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Sat Oct 8 07:08:47 2016 UTC (8 years, 1 month ago) by dashley
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1 dashley 28 %!PS-Adobe-3.0
2     %%Title: Microsoft Word - SAEPAP00.doc
3     %%Creator: AdobePS5.dll Version 5.1.2
4     %%CreationDate: 6/29/2000 15:20:33
5     %%BoundingBox: (atend)
6     %%Pages: (atend)
7     %%Orientation: Portrait
8     %%PageOrder: Special
9     %%DocumentNeededResources: (atend)
10     %%DocumentSuppliedResources: (atend)
11     %%DocumentData: Clean7Bit
12     %%TargetDevice: (Generic PostScript Printer) (2010.0) 2
13     %%LanguageLevel: 2
14     %%EndComments
15    
16     %%BeginDefaults
17     %%PageBoundingBox: 18 8 593 784
18     %%EndDefaults
19    
20    
21     %%BeginProlog
22     %%BeginResource: file Pscript_WinNT_ErrorHandler 5.0 0
23     /currentpacking where{pop/oldpack currentpacking def/setpacking where{pop false
24     setpacking}if}if/$brkpage 64 dict def $brkpage begin/prnt{dup type/stringtype
25     ne{=string cvs}if dup length 6 mul/tx exch def/ty 10 def currentpoint/toy exch
26     def/tox exch def 1 setgray newpath tox toy 2 sub moveto 0 ty rlineto tx 0
27     rlineto 0 ty neg rlineto closepath fill tox toy moveto 0 setgray show}bind def
28     /nl{currentpoint exch pop lmargin exch moveto 0 -10 rmoveto}def/=={/cp 0 def
29     typeprint nl}def/typeprint{dup type exec}readonly def/lmargin 72 def/rmargin 72
30     def/tprint{dup length cp add rmargin gt{nl/cp 0 def}if dup length cp add/cp
31     exch def prnt}readonly def/cvsprint{=string cvs tprint( )tprint}readonly def
32     /integertype{cvsprint}readonly def/realtype{cvsprint}readonly def/booleantype
33     {cvsprint}readonly def/operatortype{(--)tprint =string cvs tprint(-- )tprint}
34     readonly def/marktype{pop(-mark- )tprint}readonly def/dicttype{pop
35     (-dictionary- )tprint}readonly def/nulltype{pop(-null- )tprint}readonly def
36     /filetype{pop(-filestream- )tprint}readonly def/savetype{pop(-savelevel- )
37     tprint}readonly def/fonttype{pop(-fontid- )tprint}readonly def/nametype{dup
38     xcheck not{(/)tprint}if cvsprint}readonly def/stringtype{dup rcheck{(\()tprint
39     tprint(\))tprint}{pop(-string- )tprint}ifelse}readonly def/arraytype{dup rcheck
40     {dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}forall(])
41     tprint}ifelse}{pop(-array- )tprint}ifelse}readonly def/packedarraytype{dup
42     rcheck{dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}
43     forall(])tprint}ifelse}{pop(-packedarray- )tprint}ifelse}readonly def/courier
44     /Courier findfont 10 scalefont def end errordict/handleerror{systemdict begin
45     $error begin $brkpage begin newerror{/newerror false store vmstatus pop pop 0
46     ne{grestoreall}if showpage initgraphics courier setfont lmargin 720 moveto
47     errorname(VMError)eq{PrtVMMsg}{(ERROR: )prnt errorname prnt nl
48     (OFFENDING COMMAND: )prnt/command load prnt $error/ostack known{nl nl(STACK:)
49     prnt nl nl $error/ostack get aload length{==}repeat}if}ifelse systemdict
50     /showpage get exec(%%[ Error: )print errorname =print(; OffendingCommand: )
51     print/command load =print( ]%%)= flush}if end end end}dup 0 systemdict put dup
52     4 $brkpage put bind readonly put/currentpacking where{pop/setpacking where{pop
53     oldpack setpacking}if}if
54     %%EndResource
55     userdict /Pscript_WinNT_Incr 230 dict dup begin put
56     %%BeginResource: file Pscript_FatalError 5.0 0
57     /FatalErrorIf{{initgraphics findfont 1 index 0 eq{exch pop}{dup length dict
58     begin{1 index/FID ne{def}{pop pop}ifelse}forall/Encoding{ISOLatin1Encoding}
59     stopped{StandardEncoding}if def currentdict end/ErrFont-Latin1 exch definefont}
60     ifelse exch scalefont setfont counttomark 3 div cvi{moveto show}repeat showpage
61     quit}{cleartomark}ifelse}bind def
62     %%EndResource
63     userdict begin/PrtVMMsg{vmstatus exch sub exch pop gt{[
64     (This job requires more memory than is available in this printer.)100 500
65     (Try one or more of the following, and then print again:)100 485
66     (For the output format, choose Optimize For Portability.)115 470
67     (In the Device Settings page, make sure the Available PostScript Memory is accurate.)
68     115 455(Reduce the number of fonts in the document.)115 440
69     (Print the document in parts.)115 425 12/Times-Roman showpage
70     (%%[ PrinterError: Low Printer VM ]%%)= true FatalErrorIf}if}bind def end
71     version cvi 2016 ge{/VM?{pop}bind def}{/VM? userdict/PrtVMMsg get def}ifelse
72     105000 VM?
73     %%BeginResource: file Pscript_Win_Basic 5.0 0
74     /d/def load def/,/load load d/~/exch , d/?/ifelse , d/!/pop , d/`/begin , d/^
75     /index , d/@/dup , d/+/translate , d/$/roll , d/U/userdict , d/M/moveto , d/-
76     /rlineto , d/&/currentdict , d/:/gsave , d/;/grestore , d/F/false , d/T/true ,
77     d/N/newpath , d/E/end , d/Ac/arc , d/An/arcn , d/A/ashow , d/D/awidthshow , d/C
78     /closepath , d/V/div , d/O/eofill , d/L/fill , d/I/lineto , d/-c/curveto , d/-M
79     /rmoveto , d/+S/scale , d/Ji/setfont , d/Lc/setlinecap , d/Lj/setlinejoin , d
80     /Lw/setlinewidth , d/Lm/setmiterlimit , d/sd/setdash , d/S/show , d/LH/showpage
81     , d/K/stroke , d/W/widthshow , d/R/rotate , d/L2? false/languagelevel where{pop
82     languagelevel 2 ge{pop true}if}if d L2?{/xS/xshow , d/yS/yshow , d/zS/xyshow ,
83     d}if/b{bind d}bind d/bd{bind d}bind d/xd{~ d}bd/ld{, d}bd/bn/bind ld/lw/Lw ld
84     /lc/Lc ld/lj/Lj ld/sg/setgray ld/ADO_mxRot null d/self & d/OrgMx matrix
85     currentmatrix d/reinitialize{: OrgMx setmatrix[/TextInit/GraphInit/UtilsInit
86     counttomark{@ where{self eq}{F}?{cvx exec}{!}?}repeat cleartomark ;}b
87     /initialize{`{/Pscript_Win_Data where{!}{U/Pscript_Win_Data & put}?/ADO_mxRot ~
88     d/TextInitialised? F d reinitialize E}{U/Pscript_Win_Data 230 dict @ ` put
89     /ADO_mxRot ~ d/TextInitialised? F d reinitialize}?}b/terminate{!{& self eq
90     {exit}{E}?}loop E}b/suspend/terminate , d/resume{` Pscript_Win_Data `}b U `
91     /lucas 21690 d/featurebegin{countdictstack lucas[}b/featurecleanup{stopped
92     {cleartomark @ lucas eq{! exit}if}loop countdictstack ~ sub @ 0 gt{{E}repeat}
93     {!}?}b E/snap{transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~
94     itransform}b/dsnap{dtransform round ~ round ~ idtransform}b/nonzero_round{@ 0.5
95     ge{round}{@ -0.5 lt{round}{0 ge{1}{-1}?}?}?}b/nonzero_dsnap{dtransform
96     nonzero_round ~ nonzero_round ~ idtransform}b U<04>cvn{}put/rr{1 ^ 0 - 0 ~ -
97     neg 0 - C}b/irp{4 -2 $ + +S fx 4 2 $ M 1 ^ 0 - 0 ~ - neg 0 -}b/rp{4 2 $ M 1 ^ 0
98     - 0 ~ - neg 0 -}b/solid{[]0 sd}b/g{@ not{U/DefIf_save save put}if U/DefIf_bool
99     2 ^ put}b/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e
100     {DefIf_El !}b/UDF{L2?{undefinefont}{!}?}b/UDR{L2?{undefineresource}{! !}?}b
101     /freeVM{/Courier findfont[40 0 0 -40 0 0]makefont Ji 2 vmreclaim}b
102     %%EndResource
103     %%BeginResource: file Pscript_Win_Utils_L2 5.0 0
104     /rf/rectfill , d/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 -1 $ @ 0 ge
105     {1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{4 -2 $
106     snap + +S fx rf}b/rs/rectstroke , d/rc/rectclip , d/UtilsInit{currentglobal{F
107     setglobal}if}b/scol{! setcolor}b/colspA/DeviceGray d/colspABC/DeviceRGB d
108     /colspRefresh{colspABC setcolorspace}b/SetColSpace{colspABC setcolorspace}b
109     %%EndResource
110     end
111     %%EndProlog
112    
113     %%BeginSetup
114     statusdict begin (%%[ ProductName: ) print product print ( ]%%)= flush end
115     [ 1 0 0 1 0 0 ] false Pscript_WinNT_Incr dup /initialize get exec
116     featurebegin{
117     %%BeginNonPPDFeature: JobTimeout 0
118     0 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/JobTimeout 4 -1 roll put setuserparams}{statusdict/setjobtimeout get exec}ifelse
119     %%EndNonPPDFeature
120     }featurecleanup
121    
122     featurebegin{
123     %%BeginNonPPDFeature: WaitTimeout 300
124     300 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/WaitTimeout 4 -1 roll put setuserparams}{statusdict/waittimeout 3 -1 roll put}ifelse
125     %%EndNonPPDFeature
126     }featurecleanup
127    
128     featurebegin{
129     %%BeginFeature: *PageSize Letter
130    
131     <</DeferredMediaSelection true /PageSize [612 792] /ImagingBBox null>> setpagedevice
132     %%EndFeature
133     }featurecleanup
134     featurebegin{
135     %%BeginFeature: *Resolution 300dpi
136    
137     %%EndFeature
138     }featurecleanup
139     1 setlinecap 1 setlinejoin
140     /mysetup [ 0.24 0 0 -0.24 18 784.00062 ] def
141     %%EndSetup
142    
143     %%Page: 1 1
144     %%PageBoundingBox: 18 8 593 784
145     %%EndPageComments
146     %%BeginPageSetup
147     /DeviceRGB dup setcolorspace /colspABC exch def
148     mysetup concat colspRefresh
149     %%EndPageSetup
150    
151     0 0 0 1 scol Pscript_WinNT_Incr begin
152     %%BeginResource: file Pscript_Text 5.0 0
153     /TextInit{TextInitialised? not{/Pscript_Windows_Font & d/TextInitialised? T d
154     /fM[1 0 0 1 0 0]d/mFM matrix d/iMat[1 0 0.212557 1 0 0]d}if}b/copyfont{1 ^
155     length add dict `{1 ^/FID ne{d}{! !}?}forall & E}b/EncodeDict 11 dict d/bullets
156     {{/bullet}repeat}b/rF{3 copyfont @ ` ~ EncodeDict ~ get/Encoding ~ 3 ^/0 eq{&
157     /CharStrings known{CharStrings/Eth known not{! EncodeDict/ANSIEncodingOld get}
158     if}if}if d E}b/mF{@ 7 1 $ findfont ~{@/Encoding get @ StandardEncoding eq{! T}{
159     {ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get
160     StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{1 ^ ~ rF}{0 copyfont}? 6 -2 $
161     ! ! ~ !/pd_charset @ where{~ get 128 eq{@ FDV 2 copy get @ length array copy
162     put pd_CoverFCRange}if}{!}? 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM
163     makefont Pscript_Windows_Font 3 1 $ put}b/sLT{: Lw -M currentpoint snap M 0 - 0
164     Lc K ;}b/xUP null d/yUP null d/uW null d/xSP null d/ySP null d/sW null d/sSU{N
165     /uW ~ d/yUP ~ d/xUP ~ d}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ d/ySP ~ d/xSP ~ d}b/sT
166     {xSP ySP sW sLT}b/sR{: + R 0 0 M}b/sRxy{: matrix astore concat 0 0 M}b/eR/; , d
167     /AddOrigFP{{&/FontInfo known{&/FontInfo get length 6 add}{6}? dict `
168     /WinPitchAndFamily ~ d/WinCharSet ~ d/OrigFontType ~ d/OrigFontStyle ~ d
169     /OrigFontName ~ d & E/FontInfo ~ d}{! ! ! ! !}?}b/mFS{makefont
170     Pscript_Windows_Font 3 1 $ put}b/mF42D{0 copyfont `/FontName ~ d 2 copy ~ sub 1
171     add dict `/.notdef 0 d 2 copy 1 ~{@ 3 ^ sub Encoding ~ get ~ d}for & E
172     /CharStrings ~ d ! ! & @ E/FontName get ~ definefont}b/mF42{15 dict ` @ 4 1 $
173     FontName ~ d/FontType 0 d/FMapType 2 d/FontMatrix[1 0 0 1 0 0]d 1 ^ 254 add 255
174     idiv @ array/Encoding ~ d 0 1 3 -1 $ 1 sub{@ Encoding 3 1 $ put}for/FDepVector
175     Encoding length array d/CharStrings 2 dict `/.notdef 0 d & E d 0 1 Encoding
176     length 1 sub{@ @ 10 lt{! FontName length 1 add string}{100 lt{FontName length 2
177     add string}{FontName length 3 add string}?}? @ 0 FontName @ length string cvs
178     putinterval @ 3 -1 $ @ 4 1 $ 3 string cvs FontName length ~ putinterval cvn 1 ^
179     256 mul @ 255 add 3 -1 $ 4 ^ findfont mF42D FDepVector 3 1 $ put}for & @ E
180     /FontName get ~ definefont ! ! ! mF}b/mF_OTF_V{3{~ !}repeat 3 -1 $ ! findfont 1
181     ^ ~ definefont fM @ @ 4 .34 put 5 0 put 90 matrix R matrix concatmatrix
182     makefont Pscript_Windows_Font 3 1 $ put}b/UmF{L2?{Pscript_Windows_Font ~ undef}
183     {!}?}b/UmF42{@ findfont/FDepVector get{/FontName get undefinefont}forall
184     undefinefont}b
185     %%EndResource
186     end reinitialize
187     Pscript_WinNT_Incr begin
188     %%BeginResource: file Pscript_Encoding256 5.0 0
189     /CharCol256Encoding[/.notdef/breve/caron/dotaccent/dotlessi/fi/fl/fraction
190     /hungarumlaut/Lslash/lslash/minus/ogonek/ring/Zcaron/zcaron/.notdef/.notdef
191     /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
192     /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/exclam/quotedbl/numbersign
193     /dollar/percent/ampersand/quotesingle/parenleft/parenright/asterisk/plus/comma
194     /hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
195     /semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S
196     /T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/asciicircum/underscore/grave
197     /a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright
198     /asciitilde/.notdef/Euro/.notdef/quotesinglbase/florin/quotedblbase/ellipsis
199     /dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE/.notdef
200     /.notdef/.notdef/.notdef/quoteleft/quoteright/quotedblleft/quotedblright/bullet
201     /endash/emdash/tilde/trademark/scaron/guilsinglright/oe/.notdef/.notdef
202     /Ydieresis/.notdef/exclamdown/cent/sterling/currency/yen/brokenbar/section
203     /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/.notdef/registered
204     /macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph
205     /periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter
206     /onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis
207     /Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute
208     /Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
209     /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls
210     /agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute
211     /ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve
212     /oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex
213     /udieresis/yacute/thorn/ydieresis]def EncodeDict/256 CharCol256Encoding put
214     %%EndResource
215     end reinitialize
216    
217     %%IncludeResource: font Helvetica
218     Pscript_WinNT_Incr begin
219     %%BeginResource: file Pscript_Win_Euro_L2 5.0 0
220     /UseT3EuroFont{/currentdistillerparams where{pop currentdistillerparams
221     /CoreDistVersion get 4000 le}{false}ifelse}bind def/NewEuroT3Font?{dup/FontType
222     get 3 eq{dup/EuroFont known exch/BaseFont known and}{pop false}ifelse}bind def
223     /T1FontHasEuro{dup/CharStrings known not{dup NewEuroT3Font?{dup/EuroGlyphName
224     get exch/EuroFont get/CharStrings get exch known{true}{false}ifelse}{pop false}
225     ifelse}{dup/FontType get 1 eq{/CharStrings get/Euro known}{dup/InfoDict known{
226     /InfoDict get/Euro known}{/CharStrings get/Euro known}ifelse}ifelse}ifelse}bind
227     def/FontHasEuro{findfont dup/Blend known{pop true}{T1FontHasEuro}ifelse}bind
228     def/EuroEncodingIdx 1 def/EuroFontHdr{12 dict begin/FontInfo 10 dict dup begin
229     /version(001.000)readonly def/Notice(Copyright (c)1999 Adobe Systems
230     Incorporated. All Rights Reserved.)readonly def/FullName(Euro)readonly def
231     /FamilyName(Euro)readonly def/Weight(Regular)readonly def/isFixedPitch false
232     def/ItalicAngle 0 def/UnderlinePosition -100 def/UnderlineThickness 50 def end
233     readonly def/FontName/Euro def/Encoding 256 array 0 1 255{1 index exch/.notdef
234     put}for def/PaintType 0 def/FontType 1 def/FontMatrix[0.001 0 0 0.001 0 0]def
235     /FontBBox{-25 -23 1500 804}readonly def currentdict end dup/Private 20 dict dup
236     begin/ND{def}def/NP{put}def/lenIV -1 def/RD{string currentfile exch
237     readhexstring pop}def/-|{string currentfile exch readstring pop}executeonly def
238     /|-{def}executeonly def/|{put}executeonly def/BlueValues[-20 0 706 736 547 572]
239     |-/OtherBlues[-211 -203]|-/BlueScale 0.0312917 def/MinFeature{16 16}|-/StdHW
240     [60]|-/StdVW[71]|-/ForceBold false def/password 5839 def/Erode{8.5 dup 3 -1
241     roll 0.1 mul exch 0.5 sub mul cvi sub dup mul 71 0 dtransform dup mul exch dup
242     mul add le{pop pop 1.0 1.0}{pop pop 0.0 1.5}ifelse}def/OtherSubrs[{}{}{}
243     {systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict
244     get exec dup/startlock known{/startlock get exec}{dup/strtlck known{/strtlck
245     get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]|-/Subrs 5 array dup 0
246     <8E8B0C100C110C110C210B>put dup 1<8B8C0C100B>put dup 2<8B8D0C100B>put dup 3<0B>
247     put dup 4<8E8C8E0C100C110A0B>put |- 2 index/CharStrings 256 dict dup begin
248     /.notdef<8b8b0d0e>def end end put put dup/FontName get exch definefont pop}bind
249     def/AddEuroGlyph{2 index exch EuroEncodingIdx 1 eq{EuroFontHdr}if systemdict
250     begin/Euro findfont dup dup/Encoding get 5 1 roll/Private get begin/CharStrings
251     get dup 3 index known{pop pop pop pop end end}{begin 1 index exch def end end
252     end EuroEncodingIdx dup 1 add/EuroEncodingIdx exch def exch put}ifelse}bind def
253     /GetNewXUID{currentdict/XUID known{[7 XUID aload pop]true}{currentdict/UniqueID
254     known{[7 UniqueID]true}{false}ifelse}ifelse}bind def/BuildT3EuroFont{exch 16
255     dict begin dup/FontName exch def findfont dup/Encoding get/Encoding exch def
256     dup length 1 add dict copy dup/FID undef begin dup dup/FontName exch def
257     /Encoding 256 array 0 1 255{1 index exch/.notdef put}for def GetNewXUID{/XUID
258     exch def}if currentdict end definefont pop/BaseFont exch findfont 1000
259     scalefont def/EuroFont exch findfont 1000 scalefont def pop/EuroGlyphName exch
260     def/FontType 3 def/FontMatrix[.001 0 0 .001 0 0]def/FontBBox BaseFont/FontBBox
261     get def/Char 1 string def/BuildChar{exch dup begin/Encoding get 1 index get
262     /Euro eq{BaseFont T1FontHasEuro{false}{true}ifelse}{false}ifelse{EuroFont
263     setfont pop userdict/Idx 0 put EuroFont/Encoding get{EuroGlyphName eq{exit}
264     {userdict/Idx Idx 1 add put}ifelse}forall userdict/Idx get}{dup dup Encoding
265     exch get BaseFont/Encoding get 3 1 roll put BaseFont setfont}ifelse Char 0 3 -1
266     roll put Char stringwidth newpath 0 0 moveto Char true charpath flattenpath
267     pathbbox setcachedevice 0 0 moveto Char show end}bind def currentdict end dup
268     /FontName get exch definefont pop}bind def/AddEuroToT1Font{dup findfont dup
269     length 10 add dict copy dup/FID undef begin/EuroFont 3 -1 roll findfont 1000
270     scalefont def CharStrings dup length 1 add dict copy begin/Euro{EuroFont
271     setfont pop EuroGBBox aload pop setcachedevice 0 0 moveto EuroGName glyphshow}
272     bind def currentdict end/CharStrings exch def GetNewXUID{/XUID exch def}if 3 1
273     roll/EuroGBBox exch def/EuroGName exch def currentdict end definefont pop}bind
274     def/BuildNewFont{UseT3EuroFont{BuildT3EuroFont}{pop AddEuroToT1Font}ifelse}bind
275     def/UseObliqueEuro{findfont/FontMatrix get dup 2 get 0 eq exch dup 0 get exch 3
276     get eq and UseT3EuroFont or}bind def
277     %%EndResource
278     end reinitialize
279     7500 VM?
280     /Helvetica FontHasEuro not
281     {
282     /Euro.Helvetica
283     [556 0 24 -19 541 703 ]
284     <A3F8C00DD4E90378DA01F779D301F808D301F904DA01F899F908156CB447AD338B08FB2D
285     8B372B7BFB37085806724305D30644075B06724305DA06A0FB36E035F7218B08E08BCDB7
286     939208EE077A71405E418B083F8B4CCE84F108F76506A3D305FB8306D207F79C06A3D305
287     FBB10692E2B7E8F28B08E08BBE62A45A08090E>
288     AddEuroGlyph
289     /Euro /Helvetica /Helvetica-Copy BuildNewFont
290     } if
291     F /F0 0 /256 T /Helvetica mF
292     /F0S2A F0 [42 0 0 -42 0 0 ] mFS
293     F0S2A Ji
294     1185 3158 M (1)S
295    
296     %%IncludeResource: font Helvetica-Bold
297     7500 VM?
298     /Helvetica-Bold FontHasEuro not
299     {
300     /Euro.Helvetica-Bold
301     [556 0 12 -19 563 710 ]
302     <97F8C00DDBF7240378F70401F774EA01F803EA01F8EAF70401F8BBF9011571B141BE278B
303     08FB278B303173FB32085906642C05DB0676078B828C828B82086206632C05E506A8FB3A
304     EC3EF71B8B08C18BC192B9A908F71407676C54754C8B083B8B6ED483C508F72C06B3EA05
305     FB5E06BB07F77106B3EA05FB91069AE5B2B9CC8B08C98BB26FA17408A07691828F830809
306     0E>
307     AddEuroGlyph
308     /Euro /Helvetica-Bold /Helvetica-Bold-Copy BuildNewFont
309     } if
310     F /F1 0 /256 T /Helvetica-Bold mF
311     /F1S3A F1 [58 0 0 -58 0 0 ] mFS
312     F1S3A Ji
313     2065 164 M (99PC-314)[32 32 39 42 19 32 32 0]xS
314     /F1S4B F1 [75 0 0 -75 0 0 ] mFS
315     F1S4B Ji
316     522 305 M (A Hybrid System Solution Of The Interrupt Latency)[50 21 54 38 46 29 21 46 21 50 38 42 25 42 67 21 50 46 21 46 25 21 46 46 21 58 25 21 46 46 42 21
317     21 46 25 42 29 29 46 46 25 21 46 42 25 42 46 42 0]xS
318     1532 395 M (Compatibility Problem)[54 46 67 44 42 25 21 46 21 21 21 25 38 21 50 29 46 46 21 42 0]xS
319     /F1S32 F1 [50 0 0 -50 0 0 ] mFS
320     F1S32 Ji
321     2116 535 M (Feng Lin)[31 28 30 31 14 31 14 0]xS
322     F0S2A Ji
323     552 586 M (Department of Electrical and Computer Engineering, Wayne S)[30 23 23 23 14 12 36 23 23 12 12 23 13 12 28 10 23 21 12 14 10 21 23 10 12 23 23 23 12 30 23 36
324     23 23 12 23 14 12 28 23 23 10 23 23 23 14 10 23 23 12 12 42 23 21 23 23 12 0]xS
325     1711 586 M (tate University, Detroit, MI 48202)[12 23 12 23 12 30 23 10 23 23 14 20 10 12 21 12 12 30 23 12 14 23 10 12 12 12 35 12 12 23 23 23
326     23 0]xS
327     F1S32 Ji
328     1953 693 M (David T. Ashley)[36 28 27 14 31 14 32 14 14 35 28 30 14 28 0]xS
329     F0S2A Ji
330     310 744 M (Electronics Technical Center, Visteon Automotive Systems, 17000 Rotunda Drive, Dearborn, MI 48121-6010)
331     [28 10 23 21 12 14 23 23 10 21 20 12 26 23 21 23 23 10 21 23 10 12 30 23 23 12 23 14 12 12 28 10
332     20 12 23 23 23 12 28 23 12 23 36 23 12 10 23 23 12 28 21 20 12 23 36 20 12 12 23 23 23 23 23 12
333     30 23 12 23 23 23 23 12 30 14 10 23 23 12 12 30 23 23 14 23 23 14 23 12 12 35 12 12 23 23 23 23
334     23 14 23 23 23 0]xS
335     F1S32 Ji
336     1905 851 M (Michael Heymann)[41 14 28 30 28 28 14 14 36 28 27 44 28 30 0]xS
337     F0S2A Ji
338     568 902 M (Department of Computer Science, Technion, Isr)[30 23 23 23 14 12 36 23 23 12 12 23 13 12 30 23 36 23 23 12 23 14 12 28 21 10 23 23 21 23 12 12
339     26 23 21 23 23 10 23 23 12 12 12 20 0]xS
340     1458 902 M (ael Ins)[23 23 10 12 12 23 0]xS
341     1581 902 M (titute of Technology, Haifa 32000, Israel)[12 10 12 23 12 23 12 23 13 12 26 23 21 23 23 23 10 23 23 21 12 12 30 23 10 13 23 12 23 23 23 23
342     23 12 12 12 20 14 23 23 0]xS
343     F1S32 Ji
344     1931 1011 M (Michael J. Burke)[41 14 28 30 28 28 14 14 28 14 14 36 30 19 28 0]xS
345     F0S2A Ji
346     310 1063 M (Electronics Technical Center, Visteon Automotive Systems, 17000 )
347     [28 10 23 21 12 14 23 23 10 21 20 12 26 23 21 23 23 10 21 23 10 12 30 23 23 12 23 14 12 12 28 10
348     20 12 23 23 23 12 28 23 12 23 36 23 12 10 23 23 12 28 21 20 12 23 36 20 12 12 23 23 23 23 23 0]xS
349     1555 1063 M (Rotunda Drive,)[30 23 12 23 23 23 23 12 30 14 10 23 23 0]xS
350     1836 1063 M ( Dearborn, MI 48121-6010)[12 30 23 23 14 23 23 14 23 12 12 35 12 12 23 23 23 23 23 14 23 23 23 0]xS
351     /F0S21 F0 [33 0 0 -33 0 0 ] mFS
352     F0S21 Ji
353     75 1257 M (Copyright \251 1997 Society of Automotive Engineers, Inc.)[24 17 18 15 11 7 18 18 9 9 24 9 18 18 18 18 9 22 17 17 7 17 9 15 9 17 10 9 22 18 9 17
354     27 17 9 7 15 17 9 22 18 18 7 18 17 17 11 17 9 9 9 18 17 0]xS
355     /F1S2A F1 [42 0 0 -42 0 0 ] mFS
356     F1S2A Ji
357     75 1505 M (ABSTRACT)[29 30 28 27 30 29 30 0]xS
358     F0S2A Ji
359     75 1604 M (Microprocessors and microcontrollers are now widely)[35 10 21 14 23 23 14 23 21 23 20 20 23 14 20 25 23 23 23 26 36 10 21 14 23 21 23 23 12 14 23 10
360     10 23 14 20 26 23 14 23 26 23 23 29 26 29 10 23 23 10 0]xS
361     75 1652 M (used in automobil)[23 20 23 23 19 10 23 20 23 23 12 23 36 23 23 10 0]xS
362     419 1652 M (es. Microprocessor systems contain)[23 20 12 20 20 35 10 21 14 23 23 14 23 21 23 20 20 23 14 20 20 21 20 12 23 36 20 20 21 23 23 12
363     23 10 0]xS
364     75 1700 M (sources of interrupt and interrupt service routines, which)[20 23 23 14 21 23 20 13 23 13 13 10 23 12 23 14 14 23 23 12 13 23 23 23 13 10 23 12 23 14 14 23
365     23 12 13 20 23 14 23 10 21 23 14 14 23 23 12 10 23 23 20 12 14 29 23 10 21 0]xS
366     75 1748 M (are software components executed in response to t)[23 14 23 20 20 23 13 12 29 23 14 23 20 21 23 36 23 23 23 23 23 12 20 20 23 22 23 21 23 12 23 23
367     20 10 23 20 14 23 20 23 23 23 20 23 20 12 23 21 0]xS
368     1079 1748 M (he)[23 0]xS
369     75 1796 M (assertion of an interrupt in hardware. A major problem)[23 20 20 23 14 12 10 23 23 15 23 13 16 23 23 16 10 23 12 23 14 14 23 23 12 16 10 23 16 23 23 14
370     23 29 23 14 23 12 16 16 28 16 36 23 10 23 14 16 23 14 23 23 10 23 0]xS
371     75 1844 M (in designing the software of microprocessor systems is)[10 23 17 23 23 20 10 23 23 10 23 23 17 12 23 23 17 20 23 13 12 29 23 14 23 17 23 13 17 36 10 21
372     14 23 23 14 23 21 23 20 20 23 14 18 20 21 20 12 23 36 20 18 10 0]xS
373     75 1892 M (the analytical treatment of interrupt latency. Because)[12 23 23 20 23 23 23 10 21 12 10 21 23 10 20 12 14 23 23 12 36 23 23 12 20 23 13 20 10 23 12 23
374     14 14 23 23 12 20 10 23 12 23 23 21 21 12 21 21 28 23 21 23 23 20 0]xS
375     75 1940 M (multiple interrupt service routines are executed on the)[36 23 10 12 10 23 10 23 19 10 23 12 23 14 14 23 23 12 19 20 23 14 23 10 21 23 19 14 23 23 12 10
376     23 23 20 19 23 14 23 19 23 22 23 21 23 12 23 23 19 23 23 19 12 23 0]xS
377     75 1988 M (same CPU, they compete for the CPU and interfere with)[20 23 36 23 12 30 28 30 12 12 12 23 23 21 12 21 23 36 23 23 12 23 13 13 23 14 13 12 23 23 13 30
378     28 30 13 23 23 23 13 10 23 12 23 14 13 23 14 23 13 29 10 12 0]xS
379     75 2036 M (each other's latency requirements. Here, i)[23 23 21 23 32 23 12 23 23 14 8 20 32 10 23 12 23 23 21 21 32 14 23 23 23 10 14 23 36 23 23 12
380     20 12 32 32 30 23 14 23 12 32 0]xS
381     981 2036 M (nterrupt)[23 12 23 14 14 23 23 0]xS
382     75 2084 M (latency is defined as the delay between the assertion of)[10 23 12 23 23 21 21 14 10 20 14 23 23 13 10 23 23 23 14 23 20 14 12 23 23 14 23 23 10 23 21 15
383     23 23 12 29 23 23 23 15 12 23 23 15 23 20 20 23 14 12 10 23 23 15 23 0]xS
384     75 2132 M (the interrupt in hardware and the start of execution of)[12 23 23 19 10 23 12 23 14 14 23 23 12 19 10 23 19 23 23 14 23 29 23 14 23 19 23 23 23 19 12 23
385     23 19 20 12 23 14 12 19 23 13 20 23 22 23 21 23 12 10 23 23 20 23 0]xS
386     75 2180 M (the associated interrupt service routine. It is estimated)[12 23 23 16 23 20 20 23 21 10 23 12 23 23 16 10 23 12 23 14 14 23 23 12 16 20 23 14 23 10 21 23
387     16 14 23 23 12 10 23 23 12 16 16 12 12 17 10 20 17 23 20 12 10 36 23 12 23 0]xS
388     75 2228 M (that 80% of intermittent bugs in small microprocessor)[12 23 23 12 20 23 23 37 20 23 13 21 10 23 12 23 14 36 10 12 12 23 23 12 21 23 23 23 20 21 10 23
389     21 20 36 23 10 10 21 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
390     75 2276 M (software loads are due to improper treatment of)[20 23 13 12 29 23 14 23 35 10 23 23 23 20 35 23 14 23 36 23 23 23 36 12 23 36 10 36 23 14 23 23
391     23 14 36 12 14 23 23 12 36 23 23 12 36 23 0]xS
392     75 2324 M (interrupts. Until)[10 23 12 23 14 14 23 23 12 20 12 17 18 30 23 12 10 0]xS
393     381 2324 M ( this work, there is no analytic method)[18 12 23 10 20 18 29 23 14 21 12 18 12 23 23 14 23 18 10 20 18 23 23 18 23 23 23 10 21 12 10 21
394     18 36 23 12 23 23 0]xS
395     75 2372 M (for analyzing a particular system to determine if it may)[13 23 14 16 23 23 23 10 21 21 10 23 23 16 23 16 23 23 14 12 10 21 23 10 23 14 16 20 21 20 12 23
396     36 16 12 23 17 23 23 12 23 14 36 10 23 23 17 10 13 17 10 12 17 36 23 0]xS
397     75 2420 M (violate interrupt latency requirements. There is also no)[23 10 23 10 23 12 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 15 14 23 23 23 10 14
398     23 36 23 23 12 20 12 15 15 26 23 23 14 23 15 10 20 16 23 10 20 23 16 23 0]xS
399     75 2468 M (reliable empirical method for ruling out the possibility of)[14 23 10 10 23 23 10 23 14 23 36 23 10 14 10 21 23 10 14 36 23 12 23 23 23 14 13 23 14 15 14 23
400     10 10 23 23 15 23 23 12 15 12 23 23 15 23 23 20 20 10 23 10 10 10 12 21 15 23 0]xS
401     75 2516 M (interrupt latency violations in a particular system, as)[10 23 12 23 14 14 23 23 12 24 10 23 12 23 23 21 21 24 23 10 23 10 23 12 10 23 23 20 24 10 23 24
402     23 24 23 23 14 12 10 21 23 10 23 14 25 20 21 20 12 23 36 12 25 23 0]xS
403     75 2564 M (they may occur u)[12 23 23 21 13 36 23 21 13 23 21 21 23 14 13 0]xS
404     398 2564 M (nder only very specific conditions. We)[23 23 23 14 13 23 23 10 21 13 23 23 14 21 13 20 23 23 21 10 13 10 21 13 21 23 23 23 10 12 10 23
405     23 20 12 14 14 42 0]xS
406     75 2612 M (use a newly developed hybrid system approach to solve)[23 20 23 13 23 13 23 23 29 10 21 13 23 23 23 23 10 23 23 23 23 13 23 21 23 14 10 23 14 20 21 20
407     12 23 36 14 23 23 23 14 23 23 21 23 14 12 23 14 20 23 10 23 0]xS
408     75 2660 M (this interrupt latency compatibility analysis problem. We)[12 23 10 20 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12 10 23 10
409     10 10 12 21 12 23 23 23 10 21 20 10 20 12 23 14 23 23 10 23 36 12 12 13 42 0]xS
410     75 2708 M (have developed an efficient algorithm to determine if)[23 23 23 23 21 23 23 23 23 10 23 23 23 23 21 23 23 21 23 13 13 10 21 10 23 23 12 22 23 10 23 23
411     14 10 12 23 36 22 12 23 22 23 23 12 23 14 36 10 23 23 22 10 0]xS
412     75 2756 M (interrupt latency violations may occur in a particular)[10 23 12 23 14 14 23 23 12 25 10 23 12 23 23 21 21 25 23 10 23 10 23 12 10 23 23 20 25 36 23 21
413     25 23 21 21 23 14 25 10 23 25 23 25 23 23 14 12 10 21 23 10 23 0]xS
414     75 2804 M (system. A software tool that implements the algorithm)[20 21 20 12 23 36 12 16 17 28 17 20 23 13 12 29 23 14 23 17 12 23 23 10 17 12 23 23 12 17 10 36
415     23 10 23 36 23 23 12 20 17 12 23 23 17 23 10 23 23 14 10 12 23 0]xS
416     75 2852 M (is also being developed. With such software, we can)[10 20 19 23 10 20 23 19 23 23 10 23 23 19 23 23 23 23 10 23 23 23 23 12 19 19 42 10 12 23 19 20
417     23 21 23 20 20 23 13 12 29 23 14 23 12 20 29 23 20 21 23 0]xS
418     75 2900 M (easily check if interrupt latency constraints may be)[23 23 20 10 10 21 28 21 23 23 21 21 28 10 13 28 10 23 12 23 14 14 23 23 12 28 10 23 12 23 23 21
419     21 28 21 23 23 20 12 14 23 10 23 12 20 28 36 23 21 29 23 0]xS
420     75 2948 M (violated under any circumstances. If so, such software)[23 10 23 10 23 12 23 23 18 23 23 23 23 14 18 23 23 21 18 21 10 14 21 23 36 20 12 23 23 21 23 20
421     12 18 12 13 18 20 23 12 18 20 23 21 23 19 20 23 13 12 29 23 14 0]xS
422     75 2996 M (may also indicate how to modify the interrupts and)[36 23 21 26 23 10 20 23 26 10 23 23 10 21 23 12 23 26 23 23 29 26 12 23 27 36 23 23 10 13 21 27
423     12 23 23 27 10 23 12 23 14 14 23 23 12 20 27 23 23 0]xS
424     75 3044 M (interrupt service routines to avoid such violations.)[10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 20 12 12 23 12 23 23
425     23 10 23 12 20 23 21 23 12 23 10 23 10 23 12 10 23 23 20 0]xS
426     F1S2A Ji
427     1275 1553 M (INTRODUCTION)[12 30 27 30 33 30 30 30 27 12 33 0]xS
428     F0S2A Ji
429     1275 1652 M (Microprocessor systems contain interrupt sources \()[35 10 21 14 23 23 14 23 21 23 20 20 23 14 16 20 21 20 12 23 36 20 16 21 23 23 12 23 10 23 16 10
430     23 12 23 14 14 23 23 12 17 20 23 23 14 21 23 20 17 0]xS
431    
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453     F /F2 0 /256 T /Helvetica-Oblique mF
454     /F2S2A F2 [42 0 0 -42 0 0 ] mFS
455     F2S2A Ji
456     2240 1652 M (IS)[11 0]xS
457     F0S2A Ji
458     2279 1652 M (s\),)[20 14 0]xS
459     1275 1701 M (which can request service from the processor \(assert an)[29 23 10 21 23 13 21 23 23 13 14 23 23 23 23 20 12 13 20 23 14 23 10 21 23 13 13 14 23 36 14 12
460     23 23 14 23 14 23 21 23 20 20 23 14 14 14 23 20 20 23 14 12 14 23 0]xS
461     1275 1749 M (interrupt\), and must always have a software response)[10 23 12 23 14 14 23 23 12 14 12 20 23 23 23 20 36 23 20 12 20 23 10 29 23 21 20 20 23 23 23 23
462     21 23 21 20 23 13 12 29 23 14 23 21 14 23 20 23 23 23 20 0]xS
463     1275 1797 M (\(the execution of the corresponding software interrupt)[14 12 23 23 21 23 22 23 21 23 12 10 23 23 21 23 13 22 12 23 23 22 21 23 14 14 23 20 23 23 23 23
464     10 23 23 22 20 23 13 12 29 23 14 23 22 10 23 12 23 14 14 23 23 0]xS
465     1275 1845 M (service routine, or )[20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 12 12 23 14 0]xS
466     F2S2A Ji
467     1622 1845 M (ISR)[11 28 0]xS
468     F0S2A Ji
469     1691 1845 M (\) starting within an interval of time)[14 12 20 12 23 14 12 10 23 23 12 29 10 12 23 10 23 12 23 23 13 10 23 12 23 14 23 23 10 13 23 13
470     13 12 10 36 0]xS
471     1275 1894 M (\(the maximum allowable interrupt latency, or )[14 12 23 23 17 36 23 22 10 36 23 36 17 23 10 10 23 29 23 23 10 23 17 10 23 12 23 14 14 23 23 12
472     17 10 23 12 23 23 21 21 12 17 23 14 0]xS
473     F2S2A Ji
474     2146 1894 M (AIL)[28 11 0]xS
475     F0S2A Ji
476     2208 1894 M (\) after)[14 18 23 13 12 23 0]xS
477     1275 1943 M (the assertion of the hardware interrupt. Because a)[12 23 23 26 23 20 20 23 14 12 10 23 23 26 23 13 26 12 23 23 26 23 23 14 23 29 23 14 23 26 10 23
478     12 23 14 14 23 23 12 12 26 26 28 23 21 23 23 20 23 26 0]xS
479     1275 1991 M (processor may execute only one stream of instructions)[23 14 23 21 23 20 20 23 14 17 36 23 21 17 23 22 23 21 23 12 23 17 23 23 10 21 17 23 23 23 17 20
480     12 14 23 23 36 18 23 13 18 10 23 20 12 14 23 21 12 10 23 23 0]xS
481     1275 2039 M (at a time, the execution of one ISR may delay the)[23 12 24 23 24 12 10 36 23 12 25 12 23 23 25 23 22 23 21 23 12 10 23 23 25 23 13 25 23 23 23 25
482     12 28 30 25 36 23 21 25 23 23 10 23 21 25 12 23 0]xS
483     1275 2087 M (execution of another ISR until the first has completed.)[23 22 23 21 23 12 10 23 23 18 23 13 18 23 23 23 12 23 23 14 18 12 28 30 18 23 23 12 10 10 18 12
484     23 23 18 13 10 14 20 12 19 23 23 20 19 21 23 36 23 10 23 12 23 23 0]xS
485     1275 2135 M (Hence, ISs and their associated ISRs interfere with each)[30 23 23 21 23 12 12 12 28 20 12 23 23 23 12 12 23 23 10 14 12 23 20 20 23 21 10 23 12 23 23 13
486     12 28 30 20 13 10 23 12 23 14 13 23 14 23 13 29 10 12 23 13 23 23 21 0]xS
487     1275 2183 M (other\222s interrupt latency requirements and may not be)[23 12 23 23 14 9 20 20 10 23 12 23 14 14 23 23 12 20 10 23 12 23 23 21 21 20 14 23 23 23 10 14
488     23 36 23 23 12 20 20 23 23 23 20 36 23 21 21 23 23 12 21 23 0]xS
489     1275 2231 M (combined arbitrarily in the same microprocessor system)[21 23 36 23 10 23 23 23 14 23 14 23 10 12 14 23 14 10 10 21 14 10 23 14 12 23 23 14 20 23 36 23
490     14 36 10 21 14 23 23 14 23 21 23 20 20 23 14 14 20 21 20 12 23 0]xS
491     1275 2279 M (without the possibility of the AIL being violated for some)[29 10 12 23 23 23 12 13 12 23 23 13 23 23 20 20 10 23 10 10 10 12 21 13 23 13 13 12 23 23 13 28
492     12 23 13 23 23 10 23 23 14 23 10 23 10 23 12 23 23 14 13 23 14 14 20 23 36 0]xS
493     1275 2327 M (or all ISs.)[23 14 12 23 10 10 12 12 28 20 0]xS
494     1275 2425 M (As a necessary condition to guarantee that a)[28 20 44 23 44 23 23 21 23 20 20 23 14 21 44 21 23 23 23 10 12 10 23 23 44 12 23 44 23 23 23 14
495     23 23 12 23 23 44 12 23 23 12 44 0]xS
496     1275 2473 M (microprocessor system will always behave as intended,)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 15 20 21 20 12 23 36 16 29 10 10 10 16 23 10 29 23 21
497     20 16 23 23 23 23 23 23 16 23 20 16 10 23 12 23 23 23 23 23 0]xS
498     1275 2521 M (each IS must always be serviced by its corresponding)[23 23 21 23 18 12 28 19 36 23 20 12 19 23 10 29 23 21 20 19 23 23 19 20 23 14 23 10 21 23 23 19
499     23 21 19 10 12 20 19 21 23 14 14 23 20 23 23 23 23 10 23 0]xS
500     1275 2569 M (ISR within the AIL. Verifying that the interrupt latency)[12 28 30 17 29 10 12 23 10 23 17 12 23 23 18 28 12 23 12 18 18 28 23 14 10 13 21 10 23 23 18 12
501     23 23 12 18 12 23 23 18 10 23 12 23 14 14 23 23 12 18 10 23 12 23 23 21 0]xS
502     1275 2617 M (requirement is always satisfied for every IS is the)[14 23 23 23 10 14 23 36 23 23 12 29 10 20 29 23 10 29 23 21 20 29 20 23 12 10 20 13 10 23 23 29
503     13 23 14 29 23 23 23 14 21 29 12 28 30 10 20 30 12 23 0]xS
504     1275 2665 M (interrupt latency compatibility problem that we address)[10 23 12 23 14 14 23 23 12 18 10 23 12 23 23 21 21 18 21 23 36 23 23 12 10 23 10 10 10 12 21 18
505     23 14 23 23 10 23 36 18 12 23 23 12 18 29 23 19 23 23 23 14 23 20 0]xS
506     1275 2713 M (in this paper.)[10 23 12 12 23 10 20 12 23 23 23 23 14 0]xS
507     1275 2811 M (The importance of the interrupt latency compatibility)[26 23 23 25 10 36 23 23 14 12 23 23 21 23 26 23 13 26 12 23 23 26 10 23 12 23 14 14 23 23 12 26
508     10 23 12 23 23 21 21 26 21 23 36 23 23 12 10 23 10 10 10 12 0]xS
509     1275 2859 M (problem in microprocessor system design cannot be)[23 14 23 23 10 23 36 25 10 23 26 36 10 21 14 23 23 14 23 21 23 20 20 23 14 26 20 21 20 12 23 36
510     26 23 23 20 10 23 23 26 21 23 23 23 23 12 26 23 0]xS
511     1275 2907 M (overstated. A system accidentally constructed so that)[23 23 23 14 20 12 23 12 23 23 12 19 19 28 19 20 21 20 12 23 36 19 23 21 21 10 23 23 23 12 23 10
512     10 21 19 21 23 23 20 12 14 23 21 12 23 23 19 20 23 20 12 23 23 0]xS
513     1275 2955 M (interrupt latency incompatibilities exist has a high)[10 23 12 23 14 14 23 23 12 34 10 23 12 23 23 21 21 35 10 23 21 23 36 23 23 12 10 23 10 10 10 12
514     10 23 20 35 23 22 10 20 12 35 23 23 20 35 23 35 23 10 23 0]xS
515     1275 3003 M (probability of exhibiting serious behavioral defects which)[23 14 23 23 23 23 10 10 10 12 21 12 23 13 12 23 22 23 10 23 10 12 10 23 23 12 20 23 14 10 23 23
516     20 12 23 23 23 23 23 10 23 14 23 10 13 23 23 13 23 21 12 20 13 29 23 10 21 0]xS
517     1275 3051 M (are )[23 14 23 0]xS
518     F2S2A Ji
519     1365 3051 M (intermittent)[9 23 12 23 14 35 9 12 12 23 23 0]xS
520     F0S2A Ji
521     1572 3051 M (, because the conditions required to)[12 30 23 23 21 23 23 20 23 30 12 23 23 30 21 23 23 23 10 12 10 23 23 20 30 14 23 23 23 10 14 23
522     23 31 12 0]xS
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534    
535     0 0 0 1 scol 1185 3158 M (2)S
536     75 156 M (cause an interrupt latency violation may involve specific)[21 23 23 20 23 13 23 23 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 21 13 23 10 23 10 23
537     12 10 23 23 14 36 23 21 14 10 23 23 23 10 23 23 14 20 23 23 21 10 13 10 0]xS
538     75 204 M (timing relationships between the assertion of different)[12 10 36 10 23 23 21 14 23 10 23 12 10 23 23 20 23 10 23 20 21 23 23 12 29 23 23 23 22 12 23 23
539     22 23 20 20 23 14 12 10 23 23 22 23 13 22 23 10 13 13 23 14 23 23 0]xS
540     75 252 M (hardware interrupts. Furthermore, it is uncertain that)[23 23 14 23 29 23 14 23 22 10 23 12 23 14 14 23 23 12 20 12 22 22 26 23 14 12 23 23 14 36 23 14
541     23 12 22 10 12 22 10 20 22 23 23 21 23 14 12 23 10 23 23 12 23 23 0]xS
542     75 300 M (product testing will excite the system with these)[23 14 23 23 23 21 12 36 12 23 20 12 10 23 23 36 29 10 10 10 36 23 22 21 10 12 23 36 12 23 23 36
543     20 21 20 12 23 36 36 29 10 12 23 37 12 23 23 20 0]xS
544     75 348 M (necessary timing relationships. For an automobile)[23 23 21 23 20 20 23 14 21 31 12 10 36 10 23 23 31 14 23 10 23 12 10 23 23 20 23 10 23 20 12 31
545     31 26 23 14 31 23 23 32 23 23 12 23 36 23 23 10 10 0]xS
546     75 396 M (manufacturer which produces microprocessor systems)[36 23 23 23 13 23 21 12 23 14 23 14 22 29 23 10 21 23 22 23 14 23 23 23 21 23 20 22 36 10 21 14
547     23 23 14 23 21 23 20 20 23 14 23 20 21 20 12 23 36 0]xS
548     75 444 M (with firmware that cannot be altered after production,)[29 10 12 23 21 13 10 14 36 29 23 14 23 22 12 23 23 12 22 21 23 23 23 23 12 22 23 23 22 23 10 12
549     23 14 23 23 22 23 13 12 23 14 22 23 14 23 23 23 21 12 10 23 23 0]xS
550     75 492 M (intermittent defects may cause disappointed customers,)[10 23 12 23 14 36 10 12 12 23 23 12 15 23 23 13 23 21 12 20 15 36 23 21 15 21 23 23 20 23 15 23
551     10 20 23 23 23 23 10 23 12 23 23 15 21 23 20 12 23 36 23 14 20 0]xS
552     75 540 M (warranty returns, or government-mandated vehicle)[29 23 14 14 23 23 12 21 39 14 23 12 23 14 23 20 12 39 23 14 39 23 23 23 23 14 23 36 23 23 12 14
553     36 23 23 23 23 12 23 23 40 23 23 23 10 21 10 0]xS
554     75 588 M (recalls. For systems which may cause injury or loss of)[14 23 21 23 10 10 20 12 15 16 26 23 14 16 20 21 20 12 23 36 20 16 29 23 10 21 23 16 36 23 21 16
555     21 23 23 20 23 16 10 23 10 23 14 21 16 23 14 16 10 23 20 20 16 23 0]xS
556     75 636 M (life through defective behavior\227such as airbag)[10 10 13 23 46 12 23 14 23 23 23 23 46 23 23 13 23 21 12 10 23 23 46 23 23 23 23 23 10 23 14 42
557     20 23 21 23 47 23 20 47 23 10 14 23 23 0]xS
558     75 684 M (deployment systems, ABS systems, throttle controls, or)[23 23 23 10 23 21 36 23 23 12 13 20 21 20 12 23 36 20 12 14 28 28 28 14 20 21 20 12 23 36 20 12
559     14 14 12 23 14 23 12 12 10 23 14 21 23 23 12 14 23 10 20 12 14 23 0]xS
560     75 732 M (fly-by-wire controls\227the importance of minimizing the)[13 10 21 14 23 21 14 29 10 14 23 21 21 23 23 12 14 23 10 20 42 12 23 23 21 10 36 23 23 14 12 23
561     23 21 23 22 23 13 22 36 10 23 10 36 10 21 10 23 23 22 12 23 0]xS
562     75 780 M (probability of intermittent defective behavior is clear.)[23 14 23 23 23 23 10 10 10 12 21 12 23 13 12 10 23 12 23 14 36 10 12 12 23 23 12 12 23 23 13 23
563     21 12 10 23 23 12 23 23 23 23 23 10 23 14 12 10 20 12 21 10 23 23 14 0]xS
564     75 878 M (The interrupt latency compatibility problem is difficult to)[26 23 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 15 21 23 36 23 23 12 10 23 10 10
565     10 12 21 15 23 14 23 23 10 23 36 15 10 20 15 23 10 13 13 10 21 23 10 12 15 12 0]xS
566     75 926 M (solve, and has defied an analytical solution by the)[20 23 10 23 23 12 27 23 23 23 27 23 23 20 27 23 23 13 10 23 23 28 23 23 28 23 23 23 10 21 12 10
567     21 23 10 28 20 23 10 23 12 10 23 23 28 23 21 28 12 23 0]xS
568     75 974 M (mathematical and computer science community for)[36 23 12 23 23 36 23 12 10 21 23 10 31 23 23 23 31 21 23 36 23 23 12 23 14 32 20 21 10 23 23 21
569     23 32 21 23 36 36 23 23 10 12 21 32 13 23 0]xS
570     75 1022 M (more than 25 years)[36 23 14 23 18 12 23 23 23 18 23 23 18 21 23 23 14 0]xS
571     /F0S1B F0 [27 0 0 -27 0 0 ] mFS
572     F0S1B Ji
573     453 1001 M (1)S
574     F0S2A Ji
575     468 1022 M (. We believe that the reason this)[12 18 18 42 23 18 23 23 10 10 23 23 23 18 12 23 23 12 18 12 23 23 18 14 23 23 20 23 23 18 12 23
576     10 0]xS
577     75 1070 M (problem has defied solution is that it combines both)[23 14 23 23 10 23 36 23 23 23 20 24 23 23 13 10 23 23 24 20 23 10 23 12 10 23 23 24 10 20 24 12
578     23 23 12 24 10 12 24 21 23 36 23 10 23 23 20 24 23 23 12 0]xS
579     75 1118 M (discrete and continuous elements, and a mathematical)[23 10 20 21 14 23 12 23 18 23 23 23 18 21 23 23 12 10 23 23 23 23 20 18 23 10 23 36 23 23 12 20
580     12 18 23 23 23 18 23 18 36 23 12 23 23 36 23 12 10 21 23 0]xS
581     75 1166 M (framework in which this problem can be embedded)[13 14 23 36 23 29 23 14 21 26 10 23 27 29 23 10 21 23 27 12 23 10 20 27 23 14 23 23 10 23 36 27
582     21 23 23 27 23 23 27 23 36 23 23 23 23 23 0]xS
583     75 1214 M (\(hybrid systems\) is a relatively recent development.)[14 23 21 23 14 10 23 12 20 21 20 12 23 36 20 14 12 10 20 12 23 12 14 23 10 23 12 10 23 23 10 21
584     12 14 23 21 23 23 12 12 23 23 23 23 10 23 23 36 23 23 12 0]xS
585     75 1312 M (To analytically verify that interrupt latency requirements)[26 23 14 23 23 23 10 21 12 10 21 23 10 10 21 15 23 23 14 10 13 21 15 12 23 23 12 15 10 23 12 23
586     14 14 23 23 12 15 10 23 12 23 23 21 21 15 14 23 23 23 10 14 23 36 23 23 12 0]xS
587     75 1360 M (can )[21 23 23 0]xS
588     F2S2A Ji
589     158 1360 M (never)[23 23 21 23 0]xS
590     F0S2A Ji
591     262 1360 M ( be violated, it must be verified that they will)[16 23 23 17 23 10 23 10 23 12 23 23 12 17 10 12 17 36 23 20 12 17 23 23 17 23 23 14 10 13 10 23
592     23 17 12 23 23 12 17 12 23 23 21 17 29 10 10 0]xS
593     75 1409 M (never be violated in )[23 23 23 23 14 22 23 23 22 23 10 23 10 23 12 23 23 22 10 23 0]xS
594     F2S2A Ji
595     495 1409 M (any)[23 23 0]xS
596     F0S2A Ji
597     562 1409 M ( possible run of the system.)[22 23 23 20 20 10 23 10 23 22 14 23 23 23 23 13 23 12 23 23 23 20 21 20 12 23 36 0]xS
598     75 1458 M (The complexity of practical systems makes it impossible)[26 23 23 12 21 23 36 23 10 23 22 10 12 21 12 23 13 13 23 14 23 21 12 10 21 23 10 13 20 21 20 12
599     23 36 20 13 36 23 21 23 20 13 10 12 13 10 36 23 23 20 20 10 23 10 0]xS
600     75 1506 M (to exhaustively search all possible runs of the system.)[12 23 18 23 22 23 23 23 20 12 10 23 23 10 21 18 20 23 23 14 21 23 18 23 10 10 18 23 23 20 20 10
601     23 10 23 18 14 23 23 20 18 23 13 18 12 23 23 19 20 21 20 12 23 36 0]xS
602     75 1554 M (For the same reason, testing or simulation results can)[26 23 14 18 12 23 23 18 20 23 36 23 19 14 23 23 20 23 23 12 19 12 23 20 12 10 23 23 19 23 14 19
603     20 10 36 23 10 23 12 10 23 23 19 14 23 20 23 10 12 20 19 21 23 0]xS
604     75 1602 M (never be conclusive.)[23 23 23 23 14 12 23 23 12 21 23 23 21 10 23 20 10 23 23 0]xS
605     75 1700 M (In the view of the authors, the only practical way to)[12 23 22 12 23 23 22 23 10 23 29 23 23 13 23 12 23 23 23 23 23 12 23 23 14 20 12 23 12 23 23 23
606     23 23 10 21 23 23 14 23 21 12 10 21 23 10 23 29 23 21 23 12 0]xS
607     75 1748 M (solve the interrupt latency compatibility problem is by an)[20 23 10 23 23 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23
608     23 12 10 23 10 10 10 12 21 13 23 14 23 23 10 23 36 13 10 20 13 23 21 13 23 0]xS
609     75 1796 M (intelligent )[10 23 12 23 10 10 10 23 23 23 12 0]xS
610     F2S2A Ji
611     286 1796 M (analytical)[23 23 23 9 21 12 9 21 23 0]xS
612     F0S2A Ji
613     459 1796 M ( approach that will consider all)[32 23 23 23 14 23 23 21 23 33 12 23 23 12 33 29 10 10 10 33 21 23 23 20 10 23 23 14 33 23 10 0]xS
614     75 1845 M (possible runs of the system without an exhaustive)[23 23 20 20 10 23 10 23 30 14 23 23 20 30 23 13 30 12 23 23 30 20 21 20 12 23 36 30 29 10 12 23
615     23 23 12 31 23 23 31 23 22 23 23 23 20 12 10 23 0]xS
616     75 1893 M (search. We believe that such an approach exists using)[20 23 23 14 21 23 12 14 14 42 23 14 23 23 10 10 23 23 23 15 12 23 23 12 15 20 23 21 23 15 23 23
617     15 23 23 23 14 23 23 21 23 15 23 22 10 20 12 20 15 23 20 10 23 0]xS
618     75 1941 M (a theory that we have developed recently for a class of)[23 15 12 23 23 23 14 21 15 12 23 23 12 15 29 23 15 23 23 23 23 15 23 23 23 23 10 23 23 23 23 15
619     14 23 21 23 23 12 10 21 15 13 23 14 16 23 16 21 10 23 20 20 16 23 0]xS
620     75 1989 M (so-called )[20 23 14 21 23 10 10 23 23 0]xS
621     F2S2A Ji
622     254 1989 M (hybrid systems)[23 21 23 14 9 23 12 21 21 21 12 23 35 0]xS
623     F0S2A Ji
624     533 1989 M (.)S
625     F2S2A Ji
626     75 2088 M (Hybrid)[30 21 23 14 9 0]xS
627     F0S2A Ji
628     195 2088 M ( is used to classify a system consisting of both)[20 10 20 20 23 20 23 23 20 12 23 20 21 10 23 20 20 10 13 21 20 23 20 20 21 20 12 23 36 20 21 23
629     23 20 10 20 12 10 23 23 20 23 13 21 23 23 12 0]xS
630     75 2137 M (continuous dynamics and discrete events. In our)[21 23 23 12 10 23 23 23 23 20 32 23 21 23 23 36 10 21 20 32 23 23 23 32 23 10 20 21 14 23 12 23
631     32 23 23 23 23 12 20 12 32 33 12 23 33 23 23 0]xS
632     75 2185 M (context, continuous dynamics describe essential)[21 23 23 12 23 22 12 12 50 21 23 23 12 10 23 23 23 23 20 51 23 21 23 23 36 10 21 20 51 23 23 20
633     21 14 10 23 23 51 23 20 20 23 23 12 10 23 0]xS
634     75 2233 M (continuous elements of the system such as the passage)[21 23 23 12 10 23 23 23 23 20 13 23 10 23 36 23 23 12 20 13 23 13 14 12 23 23 14 20 21 20 12 23
635     36 14 20 23 21 23 14 23 20 14 12 23 23 14 23 23 20 20 23 23 0]xS
636     75 2281 M (of time, while discrete events describe events such as)[23 13 18 12 10 36 23 12 18 29 23 10 10 23 18 23 10 20 21 14 23 12 23 18 23 23 23 23 12 20 18 23
637     23 20 21 14 10 23 23 18 23 23 23 23 12 20 18 20 23 21 23 19 23 0]xS
638     75 2329 M (the assertion of an interrupt or a discrete state change in)[12 23 23 12 23 20 20 23 14 12 10 23 23 12 23 13 12 23 23 12 10 23 12 23 14 14 23 23 12 12 23 14
639     12 23 12 23 10 20 21 14 23 12 23 13 20 12 23 12 23 13 21 23 23 23 23 23 13 10 0]xS
640     75 2377 M (digital hardware. Both continuous dynamics and)[23 10 23 10 12 23 10 37 23 23 14 23 29 23 14 23 12 37 37 28 23 12 23 37 21 23 23 12 10 23 23 23
641     23 20 37 23 21 23 23 36 10 21 20 37 23 23 0]xS
642     75 2425 M (discrete events are needed in describing or modeling)[23 10 20 21 14 23 12 23 21 23 23 23 23 12 20 21 23 14 23 21 23 23 23 23 23 23 22 10 23 22 23 23
643     20 21 14 10 23 10 23 23 22 23 14 22 36 23 23 23 10 10 23 0]xS
644     75 2473 M (the interrupt latency compatibility problem.)[12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12 10 23 10 10
645     10 12 21 12 23 14 23 23 10 23 36 0]xS
646     75 2571 M (To implement our solution, we model each IS by an)[26 23 22 10 36 23 10 23 36 23 23 12 22 23 23 14 22 20 23 10 23 12 10 23 23 12 22 29 23 22 36 23
647     23 23 10 23 23 23 21 23 23 12 28 23 23 21 23 23 0]xS
648     75 2619 M (elementary hybrid machine \()[23 10 23 36 23 23 12 23 14 21 15 23 21 23 14 10 23 15 36 23 21 23 10 23 23 15 0]xS
649     F2S2A Ji
650     615 2619 M (EHM)[28 30 0]xS
651     F0S2A Ji
652     708 2619 M (\). An EHM consists of)[14 12 15 28 23 15 28 30 35 16 21 23 23 20 10 20 12 20 16 23 0]xS
653     75 2668 M (several configurations that describe the status of the IS,)[20 23 23 23 14 23 10 14 21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 12 23 23 12 14 23 23 20 21
654     14 10 23 23 14 12 23 23 14 20 12 23 12 23 20 14 23 13 14 12 23 23 14 12 28 0]xS
655     75 2716 M (such as )[20 23 21 23 21 23 20 0]xS
656     F2S2A Ji
657     247 2716 M (Interrupt Not Pending)[11 23 12 23 14 14 23 23 12 21 30 23 12 21 28 23 23 23 9 23 0]xS
658     F0S2A Ji
659     661 2716 M (, )[12 0]xS
660     F2S2A Ji
661     694 2716 M (Interrupt Pending)[11 23 12 23 14 14 23 23 12 22 28 23 23 23 9 23 0]xS
662     F0S2A Ji
663     1023 2716 M (, etc.)[12 22 23 12 21 0]xS
664     75 2765 M (\(Figure )[14 26 10 23 23 14 23 0]xS
665     241 2765 M (3)S
666     264 2765 M (\). Transitions from one configuration to)[14 12 33 33 26 14 23 23 20 10 12 10 23 23 20 33 13 14 23 36 33 23 23 23 34 21 23 23 13 10 23 23
667     14 23 12 10 23 23 34 12 0]xS
668     75 2813 M (another are also specified. We also model the software)[23 23 23 12 23 23 14 13 23 14 23 13 23 10 20 23 14 20 23 23 21 10 13 10 23 23 12 14 14 42 23 14
669     23 10 20 23 14 36 23 23 23 10 14 12 23 23 14 20 23 13 12 29 23 14 0]xS
670     75 2861 M (system \()[20 21 20 12 23 36 20 0]xS
671     F2S2A Ji
672     241 2861 M (SS)[28 0]xS
673     F0S2A Ji
674     297 2861 M (\) as an EHM to reflect that generally only)[14 20 23 20 20 23 23 20 28 30 35 20 12 23 21 14 23 13 10 23 21 12 21 12 23 23 12 21 23 23 23 23
675     14 23 10 10 21 21 23 23 10 0]xS
676     75 2910 M (one ISR may run at a time, and to capture the)[23 23 23 31 12 28 30 32 36 23 21 32 14 23 23 32 23 12 32 23 32 12 10 36 23 12 32 23 23 23 32 12
677     23 32 21 23 23 12 23 14 23 32 12 23 0]xS
678     75 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
679     435 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
680     Pscript_WinNT_Incr begin
681     %%BeginResource: file Pscript_Win_GdiObject 5.0 0
682     /SavedCTM null d/CTMsave{/SavedCTM SavedCTM currentmatrix d}b/CTMrestore
683     {SavedCTM setmatrix}b/mp null d/ADO_mxRot null d/GDIHMatrix null d
684     /GDIHPatternDict 22 dict d GDIHPatternDict `/PatternType 1 d/PaintType 2 d/Reps
685     L2?{1}{5}? d/XStep 8 Reps mul d/YStep XStep d/BBox[0 0 XStep YStep]d/TilingType
686     1 d/PaintProc{` 1 Lw[]0 sd PaintData , exec E}b/FGnd null d/BGnd null d
687     /HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b/HS_BDiagonal
688     {biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep XStep YStep
689     gt{XStep}{YStep}? d/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8 Reps mul + K}b
690     /vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag{Reps{0 0 M
691     MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps mul + 0 YStep
692     M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M MaxXYStep @ neg - 0 8
693     +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E/makehatch{4 -2 $/yOrg ~ d
694     /xOrg ~ d GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix
695     GDIHPatternDict matrix xOrg yOrg + mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0
696     /HS_Horizontal makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal
697     makehatch}b/h3{/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5
698     /HS_DiagCross makehatch}b/GDIBWPatternMx null d/pfprep{save 8 1 $
699     /PatternOfTheDay 8 1 $ GDIBWPatternDict `/yOrg ~ d/xOrg ~ d/PaintData ~ d/yExt
700     ~ d/Width ~ d/BGnd ~ d/FGnd ~ d/Height yExt RepsV mul d/mx[Width 0 0 Height 0
701     0]d E build_pattern ~ !}b/pfbf{/fEOFill ~ d pfprep hbf fEOFill{O}{L}? restore}b
702     /GraphInit{GDIHMatrix null eq{/SavedCTM matrix d : ADO_mxRot concat 0 0 snap +
703     : 0.48 @ GDIHPatternDict ` YStep mul ~ XStep mul ~ nonzero_dsnap YStep V ~
704     XStep V ~ E +S/GDIHMatrix matrix currentmatrix readonly d ; : 0.24 -0.24 +S
705     GDIBWPatternDict ` Width Height E nonzero_dsnap +S/GDIBWPatternMx matrix
706     currentmatrix readonly d ; ;}if}b
707     %%EndResource
708     %%BeginResource: file Pscript_Win_GdiObject_L2 5.0 0
709     /GDIBWPatternDict 25 dict @ `/PatternType 1 d/PaintType 1 d/RepsV 1 d/RepsH 1 d
710     /BBox[0 0 RepsH 1]d/TilingType 1 d/XStep 1 d/YStep 1 d/Height 8 RepsV mul d
711     /Width 8 d/mx[Width 0 0 Height neg 0 Height]d/FGnd null d/BGnd null d
712     /SetBGndFGnd{BGnd null ne{BGnd aload ! scol BBox aload ! 2 ^ sub ~ 3 ^ sub ~
713     rf}if FGnd null ne{FGnd aload ! scol}if}b/PaintProc{` SetBGndFGnd RepsH{Width
714     Height F mx PaintData imagemask Width 0 +}repeat E}b E d/mp/makepattern , d
715     /build_pattern{CTMsave GDIBWPatternMx setmatrix/nupangle where{! nupangle -90
716     eq{nupangle R}if}if GDIBWPatternDict @ ` Width Height ne{Width Height gt{Width
717     Height V 1}{1 Height Width V}? +S}if xOrg yOrg E matrix + mp CTMrestore}b/hbf
718     {setpattern}b/hf{:/fEOFill ~ d ~ ! setpattern fEOFill{O}{L}? ;}b/pbf{: !
