%-12345X@PJL JOB @PJL SET RESOLUTION = 600 @PJL ENTER LANGUAGE = POSTSCRIPT %!PS-Adobe-3.0 %%Title: Microsoft Word - hw2_sol.doc %%Creator: PSCRIPT.DRV Version 4.0 %%CreationDate: 10/11/96 16:43:27 %%BoundingBox: 13 13 599 780 %%Pages: (atend) %%PageOrder: Ascending %%Requirements: %%DocumentNeededFonts: (atend) %%DocumentSuppliedFonts: (atend) %%DocumentData: Clean7Bit %%LanguageLevel: 2 %%EndComments %%BeginProlog %%BeginProcSet: Pscript_Win_ErrorHandler 1.0 1 /currentpacking where{pop/oldpack currentpacking def/setpacking where{pop false setpacking}if}if/$brkpage 64 dict def $brkpage begin/prnt{dup type /stringtype ne{=string cvs}if dup length 6 mul/tx exch def/ty 10 def currentpoint/toy exch def/tox exch def 1 setgray newpath tox toy 2 sub moveto 0 ty rlineto tx 0 rlineto 0 ty neg rlineto closepath fill tox toy moveto 0 setgray show}bind def/nl{currentpoint exch pop lmargin exch moveto 0 -10 rmoveto}def/=={/cp 0 def typeprint nl}def/typeprint{dup type exec}readonly def /lmargin 72 def/rmargin 72 def/tprint{dup length cp add rmargin gt{nl/cp 0 def }if dup length cp add/cp exch def prnt}readonly def/cvsprint{=string cvs tprint( )tprint}readonly def/integertype{cvsprint}readonly def/realtype{ cvsprint}readonly def/booleantype{cvsprint}readonly def/operatortype{(--) tprint =string cvs tprint(-- )tprint}readonly def/marktype{pop(-mark- )tprint} readonly def/dicttype{pop(-dictionary- )tprint}readonly def/nulltype{pop (-null- )tprint}readonly def/filetype{pop(-filestream- )tprint}readonly def /savetype{pop(-savelevel- )tprint}readonly def/fonttype{pop(-fontid- )tprint} readonly def/nametype{dup xcheck not{(/)tprint}if cvsprint}readonly def /stringtype{dup rcheck{(\()tprint tprint(\))tprint}{pop(-string- )tprint} ifelse}readonly def/arraytype{dup rcheck{dup xcheck{({)tprint{typeprint}forall (})tprint}{([)tprint{typeprint}forall(])tprint}ifelse}{pop(-array- )tprint} ifelse}readonly def/packedarraytype{dup rcheck{dup xcheck{({)tprint{typeprint} forall(})tprint}{([)tprint{typeprint}forall(])tprint}ifelse}{pop (-packedarray- )tprint}ifelse}readonly def/courier/Courier findfont 10 scalefont def end errordict/handleerror{systemdict begin $error begin $brkpage begin newerror{/newerror false store vmstatus pop pop 0 ne{grestoreall}if showpage initgraphics courier setfont lmargin 720 moveto(ERROR: )prnt errorname prnt nl(OFFENDING COMMAND: )prnt/command load prnt $error/ostack known{nl nl(STACK:)prnt nl nl $error/ostack get aload length{==}repeat}if systemdict/showpage get exec(%%[ Error: )print errorname =print (; OffendingCommand: )print/command load =print( ]%%)= flush}if end end end} dup 0 systemdict put dup 4 $brkpage put bind readonly put/currentpacking where {pop/setpacking where{pop oldpack setpacking}if}if %%EndProcSet %%BeginProcSet: Pscript_Res_Emul 1.0 0 /defineresource where{pop}{userdict begin/defineresource{userdict/Resources 2 copy known{get begin}{15 dict dup begin put}ifelse exch readonly exch currentdict 1 index known not{dup 30 dict def}if load 3 -1 roll 2 index put end}bind readonly def/findresource{userdict/Resources get exch get exch get} bind readonly def/resourceforall{pop pop pop pop}bind readonly def /resourcestatus{userdict/Resources 2 copy known{get exch 2 copy known{get exch known{0 -1 true}{pop pop false}ifelse}{pop pop pop false}ifelse}{pop pop false }ifelse}bind readonly def end}ifelse %%EndProcSet %%BeginResource: procset Pscript_Win_Driver 2.0 0 /Pscript_Win_Driver 200 dict dup begin %%BeginResource: file Pscript_FatalError 2.0 0 /FatalErrorIf{{initgraphics findfont exch scalefont setfont counttomark 3 div cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def %%EndResource /VM? {vmstatus exch sub exch pop gt { [ (This job requires more memory than is available in this printer.) 100 500 (Try one or more of the following, and then print again:) 100 485 (In the PostScript dialog box, click Optimize For Portability.) 115 470 (In the Device Options dialog box, make sure the Available Printer Memory is accurate.) 115 455 (Reduce the number of fonts in the document.) 115 440 (Print the document in parts.) 115 425 12 /Times-Roman showpage (%%[ PrinterError: Low Printer VM ]%%) = true FatalErrorIf}if} bind def 30000 VM? %%BeginResource: file Pscript_Win_Utils 2.0 0 /|/def load def/,/load load |/~/exch , |/?/ifelse , |/!/pop , |/`/begin , |/^ /index , |/@/dup , |/+/translate , |/$/roll , |/U/userdict , |/M/moveto , |/- /rlineto , |/&/currentdict , |/:/gsave , |/;/grestore , |/F/false , |/T/true , |/N/newpath , |/E/end , |/Ac/arc , |/An/arcn , |/A/ashow , |/D/awidthshow , | /C/closepath , |/V/div , |/O/eofill , |/L/fill , |/I/lineto , |/-C/rcurveto , |/-M/rmoveto , |/+S/scale , |/Ji/setfont , |/Lc/setlinecap , |/Lj/setlinejoin , |/Lw/setlinewidth , |/S/show , |/LH/showpage , |/K/stroke , |/W/widthshow , |/R/rotate , |/b{bind |}bind |/bd{bind |}bind |/xd{~ |}bd/ld{, |}bd/lw/Lw ld /lc/Lc ld/lj/Lj ld/sg/setgray ld/L2? F/languagelevel where{! languagelevel 2 ge{! T}if}if |/g{@ not{U/DefIf_save save put}if U/DefIf_bool 2 ^ put}b /DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e{DefIf_El ! }b/self & |/reinitialize{[/TextInit/GraphInit/UtilsInit counttomark{@ where{ self eq}{F}?{cvx exec}{!}?}repeat cleartomark}b/initialize{`{/ADO_mxRot ~ | /TextInitialised? F | reinitialize E}{U/Pscript_Win_Data 200 dict @ ` put /ADO_mxRot ~ |/TextInitialised? F | reinitialize}?}b/terminate{!{& self eq{ exit}{E}?