www.pudn.com > SolutionsforMultiuserDetection.rar > 3.1.lizhongzheng.ps


%!PS-Adobe-2.0
%%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software
%%Title: p3_1.dvi
%%Pages: 1
%%PageOrder: Ascend
%%BoundingBox: 0 0 612 792
%%EndComments
%DVIPSCommandLine: dvips p3_1.dvi -o
%DVIPSParameters: dpi=300, comments removed
%DVIPSSource:  TeX output 1998.12.02:2227
%%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 /hsize 8.5 72
mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
forall round exch round exch]setmatrix}N /@landscape{/isls true N}B
/@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B
/FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /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 sub]{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 /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore showpage
userdict /eop-hook known{eop-hook}if}N /@start{userdict /start-hook
known{start-hook}if pop /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
{}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{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 /QV{gsave newpath transform
round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
rlineto rulex neg 0 rlineto fill grestore}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
TeXDict begin 40258437 52099154 1000 300 300 (p3_1.dvi)
@start /Fa 1 50 df<010007003F00C700070007000700070007000700070007000700
07000700070007000700070007000700070007000700070007000700FFF80D1C7C9B15>
49 D E /Fb 2 50 df<1F00318060C04040C060C060C060C060C060C060C060C0604040
60C031801F000B107F8F0F>48 D<187898181818181818181818181818FF08107D8F0F>
I E /Fc 2 91 df<0000F800018400030600060E000604000E00000E00000E00001C0000
1C00001C00001C00001C00001C00001C00001C00001C00001C0000380000380000380000
380000380000380000380000380000380000380000700000700000700000700000700000
700000700000700000700000700000E00000E00000E00040C000E0C000C180004300003E
0000172E7E7F14>82 D<000000038000000006600000000C700000000CF00000001CF000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>90 D E /Fd 1 107 df106 D E /Fe
1 91 df<03FFFE07801C0600380400700400E00801C0080380000780000F00000E00001C
0000380000700000E00001C0200380200700400F00400E00C01C0080380180700700FFFF
0017177E9618>90 D E /Ff 7 107 df0
D<0000000C0000003C000000F0000003C000000F0000003C000000F0000007C000001F00
000078000001E00000078000001E00000078000000E0000000780000001E000000078000
0001E0000000780000001F00000007C0000000F00000003C0000000F00000003C0000000
F00000003C0000000C000000000000000000000000000000000000000000000000000000
00000000007FFFFFF8FFFFFFFC1E277C9F27>20 D<07E000010FF800013FFC0001381E00
03700780036003C006C001E00EC000781C80003FFC80001FF0800007E0200B7D9127>24
D<001FFF007FFF01E0000380000600000C00001800003000003000006000006000006000
00C00000C00000FFFFFFFFFFFFC00000C000006000006000006000003000003000001800
000C000006000003800001E000007FFF001FFF181E7C9A21>50 D<0003C0001E00003800
00700000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E000
00E00000E00000E00000E00000E00000E00001C0000380000F0000F800000F0000038000
01C00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E000
00E00000E00000E00000E00000E00000E000007000003800001E000003C012317DA419>
102 DI106
D E /Fg 5 53 df<01FE000703800C00C018006038007070003870003870003870003870
00383000303800703800701800600C00C00C00C0060180860184820104C3030C7F03F87F
03F87F03F816177F9619>10 D<07C018303018701C600C600CE00EE00EE00EE00EE00EE0
0EE00EE00EE00E600C600C701C30181C7007C00F157F9412>48 D<06000E00FE000E000E
000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFE00B157D
9412>I<0F8030E040708030C038E0384038003800700070006000C00180030006000C08
080810183FF07FF0FFF00D157E9412>I<00300030007000F001F0017002700470087018
70107020704070C070FFFE0070007000700070007003FE0F157F9412>52
D E /Fh 11 123 df<70F8FCFC7404040404080810102040060F7C840E>59
D62 D<00FFF83FFE000F0003C0000F0003C0000F0003C0001E00
0780001E000780001E000780001E000780003C000F00003C000F00003C000F00003C000F
000078001E000078001E000078001E000078001E0000FFFFFC0000F0003C0000F0003C00
00F0003C0001E000780001E000780001E000780001E000780003C000F00003C000F00003
C000F00003C000F000078001E000078001E000078001E000078001E0000F8003E000FFF8
3FFE0027227DA128>72 D<00FFFFE0000F0038000F001E000F000E001E0007001E000700
1E0007001E0007003C000F003C000F003C000F003C001E0078001E0078003C0078007800
7800E000F003C000FFFE0000F0000000F0000001E0000001E0000001E0000001E0000003
C0000003C0000003C0000003C00000078000000780000007800000078000000F800000FF
F8000020227DA11F>80 D<007FFFFE007E001E0070003C00E0007800C000F0008001E001
8003E0010003C00100078002000F0002001E0000003C0000007C00000078000000F00000
01E0000003C00000078000000F8000000F0000001E0000003C00200078002000F0004001
F0004001E0004003C00080078000800F0001801E0003001E0007003C000F0078007E00FF
FFFE001F227DA121>90 D<00001E0000FC00001C00001C00001C00003800003800003800
00380000700000700000700000700000E00078E001C4E00302E00601C00E01C01C01C03C
01C0380380780380780380780380F00700F00700F00700F00708F00E10700E10701E1030
262018C6200F03C017237EA219>100 D<00001E00000063800000C7800001C7800001C3
000001800000038000000380000003800000038000000700000007000000070000000700
0000FFF800000E0000000E0000000E0000000E0000000E0000000E0000001C0000001C00
00001C0000001C0000001C00000038000000380000003800000038000000380000007000
000070000000700000007000000060000000E0000000E0000000C0000000C0000071C000
00F1800000F1000000620000003C000000192D7EA218>102 D<00E000E001E000C00000
000000000000000000000000000000001E0023004380438083808700870007000E000E00
0E001C001C001C003820384070407080308031001E000B227EA111>105
D<3C07E01F00461830618047201880C087401D00E087801E00E087801C00E087001C00E0
0E003801C00E003801C00E003801C00E003801C01C007003801C007003801C007007001C
007007043800E007083800E00E083800E00E083800E006107001C006203000C003C02615
7E942B>109 D<3C07C04618604720308740388780388700388700380E00700E00700E00
700E00701C00E01C00E01C01C01C01C13801C23803823803843801847001883000F01815