719     /fEOFill ~ d GDIBWPatternDict `/yOrg ~ d/xOrg ~ d/PaintData ~ d/OutputBPP ~ d
720     /Height ~ d/Width ~ d/PaintType 1 d/PatternType 1 d/TilingType 1 d/BBox[0 0
721     Width Height]d/XStep Width d/YStep Height d/mx xOrg yOrg matrix + d 20 dict @ `
722     /ImageType 1 d/Width Width d/Height Height d/ImageMatrix[1 0 0 1 0 0]d
723     /BitsPerComponent 8 d OutputBPP 24 eq{/Decode[0 1 0 1 0 1]d}{OutputBPP 8 eq{
724     /Decode[0 1]d}{/Decode[0 1 0 1 0 1 0 1]d}?}?/DataSource{PaintData}d E/ImageDict
725     ~ d/PaintProc{` ImageDict image E}b & mx makepattern setpattern E fEOFill{O}{L}
726     ? ;}b/mask_pbf{:/fEOFill ~ d 20 dict `/yOrg ~ d/xOrg ~ d/PaintData ~ d/Height ~
727     d/Width ~ d/PatternType 1 d/PaintType 2 d/TilingType 1 d/BBox[0 0 Width Height]
728     d/XStep Width d/YStep Height d/mx xOrg yOrg matrix + d/PaintProc{` Width Height
729     T[1 0 0 1 0 0]{PaintData}imagemask E}b & mx makepattern setpattern E fEOFill{O}
730     {L}? ;}b
731     %%EndResource
732     end reinitialize
733     : N 75 2953 600 2 rp C
734     L ; F0S1B Ji
735     75 2991 M (1)S
736     F0S2A Ji
737     90 3012 M ( We believe that computer processors relying on)[12 42 23 12 23 23 10 10 23 23 23 12 12 23 23 12 12 21 23 36 23 23 12 23 14 12 23 14 23 21 23 20
738     20 23 14 20 12 14 23 10 21 10 23 23 12 23 0]xS
739     75 3060 M (hardware interrupts were common no later than 1972.)[23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12 20 12 29 23 14 23 12 21 23 36 36 23 23 12
740     23 23 12 10 23 12 23 14 12 12 23 23 23 12 23 23 23 23 0]xS
741     1275 156 M (interaction between the ISRs and the ISs \(Figure )[10 23 12 23 14 23 21 12 10 23 23 22 23 23 12 29 23 23 23 23 12 23 23 23 12 28 30 20 23 23 23 23
742     23 12 23 23 23 12 28 20 23 14 26 10 23 23 14 23 0]xS
743     2276 156 M (2)S
744     2299 156 M (\).)[14 0]xS
745     1275 204 M (Then, a well-defined parallel composition of all EHMs)[26 23 23 23 12 20 23 20 29 23 10 10 14 23 23 13 10 23 23 23 20 23 23 14 23 10 10 23 10 21 21 23
746     36 23 23 20 10 12 10 23 23 21 23 13 21 23 10 10 21 28 30 35 0]xS
747     1275 252 M (can be used to describe the concurrent operation of)[21 23 23 23 23 23 24 23 20 23 23 24 12 23 24 23 23 20 21 14 10 23 23 24 12 23 23 24 21 23 23 21
748     23 14 14 23 23 12 24 23 23 23 14 23 12 10 23 23 24 23 0]xS
749     1275 300 M (several ISs and ISRs, resulting in a composite hybrid)[20 23 23 23 14 23 10 20 12 28 20 20 23 23 23 20 12 28 30 20 12 20 14 23 20 23 10 12 10 23 23 21
750     10 23 21 23 21 21 23 36 23 23 20 10 12 23 21 23 21 23 14 10 0]xS
751     1275 348 M (machine \()[36 23 21 23 10 23 23 12 0]xS
752     F2S2A Ji
753     1460 348 M (CHM)[30 30 0]xS
754     F0S2A Ji
755     1555 348 M (\).)[14 0]xS
756     1275 447 M (After obtaining a CHM model of the overall system,)[28 13 12 23 14 24 23 23 12 23 10 23 10 23 23 24 23 24 30 30 35 24 36 23 23 23 10 24 23 13 24 12
757     23 23 24 23 23 23 14 23 10 10 25 20 21 20 12 23 36 0]xS
758     1275 495 M (violation of interrupt latency requirements can now be)[23 10 23 10 23 12 10 23 23 19 23 13 19 10 23 12 23 14 14 23 23 12 20 10 23 12 23 23 21 21 20 14
759     23 23 23 10 14 23 36 23 23 12 20 20 21 23 23 20 23 23 29 20 23 0]xS
760     1275 543 M (specified by identifying all illegal configurations.)[20 23 23 21 10 13 10 23 23 44 23 21 45 10 23 23 23 12 10 13 21 10 23 23 45 23 10 10 45 10 10 10
761     23 23 23 10 45 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
762     1275 591 M (Therefore, the question of whether interrupt latency)[26 23 23 14 23 13 23 14 23 12 28 12 23 23 28 23 23 23 20 12 10 23 23 28 23 13 29 29 23 23 12 23
763     23 14 29 10 23 12 23 14 14 23 23 12 29 10 23 12 23 23 21 0]xS
764     1275 639 M (requirements can be violated is equivalent to the)[14 23 23 23 10 14 23 36 23 23 12 20 32 21 23 23 33 23 23 33 23 10 23 10 23 12 23 23 33 10 20 33
765     23 23 23 10 23 23 10 23 23 12 33 12 23 33 12 23 0]xS
766     1275 687 M (question of whether any of the illegal CHM)[23 23 23 20 12 10 23 23 49 23 13 49 29 23 23 12 23 23 14 49 23 23 21 49 23 13 49 12 23 23 50 10
767     10 10 23 23 23 10 50 30 30 0]xS
768     1275 735 M (configurations can be reached from the initial)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 47 21 23 23 47 23 23 47 14 23 23 21 23 23 23 47 13 14
769     23 36 48 12 23 23 48 10 23 10 12 10 23 0]xS
770     1275 783 M (configuration. Verification is now reduced to reachability)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 28 23 14 10 13 10 21 23 12 10 23 23 12 10 20 12
771     23 23 29 12 14 23 23 23 21 23 23 12 12 23 12 14 23 23 21 23 23 23 10 10 10 12 0]xS
772     1275 831 M (analysis.)[23 23 23 10 21 20 10 20 0]xS
773     1275 929 M (Reachability analysis of hybrid systems is a difficult)[30 23 23 21 23 23 23 10 10 10 12 21 25 23 23 23 10 21 20 10 20 26 23 13 26 23 21 23 14 10 23 26
774     20 21 20 12 23 36 20 26 10 20 26 23 26 23 10 13 13 10 21 23 10 0]xS
775     1275 977 M (problem. In this paper, we develop an efficient)[23 14 23 23 10 23 36 12 34 34 12 23 34 12 23 10 20 34 23 23 23 23 14 12 34 29 23 34 23 23 23 23
776     10 23 23 35 23 23 35 23 13 13 10 21 10 23 23 0]xS
777     1275 1025 M (algorithm to determine reachability for a class of hybrid)[23 10 23 23 14 10 12 23 36 15 12 23 15 23 23 12 23 14 36 10 23 23 15 14 23 23 21 23 23 23 10 10
778     10 12 21 15 13 23 14 16 23 16 21 10 23 20 20 16 23 13 16 23 21 23 14 10 0]xS
779     1275 1073 M (systems encountered in the interrupt latency)[20 21 20 12 23 36 20 57 23 23 21 23 23 23 12 23 14 23 23 58 10 23 58 12 23 23 58 10 23 12 23 14
780     14 23 23 12 58 10 23 12 23 23 21 0]xS
781     1275 1121 M (compatibility problem. Our algorithm uses a )[21 23 36 23 23 12 10 23 10 10 10 12 21 30 23 14 23 23 10 23 36 12 30 33 23 14 30 23 10 23 23 14
782     10 12 23 36 30 23 20 23 20 31 23 0]xS
783     F2S2A Ji
784     2208 1121 M (logical)[9 23 23 9 21 23 0]xS
785     F0S2A Ji
786     1275 1170 M (approach by manipulating logical conditions involving)[23 23 23 14 23 23 21 23 23 23 21 23 36 23 23 10 23 23 10 23 12 10 23 23 24 10 23 23 10 21 23 10
787     24 21 23 23 23 10 12 10 23 23 20 24 10 23 23 23 10 23 10 23 0]xS
788     1275 1218 M (the timing of events. We find this logical approach to be)[12 23 23 12 12 10 36 10 23 23 12 23 13 12 23 23 23 23 12 20 12 12 12 42 23 12 13 10 23 23 12 12
789     23 10 20 12 10 23 23 10 21 23 10 12 23 23 23 14 23 23 21 23 12 12 23 13 23 0]xS
790     1275 1266 M (excellent in the specification and implementation of)[23 22 21 23 10 10 23 23 12 28 10 23 28 12 23 23 28 20 23 23 21 10 13 10 21 23 12 10 23 23 28 23
791     23 23 28 10 36 23 10 23 36 23 23 12 23 12 10 23 23 28 23 0]xS
792     1275 1314 M (reachability analysis.)[14 23 23 21 23 23 23 10 10 10 12 21 12 23 23 23 10 21 20 10 20 0]xS
793     1275 1412 M (Using our approach, a necessary and sufficient)[30 20 10 23 23 41 23 23 14 42 23 23 23 14 23 23 21 23 12 42 23 42 23 23 21 23 20 20 23 14 21 42
794     23 23 23 42 20 23 13 13 10 21 10 23 23 0]xS
795     1275 1460 M (condition for meeting the interrupt latency requirements)[21 23 23 23 10 12 10 23 23 15 13 23 14 15 36 23 23 12 10 23 23 15 12 23 23 16 10 23 12 23 14 14
796     23 23 12 16 10 23 12 23 23 21 21 16 14 23 23 23 10 14 23 36 23 23 12 0]xS
797     1275 1508 M (is obtained. The interrupt latency requirements can be)[10 20 16 23 23 12 23 10 23 23 23 12 16 16 26 23 23 16 10 23 12 23 14 14 23 23 12 17 10 23 12 23
798     23 21 21 17 14 23 23 23 10 14 23 36 23 23 12 20 17 21 23 23 17 23 0]xS
799     1275 1556 M (violated )[23 10 23 10 23 12 23 23 0]xS
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810     FB3ADC3EF71B8B08C18BC292C0A908A6F71405606C50754C8B083B8B7DD490C508F72C06
811     C7EA05FB5E0695BB05F77106C7EA05FB9106ADE5BCB9CC8B08C98BAC6F9C74089C768F82
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813     } {
814     [556 0 12 -19 563 710 ]
815     <97F8C00DDBF7240378F70401F774EA01F803EA01F8EAF70401F8BBF9011571B141BE278B
816     08FB278B303173FB32085906642C05DB0676078B828C828B82086206632C05E506A8FB3A
817     EC3EF71B8B08C18BC192B9A908F71407676C54754C8B083B8B6ED483C508F72C06B3EA05
818     FB5E06BB07F77106B3EA05FB91069AE5B2B9CC8B08C98BB26FA17408A07691828F830809
819     0E>
820     } ifelse
821     AddEuroGlyph
822     /Euro /Helvetica-BoldOblique /Helvetica-BoldOblique-Copy BuildNewFont
823     } if
824     F /F3 0 /256 T /Helvetica-BoldOblique mF
825     /F3S2A F3 [42 0 0 -42 0 0 ] mFS
826     F3S2A Ji
827     1441 1556 M (if and only if)[12 14 19 23 26 26 19 26 26 12 23 20 12 0]xS
828     F0S2A Ji
829     1713 1556 M ( some illegal configurations are)[20 20 23 36 23 20 10 10 10 23 23 23 10 20 21 23 23 13 10 23 23 14 23 12 10 23 23 20 20 23 14 0]xS
830     1275 1605 M (reachable from the initial configuration. Therefore,)[14 23 23 21 23 23 23 10 23 29 13 14 23 36 29 12 23 23 30 10 23 10 12 10 23 10 30 21 23 23 13 10
831     23 23 14 23 12 10 23 23 12 30 30 26 23 23 14 23 13 23 14 23 0]xS
832     1275 1653 M (there is no conservatism in our approach. This is)[12 23 23 14 23 27 10 20 27 23 23 27 21 23 23 20 23 14 23 23 12 10 20 36 27 10 23 27 23 23 14 27
833     23 23 23 14 23 23 21 23 12 27 27 26 23 10 20 28 10 0]xS
834     1275 1701 M (important because conservatism may add unnecessary)[10 36 23 23 14 12 23 23 12 17 23 23 21 23 23 20 23 17 21 23 23 20 23 14 23 23 12 10 20 36 17 36
835     23 21 18 23 23 23 18 23 23 23 23 21 23 20 20 23 14 0]xS
836     1275 1749 M (cost to a satisfactory system by misclassifying it as)[21 23 20 12 25 12 23 25 23 25 20 23 12 10 20 13 23 21 12 23 14 21 25 20 21 20 12 23 36 25 23 21
837     26 36 10 20 21 10 23 20 20 10 13 21 10 23 23 26 10 12 26 23 0]xS
838     1275 1797 M (capable of violating its interrupt latency requirements,)[21 23 23 23 23 10 23 21 23 13 21 23 10 23 10 23 12 10 23 23 21 10 12 20 21 10 23 12 23 14 14 23
839     23 12 21 10 23 12 23 23 21 21 21 14 23 23 23 10 14 23 36 23 23 12 20 0]xS
840     1275 1845 M (thus forcing unnecessary increases in product cost.)[12 23 23 20 12 13 23 14 21 10 23 23 12 23 23 23 23 21 23 20 20 23 14 21 12 10 23 21 14 23 23 20
841     23 20 12 10 23 12 23 14 23 23 23 21 12 12 21 23 20 12 0]xS
842     1275 1943 M (We are aware of several proposed approaches to the)[42 23 20 23 14 23 20 23 29 23 14 23 20 23 13 20 20 23 23 23 14 23 10 20 23 14 23 23 23 20 23 23
843     20 23 23 23 14 23 23 21 23 23 20 20 12 23 20 12 23 0]xS
844     1275 1991 M (interrupt latency compatibility problem which have)[10 23 12 23 14 14 23 23 12 35 10 23 12 23 23 21 21 36 21 23 36 23 23 12 10 23 10 10 10 12 21 36
845     23 14 23 23 10 23 36 36 29 23 10 21 23 36 23 23 23 0]xS
846     1275 2039 M (appeared in the literature dating back to at least the)[23 23 23 23 23 14 23 23 22 10 23 22 12 23 23 22 10 10 12 23 14 23 12 23 14 23 22 23 23 12 10 23
847     23 22 23 23 21 21 23 12 23 23 23 12 23 10 23 23 20 12 23 12 23 0]xS
848     1275 2087 M (early 1970s. Among the existing approaches, rate-)[23 23 14 10 21 26 23 23 23 23 20 12 26 27 28 36 23 23 23 27 12 23 23 27 23 22 10 20 12 10 23 23
849     27 23 23 23 14 23 23 21 23 23 20 12 27 14 23 12 23 0]xS
850     1275 2135 M (monotonic analysis \(RMA\) [)[36 23 23 23 12 23 23 10 21 19 23 23 23 10 21 20 10 20 19 14 30 35 28 14 19 0]xS
851     1809 2135 M (5)S
852     1832 2135 M (] is best-known and most)[12 20 10 20 20 23 23 20 12 14 21 23 23 29 23 20 23 23 23 20 36 23 20 0]xS
853     1275 2183 M (widely used. Although RMA is well-developed and has)[29 10 23 23 10 21 16 23 20 23 23 12 16 16 28 10 12 23 23 23 23 23 16 30 35 28 16 10 20 16 29 23
854     10 10 14 23 23 23 23 10 23 23 23 23 17 23 23 23 17 23 23 0]xS
855     1275 2231 M (been used extensively in practice, there are difficulties)[23 23 23 23 17 23 20 23 23 17 23 22 12 23 23 20 10 23 23 10 21 18 10 23 18 23 14 23 21 12 10 21
856     23 12 18 12 23 23 14 23 18 23 14 23 18 23 10 13 13 10 21 23 10 12 10 23 0]xS
857     1275 2279 M (in applying the mathematical results of RMA to the)[10 23 25 23 23 23 10 21 10 23 23 26 12 23 23 26 36 23 12 23 23 36 23 12 10 21 23 10 26 14 23 20
858     23 10 12 20 26 23 13 26 30 35 28 26 12 23 26 12 23 0]xS
859     1275 2327 M (interrupt latency compatibility problem. First, RMA can)[10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 16 21 23 36 23 23 12 10 23 10 10 10 12 21 16
860     23 14 23 23 10 23 36 12 16 16 26 10 14 20 12 12 16 30 35 28 16 21 23 0]xS
861     1275 2375 M (only be used for perfectly periodic \(i.e. rate-monotonic\))[23 23 10 21 16 23 23 16 23 20 23 23 16 13 23 14 17 23 23 14 13 23 21 12 10 21 17 23 23 14 10 23
862     23 10 21 17 14 10 12 23 12 17 14 23 12 23 14 36 23 23 23 12 23 23 10 21 0]xS
863     1275 2423 M (ISs. This is a serious limitation, as most interrupts in)[12 28 20 12 19 19 26 23 10 20 19 10 20 19 23 19 20 23 14 10 23 23 20 19 10 10 36 10 12 23 12 10
864     23 23 12 19 23 20 19 36 23 20 12 19 10 23 12 23 14 14 23 23 12 20 20 10 0]xS
865     1275 2471 M (automotive systems are not periodic. Second, RMA)[23 23 12 23 36 23 12 10 23 23 23 20 21 20 12 23 36 20 24 23 14 23 24 23 23 12 24 23 23 14 10 23
866     23 10 21 12 24 24 28 23 21 23 23 23 12 24 30 35 0]xS
867     1275 2519 M (gives only sufficient conditions for satisfying interrupt)[23 10 23 23 20 23 23 23 10 21 23 20 23 13 13 10 21 10 23 23 12 23 21 23 23 23 10 12 10 23 23 20
868     23 13 23 14 23 20 23 12 10 20 13 21 10 23 23 24 10 23 12 23 14 14 23 23 0]xS
869     1275 2567 M (latency requirements. Therefore, a satisfactory system)[10 23 12 23 23 21 21 16 14 23 23 23 10 14 23 36 23 23 12 20 12 16 17 26 23 23 14 23 13 23 14 23
870     12 17 23 17 20 23 12 10 20 13 23 21 12 23 14 21 17 20 21 20 12 23 0]xS
871     1275 2615 M (may be erroneously classified by RMA as able to violate)[36 23 21 12 23 23 13 23 14 14 23 23 23 23 23 20 10 21 13 21 10 23 20 20 10 13 10 23 23 13 23 21
872     13 30 35 28 13 23 20 13 23 23 10 23 13 12 23 13 23 10 23 10 23 12 0]xS
873     1275 2663 M (its interrupt latency requirements, provoking)[10 12 20 70 10 23 12 23 14 14 23 23 12 70 10 23 12 23 23 21 21 71 14 23 23 23 10 14 23 36 23 23
874     12 20 12 71 23 14 23 23 23 21 10 23 0]xS
875     1275 2711 M (unnecessary cost increases. Finally, RMA can be)[23 23 23 23 21 23 20 20 23 14 21 30 21 23 20 12 30 10 23 21 14 23 23 20 23 20 12 30 30 26 10 23
876     23 10 10 21 12 30 30 35 28 30 21 23 23 30 23 0]xS
877     1275 2759 M (applied only to fixed priority preemptive scheduling.)[23 23 23 10 10 23 23 12 23 23 10 21 12 12 23 12 13 10 22 23 23 12 23 14 10 23 14 10 12 21 12 23
878     14 23 23 36 23 12 10 23 23 12 20 21 23 23 23 23 10 10 23 23 0]xS
879     1275 2857 M (The approach we propose has additional advantages.)[26 23 23 21 23 23 23 14 23 23 21 23 21 29 23 22 23 14 23 23 23 20 23 22 23 23 20 22 23 23 23 10
880     12 10 23 23 23 10 22 23 23 23 23 23 12 23 23 23 20 0]xS
881     1275 2905 M (One advantage is the ability to model the discrete)[33 23 23 28 23 23 23 23 23 12 23 23 23 28 10 20 28 12 23 23 28 23 23 10 10 10 12 21 28 12 23 28
882     36 23 23 23 10 28 12 23 23 28 23 10 20 21 14 23 12 0]xS
883     1275 2953 M (behaviors of a system, which cannot be modeled or)[23 23 23 23 23 10 23 14 20 23 23 13 23 23 24 20 21 20 12 23 36 12 24 29 23 10 21 23 24 21 23 23
884     23 23 12 24 23 23 24 36 23 23 23 10 23 23 24 23 0]xS
885     1275 3001 M (analyzed using RMA or other approaches which rely on)[23 23 23 10 21 21 23 23 15 23 20 10 23 23 15 30 35 28 15 23 14 15 23 12 23 23 14 15 23 23 23 14
886     23 23 21 23 23 20 16 29 23 10 21 23 16 14 23 10 21 16 23 0]xS
887     1275 3049 M (continuous mathematics alone. We have found that we)[21 23 23 12 10 23 23 23 23 20 14 36 23 12 23 23 36 23 12 10 21 20 14 23 10 23 23 23 12 14 14 42
888     23 14 23 23 23 23 14 13 23 23 23 23 14 12 23 23 12 14 29 0]xS
889     LH
890     (%%[Page: 2]%%) =
891     %%PageTrailer
892    
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897     /DeviceRGB dup setcolorspace /colspABC exch def
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900    
901     0 0 0 1 scol 1185 3158 M (3)S
902     75 156 M (can use our approach to model ISRs which vary their)[21 23 23 19 23 20 23 19 23 23 14 19 23 23 23 14 23 23 21 23 19 12 23 19 36 23 23 23 10 20 12 28
903     30 20 20 29 23 10 21 23 20 23 23 14 21 20 12 23 23 10 0]xS
904     75 204 M (execution time in cyclical patterns \(typical of ISRs)[23 22 23 21 23 12 10 23 23 29 12 10 36 23 30 10 23 30 21 21 21 10 10 21 23 10 30 23 23 12 12 23
905     14 23 20 30 14 12 21 23 10 21 23 10 30 23 13 30 12 28 30 0]xS
906     75 252 M (associated with periodic ISs\). We are also able to)[23 20 20 23 21 10 23 12 23 23 25 29 10 12 23 25 23 23 14 10 23 23 10 21 25 12 28 20 14 12 25 26
907     42 23 26 23 14 23 26 23 10 20 23 26 23 23 10 23 26 12 0]xS
908     75 300 M (model queued communication peripherals and the)[36 23 23 23 10 36 23 23 23 23 23 23 36 21 23 36 36 23 23 10 21 23 12 10 23 23 36 23 23 14 10 23
909     23 23 14 23 10 20 36 23 23 23 36 12 23 0]xS
910     75 348 M (associated ISRs, where the amount of ISR execution)[23 20 20 23 21 10 23 12 23 23 22 12 28 30 20 12 22 29 23 23 14 23 22 12 23 23 22 23 36 23 23 23
911     12 22 23 13 22 12 28 30 22 23 22 23 21 23 12 10 23 0]xS
912     75 396 M (time required to retrieve data from the peripheral may)[12 10 36 23 18 14 23 23 23 10 14 23 23 18 12 23 18 14 23 12 14 10 23 23 23 18 23 23 12 23 19 13
913     14 23 36 19 12 23 23 19 23 23 14 10 23 23 23 14 23 10 19 36 23 0]xS
914     75 444 M (increase with increasing interrupt latency. Finally, we)[10 23 21 14 23 23 20 23 20 29 10 12 23 20 10 23 21 14 23 23 20 10 23 23 20 10 23 12 23 14 14 23
915     23 12 20 10 23 12 23 23 21 21 12 21 21 26 10 23 23 10 10 21 12 21 29 0]xS
916     75 492 M (are able to model non-atomic ISRs \(ISRs that may be)[23 14 23 18 23 23 10 23 18 12 23 18 36 23 23 23 10 18 23 23 23 14 23 12 23 36 10 21 18 12 28 30
917     20 18 14 12 28 30 20 18 12 23 23 12 18 36 23 21 19 23 0]xS
918     75 540 M (interrupted\).)[10 23 12 23 14 14 23 23 12 23 23 14 0]xS
919     75 638 M (Since the parallel composition of EHMs and the)[28 10 23 21 23 35 12 23 23 36 23 23 14 23 10 10 23 10 36 21 23 36 23 23 20 10 12 10 23 23 36 23
920     13 36 28 30 35 20 36 23 23 23 36 12 23 0]xS
921     75 686 M (reachability analysis must in practice both be performed)[14 23 23 21 23 23 23 10 10 10 12 21 13 23 23 23 10 21 20 10 20 14 36 23 20 12 14 10 23 14 23 14
922     23 21 12 10 21 23 14 23 23 12 23 14 23 23 14 23 23 14 13 23 14 36 23 0]xS
923     75 734 M (automatically by a computer, we offer some insight into)[23 23 12 23 36 23 12 10 21 23 10 10 21 15 23 21 15 23 15 21 23 36 23 23 12 23 14 12 15 29 23 15
924     23 13 13 23 14 15 20 23 36 23 15 10 23 20 10 23 23 12 15 10 23 12 0]xS
925     75 782 M (the construction and availability of software tools to)[12 23 23 26 21 23 23 20 12 14 23 21 12 10 23 23 26 23 23 23 26 23 23 23 10 10 23 23 10 10 10 12
926     21 26 23 13 26 20 23 13 12 29 23 14 23 27 12 23 23 10 20 27 12 0]xS
927     75 830 M (perform these tasks.)[23 23 14 13 23 14 36 12 12 23 23 20 23 12 12 23 20 21 20 0]xS
928     F1S2A Ji
929     75 1027 M (MATHEMATICS OF HYBRID MACHINES)[35 29 27 30 28 35 29 27 12 30 28 12 33 26 12 30 28 30 30 12 30 12 35 29 30 30 12 30 28 0]xS
930     F0S2A Ji
931     75 1126 M (In this section, we present the hybrid machine model)[12 23 21 12 23 10 20 21 20 23 21 12 10 23 23 12 21 29 23 21 23 14 23 20 23 23 12 21 12 23 23 21
932     23 21 23 14 10 23 22 36 23 21 23 10 23 23 22 36 23 23 23 0]xS
933     75 1174 M (developed in [)[23 23 23 23 10 23 23 23 23 37 10 23 38 0]xS
934     389 1174 M (6)S
935     412 1174 M (] to specify the interrupt latency)[12 38 12 23 38 20 23 23 21 10 13 21 38 12 23 23 38 10 23 12 23 14 14 23 23 12 38 10 23 12 23 23
936     21 0]xS
937     75 1222 M (compatibility problem. Using this model, each process)[21 23 36 23 23 12 10 23 10 10 10 12 21 17 23 14 23 23 10 23 36 12 17 17 30 20 10 23 23 17 12 23
938     10 20 17 36 23 23 23 10 12 17 23 23 21 23 18 23 14 23 21 23 20 0]xS
939     75 1270 M (\(e.g., each SS or IS\) is modeled by an elementary)[14 23 12 23 12 12 25 23 23 21 23 25 28 28 25 23 14 25 12 28 14 25 10 20 25 36 23 23 23 10 23 23
940     26 23 21 26 23 23 26 23 10 23 36 23 23 12 23 14 0]xS
941     75 1318 M (hybrid machine denoted by)[23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 23 23 23 23 12 23 23 12 23 0]xS
942     225 1419 M (EHM = \(Q,)[28 30 35 12 25 12 14 33 0]xS
943    
944     %%IncludeResource: font Symbol
945     F /F4 0 /2 F /Symbol mF
946     /F4S2A F4 [42 0 0 -42 0 0 ] mFS
947     F4S2A Ji
948     426 1419 M (S)S
949     F0S2A Ji
950     452 1419 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
951     F0S1B Ji
952     655 1425 M (0)S
953     F0S2A Ji
954     670 1419 M (, x)[12 12 0]xS
955     F0S1B Ji
956     716 1425 M (0)S
957     F0S2A Ji
958     731 1419 M (\)\).)[14 14 0]xS
959     75 1517 M (The elements of an EHM are)[26 23 23 12 23 10 23 36 23 23 12 20 12 23 13 12 23 23 12 28 30 35 12 23 14 0]xS
960     75 1615 M (1.)[23 0]xS
961     150 1615 M (Q, a finite set of vertices.)[33 12 12 23 12 13 10 23 10 12 23 12 20 23 12 12 23 13 12 23 23 14 12 10 21 23 20 0]xS
962     75 1716 M (2.)[23 0]xS
963     F4S2A Ji
964     150 1716 M (S)S
965     F0S2A Ji
966     176 1716 M (, a finite set of event labels. An event is an input)[12 16 23 16 13 10 23 10 12 23 17 20 23 12 17 23 13 17 23 23 23 23 12 17 10 23 23 23 10 20 12 17
967     28 23 17 23 23 23 23 12 17 10 20 17 23 23 17 10 23 23 23 0]xS
968     150 1767 M (event, denoted by )[23 23 23 23 12 12 12 23 23 23 23 12 23 23 12 23 21 0]xS
969     F4S2A Ji
970     496 1767 M (s)S
971     F0S2A Ji
972     521 1767 M ( \(underscore\), if it is received by)[13 14 23 23 23 23 14 20 21 23 14 23 14 12 13 10 13 13 10 12 13 10 20 13 14 23 21 23 10 23 23 23
973     13 23 0]xS
974     : N 496 1772 24 2 rp C
975     L ; 150 1815 M (the EHM from its environment; and an output event,)[12 23 23 13 28 30 35 13 13 14 23 36 13 10 12 20 13 23 23 23 10 14 23 23 36 23 23 12 12 13 23 23
976     23 13 23 23 13 23 23 12 23 23 12 13 23 23 23 23 12 0]xS
977     150 1866 M (denoted by )[23 23 23 23 12 23 23 21 23 21 0]xS
978     F4S2A Ji
979     386 1866 M (s)S
980     F0S2A Ji
981     411 1866 M (, if it is generated by the EHM and)[12 22 10 13 22 10 12 22 10 20 22 23 23 23 23 14 23 12 23 23 22 23 21 22 12 23 23 22 28 30 35 22
982     23 23 0]xS
983     150 1914 M (transmitted to the environment.)[12 14 23 23 20 36 10 12 12 23 23 12 12 23 12 12 23 23 12 23 23 23 10 14 23 23 36 23 23 12 0]xS
984     F0S1B Ji
985     732 1893 M ( )S
986     740 1893 M (2)S
987     F0S2A Ji
988     75 2015 M (3.)[23 0]xS
989     150 2015 M (D = {d)[30 16 25 16 14 0]xS
990     F0S1B Ji
991     274 2021 M (q )[15 0]xS
992     F0S2A Ji
993     301 2015 M (= \(x)[25 16 14 0]xS
994     F0S1B Ji
995     378 2021 M (q)S
996     F0S2A Ji
997     393 2015 M (, y)[12 17 0]xS
998     F0S1B Ji
999     443 2021 M (q)S
1000     F0S2A Ji
1001     458 2015 M (, u)[12 17 0]xS
1002     F0S1B Ji
1003     510 2021 M (q)S
1004     F0S2A Ji
1005     525 2015 M (, f)[12 17 0]xS
1006     F0S1B Ji
1007     567 2021 M (q)S
1008     F0S2A Ji
1009     582 2015 M (, h)[12 17 0]xS
1010     F0S1B Ji
1011     634 2021 M (q)S
1012     F0S2A Ji
1013     649 2015 M (\): q)[14 12 17 0]xS
1014     F4S2A Ji
1015     715 2015 M <CE>S
1016     F0S2A Ji
1017     744 2015 M (Q}, the dynamics of)[33 14 12 17 12 23 23 17 23 21 23 23 36 10 21 20 17 23 0]xS
1018     150 2063 M (the EHM, where d)[12 23 23 14 28 30 35 12 14 29 23 23 14 23 14 0]xS
1019     F0S1B Ji
1020     490 2069 M (q)S
1021     F0S2A Ji
1022     505 2063 M (, the dynamics at the vertex q, is)[12 14 12 23 23 14 23 21 23 23 36 10 21 20 14 23 12 14 12 23 23 14 23 23 14 12 23 22 14 23 12 14
1023     10 0]xS
1024     150 2111 M (given by:)[23 10 23 23 23 12 23 21 0]xS
1025     225 2209 M (x')[22 0]xS
1026     F0S1B Ji
1027     255 2215 M (q )[15 0]xS
1028     F0S2A Ji
1029     278 2209 M (= f)[25 12 0]xS
1030     F0S1B Ji
1031     328 2215 M (q)S
1032     F0S2A Ji
1033     343 2209 M (\(x)[14 0]xS
1034     F0S1B Ji
1035     379 2215 M (q)S
1036     F0S2A Ji
1037     394 2209 M (, u)[12 12 0]xS
1038     F0S1B Ji
1039     441 2215 M (q)S
1040     F0S2A Ji
1041     456 2209 M (\),)[14 0]xS
1042     225 2307 M (y)S
1043     F0S1B Ji
1044     246 2313 M (q )[15 0]xS
1045     F0S2A Ji
1046     269 2307 M (= h)[25 12 0]xS
1047     F0S1B Ji
1048     329 2313 M (q)S
1049     F0S2A Ji
1050     344 2307 M (\(x)[14 0]xS
1051     F0S1B Ji
1052     380 2313 M (q)S
1053     F0S2A Ji
1054     395 2307 M (, u)[12 12 0]xS
1055     F0S1B Ji
1056     442 2313 M (q)S
1057     F0S2A Ji
1058     457 2307 M (\),)[14 0]xS
1059     150 2405 M (with x)[29 10 12 23 13 0]xS
1060     F0S1B Ji
1061     259 2411 M (q)S
1062     F0S2A Ji
1063     274 2405 M (, u)[12 13 0]xS
1064     F0S1B Ji
1065     322 2411 M (q)S
1066     F0S2A Ji
1067     337 2405 M (, and y)[12 13 23 23 23 13 0]xS
1068     F0S1B Ji
1069     465 2411 M (q)S
1070     F0S2A Ji
1071     480 2405 M (, respectively, the state, input, and)[12 13 14 23 20 23 23 21 12 10 23 23 10 21 12 13 12 23 23 13 20 12 23 12 23 12 13 10 23 23 23 12
1072     12 14 23 23 0]xS
1073     150 2453 M (output variables of appropriate dimensions. For the)[23 23 12 23 23 12 16 23 23 14 10 23 23 10 23 20 16 23 13 16 23 23 23 14 23 23 14 10 23 12 23 17
1074     23 10 36 23 23 20 10 23 23 20 12 17 26 23 14 17 12 23 0]xS
1075     150 2501 M (interrupt latency compatibility problem, we consider)[10 23 12 23 14 14 23 23 12 16 10 23 12 23 23 21 21 16 21 23 36 23 23 12 10 23 10 10 10 12 21 16
1076     23 14 23 23 10 23 36 12 16 29 23 17 21 23 23 20 10 23 23 0]xS
1077     150 2549 M (only x')[23 23 10 21 17 22 0]xS
1078     F0S1B Ji
1079     274 2555 M (q)S
1080     F0S2A Ji
1081     289 2549 M (=)S
1082     F2S2A Ji
1083     314 2549 M (constant)[21 23 23 21 12 23 23 0]xS
1084     /F2S1B F2 [27 0 0 -27 0 0 ] mFS
1085     F2S1B Ji
1086     472 2528 M (3)S
1087     F0S2A Ji
1088     487 2549 M ( and y)[17 23 23 23 17 0]xS
1089     F0S1B Ji
1090     611 2555 M (q)S
1091     F0S2A Ji
1092     626 2549 M (= x)[25 17 0]xS
1093     F0S1B Ji
1094     690 2555 M (q)S
1095     F0S2A Ji
1096     705 2549 M (. Therefore, we need)[12 17 17 26 23 23 14 23 13 23 14 23 12 18 29 23 18 23 23 23 0]xS
1097     150 2598 M (not distinguish the output and state variables. \(A)[23 23 12 20 23 10 20 12 10 23 23 23 10 20 23 20 12 23 23 20 23 23 12 23 23 12 20 23 23 23 21 20
1098     12 23 12 23 21 23 23 14 10 23 23 10 23 20 12 21 21 14 0]xS
1099     150 2646 M (vertex need not have dynamics associated with it,)[23 23 14 12 23 22 16 23 23 23 23 16 16 23 23 12 17 23 23 23 23 17 23 21 23 23 36 10 21 20 17 23
1100     20 20 23 21 10 23 12 23 23 17 29 10 12 23 17 10 12 0]xS
1101     150 2697 M (that is d)[12 23 23 12 18 10 20 18 0]xS
1102     F0S1B Ji
1103     309 2703 M (q )[15 0]xS
1104     F0S2A Ji
1105     338 2697 M (= )[25 0]xS
1106     F4S2A Ji
1107     381 2697 M <C6>S
1108     F0S2A Ji
1109     415 2697 M (, in which case we say the vertex is)[12 18 10 23 19 29 23 10 21 23 19 21 23 20 23 19 29 23 19 20 23 21 19 12 23 23 19 23 23 14 12 23
1110     22 19 10 0]xS
1111     150 2745 M (static.\))[20 12 23 12 10 21 12 0]xS
1112     75 2814 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1113     435 2814 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1114     : N 75 2803 600 2 rp C
1115     L ; F0S1B Ji
1116     75 2841 M (2)S
1117     F0S2A Ji
1118     90 2862 M ( The environment of an EHM includes all other EHMs,)[12 26 23 23 12 23 23 23 10 14 23 23 36 23 23 12 12 23 13 12 23 23 12 28 30 35 12 10 23 21 10 23
1119     23 23 20 12 23 10 10 12 23 12 23 23 14 12 28 30 35 20 0]xS
1120     75 2913 M (hence an event will be denoted )[23 23 23 21 23 12 23 23 12 23 23 23 23 12 12 29 10 10 10 12 23 23 12 23 23 23 23 12 23 23 0]xS
1121     F4S2A Ji
1122     665 2913 M (s)S
1123     F0S2A Ji
1124     690 2913 M ( in the generating EHM)[12 10 23 12 12 23 23 12 23 23 23 23 14 23 12 10 23 23 12 28 30 0]xS
1125     75 2964 M (and )[23 23 23 0]xS
1126     F4S2A Ji
1127     156 2964 M (s)S
1128     F0S2A Ji
1129     181 2964 M ( in the EHM which accepts this event as input.)[12 10 23 12 12 23 23 12 28 30 35 12 29 23 10 21 23 12 23 21 21 23 23 12 20 12 12 23 10 20 12 23
1130     23 23 23 12 12 23 20 12 10 23 23 23 12 0]xS
1131     : N 156 2969 24 2 rp C
1132     L ; F0S1B Ji
1133     75 2991 M (3)S
1134     F0S2A Ji
1135     90 3012 M ( For our models, this constant is usually 1 \(to allow a)[12 26 23 14 12 23 23 14 12 36 23 23 23 10 20 12 12 12 23 10 20 12 21 23 23 20 12 23 23 12 12 10
1136     20 12 23 20 23 23 10 10 21 12 23 12 14 12 23 12 23 10 10 23 29 12 0]xS
1137     75 3060 M (continuous variable to mimic elapsed time\).)[21 23 23 12 10 23 23 23 23 20 12 23 23 14 10 23 23 10 23 12 12 23 12 36 10 36 10 21 12 23 10 23
1138     23 20 23 23 12 12 10 36 23 14 0]xS
1139     1275 159 M (4.)[23 0]xS
1140     1350 159 M (I = {I)[12 22 25 22 14 0]xS
1141     F0S1B Ji
1142     1457 165 M (q )[15 0]xS
1143     F0S2A Ji
1144     1490 159 M (: q)[12 22 0]xS
1145     F4S2A Ji
1146     1547 159 M <CE>S
1147     F0S2A Ji
1148     1576 159 M (Q}, a set of invariants. I)[33 14 12 23 23 23 20 23 12 23 23 13 23 10 23 23 23 14 10 23 23 12 20 12 23 23 0]xS
1149     F0S1B Ji
1150     2092 165 M (q)S
1151     F0S2A Ji
1152     2107 159 M ( represents)[23 14 23 23 14 23 20 23 23 12 0]xS
1153     1350 207 M (conditions under which the EHM is permitted to)[21 23 23 23 10 12 10 23 23 20 26 23 23 23 23 14 26 29 23 10 21 23 26 12 23 23 26 28 30 35 26 10
1154     20 26 23 23 14 36 10 12 12 23 23 27 12 0]xS
1155     1350 255 M (reside at q. Formally, an invariant is a predicate)[14 23 20 10 23 23 20 23 12 20 23 12 20 20 26 23 14 36 23 10 10 21 12 21 23 23 21 10 23 23 23 14
1156     10 23 23 12 21 10 20 21 23 21 23 14 23 23 10 21 23 12 0]xS
1157     1350 303 M (which is defined as a Boolean combination of)[29 23 10 21 23 31 10 20 31 23 23 13 10 23 23 23 31 23 20 31 23 31 28 23 23 10 23 23 23 32 21 23
1158     36 23 10 23 23 12 10 23 23 32 23 0]xS
1159     1350 351 M (inequalities \(called atomic formulas\) of the form)[10 23 23 23 23 23 10 10 12 10 23 20 12 14 21 23 10 10 23 23 12 23 12 23 36 10 21 12 13 23 14 36
1160     23 10 23 20 14 12 23 13 12 12 23 23 12 13 23 14 0]xS
1161     1425 452 M (s)S
1162     F0S1B Ji
1163     1445 458 M (i)S
1164     F4S2A Ji
1165     1451 452 M <B3>S
1166     F0S2A Ji
1167     1474 452 M (C)S
1168     F0S1B Ji
1169     1504 458 M (i)S
1170     F0S2A Ji
1171     1510 452 M ( )S
1172     F2S2A Ji
1173     1522 452 M (or)[23 0]xS
1174     F0S2A Ji
1175     1559 452 M ( s)[12 0]xS
1176     F0S1B Ji
1177     1591 458 M (i)S
1178     F4S2A Ji
1179     1597 452 M <A3>S
1180     F0S2A Ji
1181     1620 452 M (C)S
1182     F0S1B Ji
1183     1650 458 M (i)S
1184     F0S2A Ji
1185     1656 452 M (,)S
1186     1350 551 M (where s)[29 23 23 14 23 13 0]xS
1187     F0S1B Ji
1188     1495 557 M (i)S
1189     F0S2A Ji
1190     1501 551 M ( is a shared continuous real variable \(or )[13 10 20 13 23 13 20 23 23 14 23 23 13 21 23 23 12 10 23 23 23 23 20 13 14 23 23 10 13 23 23 14
1191     10 23 23 10 23 14 14 23 14 0]xS
1192     F2S2A Ji
1193     2257 551 M (SV)[28 0]xS
1194     F0S2A Ji
1195     2313 551 M (,)S
1196     1350 600 M (to be defined soon\), and C)[12 23 12 23 23 12 23 23 13 10 23 23 23 12 20 23 23 23 14 12 12 23 23 23 12 0]xS
1197     F0S1B Ji
1198     1843 606 M (i)S
1199     F0S2A Ji
1200     1849 600 M ( is a real constant.)[12 10 20 12 23 12 14 23 23 10 12 21 23 23 20 12 23 23 12 0]xS
1201     1275 701 M (5.)[23 0]xS
1202     1350 701 M (E)S
1203     1378 701 M ( = {\(q,G)[14 25 14 14 14 23 12 0]xS
1204     F4S2A Ji
1205     1527 701 M <D9>S
1206     1553 701 M (s)S
1207     1578 701 M <AE>S
1208     1619 701 M (s)S
1209     F0S2A Ji
1210     1644 701 M (',q', x)[8 12 23 8 12 14 0]xS
1211     F0S1B Ji
1212     1743 707 M (q')[15 0]xS
1213     1763 680 M (0)S
1214     F0S2A Ji
1215     1778 701 M (\): q, q')[14 12 14 23 12 15 23 0]xS
1216     F4S2A Ji
1217     1899 701 M <CE>S
1218     F0S2A Ji
1219     1928 701 M (Q}, a set of edges or)[33 14 12 15 23 15 20 23 12 15 23 13 15 23 23 23 23 20 15 23 0]xS
1220     : N 1553 706 24 2 rp C
1221     L ; 1350 749 M (transitions, where q is the exited vertex, q' the)[12 14 23 23 20 10 12 10 23 23 20 12 27 29 23 23 14 23 27 23 27 10 20 27 12 23 23 27 23 22 10 12
1222     23 23 28 23 23 14 12 23 22 12 28 23 8 28 12 23 0]xS
1223     1350 800 M (entered vertex, )[23 23 12 23 14 23 23 26 23 23 14 12 23 22 12 0]xS
1224     F4S2A Ji
1225     1672 800 M (s)S
1226     F0S2A Ji
1227     1697 800 M ( the input event, )[26 12 23 23 26 10 23 23 23 12 26 23 23 23 23 12 12 0]xS
1228     F4S2A Ji
1229     2066 800 M (s)S
1230     F0S2A Ji
1231     2091 800 M (' the output)[8 26 12 23 23 26 23 23 12 23 23 0]xS
1232     : N 1672 805 24 2 rp C
1233     L ; 1350 848 M (event, G a predicate having the same form as)[23 23 23 23 12 12 27 33 27 23 27 23 14 23 23 10 21 23 12 23 27 23 23 23 10 23 23 27 12 23 23 27
1234     20 23 36 23 27 13 23 14 36 28 23 0]xS
1235     1350 896 M (invariants I)[10 23 23 23 14 10 23 23 12 20 20 0]xS
1236     F0S1B Ji
1237     1563 902 M (q)S
1238     F0S2A Ji
1239     1578 896 M (, and x)[12 20 23 23 23 20 0]xS
1240     F0S1B Ji
1241     1721 902 M (q')[15 0]xS
1242     1741 875 M (0)S
1243     1756 902 M ( )S
1244     F0S2A Ji
1245     1772 896 M (the initialization value for x)[12 23 23 20 10 23 10 12 10 23 10 10 21 23 12 10 23 23 20 23 23 10 23 23 20 13 23 14 21 0]xS
1246     F0S1B Ji
1247     2305 902 M (q')[15 0]xS
1248     F0S2A Ji
1249     1350 944 M (upon entry to q'. We allow the initialization to take)[23 23 23 23 17 23 23 12 14 21 17 12 23 18 23 8 12 18 42 23 18 23 10 10 23 29 18 12 23 23 18 10
1250     23 10 12 10 23 10 10 21 23 12 10 23 23 18 12 23 18 12 23 21 0]xS
1251     1350 992 M (on one of three forms.)[23 23 12 23 23 23 12 23 13 12 12 23 14 23 23 12 13 23 14 36 20 0]xS
1252     1350 1090 M (\(a\))[14 23 0]xS
1253     1425 1090 M (x)S
1254     F0S1B Ji
1255     1447 1096 M (q')[15 0]xS
1256     1467 1069 M (0)S
1257     F0S2A Ji
1258     1482 1090 M (=)S
1259     F2S2A Ji
1260     1507 1090 M (constant)[21 23 23 21 12 23 23 0]xS
1261     F0S2A Ji
1262     1665 1090 M (;)S
1263     1350 1189 M (\(b\))[14 23 0]xS
1264     1425 1189 M (x)S
1265     F0S1B Ji
1266     1447 1195 M (q')[15 0]xS
1267     1467 1168 M (0)S
1268     F0S2A Ji
1269     1482 1189 M (=g\(x)[25 23 14 0]xS
1270     F0S1B Ji
1271     1566 1195 M (q)S
1272     F0S2A Ji
1273     1581 1189 M (\), that is, x)[14 12 12 12 23 23 12 12 10 20 12 12 0]xS
1274     F0S1B Ji
1275     1777 1195 M (q')[15 0]xS
1276     1797 1168 M (0 )[15 0]xS
1277     F0S2A Ji
1278     1820 1189 M ( is a function of x)[12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 0]xS
1279     F0S1B Ji
1280     2139 1195 M (q)S
1281     F0S2A Ji
1282     2154 1189 M (; or)[12 12 23 0]xS
1283     1350 1287 M (\(c\))[14 21 0]xS
1284     1425 1287 M (x)S
1285     F0S1B Ji
1286     1447 1293 M (q')[15 0]xS
1287     1467 1266 M (0)S
1288     F0S2A Ji
1289     1482 1287 M (=nondet\(v)[25 23 23 23 23 23 12 14 0]xS
1290     F0S1B Ji
1291     1671 1293 M (l)S
1292     F0S2A Ji
1293     1677 1287 M (,v)[12 0]xS
1294     F0S1B Ji
1295     1712 1293 M (u)S
1296     F0S2A Ji
1297     1727 1287 M (\), that is, x)[14 12 29 12 23 23 12 30 10 20 12 30 0]xS
1298     F0S1B Ji
1299     1976 1293 M (q')[15 0]xS
1300     1996 1266 M (0)S
1301     F0S2A Ji
1302     2011 1287 M ( takes a value)[30 12 23 21 23 20 30 23 30 23 23 10 23 0]xS
1303     1425 1335 M (between v)[23 23 12 29 23 23 23 12 0]xS
1304     F0S1B Ji
1305     1616 1341 M (l)S
1306     F0S2A Ji
1307     1622 1335 M ( and v)[12 23 23 23 12 0]xS
1308     F0S1B Ji
1309     1738 1341 M (u)S
1310     F0S2A Ji
1311     1753 1335 M (.)S
1312     F0S1B Ji
1313     1765 1314 M (4)S
1314     F0S2A Ji
1315     1350 1436 M (An edge \(q,G)[28 23 12 23 23 23 23 12 14 23 12 0]xS
1316     F4S2A Ji
1317     1599 1436 M <D9>S
1318     1625 1436 M (s)S
1319     1650 1436 M <AE>S
1320     1691 1436 M (s)S
1321     F0S2A Ji
1322     1716 1436 M (',q', x)[8 12 23 8 12 12 0]xS
1323     F0S1B Ji
1324     1813 1442 M (q')[15 0]xS
1325     1833 1415 M (0)S
1326     F0S2A Ji
1327     1848 1436 M (\) is interpreted as follows:)[14 12 10 20 12 10 23 12 23 14 23 14 23 12 23 23 13 23 20 13 13 23 10 10 23 29 20 0]xS
1328     : N 1625 1441 24 2 rp C
1329     L ; 1350 1487 M (if G is true and the event )[10 13 14 33 15 10 20 15 12 14 23 23 15 23 23 23 15 12 23 23 15 23 23 23 23 12 0]xS
1330     F4S2A Ji
1331     1843 1487 M (s)S
1332     F0S2A Ji
1333     1868 1487 M ( is received as an input,)[15 10 20 15 14 23 21 23 10 23 23 23 15 23 20 15 23 23 15 10 23 23 23 12 0]xS
1334     : N 1843 1492 24 2 rp C
1335     L ; 1350 1535 M (then the transition to q' occurs with the assignment)[12 23 23 23 16 12 23 23 16 12 14 23 23 20 10 12 10 23 23 16 12 23 17 23 8 17 23 21 21 23 14 20
1336     17 29 10 12 23 17 12 23 23 17 23 20 20 10 23 23 36 23 23 0]xS
1337     1350 1583 M (of the initial condition x)[23 13 15 12 23 23 15 10 23 10 12 10 23 10 15 21 23 23 23 10 12 10 23 23 15 0]xS
1338     F0S1B Ji
1339     1792 1589 M (q')[15 0]xS
1340     1812 1562 M (0)S
1341     F0S2A Ji
1342     1827 1583 M (\(t)[14 0]xS
1343     F0S1B Ji
1344     1853 1589 M (0)S
1345     F0S2A Ji
1346     1868 1583 M (\)= x)[14 25 15 0]xS
1347     F0S1B Ji
1348     1944 1589 M (q')[15 0]xS
1349     1964 1562 M (0 )[15 0]xS
1350     F0S2A Ji
1351     1990 1583 M (. Here t)[12 15 16 30 23 14 23 16 0]xS
1352     F0S1B Ji
1353     2151 1589 M (0 )[15 0]xS
1354     F0S2A Ji
1355     2178 1583 M (denotes)[23 23 23 23 12 23 0]xS
1356     1350 1631 M (the time at which the vertex q' is entered. The)[12 23 23 26 12 10 36 23 26 23 12 26 29 23 10 21 23 26 12 23 23 26 23 23 14 12 23 22 26 23 8 26
1357     10 20 26 23 23 12 23 14 23 23 12 26 26 23 0]xS
1358     1350 1682 M (output event )[23 23 12 23 23 12 12 23 23 23 23 12 0]xS
1359     F4S2A Ji
1360     1594 1682 M (s)S
1361     F0S2A Ji
1362     1619 1682 M (' is transmitted at the same time.)[8 12 10 20 12 12 14 23 23 20 36 10 12 12 23 23 12 23 12 12 12 23 23 12 20 23 36 23 12 12 10 36
1363     23 0]xS
1364     1350 1780 M (Although a more general model was presented in)[28 10 12 23 23 23 23 23 21 23 21 36 23 14 23 21 23 23 23 23 14 23 10 21 36 23 23 23 10 21 29 23
1365     20 21 23 14 23 20 23 23 12 23 23 22 10 0]xS
1366     1350 1828 M ([)S
1367     1362 1828 M (6)S
1368     1385 1828 M (], in this paper we assume that when the EHM)[12 12 21 10 23 21 12 23 10 20 22 23 23 23 23 14 22 29 23 22 23 20 20 23 36 23 22 12 23 23 12 22
1369     29 23 23 23 22 12 23 23 22 28 30 0]xS
1370     1350 1885 M (enters vertex q, its invariant I)[23 23 12 23 14 20 21 23 23 14 12 23 22 21 23 12 21 10 12 20 22 10 23 23 23 14 10 23 23 12 22 0]xS
1371     /F0S1F F0 [31 0 0 -31 0 0 ] mFS
1372     F0S1F Ji
1373     1939 1891 M (q)S
1374     F0S2A Ji
1375     1956 1885 M ( must be satisfied.)[22 36 23 20 12 22 23 23 22 20 23 12 10 20 13 10 23 23 0]xS
1376     1350 1938 M (Thus, let us define wp\(q,G)[26 23 23 20 12 26 10 23 12 26 23 20 26 23 23 13 10 23 23 26 29 23 14 23 12 0]xS
1377     F4S2A Ji
1378     1895 1938 M <D9>S
1379     1921 1938 M (s)S
1380     F0S2A Ji
1381     1946 1938 M (,q'\) to the weakest)[12 23 8 14 26 12 23 26 12 23 23 26 29 23 23 21 23 20 0]xS
1382     : N 1921 1943 24 2 rp C
1383     L ; 1350 1989 M (precondition under which the transition \(q,G)[23 14 23 21 23 23 23 10 12 10 23 23 23 23 23 23 23 14 23 29 23 10 21 23 23 12 23 23 24 12 14 23
1384     23 20 10 12 10 23 23 24 14 23 12 0]xS
1385     F4S2A Ji
1386     2217 1989 M <D9>S
1387     2243 1989 M (s)S
1388     F0S2A Ji
1389     2268 1989 M (,q'\))[12 23 8 0]xS
1390     : N 2243 1994 24 2 rp C
1391     L ; 1350 2046 M (will not violate the invariant I)[29 10 10 10 12 23 23 12 12 23 10 23 10 23 12 23 12 12 23 23 12 10 23 23 23 14 10 23 23 12 13 0]xS
1392     F0S1F Ji
1393     1883 2052 M (q)S
1394     F0S2A Ji
1395     1900 2046 M ( upon entry to q. Since)[13 23 23 23 23 13 23 23 12 14 21 13 12 23 13 23 12 13 28 10 23 21 0]xS
1396     1350 2105 M (some of variables that appear in I)[20 23 36 23 14 23 13 14 23 23 14 10 23 23 10 23 20 14 12 23 23 12 15 23 23 23 23 23 14 15 10 23
1397     15 0]xS
1398     F0S1F Ji
1399     1988 2111 M (q)S
1400     F0S2A Ji
1401     2005 2105 M ( are possibly \(re-)[15 23 14 23 15 23 23 20 20 10 23 10 21 15 14 14 23 0]xS
1402     1350 2155 M (\)initialized upon entering q, the condition)[14 10 23 10 12 10 23 10 10 21 23 23 56 23 23 23 23 56 23 23 12 23 14 10 23 23 56 23 12 57 12 23
1403     23 57 21 23 23 23 10 12 10 23 0]xS
1404     1350 2212 M (wp\(q,G)[29 23 14 23 12 0]xS
1405     F4S2A Ji
1406     1484 2212 M <D9>S
1407     1510 2212 M (s)S
1408     F0S2A Ji
1409     1535 2212 M (,q'\) can be calculated from I)[12 23 8 14 45 21 23 23 45 23 23 45 21 23 10 21 23 10 23 12 23 23 45 13 14 23 36 46 0]xS
1410     F0S1F Ji
1411     2218 2218 M (q)S
1412     F0S2A Ji
1413     2235 2212 M ( by)[46 23 0]xS
1414     : N 1510 2217 24 2 rp C
1415     L ; 1350 2271 M (substituting into I)[20 23 23 20 12 10 12 23 12 10 23 23 27 10 23 12 23 27 0]xS
1416     F0S1F Ji
1417     1695 2277 M (q)S
1418     F0S2A Ji
1419     1712 2271 M ( the appropriate initial values.)[28 12 23 23 28 23 23 23 14 23 23 14 10 23 12 23 28 10 23 10 12 10 23 10 28 23 23 10 23 23 20 0]xS
1420     1350 2321 M (That is, if x)[26 23 23 12 12 10 20 12 12 10 13 12 0]xS
1421     F0S1B Ji
1422     1557 2327 M (q')[15 0]xS
1423     F0S2A Ji
1424     1577 2321 M ( is \(re)[12 10 20 12 14 14 0]xS
1425     1682 2321 M (-\)initialized to x)[14 14 10 23 10 12 10 23 10 10 21 23 23 12 12 23 12 0]xS
1426     F0S1B Ji
1427     1966 2327 M (q')[15 0]xS
1428     1986 2300 M (0)S
1429     F0S2A Ji
1430     2001 2321 M (, then)[12 12 12 23 23 0]xS
1431     1425 2428 M (wp\(q,G)[29 23 14 23 12 0]xS
1432     F4S2A Ji
1433     1559 2428 M <D9>S
1434     1585 2428 M (s)S
1435     F0S2A Ji
1436     1610 2428 M (,q'\)= I)[12 23 8 14 25 12 0]xS
1437     F0S1F Ji
1438     1716 2434 M (q)S
1439     F0S2A Ji
1440     1733 2428 M (| )[11 0]xS
1441    
1442     %%IncludeResource: font Times-Roman
1443     7500 VM?
1444     /Times-Roman FontHasEuro not
1445     {
1446     /Euro.Times-Roman
1447     [500 0 24 -14 493 676 ]
1448     <A3F8880DC0EB03F854F743950C0C037DA501F7A0BB01F805BB01F91EA501F869F8911584
1449     F73A0576068478827E7F8B087F8B70AC438B082A8BFB0D6471FB700863067C5B05BE068A
1450     7E8B878B7D08750764067D5B05C206A0FB7BF71858E88B088F0AC0EB03F84BF789950C0C
1451     037DA501F7A0BB01F805BB01F91EA501CA8BACAC998B08988B95809076088F0AC0EB03F8
1452     54F743950C0C037DA501F7A0BB01F805BB01F91EA501A00692F73705750675FB09417667
1453     8B083A8B43C182F75E08F7740699BB05FB84069C078B978C978B9708F7950699BB05FBA1
1454     069AF755D5B3D18B08AB8BDD71A2FB0708090E>
1455     AddEuroGlyph
1456     /Euro /Times-Roman /Times-Roman-Copy BuildNewFont
1457     } if
1458     F /F5 0 /256 T /Times-Roman mF
1459     /F5S1F F5 [31 0 0 -31 0 0 ] mFS
1460     F5S1F Ji
1461     1756 2434 M (xq'= xq'0)[15 15 5 17 8 15 15 5 0]xS
1462     F0S2A Ji
1463     1867 2428 M (.)S
1464     : N 1585 2433 24 2 rp C
1465     L ; 1350 2529 M (Since we allow nondeterministic \(re-\)initialization,)[28 10 23 21 23 26 29 23 26 23 10 10 23 29 27 23 23 23 23 23 12 23 14 36 10 23 10 20 12 10 21 27
1466     14 14 23 14 14 10 23 10 12 10 23 10 10 21 23 12 10 23 23 0]xS
1467     1350 2580 M (care must be taken when we calculate wp\(q,G)[21 23 14 23 12 36 23 20 12 12 23 23 12 12 23 21 23 23 12 29 23 23 23 12 29 23 12 21 23 10 21 23
1468     10 23 12 23 13 29 23 14 23 12 0]xS
1469     F4S2A Ji
1470     2205 2580 M <D9>S
1471     2231 2580 M (s)S
1472     F0S2A Ji
1473     2256 2580 M (,q'\).)[12 23 8 14 0]xS
1474     : N 2231 2585 24 2 rp C
1475     L ; 1350 2637 M (For instance, if I)[26 23 14 12 10 23 20 12 23 23 21 23 12 12 10 13 12 0]xS
1476     F0S1B Ji
1477     1651 2643 M (q)S
1478     F0S2A Ji
1479     1666 2637 M (=[s)[25 12 0]xS
1480     F0S1B Ji
1481     1723 2643 M (i)S
1482     F0S2A Ji
1483     1729 2637 M ( )S
1484     F4S2A Ji
1485     1741 2637 M <B3>S
1486     F0S2A Ji
1487     1764 2637 M ( C)[12 0]xS
1488     F0S1B Ji
1489     1806 2643 M (i)S
1490     F0S2A Ji
1491     1812 2637 M (] and s)[12 12 23 23 23 12 0]xS
1492     F0S1F Ji
1493     1937 2643 M (i)S
1494     1944 2612 M (o)S
1495     F0S2A Ji
1496     1960 2637 M (=nondet\(k)[25 23 23 23 23 23 12 14 0]xS
1497     F0S1B Ji
1498     2147 2643 M (l)S
1499     F0S2A Ji
1500     2153 2637 M (,k)[12 0]xS
1501     F0S1B Ji
1502     2186 2643 M (u)S
1503     F0S2A Ji
1504     2201 2637 M (\), then)[14 12 12 12 23 23 0]xS
1505     1275 2867 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1506     1635 2867 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1507     : N 1275 2856 600 2 rp C
1508     L ; F0S1B Ji
1509     1275 2894 M (4)S
1510     F0S2A Ji
1511     1290 2915 M ( )S
1512     F2S2A Ji
1513     1302 2915 M (nondet)[23 23 23 23 23 0]xS
1514     F0S2A Ji
1515     1429 2915 M (\(v)[14 0]xS
1516     F0S1B Ji
1517     1466 2921 M (l)S
1518     F0S2A Ji
1519     1472 2915 M (, v)[12 12 0]xS
1520     F0S1B Ji
1521     1519 2921 M (u)S
1522     F0S2A Ji
1523     1534 2915 M (\) does not imply a probability distribution,)[14 12 23 23 23 20 12 23 23 12 12 10 36 23 10 21 12 23 12 23 14 23 23 23 23 10 10 10 12 21 12 23
1524     10 20 12 14 10 23 23 12 10 23 23 0]xS
1525     1275 2964 M (it denotes that the value assigned has some uncertainty)[10 12 12 23 23 23 23 12 23 20 12 12 23 23 12 12 12 23 23 12 23 23 10 23 23 12 23 20 20 10 23 23
1526     23 23 12 23 23 20 12 20 23 36 23 12 23 23 21 23 14 12 23 10 23 12 0]xS
1527     1275 3012 M (but will be in [v)[23 23 12 12 29 10 10 10 12 23 23 12 10 23 12 12 0]xS
1528     F0S1B Ji
1529     1554 3018 M (l)S
1530     F0S2A Ji
1531     1560 3012 M (, v)[12 12 0]xS
1532     F0S1B Ji
1533     1607 3018 M (u)S
1534     F0S2A Ji
1535     1622 3012 M (]. The reachability algorithm we have)[12 12 12 12 26 23 23 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10 12 23 36 12 29
1536     23 12 23 23 23 0]xS
1537     1275 3060 M (developed correctly treats such assignments.)[23 23 23 23 10 23 23 23 23 12 21 23 14 14 23 21 12 10 21 12 12 14 23 23 12 20 12 20 23 21 23 12
1538     23 20 20 10 23 23 36 23 23 12 20 0]xS
1539     LH
1540     (%%[Page: 3]%%) =
1541     %%PageTrailer
1542    
1543     %%Page: 4 4
1544     %%PageBoundingBox: 18 8 593 784
1545     %%EndPageComments
1546     %%BeginPageSetup
1547     /DeviceRGB dup setcolorspace /colspABC exch def
1548     mysetup concat colspRefresh
1549     %%EndPageSetup
1550    
1551     0 0 0 1 scol 1185 3158 M (4)S
1552     0 Lj 2 Lc 16 Lw solid N 370 217 M 401 217 I : 0.129 0.129 +S K
1553     ;
1554     %%IncludeResource: font Times-Italic
1555     7500 VM?
1556     /Times-Italic FontHasEuro not
1557     {
1558     /Euro.Times-Italic
1559     [500 0 23 -7 578 676 ]
1560     <A2F8880DDBDB03F7F8A003F88D9D0384A701F79DBB01F802BB01F91CA7018F0ADBDB03F7
1561     F8A003F88D9D0384A701F79DBB01F802BB01F89CF71301F8BFF93315770680758A89818B
1562     08848B79947592088F0ADBDB03F7F8A003F88D9D0384A701F79DBB01F802BB01F91CA701
1563     75916F926D8B08FB0E8B27FB0A5BFB24084606735B05D6068879857A8A79084A06745B05
1564     DD068A7D8A7C8B7C08FB01B3FB0BF7101EA28BA4919E94089D94948F928B08928B8D858D
1565     7508A006B0F72205780679674E3D438B08477BD1D11F8BB290B28FA508F76306A2BB05FB
1566     71068D9D929C8F9D08F77E06A3BB05FB88069FDEC8F72BEC8B08D9B757461F84078F0ADB
1567     DB03F7F8A003F88D9D0384A701F79DBB01F802BB01F89CF713019D06090E>
1568     AddEuroGlyph
1569     /Euro /Times-Italic /Times-Italic-Copy BuildNewFont
1570     } if
1571     F /F6 0 /256 T /Times-Italic mF
1572     /F6S31 F6 [49.945 0 0 -49.945 0 0 ] mFS
1573     F6S31 Ji
1574     158 209 M (wp)[34 0]xS
1575     236 209 M (q)S
1576     280 209 M (G)S
1577     421 209 M (q)S
1578     593 167 M (true)[14 19 25 0]xS
1579     744 167 M (if)[14 0]xS
1580     797 167 M (k)S
1581     890 167 M (C)S
1582     603 242 M (false)[14 25 14 19 0]xS
1583     744 242 M (otherwise)[25 14 25 22 19 34 14 19 0]xS
1584     /F6S1D F6 [29.133 0 0 -29.133 0 0 ] mFS
1585     F6S1D Ji
1586     821 180 M (l)S
1587     922 180 M (i)S
1588     /F5S31 F5 [49.945 0 0 -49.945 0 0 ] mFS
1589     F5S31 Ji
1590     217 209 M (\()S
1591     261 209 M (,)S
1592     402 209 M (,)S
1593     447 209 M (')S
1594     463 209 M (\))S
1595     /F4S31 F4 [49.945 0 0 -49.945 0 0 ] mFS
1596     F4S31 Ji
1597     328 209 M <D9>S
1598     492 209 M (=)S
1599     849 167 M <B3>S
1600     27605 VM?
1601     Pscript_WinNT_Incr begin
1602     %%BeginResource: file Pscript_T3Hdr 5.0 0
1603     {version cvi 2016 ge{32/FontType resourcestatus{pop pop true}{false}ifelse}
1604     {false}ifelse}exec/Is2016andT32? exch def/T32DefSBCMap{/CIDInit/ProcSet
1605     findresource begin 10 dict begin begincmap/CIDSystemInfo 3 dict dup begin
1606     /Registry(Adobe)def/Ordering(Identity1)def/Supplement 0 def end def/CMapType 0
1607     def/WMode 0 def 1 begincodespacerange<00><ff>endcodespacerange 1 begincidrange
1608     <00><ff>0 endcidrange endcmap/DrvSBCMap currentdict/CMap defineresource pop end
1609     end}bind def Is2016andT32?{T32DefSBCMap}def/T32RsrcBegin{Is2016andT32?{
1610     /BitmapFontInit/ProcSet findresource begin}if}bind def/T32RsrcEnd{Is2016andT32?
1611     {end}if}bind def/AddT32Char{6 1 roll 0 get 7 1 roll pop pop 5 1 roll pop
1612     findfont/TT32R get addglyph}bind def/AddT3Char{findfont dup 5 2 roll 1 index
1613     length 0 gt{cvx 1 index exch 4 exch put dup(imagemask)cvx cvn 5 exch put cvx}
1614     {pop cvx}ifelse 3 -1 roll/CharProcs get 3 1 roll put dup/Encoding get 5 -1 roll
1615     4 index put/Metrics get 3 1 roll put}bind def/AddT3T32Char Is2016andT32?{
1616     /AddT32Char}{/AddT3Char}ifelse load def/GreNewFontT32{5 dict begin exch
1617     /FontMatrix exch def exch/FontBBox exch def exch pop exch pop/CIDFontType 4 def
1618     dup currentdict end/CIDFont defineresource 3 -1 roll dup/DrvSBCMap dup/CMap
1619     resourcestatus{pop pop}{T32DefSBCMap}ifelse 5 -1 roll[exch]composefont dup
1620     length dict copy dup/FID undef begin exch/TT32R exch def currentdict end
1621     definefont/BitmapFontInit/ProcSet findresource begin/TT32R get[14 0 0 0 0 0]<>0
1622     4 -1 roll addglyph end}bind def/GreNewFontT3{11 dict begin pop/FontType 3 def
1623     /FontMatrix exch def/FontBBox exch def/Encoding exch def/CharProcs 257 dict def
1624     CharProcs/.notdef{}put/Metrics 257 dict def Metrics/.notdef 3 -1 roll put
1625     /BuildChar{userdict begin/char exch def dup/charname exch/Encoding get char get
1626     def dup/Metrics get charname 2 copy known{get aload pop}{pop/.notdef get aload
1627     pop}ifelse setcachedevice begin Encoding char get CharProcs exch 2 copy known
1628     {get}{pop/.notdef get}ifelse end exec end}def currentdict end definefont pop}
1629     bind def/GreNewFont{Is2016andT32?{GreNewFontT32}{GreNewFontT3}ifelse}bind def
1630     /UDF3{Is2016andT32?{/BitmapFontInit/ProcSet findresource begin dup/CIDFont
1631     findresource removeall/CIDFont undefineresource undefinefont end}{pop UDF}
1632     ifelse}bind def
1633     %%EndResource
1634     end reinitialize
1635     /TT1AAb00
1636     [49 0 0 0 0 0 ]
1637     256 array 0 1 255 {1 index exch /.notdef put} for
1638     [0 0 0 0 ]
1639     [1 49 div 0 0 -1 49 div 0 0 ]
1640     /__TT1AAb00
1641     GreNewFont
1642     T32RsrcBegin
1643    
1644     1
1645     /Gec [25 0 10 -46 22 4 ]
1646     /Gec [12 50 true [1 0 0 1 -10 46 ] 0 0]
1647     [<~!,r%U#65_D(]Z5iDua8G?i[tB^];.M^];.M^];.M^];.M^];.M^];.M^];.M
1648     ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
1649     ^];.M~>
1650     ]
1651     /TT1AAb00 AddT3T32Char
1652     T32RsrcEnd
1653     F /F7 0 /0 F /TT1AAb00 mF
1654     /F7S32 F7 [50 0 0 -50 0 0 ] mFS
1655     F7S32 Ji
1656     568 172 M <01>S
1657     605 VM?
1658     T32RsrcBegin
1659    
1660     2
1661     /Ged [25 0 0 -46 12 4 ]
1662     /Ged [12 50 true [1 0 0 1 0 46 ] 0 0]
1663     [<~!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,!&+Cl!+5e7!8mjm!Peef%KJTk
1664     huM[849,ll"+UEf!5JTm!+5e7!,qol!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,
1665     !&+C,~>
1666     ]
1667     /TT1AAb00 AddT3T32Char
1668     T32RsrcEnd
1669     568 214 M <02>S
1670     605 VM?
