%!PS-Adobe-2.0 %%Creator: dvips 5.485 Copyright 1986-92 Radical Eye Software %%Title: conf_IEEE.dvi %%Pages: 15 1 %%BoundingBox: 0 0 612 792 %%EndComments %DVIPSCommandLine: dvips -o conf_IEEE.ps conf_IEEE.dvi %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N} B /TR{translate}N /isls false N /vsize 11 72 mul N /@rigin{isls{[0 -1 1 0 0 0] concat}if 72 Resolution div 72 VResolution div neg scale isls{Resolution hsize -72 div mul 0 TR}if Resolution VResolution vsize -72 div 1 add mul TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get round 5 exch put 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 /IE 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 IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /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 dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 add]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]}if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 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 pop}N /eop{SI restore showpage userdict /eop-hook known{eop-hook} if}N /@start{userdict /start-hook known{start-hook}if /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 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 /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval(Display)eq}{pop false}ifelse}{false}ifelse end{{gsave TR -.1 -.1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 -.1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /a{ moveto}B /delta 0 N /tail{dup /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: special.pro 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$SavedState save N userdict maxlength dict begin /magscale false def normalscale currentpoint TR /psf$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 TeXDict begin 40258431 52099146 1000 300 300 @start /Fa 1 51 df<7FFFFF80FFFFFF80C0000180C0000180C0000180C0000180C0000180C0000180C0000180C0 000180C0000180C0000180C0000180C0000180C0000180C0000180C0000180C0000180C0000180 C0000180C0000180C0000180C0000180FFFFFF807FFFFF8019197C9B22>50 D E /Fb 1 101 df<007800180018003000300030073018E0306060606060C0C0C0C0C0C841C8 62D03C600D117E9010>100 D E /Fc 26 120 df<000FE000007FF80000F81C0001E07C0003E0 7C0007C07C0007C07C0007C0380007C0000007C0000007C0000007C1FE00FFFFFE00FFFFFE0007 C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E00 07C03E0007C03E0007C03E0007C03E0007C03E0007C03E003FF9FFC03FF9FFC01A20809F1D>12 D<387CFEFEFE7C3807077C860F>46 D<00700000F00007F000FFF000F9F00001F00001F00001F0 0001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F0 0001F00001F00001F00001F00001F00001F0007FFFC07FFFC0121D7D9C1A>49 D<03FC001FFF80381FC07C07E0FE03F0FE03F0FE03F8FE01F87C01F83801F80003F80003F00003 F00007E0000FC0000F00001E00003C0000700000E00001C0180380180600180C00381FFFF03FFF F07FFFF0FFFFF0FFFFF0151D7E9C1A>I<03FC000FFF801C0FC03C07E07E03F07E03F07E03F07E 07F03C07E00007E0000FC0003F8003FE0003FC00000F800007C00003E00003F00003F83803F87C 03F8FE03F8FE03F8FE03F0FC03F07807E03C0FC01FFF8003FC00151D7E9C1A>I<387CFEFEFE7C 38000000000000387CFEFEFE7C3807147C930F>58 D66 D68 D76 D80 D<03FC080FFF381E03F83800F8700078700038F00038F00018F00018F80000FC00007FC0007FFE 003FFF801FFFC00FFFE007FFF000FFF80007F80000FC00007C00003CC0003CC0003CC0003CE000 38E00078F80070FE01E0EFFFC081FF00161F7D9E1D>83 D<07FC001FFF803F07C03F03E03F01F0 3F01F00C01F00001F0003FF007FDF01F81F03E01F07C01F0F801F0F801F0F801F0FC02F07E0CF0 3FF87E0FE03E17147F9319>97 D<0007F80007F80000F80000F80000F80000F80000F80000F800 00F80000F80000F80000F801F8F807FEF81F83F83E01F87E00F87C00F87C00F8FC00F8FC00F8FC 00F8FC00F8FC00F8FC00F87C00F87C00F87E00F83E01F81F07F80FFEFF03F8FF18207E9F1D> 100 D<01FE0007FF800F83C01E01E03E00F07C00F07C00F8FC00F8FFFFF8FFFFF8FC0000FC0000 FC00007C00007C00003E00181E00180F807007FFE000FF8015147F9318>I<003F8000FFC003E3 E007C7E00787E00F87E00F83C00F80000F80000F80000F80000F8000FFFC00FFFC000F80000F80 000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80 000F80007FF8007FF80013207F9F10>I<1C003E007F007F007F003E001C000000000000000000 00000000FF00FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F 00FFE0FFE00B217EA00E>105 D108 DII<01FF0007FFC01F83F03E00F8 3E00F87C007C7C007CFC007EFC007EFC007EFC007EFC007EFC007E7C007C7C007C3E00F83E00F8 1F83F007FFC001FF0017147F931A>II114 D<0FE63FFE701E600EE006E006F800FFC0 7FF83FFC1FFE03FE001FC007C007E007F006F81EFFFCC7F010147E9315>I<0300030003000300 070007000F000F003F00FFFCFFFC1F001F001F001F001F001F001F001F001F001F001F061F061F 061F061F060F8C07F803F00F1D7F9C14>II119 D E /Fd 19 122 df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e 27 122 df<007000F001E003C007800F00 1E001C00380038007000700070007000E000E000E000E000E000E000E000E00070007000700070 00380038001C001E000F00078003C001F000F000700C24799F18>40 D<6000F00078003C001E00 0F000780038001C001C000E000E000E000E00070007000700070007000700070007000E000E000 E000E001C001C0038007800F001E003C007800F00060000C247C9F18>I<3078FCFC7830060677 8518>46 D<01800380038007800F803F80FF80FB80438003800380038003800380038003800380 038003800380038003800380038003807FFCFFFE7FFC0F1C7B9B18>49 D<03F0000FFE003FFF00 7C0F807003C0E001C0F000E0F000E06000E00000E00000E00001C00001C00003C0000780000F00 001E00003C0000780000F00001E00007C0000F80001E00E03C00E07FFFE0FFFFE07FFFE0131C7E 9B18>I<183C7E7E3C180000000000000000183C7E7E3E1E0E1C3C78F060071A789318>59 D<7FFC00FFFF007FFF801C03C01C01C01C00E01C00E01C00E01C00E01C01E01C01C01C07C01FFF 801FFF001FFFC01C03C01C00E01C00F01C00701C00701C00701C00701C00F01C00E01C03E07FFF C0FFFF807FFE00141C7F9B18>66 D69 DI<7FFF00FFFF807FFF0001C00001C00001C00001C00001C00001C00001C00001C00001C000 01C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C000 7FFF00FFFF807FFF00111C7D9B18>73 D<0FF0001FFC003FFE003C0F0018070000038000038000 FF8007FF801FFF807F0380780380E00380E00380E00380F00780780F803FFFF81FFDF807F0F815 147E9318>97 D<7E0000FE00007E00000E00000E00000E00000E00000E00000E3E000EFF800FFF C00FC1E00F80E00F00700E00700E00380E00380E00380E00380E00380E00380F00700F00700F80 E00FC1E00FFFC00EFF80063E00151C809B18>I<01FE0007FF001FFF803E078038030070000070 0000E00000E00000E00000E00000E00000E000007000007001C03801C03E03C01FFF8007FF0001 FC0012147D9318>I<001F80003F80001F8000038000038000038000038000038003E3800FFB80 1FFF803C1F80380F80700780700380E00380E00380E00380E00380E00380E00380700780700780 380F803C1F801FFFF00FFBF803E3F0151C7E9B18>I<01F00007FC001FFE003E0F003807807003 80700380E001C0E001C0FFFFC0FFFFC0FFFFC0E000007000007001C03801C03E07C01FFF8007FF 0001F80012147D9318>I<001F80007FC000FFE000E1E001C0C001C00001C00001C0007FFFC0FF FFC0FFFFC001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001C00001 C00001C00001C0007FFF007FFF007FFF00131C7F9B18>I<01E1F007FFF80FFFF81E1E301C0E00 3807003807003807003807003807001C0E001E1E001FFC001FF80039E0003800001C00001FFE00 1FFFC03FFFE07801F0700070E00038E00038E00038E000387800F07E03F01FFFC00FFF8001FC00 151F7F9318>I<7E0000FE00007E00000E00000E00000E00000E00000E00000E3E000EFF800FFF C00FC1C00F80E00F00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00 E00E00E07FC7FCFFE7FE7FC7FC171C809B18>I<038007C007C007C0038000000000000000007F C0FFC07FC001C001C001C001C001C001C001C001C001C001C001C001C001C001C0FFFFFFFFFFFF 101D7C9C18>I108 DI<7E3E00FEFF807FFFC00FC1C00F80E00F00E00E00E00E00E00E00E00E 00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E07FC7FCFFE7FE7FC7FC1714809318>I< 01F0000FFE001FFF003E0F803803807001C07001C0E000E0E000E0E000E0E000E0E000E0F001E0 7001C07803C03C07803E0F801FFF000FFE0001F00013147E9318>I114 D<07F7003FFF007FFF00780F00E00700E00700E007 007C00007FE0001FFC0003FE00001F00600780E00380E00380F00380F80F00FFFF00FFFC00E7F0 0011147D9318>I<0180000380000380000380000380007FFFC0FFFFC0FFFFC003800003800003 80000380000380000380000380000380000380000380400380E00380E00380E001C1C001FFC000 FF80003E0013197F9818>I<7F8FF0FF8FF87F8FF00E01C00E03800E0380070380070700070700 038700038700038E0001CE0001CE0001CC0000CC0000DC00007800007800007800007000007000 00700000F00000E00079E0007BC0007F80003F00001E0000151E7F9318>121 D E /Ff 18 119 df<00008000000001C000000001C000000001C000000003E000000003E00000 0003E000000004F000000004F000000008F800000008780000000878000000103C000000103C00 0000303E000000201E000000201E000000400F000000400F000000400F000000FFFF8000008007 8000018007C000010003C000010003C000020001E000020001E000020001E000040000F0000E00 00F0001F0001F800FFC00FFF8021207E9F25>65 DI<03F0200C 0C601803E03000E06000E0600060E00060E00020E00020E00020F00000F800007C00007F80003F FC001FFF0007FF8001FFC0000FE00003E00001E00000F0000070800070800070800070800070C0 0060C000E0E000C0F80180C6030081FC0014217C9F1C>83 D<001800001800003C00003C00003C 00004E00004E0000CF000087000087000103800103800303C00201C00201C007FFE00400E00400 E0080070080070180038380078FE01FF18177F961C>97 D<007E080381980700780C00381C0018 380018780008700008F00000F00000F00000F00000F00000F00000F00000700008780008380008 1C00100C0010070060038180007E0015177E961B>99 DII<007E080381980700780C00381C00183800187800 08700008F00000F00000F00000F00000F00000F003FEF000387000387800383800381C00380C00 380700380380D8007F0817177E961D>103 DII108 DI<00FE000383800E00E01C00703C00783800 3878003C70001CF0001EF0001EF0001EF0001EF0001EF0001EF0001E70001C78003C3800383C00 781C00700E00E003838000FE0017177E961D>111 D114 D<0FC4302C601C400CC004C004C004E00070 007F003FE00FF801FC001C000E0006800680068006C004E008D81087E00F177E9615>I<7FFFFC 70381C403804403804C03806803802803802803802003800003800003800003800003800003800 00380000380000380000380000380000380000380000380003FF8017177F961B>III E /Fg 6 110 df<0018007800F001E003C007800F001F001E003E003C007C007C007800F800F8 00F800F800F800F800F800F800F800F800F800F800F800F800F800F800F800F800F800F800F800 F800F8000D25707E25>56 D58 D<007C007C007C007C007C007C007C007C007C007C007C00 7C007C007C007C007C007C007C007C007C007C007C007C007C00F800F800F800F001F001E003E0 03C0078007000E001C003800F000C000F00038001C000E000700078003C003E001E001F000F000 F800F800F8007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C 007C007C007C007C007C007C007C0E4D798025>60 D62 D108 DI E /Fh 44 122 df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i 15 107 df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j 16 118 df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k 7 52 df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l 32 122 df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m 27 122 df<000E00001E00007E0007FE00FFFE 00FFFE00F8FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE 0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE 0000FE0000FE0000FE0000FE0000FE007FFFFE7FFFFE7FFFFE17277BA622>49 D<00FF800003FFF0000FFFFC001F03FE003800FF007C007F80FE003FC0FF003FC0FF003FE0FF00 1FE0FF001FE07E001FE03C003FE000003FE000003FC000003FC000007F8000007F000000FE0000 00FC000001F8000003F0000003E00000078000000F0000001E0000003C00E0007000E000E000E0 01C001C0038001C0070001C00FFFFFC01FFFFFC03FFFFFC07FFFFFC0FFFFFF80FFFFFF80FFFFFF 801B277DA622>I<007F800003FFF00007FFF8000F81FE001F00FE003F80FF003F807F803F807F 803F807F801F807F800F007F800000FF000000FF000000FE000001FC000001F8000007F00000FF C00000FFF0000001FC000000FE0000007F0000007F8000003FC000003FC000003FE000003FE03C 003FE07E003FE0FF003FE0FF003FE0FF003FC0FF007FC07E007F807C007F003F01FE001FFFFC00 07FFF00000FF80001B277DA622>I<00000E0000001E0000003E0000007E000000FE000000FE00 0001FE000003FE0000077E00000E7E00000E7E00001C7E0000387E0000707E0000E07E0000E07E 0001C07E0003807E0007007E000E007E000E007E001C007E0038007E0070007E00E0007E00FFFF FFF8FFFFFFF8FFFFFFF80000FE000000FE000000FE000000FE000000FE000000FE000000FE0000 00FE00003FFFF8003FFFF8003FFFF81D277EA622>I<00003FF001800003FFFE0380000FFFFF87 80003FF007DF8000FF8001FF8001FE00007F8003FC00003F8007F000001F800FF000000F801FE0 000007801FE0000007803FC0000007803FC0000003807FC0000003807F80000003807F80000000 00FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80 00000000FF8000000000FF80000000007F80000000007F80000000007FC0000003803FC0000003 803FC0000003801FE0000003801FE0000007000FF00000070007F000000E0003FC00001E0001FE 00003C0000FF8000F800003FF007E000000FFFFFC0000003FFFF000000003FF8000029297CA832 >67 D73 D82 D<007F806003FFF0E007FFF9E00F807FE01F001FE03E0007E07C0003E07C0001E0FC0001E0FC00 01E0FC0000E0FE0000E0FE0000E0FF000000FFC000007FFE00007FFFE0003FFFFC001FFFFE000F FFFF8007FFFFC003FFFFC0007FFFE00007FFF000007FF000000FF8000007F8000003F8600001F8 E00001F8E00001F8E00001F8F00001F0F00001F0F80003F0FC0003E0FF0007C0FFE01F80F3FFFF 00E1FFFE00C01FF0001D297CA826>I<03FF80000FFFF0001F01F8003F807E003F807E003F803F 001F003F800E003F8000003F8000003F8000003F80000FFF8000FFFF8007FC3F800FE03F803F80 3F803F003F807F003F80FE003F80FE003F80FE003F80FE003F807E007F807F00DF803F839FFC0F FF0FFC01FC03FC1E1B7E9A21>97 DI<003F F80000FFFE0003F01F0007E03F800FC03F801F803F803F801F007F000E007F0000007F000000FF 000000FF000000FF000000FF000000FF000000FF000000FF0000007F0000007F0000007F800000 3F8001C01F8001C00FC0038007E0070003F01E0000FFFC00003FE0001A1B7E9A1F>I<00003FF8 0000003FF80000003FF800000003F800000003F800000003F800000003F800000003F800000003 F800000003F800000003F800000003F800000003F800000003F800000003F800001FE3F80000FF FBF80003F83FF80007E00FF8000FC007F8001F8003F8003F8003F8007F0003F8007F0003F8007F 0003F800FF0003F800FF0003F800FF0003F800FF0003F800FF0003F800FF0003F800FF0003F800 7F0003F8007F0003F8007F0003F8003F8003F8001F8003F8000F8007F80007C00FF80003F03FFF 8000FFF3FF80003FC3FF80212A7EA926>I<003FE00001FFF80003F07E0007C01F000F801F801F 800F803F800FC07F000FC07F0007C07F0007E0FF0007E0FF0007E0FFFFFFE0FFFFFFE0FF000000 FF000000FF0000007F0000007F0000007F0000003F8000E01F8000E00FC001C007E0038003F81F 0000FFFE00001FF0001B1B7E9A20>I<0007F0003FFC00FE3E01F87F03F87F03F07F07F07F07F0 3E07F00007F00007F00007F00007F00007F00007F000FFFFC0FFFFC0FFFFC007F00007F00007F0 0007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0 0007F00007F00007F00007F00007F0007FFF807FFF807FFF80182A7EA915>I104 D<07000F801FC03FE03FE03FE01FC00F80070000000000 00000000000000000000FFE0FFE0FFE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00F E00FE00FE00FE00FE00FE00FE00FE00FE00FE0FFFEFFFEFFFE0F2B7DAA14>I108 DII<003FE00001 FFFC0003F07E000FC01F801F800FC03F800FE03F0007E07F0007F07F0007F07F0007F0FF0007F8 FF0007F8FF0007F8FF0007F8FF0007F8FF0007F8FF0007F8FF0007F87F0007F07F0007F03F800F E03F800FE01F800FC00FC01F8007F07F0001FFFC00003FE0001D1B7E9A22>II< FFC1F0FFC7FCFFCE3E0FD87F0FD87F0FF07F0FF03E0FF01C0FE0000FE0000FE0000FE0000FE000 0FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE000FFFF00FFFF00 FFFF00181B7E9A1C>114 D<03FE300FFFF01E03F03800F0700070F00070F00070F80070FE0000 FFE0007FFE007FFF803FFFE01FFFF007FFF800FFF80007FC6000FCE0007CE0003CF0003CF00038 F80038FC0070FF01E0F7FFC0C1FF00161B7E9A1B>I<00700000700000700000700000F00000F0 0000F00001F00003F00003F00007F0001FFFF0FFFFF0FFFFF007F00007F00007F00007F00007F0 0007F00007F00007F00007F00007F00007F00007F00007F00007F03807F03807F03807F03807F0 3807F03803F03803F87001F86000FFC0001F8015267FA51B>III121 D E /Fn 14 119 df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o 35 122 df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p 14 122 df<78FCFCFCFC7800000000000078FC FCFCFC7806127D910D>58 D<00038000000380000007C0000007C0000007C000000FE000000FE0 00001FF000001BF000003BF8000031F8000031F8000060FC000060FC0000E0FE0000C07E0000C0 7E0001803F0001FFFF0003FFFF8003001F8007001FC006000FC006000FC00C0007E00C0007E0FF 803FFEFF803FFE1F1C7E9B24>65 D75 D<0FF8001C1E003E0F803E07803E07C01C07C00007C0007FC007E7C01F07C03C07 C07C07C0F807C0F807C0F807C0780BC03E13F80FE1F815127F9117>97 DI<03FC000E0E001C1F003C1F00781F00780E00F80000F80000F80000F80000F800 00F800007800007801803C01801C03000E0E0003F80011127E9115>I<000FF0000FF00001F000 01F00001F00001F00001F00001F00001F00001F00001F001F9F00F07F01C03F03C01F07801F078 01F0F801F0F801F0F801F0F801F0F801F0F801F07801F07801F03C01F01C03F00F0FFE03F9FE17 1D7E9C1B>I<03FC000F07001C03803C01C07801C07801E0F801E0F801E0FFFFE0F80000F80000 F800007800007800603C00601E00C00F038001FC0013127F9116>I<01FC000F07801C01C03C01 E07800F07800F0F800F8F800F8F800F8F800F8F800F8F800F87800F07800F03C01E01E03C00F07 8001FC0015127F9118>111 D114 D<1FD830786018E018E018F000FF807FE07FF01FF807FC007CC01CC01CE01CE018F830CFC00E12 7E9113>I<0300030003000300070007000F000F003FFCFFFC1F001F001F001F001F001F001F00 1F001F001F0C1F0C1F0C1F0C0F08079803F00E1A7F9913>I119 D121 D E /Fq 74 124 df<001F83E000F06E3001C078780380F8780300F03007007000070070000700 700007007000070070000700700007007000FFFFFF800700700007007000070070000700700007 007000070070000700700007007000070070000700700007007000070070000700700007007000 070070000700700007007000070070003FE3FF001D20809F1B>11 D<003F0000E0C001C0C00381 E00701E00701E0070000070000070000070000070000070000FFFFE00700E00700E00700E00700 E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700 E00700E03FC3FC1620809F19>I<003FE000E0E001C1E00381E00700E00700E00700E00700E007 00E00700E00700E00700E0FFFFE00700E00700E00700E00700E00700E00700E00700E00700E007 00E00700E00700E00700E00700E00700E00700E00700E00700E00700E03FE7FC1620809F19>I< 001F81F80000F04F040001C07C06000380F80F000300F00F000700F00F00070070000007007000 000700700000070070000007007000000700700000FFFFFFFF0007007007000700700700070070 070007007007000700700700070070070007007007000700700700070070070007007007000700 70070007007007000700700700070070070007007007000700700700070070070007007007003F E3FE3FE02320809F26>I<7038F87CFC7EFC7E743A040204020402080408041008100820104020 0F0E7F9F17>34 D<70F8FCFC74040404080810102040060E7C9F0D>39 D<004000800100030006 0004000C001800180038003000300070006000600060006000E000E000E000E000E000E000E000 E000E000E000E000E00060006000600060007000300030003800180018000C0004000600030001 00008000400A2E7BA112>I<8000400020003000180008000C0006000600070003000300038001 8001800180018001C001C001C001C001C001C001C001C001C001C001C001C00180018001800180 0380030003000700060006000C000800180030002000400080000A2E7EA112>I<000300000003 000000030000000300000003000000030000000300000003000000030000000300000003000000 030000000300000003000000030000FFFFFFFCFFFFFFFC00030000000300000003000000030000 000300000003000000030000000300000003000000030000000300000003000000030000000300 00000300001E207E9A23>43 D<70F0F8F878080808101010202040050E7C840D>II<70F8F8F87005057C840D>I<03F0000E1C001C0E0018060038070070038070038070 0380700380F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F0 03C0F003C07003807003807003807807803807001806001C0E000E1C0003F000121F7E9D17>48 D<008003800F80F380038003800380038003800380038003800380038003800380038003800380 03800380038003800380038003800380038007C0FFFE0F1E7C9D17>I<03F0000C1C00100E0020 0700400780800780F007C0F803C0F803C0F803C02007C00007C0000780000780000F00000E0000 1C0000380000700000600000C0000180000300000600400C00401800401000803FFF807FFF80FF FF80121E7E9D17>I<03F0000C1C00100E00200F00780F80780780780780380F80000F80000F00 000F00001E00001C0000700007F000003C00000E00000F000007800007800007C02007C0F807C0 F807C0F807C0F00780400780400F00200E00183C0007F000121F7E9D17>I<000600000600000E 00000E00001E00002E00002E00004E00008E00008E00010E00020E00020E00040E00080E00080E 00100E00200E00200E00400E00C00E00FFFFF0000E00000E00000E00000E00000E00000E00000E 0000FFE0141E7F9D17>I<1803001FFE001FFC001FF8001FE00010000010000010000010000010 000010000011F000161C00180E001007001007800003800003800003C00003C00003C07003C0F0 03C0F003C0E00380400380400700200600100C0008380007E000121F7E9D17>I<007C00018200 0701000E03800C0780180780380300380000780000700000700000F1F000F21C00F40600F80700 F80380F80380F003C0F003C0F003C0F003C0F003C07003C07003C0700380380380380700180700 0C0E00061C0001F000121F7E9D17>I<4000007FFFE07FFFC07FFFC04000808001008001008002 0000040000040000080000100000100000200000200000600000600000E00000C00001C00001C0 0001C00001C00003C00003C00003C00003C00003C00003C00003C000018000131F7E9D17>I<03 F0000C0C001006003003002001806001806001806001807001807803003E03003F06001FC8000F F00003F80007FC000C7E00103F00300F806007806001C0C001C0C000C0C000C0C000C0C0008060 01802001001002000C0C0003F000121F7E9D17>I<03F0000E18001C0C00380600380700700700 700380F00380F00380F003C0F003C0F003C0F003C0F003C07007C07007C03807C0180BC00E13C0 03E3C0000380000380000380000700300700780600780E00700C002018001070000FC000121F7E 9D17>I<70F8F8F8700000000000000000000070F8F8F87005147C930D>I<7FFFFFF8FFFFFFFC00 00000000000000000000000000000000000000000000000000000000000000FFFFFFFC7FFFFFF8 1E0C7E9023>61 D<0FE0103C601E400EE00FF00FF00F600F001E001C00380070006000C0008000 8001000100010001000100010000000000000000000000038007C007C007C0038010207E9F15> 63 D<000100000003800000038000000380000007C0000007C0000007C0000009E0000009E000 0009E0000010F0000010F0000010F00000207800002078000020780000403C0000403C0000C03E 0000801E0000801E0001FFFF0001000F0001000F00020007800200078002000780040003C00400 03C00C0003C01E0003E0FF801FFE1F207F9F22>65 DI<000FE0 1000381C3000E0027003C00170078000F00F0000701E0000701E0000303C0000303C0000107C00 001078000010F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8 000000780000007C0000103C0000103C0000101E0000201E0000200F0000200780004003C00080 00E0030000380C00000FF0001C217E9F21>I69 DI<000FE01000381C3000E0027003C00170078000F00F000070 1E0000701E0000303C0000303C0000107C00001078000010F8000000F8000000F8000000F80000 00F8000000F8000000F8000000F8003FFEF80001F0780000F07C0000F03C0000F03C0000F01E00 00F01E0000F00F0000F0078000F003C0017000E0023000380C10000FF0001F217E9F24>III<07FFC0003E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00 001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00201E00F81E00 F81E00F81E00F01C00403C006038001070000FC00012207F9E17>I76 DII<001FE000007038 0001C00E0003800700070003800F0003C01E0001E03C0000F03C0000F07C0000F87C0000F87800 0078F800007CF800007CF800007CF800007CF800007CF800007CF800007CF800007CF800007C78 0000787C0000F87C0000F83C0000F03E0001F01E0001E00F0003C0070003800380070001E01E00 00703800001FE0001E217E9F23>II82 D<03F0400C0CC01803C03001C06000C06000C0E000C0E00040E00040E00040 F00000F800007C00007F80003FF8001FFF0007FF8000FFC0001FE00003E00001E00000F0000070 800070800070800070800070C00060C000E0E000C0F80180C6030081FC0014217E9F19>I<7FFF FFE0780F01E0600F0060400F0020400F0020C00F0030800F0010800F0010800F0010800F001000 0F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000 000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000001F80 0003FFFC001C1F7E9E21>I87 D91 D<080410082010201040204020804080408040B85CFC7EFC7E7C3E381C0F0E7A9F17>II<0C001E0033006180C0C080400A067A9E17>I<1FE000303000781800781C 00300E00000E00000E00000E0000FE00078E001E0E00380E00780E00F00E10F00E10F00E10F01E 10781E103867200F83C014147E9317>97 D<1C0000FC00001C00001C00001C00001C00001C0000 1C00001C00001C00001C00001C00001C7C001D87001E01801E00C01C00E01C00701C00701C0078 1C00781C00781C00781C00781C00781C00701C00F01C00E01E00C01A0180198700107C0015207E 9F19>I<01FC000706001C0F00380F00380600780000700000F00000F00000F00000F00000F000 00F000007000007800003800803800801C010007060001F80011147F9314>I<0001C0000FC000 01C00001C00001C00001C00001C00001C00001C00001C00001C00001C001F1C0070DC00C03C018 01C03801C07801C07001C0F001C0F001C0F001C0F001C0F001C0F001C07001C07001C03801C018 03C00C03C0070DC001F1F815207F9F19>I<03F0000E1C001C0E00380700380700700700700380 F00380F00380FFFF80F00000F00000F000007000007000003800803800801C010007060001F800 11147F9314>I<007C01C6030F070F0E060E000E000E000E000E000E000E00FFF00E000E000E00 0E000E000E000E000E000E000E000E000E000E000E000E000E000E000E007FE01020809F0E>I< 0000E003E3300E3C301C1C30380E00780F00780F00780F00780F00780F00380E001C1C001E3800 33E0002000002000003000003000003FFE001FFF801FFFC03001E0600070C00030C00030C00030 C000306000603000C01C038003FC00141F7F9417>I<1C0000FC00001C00001C00001C00001C00 001C00001C00001C00001C00001C00001C00001C7C001C86001D03001E03801E03801C03801C03 801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C0380FF8F F014207E9F19>I<38007C007C007C0038000000000000000000000000001C00FC001C001C001C 001C001C001C001C001C001C001C001C001C001C001C001C001C001C00FF80091F7F9E0C>I<00 E001F001F001F000E0000000000000000000000000007007F000F0007000700070007000700070 0070007000700070007000700070007000700070007000700070007000706070F060F0C061803F 000C28829E0E>I<1C0000FC00001C00001C00001C00001C00001C00001C00001C00001C00001C 00001C00001C1FE01C07801C06001C04001C08001C10001C20001C60001CE0001DF0001E70001C 38001C3C001C1C001C0E001C0F001C07001C07801C07C0FF9FF014207E9F18>I<1C00FC001C00 1C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C 001C001C001C001C001C001C001C001C00FF8009207F9F0C>I<1C3E03E000FCC30C30001D0390 38001E01E01C001E01E01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01 C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C 01C01C00FF8FF8FF8021147E9326>I<1C7C00FC86001D03001E03801E03801C03801C03801C03 801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C0380FF8FF01414 7E9319>I<01F800070E001C03803801C03801C07000E07000E0F000F0F000F0F000F0F000F0F0 00F0F000F07000E07000E03801C03801C01C0380070E0001F80014147F9317>I<1C7C00FD8700 1E01801E01C01C00E01C00F01C00701C00781C00781C00781C00781C00781C00781C00701C00F0 1C00E01E01C01E03801D87001C7C001C00001C00001C00001C00001C00001C00001C00001C0000 FF8000151D7E9319>I<01F040070CC00E02C01C03C03801C07801C07001C0F001C0F001C0F001 C0F001C0F001C0F001C07001C07801C03801C01C03C00C05C00709C001F1C00001C00001C00001 C00001C00001C00001C00001C00001C0000FF8151D7F9318>I<1CF0FD181E3C1E3C1E181C001C 001C001C001C001C001C001C001C001C001C001C001C001C00FFC00E147E9312>I<0FC8303860 18C008C008C008E0007C003FE01FF007F8003C800E8006C006C006C004E00CD81887E00F147F93 12>I<020002000200060006000E000E003E00FFF80E000E000E000E000E000E000E000E000E00 0E000E000E040E040E040E040E040708030801F00E1C7F9B12>I<1C0380FC1F801C03801C0380 1C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C0780 0C0780061B8003E3F014147E9319>IIIII<7FFF700E600E401C40384078407000E001E001C0 0380078007010E011E011C0338027006700EFFFE10147F9314>II E /Fr 3 52 df<1F00318060C04040C060C060C060C060C060C060C060C060404060C031801F00 0B107F8F0F>48 D<187898181818181818181818181818FF08107D8F0F>I<1F00218060C060C0 00C0008001001F00008000400060C060C060804060801F000B107F8F0F>51 D E /Fs 57 122 df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t 5 123 df<0C000C00CCC0EDC07F800C00 7F80EDC0CCC00C000C000A0B7D8B10>3 D<081C1C3838383070706060C0C0060D7E8D09>48 D<3C62C3C3C040603866C2C3C343661C060203C3C3463C08167D900E>120 D<1818181818FFFF18181818181818181818181818181808167D900E>I<1818181818FF181818 18180018181818FFFF1818181808167D900E>I E /Fu 6 123 df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v 53 123 df<07070F1E1C38604080080976A218>19 D<70F8FCFC7404040404080810102040060F 7C840E>44 DI<70F8F8F87005057C840E>I<01F000071C000C06001803 003803803803807001C07001C07001C07001C0F001E0F001E0F001E0F001E0F001E0F001E0F001 E0F001E0F001E0F001E0F001E0F001E0F001E0F001E07001C07001C07001C07803C03803803803 801C07000C0600071C0001F00013227EA018>48 D<008003800F80F38003800380038003800380 038003800380038003800380038003800380038003800380038003800380038003800380038003 800380038007C0FFFE0F217CA018>I<03F8000C1E00100F002007804007C07807C07803C07807 C03807C0000780000780000700000F00000C0000380003F000001C00000F000007800007800003 C00003C00003E02003E07003E0F803E0F803E0F003C04003C0400780200780100F000C1C0003F0 0013227EA018>51 D<000300000300000700000700000F00001700001700002700006700004700 008700018700010700020700060700040700080700080700100700200700200700400700C00700 FFFFF8000700000700000700000700000700000700000700000F80007FF015217FA018>I<007E 0001C1000300800601C00C03C01C03C0180180380000380000780000700000700000F0F800F30C 00F40600F40300F80380F801C0F001C0F001E0F001E0F001E0F001E0F001E07001E07001E07001 E03801C03801C01803801C03000C0600070C0001F00013227EA018>54 D<4000006000007FFFE0 7FFFC07FFFC0400080C00100800100800200800200000400000800000800001000002000002000 00600000400000C00000C00001C00001C000018000038000038000038000038000078000078000 07800007800007800007800007800003000013237DA118>I<01F800060E000803001001802001 806000C06000C06000C07000C07000C07801803E01003F02001FC4000FF80003F80001FC00067E 00083F00100F803007C06003C06000E0C000E0C00060C00060C00060C000606000406000C03000 801803000E0E0003F00013227EA018>I<01F000060C000C0600180700380380700380700380F0 01C0F001C0F001C0F001E0F001E0F001E0F001E0F001E07001E07003E03803E01805E00C05E006 19E003E1E00001C00001C00001C0000380000380300380780700780600700C002018001030000F C00013227EA018>I<70F8F8F870000000000000000000000070F8F8F87005157C940E>I<000FE0 0000701C0000800200030001800400004008000020080000201007C01020183008203008084060 040440C0078441C0038481C0038283800382838003828380038283800382838003828380038283 80038281C0038241C0038240C007824060078420300B84201831881007C0F00800000008000000 040000000300000E00800078007007C0000FFC001F237DA226>64 D<0001800000018000000180 000003C0000003C0000003C0000005E0000005E0000009F0000008F0000008F000001078000010 78000010780000203C0000203C0000203C0000401E0000401E0000C01F0000800F0000800F0001 FFFF800100078001000780020003C0020003C0020003C0040001E0040001E0040001E0080000F0 1C0000F03E0001F8FF800FFF20237EA225>II<0007E0100038183000E0063001C00170038000F0070000F00E0000701E0000701C 0000303C0000303C0000307C0000107800001078000010F8000000F8000000F8000000F8000000 F8000000F8000000F8000000F800000078000000780000107C0000103C0000103C0000101C0000 201E0000200E000040070000400380008001C0010000E0020000381C000007E0001C247DA223> III I72 DI75 DI< FF8007FF07C000F807C0007005E0002004F0002004F0002004780020047C0020043C0020041E00 20041F0020040F002004078020040780200403C0200401E0200401E0200400F0200400F8200400 782004003C2004003E2004001E2004000F2004000F20040007A0040003E0040003E0040001E004 0001E0040000E00E0000601F000060FFE0002020227EA125>78 D80 D82 D<03F0200C0C601802603001E07000E0600060E00060E00060E00020E00020E00020F00000 F000007800007F00003FF0001FFE000FFF0003FF80003FC00007E00001E00000F00000F0000070 800070800070800070800070C00060C00060E000C0F000C0C80180C6070081FC0014247DA21B> I<7FFFFFF87807807860078018400780084007800840078008C007800C80078004800780048007 800480078004000780000007800000078000000780000007800000078000000780000007800000 078000000780000007800000078000000780000007800000078000000780000007800000078000 000780000007800000078000000FC00001FFFE001E227EA123>II<1FE000303800780C00780E00300700000700000700 00070000FF0007C7001E07003C0700780700700700F00708F00708F00708F00F087817083C2390 0FC1E015157E9418>97 D<0E0000FE00001E00000E00000E00000E00000E00000E00000E00000E 00000E00000E00000E00000E00000E1F000E61C00E80600F00300E00380E003C0E001C0E001E0E 001E0E001E0E001E0E001E0E001E0E001E0E001C0E003C0E00380F00700C80600C41C0083F0017 237FA21B>I<01FE000703000C07801C0780380300780000700000F00000F00000F00000F00000 F00000F00000F000007000007800403800401C00800C010007060001F80012157E9416>I<0000 E0000FE00001E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000 E001F8E00704E00C02E01C01E03800E07800E07000E0F000E0F000E0F000E0F000E0F000E0F000 E0F000E07000E07800E03800E01801E00C02E0070CF001F0FE17237EA21B>I<01FC000707000C 03801C01C03801C07801E07000E0F000E0FFFFE0F00000F00000F00000F00000F0000070000078 00203800201C00400E008007030000FC0013157F9416>I<003E0000E30001C780038780030780 070000070000070000070000070000070000070000070000070000FFF800070000070000070000 070000070000070000070000070000070000070000070000070000070000070000070000070000 0700000700000780007FF000112380A20F>I<00007003F1980E1E181C0E183807003807007807 807807807807807807803807003807001C0E001E1C0033F0002000002000003000003800003FFE 001FFFC00FFFE03000F0600030C00018C00018C00018C000186000306000303800E00E038003FE 0015217F9518>I<0E0000FE00001E00000E00000E00000E00000E00000E00000E00000E00000E 00000E00000E00000E00000E1F800E60C00E80E00F00700F00700E00700E00700E00700E00700E 00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E0070FFE7FF18237FA2 1B>I<1C003E003E003E001C00000000000000000000000000000000000E007E001E000E000E00 0E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFC00A227FA10E>I< 0E0000FE00001E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E0000 0E00000E03FC0E01F00E01C00E01800E02000E04000E08000E10000E38000EF8000F1C000E1E00 0E0E000E07000E07800E03C00E01C00E01E00E00F00E00F8FFE3FE17237FA21A>107 D<0E00FE001E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00 0E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFE00B237FA20E>I< 0E1FC07F00FE60E183801E807201C00F003C00E00F003C00E00E003800E00E003800E00E003800 E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E0038 00E00E003800E00E003800E00E003800E00E003800E0FFE3FF8FFE27157F942A>I<0E1F80FE60 C01E80E00F00700F00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00 700E00700E00700E00700E00700E0070FFE7FF18157F941B>I<01FC000707000C01801800C038 00E0700070700070F00078F00078F00078F00078F00078F00078F000787000707800F03800E01C 01C00E038007070001FC0015157F9418>I<0E1F00FE61C00E80600F00700E00380E003C0E003C 0E001E0E001E0E001E0E001E0E001E0E001E0E001E0E003C0E003C0E00380F00700E80E00E41C0 0E3F000E00000E00000E00000E00000E00000E00000E00000E00000E0000FFE000171F7F941B> I<0E3CFE461E8F0F0F0F060F000E000E000E000E000E000E000E000E000E000E000E000E000E00 0F00FFF010157F9413>114 D<0F8830786018C018C008C008E008F0007F003FE00FF001F8003C 801C800C800CC00CC008E018D0308FC00E157E9413>I<02000200020002000600060006000E00 1E003E00FFFC0E000E000E000E000E000E000E000E000E000E000E000E040E040E040E040E040E 040708030801F00E1F7F9E13>I<0E0070FE07F01E00F00E00700E00700E00700E00700E00700E 00700E00700E00700E00700E00700E00700E00700E00700E00F00E00F006017003827800FC7F18 157F941B>II120 DI<3FFFC0380380300780200700600E0040 1C00403C0040380000700000E00001E00001C0000380400700400F00400E00C01C008038008078 0180700780FFFF8012157F9416>I E /Fw 18 122 df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end %%EndProlog %%BeginSetup %%Feature: *Resolution 300 TeXDict begin %%EndSetup %%Page: 1 1 0 bop 449 319 a Fw(Successiv)n(e)21 b(Broadcasts)h(on)f(Hyp)r(ercub)r(e)580 504 y Fv(F)l(r)o(\023)-23 b(ed)o(\023)g(eric)15 b(Desprez)936 486 y Fu(\003)936 504 y Fv(,)47 b(Pierre)16 b(F)l(raigniaud)1370 486 y Fu(y)735 620 y Fv(LIP)l(,)g(CNRS)g(URA)f(1398)605 736 y(Ecole)h(Normale)e(Sup)o(\023)-23 b(erieure)15 b(de)i(Ly)o(on)661 852 y(69364)h(Ly)o(on)e(Cedex)g(07,)h(F)l(rance)936 969 y(and)727 1085 y(Bernard)f(T)l(ouranc)o(heau)1206 1067 y Fu(zx)675 1201 y Fv(The)g(Univ)o(ersit)o(y)d(of)k(T)l(ennessee)647 1317 y(Computer)e (Science)g(Departmen)o(t)810 1433 y(107,)i(Ayres)f(Hall)697 1550 y(Kno)o(xville,)e(TN)i(37996-1301)925 1666 y(USA)671 1782 y(e-mail:)j(btouranc@cs.utk.edu)p 0 2067 780 2 v 51 2126 a Ft(\003)69 2142 y Fs(This)14 b(w)o(ork)f(w)o(as)g(supp)q(orted)h(b)o(y)f(MRE) h(gran)o(t)f(No.974,)g(the)g(CNRS-NSF)g(gran)o(t)g(No.950.22)h(and)f(the)g (researc)o(h)h(program)g(C3)53 2217 y Ft(y)69 2233 y Fs(Supp)q(orted)h(b)o(y) e(the)g(researc)o(h)h(programs)g(ANM)e(and)i(C3.)53 2309 y Ft(z)69 2325 y Fs(On)f(lea)o(v)o(e)h(from)f(LIP)m(,)f(CNRS)h(URA)g(1398,)g (ENS)g(Ly)o(on,)g(46)g(all)o(\023)-18 b(ee)15 b(d'Italie,)f(69364)f(Ly)o(on)h (Cedex)f(07,)g(F)m(rance.)53 2369 y Ft(x)69 2385 y Fs(This)j(w)o(ork)f(w)o (as)g(supp)q(orted)i(in)f(part)g(b)o(y)f(the)h(National)h(Science)f(F)m (oundation)i(under)e(gran)o(t)f(ASC-8715728,)i(the)e(National)0 2477 y(Science)i(F)m(oundation)i(Science)e(and)f(T)m(ec)o(hnology)i(Cen)o (ter)e(Co)q(op)q(erativ)o(e)h(Agreemen)o(t)g(CCR-8809615,)g(the)f(D)o(ARP)m (A)g(and)g(AR)o(O)0 2568 y(under)e(con)o(tract)f(D)o(AAL03-91-C-0047,)g (CNRS-NSF)g(gran)o(t)h(950.223/07,)g(Arc)o(hip)q(el)h(SA)e(and)g(MRE)h(under) g(gran)o(t)f(974,)g(researc)o(h)0 2659 y(program)h(PR)o(C)f(C)276 2643 y Fr(3)293 2659 y Fs(,)f(and)i(DRET.)964 2795 y Fq(1)p eop %%Page: 2 2 1 bop 884 46 a Fp(Abstract)176 171 y Fo(Broadcasting)16 b(is)g(an)g (information)e(dissemination)g(problem)h(in)h(whic)o(h)g(information)d (originating)h(at)114 271 y(one)j(no)q(de)g(of)g(a)f(comm)o(unication)e(net)o (w)o(ork)j(m)o(ust)f(b)q(e)h(transmitted)g(to)g(all)e(the)j(other)f(no)q(des) h(as)f(quic)o(kly)114 370 y(as)f(p)q(ossible)g([1)o(,)f(2].)23 b(In)16 b(this)g(pap)q(er,)h(w)o(e)f(consider)h(the)f(problem)e(in)i(whic)o (h)g(all)e(the)j(no)q(des)f(of)g(a)f(net)o(w)o(ork)114 470 y(m)o(ust,)h(b)o(y)g(turns,)i(broadcast)g(a)e(distinct)h(message.)27 b(W)m(e)16 b(call)g(this)h(problem)e(the)j Fn(suc)n(c)n(essive)f(br)n(o)n (adc)n(asts)114 570 y Fo(problem.)31 b(Successiv)o(e)21 b(broadcasts)f(is)e (a)h(comm)o(unication)c(pattern)20 b(that)f(app)q(ears)h(in)e(sev)o(eral)h (parallel)114 669 y(implem)o(en)o(tations)e(of)j(linear)f(algebra)h (algorithms)d(on)j(distributed)g(memory)e(m)o(ulticom)o(puters.)35 b(Note)114 769 y(that)14 b(the)g(successiv)o(e)j(broadcasts)e(problem)d(is)i (di\013eren)o(t)h(from)e(the)h Fn(gossip)h Fo(problem)d([2])h(in)h(whic)o(h)g (all)f(the)114 869 y(no)q(des)k(m)o(ust)e(p)q(erform)h(a)g(broadcast)g(in)g (an)o(y)g(order,)h(ev)o(en)g(sim)o(ultaneously)m(.)23 b(W)m(e)16 b(presen)o(t)i(an)e(algorithm)114 968 y(solving)11 b(the)j(successiv)o(e)h (broadcasts)f(problem)d(on)i(h)o(yp)q(ercub)q(es.)20 b(W)m(e)12 b(deriv)o(e)i(a)e(lo)o(w)o(er)h(b)q(ound)g(on)f(the)i(time)114 1068 y(of)e(an)o(y)h(successiv)o(e)j(broadcasts)e(algorithms)d(that)j(sho)o (ws)f(that)h(our)f(algorithm)e(is)i(within)g(a)g(factor)g(of)g(2)g(of)114 1167 y(the)h(optimalit)o(y)l(.)114 1503 y Fp(Key)i(w)o(ords:)i Fo(Broadcasting,)13 b(h)o(yp)q(ercub)q(e,)j(successiv)o(e)g(broadcasts)f (problem.)964 2795 y Fq(2)p eop %%Page: 3 3 2 bop 0 46 a Fm(1)69 b(In)n(tro)r(duction)0 204 y Fq(Man)o(y)13 b(algorithms)h({)f(particularly)i(in)f(linear)h(algebra)f({)f(ha)o(v)o(e)g (the)h(follo)o(wing)g(form.)19 b(The)14 b(data)f(structure)g(is)h(a)0 316 y(set)h Fl(S)i Fq(of)d Fl(n)h Fq(data)f Fl(\026)339 323 y Fk(1)359 316 y Fl(;)8 b(:)g(:)g(:)d(;)j(\026)488 323 y Fj(n)511 316 y Fq(.)20 b(The)15 b(algorithms)f(p)q(erform)h(in)h Fl(n)f Fq(steps.)k(Let)c Fl(S)1371 300 y Fk(\(0\))1430 316 y Fq(=)e Fl(S)s Fq(,)h(that)g(is)i Fl(\026)1707 293 y Fk(\(0\))1707 329 y Fj(j)1767 316 y Fq(=)d Fl(\026)1842 323 y Fj(j)1860 316 y Fl(;)8 b(j)15 b Fq(=)0 429 y(1)p Fl(;)8 b(:)g(:)g(:)d(;)j(n)p Fq(.)19 b(A)o(t)c(step)g Fl(i)p Fq(,)f(1)f Fi(\024)f Fl(i)h Fi(\024)g Fl(n)p Fq(,)i(the)g(algorithms)g(construct)g(a)g(set)g Fl(S)1247 413 y Fk(\()p Fj(i)p Fk(\))1301 429 y Fq(=)e Fi(f)p Fl(\026)1399 405 y Fk(\()p Fj(i)p Fk(\))1399 442 y Fj(j)1440 429 y Fl(;)8 b(j)14 b Fq(=)f(1)p Fl(;)8 b(:)g(:)g(:)d(;)j(n)p Fi(g)14 b Fq(b)o(y)618 588 y Fl(\026)645 564 y Fk(\()p Fj(i)p Fk(\))645 601 y Fj(j)699 588 y Fq(=)f Fl(F)6 b Fq(\()p Fl(\026)827 564 y Fk(\()p Fj(i)p Fu(\000)p Fk(1\))827 601 y Fj(j)915 588 y Fl(;)i(\026)963 564 y Fk(\()p Fj(i)p Fu(\000)p Fk(1\))963 601 y Fj(i)1049 588 y Fq(\))p Fl(;)g(j)14 b Fq(=)f(1)p Fl(;)8 b(:)g(:)g(:)t(;)g(n;)0 747 y Fq(where)16 b Fl(F)23 b Fq(is)17 b(an)f Fh(up)n(dating)g Fq(function)h(c)o(haracterizing)g(a)f(particular)h (algorithm.)22 b(Let)17 b Fl(t)1526 754 y Fj(comp)1610 747 y Fq(\()p Fl(F)6 b Fq(\))16 b(b)q(e)h(the)f(arith-)0 859 y(metic)g(time)f (necessary)h(to)e(apply)i(the)g(function)g Fl(F)6 b Fq(.)20 b(Suc)o(h)c(an)f(algorithm)g(has)g(a)g(cost)g Fl(n)1554 843 y Fk(2)1574 859 y Fl(t)1590 866 y Fj(comp)1674 859 y Fq(\()p Fl(F)6 b Fq(\).)71 972 y(No)o(w,)11 b(suc)o(h)h(an)g(algorithm)g(can)g(b)q(e) h(implemen)o(ted)g(on)f(a)f(distributed)j(memory)d(m)o(ulticomputer)i(as)e (follo)o(ws.)0 1085 y(The)19 b(set)f Fl(S)k Fq(is)d(divided)i(in)e Fl(p)g Fq(blo)q(c)o(ks,)h(where)f Fl(p)f Fq(is)h(the)g(n)o(um)o(b)q(er)g(of)f (pro)q(cessors,)h(suc)o(h)g(that)f(eac)o(h)h(pro)q(cessor)0 1198 y(holds)f(appro)o(ximativ)o(ely)463 1180 y Fj(n)p 463 1187 22 2 v 465 1214 a(p)507 1198 y Fq(data.)27 b(This)18 b(allo)q(cation)h (b)q(eing)g(\014xed,)f(eac)o(h)g(pro)q(cessor,)f(b)o(y)h(turns,)g(computes)f (a)0 1311 y(single)i(v)m(alue)f(from)e(the)i(blo)q(c)o(k)g(it)f(holds,)h(and) g(broadcasts)e(this)i(v)m(alue)g(to)f(all)h(the)f(other)g(pro)q(cessors.)26 b(Then,)0 1424 y(eac)o(h)16 b(pro)q(cessor)f(up)q(dates)h(its)g(data,)e (another)i(pro)q(cessor)f(computes)h(the)f(next)h(v)m(alue)h(and)e(broadcast) g(it,)h(and)0 1537 y(so)j(on.)31 b(This)20 b(pro)q(cess)f(completes)h(after)f Fl(n)g Fq(broadcasts.)31 b(Th)o(us,)20 b(if)f Fl(t)1243 1544 y Fj(br)q(oad)1332 1537 y Fq(\()p Fl(p)p Fq(\))f(is)i(the)f(comm)o(unication) h(time)0 1650 y(necessary)e(to)f(broadcast)h(a)f(single)j(data)d(from)g(one)h (pro)q(cessor)g(to)f(the)h Fl(p)12 b Fi(\000)g Fq(1)18 b(other)g(ones,)g (then)g(comm)o(uni-)0 1763 y(cations)f(and)g(computations)g(can)g(b)q(e)g (easily)h(sc)o(heduled)h(in)f(a)e(time)h Fl(n)p Fq(\()p Fl(t)1274 1770 y Fj(br)q(oad)1363 1763 y Fq(\()p Fl(p)p Fq(\))10 b(+)1479 1716 y Fg(l)1505 1745 y Fj(n)p 1505 1752 V 1507 1778 a(p)1532 1716 y Fg(m)1561 1763 y Fl(t)1577 1770 y Fj(comp)1661 1763 y Fq(\()p Fl(F)c Fq(\)\))17 b(when)g(the)0 1876 y(broadcast)f(are)h(p)q (erformed)g(in)h(distinct)g(phases.)26 b(The)17 b Fh(arithmetic)h Fq(sp)q(eedup)g(is)g(then)f(close)h(to)e Fl(p)p Fq(.)25 b(Ho)o(w)o(ev)o(er,)0 1989 y(the)15 b(comm)o(unication)h(cost)e(implies)j(that)d(the)h(e\016ciency) h(of)f(the)g(algorithm)g(will)h(decrease)g(as)e(the)h(n)o(um)o(b)q(er)g(of)0 2101 y(pro)q(cessors)h(increases.)22 b(Indeed,)17 b(for)e(instance)i(on)f(h)o (yp)q(ercub)q(e,)h(and)f(it)g(ma)o(y)f(b)q(e)i(w)o(orse)e(on)g(other)h(top)q (ologies,)0 2214 y Fl(t)16 2221 y Fj(br)q(oad)104 2214 y Fq(\()p Fl(p)p Fq(\))c Fi(\025)h Fq(log)282 2225 y Fk(2)302 2214 y Fq(\()p Fl(p)p Fq(\),)h(therefore)h(the)g(global)h(comm)o(unication)g(time)f (is)h Fl(O)q Fq(\()p Fl(n)8 b Fq(log)1404 2225 y Fk(2)1424 2214 y Fq(\()p Fl(p)p Fq(\)\).)71 2327 y(In)16 b(this)h(pap)q(er,)f(w)o(e)f (presen)o(t)h(a)g(comm)o(unication)h(sc)o(heduling)h(that)d(allo)o(ws)h (broadcasts)f(initiated)j(b)o(y)d(suc-)0 2440 y(cessiv)o(e)22 b(sources)f(to)g(b)q(e)g(pip)q(elin)q(ed)j(on)d(a)g(h)o(yp)q(ercub)q(e)i(so)e (that)f(the)h(global)h(comm)o(unication)g(time)g(falls)g(to)0 2553 y Fl(O)q Fq(\()p Fl(n)8 b Fq(+)g(log)190 2564 y Fk(2)210 2553 y Fq(\()p Fl(p)p Fq(\)\).)19 b(Our)14 b(result)g(is)h(based)f(on)g(the)g (fact)g(that)f(it)h(is)h(p)q(ossible)h(to)d(initiate)j(di\013eren)o(t)e (broadcasts)f(b)o(y)0 2666 y(turns)i(from)g(di\013eren)o(t)h(no)q(des)g(of)f (a)g(h)o(yp)q(ercub)q(e,)i(with)f(no)f(con\015icts)i(and)e(insuring)i(the)f (correct)f(marc)o(h)g(of)g(the)964 2795 y(3)p eop %%Page: 4 4 3 bop 0 46 a Fq(algorithm)15 b(\(eac)o(h)g(v)m(alue)i(is)e(receiv)o(ed)i(at)d (the)h(due)h(time\).)71 159 y(Section)g(2)f(b)q(elo)o(w)g(formally)h(states)e (the)i Fh(suc)n(c)n(essive)e(br)n(o)n(adc)n(asts)h(pr)n(oblem)p Fq(,)g(and)h(Section)g(3)f(describ)q(es)h(ho)o(w)0 271 y(to)f(solv)o(e)g(it)g (on)h(a)e(h)o(yp)q(ercub)q(e.)22 b(Section)16 b(4)f(con)o(tains)g(some)g (concluding)i(remarks.)0 489 y Fm(2)69 b(Statemen)n(t)21 b(of)j(the)e (problem)0 647 y Fq(Let)c(us)g(consider)h(a)e(distributed)i(memory)e(m)o (ulticomputer)i(with)f Fl(p)g Fq(pro)q(cessors)f(lab)q(eled)j(from)d(1)g(to)g Fl(p)p Fq(.)28 b(Let)0 760 y Fl(S)d Fq(b)q(e)e(a)f(set)h(of)f Fl(p)g Fq(data)g Fl(\026)488 767 y Fk(1)508 760 y Fl(;)8 b(:)g(:)g(:)d(;)j (\026)637 767 y Fj(p)679 760 y Fq(distributed)24 b(among)e(the)g(pro)q (cessors,)i(eac)o(h)f(pro)q(cessor)f(holding)i(one)0 873 y(data.)g(The)17 b(distribution)h(dep)q(ends)h(on)d(a)h(function)g(\\allo)q(c")h(that)e(sp)q (eci\014es)i(the)f(pro)q(cessor)g(holding)h(a)e(giv)o(en)0 986 y(data:)k(the)c(pro)q(cessor)f(allo)q(c)q(\()p Fl(j)s Fq(\))g(holds)h Fl(\026)711 993 y Fj(j)730 986 y Fq(.)21 b(W)l(e)15 b(consider)i(the)f(follo) o(wing)g(algorithm)g(to)f(b)q(e)h(sc)o(heduled)h(on)f(the)0 1099 y(m)o(ulticomputer.)30 b(This)19 b(algorithm)f(is)h(giv)o(en)g(in)g (term)f(of)g(instructions)h(to)f(b)q(e)h(executed)g(b)o(y)f(an)o(y)g(pro)q (cessor)0 1212 y(\(the)d(function)h(\\m)o(yno)q(de")f(returns)g(the)g(lab)q (el)i(of)e(the)g(curren)o(t)g(pro)q(cessor\).)0 1375 y Ff(Successive)i(Br)o (o)o(adcasts)f(Algorithm)0 1488 y Fe(Begin)95 1600 y(For)24 b Fl(i)12 b Fq(=)h(1)24 b Fe(to)f Fl(p)h Fe(do)191 1713 y(If)f(mynode)12 b Fq(=)h Fe(alloc)p Fq(\()p Fl(i)p Fq(\))22 b Fe(then)i Fl(x)12 b Fi( )h Fl(\026)903 1720 y Fj(i)918 1713 y Fe(;)191 1826 y(broadcast)p Fq(\()p Fe(alloc)n Fq(\()p Fl(i)p Fq(\))p Fl(;)8 b(x)p Fq(\))p Fe(;)748 b(\(1\))191 1939 y(store)o Fq(\()p Fl(x)p Fq(\))p Fe(;)1036 b(\(2\))0 2052 y(End.)71 2215 y Fq(The)22 b(Successiv)o(e)i (Broadcasts)e(Algorithm)g(consists)h(in)g Fl(p)g Fq(iterations.)41 b(Eac)o(h)23 b(iteration)f(deals)i(with)e(a)0 2328 y(di\013eren)o(t)d(data)f Fl(\026)317 2335 y Fj(i)331 2328 y Fl(;)8 b(i)17 b Fq(=)i(1)p Fl(;)8 b(:)g(:)g(:)t(;)g(p)p Fq(.)29 b(A)o(t)18 b(iteration)h Fl(i)p Fq(,)g(Pro)q(cessor)f(allo)q(c)q(\()p Fl(i)p Fq(\),)g(holding)i Fl(\026)1508 2335 y Fj(i)1522 2328 y Fq(,)f(broadcasts)f Fl(\026)1810 2335 y Fj(i)1843 2328 y Fq(to)g(all)0 2441 y(the)i(other)h(pro)q(cessors)f (\(Instruction)h(\(1\)\).)34 b(When)21 b(a)f(pro)q(cessor)g(di\013eren)o(t)g (than)h(allo)q(c)q(\()p Fl(i)p Fq(\))e(encoun)o(ters)i(the)0 2554 y(instruction)e(\\Broadcast\(allo)q(c\()p Fl(i)p Fq(\))p Fl(;)8 b(x)p Fq(\)",)16 b(it)i(means)g(that)f(he)i(will)h(w)o(ait)d(up)q(on)i (reception)g(of)f(a)f(v)m(alue)j Fl(x)e Fq(from)0 2666 y(one)c(of)f(its)h (neigh)o(b)q(oring)i(pro)q(cessors)d(and,)h(ev)o(en)o(tually)l(,)h(he)f(will) i(con)o(tin)o(ue)e(the)g(broadcast)g(b)o(y)f(forw)o(arding)h(this)964 2795 y(4)p eop %%Page: 5 5 4 bop 0 46 a Fq(v)m(alue)20 b(to)d(some)h(of)g(its)h(neigh)o(b)q(ors)g(follo) o(wing)g(the)f(proto)q(col)g(adapted)h(to)e(a)h(broadcast)g(from)f(no)q(de)i (allo)q(c)q(\()p Fl(i)p Fq(\).)0 159 y(After)12 b(ha)o(ving)h(receiv)o(ed,)h (and)f(ev)o(en)o(tually)h(forw)o(arded,)e(the)h(most)f(recen)o(t)g(v)m(alue)i Fl(x)p Fq(,)f(eac)o(h)g(pro)q(cessor)g(stores)f(this)0 271 y(v)m(alue)k(\(Instruction)g(\(2\)\).)71 384 y(Our)d(problem)h(is)g(to)f (organize)h(the)f(comm)o(unications)h(with)g(resp)q(ect)g(to)f(the)g(task)g (order)g(of)g(the)g(Successiv)o(e)0 497 y(Broadcasts)k(Algorithm.)28 b(F)l(or)17 b(instance)h(t)o(w)o(o)f(v)m(alues)i Fl(\026)996 504 y Fj(i)1008 509 y Fr(0)1045 497 y Fq(and)f Fl(\026)1163 504 y Fj(i)1175 509 y Fr(1)1213 497 y Fq(should)g(not)g(arriv)o(e)f(in)i(a)e (pro)q(cessor)h(in)g(a)0 610 y(rev)o(erse)13 b(order)h(\(ev)o(en)o(tually)l (,)g(if)g(this)g(situation)g(app)q(ends,)g(w)o(e)f(should)i(b)q(e)f(able)g (to)f(kno)o(w)g(in)h(adv)m(ance)h(the)e(order)0 723 y(or)19 b(reception)h(so)g(that)e(ev)o(ery)i(pro)q(cessor)f(can)h(correctly)g(sc)o (hedule)h(the)e(storage)g(of)g(the)h(data\).)31 b(Note)20 b(that)0 836 y(organizing)14 b(the)g(comm)o(unications)g(dep)q(ends)h(on)f(\014nding)g (a)g(adapted)f(allo)q(cation)i(of)e(the)h(elemen)o(t)g Fl(\026)1749 843 y Fj(i)1777 836 y Fq(and,)g(this)0 949 y(allo)q(cation)i(b)q(eing)h (\014xed,)e(\014nding)i(an)e(adapted)g(sc)o(heduling)i(of)e(the)g(broadcast)g (op)q(erations.)71 1062 y(There)20 b(is)h(an)f(easy)l(,)i(but)e(not)g (e\016cien)o(t,)i(w)o(a)o(y)e(to)f(implemen)o(t)j(the)f(Successiv)o(e)g (Broadcasts)f(Algorithm,)0 1175 y(b)o(y)e(p)q(erforming)h Fl(p)g Fq(separated)f(broadcasts.)29 b(No)o(w,)18 b(the)h(global)g(bandwidth)h(of)e (the)g(net)o(w)o(ork)g(will)i(certainly)0 1288 y(b)q(e)e(ine\016cien)o(tly)h (used)f(during)g(eac)o(h)g(broadcast)e(\(esp)q(ecially)k(if)e(the)f(size)h (of)f(the)g(data)g(is)h(small\).)26 b(Therefore)0 1401 y(it)21 b(should)h(b)q(e)g(faster)e(to)g(in)o(terlea)o(v)o(e)h(sev)o(eral)h (broadcasts,)f(still)h(up)f(to)g(the)g(resp)q(ect)g(of)g(the)g(task)f(order)g (of)0 1513 y(the)d(algorithm)g(and)g(the)h(comm)o(unication)f(constrain)o (ts.)25 b(This)18 b(is)f(what)g(w)o(e)g(will)h(do)f(on)g(an)o(y)g Fl(d)p Fq(-dimensional)0 1626 y(h)o(yp)q(ercub)q(e)g Fl(Q)256 1633 y Fj(d)276 1626 y Fq(.)0 1806 y Fd(Notations)0 1949 y Fl(Q)36 1956 y Fj(d)71 1949 y Fq(is)f(the)f(graph)g(of)g Fl(p)d Fq(=)h(2)482 1932 y Fj(d)517 1949 y Fq(v)o(ertices)j(lab)q(eled)h(from)e(0)f (to)h(2)1061 1932 y Fj(d)1091 1949 y Fi(\000)10 b Fq(1)15 b(suc)o(h)h(that)e (there)i(is)f(an)g(edge)h(b)q(et)o(w)o(een)f(t)o(w)o(o)0 2061 y(v)o(ertices)g Fl(x)g Fq(and)g Fl(y)h Fq(if)f(and)g(only)g(if)h(their)f (binary)g(represen)o(tations)g(di\013er)g(in)g(exactly)g(1)g(bit.)20 b(F)l(or)14 b(a)g(v)o(ertex)h Fl(x)f Fq(of)0 2174 y(binary)k(represen)o (tation)f(on)g Fl(d)g Fq(bits)h Fl(x)667 2181 y Fj(d)p Fu(\000)p Fk(1)732 2174 y Fl(x)758 2181 y Fj(d)p Fu(\000)p Fk(2)831 2174 y Fl(:)8 b(:)g(:)e(x)918 2181 y Fk(1)937 2174 y Fl(x)963 2181 y Fk(0)983 2174 y Fq(,)17 b(eac)o(h)h(subscript)g Fl(i)e Fq(denotes)i(a)f (di\013eren)o(t)g Fh(dimension)p Fq(.)0 2287 y(F)l(or)11 b(t)o(w)o(o)f(v)o (ertices)i Fl(x)g Fq(and)f Fl(y)r Fq(,)h Fl(\016)r Fq(\()p Fl(x;)c(y)r Fq(\))i(denotes)i(the)g(Hamming)f(distance)i(b)q(et)o(w)o(een)f Fl(x)f Fq(and)h Fl(y)r Fq(,)g(that)f(is)h(the)g(n)o(um)o(b)q(er)0 2400 y(of)17 b(bits)g(from)f(whic)o(h)i(they)f(di\013er.)26 b(If)18 b Fl(x)11 b Fi(\010)h Fl(y)19 b Fq(denotes)e(the)g(bit)o(wise)h (xoring)f(of)g Fl(x)g Fq(and)g Fl(y)i Fq(\(\()p Fl(x)10 b Fi(\010)i Fl(y)r Fq(\))1735 2407 y Fj(i)1764 2400 y Fq(=)17 b Fl(x)1842 2407 y Fj(i)1867 2400 y Fq(+)12 b Fl(y)1936 2407 y Fj(i)0 2513 y Fq(\(mo)q(d)j(2\))p Fl(;)8 b(i)j Fq(=)i(0)p Fl(;)8 b(:)g(:)g(:)t(;)g(d)g Fi(\000)h Fq(1\),)k(and)i Fi(j)p Fl(x)p Fi(j)f Fq(denotes)g(the)h(n)o(um)o(b) q(er)g(of)f(bit)h(1)f(in)h Fl(x)p Fq(,)f(then)h Fl(\016)r Fq(\()p Fl(x;)8 b(y)r Fq(\))j(=)i Fi(j)p Fl(x)8 b Fi(\010)h Fl(y)r Fi(j)p Fq(.)19 b(F)l(or)14 b(an)o(y)0 2626 y(bit)i(v)m(alue)g Fl(x)214 2633 y Fj(i)228 2626 y Fq(,)p 256 2601 41 2 v 15 w Fl(x)282 2633 y Fj(i)311 2626 y Fq(denotes)g(its)f(complemen)o(t.)964 2795 y(5)p eop %%Page: 6 6 5 bop 0 46 a Fd(Comm)n(unication)17 b(constrain)n(ts)0 188 y Fq(W)l(e)c(assume)h(the)f(follo)o(wing)h(comm)o(unication)g(constrain)o (ts.)19 b(Eac)o(h)13 b(pro)q(cessor)g(is)h(supp)q(osed)g(to)f(b)q(e)h(able)g (to)e(deal)0 301 y(with)k(only)f(one)h(atomic)f(message)f(at)h(an)o(y)g(giv)o (en)g(time.)21 b(In)15 b(particular,)h(a)f(pro)q(cessor)g(cannot)g(sim)o (ultaneously)0 414 y(receiv)o(e)23 b(more)f(than)h(one)f(message.)41 b(Ho)o(w)o(ev)o(er,)23 b(w)o(e)f(assume)h(that)e(an)o(y)h(pro)q(cessor)h(can) f(send)h(a)f(message)0 527 y(sim)o(ultaneously)13 b(to)e(all)i(its)f(neigh)o (b)q(ors.)19 b(The)12 b(comm)o(unication)h(pro)q(cess)f(is)g(th)o(us)f Fh(whisp)n(ering)h Fq(for)f(the)g(reception,)0 640 y(and)17 b Fh(shouting)g Fq(for)f(the)h(emission)h([1)o(].)25 b(Moreo)o(v)o(er,)15 b(a)h(pro)q(cessor)h(cannot)g(sim)o(ultaneously)h(send)f(and)g(receiv)o(e.)0 752 y(Finally)l(,)g(w)o(e)d(coun)o(t)h(1)g(for)g(the)g(time)h(to)e(send)i(an) f(atomic)g(message)g(from)f(an)o(y)h(pro)q(cessor)g(to)g(its)g(neigh)o(b)q (ors.)0 969 y Fm(3)69 b(Successiv)n(e)21 b(broadcasts)k(on)e(h)n(yp)r(ercub)r (e)0 1127 y Fq(Our)e(goal)f(is)h(to)f(\014nd)h(an)f(allo)q(cating)h(function) h(\\allo)q(c")f(and)f(to)g(organize)h(the)f(comm)o(unications)h(so)f(that,)0 1240 y(for)d(eac)o(h)h(pro)q(cessor,)g(the)g(storages)f(of)h(Instruction)g (\(2\))f(will)j(b)q(e)f(p)q(erformed)f(in)h(the)f(correct)f(order,)h(that)f (is)0 1353 y Fl(\026)27 1360 y Fk(1)47 1353 y Fl(;)8 b(\026)95 1360 y Fk(2)114 1353 y Fl(;)g(:)g(:)g(:)d(;)j(\026)243 1360 y Fj(p)263 1353 y Fq(.)19 b(An)13 b(implemen)o(tation)i(of)e(the)g(Successiv) o(e)i(Broadcasts)d(Algorithm)h(satisfying)h(this)g(condition)0 1465 y(on)k(the)f(order)g(of)h(the)f(storages)g(is)h(said)g Fh(valid)p Fq(.)27 b(Of)17 b(course)h(w)o(e)f(w)o(an)o(t)g(also)g(our)h (implemen)o(tation)h(to)d(resp)q(ect)0 1578 y(the)f(comm)o(unication)h (constrain)o(ts.)71 1691 y(There)22 b(exists)h(a)g(v)m(alid)h(implemen)o (tation)g(of)e(the)g(Successiv)o(e)j(Broadcasts)c(Algorithm)i(p)q(erforming)g (in)0 1804 y(time)17 b Fl(p)8 b Fq(log)194 1815 y Fk(2)222 1804 y Fl(p)16 b Fq(b)o(y)h(completing)h(eac)o(h)f(broadcast)g(b)q(efore)g (initiating)i(the)e(next)g(one.)25 b(Indeed,)18 b(a)f(broadcast)f(in)0 1917 y(an)i(h)o(yp)q(ercub)q(e)h(with)f Fl(p)f Fq(pro)q(cessors)g(can)h(b)q (e)g(done)g(in)h(log)1029 1928 y Fk(2)1056 1917 y Fl(p)e Fq(time)h(under)g (the)g(comm)o(unication)g(constrain)o(ts)0 2030 y(stated)d(b)q(efore.)20 b(Ho)o(w)o(ev)o(er,)14 b(it)h(is)h(p)q(ossible)h(to)d(do)h(m)o(uc)o(h)h(b)q (etter:)0 2181 y Fc(Prop)q(osition)j(1)0 2294 y Fh(Ther)n(e)i(exists)g(a)g (valid)h(implementation)f(of)h(the)g(Suc)n(c)n(essive)d(Br)n(o)n(adc)n(asts)i (A)o(lgorithm)g(p)n(erforming)h(in)f(time)0 2406 y Fq(2)p Fl(p)10 b Fq(+)g(log)160 2417 y Fk(2)187 2406 y Fl(p)g Fi(\000)h Fq(2)16 b Fh(under)g(the)h(sp)n(e)n(ci\014e)n(d)d(c)n(ommunic)n(ation)i(c)n(onstr)n (aints.)71 2557 y Fq(T)l(o)j(pro)o(v)o(e)f(this)i(prop)q(osition,)h(w)o(e)e (need)h(to)f(recall)i(the)e(de\014nition)i(of)e(a)g Fh(sp)n(anning)g (binomial)g(tr)n(e)n(e)g Fq(of)g(an)0 2670 y(h)o(yp)q(ercub)q(e,)d(and)g(its) f(di\013eren)o(t)h(rotations)e(\(see)h([4)o(]\).)964 2795 y(6)p eop %%Page: 7 7 6 bop 0 46 a Fc(De\014nition.)41 b Fh(The)17 b Fq(spanning)f(binomial)i(tree) e Fh(r)n(o)n(ote)n(d)h(at)g(a)g(vertex)f Fl(x)h Fh(of)g Fl(Q)1344 53 y Fj(d)1381 46 y Fh(is)f(denote)n(d)g Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)p Fq(\))p Fh(.)22 b(F)m(or)16 b(any)0 159 y(vertex)d Fl(u)f Fq(=)h Fl(u)243 166 y Fj(d)p Fu(\000)p Fk(1)316 159 y Fl(:)8 b(:)g(:)e(u)403 166 y Fk(1)423 159 y Fl(u)449 166 y Fk(0)481 159 y Fh(of)13 b Fl(Q)567 166 y Fj(d)587 159 y Fh(,)g(let)g Fl(k)g Fh(b)n(e)f(the)h(dimension)f(satisfying)g Fq(\()p Fl(u)r Fi(\010)r Fl(x)p Fq(\))1377 166 y Fj(k)1411 159 y Fq(=)h(1)f Fh(and)h Fq(\()p Fl(u)r Fi(\010)r Fl(x)p Fq(\))1706 166 y Fj(i)1732 159 y Fq(=)g(0)p Fl(;)8 b Fi(8)p Fl(i)k(<)h(k)0 271 y Fh(\()p Fl(k)h Fq(=)f Fi(\000)p Fq(1)k Fh(if)f Fl(u)11 b Fi(\010)f Fl(x)j Fq(=)h(0)p Fh(\).)21 b(L)n(et)15 b Fl(M)593 278 y Fj(u)629 271 y Fq(=)e Fi(f)p Fl(k)f Fi(\000)e Fq(1)p Fl(;)e(:)g(:)g(:)d(;)j Fq(0)p Fi(g)15 b Fh(\(eventual)r(ly)h(empty)h(if)f Fl(k)e Fi(\024)g Fq(0)p Fh(\).)21 b(Then)15 b(the)i(father)g(of)g Fl(u)0 384 y Fh(in)f Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)p Fq(\))15 b Fh(is)563 401 y Fg(8)563 438 y(>)563 451 y(>)563 463 y(>)563 475 y(<)563 550 y(>)563 563 y(>)563 575 y(>)563 588 y(:)621 479 y Fl(u)647 486 y Fj(d)p Fu(\000)p Fk(1)720 479 y Fl(:)8 b(:)g(:)d(u)806 486 y Fj(k)q Fk(+1)873 479 y Fq(0)p Fl(u)922 486 y Fj(k)q Fu(\000)p Fk(1)995 479 y Fl(:)j(:)g(:)e(u)1082 486 y Fk(0)1159 479 y Fh(if)17 b Fl(k)c Fi(6)p Fq(=)g Fi(\000)p Fq(1)p Fh(;)621 592 y Fi(;)515 b Fh(if)17 b Fl(k)c Fq(=)g Fi(\000)p Fq(1)p Fh(;)0 688 y(and)j(his)g Fl(k)i Fh(childr)n(en)d(ar)n(e)412 739 y Fg(8)412 776 y(>)412 789 y(>)412 801 y(>)412 814 y(<)412 889 y(>)412 901 y(>)412 913 y(>)412 926 y(:)470 817 y Fl(u)496 824 y Fj(d)p Fu(\000)p Fk(1)569 817 y Fl(:)8 b(:)g(:)d(u)655 824 y Fj(k)q Fk(+1)722 817 y Fq(1)p Fl(u)771 824 y Fj(k)q Fu(\000)p Fk(1)845 817 y Fl(:)j(:)g(:)p 905 793 45 2 v 5 w(u)931 824 y Fj(j)957 817 y Fl(:)g(:)g(:)e(u)1044 824 y Fk(0)1063 817 y Fl(;)i Fi(8)p Fl(j)15 b Fi(2)e Fl(M)1230 824 y Fj(u)1310 817 y Fh(if)j Fl(k)e Fi(6)p Fq(=)f Fi(\000)p Fq(1)p Fh(;)470 930 y Fl(u)496 937 y Fj(d)p Fu(\000)p Fk(1)569 930 y Fl(:)8 b(:)g(:)p 629 906 V 5 w(u)655 937 y Fj(j)681 930 y Fl(:)g(:)g(:)e(u)768 937 y Fk(0)788 930 y Fl(;)i Fi(8)p Fl(j)14 b Fi(2)f(f)p Fq(0)p Fl(;)8 b(:)g(:)g(:)t(;)g(d)h Fi(\000)i Fq(1)p Fi(g)128 b Fh(if)16 b Fl(k)e Fq(=)f Fi(\000)p Fq(1)p Fh(.)0 1048 y(Note)j(that)h Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)p Fq(\))12 b(=)h Fl(x)d Fi(\010)h Fl(S)s(B)r(T)6 b Fq(\(0\))15 b Fh(wher)n(e)i(the)f(xoring)g(applies)g(to)h(e) n(ach)f(vertex)g(of)h Fl(S)s(B)r(T)6 b Fq(\(0\))p Fh(.)71 1211 y Fq(F)l(or)14 b(an)o(y)h(v)o(ertex)g Fl(x)g Fq(of)g Fl(Q)505 1218 y Fj(d)525 1211 y Fq(,)g Fl(R)p Fq(\()p Fl(x)p Fq(\))f(denotes)h(its)h (left)f(bit)h(rotation,)e(that)g(is)561 1369 y Fl(R)p Fq(\()p Fl(x)640 1376 y Fj(d)p Fu(\000)p Fk(1)705 1369 y Fl(x)731 1376 y Fj(d)p Fu(\000)p Fk(2)804 1369 y Fl(:)8 b(:)g(:)d(x)890 1376 y Fk(1)910 1369 y Fl(x)936 1376 y Fk(0)956 1369 y Fq(\))12 b(=)h Fl(x)1060 1376 y Fj(d)p Fu(\000)p Fk(2)1133 1369 y Fl(:)8 b(:)g(:)e(x)1220 1376 y Fk(1)1239 1369 y Fl(x)1265 1376 y Fk(0)1285 1369 y Fl(x)1311 1376 y Fj(d)p Fu(\000)p Fk(1)1376 1369 y Fl(:)0 1528 y Fq(F)l(or)14 b Fl(j)h(>)d Fq(1,)i(the)g Fl(j)s Fq(-th)g(left)h (rotation)e(is)i(de\014ned)g(as)f Fl(R)925 1511 y Fj(j)956 1528 y Fq(=)f Fl(R)8 b Fi(\016)g Fl(R)1113 1511 y Fj(j)r Fu(\000)p Fk(1)1190 1528 y Fq(\()p Fl(R)1243 1511 y Fk(0)1275 1528 y Fq(=)13 b Fl(R)1358 1511 y Fj(d)1390 1528 y Fq(=)g Fl(I)t(d)p Fq(\).)19 b(This)c(op)q(erator)e(can)h(b)q(e)0 1641 y(applied)k(on)f (spanning)h(binomial)g(trees)e(on)h(all)g(the)g(v)o(ertices)g(since)h(it)e (preserv)o(es)h(the)g(adjacency)l(.)24 b(Note)17 b(that)0 1754 y(a)f(v)o(ertex)f Fl(u)h Fq(has)g(no)g(c)o(hild)h(in)g Fl(R)564 1737 y Fj(j)582 1754 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)p Fq(\)\))p Fl(;)i(j)15 b Fi(2)f(f)p Fq(0)p Fl(;)8 b(:)g(:)g(:)t(;)g(d)i Fi(\000)h Fq(1)p Fi(g)k Fq(if)h(and)g(only)h(if)f Fl(u)1467 1761 y Fj(j)1500 1754 y Fq(=)p 1549 1729 V 14 w Fl(x)1575 1761 y Fj(j)1593 1754 y Fq(.)22 b(This)17 b(prop)q(ert)o(y)e(is)0 1867 y(the)g(k)o(ey)f(of)g(the)h(pro)q(of)f(of)g(Prop)q(osition)h(1)f(as)g (one)g(will)j(see)d(later)h(in)g(the)g(pro)q(of)f(of)g(Lemma)g(3.)20 b(Figure)14 b(1)h(sho)o(ws)0 1979 y Fl(S)s(B)r(T)6 b Fq(\(000\))p Fl(;)i(S)s(B)r(T)e Fq(\(011\))12 b(and)j Fl(R)566 1963 y Fk(1)586 1979 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\(011\)\))13 b(in)j Fl(Q)929 1986 y Fk(3)948 1979 y Fq(.)-154 2453 y @beginspecial 28 @llx 439 @lly 570 @urx 538 @ury 5420 @rwi @setspecial %%BeginDocument: sbt.ps /arrowHeight 9 def /arrowWidth 5 def /IdrawDict 51 dict def IdrawDict begin /reencodeISO { dup dup findfont dup length dict begin { 1 index /FID ne { def }{ pop pop } ifelse } forall /Encoding ISOLatin1Encoding def currentdict end definefont } def /ISOLatin1Encoding [ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright /parenleft/parenright/asterisk/plus/comma/minus/period/slash /zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon /less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N /O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright /asciicircum/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m /n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright/asciitilde /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve /dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut /ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar /section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot /hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior /acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine /guillemotright/onequarter/onehalf/threequarters/questiondown /Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex /Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute /Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis /aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave /iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex /otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis /yacute/thorn/ydieresis ] def /Courier reencodeISO def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 1 printSize sub descender sub def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def /SSten { fgred fggreen fgblue setrgbcolor dup true exch 1 0 0 -1 0 6 -1 roll matrix astore } def /FSten { dup 3 -1 roll dup 4 1 roll exch newpath 0 0 moveto dup 0 exch lineto exch dup 3 1 roll exch lineto 0 lineto closepath bgred bggreen bgblue setrgbcolor eofill SSten } def /Rast { exch dup 3 1 roll 1 0 0 -1 0 6 -1 roll matrix astore } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def Begin [ 0.866142 0 0 0.866142 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Pict Begin %I Pict [ 1 0 0 1 -33 -38 ] concat Begin %I Pict Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 154 658 ] concat [ (000) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 90 625 ] concat [ (100) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 154 625 ] concat [ (010) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 221 625 ] concat [ (001) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 67 594 ] concat [ (110) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 114 594 ] concat [ (101) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 67 561 ] concat [ (111) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 154 594 ] concat [ (011) ] Text End End %I eop Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 224 480 163 460 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 224 480 289 460 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 225 479 225 460 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 225 446 225 427 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 161 445 181 428 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 160 445 138 428 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 137 415 137 396 Line End End %I eop Begin %I Pict [ 1 0 0 1 -33 -39 ] concat Begin %I Pict Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 385 659 ] concat [ (011) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 450 628 ] concat [ (010) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 385 628 ] concat [ (001) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 319 628 ] concat [ (111) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 385 595 ] concat [ (000) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 340 595 ] concat [ (110) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 297 595 ] concat [ (101) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 297 559 ] concat [ (100) ] Text End End %I eop Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 455 481 390 463 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 457 481 520 463 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 456 481 456 462 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 456 449 456 428 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 390 450 411 428 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 390 449 368 430 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 367 417 367 393 Line End End %I eop Begin %I Pict [ 1 0 0 1 161 155 ] concat Begin %I Pict Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 418 465 ] concat [ (110) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 480 431 ] concat [ (100) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 418 431 ] concat [ (010) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 352 431 ] concat [ (111) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 418 397 ] concat [ (000) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 374 397 ] concat [ (101) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 331 397 ] concat [ (011) ] Text End Begin %I Text 0 0 0 SetCFg Courier 10 SetF [ 1 0 0 1 331 363 ] concat [ (001) ] Text End End %I eop Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 489 287 423 266 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 490 287 550 266 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 490 286 490 266 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 491 251 491 230 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 422 252 443 231 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 422 251 402 232 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 -61 168 ] concat 402 218 402 198 Line End End %I eop End %I eop End %I eop showpage end %%EndDocument @endspecial 395 2608 a(Figure)f(1:)20 b Fl(S)s(B)r(T)6 b Fq(\(000\))p Fl(;)i(S)s(B)r(T)e Fq(\(011\))12 b(and)j Fl(R)1160 2591 y Fk(1)1180 2608 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\(011\)\))13 b(in)j Fl(Q)1523 2615 y Fk(3)1542 2608 y Fq(.)964 2795 y(7)p eop %%Page: 8 8 7 bop 71 46 a Fq(An)o(y)12 b(of)f(the)h(trees)g Fl(R)429 29 y Fj(j)447 46 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)p Fq(\)\))p Fl(;)i(j)13 b Fq(=)g(0)p Fl(;)8 b(:)g(:)g(:)t(;)g(d)t Fi(\000)t Fq(1)j(can)h(b)q(e)g(used)h(for)e(broadcasting)h(a)g(message)f(from)g Fl(x)h Fq([4]:)0 159 y(at)j(eac)o(h)h(step,)f(the)h(message)f(is)i(sen)o(t)e (from)g(all)i(the)e(v)o(ertices)h(at)f(the)h(same)g(lev)o(el)h(in)f(the)g (tree)g(sim)o(ultaneously)0 271 y(to)f(all)i(their)f(c)o(hildren)i(in)e(the)g (tree.)22 b(The)16 b(lev)o(els)h(are)e(lab)q(eled)j(from)d(0)g(to)g Fl(d)p Fq(,)g(the)h(ro)q(ot)f(b)q(eing)i(the)f(only)g(v)o(ertex)0 384 y(of)e(lev)o(el)i(0.)k(Suc)o(h)15 b(a)g(broadcast)f(tak)o(es)g Fl(d)g Fq(steps)h(since)g(the)g(depth)h(of)e(these)h(trees)f(is)i Fl(d)p Fq(.)j(More)14 b(precisely)l(,)j(if)e Fl(u)f Fq(is)0 497 y(at)f(distance)i Fl(\016)r Fq(\()p Fl(u;)8 b(x)p Fq(\))k(from)h(the)h (source)g Fl(x)p Fq(,)g Fl(u)f Fq(will)j(receiv)o(e)f(the)f(message)f(after)g Fl(\016)r Fq(\()p Fl(u;)8 b(x)p Fq(\))k(steps)i(since)h(these)f(trees)0 610 y(con)o(tains)h(only)h(shortest)e(path)h(b)q(et)o(w)o(een)h(an)o(y)f(v)o (ertex)g(and)g(his)h(c)o(hildren)h(in)f(the)f(trees.)71 723 y(W)l(e)g(are)g(no)o(w)f(ready)i(to)e(giv)o(e)i(our)e(allo)q(cation)j(and)e (broadcasting)g(strategies.)0 903 y Fd(Allo)r(cation)i(strategy)0 1045 y Fq(Our)11 b(allo)q(cation)i(uses)e(the)g(Binary)h(Re\015ected)g(Gra)o (y)e(Co)q(de)h(sequence)h(BR)o(GC\()p Fl(d)p Fq(\))g(=)h Fi(f)p Fl(x)1508 1029 y Fk(\(1\))1555 1045 y Fl(;)8 b(x)1602 1029 y Fk(\(2\))1648 1045 y Fl(;)g(:)g(:)g(:)d(;)j(x)1776 1029 y Fk(\(2)1808 1017 y Fb(d)1824 1029 y Fk(\))1840 1045 y Fi(g)j Fq(\(see)0 1158 y(for)j(instance)i([3]\).)j(Recall)e(that)d(BR)o(GC\(1\))e(=) h Fi(f)p Fq(0)p Fl(;)8 b Fq(1)p Fi(g)13 b Fq(and)i(BR)o(GC\()p Fl(d)p Fq(\))d(=)h Fi(f)p Fq(0BR)o(GC)o(\()p Fl(d)c Fi(\000)i Fq(1\))p Fl(;)d Fq(1)p 1659 1119 271 2 v(BR)o(GC)n(\()p Fl(d)h Fi(\000)i Fq(1\))o Fi(g)0 1271 y Fq(where)p 133 1232 192 2 v 17 w(BR)o(GC\()p Fl(d)p Fq(\))k(denotes)i(BR)o(GC\()p Fl(d)p Fq(\))f(in)h(the)g(rev)o(erse)f(order.)24 b(F)l(or)16 b(instance)i(BR)o (GC\(2\))c(=)h Fi(f)p Fq(00)p Fl(;)8 b Fq(01)p Fl(;)g Fq(11)p Fl(;)f Fq(10)o Fi(g)0 1384 y Fq(and)16 b(BR)o(GC\(3\))d(=)i Fi(f)p Fq(000)p Fl(;)8 b Fq(001)p Fl(;)f Fq(011)p Fl(;)g Fq(01)o(0)p Fl(;)g Fq(110)o Fl(;)h Fq(1)o(11)p Fl(;)f Fq(10)o(1)p Fl(;)g Fq(100)p Fi(g)o Fq(.)20 b(W)l(e)c(de\014ne)h(allo)q(c)q(\()p Fl(j)s Fq(\))c(=)i Fl(x)1562 1367 y Fk(\()p Fj(j)r Fk(\))1607 1384 y Fq(,)h(1)e Fi(\024)h Fl(j)h Fi(\024)f Fq(2)1831 1367 y Fj(d)1867 1384 y Fq(that)0 1497 y(is)h(the)f Fl(j)s Fq(-th)g(elemen)o(t)g (of)g(the)h(BR)o(GC)f(sequence.)0 1677 y Fd(Broadcasting)k(strategy)0 1819 y Fq(First)11 b(w)o(e)h(describ)q(e)h(the)f(broadcasting)g(algorithm)g (used)g(b)o(y)g(a)f(pro)q(cessor)h Fl(x)1303 1802 y Fk(\()p Fj(j)r Fk(\))1348 1819 y Fl(;)c(j)14 b Fi(2)f(f)p Fq(1)p Fl(;)8 b(:)g(:)g(:)d(;)j Fq(2)1616 1802 y Fj(d)1635 1819 y Fi(g)p Fq(.)18 b(Let)12 b Fl(\027)j Fq(b)q(e)e(suc)o(h)0 1932 y(that)j Fl(x)126 1915 y Fk(\()p Fj(j)r Fk(\))183 1932 y Fi(\010)11 b Fl(x)255 1915 y Fk(\()p Fj(j)r Fk(+1\))361 1932 y Fq(=)16 b(2)435 1915 y Fj(\027)472 1932 y Fq(\(with)h Fl(x)621 1915 y Fk(\(2)653 1904 y Fb(d)671 1915 y Fk(+1\))747 1932 y Fq(=)e Fl(x)823 1915 y Fk(\(1\))870 1932 y Fq(\))i(that)f(is)h Fl(x)1078 1915 y Fk(\()p Fj(j)r Fk(\))1140 1932 y Fq(and)g Fl(x)1256 1915 y Fk(\()p Fj(j)r Fk(+1\))1363 1932 y Fq(di\013ers)g(in)h(dimension)g Fl(\027)s Fq(.)25 b(Then,)0 2045 y Fl(x)26 2028 y Fk(\()p Fj(j)r Fk(\))87 2045 y Fq(uses)16 b Fl(R)219 2028 y Fj(\027)240 2045 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)402 2028 y Fk(\()p Fj(j)r Fk(\))447 2045 y Fq(\)\))15 b(to)g(broadcast)f Fl(\026)788 2052 y Fj(j)807 2045 y Fq(.)21 b(Note)15 b(that)f(when)i Fl(x)1194 2028 y Fk(\()p Fj(j)r Fk(\))1255 2045 y Fq(p)q(erforms)f(its)h(broadcasts,)e Fl(x)1773 2028 y Fk(\()p Fj(j)r Fk(+1\))1879 2045 y Fq(will)0 2158 y(receiv)o(e)i Fl(\026)176 2165 y Fj(j)210 2158 y Fq(at)e(the)i(\014rst) f(step.)k(Moreo)o(v)o(er,)14 b(b)o(y)h(construction,)g Fl(x)1126 2141 y Fk(\()p Fj(j)r Fk(+1\))1232 2158 y Fq(is)h(a)f(leaf)g(in)h Fl(R)1488 2141 y Fj(\027)1510 2158 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)1672 2141 y Fk(\()p Fj(j)r Fk(\))1717 2158 y Fq(\)\).)71 2271 y(No)o(w)19 b(w)o(e)g(ha)o(v)o(e)g(to)g(sp)q(ecify)i(ho)o(w) e(these)h(di\013eren)o(t)g(broadcasts)f(can)g(b)q(e)i(sc)o(heduled)g (successiv)o(ely)l(.)35 b(Since)0 2384 y Fl(x)26 2367 y Fk(\()p Fj(j)r Fk(+1\))133 2384 y Fq(is)16 b(a)g(leaf)g(in)h Fl(R)392 2367 y Fj(\027)414 2384 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\()p Fl(x)576 2367 y Fk(\()p Fj(j)r Fk(\))621 2384 y Fq(\)\),)15 b(after)g(reception)i(of)f Fl(\026)1071 2391 y Fj(j)1089 2384 y Fq(,)g(and)g(assuming)h(that)e(all)i(the)f(previous)h(v)m(alues)0 2496 y(ha)o(v)o(e)i(b)q(een)h(receiv)o(ed,)g Fl(x)437 2480 y Fk(\()p Fj(j)r Fk(+1\))547 2496 y Fq(is)f(ready)g(to)f(b)q(egin)i(the)f (broadcast)g(of)f Fl(\026)1286 2503 y Fj(j)r Fk(+1)1350 2496 y Fq(.)31 b(Ho)o(w)o(ev)o(er,)18 b(if)i Fl(x)1666 2480 y Fk(\()p Fj(j)r Fk(+1\))1775 2496 y Fq(p)q(erforms)0 2609 y(the)e(\014rst)f(step)g(of) g(its)h(broadcast)f(when)h Fl(x)752 2593 y Fk(\()p Fj(j)r Fk(\))815 2609 y Fq(p)q(erforms)f(the)h(second)g(step)f(of)g(its)h(broadcast,)f(a)g (con\015ict)h(will)964 2795 y(8)p eop %%Page: 9 9 8 bop 31 646 a @beginspecial 120 @llx 325 @lly 573 @urx 480 @ury 4530 @rwi @setspecial %%BeginDocument: confli.ps /arrowHeight 9 def /arrowWidth 5 def /IdrawDict 53 dict def IdrawDict begin /reencodeISO { dup dup findfont dup length dict begin { 1 index /FID ne { def }{ pop pop } ifelse } forall /Encoding ISOLatin1Encoding def currentdict end definefont } def /ISOLatin1Encoding [ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright /parenleft/parenright/asterisk/plus/comma/minus/period/slash /zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon /less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N /O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright /asciicircum/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m /n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright/asciitilde /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve /dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut /ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar /section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot /hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior /acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine /guillemotright/onequarter/onehalf/threequarters/questiondown /Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex /Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute /Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis /aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave /iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex /otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis /yacute/thorn/ydieresis ] def /Times-Italic reencodeISO def /Times-Roman reencodeISO def /Symbol dup findfont def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 1 printSize sub descender sub def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def /SSten { fgred fggreen fgblue setrgbcolor dup true exch 1 0 0 -1 0 6 -1 roll matrix astore } def /FSten { dup 3 -1 roll dup 4 1 roll exch newpath 0 0 moveto dup 0 exch lineto exch dup 3 1 roll exch lineto 0 lineto closepath bgred bggreen bgblue setrgbcolor eofill SSten } def /Rast { exch dup 3 1 roll 1 0 0 -1 0 6 -1 roll matrix astore } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def Begin [ 0.866142 0 0 0.866142 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Pict Begin %I Pict Begin %I Pict [ 1 0 0 1 -33 -1 ] concat Begin %I Rect 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 72 255 172 354 Rect End Begin %I Rect 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 176 197 ] concat 72 255 172 354 Rect End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 73 354 125 382 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 172 354 223 381 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 174 255 225 283 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 73 255 124 283 Line End End %I eop Begin %I Pict [ 1 0 0 1 185 -1 ] concat Begin %I Rect 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 72 255 172 354 Rect End Begin %I Rect 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 176 197 ] concat 72 255 172 354 Rect End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 73 354 125 382 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 172 354 223 381 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 174 255 225 283 Line End Begin %I Line 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 73 255 124 283 Line End End %I eop End %I eop Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 28 330 ] concat 137 192 5 5 Elli End Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 1 SetP [ 1 -0 -0 1 343 329 ] concat 137 192 5 5 Elli End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 47 352 138 353 Line End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 46 355 90 380 Line End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 40 347 39 256 Line End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 310 380 407 381 Line End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 310 379 309 283 Line End Begin %I Line 3 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 258 254 358 254 Line End Begin %I Line 3 0 1 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 357 347 357 259 Line End Begin %I Line 3 0 1 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 352 353 260 353 Line End Begin %I Line 3 0 1 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 124 169 ] concat 360 354 406 378 Line End Begin %I Pict [ 1 0 0 1 -48 -135 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 419 679 ] concat [ (\(j\)) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 410 672 ] concat [ (x) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 -20 -123 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 292 640 ] concat [ (x) ] Text End Begin %I Pict [ 1 0 0 1 -50 37 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 14 SetF [ 1 0 0 1 369 609 ] concat [ (1) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 350 610 ] concat [ (\(j+ \)) ] Text End End %I eop End %I eop Begin %I Pict [ 1 0 0 1 -260 -133 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 419 679 ] concat [ (\(j\)) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 410 672 ] concat [ (x) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 195 -123 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 292 640 ] concat [ (x) ] Text End Begin %I Pict [ 1 0 0 1 -50 37 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 14 SetF [ 1 0 0 1 369 609 ] concat [ (1) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 350 610 ] concat [ (\(j+ \)) ] Text End End %I eop End %I eop Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 1 SetP [ 1 -0 -0 1 128 329 ] concat 137 192 5 5 Elli End Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 243 330 ] concat 137 192 5 5 Elli End Begin %I Text 0 0 0 SetCFg Symbol 12 SetF [ 1 0 0 1 224 517 ] concat [ (n) ] Text End Begin %I Text 0 0 0 SetCFg Symbol 12 SetF [ 1 0 0 1 445 517 ] concat [ (n) ] Text End Begin %I Pict [ 1 0 0 1 -147 -249 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 289 640 ] concat [ (First step of the broadcast from ) ] Text End Begin %I Pict [ 1 0 0 1 42 -31 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 419 679 ] concat [ (\(j\)) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 410 672 ] concat [ (x) ] Text End End %I eop End %I eop Begin %I Pict [ 1 0 0 1 40 37 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 314 365 ] concat [ (Second step of the broadcast from) (and first step of the broadcast from ) ] Text End Begin %I Pict [ 1 0 0 1 76 -304 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 419 679 ] concat [ (\(j\)) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 410 672 ] concat [ (x) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 202 -285 ] concat Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 292 640 ] concat [ (x) ] Text End Begin %I Pict [ 1 0 0 1 -50 37 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 14 SetF [ 1 0 0 1 369 609 ] concat [ (1) ] Text End Begin %I Text 0 0 0 SetCFg Times-Italic 14 SetF [ 1 0 0 1 350 610 ] concat [ (\(j+ \)) ] Text End End %I eop End %I eop End %I eop End %I eop Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 616 489 ] concat [ (Conflicts) ] Text End Begin %I BSpl 0 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 17 169 ] concat 594 315 530 267 476 254 3 BSpl End Begin %I BSpl 0 0 1 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 17 169 ] concat 593 315 563 351 521 376 3 BSpl End End %I eop showpage end %%EndDocument @endspecial 266 800 a Fq(Figure)16 b(2:)j(A)c(con\015ict)h(o)q(ccurs)g(when) g(t)o(w)o(o)d(SBT's)i(are)g(initiated)i(at)e(eac)o(h)g(step.)0 938 y(o)q(ccur)e(\(see)g(for)g(instance)h(Figure)f(2\).)18 b(Our)c(broadcast)e(sc)o(heduling)j(is)f(th)o(us)e(as)h(follo)o(ws:)19 b(after)12 b(reception)i(of)f Fl(\026)1919 945 y Fj(j)1937 938 y Fq(,)0 1051 y(Pro)q(cessor)h Fl(x)230 1034 y Fk(\()p Fj(j)r Fk(+1\))335 1051 y Fq(w)o(aits)g(one)g(top,)g(and)h(then)f(b)q(egins)i (the)e(broadcast)g(of)g Fl(\026)1319 1058 y Fj(j)r Fk(+1)1383 1051 y Fq(.)19 b(There)c(is)g(no)f(mo)q(di\014cation)h(of)0 1164 y(the)g(broadcasts)f(whic)o(h)i(are)e(still)j(p)q(erformed)e(lev)o(el)h (b)o(y)f(lev)o(el)h(as)e(sp)q(eci\014ed)j(b)q(efore.)j(Only)c(the)f(time)h (when)f(the)0 1276 y(di\013eren)o(t)g(broadcast)g(will)i(b)q(e)f(initiated)g (is)g(sp)q(eci\014ed)h(here:)k(ev)o(ery)15 b(t)o(w)o(o)f(steps,)g(a)h(new)h (broadcast)e(b)q(egins.)0 1439 y Fc(Lemma)j(1)23 b Fh(The)g(al)r(lo)n(c)n (ation)f(str)n(ate)n(gy)h(and)g(the)g(br)n(o)n(adc)n(ast)g(sche)n(duling)f (sp)n(e)n(ci\014e)n(d)f(ab)n(ove)i(pr)n(o)n(duc)n(e)g(a)g Fq(v)m(alid)0 1552 y Fh(implementation)16 b(of)g(the)h(Suc)n(c)n(essive)d(Br)n(o)n(adc)n (ast)i(A)o(lgorithm.)0 1715 y Fc(Pro)q(of:)31 b Fq(W)l(e)18 b(ha)o(v)o(e)g(to)g(sho)o(w)g(that)g(the)h(order)f(of)g(reception)i(of)e(the) h(sequence)g Fl(\026)1454 1722 y Fj(j)1473 1715 y Fl(;)8 b(j)20 b Fq(=)f(1)p Fl(;)8 b(:)g(:)g(:)t(;)g(p)18 b Fq(is)h(correct.)0 1828 y(Assume)g(it)f(is)h(not,)g(and)g(let)f Fl(i)g Fq(b)q(e)i(the)e (smallest)h(in)o(teger)g(suc)o(h)g(that)e Fl(x)1273 1811 y Fk(\()p Fj(i)p Fk(\))1333 1828 y Fq(receiv)o(es)j(t)o(w)o(o)d(v)m(alues)i(in) h(a)e(wrong)0 1941 y(order,)d(that)f(is)i(receiv)o(es)g Fl(\026)470 1948 y Fj(j)486 1939 y Ft(00)524 1941 y Fq(b)q(efore)f Fl(\026)687 1948 y Fj(j)703 1939 y Ft(0)732 1941 y Fq(for)g(some)g Fl(j)938 1924 y Fu(0)964 1941 y Fq(and)g Fl(j)1074 1924 y Fu(00)1110 1941 y Fq(satisfying)h Fl(j)1335 1924 y Fu(00)1368 1941 y Fl(>)d(j)1438 1924 y Fu(0)1449 1941 y Fq(.)71 2054 y(Let)18 b Fl(t)171 2061 y Fj(j)187 2052 y Ft(0)219 2054 y Fq(and)g Fl(t)326 2061 y Fj(j)342 2052 y Ft(00)383 2054 y Fq(b)q(e)g(resp)q(ectiv)o(ely)i(the)e (emission)h(time)f(of)g Fl(\026)1152 2061 y Fj(j)1168 2052 y Ft(0)1199 2054 y Fq(b)o(y)g Fl(x)1291 2037 y Fk(\()p Fj(j)1321 2025 y Ft(0)1332 2037 y Fk(\))1366 2054 y Fq(and)g(the)g(emission)h(time)g (of)e Fl(\026)1911 2061 y Fj(j)1927 2052 y Ft(00)0 2166 y Fq(b)o(y)h Fl(x)92 2150 y Fk(\()p Fj(j)122 2138 y Ft(00)142 2150 y Fk(\))158 2166 y Fq(.)29 b(Since)19 b(there)f(are)g Fl(j)541 2150 y Fu(00)574 2166 y Fi(\000)12 b Fl(j)643 2150 y Fu(0)666 2166 y Fi(\000)g Fq(1)18 b(v)o(ertices)h(b)q(et)o(w)o(een)f Fl(x)1126 2150 y Fk(\()p Fj(j)1156 2138 y Ft(0)1167 2150 y Fk(\))1201 2166 y Fq(and)g Fl(x)1318 2150 y Fk(\()p Fj(j)1348 2138 y Ft(00)1368 2150 y Fk(\))1402 2166 y Fq(in)h(the)f(Gra)o(y)f(co)q(de)i(sequence,)0 2279 y Fl(t)16 2287 y Fj(j)32 2278 y Ft(00)68 2279 y Fi(\025)13 b Fl(t)132 2287 y Fj(j)148 2278 y Ft(0)172 2279 y Fq(+)d(2\()p Fl(j)280 2263 y Fu(00)310 2279 y Fi(\000)g Fl(j)377 2263 y Fu(0)388 2279 y Fq(\),)15 b(and)g Fl(\016)r Fq(\()p Fl(x)588 2263 y Fk(\()p Fj(j)618 2251 y Ft(0)629 2263 y Fk(\))645 2279 y Fl(;)8 b(x)692 2263 y Fk(\()p Fj(j)722 2251 y Ft(00)741 2263 y Fk(\))757 2279 y Fq(\))k Fi(\024)h Fl(j)857 2263 y Fu(00)888 2279 y Fi(\000)d Fl(j)955 2263 y Fu(0)966 2279 y Fq(.)71 2392 y(No)o(w,)k(since)i Fl(x)324 2376 y Fk(\()p Fj(i)p Fk(\))380 2392 y Fq(receiv)o(es)g Fl(\026)574 2400 y Fj(j)590 2390 y Ft(00)628 2392 y Fq(b)q(efore)g Fl(\026)792 2400 y Fj(j)808 2390 y Ft(0)822 2392 y Fq(,)e Fl(t)865 2400 y Fj(j)881 2390 y Ft(00)914 2392 y Fq(+)c Fl(\016)r Fq(\()p Fl(x)1025 2376 y Fk(\()p Fj(j)1055 2364 y Ft(00)1075 2376 y Fk(\))1091 2392 y Fl(;)e(x)1138 2376 y Fk(\()p Fj(i)p Fk(\))1179 2392 y Fq(\))k Fi(\024)h Fl(t)1273 2400 y Fj(j)1289 2390 y Ft(0)1313 2392 y Fq(+)d Fl(\016)r Fq(\()p Fl(x)1424 2376 y Fk(\()p Fj(j)1454 2364 y Ft(0)1465 2376 y Fk(\))1481 2392 y Fl(;)e(x)1528 2376 y Fk(\()p Fj(i)p Fk(\))1568 2392 y Fq(\))15 b(Th)o(us)g(2\()p Fl(j)1779 2376 y Fu(00)1809 2392 y Fi(\000)10 b Fl(j)1876 2376 y Fu(0)1887 2392 y Fq(\))g(+)0 2505 y Fl(\016)r Fq(\()p Fl(x)66 2489 y Fk(\()p Fj(j)96 2477 y Ft(00)116 2489 y Fk(\))132 2505 y Fl(;)e(x)179 2489 y Fk(\()p Fj(i)p Fk(\))219 2505 y Fq(\))13 b Fi(\024)g Fl(\016)r Fq(\()p Fl(x)364 2489 y Fk(\()p Fj(j)394 2477 y Ft(0)404 2489 y Fk(\))420 2505 y Fl(;)8 b(x)467 2489 y Fk(\()p Fj(j)497 2477 y Ft(00)516 2489 y Fk(\))532 2505 y Fq(\))i(+)g Fl(\016)r Fq(\()p Fl(x)671 2489 y Fk(\()p Fj(j)701 2477 y Ft(00)721 2489 y Fk(\))736 2505 y Fl(;)e(x)783 2489 y Fk(\()p Fj(i)p Fk(\))824 2505 y Fq(\).)20 b(Therefore)15 b Fl(\016)r Fq(\()p Fl(x)1147 2489 y Fk(\()p Fj(j)1177 2477 y Ft(0)1187 2489 y Fk(\))1203 2505 y Fl(;)8 b(x)1250 2489 y Fk(\()p Fj(j)1280 2477 y Ft(00)1299 2489 y Fk(\))1315 2505 y Fq(\))k Fi(\025)h Fq(2\()p Fl(j)1456 2489 y Fu(00)1486 2505 y Fi(\000)d Fl(j)1553 2489 y Fu(0)1564 2505 y Fq(\),)15 b(and)g(then)g Fl(j)1823 2489 y Fu(0)1847 2505 y Fq(=)e Fl(j)1917 2489 y Fu(00)1937 2505 y Fq(,)0 2618 y(a)i(con)o(tradiction.)20 b Fa(2)964 2795 y Fq(9)p eop %%Page: 10 10 9 bop 0 46 a Fc(Lemma)17 b(2)23 b Fh(Assuming)11 b(ther)n(e)h(is)g(no)g(c)n (on\015icts,)f(the)i(br)n(o)n(adc)n(ast)f(sche)n(duling)f(sp)n(e)n(ci\014e)n (d)f(ab)n(ove)i(al)r(lows)g(to)h(p)n(erform)0 159 y(the)k(Suc)n(c)n(essive)d (Br)n(o)n(adc)n(asts)h(A)o(lgorithm)i(in)e(time)i Fq(2)p Fl(p)9 b Fq(+)i(log)1052 169 y Fk(2)1079 159 y Fl(p)f Fi(\000)g Fq(2)p Fh(.)0 298 y Fc(Pro)q(of:)26 b Fq(A)17 b(new)g(broadcast)f(is)i(initiated)g (ev)o(ery)f(2)f(tops.)24 b(After)17 b(2\()p Fl(p)10 b Fi(\000)i Fq(1\))k(tops,)g(the)h(last)g(broadcast)f(b)q(egins)0 411 y(and)f(completes)h (in)g(log)410 422 y Fk(2)437 411 y Fl(p)f Fq(tops.)20 b Fa(2)0 588 y Fc(Lemma)d(3)23 b Fh(The)17 b(br)n(o)n(adc)n(ast)f(sche)n(duling)f(sp)n (e)n(ci\014e)n(d)g(ab)n(ove)i(p)n(erforms)g(the)f(Suc)n(c)n(essive)f(Br)n(o)n (adc)n(asts)h(A)o(lgorithm)0 701 y(without)h(any)g(c)n(on\015icts.)0 841 y Fc(Pro)q(of:)22 b Fq(Let)15 b Fl(T)6 b Fq(\()p Fl(x)322 824 y Fk(\()p Fj(i)p Fk(\))363 841 y Fq(\))14 b(and)g Fl(T)6 b Fq(\()p Fl(x)559 824 y Fk(\()p Fj(j)r Fk(\))604 841 y Fq(\))14 b(b)q(e)h(the)g(broadcasts)e(trees,)h(as)g(sp)q(eci\014ed)j(b)q(efore,)d(of)g Fl(x)1583 824 y Fk(\()p Fj(i)p Fk(\))1639 841 y Fq(and)g Fl(x)1752 824 y Fk(\()p Fj(j)r Fk(\))1812 841 y Fq(resp)q(ec-)0 954 y(tiv)o(ely)l(,)k Fl(i)c(<)h(j)s Fq(.)24 b(Let)17 b Fl(u)f Fq(b)q(e)h(a)g(v)o(ertex)f(of)g Fl(Q)731 961 y Fj(d)768 954 y Fq(at)f(lev)o(el)j Fl(l)943 961 y Fj(i)974 954 y Fq(in)f Fl(T)6 b Fq(\()p Fl(x)1105 937 y Fk(\()p Fj(i)p Fk(\))1146 954 y Fq(\),)16 b(and)h Fl(v)h Fq(another)e(v)o(ertex)g(of) h Fl(Q)1720 961 y Fj(d)1756 954 y Fq(at)f(lev)o(el)i Fl(l)1932 961 y Fj(j)0 1067 y Fq(in)e Fl(T)6 b Fq(\()p Fl(x)130 1050 y Fk(\()p Fj(j)r Fk(\))175 1067 y Fq(\).)20 b(Assume)c(that,)e(for)g(some)h (time)h Fl(t)p Fq(,)f Fl(u)h Fq(is)f(activ)o(e)h(in)g(the)f(broadcast)g(of)g Fl(x)1473 1050 y Fk(\()p Fj(i)p Fk(\))1529 1067 y Fq(and)h Fl(v)h Fq(is)e(activ)o(e)h(in)g(the)0 1180 y(broadcast)h(of)g Fl(x)290 1163 y Fk(\()p Fj(j)r Fk(\))336 1180 y Fq(.)27 b(Note)18 b(that)f(this)h(assumption)g(implies)i Fl(l)1095 1187 y Fj(j)1129 1180 y Fl(<)d(l)1195 1187 y Fj(i)1209 1180 y Fq(.)27 b(The)18 b(question)h(is:)25 b(is)18 b(it)g(p)q(ossible)i(that)0 1293 y Fl(u)13 b Fq(=)g Fl(v)r Fq(?)256 2015 y @beginspecial 138 @llx 401 @lly 483 @urx 564 @ury 3450 @rwi @setspecial %%BeginDocument: level.ps /arrowHeight 9 def /arrowWidth 5 def /IdrawDict 51 dict def IdrawDict begin /reencodeISO { dup dup findfont dup length dict begin { 1 index /FID ne { def }{ pop pop } ifelse } forall /Encoding ISOLatin1Encoding def currentdict end definefont } def /ISOLatin1Encoding [ /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright /parenleft/parenright/asterisk/plus/comma/minus/period/slash /zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon /less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N /O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright /asciicircum/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m /n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright/asciitilde /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef /.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve /dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut /ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar /section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot /hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior /acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine /guillemotright/onequarter/onehalf/threequarters/questiondown /Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex /Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute /Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis /aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave /iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex /otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis /yacute/thorn/ydieresis ] def /Times-Roman reencodeISO def /none null def /numGraphicParameters 17 def /stringLimit 65535 def /Begin { save numGraphicParameters dict begin } def /End { end restore } def /SetB { dup type /nulltype eq { pop false /brushRightArrow idef false /brushLeftArrow idef true /brushNone idef } { /brushDashOffset idef /brushDashArray idef 0 ne /brushRightArrow idef 0 ne /brushLeftArrow idef /brushWidth idef false /brushNone idef } ifelse } def /SetCFg { /fgblue idef /fggreen idef /fgred idef } def /SetCBg { /bgblue idef /bggreen idef /bgred idef } def /SetF { /printSize idef /printFont idef } def /SetP { dup type /nulltype eq { pop true /patternNone idef } { dup -1 eq { /patternGrayLevel idef /patternString idef } { /patternGrayLevel idef } ifelse false /patternNone idef } ifelse } def /BSpl { 0 begin storexyn newpath n 1 gt { 0 0 0 0 0 0 1 1 true subspline n 2 gt { 0 0 0 0 1 1 2 2 false subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline } if n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Circ { newpath 0 360 arc patternNone not { ifill } if brushNone not { istroke } if } def /CBSpl { 0 begin dup 2 gt { storexyn newpath n 1 sub dup 0 0 1 1 2 2 true subspline 1 1 n 3 sub { /i exch def i 1 sub dup i dup i 1 add dup i 2 add dup false subspline } for n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline n 2 sub dup n 1 sub dup 0 0 1 1 false subspline patternNone not { ifill } if brushNone not { istroke } if } { Poly } ifelse end } dup 0 4 dict put def /Elli { 0 begin newpath 4 2 roll translate scale 0 0 1 0 360 arc patternNone not { ifill } if brushNone not { istroke } if end } dup 0 1 dict put def /Line { 0 begin 2 storexyn newpath x 0 get y 0 get moveto x 1 get y 1 get lineto brushNone not { istroke } if 0 0 1 1 leftarrow 0 0 1 1 rightarrow end } dup 0 4 dict put def /MLine { 0 begin storexyn newpath n 1 gt { x 0 get y 0 get moveto 1 1 n 1 sub { /i exch def x i get y i get lineto } for patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if brushNone not { istroke } if 0 0 1 1 leftarrow n 2 sub dup n 1 sub dup rightarrow } if end } dup 0 4 dict put def /Poly { 3 1 roll newpath moveto -1 add { lineto } repeat closepath patternNone not { ifill } if brushNone not { istroke } if } def /Rect { 0 begin /t exch def /r exch def /b exch def /l exch def newpath l b moveto l t lineto r t lineto r b lineto closepath patternNone not { ifill } if brushNone not { istroke } if end } dup 0 4 dict put def /Text { ishow } def /idef { dup where { pop pop pop } { exch def } ifelse } def /ifill { 0 begin gsave patternGrayLevel -1 ne { fgred bgred fgred sub patternGrayLevel mul add fggreen bggreen fggreen sub patternGrayLevel mul add fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor eofill } { eoclip originalCTM setmatrix pathbbox /t exch def /r exch def /b exch def /l exch def /w r l sub ceiling cvi def /h t b sub ceiling cvi def /imageByteWidth w 8 div ceiling cvi def /imageHeight h def bgred bggreen bgblue setrgbcolor eofill fgred fggreen fgblue setrgbcolor w 0 gt h 0 gt and { l b translate w h scale w h true [w 0 0 h neg 0 h] { patternproc } imagemask } if } ifelse grestore end } dup 0 8 dict put def /istroke { gsave brushDashOffset -1 eq { [] 0 setdash 1 setgray } { brushDashArray brushDashOffset setdash fgred fggreen fgblue setrgbcolor } ifelse brushWidth setlinewidth originalCTM setmatrix stroke grestore } def /ishow { 0 begin gsave fgred fggreen fgblue setrgbcolor /fontDict printFont printSize scalefont dup setfont def /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end transform exch pop def /vertoffset 1 printSize sub descender sub def { 0 vertoffset moveto show /vertoffset vertoffset printSize sub def } forall grestore end } dup 0 3 dict put def /patternproc { 0 begin /patternByteLength patternString length def /patternHeight patternByteLength 8 mul sqrt cvi def /patternWidth patternHeight def /patternByteWidth patternWidth 8 idiv def /imageByteMaxLength imageByteWidth imageHeight mul stringLimit patternByteWidth sub min def /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv patternHeight mul patternHeight max def /imageHeight imageHeight imageMaxHeight sub store /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def 0 1 imageMaxHeight 1 sub { /y exch def /patternRow y patternByteWidth mul patternByteLength mod def /patternRowString patternString patternRow patternByteWidth getinterval def /imageRow y imageByteWidth mul def 0 patternByteWidth imageByteWidth 1 sub { /x exch def imageString imageRow x add patternRowString putinterval } for } for imageString end } dup 0 12 dict put def /min { dup 3 2 roll dup 4 3 roll lt { exch } if pop } def /max { dup 3 2 roll dup 4 3 roll gt { exch } if pop } def /midpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 x1 add 2 div y0 y1 add 2 div end } dup 0 4 dict put def /thirdpoint { 0 begin /y1 exch def /x1 exch def /y0 exch def /x0 exch def x0 2 mul x1 add 3 div y0 2 mul y1 add 3 div end } dup 0 4 dict put def /subspline { 0 begin /movetoNeeded exch def y exch get /y3 exch def x exch get /x3 exch def y exch get /y2 exch def x exch get /x2 exch def y exch get /y1 exch def x exch get /x1 exch def y exch get /y0 exch def x exch get /x0 exch def x1 y1 x2 y2 thirdpoint /p1y exch def /p1x exch def x2 y2 x1 y1 thirdpoint /p2y exch def /p2x exch def x1 y1 x0 y0 thirdpoint p1x p1y midpoint /p0y exch def /p0x exch def x2 y2 x3 y3 thirdpoint p2x p2y midpoint /p3y exch def /p3x exch def movetoNeeded { p0x p0y moveto } if p1x p1y p2x p2y p3x p3y curveto end } dup 0 17 dict put def /storexyn { /n exch def /y n array def /x n array def n 1 sub -1 0 { /i exch def y i 3 2 roll put x i 3 2 roll put } for } def /SSten { fgred fggreen fgblue setrgbcolor dup true exch 1 0 0 -1 0 6 -1 roll matrix astore } def /FSten { dup 3 -1 roll dup 4 1 roll exch newpath 0 0 moveto dup 0 exch lineto exch dup 3 1 roll exch lineto 0 lineto closepath bgred bggreen bgblue setrgbcolor eofill SSten } def /Rast { exch dup 3 1 roll 1 0 0 -1 0 6 -1 roll matrix astore } def /arrowhead { 0 begin transform originalCTM itransform /taily exch def /tailx exch def transform originalCTM itransform /tipy exch def /tipx exch def /dy tipy taily sub def /dx tipx tailx sub def /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def gsave originalCTM setmatrix tipx tipy translate angle rotate newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto patternNone not { originalCTM setmatrix /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul arrowWidth div def /padtail brushWidth 2 div def tipx tipy translate angle rotate padtip 0 translate arrowHeight padtip add padtail add arrowHeight div dup scale arrowheadpath ifill } if brushNone not { originalCTM setmatrix tipx tipy translate angle rotate arrowheadpath istroke } if grestore end } dup 0 9 dict put def /arrowheadpath { newpath arrowHeight neg arrowWidth 2 div moveto 0 0 lineto arrowHeight neg arrowWidth 2 div neg lineto } def /leftarrow { 0 begin y exch get /taily exch def x exch get /tailx exch def y exch get /tipy exch def x exch get /tipx exch def brushLeftArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def /rightarrow { 0 begin y exch get /tipy exch def x exch get /tipx exch def y exch get /taily exch def x exch get /tailx exch def brushRightArrow { tipx tipy tailx taily arrowhead } if end } dup 0 4 dict put def Begin [ 0.866142 0 0 0.866142 0 0 ] concat /originalCTM matrix currentmatrix def Begin %I Pict 2 0 0 [] 0 SetB Begin %I Poly 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 124 169 ] concat 105 452 40 320 172 320 3 Poly End Begin %I Poly 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg none SetP %I p n [ 1 -0 -0 1 288 169 ] concat 105 452 40 320 172 320 3 Poly End End %I eop Begin %I Pict [ 1 0 0 1 -107 145 ] concat Begin %I Pict [ 1 0 0 1 10 -89 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 320 421 ] concat [ (x) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 326 428 ] concat [ (\(i\)) ] Text End End %I eop Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 319 332 ] concat [ (T\( \)) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 -20 146 ] concat Begin %I Pict [ 1 0 0 1 32 -81 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 380 412 ] concat [ (x) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 386 419 ] concat [ (\(j\)) ] Text End End %I eop Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 400 331 ] concat [ (T\( \)) ] Text End End %I eop Begin %I Line 1 0 0 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 121 169 ] concat 41 320 424 320 Line End Begin %I Line 1 0 0 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 121 236 ] concat 41 320 424 320 Line End Begin %I Line 1 0 0 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 121 260 ] concat 41 320 424 320 Line End Begin %I Line 1 0 0 [12 4] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0 SetP [ 1 -0 -0 1 121 302 ] concat 41 320 424 320 Line End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 548 629 ] concat [ (0) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 548 496 ] concat [ (d) ] Text End Begin %I Pict [ 1 0 0 1 173 212 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 375 352 ] concat [ (l) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 381 346 ] concat [ (i) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 59 247 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 489 340 ] concat [ (l) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 494 335 ] concat [ (j) ] Text End End %I eop Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 243 550 ] concat [ (u) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 394 575 ] concat [ (v) ] Text End Begin %I Pict [ 1 0 0 1 7 226 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 380 412 ] concat [ (x) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 386 419 ] concat [ (\(j\)) ] Text End End %I eop Begin %I Pict [ 1 0 0 1 -97 218 ] concat Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 320 421 ] concat [ (x) ] Text End Begin %I Text 0 0 0 SetCFg Times-Roman 12 SetF [ 1 0 0 1 326 428 ] concat [ (\(i\)) ] Text End End %I eop Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0.5 SetP [ 1 -0 -0 1 291 356 ] concat 104 224 5 5 Elli End Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0.5 SetP [ 1 -0 -0 1 141 332 ] concat 104 224 5 5 Elli End Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0.5 SetP [ 1 -0 -0 1 289 397 ] concat 104 224 5 5 Elli End Begin %I Elli 0 0 0 [] 0 SetB 0 0 0 SetCFg 1 1 1 SetCBg 0.5 SetP [ 1 -0 -0 1 126 397 ] concat 104 224 5 5 Elli End End %I eop showpage end %%EndDocument @endspecial 71 2171 a(There)i(are)g(mainly)h(t)o(w)o(o)e(cases:)56 2305 y(1.)22 b(A)o(t)14 b(time)h Fl(t)p Fq(,)f Fl(u)h Fq(and)g Fl(v)h Fq(are)e Fh(sending)f Fl(\026)757 2312 y Fj(i)786 2305 y Fq(and)i Fl(\026)901 2312 y Fj(j)934 2305 y Fq(resp)q(ectiv)o(ely)l(.)22 b(In)15 b(that)f(case,)g Fl(l)1472 2312 y Fj(i)1494 2305 y Fi(\000)c Fl(l)1553 2312 y Fj(j)1583 2305 y Fq(=)j(2\()p Fl(j)e Fi(\000)e Fl(i)p Fq(\).)19 b(On)c(the)114 2418 y(other)g(hand,)g Fl(x)385 2402 y Fk(\()p Fj(i)p Fk(\))442 2418 y Fq(and)g Fl(x)556 2402 y Fk(\()p Fj(j)r Fk(\))617 2418 y Fq(di\013ers)h(in)g(at)e(most)h Fl(j)d Fi(\000)f Fl(i)k Fq(bits.)20 b(No)o(w,)15 b(b)o(y)g(construction)g(of) g(the)h(broadcast)114 2531 y(trees,)626 2670 y Fl(u)d Fq(=)g Fl(x)739 2654 y Fk(\()p Fj(i)p Fk(\))791 2670 y Fi(\010)g Fq(^)-26 b Fl(u)42 b Fq(where)18 b(^)-26 b Fl(u)13 b Fi(2)g Fl(R)1152 2654 y Fj(r)1170 2670 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\(0\)\))14 b(at)h(lev)o(el)h Fl(l)1552 2677 y Fj(i)952 2795 y Fq(10)p eop %%Page: 11 11 10 bop 496 46 a Fq(and)58 b Fl(v)14 b Fq(=)f Fl(x)737 29 y Fk(\()p Fj(j)r Fk(\))793 46 y Fi(\010)f Fq(^)-25 b Fl(v)44 b Fq(where)17 b(^)-25 b Fl(v)14 b Fi(2)f Fl(R)1149 29 y Fj(s)1168 46 y Fq(\()p Fl(S)s(B)r(T)6 b Fq(\(0\)\))13 b(at)i(lev)o(el)h Fl(l)1549 53 y Fj(j)114 200 y Fq(for)e(some)h(in)o(tegers)g Fl(r)h Fq(and)g Fl(s)p Fq(.)k(Therefore)755 355 y Fl(u)12 b Fq(=)h Fl(v)i Fi(\))h Fq(^)-26 b Fl(u)10 b Fi(\010)i Fq(^)-25 b Fl(v)15 b Fq(=)e Fl(x)1128 336 y Fk(\()p Fj(i)p Fk(\))1179 355 y Fi(\010)e Fl(x)1251 336 y Fk(\()p Fj(j)r Fk(\))1296 355 y Fl(:)114 510 y Fq(Again)k(b)o(y)g(construction)h(of)f(the)g(trees,)g Fi(j)s Fq(^)-26 b Fl(u)10 b Fi(\010)i Fq(^)-25 b Fl(v)r Fi(j)12 b(\025)h Fl(l)1027 517 y Fj(i)1051 510 y Fi(\000)e Fl(l)1111 517 y Fj(j)1141 510 y Fq(=)i(2\()p Fl(j)f Fi(\000)e Fl(i)p Fq(\))15 b(and)g Fi(j)p Fl(x)1482 493 y Fk(\()p Fj(i)p Fk(\))1534 510 y Fi(\010)10 b Fl(x)1605 493 y Fk(\()p Fj(j)r Fk(\))1651 510 y Fi(j)i(\024)h Fl(j)g Fi(\000)d Fl(i)p Fq(.)20 b(Th)o(us)114 622 y Fl(u)12 b Fi(6)p Fq(=)h Fl(v)r Fq(,)i(otherwise)g Fl(i)d Fq(=)h Fl(j)s Fq(.)114 753 y(The)e(case)g(where,)g(at)g(time)g Fl(t)p Fq(,)h Fl(u)f Fq(and)g Fl(v)h Fq(are)f Fh(r)n(e)n(c)n(eiving)e Fl(\026)1062 760 y Fj(i)1087 753 y Fq(and)i Fl(\026)1198 760 y Fj(j)1228 753 y Fq(resp)q(ectiv)o(ely)l(,)i(can)e(b)q(e)h(treated)e (similarly)l(.)56 902 y(2.)22 b(A)o(t)16 b(time)g Fl(t)p Fq(,)h Fl(u)f Fq(is)h Fh(sending)e Fl(\026)612 909 y Fj(i)643 902 y Fq(and)i Fl(v)h Fq(is)f Fh(r)n(e)n(c)n(eiving)e Fl(\026)1034 909 y Fj(j)1052 902 y Fq(.)24 b(In)17 b(that)f(case,)g Fl(l)1371 909 y Fj(i)1395 902 y Fi(\000)c Fl(l)1456 909 y Fj(j)1488 902 y Fq(=)j(2\()p Fl(j)e Fi(\000)e Fl(i)p Fq(\))g Fi(\000)g Fq(1.)23 b(Th)o(us)16 b(if)114 1015 y Fl(j)c Fi(\000)f Fl(i)h(>)h Fq(1,)h(a)h(similar) i(argumen)o(t)d(as)h(in)h(case)f(1)g(sho)o(ws)f(that)h Fl(u)e Fi(6)p Fq(=)g Fl(v)r Fq(.)114 1146 y(Assume)k(that)g Fl(j)i Fq(=)d Fl(i)c Fq(+)f(1)18 b(and)f(denote)h Fl(\027)j Fq(the)c(dimension)i(in) f(whic)o(h)h Fl(x)1382 1130 y Fk(\()p Fj(i)p Fk(\))1441 1146 y Fq(and)e Fl(x)1557 1130 y Fk(\()p Fj(i)p Fk(+1\))1661 1146 y Fq(di\013er.)27 b(No)q(de)18 b Fl(u)114 1259 y Fq(is)f(at)f(lev)o(el)h Fl(l)336 1266 y Fj(i)367 1259 y Fq(in)g Fl(T)6 b Fq(\()p Fl(x)498 1243 y Fk(\()p Fj(i)p Fk(\))539 1259 y Fq(\))16 b(and)h Fl(v)h Fq(is)f(at)f(lev)o(el)i Fl(l)926 1266 y Fj(i)951 1259 y Fi(\000)11 b Fq(1)16 b(in)h Fl(T)6 b Fq(\()p Fl(x)1167 1243 y Fk(\()p Fj(i)p Fk(+1\))1254 1259 y Fq(\).)23 b(Th)o(us,)17 b(if)g Fl(u)d Fq(=)i Fl(v)i Fq(then)f Fl(u)11 b Fi(\010)g Fl(x)1826 1243 y Fk(\()p Fj(i)p Fk(\))1884 1259 y Fq(has)114 1372 y(exactly)i Fl(l)282 1379 y Fj(i)309 1372 y Fq(bits)g(1,)g(and)g Fl(u)6 b Fi(\010)g Fl(x)629 1355 y Fk(\()p Fj(i)p Fk(+1\))729 1372 y Fq(has)13 b(exactly)g Fl(l)976 1379 y Fj(i)995 1372 y Fi(\000)6 b Fq(1)13 b(bits)h(1.)k(Therefore)13 b Fl(u)1443 1379 y Fj(\027)1478 1372 y Fq(=)p 1526 1329 125 2 v 13 w(\()p Fl(x)1570 1359 y Fk(\()p Fj(i)p Fk(\))1611 1372 y Fq(\))1629 1379 y Fj(\027)1650 1372 y Fq(,)g(and)g Fl(u)g Fq(is)h(a)f(leaf)114 1485 y(in)h Fl(T)6 b Fq(\()p Fl(x)242 1468 y Fk(\()p Fj(i)p Fk(\))283 1485 y Fq(\))13 b(=)g Fl(x)388 1468 y Fk(\()p Fj(i)p Fk(\))437 1485 y Fi(\010)7 b Fl(R)514 1468 y Fj(\027)536 1485 y Fq(\()p Fl(S)s(B)r(T)f Fq(\(0\)\):)18 b(a)13 b(con)o(tradiction)i(with)f(the)g(fact)f(that)g Fl(u)h Fq(is)h Fh(sending)d Fl(\026)1712 1492 y Fj(i)1727 1485 y Fq(.)19 b(Therefore)114 1598 y Fl(u)12 b Fi(6)p Fq(=)h Fl(v)r Fq(.)20 b Fa(2)0 1792 y Fc(Pro)q(of)d(of)h(Prop)q(osition)h(1:)g Fq(directly)e(follo)o(ws)e(from)g(Lemmas)g(1,)f(2)h(and)h(3.)j Fa(2)0 2015 y Fc(Lo)o(w)o(er)d(Bound.)46 b Fq(Concerning)16 b(a)f(lo)o(w)o(er)f(b)q(ound)j(of)d(our)h(problem,)h(w)o(e)f(state)f(the)h (follo)o(wing)h(results:)0 2173 y Fc(Prop)q(osition)j(2)j Fh(L)n(et)17 b Fl(\013)p Fq(\()p Fl(d)p Fq(\))g Fh(b)n(e)h(the)g(maximum,)h(over)f(al)r(l) g(the)g(sp)n(anning)e(tr)n(e)n(es)g Fl(T)24 b Fh(of)18 b Fl(Q)1565 2180 y Fj(d)1585 2173 y Fh(,)g(of)g(the)g(numb)n(er)g(of)0 2286 y(le)n(aves)d(of)h Fl(T)6 b Fh(.)21 b(A)o(ny)15 b(implementation)g(of)h (the)h(Suc)n(c)n(essive)d(Br)n(o)n(adc)n(asts)h(A)o(lgorithm)h(with)g(no)g(c) n(on\015ict)f(p)n(erforms)0 2399 y(in)h(a)g(time)h(at)f(le)n(ast)g Fq(2)p Fl(p)9 b Fi(\000)i Fl(\013)p Fq(\()p Fl(d)p Fq(\))e Fi(\000)i Fq(1)16 b Fh(wher)n(e)g Fl(p)c Fq(=)h(2)875 2382 y Fj(d)895 2399 y Fh(.)0 2557 y Fc(Pro)q(of:)25 b Fq(In)17 b(an)o(y)f(implemen)o(tation)h(of)f(the)g(Successiv)o(e)i(Broadcasts)d (Algorithm)i(with)f(no)g(con\015ict,)h(an)o(y)f(pro-)0 2670 y(cessor)k(has)g(to)g(receiv)o(e)h Fl(p)13 b Fi(\000)h Fq(1)20 b(messages,)h(and)f(to)g(send)g(its)h(o)o(wn)f(message.)34 b(Moreo)o(v)o(er,)20 b(let)h Fl(T)6 b Fq(\()p Fl(x)p Fq(\))19 b(b)q(e)i(the)952 2795 y(11)p eop %%Page: 12 12 11 bop 0 46 a Fq(broadcast)18 b(tree)h(of)g(pro)q(cessor)f Fl(x;)8 b(x)18 b Fi(2)i(f)p Fq(0)p Fl(;)8 b(:)g(:)g(:)t(;)g(p)k Fi(\000)h Fq(1)p Fi(g)p Fq(.)30 b(The)19 b(n)o(um)o(b)q(er)h(of)e(lea)o(v)o (es)h(of)g Fl(T)6 b Fq(\()p Fl(x)p Fq(\))18 b(is)h(smaller)h(than)0 159 y Fl(\013)p Fq(\()p Fl(d)p Fq(\).)26 b(Therefore,)17 b(during)h(the)g (broadcast)f(from)f Fl(x)p Fq(,)i(at)f(least)g Fl(p)11 b Fi(\000)h Fl(\013)p Fq(\()p Fl(d)p Fq(\))f Fi(\000)h Fq(1)17 b(v)o(ertices)h(ha)o(v)o (e)f(to)g(forw)o(ard)f(the)0 271 y(message)c(after)f(reception.)20 b(Th)o(us)13 b(during)g(the)f(whole)h(implemen)o(tation)h(of)d(the)i (Algorithm,)g(there)f(are)g(at)g(least)0 384 y Fl(p)p Fq(\()p Fl(p)f Fi(\000)h Fl(\013)p Fq(\()p Fl(d)p Fq(\))f Fi(\000)h Fq(1\))17 b(forw)o(arding)g(op)q(erations.)27 b(Therefore,)18 b(there)g(exists)g(a)f(v)o(ertex)g Fl(x)1478 391 y Fk(0)1515 384 y Fq(who)h(forw)o(ards)e(at)h(least)0 497 y Fl(p)10 b Fi(\000)h Fl(\013)p Fq(\()p Fl(d)p Fq(\))f Fi(\000)h Fq(1)k(messages.)21 b(Th)o(us)16 b(an)o(y)f(implemen)o(tation)i(of)f(the)g(Successiv)o(e)h (Broadcasts)e(Algorithm)h(needs)g(a)0 610 y(time)g(of)e(at)h(least)g(\()p Fl(p)10 b Fi(\000)g Fq(1\))g(+)g(1)g(+)h(\()p Fl(p)e Fi(\000)i Fl(\013)p Fq(\()p Fl(d)p Fq(\))e Fi(\000)h Fq(1\).)20 b Fa(2)71 773 y Fq(Note)c(that)f Fl(\013)p Fq(\()p Fl(d)p Fq(\))f Fi(\025)439 753 y Fj(p)p 439 762 18 2 v 439 789 a Fk(2)462 773 y Fq(.)24 b(Indeed,)18 b(this)f(b)q(ound)g(is)g(reac)o(hed)g(b)o(y)f(the)h(Spanning)g (Binomial)h(T)l(ree.)24 b(Ho)o(w)o(ev)o(er,)0 886 y(for)12 b Fl(d)g Fi(\025)h Fq(4,)f(it)h(is)g(p)q(ossible)h(to)d(do)i(b)q(etter)f(\\b) o(y)g(hand":)19 b Fl(\013)p Fq(\(4\))12 b Fi(\025)h Fq(10.)18 b(Therefore,)12 b(it)h(ma)o(y)e(b)q(e)i(p)q(ossible)h(to)e(p)q(erform)0 999 y(faster)i(than)236 981 y Fk(3)p 236 988 V 236 1014 a(2)259 999 y Fl(p)c Fq(+)g Fl(o)p Fq(\()p Fl(p)p Fq(\).)20 b(On)15 b(the)h(other)e(hand,)i(it)f(is)h(imp)q(ossible)h(to)e(p)q(erform)g(in)h Fl(p)10 b Fq(+)g Fl(o)p Fq(\()p Fl(p)p Fq(\).)0 1175 y Fc(Sim)o(ulations.)46 b Fq(W)l(e)13 b(p)q(erformed)g(some)g(sim)o(ulations)h(of)e(di\013eren)o(t)i (successiv)o(e)g(broadcasts)e(implemen)o(tations)0 1288 y(and)k(generated)f (the)h(corresp)q(onding)h(time-stamp)q(ed)f(traces.)21 b(W)l(e)15 b(obtain)h(the)g(Figures)f(with)h(a)g(re-execution)0 1401 y(of)f(the)g (generated)g(data)g(on)g(the)g(P)o(araGraph)803 1385 y Fk(1)837 1401 y Fq(to)q(ol.)71 1514 y(The)d(successiv)o(e)h(broadcasts)f(are)g (started)f(follo)o(wing)i(a)f(Gra)o(y)f(co)q(de)i(in)g(the)f(h)o(yp)q(ercub)q (e.)21 b(Figure)12 b(3)g(presen)o(ts)0 1627 y(a)g(sim)o(ulation)i(of)e(the)g (successiv)o(e)i(broadcasts)d(using)j(a)e(classical)i(spanning)f(binomial)h (trees)e(in)i(a)e(sync)o(hronised)0 1740 y(routine.)31 b(Figure)19 b(4)f(presen)o(ts)h(a)f(sim)o(ulation)i(of)e(the)h(in)o(terlea)o(v)o(ed)h (spanning)f(binomial)i(trees)d(and)h(Figure)g(5)0 1853 y(presen)o(ts)14 b(a)g(sim)o(ulation)i(of)d(our)h(implemen)o(tation)i(that)e(sho)o(ws)f(ho)o (w)h(the)h(rotated)e(spanning)i(binomial)h(broad-)0 1966 y(cast)h(trees)h (are)f(in)o(terlea)o(v)o(ed)i(in)g(a)e(4-cub)q(e.)29 b(Remark)18 b(the)g(e\013ectiv)o(e)g(gain)g(in)g(time)h(as)e(the)h(time)g(scale)h(is)f (the)0 2079 y(same)g(on)h(eac)o(h)f(Figures)h(and)g(that)f(only)h(11)f(trees) g(are)g(represen)o(ted)h(in)h(Figure)f(3,)f(while)i(the)f(16)f(trees)g(are)0 2191 y(sho)o(wn)d(in)h(Figure)f(4)g(and)h(Figure)f(5.)p 0 2231 780 2 v 52 2290 a Fr(1)69 2306 y Fs(Av)n(ailable)h(via)e(in)o(ternet)g(:)i (send)e(an)f(email)i(message)e(con)o(taining)j("send)e(index)g(from)f (paragraph")i(to)e(netlib@ornl.go)o(v.)952 2795 y Fq(12)p eop %%Page: 13 13 12 bop 0 46 a Fm(4)69 b(Conclusion)0 204 y Fq(W)l(e)13 b(studied)i(in)f(this) f(pap)q(er)h(the)f Fh(suc)n(c)n(essive)g(br)n(o)n(adc)n(asts)f Fq(problem)i(in)g(whic)o(h)g(the)f(no)q(des)h(of)f(a)g(net)o(w)o(ork)f(ha)o (v)o(e)h(to)0 316 y(p)q(erform)e(b)o(y)g(turns)g(a)g(broadcast)f(in)i(a)f(sp) q(eci\014ed)j(order.)k(This)12 b(problem)f(comes)h(from)e(parallel)j (implemen)o(tation)0 429 y(of)i(linear)h(algebra)f(algorithms)h(on)f (distributed)h(memory)f(m)o(ulticomputers.)71 542 y(A)i(straigh)o(tforw)o (ard)f(sc)o(heduling)k(p)q(erforms)d(in)i(time)f Fl(O)q Fq(\()p Fl(p)11 b Fi(\002)h Fl(T)1185 549 y Fj(br)q(oadcast)1336 542 y Fq(\()p Fl(p)p Fq(\)\))k(in)j(an)o(y)e(net)o(w)o(ork.)27 b(W)l(e)18 b(sho)o(w)0 655 y(that,)d(in)i(h)o(yp)q(ercub)q(es,)g(it)g(is)f(p) q(ossible)i(to)d(p)q(erform)h(successiv)o(e)h(broadcasts)e(in)i(time)g Fl(O)q Fq(\()p Fl(p)10 b Fq(+)h(log)1698 666 y Fk(2)1726 655 y Fl(p)p Fq(\))k(b)o(y)h(using)0 768 y(individual)23 b(broadcasting)d(based)g (on)g(the)g(rotations)g(of)f(the)h(spanning)h(binomial)h(tree.)34 b(W)l(e)20 b(sho)o(w)o(ed)g(that)0 881 y(our)e(approac)o(h)g(is)g(within)i(a) e(factor)f(of)h(2)g(of)f(the)i(optimalit)o(y)l(.)29 b(An)19 b(op)q(en)f(problem)h(sta)o(ys)e(to)h(\014nd)h(the)f(exact)0 994 y(complexit)o(y)h(of)e(the)h(successiv)o(e)h(broadcasts)e(problem)i(in)f (h)o(yp)q(ercub)q(e.)30 b(W)l(e)18 b(deriv)o(ed)h(a)e(lo)o(w)o(er)h(b)q(ound) h(based)0 1107 y(on)c(coun)o(ting)g(the)h(maxim)o(um)e(n)o(um)o(b)q(er)i(of)e (lea)o(v)o(es)i Fl(\013)p Fq(\()p Fl(d)p Fq(\))e(of)g(an)o(y)h(spanning)h (tree)f(of)g(the)g Fl(d)p Fq(-cub)q(e.)21 b(Ho)o(w)o(ev)o(er,)13 b(w)o(e)0 1220 y(did)j(not)f(succeed)h(in)g(\014nding)h(the)e(explicit)j(v)m (alue)e(of)f Fl(\013)p Fq(\()p Fl(d)p Fq(\),)f(and)h(this)h(v)m(alue)g(ma)o (y)f(b)q(e)h(not)e(su\016cien)o(t)i(to)f(giv)o(e)g(a)0 1333 y(tigh)o(t)g(lo)o(w)o(er)g(b)q(ound.)71 1446 y(Besides)f(its)g(man)o(y)f (applications)j(in)e(linear)h(algebra,)f(the)f(successiv)o(e)i(broadcasts)e (problem)h(is)g(in)o(teresting)0 1559 y(b)o(y)f(itself.)20 b(In)13 b(particular)h(it)f(could)h(b)q(e)g(of)e(\014rst)h(in)o(terest)g(to)f (study)h(this)h(problem)f(on)g(other)g(top)q(ologies)g(as)g(grids)0 1671 y(and)i(meshes,)h(and)f(under)h(other)f(comm)o(unication)h(constrain)o (ts)e(as)h(sp)q(eci\014ed)i(in)f([1].)0 1886 y Fm(References)0 2044 y Fq([1])22 b(P)l(.)e(F)l(raigniaud)i(and)f(E.)g(Lazard.)37 b(Metho)q(ds)20 b(and)h(problems)h(of)e(comm)o(unication)i(in)g(usual)f(net)o (w)o(orks.)71 2157 y Fh(Discr)n(ete)15 b(Applie)n(d)h(Maths)h(\(sp)n(e)n (cial)d(issue)i(on)g(br)n(o)n(adc)n(asting\))p Fq(,)d(\(to)i(app)q(ear\).)0 2301 y([2])22 b(S.M.)12 b(Hedetniemi,)k(S.T.)c(Hedetniemi,)k(and)e(A.L.)f (Liestman.)k(A)d(surv)o(ey)f(of)g(gossiping)h(and)g(broadcasting)71 2414 y(in)i(comm)o(unication)g(net)o(w)o(orks.)i Fh(Networks)p Fq(,)d(18:319{349,)d(1986.)0 2557 y([3])22 b(S.L.)14 b(Johnsson.)20 b(Comm)o(unication)15 b(e\016cien)o(t)h(basic)f(linear)i(algebra)d (computations)h(on)g(h)o(yp)q(ercub)q(e)h(arc)o(hi-)71 2670 y(tectures.)j Fh(Journal)e(of)f(Par)n(al)r(le)g(and)g(Distribute)n(d)h (Computing)p Fq(,)e(4:133{172,)d(1987.)952 2795 y(13)p eop %%Page: 14 14 13 bop 67 51 1816 2 v 67 990 2 939 v 97 977 a @beginspecial 15 @llx 231 @lly 597 @urx 531 @ury 4252 @rwi @setspecial %%BeginDocument: trace.4.c.p.ps /readstring { currentfile exch readhexstring pop } bind def /picstr 98 string def gsave 15.3 231.38 translate 581.4 299.239 scale 783 403 1 [ 783 0 0 -403 0 403 ] { picstr readstring } image 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffc007ffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffc007ffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffc007ffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffc61c71820c6e83f871c71871bbfffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffbaebaebfbee4bffdbbbaebae93fffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffc007ffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffbeebafbfbeeabffdbbbafba eabfffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffc007ffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffc6182f8 7beee87fdbb82f860bbfffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffc007ffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffafbafbfbeeebffdbbbacaeebbfffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffc007ffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffbafbaebfbeeebffdbbbaeb6ebbfffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffc007ffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffc6fbb183bc6e83f871b b1baebbfffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffc007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffc007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffc007ffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffc007ffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffc007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffc007ff ffffe0000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0003ffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffbffff ffc007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffbffffffc007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffbffffffc007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffbffffffc007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffbffffffc007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ff707fefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007fe77ffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007ff70ffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ff7f7fe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbffff ffc007ff7f7fefffffffffffffffeffffffffffff3fffffffffff3ffffff ffffffffffffefffffffffffeffffffffffff3fffffffffffffffffff3ff ffffffffffffffffefffffffffffeffffffffffff3fffffffffff3ffffff fffffffffffbffffffc007ff777fefffffffffffffffdfffffffffffedff fffffffff1ffffffffffffffffffdfffffffffffdffffffffffff1ffffff ffffffffffffedffffffffffffffffffdfffffffffffdfffffffffffedff fffffffff1fffffffffffffffffbffffffc007fe38ffefffffffffffffff dfffffffffffedffffffffffe9ffffffffffffffffffdfffffffffffdfff fffffffff1ffffffffffffffffffedffffffffffffffffffdfffffffffff dfffffffffffedfffffffffff1fffffffffffffffffbffffffc007ffffff efffffffffffffffbfffffffffffdeffffffffffecffffffffffffffffff bfffffffffffbffffffffffff0ffffffffffffffffffdeffffffffffffff ffffbfffffffffffbfffffffffffdefffffffffff0fffffffffffffffffb ffffffc007ffffffefffffffffffffff7fffffffffffdf7fffffffffed7f ffffffffffffffff7fffffffffff7ffffffffffff17fffffffffffffffff df7fffffffffffffffff7fffffffffff7fffffffffffdf7ffffffffff97f