CA2616067A1 - Optimal encoder and encoding method for dual stream system - Google Patents

Optimal encoder and encoding method for dual stream system Download PDF

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Publication number
CA2616067A1
CA2616067A1 CA002616067A CA2616067A CA2616067A1 CA 2616067 A1 CA2616067 A1 CA 2616067A1 CA 002616067 A CA002616067 A CA 002616067A CA 2616067 A CA2616067 A CA 2616067A CA 2616067 A1 CA2616067 A1 CA 2616067A1
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Prior art keywords
encoder
free distance
distance condition
memories
data
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CA002616067A
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French (fr)
Inventor
Sung-Hoon Kim
Jae-Young Lee
Seung-Won Kim
Soo-In Lee
Chieteuk Ahn
Ho-Kyoung Lee
Chang-Joong Kim
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Electronics and Telecommunications Research Institute ETRI
Original Assignee
Sung-Hoon Kim
Jae-Young Lee
Seung-Won Kim
Soo-In Lee
Chieteuk Ahn
Ho-Kyoung Lee
Chang-Joong Kim
Electronics And Telecommunications Research Institute
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Priority claimed from KR1020060052548A external-priority patent/KR100706608B1/en
Application filed by Sung-Hoon Kim, Jae-Young Lee, Seung-Won Kim, Soo-In Lee, Chieteuk Ahn, Ho-Kyoung Lee, Chang-Joong Kim, Electronics And Telecommunications Research Institute filed Critical Sung-Hoon Kim
Publication of CA2616067A1 publication Critical patent/CA2616067A1/en
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/25Error detection or forward error correction by signal space coding, i.e. adding redundancy in the signal constellation, e.g. Trellis Coded Modulation [TCM]
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/25Error detection or forward error correction by signal space coding, i.e. adding redundancy in the signal constellation, e.g. Trellis Coded Modulation [TCM]
    • H03M13/256Error detection or forward error correction by signal space coding, i.e. adding redundancy in the signal constellation, e.g. Trellis Coded Modulation [TCM] with trellis coding, e.g. with convolutional codes and TCM
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/65Purpose and implementation aspects
    • H03M13/6508Flexibility, adaptability, parametrability and configurability of the implementation
    • H03M13/6516Support of multiple code parameters, e.g. generalized Reed-Solomon decoder for a variety of generator polynomials or Galois fields
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0041Arrangements at the transmitter end
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0059Convolutional codes

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mathematical Physics (AREA)
  • Error Detection And Correction (AREA)

Abstract

Provided are a method of estimating an encoder for dual stream transmission, and an encoder using the same. The method includes the steps of : a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data; b) obtaining 1/2 rate encoder combinations that sustain backward compatibility with a typical trellis encoder; c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the 1/2 rate encoder combinations; d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; and e) configuring an encoder according to the obtained relation between the memories and the input/output signals.

Description

OPTIMAL ENCODER AND ENCODING METHOD FOR DUAL STREAM
SYSTEM

Description Technical Field The present invention relates to a trellis coded modulation (TCM); and more particularly, to a TCM encoder estimatirig method for transmitting dual stream and an optimal encoder using the same.

Backgrourid Art Trellis coded modulation (TCM) is a modulation scheme designed through combining an encoding scheme and a modulation scheme, which improves transmission efficiency while minimizing the loss of a frequency width.
Dual stream transmission scheme is a transmission scheme for improving transmission efficiency while sustaining backward compatibility with a conventional encoding scheme. That is, the dual stream transmission scheme transmit data stream by interposing a stream encoded by a code having a superior code gain compared to a conventional coding scheme.
Although a TCM encoder using a single stream was introduced, a TCM encoder for dual stream is not developed yet.

Disclosure Technical Problem It is, therefore, an object of the present invention to provide a method for estimating an optimal 1/2 rate encoder and an optimal 1/4 rate encoder for a dual stream transmission scheme that is introduced to improve a performarice for a standard 8-VSB, and an encoder using the sameõ

Technical Solution In accordance with one aspect of the present invention, there is provided a method of estimating an encoder for dual stream transmission, including the steps of: a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data; b) obtaining 1/2 rate encoder combinations that sustain backward compatibility with a conventional trellis encoder; c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the 1/2 rate encoder combinations;
d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; and e) configuring an encoder according to the obtained relation between the memories and the input/output signals.
In accordance with another aspect of the present invention, there is provided an encoder for dual stream transmission including: an input terminal; three output terminals; and four memories connected to the input terminal and the output terminals to satisfy an equation:
~(~) to~' h h~7~ le 4s ';
s~
S t2 4 4 . õ~ ~
~~ h(t) ,i f ' St~
, N(4) h(a) k~1 oC, n1(4) hI(3) hi st~
oto N(~) m(a) where st4, st3, st2, and stl denote states of memories, ot2i otl and oto denote outputs of an encoder, in denotes an input of encoder, and hj is an octal number.
Advantageous Effects The method for estimating an encoder for dual stream transmission and an encoder using the same according to the present invention reduce a signal-to-noise ratio (SNR) that satisfies a threshold of visibility (TOV) by improving the receiving performance for normal data as well as robust stream.

Description of Drawings The above and other objects and features of the present invention will become apparent from the following description of the preferred embodiments given in conjunction with the accompanying drawings, in which:
Fig. 1 is a flowchart of a method for estimating a TCM encoder in accordance with the present invention;
Fig. 2 shows a typical trellis encoder;
Fig. 3 is a block diagram showing an encoder having an enhanced encoding unit;
Figs. 4 and 5 are views for estimating an encoding structure from encoder combinations H in Table 1;
Fig. 6 is a block diagram showing a dual stream transmission encoder with an encoder shown in Fig. 5;
Fig. 7 is a block diagram showing a 1/4 rate encoder in accordance with an embodiment of the present invention;
Fig. 8 is a view showing a typical convolution encoder; and Fig. 9 is a diagram illustrating an encoder having the largest free distance, for example, 692, for a robust stream among encoder combinations described in Table 4.
Best Mode for the Invention Other objects and aspects of the invention will become apparent from the following description of the embodiments with reference to the accompanying drawings, which is set forth hereinafter.
Fig. 1 is a flowchart of a TCM encoder estimating method in accordance with the present invention. Herein, encoder estimation is a process for obtaining a relational equation between memories and input/output signals to satisfy a predetermined condition and configuring an encoder to satisfy the obtained relational equation in order to design a TCM encoder for dual stream transmission.
Referring to Fig. 1, in order to estimate an encoder, a free distance condition for robust stream or robust data and a free distance condition for mixed stream composed of normal stream or normal data and robust stream or robust data are set-up at step S110. In the present embodiment, an encoder is configured to have 16 states of a lattice diagram for decoding by including four memories.
At step S120, it obtains a 1/2 rate encoder combination h that satisfies Eq. 1 and sustains backward compatibility with a conventional encoder. In Eq. 1, st4, st3, st2r and stl denote the states of the memories, ot2, otl, and oto denote the outputs of the encoder, and the input of the encoder is in.

h6(4) hG(3) h6(2) hG(1) hG(0) S~ h54) h53) h52) h51) h50) st2 h(4) h(3) h(2) h(1) h(o) st st = t734) /73(3) /732) /731) t73(0) St3 042 /724) h23) h22) h21) h20) St2 Eq. 1 otl hl(4) h1(3) h1(2) h1(1) hl(o) st1 oto h0(4) ho3) ho2) h01) hoo) Herein, the conventional encoder is a typical trellis encoder shown in Fig. 2. In order to sustain the backward compatibility with the encoder shown in Fig. 2, the encoder according to the present embodiment includes an enhanced encoder 10 disposed front of a free coding block 20 and a trellis encoding block as shown in Fig. 3 with a free coding block and a trellis encoding block shown in Fig. 2 fixed. An encoder in 11/2 rate encoder' or 'encoding combinations' denotes the enhanced coder 10.
In Eq. 1, all of the operations are a modulo 2 h =Eh ~') 2' operation, simply, j ' . When hj is expressed as octal numbers, hj must be fixed as h4=1, h3=6, and ho=1 in order to sustain the backward compatibility with the conventional encoder. Therefore, a 1/2 rate encoder that sustains the backward compatibility with the conventional encoder is estimated using h=[h6r h5, h2, ho] with h4, h3, and hl cancelled. Herein, the 1/2 rate encoder means that one symbol transmits one bit data.
After calculating the encoder combinations h at step S120, it obtains encoder combinations H that satisfy a free distance condition for robust data and another free distance condition for mixed stream of robust data and normal data from the encoder combinations h. In the present embodiment, the free distance condition R for the robust stream is setup as 164 and 168, and the free distance condition R + N for the mixed stream of the normal steam and the robust stream is setup as a below Table 1.
Table 1 shows 2688 optimal 1/2 rate encoders H, where R denotes a free distance for a robust stream and R
+ N denotes a free distance for a robust stream and a normal stream.
Table 1 h= [ 2 20 P - 4 1 6 4 - R+ W 44 h= 2 20 27 141 7; 164 R~ + hl: 44 h: [ '? 7t ~i 41 ~ 'ii 1 74 F +N: 44 h=[ 2 ku 7 15i . i H 1 N. 14 h - 2 20 ~~ 51 ~t 164 F-; + hJ: 44 [ 2 20 3 3 J41 1.64 R+N: 44 2 ~~ ~~ ~ 13 h=: 2 20 36 51 164 R + hl: 44 h= : 2 21 25 951 164 R+ N. 44 z 1" 1 ;-li h= 2 21 30 41 1 ti R+ N= 44 h= F 2 21 30 151 ; 1 &I R + hJ: 44 tlz-: 1 iP, 5 1_ii~, + 141: 44 ._ h=[ 2 21 -3 ? . ii4 h= 2 21 3 4 1 R, g64 R+' Iwl. 4,1 h-r 2 21 ::f 51 R: 164 R +Ns 44 ~ .~. ;i 14l I4 n +N= 44 h= 2 ZF 151 ;i. 1 64 H + fAl, ~1 1 h= F 2 L=' Z1 5 : 164 R + hJ: 44 hz L x ~ PW 1 4 . jft = I Q4 R + N: 44 h=.[.. ~ ~~ 33 4 ; 164 R -,, N. 44 h= 2 22 33 R 16 4 R + N: 44 h- :2 22 34 51___ 1ii4 P, + N. 44 bd.-.2 "', ', 7 .-A . ~ E;=~ R*1~L 44 ~ _ :::........................:..:..:..
h= 2 2:' 24 141 I. 1 ci4 P iw N. 44 h= 2 23 27 151 ; 164 R+ FJ: 44 - ~ . U . fl 91 :~- : 1 4 + ._~ _'14 ~ 4 R + 1J~i~1 h= 2 2 =241,_ ri 1 C9 R+ N; j 4 h-L 2 32 151 164 R + N: 44 %L .~.. 74 1 Ci4.. R -f-hl~ ,44 h- 2 :L,J fS 41 (M R -~- h1' ~i r1 h= 2 2~3 20 9~ WFi: 4 R + Ns 44 h..-'.[ 2, 7'1 9 4 1 4 4 h:- ~2 e-4 31 41 164 R nia N= 44 h- 2 24 32 5 ; 164 R + N; 44 h=f 2 24 35 4 : u: R+ h1: 44 +
~ ...... .. ~' fM1+ '~
h= 2 .24 3';~ 51 1 i :5 h= 2 24 37 14 . di1 R+ N44 P + P.d~ -14,,, h=( ~' 25 2 i It.~ F~ mi- N. ~~~1 h= 2 25 -3G 41 n 164 R+ Nx 44 h= ? 3; 5 s 164 R+ h1: 44 4] r~~l~I ~+N h ~[ 44 2~...3+ 1 5 F1 l+':~ R ~ h! 14 h= [ 2 25 36 51 ;n 164 R + N. 44 r F ~ ~ 741. R~~
h=1 2 26 21 1-t 76-4 R + N. 44 ..... . .,..,..
2 26 22 151 H= I;I R+ N; 44 .~. 2 26 30 5T R:164 + N: 44 -=L? .2Q....33 .......... 4' e I A_.... 4 W 44 , mm f 2 2635 5 R= 164 L!
= 2 26 35 141 H. 164 +ft; 44 I_W 2 .26 37 41 R: 1 64 + N; 44 ~C, 17 1,51....
2 ~a'' 20 1,11 W164 + N: 44 a =__ 2 27 23 151 R.164 , + N: 44 -'I K' 2 32 41 R: 164 N: 44 2 27 34 51 Rx 164 R + 14; 44 (~?~..'~.<a'34 1<.4.. =164 R + N; 44 2 27 36 41 R. 164 R 4 N 44 1 2 27 ;36 151 R: 164 R + N: 44 6p [~ ~ 50, , ? ~ _41_ R I ~..~ _!R. ~~ NP 44 Y1'2 2.1 7.5 ~I E.-' ~ .~.Q tg, ; 5 ..... . 1 64 + :N;44 Rk 164 EN; 44 ~I 1 R., 4 +N: 44 2 30 26 5 F3: 1 ~A + N; 44 p--=r 2 30 34 151 R, ;'64 + N; 44 ~_~'10 2 7 141 I3 6:~ ~ 4-Pw -'t 2 -" t Ea i'd~, Nv 1 = 2 31 20 151 R 164 +W 1_......
141 R,c'.l R+N; 44 2 31 24 41 R:164 R+iIV: 44 =ik34 rR + ~._..'14 .

~? 31 ~ ~~ 1 ~~ ~i: 164 ~~ ~ ~ 4 4 ~-- 2 31 36 141 R' 1 64H + N; 44 R: 164 11, + N; 44 ..14 ~ fla 'N: -44--2 32 23 Ra i a11 N; 4.4 2 32 :~3 15' F?: ! i~ 1+ N, 44 ' : j I i ,t) 4 41 == 2 32 27 4t H: 16A h;;
2 35 141 R: 164 ..._~ 1 __-~i f{ 1 G) :' ~ ~ r ry 1 Go 51 ~--P=~ 20 1 11 1 Fi 6 1 1 - - Pa . 44 r --4 4~ N . 9 2.33 22 15 6 4 t9 14 . ..........
h- 2 Sq P5 51 R: 164 ~._hl; 44 ~2 Fi: 16d -. K,--. 44 _.~.
o . 34. 1 4~ __.......,.. 1 ~~~ . .. Fi + N: ,t4 31 15 R: 164 4 N 44 2 34 21 41 R 164 t44 ..? 3 R 1,64.... - 14 ..:. ._....__.
h~ 2 34 26 41 " fr~~ N , N~.~4 h'= 2 84 25 151 . 1 k~4 R + N: 44 h= 2 34 27 51 LT 164 R + No 44 J 1 Qj_ + =_44 h= 2 34 30 151 : 164 R+ N. 44 h-F 23 4 33 141 ... p16A R+ N: 44 h=( 2 35 21 : 4 :V:4 F&+N= 44 +.N:-H + N: 44 h' 2 .15 "-1 15 I 1f 1 R + N. 44 h= :2 .... 35 26 51 ; 1,74 R + N: 44 - -- - m -FLtj~L-44 h'~ ? ''7 ro I 1~ P + N. 44 h=1 2 35 ,32 14I , 164 R +N: 44 h-[ .r?J. 164 + , 44 h ~ 25 51 -~---~-~ F~ + ~!; 44 h= 36 25 14i 169 R+ N: 44 h - - 2 L 7 _ _ L F4 164 P + N= 44 151 RLI, h 4 I , + N 44 h= 2 6~a 31 141 Wi64 H + N: 44 h== 2 3 ~~, 32 151 9: 1 64 R + Nx 44 h= 2 37 22 1~4 R t N: 44 h -l 2 37 24 F - , 1 6e R + Nr 44 h ~ ~ 37 24 14. ; 1 64 7 + Ns 44 + P4:-44-i7= 2 7 26 15: 164 ~- +N: 44 hW 2 ~l 30 141 ..:164 f"-+N: 44 hA 2 37 33 15) 16.4 F+ N: 44 Po:L ~ !>() 9 +
h== . 3 20 26 161 168 f ' + N: 48 h= 3 2r) 27 1~'x 3 164 R + N 48 h z - - r 3 77 _.1 7 . 1 ~t~ f? + r~J e 56 ~
, ,..
~ - -~ ..
h' 3 20 30 16 :1 8~3 + N;. 48 h= f~20 30 171 !7 '1 ,J F; + N: 56 Lr- L-j-2Q ,31 1l 1#i4 P, + Nn 48 P + 1~1= 48 .~.... x __.. h=[ 8 20 33 61 " ~ 48 h=f 3 20 33 71 k;= 168 R +Ns 56 Ni 3~>O TI I,Z s1T V34 (++N 56 h 164 - F }, + _ N 48 h 3 20 O=1 71 146 6 P' +- N; 56 h==r 3 20 35 61 16,38 F'~ + N: 48 ,'i~~ Fi. 1 fi 4 ,..., .. a ~~.. ~, h~ 21 2 5 1 1 R 1134 R+ N: 56 h= 3 2.1 26 161 164 R + N. 48 h:- 321 26 17 :16B R+ N: 56 C ? '? '17 A1~~ P I flQ=..= ................~~n~ =f_ 48 a J ~ 30 1 6 1 fi 1i:i4 ~. k.{ 18 31 71 H.164 + N; 56 3 ,? E 31 161 R__ R+N' 48 ............. .. ... ....