1671     T32RsrcBegin
1672    
1673     3
1674     /Gee [25 0 10 -46 22 4 ]
1675     /Gee [12 50 true [1 0 0 1 -10 46 ] 0 0]
1676     [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
1677     ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.MhuI-b?iY-G0E;pi)up3D
1678     "2FnU~>
1679     ]
1680     /TT1AAb00 AddT3T32Char
1681     T32RsrcEnd
1682     568 256 M <03>S
1683     /F4S31I0FY00 F4 [49.945 0 15.438 -49.945 0 0 ] mFS
1684     F4S31I0FY00 Ji
1685     366 209 M (s)S
1686     F0S2A Ji
1687     150 363 M (This is because if k)[26 23 10 20 12 10 20 12 23 23 21 23 23 20 23 12 10 13 12 0]xS
1688     F0S1B Ji
1689     507 369 M (l)S
1690     F4S2A Ji
1691     513 363 M <B3>S
1692     F0S2A Ji
1693     536 363 M (C)S
1694     F0S1B Ji
1695     566 369 M (i)S
1696     F0S2A Ji
1697     572 363 M (, then in the worst case [s)[12 12 12 23 23 23 12 10 23 12 12 23 23 13 29 23 14 20 12 13 21 23 20 23 13 12 0]xS
1698     F0S1B Ji
1699     1048 369 M (i)S
1700     F4S2A Ji
1701     1054 363 M <B3>S
1702     F0S2A Ji
1703     1077 363 M (C)S
1704     F0S1B Ji
1705     1107 369 M (i)S
1706     F0S2A Ji
1707     1113 363 M (])S
1708     150 414 M (is true, so that the transition \(q, G)[10 20 21 12 14 23 23 12 21 20 23 21 12 23 23 12 21 12 23 23 21 12 14 23 23 20 10 12 10 23 23 21
1709     14 23 12 21 0]xS
1710     F4S2A Ji
1711     834 414 M <D9>S
1712     860 414 M (s)S
1713     F0S2A Ji
1714     885 414 M (, q\222\) will not)[12 21 23 9 14 22 29 10 10 10 22 23 23 0]xS
1715     150 462 M (violate the invariant I)[23 10 23 10 23 12 23 15 12 23 23 15 10 23 23 23 14 10 23 23 12 15 0]xS
1716     F0S1B Ji
1717     550 468 M (q)S
1718     F0S2A Ji
1719     565 462 M (\222. If the weakest precondition)[9 12 15 15 12 13 15 12 23 23 16 29 23 23 21 23 20 12 16 23 14 23 21 23 23 23 10 12 10 23 0]xS
1720     150 510 M (is not satisfied, that is, G does not imply)[10 20 41 23 23 12 41 20 23 12 10 20 13 10 23 23 12 41 12 23 23 12 41 10 20 12 41 33 41 23 23 23
1721     20 41 23 23 12 42 10 36 23 10 0]xS
1722     150 561 M (wp\(q,G)[29 23 14 23 12 0]xS
1723     F4S2A Ji
1724     284 561 M <D9>S
1725     310 561 M (s)S
1726     F0S2A Ji
1727     335 561 M (,q'\), then we will replace \(q,G)[12 23 8 14 12 26 12 23 23 23 26 29 23 26 29 10 10 10 26 14 23 23 10 23 21 23 26 14 23 12 0]xS
1728     F4S2A Ji
1729     945 561 M <D9>S
1730     971 561 M (s)S
1731     : N 310 566 24 2 rp C
1732     L ; 996 561 M <AE>S
1733     1037 561 M (s)S
1734     F0S2A Ji
1735     1062 561 M (',q',)[8 12 23 8 0]xS
1736     : N 971 566 24 2 rp C
1737     L ; 150 612 M (x)S
1738     F0S1B Ji
1739     172 618 M (q')[15 0]xS
1740     192 591 M (0)S
1741     F0S2A Ji
1742     207 612 M (\) by \(q, wp\(q,G)[14 12 23 21 12 14 23 12 12 29 23 14 23 12 0]xS
1743     F4S2A Ji
1744     484 612 M <D9>S
1745     510 612 M (s)S
1746     F0S2A Ji
1747     535 612 M (,q'\) )[12 23 8 14 0]xS
1748     F4S2A Ji
1749     604 612 M <D9>S
1750     F0S2A Ji
1751     630 612 M (G)S
1752     F4S2A Ji
1753     663 612 M <D9>S
1754     689 612 M (s)S
1755     : N 510 617 24 2 rp C
1756     L ; 714 612 M <AE>S
1757     755 612 M (s)S
1758     F0S2A Ji
1759     780 612 M (',q', x)[8 12 23 8 12 12 0]xS
1760     F0S1B Ji
1761     877 618 M (q')[15 0]xS
1762     897 591 M (0)S
1763     F0S2A Ji
1764     912 612 M (\).)[14 0]xS
1765     : N 689 617 24 2 rp C
1766     L ; 150 713 M (If )[12 13 0]xS
1767     F4S2A Ji
1768     187 713 M (s)S
1769     F0S2A Ji
1770     212 713 M (' is absent, then no output event is transmitted. If)[8 13 10 20 13 23 23 20 23 23 12 12 13 12 23 23 23 13 23 23 13 23 23 12 23 23 12 13 23 23 23 23
1771     12 13 10 20 13 12 14 23 23 20 36 10 12 12 23 23 12 13 12 0]xS
1772     150 761 M (x)S
1773     F0S1B Ji
1774     172 767 M (q')[15 0]xS
1775     192 740 M (0 )[15 0]xS
1776     F0S2A Ji
1777     216 761 M (is absent, then the initial condition is inherited or)[10 20 13 23 23 20 23 23 12 12 13 12 23 23 23 14 12 23 23 14 10 23 10 12 10 23 10 14 21 23 23 23
1778     10 12 10 23 23 14 10 20 14 10 23 23 23 14 10 12 23 23 14 23 0]xS
1779     150 809 M (partially inherited from x)[23 23 14 12 10 23 10 10 21 23 10 23 23 23 14 10 12 23 23 23 13 14 23 36 23 0]xS
1780     F0S1B Ji
1781     634 815 M (q )[15 0]xS
1782     F0S2A Ji
1783     668 809 M (\(assuming the inherited)[14 23 20 20 23 36 10 23 23 23 12 23 23 23 10 23 23 23 14 10 12 23 0]xS
1784     150 857 M (states)[20 12 23 12 23 0]xS
1785     F0S1B Ji
1786     260 836 M ( )S
1787     F0S2A Ji
1788     268 857 M (represent the same physical object and hence)[14 23 23 14 23 20 23 23 12 12 12 23 23 13 20 23 36 23 13 23 23 21 20 10 21 23 10 13 23 23 10 23
1789     21 12 13 23 23 23 13 23 23 23 21 0]xS
1790     150 908 M (are of the same dimension\). If )[23 14 23 14 23 13 14 12 23 23 14 20 23 36 23 15 23 10 36 23 23 20 10 23 23 14 12 15 12 13 0]xS
1791     F4S2A Ji
1792     735 908 M (s)S
1793     F0S2A Ji
1794     760 908 M ( is absent, then the)[15 10 20 15 23 23 20 23 23 12 12 15 12 23 23 23 15 12 23 0]xS
1795     : N 735 913 24 2 rp C
1796     L ; 150 956 M (transition takes place immediately upon G becoming)[12 14 23 23 20 10 12 10 23 23 12 12 23 21 23 20 12 23 10 23 21 23 12 10 36 36 23 23 10 23 12 23
1797     10 21 12 23 23 23 23 12 33 12 23 23 21 23 36 10 23 0]xS
1798     150 1004 M (true. Such transitions will be called )[12 14 23 23 12 33 33 28 23 21 23 34 12 14 23 23 20 10 12 10 23 23 20 34 29 10 10 10 34 23 23 34
1799     21 23 10 10 23 23 0]xS
1800     F2S2A Ji
1801     970 1004 M (dynamic)[23 21 23 23 35 9 0]xS
1802     F0S2A Ji
1803     150 1053 M (transitions. If G is absent, the guard is always true)[12 14 23 23 20 10 12 10 23 23 20 12 15 15 12 13 15 33 16 10 20 16 23 23 20 23 23 12 12 16 12 23
1804     23 16 23 23 23 14 23 16 10 20 16 23 10 29 23 21 20 16 12 14 23 0]xS
1805     150 1101 M (and the transition will be triggered by the input event)[23 23 23 12 12 23 23 12 12 14 23 23 20 10 12 10 23 23 12 29 10 10 10 12 23 23 12 12 14 10 23 23
1806     23 14 23 23 12 23 21 13 12 23 23 13 10 23 23 23 12 13 23 23 23 23 0]xS
1807     F4S2A Ji
1808     150 1152 M (s)S
1809     F0S2A Ji
1810     175 1152 M (. Such transitions will be called )[12 12 12 28 23 21 23 12 12 14 23 23 20 10 12 10 23 23 20 12 29 10 10 10 12 23 23 12 21 23 10 10
1811     23 23 0]xS
1812     F2S2A Ji
1813     771 1152 M (event)[23 21 23 23 0]xS
1814     F0S2A Ji
1815     873 1152 M ( transitions.)[12 12 14 23 23 20 10 12 10 23 23 20 0]xS
1816     : N 150 1157 24 2 rp C
1817     L ; 150 1251 M (Although our EHM model allows guarded event)[28 10 12 23 23 23 23 23 28 23 23 14 28 28 30 35 28 36 23 23 23 10 29 23 10 10 23 29 20 29 23 23
1818     23 14 23 23 23 29 23 23 23 23 0]xS
1819     150 1302 M (transitions with both G and )[12 14 23 23 20 10 12 10 23 23 20 18 29 10 12 23 18 23 23 12 23 18 33 18 23 23 23 0]xS
1820     F4S2A Ji
1821     687 1302 M (s)S
1822     F0S2A Ji
1823     712 1302 M (, such transitions can)[12 19 20 23 21 23 19 12 14 23 23 20 10 12 10 23 23 20 19 21 23 0]xS
1824     : N 687 1307 24 2 rp C
1825     L ; 150 1350 M (be decomposed into event transitions and dynamic)[23 23 17 23 23 21 23 36 23 23 20 23 23 17 10 23 12 23 17 23 23 23 23 12 17 12 14 23 23 20 10 12
1826     10 23 23 20 17 23 23 23 18 23 21 23 23 36 10 0]xS
1827     150 1398 M (transitions as shown in Figure )[12 14 23 23 20 10 12 10 23 23 20 12 23 20 12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
1828     713 1398 M (1)S
1829     736 1398 M (.)S
1830     /F5S31 F5 [49.961 0 0 -49.961 0 0 ] mFS
1831     F5S31 Ji
1832     213 1582 M ( )S
1833     225 1582 M (q)S
1834     250 1582 M ( )S
1835     263 1582 M ( )S
1836     275 1582 M ( )S
1837     288 1582 M ( )S
1838     300 1582 M ( )S
1839     313 1582 M ( )S
1840     325 1582 M ( )S
1841     338 1582 M ( )S
1842     350 1582 M ( )S
1843     363 1582 M ( )S
1844     375 1582 M (q)S
1845     400 1582 M <92>S
1846     417 1582 M ( )S
1847     429 1582 M ( )S
1848     442 1582 M (<)S
1849     471 1582 M (=)S
1850     500 1582 M (>)S
1851     529 1582 M ( )S
1852     542 1582 M (q)S
1853     567 1582 M (1)S
1854     592 1582 M ( )S
1855     604 1582 M ( )S
1856     617 1582 M ( )S
1857     629 1582 M ( )S
1858     642 1582 M ( )S
1859     654 1582 M ( )S
1860     667 1582 M ( )S
1861     679 1582 M ( )S
1862     692 1582 M ( )S
1863     704 1582 M ( )S
1864     717 1582 M (q)S
1865     742 1582 M (2)S
1866     767 1582 M ( )S
1867     779 1582 M ( )S
1868     792 1582 M ( )S
1869     804 1582 M ( )S
1870     817 1582 M ( )S
1871     829 1582 M ( )S
1872     842 1582 M ( )S
1873     854 1582 M ( )S
1874     867 1582 M ( )S
1875     879 1582 M ( )S
1876     892 1582 M (q)S
1877     917 1582 M <92>S
1878     1 Lw N 263 1569 M 342 1569 I : 4.164 4.16 +S K
1879     ; N 342 1561 M 342 1578 I 354 1569 I 342 1561 I C
1880     O N 342 1561 M 342 1578 I : 4.164 4.16 +S K
1881     ; N 342 1578 M 354 1569 I : 4.164 4.16 +S K
1882     ; N 354 1569 M 342 1561 I : 4.164 4.16 +S K
1883     ; N 604 1549 M 683 1549 I : 4.164 4.16 +S K
1884     ; N 683 1540 M 683 1557 I 696 1549 I 683 1540 I C
1885     O N 683 1540 M 683 1557 I : 4.164 4.16 +S K
1886     ; N 683 1557 M 696 1549 I : 4.164 4.16 +S K
1887     ; N 696 1549 M 683 1540 I : 4.164 4.16 +S K
1888     ; N 783 1569 M 863 1569 I : 4.164 4.16 +S K
1889     ; N 863 1561 M 863 1578 I 875 1569 I 863 1561 I C
1890     O N 863 1561 M 863 1578 I : 4.164 4.16 +S K
1891     ; N 863 1578 M 875 1569 I : 4.164 4.16 +S K
1892     ; N 875 1569 M 863 1561 I : 4.164 4.16 +S K
1893     ; N 617 1590 M 696 1590 I : 4.164 4.16 +S K
1894     ; N 621 1599 M 621 1582 I 604 1590 I 621 1599 I C
1895     O N 621 1599 M 621 1582 I : 4.164 4.16 +S K
1896     ; N 621 1582 M 604 1590 I : 4.164 4.16 +S K
1897     ; N 604 1590 M 621 1599 I : 4.164 4.16 +S K
1898     ; /F0S29 F0 [41.633 0 0 -41.633 0 0 ] mFS
1899     F0S29 Ji
1900     258 1532 M ( )S
1901     267 1532 M (G)S
1902     /F4S29 F4 [41.633 0 0 -41.633 0 0 ] mFS
1903     F4S29 Ji
1904     296 1532 M <D9>S
1905     321 1532 M (s)S
1906     N 321 1536 M 346 1536 I 346 1540 I 321 1540 I 321 1536 I C
1907     O : 804 1495 12 46 rc F0S29 Ji
1908     804 1532 M ( )S
1909     ; : 813 1495 25 46 rc 813 1532 M (s)S
1910     ; N 804 1536 M 838 1536 I 838 1540 I 804 1540 I 804 1536 I C
1911     O F0S29 Ji
1912     617 1653 M ( )S
1913     F4S29 Ji
1914     625 1653 M <D8>S
1915     F0S29 Ji
1916     654 1653 M (G)S
1917     625 1524 M ( )S
1918     633 1524 M (G)S
1919     F1S2A Ji
1920     241 1776 M (Figure )[26 12 26 26 16 23 0]xS
1921     382 1776 M (1)S
1922     405 1776 M (: Guarded Event Transition)[14 12 12 33 26 23 16 26 23 26 12 28 23 23 26 14 12 27 16 23 26 23 12 14 12 26 0]xS
1923     F0S2A Ji
1924     150 1875 M (In the figure, q has been partitioned into q1 and q2,)[12 23 14 12 23 23 14 13 10 23 23 14 23 12 14 23 14 23 23 20 15 23 23 23 23 15 23 23 14 12 10 12
1925     10 23 23 23 23 15 10 23 12 23 15 23 23 15 23 23 23 15 23 23 0]xS
1926     150 1926 M (with I)[29 10 12 23 32 0]xS
1927     F0S1B Ji
1928     268 1932 M (q 1)[15 28 0]xS
1929     F0S2A Ji
1930     326 1926 M (= I)[25 32 0]xS
1931     F0S1B Ji
1932     395 1932 M (q )[15 0]xS
1933     F4S2A Ji
1934     438 1926 M <D9>S
1935     F0S2A Ji
1936     464 1926 M ( )S
1937     F4S2A Ji
1938     496 1926 M <D8>S
1939     F0S2A Ji
1940     526 1926 M (G and I)[33 32 32 23 23 23 32 0]xS
1941     F0S1B Ji
1942     736 1932 M (q 2)[15 29 0]xS
1943     F0S2A Ji
1944     795 1926 M (= I)[25 33 0]xS
1945     F0S1B Ji
1946     865 1932 M (q )[15 0]xS
1947     F4S2A Ji
1948     909 1926 M <D9>S
1949     F0S2A Ji
1950     935 1926 M ( G. This)[33 33 12 33 26 23 10 0]xS
1951     150 1974 M (decomposition is valid because for a guarded event)[23 23 21 23 36 23 23 20 10 12 10 23 23 14 10 20 14 23 23 10 10 23 14 23 23 21 23 23 20 23 14 13
1952     23 14 15 23 15 23 23 23 14 23 23 23 15 23 23 23 23 0]xS
1953     150 2022 M (transition to take place, the guard must be true when)[12 14 23 23 20 10 12 10 23 23 12 12 23 12 12 23 21 23 12 23 10 23 21 23 12 12 12 23 23 12 23 23
1954     23 14 23 12 36 23 20 12 12 23 23 12 12 14 23 23 12 29 23 23 0]xS
1955     150 2070 M (the event is triggered.)[12 23 23 12 23 23 23 23 12 12 10 20 12 12 14 10 23 23 23 14 23 23 0]xS
1956     75 2168 M (6.)[23 0]xS
1957     150 2168 M (\(q)[14 0]xS
1958     F0S1B Ji
1959     187 2174 M (0)S
1960     F0S2A Ji
1961     202 2168 M (, x)[12 16 0]xS
1962     F0S1B Ji
1963     252 2174 M (0)S
1964     F0S2A Ji
1965     267 2168 M (\) denotes the initialization condition: q)[14 16 23 23 23 23 12 23 20 16 12 23 23 17 10 23 10 12 10 23 10 10 21 23 12 10 23 23 17 21 23 23
1966     23 10 12 10 23 23 12 17 0]xS
1967     F0S1B Ji
1968     992 2174 M (0 )[15 0]xS
1969     F0S2A Ji
1970     1020 2168 M (is the)[10 20 17 12 23 0]xS
1971     150 2216 M (initial vertex and x)[10 23 10 12 10 23 10 12 23 23 14 12 23 22 12 23 23 23 12 0]xS
1972     F0S1B Ji
1973     492 2222 M (q0)[15 0]xS
1974     F0S2A Ji
1975     522 2216 M (\(0\)= x)[14 23 14 25 12 0]xS
1976     F0S1B Ji
1977     632 2222 M (0)S
1978     F0S2A Ji
1979     647 2216 M (.)S
1980     75 2314 M (Without loss of generality, we assume that the invariant)[42 10 12 23 23 23 12 14 10 23 20 20 14 23 13 14 23 23 23 23 14 23 10 10 12 21 12 14 29 23 15 23
1981     20 20 23 36 23 15 12 23 23 12 15 12 23 23 15 10 23 23 23 14 10 23 23 0]xS
1982     75 2362 M (I)S
1983     F0S1B Ji
1984     87 2368 M (q)S
1985     F0S2A Ji
1986     102 2362 M ( is violated if and only if one of the guards at q is)[21 10 20 21 23 10 23 10 23 12 23 23 21 10 13 21 23 23 23 21 23 23 10 21 21 10 13 21 23 23 23 21
1987     23 13 21 12 23 23 22 23 23 23 14 23 20 22 23 12 22 23 22 10 0]xS
1988     75 2410 M (satisfied, that is,)[20 23 12 10 20 13 10 23 23 12 12 12 23 23 12 12 10 20 0]xS
1989     225 2511 M (I)S
1990     F0S1B Ji
1991     237 2517 M (q )[15 0]xS
1992     F0S2A Ji
1993     260 2511 M (= )[25 0]xS
1994     F4S2A Ji
1995     297 2511 M <D8>S
1996     F0S2A Ji
1997     327 2511 M (G)S
1998     F0S1B Ji
1999     360 2517 M (1)S
2000     F4S2A Ji
2001     375 2511 M <D9>S
2002     F0S2A Ji
2003     401 2511 M ( )S
2004     F4S2A Ji
2005     413 2511 M <D8>S
2006     F0S2A Ji
2007     443 2511 M (G)S
2008     F0S1B Ji
2009     476 2517 M (2)S
2010     F4S2A Ji
2011     491 2511 M <D9>S
2012     F0S2A Ji
2013     517 2511 M ( ...)[12 12 12 0]xS
2014     F4S2A Ji
2015     565 2511 M <D9>S
2016     591 2511 M <D8>S
2017     F0S2A Ji
2018     621 2511 M (G)S
2019     F0S1B Ji
2020     654 2517 M (k)S
2021     F0S2A Ji
2022     668 2511 M (,)S
2023     75 2609 M (where G)[29 23 23 14 23 12 0]xS
2024     F0S1B Ji
2025     232 2615 M (1)S
2026     F0S2A Ji
2027     247 2609 M (,G)[12 0]xS
2028     F0S1B Ji
2029     292 2615 M (2)S
2030     F0S2A Ji
2031     307 2609 M (, ...,G)[12 12 12 12 12 12 0]xS
2032     F0S1B Ji
2033     412 2615 M (k)S
2034     F0S2A Ji
2035     426 2609 M ( are guards of the dynamic transitions)[12 23 14 23 12 23 23 23 14 23 20 12 23 13 12 12 23 23 12 23 21 23 23 36 10 21 12 12 14 23 23 20
2036     10 12 10 23 23 0]xS
2037     75 2657 M (leaving q. If this assumption is not satisfied, we can)[10 23 23 23 10 23 23 22 23 12 22 12 13 22 12 23 10 20 23 23 20 20 23 36 23 12 10 23 23 23 10 20
2038     23 23 23 12 23 20 23 12 10 20 13 10 23 23 12 23 29 23 23 21 23 0]xS
2039     75 2705 M (simply redefine I)[20 10 36 23 10 21 12 14 23 23 23 13 10 23 23 12 0]xS
2040     F0S1B Ji
2041     383 2711 M (q)S
2042     F0S2A Ji
2043     398 2705 M ( as above without changing the EHM.)[12 23 20 12 23 23 23 23 23 12 29 10 12 23 23 23 12 12 21 23 23 23 23 10 23 23 12 12 23 23 12 28
2044     30 35 0]xS
2045     75 2803 M (When several processes modeled by EHMs run in)[42 23 23 23 29 20 23 23 23 14 23 10 29 23 14 23 21 23 20 20 23 20 29 36 23 23 23 10 23 23 29 23
2046     21 29 28 30 35 20 30 14 23 23 30 10 0]xS
2047     75 2851 M (parallel, the concurrent system will be modeled by a)[23 23 14 23 10 10 23 10 12 22 12 23 23 22 21 23 23 21 23 14 14 23 23 12 23 20 21 20 12 23 36 23
2048     29 10 10 10 23 23 23 23 36 23 23 23 10 23 23 23 23 21 23 0]xS
2049     75 2899 M (composite hybrid machine \(CHM\) using a parallel)[21 23 36 23 23 20 10 12 23 34 23 21 23 14 10 23 34 36 23 21 23 10 23 23 34 14 30 30 35 14 34 23
2050     20 10 23 23 34 23 35 23 23 14 23 10 10 23 0]xS
2051     75 2947 M (composition operator ||.)[21 23 36 23 23 20 10 12 10 23 23 12 23 23 23 14 23 12 23 14 12 11 11 0]xS
2052     225 3045 M (CHM = EHM)[30 30 35 12 25 12 28 30 0]xS
2053     F0S1B Ji
2054     462 3024 M (1)S
2055     F0S2A Ji
2056     477 3045 M (||EHM)[11 11 28 30 0]xS
2057     F0S1B Ji
2058     592 3024 M (2)S
2059     F0S2A Ji
2060     607 3045 M (||...||EHM)[11 11 12 12 12 11 11 28 30 0]xS
2061     F0S1B Ji
2062     780 3024 M (n)S
2063     F0S2A Ji
2064     795 3045 M (.)S
2065     1275 156 M (Interaction between EHMs is achieved by means of)[12 23 12 23 14 23 21 12 10 23 23 25 23 23 12 29 23 23 23 26 28 30 35 20 26 10 20 26 23 21 23 10
2066     23 23 23 23 26 23 21 26 36 23 23 23 20 26 23 0]xS
2067     1275 204 M (signal transmission \(shared variables, or )[20 10 23 23 23 10 12 12 14 23 23 20 36 10 20 20 10 23 23 12 14 20 23 23 14 23 23 12 23 23 14 10
2068     23 23 10 23 20 12 12 23 14 0]xS
2069     F2S2A Ji
2070     2036 204 M (SV)[28 0]xS
2071     F0S2A Ji
2072     2092 204 M (s\) and input-)[20 14 12 23 23 23 13 10 23 23 23 12 0]xS
2073     1275 253 M (output event synchronization \(message passing or event)[23 23 12 23 23 12 12 23 23 23 23 12 12 20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 12 14 36 23
2074     20 20 23 23 23 13 23 23 20 20 10 23 23 13 23 14 13 23 23 23 23 0]xS
2075     1275 301 M (passing\) as described below.)[23 23 20 20 10 23 23 14 12 23 20 12 23 23 20 21 14 10 23 23 23 12 23 23 10 23 29 0]xS
2076     1275 399 M (Shared variables consist of output signals from all)[28 23 23 14 23 23 29 23 23 14 10 23 23 10 23 20 29 21 23 23 20 10 20 12 30 23 13 30 23 23 12 23
2077     23 12 30 20 10 23 23 23 10 20 30 13 14 23 36 30 23 10 0]xS
2078     1275 447 M (EHMs as well as signals received from the environment.)[28 30 35 20 12 23 20 12 29 23 10 10 12 23 20 13 20 10 23 23 23 10 20 13 14 23 21 23 10 23 23 23
2079     13 13 14 23 36 13 12 23 23 13 23 23 23 10 14 23 23 36 23 23 12 0]xS
2080     1275 495 M (They are shared by all EHMs in the sense that they are)[26 23 23 21 14 23 14 23 14 20 23 23 14 23 23 14 23 21 15 23 10 10 15 28 30 35 20 15 10 23 15 12
2081     23 23 15 20 23 23 20 23 15 12 23 23 12 15 12 23 23 21 15 23 14 0]xS
2082     1275 543 M (accessible to all EHMs. A specific shared variable s)[23 21 21 23 20 20 10 23 10 23 20 12 23 20 23 10 10 20 28 30 35 20 12 20 20 28 20 20 23 23 21 10
2083     13 10 21 21 20 23 23 14 23 23 21 23 23 14 10 23 23 10 23 21 0]xS
2084     F0S1B Ji
2085     2319 549 M (i)S
2086     F0S2A Ji
2087     1275 591 M (can be the output of at most one EHM. The set of)[21 23 23 22 23 23 22 12 23 23 22 23 23 12 23 23 12 22 23 13 22 23 12 22 36 23 20 12 22 23 23 23
2088     22 28 30 35 12 22 22 26 23 23 22 20 23 12 22 23 0]xS
2089     1275 639 M (shared variables defines a signal space S= [s)[20 23 23 14 23 23 20 23 23 14 10 23 23 10 23 20 20 23 23 13 10 23 23 20 20 23 20 20 10 23 23 23
2090     10 20 20 23 23 21 23 20 28 25 20 12 0]xS
2091     F0S1B Ji
2092     2172 645 M (1, )[15 8 0]xS
2093     F0S2A Ji
2094     2211 639 M ( s)[20 0]xS
2095     F0S1B Ji
2096     2251 645 M (2, \205,)[15 8 16 27 0]xS
2097     F0S2A Ji
2098     1275 690 M (s)S
2099     F0S1B Ji
2100     1295 696 M (m)S
2101     F0S2A Ji
2102     1317 690 M (])S
2103     F4S2A Ji
2104     1329 690 M <CE>S
2105     F2S2A Ji
2106     1358 690 M (R)S
2107     F0S1B Ji
2108     1388 669 M (m)S
2109     F0S2A Ji
2110     1410 690 M (.)S
2111     1275 789 M (Transitions are synchronized by an input-output)[26 14 23 23 20 10 12 10 23 23 20 46 23 14 23 46 20 21 23 21 23 14 23 23 10 21 23 23 46 23 21 46
2112     23 23 46 10 23 23 23 12 14 23 23 12 23 23 0]xS
2113     1275 840 M (synchronization formalism. That is, if an output event )[20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 13 13 23 14 36 23 10 10 20 36 12 13 13 26 23 23 12
2114     14 10 20 12 14 10 13 14 23 23 14 23 23 12 23 23 12 14 23 23 23 23 12 0]xS
2115     F4S2A Ji
2116     2300 840 M (s)S
2117     F0S2A Ji
2118     1275 888 M (is either generated by one of the EHMs or received from)[10 20 12 23 10 12 23 23 14 12 23 23 23 23 14 23 12 23 23 12 23 21 12 23 23 23 12 23 13 13 12 23
2119     23 13 28 30 35 20 13 23 14 13 14 23 21 23 10 23 23 23 13 13 14 23 0]xS
2120     1275 939 M (the environment, then all EHMs for which )[12 23 23 14 23 23 23 10 14 23 23 36 23 23 12 12 14 12 23 23 23 14 23 10 10 14 28 30 35 20 14 13
2121     23 14 14 29 23 10 21 23 0]xS
2122     F4S2A Ji
2123     2069 939 M (s)S
2124     F0S2A Ji
2125     2094 939 M ( is an active)[14 10 20 14 23 23 15 23 21 12 10 23 0]xS
2126     : N 2069 944 24 2 rp C
2127     L ; 1275 990 M (transition label \(i.e., )[12 14 23 23 20 10 12 10 23 23 19 10 23 23 23 10 19 14 10 12 23 12 12 0]xS
2128     F4S2A Ji
2129     1674 990 M (s)S
2130     F0S2A Ji
2131     1699 990 M ( is defined at the current vertex)[19 10 20 19 23 23 13 10 23 23 23 20 23 12 20 12 23 23 20 21 23 14 14 23 23 12 20 23 23 14 12 23
2132     0]xS
2133     : N 1674 995 24 2 rp C
2134     L ; 1275 1041 M (with the guard satisfied\) will execute )[29 10 12 23 36 12 23 23 36 23 23 23 14 23 36 20 23 12 10 20 13 10 23 23 14 36 29 10 10 10 36 23
2135     22 23 21 23 12 23 0]xS
2136     F4S2A Ji
2137     2103 1041 M (s)S
2138     F0S2A Ji
2139     2128 1041 M ( \(and its)[36 14 23 23 23 36 10 12 0]xS
2140     : N 2103 1046 24 2 rp C
2141     L ; 1275 1089 M (associated transition\) concurrently with the occurrence)[23 20 20 23 21 10 23 12 23 23 20 12 14 23 23 20 10 12 10 23 23 14 20 21 23 23 21 23 14 14 23 23
2142     12 10 21 20 29 10 12 23 21 12 23 23 21 23 21 21 23 14 14 23 23 21 0]xS
2143     1275 1140 M (of )[23 13 0]xS
2144     F4S2A Ji
2145     1330 1140 M (s)S
2146     F0S2A Ji
2147     1355 1140 M (. A specific output event can be generated by at)[12 19 19 28 19 20 23 23 21 10 13 10 21 19 23 23 12 23 23 12 19 23 23 23 23 12 19 21 23 23 19 23
2148     23 19 23 23 23 23 14 23 12 23 23 19 23 21 19 23 0]xS
2149     1275 1188 M (most one EHM.)[36 23 20 12 12 23 23 23 12 28 30 35 0]xS
2150     1275 1286 M (Formally, a CHM is defined as follows.)[26 23 14 36 23 10 10 21 12 12 23 12 30 30 35 12 10 20 12 23 23 13 10 23 23 23 12 23 20 12 13 23
2151     10 10 23 29 20 0]xS
2152     1275 1387 M (CHM = EHM)[30 30 35 12 25 12 28 30 0]xS
2153     F0S1B Ji
2154     1512 1366 M (1)S
2155     F0S2A Ji
2156     1527 1387 M (||EHM)[11 11 28 30 0]xS
2157     F0S1B Ji
2158     1642 1366 M (2)S
2159     F0S2A Ji
2160     1657 1387 M (||...||EHM)[11 11 12 12 12 11 11 28 30 0]xS
2161     F0S1B Ji
2162     1830 1366 M (n)S
2163     F0S2A Ji
2164     1845 1387 M (= \(Q,)[25 12 14 33 0]xS
2165     F4S2A Ji
2166     1941 1387 M (S)S
2167     F0S2A Ji
2168     1967 1387 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
2169     F0S1B Ji
2170     2170 1393 M (0)S
2171     F0S2A Ji
2172     2185 1387 M (, x)[12 12 0]xS
2173     F0S1B Ji
2174     2231 1393 M (0)S
2175     F0S2A Ji
2176     2246 1387 M (\)\),)[14 14 0]xS
2177     1275 1485 M (where)[29 23 23 14 0]xS
2178     1275 1586 M (1.)[23 0]xS
2179     1310 1586 M ( )S
2180     1350 1586 M (Q = Q)[33 12 25 12 0]xS
2181     F0S1B Ji
2182     1465 1565 M (1 )[15 0]xS
2183     F4S2A Ji
2184     1488 1586 M <B4>S
2185     F0S2A Ji
2186     1511 1586 M ( Q)[12 0]xS
2187     F0S1B Ji
2188     1556 1565 M (2 )[15 0]xS
2189     F4S2A Ji
2190     1579 1586 M <B4>S
2191     F0S2A Ji
2192     1602 1586 M <2085>[12 0]xS
2193     F4S2A Ji
2194     1656 1586 M <B4>S
2195     F0S2A Ji
2196     1679 1586 M ( Q)[12 0]xS
2197     F0S1B Ji
2198     1724 1565 M (n)S
2199     F0S2A Ji
2200     1739 1586 M ( is the set of configurations;)[12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
2201     1275 1687 M (2.)[23 0]xS
2202     1310 1687 M ( )S
2203     F4S2A Ji
2204     1350 1687 M (S)S
2205     F0S2A Ji
2206     1376 1687 M ( = )[12 25 0]xS
2207     F4S2A Ji
2208     1425 1687 M (S)S
2209     F0S1B Ji
2210     1451 1666 M (1 )[15 0]xS
2211     F4S2A Ji
2212     1474 1687 M <C8>S
2213     F0S2A Ji
2214     1506 1687 M ( )S
2215     F4S2A Ji
2216     1518 1687 M (S)S
2217     F0S1B Ji
2218     1544 1666 M (2 )[15 0]xS
2219     F4S2A Ji
2220     1567 1687 M <C8>S
2221     F0S2A Ji
2222     1599 1687 M <2085>[12 0]xS
2223     F4S2A Ji
2224     1653 1687 M <C8>S
2225     F0S2A Ji
2226     1685 1687 M ( )S
2227     F4S2A Ji
2228     1697 1687 M (S)S
2229     F0S1B Ji
2230     1723 1666 M (n)S
2231     F0S2A Ji
2232     1738 1687 M ( is the set of events;)[12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 20 0]xS
2233     1275 1788 M (3.)[23 0]xS
2234     1310 1788 M ( )S
2235     1350 1788 M (D = {d)[30 18 25 18 14 0]xS
2236     F0S1B Ji
2237     1478 1794 M (q )[15 0]xS
2238     F0S2A Ji
2239     1507 1788 M (= \(x)[25 18 14 0]xS
2240     F0S1B Ji
2241     1586 1794 M (q)S
2242     F0S2A Ji
2243     1601 1788 M (, y)[12 18 0]xS
2244     F0S1B Ji
2245     1652 1794 M (q)S
2246     F0S2A Ji
2247     1667 1788 M (, u)[12 18 0]xS
2248     F0S1B Ji
2249     1720 1794 M (q)S
2250     F0S2A Ji
2251     1735 1788 M (, f)[12 18 0]xS
2252     F0S1B Ji
2253     1778 1794 M (q)S
2254     F0S2A Ji
2255     1793 1788 M (, h)[12 18 0]xS
2256     F0S1B Ji
2257     1846 1794 M (q)S
2258     F0S2A Ji
2259     1861 1788 M (\): q=<q)[14 12 18 23 25 25 0]xS
2260     F0S1B Ji
2261     2001 1767 M (1)S
2262     F0S2A Ji
2263     2016 1788 M (, q)[12 18 0]xS
2264     F0S1B Ji
2265     2069 1767 M (2)S
2266     F0S2A Ji
2267     2084 1788 M (, \205, q)[12 18 42 12 18 0]xS
2268     F0S1B Ji
2269     2209 1767 M (n)S
2270     F0S2A Ji
2271     2224 1788 M (>)S
2272     F4S2A Ji
2273     2249 1788 M <CE>S
2274     F0S2A Ji
2275     2278 1788 M (Q})[33 0]xS
2276     1350 1836 M (combines all the dynamics of q)[21 23 36 23 10 23 23 20 12 23 10 10 12 12 23 23 12 23 21 23 23 36 10 21 20 12 23 13 12 0]xS
2277     F0S1B Ji
2278     1926 1815 M (1)S
2279     F0S2A Ji
2280     1941 1836 M (, q)[12 12 0]xS
2281     F0S1B Ji
2282     1988 1815 M (2)S
2283     F0S2A Ji
2284     2003 1836 M (, \205, q)[12 12 42 12 12 0]xS
2285     F0S1B Ji
2286     2116 1815 M (n)S
2287     F0S2A Ji
2288     2131 1836 M (;)S
2289     1275 1937 M (4.)[23 0]xS
2290     1310 1937 M ( )S
2291     1350 1937 M (I = { I)[12 13 25 13 14 14 0]xS
2292     F0S1B Ji
2293     1453 1943 M (q )[15 0]xS
2294     F0S2A Ji
2295     1478 1937 M (= I)[25 14 0]xS
2296     F0S1B Ji
2297     1529 1943 M (q1)[15 0]xS
2298     F0S2A Ji
2299     1559 1937 M ( )S
2300     F4S2A Ji
2301     1573 1937 M <D9>S
2302     F0S2A Ji
2303     1599 1937 M ( I)[14 0]xS
2304     F0S1B Ji
2305     1625 1943 M (q2)[15 0]xS
2306     F0S2A Ji
2307     1655 1937 M ( )S
2308     F4S2A Ji
2309     1669 1937 M <D9>S
2310     F0S2A Ji
2311     1695 1937 M ( \205 )[14 42 0]xS
2312     F4S2A Ji
2313     1765 1937 M <D9>S
2314     F0S2A Ji
2315     1791 1937 M ( I)[14 0]xS
2316     F0S1B Ji
2317     1817 1943 M (qn)[15 0]xS
2318     F0S2A Ji
2319     1847 1937 M (: q=<q)[12 14 23 25 25 0]xS
2320     F0S1B Ji
2321     1969 1916 M (1)S
2322     F0S2A Ji
2323     1984 1937 M (, q)[12 14 0]xS
2324     F0S1B Ji
2325     2033 1916 M (2)S
2326     F0S2A Ji
2327     2048 1937 M (, \205, q)[12 14 42 12 14 0]xS
2328     F0S1B Ji
2329     2165 1916 M (n)S
2330     F0S2A Ji
2331     2180 1937 M (>)S
2332     F4S2A Ji
2333     2205 1937 M <CE>S
2334     F0S2A Ji
2335     2234 1937 M (Q} is)[33 14 14 10 0]xS
2336     1350 1985 M (the invariant;)[12 23 23 12 10 23 23 23 14 10 23 23 12 0]xS
2337     1275 2083 M (5.)[23 0]xS
2338     1310 2083 M ( )S
2339     1350 2083 M (E is the set of edges or transitions, described below.)[28 12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 20 12 23 14 12 12 14 23 23 20 10 12
2340     10 23 23 20 12 12 23 23 20 21 14 10 23 23 23 12 23 23 10 23 29 0]xS
2341     1275 2181 M (6.)[23 0]xS
2342     1310 2181 M ( )S
2343     1350 2181 M (\(q)[14 0]xS
2344     F0S1B Ji
2345     1387 2187 M (0)S
2346     F0S2A Ji
2347     1402 2181 M (,x)[12 0]xS
2348     F0S1B Ji
2349     1436 2187 M (0)S
2350     F0S2A Ji
2351     1451 2181 M (\) = \(<q)[14 14 25 14 14 25 0]xS
2352     F0S1B Ji
2353     1580 2187 M (0)S
2354     1595 2160 M (1)S
2355     F0S2A Ji
2356     1610 2181 M (, q)[12 14 0]xS
2357     F0S1B Ji
2358     1659 2187 M (0)S
2359     1674 2160 M (2)S
2360     F0S2A Ji
2361     1689 2181 M (, \205, q)[12 14 42 12 14 0]xS
2362     F0S1B Ji
2363     1806 2187 M (0)S
2364     1821 2160 M (n)S
2365     F0S2A Ji
2366     1836 2181 M (>, \(x)[25 12 14 14 0]xS
2367     F0S1B Ji
2368     1923 2187 M (0)S
2369     1938 2160 M (1)S
2370     F0S2A Ji
2371     1953 2181 M (, x)[12 14 0]xS
2372     F0S1B Ji
2373     2001 2187 M (0)S
2374     2016 2160 M (2)S
2375     F0S2A Ji
2376     2031 2181 M (, \205, x)[12 15 42 12 15 0]xS
2377     F0S1B Ji
2378     2149 2187 M (0)S
2379     2164 2160 M (n)S
2380     F0S2A Ji
2381     2179 2181 M (\)\) is the)[14 14 15 10 20 15 12 23 0]xS
2382     1350 2229 M (initial condition.)[10 23 10 12 10 23 10 12 21 23 23 23 10 12 10 23 23 0]xS
2383     1275 2327 M (The transitions in the CHM can also be derived from the)[26 23 23 13 12 14 23 23 20 10 12 10 23 23 20 13 10 23 13 12 23 23 13 30 30 35 13 21 23 23 13 23
2384     10 20 23 13 23 23 13 23 23 14 10 23 23 23 13 13 14 23 36 13 12 23 0]xS
2385     1275 2375 M (EHMs. In general, the transitions can either be)[28 30 35 20 12 30 30 12 23 30 23 23 23 23 14 23 10 12 30 30 12 23 23 30 12 14 23 23 20 10 12 10
2386     23 23 20 31 21 23 23 31 23 10 12 23 23 14 31 23 0]xS
2387     1275 2423 M (triggered by an input event from the environment or by)[12 14 10 23 23 23 14 23 23 15 23 21 15 23 23 16 10 23 23 23 12 16 23 23 23 23 12 16 13 14 23 36
2388     16 12 23 23 16 23 23 23 10 14 23 23 36 23 23 12 16 23 14 16 23 0]xS
2389     1275 2471 M (a dynamic transition in one of the EHMs. Note that one)[23 13 23 21 23 23 36 10 21 13 12 14 23 23 20 10 12 10 23 23 14 10 23 14 23 23 23 14 23 13 14 12
2390     23 23 14 28 30 35 20 12 14 14 30 23 12 23 14 12 23 23 12 14 23 23 0]xS
2391     1275 2519 M (transition in an EHM can trigger other transitions in other)[12 14 23 23 20 10 12 10 23 23 12 10 23 12 23 23 12 28 30 35 12 21 23 23 12 12 14 10 23 23 23 14
2392     12 23 12 23 23 14 12 12 14 23 23 20 10 12 10 23 23 20 12 10 23 13 23 12 23 23 0]xS
2393     1275 2567 M (EHMs.)[28 30 35 20 0]xS
2394     F0S1B Ji
2395     1400 2546 M (5)S
2396     F0S2A Ji
2397     1415 2567 M ( Therefore, a transition in the CHM may consist)[14 14 26 23 23 14 23 13 23 14 23 12 14 23 14 12 14 23 23 20 10 12 10 23 23 14 10 23 14 12 23 23
2398     14 30 30 35 15 36 23 21 15 21 23 23 20 10 20 0]xS
2399     1275 2615 M (of a logically triggered finite chain of transitions in the)[23 13 18 23 18 10 23 23 10 21 23 10 10 21 18 12 14 10 23 23 23 14 23 23 18 13 10 23 10 12 23 19
2400     21 23 23 10 23 19 23 13 19 12 14 23 23 20 10 12 10 23 23 20 19 10 23 19 12 23 0]xS
2401     1275 2663 M (EHMs. These transitions are considered to occur)[28 30 35 20 12 31 31 26 23 23 20 23 31 12 14 23 23 20 10 12 10 23 23 20 31 23 14 23 32 21 23 23
2402     20 10 23 23 14 23 23 32 12 23 32 23 21 21 23 0]xS
2403     1275 2711 M (instantaneously and concurrent vertex changes in the)[10 23 20 12 23 23 12 23 23 23 23 23 20 10 21 21 23 23 23 22 21 23 23 21 23 14 14 23 23 12 22 23
2404     23 14 12 23 22 22 21 23 23 23 23 23 20 22 10 23 22 12 23 0]xS
2405     1275 2759 M (EHMs occur at exactly the same instant.)[28 30 35 20 12 23 21 21 23 14 12 23 12 12 23 22 23 21 12 10 21 12 12 23 23 12 20 23 36 23 12 10
2406     23 20 12 23 23 12 0]xS
2407     1275 2857 M (For the interrupt latency compatibility problem, however,)[26 23 14 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12
2408     10 23 10 10 10 12 21 13 23 14 23 23 10 23 36 12 13 23 23 29 23 23 23 14 0]xS
2409     1275 2905 M (we can assume that the system is closed or self-)[29 23 28 21 23 23 28 23 20 20 23 36 23 29 12 23 23 12 29 12 23 23 29 20 21 20 12 23 36 29 10 20
2410     29 21 10 23 20 23 23 29 23 14 29 20 23 10 13 0]xS
2411     1275 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2412     1635 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2413     : N 1275 2953 600 2 rp C
2414     L ; F0S1B Ji
2415     1275 2991 M (5)S
2416     F0S2A Ji
2417     1290 3012 M ( We assume that there is no infinite chain of transitions,)[12 42 23 12 23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 14 23 12 10 20 12 23 23 12 10 23 13 10
2418     23 10 12 23 12 21 23 23 10 23 12 23 13 12 12 14 23 23 20 10 12 10 23 23 20 0]xS
2419     1275 3060 M (as this will lead to a Zeno system \(see [)[23 20 12 12 23 10 20 12 29 10 10 10 12 10 23 23 23 12 12 23 12 23 12 26 23 23 23 12 20 21 20 12
2420     23 36 12 14 20 23 23 12 0]xS
2421     2006 3060 M (6)S
2422     2029 3060 M (]\).)[12 14 0]xS
2423     LH
2424     (%%[Page: 4]%%) =
2425     %%PageTrailer
2426    
2427     %%Page: 5 5
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2429     %%EndPageComments
2430     %%BeginPageSetup
2431     /DeviceRGB dup setcolorspace /colspABC exch def
2432     mysetup concat colspRefresh
2433     %%EndPageSetup
2434    
2435     0 0 0 1 scol 1185 3158 M (5)S
2436     75 156 M (contained)[21 23 23 12 23 10 23 23 0]xS
2437     F0S1B Ji
2438     256 135 M (6)S
2439     F0S2A Ji
2440     271 156 M (. Therefore transitions in the CHM are always)[12 14 26 23 23 14 23 13 23 14 23 14 12 14 23 23 20 10 12 10 23 23 20 14 10 23 14 12 23 23 14 30
2441     30 35 14 23 14 23 14 23 10 29 23 21 0]xS
2442     75 204 M (triggered by dynamics in one of the EHMs. We denote)[12 14 10 23 23 23 14 23 23 16 23 21 16 23 21 23 23 36 10 21 20 17 10 23 17 23 23 23 17 23 13 17
2443     12 23 23 17 28 30 35 20 12 17 42 23 17 23 23 23 23 12 0]xS
2444     75 252 M (these transitions by a triple)[12 23 23 20 23 12 12 14 23 23 20 10 12 10 23 23 20 12 23 21 12 23 12 12 14 10 23 10 0]xS
2445     75 350 M ( )S
2446     225 350 M (\(q,G, q'\))[14 23 12 33 12 12 23 8 0]xS
2447     376 350 M ( = \(<q)[12 25 12 14 25 0]xS
2448     F0S1B Ji
2449     487 329 M (1)S
2450     F0S2A Ji
2451     502 350 M (, q)[12 12 0]xS
2452     F0S1B Ji
2453     549 329 M (2)S
2454     F0S2A Ji
2455     564 350 M (, \205, q)[12 12 42 12 12 0]xS
2456     F0S1B Ji
2457     677 329 M (n)S
2458     F0S2A Ji
2459     692 350 M (>,G, <q')[25 12 33 12 12 25 23 0]xS
2460     F0S1B Ji
2461     842 329 M (1)S
2462     F0S2A Ji
2463     857 350 M (, q')[12 12 23 0]xS
2464     F0S1B Ji
2465     912 329 M (2)S
2466     F0S2A Ji
2467     927 350 M (, \205, q')[12 12 42 12 12 23 0]xS
2468     F0S1B Ji
2469     1048 329 M (n)S
2470     F0S2A Ji
2471     1063 350 M (>\))[25 0]xS
2472     75 448 M (where q=<q)[29 23 23 14 23 22 23 25 25 0]xS
2473     F0S1B Ji
2474     305 427 M (1)S
2475     F0S2A Ji
2476     320 448 M (, q)[12 23 0]xS
2477     F0S1B Ji
2478     378 427 M (2)S
2479     F0S2A Ji
2480     393 448 M (, \205, q)[12 23 42 12 23 0]xS
2481     F0S1B Ji
2482     528 427 M (n)S
2483     F0S2A Ji
2484     543 448 M (> is the source configuration,)[25 23 10 20 23 12 23 23 23 20 23 23 14 21 23 23 21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
2485     75 496 M (q'=<q')[23 8 25 25 23 0]xS
2486     F0S1B Ji
2487     187 475 M (1)S
2488     F0S2A Ji
2489     202 496 M (, q')[12 15 23 0]xS
2490     F0S1B Ji
2491     260 475 M (2)S
2492     F0S2A Ji
2493     275 496 M (, \205, q')[12 15 42 12 15 23 0]xS
2494     F0S1B Ji
2495     402 475 M (n)S
2496     F0S2A Ji
2497     417 496 M (> the target configuration, and G is a)[25 15 12 23 23 15 12 23 14 23 23 12 16 21 23 23 13 10 23 23 14 23 12 10 23 23 12 16 23 23 23 16
2498     33 16 10 20 16 0]xS
2499     75 544 M (guard. To have such a transition, there must exist a)[23 23 23 14 23 12 22 26 23 22 23 23 23 23 22 20 23 21 23 22 23 23 12 14 23 23 20 10 12 10 23 23
2500     12 23 12 23 23 14 23 23 36 23 20 12 23 23 22 10 20 12 23 0]xS
2501     75 595 M (transition \(q)[12 14 23 23 20 10 12 10 23 23 25 14 0]xS
2502     F0S1B Ji
2503     307 574 M (m)S
2504     F0S2A Ji
2505     329 595 M (, G)[12 25 0]xS
2506     F4S2A Ji
2507     399 595 M <AE>S
2508     440 595 M (s)S
2509     F0S2A Ji
2510     465 595 M (', q')[8 12 25 23 0]xS
2511     F0S1B Ji
2512     541 574 M (m)S
2513     F0S2A Ji
2514     563 595 M (, x)[12 25 0]xS
2515     F0S1B Ji
2516     622 601 M (q'm)[15 5 0]xS
2517     664 574 M (0)S
2518     F0S2A Ji
2519     679 595 M (\) in some EHM)[14 25 10 23 25 20 23 36 23 25 28 30 0]xS
2520     F0S1B Ji
2521     996 574 M (m)S
2522     F0S2A Ji
2523     1018 595 M (, that)[12 25 12 23 23 0]xS
2524     75 643 M (triggers the transition. Note that for simplicity, we do not)[12 14 10 23 23 23 14 20 13 12 23 23 13 12 14 23 23 20 10 12 10 23 23 12 13 30 23 12 23 13 12 23
2525     23 12 14 13 23 14 14 20 10 36 23 10 10 21 10 12 21 12 14 29 23 14 23 23 14 23 23 0]xS
2526     75 691 M (write the output events and initial conditions, they are)[29 14 10 12 23 19 12 23 23 19 23 23 12 23 23 12 20 23 23 23 23 12 20 20 23 23 23 20 10 23 10 12
2527     10 23 10 20 21 23 23 23 10 12 10 23 23 20 12 20 12 23 23 21 20 23 14 0]xS
2528     75 739 M (inferred from the EHMs.)[10 23 13 23 14 14 23 23 12 13 14 23 36 12 12 23 23 12 28 30 35 20 0]xS
2529     75 837 M (We use EHMs to model ISs and ISRs. The overall)[42 23 25 23 20 23 25 28 30 35 20 25 12 23 25 36 23 23 23 10 25 12 28 20 25 23 23 23 25 12 28 30
2530     20 12 26 26 23 23 26 23 23 23 14 23 10 0]xS
2531     75 885 M (system is then described by the CHM. Since the above)[20 21 20 12 23 36 14 10 20 14 12 23 23 23 14 23 23 20 21 14 10 23 23 23 14 23 21 14 12 23 23 14
2532     30 30 35 12 14 14 28 10 23 21 23 14 12 23 23 14 23 23 23 23 0]xS
2533     75 933 M (construction of a CHM from EHMs can be implemented)[21 23 23 20 12 14 23 21 12 10 23 23 14 23 13 14 23 14 30 30 35 15 13 14 23 36 15 28 30 35 20 15
2534     21 23 23 15 23 23 15 10 36 23 10 23 36 23 23 12 23 0]xS
2535     75 981 M (automatically by a computer, a designer need only)[23 23 12 23 36 23 12 10 21 23 10 10 21 28 23 21 28 23 28 21 23 36 23 23 12 23 14 12 28 23 28 23
2536     23 20 10 23 23 23 14 29 23 23 23 23 29 23 23 10 0]xS
2537     75 1029 M (specify the EHMs. For the systems we have)[20 23 23 21 10 13 21 39 12 23 23 40 28 30 35 20 12 40 40 26 23 14 40 12 23 23 40 20 21 20 12 23
2538     36 20 40 29 23 40 23 23 23 0]xS
2539     75 1077 M (considered, the number of vertices in EHMs describing)[21 23 23 20 10 23 23 14 23 23 12 16 12 23 23 16 23 23 36 23 23 14 17 23 13 17 23 23 14 12 10 21
2540     23 20 17 10 23 17 28 30 35 20 17 23 23 20 21 14 10 23 10 23 0]xS
2541     75 1125 M (ISs is usually between 5 and 10. The EHM describing)[12 28 20 18 10 20 18 23 20 23 23 10 10 21 19 23 23 12 29 23 23 23 19 23 19 23 23 23 19 23 23 12
2542     19 26 23 23 19 28 30 35 19 23 23 20 21 14 10 23 10 23 0]xS
2543     75 1173 M (the SS may contain far more vertices, but there is only)[12 23 23 15 28 28 15 36 23 21 15 21 23 23 12 23 10 23 16 13 23 14 16 36 23 14 23 16 23 23 14 12
2544     10 21 23 20 12 16 23 23 12 16 12 23 23 14 23 16 10 20 16 23 23 10 0]xS
2545     75 1221 M (one such EHM in a system.)[23 23 23 12 20 23 21 23 12 28 30 35 12 10 23 12 23 12 20 21 20 12 23 36 0]xS
2546     75 1319 M (To specify interrupt latency requirements, we identify an)[26 23 13 20 23 23 21 10 13 21 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 21 13 14 23 23
2547     23 10 14 23 36 23 23 12 20 12 14 29 23 14 10 23 23 23 12 10 13 21 14 23 0]xS
2548     75 1367 M (illegal vertex in each EHM model of an IS. In other)[10 10 10 23 23 23 10 20 23 23 14 12 23 22 20 10 23 21 23 23 21 23 21 28 30 35 21 36 23 23 23 10
2549     21 23 13 21 23 23 21 12 28 12 21 21 12 23 21 23 12 23 23 0]xS
2550     75 1415 M (words, when the exhibited interrupt latency exceeds a)[29 23 14 23 20 12 19 29 23 23 23 20 12 23 23 20 23 22 23 10 23 10 12 23 23 20 10 23 12 23 14 14
2551     23 23 12 20 10 23 12 23 23 21 21 20 23 22 21 23 23 23 20 20 0]xS
2552     75 1463 M (given bound, the EHM will enter the vertex labeled)[23 10 23 23 23 25 23 23 23 23 23 12 25 12 23 23 26 28 30 35 26 29 10 10 10 26 23 23 12 23 14 26
2553     12 23 23 26 23 23 14 12 23 22 26 10 23 23 23 10 23 0]xS
2554     F2S2A Ji
2555     75 1511 M (illegal)[9 9 9 23 23 23 0]xS
2556     F0S2A Ji
2557     180 1511 M ( via a dynamic transition guarded by G=[t>b],)[27 23 10 23 27 23 27 23 21 23 23 36 10 21 27 12 14 23 23 20 10 12 10 23 23 27 23 23 23 14 23 23
2558     23 27 23 21 27 33 25 12 12 25 23 12 0]xS
2559     75 1560 M (where )[29 23 23 14 23 0]xS
2560     F2S2A Ji
2561     201 1560 M (t)S
2562     F0S2A Ji
2563     213 1560 M ( is the waiting time and )[14 10 20 14 12 23 23 14 29 23 10 12 10 23 23 14 12 10 36 23 15 23 23 23 0]xS
2564     F2S2A Ji
2565     667 1560 M (b)S
2566     F0S2A Ji
2567     690 1560 M ( is the given bound. A)[15 10 20 15 12 23 23 15 23 10 23 23 23 15 23 23 23 23 23 12 15 15 0]xS
2568     75 1609 M (configuration in the CHM is illegal if at least one of its)[21 23 23 13 10 23 23 14 23 12 10 23 23 17 10 23 17 12 23 23 17 30 30 35 17 10 20 17 10 10 10 23
2569     23 23 10 17 10 13 17 23 12 18 10 23 23 20 12 18 23 23 23 18 23 13 18 10 12 0]xS
2570     75 1657 M (vertices is illegal. The set of illegal configurations is)[23 23 14 12 10 21 23 20 21 10 20 21 10 10 10 23 23 23 10 12 21 21 26 23 23 21 20 23 12 21 23 13
2571     21 10 10 10 23 23 23 10 21 21 23 23 13 10 23 23 14 23 12 10 23 23 20 22 10 0]xS
2572     75 1714 M (denoted by Q)[23 23 23 23 12 23 23 43 23 21 43 0]xS
2573     F0S1F Ji
2574     388 1720 M (b)S
2575     F0S2A Ji
2576     405 1714 M (. Clearly, the interrupt latency)[12 44 44 30 10 23 23 14 10 21 12 44 12 23 23 44 10 23 12 23 14 14 23 23 12 44 10 23 12 23 23 21
2577     0]xS
2578     75 1764 M (requirements will be violated in some runs of the system)[14 23 23 23 10 14 23 36 23 23 12 20 12 29 10 10 10 12 23 23 12 23 10 23 10 23 12 23 23 12 10 23
2579     13 20 23 36 23 13 14 23 23 20 13 23 13 13 12 23 23 13 20 21 20 12 23 0]xS
2580     75 1812 M (if and only if at least one illegal configuration can be)[10 13 20 23 23 23 20 23 23 10 21 20 10 13 20 23 12 20 10 23 23 20 12 20 23 23 23 20 10 10 10 23
2581     23 23 10 21 21 23 23 13 10 23 23 14 23 12 10 23 23 21 21 23 23 21 23 0]xS
2582     75 1860 M (reached from the initial configuration.)[14 23 23 21 23 23 23 12 13 14 23 36 12 12 23 23 12 10 23 10 12 10 23 10 12 21 23 23 13 10 23 23
2583     14 23 12 10 23 23 0]xS
2584     F1S2A Ji
2585     75 2057 M (MODELING OF MICROPROCESSOR SYSTEMS)[35 33 30 28 26 12 30 33 12 33 26 12 35 12 30 30 33 28 30 33 30 28 28 28 33 30 12 28 28 28 27 28
2586     35 0]xS
2587     F0S2A Ji
2588     75 2156 M (This section outlines the modeling of microprocessor)[26 23 10 20 24 20 23 21 12 10 23 23 24 23 23 12 10 10 23 23 20 24 12 23 23 24 36 23 23 23 10 10
2589     23 23 24 23 13 25 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
2590     75 2204 M (systems. The goal of modeling is to model the system)[20 21 20 12 23 36 20 12 15 15 26 23 23 16 23 23 23 10 16 23 13 16 36 23 23 23 10 10 23 23 16 10
2591     20 16 12 23 16 36 23 23 23 10 16 12 23 23 16 20 21 20 12 23 0]xS
2592     75 2252 M (as a collection of EHMs, which can then be combined to)[23 20 13 23 13 21 23 10 10 23 21 12 10 23 23 13 23 13 13 28 30 35 20 12 13 29 23 10 21 23 13 21
2593     23 23 13 12 23 23 23 13 23 23 13 21 23 36 23 10 23 23 23 13 12 0]xS
2594     75 2300 M (obtain a CHM, and the CHM can be checked for the)[23 23 12 23 10 23 20 23 20 30 30 35 12 21 23 23 23 21 12 23 23 21 30 30 35 21 21 23 23 21 23 23
2595     21 21 23 23 21 21 23 23 21 13 23 14 21 12 23 0]xS
2596     75 2348 M (reachability of illegal configurations. An EHM timing)[14 23 23 21 23 23 23 10 10 10 12 21 23 23 13 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14
2597     23 12 10 23 23 20 12 23 23 28 23 23 28 30 35 23 12 10 36 10 23 0]xS
2598     75 2396 M (model of a microprocessor system with ISs and ISRs)[36 23 23 23 10 20 23 13 20 23 21 36 10 21 14 23 23 14 23 21 23 20 20 23 14 21 20 21 20 12 23 36
2599     21 29 10 12 23 21 12 28 20 21 23 23 23 21 12 28 30 0]xS
2600     75 2444 M (must involve separate EHMs for each IS as well as a)[36 23 20 12 18 10 23 23 23 10 23 23 19 20 23 23 23 14 23 12 23 19 28 30 35 20 19 13 23 14 19 23
2601     23 21 23 19 12 28 19 23 20 19 29 23 10 10 19 23 20 19 0]xS
2602     75 2492 M (separate EHM for the SS. The reason for this modeling)[20 23 23 23 14 23 12 23 13 28 30 35 13 13 23 14 13 12 23 23 13 28 28 12 14 14 26 23 23 14 14 23
2603     23 20 23 23 14 13 23 14 14 12 23 10 20 14 36 23 23 23 10 10 23 0]xS
2604     75 2540 M (requirement is that, except for certain events which)[14 23 23 23 10 14 23 36 23 23 12 26 10 20 26 12 23 23 12 12 26 23 22 21 23 23 12 26 13 23 14 26
2605     21 23 14 12 23 10 23 27 23 23 23 23 12 20 27 29 23 10 21 0]xS
2606     75 2588 M (force synchronization between separate EHMs, each IS)[13 23 14 21 23 15 20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 15 23 23 12 29 23 23 23 16 20 23
2607     23 23 14 23 12 23 16 28 30 35 20 12 16 23 23 21 23 16 12 0]xS
2608     75 2675 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2609     435 2675 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2610     : N 75 2664 600 2 rp C
2611     L ; F0S1B Ji
2612     75 2702 M (6)S
2613     F0S2A Ji
2614     90 2723 M ( This assumption significantly simplifies the reachability)[12 26 23 10 20 12 23 20 20 23 36 23 12 10 23 23 12 20 10 23 23 10 13 10 21 23 23 12 10 21 12 20
2615     10 36 23 10 10 13 10 23 20 12 12 23 23 12 14 23 23 21 23 23 23 10 10 10 12 0]xS
2616     75 2771 M (algorithm to be presented, although we do have a)[23 10 23 23 14 10 12 23 36 12 12 23 12 23 23 12 23 14 23 20 23 23 12 23 23 12 12 23 10 12 23 23
2617     23 23 23 12 29 23 12 23 23 12 23 23 23 23 12 0]xS
2618     75 2819 M (second and more complex algorithm that can handle)[20 23 21 23 23 23 12 23 23 23 12 36 23 14 23 12 21 23 36 23 10 23 22 12 23 10 23 23 14 10 12 23
2619     36 12 12 23 23 12 12 21 23 23 12 23 23 23 23 10 0]xS
2620     75 2867 M (open systems. Note that this assumption is made)[23 23 23 23 12 20 21 20 12 23 36 20 12 12 12 30 23 12 23 12 12 23 23 12 12 12 23 10 20 12 23 20
2621     20 23 36 23 12 10 23 23 12 10 20 12 36 23 23 0]xS
2622     75 2915 M (without essential loss of generality, because we can)[29 10 12 23 23 23 12 12 23 20 20 23 23 12 10 23 10 12 10 23 20 20 12 23 13 12 23 23 23 23 14 23
2623     10 10 12 21 12 12 23 23 21 23 23 20 23 12 29 23 12 21 23 0]xS
2624     75 2963 M (model the environment by an additional EHM that)[36 23 23 23 10 12 12 23 23 12 23 23 23 10 14 23 23 36 23 23 12 12 23 21 12 23 23 12 23 23 23 10
2625     12 10 23 23 23 10 12 28 30 35 12 12 23 23 0]xS
2626     75 3011 M (triggers the event transitions at an arbitrary time by)[12 14 10 23 23 23 14 20 12 12 23 23 12 23 23 23 23 12 12 12 14 23 23 20 10 12 10 23 23 20 12 23
2627     12 12 23 23 12 23 14 23 10 12 14 23 14 21 12 12 10 36 23 12 23 0]xS
2628     75 3059 M (using )[23 20 10 23 23 0]xS
2629     F2S2A Ji
2630     186 3059 M (nondet\(\))[23 23 23 23 23 12 14 0]xS
2631     F0S2A Ji
2632     341 3059 M (.)S
2633     1275 156 M (and the SS may change state independently. An)[23 23 23 29 12 23 23 29 28 28 30 36 23 21 30 21 23 23 23 23 23 30 20 12 23 12 23 30 10 23 23 23
2634     23 23 23 23 23 23 12 10 21 12 30 30 28 0]xS
2635     1275 204 M (interrupt source \(such as a UART\) may change state in)[10 23 12 23 14 14 23 23 12 15 20 23 23 14 21 23 15 14 20 23 21 23 15 23 20 15 23 15 30 28 30 26
2636     14 15 36 23 21 16 21 23 23 23 23 23 16 20 12 23 12 23 16 10 0]xS
2637     1275 252 M (response to a significant event \(such as a received)[14 23 20 23 23 23 20 23 25 12 23 25 23 25 20 10 23 23 10 13 10 21 23 23 12 25 23 23 23 23 12 26
2638     14 20 23 21 23 26 23 20 26 23 26 14 23 21 23 10 23 23 0]xS
2639     1275 300 M (character or the passage of time\) without affecting other)[21 23 23 14 23 21 12 23 14 13 23 14 13 12 23 23 13 23 23 20 20 23 23 23 13 23 13 13 12 10 36 23
2640     14 14 29 10 12 23 23 23 12 14 23 13 13 23 21 12 10 23 23 14 23 12 23 23 0]xS
2641     1275 348 M (ISs or the SS. Software, of course, may change state)[12 28 20 17 23 14 17 12 23 23 17 28 28 12 17 17 28 23 13 12 29 23 14 23 12 17 23 13 17 21 23 23
2642     14 20 23 12 17 36 23 21 18 21 23 23 23 23 23 18 20 12 23 12 0]xS
2643     1275 396 M (without affecting any IS.)[29 10 12 23 23 23 12 12 23 13 13 23 21 12 10 23 23 12 23 23 21 12 12 28 0]xS
2644     1275 494 M (Before we describe modeling in detail, we need to clarify)[28 23 13 23 14 23 12 29 23 12 23 23 20 21 14 10 23 23 12 36 23 23 23 10 10 23 23 12 10 23 12 23
2645     23 12 23 10 10 12 12 29 23 12 23 23 23 23 12 12 23 13 21 10 23 14 10 13 0]xS
2646     1275 542 M (two subtle modeling points. First, the AIL is not a)[12 29 23 25 20 23 23 12 10 23 25 36 23 23 23 10 10 23 23 25 23 23 10 23 12 20 12 25 25 26 10 14
2647     20 12 12 26 12 23 23 26 28 12 23 26 10 20 26 23 23 12 26 0]xS
2648     1275 590 M (constant \(it varies with the state of the system\); and)[21 23 23 20 12 23 23 12 22 14 10 12 22 23 23 14 10 23 20 22 29 10 12 23 22 12 23 23 22 20 12 23
2649     12 23 22 23 13 23 12 23 23 23 20 21 20 12 23 36 14 12 23 23 23 0]xS
2650     1275 638 M (second, the AIL will not appear explicitly in any EHM.)[20 23 21 23 23 23 12 12 12 23 23 12 28 12 23 12 29 10 10 10 12 23 23 12 12 23 23 23 23 23 14 12
2651     23 22 23 10 10 21 10 12 10 21 12 10 23 12 23 23 21 12 28 30 35 0]xS
2652     1275 736 M (Up to this point, we have described the AIL as if it were)[30 23 14 12 23 14 12 23 10 20 14 23 23 10 23 12 12 14 29 23 14 23 23 23 23 14 23 23 20 21 14 10
2653     23 23 23 14 12 23 23 14 28 12 23 15 23 20 15 10 13 15 10 12 15 29 23 14 0]xS
2654     1275 784 M (a constant. In practice, the AIL will change with the)[23 21 21 23 23 20 12 23 23 12 12 21 21 12 23 21 23 14 23 21 12 10 21 23 12 22 12 23 23 22 28 12
2655     23 22 29 10 10 10 22 21 23 23 23 23 23 22 29 10 12 23 22 12 23 0]xS
2656     1275 832 M (state of the system. Consider a free-running 16-bit)[20 12 23 12 23 25 23 13 25 12 23 23 25 20 21 20 12 23 36 12 25 25 30 23 23 20 10 23 23 14 25 23
2657     26 13 14 23 23 14 14 23 23 23 10 23 23 26 23 23 14 23 10 0]xS
2658     1275 880 M (counter \(i.e. a timer\) which is interfaced to the SS so)[21 23 23 23 12 23 14 19 14 10 12 23 12 19 23 19 12 10 36 23 14 14 19 29 23 10 21 23 19 10 20 20
2659     10 23 12 23 14 13 23 21 23 23 20 12 23 20 12 23 23 20 28 28 20 20 0]xS
2660     1275 928 M (that it generates an interrupt and causes execution of)[12 23 23 12 19 10 12 20 23 23 23 23 14 23 12 23 20 20 23 23 20 10 23 12 23 14 14 23 23 12 20 23
2661     23 23 20 21 23 23 20 23 20 20 23 22 23 21 23 12 10 23 23 20 23 0]xS
2662     1275 976 M (the same ISR \(a\)when the counter reaches the value of)[12 23 23 14 20 23 36 23 14 12 28 30 14 14 23 14 29 23 23 23 14 12 23 23 15 21 23 23 23 12 23 14
2663     15 14 23 23 21 23 23 20 15 12 23 23 15 23 23 10 23 23 15 23 0]xS
2664     1275 1024 M (F000)[26 23 23 0]xS
2665     F0S1B Ji
2666     1370 1030 M (16)[15 0]xS
2667     F0S2A Ji
2668     1400 1024 M (; and \(b\)when the counter rolls over from FFFF)[12 14 23 23 23 14 14 23 14 29 23 23 23 15 12 23 23 15 21 23 23 23 12 23 14 15 14 23 10 10 20 15
2669     23 23 23 14 15 13 14 23 36 15 26 26 26 0]xS
2670     F0S1B Ji
2671     2295 1030 M (16)[15 0]xS
2672     F0S2A Ji
2673     1275 1072 M (to 0000)[12 23 22 23 23 23 0]xS
2674     F0S1B Ji
2675     1424 1078 M (16)[15 0]xS
2676     F0S2A Ji
2677     1454 1072 M (. Depending on how this IS is used in the)[12 22 22 30 23 23 23 23 23 10 23 23 22 23 23 22 23 23 29 22 12 23 10 20 22 12 28 22 10 20 22 23
2678     20 23 23 23 10 23 23 12 23 0]xS
2679     1275 1120 M (system, there may be the requirement that the ISR)[20 21 20 12 23 36 12 25 12 23 23 14 23 25 36 23 21 25 23 23 26 12 23 23 26 14 23 23 23 10 14 23
2680     36 23 23 12 26 12 23 23 12 26 12 23 23 26 12 28 0]xS
2681     1275 1168 M (complete before the hardware interrupt is asserted)[21 23 36 23 10 23 12 23 31 23 23 13 23 14 23 31 12 23 23 31 23 23 14 23 29 23 14 23 31 10 23 12
2682     23 14 14 23 23 12 32 10 20 32 23 20 20 23 14 12 23 0]xS
2683     1275 1216 M (again. In this example, this would imply that half of the)[23 23 23 10 23 12 14 14 12 23 14 12 23 10 20 14 23 22 23 36 23 10 23 12 14 12 23 10 20 14 29 23
2684     23 10 23 14 10 36 23 10 21 15 12 23 23 12 15 23 23 10 13 15 23 13 15 12 23 0]xS
2685     1275 1264 M (time when the interrupt is asserted, a relatively short AIL)[12 10 36 23 12 29 23 23 23 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 20 12 23 20 20 23 14
2686     12 23 23 12 13 23 13 14 23 10 23 12 10 23 23 10 21 13 20 23 23 14 12 13 28 12 0]xS
2687     1275 1312 M (is involved \(on the order of 0FFF)[10 20 17 10 23 23 23 10 23 23 23 17 14 23 23 17 12 23 23 18 23 14 23 23 14 18 23 13 18 23 26 26
2688     0]xS
2689     F0S1B Ji
2690     1920 1318 M (16)[15 0]xS
2691     F0S2A Ji
2692     1950 1312 M ( counts of the free-)[18 21 23 23 23 12 20 18 23 13 18 12 23 23 18 13 14 23 23 0]xS
2693     1275 1360 M (running counter\); but that the other half of the time, a)[14 23 23 23 10 23 23 18 21 23 23 23 12 23 14 14 12 18 23 23 12 18 12 23 23 12 18 12 23 23 19 23
2694     12 23 23 14 19 23 23 10 13 19 23 13 19 12 23 23 19 12 10 36 23 12 19 0]xS
2695     1275 1408 M (relatively long AIL is involved \(on the order of F000)[14 23 10 23 12 10 23 23 10 21 19 10 23 23 23 19 28 12 23 19 10 20 19 10 23 23 23 10 23 23 23 19
2696     14 23 23 20 12 23 23 20 23 14 23 23 14 20 23 13 20 26 23 23 0]xS
2697     F0S1B Ji
2698     2295 1414 M (16)[15 0]xS
2699     F0S2A Ji
2700     1275 1456 M (counts of the free-running counter\). Furthermore, which)[21 23 23 23 12 20 13 23 13 13 12 23 23 13 13 14 23 23 14 14 23 23 23 10 23 23 13 21 23 23 23 12
2701     23 14 14 12 14 14 26 23 14 12 23 23 14 36 23 14 23 12 14 29 23 10 21 0]xS
2702     1275 1504 M (of the two AIL values is appropriate is not random\227the)[23 13 15 12 23 23 15 12 29 23 15 28 12 23 15 23 23 10 23 23 20 15 10 20 15 23 23 23 14 23 23 14
2703     10 23 12 23 15 10 20 15 23 23 12 16 14 23 23 23 23 36 42 12 23 0]xS
2704     1275 1552 M (AIL alternates in a perfectly reliable A-B-A-B-\205 pattern.)[28 12 23 12 23 10 12 23 14 23 23 12 23 20 12 10 23 12 23 12 23 23 14 13 23 21 12 10 21 12 14 23
2705     10 10 23 23 10 23 12 28 14 28 14 28 14 28 14 42 12 23 23 12 12 23 14 23 0]xS
2706     1275 1650 M (The key salient point about the timer example above is)[26 23 23 15 21 23 21 15 20 23 10 10 23 23 12 15 23 23 10 23 12 15 23 23 23 23 12 15 12 23 23 16
2707     12 10 36 23 14 16 23 22 23 36 23 10 23 16 23 23 23 23 23 16 10 0]xS
2708     1275 1698 M (that )[12 23 23 12 0]xS
2709     F2S2A Ji
2710     1357 1698 M (the patterns of interrupts which have occurred in the)[12 23 23 12 23 23 12 12 23 14 23 21 12 23 12 12 9 23 12 23 14 14 23 23 12 21 13 31 23 9 21 23
2711     13 23 23 21 23 13 23 21 21 23 14 14 23 23 13 9 23 13 12 23 0]xS
2712     1275 1747 M (past place restrictions on \(and hence supply information)[23 23 21 12 14 23 9 23 21 23 14 14 23 21 12 14 9 21 12 9 23 23 21 14 23 23 15 14 23 23 23 15
2713     23 23 23 21 23 15 21 23 23 23 9 21 15 9 23 12 23 14 35 23 12 9 23 0]xS
2714     1275 1796 M (about\) the patterns of interrupts which may occur in the)[23 23 23 23 12 14 15 12 23 23 15 23 23 12 12 23 14 23 21 15 23 12 15 9 23 12 23 14 14 23 23 12
2715     21 15 31 23 9 21 23 15 35 23 21 15 23 21 21 23 14 15 9 23 16 12 23 0]xS
2716     1275 1845 M (future)[12 23 12 23 14 0]xS
2717     F0S2A Ji
2718     1382 1845 M (. The timer example is by no means contrived or)[12 15 15 26 23 23 15 12 10 36 23 14 15 23 22 23 36 23 10 23 15 10 20 15 23 21 15 23 23 15 36 23
2719     23 23 20 15 21 23 23 12 14 10 23 23 23 15 23 0]xS
2720     1275 1894 M (unique in this regard. In our modeling work, we have)[23 23 10 23 23 23 18 10 23 18 12 23 10 20 18 14 23 23 23 14 23 12 18 19 12 23 19 23 23 14 19 36
2721     23 23 23 10 10 23 23 19 29 23 14 21 12 19 29 23 19 23 23 23 0]xS
2722     1275 1942 M (found qualitatively similar examples involving UARTs,)[13 23 23 23 23 21 23 23 23 10 10 12 23 12 10 23 23 10 21 21 20 10 36 10 10 23 14 21 23 22 23 36
2723     23 10 23 20 21 10 23 23 23 10 23 10 23 23 21 30 28 30 26 20 0]xS
2724     1275 1990 M (timers, and network communication peripherals. We)[12 10 36 23 14 20 12 23 23 23 23 23 23 23 12 29 23 14 21 24 21 23 36 36 23 23 10 21 23 12 10 23
2725     23 24 23 23 14 10 23 23 23 14 23 10 20 12 24 24 42 0]xS
2726     1275 2038 M (should further add that this phenomenon is not restricted)[20 23 23 23 10 23 12 13 23 14 12 23 23 14 12 23 23 23 12 12 23 23 12 12 12 23 10 20 12 23 23 23
2727     23 23 36 23 23 23 23 13 10 20 13 23 23 12 13 14 23 20 12 14 10 21 12 23 0]xS
2728     1275 2086 M (to one IS at a time\227certain forms of \223collusion\224 between)[12 23 12 23 23 23 12 12 28 12 23 12 12 23 12 12 10 36 23 42 21 23 14 12 23 10 23 12 13 23 14 36
2729     20 12 23 13 13 14 21 23 10 10 23 20 10 23 23 14 13 23 23 12 29 23 23 0]xS
2730     1275 2134 M (different ISs are also possible. Consider two network)[23 10 13 13 23 14 23 23 12 20 12 28 20 20 23 14 23 20 23 10 20 23 20 23 23 20 20 10 23 10 23 12
2731     20 20 30 23 23 20 10 23 23 14 20 12 29 23 21 23 23 12 29 23 14 0]xS
2732     1275 2182 M (communication peripherals \(on the same network\) which)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 20 12 14 23 23 12 12 23
2733     23 13 20 23 36 23 13 23 23 12 29 23 14 21 14 13 29 23 10 21 0]xS
2734     1275 2230 M (are interfaced to the same microprocessor. Assume)[23 14 23 23 10 23 12 23 14 13 23 21 23 23 23 12 23 23 12 23 23 23 20 23 36 23 23 36 10 21 14 23
2735     23 14 23 21 23 20 20 23 14 12 24 24 28 20 20 23 36 0]xS
2736     1275 2278 M (that each of the two communication peripherals will only)[12 23 23 12 13 23 23 21 23 13 23 13 13 12 23 23 13 12 29 23 13 21 23 36 36 23 23 10 21 23 12 10
2737     23 23 13 23 23 14 10 23 23 23 14 23 10 20 14 29 10 10 10 14 23 23 10 0]xS
2738     1275 2326 M (receive a certain set of network messages, and that the)[14 23 21 23 10 23 23 14 23 14 21 23 14 12 23 10 23 14 20 23 12 14 23 13 15 23 23 12 29 23 14 21
2739     15 36 23 20 20 23 23 23 20 12 15 23 23 23 15 12 23 23 12 15 12 23 0]xS
2740     1275 2374 M (two message sets are mutually exclusive. If the)[12 29 23 31 36 23 20 20 23 23 23 32 20 23 12 20 32 23 14 23 32 36 23 12 23 23 10 10 21 32 23 22
2741     21 10 23 20 10 23 23 12 32 32 12 13 32 12 23 0]xS
2742     1275 2422 M (physical characteristics of the network are such that only)[23 23 21 20 10 21 23 10 12 21 23 23 14 23 21 12 23 14 10 20 12 10 21 20 12 23 13 12 12 23 23 12
2743     23 23 12 29 23 14 21 12 23 14 23 13 20 23 21 23 13 12 23 23 12 13 23 23 10 0]xS
2744     1275 2470 M (one message can be transmitted at a time, a receive)[23 23 23 20 36 23 20 20 23 23 23 20 21 23 23 20 23 23 20 12 14 23 23 20 36 10 12 12 23 23 20 23
2745     12 20 23 20 12 10 36 23 12 20 23 21 14 23 21 23 10 23 0]xS
2746     1275 2518 M (interrupt asserted by one of the two communication)[10 23 12 23 14 14 23 23 12 26 23 20 20 23 14 12 23 23 26 23 21 26 23 23 23 26 23 13 26 12 23 23
2747     26 12 29 23 27 21 23 36 36 23 23 10 21 23 12 10 23 0]xS
2748     1275 2566 M (peripherals places strong restrictions on when in time a)[23 23 14 10 23 23 23 14 23 10 20 15 23 10 23 21 23 20 15 20 12 14 23 23 23 16 14 23 20 12 14 10
2749     21 12 10 23 23 20 16 23 23 16 29 23 23 23 16 10 23 16 12 10 36 23 16 0]xS
2750     1275 2614 M (receive interrupt may be asserted by the other)[14 23 21 23 10 23 23 39 10 23 12 23 14 14 23 23 12 39 36 23 21 40 23 23 40 23 20 20 23 14 12 23
2751     23 40 23 21 40 12 23 23 40 23 12 23 23 0]xS
2752     1275 2662 M (communication peripheral. Similar collusion may exist)[21 23 36 36 23 23 10 21 23 12 10 23 23 17 23 23 14 10 23 23 23 14 23 10 12 18 18 28 10 36 10 10
2753     23 14 18 21 23 10 10 23 20 10 23 23 18 36 23 21 18 23 22 10 20 0]xS
2754     1275 2710 M (between transmit and receive interrupts in the same)[23 23 12 29 23 23 23 24 12 14 23 23 20 36 10 12 24 23 23 23 24 14 23 21 23 10 23 23 24 10 23 12
2755     23 14 14 23 23 12 20 25 10 23 25 12 23 23 25 20 23 36 0]xS
2756     1275 2758 M (communication peripheral.)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 0]xS
2757     1275 2856 M (The strength of our approach is that it can consider the)[26 23 23 15 20 12 14 23 23 23 12 23 15 23 13 15 23 23 14 15 23 23 23 14 23 23 21 23 15 10 20 16
2758     12 23 23 12 16 10 12 16 21 23 23 16 21 23 23 20 10 23 23 14 16 12 23 0]xS
2759     1275 2904 M (interrupt history of the system \(if the system is modeled)[10 23 12 23 14 14 23 23 12 14 23 10 20 12 23 14 21 14 23 13 14 12 23 23 14 20 21 20 12 23 36 14
2760     14 10 13 14 12 23 23 15 20 21 20 12 23 36 15 10 20 15 36 23 23 23 10 23 0]xS
2761     1275 2952 M (well\), and thus can treat an AIL which is state-)[29 23 10 10 14 12 33 23 23 23 34 12 23 23 20 34 21 23 23 34 12 14 23 23 12 34 23 23 34 28 12 23
2762     34 29 23 10 21 23 34 10 20 34 20 12 23 12 23 0]xS
2763     1275 3000 M (dependent. We are able to model ISs where past)[23 23 23 23 23 23 23 23 12 12 26 26 42 23 26 23 14 23 26 23 23 10 23 26 12 23 27 36 23 23 23 10
2764     27 12 28 20 27 29 23 23 14 23 27 23 23 20 0]xS
2765     1275 3048 M (patterns of interrupts place restrictions on future patterns)[23 23 12 12 23 14 23 20 12 23 13 12 10 23 12 23 14 14 23 23 12 20 12 23 10 23 21 23 12 14 23 20
2766     12 14 10 21 12 10 23 23 20 12 23 23 12 13 23 12 23 14 23 12 23 23 12 12 23 14 23 0]xS
2767     LH
2768     (%%[Page: 5]%%) =
2769     %%PageTrailer
2770    
2771     %%Page: 6 6
2772     %%PageBoundingBox: 18 8 593 784
2773     %%EndPageComments
2774     %%BeginPageSetup
2775     /DeviceRGB dup setcolorspace /colspABC exch def
2776     mysetup concat colspRefresh
2777     %%EndPageSetup
2778    
2779     0 0 0 1 scol 1185 3158 M (6)S
2780     75 156 M (of interrupts, and systems where ISs collude. Our)[23 13 27 10 23 12 23 14 14 23 23 12 20 12 27 23 23 23 27 20 21 20 12 23 36 20 27 29 23 23 14 23
2781     28 12 28 20 28 21 23 10 10 23 23 23 12 28 28 33 23 0]xS
2782     75 204 M (approach represents a necessary-and-sufficient test of)[23 23 23 14 23 23 21 23 20 14 23 23 14 23 20 23 23 12 20 20 23 21 23 23 21 23 20 20 23 14 21 14
2783     23 23 23 14 20 23 13 13 10 21 10 23 23 12 21 12 23 20 12 21 23 0]xS
2784     75 252 M (any system that we can model in our framework, rather)[23 23 21 15 20 21 20 12 23 36 15 12 23 23 12 15 29 23 15 21 23 23 15 36 23 23 23 10 15 10 23 15
2785     23 23 14 16 13 14 23 36 23 29 23 14 21 12 16 14 23 12 23 23 0]xS
2786     75 300 M (than a sufficient test.)[12 23 23 23 12 23 12 20 23 13 13 10 21 10 23 23 12 12 12 23 20 12 0]xS
2787     75 398 M (It should also be noted that in practice the AIL will never)[12 12 12 20 23 23 23 10 23 13 23 10 20 23 13 23 23 13 23 23 12 23 23 13 12 23 23 12 13 10 23 13
2788     23 14 23 21 12 10 21 23 13 12 23 23 13 28 12 23 13 29 10 10 10 13 23 23 23 23 0]xS
2789     75 446 M (appear explicitly in any EHM. We have defined the AIL)[23 23 23 23 23 14 13 23 22 23 10 10 21 10 12 10 21 13 10 23 14 23 23 21 14 28 30 35 12 14 14 42
2790     23 14 23 23 23 23 14 23 23 13 10 23 23 23 14 12 23 23 14 28 12 0]xS
2791     75 494 M (to be the maximum allowable time between the)[12 23 36 23 23 36 12 23 23 36 36 23 22 10 36 23 36 37 23 10 10 23 29 23 23 10 23 37 12 10 36 23
2792     37 23 23 12 29 23 23 23 37 12 23 0]xS
2793     75 542 M (assertion of an interrupt by an IS and the start of)[23 20 20 23 14 12 10 23 23 27 23 13 27 23 23 27 10 23 12 23 14 14 23 23 12 27 23 21 27 23 23 27
2794     12 28 27 23 23 23 27 12 23 23 28 20 12 23 14 12 28 23 0]xS
2795     75 590 M (execution of the associated ISR. EHM IS models simply)[23 22 23 21 23 12 10 23 23 12 23 13 12 12 23 23 12 23 20 20 23 21 10 23 12 23 23 12 12 28 30 12
2796     12 12 28 30 35 12 12 28 12 36 23 23 23 10 20 12 20 10 36 23 10 0]xS
2797     75 638 M (contain transitions to the illegal configuration \()[21 23 23 12 23 10 23 17 12 14 23 23 20 10 12 10 23 23 20 18 12 23 18 12 23 23 18 10 10 10 23 23
2798     23 10 18 21 23 23 13 10 23 23 14 23 12 10 23 23 18 0]xS
2799     F2S2A Ji
2800     964 638 M (ILC)[11 23 0]xS
2801     F0S2A Ji
2802     1028 638 M (\). In)[14 12 18 18 12 0]xS
2803     75 687 M (principle it would be possible to manually determine the)[23 14 10 23 21 10 23 10 23 14 10 12 14 29 23 23 10 23 14 23 23 14 23 23 20 20 10 23 10 23 15 12
2804     23 15 36 23 23 23 23 10 10 21 15 23 23 12 23 14 36 10 23 23 15 12 23 0]xS
2805     75 735 M (AIL from the EHM models by starting at the IS ILC and)[28 12 23 15 13 14 23 36 15 12 23 23 15 28 30 35 15 36 23 23 23 10 20 15 23 21 15 20 12 23 14 12
2806     10 23 23 15 23 12 15 12 23 23 15 12 28 16 12 23 30 16 23 23 0]xS
2807     75 783 M (working backwards while simultaneously examining the)[29 23 14 21 10 23 23 17 23 23 21 21 29 23 14 23 20 17 29 23 10 10 23 17 20 10 36 23 10 12 23 23
2808     23 23 23 20 10 21 18 23 22 23 36 10 23 10 23 23 18 12 23 0]xS
2809     75 831 M (ISR EHM and the interactions between the IS and the)[12 28 30 18 28 30 35 18 23 23 23 18 12 23 23 18 10 23 12 23 14 23 21 12 10 23 23 20 18 23 23 12
2810     29 23 23 23 18 12 23 23 19 12 28 19 23 23 23 19 12 23 0]xS
2811     75 879 M (ISR, in order to determine the latest relative time the)[12 28 30 12 20 10 23 20 23 14 23 23 14 20 12 23 20 23 23 12 23 14 36 10 23 23 20 12 23 23 20 10
2812     23 12 23 20 12 20 14 23 10 23 12 10 23 23 20 12 10 36 23 21 12 23 0]xS
2813     75 927 M (ISR can start while avoiding the ILC. However, we have)[12 28 30 12 21 23 23 12 20 12 23 14 12 12 29 23 10 10 23 12 23 23 23 10 23 10 23 23 12 12 23 23
2814     12 12 23 30 12 12 13 30 23 29 23 23 23 14 12 13 29 23 13 23 23 23 0]xS
2815     75 975 M (never done this and we suspect it would be tedious for)[23 23 23 23 14 16 23 23 23 23 16 12 23 10 20 16 23 23 23 16 29 23 16 20 23 20 23 23 21 12 16 10
2816     12 17 29 23 23 10 23 17 23 23 17 12 23 23 10 23 23 20 17 13 23 0]xS
2817     75 1023 M (complex models.)[21 23 36 23 10 23 22 12 36 23 23 23 10 20 0]xS
2818     75 1219 M (OVERVIEW OF MODELING SOFTWARE SYSTEMS)[33 28 28 30 28 12 28 42 12 33 26 12 35 33 30 28 23 12 30 33 12 28 33 26 26 42 28 30 28 12 28 28
2819     28 26 28 35 0]xS
2820     75 1317 M (Figure )[26 10 23 23 14 23 0]xS
2821     215 1317 M (2)S