fffffffffffffffbffffffc007ffffffeffffffffffffffeffffffffffff dfbfffffffffedbffffffffffffffffefffffffffffeffffffffffffe9bf ffffffffffffffffdfbffffffffffffffffefffffffffffeffffffffffff dfbffffffffff9bffffffffffffffffbffffffc007ffffffefffffffffff fffdffffffffffffbfdfffffffffeedffffffffffffffffdfffffffffffd ffffffffffffeadfffffffffffffffffbfdffffffffffffffffdffffffff fffdffffffffffffbfdffffffffffadffffffffffffffffbffffffc007ff ffffeffffffffffffffdffffffffffffbfdfffffffffdedfffffffffffff fffdfffffffffffdffffffffffffecdfffffffffffffffffbfdfffffffff fffffffdfffffffffffdffffffffffffbfdffffffffff8dfffffffffffff fffbffffffc007ffffffeffffffffffffffbffffffffffff7fefffffffff df6ffffffffffffffffbfffffffffffbffffffffffffed6fffffffffffff ffff7feffffffffffffffffbfffffffffffbffffffffffff7fefffffffff f96ffffffffffffffffbffffffc007ffffffeffffffffffffff7ffffffff ffff7ff7ffffffffdf77fffffffffffffff7fffffffffff7ffffffffffff ed77ffffffffffffffff7ff7fffffffffffffff7fffffffffff7ffffffff ffff7ff7fffffffff977fffffffffffffffbffffffc007ffffffefffffff ffffffefffffffffffff7ffbffffffffdf7bffffffffffffffefffffffff ffefffffffffffffed7bffffffffffffffff7ffbffffffffffffffefffff ffffffefffffffffffff7ffbfffffffff97bfffffffffffffffbffffffc0 07ffffffefffffffffffffdffffffffffffefffdffffffffdfbdffffffff ffffffdfffffffffffdfffffffffffffedbdfffffffffffffffefffdffff ffffffffffdfffffffffffdffffffffffffefffdfffffffff9bdffffffff fffffffbffffffc007ffffffefffffffffffffdffffffffffffefffdffff ffffbfbdffffffffffffffdfffffffffffdfffffffffffffeebdffffffff fffffffefffdffffffffffffffdfffffffffffdffffffffffffefffdffff fffffabdfffffffffffffffbffffffc007ffffffefffffffffffffbfffff fffffffdfffeffffffffbfdeffffffffffffffbfffffffffffbfffffffff ffffeedefffffffffffffffdfffeffffffffffffffbfffffffffffbfffff fffffffdfffefffffffffadefffffffffffffffbffffffc007ffffffefff ffffffffff7ffffffffffffdffff7fffffffbfdf7fffffffffffff7fffff ffffff7fffffffffffffeedf7ffffffffffffffdffff7fffffffffffff7f ffffffffff7ffffffffffffdffff7ffffffffcdf7ffffffffffffffbffff ffc007ffffffeffffffffffffefffffffffffffdffffbfffffffbfdfbfff fffffffffefffffffffffeffffffffffffffdedfbffffffffffffffdffff bffffffffffffefffffffffffefffffffffffffdffffbffffffffcdfbfff fffffffffffbffffffc007ff7effeffffffffffffdfffffffffffffbffff dfffffffbfefdffffffffffffdfffffffffffdffffffffffffffdeefdfff fffffffffffbffffdffffffffffffdfffffffffffdfffffffffffffbffff dffffffffcefdffffffffffffffbffffffc007fe7cffeffffffffffffdff fffffffffffbffffdfffffff7fefdffffffffffffdfffffffffffdffffff ffffffffdf6fdffffffffffffffbffffdffffffffffffdfffffffffffdff fffffffffffbffffdffffffffd6fdffffffffffffffbffffffc007ff7aff effffffffffffbfffffffffffff7ffffefffffff7ff7effffffffffffbff fffffffffbffffffffffffffdf77effffffffffffff7ffffefffffffffff fbfffffffffffbfffffffffffff7ffffeffffffffd77effffffffffffffb ffffffc007ff76ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000007fbffffffc007ff707feffffffffffff7fffffffffffff7 ffffffffffff7ff7fffffffffffff7fffffffffff7ffffffffffffffdf77 fffffffffffffff7fffffffffffffffff7fffffffffff7fffffffffffff7 fffffffffffffd77fffffffffffffffbffffffc007ff7effefffffffffff efffffffffffffefffffffffffff7ffbfffffffffffff3fffffffffff3ff ffffffffffffdf7bffffffffffffffefffffffffffffffffefffffffffff efffffffffffffeffffffffffffffd7bfffffffffffffffbffffffc007fe 3effefffffffffffefffffffffffffeffffffffffffefffbffffffffffff ebfffffffffff3ffffffffffffffdfbbffffffffffffffefffffffffffff ffffefffffffffffefffffffffffffeffffffffffffffdbbffffffffffff fffbffffffc007ffffffefffffffffffdfffffffffffffdffffffffffffe fffdffffffffffffedfffffffffff1ffffffffffffffdfbdffffffffffff ffdfffffffffffffffffdfffffffffffdfffffffffffffdfffffffffffff fdbdfffffffffffffffbffffffc007ffffffefffffffffffdfffffffffff ffdffffffffffffefffdffffffffffffedfffffffffff1ffffffffffffff dfbdffffffffffffffdfffffffffffffffffdfffffffffffdfffffffffff ffdffffffffffffffebdfffffffffffffffbffffffc007ffffffefffffff ffffdfffffffffffffdffffffffffffefffdffffffffffffedffffffffff e9ffffffffffffffbfbdffffffffffffffdfffffffffffffffffdfffffff ffffdfffffffffffffdffffffffffffffebdfffffffffffffffbffffffc0 07ffffffefffffffffffbfffffffffffffbffffffffffffefffeffffffff ffffeeffffffffffeaffffffffffffffbfbeffffffffffffffbfffffffff ffffffffbfffffffffffbfffffffffffffbffffffffffffffebeffffffff fffffffbffffffc007ffffffefffffffffffbfffffffffffffbfffffffff fffdfffeffffffffffffdeffffffffffecffffffffffffffbfdeffffffff ffffffbfffffffffffffffffbfffffffffffbfffffffffffffbfffffffff fffffedefffffffffffffffbffffffc007ffffffefffffffffff7fffffff ffffff7ffffffffffffdffff7fffffffffffdf7fffffffffed7fffffffff ffffbfdf7fffffffffffff7fffffffffffffffff7fffffffffff7fffffff ffffff7ffffffffffffffedf7ffffffffffffffbffffffc007ffffffefff ffffffff7fffffffffffff7ffffffffffffdffff7fffffffffffdf7fffff ffffed7fffffffffffffbfdf7fffffffffffff7fffffffffffffffff7fff ffffffff7fffffffffffff7ffffffffffffffedf7ffffffffffffffbffff ffc007ffffffefffffffffff7fffffffffffff7ffffffffffffdffff7fff ffffffffdf7fffffffffed7fffffffffffffbfdf7fffffffffffff7fffff ffffffffffff7fffffffffff7fffffffffffff7ffffffffffffffedf7fff fffffffffffbffffffc007ffffffeffffffffffefffffffffffffeffffff fffffffdffffbfffffffffffdfbfffffffffedbfffffffffffffbfdfbfff fffffffffefffffffffffffffffefffffffffffefffffffffffffeffffff fffffffffedfbffffffffffffffbffffffc007ffffffeffffffffffeffff fffffffffefffffffffffffbffffbfffffffffffbfbfffffffffeebfffff ffffffffbfefbffffffffffffefffffffffffffffffefffffffffffeffff fffffffffefffffffffffffffeefbffffffffffffffbffffffc007ffffff effffffffffdfffffffffffffdfffffffffffffbffffdfffffffffffbfdf ffffffffeedfffffffffffffbfefdffffffffffffdfffffffffffffffffd fffffffffffdfffffffffffffdfffffffffffffffeefdffffffffffffffb ffffffc007ffffffeffffffffffdfffffffffffffdfffffffffffffbffff dfffffffffffbfdfffffffffeedfffffffffffffbfefdffffffffffffdff fffffffffffffffdfffffffffffdfffffffffffffdffffffffffffffff6f dffffffffffffffbffffffc007ffffffeffffffffffdfffffffffffffdff fffffffffffbffffdfffffffffffbfdfffffffffdedfffffffffffff7fef dffffffffffffdfffffffffffffffffdfffffffffffdfffffffffffffdff ffffffffffffff6fdffffffffffffffbffffffc007ff78ffeffffffffffb fffffffffffffbfffffffffffffbffffefffffffffffbfefffffffffdeef ffffffffffff7fefeffffffffffffbfffffffffffffffffbfffffffffffb fffffffffffffbffffffffffffffff6feffffffffffffffbffffffc007fe 777feffffffffffbfffffffffffffbfffffffffffff7ffffefffffffffff 7fefffffffffdf6fffffffffffff7ff7effffffffffffbffffffffffffff fffbfffffffffffbfffffffffffffbffffffffffffffff77efffffffffff fffbffffffc007ff7f7feffffffffff7fffffffffffff7fffffffffffff7 fffff7ffffffffff7ff7ffffffffdf77ffffffffffff7ff7f7ffffffffff f7fffffffffffffffff7fffffffffff7fffffffffffff7ffffffffffffff ff77f7fffffffffffffbffffffc007ff7cffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000007fbffffffc007ff7f7fefffffff fff7effffffffffff3fffffffffffff7fffffbffffffffff7ff7ffffefff df77ffffefffffff7ff7fbfffffffffff3fffffffffffffffff7efffffff fff7effffffffffff3ffffffffffffffff77fbfffffffffffffbffffffc0 07ff777fefffffffffefdffffffffffff5fffffffffffff7fffffdffffff ffff7ffbffffdfffdf7bffffdfffffff7ff7fdfffffffffff5ffffffffff ffffffefdfffffffffefdffffffffffff5ffffffffffffffff77fdffffff fffffffbffffffc007fe38ffefffffffffefdfffffffffffedffffffffff ffeffffffdfffffffffefffbffffdfffdfbbffffdfffffff7ffbfdffffff fffff1ffffffffffffffffefdfffffffffefdffffffffffff1ffffffffff ffffff7bfdfffffffffffffbffffffc007ffffffefffffffffdfbfffffff ffffeeffffffffffffeffffffefffffffffefffdffffbfffdfbdffffbfff ffff7ffbfefffffffffff2ffffffffffffffffdfbfffffffffdfbfffffff fffff2ffffffffffffffff7bfefffffffffffffbffffffc007ffffffefff ffffffdf7fffffffffffef7fffffffffffefffffff7ffffffffefffdffff 7fffdfbdffff7fffffff7ffbff7ffffffffff37fffffffffffffffdf7fff ffffffdf7ffffffffffffb7fffffffffffffffbbff7ffffffffffffbffff ffc007ffffffefffffffffdeffffffffffffefbfffffffffffefffffffbf fffffffefffdfffeffffbfbdfffefffffffefffbffbfffffffffebbfffff ffffffffffdeffffffffffdefffffffffffffbbfffffffffffffffbbffbf fffffffffffbffffffc007ffffffefffffffffbdffffffffffffefdfffff ffffffefffffffdffffffffefffefffdffffbfbefffdfffffffefffbffdf ffffffffebdfffffffffffffffbdffffffffffbdfffffffffffffbdfffff ffffffffffbbffdffffffffffffbffffffc007ffffffefffffffffbdffff ffffffffdfdfffffffffffdfffffffdffffffffdfffefffdffffbfdefffd fffffffefffdffdfffffffffeddfffffffffffffffbdffffffffffbdffff fffffffff9dfffffffffffffffbdffdffffffffffffbffffffc007ffffff efffffffff7bffffffffffffdfefffffffffffdfffffffeffffffffdffff 7ffbffffbfdf7ffbfffffffefffdffefffffffffedefffffffffffffff7b ffffffffff7bfffffffffffff9efffffffffffffffbdffeffffffffffffb ffffffc007ffffffefffffffff77ffffffffffffdff7ffffffffffdfffff fff7fffffffdffff7ff7ffffbfdf7ff7fffffffefffdfff7ffffffffedf7 ffffffffffffff77ffffffffff77fffffffffffff9f7ffffffffffffffbd fff7fffffffffffbffffffc007ffffffefffffffff6fffffffffffffdffb ffffffffffdffffffffbfffffffdffff7fefffffbfdf7feffffffffefffd fffbffffffffedfbffffffffffffff6fffffffffff6ffffffffffffff9fb ffffffffffffffbdfffbfffffffffffbffffffc007ffffffeffffffffedf ffffffffffffdffdffffffffffdffffffffdfffffffdffffbfdfffffbfdf bfdffffffffefffdfffdffffffffedfdfffffffffffffedffffffffffedf fffffffffffff9fdffffffffffffffbdfffdfffffffffffbffffffc007ff ffffeffffffffedfffffffffffffbffdffffffffffbffffffffdfffffffb ffffbfdfffffbfefbfdffffffffefffefffdffffffffeefdffffffffffff fedffffffffffedffffffffffffffafdffffffffffffffbefffdffffffff fffbffffffc007ffffffeffffffffdbfffffffffffffbffeffffffffffbf fffffffefffffffbffffdfbfffffbfefdfbffffffffefffefffeffffffff eefefffffffffffffdbffffffffffdbffffffffffffffafeffffffffffff ffbefffefffffffffffbff0fffc007ffffffeffffffffd7fffffffffffff bfff7fffffffffbfffffffff7ffffffbffffdf7fffffbfefdf7ffffffffe fffeffff7fffffffeeff7ffffffffffffd7ffffffffffd7fffffffffffff fcff7fffffffffffffdeffff7ffffffffffbff77ffc007ffffffefffffff fcffffffffffffffbfffbfffffffffbfffffffffbffffffbffffdeffffff 7fefdefffffffffdfffeffffbfffffffdeffbffffffffffffcffffffffff fcfffffffffffffffcffbfffffffffffffdeffffbffffffffffbff77ffc0 07ff78ffeffffffff9ffffffffffffffbfffdfffffffffbfffffffffdfff fffbffffedffffff7fefedfffffffffdfffeffffdfffffffdeffdfffffff fffff9fffffffffff9fffffffffffffffcffdfffffffffffffdeffffdfff fffffffbff0fffc007fe777feffffffff9ffffffffffffff7fffdfffffff ff7fffffffffdffffff7ffffedffffff7ff7edfffffffffdffff7fffdfff ffffdf7fdffffffffffff9fffffffffff9fffffffffffffffd7fdfffffff ffffffdf7fffdffffffffffbff7fffc007ff7f7feffffffff3ffffffffff ffff7fffefffffffff7fffffffffeffffff7fffff3ffffff7ff7f3ffffff fffdffff7fffefffffffdf7feffffffffffff3fffffffffff3ffffffffff fffffd7fefffffffffffffdf7fffeffffffffffbff7fffc007ff7effe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbff7f ffc007ff7dffeffffffff7ffffffffffffff7fffffffffffff7fffffffff fffffff7ffffffffffff7ff7fffffffffffdffff7fffffffffffdf7fffff fffffffff7fffffffffff7fffffffffffffffd7fffffffffffffffdf7fff fffffffffffbffffffc007ff7bffeffffffff7ffffffffffffff7fffffff ffffff7ffffffffffffffff7ffffffffffff7ff7fffffffffffdffff7fff ffffffffdf7ffffffffffffff7fffffffffff7fffffffffffffffd7fffff ffffffffffdf7ffffffffffffffbffffffc007fe307fefffffffefffffff fffffffefffffffffffffeffffffffffffffffefffffffffffff7ffbffff fffffffdffffbfffffffffffdfbffffffffffffff3fffffffffff3ffffff fffffffffdbfffffffffffffffdfbffffffffffffffbffffffc007ffffff efffffffeffffffffffffffefffffffffffffeffffffffffffffffefffff ffffffff7ffbfffffffffffdffffbfffffffffffdfbffffffffffffff3ff fffffffff3fffffffffffffffdbfffffffffffffffdfbffffffffffffffb ffffffc007ffffffefffffffeffffffffffffffefffffffffffffeffffff ffffffffffefffffffffffff7ffbfffffffffffdffffbfffffffffffdfbf fffffffffffff3fffffffffffbfffffffffffffffebfffffffffffffffef bffffffffffffffbffffffc007ffffffefffffffeffffffffffffffeffff fffffffffeffffffffffffffffeffffffffffffefffbfffffffffffbffff bfffffffffffbfbfffffffffffffebfffffffffffbfffffffffffffffebf ffffffffffffffefbffffffffffffffbff0fffc007ffffffefffffffefff fffffffffffefffffffffffffeffffffffffffffffeffffffffffffefffb fffffffffffbffffbfffffffffffbfbfffffffffffffebfffffffffffbff fffffffffffffebfffffffffffffffefbffffffffffffffbff77ffc007ff ffffefffffffdffffffffffffffdfffffffffffffdffffffffffffffffdf fffffffffffefffdfffffffffffbffffdfffffffffffbfdfffffffffffff edfffffffffff9fffffffffffffffedfffffffffffffffefdfffffffffff fffbff77ffc007ffffffefffffffdffffffffffffffdfffffffffffffdff ffffffffffffffdffffffffffffefffdfffffffffffbffffdfffffffffff bfdfffffffffffffedfffffffffff9fffffffffffffffedfffffffffffff ffefdffffffffffffffbff0fffc007ffffffefffffffdffffffffffffffd fffffffffffffdffffffffffffffffdffffffffffffefffdfffffffffffb ffffdfffffffffffbfdfffffffffffffedfffffffffff9ffffffffffffff fedfffffffffffffffefdffffffffffffffbff5fffc007ffffffefffffff dffffffffffffffdfffffffffffffdffffffffffffffffdffffffffffffe fffdfffffffffffbffffdfffffffffffbfdfffffffffffffedffffffffff f9fffffffffffffffedfffffffffffffffefdffffffffffffffbff6fffc0 07ffffffefffffffdffffffffffffffdfffffffffffffdffffffffffffff ffdffffffffffffefffdfffffffffffbffffdfffffffffffbfdfffffffff ffffedfffffffffff9fffffffffffffffedfffffffffffffffefdfffffff fffffffbff77ffc007ffffffefffffffbffffffffffffffbffffffffffff fbffffffffffffffffbffffffffffffefffefffffffffffbffffefffffff ffffbfefffffffffffffeefffffffffffafffffffffffffffeefffffffff ffffffefeffffffffffffffbffffffc007ffffffefffffffbfffffffffff fffbfffffffffffffbffffffffffffffffbffffffffffffefffeffffffff fffbffffefffffffffffbfefffffffffffffeefffffffffffaffffffffff fffffeefffffffffffffffefeffffffffffffffbffffffc007ffffffefff ffffbffffffffffffffbfffffffffffffbffffffffffffffffbfffffffff fffefffefffffffffffbffffefffffffffffbfefffffffffffffeeffffff fffffcffffffffffffffff6ffffffffffffffff7effffffffffffffbffff ffc007ffffffefffffffbffffffffffffffbfffffffffffffbffffffffff ffffffbffffffffffffdfffefffffffffff7ffffefffffffffff7fefffff ffffffffdefffffffffffcffffffffffffffff6ffffffffffffffff7efff fffffffffffbffffffc007ff7dffefffffffbffffffffffffffbffffffff fffffbffffffffffffffffbffffffffffffdfffefffffffffff7ffffefff ffffffff7fefffffffffffffdefffffffffffcffffffffffffffff6fffff fffffffffff7effffffffffffffbffffffc007fe79ffefffffff7fffffff fffffff7fffffffffffff7ffffffffffffffff7ffffffffffffdffff7fff fffffff7fffff7ffffffffff7ff7ffffffffffffdf7ffffffffffd7fffff ffffffffff77fffffffffffffff7f7fffffffffffffbff8fffc007ff7dff efffffff7ffffffffffffff7fffffffffffff7ffffffffffffffff7fffff fffffffdffff7ffffffffff7fffff7ffffffffff7ff7ffffffffffffdf7f fffffffffd7fffffffffffffff77fffffffffffffff7f7fffffffffffffb ff77ffc007ff7dffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000007fbff77ffc007ff7dffefffffff7fffeffffffffff7f3ff fffffffff3ffffffffffffffff7feffffffffffdffff7fffeffffff7ffff f3ffffffffff7ff7fffff3ffffffdf7fffffffffed7fffffffffefffff77 fffff3fffffffff7f3fffffffffffffbff77ffc007ff7dffefffffff7fff dffffffffff7edfffffffffff1ffffffffffffffff7fdffffffffffdffff 7fffdffffff7fffff9ffffffffff7ff7ffffedffffffdf7fffffffffdd7f ffffffffdfffff77ffffedfffffffff7f9fffffffffffffbff77ffc007fe 38ffeffffffeffffdfffffffffefedfffffffffff1fffffffffffffffeff dffffffffffdffffbfffdffffff7fffff9ffffffffff7ffbffffedffffff dfbfffffffffddbfffffffffdfffff7bffffedfffffffff7f9ffffffffff fffbff77ffc007ffffffeffffffeffffbfffffffffefdefffffffffff4ff fffffffffffffeffbffffffffffdffffbfffbffffff7fffffcffffffffff 7ffbffffdeffffffdfbfffffffffbdbfffffffffbfffff7bffffdeffffff fff7fcfffffffffffffbff8fffc007ffffffeffffffeffff7fffffffffef df7ffffffffff57ffffffffffffffeff7ffffffffffdffffbfff7ffffff7 fffffd7fffffffff7ffbffffdf7fffffdfbfffffffff7ebfffffffff7fff ffbbffffdf7ffffffffbfd7ffffffffffffbffffffc007ffffffeffffffe fffeffffffffffefdfbfffffffffedbffffffffffffffefefffffffffffb ffffbffeffffffeffffffdbffffffffefffbffffdfbfffffbfbffffffffe febffffffffeffffffbbffffdfbffffffffbfdbffffffffffffbffffffc0 07ffffffeffffffefffdffffffffffefbfdfffffffffeedfffffffffffff fefdfffffffffffbffffbffdffffffeffffffedffffffffefffbffffbfdf ffffbfbffffffffdfebffffffffdffffffbbffffbfdffffffffbfedfffff fffffffbffffffc007ffffffeffffffdfffdffffffffffdfbfdfffffffff eedffffffffffffffdfdfffffffffffbffffdffdffffffeffffffedfffff fffefffdffffbfdfffffbfdffffffffdfedffffffffdffffffbdffffbfdf fffffffbfedffffffffffffbffffffc007ffffffeffffffdfffbffffffff ffdf7fefffffffffef6ffffffffffffffdfbfffffffffffbffffdffbffff ffefffffff6ffffffffefffdffff7fefffffbfdffffffffbfedffffffffb ffffffbdffff7feffffffffbff6ffffffffffffbffffffc007ffffffefff fffdfff7ffffffffffdf7ff7ffffffffef77fffffffffffffdf7ffffffff fffbffffdff7ffffffefffffff77fffffffefffdffff7ff7ffffbfdfffff fff7fedffffffff7ffffffbdffff7ff7fffffffbff77fffffffffffbff8f ffc007ffffffeffffffdffefffffffffffdf7ffbffffffffef7bffffffff fffffdeffffffffffffbffffdfefffffffefffffff7bfffffffefffdffff 7ffbffffbfdfffffffeffedfffffffefffffffbdffff7ffbfffffffbff7b fffffffffffbff77ffc007ffffffeffffffdffdfffffffffffdefffdffff ffffefbdfffffffffffffddffffffffffffbffffdfdfffffffefffffffbd fffffffefffdfffefffdffffbfdfffffffdffedfffffffdfffffffbdfffe fffdfffffffbffbdfffffffffffbff7fffc007ffffffeffffffbffdfffff ffffffbefffdffffffffefbdfffffffffffffbdffffffffffffbffffefdf ffffffefffffffbdfffffffefffefffefffdffffbfefffffffdffeefffff ffdfffffffbefffefffdfffffffbffbdfffffffffffbff7fffc007ffffff effffffbffbfffffffffffbdfffeffffffffefdefffffffffffffbbfffff fffffffbffffefbfffffffefffffffdefffffffefffefffdfffeffffbfef ffffffbffeefffffffbfffffffbefffdfffefffffffbffdefffffffffffb ff7fffc007ffffffeffffffbff7fffffffffffbdffff7fffffffefdf7fff fffffffffb7ffffffffffffbffffef7fffffffefffffffdf7ffffffefffe fffdffff7fffbfefffffff7fff6fffffff7fffffffdefffdffff7ffffffd ffdf7ffffffffffbff77ffc007ffffffeffffffbfeffffffffffffbdffff bfffffffdfdfbffffffffffffafffffffffffff7ffffeeffffffffdfffff ffdfbffffffdfffefffdffffbfff7feffffffeffff6ffffffeffffffffde fffdffffbffffffdffdfbffffffffffbff8fffc007ff78ffeffffffbfdff ffffffffffbbffffdfffffffdfefdffffffffffff9fffffffffffff7ffff edffffffffdfffffffefdffffffdfffefffbffffdfff7feffffffdffff6f fffffdffffffffdefffbffffdffffffdffefdffffffffffbffffffc007fe 777feffffff7fdffffffffffff7bffffdfffffffdfefdffffffffffff5ff fffffffffff7fffff5ffffffffdfffffffefdffffffdffff7ffbffffdfff 7ff7fffffdffff77fffffdffffffffdf7ffbffffdffffffdffefdfffffff fffbffffffc007ff767feffffff7fbffffffffffff77ffffefffffffdff7 effffffffffff3fffffffffffff7fffff3ffffffffdffffffff7effffffd ffff7ff7ffffefff7ff7fffffbffff77fffffbffffffffdf7ff7ffffefff fffdfff7effffffffffbffffffc007ff757fe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000007fbffffffc007ff737feffffff7 f7ffffffffffff77ffffffffffffdff7fffffffffffff7fffffffffffff7 fffff7ffffffffdffffffff7fffffffdffff7ff7ffffffff7ff7fffff7ff ff77fffff7ffffffffdf7ff7fffffffffffdfff7fffffffffffbffffffc0 07ff777feffffff7efffffffffffff6fffffffffffffdffbffffffffffff f3fffffffffffff7fffffbffffffffdffffffffbfffffffdffff7fefffff ffff7ff7ffffefffff77ffffefffffffffdf7feffffffffffffdfffbffff fffffffbff07ffc007fe38ffefffffefeffffffffffffeefffffffffffff dffbfffffffffffff3fffffffffffff7fffffbffffffffdffffffffbffff fffdffffbfefffffffff7ffbffffefffff7bffffefffffffffdfbfefffff fffffffdfffbfffffffffffbff7fffc007ffffffefffffefdfffffffffff fedfffffffffffffdffdfffffffffffff5fffffffffffff7fffffdffffff ffdffffffffdfffffffdffffbfdfffffffff7ffbffffdfffff7bffffdfff ffffffdfbfdffffffffffffdfffdfffffffffffbff7fffc007ffffffefff ffefdffffffffffffedfffffffffffffdffdfffffffffffff5ffffffffff fff7fffffdffffffffdffffffffdfffffffdffffbfdfffffffff7ffbffff dfffffbbffffdfffffffffefbfdffffffffffffefffdfffffffffffbff0f ffc007ffffffefffffefdffffffffffffedfffffffffffffbffdffffffff ffffedffffffffffffeffffffdffffffffbffffffffdfffffffbffffbfdf fffffffefffbffffdfffffbbffffdfffffffffefbfdffffffffffffefffd fffffffffffbff7fffc007ffffffefffffefbffffffffffffebfffffffff ffffbffeffffffffffffeeffffffffffffeffffffeffffffffbffffffffe fffffffbffffbfbffffffffefffbffffbfffffbbffffbfffffffffefbfbf fffffffffffefffefffffffffffbff7fffc007ffffffefffffdfbfffffff fffffdbfffffffffffffbffeffffffffffffeeffffffffffffeffffffeff ffffffbffffffffefffffffbffffdfbffffffffefffdffffbfffffbdffff bfffffffffefdfbffffffffffffefffefffffffffffbff07ffc007ffffff efffffdf7ffffffffffffd7fffffffffffffbfff7fffffffffffef7fffff ffffffefffffff7fffffffbfffffffff7ffffffbffffdf7ffffffffefffd ffff7fffffbdffff7fffffffffefdf7ffffffffffffeffff7ffffffffffb ffffffc007ffffffefffffdf7ffffffffffffd7fffffffffffffbfff7fff ffffffffef7fffffffffffefffffff7fffffffbfffffffff7ffffffbffff df7ffffffffefffdffff7fffffbdffff7fffffffffefdf7ffffffffffffe ffff7ffffffffffbffffffc007ffffffefffffdf7ffffffffffffd7fffff ffffffffbfff7fffffffffffef7fffffffffffefffffff7fffffffbfffff ffff7ffffffbffffdf7ffffffffefffdffff7fffffbdffff7fffffffffef df7ffffffffffffeffff7ffffffffffbffffffc007ffffffefffffdeffff fffffffffcffffffffffffffbfffbfffffffffffefbfffffffffffefffff ffbfffffffbfffffffffbffffffbffffdefffffffffefffdfffeffffffbd fffeffffffffffefdefffffffffffffeffffbffffffffffbffffffc007ff ffffefffffbefffffffffffffaffffffffffffffbfffbfffffffffffefbf ffffffffffefffffffbfffffffbfffffffffbffffffbffffeefffffffffe fffefffeffffffbefffeffffffffffefeefffffffffffffeffffbfffffff fffbffffffc007ffffffefffffbdfffffffffffff9ffffffffffffffbfff dfffffffffffefdfffffffffffefffffffdfffffffbfffffffffdffffffb ffffedfffffffffefffefffdffffffbefffdffffffffffefedffffffffff fffeffffdffffffffffbff8fffc007ffffffefffffbdfffffffffffff9ff ffffffffffffbfffdfffffffffffefdfffffffffffefffffffdfffffffbf ffffffffdffffffbffffedfffffffffefffefffdffffffdefffdffffffff fff7edffffffffffffff7fffdffffffffffbff77ffc007ffffffefffffbd fffffffffffff9ffffffffffffff7fffdfffffffffffdfdfffffffffffdf ffffffdfffffff7fffffffffdffffff7ffffedfffffffffdfffefffdffff ffdefffdfffffffffff7edffffffffffffff7fffdffffffffffbff7fffc0 07ffc7ffefffffbbfffffffffffffbffffffffffffff7fffefffffffffff dfefffffffffffdfffffffefffffff7fffffffffeffffff7ffffebffffff fffdfffefffbffffffdefffbfffffffffff7ebffffffffffffff7fffefff fffffffbff8fffc007ffbbffefffff7bfffffffffffff3ffffffffffffff 7fffefffffffffffdfefffffffffffdfffffffefffffff7fffffffffefff fff7fffff3fffffffffdffff7ffbffffffdf7ffbfffffffffff7f3ffffff ffffffff7fffeffffffffffbfff7ffc007ffbbffefffff77ffffffffffff f7ffffffffffffff7ffff7ffffffffffdff7ffffffffffdffffffff7ffff ff7ffffffffff7fffff7fffff7fffffffffdffff7ff7ffffffdf7ff7ffff fffffff7f7ffffffffffffff7ffff7fffffffffbff77ffc007ffc3ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbff8f ffc007fffbffefffff77effffffffffff3ffffffffffffff7ffffbffffff ffffdff7ffffefffffdffffffff7ffffef7ffffffffffbfffff7fffffbff fffffffdffff7ff7efffffdf7ff7effffffffff7fbffffffffffffff7fff fbfffffffffbffffffc007fff7ffefffff6fdffffffffffff5ffffffffff ffff7ffffdffffffffffdffbffffdfffffdffffffffbffffdf7fffffffff fdfffff7fffffdfffffffffdffff7fefdfffffdf7fefdffffffffff7fdff ffffffffffff7ffffdfffffffffbffffffc007ffcfffeffffeefdfffffff fffff5ffffffffffffff7ffffdffffffffffdffbffffdfffffdffffffffb ffffdf7ffffffffffdfffff7fffffdfffffffffdffffbfefdfffffdfbfef dffffffffff7fdffffffffffffff7ffffdfffffffffbffffffc007ffffff effffedfbffffffffffff6ffffffffffffff7ffffeffffffffffdffdffff bfffffdffffffffdffffbf7ffffffffffefffff7fffffefffffffffdffff bfdfbfffffdfbfdfbffffffffff7feffffffffffffff7ffffefffffffffb ffffffc007ffffffeffffedf7ffffffffffff77fffffffffffff7fffff7f ffffffffdffdffff7fffffdffffffffdffff7f7fffffffffff7ffff7ffff ff7ffffffffdffffbfdf7fffffefbfdf7ffffffffffbff7fffffffffffff bfffff7ffffffffbffffffc007ffffffeffffedeffffffffffffefbfffff fffffffeffffffbfffffffffbffdfffeffffffbffffffffdfffefeffffff ffffffbfffefffffffbffffffffbffffbfdeffffffefbfdefffffffffffb ffbfffffffffffffbfffffbffffffffbff8fffc007ffffffeffffebdffff ffffffffefdffffffffffffeffffffdfffffffffbffefffdffffffbfffff fffefffdfeffffffffffffdfffefffffffdffffffffbffffbfbdffffffef bfbdfffffffffffbffdfffffffffffffbfffffdffffffffbff77ffc007ff ffffeffffdbdffffffffffffefdffffffffffffeffffffdfffffffffbffe fffdffffffbffffffffefffdfeffffffffffffdfffefffffffdffffffffb ffffdfbdffffffefdfbdfffffffffffbffdfffffffffffffbfffffdfffff fffbff7fffc007ffffffeffffd7bffffffffffffefeffffffffffffeffff ffefffffffffbfff7ffbffffffbfffffffff7ffbfeffffffffffffefffef ffffffeffffffffbffffdf7bffffffefdf7bfffffffffffbffefffffffff ffffbfffffeffffffffbff8fffc007ffffffeffffd77ffffffffffffeff7 fffffffffffefffffff7ffffffffbfff7ff7ffffffbfffffffff7ff7feff fffffffffff7ffeffffffff7fffffffbffffdf77ffffffefdf77ffffffff fffbfff7ffffffffffffbffffff7fffffffbfff7ffc007ffffffeffffd6f ffffffffffffeffbfffffffffffefffffffbffffffffbfff7fefffffffbf ffffffff7feffefffffffffffffbffeffffffffbfffffffbffffdf6fffff ffefdf6ffffffffffffbfffbffffffffffffbffffffbfffffffbff77ffc0 07ffffffeffffcdfffffffffffffeffdfffffffffffefffffffdffffffff bfffbfdfffffffbfffffffffbfdffefffffffffffffdffeffffffffdffff fffbffffdedfffffffefdedffffffffffffbfffdffffffffffffbffffffd fffffffbff8fffc007ffffffeffffadfffffffffffffeffdfffffffffffe fffffffdffffffffbfffbfdfffffffbfffffffffbfdffefffffffffffffd ffeffffffffdfffffffbffffeedfffffffefeedffffffffffffbfffdffff ffffffffbffffffdfffffffbffffffc007ffffffeffff9bfffffffffffff effefffffffffffefffffffeffffffffbfffdfbfffffffbfffffffffdfbf fefffffffffffffeffeffffffffefffffffbffffedbfffffffefedbfffff fffffffbfffeffffffffffffbffffffefffffffbffffffc007ffffffefff f97fffffffffffffefff7ffffffffffeffffffff7fffffffbfffdf7fffff ffbfffffffffdf7ffeffffffffffffff7fefffffffff7ffffffbffffed7f fffffff7ed7ffffffffffffdffff7fffffffffffdfffffff7ffffffbffff ffc007ffffffeffff8ffffffffffffffdfffbffffffffffdffffffffbfff ffff7fffdeffffffff7fffffffffdefffdffffffffffffffbfdfffffffff bffffff7ffffecfffffffff7ecfffffffffffffdffffbfffffffffffdfff ffffbffffffbffffffc007ffc7ffeffff9ffffffffffffffdfffdfffffff fffdffffffffdfffffff7fffedffffffff7fffffffffedfffdffffffffff ffffdfdfffffffffdffffff7ffffe9fffffffff7e9fffffffffffffdffff dfffffffffffdfffffffdffffffbffffffc007ffbbffeffff1ffffffffff ffffdfffdffffffffffdffffffffdfffffff7fffedffffffff7fffffffff edfffdffffffffffffffdfdfffffffffdffffff7fffff1fffffffff7f1ff fffffffffffdffffdfffffffffffdfffffffdffffffbff8fffc007ffbbff effff3ffffffffffffffdfffeffffffffffdffffffffefffffff7ffff3ff ffffff7ffffffffff3fffdffffffffffffffefdfffffffffeffffff7ffff f3fffffffff7f3fffffffffffffdffffefffffffffffdfffffffeffffffb ff77ffc007ffc7ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000007fbff77ffc007ffbbffeffff7ffffffffffffffdfffffff fffffffdffffffffffffffff7fffffffffffff7ffffffffffffffdffffff ffffffffffdffffffffffffffff7fffffffffffffff7fffffffffffffffd ffffffffffffffffdffffffffffffffbff77ffc007ffbbffeffff7ffffff ffffffffdffffffffffffffdffffffffffffffff7fffffffffffff7fffff fffffffffdffffffffffffffffdffffffffffffffff7fffffffffffffff7 fffffffffffffffdffffffffffffffffdffffffffffffffbff77ffc007ff c7ffeffff7ffffffffffffffdffffffffffffffdffffffffffffffff7fff ffffffffff7ffffffffffffffdffffffffffffffffdffffffffffffffff7 fffffffffffffff7fffffffffffffffdffffffffffffffffdfffffffffff fffbff77ffc007ffffffeffff7ffffffffffffffdffffffffffffffdffff ffffffffffff7fffffffffffff7ffffffffffffffdffffffffffffffffdf fffffffffffffff7fffffffffffffff7fffffffffffffffdffffffffffff ffffdffffffffffffffbff8fffc007ffffffeffff7ffffffffffffffdfff fffffffffffdffffffffffffffff7fffffffffffff7ffffffffffffffdff ffffffffffffffdffffffffffffffff7fffffffffffffffbffffffffffff fffeffffffffffffffffeffffffffffffffbffffffc007ffffffefffefff ffffffffffffbffffffffffffffbfffffffffffffffefffffffffffffeff fffffffffffffbffffffffffffffffbfffffffffffffffefffffffffffff fffbfffffffffffffffeffffffffffffffffeffffffffffffffbffffffc0 07ffffffefffefffffffffffffffbffffffffffffffbfffffffffffffffe fffffffffffffefffffffffffffffbffffffffffffffffbfffffffffffff ffeffffffffffffffffbfffffffffffffffeffffffffffffffffefffffff fffffffbffffffc007ffffffefffefffffffffffffffbffffffffffffffb fffffffffffffffefffffffffffffefffffffffffffffbffffffffffffff ffbfffffffffffffffeffffffffffffffffbfffffffffffffffeffffffff ffffffffeffffffffffffffbffffffc007ffffffefffefffffffffffffff bffffffffffffffbfffffffffffffffefffffffffffffeffffffffffffff fbffffffffffffffffbfffffffffffffffeffffffffffffffffbffffffff fffffffeffffffffffffffffeffffffffffffffbffffffc007ffffffefff efffffffffffffffbffffffffffffffbfffffffffffffffeffffffffffff fefffffffffffffffbffffffffffffffffbfffffffffffffffefffffffff fffffffbfffffffffffffffeffffffffffffffffeffffffffffffffbff0f ffc007ffffffefffefffffffffffffffbffffffffffffffbffffffffffff fffefffffffffffffefffffffffffffffbffffffffffffffffbfffffffff ffffffeffffffffffffffffbfffffffffffffffeffffffffffffffffefff fffffffffffbff77ffc007ffffffefffefffffffffffffffbfffffffffff fffbfffffffffffffffefffffffffffffefffffffffffffffbffffffffff ffffffbfffffffffffffffeffffffffffffffffbfffffffffffffffeffff ffffffffffffeffffffffffffffbff77ffc007ffffffefffefffffffffff ffffbffffffffffffffbfffffffffffffffefffffffffffffeffffffffff fffffbffffffffffffffffbfffffffffffffffeffffffffffffffffbffff fffffffffffeffffffffffffffffeffffffffffffffbff0fffc007ffffff efffefffffffffffffffbffffffffffffffbfffffffffffffffeffffffff fffffefffffffffffffffbffffffffffffffffbfffffffffffffffefffff fffffffffffbfffffffffffffffeffffffffffffffffeffffffffffffffb ff5fffc007ffffffefffefffffffffffffffbffffffffffffffbffffffff fffffffefffffffffffffefffffffffffffffbffffffffffffffffbfffff ffffffffffeffffffffffffffffdffffffffffffffff7fffffffffffffff f7fffffffffffffbff6fffc007ffffffefffdfffffffffffffff7fffffff fffffff7fffffffffffffffdfffffffffffffdfffffffffffffff7ffffff ffffffffff7fffffffffffffffdffffffffffffffffdffffffffffffffff 7ffffffffffffffff7fffffffffffffbff77ffc007ff83ffefffdfffffff ffffffff7ffffffffffffff7fffffffffffffffdfffffffffffffdffffff fffffffff7ffffffffffffffff7fffffffffffffffdffffffffffffffffd ffffffffffffffff7ffffffffffffffff7fffffffffffffbffffffc007ff fbffefffdfffffffffffffff7ffffffffffffff7fffffffffffffffdffff fffffffffdfffffffffffffff7ffffffffffffffff7fffffffffffffffdf fffffffffffffffdffffffffffffffff7ffffffffffffffff7ffffffffff fffbffffffc007fff7ffefffdfffffffffffffff7ffffffffffffff7ffff fffffffffffdfffffffffffffdfffffffffffffff7ffffffffffffffff7f ffffffffffffffdffffffffffffffffdffffffffffffffff7fffffffffff fffff7fffffffffffffbffffffc007fff7ffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000007fbffffffc007ffefffefffdfff ffffefffffff7ffff3fffffffff7f3fffffffffffffdffffeffffffffdff effffffffffff3ffffffffffffffff7ff3ffffffffffffdfffffefffffff fffdffffffffefffffff7ffff3fffffffffff3fffffffffffffbffffffc0 07ffefffefffdfffffffdfffffff7fffedfffffffff7f1fffffffffffffd ffffdffffffffdffdffffffffffff1ffffffffffffffff7fedffffffffff ffdfffffdffffffffffdffffffffdfffffff7fffedfffffffffff1ffffff fffffffbffffffc007ffefffefffdfffffffdfffffff7fffedfffffffff7 e9fffffffffffffdffffdffffffffdffdffffffffffff9ffffffffffffff ff7fedffffffffffffdfffffdffffffffffdffffffffdfffffff7fffedff fffffffff9fffffffffffffbffffffc007ffffffefffdfffffffbfffffff 7fffdefffffffff7ecfffffffffffffdffffbffffffffdffbfffffffffff f8ffffffffffffffff7fdeffffffffffffdfffffbffffffffffdffffffff bfffffff7fffdefffffffffff8fffffffffffffbffffffc007ffffffefff dfffffff7fffffff7fffdf7ffffffff7ed7ffffffffffffdffff7fffffff fdff7ffffffffffff97fffffffffffffff7fdf7fffffffffffdfffff7fff fffffffeffffffff7fffffffbfffdf7ffffffffff97ffffffffffffbffff ffc007ffffffefffbffffffefffffffeffffdfbfffffffefedbfffffffff fffbfffefffffffffbfefffffffffffff9bffffffffffffffeffdfbfffff ffffffbffffefffffffffffefffffffeffffffffbfffdfbffffffffff9bf fffffffffffbffffffc007ffffffefffbffffffdfffffffeffffbfdfffff ffefeedffffffffffffbfffdfffffffffbfdfffffffffffffadfffffffff fffffeffbfdfffffffffffbffffdfffffffffffefffffffdffffffffbfff bfdffffffffffadffffffffffffbffffffc007ffffffefffbffffffdffff fffeffffbfdfffffffefdedffffffffffffbfffdfffffffffbfdffffffff fffffcdffffffffffffffeffbfdfffffffffffbffffdfffffffffffeffff fffdffffffffbfffbfdffffffffffcdffffffffffffbffffffc007ffffff efffbffffffbfffffffeffff7fefffffffefdf6ffffffffffffbfffbffff fffffbfbfffffffffffffd6ffffffffffffffeff7fefffffffffffbffffb fffffffffffefffffffbffffffffbfff7feffffffffffd6ffffffffffffb ffffffc007ffffffefffbffffff7fffffffeffff7ff7ffffffefdf77ffff fffffffbfff7fffffffffbf7fffffffffffffd77fffffffffffffeff7ff7 ffffffffffbffff7fffffffffffefffffff7ffffffffbfff7ff7ffffffff fd77fffffffffffbffffffc007ffffffefffbfffffeffffffffeffff7ffb ffffffefdf7bfffffffffffbffeffffffffffbeffffffffffffffd7bffff fffffffffeff7ffbffffffffffbfffeffffffffffffeffffffefffffffff bfff7ffbfffffffffd7bfffffffffffbffffffc007ffffffefffbfffffdf fffffffefffefffdffffffefdfbdfffffffffffbffdffffffffffbdfffff fffffffffdbdfffffffffffffefefffdffffffffffbfffdffffffffffffe ffffffdfffffffffbffefffdfffffffffdbdfffffffffffbffffffc007ff ffffefffbfffffdffffffffefffefffdffffffefbfbdfffffffffffbffdf fffffffffbdffffffffffffffebdfffffffffffffefefffdffffffffffbf ffdffffffffffffeffffffdfffffffffbffefffdfffffffffebdffffffff fffbffffffc007ffffffefffbfffffbffffffffefffdfffeffffffefbfde fffffffffffbffbffffffffffbbffffffffffffffedefffffffffffffefd fffeffffffffffbfffbffffffffffffeffffffbfffffffffbffdfffeffff fffffedefffffffffffbff77ffc007ffffffefffbfffff7ffffffffefffd ffff7fffffefbfdf7ffffffffffbff7ffffffffffb7ffffffffffffffedf 7ffffffffffffefdffff7fffffffffbfff7fffffffffffff7fffff7fffff ffffdffdffff7ffffffffedf7ffffffffffbff77ffc007ffffffefff7fff fefffffffffdfffdffffbfffffdfbfdfbffffffffff7fefffffffffff6ff fffffffffffffedfbffffffffffffdfdffffbfffffffff7ffeffffffffff ffff7ffffeffffffffffdffdffffbffffffffedfbffffffffffbff37ffc0 07ffe7ffefff7ffffdfffffffffdfffbffffdfffffdfbfefdffffffffff7 fdfffffffffff5fffffffffffffffeefdffffffffffffdfbffffdfffffff ff7ffdffffffffffffff7ffffdffffffffffdffbffffdffffffffeefdfff fffffffbff57ffc007ffdfffefff7ffffdfffffffffdfffbffffdfffffdf 7fefdffffffffff7fdfffffffffff5ffffffffffffffff6fdfffffffffff fdfbffffdfffffffff7ffdffffffffffffff7ffffdffffffffffdffbffff dfffffffff6fdffffffffffbff67ffc007ffbfffefff7ffffbfffffffffd fff7ffffefffffdf7ff7effffffffff7fbfffffffffff3ffffffffffffff ff77effffffffffffdf7ffffefffffffff7ffbffffffffffffff7ffffbff ffffffffdff7ffffefffffffff77effffffffffbff77ffc007ff87ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbff77 ffc007ffbbffefff7ffff7fffffffffdfff7ffffffffffdf7ff7ffffffff fff7f7fffffffffff7ffffffffffffffff77fffffffffffffdf7ffffffff ffffff7ff7ffffffffffffff7ffff7ffffffffffdff7ffffffffffffff77 fffffffffffbffffffc007ffbbffefff7fffeffffffffffdffefffffffff ffdf7ffbfffffffffff7f3fffffffffff3ffffffffffffffff7bffffffff fffffdefffffffffffffff7fefffffffffffffff7fffefffffffffffdfef ffffffffffffff7bfffffffffffbffffffc007ffc7ffefff7fffefffffff fffdffefffffffffffdefffbfffffffffff7ebfffffffffffbffffffffff ffffffbbfffffffffffffdefffffffffffffff7fefffffffffffffff7fff efffffffffffdfefffffffffffffffbbfffffffffffbffffffc007ffffff efff7fffdffffffffffdffdfffffffffffdefffdfffffffffff7edffffff fffff9ffffffffffffffffbdfffffffffffffddfffffffffffffff7fdfff ffffffffffff7fffdfffffffffffdfdfffffffffffffffbdfffffffffffb ffffffc007ffffffefff7fffdffffffffffdffdfffffffffffdefffdffff fffffff7edfffffffffff9ffffffffffffffffbdfffffffffffffddfffff ffffffffff7fdfffffffffffffffbfffdfffffffffffefdfffffffffffff ffbdfffffffffffbffffffc007ffffffeffeffffdffffffffffbffdfffff ffffffbefffdffffffffffefedfffffffffff9ffffffffffffffffbdffff fffffffffbdffffffffffffffeffdfffffffffffffffbfffdfffffffffff efdfffffffffffffffbdfffffffffffbff77ffc007ffffffeffeffffbfff fffffffbffbfffffffffffbefffeffffffffffefeefffffffffffaffffff ffffffffffbefffffffffffffbbffffffffffffffeffbfffffffffffffff bfffbfffffffffffefbfffffffffffffffbefffffffffffbff77ffc007ff ffffeffeffffbffffffffffbffbfffffffffffbdfffeffffffffffefdeff fffffffffcffffffffffffffffdefffffffffffffbbffffffffffffffeff bfffffffffffffffbfffbfffffffffffefbfffffffffffffffdeffffffff fffbff77ffc007ffffffeffeffff7ffffffffffbff7fffffffffffbdffff 7fffffffffefdf7ffffffffffd7fffffffffffffffdf7ffffffffffffb7f fffffffffffffeff7fffffffffffffffbfff7fffffffffffef7fffffffff ffffffdf7ffffffffffbff77ffc007ffffffeffeffff7ffffffffffbff7f ffffffffffbdffff7fffffffffefdf7ffffffffffd7fffffffffffffffdf 7ffffffffffffb7ffffffffffffffeff7fffffffffffffffbfff7fffffff ffffef7fffffffffffffffdf7ffffffffffbff77ffc007ffffffeffeffff 7ffffffffffbff7fffffffffffbdffff7fffffffffefdf7ffffffffffd7f ffffffffffffffdf7ffffffffffffb7ffffffffffffffeff7fffffffffff ffffbfff7fffffffffffef7fffffffffffffffdf7ffffffffffbff77ffc0 07ffffffeffefffefffffffffffbfeffffffffffffbdffffbfffffffffef dfbffffffffffdbfffffffffffffffdfbffffffffffffaffffffffffffff fefeffffffffffffffffbffeffffffffffffeeffffffffffffffffdfbfff fffffffbff8fffc007ffffffeffefffefffffffffffbfeffffffffffffbb ffffbfffffffffefbfbffffffffffebfffffffffffffffefbfffffffffff fafffffffffffffffefeffffffffffffffffbffeffffffffffffeeffffff ffffffffffefbffffffffffbffffffc007ffffffeffefffdfffffffffffb fdffffffffffffbbffffdfffffffffefbfdffffffffffedfffffffffffff ffefdffffffffffff9fffffffffffffffefdffffffffffffffffbffdffff ffffffffedffffffffffffffffefdffffffffffbffffffc007ffffffeffe fffdfffffffffffbfdffffffffffffbbffffdfffffffffefbfdfffffffff fedfffffffffffffffefdffffffffffff9fffffffffffffffefdffffffff ffffffffdffdfffffffffffff5ffffffffffffffffefdffffffffffbffff ffc007ffffffeffdfffdfffffffffff7fdffffffffffff7bffffdfffffff ffdfbfdffffffffffedfffffffffffffffefdffffffffffff5ffffffffff fffffdfdffffffffffffffffdffdfffffffffffff5ffffffffffffffffef dffffffffffbffffffc007ff83ffeffdfffbfffffffffff7fbffffffffff ff7bffffefffffffffdfbfeffffffffffeefffffffffffffffefefffffff fffff3fffffffffffffffdfbffffffffffffffffdffbfffffffffffff3ff ffffffffffffffefeffffffffffbffffffc007ffbfffeffdfffbffffffff fff7fbffffffffffff77ffffefffffffffdf7fefffffffffff6fffffffff fffffff7effffffffffff3fffffffffffffffdfbffffffffffffffffdffb fffffffffffff3fffffffffffffffff7effffffffffbff77ffc007ff87ff effdfff7fffffffffff7f7ffffffffffff77fffff7ffffffffdf7ff7ffff ffffff77fffffffffffffff7f7fffffffffff7fffffffffffffffdf7ffff ffffffffffffdff7fffffffffffff7fffffffffffffffff7f7fffffffffb ff27ffc007fffbffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000007fbff57ffc007fffbffeffdfff7effffffffff7f3ffffff ffffff77fffffbffffffffdf7ff7ffffefffff77ffffeffffffffff7fbff fffffffff3fffffffffffffffdf7efffffffffffffffdff7efffffffffff f3fffffffffffffffff7fbfffffffffbff77ffc007ffbbffeffdffefdfff fffffff7f5ffffffffffff77fffffdffffffffdf7ffbffffdfffff7bffff dffffffffff7fdfffffffffff5fffffffffffffffdefdfffffffffffffff dfefdffffffffffff5fffffffffffffffff7fdfffffffffbff77ffc007ff c7ffeffdffefdffffffffff7edffffffffffff6ffffffdffffffffdefffb ffffdfffffbbffffdffffffffffbfdfffffffffff9fffffffffffffffdef dfffffffffffffffdfefdffffffffffff9fffffffffffffffffbfdffffff fffbff77ffc007ffffffeffdffdfbffffffffff7eeffffffffffff6fffff feffffffffdefffdffffbfffffbdffffbffffffffffbfefffffffffffaff fffffffffffffddfbfffffffffffffffdfdfbffffffffffffaffffffffff fffffffbfefffffffffbff77ffc007ffffffeffdffdf7ffffffffff7ef7f ffffffffff6fffffff7fffffffdefffdffff7fffffbdffff7ffffffffffb ff7ffffffffffb7ffffffffffffffddf7fffffffffffffffefdf7fffffff fffffb7ffffffffffffffffbff7ffffffffbffffffc007ffffffeffbffde ffffffffffefefbffffffffffeefffffffbfffffffbefffdfffeffffffbd fffefffffffffffbffbffffffffffbbffffffffffffffbdeffffffffffff ffffefdefffffffffffffbbffffffffffffffffbffbffffffffbffffffc0 07ffffffeffbffbdffffffffffefefdffffffffffeefffffffdfffffffbe fffefffdffffffbefffdfffffffffffbffdffffffffffbdfffffffffffff fbbdffffffffffffffffefbdfffffffffffffbdffffffffffffffffbffdf fffffffbffffffc007ffffffeffbffbdffffffffffefdfdffffffffffedf ffffffdfffffffbdfffefffdffffffdefffdfffffffffffdffdfffffffff fddffffffffffffffbbdffffffffffffffffefbdfffffffffffffddfffff fffffffffffdffdffffffffbffffffc007ffffffeffbff7bffffffffffef dfeffffffffffedfffffffefffffffbdffff7ffbffffffdf7ffbffffffff fffdffeffffffffffdeffffffffffffffb7bffffffffffffffffef7bffff fffffffffdeffffffffffffffffdffeffffffffbffffffc007ffffffeffb ff77ffffffffffefdff7fffffffffedffffffff7ffffffbdffff7ff7ffff ffdf7ff7fffffffffffdfff7fffffffffdf7fffffffffffffb77ffffffff ffffffffef77fffffffffffffdf7fffffffffffffffdfff7fffffffbff0f ffc007ffffffeffbff6fffffffffffefdffbfffffffffedffffffffbffff ffbdffff7fefffffffdf7feffffffffffffdfffbfffffffffdfbffffffff fffffb6fffffffffffffffffef6ffffffffffffffdfbfffffffffffffffd fffbfffffffbff77ffc007ffffffeffbfedfffffffffffefdffdffffffff fedffffffffdffffffbdffffbfdfffffffdfbfdffffffffffffdfffdffff fffffdfdfffffffffffffadfffffffffffffffffeedffffffffffffffdfd fffffffffffffffdfffdfffffffbff77ffc007ffffffeffbfedfffffffff ffefbffdfffffffffebffffffffdffffffbbffffbfdfffffffefbfdfffff fffffffefffdfffffffffefdfffffffffffffadfffffffffffffffffeedf fffffffffffffefdfffffffffffffffefffdfffffffbff0fffc007ffffff effbfdbfffffffffffefbffefffffffffebffffffffeffffffbbffffdfbf ffffffefdfbffffffffffffefffefffffffffefefffffffffffff9bfffff ffffffffffffedbffffffffffffffefefffffffffffffffefffefffffffb ff77ffc007ffffffeffbfd7fffffffffffefbfff7ffffffffebfffffffff 7fffffbbffffdf7fffffffefdf7ffffffffffffeffff7ffffffffeff7fff fffffffff97ffffffffffffffffff57ffffffffffffffeff7fffffffffff fffeffff7ffffffbff77ffc007ffffffeff7fcffffffffffffdfbfffbfff fffffdbfffffffffbfffff7bffffdeffffffffefdefffffffffffffeffff bffffffffeffbffffffffffff4fffffffffffffffffff4ffffffffffffff feffbffffffffffffffeffffbffffffbff0fffc007fff7ffeff7f9ffffff ffffffdfbfffdffffffffdbfffffffffdfffff7bffffedffffffffefedff fffffffffffeffffdffffffffeffdffffffffffff1ffffffffffffffffff f1fffffffffffffffeffdffffffffffffffeffffdffffffbffffffc007ff e7ffeff7f9ffffffffffffdf7fffdffffffffd7fffffffffdfffff77ffff edfffffffff7edffffffffffffff7fffdfffffffff7fdffffffffffff1ff fffffffffffffffff1ffffffffffffffff7fdfffffffffffffff7fffdfff fffbffffffc007ffd7ffeff7f3ffffffffffffdf7fffeffffffffd7fffff ffffefffff77fffff3fffffffff7f3ffffffffffffff7fffefffffffff7f effffffffffff3fffffffffffffffffff3ffffffffffffffff7fefffffff ffffffff7fffeffffffbffffffc007ffb7ffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000007fbffffffc007ff83ffeff7f7ff ffffffffffdf7ffffffffffffd7fffffffffffffff77fffffffffffffff7 ffffffffffffffff7fffffffffffff7ffffffffffffff7ffffffffffffff fffff7ffffffffffffffff7fffffffffffffffff7ffffffffffbffffffc0 07fff7ffeff7f7ffffffffffffdf7ffffffffffffd7fffffffffffffff77 fffffffffffffff7ffffffffffffffff7fffffffffffff7fffffffffffff f7fffffffffffffffffff7ffffffffffffffff7fffffffffffffffff7fff fffffffbff07ffc007fff7ffeff7efffffffffffffdefffffffffffffcff ffffffffffffff6ffffffffffffffffbffffffffffffffffbfffffffffff ffbffffffffffffffbfffffffffffffffffffbffffffffffffffffbfffff ffffffffffffbffffffffffbff7fffc007ffffffeff7efffffffffffffde fffffffffffffcffffffffffffffff6ffffffffffffffffbffffffffffff ffffbfffffffffffffbffffffffffffffbfffffffffffffffffffbffffff ffffffffffbfffffffffffffffffbffffffffffbff7fffc007ffffffeff7 efffffffffffffdefffffffffffffcffffffffffffffff6fffffffffffff fffbffffffffffffffffbfffffffffffffbffffffffffffffbffffffffff fffffffffbffffffffffffffffbfffffffffffffffffbffffffffffbff0f ffc007ffffffefefefffffffffffffbefffffffffffffaffffffffffffff feeffffffffffffffffbffffffffffffffffbfffffffffffffbfffffffff fffffbfffffffffffffffffffbffffffffffffffffbfffffffffffffffff bffffffffffbff7fffc007ffffffefefefffffffffffffbeffffffffffff fafffffffffffffffeeffffffffffffffffbffffffffffffffffbfffffff ffffffbffffffffffffffbfffffffffffffffffffbffffffffffffffffbf ffffffffffffffffbffffffffffbff7fffc007ffffffefefdfffffffffff ffbdfffffffffffff9fffffffffffffffedffffffffffffffffdffffffff ffffffffdfffffffffffffdffffffffffffffdfffffffffffffffffffdff ffffffffffffffdfffffffffffffffffdffffffffffbff07ffc007ffffff efefdfffffffffffffbdfffffffffffff9fffffffffffffffedfffffffff fffffffdffffffffffffffffdfffffffffffffdffffffffffffffdffffff fffffffffffffdffffffffffffffffdfffffffffffffffffdffffffffffb ffffffc007ffffffefefdfffffffffffffbdfffffffffffff9ffffffffff fffffedffffffffffffffffdffffffffffffffffdfffffffffffffdfffff fffffffffdfffffffffffffffffffdffffffffffffffffdfffffffffffff ffffdffffffffffbffffffc007ffffffefefdfffffffffffffbdffffffff fffff9fffffffffffffffedffffffffffffffffdffffffffffffffffdfff ffffffffffdffffffffffffffdfffffffffffffffffffdffffffffffffff ffdfffffffffffffffffdffffffffffbffffffc007ffffffefefdfffffff ffffffbdfffffffffffff9fffffffffffffffedffffffffffffffffdffff ffffffffffffdfffffffffffffdffffffffffffffdffffffffffffffffff fdffffffffffffffffdfffffffffffffffffdffffffffffbffffffc007ff ffffefefbfffffffffffffbbfffffffffffffbfffffffffffffffebfffff fffffffffffeffffffffffffffffefffffffffffffeffffffffffffffeff fffffffffffffffffeffffffffffffffffefffffffffffffffffefffffff fffbffffffc007ffffffefefbfffffffffffffbbfffffffffffffbffffff fffffffffebffffffffffffffffeffffffffffffffffefffffffffffffef fffffffffffffefffffffffffffffffffeffffffffffffffffefffffffff ffffffffeffffffffffbff0fffc007ffffffefefbfffffffffffffbbffff fffffffffbfffffffffffffffebffffffffffffffffeffffffffffffffff efffffffffffffeffffffffffffffefffffffffffffffffffeffffffffff ffffffefffffffffffffffffeffffffffffbff77ffc007ffffffefdfbfff ffffffffff7bfffffffffffff3fffffffffffffffdbffffffffffffffffe ffffffffffffffffefffffffffffffeffffffffffffffeffffffffffffff fffffeffffffffffffffffefffffffffffffffffeffffffffffbff77ffc0 07ffc7ffefdfbfffffffffffff7bfffffffffffff3fffffffffffffffdbf fffffffffffffffeffffffffffffffffefffffffffffffefffffffffffff fefffffffffffffffffffeffffffffffffffffefffffffffffffffffefff fffffffbff0fffc007ffbbffefdf7fffffffffffff77fffffffffffff7ff fffffffffffffd7fffffffffffffffff7ffffffffffffffff7ffffffffff fff7ffffffffffffff7fffffffffffffffffff7ffffffffffffffff7ffff fffffffffffff7fffffffffbff5fffc007fffbffefdf7fffffffffffff77 fffffffffffff7fffffffffffffffd7fffffffffffffffff7fffffffffff fffff7fffffffffffff7ffffffffffffff7fffffffffffffffffff7fffff fffffffffff7fffffffffffffffff7fffffffffbff6fffc007ffe7ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbff77 ffc007fffbffefdf7fffefffffffff77f3fffffffffff3ffffffffffffff fd7fefffffffffffffff7fffeffffffffffff3fffffffffffff7fffff3ff ffffff7fffffffffefffffffff7fffffffffeffffff7fffff3ffffffffff f3fffffffffbffffffc007ffbbffefdf7fffdfffffffff77edffffffffff f9fffffffffffffffd7fdfffffffffffffff7fffdffffffffffff9ffffff fffffff7ffffedffffffff7fffffffffdfffffffff7fffffffffdffffff7 ffffedfffffffffff9fffffffffbffffffc007ffc7ffefdeffffdfffffff ff6fedfffffffffff9fffffffffffffffcffdfffffffffffffffbfffdfff fffffffff9fffffffffffffbffffedffffffffbfffffffffdfffffffffbf ffffffffdffffffbffffedfffffffffff9fffffffffbffffffc007ffffff efdeffffbfffffffff6fdefffffffffffcfffffffffffffffcffbfffffff ffffffffbfffbffffffffffffcfffffffffffffbffffdeffffffffbfffff ffffbfffffffffbfffffffffbffffffbffffdefffffffffffcfffffffffb ffffffc007ffffffefdeffff7fffffffff6fdf7ffffffffffd7fffffffff fffffcff7fffffffffffffffbfff7ffffffffffffd7ffffffffffffbffff df7fffffffbfffffffff7fffffffffbfffffffff7ffffffbffffdf7fffff fffffd7ffffffffbffffffc007ffffffefbefffefffffffffeefdfbfffff fffffdbffffffffffffffafeffffffffffffffffbffefffffffffffffdbf fffffffffffbffffdfbfffffffbffffffffeffffffffffbffffffffeffff fffbffffdfbffffffffffdbffffffffbffffffc007ffffffefbefffdffff fffffeefbfdffffffffffedffffffffffffffafdffffffffffffffffbffd fffffffffffffedffffffffffffbffffbfdfffffffbffffffffdffffffff ffbffffffffdfffffffbffffbfdffffffffffedffffffffbffffffc007ff ffffefbdfffdfffffffffedfbfdffffffffffedffffffffffffff9fdffff ffffffffffffdffdfffffffffffffedffffffffffffdffffbfdfffffffdf fffffffdffffffffffdffffffffdfffffffdffffbfdffffffffffedfffff fffbffffffc007ffffffefbdfffbfffffffffedf7fefffffffffff6fffff fffffffff9fbffffffffffffffffdffbffffffffffffff6ffffffffffffd ffff7fefffffffdffffffffbffffffffffdffffffffbfffffffdffff7fef ffffffffff6ffffffffbffffffc007ffffffefbdfff7fffffffffedf7ff7 ffffffffff77fffffffffffff9f7ffffffffffffffffdff7ffffffffffff ff77fffffffffffdffff7ff7ffffffdffffffff7ffffffffffdffffffff7 fffffffdffff7ff7ffffffffff77fffffffbffffffc007ffffffefbdffef fffffffffedf7ffbffffffffff7bfffffffffffff9efffffffffffffffff dfefffffffffffffff7bfffffffffffdffff7ffbffffffdfffffffefffff ffffffdfffffffeffffffffdffff7ffbffffffffff7bfffffffbffffffc0 07ffffffefbdffdffffffffffedefffdffffffffffbdfffffffffffff9df ffffffffffffffffdfdfffffffffffffffbdfffffffffffdfffefffdffff ffdfffffffdfffffffffffdfffffffdffffffffdfffefffdffffffffffbd fffffffbffffffc007ffffffefbbffdffffffffffebefffdffffffffffbd fffffffffffffbdfffffffffffffffffefdfffffffffffffffbdffffffff fffefffefffdffffffefffffffdfffffffffffefffffffdffffffffefffe fffdffffffffffbdfffffffbffffffc007ffffffefbbffbffffffffffebd fffeffffffffffdefffffffffffffbbfffffffffffffffffefbfffffffff ffffffdefffffffffffefffdfffeffffffefffffffbfffffffffffefffff ffbffffffffefffdfffeffffffffffdefffffffbffffffc007ffffffefbb ff7ffffffffffebdffff7fffffffffdf7ffffffffffffb7fffffffffffff ffffef7fffffffffffffffdf7ffffffffffefffdffff7fffffefffffff7f ffffffffffefffffff7ffffffffefffdffff7fffffffffdf7ffffffbffff ffc007ffffffef7bfefffffffffffdbdffffbfffffffffdfbfffffffffff f2ffffffffffffffffffeeffffffffffffffffdfbffffffffffefffdffff bfffffeffffffeffffffffffffeffffffefffffffffefffdffffbfffffff ffdfbffffffbffffffc007ffc7ffef7bfdfffffffffffdbbffffdfffffff ffefdffffffffffff1ffffffffffffffffffedffffffffffffffffefdfff fffffffefffbffffdfffffeffffffdffffffffffffeffffffdfffffffffe fffbffffdfffffffffefdffffffbffffffc007ffbbffef77fdffffffffff fd7bffffdfffffffffefdffffffffffff5fffffffffffffffffff5ffffff ffffffffffefdfffffffffff7ffbffffdffffff7fffffdfffffffffffff7 fffffdffffffffff7ffbffffdfffffffffefdffffffbffffffc007fffbff ef77fbfffffffffffd77ffffeffffffffff7effffffffffff3ffffffffff fffffffff3fffffffffffffffff7efffffffffff7ff7ffffeffffff7ffff fbfffffffffffff7fffffbffffffffff7ff7ffffeffffffffff7effffffb ffffffc007fff7ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000007fbffffffc007ffefffef77f7fffffffffffd77ffffffff fffffff7fffffffffffff7fffffffffffffffffff7fffffffffffffffff7 ffffffffffff7ff7fffffffffff7fffff7fffffffffffff7fffff7ffffff ffff7ff7fffffffffffffff7fffffffbffffffc007ffdfffef77efffffff fffffd6ffffffffffffffffbfffffffffffffbfffffffffffffffffffbff fffffffffffffffbffffffffffff7feffffffffffff7ffffefffffffffff fff7ffffefffffffffff7feffffffffffffffffbfffffffbffffffc007ff 83ffef6feffffffffffffceffffffffffffffffbfffffffffffffbffffff fffffffffffffbfffffffffffffffffbffffffffffffbfeffffffffffffb ffffeffffffffffffffbffffefffffffffffbfeffffffffffffffffbffff fffbffffffc007ffffffef6fdffffffffffffcdffffffffffffffffdffff fffffffffdfffffffffffffffffffdfffffffffffffffffdffffffffffff bfdffffffffffffbffffdffffffffffffffbffffdfffffffffffbfdfffff fffffffffffdfffffffbffffffc007ffffffef6fdffffffffffffcdfffff fffffffffffdfffffffffffffdfffffffffffffffffffdffffffffffffff fffdffffffffffffbfdffffffffffffbffffdffffffffffffffbffffdfff ffffffffbfdffffffffffffffffdfffffffbffffffc007ffffffeeefdfff fffffffffadffffffffffffffffdfffffffffffffdffffffffffffffffff fdfffffffffffffffffdffffffffffffbfdffffffffffffbffffdfffffff fffffffbffffdfffffffffffbfdffffffffffffffffdfffffffbffffffc0 07ffffffeeefbffffffffffffabffffffffffffffffefffffffffffffeff fffffffffffffffffefffffffffffffffffeffffffffffffbfbfffffffff fffbffffbffffffffffffffbffffbfffffffffffbfbffffffffffffffffe fffffffbffffffc007ffffffeedfbffffffffffff9bffffffffffffffffe fffffffffffffefffffffffffffffffffefffffffffffffffffeffffffff ffffdfbffffffffffffdffffbffffffffffffffdffffbfffffffffffdfbf fffffffffffffffefffffffbffffffc007ffffffeedf7ffffffffffff97f ffffffffffffffff7fffffffffffff7fffffffffffffffffff7fffffffff ffffffff7fffffffffffdf7ffffffffffffdffff7ffffffffffffffdffff 7fffffffffffdf7fffffffffffffffff7ffffffbffffffc007ffffffeedf 7ffffffffffff97fffffffffffffffff7fffffffffffff7fffffffffffff ffffff7fffffffffffffffff7fffffffffffdf7ffffffffffffdffff7fff fffffffffffdffff7fffffffffffdf7fffffffffffffffff7ffffffbffff ffc007ffffffeedf7ffffffffffff97fffffffffffffffff7fffffffffff ff7fffffffffffffffffff7fffffffffffffffff7fffffffffffdf7fffff fffffffdffff7ffffffffffffffdffff7fffffffffffdf7fffffffffffff ffff7ffffffbffffffc007ffffffeedefffffffffffff8ffffffffffffff ffffbfffffffffffffbfffffffffffffffffffbfffffffffffffffffbfff ffffffffdefffffffffffffdfffefffffffffffffffdfffeffffffffffff deffffffffffffffffffbffffffbffffffc007ffffffeebeffffffffffff faffffffffffffffffffbfffffffffffffbfffffffffffffffffffbfffff ffffffffffffbfffffffffffeefffffffffffffefffefffffffffffffffe fffeffffffffffffeeffffffffffffffffffbffffffbffffffc007ffffff eebdfffffffffffff9ffffffffffffffffffdfffffffffffffdfffffffff ffffffffffdfffffffffffffffffdfffffffffffedfffffffffffffefffd fffffffffffffffefffdffffffffffffedffffffffffffffffffdffffffb ffffffc007ffffffeebdfffffffffffff9ffffffffffffffffffdfffffff ffffffdfffffffffffffffffffdfffffffffffffffffdfffffffffffedff fffffffffffefffdfffffffffffffffefffdffffffffffffedffffffffff ffffffffdffffffbffffffc007ffffffedbdfffffffffffff1ffffffffff ffffffffdfffffffffffffdfffffffffffffffffffdfffffffffffffffff dfffffffffffedfffffffffffffefffdfffffffffffffffefffdffffffff ffffedffffffffffffffffffdffffffbffffffc007ffefffedbbffffffff fffff3ffffffffffffffffffefffffffffffffefffffffffffffffffffef ffffffffffffffffefffffffffffebfffffffffffffefffbffffffffffff fffefffbffffffffffffebffffffffffffffffffeffffffbffffffc007ff cfffed7bfffffffffffff3ffffffffffffffffffefffffffffffffefffff ffffffffffffffefffffffffffffffffeffffffffffff3ffffffffffffff 7ffbffffffffffffffff7ffbfffffffffffff3ffffffffffffffffffefff fffbffffffc007ffefffed77fffffffffffff7fffffffffffffffffff7ff fffffffffff7fffffffffffffffffff7fffffffffffffffff7ffffffffff f7ffffffffffffff7ff7ffffffffffffffff7ff7fffffffffffff7ffffff fffffffffffff7fffffbffffffc007ffefffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000007fbffffffc007ffefffed77efff fffffffffbfffffffffffffffffffbfffffffffffff7ffffefffffffffff fff7ffffeffffffffffffbfffffffffffbffffffffffffff7ff7efffffff ffffffff7ff7effffffffffffbfffffffffffffffffffffffffbffffffc0 07ffefffed6fdffffffffffffdfffffffffffffffffffdfffffffffffffb ffffdffffffffffffffbffffdffffffffffffdfffffffffffdffffffffff ffff7fefdfffffffffffffff7fefdffffffffffffdffffffffffffffffff fffffffbffffffc007ffc7ffecefdffffffffffffdffffffffffffffffff fdfffffffffffffbffffdffffffffffffffbffffdffffffffffffdffffff fffffdffffffffffffffbfefdfffffffffffffffbfefdffffffffffffdff fffffffffffffffffffffffbffffffc007ffffffecdfbffffffffffffeff fffffffffffffffffefffffffffffffdffffbffffffffffffffdffffbfff fffffffffefffffffffffeffffffffffffffbfdfbfffffffffffffffbfdf bffffffffffffefffffffffffffffffffffffffbffffffc007ffffffecdf 7fffffffffffff7fffffffffffffffffff7ffffffffffffdffff7fffffff fffffffdffff7fffffffffffff7fffffffffff7fffffffffffffbfdf7fff ffffffffffffbfdf7fffffffffffff7ffffffffffffffffffffffffbffff ffc007ffffffeadeffffffffffffffbfffffffffffffffffffbfffffffff fffdfffefffffffffffffffdfffeffffffffffffffbfffffffffffbfffff ffffffffbfdeffffffffffffffffbfdeffffffffffffffbfffffffffffff fffffffffffbffffffc007ffffffeabdffffffffffffffdfffffffffffff ffffffdffffffffffffefffdfffffffffffffffefffdffffffffffffffdf ffffffffffdfffffffffffffbfbdffffffffffffffffbfbdffffffffffff ffdffffffffffffffffffffffffbffffffc007ffffffe9bdffffffffffff ffdfffffffffffffffffffdffffffffffffefffdfffffffffffffffefffd ffffffffffffffdfffffffffffdfffffffffffffdfbdffffffffffffffff dfbdffffffffffffffdffffffffffffffffffffffffbffffffc007ffffff e97bffffffffffffffefffffffffffffffffffefffffffffffff7ffbffff ffffffffffff7ffbffffffffffffffefffffffffffefffffffffffffdf7b ffffffffffffffffdf7bffffffffffffffeffffffffffffffffffffffffb ffffffc007ffffffe977fffffffffffffff7fffffffffffffffffff7ffff ffffffff7ff7ffffffffffffffff7ff7fffffffffffffff7fffffffffff7 ffffffffffffdf77ffffffffffffffffdf77fffffffffffffff7ffffffff fffffffffffffffbffffffc007ffffffe96ffffffffffffffffbffffffff fffffffffffbffffffffffff7fefffffffffffffffff7fefffffffffffff fffbfffffffffffbffffffffffffdf6fffffffffffffffffdf6fffffffff fffffffbfffffffffffffffffffffffbffffffc007ffffffe8dfffffffff fffffffdfffffffffffffffffffdffffffffffffbfdfffffffffffffffff bfdffffffffffffffffdfffffffffffdffffffffffffdedfffffffffffff ffffdedffffffffffffffffdfffffffffffffffffffffffbffffffc007ff ffffeadffffffffffffffffdfffffffffffffffffffdffffffffffffbfdf ffffffffffffffffbfdffffffffffffffffdfffffffffffdffffffffffff eedfffffffffffffffffeedffffffffffffffffdffffffffffffffffffff fffbffffffc007ffffffe9bffffffffffffffffefffffffffffffffffffe ffffffffffffdfbfffffffffffffffffdfbffffffffffffffffeffffffff fffeffffffffffffedbfffffffffffffffffedbffffffffffffffffeffff fffffffffffffffffffbffffffc007ffffffe97fffffffffffffffff7fff ffffffffffffffff7fffffffffffdf7fffffffffffffffffdf7fffffffff ffffffff7fffffffffff7fffffffffffed7fffffffffffffffffed7fffff ffffffffffff7ffffffffffffffffffffffbffffffc007ffffffe0ffffff ffffffffffffbfffffffffffffffffffbfffffffffffdeffffffffffffff ffffdeffffffffffffffffffbfffffffffffbfffffffffffecffffffffff ffffffffecffffffffffffffffffbffffffffffffffffffffffbffffffc0 07ffc7ffe1ffffffffffffffffffdfffffffffffffffffffdfffffffffff edffffffffffffffffffedffffffffffffffffffdfffffffffffdfffffff ffffe9ffffffffffffffffffe9ffffffffffffffffffdfffffffffffffff fffffffbffffffc007ffbbffe1ffffffffffffffffffdfffffffffffffff ffffdfffffffffffedffffffffffffffffffedffffffffffffffffffdfff ffffffffdffffffffffff1fffffffffffffffffff1ffffffffffffffffff dffffffffffffffffffffffbffffffc007ffb3ffe3ffffffffffffffffff efffffffffffffffffffeffffffffffff3fffffffffffffffffff3ffffff ffffffffffffefffffffffffeffffffffffff3fffffffffffffffffff3ff ffffffffffffffffeffffffffffffffffffffffbffffffc007ffabffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000007fbffff ffc007ff9bffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffbffffffc007ffbbffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffc7ffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffbffffffc007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffbffffffc007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffbffffffc007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffbffff ffc007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffbffffffc007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000003ffffffc007ffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffc007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffc007ff fff1ffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffe0c6e83fffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff dc18ffffffc007ffffeeffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffbee4bffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffff9fd77fffffc007ffffecffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbeeabffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffdfb77fffffc007ffffeaffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbeee87fffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffdfb8ffffffc0 07ffffe6ffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbeeebffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffdf777fffffc007ffffeeffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbeeebffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffdf777fffffc007fffff1ffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbc6e83fffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffff8f78ffffffc007ffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffc007ffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffc007ffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffc007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffc007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffc00000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000 grestore showpage %%EndDocument @endspecial 1881 990 V 67 992 1816 2 v 0 1132 a Fq(Figure)13 b(3:)18 b(Sev)o(eral)13 b(spanning)h(binomial)g(broadcast)e(trees)h(sync)o (hronised)g(during)h(the)f(Successiv)o(e)h(Broadcasts)0 1244 y(Algorithm)i(on)f(a)g(4-cub)q(e.)0 1432 y([4])22 b(S.L.)14 b(Johnsson)i(and)e(Ching-Tien)j(Ho.)i(Optim)o(um)c(broadcasting)g(and)g(p)q (ersonalized)i(comm)o(unication)e(in)71 1545 y(h)o(yp)q(ercub)q(es.)21 b Fh(IEEE)15 b(T)m(r)n(ansaction)g(on)h(Computers)p Fq(,)f(38\(9\):1249{12)o (68,)c(1989.)952 2795 y(14)p eop %%Page: 15 15 14 bop 67 60 1816 2 v 67 998 2 939 v 97 986 a @beginspecial 15 @llx 231 @lly 597 @urx 531 @ury 4252 @rwi @setspecial %%BeginDocument: trace.4.c.ps /readstring { currentfile exch readhexstring pop } bind def /picstr 98 string def gsave 15.3 231.009 translate 581.4 299.982 scale 783 404 1 [ 783 0 0 -404 0 404 ] { picstr readstring } image 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffc007ffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffc007ffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffc007ffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffc61c71820c6e83f871c71871bbfffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffbaebaebfbee4bffdbbbaebae93fffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffc007ffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffbeebafbfbeeabffdbbbafba eabfffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffc007ffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffc6182f8 7beee87fdbb82f860bbfffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffc007ffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffafbafbfbeeebffdbbbacaeebbfffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffc007ffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffbafbaebfbeeebffdbbbaeb6ebbfffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffc007ffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffc6fbb183bc6e83f871b b1baebbfffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffc007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffc007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffc007ffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffc007ffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffc007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffc007ff ffffe0000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0003ffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffbffff ffc007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffbffffffc007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffbffffffc007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffbffffffc007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffbffffffc007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007ff707fefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007fe77ffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ff70ffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffbffff ffc007ff7f7fe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007ff7f7fefffffffffffffffeffff3fffffff3ff ffffffffefffffffeffff3fffffffffffffff3ffffffffffefffffffefff f3fffffff3ffffffffffefffffffffffffffeffff3fffffffffffffff3ff ffffffffeffffffffffffffffffbffffffc007ff777fefffffffffffffff dfffedfffffff1ffffffffffdfffffffdffff1ffffffffffffffedffffff ffffdfffffffdfffedfffffff1ffffffffffdfffffffffffffffdffff1ff ffffffffffffedffffffffffdffffffffffffffffffbffffffc007fe38ff efffffffffffffffdfffedffffffe9ffffffffffdfffffffdffff1ffffff ffffffffedffffffffffdfffffffdfffedfffffff1ffffffffffdfffffff ffffffffdfffe9ffffffffffffffedffffffffffdffffffffffffffffffb ffffffc007ffffffefffffffffffffffbfffdeffffffecffffffffffbfff ffffbffff0ffffffffffffffdeffffffffffbfffffffbfffdefffffff0ff ffffffffbfffffffffffffffbfffecffffffffffffffdeffffffffffbfff fffffffffffffffbffffffc007ffffffefffffffffffffff7fffdf7fffff ed7fffffffff7fffffff7ffff17fffffffffffffdf7fffffffff7fffffff 7fffdf7ffffff97fffffffff7fffffffffffffff7fffed7fffffffffffff df7fffffffff7ffffffffffffffffffbffffffc007ffffffefffffffffff fffeffffdfbfffffedbffffffffefffffffeffffe9bfffffffffffffdfbf fffffffefffffffeffffdfbffffff9bffffffffefffffffffffffffeffff edbfffffffffffffdfbffffffffefffffffffffffffffffbffffffc007ff ffffeffffffffffffffdffffbfdfffffeedffffffffdfffffffdffffeadf ffffffffffffbfdffffffffdfffffffdffffbfdffffffadffffffffdffff fffffffffffdffffeedfffffffffffffbfdffffffffdffffffffffffffff fffbffffffc007ffffffeffffffffffffffdffffbfdfffffdedffffffffd fffffffdffffecdfffffffffffffbfdffffffffdfffffffdffffbfdfffff f8dffffffffdfffffffffffffffdffffdedfffffffffffffbfdffffffffd fffffffffffffffffffbffffffc007ffffffeffffffffffffffbffff7fef ffffdf6ffffffffbfffffffbffffed6fffffffffffff7feffffffffbffff fffbffff7feffffff96ffffffffbfffffffffffffffbffffdf6fffffffff ffff7feffffffffbfffffffffffffffffffbffffffc007ffffffefffffff fffffff7ffff7ff7ffffdf77fffffff7fffffff7ffffed77ffffffffffff 7ff7fffffff7fffffff7ffff7ff7fffff977fffffff7fffffffffffffff7 ffffdf77ffffffffffff7ff7fffffff7fffffffffffffffffffbffffffc0 07ffffffefffffffffffffefffff7ffbffffdf7bffffffefffffffefffff ed7bffffffffffff7ffbffffffefffffffefffff7ffbfffff97bffffffef ffffffffffffffefffffdf7bffffffffffff7ffbffffffefffffffffffff fffffffbffffffc007ffffffefffffffffffffdffffefffdffffdfbdffff ffdfffffffdfffffedbdfffffffffffefffdffffffdfffffffdffffefffd fffff9bdffffffdfffffffffffffffdfffffdfbdfffffffffffefffdffff ffdffffffffffffffffffffbffffffc007ffffffefffffffffffffdffffe fffdffffbfbdffffffdfffffffdfffffeebdfffffffffffefffdffffffdf ffffffdffffefffdfffffabdffffffdfffffffffffffffdfffffbfbdffff fffffffefffdffffffdffffffffffffffffffffbffffffc007ffffffefff ffffffffffbffffdfffeffffbfdeffffffbfffffffbfffffeedeffffffff fffdfffeffffffbfffffffbffffdfffefffffadeffffffbfffffffffffff ffbfffffbfdefffffffffffdfffeffffffbffffffffffffffffffffbffff ffc007ffffffefffffffffffff7ffffdffff7fffbfdf7fffff7fffffff7f ffffeedf7ffffffffffdffff7fffff7fffffff7ffffdffff7ffffcdf7fff ff7fffffffffffffff7fffffbfdf7ffffffffffdffff7fffff7fffffffff fffffffffffbffffffc007ffffffeffffffffffffefffffdffffbfffbfdf bffffefffffffeffffffdedfbffffffffffdffffbffffefffffffefffffd ffffbffffcdfbffffefffffffffffffffeffffffbfdfbffffffffffdffff bffffefffffffffffffffffffffbffffffc007ff7effeffffffffffffdff fffbffffdfffbfefdffffdfffffffdffffffdeefdffffffffffbffffdfff fdfffffffdfffffbffffdffffcefdffffdfffffffffffffffdffffffbfef dffffffffffbffffdffffdfffffffffffffffffffffbffffffc007fe7cff effffffffffffdfffffbffffdfff7fefdffffdfffffffdffffffdf6fdfff fffffffbffffdffffdfffffffdfffffbffffdffffd6fdffffdffffffffff fffffdffffff7fefdffffffffffbffffdffffdfffffffffffffffffffffb ffffffc007ff7affeffffffffffffbfffff7ffffefff7ff7effffbffffff fbffffffdf77effffffffff7ffffeffffbfffffffbfffff7ffffeffffd77 effffbfffffffffffffffbffffff7ff7effffffffff7ffffeffffbffffff fffffffffffffffbffffffc007ff76ffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000007fffffffffbffffffc007ff707fefffffffffff f7fffff7ffffffff7ff7fffff7fffffff7ffffffdf77fffffffffff7ffff fffff7fffffff7fffff7fffffffffd77fffff7fffffffffffffff7ffffff 7ff7fffffffffff7fffffffff7fffffffffffffffffffffbffffffc007ff 7effefffffffffffefffffefffffffff7ffbfffff3fffffff3ffffffdf7b ffffffffffefffffffffefffffffefffffeffffffffffd7bfffff3ffffff fffffffff3ffffff7ffbffffffffffefffffffffefffffffffffffffffff fffbffffffc007fe3effefffffffffffefffffeffffffffefffbffffebff fffff3ffffffdfbbffffffffffefffffffffefffffffefffffefffffffff fdbbfffff3ffffffffffffffebfffffefffbffffffffffefffffffffefff fffffffffffffffffffbffffffc007ffffffefffffffffffdfffffdfffff fffefffdffffedfffffff1ffffffdfbdffffffffffdfffffffffdfffffff dfffffdffffffffffdbdfffff1ffffffffffffffedfffffefffdffffffff ffdfffffffffdffffffffffffffffffffffbffffffc007ffffffefffffff ffffdfffffdffffffffefffdffffedfffffff1ffffffdfbdffffffffffdf ffffffffdfffffffdfffffdffffffffffebdfffff9ffffffffffffffedff fffefffdffffffffffdfffffffffdffffffffffffffffffffffbffffffc0 07ffffffefffffffffffdfffffdffffffffefffdffffedffffffe9ffffff bfbdffffffffffdfffffffffdfffffffdfffffdffffffffffebdfffff9ff ffffffffffffedfffffefffdffffffffffdfffffffffdfffffffffffffff fffffffbffffffc007ffffffefffffffffffbfffffbffffffffefffeffff eeffffffeaffffffbfbeffffffffffbfffffffffbfffffffbfffffbfffff fffffebefffffaffffffffffffffeefffffefffeffffffffffbfffffffff bffffffffffffffffffffffbffffffc007ffffffefffffffffffbfffffbf fffffffdfffeffffdeffffffecffffffbfdeffffffffffbfffffffffbfff ffffbfffffbffffffffffedefffff8ffffffffffffffdefffffdfffeffff ffffffbfffffffffbffffffffffffffffffffffbffffffc007ffffffefff ffffffff7fffff7ffffffffdffff7fffdf7fffffed7fffffbfdf7fffffff ff7fffffffff7fffffff7fffff7ffffffffffedf7ffff97fffffffffffff df7ffffdffff7fffffffff7fffffffff7ffffffffffffffffffffffbffff ffc007ffffffefffffffffff7fffff7ffffffffdffff7fffdf7fffffed7f ffffbfdf7fffffffff7fffffffff7fffffff7fffff7ffffffffffedf7fff f97fffffffffffffdf7ffffdffff7fffffffff7fffffffff7fffffffffff fffffffffffbffffffc007ffffffefffffffffff7fffff7ffffffffdffff 7fffdf7fffffed7fffffbfdf7fffffffff7fffffffff7fffffff7fffff7f fffffffffedf7ffff97fffffffffffffdf7ffffdffff7fffffffff7fffff ffff7ffffffffffffffffffffffbffffffc007ffffffeffffffffffeffff fefffffffffdffffbfffdfbfffffedbfffffbfdfbffffffffefffffffffe fffffffefffffefffffffffffedfbffff9bfffffffffffffdfbffffdffff bffffffffefffffffffefffffffffffffffffffffffbffffffc007ffffff effffffffffefffffefffffffffbffffbfffbfbfffffeebfffffbfefbfff fffffefffffffffefffffffefffffefffffffffffeefbffffabfffffffff ffffbfbffffbffffbffffffffefffffffffefffffffffffffffffffffffb ffffffc007ffffffeffffffffffdfffffdfffffffffbffffdfffbfdfffff eedfffffbfefdffffffffdfffffffffdfffffffdfffffdfffffffffffeef dffffadfffffffffffffbfdffffbffffdffffffffdfffffffffdffffffff fffffffffffffffbffffffc007ffffffeffffffffffdfffffdfffffffffb ffffdfffbfdfffffeedfffffbfefdffffffffdfffffffffdfffffffdffff fdffffffffffff6fdffffcdfffffffffffffbfdffffbffffdffffffffdff fffffffdfffffffffffffffffffffffbffffffc007ffffffeffffffffffd fffffdfffffffffbffffdfffbfdfffffdedfffff7fefdffffffffdffffff fffdfffffffdfffffdffffffffffff6fdffffcdfffffffffffffbfdffffb ffffdffffffffdfffffffffdfffffffffffffffffffffffbffffffc007ff 78ffeffffffffffbfffffbfffffffffbffffefffbfefffffdeefffff7fef effffffffbfffffffffbfffffffbfffffbffffffffffff6feffffcefffff ffffffffbfeffffbffffeffffffffbfffffffffbffffffffffffffffffff fffbffffffc007fe777feffffffffffbfffffbfffffffff7ffffefff7fef ffffdf6fffff7ff7effffffffbfffffffffbfffffffbfffffbffffffffff ff77effffd6fffffffffffff7feffff7ffffeffffffffbfffffffffbffff fffffffffffffffffffbffffffc007ff7f7feffffffffff7fffff7ffffff fff7fffff7ff7ff7ffffdf77ffff7ff7f7fffffff7fffffffff7fffffff7 fffff7ffffffffffff77f7fffd77ffffffffffff7ff7fff7fffff7ffffff f7fffffffff7fffffffffffffffffffffffbffffffc007ff7cffe0000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000007fffffffffbffffffc0 07ff7f7feffffffffff7effff3fffffffff7fffffbff7ff7ffffcf77ffff 6ff7fbfffffff3fffffffff7effffff7effff3ffffffffffff77fbfffd77 ffffefffffff7ff7fff7effffbfffffff3fffffffff7efffffffffffffff fffffffbffffffc007ff777fefffffffffefdffff5fffffffff7fffffdff 7ffbffffdf7bffff5ff7fdfffffff5ffffffffefdfffffefdffff5ffffff ffffff77fdfffd7bffffdfffffff7ffbfff7dffffdfffffff5ffffffffef dffffffffffffffffffffffbffffffc007fe38ffefffffffffefdfffedff ffffffeffffffdfefffbffffdfbbffff5ffbfdfffffff1ffffffffefdfff ffefdffff1ffffffffffff7bfdfffdbbffffdffffffefffbffefdffffdff ffffedffffffffefdffffffffffffffffffffffbffffffc007ffffffefff ffffffdfbfffeeffffffffeffffffefefffdffff9fbdffff3ffbfeffffff f2ffffffffdfbfffffdfbffff2ffffffffffff7bfefffdbdffffbffffffe fffdffefbffffeffffffeeffffffffdfbffffffffffffffffffffffbffff ffc007ffffffefffffffffdf7fffef7fffffffefffffff7efffdffff5fbd ffff7ffbff7ffffff37fffffffdf7fffffdf7ffffb7fffffffffffbbff7f febdffff7ffffffefffdffef7fffff7fffffef7fffffffdf7fffffffffff fffffffffffbffffffc007ffffffefffffffffdeffffefbfffffffefffff ffbefffdfffebfbdfffefffbffbfffffebbfffffffdeffffffdefffffbbf ffffffffffbbffbffebdfffefffffffefffdffeeffffffbfffffefbfffff ffdefffffffffffffffffffffffbffffffc007ffffffefffffffffbdffff efdfffffffefffffffdefffefffdbfbefffcfffbffdfffffebdfffffffbd ffffffbdfffffbdfffffffffffbbffdffebefffdfffffffefffeffedffff ffdfffffefdfffffffbdfffffffffffffffffffffffbffffffc007ffffff efffffffffbdffffdfdfffffffdfffffffddfffefffdbfdefffcfffdffdf ffffeddfffffffbdffffffbdfffff9dfffffffffffbdffdffedefffdffff fffdfffeffddffffffdfffffdfdfffffffbdfffffffffffffffffffffffb ffffffc007ffffffefffffffff7bffffdfefffffffdfffffffedffff7ffb bfdf7ffafffdffefffffedefffffff7bffffff7bfffff9efffffffffffbd ffeffedf7ffbfffffffdffff7fdbffffffefffffdfefffffff7bffffffff fffffffffffffffbffffffc007ffffffefffffffff77ffffdff7ffffffdf fffffff5ffff7ff7bfdf7ff6fffdfff7ffffedf7ffffff77ffffff77ffff f9f7ffffffffffbdfff7fedf7ff7fffffffdffff7fd7fffffff7ffffdff7 ffffff77fffffffffffffffffffffffbffffffc007ffffffefffffffff6f ffffdffbffffffdffffffff9ffff7fefbfdf7feefffdfffbffffedfbffff ff6fffffff6ffffff9fbffffffffffbdfffbfedf7feffffffffdffff7fcf fffffffbffffdffbffffff6ffffffffffffffffffffffffbffffffc007ff ffffeffffffffedfffffdffdffffffdffffffffdffffbfdfbfdfbfdefffd fffdffffedfdfffffedffffffedffffff9fdffffffffffbdfffdfedfbfdf fffffffdffffbfdffffffffdffffdffdfffffedfffffffffffffffffffff fffbffffffc007ffffffeffffffffedfffffbffdffffffbffffffff9ffff bfdfbfefbfdefffefffdffffeefdfffffedffffffedffffffafdffffffff ffbefffdfeefbfdffffffffbffffbf9ffffffffdffffbffdfffffedfffff fffffffffffffffffffbff0fffc007ffffffeffffffffdbfffffbffeffff ffbffffffffaffffdfbfbfefdfbefffefffeffffeefefffffdbffffffdbf fffffafeffffffffffbefffefeefdfbffffffffbffffdfbffffffffeffff bffefffffdbffffffffffffffffffffffffbff77ffc007ffffffefffffff fd7fffffbfff7fffffbffffffffb7fffdf7fbfefdf7efffeffff7fffeeff 7ffffd7ffffffd7ffffffcff7fffffffffdeffff7f6fdf7ffffffffbffff df3fffffffff7fffbfff7ffffd7ffffffffffffffffffffffffbff77ffc0 07ffffffeffffffffcffffffbfffbfffffbffffffffbbfffdeff7fefdefd fffeffffbfffdeffbffffcfffffffcfffffffcffbfffffffffdeffffbf6f defffffffffbffffdebfffffffffbfffbfffbffffcffffffffffffffffff fffffffbff0fffc007ff78ffeffffffff9ffffffbfffdfffffbffffffffb dfffedff7fefedfdfffeffffdfffdeffdffff9fffffff9fffffffcffdfff ffffffdeffffdf6fedfffffffffbffffedbfffffffffdfffbfffdffff9ff fffffffffffffffffffffffbff7fffc007fe777feffffffff9ffffff7fff dfffff7ffffffff7dfffedff7ff7edfdffff7fffdfffdf7fdffff9ffffff f9fffffffd7fdfffffffffdf7fffdf77edfffffffff7ffffed7fffffffff dfff7fffdffff9fffffffffffffffffffffffffbff7fffc007ff7f7fefff fffff3ffffff7fffefffff7ffffffff7effff3ff7ff7f3fdffff7fffefff df7feffff3fffffff3fffffffd7fefffffffffdf7fffef77f3fffffffff7 fffff37fffffffffefff7fffeffff3fffffffffffffffffffffffffbff7f ffc007ff7effe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007ff7dffeffffffff7ffffff7fffffffff7fffff fff7ffffffff7ff7fffdffff7fffffffdf7ffffff7fffffff7fffffffd7f ffffffffffdf7fffff77fffffffffff7ffffff7fffffffffffff7fffffff f7fffffffffffffffffffffffffbffffffc007ff7bffeffffffff7ffffff 7fffffffff7ffffffff7ffffffff7ff7fffdffff7fffffffdf7ffffff7ff fffff7fffffffd7fffffffffffdf7fffff77fffffffffff7ffffff7fffff ffffffff7ffffffff7fffffffffffffffffffffffffbffffffc007fe307f efffffffeffffffefffffffffeffffffffefffffffff7ffbfffdffffbfff ffffdfbffffff3fffffff3fffffffdbfffffffffffdfbfffff7bffffffff ffeffffffefffffffffffffeffffffffeffffffffffffffffffffffffffb ffffffc007ffffffefffffffeffffffefffffffffeffffffffefffffffff 7ffbfffdffffbfffffffdfbffffff3fffffff3fffffffdbfffffffffffdf bfffff7bffffffffffeffffffefffffffffffffeffffffffefffffffffff fffffffffffffffbffffffc007ffffffefffffffeffffffefffffffffeff ffffffefffffffff7ffbfffdffffbfffffffdfbffffff3fffffffbffffff febfffffffffffefbfffffbbffffffffffeffffffefffffffffffffeffff ffffeffffffffffffffffffffffffffbff0fffc007ffffffefffffffefff fffefffffffffeffffffffeffffffffefffbfffbffffbfffffffbfbfffff ebfffffffbfffffffebfffffffffffefbfffffbbffffffffffeffffffeff fffffffffffeffffffffeffffffffffffffffffffffffffbff77ffc007ff ffffefffffffeffffffefffffffffeffffffffeffffffffefffbfffbffff bfffffffbfbfffffebfffffffbfffffffebfffffffffffefbfffffbbffff ffffffeffffffefffffffffffffeffffffffefffffffffffffffffffffff fffbff77ffc007ffffffefffffffdffffffdfffffffffdffffffffdfffff fffefffdfffbffffdfffffffbfdfffffedfffffff9fffffffedfffffffff ffefdfffffbdffffffffffdffffffdfffffffffffffdffffffffdfffffff fffffffffffffffffffbff0fffc007ffffffefffffffdffffffdffffffff fdffffffffdffffffffefffdfffbffffdfffffffbfdfffffedfffffff9ff fffffedfffffffffffefdfffffbdffffffffffdffffffdfffffffffffffd ffffffffdffffffffffffffffffffffffffbff5fffc007ffffffefffffff dffffffdfffffffffdffffffffdffffffffefffdfffbffffdfffffffbfdf ffffedfffffff9fffffffedfffffffffffefdfffffbdffffffffffdfffff fdfffffffffffffdffffffffdffffffffffffffffffffffffffbff6fffc0 07ffffffefffffffdffffffdfffffffffdffffffffdffffffffefffdfffb ffffdfffffffbfdfffffedfffffff9fffffffedfffffffffffefdfffffbd ffffffffffdffffffdfffffffffffffdffffffffdfffffffffffffffffff fffffffbff77ffc007ffffffefffffffdffffffdfffffffffdffffffffdf fffffffefffdfffbffffdfffffffbfdfffffedfffffff9fffffffedfffff ffffffefdfffffbdffffffffffdffffffdfffffffffffffdffffffffdfff fffffffffffffffffffffffbffffffc007ffffffefffffffbffffffbffff fffffbffffffffbffffffffefffefffbffffefffffffbfefffffeeffffff fafffffffeefffffffffffefefffffbeffffffffffbffffffbffffffffff fffbffffffffbffffffffffffffffffffffffffbffffffc007ffffffefff ffffbffffffbfffffffffbffffffffbffffffffefffefffbffffefffffff bfefffffeefffffffafffffffeefffffffffffefefffffbeffffffffffbf fffffbfffffffffffffbffffffffbffffffffffffffffffffffffffbffff ffc007ffffffefffffffbffffffbfffffffffbffffffffbffffffffefffe fffbffffefffffffbfefffffeefffffffcffffffff6ffffffffffff7efff ffdeffffffffffbffffffbfffffffffffffbffffffffbfffffffffffffff fffffffffffbffffffc007ffffffefffffffbffffffbfffffffffbffffff ffbffffffffdfffefff7ffffefffffff7fefffffdefffffffcffffffff6f fffffffffff7efffffdeffffffffffbffffffbfffffffffffffbffffffff bffffffffffffffffffffffffffbffffffc007ff7dffefffffffbffffffb fffffffffbffffffffbffffffffdfffefff7ffffefffffff7fefffffdeff fffffcffffffff6ffffffffffff7efffffdeffffffffffbffffffbffffff fffffffbffffffffbffffffffffffffffffffffffffbff8fffc007fe79ff efffffff7ffffff7fffffffff7ffffffff7ffffffffdffff7ff7fffff7ff ffff7ff7ffffdf7ffffffd7fffffff77fffffffffff7f7ffffdf7fffffff ff7ffffff7fffffffffffff7ffffffff7ffffffffffffffffffffffffffb ff77ffc007ff7dffefffffff7ffffff7fffffffff7ffffffff7ffffffffd ffff7ff7fffff7ffffff7ff7ffffdf7ffffffd7fffffff77fffffffffff7 f7ffffdf7fffffffff7ffffff7fffffffffffff7ffffffff7fffffffffff fffffffffffffffbff77ffc007ff7dffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000007fffffffffbff77ffc007ff7dffefffffff7fff eff7f3fffffff3ffffffff7feffffffdffff7ff7effff3ffffff7ff7ffff d37ffffffd7fefffff77effff3fffff7f3ffffdf7fffefffff7feffff3ff fffffffffff7f3ffffff7fffeffffffffffffffffffffffbff77ffc007ff 7dffefffffff7fffdff7edfffffff1ffffffff7fdffffffdffff7ff7dfff f9ffffff7ff7ffffcd7ffffffd7fdfffff77dfffedfffff7f9ffffdf7fff dfffff7fdffff1fffffffffffff7edffffff7fffdfffffffffffffffffff fffbff77ffc007fe38ffeffffffeffffdfefedfffffff1fffffffeffdfff fffdffffbff7dffff9ffffff7ffbffffcdbffffffdbfdfffff7bdfffedff fff7f9ffffdfbfffdffffeffdffff1ffffffffffffefedfffffeffffdfff fffffffffffffffffffbff8fffc007ffffffeffffffeffffbfefdeffffff f4fffffffeffbffffffdffffbff7bffffcffffff7ffbffffdebffffffdbf bfffff7bbfffdefffff7fcffffdfbfffbffffeffbffff4ffffffffffffef defffffeffffbffffffffffffffffffffffbffffffc007ffffffeffffffe ffff7fefdf7ffffff57ffffffeff7ffffffdffffbff77ffffd7fffff7ffb ffffdf3ffffffebf7fffffbb7fffdf7ffffbfd7fffefbfff7ffffeff7fff f97fffffffffffefdf7ffffeffff7ffffffffffffffffffffffbffffffc0 07ffffffeffffffefffeffefdfbfffffedbffffffefefffffffbffffbfee fffffdbffffefffbffff9fbffffffebeffffffbaffffdfbffffbfdbfffef bffefffffefefffff9bfffffffffffefdfbffffefffeffffffffffffffff fffffffbffffffc007ffffffeffffffefffdffefbfdfffffeedffffffefd fffffffbffffbfedfffffedffffefffbffffbf9ffffffebdffffffb9ffff bfdffffbfedfffefbffdfffffefdfffffadfffffffffffefbfdffffefffd fffffffffffffffffffffffbffffffc007ffffffeffffffdfffdffdfbfdf ffffeedffffffdfdfffffffbffffdfedfffffedffffefffdffffbfdfffff feddffffffbdffffbfdffffbfedfffefdffdfffffdfdfffffadfffffffff ffdfbfdffffdfffdfffffffffffffffffffffffbffffffc007ffffffefff fffdfffbffdf7fefffffef6ffffffdfbfffffffbffffdfebffffff6ffffe fffdffff3fcffffffedbffffffb9ffff7feffffbff6fffefdffbfffffdfb fffffb6fffffffffffdf7feffffdfffbfffffffffffffffffffffffbff8f ffc007ffffffeffffffdfff7ffdf7ff7ffffef77fffffdf7fffffffbffff dfe7ffffff77fffefffdffff3fd7fffffed7ffffffb5ffff7ff7fffbff77 ffefdff7fffffdf7fffffb77ffffffffffdf7ff7fffdfff7ffffffffffff fffffffffffbff77ffc007ffffffeffffffdffefffdf7ffbffffef7bffff fdeffffffffbffffdfefffffff7bfffefffdffff3fdbfffffecfffffffad ffff7ffbfffbff7bffefdfeffffffdeffffffb7bffffffffffdf7ffbfffd ffeffffffffffffffffffffffffbff7fffc007ffffffeffffffdffdfffde fffdffffefbdfffffddffffffffbffffdfcfffffffbdfffefffdfffebfdd fffffedfffffff9dfffefffdfffbffbdffefdfdffffffddffffffbbdffff ffffffdefffdfffdffdffffffffffffffffffffffffbff7fffc007ffffff effffffbffdfffbefffdffffefbdfffffbdffffffffbffffefcfffffffbd fffefffefffebfedfffffecfffffff9efffefffdfffbffbdffefefdfffff fbdffffffbbdffffffffffbefffdfffbffdffffffffffffffffffffffffb ff7fffc007ffffffeffffffbffbfffbdfffeffffefdefffffbbffffffffb ffffefafffffffdefffefffefffdbfeefffffeafffffffbefffdfffefffb ffdeffefefbffffffbbffffffbdeffffffffffbdfffefffbffbfffffffff fffffffffffffffbff77ffc007ffffffeffffffbff7fffbdffff7fffefdf 7ffffb7ffffffffbffffef6fffffffdf7ffefffefffdbfef7fffff6fffff ff5efffdffff7ffdffdf7ff7ef7ffffffb7ffffffddf7fffffffffbdffff 7ffbff7ffffffffffffffffffffffffbff8fffc007ffffffeffffffbfeff ffbdffffbfffdfdfbffffafffffffff7ffffeedfffffffdfbffdfffefffd 7fefbffffe6ffffffedefffdffffbffdffdfbff7eefffffffafffffffddf bfffffffffbdffffbffbfefffffffffffffffffffffffffbffffffc007ff 78ffeffffffbfdffffbbffffdfffdfefdffff9fffffffff7ffffeddfffff ffefdffdfffefffb7fefdffffd6ffffffddefffbffffdffdffefdff7edff fffff9fffffffdefdfffffffffbbffffdffbfdffffffffffffffffffffff fffbffffffc007fe777feffffff7fdffff7bffffdfffdfefdffff5ffffff fff7fffff5dfffffffefdffdffff7ffb7ff7dffffd77fffffddf7ffbffff dffdffefdff7f5fffffff5fffffffdefdfffffffff7bffffdff7fdffffff fffffffffffffffffffbffffffc007ff767feffffff7fbffff77ffffefff dff7effff3fffffffff7fffff3dffffffff7effdffff7ff77ff7effffb77 fffffbdf7ff7ffffeffdfff7eff7f3fffffff3fffffffdf7efffffffff77 ffffeff7fbfffffffffffffffffffffffffbffffffc007ff757fe0000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000007fffffffffbffffffc0 07ff737feffffff7f7ffff77ffffffffdff7fffff7fffffffff7fffff7df fffffff7fffdffff7ff77ff7fffff777fffff7df7ff7fffffffdfff7fff7 f7fffffff7fffffffdf7ffffffffff77fffffff7f7ffffffffffffffffff fffffffbff07ffc007ff777feffffff7efffff6fffffffffdffbfffff3ff fffffff7fffffbdffffffffbfffdffff7fef7ff7ffffef77ffffefdf7fef fffffffdfffbfff7fbfffffff3fffffffdfbffffffffff6ffffffff7efff fffffffffffffffffffffffbff7fffc007fe38ffefffffefeffffeefffff ffffdffbfffff3fffffffff7fffffbdffffffffbfffdffffbfef7ffbffff ef7bffffefdfbfeffffffffdfffbfff7fbfffffff3fffffffdfbffffffff feefffffffefeffffffffffffffffffffffffffbff7fffc007ffffffefff ffefdffffedfffffffffdffdfffff5fffffffff7fffffddffffffffdfffd ffffbfdf7ffbffffdf7bffffdfdfbfdffffffffdfffdfff7fdfffffff5ff fffffdfdfffffffffedfffffffefdffffffffffffffffffffffffffbff0f ffc007ffffffefffffefdffffedfffffffffdffdfffff5fffffffff7ffff fddffffffffdfffdffffbfdf7ffbffffdfbbffffdfefbfdffffffffefffd fffbfdfffffff9fffffffefdfffffffffedfffffffefdfffffffffffffff fffffffffffbff7fffc007ffffffefffffefdffffedfffffffffbffdffff edffffffffeffffffdbffffffffdfffbffffbfdefffbffffdfbbffffdfef bfdffffffffefffdfffbfdfffffff9fffffffefdfffffffffedfffffffef dffffffffffffffffffffffffffbff7fffc007ffffffefffffefbffffebf ffffffffbffeffffeeffffffffeffffffebffffffffefffbffffbfbefffb ffffbfbbffffbfefbfbffffffffefffefffbfefffffffafffffffefeffff fffffebfffffffefbffffffffffffffffffffffffffbff07ffc007ffffff efffffdfbffffdbfffffffffbffeffffeeffffffffeffffffebffffffffe fffbffffdfbefffdffffbfbdffffbfefdfbffffffffefffefffbfeffffff fafffffffefefffffffffdbfffffffdfbffffffffffffffffffffffffffb ffffffc007ffffffefffffdf7ffffd7fffffffffbfff7fffef7fffffffef ffffff3fffffffff7ffbffffdf7efffdffff7fbdffff7fefdf7ffffffffe ffff7ffbff7ffffffb7ffffffeff7ffffffffd7fffffffdf7fffffffffff fffffffffffffffbffffffc007ffffffefffffdf7ffffd7fffffffffbfff 7fffef7fffffffefffffff3fffffffff7ffbffffdf7efffdffff7fbdffff 7fefdf7ffffffffeffff7ffbff7ffffffb7ffffffeff7ffffffffd7fffff ffdf7ffffffffffffffffffffffffffbffffffc007ffffffefffffdf7fff fd7fffffffffbfff7fffef7fffffffefffffff3fffffffff7ffbffffdf7e fffdffff7fbdffff7fefdf7ffffffffeffff7ffbff7ffffffb7ffffffeff 7ffffffffd7fffffffdf7ffffffffffffffffffffffffffbffffffc007ff ffffefffffdefffffcffffffffffbfffbfffefbfffffffefffffffbfffff ffffbffbffffdefefffdfffeffbdfffeffefdefffffffffeffffbffbffbf fffffbbffffffeffbffffffffcffffffffdeffffffffffffffffffffffff fffbffffffc007ffffffefffffbefffffaffffffffffbfffbfffefbfffff ffefffffffbfffffffffbffbffffeefefffefffeffbefffeffefeeffffff fffeffffbffbffbffffffbbffffffeffbffffffffaffffffffbeffffffff fffffffffffffffffffbff8fffc007ffffffefffffbdfffff9ffffffffff bfffdfffefdfffffffefffffff9fffffffffdffbffffedfefffefffdffbe fffdffefedfffffffffeffffdffbffdffffffbdffffffeffdffffffff9ff ffffffbdfffffffffffffffffffffffffffbff77ffc007ffffffefffffbd fffff9ffffffffffbfffdfffefdfffffffefffffff9fffffffffdffbffff edfefffefffdffdefffdfff7edffffffffff7fffdffdffdffffffddfffff ff7fdffffffff9ffffffffbdfffffffffffffffffffffffffffbff7fffc0 07ffffffefffffbdfffff9ffffffffff7fffdfffdfdfffffffdfffffff5f ffffffffdff7ffffedfdfffefffdffdefffdfff7edffffffffff7fffdffd ffdffffffddfffffff7fdffffffff9ffffffffbdffffffffffffffffffff fffffffbff8fffc007ffc7ffefffffbbfffffbffffffffff7fffefffdfef ffffffdfffffff6fffffffffeff7ffffebfdfffefffbffdefffbfff7ebff ffffffff7fffeffdffeffffffdefffffff7feffffffffbffffffffbbffff fffffffffffffffffffffffbfff7ffc007ffbbffefffff7bfffff3ffffff ffff7fffefffdfefffffffdfffffff6fffffffffeff7fffff3fdffff7ffb ffdf7ffbfff7f3ffffffffff7fffeffdffeffffffdefffffff7fefffffff f3ffffffff7bfffffffffffffffffffffffffffbff77ffc007ffbbffefff ff77fffff7ffffffffff7ffff7ffdff7ffffffdfffffff77fffffffff7f7 fffff7fdffff7ff7ffdf7ff7fff7f7ffffffffff7ffff7fdfff7fffffdf7 ffffff7ff7fffffff7ffffffff77fffffffffffffffffffffffffffbff8f ffc007ffc3ffe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007fffbffefffff77effff3ffffffffff7ffffbff dff7ffffefdfffffff77ffffeffffbf7fffffbfdffff7ff7efdf7ff7eff7 fbffffffffff7ffffbfdfff7ffffedf7ffffef7ffbfffffff3ffffffff77 effffffffffffffffffffffffffbffffffc007fff7ffefffff6fdffff5ff ffffffff7ffffdffdffbffffdfdfffffff7bffffdffffdf7fffffdfdffff 7fefdfdf7fefdff7fdffffffffff7ffffdfdfffbffffddfbffffdf7ffdff fffff5ffffffff6fdffffffffffffffffffffffffffbffffffc007ffcfff effffeefdffff5ffffffffff7ffffdffdffbffffdfdfffffff7bffffdfff fdf7fffffdfdffffbfefdfdfbfefdff7fdffffffffff7ffffdfdfffbffff ddfbffffdf7ffdfffffff5fffffffeefdffffffffffffffffffffffffffb ffffffc007ffffffeffffedfbffff6ffffffffff7ffffeffdffdffffbfdf ffffff7dffffbffffef7fffffefdffffbfdfbfdfbfdfbff7feffffffffff 7ffffefdfffdffffbdfdffffbf7ffefffffff6fffffffedfbfffffffffff fffffffffffffffbffffffc007ffffffeffffedf7ffff77fffffffff7fff ff7fdffdffff7fdfffffff7dffff7fffff77ffffff7dffffbfdf7fefbfdf 7ffbff7fffffffffbfffff7efffdffff7efdffff7fbfff7ffffffb7fffff fedf7ffffffffffffffffffffffffffbff8fffc007ffffffeffffedeffff efbffffffffeffffffbfbffdfffeffbffffffefdfffeffffffafffffffbb ffffbfdeffefbfdefffbffbfffffffffbfffffbefffdfffefefdfffeffbf ffbffffffbbffffffedefffffffffffffffffffffffffffbff77ffc007ff ffffeffffebdffffefdffffffffeffffffdfbffefffdffbffffffefefffd ffffffcfffffffdbffffbfbdffefbfbdfffbffdfffffffffbfffffdefffe fffdfefefffdffbfffdffffffbdffffffebdffffffffffffffffffffffff fffbff7fffc007ffffffeffffdbdffffefdffffffffeffffffdfbffefffd ffbffffffefefffdffffffcfffffffdbffffdfbdffefdfbdfffbffdfffff ffffbfffffdefffefffdfefefffdffbfffdffffffbdffffffdbdffffffff fffffffffffffffffffbff8fffc007ffffffeffffd7bffffefeffffffffe ffffffefbfff7ffbffbffffffeff7ffbffffffefffffffebffffdf7bffef df7bfffbffefffffffffbfffffeeffff7ffbfeff7ffbffbfffeffffffbef fffffd7bfffffffffffffffffffffffffffbfff7ffc007ffffffeffffd77 ffffeff7fffffffefffffff7bfff7ff7ffbffffffeff7ff7ffffffe7ffff fff3ffffdf77ffefdf77fffbfff7ffffffffbffffff6ffff7ff7feff7ff7 ffbffff7fffffbf7fffffd77fffffffffffffffffffffffffffbff77ffc0 07ffffffeffffd6fffffeffbfffffffefffffffbbfff7fefffbffffffeff 7fefffffffebfffffffbffffdf6fffefdf6ffffbfffbffffffffbffffffa ffff7feffeff7fefffbffffbfffffbfbfffffd6fffffffffffffffffffff fffffffbff8fffc007ffffffeffffcdfffffeffdfffffffefffffffdbfff bfdfffbffffffeffbfdfffffffedfffffff9ffffdedfffefdedffffbfffd ffffffffbffffffcffffbfdffeffbfdfffbffffdfffffbfdfffffcdfffff fffffffffffffffffffffffbffffffc007ffffffeffffadfffffeffdffff fffefffffffdbfffbfdfffbffffffeffbfdfffffffedfffffff9ffffeedf ffefeedffffbfffdffffffffbffffffcffffbfdffeffbfdfffbffffdffff fbfdfffffadffffffffffffffffffffffffffffbffffffc007ffffffefff f9bfffffeffefffffffefffffffebfffdfbfffbffffffeffdfbfffffffee fffffffaffffedbfffefedbffffbfffeffffffffbffffffeffffdfbffeff dfbfffbffffefffffbfefffff9bffffffffffffffffffffffffffffbffff ffc007ffffffeffff97fffffefff7ffffffeffffffff3fffdf7fffbfffff feffdf7fffffffef7ffffffb7fffed7ffff7ed7ffffdffff7fffffffdfff ffff7fffdf7fff7fdf7fffdfffff7ffffdff7ffff97fffffffffffffffff fffffffffffbffffffc007ffffffeffff8ffffffdfffbffffffdffffffff 3fffdeffff7ffffffdffdeffffffffdfbffffff7bfffecfffff7ecfffffd ffffbfffffffdfffffff3fffdeffff7fdeffffdfffffbffffdffbffff8ff fffffffffffffffffffffffffffbffffffc007ffc7ffeffff9ffffffdfff dffffffdffffffff5fffedffff7ffffffdffedffffffffdfdffffff7dfff e9fffff7e9fffffdffffdfffffffdfffffff5fffedffff7fedffffdfffff dffffdffdffff9fffffffffffffffffffffffffffffbff8fffc007ffbbff effff1ffffffdfffdffffffdffffffff5fffedffff7ffffffdffedffffff ffdfdffffff7dffff1fffff7f1fffffdffffdfffffffdfffffff5fffedff ff7fedffffdfffffdffffdffdffff1fffffffffffffffffffffffffffffb ff77ffc007ffbbffeffff3ffffffdfffeffffffdffffffff6ffff3ffff7f fffffdfff3ffffffffdfeffffff7effff3fffff7f3fffffdffffefffffff dfffffff6ffff3ffff7ff3ffffdfffffeffffdffeffff3ffffffffffffff fffffffffffffffbff77ffc007ffc7ffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000007fffffffffbff77ffc007ffbbffeffff7ffffff dffffffffffdffffffff7fffffffff7ffffffdffffffffffffdffffffff7 fffffffffff7fffffffdffffffffffffdfffffff7fffffffff7fffffffdf fffffffffdfffffff7fffffffffffffffffffffffffffffbff77ffc007ff bbffeffff7ffffffdffffffffffdffffffff7fffffffff7ffffffdffffff ffffffdffffffff7fffffffffff7fffffffdffffffffffffdfffffff7fff ffffff7fffffffdffffffffffdfffffff7ffffffffffffffffffffffffff fffbff77ffc007ffc7ffeffff7ffffffdffffffffffdffffffff7fffffff ff7ffffffdffffffffffffdffffffff7fffffffffff7fffffffdffffffff ffffdfffffff7fffffffff7fffffffdffffffffffdfffffff7ffffffffff fffffffffffffffffffbff8fffc007ffffffeffff7ffffffdffffffffffd ffffffff7fffffffff7ffffffdffffffffffffdffffffff7fffffffffff7 fffffffdffffffffffffdfffffff7fffffffff7fffffffdffffffffffdff fffff7fffffffffffffffffffffffffffffbffffffc007ffffffeffff7ff ffffdffffffffffdffffffff7fffffffff7ffffffdffffffffffffdfffff fff7fffffffffffbfffffffeffffffffffffefffffffbfffffffffbfffff ffeffffffffffefffffffbfffffffffffffffffffffffffffffbffffffc0 07ffffffefffefffffffbffffffffffbfffffffefffffffffefffffffbff ffffffffffbfffffffeffffffffffffbfffffffeffffffffffffefffffff bfffffffffbfffffffeffffffffffefffffffbffffffffffffffffffffff fffffffbffffffc007ffffffefffefffffffbffffffffffbfffffffeffff fffffefffffffbffffffffffffbfffffffeffffffffffffbfffffffeffff ffffffffefffffffbfffffffffbfffffffeffffffffffefffffffbffffff fffffffffffffffffffffffbffffffc007ffffffefffefffffffbfffffff fffbfffffffefffffffffefffffffbffffffffffffbfffffffefffffffff fffbfffffffeffffffffffffefffffffbfffffffffbfffffffefffffffff fefffffffbfffffffffffffffffffffffffffffbffffffc007ffffffefff efffffffbffffffffffbfffffffefffffffffefffffffbffffffffffffbf ffffffeffffffffffffbfffffffeffffffffffffefffffffbfffffffffbf ffffffeffffffffffefffffffbfffffffffffffffffffffffffffffbff0f ffc007ffffffefffefffffffbffffffffffbfffffffefffffffffeffffff fbffffffffffffbfffffffeffffffffffffbfffffffeffffffffffffefff ffffbfffffffffbfffffffeffffffffffefffffffbffffffffffffffffff fffffffffffbff77ffc007ffffffefffefffffffbffffffffffbfffffffe fffffffffefffffffbffffffffffffbfffffffeffffffffffffbfffffffe ffffffffffffefffffffbfffffffffbfffffffeffffffffffefffffffbff fffffffffffffffffffffffffffbff77ffc007ffffffefffefffffffbfff fffffffbfffffffefffffffffefffffffbffffffffffffbfffffffefffff fffffffbfffffffeffffffffffffefffffffbfffffffffbfffffffefffff fffffefffffffbfffffffffffffffffffffffffffffbff0fffc007ffffff efffefffffffbffffffffffbfffffffefffffffffefffffffbffffffffff ffbfffffffeffffffffffffbfffffffeffffffffffffefffffffbfffffff ffbfffffffeffffffffffefffffffbfffffffffffffffffffffffffffffb ff5fffc007ffffffefffefffffffbffffffffffbfffffffefffffffffeff fffffbffffffffffffbfffffffeffffffffffffbfffffffeffffffffffff efffffffbfffffffffbfffffffeffffffffffefffffffbffffffffffffff fffffffffffffffbff6fffc007ffffffefffefffffffbffffffffffbffff fffefffffffffefffffffbffffffffffffbfffffffeffffffffffffdffff ffff7ffffffffffff7ffffffdfffffffffdffffffff7ffffffffff7fffff fdfffffffffffffffffffffffffffffbff77ffc007ffffffefffdfffffff 7ffffffffff7fffffffdfffffffffdfffffff7ffffffffffff7fffffffdf fffffffffffdffffffff7ffffffffffff7ffffffdfffffffffdffffffff7 ffffffffff7ffffffdfffffffffffffffffffffffffffffbffffffc007ff 83ffefffdfffffff7ffffffffff7fffffffdfffffffffdfffffff7ffffff ffffff7fffffffdffffffffffffdffffffff7ffffffffffff7ffffffdfff ffffffdffffffff7ffffffffff7ffffffdffffffffffffffffffffffffff fffbffffffc007fffbffefffdfffffff7ffffffffff7fffffffdffffffff fdfffffff7ffffffffffff7fffffffdffffffffffffdffffffff7fffffff fffff7ffffffdfffffffffdffffffff7ffffffffff7ffffffdffffffffff fffffffffffffffffffbffffffc007fff7ffefffdfffffff7ffffffffff7 fffffffdfffffffffdfffffff7ffffffffffff7fffffffdffffffffffffd ffffffff7ffffffffffff7ffffffdfffffffffdffffffff7ffffffffff7f fffffdfffffffffffffffffffffffffffffbffffffc007fff7ffe0000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000007fffffffffbffffffc0 07ffefffefffdfffffff6ffff3fffff7f3fffffdffffeffffdffeffff3ff ffffffffff7ff3ffffdfffffeffffffdffffffff6ffff3fffffff3ffffff dfffefffffdffffffff7effff3ffff7ffffffdfff3ffffffffffefffffff fffffffbffffffc007ffefffefffdfffffff5fffedfffff7f1fffffdffff dffffdffdffff1ffffffffffff7fedffffdfffffdffffffdffffffff5fff edfffffff1ffffffdfffdfffffdffffffff7dffff1ffff7ffffffdffedff ffffffffdffffffffffffffbffffffc007ffefffefffdfffffff5fffedff fff7e9fffffdffffdffffdffdffff9ffffffffffff7fedffffdfffffdfff fffdffffffff5fffedfffffff9ffffffdfffdfffffdffffffff7dfffe9ff ff7ffffffdffedffffffffffdffffffffffffffbffffffc007ffffffefff dfffffff3fffdefffff7ecfffffdffffbffffdffbffff8ffffffffffff7f deffffdfffffbffffffdffffffff3fffdefffffff8ffffffdfffbfffffdf fffffff7bfffecffff7ffffffdffdeffffffffffbffffffffffffffbffff ffc007ffffffefffdfffffff7fffdf7ffff7ed7ffffdffff7ffffdff7fff f97fffffffffff7fdf7fffdfffff7ffffffeffffffff3fffdf7ffffff97f ffffefff7fffffeffffffffb7fffed7fffbffffffeffdf7fffffffff7fff fffffffffffbffffffc007ffffffefffbffffffeffffdfbfffefedbffffb fffefffffbfefffff9bffffffffffeffdfbfffbffffefffffffefffffffe bfffdfbffffff9bfffffeffeffffffeffffffffaffffedbfffbffffffeff dfbffffffffefffffffffffffffbffffffc007ffffffefffbffffffcffff bfdfffefeedffffbfffdfffffbfdfffffadffffffffffeffbfdfffbffffd fffffffefffffffdbfffbfdffffffadfffffeffdffffffeffffffff9ffff eedfffbffffffeffbfdffffffffdfffffffffffffffbffffffc007ffffff efffbffffffcffffbfdfffefdedffffbfffdfffffbfdfffffcdfffffffff feffbfdfffbffffdfffffffefffffffdbfffbfdffffffcdfffffeffdffff ffeffffffff9ffffdedfffbffffffeffbfdffffffffdfffffffffffffffb ffffffc007ffffffefffbffffffaffff7fefffefdf6ffffbfffbfffffbfb fffffd6ffffffffffeff7fefffbffffbfffffffefffffffbbfff7fefffff fd6fffffeffbffffffeffffffffbffffdf6fffbffffffeff7feffffffffb fffffffffffffffbffffffc007ffffffefffbffffff6ffff7ff7ffefdf77 fffbfff7fffffbf7fffffd77fffffffffeff7ff7ffbffff7fffffffeffff fff7bfff7ff7fffffd77ffffeff7ffffffeffffffff3ffffdf77ffbfffff feff7ff7fffffff7fffffffffffffffbffffffc007ffffffefffbfffffee ffff7ffbffefdf7bfffbffeffffffbeffffffd7bfffffffffeff7ffbffbf ffeffffffffeffffffefbfff7ffbfffffd7bffffefefffffffefffffffeb ffffdf7bffbffffffeff7ffbffffffeffffffffffffffffbffffffc007ff ffffefffbfffffdefffefffdffefdfbdfffbffdffffffbdffffffdbdffff fffffefefffdffbfffdffffffffeffffffdfbffefffdfffffdbdffffefdf ffffffefffffffdbffffdfbdffbffffffefefffdffffffdfffffffffffff fffbffffffc007ffffffefffbfffffdefffefffdffefbfbdfffbffdfffff fbdffffffebdfffffffffefefffdffbfffdffffffffeffffffdfbffefffd fffffebdffffefdfffffffefffffffdbffffbfbdffbffffffefefffdffff ffdffffffffffffffffbff77ffc007ffffffefffbfffffbefffdfffeffef bfdefffbffbffffffbbffffffedefffffffffefdfffeffbfffbffffffffe ffffffbfbffdfffefffffedeffffefbfffffffefffffffbbffffbfdeffbf fffffefdfffeffffffbffffffffffffffffbff77ffc007ffffffefffbfff ff7efffdffff7fefbfdf7ffbff7ffffffb7ffffffedf7ffffffffefdffff 7fbfff7fffffffff7fffff7fdffdffff7ffffedf7ffff77ffffffff7ffff ff7dffffbfdf7fdfffffff7dffff7fffff7ffffffffffffffffbff37ffc0 07ffffffefff7ffffefdfffdffffbfdfbfdfbff7fefffffff6fffffffedf bffffffffdfdffffbf7ffeffffffffff7ffffeffdffdffffbffffedfbfff f6fffffffff7fffffefdffffbfdfbfdfffffff7dffffbffffeffffffffff fffffffbff57ffc007ffe7ffefff7ffffdfdfffbffffdfdfbfefdff7fdff fffff5fffffffeefdffffffffdfbffffdf7ffdffffffffff7ffffdffdffb ffffdffffeefdffff5fffffffff7fffffdfdffffbfefdfdfffffff7bffff dffffdfffffffffffffffffbff67ffc007ffdfffefff7ffffdfdfffbffff dfdf7fefdff7fdfffffff5ffffffff6fdffffffffdfbffffdf7ffdffffff ffff7ffffdffdffbffffdfffff6fdffff5fffffffff7fffffdfdffff7fef dfdfffffff7bffffdffffdfffffffffffffffffbff77ffc007ffbfffefff 7ffffbfdfff7ffffefdf7ff7eff7fbfffffff3ffffffff77effffffffdf7 ffffef7ffbffffffffff7ffffbffdff7ffffefffff77effff3fffffffff7 fffffbfdffff7ff7efdfffffff77ffffeffffbfffffffffffffffffbff77 ffc007ff87ffe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007ffbbffefff7ffff7fdfff7ffffffdf7ff7fff7 f7fffffff7ffffffff77fffffffffdf7ffffff7ff7ffffffffff7ffff7ff dff7ffffffffff77fffff7fffffffff7fffff7fdffff7ff7ffdfffffff77 fffffffff7fffffffffffffffffbffffffc007ffbbffefff7fffeffdffef ffffffdf7ffbfff7f3fffffff3ffffffff7bfffffffffdefffffff7fefff ffffffff7fffefffdfefffffffffff7bfffff3fffffffff7fffff3fdffff 7ffbffdfffffff6fffffffffeffffffffffffffffffbffffffc007ffc7ff efff7fffeffdffefffffffdefffbfff7ebfffffffbffffffffbbffffffff fdefffffff7fefffffffffff7fffefffdfefffffffffffbbfffffbffffff fff7ffffebfdfffefffbffdfffffff6fffffffffeffffffffffffffffffb ffffffc007ffffffefff7fffdffdffdfffffffdefffdfff7edfffffff9ff ffffffbdfffffffffddfffffff7fdfffffffffff7fffdfffdfdfffffffff ffbdfffff9fffffffff7ffffedfdfffefffdffdfffffff5fffffffffdfff fffffffffffffffbffffffc007ffffffefff7fffdffdffdfffffffdefffd fff7edfffffff9ffffffffbdfffffffffddfffffff7fdfffffffffffbfff dfffefdfffffffffffbdfffff9fffffffffbffffedfefffefffdffefffff ff9fffffffffdffffffffffffffffffbff77ffc007ffffffeffeffffdffb ffdfffffffbefffdffefedfffffff9ffffffffbdfffffffffbdffffffeff dfffffffffffbfffdfffefdfffffffffffbdfffff9fffffffffbffffedfe fffefffdffefffffff9fffffffffdffffffffffffffffffbff77ffc007ff ffffeffeffffbffbffbfffffffbefffeffefeefffffffaffffffffbeffff fffffbbffffffeffbfffffffffffbfffbfffefbfffffffffffbefffffaff fffffffbffffeefefffefffeffefffffffbfffffffffbfffffffffffffff fffbff77ffc007ffffffeffeffffbffbffbfffffffbdfffeffefdeffffff fcffffffffdefffffffffbbffffffeffbfffffffffffbfffbfffefbfffff ffffffdefffffcfffffffffbffffdefefffdfffeffefffffffbfffffffff bffffffffffffffffffbff77ffc007ffffffeffeffff7ffbff7fffffffbd ffff7fefdf7ffffffd7fffffffdf7ffffffffb7ffffffeff7fffffffffff bfff7fffef7fffffffffffdf7ffffd7ffffffffbffffdf7efffdffff7fef ffffff3fffffffff7ffffffffffffffffffbff77ffc007ffffffeffeffff 7ffbff7fffffffbdffff7fefdf7ffffffd7fffffffdf7ffffffffb7fffff feff7fffffffffffbfff7fffef7fffffffffffdf7ffffd7ffffffffbffff df7efffdffff7fefffffff3fffffffff7ffffffffffffffffffbff77ffc0 07ffffffeffeffff7ffbff7fffffffbdffff7fefdf7ffffffd7fffffffdf 7ffffffffb7ffffffeff7fffffffffffbfff7fffef7fffffffffffdf7fff fd7ffffffffbffffdf7efffdffff7fefffffff3fffffffff7fffffffffff fffffffbff8fffc007ffffffeffefffefffbfeffffffffbdffffbfefdfbf fffffdbfffffffdfbffffffffafffffffefeffffffffffffbffeffffeeff ffffffffffdfbffffdbffffffffbffffdfbefffdffffbfeffffffebfffff fffefffffffffffffffffffbffffffc007ffffffeffefffefffbfeffffff ffbbffffbfefbfbffffffebfffffffefbffffffffafffffffefeffffffff ffffbffeffffeeffffffffffffefbffffebffffffffbffffbfbefffbffff bfeffffffebffffffffefffffffffffffffffffbffffffc007ffffffeffe fffdfffbfdffffffffbbffffdfefbfdffffffedfffffffefdffffffff9ff fffffefdffffffffffffbffdffffedffffffffffffefdffffedffffffffb ffffbfdefffbffffdfeffffffdbffffffffdfffffffffffffffffffbffff ffc007ffffffeffefffdfffbfdffffffffbbffffdfefbfdffffffedfffff ffefdffffffff9fffffffefdffffffffffffdffdfffff5ffffffffffffef dffffedffffffffdffffbfdf7ffbffffdff7fffffddffffffffdffffffff fffffffffffbffffffc007ffffffeffdfffdfff7fdffffffff7bffffdfdf bfdffffffedfffffffefdffffffff5fffffffdfdffffffffffffdffdffff f5ffffffffffffefdffffedffffffffdffffbfdf7ffbffffdff7fffffddf fffffffdfffffffffffffffffffbffffffc007ff83ffeffdfffbfff7fbff ffffff7bffffefdfbfeffffffeefffffffefeffffffff3fffffffdfbffff ffffffffdffbfffff3ffffffffffffefeffffeeffffffffdffffbfef7ffb ffffeff7fffffbdffffffffbfffffffffffffffffffbff77ffc007ffbfff effdfffbfff7fbffffffff77ffffefdf7fefffffff6ffffffff7efffffff f3fffffffdfbffffffffffffdffbfffff3fffffffffffff7efffff6fffff fffdffff7fef7ff7ffffeff7fffffbdffffffffbfffffffffffffffffffb ff27ffc007ff87ffeffdfff7fff7f7ffffffff77fffff7df7ff7ffffff77 fffffff7f7fffffff7fffffffdf7ffffffffffffdff7fffff7ffffffffff fff7f7ffff77fffffffdffff7ff77ff7fffff7f7fffff7dffffffff7ffff fffffffffffffffbff57ffc007fffbffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000007fffffffffbff77ffc007fffbffeffdfff7eff7 f3ffffffff77fffffbdf7ff7ffffef77ffffeff7fbfffffff3fffffffdf7 efffffffffffdff7effff3fffffffffffff7fbffff77ffffeffdffff7ff7 7ff7effffbf7fffff3dffffffff7effffffffffffffffffbff77ffc007ff bbffeffdffefdff7f5ffffffff77fffffddf7ffbffffdf7bffffdff7fdff fffff5fffffffdefdfffffffffffdfefdffff5fffffffffffff7fdffff7b ffffdffdffff7ffb7ff7dffffdf7fffff5dfffffffefdfffffffffffffff fffbff77ffc007ffc7ffeffdffefdff7edffffffff6ffffffddefffbffff dfbbffffdffbfdfffffff9fffffffdefdfffffffffffdfefdffff9ffffff fffffffbfdffffbbffffdffdfffefffb7fefdffffdf7ffffeddfffffffef dffffffffffffffffffbff77ffc007ffffffeffdffdfbff7eeffffffff6f fffffedefffdffffbfbdffffbffbfefffffffafffffffddfbfffffffffff dfdfbffffafffffffffffffbfeffffbdffffbffdfffefffd7fefbffffef7 ffffeedfffffffdfbffffffffffffffffffbffffffc007ffffffeffdffdf 7ff7ef7fffffff6fffffff5efffdffff7fbdffff7ffbff7ffffffb7fffff fddf7fffffffffffefdf7ffffb7ffffffffffffbff7fffbdffff7ffefffe fffdbfef7fffff7bffffef6fffffffdf7ffffffffffffffffffbffffffc0 07ffffffeffbffdeffefefbffffffeefffffffbefffdfffeffbdfffefffb ffbffffffbbffffffbdeffffffffffffefdefffffbbffffffffffffbffbf ffbdfffefffefffefffdbfeeffffffbbffffefafffffffdeffffffffffff fffffffbffffffc007ffffffeffbffbdffefefdffffffeefffffff9efffe fffdffbefffdfffbffdffffffbdffffffbbdffffffffffffefbdfffffbdf fffffffffffbffdfffbefffdfffefffefffebfedffffffdbffffefcfffff ffbdfffffffffffffffffffbffffffc007ffffffeffbffbdffefdfdfffff fedfffffff9dfffefffdffdefffdfffdffdffffffddffffffbbdffffffff ffffefbdfffffddffffffffffffdffdfffdefffdfffefffdfffebfddffff ffdbffffdfcfffffffbdfffffffffffffffffffbffffffc007ffffffeffb ff7bffefdfeffffffedfffffffadffff7ffbffdf7ffbfffdffeffffffdef fffffb7bffffffffffffef7bfffffdeffffffffffffdffefffdf7ffbfffe fffdffff3fdbffffffebffffdfefffffff7bfffffffffffffffffffbff0f ffc007ffffffeffbff77ffefdff7fffffedfffffffb5ffff7ff7ffdf7ff7 fffdfff7fffffdf7fffffb77ffffffffffffef77fffffdf7fffffffffffd fff7ffdf7ff7fffefffdffff3fd7fffffff3ffffdfe7ffffff77ffffffff fffffffffffbff77ffc007ffffffeffbff6fffefdffbfffffedfffffffb9 ffff7fefffdf7feffffdfffbfffffdfbfffffb6fffffffffffffef6fffff fdfbfffffffffffdfffbffdf7feffffefffdffff3fcffffffffbffffdfeb ffffff6ffffffffffffffffffffbff77ffc007ffffffeffbfedfffefdffd fffffedfffffffbdffffbfdfffdfbfdffffdfffdfffffdfdfffffadfffff ffffffffeedffffffdfdfffffffffffdfffdffdfbfdffffefffdffffbfdf fffffff9ffffdfedfffffedffffffffffffffffffffbff0fffc007ffffff effbfedfffefbffdfffffebfffffffb9ffffbfdfffefbfdffffefffdffff fefdfffffadfffffffffffffeedffffffefdfffffffffffefffdffefbfdf fffefffbffffbf9ffffffff9ffffbfedfffffedffffffffffffffffffffb ff77ffc007ffffffeffbfdbfffefbffefffffebfffffffbaffffdfbfffef dfbffffefffefffffefefffff9bfffffffffffffedbffffffefeffffffff fffefffeffefdfbffffefffbffff9fbffffffffaffffbfeefffffdbfffff fffffffffffffffbff77ffc007ffffffeffbfd7fffefbfff7ffffebfffff ffbb7fffdf7fffefdf7ffffeffff7ffffeff7ffff97ffffffffffffff57f fffffeff7ffffffffffeffff7fefdf7fffff7ffbffffdf3ffffffffd7fff bff77ffffd7ffffffffffffffffffffbff0fffc007ffffffeff7fcffffdf bfffbffffdbfffffff7bbfffdeffffefdefffffeffffbffffeffbffff4ff fffffffffffff4fffffffeffbffffffffffeffffbfefdeffffff7ffbffff debffffffffdbfffbff7bffffcfffffffffffffffffffffbffffffc007ff f7ffeff7f9ffffdfbfffdffffdbfffffff7bdfffedffffefedfffffeffff dffffeffdffff1fffffffffffffff1fffffffeffdffffffffffeffffdfef edffffff7ffbffffcdbffffffffddfffbff7dffff9ffffffffffffffffff fffbffffffc007ffe7ffeff7f9ffffdf7fffdffffd7fffffff77dfffedff fff7edffffff7fffdfffff7fdffff1fffffffffffffff1ffffffff7fdfff ffffffff7fffdff7edffffff7ff7ffffcd7ffffffffddfff7ff7dffff9ff fffffffffffffffffffbffffffc007ffd7ffeff7f3ffffdf7fffeffffd7f ffffff77effff3fffff7f3ffffff7fffefffff7feffff3ffffffffffffff f3ffffffff7fefffffffffff7fffeff7f3ffffff7ff7ffffd37ffffffffd efff7ff7effff3fffffffffffffffffffffbffffffc007ffb7ffe0000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000007fffffffffbffffffc0 07ff83ffeff7f7ffffdf7ffffffffd7fffffff77fffffffffff7ffffffff 7fffffffff7ffffff7fffffffffffffff7ffffffff7fffffffffffff7fff fff7ffffffff7ff7ffffdf7ffffffffdffff7ff7fffff7ffffffffffffff fffffffbff07ffc007fff7ffeff7f7ffffdf7ffffffffd7fffffff77ffff fffffff7ffffffff7fffffffff7ffffff7fffffffffffffff7ffffffff7f ffffffffffff7ffffff7ffffffff7ff7ffffdf7ffffffffdffff7ff7ffff f7fffffffffffffffffffffbff7fffc007fff7ffeff7efffffdeffffffff fcffffffff6ffffffffffffbffffffffbfffffffffbffffffbffffffffff fffffbffffffffbfffffffffffffbffffffbffffffff7fefffffdeffffff fffdfffefff7ffffeffffffffffffffffffffffbff7fffc007ffffffeff7 efffffdefffffffffcffffffff6ffffffffffffbffffffffbfffffffffbf fffffbfffffffffffffffbffffffffbfffffffffffffbffffffbffffffff 7fefffffdefffffffffdfffefff7ffffeffffffffffffffffffffffbff0f ffc007ffffffeff7efffffdefffffffffcffffffff6ffffffffffffbffff ffffbfffffffffbffffffbfffffffffffffffbffffffffbfffffffffffff bffffffbffffffffbfefffffeefffffffffefffefffbffffefffffffffff fffffffffffbff7fffc007ffffffefefefffffbefffffffffafffffffeef fffffffffffbffffffffbfffffffffbffffffbfffffffffffffffbffffff ffbfffffffffffffbffffffbffffffffbfefffffeefffffffffefffefffb ffffeffffffffffffffffffffffbff7fffc007ffffffefefefffffbeffff fffffafffffffeeffffffffffffbffffffffbfffffffffbffffffbffffff fffffffffbffffffffbfffffffffffffbffffffbffffffffbfefffffeeff fffffffefffefffbffffeffffffffffffffffffffffbff07ffc007ffffff efefdfffffbdfffffffff9fffffffedffffffffffffdffffffffdfffffff ffdffffffdfffffffffffffffdffffffffdfffffffffffffdffffffdffff ffffbfdfffffedfffffffffefffdfffbffffdffffffffffffffffffffffb ffffffc007ffffffefefdfffffbdfffffffff9fffffffedffffffffffffd ffffffffdfffffffffdffffffdfffffffffffffffdffffffffdfffffffff ffffdffffffdffffffffbfdfffffedfffffffffefffdfffbffffdfffffff fffffffffffffffbffffffc007ffffffefefdfffffbdfffffffff9ffffff fedffffffffffffdffffffffdfffffffffdffffffdfffffffffffffffdff ffffffdfffffffffffffdffffffdffffffffbfdfffffedfffffffffefffd fffbffffdffffffffffffffffffffffbffffffc007ffffffefefdfffffbd fffffffff9fffffffedffffffffffffdffffffffdfffffffffdffffffdff fffffffffffffdffffffffdfffffffffffffdffffffdffffffffbfdfffff edfffffffffefffdfffbffffdffffffffffffffffffffffbffffffc007ff ffffefefdfffffbdfffffffff9fffffffedffffffffffffdffffffffdfff ffffffdffffffdfffffffffffffffdffffffffdfffffffffffffdffffffd ffffffffbfdfffffedfffffffffefffdfffbffffdfffffffffffffffffff fffbffffffc007ffffffefefbfffffbbfffffffffbfffffffebfffffffff fffeffffffffefffffffffeffffffefffffffffffffffeffffffffefffff ffffffffeffffffeffffffffbfbfffffebfffffffffefffbfffbffffbfff fffffffffffffffffffbff0fffc007ffffffefefbfffffbbfffffffffbff fffffebffffffffffffeffffffffefffffffffeffffffeffffffffffffff feffffffffefffffffffffffeffffffeffffffffbfbfffffebfffffffffe fffbfffbffffbffffffffffffffffffffffbff77ffc007ffffffefefbfff ffbbfffffffffbfffffffebffffffffffffeffffffffefffffffffefffff fefffffffffffffffeffffffffefffffffffffffeffffffeffffffffdfbf fffff3ffffffffff7ffbfffdffffbffffffffffffffffffffffbff77ffc0 07ffffffefdfbfffff7bfffffffff3fffffffdbffffffffffffeffffffff efffffffffeffffffefffffffffffffffeffffffffefffffffffffffefff fffeffffffffdfbffffff3ffffffffff7ffbfffdffffbfffffffffffffff fffffffbff0fffc007ffc7ffefdfbfffff7bfffffffff3fffffffdbfffff fffffffeffffffffefffffffffeffffffefffffffffffffffeffffffffef ffffffffffffeffffffeffffffffdfbffffff3ffffffffff7ffbfffdffff bffffffffffffffffffffffbff5fffc007ffbbffefdf7fffff77ffffffff f7fffffffd7fffffffffffff7ffffffff7fffffffff7ffffff7fffffffff ffffff7ffffffff7fffffffffffff7ffffff7fffffffdf7ffffff7ffffff ffff7ff7fffdffff7ffffffffffffffffffffffbff6fffc007fffbffefdf 7fffff77fffffffff7fffffffd7fffffffffffff7ffffffff7fffffffff7 ffffff7fffffffffffffff7ffffffff7fffffffffffff7ffffff7fffffff df7ffffff7ffffffffff7ff7fffdffff7ffffffffffffffffffffffbff77 ffc007ffe7ffe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007fffbffefdf7fffef77f3fffffff3fffffffd7f efffffffffff7fffeffff3fffffffff7fffff37fffffffffefffff7fffff fff7effff3fffffff3ffffff7fffefffdf7feffff3ffffffffff7ff7f3fd ffff7fffeffffffffffffffffffbffffffc007ffbbffefdf7fffdf77edff fffff9fffffffd7fdfffffffffff7fffdffff9fffffffff7ffffed7fffff ffffdfffff7ffffffff7dfffedfffffff9ffffff7fffdfffdf7fdffff9ff ffffffff7ff7edfdffff7fffdffffffffffffffffffbffffffc007ffc7ff efdeffffdf6fedfffffff9fffffffcffdfffffffffffbfffdffff9ffffff fffbffffedbfffffffffdfffffbffffffffbdfffedfffffff9ffffffbfff dfffdeffdffff9ffffffffff7fefedfdfffeffffdffffffffffffffffffb ffffffc007ffffffefdeffffbf6fdefffffffcfffffffcffbfffffffffff bfffbffffcfffffffffbffffdebfffffffffbfffffbffffffffbbfffdeff fffffcffffffbfffbfffdeffbffffcffffffffff7fefdefdfffeffffbfff fffffffffffffffbffffffc007ffffffefdeffff7f6fdf7ffffffd7fffff fcff7fffffffffffbfff7ffffd7ffffffffbffffdf3fffffffff7fffffbf fffffffb7fffdf7ffffffd7fffffbfff7fffeeff7ffffd7fffffffffbfef df7efffeffff7ffffffffffffffffffbffffffc007ffffffefbefffefeef dfbffffffdbffffffafeffffffffffffbffefffffdbffffffffbffffdfbf fffffffeffffffbffffffffaffffdfbffffffdbfffffbffeffffeefeffff fdbfffffffffbfefdfbefffefffefffffffffffffffffffbffffffc007ff ffffefbefffdfeefbfdffffffedffffffafdffffffffffffbffdfffffedf fffffffbffffbf9ffffffffdffffffbffffffff9ffffbfdffffffedfffff bffdffffeefdfffffedfffffffffbfefbfdefffefffdffffffffffffffff fffbffffffc007ffffffefbdfffdfedfbfdffffffedffffff9fdffffffff ffffdffdfffffedffffffffdffffbfdffffffffdffffffdffffffffdffff bfdffffffedfffffdffdffffedfdfffffedfffffffffbfdfbfdefffdfffd fffffffffffffffffffbffffffc007ffffffefbdfffbfedf7fefffffff6f fffff9fbffffffffffffdffbffffff6ffffffffdffff7fcffffffffbffff ffdffffffff9ffff7fefffffff6fffffdffbffffedfbffffff6fffffffff bfdf7feefffdfffbfffffffffffffffffffbffffffc007ffffffefbdfff7 fedf7ff7ffffff77fffff9f7ffffffffffffdff7ffffff77fffffffdffff 7fd7fffffff7ffffffdffffffff5ffff7ff7ffffff77ffffdff7ffffedf7 ffffff77ffffffffbfdf7ff6fffdfff7fffffffffffffffffffbffffffc0 07ffffffefbdffeffedf7ffbffffff7bfffff9efffffffffffffdfefffff ff7bfffffffdffff7fdbffffffefffffffdfffffffedffff7ffbffffff7b ffffdfefffffedefffffff7bffffffffbfdf7ffafffdffefffffffffffff fffffffbffffffc007ffffffefbdffdffedefffdffffffbdfffff9dfffff ffffffffdfdfffffffbdfffffffdfffeffddffffffdfffffffdfffffffdd fffefffdffffffbdffffdfdfffffeddfffffffbdffffffffbfdefffcfffd ffdffffffffffffffffffffbffffffc007ffffffefbbffdffebefffdffff ffbdfffffbdfffffffffffffefdfffffffbdfffffffefffeffedffffffdf ffffffefffffffdefffefffdffffffbdffffefdfffffebdfffffffbdffff ffffbfbefffcfffbffdffffffffffffffffffffbffffffc007ffffffefbb ffbffebdfffeffffffdefffffbbfffffffffffffefbfffffffdefffffffe fffdffeeffffffbfffffffefffffffbefffdfffeffffffdeffffefbfffff ebbfffffffdeffffffffbfbdfffefffbffbffffffffffffffffffffbffff ffc007ffffffefbbff7ffebdffff7fffffdf7ffffb7fffffffffffffef7f ffffffdf7ffffffefffdffef7fffff7fffffffefffffff7efffdffff7fff ffdf7fffef7ffffff37fffffffdf7fffffffdfbdffff7ffbff7fffffffff fffffffffffbffffffc007ffffffef7bfefffdbdffffbfffffdfbffff2ff ffffffffffffeeffffffffdfbffffffefffdffefbffffeffffffffefffff fefefffdffffbfffffdfbfffeefffffff2ffffffffdfbfffffffdfbdffff 3ffbfefffffffffffffffffffffbffffffc007ffc7ffef7bfdfffdbbffff dfffffefdffff1ffffffffffffffedffffffffefdffffffefffbffefdfff fdffffffffeffffffdfefffbffffdfffffefdfffedfffffff1ffffffffef dfffffffdfbbffff5ffbfdfffffffffffffffffffffbffffffc007ffbbff ef77fdfffd7bffffdfffffefdffff5fffffffffffffff5ffffffffefdfff ffff7ffbfff7dffffdfffffffff7fffffdff7ffbffffdfffffefdffff5ff fffff5ffffffffefdfffffffdf7bffff5ff7fdfffffffffffffffffffffb ffffffc007fffbffef77fbfffd77ffffeffffff7effff3ffffffffffffff f3fffffffff7efffffff7ff7fff7effffbfffffffff7fffffbff7ff7ffff effffff7effff3fffffff3fffffffff7efffffffdf77ffff6ff7fbffffff fffffffffffffffbffffffc007fff7ffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000007fffffffffbffffffc007ffefffef77f7fffd77 fffffffffff7fffff7fffffffffffffff7fffffffff7ffffffff7ff7fff7 fffff7fffffffff7fffff7ff7ff7fffffffffff7fffff7fffffff7ffffff fff7ffffffffdf77ffff7ff7f7fffffffffffffffffffffbffffffc007ff dfffef77effffd6ffffffffffffbfffffbfffffffffffffffbfffffffffb ffffffff7feffff7ffffeffffffffff7ffffefff7feffffffffffffbffff fbfffffffbfffffffffbffffffffdf6fffff7ff7efffffffffffffffffff fffbffffffc007ff83ffef6feffffceffffffffffffbfffffbffffffffff fffffbfffffffffbffffffffbfeffffbffffeffffffffffbffffefffbfef fffffffffffbfffffbfffffffbfffffffffbffffffffdeefffff7fefefff fffffffffffffffffffbffffffc007ffffffef6fdffffcdffffffffffffd fffffdfffffffffffffffdfffffffffdffffffffbfdffffbffffdfffffff fffbffffdfffbfdffffffffffffdfffffdfffffffdfffffffffdffffffff dedfffff7fefdffffffffffffffffffffffbffffffc007ffffffef6fdfff fcdffffffffffffdfffffdfffffffffffffffdfffffffffdffffffffbfdf fffbffffdffffffffffbffffdfffbfdffffffffffffdfffffdfffffffdff fffffffdffffffffeedfffffbfefdffffffffffffffffffffffbffffffc0 07ffffffeeefdffffadffffffffffffdfffffdfffffffffffffffdffffff fffdffffffffbfdffffbffffdffffffffffbffffdfffbfdffffffffffffd fffffdfffffffdfffffffffdffffffffeedfffffbfefdfffffffffffffff fffffffbffffffc007ffffffeeefbffffabffffffffffffefffffeffffff fffffffffefffffffffeffffffffbfbffffbffffbffffffffffbffffbfff bfbffffffffffffefffffefffffffefffffffffeffffffffeebfffffbfef bffffffffffffffffffffffbffffffc007ffffffeedfbffff9bfffffffff fffefffffefffffffffffffffefffffffffeffffffffdfbffffdffffbfff fffffffdffffbfffdfbffffffffffffefffffefffffffefffffffffeffff ffffedbfffffbfdfbffffffffffffffffffffffbffffffc007ffffffeedf 7ffff97fffffffffffff7fffff7fffffffffffffff7fffffffff7fffffff df7ffffdffff7ffffffffffdffff7fffdf7fffffffffffff7fffff7fffff ff7fffffffff7fffffffed7fffffbfdf7ffffffffffffffffffffffbffff ffc007ffffffeedf7ffff97fffffffffffff7fffff7fffffffffffffff7f ffffffff7fffffffdf7ffffdffff7ffffffffffdffff7fffdf7fffffffff ffff7fffff7fffffff7fffffffff7fffffffed7fffffbfdf7fffffffffff fffffffffffbffffffc007ffffffeedf7ffff97fffffffffffff7fffff7f ffffffffffffff7fffffffff7fffffffdf7ffffdffff7ffffffffffdffff 7fffdf7fffffffffffff7fffff7fffffff7fffffffff7fffffffed7fffff bfdf7ffffffffffffffffffffffbffffffc007ffffffeedefffff8ffffff ffffffffbfffffbfffffffffffffffbfffffffffbfffffffdefffffdfffe fffffffffffdfffeffffdeffffffffffffffbfffffbfffffffbfffffffff bfffffffecffffffbfdefffffffffffffffffffffffbffffffc007ffffff eebefffffaffffffffffffffbfffffbfffffffffffffffbfffffffffbfff ffffeefffffefffefffffffffffefffeffffeeffffffffffffffbfffffbf ffffffbfffffffffbfffffffeaffffffbfbefffffffffffffffffffffffb ffffffc007ffffffeebdfffff9ffffffffffffffdfffffdfffffffffffff ffdfffffffffdfffffffedfffffefffdfffffffffffefffdffffedffffff ffffffffdfffffdfffffffdfffffffffdfffffffe9ffffffbfbdffffffff fffffffffffffffbffffffc007ffffffeebdfffff9ffffffffffffffdfff ffdfffffffffffffffdfffffffffdfffffffedfffffefffdfffffffffffe fffdffffedffffffffffffffdfffffdfffffffdfffffffffdffffffff1ff ffffdfbdfffffffffffffffffffffffbffffffc007ffffffedbdfffff1ff ffffffffffffdfffffdfffffffffffffffdfffffffffdfffffffedfffffe fffdfffffffffffefffdffffedffffffffffffffdfffffdfffffffdfffff ffffdffffffff1ffffffdfbdfffffffffffffffffffffffbffffffc007ff efffedbbfffff3ffffffffffffffefffffefffffffffffffffefffffffff efffffffebfffffefffbfffffffffffefffbffffebffffffffffffffefff ffefffffffefffffffffeffffffff3ffffffdfbbffffffffffffffffffff fffbffffffc007ffcfffed7bfffff3ffffffffffffffefffffefffffffff ffffffefffffffffeffffffff3ffffff7ffbffffffffffff7ffbfffff3ff ffffffffffffefffffefffffffefffffffffeffffffff3ffffffdf7bffff fffffffffffffffffffbffffffc007ffefffed77fffff7ffffffffffffff f7fffff7fffffffffffffff7fffffffff7fffffff7ffffff7ff7ffffffff ffff7ff7fffff7fffffffffffffff7fffff7fffffff7fffffffff7ffffff f7ffffffdf77fffffffffffffffffffffffbffffffc007ffefffe0000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000007fffffffffbffffffc0 07ffefffed77effffbfffffffffffffffbfffff7ffffeffffffffff7ffff effffbfffffffbffffff7ff7efffffffffff7ff7effffbffffffffffffff fbfffff7ffffeff7ffffeffffbfffffffbffffffdf77efffffffffffffff fffffffbffffffc007ffefffed6fdffffdfffffffffffffffdfffffbffff dffffffffffbffffdffffdfffffffdffffff7fefdfffffffffff7fefdfff fdfffffffffffffffdfffffbffffdffbffffdffffdfffffffdffffffdf6f dffffffffffffffffffffffbffffffc007ffc7ffecefdffffdffffffffff fffffdfffffbffffdffffffffffbffffdffffdfffffffdffffffbfefdfff ffffffffbfefdffffdfffffffffffffffdfffffbffffdffbffffdffffdff fffffdffffffdeefdffffffffffffffffffffffbffffffc007ffffffecdf bffffefffffffffffffffefffffdffffbffffffffffdffffbffffeffffff feffffffbfdfbfffffffffffbfdfbffffefffffffffffffffefffffdffff bffdffffbffffefffffffeffffffdedfbffffffffffffffffffffffbffff ffc007ffffffecdf7fffff7fffffffffffffff7ffffdffff7ffffffffffd ffff7fffff7fffffff7fffffbfdf7fffffffffffbfdf7fffff7fffffffff ffffff7ffffdffff7ffdffff7fffff7fffffff7fffffeedf7fffffffffff fffffffffffbffffffc007ffffffeadeffffffbfffffffffffffffbffffd fffefffffffffffdfffeffffffbfffffffbfffffbfdeffffffffffffbfde ffffffbfffffffffffffffbffffdfffefffdfffeffffffbfffffffbfffff eedefffffffffffffffffffffffbffffffc007ffffffeabdffffffdfffff ffffffffffdffffefffdfffffffffffefffdffffffdfffffffdfffffbfbd ffffffffffffbfbdffffffdfffffffffffffffdffffefffdfffefffdffff ffdfffffffdfffffeebdfffffffffffffffffffffffbffffffc007ffffff e9bdffffffdfffffffffffffffdffffefffdfffffffffffefffdffffffdf ffffffdfffffdfbdffffffffffffdfbdffffffdfffffffffffffffdffffe fffdfffefffdffffffdfffffffdfffffedbdfffffffffffffffffffffffb ffffffc007ffffffe97bffffffefffffffffffffffefffff7ffbffffffff ffff7ffbffffffefffffffefffffdf7bffffffffffffdf7bffffffefffff ffffffffffefffff7ffbffff7ffbffffffefffffffefffffed7bffffffff fffffffffffffffbffffffc007ffffffe977fffffff7fffffffffffffff7 ffff7ff7ffffffffffff7ff7fffffff7fffffff7ffffdf77ffffffffffff df77fffffff7fffffffffffffff7ffff7ff7ffff7ff7fffffff7fffffff7 ffffed77fffffffffffffffffffffffbffffffc007ffffffe96ffffffffb fffffffffffffffbffff7fefffffffffffff7feffffffffbfffffffbffff df6fffffffffffffdf6ffffffffbfffffffffffffffbffff7fefffff7fef fffffffbfffffffbffffed6ffffffffffffffffffffffffbffffffc007ff ffffe8dffffffffdfffffffffffffffdffffbfdfffffffffffffbfdfffff fffdfffffffdffffdedfffffffffffffdedffffffffdfffffffffffffffd ffffbfdfffffbfdffffffffdfffffffdffffecdfffffffffffffffffffff fffbffffffc007ffffffeadffffffffdfffffffffffffffdffffbfdfffff ffffffffbfdffffffffdfffffffdffffeedfffffffffffffeedffffffffd fffffffffffffffdffffbfdfffffbfdffffffffdfffffffdffffeadfffff fffffffffffffffffffbffffffc007ffffffe9bffffffffeffffffffffff fffeffffdfbfffffffffffffdfbffffffffefffffffeffffedbfffffffff ffffedbffffffffefffffffffffffffeffffdfbfffffdfbffffffffeffff fffeffffe9bffffffffffffffffffffffffbffffffc007ffffffe97fffff ffff7fffffffffffffff7fffdf7fffffffffffffdf7fffffffff7fffffff 7fffed7fffffffffffffed7fffffffff7fffffffffffffff7fffdf7fffff df7fffffffff7fffffff7ffff17ffffffffffffffffffffffffbffffffc0 07ffffffe0ffffffffffbfffffffffffffffbfffdeffffffffffffffdeff ffffffffbfffffffbfffecffffffffffffffecffffffffffbfffffffffff ffffbfffdeffffffdeffffffffffbfffffffbffff0ffffffffffffffffff fffffffbffffffc007ffc7ffe1ffffffffffdfffffffffffffffdfffedff ffffffffffffedffffffffffdfffffffdfffe9ffffffffffffffe9ffffff ffffdfffffffffffffffdfffedffffffedffffffffffdfffffffdffff1ff fffffffffffffffffffffffbffffffc007ffbbffe1ffffffffffdfffffff ffffffffdfffedffffffffffffffedffffffffffdfffffffdffff1ffffff fffffffff1ffffffffffdfffffffffffffffdfffedffffffedffffffffff dfffffffdffff1fffffffffffffffffffffffffbffffffc007ffb3ffe3ff ffffffffefffffffffffffffeffff3fffffffffffffff3ffffffffffefff ffffeffff3fffffffffffffff3ffffffffffefffffffffffffffeffff3ff fffff3ffffffffffefffffffeffff3fffffffffffffffffffffffffbffff ffc007ffabffe00000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 07fffffffffbffffffc007ff9bffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffbbffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffc7ff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffbffffffc007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffbffffffc007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffbffffffc007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbffffffc007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbffffffc007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbffffffc007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbffffffc0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbffffffc007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbffffffc007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffbffffffc007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffbffff ffc007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffbffffffc007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffbffffffc007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffbffffffc007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb ffffffc007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffbffffffc007ffffffe000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000003ffffffc007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffc007ff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffc007fffff1ffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffe0c6e83fffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffdc18ffffffc007ffffeeffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffbee4bffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffff9fd77fffffc007ffffecffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffbeeabffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffdfb77fffffc0 07ffffeaffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffbeee87fffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffdfb8ffffffc007ffffe6ffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffbeeebffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffdf777fffffc007ffffeeffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffbeeebffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffdf777fffffc007fffff1ffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffbc6e83fffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffff8f78ffff ffc007ffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffc007ffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffc007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffc007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffc007ffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffc0000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000 grestore showpage %%EndDocument @endspecial 1881 998 V 67 1000 1816 2 v 0 1140 a Fq(Figure)17 b(4:)22 b(In)o(terlea)o(ving)c(of)e(the)h(spanning)g(binomial)h(broadcast)e (trees)h(during)g(the)g(Successiv)o(e)h(Broadcasts)0 1253 y(Algorithm)e(on)f (a)g(4-cub)q(e.)p 67 1413 V 67 2348 2 936 v 97 2336 a @beginspecial 15 @llx 231 @lly 597 @urx 530 @ury 4252 @rwi @setspecial %%BeginDocument: trace.4.2.ps /readstring { currentfile exch readhexstring pop } bind def /picstr 98 string def gsave 15.3 231.571 translate 581.4 298.857 scale 784 403 1 [ 784 0 0 -403 0 403 ] { picstr readstring } image 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffe007ffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffe007ffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffe007ffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffe30e38c1063741fc38e38c38ddfffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe0 07ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffdd75d75fdf725ffedddd75d749fffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffe007ffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffdf75d7dfdf755ffedddd7dd 755fffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffe007ffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffe30c17c 3df7743feddc17c305dfffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffe007ffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffd7dd7dfdf775ffedddd65775dfffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffe007ffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffdd7dd75fdf775ffedddd75b75dfffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffe007ffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffe37dd8c1de3741fc38d d8dd75dfffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffe007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffe007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffe007ffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffe007ffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffe007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffe007ff ffffe0000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0001ffffffe007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ff707fefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007fe77ffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ff70ffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ff7f7fe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffff ffe007ff7f7fefffffffffffffffeffff7fff3fffffffffff7ffeffff7ff fffffffff3fffffffffff7ffeffff7fff3ffffffffffe7ffffffffffefff f7fffffffffff3ffffffffffe7ffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ff777fefffffffffffffffdfffeffff1ffffff fffff7ffdffff3ffffffffffedfffffffffff7ffdfffeffff1ffffffffff d7ffffffffffdffff3ffffffffffedffffffffffd7ffffffffffffffffff fffffffffffffffffffffffffffdffffffe007fe38ffefffffffffffffff dfffefffe9ffffffffffefffdffff3ffffffffffedfffffffffff7ffdfff effff1ffffffffffd3ffffffffffdfffebffffffffffedffffffffffd7ff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffffffffffbfffdfffecffffffffffefffbffff1ffffffffffdeff fffffffff7ffbfffdffff0ffffffffffb3ffffffffffbfffedffffffffff deffffffffffb7fffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffffffffffff7fffdfffed7fffffffffefff7fff f1ffffffffffdf7ffffffffff7ff7fffdffff97fffffffff7bffffffffff 7fffedffffffffffdf7fffffffff7bffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffeffffffffffffffeffffdfffedbf ffffffffeffeffffe9ffffffffffdfbfffffffffeffeffffdffff9bfffff fffefbfffffffffeffffedffffffffffdfbffffffffefbffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefffffffffff fffdffffbfffeedfffffffffeffdffffeaffffffffffbfdfffffffffeffd ffffbffffadffffffffdfbfffffffffdffffeeffffffffffbfdffffffffd fbfffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffeffffffffffffffdffffbfffdedfffffffffdffdffffecffffffffff bfdfffffffffeffdffffbffff8dffffffffdf9fffffffffdffffdeffffff ffffbfdffffffffdfbffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffeffffffffffffffbffff7fffdf6fffffffffdffb ffffed7fffffffff7fefffffffffeffbffff7ffff96ffffffffbf9ffffff fffbffffdf7fffffffff7feffffffffbfbffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffeffffffffffffff7ffff7fff df77ffffffffdff7ffffed7fffffffff7ff7ffffffffeff7ffff7ffff977 fffffff7f9fffffffff7ffffdf7fffffffff7ff7fffffff7fbffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffffff ffffffefffff7fffdf7bffffffffdfefffffed7fffffffff7ffbffffffff efefffff7ffff97bffffffeff9ffffffffefffffdf7fffffffff7ffbffff ffeffbfffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefffffffffffffdffffeffffdfbdffffffffdfdfffffedbfffff fffefffdffffffffefdffffefffff9bdffffffdff9ffffffffdfffffdfbf fffffffefffdffffffdffbffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefffffffffffffdffffeffffbfbdffffffff bfdfffffeebffffffffefffdffffffffefdffffefffffabdffffffdffaff ffffffdfffffbfbffffffffefffdffffffdffbffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffffffffbffffd ffffbfdeffffffffbfbfffffeedffffffffdfffeffffffffefbffffdffff fadeffffffbffaffffffffbfffffbfdffffffffdfffeffffffbffbffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffffffff7ffffdffffbfdf7fffffffbf7fffffeedffffffffdffff7fff ffffef7ffffdfffffcdf7fffff7ffcffffffff7fffffbfdffffffffdffff 7fffff7ffdfffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffeffffffffffffefffffdffffbfdfbfffffffbeffffffdedf fffffffdffffbfffffffdefffffdfffffcdfbffffefffcfffffffeffffff bfdffffffffdffffbffffefffdffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ff7effeffffffffffffdfffffbffffbfefdfff ffffbdffffffdeeffffffffbffffdfffffffddfffffbfffffcefdffffdff fcfffffffdffffffbfeffffffffbffffdffffdfffdffffffffffffffffff fffffffffffffffffffffffffffdffffffe007fe7cffeffffffffffffdff fffbffff7fefdfffffff7dffffffdf6ffffffffbffffdfffffffddfffffb fffffd6fdffffdfffd7ffffffdffffff7feffffffffbffffdffffdfffdff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ff7aff effffffffffffbfffff7ffff7ff7efffffff7bffffffdf77fffffff7ffff efffffffdbfffff7fffffd77effffbfffd7ffffffbffffff7ff7fffffff7 ffffeffffbfffdfffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ff76ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000007ffffffffffffffffffffff fffffffffffffffdffffffe007ff707feffffffffffff7fffff7ffff77f7 fffff7ff77ffffffdf77f7fffff7fffffffff7ffd7fffff7fffff577ffff f7fffd7ffffff7ffffff7ff7f7fffff7fffffffff7fffdffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ff7effefffffffffff efffffefffff6ffbfffff7ff73ffffffdf7bf3ffffeffffffffff7ffcfff ffefffffed7bfffff3fffd7ffffff3ffffff7ffbf3ffffefffffffffe7ff fdfffffffffffffffffffffffffffffffffffffffffffffdffffffe007fe 3effefffffffffffefffffeffffeeffbffffeffef3ffffffdfbbf3ffffef fffffffff7ffcfffffefffffedbbfffff3fffdbfffffebfffffefffbebff ffefffffffffe7fffdffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefffffffffffdfffffdffffedffdffffeffef1ff ffffdfbdf1ffffdffffffffff7ffdfffffdfffffddbdfffff1fffdbfffff edfffffefffdedffffdfffffffffd7fffdffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffefffffffffffdfffffdffffe dffdffffeffef1ffffffdfbdf1ffffdffffffffff7ffdfffffdfffffdebd fffff9fffebfffffedfffffefffdedffffdfffffffffdbfffeffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffffff ffffdfffffdffffedffdffffeffee9ffffffbfbde9ffffdfffffffffefff 9fffffdfffffdebdfffff9fffebfffffedfffffefffdedffffdfffffffff dbfffefffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefffffffffffbfffffbffffebffeffffeffeeaffffffbfbeeaff ffbfffffffffefffbfffffbfffffbebefffffafffebfffffeefffffefffe eeffffbfffffffffbbfffeffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefffffffffffbfffffbffffdbffeffffdffd ecffffffbfdeecffffbfffffffffefffbfffffbfffffbedefffff8fffedf ffffdefffffdfffedeffffbfffffffffbbfffeffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffffff7fffff7f fffd7fff7fffdffded7fffffbfdf6d7fff7fffffffffefff3fffff7fffff 7edf7ffff97ffedfffffdf7ffffdffff5f7fff7fffffffff7bfffeffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffffff7fffff7ffffd7fff7fffdffded7fffffbfdf6d7fff7fffffffff efff3fffff7fffff7edf7ffff97ffedfffffdf7ffffdffff5f7fff7fffff ffff7bfffefffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffffffffff7fffff7ffffd7fff7fffdffded7fffffbfdf 6d7fff7fffffffffefff3fffff7fffff7edf7ffff97ffedfffffdf7ffffd ffff5f7fff7fffffffff7bfffeffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffeffffffffffefffffefffffcffffbfff dffdedbfffffbfdfadbffeffffffffffeffebffffefffffefedfbffff9bf fedfffffdfbffffdffff9fbffefffffffffefbfffeffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffeffffffffffeffff fefffffaffffbfffbffbeebfffffbfefaebffeffffffffffeffebffffeff fffefeefbffffabffeefffffbfbffffbffffbfbffefffffffffefbfffeff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff effffffffffdfffffdfffff9ffffdfffbffbeedfffffbfefcedffdffffff ffffeffdbffffdfffffdfeefdffffadffeefffffbfdffffbffff9fdffdff fffffffdfbfffefffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffeffffffffffdfffffdfffff9ffffdfffbffbeedfffff bfefcedffdffffffffffeffdbffffdfffffdff6fdffffcdfff6fffffbfdf fffbffff9fdffdfffffffffdfdffff7fffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffeffffffffffdfffffdfffff9ffff dfffbffbdedfffff7fefdedffdffffffffffdffd7ffffdfffffdff6fdfff fcdfff6fffffbfdffffbffff9fdffdfffffffffdfdffff7fffffffffffff fffffffffffffffffffffffffffffffdffffffe007ff78ffeffffffffffb fffffbfffffbffffefffbffbdeefffff7fefceeffbffffffffffdffb7fff fbfffffbff6feffffcefff6fffffbfeffffbffffafeffbfffffffffbfdff ff7ffffffffffffffffffffffffffffffffffffffffffffdffffffe007fe 777feffffffffffbfffffbfffff3ffffefff7ff7df6fffff7ff7cf6ffbff ffffffffdffb7ffffbfffffbff77effffd6fff77ffff7feffff7ffff6fef fbfffffffffbfdffff7fffffffffffffffffffffffffffffffffffffffff fffdffffffe007ff7f7feffffffffff7fffff7fffff7fffff7ff7ff7df77 ffff7ff7d777f7ffffffffffdff77ffff7fffff7ff77f7fffd77ff77ffff 7ff7fff7ffff77f7f7fffffffff7fdffff7fffffffffffffffffffffffff fffffffffffffffffffdffffffe007ff7cffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff fffffffffffffffffffffffffffffffffffdffffffe007ff7f7fefffffff fff7effff7fffff7fffffbff7ff7df77f7ff6ff7df77f3ffffffffffd7f7 6ffff3fffff7ff77fbfffd77ff77e7ff7ff7fff7efff7ff7f3fffffffff7 e5ffff7ffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ff777fefffffffffefdffff7ffffe7fffffdff7ff7df7bf7ff5ff7df7b f5ffffffffffd7ef5ffff5ffffefff77fdfffd7bff77d7ff7ffbfff7dfff 7ffbf5ffffffffefd5ffff7fffffffffffffffffffffffffffffffffffff fffffffdffffffe007fe38ffefffffffffefdfffefffffeffffffdfeffef dfbbefff5ffbdfbbf1ffffffffffd7ef5ffff1ffffefff7bfdfffdbbff7b d3fefffbffefdffefffbedffffffffefd5ffff7fffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffffdfbfffefff ffcffffffefeffefdfbdefff3ffbdfbdf2ffffffffffd7df3ffff2ffffdf ff7bfefffdbdff7bb3fefffdffefbffefffdeeffffffffdfb5ffff7fffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffffdf7fffefffffcfffffff7effefdfbdefff7ffbdfbdf37fffffffff d7df7ffffb7fffdfffbbff7ffebdffbb7bfefffdffef7ffefffdef7fffff ffdf7affffbffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffffffffdeffffefffffcfffffffbeffefbfbdeffefffb bfbdebbfffffffffafdefffffbbfffdfffbbffbffebdffbafbfefffdffee fffefffdefbfffffffdefaffffbfffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffefffffffffbdffffefffffafffffffde ffefbfbeeffcfffbbfbeebdfffffffffafbcfffffbdfffbfffbbffdffebe ffb9fbfefffeffedfffefffeefdfffffffbdfaffffbfffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffefffffffffbdffff dfffff9fffffffddffdfbfdedffcfffdbfdeeddfffffffffafbcfffff9df ffbfffbdffdffedeffbdf9fdfffeffddfffdfffedfdfffffffbdfaffffbf fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffff7bffffdfffff5fffffffedffdfbfdf5ffafffdbfdf6defffff ffffaf7afffff9efff7fffbdffeffedf7fb9f9fdffff7fdbfffdffff5fef ffffff7bfaffffbffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffffff77ffffdfffff5ffffffff5ffdfbfdf5ff6 fffdbfdf6df7ffffffffaf76fffff9f7ff7fffbdfff7fedf7fb5f9fdffff 7fd7fffdffff5ff7ffffff77faffffbfffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffffffff6fffffdfffff5fffff fff9ffdfbfdf5feefffdbfdf6dfbffffffffaf6efffff9fbff7fffbdfffb fedf7fadf9fdffff7fcffffdffff5ffbffffff6ffaffffbfffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffeffffffffedf ffffdffffedffffffffdffdfbfdf9fdefffdbfdfadfdffffffffaedeffff f9fdfeffffbdfffdfedfbf9df9fdffffbfdffffdffff9ffdfffffedffaff ffbffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffeffffffffedfffffbffffebffffffff9ffbfbfefbfdefffebfefaefd ffffffffaedefffffafdfeffffbefffdfeefbf9efafbffffbf9ffffbffff bffdfffffedffaffffbfffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffeffffffffdbfffffbffffdbffffffffaffbfbfef 9fbefffebfefcefeffffffffadbefffffafefdffffbefffefeefdfbefafb ffffdfbffffbffff9ffefffffdbffaffffbfffffffffffffffffffffffff fffffffffffffffffffdff87ffe007ffffffeffffffffd7fffffbffffdbf fffffffb7fbfbfef9f7efffebfefceff7fffffffad7efffffcff7dffffde ffff7f6fdf5efcfbffffdf3ffffbffff9fff7ffffd7ffd7fffdfffffffff fffffffffffffffffffffffffffffffffffdffbbffe007ffffffefffffff fcffffffbffffdbffffffffbbfbf7fef9efdfffe7fefdeffbfffffff5cfd fffffcffbdffffdeffffbf6fdedefcfbffffdebffffbffff9fffbffffcff fd7fffdffffffffffffffffffffffffffffffffffffffffffffdffbbffe0 07ff78ffeffffffff9ffffffbffffbbffffffffbdfbf7fefadfdfffe7fef ceffdfffffff59fdfffffcffdbffffdeffffdf6feddefcfbffffedbffffb ffffafffdffff9fffd7fffdfffffffffffffffffffffffffffffffffffff fffffffdff87ffe007fe777feffffffff9ffffff7ffffb7ffffffff7df7f 7ff76dfdffff7ff7cf7fdfffffff59fdfffffd7fdbffffdf7fffdf77eddf 7d77ffffed7ffff7ffff6fffdffff9fffd7fffdfffffffffffffffffffff fffffffffffffffffffffffdffbfffe007ff7f7feffffffff3ffffff7fff f77ffffffff7ef7f7ff773fdffff7ff7d77fefffffff53fdfffffd7fe7ff ffdf7fffef77f3df7d77fffff37ffff7ffff77ffeffff3fffd7fffdfffff fffffffffffffffffffffffffffffffffffffffdffbfffe007ff7effe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffbf ffe007ff7dffeffffffff7ffffff7ffff77ffffffff7ff7f77f77ffdffff 7ff7df7ffffff7ff57fdfffffd7ff7ffffdf7fffff77f7df7d77ffffff7f fff7ffff7ffffffff7fffd7fffdfffffffffffffffffffffffffffffffff fffffffffffdffffffe007ff7bffeffffffff7ffffff7ffff77ffffffff7 ff7f77f77ffdffff7ff7df7ffffff7ff57fdfffffd7ff7ffffdf7fffff77 f7df7d77ffffff7ffff7ffff7ffffffff7fffd7fffdfffffffffffffffff fffffffffffffffffffffffffffdffffffe007fe307fefffffffeffffffe ffffeeffffffffeffeff6ffafffdffff3ffbdfbffffff7ff53fdfffffdbf f3ffffdfbfffff7bf3dfbdaffffffeffffeffffeffffffffe7fffd7fffdf fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffeffffffeffffeeffffffffeffeff6ffafffdffff3ffbdfbfffff f7ff53fdfffffdbff3ffffdfbfffff7bf3dfbdaffffffeffffeffffeffff ffffe7fffd7fffdffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffffeffffffeffffeeffffffffeffeff6ffafffd ffff3ffbdfbffffff7ff5bfdfffffebffbffffefbfffffbbfbefbeafffff feffffeffffeffffffffebfffebfffefffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffffffeffffffeffffeeffffff ffeffefeeffafffbfffebffbbfbfffffeffebbfbfffffebffbffffefbfff ffbbfbefbeaffffffeffffeffffeffffffffebfffebfffefffffffffffff fffffffffffffffffffffffffffffffdff87ffe007ffffffefffffffefff fffeffffeeffffffffeffefeeffafffbfffebffbbfbfffffeffebbfbffff febffbffffefbfffffbbfbefbeaffffffeffffeffffeffffffffebfffebf ffeffffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff ffffefffffffdffffffdffffddffffffffdffdfedffdfffbfffedffdbfdf ffffeffeb9fbfffffedff9ffffefdfffffbdf9efdedffffffdffffdffffd ffffffffdbfffebfffefffffffffffffffffffffffffffffffffffffffff fffdffbbffe007ffffffefffffffdffffffdffffddffffffffdffdfedffd fffbfffedffdbfdfffffeffeb9fbfffffedff9ffffefdfffffbdf9efdedf fffffdffffdffffdffffffffdbfffebfffefffffffffffffffffffffffff fffffffffffffffffffdff87ffe007ffffffefffffffdffffffdffffddff ffffffdffdfedffdfffbfffedffdbfdfffffeffeb9fbfffffedff9ffffef dfffffbdf9efdedffffffdffffdffffdffffffffdbfffebfffefffffffff fffffffffffffffffffffffffffffffffffdffafffe007ffffffefffffff dffffffdffffddffffffffdffdfedffdfffbfffedffdbfdfffffeffeb9fb fffffedff9ffffefdfffffbdf9efdedffffffdffffdffffdffffffffdbff febfffeffffffffffffffffffffffffffffffffffffffffffffdffb7ffe0 07ffffffefffffffdffffffdffffddffffffffdffdfedffdfffbfffedffd bfdfffffeffeb9fbfffffedff9ffffefdfffffbdf9efdedffffffdffffdf fffdffffffffdbfffebfffefffffffffffffffffffffffffffffffffffff fffffffdffbbffe007ffffffefffffffbffffffbffffbbffffffffbffbfe bffafffbfffeeffebfefffffeffebafbfffffeeffaffffefefffffbefaef eeaffffffbffffbffffbffffffffbbfffebfffefffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffbffffffbffff bbffffffffbffbfebffafffbfffeeffebfefffffeffebafbfffffeeffaff ffefefffffbefaefeeaffffffbffffbffffbffffffffbbfffebfffefffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffbffffffbffffbbffffffffbffbfebffafffbfffeeffebfefffffeffe bcfbffffff6ffcfffff7efffffdefcf7ef2ffffffbffffbffffbffffffff bdffff5ffff7fffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffffffbffffffbffffbbffffffffbffbfdbffafff7fffd effe7fefffffdffd7cf7ffffff6ffcfffff7efffffdefcf7ef2ffffffbff ffbffffbffffffffbdffff5ffff7ffffffffffffffffffffffffffffffff fffffffffffdffffffe007ff7dffefffffffbffffffbffffbbffffffffbf fbfdbffafff7fffdeffe7fefffffdffd7cf7ffffff6ffcfffff7efffffde fcf7ef2ffffffbffffbffffbffffffffbdffff5ffff7ffffffffffffffff fffffffffffffffffffffffffffdffffffe007fe79ffefffffff7ffffff7 ffff77ffffffff7ff7fd7ff77ff7fffdf7ff7ff7ffffdffd7d77ffffff77 fd7ffff7f7ffffdf7d77f777fffff7ffff7ffff7ffffffff7dffff5ffff7 fffffffffffffffffffffffffffffffffffffffffffdffc7ffe007ff7dff efffffff7ffffff7ffff77ffffffff7ff7fd7ff77ff7fffdf7ff7ff7ffff dffd7d77ffffff77fd7ffff7f7ffffdf7d77f777fffff7ffff7ffff7ffff ffff7dffff5ffff7fffffffffffffffffffffffffffffffffffffffffffd ffbbffe007ff7dffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000007ffffffffffffffffffffff fffffffffffffffdffbbffe007ff7dffefffffff7fffeff7f7ff73ffffff ff7ff7fd7ff77ff7effdf7ff7ff7ffffd3fd7d77fffff777ed7ff7f7f3ff ffdf7d77ff77effff3ffff7ffff7f3ffffff7dffe75ffff7ffffffffffff fffffffffffffffffffffffffffffffdffbbffe007ff7dffefffffff7fff dff7efff71ffffffff7ff7fd7ff77ff7dffdfbff7ff7ffffcdfd7d77ffff f777dd7feff7f9ffffdf7d77ff77dffff1ffff7ffff7edffffff7dffd75f fff7fffffffffffffffffffffffffffffffffffffffffffdffbbffe007fe 38ffeffffffeffffdfefeffef1fffffffefff7fcffefbff7dffdfbff3ffb ffffcdfd7db7fffff77bddbfeff7f9ffffdfbdb7fe7bdffff1fffeffffef edfffffefdffd75ffff7ffffffffffffffffffffffffffffffffffffffff fffdffbbffe007ffffffeffffffeffffbfefdffef4fffffffefff7fcffef bff7bffdfdff3ffbffffdefd7db7fffff77bbdbfdff7fcffffdfbdb7fe7b bffff4fffeffffefdefffffefdffb75ffff7ffffffffffffffffffffffff fffffffffffffffffffdffc7ffe007ffffffeffffffeffff7fefdffef57f fffffefff7fcffefbff77ffdfdff3ffbffffdf7d7eb7fffff7bb7ebfdffb fd7fffefbebbfebb7ffff97ffeffffefdf7ffffefeff7baffffbffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffeffffffe fffeffefdffeedbffffffeffeffaffefbfeefffbfdfebffbffff9fbafeaf ffffefbafebfdffbfdbfffefbebbfebafffff9bffeffffefdfbffffefefe fbaffffbfffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffeffffffefffdffefbffeeedffffffeffeffaffefbfedfffbfefe bffbffffbfdafeafffffefb9febfbffbfedfffefbebbfeb9fffffadffeff ffefbfdffffefefdfbaffffbffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffeffffffdfffdffdfbffdeedffffffdffeff9 ffdfdfedfffbfefedffdffffbfdafecfffffefbdfedfbffbfedfffefdedb fdbdfffffadffdffffdfbfdffffdfefdfbaffffbffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffeffffffdfffbffdf7ffd ef6ffffffdffeff9ffdfdfebfffbff7edffdffff3feafecfffffefb9fedf 7ffbff6fffefdedbfdb9fffffb6ffdffffdf7feffffdfefbfbaffffbffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff fffdfff7ffdf7ffdef77fffffdffeff9ffdfdfe7fffbff7edffdffff3ff2 fecfffffefb5fedf7ffbff77ffefdedbfdb5fffffb77fdffffdf7ff7fffd fef7fbaffffbfffffffffffffffffffffffffffffffffffffffffffdffc7 ffe007ffffffeffffffdffefffdf7ffdef7bfffffdffeff9ffdfdfeffffb ff7edffdffff3ffafecfffffefadfedf7ffbff7bffefdedbfdadfffffb7b fdffffdf7ffbfffdfeeffbaffffbffffffffffffffffffffffffffffffff fffffffffffdffbbffe007ffffffeffffffdffdfffdefffdefbdfffffdff eff9ffdfdfcffffbffbedffdfffebff8fecfffffef9dfedefffbffbdffef dedbfd9dfffffbbdfdffffdefffdfffdfedffbaffffbffffffffffffffff fffffffffffffffffffffffffffdffbfffe007ffffffeffffffbffdfffbe fffbefbdfffffbffeffbffbfefcffffbffbeeffefffebff8feefffffef9e feeefffbffbdffefeeebfb9efffffbbdfbffffbefffdfffbfedffbaffffb fffffffffffffffffffffffffffffffffffffffffffdffbfffe007ffffff effffffbffbfffbdfffbefdefffffbffeffbffbfefaffffbffdeeffefffd bffafeefffffefbefeedfffbffdeffefeeebfbbefffffbdefbffffbdfffe fffbfebffbaffffbfffffffffffffffffffffffffffffffffffffffffffd ffbfffe007ffffffeffffffbff7fffbdfffbefdf7ffffbffeffbffbfef6f fffbffdeeffefffdbffa7f6fffffef5eff6dfffdffdf7ff7ef6dfb5effff fddf7bffffbdffff7ffbff7ffdd7fffdffffffffffffffffffffffffffff fffffffffffffffdffbbffe007ffffffeffffffbfeffffbdfffbdfdfbfff fbffdff3ffbfeedffff7ffddeffefffd7ff5bf4fffffdedeff6dfffdffdf bff7ef6dfadefffffddfbbffffbdffffbffbfe7ffdd7fffdffffffffffff fffffffffffffffffffffffffffffffdffc7ffe007ff78ffeffffffbfdff ffbbfffbdfefdffffbffdff3ffbfeddffff7ffedeffefffb7ff5df4fffff dddeff6bfffdffefdff7ef6df9defffffdefdbffffbbffffdffbfd7ffdd7 fffdfffffffffffffffffffffffffffffffffffffffffffdffffffe007fe 777feffffff7fdffff7bfff7dfefdffff7ffdff7ff7ff5dffff7ffedf7ff 7ffb7ff5df57ffffdddf7f73fffdffefdff7f775f5df7ffffdefd7ffff7b ffffdff7fd7ffdd7fffdffffffffffffffffffffffffffffffffffffffff fffdffffffe007ff767feffffff7fbffff77fff7dff7effff7ffdff7ff7f f3dffff7fff5f7ff7ff77ff5ef57ffffdbdf7f77fffdfff7eff7f775f3df 7ffffdf7e7ffff77ffffeff7fb7ffdd7fffdffffffffffffffffffffffff fffffffffffffffffffdffffffe007ff757fe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff fffffffffffffffffffffffffffffffffffdffffffe007ff737feffffff7 f7ffff77fff7d7f7fffff7ffdff7ff7ff7dffff7fff5f7ff7ff77ff5ff57 f7ffd7df7f77fffdf7f7fff7ff75f7df7ffffdf7f7ffff77fffffff7f77f fdd7fffdfffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ff777feffffff7efffff6ffff7cffbfffff7ffdff7ff7ffbdffff7fff9 fbff7fef7ff5ff57f7ffcfdf7f67fffdeffbfff7ff75f3df7ffffdfbf3ff ff6ffffffff7e77ffdd7fffdffffffffffffffffffffffffffffffffffff fffffffdff83ffe007fe38ffefffffefeffffeefffefcffbfffff7ffdfe7 fefffbdffff7fff9fbffbfef7ff5ff5bf7ffcfdfbf6bfffdeffbfff7ff79 f3dfbffffdfbf3fffeefffffffefe77ffdd7fffdffffffffffffffffffff fffffffffffffffffffffffdffbfffe007ffffffefffffefdffffedfffef dffdfffff7ffdfe7fefffddffff7fffdfdffbfdf7ff5ff5bf7ffdfdfbf5b fffddffdfff7ff79f5dfbffffdfdf5fffedfffffffefd77ffdd7fffdffff fffffffffffffffffffffffffffffffffffffffdffbfffe007ffffffefff ffefdffffedfffefdffdfffff7ffdfe7fefffddffff7fffdfdffbfdf7ff5 ff9bf7ffdfefbf9bfffedffdfffbffbaf9efbffffefdf9fffedfffffffef dbbffeebfffefffffffffffffffffffffffffffffffffffffffffffdff87 ffe007ffffffefffffefdffffedfffef9ffdffffefffbfeffefffdbfffef fff9fdffbfdeffebffbbefff9fefbf9bfffedffdfffbffbaf9efbffffefd f9fffedfffffffefdbbffeebfffeffffffffffffffffffffffffffffffff fffffffffffdffbfffe007ffffffefffffefbffffebfffefbffeffffefff bfeffefffebfffeffffafeffbfbeffebffbbefffbfefbfbbfffebffefffb ffbafaefbffffefefafffebfffffffefbbbffeebfffeffffffffffffffff fffffffffffffffffffffffffffdffbfffe007ffffffefffffdfbffffdbf ffdfbffeffffefffbfcffdfffebfffeffffafeffdfbeffebffbdefffbfef dfbdfffebffefffbffbcfaefdffffefefafffdbfffffffdfbbbffeebfffe fffffffffffffffffffffffffffffffffffffffffffdff83ffe007ffffff efffffdf7ffffd7fffdf3fff7fffefffbfcffdffff3fffeffffb7f7fdf7e ffebffbdefff3fefdf3dfffe7fff7ffbffbcfb6fdffffeff7b7ffd7fffff ffdf7bbffeebfffefffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffdf7ffffd7fffdf3fff7fffefffbfcffdffff3f ffeffffb7f7fdf7effebffbdefff3fefdf3dfffe7fff7ffbffbcfb6fdfff feff7b7ffd7fffffffdf7bbffeebfffeffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffffdf7ffffd7fffdf3fff7fff efffbfcffdffff3fffeffffb7f7fdf7effebffbdefff3fefdf3dfffe7fff 7ffbffbcfb6fdffffeff7b7ffd7fffffffdf7bbffeebfffeffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefffffdeffff fcffffdebfffbfffefffbfcffdffffbfffeffffbbfbfdefeffebffbdeffe bfefdebdfffeffffbffbffbcfbafdffffeffbbbffcffffffffdefbbffeeb fffefffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefffffbefffffaffffbebfffbfffefffbfaffbffffbfffeffffbbfbf eefeffebffbeeffebfefeebefffeffffbffbffbefbafeffffeffbbbffaff ffffffbefbbffeebfffeffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefffffbdfffff9ffffbdbfffdfffefffbfaffbff ff9fffeffffbdfdfedfeffebffbeeffdbfefedbefffcffffdffbffbefbcf effffeffdbdff9ffffffffbdfbbffeebfffeffffffffffffffffffffffff fffffffffffffffffffdffc7ffe007ffffffefffffbdfffff9ffffbdbfff dfffefffbfaffbffff9fffeffffbdfdfedfeffebff9eeffdbff7eddefffd 7fffdffdffde7dd7efffff7fdddff9ffffffffbdfddfff75ffff7fffffff fffffffffffffffffffffffffffffffffffdffbbffe007ffffffefffffbd fffff9ffffbd7fffdfffdfff7f9ffbffff5fffdffff7dfdfedfdffd7ff5e dffd7ff7eddefffd7fffdffdffde7dd7efffff7fdddff9ffffffffbdfddf ff75ffff7ffffffffffffffffffffffffffffffffffffffffffdffbfffe0 07ffc7ffefffffbbfffffbffffbb7fffefffdfff7f9ffbffff6fffdffff7 efefebfdffd7ff5edffb7ff7ebdefffb7fffeffdffde7de7efffff7fedef fbffffffffbbfddfff75ffff7fffffffffffffffffffffffffffffffffff fffffffdffc7ffe007ffbbffefffff7bfffff3ffff7b7fffefffdfff7f5f f7ffff6fffdffff7efeff3fdffd7ff5f5ffb7ff7f3df7ffb7fffeffdffdf 7de7f7ffff7fedeff3ffffffff7bfddfff75ffff7fffffffffffffffffff fffffffffffffffffffffffdfffbffe007ffbbffefffff77fffff7ffff77 7ffff7ffdfff7f5ff7ffff77ffdffff7f7f7f7fdffd7ff5f5ff77ff7f7df 7ff77ffff7fdffdf7df7f7ffff7ff5f7f7ffffffff77fddfff75ffff7fff fffffffffffffffffffffffffffffffffffffffdffbbffe007ffc3ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffc7 ffe007fffbffefffff77effff7ffff777ffffbffdfff7f5ff7ffff77ffdf eff7fff7fbfdffd7ff5f57f76ff7ffdf7ff77ffffbfdffdf7df7ffffef7f fdf7f3ffffffff77e5dfff75ffff7fffffffffffffffffffffffffffffff fffffffffffdffffffe007fff7ffefffff6fdffff7ffff6f7ffffdffdfff 7f5ff7ffff7bffdfdff7fffbfdfdffd7ff5f57ef5ff7ffdf7fef7ffffdfd ffdf7df3ffffdf7ffdfbf5ffffffff6fd5dfff75ffff7fffffffffffffff fffffffffffffffffffffffffffdffffffe007ffcfffeffffeefdffff7ff feef7ffffdffdfff7edff7ffff7bffdfdff7fffbfdfdffd7ff5f97ef5ff7 ffdfbfef7ffffdfdffdf3df3ffffdf7ffdfbf5fffffffeefd5dfff75ffff 7ffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff effffedfbffff7fffedf7ffffeffdfff7edff7ffff7dffdfbff7fffdfefd ffd7ff5f97df3ff7ffdfbfdf7ffffefdffdf3df5ffffbf7ffdfdf6ffffff fedfb5dfff75ffff7ffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffeffffedf7ffff7fffedf7fffff7fdfff7edff7ffff7d ffdf7ff7fffdff7dffd7ff6f97df7ffbffefbfdfbfffff7effefbef9ffff 7fbffefdfb7ffffffedf7aefffbaffffbfffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffeffffedeffffeffffedeffffffbf bffefebfeffffefdffbeffeffffdffbbffaffeefafdefffbffefbfdfbfff ffbeffefbef9fffeffbffefdfbbffffffedefaefffbaffffbfffffffffff fffffffffffffffffffffffffffffffdffc7ffe007ffffffeffffebdffff effffebeffffffdfbffefebfeffffefeffbdffeffffeffdbffaffeefafbc fffbffefbfbfbfffffdeffefbefafffdffbffefefbdffffffebdfaefffba ffffbffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff ffffeffffdbdffffeffffdbeffffffdfbffefdbfeffffefeffbdffeffffe ffdbffaffeef8fbcfffbffefdfbfbfffffdeffef9efafffdffbffefefbdf fffffdbdfaefffbaffffbfffffffffffffffffffffffffffffffffffffff fffdffbfffe007ffffffeffffd7bffffeffffd7effffffefbffefdbfefff feff7fbbffefffff7febffaffeef8f7afffbffefdf7fbfffffeeffef9efb 7ffbffbffeff7beffffffd7bfaefffbaffffbfffffffffffffffffffffff fffffffffffffffffffdffc7ffe007ffffffeffffd77ffffeffffd7effff fff7bffefdbfeffffeff7fb7ffefffff7ff3ffaffeef8f76fffbffefdf7f bffffff6ffef9efb7ff7ffbffeff7bf7fffffd77faefffbaffffbfffffff fffffffffffffffffffffffffffffffffffdfffbffe007ffffffeffffd6f ffffeffffd7efffffffbbffefdbfeffffeff7fafffefffff7ffbffaffeef 8f6efffbffefdf7fbffffffaffef9efb7fefffbffeff7bfbfffffd6ffaef ffbaffffbffffffffffffffffffffffffffffffffffffffffffdffbbffe0 07ffffffeffffcdfffffeffffcfefffffffdbffefdbfeffffeffbf9fffef ffffbff9ffaffeef8edefffbffefdeffbffffffcffef9efbbfdfffbffeff bbfdfffffcdffaefffbaffffbfffffffffffffffffffffffffffffffffff fffffffdffc7ffe007ffffffeffffadfffffeffffafefffffffdbffefbbf effffeffbf9fffefffffbff9ffaffeefaedefffbffefeeffbffffffcffef aefbbfdfffbffeffbbfdfffffadffaefffbaffffbfffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffeffff9bfffffeffff9fe fffffffebffefbbfeffffeffdfbfffefffffdffaffaffeefadbefffbffef edffbffffffeffefaefbdfbfffbffeffdbfefffff9bffaefffbaffffbfff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff f97fffffeffff9feffffffff3ffefbbfeffffeffdf3fffefffffdffb7faf fef7ad7efffdfff7edffdfffffff7ff7cf7ddf7fffdfff7fddff7ffff97f fd77ffdd7fffdffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffeffff8ffffffdffff9fdffffffff3ffdfb7fdffffdffde7f ffdfffffdff7bf5ffdf74cfdfffdfff7edffdfffffff3ff7cf7ddeffffdf ff7fddffbffff8fffd77ffdd7fffdfffffffffffffffffffffffffffffff fffffffffffdffffffe007ffc7ffeffff9ffffffdffffbfdffffffff5ffd fb7fdffffdffed7fffdfffffeff7df5ffdf749fdfffdfff7ebffdfffffff 5ff7cf7dedffffdfff7fedffdffff9fffd77ffdd7fffdfffffffffffffff fffffffffffffffffffffffffffdffffffe007ffbbffeffff1ffffffdfff f3fdffffffff5ffdf77fdffffdffed7fffdfffffeff7df5ffdf751fdfffd fff7f3ffdfffffff5ff7d77dedffffdfff7fedffdffff1fffd77ffdd7fff dffffffffffffffffffffffffffffffffffffffffffdffc7ffe007ffbbff effff3ffffffdffff7fdffffffff6ffdf77fdffffdfff37fffdffffff7f7 ef5ffdf753fdfffdfff7f7ffdfffffff6ff7d77df3ffffdfff7ff5ffefff f3fffd77ffdd7fffdffffffffffffffffffffffffffffffffffffffffffd ffbbffe007ffc7ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000007ffffffffffffffffffffff fffffffffffffffdffbbffe007ffbbffeffff7ffffffdffff7fdffffffff 7ffdf77fdffffdffff7fffdffffffff7ff5ff5f75ffdfffdfff7ffffdfff ffff7ff7df7dffffffdfff7ffdfffffff7fffd77ffdd7fffdfffffffffff fffffffffffffffffffffffffffffffdffbbffe007ffbbffeffff7ffffff dffff7fdffffffff7ffdf77fdffffdffff7fffdffffffff7ff5ff5f75ffd fffdfff7ffffdfffffff7ff7df7dffffffdfff7ffdfffffff7fffd77ffdd 7fffdffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff c7ffeffff7ffffffdffff7fdffffffff7ffdf77fdffffdffff7fffdfffff fff7ff5ff5f75ffdfffdfff7ffffdfffffff7ff7df7dffffffdfff7ffdff fffff7fffd77ffdd7fffdfffffffffffffffffffffffffffffffffffffff fffdffbbffe007ffffffeffff7ffffffdffff7fdffffffff7ffdf77fdfff fdffff7fffdffffffff7ff5ff5f75ffdfffdfff7ffffdfffffff7ff7df7d ffffffdfff7ffdfffffff7fffd77ffdd7fffdfffffffffffffffffffffff fffffffffffffffffffdffc7ffe007ffffffeffff7ffffffdffff7fdffff ffff7ffdf77fdffffdffff7fffdffffffff7ff5ff5fb5ffdfffefffbffff efffffffbffbefbeffffffefffbffefffffffbfffebbffeebfffefffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffefff ffffbfffeffbfffffffefffbeeffbffffbfffeffffbfffffffeffebfebfa bffbfffefffbffffefffffffbffbefbeffffffefffbffefffffffbfffebb ffeebfffeffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefffefffffffbfffeffbfffffffefffbeeffbffffbfffeffffbf ffffffeffebfebfabffbfffefffbffffefffffffbffbefbeffffffefffbf fefffffffbfffebbffeebfffefffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefffefffffffbfffeffbfffffffefffbeeff bffffbfffeffffbfffffffeffebfebfabffbfffefffbffffefffffffbffb efbeffffffefffbffefffffffbfffebbffeebfffefffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffefffffffbfffeffb fffffffefffbeeffbffffbfffeffffbfffffffeffebfebfabffbfffefffb ffffefffffffbffbefbeffffffefffbffefffffffbfffebbffeebfffefff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff efffffffbfffeffbfffffffefffbeeffbffffbfffeffffbfffffffeffebf ebfabffbfffefffbffffefffffffbffbefbeffffffefffbffefffffffbff febbffeebfffeffffffffffffffffffffffffffffffffffffffffffdff87 ffe007ffffffefffefffffffbfffeffbfffffffefffbeeffbffffbfffeff ffbfffffffeffebfebfabffbfffefffbffffefffffffbffbefbeffffffef ffbffefffffffbfffebbffeebfffefffffffffffffffffffffffffffffff fffffffffffdffbbffe007ffffffefffefffffffbfffeffbfffffffefffb eeffbffffbfffeffffbfffffffeffebfebfabffbfffefffbffffefffffff bffbefbeffffffefffbffefffffffbfffebbffeebfffefffffffffffffff fffffffffffffffffffffffffffdffbbffe007ffffffefffefffffffbfff effbfffffffefffbeeffbffffbfffeffffbfffffffeffebfebfabffbfffe fffbffffefffffffbffbefbeffffffefffbffefffffffbfffebbffeebfff effffffffffffffffffffffffffffffffffffffffffdff87ffe007ffffff efffefffffffbfffeffbfffffffefffbeeffbffffbfffeffffbfffffffef febfebfabffbfffefffbffffefffffffbffbefbeffffffefffbffeffffff fbfffebbffeebfffeffffffffffffffffffffffffffffffffffffffffffd ffafffe007ffffffefffefffffffbfffeffbfffffffefffbeeffbffffbff feffffbfffffffeffebfebfcbffbffff7ffdfffff7ffffffdffdf7df7fff fff7ffdfff7ffffffdffff5dfff75ffff7ffffffffffffffffffffffffff fffffffffffffffdffb7ffe007ffffffefffdfffffff7fffdff7fffffffd fff7ddff7ffff7fffdffff7fffffffdffd7fd7fd7ff7ffff7ffdfffff7ff ffffdffdf7df7ffffff7ffdfff7ffffffdffff5dfff75ffff7ffffffffff fffffffffffffffffffffffffffffffdffbbffe007ff83ffefffdfffffff 7fffdff7fffffffdfff7ddff7ffff7fffdffff7fffffffdffd7fd7fd7ff7 ffff7ffdfffff7ffffffdffdf7df7ffffff7ffdfff7ffffffdffff5dfff7 5ffff7fffffffffffffffffffffffffffffffffffffffffdffffffe007ff fbffefffdfffffff7fffdff7fffffffdfff7ddff7ffff7fffdffff7fffff ffdffd7fd7fd7ff7ffff7ffdfffff7ffffffdffdf7df7ffffff7ffdfff7f fffffdffff5dfff75ffff7ffffffffffffffffffffffffffffffffffffff fffdffffffe007fff7ffefffdfffffff7fffdff7fffffffdfff7ddff7fff f7fffdffff7fffffffdffd7fd7fd7ff7ffff7ffdfffff7ffffffdffdf7df 7ffffff7ffdfff7ffffffdffff5dfff75ffff7ffffffffffffffffffffff fffffffffffffffffffdffffffe007fff7ffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff fffffffffffffffffffffffffffffffffffdffffffe007ffefffefffdfff ffff6fffd7f7f3fffffdfff7d5ff6ffff3fffdffff7ff3ffffdffd7fcffd 7ff7ffff6ffdf7fff3ffffffdffdf7df7ffffff7efdff77ffffffdfff35d fff75ffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffefffefffdfffffff5fffcff7f1fffffdfff7d5ff5ffff1fffdffff7f edffffdffd7fdffd7ff7ffff5ffdeffff1ffffffdffdf7df7ffffff7dfdf f37ffffffdffed5dfff75fffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffefffefffdfffffff5fffcff7e9fffffdfff7cdff 5ffff9fffdffff7fedffffdffd7fdffd7ff7ffff5ffdeffff9ffffffdffd fbdf7ffffff7dfdfeb7ffffffdffed5dfff75fffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffdfffffff3fffdff7 ecfffffdfff7cdff3ffff8fffdffff7fdeffffdffd7f9ffd7ff7ffff3ffd dffff8ffffffdffdfbdf7ffffff7bfdfed7ffffffdffde5dfff75fffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff dfffffff7fffdff7ed7ffffdfff7cdff7ffff97ffdffff7fdf7fffdffd7f 5ffc7ff7ffff3ffedffff97fffffeffefbefbffffffb7fefedbffffffeff df2efffbaffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffbffffffeffff9fefedbffffbffefabfefffff9bffbff feffdfbfffbffafebffaffeffffebffedffff9bfffffeffefbefbffffffa ffefedbffffffeffdfaefffbafffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffefffbffffffcffffbfefeedffffbffef abfcfffffadffbfffeffbfdfffbffafdbffaffeffffdbffebffffadfffff effefbefbffffff9ffefeebffffffeffbf8efffbafffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffefffbffffffcffff bfefdedffffbffef9bfcfffffcdffbfffeffbfdfffbffafdbffaffeffffd bffebffffcdfffffeffefdefbffffff9ffefdebffffffeffbf8efffbafff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffbffffffaffff3fefdf6ffffbffef9bfafffffd6ffbfffeff7fefffbf fafbbffaffeffffbbffe7ffffd6fffffeffefdefbffffffbffefdf3fffff feff7faefffbaffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffbffffff6ffff3fefdf77fffbffef9bf6fffffd77 fbfffeff7ff7ffbffaf7bffaffeffff7bffe7ffffd77ffffeffefdefbfff fff3ffefdf3ffffffeff7fa6fffbafffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffbfffffeeffff3fefdf7bfffb ffef9beefffffd7bfbfffeff7ffbffbffaefbffaffefffefbffe7ffffd7b ffffeffefdefbfffffebffefdf3ffffffeff7faafffbafffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefffbfffffde fffebfefdfbdfffbffef9bdefffffdbdfbfffefefffdffbffadfbffaffef ffdfbffefffffdbdffffeffefdefbfffffdbffefdfbffffffefeffacfffb affffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefffbfffffdefffebfefbfbdfffbffefbbdefffffebdfbfffefefffd ffbffadfbffaffefffdfbffefffffebdffffeffefeefbfffffdbffefbfbf fffffefeffacfffbafffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefffbfffffbefffdbfefbfdefffbffefbbbeffff fedefbfffefdfffeffbffabfbffaffefffbfbffcfffffedeffffeffefeef bfffffbbffefbf9ffffffefdffaefffbafffffffffffffffffffffffffff fffffffffffffffffffdffbbffe007ffffffefffbfffff7efffdbfefbfdf 7ffbffefbb7efffffedf7bfffefdffff7fbffa7fbffa7fefff7fdffd7fff fedf7ffff7ff7ef7dfffff7dfff7bfdfffffff7dffd77ffdd7ffffffffff fffffffffffffffffffffffffffffffffffdffbbffe007ffffffefff7fff fefdfffd7fdfbfdfbff7ffdf36fdfffffedfb7fffdfdffffbf7ff4ff7ff5 7fdffeffdffd7ffffedfbffff7ff7ef7dffffefdfff7bfdfffffff7dffd7 3ffdd7fffffffffffffffffffffffffffffffffffffffffffffdff9bffe0 07ffe7ffefff7ffffdfdfffb7fdfbfefdff7ffdf35fdfffffeefd7fffdfb ffffdf7ff5ff7ff57fdffdffdffb7ffffeefdffff7ff7ef7dffffdfdfff7 bfcfffffff7bffd75ffdd7ffffffffffffffffffffffffffffffffffffff fffffffdffabffe007ffdfffefff7ffffdfdfffb7fdf7fefdff7ffdf75fd ffffff6fd7fffdfbffffdf7ff5ff7ff57fdffdffdffb7fffff6fdffff7ff 7f77dffffdfdfff77fcfffffff7bffd75ffdd7ffffffffffffffffffffff fffffffffffffffffffffffdffb3ffe007ffbfffefff7ffffbfdfff77fdf 7ff7eff7ffdf73fdffffff77e7fffdf7ffffef7ff1ff7ff57fdffbffdff7 7fffff77effff7ff7f77dffffbfdfff77fd7ffffff77ffd76ffdd7ffffff fffffffffffffffffffffffffffffffffffffffdffbbffe007ff87ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffbb ffe007ffbbffefff7ffff7fdfff77fdf77f7fff7f7df77fdffffff77f7ff fdf7ffffff7ff5ff7ff57fdff7ffdff77ffff777fffff7ff7f77dffff7fd fff77fd7f7ffff77ffd77ffddfffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffbbffefff7fffeffdffef7fdf6ffbfff7f7df 73fdffffff7bf3fffdefffffff7fedff7ff57fdfefffdfef7fffef7bffff f7ff7f77dffff3fdfff77fdbf3ffff6fffd77ffddfffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffc7ffefff7fffeffdffef 7fdeeffbfff7efde7bfdffffffbbfbfffdefffffff7fedff7ff57fdfefff dfef7fffefbbfffffbff7fb7dfffebfdfff6ffdbebffff6fffd77ffddfff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efff7fffdffdffdf7fdedffdfff7efde79fdffffffbdf9fffddfffffff7f ddff7ff57fdfdfffdfdf7fffdfbdfffffbff7fb7dfffedfdfff6ffddedff ff5fffd77ffddffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefff7fffdffdffdf7fdedffdfff7efde79fdffffffbd f9fffddfffffff7fddff7ff5bfdfdfffefdfbfffdfbdfffffbffbfbbefff edfefffaffededffff9fffebbffeefffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffeffeffffdffbffdeffbedffdffef efbef9fbffffffbdf9fffbdffffffeffdbfeffebbfbfdfffefdfbfffdfbd fffffbffbfbbefffedfefffaffededffff9fffebbffeefffffffffffffff fffffffffffffffffffffffffffffffdffbbffe007ffffffeffeffffbffb ffbeffbebffeffefefbefafbffffffbefafffbbffffffeffbbfeffebbfbf bfffefbfbfffbfbefffffbffbfbbefffeefefffaffeeeeffffbfffebbffe effffffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff ffffeffeffffbffbffbeffbdbffeffefdfbcfcfbffffffdefcfffbbfffff feffbbfeffebbfbfbfffefbfbfffbfdefffffdffbfdbefffdefefff9ffee deffffbfffebbffeefffffffffffffffffffffffffffffffffffffffffff fffdffbbffe007ffffffeffeffff7ffbff7effbd7fff7fefdfbcfd7bffff ffdf7d7ffb7ffffffeff7bfeffebbfbf7fffef7fbfff7fdf7ffffdffbfdb efffdf7efff9ffef5f7fff3fffebbffeefffffffffffffffffffffffffff fffffffffffffffffffdffbbffe007ffffffeffeffff7ffbff7effbd7fff 7fefdfbcfd7bffffffdf7d7ffb7ffffffeff7bfeffebbfbf7fffef7fbfff 7fdf7ffffdffbfdbefffdf7efff9ffef5f7fff3fffebbffeefffffffffff fffffffffffffffffffffffffffffffffffdffbbffe007ffffffeffeffff 7ffbff7effbd7fff7fefdfbcfd7bffffffdf7d7ffb7ffffffeff7bfeffeb bfbf7fffef7fbfff7fdf7ffffdffbfdbefffdf7efff9ffef5f7fff3fffeb bffeeffffffffffffffffffffffffffffffffffffffffffffffdffbbffe0 07ffffffeffefffefffbfefeffbcffffbfefdfbcfdbbffffffdfbdbffaff fffffefefbfeffebbfbeffffeeffbffeffdfbffffdffbfdbefffdfbefff9 ffef9fbffebfffebbffeefffffffffffffffffffffffffffffffffffffff fffffffdffc7ffe007ffffffeffefffefffbfefeffbaffffbfefbfbafebb ffffffefbebffafffffffefefbfeffebbfbeffffeeffbffeffefbffffeff bfebefffbfbefffbffefbfbffebfffebbffeefffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffeffefffdfffbfdfeffb9 ffffdfefbfbafedbffffffefdedff9fffffffefdfbfeffebbfbdffffedff bffdffefdffffeffbfebefffbfdefffbffef9fdffdbfffebbffeefffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffeffe fffdfffbfdfeffb9ffffdfefbfbafedbffffffefdedff9fffffffefdfbfe ffebdfbdfffff5ffdffdffefdffffeffdfedf7ffbfdf7ff9fff79fdffddf fff5dfff77fffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffeffdfffdfff7fdfdff79ffffdfdfbf79fed7ffffffefdedf f5fffffffdfdf7fdffd7df7dfffff5ffdffdffefdffffeffdfedf7ffbfdf 7ff9fff79fdffddffff5dfff77ffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ff83ffeffdfffbfff7fbfdff7bffffefdfbf79 fee7ffffffefeeeff3fffffffdfbf7fdffd7df7bfffff3ffdffbffefefff feffdfedf7ffbfef7ff9fff7afeffbdffff5dfff77ffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffbfffeffdfffbfff7fbfd ff73ffffefdf7f75ff67fffffff7ef6ff3fffffffdfbf7fdffd7df7bffff f3ffdffbfff7efffff7fdff5f7ff7fef7ff5fff76feffbdffff5dfff77ff fffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff87ff effdfff7fff7f7fdff77fffff7df7f75ff77fffffff7f777f7fffffffdf7 f7fdffd7df77fffff7ffdff7fff7f7ffff7fdff5f7ff7ff77ff5fff777f7 f7dffff5dfff77fffffffffffffffffffffffffffffffffffffffffffffd ff93ffe007fffbffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000007ffffffffffffffffffffff fffffffffffffffdffabffe007fffbffeffdfff7eff7f7fdff77fffffbdf 7f75ff77f7ffeff7ff77f3fffffffdf7effdffd7df77effff7ffdff7fff7 fbffff7fdff5f7ff7ff77ff5eff77ff7f3dffff5dfff7fffffffffffffff fffffffffffffffffffffffffffffffdffbbffe007ffbbffeffdffefdff7 f7fdff67fffffddf7f75ff73f7ffdff7ff7bf5fffffffdefdffdffd7df6f dffff7ffdfeffff7fdffff7fdff5f7ff7ffb7ff5dff77ffbf5dffff5dfff 7ffffffffffffffffffffffffffffffffffffffffffffffdffbbffe007ff c7ffeffdffefdff7effdff6ffffffddeff6dffb3efffdffbffbbf9ffffff fdefdffdffd7df6fdffffbffdfeffffbfdffffbfdff9fbfefffb7feddff6 fffbeddffff5dfff7fffffffffffffffffffffffffffffffffffffffffff fffdffbbffe007ffffffeffdffdfbff7effdff4ffffffedeff6dffb5efff bffbffbdfafffffffddfbffdffd7df5fbffffbffdfdffffbfeffffbfdff9 fbfefffd7fedbff6fffdeedffff5dfff7fffffffffffffffffffffffffff fffffffffffffffffffdffbbffe007ffffffeffdffdf7ff7effdff4fffff ff5eff6dffb5efff7ffbffbdfb7ffffffddf7ffdffd7ef5f7ffffbffefdf fffbff7fffbfeffafbfefffdbfee7ffafffdef6ffffaefffbfffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffeffbffde ffefeffbfecfffffffbefeebffadeffefffbffbdfbbffffffbdefffbffaf eedefffffbffefdffffbffbfffbfeffafbfefffdbfeefffafffdefaffffa efffbffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffeffbffbdffefeffbfeafffffff9efeebffaeeffdfffbffbefbdf fffffbbdfffbffafeebdfffffbffefbffffbffdfffbfeffafbfefffebfec fffafffeefcffffaefffbfffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffeffbffbdffefdffbfe9fffffff9dfedbffce dffdfffdffdefddffffffbbdfffbffafeebdfffffdffefbffffdffdfffdf effcfdfdfffebfdcfff9fffedfcffffaefffbfffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffeffbff7bffefdffbfe5f ffffffadfedbffcf5ffbfffdffdf7deffffffb7bfffbffafee7bfffffdff ef7ffffdffefffdfeffcfdfdffff3fdafff9ffff5feffffaefffbfffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffeffb ff77ffefdffbfe5fffffffb5fedbffcf5ff7fffdffdf7df7fffffb77fffb ffafee77fffffdffef7ffffdfff7ffdfeffcfdfdffff3fd6fff9ffff5fe7 fffaefffbffffffffffffffffffffffffffffffffffffffffffffffdff87 ffe007ffffffeffbff6fffefdffbfe5fffffffb9fedbffcf5feffffdffdf 7dfbfffffb6ffffbffafee6ffffffdffef7ffffdfffbffdfeffcfdfdffff 3fcefff9ffff5febfffaefffbfffffffffffffffffffffffffffffffffff fffffffffffdffbbffe007ffffffeffbfedfffefdffbfedfffffffbdfedb ffcf9fdffffdffdfbdfdfffffadffffbffafeedffffffdffeefffffdfffd ffdfeffcfdfdffffbfdefff9ffff9fedfffaefffbfffffffffffffffffff fffffffffffffffffffffffffffdffbbffe007ffffffeffbfedfffefbffb febfffffffb9febbffefbfdffffeffefbefdfffffadffffbffafeedfffff feffeefffffefffdffefeffefefbffffbf9efffbffffbfedfffaefffbfff fffffffffffffffffffffffffffffffffffffffffffdff87ffe007ffffff effbfdbfffefbffbfcbfffffffbafebbffef9fbffffeffefdefefffff9bf fffbffafecbffffffeffedfffffefffeffefeffefefbffff9fbefffbffff 9feefffaefffbffffffffffffffffffffffffffffffffffffffffffffffd ffbbffe007ffffffeffbfd7fffefbffbfcbfffffffbb7ebbffef9f7ffffe ffefdeff7ffff97ffffbffaff47ffffffefff5fffffeffff7feff7fe7efb ffffdf3f7ff9ffff9ff77ffd77ffdfffffffffffffffffffffffffffffff fffffffffffffffdffbbffe007ffffffeff7fcffffdfbff7fdbfffffff7b bdb7ffcf9efffffeffefdeffbffff4fffff7ff5ff4fffffffefff5fffffe ffffbfeff7fe7efbffffdebf7ff9ffff9ff7bffd77ffdfffffffffffffff fffffffffffffffffffffffffffffffdff87ffe007fff7ffeff7f9ffffdf bff7f9bfffffff7bddb7ffcfadfffffeffefeeffdffff1fffff7ff5ff1ff fffffefff3fffffeffffdfeff7fe7efbffffcdbf7ff9ffffaff7dffd77ff dffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff e7ffeff7f9ffffdf7ff7f97fffffff77dd77ffd76dffffff7ff7ef7fdfff f1fffff7ff5ff1ffffffff7ff3ffffff7fffdff7f7ff7f77ffffcd7f7ff5 ffff6ff7dffd77ffdfffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffd7ffeff7f3ffffdf7ff7f57fffffff77ed77ffd773ff ffff7ff7f77feffff3fffff7ff5ff1ffffffff7ff7ffffff7fffeff7f7ff 7f77ffffd37f7ff5ffff77f7effd77ffdfffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffb7ffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff fffffffffffffffffffffffffffffffffffdffffffe007ff83ffeff7f7ff ffdf7ff7f57fffffff77fd77f7d77fffffff7ff7ff7ffffff7fffff7ff5f f5ffffffff7ff7ffffff7ffffff7f7ff7f77ffffdf7f7ff5ffff7ff7fffd 7fffdffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07fff7ffeff7f7ffffdf7ff7f57fffffff77fd77f7d77fffffff7ff7ff7f fffff7fffff7ff5ff5ffffffff7ff7ffffff7ffffff7f7ff7f77ffffdf7f 7ff5ffff7ff7fffd7fffdfffffffffffffffffffffffffffffffffffffff fffffffdff83ffe007fff7ffeff7efffffdefff7ecffffffff6ffcf7efda ffffffffbffbffbffffffbfffff7ff5ff9ffffffffbffbffffffbffffffb fbff3fafffffdeff7fedfffefff7fffd7fffdfffffffffffffffffffffff fffffffffffffffffffffffdffbfffe007ffffffeff7efffffdefff7ecff ffffff6ffcf7efdaffffffffbffbffbffffffbfffff7ff5ff9ffffffffbf fbffffffbffffffbfbff3fafffffdeff7fedfffefff7fffd7fffdfffffff fffffffffffffffffffffffffffffffffffffffdffbfffe007ffffffeff7 efffffdefff7ecffffffff6ffcf7efdaffffffffbffbffbffffffbfffff7 ff5ff9ffffffffbffbffffffbffffffbfbffbfafffffeeffbfeefffefffb fffebfffeffffffffffffffffffffffffffffffffffffffffffffffdff87 ffe007ffffffefefefffffbeffefeafffffffeeffaefefbaffffffffbffb ffbffffffbffffeffebffbffffffffbffbffffffbffffffbfbffbfafffff eeffbfeefffefffbfffebfffefffffffffffffffffffffffffffffffffff fffffffffffdffbfffe007ffffffefefefffffbeffefeafffffffeeffaef efbaffffffffbffbffbffffffbffffeffebffbffffffffbffbffffffbfff fffbfbffbfafffffeeffbfeefffefffbfffebfffefffffffffffffffffff fffffffffffffffffffffffffffdffbfffe007ffffffefefdfffffbdffef d9fffffffedff9efdfbdffffffffdffdffdffffffdffffeffebff9ffffff ffdffdffffffdffffffdfdff9fdfffffedffbfdefffdfffbfffebfffefff fffffffffffffffffffffffffffffffffffffffffffdff83ffe007ffffff efefdfffffbdffefd9fffffffedff9efdfbdffffffffdffdffdffffffdff ffeffebff9ffffffffdffdffffffdffffffdfdff9fdfffffedffbfdefffd fffbfffebfffeffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefefdfffffbdffefd9fffffffedff9efdfbdffffffff dffdffdffffffdffffeffebff9ffffffffdffdffffffdffffffdfdff9fdf ffffedffbfdefffdfffbfffebfffefffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefefdfffffbdffefd9fffffffedf f9efdfbdffffffffdffdffdffffffdffffeffebff9ffffffffdffdffffff dffffffdfdff9fdfffffedffbfdefffdfffbfffebfffefffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefefdfffffbd ffefd9fffffffedff9efdfbdffffffffdffdffdffffffdffffeffebff9ff ffffffdffdffffffdffffffdfdff9fdfffffedffbfdefffdfffbfffebfff effffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefefbfffffbbffefbbfffffffebffbefbfbaffffffffeffeffefffff feffffeffebffaffffffffeffeffffffeffffffefeffafafffffebffbfbe fffbfffbfffebfffefffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefefbfffffbbffefbbfffffffebffbefbfbaffff ffffeffeffeffffffeffffeffebffaffffffffeffeffffffeffffffefeff afafffffebffbfbefffbfffbfffebfffefffffffffffffffffffffffffff fffffffffffffffffffdff87ffe007ffffffefefbfffffbbffefbbffffff febffbefbfbaffffffffeffeffeffffffeffffeffebffaffffffffeffeff ffffeffffffefeffcfaffffff3ffdfbf7ffbfffdffff5ffff7ffffffffff fffffffffffffffffffffffffffffffffffdffbbffe007ffffffefdfbfff ff7bffdfb3fffffffdbff3dfbf7affffffffeffeffeffffffeffffdffd7f f6ffffffffeffeffffffeffffffefeffcfaffffff3ffdfbf7ffbfffdffff 5ffff7fffffffffffffffffffffffffffffffffffffffffffffdffbbffe0 07ffc7ffefdfbfffff7bffdfb3fffffffdbff3dfbf7affffffffeffeffef fffffeffffdffd7ff6ffffffffeffeffffffeffffffefeffcfaffffff3ff dfbf7ffbfffdffff5ffff7ffffffffffffffffffffffffffffffffffffff fffffffdff87ffe007ffbbffefdf7fffff77ffdf77fffffffd7ff7df7f77 7ffffffff7ff7ff7ffffff7fffdffd7ff77ffffffff7ff7ffffff7ffffff 7f7fd777fffff7ffdf7f7ff7fffdffff5ffff7ffffffffffffffffffffff fffffffffffffffffffffffdffafffe007fffbffefdf7fffff77ffdf77ff fffffd7ff7df7f777ffffffff7ff7ff7ffffff7fffdffd7ff77ffffffff7 ff7ffffff7ffffff7f7fd777fffff7ffdf7f7ff7fffdffff5ffff7ffffff fffffffffffffffffffffffffffffffffffffffdffb7ffe007ffe7ffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffbb ffe007fffbffefdf7fffef77f7df73fffffffd7fefdf7f777fffeffff7ff 7ff7fffff37fffdffd7fef7ffffffff7ef7ff7fff3ffffff7f7fdf77efff f7ffdf7f7ff7f3fdffff5fffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffbbffefdf7fffdf77efdf79fffffffd7fdfdf 7f777fffdffffbff7ff7ffffed7fffdffd7fdf7ffffffff7df7feffff9ff ffff7f7fdf77dffffbffdf7f7ff7edfdffff5fffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffc7ffefdeffffdf6fefde f9fffffffcffdfdeff6fbfffdffffbffbffbffffedbfffdffd7fdfbfffff fffbdfbfeffff9ffffffbfbfdefbdffffbffdeff7fefedfdffff5fffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efdeffffbf6fdfdefcfffffffcffbfdeff6fbfffbffffdffbffbffffdebf ffdffd7fbfbffffffffbbfbfdffffcffffffbfbfdefbbffffdffdeff7fef defdffff5ffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefdeffff7f6fdfdefd7ffffffcff7fdeff6fbfff7fff fdffbffbffffdf3fffdffd7f7fbffffffffb7fbfdffffd7fffffbfbfeefb 7ffffdffeeffbfefdf7effffafffffffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefbefffefeefdfbefdbffffffafe ffbefeefbffefffffdffbffbffffdfbfffbffafeffbffffffffaffbfdfff fdbfffffbfbfeefafffffdffeeffbfefdfbeffffafffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefbefffdfeef bfbefedffffffafdffbefeefbffdfffffeffbffbffffbf9fffbffafdffbf fffffff9ffbfbffffedfffffbfbfeef9fffffeffeeffbfefbfdeffffafff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefbdfffdfedfbfbdfedffffff9fdffbdfedfdffdfffffeffdffdffff bfdfffbffafdffdffffffffdffdfbffffedfffffdfdfedfdfffffeffedff bfdfbfdeffffafffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefbdfffbfedf7fbdff6ffffff9fbffbdfedfdffb ffffff7fdffdffff7fcfffbffafbffdffffffff9ffdf7fffff6fffffdfdf edf9ffffff7fedffbfdf7feeffffafffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffefbdfff7fedf7fbdff77ffff f9f7ffbdfedfdff7ffffff7fdffdffff7fd7ffbffaf7ffdffffffff5ffdf 7fffff77ffffdfdfedf5ffffff7fedffbfdf7ff6ffffafffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefbdffef fedf7fbdff7bfffff9efffbdfedfdfefffffff7fdffdffff7fdbffbffaef ffdfffffffedffdf7fffff7bffffdfdfededffffff7fedffbfdf7ffaffff affffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefbdffdffedeffbdffbdfffff9dfffbdfedfdfdfffffffbfdffd fffeffddffbffadfffdfffffffddffdeffffffbdffffdfdfedddffffffbf edffbfdefffcffffafffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefbbffdffebeffbbffbdfffffbdfffbbfebf efdfffffffbfeffefffeffedffbffadfffefffffffdeffeeffffffbdffff efefebdeffffffbfebffbfbefffcffffafffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefbbffbffebdffbbffde fffffbbfffbbfebfefbfffffffdfeffefffdffeeffbffabfffefffffffbe ffedffffffdeffffefefebbeffffffdfebffbfbdfffeffffafffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefbb ff7ffebdffbbffdf7ffffb7fffbbfebfef7fffffffdfeffefffdffef7fbf fa7fffefffffff7effedffffffdf7fffefeff37effffffdff3ffdfbdffff 7fffd7fffffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffef7bfefffdbdff7bffdfbffff2ffff7bfdbfeeffffffffdf effefffdffefbf7ff4ffffeffffffefeffedffffffdfbfffefeff2feffff ffdff3ffdfbdffff3fffd7ffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffc7ffef7bfdfffdbbff7bffefdffff1ffff7b fdbfedffffffffefeffefffbffefdf7ff5ffffeffffffdfeffebffffffef dfffefeff1feffffffeff3ffdfbbffff5fffd7ffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffbbffef77fdfffd7bff77 ffefdffff5ffff77fd7ff5ffffffffeff7ff7ffbfff7df7ff5fffff7ffff fdff7ff3ffffffefdffff7f7f5ff7fffffeff7ffdf7bffff5fffd7ffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007fffbff ef77fbfffd77ff77fff7effff3ffff77fd7ff3fffffffff7f7ff7ff7fff7 ef7ff1fffff7fffffbff7ff7fffffff7effff7f7f3ff7ffffff7f7ffdf77 ffff6fffd7fffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007fff7ffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000007ffffffffffffffffffffff fffffffffffffffdffffffe007ffefffef77f7fffd77ff77f7f7fffff7ff ff77fd7ff7fffffffff7f7ff7ff7fff7ff7ff5fffff7fffff7ff7ff7ffff f7f7fffffff7f7ff7ffffff7f7ffdf77ffff7fffdfffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffdfffef77effffd6f ff77effbfffffbffff77fd7ffbfffffffffbfbff7feffff7ff7fedfffff7 ffffefff7fe7ffffeffbfffffff7fbff7ffffffbfbffdf6fffff7fffdfff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff 83ffef6feffffcefff6feffbfffffbffff6ffcfffbfffffffffbfbffbfef fffbff7fedfffffbffffefffbfebffffeffbfffffffbfbffbffffffbfbff deefffff7fffdfffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffef6fdffffcdfff6fdffdfffffdffff6ffcfffdff fffffffdfdffbfdffffbff7fddfffffbffffdfffbfdbffffdffdfffffffb fdffbffffffdfdffdedfffff7fffdfffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffef6fdffffcdfff6fdffdffff fdffff6ffcfffdfffffffffdfdffbfdffffbff7fddfffffbffffdfffbfdb ffffdffdfffffffbfdffbffffffdfdffeedfffffbfffefffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffeeefdfff fadffeefdffdfffffdfffeeffafffdfffffffffdfdffbfdffffbfeffdbff fffbffffdfffbfdbffffdffdfffffffbfdffbffffffdfdffeedfffffbfff effffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffeeefbffffabffeefbffefffffefffeeffafffefffffffffefeff bfbffffbfeffbbfffffbffffbfffbfbbffffbffefffffffbfeffbffffffe feffeebfffffbfffefffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffeedfbffff9bffedfbffefffffefffedff9ff fefffffffffefeffdfbffffdfeffbbfffffdffffbfffdfbdffffbffeffff fffdfeffdffffffefeffedbfffffbfffefffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffeedf7ffff97ffedf7fff 7fffff7ffedff9ffff7fffffffff7f7fdf7ffffdfeff7bfffffdffff7fff df7dffff7fff7ffffffdff7fdfffffff7f7fed7fffffbfffefffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffeedf 7ffff97ffedf7fff7fffff7ffedff9ffff7fffffffff7f7fdf7ffffdfeff 7bfffffdffff7fffdf7dffff7fff7ffffffdff7fdfffffff7f7fed7fffff bfffeffffffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffeedf7ffff97ffedf7fff7fffff7ffedff9ffff7fffffffff 7f7fdf7ffffdfeff7bfffffdffff7fffdf7dffff7fff7ffffffdff7fdfff ffff7f7fed7fffffbfffefffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffeedefffff8fffedeffffbfffffbffedf f9ffffbfffffffffbfbfdefffffdfefefbfffffdfffeffffdefdfffeffff bffffffdffbfdfffffffbfbfecffffffbfffefffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffeebefffffafffebe ffffbfffffbffebffbffffbfffffffffbfbfeefffffefefefbfffffefffe ffffeefefffeffffbffffffeffbfefffffffbfbfeaffffffbfffefffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff eebdfffff9fffebdffffdfffffdffebffbffffdfffffffffdfdfedfffffe fefdfbfffffefffdffffedfefffdffffdffffffeffdfefffffffdfdfe9ff ffffbfffeffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffeebdfffff9fffebdffffdfffffdffebffbffffdfffff ffffdfdfedfffffefefdfbfffffefffdffffedfefffdffffdffffffeffdf efffffffdfdff1ffffffdffff7ffffffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffedbdfffff1fffdbdffffdfffffdf fdbff3ffffdfffffffffdfdfedfffffefdfdf7fffffefffdffffedfefffd ffffdffffffeffdfefffffffdfdff1ffffffdffff7ffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffefffedbbfffff3ff fdbbffffefffffeffdbff3ffffefffffffffefefebfffffefdfbf7fffffe fffbffffebfefffbffffeffffffeffefefffffffefeff3ffffffdffff7ff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff cfffed7bfffff3fffd7bffffefffffeffd7ff7ffffefffffffffefeff3ff ffff7dfbf7ffffff7ffbfffff3ff7ffbffffefffffff7feff7ffffffefef f3ffffffdffff7ffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffefffed77fffff7fffd77fffff7fffff7fd7ff7fffff7 fffffffff7f7f7ffffff7df7f7ffffff7ff7fffff7ff7ff7fffff7ffffff 7ff7f7fffffff7f7f7ffffffdffff7ffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffefffe00000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000007ff fffffffffffffffffffffffffffffffffffdffffffe007ffefffed77efff fbfffd77fffffbfffff7fd7feffffff7ffffeffffff7fbffffff7df7efff ffff7ff7efffffff7ff7fffffbffffff7ff7ffffeffffff7fbffffffdfff fffffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffefffed6fdffffdfffd6ffffffdfffffbfd7fdffffffbffffdffffffb fdffffff7defdfffffff7fefdfffffff7feffffffdffffff7ffbffffdfff fffbfdffffffdfffffffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffc7ffecefdffffdfffceffffffdfffffbfcffdfff fffbffffdffffffbfdffffffbdefdfffffffbfefdfffffffbfeffffffdff ffffbffbffffdffffffbfdffffffdfffffffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffecdfbffffefffcdfffff fefffffdfcffbffffffdffffbffffffdfeffffffbddfbfffffffbfdfbfff ffffbfdffffffeffffffbffdffffbffffffdfeffffffdfffffffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffecdf 7fffff7ffcdfffffff7ffffdfcff7ffffffdffff7ffffffdff7fffffbddf 7fffffffbfdf7fffffffbfdfffffff7fffffbffdffff7ffffffdff7fffff effffffffffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffeadeffffffbffadfffffffbffffdfafefffffffdfffeffff fffdffbfffffbbdeffffffffbfdeffffffffbfdfffffffbfffffbffdfffe fffffffdffbfffffefffffffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffeabdffffffdffabfffffffdffffefafd fffffffefffdfffffffeffdfffffbbbdffffffffbfbdffffffffbfbfffff ffdfffffbffefffdfffffffeffdfffffefffffffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffe9bdffffffdff9bf ffffffdffffef9fdfffffffefffdfffffffeffdfffffdbbdffffffffdfbd ffffffffdfbfffffffdfffffdffefffdfffffffeffdfffffefffffffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff e97bffffffeff97fffffffefffff79fbffffffff7ffbffffffff7fefffff db7bffffffffdf7bffffffffdf7fffffffefffffdfff7ffbffffffff7fef ffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffe977fffffff7f97ffffffff7ffff79f7ffffffff7ff7 ffffffff7ff7ffffdb77ffffffffdf77ffffffffdf7ffffffff7ffffdfff 7ff7ffffffff7ff7ffffefffffffffffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffe96ffffffffbf97ffffffffbffff 79efffffffff7fefffffffff7ffbffffdb6fffffffffdf6fffffffffdf7f fffffffbffffdfff7fefffffffff7ffbffffefffffffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffe8dffffffffd f8fffffffffdffffb9dfffffffffbfdfffffffffbffdffffdadfffffffff dedfffffffffdefffffffffdffffdfffbfdfffffffffbffdffffefffffff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffeadffffffffdfafffffffffdffffbbdfffffffffbfdfffffffffbffd ffffeadfffffffffeedfffffffffeefffffffffdffffefffbfdfffffffff bffdffffefffffffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffe9bffffffffef9fffffffffeffffdbbfffffffff dfbfffffffffdffeffffe9bfffffffffedbfffffffffedfffffffffeffff efffdfbfffffffffdffeffffefffffffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffe97fffffffff79ffffffffff 7fffdb7fffffffffdf7fffffffffdfff7fffe97fffffffffed7fffffffff edffffffffff7fffefffdf7fffffffffdfff7ffff7ffffffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffe0ffffff ffffb1ffffffffffbfffd2ffffffffffdeffffffffffdfffbfffe4ffffff ffffecffffffffffedffffffffffbfffefffdeffffffffffdfffbffff7ff fffffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffc7ffe1ffffffffffd3ffffffffffdfffe1ffffffffffedffffffffff efffdfffe1ffffffffffe9ffffffffffebffffffffffdfffefffedffffff ffffefffdffff7ffffffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffbbffe1ffffffffffd3ffffffffffdfffe5ffffff ffffedffffffffffefffdffff1fffffffffff1fffffffffff3ffffffffff dffff7ffedffffffffffefffdffff7ffffffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffb3ffe3ffffffffffe7ffffff ffffeffff3fffffffffff3fffffffffff7ffeffff3fffffffffff3ffffff fffff7ffffffffffeffff7fff3fffffffffff7ffeffff7ffffffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffabffe000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000007fffffffffffffffffffffffffffffffffffffdffff ffe007ff9bffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffbbffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffc7ffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffefffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffdffffffe007ffffffefffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffdffffffe007ffffffefffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffdffffffe007ff ffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffdffffffe007ffffffefffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffdffffffe007ffffffefffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffdffffffe007ffffffefffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffdffffffe0 07ffffffefffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffdffffffe007ffffffefffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffdffffffe007ffffffefffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffdffffffe007ffffffefff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffdffff ffe007ffffffefffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffdffffffe007ffffffefffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffdffffffe007ffffffefffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffdffffffe007ffffff efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffe007ffffffe0000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000001ffffffe007ffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffe007ffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffe007ff fff1ffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffff063741fffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ee0c7fffffe007ffffeeffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffdf725ffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffcfebbfffffe007ffffecffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffdf755ffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffefdbbfffffe007ffffeaffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffdf7743fffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffefdc7fffffe0 07ffffe6ffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffdf775ffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffefbbbfffffe007ffffeeffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffdf775ffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffefbbbfffffe007fffff1ffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffde3741fffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffc7bc7fffffe007ffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffe007ffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffe007ffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffe007ffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffe007ffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffe00000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000 grestore showpage %%EndDocument @endspecial 1881 2348 V 67 2350 1816 2 v 0 2490 a(Figure)f(5:)20 b(In)o(terlea)o(ving)15 b(of)f(the)g(di\013eren)o(t)g(rotated)g(spanning)h (binomial)h(broadcast)d(trees)h(during)h(our)f(imple-)0 2603 y(men)o(tation)h(of)g(the)g(Successiv)o(e)i(Broadcasts)d(Algorithm)i(on)f(a)g (4-cub)q(e.)952 2795 y(15)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF .