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/fMOP fmGG{nulldevice}{fMNg{{10000000 div}}{{10000000 div 1 exch sub}}ifelse
fm_su}ifelse}FmBD fML1{/Fmi{save userdict/fM7 3 -1 roll put/fM9 F def{{dup
length dup 1 sub/fMGL fmXD array/fMGC fmXD/fMBC fmXD/fMNC fmXD/fMRC fmXD fMeb
fMCP ne{fmSC{fMGL mul cvi fMGC exch get}currenttransfer fmcp fm_su}{fMCE{
currentcolortransfer/gryt fmXD/blut fmXD/grnt fmXD/redt fmXD 0 1 fMGL{/fMIx
fmXD/fMUC 1 fMRC fMIx get sub def/fMUM 1 fMNC fMIx get sub def/fMUY 1 fMBC fMIx
get sub def/fMk fMUC fMUM fmin fMUY fmin def/FmU fMk/currentundercolorremoval
where{pop currentundercolorremoval exec}{pop 0}ifelse def fMRC fMIx 1 0 fMUC
FmU sub fmax sub redt exec put fMNC fMIx 1 0 fMUM FmU sub fmax sub grnt exec
put fMBC fMIx 1 0 fMUY FmU sub fmax sub blut exec put fMGC fMIx 1 fMk
/currentblackgeneration where{pop currentblackgeneration exec}{}ifelse sub gryt
exec put}for{fMGL mul cvi fMRC exch get}{fMGL mul cvi fMNC exch get}{fMGL mul
cvi fMBC exch get}{fMGL mul cvi fMGC exch get}setcolortransfer
/setundercolorremoval where{pop{pop 0}setundercolorremoval}if
/setblackgeneration where{pop{}setblackgeneration}if/fM9 T def}{0 1 fMGL{fMGC
exch dup dup fMRC exch get .3 mul exch dup fMNC exch get .59 mul exch fMBC exch
get .11 mul add add put}for{fMGL mul cvi fMGC exch get}currenttransfer fmcp
fm_su}ifelse}ifelse}{fMeb dup fMK eq exch fMCP eq or{dup length 1 sub/fMGL fmXD
/fMGC fmXD{fMGL mul cvi fMGC exch get}currenttransfer fmcp fm_su}{pop fmSW}
ifelse}ifelse}{fMeb dup fMK eq exch fMCP eq or{{{1 exch sub}currenttransfer
fmcp fm_su}if}{pop fmSW}ifelse}ifelse/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw
fmXD/fMcl fmXD translate rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT
mul 1 exch sub}currenttransfer exch fmcp fm_su}if/fMi1 fM8 string def fMcl fMrw
fM6[fMcl 0 0 fMrw fMcl 2 div fMrw 2 div]{currentfile fMi1 fM5{readstring}{
readhexstring}ifelse pop}fM9{{fMi1}{fMi1}T 3 SysColorimage}{fm_si}ifelse fM7
restore}FmBD}{/Fmi{save userdict/fM7 3 -1 roll put/fM9 F def{{dup length dup 1
sub/fMGL fmXD array/fMGC fmXD/fMBC fmXD/fMNC fmXD/fMRC fmXD fMeb fMCP ne{fmSC[
/Indexed/DeviceGray fMGL{fMGC exch get}]setcolorspace}{[/Indexed/DeviceRGB fMGL
{dup fMRC exch get exch dup fMNC exch get exch fMBC exch get}]setcolorspace}
ifelse}{dup length 1 sub/fMGL fmXD/fMGC fmXD[/Indexed/DeviceGray fMGL{fMGC exch
get}]setcolorspace fMeb dup fMK ne exch fMCP ne and{fmSW}if}ifelse}{1 5 index
bitshift 1 sub/fMGL fmXD[/Indexed/DeviceGray fMGL 5 -1 roll{{fMGL div 1 exch
sub}}{{fMGL div}}ifelse]setcolorspace fMeb dup fMK ne exch fMCP ne and{fmSW}if}
ifelse/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD translate
rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}
currenttransfer exch fmcp fm_su}if/fMi1 fM8 string def 7 dict begin/ImageType 1
def/Width fMcl def/Height fMrw def/ImageMatrix[fMcl 0 0 fMrw fMcl 2 div fMrw 2
div]def/DataSource{currentfile fMi1 fM5{readstring}{readhexstring}ifelse pop}
def/BitsPerComponent fM6 def/Decode[0 fMGL]def currentdict end fm_si fM7
restore}FmBD}ifelse/fmIv{[{1 exch sub}/exec load dup currenttransfer exch]cvx
bind fm_su}FmBD/fm3b{dup fMCP eq{pop 0 1 4 index length 1 sub{3 index 1 index
get .3 mul 3 index 2 index get .59 mul 3 index 3 index get .11 mul add add
round cvi 4 index 3 1 roll put}for pop pop}{/fmRY fmGG 0 1 6 index length 1 sub
{5 index 1 index get 255 div 5 index 2 index get 255 div 5 index 3 index get
255 div 4 index exec 6 index fMC eq{pop pop pop}{6 index fMM eq{pop pop exch
pop}{6 index fMY eq{pop 3 1 roll pop pop}{6 index fMK eq{4 1 roll pop pop pop}{
pop pop pop pop 0}ifelse}ifelse}ifelse}ifelse 255 mul round cvi 6 index 3 1
roll put}for pop pop pop pop}ifelse}FmBD/Fmci{save userdict/fM7 3 -1 roll put
/fMIT fmXD/fM5 fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD/fMi1 fM8 string def
/fM0 fM8 3 idiv def/fMs fMi1 0 fM0 getinterval def/fMs2 fMi1 fM0 dup
getinterval def/fMs3 fMi1 fM0 dup 2 mul exch getinterval def translate rotate
scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}currenttransfer
exch fmcp fm_su}if fMcl fMrw fM6[fMcl 0 0 fMrw fMcl 2 div fMrw 2 div]fMeb fMCP
eq fMCE and{{currentfile fMi1 fM5{readstring}{readhexstring}ifelse pop pop fMs}
{fMs2}{fMs3}T 3 SysColorimage}{{fmIv currentfile fMi1 fM5{readstring}{
readhexstring}ifelse pop pop fMs fMs2 fMs3 fMeb fm3b}fm_si}ifelse fM7 restore}
FmBD/fm4b{dup fMCP eq{pop 0 1 5 index length 1 sub{2 copy get dup 6 index 3
index get add 255 fmin .3 mul 1 index 6 index 4 index get add 255 fmin .59 mul
3 -1 roll 5 index 4 index get add 255 fmin .11 mul add add round cvi 5 index 3
1 roll put}for pop pop pop}{dup fMC eq{pop pop pop pop}{dup fMM eq{pop pop pop
exch pop}{dup fMY eq{pop pop exch pop exch pop}{fMK eq{4 1 roll pop pop pop}{
pop pop pop 0 1 2 index length 1 sub{1 index exch 0 put}for}ifelse}ifelse}
ifelse}ifelse}ifelse}FmBD/Fmc4{save userdict/fM7 3 -1 roll put/fMIT fmXD/fM5
fmXD/fM8 fmXD/fM6 fmXD/fMrw fmXD/fMcl fmXD/fMi1 fM8 string def/fM0 fM8 4 idiv
def/fMs fMi1 0 fM0 getinterval def/fMs2 fMi1 fM0 dup getinterval def/fMs3 fMi1
fM0 dup 2 mul exch getinterval def/fMs4 fMi1 fM0 dup 3 mul exch getinterval def
translate rotate scale{-1 1 scale}if fMIT 1 ne{{1 exch sub fMIT mul 1 exch sub}
currenttransfer exch fmcp fm_su}if fMcl fMrw fM6[fMcl 0 0 fMrw fMcl 2 div fMrw
2 div]fMeb fMCP eq fMCE and{{currentfile fMi1 fM5{readstring}{readhexstring}
ifelse pop pop fMs}{fMs2}{fMs3}{fMs4}T 4 SysColorimage}{fmIv{currentfile fMi1
fM5{readstring}{readhexstring}ifelse pop pop fMs fMs2 fMs3 fMs4 fMeb fm4b}fm_si
}ifelse fM7 restore}FmBD fML1{/fmAn{transform round .5 sub exch round .5 sub
exch itransform}FmBD/fmAc{transform round 1.5 sub exch round 1.5 sub exch
itransform}FmBD/fmDn{dtransform round exch round exch idtransform}FmBD/fmLn{0
dtransform exch cvi 2 idiv 2 mul .1 add exch idtransform pop}FmBD/FmCv{fmDn 6 2
roll fmDn 6 2 roll fmDn 6 2 roll rcurveto}FmBD}{T setstrokeadjust/fmAn{}FmBD
/fmAc{}FmBD/fmDn{}FmBD/fmLn{}FmBD/FmCv{rcurveto}FmBD}ifelse/FmM{fmAn moveto}
FmBD/M{moveto}FmBD/N{0 rmoveto}FmBD/S{fm_s}FmBD/A{0 exch fm_a}FmBD/W{0 exch 32
exch fm_w}FmBD/X{0 exch 0 32 5 2 roll fm_y}FmBD/fmQP{fML1 fMGM or not{FmG dup 1
fm_g exec FmR}if exec}FmBD/FmB{newpath fmAn moveto}FmBD/FmL{rlineto}FmBD/FmAL{
fmAn lineto}FmBD/FmSo{fmLn setlinewidth setlinecap{fm_t}fmQP 0 0 moveto}FmBD
/FmS{fmLn setlinewidth closepath{fm_t}fmQP 0 0 moveto}FmBD/FmDS{fmLn
setlinewidth setlinecap{closepath}if setdash{fm_t}fmQP[]0 setdash 0 0 moveto}
FmBD/FmFl{FmG{fm_e}fmQP FmR}FmBD/fmq{fmDn 4 2 roll fmAn newpath moveto 1 index
0 rlineto 0 exch rlineto neg 0 rlineto closepath}FmBD/FmqP{fmq fmLn
setlinewidth{fm_t}fmQP 0 0 moveto}FmBD/FmqF{fmq FmG{fm_f}fmQP FmR}FmBD/FmKp{{
currentpoint}stopped{F 5 1 roll}{T 7 3 roll}ifelse fmDn 4 2 roll fmAn newpath
moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath clip{moveto}{
newpath}ifelse}FmBD/FmKb{{currentpoint}stopped}FmBD/FmKe{clip{newpath}{moveto}
ifelse}FmBD/FmAF{FmG newpath fmAn translate not{0.0 0.0 moveto}if rotate fmDn
scale 0.0 0.0 1.0 5 3 roll arc closepath{fm_f}fmQP FmR}FmBD/FmAP{FmG{setdash}if
fmLn setlinewidth setlinecap fmSM newpath 2 index 2 div add exch 3 index 2 div
sub exch fmAn 2 index 2 div sub exch 3 index 2 div add exch translate rotate
scale 0.0 0.0 1.0 5 3 roll exch arcn{closepath}if fmRM{fm_t}fmQP FmR}FmBD/FmST{
FmG fmAn translate .3 fmLn setlinewidth 0 setlinecap 0 setlinejoin newpath 1
fm_g 0 0 10 0 360 arc fm_f 0 fm_g 0 0 10 0 360 arc fm_t 36{1 0 moveto 0 0 10
-2.5 2.5 arc fm_f 10 rotate}repeat FmR}FmBD/FmSL{FmG fmAn translate .25 fmLn
setlinewidth 0 setlinecap 0 setlinejoin newpath 1 fm_g 0 0 10 0 360 arc fm_f 0
fm_g 10 .5 fmLn neg .1{0 0 3 -1 roll 0 360 arc fm_t}for FmR}FmBD/fMCP 0 def/fMC
1 def/fMM 2 def/fMY 3 def/fMK 4 def/fMS 5 def/fMN 6 def/fMNg 0 currenttransfer
exec .5 gt def/fMib fMCP def/fMJK 0 def/fMJY 0 def/fMJM 0 def/fMJC 0 def/fMJR 1
def/fMJG 1 def/fMJB 1 def/fMPG 0 def/fMTV 1 def/fMPt null def/fMCK[0 0 0 1
(Black)0 0 0]def/fmCH{fML1{14 dict dup begin fMCE{/HalftoneType 2 def
currentcolorscreen[/GraySpotFunction/GrayAngle/GrayFrequency/BlueSpotFunction
/BlueAngle/BlueFrequency/GreenSpotFunction/GreenAngle/GreenFrequency
/RedSpotFunction/RedAngle/RedFrequency]{exch def}forall}{/HalftoneType 1 def
currentscreen[/SpotFunction/Angle/Frequency]{exch def}forall}ifelse statusdict
/checkscreen known{statusdict/accuratescreens get exec}{F}ifelse
/AccurateScreens exch def end}{currenthalftone}ifelse}FmBD/fmSH{fML1 fMeb fMCP
ne or{begin statusdict/checkscreen known{currentdict/AccurateScreens known{
AccurateScreens}{F}ifelse statusdict/setaccuratescreens get exec}if
HalftoneType 1 eq{Frequency Angle/SpotFunction load setscreen}{HalftoneType 2
eq{fMeb fMCP eq fMCE and{RedFrequency RedAngle/RedSpotFunction load
GreenFrequency GreenAngle/GreenSpotFunction load BlueFrequency BlueAngle
/BlueSpotFunction load GrayFrequency GrayAngle/GraySpotFunction load
setcolorscreen}{fMeb fMC eq{RedFrequency RedAngle/RedSpotFunction load}{fMeb
fMM eq{GreenFrequency GreenAngle/GreenSpotFunction load}{fMeb fMY eq{
BlueFrequency BlueAngle/BlueSpotFunction load}{fMeb fMY eq currentdict
/BlackFrequency known and{BlackFrequency BlackAngle/BlackSpotFunction load}{
GrayFrequency GrayAngle/GraySpotFunction load}ifelse}ifelse}ifelse}ifelse
setscreen}ifelse}if}ifelse end}{sethalftone}ifelse}FmBD/FmCS{17 dict begin
/HalftoneType 2 def/AccurateScreens exch def/GraySpotFunction exch def
/GrayAngle exch def/GrayFrequency exch def/BlackSpotFunction exch def
/BlackAngle exch def/BlackFrequency exch def/BlueSpotFunction exch def
/BlueAngle exch def/BlueFrequency exch def/GreenSpotFunction exch def
/GreenAngle exch def/GreenFrequency exch def/RedSpotFunction exch def/RedAngle
exch def/RedFrequency exch def currentdict dup end/fMPH exch def fmSH}FmBD/FmSS
{5 dict begin/HalftoneType 1 def/AccurateScreens exch def/SpotFunction exch def
/Angle exch def/Frequency exch def currentdict dup end/fMPH exch def fmSH}FmBD
/fMPH fmCH def/fmcp{cvlit exch cvlit exch 2 copy length exch length add array
dup 0 4 index putinterval dup 3 index length 3 index putinterval 3 1 roll pop
pop cvx}FmBD/fmEp{sub dup 0 lt{neg}if .001 le}FmBD/fmQC{2 copy 0 get exch 0 get
fmEp{2 copy 1 get exch 1 get fmEp{2 copy 2 get exch 2 get fmEp{3 get exch 3 get
fmEp}{pop pop F}ifelse}{pop pop F}ifelse}{pop pop F}ifelse}FmBD/fmQR{2 copy 5
get exch 0 get fmEp{2 copy 6 get exch 1 get fmEp{7 get exch 2 get fmEp}{pop pop
F}ifelse}{pop pop F}ifelse}FmBD/FmSC{/fMib fMS def/fMJB fmXD/fMJG fmXD/fMJR
fmXD/fMCN fmXD/fMJK fmXD/fMJY fmXD/fMJM fmXD/fMJC fmXD}FmBD/FmSP{/fMib fmXD
fmGb fmCC}FmBD/fMSC 1 dict def/FrameSetSpotColors{dict FrameMacDict/fMSC 3 -1
roll put}fmBi def/FrameSpot{FrameMacDict/fMSC get exch dup 4 get exch put}fmBi
def/fMGM T def/fm4q{4{4 index eq 8 1 roll}repeat pop pop pop pop and and and}
FmBD/fmGb{/fMeb fMCP def/fMcu/setcustomcolor where{pop T}{F}ifelse def/fMsg
/setseparationgray where{pop T}{F}ifelse def/setcmykcolor where{/fMSD T def
/setcmykcolor get dup/fm_x fmXD/fmSK fmXD}{/fMSD F def/fmSK{4 1 roll 3{3 index
add 0 fmax 1 fmin 1 exch sub 3 1 roll}repeat fm_r pop}FmBD}ifelse fMSD{fMcu{0
fm_sx exec 1 fm_sx exec eq{/fMeb fMN store}{/fm_x where{pop 1 0 0 0 fm_x fm_sc
0 1 0 0 fm_x fm_sc 0 0 1 0 fm_x fm_sc 0 0 0 1 fm_x fm_sc 4{4 copy}repeat 0 1 1
1 fm4q{/fMeb fMC store}if 1 0 1 1 fm4q{/fMeb fMM store}if 1 1 0 1 fm4q{/fMeb
fMY store}if 1 1 1 0 fm4q{/fMeb fMK store}if 1 1 1 1 fm4q{/fMeb fMN store}if}if
}ifelse}if}if}FmBD/fmCC{/fMND F def/fMCT fMTV 1 fMPG sub mul def fMib fMCP eq{
fMGM fML1 or not{fMeb fMCP eq{fMAB not{[/Pattern[/DeviceCMYK]]setcolorspace
fMCK 0 4 getinterval aload pop fMCT 1 lt{4{fMCT mul 4 1 roll}repeat}if}{[
/Pattern[/DeviceRGB]]setcolorspace fMCK 5 3 getinterval aload pop fMCT 1 lt{3{1
exch sub fMCT mul 1 exch sub 3 1 roll}repeat}if}ifelse}{fMcu fMCS and{fMCK 0 5
getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{0 1 3{fMCK exch
get fMCT mul}for fm_x}ifelse currentgray[/Pattern[/DeviceGray]]setcolorspace}
ifelse fMPt setcolor}{fMsg fMCR and{1 fMCT sub setseparationgray}{fMcu fMCS and
{fMCK 0 5 getinterval aload pop findcmykcustomcolor fMCT setcustomcolor}{fMAB
not fMSD and{0 1 3{fMCK exch get fMCT mul}for fm_x}{5 1 7{fMCK exch get 1 exch
sub fMCT mul 1 exch sub}for fm_r}ifelse}ifelse}ifelse}ifelse}{fMGM fML1 or not{
[/Pattern[/DeviceGray]]setcolorspace 1 fMCT sub fMPt setcolor}{1 fMCT sub fm_g}
ifelse}ifelse}FmBD/K{fMCK astore pop/fMCS T def/fMCR F def/fMTV exch def fmCC}
FmBD/H{0 0 0 1(Black)0 0 0 fMCK astore pop/fMCS F def/fMCR T def/fMTV exch def
fmCC}FmBD/fMCS F def/fMCR F def/fmPK{fMCK astore pop/fMCS F def/fMCR F def/fMTV
exch def fmCC}FmBD/FmCC{1 0 0 0(Cyan)0 1 1 fmPK}FmBD/FmCM{0 1 0 0(Magenta)1 0 1
fmPK}FmBD/FmCY{0 0 1 0(Yellow)1 1 0 fmPK}FmBD/FmCK{0 0 0 1(Black)0 0 0 fmPK}
FmBD/G{FmCK}FmBD/B{1 G}FmBD/FmOP/setoverprint where{pop/setoverprint}{/pop}
ifelse load def fML1{/patScreenDict 7 dict dup begin<0f1e3c78f0e1c387>[45{pop}{
exch pop}.5 2 sqrt]FmBD<0f87c3e1f0783c1e>[135{pop}{exch pop}.5 2 sqrt]FmBD<cccc
cccccccccccc>[0{pop}dup .5 2]FmBD<ffff0000ffff0000>[90{pop}dup .5 2]FmBD<814224
1818244281>[45{2 copy lt{exch}if pop}dup .75 2 sqrt]FmBD<0102040810204080>[45{
pop}{exch pop}.875 2 sqrt]FmBD<8040201008040201>[135{pop}{exch pop}.875 2 sqrt]
FmBD end def}{/fMPP 5 dict dup begin<0f87c3e1f0783c1e>{3 setlinewidth -1 -1
moveto 9 9 lineto fm_t 4 -4 moveto 12 4 lineto fm_t -4 4 moveto 4 12 lineto
fm_t}FmBD<0f1e3c78f0e1c387>{3 setlinewidth -1 9 moveto 9 -1 lineto fm_t -4 4
moveto 4 -4 lineto fm_t 4 12 moveto 12 4 lineto fm_t}FmBD<8142241818244281>{1
setlinewidth -1 9 moveto 9 -1 lineto fm_t -1 -1 moveto 9 9 lineto fm_t}FmBD<80
40201008040201>{1 setlinewidth -1 -1 moveto 9 9 lineto fm_t 4 -4 moveto 12 4
lineto fm_t -4 4 moveto 4 12 lineto fm_t}FmBD<0102040810204080>{1 setlinewidth
-1 9 moveto 9 -1 lineto fm_t -4 4 moveto 4 -4 lineto fm_t 4 12 moveto 12 4
lineto fm_t}FmBD end def/fMPD 15 dict dup begin/PatternType 1 def/PaintType 2
def/TilingType 3 def/BBox[0 0 8 8]def/XStep 8 def/YStep 8 def/PaintProc{begin
fMPP fmBS known{fMPP fmBS get exec}{8 8 T[1 0 0 -1 0 8]fmBS fm_m}ifelse end}
FmBD end def}ifelse/fMdp 72 0 fMdm defaultmatrix dtransform dup mul exch dup
mul add sqrt def/freq fMdp dup 72 div round dup 0 eq{pop 1}if 8 mul div def
/sangle 1 0 fMdm defaultmatrix dtransform exch atan def sangle fMa2 rotate fMdm
defaultmatrix fMa2 concatmatrix dup 0 get/sflipx exch def 3 get/sflipy exch def
fML1{/fmgF{fMa2 exch get mul 0 lt{-1}{1}ifelse}FmBD}if/fmPM fML1{{dup
patScreenDict exch known{patScreenDict exch get aload pop freq mul 5 2 roll
fMa2 currentmatrix 1 get 0 ne{3 -1 roll 90 add 3 1 roll sflipx 1 fmgF sflipy 2
fmgF mul}{sflipx 0 fmgF sflipy 3 fmgF neg mul}ifelse 0 lt{exch pop}{pop}ifelse
fMNg{{neg}fmcp}if bind systemdict/setscreen get exec}{/fmBS fmXD/fM1B 0 def
/fM0B 0 def freq 0 fMa2 currentmatrix 1 get 0 ne{90 add/pflipx sflipx 1 fmgF
def/pflipy sflipy 2 fmgF def}{/pflipx sflipx 0 fmgF def/pflipy sflipy 3 fmgF
neg def}ifelse{pflipy mul/yy fmXD pflipx mul/xx fmXD/xindex xx 1 add 2 div 8
mul cvi def/yindex yy 1 add 2 div 8 mul cvi def fmBS yindex xindex 8 idiv add
get 1 7 xindex 8 mod sub bitshift and 0 ne fMNg{not}if{/fM1B fM1B 1 add def 1}{
/fM0B fM0B 1 add def 0}ifelse}setscreen fM0B fM0B fM1B add div fMNg{1.0 exch
sub}if}ifelse/fMPG exch def/fMGM F def fmCC}}{/fMPC 8 dict def{dup fMPC exch
known{fMPC exch get}{dup fMPD/fmBS 3 -1 roll put fMPD matrix makepattern dup
fMPC 4 -1 roll 3 -1 roll put}ifelse/fMPt exch def/fMPG 0 def/fMGM F def fmCC}}
ifelse FmBD/fmgr{fMGM not{/fMGM T def fML1{fMPH fmSH}if}if/fMPG exch def fmCC}
FmBD/FmP{FrameFillPatternsArray exch get dup type/stringtype eq{fmPM}{fmgr}
ifelse}FmBD/fMEd 40 dict def/fmPE{fMEd 3 1 roll fmBi put}bind def/fmgS 32 array
def/fMgt 0 def/fMtp 0 def/fmSG{fmgS fMgt get dup null eq{pop fmgS fMgt 10 dict
dup 4 1 roll put}if 3 1 roll put}FmBD/fmGG{fMgt -1 -1{fmgS exch get dup null ne
{2 copy exch known{2 copy exch get/_notdef ne{exch get dup exit}if}if}if pop}
for pop}FmBD/gsave{FrameMacDict begin FmG/fMgt fMgt 1 add def fmgS fMgt get dup
null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse end}fmPE
/grestore{FrameMacDict begin fMgt fMtp gt{/fMgt fMgt 1 sub def}if FmR null fmCN
end}fmPE/grestoreall{FrameMacDict begin/fMgt fMtp def fm_l null fmCN end}fmPE
/save{FrameMacDict/fm_v get exec FrameMacDict begin/fMgt fMgt 1 add def fmgS
fMgt get dup null eq{pop}{dup dup{pop/_notdef put dup}forall pop pop}ifelse
/fMtp fMgt def end}fmPE/fMND F def/fMCC null fmSG/fMOP F fmSG/fMKO F fmSG/fmRY{
1 exch sub 3 1 roll 1 exch sub 3 1 roll 1 exch sub 3 1 roll 3 copy 2 copy le{
pop}{exch pop}ifelse 2 copy le{pop}{exch pop}ifelse dup dup dup 6 1 roll 4 1
roll 7 1 roll sub 6 1 roll sub 5 1 roll sub 4 1 roll}fmSG userdict/fM7 known
not{userdict/FrameSuccessfull F put userdict/FrameEndPictStopped F put userdict
/fM7 0 put}if/fmLC{fMSC{exch pop exch dup 3 -1 roll fmQC{pop T exit}if}forall
dup T ne{pop F}if}FmBD/fmLR{fMSC{exch pop exch dup 3 -1 roll fmQR{pop T exit}if
}forall dup T ne{pop F}if}FmBD/fmLM{fMSC exch known}FmBD/fmCN{fMND F fMib fMCP
ne{/fMOP fmGG{/fMKO fmGG{pop T}if}if}if dup/fMND exch def{pop pop}{exch dup
null ne{exch pop dup type dup/integertype eq exch/realtype eq or{fm_g}{setcolor
}ifelse}{pop{1 fm_g}if}ifelse}ifelse}FmBD/findcmykcustomcolor{0 0 0 8 array
astore}fmPE/findrgbcustomcolor{FrameMacDict begin 4 1 roll 3 copy/fmRY fmGG
exec 8 4 roll 8 array astore end}fmPE/findgraycustomcolor{0 0 0 exch 1 exch sub
exch findcmykcustomcolor}fmPE/findhsbcustomcolor{FrameMacDict begin 4 1 roll
gsave fm_h currentrgbcolor grestore 4 -1 roll findrgbcustomcolor end}fmPE
/setcustomcolor{FrameMacDict begin dup type dup/integertype eq exch/realtype eq
or not{1.0}if exch dup/fMCC exch fmSG dup 4 get dup fmLM{fMib fMS eq{fMCN eq{
pop}{pop pop 0}ifelse}{pop pop pop 0}ifelse}{pop fMib fMK eq{3 get mul}{fMib
fMY eq{2 get mul}{fMib fMM eq{1 get mul}{fMib fMC eq{0 get mul}{pop pop 0}
ifelse}ifelse}ifelse}ifelse}ifelse dup 0 le/fMKO exch fmSG 1 exch sub fmCN end}
fmPE/setoverprint{FrameMacDict begin dup FmOP/fMOP exch fmSG null fmCN end}fmPE
/currentoverprint{FrameMacDict begin/fMOP fmGG end}fmPE/setrgbtocmyk{
FrameMacDict begin/fmRY exch fmSG null fmCN end}fmPE/currentrgbtocmyk{
FrameMacDict begin/fmRY fmGG end}fmPE/fill{FrameMacDict begin fMND{newpath}{
fm_f}ifelse end}fmPE/eofill{FrameMacDict begin fMND{newpath}{fm_e}ifelse end}
fmPE/stroke{FrameMacDict begin fMND{newpath}{fm_t}ifelse end}fmPE/fmNX{load
fMND{FmG fMa2 currentmatrix end nulldevice setmatrix exec currentpoint
FrameMacDict/FmR get exec moveto}{end exec}ifelse}fmBi def/show{FrameMacDict
begin/fm_s fmNX}fmPE/ashow{FrameMacDict begin/fm_a fmNX}fmPE/widthshow{
FrameMacDict begin/fm_w fmNX}fmPE/awidthshow{FrameMacDict begin/fm_y fmNX}fmPE
/kshow{FrameMacDict begin/RealKshow fmNX}fmPE/image{FrameMacDict begin dup type
/dicttype ne{fMib fMK eq{/fm_i load end exec}{FmG fmSW/fm_i load end exec
FrameMacDict begin FmR end}ifelse}{fML1{(image)errordict/typecheck get exec}{
dup begin ImageType 1 eq{currentcolorspace 0 get dup/DeviceGray eq{pop Decode 0
get 0 eq Decode 1 get 1 eq and{pop Width Height BitsPerComponent ImageMatrix
/DataSource load fMEd/image get end end exec}{end/fm_i load end exec}ifelse}{
dup/DeviceRGB eq exch/DeviceCMYK eq or{T 0 2 Decode length 2 sub{Decode exch
get 0 eq and}for 1 2 Decode length{Decode exch get 1 eq and}for{pop Width
Height BitsPerComponent ImageMatrix/DataSource load currentdict
/MultipleDataSources known{MultipleDataSources}{F}ifelse{aload pop T}{F}ifelse
Decode length 2 idiv fMEd/colorimage get end end exec}{end/fm_i load end exec}
ifelse}{end/fm_i load end exec}ifelse}ifelse}{end/fm_i load end exec}ifelse}
ifelse}ifelse}fmPE/separationimage{fm_i}fmPE
%% The definition of the /imagemask (up to version @@/main/28) used to simulate the definition
%% of /image. The structure of the code was the same, and both executed `nulldevice' for non-black
%% plates. (/image executed `nulldevice' via `fmSW' call).
%% This appears to be incorrect, because of the difference between `image' and `imagemask'
%% operators. While `image' operator always paints with black color, which is why the
%% definition of /image dicriminated between black and other colors plates, `imagemask'
%% operator paints with the current color. Therefore, the discrimination between black and
%% other colors plates in /imagemask definition, with sending non-black plates to `nulldevice'
%% seems to be wrong, and is eliminated in this version.
%%
%% itenenbo, cahaverl 07/02/98
%%
/imagemask{FrameMacDict begin dup type/dicttype ne{/fm_m load end exec}{/fm_m
load end exec}ifelse}fmPE/separationimagemask{fm_m}fmPE/colorimage{FrameMacDict
begin FmG dup 4 eq{fmIv pop{/fMP4 exch def/fMP3 exch def/fMP2 exch def/fMP1
exch def{fMP1 fMP2 fMP3 fMP4 fMib fm4b}fm_si}{/fMP1 exch def 1 index 8 ne{
(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def/fMs4 4 index string def{fMP1 0 1 fMs
length 1 sub{2 copy 4 mul 4 getinterval forall fMs4 5 index 3 -1 roll put fMs3
4 index 3 -1 roll put fMs2 3 index 3 -1 roll put fMs 3 -1 roll put}for pop fMs
fMs2 fMs3 fMs4 fMib fm4b}fm_si}ifelse}{dup 3 eq{fmIv pop{/fMP3 exch def/fMP2
exch def/fMP1 exch def{fMP1 fMP2 fMP3 fMib fm3b}fm_si}{/fMP1 exch def 1 index 8
ne{(colorimage)errordict/rangecheck get exec}if/fMs 4 index string def/fMs2 4
index string def/fMs3 4 index string def{fMP1 0 1 fMs length 1 sub{2 copy 3 mul
3 getinterval forall fMs4 4 index 3 -1 roll put fMs3 3 index 3 -1 roll put fMs
3 -1 roll put}for pop fMs fMs2 fMs3 fMib fm3b}fm_si}ifelse}{1 eq{pop image}{
(colorimage)errordict/rangecheck get exec}ifelse}ifelse}ifelse FmR end}fmPE
/customcolorimage{FrameMacDict begin FmG setcustomcolor currentgray 0 gt{
currentgray 1 ge{/fMOP fmGG{nulldevice}{fMNg{{pop 0}}{{pop 1}}ifelse fm_su}
ifelse}{[1 currentgray sub/mul cvx]cvx currentransfer fmcp fm_su}ifelse}if/fm_i
get end exec FrameMacDict begin FmR end}fmPE/setgray{FrameMacDict begin fMib
fMK eq{F}{fMib fMS eq fMJR 0 eq and fMJG 0 eq and fMJB 0 eq and{F}{pop 1 T}
ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setseparationgray{FrameMacDict begin
/fMKO F fmSG null fmCN fm_sg end}fmPE/setrgbcolor{FrameMacDict begin 3 copy[4 1
roll]fmLR{fMib fMS eq{fMJB eq exch fMJG eq and exch fMJR eq and{0 F}{1 T}ifelse
}{pop pop pop 1 T}ifelse}{/fmRY fmGG exec fMib fMK eq{1.0 exch sub 4 1 roll pop
pop pop F}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop F}{fMib fMM eq{pop pop
1.0 exch sub exch pop F}{fMib fMC eq{pop pop pop 1.0 exch sub F}{pop pop pop
pop 1 T}ifelse}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE
/sethsbcolor{FrameMacDict begin fm_h currentrgbcolor setrgbcolor end}fmPE
/currentcmykcolor where{pop}{/currentcmykcolor{FrameMacDict begin
currentrgbcolor/fmRY fmGG exec end}fmPE}ifelse/setcmykcolor{FrameMacDict begin
fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1.0 ge}{fMib fMY eq{pop 1.0
exch sub 3 1 roll pop pop dup 1.0 ge}{fMib fMM eq{pop pop 1.0 exch sub exch pop
dup 1.0 ge}{fMib fMC eq{pop pop pop 1.0 exch sub dup 1.0 ge}{pop pop pop pop 1
T}ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykoverprint{
FrameMacDict begin 4 copy[5 1 roll]fmLC{fMib fMS eq{0 fmax fMJK eq exch 0 fmax
fMJY eq and exch 0 fmax fMJM eq and exch 0 fmax fMJC eq and{0 F}{1 T}ifelse}{
pop pop pop pop 1 T}ifelse}{fMib fMK eq{1.0 exch sub 4 1 roll pop pop pop dup 1
fmin exch 1 gt}{fMib fMY eq{pop 1.0 exch sub 3 1 roll pop pop dup 1 fmin exch 1
gt}{fMib fMM eq{pop pop 1.0 exch sub exch pop dup 1 fmin exch 1 gt}{fMib fMC eq
{pop pop pop 1.0 exch sub dup 1 fmin exch 1 gt}{pop pop pop pop 1 T}ifelse}
ifelse}ifelse}ifelse}ifelse/fMKO exch fmSG fmCN end}fmPE/setcmykcoloroverprint{
setcmykoverprint}fmPE/setcmybcolor{setcmykcolor}fmPE/FrameEr where{pop}{
userdict/FrameEr(\000)put}ifelse/fMSJ 100 string def/fmXC{FmE countdictstack
userdict begin/showpage{}def/FrameDictStackDepth exch def count/FrameStackDepth
exch def userdict/EndFrame5NestedPS dup FrameMacDict exch get put userdict
/FrameSuccessfull false put FrameMacDict/fMHq get/$brkpage where dup{exch pop}
if or{userdict/FrameEndPictStopped false put}{userdict/FrameEndPictStopped true
put currentfile cvx stopped pop FrameSuccessfull not{systemdict/clear get exec
userdict/FrameEr get 0 1 put FrameMacDict begin FmG systemdict/initmatrix get
exec 0 systemdict/setgray get exec clippath{pathbbox}stopped{100 100 512 692}if
exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18 scalefont
setfont FrameEr1 fm_s( \()fm_s $error begin errorname 20 string cvs fm_s(, )
fm_s/command load 128 string cvs fm_s end(\))fm_s FrameEr2 print flush
FrameMacDict/fMSJ get{dup currentfile exch{readline}stopped{pop exch pop T}if
not{exit}if(EndFrame5NestedPS)eq{exit}if}loop grestore end}if userdict
/FrameSuccessfull false put userdict/FrameEndPictStopped false put FrameMacDict
/fmIR get exec}ifelse}fmBi def/FmEp{save userdict/fM7 3 -1 roll put exch fMeb
fMCP eq fMib fMCP ne and and{fMEd{userdict 3 1 roll put}forall}if FmOP[/fMef
/fMet/fMeh/fMew/fMey/fMex/fMei/fMej/fMek/fMel]{fmXD}forall fMex fMey translate
fMet rotate fMew fMeh scale fMef{-1 1 scale}if 1 fMej fMel sub div 1 fMek fMei
sub div scale fMej fMel add 2 div neg fMei fMek add 2 div neg translate 0
setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash
newpath fML1 not{F setstrokeadjust}if fmXC}FmBD/FmPI{0 setgray 0 setlinecap 1
setlinewidth 0 setlinejoin 10 setmiterlimit[]0 setdash newpath newpath 0 0
moveto}FmBD/FmPc{save userdict/fM7 3 -1 roll put newpath 3 index neg 3 index
neg translate 1 -1 scale 0.0 0.0 moveto fmXC}FmBD/fmIR{end countdictstack
FrameDictStackDepth sub dup 0 gt{{end}repeat}{pop}ifelse count FrameStackDepth
sub dup 0 gt{{pop}repeat}{pop}ifelse fM7 restore FrameMacDict begin}fmBi def
/EndFrame5NestedPS{userdict/FrameEndPictStopped get{userdict/FrameSuccessfull
true put stop}{FrameMacDict/fmIR get exec}ifelse}fmBi def/alphaimage where{pop}
{userdict/alphaimage{1 ne{limitcheck}if not{limitcheck}if pop image}put}ifelse
/fmDE{systemdict/initgraphics get exec clippath{pathbbox}stopped{100 100 512
692}if exch pop add 2. div newpath moveto(Courier-BoldOblique)findfont 18
scalefont setfont currentpoint 2 copy FrameEr3 fm_s 20 sub 2 copy moveto
FrameEr4 fm_s 20 sub 2 copy moveto(\()fm_s statusdict/jobname get fm_s(\))fm_s
20 sub moveto FrameEr5 fm_s showpage}FmBD/cd where{dup/cd get/fmRC fmXD/cd{
FrameMacDict begin FrameEr 0 get 0 ne{fmDE}if/fmRC load end exec}fmBi put}{
/endp where{dup/endp get/fMRE fmXD/endp{FrameMacDict/fMRE get exec FrameEr 0
get 0 ne{FrameMacDict begin currentfile fMSJ{readline}stopped{pop exch pop true
}if pop dup(%%Trailer)eq{pop fmDE}{cvx exec}ifelse end}if}fmBi put}if}ifelse
systemdict/setpacking known{fMSP setpacking}if end
%%EndProcSet
/md where{pop countdictstack array dictstack true exch{md eq{pop false exit}if}
forall{md begin}if}if
%FRMSetup
FrameMacDict begin
/FrameEr1(PostScript error)def
/FrameEr2(A PostScript error occurred. FrameMaker+SGML is attempting recovery.)def
/FrameEr3(FrameMaker+SGML has detected one or more)def
/FrameEr4(PostScript errors in this document.)def
/FrameEr5(Please check your output.)def
/FrameFillPatternsArray [
  0 
  0.1 
  0.3 
  0.5 
  0.7 
  0.9 
  0.97 
  1 
  <0F1E3C78F0E1C387>
  <0F87C3E1F0783C1E>
  <CCCCCCCCCCCCCCCC>
  <FFFF0000FFFF0000>
  <8142241818244281>
  <0102040810204080>
  <8040201008040201>
] def
end
%%EndSetup
%%Page: 1 1
%%PageProcessColors: Black
%%PageCustomColors: 
%%BeginPageSetup
initializepage
(Matt Bishop; page: 1 of 1)setjob
%%EndPageSetup
gS 0 0 552 728 rC
0 0 :M
FrMacBegin
0 FmP
F FmOP
0 FmSP
FmE
42 14 468 14 rC
0 0 :M
FrMacBegin
42 15 468 12 FmKp
B
0 FmP
F FmOP
42 16 FmB
468 0 FmL
2 1 FmSo
42 19 FmB
468 0 FmL
2 1 FmSo
FmE
gR
gS 0 0 552 728 rC
0 0 :M
f148 sf
( )S
2 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 11.667 M (November 1, 1999)S
91.132 N 2(ECS 153 \321 F)A
2(ALL)A
2( 1999)A
138.898 N (Page )S
(1)S
198.661 725 M (Version of )S
(November 1, 1999 9:33 am)S
FmE
3 0 :M
f175 sf
( )S
7 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.685 53 M (Notes f)S
-0.453 N (or No)S
-0.18 N (v)S
-0.18 N (ember 1, 1999)S
FmE
7 0 :M
f148 sf
( )S
9 0 :M
FrMacBegin
B
0 FmP
F FmOP
42 83.667 M (1.)S
10.5 N (Greetings and Felicitations!)S
42 98.667 M (2.)S
10.5 N (Puzzle of the Day)S
42 113.667 M (3.)S
10.5 N (Public-K)S
-0.251 N (e)S
-0.151 N (y Cryptograph)S
-0.051 N (y)S
60 128.667 M (a.)S
11.062 N (Basic idea: 2 k)S
-0.1 N (e)S
-0.151 N (ys, one pri)S
-0.251 N (v)S
-0.251 N (ate, one public)S
60 143.667 M (b)S
-0.4 N (.)S
10.9 N (Cryptosystem must satisfy:)S
78 158.667 M (i.)S
12.722 N (gi)S
-0.251 N (v)S
-0.151 N (en public k)S
-0.1 N (e)S
-0.151 N (y)S
-0.652 N (, CI to get pri)S
-0.251 N (v)S
-0.251 N (ate k)S
-0.1 N (e)S
-0.151 N (y;)S
78 173.667 M (ii.)S
9.943 N (cipher withstands chosen plainte)S
-0.151 N (xt attack;)S
78 188.667 M (iii.)S
7.165 N (encryption, decryption computationally feasible [note: commutati)S
-0.251 N (vity )S
FmE
10 0 :M
f205 sf
( )S
12 0 :M
FrMacBegin
B
0 FmP
F FmOP
376.493 188.667 M (not)S
FmE
12 0 :M
f148 sf
( )S
14 0 :M
FrMacBegin
B
0 FmP
F FmOP
389.831 188.667 M ( required])S
60 203.667 M (c.)S
11.062 N (Bene\336)S
(ts: can gi)S
-0.251 N (v)S
-0.151 N (e con\336)S
(dentiality or authentication or both)S
42 218.667 M (4.)S
10.5 N (Use of PKC)S
60 233.667 M (a.)S
11.062 N (Normally used as k)S
-0.1 N (e)S
-0.151 N (y interchange system to e)S
-0.151 N (xchange secret k)S
-0.1 N (e)S
-0.151 N (ys \(cheap\))S
60 248.666 M (b)S
-0.4 N (.)S
10.9 N (Then use secret k)S
-0.1 N (e)S
-0.151 N (y system \(too e)S
-0.151 N (xpensi)S
-0.251 N (v)S
-0.151 N (e to use PKC for this\))S
42 263.666 M (5.)S
10.5 N (RSA)S
60 278.666 M (a.)S
11.062 N (Pro)S
-0.151 N (vides both authenticity and con\336)S
(dentiality)S
60 293.666 M (b)S
-0.4 N (.)S
10.9 N (Go through algorithm:)S
78 308.333 M (Idea: )S
FmE
15 0 :M
f233 sf
( )S
17 0 :M
FrMacBegin
B
0 FmP
F FmOP
100.483 308.333 M (C)S
FmE
17 0 :M
f148 sf
( )S
19 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.153 308.333 M ( = )S
FmE
20 0 :M
f233 sf
( )S
22 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.792 308.333 M (M)S
FmE
22 0 :M
f246 sf
( )S
24 0 :M
FrMacBegin
B
0 FmP
F FmOP
126.12 304.333 M (e)S
FmE
24 0 :M
f148 sf
( )S
26 0 :M
FrMacBegin
B
0 FmP
F FmOP
129.671 308.333 M ( mod )S
FmE
27 0 :M
f233 sf
( )S
29 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.449 308.333 M (n)S
FmE
29 0 :M
f148 sf
( )S
31 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.449 308.333 M (, )S
FmE
32 0 :M
f233 sf
( )S
34 0 :M
FrMacBegin
B
0 FmP
F FmOP
162.449 308.333 M (M)S
FmE
34 0 :M
f148 sf
( )S
36 0 :M
FrMacBegin
B
0 FmP
F FmOP
170.777 308.333 M ( = )S
FmE
37 0 :M
f233 sf
( )S
39 0 :M
FrMacBegin
B
0 FmP
F FmOP
181.417 308.333 M (C)S
FmE
39 0 :M
f246 sf
( )S
41 0 :M
FrMacBegin
B
0 FmP
F FmOP
188.086 304.333 M (d)S
FmE
41 0 :M
f148 sf
( )S
43 0 :M
FrMacBegin
B
0 FmP
F FmOP
192.086 308.333 M ( mod )S
FmE
44 0 :M
f233 sf
( )S
46 0 :M
FrMacBegin
B
0 FmP
F FmOP
214.865 308.333 M (n)S
FmE
46 0 :M
f148 sf
( )S
48 0 :M
FrMacBegin
B
0 FmP
F FmOP
219.865 308.333 M (, with )S
FmE
49 0 :M
f233 sf
( )S
51 0 :M
FrMacBegin
B
0 FmP
F FmOP
245.141 308.333 M (ed)S
FmE
51 0 :M
f148 sf
( )S
53 0 :M
FrMacBegin
B
0 FmP
F FmOP
254.579 308.333 M ( mod )S
FmE
54 0 :M
f280 sf
( )S
56 0 :M
FrMacBegin
B
0 FmP
F FmOP
277.357 308.333 M (f)S
FmE
56 0 :M
f148 sf
( )S
58 0 :M
FrMacBegin
B
0 FmP
F FmOP
282.567 308.333 M (\()S
FmE
59 0 :M
f233 sf
( )S
61 0 :M
FrMacBegin
B
0 FmP
F FmOP
285.895 308.333 M (n)S
FmE
61 0 :M
f148 sf
( )S
63 0 :M
FrMacBegin
B
0 FmP
F FmOP
290.895 308.333 M (\) = 1.)S
78 322.999 M (Proof:  )S
FmE
64 0 :M
f233 sf
( )S
66 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.993 322.999 M (M)S
FmE
66 0 :M
f293 sf
( )S
68 0 :M
FrMacBegin
B
0 FmP
F FmOP
116.32 319 M (f)S
FmE
68 0 :M
f306 sf
( )S
70 0 :M
FrMacBegin
B
0 FmP
F FmOP
120.488 319 M (\()S
FmE
70 0 :M
f246 sf
( )S
72 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.152 319 M (n)S
FmE
72 0 :M
f306 sf
( )S
74 0 :M
FrMacBegin
B
0 FmP
F FmOP
127.152 319 M (\))S
FmE
74 0 :M
f148 sf
( )S
76 0 :M
FrMacBegin
B
0 FmP
F FmOP
129.816 322.999 M ( mod )S
FmE
77 0 :M
f233 sf
( )S
79 0 :M
FrMacBegin
B
0 FmP
F FmOP
152.595 322.999 M (n)S
FmE
79 0 :M
f148 sf
( )S
81 0 :M
FrMacBegin
B
0 FmP
F FmOP
157.595 322.999 M ( = 1 [by Fermat\325)S
-0.552 N (s theorem as generalized by Euler]; follo)S
-0.251 N (ws immediately from )S
FmE
82 0 :M
f233 sf
( )S
84 0 :M
FrMacBegin
B
0 FmP
F FmOP
473.132 322.999 M (ed)S
FmE
84 0 :M
f148 sf
( )S
86 0 :M
FrMacBegin
B
0 FmP
F FmOP
482.57 322.999 M ( mod )S
FmE
87 0 :M
f280 sf
( )S
89 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 334.999 M (f)S
FmE
89 0 :M
f148 sf
( )S
91 0 :M
FrMacBegin
B
0 FmP
F FmOP
83.21 334.999 M (\()S
FmE
92 0 :M
f233 sf
( )S
94 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.538 334.999 M (n)S
FmE
94 0 :M
f148 sf
( )S
96 0 :M
FrMacBegin
B
0 FmP
F FmOP
91.538 334.999 M (\) = 1.)S
78 346.999 M (Public k)S
-0.1 N (e)S
-0.151 N (y is \()S
FmE
97 0 :M
f233 sf
( )S
99 0 :M
FrMacBegin
B
0 FmP
F FmOP
135.236 346.999 M (e)S
FmE
99 0 :M
f148 sf
( )S
101 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.675 346.999 M (, )S
FmE
102 0 :M
f233 sf
( )S
104 0 :M
FrMacBegin
B
0 FmP
F FmOP
144.675 346.999 M (n)S
FmE
104 0 :M
f148 sf
( )S
106 0 :M
FrMacBegin
B
0 FmP
F FmOP
149.675 346.999 M (\); pri)S
-0.251 N (v)S
-0.251 N (ate k)S
-0.1 N (e)S
-0.151 N (y is )S
FmE
107 0 :M
f233 sf
( )S
109 0 :M
FrMacBegin
B
0 FmP
F FmOP
213.894 346.999 M (d)S
FmE
109 0 :M
f148 sf
( )S
111 0 :M
FrMacBegin
B
0 FmP
F FmOP
218.894 346.999 M (. Choose )S
FmE
112 0 :M
f233 sf
( )S
114 0 :M
FrMacBegin
B
0 FmP
F FmOP
256.391 346.999 M (n)S
FmE
114 0 :M
f148 sf
( )S
116 0 :M
FrMacBegin
B
0 FmP
F FmOP
261.391 346.999 M ( = )S
FmE
117 0 :M
f233 sf
( )S
119 0 :M
FrMacBegin
B
0 FmP
F FmOP
272.031 346.999 M (pq)S
FmE
119 0 :M
f148 sf
( )S
121 0 :M
FrMacBegin
B
0 FmP
F FmOP
282.031 346.999 M (; then )S
FmE
122 0 :M
f280 sf
( )S
124 0 :M
FrMacBegin
B
0 FmP
F FmOP
307.026 346.999 M (f)S
FmE
124 0 :M
f148 sf
( )S
126 0 :M
FrMacBegin
B
0 FmP
F FmOP
312.236 346.999 M (\()S
FmE
127 0 :M
f233 sf
( )S
129 0 :M
FrMacBegin
B
0 FmP
F FmOP
315.563 346.999 M (n)S
FmE
129 0 :M
f148 sf
( )S
131 0 :M
FrMacBegin
B
0 FmP
F FmOP
320.563 346.999 M (\) = \()S
FmE
132 0 :M
f233 sf
( )S
134 0 :M
FrMacBegin
B
0 FmP
F FmOP
337.858 346.999 M (p)S
FmE
134 0 :M
f148 sf
( )S
136 0 :M
FrMacBegin
B
0 FmP
F FmOP
342.858 346.999 M (\3201\)\()S
FmE
137 0 :M
f233 sf
( )S
139 0 :M
FrMacBegin
B
0 FmP
F FmOP
359.514 346.999 M (q)S
FmE
139 0 :M
f148 sf
( )S
141 0 :M
FrMacBegin
B
0 FmP
F FmOP
364.514 346.999 M (\3201\).)S
60 361.999 M (c.)S
11.062 N (Example:)S
FmE
142 0 :M
f233 sf
( )S
144 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 373.999 M (p)S
FmE
144 0 :M
f148 sf
( )S
146 0 :M
FrMacBegin
B
0 FmP
F FmOP
83 373.999 M -0.308( = 5, )W
FmE
147 0 :M
f233 sf
( )S
149 0 :M
FrMacBegin
B
0 FmP
F FmOP
102.715 373.999 M (q)S
FmE
149 0 :M
f148 sf
( )S
151 0 :M
FrMacBegin
B
0 FmP
F FmOP
107.715 373.999 M -0.308( = 7; )W
FmE
152 0 :M
f233 sf
( )S
154 0 :M
FrMacBegin
B
0 FmP
F FmOP
127.708 373.999 M (n)S
FmE
154 0 :M
f148 sf
( )S
156 0 :M
FrMacBegin
B
0 FmP
F FmOP
132.708 373.999 M -0.308( = 35, f\()W
FmE
157 0 :M
f233 sf
( )S
159 0 :M
FrMacBegin
B
0 FmP
F FmOP
164.078 373.999 M (n)S
FmE
159 0 :M
f148 sf
( )S
161 0 :M
FrMacBegin
B
0 FmP
F FmOP
169.078 373.999 M -0.308(\) = \(5\3201\)\(7\3201\) = 24. Pick )W
FmE
162 0 :M
f233 sf
( )S
164 0 :M
FrMacBegin
B
0 FmP
F FmOP
270.422 373.999 M (d)S
FmE
164 0 :M
f148 sf
( )S
166 0 :M
FrMacBegin
B
0 FmP
F FmOP
275.422 373.999 M -0.308( = 11. )W
-0.181 N -0.308(Then )W
FmE
167 0 :M
f233 sf
( )S
169 0 :M
FrMacBegin
B
0 FmP
F FmOP
322.695 373.999 M (de)S
FmE
169 0 :M
f148 sf
( )S
171 0 :M
FrMacBegin
B
0 FmP
F FmOP
332.133 373.999 M -0.308( mod )W
FmE
172 0 :M
f280 sf
( )S
174 0 :M
FrMacBegin
B
0 FmP
F FmOP
354.295 373.999 M (f)S
FmE
174 0 :M
f148 sf
( )S
176 0 :M
FrMacBegin
B
0 FmP
F FmOP
359.505 373.999 M (\()S
FmE
177 0 :M
f233 sf
( )S
179 0 :M
FrMacBegin
B
0 FmP
F FmOP
362.832 373.999 M (n)S
FmE
179 0 :M
f148 sf
( )S
181 0 :M
FrMacBegin
B
0 FmP
F FmOP
367.832 373.999 M -0.308(\) = 1, so choose )W
FmE
182 0 :M
f233 sf
( )S
184 0 :M
FrMacBegin
B
0 FmP
F FmOP
431.914 373.999 M (e)S
FmE
184 0 :M
f148 sf
( )S
186 0 :M
FrMacBegin
B
0 FmP
F FmOP
436.352 373.999 M -0.308( = 11. )W
-0.181 N (T)S
-0.801 N -0.308(o encipher )W
78 388.666 M (2, )S
FmE
187 0 :M
f233 sf
( )S
189 0 :M
FrMacBegin
B
0 FmP
F FmOP
88 388.666 M (C)S
FmE
189 0 :M
f148 sf
( )S
191 0 :M
FrMacBegin
B
0 FmP
F FmOP
94.67 388.666 M ( = )S
FmE
192 0 :M
f233 sf
( )S
194 0 :M
FrMacBegin
B
0 FmP
F FmOP
105.31 388.666 M (M)S
FmE
194 0 :M
f246 sf
( )S
196 0 :M
FrMacBegin
B
0 FmP
F FmOP
113.637 384.666 M (e)S
FmE
196 0 :M
f148 sf
( )S
198 0 :M
FrMacBegin
B
0 FmP
F FmOP
117.188 388.666 M ( mod )S
FmE
199 0 :M
f233 sf
( )S
201 0 :M
FrMacBegin
B
0 FmP
F FmOP
139.966 388.666 M (n)S
FmE
201 0 :M
f148 sf
( )S
203 0 :M
FrMacBegin
B
0 FmP
F FmOP
144.966 388.666 M ( = 2)S
FmE
204 0 :M
f306 sf
( )S
206 0 :M
FrMacBegin
B
0 FmP
F FmOP
160.606 384.666 M (11)S
FmE
206 0 :M
f148 sf
( )S
208 0 :M
FrMacBegin
B
0 FmP
F FmOP
168.606 388.666 M ( mod 35 = 2048 mod 35 = 18, and )S
FmE
208 0 :M
f233 sf
( )S
210 0 :M
FrMacBegin
B
0 FmP
F FmOP
307.38 388.666 M (M )S
FmE
211 0 :M
f148 sf
( )S
213 0 :M
FrMacBegin
B
0 FmP
F FmOP
318.208 388.666 M (= )S
FmE
213 0 :M
f233 sf
( )S
215 0 :M
FrMacBegin
B
0 FmP
F FmOP
326.348 388.666 M (C)S
FmE
216 0 :M
f306 sf
( )S
218 0 :M
FrMacBegin
B
0 FmP
F FmOP
333.018 384.666 M (d)S
FmE
218 0 :M
f148 sf
( )S
220 0 :M
FrMacBegin
B
0 FmP
F FmOP
337.018 388.666 M ( mod )S
FmE
220 0 :M
f233 sf
( )S
222 0 :M
FrMacBegin
B
0 FmP
F FmOP
359.796 388.666 M (n)S
FmE
223 0 :M
f148 sf
( )S
225 0 :M
FrMacBegin
B
0 FmP
F FmOP
364.796 388.666 M ( = 1811 mod 35 = 2.)S
60 403.666 M (d.)S
10.5 N (Example: )S
FmE
225 0 :M
f233 sf
( )S
227 0 :M
FrMacBegin
B
0 FmP
F FmOP
118.82 403.666 M (p)S
FmE
228 0 :M
f148 sf
( )S
230 0 :M
FrMacBegin
B
0 FmP
F FmOP
123.82 403.666 M ( = 53, )S
FmE
230 0 :M
f233 sf
( )S
232 0 :M
FrMacBegin
B
0 FmP
F FmOP
149.46 403.666 M (q)S
FmE
233 0 :M
f148 sf
( )S
235 0 :M
FrMacBegin
B
0 FmP
F FmOP
154.46 403.666 M ( = 61, )S
FmE
235 0 :M
f233 sf
( )S
237 0 :M
FrMacBegin
B
0 FmP
F FmOP
180.1 403.666 M (n)S
FmE
238 0 :M
f148 sf
( )S
240 0 :M
FrMacBegin
B
0 FmP
F FmOP
185.1 403.666 M ( = 3233)S
FmE
240 0 :M
f233 sf
( )S
242 0 :M
FrMacBegin
B
0 FmP
F FmOP
215.739 403.666 M (, )S
FmE
243 0 :M
f148 sf
( )S
245 0 :M
FrMacBegin
B
0 FmP
F FmOP
220.739 403.666 M (f\()S
FmE
245 0 :M
f233 sf
( )S
247 0 :M
FrMacBegin
B
0 FmP
F FmOP
227.395 403.666 M (n)S
FmE
248 0 :M
f148 sf
( )S
250 0 :M
FrMacBegin
B
0 FmP
F FmOP
232.395 403.666 M (\) = \(53\3201\)\(61\3201\) = 3120. )S
-0.181 N (T)S
-0.801 N (ak)S
-0.1 N (e )S
FmE
250 0 :M
f233 sf
( )S
252 0 :M
FrMacBegin
B
0 FmP
F FmOP
356.716 403.666 M (d)S
FmE
253 0 :M
f148 sf
( )S
255 0 :M
FrMacBegin
B
0 FmP
F FmOP
361.716 403.666 M ( = 791; then )S
FmE
255 0 :M
f233 sf
( )S
257 0 :M
FrMacBegin
B
0 FmP
F FmOP
412.351 403.666 M (e)S
FmE
258 0 :M
f148 sf
( )S
260 0 :M
FrMacBegin
B
0 FmP
F FmOP
416.789 403.666 M ( = 71. Encipher )S
FmE
260 0 :M
f233 sf
( )S
262 0 :M
FrMacBegin
B
0 FmP
F FmOP
481.02 403.666 M (M)S
FmE
263 0 :M
f148 sf
( )S
265 0 :M
FrMacBegin
B
0 FmP
F FmOP
489.348 403.666 M ( = )S
78 415.666 M (REN)S
-0.352 N (AISSANCE: )S
-0.552 N (A = 00, B = 01, \311, Z = 25, blank = 26. )S
-0.181 N (Then:)S
FmE
265 0 :M
f233 sf
( )S
267 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 427.666 M (M)S
FmE
268 0 :M
f148 sf
( )S
270 0 :M
FrMacBegin
B
0 FmP
F FmOP
86.328 427.666 M ( = RE N)S
-0.352 N (A IS SA NC Eblank = 1704 1300 0818 1800 1302 0426)S
FmE
270 0 :M
f233 sf
( )S
272 0 :M
FrMacBegin
B
0 FmP
F FmOP
78 442.332 M (C)S
FmE
273 0 :M
f148 sf
( )S
275 0 :M
FrMacBegin
B
0 FmP
F FmOP
84.67 442.332 M ( = \(1704\))S
FmE
275 0 :M
f306 sf
( )S
277 0 :M
FrMacBegin
B
0 FmP
F FmOP
121.965 438.332 M (71)S
FmE
277 0 :M
f148 sf
( )S
279 0 :M
FrMacBegin
B
0 FmP
F FmOP
129.965 442.332 M ( mod 3233 = 3106; )S
FmE
280 0 :M
f233 sf
( )S
282 0 :M
FrMacBegin
B
0 FmP
F FmOP
208.661 442.332 M (etc.)S
FmE
282 0 :M
f148 sf
( )S
284 0 :M
FrMacBegin
B
0 FmP
F FmOP
222.816 442.332 M ( = 3106 0100 0931 2691 1984 2927)S
42 457.332 M (6.)S
10.5 N (Authentication:)S
60 472.332 M (a.)S
11.062 N (v)S
-0.251 N (alidating client \(user\) identity)S
60 487.332 M (b)S
-0.4 N (.)S
10.9 N (v)S
-0.251 N (alidating serv)S
-0.151 N (er \(system\) identity)S
60 502.332 M (c.)S
11.062 N (v)S
-0.251 N (alidating both \(mutual authentication\))S
42 517.332 M (7.)S
10.5 N (Basis)S
60 532.332 M (a.)S
11.062 N (What you kno)S
-0.251 N (w)S
60 547.332 M (b)S
-0.4 N (.)S
10.9 N (What you ha)S
-0.2 N (v)S
-0.151 N (e)S
60 562.332 M (c.)S
11.062 N (What you are)S
42 577.332 M (8.)S
10.5 N (P)S
-0.151 N (assw)S
-0.1 N (ords)S
60 592.332 M (a.)S
11.062 N (Ho)S
-0.251 N (w UNIX does selection)S
60 607.332 M (b)S
-0.4 N (.)S
10.9 N (Problem: common passw)S
-0.1 N (ords; Go through Morris and )S
-0.181 N (Thompson ; Klein and mine, )S
FmE
285 0 :M
f233 sf
( )S
287 0 :M
FrMacBegin
B
0 FmP
F FmOP
413.483 607.332 M (etc)S
FmE
287 0 :M
f148 sf
( )S
289 0 :M
FrMacBegin
B
0 FmP
F FmOP
425.139 607.332 M (.)S
60 622.332 M (c.)S
11.062 N (May be pass phrases: goal is to mak)S
-0.1 N (e search space as lar)S
-0.181 N (ge as possible and distrib)S
-0.2 N (ution as uniform as possi-)S
78 634.332 M (ble)S
60 649.332 M (d.)S
10.5 N (Other w)S
-0.1 N (ays to force good passw)S
-0.1 N (ord selection: random, pronounceable,m computer)S
-0.2 N (-aided selection)S
60 664.332 M (e.)S
11.062 N (Go through problems, approaches to each, )S
FmE
290 0 :M
f233 sf
( )S
292 0 :M
FrMacBegin
B
0 FmP
F FmOP
249.602 664.332 M (esp)S
FmE
292 0 :M
f148 sf
( )S
294 0 :M
FrMacBegin
B
0 FmP
F FmOP
262.929 664.332 M (. proacti)S
-0.251 N (v)S
-0.151 N (e)S
FmE
endp
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