2822     238 1317 M ( shows the EHM timing model of a software)[22 20 23 23 29 20 22 12 23 23 22 28 30 35 22 12 10 36 10 23 23 22 36 23 23 23 10 22 23 13 22 23
2823     22 20 23 13 12 29 23 14 0]xS
2824     75 1365 M (system \()[20 21 20 12 23 36 26 0]xS
2825     F2S2A Ji
2826     247 1365 M (SS)[28 0]xS
2827     F0S2A Ji
2828     303 1365 M (\). The system has one RTPI \(ready to)[14 12 26 26 26 23 23 26 20 21 20 12 23 36 26 23 23 20 26 23 23 23 26 30 26 28 12 26 14 14 23 23
2829     23 21 26 12 0]xS
2830     75 1414 M (process interrupts\) configuration, which models the SS)[23 14 23 21 23 20 20 18 10 23 12 23 14 14 23 23 12 20 14 18 21 23 23 13 10 23 23 14 23 12 10 23
2831     23 12 18 29 23 10 21 23 18 36 23 23 23 10 20 19 12 23 23 19 28 0]xS
2832     75 1462 M (as it is executing instructions and is able to be)[23 20 33 10 12 34 10 20 34 23 22 23 21 23 12 10 23 23 34 10 23 20 12 14 23 21 12 10 23 23 20 34
2833     23 23 23 34 10 20 34 23 23 10 23 34 12 23 34 23 0]xS
2834     75 1510 M (interrupted. ISs use an SV as an interface to the SS to)[10 23 12 23 14 14 23 23 12 23 23 12 14 14 12 28 20 14 23 20 23 14 23 23 14 28 28 15 23 20 15 23
2835     23 15 10 23 12 23 14 13 23 21 23 15 12 23 15 12 23 23 15 28 28 15 12 0]xS
2836     75 1558 M (indicate that they require service; we call this SV the)[10 23 23 10 21 23 12 23 20 12 23 23 12 20 12 23 23 21 20 14 23 23 23 10 14 23 20 20 23 14 23 10
2837     21 23 12 21 29 23 21 21 23 10 10 21 12 23 10 20 21 28 28 21 12 23 0]xS
2838     75 1606 M (RSSV \()[30 28 28 28 19 0]xS
2839     F2S2A Ji
2840     222 1606 M (r)S
2841     F0S2A Ji
2842     236 1606 M (equesting )[23 23 23 23 20 12 10 23 23 0]xS
2843     F2S2A Ji
2844     436 1606 M (s)S
2845     F0S2A Ji
2846     457 1606 M (ervice SV\). At any time when no)[23 14 23 10 21 23 20 28 28 14 12 20 20 28 12 20 23 23 21 20 12 10 36 23 20 29 23 23 23 20 23 0]xS
2847     75 1655 M (ISs are asserting an RSSV, the SS may enter a critical)[12 28 20 15 23 14 23 15 23 20 20 23 14 12 10 23 23 15 23 23 16 30 28 28 28 12 16 12 23 23 16 28
2848     28 16 36 23 21 16 23 23 12 23 14 16 23 16 21 14 10 12 10 21 23 0]xS
2849     75 1703 M (section \(CS\), which is a series of instructions executed)[20 23 21 12 10 23 23 16 14 30 28 14 12 16 29 23 10 21 23 17 10 20 17 23 17 20 23 14 10 23 20 17
2850     23 13 17 10 23 20 12 14 23 21 12 10 23 23 20 17 23 22 23 21 23 12 23 0]xS
2851     75 1751 M (with interrupts disabled. During a critical section, the)[29 10 12 23 20 10 23 12 23 14 14 23 23 12 20 20 23 10 20 23 23 10 23 23 12 21 21 30 23 14 10 23
2852     23 21 23 21 21 14 10 12 10 21 23 10 21 20 23 21 12 10 23 23 12 21 12 23 0]xS
2853     75 1799 M (software may not enter an ISR. Once the SS begins)[20 23 13 12 29 23 14 23 19 36 23 21 19 23 23 12 19 23 23 12 23 14 19 23 23 20 12 28 30 12 20 20
2854     33 23 21 23 20 12 23 23 20 28 28 20 23 23 23 10 23 0]xS
2855     75 1847 M (executing an ISR, another ISR may not begin execution)[23 22 23 21 23 12 10 23 23 13 23 23 14 12 28 30 12 14 23 23 23 12 23 23 14 14 12 28 30 14 36 23
2856     21 14 23 23 12 14 23 23 23 10 23 14 23 22 23 21 23 12 10 23 0]xS
2857     75 1895 M (until the SS returns to the RTPI configuration. We refer)[23 23 12 10 10 13 12 23 23 13 28 28 13 14 23 12 23 14 23 20 13 12 23 13 12 23 23 14 30 26 28 12
2858     14 21 23 23 13 10 23 23 14 23 12 10 23 23 12 14 14 42 23 14 14 23 13 23 0]xS
2859     75 1943 M (to an ISR which must run to completion as an )[12 23 19 23 23 19 12 28 30 19 29 23 10 21 23 19 36 23 20 12 19 14 23 23 19 12 23 19 21 23 36 23
2860     10 23 12 10 23 23 19 23 20 19 23 23 0]xS
2861     F2S2A Ji
2862     1002 1943 M (atomic)[23 12 23 35 9 0]xS
2863     F0S2A Ji
2864     75 1992 M (ISR. Non-atomic ISRs are treated as an exceptional)[12 28 30 12 21 21 30 23 23 14 23 12 23 36 10 21 21 12 28 30 20 21 23 14 23 21 12 14 23 23 12 23
2865     23 22 23 20 22 23 23 22 23 22 21 23 23 12 10 23 23 23 0]xS
2866     75 2040 M (case and discussed seperately.)[21 23 20 23 12 23 23 23 12 23 10 20 21 23 20 20 23 23 12 20 23 23 23 14 23 12 23 10 21 0]xS
2867     75 2138 M (Figure )[26 10 23 23 14 23 0]xS
2868     211 2138 M (2)S
2869     234 2138 M ( shows that a CS may be entered at any time)[17 20 23 23 29 20 17 12 23 23 12 17 23 17 30 28 17 36 23 21 18 23 23 18 23 23 12 23 14 23 23 18
2870     23 12 18 23 23 21 18 12 10 36 0]xS
2871     75 2186 M (when no IS is asserting its RSSV. The guard on entry to)[29 23 23 23 12 23 23 12 12 28 12 10 20 12 23 20 20 23 14 12 10 23 23 12 10 12 20 12 30 28 28 28
2872     12 12 12 26 23 23 13 23 23 23 14 23 13 23 23 13 23 23 12 14 21 13 12 0]xS
2873     75 2234 M (the CS will reflect this aspect of a practical system\227)[12 23 23 20 30 28 20 29 10 10 10 20 14 23 13 10 23 21 12 20 12 23 10 20 20 23 20 23 23 21 12 20
2874     23 13 20 23 21 23 14 23 21 12 10 21 23 10 21 20 21 20 12 23 36 0]xS
2875     75 2282 M (microprocessor hardware is almost always designed so)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 17 23 23 14 23 29 23 14 23 17 10 20 17 23 10 36 23 20
2876     12 17 23 10 29 23 21 20 17 23 23 20 10 23 23 23 23 17 20 0]xS
2877     75 2330 M (that if multiple interrupts are pending, no non-ISR)[12 23 23 12 31 10 13 31 36 23 10 12 10 23 10 23 31 10 23 12 23 14 14 23 23 12 20 31 23 14 23 31
2878     23 23 23 23 10 23 23 12 31 23 23 31 23 23 23 14 12 28 0]xS
2879     75 2378 M (instruction will be executed until no interrupt is pending.)[10 23 20 12 14 23 21 12 10 23 23 14 29 10 10 10 14 23 23 14 23 22 23 21 23 12 23 23 14 23 23 12
2880     10 10 15 23 23 15 10 23 12 23 14 14 23 23 12 15 10 20 15 23 23 23 23 10 23 23 0]xS
2881     75 2429 M (In the figure, the CS guard contains an event )[12 23 12 12 23 23 12 13 10 23 23 14 23 12 12 12 23 23 12 30 28 13 23 23 23 14 23 13 21 23 23 12
2882     23 10 23 20 13 23 23 13 23 23 23 23 12 0]xS
2883     F4S2A Ji
2884     926 2429 M (s)S
2885     F0S2A Ji
2886     951 2429 M (, which is)[12 13 29 23 10 21 23 13 10 0]xS
2887     : N 926 2434 24 2 rp C
2888     L ; 75 2477 M (an input event from the environment. This denotes that)[23 23 13 10 23 23 23 12 13 23 23 23 23 12 14 13 14 23 36 14 12 23 23 14 23 23 23 10 14 23 23 36
2889     23 23 12 12 14 14 26 23 10 20 14 23 23 23 23 12 23 20 14 12 23 23 0]xS
2890     75 2525 M (the CS may or may not be entered when no IS RSSV is)[12 23 23 13 30 28 13 36 23 21 13 23 14 13 36 23 21 14 23 23 12 14 23 23 14 23 23 12 23 14 23 23
2891     14 29 23 23 23 14 23 23 14 12 28 14 30 28 28 28 14 10 0]xS
2892     75 2576 M (pending. In other words, )[23 23 23 23 10 23 23 12 16 16 12 23 16 23 12 23 23 14 16 29 23 14 23 20 12 0]xS
2893     F4S2A Ji
2894     566 2576 M (s)S
2895     F0S2A Ji
2896     591 2576 M ( is a shorthand for an event)[16 10 20 16 23 16 20 23 23 14 12 23 23 23 23 16 13 23 14 16 23 23 17 23 23 23 23 0]xS
2897     : N 566 2581 24 2 rp C
2898     L ; 75 2624 M (which may occur at an arbitrary time.)[29 23 10 21 23 12 36 23 21 12 23 21 21 23 14 12 23 12 12 23 23 12 23 14 23 10 12 14 23 14 21 12
2899     12 10 36 23 0]xS
2900     75 2722 M (For our modeling, we assume that the execution time of)[26 23 14 13 23 23 14 13 36 23 23 23 10 10 23 23 12 13 29 23 13 23 20 20 23 36 23 14 12 23 23 12
2901     14 12 23 23 14 23 22 23 21 23 12 10 23 23 14 12 10 36 23 14 23 0]xS
2902     75 2770 M (the CS may be in a certain range, with the lower bound)[12 23 23 14 30 28 14 36 23 21 14 23 23 15 10 23 15 23 15 21 23 14 12 23 10 23 15 14 23 23 23 23
2903     12 15 29 10 12 23 15 12 23 23 15 10 23 29 23 14 15 23 23 23 23 0]xS
2904     75 2818 M (derived from the shortest CS in the SS, and the upper)[23 23 14 10 23 23 23 17 13 14 23 36 17 12 23 23 17 20 23 23 14 12 23 20 12 17 30 28 17 10 23 17
2905     12 23 23 17 28 28 12 17 23 23 23 17 12 23 23 17 23 23 23 23 0]xS
2906     75 2866 M (bound derived from the longest CS in the SS. We are)[23 23 23 23 23 16 23 23 14 10 23 23 23 16 13 14 23 36 16 12 23 23 16 10 23 23 23 23 20 12 16 30
2907     28 16 10 23 16 12 23 23 16 28 28 12 16 16 42 23 16 23 14 0]xS
2908     75 2914 M (not confident that it is adequate to model the CS as the)[23 23 12 14 21 23 23 13 10 23 23 23 12 14 12 23 23 12 14 10 12 14 10 20 14 23 23 23 23 23 23 12
2909     23 14 12 23 15 36 23 23 23 10 15 12 23 23 15 30 28 15 23 20 15 12 23 0]xS
2910     75 2962 M (longest CS in the SS \(that is, replacing )[10 23 23 23 23 20 12 12 30 28 12 10 23 12 12 23 23 13 28 28 13 14 12 23 23 12 13 10 20 12 13 14
2911     23 23 10 23 21 10 23 23 0]xS
2912     F2S2A Ji
2913     811 2962 M (t=nondet\(L,U\))[12 25 23 23 23 23 23 12 14 23 12 30 0]xS
2914     F0S2A Ji
2915     1068 2962 M ( by)[13 23 0]xS
2916     F2S2A Ji
2917     75 3011 M (t=U)[12 25 0]xS
2918     F0S2A Ji
2919     142 3011 M (\), as we have found counterintuitive examples in our)[14 12 13 23 20 13 29 23 13 23 23 23 23 13 13 23 23 23 23 13 21 23 23 23 12 23 14 10 23 12 23 10
2920     12 10 23 23 14 23 22 23 36 23 10 23 20 14 10 23 14 23 23 0]xS
2921     75 3060 M (modeling where a longer CS delays the start of)[36 23 23 23 10 10 23 23 34 29 23 23 14 23 34 23 34 10 23 23 23 23 14 34 30 28 34 23 23 10 23 21
2922     20 35 12 23 23 35 20 12 23 14 12 35 23 0]xS
2923     1275 156 M (execution of a lower-priority ISR until a higher-priority)[23 22 23 21 23 12 10 23 23 20 23 13 20 23 20 10 23 29 23 14 14 23 14 10 23 14 10 12 21 20 12 28
2924     30 21 23 23 12 10 10 21 23 21 23 10 23 23 23 14 14 23 14 10 23 14 10 12 0]xS
2925     1275 204 M (ISR also becomes pending, and hence )[12 28 30 23 23 10 20 23 23 23 23 21 23 36 23 20 23 23 23 23 23 10 23 23 12 23 23 23 23 24 23 23
2926     23 21 23 0]xS
2927     F2S2A Ji
2928     2072 204 M (avoids)[23 21 23 9 23 0]xS
2929     F0S2A Ji
2930     2192 204 M ( rather)[24 14 23 12 23 23 0]xS
2931     1275 253 M (than aggravates an AIL violation \(for the higher-priority)[12 23 23 23 16 23 23 23 14 23 23 23 12 23 20 16 23 23 17 28 12 23 17 23 10 23 10 23 12 10 23 23
2932     17 14 13 23 14 17 12 23 23 17 23 10 23 23 23 14 14 23 14 10 23 14 10 12 0]xS
2933     1275 301 M (ISR\). We believe it may be possible to accidentally)[12 28 30 14 12 22 22 42 23 22 23 23 10 10 23 23 23 22 10 12 22 36 23 21 22 23 23 22 23 23 20 20
2934     10 23 10 23 22 12 23 23 23 21 21 10 23 23 23 12 23 10 10 0]xS
2935     1275 349 M (construct a practical system where the system may)[21 23 23 20 12 14 23 21 12 26 23 26 23 14 23 21 12 10 21 23 10 27 20 21 20 12 23 36 27 29 23 23
2936     14 23 27 12 23 23 27 20 21 20 12 23 36 27 36 23 0]xS
2937     1275 397 M (violate its AIL requirements with a shorter CS but may)[23 10 23 10 23 12 23 17 10 12 20 17 28 12 23 17 14 23 23 23 10 14 23 36 23 23 12 20 17 29 10 12
2938     23 17 23 17 20 23 23 14 12 23 14 17 30 28 18 23 23 12 18 36 23 0]xS
2939     1275 445 M (not violate its AIL requirements with a longer CS. This)[23 23 12 15 23 10 23 10 23 12 23 15 10 12 20 15 28 12 23 16 14 23 23 23 10 14 23 36 23 23 12 20
2940     16 29 10 12 23 16 23 16 10 23 23 23 23 14 16 30 28 12 16 16 26 23 10 0]xS
2941     1275 493 M (requires further investigation. Assuming that the CS)[14 23 23 23 10 14 23 20 23 13 23 14 12 23 23 14 23 10 23 23 23 20 12 10 23 23 12 10 23 23 12 23
2942     23 28 20 20 23 36 10 23 23 23 12 23 23 12 23 12 23 23 24 30 0]xS
2943     1275 541 M (execution time falls into a range circumvents this)[23 22 23 21 23 12 10 23 23 32 12 10 36 23 32 13 23 10 10 20 32 10 23 12 23 32 23 32 14 23 23 23
2944     23 32 21 10 14 21 23 36 23 23 23 12 20 33 12 23 10 0]xS
2945     1275 589 M (uncertainty)[23 23 21 23 14 12 23 10 23 12 0]xS
2946     F0S1B Ji
2947     1480 568 M (7)S
2948     F0S2A Ji
2949     1495 589 M (.)S
2950     : N 1281 748 736 85 rp C
2951     1 1 1 1 scol L ; N 1280 747 M 1280 834 I 2018 834 I 2018 747 I 1280 747 I 1281 749 I 2018 749 I 2016 748 I 2016 833 I 2018 831 I 1281 831 I 1282 833 I 1282 748 I 1281 749 I 1280 747 I C
2952     L /F0S21YFFFFFFE5 F0 [33.996 0 0 -26.074 0 0 ] mFS
2953     F0S21YFFFFFFE5 Ji
2954     1645 803 M (RTPI)[18 16 18 0]xS
2955     : N 1322 900 116 73 rp C
2956     1 1 1 1 scol L ; N 1322 899 M 1322 974 I 1439 974 I 1439 899 I 1322 899 I 1322 902 I 1439 902 I 1437 900 I 1437 973 I 1439 971 I 1322 971 I 1324 973 I 1324 900 I 1322 902 I 1322 899 I C
2957     L 1353 949 M (ISR)[11 14 0]xS
2958     /F0S13YFFFFFFF0 F0 [19.68 0 0 -15.012 0 0 ] mFS
2959     F0S13YFFFFFFF0 Ji
2960     1396 947 M (1)S
2961     N 1380 833 M 1380 898 I 1383 898 I 1383 833 I 1380 833 I C
2962     L N 1385 891 M 1382 898 I 1379 891 I 1385 891 I C
2963     O N 1385 892 M 1383 890 I 1380 897 I 1383 897 I 1380 890 I 1379 892 I 1385 892 I 1387 889 I 1376 889 I 1382 901 I 1387 889 I 1385 892 I C
2964     L N 1378 973 M 1378 1008 I 1379 1007 I 1303 1007 I 1304 1008 I 1304 833 I 1301 833 I 1302 1009 I 1380 1009 I 1381 973 I 1378 973 I C
2965     L N 1299 840 M 1303 833 I 1306 840 I 1299 840 I C
2966     O N 1299 838 M 1300 841 I 1304 834 I 1301 834 I 1304 841 I 1306 838 I 1299 838 I 1296 842 I 1308 842 I 1303 830 I 1296 842 I 1299 838 I C
2967     L : N 1492 902 117 74 rp C
2968     1 1 1 1 scol L ; N 1491 902 M 1491 977 I 1610 977 I 1610 902 I 1491 902 I 1492 904 I 1609 904 I 1608 902 I 1608 976 I 1609 974 I 1492 974 I 1494 976 I 1494 902 I 1492 904 I 1491 902 I C
2969     L F0S21YFFFFFFE5 Ji
2970     1524 952 M (ISR)[10 14 0]xS
2971     /F0S11YFFFFFFF2 F0 [17.891 0 0 -13.43 0 0 ] mFS
2972     F0S11YFFFFFFF2 Ji
2973     1567 949 M (2)S
2974     N 1550 832 M 1550 900 I 1553 900 I 1553 832 I 1550 832 I C
2975     L N 1555 894 M 1552 900 I 1548 894 I 1555 894 I C
2976     O N 1555 895 M 1553 893 I 1550 899 I 1553 899 I 1550 893 I 1548 895 I 1555 895 I 1557 892 I 1546 892 I 1552 903 I 1557 892 I 1555 895 I C
2977     L N 1548 976 M 1548 1012 I 1550 1010 I 1473 1010 I 1474 1012 I 1474 834 I 1471 834 I 1472 1012 I 1551 1012 I 1552 976 I 1548 976 I C
2978     L N 1469 840 M 1473 834 I 1476 840 I 1469 840 I C
2979     O N 1469 838 M 1470 841 I 1474 835 I 1471 835 I 1475 841 I 1476 838 I 1469 838 I 1466 842 I 1479 842 I 1473 831 I 1466 842 I 1469 838 I C
2980     L : N 1773 902 116 74 rp C
2981     1 1 1 1 scol L ; N 1772 902 M 1772 977 I 1890 977 I 1890 902 I 1772 902 I 1773 904 I 1890 904 I 1888 902 I 1888 976 I 1890 974 I 1773 974 I 1774 976 I 1774 902 I 1773 904 I 1772 902 I C
2982     L F0S21YFFFFFFE5 Ji
2983     1803 952 M (ISR)[10 14 0]xS
2984     F0S11YFFFFFFF2 Ji
2985     1846 949 M (N)S
2986     N 1830 833 M 1830 901 I 1833 901 I 1833 833 I 1830 833 I C
2987     L N 1835 894 M 1832 901 I 1829 894 I 1835 894 I C
2988     O N 1835 895 M 1833 893 I 1830 900 I 1833 900 I 1830 893 I 1829 895 I 1835 895 I 1837 892 I 1826 892 I 1832 904 I 1837 892 I 1835 895 I C
2989     L N 1829 976 M 1829 1012 I 1830 1010 I 1753 1010 I 1755 1012 I 1755 834 I 1751 834 I 1752 1012 I 1831 1012 I 1832 976 I 1829 976 I C
2990     L N 1749 840 M 1753 834 I 1757 840 I 1749 840 I C
2991     O N 1749 838 M 1751 841 I 1755 835 I 1751 835 I 1755 841 I 1757 838 I 1749 838 I 1747 842 I 1759 842 I 1753 831 I 1747 842 I 1749 838 I C
2992     L : N 1935 902 116 122 rp C
2993     1 1 1 1 scol L ; N 1934 902 M 1934 1025 I 2052 1025 I 2052 902 I 1934 902 I 1935 904 I 2051 904 I 2050 902 I 2050 1024 I 2051 1023 I 1935 1023 I 1936 1024 I 1936 902 I 1935 904 I 1934 902 I C
2994     L F0S21YFFFFFFE5 Ji
2995     1976 961 M (CS)[19 0]xS
2996     1955 993 M (t'=-1)[11 10 25 10 0]xS
2997     N 1992 832 M 1992 900 I 1995 900 I 1995 832 I 1992 832 I C
2998     L N 1997 894 M 1994 900 I 1991 894 I 1997 894 I C
2999     O N 1997 895 M 1995 893 I 1992 899 I 1995 899 I 1992 893 I 1991 895 I 1997 895 I 1999 892 I 1988 892 I 1994 903 I 1999 892 I 1997 895 I C
3000     L N 1991 1024 M 1991 1072 I 1992 1070 I 1915 1070 I 1916 1072 I 1916 834 I 1913 834 I 1914 1072 I 1993 1072 I 1994 1024 I 1991 1024 I C
3001     L N 1911 840 M 1915 834 I 1919 840 I 1911 840 I C
3002     O N 1911 838 M 1912 841 I 1916 835 I 1913 835 I 1917 841 I 1919 838 I 1911 838 I 1909 842 I 1921 842 I 1915 831 I 1909 842 I 1911 838 I C
3003     L /F1S46YFFFFFFC4 F1 [70.973 0 0 -59.262 0 0 ] mFS
3004     F1S46YFFFFFFC4 Ji
3005     1647 946 M (...)[22 22 0]xS
3006     F0S21YFFFFFFE5 Ji
3007     1382 875 M (G)S
3008     F0S11YFFFFFFF2 Ji
3009     1403 874 M (1)S
3010     F0S21YFFFFFFE5 Ji
3011     1553 877 M (G)S
3012     F0S11YFFFFFFF2 Ji
3013     1574 875 M (2)S
3014     F0S21YFFFFFFE5 Ji
3015     1837 881 M (G)S
3016     F0S11YFFFFFFF2 Ji
3017     1857 879 M (N)S
3018     : 1970 1072 56 28 rc F0S21YFFFFFFE5 Ji
3019     1970 1097 M (t<0)[11 26 0]xS
3020     ; F0S21YFFFFFFE5 Ji
3021     2002 887 M (t=randam\(L,U\))[11 25 11 14 15 15 14 23 13 15 10 21 0]xS
3022     /F4S1A F4 [26.148 0 0 -26.148 0 0 ] mFS
3023     F4S1A Ji
3024     1999 857 M (s)S
3025     /F0S1A F0 [26.148 0 0 -26.148 0 0 ] mFS
3026     F0S1A Ji
3027     2014 858 M ( )S
3028     F4S1A Ji
3029     2022 857 M <D9>S
3030     F0S1A Ji
3031     2038 858 M ( )S
3032     F4S1A Ji
3033     2046 857 M <D8>S
3034     F0S1A Ji
3035     2065 858 M (G)S
3036     : 2085 844 11 20 rc /F0S11 F0 [17.953 0 0 -17.953 0 0 ] mFS
3037     F0S11 Ji
3038     2085 861 M (1)S
3039     ; 2095 858 M ( )S
3040     F4S1A Ji
3041     2103 857 M <D9>S
3042     F0S1A Ji
3043     2119 858 M ( )S
3044     F4S1A Ji
3045     2127 857 M <D8>S
3046     F0S1A Ji
3047     2146 858 M (G)S
3048     : 2166 844 11 20 rc F0S11 Ji
3049     2166 861 M (2)S
3050     ; 2176 858 M ( )S
3051     F4S1A Ji
3052     2184 857 M <D9>S
3053     F0S1A Ji
3054     2200 858 M ( \205 )[8 26 0]xS
3055     F4S1A Ji
3056     2241 857 M <D9>S
3057     F0S1A Ji
3058     2258 858 M ( )S
3059     F4S1A Ji
3060     2265 857 M <D8>S
3061     F0S1A Ji
3062     2284 858 M (G)S
3063     : 2305 844 13 20 rc F0S11 Ji
3064     2305 861 M (N)S
3065     ; : N 1999 860 15 1 rp C
3066     L ; F1S2A Ji
3067     1381 1190 M (Figure )[26 12 26 26 16 23 0]xS
3068     1522 1190 M (2)S
3069     1545 1190 M (: EHM Model Of Software System)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 28 26 14 14 33 23 16 23 12 28 23 23 14 23 0]xS
3070     F0S2A Ji
3071     1275 1289 M (IS EHMs signal the SS EHM that an interrupt is asserted)[12 28 12 28 30 35 20 12 20 10 23 23 23 10 12 12 23 23 12 28 28 12 28 30 35 12 12 23 23 12 12 23
3072     23 13 10 23 12 23 14 14 23 23 12 13 10 20 13 23 20 20 23 14 12 23 0]xS
3073     1275 1337 M (through the RSSV belonging to the IS. If the RSSV is)[12 23 14 23 23 23 23 16 12 23 23 16 30 28 28 28 16 23 23 10 23 23 23 10 23 23 17 12 23 17 12 23
3074     23 17 12 28 12 17 17 12 13 17 12 23 23 17 30 28 28 28 17 10 0]xS
3075     1275 1385 M (set to indicate that the IS requires service, the guard of)[20 23 12 15 12 23 15 10 23 23 10 21 23 12 23 15 12 23 23 12 15 12 23 23 15 12 28 15 14 23 23 23
3076     10 14 23 20 15 20 23 14 23 10 21 23 12 15 12 23 23 15 23 23 23 14 23 16 23 0]xS
3077     1275 1433 M (the transition leaving RTPI will be chosen to allow the)[12 23 23 18 12 14 23 23 20 10 12 10 23 23 18 10 23 23 23 10 23 23 18 30 26 28 12 18 29 10 10 10
3078     18 23 23 18 21 23 23 20 23 23 19 12 23 19 23 10 10 23 29 19 12 23 0]xS
3079     1275 1481 M (SS EHM to enter the appropriate ISR.)[28 28 12 28 30 35 12 12 23 12 23 23 12 23 14 12 12 23 23 12 23 23 23 14 23 23 14 10 23 12 23 12
3080     12 28 30 0]xS
3081     1275 1579 M (In a microprocessor system, the digital hardware)[12 23 37 23 37 36 10 21 14 23 23 14 23 21 23 20 20 23 14 37 20 21 20 12 23 36 12 37 12 23 23 37
3082     23 10 23 10 12 23 10 37 23 23 14 23 29 23 14 0]xS
3083     1275 1627 M (assigns priorities. If multiple ISs require service when)[23 20 20 10 23 23 20 18 23 14 10 23 14 10 12 10 23 20 12 18 18 12 13 18 36 23 10 12 10 23 10 23
3084     18 12 28 20 18 14 23 23 23 10 14 23 19 20 23 14 23 10 21 23 19 29 23 23 0]xS
3085     1275 1675 M (the SS becomes RTPI, the ISR to be entered is chosen)[12 23 23 14 28 28 14 23 23 21 23 36 23 20 14 30 26 28 12 12 14 12 23 23 15 12 28 30 15 12 23 15
3086     23 23 15 23 23 12 23 14 23 23 15 10 20 15 21 23 23 20 23 0]xS
3087     1275 1723 M (using a fixed priority scheme. This behavior can be)[23 20 10 23 23 22 23 22 13 10 22 23 23 22 23 14 10 23 14 10 12 21 22 20 21 23 23 36 23 12 22 22
3088     26 23 10 20 22 23 23 23 23 23 10 23 14 22 21 23 23 22 23 0]xS
3089     1275 1771 M (captured in the SS EHM by choosing the guards so that)[21 23 23 12 23 14 23 23 14 10 23 14 12 23 23 14 28 28 14 28 30 35 14 23 21 14 21 23 23 23 20 10
3090     23 23 14 12 23 23 14 23 23 23 14 23 20 14 20 23 15 12 23 23 0]xS
3091     1275 1819 M (a lower-priority ISR cannot be entered while any higher-)[23 14 10 23 29 23 14 14 23 14 10 23 14 10 12 21 14 12 28 30 14 21 23 23 23 23 12 14 23 23 14 23
3092     23 12 23 14 23 23 14 29 23 10 10 23 14 23 23 21 15 23 10 23 23 23 14 0]xS
3093     1275 1867 M (priority IS requires service.)[23 14 10 23 14 10 12 21 12 12 28 12 14 23 23 23 10 14 23 20 12 20 23 14 23 10 21 23 0]xS
3094     1275 1965 M (To illustrate the modeling of priority resolution in)[26 23 34 10 10 10 23 20 12 14 23 12 23 34 12 23 23 34 36 23 23 23 10 10 23 23 34 23 13 34 23 14
3095     10 23 14 10 12 21 34 14 23 20 23 10 23 12 10 23 23 34 10 0]xS
3096     1275 2013 M (hardware, consider a system with three ISs, each with)[23 23 14 23 29 23 14 23 12 18 21 23 23 20 10 23 23 14 18 23 18 20 21 20 12 23 36 19 29 10 12 23
3097     19 12 23 14 23 23 19 12 28 20 12 19 23 23 21 23 19 29 10 12 0]xS
3098     1275 2061 M (an associated ISR. Assume that IS)[23 23 21 23 20 20 23 21 10 23 12 23 23 21 12 28 30 12 21 21 28 20 20 23 36 23 21 12 23 23 12 21
3099     12 0]xS
3100     F0S1B Ji
3101     1987 2067 M (1)S
3102     F0S2A Ji
3103     2002 2061 M ( has the highest)[21 23 23 20 22 12 23 23 22 23 10 23 23 23 20 0]xS
3104     1275 2109 M (priority, followed by IS)[23 14 10 23 14 10 12 21 12 27 13 23 10 10 23 29 23 23 27 23 21 27 12 0]xS
3105     F0S1B Ji
3106     1733 2115 M (2)S
3107     F0S2A Ji
3108     1748 2109 M ( and then IS)[27 23 23 23 27 12 23 23 23 27 12 0]xS
3109     F0S1B Ji
3110     2019 2115 M (3)S
3111     F0S2A Ji
3112     2034 2109 M (; and that the)[12 27 23 23 23 27 12 23 23 12 28 12 23 0]xS
3113     1275 2157 M (semantics of the RSSVs require a value of zero if no)[20 23 36 23 23 12 10 21 20 19 23 13 19 12 23 23 19 30 28 28 28 20 19 14 23 23 23 10 14 23 19 23
3114     19 23 23 10 23 23 19 23 13 20 21 23 14 23 20 10 13 20 23 0]xS
3115     1275 2205 M (service is required, and a value greater than zero if)[20 23 14 23 10 21 23 23 10 20 23 14 23 23 23 10 14 23 23 12 23 23 23 23 23 23 23 23 23 10 23 23
3116     23 23 14 23 23 12 23 14 24 12 23 23 23 24 21 23 14 23 24 10 0]xS
3117     1275 2253 M (service is required. For this example, suitable guards)[20 23 14 23 10 21 23 18 10 20 19 14 23 23 23 10 14 23 23 12 19 19 26 23 14 19 12 23 10 20 19 23
3118     22 23 36 23 10 23 12 19 20 23 10 12 23 23 10 23 19 23 23 23 14 23 0]xS
3119     1275 2301 M (are shown below.)[23 14 23 12 20 23 23 29 23 12 23 23 10 23 29 0]xS
3120     1350 2399 M (G)S
3121     F0S1B Ji
3122     1383 2405 M (1)S
3123     F0S2A Ji
3124     1398 2399 M (:)S
3125     1425 2399 M (RSSV)[30 28 28 0]xS
3126     F0S1B Ji
3127     1539 2405 M (1)S
3128     F0S2A Ji
3129     1554 2399 M ( > 0)[12 25 12 0]xS
3130     1350 2450 M (G)S
3131     F0S1B Ji
3132     1383 2456 M (2)S
3133     F0S2A Ji
3134     1398 2450 M (:)S
3135     1425 2450 M (RSSV)[30 28 28 0]xS
3136     F0S1B Ji
3137     1539 2456 M (2)S
3138     F0S2A Ji
3139     1554 2450 M ( > 0 )[12 25 12 23 0]xS
3140     F4S2A Ji
3141     1638 2450 M <D9>S
3142     F0S2A Ji
3143     1664 2450 M ( RSSV)[12 30 28 28 0]xS
3144     F0S1B Ji
3145     1790 2456 M (1)S
3146     F0S2A Ji
3147     1805 2450 M ( )S
3148     F4S2A Ji
3149     1817 2450 M <A3>S
3150     F0S2A Ji
3151     1840 2450 M ( 0)[12 0]xS
3152     1350 2501 M (G)S
3153     F0S1B Ji
3154     1383 2507 M (3)S
3155     F0S2A Ji
3156     1398 2501 M (:)S
3157     1425 2501 M (RSSV)[30 28 28 0]xS
3158     F0S1B Ji
3159     1539 2507 M (3)S
3160     F0S2A Ji
3161     1554 2501 M ( > 0 )[12 25 12 23 0]xS
3162     F4S2A Ji
3163     1638 2501 M <D9>S
3164     F0S2A Ji
3165     1664 2501 M ( RSSV)[12 30 28 28 0]xS
3166     F0S1B Ji
3167     1790 2507 M (2)S
3168     F0S2A Ji
3169     1805 2501 M ( )S
3170     F4S2A Ji
3171     1817 2501 M <A3>S
3172     F0S2A Ji
3173     1840 2501 M ( 0 )[12 23 0]xS
3174     F4S2A Ji
3175     1887 2501 M <D9>S
3176     F0S2A Ji
3177     1913 2501 M ( RSSV)[12 30 28 28 0]xS
3178     F0S1B Ji
3179     2039 2507 M (1)S
3180     F0S2A Ji
3181     2054 2501 M ( )S
3182     F4S2A Ji
3183     2066 2501 M <A3>S
3184     F0S2A Ji
3185     2089 2501 M ( 0)[12 0]xS
3186     1275 2599 M (This strategy for the construction of guards can be)[26 23 10 20 26 20 12 14 23 12 23 23 21 27 13 23 14 27 12 23 23 27 21 23 23 20 12 14 23 21 12 10
3187     23 23 27 23 13 27 23 23 23 14 23 20 27 21 23 23 27 23 0]xS
3188     1275 2647 M (extended indefinitely.)[23 22 12 23 23 23 23 23 12 10 23 23 23 13 10 23 10 12 23 10 21 0]xS
3189     1275 2772 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3190     1635 2772 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3191     : N 1275 2761 600 2 rp C
3192     L ; F0S1B Ji
3193     1275 2799 M (7)S
3194     F0S2A Ji
3195     1290 2820 M ( Our uncertainty lies with the nature of practical)[12 33 23 14 12 23 23 21 23 14 12 23 10 23 12 21 12 10 10 23 20 12 29 10 12 23 12 12 23 23 12 23
3196     23 12 23 14 23 12 23 13 12 23 14 23 21 12 10 21 23 0]xS
3197     1275 2868 M (systems rather than with the nature of the mathematical)[20 21 20 12 23 36 20 12 14 23 12 23 23 14 12 12 23 23 23 12 29 10 12 23 12 12 23 23 12 23 23 12
3198     23 14 23 12 23 13 12 12 23 23 12 36 23 12 23 23 36 23 12 10 21 23 0]xS
3199     1275 2916 M (framework. We know it is possible to model such a)[13 14 23 36 23 29 23 14 21 12 12 12 42 23 12 21 23 23 29 12 10 12 12 10 20 12 23 23 20 20 10 23
3200     10 23 12 12 23 12 36 23 23 23 10 12 20 23 21 23 12 0]xS
3201     1275 2964 M (system within the hybrid system framework, but we are)[20 21 20 12 23 36 12 29 10 12 23 10 23 12 12 23 23 12 23 21 23 14 10 23 12 20 21 20 12 23 36 12
3202     13 14 23 36 23 29 23 14 21 12 12 23 23 12 12 29 23 12 23 14 0]xS
3203     1275 3012 M (uncertain if any practical system would have this)[23 23 21 23 14 12 23 10 23 12 10 13 12 23 23 21 12 23 14 23 21 12 10 21 23 10 12 20 21 20 12 23
3204     36 12 29 23 23 10 23 12 23 23 23 23 12 12 23 10 0]xS
3205     1275 3060 M (characteristic.)[21 23 23 14 23 21 12 23 14 10 20 12 10 21 0]xS
3206     LH
3207     (%%[Page: 6]%%) =
3208     %%PageTrailer
3209    
3210     %%Page: 7 7
3211     %%PageBoundingBox: 18 8 593 784
3212     %%EndPageComments
3213     %%BeginPageSetup
3214     /DeviceRGB dup setcolorspace /colspABC exch def
3215     mysetup concat colspRefresh
3216     %%EndPageSetup
3217    
3218     0 0 0 1 scol 1185 3158 M (7)S
3219     75 156 M (Figure )[26 10 23 23 14 23 0]xS
3220     224 156 M (2)S
3221     247 156 M ( is diagrammatic only, to show the major)[30 10 20 30 23 10 23 23 14 23 36 36 23 12 10 21 30 23 23 10 21 12 30 12 23 30 20 23 23 29 30 12
3222     23 23 31 36 23 10 23 0]xS
3223     75 204 M (features of the SS EHM. In Figure )[13 23 23 12 23 14 23 20 20 23 13 20 12 23 23 20 28 28 20 28 30 35 12 20 21 12 23 21 26 10 23 23
3224     14 23 0]xS
3225     798 204 M (2)S
3226     821 204 M (, the rectangles)[12 21 12 23 23 21 14 23 21 12 23 23 23 10 23 0]xS
3227     75 252 M (labeled as ISRs represent the bodies of the ISRs\227in a)[10 23 23 23 10 23 23 16 23 20 16 12 28 30 20 16 14 23 23 14 23 20 23 23 12 16 12 23 23 16 23 23
3228     23 10 23 20 16 23 13 16 12 23 23 16 12 28 30 20 42 10 23 17 0]xS
3229     75 300 M (practical SS model, each ISR may entail high)[23 14 23 21 12 10 21 23 10 41 28 28 41 36 23 23 23 10 12 41 23 23 21 23 41 12 28 30 42 36 23 21
3230     42 23 23 12 23 10 10 42 23 10 23 0]xS
3231     75 348 M (complexity and consist of at least several)[21 23 36 23 10 23 22 10 12 21 59 23 23 23 59 21 23 23 20 10 20 12 59 23 13 59 23 12 60 10 23 23
3232     20 12 60 20 23 23 23 14 23 0]xS
3233     75 396 M (configurations, with multiple transitions leading back to)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 18 29 10 12 23 18 36 23 10 12 10 23 10 23 18 12 14
3234     23 23 20 10 12 10 23 23 20 18 10 23 23 23 10 23 23 18 23 23 21 21 18 12 0]xS
3235     75 444 M (RTPI.)[30 26 28 12 0]xS
3236     75 640 M (OVERVIEW OF MODELING SOURCES OF)[33 28 28 30 28 12 28 42 68 33 26 68 35 33 30 28 23 12 30 33 68 28 33 30 30 30 28 28 68 33 0]xS
3237     75 688 M (INTERRUPT)[12 30 26 28 30 30 30 28 0]xS
3238     75 786 M (Figure )[26 10 23 23 14 23 0]xS
3239     206 786 M (3)S
3240     229 786 M ( gives a diagrammatic EHM model of an IS. An)[12 23 10 23 23 20 12 23 12 23 10 23 23 14 23 36 36 23 12 10 21 13 28 30 35 13 36 23 23 23 10 13
3241     23 13 13 23 23 13 12 28 12 13 13 28 0]xS
3242     75 834 M (IS is modeled to have a unique initial configuration. The)[12 28 12 10 20 12 36 23 23 23 10 23 23 12 12 23 12 23 23 23 23 12 23 12 23 23 10 23 23 23 12 10
3243     23 10 12 10 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 13 26 23 0]xS
3244     75 882 M (configurations of an IS EHM can always be divided into)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 23 13 14 23 23 14 12 28 15 28 30 35 15 21 23 23 15
3245     23 10 29 23 21 20 15 23 23 15 23 10 23 10 23 23 23 15 10 23 12 0]xS
3246     75 930 M (three mutually exhaustive and mutually exclusive)[12 23 14 23 23 38 36 23 12 23 23 10 10 21 38 23 22 23 23 23 20 12 10 23 23 39 23 23 23 39 36 23
3247     12 23 23 10 10 21 39 23 22 21 10 23 20 10 23 0]xS
3248     75 978 M (categories:)[21 23 12 23 23 23 14 10 23 20 0]xS
3249     F4S2A Ji
3250     75 1079 M <B7>S
3251     F0S2A Ji
3252     94 1079 M ( )S
3253     150 1079 M (Configurations in which the IS does not require)[30 23 23 13 10 23 23 14 23 12 10 23 23 20 27 10 23 27 29 23 10 21 23 27 12 23 23 27 12 28 27 23
3254     23 23 20 28 23 23 12 28 14 23 23 23 10 14 0]xS
3255     150 1127 M (service.)[20 23 14 23 10 21 23 0]xS
3256     F4S2A Ji
3257     75 1178 M <B7>S
3258     F0S2A Ji
3259     94 1178 M ( )S
3260     150 1178 M (Configurations in which the IS requires service.)[30 23 23 13 10 23 23 14 23 12 10 23 23 20 12 10 23 12 29 23 10 21 23 12 12 23 23 12 12 28 12 14
3261     23 23 23 10 14 23 20 12 20 23 14 23 10 21 23 0]xS
3262     F4S2A Ji
3263     75 1229 M <B7>S
3264     F0S2A Ji
3265     94 1229 M ( )S
3266     150 1229 M (Illegal configurations.)[12 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
3267     : N 188 1933 506 107 rp C
3268     1 1 1 1 scol L ; N 187 1932 M 187 2041 I 695 2041 I 695 1932 I 187 1932 I 188 1935 I 694 1935 I 692 1933 I 692 2040 I 694 2038 I 188 2038 I 190 2040 I 190 1933 I 188 1935 I 187 1932 I C
3269     L : N 188 1682 506 107 rp C
3270     1 1 1 1 scol L ; N 187 1681 M 187 1790 I 695 1790 I 695 1681 I 187 1681 I 188 1684 I 694 1684 I 692 1682 I 692 1789 I 694 1787 I 188 1787 I 190 1789 I 190 1682 I 188 1684 I 187 1681 I C
3271     L /F4S21 F4 [33.855 0 0 -33.855 0 0 ] mFS
3272     F4S21 Ji
3273     862 1595 M (s)S
3274     : N 862 1598 20 2 rp C
3275     L ; /F0S21 F0 [33.855 0 0 -33.855 0 0 ] mFS
3276     F0S21 Ji
3277     862 1635 M (RSSV=0)[24 23 22 23 19 0]xS
3278     0 Lj 2 Lc 0 Lw : 186 1417 524 139 rc N 694 1432 M 188 1432 I 188 1540 I 694 1540 I C
3279     : 1 1 1 1 scol O ; : [ 1 0 0 1 186 1288 ] concat K
3280     ; ; : 186 1416 525 141 rc N 187 1431 M 187 1541 I 695 1541 I 695 1431 I 187 1431 I 188 1434 I 694 1434 I 692 1432 I 692 1540 I 694 1538 I 188 1538 I 190 1540 I 190 1432 I 188 1434 I 187 1431 I C
3281     : L ; : [ 1 0 0 1 186 1288 ] concat K
3282     ; ; /F0S2BYFFFFFFDF F0 [43.043 0 0 -33 0 0 ] mFS
3283     F0S2BYFFFFFFDF Ji
3284     204 1470 M (INTERRUPT_NOT_PENDING)[13 28 21 20 24 23 27 22 20 17 28 30 21 17 21 21 28 26 13 28 0]xS
3285     263 1510 M (\(Initial Configuration\))[17 12 20 10 14 9 17 10 12 24 20 20 12 10 19 19 14 17 13 10 21 19 0]xS
3286     252 1740 M (INTERRUPT_PENDING)[13 28 21 20 24 23 27 22 20 17 22 20 28 26 13 28 0]xS
3287     370 1977 M (ILLEGAL)[13 19 19 20 26 26 0]xS
3288     198 2017 M (\(Illegal Configuration, or ILC\))[17 12 10 10 17 19 16 10 12 24 21 19 13 10 18 20 14 16 14 10 20 20 12 12 20 15 12 13 19 24 0]xS
3289     : 420 1288 35 160 rc N 435 1288 M 435 1432 I 439 1432 I 439 1288 I 435 1288 I C
3290     : L ; : [ 1 0 0 1 186 1288 ] concat K
3291     ; ; N 441 1423 M 437 1432 I 433 1423 I 441 1423 I C
3292     : O ; : [ 1 0 0 1 186 1288 ] concat K
3293     ; N 441 1425 M 439 1422 I 435 1431 I 439 1431 I 435 1422 I 433 1425 I 441 1425 I 444 1421 I 430 1421 I 437 1436 I 444 1421 I 441 1425 I C
3294     : L ; : [ 1 0 0 1 186 1288 ] concat K
3295     ; 444 1363 M (RSSV=0)[23 18 18 25 33 0]xS
3296     N 438 1538 M 438 1680 I 442 1680 I 442 1538 I 438 1538 I C
3297     : L ; : [ 1 0 0 1 186 1288 ] concat K
3298     ; N 445 1672 M 440 1680 I 436 1672 I 445 1672 I C
3299     : O ; : [ 1 0 0 1 186 1288 ] concat K
3300     ; N 445 1674 M 443 1671 I 438 1679 I 442 1679 I 438 1671 I 436 1674 I 445 1674 I 448 1670 I 433 1670 I 440 1684 I 448 1670 I 445 1674 I C
3301     : L ; : [ 1 0 0 1 186 1288 ] concat K
3302     ; N 439 1788 M 439 1930 I 443 1930 I 443 1788 I 439 1788 I C
3303     : L ; : [ 1 0 0 1 186 1288 ] concat K
3304     ; N 445 1922 M 441 1930 I 437 1922 I 445 1922 I C
3305     : O ; : [ 1 0 0 1 186 1288 ] concat K
3306     ; N 445 1924 M 443 1921 I 439 1929 I 443 1929 I 439 1921 I 437 1924 I 445 1924 I 448 1920 I 434 1920 I 441 1934 I 448 1920 I 445 1924 I C
3307     : L ; : [ 1 0 0 1 186 1288 ] concat K
3308     ; 498 1604 M (G)S
3309     /F0S16YFFFFFFEF F0 [22.652 0 0 -17 0 0 ] mFS
3310     F0S16YFFFFFFEF Ji
3311     524 1601 M (1)S
3312     F0S2BYFFFFFFDF Ji
3313     447 1644 M (RSSV=1)[23 18 18 25 33 0]xS
3314     N 694 1742 M 841 1741 I 841 1485 I 698 1484 I 698 1488 I 840 1488 I 838 1486 I 838 1740 I 840 1738 I 694 1738 I 694 1742 I C
3315     : L ; : [ 1 0 0 1 186 1288 ] concat K
3316     ; N 706 1490 M 698 1486 I 706 1482 I 706 1490 I C
3317     : O ; : [ 1 0 0 1 186 1288 ] concat K
3318     ; N 704 1490 M 707 1488 I 699 1484 I 699 1488 I 707 1484 I 704 1482 I 704 1490 I 708 1493 I 708 1479 I 694 1486 I 708 1493 I 704 1490 I C
3319     : L ; : [ 1 0 0 1 186 1288 ] concat K
3320     ; 455 1876 M (G)S
3321     F0S16YFFFFFFEF Ji
3322     481 1873 M (2)S
3323     F1S2A Ji
3324     186 2134 M (Figure )[26 12 26 26 16 23 0]xS
3325     327 2134 M (3)S
3326     350 2134 M (: EHM Model Of Interrupt Source)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 12 26 14 23 16 16 26 26 14 12 28 26 26 16 23 0]xS
3327     F0S2A Ji
3328     75 2233 M (Figure )[26 10 23 23 14 23 0]xS
3329     215 2233 M (3)S
3330     238 2233 M ( shows the three categories of configurations)[21 20 23 23 29 20 21 12 23 23 22 12 23 14 23 23 22 21 23 12 23 23 23 14 10 23 20 22 23 13 22 21
3331     23 23 13 10 23 23 14 23 12 10 23 23 0]xS
3332     75 2281 M (that will be present an EHM IS model. The)[12 23 23 12 39 29 10 10 10 40 23 23 40 23 14 23 20 23 23 12 40 23 23 40 28 30 35 40 12 28 40 36
3333     23 23 23 10 12 40 40 26 23 0]xS
3334     75 2329 M (microprocessor system will normally reset into a state)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 20 20 21 20 12 23 36 20 29 10 10 10 20 23 23 14 36 23
3335     10 10 21 20 14 23 20 23 12 20 10 23 12 23 20 23 21 20 12 23 12 0]xS
3336     75 2377 M (where no IS is requesting service, hence the initial)[29 23 23 14 23 26 23 23 26 12 28 26 10 20 27 14 23 23 23 23 20 12 10 23 23 27 20 23 14 23 10 21
3337     23 12 27 23 23 23 21 23 27 12 23 23 27 10 23 10 12 10 23 0]xS
3338     75 2425 M (RSSV of zero. After the system begins operation, at)[30 28 28 28 20 23 13 20 21 23 14 23 12 20 20 28 13 12 23 14 20 12 23 23 21 20 21 20 12 23 36 21
3339     23 23 23 10 23 20 21 23 23 23 14 23 12 10 23 23 12 21 23 0]xS
3340     75 2473 M (some point the IS may change configuration so that it is)[20 23 36 23 13 23 23 10 23 12 13 12 23 23 13 12 28 14 36 23 21 14 21 23 23 23 23 23 14 21 23 23
3341     13 10 23 23 14 23 12 10 23 23 14 20 23 14 12 23 23 12 14 10 12 14 10 0]xS
3342     75 2521 M (requesting service from the SS; G)[14 23 23 23 23 20 12 10 23 23 20 20 23 14 23 10 21 23 20 13 14 23 36 21 12 23 23 21 28 28 12 21
3343     0]xS
3344     F0S1B Ji
3345     751 2527 M (1)S
3346     F0S2A Ji
3347     766 2521 M ( may involve both)[21 36 23 21 21 10 23 23 23 10 23 23 21 23 23 12 0]xS
3348     75 2569 M (time and events. Once the IS is requesting service,)[12 10 36 23 21 23 23 23 21 23 23 23 23 12 20 12 22 22 33 23 21 23 22 12 23 23 22 12 28 22 10 20
3349     22 14 23 23 23 23 20 12 10 23 23 22 20 23 14 23 10 21 23 0]xS
3350     75 2617 M (exactly two outcomes are possible. Either the SS will)[23 22 23 21 12 10 21 18 12 29 23 18 23 23 12 21 23 36 23 20 18 23 14 23 18 23 23 20 20 10 23 10
3351     23 12 18 19 28 10 12 23 23 14 19 12 23 23 19 28 28 19 29 10 10 0]xS
3352     75 2665 M (interact with the IS in a timely fashion to bring the IS to)[10 23 12 23 14 23 21 12 14 29 10 12 23 14 12 23 23 14 12 28 14 10 23 15 23 15 12 10 36 23 10 21
3353     15 13 23 20 23 10 23 23 15 12 23 15 23 14 10 23 23 15 12 23 23 15 12 28 15 12 0]xS
3354     75 2713 M (a configuration where it is no longer requesting service)[23 16 21 23 23 13 10 23 23 14 23 12 10 23 23 16 29 23 23 14 23 16 10 12 16 10 20 17 23 23 17 10
3355     23 23 23 23 14 17 14 23 23 23 23 20 12 10 23 23 17 20 23 14 23 10 21 0]xS
3356     75 2764 M (\(in the figure, )[14 10 23 20 12 23 23 20 13 10 23 23 14 23 12 0]xS
3357     F4S2A Ji
3358     358 2764 M (s)S
3359     F0S2A Ji
3360     383 2764 M ( represents an OE from the SS EHM)[21 14 23 23 14 23 20 23 23 12 20 21 23 23 21 33 28 21 13 14 23 36 21 12 23 23 21 28 28 21 28 30
3361     0]xS
3362     : N 358 2769 24 2 rp C
3363     L ; 75 2812 M (which effects a state change in the IS\), or else)[29 23 10 21 23 33 23 13 13 23 21 12 20 33 23 33 20 12 23 12 23 33 21 23 23 23 23 23 33 10 23 33
3364     12 23 23 34 12 28 14 12 34 23 14 34 23 10 20 0]xS
3365     75 2860 M (eventually G)[23 23 23 23 12 23 23 10 10 21 13 0]xS
3366     F0S1B Ji
3367     312 2866 M (2)S
3368     F0S2A Ji
3369     327 2860 M ( will be met and the configuration of the IS)[13 29 10 10 10 13 23 23 13 36 23 12 13 23 23 23 13 12 23 23 13 21 23 23 13 10 23 23 14 23 12 10
3370     23 23 14 23 13 14 12 23 23 14 12 0]xS
3371     75 2908 M (will be deemed illegal.)[29 10 10 10 12 23 23 12 23 23 23 36 23 23 12 10 10 10 23 23 23 10 0]xS
3372     75 3006 M (Figure )[26 10 23 23 14 23 0]xS
3373     226 3006 M (3)S
3374     249 3006 M ( is diagrammatic only, in that almost no)[32 10 20 33 23 10 23 23 14 23 36 36 23 12 10 21 33 23 23 10 21 12 33 10 23 33 12 23 23 12 33 23
3375     10 36 23 20 12 33 23 0]xS
3376     75 3054 M (practical IS can be modeled with only three)[23 14 23 21 12 10 21 23 10 47 12 28 47 21 23 23 47 23 23 48 36 23 23 23 10 23 23 48 29 10 12 23
3377     48 23 23 10 21 48 12 23 14 23 0]xS
3378     1275 156 M (configurations. Each rectangle in the figure represents)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 16 17 28 23 21 23 17 14 23 21 12 23 23 23 10 23 17
3379     10 23 17 12 23 23 17 13 10 23 23 14 23 17 14 23 23 14 23 20 23 23 12 0]xS
3380     1275 204 M (a set of configurations. The configuration of the IS will)[23 15 20 23 12 15 23 13 15 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 16 16 26 23 23 16 21 23
3381     23 13 10 23 23 14 23 12 10 23 23 16 23 13 16 12 23 23 16 12 28 16 29 10 10 0]xS
3382     1275 252 M (typically evolve through many configurations before the)[12 21 23 10 21 23 10 10 21 15 23 23 23 10 23 23 15 12 23 14 23 23 23 23 15 36 23 23 21 15 21 23
3383     23 13 10 23 23 14 23 12 10 23 23 20 16 23 23 13 23 14 23 16 12 23 0]xS
3384     1275 300 M (IS requests service, hence G)[12 28 23 14 23 23 23 23 20 12 20 23 20 23 14 23 10 21 23 12 23 23 23 23 21 23 24 0]xS
3385     F0S1B Ji
3386     1858 306 M (1)S
3387     F0S2A Ji
3388     1873 300 M ( in the figure is not a)[24 10 23 24 12 23 23 24 13 10 23 23 14 23 24 10 20 24 23 23 12 24 0]xS
3389     1275 348 M (single guard, but rather a collection of guards on)[20 10 23 23 10 23 31 23 23 23 14 23 12 31 23 23 12 31 14 23 12 23 23 14 31 23 31 21 23 10 10 23
3390     21 12 10 23 23 31 23 13 31 23 23 23 14 23 20 32 23 0]xS
3391     1275 396 M (potentially many transitions which define the boundary)[23 23 12 23 23 12 10 23 10 10 21 19 36 23 23 21 19 12 14 23 23 20 10 12 10 23 23 20 19 29 23 10
3392     21 23 19 23 23 13 10 23 23 19 12 23 23 20 23 23 23 23 23 23 14 0]xS
3393     1275 444 M (or the horizon between the set of configurations where)[23 14 17 12 23 23 17 23 23 14 10 21 23 23 17 23 23 12 29 23 23 23 17 12 23 23 18 20 23 12 18 23
3394     13 18 21 23 23 13 10 23 23 14 23 12 10 23 23 20 18 29 23 23 14 0]xS
3395     1275 492 M (the IS is not requesting service and the set of)[12 23 23 35 12 28 35 10 20 35 23 23 12 35 14 23 23 23 23 20 12 10 23 23 35 20 23 14 23 10 21 23
3396     35 23 23 23 36 12 23 23 36 20 23 12 36 23 0]xS
3397     1275 540 M (configurations where the IS is requesting service. G)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 20 29 23 23 14 23 20 12 23 23 20 12 28 20 10 20 20 14
3398     23 23 23 23 20 12 10 23 23 20 20 23 14 23 10 21 23 12 20 21 0]xS
3399     F0S1B Ji
3400     2310 546 M (2)S
3401     F0S2A Ji
3402     1275 591 M (and )[23 23 23 0]xS
3403     F4S2A Ji
3404     1356 591 M (s)S
3405     F0S2A Ji
3406     1381 591 M ( are boundaries or horizons in the same sense.)[12 23 14 23 12 23 23 23 23 23 23 14 10 23 20 12 23 14 12 23 23 14 10 21 23 23 20 12 10 23 12 12
3407     23 23 12 20 23 36 23 12 20 23 23 20 23 0]xS
3408     : N 1356 596 24 2 rp C
3409     L ; 1275 689 M (Although this is not required by the underlying)[28 10 12 23 23 23 23 23 40 12 23 10 20 40 10 20 40 23 23 12 41 14 23 23 23 10 14 23 23 41 23 21
3410     41 12 23 23 41 23 23 23 23 14 10 21 10 23 0]xS
3411     1275 737 M (mathematical framework, our design rules \(presented)[36 23 12 23 23 36 23 12 10 21 23 10 24 13 14 23 36 23 29 23 14 21 12 24 23 23 14 24 23 23 20 10
3412     23 23 24 14 23 10 23 20 24 14 23 14 23 20 23 23 12 23 0]xS
3413     1275 785 M (later\) embrace models where the RSSV is assigned)[10 23 12 23 14 14 25 23 36 23 14 23 21 23 25 36 23 23 23 10 20 25 29 23 23 14 23 25 12 23 23 25
3414     30 28 28 28 26 10 20 26 23 20 20 10 23 23 23 0]xS
3415     1275 833 M (consistently in each transition into a configuration, so)[21 23 23 20 10 20 12 23 23 12 10 21 21 10 23 21 23 23 21 23 22 12 14 23 23 20 10 12 10 23 23 22
3416     10 23 12 23 22 23 22 21 23 23 13 10 23 23 14 23 12 10 23 23 12 22 20 0]xS
3417     1275 881 M (that the RSSV is a function of the configuration only.)[12 23 23 12 12 12 23 23 12 30 28 28 28 12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 12
3418     23 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 23 10 21 0]xS
3419     1275 979 M (Each IS model has a single illegal configuration \(ILC\).)[28 23 21 23 18 12 28 18 36 23 23 23 10 18 23 23 20 18 23 18 20 10 23 23 10 23 19 10 10 10 23 23
3420     23 10 19 21 23 23 13 10 23 23 14 23 12 10 23 23 19 14 12 23 30 14 0]xS
3421     1275 1027 M (All transitions leading into the ILC reflect a situation)[28 10 10 23 12 14 23 23 20 10 12 10 23 23 20 24 10 23 23 23 10 23 23 24 10 23 12 23 24 12 23 23
3422     24 12 23 30 24 14 23 13 10 23 21 12 24 23 24 20 10 12 23 23 12 10 23 0]xS
3423     1275 1075 M (where the SS was not able to prevent an undesirable)[29 23 23 14 23 19 12 23 23 19 28 28 20 29 23 20 20 23 23 12 20 23 23 10 23 20 12 23 20 23 14 23
3424     23 23 23 12 20 23 23 20 23 23 23 23 20 10 14 23 23 10 0]xS
3425     1275 1123 M (state change in the IS through timely interaction. In a)[20 12 23 12 23 17 21 23 23 23 23 23 17 10 23 17 12 23 23 17 12 28 18 12 23 14 23 23 23 23 18 12
3426     10 36 23 10 21 18 10 23 12 23 14 23 21 12 10 23 23 12 18 18 12 23 18 0]xS
3427     1275 1171 M (practical system, events which lead to the ILC may be a)[23 14 23 21 12 10 21 23 10 13 20 21 20 12 23 36 12 13 23 23 23 23 12 20 13 29 23 10 21 23 13 10
3428     23 23 23 13 12 23 13 12 23 23 13 12 23 30 14 36 23 21 14 23 23 14 0]xS
3429     1275 1219 M (buffer overflow \(in the case of a UART\), a missed)[23 23 13 13 23 14 26 23 23 23 14 13 10 23 29 26 14 10 23 26 12 23 23 26 21 23 20 23 26 23 13 26
3430     23 27 30 28 30 26 14 12 27 23 27 36 10 20 20 23 0]xS
3431     1275 1267 M (message \(in the case of a network communication)[36 23 20 20 23 23 23 28 14 10 23 29 12 23 23 29 21 23 20 23 29 23 13 29 23 29 23 23 12 29 23 14
3432     21 29 21 23 36 36 23 23 10 21 23 12 10 23 0]xS
3433     1275 1315 M (peripheral\), or a periodic interrupt which is not fully)[23 23 14 10 23 23 23 14 23 10 14 12 25 23 14 25 23 26 23 23 14 10 23 23 10 21 26 10 23 12 23 14
3434     14 23 23 12 26 29 23 10 21 23 26 10 20 26 23 23 12 26 13 23 10 10 0]xS
3435     1275 1363 M (processed before the next similar interrupt occurs \(a lost)[23 14 23 21 23 20 20 23 23 12 23 23 13 23 14 23 12 12 23 23 13 23 23 22 12 13 20 10 36 10 10 23
3436     14 13 10 23 12 23 14 14 23 23 12 13 23 21 21 23 14 20 13 14 23 13 10 23 20 0]xS
3437     1275 1411 M (\223timetick\224\).)[14 12 10 36 23 12 10 21 21 14 14 0]xS
3438     1275 1509 M (The transitions leading into the ILC may represent)[26 23 23 29 12 14 23 23 20 10 12 10 23 23 20 29 10 23 23 23 10 23 23 29 10 23 12 23 30 12 23 23
3439     30 12 23 30 30 36 23 21 30 14 23 23 14 23 20 23 23 0]xS
3440     1275 1557 M (situations which are very disparate in their nature and)[20 10 12 23 23 12 10 23 23 20 19 29 23 10 21 23 19 23 14 23 19 23 23 14 21 19 23 10 20 23 23 14
3441     23 12 23 19 10 23 19 12 23 23 10 14 20 23 23 12 23 14 23 20 23 23 0]xS
3442     1275 1605 M (severity; the only requirement is that these situations are)[20 23 23 23 14 10 12 21 12 12 12 23 23 12 23 23 10 21 12 14 23 23 23 10 14 23 36 23 23 12 12 10
3443     20 12 12 23 23 12 12 12 23 23 20 23 12 20 10 12 23 23 12 10 23 23 20 12 23 14 0]xS
3444     1275 1653 M (arbitrarily deemed undesirable in the system. It is not)[23 14 23 10 12 14 23 14 10 10 21 18 23 23 23 36 23 23 18 23 23 23 23 20 10 14 23 23 10 23 18 10
3445     23 18 12 23 23 18 20 21 20 12 23 36 12 18 18 12 12 18 10 20 19 23 23 0]xS
3446     1275 1701 M (required that each transition leading into the ILC)[14 23 23 23 10 14 23 23 34 12 23 23 12 34 23 23 21 23 34 12 14 23 23 20 10 12 10 23 23 34 10 23
3447     23 23 10 23 23 35 10 23 12 23 35 12 23 23 35 12 23 0]xS
3448     1275 1749 M (represent a catastrophic event. It would be possible, as)[14 23 23 14 23 20 23 23 12 14 23 14 21 23 12 23 20 12 14 23 23 23 10 21 14 23 23 23 23 12 12 14
3449     14 12 12 14 29 23 23 10 23 14 23 23 14 23 23 20 20 10 23 10 23 12 14 23 0]xS
3450     1275 1797 M (a modeling example, to tighten the notion of desirability)[23 14 36 23 23 23 10 10 23 23 14 23 22 23 36 23 10 23 12 14 12 23 14 12 10 23 23 12 23 23 15 12
3451     23 23 15 23 23 12 10 23 23 15 23 13 15 23 23 20 10 14 23 23 10 10 10 12 0]xS
3452     1275 1845 M (in order to ensure a system with a certain safety factor)[10 23 16 23 14 23 23 14 16 12 23 16 23 23 20 23 14 23 16 23 16 20 21 20 12 23 36 16 29 10 12 23
3453     16 23 17 21 23 14 12 23 10 23 17 20 23 13 23 12 21 17 13 23 21 12 23 0]xS
3454     1275 1893 M (or timing margin, or to rule out severe jitter in a timetick)[23 14 13 12 10 36 10 23 23 13 36 23 14 23 10 23 12 13 23 14 13 12 23 14 14 23 10 23 14 23 23 12
3455     14 20 23 23 23 14 23 14 10 10 12 12 23 14 14 10 23 14 23 14 12 10 36 23 12 10 21 0]xS
3456     1275 1941 M (ISR.)[12 28 30 0]xS
3457     1275 2039 M (For the modeling approach presented here, the EHM)[26 23 14 22 12 23 23 22 36 23 23 23 10 10 23 23 22 23 23 23 14 23 23 21 23 22 23 14 23 20 23 23
3458     12 23 23 22 23 23 14 23 12 22 12 23 23 23 28 30 0]xS
3459     1275 2087 M (timing model ceases to represent the modeled system)[12 10 36 10 23 23 18 36 23 23 23 10 18 21 23 23 20 23 20 18 12 23 19 14 23 23 14 23 20 23 23 12
3460     19 12 23 23 19 36 23 23 23 10 23 23 19 20 21 20 12 23 0]xS
3461     1275 2135 M (at the ILC boundary. The timing models constructed)[23 12 21 12 23 23 21 12 23 30 21 23 23 23 23 23 23 14 21 12 21 21 26 23 23 22 12 10 36 10 23 23
3462     22 36 23 23 23 10 20 22 21 23 23 20 12 14 23 21 12 23 0]xS
3463     1275 2183 M (therefore do not accurately model the behavior of a)[12 23 23 14 23 13 23 14 23 24 23 23 24 23 23 12 24 23 21 21 23 14 23 12 23 10 21 24 36 23 23 23
3464     10 24 12 23 23 24 23 23 23 23 23 10 23 14 24 23 13 25 0]xS
3465     1275 2231 M (system in which any ILC is reachable. In practice, this)[20 21 20 12 23 36 16 10 23 16 29 23 10 21 23 16 23 23 21 16 12 23 30 16 10 20 16 14 23 23 21 23
3466     23 23 10 23 12 16 17 12 23 17 23 14 23 21 12 10 21 23 12 17 12 23 10 0]xS
3467     1275 2279 M (tends to be because the ILC is a modeling \223catch-all\224,)[12 23 23 23 20 18 12 23 18 23 23 18 23 23 21 23 23 20 23 19 12 23 23 19 12 23 30 19 10 20 19 23
3468     19 36 23 23 23 10 10 23 23 19 14 21 23 12 21 23 14 23 10 10 14 0]xS
3469     1275 2327 M (which may map to many disparate undesirable)[29 23 10 21 23 43 36 23 21 43 36 23 23 43 12 23 43 36 23 23 21 43 23 10 20 23 23 14 23 12 23 43
3470     23 23 23 23 20 10 14 23 23 10 0]xS
3471     1275 2375 M (configurations in the modeled system. Mathematically,)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 16 10 23 16 12 23 23 16 36 23 23 23 10 23 23 17 20 21
3472     20 12 23 36 12 17 17 35 23 12 23 23 36 23 12 10 21 23 10 10 21 0]xS
3473     1275 2423 M (this point is more profound\227if no ILC is reachable, then)[12 23 10 20 13 23 23 10 23 12 13 10 20 13 36 23 14 23 13 23 14 23 13 23 23 23 23 42 10 13 13 23
3474     23 14 12 23 30 14 10 20 14 14 23 23 21 23 23 23 10 23 12 14 12 23 23 0]xS
3475     1275 2471 M (the ILCs can be discarded from the CHM, in effect they)[12 23 23 14 12 23 30 20 14 21 23 23 14 23 23 14 23 10 20 21 23 14 23 23 23 15 13 14 23 36 15 12
3476     23 23 15 30 30 35 12 15 10 23 15 23 13 13 23 21 12 15 12 23 23 0]xS
3477     1275 2519 M (are not truly part of the model.)[23 14 23 12 23 23 12 12 12 14 23 10 21 12 23 23 14 12 12 23 13 12 12 23 23 12 36 23 23 23 10 0]xS
3478     1275 2715 M (OVERVIEW OF INTERACTIONS BETWEEN)[33 28 28 30 28 12 28 42 79 33 26 80 12 30 26 28 30 28 30 26 12 33 30 28 80 28 28 26 42 28 28 0]xS
3479     1275 2763 M (SOFTWARE SYSTEM AND SOURCES OF)[28 33 26 26 42 28 30 28 70 28 28 28 26 28 35 70 28 30 30 71 28 33 30 30 30 28 28 71 33 0]xS
3480     1275 2811 M (INTERRUPT)[12 30 26 28 30 30 30 28 0]xS
3481     1275 2909 M (As we explored the adequacy of the hybrid system)[28 20 26 29 23 26 23 22 23 10 23 14 23 23 26 12 23 23 26 23 23 23 23 23 23 21 21 26 23 13 27 12
3482     23 23 27 23 21 23 14 10 23 27 20 21 20 12 23 0]xS
3483     1275 2957 M (mathematical framework in solving the interrupt latency)[36 23 12 23 23 36 23 12 10 21 23 10 15 13 14 23 36 23 29 23 14 21 15 10 23 15 20 23 10 23 10 23
3484     23 15 12 23 23 16 10 23 12 23 14 14 23 23 12 16 10 23 12 23 23 21 0]xS
3485     1275 3005 M (compatibility problem, about a dozen pairs of EHM)[21 23 36 23 23 12 10 23 10 10 10 12 21 27 23 14 23 23 10 23 36 12 27 23 23 23 23 12 27 23 28 23
3486     23 21 23 23 28 23 23 10 14 20 28 23 13 28 28 30 0]xS
3487     1275 3053 M (models were developed for ISs and their corresponding)[36 23 23 23 10 20 15 29 23 14 23 15 23 23 23 23 10 23 23 23 23 15 13 23 14 15 12 28 20 16 23 23
3488     23 16 12 23 23 10 14 16 21 23 14 14 23 20 23 23 23 23 10 23 0]xS
3489     LH
3490     (%%[Page: 7]%%) =
3491     %%PageTrailer
3492    
3493     %%Page: 8 8
3494     %%PageBoundingBox: 18 8 593 784
3495     %%EndPageComments
3496     %%BeginPageSetup
3497     /DeviceRGB dup setcolorspace /colspABC exch def
3498     mysetup concat colspRefresh
3499     %%EndPageSetup
3500    
3501     0 0 0 1 scol 1185 3158 M (8)S
3502     75 156 M (ISRs. We have noted similarities in all of our refined)[12 28 30 20 12 18 18 42 23 19 23 23 23 23 19 23 23 12 23 23 19 20 10 36 10 10 23 14 10 12 10 23
3503     20 19 10 23 19 23 10 10 19 23 13 19 23 23 14 19 14 23 13 10 23 23 0]xS
3504     75 204 M (models, and these similarities suggest preferred)[36 23 23 23 10 20 12 44 23 23 23 44 12 23 23 20 23 44 20 10 36 10 10 23 14 10 12 10 23 20 44 20
3505     23 23 23 23 20 12 45 23 14 23 13 23 14 14 23 0]xS
3506     75 252 M (modeling approaches or design rules, which we present)[36 23 23 23 10 10 23 23 15 23 23 23 14 23 23 21 23 23 20 15 23 14 15 23 23 20 10 23 23 15 14 23
3507     10 23 20 12 15 29 23 10 21 23 15 29 23 16 23 14 23 20 23 23 0]xS
3508     75 300 M (here.)[23 23 14 23 0]xS
3509     75 398 M (1. )[23 12 0]xS
3510     122 398 M ( )S
3511     150 398 M (Each IS EHM maintains a single RSSV, with a value)[28 23 21 23 12 12 28 12 28 30 35 12 36 23 10 23 12 23 10 23 20 12 23 12 20 10 23 23 10 23 12 30
3512     28 28 28 12 12 29 10 12 23 13 23 13 23 23 10 23 0]xS
3513     150 446 M (of zero indicating that no service is required, and a)[23 13 15 21 23 14 23 16 10 23 23 10 21 23 12 10 23 23 16 12 23 23 12 16 23 23 16 20 23 14 23 10
3514     21 23 16 10 20 16 14 23 23 23 10 14 23 23 12 16 23 23 23 16 0]xS
3515     150 494 M (value greater than zero indicating that service is)[23 23 10 23 23 23 23 14 23 23 12 23 14 24 12 23 23 23 24 21 23 14 23 24 10 23 23 10 21 23 12 10
3516     23 23 24 12 23 23 12 24 20 23 14 23 10 21 23 24 10 0]xS
3517     150 542 M (required.)[14 23 23 23 10 14 23 23 0]xS
3518     75 640 M (2. )[23 12 0]xS
3519     122 640 M ( )S
3520     150 640 M (RSSVs appear in the guards of transitions in the SS)[30 28 28 28 20 13 23 23 23 23 23 14 13 10 23 13 12 23 23 13 23 23 23 14 23 20 14 23 13 14 12 14
3521     23 23 20 10 12 10 23 23 20 14 10 23 14 12 23 23 14 28 0]xS
3522     150 688 M (EHM leading from the RTPI state, with hardware)[28 30 35 22 10 23 23 23 10 23 23 22 13 14 23 36 23 12 23 23 23 30 26 28 12 23 20 12 23 12 23 12
3523     23 29 10 12 23 23 23 23 14 23 29 23 14 0]xS
3524     150 736 M (interrupt priority resolution modeled as discussed)[10 23 12 23 14 14 23 23 12 25 23 14 10 23 14 10 12 21 25 14 23 20 23 10 23 12 10 23 23 25 36 23
3525     23 23 10 23 23 25 23 20 26 23 10 20 21 23 20 20 23 0]xS
3526     150 784 M (earlier.)[23 23 14 10 10 23 14 0]xS
3527     75 882 M (3. )[23 12 0]xS
3528     122 882 M ( )S
3529     150 882 M (Within each of the ISRs of the SS EHM,)[42 10 12 23 10 23 40 23 23 21 23 40 23 13 41 12 23 23 41 12 28 30 20 41 23 13 41 12 23 23 41 28
3530     28 41 28 30 35 0]xS
3531     150 930 M (assumptions can be made about the configuration of)[23 20 20 23 36 23 12 10 23 23 20 12 21 23 23 12 23 23 12 36 23 23 23 12 23 23 23 23 12 12 12 23
3532     23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 13 23 0]xS
3533     150 978 M (the corresponding IS, so it is known that OEs from)[12 23 23 16 21 23 14 14 23 20 23 23 23 23 10 23 23 16 12 28 12 17 20 23 17 10 12 17 10 20 17 21
3534     23 23 29 23 17 12 23 23 12 17 33 28 20 17 13 14 23 0]xS
3535     150 1026 M (the SS will have a specific effect on the)[12 23 23 42 28 28 42 29 10 10 10 42 23 23 23 23 42 23 42 20 23 23 21 10 13 10 21 42 23 13 13 23
3536     21 12 42 23 23 43 12 23 0]xS
3537     150 1074 M (configuration of the IS.)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 13 12 12 23 23 12 12 28 0]xS
3538     75 1172 M (4. )[23 12 0]xS
3539     122 1172 M ( )S
3540     150 1172 M (Each IS has exactly one ILC, which is a modeling)[28 23 21 23 18 12 28 18 23 23 20 18 23 22 23 21 12 10 21 18 23 23 23 18 12 23 30 12 19 29 23 10
3541     21 23 19 10 20 19 23 19 36 23 23 23 10 10 23 0]xS
3542     150 1220 M (\223catch-all\224 for any situation deemed arbitrarily)[14 21 23 12 21 23 14 23 10 10 14 38 13 23 14 38 23 23 21 38 20 10 12 23 23 12 10 23 23 39 23 23
3543     23 36 23 23 39 23 14 23 10 12 14 23 14 10 10 0]xS
3544     150 1268 M (undesirable.)[23 23 23 23 20 10 14 23 23 10 23 0]xS
3545     75 1366 M (5. )[23 12 0]xS
3546     122 1366 M ( )S
3547     150 1366 M (Each RSSV is assigned consistently in IS transitions)[28 23 21 23 12 30 28 28 28 13 10 20 13 23 20 20 10 23 23 23 23 13 21 23 23 20 10 20 12 23 23 12
3548     10 21 13 10 23 13 12 28 13 12 14 23 23 20 10 12 10 23 23 0]xS
3549     150 1414 M (so that it is a function of the IS configuration only.)[20 23 12 12 23 23 12 12 10 12 12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 12 23 23 12
3550     12 28 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 23 10 21 0]xS
3551     75 1512 M (6. )[23 12 0]xS
3552     122 1512 M ( )S
3553     150 1512 M (In addition to the RSSV, each IS may maintain)[12 23 25 23 23 23 10 12 10 23 23 25 12 23 25 12 23 23 25 30 28 28 28 12 26 23 23 21 23 26 12 28
3554     26 36 23 21 26 36 23 10 23 12 23 10 0]xS
3555     150 1560 M (additional SVs which allow the ISR model to \223sense\224)[23 23 23 10 12 10 23 23 23 10 12 28 28 20 13 29 23 10 21 23 13 23 10 10 23 29 13 12 23 23 13 12
3556     28 30 13 36 23 23 23 10 13 12 23 13 14 20 23 23 20 23 0]xS
3557     150 1608 M (the state of the IS and make branch decisions based)[12 23 23 12 20 12 23 12 23 12 23 13 12 12 23 23 12 12 28 12 23 23 23 12 36 23 21 23 12 23 14 23
3558     23 21 23 12 23 23 21 10 20 10 23 23 20 13 23 23 20 23 0]xS
3559     150 1656 M (on this state.)[23 23 12 12 23 10 20 12 20 12 23 12 23 0]xS
3560     75 1754 M (7. )[23 12 0]xS
3561     122 1754 M ( )S
3562     150 1754 M (An IS is designed so that an RSSV may not go from)[28 23 13 12 28 13 10 20 13 23 23 20 10 23 23 23 23 13 20 23 13 12 23 23 12 13 23 23 13 30 28 28
3563     28 13 36 23 21 13 23 23 12 13 23 23 13 13 14 23 0]xS
3564     150 1802 M (a value greater than zero to a value of zero or less)[23 15 23 23 10 23 23 15 23 14 23 23 12 23 14 15 12 23 23 23 15 21 23 14 23 15 12 23 15 23 15 23
3565     23 10 23 23 16 23 13 16 21 23 14 23 16 23 14 16 10 23 20 0]xS
3566     150 1850 M (without intervention from the corresponding ISR)[29 10 12 23 23 23 12 12 10 23 12 23 14 23 23 23 12 10 23 23 12 13 14 23 36 12 12 23 23 12 21 23
3567     14 14 23 20 23 23 23 23 10 23 23 12 12 28 0]xS
3568     F0S1B Ji
3569     1038 1829 M (8)S
3570     F0S2A Ji
3571     1053 1850 M (.)S
3572     75 1948 M (8. )[23 12 0]xS
3573     122 1948 M ( )S
3574     150 1948 M (Once an ISR is entered, the IS and the ISR may)[33 23 21 23 20 23 23 20 12 28 30 20 10 20 20 23 23 12 23 14 23 23 12 20 12 23 23 20 12 28 20 23
3575     23 23 20 12 23 23 20 12 28 30 21 36 23 0]xS
3576     150 1996 M (interact in an arbitrary fashion. Typically, the ISR is)[10 23 12 23 14 23 21 12 13 10 23 13 23 23 13 23 14 23 10 12 14 23 14 21 13 13 23 20 23 10 23 23
3577     12 14 14 26 21 23 10 21 23 10 10 21 12 14 12 23 23 14 12 28 30 14 10 0]xS
3578     150 2044 M (modeled to be a source of OEs which drive the state)[36 23 23 23 10 23 23 12 12 23 12 23 23 12 23 12 20 23 23 14 21 23 12 23 13 12 33 28 20 12 29 23
3579     10 21 23 12 23 14 10 23 23 13 12 23 23 13 20 12 23 12 0]xS
3580     150 2092 M (of the IS, and the ISR transitions contain guards)[23 13 22 12 23 23 22 12 28 12 22 23 23 23 23 12 23 23 23 12 28 30 23 12 14 23 23 20 10 12 10 23
3581     23 20 23 21 23 23 12 23 10 23 23 23 23 23 14 23 0]xS
3582     150 2140 M (involving SVs owned by the IS.)[10 23 23 23 10 23 10 23 23 12 28 28 20 12 23 29 23 23 23 12 23 21 12 12 23 23 12 12 28 0]xS
3583     75 2238 M (9. )[23 12 0]xS
3584     122 2238 M ( )S
3585     150 2238 M (ISRs each contain at least one exit to the RTPI)[12 28 30 20 23 23 23 21 23 23 21 23 23 12 23 10 23 23 23 12 23 10 23 23 20 12 24 23 23 23 24 23
3586     22 10 12 24 12 23 24 12 23 23 24 30 26 28 0]xS
3587     150 2286 M (configuration.)[21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
3588     75 2384 M (In the following sections, models for typical ISs and their)[12 23 12 12 23 23 12 13 23 10 10 23 29 10 23 23 12 20 23 21 12 10 23 23 20 12 12 36 23 23 23 10
3589     20 13 13 23 14 13 12 21 23 10 21 23 10 13 12 28 20 13 23 23 23 13 12 23 23 10 0]xS
3590     75 2432 M (corresponding ISRs are presented. Each of these)[21 23 14 14 23 20 23 23 23 23 10 23 23 29 12 28 30 20 30 23 14 23 30 23 14 23 20 23 23 12 23 23
3591     12 30 30 28 23 21 23 30 23 13 30 12 23 23 20 0]xS
3592     75 2480 M (models adheres to the design rules presented above.)[36 23 23 23 10 20 12 23 23 23 23 14 23 20 12 12 23 12 12 23 23 12 23 23 20 10 23 23 12 14 23 10
3593     23 20 12 23 14 23 20 23 23 12 23 23 12 23 23 23 23 23 0]xS
3594     75 2676 M (PERIODIC INTERRUPT SOURCES)[28 28 30 12 33 30 12 30 12 12 30 26 28 30 30 30 28 26 12 28 33 30 30 30 28 0]xS
3595     75 2820 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3596     435 2820 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3597     : N 75 2809 600 2 rp C
3598     L ; F0S1B Ji
3599     75 2847 M (8)S
3600     F0S2A Ji
3601     90 2868 M ( Practical ISs never release an asserted interrupt)[12 28 14 23 21 12 10 21 23 10 12 12 28 20 12 23 23 23 23 14 12 14 23 10 23 23 20 23 12 23 23 12
3602     23 20 20 23 14 12 23 23 12 10 23 12 23 14 14 23 23 0]xS
3603     75 2916 M (without SS intervention. If this design guideline is)[29 10 12 23 23 23 12 12 28 28 12 10 23 12 23 14 23 23 23 12 10 23 23 12 12 12 12 13 12 12 23 10
3604     20 12 23 23 20 10 23 23 12 23 23 10 23 23 10 10 23 23 12 10 0]xS
3605     75 2964 M (violated, guideline \(3\) cannot be applied, as the ISR has)[23 10 23 10 23 12 23 23 12 12 23 23 10 23 23 10 10 23 23 12 14 23 14 12 21 23 23 23 23 12 12 23
3606     23 12 23 23 23 10 10 23 23 12 12 23 20 12 12 23 23 12 12 28 30 12 23 23 0]xS
3607     75 3012 M (no assurances about the range of configurations of the)[23 23 12 23 20 20 23 14 23 23 21 23 20 12 23 23 23 23 12 12 12 23 23 12 14 23 23 23 23 12 23 13
3608     12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 13 12 12 23 0]xS
3609     75 3060 M (IS.)[12 28 0]xS
3610     1275 156 M (Figure )[26 10 23 23 14 23 0]xS
3611     1413 156 M (4)S
3612     1436 156 M ( depicts the EHM model of a periodic IS. In)[19 23 23 23 10 21 12 20 19 12 23 23 20 28 30 35 20 36 23 23 23 10 20 23 13 20 23 20 23 23 14 10
3613     23 23 10 21 20 12 28 12 20 20 12 0]xS
3614     1275 204 M (configuration A \(the initial configuration\), the continuous)[21 23 23 13 10 23 23 14 23 12 10 23 23 14 28 14 14 12 23 23 14 10 23 10 12 10 23 10 14 21 23 23
3615     13 10 23 23 14 23 12 10 23 23 14 12 14 12 23 23 15 21 23 23 12 10 23 23 23 23 0]xS
3616     1275 252 M (variable )[23 23 14 10 23 23 10 23 0]xS
3617     F2S2A Ji
3618     1446 252 M (t)S
3619     F0S2A Ji
3620     1458 252 M ( advances with )[22 23 23 23 23 23 21 23 20 22 29 10 12 23 0]xS
3621     F2S2A Ji
3622     1778 252 M <7492>[12 0]xS
3623     F0S2A Ji
3624     1799 252 M (=1 to mimic elapsed time.)[25 23 23 12 23 23 36 10 36 10 21 23 23 10 23 23 20 23 23 23 12 10 36 23 0]xS
3625     1275 301 M (When )[42 23 23 23 0]xS
3626     F2S2A Ji
3627     1401 301 M (t)S
3628     F0S2A Ji
3629     1413 301 M ( becomes equal to K)[15 23 23 21 23 36 23 20 15 23 23 23 23 10 15 12 23 16 0]xS
3630     F0S1B Ji
3631     1808 307 M (1)S
3632     F0S2A Ji
3633     1823 301 M ( \(the period of the IS\), the)[16 14 12 23 23 16 23 23 14 10 23 23 16 23 13 16 12 23 23 16 12 28 14 12 16 12 23 0]xS
3634     1275 350 M (transition to configuration B is taken, the RSSV is set to)[12 14 23 23 20 10 12 10 23 23 14 12 23 14 21 23 23 13 10 23 23 14 23 12 10 23 23 14 28 14 10 20
3635     14 12 23 21 23 23 12 14 12 23 23 14 30 28 28 28 14 10 20 14 20 23 12 14 12 0]xS
3636     1275 398 M (signal that the IS requires software intervention, and )[20 10 23 23 23 10 13 12 23 23 12 13 12 23 23 14 12 28 14 14 23 23 23 10 14 23 20 14 20 23 13 12
3637     29 23 14 23 14 10 23 12 23 14 23 23 23 12 10 23 23 12 14 23 23 23 0]xS
3638     F2S2A Ji
3639     2269 398 M (t)S
3640     F0S2A Ji
3641     2281 398 M ( is)[14 10 0]xS
3642     1275 447 M (set to zero to begin measuring the next period. If the)[20 23 12 18 12 23 18 21 23 14 23 18 12 23 18 23 23 23 10 23 18 36 23 23 20 23 14 10 23 23 18 12
3643     23 23 18 23 23 22 12 18 23 23 14 10 23 23 12 18 18 12 13 18 12 23 0]xS
3644     1275 498 M (SS interacts with the IS before K)[28 28 13 10 23 12 23 14 23 21 12 20 13 29 10 12 23 13 12 23 23 13 12 28 13 23 23 13 23 14 23 13
3645     0]xS
3646     F0S1B Ji
3647     1886 504 M (2)S
3648     F0S2A Ji
3649     1901 498 M ( elapses by sending )[14 23 10 23 23 20 23 20 14 23 21 14 20 23 23 23 10 23 23 0]xS
3650     F4S2A Ji
3651     2288 498 M (s)S
3652     F0S2A Ji
3653     2313 498 M (,)S
3654     : N 2288 503 24 2 rp C
3655     L ; 1275 546 M (the IS drops its request for service. If the SS does not)[12 23 23 15 12 28 15 23 14 23 23 20 15 10 12 20 15 14 23 23 23 23 20 12 15 13 23 14 16 20 23 14
3656     23 10 21 23 12 16 16 12 13 16 12 23 23 16 28 28 16 23 23 23 20 16 23 23 0]xS
3657     1275 594 M (interact with the IS in a timely fashion, K)[10 23 12 23 14 23 21 12 17 29 10 12 23 17 12 23 23 17 12 28 17 10 23 17 23 17 12 10 36 23 10 21
3658     17 13 23 20 23 10 23 23 12 17 0]xS
3659     F0S1B Ji
3660     2064 600 M (2)S
3661     F0S2A Ji
3662     2079 594 M ( elapses and)[17 23 10 23 23 20 23 20 18 23 23 0]xS
3663     1275 642 M (the IS reaches the ILC. For a typical practical system,)[12 23 23 16 12 28 16 14 23 23 21 23 23 20 16 12 23 23 16 12 23 30 12 16 16 26 23 14 16 23 17 12
3664     21 23 10 21 23 10 17 23 14 23 21 12 10 21 23 10 17 20 21 20 12 23 36 0]xS
3665     1275 690 M (K)S
3666     F0S1B Ji
3667     1303 696 M (2)S
3668     F0S2A Ji
3669     1318 690 M (<K)[25 0]xS
3670     F0S1B Ji
3671     1371 696 M (1)S
3672     F0S2A Ji
3673     1386 690 M (, since usually an ISR must begin to run before)[12 19 20 10 23 21 23 19 23 20 23 23 10 10 21 19 23 23 20 12 28 30 20 36 23 20 12 20 23 23 23 10
3674     23 20 12 23 20 14 23 23 20 23 23 13 23 14 0]xS
3675     1275 738 M (the next periodic interrupt. Note that K)[12 23 23 23 23 23 22 12 23 23 23 14 10 23 23 10 21 23 10 23 12 23 14 14 23 23 12 12 23 23 30 23
3676     12 23 23 12 23 23 12 23 0]xS
3677     F0S1B Ji
3678     2073 744 M (2)S
3679     F0S2A Ji
3680     2088 738 M ( can be set)[23 21 23 23 23 23 23 23 20 23 0]xS
3681     1275 786 M (arbitrarily within this constraint to limit jitter of the)[23 14 23 10 12 14 23 14 10 10 21 29 29 10 12 23 10 23 29 12 23 10 20 29 21 23 23 20 12 14 23 10
3682     23 12 29 12 23 29 10 10 36 10 12 30 10 10 12 12 23 14 30 23 13 30 12 23 0]xS
3683     1275 834 M (associated ISR.)[23 20 20 23 21 10 23 12 23 23 12 12 28 30 0]xS
3684     Pscript_WinNT_Incr begin
3685     %%BeginResource: file Pscript_Win_Dib_L2 5.0 0
3686     /iw 0 d/ih 0 d/im_save 0 d/s 0 d/polarity 0 d/smoothflag 0 d/mystring 0 d/bpc 0
3687     d/maskcolor 0 d/mask? F d/setup1asciiproc{[currentfile mystring/readhexstring
3688     cvx/! cvx]cvx bind}b/setup1binaryproc{[currentfile mystring/readstring cvx/!