7E941D>I<00E01003F02007F860060FC008008008010000020000040000080000100000
200000C0000100000200000400400800801001803F830061FE0040FC0080780014157E94
17>122 D E /Fi 39 123 df<001FE00000F03C0001C00E00078007800F0003C01F0003
E01E0001E03E0001F03C0000F07C0000F87C0000F87C0000F87C0000F87C0000F87C0000
F87C0000F83C0000F03E0001F03E0001F01E0001E01E0001E00E0001C00F0003C0070003
8003000300038007000180060081800604808004044080040840C00C08404008087FC00F
F83FC00FF03FC00FF01E237EA223>10 D<00200040008001000300060004000C000C0018
0018003000300030007000600060006000E000E000E000E000E000E000E000E000E000E0
00E000E000E000E0006000600060007000300030003000180018000C000C000400060003
0001000080004000200B327CA413>40 D<800040002000100018000C0004000600060003
00030001800180018001C000C000C000C000E000E000E000E000E000E000E000E000E000
E000E000E000E000E000C000C000C001C0018001800180030003000600060004000C0018
0010002000400080000B327DA413>I<0001800000018000000180000001800000018000
000180000001800000018000000180000001800000018000000180000001800000018000
0001800000018000FFFFFFFEFFFFFFFE0001800000018000000180000001800000018000
000180000001800000018000000180000001800000018000000180000001800000018000
00018000000180001F227D9C26>43 D<70F8FCFC7404040404080810102040060F7C840E
>I<70F8F8F87005057C840E>46 D<01F000071C000C06001803003803803803807001C0
7001C07001C07001C0F001E0F001E0F001E0F001E0F001E0F001E0F001E0F001E0F001E0
F001E0F001E0F001E0F001E0F001E07001C07001C07001C07803C03803803803801C0700
0C0600071C0001F00013227EA018>48 D<008003800F80F3800380038003800380038003
800380038003800380038003800380038003800380038003800380038003800380038003
8003800380038007C0FFFE0F217CA018>I<03F0000C1C001007002007804003C04003C0
8003E0F003E0F801E0F801E0F801E02003E00003E00003C00003C0000780000700000E00
001C0000180000300000600000C000018000010000020020040020080020180060300040
3FFFC07FFFC0FFFFC013217EA018>I<03F8000C1E00100F002007804007C07807C07803
C07807C03807C0000780000780000700000F00000C0000380003F000001C00000F000007
800007800003C00003C00003E02003E07003E0F803E0F803E0F003C04003C04007802007
80100F000C1C0003F00013227EA018>I<70F8F8F870000000000000000000000070F8F8
F87005157C940E>58 D61
D76 D80 D<03F0200C0C601802603001E07000E0600060E00060E00060E00020E00020E00020
F00000F000007800007F00003FF0001FFE000FFF0003FF80003FC00007E00001E00000F0
0000F0000070800070800070800070800070C00060C00060E000C0F000C0C80180C60700
81FC0014247DA21B>83 D<7FFFFE7E003E78003C7000786000784000F0C000F0C001E080
03C08003C0800780000780000F00001F00001E00003C00003C0000780000780000F00001
F00001E00103C00103C0010780010780030F00031E00021E00023C00063C000E78001EF8
007EFFFFFE18227DA11E>90 DI93 D<1FE000303800780C00780E00300700000700
00070000070000FF0007C7001E07003C0700780700700700F00708F00708F00708F00F08
7817083C23900FC1E015157E9418>97 D<0E0000FE00001E00000E00000E00000E00000E
00000E00000E00000E00000E00000E00000E00000E00000E1F000E61C00E80600F00300E
00380E003C0E001C0E001E0E001E0E001E0E001E0E001E0E001E0E001E0E001C0E003C0E
00380F00700C80600C41C0083F0017237FA21B>I<01FE000703000C07801C0780380300
780000700000F00000F00000F00000F00000F00000F00000F00000700000780040380040
1C00800C010007060001F80012157E9416>I<0000E0000FE00001E00000E00000E00000
E00000E00000E00000E00000E00000E00000E00000E00000E001F8E00704E00C02E01C01
E03800E07800E07000E0F000E0F000E0F000E0F000E0F000E0F000E0F000E07000E07800
E03800E01801E00C02E0070CF001F0FE17237EA21B>I<01FC000707000C03801C01C038
01C07801E07000E0F000E0FFFFE0F00000F00000F00000F00000F0000070000078002038
00201C00400E008007030000FC0013157F9416>I<00007003F1980E1E181C0E18380700
3807007807807807807807807807803807003807001C0E001E1C0033F000200000200000
3000003800003FFE001FFFC00FFFE03000F0600030C00018C00018C00018C00018600030
6000303800E00E038003FE0015217F9518>103 D<0E0000FE00001E00000E00000E0000
0E00000E00000E00000E00000E00000E00000E00000E00000E00000E1F800E60C00E80E0
0F00700F00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E0070
0E00700E00700E00700E00700E0070FFE7FF18237FA21B>I<1C003E003E003E001C0000
0000000000000000000000000000000E007E001E000E000E000E000E000E000E000E000E
000E000E000E000E000E000E000E000E000E00FFC00A227FA10E>I<0E00FE001E000E00
0E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E00
0E000E000E000E000E000E000E000E000E000E000E000E00FFE00B237FA20E>108
D<0E1FC07F00FE60E183801E807201C00F003C00E00F003C00E00E003800E00E003800E0
0E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E003800E00E
003800E00E003800E00E003800E00E003800E00E003800E00E003800E0FFE3FF8FFE2715
7F942A>I<0E1F80FE60C01E80E00F00700F00700E00700E00700E00700E00700E00700E
00700E00700E00700E00700E00700E00700E00700E00700E00700E0070FFE7FF18157F94
1B>I<01FC000707000C01801800C03800E0700070700070F00078F00078F00078F00078
F00078F00078F000787000707800F03800E01C01C00E038007070001FC0015157F9418>
I<0E1F00FE61C00E80600F00700E00380E003C0E003C0E001E0E001E0E001E0E001E0E00
1E0E001E0E001E0E003C0E003C0E00380F00700E80E00E41C00E3F000E00000E00000E00
000E00000E00000E00000E00000E00000E0000FFE000171F7F941B>I<0E3CFE461E8F0F
0F0F060F000E000E000E000E000E000E000E000E000E000E000E000E000E000F00FFF010
157F9413>114 D<0F8830786018C018C008C008E008F0007F003FE00FF001F8003C801C
800C800CC00CC008E018D0308FC00E157E9413>I<02000200020002000600060006000E
001E003E00FFFC0E000E000E000E000E000E000E000E000E000E000E000E040E040E040E
040E040E040708030801F00E1F7F9E13>I<0E0070FE07F01E00F00E00700E00700E0070
0E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00F00E00F0
06017003827800FC7F18157F941B>III121 D<3FFFC0380380300780
200700600E00401C00403C0040380000700000E00001E00001C0000380400700400F0040
0E00C01C0080380080780180700780FFFF8012157F9416>I E /Fj
12 120 df<003F800000E0E0000380380007001C000F001E000E000E001E000F001C0007
003C0007803C0007803C000780780003C0780003C0780003C0780003C0F80003E0F80003
E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003
E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003E0F80003E0780003C0780003
C0780003C07C0007C03C0007803C0007803C0007801C0007001E000F000E000E000F001E