}loop E}b/suspend/terminate , |/resume{` Pscript_Win_Data `}b/snap{ transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~ itransform}b /dsnap{dtransform round ~ round ~ idtransform}b<04>cvn{}|/setjn{{statusdict /jobname known{statusdict/jobname 3 -1 $ put}if}stopped cleartomark}b/solid{[] 0 setdash}b/setdsh{0 setdash}b/colspRefresh{}b/rp{4 2 $ M 1 ^ 0 - 0 ~ - neg 0 -}b/rr{1 ^ 0 - 0 ~ - neg 0 - C}b %%EndResource userdict /Level2ImagesError [ (This job contains a bitmapped image that can be printed only on) 100 500 (PostScript(R) Level 2 printers. Please send this file to a PostScript) 100 485 (Level 2 printer, or print your document again with the correct printer) 100 470 (selected.) 100 455 12 /Times-Roman ] put %%BeginResource: file Pscript_Win_Utils_L1 2.0 0 L2? not g{/rf{N rp L}b/fx{1 1 dtransform @ 0 ge{1 sub 1}{1 add -0.25}? 3 -1 $ @ 0 ge{1 sub 1}{1 add -0.25}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{ 4 -2 $ snap + +S fx rf}b/rs{N rp C K}b/rc{N rp clip N}b/sg{setgray}b/sco{ setrgbcolor}b/sgco{{sg}{sco}?}b}e %%EndResource %%BeginResource: file Pscript_Win_Utils_L2 2.0 0 L2? g{/colspA/DeviceGray |/colspABC/DeviceRGB |/setAorABC{{colspA}{colspABC}? setcolorspace}b/rf/rectfill , |/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5 }? 3 -1 $ @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{4 -2 $ snap + +S fx rf}b/rs/rectstroke , |/rc/rectclip , |/sg {@ @ setcolor}b/sco{setcolor}b/colspRefresh{colspABC setcolorspace}b/sgco{{sg }{sco}?}b/UtilsInit{F setglobal}b/definecolorrendering{/ColorRendering defineresource !}b/findcolorrendering{@/ColorRendering resourcestatus{! ! /ColorRendering findresource T}{! F}?}b/selectcolorrendering{@/ColorRendering resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}? findresource setcolorrendering}b}e %%EndResource %%BeginResource: file Pscript_Win_Encoding 2.0 0 /bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron /breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18 bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase /florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron /guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright /bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets /Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered /macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph /periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter /onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis /Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute /Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls /agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve /oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex /udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153 154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253 254]{/bullet put @}forall 166/bar put 176/ring put %%EndResource %%BeginResource: file Pscript_Win_Text 2.0 0 /TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? T | /fM[1 0 0 -1 0 0]|/mFM matrix |/iMat[1 0 0.212557 neg 1 0 0]|}if}b/xUP null | /yUP null |/uW null |/xSP null |/ySP null |/sW null |/copyfont{1 ^ length add dict `{1 ^/FID ne{|}{! !}?}forall & E}b/rF{3 copyfont @ `/Encoding ANSIEncoding &/CharStrings known{CharStrings/Eth known not{! ANSIEncodingOld} if}if | E}b/mF{findfont ~{@/Encoding get @ StandardEncoding eq{! T}{{ ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? ` /OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font 3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b /sRxy{: matrix astore concat 0 0 M}b/eR/; , | %%EndResource %%BeginResource: file Pscript_Win_Text_Bold 2.0 0 /mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0 FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 | /StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or & /StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^ /FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2 copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{ : Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{: Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b /asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D ; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName ~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b %%EndResource %%BeginResource: file Pscript_Win_Graphics 2.0 0 /SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{ SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null | /GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 | /Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]| /TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null | /BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b /HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8 Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag {Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E /makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{ /h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}? |/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 | /XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0 Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload ! sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if} }{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $ /PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b /hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{ /SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict ` YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2 ~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2 rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~ |/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0 0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b %%EndResource %%BeginResource: file Pscript_Win_Graphics_L1 2.0 0 L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}? -1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}? }if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ | pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy ` /PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1 255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox | /BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec ;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $ PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^ sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b /patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^ M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr S}repeat YStep add M}repeat ! ! ! ! E}b}e %%EndResource %%BeginResource: file Pscript_Win_Graphics_L2 2.0 0 L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{ setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{ pfprep setpattern K restore N}b}e %%EndResource %%BeginResource: file Pscript_Win_BW_Images 2.0 0 /iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc 0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b /setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b /setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b /setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}| /myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 | /MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc /setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc ]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , | L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~ string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ , | L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ ` /Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]| /DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b %%EndResource %%BeginResource: file Pscript_Win_BW_Images_L1 2.0 0 L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b /setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0 0 ih 0 0]s imagemask}b}e %%EndResource %%BeginResource: file Pscript_Win_Co_Images_L1 2.0 0 L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{ /deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E | c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict /currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{ /expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut ~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @ currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @ 3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{ 1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~ |/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute} concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub | /bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255 V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @ spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{ cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b /invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3 idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut 1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @ rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | ! invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3 copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~ mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3 createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12 createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand ,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8 [iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length |/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2 len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0 smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec ,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s image}?}b}e %%EndResource %%BeginResource: file Pscript_Win_Co_Images_L2 2.0 0 L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[ /Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw | /Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s | /BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{ /CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc | /Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}? setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1 0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{ /DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0 1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 | /Interpolate smoothflag | E image}b}e %%EndResource %%BeginResource: file Pscript_Win_Type3_Hdr 2.0 0 /GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~ |/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict | CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar {/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict /Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put CharProcs 3 1 $ put Metrics 3 1 $ put E}| %%EndResource %%BeginResource: file Pscript_Win_Type1_Hdr 2.0 0 /FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{ /offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~ putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ | /PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding 256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| & E currentfile eexec}bind | %%EndResource /pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{ mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 | /BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b /setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b %%BeginResource: file Pscript_Win_Compat 2.0 0 userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def }bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{ /pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3 /tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10 /hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar 130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135 /daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE 145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150 /endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156 /oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar 167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172 /logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178 /twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183 /periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187 /guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown 192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198 /AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204 /Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve 211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash 217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223 /germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229 /aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis 236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242 /ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248 /oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254 /thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{ pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def /terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate load def/resume/initialize load def/M/moveto load def end put/Courier findfont 10 scalefont setfont %%EndResource end /ProcSet defineresource pop %%EndResource %%EndProlog %%BeginSetup Pscript_Win_Compat dup /initialize get exec [ 1.000 0 0 1.000 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec [{0 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/JobTimeout 4 -1 roll put setuserparams}{statusdict/setjobtimeout get exec}ifelse } stopped cleartomark [{240 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/WaitTimeout 4 -1 roll put setuserparams}{statusdict/waittimeout 3 -1 roll put}ifelse } stopped cleartomark [{1 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/NumCopies 4 -1 roll put setpagedevice}{userdict/#copies 3 -1 roll put}ifelse } stopped cleartomark [{ %%BeginFeature: *Levels of Gray Printer’s Current Setting %%EndFeature } stopped cleartomark [{ <> setpagedevice } stopped cleartomark [{ %%BeginFeature: *InputSlot AutoSelect Tray %%EndFeature } stopped cleartomark [{ %%BeginFeature: *Resolution Enhancement Printer’s Current Setting %%EndFeature } stopped cleartomark [{ %%BeginFeature: *PageSize Letter <> setpagedevice %%EndFeature } stopped cleartomark 1 setlinecap 1 setlinejoin /mysetup [ 0.120 0 0 -0.120 13.000 780.000 ] | %%EndSetup %%Page: 1 1 %%BeginPageSetup [{ %%BeginFeature: *VMOption 3MB %%EndFeature } stopped cleartomark [{ %%BeginFeature: *Duplex %%EndFeature } stopped cleartomark userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 5100 6600 rf ; userdict begin /savelevel1 save def end %%EndPageSetup : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Helvetica (F0) cvn 0.892 (Helvetica) cvn /Type1 T (Helvetica) cvn mF (F0_83) cvn F0 83 xF F0_83 Ji 642 203 M 0.008 0 (Instructor: Alexander )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 1431 203 M -0.217 0 (Manov)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2361 203 M -0.148 0 (1)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2407 203 M -0.074 0 ( / )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2476 203 M -0.148 0 (5)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 3332 203 M 0.057 0 ( Homework #2: solutions)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 642 6027 M -0.036 0 (cs330 - Fall 1996)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2844 6027 M -0.110 0 (Illinois Institute of Technology - CSAM)A ; 612 5906 N M 3660 0 - 6 Lw 1 Lc 1 Lj solid 0.749 0.749 0.749 sco K 612 379 N M 3660 0 - 0.749 0.749 0.749 sco K : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Bold (F2) cvn 0.915 (Times-Bold) cvn /Type1 T (Times-Bold) cvn mF (F2_117) cvn F2 117 xF F2_117 Ji 642 623 M 0.125 0 (1.)A ; : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Roman (F4) cvn 0.900 (Times-Roman) cvn /Type1 T (Times-Roman) cvn mF (F4_100) cvn F4 100 xF F4_100 Ji 730 640 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 640 M -0.054 0 (a\) The table below lists all vertices at distance 0, 1, and 2 from b:)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1475 884 M (0)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1665 884 M (1)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1855 884 M (2)S ; 1427 874 N M 6 6 rr : 0 0 0 sco O ; 1427 874 N M 6 6 rr : 0 0 0 sco O ; 1433 874 N M 184 6 rr : 0 0 0 sco O ; 1617 874 N M 6 6 rr : 0 0 0 sco O ; 1623 874 N M 184 6 rr : 0 0 0 sco O ; 1807 874 N M 6 6 rr : 0 0 0 sco O ; 1813 874 N M 184 6 rr : 0 0 0 sco O ; 1997 874 N M 6 6 rr : 0 0 0 sco O ; 1997 874 N M 6 6 rr : 0 0 0 sco O ; 1427 880 N M 6 118 rr : 0 0 0 sco O ; 1617 880 N M 6 118 rr : 0 0 0 sco O ; 1807 880 N M 6 118 rr : 0 0 0 sco O ; 1997 880 N M 6 118 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1855 1008 M -0.400 0 (a)A ; 1427 998 N M 6 6 rr : 0 0 0 sco O ; 1433 998 N M 184 6 rr : 0 0 0 sco O ; 1617 998 N M 6 6 rr : 0 0 0 sco O ; 1623 998 N M 184 6 rr : 0 0 0 sco O ; 1807 998 N M 6 6 rr : 0 0 0 sco O ; 1813 998 N M 184 6 rr : 0 0 0 sco O ; 1997 998 N M 6 6 rr : 0 0 0 sco O ; 1427 1004 N M 6 118 rr : 0 0 0 sco O ; 1617 1004 N M 6 118 rr : 0 0 0 sco O ; 1807 1004 N M 6 118 rr : 0 0 0 sco O ; 1997 1004 N M 6 118 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1665 1132 M -0.400 0 (e)A ; 1427 1122 N M 6 6 rr : 0 0 0 sco O ; 1433 1122 N M 184 6 rr : 0 0 0 sco O ; 1617 1122 N M 6 6 rr : 0 0 0 