3689     cvx]cvx bind}b/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode
3690     filter}b/setup2binaryproc{currentfile/RunLengthDecode filter}b/jpegasciiproc
3691     {currentfile/ASCII85Decode filter<</Relax 1>>/DCTDecode filter}b/jpegbinaryproc
3692     {currentfile<</Relax 1>>/DCTDecode filter}b/mycolorspace{colspABC}d/myimagedict
3693     {/myimagedict 10 dict d myimagedict @ `/ImageType 1 d/MultipleDataSource F d E}
3694     b/imageprocarray[/setup1binaryproc/setup1asciiproc/setup2binaryproc
3695     /setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc]d/jpegprocarray[
3696     /jpegasciiproc/jpegbinaryproc]d/Q{/im_save save d scol imageprocarray ~ get/s ~
3697     , d/polarity ~ d/smoothflag ~ d +/dx 2 ^ d/dy 1 ^ d +S/mystring ~ string d/bpc
3698     ~ d/ih ~ d/iw ~ d fx rf}b/X{/im_save save d/mask? ~ d/maskcolor ~ d
3699     imageprocarray ~ get/s ~ , d/polarity ~ d/smoothflag ~ d +/dx 2 ^ d/dy 1 ^ d +S
3700     /mystring ~ string d/bpc ~ d/ih ~ d/iw ~ d}b/Z{im_save restore}b/beginjpeg{
3701     /jpeg_save save d jpegprocarray ~ get/jpegimageproc ~ , d + +S/bpc ~ d/ih ~ d
3702     /iw ~ d bpc 24 eq{/DeviceRGB}{/DeviceGray}? setcolorspace myimagedict @ `
3703     /ImageType 1 d/Width iw d/Height ih d/Decode bpc 24 eq{[0 1 0 1 0 1]}{[0 1]}? d
3704     /ImageMatrix[iw 0 0 ih 0 0]d/BitsPerComponent 8 d/DataSource jpegimageproc d E
3705     image}b/endjpeg{jpeg_save restore}b/Y{scol myimagedict @ ` mask?{/ImageType 4 d
3706     /MaskColor maskcolor d}if/Width iw d/Height ih d/Decode polarity{[1 0]}{[0 1]}?
3707     d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d/BitsPerComponent 1 d/Interpolate
3708     smoothflag d E imagemask}bd/doclutimage{/rgbclut ~ d bpc @ 8 eq{! 255}{4 eq{15}
3709     {3}?}?/hival ~ d[/Indexed currentcolorspace hival rgbclut]setcolorspace
3710     myimagedict @ ` mask?{/ImageType 4 d/MaskColor maskcolor d}if/Width iw d/Height
3711     ih d/Decode[0 hival]d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d
3712     /BitsPerComponent bpc d/Interpolate smoothflag d E image}b/doCMYKclutimage{
3713     /CMYKclut ~ d bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ d[/Indexed/DeviceCMYK
3714     hival CMYKclut]setcolorspace myimagedict @ ` mask?{/ImageType 4 d/MaskColor
3715     maskcolor d}if/Width iw d/Height ih d/Decode[0 hival]d/ImageMatrix[iw 0 0 ih 0
3716     0]d/DataSource s d/BitsPerComponent bpc d/Interpolate smoothflag d E image}b
3717     /doNimage{bpc 24 eq{currentcolorspace}{colspA}? setcolorspace myimagedict @ `
3718     mask?{/ImageType 4 d/MaskColor maskcolor d}if/Width iw d/Height ih d/Decode bpc
3719     24 eq{[0 1 0 1 0 1]}{[0 1]}? d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d
3720     /BitsPerComponent bpc 24 eq{8}{bpc}? d/Interpolate smoothflag d E image}b
3721     /doCMYKimage{/DeviceCMYK setcolorspace myimagedict @ ` mask?{/ImageType 4 d
3722     /MaskColor maskcolor d}if/Width iw d/Height ih d/Decode[0 1 0 1 0 1 0 1]d
3723     /ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d/BitsPerComponent 8 d/Interpolate
3724     smoothflag d E image}b
3725     %%EndResource
3726     end reinitialize
3727     : 569 925 24 1707 353 576 1623 991 F F 3 [ 0 0 0 ] F
3728     X
3729     doNimage
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3732     V>oc[JcC<$JcC<$JcC<$JcC<$JcC<$b5[%mJcDSHkl?;7JcC<$JcC<$JcC<$JcC<$JcEmmJcC<$
3733     V>oc[JcC<$JcC<$JcC<$JcC<$JcC<$b5[%mJcDSHkl?;7JcC<$JcC<$JcC<$JcC<$JcEmmJcC<$
3734     V>oc[JcC<$JcC<$JcC<$JcC<$JcC<$b5[%mJcDSHkl?;7irAHIJcC<$JcC<$JcC<$JcC<$JcGWI
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3757     JcC<$JcC<$JcC<$JcC<$JcEmmJcC<$V>oc[JcC<$JcC<$JcC<$JcC<$JcC<$b5[%mJcDSHkl?;7
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3759     JcC<$JcC<$JcC<$JcC<$JcEmmJcC<$V>oc[JcC<$JcC<$JcC<$JcC<$JcC<$b5[%mJcDSHkl?;7
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4039     JcC<$JcFp5JH16$JH16$JH2MHJcC<$jT"HEJcC<$JcC<$JcFp5JH16$JH16$JH2MHJcC<$jT"HE
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4043     JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6
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4045     JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$
4046     JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6
4047     JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7
4048     JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$
4049     JcC<$JcFp5klAp,_>o/eJcC<$JcEmmkl?;7JcFg2kl?;7JcC<$JcC<$kPscHbQ#*QJcC<$JcC<$
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4051     kPscHbQ"mKJcC<$JcC<$g&L::JcC<$jT"HEJcC<$JcC<$JcFp5klAp,nc72>li;V:JcC<$JcFO*
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4053     JcFp5klAp,nc6l5nc47@JcC<$JcFX-kl?;7JcFg2kl?;7JcC<$JcC<$kPscHbQ%,5bQ%#2JcC<$
4054     JcC<$irA6CJcC<$jT"HEJcC<$JcC<$JcFp5klAp,nc6c2nc47@JcC<$JcFa0kl?;7JcFg2kl?;7
4055     JcC<$JcC<$kPscHbQ%,5aT(f2JcC<$JcC<$irA6CJcC<$jT"HEJcC<$JcC<$JcFp5klAp,nc6c2
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4057     jT"HEJcC<$JcC<$JcFp5klAp,nc6c2nc47@JcC<$JcFa0kl?;7JcFg2kl?;7JcC<$JcC<$kPscH
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4060     JcFp5klAp,ZN,RVJcC<$JcFF'kl?;7JcFg2kl?;7JcC<$JcC<$kPscHbQ#!NJcC<$JcC<$f)Ot7
4061     JcC<$jT"HEJcC<$JcC<$JcFp5klAp,[K(mYJcC<$JcF=$kl?;7JcFg2kl?;7JcC<$JcC<$kPscH
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4063     JcFg2kl?;7JcC<$JcC<$kPscHbQ%,5bQ%,5JcC<$JcC<$huDp@JcC<$jT"HEJcC<$JcC<$JcFp5
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4066     JcC<$kPscHbQ%,5`W,K/JcC<$JcC<$jo=QFJcC<$jT"HEJcC<$JcC<$JcFp5klAp,nc6Z/nc47@
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4070     JcFg2kl?;7JcC<$JcC<$kPscHbQ%,5bQ%#2JcC<$JcC<$irA6CJcC<$jT"HEJcC<$JcC<$JcFp5
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4072     huDp@JcC<$jT"HEJcC<$JcC<$JcFp5klAp,YQ07SJcC<$JcFO*kl?;7JcFg2kl?;7JcC<$JcC<$
4073     kPscHbQ"mKJcC<$JcC<$g&L::JcC<$jT"HEJcC<$JcC<$JcFp5klAp,\H%3\JcC<$JcF4!kl?;7
4074     JcFg2kl?;7JcC<$JcC<$kPscHbQ#EZJcC<$JcC<$b5^]+JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7
4075     JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$
4076     JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6
4077     JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7
4078     JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$
4079     JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6
4080     JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7
4081     JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$
4082     JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7JcC<$JcC<$ec4k6
4083     JcC<$jT"HEJcC<$JcC<$JcFp5kl?;7M#[,JJcF*sp],mFPlKtJJcC<$jT"HEJcC<$JcC<$JcFp5
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4086     JcFp5kl?;7[K#n"i;`HMJcFF'mf7q=PlH:7JH3%WJcC<$JcC<$JcFp5kl?;7[K#n"i;`HMJcFO*
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4088     JcFp5kl?;7[K#n"i;`HMJcFj3nc8[ho`0RCPlH:7JH3%WJcC<$JcC<$JcFp5kl?;7^Am*kl2UV\
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4092     JcC<$JcC<$JcE%Ukl?;7[K#n"JcDVIo`0RCPlKtJJcC<$JcC<$JcC<$JcE%Ukl?;7[K#n"JcDVI
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4095     JcC<$JcC<$JcC<$ZN'.hJcE.Xo`2>ua8i@Bo`0RCPlKtJJcC<$JcC<$JcC<$JcE%Ukl?;7[K#n"
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4097     JcC<$JcE%Ukl?;7[K#n"JcDVIo`0RCPlKtJJcC<$JcC<$JcC<$JcE%Ukl?;7[K#n"JcDVIo`0RC
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4100     JcC<$JcE%Ukl?;7[K#IkJcE%Uo`0RCPlKtJJcC<$JcC<$JcC<$JcE%Ukl?;7ZN'7kJcE%Uo`0RC
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4102     JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%U
4103     kl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$
4104     JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$
4105     JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$
4106     JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6
4107     JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$
4108     ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$
4109     JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7
4110     JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%U
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4113     JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$
4114     JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6
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4116     ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$
4117     JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7
4118     JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%U
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4120     JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$
4121     JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$
4122     JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6
4123     JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$
4124     ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$
4125     JcC<$ec4k6JcC<$JcC<$JcC<$JcE%Ukl?;7JcC<$JcC<$ec4k6JcC<$JcC<$JcC<$JcE%UJH16$
4126     JH16$JH2MHJcC<$JcC<$JcC<$JcE%UJH16$JH16$JH2MHJcC<$JcC<$JcC<$JcE%UJH16$JH16$
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4129     JcC<$JcC<$JcE%UJH16$JH16$JH2MHJcC<$JcC<$JcC<$JcE%UJcC<$TE"-UJcC<$JcC<$JcC<$
4130     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4131     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4132     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4133     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4134     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4135     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4136     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4137     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
4138     JcC<$JcC<$d/S[sJcDABkl?;7JcC<$JcC<$JcC<$JcC<$JcF*sJcC<$TE"-UJcC<$JcC<$JcC<$
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4246     JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$
4247     JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@
4248     JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$
4249     JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@
4250     JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$
4251     JcE%UklBZAnc72>nc66#nc47@JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc66#nc47@
4252     JcC<$R/cCNJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6,unc47@JcC<$S,_^QJcC<$JcC<$JcC<$
4253     JcE%UklBZAnc72>nc6,unc6?&qZ)3IJcC<$k5XZGJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6,u
4254     nc6?&nc47@JcC<$n,MVPJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6,unc6H)mf7q=JcC<$n,MVP
4255     JcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6#rnc6Q,nc47@JcC<$m/Q;MJcC<$JcC<$JcC<$JcE%U
4256     klBZAnc72>nc6#rnc6Z/mf7q=JcC<$m/Q;MJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc5oonc6c2
4257     nc47@JcC<$l2TuJJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc5oomf:Z5mf7q=JcC<$l2TuJJcC<$
4258     JcC<$JcC<$JcE%UklBZAnc72>nc5flmf:l;mf7q=JcC<$k5XZGJcC<$JcC<$JcC<$JcE%UklBZA
4259     nc72>nc5]ili>uDkl?;7JcC<$k5XZGJcC<$JcC<$JcC<$JcE%UklBZAnc72>[K,@fklC)MjoBu4
4260     JcC<$j8\?DJcC<$JcC<$JcC<$JcE%UklBZAnc72>[K,7c^AribJcC<$i;`$AJcC<$JcC<$JcC<$
4261     JcE%UklBZAnc72>[K,.`a8gekJcC<$gAgC;JcC<$JcC<$JcC<$JcE%UklBZAnc72>[K+qZe,Y("
4262     JcC<$eGnb5JcC<$JcC<$JcC<$JcE%Ukl?;7VZ5cYJcC<$JcEpnkl?;7JcC<$JcC<$JcC<$ZN'.h
4263     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4264     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4265     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4266     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4267     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4268     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4269     JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4270     JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4271     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4272     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4273     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4274     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4275     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4276     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4277     JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4278     JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4279     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4280     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4281     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4282     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4283     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4284     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4285     JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4286     JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4287     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4288     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4289     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4290     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4291     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4292     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4293     JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4294     JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4295     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4296     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4297     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4298     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4299     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4300     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4301     JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4302     JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4303     JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4304     ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4305     JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4306     JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4307     JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4308     kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4309     JcF:#kl?;7JcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$
4310     V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)H
4311     JcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$
4312     JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$
4313     JcC<$ZN#LUJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$f)G~> Z
4314     ; F1S2A Ji
4315     1590 1657 M (Figure )[26 12 26 26 16 23 0]xS
4316     1731 1657 M (4)S
4317     1754 1657 M (: Periodic IS)[14 12 12 28 23 16 12 26 26 12 23 12 12 0]xS
4318     F0S2A Ji
4319     1275 1854 M (CONSTANT EXECUTION TIME ISRS)[30 33 30 28 26 28 30 26 12 28 27 28 30 30 26 12 33 30 12 26 12 35 28 12 12 28 30 0]xS
4320     1275 1952 M (Figure )[26 10 23 23 14 23 0]xS
4321     1413 1952 M (5)S
4322     1436 1952 M ( depicts an ISR with constant execution time.)[19 23 23 23 10 21 12 20 19 23 23 19 12 28 30 20 29 10 12 23 20 21 23 23 20 12 23 23 12 20 23 22
4323     23 21 23 12 10 23 23 20 12 10 36 23 0]xS
4324     1275 2000 M (This ISR is a typical companion to Figure )[26 23 10 20 26 12 28 30 26 10 20 27 23 27 12 21 23 10 21 23 10 27 21 23 36 23 23 23 10 23 23 27
4325     12 23 27 26 10 23 23 14 23 0]xS
4326     2170 2000 M (4)S
4327     2193 2000 M (, as a)[12 27 23 20 27 0]xS
4328     1275 2048 M (\223timetick\224 ISR often has a constant execution time. On)[14 12 10 36 23 12 10 21 21 14 15 12 28 30 15 23 13 12 23 23 15 23 23 20 15 23 15 21 23 23 20 12
4329     23 23 12 15 23 22 23 21 23 12 10 23 23 16 12 10 36 23 12 16 16 33 0]xS
4330     1275 2099 M (the transition out of RTPI, the OE )[12 23 23 15 12 14 23 23 20 10 12 10 23 23 15 23 23 12 15 23 13 15 30 26 28 12 12 15 12 23 23 15
4331     33 28 0]xS
4332     F4S2A Ji
4333     1929 2099 M (s)S
4334     F0S2A Ji
4335     1954 2099 M ( is sent to the IS to)[15 10 20 16 20 23 23 12 16 12 23 16 12 23 23 16 12 28 16 12 0]xS
4336     1275 2147 M (effect a state change)[23 13 13 23 21 12 20 23 20 20 12 23 12 23 20 21 23 23 23 23 0]xS
4337     F0S1B Ji
4338     1689 2126 M (9)S
4339     F0S2A Ji
4340     1704 2147 M (, and an elapsed timer is reset.)[12 20 23 23 23 20 23 23 20 23 10 23 23 20 23 23 20 12 10 36 23 14 20 10 20 20 14 23 20 23 12 0]xS
4341     1275 2195 M (The SS EHM remains in its single configuration until the)[26 23 23 13 28 28 13 28 30 35 13 14 23 36 23 10 23 20 13 10 23 13 10 12 20 13 20 10 23 23 10 23
4342     13 21 23 23 13 10 23 23 14 23 12 10 23 23 14 23 23 12 10 10 14 12 23 0]xS
4343     1275 2243 M (modeled constant execution time K is exhausted, then it)[36 23 23 23 10 23 23 13 21 23 23 20 12 23 23 12 13 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13
4344     28 13 10 20 13 23 22 23 23 23 20 12 23 23 12 14 12 23 23 23 14 10 0]xS
4345     1275 2291 M (returns to the RTPI configuration.)[14 23 12 23 14 23 20 12 12 23 12 12 23 23 12 30 26 28 12 12 21 23 23 13 10 23 23 14 23 12 10 23
4346     23 0]xS
4347     1275 2868 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4348     1635 2868 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4349     : N 1275 2857 600 2 rp C
4350     L ; F0S1B Ji
4351     1275 2895 M (9)S
4352     F0S2A Ji
4353     1290 2916 M ( This is an application of design rule \(3\), the ISR can)[12 26 23 10 20 12 10 20 12 23 23 12 23 23 23 10 10 21 23 12 10 23 23 12 23 13 12 23 23 20 10 23
4354     23 12 14 23 10 23 12 14 23 14 12 12 12 23 23 12 12 28 30 12 21 23 0]xS
4355     1275 2964 M (assume that the IS is asserting an interrupt; otherwise,)[23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 12 12 28 12 10 20 12 23 20 20 23 14 12 10 23 23 12
4356     23 23 12 10 23 12 23 14 14 23 23 12 12 12 23 12 23 23 14 29 10 20 23 0]xS
4357     1275 3012 M (the guard in the SS model would prevent the ISR from)[12 23 23 12 23 23 23 14 23 12 10 23 12 12 23 23 12 28 28 12 36 23 23 23 10 12 29 23 23 10 23 12
4358     23 14 23 23 23 23 12 12 12 23 23 12 12 28 30 12 13 14 23 0]xS
4359     1275 3060 M (being entered.)[23 23 10 23 23 12 23 23 12 23 14 23 23 0]xS
4360     LH
4361     (%%[Page: 8]%%) =
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4371    
4372     0 0 0 1 scol 1185 3158 M (9)S
4373     0 Lj 2 Lc 9 Lw : 86 144 547 626 rc N 554 649 M 554 723 I 164 723 I 164 222 I : 0.938 0.938 +S K
4374     ; ; 0 Lw N 164 186 M 186 231 I 143 231 I C
4375     : O ; : 0.938 0.938 +S K
4376     ; 9 Lw : 471 117 157 376 rc N 549 179 M 549 414 I : 0.938 0.938 +S K
4377     ; ; 0 Lw N 549 449 M 528 405 I 571 405 I C
4378     : O ; : 0.938 0.938 +S K
4379     ; 9 Lw N 404 449 M 704 449 I 704 649 I 404 649 I 404 449 I C
4380     : 1 1 1 1 scol O ; : 0.938 0.938 +S K
4381     ; /F0S29 F0 [41.281 0 0 -41.281 0 0 ] mFS
4382     F0S29 Ji
4383     521 562 M (t'=1)[12 8 24 0]xS
4384     N 458 128 203 47 rp C
4385     1 1 1 1 scol L 0 0 0 1 scol 458 166 M (From RTPI)[26 14 23 35 11 30 26 27 0]xS
4386     0.004 0 0 1 scol /F0S29 F0 [41.531 0 0 -41.531 0 0 ] mFS
4387     F0S29 Ji
4388     565 271 M ([G)[11 0]xS
4389     /F0S1B F0 [27.02 0 0 -27.02 0 0 ] mFS
4390     F0S1B Ji
4391     609 278 M (N)S
4392     F0S29 Ji
4393     628 271 M ( )S
4394     /F4S29 F4 [41.531 0 0 -41.531 0 0 ] mFS
4395     F4S29 Ji
4396     640 271 M <D9>S
4397     F0S29 Ji
4398     665 271 M ( )S
4399     F4S29 Ji
4400     676 271 M <D8>S
4401     F0S29 Ji
4402     706 271 M (G)S
4403     F0S1B Ji
4404     739 278 M (1)S
4405     F0S29 Ji
4406     754 271 M ( )S
4407     F4S29 Ji
4408     765 271 M <D9>S
4409     F0S29 Ji
4410     790 271 M ( )S
4411     F4S29 Ji
4412     802 271 M <D8>S
4413     F0S29 Ji
4414     831 271 M (G)S
4415     F0S1B Ji
4416     864 278 M (2)S
4417     F0S29 Ji
4418     879 271 M ( )S
4419     F4S29 Ji
4420     891 271 M <D9>S
4421     F0S29 Ji
4422     916 271 M ( \205 )[11 42 0]xS
4423     F4S29 Ji
4424     980 271 M <D9>S
4425     F0S29 Ji
4426     1005 271 M ( )S
4427     F4S29 Ji
4428     1017 271 M <D8>S
4429     F0S29 Ji
4430     1046 271 M (G)S
4431     F0S1B Ji
4432     1079 278 M (N-1)[20 9 0]xS
4433     F0S29 Ji
4434     1123 271 M (])S
4435     565 319 M (t=0)[11 24 0]xS
4436     F4S29 Ji
4437     565 369 M (s)S
4438     N 87 134 154 47 rp C
4439     1 1 1 1 scol L 0 0 0 1 scol F0S29 Ji
4440     87 172 M (To RTPI)[26 23 11 30 26 27 0]xS
4441     /F0S29 F0 [41.723 0 0 -41.723 0 0 ] mFS
4442     F0S29 Ji
4443     574 725 M ([t )[11 12 0]xS
4444     /F4S29 F4 [41.723 0 0 -41.723 0 0 ] mFS
4445     F4S29 Ji
4446     608 725 M <B3>S
4447     F0S29 Ji
4448     631 725 M ( K])[12 28 0]xS
4449     F1S2A Ji
4450     205 908 M (Figure )[26 12 26 26 16 23 0]xS
4451     346 908 M (5)S
4452     369 908 M (: Constant Execution Time ISR)[14 12 12 30 26 26 23 14 23 26 14 12 28 23 23 23 26 14 12 26 26 12 27 12 37 23 12 12 28 0]xS
4453     F0S2A Ji
4454     75 1007 M (It is easy to see that through the introduction of an)[12 12 24 10 20 24 23 23 20 21 24 12 23 24 20 23 23 24 12 23 23 12 24 12 23 14 23 23 23 23 24 12
4455     23 23 24 10 23 12 14 23 23 23 21 12 10 23 23 24 23 13 24 23 0]xS
4456     75 1055 M (additional configuration, a constant execution time ISR)[23 23 23 10 12 10 23 23 23 10 17 21 23 23 13 10 23 23 14 23 12 10 23 23 12 17 23 18 21 23 23 20
4457     12 23 23 12 18 23 22 23 21 23 12 10 23 23 18 12 10 36 23 18 12 28 0]xS
4458     75 1103 M (can include a startup delay before it interacts with the)[21 23 23 18 10 23 21 10 23 23 23 18 23 19 20 12 23 14 12 23 23 19 23 23 10 23 21 19 23 23 13 23
4459     14 23 19 10 12 19 10 23 12 23 14 23 21 12 20 19 29 10 12 23 19 12 23 0]xS
4460     75 1151 M (IS. In practice, an ISR is almost never free to)[12 28 12 32 32 12 23 32 23 14 23 21 12 10 21 23 12 32 23 23 32 12 28 30 32 10 20 32 23 10 36 23
4461     20 12 32 23 23 23 23 14 32 13 14 23 23 32 12 0]xS
4462     75 1199 M (immediately interact with an IS when it begins)[10 36 36 23 23 10 23 12 23 10 21 40 10 23 12 23 14 23 21 12 40 29 10 12 23 40 23 23 40 12 28 41
4463     29 23 23 23 41 10 12 41 23 23 23 10 23 0]xS
4464     75 1247 M (execution. We hinted previously that the AIL never)[23 22 23 21 23 12 10 23 23 12 24 24 42 23 24 23 10 23 12 23 23 24 23 14 23 23 10 23 23 20 10 21
4465     24 12 23 23 12 24 12 23 23 24 28 12 23 24 23 23 23 23 0]xS
4466     75 1295 M (appears directly in an EHM. It should be clear from the)[23 23 23 23 23 14 20 14 23 10 14 23 21 12 10 21 14 10 23 14 23 23 14 28 30 35 12 14 14 12 12 14
4467     20 23 23 23 10 23 14 23 23 14 21 10 23 23 14 15 13 14 23 36 15 12 23 0]xS
4468     75 1343 M (notion of this type of startup delay that both the ISR)[23 23 12 10 23 23 21 23 13 21 12 23 10 20 21 12 21 23 23 21 23 13 21 20 12 23 14 12 23 23 21 23
4469     23 10 23 21 22 12 23 23 12 22 23 23 12 23 22 12 23 23 22 12 28 0]xS
4470     75 1391 M (EHM and the IS EHM need to be considered)[28 30 35 40 23 23 23 40 12 23 23 40 12 28 40 28 30 35 40 23 23 23 23 40 12 23 40 23 23 41 21 23
4471     23 20 10 23 23 14 23 0]xS
4472     75 1439 M (simultaneously to calculate the AIL from the EHM)[20 10 36 23 10 12 23 23 23 23 23 20 10 21 30 12 23 30 21 23 10 21 23 10 23 12 23 30 12 23 23 31
4473     28 12 23 31 13 14 23 36 31 12 23 23 31 28 30 0]xS
4474     75 1487 M (models.)[36 23 23 23 10 20 0]xS
4475     75 1683 M (ALTERNATING EXECUTION TIME ISRS)[28 23 26 28 30 30 28 26 12 30 33 12 28 27 28 30 30 26 12 33 30 12 26 12 35 28 12 12 28 30 0]xS
4476     75 1781 M (In practice, it often occurs that an ISR will vary its)[12 23 25 23 14 23 21 12 10 21 23 12 25 10 12 25 23 13 12 23 23 25 23 21 21 23 14 20 25 12 23 23
4477     12 25 23 23 25 12 28 30 25 29 10 10 10 25 23 23 14 21 25 10 12 0]xS
4478     75 1829 M (execution time in a repeating pattern. Such patterns are)[23 22 23 21 23 12 10 23 23 12 12 10 36 23 12 10 23 12 23 12 14 23 23 23 23 12 10 23 23 12 23 23
4479     12 12 23 14 23 12 13 13 28 23 21 23 13 23 23 12 12 23 14 23 20 13 23 14 0]xS
4480     75 1877 M (especially common in \223timetick\224 ISRs which have been)[23 20 23 23 21 10 23 10 10 21 16 21 23 36 36 23 23 17 10 23 17 14 12 10 36 23 12 10 21 21 14 17
4481     12 28 30 20 17 29 23 10 21 23 17 23 23 23 23 17 23 23 23 0]xS
4482     75 1925 M (\223divided down\224; that is, implemented so as to perform)[14 23 10 23 10 23 23 23 19 23 23 29 23 14 12 19 12 23 23 12 19 10 20 12 19 10 36 23 10 23 36 23
4483     23 12 23 23 20 20 23 20 23 20 20 12 23 20 23 23 14 13 23 14 0]xS
4484     75 1973 M (their primary function during only a rational fraction of)[12 23 23 10 14 18 23 14 10 36 23 14 21 18 13 23 23 21 12 10 23 23 19 23 23 14 10 23 23 19 23 23
4485     10 21 19 23 19 14 23 12 10 23 23 23 10 19 13 14 23 21 12 10 23 23 19 23 0]xS
4486     75 2021 M (their invocations.)[12 23 23 10 14 12 10 23 23 23 21 23 12 10 23 23 20 0]xS
4487     75 2119 M (Figure )[26 10 23 23 14 23 0]xS
4488     214 2119 M (6)S
4489     237 2119 M ( depicts an ISR with an alternating execution)[20 23 23 23 10 21 12 20 20 23 23 20 12 28 30 21 29 10 12 23 21 23 23 21 23 10 12 23 14 23 23 12
4490     10 23 23 21 23 22 23 21 23 12 10 23 0]xS
4491     75 2167 M (time. The execution time of this ISR alternates between)[12 10 36 23 12 12 12 26 23 23 12 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13 23 13 13 12 23 10
4492     20 13 12 28 30 13 23 10 12 23 14 23 23 12 23 20 13 23 23 12 29 23 23 0]xS
4493     75 2215 M (P)S
4494     F0S1B Ji
4495     103 2221 M (1)S
4496     F0S2A Ji
4497     118 2215 M ( and P)[23 23 23 23 23 0]xS
4498     F0S1B Ji
4499     261 2221 M (2)S
4500     F0S2A Ji
4501     276 2215 M ( in an A-B-A-B-\205 pattern. This ISR is a)[24 10 23 24 23 23 24 28 14 28 14 28 14 28 14 42 24 23 23 12 12 23 14 23 12 24 24 26 23 10 20 24
4502     12 28 30 24 10 20 24 0]xS
4503     75 2263 M (typical companion to Figure )[12 21 23 10 21 23 10 16 21 23 36 23 23 23 10 23 23 17 12 23 17 26 10 23 23 14 23 0]xS
4504     621 2263 M (4)S
4505     644 2263 M (. Note that an additional)[12 17 17 30 23 12 23 17 12 23 23 12 17 23 23 17 23 23 23 10 12 10 23 23 23 0]xS
4506     75 2311 M (continuous variable )[21 23 23 12 10 23 23 23 23 20 18 23 23 14 10 23 23 10 23 0]xS
4507     F2S2A Ji
4508     461 2311 M (x)S
4509     F0S2A Ji
4510     482 2311 M ( is used to allow the ISR to hold)[19 10 20 19 23 20 23 23 19 12 23 19 23 10 10 23 29 19 12 23 23 19 12 28 30 19 12 23 19 23 23 10
4511     0]xS
4512     75 2360 M (state between modeled invocations. It is easy to see)[20 12 23 12 23 19 23 23 12 29 23 23 23 19 36 23 23 23 10 23 23 20 10 23 23 23 21 23 12 10 23 23
4513     20 12 20 20 12 12 20 10 20 20 23 23 20 21 20 12 23 20 20 23 0]xS
4514     75 2408 M (that this mechanism can be extended to arbitrary)[12 23 23 12 32 12 23 10 20 32 36 23 21 23 23 23 10 20 36 32 21 23 23 32 23 23 32 23 22 12 23 23
4515     23 23 23 33 12 23 33 23 14 23 10 12 14 23 14 0]xS
4516     75 2456 M (repeating patterns.)[14 23 23 23 23 12 10 23 23 12 23 23 12 12 23 14 23 20 0]xS
4517     N 1889 214 M 1889 313 I : 0.43 0.43 +S K
4518     ; 0 Lw N 1889 329 M 1879 309 I 1899 309 I C
4519     : O ; : 0.43 0.43 +S K
4520     ; 9 Lw : 1279 186 187 288 rc N 1421 421 M 1421 455 I 1323 455 I 1323 230 I : 0.43 0.43 +S K
4521     ; ; 0 Lw N 1323 214 M 1333 234 I 1313 234 I C
4522     : O ; : 0.43 0.43 +S K
4523     ; 9 Lw N 1410 214 M 1410 271 I 1421 271 I 1421 313 I : 0.43 0.43 +S K
4524     ; 0 Lw N 1421 329 M 1411 309 I 1431 309 I C
4525     : O ; : 0.43 0.43 +S K
4526     ; 9 Lw N 1352 329 M 1490 329 I 1490 421 I 1352 421 I 1352 329 I C
4527     : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4528     ; /F0S12 F0 [18.969 0 0 -18.969 0 0 ] mFS
4529     F0S12 Ji
4530     1406 382 M (t'=1)[5 4 11 0]xS
4531     0.004 0 0 1 scol /F0S15 F0 [21.16 0 0 -21.16 0 0 ] mFS
4532     F0S15 Ji
4533     1437 237 M ([x)[6 0]xS
4534     /F4S15 F4 [21.16 0 0 -21.16 0 0 ] mFS
4535     F4S15 Ji
4536     1454 238 M <A3>S
4537     F0S15 Ji
4538     1465 237 M (0 )[12 0]xS
4539     F4S15 Ji
4540     1483 238 M <D9>S
4541     F0S15 Ji
4542     1496 237 M ( G)[6 0]xS
4543     /F0S0D F0 [13.34 0 0 -13.34 0 0 ] mFS
4544     F0S0D Ji
4545     1519 241 M (N)S
4546     F0S15 Ji
4547     1528 237 M ( )S
4548     F4S15 Ji
4549     1534 238 M <D9>S
4550     F0S15 Ji
4551     1547 237 M ( )S
4552     F4S15 Ji
4553     1553 238 M <D8>S
4554     F0S15 Ji
4555     1568 237 M (G)S
4556     F0S0D Ji
4557     1585 241 M (1)S
4558     F0S15 Ji
4559     1592 237 M ( )S
4560     F4S15 Ji
4561     1598 238 M <D9>S
4562     F0S15 Ji
4563     1611 237 M ( )S
4564     F4S15 Ji
4565     1617 238 M <D8>S
4566     F0S15 Ji
4567     1632 237 M (G)S
4568     F0S0D Ji
4569     1649 241 M (2)S
4570     F0S15 Ji
4571     1656 237 M ( )S
4572     F4S15 Ji
4573     1662 238 M <D9>S
4574     F0S15 Ji
4575     1675 237 M ( \205 )[6 21 0]xS
4576     F4S15 Ji
4577     1708 238 M <D9>S
4578     F0S15 Ji
4579     1721 237 M ( )S
4580     F4S15 Ji
4581     1727 238 M <D8>S
4582     F0S15 Ji
4583     1743 237 M (G)S
4584     F0S0D Ji
4585     1759 241 M (N-1)[10 4 0]xS
4586     F0S15 Ji
4587     1781 237 M (])S
4588     1437 261 M (t=0)[6 13 0]xS
4589     1437 286 M (x=1)[11 12 0]xS
4590     F4S15 Ji
4591     1437 312 M (s)S
4592     /F0S15 F0 [21.258 0 0 -21.258 0 0 ] mFS
4593     F0S15 Ji
4594     1432 451 M ([t )[6 6 0]xS
4595     /F4S15 F4 [21.258 0 0 -21.258 0 0 ] mFS
4596     F4S15 Ji
4597     1450 452 M <B3>S
4598     F0S15 Ji
4599     1461 451 M ( P)[6 0]xS
4600     /F0S0D F0 [13.398 0 0 -13.398 0 0 ] mFS
4601     F0S0D Ji
4602     1482 455 M (1)S
4603     F0S15 Ji
4604     1489 451 M (])S
4605     0 0 0 1 scol : 1275 117 746 142 rc N 1280 122 M 1976 122 I 1976 214 I 1280 214 I 1280 122 I C
4606     : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4607     ; ; F0S12 Ji
4608     1607 174 M (RTPI)[14 11 13 0]xS
4609     : 1755 186 183 288 rc N 1893 421 M 1893 455 I 1799 455 I 1799 230 I : 0.43 0.43 +S K
4610     ; ; 0 Lw N 1799 213 M 1809 233 I 1789 233 I C
4611     : O ; : 0.43 0.43 +S K
4612     ; 9 Lw N 1822 329 M 1963 329 I 1963 421 I 1822 421 I 1822 329 I C
4613     : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4614     ; 1878 382 M (t'=1)[5 4 11 0]xS
4615     0.004 0 0 1 scol /F0S15 F0 [21.176 0 0 -21.176 0 0 ] mFS
4616     F0S15 Ji
4617     1908 235 M ([x>0 )[6 10 13 12 0]xS
4618     /F4S15 F4 [21.176 0 0 -21.176 0 0 ] mFS
4619     F4S15 Ji
4620     1955 236 M <D9>S
4621     F0S15 Ji
4622     1967 235 M ( G)[6 0]xS
4623     /F0S0D F0 [13.348 0 0 -13.348 0 0 ] mFS
4624     F0S0D Ji
4625     1990 239 M (N)S
4626     F0S15 Ji
4627     2000 235 M ( )S
4628     F4S15 Ji
4629     2006 236 M <D9>S
4630     F0S15 Ji
4631     2019 235 M ( )S
4632     F4S15 Ji
4633     2025 236 M <D8>S
4634     F0S15 Ji
4635     2040 235 M (G)S
4636     F0S0D Ji
4637     2056 239 M (1)S
4638     F0S15 Ji
4639     2064 235 M ( )S
4640     F4S15 Ji
4641     2070 236 M <D9>S
4642     F0S15 Ji
4643     2083 235 M ( )S
4644     F4S15 Ji
4645     2089 236 M <D8>S
4646     F0S15 Ji
4647     2104 235 M (G)S
4648     F0S0D Ji
4649     2120 239 M (2)S
4650     F0S15 Ji
4651     2128 235 M ( )S
4652     F4S15 Ji
4653     2134 236 M <D9>S
4654     F0S15 Ji
4655     2147 235 M ( \205 )[6 21 0]xS
4656     F4S15 Ji
4657     2180 236 M <D9>S
4658     F0S15 Ji
4659     2193 235 M ( )S
4660     F4S15 Ji
4661     2199 236 M <D8>S
4662     F0S15 Ji
4663     2214 235 M (G)S
4664     F0S0D Ji
4665     2230 239 M (N-1)[10 4 0]xS
4666     F0S15 Ji
4667     2252 235 M (])S
4668     1908 259 M (t=0)[6 12 0]xS
4669     1908 284 M (x=0)[10 13 0]xS
4670     F4S15 Ji
4671     1908 310 M (s)S
4672     0 0 0 1 scol /F0S15 F0 [21.352 0 0 -21.352 0 0 ] mFS
4673     F0S15 Ji
4674     1910 451 M ([t )[6 6 0]xS
4675     /F4S15 F4 [21.352 0 0 -21.352 0 0 ] mFS
4676     F4S15 Ji
4677     1927 451 M <B3>S
4678     F0S15 Ji
4679     1939 451 M ( P)[6 0]xS
4680     /F0S0D F0 [13.461 0 0 -13.461 0 0 ] mFS
4681     F0S0D Ji
4682     1959 455 M (2)S
4683     F0S15 Ji
4684     1967 451 M (])S
4685     F1S2A Ji
4686     1385 564 M (Figure )[26 12 26 26 16 23 0]xS
4687     1526 564 M (6)S
4688     1549 564 M (: Alternating Execution Time ISR)[14 12 12 29 12 14 23 16 26 23 14 12 26 26 12 28 23 23 23 26 14 12 26 26 12 27 12 37 23 12 12 28
4689     0]xS
4690     F0S2A Ji
4691     1275 761 M (QUEUED RECEIVER PERIPHERAL INTERRUPT)[33 30 28 30 28 30 50 30 28 30 28 12 28 28 30 51 28 28 30 12 28 30 28 30 28 23 51 12 30 26 28 30
4692     30 30 28 0]xS
4693     1275 809 M (SOURCE AND ISR)[28 33 30 30 30 28 12 28 30 30 12 12 28 0]xS
4694     1275 907 M (In practical systems, primarily due to queued ISs, an)[12 23 21 23 14 23 21 12 10 21 23 10 21 20 21 20 12 23 36 20 12 21 23 14 10 36 23 14 10 10 21 22
4695     23 23 23 22 12 23 22 23 23 23 23 23 23 22 12 28 20 12 22 23 0]xS
4696     1275 955 M (ISR may have an execution time that increases with)[12 28 30 22 36 23 21 22 23 23 23 23 22 23 23 22 23 22 23 21 23 12 10 23 23 23 12 10 36 23 23 12
4697     23 23 12 23 10 23 21 14 23 23 20 23 20 23 29 10 12 0]xS
4698     1275 1003 M (increasing interrupt latency. Phrased more colloquially,)[10 23 21 14 23 23 20 10 23 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 12 15 15 28
4699     23 14 23 20 23 23 16 36 23 14 23 16 21 23 10 10 23 23 23 10 23 10 10 21 0]xS
4700     1275 1051 M (the longer you wait, the worse it can get. We feel that)[12 23 23 16 10 23 23 23 23 14 16 21 23 23 16 29 23 10 12 12 16 12 23 23 16 29 23 14 20 23 16 10
4701     12 16 21 23 23 16 23 23 12 12 16 16 42 23 16 13 23 23 10 17 12 23 23 0]xS
4702     1275 1099 M (any modeling framework must capture this aspect of a)[23 23 21 17 36 23 23 23 10 10 23 23 17 13 14 23 36 23 29 23 14 21 17 36 23 20 12 17 21 23 23 12
4703     23 14 23 18 12 23 10 20 18 23 20 23 23 21 12 18 23 13 18 0]xS
4704     1275 1147 M (practical system. An example of a typical queued)[23 14 23 21 12 10 21 23 10 27 20 21 20 12 23 36 12 27 27 28 23 28 23 22 23 36 23 10 23 28 23 13
4705     28 23 28 12 21 23 10 21 23 10 28 23 23 23 23 23 0]xS
4706     1275 1195 M (communication peripheral is the 16550 UART, which)[21 23 36 36 23 23 10 21 23 12 10 23 23 24 23 23 14 10 23 23 23 14 23 10 24 10 20 24 12 23 23 24
4707     23 23 23 23 23 24 30 28 30 26 12 25 29 23 10 21 0]xS
4708     1275 1243 M (contains a queue of 16 bytes.)[21 23 23 12 23 10 23 20 12 23 12 23 23 23 23 23 12 23 13 12 23 23 12 23 21 12 23 20 0]xS
4709     1275 1341 M (We are aware of two modeling approaches that can)[42 23 23 23 14 23 23 23 29 23 14 23 23 23 13 24 12 29 23 24 36 23 23 23 10 10 23 23 24 23 23 23
4710     14 23 23 21 23 23 20 24 12 23 23 12 24 21 23 0]xS
4711     1275 1389 M (treat such devices within the framework of hybrid)[12 14 23 23 12 32 20 23 21 23 32 23 23 23 10 21 23 20 32 29 10 12 23 10 23 32 12 23 23 32 13 14
4712     23 36 23 29 23 14 21 32 23 13 33 23 21 23 14 10 0]xS
4713     1275 1437 M (system EHM models.)[20 21 20 12 23 36 12 28 30 35 12 36 23 23 23 10 20 0]xS
4714     1275 1535 M (1. )[23 12 0]xS
4715     1322 1535 M ( )S
4716     1350 1535 M (The queued IS can be modeled as having a)[26 23 23 32 23 23 23 23 23 23 32 12 28 32 21 23 23 32 23 23 33 36 23 23 23 10 23 23 33 23 20 33
4717     23 23 23 10 23 23 33 0]xS
4718     1350 1583 M (continuous queue state \(although a practical IS will)[21 23 23 12 10 23 23 23 23 20 16 23 23 23 23 23 16 20 12 23 12 23 16 14 23 10 12 23 23 23 23 23
4719     17 23 17 23 14 23 21 12 10 21 23 10 17 12 28 17 29 10 10 0]xS
4720     1350 1631 M (have a discrete queue state\). This is the approach)[23 23 23 23 15 23 16 23 10 20 21 14 23 12 23 16 23 23 23 23 23 16 20 12 23 12 23 14 12 16 16 26
4721     23 10 20 16 10 20 16 12 23 23 16 23 23 23 14 23 23 21 0]xS
4722     1350 1679 M (presented here.)[23 14 23 20 23 23 12 23 23 12 23 23 14 23 0]xS
4723     1275 1777 M (2. )[23 12 0]xS
4724     1322 1777 M ( )S
4725     1350 1777 M (The queued IS can be modeled as having a discrete)[26 23 23 12 23 23 23 23 23 23 12 12 28 12 21 23 23 13 23 23 13 36 23 23 23 10 23 23 13 23 20 13
4726     23 23 23 10 23 23 13 23 13 23 10 20 21 14 23 12 0]xS
4727     1350 1825 M (queue state, i.e. the queue state can be captured in)[23 23 23 23 23 14 20 12 23 12 23 12 14 10 12 23 12 14 12 23 23 14 23 23 23 23 23 14 20 12 23 12
4728     23 15 21 23 23 15 23 23 15 21 23 23 12 23 14 23 23 15 10 0]xS
4729     1350 1873 M (the EHM configuration. For an IS containing a small)[12 23 23 12 28 30 35 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 26 23 14 12 23 23 12 12
4730     28 12 21 23 23 12 23 10 23 10 23 23 12 23 13 20 36 23 10 0]xS
4731     1350 1921 M (queue, this approach is practical. We will not supply)[23 23 23 23 23 12 12 12 23 10 20 12 23 23 23 14 23 23 21 23 12 10 20 12 23 14 23 21 12 10 21 23
4732     10 12 12 12 42 23 12 29 10 10 10 12 23 23 12 13 20 23 23 23 10 0]xS
4733     1350 1969 M (the details here, as this approach is intuitive.)[12 23 23 12 23 23 12 23 10 10 20 12 23 23 14 23 12 12 23 20 12 12 23 10 20 12 23 23 23 14 23 23
4734     21 23 12 10 20 12 10 23 12 23 10 12 10 23 23 0]xS
4735     LH
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4737     %%PageTrailer
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4742     %%BeginPageSetup
4743     /DeviceRGB dup setcolorspace /colspABC exch def
4744     mysetup concat colspRefresh
4745     %%EndPageSetup
4746    
4747     0 0 0 1 scol 1185 3158 M (1)S
4748     1208 3158 M (0)S
4749     0 Lj 2 Lc 9 Lw N 806 719 M 806 424 I 402 424 I : 0.879 0.879 +S K
4750     ; 0 Lw N 369 424 M 410 403 I 410 444 I C
4751     : O ; : 0.879 0.879 +S K
4752     ; 9 Lw N 369 1203 M 806 1203 I 806 940 I : 0.879 0.879 +S K
4753     ; 0 Lw N 806 907 M 826 948 I 785 948 I C
4754     : O ; : 0.879 0.879 +S K
4755     ; 9 Lw : 154 117 149 255 rc N 228 128 M 228 297 I : 0.879 0.879 +S K
4756     ; ; 0 Lw N 228 330 M 208 289 I 249 289 I C
4757     : O ; : 0.879 0.879 +S K
4758     ; 9 Lw : 76 256 368 337 rc N 87 330 M 369 330 I 369 518 I 87 518 I 87 330 I C
4759     : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4760     ; ; /F0S26 F0 [38.777 0 0 -38.777 0 0 ] mFS
4761     F0S26 Ji
4762     181 436 M (q' = 0)[22 8 10 23 11 0]xS
4763     251 169 M (q=0 )[22 22 23 0]xS
4764     251 218 M (RSSV=0)[28 25 26 25 23 0]xS
4765     95 378 M (A)S
4766     N 228 523 M 228 688 I : 0.879 0.879 +S K
4767     ; 0 Lw N 228 722 M 207 680 I 248 680 I C
4768     : O ; : 0.879 0.879 +S K
4769     ; 9 Lw : 76 648 368 336 rc N 87 722 M 369 722 I 369 909 I 87 909 I 87 722 I C
4770     : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4771     ; ; 171 827 M (q' = R)[22 8 11 23 10 0]xS
4772     /F0S16 F0 [22.914 0 0 -22.914 0 0 ] mFS
4773     F0S16 Ji
4774     273 824 M (1)S
4775     F0S26 Ji
4776     101 773 M (B)S
4777     /F4S2A F4 [42.754 0 0 -42.754 0 0 ] mFS
4778     F4S2A Ji
4779     250 614 M (s)S
4780     /F0S1A F0 [26.953 0 0 -26.953 0 0 ] mFS
4781     F0S1A Ji
4782     275 621 M (1)S
4783     : N 250 618 25 2 rp C
4784     L ; N 228 909 M 228 1076 I : 0.879 0.879 +S K
4785     ; 0 Lw N 228 1109 M 207 1068 I 248 1068 I C
4786     : O ; : 0.879 0.879 +S K
4787     ; 9 Lw : 76 1035 368 337 rc N 87 1109 M 369 1109 I 369 1297 I 87 1297 I 87 1109 I C
4788     : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4789     ; ; F0S26 Ji
4790     171 1215 M (q' = R)[22 8 11 23 10 0]xS
4791     F0S16 Ji
4792     273 1212 M (1)S
4793     F0S26 Ji
4794     95 1160 M (C)S
4795     N 228 1302 M 228 1467 I : 0.879 0.879 +S K
4796     ; 0 Lw N 228 1501 M 207 1459 I 248 1459 I C
4797     : O ; : 0.879 0.879 +S K
4798     ; 9 Lw : 76 1427 368 272 rc N 87 1501 M 369 1501 I 369 1688 I 87 1688 I 87 1501 I C
4799     : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4800     ; ; /F0S2E F0 [46.707 0 0 -46.707 0 0 ] mFS
4801     F0S2E Ji
4802     192 1610 M (ILC)[14 26 0]xS
4803     F0S26 Ji
4804     101 1551 M (E)S
4805     N 665 719 M 947 719 I 947 907 I 665 907 I 665 719 I C
4806     : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4807     ; 722 825 M (q' = R)[22 8 11 22 11 0]xS
4808     F0S16 Ji
4809     824 821 M (1)S
4810     F0S26 Ji
4811     837 825 M (-R)[14 0]xS
4812     F0S16 Ji
4813     879 821 M (2)S
4814     F0S26 Ji
4815     676 765 M (D)S
4816     /F0S2A F0 [42.844 0 0 -42.844 0 0 ] mFS
4817     F0S2A Ji
4818     245 985 M ([q )[12 25 0]xS
4819     /F4S2A F4 [42.844 0 0 -42.844 0 0 ] mFS
4820     F4S2A Ji
4821     294 985 M <B3>S
4822     F0S2A Ji
4823     317 985 M ( L)[13 0]xS
4824     /F0S1B F0 [27.008 0 0 -27.008 0 0 ] mFS
4825     F0S1B Ji
4826     353 992 M (1)S
4827     F0S2A Ji
4828     368 985 M (])S
4829     245 1034 M (RSSV=1)[31 28 29 28 25 0]xS
4830     0.004 0 0 1 scol /F4S2B F4 [43.352 0 0 -43.352 0 0 ] mFS
4831     F4S2B Ji
4832     582 1170 M (s)S
4833     /F0S1B F0 [27.332 0 0 -27.332 0 0 ] mFS
4834     F0S1B Ji
4835     607 1177 M (2)S
4836     : N 582 1175 25 2 rp C
4837     0 0 0 1 scol L ; 0 0 0 1 scol /F0S2B F0 [43.148 0 0 -43.148 0 0 ] mFS
4838     F0S2B Ji
4839     820 614 M ([q )[12 24 0]xS
4840     /F4S2B F4 [43.148 0 0 -43.148 0 0 ] mFS
4841     F4S2B Ji
4842     869 614 M <A3>S
4843     F0S2B Ji
4844     893 614 M ( 0])[12 24 0]xS
4845     : 820 625 167 48 rc 820 664 M (RSSV=0)[31 28 29 29 25 0]xS
4846     ; 0.004 0 0 1 scol /F0S2B F0 [43.34 0 0 -43.34 0 0 ] mFS
4847     F0S2B Ji
4848     254 1397 M ([q )[12 25 0]xS
4849     /F4S2B F4 [43.34 0 0 -43.34 0 0 ] mFS
4850     F4S2B Ji
4851     303 1397 M <B3>S
4852     F0S2B Ji
4853     327 1397 M ( L)[12 0]xS
4854     /F0S1B F0 [27.324 0 0 -27.324 0 0 ] mFS
4855     F0S1B Ji
4856     363 1405 M (2)S
4857     F0S2B Ji
4858     379 1397 M (])S
4859     0 0 0 1 scol F1S2A Ji
4860     153 1789 M (Figure )[26 12 26 26 16 23 0]xS
4861     294 1789 M (7)S
4862     317 1789 M (: EHM Model Of Queued Receiver IS)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 33 26 23 26 23 26 12 30 23 23 23 12 23 23 16 12
4863     12 0]xS
4864     F0S2A Ji
4865     75 1988 M (We prefer modeling the queue state as continuous, as it)[42 23 13 23 14 23 13 23 14 13 36 23 23 23 10 10 23 23 13 12 23 23 13 23 23 23 23 23 13 20 12 23
4866     12 23 13 23 20 14 21 23 23 12 10 23 23 23 23 20 12 14 23 20 14 10 0]xS
4867     75 2036 M (reduces the number of configurations in the resulting)[14 23 23 23 21 23 20 22 12 23 23 22 23 23 36 23 23 14 22 23 13 22 21 23 23 13 10 23 23 14 23 12
4868     10 23 23 20 23 10 23 23 12 23 23 23 14 23 20 23 10 12 10 23 0]xS
4869     75 2084 M (CHM. In practical systems, an ISR tends to loop until)[30 30 35 12 17 17 12 23 18 23 14 23 21 12 10 21 23 10 18 20 21 20 12 23 36 20 12 18 23 23 18 12
4870     28 30 18 12 23 23 23 20 18 12 23 18 10 23 23 23 18 23 23 12 10 0]xS
4871     75 2132 M (the IS queue is depleted, and the execution time cost)[12 23 23 19 12 28 19 23 23 23 23 23 19 10 20 19 23 23 23 10 23 12 23 23 12 19 23 23 23 19 12 23
4872     23 19 23 22 23 21 23 12 10 23 23 19 12 10 36 23 19 21 23 20 0]xS
4873     75 2180 M (per item removed is approximately constant. We feel)[23 23 14 18 10 12 23 36 18 14 23 36 23 23 23 23 18 10 20 18 23 23 23 14 23 22 10 36 23 12 23 10
4874     21 19 21 23 23 20 12 23 23 12 12 19 19 42 23 19 13 23 23 0]xS
4875     75 2228 M (fairly confident in modeling a queue with a discrete state)[13 23 10 14 10 21 12 21 23 23 13 10 23 23 23 12 12 10 23 12 36 23 23 23 10 10 23 23 12 23 13 23
4876     23 23 23 23 13 29 10 12 23 13 23 13 23 10 20 21 14 23 12 23 13 20 12 23 12 0]xS
4877     75 2276 M (using a continuous variable, in that the continuous)[23 20 10 23 23 29 23 29 21 23 23 12 10 23 23 23 23 20 29 23 23 14 10 23 23 10 23 12 29 10 23 29
4878     12 23 23 12 29 12 23 23 30 21 23 23 12 10 23 23 23 23 0]xS
4879     75 2324 M (model of the ISR can be designed to require at least as)[36 23 23 23 10 14 23 13 14 12 23 23 14 12 28 30 14 21 23 23 14 23 23 14 23 23 20 10 23 23 23 23
4880     15 12 23 15 14 23 23 23 10 14 23 15 23 12 15 10 23 23 20 12 15 23 0]xS
4881     75 2372 M (much execution time as the discrete model, in the same)[36 23 21 23 13 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13 23 20 13 12 23 23 13 23 10 20 21 14
4882     23 12 23 13 36 23 23 23 10 12 13 10 23 14 12 23 23 14 20 23 36 0]xS
4883     75 2423 M (sense as )[20 23 23 20 23 12 23 20 0]xS
4884     F4S2A Ji
4885     251 2423 M (")S
4886     F0S2A Ji
4887     280 2423 M (x, )[22 12 0]xS
4888     27450 VM?
4889     /TT1A2b00
4890     [42 0 0 0 0 0 ]
4891     256 array 0 1 255 {1 index exch /.notdef put} for
4892     [0 0 0 0 ]
4893     [1 42 div 0 0 -1 42 div 0 0 ]
4894     /__TT1A2b00
4895     GreNewFont
4896     T32RsrcBegin
4897    
4898     1
4899     /Geb [16 0 0 -39 14 3 ]
4900     /Geb [14 42 true [1 0 0 1 0 39 ] 0 0]
4901     [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
4902     ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.Ms8;op~>
4903     ]
4904     /TT1A2b00 AddT3T32Char
4905     T32RsrcEnd
4906     F /F8 0 /0 F /TT1A2b00 mF
4907     /F8S29 F8 [41.926 0 0 -41.926 0 0 ] mFS
4908     F8S29 Ji
4909     326 2423 M <01>S
4910     F0S2A Ji
4911     342 2423 M (x)S
4912     450 VM?