0007001C000380380000E0E000003F80001B307DAE21>48 D<007F800001FFF0000701F8
000C007E0018001F0010000F0020000F80400007C0400007C0400003E0B00003E0F80003
E0FC0003E0FC0003E0FC0003E0780003E0000003E0000007C0000007C00000078000000F
8000000F0000001F0000001E0000003C0000007800000070000000E0000001C000000380
0000070000000E0000000C000000180000003000000060000000C0002001800020030000
20060000400C00004008000040100000C03FFFFFC07FFFFF80FFFFFF80FFFFFF801B2F7D
AE21>50 D<003F800000FFE00003E0F000078038000F001C001E000E001C000F003C0007
007C0007807800078078000780F80007C0F80003C0F80003C0F80003C0F80003C0F80003
E0F80003E0F80003E0F80003E0780003E0780007E0780007E03C0007E03C0007E01C000B
E00E0013E0070013E0038023E001C0C3E0003F03C0000003C0000003C0000007C0000007
80000007800000078000000F0000000F0038000E007C001C007C003C0078003800700070
003000E0001C03C0000FFF000001FC00001B307DAE21>57 D69 D72 D78 D<003F800000E0E0000380380007003C000E00
1E001E001E001C000F003C000F007C000F0078000F8078000780F8000780F8000780FFFF
FF80F8000000F8000000F8000000F8000000F8000000F8000000780000007C0000003C00
00003C0000801E0000800E0001000F0002000700020001C00C0000F03000001FC000191F
7E9E1D>101 D<07800000FF800000FF8000000F80000007800000078000000780000007
800000078000000780000007800000078000000780000007800000078000000780000007
800000078000000780000007800FFE07800FFE078003F007800380078003000780060007
800800078010000780200007804000078080000781800007838000078FC0000793C00007
A1E00007C1F0000780F0000780780007807C0007803C0007803E0007801F0007800F0007
800F80078007C0078003C0078003E00FC007F8FFFC0FFFFFFC0FFF20327EB123>107
D<0780FE001FC000FF83078060F000FF8C03C18078000F9001E2003C0007A001E4003C00
07A000F4001E0007C000F8001E0007C000F8001E00078000F0001E00078000F0001E0007
8000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E000780
00F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000
F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0001E00078000F0
001E00078000F0001E00078000F0001E000FC001F8003F00FFFC1FFF83FFF0FFFC1FFF83
FFF0341F7E9E38>109 D<001FC00000F0780001C01C00070007000F0007801E0003C01C
0001C03C0001E03C0001E0780000F0780000F0780000F0F80000F8F80000F8F80000F8F8
0000F8F80000F8F80000F8F80000F8F80000F8780000F07C0001F03C0001E03C0001E01E
0003C01E0003C00F00078007800F0001C01C0000F07800001FC0001D1F7E9E21>111
D<0783E0FF8418FF887C0F907C07A07C07A03807C00007C00007C0000780000780000780
000780000780000780000780000780000780000780000780000780000780000780000780
000780000780000780000780000FC000FFFE00FFFE00161F7E9E19>114
D119 D E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300dpi
TeXDict begin

%%EndSetup
%%Page: 1 1
1 0 bop 694 315 a Fj(EE290N)22 b(Homew)n(ork)262 415
y Fi(Problem)14 b(3.1:)22 b(Solution)16 b(b)o(y)g(Lizhong)h(Zheng)f(b)o
(y)g(giv)o(en:)808 515 y Fh(H)848 522 y Fg(0)909 515
y Fi(:)41 b Fh(Z)18 b Ff(\030)c Fh(f)1092 522 y Fe(Z)r
Fd(j)p Fg(0)808 585 y Fh(H)848 592 y Fg(1)909 585 y Fi(:)41
b Fh(Z)18 b Ff(\030)c Fh(f)1092 593 y Fe(Z)r Fd(j)p Fg(1)324
685 y Fi(let)h(the)h(decision)g(regions)g(b)q(e)h(\012)930