sco O ; 1623 1122 N M 184 6 rr : 0 0 0 sco O ; 1807 1122 N M 6 6 rr : 0 0 0 sco O ; 1813 1122 N M 184 6 rr : 0 0 0 sco O ; 1997 1122 N M 6 6 rr : 0 0 0 sco O ; 1427 1128 N M 6 118 rr : 0 0 0 sco O ; 1617 1128 N M 6 118 rr : 0 0 0 sco O ; 1807 1128 N M 6 118 rr : 0 0 0 sco O ; 1997 1128 N M 6 118 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1475 1256 M (b)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1855 1256 M (d)S ; 1427 1246 N M 6 6 rr : 0 0 0 sco O ; 1433 1246 N M 184 6 rr : 0 0 0 sco O ; 1617 1246 N M 6 6 rr : 0 0 0 sco O ; 1623 1246 N M 184 6 rr : 0 0 0 sco O ; 1807 1246 N M 6 6 rr : 0 0 0 sco O ; 1813 1246 N M 184 6 rr : 0 0 0 sco O ; 1997 1246 N M 6 6 rr : 0 0 0 sco O ; 1427 1252 N M 6 118 rr : 0 0 0 sco O ; 1617 1252 N M 6 118 rr : 0 0 0 sco O ; 1807 1252 N M 6 118 rr : 0 0 0 sco O ; 1997 1252 N M 6 118 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1665 1380 M -0.400 0 (c)A ; 1427 1370 N M 6 6 rr : 0 0 0 sco O ; 1433 1370 N M 184 6 rr : 0 0 0 sco O ; 1617 1370 N M 6 6 rr : 0 0 0 sco O ; 1623 1370 N M 184 6 rr : 0 0 0 sco O ; 1807 1370 N M 6 6 rr : 0 0 0 sco O ; 1813 1370 N M 184 6 rr : 0 0 0 sco O ; 1997 1370 N M 6 6 rr : 0 0 0 sco O ; 1427 1376 N M 6 124 rr : 0 0 0 sco O ; 1617 1376 N M 6 124 rr : 0 0 0 sco O ; 1807 1376 N M 6 124 rr : 0 0 0 sco O ; 1997 1376 N M 6 124 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1855 1504 M -0.300 0 (f)A ; 1427 1494 N M 6 6 rr : 0 0 0 sco O ; 1433 1494 N M 184 6 rr : 0 0 0 sco O ; 1617 1494 N M 6 6 rr : 0 0 0 sco O ; 1623 1494 N M 184 6 rr : 0 0 0 sco O ; 1807 1494 N M 6 6 rr : 0 0 0 sco O ; 1813 1494 N M 184 6 rr : 0 0 0 sco O ; 1997 1494 N M 6 6 rr : 0 0 0 sco O ; 1427 1500 N M 6 118 rr : 0 0 0 sco O ; 1427 1618 N M 6 6 rr : 0 0 0 sco O ; 1427 1618 N M 6 6 rr : 0 0 0 sco O ; 1433 1618 N M 184 6 rr : 0 0 0 sco O ; 1617 1500 N M 6 118 rr : 0 0 0 sco O ; 1617 1618 N M 6 6 rr : 0 0 0 sco O ; 1623 1618 N M 184 6 rr : 0 0 0 sco O ; 1807 1500 N M 6 118 rr : 0 0 0 sco O ; 1807 1618 N M 6 6 rr : 0 0 0 sco O ; 1813 1618 N M 184 6 rr : 0 0 0 sco O ; 1997 1500 N M 6 118 rr : 0 0 0 sco O ; 1997 1618 N M 6 6 rr : 0 0 0 sco O ; 1997 1618 N M 6 6 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 1746 M -0.146 0 (There is one way of listing the paths of length 1, two ways - the paths of length 2,)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 1864 M -0.134 0 (and 3 ways - the paths of length 3. Therefore there are 12 possible breadth-first traversals)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 1982 M -0.043 0 (starting in b:)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 2100 M -0.188 0 (becadf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1257 2100 M -0.188 0 (becafd, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1572 2100 M -0.188 0 (becdaf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1887 2100 M -0.188 0 (becdfa, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2202 2100 M -0.188 0 (becfad, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2517 2100 M -0.214 0 (becfda,)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 2218 M -0.188 0 (bceadf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1257 2218 M -0.188 0 (bceafd, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1572 2218 M -0.188 0 (bcedaf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1887 2218 M -0.188 0 (bcedfa, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2202 2218 M -0.188 0 (bcefad, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2517 2218 M -0.250 0 (bcefda)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 2454 M -0.050 0 ( b\))A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 2454 M -0.188 0 (bcadef, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1257 2454 M -0.188 0 (bcadfe, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1572 2454 M -0.188 0 (bcdaef, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1887 2454 M -0.188 0 (bcdafe, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2202 2454 M -0.188 0 (bcdefa, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2517 2454 M -0.188 0 (bcdfea, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2832 2454 M -0.188 0 (bcedaf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 3147 2454 M -0.188 0 (bcedfa, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 3462 2454 M -0.250 0 (bcefda)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 2572 M -0.188 0 (becadf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1257 2572 M -0.188 0 (becdaf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1572 2572 M -0.188 0 (becdfa, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1887 2572 M -0.188 0 (bedacf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2202 2572 M -0.188 0 (bedcaf, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2517 2572 M -0.188 0 (bedfca, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 2832 2572 M -0.188 0 (bedfac, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 3147 2572 M -0.188 0 (befdac, )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 3462 2572 M -0.250 0 (befdca)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_117 Ji 642 2927 M 0.125 0 (2.)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 942 2944 M -0.171 0 (Yes, because all vertices are of even degree.)A ; : 0 0 4883 6391 rc 0 0 0 sco (F4_83) cvn F4 83 xF F4_83 Ji 642 3178 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 1503 3162 M -0.400 0 (a)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3280 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 692 3280 M -0.009 0 (bc b)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3398 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3516 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3634 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3752 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3870 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 3988 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 692 3988 M -0.017 0 (bca b)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4106 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4224 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4342 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4460 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4676 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4794 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 692 4794 M -0.018 0 (bcad b)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 4912 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 5030 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 5148 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F4_100 Ji 642 5266 M -0.007 0 ( f)A ; N 18 19 1639 3295 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1639 4004 9.000 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1639 4809 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1751 3514 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 4222 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 5028 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 3352 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1895 4060 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 4866 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1870 3633 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 4341 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 5147 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 3789 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 4497 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 5303 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 3564 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 4272 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 5078 ellp : 0 0 0 sco O ; 0 0 0 sco K 1630 3305 N M -119 269 - 0 0 0 sco K 1630 4013 N M -119 269 - 0 0 0 sco K 1636 3305 N M 119 219 - 0 0 0 sco K 1517 3568 N M 188 225 - 0 0 0 sco K 1517 4276 N M 188 225 - 0 0 0 sco K 1517 5082 N M 188 225 - 0 0 0 sco K 1898 3355 N M -25 288 - 0 0 0 sco K 1898 4063 N M -25 288 - 0 0 0 sco K 1898 4869 N M -25 288 - 0 0 0 sco K 1711 3793 N M 163 -157 - 0 0 0 sco K 1711 4501 N M 163 -156 - 0 0 0 sco K 1711 5307 N M 163 -157 - 0 0 0 sco K 1523 3561 N M 225 -43 - 0 0 0 sco K 1523 4270 N M 225 -44 - 0 0 0 sco K 1523 5075 N M 225 -43 - 0 0 0 sco K 1748 3524 N M 119 106 - 0 0 0 sco K 1748 4232 N M 119 106 - 0 0 0 sco K 1748 5038 N M 119 106 - 0 0 0 sco K 1517 3568 N M 356 75 - 0 0 0 sco K 1517 4276 N M 356 75 - 0 0 0 sco K 1517 5082 N M 356 75 - 0 0 0 sco K LH savelevel1 restore pagesave restore (%%[ Page: 1 ]%%) = %%PageTrailer %%Page: 2 2 %%BeginPageSetup [{ %%BeginFeature: *VMOption 3MB %%EndFeature } stopped cleartomark [{ %%BeginFeature: *Duplex %%EndFeature } stopped cleartomark userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 5100 6600 rf ; userdict begin /savelevel1 save def end %%EndPageSetup : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Helvetica (F0) cvn 0.892 (Helvetica) cvn /Type1 T (Helvetica) cvn mF (F0_83) cvn F0 83 xF F0_83 Ji 642 203 M 0.008 0 (Instructor: Alexander )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 1431 203 M -0.217 0 (Manov)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2361 203 M -0.148 0 (2)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2407 203 M -0.074 0 ( / )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2476 203 M -0.148 0 (5)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 3332 203 M 0.057 0 ( Homework #2: solutions)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 642 6027 M -0.036 0 (cs330 - Fall 1996)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2844 6027 M -0.110 0 (Illinois Institute of Technology - CSAM)A ; 612 5906 N M 3660 0 - 6 Lw 1 Lc 1 Lj solid 0.749 0.749 0.749 sco K 612 379 N M 3660 0 - 0.749 0.749 0.749 sco K : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Roman (F2) cvn 0.900 (Times-Roman) cvn /Type1 T (Times-Roman) cvn mF (F2_100) cvn F2 100 xF F2_100 Ji 642 504 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 622 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 622 M -0.024 0 (bcadf b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 740 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 858 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 976 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1094 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1408 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1526 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 1526 M -0.034 0 (bcadfe b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1644 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1762 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1880 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1998 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 2784 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 2902 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 2902 M -0.035 0 (bcadfed b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3020 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3138 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3256 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3374 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3590 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3708 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 3708 M -0.044 0 (bcadfedc b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3826 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3944 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4062 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4180 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4494 M -0.010 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4612 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 4612 M -0.055 0 (bcadfedce b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4730 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4848 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4966 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 5084 M -0.007 0 ( f)A ; N 18 19 1639 637 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1639 1542 9.000 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1639 2917 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1639 3724 9.000 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1639 4627 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1751 856 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 1760 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 3136 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 3942 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1751 4846 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 694 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1895 1598 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 2974 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1895 3780 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 4684 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1870 975 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 1879 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 3255 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 4061 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1870 4965 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 1131 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 2035 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 3411 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 4217 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 5121 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 906 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 1810 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 3186 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 3992 ellp : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 4896 ellp : 0 0 0 sco O ; 0 0 0 sco K 1898 697 N M -25 288 - 0 0 0 sco K 1898 1601 N M -25 288 - 0 0 0 sco K 1898 2977 N M -25 288 - 0 0 0 sco K 1898 3783 N M -25 288 - 0 0 0 sco K 1898 4687 N M -25 288 - 0 0 0 sco K 1711 1135 N M 163 -157 - 0 0 0 sco K 1523 903 N M 225 -43 - 0 0 0 sco K 1523 1807 N M 225 -43 - 0 0 0 sco K 1523 3183 N M 225 -43 - 0 0 0 sco K 1748 866 N M 119 106 - 0 0 0 sco K 1748 1770 N M 119 106 - 0 0 0 sco K 1748 3146 N M 119 106 - 0 0 0 sco K 1748 3952 N M 119 106 - 0 0 0 sco K 1517 910 N M 356 75 - 0 0 0 sco K 1517 1814 N M 356 75 - 0 0 0 sco K LH savelevel1 restore pagesave restore (%%[ Page: 2 ]%%) = %%PageTrailer %%Page: 3 3 %%BeginPageSetup [{ %%BeginFeature: *VMOption 3MB %%EndFeature } stopped cleartomark [{ %%BeginFeature: *Duplex %%EndFeature } stopped cleartomark userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 5100 6600 rf ; userdict begin /savelevel1 save def end %%EndPageSetup : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Helvetica (F0) cvn 0.892 (Helvetica) cvn /Type1 T (Helvetica) cvn mF (F0_83) cvn F0 83 xF F0_83 Ji 642 203 M 0.008 0 (Instructor: Alexander )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 1431 203 M -0.217 0 (Manov)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2361 203 M -0.148 0 (3)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2407 203 M -0.074 0 ( / )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2476 203 M -0.148 0 (5)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 3332 203 M 0.057 0 ( Homework #2: solutions)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 642 6027 M -0.036 0 (cs330 - Fall 1996)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2844 6027 M -0.110 0 (Illinois Institute of Technology - CSAM)A ; 612 5906 N M 3660 0 - 6 Lw 1 Lc 1 Lj solid 0.749 0.749 0.749 sco K 612 379 N M 3660 0 - 0.749 0.749 0.749 sco K : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Roman (F2) cvn 0.900 (Times-Roman) cvn /Type1 T (Times-Roman) cvn mF (F2_100) cvn F2 100 xF F2_100 Ji 642 504 M -0.011 0 ( a)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 622 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 692 622 M -0.055 0 (bcadfedceb b)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 740 M -0.009 0 ( c)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 858 M ( d)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 976 M -0.008 0 ( e)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1094 M -0.007 0 ( f)A ; : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Bold (F4) cvn 0.915 (Times-Bold) cvn /Type1 T (Times-Bold) cvn mF (F4_117) cvn F4 117 xF F4_117 Ji 642 1507 M 0.125 0 (3.)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 942 1524 M -0.171 0 (Yes, because all vertices are of even degree.)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 1880 M ( 1)S ; : 0 0 4883 6391 rc 0 0 0 sco (F2_83) cvn F2 83 xF F2_83 Ji 642 2210 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1335 2194 M (2 3)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 2312 M ( 1 2 3 5 2 4 5 6 9 5 8 4 7 8 9 10 6 3 1)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 2548 M ( 4 5 6)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3020 M ( 7 8 9 10)S ; : 0 0 4883 6391 rc 0 0 0 sco F4_117 Ji 642 3611 M 0.125 0 (4.)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 730 3628 M -0.175 0 ( a\))A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 942 3628 M -0.125 0 ({ <1,1>,<1,2>,<1,3>,<1,4>,<1,8>,)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_83 Ji 642 3764 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_83 Ji 942 3764 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1005 3748 M -0.133 0 (<2,1>,<2,2>,<2,3>,<2,4>,)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_83 Ji 642 3882 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_83 Ji 942 3882 M 0.250 0 ( )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1005 3866 M -0.133 0 (<3,1>,<3,2>,<3,3>,)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3984 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 942 3984 M -0.107 0 ( <4,1>,<4,2>,)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4102 M ( )S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 942 4102 M -0.080 0 ( <8,1> })A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 4456 M -0.043 0 ( b\))A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1250 4580 M (1)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1400 4580 M (2)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1550 4580 M (3)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1700 4580 M (4)S ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 1850 4580 M (8)S ; 1052 4570 N M 6 6 rr : 0 0 0 sco O ; 1052 4570 N M 6 6 rr : 0 0 0 sco O ; 1058 4570 N M 144 6 rr : 0 0 0 sco O ; 1202 4570 N M 6 6 rr : 0 0 0 sco O ; 1208 4570 N M 144 6 rr : 0 0 0 sco O ; 1352 4570 N M 6 6 rr : 0 0 0 sco O ; 1358 4570 N M 144 6 rr : 0 0 0 sco O ; 1502 4570 N M 6 6 rr : 0 0 0 sco O ; 1508 4570 N M 144 6 rr : 0 0 0 sco O ; 1652 4570 N M 6 6 rr : 0 0 0 sco O ; 1658 4570 N M 144 6 rr : 0 0 0 sco O ; 1802 4570 N M 6 6 rr : 0 0 0 sco O ; 1808 4570 N M 144 6 rr : 0 0 0 sco O ; 1952 4570 N M 6 6 rr : 0 0 0 sco O ; 1952 4570 N M 6 6 rr : 0 0 0 sco O ; 1052 4576 N M 6 118 rr : 0 0 0 sco O ; 1202 4576 N M 6 118 rr : 0 0 0 sco O ; 1352 4576 N M 6 118 rr : 0 0 0 sco O ; 1502 4576 N M 6 118 rr : 0 0 0 sco O ; 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1952 5314 N M 6 6 rr : 0 0 0 sco O ; 1952 5314 N M 6 6 rr : 0 0 0 sco O ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 5658 M -0.100 0 ( c\))A ; N 18 19 1639 637 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1751 856 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 19 18 1895 694 ellp : 0 0 0 sco O ; 0 0 0 sco K N 1870 975 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1701 1131 9.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 18 19 1514 906 ellp : 0 0 0 sco O ; 0 0 0 sco K 1580 1995 N M -525 988 - 0 0 0 sco K 1580 1995 N M 593 975 - 0 0 0 sco K 1061 2970 N M 1113 0 - 0 0 0 sco K 1236 2658 N M 750 0 - 0 0 0 sco K 1411 2308 N M 356 0 - 0 0 0 sco K 1773 2320 N M -300 650 - 0 0 0 sco K 1411 2308 N M 431 668 - 0 0 0 sco K 1223 2658 N M 244 312 - 0 0 0 sco K 1986 2658 N M -150 318 - 0 0 0 sco K LH savelevel1 restore pagesave restore (%%[ Page: 3 ]%%) = %%PageTrailer %%Page: 4 4 %%BeginPageSetup [{ %%BeginFeature: *VMOption 3MB %%EndFeature } stopped cleartomark [{ %%BeginFeature: *Duplex %%EndFeature } stopped cleartomark userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 5100 6600 rf ; userdict begin /savelevel1 save def end %%EndPageSetup : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Helvetica (F0) cvn 0.892 (Helvetica) cvn /Type1 T (Helvetica) cvn mF (F0_83) cvn F0 83 xF F0_83 Ji 642 203 M 0.008 0 (Instructor: Alexander )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 1431 203 M -0.217 0 (Manov)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2361 203 M -0.148 0 (4)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2407 203 M -0.074 0 ( / )A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2476 203 M -0.148 0 (5)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 3332 203 M 0.057 0 ( Homework #2: solutions)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 642 6027 M -0.036 0 (cs330 - Fall 1996)A ; : 0 0 4883 6391 rc 0 0 0 sco F0_83 Ji 2844 6027 M -0.110 0 (Illinois Institute of Technology - CSAM)A ; 612 5906 N M 3660 0 - 6 Lw 1 Lc 1 Lj solid 0.749 0.749 0.749 sco K 612 379 N M 3660 0 - 0.749 0.749 0.749 sco K : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Roman (F2) cvn 0.900 (Times-Roman) cvn /Type1 T (Times-Roman) cvn mF (F2_100) cvn F2 100 xF F2_100 Ji 642 2706 M -0.100 0 (d\) No)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 2942 M -0.180 0 (e\) No)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3178 M 0.300 0 32 -0.300 0 (f\) )D 34.000 0 32 ( )W ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 792 3178 M 0.055 0 (ex. 1 4 2 3)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 3414 M -1.000 0 (g)A 0.300 0 32 -0.300 0 (\) )D 18.000 0 32 ( )W ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 792 3414 M 0.055 0 (ex. 1 8 4 1)A ; : 0 0 4883 6391 rc 0 0 0 sco %%IncludeFont: Times-Bold (F4) cvn 0.915 (Times-Bold) cvn /Type1 T (Times-Bold) cvn mF (F4_117) cvn F4 117 xF F4_117 Ji 642 3769 M 0.125 0 (5.)A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 642 5656 M -0.140 0 (a\) )A ; : 0 0 4883 6391 rc 0 0 0 sco F2_100 Ji 794 5656 M -0.300 0 (deg\(1\)=6)A ; N 967 2111 12.500 360 0 An C : 0 0 0 sco O ; 8 Lw solid 0 0 0 sco K N 967 5415 12.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 929 967 12.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 929 4271 12.500 360 0 An C : 0 0 0 sco O ; 0 0 0 sco K N 1310 1448 12.500 360 0 An C : 0 0 0 sco O ; 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