4913     T32RsrcBegin
4914    
4915     2
4916     /Gfb [16 0 1 -39 15 3 ]
4917     /Gfb [14 42 true [1 0 0 1 -1 39 ] 0 0]
4918     [<~!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9
4919     !"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9s8;op~>
4920     ]
4921     /TT1A2b00 AddT3T32Char
4922     T32RsrcEnd
4923     F8S29 Ji
4924     364 2423 M <02>S
4925     F0S2A Ji
4926     380 2423 M ( )S
4927     F4S2A Ji
4928     392 2423 M <A3>S
4929     F0S2A Ji
4930     415 2423 M ( x. However, we do not claim that this)[12 22 12 12 12 30 23 29 23 23 23 14 12 12 29 23 12 23 23 12 23 23 12 12 21 10 23 10 36 12 12 23
4931     23 12 12 12 23 10 0]xS
4932     75 2471 M (replacement of a discrete queue state by a continuous)[14 23 23 10 23 21 23 36 23 23 12 17 23 13 17 23 17 23 10 20 21 14 23 12 23 18 23 23 23 23 23 18
4933     20 12 23 12 23 18 23 21 18 23 18 21 23 23 12 10 23 23 23 23 0]xS
4934     75 2519 M (queue state is mathematically valid or without potential)[23 23 23 23 23 16 20 12 23 12 23 16 10 20 16 36 23 12 23 23 36 23 12 10 21 23 10 10 21 16 23 23
4935     10 10 23 17 23 14 17 29 10 12 23 23 23 12 17 23 23 12 23 23 12 10 23 0]xS
4936     75 2567 M (peril)[23 23 14 10 0]xS
4937     F0S1B Ji
4938     155 2546 M (10)[15 0]xS
4939     F0S2A Ji
4940     185 2567 M (.)S
4941     75 2676 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4942     435 2676 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4943     : N 75 2665 600 2 rp C
4944     L ; F0S1B Ji
4945     75 2703 M (10)[15 0]xS
4946     F0S2A Ji
4947     105 2724 M ( The implicit \(and invalid\) assumption behind such a)[12 26 23 23 12 10 36 23 10 10 21 10 12 12 14 23 23 23 12 10 23 23 23 10 10 23 14 12 23 20 20 23
4948     36 23 12 10 23 23 12 23 23 23 10 23 23 12 20 23 21 23 12 0]xS
4949     75 2772 M (substitution is that a longer ISR execution time is)[20 23 23 20 12 10 12 23 12 10 23 23 12 10 20 12 12 23 23 12 12 23 12 10 23 23 23 23 14 12 12 28
4950     30 12 23 22 23 21 23 12 10 23 23 12 12 10 36 23 12 10 0]xS
4951     75 2820 M (\223worse\224, so that a system which shows AIL compatibility)[14 29 23 14 20 23 14 12 12 20 23 12 12 23 23 12 12 23 12 20 21 20 12 23 36 12 29 23 10 21 23 12
4952     20 23 23 29 20 12 28 12 23 12 21 23 36 23 23 12 10 23 10 10 10 12 0]xS
4953     75 2868 M (with the continuous IS model will also show AIL)[29 10 12 23 12 12 23 23 12 21 23 23 12 10 23 23 23 23 20 12 12 28 12 36 23 23 23 10 12 29 10 10
4954     10 12 23 10 20 23 12 20 23 23 29 12 28 12 0]xS
4955     75 2916 M (compatibility with the discrete IS model. Although we)[21 23 36 23 23 12 10 23 10 10 10 12 21 12 29 10 12 23 12 12 23 23 12 23 10 20 21 14 23 12 23 12
4956     12 28 12 36 23 23 23 10 12 12 12 28 10 12 23 23 23 23 23 12 29 0]xS
4957     75 2964 M (believe this logical implication will hold for almost any)[23 23 10 10 23 23 23 12 12 23 10 20 12 10 23 23 10 21 23 10 12 10 36 23 10 10 21 23 12 10 23 23
4958     12 29 10 10 10 12 23 23 10 23 12 13 23 14 12 23 10 36 23 20 12 12 23 23 0]xS
4959     75 3012 M (practical system, it will not hold in the general case, and)[23 14 23 21 12 10 21 23 10 12 20 21 20 12 23 36 12 12 10 12 12 29 10 10 10 12 23 23 12 12 23 23
4960     10 23 12 10 23 12 12 23 23 12 23 23 23 23 14 23 10 12 21 23 20 23 12 12 23 23 0]xS
4961     75 3060 M (this can be shown by a compact counterexample.)[12 23 10 20 12 21 23 23 12 23 23 12 20 23 23 29 23 12 23 21 12 23 12 21 23 36 23 23 21 12 12 21
4962     23 23 23 12 23 14 23 22 23 36 23 10 23 0]xS
4963     : 1356 240 645 674 rc N 1922 805 M 1922 879 I 1434 879 I 1434 318 I : 0.938 0.934 +S K
4964     ; ; 0 Lw N 1434 282 M 1456 327 I 1413 327 I C
4965     : O ; : 0.938 0.934 +S K
4966     ; 9 Lw : 1835 215 157 434 rc N 1913 279 M 1913 570 I : 0.938 0.934 +S K
4967     ; ; 0 Lw N 1913 606 M 1891 562 I 1934 562 I C
4968     : O ; : 0.938 0.934 +S K
4969     ; 9 Lw N 1772 606 M 2072 606 I 2072 805 I 1772 805 I 1772 606 I C
4970     : 1 1 1 1 scol O ; : 0.938 0.934 +S K
4971     ; /F0S2E F0 [46.063 0 0 -46.063 0 0 ] mFS
4972     F0S2E Ji
4973     1950 400 M ([RSSV > 0])[13 33 31 31 30 13 27 13 26 0]xS
4974     /F4S2E F4 [46.063 0 0 -46.063 0 0 ] mFS
4975     F4S2E Ji
4976     1950 457 M (s)S
4977     /F0S1D F0 [29.039 0 0 -29.039 0 0 ] mFS
4978     F0S1D Ji
4979     1977 463 M (2)S
4980     /F0S2E F0 [46.23 0 0 -46.23 0 0 ] mFS
4981     F0S2E Ji
4982     1968 873 M ([RSSV )[13 33 30 31 30 0]xS
4983     /F4S2E F4 [46.23 0 0 -46.23 0 0 ] mFS
4984     F4S2E Ji
4985     2118 874 M <A3>S
4986     F0S2E Ji
4987     2144 873 M ( 0])[13 25 0]xS
4988     N 1811 226 203 47 rp C
4989     1 1 1 1 scol L 0 0 0 1 scol /F0S29 F0 [41.227 0 0 -41.227 0 0 ] mFS
4990     F0S29 Ji
4991     1811 264 M (From RTPI)[26 14 23 35 11 30 25 28 0]xS
4992     N 1346 230 177 47 rp C
4993     1 1 1 1 scol L 0 0 0 1 scol 1346 268 M (To RTPI )[25 24 11 30 25 28 11 11 0]xS
4994     F1S2A Ji
4995     1338 1004 M (Figure )[26 12 26 26 16 23 0]xS
4996     1479 1004 M (8)S
4997     1502 1004 M (: EHM Model Of Queued Receiver ISR)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 33 26 23 26 23 26 12 30 23 23 23 12 23 23 16 12
4998     12 28 0]xS
4999     F0S2A Ji
5000     1275 1201 M (Figures )[26 10 23 23 14 23 20 0]xS
5001     1426 1201 M (7)S
5002     1449 1201 M ( and )[12 23 23 23 0]xS
5003     1542 1201 M (8)S
5004     1565 1201 M ( show EHM models of a queued receiver)[12 20 23 23 29 12 28 30 35 13 36 23 23 23 10 20 13 23 13 13 23 13 23 23 23 23 23 23 13 14 23 21
5005     23 10 23 23 0]xS
5006     1275 1249 M (IS and the associated ISR, respectively. In interpreting)[12 28 15 23 23 23 15 12 23 23 15 23 20 20 23 21 10 23 12 23 23 15 12 28 30 12 15 14 23 20 23 23
5007     21 12 10 23 23 10 21 12 16 16 12 23 16 10 23 12 23 14 23 14 23 12 10 23 0]xS
5008     1275 1297 M (the figures, assume that )[12 23 23 16 13 10 23 23 14 23 20 12 16 23 20 20 23 36 23 16 12 23 23 12 0]xS
5009     F2S2A Ji
5010     1750 1297 M (q)S
5011     F0S2A Ji
5012     1773 1297 M ( represents the occupancy of)[16 14 23 23 14 23 20 23 23 12 20 16 12 23 23 16 23 21 21 23 23 23 23 21 21 16 23 0]xS
5013     1275 1346 M (the queue, that the IS will assert a hardware interrupt)[12 23 23 19 23 23 23 23 23 12 19 12 23 23 12 19 12 23 23 20 12 28 20 29 10 10 10 20 23 20 20 23
5014     14 12 20 23 20 23 23 14 23 29 23 14 23 20 10 23 12 23 14 14 23 23 0]xS
5015     1275 1394 M (when the queue fills to L)[29 23 23 23 16 12 23 23 16 23 23 23 23 23 17 13 10 10 10 20 17 12 23 17 0]xS
5016     F0S1B Ji
5017     1750 1400 M (1)S
5018     F0S2A Ji
5019     1765 1394 M (, that the queue has capacity)[12 17 12 23 23 12 17 12 23 23 17 23 23 23 23 23 17 23 23 20 17 21 23 23 23 21 10 12 0]xS
5020     1275 1442 M (L)S
5021     F0S1B Ji
5022     1298 1448 M (2)S
5023     F0S2A Ji
5024     1313 1442 M (, that the queue can fill at the rate R)[12 19 12 23 23 12 19 12 23 23 19 23 23 23 23 23 19 21 23 23 19 13 10 10 10 19 23 12 19 12 23 23
5025     19 14 23 12 23 19 0]xS
5026     F0S1B Ji
5027     2044 1448 M (1)S
5028     F0S2A Ji
5029     2059 1442 M (, and that the)[12 19 23 23 23 19 12 23 23 12 19 12 23 0]xS
5030     1275 1490 M (software can empty the queue at rate R)[20 23 13 12 29 23 14 23 12 21 23 23 12 23 36 23 12 21 12 12 23 23 12 23 23 23 23 23 12 23 12 12
5031     14 23 12 23 12 0]xS
5032     F0S1B Ji
5033     2008 1496 M (2)S
5034     F0S2A Ji
5035     2023 1490 M (.)S
5036     1275 1588 M (The IS EHM \(Figure )[26 23 23 19 12 28 19 28 30 35 19 14 26 10 23 23 14 23 0]xS
5037     1690 1588 M (7)S
5038     1713 1588 M (\) begins in configuration A with)[14 20 23 23 23 10 23 20 20 10 23 20 21 23 23 13 10 23 23 14 23 12 10 23 23 20 28 20 29 10 12 0]xS
5039     1275 1636 M (q=0 \(an empty queue\) and RSSV=0 \(not requesting)[23 25 23 25 14 23 23 25 23 36 23 12 21 25 23 23 23 23 23 14 25 23 23 23 26 30 28 28 28 25 23 26
5040     14 23 23 12 26 14 23 23 23 23 20 12 10 23 0]xS
5041     1275 1684 M (CPU attention\). At an arbitrary time, environmental)[30 28 30 25 23 12 12 23 23 12 10 23 23 14 12 25 25 28 12 25 23 23 25 23 14 23 10 12 14 23 14 21
5042     25 12 10 36 23 12 26 23 23 23 10 14 23 23 36 23 23 12 23 0]xS
5043     1275 1735 M (input event )[10 23 23 23 12 14 23 23 23 23 12 0]xS
5044     F4S2A Ji
5045     1498 1735 M (s)S
5046     F0S1B Ji
5047     1523 1741 M (1)S
5048     F0S2A Ji
5049     1538 1735 M ( will cause the IS to assume configuration)[14 29 10 10 10 14 21 23 23 20 23 14 12 23 23 14 12 28 14 12 23 14 23 20 20 23 36 23 15 21 23 23
5050     13 10 23 23 14 23 12 10 23 0]xS
5051     : N 1498 1740 24 2 rp C
5052     L ; 1275 1783 M (B. In configuration B, the queue begins to fill at rate R)[28 12 13 13 12 23 13 21 23 23 13 10 23 23 14 23 12 10 23 23 13 28 12 13 12 23 23 13 23 23 23 23
5053     23 13 23 23 23 10 23 20 13 12 23 13 13 10 10 10 13 23 12 13 14 23 12 23 14 0]xS
5054     F0S1B Ji
5055     2298 1789 M (1)S
5056     F0S2A Ji
5057     2313 1783 M (.)S
5058     1275 1831 M (When the queue reaches L)[42 23 23 23 43 12 23 23 43 23 23 23 23 23 44 14 23 23 21 23 23 20 44 0]xS
5059     F0S1B Ji
5060     1903 1837 M (1)S
5061     F0S2A Ji
5062     1918 1831 M (, the IS assumes)[12 44 12 23 23 44 12 28 44 23 20 20 23 36 23 0]xS
5063     1275 1879 M (configuration C, in which it is requesting attention from)[21 23 23 13 10 23 23 14 23 12 10 23 23 16 30 12 17 10 23 17 29 23 10 21 23 17 10 12 17 10 20 17
5064     14 23 23 23 23 20 12 10 23 23 17 23 12 12 23 23 12 10 23 23 17 13 14 23 0]xS
5065     1275 1927 M (the CPU. If the software ISR fails to intervene in time)[12 23 23 16 30 28 30 12 16 16 12 13 16 12 23 23 17 20 23 13 12 29 23 14 23 17 12 28 30 17 13 23
5066     10 10 20 17 12 23 17 10 23 12 23 14 23 23 23 23 17 10 23 17 12 10 36 0]xS
5067     1275 1975 M (and the queue reaches L)[23 23 23 25 12 23 23 25 23 23 23 23 23 25 14 23 23 21 23 23 20 25 0]xS
5068     F0S1B Ji
5069     1787 1981 M (2)S
5070     F0S2A Ji
5071     1802 1975 M (, the ILC will be entered;)[12 26 12 23 23 26 12 23 30 26 29 10 10 10 26 23 23 26 23 23 12 23 14 23 23 0]xS
5072     1275 2026 M (otherwise the ISR will send event )[23 12 23 23 14 29 10 20 23 18 12 23 23 18 12 28 30 18 29 10 10 10 18 20 23 23 23 18 23 23 23 23
5073     12 0]xS
5074     F4S2A Ji
5075     1941 2026 M (s)S
5076     F0S1B Ji
5077     1966 2032 M (2)S
5078     F0S2A Ji
5079     1981 2026 M (, which will cause)[12 19 29 23 10 21 23 19 29 10 10 10 19 21 23 23 20 0]xS
5080     : N 1941 2031 24 2 rp C
5081     L ; 1275 2074 M (the queue to empty at the rate R)[12 23 23 16 23 23 23 23 23 16 12 23 16 23 36 23 12 21 16 23 12 16 12 23 23 16 14 23 12 23 16 0]xS
5082     F0S1B Ji
5083     1905 2080 M (1)S
5084     F0S2A Ji
5085     1920 2074 M (-R)[14 0]xS
5086     F0S1B Ji
5087     1964 2080 M (2)S
5088     F0S2A Ji
5089     1979 2074 M ( until the queue is)[16 23 23 12 10 10 16 12 23 23 16 23 23 23 23 23 17 10 0]xS
5090     1275 2122 M (empty. The ISR EHM model \(Figure )[23 36 23 12 21 12 15 16 26 23 23 16 12 28 30 16 28 30 35 16 36 23 23 23 10 16 14 26 10 23 23 14
5091     23 0]xS
5092     1996 2122 M (8)S
5093     2019 2122 M (\) is substantially)[14 16 10 20 16 20 23 23 20 12 23 23 12 10 23 10 10 0]xS
5094     1275 2170 M (simpler, it simply waits in a configuration for the IS)[20 10 36 23 10 23 14 12 24 10 12 24 20 10 36 23 10 21 24 29 23 10 12 20 24 10 23 25 23 25 21 23
5095     23 13 10 23 23 14 23 12 10 23 23 25 13 23 14 25 12 23 23 25 12 0]xS
5096     1275 2218 M (queue to empty.)[23 23 23 23 23 12 12 23 12 23 36 23 12 21 0]xS
5097     1275 2414 M (NON-ATOMIC ISRS)[30 33 30 14 28 26 33 35 12 30 12 12 28 30 0]xS
5098     1275 2512 M (By )[28 21 0]xS
5099     F2S2A Ji
5100     1337 2512 M (atomic ISR)[23 12 23 35 9 21 13 11 28 0]xS
5101     F0S2A Ji
5102     1542 2512 M ( we mean an ISR which will always run to)[13 29 23 13 36 23 23 23 14 23 23 14 12 28 30 14 29 23 10 21 23 14 29 10 10 10 14 23 10 29 23 21
5103     20 14 14 23 23 14 12 0]xS
5104     1275 2561 M (completion because it cannot be interrupted by any)[21 23 36 23 10 23 12 10 23 23 26 23 23 21 23 23 20 23 26 10 12 26 21 23 23 23 23 12 27 23 23 27
5105     10 23 12 23 14 14 23 23 12 23 23 27 23 21 27 23 23 0]xS
5106     1275 2609 M (other ISR. We have found that software developers)[23 12 23 23 14 22 12 28 30 12 22 22 42 23 22 23 23 23 23 22 13 23 23 23 23 23 12 23 23 12 23 20
5107     23 13 12 29 23 14 23 23 23 23 23 23 10 23 23 23 14 0]xS
5108     1275 2657 M (intuitively avoid non-atomic ISRs. Most experienced)[10 23 12 23 10 12 10 23 23 10 21 23 23 23 23 10 23 24 23 23 23 14 23 12 23 36 10 21 24 12 28 30
5109     20 12 24 24 35 23 20 12 24 23 22 23 23 14 10 23 23 21 23 0]xS
5110     1275 2705 M (software developers have seen more than one elusive)[20 23 13 12 29 23 14 23 18 23 23 23 23 10 23 23 23 14 20 18 23 23 23 23 18 20 23 23 23 18 36 23
5111     14 23 19 12 23 23 23 19 23 23 23 19 23 10 23 20 10 23 0]xS
5112     1275 2753 M (software defect traced to improper treatment of)[20 23 13 12 29 23 14 23 41 23 23 13 23 21 12 41 12 14 23 21 23 23 41 12 23 41 10 36 23 14 23 23
5113     23 14 41 12 14 23 23 12 36 23 23 12 42 23 0]xS
5114     1275 2801 M (interrupts, and consequently will intuitively attempt to)[10 23 12 23 14 14 23 23 12 20 12 23 23 23 23 23 21 23 23 20 23 23 23 23 23 12 10 21 23 29 10 10
5115     10 23 10 23 12 23 10 12 10 23 23 10 21 23 23 12 12 23 36 23 12 23 12 0]xS
5116     1275 2849 M (limit the freedom of the SS by allowing only atomic)[10 10 36 10 12 23 12 23 23 23 13 14 23 23 23 23 36 23 23 13 23 12 23 23 24 28 28 24 23 21 24 23
5117     10 10 23 29 10 23 23 24 23 23 10 21 24 23 12 23 36 10 0]xS
5118     1275 2897 M (ISRs. Most microprocessor SSs involve only atomic)[12 28 30 20 12 22 23 35 23 20 12 23 36 10 21 14 23 23 14 23 21 23 20 20 23 14 23 28 28 20 23 10
5119     23 23 23 10 23 23 23 23 23 10 21 23 23 12 23 36 10 0]xS
5120     1275 2945 M (ISRs.)[12 28 30 20 0]xS
5121     LH
5122     (%%[Page: 10]%%) =
5123     %%PageTrailer
5124    
5125     %%Page: 11 11
5126     %%PageBoundingBox: 18 8 593 784
5127     %%EndPageComments
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5129     /DeviceRGB dup setcolorspace /colspABC exch def
5130     mysetup concat colspRefresh
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5132    
5133     0 0 0 1 scol 1185 3158 M (1)S
5134     1208 3158 M (1)S
5135     75 156 M (It occasionally occurs, however, that a collection of ISs)[12 12 16 23 21 21 23 20 10 23 23 23 10 10 21 16 23 21 21 23 14 20 12 16 23 23 29 23 23 23 14 12
5136     16 12 23 23 12 16 23 16 21 23 10 10 23 21 12 10 23 23 16 23 13 17 12 28 0]xS
5137     75 204 M (and ISRs are mutually incompatible with respect to AIL,)[23 23 23 14 12 28 30 20 14 23 14 23 14 36 23 12 23 23 10 10 21 14 10 23 21 23 36 23 23 12 10 23
5138     10 23 15 29 10 12 23 15 14 23 20 23 23 21 12 15 12 23 15 28 12 23 0]xS
5139     75 252 M (and that compatibility can be achieved by making at)[23 23 23 22 12 23 23 12 22 21 23 36 23 23 12 10 23 10 10 10 12 21 22 21 23 23 22 23 23 23 23 21
5140     23 10 23 23 23 23 23 23 21 23 36 23 21 10 23 23 23 23 0]xS
5141     75 300 M (least one ISR interruptible by higher-priority ISRs.)[10 23 23 20 12 33 23 23 23 33 12 28 30 33 10 23 12 23 14 14 23 23 12 10 23 10 23 33 23 21 34 23
5142     10 23 23 23 14 14 23 14 10 23 14 10 12 21 34 12 28 30 20 0]xS
5143     75 348 M (Fortunately, most microprocessor interrupt hardware is)[26 23 14 12 23 23 23 12 23 10 21 12 19 36 23 20 12 19 36 10 21 14 23 23 14 23 21 23 20 20 23 14
5144     19 10 23 12 23 14 14 23 23 12 19 23 23 14 23 29 23 14 23 20 10 0]xS
5145     75 396 M (very flexible, in that substantial control is available over)[23 23 14 21 14 13 10 23 22 10 23 10 23 12 14 10 23 14 12 23 23 12 14 20 23 23 20 12 23 23 12 10
5146     23 10 14 21 23 23 12 14 23 10 14 10 20 15 23 23 23 10 10 23 23 10 23 15 23 23 23 0]xS
5147     75 444 M (when a certain priority of ISR can be interrupted, and by)[29 23 23 23 13 23 13 21 23 14 12 23 10 23 13 23 14 10 23 14 10 12 21 13 23 13 13 12 28 30 13 21
5148     23 23 13 23 23 13 10 23 12 23 14 14 23 23 12 23 23 12 14 23 23 23 14 23 0]xS
5149     75 492 M (which other ISRs it can be interrupted.)[29 23 10 21 23 12 23 12 23 23 14 12 12 28 30 20 12 10 12 12 21 23 23 12 23 23 12 10 23 12 23 14
5150     14 23 23 12 23 23 0]xS
5151     75 590 M (If reachability analysis shows that AIL violations are)[12 13 25 14 23 23 21 23 23 23 10 10 10 12 21 25 23 23 23 10 21 20 10 20 25 20 23 23 29 20 25 12
5152     23 23 12 25 28 12 23 26 23 10 23 10 23 12 10 23 23 20 26 23 14 0]xS
5153     75 638 M (possible, we propose the following modeling and)[23 23 20 20 10 23 10 23 12 37 29 23 37 23 14 23 23 23 20 23 37 12 23 23 37 13 23 10 10 23 29 10
5154     23 23 37 36 23 23 23 10 10 23 23 38 23 23 0]xS
5155     75 686 M (software design approach to create a system without)[20 23 13 12 29 23 14 23 22 23 23 20 10 23 23 23 23 23 23 14 23 23 21 23 23 12 23 23 21 14 23 23
5156     12 23 23 23 23 20 21 20 12 23 36 23 29 10 12 23 23 23 0]xS
5157     75 734 M (potential AIL violations.)[23 23 12 23 23 12 10 23 10 12 28 12 23 12 23 10 23 10 23 12 10 23 23 20 0]xS
5158     75 832 M (A lower-priority ISR should be divided into an integral)[28 19 10 23 29 23 14 14 23 14 10 23 14 10 12 21 19 12 28 30 19 20 23 23 23 10 23 20 23 23 20 23
5159     10 23 10 23 23 23 20 10 23 12 23 20 23 23 20 10 23 12 23 23 14 23 0]xS
5160     75 880 M (number of segments of approximately equal execution)[23 23 36 23 23 14 18 23 13 18 20 23 23 36 23 23 12 20 18 23 13 19 23 23 23 14 23 22 10 36 23 12
5161     23 10 21 19 23 23 23 23 10 19 23 22 23 21 23 12 10 23 0]xS
5162     75 928 M (time. The number of segments must be chosen so as to)[12 10 36 23 12 12 12 26 23 23 12 23 23 36 23 23 14 12 23 13 12 20 23 23 36 23 23 12 20 12 36 23
5163     20 12 12 23 23 13 21 23 23 20 23 23 13 20 23 13 23 20 13 12 0]xS
5164     75 976 M (relieve the AIL problem and create a system where no)[14 23 10 10 23 23 23 17 12 23 23 17 28 12 23 17 23 14 23 23 10 23 36 17 23 23 23 17 21 14 23 23
5165     12 23 17 23 17 20 21 20 12 23 36 17 29 23 23 14 23 17 23 0]xS
5166     75 1024 M (AIL violation is possible, i.e. for a system that is almost)[28 12 23 15 23 10 23 10 23 12 10 23 23 15 10 20 15 23 23 20 20 10 23 10 23 12 15 10 12 23 12 15
5167     13 23 14 15 23 15 20 21 20 12 23 36 15 12 23 23 12 15 10 20 15 23 10 36 23 20 0]xS
5168     75 1072 M (satisfactory, N=2 \(a bisection\) would be appropriate, but)[20 23 12 10 20 13 23 21 12 23 14 21 12 13 30 25 23 14 14 23 14 23 10 20 23 21 12 10 23 23 14 14
5169     29 23 23 10 23 14 23 23 14 23 23 23 14 23 23 14 10 23 12 23 12 14 23 23 0]xS
5170     75 1120 M (for more severe timing problems a larger N may be)[13 23 14 22 36 23 14 23 23 20 23 23 23 14 23 23 12 10 36 10 23 23 23 23 14 23 23 10 23 36 20 23
5171     23 23 10 23 14 23 23 14 23 30 23 36 23 21 23 23 0]xS
5172     75 1168 M (required. Figure )[14 23 23 23 10 14 23 23 12 17 17 26 10 23 23 14 23 0]xS
5173     410 1168 M (9)S
5174     433 1168 M ( shows the SS model resulting from)[17 20 23 23 29 20 17 12 23 23 17 28 28 17 36 23 23 23 10 18 14 23 20 23 10 12 10 23 23 18 13 14
5175     23 0]xS
5176     75 1216 M (our approach \(with N=3, a trisection\) applied to a system)[23 23 14 12 23 23 23 14 23 23 21 23 12 14 29 10 12 23 12 30 25 23 12 12 23 12 12 14 10 20 23 21
5177     12 10 23 23 14 12 23 23 23 10 10 23 23 12 12 23 12 23 13 20 21 20 12 23 0]xS
5178     75 1264 M (with two ISRs, where ISR)[29 10 12 23 14 12 29 23 14 12 28 30 20 12 14 29 23 23 14 23 14 12 28 0]xS
5179     F0S1B Ji
5180     553 1270 M (1)S
5181     F0S2A Ji
5182     568 1264 M ( is the higher-priority ISR and)[14 10 20 14 12 23 23 15 23 10 23 23 23 14 14 23 14 10 23 14 10 12 21 15 12 28 30 15 23 23 0]xS
5183     75 1312 M (ISR)[12 28 0]xS
5184     F0S1B Ji
5185     145 1318 M (2)S
5186     F0S2A Ji
5187     160 1312 M ( is the lower-priority ISR. Note that the model of)[18 10 20 18 12 23 23 19 10 23 29 23 14 14 23 14 10 23 14 10 12 21 19 12 28 30 12 19 19 30 23 12
5188     23 19 12 23 23 12 19 12 23 23 19 36 23 23 23 10 19 23 0]xS
5189     75 1360 M (ISR)[12 28 0]xS
5190     F0S1B Ji
5191     145 1366 M (1)S
5192     F0S2A Ji
5193     160 1360 M ( now appears in three places in the SS EHM. Note)[13 23 23 29 14 23 23 23 23 23 14 20 14 10 23 14 12 23 14 23 23 14 23 10 23 21 23 20 14 10 23 14
5194     12 23 23 14 28 28 14 28 30 35 12 14 14 30 23 12 0]xS
5195     75 1408 M (also that the guards implement priority resolution, and)[23 10 20 23 19 12 23 23 12 19 12 23 23 19 23 23 23 14 23 20 19 10 36 23 10 23 36 23 23 12 19 23
5196     14 10 23 14 10 12 21 20 14 23 20 23 10 23 12 10 23 23 12 20 23 23 0]xS
5197     75 1456 M (only allow ISR)[23 23 10 21 12 23 10 10 23 29 12 12 28 0]xS
5198     F0S1B Ji
5199     341 1462 M (2)S
5200     F0S2A Ji
5201     356 1456 M ( to be interrupted at certain points.)[12 12 23 12 23 23 12 10 23 12 23 14 14 23 23 12 23 23 12 23 12 12 21 23 14 12 23 10 23 12 23 23
5202     10 23 12 20 0]xS
5203     : 2137 1319 24 6411 1050 647 75 1613 F F 3 [ 0 0 0 ] F
5204     X
5205     doNimage
5206     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5207     JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$JH16$JH16$JH16$
5208     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5209     irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5210     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$
5211     JcC<$PlH:7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5212     JH16$JH16$JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$JH16$
5213     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5214     JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5215     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$
5216     JcC<$JcC<$JcCu7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5217     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$
5218     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5219     JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5220     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5221     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5222     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5223     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5224     JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5225     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5226     JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5227     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5228     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5229     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5230     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5231     JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5232     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5233     JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5234     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5235     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5236     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5237     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5238     JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5239     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5240     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5241     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5242     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5243     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5244     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5245     JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5246     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5247     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5248     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5249     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5250     JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5251     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5252     JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5253     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5254     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5255     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5256     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5257     JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5258     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5259     JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5260     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5261     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5262     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5263     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5264     JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5265     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5266     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5267     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5268     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5269     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5270     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5271     JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5272     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5273     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5274     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5275     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5276     JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5277     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5278     JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5279     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5280     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5281     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5282     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5283     JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5284     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5285     JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5286     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5287     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5288     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5289     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5290     JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5291     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5292     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5293     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5294     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5295     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5296     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5297     JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5298     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5299     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5300     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5301     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5302     JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5303     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5304     JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5305     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5306     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5307     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5308     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5309     JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5310     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5311     JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5312     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5313     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5314     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5315     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5316     JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5317     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5318     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5319     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5320     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5321     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5322     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5323     JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5324     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5325     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5326     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5327     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5328     JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5329     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5330     JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5331     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5332     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5333     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5334     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5335     JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5336     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5337     JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5338     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5339     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5340     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5341     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5342     JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5343     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5344     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5345     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5346     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5347     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5348     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&JJ\fDh<?n,L$#dJrY8JcC<$JcC<$JcC<$
5349     JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5350     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'YQ3MZRfMpWZN/_Zmf7q=JcC<$JcC<$JcC<$JcC<$
5351     JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5352     JcC<$JcC<$JcC<$JcC<$JcC<$g&J&Pj8YSKn,KKii;`6GJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5353     JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5354     JcC<$JcC<$JcC<$JcFF'VZ>lZRfMpWWW;)Zmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5355     JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5356     JcC<$JcC<$g&IiJl2R4Qn,K9ck5XlMJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*he
5357     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5358     JcFF'mf:Z5klAKumf:?,mf:c8klBlGmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcDqR
5359     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5360     JcC<$g&LL@aT(T,_Z0')`W,B,bQ$o/l2U2PJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5361     YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5362     JcC<$JcFF'mf:?,mf:6)mf:?,mf:Q2li?;Mmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5363     JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5364     JcC<$JcC<$g&LL@`W,9)`W,B,`W,B,aT(T,m/QMSJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5365     JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5366     JcC<$JcC<$JcFF'mf:6)mf:?,mf:?,mf:?,mf;_Smf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5367     JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5368     JcC<$JcC<$JcC<$g&LL@_Z0')`W,B,`W,B,`W,B,m/QMSJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5369     JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5370     JcC<$JcC<$JcC<$JcFF'mf:6)mf:?,mf:?,mf:?,mf;_Smf7q=JcC<$JcC<$JcC<$JcC<$JcC<$
5371     JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5372     JcC<$JcC<$JcC<$JcC<$g&LL@_Z0')`W,B,`W,B,`W,B,m/QMSJcC<$JcC<$JcC<$JcC<$JcC<$
5373     JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$
5374     JcC<$JcC<$JcC<$JcC<$JcFF'mf:6)mf:?,mf:?,mf:?,mf;_Smf7q=JcC<$JcC<$JcC<$JcC<$
5375     JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5376     JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@_Z0')`W,B,`W,B,`W,B,m/QMSJcC<$JcC<$JcC<$JcC<$
5377     JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5378     JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:?,li>$)mf:?,mf:H/li?DPmf7q=JcC<$JcC<$JcC<$
5379     JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5380     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@aT(T,_Z0')`W,B,aT(]/l2U2PJcC<$JcC<$JcC<$
5381     JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5382     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:Q2klAU#mf:?,mf:Q2li?;Mmf7q=JcC<$JcC<$
5383     JcC<$JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5384     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@dJr>/^]3a&`W,B,cN!,/l2U2PJcC<$JcC<$
5385     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5386     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'U]A10mf:?,mf:l;joFQDmf7q=JcC<$JcC<$
5387     JcC<$JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5388     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&IrM]`7F#`W)q<j8\QJJcC<$JcC<$JcC<$JcC<$
5389     JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5390     JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'XT5g0mf:?,XT7;Zmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$
5391     JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5392     JcC<$JcC<$JcC<$JcC<$g&J8VZiBIo`W*.Bh>cpDJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5393     JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5394     JcC<$JcC<$JcFF'\H&Z0mf:?,[K+qZmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcDqR
5395     kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5396     JcC<$g&LL@j8\HGVuQ2c`W*[QcN!>5JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*he
5397     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5398     JcFF'mf;2Dmf9Bfmf:?,mf8sZmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7
5399     JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5400     g&LL@gAgUAXoIhi`W,B,T)\6ZJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$
5401     JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'
5402     mf:u>mf9Tlmf:?,mf8sZmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$
5403     JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@
5404     fDk1;ZiBIo`W,B,T)\6ZJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$
5405     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:l;
5406     li=Komf:?,mf8sZmf7q=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcDqRkl?;7JcC<$JcC<$
5407     JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@dJrP5
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5409     JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:c8li=Tr
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5411     JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@cN!52]`7F#
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5413     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:Q2li=g#mf:?,
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5415     JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@bQ$o/^]3a&`W,B,
5416     T)\6ZJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$
5417     PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFF'mf:H/li=p&mf:?,mf8sZ
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5423     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@_Z/s&aT(]/`W,B,T)\6ZJcC<$
5424     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
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5427     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$g&LL@^]3X#bQ%#2`W,B,T)\6ZJcC<$JcC<$
5428     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
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5432     JcC<$JcC<$JcC<$JcC<$JcC<$YQ*heJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5433     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5434     JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5435     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5436     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5437     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
5438     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5439     JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5440     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5441     PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5442     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$
5443     JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5444     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
5445     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5446     JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$
5447     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kI
5448     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5449     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$
5450     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5451     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5452     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5453     JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5454     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$
5455     JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5456     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$
5457     PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5458     JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5459     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5460     JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5461     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5462     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5463     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
5464     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5465     JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5466     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5467     PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5468     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$
5469     JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5470     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
5471     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5472     JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$
5473     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kI
5474     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5475     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$
5476     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5477     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5478     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5479     JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5480     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$
5481     JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5482     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$
5483     PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5484     JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5485     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5486     JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5487     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5488     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5489     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
5490     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5491     JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5492     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5493     PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5494     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$
5495     JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5496     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
5497     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5498     JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$
5499     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kI
5500     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5501     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$
5502     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5503     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5504     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5505     JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5506     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$
5507     JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5508     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$
5509     PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5510     JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5511     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5512     JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5513     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5514     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5515     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
5516     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5517     JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5518     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5519     PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5520     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$
5521     JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5522     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
5523     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5524     JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$
5525     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kI
5526     JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5527     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$
5528     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5529     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5530     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5531     JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5532     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$
5533     JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5534     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$
5535     PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5536     JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5537     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5538     JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5539     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5540     JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5541     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
5542     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5543     JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5544     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5545     PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5546     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$
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5548     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC<$JcC<$PlH:7
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5550     JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$JH16$JH16$JH16$
5551     JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH4^1
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5555     JH16$JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$JH16$JH16$
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5560     JH16$JH16$JH16$JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$
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5562     JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH=7o`*_IJcC<$JcCK)kl?;7JcC<$JcDVI
5563     irFZ1JcC<$P5jbHJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcGKEirFZ1JcC<$
5564     LB$K<JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$p&BUCp]&hFJcC<$JcCT,kl?;7JcC<$JcDVIhuJ?.
5565     JcC<$Q2g(KJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcGKEhuJ?.JcC<$M>uf?
5566     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$p&BUCp]&hFJcC<$JcCT,kl?;7JcC<$JcD_Lg&Q^(JcC<$
5567     R/cCNJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcGTHg&Q^(JcC<$N;r,BJcC<$
5568     JcC<$JcC<$JcC<$JcC<$JcC<$p&BUCqZ"qCJcC<$JcC]/kl?;7JcC<$JcD_Lg&Q^(JcC<$R/cCN
5569     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcGTHg&Q^(JcC<$N;r,BJcC<$JcC<$
5570     ]DpdhJcC<$JcC<$rVtdUJcC<$JcC<$rVt%@JcC<$JcCf2kl?;7JcC<$JcDhOe,Y("JcC<$S,_^Q
5571     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG]Ke,Y("JcC<$O8nGEgAg(2JcC<$
5572     JcC]/c2`FqJcC<$O8mK*N;qf9JcDDCJcG]Kb5d+nJcC<$O8nGEJcC<$JcC<$XT-cMJcC<$JcD5>
5573     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$rVt@IJcC<$JcCf2klBH;huJ?.
5574     JcC<$P5iB!JcC<$JcD5>_>oc!huJ?.T`9TC!<:"<JcC<$JcCo5kl?;7JcC<$JcDqRc2`FqJcC<$
5575     T)\$TJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$Jc>`Mc2`FqJcC<$P5jbHgAg(2
5576     JcC<$JcD,;[K(mYJcC<$VuO1*R/c(EJcDDCJc>`M`;kJhJcC<$P5jbHJcC<$JcC<$YQ)lJJcC<$
5577     JcD>Akl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$!<:=EJcC<$JcCo5klBH;
5578     huJ?.JcC<$S,]\mJcC<$JcDkPYQ10mhuJ?.T`9ZE^AribJcC<$Q2g(KJcC<$JcC<$ZN%uGJcC<$
5579     JcDGDkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCB&a8gekJcC<$Q2g(KgAg(2
5580     JcC<$JcDGDhuMp>irFZ1JcC<$[f>7ck5XHAT)[^KJcDDCLB"daJcC<$JcD,;kl?;7JcC<$JcE%U
5581     `;kJhJcC<$V#TZZJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$KE&mjJcC<$JcD,;
5582     klBH;nc47@JcC<$P5jYEfDjt5JcC<$JcEC_joF$5joCJBnc47@T`9cH\H%3\JcC<$R/cCNJcC<$
5583     JcC<$[K")DJcC<$JcDPGkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)_>o/e
5584     JcC<$R/cCNgAg^DJcC<$JcCo5li>6/li;V:JcC<$]`7<ubQ$o/O8nbNJcDDCM>sm^JcC<$JcD5>
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5586     LB#!gJcC<$JcD5>klBH;nc47@JcC<$Q2g1N`W,9)JcC<$JcEUeli>$)li<4Knc47@T`9uNXT3qP
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5921     JcC<$JcC<$mf2MOJcC<$JcC<$!<;0]JcC<$JcC<$VZ5l\JcC<$JcC]/li;V:JcC<$JcC<$JcC<$
5922     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$o`+.UJcC<$JcC]/f)UC%JcC<$JcC<$JcC<$JcC<$JcC<$
5923     JcG`LJcG0<kl?;7JcC<$Jc>`Mkl?;7JcC<$JcDMFkl?;7JcC<$N;r>HJcC<$JcC<$JcC<$JcC<$
5924     JcC<$JcC<$JcC<$JcC<$JcC<$JcG9?kl?;7JcC<$M>u90JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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5926     JcC<$JcC<$JcC<$JcC<$LB$K<JcC<$JcCT,h#N$+JcC<$JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<
5927     kl?nHJH16$JH16$JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$
5928     JcC<$JcC<$JcCK)kl?;7JcC<$LB$03JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5g(5
5929     JH16$JH16$JH41"JcDVIkl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5930     JcC<$LB$K<JcC<$JcCK)irFZ1JcC<$JcC<$JcC<$JcC<$JcC<$JcGNFJcG0<kl?nHJH16$JH16$
5931     JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)
5932     kl?;7JcC<$KE('6JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$q#>pFmf2MOP5g(5JH16$JH16$JH41"
5933     JcDVIkl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$LB$K<JcC<$
5934     JcCB&kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcGECJcG0<kl?nHJH16$JH16$JH16$e,Y("VZ5l\
5935     Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?;7JcC<$Jc>`M
5936     li;V:JcC<$JcC<$JcC<$JcC<$JcC<$JcGECJcG0<kl?nHJH16$JH16$JH16$e,Y("VZ5l\Q2cC8
5937     JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHJH16$JH16$JH16$
5938     e,Y("JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5g(5JH16$JH16$JH41"JcDVIkl@"KJH16$JH16$
5939     JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$LB$K<P5g(5JH16$JH16$JH41"JcC<$
5940     JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$
5941     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHJH16$JH16$JH16$e,Y("JcC<$
5942     JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$
5943     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$LB$K<P5g(5JH16$JH16$JH41"JcC<$JcC<$
5944     JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7
5945     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHJH16$JH16$JH16$e,Y("JcC<$JcC<$
5946     JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7
5947     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$LB$K<P5g(5JH16$JH16$JH41"JcC<$JcC<$JcC<$
5948     JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
5949     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHJH16$JH16$JH16$e,Y("JcC<$JcC<$JcC<$
5950     JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$
5951     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$LB$K<P5g(5JH16$JH16$JH41"JcC<$JcC<$JcC<$JcC<$
5952     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5953     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5954     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5955     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5956     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5957     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5958     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5959     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5960     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5961     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5962     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5963     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5964     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5965     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5966     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5967     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5968     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5969     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5970     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5971     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5972     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5973     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5974     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5975     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5976     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5977     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5978     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5979     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5980     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5981     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5982     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5983     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5984     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5985     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5986     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5987     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5988     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5989     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5990     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5991     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5992     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5993     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5994     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5995     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5996     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5997     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
5998     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
5999     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6000     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6001     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6002     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6003     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6004     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6005     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6006     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6007     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6008     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6009     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6010     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6011     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6012     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6013     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6014     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6015     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6016     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6017     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6018     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6019     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6020     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6021     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6022     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6023     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6024     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6025     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
6026     JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6027     JcC<$JcC<$JcC<$JcC<$JcC<$JcCK)kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$
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6251     JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$
6252     JcC?%kl?nHkl?;7JcF:#`;mdT_>o/eJcG$8kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbH
6253     JcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSJcC<$
6254     JcC<$JcC<$JcC?%kl?nHkl?;7JcF'rd/^WTc2`FqJcFg2kl?;7JcC<$JcC<$JcC<$JcC<$qu;6I
6255     mf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$
6256     Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcEaiirGeQirFZ1JcFL)kl?;7JcC<$JcC<$JcC<$
6257     JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$
6258     JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$
6259     JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
6260     JcC<$JcC<$JcD;@kl?;7JcC<$JcC<$JcC<$K)b'8P5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$
6261     JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7
6262     JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$
6263     JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7
6264     JcC<$JcC<$JcC<$JcD;@kl?;7JcC<$JcC<$JcC<$K)b'8P5jbHJcC<$JcC<$JcCE'kl?;7JcC<$
6265     JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$
6266     kl?;7JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$
6267     JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$
6268     JcFs7JcC<$JcC<$JcC<$JcD;@kl?;7JcC<$JcC<$JcC<$K)b'8P5jbHJcC<$JcC<$JcCE'kl?;7
6269     JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$
6270     JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcC<$JcC<$K`C9:
6271     JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$
6272     JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@kl?;7JcC<$JcC<$JcC<$K)b'8P5jbHJcC<$JcC<$JcCE'
6273     kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$
6274     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC?%kl?nHkl?;7JcC<$JcC<$
6275     K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7
6276     JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@kl?;7JcC<$JcC<$JcC<$K)b'8P5jbHJcC<$JcC<$
6277     JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(K
6278     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$]Do)8JcC<$JcC<$JcC<$JcD;@kl?nHkl?;7JcC<$
6279     JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVIkl@"K
6280     kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcE7[ZN,RVJcC<$JcC<$JcC<$Sc@pSP5jbHJcC<$
6281     JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7VZ5l\
6282     Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$\Gru;JcC<$JcC<$JcC<$JcD2=kl?nHkl?;7
6283     JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:JcDVI
6284     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcE.X\H%3\JcC<$JcC<$JcC<$RfDUPP5jbH
6285     JcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'kl?;7
6286     VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$[K!l>JcC<$JcC<$JcC<$JcD):kl?nH
6287     kl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$K`C9:
6288     JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcE%U^AribJcC<$JcC<$JcC<$QiH:M
6289     P5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$JcCE'
6290     kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$ZN%cAJcC<$JcC<$JcC<$JcCu7
6291     kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$JcC<$
6292     K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDqR`;kJhJcC<$JcC<$JcC<$
6293     PlKtJP5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$JcC<$
6294     JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$YQ)ZDJcC<$JcC<$JcC<$
6295     JcCl4kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7JcC<$
6296     JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDhOb5d+nJcC<$JcC<$
6297     JcC<$OoOYGP5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbHJcC<$
6298     JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$XT-QGJcC<$JcC<$
6299     JcC<$JcCc1kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHkl?;7
6300     JcC<$JcC<$K`C9:JcDVIkl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcD_Ld/\atJcC<$
6301     JcC<$JcC<$NrS>DP5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5jbH
6302     JcC<$JcC<$JcCE'kl?;7VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$WW1HJJcC<$
6303     JcC<$JcC<$JcCZ.kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nH
6304     JH16$JH16$JH16$e,Y("VZ5l\Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ56JJcC<$
6305     JcC<$JcC<$JcCZ.kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nH
6306     JH16$JH16$JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcDVIg&Q^(JcC<$
6307     JcC<$JcC<$M#Z]>P5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5g(5
6308     JH16$JH16$JH41"JcDVIkl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$U]9-MJcC<$JcC<$
6309     JcC<$JcCQ+kl?nHkl?;7JcC<$JcC<$K`C9:JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHJH16$
6310     JH16$JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcDMFhuJ?.JcC<$JcC<$
6311     JcC<$L&^B;P5jbHJcC<$JcC<$JcCE'kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOP5g(5JH16$
6312     JH16$JH41"JcDVIkl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$T`=$PJcC<$JcC<$JcC<$
6313     JcCH(kl?nHkl?;7ZN'IqJcC<$JcC<$irA6CJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?nHJH16$
6314     JH16$JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcDDCjoBu4JcC<$JcC<$
6315     JcC<$K)b'8P5jbHJcFs6rW(7Dnc47@JcDnQp],mF^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<
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6317     JcC<$JcC<$JcC<$K)b'8P5jbHJcG'9qZ+qAnc47@JcE"To`0RC^AmEtJcC<$JcC<$JcC<$JcC<$
6318     JcGWIJcG0<kl?nHJH16$JH16$JH16$e,Y("VZ5l\Q2cC8JH16$JH16$JH4'tJcC<$JcC<$YQ'.R
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6320     JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJQ2cC8JH16$JH16$JH4'tJcC<$
6321     JcC<$YQ'.RJH16$JH16$JH4'tJcC<$JcC<$M#Z]>P5jbHJcGBBnc6u8nc47@JcE4Zmf7q=^AmEt
6322     JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7
6323     JcC<$JcC<$JcC<$U]5lFJH16$JH16$JH4'tJcC<$JcC<$M#Z]>P5jbHJcGBBnc6u8nc47@JcE=]
6324     li;V:^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$
6325     JcCT,kl?;7JcC<$JcC<$JcC<$U]5lFJH16$JH16$JH4'tJcC<$JcC<$M#Z]>P5jbHJcGBBnc6u8
6326     nc47@JcEF`kl?;7^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$
6327     PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]5lFJH16$JH16$JH4'tJcC<$JcC<$M#Z]>P5jbH
6328     JcGBBnc6u8nc47@JcEOcjoBu4^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGE
6329     JcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]5lFJH16$JH16$JH4'tJcC<$JcC<$
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6331     JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]5lFJH16$JH16$JH4't
6332     JcC<$JcC<$M#Z]>P5jbHJcGBBnc6u8nc47@JcEaihuJ?.^AmEtJcC<$JcC<$JcC<$JcC<$JcGWI
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6335     JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$
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6337     kl?;7JcC<$JcC<$JcC<$JcC<$qu;6Imf2MOJcC<$JcCf2kl?;7JcC<$JcCu7kl?;7JcC<$M>uf?
6338     JcC<$JcC<$JcC<$JcDMFkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$M#Z]>P5jbHJc>`Mf)XP)p],mF
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6340     PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?nH
6341     kl?;7!<:XNgAgpJbQ"[EJcFF'mf<%\nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7
6342     JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$
6343     kl?;7JcC<$JcCQ+kl?nHkl?;7!<:XNgAgpJbQ"[EJcFF'o`4I\nc47@^AmEtJcC<$JcC<$JcC<$
6344     JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$
6345     U]9QYJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?nHkl?;7!<:XNS,]SjJcFF'qZ,m\nc47@^AmEt
6346     JcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7
6347     JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?nHkl?;7!<:XNS,]SjJcE@^
6348     nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$
6349     JcCT,kl?;7JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?nHkl?;7o`+I^
6350     N;p![JcE@^nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGEJcC<$JcC<$
6351     PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?nH
6352     kl?;7o`+I^JcC<$JcG<@nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7JcC<$O8nGE
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6354     JcCQ+kl?nHkl?;7o`+I^JcC<$JcG<@nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWIJcG0<kl?;7
6355     JcC<$O8nGEJcC<$JcC<$PlKtJJcC<$JcCT,kl?;7JcC<$JcC<$JcC<$U]9QYJcC<$JcC<$JcC<$
6356     kl?;7JcC<$JcCQ+kl?nHkl?;7o`+I^JcC<$JcG<@nc47@^AmEtJcC<$JcC<$JcC<$JcC<$JcGWI
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6689     P5j,6JcC<$JcC<$JcC<$JcDhOkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$M#Z]>JcC<$JcCf2kl?;7
6690     JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2g&Q^(
6691     JcC<$JcC<$JcC<$XT.MbJcC<$JcC<$JcC<$kl?;7JcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$
6692     JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8n#9JcC<$JcC<$
6693     JcC<$JcD_LJH16$JH16$JH16$d/\atJcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$
6694     JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$N;qf9JcC<$JcC<$JcC<$JcD_L
6695     JH16$JH16$JH16$d/\atJcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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6697     JH16$d/\atJcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$
6698     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcDMFJH16$JH16$JH16$d/\at
6699     JcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$
6700     JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcDMFJH16$JH16$JH16$d/\atJcC<$JcCQ+
6701     kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-
6702     kl?;7JcC<$LB$]BJcC<$JcC<$JcC<$JcDDCJH16$JH16$JH16$d/\atJcC<$JcCQ+kl?;7JcC<$
6703     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$
6704     JH16$JH16$d/\atJcC<$JcDqRJH16$JH16$JH16$d/\atJcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$
6705     JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$
6706     d/\atJcC<$JcDqRJH16$JH16$JH16$d/\atJcC<$JcCQ+kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$
6707     JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$
6708     JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$q>][ZJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$
6709     JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$
6710     JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
6711     l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$VZ5l\
6712     JcC<$JcC<$JcC<$JcC<$q>][ZJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$
6713     JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcDVIkl?;7JcC<$
6714     JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$
6715     JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$
6716     JcC<$q>][ZJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$
6717     JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQG
6718     kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-
6719     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7
6720     JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
6721     kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$
6722     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7
6723     JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGE
6724     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
6725     JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$
6726     JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
6727     JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$
6728     JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7
6729     JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$JcC<$
6730     JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
6731     JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$
6732     JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
6733     JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcGQGkl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$
6734     JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
6735     JcDVIkl?;7jo=6=JcC<$JcC<$JcC<$[f>RlJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
6736     JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$
6737     VZ5l\m/PuDV#S^?JcF4!huJ?.JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$
6738     JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
6739     JcDVIklC)MhuKeW_>o/eg&Kt1JcC<$JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$
6740     JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$klAp,qZ)3IJcC<$
6741     JcC<$JcC<$irA6Cm/PuDYlD-3JcFX-huJ?.JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$
6742     JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7dJrk>
6743     JcC<$JcC<$JcC<$JcFa0klC)MhuL+`YQ07Sir@p:JcC<$JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$
6744     JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$
6745     klB?8mf7q=JcC<$JcC<$JcC<$irA6Cm/PuD\c:Rfk5XHAJcFj3huJ?.JcC<$JcCc1kl?;7JcC<$
6746     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7
6747     JcC<$JcC<$JcFs7h>c^>JcC<$JcC<$JcC<$JcFa0klC)Mnc5]ijoF$5joBu4f)P:@JcC<$JcC<$
6748     NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$
6749     huDp@Q2g(KJcC<$JcC<$JcC<$klBcDirFZ1JcC<$JcC<$JcC<$irA6Cm/QVVWrMDcbQ$o/JcF=$
6750     nc47@JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$
6751     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7l2TQ>JcC<$JcC<$JcC<$JcFa0klC)Mnc5fl
6752     li>$)li;V:g&LUCJcC<$JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7
6753     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$klC2Pf)UC%JcC<$JcC<$JcC<$
6754     irA6Cm/QVVYlF%i^]3a&JcFF'nc47@JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$
6755     JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7p&ED>JcC<$
6756     JcC<$JcC<$JcFa0klC)Mnc5oomf:$#li;V:h#HpFJcC<$JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$
6757     JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$
6758     klCV\JH16$JH16$JH16$JH1o7m/QVVZiB@l\c;*uJcFO*nc47@JcC<$JcCc1kl?;7JcC<$O8nGE
6759     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
6760     JcC<$JcC9$JH16$JH16$JH16$JH5BDm/QVVZiBIo[f>drJcFO*nc47@JcC<$JcCc1kl?;7JcC<$
6761     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7
6762     JcC<$JcC<$JcC9$JH16$JH16$JH16$JH5BDm/QVVZiBIoZiBe#JcF=$nc47@JcC<$JcCc1kl?;7
6763     JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
6764     kl?;7JcC<$JcC<$JcC9$JH16$JH16$JH16$JH5BDm/QVV[f>drJcC<$r;Z<fJcC<$JcC<$NrS>D
6765     JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
6766     Q2g(KJcC<$JcC<$JcC<$JH16$JH16$JH16$JH16$p&OIZnc6,umf7q=JcGZJnc47@JcC<$JcCc1
6767     kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-
6768     kl@"Kkl?;7JcC<$JcC<$JcC9$JH16$JH16$JH16$JH5BDm/QVV[f>drJcC<$r;Z<fJcC<$JcC<$
6769     NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$
6770     huDp@Q2g(KJcC<$JcC<$JcC<$JH16$JH16$JH16$JH16$p&OIZnc66#mf7q=JcGQGnc47@JcC<$
6771     JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$
6772     JcFX-kl@"Kkl?;7JcC<$JcC<$JcC9$JH16$JH16$JH16$JH5BDm/QVV\c;*uJcC<$q>^!cJcC<$
6773     JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcG!7JcC<$JcC<$JcC<$JcC<$
6774     JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$klCV\b5d+nJcC<$JcC<$JcC<$[K#dt\c;*uJcGKEqZ+qA
6775     p]/;5nc47@JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$
6776     JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7p&ED>JcC<$JcC<$JcC<$JcE.Xnc66#
6777     mf7q=qZ$<jdJrb;aT(f2JcC<$JcC<$NrS>DJcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
6778     JcG!7JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$klC2Pf)UC%JcC<$JcC<$
6779     JcC<$[K#dt\c;*uJcG]Ko`3D>nc6c2nc47@JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$
6780     JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7l2TQ>
6781     JcC<$JcC<$JcC<$JcE.Xnc66#mf:c8b5g])nc7);qZ-WqqZ+_;nc47@JcC<$JcCc1kl?;7JcC<$
6782     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7
6783     JcC<$JcC<$JcFs7j8\->JcC<$JcC<$JcC<$JcE.Xnc66#mf:c8b5gf,mf:l;p]1<np]/M;nc47@
6784     JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$l2Q>7JcC<$JcC<$JcC<$
6785     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7h>c^>JcC<$JcC<$JcC<$JcE.Xnc66#mf:c8b5h#2
6786     o`5!kp]/hDp]1<np]/M;nc47@JcC<$JcCc1kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$
6787     JcC<$l2Q>7JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7fDk:>JcC<$JcC<$
6788     JcC<$JcE.Xnc66#mf:c8b5h#2p]13kp]/qGp]1*hp]/V>nc47@JcC<$JcCc1kl?;7JcC<$O8nGE
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7003     JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$JH16$JH16$JH16$JH16$
7004     p&K[DJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$
7005     JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$JH16$JH16$JH16$JH16$p&K[DJcC<$JcC<$
7006     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$
7007     huDp@Q2g(KJcC<$JcC<$JcC<$JH16$JH16$JH16$JH16$p&K[DJcC<$JcC<$JcC<$JcC<$JcC<$
7008     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7009     JcC<$JcC<$JH16$JH16$JH16$JH16$p&K[DJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7010     JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7011     JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7012     JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
7013     JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$
7014     JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$
7015     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$
7016     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$
7017     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7018     Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7019     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7020     JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7021     JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7022     JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7023     JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
7024     JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$
7025     JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$
7026     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$
7027     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$
7028     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7029     Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7030     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7031     JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7032     JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7033     JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7034     JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
7035     JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$
7036     JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$
7037     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$
7038     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$
7039     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7040     Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7041     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7042     JcC<$JcFs7JcC<$JcC<$JcC<$JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7043     JcC<$JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7044     JcC<$JcC<$JcC<$VZ5l\JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7045     JcC<$^]/lbJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
7046     JcDVIkl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELbJcC<$
7047     JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$VZ5l\JcC<$
7048     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$^]/lbJcC<$JcC<$JcC<$
7049     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcE[gYQ07SJcC<$JcC<$JcC<$
7050     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcFI(JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7051     Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$_>ghAJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7052     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$gAca(JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7053     JcC<$JcFs7JcC<$JcC<$JcC<$JcERd[K(mYJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7054     JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7055     JcC<$JcC<$JcC<$^Ak_DJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7056     JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$
7057     JcEIa]E!N_JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$
7058     JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$]DoVGJcC<$
7059     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$
7060     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcE@^_>o/eJcC<$JcC<$JcC<$
7061     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF-tJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7062     Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcE7[`;kJhJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7063     JcC<$JcC<$JcC<$JcC<$JcC<$JcF-tJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$
7064     JH4'tJcC<$JcC<$JcC<$JcE7[a8gekJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7065     JcC<$JcC<$JcF$qJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$
7066     JcC<$JcE.Xb5d+nJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF$q
7067     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcE.Xc2`Fq
7068     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEpnJcC<$JcC<$JcC<$
7069     JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcE%Ud/\atJcC<$JcC<$JcC<$
7070     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEpnJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7071     Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcE%Ue,Y("JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7072     JcC<$JcC<$JcC<$JcC<$JcC<$JcEgkJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$
7073     JH4'tJcC<$JcC<$JcC<$JcDqRf)UC%JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7074     JcC<$JcC<$JcEgkJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$
7075     JcC<$JcDhOh#N$+JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE^h
7076     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$JcC<$JcDDCh#N$+
7077     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE^hJcC<$JcC<$JcC<$
7078     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$JcC<$JcD;@irFZ1JcC<$JcC<$JcC<$
7079     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEUeJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7080     JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$JcC<$JcD;@irFZ1JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7081     JcC<$JcC<$JcC<$JcC<$JcC<$JcEUeJcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7082     JcC<$JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7083     JcC<$JcC<$JcELbJcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$
7084     JcC<$JcD2=kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcELb
7085     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$
7086     JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7087     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$JH4'tJcC<$JcC<$
7088     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7089     JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$
7090     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7091     JcC<$JcC<$JcC<$Rf@p=JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7092     JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$
7093     Rf@p=JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%
7094     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$
7095     JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7096     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$JH4'tJcC<$JcC<$
7097     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7098     JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$Rf@p=JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$
7099     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7100     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7101     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7102     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7103     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7104     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7105     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7106     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7107     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7108     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7109     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7110     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7111     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7112     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7113     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7114     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7115     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7116     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7117     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7118     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7119     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7120     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7121     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7122     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7123     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7124     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7125     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7126     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7127     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7128     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7129     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7130     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7131     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7132     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7133     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7134     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7135     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7136     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7137     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7138     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7139     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7140     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7141     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7142     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7143     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7144     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7145     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7146     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7147     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7148     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7149     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7150     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7151     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7152     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7153     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7154     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7155     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7156     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7157     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7158     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7159     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7160     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7161     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7162     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7163     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7164     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7165     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7166     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7167     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7168     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7169     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7170     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7171     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7172     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7173     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7174     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7175     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7176     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7177     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7178     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7179     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7180     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7181     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7182     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7183     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7184     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7185     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7186     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7187     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7188     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7189     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7190     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7191     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7192     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7193     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7194     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7195     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7196     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7197     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7198     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7199     JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7200     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7201     JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7202     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7203     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7204     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7205     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7206     JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7207     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7208     JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7209     JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7210     JcC<$JcC<$JcC<$RfDUPJcC<$aoCB$JcC<$JcF@%kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7211     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
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7321     JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMKE(]HbQ#!NaT(o5XoJ.r\c;F)S,]nseGnt;eGo1AfDkLD
7322     k5XuPbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7323     JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMKE(]HaT'!T_Z09/YlFIu
7324     ZiBe#S,^5'dJrY8dJrk>fDkLDk5XuPbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$
7325     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?
7326     j8\ZMJcE7[d/^`Wo`0RCJcF^/d/_Ainc6l5o`3VDo`4.Snc6l5kl?;7JcC<$JcC<$JcFs7JcC<$
7327     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$
7328     huDp@JcC<$JcCT,klBcDnc47@YQ*V_YlF@rJcC<$f`0t3_Z09/aT(o5gAg^Dk5XuPbQ$f,JcC<$
7329     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7330     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMJcC<$_#O'-JcC<$JcG`Lo`2u2o`3qMmf;DJ
7331     nc6l5kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7332     JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,klBcDnc47@JcEOco`0RCJcC<$rr:.A
7333     n,L6)j8\ZMbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7334     JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMJcC<$_#O'-JcC<$
7335     JcEdkn,L?,i;`?JbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7336     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMJcC<$_#O'-
7337     JcC<$JcEdkn,LQ2gAg^DbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7338     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZMJcC<$
7339     _#O'-JcC<$JcEdkn,Lc8eGo(>bQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
7340     JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\ZM
7341     JcC<$JcC<$JcC<$N;rGKbQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7342     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\$;JcC<$
7343     JcC<$JcC<$YlEV]bQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7344     JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\$;JcC<$JcC<$
7345     JcC<$YlEV]bQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7346     JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\$;JcC<$JcC<$JcC<$
7347     YlEV]bQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7348     JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\$;JcC<$JcC<$JcC<$YlEV]
7349     bQ$f,JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7350     fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?j8\$;JcC<$JcC<$JcC<$YlEV]bQ$f,
7351     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7352     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7353     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7354     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7355     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7356     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7357     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7358     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7359     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
7360     JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7361     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUP
7362     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7363     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7364     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7365     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7366     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7367     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7368     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7369     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7370     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
7371     JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7372     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUP
7373     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7374     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7375     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7376     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7377     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7378     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7379     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7380     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7381     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
7382     JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7383     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUP
7384     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7385     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7386     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7387     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7388     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7389     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7390     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7391     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7392     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
7393     JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7394     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUP
7395     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7396     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7397     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7398     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7399     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7400     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7401     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7402     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7403     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$
7404     JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7405     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUP
7406     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7407     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$
7408     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$
7409     JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$
7410     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-
7411     kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7412     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,
7413     kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7414     JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$V#RY!JcC<$JcC<$
7415     JcC<$JcE7[kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7416     JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcDGD[K(mYJcC<$JcC<$JcC<$[K#Ik
7417     JcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7418     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$U&VP$JcC<$JcC<$JcC<$JcE.XJH16$JH16$JH16$
7419     d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$
7420     JcC<$JcFX-kl?;7JcC<$T)ZG'JcC<$JcC<$JcC<$JcE%UJH16$JH16$JH16$d/\atJcC<$JcC<$
7421     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7422     JcC<$T)ZG'JcC<$JcC<$JcC<$JcE%UJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$
7423     JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$S,^>*JcC<$
7424     JcC<$JcC<$JcDqRJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7425     JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$S,^>*JcC<$JcC<$JcC<$JcDqR
7426     JH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%
7427     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$R/b5-JcC<$JcC<$JcC<$JcDhOJH16$JH16$JH16$
7428     d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$
7429     JcC<$JcFX-kl?;7JcC<$R/b5-JcC<$JcC<$JcC<$JcDhOJH16$JH16$JH16$d/\atJcC<$JcC<$
7430     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7431     JcC<$Q2f,0JcC<$JcC<$JcC<$JcD_LJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$
7432     JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$Q2f,0JcC<$
7433     JcC<$JcC<$JcC<$JcC<$T`=6VJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7434     JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$P5j#3JcC<$JcC<$JcC<$JcC<$
7435     JcC<$Sc@pSJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hk
7436     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$P5j#3JcC<$JcC<$JcC<$JcC<$JcC<$Sc@pSJcC<$
7437     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$
7438     JcC<$JcFX-kl?;7JcC<$O8mo6JcC<$JcC<$JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$JcC<$
7439     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7440     JcC<$O8n#9JcC<$JcC<$JcC<$JcC<$JcC<$QiH:MJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7441     JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$N;qf9JcC<$
7442     JcC<$JcC<$JcC<$JcC<$QiH:MJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7443     JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$N;qo<JcC<$JcC<$JcC<$JcC<$
7444     JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hk
7445     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>u]<JcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$
7446     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$
7447     JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcC<$JcC<$OoOYGJcC<$JcC<$JcC<$JcC<$
7448     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7449     JcC<$LB$T?JcC<$JcC<$JcC<$JcC<$JcC<$OoOYGJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7450     JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$LB$]BJcC<$
7451     JcC<$JcC<$JcC<$JcC<$NrS>DJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7452     JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$
7453     JcC<$Sc@pSJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hk
7454     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$Sc@pSJcC<$
7455     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$
7456     JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$Sc@pSJcC<$JcC<$JcC<$JcC<$
7457     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$aT$hkJcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
7458     JH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$Sc@pSJcG0<huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$
7459     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$r;V?JJcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$
7460     JH16$d/\atJcC<$JcC<$JcC<$Sc@pSp&EqMV#S^?JcF4!huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$
7461     JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$
7462     d/\atJcC<$JcC<$JcC<$Sc@pSp&EqMWrKp9JcFF'huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7463     JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\at
7464     JcC<$JcC<$JcC<$Sc@pSp&EqMYlD-3JcFX-huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7465     JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$
7466     JcC<$JcC<$Sc@pSp&EqMZi@60JcFa0huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7467     JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
7468     JcC<$JcD;@klCDVhuL=fhuMp>irFZ1jo=6=JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7469     JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$
7470     JcC<$JcC<$Sc@pSp&FR_WrM2]fDjt5JcF=$nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7471     JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7472     JcC<$JcC<$JcD;@klCDVnc5]ili>6/li;V:f)P:@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7473     JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
7474     JcC<$JcC<$JcC<$Sc@pSp&FR_XoI_f`W,9)JcFF'nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7475     JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7
7476     JcC<$JcC<$JcC<$JcD;@klCDVnc5ooli=g#mf7q=g&LUCJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7477     JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$
7478     kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_YlF.l]`7<uJcFO*nc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7479     JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
7480     JcFs7JcC<$JcC<$JcC<$JcD;@klCDVnc6#rli=Trmf7q=h#HpFJcC<$JcC<$JcC<$JcC<$JcC<$
7481     JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$
7482     JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_ZiBIo[f>drJcFO*nc47@JcC<$JcC<$JcC<$JcC<$
7483     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7484     JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@klCDVnc6#rmf9]op],mFf)P:@JcC<$JcC<$JcC<$JcC<$
7485     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7486     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_[f>drJcC<$r;Z<fJcC<$JcC<$JcC<$JcC<$
7487     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7488     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_[f>drJcC<$r;Z<fJcC<$JcC<$JcC<$JcC<$
7489     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7490     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_[f>drJcC<$r;Z<fJcC<$JcC<$JcC<$JcC<$
7491     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7492     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_\c;*uJcC<$q>^!cJcC<$JcC<$JcC<$JcC<$
7493     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7494     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_\c;*uJcC<$q>^!cJcC<$JcC<$JcC<$JcC<$
7495     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7496     JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_\c;*uJcGKEqZ+qAp]/;5nc47@JcC<$JcC<$
7497     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
7498     kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@klCDVnc66#mf7q=qZ$<jdJrb;aT(f2JcC<$
7499     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$
7500     huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$Sc@pSp&FR_\c;*uJcG]Ko`3D>nc6c2
7501     nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$
7502     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@klCDVnc66#mf:c8b5g])
7503     nc7);qZ-WqqZ+_;nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"
7504     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcD;@klCDV
7505     nc66#mf:c8b5gf,mf:l;p]1<np]/M;nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7506     JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
7507     JcC<$JcD;@klCDVnc66#mf:c8b5h#2o`5!kp]/hDp]1<np]/M;nc47@JcC<$JcC<$JcC<$JcC<$
7508     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7509     JcC<$JcFs7bQ%G>JcC<$JcC<$JcC<$JcFF'klCDVnc66#mf:c8b5h#2p]13kp]/qGp]1*hp]/V>
7510     nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$
7511     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7dJrk>JcC<$JcC<$JcC<$JcFF'klCDVnc66#mf:c8
7512     b5h#2rW)Wkp]/qGp]1*hp]/V>nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7513     JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7fDk:>JcC<$JcC<$
7514     JcC<$JcFF'klCDVnc66#mf9Kimf;;Gp]/qGp]1*hp]/V>nc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7515     JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
7516     JcFs7h>c^>JcC<$JcC<$JcC<$JcFF'klCDVnc6,umf9Tlmf;;Gp]0%Jp]0mbp]/_Anc47@JcC<$
7517     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-
7518     kl@"Kkl?;7JcC<$JcC<$JcFs7j8\->JcC<$JcC<$JcC<$JcFF'klCDVnc6,umf9Tlmf;;Gp]0%J
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7520     JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7l2TQ>JcC<$JcC<$JcC<$JcFF'klCDV
7521     nc6,umf9Tlmf;;Gp]0%Jp]0mbp]/_Anc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7522     JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7n,Lu>JcC<$
7523     JcC<$JcC<$JcFF'klCDVnc6,uli=Blmf;;Gp]0.Mg&TY&nc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7524     JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
7525     JcFs7p&ED>JcC<$JcC<$JcC<$JcFF'klCDVnc6#rmf9]omf;;Gp]0.Mg&TY&nc47@JcC<$JcC<$
7526     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
7527     kl?;7JcC<$JcC<$JcFs7qu;3IJH16$JH16$JH16$MZEGMnc6#rli=Komf;;Gp]0.Mg&TY&nc47@
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7552     huDp@Q2g(KJcC<$JcC<$JcC<$klBlGhuJ?.JcC<$JcC<$JcC<$[K#dtJcC<$TE"H^JcC<$JcC<$
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7554     Q2g(KJcC<$JcC<$JcC<$klBZAjoBu4JcC<$JcC<$JcC<$[K#dtJcC<$TE"H^JcC<$JcC<$JcC<$
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7557     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$
7558     JcC<$JcC<$klB65nc47@JcC<$JcC<$JcC<$[K#dtJcC<$TE"H^JcC<$JcC<$JcC<$JcC<$JcC<$
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7560     JcC<$klB$/p],mFJcC<$JcC<$JcC<$[K#dtJcC<$TE"H^JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7561     JcC<$JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$
7562     klAg)rW%NLJcC<$JcC<$JcC<$[K#dtJcC<$TE"H^JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7563     JcC<$JcC<$JcC<$JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7
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7565     JcC<$JcC<$eGk+"JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
7566     JcC<$JcC<$q>]@QJcC<$_uJWpJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7567     JcF7"JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$
7568     JcGQGhuJ?.JcEXfhuJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$eGk+"
7569     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$q>]@Q
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7571     JcC<$JcC<$JcC<$huDp@Q2g(KJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcGQGhuJ?.JcEXf
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7573     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7574     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
7575     kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7576     JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
7577     JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7578     JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
7579     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
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7581     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$
7582     JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7583     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"K
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7585     JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$
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7587     JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$
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7596     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
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7631     JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7]`6%Qm/Ns`l2TQ>j8[^2
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7633     JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf9]ob5h,5XT7D]o`4[b
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7635     JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7WrLHH
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7637     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(K
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7639     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$
7640     JcFX-kl@"Kkl?;7d/WP7Q2fbBqu?*bj8\HG[f?+&m/Qh\h>d6MJcE@^kl?;7JcC<$JcC<$JcC<$
7641     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$
7642     JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf8=HjoGD\mf;2Dmf9oup]0d_o`0RCNrS>DJcC<$JcC<$
7643     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
7644     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7LB$T?rr;EegAgUA]`7a,n,N._JcCZ.kl?;7
7645     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7646     JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf8"?mf<@emf:u>mf:6)p]0[\p],mF
7647     MuW#AJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7648     JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7KE'X*fDk1;aT)#8l2UMY
7649     JcCZ.kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7650     JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf:l;mf:-&h#Pt)li>?2
7651     o`47Vp],mFMuW#AJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7652     JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7eGnt;^]3*i
7653     dJrP5eGo1Ak5Y2VJcCZ.kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7654     JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf:l;
7655     mf:-&h#Pk&li>Z;o`4%Pp],mFMuW#AJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7656     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7
7657     d/WP7eGnk8_Z/ElcN!52h>d-Ji;`HMgAh$MJcE@^kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7658     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$
7659     huDp@Q2g(KJcF*smf:c8mf:6)h#PXuli?)Gp]/qGp]0.Mo`0RC^AmEtJcC<$JcC<$JcC<$JcC<$
7660     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7661     JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7dJrP5aT(]/rr;EebQ$o/k5Y2VeGo1Ai;`QPJcE@^kl?;7
7662     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7663     JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf:Z5li>6/mf<@emf:H/li?DPp]/V>
7664     o`4.So`0RC]Dq*qJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7665     JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7cN!,/dJrP5
7666     rr;Ee`W,B,n,N._bQ%,5n,MqYJcE7[kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7667     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2g(K
7668     JcF*smf:Q2klBH;klCV\mf:?,li?VVg&U:8f)UC%[K#IkJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7669     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$
7670     JcFX-kl@"Kkl?;7d/WP7bQ$K#l2TlGq#Bd__Z/s&q#AqGi;_^8JcE%Ukl?;7JcC<$JcC<$JcC<$
7671     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$
7672     JcC<$JcC<$JcC<$huDp@Q2g(KJcF*smf:H/ZN0[umf:6)li?h\f)XP)li;V:XT.MbJcC<$JcC<$
7673     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
7674     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7_Z.7Ko)J.Y^]3X#JcC<$_#NX!JcC<$JcC<$
7675     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
7676     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7^]2.Nn,MhV]`7<uJcC<$_uJs$JcC<$JcC<$
7677     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
7678     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7d/WP7\c9qTl2U2P]`7<uJcC<$_uJs$JcC<$JcC<$
7679     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7o
7680     JcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcG$8irFZ1JcC<$[f>RlJcC<$JcC<$JcC<$JcC<$
7681     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7682     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7683     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7684     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7685     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7686     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7687     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7688     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7689     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7690     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7691     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7692     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7693     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7694     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7695     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7696     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7697     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7698     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7699     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7700     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7701     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7702     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7703     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7704     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7705     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7706     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7707     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7708     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7709     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7710     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7711     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7712     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7713     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7714     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7715     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7716     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7717     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7718     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7719     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7720     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7721     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7722     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7723     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7724     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7725     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7726     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7727     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7728     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7729     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7730     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7731     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7732     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7733     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7734     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7735     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7736     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7737     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7738     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7739     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7740     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7741     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7742     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7743     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7744     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7745     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7746     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7747     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7748     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7749     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7750     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7751     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7752     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7753     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7754     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7755     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7756     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7757     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7758     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7759     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7760     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7761     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7762     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7763     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7764     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7765     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7766     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7767     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7768     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$
7769     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7770     bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$
7771     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7772     JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7773     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-
7774     kl@"Kkl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7775     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"Kkl?;7JcC<$
7776     JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7777     JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$
7778     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEso
7779     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$
7780     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$
7781     JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7782     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8
7783     JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7784     JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\at
7785     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7786     JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$
7787     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$
7788     JcC<$JcC<$JcFX-kl@"KJH16$JH16$JH16$d/\atJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7789     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcEsoJcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7790     Q2cC8JH16$JH16$JH4'tJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7791     JcC<$JcC<$JcC<$JcC<$JcC<$bl<7oJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$JcC<$JcC<$
7792     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7793     JcC<$YlB:SJcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7794     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$YlB:SJcC<$JcC<$
7795     JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7796     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7797     JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7798     JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$
7799     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7800     JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$
7801     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$
7802     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7803     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$
7804     huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7805     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGE
7806     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7807     JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$
7808     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]
7809     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7810     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$
7811     JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7812     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$
7813     O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7814     JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$
7815     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7816     ])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7817     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$
7818     JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7819     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7820     JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7821     JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$
7822     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7823     JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$
7824     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$
7825     JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7826     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-
7827     kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7828     JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7
7829     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7830     JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$
7831     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$
7832     JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7833     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$
7834     JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7835     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2
7836     kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7837     JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$
7838     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]
7839     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7840     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$
7841     JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7842     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$
7843     JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7844     JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$
7845     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7846     JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
7847     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$
7848     JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7849     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7850     JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7851     JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$
7852     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7853     JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$
7854     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$
7855     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7856     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$
7857     huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7858     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGE
7859     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7860     JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$
7861     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]
7862     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7863     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcE=]JcC<$JcC<$JcC<$JcC<$
7864     JcC<$huDp@JcC<$JcCf2kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7865     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$])R?]JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$
7866     O8nGEJcE[ghuJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7867     JcC<$JcC<$JcC<$JcC<$R/_a;JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ$K#V#S^?
7868     JcFF'huJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7869     JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2klAp,huKeW_>o/ehuDU7
7870     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7871     JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ$K#YlD-3JcFj3huJ?.JcC<$
7872     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7873     JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2klAp,huL+`YQ07Skl9Q@JcC<$JcC<$JcC<$
7874     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$
7875     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ$K#\c:Rfk5XHAJcG'9huJ?.JcC<$JcC<$JcC<$
7876     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$
7877     JcC<$JcC<$JcC<$huDp@JcC<$JcCf2klAp,nc5]ijoF$5joBu4h#HpFJcC<$JcC<$JcC<$JcC<$
7878     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$
7879     JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5WrMDcbQ$o/JcFO*nc47@JcC<$JcC<$JcC<$JcC<$
7880     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$
7881     JcC<$JcC<$huDp@JcC<$JcCf2klAp,nc5flli>$)li;V:huE6IJcC<$JcC<$JcC<$JcC<$JcC<$
7882     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$
7883     JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5YlF%i^]3a&JcFX-nc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7884     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$
7885     JcC<$huDp@JcC<$JcCf2klAp,nc5oomf:$#li;V:irAQLJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7886     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$
7887     JcFX-kl?;7JcC<$O8nGEbQ%,5ZiB@l\c;*uJcFa0nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7888     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$
7889     huDp@JcC<$JcCf2klAp,nc6#rmf9frmf7q=irAQLJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7890     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-
7891     kl?;7JcC<$O8nGEbQ%,5ZiBIoZiBe#JcFO*nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7892     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$huDp@
7893     JcC<$JcCf2klAp,nc6,umf7q=K)bBAJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7894     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$
7895     O8nGEbQ%,5[f>drJcC?%nc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7896     JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCf2klAp,
7897     nc6,umf7q=K)bBAJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7898     JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*u
7899     JcC<$s8VWiJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7900     JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*uJcC<$
7901     s8VWiJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7902     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*uKE(B?cN!52
7903     fDkCAJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7904     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*uM>uT9gAg(2
7905     h>d$GJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7906     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*uN;q]6j8[^2
7907     i;`?JJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7908     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*udJqAio)J@_
7909     p&F[bk5XuPn,MqYj8\ZMJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7910     JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5
7911     \c;*udJqAip&Fdem/Q_Yl2UMYk5Y)Sj8\ZMJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7912     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7913     JcC<$O8nGEbQ%,5\c;*udJqAip&Fdel2UMYm/Q_Yj8\cPk5XuPJcC<$JcC<$JcC<$JcC<$JcC<$
7914     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$
7915     JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*udJqAieGo:Dm/Qh\h>d6Mk5XuPJcC<$JcC<$JcC<$
7916     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$
7917     JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*udJqAieGo:Dn,N%\\c;4#JcC<$JcC<$
7918     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8
7919     JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5\c;*uXoIhieGo:Dn,N._[f>muJcC<$
7920     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7921     lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5[f>drYlF.lfDkUGm/Qh\[f>mu
7922     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7923     JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5[f>drYlF.lgAgpJl2UMY
7924     [f>muJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7925     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5[f>drYlF.lh>d-J
7926     l2UMY[f>muJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7927     JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5[f>[oZiBIo
7928     i;`HMk5Y2V[f>muJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7929     JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5ZiBIo
7930     ZiBIoj8\cPj8\lS[f>muJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7931     JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$O8nGEbQ%,5
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7933     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$
7934     O8nGEbQ%,5YlF.l[f>drl2UMYfDkUGh>d-Jl2U;SJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7935     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-
7936     kl?;7JcC<$O8nGEbQ%,5YlF%i\c;*um/Qh\eGo1Ai;`QPk5XuPJcC<$JcC<$JcC<$JcC<$JcC<$
7937     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$
7938     JcC<$JcFX-JH16$JH16$hZ1k"nc5flli=g#li?MSp]/V>o`4.So`4.Snc47@JcC<$JcC<$JcC<$
7939     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$
7940     JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5WrM;`bQ$])o)JIbbQ%,5n,MqYj8\ZMJcC<$JcC<$
7941     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8
7942     JcC<$JcC<$JcC<$JcC<$JcFX-JH16$JH16$hZ1k"nc5TfjoF$5huN?Jg&U:8f)Xb/nc47@JcC<$
7943     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7944     JcC<$JcC<$JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5V#THTk5X6;n,Lu>i;_^8h>d$GJcC<$
7945     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7946     lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-JH16$JH16$hZ1k"nc5B`WW;Dcf)XP)li>Z;nc47@JcC<$
7947     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7948     JcC<$JcC<$JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5T)Z+sJcF=$nc47@JcC<$JcC<$JcC<$
7949     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$
7950     JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5R/ao$JcF*snc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7951     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$
7952     JcC<$huA6-JH16$JH4R-bQ%,5P5i]*JcEmmnc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7953     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7954     JcC<$L]?oFLB$96JcEIanc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7955     JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oFJcC<$
7956     V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7957     JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$JcC<$
7958     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$
7959     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oFJcC<$V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7960     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$
7961     JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7962     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oF
7963     JcC<$V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7964     JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$
7965     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7966     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?94JcC<$aoC9!JcC<$JcC<$JcC<$JcC<$JcC<$
7967     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$
7968     JcC<$JcC<$JcC<$JcCN*huJ?.JcEjlhuJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7969     JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8~> Z
7970     ; F1S2A Ji
7971     105 2350 M (Figure )[26 12 26 26 16 23 0]xS
7972     246 2350 M (9)S
7973     269 2350 M (: EHM Model Of SS With Non-Atomic ISR)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 28 28 12 39 12 14 26 12 30 26 26 14 29 14 26 37
7974     12 23 12 12 28 0]xS
7975     F0S2A Ji
7976     75 2449 M (If reachability analysis shows that the modified system)[12 13 18 14 23 23 21 23 23 23 10 10 10 12 21 18 23 23 23 10 21 20 10 20 18 20 23 23 29 20 18 12
7977     23 23 12 18 12 23 23 18 36 23 23 10 13 10 23 23 18 20 21 20 12 23 0]xS
7978     75 2497 M (cannot exhibit AIL violations, then the actual software)[21 23 23 23 23 12 20 23 22 23 10 23 10 12 20 28 12 23 20 23 10 23 10 23 12 10 23 23 20 12 20 12
7979     23 23 23 20 12 23 23 21 23 21 12 23 23 10 21 20 23 13 12 29 23 14 0]xS
7980     75 2545 M (should be modified by inserting interrupt windows in the)[20 23 23 23 10 23 14 23 23 14 36 23 23 10 13 10 23 23 14 23 21 15 10 23 20 23 14 12 10 23 23 15
7981     10 23 12 23 14 14 23 23 12 15 29 10 23 23 23 29 20 15 10 23 15 12 23 0]xS
7982     75 2593 M (lower-priority ISR. Such windows would typically consist)[10 23 29 23 14 14 23 14 10 23 14 10 12 21 12 12 28 30 12 12 12 28 23 21 23 13 29 10 23 23 23 29
7983     20 13 29 23 23 10 23 13 12 21 23 10 21 23 10 10 21 13 21 23 23 20 10 20 0]xS
7984     75 2641 M (of an instruction which enables interrupts immediately)[23 13 20 23 23 21 10 23 20 12 14 23 21 12 10 23 23 21 29 23 10 21 23 21 23 23 23 23 10 23 20 21
7985     10 23 12 23 14 14 23 23 12 20 21 10 36 36 23 23 10 23 12 23 10 0]xS
7986     75 2689 M (followed by an instruction which disables interrupts.)[13 23 10 10 23 29 23 23 28 23 21 28 23 23 28 10 23 20 12 14 23 21 12 10 23 23 29 29 23 10 21 23
7987     29 23 10 20 23 23 10 23 20 29 10 23 12 23 14 14 23 23 12 20 0]xS
7988     75 2737 M (These windows would allow the lower-priority ISR to be)[26 23 23 20 23 15 29 10 23 23 23 29 20 15 29 23 23 10 23 16 23 10 10 23 29 16 12 23 23 16 10 23
7989     29 23 14 14 23 14 10 23 14 10 12 21 16 12 28 30 16 12 23 16 23 0]xS
7990     75 2785 M (interrupted, but only at certain points. We feel that an)[10 23 12 23 14 14 23 23 12 23 23 12 16 23 23 12 17 23 23 10 21 17 23 12 17 21 23 14 12 23 10 23
7991     17 23 23 10 23 12 20 12 17 17 42 23 17 13 23 23 10 17 12 23 23 12 17 23 0]xS
7992     75 2833 M (approach using interrupt windows is safer than allowing)[23 23 23 14 23 23 21 23 16 23 20 10 23 23 16 10 23 12 23 14 14 23 23 12 16 29 10 23 23 23 29 20
7993     16 10 20 16 20 23 13 23 14 16 12 23 23 23 16 23 10 10 23 29 10 23 0]xS
7994     75 2881 M (the lower-priority ISR to be interrupted at an arbitrary)[12 23 23 20 10 23 29 23 14 14 23 14 10 23 14 10 12 21 20 12 28 30 21 12 23 21 23 23 21 10 23 12
7995     23 14 14 23 23 12 23 23 21 23 12 21 23 23 21 23 14 23 10 12 14 23 14 0]xS
7996     75 2929 M (point.)[23 23 10 23 12 0]xS
7997     1275 156 M (ADDITIONAL MODELING SCENARIOS)[28 30 30 12 26 12 33 30 28 23 12 35 33 30 28 23 12 30 33 12 28 30 28 30 28 30 12 33 0]xS
7998     1275 254 M (The examples presented in the preceding sections)[26 23 23 31 23 22 23 36 23 10 23 20 31 23 14 23 20 23 23 12 23 23 31 10 23 31 12 23 23 32 23 14
7999     23 21 23 23 10 23 23 32 20 23 21 12 10 23 23 0]xS
8000     1275 302 M (illustrate the hybrid system modeling of ISs and the SS.)[10 10 10 23 20 12 14 23 12 23 14 12 23 23 14 23 21 23 14 10 23 14 20 21 20 12 23 36 14 36 23 23
8001     23 10 10 23 23 14 23 13 14 12 28 20 14 23 23 23 14 12 23 23 15 28 28 0]xS
8002     1275 350 M (The examples have been chosen to demonstrate the)[26 23 23 22 23 22 23 36 23 10 23 20 22 23 23 23 23 22 23 23 23 23 22 21 23 23 20 23 23 22 12 23
8003     23 23 23 36 23 23 20 12 14 23 12 23 23 12 23 0]xS
8004     1275 398 M (EHM modeling of essential features of a microprocessor)[28 30 35 13 36 23 23 23 10 10 23 23 13 23 13 13 23 20 20 23 23 12 10 23 10 13 13 23 23 12 23 14
8005     23 20 13 23 13 13 23 13 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
8006     1275 446 M (system.)[20 21 20 12 23 36 0]xS
8007     1275 544 M (In practice, ISs and ISRs are not qualitatively different)[12 23 17 23 14 23 21 12 10 21 23 12 17 12 28 20 18 23 23 23 18 12 28 30 20 18 23 14 23 18 23 23
8008     12 18 23 23 23 10 10 12 23 12 10 23 23 10 21 18 23 10 13 13 23 14 23 23 0]xS
8009     1275 592 M (than the examples, but they are often far more complex.)[12 23 23 23 12 12 23 23 12 23 22 23 36 23 10 23 20 12 12 23 23 12 12 12 23 23 21 12 23 14 23 13
8010     23 13 12 23 23 13 13 23 14 13 36 23 14 23 13 21 23 36 23 10 23 22 0]xS
8011     1275 640 M (To model complex ISs, it has sometimes been useful to)[26 23 14 36 23 23 23 10 14 21 23 36 23 10 23 22 14 12 28 20 12 14 10 12 14 23 23 20 14 20 23 36
8012     23 12 10 36 23 20 14 23 23 23 23 14 23 20 23 13 23 10 14 12 0]xS
8013     1275 688 M (create an IS which consists of multiple EHMs. For)[21 14 23 23 12 23 24 23 23 24 12 28 24 29 23 10 21 23 25 21 23 23 20 10 20 12 20 25 23 13 25 36
8014     23 10 12 10 23 10 23 25 28 30 35 20 12 25 25 26 23 0]xS
8015     1275 736 M (example, to model a network communication peripheral)[23 22 23 36 23 10 23 12 15 12 23 15 36 23 23 23 10 15 23 15 23 23 12 29 23 14 21 15 21 23 36 36
8016     23 23 10 21 23 12 10 23 23 15 23 23 14 10 23 23 23 14 23 0]xS
8017     1275 784 M (which has a receive queue consisting of RAM storage)[29 23 10 21 23 18 23 23 20 19 23 19 14 23 21 23 10 23 23 19 23 23 23 23 23 19 21 23 23 20 10 20
8018     12 10 23 23 19 23 13 19 30 28 35 19 20 12 23 14 23 23 0]xS
8019     1275 832 M (for a certain integral number of messages, it might be)[13 23 14 18 23 18 21 23 14 12 23 10 23 18 10 23 12 23 23 14 23 10 18 23 23 36 23 23 14 18 23 13
8020     18 36 23 20 20 23 23 23 20 12 18 10 12 18 36 10 23 23 12 19 23 0]xS
8021     1275 880 M (natural to decompose the model into a transmit EHM, a)[23 23 12 23 14 23 10 14 12 23 14 23 23 21 23 36 23 23 20 23 14 12 23 23 14 36 23 23 23 10 14 10
8022     23 12 23 15 23 15 12 14 23 23 20 36 10 12 15 28 30 35 12 15 0]xS
8023     1275 928 M (receive EHM, a receive queue EHM, and an EHM which)[14 23 21 23 10 23 23 12 28 30 35 12 12 23 12 14 23 21 23 10 23 23 13 23 23 23 23 23 13 28 30 35
8024     12 13 23 23 23 13 23 23 13 28 30 35 13 29 23 10 21 0]xS
8025     1275 976 M (generates network physical medium timing. These)[23 23 23 23 14 23 12 23 20 29 23 23 12 29 23 14 21 29 23 23 21 20 10 21 23 10 30 36 23 23 10 23
8026     36 30 12 10 36 10 23 23 12 30 30 26 23 23 20 0]xS
8027     1275 1024 M (EHMs interact using the two interface mechanisms)[28 30 35 20 30 10 23 12 23 14 23 21 12 30 23 20 10 23 23 30 12 23 23 30 12 29 23 30 10 23 12 23
8028     14 13 23 21 23 31 36 23 21 23 23 23 10 20 36 0]xS
8029     1275 1072 M (allowed under the hybrid system framework \(SVs and)[23 10 10 23 29 23 23 20 23 23 23 23 14 20 12 23 23 20 23 21 23 14 10 23 21 20 21 20 12 23 36 21
8030     13 14 23 36 23 29 23 14 21 21 14 28 28 20 21 23 23 0]xS
8031     1275 1120 M (events which are generated by one EHM and accepted)[23 23 23 23 12 20 16 29 23 10 21 23 16 23 14 23 16 23 23 23 23 14 23 12 23 23 16 23 21 16 23 23
8032     23 16 28 30 35 16 23 23 23 17 23 21 21 23 23 12 23 0]xS
8033     1275 1168 M (by another\). It has also been convenient to use guards)[23 21 15 23 23 23 12 23 23 14 14 12 15 15 12 12 15 23 23 20 15 23 10 20 23 15 23 23 23 23 15 21
8034     23 23 23 23 23 10 23 23 12 15 12 23 15 23 20 23 15 23 23 23 14 23 0]xS
8035     1275 1216 M (where the atomic formulas involve comparisons of SVs)[29 23 23 14 23 15 12 23 23 15 23 12 23 36 10 21 16 13 23 14 36 23 10 23 20 16 10 23 23 23 10 23
8036     23 16 21 23 36 23 23 14 10 20 23 23 20 16 23 13 16 28 28 0]xS
8037     1275 1264 M (against each other rather than against constants.)[23 23 23 10 23 20 12 36 23 23 21 23 36 23 12 23 23 14 36 14 23 12 23 23 14 36 12 23 23 23 37 23
8038     23 23 10 23 20 12 37 21 23 23 20 12 23 23 12 20 0]xS
8039     1275 1312 M (Collusion between ISs can also be modeled using SVs)[30 23 10 10 23 20 10 23 23 17 23 23 12 29 23 23 23 17 12 28 20 17 21 23 23 17 23 10 20 23 17 23
8040     23 17 36 23 23 23 10 23 23 17 23 20 10 23 23 18 28 28 0]xS
8041     1275 1360 M (and passed events.)[23 23 23 12 23 23 20 20 23 23 12 23 23 23 23 12 20 0]xS
8042     1275 1458 M (We have not yet encountered and do not anticipate)[42 23 24 23 23 23 23 24 23 23 12 24 21 23 12 24 23 23 21 23 23 23 12 23 14 23 23 24 23 23 23 25
8043     23 23 25 23 23 12 25 23 23 12 10 21 10 23 23 12 0]xS
8044     1275 1506 M (encountering a practical system which cannot be)[23 23 21 23 23 23 12 23 14 10 23 23 36 23 36 23 14 23 21 12 10 21 23 10 37 20 21 20 12 23 36 37
8045     29 23 10 21 23 37 21 23 23 23 23 12 37 23 0]xS
8046     1275 1554 M (evaluated for interrupt latency compatibility using the)[23 23 23 10 23 23 12 23 23 23 13 23 14 23 10 23 12 23 14 14 23 23 12 23 10 23 12 23 23 21 21 23
8047     21 23 36 23 23 12 10 23 10 10 10 12 21 23 23 20 10 23 23 24 12 23 0]xS
8048     1275 1602 M (hybrid system method we have proposed.)[23 21 23 14 10 23 12 20 21 20 12 23 36 12 36 23 12 23 23 23 12 29 23 12 23 23 23 23 12 23 14 23
8049     23 23 20 23 23 0]xS
8050     F1S2A Ji
8051     1275 1810 M (VERIFICATION ALGORITHM)[28 28 30 12 26 12 30 29 27 12 33 30 12 29 26 33 33 30 12 27 30 0]xS
8052     F0S2A Ji
8053     1275 1909 M (Since an algorithm for verifying that the interrupt latency)[28 10 23 21 23 12 23 23 12 23 10 23 23 14 10 12 23 36 12 13 23 14 12 23 23 14 10 13 21 10 23 23
8054     13 12 23 23 12 13 12 23 23 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 0]xS
8055     1275 1957 M (compatibility requirement is satisfied is equivalent to an)[21 23 36 23 23 12 10 23 10 10 10 12 21 14 14 23 23 23 10 14 23 36 23 23 12 15 10 20 15 20 23 12
8056     10 20 13 10 23 23 15 10 20 15 23 23 23 10 23 23 10 23 23 12 15 12 23 15 23 0]xS
8057     1275 2005 M (algorithm for checking reachability in the CHM, we)[23 10 23 23 14 10 12 23 36 28 13 23 14 28 21 23 23 21 21 10 23 23 28 14 23 23 21 23 23 23 10 10
8058     10 12 21 28 10 23 28 12 23 23 29 30 30 35 12 29 29 0]xS
8059     1275 2053 M (present a reachability algorithm in this section.)[23 14 23 20 23 23 12 12 23 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10 12 23 36
8060     12 10 23 12 12 23 10 20 12 20 23 21 12 10 23 23 0]xS
8061     1275 2151 M (The essence of our algorithm is as follows. We start)[26 23 23 19 23 20 20 23 23 21 23 19 23 13 19 23 23 14 19 23 10 23 23 14 10 12 23 36 20 10 20 20
8062     23 20 20 13 23 10 10 23 29 20 12 20 20 42 23 20 20 12 23 14 0]xS
8063     1275 2199 M (from an illegal configuration q'. It will be reached from a)[13 14 23 36 12 23 23 12 10 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 8
8064     12 12 12 12 12 13 29 10 10 10 13 23 23 13 14 23 23 21 23 23 23 13 13 14 23 36 13 0]xS
8065     1275 2247 M (legal configuration q only when one IS goes without)[10 23 23 23 10 24 21 23 23 13 10 23 23 14 23 12 10 23 23 24 23 24 23 23 10 21 24 29 23 23 23 24
8066     23 23 23 24 12 28 24 23 23 23 20 24 29 10 12 23 23 23 0]xS
8067     1275 2295 M (service from the SS for too long; that is, when the AIL of)[20 23 14 23 10 21 23 12 13 14 23 36 12 12 23 23 12 28 28 12 13 23 14 12 12 23 23 12 10 23 23 23
8068     12 13 12 23 23 12 13 10 20 12 13 29 23 23 23 13 12 23 23 13 28 12 23 13 23 0]xS
8069     1275 2343 M (the IS is violated or equivalently when G=[t>b] becomes)[12 23 23 13 12 28 13 10 20 13 23 10 23 10 23 12 23 23 13 23 14 13 23 23 23 10 23 23 10 23 23 12
8070     10 21 13 29 23 23 23 13 33 25 12 12 25 23 12 14 23 23 21 23 36 23 0]xS
8071     1275 2391 M (true. This is illustrated in Figure )[12 14 23 23 12 12 12 26 23 10 20 12 10 20 12 10 10 10 23 20 12 14 23 12 23 23 12 10 23 12 26 10
8072     23 23 14 23 0]xS
8073     1884 2391 M (10)[23 0]xS
8074     1930 2391 M (. Such a transition is)[12 13 13 28 23 21 23 13 23 13 12 14 23 23 20 10 12 10 23 23 13 10 0]xS
8075     1275 2439 M (called illegal. Denote the set of illegal dynamic)[21 23 10 10 23 23 33 10 10 10 23 23 23 10 12 33 34 30 23 23 23 12 23 34 12 23 23 34 20 23 12 34
8076     23 13 34 10 10 10 23 23 23 10 34 23 21 23 23 36 10 0]xS
8077     1275 2496 M (transitions from q by DT\(q, Q)[12 14 23 23 20 10 12 10 23 23 20 12 13 14 23 36 12 23 12 23 21 12 30 26 14 23 12 12 0]xS
8078     F0S1F Ji
8079     1816 2502 M (b)S
8080     F0S2A Ji
8081     1833 2496 M (\).)[14 0]xS
8082     0 Lj 2 Lc 2 Lw : 1534 2557 227 196 rc N 1716 2590 M 1562 2590 I 1561 2709 I 1716 2709 I C
8083     : 1.957 2.039 +S K
8084     ; ; /F5S28 F5 [40.832 0 0 -40.832 0 0 ] mFS
8085     F5S28 Ji
8086     1626 2665 M (I)S
8087     /F5S18 F5 [24.5 0 0 -24.5 0 0 ] mFS
8088     F5S18 Ji
8089     1638 2673 M (q)S
8090     : 1843 2557 222 196 rc N 2032 2592 M 1887 2592 I 1886 2711 I 2032 2711 I C
8091     : 1.957 2.039 +S K
8092     ; ; F5S28 Ji
8093     1944 2667 M (I)S
8094     F5S18 Ji
8095     1955 2675 M (q)S
8096     1967 2675 M <92>S
8097     : 1775 2598 10 40 rc F5S28 Ji
8098     1775 2628 M ( )S
8099     ; : 1785 2598 29 40 rc F5S28 Ji
8100     1785 2628 M (G)S
8101     ; 1 Lw N 1716 2651 M 1879 2651 I : 1.957 2.039 +S K
8102     ; N 1879 2647 M 1879 2655 I 1885 2651 I 1879 2647 I C
8103     O N 1879 2647 M 1879 2655 I : 1.957 2.039 +S K
8104     ; N 1879 2655 M 1885 2651 I : 1.957 2.039 +S K
8105     ; N 1885 2651 M 1879 2647 I : 1.957 2.039 +S K
8106     ; F1S2A Ji
8107     1489 2843 M (Figure )[26 12 26 26 16 23 0]xS
8108     1630 2843 M (10)[23 0]xS
8109     1676 2843 M (. From Legal to Illegal)[12 12 26 16 26 37 12 26 23 26 23 12 12 14 26 12 12 12 12 23 26 23 0]xS
8110     F0S2A Ji
8111     1275 2945 M (In order to guarantee that a transition \(q,G,q\222\))[12 23 37 23 14 23 23 14 37 12 23 38 23 23 23 14 23 23 12 23 23 38 12 23 23 12 38 23 38 12 14 23
8112     23 20 10 12 10 23 23 38 14 23 12 33 12 23 9 0]xS
8113     F4S2A Ji
8114     2296 2945 M <CE>S
8115     F0S2A Ji
8116     1275 3002 M (DT\(q,Q)[30 26 14 23 12 0]xS
8117     F0S1F Ji
8118     1413 3008 M (b)S
8119     F0S2A Ji
8120     1430 3002 M (\) will not take place and result in the violation of)[14 13 29 10 10 10 13 23 23 12 13 12 23 21 23 13 23 10 23 21 23 13 23 23 23 13 14 23 20 23 10 12
8121     13 10 23 13 12 23 23 13 23 10 23 10 23 12 10 23 23 13 23 0]xS
8122     1275 3052 M (an AIL requirement, some other transitions from q \(to)[23 23 20 28 12 23 20 14 23 23 23 10 14 23 36 23 23 12 12 20 20 23 36 23 20 23 12 23 23 14 20 12
8123     14 23 23 20 10 12 10 23 23 20 20 13 14 23 36 20 23 20 14 12 0]xS
8124     LH
8125     (%%[Page: 11]%%) =
8126     %%PageTrailer
8127    
8128     %%Page: 12 12
8129     %%PageBoundingBox: 18 8 593 784
8130     %%EndPageComments
8131     %%BeginPageSetup
8132     /DeviceRGB dup setcolorspace /colspABC exch def
8133     mysetup concat colspRefresh
8134     %%EndPageSetup
8135    
8136     0 0 0 1 scol 1185 3158 M (1)S
8137     1208 3158 M (2)S
8138     75 156 M (some legal configurations\) must occur before \(q,G,q\222\))[20 23 36 23 22 10 23 23 23 10 22 21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 22 36 23 20 12 22
8139     23 21 21 23 14 22 23 23 13 23 14 23 22 14 23 12 33 12 23 9 0]xS
8140     75 204 M (can occur. In other words, \(q,G,q\222\) must be preempted)[21 23 23 15 23 21 21 23 14 12 15 15 12 23 16 23 12 23 23 14 16 29 23 14 23 20 12 16 14 23 12 33
8141     12 23 9 14 16 36 23 20 12 16 23 23 16 23 14 23 23 36 23 12 23 0]xS
8142     75 252 M (by some other transitions. This may or may not be)[23 21 22 20 23 36 23 22 23 12 23 23 14 22 12 14 23 23 20 10 12 10 23 23 20 12 23 23 26 23 10 20
8143     23 36 23 21 23 23 14 23 36 23 21 23 23 23 12 23 23 0]xS
8144     75 300 M (possible depending on the continuous variable x at q.)[23 23 20 20 10 23 10 23 12 23 23 23 23 23 23 10 23 23 12 23 23 12 12 23 23 12 21 23 23 12 10 23
8145     23 23 23 20 12 23 23 14 10 23 23 10 23 12 22 12 23 12 12 23 0]xS
8146     75 398 M (To find a preemptive condition for transition \(q,G,q\222\), we)[26 23 13 13 10 23 23 13 23 13 23 14 23 23 36 23 12 10 23 23 13 21 23 23 23 10 12 10 23 23 13 13
8147     23 14 14 12 14 23 23 20 10 12 10 23 23 14 14 23 12 33 12 23 9 14 12 14 29 0]xS
8148     75 446 M (recall our assumption that the invariant I)[14 23 21 23 10 10 17 23 23 14 17 23 20 20 23 36 23 12 10 23 23 18 12 23 23 12 18 12 23 23 18 10
8149     23 23 23 14 10 23 23 12 18 0]xS
8150     F0S1B Ji
8151     856 452 M (q)S
8152     F0S2A Ji
8153     871 446 M ( is violated if)[18 10 20 18 23 10 23 10 23 12 23 23 18 10 0]xS
8154     75 494 M (and only if one of the guards at q is satisfied. Under this)[23 23 23 12 23 23 10 21 12 10 13 12 23 23 23 12 23 13 12 12 23 23 12 23 23 23 14 23 20 12 23 12
8155     12 23 12 10 20 13 20 23 12 10 20 13 10 23 23 12 13 13 30 23 23 23 14 13 12 23 10 0]xS
8156     75 542 M (assumption, the transition \(q,G,q\222\) will be preempted by)[23 20 20 23 36 23 12 10 23 23 12 15 12 23 23 15 12 14 23 23 20 10 12 10 23 23 15 14 23 12 33 12
8157     23 9 14 15 29 10 10 10 16 23 23 16 23 14 23 23 36 23 12 23 23 16 23 0]xS
8158     75 590 M (another dynamic transition from q if and only if the time)[23 23 23 12 23 23 14 14 23 21 23 23 36 10 21 14 12 14 23 23 20 10 12 10 23 23 14 13 14 23 36 14
8159     23 14 10 13 14 23 23 23 14 23 23 10 21 14 10 13 15 12 23 23 15 12 10 36 0]xS
8160     75 638 M (when G will become true is larger \(that is, later\) than the)[29 23 23 23 12 33 12 29 10 10 10 13 23 23 21 23 36 23 13 12 14 23 23 13 10 20 13 10 23 14 23 23
8161     14 13 14 12 23 23 12 13 10 20 12 13 10 23 12 23 14 14 13 12 23 23 23 13 12 23 0]xS
8162     75 686 M (time when will I)[12 10 36 23 14 29 23 23 23 15 15 29 10 10 10 15 0]xS
8163     F0S1B Ji
8164     384 692 M (q)S
8165     F0S2A Ji
8166     399 686 M ( become false. Denote the time when)[15 23 23 21 23 36 23 15 13 23 10 20 23 12 15 15 30 23 23 23 12 23 15 12 23 23 15 12 10 36 23 15
8167     29 23 23 0]xS
8168     75 734 M (the predicate P will become true by T\(P\). We can)[12 23 23 24 23 14 23 23 10 21 23 12 23 24 28 24 29 10 10 10 24 23 23 21 23 36 23 24 12 14 23 23
8169     24 23 21 24 26 14 28 14 12 24 25 42 23 25 21 23 0]xS
8170     75 782 M (calculate T\(P\) as follows, starting from atomic formulas.)[21 23 10 21 23 10 23 12 23 12 26 14 28 14 12 23 20 12 13 23 10 10 23 29 20 12 12 20 12 23 14 12
8171     10 23 23 12 13 14 23 36 12 23 12 23 36 10 21 12 13 23 14 36 23 10 23 20 0]xS
8172     F2S2A Ji
8173     75 889 M (Case 1)[30 23 21 23 12 0]xS
8174     F0S2A Ji
8175     207 889 M (:)S
8176     263 889 M (P=[s)[28 25 12 0]xS
8177     F0S1F Ji
8178     348 895 M (i)S
8179     F4S2A Ji
8180     355 889 M <B3>S
8181     F0S2A Ji
8182     378 889 M (C)S
8183     F0S1F Ji
8184     408 895 M (i)S
8185     F0S2A Ji
8186     415 889 M (] or P=[s)[12 17 23 14 18 28 25 12 0]xS
8187     F0S1F Ji
8188     584 895 M (i)S
8189     F0S2A Ji
8190     591 889 M (>C)[25 0]xS
8191     F0S1F Ji
8192     646 895 M (i)S
8193     F0S2A Ji
8194     653 889 M (], where s)[12 12 18 29 23 23 14 23 18 0]xS
8195     F0S1F Ji
8196     845 895 M (i)S
8197     F0S2A Ji
8198     852 889 M ( is an SV and)[18 10 20 18 23 23 18 28 28 18 23 23 0]xS
8199     : N 75 893 131 3 rp C
8200     L ; 75 948 M (C)S
8201     F0S1F Ji
8202     105 954 M (i)S
8203     F0S2A Ji
8204     112 948 M ( is a constant. By our assumption on continuous)[24 10 20 24 23 24 21 23 23 20 12 23 23 12 12 25 25 28 21 25 23 23 14 25 23 20 20 23 36 23 12 10
8205     23 23 25 23 23 25 21 23 23 12 10 23 23 23 23 0]xS
8206     75 1007 M (dynamics, s)[23 21 23 23 36 10 21 20 12 20 0]xS
8207     F0S1F Ji
8208     304 1013 M (i)S
8209     F0S2A Ji
8210     311 1007 M ( has a constant rate: s)[20 23 23 20 20 23 20 21 23 23 20 12 23 23 12 20 14 23 12 23 12 20 21 0]xS
8211     F0S1F Ji
8212     782 1013 M (i)S
8213     F0S2A Ji
8214     789 1007 M ( = r)[21 25 21 0]xS
8215     F0S1F Ji
8216     870 1013 M (i)S
8217     F0S2A Ji
8218     877 1007 M (. Therefore,)[12 21 21 26 23 23 14 23 13 23 14 23 0]xS
8219     75 1057 M (T\(P\) can be calculated as follows.)[26 14 28 14 12 21 23 23 12 23 23 12 21 23 10 21 23 10 23 12 23 23 12 23 20 12 13 23 10 10 23 29
8220     20 0]xS
8221     /F6S29 F6 [41.609 0 0 -41.609 0 0 ] mFS
8222     F6S29 Ji
8223     81 1258 M (T)S
8224     172 1258 M (P)S
8225     530 1164 M (if)[12 0]xS
8226     603 1164 M (s)S
8227     671 1164 M (C)S
8228     321 1258 M (C)S
8229     397 1258 M (s)S
8230     467 1258 M (r)S
8231     530 1258 M (if)[12 0]xS
8232     603 1258 M (s)S
8233     671 1258 M (C)S
8234     748 1258 M (r)S
8235     602 1351 M (otherwise)[21 11 21 19 16 27 12 16 0]xS
8236     /F6S18 F6 [24.965 0 0 -24.965 0 0 ] mFS
8237     F6S18 Ji
8238     619 1164 M (i)S
8239     699 1164 M (i)S
8240     349 1258 M (i)S
8241     414 1258 M (i)S
8242     483 1258 M (i)S
8243     619 1258 M (i)S
8244     699 1258 M (i)S
8245     764 1258 M (i)S
8246     /F5S18 F5 [24.965 0 0 -24.965 0 0 ] mFS
8247     F5S18 Ji
8248     115 1258 M (min)[20 6 0]xS
8249     /F5S29 F5 [41.609 0 0 -41.609 0 0 ] mFS
8250     F5S29 Ji
8251     154 1258 M (\()S
8252     198 1258 M (\))S
8253     305 1258 M (\()S
8254     423 1258 M (\))S
8255     445 1258 M (/)S
8256     /F4S29 F4 [41.609 0 0 -41.609 0 0 ] mFS
8257     F4S29 Ji
8258     222 1258 M (=)S
8259     637 1164 M (>)S
8260     365 1258 M (-)S
8261     637 1258 M (<)S
8262     714 1258 M <D9>S
8263     782 1258 M (>)S
8264     306 1351 M <A5>S
8265     27450 VM?
8266     /TT1EEb00
8267     [41 0 0 0 0 0 ]
8268     256 array 0 1 255 {1 index exch /.notdef put} for
8269     [0 0 0 0 ]
8270     [1 41 div 0 0 -1 41 div 0 0 ]
8271     /__TT1EEb00
8272     GreNewFont
8273     T32RsrcBegin
8274    
8275     1
8276     /Gec [21 0 9 -39 19 3 ]
8277     /Gec [10 42 true [1 0 0 1 -9 39 ] 0 0]
8278     [<~!Pep?)uqqu0E>J\?i]*b^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8279     ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M~>
8280     ]
8281     /TT1EEb00 AddT3T32Char
8282     T32RsrcEnd
8283     F /F9 0 /0 F /TT1EEb00 mF
8284     /F9S29 F9 [41.664 0 0 -41.664 0 0 ] mFS
8285     F9S29 Ji
8286     286 1165 M <01>S
8287     450 VM?
8288     T32RsrcBegin
8289    
8290     2
8291     /Ged [21 0 1 -39 11 3 ]
8292     /Ged [10 42 true [1 0 0 1 -1 39 ] 0 0]
8293     [<~!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM!5JWN!It3$!rrQ+%KJHg^]<9m2ujEg
8294     #64i+!It3$!Pe]N!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM~>
8295     ]
8296     /TT1EEb00 AddT3T32Char
8297     T32RsrcEnd
8298     286 1264 M <02>S
8299     450 VM?
8300     T32RsrcBegin
8301    
8302     3
8303     /Gef [21 0 8 -39 10 3 ]
8304     /Gef [2 42 true [1 0 0 1 -8 39 ] 0 0]
8305     [<~^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^q]~>
8306     ]
8307     /TT1EEb00 AddT3T32Char
8308     T32RsrcEnd
8309     286 1205 M <03>S
8310     286 1232 M <03>S
8311     450 VM?
8312     T32RsrcBegin
8313    
8314     4
8315     /Gee [21 0 9 -39 19 3 ]
8316     /Gee [10 42 true [1 0 0 1 -9 39 ] 0 0]
8317     [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8318     ^];.M^];.M^];.M^];.M^];.MhuI-b?iVk\2ujou#64e?~>
8319     ]
8320     /TT1EEb00 AddT3T32Char
8321     T32RsrcEnd
8322     286 1363 M <04>S
8323     286 1304 M <03>S
8324     286 1344 M <03>S
8325     F5S29 Ji
8326     306 1164 M (0)S
8327     816 1258 M (0)S
8328     F2S2A Ji
8329     75 1472 M (Case 2)[30 23 21 23 12 0]xS
8330     F0S2A Ji
8331     207 1472 M (:)S
8332     263 1472 M (P=[s)[28 25 12 0]xS
8333     F0S1F Ji
8334     348 1478 M (i)S
8335     F4S2A Ji
8336     355 1472 M <A3>S
8337     F0S2A Ji
8338     378 1472 M (C)S
8339     F0S1F Ji
8340     408 1478 M (i)S
8341     F0S2A Ji
8342     415 1472 M (] or P=[s)[12 12 23 14 12 28 25 12 0]xS
8343     F0S1F Ji
8344     573 1478 M (i)S
8345     F0S2A Ji
8346     580 1472 M (<C)[25 0]xS
8347     F0S1F Ji
8348     635 1478 M (i)S
8349     F0S2A Ji
8350     642 1472 M (].)[12 0]xS
8351     : N 75 1476 131 3 rp C
8352     L ; F6S29 Ji
8353     81 1675 M (T)S
8354     171 1675 M (P)S
8355     527 1581 M (if)[12 0]xS
8356     600 1581 M (s)S
8357     667 1581 M (C)S
8358     320 1675 M (C)S
8359     396 1675 M (s)S
8360     464 1675 M (r)S
8361     527 1675 M (if)[12 0]xS
8362     600 1675 M (s)S
8363     667 1675 M (C)S
8364     743 1675 M (r)S
8365     599 1768 M (otherwise)[21 12 21 18 16 28 11 17 0]xS
8366     F6S18 Ji
8367     616 1581 M (i)S
8368     695 1581 M (i)S
8369     348 1675 M (i)S
8370     412 1675 M (i)S
8371     480 1675 M (i)S
8372     616 1675 M (i)S
8373     695 1675 M (i)S
8374     759 1675 M (i)S
8375     F5S18 Ji
8376     115 1675 M (min)[19 7 0]xS
8377     F5S29 Ji
8378     154 1675 M (\()S
8379     198 1675 M (\))S
8380     304 1675 M (\()S
8381     421 1675 M (\))S
8382     443 1675 M (/)S
8383     F4S29 Ji
8384     221 1675 M (=)S
8385     634 1581 M (<)S
8386     364 1675 M (-)S
8387     634 1675 M (>)S
8388     710 1675 M <D9>S
8389     777 1675 M (<)S
8390     305 1768 M <A5>S
8391     27450 VM?
8392     /TT1F3b00
8393     [41 0 0 0 0 0 ]
8394     256 array 0 1 255 {1 index exch /.notdef put} for
8395     [0 0 0 0 ]
8396     [1 41 div 0 0 -1 41 div 0 0 ]
8397     /__TT1F3b00
8398     GreNewFont
8399     T32RsrcBegin
8400    
8401     1
8402     /Gec [21 0 9 -39 19 3 ]
8403     /Gec [10 42 true [1 0 0 1 -9 39 ] 0 0]
8404     [<~!Pep?)uqqu0E>J\?i]*b^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8405     ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M~>
8406     ]
8407     /TT1F3b00 AddT3T32Char
8408     T32RsrcEnd
8409     F /F10 0 /0 F /TT1F3b00 mF
8410     /F10S29 F10 [41.664 0 0 -41.664 0 0 ] mFS
8411     F10S29 Ji
8412     285 1582 M <01>S
8413     450 VM?
8414     T32RsrcBegin
8415    
8416     2
8417     /Ged [21 0 1 -39 11 3 ]
8418     /Ged [10 42 true [1 0 0 1 -1 39 ] 0 0]
8419     [<~!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM!5JWN!It3$!rrQ+%KJHg^]<9m2ujEg
8420     #64i+!It3$!Pe]N!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM~>
8421     ]
8422     /TT1F3b00 AddT3T32Char
8423     T32RsrcEnd
8424     285 1681 M <02>S
8425     450 VM?
8426     T32RsrcBegin
8427    
8428     3
8429     /Gef [21 0 8 -39 10 3 ]
8430     /Gef [2 42 true [1 0 0 1 -8 39 ] 0 0]
8431     [<~^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^q]~>
8432     ]
8433     /TT1F3b00 AddT3T32Char
8434     T32RsrcEnd
8435     285 1622 M <03>S
8436     285 1649 M <03>S
8437     450 VM?
8438     T32RsrcBegin
8439    
8440     4
8441     /Gee [21 0 9 -39 19 3 ]
8442     /Gee [10 42 true [1 0 0 1 -9 39 ] 0 0]
8443     [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8444     ^];.M^];.M^];.M^];.M^];.MhuI-b?iVk\2ujou#64e?~>
8445     ]
8446     /TT1F3b00 AddT3T32Char
8447     T32RsrcEnd
8448     285 1780 M <04>S
8449     285 1721 M <03>S
8450     285 1761 M <03>S
8451     F5S29 Ji
8452     305 1581 M (0)S
8453     810 1675 M (0)S
8454     F2S2A Ji
8455     75 1889 M (Case 3)[30 23 21 23 12 0]xS
8456     F0S2A Ji
8457     207 1889 M (:)S
8458     263 1889 M (P=P)[28 25 0]xS
8459     F0S1F Ji
8460     344 1895 M (1)S
8461     F4S2A Ji
8462     361 1889 M <D9>S
8463     F0S2A Ji
8464     387 1889 M (P)S
8465     F0S1F Ji
8466     415 1895 M (2)S
8467     F0S2A Ji
8468     432 1889 M (.)S
8469     : N 75 1893 131 3 rp C
8470     L ; 263 1998 M (T\(P\)=max{T\(P)[26 14 28 14 25 36 23 22 14 26 14 0]xS
8471     F0S1F Ji
8472     533 2004 M (1)S
8473     F0S2A Ji
8474     550 1998 M (\), T\(P)[14 12 12 26 14 0]xS
8475     F0S1F Ji
8476     656 2004 M (2)S
8477     F0S2A Ji
8478     673 1998 M (\)}.)[14 14 0]xS
8479     F2S2A Ji
8480     75 2107 M (Case 4)[30 23 21 23 12 0]xS
8481     F0S2A Ji
8482     207 2107 M (:)S
8483     263 2107 M (P=P)[28 25 0]xS
8484     F0S1F Ji
8485     344 2113 M (1)S
8486     F4S2A Ji
8487     361 2107 M <DA>S
8488     F0S2A Ji
8489     387 2107 M (P)S
8490     F0S1F Ji
8491     415 2113 M (2)S
8492     F0S2A Ji
8493     432 2107 M (.)S
8494     : N 75 2111 131 3 rp C
8495     L ; 263 2216 M (T\(P\)=min{T\(P)[26 14 28 14 25 36 10 23 14 26 14 0]xS
8496     F0S1F Ji
8497     521 2222 M (1)S
8498     F0S2A Ji
8499     538 2216 M (\), T\(P)[14 12 12 26 14 0]xS
8500     F0S1F Ji
8501     644 2222 M (2)S
8502     F0S2A Ji
8503     661 2216 M (\)}.)[14 14 0]xS
8504     F2S2A Ji
8505     75 2316 M (Case 5)[30 23 21 23 12 0]xS
8506     F0S2A Ji
8507     207 2316 M (:)S
8508     263 2316 M (P=true.)[28 25 12 14 23 23 0]xS
8509     : N 75 2320 131 3 rp C
8510     L ; 263 2415 M (T\(P\)=0.)[26 14 28 14 25 23 0]xS
8511     F2S2A Ji
8512     75 2513 M (Case 6)[30 23 21 23 12 0]xS
8513     F0S2A Ji
8514     207 2513 M (:)S
8515     263 2513 M (P=false.)[28 25 13 23 10 20 23 0]xS
8516     : N 75 2517 131 3 rp C
8517     L ; 263 2615 M (T\(P\)=)[26 14 28 14 0]xS
8518     F4S2A Ji
8519     370 2615 M <B5>S
8520     F0S2A Ji
8521     400 2615 M (.)S
8522     75 2713 M (Now, the condition to preempt an illegal transition)[30 23 29 12 30 12 23 23 31 21 23 23 23 10 12 10 23 23 31 12 23 31 23 14 23 23 36 23 12 31 23 23
8523     31 10 10 10 23 23 23 10 31 12 14 23 23 20 10 12 10 23 0]xS
8524     75 2770 M (\(q,G,q'\))[14 23 12 33 12 23 8 0]xS
8525     F4S2A Ji
8526     214 2770 M <CE>S
8527     F0S2A Ji
8528     243 2770 M ( DT\(q,Q)[12 30 26 14 23 12 0]xS
8529     F0S1F Ji
8530     393 2776 M (b)S
8531     F0S2A Ji
8532     410 2770 M (\) is given by)[14 12 10 20 12 23 10 23 23 23 12 23 0]xS
8533     225 2879 M (pc\(q,G,q'\)=[T\(G\)>T\()[23 21 14 23 12 33 12 23 8 14 25 12 26 14 33 14 25 26 0]xS
8534     F4S2A Ji
8535     597 2879 M <D8>S
8536     F0S2A Ji
8537     627 2879 M (I)S
8538     F0S1F Ji
8539     639 2885 M (q)S
8540     F0S2A Ji
8541     656 2879 M (\)].)[14 12 0]xS
8542     1275 156 M (Here we assume that the weakest precondition is always)[30 23 14 23 12 29 23 12 23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 13 29 23 23 21 23 20 12 13
8543     23 14 23 21 23 23 23 10 12 10 23 23 13 10 20 13 23 10 29 23 21 0]xS
8544     1275 207 M (satisfied, that is, G)[20 23 12 10 20 13 10 23 23 12 26 12 23 23 12 26 10 20 12 26 0]xS
8545     450 VM?
8546     T32RsrcBegin
8547    
8548     3
8549     /Gde [41 0 2 -21 40 0 ]
8550     /Gde [38 21 true [1 0 0 1 -2 21 ] 0 0]
8551     [<~!!!",z0E;(Q!#P\9!!!E-s8W,u!<<*!rr<$!!!.TM!!!#WzDu]k<!&srY!!!u=
8552     !!!!YzDu]k<!5JR7!!.WMs8W*!s8W,uz)uos=!#P\9!!"\Q!!!",!!~>
8553     ]
8554     /TT1A2b00 AddT3T32Char
8555     T32RsrcEnd
8556     F8S29 Ji
8557     1664 207 M <03>S
8558     F0S2A Ji
8559     1705 207 M (wp\(q,G,q\222\). Otherwise, we will)[29 23 14 23 12 33 12 23 9 14 12 26 26 33 12 23 23 14 29 10 20 23 12 27 29 23 27 29 10 10 0]xS
8560     1275 255 M (modify the preemptive condition as)[36 23 23 10 13 21 12 12 23 23 12 23 14 23 23 36 23 12 10 23 23 12 21 23 23 23 10 12 10 23 23 12
8561     23 0]xS
8562     1425 362 M (pc\(q,G,q'\)=[T\(G)[23 21 14 23 12 33 12 23 8 14 25 12 26 14 0]xS
8563     F4S2A Ji
8564     1718 362 M <D9>S
8565     F0S2A Ji
8566     1744 362 M (wp\(q,G,q'\)\)>T\()[29 23 14 23 12 33 12 23 8 14 14 25 26 0]xS
8567     F4S2A Ji
8568     2014 362 M <D8>S
8569     F0S2A Ji
8570     2044 362 M (I)S
8571     F0S1F Ji
8572     2056 368 M (q)S
8573     F0S2A Ji
8574     2073 362 M (\)].)[14 12 0]xS
8575     1275 462 M (Using this preemptive condition, we can split the)[30 20 10 23 23 33 12 23 10 20 34 23 14 23 23 36 23 12 10 23 23 34 21 23 23 23 10 12 10 23 23 12
8576     34 29 23 34 21 23 23 34 20 23 10 10 12 34 12 23 0]xS
8577     1275 510 M (configuration q into two sub-configurations: good con-)[21 23 23 13 10 23 23 14 23 12 10 23 23 18 23 18 10 23 12 23 18 12 29 23 18 20 23 23 14 21 23 23
8578     13 10 23 23 14 23 12 10 23 23 20 12 18 19 23 23 23 23 19 21 23 23 0]xS
8579     1275 567 M (figuration q)[13 10 23 23 14 23 12 10 23 23 13 0]xS
8580     F0S1F Ji
8581     1485 573 M (g)S
8582     F0S2A Ji
8583     1502 567 M ( and bad configuration q)[13 23 23 23 13 23 23 23 14 21 23 23 13 10 23 23 14 23 12 10 23 23 14 0]xS
8584     F0S1F Ji
8585     1958 573 M (b)S
8586     F0S2A Ji
8587     1975 567 M ( by partitioning the)[14 23 21 14 23 23 14 12 10 12 10 23 23 10 23 23 14 12 23 0]xS
8588     1275 626 M (invariant I)[10 23 23 23 14 10 23 23 12 12 0]xS
8589     F0S1F Ji
8590     1460 632 M (q)S
8591     F0S2A Ji
8592     1477 626 M ( as)[12 23 0]xS
8593     1425 735 M (I)S
8594     F0S1F Ji
8595     1437 741 M (qg)[17 0]xS
8596     F0S2A Ji
8597     1471 735 M (=I)[25 0]xS
8598     F0S1F Ji
8599     1508 741 M (q)S
8600     F4S2A Ji
8601     1525 735 M <D9>S
8602     F0S2A Ji
8603     1551 735 M (pc\(q,G,q'\))[23 21 14 23 12 33 12 23 8 0]xS
8604     1425 794 M (I)S
8605     F0S1F Ji
8606     1437 800 M (qb)[17 0]xS
8607     F0S2A Ji
8608     1471 794 M (=I)[25 0]xS
8609     F0S1F Ji
8610     1508 800 M (q)S
8611     F4S2A Ji
8612     1525 794 M <D9>S
8613     1551 794 M <D8>S
8614     F0S2A Ji
8615     1581 794 M (pc\(q,G,q'\).)[23 21 14 23 12 33 12 23 8 14 0]xS
8616     1275 894 M (Clearly, the dynamics of and the transitions leaving and)[30 10 23 23 14 10 21 12 14 12 23 23 14 23 21 23 23 36 10 21 20 14 23 13 14 23 23 23 14 12 23 23
8617     15 12 14 23 23 20 10 12 10 23 23 20 15 10 23 23 23 10 23 23 15 23 23 0]xS
8618     1275 951 M (entering the configurations q)[23 23 12 23 14 10 23 23 12 12 23 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 0]xS
8619     F0S1F Ji
8620     1804 957 M (g)S
8621     F0S2A Ji
8622     1821 951 M ( and q)[12 23 23 23 13 0]xS
8623     F0S1F Ji
8624     1938 957 M (b)S
8625     F0S2A Ji
8626     1955 951 M ( are the same for q,)[13 23 14 23 13 12 23 23 13 20 23 36 23 13 13 23 14 13 23 0]xS
8627     1275 1001 M (except that the transition \(q,G,q'\) is now impossible.)[23 22 21 23 23 12 12 12 23 23 12 12 12 23 23 12 12 14 23 23 20 10 12 10 23 23 12 14 23 12 33 12
8628     23 8 14 12 10 20 12 23 23 29 12 10 36 23 23 20 20 10 23 10 23 0]xS
8629     1275 1099 M (If there is more than one illegal dynamic transition at q,)[12 13 14 12 23 23 14 23 14 10 20 15 36 23 14 23 15 12 23 23 23 15 23 23 23 15 10 10 10 23 23 23
8630     10 15 23 21 23 23 36 10 21 15 12 14 23 23 20 10 12 10 23 23 15 23 12 15 23 0]xS
8631     1275 1156 M (then we will split q into q)[12 23 23 23 12 29 23 12 29 10 10 10 12 20 23 10 10 12 12 23 12 10 23 12 23 12 0]xS
8632     F0S1F Ji
8633     1728 1162 M (b)S
8634     F0S2A Ji
8635     1745 1156 M ( and I)[12 23 23 23 12 0]xS
8636     F0S1F Ji
8637     1850 1162 M (q)S
8638     F0S2A Ji
8639     1867 1156 M ( as follows.)[12 23 20 12 13 23 10 10 23 29 20 0]xS
8640     1425 1267 M (I)S
8641     F0S1F Ji
8642     1437 1273 M (qg)[17 0]xS
8643     F0S2A Ji
8644     1471 1267 M (=I)[25 0]xS
8645     F0S1F Ji
8646     1508 1273 M (q)S
8647     F4S2A Ji
8648     1525 1267 M <D9>S
8649     F0S2A Ji
8650     1551 1267 M (\()S
8651     F4S2A Ji
8652     1565 1267 M <D9>S
8653     F0S1F Ji
8654     1591 1273 M (\(q,G,q\))[10 17 9 24 9 17 0]xS
8655     /F4S1F F4 [31 0 0 -31 0 0 ] mFS
8656     F4S1F Ji
8657     1687 1273 M <CE>S
8658     F0S1F Ji
8659     1709 1273 M ( DT\(q,Qb\))[9 22 19 10 17 9 24 17 0]xS
8660     F0S2A Ji
8661     1846 1267 M ( pc\(q,G,q'\)\))[12 23 21 14 23 12 33 12 23 8 14 0]xS
8662     1425 1328 M (I)S
8663     F0S1F Ji
8664     1437 1334 M (qb)[17 0]xS
8665     F0S2A Ji
8666     1471 1328 M (=I)[25 0]xS
8667     F0S1F Ji
8668     1508 1334 M (q)S
8669     F4S2A Ji
8670     1525 1328 M <D9>S
8671     1551 1328 M <D8>S
8672     F0S2A Ji
8673     1581 1328 M (\()S
8674     F4S2A Ji
8675     1595 1328 M <D9>S
8676     F0S1F Ji
8677     1621 1334 M (\(q,G,q\))[10 17 9 24 9 17 0]xS
8678     F4S1F Ji
8679     1717 1334 M <CE>S
8680     F0S1F Ji
8681     1739 1334 M ( DT\(q,Qb\))[9 22 19 10 17 9 24 17 0]xS
8682     F0S2A Ji
8683     1876 1328 M ( pc\(q,G,q'\)\).)[12 23 21 14 23 12 33 12 23 8 14 14 0]xS
8684     1275 1428 M (From the above discussion, we can now formally)[26 14 23 36 32 12 23 23 32 23 23 23 23 23 33 23 10 20 21 23 20 20 10 23 23 12 33 29 23 33 21 23
8685     23 33 23 23 29 33 13 23 14 36 23 10 10 0]xS
8686     1275 1476 M (describe our reachability algorithm.)[23 23 20 21 14 10 23 23 12 23 23 14 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10
8687     12 23 36 0]xS
8688     1275 1672 M (REACHABILITY ALGORITHM)[30 28 28 30 30 28 28 12 23 12 26 28 12 28 23 33 33 30 12 26 30 0]xS
8689     /F0S32 F0 [50 0 0 -50 0 0 ] mFS
8690     F0S32 Ji
8691     1275 1779 M (Input)[14 28 28 28 0]xS
8692     : N 1275 1784 111 4 rp C
8693     L ; F4S2A Ji
8694     1350 1882 M <B7>S
8695     F0S2A Ji
8696     1369 1882 M (The model of the system)[26 23 23 12 36 23 23 23 10 12 23 13 12 12 23 23 12 20 21 20 12 23 0]xS
8697     1500 1983 M (CHM=\(Q,)[30 30 35 25 14 33 0]xS
8698     F4S2A Ji
8699     1679 1983 M (S)S
8700     F0S2A Ji
8701     1705 1983 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
8702     F0S1B Ji
8703     1908 1989 M (0)S
8704     F0S2A Ji
8705     1923 1983 M (, x)[12 12 0]xS
8706     F0S1B Ji
8707     1969 1989 M (0)S
8708     F0S2A Ji
8709     1984 1983 M (\)\).)[14 14 0]xS
8710     F4S2A Ji
8711     1350 2084 M <B7>S
8712     F0S2A Ji
8713     1369 2084 M (The set of illegal configuration)[26 23 23 12 20 23 12 12 23 13 12 10 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 0]xS
8714     1500 2191 M (Q)S
8715     F0S1F Ji
8716     1533 2197 M (b)S
8717     F4S2A Ji
8718     1550 2191 M <CD>S
8719     F0S2A Ji
8720     1581 2191 M (Q.)[33 0]xS
8721     F0S32 Ji
8722     1275 2300 M (Output)[39 28 14 28 28 0]xS
8723     : N 1275 2305 150 4 rp C
8724     L ; F4S2A Ji
8725     1350 2409 M <B7>S
8726     F0S2A Ji
8727     1369 2409 M (The set of good invariants I)[26 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 10 23 23 23 14 10 23 23 12 20 12 0]xS
8728     F0S1F Ji
8729     1877 2415 M (qg)[17 0]xS
8730     F0S2A Ji
8731     1500 2518 M (GI={ I)[33 12 25 14 12 0]xS
8732     F0S1F Ji
8733     1608 2524 M (qg)[17 0]xS
8734     F0S2A Ji
8735     1642 2518 M (: q)[12 12 0]xS
8736     F4S2A Ji
8737     1689 2518 M <CE>S
8738     F0S2A Ji
8739     1718 2518 M (Q}.)[33 14 0]xS
8740     F0S32 Ji
8741     1275 2627 M (Execution)[33 24 28 25 28 14 12 28 0]xS
8742     : N 1275 2632 219 4 rp C
8743     L ; 1388 2736 M (Initialization)[14 28 12 14 12 28 12 12 25 28 14 12 28 0]xS
8744     : N 1388 2741 266 4 rp C
8745     L ; F0S2A Ji
8746     1402 2845 M (1.)[23 0]xS
8747     1463 2845 M (P:={ q)[28 12 25 14 12 0]xS
8748     F0S1F Ji
8749     1577 2851 M (g)S
8750     F0S2A Ji
8751     1594 2845 M (: q)[12 12 0]xS
8752     F4S2A Ji
8753     1641 2845 M <CE>S
8754     F0S2A Ji
8755     1670 2845 M (Q};)[33 14 0]xS
8756     1402 2948 M (2.)[23 0]xS
8757     1463 2948 M (R:={ q)[30 12 25 14 12 0]xS
8758     /F5S2A F5 [42 0 0 -42 0 0 ] mFS
8759     F5S2A Ji
8760     1579 2948 M (b)S
8761     F0S2A Ji
8762     1599 2948 M (: q)[12 12 0]xS
8763     F4S2A Ji
8764     1646 2948 M <CE>S
8765     F0S2A Ji
8766     1675 2948 M (Q};)[33 14 0]xS
8767     1402 3050 M (3.)[23 0]xS
8768     1463 3050 M (For all q)[26 23 14 12 23 10 10 12 0]xS
8769     F4S2A Ji
8770     1616 3050 M <CE>S
8771     F0S2A Ji
8772     1645 3050 M (Q-Q)[33 14 0]xS
8773     F5S2A Ji
8774     1725 3050 M (b)S
8775     F0S2A Ji
8776     1745 3050 M ( do)[12 23 0]xS
8777     LH
8778     (%%[Page: 12]%%) =
8779     %%PageTrailer
8780    
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8788    
8789     0 0 0 1 scol 1185 3158 M (1)S
8790     1208 3158 M (3)S
8791     300 157 M (I)S
8792     F5S2A Ji
8793     312 157 M (qg)[21 0]xS
8794     F0S2A Ji
8795     354 157 M (:=I)[12 25 0]xS
8796     F5S2A Ji
8797     403 157 M (q)S
8798     F0S2A Ji
8799     424 157 M (;)S
8800     300 257 M (I)S
8801     F5S2A Ji
8802     312 257 M (qb)[21 0]xS
8803     F0S2A Ji
8804     353 257 M (:=false;)[12 25 13 23 10 20 23 0]xS
8805     202 359 M (4.)[23 0]xS
8806     263 359 M (For all q)[26 23 14 12 23 10 10 12 0]xS
8807     F4S2A Ji
8808     416 359 M <CE>S
8809     F0S2A Ji
8810     445 359 M (Q)S
8811     F5S2A Ji
8812     478 359 M (b)S
8813     F0S2A Ji
8814     498 359 M ( do)[12 23 0]xS
8815     300 459 M (I)S
8816     F5S2A Ji
8817     312 459 M (qg)[21 0]xS
8818     F0S2A Ji
8819     354 459 M (:=false;)[12 25 13 23 10 20 23 0]xS
8820     300 559 M (I)S
8821     F5S2A Ji
8822     312 559 M (qb)[21 0]xS
8823     F0S2A Ji
8824     353 559 M (:= I)[12 25 12 0]xS
8825     F5S2A Ji
8826     414 559 M (q)S
8827     F0S2A Ji
8828     435 559 M (;)S
8829     202 658 M (5.)[23 0]xS
8830     263 658 M (Stop:=true;)[28 12 23 23 12 25 12 14 23 23 0]xS
8831     F0S32 Ji
8832     188 765 M (Iteration)[14 14 28 17 28 14 12 28 0]xS
8833     : N 188 770 182 4 rp C
8834     L ; F0S2A Ji
8835     202 868 M (6.)[23 0]xS
8836     263 868 M (For all q such that I)[26 23 14 12 23 10 10 12 23 12 20 23 21 23 12 12 23 23 12 12 0]xS
8837     F5S2A Ji
8838     621 868 M (qg)[21 0]xS
8839     F4S2A Ji
8840     663 868 M <B9>S
8841     F0S2A Ji
8842     687 868 M (false do)[13 23 10 20 23 12 23 0]xS
8843     300 970 M (H:=)[30 12 0]xS
8844     F4S2A Ji
8845     367 970 M <D9>S
8846     F5S2A Ji
8847     393 970 M (\(q,G,q\222\))[14 21 11 30 11 21 14 0]xS
8848     F4S2A Ji
8849     529 970 M <CE>S
8850     F5S2A Ji
8851     558 970 M ( DT\(q,R\))[11 30 26 14 21 11 27 0]xS
8852     F0S2A Ji
8853     712 970 M ( pc\(q,G,q\222\);)[12 23 21 14 23 12 33 12 23 9 14 0]xS
8854     300 1072 M (If I)[12 13 12 0]xS
8855     F5S2A Ji
8856     349 1072 M (qg)[21 0]xS
8857     F4S2A Ji
8858     391 1072 M <B9>S
8859     F0S2A Ji
8860     415 1072 M (I)S
8861     F5S2A Ji
8862     427 1072 M (q)S
8863     F4S2A Ji
8864     448 1072 M <D9>S
8865     F0S2A Ji
8866     474 1072 M (H then)[30 12 12 23 23 0]xS
8867     338 1174 M (I)S
8868     F5S2A Ji
8869     350 1174 M (qg:)[21 21 0]xS
8870     F0S2A Ji
8871     404 1174 M (=I)[25 0]xS
8872     F5S2A Ji
8873     441 1174 M (q)S
8874     F4S2A Ji
8875     462 1174 M <D9>S
8876     F0S2A Ji
8877     488 1174 M (H;)[30 0]xS
8878     338 1276 M (I)S
8879     F5S2A Ji
8880     350 1276 M (qb:)[21 20 0]xS
8881     F0S2A Ji
8882     403 1276 M (=I)[25 0]xS
8883     F5S2A Ji
8884     440 1276 M (q)S
8885     F4S2A Ji
8886     461 1276 M <D9>S
8887     487 1276 M <D8>S
8888     F0S2A Ji
8889     517 1276 M (H;)[30 0]xS
8890     338 1375 M (Stop:=false;)[28 12 23 23 12 25 13 23 10 20 23 0]xS
8891     202 1473 M (7.)[23 0]xS
8892     263 1473 M (If Stop=true, then go to 10;)[12 13 12 28 12 23 23 25 12 14 23 23 12 12 12 23 23 23 12 23 23 12 12 23 12 23 23 0]xS
8893     202 1571 M (8.)[23 0]xS
8894     263 1571 M (Stop:=true;)[28 12 23 23 12 25 12 14 23 23 0]xS
8895     202 1669 M (9.)[23 0]xS
8896     263 1669 M (Go to 6;)[33 23 12 12 23 12 23 0]xS
8897     188 1767 M (10.)[23 23 0]xS
8898     263 1767 M (End.)[28 23 23 0]xS
8899     75 1865 M (This algorithm takes the CHM model of the system and)[26 23 10 20 15 23 10 23 23 14 10 12 23 36 15 12 23 21 23 20 15 12 23 23 15 30 30 35 15 36 23 23
8900     23 10 15 23 13 15 12 23 23 15 20 21 20 12 23 36 15 23 23 0]xS
8901     75 1921 M (the set of illegal configurations Q)[12 23 23 13 20 23 12 13 23 13 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23
8902     20 14 0]xS
8903     F5S1F Ji
8904     693 1927 M (b)S
8905     F0S2A Ji
8906     708 1921 M ( as inputs. Both CHM)[14 23 20 14 10 23 23 23 12 20 12 14 14 28 23 12 23 14 30 30 0]xS
8907     75 1980 M (and Q)[23 23 23 12 0]xS
8908     F5S1F Ji
8909     189 1986 M (b)S
8910     F0S2A Ji
8911     204 1980 M ( can be obtained automatically from the EHMs as)[12 21 23 23 12 23 23 12 23 23 12 23 10 23 23 23 13 23 23 12 23 36 23 12 10 21 23 10 10 21 13 13
8912     14 23 36 13 12 23 23 13 28 30 35 20 13 23 0]xS
8913     75 2031 M (described in the previous section. The algorithm first)[23 23 20 21 14 10 23 23 23 20 10 23 20 12 23 23 20 23 14 23 23 10 23 23 20 20 20 23 21 12 10 23
8914     23 12 20 20 26 23 23 20 23 10 23 23 14 10 12 23 36 21 13 10 14 20 0]xS
8915     75 2079 M (makes two copies q)[36 23 21 23 20 14 12 29 23 14 21 23 23 10 23 20 14 0]xS
8916     F0S1B Ji
8917     447 2085 M (g)S
8918     F0S2A Ji
8919     462 2079 M ( and q)[14 23 23 23 14 0]xS
8920     F0S1B Ji
8921     582 2085 M (b)S
8922     F0S2A Ji
8923     597 2079 M ( for each configuration q. It)[14 13 23 14 14 23 23 21 23 15 21 23 23 13 10 23 23 14 23 12 10 23 23 15 23 12 15 15 12 0]xS
8924     75 2135 M (then repeatedly partitions the invariant I)[12 23 23 23 28 14 23 23 23 23 12 23 23 10 21 28 23 23 14 12 10 12 10 23 23 20 28 12 23 23 28 10
8925     23 23 23 14 10 23 23 12 28 0]xS
8926     F5S1F Ji
8927     892 2141 M (q)S
8928     F0S2A Ji
8929     907 2135 M ( into )[29 10 23 12 23 0]xS
8930     F2S2A Ji
8931     1033 2135 M (good)[23 23 23 0]xS
8932     F0S2A Ji
8933     75 2194 M (invariant I)[10 23 23 23 14 10 23 23 12 16 0]xS
8934     F5S1F Ji
8935     264 2200 M (qg)[15 0]xS
8936     F0S2A Ji
8937     294 2194 M ( and )[16 23 23 23 0]xS
8938     F2S2A Ji
8939     395 2194 M (bad)[23 23 0]xS
8940     F0S2A Ji
8941     464 2194 M ( invariant I)[16 10 23 23 23 14 10 23 23 12 16 0]xS
8942     F5S1F Ji
8943     669 2200 M (qb)[15 0]xS
8944     F0S2A Ji
8945     699 2194 M (. The initial partition is)[12 16 26 23 23 16 10 23 10 12 10 23 10 16 23 23 14 12 10 12 10 23 23 16 10 0]xS
8946     75 2245 M (straightforward. Subsequent partitions require the)[20 12 14 23 10 23 23 12 13 23 14 29 23 14 23 12 45 28 23 23 20 23 23 23 23 23 12 46 23 23 14 12
8947     10 12 10 23 23 20 46 14 23 23 23 10 14 23 46 12 23 0]xS
8948     75 2293 M (computation of preemptive conditions. The output of the)[21 23 36 23 23 12 23 12 10 23 23 13 23 13 13 23 14 23 23 36 23 12 10 23 23 13 21 23 23 23 10 12
8949     10 23 23 20 12 13 26 23 23 13 23 23 12 23 23 12 14 23 13 14 12 23 0]xS
8950     75 2350 M (algorithm is the set of good invariants GI={ I)[23 10 23 23 14 10 12 23 36 12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 10 23 23
8951     23 14 10 23 23 12 20 12 33 12 25 14 12 0]xS
8952     F0S1F Ji
8953     893 2356 M (qg)[17 0]xS
8954     F0S2A Ji
8955     927 2350 M (: q)[12 12 0]xS
8956     F4S2A Ji
8957     974 2350 M <CE>S
8958     F0S2A Ji
8959     1003 2350 M (Q}.)[33 14 0]xS
8960     75 2459 M (Various information can be derived from GI={I)[28 23 14 10 23 23 20 15 10 23 13 23 14 36 23 12 10 23 23 15 21 23 23 15 23 23 15 23 23 14 10 23
8961     23 23 16 13 14 23 36 16 33 12 25 14 0]xS
8962     F0S1F Ji
8963     952 2465 M (qg)[17 0]xS
8964     F0S2A Ji
8965     986 2459 M (: q)[12 16 0]xS
8966     F4S2A Ji
8967     1037 2459 M <CE>S
8968     F0S2A Ji
8969     1066 2459 M (Q}.)[33 14 0]xS
8970     75 2509 M (For example, interrupt latency requirements will not be)[26 23 14 17 23 22 23 36 23 10 23 12 17 10 23 12 23 14 14 23 23 12 17 10 23 12 23 23 21 21 17 14
8971     23 23 23 10 14 23 36 23 23 12 20 17 29 10 10 10 18 23 23 12 18 23 0]xS
8972     75 2557 M (violated if and only if for the given intial condition \(q)[23 10 23 10 23 12 23 23 18 10 13 18 23 23 23 18 23 23 10 21 18 10 13 18 13 23 14 18 12 23 23 18
8973     23 10 23 23 23 18 10 23 12 10 23 10 18 21 23 23 23 10 12 10 23 23 19 14 0]xS
8974     F0S1B Ji
8975     1098 2563 M (0)S
8976     F0S2A Ji
8977     1113 2557 M (,)S
8978     75 2613 M (x)S
8979     F0S1B Ji
8980     97 2619 M (0)S
8981     F0S2A Ji
8982     112 2613 M (\), the good invariant at the initial configuration I)[14 12 17 12 23 23 17 23 23 23 23 17 10 23 23 23 14 10 23 23 12 17 23 12 17 12 23 23 17 10 23 10
8983     12 10 23 10 18 21 23 23 13 10 23 23 14 23 12 10 23 23 18 0]xS
8984     F5S1F Ji
8985     1031 2619 M (q0g)[15 16 0]xS
8986     F0S2A Ji
8987     1077 2613 M ( is)[18 10 0]xS
8988     75 2664 M (satisfied by x)[20 23 12 10 20 13 10 23 23 12 23 21 12 0]xS
8989     F0S1B Ji
8990     319 2670 M (0)S
8991     F0S2A Ji
8992     334 2664 M (, that is,)[12 12 12 23 23 12 12 10 20 0]xS
8993     225 2770 M (I)S
8994     F5S1F Ji
8995     237 2776 M (q0g)[15 16 0]xS
8996     F4S2A Ji
8997     283 2770 M <BD>S
8998     F5S1F Ji
8999     308 2776 M (x= x0)[15 17 8 15 0]xS
9000     F0S2A Ji
9001     379 2770 M (=true.)[25 12 14 23 23 0]xS
9002     F1S2A Ji
9003     1275 157 M (EXAMPLE: HYBRID SYSTEM MODEL OF)[28 28 29 35 28 26 28 14 12 12 30 28 30 30 12 30 12 28 28 28 27 28 35 12 35 33 30 28 26 12 33 0]xS
9004     1275 207 M (MICROPROCESSOR SYSTEM WITH REACHABILITY)[35 12 30 30 33 28 30 33 30 28 28 28 33 30 12 28 28 28 27 28 35 12 39 12 27 30 12 30 28 29 30 30
9005     29 30 12 26 12 27 0]xS
9006     1275 257 M (SOLUTION)[28 33 26 30 27 12 33 0]xS
9007     F0S2A Ji
9008     1275 356 M (To illustrate our approach, we consider a small example.)[26 23 12 10 10 10 23 20 12 14 23 12 23 12 23 23 14 12 23 23 23 14 23 23 21 23 12 12 29 23 12 21
9009     23 23 20 10 23 23 14 12 23 12 20 36 23 10 10 12 23 22 23 36 23 10 23 0]xS
9010     1275 405 M (The system consists of two sources of interrupts, IS)[26 23 23 12 20 21 20 12 23 36 12 21 23 23 20 10 20 12 20 12 23 13 12 12 29 23 12 20 23 23 14 21
9011     23 20 12 23 13 12 10 23 12 23 14 14 23 23 12 20 12 12 12 0]xS
9012     /F5S1B F5 [27 0 0 -27 0 0 ] mFS
9013     F5S1B Ji
9014     2230 411 M (1)S
9015     F0S2A Ji
9016     2244 405 M ( and)[12 23 23 0]xS
9017     1275 455 M (IS)[12 0]xS
9018     F5S1B Ji
9019     1315 461 M (2)S
9020     F0S2A Ji
9021     1329 455 M (. Both request interrupt service periodically, with)[12 29 28 23 12 23 29 14 23 23 23 23 20 12 29 10 23 12 23 14 14 23 23 12 29 20 23 14 23 10 21 23
9022     29 23 23 14 10 23 23 10 21 23 10 10 21 12 30 29 10 12 0]xS
9023     1275 505 M (periods T)[23 23 14 10 23 23 20 26 0]xS
9024     F5S1B Ji
9025     1463 511 M (1)S
9026     F0S2A Ji
9027     1477 505 M ( and T)[26 23 23 23 26 0]xS
9028     F5S1B Ji
9029     1624 511 M (2)S
9030     F0S2A Ji
9031     1638 505 M (, respectively. The corresponding)[12 26 14 23 20 23 23 21 12 10 23 23 10 21 12 26 26 26 23 23 27 21 23 14 14 23 20 23 23 23 23 10
9032     23 0]xS
9033     1275 555 M (interrupt service routines ISR)[10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 20 12 12 28 0]xS
9034     F5S1B Ji
9035     1817 561 M (1)S
9036     F0S2A Ji
9037     1831 555 M ( and ISR)[13 23 23 23 13 12 28 0]xS
9038     F5S1B Ji
9039     1996 561 M (2)S
9040     F0S2A Ji
9041     2010 555 M ( are executed on)[13 23 14 23 13 23 22 23 21 23 12 23 23 13 23 0]xS
9042     1275 605 M (the same CPU, with priority given to IS)[12 23 23 18 20 23 36 23 18 30 28 30 12 18 29 10 12 23 18 23 14 10 23 14 10 12 21 19 23 10 23 23
9043     23 19 12 23 19 12 0]xS
9044     F5S1B Ji
9045     2042 611 M (1)S
9046     F0S2A Ji
9047     2056 605 M (. It takes the)[12 19 19 12 12 19 12 23 21 23 20 19 12 23 0]xS
9048     1275 655 M (CPU C)[30 28 30 16 0]xS
9049     F5S1B Ji
9050     1409 661 M (1)S
9051     F0S2A Ji
9052     1423 655 M ( and C)[16 23 23 23 16 0]xS
9053     F5S1B Ji
9054     1554 661 M (2)S
9055     F0S2A Ji
9056     1568 655 M ( units of time to execute ISR)[16 23 23 10 12 20 16 23 13 16 12 10 36 23 17 12 23 17 23 22 23 21 23 12 23 17 12 28 0]xS
9057     F5S1B Ji
9058     2124 661 M (1)S
9059     F0S2A Ji
9060     2138 655 M ( and ISR)[17 23 23 23 17 12 28 0]xS
9061     F5S1B Ji
9062     2311 661 M (2)S
9063     F0S2A Ji
9064     1275 704 M (respectively. We assume that both ISRs are atomic.)[14 23 20 23 23 21 12 10 23 23 10 21 12 20 21 42 23 21 23 20 20 23 36 23 21 12 23 23 12 21 23 23
9065     12 23 21 12 28 30 20 21 23 14 23 21 23 12 23 36 10 21 0]xS
9066     1275 752 M (The interrupt latencies cannot exceed the deadlines)[26 23 23 27 10 23 12 23 14 14 23 23 12 27 10 23 12 23 23 21 10 23 20 27 21 23 23 23 23 12 27 23
9067     22 21 23 23 23 27 12 23 23 28 23 23 23 23 10 10 23 23 0]xS
9068     1275 801 M (d)S
9069     F5S1B Ji
9070     1298 807 M (1)S
9071     F0S2A Ji
9072     1312 801 M (=T)[25 0]xS
9073     F5S1B Ji
9074     1363 807 M (1)S
9075     F0S2A Ji
9076     1377 801 M (-C)[14 0]xS
9077     F5S1B Ji
9078     1421 807 M (1)S
9079     F0S2A Ji
9080     1435 801 M ( and d)[14 23 23 23 14 0]xS
9081     F5S1B Ji
9082     1555 807 M (2)S
9083     F0S2A Ji
9084     1569 801 M (=T)[25 0]xS
9085     F5S1B Ji
9086     1620 807 M (2)S
9087     F0S2A Ji
9088     1634 801 M (-C)[14 0]xS
9089     F5S1B Ji
9090     1678 807 M (2)S
9091     F0S2A Ji
9092     1692 801 M ( respectively. In other words, the)[14 14 23 20 23 23 21 12 10 23 23 10 21 12 15 15 12 23 15 23 12 23 23 14 15 29 23 14 23 20 12 15
9093     12 23 0]xS
9094     1275 850 M (interrupt service routines must be completed before the)[10 23 12 23 14 14 23 23 12 15 20 23 14 23 10 21 23 15 14 23 23 12 10 23 23 20 15 36 23 20 12 15
9095     23 23 15 21 23 36 23 10 23 12 23 23 15 23 23 13 23 14 23 16 12 23 0]xS
9096     1275 898 M (next period. We will show how this problem can be)[23 23 22 12 21 23 23 14 10 23 23 12 21 22 42 23 22 29 10 10 10 22 20 23 23 29 22 23 23 29 22 12
9097     23 10 20 22 23 14 23 23 10 23 36 22 21 23 23 22 23 0]xS
9098     1275 946 M (solved using our approach.)[20 23 10 23 23 23 12 23 20 10 23 23 12 23 23 14 12 23 23 23 14 23 23 21 23 0]xS
9099     1275 1045 M (To model the interrupt sources IS)[26 23 21 36 23 23 23 10 21 12 23 23 21 10 23 12 23 14 14 23 23 12 21 20 23 23 14 21 23 20 21 12
9100     0]xS
9101     F5S1B Ji
9102     1940 1051 M (i)S
9103     F0S2A Ji
9104     1947 1045 M (, i=1,2, we use the)[12 21 10 25 23 12 23 12 21 29 23 21 23 20 23 22 12 23 0]xS
9105     1275 1095 M (EHM)[28 30 0]xS
9106     F5S1B Ji
9107     1368 1101 M (i)S
9108     F0S2A Ji
9109     1375 1095 M ( shown in Figure )[12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
9110     1693 1095 M (11)[23 0]xS
9111     1739 1095 M (.)S
9112     /F5S23 F5 [35.008 0 0 -35.008 0 0 ] mFS
9113     F5S23 Ji
9114     1762 1741 M ( )S
9115     1770 1741 M (t)S
9116     /F5S14 F5 [20.422 0 0 -20.422 0 0 ] mFS
9117     F5S14 Ji
9118     1779 1750 M (i)S
9119     F5S23 Ji
9120     1784 1741 M <92>S
9121     1796 1741 M (=)S
9122     1816 1741 M (1)S
9123     1762 1776 M ( )S
9124     1770 1776 M ([)S
9125     1782 1776 M (t)S
9126     F5S14 Ji
9127     1790 1785 M (i)S
9128     F5S23 Ji
9129     1796 1776 M (<)S
9130     1816 1776 M (d)S
9131     F5S14 Ji
9132     1833 1785 M (i)S
9133     F5S23 Ji
9134     1838 1776 M (])S
9135     1745 2147 M ( )S
9136     1753 2147 M (t)S
9137     F5S14 Ji
9138     1762 2156 M (i)S
9139     F5S23 Ji
9140     1767 2147 M <92>S
9141     1779 2147 M (=)S
9142     1799 2147 M (1)S
9143     1745 2182 M ( )S
9144     1753 2182 M ([)S
9145     1765 2182 M (t)S
9146     F5S14 Ji
9147     1773 2191 M (i)S
9148     F5S23 Ji
9149     1779 2182 M (<)S
9150     1799 2182 M (T)S
9151     F5S14 Ji
9152     1818 2191 M (i)S
9153     F5S23 Ji
9154     1824 2182 M (])S
9155     1765 1356 M ( )S
9156     1773 1356 M (I)S
9157     1784 1356 M (l)S
9158     1793 1356 M (l)S
9159     1801 1356 M (e)S
9160     1816 1356 M (g)S
9161     1833 1356 M (a)S
9162     1847 1356 M (l)S
9163     0 Lj 2 Lc 2 Lw : 1650 1155 338 343 rc N 1929 1201 M 1707 1201 I 1707 1438 I 1929 1438 I C
9164     : 2.832 2.914 +S K
9165     ; ; N 1770 1603 M 1701 1603 I 1701 1671 I 1770 1671 I C
9166     : 2.832 2.914 +S K
9167     ; : 1708 1610 9 34 rc 1708 1636 M ( )S
9168     ; : 1716 1610 25 34 rc 1716 1636 M (A)S
9169     ; F5S14 Ji
9170     1739 1645 M (i)S
9171     N 1762 2009 M 1696 2009 I 1696 2074 I 1762 2074 I C
9172     : 2.832 2.914 +S K
9173     ; : 1702 2016 9 34 rc F5S23 Ji
9174     1702 2042 M ( )S
9175     ; : 1711 2016 23 34 rc F5S23 Ji
9176     1711 2042 M (B)S
9177     ; 1733 2051 M (i)S
9178     : 1650 1155 179 171 rc N 1770 1204 M 1707 1204 I 1707 1266 I 1770 1266 I C
9179     : 2.832 2.914 +S K
9180     ; ; : 1714 1210 9 35 rc F5S23 Ji
9181     1714 1237 M ( )S
9182     ; : 1722 1210 23 35 rc F5S23 Ji
9183     1722 1237 M (C)S
9184     ; 1745 1245 M (i)S
9185     N 1923 1600 M 1701 1600 I 1701 1838 I 1923 1838 I C
9186     : 2.832 2.914 +S K
9187     ; F5S23 Ji
9188     1818 1534 M ( )S
9189     1827 1534 M ([)S
9190     1838 1534 M (t)S
9191     F5S14 Ji
9192     1847 1543 M (i)S
9193     F5S23 Ji
9194     1852 1534 M (>)S
9195     1872 1534 M (d)S
9196     F5S14 Ji
9197     1889 1543 M (i)S
9198     F5S23 Ji
9199     1895 1534 M (])S
9200     1906 1534 M ( )S
9201     1915 1534 M (-)S
9202     1926 1534 M (>)S
9203     1946 1534 M ( )S
9204     1955 1534 M (A)S
9205     F5S14 Ji
9206     1977 1543 M (i)S
9207     F5S23 Ji
9208     1983 1534 M (=)S
9209     2003 1534 M (0)S
9210     1861 1943 M ( )S
9211     1869 1943 M (s)S
9212     1884 1943 M (t)S
9213     1892 1943 M (a)S
9214     1906 1943 M (r)S
9215     1918 1943 M (t)S
9216     F5S14 Ji
9217     1926 1952 M (i)S
9218     F5S23 Ji
9219     1932 1943 M ( )S
9220     1940 1943 M (-)S
9221     1952 1943 M (>)S
9222     1972 1943 M ( )S
9223     1980 1943 M (A)S
9224     F5S14 Ji
9225     2003 1952 M (i)S
9226     F5S23 Ji
9227     2008 1943 M (=)S
9228     2028 1943 M (0)S
9229     N 1869 1946 M 1926 1946 I 1926 1949 I 1869 1949 I 1869 1946 I C
9230     O 1470 1940 M ( )S
9231     1478 1940 M ( )S
9232     1487 1940 M ([)S
9233     1498 1940 M (t)S
9234     F5S14 Ji
9235     1507 1949 M (i)S
9236     F5S23 Ji
9237     1512 1940 M (>)S
9238     1532 1940 M (T)S
9239     F5S14 Ji
9240     1552 1949 M (i)S
9241     F5S23 Ji
9242     1558 1940 M (])S
9243     1569 1940 M ( )S
9244     1577 1940 M (-)S
9245     1589 1940 M (>)S
9246     1609 1940 M ( )S
9247     1617 1940 M (t)S
9248     F5S14 Ji
9249     1626 1949 M (i)S
9250     F5S23 Ji
9251     1631 1940 M (=)S
9252     1651 1940 M (0)S
9253     1668 1940 M (,)S
9254     1680 1940 M ( )S
9255     1688 1940 M (A)S
9256     F5S14 Ji
9257     1711 1949 M (i)S
9258     F5S23 Ji
9259     1716 1940 M (=)S
9260     1736 1940 M (1)S
9261     1 Lw N 1813 1598 M 1813 1447 I : 2.832 2.914 +S K
9262     ; N 1807 1450 M 1818 1450 I 1813 1438 I 1807 1450 I C
9263     O N 1807 1450 M 1818 1450 I : 2.832 2.914 +S K
9264     ; N 1818 1450 M 1813 1438 I : 2.832 2.914 +S K
9265     ; N 1813 1438 M 1807 1450 I : 2.832 2.914 +S K
9266     ; 2 Lw : 1639 1951 338 336 rc N 1918 2009 M 1696 2009 I 1696 2246 I 1918 2246 I C
9267     : 2.832 2.914 +S K
9268     ; ; 1 Lw N 1770 1998 M 1770 1846 I : 2.832 2.914 +S K
9269     ; N 1765 1849 M 1776 1849 I 1770 1838 I 1765 1849 I C
9270     O N 1765 1849 M 1776 1849 I : 2.832 2.914 +S K
9271     ; N 1776 1849 M 1770 1838 I : 2.832 2.914 +S K
9272     ; N 1770 1838 M 1765 1849 I : 2.832 2.914 +S K
9273     ; N 1855 1844 M 1855 1995 I : 2.832 2.914 +S K
9274     ; N 1861 1995 M 1850 1995 I 1855 2004 I 1861 1995 I C
9275     O N 1861 1995 M 1850 1995 I : 2.832 2.914 +S K
9276     ; N 1850 1995 M 1855 2004 I : 2.832 2.914 +S K
9277     ; N 1855 2004 M 1861 1995 I : 2.832 2.914 +S K
9278     ; N 1634 1715 M 1691 1715 I : 2.832 2.914 +S K
9279     ; N 1691 1709 M 1691 1721 I 1699 1715 I 1691 1709 I C
9280     O N 1691 1709 M 1691 1721 I : 2.832 2.914 +S K
9281     ; N 1691 1721 M 1699 1715 I : 2.832 2.914 +S K
9282     ; N 1699 1715 M 1691 1709 I : 2.832 2.914 +S K
9283     ; F1S2A Ji
9284     1597 2377 M (Figure )[26 12 26 26 16 23 0]xS
9285     1738 2377 M (11)[23 0]xS
9286     1784 2377 M (. ISR)[12 12 12 12 28 0]xS
9287     /F1S1B F1 [27 0 0 -27 0 0 ] mFS
9288     F1S1B Ji
9289     1890 2383 M (i)S
9290     F1S2A Ji
9291     1898 2377 M ( EHM)[12 28 30 0]xS
9292     F0S2A Ji
9293     1275 2477 M (EHM)[28 30 0]xS
9294     F5S1B Ji
9295     1368 2483 M (i)S
9296     F0S2A Ji
9297     1375 2477 M ( has three vertices: in configuration A)[13 23 23 20 13 12 23 14 23 23 13 23 23 14 12 10 21 23 20 12 13 14 10 23 14 21 23 23 13 10 23 23
9298     14 23 12 10 23 23 14 0]xS
9299     F5S1B Ji
9300     2090 2483 M (i)S
9301     F0S2A Ji
9302     2097 2477 M ( an interrupt)[14 23 23 14 10 23 12 23 14 14 23 23 0]xS
9303     1275 2527 M (is pending, and configuration C)[10 20 15 23 23 23 23 10 23 23 12 15 23 23 23 15 21 23 23 13 10 23 23 14 23 12 10 23 23 15 0]xS
9304     F5S1B Ji
9305     1865 2533 M (i)S
9306     F0S2A Ji
9307     1872 2527 M ( is illegal. SV t)[15 10 20 15 10 10 10 23 23 23 10 12 15 15 28 28 16 0]xS
9308     F5S1B Ji
9309     2167 2533 M (i)S
9310     F0S2A Ji
9311     2174 2527 M ( models)[16 36 23 23 23 10 0]xS
9312     1275 2577 M (the clock and SV A)[12 23 23 20 21 10 23 21 21 20 23 23 23 20 28 28 20 0]xS
9313     F5S1B Ji
9314     1662 2583 M (i)S
9315     F0S2A Ji
9316     1669 2577 M ( indicates whether the EHM)[20 10 23 23 10 21 23 12 23 20 20 29 23 23 12 23 23 14 20 12 23 23 21 28 30 0]xS
9317     F5S1B Ji
9318     2213 2583 M (i)S
9319     F0S2A Ji
9320     2220 2577 M ( is in)[21 10 20 21 10 0]xS
9321     1275 2627 M (vertex A)[23 23 14 12 23 22 23 0]xS
9322     F5S1B Ji
9323     1443 2633 M (i)S
9324     F0S32 Ji
9325     1450 2627 M ( )S
9326     F0S2A Ji
9327     1476 2627 M (\(it is the RSSV\). Constant d)[14 10 12 24 10 20 24 12 23 23 24 30 28 28 28 14 12 24 24 30 23 23 20 12 23 23 12 24 0]xS
9328     F5S1B Ji
9329     2073 2633 M (i)S
9330     F0S2A Ji
9331     2080 2627 M (=T)[25 0]xS
9332     F5S1B Ji
9333     2131 2633 M (i)S
9334     F0S2A Ji
9335     2138 2627 M (-C)[14 0]xS
9336     F5S1B Ji
9337     2182 2633 M (i)S
9338     F0S2A Ji
9339     2189 2627 M ( is the)[24 10 20 24 12 23 0]xS
9340     1275 2677 M (deadline for waiting. Event start)[23 23 23 23 10 10 23 23 14 13 23 14 14 29 23 10 12 10 23 23 12 15 15 28 23 23 23 12 15 20 12 23
9341     14 0]xS
9342     F5S1B Ji
9343     1888 2683 M (i)S
9344     F0S2A Ji
9345     1895 2677 M ( represents the start of)[15 14 23 23 14 23 20 23 23 12 20 15 12 23 23 15 20 12 23 14 12 15 23 0]xS
9346     1275 2727 M (the interrupt service routine ISR)[12 23 23 13 10 23 12 23 14 14 23 23 12 13 20 23 14 23 10 21 23 13 14 23 23 12 10 23 23 13 12 28
9347     0]xS
9348     F5S1B Ji
9349     1871 2733 M (i)S
9350     F0S2A Ji
9351     1878 2727 M (. The initial vertex is A)[12 14 14 26 23 23 14 10 23 10 12 10 23 10 14 23 23 14 12 23 22 14 10 20 14 0]xS
9352     F0S1B Ji
9353     2319 2733 M (i)S
9354     F0S2A Ji
9355     1275 2776 M (and is indicated by arrow ->.)[23 23 23 12 10 20 12 10 23 23 10 21 23 12 23 23 12 23 21 12 23 14 14 23 29 12 12 14 25 0]xS
9356     1275 2875 M (The ISRs are modeled by EHM)[26 23 23 12 12 28 30 20 12 23 14 23 12 36 23 23 23 10 23 23 12 23 21 12 28 30 0]xS
9357     F5S1B Ji
9358     1855 2881 M (3)S
9359     F0S2A Ji
9360     1869 2875 M (, shown in Figure )[12 12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
9361     2199 2875 M (12)[23 0]xS
9362     2245 2875 M (.)S
9363     LH
9364     (%%[Page: 13]%%) =
9365     %%PageTrailer
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9374    
9375     0 0 0 1 scol 1185 3158 M (1)S
9376     1208 3158 M (4)S
9377     F5S23 Ji
9378     423 301 M ( )S
9379     431 301 M (t)S
9380     440 301 M <92>S
9381     451 301 M (=)S
9382     471 301 M (1)S
9383     423 336 M ( )S
9384     431 336 M ([)S
9385     443 336 M (t)S
9386     451 336 M (<)S
9387     471 336 M (C)S
9388     F5S14 Ji
9389     494 345 M (1)S
9390     F5S23 Ji
9391     505 336 M (])S
9392     412 1109 M ( )S
9393     420 1109 M (t)S
9394     429 1109 M <92>S
9395     440 1109 M (=)S
9396     460 1109 M (1)S
9397     412 1144 M ( )S
9398     420 1144 M ([)S
9399     431 1144 M (t)S
9400     440 1144 M (<)S
9401     460 1144 M (C)S
9402     F5S14 Ji
9403     482 1153 M (2)S
9404     F5S23 Ji
9405     494 1144 M (])S
9406     0 Lj 2 Lc 2 Lw : 317 117 338 343 rc N 596 163 M 374 163 I 374 400 I 596 400 I C
9407     : 2.832 2.914 +S K
9408     ; ; N 437 565 M 368 565 I 368 633 I 437 633 I C
9409     : 2.832 2.914 +S K
9410     ; : 375 572 9 34 rc 375 598 M ( )S
9411     ; : 383 572 25 34 rc 383 598 M (X)S
9412     ; N 428 971 M 363 971 I 363 1036 I 428 1036 I C
9413     : 2.832 2.914 +S K
9414     ; : 369 978 9 34 rc 369 1004 M ( )S
9415     ; : 378 978 21 34 rc 378 1004 M (Z)S
9416     ; : 317 117 179 171 rc N 437 166 M 374 166 I 374 228 I 437 228 I C
9417     : 2.832 2.914 +S K
9418     ; ; : 380 172 9 35 rc 380 199 M ( )S
9419     ; : 389 172 25 35 rc 389 199 M (Y)S
9420     ; N 590 562 M 368 562 I 368 800 I 590 800 I C
9421     : 2.832 2.914 +S K
9422     ; 525 499 M ( )S
9423     533 499 M ([)S
9424     545 499 M (A)S
9425     F5S14 Ji
9426     567 508 M (1)S
9427     F5S23 Ji
9428     579 499 M (=)S
9429     599 499 M (1)S
9430     616 499 M (])S
9431     627 499 M ( )S
9432     635 499 M (-)S
9433     647 499 M (>)S
9434     667 499 M ( )S
9435     675 499 M (s)S
9436     689 499 M (t)S
9437     698 499 M (a)S
9438     712 499 M (r)S
9439     723 499 M (t)S
9440     F5S14 Ji
9441     732 508 M (1)S
9442     F5S23 Ji
9443     743 499 M (,)S
9444     754 499 M ( )S
9445     763 499 M (t)S
9446     771 499 M (=)S
9447     791 499 M (0)S
9448     528 908 M ([)S
9449     539 908 M (A)S
9450     F5S14 Ji
9451     562 916 M (1)S
9452     F5S23 Ji
9453     573 908 M (=)S
9454     593 908 M (0)S
9455     /F4S23 F4 [35.008 0 0 -35.008 0 0 ] mFS
9456     F4S23 Ji
9457     610 908 M <D9>S
9458     F5S23 Ji
9459     630 908 M ( )S
9460     638 908 M (A)S
9461     F5S14 Ji
9462     661 916 M (2)S
9463     F5S23 Ji
9464     672 908 M (=)S
9465     692 908 M (1)S
9466     709 908 M (])S
9467     720 908 M ( )S
9468     729 908 M (-)S
9469     740 908 M (>)S
9470     760 908 M ( )S
9471     769 908 M (s)S
9472     783 908 M (t)S
9473     791 908 M (a)S
9474     805 908 M (r)S
9475     817 908 M (t)S
9476     F5S14 Ji
9477     825 916 M (2)S
9478     F5S23 Ji
9479     837 908 M (,)S
9480     848 908 M ( )S
9481     857 908 M (t)S
9482     865 908 M (=)S
9483     885 908 M (0)S
9484     321 902 M ( )S
9485     329 902 M ([)S
9486     341 902 M (t)S
9487     349 902 M (>)S
9488     369 902 M (C)S
9489     F5S14 Ji
9490     392 911 M (2)S
9491     F5S23 Ji
9492     403 902 M (])S
9493     1 Lw N 525 560 M 525 409 I : 2.832 2.914 +S K
9494     ; N 519 412 M 531 412 I 525 400 I 519 412 I C
9495     O N 519 412 M 531 412 I : 2.832 2.914 +S K
9496     ; N 531 412 M 525 400 I : 2.832 2.914 +S K
9497     ; N 525 400 M 519 412 I : 2.832 2.914 +S K
9498     ; 2 Lw : 306 913 337 336 rc N 584 971 M 363 971 I 363 1208 I 584 1208 I C
9499     : 2.832 2.914 +S K
9500     ; ; 1 Lw N 437 960 M 437 808 I : 2.832 2.914 +S K
9501     ; N 431 811 M 443 811 I 437 800 I 431 811 I C
9502     O N 431 811 M 443 811 I : 2.832 2.914 +S K
9503     ; N 443 811 M 437 800 I : 2.832 2.914 +S K
9504     ; N 437 800 M 431 811 I : 2.832 2.914 +S K
9505     ; N 522 806 M 522 957 I : 2.832 2.914 +S K
9506     ; N 528 957 M 516 957 I 522 966 I 528 957 I C
9507     O N 528 957 M 516 957 I : 2.832 2.914 +S K
9508     ; N 516 957 M 522 966 I : 2.832 2.914 +S K
9509     ; N 522 966 M 528 957 I : 2.832 2.914 +S K
9510     ; N 443 400 M 443 552 I : 2.832 2.914 +S K
9511     ; N 448 552 M 437 552 I 443 560 I 448 552 I C
9512     O N 448 552 M 437 552 I : 2.832 2.914 +S K
9513     ; N 437 552 M 443 560 I : 2.832 2.914 +S K
9514     ; N 443 560 M 448 552 I : 2.832 2.914 +S K
9515     ; 318 496 M ( )S
9516     327 496 M ([)S
9517     338 496 M (t)S
9518     346 496 M (>)S
9519     366 496 M (C)S
9520     F5S14 Ji
9521     389 505 M (1)S
9522     F5S23 Ji
9523     400 496 M (])S
9524     : 267 649 131 75 rc N 301 686 M 361 686 I : 2.832 2.914 +S K
9525     ; ; N 361 680 M 361 692 I 369 686 I 361 680 I C
9526     O N 361 680 M 361 692 I : 2.832 2.914 +S K
9527     ; N 361 692 M 369 686 I : 2.832 2.914 +S K
9528     ; N 369 686 M 361 680 I : 2.832 2.914 +S K
9529     ; F1S2A Ji
9530     441 1339 M (Figure )[26 12 26 26 16 23 0]xS
9531     582 1339 M (12)[23 0]xS
9532     628 1339 M (. EHM)[12 12 28 30 0]xS
9533     F5S1B Ji
9534     745 1345 M (3)S
9535     F0S2A Ji
9536     75 1438 M (EHM)[28 30 0]xS
9537     F0S1B Ji
9538     168 1444 M (3)S
9539     F0S2A Ji
9540     183 1438 M (, representing the SS, has three vertices as)[12 31 14 23 23 14 23 20 23 23 12 10 23 23 32 12 23 23 32 28 28 12 32 23 23 20 32 12 23 14 23 23
9541     32 23 23 14 12 10 21 23 20 32 23 0]xS
9542     75 1486 M (follows.)[13 23 10 10 23 29 20 0]xS
9543     225 1584 M (X: ready to execute interrupt service routines;)[27 12 12 14 23 23 23 21 12 12 23 12 23 22 23 21 23 12 23 12 10 23 12 23 14 14 23 23 12 12 20 23
9544     14 23 10 21 23 12 14 23 23 12 10 23 23 20 0]xS
9545     225 1633 M (Y: e)[28 12 12 0]xS
9546     300 1633 M (xecuting ISR)[22 23 21 23 12 10 23 23 12 12 28 0]xS
9547     F5S1B Ji
9548     539 1639 M (1)S
9549     F0S2A Ji
9550     553 1633 M (; and)[12 12 23 23 0]xS
9551     225 1683 M (Z: executing ISR)[26 12 12 23 22 23 21 23 12 10 23 23 12 12 28 0]xS
9552     F5S1B Ji
9553     537 1689 M (2)S
9554     F0S2A Ji
9555     551 1683 M (.)S
9556     75 1783 M (The parallel composition EHM)[26 23 23 33 23 23 14 23 10 10 23 10 33 21 23 36 23 23 20 10 12 10 23 23 33 28 30 0]xS
9557     F5S1B Ji
9558     699 1789 M (1)S
9559     F0S2A Ji
9560     713 1783 M (||EHM)[11 11 28 30 0]xS
9561     F5S1B Ji
9562     828 1789 M (2)S
9563     F0S2A Ji
9564     842 1783 M ( is shown in)[34 10 20 34 20 23 23 29 23 34 10 0]xS
9565     75 1833 M (Figure )[26 10 23 23 14 23 0]xS
9566     216 1833 M (13)[23 0]xS
9567     262 1833 M (, where only four configurations A)[12 22 29 23 23 14 23 22 23 23 10 21 23 13 23 23 14 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20
9568     23 0]xS
9569     F5S1B Ji
9570     938 1839 M (1)S
9571     F0S2A Ji
9572     952 1833 M (A)S
9573     F5S1B Ji
9574     980 1839 M (2)S
9575     F0S2A Ji
9576     994 1833 M (, A)[12 23 0]xS
9577     F5S1B Ji
9578     1057 1839 M (1)S
9579     F0S2A Ji
9580     1071 1833 M (B)S
9581     F5S1B Ji
9582     1099 1839 M (2)S
9583     F0S2A Ji
9584     1113 1833 M (,)S
9585     75 1883 M (B)S
9586     F5S1B Ji
9587     103 1889 M (1)S
9588     F0S2A Ji
9589     117 1883 M (A)S
9590     F5S1B Ji
9591     145 1889 M (2)S
9592     F0S2A Ji
9593     159 1883 M (, and B)[12 14 23 23 23 14 0]xS
9594     F5S1B Ji
9595     296 1889 M (1)S
9596     F0S2A Ji
9597     310 1883 M (B)S
9598     F5S1B Ji
9599     338 1889 M (2)S
9600     F0S2A Ji
9601     352 1883 M ( are legal. In the figure, we do not show)[15 23 14 23 15 10 23 23 23 10 12 15 15 12 23 15 12 23 23 15 13 10 23 23 14 23 12 15 29 23 15 23
9602     23 15 23 23 12 15 20 23 23 0]xS
9603     75 1932 M (the transitions between illegal configurations because)[12 23 23 24 12 14 23 23 20 10 12 10 23 23 20 24 23 23 12 29 23 23 23 24 10 10 10 23 23 23 10 24
9604     21 23 23 13 10 23 23 14 23 12 10 23 23 20 24 23 23 21 23 23 20 0]xS
9605     75 1980 M (they are not important. In fact, all the illegal)[12 23 23 21 42 23 14 23 42 23 23 12 42 10 36 23 23 14 12 23 23 12 12 42 12 23 42 13 23 21 12 12
9606     43 23 10 10 43 12 23 23 43 10 10 10 23 23 23 0]xS
9607     75 2028 M (configurations can be combined into one.)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 21 23 23 12 23 23 12 21 23 36 23 10 23 23 23 12 10
9608     23 12 23 12 23 23 23 0]xS
9609     : 1458 774 23 34 rc /F5S23 F5 [35.012 0 0 -35.012 0 0 ] mFS
9610     F5S23 Ji
9611     1458 800 M (B)S
9612     ; F5S14 Ji
9613     1481 809 M (1)S
9614     : 1492 774 23 34 rc F5S23 Ji
9615     1492 800 M (C)S
9616     ; 1515 809 M (2)S
9617     : 1705 175 23 35 rc F5S23 Ji
9618     1705 202 M (C)S
9619     ; 1727 210 M (1)S
9620     : 1739 175 25 35 rc F5S23 Ji
9621     1739 202 M (A)S
9622     ; 1761 210 M (2)S
9623     : 1447 175 9 35 rc F5S23 Ji
9624     1447 202 M ( )S
9625     ; : 1455 175 23 35 rc F5S23 Ji
9626     1455 202 M (C)S
9627     ; 1478 210 M (1)S
9628     : 1489 175 23 35 rc F5S23 Ji
9629     1489 202 M (C)S
9630     ; 1512 210 M (2)S
9631     : 1458 479 25 34 rc F5S23 Ji
9632     1458 505 M (A)S
9633     ; 1481 514 M (1)S
9634     : 1492 479 23 34 rc F5S23 Ji
9635     1492 505 M (C)S
9636     ; 1515 514 M (2)S
9637     : 1968 175 23 35 rc F5S23 Ji
9638     1968 202 M (C)S
9639     ; 1991 210 M (1)S
9640     : 2002 175 23 35 rc F5S23 Ji
9641     2002 202 M (B)S
9642     ; 2025 210 M (2)S
9643     : 1710 479 25 34 rc F5S23 Ji
9644     1710 505 M (A)S
9645     ; 1733 514 M (1)S
9646     : 1744 479 25 34 rc F5S23 Ji
9647     1744 505 M (A)S
9648     ; 1767 514 M (2)S
9649     : 1705 771 23 34 rc F5S23 Ji
9650     1705 797 M (B)S
9651     ; 1727 806 M (1)S
9652     : 1739 771 25 34 rc F5S23 Ji
9653     1739 797 M (A)S
9654     ; 1761 806 M (2)S
9655     : 1965 476 25 34 rc F5S23 Ji
9656     1965 502 M (A)S
9657     ; 1988 511 M (1)S
9658     : 1999 476 23 34 rc F5S23 Ji
9659     1999 502 M (B)S
9660     ; 2022 511 M (2)S
9661     : 1965 768 23 34 rc F5S23 Ji
9662     1965 794 M (B)S
9663     ; 1988 803 M (1)S
9664     : 1999 768 23 34 rc F5S23 Ji
9665     1999 794 M (B)S
9666     ; 2022 803 M (2)S
9667     : 1750 315 12 35 rc F5S23 Ji
9668     1750 342 M ([)S
9669     ; : 1761 315 10 35 rc F5S23 Ji
9670     1761 342 M (t)S
9671     ; 1770 350 M (1)S
9672     : 1781 315 20 35 rc F5S23 Ji
9673     1781 342 M (>)S
9674     ; : 1801 315 18 35 rc F5S23 Ji
9675     1801 342 M (d)S
9676     ; 1818 350 M (1)S
9677     : 1829 315 12 35 rc F5S23 Ji
9678     1829 342 M (])S
9679     ; : 2016 318 12 35 rc F5S23 Ji
9680     2016 345 M ([)S
9681     ; : 2028 318 10 35 rc F5S23 Ji
9682     2028 345 M (t)S
9683     ; 2036 353 M (1)S
9684     : 2048 318 20 35 rc F5S23 Ji
9685     2048 345 M (>)S
9686     ; : 2067 318 18 35 rc F5S23 Ji
9687     2067 345 M (d)S
9688     ; 2084 353 M (1)S
9689     : 2096 318 12 35 rc F5S23 Ji
9690     2096 345 M (])S
9691     ; : 1574 444 12 34 rc F5S23 Ji
9692     1574 470 M ([)S
9693     ; : 1585 444 10 34 rc F5S23 Ji
9694     1585 470 M (t)S
9695     ; 1594 479 M (2)S
9696     : 1605 444 20 34 rc F5S23 Ji
9697     1605 470 M (>)S
9698     ; : 1625 444 18 34 rc F5S23 Ji
9699     1625 470 M (d)S
9700     ; 1642 479 M (2)S
9701     : 1654 444 12 34 rc F5S23 Ji
9702     1654 470 M (])S
9703     ; : 1770 625 12 34 rc F5S23 Ji
9704     1770 651 M ([)S
9705     ; : 1781 625 10 34 rc F5S23 Ji
9706     1781 651 M (t)S
9707     ; 1790 660 M (1)S
9708     : 1801 625 20 34 rc F5S23 Ji
9709     1801 651 M (>)S
9710     ; : 1821 625 21 34 rc F5S23 Ji
9711     1821 651 M (T)S
9712     ; 1841 660 M (1)S
9713     : 1852 625 12 34 rc F5S23 Ji
9714     1852 651 M (])S
9715     ; : 1571 741 12 35 rc F5S23 Ji
9716     1571 768 M ([)S
9717     ; : 1583 741 10 35 rc F5S23 Ji
9718     1583 768 M (t)S
9719     ; 1591 776 M (2)S
9720     : 1602 741 20 35 rc F5S23 Ji
9721     1602 768 M (>)S
9722     ; : 1622 741 18 35 rc F5S23 Ji
9723     1622 768 M (d)S
9724     ; 1639 776 M (2)S
9725     : 1651 741 12 35 rc F5S23 Ji
9726     1651 768 M (])S
9727     ; : 1835 814 12 35 rc F5S23 Ji
9728     1835 841 M ([)S
9729     ; : 1846 814 10 35 rc F5S23 Ji
9730     1846 841 M (t)S
9731     ; 1855 849 M (2)S
9732     : 1866 814 20 35 rc F5S23 Ji
9733     1866 841 M (>)S
9734     ; : 1886 814 21 35 rc F5S23 Ji
9735     1886 841 M (T)S
9736     ; 1906 849 M (2)S
9737     : 1917 814 12 35 rc F5S23 Ji
9738     1917 841 M (])S
9739     ; : 1637 628 14 34 rc F5S23 Ji
9740     1637 654 M (s)S
9741     ; : 1651 628 10 34 rc F5S23 Ji
9742     1651 654 M (t)S
9743     ; : 1659 628 16 34 rc F5S23 Ji
9744     1659 654 M (a)S
9745     ; : 1673 628 12 34 rc F5S23 Ji
9746     1673 654 M (r)S
9747     ; : 1685 628 10 34 rc F5S23 Ji
9748     1685 654 M (t)S
9749     ; 1693 663 M (1)S
9750     N 1637 657 M 1693 657 I 1693 660 I 1637 660 I 1637 657 I C
9751     O : 1912 625 14 34 rc F5S23 Ji
9752     1912 651 M (s)S
9753     ; : 1926 625 10 34 rc F5S23 Ji
9754     1926 651 M (t)S
9755     ; : 1934 625 16 34 rc F5S23 Ji
9756     1934 651 M (a)S
9757     ; : 1948 625 12 34 rc F5S23 Ji
9758     1948 651 M (r)S
9759     ; : 1960 625 10 34 rc F5S23 Ji
9760     1960 651 M (t)S
9761     ; 1968 660 M (1)S
9762     N 1912 654 M 1968 654 I 1968 657 I 1912 657 I 1912 654 I C
9763     O : 1838 730 14 34 rc F5S23 Ji
9764     1838 756 M (s)S
9765     ; : 1852 730 10 34 rc F5S23 Ji
9766     1852 756 M (t)S
9767     ; : 1860 730 16 34 rc F5S23 Ji
9768     1860 756 M (a)S
9769     ; : 1875 730 12 34 rc F5S23 Ji
9770     1875 756 M (r)S
9771     ; : 1886 730 10 34 rc F5S23 Ji
9772     1886 756 M (t)S
9773     ; 1895 765 M (2)S
9774     N 1838 759 M 1895 759 I 1895 762 I 1838 762 I 1838 759 I C
9775     O : 1835 432 9 34 rc F5S23 Ji
9776     1835 458 M ( )S
9777     ; : 1843 432 14 34 rc F5S23 Ji
9778     1843 458 M (s)S
9779     ; : 1858 432 10 34 rc F5S23 Ji
9780     1858 458 M (t)S
9781     ; : 1866 432 16 34 rc F5S23 Ji
9782     1866 458 M (a)S
9783     ; : 1880 432 12 34 rc F5S23 Ji
9784     1880 458 M (r)S
9785     ; : 1892 432 10 34 rc F5S23 Ji
9786     1892 458 M (t)S
9787     ; 1900 467 M (2)S
9788     N 1835 461 M 1900 461 I 1900 464 I 1835 464 I 1835 461 I C
9789     O : 2036 628 12 34 rc F5S23 Ji
9790     2036 654 M ([)S
9791     ; : 2048 628 10 34 rc F5S23 Ji
9792     2048 654 M (t)S
9793     ; 2056 663 M (1)S
9794     : 2067 628 20 34 rc F5S23 Ji
9795     2067 654 M (>)S
9796     ; : 2087 628 21 34 rc F5S23 Ji
9797     2087 654 M (T)S
9798     ; 2107 663 M (1)S
9799     : 2118 628 12 34 rc F5S23 Ji
9800     2118 654 M (])S
9801     ; : 1832 526 12 34 rc F5S23 Ji
9802     1832 552 M ([)S
9803     ; : 1843 526 10 34 rc F5S23 Ji
9804     1843 552 M (t)S
9805     ; 1852 561 M (2)S
9806     : 1863 526 20 34 rc F5S23 Ji
9807     1863 552 M (>)S
9808     ; : 1883 526 21 34 rc F5S23 Ji
9809     1883 552 M (T)S
9810     ; 1903 561 M (2)S
9811     : 1914 526 12 34 rc F5S23 Ji
9812     1914 552 M (])S
9813     ; 2 Lw : 1421 402 186 198 rc N 1548 460 M 1443 460 I 1443 540 I 1548 540 I C
9814     : 2.832 2.914 +S K
9815     ; ; N 1801 460 M 1695 460 I 1695 540 I 1801 540 I C
9816     : 2.832 2.914 +S K
9817     ; N 2062 458 M 1956 458 I 1956 537 I 2062 537 I C
9818     : 2.832 2.914 +S K
9819     ; 1 Lw N 1693 496 M 1557 496 I : 2.832 2.914 +S K
9820     ; N 1560 502 M 1560 491 I 1549 496 I 1560 502 I C
9821     O N 1560 502 M 1560 491 I : 2.832 2.914 +S K
9822     ; N 1560 491 M 1549 496 I : 2.832 2.914 +S K
9823     ; N 1549 496 M 1560 502 I : 2.832 2.914 +S K
9824     ; N 1807 482 M 1943 482 I : 2.832 2.914 +S K
9825     ; N 1943 476 M 1943 488 I 1951 482 I 1943 476 I C
9826     O N 1943 476 M 1943 488 I : 2.832 2.914 +S K
9827     ; N 1943 488 M 1951 482 I : 2.832 2.914 +S K
9828     ; N 1951 482 M 1943 476 I : 2.832 2.914 +S K
9829     ; N 1951 517 M 1815 517 I : 2.832 2.914 +S K
9830     ; N 1818 523 M 1818 511 I 1807 517 I 1818 523 I C
9831     O N 1818 523 M 1818 511 I : 2.832 2.914 +S K
9832     ; N 1818 511 M 1807 517 I : 2.832 2.914 +S K
9833     ; N 1807 517 M 1818 523 I : 2.832 2.914 +S K
9834     ; 2 Lw : 1421 697 184 198 rc N 1546 755 M 1440 755 I 1440 835 I 1546 835 I C
9835     : 2.832 2.914 +S K
9836     ; ; N 1798 755 M 1692 755 I 1692 835 I 1798 835 I C
9837     : 2.832 2.914 +S K
9838     ; N 2059 752 M 1953 752 I 1953 832 I 2059 832 I C
9839     : 2.832 2.914 +S K
9840     ; 1 Lw N 1690 791 M 1554 791 I : 2.832 2.914 +S K
9841     ; N 1557 797 M 1557 785 I 1546 791 I 1557 797 I C
9842     O N 1557 797 M 1557 785 I : 2.832 2.914 +S K
9843     ; N 1557 785 M 1546 791 I : 2.832 2.914 +S K
9844     ; N 1546 791 M 1557 797 I : 2.832 2.914 +S K
9845     ; N 1804 776 M 1940 776 I : 2.832 2.914 +S K
9846     ; N 1940 771 M 1940 782 I 1948 776 I 1940 771 I C
9847     O N 1940 771 M 1940 782 I : 2.832 2.914 +S K
9848     ; N 1940 782 M 1948 776 I : 2.832 2.914 +S K
9849     ; N 1948 776 M 1940 771 I : 2.832 2.914 +S K
9850     ; N 1948 811 M 1812 811 I : 2.832 2.914 +S K
9851     ; N 1815 817 M 1815 806 I 1804 811 I 1815 817 I C
9852     O N 1815 817 M 1815 806 I : 2.832 2.914 +S K
9853     ; N 1815 806 M 1804 811 I : 2.832 2.914 +S K
9854     ; N 1804 811 M 1815 817 I : 2.832 2.914 +S K
9855     ; N 1719 540 M 1719 744 I : 2.832 2.914 +S K
9856     ; N 1724 744 M 1713 744 I 1719 753 I 1724 744 I C
9857     O N 1724 744 M 1713 744 I : 2.832 2.914 +S K
9858     ; N 1713 744 M 1719 753 I : 2.832 2.914 +S K
9859     ; N 1719 753 M 1724 744 I : 2.832 2.914 +S K
9860     ; N 1764 753 M 1764 549 I : 2.832 2.914 +S K
9861     ; N 1758 552 M 1770 552 I 1764 540 I 1758 552 I C
9862     O N 1758 552 M 1770 552 I : 2.832 2.914 +S K
9863     ; N 1770 552 M 1764 540 I : 2.832 2.914 +S K
9864     ; N 1764 540 M 1758 552 I : 2.832 2.914 +S K
9865     ; N 2028 753 M 2028 549 I : 2.832 2.914 +S K
9866     ; N 2022 552 M 2033 552 I 2028 540 I 2022 552 I C
9867     O N 2022 552 M 2033 552 I : 2.832 2.914 +S K
9868     ; N 2033 552 M 2028 540 I : 2.832 2.914 +S K
9869     ; N 2028 540 M 2022 552 I : 2.832 2.914 +S K
9870     ; N 1988 537 M 1988 741 I : 2.832 2.914 +S K
9871     ; N 1994 741 M 1982 741 I 1988 750 I 1994 741 I C
9872     O N 1994 741 M 1982 741 I : 2.832 2.914 +S K
9873     ; N 1982 741 M 1988 750 I : 2.832 2.914 +S K
9874     ; N 1988 750 M 1994 741 I : 2.832 2.914 +S K
9875     ; N 1744 453 M 1744 248 I : 2.832 2.914 +S K
9876     ; N 1739 251 M 1750 251 I 1744 240 I 1739 251 I C
9877     O N 1739 251 M 1750 251 I : 2.832 2.914 +S K
9878     ; N 1750 251 M 1744 240 I : 2.832 2.914 +S K
9879     ; N 1744 240 M 1739 251 I : 2.832 2.914 +S K
9880     ; N 2011 453 M 2011 248 I : 2.832 2.914 +S K
9881     ; N 2005 251 M 2016 251 I 2011 240 I 2005 251 I C
9882     O N 2005 251 M 2016 251 I : 2.832 2.914 +S K
9883     ; N 2016 251 M 2011 240 I : 2.832 2.914 +S K
9884     ; N 2011 240 M 2005 251 I : 2.832 2.914 +S K
9885     ; 2 Lw : 1421 117 186 180 rc N 1548 157 M 1443 157 I 1443 237 I 1548 237 I C
9886     : 2.832 2.914 +S K
9887     ; ; : 1638 117 222 180 rc N 1801 157 M 1695 157 I 1695 237 I 1801 237 I C
9888     : 2.832 2.914 +S K
9889     ; ; : 1899 117 222 177 rc N 2062 154 M 1956 154 I 1956 234 I 2062 234 I C
9890     : 2.832 2.914 +S K
9891     ; ; F1S2A Ji
9892     1575 1024 M (Figure )[26 12 26 26 16 23 0]xS
9893     1716 1024 M (13)[23 0]xS
9894     1762 1024 M (. EHM)[12 12 28 30 0]xS
9895     F5S1B Ji
9896     1879 1030 M (i )[7 0]xS
9897     F1S2A Ji
9898     1893 1024 M (||EHM)[12 12 28 30 0]xS
9899     F5S1B Ji
9900     2010 1030 M (2)S
9901     F0S2A Ji
9902     1275 1123 M (The overall system is modeled by)[26 23 23 12 23 23 23 14 23 10 10 12 20 21 20 12 23 36 12 10 20 12 36 23 23 23 10 23 23 12 23 0]xS
9903     1425 1222 M (CHM=EHM)[30 30 35 25 28 30 0]xS
9904     F5S1B Ji
9905     1638 1228 M (1)S
9906     F0S2A Ji
9907     1652 1222 M (||EHM)[11 11 28 30 0]xS
9908     F5S1B Ji
9909     1767 1228 M (2)S
9910     F0S2A Ji
9911     1781 1222 M (||EHM)[11 11 28 30 0]xS
9912     F5S1B Ji
9913     1896 1228 M (3)S
9914     F0S2A Ji
9915     1275 1321 M (which can be constructed similarly.)[29 23 10 21 23 12 21 23 23 12 23 23 12 21 23 23 20 12 14 23 21 12 23 23 12 20 10 36 10 10 23 14
9916     10 21 0]xS
9917     1275 1469 M (Using our algorithm, we can determine if the illegal)[30 20 10 23 23 25 23 23 14 25 23 10 23 23 14 10 12 23 36 12 25 29 23 25 21 23 23 25 23 23 12 23
9918     14 36 10 23 23 25 10 13 26 12 23 23 26 10 10 10 23 23 23 0]xS
9919     1275 1517 M (configurations in the CHM are reachable from the initial)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 10 23 14 12 23 23 15 30 30 35 15 23 14 23 15 14 23
9920     23 21 23 23 23 10 23 15 13 14 23 36 15 12 23 23 15 10 23 10 12 10 23 0]xS
9921     1275 1565 M (configuration. This, of course, depends on the values of)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 26 23 10 20 12 12 23 13 13 21 23 23 14 20 23 12
9922     13 23 23 23 23 23 23 20 13 23 23 13 12 23 23 13 23 23 10 23 23 20 13 23 0]xS
9923     1275 1613 M (T)S
9924     F0S1B Ji
9925     1301 1619 M (i)S
9926     F0S2A Ji
9927     1307 1613 M ( and C)[12 23 23 23 12 0]xS
9928     F0S1B Ji
9929     1430 1619 M (i)S
9930     F0S2A Ji
9931     1436 1613 M (. The following cases have been verified.)[12 12 26 23 23 12 13 23 10 10 23 29 10 23 23 12 21 23 20 23 20 12 23 23 23 23 12 23 23 23 23 12
9932     23 23 14 10 13 10 23 23 0]xS
9933     F2S2A Ji
9934     1275 1711 M (Case 1)[30 23 21 23 18 0]xS
9935     F0S2A Ji
9936     1413 1711 M (: T)[12 18 0]xS
9937     F0S1B Ji
9938     1469 1717 M (1)S
9939     F0S2A Ji
9940     1484 1711 M (=5, T)[25 23 12 18 0]xS
9941     F0S1B Ji
9942     1588 1717 M (2)S
9943     F0S2A Ji
9944     1603 1711 M (=4, C)[25 23 12 18 0]xS
9945     F0S1B Ji
9946     1711 1717 M (1)S
9947     F0S2A Ji
9948     1726 1711 M (=3, C)[25 23 12 19 0]xS
9949     F0S1B Ji
9950     1835 1717 M (2)S
9951     F0S2A Ji
9952     1850 1711 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
9953     : N 1275 1715 137 3 rp C
9954     L ; 1275 1760 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
9955     23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
9956     1275 1808 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
9957     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
9958     1275 1856 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
9959     F2S2A Ji
9960     1275 1954 M (Case 2)[30 23 21 23 18 0]xS
9961     F0S2A Ji
9962     1413 1954 M (: T)[12 18 0]xS
9963     F0S1B Ji
9964     1469 1960 M (1)S
9965     F0S2A Ji
9966     1484 1954 M (=8, T)[25 23 12 18 0]xS
9967     F0S1B Ji
9968     1588 1960 M (2)S
9969     F0S2A Ji
9970     1603 1954 M (=3, C)[25 23 12 18 0]xS
9971     F0S1B Ji
9972     1711 1960 M (1)S
9973     F0S2A Ji
9974     1726 1954 M (=5, C)[25 23 12 19 0]xS
9975     F0S1B Ji
9976     1835 1960 M (2)S
9977     F0S2A Ji
9978     1850 1954 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
9979     : N 1275 1958 137 3 rp C
9980     L ; 1275 2003 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
9981     23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
9982     1275 2051 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
9983     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
9984     1275 2099 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
9985     F2S2A Ji
9986     1275 2197 M (Case 3)[30 23 21 23 18 0]xS
9987     F0S2A Ji
9988     1413 2197 M (: T)[12 18 0]xS
9989     F0S1B Ji
9990     1469 2203 M (1)S
9991     F0S2A Ji
9992     1484 2197 M (=5, T)[25 23 12 18 0]xS
9993     F0S1B Ji
9994     1588 2203 M (2)S
9995     F0S2A Ji
9996     1603 2197 M (=8, C)[25 23 12 18 0]xS
9997     F0S1B Ji
9998     1711 2203 M (1)S
9999     F0S2A Ji
10000     1726 2197 M (=1, C)[25 23 12 19 0]xS
10001     F0S1B Ji
10002     1835 2203 M (2)S
10003     F0S2A Ji
10004     1850 2197 M (=1. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
10005     : N 1275 2201 137 3 rp C
10006     L ; 1275 2246 M (that the illegal configurations are not reachable from the)[12 23 23 12 13 12 23 23 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23 20 13
10007     23 14 23 13 23 23 12 14 14 23 23 21 23 23 23 10 23 14 13 14 23 36 14 12 23 0]xS
10008     1275 2294 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10009     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10010     1275 2342 M (requirement is not violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 23 12 12 23 10 23 10 23 12 23 23 0]xS
10011     F2S2A Ji
10012     1275 2440 M (Case 4)[30 23 21 23 16 0]xS
10013     F0S2A Ji
10014     1411 2440 M (: T)[12 16 0]xS
10015     F0S1B Ji
10016     1465 2446 M (1)S
10017     F0S2A Ji
10018     1480 2440 M (=17, T)[25 23 23 12 16 0]xS
10019     F0S1B Ji
10020     1605 2446 M (2)S
10021     F0S2A Ji
10022     1620 2440 M (=4, C)[25 23 12 16 0]xS
10023     F0S1B Ji
10024     1726 2446 M (1)S
10025     F0S2A Ji
10026     1741 2440 M (=3, C)[25 23 12 16 0]xS
10027     F0S1B Ji
10028     1847 2446 M (2)S
10029     F0S2A Ji
10030     1862 2440 M (=1. In this case, we find)[25 23 12 16 12 23 16 12 23 10 20 17 21 23 20 23 12 17 29 23 17 13 10 23 0]xS
10031     : N 1275 2444 135 3 rp C
10032     L ; 1275 2489 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
10033     23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
10034     1275 2537 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10035     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10036     1275 2585 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
10037     F2S2A Ji
10038     1275 2683 M (Case 5)[30 23 21 23 18 0]xS
10039     F0S2A Ji
10040     1413 2683 M (: T)[12 18 0]xS
10041     F0S1B Ji
10042     1469 2689 M (1)S
10043     F0S2A Ji
10044     1484 2683 M (=5, T)[25 23 12 18 0]xS
10045     F0S1B Ji
10046     1588 2689 M (2)S
10047     F0S2A Ji
10048     1603 2683 M (=6, C)[25 23 12 18 0]xS
10049     F0S1B Ji
10050     1711 2689 M (1)S
10051     F0S2A Ji
10052     1726 2683 M (=3, C)[25 23 12 19 0]xS
10053     F0S1B Ji
10054     1835 2689 M (2)S
10055     F0S2A Ji
10056     1850 2683 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
10057     : N 1275 2687 137 3 rp C
10058     L ; 1275 2732 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
10059     23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
10060     1275 2780 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10061     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10062     1275 2828 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
10063     F2S2A Ji
10064     1275 2926 M (Case 6)[30 23 21 23 14 0]xS
10065     F0S2A Ji
10066     1409 2926 M (: T)[12 14 0]xS
10067     F0S1B Ji
10068     1461 2932 M (1)S
10069     F0S2A Ji
10070     1476 2926 M (=80, T)[25 23 23 12 14 0]xS
10071     F0S1B Ji
10072     1599 2932 M (2)S
10073     F0S2A Ji
10074     1614 2926 M (=40, C)[25 23 23 12 14 0]xS
10075     F0S1B Ji
10076     1741 2932 M (1)S
10077     F0S2A Ji
10078     1756 2926 M (=3, C)[25 23 12 14 0]xS
10079     F0S1B Ji
10080     1860 2932 M (2)S
10081     F0S2A Ji
10082     1875 2926 M (=2. In this case, we find)[25 23 12 14 12 23 14 12 23 10 20 14 21 23 20 23 12 14 29 23 14 13 10 23 0]xS
10083     : N 1275 2930 133 3 rp C
10084     L ; 1275 2975 M (that the illegal configurations are not reachable from the)[12 23 23 12 13 12 23 23 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23 20 13
10085     23 14 23 13 23 23 12 14 14 23 23 21 23 23 23 10 23 14 13 14 23 36 14 12 23 0]xS
10086     LH
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10088     %%PageTrailer
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10097    
10098     0 0 0 1 scol 1185 3158 M (1)S
10099     1208 3158 M (5)S
10100     75 156 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10101     12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10102     75 204 M (requirement is not violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 23 12 12 23 10 23 10 23 12 23 23 0]xS
10103     F1S2A Ji
10104     75 353 M (SOFTWARE IMPLEMENTATION OF ALGORITHM)[28 33 26 27 39 29 30 28 12 12 35 28 26 28 35 28 30 27 29 27 12 33 30 12 33 26 12 29 26 33 33 30
10105     12 27 30 0]xS
10106     F0S2A Ji
10107     75 452 M (For a practical microprocessor system, determining)[26 23 14 31 23 31 23 14 23 21 12 10 21 23 10 32 36 10 21 14 23 23 14 23 21 23 20 20 23 14 32 20
10108     21 20 12 23 36 12 32 23 23 12 23 14 36 10 23 10 23 0]xS
10109     75 500 M (interrupt latency compatibility using the hybrid system)[10 23 12 23 14 14 23 23 12 21 10 23 12 23 23 21 21 21 21 23 36 23 23 12 10 23 10 10 10 12 21 21
10110     23 20 10 23 23 21 12 23 23 21 23 21 23 14 10 23 21 20 21 20 12 23 0]xS
10111     75 548 M (algorithm presented here requires a computer solution.)[23 10 23 23 14 10 12 23 36 17 23 14 23 20 23 23 12 23 23 17 23 23 14 23 17 14 23 23 23 10 14 23
10112     20 18 23 18 21 23 36 23 23 12 23 14 18 20 23 10 23 12 10 23 23 0]xS
10113     75 596 M (The upper bound on the number of CHM configurations)[26 23 23 14 23 23 23 23 14 15 23 23 23 23 23 15 23 23 15 12 23 23 15 23 23 36 23 23 14 15 23 13
10114     15 30 30 35 15 21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
10115     75 644 M (for which a manual determination of reachability is)[13 23 14 28 29 23 10 21 23 28 23 28 36 23 23 23 23 10 28 23 23 12 23 14 36 10 23 23 12 10 23 23
10116     29 23 13 29 14 23 23 21 23 23 23 10 10 10 12 21 29 10 0]xS
10117     75 692 M (practical is on the order of 20. In contrast, the practical)[23 14 23 21 12 10 21 23 10 14 10 20 14 23 23 14 12 23 23 14 23 14 23 23 14 14 23 13 14 23 23 12
10118     14 15 12 23 15 21 23 23 12 14 23 20 12 12 15 12 23 23 15 23 14 23 21 12 10 21 23 0]xS
10119     75 740 M (microprocessor systems we have encountered would)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 26 20 21 20 12 23 36 20 26 29 23 26 23 23 23 23 26 23
10120     23 21 23 23 23 12 23 14 23 23 26 29 23 23 10 0]xS
10121     75 788 M (generate CHMs with on the order of 40,000 to 100,000)[23 23 23 23 14 23 12 23 16 30 30 35 20 16 29 10 12 23 16 23 23 16 12 23 23 16 23 14 23 23 14 17
10122     23 13 17 23 23 12 23 23 23 17 12 23 17 23 23 23 12 23 23 0]xS
10123     75 836 M (configurations. Reachability algorithms cannot be)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 36 36 30 23 23 21 23 23 23 10 10 10 12 21 37 23 10
10124     23 23 14 10 12 23 36 20 37 21 23 23 23 23 12 37 23 0]xS
10125     75 884 M (applied to such systems by hand.)[23 23 23 10 10 23 23 12 12 23 12 20 23 21 23 12 20 21 20 12 23 36 20 12 23 21 12 23 23 23 23 0]xS
10126     75 982 M (A fair number of problems can be embedded in the)[28 23 13 23 10 14 23 23 23 36 23 23 14 23 23 13 23 23 14 23 23 10 23 36 20 23 21 23 23 24 23 23
10127     24 23 36 23 23 23 23 23 23 24 10 23 24 12 23 0]xS
10128     75 1030 M (hybrid system framework, including a classic steam)[23 21 23 14 10 23 28 20 21 20 12 23 36 28 13 14 23 36 23 29 23 14 21 12 28 10 23 21 10 23 23 10
10129     23 23 28 23 28 21 10 23 20 20 10 21 28 20 12 23 23 0]xS
10130     75 1078 M (boiler problem [)[23 23 10 10 23 14 12 23 14 23 23 10 23 36 12 0]xS
10131     366 1078 M (2)S
10132     389 1078 M (]. It has been our experience that most)[12 12 13 13 12 12 13 23 23 20 13 23 23 23 23 13 23 23 14 13 23 22 23 23 14 10 23 23 21 23 13 12
10133     23 23 12 13 36 23 20 0]xS
10134     75 1126 M (problems which are amenable to modeling using a)[23 14 23 23 10 23 36 20 28 29 23 10 21 23 28 23 14 23 28 23 36 23 23 23 23 10 23 29 12 23 29 36
10135     23 23 23 10 10 23 23 29 23 20 10 23 23 29 0]xS
10136     75 1174 M (hybrid system framework involve either software alone)[23 21 23 14 10 23 18 20 21 20 12 23 36 18 13 14 23 36 23 29 23 14 21 18 10 23 23 23 10 23 23 18
10137     23 10 12 23 23 14 18 20 23 13 12 29 23 14 23 19 23 10 23 23 0]xS
10138     75 1222 M (or software in control of a physical plant. We feel that)[23 14 16 20 23 13 12 29 23 14 23 16 10 23 16 21 23 23 12 14 23 10 16 23 13 16 23 16 23 23 21 20
10139     10 21 23 10 16 23 10 23 23 12 12 17 17 42 23 17 13 23 23 10 17 12 23 23 0]xS
10140     75 1270 M (the number of problems which require analysis using a)[12 23 23 16 23 23 36 23 23 14 16 23 13 17 23 14 23 23 10 23 36 20 17 29 23 10 21 23 17 14 23 23
10141     23 10 14 23 17 23 23 23 10 21 20 10 20 17 23 20 10 23 23 17 0]xS
10142     75 1318 M (hybrid system framework is adequate to spawn the)[23 21 23 14 10 23 27 20 21 20 12 23 36 27 13 14 23 36 23 29 23 14 21 28 10 20 28 23 23 23 23 23
10143     23 12 23 28 12 23 28 20 23 23 29 23 28 12 23 0]xS
10144     75 1366 M (commercial development of computer tools. We also)[21 23 36 36 23 14 21 10 23 10 19 23 23 23 23 10 23 23 36 23 23 12 20 23 13 20 21 23 36 23 23 12
10145     23 14 20 12 23 23 10 20 12 20 20 42 23 20 23 10 20 0]xS
10146     75 1414 M (feel that the number of such problems is growing, due to)[13 23 23 10 12 12 23 23 12 12 12 23 23 12 23 23 36 23 23 14 12 23 13 12 20 23 21 23 13 23 14 23
10147     23 10 23 36 20 13 10 20 13 23 14 23 29 10 23 23 12 13 23 23 23 13 12 0]xS
10148     75 1462 M (the proliferation of computer-controlled systems. As of)[12 23 23 16 23 14 23 10 10 13 23 14 23 12 10 23 23 16 23 13 16 21 23 36 23 23 12 23 14 14 21 23
10149     23 12 14 23 10 10 23 23 17 20 21 20 12 23 36 20 12 17 17 28 20 17 23 0]xS
10150     75 1510 M (this writing, we are aware of three companies engaged)[12 23 10 20 16 29 14 10 12 10 23 23 12 16 29 23 17 23 14 23 17 23 29 23 14 23 17 23 13 17 12 23
10151     14 23 23 17 21 23 36 23 23 23 10 23 20 17 23 23 23 23 23 23 0]xS
10152     75 1558 M (in the for-profit development of computer tools for the)[10 23 18 12 23 23 19 13 23 14 14 23 14 23 13 10 12 19 23 23 23 23 10 23 23 36 23 23 12 19 23 13
10153     19 21 23 36 23 23 12 23 14 19 12 23 23 10 20 19 13 23 14 19 12 23 0]xS
10154     75 1606 M (analysis of hybrid systems.)[23 23 23 10 21 20 10 20 12 23 13 12 23 21 23 14 10 23 12 20 21 20 12 23 36 20 0]xS
10155     F1S2A Ji
10156     75 1755 M (ACKNOWLEDGMENTS)[29 30 30 30 33 39 26 28 30 33 35 28 30 27 0]xS
10157     F0S2A Ji
10158     75 1854 M (We would like to gratefully acknowledge the support of)[42 23 16 29 23 23 10 23 16 10 10 21 23 16 12 23 16 23 14 23 12 23 13 23 10 10 21 17 23 21 21 23
10159     23 29 10 23 23 23 23 17 12 23 23 17 20 23 23 23 23 14 12 17 23 0]xS
10160     75 1902 M (the management team at Visteon \(Dan Presidio, Dave)[12 23 23 18 36 23 23 23 23 23 36 23 23 12 18 12 23 23 36 18 23 12 18 28 10 20 12 23 23 23 18 14
10161     30 23 23 18 28 14 23 20 10 23 10 23 12 19 30 23 23 0]xS
10162     75 1950 M (Patterson, Chuck Minear, Dave Avery, Marian)[28 23 12 12 23 14 20 23 23 12 50 30 23 23 21 21 51 35 10 23 23 23 14 12 51 30 23 23 23 51 28 23
10163     23 14 21 12 51 35 23 14 10 23 0]xS
10164     75 1998 M (Mahoney, Joe DeVoe, and Nick Sarafopoulos\), whose)[35 23 23 23 23 23 21 12 20 21 23 23 20 30 23 28 23 23 12 20 23 23 23 20 30 10 21 21 20 28 23 14
10165     23 13 23 23 23 23 10 23 20 14 12 20 29 23 23 20 0]xS
10166     75 2046 M (quest for product excellence led to the funding of this)[23 23 23 20 12 19 13 23 14 19 23 14 23 23 23 21 12 19 23 22 21 23 10 10 23 23 21 23 19 10 23 23
10167     19 12 23 19 12 23 23 19 13 23 23 23 10 23 23 20 23 13 20 12 23 10 0]xS
10168     75 2094 M (effort and the freedom to pursue a solution to this)[23 13 13 23 14 12 26 23 23 23 27 12 23 23 27 13 14 23 23 23 23 36 27 12 23 27 23 23 14 20 23 23
10169     27 23 27 20 23 10 23 12 10 23 23 27 12 23 27 12 23 10 0]xS
10170     75 2142 M (problem in the workplace. We also gratefully)[23 14 23 23 10 23 36 42 10 23 42 12 23 23 42 29 23 14 21 23 10 23 21 23 12 42 42 42 23 42 23 10
10171     20 23 43 23 14 23 12 23 13 23 10 10 0]xS
10172     75 2190 M (acknowledge the support of the technical professionals)[23 21 21 23 23 29 10 23 23 23 23 17 12 23 23 18 20 23 23 23 23 14 12 18 23 13 18 12 23 23 18 12
10173     23 21 23 23 10 21 23 10 18 23 14 23 13 23 20 20 10 23 23 23 10 0]xS
10174     75 2238 M (at Visteon who shared with us their expertise and)[23 12 29 28 10 20 12 23 23 23 29 29 23 23 29 20 23 23 14 23 23 30 29 10 12 23 30 23 20 30 12 23
10175     23 10 14 30 23 22 23 23 14 12 10 20 23 30 23 23 0]xS
10176     75 2286 M (exhaustive insight into this problem and the constraints)[23 22 23 23 23 20 12 10 23 23 16 10 23 20 10 23 23 12 16 10 23 12 23 16 12 23 10 20 16 23 14 23
10177     23 10 23 36 16 23 23 23 17 12 23 23 17 21 23 23 20 12 14 23 10 23 12 0]xS
10178     75 2334 M (on the solution; especially Joao Silva, Kevin Tiedje, Bob)[23 23 12 12 23 23 12 20 23 10 23 12 10 23 23 12 13 23 20 23 23 21 10 23 10 10 21 13 21 23 23 23
10179     13 28 10 10 23 23 12 13 28 23 23 10 23 13 26 10 23 23 10 23 12 13 28 23 0]xS
10180     75 2382 M (Crawford, and Karl Overberg.)[30 14 23 29 13 23 14 23 12 12 23 23 23 12 28 23 14 10 12 33 23 23 14 23 23 14 23 0]xS
10181     F1S2A Ji
10182     75 2579 M (CONTACT)[30 33 30 27 29 30 0]xS
10183     F0S2A Ji
10184     75 2678 M (For further information, please contact Dr. Feng Lin,)[26 23 14 23 13 23 14 12 23 23 14 24 10 23 13 23 14 36 23 12 10 23 23 12 24 23 10 23 23 20 23 24
10185     21 23 23 12 23 21 12 24 30 14 12 24 26 23 23 23 24 23 10 23 0]xS
10186     75 2726 M (Department of Electrical and Computer Engineering,)[30 23 23 23 14 12 36 23 23 12 27 23 13 27 28 10 23 21 12 14 10 21 23 10 27 23 23 23 27 30 23 36
10187     23 23 12 23 14 27 28 23 23 10 23 23 23 14 10 23 23 0]xS
10188     75 2774 M (Wayne State University, Detroit, MI 48202, Tel: \(313\))[42 23 21 23 23 20 28 12 23 12 23 20 30 23 10 23 23 14 20 10 12 21 12 20 30 23 12 14 23 10 12 12
10189     21 35 12 21 23 23 23 23 23 12 21 26 23 10 12 21 14 23 23 23 0]xS
10190     75 2822 M (577-3428, Fax: \(313\) 577-1101, email: flin@ece.eng.)[23 23 23 14 23 23 23 23 12 24 26 23 22 12 24 14 23 23 23 14 25 23 23 23 14 23 23 23 23 12 25 23
10191     36 23 10 10 12 25 13 10 10 23 43 23 21 23 12 23 23 23 0]xS
10192     75 2870 M (wayne.edu, home page: www.ece.eng.wayne.edu/~flin.)[29 23 21 23 23 12 23 23 23 12 12 23 23 36 23 12 23 23 23 23 12 12 29 29 29 12 23 21 23 12 23 23
10193     23 12 29 23 21 23 23 12 23 23 23 12 25 13 10 10 23 0]xS
10194     F1S2A Ji
10195     1275 157 M (REFERENCES)[30 28 26 28 30 28 30 30 28 0]xS
10196     F0S2A Ji
10197     1275 251 M (1)S
10198     1298 251 M (.)S
10199     1350 251 M (Audsley, Neil C.; Burns, Alan; Davis, Robert I.;)[28 23 23 20 10 23 21 12 27 30 23 10 10 27 30 12 12 27 28 23 14 23 20 12 28 28 10 23 23 12 28 30
10200     23 23 10 20 12 28 30 23 23 23 14 12 28 12 12 0]xS
10201     1350 293 M (Tindell, Ken W.; Wellings, Andy J.. Fixed Priority)[26 10 23 23 23 10 10 12 21 28 23 23 21 42 12 12 21 42 23 10 10 10 23 23 20 12 21 28 23 23 21 21
10202     21 12 12 22 26 10 22 23 23 22 28 14 10 23 14 10 12 0]xS
10203     1350 335 M (Pre-emptive Scheduling: An Historical Perspective.)[28 14 23 14 23 36 23 12 10 23 23 17 28 21 23 23 23 23 10 10 23 23 12 18 28 23 18 30 10 20 12 23
10204     14 10 21 23 10 18 28 23 14 20 23 23 21 12 10 23 23 0]xS
10205     1350 377 M (Real-Time )[30 23 23 10 14 26 10 36 23 0]xS
10206     F2S2A Ji
10207     1567 377 M (Systems v )[28 21 21 12 23 35 21 22 21 0]xS
10208     F0S2A Ji
10209     1793 377 M (8 n 2-3 Mar-May 1995 pp.)[23 22 23 22 23 14 23 22 35 23 14 14 35 23 21 22 23 23 23 23 23 23 23 0]xS
10210     1350 419 M (173-198.)[23 23 23 14 23 23 23 0]xS
10211     1275 486 M (2)S
10212     1298 486 M (.)S
10213     1350 486 M (M. Heymann, F. Lin and G. Meyer, 1997. Control)[35 12 18 30 23 21 36 23 23 23 12 18 26 12 18 23 10 23 18 23 23 23 18 33 12 18 35 23 21 23 14 12
10214     18 23 23 23 23 12 18 18 30 23 23 12 14 23 0]xS
10215     1350 528 M (Synthesis For A Class Of Hybrid Systems Subject)[28 21 23 12 23 23 20 10 20 19 26 23 14 19 28 19 30 10 23 20 20 19 33 13 19 30 21 23 14 10 23 19
10216     28 21 20 12 23 36 20 20 28 23 23 10 23 21 0]xS
10217     1350 570 M (To Configuration-Based Safety Constraints. NASA)[26 23 17 30 23 23 13 10 23 23 14 23 12 10 23 23 14 28 23 20 23 23 18 28 23 13 23 12 21 18 30 23
10218     23 20 12 14 23 10 23 12 20 12 18 18 30 28 28 0]xS
10219     1350 612 M (Technical Memorandum )[26 23 21 23 23 10 21 23 10 12 35 23 36 23 14 23 23 23 23 36 0]xS
10220     F2S2A Ji
10221     1813 612 M (112196.)[23 23 23 23 23 23 0]xS
10222     F0S2A Ji
10223     1275 679 M (3)S
10224     1298 679 M (.)S
10225     1350 679 M (Park, Dong-Won; Natarajan, Swaminathan;)[28 23 14 21 12 68 30 23 23 23 14 42 23 23 12 69 30 23 12 23 14 23 10 23 23 12 69 28 29 23 36 10
10226     23 23 12 23 23 23 0]xS
10227     1350 721 M (Kanevsky, Arkady. Fixed-priority Scheduling Of)[28 23 23 23 23 20 21 21 12 28 28 14 21 23 23 21 12 28 28 26 10 22 23 23 14 23 14 10 23 14 10 12
10228     21 28 28 21 23 23 23 23 10 10 23 23 29 33 0]xS
10229     1350 763 M (Real-time Systems Using Utilization Bounds.)[30 23 23 10 14 12 10 36 23 48 28 21 20 12 23 36 20 48 30 20 10 23 23 48 30 12 10 10 10 21 23 12
10230     10 23 23 48 28 23 23 23 23 20 0]xS
10231     1350 805 M (Journal )[21 23 23 14 23 23 10 0]xS
10232     F2S2A Ji
10233     1500 805 M (of Systems and )[23 12 13 28 21 21 12 23 35 21 13 23 23 23 0]xS
10234     F0S2A Ji
10235     1804 805 M (Software v 33 n 1 Apr 1996)[28 23 13 12 29 23 14 23 14 23 14 23 23 14 23 14 23 14 28 23 14 14 23 23 23 0]xS
10236     1350 847 M (pp. 57-63.)[23 23 12 12 23 23 14 23 23 0]xS
10237     1275 914 M (4)S
10238     1298 914 M (.)S
10239     1350 914 M (Park, Dong-Won; Natarajan, S.; Kanevsky, Arkady;)[28 23 14 21 12 16 30 23 23 23 14 42 23 23 12 16 30 23 12 23 14 23 10 23 23 12 17 28 12 12 17 28
10240     23 23 23 23 20 21 21 12 17 28 14 21 23 23 21 0]xS
10241     1350 956 M (Kim, Myung Jun. Generalized Utilization Bound)[28 10 36 12 25 35 21 23 23 23 26 21 23 23 12 26 26 33 23 23 23 14 23 10 10 21 23 23 26 30 12 10
10242     10 10 21 23 12 10 23 23 26 28 23 23 23 0]xS
10243     1350 998 M (Test For Fixed-Priority Real-Time Scheduling)[26 23 20 12 44 26 23 14 45 26 10 22 23 23 14 28 14 10 23 14 10 12 21 45 30 23 23 10 14 26 10 36
10244     23 45 28 21 23 23 23 23 10 10 23 0]xS
10245     1350 1040 M (Proceedings )[28 14 23 21 23 23 23 10 23 23 20 0]xS
10246     F2S2A Ji
10247     1632 1040 M (of the 1995 )[23 12 52 12 23 23 52 23 23 23 23 0]xS
10248     F0S2A Ji
10249     1973 1040 M (2nd International)[23 23 23 52 12 23 12 23 14 23 23 12 10 23 23 23 0]xS
10250     F2S2A Ji
10251     1350 1082 M (Workshop )[40 23 14 21 21 23 23 23 0]xS
10252     F0S2A Ji
10253     1560 1082 M (on Real-Time Computing )[23 23 22 30 23 23 10 14 26 10 36 23 23 30 23 36 23 23 12 10 23 23 0]xS
10254     F2S2A Ji
10255     2072 1082 M (Systems and)[28 21 21 12 23 35 21 23 23 23 0]xS
10256     1350 1124 M (Applications )[28 23 23 9 9 21 23 12 9 23 23 21 0]xS
10257     F0S2A Ji
10258     1586 1124 M (Oct 25-27 1995 Tokyo Japan pp. 73-77.)[33 21 12 12 23 23 14 23 23 12 23 23 23 23 12 26 23 21 21 23 12 21 23 23 23 23 12 23 23 12 12 23
10259     23 14 23 23 0]xS
10260     1275 1191 M (5)S
10261     1298 1191 M (.)S
10262     1350 1191 M (Liu, C.L.; Layland, James W. Scheduling)[23 10 23 12 46 30 12 23 12 12 46 23 23 21 10 23 23 23 12 46 21 23 36 23 20 46 42 12 46 46 28 21
10263     23 23 23 23 10 10 23 0]xS
10264     1350 1233 M (Algorithms for Multiprogramming In A Hard Real-)[28 10 23 23 14 10 12 23 36 20 22 13 23 14 22 35 23 10 12 10 23 14 23 23 14 23 36 36 10 23 23 22
10265     12 23 23 28 23 30 23 14 23 23 30 23 23 10 0]xS
10266     1350 1275 M (Time Environment. Journal Of The ACM, v 20 n 1,)[26 10 36 23 14 28 23 23 10 14 23 23 36 23 23 12 12 14 14 21 23 23 14 23 23 10 14 33 13 14 26 23
10267     23 14 28 30 35 12 14 23 15 23 23 15 23 15 23 0]xS
10268     1350 1317 M (January 1973, pp. 46-61.)[21 23 23 23 23 14 21 12 23 23 23 23 12 12 23 23 12 12 23 23 14 23 23 0]xS
10269     1275 1384 M (6)S
10270     1298 1384 M (.)S
10271     1350 1384 M (M. Heymann, F. Lin, and G. Meyer, \223Synthesis And)[35 12 15 30 23 21 36 23 23 23 12 15 26 12 15 23 10 23 12 15 23 23 23 15 33 12 15 35 23 21 23 14
10272     12 15 14 28 21 23 12 23 23 20 10 20 16 28 23 0]xS
10273     1350 1426 M (Viability Of Minimally Interventive Legal Controllers)[28 10 23 23 10 10 10 12 21 15 33 13 16 35 10 23 10 36 23 10 10 21 16 12 23 12 23 14 23 23 23 12
10274     10 23 23 16 23 23 23 23 10 16 30 23 23 12 14 23 10 10 23 14 0]xS
10275     1350 1468 M (For Hybrid Systems\224, Discrete Event Dynamic)[26 23 14 35 30 21 23 14 10 23 36 28 21 20 12 23 36 20 14 12 36 30 10 20 21 14 23 12 23 36 28 23
10276     23 23 12 36 30 21 23 23 36 10 0]xS
10277     1350 1510 M (Systems: Theory and Applications, 8\(2\), pp. 105-)[28 21 20 12 23 36 20 12 19 20 26 23 23 23 14 21 20 23 23 23 20 28 23 23 10 10 21 23 12 10 23 23
10278     20 12 20 23 14 23 14 12 20 23 23 12 20 23 23 23 0]xS
10279     1350 1552 M (135.)[23 23 23 0]xS
10280     F1S2A Ji
10281     1275 1725 M (DEFINITIONS/ACRONYMS/ABBREVIATIONS)[30 28 26 12 30 12 27 12 33 30 28 12 29 30 30 33 30 28 35 28 12 29 30 30 30 28 28 12 29 27 12 33
10282     30 0]xS
10283     F0S2A Ji
10284     1275 1824 M (AIL)[28 12 0]xS
10285     1350 1872 M (Allowable interrupt latency, the maximum delay)[28 10 10 23 29 23 23 10 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 12 12 23 23
10286     12 36 23 22 10 36 23 36 12 23 23 10 23 0]xS
10287     1350 1920 M (\(without ill effects\) between the assertion of an)[14 29 10 12 23 23 23 12 12 10 10 10 12 23 13 13 23 21 12 20 14 12 23 23 12 29 23 23 23 12 12 23
10288     23 12 23 20 20 23 14 12 10 23 23 12 23 13 12 23 0]xS
10289     1350 1968 M (interrupt in hardware and the start of execution of)[10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 14 23 29 23 14 23 12 23 23 23 12 12 23 23 12 20 12
10290     23 14 12 12 23 13 12 23 22 23 21 23 12 10 23 23 12 23 0]xS
10291     1350 2016 M (the associated interrupt service routine.)[12 23 23 12 23 20 20 23 21 10 23 12 23 23 12 10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23
10292     12 14 23 23 12 10 23 23 0]xS
10293     1275 2112 M (CHM)[30 30 0]xS
10294     1350 2160 M (Composite hybrid machine, a )[30 23 36 23 23 20 10 12 23 12 23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 12 23 0]xS
10295     1906 2160 M (collection of)[21 23 10 10 23 21 12 10 23 23 12 23 0]xS
10296     1350 2208 M (configurations and transitions formed by performing)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 23 23 12 12 14 23 23 20 10 12 10 23 23 20 12 13
10297     23 14 36 23 23 12 23 21 12 23 23 14 13 23 14 36 10 23 0]xS
10298     1350 2256 M (a parallel composition of several EHMs. Note that a)[23 12 23 23 14 23 10 10 23 10 12 21 23 36 23 23 20 10 12 10 23 23 12 23 13 12 20 23 23 23 14 23
10299     10 12 28 30 35 20 12 12 12 30 23 12 23 12 12 23 23 12 12 0]xS
10300     1350 2304 M (CHM is structurally identical to an EHM \(form of)[30 30 35 12 10 20 12 20 12 14 23 21 12 23 14 23 10 10 21 12 10 23 23 23 12 10 21 23 10 12 12 23
10301     12 23 23 12 28 30 35 12 14 13 23 14 36 12 23 0]xS
10302     1350 2352 M (configurations and transitions\), but a CHM will)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 23 23 12 12 14 23 23 20 10 12 10 23 23 20 14 12
10303     12 23 23 12 12 23 12 30 30 35 12 29 10 10 0]xS
10304     1350 2400 M (contain many more configurations than an EHM.)[21 23 23 12 23 10 23 12 36 23 23 21 12 36 23 14 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20
10305     12 12 23 23 23 12 23 23 12 28 30 35 0]xS
10306     1275 2496 M (Configuration)[30 23 23 13 10 23 23 14 23 12 10 23 0]xS
10307     1350 2544 M (The discrete part of the state vector of an EHM or)[26 23 23 12 23 10 20 21 14 23 12 23 12 23 23 14 12 12 23 13 12 12 23 23 12 20 12 23 12 23 12 23
10308     23 21 12 23 14 12 23 13 12 23 23 12 28 30 35 12 23 0]xS
10309     1350 2592 M (CHM. In our drawings, configurations are shown as)[30 30 35 12 12 12 12 23 12 23 23 14 12 23 14 23 29 10 23 23 20 12 12 21 23 23 13 10 23 23 14 23
10310     12 10 23 23 20 12 23 14 23 12 20 23 23 29 23 12 23 0]xS
10311     1350 2640 M (rectangles and are linked together by transitions.)[14 23 21 12 23 23 23 10 23 20 12 23 23 23 12 23 14 23 12 10 10 23 21 23 23 12 12 23 23 23 12 23
10312     23 14 12 23 21 12 12 14 23 23 20 10 12 10 23 23 20 0]xS
10313     1350 2688 M (Because an EHM or CHM also contains continuous)[28 23 21 23 23 20 23 12 23 23 12 28 30 35 12 23 14 12 30 30 35 12 23 10 20 23 12 21 23 23 12 23
10314     10 23 20 12 21 23 23 12 10 23 23 23 23 0]xS
10315     1350 2736 M (state variables, the state vector of an EHM or CHM)[20 12 23 12 23 12 23 23 14 10 23 23 10 23 20 12 12 12 23 23 12 20 12 23 12 23 12 23 23 21 12 23
10316     14 12 23 13 12 23 23 12 28 30 35 12 23 14 12 30 30 0]xS
10317     1350 2784 M (is hybrid. We use configuration to refer to the)[10 20 12 23 21 23 14 10 23 12 12 12 42 23 12 23 20 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23
10318     12 12 23 12 14 23 13 23 14 12 12 23 12 12 23 0]xS
10319     1350 2832 M (discrete part only.)[23 10 20 21 14 23 12 23 12 23 23 14 12 12 23 23 10 21 0]xS
10320     1275 2928 M (CS)[30 0]xS
10321     1350 2976 M (Critical section, a sequence of machine instructions)[30 14 10 12 10 21 23 10 12 20 23 21 12 10 23 23 12 12 23 12 20 23 23 23 23 23 21 23 12 23 13 12
10322     36 23 21 23 10 23 23 12 10 23 20 12 14 23 21 12 10 23 23 0]xS
10323     1350 3024 M (executed with hardware interrupts disabled. Critical)[23 22 23 21 23 12 23 23 12 29 10 12 23 12 23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12
10324     20 12 23 10 20 23 23 10 23 23 12 12 12 30 14 10 12 10 21 23 0]xS
10325     LH
10326     (%%[Page: 15]%%) =
10327     %%PageTrailer
10328    
10329     %%Page: 16 16
10330     %%PageBoundingBox: 18 8 593 784
10331     %%EndPageComments
10332     %%BeginPageSetup
10333     /DeviceRGB dup setcolorspace /colspABC exch def
10334     mysetup concat colspRefresh
10335     %%EndPageSetup
10336    
10337     0 0 0 1 scol 1185 3158 M (1)S
10338     1208 3158 M (6)S
10339     150 156 M (sections are commonly used to properly share)[20 23 21 12 10 23 23 20 12 23 14 23 12 21 23 36 36 23 23 10 21 12 23 20 23 23 12 12 23 12 23 14
10340     23 23 23 14 10 21 12 20 23 23 14 0]xS
10341     150 204 M (resources \(data structures, hardware\) between ISR)[14 23 20 23 23 14 21 23 20 12 14 23 23 12 23 12 20 12 14 23 21 12 23 14 23 20 12 12 23 23 14 23
10342     29 23 14 23 14 12 23 23 12 29 23 23 23 12 12 28 0]xS
10343     150 252 M (and non-ISR software components, or to guarantee)[23 23 23 12 23 23 23 14 12 28 30 12 20 23 13 12 29 23 14 23 12 21 23 36 23 23 23 23 23 12 20 12
10344     12 23 14 12 12 23 12 23 23 23 14 23 23 12 23 0]xS
10345     150 300 M (reliable timing of a sequence of instructions. Critical)[14 23 10 10 23 23 10 23 12 12 10 36 10 23 23 12 23 13 12 23 12 20 23 23 23 23 23 21 23 12 23 13
10346     12 10 23 20 12 14 23 21 12 10 23 23 20 12 12 12 30 14 10 12 10 21 23 0]xS
10347     150 348 M (sections are relevant to the interrupt latency)[20 23 21 12 10 23 23 20 12 23 14 23 12 14 23 10 23 23 23 23 12 12 12 23 12 12 23 23 12 10 23 12
10348     23 14 14 23 23 12 12 10 23 12 23 23 21 0]xS
10349     150 396 M (compatibility problem because they may delay the)[21 23 36 23 23 12 10 23 10 10 10 12 21 12 23 14 23 23 10 23 36 12 23 23 21 23 23 20 23 12 12 23
10350     23 21 12 36 23 21 12 23 23 10 23 21 12 12 23 0]xS
10351     150 444 M (start of an ISR.)[20 12 23 14 12 12 23 13 12 23 23 12 12 28 30 0]xS
10352     75 540 M (EHM)[28 30 0]xS
10353     150 588 M (Elementary hybrid machine, a collection of)[28 10 23 36 23 23 12 23 14 21 12 23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 12 23 12 21 23 10
10354     10 23 21 12 10 23 23 12 23 0]xS
10355     150 636 M (configurations, dynamics, and transitions.)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 12 23 21 23 23 36 10 21 20 12 12 23 23 23 12 12 14
10356     23 23 20 10 12 10 23 23 20 0]xS
10357     75 732 M (ILC)[12 23 0]xS
10358     150 780 M (Illegal configuration, a configuration in an EHM)[12 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 23 12 21 23 23 13 10 23 23
10359     14 23 12 10 23 23 12 10 23 12 23 23 12 28 30 0]xS
10360     150 828 M (which is deemed arbitrarily undesirable.)[29 23 10 21 23 12 10 20 12 23 23 23 36 23 23 12 23 14 23 10 12 14 23 14 10 10 21 12 23 23 23 23
10361     20 10 14 23 23 10 23 0]xS
10362     75 924 M (IS)[12 0]xS
10363     150 972 M (Interrupt source, a hardware peripheral which can)[12 23 12 23 14 14 23 23 12 12 20 23 23 14 21 23 12 12 23 12 23 23 14 23 29 23 14 23 12 23 23 14
10364     10 23 23 23 14 23 10 12 29 23 10 21 23 12 21 23 0]xS
10365     150 1020 M (generate a hardware interrupt, such as a timer or a)[23 23 23 23 14 23 12 23 12 23 12 23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12 12 12 20
10366     23 21 23 12 23 20 12 23 12 12 10 36 23 14 12 23 14 12 0]xS
10367     150 1068 M (communication peripheral.)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 0]xS
10368     75 1164 M (ISR)[12 28 0]xS
10369     150 1212 M (Interrupt service routine, a software component)[12 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 12 12 23 12 20 23 13
10370     12 29 23 14 23 12 21 23 36 23 23 23 23 23 0]xS
10371     150 1260 M (which is executed in response to a hardware)[29 23 10 21 23 12 10 20 12 23 22 23 21 23 12 23 23 12 10 23 12 14 23 20 23 23 23 20 23 12 12 23
10372     12 23 12 23 23 14 23 29 23 14 0]xS
10373     150 1308 M (interrupt.)[10 23 12 23 14 14 23 23 12 0]xS
10374     75 1404 M (OE)[33 0]xS
10375     150 1452 M (Output event, an event generated by an EHM. An)[33 23 12 23 23 12 12 23 23 23 23 12 12 12 23 23 12 23 23 23 23 12 12 23 23 23 23 14 23 12 23 23
10376     12 23 21 12 23 23 12 28 30 35 12 12 12 28 0]xS
10377     150 1500 M (output event of one EHM may be an input of)[23 23 12 23 23 12 12 23 23 23 23 12 12 23 13 12 23 23 23 12 28 30 35 12 36 23 21 12 23 23 12 23
10378     23 12 10 23 23 23 12 12 23 0]xS
10379     150 1548 M (another EHM.)[23 23 23 12 23 23 14 12 28 30 35 0]xS
10380     75 1644 M (RMA)[30 35 0]xS
10381     150 1692 M (Rate-monotonic analysis, a body of mathematical)[30 23 12 23 14 36 23 23 23 12 23 23 10 21 12 23 23 23 10 21 20 10 20 12 12 23 12 23 23 23 21 12
10382     23 13 12 36 23 12 23 23 36 23 12 10 21 23 0]xS
10383     150 1740 M (results derived from a paradigm involving software)[14 23 20 23 10 12 20 12 23 23 14 10 23 23 23 12 13 14 23 36 12 23 12 23 23 14 23 23 10 23 36 12
10384     10 23 23 23 10 23 10 23 23 12 20 23 13 12 29 23 14 0]xS
10385     150 1788 M (processes with a constant rate of execution and a)[23 14 23 21 23 20 20 23 20 12 29 10 12 23 12 23 12 21 23 23 20 12 23 23 12 12 14 23 12 23 12 23
10386     13 12 23 22 23 21 23 12 10 23 23 12 23 23 23 12 0]xS
10387     150 1836 M (constant execution time.)[21 23 23 20 12 23 23 12 12 23 22 23 21 23 12 10 23 23 12 12 10 36 23 0]xS
10388     75 1932 M (RSSV)[30 28 28 0]xS
10389     150 1980 M (Requesting service shared variable, a sha)[30 23 23 23 23 20 12 10 23 23 12 20 23 14 23 10 21 23 12 20 23 23 14 23 23 12 23 23 14 10 23 23
10390     10 23 12 12 23 12 20 23 0]xS
10391     930 1980 M (red)[14 23 0]xS
10392     150 2028 M (continuous variable used by an interrupt source)[21 23 23 12 10 23 23 23 23 20 12 23 23 14 10 23 23 10 23 12 23 20 23 23 12 23 21 12 23 23 12 10
10393     23 12 23 14 14 23 23 12 12 20 23 23 14 21 0]xS
10394     150 2076 M (EHM to indicate to the SS EHM that service is)[28 30 35 12 12 23 12 10 23 23 10 21 23 12 23 12 12 23 12 12 23 23 12 28 28 12 28 30 35 12 12 23
10395     23 12 12 20 23 14 23 10 21 23 12 10 0]xS
10396     150 2124 M (requested.)[14 23 23 23 23 20 12 23 23 0]xS
10397     75 2220 M (RTPI)[30 26 28 0]xS
10398     150 2268 M (Ready to process interrupts, a single configuration in)[30 23 23 23 21 12 12 23 12 23 14 23 21 23 20 20 12 10 23 12 23 14 14 23 23 12 20 12 12 23 12 20
10399     10 23 23 10 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 10 0]xS
10400     150 2316 M (our model of a software system, during which the)[23 23 14 12 36 23 23 23 10 12 23 13 12 23 12 20 23 13 12 29 23 14 23 12 20 21 20 12 23 36 12 12
10401     23 23 14 10 23 23 12 29 23 10 21 23 12 12 23 0]xS
10402     150 2364 M (software is free to process interrupts by executing)[20 23 13 12 29 23 14 23 12 10 20 12 13 14 23 23 12 12 23 12 23 14 23 21 23 20 20 12 10 23 12 23
10403     14 14 23 23 12 20 12 23 21 12 23 22 23 21 23 12 10 23 0]xS
10404     150 2412 M (an ISR.)[23 23 12 12 28 30 0]xS
10405     75 2508 M (SS)[28 0]xS
10406     150 2556 M (Software system, the EHM model of the software)[28 23 13 12 29 23 14 23 12 20 21 20 12 23 36 12 12 12 23 23 12 28 30 35 12 36 23 23 23 10 12 23
10407     13 12 12 23 23 12 20 23 13 12 29 23 14 0]xS
10408     150 2604 M (system including ISRs and CSs.)[20 21 20 12 23 36 12 10 23 21 10 23 23 10 23 23 12 12 28 30 20 12 23 23 23 12 30 28 20 0]xS
10409     75 2700 M (SV)[28 0]xS
10410     150 2748 M (Shared variable, a continuous variable which is)[28 23 23 14 23 23 12 23 23 14 10 23 23 10 23 12 12 23 12 21 23 23 12 10 23 23 23 23 20 12 23 23
10411     14 10 23 23 10 23 12 29 23 10 21 23 12 10 0]xS
10412     150 2796 M (assigned by exactly one EHM and may be tested by)[23 20 20 10 23 23 23 23 12 23 21 12 23 22 23 21 12 10 21 12 23 23 23 12 28 30 35 12 23 23 23 12
10413     36 23 21 12 23 23 12 12 23 20 12 23 23 12 23 0]xS
10414     150 2844 M (an unlimited number of other EHMs.)[23 23 12 23 23 10 10 36 10 12 23 23 12 23 23 36 23 23 14 12 23 13 12 23 12 23 23 14 12 28 30 35
10415     20 0]xS
10416     75 2940 M (UART)[30 28 30 0]xS
10417     1350 156 M (Unive)[30 23 10 23 0]xS
10418     1459 156 M (rsal asynchronous receiver transmitter, a)[14 20 23 10 12 23 20 21 23 21 23 14 23 23 23 23 20 12 14 23 21 23 10 23 23 14 12 12 14 23 23 20
10419     36 10 12 12 23 14 12 12 0]xS
10420     1350 204 M (common communication peripheral which can)[21 23 36 36 23 23 12 21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 12
10421     29 23 10 21 23 12 21 23 0]xS
10422     1350 252 M (receive and send serial characters.)[14 23 21 23 10 23 23 12 23 23 23 12 20 23 23 23 12 20 23 14 10 23 10 12 21 23 23 14 23 21 12 23
10423     14 20 0]xS
10424     LH
10425     (%%[Page: 16]%%) =
10426     %%PageTrailer
10427    
10428     %%Trailer
10429     %%BoundingBox: 18 8 593 784
10430     %%DocumentNeededResources:
10431     %%+ font Helvetica
10432     %%+ font Helvetica-Bold
10433     %%+ font Helvetica-Oblique
10434     %%+ font Helvetica-BoldOblique
10435     %%+ font Symbol
10436     %%+ font Times-Roman
10437     %%+ font Times-Italic
10438     %%DocumentSuppliedResources:
10439     %%+ procset Pscript_WinNT_ErrorHandler 5.0 0
10440     %%+ procset Pscript_FatalError 5.0 0
10441     %%+ procset Pscript_Win_Basic 5.0 0
10442     %%+ procset Pscript_Win_Utils_L2 5.0 0
10443     %%+ procset Pscript_Text 5.0 0
10444     %%+ procset Pscript_Encoding256 5.0 0
10445     %%+ procset Pscript_Win_Euro_L2 5.0 0
10446     %%+ procset Pscript_Win_GdiObject 5.0 0
10447     %%+ procset Pscript_Win_GdiObject_L2 5.0 0
10448     %%+ procset Pscript_T3Hdr 5.0 0
10449     %%+ procset Pscript_Win_Dib_L2 5.0 0
10450     Pscript_WinNT_Incr dup /terminate get exec
10451     %%Pages: 16
10452     (%%[LastPage]%%) =
10453     %%EOF
10454     

dashley@gmail.com
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