692 y Fg(0)966 685 y Fi(and)g(\012)1096 692 y Fg(1)1132
685 y Fi(resp)q(ectiv)o(ely)l(,)c(ie:)656 785 y(\012)691
792 y Fg(0)752 785 y Fi(=)42 b Ff(f)p Fh(z)15 b Fi(:)f
Fh(f)947 792 y Fe(Z)r Fd(j)p Fg(0)1003 785 y Fi(\()p
Fh(z)r Fi(\))f Fh(>)h(f)1155 792 y Fe(Z)r Fd(j)p Fg(1)1211
785 y Fi(\()p Fh(z)r Fi(\))p Ff(g)656 855 y Fi(\012)691
862 y Fg(1)752 855 y Fi(=)42 b Ff(f)p Fh(z)15 b Fi(:)f
Fh(f)947 863 y Fe(Z)r Fd(j)p Fg(0)1003 855 y Fi(\()p
Fh(z)r Fi(\))f Ff(\024)h Fh(f)1156 863 y Fe(Z)r Fd(j)p
Fg(1)1212 855 y Fi(\()p Fh(z)r Fi(\))p Ff(g)324 955 y
Fi(and)j(w)o(e)e(ha)o(v)o(e)h(the)g(error)g(probabilit)o(y)539
1076 y Fh(P)48 b Fi(=)703 1042 y(1)p 703 1064 25 2 v
703 1110 a(2)732 1076 y Fh(P)7 b Fi(\()p Fh(Z)18 b Ff(2)c
Fi(\012)922 1083 y Fg(0)956 1076 y Ff(j)g Fi(1\))d(+)1092
1042 y(1)p 1092 1064 V 1092 1110 a(2)1122 1076 y Fh(P)c
Fi(\()p Fh(Z)18 b Ff(2)c Fi(\012)1312 1083 y Fg(1)1345
1076 y Ff(j)g Fi(0\))618 1192 y(=)703 1159 y(1)p 703
1181 V 703 1227 a(2)741 1134 y Fc(Z)764 1228 y Fg(\012)789
1233 y Fb(0)817 1192 y Fh(f)841 1200 y Fe(Z)r Fd(j)p
Fg(1)897 1192 y Fi(\()p Fh(z)r Fi(\))p Fh(dz)f Fi(+)1075
1159 y(1)p 1075 1181 V 1075 1227 a(2)1112 1134 y Fc(Z)1135
1228 y Fg(\012)1160 1233 y Fb(1)1189 1192 y Fh(f)1213
1200 y Fe(Z)r Fd(j)p Fg(0)1268 1192 y Fi(\()p Fh(z)r
Fi(\))p Fh(dz)618 1315 y Fi(=)703 1282 y(1)p 703 1304
V 703 1349 a(2)741 1257 y Fc(Z)790 1315 y Fh(min)p Fi([)p
Fh(f)917 1323 y Fe(Z)r Fd(j)p Fg(0)972 1315 y Fi(\()p
Fh(z)r Fi(\))p Fh(;)8 b(f)1081 1323 y Fe(Z)r Fd(j)p Fg(1)1137
1315 y Fi(\()p Fh(z)r Fi(\)])p Fh(dz)324 1431 y Fi(also)17
b(notice)565 1395 y Fc(R)585 1443 y Fg(\012)610 1448
y Fb(0)638 1431 y Fh(f)f Fi(+)727 1395 y Fc(R)747 1443
y Fg(\012)772 1448 y Fb(1)800 1431 y Fh(f)j Fi(=)14 b(1)j(w)o(e)f(ha)o
(v)o(e:)593 1559 y Fh(P)48 b Fi(=)757 1526 y(1)p 757
1548 V 757 1594 a(2)797 1559 y Ff(\000)852 1526 y Fi(1)p
852 1548 V 852 1594 a(2)890 1501 y Fc(Z)913 1595 y Fg(\012)938
1600 y Fb(0)966 1559 y Fh(f)990 1567 y Fe(Z)r Fd(j)p
Fg(0)1046 1559 y Fi(\()p Fh(z)r Fi(\))11 b Ff(\000)g
Fh(f)1194 1567 y Fe(Z)r Fd(j)p Fg(1)1249 1559 y Fi(\()p
Fh(z)r Fi(\))p Fh(dz)271 b Fi(\(1\))672 1682 y(=)757
1648 y(1)p 757 1670 V 757 1716 a(2)797 1682 y Ff(\000)852
1648 y Fi(1)p 852 1670 V 852 1716 a(2)890 1624 y Fc(Z)913
1718 y Fg(\012)938 1723 y Fb(1)966 1682 y Fh(f)990 1690
y Fe(Z)r Fd(j)p Fg(1)1046 1682 y Fi(\()p Fh(z)r Fi(\))11
b Ff(\000)g Fh(f)1194 1690 y Fe(Z)r Fd(j)p Fg(0)1249
1682 y Fi(\()p Fh(z)r Fi(\))p Fh(dz)271 b Fi(\(2\))262
1809 y(and)16 b Fh(P)21 b Fi(=)465 1790 y Fg(1)p 465
1798 18 2 v 465 1826 a(2)488 1809 y Fi([\(1\))11 b(+)g(\(2\)])i(=)770
1790 y Fg(1)p 770 1798 V 770 1826 a(2)804 1809 y Ff(\000)859
1790 y Fg(1)p 859 1798 V 859 1826 a(4)890 1774 y Fc(R)931
1809 y Ff(j)h Fh(f)983 1817 y Fe(Z)r Fd(j)p Fg(1)1039
1809 y Fi(\()p Fh(z)r Fi(\))c Ff(\000)h Fh(f)1186 1817
y Fe(Z)r Fd(j)p Fg(0)1242 1809 y Fi(\()p Fh(z)r Fi(\))j
Ff(j)f Fh(dz)r Fi(.)967 2574 y Fa(1)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF