Content-Type: multipart/mixed; boundary="-------------0205122206494" This is a multi-part message in MIME format. ---------------0205122206494 Content-Type: text/plain; name="02-223.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="02-223.keywords" Piston,ideal gas,hydrodynamics,equilibrium ---------------0205122206494 Content-Type: application/postscript; name="pinta.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="pinta.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: pinta.dvi %%CreationDate: Sun May 12 22:59:38 2002 %%Pages: 33 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMR17 CMR12 CMR10 CMMI10 CMTI12 CMR8 CMBX10 CMMI8 %%+ CMSY10 CMBX12 CMR7 CMMI12 CMEX10 CMSY8 CMMI6 Helvetica Times-Italic %%+ Symbol Times-Roman CMSY6 CMR6 CMMI7 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips.exe -P pdf -G0 pinta %DVIPSParameters: dpi=8000, compressed %DVIPSSource: TeX output 2002.05.12:2259 %%BeginProcSet: tex.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: alt-rule.pro %! % Patch by TVZ % Makes dvips files draw rules with stroke rather than fill. % Makes narrow rules more predictable at low resolutions % after distilling to PDF. % May have unknown consequences for very thick rules. % Tested only with dvips 5.85(k). 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TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/copypage{}N/p 3 def @MacSetUp}N/doclip{ psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N/@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{ CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR }{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N/copypage{}N newpath}N /@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{end} repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N /@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X /yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /period put dup 61 /slash put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueXX 5087382 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 bdd7da12534ba078ad3d780414930f01bdaae649990604a33aa9eaffbe5b5489 e5c7c9ff9d9be01b08220832c41caac64816b53bbc087ae4b621d2b44b21ae5e 3f7fe4ddb05c675abfe30510eee4a7c874bb57b2ffe521a6875eddfdfd18c781 25bfca5a097aad361dd94df46f14026c25ea988194899b95001209cb7009cead 4b4ea03473ea120e7a7e341d4e3926796347fdb3a124c29660ac09f4648b313c b58e824884382f24ce08d2edc686923acace1201c16a07a42803288cd0b946f7 546510e95b1fa1cc96f0bf72aa823d8e83d7c68c752c82a54c752eed2b1e699d e9db1830272ffbf2f4996ccc2d6fe2ae272798989525ef3b67b0d09bffcef749 a805e5f76578222b9c4a8a09b13189a16ab746ddef7875f1ecf83e568f493d82 ff729baa1e0834dbec30a35d3c49c9b10c5e1d90c6e3c8fb737df5ceb3299d96 0fb79632f91f257753b4d2e34e3f54a26c7b950981fb7fe4dee3315db63e75b0 24b4d318baec8aac9cde186f6d65767df1dba35124287c2e805bc660a3a22772 0ae4fa097f1d75107441c0a0fbb9eec17d5516fa03b98756b7df7ac7eff9c7a2 364b9f691ed5cb692dfff9dd80c761e9c4d5d6061782b327302c053ce1cd09ba 0605ebf761cf9b730524e1994e7dfaa956799d522ec53d5acba27a35c4d28279 617771938ece58c5ab664aa00c1bc4efba2d15504247a68e3af0f9bd59a387b3 80db88cca083b06f5af70d768d1699826fb12ce12efc2b4c70923e052dbb964f 5fa957c3ce225c0fda64d9b5321ee1ade207c1cc93105096cc73118f4082594c 8ecddeb0d7bfde6f70bc62f10407c26a476ed88be7999d64a15912493829a9de 62c71f5a34fbf5a843e311873cd98817dc9f8a4aeb7e0738b5de10043f5cfea7 147e63b9abf3eb818128e9889ca384f115247195c3a15984eb69846f79cdf2da 4318af9db0f332c03c4214d8cb16b31bfa947262b9f8a384bbedd2282d7a02a6 ab5ff5ed5ae586ae028d69a01f1b88cea2b9069dc49def7cdf16148a247899a9 af50d6eb751b7ba8b0af24ee006b0f8bdecd813d5ed0cef567ace2b7114ea3ac 577953a5317a15862533ed27b237b2d7b147ab8aff4a4b76589ae64b93738569 53751a80231c4ba07fd7279e30fcc691d4817191a709ed20ad6bf46d64a66224 c0fabd5660400105eb08ed0ddbc12a8238f6dd9882e8d034392086eae803045c 2858e6b58429cd7dc211919c7515aba807ddbce580c7fa5cc11524a3bcb48e1d ff7e0d704c35f1fb063ca55f0da0c591a95ca5b896891fef6eff3302bf0ec041 24ab5648226c4b33cd090e5f534c9dfba8ff21037c 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 68 /D put dup 69 /E put dup 70 /F put dup 73 /I put dup 78 /N put dup 82 /R put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put dup 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 43 /plus put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueXX 5000789 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 5de47cc5260a3a967cac70a7a35b88b54315191d0423b4065c7a432987938c6b edad3b72ad63c2918b6e5a2017457e0d4ebc204b031f3fc6c13d7da7277a94ba 018e9998b3dd888011a5d7c4204989f30f908b95533bda845746b673ab71ea57 65a0d14f4350707e47c8276305b28513cbe1bb0dbd269a53719bda46e536685d df78ca0146b6b93e760256b74d939d4e35b5e77238f04c92298dfdd188feea30 e053eefbcbb52f2011772b3aae39f5805597bbc1e8bb75a446ce014030f4f2f0 f49f9e962ee4a1024a746fa92a3628db5270732b54e43fe5ecfa524f127e5fcc 788e77e66098336ad67fe4cccaf0253272d5df79864bf4b734cb9a5859d557d8 bc11b8e00221ebc12e97de4b1f466ead83a4c894709363bca9040410a52d592e 34ee40cc7e5efa920546b981aa659513a24b1b85c221a1875b62d0b89e57a368 321b8043a5b094e0379760a443d632892b14ad6d19dacc8c78093243ad67e6a3 08e56e6b68412ee690b10dac6e17708754a00d51fc957b500eb80175716eef4b 2ca1ef867614659bee3f2b7319e97b6fdf1efc847bf3cee3156f72f21751da8e 5fb6898919e6799820d3de0642d756e09d6fae4ff08dd3deda3173bff4bb11f7 9109c97ddc05897af709ea199a90fcee8ce4c7a3c15b18170c41c04de2d3fba8 f34296a95b8e1e8de3739b17273f8f2c85e914615e8eac5e8bd2387ba3b1edf4 7968f06e2067d836d0f9f3e085cdfd2de06a62c81d786b304326f7002e83160a 36598589228b4dddddc43c85e1d126f8fe81b828028e26317af5894aaccf4f69 6301e1a9fc45935d8a414957f08febebbc3a72ada80f101e47447d019ade56e9 f4fab969bba2b44e47399fedf5caa1bcea216d7ba713d523de97a57cbed59a39 c235a135d115ebd4abbd5c961fb7cbf0bd5f55269d67c81e88e81604f69ac265 40bdb9e3103937163fcfc182fd6590478b4846365138e0b2def3a5301ce79936 27a2eaf5e93cfc89a92f8a04b32d1d30294167ed4236a524d5d921c7e43d454e b687e520c6d2574a38ea810746d4843fbcf1d775fbc1ec8ebc48ca8bcd3ca728 0581fdb0cc650b2cebca88a0062e36123d7463c6d4ea7ed87b38adbc9c485235 e193f1cb5a172a07e69c0b67c40fe5edf295f6fb91067e11d15670dab8227483 ea0d94d299721211ead9a59f8e786a9e8429ca4218c22f5c96e30961bd1951bb 4aa9de163067f7c474bdabdaafb930b41a40de6c1ffc375abf2eb187b6a06046 3ddaf72741c68820bd86a15cdc1ea62a60c246571282c9545aefe88da5383d04 d414eae8653d8116c180cb859264b1d6a6cf27dcb559d0b696158b7386b333da ca861e5278693f3f6e904a58f3e76370d0ee25f6ac3e6377db68c411c55e16f9 cfb5cedea45e0f937a94aea9d9b038a2830a2805f57c8279cc30f61ec0accfb7 28b48ee1f8491774bd6ff72cb0866b454488d9457f58e8afc4cef1d57d31ad8a b26a 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueXX 5000816 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f059084178f5ab59e11b6a18979f258b8c6ed3 ccafbc21aca420c9c83eea371adc20e038b4d7b8ac303004b0aa205f04135140 76407216032fdd22e6219da8f16b28ca12524deb7bca073cc5eba65c102a5e85 fd48e6d062cd4283ee570a7774597e5bf0e3400b6be72db0115f3cb12db70ce0 83722870cddfadee715f10f1fcaf20e06f3c54afe5ca238539bfe2b596116e83 f5371ff18fa5003d8543226cfd4025f9940365b392a858d27f078d3abcffe4a1 54e78c7692d1a32bf935967c64f01b24788ff8325d61145e2d4a489fd986fb77 38e6b254522c77ca2797a504a9ce4676a77ebacb026eca94dde5922c936f8e90 c43e28519671e8def84a1526a8b89450ef2bd624857da91e7a4a832f89e4f9cc 36f6027a64831992e98b1707ddc56e562de9ad0278d89f3416dfab55ea0e5b25 9cfdc4787442890a5a8986bd394cfd87942f66b3712745aa18e52c6bd1d44d48 3f75ca3a5d39391f2bb9441314fbb25ed2b6813e66bbdec80f12a88c2f94f601 fdb6b48613c26c3ac738dcd4ab05a16c34aac07eb789901b095230281fc71f04 5ac83d60c6b82255c6276398134634a8135902a31a52e84b55aece4be46e9d93 72e8c2738a3ae29ce61298d5c2e792bc098a143f3f08614489 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 68 /D put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueXX 5087381 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 bdd7da12534ba078ad3d780414930e72218b3075925ce1192f11fc8530fcd5e3 038e3a6a6db2dcfbae3b4653e7e02730314e02b54a1e296d2bef8a79411d9225 dad7b4e6d6f9cf0688b69ba21193bf1495807e7a1e67ed7e41cc25acc04702f6 8ef703e3d45722c1a91fdef7100a48631a02a6f02a08c6b1f9b4df8310385b86 8632718fd87119a233f219d9411383b7fa9f3e4780d8c27e2e89e0cae883d664 c3eac57a3aef8988a2e9f0f8c7f53e0a80bdfc4620e21287d0390e1975398544 7f3ea66401024bea75e1b4c4437b7bb188f76f96b918ac7c6ad7e8ae7f21d8c2 790f08cccec904fe48ef39e597ed4d4237c1d1f596f5906b19ea308020f7a35c 168e327ec3246b1dfabe912f6b6daac09974876d3996e57d180261110db05f15 e3e8eebba3d90b5764c03df3033a1ed678ebc679569a2fb297378b25434c0f20 5313ecb8a952f07242d3ee731b0cdc086a4481178a3d65129c47c09b22e9c431 e11b3747b94c26a757c38d06001798c6a568303d541385244b967d3b1786edea f65bb53c4c2fe75e4b1b15c2c78d930b4296c80f08bad86012451edc8e9f0854 c3b390a16e27b11b3d45a9f72eff8baded2242dc928a61685d79e09681c97425 5b90a498614cf560fa5b1718981388268ba206a96989e6d0b5d485d9aca5594a e67dd7b34d8a369adb06647f8aff8814d6d9cdc04a4835918e557174c5bc0f3f bcea9907a04cf93c12727ec40db3f2f77596dca477862747435bdedacd9b2311 6cc97fa47ffdd7d897fb6bdd5572e35d34e7e1cb5e7273a4ffd86525323ace4a 84e1297028c2bd5469baa2e75d19360c2c9042139d5e7dd4390a6a3935424711 de21910126d750ae279916ceb71da3591d60dc62db333c5021e2c1cd61ade51e 9391472f46a58f4d47b46f95c41dbec5e45184464823b8e78d8b44944553ccbb 6e4488fe7e1a72fe54d059d390d34269f1b4c2bd50b2a83edf88c41695f2d479 366addbf2fc2ceff78749b12eb9e5c7629ecc1736696ce00d4d1b5b9a3375885 093d20be8c38890e71f0148e179eba90608f872d792ab0bf14d5104685700da2 87cd764f037b03dc30c48eaac0c56a440f1719d3a538508519a6d969da622da0 43b86d17bd144be28937415e6ed3648c325c60a070334e4aa0609f21cf7cb494 b0ba1b5525fdc83b213356dd17cd7acb780782729a8d3eed20be5801ab803b66 cda3da03882fe0ae9d1cb1b96a56f140ad899254b09c20566af81a78d8e158cd 3a4ac61bdbe90eb85b103c88b0f51d5e160c767bc23a66982c404835a3da86ba f4660cc43076e6d6851cba309a96bb1246a54939988b3d6e04fddb94 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put dup 49 /infinity put dup 112 /radical put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueXX 5000818 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f059084178f5ab59e11b66566ca5ba42b1911a 5d7f1bf343015eece988b7a93bce0c7aa61344d48aed9c92c8698d4b7c9951c8 7d103f2414b39e1437f9d2e50c4ee5f218f2e6716926a79ea978f13b1f855345 191dd7d31d8f82c2e3343c7a5894d95bdc492c28226834efcb5c12fea36ac5cc 430e0aa604961e34888adf6c1f3954cbc2498e225d953cf5685852162346f474 5a2a7087d5d7ad486de16d2ca8e15cee26e012671ba3bdc7d95cc8c98bb774f5 08625e968aee27ff7d1a06e63bcfb5aa4876c3f8f13b30ccccee73c3caf4e70d 98e6ed2f422dbb4950bf789680e064150995941a9f4dd68a575949847a7d012b b910bf03a0fd0ff582d7bf32eef7d0676dea7d3546c46d4eb62cc5f957c41086 7b839cc408660dec5f886c9f9a58ede1634780b7da0d8f10935518e756f1f21f 1e0e2534abe0ef6e0b849566e60b6487cf6710f0a76512c9378cb10c704b91a8 40dd91b369f633a58c44f0ec11e2b8785665a27516e2acf4372604ac07d5b513 d7eabbfd5fe6126f2f99bb21cd33d62a06d3d4150f8c40e4bafe7259d54a1484 67dbab0ba9012cde1a4810badf0a262ae878f03225b6ea75f1add45fe6528f2c 3f53e124e8c6c24dfd9a06f88c46d1eaa46bdde7df483bc0f135d39eca3bb63f 4195d0aa9ab7d89af28575d54393d55aaf9950799b77fef622c1a178e133699d 265e487083027ffab709c026b4cf34aaf99aeb475feb69c69205da4cdc60294e abb38e8db37ec3b74bf0552ddce8077a49598a2e1e0776edbdbf02a2f33940ef 58e6d2b4ddf0acb14eb0e6bee3a4865fb62e87fc3b003f1ee966e67daf14c63f cfc336a337eb5441e36ae51e6e2dcb6144c6ed6c9910ff6b2d358de00ac6229e 853f8bf0528f833256a88184612f2c400ba81b0a295b13136947350f54cf4035 34c5b949447dae24f784a67ba1ca94e74bffa42289611dd8e73c8a7323f4e9ad b73b37c725de87607f4f92f942000d4ff9483868b2b1c1ee85c4980174c11bde 3ee424b0d18f288036d8b7f1d445f631038e255c0f7e156de2b606dd50309687 16421f849326897e24d2b8ecc1b8a17ca37afa0511667104de29ba280b3571d1 7e5c991d11ee3e3a5a69868814857892224cae24654cc4251b505f9016bcd0aa bcd7ee37ba64c9dc22e68fabcf1fd2f728c17606f8b18e88453ca108f3ca296a ff5e9db95063b7946fdfe788f742be3e6ec97250ddb0e7cf 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 34 /bracketleftBigg put dup 35 /bracketrightBigg put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 80 /summationtext put dup 90 /integraldisplay put dup 113 /radicalBig put dup 115 /radicalBigg put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueXX 5000774 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d7190fa2d133a583138f76695558e7a e9348d37cac6651806d08527c1bb4a062a4835ac37784cc39ad8841404e438b4 d52d3901e47a1de4f7924e0fb3daf442499175bab1226edf692a4956739f8828 e80592f450c5d5c22ac88bcfbe9748f61d18243a16f4a4467f084e8e2be46ef4 7fc51c3a8199e3cda62ff9c4fb73956dab8b6683d2156377808cb35026073e80 523f59a30d195fcf9b9fce4ffafc6d5649664203ab24acb938d58d246707ffe7 d62f04bec4b70c21ef75beb2b812622b3c74e969d72d3cd11bd7106294a99caf 0b1629bc7d4de6b96ca82930831d64575f23f4ad06a0e45e315b1d392411be8d 6d73c998789ff258a07a3c8c2057325784514c845500bfd1a971310cfc11d41c 1a167dbd5ff012c60add4e87325f6e5299032a839de65fb1473a166aae1876a4 414a434f22c1d241591fb36f857df6fa930608750ffc0c54f44994662b1f00f1 400bf752ea8d83ffc4cb77a290bc2d99981ae59a191748ba5c7ba1a9d2583fd2 1398452b6ff5d83a059f7eadcd2ef744e9dd22bdf9c79d049bf06835e878c32b 7765c69bdd8ef4deb4ea7cfff4cf9354a4ddffa689de961d16772491c7afbd7f ffde42400764c68e954ee5c455a5687959829bc3b319b2147deaab3628662c80 30c5e02fea09609abe4eaa12e217bc3af673f1bc36a7039eb13fcacb4218fe0f c5a3f9452d4edf46cc91db67b624d4f2d37502fb9f11af4da18ca40b61097f95 d44329375467ed13c5cb585ec53f62b83ef9502cc755af44bf32b87b8ae9f3f2 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ba899985d51ac6db904a717ed16120549c7a6f4c8b673f706211633899dddd8d 61b04eb4ae48d3d88ea38c3eab897fdf00ed0e988506f0f4769b28710653746f 21062c9619d7db9874ac824c18df04ed9f4c01645db5583b8bc4ed39ed7ea407 782ba50fb533615b2161b292b4c93567c287905bce5f8f629e50b88746cbbf56 78c34e051c6e175e6800887f34959f0ce826bd1d11621fb74d2e93a96b6fc8c0 ad33ea7d1e26102bb44378ec4590ea6bd39b5050882ff08d72d98996907fb95f da8693f084f5da89ff2f7cf2f81b7bb6afa8c0d2cf80962d1dcf81257cb77efa ac3810139f53e382dbcc6858786a4ba5dea376410a74baeb84c3759bc1c780da 5702a649e5e488dcde3535019692dd52544508155f53b6a3d9f5ab5e6320ba3f d1eee13b35400ff65497bed03105e8feb08145398a03dd24d7207d72c4529021 8166cd24309fda0f9b2f4b3d0d4608beb623b8434b4b1ff7744d9279426956ac bec9c28e1dca930f676e16430b5e7418507eb05f31522c6ebcd8af133387ec47 25a38e73aba1d0bf21fd7824c8853edf0d41903a1cb2ad8c849ae7aa14e3fadc 45efa46a2ec0bdef17beb241a03befe31a8462c25b2b7ef45a98c8c1bbd207aa 3843df928ed05a39fb390d6cf4b68823b49c41fda93bba05b6445e4e7976b3c4 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541d4a58667a25f5ce40e045f33537686817c10d341979db5bf615e8ea2209cc 7ee3b86f0d54225906f6f6977999e69f2ca600f08a81046e11bbf86ea7842da6 998b7ec95be9f0bc4ddc2582e7667ca884972059e54d8d07fcb6adfaf6389ca7 c703fa69bb4a31b93e042f652891ec85447628758c3432950ada6b044feca74b b2a818da5cf3f0d6fa357865bc888d966eb68a11430ba7ee532c9304b41467e7 d65bade3732fb1ec954cbaec97db1cae9317518de07b5432658cbbcce6c181ac 1a10f7c2e24bb6d85d0aeb7181f6dc54f5b0db416c36733900af3c3168d8cb19 42f9a0efdf001b5e21bcf6ca2a24dbabb80a10553b8b27201875c14ef78db8dc cab6e0366c09b3faafc04e00885e9be513f637efe6a32fe4707bbdb24532e171 e907f0a4e901e9ed3857883924bcd0036bd96bf92518f496e67a0a7b3db410ac 36186471e2c221987600e3aa3c2377bf7df5f7c7b118d14bbb9431b225b5005c 4c1b41d347a9c10054a2d7b0457368eebae8efdacf16a2f7c28fd96a0fc73096 404891c1114c39841d6311453cf47ffc493d601fa43c45ce4917679aa217a5e6 7edd84d0565c0ee9df4f496be8dc8ef3234566acbb9ca43417106d31df78a7dd 7862fd6bbdd0b938ac1d7f3370f762981bf291b6ac6b793e315c68d0fa70886c a0c279 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 6 /plusminus put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 29 /greatermuch put dup 33 /arrowright put dup 39 /similarequal put dup 49 /infinity put dup 50 /element put dup 77 /M put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 112 /radical put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueXX 5000820 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 d026957276530530a2fbefc6c8f67052788e6703bb5ee49533870bca1f113ad8 3750d597b842d8d96c423ba1273ddd32f3a54a912a443fcd44f7c3a6fe3956b0 aa1e784aaec6fce08dae0c76da9d0a3eba57b98a6233d9e9f0c3f00fcc6b2c6a 9ba23af389e6dfff4efec3de05d6276c6be417703ce508377f25960ef4ed83b4 9b01b873f3a639ce00f356229b6477a081933fef3bb80e2b9dffa7f75567b1fa 4d739b772f8d674e567534c6c5bbf1cf615372be20b18472f7aa58be8c216dbd df81cc0a86b6d8318ca68fe22c8af13b54d7576fe4ca5a7af9005ea5cc4edb79 c0ab668e4fec4b7f5a9eb5f0e4c088cd818ecc4feb4b40ec8bd2981bf2336074 b64c4301d2ebf16d7ecfa3a9aa5d858a869eb4ec3b0dc5c981a88d42b6a46c19 f8454d218ca9b195caaa88868871b857352e65fb7d3e55d177d79e10fdbb91bc 3ff98d3206d501e41ab9d5862ede3176a8eb9a5f54f1899173c172761f9ba6f9 41d89dd02b244a825d18acdf5e0b660a71b553f35f0bd2c8f9978525b8b6e166 62dbae0e65f438cac484580601c3950f69876010df6c5c92185ab08da183e56e fb3dce8001f0e59c7df3fcdac39130de57297a164aed05d650f84855b2a100ff 288d3c6d9f7f6a0ed5ac42b872566886941a9684057df4704b89f302e540a4cf 3385e11804bbaa46844502ca0ad5bcee2863ca4b5cf5d8089120dd46b44d3590 f3f1e425589792415e6805d393fef0bdb775b906eb55cd90cadeef03d0b60592 047b4af795ed1fbb7af57f01d6fe7f4e546cb53b5dbe53ddf5de075cb7a8d98a 57751bc0f1c0e7f6dbd2cec7a8e69b4cd9da8642c951768cb1bc86dba456be44 f94730e9274ae2f79bcd520693490349319762db59cc05c96d790ca7346be4dd d6cc4bfc60009f982d05a9c3fd1523785c07b3d9d7b8af8c602c09cce1586f0e 5895425d6175e6300be7c28b19168b42f8748257e6e0c96d72674d7448fa79cb 7c9606725fcd6093b59108b85d152148416ea9815f699076e6fb695c85b791cb 9ca8dba275279c521932f27c924523109828f61e935911a522d1cf59caaa5d26 2de8080e3c17c10fcde4aed6894e39745a88b6b031ef1cec9377ce3726840d5c 9cf9b11d8c8b53ce0a03c99ddfdffb19fdafd11b247765194f02ac78ec7c6a7d 37335247771f9d2c7b0d297890422807335969c5323a39936fd2f052bb0a189a 162a6db962a7234d6e9929ea9ec5507bdac3f309bd341b1875af24709d0c3072 39070586a3517f3027804d30066e9cc14face21b270c5641229c9159a094d85a 24ca330771a2563992a4dd336772deb8a31eeae48e30c7540f82656ed020664b e66c506cf02ded5db30ffeb6045186e833fcd370b5618d44e75df36d65717fd3 01bc7f8b8abf0450d82377f63f836813ccad11b6be31a92e3b4f194698166bad e3f0313b4cbcbcf81f7b9d530b7147a9568ff571d82ee6ef8fbd9ba020dad253 8af162c69ab2cceabec9d43a5a7ed1649adeaa3b7ae7822ba054d6f5d53b9b97 faee914adf573188d80b2107153e8d0f6026ef2e02648676c8b997a4918c190b 173d20267016cc8b48ea4ae34d5b8dbf03484a4b8b5c999c196afd01df121643 ea32bc3d99f85af0c9736e0873780ff027734ae131c218622e1f5992211c643a 6a68882db89029f39bc6657bf561b2eb73a7cbdcd5f4825e1017ab507449e1de 5fbed6d895516de318ea61df7b14f49f75b2cad91b2574bcff54334ed2934df2 89720f42d60cc6044face7b23f301e69bfc94ef6bf009b137a3c96b117f2f658 7d03449c555eb40bd70bbd242277bacf2f0b8fbb6b792c0be47286b43605f271 0953a32a4cfafa838e2bc5b47bedae1a6770a74ab6af57fd0b50a45a5fe37561 2320b37f63268bc38a416a168c768401b13097cfa1f07fd76c28a1d658dc79be a8aae7605f48bdf05534b941b588ec8d735d7c782b564fc72e4034c3c56a86d0 45a808176fbb878808a5fc4405747752f5bd9b0f531f108a49c275c7176aef45 6d05aa69767d2ebc2508472a6a49481d0a56e32cbf6743f348984ef5c9d982ed b58ca301471b4fc12732dea4c5bba96bfeead2956629c0a8d877dbc515b36903 292eb9ed0bb2d89bde3ad3159635595abb0604e1dde51703b05334beaa193dc9 31f7d40a418ab43c24875f32cedb5bda396674cfda4a8bc6f757faee10250817 d4a410e66a3d7de82eed469fc06a626fa25a87ea1700b003059408fb7a75732d 828d8c8b06748f6049bf2ac67d7227803a1e5a8797963791b58cd9c662f463c1 ec3c45727467fe227fdb302ddad7bd3fbd89a61f0d66bedf2988594b5853b048 0b7e8907376f44292cfc97a035489a5448831ee435e30e710b3abe0cf697db80 6c84ffc012a480e6409a983208bbf92c192e013fb54faa6a8f23881eb5183ae1 99ba576b47e8993b2540935a821f4162662ee38c78aa552374640741c9013465 d716b06d7df29c721db18a51765348fb3754d46eb595280eb1becfd8f9ea3db8 829653e1e6a06bc56c213481a85c2644ee127f8a9e6d3b2b5f5ee579a557259c 24cc010795e362dece7e32ee2910dbacabbd2342ba6862154570efc13d9e4e28 949247af4ae7de154b92f3d1ed89f7e9fb572a2afaf77cf9def3aed9599ba6f2 6d9284c3b8b632df51e6823c13413b31148a914c6acd9be70c297c926c747157 c0b1d93a15e2ef8623d055f02a56fed7433f463ce80b6930809ac93c4188720f 729b65888e627b10d8df22dc51f7f47e6628cb51ac95b8ad42d75a6eeaf3762f 0ce80f5e38e0caff1fa1c9c21e90f4326ad99c9378fbc92090f7be2b4b51a046 c903a9ee806fbaf7d177cf19fa4094549f1e698a4ccae33c30327374aade28fe 5b89e88a6cad5155025c7dc99db718dc6a32f764ba826ba1ef52f29547fb1a71 be6bf28c6a6cd5adb41e352f6b7872e7450c6cdcc8736d161614c805e19ea08e e4f118385caae4a9a7742545c641d0210c6f97d50aba18edca1b5a51efc6f318 a3522d0a2da32475a7bd92bca2f0fd4d8e399dbd920dd7e753cd4faf62e3f260 18f479e27ac61213fc8ed9ff9ecc59f3c2e38386bb3ece703159757189c99e3c 4806ff8894296999d83f839294978afee02c48a19ce6655a6df2d8cff22f7127 6a7c5eff482b0ef7b9c66bdcb9f1b1947101a7f32e283f9514f19238f0216f13 71a4c268a6ae7fe487344528fbc9bf538f34a535941101fbf94f933356df511c 734e18674451309c3301210da676896ce89833d4dfd5d61622a073052a2c4fd4 cf2624f040be221eae8d9198563fba1657bd3b39210f8f5bbd0f4f46457d86d7 df7eb00a5c85012d7825fb9d0b48fa739f27a78e999748b3d270a82a40d4b898 88f6c7d8e6c12d8d8f06cec8c96a688d8a1b2dd710a8ce563926ac0cfc2541e0 f63a11972f3255a28ba3d405538b23608eff458b14d4ce63bec5fb24bc8922db 9cef5f4c4b05462e3cef5347251d5e4c705cd6137cd582439b8139a0d3186392 59821aafc1bc23efa5daea8b21836d6d06a8e548c1e1fc1270b3404f797db0f5 21b69a0b030baa789bb0fccd71d5562541868c00e7da8c8dd4872bf21115878b 6aa3473d83f4efc6258d26565dc019c0742ab51b4baec84bb359ef36f8ec2109 fb5c6f6222c86b6949a06b1d6b694bfdb16db61b51c97aea3ab656a1f73238fd 4a3163676b1a665739f27437a4613bf8dbcaeaf2bf816f94ebe491119556feb4 f8feb4b7faf5994edf7eb89f36ea9f99285467a6475d3946aa131cb09d10249b 41b6253299876109dda9e0e1df3da551e0b8657750fc6529696de8702dfa36d8 448fa38b4512da9cda484605e9a9873aa0eb45c884522ec74840ea8a089b2ed1 af876f0d6edea1bb12077f6c5dd8fd5626d61f065c96b89dc77095387683abda 36a4aae8e6adfc6710f4acb66558249bb176b6b1c6e0b9904db1fc4c9e16716d c305b067452a80af6f6202b1511665bf6aa567713e3e2851027799008b50afe3 00ed7efbeb3db21c545e919dfa0bc0dc3a10cd086a77e9b4f653268c4ade8c41 2c2fd38f31567077fafbbebb82aff627df6273af3a1675066c43d2a064903260 62c2ed2cce67453652cec0c55c68a299b1ec5495d4a3e1e46560fd11b33d1e60 5b4d57fa81efdc093f38662a86b5ca8e2b93dcb57bb15bb29a038d28bbeef166 de875783c1c6fe2094d2c0abe6ac312569c86256fa4244b9ccfda354201c1d46 9cd54c5e4139c7fa80218ea9d72f4775490d25d034374f203fb1a56064b74543 72011d7594de75cd81f694eb902d136b0cfb644a478521d22736ad1b91f69ac7 50aea05dfa759a8fa4222587b7276a7c088ea26db27d9c46d445ffdd4cd4daf8 4cdefd61f5fd65dbd28df77a334c94cce97dc4849d8b7cf8efdf5743b2b04c40 bad524a7c516205e164dd90ad5eb02870059892b76df6e28ea1217819543e548 471fa817dcb44fe3a201f55555c9eaad9846cfe6c87a1e4556cf7fbf2c2cb2c8 f497f5e0ac14d1ab6d2fe35550b723be1372979f608ac04921b933e0facb503f 4ffd1161906dafea2f2d87e2b089ea9385c4054e47bf27e890cdb2cd3af1a2fb cd1985dec300eeaafaf30f29fe8f5f3f84656a9d7faa9777fc017cb94d6fe979 8a6a3fa0869b4153903eb40f7a0d8277eb5415b8c717f2775043666690082b29 b8e4554e89ecb28d1391299fd7d9978419635a1f2e5375ef5d3d5b99888e3c3b 0749de61e3acc225187eaec8aa4749967657c1bd2da97eb28f73b14fd7a42dee e112d05c3d82a1a5ccdf43cd0fbe308af5c2f4572b3f36a791e71f675ef2cbd2 2df675402d85933819175ace0ecce73a25f9341be772b0f5eaeb4908e612 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 17 /eta put dup 21 /lambda put dup 22 /mu put dup 25 /pi put dup 26 /rho put dup 28 /tau put dup 33 /omega put dup 34 /epsilon put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 107 /k put dup 109 /m put dup 112 /p put dup 113 /q put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-30 -250 1026 750}readonly def /UniqueXX 5087386 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 bdd7da12534ba078ad3d780414930e72218b3075925ce1192f11fc8530fcd5e3 038e3a6a6db2dcfbae3b4653e7e02730314e02b54a1e296d2bef8a79411d9225 dad7b4e6d6f9cf0688b69ba21193bf1495807e7bcb09b7064e91fa0ded228e42 09aae407a7aaca60b1076299ac4abd23ef02f108765f0e3d91f92f3afbfded37 2fcf6e4b1416901517da8f2fb3c9fe7a87bcbe6fd36cd5b5823fdb74229036a6 3c3346a1093e6b1036902c1bf42fc317c80abf04020a47b344c36de42f05c490 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 97 /a put dup 101 /e put dup 109 /m put dup 113 /q put dup 120 /x put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueXX 5000790 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b448685940729e6e22f4be0e08c6505cba868f7950 93f556b64b808dd710eb936d3ac83e5783b5f7e56d363a59a026a5619a357d21 c4e77bea121eb24b09027d1aad93158edf912940e91cd2f17922b35885894644 7773730bb19af9e70453e1b78d5edc123b273a979891d6d5e624f4a388f3897e 13b045e34b4ee2f5e4fc5e996d3549640010c671de14d18b0b3cd300e57dac03 22e59bfbf7b29422230870f5897fcfaad4b50c7c1c58edcd119218163d6f6e56 25ccb882db7b6d09a1586508e8cb642a11c29a46915e4a96e282079cb21922c1 c2e360b487a45302fd22ec8c5fab63e54b5e844d4b17ca2fff37c69c366dd72a d02922c14c0932f65ed03e4219c117962edbad2dcdeaa9c10ce8af38a4ae52e2 b377245b0be19a77d6c936e7530cc4d0b78d0cc4a92698fa2870fa54f2d8503e 2d17b3d52fb2febb09f2b2af0c2a1892039ebe19a690098799a858e3d39631bd 6925a154d161df3918074ada6bd52baddd0adc3f07e2d9f15e27cbf7fe8b98c4 07205c811121fa91e059f2f99322fed63f359ac9da97aec383f067f23e5de331 51e80f0a88ab50fe8fdae4a5de93c1ae2fdca06150b37246140c0e87cb2325a6 0d2349162ae3ac93144eee1e665a1289105318fdfe86b6e76251cb25adc967d3 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bfd33461491610d1ea164dac589a3d8188d7863c780bc933c225cb9540b84381 e1f1b75db992fcbcfcf6a1c8b30f3ed999e34cc55717b17098e6eff76b71447a 228db098705120bbd9a38d58210cb99e208c619eeaba89c878ac78b3805fe8fb 02d6144d14f258ef453f866099961ec1110d0440e67aa400a6c755179b7de66c d2b6ea90ca94b753af2d360ffd86154dc2aa12a97368aa957507a21d28fd4299 db7626beeef670eda736c635743019e7c927f43696636709403abe239c6638cd 221ba2196d21f71e2b52eca814858ce73a2e99be12027c676db5b4ea563cdfdd 84e12b0f66e6aaf8e3a5390f09bdd0c3989aa70ecd9c8fe8e3e4b64e0394f9f9 04b69d5193611b464d8438c968a416955456c29c546095fed1d5197b1baf76e8 d6961f2dc8be2772c9af35d950d27a3c583e0a8508a720972704752bb2bfc87b 997eff71a84a188ff935df9c1c8b131c5ddb214f6b6cd1770ac8945a513fb15e ea5cf623a607e9b9de9e028accff27f86c711304825c39635e03fae2283075fd 74502d2b1b1f8bcbaea2c9e224fbe457792cc4c5d7b850823e9155852855a25f 2af7215e047c8cb631ac612259ef4fe7f837f00cbbbe5b4ad2f2406272442f66 dd48fea7b215d65ac8782fb6171589a3de99ba96d870b5b1d3e862b7ede4e841 bb8de92f918fbb82c131962b5735f039acb1906eeaf0e5e4f02de834455fad8d 315b3b4d14ed87e5e7713c6410d77d02098d436c8c00b415e675b6c8c30bd22b c65315b287cd419778417ef4a5b963564421c7e3e6c4451fa518687a4bc487ff d14ea0ad9807e118289e22a95b4703402d5555b9f4a45eb112175e053528f266 a5db60db1770e3658e44d8069de91097a166712bb2bb738d3d7eeb422970ffd9 76b52fed9ce89d3c2d8933916d46c2c943f37bb7c2ba1871573b6a9c4153e2f7 c469fc603b1b87558eac5326d794fbbf3ec0f7f6bf760cd91b6ebe3dc6d28356 0478f00da2cbb61f1fcd0af8aa4f87a177a54f0e85eaf0f9afc8ea60c4a6697a ce477d9407aa5ec4df502b90a852afb5016a44700c9f3a2c1494f73f112fdd12 8f00eedb02f76ed91681858d327989df5a73b95e327de99cae266244a2980f04 0093a1369a159d9c246cde18e36f96c7dbdf13611d8ebfdb60d58b639955e2f3 c1ba64b7c4d1310f27d2b7a525bb6ac7575da799ac25ffe6e8d1a2f834a7fa88 faf95752a47db9f3aacd6bc2e3ed66eb8b5e4b614b72cdb65848e6769b4df059 fef10e9118edddc848176761ddf1f8e695a1d9ac40c62954bef012c2eaa571a0 4c6792e8cfe906b5c58e434196717f7c4431b97b9de545b773f00adc2abf9882 80bc880ace0885ddfce19b6ccbc40d011f121df8d3a945612743ab4238421a46 1cafcd17be6172da501cc47491ca11531429b3e858ae383942e62a5a68689f9f 84766db25dc181ccd7b98a6db2ad64cc5a8cb0b5d9147709aa5b6f3e4debcfda 9a4017da66f4e0cd22cdd2f0df36f7c5c241ab15bd23d481e7ed14875eb5a9ed 498a0227534d7de12ba8578ee6d105073b719aa09b25c5979222bb3e63b867be fe4c3c217fddb2312f80523dc7debe71b48b2061af1f3a9fc3a77d0d36ccf1b5 9e6244495ec7ed1f3173b39e094d484e3716bd3a6b867b760fa9d8363b0f992e b53fe3eb16a1488afca729cb232e8c040d2dfca249d86c5b43797f50abfcf231 9637824ea0a17dc514fbc54a0b10be821ea0b9a4c0bfc1bbd57aa4cd0c65311c b85aa5717a95b6ac99516a1732beebe7b27ea7a5bce28dd79f121bf7b435e987 45f8eb72ef231a2f647d71354ab23056246ad2643df90abc764127f602d45b5b fad94daf4969f83bf18093f6da9efb1a671930dcd2c27987a047bfe65b590c70 0546b7d81ed2950f351c760886c41b81547f8ed3e3ee7d63b0ceb28b3d524263 d64188f0cd48ee336f447ca316b2d1b22c5b331bb403d6ed65e4bc3ef4a65927 7bc789262b8ed31e20182df7a243e563fa4068956f13aebcb933441f7e5d2a96 7cbd0c7a7531e8567e6d147f718a4b851433cf56b878ce369c6278b3be29faae 1912605ba3552b1abb171a20521784198ed32f5a5f457eea0845828c7370e14d 97a29616ff8e2364305a57e76878f9734ade795a7fd0e8df2b5d996b7e695c6c 732650acfdae33bf74fcbcb4d2d04970fc1548ac9fb871ef7420ce7dfe925f5b 21a75c9e96c0873fdd79302f223503ae045c4049f2e6c3e2f1115eaee2f44e4a 9c4ad00dcc6b731c9eeb4b02dc9bcf2f6cda38496746900bf57094dd6146278d 8785a29c477b6a67b5d4a2474033d8c055a6faddc596463053825a2525c1071b 476b94365ae65c277872832f0cdb3d2870aeaa61ab5aa6d85bd3207f49d5a228 36932348883a414220d5893f440906c5b9a7190f2985d1b6c08eb10d9b88a0b6 2ac6a7a798ab16e0b75fe8a3627c0ef9e215ba4f0befcd8e0550bb1d6fe2ac3b 84d57ad538607f6cc6355ac98077e23b8758cac8f8fe7ae9c9ddd29b39927313 ec7f2d261d69fb18ca26f73677291b513cfa92e0838d94d34a32daa03b3f250b 2557be66b51cff844488e7eb0bee9d9f3379d69428a9be0622b78fc06e1e4928 87592039cbad948afcac84a4121b04e870c583be191dcf51b5dfa79a7ef35507 b23bed162653bad7052c59818f84f5af6679afe951cd2002cbdb9693ec6fbfb6 ed49e37e 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 3 /Lambda put dup 8 /Phi put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 22 /macron put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 63 /question put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 95 /dotaccent put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueXX 5000794 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 5de47cc5260a3a967cac70a7a35b88b54315191d0423b4065c7a432987938c6b edad3b72ad63c2918b6e5a2017457e0d4ebc204a520640fd7c4d05e35ea5486f a43d0e970787203855daccb1ed0b16325828b13b7c767a1a58c87902f0546ea5 404440fa6526975783c2d7a9572b8e5d5176bac598b8960609f49016aebf3763 89c1adfe6a1ffc0c53b3acd9d168ec3a278fd4f1d9b085dc2df701346c9d0887 3d230a161692b42a45bb5da343b4edd839dd60685a59aaa49fc65cd8e2ad2a9c 5cab953495172a1a9f40d5f38e922443a519dd96f667201a408bd1d89e35f4ab 98e2f68c3366efc14b5afe1018d9c845d808d4f8e07ea8168518a171ab4d6e21 70eeac099eb7ef46eb9781384da1fac3b3133bb718bc80082eaea88759745188 f266b31d0c7e791d633f16ed94e05517a32163e74cbd96dc5db066f2a5313d6d 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%!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 13 /gamma put dup 21 /lambda put dup 25 /pi put dup 26 /rho put dup 28 /tau put dup 58 /period put dup 60 /less put dup 61 /slash put dup 68 /D put dup 76 /L put dup 78 /N put dup 97 /a put dup 98 /b put dup 99 /c put dup 105 /i put dup 107 /k put dup 116 /t put dup 117 /u put dup 122 /z put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueXX 5087383 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 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5686952f1e4caa6d0f7b59f96817335535ac12d3f003583e48ab58601b7a2393 7981d1cb66079bd59d45b861df7bd6cec9ac46a8b3b5aa1eb0deb5b2ab8a9248 ba05109d0d7d64f133806a75c048eec572644f49184101ef5be54fc4d2644ff8 a8d04d85b8247076f556aebee8d978f0f5f227cdfa96d52f57dcccf09d62f2e7 dc63958bfe613f61b060fb32e52b712863852c37b7b1060516f3a5895c8ed496 72e887c4337263dd39319c6ff9b0da1c771531cbe5fb135075da9ac967223c49 b04856f39950a91a2f2c6de630c553e6791dbd7b40b31388f3bcc5d55d6ba3be ae2e01b638aa73937a6fc3a80d721b35880a6890d19a73fb0a37910a295353c5 a57e75bbee5efb71d6b4cca5b46e51e0007c0dc0f13e63974f7f6a70b398c828 b9db1ba6b0049d00484a19bd847ff318aa7e540c83b22648c9a35d019de89fcd 67007edb6e180a69a03f35b688b7f809629b1a0f1cdecc55c5bc0696c2cb2541 2c526989d92152e0decf7b890719a15b5ced78708626a85a84df8ee76d808392 d0f738e40b05fbd24e04fe1f8ff6e04809368a8340cdd1079865828de8aae95c 9f1d3b150403a1b2502dae9974fcf8cbcf73758806af2557e721bc431d451126 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 28 /tau put dup 59 /comma put dup 61 /slash put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 86 /V put dup 112 /p put dup 116 /t put dup 118 /v put dup 120 /x put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueXX 5087385 def currentdict end currentfile eexec 80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f 15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 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24daf7aea7ce8a63047b245822930d517df7baaafa69d2d17f7d93cebd45416d f3459365434123a76ccf883a4973bab19807e1f0c4bab03a45f7ed69ff2660ff 3963e4def11001eec4238c368a39d874fd30b3c14f4186ec7700fbce22abe468 eb32baf7b0164f8f21a9b5e706b91411faaa44467cb2180ab03de375c1ab93e9 76e11ab92fdd4a7280a6d1a8dc65c4c89d04c8ed6988045a2a3de9a4c7b1efd3 75b460d5af1cc55599032f38ab2ea44155fe8382362b9061798ca16002acfba6 5ad9db5e53b9e0a5a531324a0d420664dae5f04d3b5af5ba0cbaa202e85de4bf dbf0af2fe95651db7ecf1ddad1ac8a78efa88c42c948d7cb58e2f797ad709c6d 41107cabd4e206ee77bbc5dff08974c4c0318ae7a8d80b6f9e778f538314a51d ce36aba695968cdbad7ee54d9cec474a7fd22a9c0a5707727ab4a2c6497091b5 0ea4a9b47bc80fca2921ce3d608fa7c0103657e20ac4f90a2d863d8815683b77 cb942628666d09994442e9d81c3a9014ab425ecbe593a1c1c0d88bb8b1c4b887 7e3314c65fa7aed8d87de5f0951fcdc58e7f342a7d374a6e59f296530160d525 4cf350f767a55530f3a82deb2c8331cee423350da6e363cf5e0390a62680a480 cb2664e714a0926bf6843c6a250e1588d5c813ea8dd01830c8f7c8b317d75e7d cfef418c2ec43625039903b9ff2f10509a9a87bc743e8ef9dcdad0a58c5342e5 f308c4824593680709c745596ee7228c2beac571d2b65748a9a0c3e65be9adce 2f47483710f7c1d8bc52a0c35375622229e0f294afb0742a11ad512b4b8c2351 0cc8fb2b6adaff284eb80b60752a5ad8779cd144497c0b2d9b308ed729f12bda 7b6d26e33c105c40b5b9adfa6fcca5969613fdf77ae890706026da9644f1b6cf 6a924a630d0f7ed2de35972da869dae90dafa0af539afd4f1d5263861a2cf476 406e640f510092d3199a9c86e82296c002e4a3970ef03eb99a471836fecfab56 bc6d1ae984c60cb150b1aa98639fabf56728f93705d6fc441e624aae5d1c7c64 e0cf939a20172b08b67c2558bd5a95299f2111a792d618e84b709ca0dc68c075 289ff6c42f77b5cbad13c868786981098fbae9deff12d3f5222cf19659418755 5925cf12a8a14f530ef18f514517cf43dd429b311d4f98a092d6a6c8916de012 bc47a86cc66bc273ebef7ec31078b42d9e809b2622054da54f830b7f23874721 0a7551e4bf7e121a98ea4fe2ecafc520a976ffa7acfcbd86f8313196482039c4 1e982f9b721a7ec9bcd89fc93c0f141055439aa0e8c0c72391e32fb25ea21ebd 50fc0245c2ac87eb8b57cd2a4d53f063b4ec875814b2c184e0fa55b14aa60fb3 602872e3c0f8821ca7bb3b0dd0dd158037c54ba4a28d55b1cb732f33620ce270 4ae47ea92a45f69aa708bf0d9d8d82a60ffbfa6da7a9a33f35c1ba85b51ab787 07be6283ab634bb63c299729921f73501b4f84368ba122a29865d742be769b9a 7d9648fdf99f8923fbf8a06a630333412b7ed95c1fb0100f91be2e142da54e1f ae892e463b8d081355a05fd32df4760445cccfc0612d5d419afb0c21b67aa863 f16eea84c99ad69a5e501d4d6b5b3f438ca1a34c493ccd2cf117b98080f62fcf c0e1b1cbe2e3da014c61a40ff5efcc16f45a154223e0862014ca1bbe30159522 11e9564a9d512c8b2bd233e0e5844a304777321d55a94e3b96fbb097b4c72880 17aa7e71ecd5ef3f22c34c8f5a89cd64f51ea9099c20650ba0bc8ef650e5b17f bb08af49044d15854e38f26b1fcf722958aecca6985e46b8a35800fcc3042ea0 0ada8be1c1727af9e9a6212f80b74ce498fcf7c096b6a4a171ac39794990c79a 88a4bc27811e263602816e621b9147cbbdcafc62bb323d4d4595a4a714e91034 b6f21b9a924e997184aa5bc82aa10a96915e0c95d483aabf36c2c11cf46555be 06fb5a2ae52ae403391413ae727295387a21f32a4874ed9bba8e46c633890c45 beffbd5487cba3b5115da526715ca277d702ebf42cf7c52f33f618c0a5127718 7cf1d1da242e6bee212bdc5ce148a20ed3c6a332b76b06e31bcc3bcb38257765 2efdd123dcee150767a2c77acaa14fe8bd831104409cfa617effcf18ae4aa847 a5b1c2d696ca42ec2061f26ced3c544917647d73d4c55faef64d36700c000180 cf183708f032bf6a7b236fcb2bc36ae927b346210355b6cf3a9de605f5a6b728 8ee4fa7df2f5ac25b13a51ddfc850d0d0581046a62828da2c75b877ad356ff2b 9a5fafdeedf59b26501c9d224c2ee109f547c9ffb563ad06c08800e9096a52d7 1e1e54f60078ff35ed4859871db39c99e6e1ee0522c2648833354e5421882f81 799afcec29f44c6e88611948a8fa4cb491a809dd13fcfe703ea7e0bb6ef4c0a2 95c4ac553c4060fc6ca9b60d8365c3ea1d9f69db6bbb3de1ce1ee1a59fa71ecd 496a66c740624cd37824b327144685e9d69412200d246e23a39e436fe019eef4 46b6ead41ef4a2160ec9688f7e3e9b6aaaa25a6f85400e3ce337da325b8af169 34e3f329db7f1c48c10d0702fc95f101ced40cfa2e314ea1bdc553ed713d626e 01a7fe18dd8bf7196e0e19286023586872f151659963dbee20140008ef9b617a dbc5872034f772d0250d694e44adeacf52028c2c0efea3c276e2fc07ac1f6422 be7c6856e49b42ecc4c4d849c8d32a5d8081ad3f9dd7325d0177ef6b9bcfd5a5 04e52c0f9442df349cab44939d341af7a846067e8834fd897c781625cf3c2c29 d63d8a59ccd4337c037780d401d2044002edae979b02b2d4b73363331181ee47 1cc8ef03291e1ce26331fccf8e23e5ee81eddc9a750da2112d363f279623c6ba 0f9c59f91a626fd57e9e022b722bcc8e959d546d2a0d4ac6d08bf7e070753b57 9cc1d9708dcf68db6cbb48832fa0404865d82e2c8562bc69082d52f78146720d b16260dd5781bc9f42535b71def2b3107ea8cdee21e139b81278019bbf7cf3f5 2a19c959bb7a6f0986d0917a1b11ed6eb2a54cd6bfd7a1b3572caca858b65e11 d286bc100cba504224096b8dec2b1c44d2d8532aa4ed6bfbd770325d9a6f84b7 cff8f3da934f7edcf330377d6a0bf345c5be859e882f9b3dc4386b1188c3f26f d524bc50a991331b2f26d18d1a91ce3b3d7e091c7645c719909324372677d9d6 60cde9e18fb6102643d775b5f45f728c73a8697a5f0be086599db4eb517a5ab4 4d337ef4dda6098552a29ae1e109e5dbe6923caa32fb5ae809bab88e92e60dd1 7316e57596e832ea7028d5e2fa9d29a29a5476bd5ad634475df46e7010d49692 4466962821358f9201312ada9bce09badf91bc3155a4d27dd9c68029e1c32f57 85a3e59fef664092491cba0bee3a022c31ad0cd7dfd7b37583f8d8c05fed9958 23 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 13 /fl put dup 34 /quotedblright put dup 37 /percent put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 70 /F put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueXX 5000793 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3fca78881823c5537fe6c3dda8ee5b8 97e17cb027f5c73fdbb56b0a7c25fc3512b55fe8f3acfbffcc7f4a382d8299cc 8fd37d3cea49dabdca92847af0560b404ef71134b0f3d99934fc9d0b4e602011 b9cfb856c23f958f3c5a2fbe0ef8587d1f5774879c324e51fcb22888b74f2415 50d7401eb990d4f3a7af635198422283cac1b6cd446ddbcbd915db9bff88844e 784c6bf7389803d9450b0c21756a017306457c7e62c1d269f306bd3402e266de fc3b5e7d8a8d2f5bf0fe6ddd40d07391df4fad4a6018dce29a2b8f692b29f202 3a7c0e66de8ed85c14f1f8492167357f51a7e84cc5d92e0fee4d81cf7fbc8de5 2d2e7bb57142033993f9c08c315abade8dbc4a732e84e142d3bee51557910e12 cd8aa37c459a5e6b7f5269f59078aba3be4641a11ac48d0b625c8325b38ec08e 4c9e5e7fed976a5650d99d82114f449b9ca14c4ec957702295a39a93ef93f618 99b8ea06b092c3c1e503e6e436e0a9fa22576c8930ab3dc8c20f5d82b69cddf8 ff4dacfa9c54bed5a3aa3ea5b129fe96be632843b9b6bc91b615581a985db56b 1e01ca60ee69ca92cf5c0882ece62edad3e106d835348822400f0b66af658f2a e56ed08f8b0010571807009b73ab12a8cf14ca6c71f03c2a48c500f9d62266af 154a6375ff600d9bac3f05ce34142d6867a79581c533176bb2f3117336671e2e 44638a97167e2ea9644e31ea16c2ad2990ea33c54001e0c8156e6de8ab6a4d40 a7137ba275f39589fea2e2db8256adc103d6f9cc038037a47e8fd469c5f98a5e 3c15bd4ace40d340018b1cff7d1ed8abb0ac57b5b5a2c20a51957b96c453edb7 dae5affd91a46d938fe0a13363001d844ded4323f1ee6d30012aea19b024a552 315505535c85dc26bad31e09c50e6512802976d298c4e90d0044c362e6bf3ab3 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 97 /a put dup 98 /b put dup 99 /c put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueXX 5000768 def currentdict end currentfile eexec 8053514d28ec28da1630165fab262882d3fca78881823c5537fe6c3dda8ee5b8 97e17cb027f5c73fdbb56b0a7c25fc3512b55fe8f3acfbffcc7f4a382d8299cc 8fd37d3cea49dabdca92847af0560b404ef71134b0f3d99934fc9d0b4e602011 b9cfb856c23f958f3c5a2fbe0ef8587d1f5774879c324e51fcb22888b74f2415 50d7401eb990d4f3a7af635198422283cac1b6cd446ddbcbd915db9bff88844e 784c6bf7389803d9450b0c21756a017306462c563d51ece66fcc9c831843ecae 1fefc1a232e2724f7baee428ae03aadb95c3035345c15e9922fe49e1f2cfc980 237316572dbc57064edac9b0db8913a5e2d45e97e19a91435ccf8adfc835b585 48e74b291446d689c7f2f8c4325e8356e974ae30c3e2977477baeaa33d141fb7 80f59351e84bfc88c87b3a4a1d25e168b9d134554f6a581378c7d2d6eca8ac09 045cc3a5e0ed86f147133f094029e3483bebc81cfde69942cf645ea20d0a2b64 5140ccc2f9cb4a3d969f4b0a79cd3329b440dfcff5285494406f3dd08d804c86 df191e57232f6f1f83df6430f214e03fa5412b1e13d83c60c52a698bc9a38159 19a64162af7b83a9468fae9507c6cb55ea80df8c696dfbc3296c663902d77e89 a181502627281181ac8624f65be9de5fb32f056cc7dd7cbc7366a91717b5892a 34ef6b441871c6993da3a81afc9bf70ff3842a21a29c0e49da1ccba37dd6b920 2702db510b8b1109acf4c27ee8d676bdbd16abe189f34a9b61532eb777457698 cee0561838eaab2d3939c5093afbb215bac433d1918c739b62566906bb2187f3 378521fb52e70c18886e1aa15f53a1f8a169528cf2ddd54c203613ff88e619f2 6c9c50c2c3b8b8c868a88afab1dc8472e7b6f3f992a161723a3c0904865a7c42 3281601eee91f35222c4a71f343739f102eb43145a47e4fac3bd666e4c114a90 5950618ecb1bdc29f90f6ebed1d8325fe6b52e14a8870e9b4bb088e585c71b91 493c12845a101937e3473ac5e9ae24f7c358f06c8b42dee8ef2a1a7a9f536037 57517f2fb6da0ea305d9d20cc74d922ec4b95b8b299459b71825f6f67abee3a6 f5267c6283c7c62aa8d36663071f18e1a3f0b35dcd88d739caf8dbc344630a28 7f583f037768d861f37d7929f248146b5f31ed9f61ef0a9659b50f47ec328516 9fd999b19687e50303557945476fe9845e5c4780045d84d7df253fe61bf69607 fd277a265296b02b4e4b35884f985d29521ee7327887d983bb92dd84ff646661 2b348b5e558d3bc65047afcb202750ea6e9c18a769a4e945e0954787ee65948e 7e8e443a9f2b9f5408e0febf523423b2200166ade223570bd17a6f7dd0386f3d 2246ebb40648548e0a3ff7bab6637a16137c24b042010a3cce2ba9afb9317fcf 4a5b893c4915859ff2b53a77ff0334966f7a234ea8a4349c3e048acd6876f5f3 17b9c238f37ed4231b5e8b661ba52c32821de47f7a0f6fa9c7e0f4bf09bf98a1 8008087aa44eaf37894e83891f552626f1f46563b5188ad949521e1a398eeba3 b9b8f4ac3c24785d50bdf01e5c9b7e4ea1d6b7b6c8019d2d5f353cacf216e30b 71f09d9b95805210964ccbf8f2e30aa04ac3a3a57bde635c9d2be1f5c8f64ad6 19764c72aca8152a51003bc396bce21a56c29306bccc36a37d816de2568e7794 a8f80d857132a3dbaf3ef75409cace85e1b85a8233ef2757a507158bbba8f5f6 d9c08ab4ee39f33a1c1a41ff2b8e81320050b6c4c167596b93918824a65fe1b0 6e7dcf5d7e128a77e5509f3a3a2af6f71de243cccfa5788088d277175e59bd61 a3b5cdc10cfd232cc14682d3b37d3aca68df524af6f38511e5627286034a7c08 1c7596bfc3adecc7d1868cb9d645f8cb61041bccad92249142542934977000c1 bfbbaf570bf1a3fad2368d1e6480ed485642acd1d44258a885562397035dc979 b08877eadba7c99963e7d866be89270b10629964b5c88439c08a7721e2fd6a7d 2a03d9cf2d7fa713411824db51a9141a7c3ca37feeb758ab37376d75b9ad8534 6fe75968a1e7f6b9b549b7bbef5da78116a7d029e6e95db78593abf789ab985e 301f5945c1628f591b4867079526cd9c779b05cd30de4d9dbb820ce964cb3acf cf693b39b15335996a208373a9a1cd362e93d740535d4fe06aaef81a77034010 883c098f8fe19617d6a3cc3ccaa63742d3b251b8baa94aba7ebb7f3cad53c3c5 2c626e3918191af1e343757e0fc5f9fa620ce7e655482aaab7303710167e3041 148e3e6aae44ebe904d96a7dea9281fdbdf93b03ccd08a315df83531214f1726 dd6eff4d5f494262983201ee2afd6cc77eac76155fc59d9e42a5c45735a37af6 c3c9c4aa7c535717838a1ce8ca3424188a3ddc2bb7f58483ef08fe9b6ea090c8 bd5a639bb56a54bed34a443f0f1624f13fffd6b4f24024573a6cdc110f2a85b3 f669c706b0bcf205ee9ff8342b38525e9cbf1f1b772a71c7718b30bd59f46490 dd92c121c9fd0b99edf33c57611ce19ca35fe17079c90ce99afdfd9227184562 f4e2dc14aea6d0989a8f01f17c0983ae121614d8f578d34ead9c05a88007bc4f 90e135d97abf57c1e32fd94ed63ceeddab6c1d42f3238e6cf85a063d1239a1d9 c5de6f9e7954b873ccef98d8b44f1761e66da28b9759a24f181c9f7ca8ca190d 4d5a52b1286ad43b5f8caebe64283da13e6a9e66536a821ebc1b50e98073d79e 335c244c2b8efcd7c0b223983db1608d6f1837ae6f73d970e567960e7e03d1a6 5f7dcaeecd4f9afd0266592ed051f800ee3d5a8954460f3f57a9fb9716f4dca2 616d5e77e19918f2b1c290fa9d049267df21a4b33a06e29c758e0ecac9746be0 b7988da1634f2e7162c2c483f1c8d78eaefc94e907d3bcc79cc389979ab0dc15 bf1b2371fe907e9c6f46e26260566e38ed55175ce116e4da7024db03b6657b44 1543e575e850440d7613b96baa8320e2cde5ab834d1f333a9a749c3ab079546c 3429c90c61bfda4b758861c2e351866a18c4d14d3bee4d863edce298231a71dc 9e4c701ac2d01fead65c2244a81865874b1c22125e9f11720450c10366eb6eec 694ba3acd45ea6f9cda354cc938222a523494fa570ba76d359afd28f6ca82c35 dc9890f6e09346d93734ef8c82d7b62344fb8103a1fe6f84fb56f55e1969c4bb f61c916f5fc7aaf919d620ed2c25d2bac648ede51f981afe1d4ecf8263830258 75069803a3032b0fba0522 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 61 /equal put dup 97 /a put dup 101 /e put dup 104 /h put dup 105 /i put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 114 /r put dup 116 /t put dup 120 /x put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueXX 5000791 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d 823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 5de47cc5260a3a967cac70a7a35b88b54315191d0423b4065c7a432987938c6b edad3b72ad63c2918b6e5a2017457e0d4ebc204b094541f345ec367ae85ca9bd 24568a01d3b9f8095f7420e6c423c414b3dcce6da48dd1c89a56d078e0d0e2f2 62a13640a06d17e44ee3866c3471fb58fedf5a3b77294517651c16bdd7267d39 a54e7171752dbde63ac19bb4b3021ce95eb5fe67390b09ae4d9ed4d704a67443 f55dce17acd996c1f5e023c9e5a18cbeecc3097f23763acb86cdd7cd13381ae7 4e48495ec7fa520539d87f8a8dcb3c826275469b6800876a457e7d1e5be867c7 b1ccad69742a8c9b0ad943482bf2a4ad0aed40baeb69a0233bad36b4ca2d2da7 322956c70375d152653500b2f22d2ab6990cadde2da14b4917f7515e64bc3d96 bf775258fc7dae4e42a4c9b6da8eddec4a800c8aadc8d75e48cae52137e05c03 677f5d6a82fa46d9f2fc7f56d62e5c605a1b7898b8d1401c2cac1a0122a2c8a7 aae09607f2c5f29293a09b9959399283be89051452898238b777db9830ff4318 a298b221c4a820c700ca964fc99e6b1d9eb0bafc39be9aa9dffa2fa326b2a466 1e67261bb3dbc85844e76f9313ab533ee16bcb478166de5502b68e6ec1ea6110 f53206cf1cfea419571b0243244b32ea38b828a01e62b03bcf476a32c2341cec b8a0fa2a3f3f339315d5f3aa7704408f6617d026ffee4925aa48537a4b2e556d 225be09392546ad561cd46cf766f0ba14c6854c5af1a528c3842b0c5aeefefcf 19f19cbce5d967153c4f88e51c776cfbe10d39328466f7a3b83d85601ef4d1ce 0cc136610fa6a74d9676e4e99291d565cad27b9eb2337b0eba4148efd0eb2866 ebf0a4209ba135ad1376cf9cc2d4110f36121055caa3f2e639889580b9ff1c21 9f2c9bfa30dd03355c423cdcc3cef0e3c5690753eb0d82a5b86bc3df3dfffa0e fd28638b722aa439351babb512005ad25219ffe6c54d142f1276e6bfd0070491 10a86ece5b6983fd08128c5b1191e5d7c65fbcdcea963412753b402359858994 873cde48fae3e794bbfac35c9b9cca70534351cd61e2f1dd5db5ecc710a9cb61 0ddebd88ea84e4ebd808be49f52102659bbfbbb695da28b163f5490fd7b62379 90dcacafa7d0845063e4d550ec3936237e831b9b09b6c23c104e551c5de9c2c1 f0d35a1eb674b0bab924f2a1e24f6f9ff6f57e0a10cb6f6d202adce76fda5a22 b3d60379cd1d6c256c2f74f7329d2e61fde3ea3ed047f5c955149dbdf22c4b8f 8808eca19d9cca4332559813e7fe3359db685c31ae94b3404a1c0fc262737cf2 991ec4675269d6a3570c33a660d27b3a07803c58b87972beb991325956ab2618 f44df822febe45f1975f97f36b087cadc93d8a19f507a8f45b2218b19d79183d 50869f03b3b47475390dba6798fb9e8e53c8306cdf27ca8a34d46af92bfea537 c272f8c4fc124cb0959c2891aad7deb05297c5eedca85c618824b161df165a05 959a19e2959d55f9b0b6d219bed92fecf5fd7fbb77a2b09ed927c251a4869b56 ef69881e0d806fe905eeedd02b168c23485a3d14f82127ac744bbaca84bb72c4 c65f4bd82d8ea73b1cbfff5aa288131ec87843e359ca40cfc5a934f554303de6 8fb72b1b855ec4d6c651b52f11ae7b3d968a882fa1307b1ff92eab67ce6608c8 6bcf15a9c7e62cdbabe93eb036d379bc480eefe00a6d8fbf0bde209835e1b9bd a945445dd4f389691aefa220f07f3982e10c8fe8f8d0bd7540f29d0d4334fbd3 d95618f33b14d3281f52bf44d252789111a86d5066addbd09716a456c7aadb32 34b96f4e2ceb137560d83d73dc3f6f1072cfbdddd94c7ab0b2981e9514ef4f6d f4145b913e4131fe9625ade51b15d5364d9ed2ae9a2dbeb928e9a97f8e9eea4c d82796ac7c485509946089f50ef5a8b88c1bfb4a582557af3c33af0a3bf90b0e 33cc1a766074426490bc587e91f1c3993ed260b5d2cc79cbf0b28808bfa185ee b690e1410539fc43c5924e6464d8fde18242617d614e0611723ce3f6de736e54 9e5bda6196770f47070af4edeeb49e9556040345b2894ad2548e3ed099022629 167c0bf2295c70f66e593d1db71ad516147c66ef81cd38ccf1c288ec68165cb6 871eafa8947ddf3817e913785d63d3725665cc50d1b155d761d7f4ea638b1e01 f9000c1a33a147bfabe12df3c6220ebac518f5474c882b1b4609db11952b7fc7 c7c7628042ab8fb4a929832e06c3ac33b687fa061729b60ee95585549059c23f 4814939c777aacaa1d7b20d9cbf8a1074fb282d2c2423ea7403584c1426c3f12 f36b248cc49185ed7509734650fc21c4a69c6569c761be135f20820757c534a2 bf2b087ee26e95f1a196832921337d9f03a0fb7325e2bda332d66407ad4abefc 921a9c21b240fc5ace65f6d46db3170ad1b788f7b935499c7c7fbfc4df69395e 48b7759fe205278c7096a3e864ed3afa0def656de992eddbcd529a20fb24f837 67ebb7fb61ad6fbe394c6812b794300e305f6d79fe0bec716046f5b03b80e074 50e450ea5bc309dee758cc77af9647fac33d409c930f68a112d58f064d3b5c01 fb12e362c00b2c7cf03850c15b023903ae5e793acd4edaafffd0bb9e57b2a07b c6ef80677667f82f2653643df0459aec964e94b257c68b10226fb14a7220835e 47076e8ac3d84d84cc49b29bc47be857758048babc7169067f9889171f900c31 bdbd66079a8fd331118135f9956f06e63d89eed83ff588c2b76b36e569fe4560 9cac91ea342a36294d09f10b93867b3a0271227ead573299b5f01f68814e37da 2724f1a282759a3ea52720d3f49457cabd7cbbf0dceddba2214870ee3c7e94c6 b045d27a39205fd5b541da18cba44502a27aa7aa7190fbaa9507714a2e823767 36987786fbda43d3d484b1178b6627be0960bba4f4ebbb96ca592e14120c5156 037dbb317b907000525787e06669816a7572629281cfdf24845c69da57701a4e 5350eb12eb6ae5980a4b9c9bf35e684fb47521e0827226315070ec1d927d0623 63ae3be5462e6a1c5babdc368449da77bad6844e0de7b3b34cc9be4d8434fcc2 bbfaa9c761f35363c85648eae9947b63f025d84508a1eb497b33f310faef20a4 b4260e8393760e124621b240ebcc899d9746410607ef0364aa286f6a1e975b95 5a5da633e459e7a0ef2cdc713e82c512f811396a038e4a675b78f0913c910f1c 31c92d32d9910971c258a8ae277ff2248e30dbdc2b4be883bcec01725818f34e ad90d8e162dee49cb548524d6b18ba54b7631bc7465431e675df38a2fb2e8607 9fcc234873632e5336ad72fc9221e9e5fec017572a0c83b4e652084609c16393 ed6de966f2567381952dbfec83f894d84745b1d681c0ebfcd466330fbbc4771f e8d23598c3efa4e2969104e6ed085cf11acdda49a1f123d0b151c7ac37630426 172c3ccda40c37b2232714b2202a48fcd0fbb024ebf440560053c9e5aaa6916c 0e2fa4cd5c0a4b013938a826ad79e93e8b3361bbb042b3ba01aae65131085779 f412c0c61003202753c764127fd37f5d8d62bcb72cf0877dfd47a0785cefb8ca aa21f679eed45ca97ad201a3ab402d07c4ec8cdd6cbc8b50ad52b1e2cb49f550 7b8c982f2e19e617b58131f58990c18c8f8f0ade066ca094f29b52ec898df057 49047e09b546e53164ba4a0a09e712f3dd3cf8aa0c8c758915786ec7bc1531e3 0fe6dd55fcdefe52df57edf72853187ee68c70285b4950824205bb169203204f 6786d95881e263032291ed199c032e9a562b779ec742e4910ebf0a434dcaa1bf 46b3c77d61768f07e3a303ecd7ea4b4b3167846d45a4ad4f3ac2a0da51f8a4b3 ffb1fd4079bf8f77dbf0769b0c3e72ef308f9fea77c02172b249f9bd2d7f3f66 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92cd8e915d7e2d3cad0a50f6e473f8f87f9905099b4cfed9e473a86ffa48e416 b65848295fc3b002a6abc235ce86aae74784de569234950524eb5f72bc11e367 206b5421f658d6ca80a38526c082556b5d056d99da0a602b99a2ef179118ee2c 1408b583ead03041b5bf654cd02e42a0736235b30ae8cd0eaa15c9 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 34 /quotedblright put dup 39 /quoteright put dup 44 /comma put dup 45 /hyphen put dup 50 /two put dup 51 /three put dup 53 /five put dup 54 /six put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 87 /W put dup 90 /Z put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-36 -251 1103 750}readonly def /UniqueXX 5000829 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacee583a5c939393e012707b47e0c1f a47d284a1edc9d01a497d772bca8c543388e6dc0d1e2c4944740470e0914f65e fb0737b0851b2ba713a9a00b36d07da6bcb52920b9b59efe587734027a3c5e65 66aad332fe6fbcced1417802822a3b81d6187875263d6bbda04bbcf6e4870fee ad60f104bb3c5a766610dd11aea64a6b107b0b04439fa2888b8cc39232bb83f7 695aba81f0260cd5248b9e649cd803271dc8bb1656323089e9e2bb50f2b95088 87d31dc36e555668d9578b338402f8c259f6813b0b71e6cbd95e19c20ced8495 2559e47577e612a4d94de3c1b4c6c41a6a3fa9e2313457242de74c7e4c0d722b 3e224d18baa726369542682e9459b951b2ac638494880c42be4e2175a3c067e5 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263bff7627d5e72651389d37b769c4065551e31af8417f873e1e564efea55cfc 72e550afbe42f94d31132a5c88a9e33d68b208d3999ba3 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR17) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR17 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /colon put dup 65 /A put dup 68 /D put dup 69 /E put dup 71 /G put dup 73 /I put dup 77 /M put dup 79 /O put dup 80 /P put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 121 /y put readonly def /FontBBox{-33 -250 945 749}readonly def /UniqueXX 5000795 def currentdict end currentfile eexec 9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont TeXDict begin 39158280 55380996 1000 8000 8000 (pinta.dvi) @start /Fa 194[454 2[263 58[{}2 774.872 /CMMI7 rf /Fb 136[1079 2[581 2[789 830 747 830 1245 415 789 3[747 1[682 830 664 1[726 26[939 4[1128 7[747 747 747 747 747 747 747 747 747 747 48[{}26 1328.35 /CMBX12 rf /Fc 205[406 6[621 43[{}2 664.176 /CMR6 rf /Fd 255[640{}1 664.176 /CMSY6 rf /Fe 187[663 68[{}1 664.176 /CMMI6 rf /Ff 143[784 62[941 255 47[732{}4 885.568 /CMSY8 rf /Fg 140[1107 1[1107 22[615 9[1168 17[984 1[984 1[984 1[984 20[646 646 14[815 815 18[{}12 1106.96 /CMEX10 rf /Fh 143[922 5[307 56[1107 15[1107 8[861 3[861 19[861{}7 1106.96 /CMSY10 rf /Fi 143[1107 4[664 369 2[664 664 24[1595 26[886 1328 9[1033 5[1328 3[1328 2[1033 1033 1033 2[1033 1033 2[1033 10[1033 3[1033 1[1033{}20 1328.35 /CMSY10 rf /Fj 133[604 634 739 1[629 740 470 2[577 653 2[1138 1[676 1[444 2[641 603 676 560 553 683 7[755 1079 1228 758 2[800 990 1030 838 994 1042 1258 885 1107 4[842 963 1080 931 1[975 687 1[1012 650 1012 361 361 23[609 810 4[565 1[671 738 2[783 759 3[642 3[675 734 827 11[{}52 1328.35 /CMMI12 rf /Fk 135[465 6[465 3[727 7[394 3[441 41[441 441 441 441 441 441 441 49[{}12 774.872 /CMR7 rf /Fl 133[956 1136 2[1136 1196 837 849 879 1136 1196 1076 1196 1793 598 1136 1[598 1196 1[658 982 1196 956 1196 1046 12[1497 1196 1605 3[1683 4[801 3[1412 1649 2[1625 9[1076 1076 1076 1076 1076 1076 1076 49[{}37 1912.83 /CMBX12 rf /Fm 128[650 3[650 578 686 686 939 686 723 506 513 506 686 723 650 723 1084 361 686 397 361 723 650 397 578 723 578 723 650 1[361 1[361 650 361 795 975 1[1336 975 975 939 723 957 1[885 1012 975 1192 813 1011 668 469 975 1021 849 885 993 939 921 975 1[614 1[1012 1[361 361 650 650 650 650 650 650 650 650 650 650 650 361 434 361 1012 1[506 506 361 3[1084 650 361 10[650 7[1084 723 723 759 2[939 4[903 1[1084 1[{}89 1328.35 /CMR12 rf /Fn 231[943 24[{}1 1212.12 /CMSY10 rf /Fo 133[438 4[545 340 8[490 1[320 5[408 403 500 18[747 1[640 7[772 6[470 732 1[261 29[418 1[482 540 3[549 7[485 1[604 11[{}20 885.568 /CMMI8 rf /Fp 135[693 42[1176 825 76[{}3 1212.12 /CMMI10 rf /Fq 133[539 640 640 875 640 673 471 478 475 640 673 606 673 1010 337 640 1[337 673 606 370 539 673 539 673 606 4[606 4[1246 2[875 673 5[1111 30[337 404 337 2[471 471 5[606 21[673 12[{}37 1212.12 /CMR10 rf /Fr 139[542 550 574 14[620 774 678 31[1054 65[{}7 1212.12 /CMBX10 rf /Fs 135[497 3[366 1[367 497 523 1[523 784 3[261 523 2[418 3[470 35[732 5[470 470 470 470 470 470 470 470 4[732 1[366 366 40[{}23 885.568 /CMR8 rf /Ft 133[531 631 598 863 598 697 432 531 548 598 664 664 731 1063 332 598 1[399 664 598 399 598 664 598 598 664 4[664 1[797 2[1298 2[930 731 948 1[881 996 1[1165 815 999 1[501 966 1005 848 881 981 930 914 966 6[399 3[664 664 1[664 664 4[465 399 4[399 4[664 20[764 731 797 11[{}57 1328.35 /CMTI12 rf /Fu 135[633 1[537 1[400 3[557 25[646 6[844 889 1[753 14[553 1[307 30[484 28[{}11 1106.96 /CMMI10 rf /Fv 133[492 584 584 799 584 615 430 437 434 584 615 553 615 922 307 584 338 307 615 553 338 492 615 492 615 553 3[307 553 307 676 2[1138 1[830 799 615 815 1[753 1[830 1015 692 1[569 400 2[723 1[846 799 784 830 3[861 2[307 553 553 553 1[553 553 553 553 553 553 1[307 1[307 2[430 430 307 1[922 2[553 20[615 615 12[{}66 1106.96 /CMR10 rf /Fw 133[694 824 1[1127 824 1[607 1[607 2[780 867 4[434 867 2[694 2[867 780 18[1170 1430 975 1[802 6[1127 16[780 780 780 1[434 1[434 44[{}23 1594.02 /CMR12 rf /Fx 134[1113 2[1113 1173 813 825 813 1113 1173 1053 1173 1773 573 2[573 1173 1[633 933 1173 933 1173 1053 16[1442 1653 1[1952 3[752 1[1667 1[1442 1622 2[1592 6[573 58[{}29 2295.84 /CMR17 rf end %%EndProlog %%BeginSetup %%Feature: 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b(of)f(Mathematics,)j(Univ)-31 b(ersit)g(y)371 b(of)f(Alabama)h(at)f(Birmingham,)i(Alabama)g(35294) 3496 67333 y Fk(2)3993 67735 y Fv(Departmen)-31 b(t)370 b(of)f(Mathematics,)j(Rutgers)d(Univ)-31 b(ersit)g(y)-92 b(,)371 b(New)f(Jersey)e(08854)3496 69990 y Fk(3)3993 70392 y Fv(Curren)-31 b(t)369 b(address:)492 b(Institute)370 b(for)f(Adv)-61 b(anced)369 b(Study)-92 b(,)370 b(Princeton,)h(NJ)e (08540)26675 75417 y Fm(2)p eop %%Page: 3 3 3 2 bop 2000 5424 a Fj(L)2885 4942 y Fs(3)3411 5424 y Fm(,)561 b(are)535 b(pic)-36 b(k)g(ed,)561 b(at)535 b Fj(t)541 b Fm(=)h(0,)561 b(from)536 b(a)f(P)-36 b(oisson)536 b(pro)36 b(cess)535 b(with)g(some)h(densit)-36 b(y)534 b(function,)561 b(i.e.)536 b(they)2000 8634 y(are)546 b(assumed)g(to)g(b)36 b(e)545 b(indep)36 b(enden)-36 b(t)544 b(random)h(v)-72 b(ariables)547 b(with)f(a)g(giv)-36 b(en)547 b(double)e(p)36 b(eak)-36 b(ed)546 b(v)-36 b(elo)36 b(cit)-36 b(y)2000 11844 y(distribution)414 b Fj(p)p Fm(\()p Fj(v)48 b Fm(\))368 b(=)g Fj(p)p Fm(\()p 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y(small)555 b(when)f Fj(L)g Fm(is)g(large)h(\(the)e(n) -36 b(um)g(b)36 b(er)553 b(of)i(gas)f(particles)h(gro)-36 b(wing)555 b(lik)-36 b(e)555 b Fj(L)40616 27413 y Fs(3)41142 27895 y Fm(\))e(and)h(v)-72 b(anish)554 b(in)g(an)2000 31106 y(appropriate)564 b(h)-36 b(ydro)36 b(dynamic)565 b(scaling)h(limit)g(\(as)f Fj(L)592 b Fi(!)h(1)p Fm(\))565 b(of)g(time,)599 b(space)565 b(and)f(piston)g(mass.)2000 34316 y(In)522 b(fact,)545 b(some)523 b(rigorous)g(results)f(in)g(this) g(direction)g(w)-36 b(ere)522 b(obtained)g(in)h([LPS)o(])g(and)e([CLS]) i(for)g(a)2000 37526 y(class)447 b(of)g(initial)g(conditions)f(more)g (general)g(than)g(those)f(considered)h(here.)615 b(It)446 b(is)h(pro)-36 b(v)g(en)445 b(in)h(those)2000 40736 y(pap)36 b(ers)311 b(that)g(for)h(those)f(initial)h(distributions)f(the)g (dynamics)g(of)h(the)f(piston,)336 b(in)311 b(the)g(h)-36 b(ydro)36 b(dynamic)2000 43946 y(scaling)542 b(limit,)569 b(is)542 b(go)-36 b(v)g(erned)541 b(b)-36 b(y)541 b(deterministic)g 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y(densit)-36 b(y)606 b Fj(p)p Fm(\()p Fj(v)48 b Fm(\))605 b(that)g(v)-72 b(anishes)606 b(unless)g(0)p Fj(:)p Fm(5)663 b Fi(\024)g(j)p Fj(v)48 b Fi(j)662 b(\024)h Fm(1.)1096 b(W)-108 b(e)606 b(found)f(that)h(the)f(quiescen)-36 b(t)606 b(state)2000 18265 y(b)36 b(ecomes)594 b(unstable)f(after)i(a)f(few)h(\(5{10\))g (recollisions)g(of)g(eac)-36 b(h)594 b(gas)g(particle)h(with)f(the)f (piston.)2000 21475 y(The)468 b(system)g(then)e(dev)-36 b(elops)468 b(large)h(\(on)e(a)h(macroscopic)g(scale\))h(oscillatory)g (motions)f(whic)-36 b(h)468 b(last)2000 24685 y(for)456 b(a)f(long)g(time.)643 b(They)456 b(lo)36 b(ok)456 b(lik)-36 b(e)456 b(smo)36 b(oth)456 b(harmonic)e(oscillations)j(with)e(an)g (\(almost\))h(constan)-36 b(t)2000 27895 y(amplitude)406 b(and)g(piston)g(sp)36 b(eed)406 b(comparable)g(to)h(that)f(of)h(the)e (gas)j(particles.)569 b(Ev)-36 b(en)g(tually)-108 b(,)412 b(though,)2000 31106 y(the)345 b(oscillations)j(damp)36 b(en)345 b(and)g(v)-72 b(anish,)363 b(and)346 b(the)f(system)h(approac) -36 b(hes)345 b(a)h(stable)g(equilibrium)g(state)2000 34316 y(with)434 b(constan)-36 b(t)433 b(gas)h(densit)-36 b(y)433 b(and)g(Maxw)-36 b(ellian)436 b(v)-36 b(elo)36 b(cit)-36 b(y)435 b(distribution)37834 33834 y Fs(1)38359 34316 y Fm(.)3951 37526 y(Our)686 b(main)h(conclusions)g(from)h(the)e (n)-36 b(umerical)687 b(in)-36 b(v)g(estigations,)752 b(whic)-36 b(h)687 b(w)-36 b(e)687 b(also)h(\\deriv)-36 b(e")2000 40736 y(heuristically)-108 b(,)393 b(is)383 b(that)e(1\))h(while)h(the)f(dynamics)g(are)g(non)g(c)-36 b(haotic)382 b(in)g(the)g(tec)-36 b(hnical)382 b(sense)g(of)h(there) 2000 43946 y(b)36 b(eing)531 b(no)f(p)36 b(ositiv)-36 b(e)532 b(Ly)-36 b(apuno)g(v)531 b(exp)36 b(onen)-36 b(ts,)554 b(there)531 b(are)g(for)g(t)-36 b(ypical)531 b(initial)h(conditions)46897 43464 y Fs(2)47953 43946 y Fm(enough)p 2000 45112 20000 45 v 3496 45928 a Fk(1)3993 46330 y Fv(The)308 b(latter)h(is)e(of)i(course)e(exp)31 b(ected)308 b(on)g(general)h(grounds)e(for,)321 b(as)308 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b(cities\))441 b(when)d Fu(V)246 b Fv(\()p Fu(t)p Fv(\))424 b(=)f(0)438 b(at)i(all)2000 71967 y(times)426 b(and)f(so)g(the)h(sp)31 b(eed)424 b(of)i(gas)f(particles)h(nev)-31 b(er)425 b(c)-31 b(hanges.)661 b(W)-92 b(e)425 b(exp)31 b(ect)425 b(\(for)h(the)f(reasons)g(giv)-31 b(en)426 b(b)-31 b(y)426 b(Boltzman)26675 75417 y Fm(4)p eop %%Page: 5 5 5 4 bop 2000 5424 a Fm(in)-36 b(teractions)451 b(to)h(bring)f(the)f (system)i(to)f(equilibrium)h(along)g(\\in)-36 b(teresting")452 b(non)-36 b(trivial)452 b(path)-36 b(w)g(a)g(ys,)2000 8634 y(and)397 b(2\))g(that)f(the)h(time)g(of)g(onset)g(of)h(the)f (instabilit)-36 b(y)397 b(gro)-36 b(ws)398 b(with)f Fj(L)g Fm(as)g Fj(L)221 b Fm(log)241 b Fj(L)p Fm(.)566 b(This)398 b(means)e(that)2000 11844 y(ev)-36 b(en)443 b(on)g(the)g(h)-36 b(ydro)36 b(dynamical)443 b(scale)h Fj(\034)533 b Fm(=)385 b Fj(t=L)p Fm(,)446 b(the)c(deterministic)h(b)36 b(eha)-36 b(vior)444 b(in)f(whic)-36 b(h)442 b(nothing)2000 15055 y(happ)36 b(ens)572 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b(but,)e(as)h(exp)36 b(ected,)434 b(w)-36 b(e)434 b(still)g(get)g(an)f(approac)-36 b(h)433 b(to)h(Maxw)-36 b(ellian,)436 b(see)d(Section)h(7.)2000 37978 y Fl(2)2152 b(Description)716 b(of)h(the)f(mo)60 b(del)2000 42504 y Fm(Consider)377 b(a)h(cubical)g(con)-36 b(tainer)377 b(\003)19269 42703 y Fo(L)20333 42504 y Fm(=)368 b([0)p Fj(;)221 b(L)p Fm(])180 b Fi(\002)g Fm([0)p Fj(;)221 b(L)p Fm(])180 b Fi(\002)g Fm([0)p Fj(;)221 b(L)p Fm(])384 b(\014lled)377 b(with)g(an)h(ideal)g(gas)g(consisting) 2000 45714 y(of)454 b Fj(N)592 b Fm(particles.)639 b(The)454 b(con)-36 b(tainer)453 b(is)h(divided)g(in)-36 b(to)453 b(t)-36 b(w)g(o)454 b(parts)f(b)-36 b(y)454 b(a)g(w)-36 b(all)455 b(\(piston\))d(orthogonal)j(to)2000 48924 y(the)379 b Fj(x)g Fm(axis.)561 b(A)-36 b(t)379 b(time)h Fj(t)368 b Fm(=)h(0)380 b(the)e(w)-36 b(all)381 b(is)e(released)h(and)e(then)h (it)g(can)g(mo)-36 b(v)g(e)380 b(freely)g(without)f(friction)2000 52134 y(inside)504 b(\003)6666 52333 y Fo(L)7865 52134 y Fm(along)h(the)f 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Fj(x)p Fm(-axis)h(pla)-36 b(y)328 b(no)f(role)2000 68185 y(in)370 b(the)f(dynamics)h(of)h(the)e (piston,)383 b(w)-36 b(e)370 b(ma)-36 b(y)370 b(assume)g(that)g(eac)-36 b(h)369 b(particle)h(has)g(only)h(one)f(comp)36 b(onen)-36 b(t)p 2000 69351 20000 45 v 2000 71499 a Fv([B)q(]\))370 b(all)g(suc)-31 b(h)369 b(initial)j(states)d(to)h(b)31 b(e)369 b(unstable)h(with)g(resp)31 b(ect)369 b(to)h(generic)f(small)i (p)31 b(erturbations.)26675 75417 y Fm(5)p eop %%Page: 6 6 6 5 bop 2000 5424 a Fm(of)560 b(v)-36 b(elo)36 b(cit)-36 b(y)-108 b(,)592 b Fj(v)48 b Fm(,)590 b(directed)558 b(along)i(the)e Fj(x)p Fm(-axis.)956 b(Hence,)590 b(eac)-36 b(h)559 b(gas)h(particle)f(can)g(b)36 b(e)559 b(sp)36 b(eci\014ed)558 b(b)-36 b(y)2000 8634 y(a)511 b(pair)g(\()p Fj(x)7157 8833 y Fo(i)7533 8634 y Fj(;)221 b(v)8744 8833 y Fo(i)9120 8634 y Fm(\),)530 b(where)511 b Fj(i)500 b Fm(=)g(1)p Fj(;)221 b(:)g(:)g(:)k(;)c(N)139 b Fm(.)810 b(W)-108 b(e)511 b(shall)g(tak)-36 b(e)511 b(the)g(total)g(n)-36 b(um)g(b)36 b(er)510 b(of)h(particles)g Fj(N)649 b Fm(and)2000 11844 y(the)501 b(total)i(kinetic)f(energy)g(of)h(the)e(system)h(prop) 36 b(ortional)502 b(to)g Fj(L)34332 11362 y Fs(3)34858 11844 y Fm(;)536 b(and)501 b(w)-36 b(e)502 b(are)g(in)-36 b(terested)501 b(in)h(the)2000 15055 y(b)36 b(eha)-36 b(vior)434 b(of)g(the)f(system)h(for)g Fj(L)369 b Fi(\035)h Fm(1.)3951 18265 y(The)505 b(initial)g(con\014guration)g(of)g(gas)h (particles)f(and)f(their)h(v)-36 b(elo)36 b(cities)506 b Fi(f)p Fm(\()p Fj(x)40990 18464 y Fo(i)41366 18265 y Fj(;)221 b(v)42577 18464 y Fo(i)42953 18265 y Fm(\))p Fi(g)44123 17783 y Fo(N)44123 18593 y(i)p Fs(=1)46206 18265 y Fm(is)505 b(selected)2000 21475 y(at)402 b(random)f(with)h (statistics)g(giv)-36 b(en)402 b(b)-36 b(y)402 b(a)f(\(t)-36 b(w)g(o-dimensional\))402 b(P)-36 b(oisson)402 b(pro)36 b(cess)402 b(on)f(the)g Fj(x;)221 b(v)450 b Fm(plane)2000 24685 y(with)455 b(a)h(giv)-36 b(en)456 b(densit)-36 b(y)-108 b(,)460 b Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))406 b(=)g Fj(L)20647 24203 y Fs(2)21394 24685 y Fj(p)p Fm(\()p Fj(v)48 b Fm(\).)642 b(More)456 b(precisely)-108 b(,)461 b(for)456 b(an)-36 b(y)456 b(domain)f Fj(D)442 b Fi(\032)406 b Fm([0)p Fj(;)221 b(L)p Fm(])312 b Fi(\002)e Fm(I)-260 b(R)51474 24128 y Fs(1)2000 27895 y Fm(the)469 b(n)-36 b(um)g(b)36 b(er)467 b(of)j(particles)g(in)f Fj(D)36 b Fm(,)479 b(i.e.)686 b Fj(N)22705 28094 y Fo(D)23988 27895 y Fm(=)429 b(#)p Fi(f)p Fj(i)h Fm(:)651 b(\()p Fj(x)30308 28094 y Fo(i)30684 27895 y Fj(;)221 b(v)31895 28094 y Fo(i)32271 27895 y Fm(\))429 b Fi(2)h Fj(D)36 b Fi(g)p Fm(,)478 b(has)470 b(a)f(P)-36 b(oisson)470 b(distribution)2000 31106 y(with)434 b(parameter)20883 34316 y Fj(\025)21642 34515 y Fo(D)22864 34316 y Fm(=)368 b Fj(L)25129 33767 y Fs(2)25877 32754 y Fg(Z)26492 35269 y Fo(D)27566 34316 y Fj(p)p Fm(\()p Fj(v)48 b Fm(\))221 b Fj(dx)g(dv)2000 38245 y Fm(That)434 b(is,)g(for)g(eac)-36 b(h)433 b Fj(k)415 b Fi(\025)369 b Fm(0,)20538 41456 y Fj(P)181 b Fm(\()p Fj(N)23105 41655 y Fo(D)24327 41456 y Fm(=)368 b Fj(k)45 b Fm(\))369 b(=)28817 40557 y Fj(\025)29576 40075 y Fo(k)29576 40885 y(D)p 28817 41146 1613 45 v 29082 42367 a Fj(k)45 b Fm(!)30783 41456 y Fj(e)31386 40907 y Ff(\000)p Fo(\025)32667 41056 y Fe(D)2000 45385 y Fm(The)624 b(n)-36 b(um)g(b)36 b(ers)623 b(of)i(particles)f(in)g (nono)-36 b(v)g(erlapping)624 b(domains)h(are)f(indep)36 b(enden)-36 b(t.)1148 b(The)624 b(function)2000 48596 y Fj(p)p Fm(\()p Fj(v)48 b Fm(\))368 b(=)g Fj(p)p Fm(\()p Fi(\000)p Fj(v)48 b Fm(\))407 b(tak)-36 b(es)407 b(v)-72 b(alues)408 b(of)f(order)g(one,)413 b(and)406 b(the)h(factor)g(of)h Fj(L)35322 48113 y Fs(2)36255 48596 y Fm(is)f(simply)h(the)e (cross-sectional)2000 51806 y(area)512 b(of)g(the)f(con)-36 b(tainer)511 b(\003)15426 52005 y Fo(L)16122 51806 y Fm(.)812 b(The)511 b(piston)g(is)h(initially)h(at)f(rest)f(at)h(the)f (midp)36 b(oin)-36 b(t,)530 b Fj(X)104 b Fm(\(0\))503 b(=)e Fj(L=)p Fm(2,)2000 55016 y Fj(V)289 b Fm(\(0\))369 b(=)g(0)434 b(and)f(the)g(p)36 b(osition)434 b(and)f(v)-36 b(elo)36 b(cit)-36 b(y)435 b(at)f(time)f Fj(t)h Fm(are)f(denoted)g(b) -36 b(y)434 b Fj(X)104 b Fm(,)434 b(0)370 b Fi(\024)f Fj(X)474 b Fi(\024)369 b Fj(L)p Fm(,)434 b(and)f Fj(V)289 b Fm(.)3951 58226 y(W)-108 b(e)428 b(note)g(that)f(the)h(total)h(n)-36 b(um)g(b)36 b(er)426 b(of)j(gas)g(particles)f Fj(N)566 b Fm(in)428 b(the)g(con)-36 b(tainer)427 b(is)i(random.)576 b(So)428 b(are)2000 61436 y(the)407 b(n)-36 b(um)g(b)36 b(ers)406 b(of)i(particles)f(to)h(the)f(left)h(and)e(to)i(the)f(righ) -36 b(t)407 b(of)h(the)f(piston,)412 b(call)c(them)f Fj(N)46113 61635 y Ff(\000)47307 61436 y Fm(and)g Fj(N)50852 61635 y Fs(+)51639 61436 y Fm(,)2000 64646 y(resp)36 b(ectiv)-36 b(ely)440 b(\()p Fj(N)516 b Fm(=)378 b Fj(N)13590 64845 y Ff(\000)14675 64646 y Fm(+)299 b Fj(N)17028 64845 y Fs(+)17815 64646 y Fm(\).)594 b(The)439 b(initial)h(total)f(kinetic)h (energy)f(of)h(the)e(system,)45770 64123 y Fs(1)p 45770 64337 471 45 v 45770 65105 a(2)46594 63761 y Fg(P)47984 64646 y Fj(mv)49799 64164 y Fs(2)49751 64975 y Fo(i)50324 64646 y Fm(,)j(is)2000 67857 y(also)448 b(a)f(random)f(v)-72 b(ariable.)619 b(Once)446 b(c)-36 b(hosen,)450 b(the)d(v)-72 b(alues)447 b(of)g Fj(N)32477 68056 y Ff(\000)33264 67857 y Fj(;)221 b(N)34888 68056 y Fs(+)36122 67857 y Fm(and)447 b(the)f(total)h(kinetic)h(energy)2000 71067 y Fj(E)511 b Fm(of)435 b(gas)f(plus)f(piston)g(are)h(\(presumably)-108 b(,)433 b(the)g(only\))h(in)-36 b(tegrals)434 b(of)g(motion.)26675 75417 y(6)p eop %%Page: 7 7 7 6 bop 3951 5424 a Fm(The)412 b(gas)h(particles)g(and)e(the)h(piston)g (mo)-36 b(v)g(e)413 b(freely)g(\(with)f(constan)-36 b(t)412 b(v)-36 b(elo)36 b(cit)-36 b(y\))413 b(b)36 b(et)-36 b(w)g(een)412 b(elastic)2000 8634 y(collisions)417 b(of)f(particles)f (with)h(the)e(piston)h(and)g(the)g(w)-36 b(alls.)573 b(When)415 b(a)g(particle)h(collides)g(with)f(a)h(w)-36 b(all)2000 11844 y(at)543 b Fj(x)556 b Fm(=)f(0)543 b(or)g Fj(x)556 b Fm(=)f Fj(L)p Fm(,)571 b(its)543 b(v)-36 b(elo)36 b(cit)-36 b(y)545 b(simply)e(rev)-36 b(erses.)908 b(If)543 b(a)h(particle)f(with)g(v)-36 b(elo)36 b(cit)-36 b(y)545 b Fj(v)591 b Fm(hits)543 b(the)2000 15055 y(piston)471 b(whose)g(v)-36 b(elo)36 b(cit)-36 b(y)472 b(is)g Fj(V)289 b Fm(,)480 b(then)470 b(their)h(v)-36 b(elo)36 b(cities)473 b(after)e(the)f(collision,)482 b(call)472 b(them)f Fj(v)46934 14573 y Ff(0)47714 15055 y Fm(and)g Fj(V)51328 14573 y Ff(0)51639 15055 y Fm(,)2000 18265 y(resp)36 b(ectiv)-36 b(ely)-108 b(,)435 b(are)e(giv)-36 b(en)434 b(b)-36 b(y)21532 21475 y Fj(V)22579 20927 y Ff(0)23259 21475 y Fm(=)368 b(\(1)296 b Fi(\000)f Fj(")p Fm(\))p Fj(V)584 b Fm(+)295 b Fj("v)16905 b Fm(\(2.1\))19558 25405 y Fj(v)20235 24856 y Ff(0)20914 25405 y Fm(=)369 b Fi(\000)p Fm(\(1)295 b Fi(\000)h Fj(")p Fm(\))p Fj(v)342 b Fm(+)294 b(\(2)i Fi(\000)f Fj(")p Fm(\))p Fj(V)15173 b Fm(\(2.2\))2000 29334 y(where)19689 32545 y Fj(")369 b Fm(=)23355 31646 y(2)p Fj(m)p 22180 32235 4137 45 v 22180 33456 a(M)434 b Fm(+)295 b Fj(m)26819 32545 y Fm(=)28199 30928 y Fg(\022)30930 31646 y Fm(2)p 29147 32235 4217 45 v 29147 33456 a Fj(bL)30585 33072 y Fs(2)31406 33456 y Fm(+)g(1)33496 30928 y Fg(\023)49326 32545 y Fm(\(2.3\))3951 36474 y(In)420 b(order)g(to)g(a)-36 b(v)g(oid)421 b(recollisions)h(of)f(gas)g(particles)f(with)g(the)g (piston,)j(for)e(at)f(least)h(some)f(initial)2000 39685 y(p)36 b(erio)g(d)434 b(of)g(time,)g(w)-36 b(e)434 b(imp)36 b(ose)434 b(a)f(v)-36 b(elo)36 b(cit)-36 b(y)436 b(cuto\013)26251 39202 y Fs(3)14184 44223 y Fj(p)p Fm(\()p Fj(v)48 b Fm(\))368 b Fi(\021)h Fm(0)2601 b(if)1828 b Fi(j)p Fj(v)48 b Fi(j)368 b(\025)h Fj(v)27947 44422 y Fs(max)31488 44223 y Fm(or)1734 b Fi(j)p Fj(v)48 b Fi(j)369 b(\024)g Fj(v)38193 44422 y Fs(min)49326 44223 y Fm(\(2.4\))2000 48762 y(with)539 b(some)g(0)549 b Fj(<)f(v)11820 48961 y Fs(min)13991 48762 y Fj(<)g(v)16180 48961 y Fs(max)18535 48762 y Fj(<)g Fi(1)p Fm(,)566 b(cf.)895 b([CLS)o(,)540 b(LPS)o(].)895 b(Under)538 b(these)g(conditions,)565 b(there)539 b(will)2000 51972 y(b)36 b(e)487 b(an)h(initial)g(time)g(in)-36 b(terv)-72 b(al)487 b(of)i(length)e Fj(O)36 b Fm(\()p Fj(L)p Fm(\))487 b(during)g(whic)-36 b(h)487 b(eac)-36 b(h)488 b(particle)f(colliding)i (with)f(the)2000 55182 y(piston)494 b(will)i(ha)-36 b(v)g(e)495 b(to)f(tra)-36 b(v)g(el)495 b(to)g(the)f(w)-36 b(all,)511 b(b)36 b(ounce)494 b(o\013)g(it,)510 b(and)494 b(then)g(tra)-36 b(v)g(el)495 b(bac)-36 b(k)495 b(to)f(the)g(piston)2000 58392 y(b)36 b(efore)516 b(it)g(can)g(hit)f(it)h(again.)825 b(Therefore,)538 b(during)514 b(that)i(in)-36 b(terv)-72 b(al,)536 b(there)515 b(will)i(b)36 b(e)516 b(no)g(recollisions)2000 61602 y(of)456 b(an)-36 b(y)455 b(gas)h(particle)f(with)g(the)g (piston.)642 b(W)-108 b(e)456 b(call)g(suc)-36 b(h)454 b(an)h(in)-36 b(terv)-72 b(al)455 b(of)h(time)f(the)g(zero-recollision) 2000 64813 y(in)-36 b(terv)-72 b(al.)745 b(Lik)-36 b(ewise,)504 b(if)490 b(the)e(piston)g(remains)h(slo)-36 b(w)490 b(enough)f(after)g (recollisions)h(o)36 b(ccur,)503 b(there)489 b(will)p 2000 65979 20000 45 v 3496 66794 a Fk(3)3993 67196 y Fv(As)393 b(explained)j(in)e(Section)h(7,)401 b(the)394 b(c)-31 b(hoice)395 b(of)g Fu(p)p Fv(\()p Fu(v)40 b Fv(\))394 b(pla)-31 b(ys)394 b(an)h(imp)31 b(ortan)-31 b(t)396 b(role)e(in)g(the)h(later)f(time)i(ev)-31 b(olution)396 b(of)2000 69853 y(the)369 b(system.)26675 75417 y Fm(7)p eop %%Page: 8 8 8 7 bop 2000 5424 a Fm(b)36 b(e)380 b(another)g(in)-36 b(terv)-72 b(al)380 b(of)h(time)f(of)h(order)f Fj(L)g Fm(during)f(whic)-36 b(h)380 b(eac)-36 b(h)380 b(gas)h(particle)f(exp) 36 b(eriences)381 b(at)f(most)2000 8634 y(one)434 b(recollision)h(with) e(the)g(piston.)578 b(W)-108 b(e)434 b(call)g(it)g(the)f (one-recollision)i(in)-36 b(terv)-72 b(al.)3951 11844 y(The)417 b Ft(hydr)-66 b(o)g(dynamic)449 b(limit)415 b Fm(is)j(no)-36 b(w)417 b(obtained)g(b)-36 b(y)417 b(rescaling)h (space,)j Fj(y)416 b Fm(=)369 b Fj(x=L)p Fm(,)421 b(0)369 b Fj(<)g(y)417 b(<)368 b Fm(1,)421 b(and)2000 15055 y(time,)518 b Fj(\034)631 b Fm(=)483 b Fj(t=L)p Fm(.)779 b(In)501 b(the)f(new)h(space-time)f(co)36 b(ordinates)501 b Fj(y)48 b(;)221 b(\034)650 b Fm(the)500 b(zero-recollision)i(in)-36 b(terv)-72 b(al)500 b(and)2000 18265 y(the)477 b(one-recollision)h(in) -36 b(terv)-72 b(al)477 b(will)i(b)36 b(e)476 b(of)i(order)f(one,)488 b(and)477 b(w)-36 b(e)478 b(will)g(denote)e(them)h(b)-36 b(y)477 b(\(0)p Fj(;)221 b(\034)48395 18464 y Fs(0)48922 18265 y Fm(\))476 b(and)2000 21475 y(\()p Fj(\034)3071 21674 y Fs(0)3596 21475 y Fj(;)221 b(\034)4743 21674 y Fs(1)5270 21475 y Fm(\))482 b(resp)36 b(ectiv)-36 b(ely)-108 b(.)727 b(As)483 b(already)h(men)-36 b(tioned,)494 b(w)-36 b(e)483 b(pro)-36 b(v)g(e)483 b(in)g([CLS],)496 b(for)483 b(a)g(more)g(general)g(class)2000 24685 y(of)434 b(initial)h(densities) e Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))433 b(that)h(during)e(the)h (in)-36 b(terv)-72 b(al)434 b(\(0)p Fj(;)221 b(\034)32801 24884 y Fs(1)33328 24685 y Fm(\))433 b(the)g(functions)g Fj(Y)42869 24884 y Fo(L)43564 24685 y Fm(\()p Fj(\034)148 b Fm(\))434 b(and)f Fj(W)49480 24884 y Fo(L)50175 24685 y Fm(\()p Fj(\034)148 b Fm(\))11893 29224 y Fj(Y)12648 29423 y Fo(L)13343 29224 y Fm(\()p Fj(\034)g Fm(\))369 b(=)g Fj(X)104 b Fm(\()p Fj(\034)148 b(L)p Fm(\))p Fj(=L;)4558 b(W)28293 29423 y Fo(L)28988 29224 y Fm(\()p Fj(\034)148 b Fm(\))369 b(=)g Fj(d)72 b(Y)33966 29423 y Fo(L)34661 29224 y Fj(=d\034)517 b Fm(=)369 b Fj(V)289 b Fm(\()p Fj(\034)148 b(L)p Fm(\))2000 33762 y(con)-36 b(v)g(erge)441 b(uniformly)h(in)f(probabilit)-36 b(y)-108 b(,)443 b(as)e Fj(L)381 b Fi(!)h(1)p Fm(,)444 b(to)d(some)g(deterministic)f(functions) 46892 33427 y(\026)46695 33762 y Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))440 b(and)2379 36637 y(\026)2000 36972 y Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\);)6331 36637 y(\026)5952 36972 y Fj(W)630 b Fm(satis\014es)449 b(a)g(certain)h(algebraic)g (equation)g(and)e Fj(d)32318 36637 y Fm(\026)32121 36972 y Fj(Y)289 b(=d\034)544 b Fm(=)37386 36637 y(\026)37007 36972 y Fj(W)181 b Fm(.)625 b(In)449 b(the)g(case)h(considered)2000 40183 y(here,)663 b(when)617 b(the)g(densit)-36 b(y)617 b(function)g Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))617 b(is)h(indep)36 b(enden)-36 b(t)615 b(of)j Fj(x)f Fm(and)g(symmetric)h (in)f Fj(v)48 b Fm(,)663 b(i.e.)2000 43393 y Fj(p)p Fm(\()p Fj(v)48 b Fm(\))523 b(=)h Fj(p)p Fm(\()p Fi(\000)p Fj(v)48 b Fm(\))524 b(for)h(all)h Fj(x;)221 b(v)48 b Fm(,)548 b(then)524 b(the)h(h)-36 b(ydro)36 b(dynamic)524 b(ev)-36 b(olution)526 b(is)f(trivial:)43064 43057 y(\026)42867 43393 y Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))524 b Fi(\021)h Fm(0)p Fj(:)p Fm(5)g(and)2379 46267 y(\026)2000 46603 y Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))431 b Fi(\021)h Fm(0)471 b(for)g(all)g Fj(\034)580 b(>)431 b Fm(0.)690 b(Hence,)479 b Fj(Y)21334 46802 y Fo(L)22029 46603 y Fm(\()p Fj(\034)148 b Fm(\))432 b Fi(!)g Fm(0)p Fj(:)p Fm(5)471 b(and)f Fj(W)31872 46802 y Fo(L)32567 46603 y Fm(\()p Fj(\034)148 b Fm(\))432 b Fi(!)g Fm(0)471 b(as)f Fj(L)432 b Fi(!)g(1)p Fm(,)480 b(uniformly)471 b(for)2000 49813 y(all)434 b Fj(\034)518 b Fi(2)368 b Fm(\(0)p Fj(;)221 b(\034)8446 50012 y Fs(1)8973 49813 y Fm(\).)3951 53023 y(In)307 b(this)g(pap)36 b(er)306 b(w)-36 b(e)308 b(in)-36 b(v)g(estigate)307 b(n)-36 b(umerically)308 b(what)f(happ)36 b(ens)306 b(to)h Fj(Y)36719 53222 y Fo(L)37414 53023 y Fm(\()p Fj(\034)148 b Fm(\))307 b(and)g Fj(W)43077 53222 y Fo(L)43772 53023 y Fm(\()p Fj(\034)148 b Fm(\))307 b(b)36 b(ey)-36 b(ond)307 b(the)2000 56234 y(in)-36 b(terv)-72 b(al)295 b(\(0)p Fj(;)221 b(\034)8861 56433 y Fs(1)9388 56234 y Fm(\).)531 b(More)295 b(precisely)-108 b(,)323 b(for)296 b(ho)-36 b(w)295 b(long)g(do)36 b(es)295 b(the)f(sto)36 b(c)-36 b(hastic)295 b(tra)72 b(jectory)296 b Fi(f)p Fj(Y)44685 56433 y Fo(L)45380 56234 y Fm(\()p Fj(\034)148 b Fm(\))p Fj(;)221 b(W)48915 56433 y Fo(L)49611 56234 y Fm(\()p Fj(\034)148 b Fm(\))p Fi(g)2000 59444 y Fm(remain)474 b(close)i(to)e(the)g(deterministic)g(one)g Fi(f)24764 59108 y Fm(\026)24384 59444 y Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))p Fj(;)28297 59108 y Fm(\026)28100 59444 y Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))p Fi(g)p Fm(?)701 b(And)474 b(what)g(do)36 b(es)475 b(it)f(lo)36 b(ok)476 b(lik)-36 b(e)475 b(in)g(the)2000 62654 y(long)434 b(run?)26675 75417 y(8)p eop %%Page: 9 9 9 8 bop 2000 5424 a Fl(3)2152 b(Numerical)716 b(results)2000 9950 y Fm(In)433 b(the)g(computer)g(sim)-36 b(ulations)434 b(describ)36 b(ed)433 b(here)g(and)g(in)h(Sections)f(4-6,)h(w)-36 b(e)434 b(set)15764 15189 y Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))369 b(=)g Fj(p)p Fm(\()p Fj(v)48 b Fm(\))368 b(=)25267 11868 y Fg(8)25267 12865 y(>)25267 13197 y(>)25267 13529 y(>)25267 13861 y(<)25267 15854 y(>)25267 16186 y(>)25267 16518 y(>)25267 16850 y(:)26805 13894 y Fm(1)1107 b(if)960 b(0)p Fj(:)p Fm(5)370 b Fi(\024)f(j)p Fj(v)48 b Fi(j)369 b(\024)g Fm(1)26805 17104 y(0)1107 b(elsewhere)49326 15189 y(\(3.1\))2000 20429 y(so)617 b Fj(v)4409 20628 y Fs(min)6713 20429 y Fm(=)680 b(0)p Fj(:)p Fm(5)617 b(and)f Fj(v)14024 20628 y Fs(max)16511 20429 y Fm(=)680 b(1.)1128 b(The)617 b Fj(x)f 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b(P)-36 b(erformance)472 b(F)-108 b(ortran\))471 b(on)h(a)h(Dell)g(P)-36 b(o)g(w)g(er)472 b(Edge)g(mac)-36 b(hine)472 b(with)g(Dual)g(733MHz)h(pro)36 b(ces-)26675 75417 y(9)p eop %%Page: 10 10 10 9 bop 2000 5424 a Fm(sors)375 b(at)g(the)f(Univ)-36 b(ersit)g(y)375 b(of)h(Alabama)f(in)g(Birmingham.)558 b(Our)374 b(co)36 b(de)375 b(is)g(a)-36 b(v)-72 b(ailable)376 b(on)f(the)f(w)-36 b(eb)375 b(page)2000 8634 y(referred)433 b(to)h(in)f(the)g(next)h(section.)3951 11844 y(Figure)429 b(1)h(presen)-36 b(ts)429 b(a)h(t)-36 b(ypical)430 b(tra)72 b(jectory)431 b(of)f(the)f(piston.)577 b(Here)429 b Fj(L)369 b Fm(=)g(100.)578 b(The)430 b(p)36 b(osition)429 b(and)2000 15055 y(time)434 b(are)f(measured)g(in)h(h)-36 b(ydro)36 b(dynamic)433 b(v)-72 b(ariables)435 b Fj(Y)658 b Fm(=)368 b Fj(X)l(=L)p Fm(,)435 b(0)369 b Fj(<)g(Y)657 b(<)369 b Fm(1,)434 b(and)f Fj(\034)517 b Fm(=)369 b Fj(t=L)p Fm(.)4000 30714 y @beginspecial 93 @llx 329 @lly 507 @urx 453 @ury 4140 @rwi @setspecial %%BeginDocument: 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NP 14596 3047 m 14600 3068 l S NP 14591 3025 m 14596 3047 l S NP 14587 3001 m 14591 3025 l S NP 14582 2976 m 14587 3001 l S NP 14578 2950 m 14582 2976 l S NP 14573 2923 m 14578 2950 l S NP 14569 2896 m 14573 2923 l S NP 14564 2869 m 14569 2896 l S NP 14560 2841 m 14564 2869 l S NP 14555 2812 m 14560 2841 l S NP 14551 2783 m 14555 2812 l S NP 14546 2753 m 14551 2783 l S NP 14542 2722 m 14546 2753 l S NP 14537 2691 m 14542 2722 l S NP 14533 2659 m 14537 2691 l S NP 14528 2626 m 14533 2659 l S NP 14524 2593 m 14528 2626 l S NP 14519 2558 m 14524 2593 l S NP 14515 2522 m 14519 2558 l S NP 14510 2485 m 14515 2522 l S NP 14506 2447 m 14510 2485 l S NP 14501 2410 m 14506 2447 l S NP 14497 2373 m 14501 2410 l S NP 14492 2336 m 14497 2373 l S NP 14488 2299 m 14492 2336 l S NP 14483 2262 m 14488 2299 l S NP 14479 2226 m 14483 2262 l S NP 14474 2191 m 14479 2226 l S NP 14470 2157 m 14474 2191 l S NP 14465 2125 m 14470 2157 l S NP 14461 2093 m 14465 2125 l S NP 14456 2061 m 14461 2093 l S NP 14452 2029 m 14456 2061 l S NP 14447 1998 m 14452 2029 l S NP 14443 1968 m 14447 1998 l S NP 14439 1937 m 14443 1968 l S NP 14434 1907 m 14439 1937 l S NP 14430 1878 m 14434 1907 l S NP 14425 1849 m 14430 1878 l S NP 14421 1821 m 14425 1849 l S NP 14416 1794 m 14421 1821 l S NP 14412 1769 m 14416 1794 l S NP 14407 1745 m 14412 1769 l S NP 14403 1721 m 14407 1745 l S NP 14398 1698 m 14403 1721 l S NP 14394 1677 m 14398 1698 l S NP 14389 1656 m 14394 1677 l S NP 14385 1636 m 14389 1656 l S NP 14380 1616 m 14385 1636 l S NP 14376 1598 m 14380 1616 l S NP 14371 1582 m 14376 1598 l S NP 14367 1569 m 14371 1582 l S NP 14362 1556 m 14367 1569 l S NP 14358 1545 m 14362 1556 l S NP 14353 1536 m 14358 1545 l S NP 14349 1528 m 14353 1536 l S NP 14344 1521 m 14349 1528 l S NP 14340 1515 m 14344 1521 l S NP 14335 1510 m 14340 1515 l S NP 14331 1505 m 14335 1510 l S NP 14326 1501 m 14331 1505 l S NP 14322 1498 m 14326 1501 l S NP 14317 1495 m 14322 1498 l S NP 14313 1493 m 14317 1495 l S NP 14308 1492 m 14313 1493 l S NP 14304 1492 m 14308 1492 l S NP 14299 1492 m 14304 1492 l S NP 14295 1493 m 14299 1492 l S NP 14290 1496 m 14295 1493 l S NP 14286 1500 m 14290 1496 l S NP 14281 1504 m 14286 1500 l S NP 14277 1510 m 14281 1504 l S NP 14272 1515 m 14277 1510 l S NP 14268 1521 m 14272 1515 l S NP 14264 1530 m 14268 1521 l S NP 14259 1541 m 14264 1530 l S NP 14255 1553 m 14259 1541 l S NP 14250 1565 m 14255 1553 l S NP 14246 1578 m 14250 1565 l S NP 14241 1593 m 14246 1578 l S NP 14237 1612 m 14241 1593 l S NP 14232 1632 m 14237 1612 l S NP 14228 1653 m 14232 1632 l S NP 14223 1676 m 14228 1653 l S NP 14219 1699 m 14223 1676 l S NP 14214 1721 m 14219 1699 l S NP 14210 1745 m 14214 1721 l S NP 14205 1770 m 14210 1745 l S NP 14201 1796 m 14205 1770 l S NP 14196 1822 m 14201 1796 l S NP 14192 1851 m 14196 1822 l S NP 14187 1881 m 14192 1851 l S NP 14183 1912 m 14187 1881 l S NP 14178 1943 m 14183 1912 l S NP 14174 1972 m 14178 1943 l S NP 14169 2003 m 14174 1972 l S NP 14165 2035 m 14169 2003 l S NP 14160 2066 m 14165 2035 l S NP 14156 2098 m 14160 2066 l S NP 14151 2131 m 14156 2098 l S NP 14147 2165 m 14151 2131 l S NP 14142 2200 m 14147 2165 l S NP 14138 2234 m 14142 2200 l S NP 14133 2267 m 14138 2234 l S NP 14129 2300 m 14133 2267 l S NP 14124 2333 m 14129 2300 l S NP 14120 2366 m 14124 2333 l S NP 14115 2400 m 14120 2366 l S NP 14111 2433 m 14115 2400 l S NP 14106 2466 m 14111 2433 l S NP 14102 2500 m 14106 2466 l S NP 14097 2532 m 14102 2500 l S NP 14093 2565 m 14097 2532 l S NP 14089 2599 m 14093 2565 l S NP 14084 2632 m 14089 2599 l S NP 14080 2664 m 14084 2632 l S NP 14075 2694 m 14080 2664 l S NP 14071 2724 m 14075 2694 l S NP 14066 2754 m 14071 2724 l S NP 14062 2784 m 14066 2754 l S NP 14057 2813 m 14062 2784 l S NP 14053 2840 m 14057 2813 l S NP 14048 2865 m 14053 2840 l S NP 14044 2890 m 14048 2865 l S NP 14039 2914 m 14044 2890 l S NP 14035 2937 m 14039 2914 l S NP 14030 2961 m 14035 2937 l S NP 14026 2984 m 14030 2961 l S NP 14021 3006 m 14026 2984 l S NP 14017 3027 m 14021 3006 l S NP 14012 3048 m 14017 3027 l S NP 14008 3069 m 14012 3048 l S NP 14003 3089 m 14008 3069 l S NP 13999 3107 m 14003 3089 l S NP 13994 3126 m 13999 3107 l S NP 13990 3143 m 13994 3126 l S NP 13985 3159 m 13990 3143 l S NP 13981 3173 m 13985 3159 l S NP 13976 3184 m 13981 3173 l S NP 13972 3194 m 13976 3184 l S NP 13967 3205 m 13972 3194 l S NP 13963 3214 m 13967 3205 l S NP 13958 3223 m 13963 3214 l S NP 13954 3229 m 13958 3223 l S NP 13949 3236 m 13954 3229 l S NP 13945 3240 m 13949 3236 l S NP 13940 3243 m 13945 3240 l S NP 13936 3244 m 13940 3243 l S NP 13931 3242 m 13936 3244 l S NP 13927 3239 m 13931 3242 l S NP 13923 3232 m 13927 3239 l S NP 13918 3226 m 13923 3232 l S NP 13914 3220 m 13918 3226 l S NP 13909 3213 m 13914 3220 l S NP 13905 3206 m 13909 3213 l S NP 13900 3197 m 13905 3206 l S NP 13896 3187 m 13900 3197 l S NP 13891 3175 m 13896 3187 l S NP 13887 3160 m 13891 3175 l S NP 13882 3144 m 13887 3160 l S NP 13878 3127 m 13882 3144 l S NP 13873 3110 m 13878 3127 l S NP 13869 3091 m 13873 3110 l S NP 13864 3071 m 13869 3091 l S NP 13860 3049 m 13864 3071 l S NP 13855 3026 m 13860 3049 l S NP 13851 3003 m 13855 3026 l S NP 13846 2977 m 13851 3003 l S NP 13842 2951 m 13846 2977 l S NP 13837 2923 m 13842 2951 l S NP 13833 2893 m 13837 2923 l S NP 13828 2863 m 13833 2893 l S NP 13824 2835 m 13828 2863 l S NP 13819 2807 m 13824 2835 l S NP 13815 2778 m 13819 2807 l S NP 13810 2746 m 13815 2778 l S NP 13806 2714 m 13810 2746 l S NP 13801 2680 m 13806 2714 l S NP 13797 2646 m 13801 2680 l S NP 13792 2611 m 13797 2646 l S NP 13788 2577 m 13792 2611 l S NP 13783 2542 m 13788 2577 l S NP 13779 2507 m 13783 2542 l S NP 13774 2473 m 13779 2507 l S NP 13770 2439 m 13774 2473 l S NP 13765 2404 m 13770 2439 l S NP 13761 2369 m 13765 2404 l S NP 13756 2333 m 13761 2369 l S NP 13752 2299 m 13756 2333 l S NP 13748 2263 m 13752 2299 l S NP 13743 2228 m 13748 2263 l S NP 13739 2191 m 13743 2228 l S NP 13734 2155 m 13739 2191 l S NP 13730 2120 m 13734 2155 l S NP 13725 2085 m 13730 2120 l S NP 13721 2050 m 13725 2085 l S NP 13716 2015 m 13721 2050 l S NP 13712 1982 m 13716 2015 l S NP 13707 1949 m 13712 1982 l S NP 13703 1917 m 13707 1949 l S NP 13698 1885 m 13703 1917 l S NP 13694 1854 m 13698 1885 l S NP 13689 1825 m 13694 1854 l S NP 13685 1796 m 13689 1825 l S NP 13680 1769 m 13685 1796 l S NP 13676 1743 m 13680 1769 l S NP 13671 1720 m 13676 1743 l S NP 13667 1698 m 13671 1720 l S NP 13662 1676 m 13667 1698 l S NP 13658 1655 m 13662 1676 l S NP 13653 1634 m 13658 1655 l S NP 13649 1615 m 13653 1634 l S NP 13644 1597 m 13649 1615 l S NP 13640 1579 m 13644 1597 l S NP 13635 1564 m 13640 1579 l S NP 13631 1550 m 13635 1564 l S NP 13626 1536 m 13631 1550 l S NP 13622 1523 m 13626 1536 l S NP 13617 1512 m 13622 1523 l S NP 13613 1503 m 13617 1512 l S NP 13608 1495 m 13613 1503 l S NP 13604 1490 m 13608 1495 l S NP 13599 1485 m 13604 1490 l S NP 13595 1482 m 13599 1485 l S NP 13590 1479 m 13595 1482 l S NP 13586 1477 m 13590 1479 l S NP 13581 1476 m 13586 1477 l S NP 13577 1475 m 13581 1476 l S NP 13573 1477 m 13577 1475 l S NP 13568 1478 m 13573 1477 l S NP 13564 1481 m 13568 1478 l S NP 13559 1487 m 13564 1481 l S NP 13555 1494 m 13559 1487 l S NP 13550 1501 m 13555 1494 l S NP 13546 1510 m 13550 1501 l S NP 13541 1520 m 13546 1510 l S NP 13537 1530 m 13541 1520 l S NP 13532 1542 m 13537 1530 l S NP 13528 1554 m 13532 1542 l S NP 13523 1567 m 13528 1554 l S NP 13519 1579 m 13523 1567 l S NP 13514 1592 m 13519 1579 l S NP 13510 1606 m 13514 1592 l S NP 13505 1623 m 13510 1606 l S NP 13501 1643 m 13505 1623 l S NP 13496 1664 m 13501 1643 l S NP 13492 1684 m 13496 1664 l S NP 13487 1705 m 13492 1684 l S NP 13483 1729 m 13487 1705 l S NP 13478 1753 m 13483 1729 l S NP 13474 1779 m 13478 1753 l S NP 13469 1804 m 13474 1779 l S NP 13465 1830 m 13469 1804 l S NP 13460 1856 m 13465 1830 l S NP 13456 1882 m 13460 1856 l S NP 13451 1908 m 13456 1882 l S NP 13447 1935 m 13451 1908 l S NP 13442 1963 m 13447 1935 l S NP 13438 1991 m 13442 1963 l S NP 13433 2021 m 13438 1991 l S NP 13429 2052 m 13433 2021 l S NP 13424 2083 m 13429 2052 l S NP 13420 2114 m 13424 2083 l S NP 13415 2146 m 13420 2114 l S NP 13411 2178 m 13415 2146 l S NP 13407 2210 m 13411 2178 l S NP 13402 2241 m 13407 2210 l S NP 13398 2273 m 13402 2241 l S NP 13393 2307 m 13398 2273 l S NP 13389 2343 m 13393 2307 l S NP 13384 2378 m 13389 2343 l S NP 13380 2412 m 13384 2378 l S NP 13375 2447 m 13380 2412 l S NP 13371 2482 m 13375 2447 l S NP 13366 2517 m 13371 2482 l S NP 13362 2551 m 13366 2517 l S NP 13357 2585 m 13362 2551 l S NP 13353 2618 m 13357 2585 l S NP 13348 2651 m 13353 2618 l S NP 13344 2684 m 13348 2651 l S NP 13339 2714 m 13344 2684 l S NP 13335 2744 m 13339 2714 l S NP 13330 2773 m 13335 2744 l S NP 13326 2802 m 13330 2773 l S NP 13321 2830 m 13326 2802 l S NP 13317 2857 m 13321 2830 l S NP 13312 2882 m 13317 2857 l S NP 13308 2905 m 13312 2882 l S NP 13303 2930 m 13308 2905 l S NP 13299 2952 m 13303 2930 l S NP 13294 2974 m 13299 2952 l S NP 13290 2996 m 13294 2974 l S NP 13285 3016 m 13290 2996 l S NP 13281 3035 m 13285 3016 l S NP 13276 3053 m 13281 3035 l S NP 13272 3069 m 13276 3053 l S NP 13267 3085 m 13272 3069 l S NP 13263 3102 m 13267 3085 l S NP 13258 3116 m 13263 3102 l S NP 13254 3130 m 13258 3116 l S NP 13249 3142 m 13254 3130 l S NP 13245 3154 m 13249 3142 l S NP 13240 3164 m 13245 3154 l S NP 13236 3173 m 13240 3164 l S NP 13232 3180 m 13236 3173 l S NP 13227 3187 m 13232 3180 l S NP 13223 3194 m 13227 3187 l S NP 13218 3201 m 13223 3194 l S NP 13214 3206 m 13218 3201 l S NP 13209 3209 m 13214 3206 l S NP 13205 3211 m 13209 3209 l S NP 13200 3212 m 13205 3211 l S NP 13196 3213 m 13200 3212 l S NP 13191 3212 m 13196 3213 l S NP 13187 3211 m 13191 3212 l S NP 13182 3207 m 13187 3211 l S NP 13178 3203 m 13182 3207 l S NP 13173 3197 m 13178 3203 l S NP 13169 3190 m 13173 3197 l S NP 13164 3181 m 13169 3190 l S NP 13160 3171 m 13164 3181 l S NP 13155 3159 m 13160 3171 l S NP 13151 3147 m 13155 3159 l S NP 13146 3132 m 13151 3147 l S NP 13142 3117 m 13146 3132 l S NP 13137 3100 m 13142 3117 l S NP 13133 3082 m 13137 3100 l S NP 13128 3061 m 13133 3082 l S NP 13124 3038 m 13128 3061 l S NP 13119 3012 m 13124 3038 l S NP 13115 2986 m 13119 3012 l S NP 13110 2961 m 13115 2986 l S NP 13106 2934 m 13110 2961 l S NP 13101 2907 m 13106 2934 l S NP 13097 2879 m 13101 2907 l S NP 13092 2852 m 13097 2879 l S NP 13088 2823 m 13092 2852 l S NP 13083 2793 m 13088 2823 l S NP 13079 2763 m 13083 2793 l S NP 13074 2733 m 13079 2763 l S NP 13070 2701 m 13074 2733 l S NP 13065 2668 m 13070 2701 l S NP 13061 2635 m 13065 2668 l S NP 13057 2603 m 13061 2635 l S NP 13052 2569 m 13057 2603 l S NP 13048 2534 m 13052 2569 l S NP 13043 2499 m 13048 2534 l S NP 13039 2464 m 13043 2499 l S NP 13034 2430 m 13039 2464 l S NP 13030 2394 m 13034 2430 l S NP 13025 2358 m 13030 2394 l S NP 13021 2322 m 13025 2358 l S NP 13016 2286 m 13021 2322 l S NP 13012 2250 m 13016 2286 l S NP 13007 2215 m 13012 2250 l S NP 13003 2181 m 13007 2215 l S NP 12998 2147 m 13003 2181 l S NP 12994 2113 m 12998 2147 l S NP 12989 2078 m 12994 2113 l S NP 12985 2045 m 12989 2078 l S NP 12980 2012 m 12985 2045 l S NP 12976 1980 m 12980 2012 l S NP 12971 1948 m 12976 1980 l S NP 12967 1918 m 12971 1948 l S NP 12962 1889 m 12967 1918 l S NP 12958 1861 m 12962 1889 l S NP 12953 1833 m 12958 1861 l S NP 12949 1807 m 12953 1833 l S NP 12944 1781 m 12949 1807 l S NP 12940 1755 m 12944 1781 l S NP 12935 1731 m 12940 1755 l S NP 12931 1707 m 12935 1731 l S NP 12926 1685 m 12931 1707 l S NP 12922 1661 m 12926 1685 l S NP 12917 1638 m 12922 1661 l S NP 12913 1616 m 12917 1638 l S NP 12908 1596 m 12913 1616 l S NP 12904 1578 m 12908 1596 l S NP 12899 1561 m 12904 1578 l S NP 12895 1545 m 12899 1561 l S NP 12891 1531 m 12895 1545 l S NP 12886 1517 m 12891 1531 l S NP 12882 1505 m 12886 1517 l S NP 12877 1493 m 12882 1505 l S NP 12873 1483 m 12877 1493 l S NP 12868 1474 m 12873 1483 l S NP 12864 1466 m 12868 1474 l S NP 12859 1460 m 12864 1466 l S NP 12855 1455 m 12859 1460 l S NP 12850 1453 m 12855 1455 l S NP 12846 1450 m 12850 1453 l S NP 12841 1448 m 12846 1450 l S NP 12837 1449 m 12841 1448 l S NP 12832 1449 m 12837 1449 l S NP 12828 1454 m 12832 1449 l S NP 12823 1459 m 12828 1454 l S NP 12819 1466 m 12823 1459 l S NP 12814 1472 m 12819 1466 l S NP 12810 1481 m 12814 1472 l S NP 12805 1491 m 12810 1481 l S NP 12801 1502 m 12805 1491 l S NP 12796 1514 m 12801 1502 l S NP 12792 1529 m 12796 1514 l S NP 12787 1544 m 12792 1529 l S NP 12783 1560 m 12787 1544 l S NP 12778 1578 m 12783 1560 l S NP 12774 1599 m 12778 1578 l S NP 12769 1620 m 12774 1599 l S NP 12765 1642 m 12769 1620 l S NP 12760 1664 m 12765 1642 l S NP 12756 1686 m 12760 1664 l S NP 12751 1711 m 12756 1686 l S NP 12747 1737 m 12751 1711 l S NP 12742 1764 m 12747 1737 l S NP 12738 1789 m 12742 1764 l S NP 12733 1816 m 12738 1789 l S NP 12729 1843 m 12733 1816 l S NP 12724 1871 m 12729 1843 l S NP 12720 1899 m 12724 1871 l S NP 12716 1927 m 12720 1899 l S NP 12711 1955 m 12716 1927 l S NP 12707 1984 m 12711 1955 l S NP 12702 2012 m 12707 1984 l S NP 12698 2040 m 12702 2012 l S NP 12693 2068 m 12698 2040 l S NP 12689 2096 m 12693 2068 l S NP 12684 2126 m 12689 2096 l S NP 12680 2157 m 12684 2126 l S NP 12675 2188 m 12680 2157 l S NP 12671 2221 m 12675 2188 l S NP 12666 2254 m 12671 2221 l S NP 12662 2287 m 12666 2254 l S NP 12657 2319 m 12662 2287 l S NP 12653 2352 m 12657 2319 l S NP 12648 2386 m 12653 2352 l S NP 12644 2419 m 12648 2386 l S NP 12639 2453 m 12644 2419 l S NP 12635 2486 m 12639 2453 l S NP 12630 2520 m 12635 2486 l S NP 12626 2554 m 12630 2520 l S NP 12621 2587 m 12626 2554 l S NP 12617 2620 m 12621 2587 l S NP 12612 2652 m 12617 2620 l S NP 12608 2684 m 12612 2652 l S NP 12603 2715 m 12608 2684 l S NP 12599 2746 m 12603 2715 l S NP 12594 2775 m 12599 2746 l S NP 12590 2804 m 12594 2775 l S NP 12585 2832 m 12590 2804 l S NP 12581 2858 m 12585 2832 l S NP 12576 2885 m 12581 2858 l S NP 12572 2909 m 12576 2885 l S NP 12567 2931 m 12572 2909 l S NP 12563 2954 m 12567 2931 l S NP 12558 2978 m 12563 2954 l S NP 12554 3000 m 12558 2978 l S NP 12549 3022 m 12554 3000 l S NP 12545 3044 m 12549 3022 l S NP 12541 3064 m 12545 3044 l S NP 12536 3083 m 12541 3064 l S NP 12532 3099 m 12536 3083 l S NP 12527 3114 m 12532 3099 l S NP 12523 3128 m 12527 3114 l S NP 12518 3143 m 12523 3128 l S NP 12514 3156 m 12518 3143 l S NP 12509 3169 m 12514 3156 l S NP 12505 3180 m 12509 3169 l S NP 12500 3190 m 12505 3180 l S NP 12496 3197 m 12500 3190 l S NP 12491 3201 m 12496 3197 l S NP 12487 3203 m 12491 3201 l S NP 12482 3202 m 12487 3203 l S NP 12478 3202 m 12482 3202 l S NP 12473 3203 m 12478 3202 l S NP 12469 3202 m 12473 3203 l S NP 12464 3201 m 12469 3202 l S NP 12460 3200 m 12464 3201 l S NP 12455 3199 m 12460 3200 l S NP 12451 3198 m 12455 3199 l S NP 12446 3196 m 12451 3198 l S NP 12442 3192 m 12446 3196 l S NP 12437 3189 m 12442 3192 l S NP 12433 3183 m 12437 3189 l S NP 12428 3178 m 12433 3183 l S NP 12424 3169 m 12428 3178 l S NP 12419 3159 m 12424 3169 l S NP 12415 3147 m 12419 3159 l S NP 12410 3132 m 12415 3147 l S NP 12406 3115 m 12410 3132 l S NP 12401 3098 m 12406 3115 l S NP 12397 3078 m 12401 3098 l S NP 12392 3057 m 12397 3078 l S NP 12388 3035 m 12392 3057 l S NP 12383 3014 m 12388 3035 l S NP 12379 2990 m 12383 3014 l S NP 12375 2965 m 12379 2990 l S NP 12370 2939 m 12375 2965 l S NP 12366 2912 m 12370 2939 l S NP 12361 2885 m 12366 2912 l S NP 12357 2857 m 12361 2885 l S NP 12352 2828 m 12357 2857 l S NP 12348 2798 m 12352 2828 l S NP 12343 2768 m 12348 2798 l S NP 12339 2737 m 12343 2768 l S NP 12334 2706 m 12339 2737 l S NP 12330 2675 m 12334 2706 l S NP 12325 2643 m 12330 2675 l S NP 12321 2610 m 12325 2643 l S NP 12316 2577 m 12321 2610 l S NP 12312 2544 m 12316 2577 l S NP 12307 2512 m 12312 2544 l S NP 12303 2479 m 12307 2512 l S NP 12298 2444 m 12303 2479 l S NP 12294 2412 m 12298 2444 l S NP 12289 2381 m 12294 2412 l S NP 12285 2348 m 12289 2381 l S NP 12280 2313 m 12285 2348 l S NP 12276 2279 m 12280 2313 l S NP 12271 2245 m 12276 2279 l S NP 12267 2210 m 12271 2245 l S NP 12262 2175 m 12267 2210 l S NP 12258 2140 m 12262 2175 l S NP 12253 2106 m 12258 2140 l S NP 12249 2072 m 12253 2106 l S NP 12244 2037 m 12249 2072 l S NP 12240 2004 m 12244 2037 l S NP 12235 1970 m 12240 2004 l S NP 12231 1938 m 12235 1970 l S NP 12226 1906 m 12231 1938 l S NP 12222 1875 m 12226 1906 l S NP 12217 1844 m 12222 1875 l S NP 12213 1814 m 12217 1844 l S NP 12208 1785 m 12213 1814 l S NP 12204 1756 m 12208 1785 l S NP 12200 1728 m 12204 1756 l S NP 12195 1702 m 12200 1728 l S NP 12191 1678 m 12195 1702 l S NP 12186 1655 m 12191 1678 l S NP 12182 1633 m 12186 1655 l S NP 12177 1612 m 12182 1633 l S NP 12173 1593 m 12177 1612 l S NP 12168 1573 m 12173 1593 l S NP 12164 1555 m 12168 1573 l S NP 12159 1537 m 12164 1555 l S NP 12155 1519 m 12159 1537 l S NP 12150 1501 m 12155 1519 l S NP 12146 1485 m 12150 1501 l S NP 12141 1472 m 12146 1485 l S NP 12137 1460 m 12141 1472 l S NP 12132 1449 m 12137 1460 l S NP 12128 1440 m 12132 1449 l S NP 12123 1432 m 12128 1440 l S NP 12119 1426 m 12123 1432 l S NP 12114 1420 m 12119 1426 l S NP 12110 1417 m 12114 1420 l S NP 12105 1417 m 12110 1417 l S NP 12101 1416 m 12105 1417 l S NP 12096 1416 m 12101 1416 l S NP 12092 1418 m 12096 1416 l S NP 12087 1420 m 12092 1418 l S NP 12083 1427 m 12087 1420 l S NP 12078 1435 m 12083 1427 l S NP 12074 1444 m 12078 1435 l S NP 12069 1456 m 12074 1444 l S NP 12065 1470 m 12069 1456 l S NP 12060 1483 m 12065 1470 l S NP 12056 1496 m 12060 1483 l S NP 12051 1510 m 12056 1496 l S NP 12047 1527 m 12051 1510 l S NP 12042 1547 m 12047 1527 l S NP 12038 1568 m 12042 1547 l S NP 12033 1587 m 12038 1568 l S NP 12029 1609 m 12033 1587 l S NP 12025 1632 m 12029 1609 l S NP 12020 1654 m 12025 1632 l S NP 12016 1678 m 12020 1654 l S NP 12011 1704 m 12016 1678 l S NP 12007 1733 m 12011 1704 l S NP 12002 1763 m 12007 1733 l S NP 11998 1791 m 12002 1763 l S NP 11993 1819 m 11998 1791 l S NP 11989 1849 m 11993 1819 l S NP 11984 1879 m 11989 1849 l S NP 11980 1908 m 11984 1879 l S NP 11975 1939 m 11980 1908 l S NP 11971 1969 m 11975 1939 l S NP 11966 1999 m 11971 1969 l S NP 11962 2029 m 11966 1999 l S NP 11957 2058 m 11962 2029 l S NP 11953 2088 m 11957 2058 l S NP 11948 2121 m 11953 2088 l S NP 11944 2155 m 11948 2121 l S NP 11939 2189 m 11944 2155 l S NP 11935 2225 m 11939 2189 l S NP 11930 2262 m 11935 2225 l S NP 11926 2299 m 11930 2262 l S NP 11921 2335 m 11926 2299 l S NP 11917 2372 m 11921 2335 l S NP 11912 2409 m 11917 2372 l S NP 11908 2444 m 11912 2409 l S NP 11903 2479 m 11908 2444 l S NP 11899 2513 m 11903 2479 l S NP 11894 2545 m 11899 2513 l S NP 11890 2579 m 11894 2545 l S NP 11885 2612 m 11890 2579 l S NP 11881 2643 m 11885 2612 l S NP 11876 2673 m 11881 2643 l S NP 11872 2703 m 11876 2673 l S NP 11867 2734 m 11872 2703 l S NP 11863 2764 m 11867 2734 l S NP 11859 2795 m 11863 2764 l S NP 11854 2825 m 11859 2795 l S NP 11850 2853 m 11854 2825 l S NP 11845 2879 m 11850 2853 l S NP 11841 2905 m 11845 2879 l S NP 11836 2930 m 11841 2905 l S NP 11832 2955 m 11836 2930 l S NP 11827 2978 m 11832 2955 l S NP 11823 3003 m 11827 2978 l S NP 11818 3026 m 11823 3003 l S NP 11814 3047 m 11818 3026 l S NP 11809 3067 m 11814 3047 l S NP 11805 3085 m 11809 3067 l S NP 11800 3104 m 11805 3085 l S NP 11796 3121 m 11800 3104 l S NP 11791 3136 m 11796 3121 l S NP 11787 3146 m 11791 3136 l S NP 11782 3156 m 11787 3146 l S NP 11778 3165 m 11782 3156 l S NP 11773 3173 m 11778 3165 l S NP 11769 3182 m 11773 3173 l S NP 11764 3191 m 11769 3182 l S NP 11760 3198 m 11764 3191 l S NP 11755 3203 m 11760 3198 l S NP 11751 3206 m 11755 3203 l S NP 11746 3208 m 11751 3206 l S NP 11742 3209 m 11746 3208 l S NP 11737 3210 m 11742 3209 l S NP 11733 3211 m 11737 3210 l S NP 11728 3210 m 11733 3211 l S NP 11724 3208 m 11728 3210 l S NP 11719 3206 m 11724 3208 l S NP 11715 3203 m 11719 3206 l S NP 11710 3198 m 11715 3203 l S NP 11706 3193 m 11710 3198 l S NP 11701 3187 m 11706 3193 l S NP 11697 3180 m 11701 3187 l S NP 11692 3171 m 11697 3180 l S NP 11688 3161 m 11692 3171 l S NP 11684 3150 m 11688 3161 l S NP 11679 3137 m 11684 3150 l S NP 11675 3122 m 11679 3137 l S NP 11670 3105 m 11675 3122 l S NP 11666 3087 m 11670 3105 l S NP 11661 3068 m 11666 3087 l S NP 11657 3047 m 11661 3068 l S NP 11652 3022 m 11657 3047 l S NP 11648 2999 m 11652 3022 l S NP 11643 2976 m 11648 2999 l S NP 11639 2953 m 11643 2976 l S NP 11634 2929 m 11639 2953 l S NP 11630 2904 m 11634 2929 l S NP 11625 2877 m 11630 2904 l S NP 11621 2850 m 11625 2877 l S NP 11616 2821 m 11621 2850 l S NP 11612 2793 m 11616 2821 l S NP 11607 2764 m 11612 2793 l S NP 11603 2735 m 11607 2764 l S NP 11598 2705 m 11603 2735 l S NP 11594 2675 m 11598 2705 l S NP 11589 2644 m 11594 2675 l S NP 11585 2612 m 11589 2644 l S NP 11580 2580 m 11585 2612 l S NP 11576 2548 m 11580 2580 l S NP 11571 2514 m 11576 2548 l S NP 11567 2481 m 11571 2514 l S NP 11562 2446 m 11567 2481 l S NP 11558 2412 m 11562 2446 l S NP 11553 2377 m 11558 2412 l S NP 11549 2343 m 11553 2377 l S NP 11544 2308 m 11549 2343 l S NP 11540 2272 m 11544 2308 l S NP 11535 2237 m 11540 2272 l S NP 11531 2203 m 11535 2237 l S NP 11526 2169 m 11531 2203 l S NP 11522 2135 m 11526 2169 l S NP 11518 2101 m 11522 2135 l S NP 11513 2068 m 11518 2101 l S NP 11509 2034 m 11513 2068 l S NP 11504 2001 m 11509 2034 l S NP 11500 1970 m 11504 2001 l S NP 11495 1940 m 11500 1970 l S NP 11491 1909 m 11495 1940 l S NP 11486 1879 m 11491 1909 l S NP 11482 1848 m 11486 1879 l S NP 11477 1818 m 11482 1848 l S NP 11473 1789 m 11477 1818 l S NP 11468 1762 m 11473 1789 l S NP 11464 1734 m 11468 1762 l S NP 11459 1707 m 11464 1734 l S NP 11455 1682 m 11459 1707 l S NP 11450 1659 m 11455 1682 l S NP 11446 1637 m 11450 1659 l S NP 11441 1615 m 11446 1637 l S NP 11437 1594 m 11441 1615 l S NP 11432 1573 m 11437 1594 l S NP 11428 1552 m 11432 1573 l S NP 11423 1532 m 11428 1552 l S NP 11419 1511 m 11423 1532 l S NP 11414 1494 m 11419 1511 l S NP 11410 1479 m 11414 1494 l S NP 11405 1464 m 11410 1479 l S NP 11401 1450 m 11405 1464 l S NP 11396 1438 m 11401 1450 l S NP 11392 1427 m 11396 1438 l S NP 11387 1418 m 11392 1427 l S NP 11383 1411 m 11387 1418 l S NP 11378 1405 m 11383 1411 l S NP 11374 1400 m 11378 1405 l S NP 11369 1396 m 11374 1400 l S NP 11365 1395 m 11369 1396 l S NP 11360 1395 m 11365 1395 l S NP 11356 1398 m 11360 1395 l S NP 11351 1401 m 11356 1398 l S NP 11347 1405 m 11351 1401 l S NP 11343 1411 m 11347 1405 l S NP 11338 1419 m 11343 1411 l S NP 11334 1427 m 11338 1419 l S NP 11329 1435 m 11334 1427 l S NP 11325 1444 m 11329 1435 l S NP 11320 1454 m 11325 1444 l S NP 11316 1466 m 11320 1454 l S NP 11311 1479 m 11316 1466 l S NP 11307 1497 m 11311 1479 l S NP 11302 1516 m 11307 1497 l S NP 11298 1537 m 11302 1516 l S NP 11293 1561 m 11298 1537 l S NP 11289 1587 m 11293 1561 l S NP 11284 1613 m 11289 1587 l S NP 11280 1641 m 11284 1613 l S NP 11275 1669 m 11280 1641 l S NP 11271 1698 m 11275 1669 l S NP 11266 1729 m 11271 1698 l S NP 11262 1761 m 11266 1729 l S NP 11257 1791 m 11262 1761 l S NP 11253 1821 m 11257 1791 l S NP 11248 1852 m 11253 1821 l S NP 11244 1883 m 11248 1852 l S NP 11239 1914 m 11244 1883 l S NP 11235 1946 m 11239 1914 l S NP 11230 1977 m 11235 1946 l S NP 11226 2009 m 11230 1977 l S NP 11221 2041 m 11226 2009 l S NP 11217 2075 m 11221 2041 l S NP 11212 2109 m 11217 2075 l S NP 11208 2144 m 11212 2109 l S NP 11203 2179 m 11208 2144 l S NP 11199 2216 m 11203 2179 l S NP 11194 2251 m 11199 2216 l S NP 11190 2286 m 11194 2251 l S NP 11185 2323 m 11190 2286 l S NP 11181 2361 m 11185 2323 l S NP 11176 2400 m 11181 2361 l S NP 11172 2438 m 11176 2400 l S NP 11168 2474 m 11172 2438 l S NP 11163 2510 m 11168 2474 l S NP 11159 2545 m 11163 2510 l S NP 11154 2578 m 11159 2545 l S NP 11150 2611 m 11154 2578 l S NP 11145 2643 m 11150 2611 l S NP 11141 2674 m 11145 2643 l S NP 11136 2706 m 11141 2674 l S NP 11132 2737 m 11136 2706 l S NP 11127 2770 m 11132 2737 l S NP 11123 2801 m 11127 2770 l S NP 11118 2832 m 11123 2801 l S NP 11114 2861 m 11118 2832 l S NP 11109 2890 m 11114 2861 l S NP 11105 2918 m 11109 2890 l S NP 11100 2945 m 11105 2918 l S NP 11096 2971 m 11100 2945 l S NP 11091 2996 m 11096 2971 l S NP 11087 3019 m 11091 2996 l S NP 11082 3042 m 11087 3019 l S NP 11078 3064 m 11082 3042 l S NP 11073 3086 m 11078 3064 l S NP 11069 3107 m 11073 3086 l S NP 11064 3129 m 11069 3107 l S NP 11060 3150 m 11064 3129 l S NP 11055 3170 m 11060 3150 l S NP 11051 3186 m 11055 3170 l S NP 11046 3202 m 11051 3186 l S NP 11042 3218 m 11046 3202 l S NP 11037 3232 m 11042 3218 l S NP 11033 3244 m 11037 3232 l S NP 11028 3254 m 11033 3244 l S NP 11024 3261 m 11028 3254 l S NP 11019 3267 m 11024 3261 l S NP 11015 3270 m 11019 3267 l S NP 11010 3271 m 11015 3270 l S NP 11006 3270 m 11010 3271 l S NP 11002 3269 m 11006 3270 l S NP 10997 3265 m 11002 3269 l S NP 10993 3261 m 10997 3265 l S NP 10988 3257 m 10993 3261 l S NP 10984 3251 m 10988 3257 l S NP 10979 3243 m 10984 3251 l S NP 10975 3233 m 10979 3243 l S NP 10970 3224 m 10975 3233 l S NP 10966 3213 m 10970 3224 l S NP 10961 3203 m 10966 3213 l S NP 10957 3191 m 10961 3203 l S NP 10952 3179 m 10957 3191 l S NP 10948 3165 m 10952 3179 l S NP 10943 3151 m 10948 3165 l S NP 10939 3137 m 10943 3151 l S NP 10934 3120 m 10939 3137 l S NP 10930 3103 m 10934 3120 l S NP 10925 3086 m 10930 3103 l S NP 10921 3067 m 10925 3086 l S NP 10916 3046 m 10921 3067 l S NP 10912 3024 m 10916 3046 l S NP 10907 3000 m 10912 3024 l S NP 10903 2975 m 10907 3000 l S NP 10898 2948 m 10903 2975 l S NP 10894 2922 m 10898 2948 l S NP 10889 2895 m 10894 2922 l S NP 10885 2868 m 10889 2895 l S NP 10880 2841 m 10885 2868 l S NP 10876 2813 m 10880 2841 l S NP 10871 2783 m 10876 2813 l S NP 10867 2752 m 10871 2783 l S NP 10862 2720 m 10867 2752 l S NP 10858 2688 m 10862 2720 l S NP 10853 2657 m 10858 2688 l S NP 10849 2623 m 10853 2657 l S NP 10844 2590 m 10849 2623 l S NP 10840 2557 m 10844 2590 l S NP 10835 2524 m 10840 2557 l S NP 10831 2490 m 10835 2524 l S NP 10827 2456 m 10831 2490 l S NP 10822 2422 m 10827 2456 l S NP 10818 2388 m 10822 2422 l S NP 10813 2351 m 10818 2388 l S NP 10809 2313 m 10813 2351 l S NP 10804 2277 m 10809 2313 l S NP 10800 2241 m 10804 2277 l S NP 10795 2205 m 10800 2241 l S NP 10791 2169 m 10795 2205 l S NP 10786 2134 m 10791 2169 l S NP 10782 2099 m 10786 2134 l S NP 10777 2067 m 10782 2099 l S NP 10773 2035 m 10777 2067 l S NP 10768 2003 m 10773 2035 l S NP 10764 1971 m 10768 2003 l S NP 10759 1941 m 10764 1971 l S NP 10755 1910 m 10759 1941 l S NP 10750 1878 m 10755 1910 l S NP 10746 1848 m 10750 1878 l S NP 10741 1819 m 10746 1848 l S NP 10737 1790 m 10741 1819 l S NP 10732 1762 m 10737 1790 l S NP 10728 1737 m 10732 1762 l S NP 10723 1711 m 10728 1737 l S NP 10719 1686 m 10723 1711 l S NP 10714 1662 m 10719 1686 l S NP 10710 1638 m 10714 1662 l S NP 10705 1615 m 10710 1638 l S NP 10701 1593 m 10705 1615 l S NP 10696 1572 m 10701 1593 l S NP 10692 1553 m 10696 1572 l S NP 10687 1536 m 10692 1553 l S NP 10683 1521 m 10687 1536 l S NP 10678 1510 m 10683 1521 l S NP 10674 1498 m 10678 1510 l S NP 10669 1486 m 10674 1498 l S NP 10665 1475 m 10669 1486 l S NP 10660 1465 m 10665 1475 l S NP 10656 1457 m 10660 1465 l S NP 10652 1448 m 10656 1457 l S NP 10647 1440 m 10652 1448 l S NP 10643 1433 m 10647 1440 l S NP 10638 1424 m 10643 1433 l S NP 10634 1416 m 10638 1424 l S NP 10629 1407 m 10634 1416 l S NP 10625 1400 m 10629 1407 l S NP 10620 1396 m 10625 1400 l S NP 10616 1396 m 10620 1396 l S NP 10611 1396 m 10616 1396 l S NP 10607 1400 m 10611 1396 l S NP 10602 1405 m 10607 1400 l S NP 10598 1411 m 10602 1405 l S NP 10593 1417 m 10598 1411 l S NP 10589 1424 m 10593 1417 l S NP 10584 1432 m 10589 1424 l S NP 10580 1441 m 10584 1432 l S NP 10575 1453 m 10580 1441 l S NP 10571 1467 m 10575 1453 l S NP 10566 1484 m 10571 1467 l S NP 10562 1504 m 10566 1484 l S NP 10557 1525 m 10562 1504 l S NP 10553 1546 m 10557 1525 l S NP 10548 1569 m 10553 1546 l S NP 10544 1593 m 10548 1569 l S NP 10539 1619 m 10544 1593 l S NP 10535 1648 m 10539 1619 l S NP 10530 1677 m 10535 1648 l S NP 10526 1705 m 10530 1677 l S NP 10521 1735 m 10526 1705 l S NP 10517 1765 m 10521 1735 l S NP 10512 1796 m 10517 1765 l S NP 10508 1825 m 10512 1796 l S NP 10503 1853 m 10508 1825 l S NP 10499 1882 m 10503 1853 l S NP 10494 1913 m 10499 1882 l S NP 10490 1948 m 10494 1913 l S NP 10486 1984 m 10490 1948 l S NP 10481 2021 m 10486 1984 l S NP 10477 2058 m 10481 2021 l S NP 10472 2095 m 10477 2058 l S NP 10468 2133 m 10472 2095 l S NP 10463 2171 m 10468 2133 l S NP 10459 2209 m 10463 2171 l S NP 10454 2246 m 10459 2209 l S NP 10450 2286 m 10454 2246 l S NP 10445 2325 m 10450 2286 l S NP 10441 2364 m 10445 2325 l S NP 10436 2403 m 10441 2364 l S NP 10432 2443 m 10436 2403 l S NP 10427 2480 m 10432 2443 l S NP 10423 2516 m 10427 2480 l S NP 10418 2552 m 10423 2516 l S NP 10414 2588 m 10418 2552 l S NP 10409 2624 m 10414 2588 l S NP 10405 2659 m 10409 2624 l S NP 10400 2695 m 10405 2659 l S NP 10396 2728 m 10400 2695 l S NP 10391 2759 m 10396 2728 l S NP 10387 2790 m 10391 2759 l S NP 10382 2820 m 10387 2790 l S NP 10378 2848 m 10382 2820 l S NP 10373 2875 m 10378 2848 l S NP 10369 2903 m 10373 2875 l S NP 10364 2933 m 10369 2903 l S NP 10360 2962 m 10364 2933 l S NP 10355 2989 m 10360 2962 l S NP 10351 3015 m 10355 2989 l S NP 10346 3040 m 10351 3015 l S NP 10342 3066 m 10346 3040 l S NP 10337 3088 m 10342 3066 l S NP 10333 3109 m 10337 3088 l S NP 10328 3131 m 10333 3109 l S NP 10324 3153 m 10328 3131 l S NP 10319 3175 m 10324 3153 l S NP 10315 3193 m 10319 3175 l S NP 10311 3211 m 10315 3193 l S NP 10306 3229 m 10311 3211 l S NP 10302 3246 m 10306 3229 l S NP 10297 3262 m 10302 3246 l S NP 10293 3277 m 10297 3262 l S NP 10288 3292 m 10293 3277 l S NP 10284 3304 m 10288 3292 l S NP 10279 3314 m 10284 3304 l S NP 10275 3320 m 10279 3314 l S NP 10270 3325 m 10275 3320 l S NP 10266 3330 m 10270 3325 l S NP 10261 3333 m 10266 3330 l S NP 10257 3332 m 10261 3333 l S NP 10252 3329 m 10257 3332 l S NP 10248 3327 m 10252 3329 l S NP 10243 3322 m 10248 3327 l S NP 10239 3315 m 10243 3322 l S NP 10234 3306 m 10239 3315 l S NP 10230 3292 m 10234 3306 l S NP 10225 3276 m 10230 3292 l S NP 10221 3257 m 10225 3276 l S NP 10216 3237 m 10221 3257 l S NP 10212 3218 m 10216 3237 l S NP 10207 3199 m 10212 3218 l S NP 10203 3181 m 10207 3199 l S NP 10198 3161 m 10203 3181 l S NP 10194 3143 m 10198 3161 l S NP 10189 3126 m 10194 3143 l S NP 10185 3109 m 10189 3126 l S NP 10180 3091 m 10185 3109 l S NP 10176 3070 m 10180 3091 l S NP 10171 3048 m 10176 3070 l S NP 10167 3024 m 10171 3048 l S NP 10162 2997 m 10167 3024 l S NP 10158 2971 m 10162 2997 l S NP 10153 2944 m 10158 2971 l S NP 10149 2919 m 10153 2944 l S NP 10144 2894 m 10149 2919 l S NP 10140 2867 m 10144 2894 l S NP 10136 2839 m 10140 2867 l S NP 10131 2808 m 10136 2839 l S NP 10127 2776 m 10131 2808 l S NP 10122 2741 m 10127 2776 l S NP 10118 2705 m 10122 2741 l S NP 10113 2670 m 10118 2705 l S NP 10109 2634 m 10113 2670 l S NP 10104 2600 m 10109 2634 l S NP 10100 2564 m 10104 2600 l S NP 10095 2527 m 10100 2564 l S NP 10091 2490 m 10095 2527 l S NP 10086 2454 m 10091 2490 l S NP 10082 2420 m 10086 2454 l S NP 10077 2385 m 10082 2420 l S NP 10073 2348 m 10077 2385 l S NP 10068 2311 m 10073 2348 l S NP 10064 2274 m 10068 2311 l S NP 10059 2236 m 10064 2274 l S NP 10055 2198 m 10059 2236 l S NP 10050 2159 m 10055 2198 l S NP 10046 2120 m 10050 2159 l S NP 10041 2081 m 10046 2120 l S NP 10037 2044 m 10041 2081 l S NP 10032 2007 m 10037 2044 l S NP 10028 1973 m 10032 2007 l S NP 10023 1940 m 10028 1973 l S NP 10019 1907 m 10023 1940 l S NP 10014 1876 m 10019 1907 l S NP 10010 1845 m 10014 1876 l S NP 10005 1815 m 10010 1845 l S NP 10001 1787 m 10005 1815 l S NP 9996 1759 m 10001 1787 l S NP 9992 1732 m 9996 1759 l S NP 9987 1706 m 9992 1732 l S NP 9983 1679 m 9987 1706 l S NP 9978 1654 m 9983 1679 l S NP 9974 1630 m 9978 1654 l S NP 9970 1607 m 9974 1630 l S NP 9965 1585 m 9970 1607 l S NP 9961 1560 m 9965 1585 l S NP 9956 1536 m 9961 1560 l S NP 9952 1512 m 9956 1536 l S NP 9947 1492 m 9952 1512 l S NP 9943 1473 m 9947 1492 l S NP 9938 1457 m 9943 1473 l S NP 9934 1443 m 9938 1457 l S NP 9929 1433 m 9934 1443 l S NP 9925 1425 m 9929 1433 l S NP 9920 1417 m 9925 1425 l S NP 9916 1408 m 9920 1417 l S NP 9911 1397 m 9916 1408 l S NP 9907 1387 m 9911 1397 l S NP 9902 1379 m 9907 1387 l S NP 9898 1371 m 9902 1379 l S NP 9893 1361 m 9898 1371 l S NP 9889 1353 m 9893 1361 l S NP 9884 1349 m 9889 1353 l S NP 9880 1348 m 9884 1349 l S NP 9875 1348 m 9880 1348 l S NP 9871 1350 m 9875 1348 l S NP 9866 1351 m 9871 1350 l S NP 9862 1354 m 9866 1351 l S NP 9857 1356 m 9862 1354 l S NP 9853 1357 m 9857 1356 l S NP 9848 1358 m 9853 1357 l S NP 9844 1360 m 9848 1358 l S NP 9839 1363 m 9844 1360 l S NP 9835 1367 m 9839 1363 l S NP 9830 1372 m 9835 1367 l S NP 9826 1379 m 9830 1372 l S NP 9821 1390 m 9826 1379 l S NP 9817 1406 m 9821 1390 l S NP 9812 1428 m 9817 1406 l S NP 9808 1454 m 9812 1428 l S NP 9803 1480 m 9808 1454 l S NP 9799 1506 m 9803 1480 l S NP 9795 1533 m 9799 1506 l S NP 9790 1560 m 9795 1533 l S NP 9786 1590 m 9790 1560 l S NP 9781 1622 m 9786 1590 l S NP 9777 1655 m 9781 1622 l S NP 9772 1687 m 9777 1655 l S NP 9768 1717 m 9772 1687 l S NP 9763 1747 m 9768 1717 l S NP 9759 1782 m 9763 1747 l S NP 9754 1818 m 9759 1782 l S NP 9750 1855 m 9754 1818 l S NP 9745 1891 m 9750 1855 l S NP 9741 1926 m 9745 1891 l S NP 9736 1962 m 9741 1926 l S NP 9732 1997 m 9736 1962 l S NP 9727 2033 m 9732 1997 l S NP 9723 2071 m 9727 2033 l S NP 9718 2113 m 9723 2071 l S NP 9714 2155 m 9718 2113 l S NP 9709 2198 m 9714 2155 l S NP 9705 2239 m 9709 2198 l S NP 9700 2281 m 9705 2239 l S NP 9696 2323 m 9700 2281 l S NP 9691 2364 m 9696 2323 l S NP 9687 2405 m 9691 2364 l S NP 9682 2445 m 9687 2405 l S NP 9678 2481 m 9682 2445 l S NP 9673 2518 m 9678 2481 l S NP 9669 2557 m 9673 2518 l S NP 9664 2595 m 9669 2557 l S NP 9660 2633 m 9664 2595 l S NP 9655 2671 m 9660 2633 l S NP 9651 2709 m 9655 2671 l S NP 9646 2744 m 9651 2709 l S NP 9642 2778 m 9646 2744 l S NP 9637 2814 m 9642 2778 l S NP 9633 2851 m 9637 2814 l S NP 9628 2890 m 9633 2851 l S NP 9624 2927 m 9628 2890 l S NP 9620 2962 m 9624 2927 l S NP 9615 2996 m 9620 2962 l S NP 9611 3026 m 9615 2996 l S NP 9606 3052 m 9611 3026 l S NP 9602 3078 m 9606 3052 l S NP 9597 3102 m 9602 3078 l S NP 9593 3127 m 9597 3102 l S NP 9588 3151 m 9593 3127 l S NP 9584 3171 m 9588 3151 l S NP 9579 3191 m 9584 3171 l S NP 9575 3210 m 9579 3191 l S NP 9570 3231 m 9575 3210 l S NP 9566 3251 m 9570 3231 l S NP 9561 3271 m 9566 3251 l S NP 9557 3293 m 9561 3271 l S NP 9552 3315 m 9557 3293 l S NP 9548 3333 m 9552 3315 l S NP 9543 3352 m 9548 3333 l S NP 9539 3370 m 9543 3352 l S NP 9534 3386 m 9539 3370 l S NP 9530 3397 m 9534 3386 l S NP 9525 3403 m 9530 3397 l S NP 9521 3406 m 9525 3403 l S NP 9516 3407 m 9521 3406 l S NP 9512 3401 m 9516 3407 l S NP 9507 3392 m 9512 3401 l S NP 9503 3381 m 9507 3392 l S NP 9498 3371 m 9503 3381 l S NP 9494 3361 m 9498 3371 l S NP 9489 3349 m 9494 3361 l S NP 9485 3337 m 9489 3349 l S NP 9480 3325 m 9485 3337 l S NP 9476 3313 m 9480 3325 l S NP 9471 3300 m 9476 3313 l S NP 9467 3283 m 9471 3300 l S NP 9462 3263 m 9467 3283 l S NP 9458 3240 m 9462 3263 l S NP 9454 3218 m 9458 3240 l S NP 9449 3196 m 9454 3218 l S NP 9445 3174 m 9449 3196 l S NP 9440 3149 m 9445 3174 l S NP 9436 3121 m 9440 3149 l S NP 9431 3092 m 9436 3121 l S NP 9427 3061 m 9431 3092 l S NP 9422 3029 m 9427 3061 l S NP 9418 2998 m 9422 3029 l S NP 9413 2969 m 9418 2998 l S NP 9409 2939 m 9413 2969 l S NP 9404 2908 m 9409 2939 l S NP 9400 2879 m 9404 2908 l S NP 9395 2849 m 9400 2879 l S NP 9391 2818 m 9395 2849 l S NP 9386 2786 m 9391 2818 l S NP 9382 2753 m 9386 2786 l S NP 9377 2719 m 9382 2753 l S NP 9373 2686 m 9377 2719 l S NP 9368 2653 m 9373 2686 l S NP 9364 2620 m 9368 2653 l S NP 9359 2587 m 9364 2620 l S NP 9355 2552 m 9359 2587 l S NP 9350 2517 m 9355 2552 l S NP 9346 2484 m 9350 2517 l S NP 9341 2448 m 9346 2484 l S NP 9337 2412 m 9341 2448 l S NP 9332 2378 m 9337 2412 l S NP 9328 2344 m 9332 2378 l S NP 9323 2310 m 9328 2344 l S NP 9319 2273 m 9323 2310 l S NP 9314 2235 m 9319 2273 l S NP 9310 2196 m 9314 2235 l S NP 9305 2159 m 9310 2196 l S NP 9301 2125 m 9305 2159 l S NP 9296 2090 m 9301 2125 l S NP 9292 2054 m 9296 2090 l S NP 9287 2015 m 9292 2054 l S NP 9283 1978 m 9287 2015 l S NP 9279 1942 m 9283 1978 l S NP 9274 1910 m 9279 1942 l S NP 9270 1876 m 9274 1910 l S NP 9265 1839 m 9270 1876 l S NP 9261 1803 m 9265 1839 l S NP 9256 1767 m 9261 1803 l S NP 9252 1735 m 9256 1767 l S NP 9247 1703 m 9252 1735 l S NP 9243 1671 m 9247 1703 l S NP 9238 1641 m 9243 1671 l S NP 9234 1613 m 9238 1641 l S NP 9229 1588 m 9234 1613 l S NP 9225 1564 m 9229 1588 l S NP 9220 1542 m 9225 1564 l S NP 9216 1523 m 9220 1542 l S NP 9211 1504 m 9216 1523 l S NP 9207 1485 m 9211 1504 l S NP 9202 1467 m 9207 1485 l S NP 9198 1451 m 9202 1467 l S NP 9193 1436 m 9198 1451 l S NP 9189 1423 m 9193 1436 l S NP 9184 1412 m 9189 1423 l S NP 9180 1404 m 9184 1412 l S NP 9175 1397 m 9180 1404 l S NP 9171 1389 m 9175 1397 l S NP 9166 1378 m 9171 1389 l S NP 9162 1365 m 9166 1378 l S NP 9157 1351 m 9162 1365 l S NP 9153 1336 m 9157 1351 l S NP 9148 1324 m 9153 1336 l S NP 9144 1316 m 9148 1324 l S NP 9139 1314 m 9144 1316 l S NP 9135 1312 m 9139 1314 l S NP 9130 1310 m 9135 1312 l S NP 9126 1307 m 9130 1310 l S NP 9121 1303 m 9126 1307 l S NP 9117 1298 m 9121 1303 l S NP 9112 1295 m 9117 1298 l S NP 9108 1295 m 9112 1295 l S NP 9104 1298 m 9108 1295 l S NP 9099 1303 m 9104 1298 l S NP 9095 1311 m 9099 1303 l S NP 9090 1320 m 9095 1311 l S NP 9086 1331 m 9090 1320 l S NP 9081 1344 m 9086 1331 l S NP 9077 1360 m 9081 1344 l S NP 9072 1378 m 9077 1360 l S NP 9068 1398 m 9072 1378 l S NP 9063 1420 m 9068 1398 l S NP 9059 1441 m 9063 1420 l S NP 9054 1464 m 9059 1441 l S NP 9050 1488 m 9054 1464 l S NP 9045 1515 m 9050 1488 l S NP 9041 1543 m 9045 1515 l S NP 9036 1574 m 9041 1543 l S NP 9032 1606 m 9036 1574 l S NP 9027 1638 m 9032 1606 l S NP 9023 1674 m 9027 1638 l S NP 9018 1708 m 9023 1674 l S NP 9014 1741 m 9018 1708 l S NP 9009 1774 m 9014 1741 l S NP 9005 1809 m 9009 1774 l S NP 9000 1846 m 9005 1809 l S NP 8996 1883 m 9000 1846 l S NP 8991 1921 m 8996 1883 l S NP 8987 1959 m 8991 1921 l S NP 8982 2002 m 8987 1959 l S NP 8978 2047 m 8982 2002 l S NP 8973 2095 m 8978 2047 l S NP 8969 2144 m 8973 2095 l S NP 8964 2192 m 8969 2144 l S NP 8960 2239 m 8964 2192 l S NP 8955 2286 m 8960 2239 l S NP 8951 2333 m 8955 2286 l S NP 8946 2378 m 8951 2333 l S NP 8942 2422 m 8946 2378 l S NP 8938 2468 m 8942 2422 l S NP 8933 2513 m 8938 2468 l S NP 8929 2557 m 8933 2513 l S NP 8924 2601 m 8929 2557 l S NP 8920 2642 m 8924 2601 l S NP 8915 2684 m 8920 2642 l S NP 8911 2726 m 8915 2684 l S NP 8906 2768 m 8911 2726 l S NP 8902 2809 m 8906 2768 l S NP 8897 2849 m 8902 2809 l S NP 8893 2889 m 8897 2849 l S NP 8888 2928 m 8893 2889 l S NP 8884 2969 m 8888 2928 l S NP 8879 3009 m 8884 2969 l S NP 8875 3049 m 8879 3009 l S NP 8870 3087 m 8875 3049 l S NP 8866 3122 m 8870 3087 l S NP 8861 3158 m 8866 3122 l S NP 8857 3190 m 8861 3158 l S NP 8852 3221 m 8857 3190 l S NP 8848 3251 m 8852 3221 l S NP 8843 3278 m 8848 3251 l S NP 8839 3303 m 8843 3278 l S NP 8834 3327 m 8839 3303 l S NP 8830 3350 m 8834 3327 l S NP 8825 3374 m 8830 3350 l S NP 8821 3398 m 8825 3374 l S NP 8816 3420 m 8821 3398 l S NP 8812 3443 m 8816 3420 l S NP 8807 3463 m 8812 3443 l S NP 8803 3479 m 8807 3463 l S NP 8798 3491 m 8803 3479 l S NP 8794 3502 m 8798 3491 l S NP 8789 3512 m 8794 3502 l S NP 8785 3515 m 8789 3512 l S NP 8780 3517 m 8785 3515 l S NP 8776 3516 m 8780 3517 l S NP 8771 3510 m 8776 3516 l S NP 8767 3502 m 8771 3510 l S NP 8763 3495 m 8767 3502 l S NP 8758 3487 m 8763 3495 l S NP 8754 3479 m 8758 3487 l S NP 8749 3472 m 8754 3479 l S NP 8745 3464 m 8749 3472 l S NP 8740 3451 m 8745 3464 l S NP 8736 3439 m 8740 3451 l S NP 8731 3426 m 8736 3439 l S NP 8727 3411 m 8731 3426 l S NP 8722 3395 m 8727 3411 l S NP 8718 3378 m 8722 3395 l S NP 8713 3356 m 8718 3378 l S NP 8709 3329 m 8713 3356 l S NP 8704 3301 m 8709 3329 l S NP 8700 3275 m 8704 3301 l S NP 8695 3251 m 8700 3275 l S NP 8691 3229 m 8695 3251 l S NP 8686 3205 m 8691 3229 l S NP 8682 3179 m 8686 3205 l S NP 8677 3152 m 8682 3179 l S NP 8673 3124 m 8677 3152 l S NP 8668 3094 m 8673 3124 l S NP 8664 3063 m 8668 3094 l S NP 8659 3028 m 8664 3063 l S NP 8655 2988 m 8659 3028 l S NP 8650 2947 m 8655 2988 l S NP 8646 2905 m 8650 2947 l S NP 8641 2864 m 8646 2905 l S NP 8637 2824 m 8641 2864 l S NP 8632 2784 m 8637 2824 l S NP 8628 2742 m 8632 2784 l S NP 8623 2700 m 8628 2742 l S NP 8619 2658 m 8623 2700 l S NP 8614 2616 m 8619 2658 l S NP 8610 2572 m 8614 2616 l S NP 8605 2528 m 8610 2572 l S NP 8601 2486 m 8605 2528 l S NP 8596 2444 m 8601 2486 l S NP 8592 2401 m 8596 2444 l S NP 8588 2361 m 8592 2401 l S NP 8583 2319 m 8588 2361 l S NP 8579 2280 m 8583 2319 l S NP 8574 2240 m 8579 2280 l S NP 8570 2201 m 8574 2240 l S NP 8565 2163 m 8570 2201 l S NP 8561 2125 m 8565 2163 l S NP 8556 2086 m 8561 2125 l S NP 8552 2047 m 8556 2086 l S NP 8547 2009 m 8552 2047 l S NP 8543 1970 m 8547 2009 l S NP 8538 1931 m 8543 1970 l S NP 8534 1889 m 8538 1931 l S NP 8529 1847 m 8534 1889 l S NP 8525 1803 m 8529 1847 l S NP 8520 1761 m 8525 1803 l S NP 8516 1720 m 8520 1761 l S NP 8511 1683 m 8516 1720 l S NP 8507 1650 m 8511 1683 l S NP 8502 1619 m 8507 1650 l S NP 8498 1588 m 8502 1619 l S NP 8493 1556 m 8498 1588 l S NP 8489 1523 m 8493 1556 l S NP 8484 1492 m 8489 1523 l S NP 8480 1461 m 8484 1492 l S NP 8475 1430 m 8480 1461 l S NP 8471 1404 m 8475 1430 l S NP 8466 1379 m 8471 1404 l S NP 8462 1357 m 8466 1379 l S NP 8457 1336 m 8462 1357 l S NP 8453 1320 m 8457 1336 l S NP 8448 1305 m 8453 1320 l S NP 8444 1294 m 8448 1305 l S NP 8439 1283 m 8444 1294 l S NP 8435 1276 m 8439 1283 l S NP 8430 1271 m 8435 1276 l S NP 8426 1264 m 8430 1271 l S NP 8422 1254 m 8426 1264 l S NP 8417 1242 m 8422 1254 l S NP 8413 1232 m 8417 1242 l S NP 8408 1222 m 8413 1232 l S NP 8404 1208 m 8408 1222 l S NP 8399 1194 m 8404 1208 l S NP 8395 1182 m 8399 1194 l S NP 8390 1174 m 8395 1182 l S NP 8386 1169 m 8390 1174 l S NP 8381 1164 m 8386 1169 l S NP 8377 1155 m 8381 1164 l S NP 8372 1144 m 8377 1155 l S NP 8368 1145 m 8372 1144 l S NP 8363 1152 m 8368 1145 l S NP 8359 1162 m 8363 1152 l S NP 8354 1173 m 8359 1162 l S NP 8350 1192 m 8354 1173 l S NP 8345 1211 m 8350 1192 l S NP 8341 1228 m 8345 1211 l S NP 8336 1248 m 8341 1228 l S NP 8332 1274 m 8336 1248 l S NP 8327 1304 m 8332 1274 l S NP 8323 1333 m 8327 1304 l S NP 8318 1361 m 8323 1333 l S NP 8314 1389 m 8318 1361 l S NP 8309 1421 m 8314 1389 l S NP 8305 1457 m 8309 1421 l S NP 8300 1495 m 8305 1457 l S NP 8296 1535 m 8300 1495 l S NP 8291 1575 m 8296 1535 l S NP 8287 1616 m 8291 1575 l S NP 8282 1658 m 8287 1616 l S NP 8278 1699 m 8282 1658 l S NP 8273 1739 m 8278 1699 l S NP 8269 1780 m 8273 1739 l S NP 8264 1825 m 8269 1780 l S NP 8260 1871 m 8264 1825 l S NP 8255 1916 m 8260 1871 l S NP 8251 1962 m 8255 1916 l S NP 8247 2008 m 8251 1962 l S NP 8242 2055 m 8247 2008 l S NP 8238 2101 m 8242 2055 l S NP 8233 2148 m 8238 2101 l S NP 8229 2194 m 8233 2148 l S NP 8224 2243 m 8229 2194 l S NP 8220 2295 m 8224 2243 l S NP 8215 2345 m 8220 2295 l S NP 8211 2394 m 8215 2345 l S NP 8206 2437 m 8211 2394 l S NP 8202 2477 m 8206 2437 l S NP 8197 2518 m 8202 2477 l S NP 8193 2561 m 8197 2518 l S NP 8188 2603 m 8193 2561 l S NP 8184 2643 m 8188 2603 l S NP 8179 2681 m 8184 2643 l S NP 8175 2721 m 8179 2681 l S NP 8170 2764 m 8175 2721 l S NP 8166 2809 m 8170 2764 l S NP 8161 2851 m 8166 2809 l S NP 8157 2887 m 8161 2851 l S NP 8152 2926 m 8157 2887 l S NP 8148 2964 m 8152 2926 l S NP 8143 3002 m 8148 2964 l S NP 8139 3040 m 8143 3002 l S NP 8134 3073 m 8139 3040 l S NP 8130 3104 m 8134 3073 l S NP 8125 3137 m 8130 3104 l S NP 8121 3171 m 8125 3137 l S NP 8116 3204 m 8121 3171 l S NP 8112 3236 m 8116 3204 l S NP 8107 3268 m 8112 3236 l S NP 8103 3301 m 8107 3268 l S NP 8098 3332 m 8103 3301 l S NP 8094 3365 m 8098 3332 l S NP 8089 3395 m 8094 3365 l S NP 8085 3420 m 8089 3395 l S NP 8080 3446 m 8085 3420 l S NP 8076 3471 m 8080 3446 l S NP 8072 3496 m 8076 3471 l S NP 8067 3518 m 8072 3496 l S NP 8063 3538 m 8067 3518 l S NP 8058 3553 m 8063 3538 l S NP 8054 3566 m 8058 3553 l S NP 8049 3575 m 8054 3566 l S NP 8045 3585 m 8049 3575 l S NP 8040 3596 m 8045 3585 l S NP 8036 3602 m 8040 3596 l S NP 8031 3607 m 8036 3602 l S NP 8027 3607 m 8031 3607 l S NP 8022 3605 m 8027 3607 l S NP 8018 3601 m 8022 3605 l S NP 8013 3598 m 8018 3601 l S NP 8009 3594 m 8013 3598 l S NP 8004 3590 m 8009 3594 l S NP 8000 3586 m 8004 3590 l S NP 7995 3578 m 8000 3586 l S NP 7991 3569 m 7995 3578 l S NP 7986 3557 m 7991 3569 l S NP 7982 3541 m 7986 3557 l S NP 7977 3523 m 7982 3541 l S NP 7973 3506 m 7977 3523 l S NP 7968 3490 m 7973 3506 l S NP 7964 3477 m 7968 3490 l S NP 7959 3460 m 7964 3477 l S NP 7955 3442 m 7959 3460 l S NP 7950 3417 m 7955 3442 l S NP 7946 3391 m 7950 3417 l S NP 7941 3366 m 7946 3391 l S NP 7937 3343 m 7941 3366 l S NP 7932 3317 m 7937 3343 l S NP 7928 3288 m 7932 3317 l S NP 7923 3260 m 7928 3288 l S NP 7919 3229 m 7923 3260 l S NP 7914 3197 m 7919 3229 l S NP 7910 3164 m 7914 3197 l S NP 7906 3132 m 7910 3164 l S NP 7901 3099 m 7906 3132 l S NP 7897 3060 m 7901 3099 l S NP 7892 3018 m 7897 3060 l S NP 7888 2977 m 7892 3018 l S NP 7883 2935 m 7888 2977 l S NP 7879 2891 m 7883 2935 l S NP 7874 2846 m 7879 2891 l S NP 7870 2797 m 7874 2846 l S NP 7865 2749 m 7870 2797 l S NP 7861 2699 m 7865 2749 l S NP 7856 2652 m 7861 2699 l S NP 7852 2605 m 7856 2652 l S NP 7847 2557 m 7852 2605 l S NP 7843 2510 m 7847 2557 l S NP 7838 2465 m 7843 2510 l S NP 7834 2421 m 7838 2465 l S NP 7829 2376 m 7834 2421 l S NP 7825 2331 m 7829 2376 l S NP 7820 2284 m 7825 2331 l S NP 7816 2238 m 7820 2284 l S NP 7811 2192 m 7816 2238 l S NP 7807 2149 m 7811 2192 l S NP 7802 2106 m 7807 2149 l S NP 7798 2060 m 7802 2106 l S NP 7793 2012 m 7798 2060 l S NP 7789 1966 m 7793 2012 l S NP 7784 1920 m 7789 1966 l S NP 7780 1877 m 7784 1920 l S NP 7775 1835 m 7780 1877 l S NP 7771 1793 m 7775 1835 l S NP 7766 1755 m 7771 1793 l S NP 7762 1722 m 7766 1755 l S NP 7757 1686 m 7762 1722 l S NP 7753 1649 m 7757 1686 l S NP 7748 1616 m 7753 1649 l S NP 7744 1582 m 7748 1616 l S NP 7739 1547 m 7744 1582 l S NP 7735 1512 m 7739 1547 l S NP 7731 1478 m 7735 1512 l S NP 7726 1446 m 7731 1478 l S NP 7722 1419 m 7726 1446 l S NP 7717 1395 m 7722 1419 l S NP 7713 1369 m 7717 1395 l S NP 7708 1344 m 7713 1369 l S NP 7704 1323 m 7708 1344 l S NP 7699 1305 m 7704 1323 l S NP 7695 1290 m 7699 1305 l S NP 7690 1277 m 7695 1290 l S NP 7686 1261 m 7690 1277 l S NP 7681 1240 m 7686 1261 l S NP 7677 1222 m 7681 1240 l S NP 7672 1208 m 7677 1222 l S NP 7668 1196 m 7672 1208 l S NP 7663 1179 m 7668 1196 l S NP 7659 1162 m 7663 1179 l S NP 7654 1147 m 7659 1162 l S NP 7650 1134 m 7654 1147 l S NP 7645 1127 m 7650 1134 l S NP 7641 1125 m 7645 1127 l S NP 7636 1123 m 7641 1125 l S NP 7632 1122 m 7636 1123 l S NP 7627 1123 m 7632 1122 l S NP 7623 1126 m 7627 1123 l S NP 7618 1128 m 7623 1126 l S NP 7614 1128 m 7618 1128 l S NP 7609 1131 m 7614 1128 l S NP 7605 1139 m 7609 1131 l S NP 7600 1145 m 7605 1139 l S NP 7596 1152 m 7600 1145 l S NP 7591 1161 m 7596 1152 l S NP 7587 1171 m 7591 1161 l S NP 7582 1184 m 7587 1171 l S NP 7578 1201 m 7582 1184 l S NP 7573 1225 m 7578 1201 l S NP 7569 1257 m 7573 1225 l S NP 7564 1292 m 7569 1257 l S NP 7560 1330 m 7564 1292 l S NP 7556 1373 m 7560 1330 l S NP 7551 1420 m 7556 1373 l S NP 7547 1471 m 7551 1420 l S NP 7542 1521 m 7547 1471 l S NP 7538 1573 m 7542 1521 l S NP 7533 1628 m 7538 1573 l S NP 7529 1676 m 7533 1628 l S NP 7524 1718 m 7529 1676 l S NP 7520 1757 m 7524 1718 l S NP 7515 1793 m 7520 1757 l S NP 7511 1826 m 7515 1793 l S NP 7506 1859 m 7511 1826 l S NP 7502 1895 m 7506 1859 l S NP 7497 1931 m 7502 1895 l S NP 7493 1961 m 7497 1931 l S NP 7488 1994 m 7493 1961 l S NP 7484 2031 m 7488 1994 l S NP 7479 2069 m 7484 2031 l S NP 7475 2108 m 7479 2069 l S NP 7470 2144 m 7475 2108 l S NP 7466 2178 m 7470 2144 l S NP 7461 2215 m 7466 2178 l S NP 7457 2255 m 7461 2215 l S NP 7452 2294 m 7457 2255 l S NP 7448 2333 m 7452 2294 l S NP 7443 2374 m 7448 2333 l S NP 7439 2417 m 7443 2374 l S NP 7434 2465 m 7439 2417 l S NP 7430 2513 m 7434 2465 l S NP 7425 2560 m 7430 2513 l S NP 7421 2604 m 7425 2560 l S NP 7416 2649 m 7421 2604 l S NP 7412 2696 m 7416 2649 l S NP 7407 2745 m 7412 2696 l S NP 7403 2795 m 7407 2745 l S NP 7398 2848 m 7403 2795 l S NP 7394 2900 m 7398 2848 l S NP 7390 2948 m 7394 2900 l S NP 7385 2993 m 7390 2948 l S NP 7381 3037 m 7385 2993 l S NP 7376 3078 m 7381 3037 l S NP 7372 3117 m 7376 3078 l S NP 7367 3162 m 7372 3117 l S NP 7363 3209 m 7367 3162 l S NP 7358 3252 m 7363 3209 l S NP 7354 3289 m 7358 3252 l S NP 7349 3322 m 7354 3289 l S NP 7345 3353 m 7349 3322 l S NP 7340 3381 m 7345 3353 l S NP 7336 3411 m 7340 3381 l S NP 7331 3439 m 7336 3411 l S NP 7327 3470 m 7331 3439 l S NP 7322 3512 m 7327 3470 l S NP 7318 3546 m 7322 3512 l S NP 7313 3570 m 7318 3546 l S NP 7309 3588 m 7313 3570 l S NP 7304 3598 m 7309 3588 l S NP 7300 3601 m 7304 3598 l S NP 7295 3600 m 7300 3601 l S NP 7291 3599 m 7295 3600 l S NP 7286 3602 m 7291 3599 l S NP 7282 3606 m 7286 3602 l S NP 7277 3604 m 7282 3606 l S NP 7273 3603 m 7277 3604 l S NP 7268 3608 m 7273 3603 l S NP 7264 3620 m 7268 3608 l S NP 7259 3629 m 7264 3620 l S NP 7255 3630 m 7259 3629 l S NP 7250 3629 m 7255 3630 l S NP 7246 3626 m 7250 3629 l S NP 7241 3620 m 7246 3626 l S NP 7237 3607 m 7241 3620 l S NP 7232 3590 m 7237 3607 l S NP 7228 3573 m 7232 3590 l S NP 7223 3558 m 7228 3573 l S NP 7219 3537 m 7223 3558 l S NP 7215 3511 m 7219 3537 l S NP 7210 3481 m 7215 3511 l S NP 7206 3448 m 7210 3481 l S NP 7201 3420 m 7206 3448 l S NP 7197 3393 m 7201 3420 l S NP 7192 3358 m 7197 3393 l S NP 7188 3314 m 7192 3358 l S NP 7183 3270 m 7188 3314 l S NP 7179 3226 m 7183 3270 l S NP 7174 3179 m 7179 3226 l S NP 7170 3134 m 7174 3179 l S NP 7165 3092 m 7170 3134 l S NP 7161 3049 m 7165 3092 l S NP 7156 3004 m 7161 3049 l S NP 7152 2959 m 7156 3004 l S NP 7147 2915 m 7152 2959 l S NP 7143 2867 m 7147 2915 l S NP 7138 2818 m 7143 2867 l S NP 7134 2773 m 7138 2818 l S NP 7129 2734 m 7134 2773 l S NP 7125 2694 m 7129 2734 l S NP 7120 2649 m 7125 2694 l S NP 7116 2600 m 7120 2649 l S NP 7111 2545 m 7116 2600 l S NP 7107 2493 m 7111 2545 l S NP 7102 2440 m 7107 2493 l S NP 7098 2389 m 7102 2440 l S NP 7093 2340 m 7098 2389 l S NP 7089 2292 m 7093 2340 l S NP 7084 2240 m 7089 2292 l S NP 7080 2188 m 7084 2240 l S NP 7075 2134 m 7080 2188 l S NP 7071 2085 m 7075 2134 l S NP 7066 2038 m 7071 2085 l S NP 7062 1994 m 7066 2038 l S NP 7057 1953 m 7062 1994 l S NP 7053 1911 m 7057 1953 l S NP 7048 1869 m 7053 1911 l S NP 7044 1829 m 7048 1869 l S NP 7040 1788 m 7044 1829 l S NP 7035 1743 m 7040 1788 l S NP 7031 1693 m 7035 1743 l S NP 7026 1643 m 7031 1693 l S NP 7022 1592 m 7026 1643 l S NP 7017 1544 m 7022 1592 l S NP 7013 1504 m 7017 1544 l S NP 7008 1465 m 7013 1504 l S NP 7004 1430 m 7008 1465 l S NP 6999 1395 m 7004 1430 l S NP 6995 1359 m 6999 1395 l S NP 6990 1327 m 6995 1359 l S NP 6986 1296 m 6990 1327 l S NP 6981 1268 m 6986 1296 l S NP 6977 1243 m 6981 1268 l S NP 6972 1221 m 6977 1243 l S NP 6968 1198 m 6972 1221 l S NP 6963 1169 m 6968 1198 l S NP 6959 1140 m 6963 1169 l S NP 6954 1116 m 6959 1140 l S NP 6950 1092 m 6954 1116 l S NP 6945 1069 m 6950 1092 l S NP 6941 1052 m 6945 1069 l S NP 6936 1030 m 6941 1052 l S NP 6932 1011 m 6936 1030 l S NP 6927 996 m 6932 1011 l S NP 6923 984 m 6927 996 l S NP 6918 975 m 6923 984 l S NP 6914 966 m 6918 975 l S NP 6909 956 m 6914 966 l S NP 6905 954 m 6909 956 l S NP 6900 955 m 6905 954 l S NP 6896 952 m 6900 955 l S NP 6891 949 m 6896 952 l S NP 6887 948 m 6891 949 l S NP 6882 952 m 6887 948 l S NP 6878 961 m 6882 952 l S NP 6874 972 m 6878 961 l S NP 6869 982 m 6874 972 l S NP 6865 996 m 6869 982 l S NP 6860 1009 m 6865 996 l S NP 6856 1022 m 6860 1009 l S NP 6851 1029 m 6856 1022 l S NP 6847 1032 m 6851 1029 l S NP 6842 1041 m 6847 1032 l S NP 6838 1059 m 6842 1041 l S NP 6833 1079 m 6838 1059 l S NP 6829 1094 m 6833 1079 l S NP 6824 1108 m 6829 1094 l S NP 6820 1124 m 6824 1108 l S NP 6815 1136 m 6820 1124 l S NP 6811 1147 m 6815 1136 l S NP 6806 1159 m 6811 1147 l S NP 6802 1173 m 6806 1159 l S NP 6797 1192 m 6802 1173 l S NP 6793 1217 m 6797 1192 l S NP 6788 1251 m 6793 1217 l S NP 6784 1287 m 6788 1251 l S NP 6779 1319 m 6784 1287 l S NP 6775 1348 m 6779 1319 l S NP 6770 1377 m 6775 1348 l S NP 6766 1410 m 6770 1377 l S NP 6761 1444 m 6766 1410 l S NP 6757 1477 m 6761 1444 l S NP 6752 1515 m 6757 1477 l S NP 6748 1560 m 6752 1515 l S NP 6743 1615 m 6748 1560 l S NP 6739 1672 m 6743 1615 l S NP 6734 1731 m 6739 1672 l S NP 6730 1785 m 6734 1731 l S NP 6725 1838 m 6730 1785 l S NP 6721 1891 m 6725 1838 l S NP 6716 1945 m 6721 1891 l S NP 6712 2002 m 6716 1945 l S NP 6707 2061 m 6712 2002 l S NP 6703 2118 m 6707 2061 l S NP 6699 2170 m 6703 2118 l S NP 6694 2223 m 6699 2170 l S NP 6690 2283 m 6694 2223 l S NP 6685 2343 m 6690 2283 l S NP 6681 2401 m 6685 2343 l S NP 6676 2458 m 6681 2401 l S NP 6672 2514 m 6676 2458 l S NP 6667 2570 m 6672 2514 l S NP 6663 2624 m 6667 2570 l S NP 6658 2677 m 6663 2624 l S NP 6654 2726 m 6658 2677 l S NP 6649 2770 m 6654 2726 l S NP 6645 2816 m 6649 2770 l S NP 6640 2871 m 6645 2816 l S NP 6636 2938 m 6640 2871 l S NP 6631 3002 m 6636 2938 l S NP 6627 3052 m 6631 3002 l S NP 6622 3097 m 6627 3052 l S NP 6618 3148 m 6622 3097 l S NP 6613 3204 m 6618 3148 l S NP 6609 3263 m 6613 3204 l S NP 6604 3325 m 6609 3263 l S NP 6600 3390 m 6604 3325 l S NP 6595 3455 m 6600 3390 l S NP 6591 3515 m 6595 3455 l S NP 6586 3562 m 6591 3515 l S NP 6582 3602 m 6586 3562 l S NP 6577 3641 m 6582 3602 l S NP 6573 3681 m 6577 3641 l S NP 6568 3722 m 6573 3681 l S NP 6564 3763 m 6568 3722 l S NP 6559 3802 m 6564 3763 l S NP 6555 3831 m 6559 3802 l S NP 6550 3852 m 6555 3831 l S NP 6546 3865 m 6550 3852 l S NP 6541 3878 m 6546 3865 l S NP 6537 3892 m 6541 3878 l S NP 6532 3912 m 6537 3892 l S NP 6528 3943 m 6532 3912 l S NP 6524 3976 m 6528 3943 l S NP 6519 4001 m 6524 3976 l S NP 6515 4014 m 6519 4001 l S NP 6510 4018 m 6515 4014 l S NP 6506 4011 m 6510 4018 l S NP 6501 3988 m 6506 4011 l S NP 6497 3956 m 6501 3988 l S NP 6492 3921 m 6497 3956 l S NP 6488 3888 m 6492 3921 l S NP 6483 3854 m 6488 3888 l S NP 6479 3815 m 6483 3854 l S NP 6474 3767 m 6479 3815 l S NP 6470 3717 m 6474 3767 l S NP 6465 3667 m 6470 3717 l S NP 6461 3617 m 6465 3667 l S NP 6456 3574 m 6461 3617 l S NP 6452 3531 m 6456 3574 l S NP 6447 3489 m 6452 3531 l S NP 6443 3445 m 6447 3489 l S NP 6438 3399 m 6443 3445 l S NP 6434 3348 m 6438 3399 l S NP 6429 3293 m 6434 3348 l S NP 6425 3240 m 6429 3293 l S NP 6420 3194 m 6425 3240 l S NP 6416 3153 m 6420 3194 l S NP 6411 3120 m 6416 3153 l S NP 6407 3088 m 6411 3120 l S NP 6402 3056 m 6407 3088 l S NP 6398 3024 m 6402 3056 l S NP 6393 2992 m 6398 3024 l S NP 6389 2961 m 6393 2992 l S NP 6384 2932 m 6389 2961 l S NP 6380 2899 m 6384 2932 l S NP 6375 2867 m 6380 2899 l S NP 6371 2833 m 6375 2867 l S NP 6366 2796 m 6371 2833 l S NP 6362 2755 m 6366 2796 l S NP 6358 2710 m 6362 2755 l S NP 6353 2666 m 6358 2710 l S NP 6349 2627 m 6353 2666 l S NP 6344 2591 m 6349 2627 l S NP 6340 2554 m 6344 2591 l S NP 6335 2513 m 6340 2554 l S NP 6331 2469 m 6335 2513 l S NP 6326 2419 m 6331 2469 l S NP 6322 2360 m 6326 2419 l S NP 6317 2294 m 6322 2360 l S NP 6313 2228 m 6317 2294 l S NP 6308 2168 m 6313 2228 l S NP 6304 2110 m 6308 2168 l S NP 6299 2052 m 6304 2110 l S NP 6295 1995 m 6299 2052 l S NP 6290 1941 m 6295 1995 l S NP 6286 1887 m 6290 1941 l S NP 6281 1828 m 6286 1887 l S NP 6277 1761 m 6281 1828 l S NP 6272 1687 m 6277 1761 l S NP 6268 1614 m 6272 1687 l S NP 6263 1544 m 6268 1614 l S NP 6259 1475 m 6263 1544 l S NP 6254 1404 m 6259 1475 l S NP 6250 1332 m 6254 1404 l S NP 6245 1265 m 6250 1332 l S NP 6241 1210 m 6245 1265 l S NP 6236 1169 m 6241 1210 l S NP 6232 1135 m 6236 1169 l S NP 6227 1106 m 6232 1135 l S NP 6223 1078 m 6227 1106 l S NP 6218 1051 m 6223 1078 l S NP 6214 1023 m 6218 1051 l S NP 6209 997 m 6214 1023 l S NP 6205 975 m 6209 997 l S NP 6200 955 m 6205 975 l S NP 6196 939 m 6200 955 l S NP 6191 925 m 6196 939 l S NP 6187 914 m 6191 925 l S NP 6183 907 m 6187 914 l S NP 6178 901 m 6183 907 l S NP 6174 894 m 6178 901 l S NP 6169 888 m 6174 894 l S NP 6165 885 m 6169 888 l S NP 6160 882 m 6165 885 l S NP 6156 876 m 6160 882 l S NP 6151 869 m 6156 876 l S NP 6147 859 m 6151 869 l S NP 6142 849 m 6147 859 l S NP 6138 839 m 6142 849 l S NP 6133 830 m 6138 839 l S NP 6129 821 m 6133 830 l S NP 6124 807 m 6129 821 l S NP 6120 788 m 6124 807 l S NP 6115 768 m 6120 788 l S NP 6111 747 m 6115 768 l S NP 6106 717 m 6111 747 l S NP 6102 687 m 6106 717 l S NP 6097 670 m 6102 687 l S NP 6093 666 m 6097 670 l S NP 6088 678 m 6093 666 l S NP 6084 693 m 6088 678 l S NP 6079 732 m 6084 693 l S NP 6075 787 m 6079 732 l S NP 6070 849 m 6075 787 l S NP 6066 918 m 6070 849 l S NP 6061 988 m 6066 918 l S NP 6057 1059 m 6061 988 l S NP 6052 1129 m 6057 1059 l S NP 6048 1200 m 6052 1129 l S NP 6043 1270 m 6048 1200 l S NP 6039 1339 m 6043 1270 l S NP 6034 1409 m 6039 1339 l S NP 6030 1478 m 6034 1409 l S NP 6025 1546 m 6030 1478 l S NP 6021 1611 m 6025 1546 l S NP 6016 1676 m 6021 1611 l S NP 6012 1736 m 6016 1676 l S NP 6008 1795 m 6012 1736 l S NP 6003 1855 m 6008 1795 l S NP 5999 1914 m 6003 1855 l S NP 5994 1975 m 5999 1914 l S NP 5990 2039 m 5994 1975 l S NP 5985 2106 m 5990 2039 l S NP 5981 2174 m 5985 2106 l S NP 5976 2244 m 5981 2174 l S NP 5972 2314 m 5976 2244 l S NP 5967 2381 m 5972 2314 l S NP 5963 2443 m 5967 2381 l S NP 5958 2506 m 5963 2443 l S NP 5954 2566 m 5958 2506 l S NP 5949 2625 m 5954 2566 l S NP 5945 2682 m 5949 2625 l S NP 5940 2737 m 5945 2682 l S NP 5936 2786 m 5940 2737 l S NP 5931 2831 m 5936 2786 l S NP 5927 2873 m 5931 2831 l S NP 5922 2911 m 5927 2873 l S NP 5918 2948 m 5922 2911 l S NP 5913 2983 m 5918 2948 l S NP 5909 3016 m 5913 2983 l S NP 5904 3050 m 5909 3016 l S NP 5900 3086 m 5904 3050 l S NP 5895 3124 m 5900 3086 l S NP 5891 3163 m 5895 3124 l S NP 5886 3204 m 5891 3163 l S NP 5882 3248 m 5886 3204 l S NP 5877 3295 m 5882 3248 l S NP 5873 3345 m 5877 3295 l S NP 5868 3398 m 5873 3345 l S NP 5864 3453 m 5868 3398 l S NP 5859 3509 m 5864 3453 l S NP 5855 3567 m 5859 3509 l S NP 5850 3627 m 5855 3567 l S NP 5846 3690 m 5850 3627 l S NP 5842 3754 m 5846 3690 l S NP 5837 3818 m 5842 3754 l S NP 5833 3884 m 5837 3818 l S NP 5828 3948 m 5833 3884 l S NP 5824 4009 m 5828 3948 l S NP 5819 4067 m 5824 4009 l S NP 5815 4121 m 5819 4067 l S NP 5810 4171 m 5815 4121 l S NP 5806 4220 m 5810 4171 l S NP 5801 4268 m 5806 4220 l S NP 5797 4315 m 5801 4268 l S NP 5792 4353 m 5797 4315 l S NP 5788 4384 m 5792 4353 l S NP 5783 4410 m 5788 4384 l S NP 5779 4421 m 5783 4410 l S NP 5774 4416 m 5779 4421 l S NP 5770 4393 m 5774 4416 l S NP 5765 4357 m 5770 4393 l S NP 5761 4318 m 5765 4357 l S NP 5756 4281 m 5761 4318 l S NP 5752 4255 m 5756 4281 l S NP 5747 4223 m 5752 4255 l S NP 5743 4172 m 5747 4223 l S NP 5738 4117 m 5743 4172 l S NP 5734 4060 m 5738 4117 l S NP 5729 4003 m 5734 4060 l S NP 5725 3945 m 5729 4003 l S NP 5720 3886 m 5725 3945 l S NP 5716 3828 m 5720 3886 l S NP 5711 3772 m 5716 3828 l S NP 5707 3716 m 5711 3772 l S NP 5702 3659 m 5707 3716 l S NP 5698 3602 m 5702 3659 l S NP 5693 3548 m 5698 3602 l S NP 5689 3494 m 5693 3548 l S NP 5684 3440 m 5689 3494 l S NP 5680 3387 m 5684 3440 l S NP 5675 3335 m 5680 3387 l S NP 5671 3285 m 5675 3335 l S NP 5667 3237 m 5671 3285 l S NP 5662 3190 m 5667 3237 l S NP 5658 3144 m 5662 3190 l S NP 5653 3098 m 5658 3144 l S NP 5649 3052 m 5653 3098 l S NP 5644 3006 m 5649 3052 l S NP 5640 2960 m 5644 3006 l S NP 5635 2914 m 5640 2960 l S NP 5631 2865 m 5635 2914 l S NP 5626 2813 m 5631 2865 l S NP 5622 2761 m 5626 2813 l S NP 5617 2710 m 5622 2761 l S NP 5613 2661 m 5617 2710 l S NP 5608 2611 m 5613 2661 l S NP 5604 2561 m 5608 2611 l S NP 5599 2509 m 5604 2561 l S NP 5595 2457 m 5599 2509 l S NP 5590 2402 m 5595 2457 l S NP 5586 2345 m 5590 2402 l S NP 5581 2287 m 5586 2345 l S NP 5577 2228 m 5581 2287 l S NP 5572 2169 m 5577 2228 l S NP 5568 2109 m 5572 2169 l S NP 5563 2049 m 5568 2109 l S NP 5559 1990 m 5563 2049 l S NP 5554 1930 m 5559 1990 l S NP 5550 1871 m 5554 1930 l S NP 5545 1813 m 5550 1871 l S NP 5541 1756 m 5545 1813 l S NP 5536 1698 m 5541 1756 l S NP 5532 1640 m 5536 1698 l S NP 5527 1581 m 5532 1640 l S NP 5523 1525 m 5527 1581 l S NP 5518 1469 m 5523 1525 l S NP 5514 1416 m 5518 1469 l S NP 5509 1361 m 5514 1416 l S NP 5505 1309 m 5509 1361 l S NP 5500 1259 m 5505 1309 l S NP 5496 1210 m 5500 1259 l S NP 5492 1161 m 5496 1210 l S NP 5487 1113 m 5492 1161 l S NP 5483 1064 m 5487 1113 l S NP 5478 1018 m 5483 1064 l S NP 5474 973 m 5478 1018 l S NP 5469 929 m 5474 973 l S NP 5465 884 m 5469 929 l S NP 5460 843 m 5465 884 l S NP 5456 803 m 5460 843 l S NP 5451 767 m 5456 803 l S NP 5447 733 m 5451 767 l S NP 5442 702 m 5447 733 l S NP 5438 673 m 5442 702 l S NP 5433 646 m 5438 673 l S NP 5429 622 m 5433 646 l S NP 5424 602 m 5429 622 l S NP 5420 588 m 5424 602 l S NP 5415 580 m 5420 588 l S NP 5411 576 m 5415 580 l S NP 5406 578 m 5411 576 l S NP 5402 585 m 5406 578 l S NP 5397 599 m 5402 585 l S NP 5393 618 m 5397 599 l S NP 5388 638 m 5393 618 l S NP 5384 658 m 5388 638 l S NP 5379 680 m 5384 658 l S NP 5375 704 m 5379 680 l S NP 5370 727 m 5375 704 l S NP 5366 751 m 5370 727 l S NP 5361 777 m 5366 751 l S NP 5357 806 m 5361 777 l S NP 5352 840 m 5357 806 l S NP 5348 875 m 5352 840 l S NP 5343 912 m 5348 875 l S NP 5339 951 m 5343 912 l S NP 5334 991 m 5339 951 l S NP 5330 1031 m 5334 991 l S NP 5326 1071 m 5330 1031 l S NP 5321 1112 m 5326 1071 l S NP 5317 1151 m 5321 1112 l S NP 5312 1188 m 5317 1151 l S NP 5308 1227 m 5312 1188 l S NP 5303 1266 m 5308 1227 l S NP 5299 1305 m 5303 1266 l S NP 5294 1343 m 5299 1305 l S NP 5290 1382 m 5294 1343 l S NP 5285 1420 m 5290 1382 l S NP 5281 1458 m 5285 1420 l S NP 5276 1496 m 5281 1458 l S NP 5272 1535 m 5276 1496 l S NP 5267 1576 m 5272 1535 l S NP 5263 1616 m 5267 1576 l S NP 5258 1656 m 5263 1616 l S NP 5254 1697 m 5258 1656 l S NP 5249 1739 m 5254 1697 l S NP 5245 1782 m 5249 1739 l S NP 5240 1826 m 5245 1782 l S NP 5236 1873 m 5240 1826 l S NP 5231 1920 m 5236 1873 l S NP 5227 1966 m 5231 1920 l S NP 5222 2013 m 5227 1966 l S NP 5218 2061 m 5222 2013 l S NP 5213 2109 m 5218 2061 l S NP 5209 2156 m 5213 2109 l S NP 5204 2203 m 5209 2156 l S NP 5200 2251 m 5204 2203 l S NP 5195 2298 m 5200 2251 l S NP 5191 2344 m 5195 2298 l S NP 5186 2387 m 5191 2344 l S NP 5182 2430 m 5186 2387 l S NP 5177 2473 m 5182 2430 l S NP 5173 2515 m 5177 2473 l S NP 5168 2557 m 5173 2515 l S NP 5164 2599 m 5168 2557 l S NP 5159 2640 m 5164 2599 l S NP 5155 2678 m 5159 2640 l S NP 5151 2716 m 5155 2678 l S NP 5146 2754 m 5151 2716 l S NP 5142 2792 m 5146 2754 l S NP 5137 2829 m 5142 2792 l S NP 5133 2865 m 5137 2829 l S NP 5128 2899 m 5133 2865 l S NP 5124 2932 m 5128 2899 l S NP 5119 2965 m 5124 2932 l S NP 5115 2997 m 5119 2965 l S NP 5110 3029 m 5115 2997 l S NP 5106 3061 m 5110 3029 l S NP 5101 3094 m 5106 3061 l S NP 5097 3125 m 5101 3094 l S NP 5092 3156 m 5097 3125 l S NP 5088 3185 m 5092 3156 l S NP 5083 3214 m 5088 3185 l S NP 5079 3243 m 5083 3214 l S NP 5074 3271 m 5079 3243 l S NP 5070 3298 m 5074 3271 l S NP 5065 3323 m 5070 3298 l S NP 5061 3346 m 5065 3323 l S NP 5056 3368 m 5061 3346 l S NP 5052 3388 m 5056 3368 l S NP 5047 3404 m 5052 3388 l S NP 5043 3416 m 5047 3404 l S NP 5038 3423 m 5043 3416 l S NP 5034 3428 m 5038 3423 l S NP 5029 3429 m 5034 3428 l S NP 5025 3427 m 5029 3429 l S NP 5020 3427 m 5025 3427 l S NP 5016 3429 m 5020 3427 l S NP 5011 3430 m 5016 3429 l S NP 5007 3432 m 5011 3430 l S NP 5002 3434 m 5007 3432 l S NP 4998 3435 m 5002 3434 l S NP 4993 3436 m 4998 3435 l S NP 4989 3435 m 4993 3436 l S NP 4985 3432 m 4989 3435 l S NP 4980 3426 m 4985 3432 l S NP 4976 3418 m 4980 3426 l S NP 4971 3409 m 4976 3418 l S NP 4967 3395 m 4971 3409 l S NP 4962 3380 m 4967 3395 l S NP 4958 3364 m 4962 3380 l S NP 4953 3346 m 4958 3364 l S NP 4949 3328 m 4953 3346 l S NP 4944 3309 m 4949 3328 l S NP 4940 3288 m 4944 3309 l S NP 4935 3267 m 4940 3288 l S NP 4931 3246 m 4935 3267 l S NP 4926 3226 m 4931 3246 l S NP 4922 3205 m 4926 3226 l S NP 4917 3185 m 4922 3205 l S NP 4913 3167 m 4917 3185 l S NP 4908 3150 m 4913 3167 l S NP 4904 3133 m 4908 3150 l S NP 4899 3118 m 4904 3133 l S NP 4895 3104 m 4899 3118 l S NP 4890 3092 m 4895 3104 l S NP 4886 3080 m 4890 3092 l S NP 4881 3070 m 4886 3080 l S NP 4877 3061 m 4881 3070 l S NP 4872 3052 m 4877 3061 l S NP 4868 3040 m 4872 3052 l S NP 4863 3024 m 4868 3040 l S NP 4859 3006 m 4863 3024 l S NP 4854 2986 m 4859 3006 l S NP 4850 2965 m 4854 2986 l S NP 4845 2944 m 4850 2965 l S NP 4841 2925 m 4845 2944 l S NP 4836 2904 m 4841 2925 l S NP 4832 2881 m 4836 2904 l S NP 4827 2855 m 4832 2881 l S NP 4823 2829 m 4827 2855 l S NP 4818 2803 m 4823 2829 l S NP 4814 2777 m 4818 2803 l S NP 4810 2750 m 4814 2777 l S NP 4805 2725 m 4810 2750 l S NP 4801 2701 m 4805 2725 l S NP 4796 2678 m 4801 2701 l S NP 4792 2655 m 4796 2678 l S NP 4787 2631 m 4792 2655 l S NP 4783 2606 m 4787 2631 l S NP 4778 2581 m 4783 2606 l S NP 4774 2557 m 4778 2581 l S NP 4769 2533 m 4774 2557 l S NP 4765 2509 m 4769 2533 l S NP 4760 2485 m 4765 2509 l S NP 4756 2462 m 4760 2485 l S NP 4751 2439 m 4756 2462 l S NP 4747 2415 m 4751 2439 l S NP 4742 2390 m 4747 2415 l S NP 4738 2367 m 4742 2390 l S NP 4733 2343 m 4738 2367 l S NP 4729 2320 m 4733 2343 l S NP 4724 2296 m 4729 2320 l S NP 4720 2270 m 4724 2296 l S NP 4715 2244 m 4720 2270 l S NP 4711 2219 m 4715 2244 l S NP 4706 2194 m 4711 2219 l S NP 4702 2170 m 4706 2194 l S NP 4697 2145 m 4702 2170 l S NP 4693 2121 m 4697 2145 l S NP 4688 2097 m 4693 2121 l S NP 4684 2075 m 4688 2097 l S NP 4679 2052 m 4684 2075 l S NP 4675 2029 m 4679 2052 l S NP 4670 2007 m 4675 2029 l S NP 4666 1984 m 4670 2007 l S NP 4661 1963 m 4666 1984 l S NP 4657 1943 m 4661 1963 l S NP 4652 1925 m 4657 1943 l S NP 4648 1910 m 4652 1925 l S NP 4643 1897 m 4648 1910 l S NP 4639 1887 m 4643 1897 l S NP 4635 1878 m 4639 1887 l S NP 4630 1870 m 4635 1878 l S NP 4626 1863 m 4630 1870 l S NP 4621 1860 m 4626 1863 l S NP 4617 1860 m 4621 1860 l S NP 4612 1862 m 4617 1860 l S NP 4608 1867 m 4612 1862 l S NP 4603 1873 m 4608 1867 l S NP 4599 1882 m 4603 1873 l S NP 4594 1893 m 4599 1882 l S NP 4590 1903 m 4594 1893 l S NP 4585 1911 m 4590 1903 l S NP 4581 1918 m 4585 1911 l S NP 4576 1926 m 4581 1918 l S NP 4572 1932 m 4576 1926 l S NP 4567 1936 m 4572 1932 l S NP 4563 1937 m 4567 1936 l S NP 4558 1937 m 4563 1937 l S NP 4554 1934 m 4558 1937 l S NP 4549 1932 m 4554 1934 l S NP 4545 1929 m 4549 1932 l S NP 4540 1927 m 4545 1929 l S NP 4536 1926 m 4540 1927 l S NP 4531 1925 m 4536 1926 l S NP 4527 1925 m 4531 1925 l S NP 4522 1928 m 4527 1925 l S NP 4518 1932 m 4522 1928 l S NP 4513 1941 m 4518 1932 l S NP 4509 1953 m 4513 1941 l S NP 4504 1967 m 4509 1953 l S NP 4500 1981 m 4504 1967 l S NP 4495 1995 m 4500 1981 l S NP 4491 2009 m 4495 1995 l S NP 4486 2023 m 4491 2009 l S NP 4482 2037 m 4486 2023 l S NP 4477 2050 m 4482 2037 l S NP 4473 2062 m 4477 2050 l S NP 4469 2074 m 4473 2062 l S NP 4464 2086 m 4469 2074 l S NP 4460 2098 m 4464 2086 l S NP 4455 2108 m 4460 2098 l S NP 4451 2116 m 4455 2108 l S NP 4446 2124 m 4451 2116 l S NP 4442 2128 m 4446 2124 l S NP 4437 2129 m 4442 2128 l S NP 4433 2129 m 4437 2129 l S NP 4428 2129 m 4433 2129 l S NP 4424 2129 m 4428 2129 l S NP 4419 2131 m 4424 2129 l S NP 4415 2133 m 4419 2131 l S NP 4410 2139 m 4415 2133 l S NP 4406 2147 m 4410 2139 l S NP 4401 2156 m 4406 2147 l S NP 4397 2164 m 4401 2156 l S NP 4392 2173 m 4397 2164 l S NP 4388 2181 m 4392 2173 l S NP 4383 2189 m 4388 2181 l S NP 4379 2196 m 4383 2189 l S NP 4374 2202 m 4379 2196 l S NP 4370 2210 m 4374 2202 l S NP 4365 2220 m 4370 2210 l S NP 4361 2233 m 4365 2220 l S NP 4356 2247 m 4361 2233 l S NP 4352 2260 m 4356 2247 l S NP 4347 2275 m 4352 2260 l S NP 4343 2288 m 4347 2275 l S NP 4338 2301 m 4343 2288 l S NP 4334 2313 m 4338 2301 l S NP 4329 2326 m 4334 2313 l S NP 4325 2340 m 4329 2326 l S NP 4320 2353 m 4325 2340 l S NP 4316 2366 m 4320 2353 l S NP 4311 2382 m 4316 2366 l S NP 4307 2397 m 4311 2382 l S NP 4302 2412 m 4307 2397 l S NP 4298 2426 m 4302 2412 l S NP 4294 2441 m 4298 2426 l S NP 4289 2457 m 4294 2441 l S NP 4285 2472 m 4289 2457 l S NP 4280 2487 m 4285 2472 l S NP 4276 2501 m 4280 2487 l S NP 4271 2514 m 4276 2501 l S NP 4267 2528 m 4271 2514 l S NP 4262 2542 m 4267 2528 l S NP 4258 2556 m 4262 2542 l S NP 4253 2569 m 4258 2556 l S NP 4249 2580 m 4253 2569 l S NP 4244 2593 m 4249 2580 l S NP 4240 2605 m 4244 2593 l S NP 4235 2615 m 4240 2605 l S NP 4231 2623 m 4235 2615 l S NP 4226 2631 m 4231 2623 l S NP 4222 2638 m 4226 2631 l S NP 4217 2643 m 4222 2638 l S NP 4213 2648 m 4217 2643 l S NP 4208 2655 m 4213 2648 l S NP 4204 2660 m 4208 2655 l S NP 4199 2665 m 4204 2660 l S NP 4195 2671 m 4199 2665 l S NP 4190 2674 m 4195 2671 l S NP 4186 2677 m 4190 2674 l S NP 4181 2679 m 4186 2677 l S NP 4177 2681 m 4181 2679 l S NP 4172 2683 m 4177 2681 l S NP 4168 2685 m 4172 2683 l S NP 4163 2683 m 4168 2685 l S NP 4159 2678 m 4163 2683 l S NP 4154 2673 m 4159 2678 l S NP 4150 2668 m 4154 2673 l S NP 4145 2662 m 4150 2668 l S NP 4141 2656 m 4145 2662 l S NP 4136 2650 m 4141 2656 l S NP 4132 2644 m 4136 2650 l S NP 4127 2637 m 4132 2644 l S NP 4123 2631 m 4127 2637 l S NP 4119 2626 m 4123 2631 l S NP 4114 2623 m 4119 2626 l S NP 4110 2624 m 4114 2623 l S NP 4105 2626 m 4110 2624 l S NP 4101 2630 m 4105 2626 l S NP 4096 2633 m 4101 2630 l S NP 4092 2636 m 4096 2633 l S NP 4087 2641 m 4092 2636 l S NP 4083 2645 m 4087 2641 l S NP 4078 2648 m 4083 2645 l S NP 4074 2650 m 4078 2648 l S NP 4069 2649 m 4074 2650 l S NP 4065 2646 m 4069 2649 l S NP 4060 2640 m 4065 2646 l S NP 4056 2633 m 4060 2640 l S NP 4051 2626 m 4056 2633 l S NP 4047 2618 m 4051 2626 l S NP 4042 2610 m 4047 2618 l S NP 4038 2602 m 4042 2610 l S NP 4033 2594 m 4038 2602 l S NP 4029 2585 m 4033 2594 l S NP 4024 2576 m 4029 2585 l S NP 4020 2566 m 4024 2576 l S NP 4015 2557 m 4020 2566 l S NP 4011 2549 m 4015 2557 l S NP 4006 2542 m 4011 2549 l S NP 4002 2536 m 4006 2542 l S NP 3997 2533 m 4002 2536 l S NP 3993 2533 m 3997 2533 l S NP 3988 2535 m 3993 2533 l S NP 3984 2537 m 3988 2535 l S NP 3979 2541 m 3984 2537 l S NP 3975 2544 m 3979 2541 l S NP 3970 2546 m 3975 2544 l S NP 3966 2546 m 3970 2546 l S NP 3961 2545 m 3966 2546 l S NP 3957 2541 m 3961 2545 l S NP 3953 2537 m 3957 2541 l S NP 3948 2531 m 3953 2537 l S NP 3944 2526 m 3948 2531 l S NP 3939 2522 m 3944 2526 l S NP 3935 2517 m 3939 2522 l S NP 3930 2513 m 3935 2517 l S NP 3926 2511 m 3930 2513 l S NP 3921 2512 m 3926 2511 l S NP 3917 2513 m 3921 2512 l S NP 3912 2513 m 3917 2513 l S NP 3908 2512 m 3912 2513 l S NP 3903 2508 m 3908 2512 l S NP 3899 2502 m 3903 2508 l S NP 3894 2495 m 3899 2502 l S NP 3890 2487 m 3894 2495 l S NP 3885 2479 m 3890 2487 l S NP 3881 2469 m 3885 2479 l S NP 3876 2458 m 3881 2469 l S NP 3872 2447 m 3876 2458 l S NP 3867 2436 m 3872 2447 l S NP 3863 2425 m 3867 2436 l S NP 3858 2415 m 3863 2425 l S NP 3854 2406 m 3858 2415 l S NP 3849 2397 m 3854 2406 l S NP 3845 2389 m 3849 2397 l S NP 3840 2380 m 3845 2389 l S NP 3836 2372 m 3840 2380 l S NP 3831 2364 m 3836 2372 l S NP 3827 2356 m 3831 2364 l S NP 3822 2349 m 3827 2356 l S NP 3818 2345 m 3822 2349 l S NP 3813 2342 m 3818 2345 l S NP 3809 2340 m 3813 2342 l S NP 3804 2336 m 3809 2340 l S NP 3800 2333 m 3804 2336 l S NP 3795 2328 m 3800 2333 l S NP 3791 2325 m 3795 2328 l S NP 3786 2322 m 3791 2325 l S NP 3782 2319 m 3786 2322 l S NP 3778 2315 m 3782 2319 l S NP 3773 2310 m 3778 2315 l S NP 3769 2306 m 3773 2310 l S NP 3764 2303 m 3769 2306 l S NP 3760 2301 m 3764 2303 l S NP 3755 2299 m 3760 2301 l S NP 3751 2299 m 3755 2299 l S NP 3746 2299 m 3751 2299 l S NP 3742 2296 m 3746 2299 l S NP 3737 2293 m 3742 2296 l S NP 3733 2291 m 3737 2293 l S NP 3728 2288 m 3733 2291 l S NP 3724 2286 m 3728 2288 l S NP 3719 2285 m 3724 2286 l S NP 3715 2287 m 3719 2285 l S NP 3710 2289 m 3715 2287 l S NP 3706 2292 m 3710 2289 l S NP 3701 2295 m 3706 2292 l S NP 3697 2297 m 3701 2295 l S NP 3692 2300 m 3697 2297 l S NP 3688 2303 m 3692 2300 l S NP 3683 2307 m 3688 2303 l S NP 3679 2311 m 3683 2307 l S NP 3674 2316 m 3679 2311 l S NP 3670 2321 m 3674 2316 l S NP 3665 2323 m 3670 2321 l S NP 3661 2323 m 3665 2323 l S NP 3656 2321 m 3661 2323 l S NP 3652 2319 m 3656 2321 l S NP 3647 2317 m 3652 2319 l S NP 3643 2314 m 3647 2317 l S NP 3638 2310 m 3643 2314 l S NP 3634 2306 m 3638 2310 l S NP 3629 2303 m 3634 2306 l S NP 3625 2301 m 3629 2303 l S NP 3620 2300 m 3625 2301 l S NP 3616 2300 m 3620 2300 l S NP 3611 2302 m 3616 2300 l S NP 3607 2304 m 3611 2302 l S NP 3603 2307 m 3607 2304 l S NP 3598 2312 m 3603 2307 l S NP 3594 2317 m 3598 2312 l S NP 3589 2322 m 3594 2317 l S NP 3585 2327 m 3589 2322 l S NP 3580 2332 m 3585 2327 l S NP 3576 2338 m 3580 2332 l S NP 3571 2345 m 3576 2338 l S NP 3567 2352 m 3571 2345 l S NP 3562 2357 m 3567 2352 l S NP 3558 2362 m 3562 2357 l S NP 3553 2367 m 3558 2362 l S NP 3549 2369 m 3553 2367 l S NP 3544 2369 m 3549 2369 l S NP 3540 2366 m 3544 2369 l S NP 3535 2362 m 3540 2366 l S NP 3531 2358 m 3535 2362 l S NP 3526 2354 m 3531 2358 l S NP 3522 2352 m 3526 2354 l S NP 3517 2349 m 3522 2352 l S NP 3513 2348 m 3517 2349 l S NP 3508 2349 m 3513 2348 l S NP 3504 2352 m 3508 2349 l S NP 3499 2354 m 3504 2352 l S NP 3495 2358 m 3499 2354 l S NP 3490 2361 m 3495 2358 l S NP 3486 2365 m 3490 2361 l S NP 3481 2367 m 3486 2365 l S NP 3477 2369 m 3481 2367 l S NP 3472 2370 m 3477 2369 l S NP 3468 2369 m 3472 2370 l S NP 3463 2367 m 3468 2369 l S NP 3459 2365 m 3463 2367 l S NP 3454 2365 m 3459 2365 l S NP 3450 2367 m 3454 2365 l S NP 3445 2369 m 3450 2367 l S NP 3441 2372 m 3445 2369 l S NP 3437 2377 m 3441 2372 l S NP 3432 2383 m 3437 2377 l S NP 3428 2388 m 3432 2383 l S NP 3423 2395 m 3428 2388 l S NP 3419 2402 m 3423 2395 l S NP 3414 2408 m 3419 2402 l S NP 3410 2413 m 3414 2408 l S NP 3405 2419 m 3410 2413 l S NP 3401 2425 m 3405 2419 l S NP 3396 2431 m 3401 2425 l S NP 3392 2437 m 3396 2431 l S NP 3387 2441 m 3392 2437 l S NP 3383 2445 m 3387 2441 l S NP 3378 2447 m 3383 2445 l S NP 3374 2447 m 3378 2447 l S NP 3369 2449 m 3374 2447 l S NP 3365 2450 m 3369 2449 l S NP 3360 2450 m 3365 2450 l S NP 3356 2450 m 3360 2450 l S NP 3351 2450 m 3356 2450 l S NP 3347 2451 m 3351 2450 l S NP 3342 2453 m 3347 2451 l S NP 3338 2456 m 3342 2453 l S NP 3333 2457 m 3338 2456 l S NP 3329 2458 m 3333 2457 l S NP 3324 2460 m 3329 2458 l S NP 3320 2462 m 3324 2460 l S NP 3315 2464 m 3320 2462 l S NP 3311 2467 m 3315 2464 l S NP 3306 2468 m 3311 2467 l S NP 3302 2468 m 3306 2468 l S NP 3297 2467 m 3302 2468 l S NP 3293 2466 m 3297 2467 l S NP 3288 2468 m 3293 2466 l S NP 3284 2470 m 3288 2468 l S NP 3279 2473 m 3284 2470 l S NP 3275 2474 m 3279 2473 l S NP 3270 2476 m 3275 2474 l S NP 3266 2476 m 3270 2476 l S NP 3262 2474 m 3266 2476 l S NP 3257 2472 m 3262 2474 l S NP 3253 2471 m 3257 2472 l S NP 3248 2471 m 3253 2471 l S NP 3244 2471 m 3248 2471 l S NP 3239 2469 m 3244 2471 l S NP 3235 2466 m 3239 2469 l S NP 3230 2463 m 3235 2466 l S NP 3226 2460 m 3230 2463 l S NP 3221 2458 m 3226 2460 l S NP 3217 2457 m 3221 2458 l S NP 3212 2457 m 3217 2457 l S NP 3208 2457 m 3212 2457 l S NP 3203 2458 m 3208 2457 l S NP 3199 2460 m 3203 2458 l S NP 3194 2461 m 3199 2460 l S NP 3190 2462 m 3194 2461 l S NP 3185 2464 m 3190 2462 l S NP 3181 2466 m 3185 2464 l S NP 3176 2468 m 3181 2466 l S NP 3172 2468 m 3176 2468 l S NP 3167 2469 m 3172 2468 l S NP 3163 2468 m 3167 2469 l S NP 3158 2468 m 3163 2468 l S NP 3154 2468 m 3158 2468 l S NP 3149 2466 m 3154 2468 l S NP 3145 2463 m 3149 2466 l S NP 3140 2459 m 3145 2463 l S NP 3136 2455 m 3140 2459 l S NP 3131 2451 m 3136 2455 l S NP 3127 2446 m 3131 2451 l S NP 3122 2443 m 3127 2446 l S NP 3118 2441 m 3122 2443 l S NP 3113 2437 m 3118 2441 l S NP 3109 2434 m 3113 2437 l S NP 3104 2431 m 3109 2434 l S NP 3100 2430 m 3104 2431 l S NP 3095 2429 m 3100 2430 l S NP 3091 2431 m 3095 2429 l S NP 3087 2434 m 3091 2431 l S NP 3082 2436 m 3087 2434 l S NP 3078 2439 m 3082 2436 l S NP 3073 2441 m 3078 2439 l S NP 3069 2444 m 3073 2441 l S NP 3064 2446 m 3069 2444 l S NP 3060 2448 m 3064 2446 l S NP 3055 2447 m 3060 2448 l S NP 3051 2444 m 3055 2447 l S NP 3046 2441 m 3051 2444 l S NP 3042 2439 m 3046 2441 l S NP 3037 2437 m 3042 2439 l S NP 3033 2436 m 3037 2437 l S NP 3028 2435 m 3033 2436 l S NP 3024 2433 m 3028 2435 l S NP 3019 2433 m 3024 2433 l S NP 3015 2435 m 3019 2433 l S NP 3010 2436 m 3015 2435 l S NP 3006 2437 m 3010 2436 l S NP 3001 2438 m 3006 2437 l S NP 2997 2438 m 3001 2438 l S NP 2992 2438 m 2997 2438 l S NP 2988 2435 m 2992 2438 l S NP 2983 2431 m 2988 2435 l S NP 2979 2428 m 2983 2431 l S NP 2974 2425 m 2979 2428 l S NP 2970 2422 m 2974 2425 l S NP 2965 2419 m 2970 2422 l S NP 2961 2415 m 2965 2419 l S NP 2956 2410 m 2961 2415 l S NP 2952 2406 m 2956 2410 l S NP 2947 2402 m 2952 2406 l S NP 2943 2399 m 2947 2402 l S NP 2938 2397 m 2943 2399 l S NP 2934 2397 m 2938 2397 l S NP 2929 2395 m 2934 2397 l S NP 2925 2394 m 2929 2395 l S NP 2921 2394 m 2925 2394 l S NP 2916 2393 m 2921 2394 l S NP 2912 2393 m 2916 2393 l S NP 2907 2392 m 2912 2393 l S NP 2903 2393 m 2907 2392 l S NP 2898 2394 m 2903 2393 l S NP 2894 2394 m 2898 2394 l S NP 2889 2393 m 2894 2394 l S NP 2885 2392 m 2889 2393 l S NP 2880 2391 m 2885 2392 l S NP 2876 2391 m 2880 2391 l S NP 2871 2390 m 2876 2391 l S NP 2867 2389 m 2871 2390 l S NP 2862 2388 m 2867 2389 l S NP 2858 2387 m 2862 2388 l S NP 2853 2387 m 2858 2387 l S NP 2849 2389 m 2853 2387 l S NP 2844 2389 m 2849 2389 l S NP 2840 2388 m 2844 2389 l S NP 2835 2388 m 2840 2388 l S NP 2831 2387 m 2835 2388 l S NP 2826 2385 m 2831 2387 l S NP 2822 2384 m 2826 2385 l S NP 2817 2383 m 2822 2384 l S NP 2813 2384 m 2817 2383 l S NP 2808 2384 m 2813 2384 l S NP 2804 2385 m 2808 2384 l S NP 2799 2386 m 2804 2385 l S NP 2795 2385 m 2799 2386 l S NP 2790 2385 m 2795 2385 l S NP 2786 2386 m 2790 2385 l S NP 2781 2388 m 2786 2386 l S NP 2777 2389 m 2781 2388 l S NP 2772 2390 m 2777 2389 l S NP 2768 2392 m 2772 2390 l S NP 2763 2393 m 2768 2392 l S NP 2759 2393 m 2763 2393 l S NP 2754 2393 m 2759 2393 l S NP 2750 2393 m 2754 2393 l S NP 2746 2392 m 2750 2393 l S NP 2741 2392 m 2746 2392 l S NP 2737 2391 m 2741 2392 l S NP 2732 2389 m 2737 2391 l S NP 2728 2388 m 2732 2389 l S NP 2723 2388 m 2728 2388 l S NP 2719 2387 m 2723 2388 l S NP 2714 2386 m 2719 2387 l S NP 2710 2387 m 2714 2386 l S NP 2705 2388 m 2710 2387 l S NP 2701 2389 m 2705 2388 l S NP 2696 2390 m 2701 2389 l S NP 2692 2391 m 2696 2390 l S NP 2687 2393 m 2692 2391 l S NP 2683 2396 m 2687 2393 l S NP 2678 2398 m 2683 2396 l S NP 2674 2400 m 2678 2398 l S NP 2669 2402 m 2674 2400 l S NP 2665 2404 m 2669 2402 l S NP 2660 2404 m 2665 2404 l S NP 2656 2405 m 2660 2404 l S NP 2651 2406 m 2656 2405 l S NP 2647 2408 m 2651 2406 l S NP 2642 2407 m 2647 2408 l S NP 2638 2406 m 2642 2407 l S NP 2633 2405 m 2638 2406 l S NP 2629 2406 m 2633 2405 l S NP 2624 2404 m 2629 2406 l S NP 2620 2403 m 2624 2404 l S NP 2615 2399 m 2620 2403 l S NP 2611 2397 m 2615 2399 l S NP 2606 2397 m 2611 2397 l S NP 2602 2400 m 2606 2397 l S NP 2597 2402 m 2602 2400 l S NP 2593 2404 m 2597 2402 l S NP 2588 2405 m 2593 2404 l S NP 2584 2405 m 2588 2405 l S NP 2579 2405 m 2584 2405 l S NP 2575 2406 m 2579 2405 l S NP 2571 2407 m 2575 2406 l S NP 2566 2406 m 2571 2407 l S NP 2562 2406 m 2566 2406 l S NP 2557 2405 m 2562 2406 l S NP 2553 2405 m 2557 2405 l S NP 2548 2404 m 2553 2405 l S NP 2544 2404 m 2548 2404 l S NP 2539 2405 m 2544 2404 l S NP 2535 2407 m 2539 2405 l S NP 2530 2409 m 2535 2407 l S NP 2526 2412 m 2530 2409 l S NP 2521 2414 m 2526 2412 l S NP 2517 2415 m 2521 2414 l S NP 2512 2415 m 2517 2415 l S NP 2508 2417 m 2512 2415 l S NP 2503 2419 m 2508 2417 l S NP 2499 2421 m 2503 2419 l S NP 2494 2423 m 2499 2421 l S NP 2490 2424 m 2494 2423 l S NP 2485 2424 m 2490 2424 l S NP 2481 2424 m 2485 2424 l S NP 2476 2425 m 2481 2424 l S NP 2472 2426 m 2476 2425 l S NP 2467 2427 m 2472 2426 l S NP 2463 2426 m 2467 2427 l S NP 2458 2426 m 2463 2426 l S NP 2454 2427 m 2458 2426 l S NP 2449 2426 m 2454 2427 l S NP 2445 2425 m 2449 2426 l S NP 2440 2426 m 2445 2425 l S NP 2436 2426 m 2440 2426 l S NP 2431 2427 m 2436 2426 l S NP 2427 2427 m 2431 2427 l S NP 2422 2427 m 2427 2427 l S NP 2418 2427 m 2422 2427 l S NP 2413 2426 m 2418 2427 l S NP 2409 2426 m 2413 2426 l S NP 2405 2427 m 2409 2426 l S NP 2400 2426 m 2405 2427 l S NP 2396 2426 m 2400 2426 l S NP 2391 2426 m 2396 2426 l S NP 2387 2426 m 2391 2426 l S NP 2382 2426 m 2387 2426 l S NP 2378 2426 m 2382 2426 l S NP 2373 2426 m 2378 2426 l S NP 2369 2427 m 2373 2426 l S NP 2364 2427 m 2369 2427 l S NP 2360 2427 m 2364 2427 l S NP 2355 2427 m 2360 2427 l S NP 2351 2426 m 2355 2427 l S NP 2346 2427 m 2351 2426 l S NP 2342 2427 m 2346 2427 l S NP 2337 2427 m 2342 2427 l S NP 2333 2426 m 2337 2427 l S NP 2328 2426 m 2333 2426 l S NP 2324 2425 m 2328 2426 l S NP 2319 2424 m 2324 2425 l S NP 2315 2424 m 2319 2424 l S NP 2310 2424 m 2315 2424 l S NP 2306 2423 m 2310 2424 l S NP 2301 2423 m 2306 2423 l S NP 2297 2425 m 2301 2423 l S NP 2292 2425 m 2297 2425 l S NP 2288 2424 m 2292 2425 l S NP 2283 2425 m 2288 2424 l S NP 2279 2425 m 2283 2425 l S NP 2274 2425 m 2279 2425 l S NP 2270 2425 m 2274 2425 l S NP 2265 2427 m 2270 2425 l S NP 2261 2426 m 2265 2427 l S NP 2256 2426 m 2261 2426 l S NP 2252 2425 m 2256 2426 l S NP 2247 2425 m 2252 2425 l S NP 2243 2424 m 2247 2425 l S NP 2238 2424 m 2243 2424 l S NP 2234 2423 m 2238 2424 l S NP 2230 2422 m 2234 2423 l S NP 2225 2421 m 2230 2422 l S NP 2221 2420 m 2225 2421 l S NP 2216 2420 m 2221 2420 l S NP 2212 2420 m 2216 2420 l S NP 2207 2420 m 2212 2420 l S NP 2203 2420 m 2207 2420 l S NP 2198 2419 m 2203 2420 l S NP 2194 2418 m 2198 2419 l S NP 2189 2419 m 2194 2418 l S NP 2185 2419 m 2189 2419 l S NP 2180 2418 m 2185 2419 l S NP 2176 2418 m 2180 2418 l S NP 2171 2419 m 2176 2418 l S NP 2167 2420 m 2171 2419 l S NP 2162 2421 m 2167 2420 l S NP 2158 2421 m 2162 2421 l S NP 2153 2421 m 2158 2421 l S NP 2149 2419 m 2153 2421 l S NP 2144 2418 m 2149 2419 l S NP 2140 2419 m 2144 2418 l S NP 2135 2418 m 2140 2419 l S NP 2131 2418 m 2135 2418 l S NP 2126 2418 m 2131 2418 l S NP 2122 2418 m 2126 2418 l S NP 2117 2418 m 2122 2418 l S NP 2113 2418 m 2117 2418 l S NP 2108 2418 m 2113 2418 l S NP 2104 2419 m 2108 2418 l S NP 2099 2419 m 2104 2419 l S NP 2095 2418 m 2099 2419 l S NP 2090 2418 m 2095 2418 l S NP 2086 2417 m 2090 2418 l S NP 2081 2416 m 2086 2417 l S NP 2077 2416 m 2081 2416 l S NP 2072 2415 m 2077 2416 l S NP 2068 2414 m 2072 2415 l S NP 2063 2415 m 2068 2414 l S NP 2059 2414 m 2063 2415 l S NP 2055 2414 m 2059 2414 l S NP 2050 2414 m 2055 2414 l S NP 2046 2413 m 2050 2414 l S NP 2041 2412 m 2046 2413 l S NP 2037 2413 m 2041 2412 l S NP 2032 2412 m 2037 2413 l S NP 2028 2412 m 2032 2412 l S NP 2023 2412 m 2028 2412 l S NP 2019 2412 m 2023 2412 l userFont2 % bug patch -- we have a problem S (t) dup 0 stringbbox 2 idiv 702 exch sub exch 2 idiv 15475 exch sub exch m show userFont1 % bug patch -- we have a problem (Y) dup 0 stringbbox 2 idiv 4312 exch sub exch 2 idiv 2283 exch sub exch m show medium setlinewidth NP 2014 500 m 2014 4500 l S thin setlinewidth NP 1917 512 m 2014 512 l S NP 1965 702 m 2014 702 l S NP 1965 892 m 2014 892 l S NP 1965 1082 m 2014 1082 l S NP 1965 1272 m 2014 1272 l S NP 1917 1462 m 2014 1462 l S NP 1965 1652 m 2014 1652 l S NP 1965 1842 m 2014 1842 l S NP 1965 2032 m 2014 2032 l S NP 1965 2222 m 2014 2222 l S NP 1917 2412 m 2014 2412 l S NP 1965 2602 m 2014 2602 l S NP 1965 2792 m 2014 2792 l S NP 1965 2982 m 2014 2982 l S NP 1965 3172 m 2014 3172 l S NP 1917 3362 m 2014 3362 l S NP 1965 3552 m 2014 3552 l S NP 1965 3742 m 2014 3742 l S NP 1965 3932 m 2014 3932 l S NP 1965 4122 m 2014 4122 l S NP 1917 4312 m 2014 4312 l S medium setlinewidth NP 1750 500 m 15750 500 l S thin setlinewidth NP 2014 426 m 2014 500 l S NP 2463 463 m 2463 500 l S NP 2912 463 m 2912 500 l S NP 3360 463 m 3360 500 l S NP 3809 463 m 3809 500 l S NP 4258 426 m 4258 500 l S NP 4706 463 m 4706 500 l S NP 5155 463 m 5155 500 l S NP 5604 463 m 5604 500 l S NP 6052 463 m 6052 500 l S NP 6501 426 m 6501 500 l S NP 6950 463 m 6950 500 l S NP 7398 463 m 7398 500 l S NP 7847 463 m 7847 500 l S NP 8296 463 m 8296 500 l S NP 8745 426 m 8745 500 l S NP 9193 463 m 9193 500 l S NP 9642 463 m 9642 500 l S NP 10091 463 m 10091 500 l S NP 10539 463 m 10539 500 l S NP 10988 426 m 10988 500 l S NP 11437 463 m 11437 500 l S NP 11885 463 m 11885 500 l S NP 12334 463 m 12334 500 l S NP 12783 463 m 12783 500 l S NP 13232 426 m 13232 500 l S NP 13680 463 m 13680 500 l S NP 14129 463 m 14129 500 l S NP 14578 463 m 14578 500 l S NP 15026 463 m 15026 500 l S NP 15475 426 m 15475 500 l defaultFont S medium setlinewidth (0.45) dup 0 stringbbox 2 idiv 1462 exch sub exch 1875 exch sub exch m show (0.5) dup 0 stringbbox 2 idiv 2412 exch sub exch 1875 exch sub exch m show (0.55) dup 0 stringbbox 2 idiv 3362 exch sub exch 1875 exch sub exch m show (0.6) dup 0 stringbbox 2 idiv 4312 exch sub exch 1875 exch sub exch m show (0) dup 0 stringbbox 395 exch sub exch pop 2014 exch m show (5) dup 0 stringbbox 395 exch sub exch 2 idiv 4258 exch sub exch m show (10) dup 0 stringbbox 395 exch sub exch 2 idiv 6501 exch sub exch m show (15) dup 0 stringbbox 395 exch sub exch 2 idiv 8745 exch sub exch m show (20) dup 0 stringbbox 395 exch sub exch 2 idiv 10988 exch sub exch m show (25) dup 0 stringbbox 395 exch sub exch 2 idiv 13232 exch sub exch m show (30) dup 0 stringbbox 395 exch sub exch 2 idiv 15475 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 17500 bd sub 5000 bd sub l 17500 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 2000 35031 a(Figure)409 b(1:)566 b(The)410 b(piston)e(co)36 b(ordinate)410 b Fj(Y)698 b Fm(as)409 b(a)g(function)g(of)h(time)f Fj(\034)148 b Fm(.)571 b(Here)409 b Fj(L)369 b Fm(=)f(100,)415 b Fj(N)45200 35230 y Ff(\000)46356 35031 y Fm(=)369 b(500341,)2000 38242 y Fj(N)3042 38441 y Fs(+)4198 38242 y Fm(=)f(499888.)3951 42961 y(Initially)-108 b(,)500 b(the)485 b(piston)h(barely)g(mo)-36 b(v)g(es)486 b(ab)36 b(out)486 b(its)g(equilibrium)f(p)36 b(osition:)684 b(recall)486 b(that)f(the)h(h)-36 b(y-)2000 46171 y(dro)36 b(dynamic)586 b(tra)72 b(jectory)586 b(of)g(the)f(piston)h(is)25270 45835 y(\026)25073 46171 y Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))628 b Fi(\021)f Fm(0)p Fj(:)p Fm(5)587 b(for)f(all)g Fj(\034)776 b(>)627 b Fm(0)586 b(and)f(that)g(this)g(holds)2000 49381 y(exactly)539 b(for)f Fj(\034)694 b(<)546 b Fm(2)538 b(as)f Fj(L)546 b Fi(!)h(1)p Fm(,)564 b([CLS].)890 b(Then,)564 b(at)537 b(times)h Fj(\034)686 b Fm(b)36 b(et)-36 b(w)g(een)537 b(3)g(and)g(5,)564 b(the)537 b(random)2000 52591 y(vibrations)k(of)g (the)f(piston)f(gro)-36 b(w)541 b(and)f(b)36 b(ecome)541 b(quite)f(visible)h(on)g(the)e Fj(y)48 b Fm(-scale,)568 b(but)539 b(for)i(a)f(short)2000 55802 y(while)419 b(they)f(lo)36 b(ok)420 b(random.)572 b(After)419 b(that)e(the)h(piston)g(starts)g (tra)-36 b(v)g(elling)419 b(bac)-36 b(k)419 b(and)e(forth)h(along)i (the)2000 59012 y Fj(y)519 b Fm(axis,)481 b(making)472 b(excursions)f(farther)g(and)f(farther)h(a)-36 b(w)g(a)g(y)472 b(from)f(the)f(equilibrium)h(p)36 b(oin)-36 b(t)471 b Fj(y)480 b Fm(=)432 b(0)p Fj(:)p Fm(5.)2000 62222 y(V)-108 b(ery)535 b(so)36 b(on,)561 b(at)535 b Fj(\034)689 b Fm(=)541 b Fj(\034)13729 62421 y Fs(max)16077 62222 y Fi(\031)g Fm(8,)561 b(the)534 b(swinging)i(motion)f(of)g(the)f(piston)h (reac)-36 b(hes)535 b(its)f(maxim)-36 b(um,)2000 65432 y(\(\001)p Fj(Y)288 b Fm(\))5139 65631 y Fs(max)7410 65432 y Fm(=)464 b(max)222 b Fi(j)p Fj(Y)288 b Fm(\()p Fj(\034)148 b Fm(\))333 b Fi(\000)h Fm(0)p Fj(:)p Fm(5)p Fi(j)465 b(\031)f Fm(0)p Fj(:)p Fm(1.)747 b(Then)489 b(the)g(oscillations)i(of)g(the)d(piston)i(damp)36 b(en)488 b(in)i(size)2000 68642 y(and)441 b(seem)g(to)g(stabilize)h(at)g(an)f (amplitude)f Fj(A)382 b Fi(\031)h Fm(0)p Fj(:)p Fm(04.)602 b(A)-36 b(t)441 b(the)g(same)g(time)g(the)g(tra)72 b(jectory)443 b(of)f(the)2000 71853 y(piston)433 b(smo)36 b(othes)434 b(out)f(and)g(en)-36 b(ters)433 b(an)h(oscillatory)h(mo)36 b(de)434 b(with)g(a)f(p)36 b(erio)g(d)434 b Fj(\034)40465 72052 y Fs(p)26 b(er)42223 71853 y Fi(\031)369 b Fm(1)p Fj(:)p Fm(63.)26350 75417 y(10)p eop %%Page: 11 11 11 10 bop 3951 5424 a Fm(The)524 b(v)-36 b(elo)36 b(cit)-36 b(y)526 b(of)g(the)d(piston)h Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))524 b(follo)-36 b(ws)527 b(a)d(similar)i(pattern.)850 b(Its)524 b(random)g(\015uctuations)2000 8634 y(gro)-36 b(w)443 b(after)g Fj(\034)532 b Fi(\031)384 b Fm(2)p Fj(:)p Fm(5,)446 b(then)441 b(it)i(starts)f(swinging)h(up)e(and)h(do) -36 b(wn,)445 b(reac)-36 b(hes)442 b(the)g(maxim)-36 b(um)442 b(v)-72 b(alue)443 b(of)2000 11844 y Fj(W)3228 12043 y Fs(max)5443 11844 y Fm(=)408 b(max)222 b Fi(j)p Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))p Fi(j)408 b(\031)h Fm(0)p Fj(:)p Fm(4)458 b(at)f(time)g Fj(\034)557 b Fi(\031)408 b Fm(9)p Fj(:)p Fm(5.)650 b(After)457 b(that)f(the)g(oscillations)j(of) f Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))456 b(damp)36 b(en)2000 15055 y(and)433 b(seem)h(to)f(stabilize.)3889 30604 y @beginspecial 91 @llx 329 @lly 507 @urx 455 @ury 4160 @rwi @setspecial %%BeginDocument: pin2.eps %!PS-Adobe-3.0 EPSF-2.0 %%Title: Maple plot %%Creator: Maple %%Pages: 1 %%BoundingBox: 91 329 507 455 %%DocumentNeededResources: font Helvetica %%+ font Times-Italic %%+ font Symbol %%EndComments 20 dict begin gsave /drawborder false def /m {moveto} def /l {lineto} def /C {setrgbcolor} def /Y /setcmykcolor where { %%ifelse Use built-in operator /setcmykcolor get }{ %%ifelse Emulate setcmykcolor with setrgbcolor { %%def 1 sub 3 { %%repeat 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor } bind } ifelse def /G {setgray} def /S {stroke} def /NP {newpath} def %%%%This draws a filled polygon and avoids bugs/features %%%% of some postscript interpreters %%%%GHOSTSCRIPT: has a bug in reversepath - removing %%%%the call to reversepath is a sufficient work around /P {gsave fill grestore reversepath stroke} def %%%%This function is needed for drawing text. It takes two arguments: a %%%%string and a rotation. It outputs width and height. /stringbbox { gsave NP 0 0 m % Set origin for easy calculations. dup rotate exch % Set orientation, and put string on top. false charpath flattenpath 0 exch sub rotate % Undo rotation. pathbbox 4 2 roll pop pop % Get dimens. of our string. 1.1 mul cvi exch 1.1 mul cvi exch % Pad some. grestore} def /thin 3 def /medium 7 def /thick 16 def /boundarythick 20 def % thichess of bounding box %%IncludeResource: font Helvetica %%IncludeResource: font Times-Italic %%IncludeResource: font Symbol 54.000000 324.000000 translate /defaultTitleFont {/Helvetica findfont 711 scalefont setfont} def /defaultFont {/Helvetica findfont 295 scalefont setfont} def /userFont1 {/Times-Italic findfont 434 scalefont setfont} def /userFont2 {/Symbol findfont 434 scalefont setfont} def 0.0288 0.0288 scale 1 setlinejoin 1 setlinecap 0.0 setgray /inch {72 mul} def /fheight 0.35 inch neg def 0 G medium setlinewidth [] 0 setdash defaultFont NP 15471 2022 m 15475 1979 l S NP 15466 2049 m 15471 2022 l S NP 15462 2046 m 15466 2049 l S NP 15457 2098 m 15462 2046 l S NP 15453 2156 m 15457 2098 l S NP 15448 2216 m 15453 2156 l S NP 15444 2229 m 15448 2216 l S NP 15439 2257 m 15444 2229 l S NP 15435 2285 m 15439 2257 l S NP 15430 2324 m 15435 2285 l S NP 15426 2355 m 15430 2324 l S NP 15421 2385 m 15426 2355 l S NP 15417 2450 m 15421 2385 l S NP 15412 2487 m 15417 2450 l S NP 15408 2445 m 15412 2487 l S NP 15403 2495 m 15408 2445 l S NP 15399 2488 m 15403 2495 l S NP 15394 2514 m 15399 2488 l S NP 15390 2545 m 15394 2514 l S NP 15385 2608 m 15390 2545 l S NP 15381 2623 m 15385 2608 l S NP 15376 2674 m 15381 2623 l S NP 15372 2665 m 15376 2674 l S NP 15367 2669 m 15372 2665 l S NP 15363 2702 m 15367 2669 l S NP 15358 2748 m 15363 2702 l S NP 15354 2781 m 15358 2748 l S NP 15349 2802 m 15354 2781 l S NP 15345 2859 m 15349 2802 l S NP 15340 2870 m 15345 2859 l S NP 15336 2936 m 15340 2870 l S NP 15331 2935 m 15336 2936 l S NP 15327 2947 m 15331 2935 l S NP 15322 3005 m 15327 2947 l S NP 15318 3058 m 15322 3005 l S NP 15313 3080 m 15318 3058 l S NP 15309 3135 m 15313 3080 l S NP 15304 3185 m 15309 3135 l S NP 15300 3143 m 15304 3185 l S NP 15296 3154 m 15300 3143 l S NP 15291 3194 m 15296 3154 l S NP 15287 3180 m 15291 3194 l S NP 15282 3205 m 15287 3180 l S NP 15278 3269 m 15282 3205 l S NP 15273 3279 m 15278 3269 l S NP 15269 3261 m 15273 3279 l S NP 15264 3320 m 15269 3261 l S NP 15260 3293 m 15264 3320 l S NP 15255 3264 m 15260 3293 l S NP 15251 3318 m 15255 3264 l S NP 15246 3307 m 15251 3318 l S NP 15242 3313 m 15246 3307 l S NP 15237 3306 m 15242 3313 l S NP 15233 3291 m 15237 3306 l S NP 15228 3292 m 15233 3291 l S NP 15224 3325 m 15228 3292 l S NP 15219 3290 m 15224 3325 l S NP 15215 3330 m 15219 3290 l S NP 15210 3266 m 15215 3330 l S NP 15206 3271 m 15210 3266 l S NP 15201 3253 m 15206 3271 l S NP 15197 3255 m 15201 3253 l S NP 15192 3248 m 15197 3255 l S NP 15188 3240 m 15192 3248 l S NP 15183 3211 m 15188 3240 l S NP 15179 3208 m 15183 3211 l S NP 15174 3244 m 15179 3208 l S NP 15170 3253 m 15174 3244 l S NP 15165 3247 m 15170 3253 l S NP 15161 3157 m 15165 3247 l S NP 15156 3119 m 15161 3157 l S NP 15152 3099 m 15156 3119 l S NP 15147 3071 m 15152 3099 l S NP 15143 3056 m 15147 3071 l S NP 15138 3026 m 15143 3056 l S NP 15134 3043 m 15138 3026 l S NP 15129 3053 m 15134 3043 l S NP 15125 2955 m 15129 3053 l S NP 15121 2952 m 15125 2955 l S NP 15116 2900 m 15121 2952 l S NP 15112 2843 m 15116 2900 l S NP 15107 2799 m 15112 2843 l S NP 15103 2842 m 15107 2799 l S NP 15098 2808 m 15103 2842 l S NP 15094 2738 m 15098 2808 l S NP 15089 2731 m 15094 2738 l S NP 15085 2726 m 15089 2731 l S NP 15080 2720 m 15085 2726 l S NP 15076 2703 m 15080 2720 l S NP 15071 2705 m 15076 2703 l S NP 15067 2641 m 15071 2705 l S NP 15062 2598 m 15067 2641 l S NP 15058 2531 m 15062 2598 l S NP 15053 2536 m 15058 2531 l S NP 15049 2534 m 15053 2536 l S NP 15044 2575 m 15049 2534 l S NP 15040 2503 m 15044 2575 l S NP 15035 2468 m 15040 2503 l S NP 15031 2413 m 15035 2468 l S NP 15026 2369 m 15031 2413 l S NP 15022 2379 m 15026 2369 l S NP 15017 2337 m 15022 2379 l S NP 15013 2277 m 15017 2337 l S NP 15008 2318 m 15013 2277 l S NP 15004 2205 m 15008 2318 l S NP 14999 2174 m 15004 2205 l S NP 14995 2155 m 14999 2174 l S NP 14990 2108 m 14995 2155 l S NP 14986 2080 m 14990 2108 l S NP 14981 2059 m 14986 2080 l S NP 14977 2055 m 14981 2059 l S NP 14972 2002 m 14977 2055 l S NP 14968 1955 m 14972 2002 l S NP 14963 1973 m 14968 1955 l S NP 14959 1938 m 14963 1973 l S NP 14955 1927 m 14959 1938 l S NP 14950 1854 m 14955 1927 l S NP 14946 1849 m 14950 1854 l S NP 14941 1783 m 14946 1849 l S NP 14937 1732 m 14941 1783 l S NP 14932 1731 m 14937 1732 l S NP 14928 1714 m 14932 1731 l S NP 14923 1662 m 14928 1714 l S NP 14919 1664 m 14923 1662 l S NP 14914 1664 m 14919 1664 l S NP 14910 1659 m 14914 1664 l S NP 14905 1607 m 14910 1659 l S NP 14901 1603 m 14905 1607 l S NP 14896 1584 m 14901 1603 l S NP 14892 1612 m 14896 1584 l S NP 14887 1609 m 14892 1612 l S NP 14883 1591 m 14887 1609 l S NP 14878 1558 m 14883 1591 l S NP 14874 1605 m 14878 1558 l S NP 14869 1561 m 14874 1605 l S NP 14865 1582 m 14869 1561 l S NP 14860 1567 m 14865 1582 l S NP 14856 1582 m 14860 1567 l S NP 14851 1611 m 14856 1582 l S NP 14847 1616 m 14851 1611 l S NP 14842 1621 m 14847 1616 l S NP 14838 1583 m 14842 1621 l S NP 14833 1652 m 14838 1583 l S NP 14829 1615 m 14833 1652 l S NP 14824 1584 m 14829 1615 l S NP 14820 1571 m 14824 1584 l S NP 14815 1557 m 14820 1571 l S NP 14811 1625 m 14815 1557 l S NP 14806 1608 m 14811 1625 l S NP 14802 1615 m 14806 1608 l S NP 14797 1624 m 14802 1615 l S NP 14793 1598 m 14797 1624 l S NP 14788 1623 m 14793 1598 l S NP 14784 1660 m 14788 1623 l S NP 14780 1677 m 14784 1660 l S NP 14775 1685 m 14780 1677 l S NP 14771 1717 m 14775 1685 l S NP 14766 1718 m 14771 1717 l S NP 14762 1751 m 14766 1718 l S NP 14757 1828 m 14762 1751 l S NP 14753 1849 m 14757 1828 l S NP 14748 1900 m 14753 1849 l S NP 14744 1898 m 14748 1900 l S NP 14739 1922 m 14744 1898 l S NP 14735 1988 m 14739 1922 l S NP 14730 2000 m 14735 1988 l S NP 14726 2051 m 14730 2000 l S NP 14721 2055 m 14726 2051 l S NP 14717 2055 m 14721 2055 l S NP 14712 2129 m 14717 2055 l S NP 14708 2180 m 14712 2129 l S NP 14703 2183 m 14708 2180 l S NP 14699 2214 m 14703 2183 l S NP 14694 2307 m 14699 2214 l S NP 14690 2317 m 14694 2307 l S NP 14685 2361 m 14690 2317 l S NP 14681 2374 m 14685 2361 l S NP 14676 2504 m 14681 2374 l S NP 14672 2488 m 14676 2504 l S NP 14667 2503 m 14672 2488 l S NP 14663 2538 m 14667 2503 l S NP 14658 2562 m 14663 2538 l S NP 14654 2609 m 14658 2562 l S NP 14649 2664 m 14654 2609 l S NP 14645 2687 m 14649 2664 l S NP 14640 2738 m 14645 2687 l S NP 14636 2722 m 14640 2738 l S NP 14631 2757 m 14636 2722 l S NP 14627 2819 m 14631 2757 l S NP 14622 2816 m 14627 2819 l S NP 14618 2847 m 14622 2816 l S NP 14613 2817 m 14618 2847 l S NP 14609 2863 m 14613 2817 l S NP 14605 2912 m 14609 2863 l S NP 14600 2954 m 14605 2912 l S NP 14596 2987 m 14600 2954 l S NP 14591 3024 m 14596 2987 l S NP 14587 3091 m 14591 3024 l S NP 14582 3107 m 14587 3091 l S NP 14578 3110 m 14582 3107 l S NP 14573 3152 m 14578 3110 l S NP 14569 3166 m 14573 3152 l S NP 14564 3139 m 14569 3166 l S NP 14560 3221 m 14564 3139 l S NP 14555 3163 m 14560 3221 l S NP 14551 3189 m 14555 3163 l S NP 14546 3263 m 14551 3189 l S NP 14542 3273 m 14546 3263 l S NP 14537 3262 m 14542 3273 l S NP 14533 3280 m 14537 3262 l S NP 14528 3283 m 14533 3280 l S NP 14524 3312 m 14528 3283 l S NP 14519 3388 m 14524 3312 l S NP 14515 3393 m 14519 3388 l S NP 14510 3402 m 14515 3393 l S NP 14506 3428 m 14510 3402 l S NP 14501 3408 m 14506 3428 l S NP 14497 3430 m 14501 3408 l S NP 14492 3388 m 14497 3430 l S NP 14488 3400 m 14492 3388 l S NP 14483 3389 m 14488 3400 l S NP 14479 3362 m 14483 3389 l S NP 14474 3343 m 14479 3362 l S NP 14470 3312 m 14474 3343 l S NP 14465 3255 m 14470 3312 l S NP 14461 3297 m 14465 3255 l S NP 14456 3277 m 14461 3297 l S NP 14452 3238 m 14456 3277 l S NP 14447 3218 m 14452 3238 l S NP 14443 3234 m 14447 3218 l S NP 14439 3240 m 14443 3234 l S NP 14434 3232 m 14439 3240 l S NP 14430 3202 m 14434 3232 l S NP 14425 3176 m 14430 3202 l S NP 14421 3156 m 14425 3176 l S NP 14416 3139 m 14421 3156 l S NP 14412 3057 m 14416 3139 l S NP 14407 3099 m 14412 3057 l S NP 14403 3043 m 14407 3099 l S NP 14398 2995 m 14403 3043 l S NP 14394 2981 m 14398 2995 l S NP 14389 2961 m 14394 2981 l S NP 14385 2987 m 14389 2961 l S NP 14380 2932 m 14385 2987 l S NP 14376 2873 m 14380 2932 l S NP 14371 2823 m 14376 2873 l S NP 14367 2784 m 14371 2823 l S NP 14362 2754 m 14367 2784 l S NP 14358 2678 m 14362 2754 l S NP 14353 2665 m 14358 2678 l S NP 14349 2649 m 14353 2665 l S NP 14344 2591 m 14349 2649 l S NP 14340 2585 m 14344 2591 l S NP 14335 2561 m 14340 2585 l S NP 14331 2543 m 14335 2561 l S NP 14326 2531 m 14331 2543 l S NP 14322 2544 m 14326 2531 l S NP 14317 2515 m 14322 2544 l S NP 14313 2454 m 14317 2515 l S NP 14308 2460 m 14313 2454 l S NP 14304 2408 m 14308 2460 l S NP 14299 2430 m 14304 2408 l S NP 14295 2390 m 14299 2430 l S NP 14290 2335 m 14295 2390 l S NP 14286 2333 m 14290 2335 l S NP 14281 2343 m 14286 2333 l S NP 14277 2258 m 14281 2343 l S NP 14272 2319 m 14277 2258 l S NP 14268 2225 m 14272 2319 l S NP 14264 2169 m 14268 2225 l S NP 14259 2153 m 14264 2169 l S NP 14255 2109 m 14259 2153 l S NP 14250 2122 m 14255 2109 l S NP 14246 2098 m 14250 2122 l S NP 14241 2021 m 14246 2098 l S NP 14237 1912 m 14241 2021 l S NP 14232 1889 m 14237 1912 l S NP 14228 1855 m 14232 1889 l S NP 14223 1839 m 14228 1855 l S NP 14219 1838 m 14223 1839 l S NP 14214 1850 m 14219 1838 l S NP 14210 1800 m 14214 1850 l S NP 14205 1739 m 14210 1800 l S NP 14201 1754 m 14205 1739 l S NP 14196 1702 m 14201 1754 l S NP 14192 1655 m 14196 1702 l S NP 14187 1642 m 14192 1655 l S NP 14183 1625 m 14187 1642 l S NP 14178 1648 m 14183 1625 l S NP 14174 1681 m 14178 1648 l S NP 14169 1605 m 14174 1681 l S NP 14165 1613 m 14169 1605 l S NP 14160 1654 m 14165 1613 l S NP 14156 1574 m 14160 1654 l S NP 14151 1577 m 14156 1574 l S NP 14147 1556 m 14151 1577 l S NP 14142 1518 m 14147 1556 l S NP 14138 1559 m 14142 1518 l S NP 14133 1565 m 14138 1559 l S NP 14129 1570 m 14133 1565 l S NP 14124 1571 m 14129 1570 l S NP 14120 1559 m 14124 1571 l S NP 14115 1569 m 14120 1559 l S NP 14111 1572 m 14115 1569 l S NP 14106 1549 m 14111 1572 l S NP 14102 1579 m 14106 1549 l S NP 14097 1607 m 14102 1579 l S NP 14093 1567 m 14097 1607 l S NP 14089 1579 m 14093 1567 l S NP 14084 1588 m 14089 1579 l S NP 14080 1595 m 14084 1588 l S NP 14075 1667 m 14080 1595 l S NP 14071 1640 m 14075 1667 l S NP 14066 1650 m 14071 1640 l S NP 14062 1647 m 14066 1650 l S NP 14057 1711 m 14062 1647 l S NP 14053 1782 m 14057 1711 l S NP 14048 1778 m 14053 1782 l S NP 14044 1803 m 14048 1778 l S NP 14039 1805 m 14044 1803 l S NP 14035 1819 m 14039 1805 l S NP 14030 1796 m 14035 1819 l S NP 14026 1868 m 14030 1796 l S NP 14021 1865 m 14026 1868 l S NP 14017 1891 m 14021 1865 l S NP 14012 1860 m 14017 1891 l S NP 14008 1890 m 14012 1860 l S NP 14003 1939 m 14008 1890 l S NP 13999 1920 m 14003 1939 l S NP 13994 1960 m 13999 1920 l S NP 13990 2029 m 13994 1960 l S NP 13985 2067 m 13990 2029 l S NP 13981 2102 m 13985 2067 l S NP 13976 2158 m 13981 2102 l S NP 13972 2150 m 13976 2158 l S NP 13967 2175 m 13972 2150 l S NP 13963 2219 m 13967 2175 l S NP 13958 2263 m 13963 2219 l S NP 13954 2243 m 13958 2263 l S NP 13949 2288 m 13954 2243 l S NP 13945 2376 m 13949 2288 l S NP 13940 2376 m 13945 2376 l S NP 13936 2456 m 13940 2376 l S NP 13931 2494 m 13936 2456 l S NP 13927 2545 m 13931 2494 l S NP 13923 2624 m 13927 2545 l S NP 13918 2598 m 13923 2624 l S NP 13914 2596 m 13918 2598 l S NP 13909 2624 m 13914 2596 l S NP 13905 2673 m 13909 2624 l S NP 13900 2683 m 13905 2673 l S NP 13896 2706 m 13900 2683 l S NP 13891 2795 m 13896 2706 l S NP 13887 2846 m 13891 2795 l S NP 13882 2877 m 13887 2846 l S NP 13878 2884 m 13882 2877 l S NP 13873 2910 m 13878 2884 l S NP 13869 2959 m 13873 2910 l S NP 13864 2971 m 13869 2959 l S NP 13860 3050 m 13864 2971 l S NP 13855 3000 m 13860 3050 l S NP 13851 3082 m 13855 3000 l S NP 13846 3118 m 13851 3082 l S NP 13842 3119 m 13846 3118 l S NP 13837 3215 m 13842 3119 l S NP 13833 3234 m 13837 3215 l S NP 13828 3187 m 13833 3234 l S NP 13824 3169 m 13828 3187 l S NP 13819 3169 m 13824 3169 l S NP 13815 3206 m 13819 3169 l S NP 13810 3262 m 13815 3206 l S NP 13806 3288 m 13810 3262 l S NP 13801 3318 m 13806 3288 l S NP 13797 3350 m 13801 3318 l S NP 13792 3348 m 13797 3350 l S NP 13788 3339 m 13792 3348 l S NP 13783 3349 m 13788 3339 l S NP 13779 3337 m 13783 3349 l S NP 13774 3319 m 13779 3337 l S NP 13770 3310 m 13774 3319 l S NP 13765 3345 m 13770 3310 l S NP 13761 3343 m 13765 3345 l S NP 13756 3374 m 13761 3343 l S NP 13752 3332 m 13756 3374 l S NP 13748 3359 m 13752 3332 l S NP 13743 3379 m 13748 3359 l S NP 13739 3379 m 13743 3379 l S NP 13734 3369 m 13739 3379 l S NP 13730 3367 m 13734 3369 l S NP 13725 3339 m 13730 3367 l S NP 13721 3344 m 13725 3339 l S NP 13716 3302 m 13721 3344 l S NP 13712 3308 m 13716 3302 l S NP 13707 3258 m 13712 3308 l S NP 13703 3300 m 13707 3258 l S NP 13698 3261 m 13703 3300 l S NP 13694 3200 m 13698 3261 l S NP 13689 3189 m 13694 3200 l S NP 13685 3164 m 13689 3189 l S NP 13680 3137 m 13685 3164 l S NP 13676 3063 m 13680 3137 l S NP 13671 3038 m 13676 3063 l S NP 13667 2970 m 13671 3038 l S NP 13662 3014 m 13667 2970 l S NP 13658 2978 m 13662 3014 l S NP 13653 2974 m 13658 2978 l S NP 13649 2923 m 13653 2974 l S NP 13644 2892 m 13649 2923 l S NP 13640 2872 m 13644 2892 l S NP 13635 2832 m 13640 2872 l S NP 13631 2770 m 13635 2832 l S NP 13626 2782 m 13631 2770 l S NP 13622 2732 m 13626 2782 l S NP 13617 2696 m 13622 2732 l S NP 13613 2660 m 13617 2696 l S NP 13608 2574 m 13613 2660 l S NP 13604 2579 m 13608 2574 l S NP 13599 2547 m 13604 2579 l S NP 13595 2534 m 13599 2547 l S NP 13590 2504 m 13595 2534 l S NP 13586 2501 m 13590 2504 l S NP 13581 2449 m 13586 2501 l S NP 13577 2418 m 13581 2449 l S NP 13573 2392 m 13577 2418 l S NP 13568 2370 m 13573 2392 l S NP 13564 2336 m 13568 2370 l S NP 13559 2276 m 13564 2336 l S NP 13555 2267 m 13559 2276 l S NP 13550 2233 m 13555 2267 l S NP 13546 2203 m 13550 2233 l S NP 13541 2169 m 13546 2203 l S NP 13537 2142 m 13541 2169 l S NP 13532 2122 m 13537 2142 l S NP 13528 2090 m 13532 2122 l S NP 13523 2119 m 13528 2090 l S NP 13519 2135 m 13523 2119 l S NP 13514 2089 m 13519 2135 l S NP 13510 2013 m 13514 2089 l S NP 13505 1918 m 13510 2013 l S NP 13501 1902 m 13505 1918 l S NP 13496 1900 m 13501 1902 l S NP 13492 1914 m 13496 1900 l S NP 13487 1859 m 13492 1914 l S NP 13483 1804 m 13487 1859 l S NP 13478 1803 m 13483 1804 l S NP 13474 1747 m 13478 1803 l S NP 13469 1777 m 13474 1747 l S NP 13465 1755 m 13469 1777 l S NP 13460 1769 m 13465 1755 l S NP 13456 1730 m 13460 1769 l S NP 13451 1765 m 13456 1730 l S NP 13447 1745 m 13451 1765 l S NP 13442 1678 m 13447 1745 l S NP 13438 1683 m 13442 1678 l S NP 13433 1634 m 13438 1683 l S NP 13429 1644 m 13433 1634 l S NP 13424 1613 m 13429 1644 l S NP 13420 1620 m 13424 1613 l S NP 13415 1588 m 13420 1620 l S NP 13411 1586 m 13415 1588 l S NP 13407 1608 m 13411 1586 l S NP 13402 1623 m 13407 1608 l S NP 13398 1606 m 13402 1623 l S NP 13393 1520 m 13398 1606 l S NP 13389 1501 m 13393 1520 l S NP 13384 1535 m 13389 1501 l S NP 13380 1560 m 13384 1535 l S NP 13375 1509 m 13380 1560 l S NP 13371 1524 m 13375 1509 l S NP 13366 1536 m 13371 1524 l S NP 13362 1531 m 13366 1536 l S NP 13357 1551 m 13362 1531 l S NP 13353 1580 m 13357 1551 l S NP 13348 1598 m 13353 1580 l S NP 13344 1616 m 13348 1598 l S NP 13339 1646 m 13344 1616 l S NP 13335 1680 m 13339 1646 l S NP 13330 1674 m 13335 1680 l S NP 13326 1704 m 13330 1674 l S NP 13321 1688 m 13326 1704 l S NP 13317 1755 m 13321 1688 l S NP 13312 1824 m 13317 1755 l S NP 13308 1792 m 13312 1824 l S NP 13303 1829 m 13308 1792 l S NP 13299 1858 m 13303 1829 l S NP 13294 1879 m 13299 1858 l S NP 13290 1900 m 13294 1879 l S NP 13285 1919 m 13290 1900 l S NP 13281 1982 m 13285 1919 l S NP 13276 1976 m 13281 1982 l S NP 13272 2003 m 13276 1976 l S NP 13267 2044 m 13272 2003 l S NP 13263 2027 m 13267 2044 l S NP 13258 2076 m 13263 2027 l S NP 13254 2074 m 13258 2076 l S NP 13249 2117 m 13254 2074 l S NP 13245 2132 m 13249 2117 l S NP 13240 2175 m 13245 2132 l S NP 13236 2243 m 13240 2175 l S NP 13232 2261 m 13236 2243 l S NP 13227 2242 m 13232 2261 l S NP 13223 2249 m 13227 2242 l S NP 13218 2291 m 13223 2249 l S NP 13214 2331 m 13218 2291 l S NP 13209 2373 m 13214 2331 l S NP 13205 2425 m 13209 2373 l S NP 13200 2419 m 13205 2425 l S NP 13196 2430 m 13200 2419 l S NP 13191 2461 m 13196 2430 l S NP 13187 2528 m 13191 2461 l S NP 13182 2522 m 13187 2528 l S NP 13178 2553 m 13182 2522 l S NP 13173 2571 m 13178 2553 l S NP 13169 2669 m 13173 2571 l S NP 13164 2683 m 13169 2669 l S NP 13160 2731 m 13164 2683 l S NP 13155 2785 m 13160 2731 l S NP 13151 2797 m 13155 2785 l S NP 13146 2813 m 13151 2797 l S NP 13142 2844 m 13146 2813 l S NP 13137 2897 m 13142 2844 l S NP 13133 2958 m 13137 2897 l S NP 13128 3010 m 13133 2958 l S NP 13124 3089 m 13128 3010 l S NP 13119 3114 m 13124 3089 l S NP 13115 3097 m 13119 3114 l S NP 13110 3104 m 13115 3097 l S NP 13106 3114 m 13110 3104 l S NP 13101 3153 m 13106 3114 l S NP 13097 3135 m 13101 3153 l S NP 13092 3166 m 13097 3135 l S NP 13088 3220 m 13092 3166 l S NP 13083 3196 m 13088 3220 l S NP 13079 3219 m 13083 3196 l S NP 13074 3237 m 13079 3219 l S NP 13070 3260 m 13074 3237 l S NP 13065 3316 m 13070 3260 l S NP 13061 3301 m 13065 3316 l S NP 13057 3292 m 13061 3301 l S NP 13052 3307 m 13057 3292 l S NP 13048 3380 m 13052 3307 l S NP 13043 3346 m 13048 3380 l S NP 13039 3335 m 13043 3346 l S NP 13034 3341 m 13039 3335 l S NP 13030 3379 m 13034 3341 l S NP 13025 3367 m 13030 3379 l S NP 13021 3390 m 13025 3367 l S NP 13016 3377 m 13021 3390 l S NP 13012 3325 m 13016 3377 l S NP 13007 3360 m 13012 3325 l S NP 13003 3348 m 13007 3360 l S NP 12998 3315 m 13003 3348 l S NP 12994 3348 m 12998 3315 l S NP 12989 3339 m 12994 3348 l S NP 12985 3287 m 12989 3339 l S NP 12980 3302 m 12985 3287 l S NP 12976 3250 m 12980 3302 l S NP 12971 3223 m 12976 3250 l S NP 12967 3189 m 12971 3223 l S NP 12962 3190 m 12967 3189 l S NP 12958 3168 m 12962 3190 l S NP 12953 3106 m 12958 3168 l S NP 12949 3121 m 12953 3106 l S NP 12944 3144 m 12949 3121 l S NP 12940 3086 m 12944 3144 l S NP 12935 3059 m 12940 3086 l S NP 12931 3047 m 12935 3059 l S NP 12926 3045 m 12931 3047 l S NP 12922 3066 m 12926 3045 l S NP 12917 3037 m 12922 3066 l S NP 12913 2978 m 12917 3037 l S NP 12908 2922 m 12913 2978 l S NP 12904 2911 m 12908 2922 l S NP 12899 2873 m 12904 2911 l S NP 12895 2813 m 12899 2873 l S NP 12891 2807 m 12895 2813 l S NP 12886 2769 m 12891 2807 l S NP 12882 2736 m 12886 2769 l S NP 12877 2711 m 12882 2736 l S NP 12873 2672 m 12877 2711 l S NP 12868 2636 m 12873 2672 l S NP 12864 2633 m 12868 2636 l S NP 12859 2567 m 12864 2633 l S NP 12855 2488 m 12859 2567 l S NP 12850 2531 m 12855 2488 l S NP 12846 2474 m 12850 2531 l S NP 12841 2466 m 12846 2474 l S NP 12837 2442 m 12841 2466 l S NP 12832 2379 m 12837 2442 l S NP 12828 2295 m 12832 2379 l S NP 12823 2295 m 12828 2295 l S NP 12819 2270 m 12823 2295 l S NP 12814 2244 m 12819 2270 l S NP 12810 2199 m 12814 2244 l S NP 12805 2154 m 12810 2199 l S NP 12801 2130 m 12805 2154 l S NP 12796 2067 m 12801 2130 l S NP 12792 2053 m 12796 2067 l S NP 12787 2017 m 12792 2053 l S NP 12783 1979 m 12787 2017 l S NP 12778 1925 m 12783 1979 l S NP 12774 1889 m 12778 1925 l S NP 12769 1879 m 12774 1889 l S NP 12765 1852 m 12769 1879 l S NP 12760 1866 m 12765 1852 l S NP 12756 1833 m 12760 1866 l S NP 12751 1770 m 12756 1833 l S NP 12747 1766 m 12751 1770 l S NP 12742 1722 m 12747 1766 l S NP 12738 1768 m 12742 1722 l S NP 12733 1747 m 12738 1768 l S NP 12729 1719 m 12733 1747 l S NP 12724 1688 m 12729 1719 l S NP 12720 1699 m 12724 1688 l S NP 12716 1707 m 12720 1699 l S NP 12711 1684 m 12716 1707 l S NP 12707 1690 m 12711 1684 l S NP 12702 1708 m 12707 1690 l S NP 12698 1731 m 12702 1708 l S NP 12693 1714 m 12698 1731 l S NP 12689 1681 m 12693 1714 l S NP 12684 1618 m 12689 1681 l S NP 12680 1628 m 12684 1618 l S NP 12675 1563 m 12680 1628 l S NP 12671 1597 m 12675 1563 l S NP 12666 1587 m 12671 1597 l S NP 12662 1582 m 12666 1587 l S NP 12657 1593 m 12662 1582 l S NP 12653 1547 m 12657 1593 l S NP 12648 1550 m 12653 1547 l S NP 12644 1559 m 12648 1550 l S NP 12639 1567 m 12644 1559 l S NP 12635 1549 m 12639 1567 l S NP 12630 1548 m 12635 1549 l S NP 12626 1573 m 12630 1548 l S NP 12621 1575 m 12626 1573 l S NP 12617 1591 m 12621 1575 l S NP 12612 1605 m 12617 1591 l S NP 12608 1609 m 12612 1605 l S NP 12603 1637 m 12608 1609 l S NP 12599 1662 m 12603 1637 l S NP 12594 1678 m 12599 1662 l S NP 12590 1671 m 12594 1678 l S NP 12585 1711 m 12590 1671 l S NP 12581 1764 m 12585 1711 l S NP 12576 1776 m 12581 1764 l S NP 12572 1837 m 12576 1776 l S NP 12567 1854 m 12572 1837 l S NP 12563 1807 m 12567 1854 l S NP 12558 1842 m 12563 1807 l S NP 12554 1873 m 12558 1842 l S NP 12549 1850 m 12554 1873 l S NP 12545 1888 m 12549 1850 l S NP 12541 1926 m 12545 1888 l S NP 12536 1986 m 12541 1926 l S NP 12532 2042 m 12536 1986 l S NP 12527 2069 m 12532 2042 l S NP 12523 2062 m 12527 2069 l S NP 12518 2046 m 12523 2062 l S NP 12514 2107 m 12518 2046 l S NP 12509 2104 m 12514 2107 l S NP 12505 2209 m 12509 2104 l S NP 12500 2208 m 12505 2209 l S NP 12496 2271 m 12500 2208 l S NP 12491 2385 m 12496 2271 l S NP 12487 2453 m 12491 2385 l S NP 12482 2455 m 12487 2453 l S NP 12478 2409 m 12482 2455 l S NP 12473 2459 m 12478 2409 l S NP 12469 2469 m 12473 2459 l S NP 12464 2468 m 12469 2469 l S NP 12460 2461 m 12464 2468 l S NP 12455 2432 m 12460 2461 l S NP 12451 2486 m 12455 2432 l S NP 12446 2524 m 12451 2486 l S NP 12442 2541 m 12446 2524 l S NP 12437 2569 m 12442 2541 l S NP 12433 2566 m 12437 2569 l S NP 12428 2625 m 12433 2566 l S NP 12424 2693 m 12428 2625 l S NP 12419 2721 m 12424 2693 l S NP 12415 2789 m 12419 2721 l S NP 12410 2887 m 12415 2789 l S NP 12406 2859 m 12410 2887 l S NP 12401 2920 m 12406 2859 l S NP 12397 2995 m 12401 2920 l S NP 12392 2974 m 12397 2995 l S NP 12388 3004 m 12392 2974 l S NP 12383 3023 m 12388 3004 l S NP 12379 3090 m 12383 3023 l S NP 12375 3095 m 12379 3090 l S NP 12370 3131 m 12375 3095 l S NP 12366 3167 m 12370 3131 l S NP 12361 3146 m 12366 3167 l S NP 12357 3188 m 12361 3146 l S NP 12352 3186 m 12357 3188 l S NP 12348 3211 m 12352 3186 l S NP 12343 3247 m 12348 3211 l S NP 12339 3265 m 12343 3247 l S NP 12334 3228 m 12339 3265 l S NP 12330 3278 m 12334 3228 l S NP 12325 3304 m 12330 3278 l S NP 12321 3291 m 12325 3304 l S NP 12316 3308 m 12321 3291 l S NP 12312 3290 m 12316 3308 l S NP 12307 3247 m 12312 3290 l S NP 12303 3339 m 12307 3247 l S NP 12298 3341 m 12303 3339 l S NP 12294 3246 m 12298 3341 l S NP 12289 3266 m 12294 3246 l S NP 12285 3316 m 12289 3266 l S NP 12280 3343 m 12285 3316 l S NP 12276 3355 m 12280 3343 l S NP 12271 3313 m 12276 3355 l S NP 12267 3346 m 12271 3313 l S NP 12262 3352 m 12267 3346 l S NP 12258 3341 m 12262 3352 l S NP 12253 3350 m 12258 3341 l S NP 12249 3376 m 12253 3350 l S NP 12244 3339 m 12249 3376 l S NP 12240 3328 m 12244 3339 l S NP 12235 3288 m 12240 3328 l S NP 12231 3255 m 12235 3288 l S NP 12226 3273 m 12231 3255 l S NP 12222 3235 m 12226 3273 l S NP 12217 3214 m 12222 3235 l S NP 12213 3198 m 12217 3214 l S NP 12208 3198 m 12213 3198 l S NP 12204 3182 m 12208 3198 l S NP 12200 3127 m 12204 3182 l S NP 12195 3105 m 12200 3127 l S NP 12191 3051 m 12195 3105 l S NP 12186 3036 m 12191 3051 l S NP 12182 2971 m 12186 3036 l S NP 12177 2986 m 12182 2971 l S NP 12173 2943 m 12177 2986 l S NP 12168 2904 m 12173 2943 l S NP 12164 2915 m 12168 2904 l S NP 12159 2914 m 12164 2915 l S NP 12155 2908 m 12159 2914 l S NP 12150 2870 m 12155 2908 l S NP 12146 2803 m 12150 2870 l S NP 12141 2749 m 12146 2803 l S NP 12137 2751 m 12141 2749 l S NP 12132 2716 m 12137 2751 l S NP 12128 2650 m 12132 2716 l S NP 12123 2604 m 12128 2650 l S NP 12119 2597 m 12123 2604 l S NP 12114 2565 m 12119 2597 l S NP 12110 2464 m 12114 2565 l S NP 12105 2441 m 12110 2464 l S NP 12101 2467 m 12105 2441 l S NP 12096 2414 m 12101 2467 l S NP 12092 2378 m 12096 2414 l S NP 12087 2360 m 12092 2378 l S NP 12083 2252 m 12087 2360 l S NP 12078 2179 m 12083 2252 l S NP 12074 2173 m 12078 2179 l S NP 12069 2078 m 12074 2173 l S NP 12065 2075 m 12069 2078 l S NP 12060 2115 m 12065 2075 l S NP 12056 2089 m 12060 2115 l S NP 12051 2049 m 12056 2089 l S NP 12047 1958 m 12051 2049 l S NP 12042 1896 m 12047 1958 l S NP 12038 1922 m 12042 1896 l S NP 12033 1890 m 12038 1922 l S NP 12029 1869 m 12033 1890 l S NP 12025 1854 m 12029 1869 l S NP 12020 1842 m 12025 1854 l S NP 12016 1783 m 12020 1842 l S NP 12011 1727 m 12016 1783 l S NP 12007 1668 m 12011 1727 l S NP 12002 1666 m 12007 1668 l S NP 11998 1731 m 12002 1666 l S NP 11993 1699 m 11998 1731 l S NP 11989 1633 m 11993 1699 l S NP 11984 1682 m 11989 1633 l S NP 11980 1637 m 11984 1682 l S NP 11975 1653 m 11980 1637 l S NP 11971 1647 m 11975 1653 l S NP 11966 1663 m 11971 1647 l S NP 11962 1664 m 11966 1663 l S NP 11957 1666 m 11962 1664 l S NP 11953 1617 m 11957 1666 l S NP 11948 1541 m 11953 1617 l S NP 11944 1541 m 11948 1541 l S NP 11939 1550 m 11944 1541 l S NP 11935 1469 m 11939 1550 l S NP 11930 1465 m 11935 1469 l S NP 11926 1488 m 11930 1465 l S NP 11921 1477 m 11926 1488 l S NP 11917 1449 m 11921 1477 l S NP 11912 1484 m 11917 1449 l S NP 11908 1524 m 11912 1484 l S NP 11903 1536 m 11908 1524 l S NP 11899 1583 m 11903 1536 l S NP 11894 1601 m 11899 1583 l S NP 11890 1523 m 11894 1601 l S NP 11885 1608 m 11890 1523 l S NP 11881 1637 m 11885 1608 l S NP 11876 1649 m 11881 1637 l S NP 11872 1654 m 11876 1649 l S NP 11867 1609 m 11872 1654 l S NP 11863 1653 m 11867 1609 l S NP 11859 1639 m 11863 1653 l S NP 11854 1670 m 11859 1639 l S NP 11850 1735 m 11854 1670 l S NP 11845 1758 m 11850 1735 l S NP 11841 1780 m 11845 1758 l S NP 11836 1808 m 11841 1780 l S NP 11832 1789 m 11836 1808 l S NP 11827 1817 m 11832 1789 l S NP 11823 1796 m 11827 1817 l S NP 11818 1873 m 11823 1796 l S NP 11814 1910 m 11818 1873 l S NP 11809 1927 m 11814 1910 l S NP 11805 1955 m 11809 1927 l S NP 11800 1973 m 11805 1955 l S NP 11796 2025 m 11800 1973 l S NP 11791 2121 m 11796 2025 l S NP 11787 2165 m 11791 2121 l S NP 11782 2181 m 11787 2165 l S NP 11778 2226 m 11782 2181 l S NP 11773 2232 m 11778 2226 l S NP 11769 2178 m 11773 2232 l S NP 11764 2219 m 11769 2178 l S NP 11760 2283 m 11764 2219 l S NP 11755 2345 m 11760 2283 l S NP 11751 2387 m 11755 2345 l S NP 11746 2408 m 11751 2387 l S NP 11742 2429 m 11746 2408 l S NP 11737 2379 m 11742 2429 l S NP 11733 2433 m 11737 2379 l S NP 11728 2523 m 11733 2433 l S NP 11724 2489 m 11728 2523 l S NP 11719 2470 m 11724 2489 l S NP 11715 2548 m 11719 2470 l S NP 11710 2550 m 11715 2548 l S NP 11706 2612 m 11710 2550 l S NP 11701 2595 m 11706 2612 l S NP 11697 2673 m 11701 2595 l S NP 11692 2660 m 11697 2673 l S NP 11688 2717 m 11692 2660 l S NP 11684 2751 m 11688 2717 l S NP 11679 2798 m 11684 2751 l S NP 11675 2862 m 11679 2798 l S NP 11670 2915 m 11675 2862 l S NP 11666 2880 m 11670 2915 l S NP 11661 2948 m 11666 2880 l S NP 11657 3044 m 11661 2948 l S NP 11652 3099 m 11657 3044 l S NP 11648 3032 m 11652 3099 l S NP 11643 3028 m 11648 3032 l S NP 11639 3042 m 11643 3028 l S NP 11634 3070 m 11639 3042 l S NP 11630 3101 m 11634 3070 l S NP 11625 3149 m 11630 3101 l S NP 11621 3193 m 11625 3149 l S NP 11616 3177 m 11621 3193 l S NP 11612 3179 m 11616 3177 l S NP 11607 3226 m 11612 3179 l S NP 11603 3213 m 11607 3226 l S NP 11598 3209 m 11603 3213 l S NP 11594 3263 m 11598 3209 l S NP 11589 3242 m 11594 3263 l S NP 11585 3287 m 11589 3242 l S NP 11580 3276 m 11585 3287 l S NP 11576 3307 m 11580 3276 l S NP 11571 3315 m 11576 3307 l S NP 11567 3330 m 11571 3315 l S NP 11562 3306 m 11567 3330 l S NP 11558 3352 m 11562 3306 l S NP 11553 3311 m 11558 3352 l S NP 11549 3377 m 11553 3311 l S NP 11544 3367 m 11549 3377 l S NP 11540 3366 m 11544 3367 l S NP 11535 3331 m 11540 3366 l S NP 11531 3319 m 11535 3331 l S NP 11526 3321 m 11531 3319 l S NP 11522 3349 m 11526 3321 l S NP 11518 3327 m 11522 3349 l S NP 11513 3300 m 11518 3327 l S NP 11509 3295 m 11513 3300 l S NP 11504 3305 m 11509 3295 l S NP 11500 3232 m 11504 3305 l S NP 11495 3238 m 11500 3232 l S NP 11491 3231 m 11495 3238 l S NP 11486 3263 m 11491 3231 l S NP 11482 3215 m 11486 3263 l S NP 11477 3239 m 11482 3215 l S NP 11473 3149 m 11477 3239 l S NP 11468 3167 m 11473 3149 l S NP 11464 3150 m 11468 3167 l S NP 11459 3121 m 11464 3150 l S NP 11455 3087 m 11459 3121 l S NP 11450 3004 m 11455 3087 l S NP 11446 3008 m 11450 3004 l S NP 11441 3007 m 11446 3008 l S NP 11437 2955 m 11441 3007 l S NP 11432 3002 m 11437 2955 l S NP 11428 2992 m 11432 3002 l S NP 11423 2955 m 11428 2992 l S NP 11419 2972 m 11423 2955 l S NP 11414 2876 m 11419 2972 l S NP 11410 2811 m 11414 2876 l S NP 11405 2840 m 11410 2811 l S NP 11401 2780 m 11405 2840 l S NP 11396 2754 m 11401 2780 l S NP 11392 2698 m 11396 2754 l S NP 11387 2645 m 11392 2698 l S NP 11383 2617 m 11387 2645 l S NP 11378 2568 m 11383 2617 l S NP 11374 2578 m 11378 2568 l S NP 11369 2494 m 11374 2578 l S NP 11365 2476 m 11369 2494 l S NP 11360 2376 m 11365 2476 l S NP 11356 2374 m 11360 2376 l S NP 11351 2334 m 11356 2374 l S NP 11347 2315 m 11351 2334 l S NP 11343 2244 m 11347 2315 l S NP 11338 2239 m 11343 2244 l S NP 11334 2244 m 11338 2239 l S NP 11329 2188 m 11334 2244 l S NP 11325 2212 m 11329 2188 l S NP 11320 2139 m 11325 2212 l S NP 11316 2100 m 11320 2139 l S NP 11311 2023 m 11316 2100 l S NP 11307 1937 m 11311 2023 l S NP 11302 1952 m 11307 1937 l S NP 11298 1869 m 11302 1952 l S NP 11293 1772 m 11298 1869 l S NP 11289 1741 m 11293 1772 l S NP 11284 1763 m 11289 1741 l S NP 11280 1678 m 11284 1763 l S NP 11275 1699 m 11280 1678 l S NP 11271 1642 m 11275 1699 l S NP 11266 1632 m 11271 1642 l S NP 11262 1608 m 11266 1632 l S NP 11257 1665 m 11262 1608 l S NP 11253 1637 m 11257 1665 l S NP 11248 1627 m 11253 1637 l S NP 11244 1644 m 11248 1627 l S NP 11239 1603 m 11244 1644 l S NP 11235 1613 m 11239 1603 l S NP 11230 1604 m 11235 1613 l S NP 11226 1622 m 11230 1604 l S NP 11221 1598 m 11226 1622 l S NP 11217 1496 m 11221 1598 l S NP 11212 1532 m 11217 1496 l S NP 11208 1532 m 11212 1532 l S NP 11203 1518 m 11208 1532 l S NP 11199 1485 m 11203 1518 l S NP 11194 1528 m 11199 1485 l S NP 11190 1493 m 11194 1528 l S NP 11185 1476 m 11190 1493 l S NP 11181 1417 m 11185 1476 l S NP 11176 1428 m 11181 1417 l S NP 11172 1475 m 11176 1428 l S NP 11168 1486 m 11172 1475 l S NP 11163 1510 m 11168 1486 l S NP 11159 1539 m 11163 1510 l S NP 11154 1578 m 11159 1539 l S NP 11150 1611 m 11154 1578 l S NP 11145 1594 m 11150 1611 l S NP 11141 1613 m 11145 1594 l S NP 11136 1615 m 11141 1613 l S NP 11132 1577 m 11136 1615 l S NP 11127 1639 m 11132 1577 l S NP 11123 1614 m 11127 1639 l S NP 11118 1653 m 11123 1614 l S NP 11114 1701 m 11118 1653 l S NP 11109 1685 m 11114 1701 l S NP 11105 1729 m 11109 1685 l S NP 11100 1728 m 11105 1729 l S NP 11096 1777 m 11100 1728 l S NP 11091 1810 m 11096 1777 l S NP 11087 1831 m 11091 1810 l S NP 11082 1868 m 11087 1831 l S NP 11078 1887 m 11082 1868 l S NP 11073 1892 m 11078 1887 l S NP 11069 1844 m 11073 1892 l S NP 11064 1883 m 11069 1844 l S NP 11060 1893 m 11064 1883 l S NP 11055 1951 m 11060 1893 l S NP 11051 2002 m 11055 1951 l S NP 11046 2052 m 11051 2002 l S NP 11042 2017 m 11046 2052 l S NP 11037 2112 m 11042 2017 l S NP 11033 2138 m 11037 2112 l S NP 11028 2248 m 11033 2138 l S NP 11024 2259 m 11028 2248 l S NP 11019 2300 m 11024 2259 l S NP 11015 2372 m 11019 2300 l S NP 11010 2465 m 11015 2372 l S NP 11006 2462 m 11010 2465 l S NP 11002 2495 m 11006 2462 l S NP 10997 2516 m 11002 2495 l S NP 10993 2539 m 10997 2516 l S NP 10988 2578 m 10993 2539 l S NP 10984 2608 m 10988 2578 l S NP 10979 2653 m 10984 2608 l S NP 10975 2690 m 10979 2653 l S NP 10970 2710 m 10975 2690 l S NP 10966 2706 m 10970 2710 l S NP 10961 2712 m 10966 2706 l S NP 10957 2754 m 10961 2712 l S NP 10952 2776 m 10957 2754 l S NP 10948 2813 m 10952 2776 l S NP 10943 2807 m 10948 2813 l S NP 10939 2846 m 10943 2807 l S NP 10934 2910 m 10939 2846 l S NP 10930 2901 m 10934 2910 l S NP 10925 2866 m 10930 2901 l S NP 10921 2979 m 10925 2866 l S NP 10916 2997 m 10921 2979 l S NP 10912 3039 m 10916 2997 l S NP 10907 3106 m 10912 3039 l S NP 10903 3129 m 10907 3106 l S NP 10898 3115 m 10903 3129 l S NP 10894 3130 m 10898 3115 l S NP 10889 3125 m 10894 3130 l S NP 10885 3133 m 10889 3125 l S NP 10880 3136 m 10885 3133 l S NP 10876 3214 m 10880 3136 l S NP 10871 3217 m 10876 3214 l S NP 10867 3268 m 10871 3217 l S NP 10862 3291 m 10867 3268 l S NP 10858 3240 m 10862 3291 l S NP 10853 3319 m 10858 3240 l S NP 10849 3338 m 10853 3319 l S NP 10844 3282 m 10849 3338 l S NP 10840 3278 m 10844 3282 l S NP 10835 3339 m 10840 3278 l S NP 10831 3327 m 10835 3339 l S NP 10827 3312 m 10831 3327 l S NP 10822 3321 m 10827 3312 l S NP 10818 3359 m 10822 3321 l S NP 10813 3424 m 10818 3359 l S NP 10809 3411 m 10813 3424 l S NP 10804 3391 m 10809 3411 l S NP 10800 3394 m 10804 3391 l S NP 10795 3373 m 10800 3394 l S NP 10791 3379 m 10795 3373 l S NP 10786 3348 m 10791 3379 l S NP 10782 3316 m 10786 3348 l S NP 10777 3239 m 10782 3316 l S NP 10773 3271 m 10777 3239 l S NP 10768 3259 m 10773 3271 l S NP 10764 3226 m 10768 3259 l S NP 10759 3213 m 10764 3226 l S NP 10755 3248 m 10759 3213 l S NP 10750 3266 m 10755 3248 l S NP 10746 3195 m 10750 3266 l S NP 10741 3199 m 10746 3195 l S NP 10737 3185 m 10741 3199 l S NP 10732 3116 m 10737 3185 l S NP 10728 3116 m 10732 3116 l S NP 10723 3100 m 10728 3116 l S NP 10719 3040 m 10723 3100 l S NP 10714 3081 m 10719 3040 l S NP 10710 3084 m 10714 3081 l S NP 10705 3049 m 10710 3084 l S NP 10701 2983 m 10705 3049 l S NP 10696 2988 m 10701 2983 l S NP 10692 2922 m 10696 2988 l S NP 10687 2843 m 10692 2922 l S NP 10683 2783 m 10687 2843 l S NP 10678 2734 m 10683 2783 l S NP 10674 2801 m 10678 2734 l S NP 10669 2767 m 10674 2801 l S NP 10665 2706 m 10669 2767 l S NP 10660 2687 m 10665 2706 l S NP 10656 2651 m 10660 2687 l S NP 10652 2663 m 10656 2651 l S NP 10647 2625 m 10652 2663 l S NP 10643 2670 m 10647 2625 l S NP 10638 2651 m 10643 2670 l S NP 10634 2680 m 10638 2651 l S NP 10629 2649 m 10634 2680 l S NP 10625 2564 m 10629 2649 l S NP 10620 2499 m 10625 2564 l S NP 10616 2444 m 10620 2499 l S NP 10611 2410 m 10616 2444 l S NP 10607 2304 m 10611 2410 l S NP 10602 2291 m 10607 2304 l S NP 10598 2279 m 10602 2291 l S NP 10593 2281 m 10598 2279 l S NP 10589 2219 m 10593 2281 l S NP 10584 2232 m 10589 2219 l S NP 10580 2151 m 10584 2232 l S NP 10575 2111 m 10580 2151 l S NP 10571 2053 m 10575 2111 l S NP 10566 1953 m 10571 2053 l S NP 10562 1941 m 10566 1953 l S NP 10557 1912 m 10562 1941 l S NP 10553 1839 m 10557 1912 l S NP 10548 1851 m 10553 1839 l S NP 10544 1767 m 10548 1851 l S NP 10539 1720 m 10544 1767 l S NP 10535 1647 m 10539 1720 l S NP 10530 1693 m 10535 1647 l S NP 10526 1694 m 10530 1693 l S NP 10521 1631 m 10526 1694 l S NP 10517 1628 m 10521 1631 l S NP 10512 1649 m 10517 1628 l S NP 10508 1724 m 10512 1649 l S NP 10503 1701 m 10508 1724 l S NP 10499 1658 m 10503 1701 l S NP 10494 1580 m 10499 1658 l S NP 10490 1505 m 10494 1580 l S NP 10486 1482 m 10490 1505 l S NP 10481 1473 m 10486 1482 l S NP 10477 1464 m 10481 1473 l S NP 10472 1480 m 10477 1464 l S NP 10468 1431 m 10472 1480 l S NP 10463 1433 m 10468 1431 l S NP 10459 1488 m 10463 1433 l S NP 10454 1425 m 10459 1488 l S NP 10450 1408 m 10454 1425 l S NP 10445 1417 m 10450 1408 l S NP 10441 1414 m 10445 1417 l S NP 10436 1414 m 10441 1414 l S NP 10432 1437 m 10436 1414 l S NP 10427 1495 m 10432 1437 l S NP 10423 1497 m 10427 1495 l S NP 10418 1510 m 10423 1497 l S NP 10414 1505 m 10418 1510 l S NP 10409 1525 m 10414 1505 l S NP 10405 1517 m 10409 1525 l S NP 10400 1524 m 10405 1517 l S NP 10396 1602 m 10400 1524 l S NP 10391 1656 m 10396 1602 l S NP 10387 1664 m 10391 1656 l S NP 10382 1653 m 10387 1664 l S NP 10378 1734 m 10382 1653 l S NP 10373 1728 m 10378 1734 l S NP 10369 1714 m 10373 1728 l S NP 10364 1643 m 10369 1714 l S NP 10360 1700 m 10364 1643 l S NP 10355 1743 m 10360 1700 l S NP 10351 1786 m 10355 1743 l S NP 10346 1763 m 10351 1786 l S NP 10342 1810 m 10346 1763 l S NP 10337 1883 m 10342 1810 l S NP 10333 1877 m 10337 1883 l S NP 10328 1876 m 10333 1877 l S NP 10324 1855 m 10328 1876 l S NP 10319 1921 m 10324 1855 l S NP 10315 1978 m 10319 1921 l S NP 10311 1964 m 10315 1978 l S NP 10306 1953 m 10311 1964 l S NP 10302 2008 m 10306 1953 l S NP 10297 2039 m 10302 2008 l S NP 10293 2008 m 10297 2039 l S NP 10288 2058 m 10293 2008 l S NP 10284 2196 m 10288 2058 l S NP 10279 2234 m 10284 2196 l S NP 10275 2285 m 10279 2234 l S NP 10270 2314 m 10275 2285 l S NP 10266 2347 m 10270 2314 l S NP 10261 2409 m 10266 2347 l S NP 10257 2509 m 10261 2409 l S NP 10252 2491 m 10257 2509 l S NP 10248 2554 m 10252 2491 l S NP 10243 2570 m 10248 2554 l S NP 10239 2677 m 10243 2570 l S NP 10234 2750 m 10239 2677 l S NP 10230 2854 m 10234 2750 l S NP 10225 2885 m 10230 2854 l S NP 10221 2930 m 10225 2885 l S NP 10216 2964 m 10221 2930 l S NP 10212 2915 m 10216 2964 l S NP 10207 2913 m 10212 2915 l S NP 10203 2959 m 10207 2913 l S NP 10198 2952 m 10203 2959 l S NP 10194 2907 m 10198 2952 l S NP 10189 2880 m 10194 2907 l S NP 10185 2901 m 10189 2880 l S NP 10180 2960 m 10185 2901 l S NP 10176 2981 m 10180 2960 l S NP 10171 3058 m 10176 2981 l S NP 10167 3132 m 10171 3058 l S NP 10162 3091 m 10167 3132 l S NP 10158 3146 m 10162 3091 l S NP 10153 3110 m 10158 3146 l S NP 10149 3085 m 10153 3110 l S NP 10144 3104 m 10149 3085 l S NP 10140 3141 m 10144 3104 l S NP 10136 3222 m 10140 3141 l S NP 10131 3237 m 10136 3222 l S NP 10127 3351 m 10131 3237 l S NP 10122 3351 m 10127 3351 l S NP 10118 3357 m 10122 3351 l S NP 10113 3360 m 10118 3357 l S NP 10109 3358 m 10113 3360 l S NP 10104 3329 m 10109 3358 l S NP 10100 3399 m 10104 3329 l S NP 10095 3424 m 10100 3399 l S NP 10091 3394 m 10095 3424 l S NP 10086 3348 m 10091 3394 l S NP 10082 3346 m 10086 3348 l S NP 10077 3358 m 10082 3346 l S NP 10073 3414 m 10077 3358 l S NP 10068 3434 m 10073 3414 l S NP 10064 3394 m 10068 3434 l S NP 10059 3436 m 10064 3394 l S NP 10055 3449 m 10059 3436 l S NP 10050 3478 m 10055 3449 l S NP 10046 3474 m 10050 3478 l S NP 10041 3408 m 10046 3474 l S NP 10037 3401 m 10041 3408 l S NP 10032 3347 m 10037 3401 l S NP 10028 3311 m 10032 3347 l S NP 10023 3294 m 10028 3311 l S NP 10019 3270 m 10023 3294 l S NP 10014 3255 m 10019 3270 l S NP 10010 3236 m 10014 3255 l S NP 10005 3183 m 10010 3236 l S NP 10001 3180 m 10005 3183 l S NP 9996 3137 m 10001 3180 l S NP 9992 3140 m 9996 3137 l S NP 9987 3113 m 9992 3140 l S NP 9983 3108 m 9987 3113 l S NP 9978 3072 m 9983 3108 l S NP 9974 3047 m 9978 3072 l S NP 9970 3013 m 9974 3047 l S NP 9965 3047 m 9970 3013 l S NP 9961 3078 m 9965 3047 l S NP 9956 3089 m 9961 3078 l S NP 9952 3019 m 9956 3089 l S NP 9947 2916 m 9952 3019 l S NP 9943 2906 m 9947 2916 l S NP 9938 2832 m 9943 2906 l S NP 9934 2760 m 9938 2832 l S NP 9929 2635 m 9934 2760 l S NP 9925 2655 m 9929 2635 l S NP 9920 2664 m 9925 2655 l S NP 9916 2707 m 9920 2664 l S NP 9911 2710 m 9916 2707 l S NP 9907 2685 m 9911 2710 l S NP 9902 2619 m 9907 2685 l S NP 9898 2671 m 9902 2619 l S NP 9893 2669 m 9898 2671 l S NP 9889 2601 m 9893 2669 l S NP 9884 2485 m 9889 2601 l S NP 9880 2454 m 9884 2485 l S NP 9875 2405 m 9880 2454 l S NP 9871 2400 m 9875 2405 l S NP 9866 2389 m 9871 2400 l S NP 9862 2366 m 9866 2389 l S NP 9857 2406 m 9862 2366 l S NP 9853 2378 m 9857 2406 l S NP 9848 2387 m 9853 2378 l S NP 9844 2373 m 9848 2387 l S NP 9839 2353 m 9844 2373 l S NP 9835 2308 m 9839 2353 l S NP 9830 2271 m 9835 2308 l S NP 9826 2181 m 9830 2271 l S NP 9821 2079 m 9826 2181 l S NP 9817 1971 m 9821 2079 l S NP 9812 1783 m 9817 1971 l S NP 9808 1744 m 9812 1783 l S NP 9803 1767 m 9808 1744 l S NP 9799 1735 m 9803 1767 l S NP 9795 1747 m 9799 1735 l S NP 9790 1687 m 9795 1747 l S NP 9786 1661 m 9790 1687 l S NP 9781 1553 m 9786 1661 l S NP 9777 1607 m 9781 1553 l S NP 9772 1622 m 9777 1607 l S NP 9768 1691 m 9772 1622 l S NP 9763 1603 m 9768 1691 l S NP 9759 1501 m 9763 1603 l S NP 9754 1496 m 9759 1501 l S NP 9750 1467 m 9754 1496 l S NP 9745 1503 m 9750 1467 l S NP 9741 1519 m 9745 1503 l S NP 9736 1473 m 9741 1519 l S NP 9732 1534 m 9736 1473 l S NP 9727 1486 m 9732 1534 l S NP 9723 1418 m 9727 1486 l S NP 9718 1314 m 9723 1418 l S NP 9714 1305 m 9718 1314 l S NP 9709 1376 m 9714 1305 l S NP 9705 1328 m 9709 1376 l S NP 9700 1351 m 9705 1328 l S NP 9696 1368 m 9700 1351 l S NP 9691 1362 m 9696 1368 l S NP 9687 1381 m 9691 1362 l S NP 9682 1429 m 9687 1381 l S NP 9678 1493 m 9682 1429 l S NP 9673 1436 m 9678 1493 l S NP 9669 1428 m 9673 1436 l S NP 9664 1426 m 9669 1428 l S NP 9660 1457 m 9664 1426 l S NP 9655 1446 m 9660 1457 l S NP 9651 1449 m 9655 1446 l S NP 9646 1575 m 9651 1449 l S NP 9642 1539 m 9646 1575 l S NP 9637 1487 m 9642 1539 l S NP 9633 1431 m 9637 1487 l S NP 9628 1460 m 9633 1431 l S NP 9624 1490 m 9628 1460 l S NP 9620 1542 m 9624 1490 l S NP 9615 1616 m 9620 1542 l S NP 9611 1721 m 9615 1616 l S NP 9606 1788 m 9611 1721 l S NP 9602 1758 m 9606 1788 l S NP 9597 1797 m 9602 1758 l S NP 9593 1773 m 9597 1797 l S NP 9588 1864 m 9593 1773 l S NP 9584 1924 m 9588 1864 l S NP 9579 1959 m 9584 1924 l S NP 9575 1916 m 9579 1959 l S NP 9570 1904 m 9575 1916 l S NP 9566 1930 m 9570 1904 l S NP 9561 1882 m 9566 1930 l S NP 9557 1850 m 9561 1882 l S NP 9552 1936 m 9557 1850 l S NP 9548 1942 m 9552 1936 l S NP 9543 1980 m 9548 1942 l S NP 9539 1981 m 9543 1980 l S NP 9534 2054 m 9539 1981 l S NP 9530 2221 m 9534 2054 l S NP 9525 2315 m 9530 2221 l S NP 9521 2418 m 9525 2315 l S NP 9516 2473 m 9521 2418 l S NP 9512 2640 m 9516 2473 l S NP 9507 2720 m 9512 2640 l S NP 9503 2718 m 9507 2720 l S NP 9498 2660 m 9503 2718 l S NP 9494 2700 m 9498 2660 l S NP 9489 2799 m 9494 2700 l S NP 9485 2721 m 9489 2799 l S NP 9480 2700 m 9485 2721 l S NP 9476 2771 m 9480 2700 l S NP 9471 2783 m 9476 2771 l S NP 9467 2901 m 9471 2783 l S NP 9462 3036 m 9467 2901 l S NP 9458 2996 m 9462 3036 l S NP 9454 3011 m 9458 2996 l S NP 9449 3014 m 9454 3011 l S NP 9445 3037 m 9449 3014 l S NP 9440 3148 m 9445 3037 l S NP 9436 3170 m 9440 3148 l S NP 9431 3214 m 9436 3170 l S NP 9427 3244 m 9431 3214 l S NP 9422 3300 m 9427 3244 l S NP 9418 3235 m 9422 3300 l S NP 9413 3161 m 9418 3235 l S NP 9409 3244 m 9413 3161 l S NP 9404 3232 m 9409 3244 l S NP 9400 3197 m 9404 3232 l S NP 9395 3240 m 9400 3197 l S NP 9391 3272 m 9395 3240 l S NP 9386 3247 m 9391 3272 l S NP 9382 3331 m 9386 3247 l S NP 9377 3314 m 9382 3331 l S NP 9373 3319 m 9377 3314 l S NP 9368 3281 m 9373 3319 l S NP 9364 3302 m 9368 3281 l S NP 9359 3334 m 9364 3302 l S NP 9355 3362 m 9359 3334 l S NP 9350 3343 m 9355 3362 l S NP 9346 3340 m 9350 3343 l S NP 9341 3412 m 9346 3340 l S NP 9337 3362 m 9341 3412 l S NP 9332 3323 m 9337 3362 l S NP 9328 3314 m 9332 3323 l S NP 9323 3356 m 9328 3314 l S NP 9319 3431 m 9323 3356 l S NP 9314 3422 m 9319 3431 l S NP 9310 3441 m 9314 3422 l S NP 9305 3359 m 9310 3441 l S NP 9301 3330 m 9305 3359 l S NP 9296 3370 m 9301 3330 l S NP 9292 3416 m 9296 3370 l S NP 9287 3449 m 9292 3416 l S NP 9283 3392 m 9287 3449 l S NP 9279 3323 m 9283 3392 l S NP 9274 3294 m 9279 3323 l S NP 9270 3380 m 9274 3294 l S NP 9265 3395 m 9270 3380 l S NP 9261 3394 m 9265 3395 l S NP 9256 3316 m 9261 3394 l S NP 9252 3260 m 9256 3316 l S NP 9247 3292 m 9252 3260 l S NP 9243 3250 m 9247 3292 l S NP 9238 3195 m 9243 3250 l S NP 9234 3126 m 9238 3195 l S NP 9229 3075 m 9234 3126 l S NP 9225 3041 m 9229 3075 l S NP 9220 2963 m 9225 3041 l S NP 9216 2936 m 9220 2963 l S NP 9211 2929 m 9216 2936 l S NP 9207 2925 m 9211 2929 l S NP 9202 2885 m 9207 2925 l S NP 9198 2857 m 9202 2885 l S NP 9193 2798 m 9198 2857 l S NP 9189 2755 m 9193 2798 l S NP 9184 2667 m 9189 2755 l S NP 9180 2627 m 9184 2667 l S NP 9175 2600 m 9180 2627 l S NP 9171 2693 m 9175 2600 l S NP 9166 2731 m 9171 2693 l S NP 9162 2778 m 9166 2731 l S NP 9157 2815 m 9162 2778 l S NP 9153 2818 m 9157 2815 l S NP 9148 2721 m 9153 2818 l S NP 9144 2526 m 9148 2721 l S NP 9139 2455 m 9144 2526 l S NP 9135 2478 m 9139 2455 l S NP 9130 2501 m 9135 2478 l S NP 9126 2545 m 9130 2501 l S NP 9121 2575 m 9126 2545 l S NP 9117 2563 m 9121 2575 l S NP 9112 2473 m 9117 2563 l S NP 9108 2388 m 9112 2473 l S NP 9104 2332 m 9108 2388 l S NP 9099 2287 m 9104 2332 l S NP 9095 2214 m 9099 2287 l S NP 9090 2179 m 9095 2214 l S NP 9086 2102 m 9090 2179 l S NP 9081 2047 m 9086 2102 l S NP 9077 1999 m 9081 2047 l S NP 9072 1923 m 9077 1999 l S NP 9068 1880 m 9072 1923 l S NP 9063 1878 m 9068 1880 l S NP 9059 1881 m 9063 1878 l S NP 9054 1822 m 9059 1881 l S NP 9050 1751 m 9054 1822 l S NP 9045 1729 m 9050 1751 l S NP 9041 1652 m 9045 1729 l S NP 9036 1611 m 9041 1652 l S NP 9032 1558 m 9036 1611 l S NP 9027 1573 m 9032 1558 l S NP 9023 1505 m 9027 1573 l S NP 9018 1593 m 9023 1505 l S NP 9014 1586 m 9018 1593 l S NP 9009 1549 m 9014 1586 l S NP 9005 1527 m 9009 1549 l S NP 9000 1445 m 9005 1527 l S NP 8996 1454 m 9000 1445 l S NP 8991 1457 m 8996 1454 l S NP 8987 1406 m 8991 1457 l S NP 8982 1294 m 8987 1406 l S NP 8978 1227 m 8982 1294 l S NP 8973 1152 m 8978 1227 l S NP 8969 1171 m 8973 1152 l S NP 8964 1213 m 8969 1171 l S NP 8960 1219 m 8964 1213 l S NP 8955 1166 m 8960 1219 l S NP 8951 1241 m 8955 1166 l S NP 8946 1287 m 8951 1241 l S NP 8942 1240 m 8946 1287 l S NP 8938 1250 m 8942 1240 l S NP 8933 1278 m 8938 1250 l S NP 8929 1291 m 8933 1278 l S NP 8924 1290 m 8929 1291 l S NP 8920 1382 m 8924 1290 l S NP 8915 1357 m 8920 1382 l S NP 8911 1354 m 8915 1357 l S NP 8906 1341 m 8911 1354 l S NP 8902 1370 m 8906 1341 l S NP 8897 1389 m 8902 1370 l S NP 8893 1442 m 8897 1389 l S NP 8888 1380 m 8893 1442 l S NP 8884 1340 m 8888 1380 l S NP 8879 1428 m 8884 1340 l S NP 8875 1415 m 8879 1428 l S NP 8870 1519 m 8875 1415 l S NP 8866 1508 m 8870 1519 l S NP 8861 1539 m 8866 1508 l S NP 8857 1635 m 8861 1539 l S NP 8852 1612 m 8857 1635 l S NP 8848 1690 m 8852 1612 l S NP 8843 1746 m 8848 1690 l S NP 8839 1810 m 8843 1746 l S NP 8834 1803 m 8839 1810 l S NP 8830 1824 m 8834 1803 l S NP 8825 1813 m 8830 1824 l S NP 8821 1837 m 8825 1813 l S NP 8816 1885 m 8821 1837 l S NP 8812 1815 m 8816 1885 l S NP 8807 1964 m 8812 1815 l S NP 8803 2078 m 8807 1964 l S NP 8798 2120 m 8803 2078 l S NP 8794 2162 m 8798 2120 l S NP 8789 2241 m 8794 2162 l S NP 8785 2392 m 8789 2241 l S NP 8780 2419 m 8785 2392 l S NP 8776 2517 m 8780 2419 l S NP 8771 2657 m 8776 2517 l S NP 8767 2639 m 8771 2657 l S NP 8763 2610 m 8767 2639 l S NP 8758 2650 m 8763 2610 l S NP 8754 2625 m 8758 2650 l S NP 8749 2604 m 8754 2625 l S NP 8745 2705 m 8749 2604 l S NP 8740 2766 m 8745 2705 l S NP 8736 2753 m 8740 2766 l S NP 8731 2800 m 8736 2753 l S NP 8727 2874 m 8731 2800 l S NP 8722 2822 m 8727 2874 l S NP 8718 2942 m 8722 2822 l S NP 8713 3121 m 8718 2942 l S NP 8709 3150 m 8713 3121 l S NP 8704 3166 m 8709 3150 l S NP 8700 3099 m 8704 3166 l S NP 8695 2979 m 8700 3099 l S NP 8691 3019 m 8695 2979 l S NP 8686 3061 m 8691 3019 l S NP 8682 3130 m 8686 3061 l S NP 8677 3149 m 8682 3130 l S NP 8673 3197 m 8677 3149 l S NP 8668 3241 m 8673 3197 l S NP 8664 3263 m 8668 3241 l S NP 8659 3423 m 8664 3263 l S NP 8655 3516 m 8659 3423 l S NP 8650 3543 m 8655 3516 l S NP 8646 3510 m 8650 3543 l S NP 8641 3496 m 8646 3510 l S NP 8637 3478 m 8641 3496 l S NP 8632 3502 m 8637 3478 l S NP 8628 3522 m 8632 3502 l S NP 8623 3537 m 8628 3522 l S NP 8619 3551 m 8623 3537 l S NP 8614 3586 m 8619 3551 l S NP 8610 3582 m 8614 3586 l S NP 8605 3545 m 8610 3582 l S NP 8601 3517 m 8605 3545 l S NP 8596 3568 m 8601 3517 l S NP 8592 3505 m 8596 3568 l S NP 8588 3513 m 8592 3505 l S NP 8583 3495 m 8588 3513 l S NP 8579 3458 m 8583 3495 l S NP 8574 3486 m 8579 3458 l S NP 8570 3426 m 8574 3486 l S NP 8565 3441 m 8570 3426 l S NP 8561 3422 m 8565 3441 l S NP 8556 3423 m 8561 3422 l S NP 8552 3464 m 8556 3423 l S NP 8547 3427 m 8552 3464 l S NP 8543 3458 m 8547 3427 l S NP 8538 3509 m 8543 3458 l S NP 8534 3533 m 8538 3509 l S NP 8529 3567 m 8534 3533 l S NP 8525 3563 m 8529 3567 l S NP 8520 3508 m 8525 3563 l S NP 8516 3487 m 8520 3508 l S NP 8511 3343 m 8516 3487 l S NP 8507 3256 m 8511 3343 l S NP 8502 3248 m 8507 3256 l S NP 8498 3263 m 8502 3248 l S NP 8493 3334 m 8498 3263 l S NP 8489 3244 m 8493 3334 l S NP 8484 3237 m 8489 3244 l S NP 8480 3223 m 8484 3237 l S NP 8475 3196 m 8480 3223 l S NP 8471 3090 m 8475 3196 l S NP 8466 3057 m 8471 3090 l S NP 8462 3001 m 8466 3057 l S NP 8457 2907 m 8462 3001 l S NP 8453 2836 m 8457 2907 l S NP 8448 2742 m 8453 2836 l S NP 8444 2718 m 8448 2742 l S NP 8439 2711 m 8444 2718 l S NP 8435 2542 m 8439 2711 l S NP 8430 2616 m 8435 2542 l S NP 8426 2642 m 8430 2616 l S NP 8422 2729 m 8426 2642 l S NP 8417 2716 m 8422 2729 l S NP 8413 2688 m 8417 2716 l S NP 8408 2732 m 8413 2688 l S NP 8404 2813 m 8408 2732 l S NP 8399 2792 m 8404 2813 l S NP 8395 2704 m 8399 2792 l S NP 8390 2627 m 8395 2704 l S NP 8386 2541 m 8390 2627 l S NP 8381 2583 m 8386 2541 l S NP 8377 2761 m 8381 2583 l S NP 8372 2601 m 8377 2761 l S NP 8368 2326 m 8372 2601 l S NP 8363 2217 m 8368 2326 l S NP 8359 2178 m 8363 2217 l S NP 8354 2039 m 8359 2178 l S NP 8350 1899 m 8354 2039 l S NP 8345 1945 m 8350 1899 l S NP 8341 1995 m 8345 1945 l S NP 8336 1841 m 8341 1995 l S NP 8332 1692 m 8336 1841 l S NP 8327 1625 m 8332 1692 l S NP 8323 1721 m 8327 1625 l S NP 8318 1693 m 8323 1721 l S NP 8314 1671 m 8318 1693 l S NP 8309 1561 m 8314 1671 l S NP 8305 1483 m 8309 1561 l S NP 8300 1410 m 8305 1483 l S NP 8296 1376 m 8300 1410 l S NP 8291 1413 m 8296 1376 l S NP 8287 1376 m 8291 1413 l S NP 8282 1310 m 8287 1376 l S NP 8278 1384 m 8282 1310 l S NP 8273 1397 m 8278 1384 l S NP 8269 1303 m 8273 1397 l S NP 8264 1261 m 8269 1303 l S NP 8260 1234 m 8264 1261 l S NP 8255 1269 m 8260 1234 l S NP 8251 1243 m 8255 1269 l S NP 8247 1190 m 8251 1243 l S NP 8242 1233 m 8247 1190 l S NP 8238 1264 m 8242 1233 l S NP 8233 1209 m 8238 1264 l S NP 8229 1216 m 8233 1209 l S NP 8224 1114 m 8229 1216 l S NP 8220 1073 m 8224 1114 l S NP 8215 1155 m 8220 1073 l S NP 8211 1253 m 8215 1155 l S NP 8206 1379 m 8211 1253 l S NP 8202 1381 m 8206 1379 l S NP 8197 1325 m 8202 1381 l S NP 8193 1318 m 8197 1325 l S NP 8188 1392 m 8193 1318 l S NP 8184 1436 m 8188 1392 l S NP 8179 1432 m 8184 1436 l S NP 8175 1371 m 8179 1432 l S NP 8170 1260 m 8175 1371 l S NP 8166 1295 m 8170 1260 l S NP 8161 1416 m 8166 1295 l S NP 8157 1503 m 8161 1416 l S NP 8152 1401 m 8157 1503 l S NP 8148 1437 m 8152 1401 l S NP 8143 1416 m 8148 1437 l S NP 8139 1526 m 8143 1416 l S NP 8134 1616 m 8139 1526 l S NP 8130 1639 m 8134 1616 l S NP 8125 1576 m 8130 1639 l S NP 8121 1518 m 8125 1576 l S NP 8116 1588 m 8121 1518 l S NP 8112 1612 m 8116 1588 l S NP 8107 1623 m 8112 1612 l S NP 8103 1576 m 8107 1623 l S NP 8098 1623 m 8103 1576 l S NP 8094 1610 m 8098 1623 l S NP 8089 1749 m 8094 1610 l S NP 8085 1776 m 8089 1749 l S NP 8080 1764 m 8085 1776 l S NP 8076 1792 m 8080 1764 l S NP 8072 1822 m 8076 1792 l S NP 8067 1892 m 8072 1822 l S NP 8063 2014 m 8067 1892 l S NP 8058 2078 m 8063 2014 l S NP 8054 2153 m 8058 2078 l S NP 8049 2197 m 8054 2153 l S NP 8045 2157 m 8049 2197 l S NP 8040 2201 m 8045 2157 l S NP 8036 2277 m 8040 2201 l S NP 8031 2375 m 8036 2277 l S NP 8027 2501 m 8031 2375 l S NP 8022 2525 m 8027 2501 l S NP 8018 2562 m 8022 2525 l S NP 8013 2502 m 8018 2562 l S NP 8009 2558 m 8013 2502 l S NP 8004 2548 m 8009 2558 l S NP 8000 2591 m 8004 2548 l S NP 7995 2664 m 8000 2591 l S NP 7991 2682 m 7995 2664 l S NP 7986 2789 m 7991 2682 l S NP 7982 2895 m 7986 2789 l S NP 7977 2903 m 7982 2895 l S NP 7973 2899 m 7977 2903 l S NP 7968 2808 m 7973 2899 l S NP 7964 2793 m 7968 2808 l S NP 7959 2912 m 7964 2793 l S NP 7955 3005 m 7959 2912 l S NP 7950 3096 m 7955 3005 l S NP 7946 3111 m 7950 3096 l S NP 7941 3058 m 7946 3111 l S NP 7937 3052 m 7941 3058 l S NP 7932 3176 m 7937 3052 l S NP 7928 3201 m 7932 3176 l S NP 7923 3215 m 7928 3201 l S NP 7919 3266 m 7923 3215 l S NP 7914 3304 m 7919 3266 l S NP 7910 3303 m 7914 3304 l S NP 7906 3229 m 7910 3303 l S NP 7901 3386 m 7906 3229 l S NP 7897 3495 m 7901 3386 l S NP 7892 3513 m 7897 3495 l S NP 7888 3528 m 7892 3513 l S NP 7883 3568 m 7888 3528 l S NP 7879 3596 m 7883 3568 l S NP 7874 3673 m 7879 3596 l S NP 7870 3714 m 7874 3673 l S NP 7865 3745 m 7870 3714 l S NP 7861 3707 m 7865 3745 l S NP 7856 3663 m 7861 3707 l S NP 7852 3660 m 7856 3663 l S NP 7847 3726 m 7852 3660 l S NP 7843 3640 m 7847 3726 l S NP 7838 3595 m 7843 3640 l S NP 7834 3594 m 7838 3595 l S NP 7829 3647 m 7834 3594 l S NP 7825 3634 m 7829 3647 l S NP 7820 3663 m 7825 3634 l S NP 7816 3640 m 7820 3663 l S NP 7811 3567 m 7816 3640 l S NP 7807 3565 m 7811 3567 l S NP 7802 3591 m 7807 3565 l S NP 7798 3697 m 7802 3591 l S NP 7793 3647 m 7798 3697 l S NP 7789 3632 m 7793 3647 l S NP 7784 3628 m 7789 3632 l S NP 7780 3536 m 7784 3628 l S NP 7775 3520 m 7780 3536 l S NP 7771 3513 m 7775 3520 l S NP 7766 3358 m 7771 3513 l S NP 7762 3311 m 7766 3358 l S NP 7757 3416 m 7762 3311 l S NP 7753 3355 m 7757 3416 l S NP 7748 3321 m 7753 3355 l S NP 7744 3342 m 7748 3321 l S NP 7739 3371 m 7744 3342 l S NP 7735 3346 m 7739 3371 l S NP 7731 3306 m 7735 3346 l S NP 7726 3211 m 7731 3306 l S NP 7722 3045 m 7726 3211 l S NP 7717 3086 m 7722 3045 l S NP 7713 3138 m 7717 3086 l S NP 7708 3038 m 7713 3138 l S NP 7704 2963 m 7708 3038 l S NP 7699 2856 m 7704 2963 l S NP 7695 2813 m 7699 2856 l S NP 7690 2769 m 7695 2813 l S NP 7686 2935 m 7690 2769 l S NP 7681 3007 m 7686 2935 l S NP 7677 2804 m 7681 3007 l S NP 7672 2748 m 7677 2804 l S NP 7668 2775 m 7672 2748 l S NP 7663 2932 m 7668 2775 l S NP 7659 2821 m 7663 2932 l S NP 7654 2811 m 7659 2821 l S NP 7650 2717 m 7654 2811 l S NP 7645 2571 m 7650 2717 l S NP 7641 2435 m 7645 2571 l S NP 7636 2501 m 7641 2435 l S NP 7632 2468 m 7636 2501 l S NP 7627 2336 m 7632 2468 l S NP 7623 2380 m 7627 2336 l S NP 7618 2444 m 7623 2380 l S NP 7614 2407 m 7618 2444 l S NP 7609 2290 m 7614 2407 l S NP 7605 2238 m 7609 2290 l S NP 7600 2298 m 7605 2238 l S NP 7596 2233 m 7600 2298 l S NP 7591 2190 m 7596 2233 l S NP 7587 2155 m 7591 2190 l S NP 7582 2069 m 7587 2155 l S NP 7578 1929 m 7582 2069 l S NP 7573 1691 m 7578 1929 l S NP 7569 1585 m 7573 1691 l S NP 7564 1497 m 7569 1585 l S NP 7560 1349 m 7564 1497 l S NP 7556 1309 m 7560 1349 l S NP 7551 1111 m 7556 1309 l S NP 7547 1126 m 7551 1111 l S NP 7542 1112 m 7547 1126 l S NP 7538 1032 m 7542 1112 l S NP 7533 1067 m 7538 1032 l S NP 7529 1280 m 7533 1067 l S NP 7524 1344 m 7529 1280 l S NP 7520 1453 m 7524 1344 l S NP 7515 1535 m 7520 1453 l S NP 7511 1626 m 7515 1535 l S NP 7506 1530 m 7511 1626 l S NP 7502 1476 m 7506 1530 l S NP 7497 1570 m 7502 1476 l S NP 7493 1649 m 7497 1570 l S NP 7488 1491 m 7493 1649 l S NP 7484 1458 m 7488 1491 l S NP 7479 1444 m 7484 1458 l S NP 7475 1467 m 7479 1444 l S NP 7470 1522 m 7475 1467 l S NP 7466 1488 m 7470 1522 l S NP 7461 1446 m 7466 1488 l S NP 7457 1432 m 7461 1446 l S NP 7452 1417 m 7457 1432 l S NP 7448 1418 m 7452 1417 l S NP 7443 1332 m 7448 1418 l S NP 7439 1250 m 7443 1332 l S NP 7434 1155 m 7439 1250 l S NP 7430 1193 m 7434 1155 l S NP 7425 1282 m 7430 1193 l S NP 7421 1286 m 7425 1282 l S NP 7416 1267 m 7421 1286 l S NP 7412 1171 m 7416 1267 l S NP 7407 1199 m 7412 1171 l S NP 7403 1082 m 7407 1199 l S NP 7398 1071 m 7403 1082 l S NP 7394 1114 m 7398 1071 l S NP 7390 1203 m 7394 1114 l S NP 7385 1263 m 7390 1203 l S NP 7381 1359 m 7385 1263 l S NP 7376 1381 m 7381 1359 l S NP 7372 1384 m 7376 1381 l S NP 7367 1170 m 7372 1384 l S NP 7363 1224 m 7367 1170 l S NP 7358 1427 m 7363 1224 l S NP 7354 1527 m 7358 1427 l S NP 7349 1625 m 7354 1527 l S NP 7345 1637 m 7349 1625 l S NP 7340 1677 m 7345 1637 l S NP 7336 1681 m 7340 1677 l S NP 7331 1750 m 7336 1681 l S NP 7327 1459 m 7331 1750 l S NP 7322 1376 m 7327 1459 l S NP 7318 1702 m 7322 1376 l S NP 7313 1917 m 7318 1702 l S NP 7309 2034 m 7313 1917 l S NP 7304 2298 m 7309 2034 l S NP 7300 2394 m 7304 2298 l S NP 7295 2538 m 7300 2394 l S NP 7291 2402 m 7295 2538 l S NP 7286 2330 m 7291 2402 l S NP 7282 2384 m 7286 2330 l S NP 7277 2540 m 7282 2384 l S NP 7273 2391 m 7277 2540 l S NP 7268 2212 m 7273 2391 l S NP 7264 2095 m 7268 2212 l S NP 7259 2360 m 7264 2095 l S NP 7255 2429 m 7259 2360 l S NP 7250 2474 m 7255 2429 l S NP 7246 2549 m 7250 2474 l S NP 7241 2699 m 7246 2549 l S NP 7237 2824 m 7241 2699 l S NP 7232 2942 m 7237 2824 l S NP 7228 2827 m 7232 2942 l S NP 7223 2893 m 7228 2827 l S NP 7219 3043 m 7223 2893 l S NP 7215 3162 m 7219 3043 l S NP 7210 3324 m 7215 3162 l S NP 7206 3247 m 7210 3324 l S NP 7201 3115 m 7206 3247 l S NP 7197 3217 m 7201 3115 l S NP 7192 3525 m 7197 3217 l S NP 7188 3598 m 7192 3525 l S NP 7183 3573 m 7188 3598 l S NP 7179 3646 m 7183 3573 l S NP 7174 3649 m 7179 3646 l S NP 7170 3601 m 7174 3649 l S NP 7165 3538 m 7170 3601 l S NP 7161 3561 m 7165 3538 l S NP 7156 3633 m 7161 3561 l S NP 7152 3601 m 7156 3633 l S NP 7147 3587 m 7152 3601 l S NP 7143 3756 m 7147 3587 l S NP 7138 3658 m 7143 3756 l S NP 7134 3521 m 7138 3658 l S NP 7129 3448 m 7134 3521 l S NP 7125 3552 m 7129 3448 l S NP 7120 3666 m 7125 3552 l S NP 7116 3794 m 7120 3666 l S NP 7111 3885 m 7116 3794 l S NP 7107 3772 m 7111 3885 l S NP 7102 3834 m 7107 3772 l S NP 7098 3726 m 7102 3834 l S NP 7093 3708 m 7098 3726 l S NP 7089 3757 m 7093 3708 l S NP 7084 3796 m 7089 3757 l S NP 7080 3858 m 7084 3796 l S NP 7075 3772 m 7080 3858 l S NP 7071 3703 m 7075 3772 l S NP 7066 3666 m 7071 3703 l S NP 7062 3528 m 7066 3666 l S NP 7057 3496 m 7062 3528 l S NP 7053 3522 m 7057 3496 l S NP 7048 3535 m 7053 3522 l S NP 7044 3472 m 7048 3535 l S NP 7040 3573 m 7044 3472 l S NP 7035 3636 m 7040 3573 l S NP 7031 3758 m 7035 3636 l S NP 7026 3747 m 7031 3758 l S NP 7022 3749 m 7026 3747 l S NP 7017 3591 m 7022 3749 l S NP 7013 3488 m 7017 3591 l S NP 7008 3403 m 7013 3488 l S NP 7004 3339 m 7008 3403 l S NP 6999 3378 m 7004 3339 l S NP 6995 3321 m 6999 3378 l S NP 6990 3269 m 6995 3321 l S NP 6986 3214 m 6990 3269 l S NP 6981 3120 m 6986 3214 l S NP 6977 3031 m 6981 3120 l S NP 6972 3006 m 6977 3031 l S NP 6968 3086 m 6972 3006 l S NP 6963 3266 m 6968 3086 l S NP 6959 3098 m 6963 3266 l S NP 6954 3022 m 6959 3098 l S NP 6950 3048 m 6954 3022 l S NP 6945 2992 m 6950 3048 l S NP 6941 2856 m 6945 2992 l S NP 6936 3037 m 6941 2856 l S NP 6932 2843 m 6936 3037 l S NP 6927 2814 m 6932 2843 l S NP 6923 2698 m 6927 2814 l S NP 6918 2690 m 6923 2698 l S NP 6914 2676 m 6918 2690 l S NP 6909 2636 m 6914 2676 l S NP 6905 2388 m 6909 2636 l S NP 6900 2443 m 6905 2388 l S NP 6896 2578 m 6900 2443 l S NP 6891 2481 m 6896 2578 l S NP 6887 2397 m 6891 2481 l S NP 6882 2286 m 6887 2397 l S NP 6878 2165 m 6882 2286 l S NP 6874 2175 m 6878 2165 l S NP 6869 2100 m 6874 2175 l S NP 6865 2099 m 6869 2100 l S NP 6860 2087 m 6865 2099 l S NP 6856 2134 m 6860 2087 l S NP 6851 2380 m 6856 2134 l S NP 6847 2326 m 6851 2380 l S NP 6842 2114 m 6847 2326 l S NP 6838 1896 m 6842 2114 l S NP 6833 1971 m 6838 1896 l S NP 6829 2092 m 6833 1971 l S NP 6824 2018 m 6829 2092 l S NP 6820 2064 m 6824 2018 l S NP 6815 2126 m 6820 2064 l S NP 6811 2132 m 6815 2126 l S NP 6806 2123 m 6811 2132 l S NP 6802 2036 m 6806 2123 l S NP 6797 1845 m 6802 2036 l S NP 6793 1643 m 6797 1845 l S NP 6788 1500 m 6793 1643 l S NP 6784 1526 m 6788 1500 l S NP 6779 1661 m 6784 1526 l S NP 6775 1670 m 6779 1661 l S NP 6770 1654 m 6775 1670 l S NP 6766 1539 m 6770 1654 l S NP 6761 1589 m 6766 1539 l S NP 6757 1518 m 6761 1589 l S NP 6752 1356 m 6757 1518 l S NP 6748 1129 m 6752 1356 l S NP 6743 966 m 6748 1129 l S NP 6739 899 m 6743 966 l S NP 6734 949 m 6739 899 l S NP 6730 1047 m 6734 949 l S NP 6725 1080 m 6730 1047 l S NP 6721 1033 m 6725 1080 l S NP 6716 1003 m 6721 1033 l S NP 6712 887 m 6716 1003 l S NP 6707 881 m 6712 887 l S NP 6703 1014 m 6707 881 l S NP 6699 1100 m 6703 1014 l S NP 6694 969 m 6699 1100 l S NP 6690 838 m 6694 969 l S NP 6685 897 m 6690 838 l S NP 6681 963 m 6685 897 l S NP 6676 967 m 6681 963 l S NP 6672 942 m 6676 967 l S NP 6667 1001 m 6672 942 l S NP 6663 1035 m 6667 1001 l S NP 6658 1105 m 6663 1035 l S NP 6654 1250 m 6658 1105 l S NP 6649 1282 m 6654 1250 l S NP 6645 1156 m 6649 1282 l S NP 6640 849 m 6645 1156 l S NP 6636 586 m 6640 849 l S NP 6631 979 m 6636 586 l S NP 6627 1293 m 6631 979 l S NP 6622 1220 m 6627 1293 l S NP 6618 1010 m 6622 1220 l S NP 6613 923 m 6618 1010 l S NP 6609 864 m 6613 923 l S NP 6604 789 m 6609 864 l S NP 6600 739 m 6604 789 l S NP 6595 784 m 6600 739 l S NP 6591 1033 m 6595 784 l S NP 6586 1346 m 6591 1033 l S NP 6582 1431 m 6586 1346 l S NP 6577 1424 m 6582 1431 l S NP 6573 1369 m 6577 1424 l S NP 6568 1348 m 6573 1369 l S NP 6564 1341 m 6568 1348 l S NP 6559 1536 m 6564 1341 l S NP 6555 1799 m 6559 1536 l S NP 6550 2014 m 6555 1799 l S NP 6546 2121 m 6550 2014 l S NP 6541 2115 m 6546 2121 l S NP 6537 2041 m 6541 2115 l S NP 6532 1737 m 6537 2041 l S NP 6528 1562 m 6532 1737 l S NP 6524 1643 m 6528 1562 l S NP 6519 1979 m 6524 1643 l S NP 6515 2206 m 6519 1979 l S NP 6510 2412 m 6515 2206 l S NP 6506 2858 m 6510 2412 l S NP 6501 3182 m 6506 2858 l S NP 6497 3363 m 6501 3182 l S NP 6492 3317 m 6497 3363 l S NP 6488 3287 m 6492 3317 l S NP 6483 3360 m 6488 3287 l S NP 6479 3569 m 6483 3360 l S NP 6474 3758 m 6479 3569 l S NP 6470 3737 m 6474 3758 l S NP 6465 3787 m 6470 3737 l S NP 6461 3618 m 6465 3787 l S NP 6456 3535 m 6461 3618 l S NP 6452 3547 m 6456 3535 l S NP 6447 3544 m 6452 3547 l S NP 6443 3655 m 6447 3544 l S NP 6438 3653 m 6443 3655 l S NP 6434 3844 m 6438 3653 l S NP 6429 3893 m 6434 3844 l S NP 6425 3719 m 6429 3893 l S NP 6420 3579 m 6425 3719 l S NP 6416 3375 m 6420 3579 l S NP 6411 3280 m 6416 3375 l S NP 6407 3256 m 6411 3280 l S NP 6402 3273 m 6407 3256 l S NP 6398 3264 m 6402 3273 l S NP 6393 3277 m 6398 3264 l S NP 6389 3207 m 6393 3277 l S NP 6384 3277 m 6389 3207 l S NP 6380 3280 m 6384 3277 l S NP 6375 3268 m 6380 3280 l S NP 6371 3360 m 6375 3268 l S NP 6366 3447 m 6371 3360 l S NP 6362 3608 m 6366 3447 l S NP 6358 3628 m 6362 3608 l S NP 6353 3533 m 6358 3628 l S NP 6349 3415 m 6353 3533 l S NP 6344 3321 m 6349 3415 l S NP 6340 3439 m 6344 3321 l S NP 6335 3543 m 6340 3439 l S NP 6331 3618 m 6335 3543 l S NP 6326 3874 m 6331 3618 l S NP 6322 4117 m 6326 3874 l S NP 6317 4179 m 6322 4117 l S NP 6313 4089 m 6317 4179 l S NP 6308 3912 m 6313 4089 l S NP 6304 3957 m 6308 3912 l S NP 6299 3999 m 6304 3957 l S NP 6295 3884 m 6299 3999 l S NP 6290 3811 m 6295 3884 l S NP 6286 3907 m 6290 3811 l S NP 6281 4079 m 6286 3907 l S NP 6277 4284 m 6281 4079 l S NP 6272 4377 m 6277 4284 l S NP 6268 4331 m 6272 4377 l S NP 6263 4241 m 6268 4331 l S NP 6259 4230 m 6263 4241 l S NP 6254 4310 m 6259 4230 l S NP 6250 4327 m 6254 4310 l S NP 6245 4041 m 6250 4327 l S NP 6241 3650 m 6245 4041 l S NP 6236 3355 m 6241 3650 l S NP 6232 3256 m 6236 3355 l S NP 6227 3194 m 6232 3256 l S NP 6223 3139 m 6227 3194 l S NP 6218 3132 m 6223 3139 l S NP 6214 3138 m 6218 3132 l S NP 6209 3083 m 6214 3138 l S NP 6205 2978 m 6209 3083 l S NP 6200 2906 m 6205 2978 l S NP 6196 2834 m 6200 2906 l S NP 6191 2724 m 6196 2834 l S NP 6187 2697 m 6191 2724 l S NP 6183 2606 m 6187 2697 l S NP 6178 2628 m 6183 2606 l S NP 6174 2606 m 6178 2628 l S NP 6169 2552 m 6174 2606 l S NP 6165 2521 m 6169 2552 l S NP 6160 2572 m 6165 2521 l S NP 6156 2596 m 6160 2572 l S NP 6151 2662 m 6156 2596 l S NP 6147 2717 m 6151 2662 l S NP 6142 2698 m 6147 2717 l S NP 6138 2647 m 6142 2698 l S NP 6133 2673 m 6138 2647 l S NP 6129 2731 m 6133 2673 l S NP 6124 2881 m 6129 2731 l S NP 6120 2967 m 6124 2881 l S NP 6115 2937 m 6120 2967 l S NP 6111 3082 m 6115 2937 l S NP 6106 3311 m 6111 3082 l S NP 6102 3053 m 6106 3311 l S NP 6097 2712 m 6102 3053 l S NP 6093 2316 m 6097 2712 l S NP 6088 2034 m 6093 2316 l S NP 6084 1847 m 6088 2034 l S NP 6079 1038 m 6084 1847 l S NP 6075 989 m 6079 1038 l S NP 6070 690 m 6075 989 l S NP 6066 617 m 6070 690 l S NP 6061 630 m 6066 617 l S NP 6057 576 m 6061 630 l S NP 6052 607 m 6057 576 l S NP 6048 604 m 6052 607 l S NP 6043 597 m 6048 604 l S NP 6039 611 m 6043 597 l S NP 6034 637 m 6039 611 l S NP 6030 648 m 6034 637 l S NP 6025 700 m 6030 648 l S NP 6021 712 m 6025 700 l S NP 6016 827 m 6021 712 l S NP 6012 881 m 6016 827 l S NP 6008 895 m 6012 881 l S NP 6003 917 m 6008 895 l S NP 5999 876 m 6003 917 l S NP 5994 804 m 5999 876 l S NP 5990 720 m 5994 804 l S NP 5985 649 m 5990 720 l S NP 5981 637 m 5985 649 l S NP 5976 606 m 5981 637 l S NP 5972 627 m 5976 606 l S NP 5967 804 m 5972 627 l S NP 5963 788 m 5967 804 l S NP 5958 839 m 5963 788 l S NP 5954 889 m 5958 839 l S NP 5949 935 m 5954 889 l S NP 5945 989 m 5949 935 l S NP 5940 1066 m 5945 989 l S NP 5936 1216 m 5940 1066 l S NP 5931 1287 m 5936 1216 l S NP 5927 1396 m 5931 1287 l S NP 5922 1455 m 5927 1396 l S NP 5918 1520 m 5922 1455 l S NP 5913 1533 m 5918 1520 l S NP 5909 1587 m 5913 1533 l S NP 5904 1533 m 5909 1587 l S NP 5900 1442 m 5904 1533 l S NP 5895 1451 m 5900 1442 l S NP 5891 1419 m 5895 1451 l S NP 5886 1333 m 5891 1419 l S NP 5882 1262 m 5886 1333 l S NP 5877 1150 m 5882 1262 l S NP 5873 1081 m 5877 1150 l S NP 5868 1025 m 5873 1081 l S NP 5864 995 m 5868 1025 l S NP 5859 974 m 5864 995 l S NP 5855 878 m 5859 974 l S NP 5850 856 m 5855 878 l S NP 5846 777 m 5850 856 l S NP 5842 782 m 5846 777 l S NP 5837 726 m 5842 782 l S NP 5833 714 m 5837 726 l S NP 5828 852 m 5833 714 l S NP 5824 887 m 5828 852 l S NP 5819 995 m 5824 887 l S NP 5815 1057 m 5819 995 l S NP 5810 1199 m 5815 1057 l S NP 5806 1125 m 5810 1199 l S NP 5801 1202 m 5806 1125 l S NP 5797 1303 m 5801 1202 l S NP 5792 1609 m 5797 1303 l S NP 5788 1647 m 5792 1609 l S NP 5783 1948 m 5788 1647 l S NP 5779 2327 m 5783 1948 l S NP 5774 2785 m 5779 2327 l S NP 5770 3297 m 5774 2785 l S NP 5765 3406 m 5770 3297 l S NP 5761 3458 m 5765 3406 l S NP 5756 3311 m 5761 3458 l S NP 5752 3001 m 5756 3311 l S NP 5747 3565 m 5752 3001 l S NP 5743 3860 m 5747 3565 l S NP 5738 3925 m 5743 3860 l S NP 5734 3916 m 5738 3925 l S NP 5729 3953 m 5734 3916 l S NP 5725 3967 m 5729 3953 l S NP 5720 3965 m 5725 3967 l S NP 5716 3933 m 5720 3965 l S NP 5711 3879 m 5716 3933 l S NP 5707 3913 m 5711 3879 l S NP 5702 3936 m 5707 3913 l S NP 5698 3873 m 5702 3936 l S NP 5693 3856 m 5698 3873 l S NP 5689 3828 m 5693 3856 l S NP 5684 3820 m 5689 3828 l S NP 5680 3846 m 5684 3820 l S NP 5675 3750 m 5680 3846 l S NP 5671 3713 m 5675 3750 l S NP 5667 3675 m 5671 3713 l S NP 5662 3634 m 5667 3675 l S NP 5658 3619 m 5662 3634 l S NP 5653 3666 m 5658 3619 l S NP 5649 3645 m 5653 3666 l S NP 5644 3628 m 5649 3645 l S NP 5640 3606 m 5644 3628 l S NP 5635 3680 m 5640 3606 l S NP 5631 3733 m 5635 3680 l S NP 5626 3806 m 5631 3733 l S NP 5622 3770 m 5626 3806 l S NP 5617 3768 m 5622 3770 l S NP 5613 3709 m 5617 3768 l S NP 5608 3764 m 5613 3709 l S NP 5604 3749 m 5608 3764 l S NP 5599 3792 m 5604 3749 l S NP 5595 3848 m 5599 3792 l S NP 5590 3895 m 5595 3848 l S NP 5586 3947 m 5590 3895 l S NP 5581 3969 m 5586 3947 l S NP 5577 3970 m 5581 3969 l S NP 5572 3991 m 5577 3970 l S NP 5568 4009 m 5572 3991 l S NP 5563 3999 m 5568 4009 l S NP 5559 4009 m 5563 3999 l S NP 5554 3996 m 5559 4009 l S NP 5550 3999 m 5554 3996 l S NP 5545 3902 m 5550 3999 l S NP 5541 3934 m 5545 3902 l S NP 5536 3970 m 5541 3934 l S NP 5532 3988 m 5536 3970 l S NP 5527 3924 m 5532 3988 l S NP 5523 3903 m 5527 3924 l S NP 5518 3834 m 5523 3903 l S NP 5514 3860 m 5518 3834 l S NP 5509 3875 m 5514 3860 l S NP 5505 3755 m 5509 3875 l S NP 5500 3726 m 5505 3755 l S NP 5496 3740 m 5500 3726 l S NP 5492 3677 m 5496 3740 l S NP 5487 3715 m 5492 3677 l S NP 5483 3656 m 5487 3715 l S NP 5478 3628 m 5483 3656 l S NP 5474 3581 m 5478 3628 l S NP 5469 3611 m 5474 3581 l S NP 5465 3546 m 5469 3611 l S NP 5460 3484 m 5465 3546 l S NP 5456 3413 m 5460 3484 l S NP 5451 3388 m 5456 3413 l S NP 5447 3280 m 5451 3388 l S NP 5442 3231 m 5447 3280 l S NP 5438 3176 m 5442 3231 l S NP 5433 3127 m 5438 3176 l S NP 5429 3010 m 5433 3127 l S NP 5424 2872 m 5429 3010 l S NP 5420 2754 m 5424 2872 l S NP 5415 2587 m 5420 2754 l S NP 5411 2463 m 5415 2587 l S NP 5406 2331 m 5411 2463 l S NP 5402 2170 m 5406 2331 l S NP 5397 1996 m 5402 2170 l S NP 5393 1927 m 5397 1996 l S NP 5388 1925 m 5393 1927 l S NP 5384 1874 m 5388 1925 l S NP 5379 1839 m 5384 1874 l S NP 5375 1802 m 5379 1839 l S NP 5370 1807 m 5375 1802 l S NP 5366 1813 m 5370 1807 l S NP 5361 1712 m 5366 1813 l S NP 5357 1620 m 5361 1712 l S NP 5352 1537 m 5357 1620 l S NP 5348 1485 m 5352 1537 l S NP 5343 1441 m 5348 1485 l S NP 5339 1409 m 5343 1441 l S NP 5334 1390 m 5339 1409 l S NP 5330 1374 m 5334 1390 l S NP 5326 1387 m 5330 1374 l S NP 5321 1406 m 5326 1387 l S NP 5317 1450 m 5321 1406 l S NP 5312 1448 m 5317 1450 l S NP 5308 1421 m 5312 1448 l S NP 5303 1413 m 5308 1421 l S NP 5299 1415 m 5303 1413 l S NP 5294 1450 m 5299 1415 l S NP 5290 1424 m 5294 1450 l S NP 5285 1447 m 5290 1424 l S NP 5281 1425 m 5285 1447 l S NP 5276 1436 m 5281 1425 l S NP 5272 1395 m 5276 1436 l S NP 5267 1382 m 5272 1395 l S NP 5263 1406 m 5267 1382 l S NP 5258 1365 m 5263 1406 l S NP 5254 1354 m 5258 1365 l S NP 5249 1339 m 5254 1354 l S NP 5245 1296 m 5249 1339 l S NP 5240 1251 m 5245 1296 l S NP 5236 1207 m 5240 1251 l S NP 5231 1230 m 5236 1207 l S NP 5227 1221 m 5231 1230 l S NP 5222 1192 m 5227 1221 l S NP 5218 1198 m 5222 1192 l S NP 5213 1194 m 5218 1198 l S NP 5209 1249 m 5213 1194 l S NP 5204 1202 m 5209 1249 l S NP 5200 1168 m 5204 1202 l S NP 5195 1222 m 5200 1168 l S NP 5191 1283 m 5195 1222 l S NP 5186 1298 m 5191 1283 l S NP 5182 1328 m 5186 1298 l S NP 5177 1321 m 5182 1328 l S NP 5173 1348 m 5177 1321 l S NP 5168 1346 m 5173 1348 l S NP 5164 1347 m 5168 1346 l S NP 5159 1400 m 5164 1347 l S NP 5155 1443 m 5159 1400 l S NP 5151 1453 m 5155 1443 l S NP 5146 1452 m 5151 1453 l S NP 5142 1455 m 5146 1452 l S NP 5137 1458 m 5142 1455 l S NP 5133 1516 m 5137 1458 l S NP 5128 1574 m 5133 1516 l S NP 5124 1593 m 5128 1574 l S NP 5119 1571 m 5124 1593 l S NP 5115 1580 m 5119 1571 l S NP 5110 1611 m 5115 1580 l S NP 5106 1607 m 5110 1611 l S NP 5101 1591 m 5106 1607 l S NP 5097 1624 m 5101 1591 l S NP 5092 1653 m 5097 1624 l S NP 5088 1674 m 5092 1653 l S NP 5083 1685 m 5088 1674 l S NP 5079 1669 m 5083 1685 l S NP 5074 1718 m 5079 1669 l S NP 5070 1756 m 5074 1718 l S NP 5065 1828 m 5070 1756 l S NP 5061 1868 m 5065 1828 l S NP 5056 1858 m 5061 1868 l S NP 5052 1974 m 5056 1858 l S NP 5047 2076 m 5052 1974 l S NP 5043 2187 m 5047 2076 l S NP 5038 2297 m 5043 2187 l S NP 5034 2342 m 5038 2297 l S NP 5029 2440 m 5034 2342 l S NP 5025 2476 m 5029 2440 l S NP 5020 2409 m 5025 2476 l S NP 5016 2411 m 5020 2409 l S NP 5011 2377 m 5016 2411 l S NP 5007 2393 m 5011 2377 l S NP 5002 2372 m 5007 2393 l S NP 4998 2406 m 5002 2372 l S NP 4993 2445 m 4998 2406 l S NP 4989 2480 m 4993 2445 l S NP 4985 2543 m 4989 2480 l S NP 4980 2616 m 4985 2543 l S NP 4976 2674 m 4980 2616 l S NP 4971 2730 m 4976 2674 l S NP 4967 2820 m 4971 2730 l S NP 4962 2847 m 4967 2820 l S NP 4958 2888 m 4962 2847 l S NP 4953 2902 m 4958 2888 l S NP 4949 2942 m 4953 2902 l S NP 4944 2945 m 4949 2942 l S NP 4940 2983 m 4944 2945 l S NP 4935 2987 m 4940 2983 l S NP 4931 2966 m 4935 2987 l S NP 4926 2979 m 4931 2966 l S NP 4922 2986 m 4926 2979 l S NP 4917 2937 m 4922 2986 l S NP 4913 2869 m 4917 2937 l S NP 4908 2884 m 4913 2869 l S NP 4904 2857 m 4908 2884 l S NP 4899 2835 m 4904 2857 l S NP 4895 2759 m 4899 2835 l S NP 4890 2766 m 4895 2759 l S NP 4886 2705 m 4890 2766 l S NP 4881 2685 m 4886 2705 l S NP 4877 2649 m 4881 2685 l S NP 4872 2692 m 4877 2649 l S NP 4868 2821 m 4872 2692 l S NP 4863 2906 m 4868 2821 l S NP 4859 2935 m 4863 2906 l S NP 4854 2992 m 4859 2935 l S NP 4850 2976 m 4854 2992 l S NP 4845 2968 m 4850 2976 l S NP 4841 2944 m 4845 2968 l S NP 4836 3013 m 4841 2944 l S NP 4832 3066 m 4836 3013 l S NP 4827 3112 m 4832 3066 l S NP 4823 3118 m 4827 3112 l S NP 4818 3123 m 4823 3118 l S NP 4814 3138 m 4818 3123 l S NP 4810 3116 m 4814 3138 l S NP 4805 3086 m 4810 3116 l S NP 4801 3052 m 4805 3086 l S NP 4796 3018 m 4801 3052 l S NP 4792 3071 m 4796 3018 l S NP 4787 3066 m 4792 3071 l S NP 4783 3092 m 4787 3066 l S NP 4778 3073 m 4783 3092 l S NP 4774 3069 m 4778 3073 l S NP 4769 3052 m 4774 3069 l S NP 4765 3071 m 4769 3052 l S NP 4760 3054 m 4765 3071 l S NP 4756 3018 m 4760 3054 l S NP 4751 3054 m 4756 3018 l S NP 4747 3080 m 4751 3054 l S NP 4742 3076 m 4747 3080 l S NP 4738 3058 m 4742 3076 l S NP 4733 3056 m 4738 3058 l S NP 4729 3030 m 4733 3056 l S NP 4724 3106 m 4729 3030 l S NP 4720 3092 m 4724 3106 l S NP 4715 3104 m 4720 3092 l S NP 4711 3097 m 4715 3104 l S NP 4706 3078 m 4711 3097 l S NP 4702 3088 m 4706 3078 l S NP 4697 3059 m 4702 3088 l S NP 4693 3068 m 4697 3059 l S NP 4688 3023 m 4693 3068 l S NP 4684 3003 m 4688 3023 l S NP 4679 3054 m 4684 3003 l S NP 4675 3015 m 4679 3054 l S NP 4670 3050 m 4675 3015 l S NP 4666 2990 m 4670 3050 l S NP 4661 2970 m 4666 2990 l S NP 4657 2946 m 4661 2970 l S NP 4652 2856 m 4657 2946 l S NP 4648 2829 m 4652 2856 l S NP 4643 2745 m 4648 2829 l S NP 4639 2675 m 4643 2745 l S NP 4635 2662 m 4639 2675 l S NP 4630 2611 m 4635 2662 l S NP 4626 2559 m 4630 2611 l S NP 4621 2449 m 4626 2559 l S NP 4617 2428 m 4621 2449 l S NP 4612 2343 m 4617 2428 l S NP 4608 2298 m 4612 2343 l S NP 4603 2251 m 4608 2298 l S NP 4599 2169 m 4603 2251 l S NP 4594 2169 m 4599 2169 l S NP 4590 2211 m 4594 2169 l S NP 4585 2249 m 4590 2211 l S NP 4581 2211 m 4585 2249 l S NP 4576 2299 m 4581 2211 l S NP 4572 2283 m 4576 2299 l S NP 4567 2378 m 4572 2283 l S NP 4563 2445 m 4567 2378 l S NP 4558 2475 m 4563 2445 l S NP 4554 2518 m 4558 2475 l S NP 4549 2484 m 4554 2518 l S NP 4545 2504 m 4549 2484 l S NP 4540 2452 m 4545 2504 l S NP 4536 2478 m 4540 2452 l S NP 4531 2453 m 4536 2478 l S NP 4527 2387 m 4531 2453 l S NP 4522 2379 m 4527 2387 l S NP 4518 2270 m 4522 2379 l S NP 4513 2170 m 4518 2270 l S NP 4509 2073 m 4513 2170 l S NP 4504 2087 m 4509 2073 l S NP 4500 2084 m 4504 2087 l S NP 4495 2059 m 4500 2084 l S NP 4491 2073 m 4495 2059 l S NP 4486 2077 m 4491 2073 l S NP 4482 2089 m 4486 2077 l S NP 4477 2101 m 4482 2089 l S NP 4473 2116 m 4477 2101 l S NP 4469 2115 m 4473 2116 l S NP 4464 2122 m 4469 2115 l S NP 4460 2146 m 4464 2122 l S NP 4455 2190 m 4460 2146 l S NP 4451 2220 m 4455 2190 l S NP 4446 2299 m 4451 2220 l S NP 4442 2355 m 4446 2299 l S NP 4437 2423 m 4442 2355 l S NP 4433 2459 m 4437 2423 l S NP 4428 2441 m 4433 2459 l S NP 4424 2447 m 4428 2441 l S NP 4419 2394 m 4424 2447 l S NP 4415 2316 m 4419 2394 l S NP 4410 2207 m 4415 2316 l S NP 4406 2239 m 4410 2207 l S NP 4401 2190 m 4406 2239 l S NP 4397 2223 m 4401 2190 l S NP 4392 2202 m 4397 2223 l S NP 4388 2235 m 4392 2202 l S NP 4383 2224 m 4388 2235 l S NP 4379 2278 m 4383 2224 l S NP 4374 2251 m 4379 2278 l S NP 4370 2208 m 4374 2251 l S NP 4365 2149 m 4370 2208 l S NP 4361 2075 m 4365 2149 l S NP 4356 2077 m 4361 2075 l S NP 4352 2093 m 4356 2077 l S NP 4347 2082 m 4352 2093 l S NP 4343 2083 m 4347 2082 l S NP 4338 2085 m 4343 2083 l S NP 4334 2123 m 4338 2085 l S NP 4329 2068 m 4334 2123 l S NP 4325 2111 m 4329 2068 l S NP 4320 2108 m 4325 2111 l S NP 4316 2044 m 4320 2108 l S NP 4311 2023 m 4316 2044 l S NP 4307 2055 m 4311 2023 l S NP 4302 2094 m 4307 2055 l S NP 4298 2054 m 4302 2094 l S NP 4294 2015 m 4298 2054 l S NP 4289 2039 m 4294 2015 l S NP 4285 2049 m 4289 2039 l S NP 4280 2080 m 4285 2049 l S NP 4276 2099 m 4280 2080 l S NP 4271 2076 m 4276 2099 l S NP 4267 2075 m 4271 2076 l S NP 4262 2047 m 4267 2075 l S NP 4258 2084 m 4262 2047 l S NP 4253 2111 m 4258 2084 l S NP 4249 2127 m 4253 2111 l S NP 4244 2106 m 4249 2127 l S NP 4240 2150 m 4244 2106 l S NP 4235 2200 m 4240 2150 l S NP 4231 2194 m 4235 2200 l S NP 4226 2257 m 4231 2194 l S NP 4222 2284 m 4226 2257 l S NP 4217 2318 m 4222 2284 l S NP 4213 2266 m 4217 2318 l S NP 4208 2264 m 4213 2266 l S NP 4204 2333 m 4208 2264 l S NP 4199 2277 m 4204 2333 l S NP 4195 2319 m 4199 2277 l S NP 4190 2385 m 4195 2319 l S NP 4186 2363 m 4190 2385 l S NP 4181 2375 m 4186 2363 l S NP 4177 2388 m 4181 2375 l S NP 4172 2379 m 4177 2388 l S NP 4168 2472 m 4172 2379 l S NP 4163 2518 m 4168 2472 l S NP 4159 2587 m 4163 2518 l S NP 4154 2560 m 4159 2587 l S NP 4150 2586 m 4154 2560 l S NP 4145 2573 m 4150 2586 l S NP 4141 2569 m 4145 2573 l S NP 4136 2582 m 4141 2569 l S NP 4132 2627 m 4136 2582 l S NP 4127 2601 m 4132 2627 l S NP 4123 2588 m 4127 2601 l S NP 4119 2563 m 4123 2588 l S NP 4114 2459 m 4119 2563 l S NP 4110 2401 m 4114 2459 l S NP 4105 2335 m 4110 2401 l S NP 4101 2354 m 4105 2335 l S NP 4096 2347 m 4101 2354 l S NP 4092 2328 m 4096 2347 l S NP 4087 2311 m 4092 2328 l S NP 4083 2354 m 4087 2311 l S NP 4078 2375 m 4083 2354 l S NP 4074 2417 m 4078 2375 l S NP 4069 2484 m 4074 2417 l S NP 4065 2600 m 4069 2484 l S NP 4060 2593 m 4065 2600 l S NP 4056 2613 m 4060 2593 l S NP 4051 2635 m 4056 2613 l S NP 4047 2655 m 4051 2635 l S NP 4042 2651 m 4047 2655 l S NP 4038 2644 m 4042 2651 l S NP 4033 2671 m 4038 2644 l S NP 4029 2647 m 4033 2671 l S NP 4024 2687 m 4029 2647 l S NP 4020 2697 m 4024 2687 l S NP 4015 2651 m 4020 2697 l S NP 4011 2631 m 4015 2651 l S NP 4006 2634 m 4011 2631 l S NP 4002 2535 m 4006 2634 l S NP 3997 2473 m 4002 2535 l S NP 3993 2407 m 3997 2473 l S NP 3988 2410 m 3993 2407 l S NP 3984 2333 m 3988 2410 l S NP 3979 2330 m 3984 2333 l S NP 3975 2362 m 3979 2330 l S NP 3970 2403 m 3975 2362 l S NP 3966 2454 m 3970 2403 l S NP 3961 2490 m 3966 2454 l S NP 3957 2535 m 3961 2490 l S NP 3953 2559 m 3957 2535 l S NP 3948 2556 m 3953 2559 l S NP 3944 2563 m 3948 2556 l S NP 3939 2562 m 3944 2563 l S NP 3935 2545 m 3939 2562 l S NP 3930 2522 m 3935 2545 l S NP 3926 2451 m 3930 2522 l S NP 3921 2392 m 3926 2451 l S NP 3917 2444 m 3921 2392 l S NP 3912 2422 m 3917 2444 l S NP 3908 2485 m 3912 2422 l S NP 3903 2584 m 3908 2485 l S NP 3899 2583 m 3903 2584 l S NP 3894 2638 m 3899 2583 l S NP 3890 2652 m 3894 2638 l S NP 3885 2682 m 3890 2652 l S NP 3881 2720 m 3885 2682 l S NP 3876 2726 m 3881 2720 l S NP 3872 2732 m 3876 2726 l S NP 3867 2738 m 3872 2732 l S NP 3863 2713 m 3867 2738 l S NP 3858 2671 m 3863 2713 l S NP 3854 2698 m 3858 2671 l S NP 3849 2651 m 3854 2698 l S NP 3845 2664 m 3849 2651 l S NP 3840 2653 m 3845 2664 l S NP 3836 2649 m 3840 2653 l S NP 3831 2643 m 3836 2649 l S NP 3827 2664 m 3831 2643 l S NP 3822 2559 m 3827 2664 l S NP 3818 2534 m 3822 2559 l S NP 3813 2498 m 3818 2534 l S NP 3809 2503 m 3813 2498 l S NP 3804 2538 m 3809 2503 l S NP 3800 2532 m 3804 2538 l S NP 3795 2549 m 3800 2532 l S NP 3791 2514 m 3795 2549 l S NP 3786 2509 m 3791 2514 l S NP 3782 2510 m 3786 2509 l S NP 3778 2580 m 3782 2510 l S NP 3773 2545 m 3778 2580 l S NP 3769 2515 m 3773 2545 l S NP 3764 2492 m 3769 2515 l S NP 3760 2480 m 3764 2492 l S NP 3755 2469 m 3760 2480 l S NP 3751 2431 m 3755 2469 l S NP 3746 2478 m 3751 2431 l S NP 3742 2511 m 3746 2478 l S NP 3737 2478 m 3742 2511 l S NP 3733 2538 m 3737 2478 l S NP 3728 2499 m 3733 2538 l S NP 3724 2477 m 3728 2499 l S NP 3719 2415 m 3724 2477 l S NP 3715 2400 m 3719 2415 l S NP 3710 2360 m 3715 2400 l S NP 3706 2359 m 3710 2360 l S NP 3701 2375 m 3706 2359 l S NP 3697 2360 m 3701 2375 l S NP 3692 2334 m 3697 2360 l S NP 3688 2366 m 3692 2334 l S NP 3683 2339 m 3688 2366 l S NP 3679 2325 m 3683 2339 l S NP 3674 2307 m 3679 2325 l S NP 3670 2363 m 3674 2307 l S NP 3665 2421 m 3670 2363 l S NP 3661 2449 m 3665 2421 l S NP 3656 2483 m 3661 2449 l S NP 3652 2491 m 3656 2483 l S NP 3647 2492 m 3652 2491 l S NP 3643 2548 m 3647 2492 l S NP 3638 2555 m 3643 2548 l S NP 3634 2543 m 3638 2555 l S NP 3629 2491 m 3634 2543 l S NP 3625 2473 m 3629 2491 l S NP 3620 2468 m 3625 2473 l S NP 3616 2416 m 3620 2468 l S NP 3611 2384 m 3616 2416 l S NP 3607 2377 m 3611 2384 l S NP 3603 2310 m 3607 2377 l S NP 3598 2308 m 3603 2310 l S NP 3594 2313 m 3598 2308 l S NP 3589 2316 m 3594 2313 l S NP 3585 2294 m 3589 2316 l S NP 3580 2297 m 3585 2294 l S NP 3576 2271 m 3580 2297 l S NP 3571 2235 m 3576 2271 l S NP 3567 2275 m 3571 2235 l S NP 3562 2315 m 3567 2275 l S NP 3558 2293 m 3562 2315 l S NP 3553 2340 m 3558 2293 l S NP 3549 2423 m 3553 2340 l S NP 3544 2488 m 3549 2423 l S NP 3540 2511 m 3544 2488 l S NP 3535 2531 m 3540 2511 l S NP 3531 2549 m 3535 2531 l S NP 3526 2509 m 3531 2549 l S NP 3522 2506 m 3526 2509 l S NP 3517 2494 m 3522 2506 l S NP 3513 2449 m 3517 2494 l S NP 3508 2391 m 3513 2449 l S NP 3504 2376 m 3508 2391 l S NP 3499 2348 m 3504 2376 l S NP 3495 2309 m 3499 2348 l S NP 3490 2374 m 3495 2309 l S NP 3486 2356 m 3490 2374 l S NP 3481 2386 m 3486 2356 l S NP 3477 2403 m 3481 2386 l S NP 3472 2433 m 3477 2403 l S NP 3468 2458 m 3472 2433 l S NP 3463 2493 m 3468 2458 l S NP 3459 2463 m 3463 2493 l S NP 3454 2420 m 3459 2463 l S NP 3450 2396 m 3454 2420 l S NP 3445 2351 m 3450 2396 l S NP 3441 2321 m 3445 2351 l S NP 3437 2332 m 3441 2321 l S NP 3432 2273 m 3437 2332 l S NP 3428 2281 m 3432 2273 l S NP 3423 2235 m 3428 2281 l S NP 3419 2248 m 3423 2235 l S NP 3414 2284 m 3419 2248 l S NP 3410 2265 m 3414 2284 l S NP 3405 2286 m 3410 2265 l S NP 3401 2261 m 3405 2286 l S NP 3396 2281 m 3401 2261 l S NP 3392 2307 m 3396 2281 l S NP 3387 2318 m 3392 2307 l S NP 3383 2346 m 3387 2318 l S NP 3378 2414 m 3383 2346 l S NP 3374 2424 m 3378 2414 l S NP 3369 2375 m 3374 2424 l S NP 3365 2435 m 3369 2375 l S NP 3360 2418 m 3365 2435 l S NP 3356 2458 m 3360 2418 l S NP 3351 2410 m 3356 2458 l S NP 3347 2402 m 3351 2410 l S NP 3342 2368 m 3347 2402 l S NP 3338 2379 m 3342 2368 l S NP 3333 2402 m 3338 2379 l S NP 3329 2394 m 3333 2402 l S NP 3324 2393 m 3329 2394 l S NP 3320 2376 m 3324 2393 l S NP 3315 2350 m 3320 2376 l S NP 3311 2387 m 3315 2350 l S NP 3306 2437 m 3311 2387 l S NP 3302 2447 m 3306 2437 l S NP 3297 2455 m 3302 2447 l S NP 3293 2423 m 3297 2455 l S NP 3288 2376 m 3293 2423 l S NP 3284 2360 m 3288 2376 l S NP 3279 2384 m 3284 2360 l S NP 3275 2394 m 3279 2384 l S NP 3270 2397 m 3275 2394 l S NP 3266 2460 m 3270 2397 l S NP 3262 2497 m 3266 2460 l S NP 3257 2489 m 3262 2497 l S NP 3253 2495 m 3257 2489 l S NP 3248 2411 m 3253 2495 l S NP 3244 2442 m 3248 2411 l S NP 3239 2515 m 3244 2442 l S NP 3235 2498 m 3239 2515 l S NP 3230 2530 m 3235 2498 l S NP 3226 2492 m 3230 2530 l S NP 3221 2468 m 3226 2492 l S NP 3217 2464 m 3221 2468 l S NP 3212 2425 m 3217 2464 l S NP 3208 2433 m 3212 2425 l S NP 3203 2402 m 3208 2433 l S NP 3199 2403 m 3203 2402 l S NP 3194 2403 m 3199 2403 l S NP 3190 2382 m 3194 2403 l S NP 3185 2387 m 3190 2382 l S NP 3181 2364 m 3185 2387 l S NP 3176 2410 m 3181 2364 l S NP 3172 2411 m 3176 2410 l S NP 3167 2456 m 3172 2411 l S NP 3163 2454 m 3167 2456 l S NP 3158 2451 m 3163 2454 l S NP 3154 2460 m 3158 2451 l S NP 3149 2502 m 3154 2460 l S NP 3145 2541 m 3149 2502 l S NP 3140 2523 m 3145 2541 l S NP 3136 2563 m 3140 2523 l S NP 3131 2561 m 3136 2563 l S NP 3127 2541 m 3131 2561 l S NP 3122 2477 m 3127 2541 l S NP 3118 2523 m 3122 2477 l S NP 3113 2514 m 3118 2523 l S NP 3109 2538 m 3113 2514 l S NP 3104 2497 m 3109 2538 l S NP 3100 2453 m 3104 2497 l S NP 3095 2428 m 3100 2453 l S NP 3091 2366 m 3095 2428 l S NP 3087 2364 m 3091 2366 l S NP 3082 2365 m 3087 2364 l S NP 3078 2374 m 3082 2365 l S NP 3073 2394 m 3078 2374 l S NP 3069 2360 m 3073 2394 l S NP 3064 2379 m 3069 2360 l S NP 3060 2422 m 3064 2379 l S NP 3055 2484 m 3060 2422 l S NP 3051 2532 m 3055 2484 l S NP 3046 2506 m 3051 2532 l S NP 3042 2485 m 3046 2506 l S NP 3037 2478 m 3042 2485 l S NP 3033 2463 m 3037 2478 l S NP 3028 2454 m 3033 2463 l S NP 3024 2490 m 3028 2454 l S NP 3019 2359 m 3024 2490 l S NP 3015 2393 m 3019 2359 l S NP 3010 2437 m 3015 2393 l S NP 3006 2398 m 3010 2437 l S NP 3001 2455 m 3006 2398 l S NP 2997 2405 m 3001 2455 l S NP 2992 2484 m 2997 2405 l S NP 2988 2521 m 2992 2484 l S NP 2983 2528 m 2988 2521 l S NP 2979 2530 m 2983 2528 l S NP 2974 2511 m 2979 2530 l S NP 2970 2523 m 2974 2511 l S NP 2965 2522 m 2970 2523 l S NP 2961 2560 m 2965 2522 l S NP 2956 2562 m 2961 2560 l S NP 2952 2525 m 2956 2562 l S NP 2947 2512 m 2952 2525 l S NP 2943 2513 m 2947 2512 l S NP 2938 2465 m 2943 2513 l S NP 2934 2476 m 2938 2465 l S NP 2929 2479 m 2934 2476 l S NP 2925 2438 m 2929 2479 l S NP 2921 2482 m 2925 2438 l S NP 2916 2458 m 2921 2482 l S NP 2912 2423 m 2916 2458 l S NP 2907 2453 m 2912 2423 l S NP 2903 2435 m 2907 2453 l S NP 2898 2390 m 2903 2435 l S NP 2894 2453 m 2898 2390 l S NP 2889 2477 m 2894 2453 l S NP 2885 2439 m 2889 2477 l S NP 2880 2441 m 2885 2439 l S NP 2876 2459 m 2880 2441 l S NP 2871 2472 m 2876 2459 l S NP 2867 2464 m 2871 2472 l S NP 2862 2471 m 2867 2464 l S NP 2858 2448 m 2862 2471 l S NP 2853 2410 m 2858 2448 l S NP 2849 2418 m 2853 2410 l S NP 2844 2459 m 2849 2418 l S NP 2840 2465 m 2844 2459 l S NP 2835 2456 m 2840 2465 l S NP 2831 2487 m 2835 2456 l S NP 2826 2469 m 2831 2487 l S NP 2822 2437 m 2826 2469 l S NP 2817 2461 m 2822 2437 l S NP 2813 2414 m 2817 2461 l S NP 2808 2415 m 2813 2414 l S NP 2804 2408 m 2808 2415 l S NP 2799 2435 m 2804 2408 l S NP 2795 2471 m 2799 2435 l S NP 2790 2410 m 2795 2471 l S NP 2786 2411 m 2790 2410 l S NP 2781 2396 m 2786 2411 l S NP 2777 2411 m 2781 2396 l S NP 2772 2395 m 2777 2411 l S NP 2768 2390 m 2772 2395 l S NP 2763 2445 m 2768 2390 l S NP 2759 2437 m 2763 2445 l S NP 2754 2450 m 2759 2437 l S NP 2750 2435 m 2754 2450 l S NP 2746 2466 m 2750 2435 l S NP 2741 2451 m 2746 2466 l S NP 2737 2471 m 2741 2451 l S NP 2732 2484 m 2737 2471 l S NP 2728 2442 m 2732 2484 l S NP 2723 2481 m 2728 2442 l S NP 2719 2461 m 2723 2481 l S NP 2714 2462 m 2719 2461 l S NP 2710 2389 m 2714 2462 l S NP 2705 2438 m 2710 2389 l S NP 2701 2398 m 2705 2438 l S NP 2696 2404 m 2701 2398 l S NP 2692 2396 m 2696 2404 l S NP 2687 2374 m 2692 2396 l S NP 2683 2371 m 2687 2374 l S NP 2678 2395 m 2683 2371 l S NP 2674 2336 m 2678 2395 l S NP 2669 2423 m 2674 2336 l S NP 2665 2394 m 2669 2423 l S NP 2660 2420 m 2665 2394 l S NP 2656 2415 m 2660 2420 l S NP 2651 2413 m 2656 2415 l S NP 2647 2426 m 2651 2413 l S NP 2642 2472 m 2647 2426 l S NP 2638 2491 m 2642 2472 l S NP 2633 2425 m 2638 2491 l S NP 2629 2445 m 2633 2425 l S NP 2624 2466 m 2629 2445 l S NP 2620 2514 m 2624 2466 l S NP 2615 2517 m 2620 2514 l S NP 2611 2465 m 2615 2517 l S NP 2606 2387 m 2611 2465 l S NP 2602 2370 m 2606 2387 l S NP 2597 2410 m 2602 2370 l S NP 2593 2376 m 2597 2410 l S NP 2588 2443 m 2593 2376 l S NP 2584 2448 m 2588 2443 l S NP 2579 2425 m 2584 2448 l S NP 2575 2400 m 2579 2425 l S NP 2571 2417 m 2575 2400 l S NP 2566 2451 m 2571 2417 l S NP 2562 2456 m 2566 2451 l S NP 2557 2435 m 2562 2456 l S NP 2553 2455 m 2557 2435 l S NP 2548 2433 m 2553 2455 l S NP 2544 2422 m 2548 2433 l S NP 2539 2409 m 2544 2422 l S NP 2535 2388 m 2539 2409 l S NP 2530 2364 m 2535 2388 l S NP 2526 2374 m 2530 2364 l S NP 2521 2387 m 2526 2374 l S NP 2517 2439 m 2521 2387 l S NP 2512 2394 m 2517 2439 l S NP 2508 2409 m 2512 2394 l S NP 2503 2404 m 2508 2409 l S NP 2499 2363 m 2503 2404 l S NP 2494 2397 m 2499 2363 l S NP 2490 2438 m 2494 2397 l S NP 2485 2444 m 2490 2438 l S NP 2481 2423 m 2485 2444 l S NP 2476 2428 m 2481 2423 l S NP 2472 2426 m 2476 2428 l S NP 2467 2466 m 2472 2426 l S NP 2463 2442 m 2467 2466 l S NP 2458 2435 m 2463 2442 l S NP 2454 2423 m 2458 2435 l S NP 2449 2459 m 2454 2423 l S NP 2445 2446 m 2449 2459 l S NP 2440 2434 m 2445 2446 l S NP 2436 2423 m 2440 2434 l S NP 2431 2439 m 2436 2423 l S NP 2427 2443 m 2431 2439 l S NP 2422 2420 m 2427 2443 l S NP 2418 2476 m 2422 2420 l S NP 2413 2435 m 2418 2476 l S NP 2409 2423 m 2413 2435 l S NP 2405 2444 m 2409 2423 l S NP 2400 2438 m 2405 2444 l S NP 2396 2448 m 2400 2438 l S NP 2391 2423 m 2396 2448 l S NP 2387 2439 m 2391 2423 l S NP 2382 2447 m 2387 2439 l S NP 2378 2415 m 2382 2447 l S NP 2373 2427 m 2378 2415 l S NP 2369 2443 m 2373 2427 l S NP 2364 2441 m 2369 2443 l S NP 2360 2429 m 2364 2441 l S NP 2355 2445 m 2360 2429 l S NP 2351 2455 m 2355 2445 l S NP 2346 2422 m 2351 2455 l S NP 2342 2423 m 2346 2422 l S NP 2337 2481 m 2342 2423 l S NP 2333 2431 m 2337 2481 l S NP 2328 2467 m 2333 2431 l S NP 2324 2446 m 2328 2467 l S NP 2319 2465 m 2324 2446 l S NP 2315 2424 m 2319 2465 l S NP 2310 2443 m 2315 2424 l S NP 2306 2453 m 2310 2443 l S NP 2301 2392 m 2306 2453 l S NP 2297 2428 m 2301 2392 l S NP 2292 2447 m 2297 2428 l S NP 2288 2460 m 2292 2447 l S NP 2283 2410 m 2288 2460 l S NP 2279 2450 m 2283 2410 l S NP 2274 2416 m 2279 2450 l S NP 2270 2407 m 2274 2416 l S NP 2265 2423 m 2270 2407 l S NP 2261 2448 m 2265 2423 l S NP 2256 2427 m 2261 2448 l S NP 2252 2437 m 2256 2427 l S NP 2247 2451 m 2252 2437 l S NP 2243 2447 m 2247 2451 l S NP 2238 2462 m 2243 2447 l S NP 2234 2446 m 2238 2462 l S NP 2230 2469 m 2234 2446 l S NP 2225 2458 m 2230 2469 l S NP 2221 2437 m 2225 2458 l S NP 2216 2417 m 2221 2437 l S NP 2212 2454 m 2216 2417 l S NP 2207 2428 m 2212 2454 l S NP 2203 2468 m 2207 2428 l S NP 2198 2479 m 2203 2468 l S NP 2194 2425 m 2198 2479 l S NP 2189 2435 m 2194 2425 l S NP 2185 2449 m 2189 2435 l S NP 2180 2454 m 2185 2449 l S NP 2176 2423 m 2180 2454 l S NP 2171 2400 m 2176 2423 l S NP 2167 2415 m 2171 2400 l S NP 2162 2397 m 2167 2415 l S NP 2158 2437 m 2162 2397 l S NP 2153 2475 m 2158 2437 l S NP 2149 2499 m 2153 2475 l S NP 2144 2442 m 2149 2499 l S NP 2140 2426 m 2144 2442 l S NP 2135 2466 m 2140 2426 l S NP 2131 2434 m 2135 2466 l S NP 2126 2441 m 2131 2434 l S NP 2122 2443 m 2126 2441 l S NP 2117 2444 m 2122 2443 l S NP 2113 2452 m 2117 2444 l S NP 2108 2407 m 2113 2452 l S NP 2104 2433 m 2108 2407 l S NP 2099 2435 m 2104 2433 l S NP 2095 2457 m 2099 2435 l S NP 2090 2463 m 2095 2457 l S NP 2086 2459 m 2090 2463 l S NP 2081 2469 m 2086 2459 l S NP 2077 2461 m 2081 2469 l S NP 2072 2457 m 2077 2461 l S NP 2068 2417 m 2072 2457 l S NP 2063 2446 m 2068 2417 l S NP 2059 2440 m 2063 2446 l S NP 2055 2439 m 2059 2440 l S NP 2050 2453 m 2055 2439 l S NP 2046 2478 m 2050 2453 l S NP 2041 2456 m 2046 2478 l S NP 2037 2407 m 2041 2456 l S NP 2032 2432 m 2037 2407 l S NP 2028 2439 m 2032 2432 l S NP 2023 2449 m 2028 2439 l S NP 2019 2416 m 2023 2449 l userFont2 % bug patch -- we have a problem S (t) dup 0 stringbbox 2 idiv 702 exch sub exch 2 idiv 15475 exch sub exch m show userFont1 % bug patch -- we have a problem (W) dup 0 stringbbox 2 idiv 4421 exch sub exch 2 idiv 2373 exch sub exch m show medium setlinewidth NP 2014 500 m 2014 4500 l S thin setlinewidth NP 1917 2437 m 2014 2437 l S NP 1917 3429 m 2014 3429 l S NP 1917 1446 m 2014 1446 l S NP 1917 4421 m 2014 4421 l S medium setlinewidth NP 1750 500 m 15750 500 l S thin setlinewidth NP 2014 426 m 2014 500 l S NP 2463 463 m 2463 500 l S NP 2912 463 m 2912 500 l S NP 3360 463 m 3360 500 l S NP 3809 463 m 3809 500 l S NP 4258 426 m 4258 500 l S NP 4706 463 m 4706 500 l S NP 5155 463 m 5155 500 l S NP 5604 463 m 5604 500 l S NP 6052 463 m 6052 500 l S NP 6501 426 m 6501 500 l S NP 6950 463 m 6950 500 l S NP 7398 463 m 7398 500 l S NP 7847 463 m 7847 500 l S NP 8296 463 m 8296 500 l S NP 8745 426 m 8745 500 l S NP 9193 463 m 9193 500 l S NP 9642 463 m 9642 500 l S NP 10091 463 m 10091 500 l S NP 10539 463 m 10539 500 l S NP 10988 426 m 10988 500 l S NP 11437 463 m 11437 500 l S NP 11885 463 m 11885 500 l S NP 12334 463 m 12334 500 l S NP 12783 463 m 12783 500 l S NP 13232 426 m 13232 500 l S NP 13680 463 m 13680 500 l S NP 14129 463 m 14129 500 l S NP 14578 463 m 14578 500 l S NP 15026 463 m 15026 500 l S NP 15475 426 m 15475 500 l defaultFont S medium setlinewidth (0) dup 0 stringbbox 2 idiv 2437 exch sub exch 1875 exch sub exch m show (0.2) dup 0 stringbbox 2 idiv 3429 exch sub exch 1875 exch sub exch m show (\2610.2) dup 0 stringbbox 2 idiv 1446 exch sub exch 1875 exch sub exch m show (0.4) dup 0 stringbbox 2 idiv 4421 exch sub exch 1875 exch sub exch m show (0) dup 0 stringbbox 395 exch sub exch pop 2014 exch m show (5) dup 0 stringbbox 395 exch sub exch 2 idiv 4258 exch sub exch m show (10) dup 0 stringbbox 395 exch sub exch 2 idiv 6501 exch sub exch m show (15) dup 0 stringbbox 395 exch sub exch 2 idiv 8745 exch sub exch m show (20) dup 0 stringbbox 395 exch sub exch 2 idiv 10988 exch sub exch m show (25) dup 0 stringbbox 395 exch sub exch 2 idiv 13232 exch sub exch m show (30) dup 0 stringbbox 395 exch sub exch 2 idiv 15475 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 17500 bd sub 5000 bd sub l 17500 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 3055 34922 a(Figure)g(2:)579 b(The)434 b(piston)f(v)-36 b(elo)36 b(cit)-36 b(y)435 b Fj(W)614 b Fm(as)434 b(a)g(function)f(of)i (time)e Fj(\034)148 b Fm(.)579 b(The)433 b(same)h(run)f(as)h(in)f(Fig.) i(1.)3951 39940 y(Note)382 b(that)g(the)g(graph)g(of)h(the)e(function)h Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))382 b(lo)36 b(oks)384 b(m)-36 b(uc)g(h)381 b(smo)36 b(other)382 b(than)g(that)f(of)i Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\),)393 b(as)2000 43150 y(w)-36 b(ould)485 b(b)36 b(e)485 b(exp)36 b(ected)485 b(from)g(the)g(fact)h(that)e Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))485 b(is)g(the)g(in)-36 b(tegral)485 b(of)h Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\).)732 b(In)-36 b(terestingly)-108 b(,)499 b(b)36 b(oth)2000 46360 y(functions)433 b Fj(Y)723 b Fm(and)433 b Fj(W)614 b Fm(smo)36 b(oth)433 b(out)h(as)g(time)f(go)36 b(es)435 b(on.)3951 49570 y(This)468 b(cycle)g(of)h(the)e(gas)h(motion) g(in)f(the)g(con)-36 b(tainer)467 b(b)36 b(et)-36 b(w)g(een)467 b(the)g(w)-36 b(alls)469 b(and)e(the)g(piston)g(con-)2000 52780 y(tin)-36 b(ues)616 b(for)i(a)f(long)h(time)f(with)g(the)f(same)i (p)36 b(erio)g(d)617 b Fj(\034)29377 52979 y Fs(p)26 b(er)31447 52780 y Fi(')681 b Fm(1)p Fj(:)p Fm(63,)665 b(indep)36 b(enden)-36 b(t)615 b(of)i Fj(L)p Fm(,)664 b(but)616 b(the)2000 55991 y(amplitudes)433 b(of)h(b)36 b(oth)433 b Fj(Y)289 b Fm(\()p Fj(\034)148 b Fm(\))433 b(and)h Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))433 b(are)g(slo)-36 b(wly)436 b(decreasing,)e(see)f(Fig.)i(3.)3951 59201 y(The)304 b(oscillations)i(of)f(the)e(piston)h(with)g(deca)-36 b(ying)304 b(amplitude)g(can)g(b)36 b(e)304 b(describ)36 b(ed,)329 b(in)304 b(the)g(in)-36 b(terv)-72 b(al)2000 62411 y(30)370 b Fj(<)e(\034)517 b(<)369 b Fm(1000,)435 b(appro)-36 b(ximately)435 b(b)-36 b(y)18152 66950 y Fj(Y)18907 67149 y Fs(1)19432 66950 y Fm(\()p Fj(\034)148 b Fm(\))369 b Fi(')g Fj(Ae)24506 66401 y Ff(\000)p Fo(\025)p Fs(\()p Fo(\034)102 b Ff(\000)p Fs(20\))28988 66950 y Fm(sin)221 b Fj(!)48 b Fm(\()p Fj(\034)443 b Fi(\000)296 b Fj(\013)8 b Fm(\))13478 b(\(3.2\))2000 71488 y(with)374 b Fj(A)369 b Fm(=)g(0)p Fj(:)p Fm(046)376 b(and)d(some)i(constan)-36 b(t)373 b Fj(\025)c(>)f Fm(0.)559 b(Corresp)36 b(ondingly)-108 b(,)387 b Fj(W)37094 71687 y Fs(1)37620 71488 y Fm(\()p Fj(\034)148 b Fm(\))368 b(=)h Fj(d)72 b(Y)42597 71687 y Fs(1)43123 71488 y Fj(=d\034)522 b Fm(in)374 b(the)g(same)26350 75417 y(11)p eop %%Page: 12 12 12 11 bop 3556 18096 a @beginspecial 85 @llx 329 @lly 507 @urx 455 @ury 4220 @rwi @setspecial %%BeginDocument: pin3.eps %!PS-Adobe-3.0 EPSF-2.0 %%Title: Maple plot %%Creator: Maple %%Pages: 1 %%BoundingBox: 85 329 507 455 %%DocumentNeededResources: font Helvetica %%+ font Times-Italic %%+ font Symbol %%EndComments 20 dict begin gsave /drawborder false def /m {moveto} def /l {lineto} def /C {setrgbcolor} def /Y /setcmykcolor where { %%ifelse Use built-in operator /setcmykcolor get }{ %%ifelse Emulate setcmykcolor with setrgbcolor { %%def 1 sub 3 { %%repeat 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor } bind } ifelse def /G {setgray} def /S {stroke} def /NP {newpath} def %%%%This draws a filled polygon and avoids bugs/features %%%% of some postscript interpreters %%%%GHOSTSCRIPT: has a bug in reversepath - removing %%%%the call to reversepath is a sufficient work around /P {gsave fill grestore reversepath stroke} def %%%%This function is needed for drawing text. It takes two arguments: a %%%%string and a rotation. It outputs width and height. /stringbbox { gsave NP 0 0 m % Set origin for easy calculations. dup rotate exch % Set orientation, and put string on top. false charpath flattenpath 0 exch sub rotate % Undo rotation. pathbbox 4 2 roll pop pop % Get dimens. of our string. 1.1 mul cvi exch 1.1 mul cvi exch % Pad some. grestore} def /thin 3 def /medium 7 def /thick 16 def /boundarythick 20 def % thichess of bounding box %%IncludeResource: font Helvetica %%IncludeResource: font Times-Italic %%IncludeResource: font Symbol 54.000000 324.000000 translate /defaultTitleFont {/Helvetica findfont 711 scalefont setfont} def /defaultFont {/Helvetica findfont 295 scalefont setfont} def /userFont1 {/Times-Italic findfont 434 scalefont setfont} def /userFont2 {/Symbol findfont 434 scalefont setfont} def 0.0288 0.0288 scale 1 setlinejoin 1 setlinecap 0.0 setgray /inch {72 mul} def /fheight 0.35 inch neg def 0 G medium setlinewidth [] 0 setdash defaultFont NP 15470 2443 m 15475 2446 l S NP 15466 2442 m 15470 2443 l S NP 15461 2441 m 15466 2442 l S NP 15457 2442 m 15461 2441 l S NP 15452 2439 m 15457 2442 l S NP 15448 2437 m 15452 2439 l S NP 15443 2434 m 15448 2437 l S NP 15438 2429 m 15443 2434 l S NP 15434 2426 m 15438 2429 l S NP 15429 2424 m 15434 2426 l S NP 15425 2420 m 15429 2424 l S NP 15420 2416 m 15425 2420 l S NP 15415 2414 m 15420 2416 l S NP 15411 2412 m 15415 2414 l S NP 15406 2408 m 15411 2412 l S NP 15402 2402 m 15406 2408 l S NP 15397 2398 m 15402 2402 l S NP 15393 2392 m 15397 2398 l S NP 15388 2385 m 15393 2392 l S NP 15383 2381 m 15388 2385 l S NP 15379 2379 m 15383 2381 l S NP 15374 2376 m 15379 2379 l S NP 15370 2374 m 15374 2376 l S NP 15365 2371 m 15370 2374 l S NP 15361 2370 m 15365 2371 l S NP 15356 2365 m 15361 2370 l S NP 15351 2361 m 15356 2365 l S NP 15347 2357 m 15351 2361 l S NP 15342 2353 m 15347 2357 l S NP 15338 2348 m 15342 2353 l S NP 15333 2345 m 15338 2348 l S NP 15329 2342 m 15333 2345 l S NP 15324 2339 m 15329 2342 l S NP 15319 2337 m 15324 2339 l S NP 15315 2333 m 15319 2337 l S NP 15310 2329 m 15315 2333 l S NP 15306 2326 m 15310 2329 l S NP 15301 2323 m 15306 2326 l S NP 15296 2319 m 15301 2323 l S NP 15292 2316 m 15296 2319 l S NP 15287 2312 m 15292 2316 l S NP 15283 2310 m 15287 2312 l S NP 15278 2307 m 15283 2310 l S NP 15274 2304 m 15278 2307 l S NP 15269 2303 m 15274 2304 l S NP 15264 2301 m 15269 2303 l S NP 15260 2301 m 15264 2301 l S NP 15255 2300 m 15260 2301 l S NP 15251 2297 m 15255 2300 l S NP 15246 2295 m 15251 2297 l S NP 15242 2294 m 15246 2295 l S NP 15237 2292 m 15242 2294 l S NP 15232 2290 m 15237 2292 l S NP 15228 2286 m 15232 2290 l S NP 15223 2284 m 15228 2286 l S NP 15219 2282 m 15223 2284 l S NP 15214 2279 m 15219 2282 l S NP 15210 2277 m 15214 2279 l S NP 15205 2275 m 15210 2277 l S NP 15200 2272 m 15205 2275 l S NP 15196 2268 m 15200 2272 l S NP 15191 2266 m 15196 2268 l S NP 15187 2267 m 15191 2266 l S NP 15182 2266 m 15187 2267 l S NP 15177 2267 m 15182 2266 l S NP 15173 2269 m 15177 2267 l S NP 15168 2267 m 15173 2269 l S NP 15164 2266 m 15168 2267 l S NP 15159 2265 m 15164 2266 l S NP 15155 2264 m 15159 2265 l S NP 15150 2266 m 15155 2264 l S NP 15145 2270 m 15150 2266 l S NP 15141 2271 m 15145 2270 l S NP 15136 2271 m 15141 2271 l S NP 15132 2272 m 15136 2271 l S NP 15127 2274 m 15132 2272 l S NP 15123 2277 m 15127 2274 l S NP 15118 2277 m 15123 2277 l S NP 15113 2279 m 15118 2277 l S NP 15109 2279 m 15113 2279 l S NP 15104 2281 m 15109 2279 l S NP 15100 2282 m 15104 2281 l S NP 15095 2283 m 15100 2282 l S NP 15091 2284 m 15095 2283 l S NP 15086 2285 m 15091 2284 l S NP 15081 2289 m 15086 2285 l S NP 15077 2294 m 15081 2289 l S NP 15072 2298 m 15077 2294 l S NP 15068 2300 m 15072 2298 l S NP 15063 2300 m 15068 2300 l S NP 15058 2303 m 15063 2300 l S NP 15054 2308 m 15058 2303 l S NP 15049 2313 m 15054 2308 l S NP 15045 2315 m 15049 2313 l S NP 15040 2318 m 15045 2315 l S NP 15036 2322 m 15040 2318 l S NP 15031 2327 m 15036 2322 l S NP 15026 2331 m 15031 2327 l S NP 15022 2335 m 15026 2331 l S NP 15017 2340 m 15022 2335 l S NP 15013 2343 m 15017 2340 l S NP 15008 2347 m 15013 2343 l S NP 15004 2351 m 15008 2347 l S NP 14999 2353 m 15004 2351 l S NP 14994 2355 m 14999 2353 l S NP 14990 2359 m 14994 2355 l S NP 14985 2362 m 14990 2359 l S NP 14981 2365 m 14985 2362 l S NP 14976 2368 m 14981 2365 l S NP 14972 2372 m 14976 2368 l S NP 14967 2376 m 14972 2372 l S NP 14962 2382 m 14967 2376 l S NP 14958 2388 m 14962 2382 l S NP 14953 2394 m 14958 2388 l S NP 14949 2397 m 14953 2394 l S NP 14944 2399 m 14949 2397 l S NP 14939 2404 m 14944 2399 l S NP 14935 2409 m 14939 2404 l S NP 14930 2412 m 14935 2409 l S NP 14926 2415 m 14930 2412 l S NP 14921 2421 m 14926 2415 l S NP 14917 2427 m 14921 2421 l S NP 14912 2431 m 14917 2427 l S NP 14907 2434 m 14912 2431 l S NP 14903 2435 m 14907 2434 l S NP 14898 2436 m 14903 2435 l S NP 14894 2437 m 14898 2436 l S NP 14889 2439 m 14894 2437 l S NP 14885 2441 m 14889 2439 l S NP 14880 2443 m 14885 2441 l S NP 14875 2444 m 14880 2443 l S NP 14871 2443 m 14875 2444 l S NP 14866 2445 m 14871 2443 l S NP 14862 2447 m 14866 2445 l S NP 14857 2449 m 14862 2447 l S NP 14853 2450 m 14857 2449 l S NP 14848 2451 m 14853 2450 l S NP 14843 2452 m 14848 2451 l S NP 14839 2450 m 14843 2452 l S NP 14834 2449 m 14839 2450 l S NP 14830 2450 m 14834 2449 l S NP 14825 2451 m 14830 2450 l S NP 14820 2451 m 14825 2451 l S NP 14816 2449 m 14820 2451 l S NP 14811 2448 m 14816 2449 l S NP 14807 2448 m 14811 2448 l S NP 14802 2448 m 14807 2448 l S NP 14798 2448 m 14802 2448 l S NP 14793 2451 m 14798 2448 l S NP 14788 2454 m 14793 2451 l S NP 14784 2456 m 14788 2454 l S NP 14779 2456 m 14784 2456 l S NP 14775 2455 m 14779 2456 l S NP 14770 2453 m 14775 2455 l S NP 14766 2451 m 14770 2453 l S NP 14761 2448 m 14766 2451 l S NP 14756 2445 m 14761 2448 l S NP 14752 2444 m 14756 2445 l S NP 14747 2443 m 14752 2444 l S NP 14743 2442 m 14747 2443 l S NP 14738 2442 m 14743 2442 l S NP 14734 2442 m 14738 2442 l S NP 14729 2441 m 14734 2442 l S NP 14724 2441 m 14729 2441 l S NP 14720 2439 m 14724 2441 l S NP 14715 2438 m 14720 2439 l S NP 14711 2434 m 14715 2438 l S NP 14706 2430 m 14711 2434 l S NP 14701 2428 m 14706 2430 l S NP 14697 2424 m 14701 2428 l S NP 14692 2423 m 14697 2424 l S NP 14688 2423 m 14692 2423 l S NP 14683 2420 m 14688 2423 l S NP 14679 2415 m 14683 2420 l S NP 14674 2410 m 14679 2415 l S NP 14669 2406 m 14674 2410 l S NP 14665 2403 m 14669 2406 l S NP 14660 2401 m 14665 2403 l S NP 14656 2399 m 14660 2401 l S NP 14651 2396 m 14656 2399 l S NP 14647 2393 m 14651 2396 l S NP 14642 2391 m 14647 2393 l S NP 14637 2388 m 14642 2391 l S NP 14633 2384 m 14637 2388 l S NP 14628 2379 m 14633 2384 l S NP 14624 2375 m 14628 2379 l S NP 14619 2374 m 14624 2375 l S NP 14615 2373 m 14619 2374 l S NP 14610 2368 m 14615 2373 l S NP 14605 2367 m 14610 2368 l S NP 14601 2363 m 14605 2367 l S NP 14596 2361 m 14601 2363 l S NP 14592 2358 m 14596 2361 l S NP 14587 2357 m 14592 2358 l S NP 14582 2354 m 14587 2357 l S NP 14578 2353 m 14582 2354 l S NP 14573 2348 m 14578 2353 l S NP 14569 2343 m 14573 2348 l S NP 14564 2336 m 14569 2343 l S NP 14560 2331 m 14564 2336 l S NP 14555 2325 m 14560 2331 l S NP 14550 2321 m 14555 2325 l S NP 14546 2317 m 14550 2321 l S NP 14541 2316 m 14546 2317 l S NP 14537 2315 m 14541 2316 l S NP 14532 2315 m 14537 2315 l S NP 14528 2314 m 14532 2315 l S NP 14523 2312 m 14528 2314 l S NP 14518 2311 m 14523 2312 l S NP 14514 2309 m 14518 2311 l S NP 14509 2307 m 14514 2309 l S NP 14505 2305 m 14509 2307 l S NP 14500 2302 m 14505 2305 l S NP 14496 2298 m 14500 2302 l S NP 14491 2296 m 14496 2298 l S NP 14486 2293 m 14491 2296 l S NP 14482 2292 m 14486 2293 l S NP 14477 2290 m 14482 2292 l S NP 14473 2292 m 14477 2290 l S NP 14468 2294 m 14473 2292 l S NP 14463 2293 m 14468 2294 l S NP 14459 2293 m 14463 2293 l S NP 14454 2292 m 14459 2293 l S NP 14450 2291 m 14454 2292 l S NP 14445 2289 m 14450 2291 l S NP 14441 2289 m 14445 2289 l S NP 14436 2287 m 14441 2289 l S NP 14431 2286 m 14436 2287 l S NP 14427 2285 m 14431 2286 l S NP 14422 2283 m 14427 2285 l S NP 14418 2279 m 14422 2283 l S NP 14413 2277 m 14418 2279 l S NP 14409 2277 m 14413 2277 l S NP 14404 2278 m 14409 2277 l S NP 14399 2278 m 14404 2278 l S NP 14395 2277 m 14399 2278 l S NP 14390 2277 m 14395 2277 l S NP 14386 2278 m 14390 2277 l S NP 14381 2280 m 14386 2278 l S NP 14377 2283 m 14381 2280 l S NP 14372 2283 m 14377 2283 l S NP 14367 2279 m 14372 2283 l S NP 14363 2277 m 14367 2279 l S NP 14358 2276 m 14363 2277 l S NP 14354 2278 m 14358 2276 l S NP 14349 2281 m 14354 2278 l S NP 14344 2286 m 14349 2281 l S NP 14340 2290 m 14344 2286 l S NP 14335 2293 m 14340 2290 l S NP 14331 2294 m 14335 2293 l S NP 14326 2296 m 14331 2294 l S NP 14322 2301 m 14326 2296 l S NP 14317 2303 m 14322 2301 l S NP 14312 2305 m 14317 2303 l S NP 14308 2310 m 14312 2305 l S NP 14303 2312 m 14308 2310 l S NP 14299 2313 m 14303 2312 l S NP 14294 2314 m 14299 2313 l S NP 14290 2317 m 14294 2314 l S NP 14285 2318 m 14290 2317 l S NP 14280 2320 m 14285 2318 l S NP 14276 2323 m 14280 2320 l S NP 14271 2324 m 14276 2323 l S NP 14267 2326 m 14271 2324 l S NP 14262 2330 m 14267 2326 l S NP 14258 2333 m 14262 2330 l S NP 14253 2337 m 14258 2333 l S NP 14248 2340 m 14253 2337 l S NP 14244 2343 m 14248 2340 l S NP 14239 2346 m 14244 2343 l S NP 14235 2348 m 14239 2346 l S NP 14230 2349 m 14235 2348 l S NP 14225 2351 m 14230 2349 l S NP 14221 2355 m 14225 2351 l S NP 14216 2359 m 14221 2355 l S NP 14212 2361 m 14216 2359 l S NP 14207 2364 m 14212 2361 l S NP 14203 2370 m 14207 2364 l S NP 14198 2373 m 14203 2370 l S NP 14193 2376 m 14198 2373 l S NP 14189 2379 m 14193 2376 l S NP 14184 2382 m 14189 2379 l S NP 14180 2386 m 14184 2382 l S NP 14175 2386 m 14180 2386 l S NP 14171 2388 m 14175 2386 l S NP 14166 2392 m 14171 2388 l S NP 14161 2397 m 14166 2392 l S NP 14157 2399 m 14161 2397 l S NP 14152 2402 m 14157 2399 l S NP 14148 2407 m 14152 2402 l S NP 14143 2411 m 14148 2407 l S NP 14139 2417 m 14143 2411 l S NP 14134 2422 m 14139 2417 l S NP 14129 2424 m 14134 2422 l S NP 14125 2426 m 14129 2424 l S NP 14120 2429 m 14125 2426 l S NP 14116 2430 m 14120 2429 l S NP 14111 2434 m 14116 2430 l S NP 14106 2438 m 14111 2434 l S NP 14102 2440 m 14106 2438 l S NP 14097 2442 m 14102 2440 l S NP 14093 2443 m 14097 2442 l S NP 14088 2447 m 14093 2443 l S NP 14084 2452 m 14088 2447 l S NP 14079 2456 m 14084 2452 l S NP 14074 2459 m 14079 2456 l S NP 14070 2458 m 14074 2459 l S NP 14065 2458 m 14070 2458 l S NP 14061 2457 m 14065 2458 l S NP 14056 2457 m 14061 2457 l S NP 14052 2457 m 14056 2457 l S NP 14047 2457 m 14052 2457 l S NP 14042 2459 m 14047 2457 l S NP 14038 2459 m 14042 2459 l S NP 14033 2460 m 14038 2459 l S NP 14029 2461 m 14033 2460 l S NP 14024 2462 m 14029 2461 l S NP 14020 2463 m 14024 2462 l S NP 14015 2465 m 14020 2463 l S NP 14010 2464 m 14015 2465 l S NP 14006 2465 m 14010 2464 l S NP 14001 2464 m 14006 2465 l S NP 13997 2462 m 14001 2464 l S NP 13992 2460 m 13997 2462 l S NP 13987 2461 m 13992 2460 l S NP 13983 2460 m 13987 2461 l S NP 13978 2460 m 13983 2460 l S NP 13974 2459 m 13978 2460 l S NP 13969 2458 m 13974 2459 l S NP 13965 2458 m 13969 2458 l S NP 13960 2456 m 13965 2458 l S NP 13955 2449 m 13960 2456 l S NP 13951 2448 m 13955 2449 l S NP 13946 2446 m 13951 2448 l S NP 13942 2442 m 13946 2446 l S NP 13937 2438 m 13942 2442 l S NP 13933 2436 m 13937 2438 l S NP 13928 2432 m 13933 2436 l S NP 13923 2430 m 13928 2432 l S NP 13919 2427 m 13923 2430 l S NP 13914 2425 m 13919 2427 l S NP 13910 2424 m 13914 2425 l S NP 13905 2421 m 13910 2424 l S NP 13901 2416 m 13905 2421 l S NP 13896 2414 m 13901 2416 l S NP 13891 2411 m 13896 2414 l S NP 13887 2407 m 13891 2411 l S NP 13882 2400 m 13887 2407 l S NP 13878 2394 m 13882 2400 l S NP 13873 2393 m 13878 2394 l S NP 13868 2389 m 13873 2393 l S NP 13864 2382 m 13868 2389 l S NP 13859 2376 m 13864 2382 l S NP 13855 2370 m 13859 2376 l S NP 13850 2366 m 13855 2370 l S NP 13846 2363 m 13850 2366 l S NP 13841 2358 m 13846 2363 l S NP 13836 2353 m 13841 2358 l S NP 13832 2349 m 13836 2353 l S NP 13827 2345 m 13832 2349 l S NP 13823 2343 m 13827 2345 l S NP 13818 2340 m 13823 2343 l S NP 13814 2336 m 13818 2340 l S NP 13809 2332 m 13814 2336 l S NP 13804 2327 m 13809 2332 l S NP 13800 2323 m 13804 2327 l S NP 13795 2318 m 13800 2323 l S NP 13791 2316 m 13795 2318 l S NP 13786 2314 m 13791 2316 l S NP 13781 2310 m 13786 2314 l S NP 13777 2308 m 13781 2310 l S NP 13772 2306 m 13777 2308 l S NP 13768 2303 m 13772 2306 l S NP 13763 2302 m 13768 2303 l S NP 13759 2300 m 13763 2302 l S NP 13754 2297 m 13759 2300 l S NP 13749 2295 m 13754 2297 l S NP 13745 2293 m 13749 2295 l S NP 13740 2292 m 13745 2293 l S NP 13736 2290 m 13740 2292 l S NP 13731 2284 m 13736 2290 l S NP 13727 2282 m 13731 2284 l S NP 13722 2281 m 13727 2282 l S NP 13717 2279 m 13722 2281 l S NP 13713 2281 m 13717 2279 l S NP 13708 2281 m 13713 2281 l S NP 13704 2279 m 13708 2281 l S NP 13699 2278 m 13704 2279 l S NP 13695 2274 m 13699 2278 l S NP 13690 2274 m 13695 2274 l S NP 13685 2274 m 13690 2274 l S NP 13681 2273 m 13685 2274 l S NP 13676 2271 m 13681 2273 l S NP 13672 2267 m 13676 2271 l S NP 13667 2266 m 13672 2267 l S NP 13662 2267 m 13667 2266 l S NP 13658 2266 m 13662 2267 l S NP 13653 2265 m 13658 2266 l S NP 13649 2266 m 13653 2265 l S NP 13644 2267 m 13649 2266 l S NP 13640 2267 m 13644 2267 l S NP 13635 2268 m 13640 2267 l S NP 13630 2271 m 13635 2268 l S NP 13626 2273 m 13630 2271 l S NP 13621 2274 m 13626 2273 l S NP 13617 2276 m 13621 2274 l S NP 13612 2276 m 13617 2276 l S NP 13608 2276 m 13612 2276 l S NP 13603 2279 m 13608 2276 l S NP 13598 2285 m 13603 2279 l S NP 13594 2289 m 13598 2285 l S NP 13589 2290 m 13594 2289 l S NP 13585 2291 m 13589 2290 l S NP 13580 2293 m 13585 2291 l S NP 13576 2295 m 13580 2293 l S NP 13571 2298 m 13576 2295 l S NP 13566 2302 m 13571 2298 l S NP 13562 2304 m 13566 2302 l S NP 13557 2305 m 13562 2304 l S NP 13553 2308 m 13557 2305 l S NP 13548 2312 m 13553 2308 l S NP 13544 2318 m 13548 2312 l S NP 13539 2320 m 13544 2318 l S NP 13534 2322 m 13539 2320 l S NP 13530 2324 m 13534 2322 l S NP 13525 2331 m 13530 2324 l S NP 13521 2335 m 13525 2331 l S NP 13516 2337 m 13521 2335 l S NP 13511 2338 m 13516 2337 l S NP 13507 2344 m 13511 2338 l S NP 13502 2348 m 13507 2344 l S NP 13498 2351 m 13502 2348 l S NP 13493 2354 m 13498 2351 l S NP 13489 2358 m 13493 2354 l S NP 13484 2362 m 13489 2358 l S NP 13479 2365 m 13484 2362 l S NP 13475 2369 m 13479 2365 l S NP 13470 2372 m 13475 2369 l S NP 13466 2373 m 13470 2372 l S NP 13461 2377 m 13466 2373 l S NP 13457 2380 m 13461 2377 l S NP 13452 2382 m 13457 2380 l S NP 13447 2384 m 13452 2382 l S NP 13443 2385 m 13447 2384 l S NP 13438 2386 m 13443 2385 l S NP 13434 2391 m 13438 2386 l S NP 13429 2397 m 13434 2391 l S NP 13425 2404 m 13429 2397 l S NP 13420 2407 m 13425 2404 l S NP 13415 2411 m 13420 2407 l S NP 13411 2414 m 13415 2411 l S NP 13406 2418 m 13411 2414 l S NP 13402 2423 m 13406 2418 l S NP 13397 2427 m 13402 2423 l S NP 13392 2431 m 13397 2427 l S NP 13388 2435 m 13392 2431 l S NP 13383 2438 m 13388 2435 l S NP 13379 2439 m 13383 2438 l S NP 13374 2438 m 13379 2439 l S NP 13370 2439 m 13374 2438 l S NP 13365 2442 m 13370 2439 l S NP 13360 2443 m 13365 2442 l S NP 13356 2445 m 13360 2443 l S NP 13351 2449 m 13356 2445 l S NP 13347 2449 m 13351 2449 l S NP 13342 2448 m 13347 2449 l S NP 13338 2448 m 13342 2448 l S NP 13333 2449 m 13338 2448 l S NP 13328 2446 m 13333 2449 l S NP 13324 2445 m 13328 2446 l S NP 13319 2444 m 13324 2445 l S NP 13315 2446 m 13319 2444 l S NP 13310 2451 m 13315 2446 l S NP 13305 2455 m 13310 2451 l S NP 13301 2457 m 13305 2455 l S NP 13296 2460 m 13301 2457 l S NP 13292 2460 m 13296 2460 l S NP 13287 2460 m 13292 2460 l S NP 13283 2460 m 13287 2460 l S NP 13278 2460 m 13283 2460 l S NP 13273 2461 m 13278 2460 l S NP 13269 2464 m 13273 2461 l S NP 13264 2465 m 13269 2464 l S NP 13260 2464 m 13264 2465 l S NP 13255 2463 m 13260 2464 l S NP 13251 2461 m 13255 2463 l S NP 13246 2460 m 13251 2461 l S NP 13241 2459 m 13246 2460 l S NP 13237 2457 m 13241 2459 l S NP 13232 2454 m 13237 2457 l S NP 13228 2450 m 13232 2454 l S NP 13223 2447 m 13228 2450 l S NP 13219 2445 m 13223 2447 l S NP 13214 2441 m 13219 2445 l S NP 13209 2440 m 13214 2441 l S NP 13205 2433 m 13209 2440 l S NP 13200 2429 m 13205 2433 l S NP 13196 2425 m 13200 2429 l S NP 13191 2424 m 13196 2425 l S NP 13186 2425 m 13191 2424 l S NP 12038 2363 m 12042 2401 l S NP 12033 2322 m 12038 2363 l S NP 12029 2283 m 12033 2322 l S NP 12024 2247 m 12029 2283 l S NP 12019 2210 m 12024 2247 l S NP 12015 2173 m 12019 2210 l S NP 12010 2134 m 12015 2173 l S NP 12006 2095 m 12010 2134 l S NP 12001 2056 m 12006 2095 l S NP 11996 2020 m 12001 2056 l S NP 11992 1985 m 11996 2020 l S NP 11987 1950 m 11992 1985 l S NP 11983 1917 m 11987 1950 l S NP 11978 1882 m 11983 1917 l S NP 11974 1849 m 11978 1882 l S NP 11969 1818 m 11974 1849 l S NP 11964 1790 m 11969 1818 l S NP 11960 1761 m 11964 1790 l S NP 11955 1733 m 11960 1761 l S NP 11951 1705 m 11955 1733 l S NP 11946 1677 m 11951 1705 l S NP 11942 1652 m 11946 1677 l S NP 11937 1625 m 11942 1652 l S NP 11932 1603 m 11937 1625 l S NP 11928 1581 m 11932 1603 l S NP 11923 1562 m 11928 1581 l S NP 11919 1540 m 11923 1562 l S NP 11914 1519 m 11919 1540 l S NP 11910 1501 m 11914 1519 l S NP 11905 1484 m 11910 1501 l S NP 11900 1469 m 11905 1484 l S NP 11896 1455 m 11900 1469 l S NP 11891 1443 m 11896 1455 l S NP 11887 1432 m 11891 1443 l S NP 11882 1420 m 11887 1432 l S NP 11877 1408 m 11882 1420 l S NP 11873 1400 m 11877 1408 l S NP 11868 1396 m 11873 1400 l S NP 11864 1393 m 11868 1396 l S NP 11859 1390 m 11864 1393 l S NP 11855 1387 m 11859 1390 l S NP 11850 1386 m 11855 1387 l S NP 11845 1386 m 11850 1386 l S NP 11841 1388 m 11845 1386 l S NP 11836 1393 m 11841 1388 l S NP 11832 1398 m 11836 1393 l S NP 11827 1406 m 11832 1398 l S NP 11823 1414 m 11827 1406 l S NP 11818 1425 m 11823 1414 l S NP 11813 1436 m 11818 1425 l S NP 11809 1449 m 11813 1436 l S NP 11804 1467 m 11809 1449 l S NP 11800 1485 m 11804 1467 l S NP 11795 1502 m 11800 1485 l S NP 11791 1520 m 11795 1502 l S NP 11786 1539 m 11791 1520 l S NP 11781 1560 m 11786 1539 l S NP 11777 1582 m 11781 1560 l S NP 11772 1603 m 11777 1582 l S NP 11768 1627 m 11772 1603 l S NP 11763 1652 m 11768 1627 l S NP 11758 1677 m 11763 1652 l S NP 11754 1705 m 11758 1677 l S NP 11749 1733 m 11754 1705 l S NP 11745 1762 m 11749 1733 l S NP 11740 1794 m 11745 1762 l S NP 11736 1827 m 11740 1794 l S NP 11731 1859 m 11736 1827 l S NP 11726 1890 m 11731 1859 l S NP 11722 1922 m 11726 1890 l S NP 11717 1957 m 11722 1922 l S NP 11713 1990 m 11717 1957 l S NP 11708 2026 m 11713 1990 l S NP 11704 2064 m 11708 2026 l S NP 11699 2103 m 11704 2064 l S NP 11694 2138 m 11699 2103 l S NP 11690 2175 m 11694 2138 l S NP 11685 2212 m 11690 2175 l S NP 11681 2248 m 11685 2212 l S NP 11676 2285 m 11681 2248 l S NP 11672 2324 m 11676 2285 l S NP 11667 2362 m 11672 2324 l S NP 11662 2402 m 11667 2362 l S NP 11658 2443 m 11662 2402 l S NP 11653 2482 m 11658 2443 l S NP 11649 2522 m 11653 2482 l S NP 11644 2560 m 11649 2522 l S NP 11639 2598 m 11644 2560 l S NP 11635 2634 m 11639 2598 l S NP 11630 2671 m 11635 2634 l S NP 11626 2707 m 11630 2671 l S NP 11621 2743 m 11626 2707 l S NP 11617 2781 m 11621 2743 l S NP 11612 2815 m 11617 2781 l S NP 11607 2847 m 11612 2815 l S NP 11603 2881 m 11607 2847 l S NP 11598 2914 m 11603 2881 l S NP 11594 2945 m 11598 2914 l S NP 11589 2974 m 11594 2945 l S NP 11585 3004 m 11589 2974 l S NP 11580 3034 m 11585 3004 l S NP 11575 3062 m 11580 3034 l S NP 11571 3087 m 11575 3062 l S NP 11566 3109 m 11571 3087 l S NP 11562 3132 m 11566 3109 l S NP 11557 3156 m 11562 3132 l S NP 11553 3181 m 11557 3156 l S NP 11548 3201 m 11553 3181 l S NP 11543 3222 m 11548 3201 l S NP 11539 3240 m 11543 3222 l S NP 11534 3255 m 11539 3240 l S NP 11530 3270 m 11534 3255 l S NP 11525 3284 m 11530 3270 l S NP 11520 3296 m 11525 3284 l S NP 11516 3305 m 11520 3296 l S NP 11511 3314 m 11516 3305 l S NP 11507 3323 m 11511 3314 l S NP 11502 3331 m 11507 3323 l S NP 11498 3336 m 11502 3331 l S NP 11493 3340 m 11498 3336 l S NP 11488 3345 m 11493 3340 l S NP 11484 3344 m 11488 3345 l S NP 11479 3342 m 11484 3344 l S NP 11475 3338 m 11479 3342 l S NP 11470 3335 m 11475 3338 l S NP 11466 3331 m 11470 3335 l S NP 11461 3326 m 11466 3331 l S NP 11456 3318 m 11461 3326 l S NP 11452 3307 m 11456 3318 l S NP 11447 3295 m 11452 3307 l S NP 11443 3284 m 11447 3295 l S NP 11438 3273 m 11443 3284 l S NP 11434 3261 m 11438 3273 l S NP 11429 3249 m 11434 3261 l S NP 11424 3234 m 11429 3249 l S NP 11420 3216 m 11424 3234 l S NP 11415 3199 m 11420 3216 l S NP 11411 3177 m 11415 3199 l S NP 11406 3151 m 11411 3177 l S NP 11401 3126 m 11406 3151 l S NP 11397 3098 m 11401 3126 l S NP 11392 3070 m 11397 3098 l S NP 11388 3043 m 11392 3070 l S NP 11383 3016 m 11388 3043 l S NP 11379 2984 m 11383 3016 l S NP 11374 2953 m 11379 2984 l S NP 11369 2918 m 11374 2953 l S NP 11365 2884 m 11369 2918 l S NP 11360 2848 m 11365 2884 l S NP 11356 2813 m 11360 2848 l S NP 11351 2776 m 11356 2813 l S NP 11347 2739 m 11351 2776 l S NP 11342 2701 m 11347 2739 l S NP 11337 2664 m 11342 2701 l S NP 11333 2626 m 11337 2664 l S NP 11328 2586 m 11333 2626 l S NP 11324 2548 m 11328 2586 l S NP 11319 2509 m 11324 2548 l S NP 11315 2470 m 11319 2509 l S NP 11310 2433 m 11315 2470 l S NP 11305 2397 m 11310 2433 l S NP 11301 2359 m 11305 2397 l S NP 11296 2323 m 11301 2359 l S NP 11292 2287 m 11296 2323 l S NP 11287 2246 m 11292 2287 l S NP 11282 2206 m 11287 2246 l S NP 11278 2168 m 11282 2206 l S NP 11273 2133 m 11278 2168 l S NP 11269 2096 m 11273 2133 l S NP 11264 2060 m 11269 2096 l S NP 11260 2023 m 11264 2060 l S NP 11255 1986 m 11260 2023 l S NP 11250 1953 m 11255 1986 l S NP 11246 1920 m 11250 1953 l S NP 11241 1887 m 11246 1920 l S NP 11237 1855 m 11241 1887 l S NP 11232 1822 m 11237 1855 l S NP 11228 1792 m 11232 1822 l S NP 11223 1759 m 11228 1792 l S NP 11218 1730 m 11223 1759 l S NP 11214 1701 m 11218 1730 l S NP 11209 1672 m 11214 1701 l S NP 11205 1644 m 11209 1672 l S NP 11200 1615 m 11205 1644 l S NP 11195 1589 m 11200 1615 l S NP 11191 1565 m 11195 1589 l S NP 11186 1543 m 11191 1565 l S NP 11182 1521 m 11186 1543 l S NP 11177 1501 m 11182 1521 l S NP 11173 1483 m 11177 1501 l S NP 11168 1466 m 11173 1483 l S NP 11163 1450 m 11168 1466 l S NP 11159 1436 m 11163 1450 l S NP 11154 1423 m 11159 1436 l S NP 11150 1412 m 11154 1423 l S NP 11145 1401 m 11150 1412 l S NP 11141 1392 m 11145 1401 l S NP 11136 1386 m 11141 1392 l S NP 11131 1381 m 11136 1386 l S NP 11127 1376 m 11131 1381 l S NP 11122 1371 m 11127 1376 l S NP 11118 1368 m 11122 1371 l S NP 11113 1369 m 11118 1368 l S NP 11109 1370 m 11113 1369 l S NP 11104 1373 m 11109 1370 l S NP 11099 1377 m 11104 1373 l S NP 11095 1383 m 11099 1377 l S NP 11090 1390 m 11095 1383 l S NP 11086 1401 m 11090 1390 l S NP 11081 1409 m 11086 1401 l S NP 11076 1421 m 11081 1409 l S NP 11072 1437 m 11076 1421 l S NP 11067 1453 m 11072 1437 l S NP 11063 1472 m 11067 1453 l S NP 11058 1490 m 11063 1472 l S NP 11054 1510 m 11058 1490 l S NP 11049 1532 m 11054 1510 l S NP 11044 1552 m 11049 1532 l S NP 11040 1571 m 11044 1552 l S NP 11035 1594 m 11040 1571 l S NP 11031 1619 m 11035 1594 l S NP 11026 1648 m 11031 1619 l S NP 11022 1680 m 11026 1648 l S NP 11017 1707 m 11022 1680 l S NP 11012 1733 m 11017 1707 l S NP 11008 1760 m 11012 1733 l S NP 11003 1791 m 11008 1760 l S NP 10999 1823 m 11003 1791 l S NP 10994 1855 m 10999 1823 l S NP 10990 1889 m 10994 1855 l S NP 10985 1922 m 10990 1889 l S NP 10980 1955 m 10985 1922 l S NP 10976 1988 m 10980 1955 l S NP 10971 2021 m 10976 1988 l S NP 10967 2057 m 10971 2021 l S NP 10962 2092 m 10967 2057 l S NP 10957 2130 m 10962 2092 l S NP 10953 2169 m 10957 2130 l S NP 10948 2209 m 10953 2169 l S NP 10944 2250 m 10948 2209 l S NP 10939 2289 m 10944 2250 l S NP 10935 2327 m 10939 2289 l S NP 10930 2364 m 10935 2327 l S NP 10925 2402 m 10930 2364 l S NP 10921 2441 m 10925 2402 l S NP 10916 2480 m 10921 2441 l S NP 10912 2518 m 10916 2480 l S NP 10907 2556 m 10912 2518 l S NP 10903 2594 m 10907 2556 l S NP 10898 2631 m 10903 2594 l S NP 10893 2668 m 10898 2631 l S NP 10889 2705 m 10893 2668 l S NP 10884 2743 m 10889 2705 l S NP 10880 2779 m 10884 2743 l S NP 10875 2814 m 10880 2779 l S NP 10871 2848 m 10875 2814 l S NP 10866 2882 m 10871 2848 l S NP 10861 2915 m 10866 2882 l S NP 10857 2950 m 10861 2915 l S NP 10852 2984 m 10857 2950 l S NP 10848 3012 m 10852 2984 l S NP 10843 3041 m 10848 3012 l S NP 10838 3069 m 10843 3041 l S NP 10834 3097 m 10838 3069 l S NP 10829 3121 m 10834 3097 l S NP 10825 3143 m 10829 3121 l S NP 10820 3166 m 10825 3143 l S NP 10816 3185 m 10820 3166 l S NP 10811 3204 m 10816 3185 l S NP 10806 3221 m 10811 3204 l S NP 10802 3236 m 10806 3221 l S NP 10797 3253 m 10802 3236 l S NP 10793 3268 m 10797 3253 l S NP 10788 3283 m 10793 3268 l S NP 10784 3296 m 10788 3283 l S NP 10779 3309 m 10784 3296 l S NP 10774 3320 m 10779 3309 l S NP 10770 3331 m 10774 3320 l S NP 10765 3338 m 10770 3331 l S NP 10761 3346 m 10765 3338 l S NP 10756 3351 m 10761 3346 l S NP 10752 3352 m 10756 3351 l S NP 10747 3354 m 10752 3352 l S NP 10742 3352 m 10747 3354 l S NP 10738 3348 m 10742 3352 l S NP 10733 3345 m 10738 3348 l S NP 10729 3340 m 10733 3345 l S NP 10724 3331 m 10729 3340 l S NP 10719 3324 m 10724 3331 l S NP 10715 3313 m 10719 3324 l S NP 10710 3302 m 10715 3313 l S NP 10706 3290 m 10710 3302 l S NP 10701 3276 m 10706 3290 l S NP 10697 3259 m 10701 3276 l S NP 10692 3243 m 10697 3259 l S NP 10687 3226 m 10692 3243 l S NP 10683 3209 m 10687 3226 l S NP 10678 3189 m 10683 3209 l S NP 10674 3167 m 10678 3189 l S NP 10669 3144 m 10674 3167 l S NP 10665 3121 m 10669 3144 l S NP 10660 3097 m 10665 3121 l S NP 10655 3072 m 10660 3097 l S NP 10651 3045 m 10655 3072 l S NP 10646 3014 m 10651 3045 l S NP 10642 2982 m 10646 3014 l S NP 10637 2952 m 10642 2982 l S NP 10633 2922 m 10637 2952 l S NP 10628 2889 m 10633 2922 l S NP 10623 2856 m 10628 2889 l S NP 10619 2824 m 10623 2856 l S NP 10614 2790 m 10619 2824 l S NP 10610 2753 m 10614 2790 l S NP 10605 2717 m 10610 2753 l S NP 10600 2679 m 10605 2717 l S NP 10596 2640 m 10600 2679 l S NP 10591 2601 m 10596 2640 l S NP 10587 2563 m 10591 2601 l S NP 10582 2522 m 10587 2563 l S NP 10578 2482 m 10582 2522 l S NP 10573 2441 m 10578 2482 l S NP 10568 2400 m 10573 2441 l S NP 10564 2359 m 10568 2400 l S NP 10559 2321 m 10564 2359 l S NP 10555 2281 m 10559 2321 l S NP 10550 2243 m 10555 2281 l S NP 10546 2207 m 10550 2243 l S NP 10541 2172 m 10546 2207 l S NP 10536 2136 m 10541 2172 l S NP 10532 2098 m 10536 2136 l S NP 10527 2059 m 10532 2098 l S NP 10523 2020 m 10527 2059 l S NP 10518 1984 m 10523 2020 l S NP 10514 1949 m 10518 1984 l S NP 10509 1914 m 10514 1949 l S NP 10504 1877 m 10509 1914 l S NP 10500 1841 m 10504 1877 l S NP 10495 1806 m 10500 1841 l S NP 10491 1772 m 10495 1806 l S NP 10486 1739 m 10491 1772 l S NP 10481 1711 m 10486 1739 l S NP 10477 1682 m 10481 1711 l S NP 10472 1653 m 10477 1682 l S NP 10468 1625 m 10472 1653 l S NP 10463 1600 m 10468 1625 l S NP 10459 1577 m 10463 1600 l S NP 10454 1553 m 10459 1577 l S NP 10449 1532 m 10454 1553 l S NP 10445 1509 m 10449 1532 l S NP 10440 1489 m 10445 1509 l S NP 10436 1473 m 10440 1489 l S NP 10431 1457 m 10436 1473 l S NP 10427 1442 m 10431 1457 l S NP 10422 1427 m 10427 1442 l S NP 10417 1413 m 10422 1427 l S NP 10413 1402 m 10417 1413 l S NP 10408 1392 m 10413 1402 l S NP 10404 1382 m 10408 1392 l S NP 10399 1375 m 10404 1382 l S NP 10395 1368 m 10399 1375 l S NP 10390 1366 m 10395 1368 l S NP 10385 1367 m 10390 1366 l S NP 10381 1366 m 10385 1367 l S NP 10376 1364 m 10381 1366 l S NP 10372 1366 m 10376 1364 l S NP 10367 1371 m 10372 1366 l S NP 10362 1376 m 10367 1371 l S NP 10358 1384 m 10362 1376 l S NP 10353 1393 m 10358 1384 l S NP 10349 1402 m 10353 1393 l S NP 10344 1414 m 10349 1402 l S NP 10340 1426 m 10344 1414 l S NP 10335 1440 m 10340 1426 l S NP 10330 1454 m 10335 1440 l S NP 10326 1470 m 10330 1454 l S NP 10321 1487 m 10326 1470 l S NP 10317 1504 m 10321 1487 l S NP 10312 1523 m 10317 1504 l S NP 10308 1543 m 10312 1523 l S NP 10303 1564 m 10308 1543 l S NP 10298 1587 m 10303 1564 l S NP 10294 1612 m 10298 1587 l S NP 10289 1638 m 10294 1612 l S NP 10285 1667 m 10289 1638 l S NP 10280 1696 m 10285 1667 l S NP 10276 1724 m 10280 1696 l S NP 10271 1756 m 10276 1724 l S NP 10266 1789 m 10271 1756 l S NP 10262 1823 m 10266 1789 l S NP 10257 1857 m 10262 1823 l S NP 10253 1890 m 10257 1857 l S NP 10248 1923 m 10253 1890 l S NP 10243 1958 m 10248 1923 l S NP 10239 1993 m 10243 1958 l S NP 10234 2030 m 10239 1993 l S NP 10230 2067 m 10234 2030 l S NP 10225 2103 m 10230 2067 l S NP 10221 2141 m 10225 2103 l S NP 10216 2179 m 10221 2141 l S NP 10211 2215 m 10216 2179 l S NP 10207 2252 m 10211 2215 l S NP 10202 2289 m 10207 2252 l S NP 10198 2329 m 10202 2289 l S NP 10193 2368 m 10198 2329 l S NP 10189 2406 m 10193 2368 l S NP 10184 2442 m 10189 2406 l S NP 10179 2476 m 10184 2442 l S NP 10175 2512 m 10179 2476 l S NP 10170 2550 m 10175 2512 l S NP 10166 2587 m 10170 2550 l S NP 10161 2626 m 10166 2587 l S NP 10157 2663 m 10161 2626 l S NP 10152 2699 m 10157 2663 l S NP 10147 2736 m 10152 2699 l S NP 10143 2769 m 10147 2736 l S NP 10138 2805 m 10143 2769 l S NP 10134 2841 m 10138 2805 l S NP 10129 2876 m 10134 2841 l S NP 10124 2909 m 10129 2876 l S NP 10120 2942 m 10124 2909 l S NP 10115 2973 m 10120 2942 l S NP 10111 3005 m 10115 2973 l S NP 10106 3032 m 10111 3005 l S NP 10102 3060 m 10106 3032 l S NP 10097 3085 m 10102 3060 l S NP 10092 3107 m 10097 3085 l S NP 10088 3129 m 10092 3107 l S NP 10083 3151 m 10088 3129 l S NP 10079 3171 m 10083 3151 l S NP 10074 3193 m 10079 3171 l S NP 10070 3215 m 10074 3193 l S NP 10065 3237 m 10070 3215 l S NP 10060 3254 m 10065 3237 l S NP 10056 3269 m 10060 3254 l S NP 10051 3280 m 10056 3269 l S NP 10047 3290 m 10051 3280 l S NP 10042 3299 m 10047 3290 l S NP 10038 3307 m 10042 3299 l S NP 10033 3314 m 10038 3307 l S NP 10028 3321 m 10033 3314 l S NP 10024 3326 m 10028 3321 l S NP 10019 3330 m 10024 3326 l S NP 10015 3332 m 10019 3330 l S NP 10010 3335 m 10015 3332 l S NP 10005 3337 m 10010 3335 l S NP 10001 3338 m 10005 3337 l S NP 9996 3336 m 10001 3338 l S NP 9992 3334 m 9996 3336 l S NP 9987 3329 m 9992 3334 l S NP 9983 3323 m 9987 3329 l S NP 9978 3313 m 9983 3323 l S NP 9973 3301 m 9978 3313 l S NP 9969 3290 m 9973 3301 l S NP 9964 3279 m 9969 3290 l S NP 9960 3265 m 9964 3279 l S NP 9955 3250 m 9960 3265 l S NP 9951 3233 m 9955 3250 l S NP 9946 3214 m 9951 3233 l S NP 9941 3196 m 9946 3214 l S NP 9937 3177 m 9941 3196 l S NP 9932 3158 m 9937 3177 l S NP 9928 3134 m 9932 3158 l S NP 9923 3107 m 9928 3134 l S NP 9919 3082 m 9923 3107 l S NP 9914 3054 m 9919 3082 l S NP 9909 3025 m 9914 3054 l S NP 9905 2993 m 9909 3025 l S NP 9900 2961 m 9905 2993 l S NP 9896 2927 m 9900 2961 l S NP 9891 2896 m 9896 2927 l S NP 9886 2864 m 9891 2896 l S NP 9882 2829 m 9886 2864 l S NP 9877 2797 m 9882 2829 l S NP 9873 2763 m 9877 2797 l S NP 9868 2728 m 9873 2763 l S NP 9864 2690 m 9868 2728 l S NP 9859 2652 m 9864 2690 l S NP 9854 2615 m 9859 2652 l S NP 9850 2579 m 9854 2615 l S NP 9845 2543 m 9850 2579 l S NP 9841 2506 m 9845 2543 l S NP 9836 2469 m 9841 2506 l S NP 9832 2429 m 9836 2469 l S NP 9827 2390 m 9832 2429 l S NP 9822 2352 m 9827 2390 l S NP 9818 2313 m 9822 2352 l S NP 9813 2274 m 9818 2313 l S NP 9809 2235 m 9813 2274 l S NP 9804 2198 m 9809 2235 l S NP 9800 2162 m 9804 2198 l S NP 9795 2123 m 9800 2162 l S NP 9790 2086 m 9795 2123 l S NP 9786 2049 m 9790 2086 l S NP 9781 2013 m 9786 2049 l S NP 9777 1977 m 9781 2013 l S NP 9772 1941 m 9777 1977 l S NP 9767 1907 m 9772 1941 l S NP 9763 1874 m 9767 1907 l S NP 9758 1841 m 9763 1874 l S NP 9754 1808 m 9758 1841 l S NP 8605 990 m 8609 979 l S NP 8600 1002 m 8605 990 l S NP 8596 1015 m 8600 1002 l S NP 8591 1027 m 8596 1015 l S NP 8587 1040 m 8591 1027 l S NP 8582 1057 m 8587 1040 l S NP 8577 1077 m 8582 1057 l S NP 8573 1098 m 8577 1077 l S NP 8568 1120 m 8573 1098 l S NP 8564 1145 m 8568 1120 l S NP 8559 1171 m 8564 1145 l S NP 8555 1200 m 8559 1171 l S NP 8550 1231 m 8555 1200 l S NP 8545 1264 m 8550 1231 l S NP 8541 1298 m 8545 1264 l S NP 8536 1331 m 8541 1298 l S NP 8532 1365 m 8536 1331 l S NP 8527 1401 m 8532 1365 l S NP 8523 1442 m 8527 1401 l S NP 8518 1484 m 8523 1442 l S NP 8513 1528 m 8518 1484 l S NP 8509 1572 m 8513 1528 l S NP 8504 1617 m 8509 1572 l S NP 8500 1666 m 8504 1617 l S NP 8495 1714 m 8500 1666 l S NP 8490 1762 m 8495 1714 l S NP 8486 1812 m 8490 1762 l S NP 8481 1864 m 8486 1812 l S NP 8477 1916 m 8481 1864 l S NP 8472 1970 m 8477 1916 l S NP 8468 2024 m 8472 1970 l S NP 8463 2077 m 8468 2024 l S NP 8458 2130 m 8463 2077 l S NP 8454 2185 m 8458 2130 l S NP 8449 2240 m 8454 2185 l S NP 8445 2296 m 8449 2240 l S NP 8440 2350 m 8445 2296 l S NP 8436 2406 m 8440 2350 l S NP 8431 2461 m 8436 2406 l S NP 8426 2516 m 8431 2461 l S NP 8422 2569 m 8426 2516 l S NP 8417 2625 m 8422 2569 l S NP 8413 2681 m 8417 2625 l S NP 8408 2734 m 8413 2681 l S NP 8404 2789 m 8408 2734 l S NP 8399 2843 m 8404 2789 l S NP 8394 2891 m 8399 2843 l S NP 8390 2939 m 8394 2891 l S NP 8385 2985 m 8390 2939 l S NP 8381 3031 m 8385 2985 l S NP 8376 3079 m 8381 3031 l S NP 8371 3125 m 8376 3079 l S NP 8367 3168 m 8371 3125 l S NP 8362 3212 m 8367 3168 l S NP 8358 3257 m 8362 3212 l S NP 8353 3296 m 8358 3257 l S NP 8349 3334 m 8353 3296 l S NP 8344 3370 m 8349 3334 l S NP 8339 3401 m 8344 3370 l S NP 8335 3431 m 8339 3401 l S NP 8330 3464 m 8335 3431 l S NP 8326 3495 m 8330 3464 l S NP 8321 3522 m 8326 3495 l S NP 8317 3545 m 8321 3522 l S NP 8312 3567 m 8317 3545 l S NP 8307 3586 m 8312 3567 l S NP 8303 3603 m 8307 3586 l S NP 8298 3619 m 8303 3603 l S NP 8294 3633 m 8298 3619 l S NP 8289 3647 m 8294 3633 l S NP 8285 3662 m 8289 3647 l S NP 8280 3673 m 8285 3662 l S NP 8275 3683 m 8280 3673 l S NP 8271 3691 m 8275 3683 l S NP 8266 3699 m 8271 3691 l S NP 8262 3709 m 8266 3699 l S NP 8257 3717 m 8262 3709 l S NP 8252 3723 m 8257 3717 l S NP 8248 3727 m 8252 3723 l S NP 8243 3726 m 8248 3727 l S NP 8239 3719 m 8243 3726 l S NP 8234 3710 m 8239 3719 l S NP 8230 3701 m 8234 3710 l S NP 8225 3690 m 8230 3701 l S NP 8220 3679 m 8225 3690 l S NP 8216 3669 m 8220 3679 l S NP 8211 3656 m 8216 3669 l S NP 8207 3638 m 8211 3656 l S NP 8202 3616 m 8207 3638 l S NP 8198 3595 m 8202 3616 l S NP 8193 3570 m 8198 3595 l S NP 8188 3544 m 8193 3570 l S NP 8184 3516 m 8188 3544 l S NP 8179 3484 m 8184 3516 l S NP 8175 3453 m 8179 3484 l S NP 8170 3421 m 8175 3453 l S NP 8166 3385 m 8170 3421 l S NP 8161 3347 m 8166 3385 l S NP 8156 3308 m 8161 3347 l S NP 8152 3266 m 8156 3308 l S NP 8147 3225 m 8152 3266 l S NP 8143 3182 m 8147 3225 l S NP 8138 3137 m 8143 3182 l S NP 8133 3092 m 8138 3137 l S NP 8129 3047 m 8133 3092 l S NP 8124 3002 m 8129 3047 l S NP 8120 2953 m 8124 3002 l S NP 8115 2903 m 8120 2953 l S NP 8111 2853 m 8115 2903 l S NP 8106 2802 m 8111 2853 l S NP 8101 2749 m 8106 2802 l S NP 8097 2695 m 8101 2749 l S NP 8092 2642 m 8097 2695 l S NP 8088 2590 m 8092 2642 l S NP 8083 2533 m 8088 2590 l S NP 8079 2478 m 8083 2533 l S NP 8074 2423 m 8079 2478 l S NP 8069 2367 m 8074 2423 l S NP 8065 2310 m 8069 2367 l S NP 8060 2252 m 8065 2310 l S NP 8056 2197 m 8060 2252 l S NP 8051 2140 m 8056 2197 l S NP 8047 2084 m 8051 2140 l S NP 8042 2029 m 8047 2084 l S NP 8037 1974 m 8042 2029 l S NP 8033 1924 m 8037 1974 l S NP 8028 1871 m 8033 1924 l S NP 8024 1820 m 8028 1871 l S NP 8019 1771 m 8024 1820 l S NP 8014 1720 m 8019 1771 l S NP 8010 1672 m 8014 1720 l S NP 8005 1623 m 8010 1672 l S NP 8001 1575 m 8005 1623 l S NP 7996 1529 m 8001 1575 l S NP 7992 1483 m 7996 1529 l S NP 7987 1441 m 7992 1483 l S NP 7982 1401 m 7987 1441 l S NP 7978 1363 m 7982 1401 l S NP 7973 1326 m 7978 1363 l S NP 7969 1291 m 7973 1326 l S NP 7964 1258 m 7969 1291 l S NP 7960 1227 m 7964 1258 l S NP 7955 1198 m 7960 1227 l S NP 7950 1168 m 7955 1198 l S NP 7946 1140 m 7950 1168 l S NP 7941 1113 m 7946 1140 l S NP 7937 1088 m 7941 1113 l S NP 7932 1064 m 7937 1088 l S NP 7928 1046 m 7932 1064 l S NP 7923 1031 m 7928 1046 l S NP 7918 1016 m 7923 1031 l S NP 7914 1003 m 7918 1016 l S NP 7909 990 m 7914 1003 l S NP 7905 980 m 7909 990 l S NP 7900 973 m 7905 980 l S NP 7895 969 m 7900 973 l S NP 7891 967 m 7895 969 l S NP 7886 968 m 7891 967 l S NP 7882 971 m 7886 968 l S NP 7877 973 m 7882 971 l S NP 7873 980 m 7877 973 l S NP 7868 990 m 7873 980 l S NP 7863 1000 m 7868 990 l S NP 7859 1011 m 7863 1000 l S NP 7854 1023 m 7859 1011 l S NP 7850 1036 m 7854 1023 l S NP 7845 1052 m 7850 1036 l S NP 7841 1072 m 7845 1052 l S NP 7836 1094 m 7841 1072 l S NP 7831 1118 m 7836 1094 l S NP 7827 1143 m 7831 1118 l S NP 7822 1169 m 7827 1143 l S NP 7818 1195 m 7822 1169 l S NP 7813 1227 m 7818 1195 l S NP 7809 1257 m 7813 1227 l S NP 7804 1287 m 7809 1257 l S NP 7799 1320 m 7804 1287 l S NP 7795 1357 m 7799 1320 l S NP 7790 1397 m 7795 1357 l S NP 7786 1437 m 7790 1397 l S NP 7781 1478 m 7786 1437 l S NP 7776 1520 m 7781 1478 l S NP 7772 1562 m 7776 1520 l S NP 7767 1609 m 7772 1562 l S NP 7763 1653 m 7767 1609 l S NP 7758 1701 m 7763 1653 l S NP 7754 1750 m 7758 1701 l S NP 7749 1800 m 7754 1750 l S NP 7744 1851 m 7749 1800 l S NP 7740 1903 m 7744 1851 l S NP 7735 1954 m 7740 1903 l S NP 7731 2005 m 7735 1954 l S NP 7726 2060 m 7731 2005 l S NP 7722 2115 m 7726 2060 l S NP 7717 2171 m 7722 2115 l S NP 7712 2227 m 7717 2171 l S NP 7708 2283 m 7712 2227 l S NP 7703 2340 m 7708 2283 l S NP 7699 2396 m 7703 2340 l S NP 7694 2451 m 7699 2396 l S NP 7690 2506 m 7694 2451 l S NP 7685 2560 m 7690 2506 l S NP 7680 2613 m 7685 2560 l S NP 7676 2665 m 7680 2613 l S NP 7671 2720 m 7676 2665 l S NP 7667 2775 m 7671 2720 l S NP 7662 2828 m 7667 2775 l S NP 7657 2880 m 7662 2828 l S NP 7653 2931 m 7657 2880 l S NP 7648 2980 m 7653 2931 l S NP 7644 3029 m 7648 2980 l S NP 7639 3077 m 7644 3029 l S NP 7635 3122 m 7639 3077 l S NP 7630 3164 m 7635 3122 l S NP 7625 3207 m 7630 3164 l S NP 7621 3249 m 7625 3207 l S NP 7616 3288 m 7621 3249 l S NP 7612 3323 m 7616 3288 l S NP 7607 3358 m 7612 3323 l S NP 7603 3390 m 7607 3358 l S NP 7598 3423 m 7603 3390 l S NP 7593 3453 m 7598 3423 l S NP 7589 3483 m 7593 3453 l S NP 7584 3511 m 7589 3483 l S NP 7580 3538 m 7584 3511 l S NP 7575 3563 m 7580 3538 l S NP 7571 3585 m 7575 3563 l S NP 7566 3606 m 7571 3585 l S NP 7561 3626 m 7566 3606 l S NP 7557 3642 m 7561 3626 l S NP 7552 3657 m 7557 3642 l S NP 7548 3668 m 7552 3657 l S NP 7543 3678 m 7548 3668 l S NP 7538 3687 m 7543 3678 l S NP 7534 3696 m 7538 3687 l S NP 7529 3703 m 7534 3696 l S NP 7525 3709 m 7529 3703 l S NP 7520 3712 m 7525 3709 l S NP 7516 3713 m 7520 3712 l S NP 7511 3712 m 7516 3713 l S NP 7506 3708 m 7511 3712 l S NP 7502 3702 m 7506 3708 l S NP 7497 3696 m 7502 3702 l S NP 7493 3689 m 7497 3696 l S NP 7488 3679 m 7493 3689 l S NP 7484 3668 m 7488 3679 l S NP 7479 3656 m 7484 3668 l S NP 7474 3640 m 7479 3656 l S NP 7470 3623 m 7474 3640 l S NP 7465 3605 m 7470 3623 l S NP 7461 3585 m 7465 3605 l S NP 7456 3561 m 7461 3585 l S NP 7452 3535 m 7456 3561 l S NP 7447 3508 m 7452 3535 l S NP 7442 3480 m 7447 3508 l S NP 7438 3447 m 7442 3480 l S NP 7433 3412 m 7438 3447 l S NP 7429 3377 m 7433 3412 l S NP 7424 3342 m 7429 3377 l S NP 7419 3305 m 7424 3342 l S NP 7415 3265 m 7419 3305 l S NP 7410 3225 m 7415 3265 l S NP 7406 3183 m 7410 3225 l S NP 7401 3140 m 7406 3183 l S NP 7397 3093 m 7401 3140 l S NP 7392 3048 m 7397 3093 l S NP 7387 3003 m 7392 3048 l S NP 7383 2955 m 7387 3003 l S NP 7378 2905 m 7383 2955 l S NP 7374 2855 m 7378 2905 l S NP 7369 2804 m 7374 2855 l S NP 7365 2752 m 7369 2804 l S NP 7360 2698 m 7365 2752 l S NP 7355 2643 m 7360 2698 l S NP 7351 2591 m 7355 2643 l S NP 7346 2537 m 7351 2591 l S NP 7342 2483 m 7346 2537 l S NP 7337 2429 m 7342 2483 l S NP 7333 2373 m 7337 2429 l S NP 7328 2314 m 7333 2373 l S NP 7323 2254 m 7328 2314 l S NP 7319 2197 m 7323 2254 l S NP 7314 2143 m 7319 2197 l S NP 7310 2088 m 7314 2143 l S NP 7305 2033 m 7310 2088 l S NP 7300 1980 m 7305 2033 l S NP 7296 1929 m 7300 1980 l S NP 7291 1876 m 7296 1929 l S NP 7287 1827 m 7291 1876 l S NP 7282 1781 m 7287 1827 l S NP 7278 1733 m 7282 1781 l S NP 7273 1684 m 7278 1733 l S NP 7268 1636 m 7273 1684 l S NP 7264 1593 m 7268 1636 l S NP 7259 1548 m 7264 1593 l S NP 7255 1502 m 7259 1548 l S NP 7250 1458 m 7255 1502 l S NP 7246 1417 m 7250 1458 l S NP 7241 1376 m 7246 1417 l S NP 7236 1336 m 7241 1376 l S NP 7232 1300 m 7236 1336 l S NP 7227 1261 m 7232 1300 l S NP 7223 1224 m 7227 1261 l S NP 7218 1191 m 7223 1224 l S NP 7214 1160 m 7218 1191 l S NP 7209 1130 m 7214 1160 l S NP 7204 1103 m 7209 1130 l S NP 7200 1077 m 7204 1103 l S NP 7195 1055 m 7200 1077 l S NP 7191 1034 m 7195 1055 l S NP 7186 1016 m 7191 1034 l S NP 7181 999 m 7186 1016 l S NP 7177 986 m 7181 999 l S NP 7172 976 m 7177 986 l S NP 7168 970 m 7172 976 l S NP 7163 967 m 7168 970 l S NP 7159 963 m 7163 967 l S NP 7154 961 m 7159 963 l S NP 7149 960 m 7154 961 l S NP 7145 961 m 7149 960 l S NP 7140 962 m 7145 961 l S NP 7136 965 m 7140 962 l S NP 7131 972 m 7136 965 l S NP 7127 981 m 7131 972 l S NP 7122 994 m 7127 981 l S NP 7117 1009 m 7122 994 l S NP 7113 1024 m 7117 1009 l S NP 7108 1042 m 7113 1024 l S NP 7104 1060 m 7108 1042 l S NP 7099 1080 m 7104 1060 l S NP 7095 1102 m 7099 1080 l S NP 7090 1127 m 7095 1102 l S NP 7085 1152 m 7090 1127 l S NP 7081 1179 m 7085 1152 l S NP 7076 1208 m 7081 1179 l S NP 7072 1241 m 7076 1208 l S NP 7067 1275 m 7072 1241 l S NP 7062 1310 m 7067 1275 l S NP 7058 1346 m 7062 1310 l S NP 7053 1387 m 7058 1346 l S NP 7049 1430 m 7053 1387 l S NP 7044 1471 m 7049 1430 l S NP 7040 1513 m 7044 1471 l S NP 7035 1556 m 7040 1513 l S NP 7030 1599 m 7035 1556 l S NP 7026 1645 m 7030 1599 l S NP 7021 1693 m 7026 1645 l S NP 7017 1741 m 7021 1693 l S NP 7012 1793 m 7017 1741 l S NP 7008 1843 m 7012 1793 l S NP 7003 1893 m 7008 1843 l S NP 6998 1944 m 7003 1893 l S NP 6994 1996 m 6998 1944 l S NP 6989 2049 m 6994 1996 l S NP 6985 2102 m 6989 2049 l S NP 6980 2158 m 6985 2102 l S NP 6976 2215 m 6980 2158 l S NP 6971 2272 m 6976 2215 l S NP 6966 2331 m 6971 2272 l S NP 6962 2390 m 6966 2331 l S NP 6957 2447 m 6962 2390 l S NP 6953 2505 m 6957 2447 l S NP 6948 2564 m 6953 2505 l S NP 6943 2620 m 6948 2564 l S NP 6939 2675 m 6943 2620 l S NP 6934 2729 m 6939 2675 l S NP 6930 2782 m 6934 2729 l S NP 6925 2837 m 6930 2782 l S NP 6921 2890 m 6925 2837 l S NP 6916 2943 m 6921 2890 l S NP 6911 2994 m 6916 2943 l S NP 6907 3043 m 6911 2994 l S NP 6902 3088 m 6907 3043 l S NP 6898 3132 m 6902 3088 l S NP 6893 3175 m 6898 3132 l S NP 6889 3220 m 6893 3175 l S NP 6884 3263 m 6889 3220 l S NP 6879 3307 m 6884 3263 l S NP 6875 3348 m 6879 3307 l S NP 6870 3385 m 6875 3348 l S NP 6866 3421 m 6870 3385 l S NP 6861 3456 m 6866 3421 l S NP 6857 3487 m 6861 3456 l S NP 6852 3516 m 6857 3487 l S NP 6847 3543 m 6852 3516 l S NP 6843 3570 m 6847 3543 l S NP 6838 3593 m 6843 3570 l S NP 6834 3614 m 6838 3593 l S NP 6829 3636 m 6834 3614 l S NP 6824 3655 m 6829 3636 l S NP 6820 3672 m 6824 3655 l S NP 6815 3685 m 6820 3672 l S NP 6811 3697 m 6815 3685 l S NP 6806 3708 m 6811 3697 l S NP 6802 3716 m 6806 3708 l S NP 6797 3723 m 6802 3716 l S NP 6792 3729 m 6797 3723 l S NP 6788 3728 m 6792 3729 l S NP 6783 3728 m 6788 3728 l S NP 6779 3729 m 6783 3728 l S NP 6774 3728 m 6779 3729 l S NP 6770 3724 m 6774 3728 l S NP 6765 3719 m 6770 3724 l S NP 6760 3711 m 6765 3719 l S NP 6756 3700 m 6760 3711 l S NP 6751 3689 m 6756 3700 l S NP 6747 3675 m 6751 3689 l S NP 6742 3661 m 6747 3675 l S NP 6738 3644 m 6742 3661 l S NP 6733 3627 m 6738 3644 l S NP 6728 3607 m 6733 3627 l S NP 6724 3583 m 6728 3607 l S NP 6719 3557 m 6724 3583 l S NP 6715 3528 m 6719 3557 l S NP 6710 3499 m 6715 3528 l S NP 6705 3467 m 6710 3499 l S NP 6701 3436 m 6705 3467 l S NP 6696 3406 m 6701 3436 l S NP 6692 3373 m 6696 3406 l S NP 6687 3339 m 6692 3373 l S NP 6683 3303 m 6687 3339 l S NP 6678 3269 m 6683 3303 l S NP 6673 3233 m 6678 3269 l S NP 6669 3195 m 6673 3233 l S NP 6664 3152 m 6669 3195 l S NP 6660 3108 m 6664 3152 l S NP 6655 3061 m 6660 3108 l S NP 6651 3011 m 6655 3061 l S NP 6646 2961 m 6651 3011 l S NP 6641 2912 m 6646 2961 l S NP 6637 2862 m 6641 2912 l S NP 6632 2808 m 6637 2862 l S NP 6628 2755 m 6632 2808 l S NP 6623 2701 m 6628 2755 l S NP 6619 2645 m 6623 2701 l S NP 6614 2590 m 6619 2645 l S NP 6609 2532 m 6614 2590 l S NP 6605 2478 m 6609 2532 l S NP 6600 2426 m 6605 2478 l S NP 6596 2373 m 6600 2426 l S NP 6591 2314 m 6596 2373 l S NP 6586 2257 m 6591 2314 l S NP 6582 2202 m 6586 2257 l S NP 6577 2147 m 6582 2202 l S NP 6573 2091 m 6577 2147 l S NP 6568 2035 m 6573 2091 l S NP 6564 1982 m 6568 2035 l S NP 6559 1926 m 6564 1982 l S NP 6554 1871 m 6559 1926 l S NP 6550 1819 m 6554 1871 l S NP 6545 1769 m 6550 1819 l S NP 6541 1720 m 6545 1769 l S NP 6536 1673 m 6541 1720 l S NP 6532 1626 m 6536 1673 l S NP 6527 1581 m 6532 1626 l S NP 6522 1537 m 6527 1581 l S NP 6518 1494 m 6522 1537 l S NP 6513 1449 m 6518 1494 l S NP 6509 1407 m 6513 1449 l S NP 6504 1367 m 6509 1407 l S NP 6500 1329 m 6504 1367 l S NP 6495 1293 m 6500 1329 l S NP 6490 1261 m 6495 1293 l S NP 6486 1230 m 6490 1261 l S NP 6481 1198 m 6486 1230 l S NP 6477 1171 m 6481 1198 l S NP 6472 1144 m 6477 1171 l S NP 6467 1117 m 6472 1144 l S NP 6463 1091 m 6467 1117 l S NP 6458 1069 m 6463 1091 l S NP 6454 1050 m 6458 1069 l S NP 6449 1033 m 6454 1050 l S NP 6445 1016 m 6449 1033 l S NP 6440 1001 m 6445 1016 l S NP 6435 988 m 6440 1001 l S NP 6431 977 m 6435 988 l S NP 6426 967 m 6431 977 l S NP 6422 958 m 6426 967 l S NP 6417 952 m 6422 958 l S NP 6413 947 m 6417 952 l S NP 6408 946 m 6413 947 l S NP 6403 948 m 6408 946 l S NP 6399 953 m 6403 948 l S NP 6394 958 m 6399 953 l S NP 6390 965 m 6394 958 l S NP 6385 975 m 6390 965 l S NP 6381 989 m 6385 975 l S NP 6376 1004 m 6381 989 l S NP 6371 1019 m 6376 1004 l S NP 6367 1037 m 6371 1019 l S NP 6362 1058 m 6367 1037 l S NP 6358 1079 m 6362 1058 l S NP 6353 1103 m 6358 1079 l S NP 6348 1131 m 6353 1103 l S NP 6344 1161 m 6348 1131 l S NP 6339 1192 m 6344 1161 l S NP 6335 1225 m 6339 1192 l S NP 6330 1259 m 6335 1225 l S NP 6326 1295 m 6330 1259 l S NP 6321 1332 m 6326 1295 l S NP 5172 3313 m 5177 3258 l S NP 5168 3365 m 5172 3313 l S NP 5163 3417 m 5168 3365 l S NP 5158 3468 m 5163 3417 l S NP 5154 3516 m 5158 3468 l S NP 5149 3561 m 5154 3516 l S NP 5145 3604 m 5149 3561 l S NP 5140 3645 m 5145 3604 l S NP 5136 3685 m 5140 3645 l S NP 5131 3724 m 5136 3685 l S NP 5126 3759 m 5131 3724 l S NP 5122 3790 m 5126 3759 l S NP 5117 3822 m 5122 3790 l S NP 5113 3851 m 5117 3822 l S NP 5108 3880 m 5113 3851 l S NP 5104 3907 m 5108 3880 l S NP 5099 3929 m 5104 3907 l S NP 5094 3951 m 5099 3929 l S NP 5090 3969 m 5094 3951 l S NP 5085 3987 m 5090 3969 l S NP 5081 4001 m 5085 3987 l S NP 5076 4013 m 5081 4001 l S NP 5071 4021 m 5076 4013 l S NP 5067 4028 m 5071 4021 l S NP 5062 4032 m 5067 4028 l S NP 5058 4033 m 5062 4032 l S NP 5053 4032 m 5058 4033 l S NP 5049 4030 m 5053 4032 l S NP 5044 4025 m 5049 4030 l S NP 5039 4019 m 5044 4025 l S NP 5035 4013 m 5039 4019 l S NP 5030 4006 m 5035 4013 l S NP 5026 3996 m 5030 4006 l S NP 5021 3983 m 5026 3996 l S NP 5017 3967 m 5021 3983 l S NP 5012 3946 m 5017 3967 l S NP 5007 3924 m 5012 3946 l S NP 5003 3901 m 5007 3924 l S NP 4998 3874 m 5003 3901 l S NP 4994 3847 m 4998 3874 l S NP 4989 3815 m 4994 3847 l S NP 4985 3783 m 4989 3815 l S NP 4980 3748 m 4985 3783 l S NP 4975 3711 m 4980 3748 l S NP 4971 3670 m 4975 3711 l S NP 4966 3627 m 4971 3670 l S NP 4962 3582 m 4966 3627 l S NP 4957 3530 m 4962 3582 l S NP 4952 3478 m 4957 3530 l S NP 4948 3423 m 4952 3478 l S NP 4943 3370 m 4948 3423 l S NP 4939 3317 m 4943 3370 l S NP 4934 3262 m 4939 3317 l S NP 4930 3202 m 4934 3262 l S NP 4925 3142 m 4930 3202 l S NP 4920 3078 m 4925 3142 l S NP 4916 3014 m 4920 3078 l S NP 4911 2949 m 4916 3014 l S NP 4907 2885 m 4911 2949 l S NP 4902 2821 m 4907 2885 l S NP 4898 2756 m 4902 2821 l S NP 4893 2691 m 4898 2756 l S NP 4888 2626 m 4893 2691 l S NP 4884 2562 m 4888 2626 l S NP 4879 2496 m 4884 2562 l S NP 4875 2430 m 4879 2496 l S NP 4870 2361 m 4875 2430 l S NP 4866 2293 m 4870 2361 l S NP 4861 2225 m 4866 2293 l S NP 4856 2161 m 4861 2225 l S NP 4852 2095 m 4856 2161 l S NP 4847 2031 m 4852 2095 l S NP 4843 1967 m 4847 2031 l S NP 4838 1905 m 4843 1967 l S NP 4833 1842 m 4838 1905 l S NP 4829 1779 m 4833 1842 l S NP 4824 1717 m 4829 1779 l S NP 4820 1657 m 4824 1717 l S NP 4815 1597 m 4820 1657 l S NP 4811 1537 m 4815 1597 l S NP 4806 1476 m 4811 1537 l S NP 4801 1418 m 4806 1476 l S NP 4797 1362 m 4801 1418 l S NP 4792 1310 m 4797 1362 l S NP 4788 1259 m 4792 1310 l S NP 4783 1208 m 4788 1259 l S NP 4779 1162 m 4783 1208 l S NP 4774 1118 m 4779 1162 l S NP 4769 1073 m 4774 1118 l S NP 4765 1028 m 4769 1073 l S NP 4760 986 m 4765 1028 l S NP 4756 944 m 4760 986 l S NP 4751 903 m 4756 944 l S NP 4747 865 m 4751 903 l S NP 4742 829 m 4747 865 l S NP 4737 795 m 4742 829 l S NP 4733 767 m 4737 795 l S NP 4728 739 m 4733 767 l S NP 4724 715 m 4728 739 l S NP 4719 693 m 4724 715 l S NP 4714 674 m 4719 693 l S NP 4710 656 m 4714 674 l S NP 4705 642 m 4710 656 l S NP 4701 630 m 4705 642 l S NP 4696 620 m 4701 630 l S NP 4692 614 m 4696 620 l S NP 4687 611 m 4692 614 l S NP 4682 610 m 4687 611 l S NP 4678 613 m 4682 610 l S NP 4673 620 m 4678 613 l S NP 4669 633 m 4673 620 l S NP 4664 647 m 4669 633 l S NP 4660 664 m 4664 647 l S NP 4655 683 m 4660 664 l S NP 4650 703 m 4655 683 l S NP 4646 724 m 4650 703 l S NP 4641 746 m 4646 724 l S NP 4637 769 m 4641 746 l S NP 4632 793 m 4637 769 l S NP 4628 817 m 4632 793 l S NP 4623 843 m 4628 817 l S NP 4618 873 m 4623 843 l S NP 4614 908 m 4618 873 l S NP 4609 946 m 4614 908 l S NP 4605 984 m 4609 946 l S NP 4600 1023 m 4605 984 l S NP 4595 1062 m 4600 1023 l S NP 4591 1104 m 4595 1062 l S NP 4586 1147 m 4591 1104 l S NP 4582 1192 m 4586 1147 l S NP 4577 1238 m 4582 1192 l S NP 4573 1290 m 4577 1238 l S NP 4568 1347 m 4573 1290 l S NP 4563 1406 m 4568 1347 l S NP 4559 1464 m 4563 1406 l S NP 4554 1524 m 4559 1464 l S NP 4550 1585 m 4554 1524 l S NP 4545 1650 m 4550 1585 l S NP 4541 1714 m 4545 1650 l S NP 4536 1778 m 4541 1714 l S NP 4531 1843 m 4536 1778 l S NP 4527 1910 m 4531 1843 l S NP 4522 1978 m 4527 1910 l S NP 4518 2044 m 4522 1978 l S NP 4513 2111 m 4518 2044 l S NP 4509 2180 m 4513 2111 l S NP 4504 2248 m 4509 2180 l S NP 4499 2318 m 4504 2248 l S NP 4495 2388 m 4499 2318 l S NP 4490 2457 m 4495 2388 l S NP 4486 2525 m 4490 2457 l S NP 4481 2593 m 4486 2525 l S NP 4476 2659 m 4481 2593 l S NP 4472 2727 m 4476 2659 l S NP 4467 2793 m 4472 2727 l S NP 4463 2859 m 4467 2793 l S NP 4458 2925 m 4463 2859 l S NP 4454 2988 m 4458 2925 l S NP 4449 3050 m 4454 2988 l S NP 4444 3110 m 4449 3050 l S NP 4440 3171 m 4444 3110 l S NP 4435 3229 m 4440 3171 l S NP 4431 3288 m 4435 3229 l S NP 4426 3347 m 4431 3288 l S NP 4422 3403 m 4426 3347 l S NP 4417 3456 m 4422 3403 l S NP 4412 3506 m 4417 3456 l S NP 4408 3554 m 4412 3506 l S NP 4403 3600 m 4408 3554 l S NP 4399 3642 m 4403 3600 l S NP 4394 3682 m 4399 3642 l S NP 4390 3721 m 4394 3682 l S NP 4385 3758 m 4390 3721 l S NP 4380 3792 m 4385 3758 l S NP 4376 3822 m 4380 3792 l S NP 4371 3849 m 4376 3822 l S NP 4367 3879 m 4371 3849 l S NP 4362 3904 m 4367 3879 l S NP 4357 3927 m 4362 3904 l S NP 4353 3948 m 4357 3927 l S NP 4348 3965 m 4353 3948 l S NP 4344 3981 m 4348 3965 l S NP 4339 3995 m 4344 3981 l S NP 4335 4006 m 4339 3995 l S NP 4330 4015 m 4335 4006 l S NP 4325 4025 m 4330 4015 l S NP 4321 4035 m 4325 4025 l S NP 4316 4040 m 4321 4035 l S NP 4312 4042 m 4316 4040 l S NP 4307 4041 m 4312 4042 l S NP 4303 4037 m 4307 4041 l S NP 4298 4032 m 4303 4037 l S NP 4293 4025 m 4298 4032 l S NP 4289 4016 m 4293 4025 l S NP 4284 4004 m 4289 4016 l S NP 4280 3991 m 4284 4004 l S NP 4275 3977 m 4280 3991 l S NP 4271 3962 m 4275 3977 l S NP 4266 3945 m 4271 3962 l S NP 4261 3926 m 4266 3945 l S NP 4257 3902 m 4261 3926 l S NP 4252 3877 m 4257 3902 l S NP 4248 3850 m 4252 3877 l S NP 4243 3820 m 4248 3850 l S NP 4238 3790 m 4243 3820 l S NP 4234 3755 m 4238 3790 l S NP 4229 3717 m 4234 3755 l S NP 4225 3676 m 4229 3717 l S NP 4220 3632 m 4225 3676 l S NP 4216 3588 m 4220 3632 l S NP 4211 3542 m 4216 3588 l S NP 4206 3492 m 4211 3542 l S NP 4202 3442 m 4206 3492 l S NP 4197 3386 m 4202 3442 l S NP 4193 3329 m 4197 3386 l S NP 4188 3268 m 4193 3329 l S NP 4184 3206 m 4188 3268 l S NP 4179 3143 m 4184 3206 l S NP 4174 3083 m 4179 3143 l S NP 4170 3019 m 4174 3083 l S NP 4165 2956 m 4170 3019 l S NP 4161 2891 m 4165 2956 l S NP 4156 2827 m 4161 2891 l S NP 4152 2763 m 4156 2827 l S NP 4147 2700 m 4152 2763 l S NP 4142 2633 m 4147 2700 l S NP 4138 2567 m 4142 2633 l S NP 4133 2502 m 4138 2567 l S NP 4129 2438 m 4133 2502 l S NP 4124 2373 m 4129 2438 l S NP 4119 2309 m 4124 2373 l S NP 4115 2244 m 4119 2309 l S NP 4110 2178 m 4115 2244 l S NP 4106 2111 m 4110 2178 l S NP 4101 2044 m 4106 2111 l S NP 4097 1977 m 4101 2044 l S NP 4092 1910 m 4097 1977 l S NP 4087 1848 m 4092 1910 l S NP 4083 1784 m 4087 1848 l S NP 4078 1724 m 4083 1784 l S NP 4074 1661 m 4078 1724 l S NP 4069 1598 m 4074 1661 l S NP 4065 1537 m 4069 1598 l S NP 4060 1476 m 4065 1537 l S NP 4055 1417 m 4060 1476 l S NP 4051 1360 m 4055 1417 l S NP 4046 1303 m 4051 1360 l S NP 4042 1250 m 4046 1303 l S NP 4037 1198 m 4042 1250 l S NP 4033 1145 m 4037 1198 l S NP 4028 1096 m 4033 1145 l S NP 4023 1051 m 4028 1096 l S NP 4019 1010 m 4023 1051 l S NP 4014 971 m 4019 1010 l S NP 4010 930 m 4014 971 l S NP 4005 888 m 4010 930 l S NP 4000 851 m 4005 888 l S NP 3996 819 m 4000 851 l S NP 3991 787 m 3996 819 l S NP 3987 755 m 3991 787 l S NP 3982 725 m 3987 755 l S NP 3978 699 m 3982 725 l S NP 3973 673 m 3978 699 l S NP 3968 651 m 3973 673 l S NP 3964 635 m 3968 651 l S NP 3959 620 m 3964 635 l S NP 3955 605 m 3959 620 l S NP 3950 589 m 3955 605 l S NP 3946 581 m 3950 589 l S NP 3941 577 m 3946 581 l S NP 3936 580 m 3941 577 l S NP 3932 582 m 3936 580 l S NP 3927 586 m 3932 582 l S NP 3923 593 m 3927 586 l S NP 3918 601 m 3923 593 l S NP 3914 615 m 3918 601 l S NP 3909 632 m 3914 615 l S NP 3904 652 m 3909 632 l S NP 3900 673 m 3904 652 l S NP 3895 696 m 3900 673 l S NP 3891 722 m 3895 696 l S NP 3886 747 m 3891 722 l S NP 3881 773 m 3886 747 l S NP 3877 800 m 3881 773 l S NP 3872 829 m 3877 800 l S NP 3868 862 m 3872 829 l S NP 3863 898 m 3868 862 l S NP 3859 934 m 3863 898 l S NP 3854 972 m 3859 934 l S NP 3849 1015 m 3854 972 l S NP 3845 1060 m 3849 1015 l S NP 3840 1105 m 3845 1060 l S NP 3836 1150 m 3840 1105 l S NP 3831 1202 m 3836 1150 l S NP 3827 1254 m 3831 1202 l S NP 3822 1307 m 3827 1254 l S NP 3817 1363 m 3822 1307 l S NP 3813 1420 m 3817 1363 l S NP 3808 1480 m 3813 1420 l S NP 3804 1542 m 3808 1480 l S NP 3799 1606 m 3804 1542 l S NP 3795 1671 m 3799 1606 l S NP 3790 1737 m 3795 1671 l S NP 3785 1801 m 3790 1737 l S NP 3781 1870 m 3785 1801 l S NP 3776 1940 m 3781 1870 l S NP 3772 2012 m 3776 1940 l S NP 3767 2085 m 3772 2012 l S NP 3762 2156 m 3767 2085 l S NP 3758 2229 m 3762 2156 l S NP 3753 2302 m 3758 2229 l S NP 3749 2377 m 3753 2302 l S NP 3744 2452 m 3749 2377 l S NP 3740 2526 m 3744 2452 l S NP 3735 2598 m 3740 2526 l S NP 3730 2670 m 3735 2598 l S NP 3726 2740 m 3730 2670 l S NP 3721 2808 m 3726 2740 l S NP 3717 2877 m 3721 2808 l S NP 3712 2943 m 3717 2877 l S NP 3708 3008 m 3712 2943 l S NP 3703 3073 m 3708 3008 l S NP 3698 3137 m 3703 3073 l S NP 3694 3199 m 3698 3137 l S NP 3689 3260 m 3694 3199 l S NP 3685 3320 m 3689 3260 l S NP 3680 3379 m 3685 3320 l S NP 3675 3435 m 3680 3379 l S NP 3671 3489 m 3675 3435 l S NP 3666 3542 m 3671 3489 l S NP 3662 3592 m 3666 3542 l S NP 3657 3641 m 3662 3592 l S NP 3653 3690 m 3657 3641 l S NP 3648 3737 m 3653 3690 l S NP 3643 3777 m 3648 3737 l S NP 3639 3815 m 3643 3777 l S NP 3634 3850 m 3639 3815 l S NP 3630 3881 m 3634 3850 l S NP 3625 3910 m 3630 3881 l S NP 3621 3936 m 3625 3910 l S NP 3616 3956 m 3621 3936 l S NP 3611 3973 m 3616 3956 l S NP 3607 3989 m 3611 3973 l S NP 3602 4003 m 3607 3989 l S NP 3598 4016 m 3602 4003 l S NP 3593 4030 m 3598 4016 l S NP 3589 4041 m 3593 4030 l S NP 3584 4049 m 3589 4041 l S NP 3579 4056 m 3584 4049 l S NP 3575 4061 m 3579 4056 l S NP 3570 4063 m 3575 4061 l S NP 3566 4064 m 3570 4063 l S NP 3561 4063 m 3566 4064 l S NP 3556 4061 m 3561 4063 l S NP 3552 4059 m 3556 4061 l S NP 3547 4056 m 3552 4059 l S NP 3543 4048 m 3547 4056 l S NP 3538 4038 m 3543 4048 l S NP 3534 4026 m 3538 4038 l S NP 3529 4013 m 3534 4026 l S NP 3524 3995 m 3529 4013 l S NP 3520 3974 m 3524 3995 l S NP 3515 3951 m 3520 3974 l S NP 3511 3925 m 3515 3951 l S NP 3506 3893 m 3511 3925 l S NP 3502 3860 m 3506 3893 l S NP 3497 3823 m 3502 3860 l S NP 3492 3787 m 3497 3823 l S NP 3488 3752 m 3492 3787 l S NP 3483 3713 m 3488 3752 l S NP 3479 3670 m 3483 3713 l S NP 3474 3624 m 3479 3670 l S NP 3470 3577 m 3474 3624 l S NP 3465 3526 m 3470 3577 l S NP 3460 3472 m 3465 3526 l S NP 3456 3415 m 3460 3472 l S NP 3451 3357 m 3456 3415 l S NP 3447 3296 m 3451 3357 l S NP 3442 3236 m 3447 3296 l S NP 3437 3175 m 3442 3236 l S NP 3433 3113 m 3437 3175 l S NP 3428 3051 m 3433 3113 l S NP 3424 2988 m 3428 3051 l S NP 3419 2923 m 3424 2988 l S NP 3415 2856 m 3419 2923 l S NP 3410 2790 m 3415 2856 l S NP 3405 2725 m 3410 2790 l S NP 3401 2658 m 3405 2725 l S NP 3396 2590 m 3401 2658 l S NP 3392 2523 m 3396 2590 l S NP 3387 2456 m 3392 2523 l S NP 3383 2386 m 3387 2456 l S NP 3378 2318 m 3383 2386 l S NP 3373 2250 m 3378 2318 l S NP 3369 2182 m 3373 2250 l S NP 3364 2114 m 3369 2182 l S NP 3360 2047 m 3364 2114 l S NP 3355 1980 m 3360 2047 l S NP 3351 1913 m 3355 1980 l S NP 3346 1846 m 3351 1913 l S NP 3341 1780 m 3346 1846 l S NP 3337 1713 m 3341 1780 l S NP 3332 1651 m 3337 1713 l S NP 3328 1592 m 3332 1651 l S NP 3323 1535 m 3328 1592 l S NP 3318 1478 m 3323 1535 l S NP 3314 1422 m 3318 1478 l S NP 3309 1368 m 3314 1422 l S NP 3305 1315 m 3309 1368 l S NP 3300 1263 m 3305 1315 l S NP 3296 1216 m 3300 1263 l S NP 3291 1172 m 3296 1216 l S NP 3286 1131 m 3291 1172 l S NP 3282 1089 m 3286 1131 l S NP 3277 1048 m 3282 1089 l S NP 3273 1007 m 3277 1048 l S NP 3268 966 m 3273 1007 l S NP 3264 924 m 3268 966 l S NP 3259 885 m 3264 924 l S NP 3254 846 m 3259 885 l S NP 3250 809 m 3254 846 l S NP 3245 777 m 3250 809 l S NP 3241 747 m 3245 777 l S NP 3236 718 m 3241 747 l S NP 3232 694 m 3236 718 l S NP 3227 673 m 3232 694 l S NP 3222 652 m 3227 673 l S NP 3218 632 m 3222 652 l S NP 3213 616 m 3218 632 l S NP 3209 602 m 3213 616 l S NP 3204 593 m 3209 602 l S NP 3199 585 m 3204 593 l S NP 3195 579 m 3199 585 l S NP 3190 576 m 3195 579 l S NP 3186 578 m 3190 576 l S NP 3181 580 m 3186 578 l S NP 3177 585 m 3181 580 l S NP 3172 593 m 3177 585 l S NP 3167 604 m 3172 593 l S NP 3163 620 m 3167 604 l S NP 3158 642 m 3163 620 l S NP 3154 664 m 3158 642 l S NP 3149 689 m 3154 664 l S NP 3145 714 m 3149 689 l S NP 3140 741 m 3145 714 l S NP 3135 772 m 3140 741 l S NP 3131 802 m 3135 772 l S NP 3126 832 m 3131 802 l S NP 3122 866 m 3126 832 l S NP 3117 903 m 3122 866 l S NP 3113 943 m 3117 903 l S NP 3108 983 m 3113 943 l S NP 3103 1026 m 3108 983 l S NP 3099 1072 m 3103 1026 l S NP 3094 1117 m 3099 1072 l S NP 3090 1167 m 3094 1117 l S NP 3085 1221 m 3090 1167 l S NP 3080 1276 m 3085 1221 l S NP 3076 1331 m 3080 1276 l S NP 3071 1388 m 3076 1331 l S NP 3067 1446 m 3071 1388 l S NP 3062 1503 m 3067 1446 l S NP 3058 1562 m 3062 1503 l S NP 3053 1622 m 3058 1562 l S NP 3048 1685 m 3053 1622 l S NP 3044 1751 m 3048 1685 l S NP 3039 1817 m 3044 1751 l S NP 3035 1883 m 3039 1817 l S NP 3030 1949 m 3035 1883 l S NP 3026 2018 m 3030 1949 l S NP 3021 2087 m 3026 2018 l S NP 3016 2156 m 3021 2087 l S NP 3012 2221 m 3016 2156 l S NP 3007 2290 m 3012 2221 l S NP 3003 2357 m 3007 2290 l S NP 2998 2425 m 3003 2357 l S NP 2994 2493 m 2998 2425 l S NP 2989 2560 m 2994 2493 l S NP 2984 2627 m 2989 2560 l S NP 2980 2697 m 2984 2627 l S NP 2975 2769 m 2980 2697 l S NP 2971 2840 m 2975 2769 l S NP 2966 2908 m 2971 2840 l S NP 2961 2976 m 2966 2908 l S NP 2957 3046 m 2961 2976 l S NP 2952 3115 m 2957 3046 l S NP 2948 3181 m 2952 3115 l S NP 2943 3244 m 2948 3181 l S NP 2939 3307 m 2943 3244 l S NP 2934 3369 m 2939 3307 l S NP 2929 3427 m 2934 3369 l S NP 2925 3486 m 2929 3427 l S NP 2920 3543 m 2925 3486 l S NP 2916 3595 m 2920 3543 l S NP 2911 3649 m 2916 3595 l S NP 2907 3697 m 2911 3649 l S NP 2902 3741 m 2907 3697 l S NP 2897 3782 m 2902 3741 l S NP 2893 3822 m 2897 3782 l S NP 2888 3858 m 2893 3822 l userFont2 % bug patch -- we have a problem S (t) dup 0 stringbbox 2 idiv 717 exch sub exch 2 idiv 15475 exch sub exch m show userFont1 % bug patch -- we have a problem (Y) dup 0 stringbbox 2 idiv 4421 exch sub exch 2 idiv 2019 exch sub exch m show medium setlinewidth NP 1750 499 m 1750 4500 l S thin setlinewidth NP 1701 600 m 1750 600 l S NP 1701 756 m 1750 756 l S NP 1652 912 m 1750 912 l S NP 1701 1068 m 1750 1068 l S NP 1701 1224 m 1750 1224 l S NP 1701 1380 m 1750 1380 l S NP 1701 1536 m 1750 1536 l S NP 1652 1692 m 1750 1692 l S NP 1701 1848 m 1750 1848 l S NP 1701 2004 m 1750 2004 l S NP 1701 2160 m 1750 2160 l S NP 1701 2316 m 1750 2316 l S NP 1652 2472 m 1750 2472 l S NP 1701 2628 m 1750 2628 l S NP 1701 2784 m 1750 2784 l S NP 1701 2940 m 1750 2940 l S NP 1701 3095 m 1750 3095 l S NP 1652 3251 m 1750 3251 l S NP 1701 3407 m 1750 3407 l S NP 1701 3563 m 1750 3563 l S NP 1701 3719 m 1750 3719 l S NP 1701 3875 m 1750 3875 l S NP 1652 4031 m 1750 4031 l S NP 1701 4187 m 1750 4187 l S NP 1701 4343 m 1750 4343 l S NP 1701 4499 m 1750 4499 l S medium setlinewidth NP 1750 499 m 15750 499 l S thin setlinewidth NP 2888 426 m 2888 499 l S NP 5177 426 m 5177 499 l S NP 6321 426 m 6321 499 l S NP 8609 426 m 8609 499 l S NP 9754 426 m 9754 499 l S NP 12042 426 m 12042 499 l S NP 13186 426 m 13186 499 l S NP 15475 426 m 15475 500 l defaultFont S medium setlinewidth (0.46) dup 0 stringbbox 2 idiv 912 exch sub exch 1610 exch sub exch m show (0.48) dup 0 stringbbox 2 idiv 1692 exch sub exch 1610 exch sub exch m show (0.5) dup 0 stringbbox 2 idiv 2472 exch sub exch 1610 exch sub exch m show (0.52) dup 0 stringbbox 2 idiv 3251 exch sub exch 1610 exch sub exch m show (0.54) dup 0 stringbbox 2 idiv 4031 exch sub exch 1610 exch sub exch m show (30) dup 0 stringbbox 395 exch sub exch 2 idiv 2888 exch sub exch m show (35) dup 0 stringbbox 395 exch sub exch 2 idiv 5177 exch sub exch m show (100) dup 0 stringbbox 395 exch sub exch 2 idiv 6321 exch sub exch m show (105) dup 0 stringbbox 395 exch sub exch 2 idiv 8609 exch sub exch m show (250) dup 0 stringbbox 395 exch sub exch 2 idiv 9754 exch sub exch m show (255) dup 0 stringbbox 395 exch sub exch 2 idiv 12042 exch sub exch m show (900) dup 0 stringbbox 395 exch sub exch 2 idiv 13186 exch sub exch m show (905) dup 0 stringbbox 395 exch sub exch 2 idiv 15475 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 17500 bd sub 5000 bd sub l 17500 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 2000 22413 a Fm(Figure)525 b(3:)762 b(The)526 b(piston)f(co)36 b(ordinate)525 b Fj(Y)814 b Fm(during)525 b(the)g(in)-36 b(terv)-72 b(als)525 b(\(30)p Fj(;)221 b Fm(35\),)551 b(\(100)p Fj(;)221 b Fm(105\),)550 b(\(250)p Fj(;)221 b Fm(255\),)2000 25623 y(and)433 b(\(900)p Fj(;)221 b Fm(905\).)581 b(The)433 b(same)h(run)f(as)h(in)f(Fig.)h(1)g(and)f(2.) 2000 29497 y(in)-36 b(terv)-72 b(al)434 b(30)369 b Fj(<)g(\034)517 b(<)369 b Fm(1000)435 b(is)11077 34036 y Fj(W)12305 34235 y Fs(1)12831 34036 y Fm(\()p Fj(\034)148 b Fm(\))1107 b Fi(')g(\000)p Fj(\025Y)20350 34235 y Fs(1)21171 34036 y Fm(+)294 b Fj(Ae)24055 33488 y Ff(\000)p Fo(\025)p Fs(\()p Fo(\034)102 b Ff(\000)p Fs(20\))28316 34036 y Fj(!)269 b Fm(cos)221 b Fj(!)48 b Fm(\()p Fj(\034)443 b Fi(\000)296 b Fj(\013)8 b Fm(\))15674 37578 y(=)1117 b Fj(Ae)19381 37030 y Ff(\000)p Fo(\025)p Fs(\()p Fo(\034)102 b Ff(\000)p Fs(20\))23641 37578 y Fm([)p Fi(\000)p Fj(\025)221 b Fm(sin)h Fj(!)48 b Fm(\()p Fj(\034)443 b Fi(\000)295 b Fj(\013)8 b Fm(\))296 b(+)f Fj(!)269 b Fm(cos)222 b Fj(!)48 b Fm(\()p Fj(\034)442 b Fi(\000)296 b Fj(\013)8 b Fm(\)])15674 41121 y(=)1117 b Fj(A)18778 41320 y Fs(1)19304 41121 y Fj(e)19907 40572 y Ff(\000)p Fo(\025)p Fs(\()p Fo(\034)102 b Ff(\000)p Fs(20\))24389 41121 y Fm(sin)221 b Fj(!)48 b Fm(\()p Fj(\034)443 b Fi(\000)295 b Fj(\014)74 b Fm(\))18105 b(\(3.3\))2000 45659 y(with)434 b Fj(A)5938 45858 y Fs(1)6832 45659 y Fm(=)369 b Fj(A)9188 44567 y Fi(p)p 10295 44567 4270 54 v 1092 x Fj(!)11153 45275 y Fs(2)11974 45659 y Fm(+)294 b Fj(\025)14039 45275 y Fs(2)14999 45659 y Fm(and)433 b(some)g Fj(\014)508 b Fm(related)434 b(to)f Fj(\013)8 b Fm(.)3951 48869 y(T)-108 b(o)347 b(c)-36 b(hec)g(k)346 b(ho)-36 b(w)347 b(w)-36 b(ell)347 b(our)f(form)-36 b(ula)347 b(\(3.2\))g(agrees)g(with)g(the)e (data,)365 b(w)-36 b(e)346 b(computed)g(the)g(amplitude)2000 52079 y Fj(A)p Fm(\()p Fj(\034)148 b Fm(\))436 b(as)h(a)g(function)f (of)h(time)g Fj(\034)148 b Fm(,)438 b(b)-36 b(y)436 b(\014tting)g(a)h (sine)f(function)g Fj(Y)34146 52278 y Fs(0)34672 52079 y Fm(\()p Fj(\034)148 b Fm(\))373 b(=)h Fj(A)221 b Fm(sin)h Fj(!)48 b Fm(\()p Fj(\034)444 b Fi(\000)298 b Fj(\013)8 b Fm(\))437 b(\\lo)36 b(cally",)2000 55290 y(on)548 b(the)g(in)-36 b(terv)-72 b(al)549 b(\()p Fj(\034)521 b Fi(\000)373 b Fm(5)p Fj(;)221 b(\034)523 b Fm(+)373 b(5\))548 b(for)h(eac)-36 b(h)548 b Fj(\034)148 b Fm(.)923 b(Fig.)549 b(4)g(sho)-36 b(ws)548 b Fj(A)p Fm(\()p Fj(\034)148 b Fm(\))549 b(on)f(the)g (logarithmic)h(scale,)2000 58500 y(whic)-36 b(h)404 b(lo)36 b(oks)407 b(almost)e(linear)g(on)g(the)f(in)-36 b(terv)-72 b(al)405 b(30)370 b Fj(<)e(\034)517 b(<)369 b Fm(800.)570 b(\(After)404 b(that,)411 b Fj(Y)288 b Fm(\()p Fj(\034)148 b Fm(\))405 b(b)36 b(ecomes)405 b(quite)2000 61710 y(unstable,)595 b(with)563 b(already)h(small)g(amplitude)e Fj(A)p Fm(\()p Fj(\034)148 b Fm(\))563 b(decreasing)g(abruptly)-108 b(,)595 b(p)36 b(ossibly)563 b(due)f(to)i(the)2000 64920 y(in)-36 b(terference)433 b(from)h(random)f(\015uctuations,)g(so)h(w) -36 b(e)434 b(left)g(that)f(part)g(out.\))3951 68130 y(W)-108 b(e)411 b(used)f(the)h(least)g(squares)g(\014t)g(to)g (estimate)g Fj(\025)369 b Fm(=)f(0)p Fj(:)p Fm(00264)413 b(for)f(the)e(run)g(sho)-36 b(wn)411 b(on)g(Figs.)g(1-4.)2000 71341 y(Since)351 b Fj(\025)g Fm(is)h(small,)369 b(the)351 b(oscillations)j(indeed)c(die)i(out)f(v)-36 b(ery)352 b(slo)-36 b(wly)-108 b(.)553 b(The)351 b(\\half-life")j(time)d(\(the)g (time)26350 75417 y(12)p eop %%Page: 13 13 13 12 bop 9833 18096 a @beginspecial 141 @llx 329 @lly 450 @urx 455 @ury 3090 @rwi @setspecial %%BeginDocument: pin4.eps %!PS-Adobe-3.0 EPSF-2.0 %%Title: Maple plot %%Creator: Maple %%Pages: 1 %%BoundingBox: 141 329 450 455 %%DocumentNeededResources: font Helvetica %%+ font Times-Italic %%+ font Symbol %%EndComments 20 dict begin gsave /drawborder false def /m {moveto} def /l {lineto} def /C {setrgbcolor} def /Y /setcmykcolor where { %%ifelse Use built-in operator /setcmykcolor get }{ %%ifelse Emulate setcmykcolor with setrgbcolor { %%def 1 sub 3 { %%repeat 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor } bind } ifelse def /G {setgray} def /S {stroke} def /NP {newpath} def %%%%This draws a filled polygon and avoids bugs/features %%%% of some postscript interpreters %%%%GHOSTSCRIPT: has a bug in reversepath - removing %%%%the call to reversepath is a sufficient work around /P {gsave fill grestore reversepath stroke} def %%%%This function is needed for drawing text. It takes two arguments: a %%%%string and a rotation. It outputs width and height. /stringbbox { gsave NP 0 0 m % Set origin for easy calculations. dup rotate exch % Set orientation, and put string on top. false charpath flattenpath 0 exch sub rotate % Undo rotation. pathbbox 4 2 roll pop pop % Get dimens. of our string. 1.1 mul cvi exch 1.1 mul cvi exch % Pad some. grestore} def /thin 3 def /medium 7 def /thick 16 def /boundarythick 20 def % thichess of bounding box %%IncludeResource: font Helvetica %%IncludeResource: font Times-Italic %%IncludeResource: font Symbol 126.000000 324.000000 translate /defaultTitleFont {/Helvetica findfont 711 scalefont setfont} def /defaultFont {/Helvetica findfont 295 scalefont setfont} def /userFont1 {/Times-Italic findfont 434 scalefont setfont} def /userFont2 {/Symbol findfont 434 scalefont setfont} def 0.0288 0.0288 scale 1 setlinejoin 1 setlinecap 0.0 setgray /inch {72 mul} def /fheight 0.35 inch neg def 0 G medium setlinewidth [] 0 setdash defaultFont NP 1442 4047 m 10813 771 l S 24 setlinewidth NP 10869 603 m 10869 576 l S NP 10849 618 m 10869 603 l S NP 10829 626 m 10849 618 l S NP 10829 626 m 10829 626 l S NP 10810 629 m 10829 626 l S NP 10790 624 m 10810 629 l S NP 10790 624 m 10790 624 l S NP 10770 629 m 10790 624 l S NP 10770 624 m 10770 629 l S NP 10751 621 m 10770 624 l S NP 10731 618 m 10751 621 l S NP 10731 618 m 10731 618 l S NP 10711 624 m 10731 618 l S NP 10711 635 m 10711 624 l S NP 10692 644 m 10711 635 l S NP 10672 652 m 10692 644 l S NP 10672 658 m 10672 652 l S NP 10653 678 m 10672 658 l S NP 10633 706 m 10653 678 l S NP 10633 728 m 10633 706 l S NP 10613 752 m 10633 728 l S NP 10613 768 m 10613 752 l S NP 10594 782 m 10613 768 l S NP 10574 792 m 10594 782 l S NP 10574 792 m 10574 792 l S NP 10555 787 m 10574 792 l S NP 10555 787 m 10555 787 l S NP 10535 771 m 10555 787 l S NP 10515 739 m 10535 771 l S NP 10515 711 m 10515 739 l S NP 10496 689 m 10515 711 l S NP 10496 678 m 10496 689 l S NP 10476 681 m 10496 678 l S NP 10457 698 m 10476 681 l S NP 10457 725 m 10457 698 l S NP 10437 763 m 10457 725 l S NP 10417 787 m 10437 763 l S NP 10417 818 m 10417 787 l S NP 10398 862 m 10417 818 l S NP 10398 907 m 10398 862 l S NP 10378 931 m 10398 907 l S NP 10358 950 m 10378 931 l S NP 10358 957 m 10358 950 l S NP 10339 955 m 10358 957 l S NP 10339 941 m 10339 955 l S NP 10319 921 m 10339 941 l S NP 10299 907 m 10319 921 l S NP 10299 889 m 10299 907 l S NP 10280 884 m 10299 889 l S NP 10280 877 m 10280 884 l S NP 10260 882 m 10280 877 l S NP 10240 884 m 10260 882 l S NP 10240 887 m 10240 884 l S NP 10221 892 m 10240 887 l S NP 10201 899 m 10221 892 l S NP 10201 904 m 10201 899 l S NP 10181 919 m 10201 904 l S NP 10181 941 m 10181 919 l S NP 10162 948 m 10181 941 l S NP 10142 955 m 10162 948 l S NP 10142 960 m 10142 955 l S NP 10123 972 m 10142 960 l S NP 10123 991 m 10123 972 l S NP 10103 1005 m 10123 991 l S NP 10083 1021 m 10103 1005 l S NP 10083 1044 m 10083 1021 l S NP 10063 1064 m 10083 1044 l S NP 10063 1073 m 10063 1064 l S NP 10044 1086 m 10063 1073 l S NP 10024 1095 m 10044 1086 l S NP 10024 1108 m 10024 1095 l S NP 10004 1110 m 10024 1108 l S NP 9985 1106 m 10004 1110 l S NP 9985 1097 m 9985 1106 l S NP 9965 1088 m 9985 1097 l S NP 9965 1084 m 9965 1088 l S NP 9945 1084 m 9965 1084 l S NP 9926 1084 m 9945 1084 l S NP 9926 1077 m 9926 1084 l S NP 9906 1068 m 9926 1077 l S NP 9906 1068 m 9906 1068 l S NP 9886 1077 m 9906 1068 l S NP 9867 1097 m 9886 1077 l S NP 9867 1123 m 9867 1097 l S NP 9847 1145 m 9867 1123 l S NP 9847 1160 m 9847 1145 l S NP 9827 1168 m 9847 1160 l S NP 9808 1172 m 9827 1168 l S NP 9808 1185 m 9808 1172 l S NP 9788 1199 m 9808 1185 l S NP 9768 1208 m 9788 1199 l S NP 9768 1201 m 9768 1208 l S NP 9749 1193 m 9768 1201 l S NP 9749 1187 m 9749 1193 l S NP 9729 1183 m 9749 1187 l S NP 9710 1187 m 9729 1183 l S NP 9710 1191 m 9710 1187 l S NP 9690 1195 m 9710 1191 l S NP 9690 1195 m 9690 1195 l S NP 9670 1199 m 9690 1195 l S NP 9651 1201 m 9670 1199 l S NP 9651 1210 m 9651 1201 l S NP 9631 1222 m 9651 1210 l S NP 9631 1230 m 9631 1222 l S NP 9611 1242 m 9631 1230 l S NP 9592 1252 m 9611 1242 l S NP 9592 1266 m 9592 1252 l S NP 9572 1280 m 9592 1266 l S NP 9553 1282 m 9572 1280 l S NP 9553 1282 m 9553 1282 l S NP 9533 1278 m 9553 1282 l S NP 9533 1280 m 9533 1278 l S NP 9513 1278 m 9533 1280 l S NP 9494 1272 m 9513 1278 l S NP 9494 1266 m 9494 1272 l S NP 9474 1250 m 9494 1266 l S NP 9474 1238 m 9474 1250 l S NP 9454 1228 m 9474 1238 l S NP 9435 1232 m 9454 1228 l S NP 9435 1240 m 9435 1232 l S NP 9415 1254 m 9435 1240 l S NP 9415 1264 m 9415 1254 l S NP 9395 1278 m 9415 1264 l S NP 9376 1298 m 9395 1278 l S NP 9376 1317 m 9376 1298 l S NP 9356 1338 m 9376 1317 l S NP 9337 1353 m 9356 1338 l S NP 9336 1359 m 9337 1353 l S NP 9317 1363 m 9336 1359 l S NP 9317 1365 m 9317 1363 l S NP 9297 1361 m 9317 1365 l S NP 9278 1344 m 9297 1361 l S NP 9278 1327 m 9278 1344 l S NP 9258 1309 m 9278 1327 l S NP 9258 1300 m 9258 1309 l S NP 9238 1298 m 9258 1300 l S NP 9219 1302 m 9238 1298 l S NP 9219 1309 m 9219 1302 l S NP 9199 1325 m 9219 1309 l S NP 9179 1338 m 9199 1325 l S NP 9179 1355 m 9179 1338 l S NP 9160 1378 m 9179 1355 l S NP 9160 1404 m 9160 1378 l S NP 9140 1416 m 9160 1404 l S NP 9120 1422 m 9140 1416 l S NP 9120 1425 m 9120 1422 l S NP 9101 1434 m 9120 1425 l S NP 9101 1443 m 9101 1434 l S NP 9081 1445 m 9101 1443 l S NP 9062 1456 m 9081 1445 l S NP 9062 1468 m 9062 1456 l S NP 9042 1482 m 9062 1468 l S NP 9042 1493 m 9042 1482 l S NP 9022 1508 m 9042 1493 l S NP 9003 1522 m 9022 1508 l S NP 9003 1541 m 9003 1522 l S NP 8983 1546 m 9003 1541 l S NP 8963 1548 m 8983 1546 l S NP 8963 1551 m 8963 1548 l S NP 8944 1551 m 8963 1551 l S NP 8944 1554 m 8944 1551 l S NP 8924 1553 m 8944 1554 l S NP 8904 1553 m 8924 1553 l S NP 8904 1559 m 8904 1553 l S NP 8885 1569 m 8904 1559 l S NP 8885 1581 m 8885 1569 l S NP 8865 1592 m 8885 1581 l S NP 8845 1610 m 8865 1592 l S NP 8845 1630 m 8845 1610 l S NP 8826 1644 m 8845 1630 l S NP 8826 1652 m 8826 1644 l S NP 8806 1660 m 8826 1652 l S NP 8787 1661 m 8806 1660 l S NP 8787 1660 m 8787 1661 l S NP 8767 1660 m 8787 1660 l S NP 8747 1655 m 8767 1660 l S NP 8747 1657 m 8747 1655 l S NP 8728 1655 m 8747 1657 l S NP 8728 1657 m 8728 1655 l S NP 8708 1660 m 8728 1657 l S NP 8688 1663 m 8708 1660 l S NP 8688 1666 m 8688 1663 l S NP 8669 1669 m 8688 1666 l S NP 8669 1679 m 8669 1669 l S NP 8649 1683 m 8669 1679 l S NP 8629 1685 m 8649 1683 l S NP 8629 1688 m 8629 1685 l S NP 8610 1694 m 8629 1688 l S NP 8610 1691 m 8610 1694 l S NP 8590 1694 m 8610 1691 l S NP 8570 1693 m 8590 1694 l S NP 8570 1696 m 8570 1693 l S NP 8551 1699 m 8570 1696 l S NP 8531 1700 m 8551 1699 l S NP 8531 1703 m 8531 1700 l S NP 8512 1705 m 8531 1703 l S NP 8512 1700 m 8512 1705 l S NP 8492 1699 m 8512 1700 l S NP 8472 1697 m 8492 1699 l S NP 8472 1697 m 8472 1697 l S NP 8453 1703 m 8472 1697 l S NP 8453 1708 m 8453 1703 l S NP 8433 1714 m 8453 1708 l S NP 8414 1712 m 8433 1714 l S NP 8414 1708 m 8414 1712 l S NP 8394 1711 m 8414 1708 l S NP 8375 1716 m 8394 1711 l S NP 8375 1717 m 8375 1716 l S NP 8355 1711 m 8375 1717 l S NP 8355 1706 m 8355 1711 l S NP 8335 1705 m 8355 1706 l S NP 8316 1700 m 8335 1705 l S NP 8316 1702 m 8316 1700 l S NP 8296 1705 m 8316 1702 l S NP 8296 1711 m 8296 1705 l S NP 8277 1716 m 8296 1711 l S NP 8257 1722 m 8277 1716 l S NP 8257 1726 m 8257 1722 l S NP 8238 1731 m 8257 1726 l S NP 8238 1732 m 8238 1731 l S NP 8218 1735 m 8238 1732 l S NP 8198 1741 m 8218 1735 l S NP 8198 1750 m 8198 1741 l S NP 8179 1758 m 8198 1750 l S NP 8159 1764 m 8179 1758 l S NP 8159 1771 m 8159 1764 l S NP 8140 1775 m 8159 1771 l S NP 8140 1786 m 8140 1775 l S NP 8120 1796 m 8140 1786 l S NP 8100 1803 m 8120 1796 l S NP 8100 1800 m 8100 1803 l S NP 8081 1802 m 8100 1800 l S NP 8081 1802 m 8081 1802 l S NP 8061 1802 m 8081 1802 l S NP 8042 1800 m 8061 1802 l S NP 8042 1803 m 8042 1800 l S NP 8022 1805 m 8042 1803 l S NP 8003 1806 m 8022 1805 l S NP 8003 1812 m 8003 1806 l S NP 7983 1813 m 8003 1812 l S NP 7983 1820 m 7983 1813 l S NP 7964 1825 m 7983 1820 l S NP 7944 1820 m 7964 1825 l S NP 7944 1813 m 7944 1820 l S NP 7924 1812 m 7944 1813 l S NP 7924 1805 m 7924 1812 l S NP 7905 1800 m 7924 1805 l S NP 7885 1796 m 7905 1800 l S NP 7885 1799 m 7885 1796 l S NP 7866 1803 m 7885 1799 l S NP 7846 1812 m 7866 1803 l S NP 7846 1817 m 7846 1812 l S NP 7827 1822 m 7846 1817 l S NP 7827 1837 m 7827 1822 l S NP 7807 1842 m 7827 1837 l S NP 7788 1850 m 7807 1842 l S NP 7788 1853 m 7788 1850 l S NP 7768 1860 m 7788 1853 l S NP 7768 1859 m 7768 1860 l S NP 7749 1859 m 7768 1859 l S NP 7729 1860 m 7749 1859 l S NP 7729 1860 m 7729 1860 l S NP 7709 1864 m 7729 1860 l S NP 7690 1864 m 7709 1864 l S NP 7690 1866 m 7690 1864 l S NP 7670 1873 m 7690 1866 l S NP 7670 1881 m 7670 1873 l S NP 7651 1886 m 7670 1881 l S NP 7631 1897 m 7651 1886 l S NP 7631 1905 m 7631 1897 l S NP 7612 1912 m 7631 1905 l S NP 7612 1923 m 7612 1912 l S NP 7592 1928 m 7612 1923 l S NP 7573 1935 m 7592 1928 l S NP 7573 1935 m 7573 1935 l S NP 7553 1933 m 7573 1935 l S NP 7534 1935 m 7553 1933 l S NP 7534 1937 m 7534 1935 l S NP 7514 1930 m 7534 1937 l S NP 7514 1931 m 7514 1930 l S NP 7494 1934 m 7514 1931 l S NP 7475 1937 m 7494 1934 l S NP 7475 1942 m 7475 1937 l S NP 7455 1945 m 7475 1942 l S NP 7455 1950 m 7455 1945 l S NP 7436 1959 m 7455 1950 l S NP 7416 1958 m 7436 1959 l S NP 7416 1960 m 7416 1958 l S NP 7397 1963 m 7416 1960 l S NP 7377 1962 m 7397 1963 l S NP 7377 1958 m 7377 1962 l S NP 7358 1955 m 7377 1958 l S NP 7358 1956 m 7358 1955 l S NP 7338 1959 m 7358 1956 l S NP 7319 1960 m 7338 1959 l S NP 7319 1964 m 7319 1960 l S NP 7299 1968 m 7319 1964 l S NP 7299 1974 m 7299 1968 l S NP 7280 1981 m 7299 1974 l S NP 7260 1992 m 7280 1981 l S NP 7260 2003 m 7260 1992 l S NP 7240 2014 m 7260 2003 l S NP 7221 2019 m 7240 2014 l S NP 7221 2020 m 7221 2019 l S NP 7201 2017 m 7221 2020 l S NP 7201 2017 m 7201 2017 l S NP 7182 2016 m 7201 2017 l S NP 7162 2015 m 7182 2016 l S NP 7162 2010 m 7162 2015 l S NP 7143 2006 m 7162 2010 l S NP 7143 2006 m 7143 2006 l S NP 7123 2008 m 7143 2006 l S NP 7104 2016 m 7123 2008 l S NP 7104 2028 m 7104 2016 l S NP 7084 2039 m 7104 2028 l S NP 7065 2049 m 7084 2039 l S NP 7065 2059 m 7065 2049 l S NP 7045 2068 m 7065 2059 l S NP 7045 2079 m 7045 2068 l S NP 7026 2085 m 7045 2079 l S NP 7006 2085 m 7026 2085 l S NP 7006 2082 m 7006 2085 l S NP 6987 2079 m 7006 2082 l S NP 6987 2075 m 6987 2079 l S NP 6967 2075 m 6987 2075 l S NP 6948 2077 m 6967 2075 l S NP 6948 2077 m 6948 2077 l S NP 6928 2081 m 6948 2077 l S NP 6909 2086 m 6928 2081 l S NP 6909 2088 m 6909 2086 l S NP 6889 2091 m 6909 2088 l S NP 6889 2098 m 6889 2091 l S NP 6869 2103 m 6889 2098 l S NP 6850 2107 m 6869 2103 l S NP 6850 2107 m 6850 2107 l S NP 6830 2101 m 6850 2107 l S NP 6830 2102 m 6830 2101 l S NP 6811 2102 m 6830 2102 l S NP 6791 2104 m 6811 2102 l S NP 6791 2104 m 6791 2104 l S NP 6772 2109 m 6791 2104 l S NP 6772 2112 m 6772 2109 l S NP 6752 2108 m 6772 2112 l S NP 6733 2108 m 6752 2108 l S NP 6733 2116 m 6733 2108 l S NP 6713 2128 m 6733 2116 l S NP 6694 2135 m 6713 2128 l S NP 6694 2141 m 6694 2135 l S NP 6674 2147 m 6694 2141 l S NP 6674 2154 m 6674 2147 l S NP 6655 2158 m 6674 2154 l S NP 6635 2163 m 6655 2158 l S NP 6635 2172 m 6635 2163 l S NP 6616 2181 m 6635 2172 l S NP 6596 2187 m 6616 2181 l S NP 6596 2193 m 6596 2187 l S NP 6577 2205 m 6596 2193 l S NP 6577 2216 m 6577 2205 l S NP 6557 2220 m 6577 2216 l S NP 6538 2223 m 6557 2220 l S NP 6538 2226 m 6538 2223 l S NP 6518 2229 m 6538 2226 l S NP 6518 2235 m 6518 2229 l S NP 6499 2235 m 6518 2235 l S NP 6479 2237 m 6499 2235 l S NP 6479 2238 m 6479 2237 l S NP 6460 2237 m 6479 2238 l S NP 6440 2238 m 6460 2237 l S NP 6440 2244 m 6440 2238 l S NP 6420 2252 m 6440 2244 l S NP 6420 2259 m 6420 2252 l S NP 6401 2265 m 6420 2259 l S NP 6381 2268 m 6401 2265 l S NP 6381 2270 m 6381 2268 l S NP 6362 2275 m 6381 2270 l S NP 6362 2280 m 6362 2275 l S NP 6342 2284 m 6362 2280 l S NP 6323 2289 m 6342 2284 l S NP 6323 2295 m 6323 2289 l S NP 6303 2299 m 6323 2295 l S NP 6284 2306 m 6303 2299 l S NP 6284 2315 m 6284 2306 l S NP 6265 2322 m 6284 2315 l S NP 6265 2333 m 6265 2322 l S NP 6245 2340 m 6265 2333 l S NP 6226 2341 m 6245 2340 l S NP 6226 2339 m 6226 2341 l S NP 6206 2339 m 6226 2339 l S NP 6206 2338 m 6206 2339 l S NP 6187 2340 m 6206 2338 l S NP 6167 2344 m 6187 2340 l S NP 6167 2348 m 6167 2344 l S NP 6148 2356 m 6167 2348 l S NP 6128 2361 m 6148 2356 l S NP 6128 2367 m 6128 2361 l S NP 6109 2370 m 6128 2367 l S NP 6109 2376 m 6109 2370 l S NP 6089 2381 m 6109 2376 l S NP 6070 2381 m 6089 2381 l S NP 6070 2383 m 6070 2381 l S NP 6050 2384 m 6070 2383 l S NP 6050 2386 m 6050 2384 l S NP 6031 2384 m 6050 2386 l S NP 6011 2384 m 6031 2384 l S NP 6011 2387 m 6011 2384 l S NP 5992 2391 m 6011 2387 l S NP 5973 2396 m 5992 2391 l S NP 5973 2401 m 5973 2396 l S NP 5953 2408 m 5973 2401 l S NP 5953 2415 m 5953 2408 l S NP 5934 2422 m 5953 2415 l S NP 5914 2431 m 5934 2422 l S NP 5914 2440 m 5914 2431 l S NP 5895 2451 m 5914 2440 l S NP 5875 2456 m 5895 2451 l S NP 5875 2460 m 5875 2456 l S NP 5856 2466 m 5875 2460 l S NP 5856 2469 m 5856 2466 l S NP 5836 2473 m 5856 2469 l S NP 5817 2476 m 5836 2473 l S NP 5817 2478 m 5817 2476 l S NP 5798 2480 m 5817 2478 l S NP 5798 2480 m 5798 2480 l S NP 5778 2480 m 5798 2480 l S NP 5759 2485 m 5778 2480 l S NP 5759 2493 m 5759 2485 l S NP 5739 2498 m 5759 2493 l S NP 5720 2504 m 5739 2498 l S NP 5720 2509 m 5720 2504 l S NP 5700 2518 m 5720 2509 l S NP 5700 2524 m 5700 2518 l S NP 5681 2529 m 5700 2524 l S NP 5661 2534 m 5681 2529 l S NP 5661 2538 m 5661 2534 l S NP 5642 2544 m 5661 2538 l S NP 5642 2546 m 5642 2544 l S NP 5622 2549 m 5642 2546 l S NP 5603 2550 m 5622 2549 l S NP 5603 2550 m 5603 2550 l S NP 5584 2553 m 5603 2550 l S NP 5564 2553 m 5584 2553 l S NP 5564 2557 m 5564 2553 l S NP 5545 2561 m 5564 2557 l S NP 5545 2563 m 5545 2561 l S NP 5525 2564 m 5545 2563 l S NP 5506 2566 m 5525 2564 l S NP 5506 2571 m 5506 2566 l S NP 5487 2575 m 5506 2571 l S NP 5467 2581 m 5487 2575 l S NP 5467 2583 m 5467 2581 l S NP 5448 2586 m 5467 2583 l S NP 5448 2587 m 5448 2586 l S NP 5428 2592 m 5448 2587 l S NP 5409 2601 m 5428 2592 l S NP 5409 2608 m 5409 2601 l S NP 5390 2616 m 5409 2608 l S NP 5390 2624 m 5390 2616 l S NP 5370 2634 m 5390 2624 l S NP 5351 2644 m 5370 2634 l S NP 5351 2651 m 5351 2644 l S NP 5331 2662 m 5351 2651 l S NP 5312 2668 m 5331 2662 l S NP 5312 2671 m 5312 2668 l S NP 5293 2674 m 5312 2671 l S NP 5293 2678 m 5293 2674 l S NP 5273 2685 m 5293 2678 l S NP 5254 2687 m 5273 2685 l S NP 5254 2694 m 5254 2687 l S NP 5234 2697 m 5254 2694 l S NP 5215 2702 m 5234 2697 l S NP 5215 2710 m 5215 2702 l S NP 5195 2718 m 5215 2710 l S NP 5195 2725 m 5195 2718 l S NP 5176 2733 m 5195 2725 l S NP 5157 2741 m 5176 2733 l S NP 5157 2746 m 5157 2741 l S NP 5137 2753 m 5157 2746 l S NP 5137 2760 m 5137 2753 l S NP 5118 2769 m 5137 2760 l S NP 5098 2774 m 5118 2769 l S NP 5098 2778 m 5098 2774 l S NP 5079 2784 m 5098 2778 l S NP 5060 2789 m 5079 2784 l S NP 5060 2798 m 5060 2789 l S NP 5040 2804 m 5060 2798 l S NP 5040 2812 m 5040 2804 l S NP 5021 2817 m 5040 2812 l S NP 5001 2820 m 5021 2817 l S NP 5001 2821 m 5001 2820 l S NP 4982 2824 m 5001 2821 l S NP 4963 2829 m 4982 2824 l S NP 4963 2832 m 4963 2829 l S NP 4943 2840 m 4963 2832 l S NP 4943 2848 m 4943 2840 l S NP 4924 2854 m 4943 2848 l S NP 4904 2859 m 4924 2854 l S NP 4904 2863 m 4904 2859 l S NP 4885 2868 m 4904 2863 l S NP 4885 2875 m 4885 2868 l S NP 4866 2881 m 4885 2875 l S NP 4846 2886 m 4866 2881 l S NP 4846 2889 m 4846 2886 l S NP 4827 2891 m 4846 2889 l S NP 4807 2889 m 4827 2891 l S NP 4807 2888 m 4807 2889 l S NP 4788 2886 m 4807 2888 l S NP 4788 2889 m 4788 2886 l S NP 4769 2892 m 4788 2889 l S NP 4749 2897 m 4769 2892 l S NP 4749 2903 m 4749 2897 l S NP 4730 2906 m 4749 2903 l S NP 4710 2911 m 4730 2906 l S NP 4711 2911 m 4710 2911 l S NP 4691 2914 m 4711 2911 l S NP 4691 2917 m 4691 2914 l S NP 4672 2923 m 4691 2917 l S NP 4652 2926 m 4672 2923 l S NP 4652 2929 m 4652 2926 l S NP 4633 2932 m 4652 2929 l S NP 4633 2934 m 4633 2932 l S NP 4613 2939 m 4633 2934 l S NP 4594 2945 m 4613 2939 l S NP 4594 2952 m 4594 2945 l S NP 4575 2959 m 4594 2952 l S NP 4556 2967 m 4575 2959 l S NP 4556 2973 m 4556 2967 l S NP 4536 2979 m 4556 2973 l S NP 4536 2985 m 4536 2979 l S NP 4517 2991 m 4536 2985 l S NP 4497 2995 m 4517 2991 l S NP 4497 3000 m 4497 2995 l S NP 4478 3005 m 4497 3000 l S NP 4459 3009 m 4478 3005 l S NP 4459 3013 m 4459 3009 l S NP 4439 3016 m 4459 3013 l S NP 4439 3019 m 4439 3016 l S NP 4420 3022 m 4439 3019 l S NP 4401 3024 m 4420 3022 l S NP 4401 3029 m 4401 3024 l S NP 4381 3033 m 4401 3029 l S NP 4362 3038 m 4381 3033 l S NP 4362 3041 m 4362 3038 l S NP 4343 3046 m 4362 3041 l S NP 4343 3051 m 4343 3046 l S NP 4323 3054 m 4343 3051 l S NP 4304 3059 m 4323 3054 l S NP 4304 3059 m 4304 3059 l S NP 4285 3062 m 4304 3059 l S NP 4285 3063 m 4285 3062 l S NP 4265 3067 m 4285 3063 l S NP 4246 3071 m 4265 3067 l S NP 4246 3076 m 4246 3071 l S NP 4226 3082 m 4246 3076 l S NP 4207 3086 m 4226 3082 l S NP 4207 3093 m 4207 3086 l S NP 4188 3100 m 4207 3093 l S NP 4188 3110 m 4188 3100 l S NP 4168 3119 m 4188 3110 l S NP 4149 3123 m 4168 3119 l S NP 4149 3127 m 4149 3123 l S NP 4130 3131 m 4149 3127 l S NP 4110 3133 m 4130 3131 l S NP 4110 3134 m 4110 3133 l S NP 4091 3136 m 4110 3134 l S NP 4091 3140 m 4091 3136 l S NP 4071 3142 m 4091 3140 l S NP 4052 3145 m 4071 3142 l S NP 4052 3145 m 4052 3145 l S NP 4033 3144 m 4052 3145 l S NP 4013 3144 m 4033 3144 l S NP 4013 3143 m 4013 3144 l S NP 3994 3144 m 4013 3143 l S NP 3994 3147 m 3994 3144 l S NP 3975 3150 m 3994 3147 l S NP 3955 3151 m 3975 3150 l S NP 3955 3152 m 3955 3151 l S NP 3936 3152 m 3955 3152 l S NP 3936 3153 m 3936 3152 l S NP 3917 3157 m 3936 3153 l S NP 3897 3161 m 3917 3157 l S NP 3897 3165 m 3897 3161 l S NP 3878 3168 m 3897 3165 l S NP 3859 3172 m 3878 3168 l S NP 3859 3172 m 3859 3172 l S NP 3839 3174 m 3859 3172 l S NP 3839 3178 m 3839 3174 l S NP 3820 3181 m 3839 3178 l S NP 3801 3186 m 3820 3181 l S NP 3801 3193 m 3801 3186 l S NP 3781 3198 m 3801 3193 l S NP 3762 3203 m 3781 3198 l S NP 3762 3209 m 3762 3203 l S NP 3743 3214 m 3762 3209 l S NP 3743 3220 m 3743 3214 l S NP 3723 3227 m 3743 3220 l S NP 3704 3233 m 3723 3227 l S NP 3704 3238 m 3704 3233 l S NP 3685 3241 m 3704 3238 l S NP 3666 3244 m 3685 3241 l S NP 3666 3246 m 3666 3244 l S NP 3646 3247 m 3666 3246 l S NP 3646 3251 m 3646 3247 l S NP 3627 3254 m 3646 3251 l S NP 3607 3257 m 3627 3254 l S NP 3607 3257 m 3607 3257 l S NP 3588 3259 m 3607 3257 l S NP 3569 3261 m 3588 3259 l S NP 3569 3265 m 3569 3261 l S NP 3549 3268 m 3569 3265 l S NP 3550 3275 m 3549 3268 l S NP 3530 3281 m 3550 3275 l S NP 3511 3285 m 3530 3281 l S NP 3511 3291 m 3511 3285 l S NP 3492 3294 m 3511 3291 l S NP 3472 3300 m 3492 3294 l S NP 3472 3306 m 3472 3300 l S NP 3453 3312 m 3472 3306 l S NP 3453 3319 m 3453 3312 l S NP 3434 3326 m 3453 3319 l S NP 3415 3332 m 3434 3326 l S NP 3415 3337 m 3415 3332 l S NP 3395 3342 m 3415 3337 l S NP 3395 3346 m 3395 3342 l S NP 3376 3353 m 3395 3346 l S NP 3357 3357 m 3376 3353 l S NP 3357 3361 m 3357 3357 l S NP 3337 3366 m 3357 3361 l S NP 3318 3370 m 3337 3366 l S NP 3318 3374 m 3318 3370 l S NP 3299 3378 m 3318 3374 l S NP 3298 3384 m 3299 3378 l S NP 3279 3387 m 3298 3384 l S NP 3260 3392 m 3279 3387 l S NP 3260 3396 m 3260 3392 l S NP 3241 3401 m 3260 3396 l S NP 3221 3405 m 3241 3401 l S NP 3221 3410 m 3221 3405 l S NP 3202 3418 m 3221 3410 l S NP 3202 3422 m 3202 3418 l S NP 3183 3429 m 3202 3422 l S NP 3163 3432 m 3183 3429 l S NP 3163 3437 m 3163 3432 l S NP 3144 3443 m 3163 3437 l S NP 3125 3448 m 3144 3443 l S NP 3125 3456 m 3125 3448 l S NP 3106 3461 m 3125 3456 l S NP 3106 3467 m 3106 3461 l S NP 3086 3468 m 3106 3467 l S NP 3067 3471 m 3086 3468 l S NP 3067 3477 m 3067 3471 l S NP 3048 3484 m 3067 3477 l S NP 3028 3491 m 3048 3484 l S NP 3028 3495 m 3028 3491 l S NP 3009 3500 m 3028 3495 l S NP 3009 3502 m 3009 3500 l S NP 2990 3506 m 3009 3502 l S NP 2970 3511 m 2990 3506 l S NP 2970 3519 m 2970 3511 l S NP 2951 3525 m 2970 3519 l S NP 2932 3529 m 2951 3525 l S NP 2932 3532 m 2932 3529 l S NP 2912 3536 m 2932 3532 l S NP 2912 3542 m 2912 3536 l S NP 2893 3546 m 2912 3542 l S NP 2874 3552 m 2893 3546 l S NP 2874 3553 m 2874 3552 l S NP 2855 3554 m 2874 3553 l S NP 2855 3554 m 2855 3554 l S NP 2835 3554 m 2855 3554 l S NP 2816 3556 m 2835 3554 l S NP 2816 3560 m 2816 3556 l S NP 2797 3564 m 2816 3560 l S NP 2777 3568 m 2797 3564 l S NP 2777 3574 m 2777 3568 l S NP 2758 3578 m 2777 3574 l S NP 2758 3585 m 2758 3578 l S NP 2739 3591 m 2758 3585 l S NP 2719 3595 m 2739 3591 l S NP 2719 3598 m 2719 3595 l S NP 2700 3602 m 2719 3598 l S NP 2681 3605 m 2700 3602 l S NP 2681 3606 m 2681 3605 l S NP 2661 3608 m 2681 3606 l S NP 2661 3608 m 2661 3608 l S NP 2642 3609 m 2661 3608 l S NP 2623 3608 m 2642 3609 l S NP 2623 3610 m 2623 3608 l S NP 2603 3613 m 2623 3610 l S NP 2584 3618 m 2603 3613 l S NP 2584 3625 m 2584 3618 l S NP 2565 3629 m 2584 3625 l S NP 2565 3635 m 2565 3629 l S NP 2545 3637 m 2565 3635 l S NP 2526 3642 m 2545 3637 l S NP 2526 3646 m 2526 3642 l S NP 2507 3654 m 2526 3646 l S NP 2487 3664 m 2507 3654 l S NP 2487 3670 m 2487 3664 l S NP 2468 3677 m 2487 3670 l S NP 2468 3678 m 2468 3677 l S NP 2449 3682 m 2468 3678 l S NP 2429 3683 m 2449 3682 l S NP 2429 3687 m 2429 3683 l S NP 2410 3692 m 2429 3687 l S NP 2410 3699 m 2410 3692 l S NP 2391 3704 m 2410 3699 l S NP 2371 3706 m 2391 3704 l S NP 2371 3711 m 2371 3706 l S NP 2352 3715 m 2371 3711 l S NP 2333 3723 m 2352 3715 l S NP 2333 3728 m 2333 3723 l S NP 2313 3737 m 2333 3728 l S NP 2313 3745 m 2313 3737 l S NP 2294 3754 m 2313 3745 l S NP 2275 3760 m 2294 3754 l S NP 2275 3764 m 2275 3760 l S NP 2255 3773 m 2275 3764 l S NP 2236 3777 m 2255 3773 l S NP 2236 3784 m 2236 3777 l S NP 2217 3788 m 2236 3784 l S NP 2217 3795 m 2217 3788 l S NP 2197 3799 m 2217 3795 l S NP 2178 3803 m 2197 3799 l S NP 2178 3805 m 2178 3803 l S NP 2159 3808 m 2178 3805 l S NP 2139 3813 m 2159 3808 l S NP 2139 3814 m 2139 3813 l S NP 2120 3820 m 2139 3814 l S NP 2120 3822 m 2120 3820 l S NP 2100 3829 m 2120 3822 l S NP 2081 3834 m 2100 3829 l S NP 2081 3842 m 2081 3834 l S NP 2061 3848 m 2081 3842 l S NP 2061 3854 m 2061 3848 l S NP 2042 3861 m 2061 3854 l S NP 2023 3865 m 2042 3861 l S NP 2023 3875 m 2023 3865 l S NP 2003 3882 m 2023 3875 l S NP 1984 3889 m 2003 3882 l S NP 1984 3892 m 1984 3889 l S NP 1964 3896 m 1984 3892 l S NP 1964 3903 m 1964 3896 l S NP 1945 3909 m 1964 3903 l S NP 1926 3916 m 1945 3909 l S NP 1926 3920 m 1926 3916 l S NP 1906 3928 m 1926 3920 l S NP 1887 3929 m 1906 3928 l S NP 1887 3934 m 1887 3929 l S NP 1867 3935 m 1887 3934 l S NP 1867 3942 m 1867 3935 l S NP 1848 3945 m 1867 3942 l S NP 1828 3945 m 1848 3945 l S NP 1828 3948 m 1828 3945 l S NP 1809 3950 m 1828 3948 l S NP 1809 3956 m 1809 3950 l S NP 1789 3958 m 1809 3956 l S NP 1770 3966 m 1789 3958 l S NP 1770 3971 m 1770 3966 l S NP 1751 3978 m 1770 3971 l S NP 1731 3983 m 1751 3978 l S NP 1731 3989 m 1731 3983 l S NP 1712 3996 m 1731 3989 l S NP 1712 4004 m 1712 3996 l S NP 1692 4012 m 1712 4004 l S NP 1673 4017 m 1692 4012 l S NP 1673 4019 m 1673 4017 l S NP 1653 4024 m 1673 4019 l S NP 1653 4029 m 1653 4024 l S NP 1633 4033 m 1653 4029 l S NP 1614 4035 m 1633 4033 l S NP 1614 4039 m 1614 4035 l S NP 1594 4047 m 1614 4039 l S NP 1575 4051 m 1594 4047 l S NP 1575 4056 m 1575 4051 l S NP 1555 4061 m 1575 4056 l S NP 1555 4074 m 1555 4061 l S NP 1536 4084 m 1555 4074 l S NP 1516 4093 m 1536 4084 l S NP 1516 4099 m 1516 4093 l userFont2 % bug patch -- we have a problem S medium setlinewidth (t) dup 0 stringbbox 2 idiv 705 exch sub exch 2 idiv 11053 exch sub exch m show userFont1 % bug patch -- we have a problem (ln\(A\)) dup 0 stringbbox 2 idiv 4421 exch sub exch 2 idiv 1802 exch sub exch m show medium setlinewidth NP 1250 500 m 1250 4500 l S thin setlinewidth NP 1201 536 m 1250 536 l S NP 1201 705 m 1250 705 l S NP 1152 874 m 1250 874 l S NP 1201 1043 m 1250 1043 l S NP 1201 1212 m 1250 1212 l S NP 1201 1381 m 1250 1381 l S NP 1201 1550 m 1250 1550 l S NP 1152 1718 m 1250 1718 l S NP 1201 1887 m 1250 1887 l S NP 1201 2056 m 1250 2056 l S NP 1201 2225 m 1250 2225 l S NP 1201 2394 m 1250 2394 l S NP 1152 2563 m 1250 2563 l S NP 1201 2732 m 1250 2732 l S NP 1201 2901 m 1250 2901 l S NP 1201 3070 m 1250 3070 l S NP 1201 3239 m 1250 3239 l S NP 1152 3408 m 1250 3408 l S NP 1201 3576 m 1250 3576 l S NP 1201 3745 m 1250 3745 l S NP 1201 3914 m 1250 3914 l S NP 1201 4083 m 1250 4083 l S NP 1152 4252 m 1250 4252 l S NP 1201 4421 m 1250 4421 l S medium setlinewidth NP 1250 500 m 11250 500 l S thin setlinewidth NP 1682 463 m 1682 500 l S NP 2163 463 m 2163 500 l S NP 2643 463 m 2643 500 l S NP 3124 463 m 3124 500 l S NP 3604 426 m 3604 500 l S NP 4085 463 m 4085 500 l S NP 4566 463 m 4566 500 l S NP 5046 463 m 5046 500 l S NP 5527 463 m 5527 500 l S NP 6007 426 m 6007 500 l S NP 6488 463 m 6488 500 l S NP 6968 463 m 6968 500 l S NP 7449 463 m 7449 500 l S NP 7930 463 m 7930 500 l S NP 8410 426 m 8410 500 l S NP 8891 463 m 8891 500 l S NP 9371 463 m 9371 500 l S NP 9852 463 m 9852 500 l S NP 10333 463 m 10333 500 l S NP 10813 426 m 10813 500 l defaultFont S medium setlinewidth (\2615) dup 0 stringbbox 2 idiv 874 exch sub exch 1110 exch sub exch m show (\2614.5) dup 0 stringbbox 2 idiv 1718 exch sub exch 1110 exch sub exch m show (\2614) dup 0 stringbbox 2 idiv 2563 exch sub exch 1110 exch sub exch m show (\2613.5) dup 0 stringbbox 2 idiv 3408 exch sub exch 1110 exch sub exch m show (\2613) dup 0 stringbbox 2 idiv 4252 exch sub exch 1110 exch sub exch m show (200) dup 0 stringbbox 395 exch sub exch 2 idiv 3604 exch sub exch m show (400) dup 0 stringbbox 395 exch sub exch 2 idiv 6007 exch sub exch m show (600) dup 0 stringbbox 395 exch sub exch 2 idiv 8410 exch sub exch m show (800) dup 0 stringbbox 395 exch sub exch 2 idiv 10813 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 12500 bd sub 5000 bd sub l 12500 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 2000 22413 a Fm(Figure)473 b(4:)659 b(The)474 b(amplitude)f Fj(A)p Fm(\()p Fj(\034)148 b Fm(\))473 b(on)g(the)g(logarithmic)i(scale:)659 b(exp)36 b(erimen)-36 b(tal)474 b(curv)-36 b(e)473 b(\(b)36 b(old\))473 b(and)2000 25623 y(a)434 b(linear)g(\014t)f(\(thin\).)577 b(The)434 b(same)g(run)e(as)i(the)f(one)h(sho)-36 b(wn)433 b(in)g(Fig.)i(1,)f(2)g (and)f(3.)2000 29497 y(it)467 b(tak)-36 b(es)467 b(to)f(reduce)g(the)g (amplitude)g(b)-36 b(y)466 b(a)h(factor)g(of)h(t)-36 b(w)g(o\))466 b(is)h Fj(\034)34046 29704 y Fs(1)p Fo(=)p Fs(2)35937 29497 y Fm(=)425 b Fj(\025)38133 29015 y Ff(\000)p Fs(1)39612 29497 y Fm(ln)221 b(2)425 b Fi(\031)h Fm(263.)678 b(Note)466 b(that)2000 32708 y(o)-36 b(v)g(er)436 b(the)f(time)h(in)-36 b(terv)-72 b(al)436 b(30)373 b Fj(<)f(\034)520 b(<)373 b Fm(800)436 b(w)-36 b(e)436 b(only)g(observ)-36 b(ed)436 b(the)f(reduction)g(of)h(the)f(amplitude)g(b)-36 b(y)2000 35918 y(a)361 b(factor)g(of)g(ab)36 b(out)360 b(10,)376 b(and)359 b(the)h(p)36 b(erio)g(dic)361 b(oscillations)h(w)-36 b(ere)360 b(still)h(visible)g(on)f(the)g(plot)h(at)f Fj(\034)517 b(>)369 b Fm(900.)2000 39128 y(Also,)435 b Fj(\025)e Fm(and)g(hence)g Fj(\034)13194 39335 y Fs(1)p Fo(=)p Fs(2)15094 39128 y Fm(dep)36 b(end)432 b(on)i(the)f(system)h (size)g Fj(L)p Fm(,)f(see)h(b)36 b(elo)-36 b(w.)2000 46000 y Fl(4)2152 b(Dep)60 b(endence)558 b(of)i(the)f(Time)h(Ev)-60 b(olution)559 b(on)g(System)g(Size)2000 50526 y Fm(Man)-36 b(y)397 b(of)h(the)e(c)-36 b(haracteristics)398 b(of)f(the)g(piston)f (tra)72 b(jectory)399 b(describ)36 b(ed)396 b(ab)36 b(o)-36 b(v)g(e)397 b(\(\(\001)p Fj(Y)289 b Fm(\))44292 50725 y Fs(max)46098 50526 y Fm(,)405 b Fj(W)48092 50725 y Fs(max)49898 50526 y Fm(,)g Fj(A)p Fm(,)2000 53736 y Fj(\034)2565 53935 y Fs(p)26 b(er)3954 53736 y Fm(\))492 b(app)36 b(ear)491 b(to)h(b)36 b(e)492 b(indep)36 b(enden)-36 b(t)489 b(of)k Fj(L)p Fm(.)753 b(The)492 b(follo)-36 b(wing)494 b(table)34853 53254 y Fs(4)35870 53736 y Fm(presen)-36 b(ts)491 b(computed)g(v)-72 b(alues)492 b(of)2000 56946 y(all)434 b(these)g(parameters)f(for)h(di\013eren)-36 b(t)432 b Fj(L)p Fm('s.)p 2000 61064 20000 45 v 3496 61880 a Fk(4)3993 62282 y Fv(The)302 b(n)-31 b(umerical)303 b(data)g(here)e(are)g(giv)-31 b(en)303 b(primarily)h(for)e (demonstrating)i(the)e(t)-31 b(ypical)304 b(scale)e(of)g(oscillations.) 473 b(They)2000 64939 y(are)430 b(not)h(mean)-31 b(t)432 b(to)f(b)31 b(e)430 b(estimates)i(of)f(ph)-31 b(ysical)432 b(parameters,)447 b(so)430 b(w)-31 b(e)431 b(do)g(not)g(pro)-31 b(vide)431 b(error)e(bars.)676 b(F)-92 b(or)430 b Fu(L)410 b Fh(\024)f Fv(200,)2000 67595 y(where)449 b(more)g(than)h(one)f(exp)31 b(erimen)-31 b(tal)451 b(tra)61 b(jectory)451 b(w)-31 b(as)449 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b(\015uctuations)e(of)j(the)d(gas)i(and)f(piston)g (v)-36 b(elo)36 b(cities,)432 b(un)-36 b(til)429 b(the)g(distribution)g (of)h(gas)g(particles)2000 56787 y(completely)547 b(breaks)g(do)-36 b(wn.)917 b(A)-36 b(t)546 b(times)h Fj(\034)709 b Fi(\030)561 b Fm(10,)576 b(t)-36 b(w)g(o)546 b(large)i(clusters)e(of)h(particles)g (are)g(formed,)2000 59997 y(one)443 b(on)h(eac)-36 b(h)443 b(side)h(of)g(the)f(piston.)607 b(When)443 b(one)h(cluster)f(b)36 b(om)-36 b(bards)443 b(the)g(piston,)i(the)e(other)g(mo)-36 b(v)g(es)2000 63207 y(a)g(w)g(a)g(y)491 b(from)f(it)f(and)g(hits)g(the) g(w)-36 b(all,)505 b(then)489 b(they)g(exc)-36 b(hange)490 b(their)f(roles.)747 b(The)490 b(clusters)f(ha)-36 b(v)g(e)489 b(sizes)2000 66418 y(of)530 b(ab)36 b(out)530 b(0.3{0.5)h(in)f(the)f Fj(y)577 b Fm(direction)529 b(and)g(the)g(particle)h(v)-36 b(elo)36 b(cities)531 b(range)f(from)g(ab)36 b(out)529 b(0.2)i(to)2000 69628 y(just)407 b(o)-36 b(v)g(er)409 b(1.)570 b(The)407 b(a)-36 b(v)g(erage)409 b(v)-36 b(elo)36 b(cit)-36 b(y)409 b(is)f(ab)36 b(out)408 b(0.5{0.6)h(and)f(so)g(the)f (clusters)g(hammer)g(the)g(piston)26350 75417 y(16)p eop %%Page: 17 17 17 16 bop 2000 5424 a Fm(p)36 b(erio)g(dically)434 b(with)e(p)36 b(erio)g(d)431 b(1.6{2.0,)k(whic)-36 b(h)432 b(is)g(close)h(to)f(the)f (exp)36 b(erimen)-36 b(tally)433 b(determined)e(p)36 b(erio)g(d)2000 8634 y(of)434 b(piston)g(oscillations,)h(see)f(ab)36 b(o)-36 b(v)g(e.)2000 50109 y @beginspecial 0 @llx 0 @lly 475 @urx 357 @ury 4750 @rwi @setspecial %%BeginDocument: hist3.eps %!PS-Adobe-3.1 EPSF-3.0 %%Title: hist3.eps %%Creator: Adobe Illustrator(R) 9.0 %%AI8_CreatorVersion: 9.0 %AI9_PrintingDataBegin %%For: Defula Defulizer %%CreationDate: 1/26/2002 %%CropBox: 0.000000 0.000000 475.000000 356.250000 %%BoundingBox: 0 0 475 357 %%HiResBoundingBox: 0.000000 0.000000 475.000000 356.250000 %%LanguageLevel: 2 %%DocumentData: Clean7Bit %%Pages: 1 %%DocumentNeededResources: %%DocumentSuppliedResources: procset Adobe_CoolType_Core 1.1 0 %%+ procset Adobe_AGM_Core 2.0 0 %%DocumentFonts: %%DocumentSuppliedFonts: %%PageOrder: Ascend %%DocumentCustomColors: %%CMYKCustomColor: %%RGBCustomColor: %%EndComments %%BeginDefaults %%EndDefaults %%BeginProlog %%BeginResource: procset Adobe_AGM_Core 2.0 0 %%Version: 2.0 0 %%Copyright: Copyright (C) 1997-1999 Adobe Systems, Inc. All Rights Reserved. systemdict /setpacking known { currentpacking true setpacking } if userdict /Adobe_AGM_Core 233 dict dup begin put /nd{ null def }bind def /Adobe_AGM_Core_Id /Adobe_AGM_Core_2.0_0 def /AGMCORE_str256 256 string def /AGMCORE_src256 256 string def /AGMCORE_dst64 64 string def /AGMCORE_srcLen nd /AGMCORE_save nd /AGMCORE_graphicsave nd /AGMCORE_imagestring0 nd /AGMCORE_imagestring1 nd /AGMCORE_imagestring2 nd /AGMCORE_imagestring3 nd /AGMCORE_imagestring4 nd /AGMCORE_imagestring5 nd /AGMCORE_c 0 def /AGMCORE_m 0 def /AGMCORE_y 0 def /AGMCORE_k 0 def /AGMCORE_mbuf () def /AGMCORE_ybuf () def /AGMCORE_kbuf () def /AGMCORE_gbuf () def /AGMCORE_bbuf () def /AGMCORE_cmykbuf 4 array def /AGMCORE_screen [currentscreen] cvx def /AGMCORE_tmp 0 def /AGMCORE_arg1 nd /AGMCORE_arg2 nd /AGMCORE_&setgray nd /AGMCORE_&image nd /AGMCORE_&colorimage nd /AGMCORE_&imagemask nd /AGMCORE_&setcolor nd /AGMCORE_&setcolorspace nd /AGMCORE_&&setcolorspace nd /AGMCORE_cyan_plate nd /AGMCORE_magenta_plate nd /AGMCORE_yellow_plate nd /AGMCORE_black_plate nd /AGMCORE_plate_ndx nd /AGMCORE_get_ink_data nd /AGMCORE_is_cmyk_sep nd /AGMCORE_in_rip_sep nd /AGMCORE_host_sep nd /AGMCORE_will_host_sep nd /AGMCORE_avoid_L2_sep_space nd /AGMCORE_composite_job nd /AGMCORE_producing_seps nd /AGMCORE_ccimage_exists nd /AGMCORE_ps_level -1 def /AGMCORE_ps_version -1 def /AGMCORE_environ_ok nd /AGMCORE_CSA_cache 0 dict def /AGMCORE_CSD_cache 0 dict def /AGMCORE_pattern_cache 0 dict def /AGMCORE_currentoverprint false def /AGMCORE_deltaX nd /AGMCORE_deltaY nd /AGMCORE_name nd /AGMCORE_sep_special nd /AGMCORE_ndx nd /AGMCORE_err_strings nd /AGMCORE_cur_err nd /AGMCORE_ovp nd /AGMCORE_CRD_cache where{ pop }{ /AGMCORE_CRD_cache 0 dict def }ifelse /bdf { bind def } bind def /xdf { exch def } def /ldf { load def } def /ddf { put } def /xddf { 3 -1 roll put } def /xpt { exch put } def /bdict { mark } def /edict { counttomark 2 idiv dup dict begin {def} repeat pop currentdict end }def /ps_level /languagelevel where{ pop languagelevel }{ 1 }ifelse def /level2 ps_level 2 ge def /level3 ps_level 3 ge def /ps_version {version cvr} stopped { -1 }if def /ndf { 1 index where{ pop pop pop }{ dup xcheck {bind}if def }ifelse } def /skip_image { has_color ne{ dup 256 idiv {currentfile AGMCORE_str256 readstring pop pop}repeat currentfile AGMCORE_str256 0 4 -1 roll 256 mod getinterval readstring pop pop }{ pop }ifelse } def /addprocs { 2{/exec load}repeat 3 1 roll [ 5 1 roll ] bind cvx } def /colorbuf { 0 1 2 index length 1 sub { dup 2 index exch get 255 exch sub 2 index 3 1 roll put } for } def /makereadonlyarray { /packedarray where {pop packedarray} {array astore readonly} ifelse } def /getspotfunction { AGMCORE_screen exch pop exch pop dup type /dicttype eq { dup /HalftoneType get 1 eq { /SpotFunction get } { dup /HalftoneType get 2 eq { /GraySpotFunction get } { pop {abs exch abs 2 copy add 1 gt {1 sub dup mul exch 1 sub dup mul add 1 sub} {dup mul exch dup mul add 1 exch sub}ifelse}bind } ifelse } ifelse } if } def /clp_npth { clip newpath } def /eoclp_npth { eoclip newpath } def /stkpath_clp_npth { strokepath clip newpath } def /stk_n_clp_npth { gsave stroke grestore clip newpath } def /npth_clp { newpath clip } def /graphic_setup { /AGMCORE_graphicsave save def concat 0 setgray 0 setlinecap 0 setlinejoin 1 setlinewidth [] 0 setdash 10 setmiterlimit newpath false setoverprint false setstrokeadjust userdict begin /showpage {} def mark } def /graphic_cleanup { cleartomark end AGMCORE_graphicsave restore } def /compose_error_msg { grestoreall initgraphics /Helvetica findfont 10 scalefont setfont /AGMCORE_deltaY 100 def /AGMCORE_deltaX 310 def /AGMCORE_arg2 xdf /AGMCORE_arg1 xdf clippath pathbbox newpath pop pop 36 add exch 36 add exch moveto 0 AGMCORE_deltaY rlineto AGMCORE_deltaX 0 rlineto 0 AGMCORE_deltaY neg rlineto AGMCORE_deltaX neg 0 rlineto closepath 0 AGMCORE_&setgray gsave 1 AGMCORE_&setgray fill grestore 1 setlinewidth gsave stroke grestore currentpoint AGMCORE_deltaY 15 sub add exch 8 add exch moveto /AGMCORE_deltaY 12 def /AGMCORE_tmp 0 def AGMCORE_err_strings exch get { dup 32 eq { pop AGMCORE_str256 0 AGMCORE_tmp getinterval dup (.) ne AGMCORE_arg1 0 lt and { pop } { stringwidth pop currentpoint pop add AGMCORE_deltaX 28 add gt { currentpoint AGMCORE_deltaY sub exch pop clippath pathbbox pop pop pop 44 add exch moveto } if AGMCORE_str256 0 AGMCORE_tmp getinterval show ( ) show } ifelse 0 1 AGMCORE_str256 length 1 sub { AGMCORE_str256 exch 0 put }for /AGMCORE_tmp 0 def } { dup 94 eq { pop AGMCORE_arg1 0 ge { AGMCORE_arg1 AGMCORE_str256 cvs dup /AGMCORE_tmp exch length def AGMCORE_str256 exch 0 exch putinterval AGMCORE_str256 0 AGMCORE_tmp getinterval stringwidth pop currentpoint pop add AGMCORE_deltaX 28 add gt { currentpoint AGMCORE_deltaY sub exch pop clippath pathbbox pop pop pop 44 add exch moveto } if AGMCORE_str256 0 AGMCORE_tmp getinterval show } { /AGMCORE_arg1 0 def } ifelse 0 1 AGMCORE_str256 length 1 sub { AGMCORE_str256 exch 0 put }for /AGMCORE_tmp 0 def AGMCORE_arg1 0 ne { /AGMCORE_arg1 AGMCORE_arg2 def } if } { AGMCORE_str256 exch AGMCORE_tmp exch put /AGMCORE_tmp AGMCORE_tmp 1 add def }ifelse } ifelse } forall } bdf level2{ /AGMCORE_map_reserved_ink_name { dup type /stringtype eq{ dup /Red eq{ pop (_Red_) }{ dup /Green eq{ pop (_Green_) }{ dup /Blue eq{ pop (_Blue_) }{ dup /Cyan eq{ pop (_Cyan_) }{ dup /Magenta eq{ pop (_Magenta_) }{ dup /Yellow eq{ pop (_Yellow_) }{ dup /Black eq{ pop (_Black_) }{ dup / eq{ pop (Process) }if }ifelse }ifelse }ifelse }ifelse }ifelse }ifelse }ifelse }if }def }if /doc_setup{ Adobe_AGM_Core begin /AGMCORE_will_host_separate xdf /AGMCORE_ps_version xdf /AGMCORE_ps_level xdf errordict /AGM_handleerror known not { errordict /AGM_handleerror errordict /handleerror get put errordict /handleerror { Adobe_AGM_Core begin $error /newerror get AGMCORE_cur_err null ne and { $error /newerror false put AGMCORE_cur_err /AGMCORE_bad_environ eq { /AGMCORE_bad_environ AGMCORE_ps_level AGMCORE_ps_version } { AGMCORE_cur_err 0 0 } ifelse compose_error_msg } if $error /newerror true put end errordict /AGM_handleerror get exec } bind put }if /AGMCORE_environ_ok ps_level AGMCORE_ps_level ge ps_version AGMCORE_ps_version ge and AGMCORE_ps_level -1 eq or def AGMCORE_environ_ok not {/AGMCORE_cur_err /AGMCORE_bad_environ def} if /AGMCORE_&setgray systemdict/setgray get def level2{ /AGMCORE_&setcolor systemdict/setcolor get def /AGMCORE_&setcolorspace systemdict/setcolorspace get def /AGMCORE_&&setcolorspace /setcolorspace ldf }if /AGMCORE_&image systemdict/image get def /AGMCORE_&imagemask systemdict/imagemask get def /colorimage where{ pop /AGMCORE_&colorimage /colorimage ldf }if /AGMCORE_in_rip_sep level2{ currentpagedevice/Separations 2 copy known{ get }{ pop pop false }ifelse }{ false }ifelse def level2 not{ /xput{ dup load dup length exch maxlength eq{ dup dup load dup length dup 0 eq {pop 1} if 2 mul dict copy def }if load begin def end }def }{ /xput{ load 3 1 roll put }def }ifelse /AGMCORE_gstate_known{ where{ /Adobe_AGM_Core_Id known }{ false }ifelse }ndf /AGMCORE_GSTATE AGMCORE_gstate_known not{ /AGMCORE_GSTATE 21 dict def /AGMCORE_tmpmatrix matrix def /AGMCORE_gstack 32 array def /AGMCORE_gstackptr 0 def /AGMCORE_gstacksaveptr 0 def /AGMCORE_gstackframekeys 7 def /AGMCORE_&gsave /gsave ldf /AGMCORE_&grestore /grestore ldf /AGMCORE_&grestoreall /grestoreall ldf /AGMCORE_&save /save ldf /AGMCORE_gdictcopy { begin { def } forall end }def /AGMCORE_gput { AGMCORE_gstack AGMCORE_gstackptr get 3 1 roll put }def /AGMCORE_gget { AGMCORE_gstack AGMCORE_gstackptr get exch get }def /gsave { AGMCORE_&gsave AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gstackptr 1 add dup 32 ge {limitcheck} if Adobe_AGM_Core exch /AGMCORE_gstackptr exch put AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gdictcopy }def /grestore { AGMCORE_&grestore AGMCORE_gstackptr 1 sub dup AGMCORE_gstacksaveptr lt {1 add} if Adobe_AGM_Core exch /AGMCORE_gstackptr exch put }def /grestoreall { AGMCORE_&grestoreall Adobe_AGM_Core /AGMCORE_gstackptr AGMCORE_gstacksaveptr put }def /save { AGMCORE_&save AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gstackptr 1 add dup 32 ge {limitcheck} if Adobe_AGM_Core begin /AGMCORE_gstackptr exch def /AGMCORE_gstacksaveptr AGMCORE_gstackptr def end AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gdictcopy }def 0 1 AGMCORE_gstack length 1 sub { AGMCORE_gstack exch AGMCORE_gstackframekeys dict put } for }if /currentcmykcolor [0 0 0 0] AGMCORE_gput /currentstrokeadjust false AGMCORE_gput /currentcolorspace [/DeviceGray] AGMCORE_gput /sep_tint 0 AGMCORE_gput /sep_colorspace_dict null AGMCORE_gput /indexed_colorspace_dict null AGMCORE_gput /currentcolor_intent () AGMCORE_gput end }def /page_setup { Adobe_AGM_Core begin /setcmykcolor { 4 copy AGMCORE_cmykbuf astore /currentcmykcolor exch AGMCORE_gput 1 sub 4 1 roll 3 { 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor pop }ndf /AGMCORE_ccimage_exists /customcolorimage where {pop true}{false} ifelse def /currentcmykcolor { /currentcmykcolor AGMCORE_gget aload pop }ndf /setoverprint { pop }ndf /currentoverprint { false }ndf /AGMCORE_deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /AGMCORE_cyan_plate 1 0 0 0 test_cmyk_color_plate def /AGMCORE_magenta_plate 0 1 0 0 test_cmyk_color_plate def /AGMCORE_yellow_plate 0 0 1 0 test_cmyk_color_plate def /AGMCORE_black_plate 0 0 0 1 test_cmyk_color_plate def /AGMCORE_plate_ndx AGMCORE_cyan_plate{ 0 }{ AGMCORE_magenta_plate{ 1 }{ AGMCORE_yellow_plate{ 2 }{ AGMCORE_black_plate{ 3 }{ 4 }ifelse }ifelse }ifelse }ifelse def /AGMCORE_composite_job AGMCORE_cyan_plate AGMCORE_magenta_plate and AGMCORE_yellow_plate and AGMCORE_black_plate and def /AGMCORE_producing_seps AGMCORE_composite_job not AGMCORE_in_rip_sep or def /AGMCORE_host_sep AGMCORE_producing_seps AGMCORE_in_rip_sep not and def /AGM_preserve_spots /AGM_preserve_spots where{ pop AGM_preserve_spots }{ systemdict/setdistillerparams known product (Adobe PostScript Parser) ne and AGMCORE_producing_seps or }ifelse def AGMCORE_host_sep AGMCORE_will_host_separate not and { /AGMCORE_cur_err /AGMCORE_color_space_onhost_seps def AGMCORE_color_space_onhost_seps }if /AGMCORE_avoid_L2_sep_space version cvr 2012 lt level2 and AGMCORE_producing_seps not and def /AGMCORE_is_cmyk_sep AGMCORE_cyan_plate AGMCORE_magenta_plate or AGMCORE_yellow_plate or AGMCORE_black_plate or def /AGM_avoid_0_cmyk where{ pop AGM_avoid_0_cmyk }{ AGM_preserve_spots }ifelse { /setcmykcolor[ {4 copy add add add 0 eq currentoverprint and{pop 0.0005}if}/exec cvx /setcmykcolor load dup type/operatortype ne{/exec cvx}if ]cvx def }if AGMCORE_host_sep{ /AGMCORE_get_ink_data AGMCORE_cyan_plate{ {pop pop pop} }{ AGMCORE_magenta_plate{ {4 3 roll pop pop pop} }{ AGMCORE_yellow_plate{ {4 2 roll pop pop pop} }{ {4 1 roll pop pop pop} }ifelse }ifelse }ifelse def }if AGMCORE_in_rip_sep{ /setcustomcolor { exch aload pop dup 7 1 roll inRip_spot_has_ink not { 4 {4 index mul 4 1 roll} repeat /DeviceCMYK setcolorspace 6 -2 roll pop pop }{ Adobe_AGM_Core begin /AGMCORE_k xdf /AGMCORE_y xdf /AGMCORE_m xdf /AGMCORE_c xdf end [/Separation 4 -1 roll /DeviceCMYK {dup AGMCORE_c mul exch dup AGMCORE_m mul exch dup AGMCORE_y mul exch AGMCORE_k mul} ] setcolorspace }ifelse setcolor }ndf /setseparationgray { [/Separation (All) /DeviceGray {}] setcolorspace_opt 1 exch sub setcolor }ndf }{ /setseparationgray { AGMCORE_&setgray }ndf }ifelse /findcmykcustomcolor { 5 makereadonlyarray }ndf /setcustomcolor { exch aload pop pop 4 {4 index mul 4 1 roll} repeat setcmykcolor pop }ndf /has_color /colorimage where{ AGMCORE_producing_seps{ pop true }{ systemdict eq }ifelse }{ false }ifelse def /map_index { 1 index mul exch getinterval {255 div} forall }def level2{ /mo /moveto ldf /ln /lineto ldf /cv /curveto ldf /knockout_unitsq { 1 setgray 0 0 1 1 rectfill }def /level2ScreenFreq{ begin 60 HalftoneType 1 eq{ pop Frequency }if HalftoneType 2 eq{ pop GrayFrequency }if HalftoneType 5 eq{ pop Default level2ScreenFreq }if end }def /currentScreenFreq{ currenthalftone level2ScreenFreq }def /invert_image_samples { Adobe_AGM_Core/AGMCORE_tmp Decode length ddf /Decode [ Decode 1 get Decode 0 get] def }def /knockout_image_samples { Operator/imagemask ne{ /Decode [1 1] def }if }def /get_gstate { AGMCORE_GSTATE begin /AGMCORE_GSTATE_ctm AGMCORE_tmpmatrix currentmatrix def /AGMCORE_GSTATE_clr_spc currentcolorspace def /AGMCORE_GSTATE_clr_indx 0 def /AGMCORE_GSTATE_clr_comps 12 array def mark currentcolor counttomark {AGMCORE_GSTATE_clr_comps AGMCORE_GSTATE_clr_indx 3 -1 roll put /AGMCORE_GSTATE_clr_indx AGMCORE_GSTATE_clr_indx 1 add def} repeat pop /AGMCORE_GSTATE_fnt rootfont def /AGMCORE_GSTATE_lw currentlinewidth def /AGMCORE_GSTATE_lc currentlinecap def /AGMCORE_GSTATE_lj currentlinejoin def /AGMCORE_GSTATE_ml currentmiterlimit def currentdash /AGMCORE_GSTATE_do xdf /AGMCORE_GSTATE_da xdf /AGMCORE_GSTATE_sa currentstrokeadjust def /AGMCORE_GSTATE_clr_rnd currentcolorrendering def /AGMCORE_GSTATE_op currentoverprint def /AGMCORE_GSTATE_bg currentblackgeneration cvlit def /AGMCORE_GSTATE_ucr currentundercolorremoval cvlit def currentcolortransfer cvlit /AGMCORE_GSTATE_gy_xfer xdf cvlit /AGMCORE_GSTATE_b_xfer xdf cvlit /AGMCORE_GSTATE_g_xfer xdf cvlit /AGMCORE_GSTATE_r_xfer xdf /AGMCORE_GSTATE_ht currenthalftone def /AGMCORE_GSTATE_flt currentflat def end }ndf /set_gstate { AGMCORE_GSTATE begin AGMCORE_GSTATE_ctm setmatrix AGMCORE_GSTATE_clr_spc setcolorspace AGMCORE_GSTATE_clr_indx {AGMCORE_GSTATE_clr_comps AGMCORE_GSTATE_clr_indx 1 sub get /AGMCORE_GSTATE_clr_indx AGMCORE_GSTATE_clr_indx 1 sub def} repeat setcolor AGMCORE_GSTATE_fnt setfont AGMCORE_GSTATE_lw setlinewidth AGMCORE_GSTATE_lc setlinecap AGMCORE_GSTATE_lj setlinejoin AGMCORE_GSTATE_ml setmiterlimit AGMCORE_GSTATE_da AGMCORE_GSTATE_do setdash AGMCORE_GSTATE_sa setstrokeadjust AGMCORE_GSTATE_clr_rnd setcolorrendering AGMCORE_GSTATE_op setoverprint AGMCORE_GSTATE_bg cvx setblackgeneration AGMCORE_GSTATE_ucr cvx setundercolorremoval AGMCORE_GSTATE_r_xfer cvx AGMCORE_GSTATE_g_xfer cvx AGMCORE_GSTATE_b_xfer cvx AGMCORE_GSTATE_gy_xfer cvx setcolortransfer AGMCORE_GSTATE_ht /HalftoneType get dup 9 eq exch 100 eq or { currenthalftone /HalftoneType get AGMCORE_GSTATE_ht /HalftoneType get ne { mark AGMCORE_GSTATE_ht {sethalftone} stopped cleartomark } if }{ AGMCORE_GSTATE_ht sethalftone } ifelse AGMCORE_GSTATE_flt setflat end }ndf AGMCORE_producing_seps not{ /setcolorspace where{ /Adobe_AGM_Core_Id known not }{ true }ifelse { /setcolorspace { dup type dup /arraytype eq exch /packedarraytype eq or{ dup 0 get dup /Separation eq{ pop [ exch {} forall ] dup dup 1 get AGMCORE_map_reserved_ink_name 1 exch put }{ /DeviceN eq { [ exch {} forall ] dup dup 1 get [ exch {AGMCORE_map_reserved_ink_name} forall ] 1 exch put }if }ifelse }if AGMCORE_&&setcolorspace }def }if }if }{ /adj { currentstrokeadjust{ transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform }if }def /mo{ adj moveto }def /ln{ adj lineto }def /cv{ 6 2 roll adj 6 2 roll adj 6 2 roll adj curveto }def /knockout_unitsq { 1 setgray 8 8 1 [8 0 0 8 0 0] {} image }def /currentstrokeadjust{ /currentstrokeadjust AGMCORE_gget }def /setstrokeadjust{ /currentstrokeadjust exch AGMCORE_gput }def /currentScreenFreq{ currentscreen pop pop }def /invert_image_samples { {1 exch sub} currenttransfer addprocs settransfer }def /knockout_image_samples { { pop 1 } currenttransfer addprocs settransfer }def /setcolorspace { /currentcolorspace exch AGMCORE_gput } def /currentcolorspace { /currentcolorspace AGMCORE_gget } def /n_color_components { dup type /arraytype eq{ 0 get }if dup /DeviceGray eq{ pop 1 }{ /DeviceCMYK eq{ 4 }{ 3 }ifelse }ifelse } def /setcolor_devicecolor { dup type /arraytype eq{ 0 get }if dup /DeviceGray eq{ pop setgray }{ /DeviceCMYK eq{ setcmykcolor }{ setrgbcolor }ifelse }ifelse }def /setcolor { currentcolorspace 0 get dup /DeviceGray ne{ dup /DeviceCMYK ne{ dup /DeviceRGB ne{ dup /Separation eq{ pop currentcolorspace 3 get exec currentcolorspace 2 get }{ dup /Indexed eq{ pop currentcolorspace 3 get dup type /stringtype eq{ currentcolorspace 1 get n_color_components 3 -1 roll map_index }{ exec }ifelse currentcolorspace 1 get }{ /AGMCORE_cur_err /AGMCORE_invalid_color_space def AGMCORE_invalid_color_space }ifelse }ifelse }if }if }if setcolor_devicecolor } def }ifelse /op /setoverprint ldf /lw /setlinewidth ldf /lc /setlinecap ldf /lj /setlinejoin ldf /ml /setmiterlimit ldf /dsh /setdash ldf /sadj /setstrokeadjust ldf /gry /setgray ldf /rgb /setrgbcolor ldf /cmyk /setcmykcolor ldf /sep /setsepcolor ldf /idx /setindexedcolor ldf /colr /setcolor ldf /csacrd /set_csa_crd ldf /sepcs /setsepcolorspace ldf /idxcs /setindexedcolorspace ldf /cp /closepath ldf /clp /clp_npth ldf /eclp /eoclp_npth ldf /spclp /stkpath_clp_npth ldf /f /fill ldf /ef /eofill ldf /s /stroke ldf /sclp /stk_n_clp_npth ldf /nclp /npth_clp ldf /img /imageormask ldf /sepimg /sep_imageormask ldf /idximg /indexed_imageormask ldf /gset /graphic_setup ldf /gcln /graphic_cleanup ldf currentdict{ dup xcheck 1 index type dup /arraytype eq exch /packedarraytype eq or and { bind }if def }forall }def /page_trailer { end }def /unload{ systemdict/languagelevel known{ systemdict/languagelevel get 2 ge{ userdict/Adobe_AGM_Core 2 copy known{ undef }{ pop pop }ifelse }if }if }def /doc_trailer{ }def systemdict /findcolorrendering known{ /findcolorrendering systemdict /findcolorrendering get def }if systemdict /setcolorrendering known{ /setcolorrendering systemdict /setcolorrendering get def }if /test_cmyk_color_plate { gsave setcmykcolor currentgray 1 ne grestore }def /inRip_spot_has_ink { Adobe_AGM_Core/AGMCORE_name xddf false currentpagedevice/SeparationColorNames get{ AGMCORE_name eq or }forall }def /current_ink { dup length 0 eq{ pop true }{ Adobe_AGM_Core/ink_result false put { dup /ProcessCyan eq{ AGMCORE_cyan_plate ink_result or Adobe_AGM_Core/ink_result xddf }{ dup /ProcessMagenta eq{ AGMCORE_magenta_plate ink_result or Adobe_AGM_Core/ink_result xddf }{ dup /ProcessYellow eq{ AGMCORE_yellow_plate ink_result or Adobe_AGM_Core/ink_result xddf }{ dup /ProcessBlack eq{ AGMCORE_black_plate ink_result or Adobe_AGM_Core/ink_result xddf }{ dup /sep_colorspace_dict AGMCORE_gget dup null eq{ pop false ink_result or Adobe_AGM_Core/ink_result xddf }{ /Name get eq{ 1 setsepcolor currentgray 1 ne ink_result or Adobe_AGM_Core/ink_result xddf }{ false ink_result or Adobe_AGM_Core/ink_result xddf }ifelse }ifelse }ifelse }ifelse }ifelse }ifelse pop } forall ink_result }ifelse }def /map255_to_range { 1 index sub 3 -1 roll 255 div mul add }def /set_csa_crd { /sep_colorspace_dict null AGMCORE_gput begin CSA map_csa setcolorspace_opt set_crd end } def /setsepcolor { /sep_colorspace_dict AGMCORE_gget begin dup /sep_tint exch AGMCORE_gput TintProc end } def /sep_colorspace_proc { Adobe_AGM_Core/AGMCORE_tmp xddf /sep_colorspace_dict AGMCORE_gget begin currentdict/Components known{ Components aload pop TintMethod/Lab eq{ 2 {AGMCORE_tmp mul NComponents 1 roll} repeat LMax sub AGMCORE_tmp mul LMax add NComponents 1 roll }{ TintMethod/Subtractive eq{ NComponents{ AGMCORE_tmp mul NComponents 1 roll }repeat }{ NComponents{ 1 sub AGMCORE_tmp mul 1 add NComponents 1 roll } repeat }ifelse }ifelse }{ ColorLookup AGMCORE_tmp ColorLookup length 1 sub mul round cvi get aload pop }ifelse end } def /sep_colorspace_gray_proc { Adobe_AGM_Core/AGMCORE_tmp xddf /sep_colorspace_dict AGMCORE_gget begin GrayLookup AGMCORE_tmp GrayLookup length 1 sub mul round cvi get end } def /sep_proc_name { dup 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or level2 not and has_color not and{ pop [/DeviceGray] /sep_colorspace_gray_proc }{ /sep_colorspace_proc }ifelse } def /setsepcolorspace { dup /sep_colorspace_dict exch AGMCORE_gput begin /MappedCSA CSA map_csa def Adobe_AGM_Core/AGMCORE_sep_special Name dup () eq exch (All) eq or ddf AGMCORE_avoid_L2_sep_space{ [/Indexed MappedCSA sep_proc_name 255 exch { 255 div } /exec cvx 3 -1 roll [ 4 1 roll load /exec cvx ] cvx ] setcolorspace_opt /TintProc { 255 mul setcolor }bdf }{ MappedCSA 0 get /DeviceCMYK eq currentdict/Components known and AGMCORE_sep_special not and{ /TintProc [ Components aload pop Name findcmykcustomcolor /exch cvx /setcustomcolor cvx ] cvx bdf }{ AGMCORE_host_sep Name (All) eq and{ /TintProc { 1 exch sub setseparationgray }bdf }{ AGMCORE_in_rip_sep MappedCSA 0 get /DeviceCMYK eq and AGMCORE_host_sep or Name () eq and{ /TintProc [ MappedCSA sep_proc_name exch 0 get /DeviceCMYK eq{ cvx /setcmykcolor cvx }{ cvx /setgray cvx }ifelse ] cvx bdf }{ AGMCORE_producing_seps MappedCSA 0 get dup /DeviceCMYK eq exch /DeviceGray eq or and AGMCORE_sep_special not and{ /TintProc [ /dup cvx MappedCSA sep_proc_name cvx exch 0 get /DeviceGray eq{ 1 /exch cvx /sub cvx 0 0 0 4 -1 /roll cvx }if /Name cvx /findcmykcustomcolor cvx /exch cvx AGMCORE_host_sep{ AGMCORE_is_cmyk_sep }{ Name inRip_spot_has_ink not }ifelse { /pop cvx 1 }if /setcustomcolor cvx ] cvx bdf }{ /TintProc /setcolor ldf [/Separation Name MappedCSA sep_proc_name load ] setcolorspace_opt }ifelse }ifelse }ifelse }ifelse }ifelse set_crd 1 setsepcolor end } def /setindexedcolorspace { dup /indexed_colorspace_dict exch AGMCORE_gput begin /MappedCSA CSA map_csa def AGMCORE_host_sep level2 not and{ 0 0 0 0 setcmykcolor }{ [/Indexed MappedCSA level2 not has_color not and{ dup 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or{ pop [/DeviceGray] }if HiVal GrayLookup }{ HiVal currentdict/RangeArray known{ { /indexed_colorspace_dict AGMCORE_gget begin Lookup exch dup HiVal gt{ pop HiVal }if NComponents mul NComponents getinterval {} forall NComponents 1 sub -1 0{ RangeArray exch 2 mul 2 getinterval aload pop map255_to_range NComponents 1 roll }for end } bind }{ Lookup }ifelse }ifelse ] setcolorspace_opt set_crd }ifelse end }def /setindexedcolor { AGMCORE_host_sep{ /indexed_colorspace_dict AGMCORE_gget/Lookup get 4 3 -1 roll map_index setcmykcolor }{ setcolor }ifelse } def /imageormask_sys { begin save mark level2{ currentdict Operator /imagemask eq{ AGMCORE_&imagemask }{ AGMCORE_&image }ifelse }{ Width Height Operator /imagemask eq{ Decode 0 get 1 eq Decode 1 get 0 eq and ImageMatrix /DataSource load AGMCORE_&imagemask }{ BitsPerComponent ImageMatrix /DataSource load AGMCORE_&image }ifelse }ifelse cleartomark restore end }def /overprint_plate { currentoverprint{ 0 get dup /DeviceGray eq{ pop AGMCORE_black_plate not }{ /DeviceCMYK eq{ AGMCORE_is_cmyk_sep not }if }ifelse }{ false }ifelse }def /rdline { currentfile AGMCORE_str256 readline pop } def /rdcmntline { currentfile AGMCORE_str256 readline pop (%) anchorsearch {pop} if } def /filter_cmyk { dup type /filetype ne{ 0 () /SubFileDecode filter }if [ exch { AGMCORE_src256 readstring pop dup length /AGMCORE_srcLen exch def /AGMCORE_ndx 0 def AGMCORE_plate_ndx 4 AGMCORE_srcLen 1 sub{ 1 index exch get AGMCORE_dst64 AGMCORE_ndx 3 -1 roll put /AGMCORE_ndx AGMCORE_ndx 1 add def }for pop AGMCORE_dst64 0 AGMCORE_ndx getinterval } bind /exec cvx ] cvx } def /imageormask { begin SkipImageProc not{ save mark level2 AGMCORE_host_sep not and{ currentdict Operator /imagemask eq{ imagemask }{ AGMCORE_in_rip_sep currentoverprint and currentcolorspace 0 get /DeviceGray eq and{ [/Separation /Black /DeviceGray {}] setcolorspace /Decode [ Decode 1 get Decode 0 get ] def }if image }ifelse }{ Width Height Operator /imagemask eq{ Decode 0 get 1 eq Decode 1 get 0 eq and ImageMatrix /DataSource load AGMCORE_host_sep{ currentgray 1 ne{ currentdict imageormask_sys }{ currentoverprint not{ 1 AGMCORE_&setgray knockout_image_samples currentdict imageormask_sys }{ nulldevice currentdict imageormask_sys }ifelse }ifelse }{ imagemask }ifelse }{ BitsPerComponent ImageMatrix MultipleDataSources{ 0 1 NComponents 1 sub{ DataSource exch get }for }{ /DataSource load }ifelse Operator /colorimage eq{ AGMCORE_host_sep{ MultipleDataSources level2 or NComponents 4 eq and{ MultipleDataSources{ 4 {pop} repeat /DataSource [ DataSource 0 get /exec cvx DataSource 1 get /exec cvx DataSource 2 get /exec cvx DataSource 3 get /exec cvx /AGMCORE_get_ink_data cvx ] cvx def }{ /DataSource /DataSource load filter_cmyk 0 () /SubFileDecode filter def }ifelse /Decode [ Decode 0 get Decode 1 get ] def /MultipleDataSources false def /NComponents 1 def /Operator /image def AGMCORE_is_cmyk_sep{ currentoverprint InksUsed current_ink not and{ nulldevice }{ invert_image_samples }ifelse }{ currentoverprint not{ knockout_image_samples }{ nulldevice }ifelse }ifelse 1 AGMCORE_&setgray currentdict imageormask_sys }{ currentcolortransfer {pop 1} exch addprocs 4 1 roll {pop 1} exch addprocs 4 1 roll {pop 1} exch addprocs 4 1 roll {pop 1} exch addprocs 4 1 roll setcolortransfer MultipleDataSources NComponents AGMCORE_&colorimage }ifelse }{ true NComponents colorimage }ifelse }{ Operator /image eq{ AGMCORE_host_sep{ HostSepColorImage{ invert_image_samples }{ AGMCORE_black_plate not{ currentoverprint not{ knockout_image_samples }{ nulldevice }ifelse }if }ifelse 1 AGMCORE_&setgray currentdict imageormask_sys }{ image }ifelse }{ Operator/knockout eq{ pop pop pop pop pop currentoverprint InksUsed current_ink not and{ }{ currentcolorspace overprint_plate not{ knockout_unitsq }if }ifelse }if }ifelse }ifelse }ifelse }ifelse cleartomark restore }if end }def /tint_image_to_color { begin Width Height BitsPerComponent ImageMatrix /DataSource load end Adobe_AGM_Core begin /AGMCORE_mbuf 0 string def /AGMCORE_ybuf 0 string def /AGMCORE_kbuf 0 string def { colorbuf dup length AGMCORE_mbuf length ne { dup length dup dup /AGMCORE_mbuf exch string def /AGMCORE_ybuf exch string def /AGMCORE_kbuf exch string def } if dup AGMCORE_mbuf copy AGMCORE_ybuf copy AGMCORE_kbuf copy pop } addprocs {AGMCORE_mbuf}{AGMCORE_ybuf}{AGMCORE_kbuf} true 4 colorimage end } def /sep_imageormask_lev1 { begin MappedCSA 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or has_color not and{ { 255 mul round cvi GrayLookup exch get } currenttransfer addprocs settransfer currentdict imageormask }{ /sep_colorspace_dict AGMCORE_gget/Components known{ MappedCSA 0 get /DeviceCMYK eq{ Components aload pop }{ 0 0 0 Components aload pop 1 exch sub }ifelse Adobe_AGM_Core/AGMCORE_k xddf Adobe_AGM_Core/AGMCORE_y xddf Adobe_AGM_Core/AGMCORE_m xddf Adobe_AGM_Core/AGMCORE_c xddf AGMCORE_y 0.0 eq AGMCORE_m 0.0 eq and AGMCORE_c 0.0 eq and{ {AGMCORE_k mul 1 exch sub} currenttransfer addprocs settransfer currentdict imageormask }{ currentcolortransfer {AGMCORE_k mul 1 exch sub} exch addprocs 4 1 roll {AGMCORE_y mul 1 exch sub} exch addprocs 4 1 roll {AGMCORE_m mul 1 exch sub} exch addprocs 4 1 roll {AGMCORE_c mul 1 exch sub} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }ifelse }{ MappedCSA 0 get /DeviceGray eq { {255 mul round cvi ColorLookup exch get 0 get} currenttransfer addprocs settransfer currentdict imageormask }{ MappedCSA 0 get /DeviceCMYK eq { currentcolortransfer {255 mul round cvi ColorLookup exch get 3 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 2 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 1 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 0 get 1 exch sub} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }{ currentcolortransfer {pop 1} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 2 get} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 1 get} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 0 get} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }ifelse }ifelse }ifelse }ifelse end }def /sep_image_lev1_sep { begin /sep_colorspace_dict AGMCORE_gget/Components known{ Components aload pop Adobe_AGM_Core/AGMCORE_k xddf Adobe_AGM_Core/AGMCORE_y xddf Adobe_AGM_Core/AGMCORE_m xddf Adobe_AGM_Core/AGMCORE_c xddf {AGMCORE_c mul 1 exch sub} {AGMCORE_m mul 1 exch sub} {AGMCORE_y mul 1 exch sub} {AGMCORE_k mul 1 exch sub} }{ {255 mul round cvi ColorLookup exch get 0 get 1 exch sub} {255 mul round cvi ColorLookup exch get 1 get 1 exch sub} {255 mul round cvi ColorLookup exch get 2 get 1 exch sub} {255 mul round cvi ColorLookup exch get 3 get 1 exch sub} }ifelse AGMCORE_get_ink_data currenttransfer addprocs settransfer currentdict imageormask_sys end }def /sep_imageormask { /sep_colorspace_dict AGMCORE_gget begin /MappedCSA CSA map_csa def begin SkipImageProc not{ save mark AGMCORE_avoid_L2_sep_space{ /Decode [ Decode 0 get 255 mul Decode 1 get 255 mul ] def }if AGMCORE_ccimage_exists MappedCSA 0 get /DeviceCMYK eq and currentdict/Components known and Name () ne and Name (All) ne and Operator /image eq and AGMCORE_producing_seps not and level2 not and { Width Height BitsPerComponent ImageMatrix [ /DataSource load /exec cvx { 0 1 2 index length 1 sub{ 1 index exch 2 copy get 255 xor put }for } /exec cvx ] cvx bind MappedCSA 0 get /DeviceCMYK eq{ Components aload pop }{ 0 0 0 Components aload pop 1 exch sub }ifelse Name findcmykcustomcolor customcolorimage }{ AGMCORE_producing_seps not{ level2{ AGMCORE_avoid_L2_sep_space not currentcolorspace 0 get /Separation ne and{ [/Separation Name MappedCSA sep_proc_name load ] setcolorspace_opt /sep_tint AGMCORE_gget setcolor }if currentdict imageormask }{ currentdict Operator /imagemask eq{ imageormask }{ sep_imageormask_lev1 }ifelse }ifelse }{ AGMCORE_host_sep{ Operator/knockout eq{ currentoverprint InksUsed current_ink not and{ }{ currentdict/ImageMatrix get concat knockout_unitsq }ifelse }{ currentgray 1 ne{ AGMCORE_is_cmyk_sep Name (All) ne and{ level2{ [ /Separation Name [/DeviceGray] { sep_colorspace_proc AGMCORE_get_ink_data 1 exch sub } bind ] AGMCORE_&setcolorspace /sep_tint AGMCORE_gget AGMCORE_&setcolor currentdict imageormask_sys }{ currentdict Operator /imagemask eq{ imageormask_sys }{ sep_image_lev1_sep }ifelse }ifelse }{ Operator/imagemask ne{ invert_image_samples }if currentdict imageormask_sys }ifelse }{ currentoverprint not Name (All) eq or{ knockout_image_samples }{ nulldevice }ifelse currentdict imageormask_sys }ifelse }ifelse }{ currentcolorspace 0 get /Separation ne{ [/Separation Name MappedCSA sep_proc_name load ] setcolorspace_opt /sep_tint AGMCORE_gget setcolor }if currentoverprint MappedCSA 0 get /DeviceCMYK eq and Name inRip_spot_has_ink not and Name (All) ne and { imageormask_l2_overprint }{ currentdict imageormask }ifelse }ifelse }ifelse }ifelse cleartomark restore }if end end }def /modify_halftone_xfer { currenthalftone dup length dict copy begin currentdict 2 index known{ 1 index load dup length dict copy begin currentdict/TransferFunction known{ /TransferFunction load }{ currenttransfer }ifelse addprocs /TransferFunction xdf currentdict end def currentdict end sethalftone }{ currentdict/TransferFunction known{ /TransferFunction load }{ currenttransfer }ifelse addprocs /TransferFunction xdf currentdict end sethalftone pop }ifelse }def /read_image_file { AGMCORE_imagefile 0 setfileposition dup /DataSource {AGMCORE_imagefile AGMCORE_imbuf readstring pop} put exch load exec }def /write_image_file { { (AGMCORE_imagefile) (w+) file } stopped{ false }{ Adobe_AGM_Core/AGMCORE_imagefile xddf Adobe_AGM_Core/AGMCORE_imbuf Width BitsPerComponent mul 7 add 8 idiv string ddf 1 1 Height { pop DataSource dup type /filetype eq{ AGMCORE_imbuf readstring pop }{ exec } ifelse AGMCORE_imagefile exch writestring }for true }ifelse }def /imageormask_l2_overprint { write_image_file{ currentcmykcolor 0 ne{ [/Separation /Black /DeviceGray {}] setcolorspace gsave /Black [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 1 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Yellow /DeviceGray {}] setcolorspace gsave /Yellow [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 2 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Magenta /DeviceGray {}] setcolorspace gsave /Magenta [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 3 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Cyan /DeviceGray {}] setcolorspace gsave /Cyan [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore } if AGMCORE_imagefile closefile (AGMCORE_imagefile) deletefile }{ currentdict imageormask }ifelse } def /indexed_imageormask { begin save mark currentdict AGMCORE_host_sep{ Operator/knockout eq{ /indexed_colorspace_dict AGMCORE_gget /CSA get map_csa overprint_plate not{ knockout_unitsq }if }{ AGMCORE_is_cmyk_sep{ Operator /imagemask eq{ imageormask_sys }{ level2{ indexed_image_lev2_sep }{ indexed_image_lev1_sep }ifelse }ifelse }{ currentoverprint not{ knockout_image_samples imageormask_sys }{ nulldevice currentdict imageormask_sys }ifelse }ifelse }ifelse }{ level2{ imageormask }{ Operator /imagemask eq{ imageormask }{ indexed_imageormask_lev1 }ifelse }ifelse }ifelse cleartomark restore end }def /indexed_imageormask_lev1 { /indexed_colorspace_dict AGMCORE_gget begin begin currentdict MappedCSA 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or has_color not and{ {HiVal mul round cvi GrayLookup exch get HiVal div} currenttransfer addprocs settransfer imageormask }{ MappedCSA 0 get /DeviceGray eq { {HiVal mul round cvi Lookup exch get HiVal div} currenttransfer addprocs settransfer imageormask }{ MappedCSA 0 get /DeviceCMYK eq { currentcolortransfer {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll setcolortransfer tint_image_to_color }{ currentcolortransfer {pop 1} exch addprocs 4 1 roll {3 mul HiVal mul round cvi 2 add Lookup exch get HiVal div} exch addprocs 4 1 roll {3 mul HiVal mul round cvi 1 add Lookup exch get HiVal div} exch addprocs 4 1 roll {3 mul HiVal mul round cvi Lookup exch get HiVal div} exch addprocs 4 1 roll setcolortransfer tint_image_to_color }ifelse }ifelse }ifelse end end }def /indexed_image_lev1_sep { /indexed_colorspace_dict AGMCORE_gget begin begin {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub} AGMCORE_get_ink_data currenttransfer addprocs settransfer currentdict imageormask_sys end end }def /indexed_image_lev2_sep { /indexed_colorspace_dict AGMCORE_gget begin begin currentcolorspace dup 1 /DeviceGray put dup 3 [ currentcolorspace 3 get { exch 4 mul 4 getinterval {} forall AGMCORE_get_ink_data 255 div 1 exch sub } /exec cvx ] cvx put setcolorspace currentdict Operator /imagemask eq{ AGMCORE_&imagemask }{ AGMCORE_&image }ifelse end end }def /add_csa { Adobe_AGM_Core begin /AGMCORE_CSA_cache xput end }def /map_csa { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_CSA_cache get exch get }if }def /add_csd { Adobe_AGM_Core begin /AGMCORE_CSD_cache xput end }def /get_csd { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_CSD_cache get exch get }if }def /add_pattern { Adobe_AGM_Core begin /AGMCORE_pattern_cache xput end }def /get_pattern { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_pattern_cache get exch get }if }def /set_pattern { dup /PatternType get 1 eq{ dup /PaintType get 1 eq{ false op [/DeviceGray] setcolorspace 0 setgray }if }if setpattern }def /setcolorspace_opt { dup currentcolorspace eq{ pop }{ setcolorspace }ifelse }def /updatecolorrendering { currentcolorrendering/Intent known{ currentcolorrendering/Intent get }{ null }ifelse Intent ne{ false Intent AGMCORE_CRD_cache { exch pop begin dup Intent eq{ currentdict setcolorrendering_opt end exch pop true exch exit }if end } forall pop not{ systemdict /findcolorrendering known{ Intent findcolorrendering pop /ColorRendering findresource dup length dict copy setcolorrendering_opt }if }if }if } def /add_crd { AGMCORE_CRD_cache 3 1 roll put }def /set_crd { AGMCORE_host_sep not level2 and{ currentdict/CRD known{ AGMCORE_CRD_cache CRD get dup null ne{ setcolorrendering_opt }{ pop }ifelse }{ currentdict/Intent known{ updatecolorrendering }if }ifelse }if }def /setcolorrendering_opt { dup currentcolorrendering eq{ pop }{ begin /Intent Intent def currentdict end setcolorrendering }ifelse }def /OPIimage { dup type /dicttype ne{ 10 dict begin /DataSource xdf /ImageMatrix xdf /BitsPerComponent xdf /Height xdf /Width xdf /MultipleDataSources false def /NComponents 1 def /ImageType 1 def /Decode [0 1 def] /SkipImageProc {false} def currentdict end }if dup begin /HostSepColorImage false def currentdict/Decode known not{ /Decode [ 0 currentcolorspace 0 get /Indexed eq{ 2 BitsPerComponent exp 1 sub }{ 1 }ifelse ] def }if currentdict/Operator known not{ /Operator /image def }if end /sep_colorspace_dict AGMCORE_gget null eq{ imageormask }{ gsave dup begin invert_image_samples end sep_imageormask grestore }ifelse }def /cpaint_gcomp { AGM_preserve_spots{ gsave nulldevice }if }def /cpaint_gsep { AGM_preserve_spots{ grestore currentoverprint Adobe_AGM_Core/AGMCORE_ovp xddf }{ gsave nulldevice }ifelse }def /cpaint_gend { AGM_preserve_spots{ Adobe_AGM_Core/AGMCORE_ovp get setoverprint }{ grestore }ifelse newpath }def /AGMCORE_ctm_stack bdict /push_ctm { stack length size le{ stack dup length 2 mul array dup /stack exch def copy pop }if stack size 3 -1 roll put /size size 1 add def } /pop_ctm { /size size 1 sub def size 0 lt{ /size 0 def }if stack size get } /stack 1 array /size 0 edict def /save_ctm { matrix currentmatrix AGMCORE_ctm_stack begin push_ctm end }def /restore_ctm { AGMCORE_ctm_stack begin pop_ctm end setmatrix }def /path_rez { dup 0 ne{ AGMCORE_deviceDPI exch div dup 1 lt{ pop 1 }if setflat }{ pop }ifelse }def end systemdict /setpacking known { setpacking } if %%EndResource %%BeginResource: procset Adobe_CoolType_Core 1.1 0 %%Copyright: Copyright 1997-1999 Adobe Systems Incorporated. All Rights Reserved. %%Version: 1.1 0 userdict/Adobe_CoolType_Core 40 dict dup begin put/Level2? systemdict /languagelevel known dup{pop systemdict/languagelevel get 2 ge}if def Level2? not{/currentglobal false def/setglobal/pop load def/gcheck{pop false}bind def /currentpacking false def/setpacking/pop load def}if currentpacking true setpacking/bdf{bind def}bind def/ldf{load def}bind def/doc_setup{ Adobe_CoolType_Core begin/mov/moveto ldf/nfnt/newencodedfont ldf/mfnt/makefont ldf/sfnt/setfont ldf/ufnt/undefinefont ldf/chp/charpath ldf/awsh/awidthshow ldf/wsh/widthshow ldf/ash/ashow ldf/sh/show ldf end userdict /Adobe_CoolType_Data 2 dict dup begin/WidthShowArray 256 array def /GenFauxMMInst{}bind def end put}bind def/doc_trailer{currentdict Adobe_CoolType_Core eq{end}if Adobe_CoolType_Core/unload get exec systemdict /undef known{userdict/Adobe_CoolType_Data undef}if}bind def/page_setup{ Adobe_CoolType_Core begin}bind def/page_trailer{end}bind def/unload{systemdict /languagelevel known{systemdict/languagelevel get 2 ge{userdict /Adobe_CoolType_Core 2 copy known{undef}{pop pop}ifelse}if}if}bind def/ndf{1 index where{pop pop pop}{dup xcheck{bind}if def}ifelse}def/findfont dup systemdict begin userdict begin/globaldict where{/globaldict get begin}if dup where pop exch get/globaldict where{pop end}if end end def/systemfindfont /findfont load def/undefinefont{pop}ndf/copyfont{currentglobal 3 1 roll 1 index gcheck setglobal dup null eq{0}{dup length}ifelse 2 index length add 1 add dict begin exch{1 index/FID eq{pop pop}{def}ifelse}forall dup null eq{pop} {{def}forall}ifelse currentdict end exch setglobal}bdf/newencodedfont{findfont dup length dict begin{1 index/FID ne{def}{pop pop}ifelse}forall/Encoding exch def currentdict end definefont pop}bdf/scff{$SubstituteFont begin dup type /stringtype eq{dup length exch}{null}ifelse/$sname exch def/$slen exch def /$fontname 1 index dup type/stringtype eq{cvn}if def/$used false def end findfont $SubstituteFont begin $used{currentglobal exch dup gcheck setglobal null copyfont begin/FontName $fontname def/currentdistillerparams where{pop}{ /FontInfo currentdict/FontInfo known{FontInfo null copyfont}{2 dict}ifelse dup begin/ItalicAngle $italicangle def/FontMatrix FontMatrix[1 0 ItalicAngle dup sin exch cos div 1 0 0]matrix concatmatrix readonly end 4 2 roll def def} ifelse FontName currentdict end definefont exch setglobal}if/$sname null def /$slen 0 def end}bdf/ConcatStrings{dup 0 exch{length add}forall string exch 0 exch{3 copy putinterval length add}forall pop}bind def/BeginFauxMMFont{1 index findfont pop 2 array astore ConcatStrings 3 1 roll($)exch 3 array astore ConcatStrings exch findfont currentglobal exch dup gcheck setglobal null copyfont/tempfontname exch definefont pop exch 12 dict begin/FontName exch def /FontType 0 def/FMapType 6 def/FontMatrix matrix def/PaintType 0 def}bind def /EndFauxMMFont{currentdict end dup/FontName get exch definefont exch setglobal exch mfnt sfnt}bind def/GenFauxMMInst{Adobe_CoolType_Data/GenFauxMMInst get exec}bind def/DefFauxMMInst{Adobe_CoolType_Data exch/GenFauxMMInst exch bind put}bind def/WSALoop{4 copy 1 index add 1 sub 1 exch{3 copy put pop 1 add}for pop pop 3 2 roll add exch 256 add}bind def/BuildWidthShowArray{currentfont begin FontType 0 eq dup{pop FMapType 6 eq}if{SubsVector dup length 1 sub 1 exch getinterval}{()}ifelse end Adobe_CoolType_Data/WidthShowArray get 0 0 4 3 roll{WSALoop}forall 256 2 index sub WSALoop pop pop pop}bind def/wsa{ Adobe_CoolType_Data/WidthShowArray get}bind def/?set{3 index findfont dup /FontName known{dup/FontName get/Courier eq{4 index/Courier eq}{true}ifelse exch/DistillerFauxFont known not and}{pop pop false}ifelse{exch pop exch pop exch 2 dict dup/Found 3 index put exch findfont exch}{exch exec exch findfont 2 dict dup/Downloaded 6 5 roll put}ifelse dup/FontName 4 index put copyfont definefont pop}bind def/?str1 256 string def/?str2 256 string def/?add{1 index type/integertype eq{exch true 4 2}{false 3 1}ifelse roll 1 index findfont /Downloaded known{exec exch{exch ?str2 cvs exch findfont/Downloaded get 1 dict begin/Downloaded 1 index def ?str1 cvs length ?str1 1 index 1 add 3 index putinterval exch length 1 add 1 index add ?str1 2 index(*)putinterval ?str1 0 2 index getinterval cvn findfont ?str1 3 index(+)putinterval 2 dict dup /FontName ?str1 0 6 index getinterval cvn put dup/Downloaded Downloaded put end copyfont dup/FontName get exch definefont pop pop pop}{pop}ifelse}{pop exch{findfont dup/Found get dup length exch ?str1 cvs pop ?str1 1 index(+) putinterval ?str1 1 index 1 add 4 index ?str2 cvs putinterval ?str1 exch 0 exch 5 4 roll ?str2 cvs length 1 add add getinterval cvn 1 dict exch 1 index exch/FontName exch put copyfont dup/FontName get exch definefont pop}{pop} ifelse}ifelse}bind def/?sh{currentfont/Downloaded known{exch}if pop}bind def /?chp{currentfont/Downloaded known{pop}{false chp}ifelse}bind def/?mv{ currentfont/Downloaded known{moveto pop pop}{pop pop moveto}ifelse}bind def setpacking end/currentdistillerparams where dup{pop pop currentdistillerparams /CannotEmbedFontPolicy 2 copy known{get/Error eq}{pop pop false}ifelse}if not 1 dict begin/SubstituteFont dup $error exch 2 copy known{get}{pop pop{pop /Courier}bind}ifelse def userdict begin/$SubstituteFont 20 dict dup begin /$used false def end def end{countdictstack array dictstack 0 get begin userdict begin $SubstituteFont begin/$str 128 string def/$fontpat 128 string def/$slen 0 def/$sname null def/$match false def/$fontname null def/$used false def/$fontname null def/$italicangle 26.5 def/$findfontByEnum{dup /$fontname exch def $sname null eq{$str cvs dup length $slen sub $slen getinterval}{pop $sname}ifelse $fontpat dup 0(fonts/*)putinterval exch 7 exch putinterval/$match false def mark{$fontpat 0 $slen 7 add getinterval{/$match exch def exit}$str filenameforall}stopped cleartomark/$slen 0 def $match false ne{$match(fonts/)anchorsearch pop pop cvn/$used true def}{/Courier}ifelse}bind def/$ROS 1 dict dup begin/Adobe 4 dict dup begin/Japan1[/Ryumin-Light /HeiseiMin-W3/GothicBBB-Medium/HeiseiKakuGo-W5/HeiseiMaruGo-W4/Jun101-Light] def/Korea1[/HYSMyeongJo-Medium/HYGoThic-Medium]def/GB1[/STSong-Light /STHeiti-Regular]def/CNS1[/MKai-Medium/MHei-Medium]def end def end def /$cmapname null def/$buildfontname{length $str 1 index(-)putinterval 1 add $str 1 index $cmapname $fontpat cvs putinterval $cmapname length add $str exch 0 exch getinterval cvn/$used true def}bind def/$findfontByROS{/$fontname exch def $ROS Registry 2 copy known{get Ordering 2 copy known{get}{pop pop[]}ifelse }{pop pop[]}ifelse false exch{dup/CIDFont resourcestatus{pop pop save 1 index /CIDFont findresource dup/WidthsOnly known{dup/WidthsOnly get}{false}ifelse exch pop exch restore{pop}{exch pop true exit}ifelse}{pop}ifelse}forall{$str cvs $buildfontname}{false(*){save exch dup/CIDFont findresource dup/WidthsOnly known{dup/WidthsOnly get not}{true}ifelse exch/CIDSystemInfo get dup/Registry get Registry eq exch/Ordering get Ordering eq and and{exch restore exch pop true exit}{pop restore}ifelse}$str/CIDFont resourceforall{$buildfontname}{ $fontname $findfontByEnum}ifelse}ifelse}bind def end end currentdict/$error known currentdict/languagelevel known and dup{pop $error/SubstituteFont known} if dup{$error}{Adobe_CoolType_Core}ifelse begin{/SubstituteFont/CMap/Category resourcestatus{pop pop{$SubstituteFont begin dup length $slen gt $sname null ne or $slen 0 gt and{$sname null eq{dup $str cvs dup length $slen sub $slen getinterval cvn}{$sname}ifelse dup/CMap resourcestatus{pop pop dup/$cmapname exch def/CMap findresource/CIDSystemInfo get{def}forall $findfontByROS}{pop $findfontByEnum}ifelse}{//SubstituteFont exec}ifelse/$slen 0 def end}}{{ $SubstituteFont begin dup length $slen gt $sname null ne or $slen 0 gt and{ $findfontByEnum}{//SubstituteFont exec}ifelse end}}ifelse bind readonly def}{ /findfont{$SubstituteFont begin dup systemfindfont $slen 0 gt $sname null ne 3 index length $slen gt or and{dup/FontName get dup/Courier eq exch 3 index ne and{pop $findfontByEnum findfont dup maxlength 1 add dict begin{1 index/FID eq {pop pop}{def}ifelse}forall $fontname currentdict end definefont}{exch pop} ifelse}{exch pop}ifelse end}bind def}ifelse end end}if end %%EndResource %%EndProlog %%BeginSetup Adobe_AGM_Core/AGMCORE_err_strings 3 dict dup begin /AGMCORE_bad_environ (Environment not satisfactory for this job, which requests at least PostScript Level ^ and at least PostScript version ^. Ensure that the PPD is correct or that the PostScript level requested is supported by this printer. ) def /AGMCORE_color_space_onhost_seps (This job contains colors that will not separate with on-host methods. ) def /AGMCORE_invalid_color_space (This job contains an invalid color space. ) def end put 2 2010 true Adobe_AGM_Core/doc_setup get exec Adobe_CoolType_Core/doc_setup get exec %%EndSetup %%Page: name:1 1 %%EndPageComments %%BeginPageSetup Adobe_AGM_Core/page_setup get exec Adobe_CoolType_Core/page_setup get exec %%EndPageSetup Adobe_AGM_Core/AGMCORE_save save ddf mark /0 [/DeviceGray] add_csa /CSA /0 /1 [/DeviceCMYK] add_csa /CSA /1 /2 [/DeviceRGB] add_csa /CSA /2 cleartomark 800 path_rez 1 -1 scale 0 -356.25 translate gsave [1 0 0 1 0 0 ] concat gsave 0 0 mo 0 356.25 ln 475 356.25 ln 475 0 ln clp 0 0 mo 0 356.25 ln 475 356.25 ln 475 0 ln false op save_ctm gsave clp gsave [ 1 0 0 -1 0 356.25 ] concat [475 0 0 356.25 0 0 ] concat Adobe_AGM_Core begin /AGMCORE_deltaX 72 AGMCORE_deviceDPI div 1.999 div 475 abs 0 abs add div def /AGMCORE_deltaY 72 AGMCORE_deviceDPI div 1.999 div 0 abs 356.25 abs add div def [1 AGMCORE_deltaX 2 mul add 0 0 1 AGMCORE_deltaY 2 mul add AGMCORE_deltaX neg AGMCORE_deltaY neg] concat end << /CSA /2 >> csacrd << /Width 500 /Height 375 /BitsPerComponent 8 /Decode [0 1 0 1 0 1 ] /ImageMatrix [500 0 0 -375 0 375 ] Adobe_AGM_Core/AGMCORE_imagestring0 500 string ddf Adobe_AGM_Core/AGMCORE_imagestring1 500 string ddf Adobe_AGM_Core/AGMCORE_imagestring2 500 string ddf /DataSource Adobe_AGM_Core/AGMCORE_cnt 0 put [ { AGMCORE_cnt 0 eq{Adobe_AGM_Core/AGMCORE_fsave save put}if Adobe_AGM_Core/AGMCORE_cnt AGMCORE_cnt 1 add put Adobe_AGM_Core/rdcmntline get /ASCII85Decode filter /RunLengthDecode filter AGMCORE_imagestring0 readstring pop } { Adobe_AGM_Core/rdcmntline get /ASCII85Decode filter /RunLengthDecode filter AGMCORE_imagestring1 readstring pop } { Adobe_AGM_Core/rdcmntline get /ASCII85Decode filter /RunLengthDecode filter AGMCORE_imagestring2 readstring pop AGMCORE_cnt 10 gt{AGMCORE_fsave restore Adobe_AGM_Core/AGMCORE_cnt 0 put }if } ] /ImageType 1 /NComponents 3 /Operator /colorimage /MultipleDataSources true /HostSepColorImage false /InksUsed [ ] /SkipImageProc {false} >> %%BeginDataCountAtEnd: NoCount % 1 img %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> %K)^H&K)^`.J,~> 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark /Symbol findfont /Encoding get dup 46 /period put dup 48 /zero put dup 61 /equal put dup 116 /tau put pop %ADOEndSubsetFont /Symbol*1 [ 46{/.notdef}repeat /period /.notdef /zero 12{/.notdef}repeat /equal 54{/.notdef}repeat /tau 139{/.notdef}repeat ] /Symbol nfnt /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 108.3 16.625 mov (t=0.0) sh restore_ctm save_ctm /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 347.7 18.5249 mov (t=) sh %ADOBeginSubsetFont: Symbol AddGlyphs currentfile eexec A0B00ED553C885B054407600D8001EF7E731258E500186 3D60D7087C9E5BD9B77926DD398D7FAC548A8FD69776502A7C17563724620FE9 028CEA772E687B2DABA3D45FCF81F001DFE7CEE78E8EF8B5CB9D6F8D0538C498 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark /Symbol findfont /Encoding get dup 50 /two put dup 51 /three put pop %ADOEndSubsetFont /Symbol*2 [ 50{/.notdef}repeat /two /three 204{/.notdef}repeat ] /Symbol nfnt /Symbol*2 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 358.963 18.5249 mov (2) sh /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 364.663 18.5249 mov (.) sh /Symbol*2 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 367.513 18.5249 mov (3) sh restore_ctm save_ctm /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 110.2 121.125 mov (t=) sh %ADOBeginSubsetFont: Symbol AddGlyphs currentfile eexec A0B00ED553C885B054407600D8001EF7E731258E500186 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/four put pop %ADOEndSubsetFont /Symbol*3 [ 52{/.notdef}repeat /four 203{/.notdef}repeat ] /Symbol nfnt /Symbol*3 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 121.463 121.125 mov (4) sh /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 127.163 121.125 mov (.) sh /Symbol*2 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 130.013 121.125 mov (2) sh restore_ctm save_ctm /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 346.75 120.175 mov (t=) sh %ADOBeginSubsetFont: Symbol AddGlyphs currentfile eexec A0B00ED553C885B054407600D8001EF7E731258E500186 3D60D7087C9E5BD9B77926DD398D7FAC548A8FD69776502A7C17563724620FE9 028CEA772E687B2DABA3D45FCF81F001DFE7CEE78E8EF8B5CB9D6F8D0538C498 22F2E8F630154A865F7681DBD12D362F4797F99F6C459D5AB9D249BF1D18A713 C9916EE5996CB18AFB0A4781670396CF4868E328873056CA932B0C6A5B73494A C0E032B52F087C9DA2FE166303E34ED3DEE869E155953209DAC1E8AF8AAE9A1B 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark /Symbol findfont /Encoding get dup 53 /five put dup 57 /nine put pop %ADOEndSubsetFont /Symbol*4 [ 53{/.notdef}repeat /five 3{/.notdef}repeat /nine 198{/.notdef}repeat ] /Symbol nfnt /Symbol*4 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 358.013 120.175 mov (5) sh /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 363.713 120.175 mov (.) sh /Symbol*4 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 366.563 120.175 mov (9) sh restore_ctm save_ctm /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 108.3 225.625 mov (t=) sh %ADOBeginSubsetFont: Symbol AddGlyphs currentfile eexec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cleartomark /Symbol findfont /Encoding get dup 55 /seven put pop %ADOEndSubsetFont /Symbol*5 [ 55{/.notdef}repeat /seven 200{/.notdef}repeat ] /Symbol nfnt /Symbol*5 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 119.563 225.625 mov (7) sh /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 125.263 225.625 mov (.) sh /Symbol*3 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 128.113 225.625 mov (4) sh restore_ctm /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 348.65 225.625 mov (t=) sh %ADOBeginSubsetFont: Symbol AddGlyphs currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark /Symbol findfont /Encoding get dup 49 /one put dup 54 /six put dup 56 /eight put pop %ADOEndSubsetFont /Symbol*6 [ 49{/.notdef}repeat /one 4{/.notdef}repeat /six /.notdef /eight 199{/.notdef}repeat ] /Symbol nfnt /Symbol*6 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 359.913 225.625 mov (18) sh /Symbol*1 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 371.313 225.625 mov (.) sh /Symbol*6 findfont [11.4 0 0 -11.4 0 0 ]mfnt sfnt BuildWidthShowArray 374.163 225.625 mov (6) sh grestore grestore Adobe_AGM_Core/AGMCORE_save get restore %%PageTrailer Adobe_CoolType_Core/page_trailer get exec Adobe_AGM_Core/page_trailer get exec %%Trailer Adobe_CoolType_Core/doc_trailer get exec Adobe_AGM_Core/doc_trailer get exec %%EOF gsave userdict /annotatepage 2 copy known {get exec}{pop pop} ifelse grestore showpage %AI9_PrintingDataEnd userdict /AI9_read_buffer 256 string put userdict begin /ai9_skip_data { mark { currentfile AI9_read_buffer { readline } stopped { } { not { exit } if (%AI9_PrivateDataEnd) eq { exit } if } ifelse } loop cleartomark } def end userdict /ai9_skip_data get exec %AI9_PrivateDataBegin %!PS-Adobe-3.0 EPSF-3.0 %%Creator: Adobe Illustrator(R) 9.0 %%AI8_CreatorVersion: 9.0 %%For: (Defula Defulizer) (D-Studio) %%Title: (hist3.eps) %%CreationDate: 1/26/2002 10:33 PM %AI9_DataStream %GasH#>H]?pEM`KF!W@d0%g40%O;35&E9E]=M/$Lg&j])PQUZVsE;-:l:f_1O?6iF.rpTH,O]dqs9:?`\9P*WbC_(`rAS\iG=o@W! %^O#MAomD5emB>CEnX!$uI>[!..QK_YU\rg*B0Z8hcbEiUJ+B"7'L28KH5&Q2pfBKH01*<9s4;2/a7%XG&&3JcAutaqs6@k02t,W' %o'*@We6bH=[XZI^rTX>cY?nps6urTcSr%6^@;^UhnFO3]]T7_#8lcrO72l&?Tu/7!:SNpVn\a?cLlro %lX/5DpkQW^9mI)\LejLIra10GR1FdnqrZXWrU"fYqY[nk.K&7JJ,@tbr9_*[TD?V+rVu@JpHAQ=HZ#/8m!LGaa.N7RX&gD#IsBR0 %]Qs8I#QJ-pppP\IYhm(mEE)tsLW95[R+'.2ofmd"rHI'4j;R^3CN-sOr;-6>qXp>%htIXWjVOOq9V:b2TAFVoXIOe?r;(>YA,#GFpiNnVq98k 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b(to)i(equilibrium)2000 64798 y Fm(W)-108 b(e)315 b(examined)g(the)g (con)-36 b(v)g(ergence)315 b(of)h(the)e(v)-36 b(elo)36 b(cit)-36 b(y)317 b(distribution)d(of)i(gas)f(particles)h(to)f(a)g (Maxw)-36 b(ellian.)2000 68008 y(A)g(t)433 b(an)-36 b(y)434 b(giv)-36 b(en)434 b(time)g Fj(\034)517 b(>)369 b Fm(0,)434 b(let)19826 72096 y Fj(F)20668 72295 y Fo(\034)21243 72096 y Fm(\()p Fj(u)p Fm(\))369 b(=)g(#)p Fi(f)p Fj(i)f Fm(:)591 b Fj(v)28886 72295 y Fo(i)29631 72096 y Fj(<)368 b(u)p Fi(g)p Fj(=)-72 b(N)26350 75417 y Fm(19)p eop %%Page: 20 20 20 19 bop 2000 5424 a Fm(b)36 b(e)385 b(the)g(empirical)h(\(cum)-36 b(ulativ)g(e\))385 b(distribution)f(function)h(of)h(particle)g(v)-36 b(elo)36 b(cities.)564 b(A)-36 b(t)385 b(equilibrium,)2000 8634 y(it)647 b(should)f(b)36 b(e)647 b(close)h(to)f(the)f(normal)h (distribution)f(function)h(\010\()p Fj(x)p Fm(\).)1218 b(As)647 b(a)g(measure)g(of)g(their)2000 11844 y(closeness,)434 b(w)-36 b(e)434 b(used)f(the)g(suprem)-36 b(um)432 b(of)i(the)f (di\013erence)18765 16383 y Fj(D)19845 16582 y Fo(\034)20789 16383 y Fm(=)1701 b(sup)22170 17361 y Ff(\0001)p Fo()369 b Fm(1\))g Fi(\031)g Fm(0)p Fj(:)p Fm(2.)562 b(Based)383 b(on)f(this,)393 b(w)-36 b(e)383 b(de\014ne)e(the)h(time)2000 40183 y(of)434 b(con)-36 b(v)g(ergence)434 b(to)g(equilibrium)g(b)-36 b(y)18519 44721 y Fj(\034)19084 44920 y Fs(eq)20423 44721 y Fm(=)368 b(inf)93 b Fi(f)p Fj(\034)517 b(>)369 b Fm(0)g(:)591 b Fj(D)29555 44920 y Fo(\034)30130 43536 y Fi(p)p 31237 43536 V 1185 x Fj(N)507 b(<)369 b Fm(1)p Fi(g)13845 b Fm(\(5.1\))2000 49260 y(Here)414 b(the)g(constan)-36 b(t)413 b(1)h(as)h(a)f(critical)h(v)-72 b(alue)415 b(is)f(c)-36 b(hosen)414 b(arbitrarily)-108 b(.)572 b(W)-108 b(e)414 b(estimated)g Fj(\034)44631 49459 y Fs(eq)46015 49260 y Fm(for)g(v)-72 b(arious)2000 52470 y Fj(L)p Fm('s)521 b(and)g(found)f(that)h Fj(\034)14104 52669 y Fs(eq)15592 52470 y Fi(\031)d Fj(aL)18711 51988 y Fo(b)19689 52470 y Fm(with)j(some)g(constan)-36 b(ts)521 b Fj(a;)221 b(b)518 b(>)g Fm(0.)841 b(By)521 b(a)g(least)h(squares)f(\014t)g(w)-36 b(e)2000 55680 y(found)509 b Fj(a)497 b Fm(=)h(0)p Fj(:)p Fm(18)510 b(and)f Fj(b)497 b Fm(=)h(2)p Fj(:)p Fm(47,)529 b(see)510 b(Fig.)g(8.)805 b(\(Note)510 b(that)e(the)h(accuracy)h(of)g (our)f(exp)36 b(erimen)-36 b(tal)2000 58890 y(data)457 b(seems)g(to)g(increase)h(with)f Fj(L)p Fm(,)463 b(as)457 b(the)g(p)36 b(oin)-36 b(ts)457 b(are)g(getting)g(closer)h(to)f(eac)-36 b(h)457 b(other)g(and)f(to)i(the)2000 62100 y(\014tting)433 b(line)h(for)g(larger)g Fj(L)p Fm('s)g(on)f(Fig.)i(8.\))3951 65311 y(The)447 b(plot)g(of)h(the)f(pro)36 b(duct)446 b Fj(S)469 b Fm(=)391 b Fj(D)21717 65510 y Fo(\034)22292 64192 y Fi(p)p 23399 64192 V 1119 x Fj(N)586 b Fm(v)-36 b(ersus)447 b Fj(\034)595 b Fm(is)447 b(giv)-36 b(en)448 b(on)f(Fig.)h(9)f(\(for)h(a)f(particular)g(run)2000 68521 y(with)476 b Fj(L)440 b Fm(=)h(40\).)705 b(It)475 b(sho)-36 b(ws)476 b(that,)486 b(after)476 b(an)g(initial)h(sharp)e(drop)g(for)h (0)441 b Fj(<)f(\034)589 b(<)440 b Fm(20,)487 b(the)476 b(statistic)g Fj(S)2000 71731 y Fm(decreases)485 b(exp)36 b(onen)-36 b(tially)486 b(in)e Fj(\034)148 b Fm(.)732 b(Another)484 b(commonly)h(used)f(statistic)h(to)g(measure)g(closeness) g(to)26350 75417 y(20)p eop %%Page: 21 21 21 20 bop 13722 17874 a @beginspecial 182 @llx 329 @lly 421 @urx 453 @ury 2390 @rwi @setspecial %%BeginDocument: pin5.eps %!PS-Adobe-3.0 EPSF-2.0 %%Title: Maple plot %%Creator: Maple %%Pages: 1 %%BoundingBox: 182 329 421 453 %%DocumentNeededResources: font Helvetica %%+ font Times-Roman %%+ font Times-Italic %%+ font Symbol %%+ font Times-Roman %%EndComments 20 dict begin gsave /drawborder false def /m {moveto} def /l {lineto} def /C {setrgbcolor} def /Y /setcmykcolor where { %%ifelse Use built-in operator /setcmykcolor get }{ %%ifelse Emulate setcmykcolor with setrgbcolor { %%def 1 sub 3 { %%repeat 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor } bind } ifelse def /G {setgray} def /S {stroke} def /NP {newpath} def %%%%This draws a filled polygon and avoids bugs/features %%%% of some postscript interpreters %%%%GHOSTSCRIPT: has a bug in reversepath - removing %%%%the call to reversepath is a sufficient work around /P {gsave fill grestore reversepath stroke} def %%%%This function is needed for drawing text. It takes two arguments: a %%%%string and a rotation. It outputs width and height. /stringbbox { gsave NP 0 0 m % Set origin for easy calculations. dup rotate exch % Set orientation, and put string on top. false charpath flattenpath 0 exch sub rotate % Undo rotation. pathbbox 4 2 roll pop pop % Get dimens. of our string. 1.1 mul cvi exch 1.1 mul cvi exch % Pad some. grestore} def /thin 3 def /medium 7 def /thick 16 def /boundarythick 20 def % thichess of bounding box %%IncludeResource: font Helvetica %%IncludeResource: font Times-Roman %%IncludeResource: font Times-Italic %%IncludeResource: font Symbol %%IncludeResource: font Times-Roman 162.000000 324.000000 translate /defaultTitleFont {/Helvetica findfont 711 scalefont setfont} def /defaultFont {/Helvetica findfont 295 scalefont setfont} def /userFont1 {/Times-Roman findfont 434 scalefont setfont} def /userFont2 {/Times-Italic findfont 434 scalefont setfont} def /userFont3 {/Symbol findfont 434 scalefont setfont} def /userFont4 {/Times-Roman findfont 295 scalefont setfont} def 0.0288 0.0288 scale 1 setlinejoin 1 setlinecap 0.0 setgray /inch {72 mul} def /fheight 0.35 inch neg def 0 G medium setlinewidth [] 0 setdash defaultFont NP 1153 576 m 8843 4421 l S NP 8337 4206 m 8373 4170 l 8337 4134 l 8301 4170 l 8337 4206 l S NP 8337 4179 m 8373 4143 l 8337 4107 l 8301 4143 l 8337 4179 l S NP 7764 3919 m 7800 3883 l 7764 3847 l 7728 3883 l 7764 3919 l S NP 7764 3888 m 7800 3852 l 7764 3816 l 7728 3852 l 7764 3888 l S NP 7103 3629 m 7139 3593 l 7103 3557 l 7067 3593 l 7103 3629 l S NP 7103 3632 m 7139 3596 l 7103 3560 l 7067 3596 l 7103 3632 l S NP 7103 3530 m 7139 3494 l 7103 3458 l 7067 3494 l 7103 3530 l S NP 6320 3255 m 6356 3219 l 6320 3183 l 6284 3219 l 6320 3255 l S NP 6320 3366 m 6356 3330 l 6320 3294 l 6284 3330 l 6320 3366 l S NP 6320 3190 m 6356 3154 l 6320 3118 l 6284 3154 l 6320 3190 l S NP 5363 2857 m 5399 2821 l 5363 2785 l 5327 2821 l 5363 2857 l S NP 5363 2892 m 5399 2856 l 5363 2820 l 5327 2856 l 5363 2892 l S NP 5363 2701 m 5399 2665 l 5363 2629 l 5327 2665 l 5363 2701 l S NP 4128 2109 m 4164 2073 l 4128 2037 l 4092 2073 l 4128 2109 l S NP 4128 2109 m 4164 2073 l 4128 2037 l 4092 2073 l 4128 2109 l S NP 4128 2156 m 4164 2120 l 4128 2084 l 4092 2120 l 4128 2156 l S NP 4128 2093 m 4164 2057 l 4128 2021 l 4092 2057 l 4128 2093 l S NP 4128 1898 m 4164 1862 l 4128 1826 l 4092 1862 l 4128 1898 l S NP 2388 1428 m 2424 1392 l 2388 1356 l 2352 1392 l 2388 1428 l S NP 2388 1052 m 2424 1016 l 2388 980 l 2352 1016 l 2388 1052 l S NP 2388 1232 m 2424 1196 l 2388 1160 l 2352 1196 l 2388 1232 l S NP 2388 1405 m 2424 1369 l 2388 1333 l 2352 1369 l 2388 1405 l S NP 2388 1217 m 2424 1181 l 2388 1145 l 2352 1181 l 2388 1217 l S NP 2388 1155 m 2424 1119 l 2388 1083 l 2352 1119 l 2388 1155 l S userFont4 % bug patch -- we have a problem (eq) dup 0 stringbbox 2 idiv 4056 exch sub exch 2 idiv 1977 exch sub exch m show userFont3 % bug patch -- we have a problem (t) dup 0 stringbbox 2 idiv 4143 exch sub exch 2 idiv 1720 exch sub exch m show userFont1 % bug patch -- we have a problem (ln) dup 0 stringbbox 2 idiv 4178 exch sub exch 2 idiv 1419 exch sub exch m show userFont2 % bug patch -- we have a problem (L) dup 0 stringbbox 2 idiv 773 exch sub exch 2 idiv 8801 exch sub exch m show userFont1 % bug patch -- we have a problem (ln) dup 0 stringbbox 2 idiv 773 exch sub exch 2 idiv 8414 exch sub exch m show medium setlinewidth NP 1000 500 m 1000 4500 l S thin setlinewidth NP 902 599 m 1000 599 l S NP 951 773 m 1000 773 l S NP 951 946 m 1000 946 l S NP 951 1120 m 1000 1120 l S NP 951 1294 m 1000 1294 l S NP 902 1468 m 1000 1468 l S NP 951 1641 m 1000 1641 l S NP 951 1815 m 1000 1815 l S NP 951 1989 m 1000 1989 l S NP 951 2163 m 1000 2163 l S NP 902 2336 m 1000 2336 l S NP 951 2510 m 1000 2510 l S NP 951 2684 m 1000 2684 l S NP 951 2858 m 1000 2858 l S NP 951 3031 m 1000 3031 l S NP 902 3205 m 1000 3205 l S NP 951 3379 m 1000 3379 l S NP 951 3553 m 1000 3553 l S NP 951 3726 m 1000 3726 l S NP 951 3900 m 1000 3900 l S NP 902 4074 m 1000 4074 l S NP 951 4248 m 1000 4248 l S NP 951 4421 m 1000 4421 l S medium setlinewidth NP 1000 500 m 9000 500 l S thin setlinewidth NP 1033 463 m 1033 500 l S NP 1205 463 m 1205 500 l S NP 1376 463 m 1376 500 l S NP 1548 426 m 1548 500 l S NP 1720 463 m 1720 500 l S NP 1891 463 m 1891 500 l S NP 2063 463 m 2063 500 l S NP 2235 463 m 2235 500 l S NP 2406 426 m 2406 500 l S NP 2578 463 m 2578 500 l S NP 2750 463 m 2750 500 l S NP 2921 463 m 2921 500 l S NP 3093 463 m 3093 500 l S NP 3264 426 m 3264 500 l S NP 3436 463 m 3436 500 l S NP 3608 463 m 3608 500 l S NP 3779 463 m 3779 500 l S NP 3951 463 m 3951 500 l S NP 4123 426 m 4123 500 l S NP 4294 463 m 4294 500 l S NP 4466 463 m 4466 500 l S NP 4638 463 m 4638 500 l S NP 4809 463 m 4809 500 l S NP 4981 426 m 4981 500 l S NP 5153 463 m 5153 500 l S NP 5324 463 m 5324 500 l S NP 5496 463 m 5496 500 l S NP 5668 463 m 5668 500 l S NP 5839 426 m 5839 500 l S NP 6011 463 m 6011 500 l S NP 6183 463 m 6183 500 l S NP 6354 463 m 6354 500 l S NP 6526 463 m 6526 500 l S NP 6698 426 m 6698 500 l S NP 6869 463 m 6869 500 l S NP 7041 463 m 7041 500 l S NP 7213 463 m 7213 500 l S NP 7384 463 m 7384 500 l S NP 7556 426 m 7556 500 l S NP 7728 463 m 7728 500 l S NP 7899 463 m 7899 500 l S NP 8071 463 m 8071 500 l S NP 8243 463 m 8243 500 l S NP 8414 426 m 8414 500 l S NP 8586 463 m 8586 500 l S NP 8758 463 m 8758 500 l S NP 8929 463 m 8929 500 l defaultFont S medium setlinewidth (5) dup 0 stringbbox 2 idiv 599 exch sub exch 860 exch sub exch m show (6) dup 0 stringbbox 2 idiv 1468 exch sub exch 860 exch sub exch m show (7) dup 0 stringbbox 2 idiv 2336 exch sub exch 860 exch sub exch m show (8) dup 0 stringbbox 2 idiv 3205 exch sub exch 860 exch sub exch m show (9) dup 0 stringbbox 2 idiv 4074 exch sub exch 860 exch sub exch m show (2.8) dup 0 stringbbox 395 exch sub exch 2 idiv 1548 exch sub exch m show (3) dup 0 stringbbox 395 exch sub exch 2 idiv 2406 exch sub exch m show (3.2) dup 0 stringbbox 395 exch sub exch 2 idiv 3264 exch sub exch m show (3.4) dup 0 stringbbox 395 exch sub exch 2 idiv 4123 exch sub exch m show (3.6) dup 0 stringbbox 395 exch sub exch 2 idiv 4981 exch sub exch m show (3.8) dup 0 stringbbox 395 exch sub exch 2 idiv 5839 exch sub exch m show (4) dup 0 stringbbox 395 exch sub exch 2 idiv 6698 exch sub exch m show (4.2) dup 0 stringbbox 395 exch sub exch 2 idiv 7556 exch sub exch m show (4.4) dup 0 stringbbox 395 exch sub exch 2 idiv 8414 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 10000 bd sub 5000 bd sub l 10000 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 3062 22191 a Fm(Figure)433 b(8:)579 b(The)434 b(v)-72 b(alue)434 b(ln)221 b Fj(\034)16656 22390 y Fs(eq)18059 22191 y Fm(as)434 b(a)g(function)g(of)g(ln)221 b Fj(L)p Fm(:)578 b(exp)36 b(erimen)-36 b(tal)434 b(p)36 b(oin)-36 b(ts)434 b(and)f(a)g(linear)h(\014t.)2000 25848 y(Maxw)-36 b(ellian)435 b(is)23083 29059 y Fj(S)23960 28510 y Ff(0)24640 29059 y Fm(=)369 b(3)295 b Fi(\000)28497 28160 y Fj(M)29755 28359 y Fs(4)p 28427 28749 1923 45 v 28427 29970 a Fj(M)29824 29512 y Fs(2)29685 30260 y(2)2000 32796 y Fm(where)396 b Fj(M)6978 32995 y Fs(2)7901 32796 y Fm(and)g Fj(M)11651 32995 y Fs(4)12573 32796 y Fm(are)h(the)e(second)h(and)g(the)g(fourth)g (sample)h(momen)-36 b(ts)395 b(of)i(the)f(empirical)h(v)-36 b(elo)36 b(c-)2000 36006 y(it)-36 b(y)427 b(distribution,)g(resp)36 b(ectiv)-36 b(ely)-108 b(.)576 b(Fig.)427 b(9)g(sho)-36 b(ws)426 b(that)g Fj(S)30012 35524 y Ff(0)30749 36006 y Fm(con)-36 b(v)g(erges)427 b(to)f(zero)h(in)f(a)h(similar)g(manner) 2000 39217 y(\(for)434 b(the)f(same)h(run)e(with)i Fj(L)369 b Fm(=)g(40\).)7222 62943 y @beginspecial 122 @llx 309 @lly 478 @urx 482 @ury 3560 @rwi @setspecial %%BeginDocument: pin10.eps %!PS-Adobe-3.0 EPSF-2.0 %%Title: Maple plot %%Creator: Maple %%Pages: 1 %%BoundingBox: 122 309 478 482 %%DocumentNeededResources: font Helvetica %%+ font Times-Roman %%+ font Symbol %%EndComments 20 dict begin gsave /drawborder false def /m {moveto} def /l {lineto} def /C {setrgbcolor} def /Y /setcmykcolor where { %%ifelse Use built-in operator /setcmykcolor get }{ %%ifelse Emulate setcmykcolor with setrgbcolor { %%def 1 sub 3 { %%repeat 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor } bind } ifelse def /G {setgray} def /S {stroke} def /NP {newpath} def %%%%This draws a filled polygon and avoids bugs/features %%%% of some postscript interpreters %%%%GHOSTSCRIPT: has a bug in reversepath - removing %%%%the call to reversepath is a sufficient work around /P {gsave fill grestore reversepath stroke} def %%%%This function is needed for drawing text. It takes two arguments: a %%%%string and a rotation. It outputs width and height. /stringbbox { gsave NP 0 0 m % Set origin for easy calculations. dup rotate exch % Set orientation, and put string on top. false charpath flattenpath 0 exch sub rotate % Undo rotation. pathbbox 4 2 roll pop pop % Get dimens. of our string. 1.1 mul cvi exch 1.1 mul cvi exch % Pad some. grestore} def /thin 3 def /medium 7 def /thick 16 def /boundarythick 20 def % thichess of bounding box %%IncludeResource: font Helvetica %%IncludeResource: font Times-Roman %%IncludeResource: font Symbol 90.000000 288.000000 translate /defaultTitleFont {/Helvetica findfont 474 scalefont setfont} def /defaultFont {/Helvetica findfont 243 scalefont setfont} def /userFont1 {/Times-Roman findfont 289 scalefont setfont} def /userFont2 {/Symbol findfont 289 scalefont setfont} def 0.0432 0.0432 scale 1 setlinejoin 1 setlinecap 0.0 setgray /inch {72 mul} def /fheight 0.35 inch neg def 0 G medium setlinewidth [] 0 setdash defaultFont medium setlinewidth NP 8799 641 m 8843 576 l S NP 8755 719 m 8799 641 l S NP 8711 682 m 8755 719 l S NP 8667 727 m 8711 682 l S NP 8623 700 m 8667 727 l S NP 8579 684 m 8623 700 l S NP 8535 664 m 8579 684 l S NP 8491 712 m 8535 664 l S NP 8447 770 m 8491 712 l S NP 8403 789 m 8447 770 l S NP 8359 824 m 8403 789 l S NP 8315 813 m 8359 824 l S NP 8271 794 m 8315 813 l S NP 8227 779 m 8271 794 l S NP 8184 767 m 8227 779 l S NP 8140 777 m 8184 767 l S NP 8096 740 m 8140 777 l S NP 8052 755 m 8096 740 l S NP 8008 740 m 8052 755 l S NP 7964 748 m 8008 740 l S NP 7920 794 m 7964 748 l S NP 7876 842 m 7920 794 l S NP 7832 819 m 7876 842 l S NP 7788 805 m 7832 819 l S NP 7744 893 m 7788 805 l S NP 7700 850 m 7744 893 l S NP 7656 922 m 7700 850 l S NP 7612 936 m 7656 922 l S NP 7568 858 m 7612 936 l S NP 7524 909 m 7568 858 l S NP 7481 878 m 7524 909 l S NP 7437 947 m 7481 878 l S NP 7393 933 m 7437 947 l S NP 7349 983 m 7393 933 l S NP 7305 1002 m 7349 983 l S NP 7261 982 m 7305 1002 l S NP 7217 971 m 7261 982 l S NP 7173 1000 m 7217 971 l S NP 7129 1058 m 7173 1000 l S NP 7085 1033 m 7129 1058 l S NP 7041 1038 m 7085 1033 l S NP 6997 1026 m 7041 1038 l S NP 6953 1046 m 6997 1026 l S NP 6909 1032 m 6953 1046 l S NP 6865 1043 m 6909 1032 l S NP 6821 1099 m 6865 1043 l S NP 6778 1079 m 6821 1099 l S NP 6734 1097 m 6778 1079 l S NP 6690 1119 m 6734 1097 l S NP 6646 1125 m 6690 1119 l S NP 6602 1155 m 6646 1125 l S NP 6558 1160 m 6602 1155 l S NP 6514 1144 m 6558 1160 l S NP 6470 1189 m 6514 1144 l S NP 6426 1174 m 6470 1189 l S NP 6382 1165 m 6426 1174 l S NP 6338 1171 m 6382 1165 l S NP 6294 1154 m 6338 1171 l S NP 6250 1209 m 6294 1154 l S NP 6206 1205 m 6250 1209 l S NP 6162 1207 m 6206 1205 l S NP 6118 1198 m 6162 1207 l S NP 6074 1199 m 6118 1198 l S NP 6031 1198 m 6074 1199 l S NP 5987 1217 m 6031 1198 l S NP 5943 1202 m 5987 1217 l S NP 5899 1215 m 5943 1202 l S NP 5855 1256 m 5899 1215 l S NP 5811 1244 m 5855 1256 l S NP 5767 1286 m 5811 1244 l S NP 5723 1278 m 5767 1286 l S NP 5679 1276 m 5723 1278 l S NP 5635 1308 m 5679 1276 l S NP 5591 1313 m 5635 1308 l S NP 5547 1339 m 5591 1313 l S NP 5503 1337 m 5547 1339 l S NP 5459 1326 m 5503 1337 l S NP 5415 1337 m 5459 1326 l S NP 5371 1354 m 5415 1337 l S NP 5328 1355 m 5371 1354 l S NP 5284 1365 m 5328 1355 l S NP 5240 1363 m 5284 1365 l S NP 5196 1358 m 5240 1363 l S NP 5152 1383 m 5196 1358 l S NP 5108 1380 m 5152 1383 l S NP 5064 1390 m 5108 1380 l S NP 5020 1418 m 5064 1390 l S NP 4976 1438 m 5020 1418 l S NP 4932 1434 m 4976 1438 l S NP 4888 1465 m 4932 1434 l S NP 4844 1464 m 4888 1465 l S NP 4800 1477 m 4844 1464 l S NP 4756 1493 m 4800 1477 l S NP 4712 1483 m 4756 1493 l S NP 4668 1506 m 4712 1483 l S NP 4625 1531 m 4668 1506 l S NP 4581 1523 m 4625 1531 l S NP 4537 1529 m 4581 1523 l S NP 4493 1546 m 4537 1529 l S NP 4449 1556 m 4493 1546 l S NP 4405 1563 m 4449 1556 l S NP 4361 1566 m 4405 1563 l S NP 4317 1584 m 4361 1566 l S NP 4273 1591 m 4317 1584 l S NP 4229 1593 m 4273 1591 l S NP 4185 1601 m 4229 1593 l S NP 4141 1607 m 4185 1601 l S NP 4097 1602 m 4141 1607 l S NP 4053 1602 m 4097 1602 l S NP 4009 1619 m 4053 1602 l S NP 3965 1635 m 4009 1619 l S NP 3921 1637 m 3965 1635 l S NP 3878 1652 m 3921 1637 l S NP 3834 1670 m 3878 1652 l S NP 3790 1669 m 3834 1670 l S NP 3746 1676 m 3790 1669 l S NP 3702 1689 m 3746 1676 l S NP 3658 1696 m 3702 1689 l S NP 3614 1698 m 3658 1696 l S NP 3570 1710 m 3614 1698 l S NP 3526 1707 m 3570 1710 l S NP 3482 1724 m 3526 1707 l S NP 3438 1733 m 3482 1724 l S NP 3394 1733 m 3438 1733 l S NP 3350 1736 m 3394 1733 l S NP 3306 1745 m 3350 1736 l S NP 3262 1757 m 3306 1745 l S NP 3218 1764 m 3262 1757 l S NP 3174 1778 m 3218 1764 l S NP 3131 1790 m 3174 1778 l S NP 3087 1797 m 3131 1790 l S NP 3043 1789 m 3087 1797 l S NP 2999 1796 m 3043 1789 l S NP 2955 1805 m 2999 1796 l S NP 2911 1807 m 2955 1805 l S NP 2867 1816 m 2911 1807 l S NP 2823 1814 m 2867 1816 l S NP 2779 1820 m 2823 1814 l S NP 2735 1836 m 2779 1820 l S NP 2691 1845 m 2735 1836 l S NP 2647 1857 m 2691 1845 l S NP 2603 1859 m 2647 1857 l S NP 2559 1874 m 2603 1859 l S NP 2515 1879 m 2559 1874 l S NP 2471 1885 m 2515 1879 l S NP 2428 1889 m 2471 1885 l S NP 2384 1901 m 2428 1889 l S NP 2340 1910 m 2384 1901 l S NP 2296 1912 m 2340 1910 l S NP 2252 1927 m 2296 1912 l S NP 2208 1936 m 2252 1927 l S NP 2164 1945 m 2208 1936 l S NP 2120 1956 m 2164 1945 l S NP 2076 1975 m 2120 1956 l S NP 2032 1985 m 2076 1975 l S NP 1988 1988 m 2032 1985 l S NP 1944 1995 m 1988 1988 l S NP 1900 2004 m 1944 1995 l S NP 1856 2018 m 1900 2004 l S NP 1812 2028 m 1856 2018 l S NP 1768 2030 m 1812 2028 l S NP 1725 2041 m 1768 2030 l S NP 1681 2045 m 1725 2041 l S NP 1637 2049 m 1681 2045 l S NP 1593 2053 m 1637 2049 l S NP 1549 2054 m 1593 2053 l S NP 1505 2061 m 1549 2054 l S NP 1461 2070 m 1505 2061 l S NP 1417 2073 m 1461 2070 l S NP 1373 2084 m 1417 2073 l S NP 1329 2082 m 1373 2084 l S NP 1285 2089 m 1329 2082 l S NP 1241 2088 m 1285 2089 l S NP 1197 2256 m 1241 2088 l S NP 1153 2582 m 1197 2256 l S 24 setlinewidth NP 8799 2315 m 8843 2245 l S NP 8755 2430 m 8799 2315 l S NP 8711 2271 m 8755 2430 l S NP 8667 2406 m 8711 2271 l S NP 8623 2315 m 8667 2406 l S NP 8579 2278 m 8623 2315 l S NP 8535 2319 m 8579 2278 l S NP 8491 2359 m 8535 2319 l S NP 8447 2370 m 8491 2359 l S NP 8403 2378 m 8447 2370 l S NP 8359 2402 m 8403 2378 l S NP 8315 2391 m 8359 2402 l S NP 8271 2370 m 8315 2391 l S NP 8227 2420 m 8271 2370 l S NP 8184 2475 m 8227 2420 l S NP 8140 2486 m 8184 2475 l S NP 8096 2427 m 8140 2486 l S NP 8052 2428 m 8096 2427 l S NP 8008 2476 m 8052 2428 l S NP 7964 2464 m 8008 2476 l S NP 7920 2495 m 7964 2464 l S NP 7876 2483 m 7920 2495 l S NP 7832 2545 m 7876 2483 l S NP 7788 2515 m 7832 2545 l S NP 7744 2554 m 7788 2515 l S NP 7700 2508 m 7744 2554 l S NP 7656 2484 m 7700 2508 l S NP 7612 2504 m 7656 2484 l S NP 7568 2489 m 7612 2504 l S NP 7524 2505 m 7568 2489 l S NP 7481 2526 m 7524 2505 l S NP 7437 2556 m 7481 2526 l S NP 7393 2582 m 7437 2556 l S NP 7349 2553 m 7393 2582 l S NP 7305 2559 m 7349 2553 l S NP 7261 2561 m 7305 2559 l S NP 7217 2525 m 7261 2561 l S NP 7173 2607 m 7217 2525 l S NP 7129 2548 m 7173 2607 l S NP 7085 2570 m 7129 2548 l S NP 7041 2610 m 7085 2570 l S NP 6997 2624 m 7041 2610 l S NP 6953 2614 m 6997 2624 l S NP 6909 2612 m 6953 2614 l S NP 6865 2586 m 6909 2612 l S NP 6821 2633 m 6865 2586 l S NP 6778 2669 m 6821 2633 l S NP 6734 2639 m 6778 2669 l S NP 6690 2617 m 6734 2639 l S NP 6646 2707 m 6690 2617 l S NP 6602 2663 m 6646 2707 l S NP 6558 2712 m 6602 2663 l S NP 6514 2664 m 6558 2712 l S NP 6470 2697 m 6514 2664 l S NP 6426 2678 m 6470 2697 l S NP 6382 2678 m 6426 2678 l S NP 6338 2695 m 6382 2678 l S NP 6294 2695 m 6338 2695 l S NP 6250 2694 m 6294 2695 l S NP 6206 2681 m 6250 2694 l S NP 6162 2689 m 6206 2681 l S NP 6118 2657 m 6162 2689 l S NP 6074 2707 m 6118 2657 l S NP 6031 2712 m 6074 2707 l S NP 5987 2683 m 6031 2712 l S NP 5943 2730 m 5987 2683 l S NP 5899 2746 m 5943 2730 l S NP 5855 2767 m 5899 2746 l S NP 5811 2745 m 5855 2767 l S NP 5767 2778 m 5811 2745 l S NP 5723 2771 m 5767 2778 l S NP 5679 2813 m 5723 2771 l S NP 5635 2808 m 5679 2813 l S NP 5591 2801 m 5635 2808 l S NP 5547 2832 m 5591 2801 l S NP 5503 2821 m 5547 2832 l S NP 5459 2789 m 5503 2821 l S NP 5415 2795 m 5459 2789 l S NP 5371 2863 m 5415 2795 l S NP 5328 2825 m 5371 2863 l S NP 5284 2842 m 5328 2825 l S NP 5240 2829 m 5284 2842 l S NP 5196 2824 m 5240 2829 l S NP 5152 2849 m 5196 2824 l S NP 5108 2870 m 5152 2849 l S NP 5064 2863 m 5108 2870 l S NP 5020 2867 m 5064 2863 l S NP 4976 2864 m 5020 2867 l S NP 4932 2885 m 4976 2864 l S NP 4888 2888 m 4932 2885 l S NP 4844 2909 m 4888 2888 l S NP 4800 2913 m 4844 2909 l S NP 4756 2930 m 4800 2913 l S NP 4712 2913 m 4756 2930 l S NP 4668 2951 m 4712 2913 l S NP 4625 2928 m 4668 2951 l S NP 4581 2941 m 4625 2928 l S NP 4537 2954 m 4581 2941 l S NP 4493 2968 m 4537 2954 l S NP 4449 2964 m 4493 2968 l S NP 4405 2969 m 4449 2964 l S NP 4361 2942 m 4405 2969 l S NP 4317 2960 m 4361 2942 l S NP 4273 2969 m 4317 2960 l S NP 4229 2986 m 4273 2969 l S NP 4185 2989 m 4229 2986 l S NP 4141 2998 m 4185 2989 l S NP 4097 3022 m 4141 2998 l S NP 4053 3043 m 4097 3022 l S NP 4009 3021 m 4053 3043 l S NP 3965 3027 m 4009 3021 l S NP 3921 3043 m 3965 3027 l S NP 3878 3031 m 3921 3043 l S NP 3834 3027 m 3878 3031 l S NP 3790 3025 m 3834 3027 l S NP 3746 3065 m 3790 3025 l S NP 3702 3048 m 3746 3065 l S NP 3658 3044 m 3702 3048 l S NP 3614 3060 m 3658 3044 l S NP 3570 3071 m 3614 3060 l S NP 3526 3089 m 3570 3071 l S NP 3482 3113 m 3526 3089 l S NP 3438 3107 m 3482 3113 l S NP 3394 3123 m 3438 3107 l S NP 3350 3126 m 3394 3123 l S NP 3306 3152 m 3350 3126 l S NP 3262 3148 m 3306 3152 l S NP 3218 3151 m 3262 3148 l S NP 3174 3184 m 3218 3151 l S NP 3131 3187 m 3174 3184 l S NP 3087 3199 m 3131 3187 l S NP 3043 3221 m 3087 3199 l S NP 2999 3232 m 3043 3221 l S NP 2955 3219 m 2999 3232 l S NP 2911 3224 m 2955 3219 l S NP 2867 3233 m 2911 3224 l S NP 2823 3225 m 2867 3233 l S NP 2779 3219 m 2823 3225 l S NP 2735 3241 m 2779 3219 l S NP 2691 3246 m 2735 3241 l S NP 2647 3258 m 2691 3246 l S NP 2603 3252 m 2647 3258 l S NP 2559 3259 m 2603 3252 l S NP 2515 3291 m 2559 3259 l S NP 2471 3292 m 2515 3291 l S NP 2428 3288 m 2471 3292 l S NP 2384 3295 m 2428 3288 l S NP 2340 3312 m 2384 3295 l S NP 2296 3309 m 2340 3312 l S NP 2252 3340 m 2296 3309 l S NP 2208 3359 m 2252 3340 l S NP 2164 3367 m 2208 3359 l S NP 2120 3370 m 2164 3367 l S NP 2076 3383 m 2120 3370 l S NP 2032 3387 m 2076 3383 l S NP 1988 3394 m 2032 3387 l S NP 1944 3397 m 1988 3394 l S NP 1900 3412 m 1944 3397 l S NP 1856 3411 m 1900 3412 l S NP 1812 3431 m 1856 3411 l S NP 1768 3437 m 1812 3431 l S NP 1725 3450 m 1768 3437 l S NP 1681 3439 m 1725 3450 l S NP 1637 3461 m 1681 3439 l S NP 1593 3465 m 1637 3461 l S NP 1549 3443 m 1593 3465 l S NP 1505 3458 m 1549 3443 l S NP 1461 3477 m 1505 3458 l S NP 1417 3456 m 1461 3477 l S NP 1373 3477 m 1417 3456 l S NP 1329 3468 m 1373 3477 l S NP 1285 3462 m 1329 3468 l S NP 1241 3504 m 1285 3462 l S NP 1197 3855 m 1241 3504 l S NP 1153 4421 m 1197 3855 l userFont1 % bug patch -- we have a problem S medium setlinewidth (ln S') dup 0 stringbbox 2 idiv 681 exch sub exch 2 idiv 1593 exch sub exch m show userFont2 % bug patch -- we have a problem (t) dup 0 stringbbox 2 idiv 2046 exch sub exch 2 idiv 8842 exch sub exch m show userFont1 % bug patch -- we have a problem (ln S) dup 0 stringbbox 2 idiv 4304 exch sub exch 2 idiv 1593 exch sub exch m show medium setlinewidth NP 1153 500 m 1153 4500 l S thin setlinewidth NP 1113 576 m 1153 576 l S NP 1073 681 m 1153 681 l S NP 1113 786 m 1153 786 l S NP 1113 891 m 1153 891 l S NP 1113 996 m 1153 996 l S NP 1113 1101 m 1153 1101 l S NP 1073 1206 m 1153 1206 l S NP 1113 1311 m 1153 1311 l S NP 1113 1416 m 1153 1416 l S NP 1113 1521 m 1153 1521 l S NP 1113 1626 m 1153 1626 l S NP 1073 1731 m 1153 1731 l S NP 1113 1836 m 1153 1836 l S NP 1113 1941 m 1153 1941 l S NP 1113 2046 m 1153 2046 l S NP 1113 2151 m 1153 2151 l S NP 1025 2256 m 1153 2256 l S NP 1113 2361 m 1153 2361 l S NP 1113 2466 m 1153 2466 l S NP 1113 2571 m 1153 2571 l S NP 1113 2676 m 1153 2676 l S NP 1073 2781 m 1153 2781 l S NP 1113 2886 m 1153 2886 l S NP 1113 2991 m 1153 2991 l S NP 1113 3096 m 1153 3096 l S NP 1113 3201 m 1153 3201 l S NP 1073 3306 m 1153 3306 l S NP 1113 3411 m 1153 3411 l S NP 1113 3516 m 1153 3516 l S NP 1113 3621 m 1153 3621 l S NP 1113 3726 m 1153 3726 l S NP 1073 3831 m 1153 3831 l S NP 1113 3936 m 1153 3936 l S NP 1113 4041 m 1153 4041 l S NP 1113 4146 m 1153 4146 l S NP 1113 4251 m 1153 4251 l S NP 1073 4356 m 1153 4356 l S NP 1113 4461 m 1153 4461 l S medium setlinewidth NP 1000 2256 m 9000 2256 l S thin setlinewidth NP 1329 2226 m 1329 2256 l S NP 1505 2226 m 1505 2256 l S NP 1681 2226 m 1681 2256 l S NP 1856 2226 m 1856 2256 l S NP 2032 2196 m 2032 2256 l S NP 2208 2226 m 2208 2256 l S NP 2383 2226 m 2383 2256 l S NP 2559 2226 m 2559 2256 l S NP 2735 2226 m 2735 2256 l S NP 2911 2196 m 2911 2256 l S NP 3086 2226 m 3086 2256 l S NP 3262 2226 m 3262 2256 l S NP 3438 2226 m 3438 2256 l S NP 3614 2226 m 3614 2256 l S NP 3789 2196 m 3789 2256 l S NP 3965 2226 m 3965 2256 l S NP 4141 2226 m 4141 2256 l S NP 4317 2226 m 4317 2256 l S NP 4492 2226 m 4492 2256 l S NP 4668 2196 m 4668 2256 l S NP 4844 2226 m 4844 2256 l S NP 5020 2226 m 5020 2256 l S NP 5195 2226 m 5195 2256 l S NP 5371 2226 m 5371 2256 l S NP 5547 2196 m 5547 2256 l S NP 5723 2226 m 5723 2256 l S NP 5898 2226 m 5898 2256 l S NP 6074 2226 m 6074 2256 l S NP 6250 2226 m 6250 2256 l S NP 6426 2196 m 6426 2256 l S NP 6601 2226 m 6601 2256 l S NP 6777 2226 m 6777 2256 l S NP 6953 2226 m 6953 2256 l S NP 7129 2226 m 7129 2256 l S NP 7304 2196 m 7304 2256 l S NP 7480 2226 m 7480 2256 l S NP 7656 2226 m 7656 2256 l S NP 7832 2226 m 7832 2256 l S NP 8007 2226 m 8007 2256 l S NP 8183 2196 m 8183 2256 l S NP 8359 2226 m 8359 2256 l S NP 8535 2226 m 8535 2256 l S NP 8710 2226 m 8710 2256 l S NP 8886 2226 m 8886 2256 l defaultFont S medium setlinewidth (\2613) dup 0 stringbbox 2 idiv 681 exch sub exch 1039 exch sub exch m show (\2612) dup 0 stringbbox 2 idiv 1206 exch sub exch 1039 exch sub exch m show (\2611) dup 0 stringbbox 2 idiv 1731 exch sub exch 1039 exch sub exch m show (0) dup 0 stringbbox 2256 exch sub exch 970 exch sub exch m show (1) dup 0 stringbbox 2 idiv 2781 exch sub exch 1039 exch sub exch m show (2) dup 0 stringbbox 2 idiv 3306 exch sub exch 1039 exch sub exch m show (3) dup 0 stringbbox 2 idiv 3831 exch sub exch 1039 exch sub exch m show (4) dup 0 stringbbox 2 idiv 4356 exch sub exch 1039 exch sub exch m show (200) dup 0 stringbbox 2170 exch sub exch 2 idiv 2032 exch sub exch m show (400) dup 0 stringbbox 2170 exch sub exch 2 idiv 2911 exch sub exch m show (600) dup 0 stringbbox 2170 exch sub exch 2 idiv 3789 exch sub exch m show (800) dup 0 stringbbox 2170 exch sub exch 2 idiv 4668 exch sub exch m show (1000) dup 0 stringbbox 2170 exch sub exch 2 idiv 5547 exch sub exch m show (1200) dup 0 stringbbox 2170 exch sub exch 2 idiv 6426 exch sub exch m show (1400) dup 0 stringbbox 2170 exch sub exch 2 idiv 7304 exch sub exch m show (1600) dup 0 stringbbox 2170 exch sub exch 2 idiv 8183 exch sub exch m show boundarythick setlinewidth % The following draws a box around the plot, % if the variable drawborder is true drawborder { /bd boundarythick 2 idiv def [] 0 setdash NP bd bd m bd 5000 bd sub l 10000 bd sub 5000 bd sub l 10000 bd sub bd l bd bd l S } if % end of if to draw the border showpage grestore end %%EOF %%EndDocument @endspecial 8772 67260 a(Figure)433 b(9:)579 b(ln)221 b Fj(S)511 b Fm(\(thic)-36 b(k)434 b(line\))f(and)g(ln)221 b Fj(S)28509 66778 y Ff(0)29254 67260 y Fm(\(thin)433 b(line\))g(as)h(functions)f(of)i Fj(\034)148 b Fm(.)2000 72096 y Ft(The)-66 b(or)g(etic)g(al)463 b(Consider)-66 b(ations)26350 75417 y Fm(21)p eop %%Page: 22 22 22 21 bop 3951 5424 a Fm(As)422 b(w)-36 b(e)422 b(noted)f(in)h(Section) f(2,)k(the)c(total)i(energy)f Fj(E)499 b Fm(and)421 b(the)h(n)-36 b(um)g(b)36 b(ers)420 b(of)i(particles)g(in)g(the)f(left)2000 8634 y(and)554 b(righ)-36 b(t)554 b(compartmen)-36 b(ts)554 b(\()p Fj(N)18081 8833 y Ff(\000)19422 8634 y Fm(and)g Fj(N)23114 8833 y Fs(+)23901 8634 y Fm(\))g(are)h(in)-36 b(tegrals)555 b(of)g(motion.)942 b(With)555 b(these)f(quan)-36 b(tities)2000 11844 y(\014xed,)520 b(the)502 b(mo)36 b(del)503 b(can)f(b)36 b(e)503 b(reduced)e(to)i(a)g(billiard)g(system)g (in)f(a)h(high-dimensional)f(p)36 b(olyhedron)2000 15055 y(b)-36 b(y)433 b(standard)g(tec)-36 b(hniques,)433 b(as)h(w)-36 b(e)434 b(sho)-36 b(w)434 b(next.)3951 18265 y(Let)457 b Fi(f)p Fj(x)7708 18464 y Fo(i)8084 18265 y Fi(g)p Fm(,)463 b Fj(i)409 b Fm(=)f(1)p Fj(;)221 b(:)g(:)g(:)j(;)d(N)16450 18464 y Fs(+)17238 18265 y Fm(,)463 b(denote)456 b(the)h Fj(x)p Fm(-co)36 b(ordinates)457 b(of)h(the)e(particles)h(to)h(the)e (righ)-36 b(t)457 b(of)h(the)2000 21475 y(piston,)616 b(and)579 b Fi(f)p Fj(x)10531 21674 y Fo(i)10907 21475 y Fi(g)p Fm(,)616 b Fj(i)h Fm(=)f Fi(\000)p Fm(1)p Fj(;)221 b(:)g(:)g(:)j(;)d Fi(\000)p Fj(N)21908 21674 y Ff(\000)22696 21475 y Fm(,)616 b(those)579 b(to)h(the)f(left)g(of)h(it)g(\(ordered)e (arbitrarily\).)1017 b(Put)2000 24685 y Fj(x)2739 24884 y Fs(0)3895 24685 y Fm(=)630 b Fj(X)6720 23566 y Fi(p)p 7828 23566 1398 54 v 7828 24685 a Fj(M)139 b Fm(,)626 b(where)587 b Fj(X)692 b Fm(is)587 b(the)g(co)36 b(ordinate)587 b(of)h(the)f(piston)f(and)h Fj(M)726 b Fm(is)587 b(its)h(mass.)1039 b(Then)587 b(the)2000 27895 y(con\014guration)363 b(space)f(of)i(the)e (system)h(\(in)g(the)f(co)36 b(ordinates)364 b Fj(x)32732 28094 y Fo(i)33107 27895 y Fm(,)378 b Fi(\000)p Fj(N)35921 28094 y Ff(\000)37077 27895 y Fi(\024)369 b Fj(i)f Fi(\024)i Fj(N)41736 28094 y Fs(+)42522 27895 y Fm(\))363 b(is)g(a)g(p)36 b(olyhedron)2000 31106 y Fj(Q)369 b Fi(\032)g Fm(I)-260 b(R)5968 30548 y Fo(N)94 b Fs(+1)8500 31106 y Fm(\(recall)434 b(that)f Fj(N)508 b Fm(=)368 b Fj(N)19264 31305 y Ff(\000)20346 31106 y Fm(+)295 b Fj(N)22695 31305 y Fs(+)23482 31106 y Fm(\))433 b(de\014ned)f(b)-36 b(y)433 b(inequalities)13343 35644 y(0)370 b Fi(\024)f Fj(x)16504 35843 y Ff(\000)p Fo(N)17983 35962 y Fd(\000)18733 35644 y Fj(;)221 b(:)g(:)g(:)j(;)d(x) 22385 35843 y Ff(\000)p Fs(1)24012 35644 y Fi(\024)369 b Fj(x)26153 35843 y Fs(0)26679 35644 y Fj(=)27329 34459 y Fi(p)p 28436 34459 V 1185 x Fj(M)508 b Fi(\024)370 b Fj(x)32344 35843 y Fs(1)32869 35644 y Fj(;)221 b(:)g(:)g(:)j(;)d(x) 36521 35843 y Fo(N)37268 35962 y Fc(+)38370 35644 y Fi(\024)369 b Fj(L)2000 40183 y Fm(It)453 b(is)g(kno)-36 b(wn)452 b(that)g(the)h(dynamics)f(of)i(our)e(mec)-36 b(hanical)453 b(system)g(\(\\gas+piston"\))g(corresp)36 b(onds)452 b(to)2000 43393 y(the)547 b(billiard)i(dynamics)f(in)g Fj(Q)p Fm(,)577 b(see)548 b([CFS].)921 b(That)548 b(is,)578 b(the)547 b(con\014guration)g(p)36 b(oin)-36 b(t)548 b Fb(q)563 b Fi(2)g Fj(Q)548 b Fm(mo)-36 b(v)g(es)2000 46603 y(freely)435 b(and)e(exp)36 b(eriences)434 b(sp)36 b(ecular)433 b(re\015ections)g(at)h(the)f(b)36 b(oundary)433 b Fj(@)72 b(Q)p Fm(.)578 b(The)434 b(v)-36 b(elo)36 b(cit)-36 b(y)435 b(v)-36 b(ector)14502 51142 y Fb(p)369 b Fm(=)17295 51124 y(_)17082 51142 y Fb(q)f Fm(=)h Fi(f)p Fj(v)20913 51341 y Ff(\000)p Fo(N)22392 51460 y Fd(\000)23142 51142 y Fj(;)221 b(:)g(:)g(:)j(;)d(v)26684 51341 y Ff(\000)p Fs(1)27942 51142 y Fj(;)g(V)29572 49956 y Fi(p)p 30679 49956 V 1186 x Fj(M)139 b(;)221 b(v)33287 51341 y Fs(1)33813 51142 y Fj(;)g(:)g(:)g(:)j(;)d(v)37355 51341 y Fo(N)38102 51460 y Fc(+)38834 51142 y Fi(g)2000 55680 y Fm(has)426 b(constan)-36 b(t)425 b(length,)i(since)f Fi(k)p Fb(p)p Fi(k)19216 55198 y Fs(2)20111 55680 y Fm(=)369 b(2)p Fj(E)447 b Fm(=)221 b(const.)575 b(Therefore,)429 b(the)c(phase)g (space)h(of)g(the)f(billiard)2000 58890 y(system)434 b(is)g Fi(M)369 b Fm(=)g Fj(Q)295 b Fi(\002)g Fj(S)14497 58408 y Fo(N)14420 59219 y(\032)15828 58890 y Fm(where)433 b Fj(S)20462 58408 y Fo(N)20385 59219 y(\032)21792 58890 y Fm(is)h(the)f Fj(N)139 b Fm(-dimensional)433 b(sphere)g(of)h(radius)f Fj(\032)369 b Fm(=)45980 57771 y Fi(p)p 47087 57771 1692 54 v 1119 x Fm(2)p Fj(E)78 b Fm(.)3951 62100 y(The)427 b(billiard)h(system)g(has)f(a)h(natural)f(equilibrium)g(state)h(giv)-36 b(en)428 b(b)-36 b(y)427 b(the)g(Liouville)h(measure)f Fj(\026)2000 65311 y Fm(on)482 b Fi(M)p Fm(,)495 b(whic)-36 b(h)482 b(is)g(the)g(pro)36 b(duct)481 b(of)i(a)f(uniform)g(measure)g (on)g(the)g(p)36 b(olyhedron)482 b Fj(Q)g Fm(and)g(a)g(uniform)2000 68521 y(\(Leb)36 b(esgue\))370 b(measure)h(on)g(the)f(sphere)g Fj(S)22366 68039 y Fo(N)22289 68849 y(\032)23263 68521 y Fm(,)383 b(i.e.)559 b Fj(d\026)368 b Fm(=)h Fj(dq)268 b(dp)p Fm(.)557 b(The)371 b(prop)36 b(erties)371 b(of)g(billiard)h (dynam-)2000 71731 y(ics)416 b(dep)36 b(end)414 b(hea)-36 b(vily)417 b(on)e(the)g(curv)-72 b(ature)414 b(of)j(the)e(b)36 b(oundary)414 b Fj(@)72 b(Q)p Fm(.)573 b(In)415 b(our)g(case)h Fj(Q)f Fm(is)h(a)g(p)36 b(olyhedron,)26350 75417 y(22)p eop %%Page: 23 23 23 22 bop 2000 5424 a Fm(hence)343 b(its)h(b)36 b(oundary)344 b(consists)g(of)h(\015at)e(sides)h(with)g(zero)g(curv)-72 b(ature.)548 b(A)344 b(protot)-36 b(yp)36 b(e)344 b(of)h(suc)-36 b(h)343 b(systems)2000 8634 y(is)434 b(billiard)g(in)f(a)h(p)36 b(olygon.)580 b(It)433 b(is)h(w)-36 b(ell)435 b(kno)-36 b(wn)433 b(that)h(\(see,)f(e.g.,)i([C)q(]\))2000 12509 y Fb(F)-125 b(act)p Fm(.)565 b(F)-108 b(or)389 b(billiards)h(in)f(p)36 b(olygons)390 b(and)f(p)36 b(olyhedra)389 b(\(and)g(hence,)398 b(for)390 b(our)f(mec)-36 b(hanical)389 b(mo)36 b(del)390 b(of)g(a)2000 15719 y(piston)335 b(in)g(the)g(ideal)h(gas\))g(all)g(Ly) -36 b(apuno)g(v)336 b(exp)36 b(onen)-36 b(ts)335 b(v)-72 b(anish,)355 b(and)335 b(so)h(do)36 b(es)335 b(the)g(Kolmogoro)-36 b(v-Sinai)2000 18929 y(en)g(trop)g(y)-108 b(.)3951 22803 y(Systems)381 b(with)g(zero)h(Ly)-36 b(apuno)g(v)381 b(exp)36 b(onen)-36 b(ts)381 b(and)f(zero)i(en)-36 b(trop)g(y)381 b(are)g(not)g(regarded)g(as)g(c)-36 b(haotic,)2000 26014 y(but)491 b(they)g(still)h(ma)-36 b(y)492 b(b)36 b(e)492 b(ergo)36 b(dic.)753 b(In)491 b(fact,)507 b(billiards)492 b(in)g(generic)g(p)36 b(olygons)492 b Ft(ar)-66 b(e)491 b Fm(ergo)36 b(dic)493 b([KMS)o(].)2000 29224 y(Moreo)-36 b(v)g(er,)539 b(for)518 b(man)-36 b(y)517 b(nonergo)36 b(dic)517 b(p)36 b(olygons,)540 b(the)516 b(phase)h(space)g(is)h (foliated)g(b)-36 b(y)517 b(in)-36 b(v)-72 b(arian)-36 b(t)517 b(sub-)2000 32434 y(surfaces)434 b(on)f(whic)-36 b(h)434 b(the)f(dynamics)h(is)g(ergo)36 b(dic.)3951 35644 y(Ev)-36 b(en)609 b(though)g(there)f(are)h(no)g(similar)i(results,)653 b(to)609 b(our)g(kno)-36 b(wledge,)654 b(for)610 b(billiards)g(in)f (high-)2000 38854 y(dimensional)468 b(p)36 b(olyhedra,)478 b(one)468 b(can)g(exp)36 b(ect)468 b(that)g(they)-108 b(,)477 b(to)36 b(o,)477 b(ha)-36 b(v)g(e)468 b(similar)i(prop)36 b(erties.)681 b(That)468 b(is,)2000 42064 y(they)i(are)h(generically)h (ergo)36 b(dic)471 b(or)f(b)36 b(ecome)471 b(ergo)36 b(dic)471 b(after)f(trivial)i(reductions.)688 b(In)470 b(our)g(case,)481 b(the)2000 45275 y(billiard)336 b(in)f Fj(Q)g Fm(is,)355 b(p)36 b(erhaps,)355 b(ergo)36 b(dic)335 b(for)h(t)-36 b(ypical)336 b(v)-72 b(alues)336 b(of)g Fj(M)139 b Fm(,)355 b(or)335 b(else)h(the)e(phase)h(space)g(is)h (foliated)2000 48485 y(b)-36 b(y)349 b(in)-36 b(v)-72 b(arian)-36 b(t)350 b(submanifolds)f(on)g(whic)-36 b(h)350 b(the)e(dynamics)i(is)g(ergo)36 b(dic,)367 b(and)349 b(that)g(those)g(submanifolds)2000 51695 y(\014ll)535 b Fi(M)g Fm(prett)-36 b(y)535 b(densely)-108 b(.)882 b(In)534 b(the)h(latter)g(case,)561 b(one)535 b(w)-36 b(ould)535 b(hardly)g(distinguish)f(exp)36 b(erimen)-36 b(tally)2000 54905 y(b)36 b(et)-36 b(w)g(een)433 b(suc)-36 b(h)433 b(a)h(nonergo)36 b(dic)433 b(system)h(and)f(a)h(truly)g(ergo)36 b(dic)434 b(one.)3951 58115 y(Hence,)661 b(w)-36 b(e)616 b(can)f(assume)g(that)g(our)g(system)h(is)f(ergo)36 b(dic)616 b(or)g(v)-36 b(ery)616 b(close)g(to)f(ergo)36 b(dic)616 b(in)g(the)2000 61326 y(ab)36 b(o)-36 b(v)g(e)396 b(sense.)566 b(Then)395 b(almost)h(ev)-36 b(ery)396 b(tra)72 b(jectory)397 b(ev)-36 b(en)g(tually)396 b(b)36 b(eha)-36 b(v)g(es)396 b(according)f(to)h(the)f(in)-36 b(v)-72 b(arian)-36 b(t)2000 64536 y(measure)516 b Fj(\026)p Fm(,)537 b(indep)36 b(enden)-36 b(tly)515 b(of)i(the)e(initial)i(state.)827 b(In)516 b(particular,)537 b(for)517 b(an)-36 b(y)516 b(initial)h(gas)g(densit) -36 b(y)2000 67746 y(and)391 b(v)-36 b(elo)36 b(cit)-36 b(y)392 b(distribution)f(\(giv)-36 b(en)391 b(b)-36 b(y)391 b(the)g(function)f Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\),)400 b(see)391 b(Section)g(2\))g(the)g(h)-36 b(ydro)36 b(dynamic)2000 70956 y(regime)410 b(for)f(a)h(\014nite)e Fj(L)h Fm(is)h(only)f(v)-72 b(alid)410 b(on)f(a)h(\014nite)e(in)-36 b(terv)-72 b(al)409 b(of)h(time)f({)h(ev)-36 b(en)g(tually)410 b(the)e(system)i(will)26350 75417 y(23)p eop %%Page: 24 24 24 23 bop 2000 5424 a Fm(relax)377 b(to)f(equilibrium.)560 b(W)-108 b(e)376 b(exp)36 b(ect)376 b(in)g(fact)h(that)f(in)g(terms)f (of)i(the)f(\\macroscopic")i(v)-72 b(ariables,)388 b(sa)-36 b(y)-108 b(,)2000 8634 y(the)487 b(one)h(particle)f(distribution)g (function,)501 b(the)487 b(system)h(will)h(relax)f(to)g(an)g (e\013ectiv)-36 b(e)488 b(equilibrium,)2000 11844 y(as)525 b(de\014ned)f(b)-36 b(y)525 b(\(5.1\))h(in)f(terms)f(of)i Fj(\034)20815 12043 y Fs(eq)21785 11844 y Fm(,)548 b(whic)-36 b(h)525 b(is)h(m)-36 b(uc)g(h)523 b(smaller)j(than)f(the)f(exp)36 b(onen)-36 b(tially)526 b(long)2000 15055 y(time)435 b(\(in)f Fj(L)p Fm(\))h(required)f(for)i(the)e(ergo)36 b(dic)435 b(theorem.)582 b(So)435 b(the)f(real)h(question)g(is)g(ho)-36 b(w)435 b(do)36 b(es)435 b(this)g(time)2000 18265 y(dep)36 b(end)432 b(on)i Fj(L)p Fm(.)578 b(According)434 b(to)f(our)h(earlier)g (discussion)f Fj(\034)30857 18464 y Fo(c)31689 18265 y Fi(\030)369 b Fm(log)241 b Fj(L)433 b Fm(and)g Fj(\034)39405 18464 y Fs(eq)40744 18265 y Fi(\030)369 b Fj(L)43031 17783 y Fs(5)p Fo(=)p Fs(2)44498 18265 y Fm(.)3951 21475 y(A)-36 b(t)570 b(equilibrium,)606 b(the)570 b(distribution)f(of)j(co) 36 b(ordinates)571 b Fj(x)32405 21674 y Fo(i)33351 21475 y Fm(and)f(v)-36 b(elo)36 b(cities)572 b Fj(v)42390 21674 y Fo(i)43336 21475 y Fm(are)f(determined)2000 24685 y(b)-36 b(y)469 b(the)g(Liouville)h(measure)f Fj(\026)p Fm(,)478 b(whic)-36 b(h)470 b(is)f(uniform)g(in)g(the)g(phase)g(space.)685 b(Ph)-36 b(ysically)471 b(in)-36 b(teresting)2000 27895 y(\(and)490 b(only)h(observ)-72 b(able\))491 b(are)f(its)h(marginal)h (measures,)504 b(i.e.)750 b(pro)72 b(jections,)506 b(on)490 b(lo)-36 b(w)g(er-dimensional)2000 31106 y(subspaces.)798 b(The)506 b(marginal)i(measures)f(of)g(the)g(v)-36 b(elo)36 b(cities)508 b(are)f(normal)g(\(Gaussian\))g(for)g(large)h Fj(N)2000 34316 y Fm(\(as)434 b Fj(N)507 b Fi(!)369 b(1)p Fm(\).)3951 37526 y(In)452 b(particular,)457 b(eac)-36 b(h)452 b(individual)g(v)-36 b(elo)36 b(cit)-36 b(y)454 b Fj(v)26499 37725 y Fo(i)27327 37526 y Fm(con)-36 b(v)g(erges)452 b(in)g(la)-36 b(w)453 b(to)g(a)f(Maxw)-36 b(ellian)454 b(\(i.e.,)k(nor-)2000 40736 y(mal\))497 b(distribution)e(with)i(zero)f (mean)g(and)g(v)-72 b(ariance)497 b(2)p Fj(E)78 b(=)-72 b(N)615 b Fm(=)221 b(const.)766 b(The)497 b(same)f(holds)h(for)g(the) 2000 43946 y(\\piston")570 b(comp)36 b(onen)-36 b(t)568 b(of)j(the)d(v)-36 b(elo)36 b(cit)-36 b(y)-108 b(,)830 b(_)-586 b Fj(x)24089 44145 y Fs(0)25215 43946 y Fm(=)600 b Fj(V)27874 42827 y Fi(p)p 28981 42827 1398 54 v 1119 x Fj(M)140 b Fm(,)603 b(hence)569 b(the)g(piston)g(v)-36 b(elo)36 b(cit)-36 b(y)571 b Fj(V)859 b Fm(will)570 b(b)36 b(e)2000 47156 y(normally)516 b(distributed)e(with)h(zero)h(mean)f(and) g(standard)f(deviation)i(const)p Fj(=)41189 46037 y Fi(p)p 42296 46037 V 1119 x Fj(M)648 b Fm(=)221 b(const)p Fj(=L)p Fm(,)536 b(as)2000 50367 y Fj(L)369 b Fi(!)g(1)p Fm(.)555 b(In)361 b(our)g(case)g Fj(V)651 b Fm(has)361 b(standard)f(deviation) 28278 49033 y Fg(q)p 29385 49033 2602 45 v 1334 x Fm(7)p Fj(=)p Fm(24)r Fj(=L)369 b Fi(\031)g Fm(0)p Fj(:)p Fm(5)p Fj(=L)p Fm(.)555 b(This)362 b(conclusion)f(agrees)2000 53577 y(w)-36 b(ell)434 b(with)g(our)f(n)-36 b(umerical)434 b(data)18403 53095 y Fs(5)18929 53577 y Fm(.)3951 56787 y(The)552 b(equilibrium)g(distribution)f(of)i(the)f(piston)f(co)36 b(ordinate)553 b Fj(X)656 b Fm(is)553 b(also)g(determined)e(b)-36 b(y)552 b(the)p 2000 57953 20000 45 v 3496 58769 a Fk(5)3993 59171 y Fv(It)308 b(also)i(allo)-31 b(ws)311 b(us)d(to)h(estimate,)323 b(in)309 b(a)g(p)31 b(eculiar)309 b(w)-31 b(a)g(y)-92 b(,)323 b(the)308 b(time)i(of)g(con)-31 b(v)g(ergence)309 b(to)h(equilibrium,)323 b Fu(\034)46012 59337 y Fk(eq)46926 59171 y Fv(,)e(discussed)2000 61827 y(earlier.)483 b(Assume)340 b(all)g(the)g(initial)j(v)-31 b(elo)31 b(cities)341 b(are)f(of)g(order) f(one,)347 b(and)339 b(note)i(that)g(the)f(largest)g(Maxw)-31 b(ellian)343 b(v)-31 b(elo)31 b(cities)2000 64484 y(are)445 b(of)h(order)8233 63547 y Fh(p)p 9156 63547 1011 45 v 9156 64484 a Fu(N)555 b Fv(=)434 b Fu(L)12648 64082 y Fk(3)p Fa(=)p Fk(2)14040 64484 y Fv(.)720 b(Since)445 b(eac)-31 b(h)446 b(collision)h(with)g(the)e(piston)h(adds)f Fu(O)31 b Fv(\(1)p Fu(=L)p Fv(\))447 b(to)f(a)g(particle's)g(v)-31 b(elo)31 b(cit)-31 b(y)-92 b(,)467 b(it)2000 67141 y(tak)-31 b(es)439 b Fh(\030)423 b Fu(L)6941 66739 y Fk(5)p Fa(=)p Fk(2)8771 67141 y Fv(collisions)440 b(to)f(reac)-31 b(h)438 b(the)h(maxim)-31 b(um.)703 b(An)438 b(amazing)i(agreemen)-31 b(t)440 b(with)g(the)e(estimate)i Fu(\034)46984 67307 y Fk(eq)48321 67141 y Fh(\030)423 b Fu(L)50358 66739 y Fk(2)p Fa(:)p Fk(47)2000 69798 y Fv(rep)31 b(orted)369 b(near)g(Fig.)h(8.)26350 75417 y Fm(24)p eop %%Page: 25 25 25 24 bop 2000 5424 a Fm(pro)72 b(jection)369 b(of)h(the)e(uniform)h (measure)g Fj(dq)416 b Fm(on)368 b Fj(Q)h Fm(on)-36 b(to)369 b(the)g Fj(x)32105 5623 y Fs(0)32999 5424 y Fm(axis.)558 b(Before)370 b(w)-36 b(e)369 b(do)g(that,)381 b(let)369 b(us)g(get)2000 8634 y(rid)475 b(of)i Fj(M)615 b Fm(in)476 b(the)f(de\014nition)g(of)h(b)36 b(oth)476 b Fj(Q)f Fm(and)h Fj(x)26580 8833 y Fs(0)27106 8634 y Fm(.)705 b(A)476 b(simple)g(c)-36 b(hange)475 b(of)i(v)-72 b(ariable)476 b Fj(X)546 b Fm(=)441 b Fj(x)48320 8833 y Fs(0)48846 8634 y Fj(=)49496 7515 y Fi(p)p 50603 7515 1398 54 v 1119 x Fj(M)2000 11844 y Fm(allo)-36 b(ws)435 b(us)e(to)h(rede\014ne)e Fj(Q)i Fm(b)-36 b(y)14961 16383 y(0)369 b Fi(\024)g Fj(x)18121 16582 y Ff(\000)p Fo(N)19600 16701 y Fd(\000)20350 16383 y Fj(;)221 b(:)g(:)g(:)j(;)d(x)24002 16582 y Ff(\000)p Fs(1)25630 16383 y Fi(\024)369 b Fj(X)474 b Fi(\024)369 b Fj(x)30726 16582 y Fs(1)31252 16383 y Fj(;)221 b(:)g(:)g(:)j(;)d(x) 34904 16582 y Fo(N)35651 16701 y Fc(+)36752 16383 y Fi(\024)369 b Fj(L)2000 20922 y Fm(F)-108 b(urthermore,)432 b(rescaling)i Fj(Y)658 b Fm(=)369 b Fj(X)l(=L)434 b Fm(and)f Fj(y)24249 21121 y Fo(i)24994 20922 y Fm(=)369 b Fj(x)27114 21121 y Fo(i)27489 20922 y Fj(=L)434 b Fm(giv)-36 b(es)435 b(a)f(new,)g(simpler,)g(de\014nition)e(of)j Fj(Q)p Fm(:)15358 25460 y(0)370 b Fi(\024)f Fj(y)18414 25659 y Ff(\000)p Fo(N)19893 25778 y Fd(\000)20643 25460 y Fj(;)221 b(:)g(:)g(:)j(;)d(y) 24190 25659 y Ff(\000)p Fs(1)25817 25460 y Fi(\024)369 b Fj(Y)658 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51846 y Fi(p)p 33490 51846 1181 54 v 33490 52965 a Fj(N)2000 55846 y Fm(and)535 b(the)g(probabilit)-36 b(y)535 b(of)i(observing)e (larger)h(\015uctuations)f(is)h(exp)36 b(onen)-36 b(tially)536 b(small)g(in)g Fj(N)139 b Fm(.)883 b(Note)2000 59056 y(that)427 b(fact)h(is)g(indep)36 b(enden)-36 b(t)425 b(of)j(the)f(piston)g(mass,)i(as)f(it)g(has)f(to)h(b)36 b(e)427 b(for)h(an)f(equilibrium)h(\(classical\))2000 62267 y(system.)1185 b(This)636 b(is)g(consisten)-36 b(t)635 b(with)h(our)f(observ)-72 b(ation)636 b(of)h(the)e(piston)g(co) 36 b(ordinate)636 b(reac)-36 b(hing)636 b(a)2000 65477 y(p)36 b(ositiv)-36 b(e)480 b(constan)-36 b(t)479 b(v)-72 b(alue,)491 b Fi(j)p Fj(Y)615 b Fi(\000)327 b Fm(0)p Fj(:)p Fm(5)p Fi(j)448 b(\031)f Fm(0)p Fj(:)p Fm(1,)491 b(during)479 b(a)h(short)e(time)i(in)-36 b(terv)-72 b(al)479 b(0)447 b Fj(<)g(\034)595 b(<)446 b Fm(20,)492 b(since)2000 68687 y(our)508 b(initial)h(conditions)f(w)-36 b(ere)508 b(selected)g(according)g(to)h(the)e(densit)-36 b(y)508 b(function)g Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))507 b(whic)-36 b(h)508 b(has)2000 71897 y(probabilit)-36 b(y)434 b(exp)36 b(onen)-36 b(tially)435 b(small)f(in)f Fj(N)139 b Fm(.)26350 75417 y(25)p eop %%Page: 26 26 26 25 bop 2000 5424 a Fl(6)2152 b(Remarks)2000 9950 y Fm(1.)566 b(W)-108 b(e)394 b(c)-36 b(hec)g(k)g(ed)394 b(the)f(accuracy)i(of)g(our)f(computer)g(program)g(in)g(v)-72 b(arious)395 b(w)-36 b(a)g(ys.)566 b(A)395 b(simple)f(one)g(w)-36 b(as)2000 13160 y(based)391 b(on)g(the)g(e\013ect)g(of)h(round-o\013s)e (on)i(the)f(energy)g(of)h(the)f(system:)558 b(the)391 b(total)h(energy)f(w)-36 b(as)392 b(found)2000 16370 y(to)523 b(b)36 b(e)523 b(practically)h(constan)-36 b(t)523 b(o)-36 b(v)g(er)523 b(the)g(whole)h(p)36 b(erio)g(d)523 b(0)e Fj(<)g(\034)670 b(<)520 b Fm(1000.)849 b(A)523 b(more)g(sensitiv)-36 b(e)523 b(test)2000 19580 y(of)436 b(the)e(accuracy)i(of)g(the)e(computations)h(consists)g(in)g(using)g (the)f(time-rev)-36 b(ersal)435 b(symmetry)h(of)g(the)2000 22790 y(dynamics.)648 b(Supp)36 b(ose)455 b(at)i(some)g(time)524 b(\026)-718 b Fj(\034)557 b(>)407 b Fm(0)457 b(the)f(v)-36 b(elo)36 b(cities)458 b(of)g(all)f(gas)g(particles)g(and)f(the)g (piston)2000 26001 y(are)471 b(rev)-36 b(ersed)470 b(\()p Fj(v)10442 26200 y Fo(i)11250 26001 y Fi(!)432 b(\000)p Fj(v)14672 26200 y Fo(i)15048 26001 y Fm(\).)690 b(Then)470 b(the)g(system)h(is)g(supp)36 b(osed)470 b(to)h(trace)f(bac)-36 b(k)471 b(its)g(past)g(tra)72 b(jectory)2000 29211 y(and)565 b(arriv)-36 b(e)567 b(to)e(its)h(initial)h(state)f(with)f(all)i(v)-36 b(elo)36 b(cities)568 b(rev)-36 b(ersed)565 b(at)h(time)g(2)68 b(\026)-718 b Fj(\034)148 b Fm(.)975 b(W)-108 b(e)566 b(v)-36 b(eri\014ed)565 b(this)2000 32421 y(prop)36 b(ert)-36 b(y)410 b(n)-36 b(umerically)411 b(for)g(v)-72 b(arious)479 b(\026)-717 b Fj(\034)517 b(<)368 b Fm(50)412 b(and)e(alw)-36 b(a)g(ys)412 b(found)e(that)g(the)g(system)h(did)f(rep)36 b(eat)411 b(its)2000 35631 y(past)472 b(tra)72 b(jectory)474 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b(that)f(w)-36 b(e)464 b(set)f Fj(b)420 b Fm(=)g(2)464 b(in)f(our)h(main)f(exp)36 b(erimen)-36 b(ts.)669 b(When)463 b(w)-36 b(e)26350 75417 y(26)p eop %%Page: 27 27 27 26 bop 2000 5424 a Fm(c)-36 b(hanged)360 b(it)g(to)g Fj(b)369 b Fm(=)g(20)361 b(\(this)e(made)i(the)e(piston)h(10)h(times)f (hea)-36 b(vier\),)376 b(then)359 b(the)h(oscillations)i(started)2000 8634 y(sligh)-36 b(tly)417 b(later)g(and)f(their)g(amplitude)g(w)-36 b(as)417 b(sligh)-36 b(tly)417 b(larger,)k(but)415 b(otherwise)i(the)f (picture)f(w)-36 b(as)417 b(v)-36 b(ery)2000 11844 y(m)g(uc)g(h)444 b(the)h(same.)614 b(When)444 b(w)-36 b(e)446 b(c)-36 b(hanged)445 b Fj(b)g Fm(to)g(0.2)h(\(and)f(this)g(made)g(the)g(piston) g(10)g(times)h(ligh)-36 b(ter\),)2000 15055 y(then)517 b(the)g(oscillations)j(started)d(at)h(ab)36 b(out)518 b(the)f(same)h(time)g(as)g(for)h Fj(b)512 b Fm(=)g(2,)540 b(but)516 b(they)i(damp)36 b(ened)2000 18265 y(somewhat)434 b(faster.)3951 21475 y(W)-108 b(e)488 b(also)h(tried)f(to)g(c)-36 b(hange)488 b(the)g(piston)f(mass)i Fj(M)28833 21674 y Fo(L)30016 21475 y Fm(ev)-36 b(en)489 b(more)f(drastically)-108 b(.)743 b(When)487 b(w)-36 b(e)489 b(set)f(it)2000 24685 y(to)d Fj(L)4526 24203 y Fs(3)5537 24685 y Fm(\(insteas)h(of)g Fj(L)12791 24203 y Fs(2)13316 24685 y Fm(\),)499 b(it)485 b(app)36 b(eared)485 b(that)g(oscillations)h(started)f(only)h(after)g (a)f(v)-36 b(ery)486 b(long)g(initial)2000 27895 y(quiescen)-36 b(t)371 b(p)36 b(erio)g(d.)557 b(But)370 b(w)-36 b(e)371 b(did)f(not)h(examine)g(this)g(fact)g(in)g(detail,)384 b(see)371 b([GPL)o(].)558 b(On)370 b(the)g(con)-36 b(trary)-108 b(,)2000 31106 y(when)357 b(w)-36 b(e)357 b(set)g(the)f(piston)h(mass)g Fj(M)19483 31305 y Fo(L)20535 31106 y Fm(to)h Fj(L)e Fm(\(instead)h(of)h Fj(L)30497 30624 y Fs(2)31022 31106 y Fm(\),)373 b(large)358 b(oscillations)g(started)f(v)-36 b(ery)357 b(so)36 b(on,)2000 34316 y(but)433 b(v)-36 b(ery)434 b(quic)-36 b(kly)435 b(damp)36 b(ened)432 b(and)h(disapp)36 b(eared.)3951 40736 y(3.)923 b(W)-108 b(e)548 b(note)g(that)g(Eq.)h (\(3.3\))g(describ)36 b(es)548 b(the)g(time)h(ev)-36 b(olution)549 b(of)g(a)f(damp)36 b(ed)548 b(harmonic)g(os-)2000 43946 y(cillator.)845 b(Accepting)522 b(\(3.3\))h(o)-36 b(v)g(er)522 b(some)g(time)h(range,)544 b(sa)-36 b(y)-108 b(,)545 b Fj(\034)668 b Fi(2)519 b Fm([30)p Fj(;)221 b Fm(800])525 b(for)d Fj(L)e Fm(=)f(100,)546 b(w)-36 b(e)522 b(can)2000 47156 y(then)436 b(lo)36 b(ok)439 b(at)e(the)g(\\in)-36 b(v)g(erse)438 b(problem")f(of)h(\014nding)e(the) h(e\013ectiv)-36 b(e)437 b(spring)g(constan)-36 b(t)437 b(and)f(damping)2000 50367 y(co)36 b(e\016cien)-36 b(t.)3951 53577 y(Using)434 b(the)f(original)i(v)-72 b(ariables,)435 b Fj(t)e Fm(and)g Fj(X)24807 53776 y Fo(L)25503 53577 y Fm(\()p Fj(t)p Fm(\),)g(w)-36 b(e)434 b(write)15375 57390 y Fj(M)16633 57589 y Fo(L)17461 56491 y Fj(d)18137 56009 y Fs(2)18663 56491 y Fj(X)19742 56690 y Fo(L)p 17461 57080 2977 45 v 18114 58301 a Fj(dt)19260 57917 y Fs(2)20866 57390 y Fm(+)295 b Fj(K)23280 57589 y Fo(L)23974 57390 y Fm(\()p Fj(X)25559 57589 y Fo(L)26550 57390 y Fi(\000)g Fj(L=)p Fm(2\))h(+)f Fj(\021)32814 57589 y Fo(L)33642 56491 y Fj(dX)35397 56690 y Fo(L)p 33642 57080 2451 45 v 34294 58301 a Fj(dt)36594 57390 y Fm(=)369 b(0)2000 61202 y(whic)-36 b(h)433 b(has)h(the)f(solution)h Fj(X)16281 61401 y Fo(L)17272 61202 y Fi(\000)295 b Fj(L=)p Fm(2)370 b Fi(\030)f Fj(e)23160 60720 y Fo(\013t)24593 61202 y Fm(with)15875 65015 y Fj(\013)378 b Fm(=)369 b Fi(\000)20260 64116 y Fj(\021)20902 64315 y Fo(L)p 19627 64705 2604 45 v 19627 65926 a Fm(2)p Fj(M)21535 66125 y Fo(L)22659 65015 y Fi(\006)295 b Fj(i)24652 62935 y Fg(s)p 25759 62935 2220 45 v 25968 64116 a Fj(K)27075 64315 y Fo(L)p 25892 64705 1954 45 v 25892 65926 a Fj(M)27150 66125 y Fo(L)28421 63067 y Fg(")29067 65015 y Fm(1)g Fi(\000)33008 64116 y Fj(\021)33698 63634 y Fs(2)33650 64445 y Fo(L)p 31474 64705 4406 45 v 31474 65926 a Fm(4)p Fj(K)33231 66125 y Fo(L)33926 65926 y Fj(M)35184 66125 y Fo(L)36012 63067 y Fg(#)36658 63373 y Fs(1)p Fo(=)p Fs(2)2000 68828 y Fm(This)524 b(yields,)548 b(to)524 b(the)g(lo)-36 b(w)g(est)524 b(order)g(in)g Fj(\021)22986 68346 y Fs(2)22938 69156 y Fo(L)23633 68828 y Fj(=)p Fm(4)p Fj(K)26040 69027 y Fo(L)26735 68828 y Fj(M)27993 69027 y Fo(L)28689 68828 y Fm(,)547 b(remem)-36 b(b)36 b(ering)523 b(that)h Fj(M)41658 69027 y Fo(L)42876 68828 y Fm(=)f(2)p Fj(L)45946 68346 y Fs(2)46996 68828 y Fm(and)g(that)2000 72038 y Fj(!)417 b Fm(=)368 b(2)p Fj(\031)48 b(=\034)7258 72237 y Fs(p)26 b(er)8647 72038 y Fm(,)404 b(with)396 b Fj(\034)12902 72237 y Fs(p)26 b(er)14660 72038 y Fm(=)369 b Fj(t)16511 72237 y Fs(p)26 b(er)17899 72038 y Fj(=L)370 b Fi(\031)f Fm(1)p Fj(:)p Fm(63,)405 b Fj(K)25390 72237 y Fo(L)26454 72038 y Fi(\031)369 b Fm(8)p Fj(\031)29292 71556 y Fs(2)29817 72038 y Fj(=\034)31180 71556 y Fs(2)31032 72366 y(p)26 b(er)32422 72038 y Fm(,)403 b(i.e.)567 b(the)395 b(e\013ectiv)-36 b(e)397 b(\\restoring)f(force")26350 75417 y(27)p eop %%Page: 28 28 28 27 bop 2000 5424 a Fj(K)3107 5623 y Fo(L)4233 5424 y Fm(is)431 b(indep)36 b(enden)-36 b(t)428 b(of)k Fj(L)p Fm(.)577 b(On)430 b(the)g(other)g(hand,)h(the)f(damping)h(co)36 b(e\016cien)-36 b(t)430 b(is)h Fj(\021)43208 5623 y Fo(L)44272 5424 y Fm(=)369 b(4)p Fj(L\025)47947 5623 y Fo(L)48642 5424 y Fm(,)432 b(w)-36 b(ere)2000 8634 y Fj(\025)2759 8833 y Fo(L)3835 8634 y Fm(w)g(as)382 b(found)e(exp)36 b(erimen)-36 b(tally)382 b(to)g(decrease)f(as)g Fj(\025)27568 8833 y Fo(L)28632 8634 y Fi(\030)369 b Fj(L)30919 8152 y Ff(\000)p Fo(\015)32624 8634 y Fm(with)382 b Fj(\015)440 b Fm(=)369 b(1)p Fj(:)p Fm(3,)393 b(see)381 b(Section)g(4.)561 b(Hence)2000 11844 y Fj(\021)2642 12043 y Fo(L)3706 11844 y Fi(\030)369 b Fj(L)5993 11362 y Fs(1)p Ff(\000)p Fo(\015)8157 11844 y Fm(=)f Fj(O)36 b Fm(\()p Fj(L)11958 11362 y Ff(\000)p Fs(0)p Fo(:)p Fs(3)13948 11844 y Fm(\),)433 b(i.e.)579 b(the)433 b(damping)g(gets)h(w)-36 b(eak)g(er)435 b(as)f Fj(L)369 b Fi(!)g(1)p Fm(.)2000 18717 y Fl(7)2152 b(Discussion)2000 23242 y Fm(W)-108 b(e)378 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b(w)-36 b(e)608 b(c)-36 b(ho)36 b(ose)608 b(for)g Fj(p)p Fm(\()p Fi(j)p Fj(v)48 b Fi(j)p Fm(\))607 b(a)2000 58554 y(Maxw)-36 b(ellian,)403 b(w)-36 b(e)394 b(exp)36 b(ect)393 b(only)h(thermal)f(\015uctuations)f(of)i(order)e Fj(O)36 b Fm(\()p Fj(L)37062 58072 y Ff(\000)p Fs(3)p Fo(=)p Fs(2)39261 58554 y Fm(\))393 b(in)g(the)f(p)36 b(osition)394 b(of)g(the)2000 61765 y(piston.)940 b(This)555 b(is)g(indeed)e(what)i(w)-36 b(e)554 b(found)g(n)-36 b(umerically)-108 b(.)941 b(F)-108 b(or)554 b(other,)584 b(non-maxw)-36 b(ellian,)586 b(initial)2000 64975 y(densities)519 b(the)h(question)f(turns)g(out)g(to)h(b)36 b(e)519 b(far)i(from)f (trivial.)838 b(W)-108 b(e)519 b(are)h(curren)-36 b(tly)519 b(w)-36 b(orking)521 b(with)2000 68185 y(more)442 b(general)g(initial)h (densities)f(and)f(will)i(rep)36 b(ort)441 b(results)h(in)g(a)g (separate)g(pap)36 b(er)441 b([CCLP)q(].)603 b(Belo)-36 b(w)2000 71395 y(w)g(e)434 b(outline)f(our)h(program)f(and)g(men)-36 b(tion)433 b(some)h(preliminary)g(\014ndings.)26350 75417 y(28)p eop %%Page: 29 29 29 28 bop 3951 5424 a Fm(F)-108 b(or)499 b(simplicit)-36 b(y)-108 b(,)517 b(w)-36 b(e)500 b(assume)g(that)f Fj(p)p Fm(\()p Fj(x;)221 b(v)48 b Fm(\))481 b(=)g Fj(p)p Fm(\()p Fi(j)p Fj(v)48 b Fi(j)p Fm(\))498 b(and)h Fj(X)104 b Fm(\(0\))482 b(=)f Fj(L=)p Fm(2,)517 b Fj(V)290 b Fm(\(0\))481 b(=)g(0.)777 b(In)499 b(this)2000 8634 y(case)583 b(there)e(is)h(no)g (apriori)h(bias)f(for)h(the)e(piston)h(to)g(mo)-36 b(v)g(e)582 b(at)h(all,)620 b(and)581 b(as)i(already)g(noted,)619 b(the)2000 11844 y(h)-36 b(ydro)36 b(dynamical)453 b(\(deterministic\)) f(equations,)458 b(see)452 b([CLS],)458 b(predict)451 b(that,)457 b(in)452 b(the)g(limit)h Fj(L)401 b Fi(!)g(1)p Fm(,)2000 15055 y(the)535 b(system)h(w)-36 b(ould)535 b(remain)g(frozen)h(in)f(the)g(initial)i(state:)782 b Fj(Y)288 b Fm(\()p Fj(\034)148 b Fm(\))542 b Fi(\021)h Fj(Y)289 b Fm(\(0\))542 b(=)g(0)p Fj(:)p Fm(5)536 b(and)f Fj(W)181 b Fm(\()p Fj(\034)148 b Fm(\))542 b 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b(t)519 b(pap)36 b(er,)541 b(w)-36 b(e)520 b(receiv)-36 b(ed)520 b(a)g(message)h(from)f (E.)g(Caglioti)2000 15055 y(and)347 b(E.)h(Presutti)f(who)h(\(a\))g (pro)-36 b(v)g(ed)347 b(that)g(the)h(h)-36 b(ydro)36 b(dynamical)348 b(equations)g(are)g(stable)g(when)f Fj(p)p Fm(\()p Fi(j)p Fj(v)48 b Fi(j)p Fm(\))2000 18265 y(is)439 b(monotonically)h(nonincreasing)e(in)g Fi(j)p Fj(v)48 b Fi(j)p Fm(,)440 b(i.e.)f Fj(p)26404 17783 y Ff(0)26714 18265 y Fm(\()p Fi(j)p Fj(v)48 b Fi(j)p Fm(\))377 b Fi(\024)g Fm(0,)440 b(and)e(\(b\))g(suggested)g(that)g(they)g(migh)-36 b(t)2000 21475 y(b)36 b(e)570 b(unstable)f(for)i(our)f(class)h(on)f (non-monotone)f Fj(p)p Fm(\()p Fi(j)p Fj(v)48 b Fi(j)p Fm(\).)987 b(W)-108 b(e)570 b(c)-36 b(hec)g(k)g(ed)570 b(the)f(suggestion)i(\(b\))e(for)2000 24685 y(our)471 b(particular)h(densit)-36 b(y)472 b(\(3.1\))g(and)f(found)g(that)g(it)h (w)-36 b(as)473 b(indeed)e(correct;)491 b(w)-36 b(e)472 b(pro)-36 b(v)g(ed)471 b(that)g(small)2000 27895 y(p)36 b(erturbations)572 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b(a.)353 b(Sinai,)368 b Ft(Sc)-66 b(aling)389 b(Dynamic)f(of)i(a)h(Massive)e(Piston)6949 41507 y(in)464 b(a)h(Cub)-66 b(e)465 b(Fil)66 b(le)-66 b(d)464 b(With)g(Ide)-66 b(al)465 b(Gas:)598 b(Exact)464 b(R)-66 b(esults)p Fm(,)434 b(this)f(v)-36 b(olume)434 b(of)h(the)e(journal.)2000 45824 y([C])3288 b(N.)518 b(Cherno)-36 b(v,)539 b Ft(Entr)-66 b(opy,)561 b(Lyapunov)542 b(exp)-66 b(onents)541 b(and)h(me)-66 b(an-fr)g(e)g(e)539 b(p)-66 b(ath)542 b(for)g(bil)66 b(liar)-66 b(ds)p Fm(,)539 b(J.)6949 49035 y(Statist.)434 b(Ph)-36 b(ys.)434 b Fb(88)g Fm(\(1997\),)g(1-29.)2000 53352 y([CFS])1716 b(I.)573 b(P)-108 b(.)573 b(Cornfeld,)608 b(S.)572 b(V.)h(F)-108 b(omin,)608 b(and)572 b(Y)-108 b(a.)573 b(G.)f(Sinai,)608 b Ft(Er)-66 b(go)g(dic)591 b(The)-66 b(ory)p Fm(.)573 b(F)-108 b(undamen)-36 b(tal)6949 56562 y(Principles)434 b(of)g(Mathematical)g(Sciences,)g Fb(245)g Fm(Springer-V)-108 b(erlag,)433 b(New)h(Y)-108 b(ork,)434 b(1982.)2000 60879 y([DGL])1400 b(D.)570 b(D)36 b(\177)-686 b(urr,)603 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b(H.)383 b(Masur,)393 b(and)381 b(J.)i(Smillie,)394 b Ft(Er)-66 b(go)g(dicity)416 b(of)h(bil)66 b(liar)-66 b(d)417 b(\015ows)i(and)f(quadr)-66 b(atic)6949 41954 y(di\013er)g(entials)p Fm(,)432 b(Annals)i(of)g(Math.)g Fb(124)g Fm(\(1986\),)g(293{311.)2000 46271 y([KBM])1103 b(E.)549 b(Kestemon)-36 b(t,)578 b(C.)549 b(V)-108 b(an)548 b(den)g(Bro)36 b(ec)-36 b(k,)579 b(and)548 b(M.)h(Mansour,)577 b Ft(The)570 b(\\adiab)-66 b(atic")570 b(piston:)6949 49481 y(and)465 b(yet)g(it)f(moves)p Fm(,)433 b(Europh)-36 b(ys.)433 b(Lett.,)h Fb(49)g Fm(\(2000\),)h(143{149.)2000 53798 y([LPS])1806 b(J.)403 b(L.)g(Leb)36 b(o)-36 b(witz,)409 b(J.)403 b(Piasec)-36 b(ki,)410 b(and)402 b(Y)-108 b(a.)403 b(Sinai,)409 b Ft(Sc)-66 b(aling)434 b(dynamics)i(of)g(a)h(massive)e (piston)6949 57008 y(in)563 b(an)g(ide)-66 b(al)563 b(gas)p Fm(.)542 b(In:)793 b(Hard)540 b(ball)i(systems)f(and)g(the)f(Loren)-36 b(tz)540 b(gas,)569 b(217{227,)h(Encycl.)6949 60219 y(Math.)434 b(Sci.,)g Fb(101)p 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b(actic)g(e)p Fm(,)437 b(Princeton)g(Univ.)i (Press,)f(Princeton)6949 23689 y(NJ,)c(1993.)2000 28006 y([MN])2060 b(M.)690 b(Matsumoto)g(and)f(T.)h(Nishim)-36 b(ura,)754 b Ft(Mersenne)699 b(Twister:)1068 b(A)699 b(623-dimensional)66 b(ly)6949 31216 y(e)-66 b(quidistribute)g(d)567 b(uniform)h(pseudor)-66 b(andom)570 b(numb)-66 b(er)568 b(gener)-66 b(ator)p Fm(,)574 b(A)-36 b(CM)547 b(T)-108 b(rans.)547 b(Mo)36 b(del.)6949 34426 y(Comp.)434 b(Sim)-36 b(ul.)434 b Fb(8)f Fm(\(1998\))i(3-30.)2000 38744 y([V])3252 b(Y)-108 b(a.)465 b(B.)f(V)-108 b(orob)36 b(ets,)472 b Ft(Er)-66 b(go)g(dicity)491 b(of)i(bil)66 b(liar)-66 b(ds)493 b(in)f(p)-66 b(olygons:)653 b(explicit)492 b(examples)p Fm(,)472 b(Usp)36 b(ekhi)6949 41954 y(Mat.)434 b(Nauk)g Fb(51)g Fm(\(1996\),)h(151{152.)26350 75417 y(33)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------0205122206494--