3 21 32 61 h à Ci a k I t',', 48 L 32 168 x+N: 56 =3 21 34 61 R 168 N; 48 ~ - ~=!
E.~[ -1 11 3 21 36 71 pA 6:8 Ct ~
3 2-1 36 71 RN i 64 n + N; 56 3 22 "1 161, K.19; +
3 L'i -3 161 R; 1 64 N. 48 3 :22 25 171 1-, ; 168 R -t= :N. 56 17 J,.. ~ 3 1,9 ~1 + 5 ~
', ~ f 30 bi f;; JC I + 3q. 48 :
3 Ci f~: 163 + ~~. ;;
~~~ J s~ - fafi .
_.....E ~ 1 a~ H EkI4: }F_d -:. .
~3 32 71 Rg 164 & A'.f'',= 56 _: .. ..~
6 : 1- 8 48 3 lez 32 1 ZL_ RL 168 N; 56 1== ~ ~~ ~1~ 1 81 H: 164 + N; 48 T...
3 22 35 7 E'2a 1 ~~ 71..+:N; 56 tl= 2 _36 = IL4__~ M 48 3 22 36 71 R. 1 68 14; 56 3 22 37 61 R: 118 PJ; 48 3 24...1 Ci R=_u f Ci 4 ~ 23 24 7 ~ f~ el > 56 ~i 161 NI;48 ~'L rs~ 1 7j r i~j~
~ ~~ ~ t; ~ 18 ;~
3 23 30 71 C iD 01 K: 56 "0 17j__ P
.~~L.'? ~i 61 i )6 .~ "~"~."~'""" =' I ,. ,~ õ'.".""""""" ~"' p= 3 23 32 16 R~ 1 t~4 R . U
~6 4 , [. 3 23 33 161 R~ ~, 2:3 33 171 R: 'I 68 13 56 ~''_ 24 1. Fi: i6A R E
~~. _ _...
,4 3 :2~ 37 61 R$ 164 =t N 48 ,--~ ~ ?3 37 ; 7 R 168 R + tw'6 2~. (~~~ ~,?p ~' tat;
f, f 3 24 2~ 16 R a 16~ + N 18 ..........
h_ 3 24 23 16) R: 16.4 + N 48 f[ l-~'~ +! ~~.........
h z - 3 - 2 ~ ~ C , - _6 R +_~ - 4~~ ~
h= 3 24 30 i 1~.~ t 68 R + t~ ~:~E~
h=' 3 24 31 ~i R~ 168 R+ N,' t'!
hm 3 4 33 71 R: 164 R+ N. ;. "
h- 324 34- 2j- R 1 64 + ~. .
h=C 3 24 311 16 Ra 168 R+K
h- [ 3 24 31 17) 7. 16 8 + --6 _[
h= 3 14 ~u 61 h=.. 324 37 61 7- 9 E3 + I~ 48 ., ..
_ . , h~~- 3 24 V 171 R~ 1r-4 R + N ~~.
h=. 3 2'517. F. 164 R+ N, aG
hm[ 1P 1k~4 Pf h= R + r h= 3 25 1 1 63 k + P .
h~ 25 30 6 R~ 1 68 -R + N; 4 h=[ 3 25 31 --M + N ~ W
h-[ 3 25 31 71 P ;; 168 ~ R+ P': 56 h=[ 325 32 71 R: 164 R+ h. 3 6 fi [~~~ 3~# 1~1 R= 4 R~ + t, Yi-= 3 25 35 71 A,164 R + h. bb h=- 325 35 161 R> 163 R+P.
hm[ 1 9 n 171 (~ 1(>9 R+~~
'5 36 R 11 h=[ 3 25 36 71 ~. 1 68 B { P 36 f f " xi!~ ::T 1 71 ( ~ . 1 t ; ,l R + N h ........, h ,t8 ,.i h=C 3 26 LJ 1C F;:168 F;+N; 48 hm 3 1 1 6 F'+ 1~, R+ N: 48 h- 3 2 21 17 h=1W Rt YE6 h= .3 26 22 17 h-1. 164 R+ N: 56 h-[ 3A 31 71 F 164 R+ W 56 .~ +
,N.u 44 h= 3 2t 7 1 G3 R + ~. E, i:~
h=f 32f- 33 61 R' 168 R+ h h= 3 26 35 61 r;- 168 R~
h=C 326 35 7 R: 168 R~ F 5v I 1154 , h- ~.a 7j R: 164 h, h-~ 3--~-'ix 36 161 Rx 1El;3 R+ N, -, ; 1~? F1' 1 R+ N. : t;
+
h~= 6' r ~+~ 1 f i 164 A + K.
h= 327 %i 1 a hj 1 E;3 R+ N; Et;
-- L
-L97m j 4 0 h'= 3 2 7 L;r 171 W 1G-1 R+ Iw: 56 fI=[ 3 27 30 ? F; 1~34 R+W 56 1#'yR R+N 48 tt=--.~ ._'~. _~'' _ __.
_...~
h ~7, ,3:3 }1 1b4 L'._.F. A 4~
h-=[ 3 2r' 33 7. l. 168 F; + r+1: 56 t1.- 8 27 '? 4 6 : i + 3 Ft + fVm 48 .~- ~~' 1. -7 9 ~ . ~ ;+ ~ ~1 rel ~___ _____..
h- :L.r i 171 1 56 h=[ 3 27 aa ~a . 1B 4 F?+r+J 48 h 7' 327 6 1 6L (- 4 R + N: 4t.i h= l 27 V 7 r,= ~ 64 R + N- 56 17= ~ 27 37 161 k 1 R + W 48 h- : 3 27 37 17 3 R + r 1 5 01 164 fP, i rJ
L-=LI_U
h--[ 3 30 20 16 ,. lbb P, ~ rl lb 1433 R '11 r] t-, -~ ~4 r=; ~ N ~e h ,:.[. 3_ 3C) 22 6 = 164 IV 18 h= 3 30 23 61 168 R , N ; ,l h= 30 23 7' i1 3 R 1J ~
. ~~ - t'A r~ .
h==[ 1 30 ~l 6 164 r~..... N: 4!
h== 3 30 24 71 j ;J}?, R +Nm 56 L r = L i]8 . + 4.
.............. . : ., .. ......
h= 3 30 27 7 r~ Al R + hd 66 h- 3 30 34 1 e ; , 64 R + hl; 56 h=.. 3 30 36 1~J~ 1 9" 168 R + N: 48 ~._ h,_~ n- , a - 3 2 .1 # 1 I: ~ 1 + : 8 h , : ~ ~ 30 31 l . 168 R -t= N: 56 h-= 31 20 181 "T: 16 4 F, + r41a 48 21 . 7].... 1 64 > ['L~~
h- 163 t' .{,. N- 48 Jr - ~ ~ F} t i7'~ l~~t3 F, -h hl= 56 h-",.L ~ 3'_ , , . ~ , . . . . . ; ~ . A R+ C~?J~. W . . ~ ~ .. ....... h I >
+ N .;t, _ .._. . ,w, ~ .
h- L 22 P + N
~=a h 3 31 23 61 R + Nv 4~
-F
P N. 48 tia ~7~ F -~ f~: 56 ._ t~ I} y s. 26 71,...,..,.w,...,. R ~ rl~ f}6 h-=~ j 3 ~
.~~J ................ 543 3 3, ti~~, 171 R; -;.I R, t f~~J it~
_-_...
~ .. 1 a I, - o P-~ hd h=~ :' . 1 6I H + NA 1t;
h= 3 -4,-2 ('i 63 R + hl' 48 ;i2 21 ~._71 R 1 rc ,~~ ~.._ r~l :0 I.l. :.~~ ?1 17J FI 64; { N
h= 3 2 '2 2 R-1- N
h- 3 c'. 2 2 163 F; + Cel: 48 h=J.._" 32 23 16 h'1 6q P+N: 4u ht= 32 25 71 F3: I1 R+ N: fl 1,--R + N' el ;
h L6 J~ -3 f ~ = 1 i H + N. ti _i R +N: 4 h u32 27 (31 R: 1 68 h~-=f 332 34 1 61 R:1 ~8 R +N; 48 LZ' h-~ ! 5 1; I~; ,168 ~3 + r~1: 56 I = ~ 32 y: 6 171 R:'R 64 R + N: 56 h- 3 ;1 20 6 F3: 1(:":; R+ N. 48 f 71 r' 16: g 1' + hJ:
Ir F = ~~Y 1'1 r= iiiq li W 56 - - -h L 3 13 2' C F - 164 L1 + N. 48 ........ ... . . . .....
h L 2 .__m~ , 2 ._1.._t?1 - - _. _ R 1_~? 4 R
wal-"-i -~av i 1 ().,l h-'- 3 3323 1 6 R-1_ 1 63 8 + W al h==- 3 33 23 171 R i613 R+N< ;,.", h=6 R" I' + +. "m"~'~~ ~
h = [ ~ 3 26 . 61 Fa 1 R rFN: 48 h'= 3 t;3 21 6 W 1Ãa 1l< R + N; 48 h[ 3 t,; 27 71 Re 1 63 R +N: 56 1 ~-t. +
h= _.. ~_~ ~ 1 ~] P 1 6 ~ 1~1; ~A
h= a n 35 161 f-s: 1 6J R + NK 4 51 h- 3, 33 37 171 R' 164 Fl + hl : fi"
i;_i + NJ =1>, h 3 34 20 ~ R: I jd R + N- ,t h= 34 21 fi R iua R + N: 48 h- 3 34 23 71 R: 1': 6~~~: R + N; 5,~

~I A_r'1 71 h= 3 34 24 161 W768 R + N: 48 h= 3 34 24 171 Fl: 168 F3 + N: 56 fl~ ~4 r a F3: 164... R + N: 48 rti k i Ft 164 +
h= 3 34 2r G,1 fl I(;a R +N: 48 h= f 24 27 71 F 169 R + fV: 56 S 4.._. '' 17 ~ 1 G 4 . ~ R t._N ~ x._ ..
r~
17] R 10:1 r ~Pd: !47 ;- I =' 1 Fl ~a '. 168 I~ ~ 1V fl h-~... ~1 -13 161 P,:16?1 R + N e 48 ft~~,l 34 T3 1_7 ........... I~ 1 ~ + IV_ 1 6,q R "r N: 48 h 3 :i5 r:1 61 W 164 R+ W 48 h= ~ :q~ ?1 71 R + Ne 56 h= i 3 r G_}1 1 k? f-'~' 164. R -I. N: 48 h= 3 : 5 3-a j Ra 1 xl;i F3 + N; 5'a h= 213~ 1 C-,J_ , F. 16 ' R h! 4P3 = 3 35 26 171 R:1 68 R + N:
3 35 26 61R~ 'I F38 R+ N 48 2Q 7 R,: fi ~~; q Ã? + 1 tiJ ..... ' 6 3??~S 1 f? 1 ri :+ g i"J t)6;
~s 3 35 L { 61 H: 16,11 R + N ; 4 t 17 P 164 R +N :b _~.._ . _ .. : ~.. . ~
3 :35, ;;> 171 W I 1;~ >i i- N: 56 =L ~ ~~ '3 1 ~ F,: 1 f;!=+ Fi + N; 48 3 36 22 61 ls:164 ~I N: 1 1 ~ 36 22 711 F3r 1 68 R + N; 56 = 3 36 24 61 R-164 R =w N; 48 3 36 25 6 R: J fi$ R + N: 48 3 33 257 1R:1 R +W 56 == a 36 25 ] a ~~ i 64 R+N. 56 ta 3 36 26 71 W~ 64 A + JV; 56 ;..:C 3- 36 26 1G R' 168 R +N; 48 3626 .1768 _R + N. !56 3 36 27 16 R: 164 El + N: 48 ,t=f 3 36 30 161 R. 1 6?a R + N: 48 ~ILAI (',,t + N: 4~s 3 36 31 171 H 1 ~~! -~ ~ fV: 56 3 36 32 1 ' F3 --= N 6. .. _ C 6 37 2t 61 b 1 6 .~~R rW ri = 3 37 23 ? R. 161 R + N. 4 3 3 37 23 _ ? 1,. . O: ~ ~ ~ , f 6 ~
3 37 24 t;J_ R: 168 + 111f6 ~ 17 2+' r R;: 168 P -r N;
3 37 24 _1F3:164 R + N
:!7 : 6 ~4_ R + _~1-48 -F 3 37 j 161 R:. 'I 64 H + N; 48 - 3 37 27 711 R: 1 64 R + N: Fh .
La3-x 2zACj RAN + t~' 4 i'.; ...
;:~ 37 27 1 :A F3: 7 ~8 R +x N; ~E
= 3 37 30 1F' R:164 R +P+J: 48 G --_ -+
3 37 31 1 ~a R: 1 68 R + N= :"i 3 77 33 171 R: 1 64 R + N: 56 m ~j = J 4 R + W 44 ~ v [ ~ 0 3~ R~ 1 64 R =r iV A~~
~ 2.6 I a 4 L P: ~ 64 R + N, 4 f - ~ i ~ ~ P 1~ ? Pi + tV = 43 N 'J4 ~T -1 -3 ? (--,4 ~~. 1 a ..... ..... .~_._ :__~ '.. . ~ .
~ C4 2,I 33 17~ R: i - ~ H -F PJ:mm:16 1me 4 21 35 41 F?' 164 R + N: 44 _ 4 21 ~~a 5 !~- ~f + ~

22 ~{s lf: 1~r1 F~ + 46 ~.122 32 '3 Fl, 16111 P + l: 44 t; .1 x1 ~a ~~_ e_ F i64 R + N: 48 ~ R*_N =_-4 1 51 ! 4 Pt + N: 48 t=1 3 41 R, 64 R+ N: 44 (P: +.. : 4 J/ 41 Ff: 164 f~ +M 44 t1 rl 0 4 R; 1,64 ~ + N: 44 Pt [ ~ ? _33 5 R: 164 R + N: 48 4 24 "1~

4 ~ ~ ~ 164i~ + ~J: 48 ~i-4 2 5 I41 R: 164 R + N: 44 1~..,( 4 ?;7 ~A~ 4 ~<.~a ~ 15 ~1 F~: 164 I~ + N; 44 25 ' -7 5, R: 164 R + ',1, 4Ã1 !.. ..l 4 P E = 1 3 i n R 164 (; + N: 48 ~. _ I~ t~E' ~4 1 t~~...~--~õ~,.,..~,-R; 164, R N: 48 h=j..._.a. 26 36 41 : 164 F~ + N: 44 -C 4 ?7~ R 4. = -18 33 41 R: 164 gh ~N =1 4 27 35 5 14,' 164 R ~ N: 48 P 7 37 41 ~..m. 1(~ :~ ,,,,., ~ ~~ ~~'~4~ .
i~.~... 1 3(~~ ~ ~~. f1_ 1 f ~ _ ft h E 1_ 1 e~0 22 5 p; 16.4 IR + N: 48 1a 23 0 24 4 R; 96 4 Ft + !N: 14 9e a 21 l fx W4 11 %4 ,! 23 5 Fi, 1 64 R: IT 48 41- iC, ,; H + T 44 ~-,~!_z ~ i ! + ti= 48 1 20 5 Fl: ] 64 ! i + N: ~~
~ 32 22 41 R: 1 64 R + N: 44 6 4 ! ,,: 164 . N q 1 5 IR' 64 R+X: -8 _..e._ ] _ . K. 1 64 R + N: 44 33 24 t4 FfT-R. 8 . _ _, . ..
'a JS 2t 41 R: 1 64 R + N: 4'1 ,, - 4 34 20 41 R; 1 64 R +N: .44 1,. .1 34 24 4 R; 1 64 (~ +,N: 44 4 34 26 51 R ; 1 64 R'. + t+d: 48 9 4 FZ: ftt : 4 j.: 4 3:5 22 1 64 R + N; 48 4 a5 25 4 k: 1 64 R + N: 44 435 27 51 11:164 R+ N: 48 ~e 2 6 Q4 F~ +,N. 48 1F4 R NI; 11 4 3Q, ;j~ ({ 7f4 3 1 I 36 26 1 R 16~1 N: ~ h, "7 20 51 R: 164 R T:; 48 7 '' 4~ 4~ar,,,.,, R; 764 R ! hi; .18 4 37 27 4 R: 164 4- N; 44 ! ;.I =?~-3_4 _.... R: I 4 48 G. 32 ti R= 164 ~..ami 114 2.0 34 41 R; 1,64 gl-t. .._%l; 48 111 37 51 R; 164 R + N: 44 + ( ~1 q ~j N' 46 R.; 164 Ii hi; -14 5 21 35 4 ; 164 R ~ N: 48 f 5 ..21 ~~ ~1 R, 164 P 44 6 ~~ 30 j 6 R 164 k .~. r,,4: 44 - :
5 22 32 4 R: 164 R + P &: 48 +=' 5 22 35 5 R: 164 R A i, 1: 44 5 23 Y1 55 R: 164 R+ 4; 44 e~ ~ 2:3 33 ? 41 Ra 549 48 22: 34rj R: 4 !R " t'I!
f 4 N ;
...
530 4 F~: l+u<~ R+ hl =18 ~ 544 33 5 R 1;4 R+ N: 44 24 ~3 1 r1F 7 f;:~ 48 j 5 24 36 51 f ~',; R + N; 44 = 5 25 31 41 F 164. ii + '- 48 C 5 1 fa4 p +' 25 35 4 !- 4 it 5 25 37 51 1.64 R + N: _ 4 ?l R: 1 64 R + N: 44 ~ ~~~ 6-r R: 1 64 N : 44 3 4 R: L4 R+ N: 48 iõ , -; :1 q t a~r ~;-,~ 4]
I. a t?' ~~; s3 ~~- 5 27 35 51 c 1 I fi + N: 44 :j 4 R. 1-4 R + N: 48 Q 4 R- 164 R t :,:
~1 -L5 30 22, 5 R: 164 R+ N: 44 4t 5,3L 24 4 R; 164 R + N: 48 t+-(~ ~r 4 R + M: A4 ~- 5 31 21 41 R; 164 R + N; 48 5 31 23 51 R; 164 R + N: 44 ' . . l 5 31 ~ ~~ 4 L--R. .1 C; I .R+N: 48 . ._.~..~... .._..._..,._ -R + N.' 44 1=1 5 32 20 51 H: 54 14 + N: 44 32 22 4~ ~Fj'' 34 R + N: 48 164- 4, -44 õ_..
+N; 46 15 32 26 41 R;164 C) ~3 21 51 R; 16~ A + N; 44-~~~ 24 51 R:1 64 hJ: 44 5 33 27 41 R, 1 64 N: 48 34 R,: 164 L,L 5_ti.t :-j R 16 4 , ~,a: lt.~~
"E~-' 164 H ~ ';. 48 tr-' 34 26 i R: 164 Fs {W ~14 A, R~~'~. ......... .__ R !+J -1~_ ......
= 5 35 % -! w 51 I-t 1 ~~l '~ l N; 1, ~5 ';a 4 R 1Gil Fi+N; 48 1 6 i~r rr z 51 ri: 164 " KLA4 Fe; 1 64 N; 44 =1-5 36 22 4 R; 164 , + PJ ; 48 1~?1 +N: 44 ~ 3 t' R
. W.
.
......... X ~~I~ 48.
~ 5 1 20 51 k; 164 ~44 r== 5 37 23 41 R 1 64 + tSl. 48 _;i 37 1 t . 1 E" A N .I .-a 17 L,' 41 H: 164 +W 4~, = . 7 20 30 71 R: 168 + N: 56 .R:J 7 20 33 6 1- B: 1 6 A - R-+ N' 4D
,i= f 7 20 33 71 R; 7 64 + W 56 = ? 20 34 6 R; 168 + N; 48 = 7 20 &5 61 R; 164 + N: 46 r=- 7 20 37 71 R; 1 G8 + Pd: 56 1--1 7~1 _71 168 R...+N, 576 ~' 6 I~ 7 r,"'t + N;
~ ......., mm 7 21 :.~~ ~ n 164 + N; 516 7 21 33 6 R: 1 68 R + N; 48 _7 ~ 14_ 6~ ~
'.~ .~, 7 21 35 61 R; 1 68 ~~ t~1 35 ; R; 164 11 {,!: ~~
~ 7 71M...71F-t 163 ~d j: 4,b 113.:1 61 R; 1 64 IV: 48 2' 37 7 Fl, 164 F; +N: 56 ~--' ~~ 3,5 a 1-t; 1 k:d 1= 7 22 36 ;-, R: 168 FI + N: 48 . N
-~ .. .~... ... 1 t 1 t i + N: 48 R; 1t l +Ptl; 48 7 P. 3 30 71 Fl; 1 64 ''i + N, 56 , 7 23 I k'~~ R:...1~ o r~= '~r _...... .._~
f ~~ 34 7l {i 1 043 R + ti; 56 7 23 36 61 R 1c~4 R+ N: 48 7 (ti _a ~
- 1 23 37 7 R. k R+N; 56 ~E 72'30 6 R, "I 6d R N: 48 ~.1 72 4-3o 7 Ffi 1t~~ R=_t~:
G,- -31~]~ 1 E=31 1 E~- t+~' Ap, Filj 33 7 R-, 168 1 :ifa 34 7 R 163 t~1 R T 56 f i ? 24_36 6 R 1 F, 3 lf" T 48 ~I-j 7 -~'- ~i~ri 164 1 ', lp i-= ~' ~' ~~'1b'1 IA+ ;+a; 50 , L~j i r=30 61 Flt 164 R. + N; 48 6 Ft: 1 t;8 R+ N;
,.,,w ,,~.~...
K_' F+; 168 ht r_tl';_ 56 515 7 F1: 1 63 Ft "~~ 66 7 ; t. 61 . r+: I~~
t~ -j ,-'j~' v 6 168 '!l ~ tv; 48 31 7 R 1 t.3 Ft +NI'56 , [ 1 N:
~ 1.. R 1 ~:~
2h ~~
~ N
1=~ !2 E's 33 6 F~~ 164 4 r j',E 4;
1-' L r 6-34 6 Ffi; 168 11 ''i: 48 E I 7 P E: 5 & . ~ ~~ : 1 '"i F? Ã 'l: 48 1 ~ 5 7 ~i, ~! i'} +i ~t3 1 36 ~' Fl: 1~;3 I~ t~d; 56 R; 'i i7 8 R + ~ ~C', rPi- ~:
zJ 6 i- ,a I 1' N;
l-' 7 27 33 7 t: 1,:.4 Ff It': 56 7 27 34 r,4 Ffi F KI 48 ~
~2-2La L R 1 E~~_~~ R N t ~.~..~.___.....~_....~ ~ ~. ~
7 2 r' J7 T Fi: 1138 I1+ N; 56 7L I 1 fl + N: 56 ~
ao 23 61 R: 1 c-,1 _H+W_ 48 ' 3 t~ 23 71 R 164 Ft + N: 56 a 3f~ -9A__@ 1F I~ Al~
-~, ~
l l }F l24 71 R 164 [ a' 30 25 61 R: 164 R -~ '8 ' E- ' ai;.3 2 7 71 ka8 R~- N: 5e it t 7 ''i 'a1 7 ~" rs"~ R -z N:
h~4 2z 61 i 1 A F{ ~ !1: ~.$
7 1 22 7 R.: ,64 R + N; 56 7 31 2~ 6 R: 1~~ Fl ~~: ~F3 h7~~~~ P + N 48 h== 7 31 25 61 8 . + N= 48 h= 7 31 25 71 R: 116 F + W 56 ht=- 7 ~'i 1 7 +
~N h h=: 7 6 ~._...-.~ Wr 48 h= ;f ~1 I:~ ~~. r = + t~ : 48 h T[ 7a. 1 71 ~~ 56 h=' ~ 22 ?' fa~i.. .... ~.~
~ ....
h= 7 22 25 71 . 1 i;ft f J~ 56 h-[ ;? , ?&.. 5 7 + N- 218 h== t 32 26 71 # P+ N: 6aJ
h= : 7 32 27 6 1 rG4 Ei, + N. 48 f 'r.,.-L 7 3' (31, ~ 1i'A R + N:
h== 7 33 20 ? a; = a R + W. 56 h==f 7 33 21 ~ 1x 163 ;, +Nm~ 48 +
h i~: 71 14316 k+N: 5p h== [ 7 33 26 61 1 &1 F? + Na 48 f7-[ 7 ?L,a? ' N~ t,R
h= t ~,i J 164 R + W ~a,Po h= : 7 34 21 ia ::63 R + IV: 48 h ~ ~ ~~~~ ~~~ f", 4 h [ 7 34 21 6 itiel R + W. 48 h=f 7 34 23 71 168 R + N. 56 _L.a4 Z4 t h 7 3 ~ k :~6 6 ~~ ; 1 68 R + N. 48 h==- 7 34 2T 61 1.1164 F; + Nn 48 h ~~7__U ?7u?]R + N
h-= = ! 5 1 ) v ~ " $ i f hJ 48 h= 7 35 103 F;' +N" 48 ~i 7 ~
f~ PJ= -,, , f 1 f i ~;'s r3 ~ N ~ Nm 56 h=' 25 71 R+ N: 56 h= ' 26 Nr 5 ~i h== 1 35 27 61 V~ I,-,':. R + f+;l" 48 ~~ 7 h== ~ ''6 ;~2 6 t uB R + N". 48 h-~ 22 7 ; . 34 f=? + N 56 #" R
h= I N . 48 h-[ 7 36 25 61 , a R + N: 48 71 n !' ~11 M
h=,j '71- 168 H -;- W 56 1 68 F+ fWm 56 h- t~'~:? d~07 1~+ N. 48 F1== 7 3;' 23 7 16 t, Ea + Nm 56 ~7 ' a ~ ~f=~ R +N=

h=_ r' ',>f 24 .1] R 164 1::", ! N= 5'o h== 7 ;~ -~' 25 C; R: 1 68 R + N: 48 hr7 7~? 7 R: 1 ~3?1 R+ hJ: 5 _ h 14 20 24 14 ~ 64 Rt,N= 44 h--[ 14 20 26 15 H 164 R + N: 48 hw 14 20 30 141 Rm 1 64 R+N: 44 ~+ N1 =1-9 h1-i 14 21 2.5 141 R; i61 R:, W. 44 h-iY 14 21 27 151 R. ki~) 4 '< R+N 48 ~ 3 ( } 1 ~~~ + ~ ~~ ~~:~~N , ~ 1 h'=- 14 21 32 151 1=d: 1 Fi'f P + W 18 h[14 22 2:4 15 R: 164 R+ N; 43 tr-[JA ~" 1 F;: F:~ # +N% '44 h - 14 22 31 151 R1 6:1 R-f N: ~18 h= 14 22 32 141 R: (6,:1. R + hJ: 44 h: 14 3 25 1 ' R>1 4 R+~u ~.m.
h= . 1 4 2327 1 4 R: 1 64 R+ f~~ 44_ h = 14 23 3t~ 1 ~ Rr- 164 R + W 48 I 14 2 3 33 141 R: 164 R+ N. 44 1 - , t . .V s 1 ~ ~ ~ (334 .,.N.:
1 2<' 22 '5 H a 1 F3;1 IV: 48 h- 14 24 34 14 R kj4 + W 44 h14 25 27 'f 4 1 61 N: f1 1 h=f 'I 4 2 5 2::1 .~r : 64 N; 4~
z-Ll464 4A
~~5 & 15 1 t;<j w N; 4$
hf p ~~ 26 20 1 5 f~J~18 ~lml-4 P.1 1 r4+!' 1~~
r h=~~
11 =- 14 26 36 14 h' I&I R + N; 44 h'=-I 1'1 ~7._~1 ._1'Fo: 1 64 R+ fa1; 48 41- - 0-4 R + NL4 4 hM; 1 ~ 21 3'1 151 RF 1 64 P + N : ~1III
h= 14 ~ 72~7 1 4 R:1 64 R + N: 44 +1 ~~ P LN 1 1 &i-1 h= ~1e ,aL '~;~
~ 15 164 R+ N; ~75 h= 14 ~~ 34 14 R: 164 R-w N 4 1 r + hJ 4'P
h=i 14 31 21 141 F3; 164= R + N: 4 h=f 14 31 2:2 1:51 R:164 64 R+ N: 48 t--L14j1',3 r)141 :11 R+ N. 4 ~ ~.
h= 14 31 37 1 b R- 164 R+ W 48 h- 14 3:2 21 15 R; 1,3"1 R + fU: 48 h ,Li '~p -14 R 1 (3 4 B -hW 44_.....
R + N- 48-h= 14 32 A 141 R., 164 B 44 h. 14 33 20 151 Rn 164 R+ N. 48 lh=[ 1 4 33 23 ... f = 44 .

~. . .~.m., ,., ,..w,~.
I } W 48 =l 14 33 37 141 f;, 1.64 f~ + N; 44 t= 14 34 24 14 F, 14 ~R + N : 44 +
7- 14 34 -3 0 14 ~ .1 õ - b.4~ N; 44 ,= 14 34 32 15] R; 9 G4 N. 48 s sr ~AL- r9 i64 R t PJ;
Tltl 11 r f, j ~ 11 N: 48 35 31 141 ft; 164 Iiq + hJ: 44 -~ 1 4 :15 3~.t 51 Ft: 9 64 (~ ~- t~l ~8 = 4 3~.b..' R; ~+3A (? hl' 4P
1=[ 14 86 16, ' 1 Ft; I Ft ii: 14 = 14 36 >FJ 15 R } R pa 4 r,.
I~JJA 1:_4]~ k1= -14 14 37 24 15 H.I. N : 46 ~a.
= 14 37 27 141 R: 164 14 + N. 44 1 ri]~ Ft -t- PJ: 48 :..
......... ~.....
r= : 520 25 I J F~: 1 i3i R + N: 48 i- 15 20 27 '115 Ft: 164 + tJ: 44 Fi : 1 #i r t {,1 48 Ft. 4 t,1 J,j~
~' 1? 20 32 1 'Y V ~,;,-i; ........ {Il+rtY4.1 2d 2Y1 4ti ('$ i':'=' Pel:
'~.' 4;j L 1~i F~, I i:i4 ~F# W 44 411, = 15 22 30 1 51 R: M4 214 - 15 22 03 141 Fi:, 164 f I ':
r2~ ~ ~.- I #i4 r 44 ~E~ ,_~,'~~._,,,,,,,,,,,,,,, I,' ~ 1 ~ !-:: 1 c~ 4 R ~J ; ~ ~1 ~2 1 ~4 R; 1 ~;4 R. ~- Pd; 4t3 1 ..~.. N,~.v,u~
'~ "t ~5 1~,4R' + ~I~ A~I
'---' d] f~: ;64 Ffi ~- hl; ~18 r' ~J
E~..~i .
't;;' +~ f,: i'J; 4Ã~
c ~ ~ R; : A fi + N; 44 =1525 n" 14 R: I t R+W 48 ._ . n r , 7 N"i.l_ ~1,!
~~~,~
15 ev-~ k1 ' 51 H a :N f~ " N; ~ ~
t1= J 526 23 14 R: 1 Ci 4 R; + hJ= 48 ~5~ 'r; ~4 fa: 1f34 7 . J' 44 t 37 141 l: 164 1 1 15 L7 20 151 . ri: 164 iffi g'J: 44 f 75 27 22 14 Fk: 164 ~f~f ~Js 48 ~~ S~~ :~ 6 4 _.. ..~.m ~_ ...,._ h [ 1 5 ~, ,~: 1 _ . 1, R 164 RtN; 48 h= 15 11F, ;' 1 14 R:164 R+ N. 48 1El' R; 14 R+N: 44 _ _........., ..
II'._..:164 h= 16 d O 31 7 5 Ft: 164 R+ N: 1,1 h -~ 15 :31 ~{1 141 F1: 1 134 R + N <113 ~~ ~ a. 1 f: A ~ _nLj 4 h- 15 11 44 141 hi: 16.1 R+ N~ rl'i h- 15 i6 151 Ft'.._1 64 F'.a + N 1it._...
r t. 1f4 __[I- 4 NJ 44 h= 15 12 23 141 H: 164 R+ N: 118:
h=[ 15 32 35 151 R: 1 64 R+ N. 44 - 1 ~l~i ~ -. K. _ R,..~'~1 ~ _-~-~
h= 15 33 21 151 R.- 164 R-t N. 44 h=1 15 33 22 141 R: 164 R+N: 48 h:~~..,T;M:34 1~ FV~ 4 _+ t N
h= 15_...11 36 14 ~ P 1 k34 R+ ~: 48 h- 15 :;:11 25 1 41 R: 1 4 R+ N. 48 h 5 . 3 k 26 1 a- R:164 R-+- N44 h=-~j_1 ~ '34 11'm. 14' p' i p + N- 4 P
h'== I.~ f'1 .-~6 151 1FT: t} R! N; 411 ~..."'~'"' h~=f 15 3~ 24141 I3.: 1 1 R+N: 443 I,=-r 1r)3,5 P7 1~751- ,'R' 1 f-4 ~ R+ 44 1i 1 15 34i 14- F{.: 161 R+ W 18 h= 15 35 3 ; 15 I~; "I 6~l 44 I~-f 1~: 4 1s] (t;. f1 i N 44 ~_.....
_ n.
h-- 16 S! ;, 14 P: 1 64 P, ! f J ..........
h=Ll 5 3, 31 151 R; 164 R+N= 44 ;:~s ~3~ 10R: 14 N 4 25 15 R: 164 R t W...~. f11.....
h== 15 1 2.6 71 54 R; 1 64 R + (+1; '1 tl R; 164 R-t- N; 4.4 1 5._ 3 :~. Fr-'A R ~.N-h= 1 7 20 24 18 R; 164 R+ N:
h= 1 7 20 24 171 ~: 16~1 R~- N: 56 .~~ ~ 68- Rj.* ~I ,1 q1 h= 17 20 27 171 !-i; 1 f' "3 R + N. 5~
h4 17 2 0 30 171 R: 168 R + N: 5 161 = 7 ',x j ? ~ ~ 1 rr~~' r ry~
h=[ 17 2 U 11, 161 R 7r_i k N- 40"
h= 17 2f) 33 17.1 R I1 R +N 56 N ~t8 .~.~
1 ,r 21 2: 1 #.~ f 1 04 R + N; 48 ___ h= 17 21 25 '1 ~ Ft: 1~; R + N. 56 1? Pf RQ 17pe1 CIIA R+ N; r k9 ti 17 ~1 71_ 1~ I!.M1ki-R '+.N
11- 17 21; ~32 161 Fi:.168 R a= N. 48 h= 17 21 32 17 R: 1 ka4 R+ N: 5u 7 133_ 1C?~R 1~~k C I l =
~ 8 ~2 i t (m 'f t~ + 1~ ~~
~
~-4.. --22 26 161 i f_; >; t N; 48 f' 22 26 171 FL 6 4 + N; 56 ,: [ 1 r 7 F' , , ka 14 + N m ._ - - - --- ~----:
6 ~s= J64 -T
KK1 (.( 22 31 16 H k k 22 31 1 7= Fl; 164 R j- N 56 A " .~_ ..............

23 24 171 R: 1 68 23 26 161 R:168 i ;3 :4 r" 23 2;' 17R= U, H 5ti 17 23 30 -16 R4 i6g R~C 48 17 4 IR + ?J. 5 r ;'i_= l;' 23 31 1!61 R:164 48 17 23 33 171 R: 168 3+ N: 56 3 ~
= l .i' 24 20 1 f),l R +
~- k I~4 29 161 f 2.: 16 3 3+N; 48 ~-I-'~ +N' I 4 M ! t_ 3 F~ + N; :~u ~~=1 24 36 11 Fi el + N: 4;_s ',~7 ~Iti ~' N 48 esi-- ir U IaJ. k'i, 'k68 -.:iV: ~+.<e f l i B R> + N; 48 1 7_2r 77 164 =f 17 25 er= I , P. if-, 31 + N; 56 k-r 2E, ~~- 171 R' k6 a + N: 56 ~
W f7 n 4; 7 i} 3 +
.--.....~.,. a ...............-........ .......r.u..~..........~.~...sx~
E;-1! t r 1 ''hJ
~ '- T 16 f 11=~~~ R~ N; 4Ã3 ~ 17 1f1 ~ > + ~:~..~.,.
e!d 2 '~ 1.6 N; 48.~
17 26 22 171 Ei.'164 + 14, 56 lt j t t "i I' # ~ !a~' [ t fr ~ 64 161 hs 1 ,, ~ t i', 40 ~
t 17 26 3 , 5 16 F6.~ 168~.._.~ ; h~.
17 26 ~: 1.
C 17 ~~ 36 171 R; 168 + 6,,) .
17 27 20 171 7 P; 1 oq + N; 56 ,--. L.17_ 27 ~-J~1 ........- -- ~ +
-., ~. 7 k~L
k5 L 4~~
P t 1 !' '1 7 F; 164 N; 5~.i ~_!' ~l_i'._~ ~.'._ 1 a~~B 1,! "8 IT=[7 ' 1.,7] ri _~ ~_.::-.-N; 48 = 17 27 37 171 R'168 kI +:h9, 56 1' 30 20 ..... !.? N:

-i 17 ~.....,q4 h- ~ 17 30 23 ~I; 48 - ) i -f= N 56 11 30 23 1~~ ~, :.. 17 30 34 161 liki1 t R+ JSI 48 11 [ 17 30 35 1 6L P + N: 48 17 30 37 171 Bi -:3 + N: 5C
17i.
~i 17 31 22 3 b ~ ?J 4 ti 17 31 2,2 97,G 4 .~ + N rl:;
: r' ~;3 1 E"~.. ~ . .~._. a { -, , - ~1 ,_ ~ 1 1Ea~ ~ ~fs6 11 + N
F3.le.-I P +N 4:_' fi 171..
1.~~~~ A t N: 56 1?' 32 20 16't 1E4 .9 +N: 48 1732.., 2.1 16 _ 403 q + N, 4 , t I i !2 21 ~ 11 32 22 77ra +56 17 32 35 171 a 63 fl +N:513 1 1-7 Lj, 7~ 4 + I ;" 32 36 171 ; 164 's + 56 -' 17 32 37 " G R iC3 P + tV; 48 .1_7 r~
~+CJ: 56 17 33 27 '61 ~ '4 19 + N; 48 ~ 1 9 34 17 = 1W p +N ~.e b i~, ---"s P, + CW: 4 Ll ; 7 1 C T9 if 4 -q + N 42 ~
L
h 1 I _3~ ~~ ~~ 3 t :_S 0 +N:r-6 ~
-17 ,a 4 2 5 161 : 1 64 + N: 4~3 48 ~
1! iT 17a;;'tc A R +N: 56 17 34 30 161 v ~r $1 + N, 43 MLtZ__q4 . "I" 8Y = Jl"~i =:' 17 34 31 16 a-i; t + N: 48 -f 17 _A 33 171 1C: _, B + C4J: ~6 17 47 MT 11, -F- Nd 3 171 164 + N: S4:
?+N: 48 1 r _3,5 a I 161 + N: 48 31 17 1 R: iu. B + W 56 ~ 17T . ~ .
c-' 1 1t . + N; 48 17 36 ?5 1~' 9 + N. 48 ~-~~ ~, ...~, = 1 ~ ~~ 1 64 W; 56 ,:=f 17 36 26 171 R; 1 68 N: 56 17 36 31 i7' Fl: 1 68 Fl r N: 56 17 36 3~ 1 P; 1 64 N; 5,6 17 36 33 L61 R; 168 ii + N; 48 - 17 37 24 R: 1 64 =! N -. 56 17 37 25 16 R; 1 64 ~ 1 + N , 48 ~ 17 37 27 17 168 4+N, 56 ..:_I 1 Z......R QkJ21.. ~ -i- _~ 5.6.......
1 ; 37 32 16 R; 1 68 H =a N; 48 17 3, 7 33 161 R; 1 64 R + N. 48 9 1 7 !5 R + 20 2 25 1 0! B: 164 +N;rn 14 20 2 25 151 R:164 + N< 44 7~t rI) 227 1~ R 164 ~..W 44 !.. . ~ 217, 1 . . . R _,i. k:,} !? +
2~~~ "~~. :~~11 15 : F1~; 1 C.i1 .,d; 44 -''20 23.:~ 14 R; 1 64 N; 44 +
.. a 6 u 111 R; 1 64 RH v 1~1; 44 ~----.
3 24 131 f~; 1 64 i t ~1; 56 V~~
R . , . .m...F, ~ 1 1 6~3 + ~1. 4~
.
' 2_......4171 R1E H L"
25 16] H; 164 43 20 ;3 26 121 R; 164 F1+N; 4 I~, .._ = 71_. M 1 64 ri + N: 56 i .._2.0 ii ! P [' :3 30 -!?]. f~ _tr)4 +W ;Ej ..;
? 2 1Ã,]. I+ z3 +N: 48 )-_j ~ ~1 J 3,:3 161 R; 1 G-4 ; i + N, 48 20 33 33 17 f~ 1 68 R+ N, 56 ? j 4 131 R; 1 68 N; 5,,6 35 12' R:168 R+ 1bJ; 48 ?J7 3(- 1 F; F, N r) i+J 24 10 k: 1 ! 44 i~Et 2u 10 26 11 R; 1 64 W 48 = !' 20 10 34 1 Q R; 1 64 R + N; 44 ~J7 _I 11 ~ii h 1 21 'R i I~: 161 ~"I; 48 = 2:0 1 1 26 1 1 . R: 1 64 A + N: 44 1 ~ ~ QL...~_ rQ , ' + ~N' A -1 1 37 1 l R: 1 6?i ! ; 44 20 13 24 13 R; 168 4 -a N; 56 !~ 1 ~~i '~2 F{; 1 68 + ~1; ~1-~
!~ 13 27 12J R 164 + N 48 h ~.._~,.~ pI
I ~~ ' 7 : ~," ,~. ..,....~...... .. ~' 1964 .n...... .. ., t I'Y ~J
4J:.........., .. .
~ I~ i. 34 12 R: 1~k3 R I N; 48 h r 1 3 34 131 R: I &> R -r Nx 56 f) I; 13 3 5121 ,,,,.,,,,,,,R.._ i 4 R+ C I_ tf%_ 1 37_~_~
h-4 2L: 14 24 141 Ra 1611 R+ W 44 h- L 20 14 2 7 1J 5: R: 164 R+N< 48 h= 1,2Q) 11.4 = ' .. . R tN= 4 ' h== 2,0 14 32 15 R: 1. 64 R+W 48 h==f 20 1 a 25 141 F 164 R+ hl: 48 - w:
h i~?' 1 a] r 1 1 h L = : 20 1 5 31 141 H= 1 64 R +N: 48 h-zf 20 15 ~3 15 R: 164 R+ N: 44 ~~~ ~p j, I ~.' e h-- 20 17 6 Rn 1 64 R w N: 48 h=[ 20 17 27 16 R: 1! 68 R+ N: 48 h 17 hj= >> ; 17 30 161 R: 1 64 R=fx N= 48 ~f 7 34~ 17 Ra 1!6 1 R+~1: 56 1~,, a I 1 ~:l R+ f~= 4a h- a' = " ~ ~o;_ ;' F~: 1 ~a~ R + N= 56 11=:.~._L;0mm 2r 1,31 r"; 6:~ H + N; 44 R: 1 64 R + N: 44 _ __.
h= [ 2t3 RL-1 64 R + N. 44 h-: ~Q 22 ;33 41 R'. 1..64 R+N; 44 h- -t i 2.2. 35 51 R: 164 R+Nx 44 3.5--10 R 7 C34, R t N= 44 hv ~~ 3.74R. ( t311R+N: 44 h,.: 20 22 37 I1 R: 164 R -r hix 44 h=F 91. 94 191 R' 164 I _= 48 23 R+ W ~#i, h~~ 16aR+W 48 h=.",l r. + R + N
1 tj c - N. ~ . ~
h= 20 ?.=~ 32 61 R 163 R+ N, 18 3 G] R: 'i 0 4 48 h~ 23 33 / H 1 66 R =tx N 5 6 23 34 6 R. '4 63 R+N ,18 T 7 R 1O Fry I P; sa ~ _~..
h-L~lo 23 34 131 R-164 fT', f N = I-A
t7=[ 2023 35-O1 R: l,ta4 H + N: 48 I~ =1 .20 ;' 36 12 R 1 64 R + N= 48 .. .. _ ...- ~~.,,,~.
h=~ ~i{ 23 R, 7 F, 1~ B hJ= 5 ~'~
17-;i ;?C: 23 3l 12 i;: 164 R+ N. 48 I ~ . T r'[ 2 1...._'37 13 F; mmi_~,t?. R+ N. 56 h-1 4~ R. 1 FA
.. I"~ ~ . ,. ..
2 0 -2' 5 R. 1611 R + N; 48 h-t 20 24 34 41 R,' 'f 64 R+N: 44 L .7 -5 = " R+ :

..: ~.J 25 Al R1 64 = 20 25 1813 51 R: 164 .A 20 25 35 41 R=164 N 3 R' 164 N: 44 j2 2'1 30 61 0?~a N= 48 21 30 ? - Fi : 164 + 'hl; 56 f 20 27 31 61 R i u3 48 ._..._._._ :7 34 :i !; ht. 56 L,-t 27 36 61 , 164 + K' 4 27 37 61 ri cis 20 30 24 14 k;; 16Fe ~ 1 ' -1 = 20 30 27 111 F#: 1 64 + N
q R ~4 _ -~ 61 44 t~
.k 1 2111 101 H : 164 R ,,:N; 48 20 31 27 11 R 164 + N; 44 E 1 + h~'48 - R _~: ~~r>
A 33 24 12F~ l(~ E?
20 33 24 131 Fi t 64 - t'ti56 ~~
N
__ -IZL-, 33 271 3 lY, -"--------~- ..
20 33 34 18 f;A r4 56 44 20 33 3,6 121 R~ { GB N; 48 R fl, = 6, .( 13 Ha 16. 21 2 24 10' f; '6=1 t i~~~; 44 21 2 21 151 R: 1,64 ~ + N. 44 tL 2 :c.b 141 I ; ai: .1 N ; 44 21 231 151 R: 164 + i,': 44 1 n R r~
4711 Fi N =d '=., 3 24 161 Ra 34 - N: =18 n tQ~d ~,~
16 f a,a . _ 21 ;3 25 h 71 R; 168 ..-~._~ N bc"
21 3 26 121 F;: 163 4 8 - -' ---~' Jk 6.........
= ~1 ~E ~j ~
21 .~ 21 12 F4a 16," Pk .~~
21 3 3 t 1 7 R- 164 t'k C) t'ti 21 3 32 1 7: 1~. C i' ;tl:
21 3 33 16' h tH~ + N, 48 21 3 34 1 ~ l~ 63 9+:N~ 4=8 f" L2." 335 Ffi F. 3 R+N: 48 y : w {y 2 , 36 1 j~_.. ! : I t R+N= 56 ~ ..
21, 10 25 10 R: 164 R + N: 44 27 11 R; ir=:4 Ft + N: 48 1 n .;t5 1QL 1 I'I ~-,..~ ~ ,~~ ,,~
1 ii 36 11 l i, : F~ ~48 1.f ~1 11 25 10. R: E4 R + N: 4~3 f~zL~e 11 27 111 I$a 164 R: + N: 44 tf- j, 1,. fi, -4- R~~
11_ ~ 11 36 11 JJ 1 64 44 13 25 13 f,; 1 c',:3 R+ N: 56 13 26 1.2. 1 fi. 1 t=;,4 R + N: 48 1 t;4 rp ~9 1-1 211L.712 6 6,8 ~ hl 8 ti '2 ; 1 j 34 121 ~ 164 R +',!: 48 [, 13 35 121 ~ 168 R+ N: 48 M a_f 1. 36 131 R; 168 56 IL 1 14 25 14 R; 164 R *N: 44 14 26 151 . Ff: 164 Ft + N: 48 J4~~ ~4 1-- 151 R,: 16 # R + N: 48 !~ h a2 1 141 h. 164 R + N: 48 i-~ :1 15 27 I, 164 fR + N: 44 1 rl~ 41- F, , +
1 r: i2 151 ti:164 R+ N: 44 17 25 171 JR: 168 R + N: 56 f~ ~1 17 2~a 1t.' E, 168 Ft+W 48 17 ?w 171 I ~1 ~4 ~NN
R + N: 43 f f_ ..[ "! 31 1 t~ 1,74 ti 48 ;31 17, Lj , 7 r ,i2 56 f~ 21 22 24 12 R R+ 48 22 ~'j 1.2 F 4 Ft + N: 48 R: 5) 6 22' 71 S34 R + N: 56 21 22 32 61 R; 4 R + 14 f-+ 21 22 33 O' S rW 21 22 34 61 ; Ft; 4 R ~ h;. 31 ~.m 21 22 5 61,Ffi 1~~ .8 R 18 ?~ (1 1 t: 3 T t t f~21 122 131 i}i: 1 t" 1 h N; 5i:;
21 22 j r Pi.'l i 1 R r',. 56 tN: 48 ~1, 22 3Ki 1õ ~] fs i ai4~........ h~ a 1:2F;. +N. 46 ~- ~

21 23 24 1 01 ~ 16 J~. IR, + N: 44 2 4C~a .64 R + N; 44 L) 7 3 .;6 4 H 164 N 1 21 23 36 i 1 1 R: 164 t ~~~ 44 Ry 164 NP 8 i 1~k3 rr_ 44 .~.._.~._ , .. .
24 314 4 R: 164 N; 48 F--29 24 37 51 R. 164 + N: 44 R 1ki4' + N
c Y33 5 R- 164 N 48 25 35 4 R; 164 + N. 44 =1 '' 25 36 C, I R: 164 -i + N; 48 1 s~~~
4:] ,.'~ .._ ~-?..~! R_ 1 ~4' N= a 21 26 31 R: ::64 N: 56 _.__...= fi s'~~ ,r,i_ 21 26 36 61 tl: 4 8 21 26 36 T. Ra 1~~~~ N: 56 Lf,"I Ki? s~{d ?~
~
- 0e~ 25 t~~ + h~ 48 .- 30 26 11H ~ 64 I + N, 44 ( 21 30 35 101 R 164 + N; 48 L_~_~ 10 '~7 1 a ~~ f R~+ N" 114 21 31 A 11 34. f, 18 21 31 1 0 Fta : A + NF - 4 'L91 31 3?1~,~ ~
21 32 24 12 ~ h";: C' R + N; 48 {-'=
= 21 32 25 12 R; 168 fl+
, -~ -' L r~ F?", 164 + N-, v,r F"i ci 32 35 '1 a fi. + N, 56 - 21 32 36 12 164 +,N: 48 ~ 3c,;~~, .~. ~, t;
~ ~ ' aar 12 ~' ~~
11 ! 16 4 + N: 44 2 29 141 R' it;4 69 + N; 44 _y_ = 22 2 31 141 ~,' 164 R + N, 44 ~ 2 32 151 + ~: ~~1 .
22 ~ 11 ~- t~: ~~

,. _.,.,.:. ..... = .. , .,~ ~.~. .~_... ... . ~=,,uw .... . ..... . ..
h 22 237 10 R= 1~
h= 22 ~ 24 1P f~:.164 Fi +N; j Ir- . 22 3 25 121 Ra 168 R + N a 48 ht ffi 22- 3 25 131 R 109 P, + .~'i 6 h-w 2 2 J 25 1 6,L,,,,...~ ~, R * ,N= 56 h= [ 22 3 26 13 R~ 16f'< R +N9 56 hA 22 3 26 161 R. 168 F3 + Ns 48 h ? C) 17 R i63 Fl -+-_ r ~. ..
--=_~2 ~'~1 ~ v . ~~4- +~
~
h== 22 ::3 30 ~ 16 R I 6kl R+ N. 48 h= f 22 3 31 16 R:. 't 64 R + N: 48 hf '' p ; 17 F3: 168 R + hJ 56 h--r 1~9 17] ('r: tr) 4 R + hJ' h== L 2 1 j H: 1 ra 4 H I N: 56 h- 22 3 36 12 Ra 164 R + hl: 48 h ?2 3 3613 R: 168 R + N: 56 h'_r 9' I,_a7 ~ ~r,N _-4~~
i 24 i1l Ro 164 R xt N; 4,,1 17 22 10 26 101 R: 164 R +Ns44 22 10 35 11 R: 164 R+ hl 48 1 04 Fi + N 44 h 2.2 11 24 1 i H : 164 R.f, N: 44 h 22 17 26 1o R164 P + N. A:3 h-r 2~2 11 5 11 l R 164 R + N: 44 ~fl - -in IR 1,(3 , 4 ~R ~' 4 h'-= ~~ 7 ~1 t 2 f 1: 7 ~i3 ~$ h ~: 48 h= [ 22 13 25 121 R i.&i: R+ h.1; 48 114 22 13 25 .3 R-' 'i 64 R+ hJ: 56 JR: R' 1 ~~ - . ~'3 I I~ 1 ki~ [~ f ta~: i' _ .
Pi J36 1:2 t~a8 ~d -~ hJ; 4:8 h= 93 36 1: = R:16~= R+ N: 5~i .
1 4 I~-~ ~1 ~3 .
r= 22 14 26 14 R: 164 R + N: 4~=<
h ~ - j - 77-14 30i 15 Ro 1!64 R+ Na 48 h : L , 1 ? 1 4 R 16 d R + : 44 _ , - 7~ J t . ~;_ 1t;t h22 15 27 141 Ri 1&1 R + hJA 48 -1 22 1531 15 RL~16~t F3 + W 44 h-L 1 5T1R._i.64._ftJLM__ R + hJ: 48 h-,s A 64.... w + N._ g h i ~.1 ! 2 5 16 07-1 t~~ R+N: 48 hf 17 25 't 7 R9 164 Fl + N. 56 h-I PP 17 26 17 t3:168 Fa + h1 s56 h~r~ ~ I ~_ajj~.~~_ RL a + M ~.-u h= 2 17 32 ~t6 R: 164 P ~~: ~I: 48 h= f 2.2 17 32 17 Ra 1 64 H+ N: 5+5 h= 22 17 33 16 F1'= 168 R + N. 48 h -~ 22 P r:,I 2 4 1 1 i....~... ~ 164 R+N 44.._.
.~.~.~. ~.r ...-I-~~2 R -+, N 44....
=f 2 2 20 .3~ 4,1 164 P -t- N; 44 h-~ 22 20 32 ,I R; 1 64 C + N; 44 11 '95.. w'~1 fi'j (;t P-, ~J-' 4 4 , 'L 12 "!o 35 11 H ; 1 64 P + N; 44 i4 22 20 37 51 R: 1 64 ~=6 + N; 44 hu ' a~ 1 ~;'~ 44 Jh==[ 22 21 25 131 164 Fi + W 56 F- 22 21: 26 121 F: 164 R+N; 4A
hm' 2'2 21; 2613: P.! 1 o F i+N: 1A
h 122 2127 121,,_ ~~..7 ,~''~ - _ _ R + NL.~>~i h-- 22 21 ~O 61 hi;: ad r'J" 4 1 = 2 2 P I_;1 61 R; 1 64 F; 1 PJ 4 8 ....
A r'2 71 k, 1 r>t H +A; 56 h== 2.' M 121 R: 164 R +N: 40 11=f '), :~. r' 16 ~l + :
h=~ t, .................. i_~ 1 rR+N: 48 ~w ;~5 '1'3' f~: 1QI:fi f~ + N.: 56 h-~ 2 6 61 F~ 168 F'3 +W 48 r f'1.
h= ~~ 1 4 1C4 p +N, ~;.
h= .22 21 37 61 F$, 1&l. R+ NW 48 ~.. ~
h-=f 22 25 32 61 H: 1 R + N = 48 h=f 22 25 32 71 R 164 R + W 56 h~ ~ ~ ,-4~.~~ ~_..I, 10'3 + N. 4'~
h= 22 25 64 +
h== 22 2.5 A~ C1 H: 1 rui8 n + N I;;
h-f r:? 25 R; 164 R + N.~r, I, R'j 6q + h H; 1 64 R+W 4w h=' t R, 1~4 R+N. 44 - t 5~...
h-:[ ka 36.. 41 Ii; 1 64 R + W 44 -~~: 22 ; 7 31 a H; 1 64 P + W 44 7 33-,. ~ : 14~4 Fi +: 48 F~_ . _.____~~~
f , 164 R +N: 4A
. . ..~. _ ~,.~ ~. ..
16, R + N; 48 h= ~t. 168 ~# +~I 56 Iti+
h= C-2 1, 1;' k 1 t:i1 Fi N: 56 121 R; 164 R + No 48 ~
1 4 17: H +N; 4 h=~._ 22 31 35 121 ~ I~A R t N= 48 h- 22 31 35 13 11; 164 R + N; 56 hmm 22 31 35 131 R; 168 R + N: 56 + N: 4P

h= 22 32 2 i f R. 16~ R+ N : 44 11=4 22 3:2 34 11 R. 164 R+ Na 48 h=422 32 36 10 R: 164 R+N:44 = A L 4~
...a_~.
h=- 22 33 26 101 Rk 164 P + N: f18 h=f 22 33 34 11l R~ 164 R+N: 44 h~F xP 3 ~ I_Qj_a. f 4 i..
r 2 2 4 11 R= 164 R -1. N: 44 h= 23 2 24 14, R: 1 64 P + N: 44 P 26 10 +R' ~f R+ hl: 44 1~:31 +.~I nA~......_ ._..
~3t~ 14 1 t~,:gR + N:4~4 h- 2:~ 2 33 15 1 t~ r R+ N: 4~}
I i :~,?~ ~ =;S~~ 1 64 + : 4 hi: 164 R t hd: 44 h=--f 23 3 24 121 F 1 (io R+ Nx48 t' ? ! g4 i..6A R + h 1:
h 2 r' 16 ti h=- 3 3 25 121 fr 1 64 P + N< t1 i h= 3 26 16 F 64 R+ N. 48 + hl' h ~ s 3 27 7 ~ ~n 1 68 R+ N. 1, h= 2 3 327 171 RF 168 R+(~ r-j : 164 + N' 48 h=";' ==;.?=3 31 161 R:168 R+Nx Lh h= 23 3 33 17' R: 1 64 R+ N: 6 h- R + N
h= 3 36 19 161 R+f~ 1<., h= .23 3 37 121 R; ! t; 1 R+ fv= 48 h~ "" a ~r 1 31 P R + N .i(, fl..lfi.....
h= 2,1 '1 U 27 101 Fi: 161.1 R+ N. 1,1 23 10 34 11 R: 16 + R+ N: 48 ~..,~.
h-~ 2 _ j ' 1 1 25 11] n, 1 6"1~R -t. N; 44 h=1 2 3 11 27' 1Ã1 R: '1''~:. 64 R+ N; 48 1 3!1 Ill R 1 64 + h1 4 hn~ 11 371, ~ I..._16 '}..... R~ hl I
h= i 1 24 121 R: 1611 H + hJ; 4"
~- _13 24 131 F . 164, R + W 56 h=[ 2' 73 2r 131 R 1.~s R >'~ N. 56 h= 23 13 34 131 R. 168 R+ hl: 56 f~ 1~ 37 12 Fi 168 R+ ~j;...48 h= 23 13 37 13 RW 164 R + fV: 56 h~ 23 14 24 1S R=~ 164 R-r NY 48 h- 2314 2 = 1.64 + = 44 .:.:, ~,,,,,.
2 a 1-~ 3'1 1;~; ~~E~ 1 ti k~ N, 48 V~, _- ._ ,_- 23 14 13 141 El; 154 fi- N; 44 ~'?9 15 Pl~_._iIL_ + N; 44 15~~f -i=,1; 44 :5 31:, 15]1 t''1 23 15 32 141 T 164 R $ i à 48 ~
~'~ 1.7 j 1 68 1 t 17 1 C_; 4 23 17 25 161 ; 1 64 + N; 48 17 27 171 [ 1 _1 7 3Q . ~.~ j,.~,~1.,....,,.,u,n~"
1 / ~,42 16 fd 168 N; 48 =23 17 33 161 Fl; 164 + N; 48 f1'164- px. 1? -k-., 20 24 131 k1 rmm1~ ~_ ~; 56 ~~== 232[1 26 121 H 1t r.y ; h+~; 43 k 71 f t 1,6 4 ............Fi N: 18 LPI
2~

~o ti k1 1 f3/1 . . . { z~
}
t' 56 ?"~ ~~~ r~ 7~~# ht tti L-,lu ........ :
~Q 34 71 1 &' N: 56 I 1 ,_ 1.68 - N i~ .
l ~~~....._~41i 1 t>~1 ... ~, kt t;F;
...................... . ..... . .. ~ ._.
'l-= 23 Pi7 35 92-1 fi; 164 r, ... N , 48 i 23 20 36 G' f i; 164 E 1+ N; 48 if I p 1 P8 20 37 71 ; 1 ~ j R. + N.: 56 '. 23 20 37 13 1164 E + N; 56 N' I 21 26 10L ~1t4 j 23 21 .30 41 1,64 tt 14 23 21 33 '.=>1 164 + N; 44 41 + N 44 21 3: 111 1 t.:l 4 1 a 21 36 E,1 164 f~ t;; 44 1 tp'1 7T r l+. 44 i-I ~ ' 3 24 30 71 1 r_ o ~ a I .
24 32 6 , i 168 ; 4 ,. r' , 48 23 24 33 61 164 3- K: 48 N; 5 (31 -.' 23 24 34 61 P, 168 Ei N; ""8 ,-i 23 24 34 ~!--T 164 Ffi..:f:....tq; 56 i P~4 NP 4Q_ e i 24 3.,' 16$ rIC 56 j c -3 26 SU 164 t N; 4.4 L,?l 26 32 i R 164 1 + N. 48 il' + N: 44 .~.= ~.... ~,~. _ ..~..
h-[ 23 26 36 ~~ _ 1~a+~,= + hl 18 h-~~ 27 31 51 I SG4 F--+ fJ 1t;
i' 164 F, -iN -14 t~ 34 5 .. _..._ . ~..
h= : 23 27 37 41 6 P h.J 14 h=F 23 0 2413L ... 168 R C''J. ';;;
_~~
:-:1 -23-,IQ-ZLJ-2~~ F3 + r+1, 48... ~
h= ZI) ' 30 27 12' 163 1=? + N' 48 h-l 23 30 27 13. a -r 6:a R + rT 56 ~~~
h= t a''3+J 34 13~~~. ; 164 f~ aw N. 56 h=f 2~3 30 35: 12 1- . ~1 68 R-h Nm 48 37 . ~~ ~ . il, -' t _R-t_R~~_ h-C 23 32 24 111 ;; R xi. N: 44 h-L 2"' Z'," 101 V 1 E? +rAJ. 48 R ! = 4 _ ' 1C~~ ri'y R r+-N= 48 h-C 23 ; 24 1 11 1 1 e=:~ R +N. 48 h=f23 33 27 1C 1 õ164 R +Na 44 hit-[ 23 83 P 1 u 1 64 R ~- N~ 44 > 164 R +ftls 44 h=. 24 22': 101 ~~ =~r =a ~5 1 ~ a ~ i - .~ ~ _ . ~ .,~ ~..~~õ~,~
R + N. 44 R + N. 44 ly~[ 4111 + 44 _ ~.~.~.
h- 111 R + N 44 h= :2-i 2 34 151 I; 1 I R + hJA 44 1 f, N: 44 20 131Ii { N: 56 h4 24 320 16 1 i~ R + N: 48 F3 + hJ d56 NLA-8.....
h4 24 3 22 12 t. 1C R -hN. 48 h- 24 3 23 12 19,168 F3 + re]: 48 lea- +=5 h=' 24 3 23 171 : 1 64 R + N; 56 h= 1~ 2:< 3 30 121 . 164 R + Nx 48 h- 1 121 ' 1 6 R + N. 48 h=f 33 13 '1 R + f*lm 56 ~
h ~= 1 ~ 7j_ "F
h=L_a4_ 36 161 F~ + W. 48 h-J======r 21+. 31171T 16 R q- N. 48 h-C 2, 3 7 17 R! 1 CS 7, + IV' 56 24 10 22 11 = 16, 48 h: 1 24 10 30 10J : lu"4 ~+Nw 44 h= =~ 10....... 3 1 = 164. R +.N= 4.0 1 F' 1,~~ A id + 4 64 1 .' 11. f}' 16~ I"-I W 44 24 1 1 10 hl" i 64'E~ + N. 48 1i' R: ft'A ,W .44 w. a _1 ~ f1 ~ta?; rt ara Ali, 0 W24 18 22 1i ] ~ K
24 1 ~a (l 13~w ~;i24_7:7 1 24 13 13 ll-~- 16' 5fd =L24 14 2P i l r; 1,34 N: 44 [ ?4 14 1'' ] 63 4~
~ I_! i> 7 av~__i, ib.. + ~N: 44 ; =L24 14 36 1 5- F'" 54 ; + N: 48 + fii: q&-24 1S41 i:34 2 2 15 : r~: 44 =24 '( ~~ 35 1~1 : a~4 ~ fi~- t~; 48 4 115 7 1' 5 9 . s: - + W 44 ....
= 24 1 7 20 17F ,: 16,8 ." ~ ~~ 5cl 24 17 22 1 1 I ;" '-f;4 + N: 48 ~~ .. 24 17 a 1'' I - M: 4 =j-Z4 I L 23 1T a; hT 56 =[ 24 17 34 16 w i6: + N: 48 14 24 17 34 17 R e14 + N: 56 r:9: 48 = 24 17 37 171 H. :N: 56 - ~ 24 20 30 41 ~I" fi - N; 44 ~_._.~.~.
94~PO 3,~~~ -~ W I i;" N
20 34 4] N: 14.._...w = 24 20 36 51 R + IN; 48 24 21 32 51 P R + N, y~I
_ 24 21 35 4L f ; +N: 48 .
r. ~-, n~: 44 24 ;e3 wi / F 1 IJ;
14 24 2i 3Ll fi 7-164 t.:
, :, P4 -' 1 . , ~~
2~1 23fl33 71 ~i~= ~~;l,.~ 'li t~: 24 23 34 6: f - 164 ~ . ~
1k.-[ P4 Pq 14 7,3 21-& _.......
-~24 :23 3/ / Rn 1i68 + N 56 ~I-IL24 R,164 + N:: 44 _ ~.._ 11J-_ -9 LI~~,.'~-- B-t-N L--4 = 24 26 51 Ha 164 ' +N; 44 24 26 1O F. 164 R + 24 26 33 . 164 ......... {~ ' h;. 44.

2 tj3~ ~ R- 164 f" hf 4 4 h= '~ 2634 ~5 H : i~,'a4 R+ W 44 h-' 24 2G 37 41 R 164 F3 + Na 44 11 :~'r,~ 97 D 't. R' 1634, F'a + R1: 4B
_ _ .~.,.
~ t i ~w~,ri hm, 1 2 1' 2a' 21 121 W 168 H + N; 'l ti W_ 2 ; 27 23 131 R 164 R+NII 56 h'.~ 1w~ ~? 30 6 R; 16~.9 n+ N- 48 1i r'4RZ- 1 6a R+ t'1:~
h'24 27 30 131 l d?3 4 H + Ns 56 h= 24 27 31 61 R: t61 R + N: 48 h=F 24 27 3~!....~ 121 R: 16,4:.. R + N: 48 h'~~a Awl. 7) .,õ{:JO4 R+N -_ :~~,.,..-.~
h 2" 27 33 12 R; 168 H t= N; 4d h- 1 2 7 33 131 EL168 Ft + N: 56 h-" 24 27 34 77 R 1F,( R + N: 56 f1- ( ~i'~ 17 ;i f R + rJ' 4~3 h'" et i 6 Fd: Iij :1 f~+~
Ii !'2a 17 87 71 R: Itu:s R+N. 5~
h r? 34 20 10 R: 164 R + N. 41.
__jR 1,334 ~ C? + t~J. 1.
~ ~ZLJ j 34 30 1:0 F;~ 1C"~1 P r= N= t1 1 li 24 34 32 11 R 164 R+N: 13 h- 2A 35 20 1:0 R 164. R +N: 48 l i .? 15 ?3 '1] R, :1(3 4 R +P,1x 44 _,..~... .õ., m e_e ..
1{1~1; 1,1 R!N: ~., ht- >'~1 35 32 111 E, = l 4H+ Nx ~1I
h= .24 37 20 12 F 168 F3 + N= 48 t-1_24 JZ 1 F'i à P, + hl: ~' ..
h- 2 4 3 7 t:i-# 1+ N= ~18 h~= L2 4 372" 316 m a P + NR 56 h= 174 3~ =õ} 1,31 R 1634 R+ N 56 Nr~; ~ I~ I 'ti k + h1 . k I~ ~~ ~ _ .
r l~~~ E; = 1~14 8 N 48' h- ;~P,,'r RF164 RiN 5u h=f 25 2 20 10 F3: 964 R+N: 44 Yi -L2 ' 2 PO15 R' 1' ! R + N 44 I 1~2 1.:~J ..............:..~~_;_7 pR +~1- 44 h'= L5 2 22 14 F~n I t;1 R r11 h- 25 2 30 101 R; 161 R+ W 4:1 h J;; S 2 1 i R:~ 164 R + N: 44 F? '1i?4 It+hJ' ?14 h= 'I j raa 1('74 Io i' N, 11 h= 26 20 161 R: '1 64 R + N 48 21 131 R 1Q 34 R+N' 56 h 1Plj R, 13 F39 Bu+X 4~ ~~---R: 1 ()"tr ~ + W. 56 h=' 25 15=2 12 Rr 1 68 R + N: 48 h 2 3 22 13] R: 1 68 R+ W 56 ............ ._. .
h= 25 3 22 17 _ 13 _I 4 R,f .._N',~~h= 25 3 23 121 R 161 H + N. 13 L;. L~j 3 39 1 2 E;; .1,3k?R-i- hl: 42 9_21 J2L_ e : 1 6 1 + hJ 1;, h'.~: 25 3 31 13 H i 1 tJ E lk R'i N - ~ CI
h- .25 332 131 R 164 R + N. 56 3:3~ 171R -164_ R +N:
-, ~ a 7 , q ~ : ~ R: 10,4 NJ 1- ~.
h= ~~ 3 3 Q 171 H: 1 s}R R t W 5,6 h= 25 3 37 161 R. 161 11 R + hJ
, 11 1 61 R_ + K 44.._ ~~ aPo 1~. '' ?.. ~ 1 ] ~ ~ l,talt mm C i N: ,}s~l hr= 25 10 31 10 R, 164 R + f4a 41 h= 25 10 32 11 R. 164- R+ h1; 48 -- 5 11 ~
~?~_~ ~ ;~ ~ ~ -Ip,all-R~ '164..........~ Ri<<.n A~~nm .. ~
h= '::} 7 11 '; 11 R: 1; ~4 R + fV: 44 1 1ol IH. 764. R -+= N. 48 h, :~ ,., I 1~ @ 1 F~: 164 R+ MI :4~L
C 1 ~ : 1 64 R + N: 48 13 R: 164, R+ f''a: 56 -----h 1;3 , _.._iFi 163 . R + N: 18 h F ~', 13 ,3 0 16 4 R +, N: .48 ....
h= 25 _7 _j, 31 121 R 168 p 4, N. el 8 I'r=[ 25 1 a 31 'E 3 Re 164 F+ N: 56 ---~ ) 1'4 jl,' . 13 16f3 N N
h,- 7 4 21 14 F~ = 1R+ N= 44 __.~... _ h= 25 14 22 15. E~~'- 161 P +h1: 48 h=L-26 1~': '~ E 141 R: 1 6+ R + N. 44 ~ .~ 1 . ' =~ ~1 F, 7 P.= tP, 4 p r~= ~
h= 2' 1 5- U 14 H H + N: 48 h== 26 15 23 15 F3: t i, R + N: 44 h~LP.- 15 34 141 F3 16.ct F1 + C~,1- 48 11- . _ ":, 1 :~ 1;; -,.] R' 7 64 r. + w A-'a -~~
h- -1 3 H 6t'a L.,~ '~'~'M ,I, 55 i l h= 25 17 222' f; 168 R+Ne j 8, Ir ~7 17 2 171 f it;.l . (~+N; r x ....~
h1-4- 231_~ i 48 h- , 25 1 7 ~~# 1 ~ R: 168 ~3 i ~I: 48 he~ 17 3 5 16 R: 16 4 R +N: 48 17 3 " 47] R" f 6:1 ~
..n 10?. R ni.- N: 0 6 h~ 25 20 30 4 R: 16e1; P + N: 443 h=- 25 20 33 5 R;. 1 64. R+ hJ; 44 k i 4 F? + 1 ! 4P
h=4 25 20 36 5 h- .25 21 31 4 R. 16 ct R + Nx q 1~
h=: f 2.1,9 21 32 5)] R I6zt f~ + hk1: 48 h- 5 , P 164 TR+N 44 ,~u: ,~,~,,,w>õ ...... ....: . . .. . .. ..
h= 25 21 376 R t W48 h=[ 25 22 31 7l R + N: 56 Pt_ f 25 22 32 61 F 1 r_8 FC +Nr 48 h=L,"5 _a?..,.~~~ R 1 t~4 [1 ~~
22~~;~~ i; 48 h=j ~5 2;~~ ;,4 b1 i~. 1~i~3 h{ { I. .16 h- [ 25 2C, h 6 1._64 F- P_ 48 h 2'; ~:~l 35 7 R" 1GA f~ Rn h=~ li ~ 1 tv~f I,' h= 25 21 h= 25 2i :_' 1 12 .: 1134 R + Ne 48 h.~ 25 ',V I ' ...... ~18 R t W 56 H f $ "..~
h- Z; b4 14 i N; 48 h- 25 26 31 61 ' 68 R+ W 48 h- 25 26 31 7 t: ' r:8 R + N; A
~ + N. hmm 25 26 ~~:. r !~; 1.,..1 k N:
1 1 25 26 32 ri 1 68 1 i KI: 3 h- 25 26 32 131 F'P: -1 t= 8 R+ N: 56 L3~j _? J_ R' /L F K. 48 h--2r t; :i5 7 t; ? I;~ ~ , I+~ ry 5u r 2 L 5 13 36 6 ~ 84 R N ;18 h= 25 26 :16 7 R: 168 R + N: :=~~i3 , ;7 ~~~ 1t,~ 48 h= 2b ry~ C'1.!.'1.....~ . 1 t,4~ Fr N~: 44 h:=f 25 21 Z~ l1 t '164 P fi~14 I fi - 25 27 30 51 ' i a 1 64 R ~ I~ ' I
_.__ ...
f7 Lpr '7' 1 R t N f ~1= ~ 7 õ~~ . 7 t:,} -t h'= 25 r? r32 111 R+ W I
h=f 25'7 35 51 1 164 R + W 44 t,4... + N> 44 .._... ~. .
ae, h 2 a '4 L 2 "111 1 E'4 F"k N . 44 ..F-~ w... .._ -4 R + N. 48 h=- 25 34 31 101 R + W_ 44 ~ + W ~~~3 h== 2 5 31 ; 164 R + N: 44 f =~ A 33 11 164 R t N. :'3 ~.~,.~.?~
~~...~9-12 - C"- UN=. ; ' h- ~-l 5 36 21 121 _ "368 IL+ N: I
f1=125 36 21 131 : 16A 11 + N; 56 P~ -,- 12 5 36 22 131 =168 R 3" W 56.
h- 25 36 32 12 R;164 H + N 48 F7" f 25 36 32 131 :184 IR W 56 h=l 25 36 33 32 ;168 R+ W 48 h--[ ~6 ? ?~f _...........__~t i + N: 44 h=[ 26 223 1.01 R + N: 44 h[_Pa;2 23151- R + Na 44 1f4 P, f N
~
N: 44 h i-2j 2 33 1j ;. 3'~a H +
h=! 26 2 35 ... R'. 164 P, + N; 44 h-[ t' :, j r' ~ I 7 + ftil: 44 h-'2T i ~Iu = L~ : 164P fN; 48 168 F, + N> 48 h=[ 20 3 R + Ne 56 ..~..
26 3 1Ã4 F3+N 56 p fd-_ R + N= 66 h=[, 26 6 161 tv<= R +hl 48 F i 164 - - ..... R N.6 56 N= 48 h 26 3 -32 13 i4 168 HI + h1 " 56 h:'r ?i 3 33 121 1 68 R + W 48 -[ ?f: :~ ~-.1A I = + 4 h [ 26 3 161 R: 16.4 R +W 48 h=:, 171 F4 +N' 56 h=L I R + W 48 h=~ 22_ 1 U....., 164 f, + N: 44 164 I=+fJ. ~~~_ h== 2 t , 10 32 101...... 4:.......__.~ i _N: 44I f-,1 -2s 11 20 11 j 1 ,~ 1~-;+ N~44 .',R, ...~ F'a: ~'~ + IV: 48 h- ,t I-~ f4~ 44 h-~ l26 11 32 1ol-'s1 16 t'; + W 48 hFi' 26 '~~ 20 121_ i~ 10 3 F,+N: 48 =
h .~ 26 13 21 1 ; 1 64 R + hl; 5 C-h= R~~ 13 22 13' .168 R +hJa 56 ','r~ 1.1 ~, 13' P + N; 48 h .~. ~(3 ' 1 ~ 1 68 17 ' . < .; 32 13 1 64 R + N. 56 3~L I IP4 + h"J
Lc. 14 j 1 48, 164 f' + P.l 44 h=~ 2,,L; 14 22 141 341~jl P l: 4 +w 4 f"r 4 26 15 20 151 I + W 44 h=- 2~q IS%'3 14 R + hJ' 11:3 h~ 2 6'~ 1~~ f F' _'-N- 44 h= 26 16 141 d C N 48 h=~ 26 17 20 161 R C- 4 R + N: 48 38 m E7 3 ._1:6 ni~?~
f 26 17 21 1 7 R + N, 56 126 17 22 1:1 i'~: 6 3 R, + Ni:56 "eL26 17 35 171 Pt + 56 2,3 e 3 6 17 H. a 1 R, 4"
17 37 161 F68 S R+ t..: 18 ~C~ ~ I~ Ei= Ã 6L u ~ ~V
26 31 7 Eim Ã34 Ffi + N: 56 F 17JP Fi .:...~m, . <.......... .
= 26 21 35 71 R. 6"~ ~~; 5 t:
26 21 36 61 F;: 164 R + N: 48) 26 21 3!5 7 ~ !3 1 64 , R t N: 56 = ~~ 21 ~~ 6 R,. R + N: 48 26 22 31 5 374.. _ . + N: 48 26 22 32 4)~R 6.:1 44 ':- 26 22 . ,_,_ki 1n'~................. ~' ~ ~...
26 22 36 A fi" ~~4; + N: 4 .4 ... .I ._.
~..
__ "1P) 64 ' 'LA8 ~
-=C 26 23 35 5'; ~ ~~~: 44 = 26 23 37 41 R t64 f; -- N: 48 '?4 PO 11 " ' ~ Q _j_ + M' 44 ~1 2;3 1 (R: 1~~~4 s ~ ~u;~44 26 24 31 41 R: 164 R~~: 44 I,_.___....._..
2624 31 1 17 F a, i~ " f 8. alk ~ -._.. _ ~4 õ.._.. ~ . ~.._ = 26 24 33 51 A: 16:; [H = h;: ~~~
26 24 33 101 F;: 16,11 ~-. 26 24 3,~a_ 4.1 ~ [? ' 64 _R..., f' xl :- 26 2436 R t fi 1 q N ''}
26 25 P7 1:J F r~ r, ~"_P' .~s>,a 2:~ L 1474 R f NI: 48 ~ .i i~l -r' 7.~~ _~ ~0.14 '# :~= .i~.
2" 25 2 i 21 N: 48 26 25 30 1 2 F R+ M:48 R : R+ W
= 26 25 31 121 Fi R a N; 48 j~. 26 25 31 131 Rm I C'l R: + ';: 56 fi:' 48 = ~ 25 32 71 R: 16S 56 26 25 32 131 . . .. ......... W 164 H: + hl=.~56 E ~)4 R+ N: 4~
..
~ ;, ~ ~a ~1.1~~t~~F~~~= 48 ,,.,...._._..
61 Rn 164 R ~ N: 48 4 , i 25 35 71 R. 163 R + N: 56 ~ 7~ R "~q.~1 ~ ~ ~ ~....
35 21 131 F;: 1610, 26 35 22 121 R. 168 R 1 64 W ~6 n 3;; :,r3 12 ............. R: ~ 1A i=, + R~J ~ 4,1,3 h= Z L ~L5 30 1 2j R: 168 F; -t- N:: 48 35 31' R:164 fi+N,'~ 48 1sj fi' 1 r~;~t n + F1' .,~
h= ;~l:a 131 Fi, 1 68 H 4, W
h=.26 3 11~ R; 164 R +N: 48 I01 IT~6,4 R+N : 44 k, 1 b4 R + N: 48 t7- 26 1 C i R; 164 R+ N: 44 ~.~. ---26 '-,'. 21 :I1 R; 164 -? F + EV : 44 h7 }-! ~6 ~~' 221~:~~ 1 P1 ~~ N:
h~: 2~a ~..1i 30 11'' 164 +N: 44 h~.f 28 37 32 101 R; 1 64 R +N: 48 L=' ' ~UL. + =A,~
h- 27 2 20 141 R; 164 R + N: 44 be:[ 27 2 22 101 R; 1 64 R + N, 44 p I -~õm..,~.A,.~~.. 164 Ft N- 44 jL=: I7 2 "1 1j ................... R 164 f'. N; 44 h : . 27 2 3~ 101 H; 164 Fi + [~J, 44 hf 27 2 34 10 ri' 164 r' 1 =J3 44 h~;~2L.~-32 IF) I 1 r~ ,1. .I :
1imi 27 3 20 ' 1 . ~ ' } I 1t'i F I I, :
~: : . 27 ~ 20 13 1 R; 1 68 R 7 _ 7 3 1 R 1.~ i s fi ~ ~
h= [ 27 3 21 121 R 164 iJ 48 h= 27 3 22 161 R; 164 R + N: 48 12' Fl! 164 R + N: 5 r ? 32 1 ..'.~y~.....~.. f. 1._r_ a. I!:..N: 48 h- 27 3 2~3 1 11.; l y ; 1 6 B H + N: -r- 6 Fi=f 27 3 J{? 13 R 1 i::~,:1 R +W 16 I' i;11 F ~ m1 h7= k 1 :3 i;3 I,:'I C, H
h= -27 333 12R; 168 C? +N; 6 h=i 27 3 34 1dFj.. R.JQ4.KK~ , 8 h=1 27 3 34 171 R; 1 68 R + W 56 .~~ 3 3c, 1c,Fi; 168 ri +N: 48 ~17 n ,Ns ~'hQ
~_.ft 104 R rIJ: 48 i'r- , 2 .' 1C, ~ 3 101 R; 1 64 R + W, 44 h=1 2.i 'I L, '?C I 1 , R, 1 Qm1 R + N. 1~~
1 1 M 1 0 3;:. I R: iC 1 f' a-h=f 227 1 1 : 2 1 1 1 l H : 1 i: hW _27 11 23 10 R; 9C R 1; E,8 1; '17 1l 3 11 R, 164 R +fJ: 44 - ~-- _. _ 11 311 10 R; 164 I rN- 48 h 27 13 20 12 P; 1 64 P + W 48 h= 27 13 20 13 R; 164 R +N: 56 h= '1 R:.1 0,81 IH + N= 4a _ .-_..... _,,,,,. ~ ...................
f7w '7 13 23 13 R 1 ~iR p + N 56 h= 2 - < -.....~N F~ 1 ~~3 ~7 + ~f= 5f hw[ 27 13 32 121 R: 164 vi i N. 4:8 h= [ 27 13 33 121 R:168 R-E- N: 48 ~~.N
h=~~7 . 4 2 1_r] ! 4 R2-fV 4{:_ h= ~ 27 14 23 14 f~1: 164 R + hJ: 44 h=f 27 14 35 15 R:' 164 R+hJ= 48 = 13~
h=. 27 15 21 151 Rr 1 64 I ; !r N: 44 h= . 27 15 22 14 Rx 164 R+ h<J; 48 h4 27 15 34 15R: 164 R+N: 44 i-h= 27 17 20 16 W N. -ld h - 4 27 1 7 20 17 RR 16 i R+N: 5'M
h--l 27 i 1 16 164 R+ N= 48 - 27 117 R= 1 N + N= ,~Ct h= 27 17 34 171 R: 168 R+N: 56 h= 27 17 36 161 R. 168 R+N: 48 ~ z-Lu,,;~. B-tx- _w h-= 2Z 1L37 17R: 164 R+ N: 5,6 h- 27 20 30 61 P , - 1 ~ S R + N. J v h= 27 20 30 71 R: 1 k9d. R + Ne E) ;' 1 , 1 ~ . ; , i N 4, h= 27 20 3!_Z H: 1jj R+ N. h=f 27 20 34 7 Rr i68 R+ W 56 27 20 36 6l P,: 1038R+N: 48 r I, 104 r, i hl 19 ~,.
u h=~ ~~ ~~ 37 7] R 161i H ~ 11 h=f 27 22 31 51 P,: 1:64 R N: 44 ,_4 ~tt~ '~
~ .......
h 17 ~~~~,~-~1, ___1~~
?~ 3~ .._5j.. .. 101 _t.... I., ' N= 14 17- ~7 ;.3+~ 4 F~: !~i~:4 F~ + N' ~jJ3 S R":164 R+N. 48 7 4] 4 4 r + N_ 44 R: 164 H hl: 48 41 RA ! 64 k + N. 44 h-~ -3- Rn1(34 R+ Ne 56 4"' 2,7 2 2-3 1 21 R: 1 64 R + N: =1 h= 27 24 23 131 Ra 16d R + N; 56 j R' ]64 R + N- :
t'1'1 '7 pt,W._.7 h=L '__ ~~_12J_ Ri 1,68 'P4!- 4~
h= l 2J 24 30 131 R: '1 (38 R + N; 56 h~~ ~~ 24 31 12l Rw 164 R -w N; 48 Yt-~ 27 94 ~ g3 ..... . R ,~~ ~ ~' ~ ~1' _ 4~:.,,,,,,,,,,,,,, ~
6 ( f 1 K~ H+N448 11= 2a 2-' Rn R+ f: 5 ~i h=... 27 24 ,U tR; 164 R+ lel= 56 ..,. ,,,,, 27 24 3461 R= 1 64 ii f "J 48 2 7 24 34 71 R: 168 S6 1 27 24 35 6 R: 168 F+
-' _? 7 4 27 25 21 11 R: 164 xt H:41 a = 27 25 22 101 R: 164 ~ + PJ 14 44...27 25 30 4.. R. 164 R + N: 4 4.
_ r ..r R~~ . . ........'~.-1t =.1...
-[2 25 39 51 R: 164 R + N= 41 i1 27 25 32 101 F3: 164 R +N] 4,1 .. . ,.õ I + . ~t 4 _ = . ,:, .... ~ ~.. . .
PU_# ~ ~ 164 ~2/ 34 20 1:31 RP 16:~ ~+ N: 56 27 34 22 12] F!: 164 R +N; 48 7~~G~n~n..~~~
27 34 23 131 W164 R + N 56 27 34 30 121 fR 1 64 H -1- P!: 48 27 34 30 131 R: 1 64 R + N: 56 M_3 1 ..a.xI?j El -_L6' r~ + 0u.~
L " 34 33 131 R,168 R + N; 56 27 36 20 11 R: 164 R+N: 44 97 36 P.~ 101 R: LQ4 R +
R- 164 ._.,. .
~,~a ~~s 101 R. 164 R + N: ~1 ,13 27 37 20 11 F3: 164 R +W 43 P7_R7 1 0 104 511 PtL- 44 11 Rr 164 ;=1 + N' 41~
- 2/ M 133 1 01 W .164 EA + N: 4,' 30 2 20 151 R: 164 f=i +N: 44 ;=-~M' ~ ~ I JL- R~ 164 + ' 4$ ,., 30 2 1 0 W 164 . R + N: 4.1 = 30 2 26 111 R; 164 R + N: ~1 4 k 30 -23 1 :,_ f?: 164 R + N; 44 ? 1:Al R 164 3,' 1 1 H I r~ 4 - A + N: 44 30 2 37 14 R. 164 R + N: 44 R 1C) 4 R + N
R "1 4,s ~
L s(,13 2 3 16 H. 164 R t- N; 4 8 30 3 23 17 R: 1 68 R + N: G, ~
1 3 24 1~ j" R_ 168 Fi ,- N: ~~~
30 3 25 121 R 1 68 iq + N; 48 3 7 1 ?] F': '1 64 R+ 'l' ii, 1 ~~~] F-,,,. 164 a :
-j 3 1 ' i P. iF E1 R +N
j ~~i 3 3 ~ 1 t~ f~ 164 R + N: 4~
:30 3 36 Is'?
1Ãai 8 +N R

h-~ ~! ''3 7 121 f , 1 t;8 Fs I-i 1 6 L ' F : I-i + N ;6 3C: 3 37 17 FF' 164 f3 +N 5i]
= 1 4 Rm.~ N- 44 27 R= 164 . R + N= I~
h-~ 'W 10 34 10 R: 164 R + R1: 44 f1= ~f) 1[ 3+~ i 9 R: 164, R-F N: 48 h.~J_ at;, ,11P4 ..~~ = 1 ~:....._.._ ~ '1 h ; i C' 1__ 1 2 r '1 -1 -97 ~
R: 1 ~fR+ W 48 h= 3f; 11 3~.; '' .1 Fl: 161 R + Ns 44 ~C' 1.2 .24 12 P' f C19 . + : ~3 .. . ,,_ ...... - ... . .....
25 121 R 16,1 P +W 48 h= 13 '- 13 R_ 163 R+N: 56 I- 7t: 1~ ~ 4 13J I;: 169, R -r Ne 5aR

11= i(J 1"1 31' 121 N,'1;a1 R+W 48 h- l 30 13 37 13 R. 1,4- R+ N; 56 Li -f 31.) 1 ~~~ ~~n~,..:4a1 R iQ.4R + N. 44 111:10 1 ~t .~'~. ~5~ ~.. .1g,'1.
h=s ;.9F 14 34 14 F=i. 164 R + N. 44 h=j3G 14 37 1 5 R= 1Q =1 F#+Ns 48 3 t~w15 21 141 R'_lkir# R +hJe 4g N: 44 h : - .:10 15 35 14~n R +N: 48 j 3G 15 36 1S R: 164 R + hJ: 44 ---f~ 3 [t_ i I Re 164 R
h ! ;t;f 1 7 20 171 I = 1 6) , i R 1 ~J= 56 h ..3Q 17 21 16 R:1~ 8 i~+Ns 48 h= 30- 17 23 171 R:165 R +N: 56 h 11=F 3L 1+3~ F 1 k?rl R t hl 14' h-- r L 1t 37 161 F3: 7 t'38 ~ +M, -i h= 30 17 37 171 F3: 16 =1 R+ hJ: 56 P 164 R -r N: 44 ~1]I,-164 N=
h 20 84 101 W164 R + r+l: 44 h- A 20 37 11 F,: 16 4 R +N: 48 17 a . (; ~1 ~,# 1t7 F 1r,~ B *
21 2t; 1] ~ ~}
h- 1Q ..l. R + N. 48 h=~3i} 21 1 R. 164 R++ N. 44 Pt 31 21~ R +
~
N: A
11-t 30 2;; R 68 t~J
h= Jfl 23 L 12 R: 161.1 R i.: W 48 h= 31,~ 23 27 131 R: 1 6r1= R+ h,l; 56 hm ~i() 3 34 12 B: 168 R +N< 48 h ~ ,if. 2 1 34 13 : 1 64 R + N- 56 .Q. 2 3 3 5 12 16N
UW 23 37 131 H. 166 R - N: 56 ~-- 30 12 20 5: R: 164 I;+ N: 44 = 30 ";e 25 5 11 R: 1 64 f ::4 33 0 32 25 101 ;: 164 R+ N; 44 R+~: 44 :~'? 72 27 41 R 164 R: 164 -_'A: __4 11 R, 1 64 R + N: A.
L.110 ~ ' ___'~ f ' 1 64 R A >
30 fi] (+ 1 f~~~a ~ ~ ~:
R: 1 64 R + N: 48 n;... 1 ou 33 23 a : R; ~ 68 R. + N: 566 R: ~ R M.
~
~Y3 24 R + N.
30 3 3 24 131 R' 14 R4- N; 56 t~L 30 3:3 25 611 ; ; A R + N: 48 33 27 71. R: 164 k = r; : 56 !=1 3 27 121 R: 16cs R+ N; 48 R + N, 56 F.f 1 C, 4 r; gN: 48 9 W ~ ~; I3 R; 1i~8 R~:: 56 ~-1 ~ ~ 35 121 R~ 1 E8 R + M: 48 lt~ L i'O 4 3_ 9 7 1~ R+ ~
~
~t7 30 34 1l 103 F? s N;
1:~L w ~34 22 51__ 1L..._1 P +,W~ 48 %71L,j 34 24 41 R; 1 64 R+ N: 44 i~~Lyti) '~~1 2Z_ 51 R' 1 CM R + AP
I=[ 30 35 21 f~ 1t~a Pt ~~D
i=( 30 35 23 5 ' 1 64 R: +N; 44 1 30 35 25 II 1 1 fi + N: 48 tP~ ~ Q FI. -I .4 +
37 20 b R< ,,1 !i: F 1q L'~~.~ 372 c I ? 1 : 164 R+ N: 56 47 ~1 til r~ ~ ~~8. R ~ ~~
R ~_...N' _~..G
~._ t, ! ,?r1 ? 1~ 1 b8 R+ N. 56 t=L31'~ ~7 ~t: R; 1~r4 R+ 1~, ~
u. .
tl q'~ .~ P" C t"<' 168 za ~_.<,~,~....~ ~~
_.,.
LILA Ij/ 2 --.......~~.: 1 ~4 ~ h i t at~
164 R + N: ,A
= L31 .2. 2~ .tl _ IR: 164 R + N: 44 .'l 10] ti: 1f:4 R A4 = [3'~ 2 ~~a '1 '1 )R 164 R ., N..
2 [ 31 .~ 34 10~ R 9 t.?1_ R + 44 -L-31-2õ "rl 151 R 1 &4.. R 44 tri'+ N: 44 h.:: ~ i.?..~ 4.~._ li 1r"3t It {_ j~~ 44 f~= 31 3 21 1t k; 164 H-t- N; 56 11=1 31 3 22 16 P,; 1 64 R + hJ: 48 r~ j~~ ' 71 ::::7 ~. 1 -h=[ 31 3 2;i I t; H 1 R+N: 48 h= 31 3 21=2.1.._ ~ 1' 1 R + h,l; Af, h-- 31 3 . : =!1 1 :: G R + Na 48 p t I'1' h= 31 3 ,. i 1i:;} f~ (V 5~r 11=~qf a 1 j5' R:1b4 R +N: 48 R: 164 R+ra: Eir ,.. . _ ~~
h-A 168 I-S + fV; 71 ti ~Li 12 h; 168 R+ N:43 h ~~ 1 13 13.]wõ~ õ., ,,,,,.~Ti 1 r,8 R +N ,rt h== ;i 1 3 7 12]i h: 1 64 ~ 1 N: e1k3 h - d 3t 10 25 1 0 F i : 16-11 R + Nu 44h-a 10 - 2[; 11~._._._._........ n 1 ol R + N a ~- ,~
, T.
h=~ 1 i ~ 1 r, i 164 Rz1.i h= ~ I 1 i 3 i~ 1 I h~ 4 P + N: 41 Yi= a 1 1 i ' 5 10 R': 164 R-I- N m 48 Y 1 -4 _ ? f ~ 1 1 ~~ R1 (34 R + N:14 0 l I, (A ~B-4- N= 4U
1l- :31 1 1 87 1'I Fi; 164 R+ W 44 h=1 31 13 24 12R: 1 64 R+ fW; 48 u-t2, '' i 1 1 C."il P + p+1= 4~
1 13 2;~ 131 f ~ 1 64 1 i + N:.
h= 41 1:3 26 "I R+ IV: y;
h- 31 13 35 13 R: 168 R+ hJ .
11_ h= 31 7 3 3 t> 1:
h=1 31 13 37 121 R: 168 R + N: 48 h, S1:. j 4 21'.. 14 R: 194 R+ N: 44.
h'- 31 14 -3 5 141 P: 164 R + N; uu 44 I i= f 31 14 36 151 IR: 1;=> 3 R + fd 48 h7U1..1..5 ?t~ 1.41 ..,,.. .........,ft 1 PI R ~ C*J: ~1s3 -B+N.
~. _ h= 31 15 '11 141 R: 1i't 1 R+ t~J~
h=. 31 15 37 151 R: 164 R+Ne 4,_ h-I 21 1Z ~ 1I R. 1 F;:' f~ +11: #$
h= _ t 17 21 16 ~~ 11. 1 i;;i hl: 48 h~ t 17 21 171 P:1iA I,-rI~~ 56 h= ;:1 17 22 171 R: 1C3 R + N' 55 11 1? ;i r, 1 FP. ~ ~~, I ~: 3 i I aF ii~ 1~ R: 1f" 1 R + ta1:
h :31 17 3~ 164 R + fV 48 w,..~. _ ;31 2L~ PC" 1o w 1,3: k , N=d. 48 }1= 31 ~~ ~21;1 R.: 164 + Pd:44 3J n L........... P" I f3 4 18 = 31 21 25 ~ 0 R.; 104 ~ + Na 44 31 I Ft: 164 R: + P,I; 48 t~ N= 44 _a ~:.......
h= 31 ~] R1 R: 164 t_,a: 48, h4 31 22 25 13 F1: 163 'R' N. 5 6 ?~~ rd ii 31 22 H i,u- rs. E J: 1~
h=. 31 22 2:-2 R_i63 R+W 118---W_ . --- - ~ ~
a1 22 i2i- ar~, j F~ + N: 4h =C 31 22 35 131 F1 6 R + W 5f, hI~ 31 22 2 6, 1.;Rj,,__~F~" N. ! i;
- 31 ; 1 n + N ,'ra = 81 82 22 61 f1, 1,S s a + N. 48 if[ 31 ~~ 7a R' + BU: 5fj ~iL,,. Ir, 1 kiy +
I~ ~ 12, R + N: 48 rt 1 6B R + pJ: 48 1= ~

7~ 1 ~~ 1y; ;ft: "1t" ~+~.1 5 j 1==j 1 32 26 71 R:, 164 R + N ;, ,1 -~~ ~r 1 R N lu , i:~ :~1 i;r -6 'i3 R: 1i~-8 Fr. 1~ ~õ, =_ 31 32 27 121 R: 164 :A: q!S
R ~C) 3 R+ N 8 ~ 11 32 37 12Fi I k; ; f i f kW 48 ~~. .
,. ~
i= 31 ~~ ;~ a 1 ...
3. I; 1 iiu f=t + i'l; 56:
h31 _ 3i? 36 131 W 1641, r~ + a~ ~~
11--; 1 ;< , ,, ~:i] rf: [1 ~t a~ 44 i-' 1 Ri ZL 41 }l~ ,. 44 ti = 33 24 51 " F-; 'a = 44 A 26 41 R. l j4 ot 'a 11 1 33 26 I 1 l R 1 64 iR + Pl 44 1',43 34 IA- rfi. '1 r;~~ R
~; a S ~ 711 .(~~ ~14 -= 39 34 20 4 R: Ii1 + Pd; 48 ri + 4.4-- 31 34 24 41 1w 1R+N. 48 == 31 34 27 5 R; . U R + N'; 44 31 R..~x 1 4 r#: 164 N. 44 r 1 411, ~
1== 3 1 35 25 ~ 1 ~'; I $. hi. +lsl: 44 1-- :1 35 26 ~ R3 164 R +W 48 am 31 .3620 ......... rr' 1 #i R +._N= 8 1 r4 R+_.hJ 48 I,...~
h= Ji st5 22 7" Ft; 1 bd P-t N. 5,6 h=[ 31 36 25 71 Ft 1 (::3 R+ Ne ~=.
IP +NJ~1a ht= "1 6 26 4 t~; 1 t:I Nm I'i= 31 ; 2? 61 Ft; 164 R + Na 4' h-~ ;;' 14 M 1 (34 F3 + N: 44 h=i 32 2 a '~ l -.~h, 1 ~~ _ ~ ~ N~ ~1~t hl. 44 pr-L32 T~ 27 101 jEi 164 R + N: 44 ) ~~ Bw!'N
h 4 42 k ~~ 5 1~~- tf~, 1 ~i R ~~.. t~: 44 32 2 37 10 R: 1~4 R +N: 44 lbi FI - 1 t + N. 44 -,2 3?0 16 ti; 1 t_: j f-i ~r N 4#~
I11- 2 i 21 16 R; 1 64 P + N' 48 h4 32 3 21 7: R; 168 R+ N: 56 11~ ] -~AA , f P,J: " d7 H; 1 64 Pd õ
h- 2~ ~~. R; 164 R N lL:
h= ?,e 3 27 12 1 68 R + N= 46 h=1 32 3 34 121 I 164 P +N; 48 I~- 3?--2~~"; 12 a; 1~a R + N: 48 h=F 3 > ~ f~ 1", : 1 6 h 12 ~ 3 5 7 164 P + W 56 R + N . 56 h= .~2 1 r:3 R + N: 56 II'- 2 3 1 6 ! }?; 164 R +Ns 413 Q_?_" 11 R: 164 R + t*l; 48 ';F 7n E~1 F~1~ =44 h= '3 2 1 Q :1r+ 11 P; 164 P+W 48 I"A 3:' -I Q 36 101 F[; 164 R+ N". 44 Ir-~ 1 I ~ 11 P' P-r- N 44 111 ~k~ 1 U- 1~. 164 f.~, N: 46 h= 32 11' 34 11 FC; 164 F' + N: 44 11-1 Ia2 1.1. 36 1ol R. 1 I~+N= 48 h t;r' 1:~ 25 1I J"i~k:;F3_. +~1= 56 ..., li-i~ 32 1 3 26 12 R; 168 R +N; 48 Yi=122 13 26 131 R; 1 6-1 R + Nm 56 ~97 1RL 4 }' -f NAP-h= 32 13 34 72R; 168 hd N: 48 h- 42 13 36 121 R; 164 R + Nu 48 R + 1 5t=i h J c3 > ;~ 1 ~. l s 1 r ~~ Fd I- [~ l.......
~..~
~... . ~ 1. uH -h = 22 14 20 I 5' k 1 k:: 4 P+ W 4~1 h- 32 14 22 14 R. 1 E34 R+ N: 44 h= 32 14. 35 I;" 1 t34 R+~1: 4:.
~.
h= 32 14 3 14 IR, 164 R+ N 44 h= 32 15 21 151 Rk 164 R+ W 44 ~ ~P1. ~ ~4 R=mI~~,~~ ~ +hd: 4 ~, h 315 34 1 51 He 164 R + h~- 44 ViA 32 15 37 '141 R. 16el R + N> 48 h- J 2 17 22 161 R: 1 64 R f N;
h= 32 1 7 22 17 Ra 164 R+@1: 56 +! a EL
,,uo. ..
hj~i.~' 3-' 1 ~i F~, 1t:~ ~~aR.i,N:
h==' 7 161 R; 168 F3 + N: 48 hm-: 1 1 4 R+
17 36 11 R: 1~~ R+N 56 h==[ ~i2 21 24 121 R.' 't 68 R+ Ns 48 + 4~
h=;C ._~ ? 2L25 l''l R: 114 h=q,,1 G k~w" [:~ J ("i, 1l 10 1"t -" I Y .~.. . ~ .
h=[ 32 21 26: 'C 3~ Re 168 R+ N. 56 h_~.~~ i JR.1 (-,fL +, h 121 W 1 68 R +. N= 48 h'== :S2 21 36 131 Re. 'j F"4 F3 + N: 56 jj2--?,1 ,37 12 . : 1: 04 + -~
~ ~
h-F a? 22 24 Il R~ 164 R -iw I~; 48 h== 32 22 26 101 R: 164 R+ N: 44 4 + =
h ~~ 36 101 R; 1 64 R + N; 44 wnW n~ ~~
h 1.,' 23 24 11 R~ E 64 R+ N: 44 h r ; :1j? Cl 101 4 h 35 11 R; 1 64 R + N; 44 h=3 2 23 36 1I'D R: 164 R+ N: 48 h L R+h1 44 h- j2'30 22 51 R: 1 64 1-; i= N. 4 4 _..._........._..~.._ h==-32 ~~ ~r., 41 RA1r;} fl+N: 44 h -F ~~A-21i1- C I,; ~, 11 r~ -L ,2 30 27 J 5 I, 1 t~ h= 22 30 27 10 F;: 1:~, R + N 41 R+ N 7 1 h=4 32 30 37 10 R; 164 R i= h1: 41 h= 3.2 29 20 61 F3: 1 68 r-, + Ns 4r ~2L~ p +N! I
h==127 71 R: 7''at, H I fwl I 2 71 R:164 R + N:
R' 1 04 R
ti~ H: 1 f11R t N: ,ci a'. ~ R 165 R + N s 4jS

71 R 1 68 r) -1' N :, .
ri.3 + J~1 h== ~ 31 2e, 71 R: 163 R+Ne .~ _.._ h f~ 27, 1 k: 4 + " 5M

WO 2007/011161 PCT/KR2006/002831 h~~,~~

h= I ? .'1 lr~ f;: 1 (3 4 1 'Q 121 W 164 . ._ ~ _ H+ N: 48 31 36 1:31 R= 1 6$ R+ N: 56 h--1 1J7 22. 61 Ei= I C)k + N, 43 h= 32 35 22 7 F~: 164 R+ N; 56 ry !~"~ ~ F~ +~ N :1,., h' ' :~G J 2 -:. 6 I8 k + N: h=L3~ ~~ 25 61 F 168 R + N: 4,__ h=. 32 35 25 71 R: 164 R+ h1: 56 ,- .. ,-"''~~~ ~~ R- I RPd= 'i:i h= 6 205 R: t 1,j :1 R + N 1 : .........
h= .32 3;22 4 R: ~_-, l R+ N. 44 R> 164 R+ N
h -F s~ ~t r~fi }]
~
h- 32 ;3 21 a R 164 R+ C~,I; 41 h= . 32 3 r :' } 4 F 164 R+ hJ = 48 51ri 7 034_ r + - 44 4 , 1 64 h + N. 48 ~20 14 R: 161 R +W 44 h= 33 2 23 15 Ro 1 64 R+ Ns 44 R 1 r)~ R B' 44 h-" !2 26 70 H: 1611 F, + N. 44 t'r= 2 34 11 R 164 R+N: 44 34 14 P' i,~~GR + N. 44 h-33 h - ? 36 15] H,. 164 ~ R + N. 44 h=.[i3 rtl I61 F1: 16.1 R+N: 48 i l 17 R 1 Ci' +
h f 3 _ ~
48~
I~ 4- f~x 56 h= ~3 3 2 RF 164 h= 233 3 ,~4 13 R. 64 R + N; 56 0, N' 4f, h- f'33 2_1 ~ R~ R ! N: 48 h ' 2 : ~ 1 3 R: ti8 R tV: 56 R+ ftil: 48 h-t 3 34 121 R 1Q 19 h h-f 3 34 17 R; 164~ R+ N. 56 Yi- f 33 3 35 12 R: '( ~a4 R + N: 48 h 3 3~ 9 164 R+ h1; 48 h 3 8 37 16 Rn 1 t38 R + N: ~4 a h=- 33 3 37 171 Rm 1: 68 R+N< 56 h ~~ ?A4 111 R= . ~+ NI ; 4' h 7 101 R+ hl- 44 ~....._ h 3 10 35 I1 R 16 ~ R+ h.14 48 h= 33 10 37 1~l' R 1! 6v R+ N: 44 ~x:1,934 11 24 11Ia.d.eeT,w~_ 1 Fm . . ~ _+ ~? . 44 ~ ~'f I; N: G,~, == 'ad 11 35 ill R: 1 i j R ~ N": i1 4 93 1 1 37 10. Fl: 1 64 R + N. 48 f 3'i i3 24 1 ~k:8 R +N= 56 w1; 4 13 26 121 I~1 64 [~ + C~ ~~
u3 13 27 1.21 B, 11::~B R+ 1+,1: 43 33 13 27 1 31 R;' 1 6-1 R+ W 56 == ~3 1"1 13 R; 164 H N: ak) -3a 1.:a ~!..... R: 168 R t r,i '_ 1;11. r Jrci F" f h"? rf ~4 k1 64 1.l.f I~ ~
1 4 1 ,, R 164 f-i i N: 44 ~ 33 s4 ;'3 4 15 ' Fi: 164 R +N; 48 1~ 1 R' ir'1 ~ I+ I~~~.4 ~ -33 15 20 1 ~. h6: 1 rõII~ 1: 4: N; 44 -= 33 15 22 141 I~;: 164 H + hl: 48 03 15 31-9 151 Ft: 1 64 F; + P1. 44 I P + N : c=~ 1~ ;!fo 7 k; , 168 F,, ~I~ 548 3 17 22 1ts' R: 168 R4- N: 48 __. . ,V..~
. .3 164 f7. !. P ~x~ .......
....
-= 3 17 34 161 R : 168 F3 + N. 4-6 11= 3 17 34 171 R; 164 R + W: 56 17 S r) 1 f1 ~~ ,.
~
.. . w 1 Ci, R 1 1-_1 P + N: 56 2:-j 3'. 20 24 1.2f R: 1 64 F+ Nw 48 !_:~ ~3 20 NFi, 164 F1-- fJ: 56 R NI: dA
20 21 7R; 1 68 R ~ N:' 5u r- 33 20 34 131 R:168 F; 4- 114: 56 f 1 + +$ 8 l21 R: 168 4t + 1C 48 r<'~ 3' -r! r I.~ ! R: 164 P + W 56 _ j 25 11 1 R. 1 C-1 F+ h1o 44 "' 11'l..
~-~ , = 1 l1 h: 1~1 k' W 4,1 R: 1 64 R + N:. 4Ã1 ~-i ,~ { 1 1 4 ~....~..~'. ~ ~.. ~.:" ~; 1 0'4 R ,~.. W 44 -~i 23 } 11 k; 164 P + N. 4$
'i-~j_?31-2-1-37 101. R: 1 ~-, I R + N; 44 ~-~ 331~1~~~p' 7 i1'a -~ N: 8 ~ 3tJ20 71 H; 1 ao, R -Fr N: 56 ~
7 = -;;?, 30 21 6 R : 1 66' R + N; 48 .
- f 3' oCl 23 ?~... H i_64 R -+= N' 56 - s. ......_..-~.. r4 _71 R: 1_64 + N= 5~

....~ .: ~..... ........ . ........
hff [ ;J _30- 24 14 R fr N 48 ~
h-= ';3 A 24 131 56 R + N: 48 h= J-3 30 :251 21 h [ 3 a 3'7 ~~~ r-, 48 h-[ xi R .NL 48.
h- :.i;j, 3 0 2, R+ N~ 56 h= 33 30 27 131 1:4 R+ N. 56 hr-L 1 ~~~1~~r,. I u~4 i~+N 1 ~ ~~
h-- ;.~~1 30 37 ....12 i; 1~i4 R + h!: 48 h- f 33 330 37 131 R. 166 R + N: 56 hL; a1 20 4 ; 164 _R + N: 44 - B-rN..:~ 4-h )',j 1 ?-1 ~ R: 164 R aa hJ: 44 h L 33 31 2~1 11 ~ R; 164 R + IV; 44 h= :33 31 2 6 ;~'' tR: 164 R+ N: 44 -' 1 4 h=' 33 31 164 R+ W 44 h=[ 33 :31 10 F,: 164 R + N. 44 h=; 33 34 20 7j, IC8 R + hJe 56 t-i.15. .4:M-f" 1 .~ '~' ~? + N= 4 h-[ 3.3 34 E3 L,'l._ +- 164R -1r N: 4'.8w ~
h= ~~ 34 23 164 R + N4 56 h~~ 33 34 24 61 J: 168 R + N: 48 = A,.,,?4 t- ~i s: 1F~+h~1= i3 h- 33 34 25 61.~ I4: ~ 6 1 R ,r W 16 h= 33 34 27 a ; 168 R + W 56 h= r 33 36 20 5' ~164 R + N. 44 h=[ -~s; J)P_41 "9 fi4 + ' 4~3 5õ~,.N.~
~ 1 ,'7 I174 'h 1 h ~ "t .~.
h= ';626 4 16 4 R +N: 48 h- 33 37 21 5 1 i 6 R + N> 48 h-[;~:~ R + N 44..
[
ry 1%7 21 '~~ 1 f14 R + N- 48 __---------h=[ 33 3 ' r r' 164 Fs + f J 1'1 h=[ 34 2 21101 0. X 04 R + N> 44 34 -011 ii 4 F; + N: 44 ~_.. _ { 1A f N= 44 hm i~R-Mhls 44 h=' 34 2 .3ll 10 R: 164 R+ N. 44 h-[ j:+ 3-1_._11i;,1 ~i4 f +Ne 44 h. [ 34 44 h J ~ '.:? 3 3 141 H: 164 H + N= 4,1 h= 3 20 121 164 F + N. d t'y h=f 3, 3 20 13 R= 1~~ ~i +Nx 56 h= C '~j : -OP1 ' .~~~
t ,~, i ~',l R ~r h1 r 56 h= 3F~ ~ a ; 1 64R + Nn 56 [h:-- 3~ G R+ h1: 48 . _.~
h.d h=-'.G 34 166 H hl : 56 h=L~ _ .7 3 f 13 , U R-t- No 5+5 fl, r 1 f~ R jJp 48 h-- 3;:.~1 161L Fi f:4 h= 34 3 32 121 164 ffi +N. 48 I ~~ :f _ x3 +_I~J: 4~#
+ NL_5a,......,~.....~
h A 33 17 ; ~i '1 F } a fwla 56 h= 34 10 20 10' t 16 R + N. 44 h-C ~' _1 ii ti r?~ R + CV a 48 0 101 RtM-44-h= 6 Q 11 ] f-~ ~~~~ IV; 48 h==[ 3,"p ~ 20 1[1' R iAR+ W 48 h .~ :-~ : LI 23 11 : 1 64R + W 44 ~ ~j 1 ,~~r 1 ~ ~i- 1 _ i i 1 ~_ B t ~ = ~~ _ w h= ~ 11 32 11] R + N: 44 P + R: 48 I r 13 20 121 1 3 20 1 31 F + N 56 h-[ 11 164 7 + -hf 13 2,~ 7 b! J--~ 1~ a~ f q N: 56 h-l _T~, 4 1~ :30 1 ~l k (S 3 P + W 56 h--34 13 32 121 l&I R -f- fVo 48 R +N-4&-h 14 13 ,'. 7;'J 56 h=; ,: 14 21 1. v 164 F;+fV4 44 h=f 34 14 26 1:~J 1EE 4 R +N 48 h~l _~ + : 44 _ 1 . . .
~4 ' R -~ N- - 48 h_LAre... 15 25 1;. i 1;'; k? +Iil: 48 h= 34 15 27 1ff, : 164 R + C*J* 44 h .~ '~ .._ 1 ~ j 1 ! ] -, ??'1-:.~. j,W 11 h 31 24 161 164 f.? f+1 fl ~
h =, 34 24 171 '9 f" R f N: 56 L.. ~, 1E3 ~? i~ -f rl: 48 f'i ?~+
h- Ã 3) 4 17 ZL
?4 :S 171 fi r?J; 56 h=l 34 17 32 I 61 -1: 164 h; f.._N: 48 ~..~._i 83 16 R +.._N 48 - [ ' 4 L7 _ ?' 6,4 h-C 21 20 Fi_+ PJ~44 h=[ 34 e4 22 111 16~1 R+ W 48 h' 34 24 aO 1Q I ir4 P+No 44 + NJ'A
~ wMU~u t 25 2-0 701 1 ~ R +N: 48 h.e:[ 3,,{ 2-5 22 111 in 164 F' + Nm 44 f1=-.. 34 25 30 101 -fi: 164 F= +r41: 48 h::--[_..]. . ~'" .._?;;i 71 ~I3 fi ; ..... P '_.~.... ..~ ~
h.:: 3 ", 2/ 20 131 1 68 H + hJ: 56 h=[ ;~i 27 22 12.,~ . 1~'i8 ~F- No 48 I C 34 ?? ~~ ~ 164r r r J 4P
h,m -i' 1 23 13 .164 i N= 11-~j 34 27' 30 121 f1; 16~6 h, -k- twl: 48 h-=r 34 27 30 131 = 16:4 R+ N. 56 b:,KK.~. '~ ~- ~~~..-,,...~, ~~~,=~~..'~~...,m h-;~4 ~ 27 33 131 168 R + P;I; 56 h== [ 31 30 20 m'i R + fV*, 44 h-= 34 30 c ? i 5 1 R +N: 48 h ~ ~u w B+ AA
5; qt ic:1 R+W 48 h h=i ;,~ o i ei 4 Eli. R +N" 48 h-' 74 31 .~2 ati~:1 r~; + IV: 44 n [ .~ 4 5 4_ Fi , C a P f tv= 49-h= 34 ;3 1 7 51 1611 P, + N; 44 h= 3d a," :-11) 7" 16+3 R+ N 56 f1=l 3 4 3!: R T R: 1i14 R + hJ: 48 ( _ ..~,..~ p C'~ -.~.~~. ~ ....._.~
h~(, +...N 48) h 3e; 161 H hla 56 h=1 344 164 R--- hltt 48 h-[ 4 i, 1.~~~.... it 1fl4 I? N~~3 h=C ,4 ~.i 5 611 1, -N= 48 h- 3 F 341 21 71 1 (J3 R + hl; 56 Vi==1 3 36 21 5) -164 f~' + NW 44 t3 21_~e ~~ 1 fs4 r, 4- PJ - 44 h~ ;;j2~ 41 ~;;; I11 Nn 1I
h=36 23 11: " 16 1 ~ R + fil= 44 h-. 34 313 24 ~ TI 1174 r + N' 44 Ii W ~127 j_ 1; f + tV=
h- a~a m3l 10] H N. 44 36 32 11 : 1 1~'1 F: + hJ 44 It=~ 3 a8 F; + N : 48 '.~ 14 3 UQ--A-. 11 r' h-=i ';r4 V 20 1 31 ,; H + h!: 56 h =[ 34 37 21 61 f1 1 (, l'I R + N. 48 h- [ i + 17 P2i,2.L.......e.,,,,e._ } f M' R + N' 48 i4 37 7.1 IF1 ,~,i> r N h-st 23 12 i* 1 ;;L" F, N 18 h- 3= 37 23 131 F, e 1-ia F3 + Nn 56 h ;j 14. 37 ?,A_Z] f ?
h== ~4" 17 2~ ~~.~; ~' u t ~;~ ~ I -; , 48 h=-L 3? ~? 61 i. lti f-i + W 48 h= 34 L- ~7 R- 1 68 R + C4Ja 56 ~j q,4 ? ( ) 11,1 1 '1 h-[ 3 ;168 R+hl: 56 h4 34 3i' t 9 121 : 1 68 R + N. 48 h 34 37 33 131 IR' 164 R + hJ: 5~

2 2~3 1 R 1 W' 44 zmV
-F-135 2 25 15: I*; 164 N 44 =EYI 2 26 141 R; 1 64 V; 44 164 N: 44 2._s~~~~~~~~ !-N~ 44 11R: 164 Fi +N; 44 _135 232 1 +1. R; 1 64 ~t- N; 44 r, +r~ a 4 zl 1G E: 1k k H f, t , 48 }= 35 3 21 13 R; 1fi;. R+t+1s 56 3 22 Q R; 1 C4 +N; 56 + N a 1:.a5 4 26 1~a h; '1 ) 11 48 E 1_3 5 32~ 1..._7 R ; 1 f=:,3 56 2~ t=~] 168 +
3ti 1 i:~].. ~ . B:j 64 + ~16 .
t 35 3 "3 1 1 _; 1 R; 1 64 + N; 56 35 I 6 FB 11-; R + ~J 4 N;
1i=1 35 :i 32 1 3: R:1 60 + N; 5,G
-'~P 171 Fl; 16"al .+ P+J5 fa' f i~~~ Ft r -N. 4 8.a,a,.a . _ 1i: 21 '10 R; 164 ! N; 44 1~ ~-7 11 R; 1F_'4 R+N, 48 ._.~
~ :_:....T ...'-: 1 o 31 io R: 1(' >. Fi + N: 44 õ
Or -' 35 11 21 101 U I P, + N. 46 ~35 11 22 'f 11 R' 1134 + N; 44 11 (21zv 11 ~1 1 al Fi 4 + txl:
r' N: ~4 20 12 k 1 64 1 + N, 48 ~- 35 1 i 21 12 R: 1 r, R+N~ 48 - 35 1 I 13 R; 1 Q;+ N; 56 1 - 13 32 -1 R; 1 64 (1 + rj'; 48 t-.~ 35 1 3 33 12 R; 1 68 *18 35 14 25 141 R; 164 N ?d; 44 R 1 e 4 1 4l f i: 1 r,} - '=J 44 -...... } 1 v- 35 1, 32 151 H; 1 i-1F; F N;
25 15 4 141 R; 1C1 3+W 48 +
~. y 1 r' "_I 14 I1 i :-j 11 N: 46 15 P 164 N; 44 35 17 24 1-Y R; 168 f d+W 48 LPi 7 2S1 C~F~" F +
~
4o5 17 25 17 J H: 1A R+W. 56 r 35 17 P - 6 171 R. T 68 Ã=i + N: 56 {!; 31 R: 16f! yi + W~E~
-[... ,35 1 ~ 16 6 Im: .a 32 17. R: 1 6'~ H + N U13 17 33 16 R:16, R +N: 48 r f' - ;~~ 24 23 71 F#F
35 24 31 1 Q R; 164 Fi J46 1 ,~4 44 d 5 25 21 101 R:76<1 Fi+.J t=1 25 2:5 23 11 164 R + hJ 48 l 1~ 164 E?+N 44 ~ . L, .X'i 32 il R: ~ C34 , I , N ~t 35 26 21 131 F3: 1 ~ ~ --R+ +1: 5 .fa B_t~; 4 r 26 22 131 R: 7 ~4 R + N 56 7 ?6 23 121 R; 168 R +N: 48 9 3 ~ ' 4 + N: 4B
6 31 7 2 R: 1 68 R + N: 4B
,'5 26 81 181 RrJ +N: E C
;j "~ 26~ 131 R: i9 + ~l 30 24 A1 f J ~5 :30 23 51 R: A + ~1. 35 30 24 +11 R~ 164 i + N: 4,,3 L 3 4 ~ 26 5~ F~= 1 ~~ 9 + ~ ~1 21 4' R: 1 64 N: ~t~
3 Ei 31 22 51 RE 16~ +N: 4'3 -+ W 44 ~ :-5 ql 27 5 H: I Fj-6 ~: 4 6 5 32 21 71 F- I F38 + N: w,t;
.
P' B L I~ ~+
R; 164 R rFv N: 56 6 R:1 64 E:"i + tV 48 1. 4 ~'~ 61 R; 1~4 R rf l'J, 48 35 32 25: ? R,164 R + N: '-~G
+
E:5 3 620 6 R:164 64 R +N i,A
35 36 21 r>' R. 168 H+N: 48 ~119 1~
....~. F~:
= ~ ~ 1 J R: i 64 ~i =~ ~l 56 F. '6 22 R:.164 R +N; 56 ~ 22 121 Fi> I riB R + N 4,,~
~ 1(~ ~F1 ..~ L _ 23 121 R + N: t -7_> -36 25 7L JR I R3 4 R + N: 56 96 Q R + "J t _... ,.. ~...~.~....~ , ~,. ,. _... ;

36 27 61 R + N; 18 h 35 36 30 9I]_ ..... _..... 1C, J Rar N: 43_. _ _ 191 R+ N:
j6 '? 137 C-~
P4 Ea _. ~.
h= ~ 35 36 6 R ~ W 56 h=r 35 37 20 164 F3 + N;: 4A
!64 9 + N: 44 4]
- . . , , _ ~ ...~.,~.~, _~.... w ,.~... _: ..
h=' J5 1,64 F + N:: 44 h=f 35 37 .~-5 1 64 R + N; 44 h- ! 35 3 7 ?e 41' 1: 164 R + Lq. 44 3,!7 ,~ 7 ~!.r) 1 OL? 04 h a5 11j.___,, r 164 R+N: +14 20 11 H; 16~ R + h6; 44 h~ _' '?7 iol R. 164 R + M.' 44 h-= 151 k, + PA:44 h==[ ::6 2 3'. 111 li: 164 R + f,I: 44 h== ! 36 2 31 14 Ft; 1 Q" R + W 44 P h1~44 h=- i 36 2 33 15 k + N, 44 h=! 86 3 21 13 1c. P + N. 56 h-:1 363, 322 121 1 z R:16' R +W 48 R -fN.
s; --'] 1- ÃU~ R + N= 48 L_f 3 44 16 P + N: 48 h = ~ 3 ' 3 2 5 16 El: 164 R+ N. 48 1 ?j 168 N
R, _t N fJ
h 6~..3 30 121 1~R + N 4 8 h-- : 3ft 3.31 1, 21 1C?l R +N 48 6 R,i N: 56 1~- S, 3.;2 161: s 168 R 4 N; 43 ~~.K
h- 36 10 111 h436 10.22 10 R: 164 R+ N; 44 h~m: 3 10 ~~ 11 !~:..1 t34 I~ + N~; 48 F ~uw4 -hW :36 1121 11 16 F Fj r~ rt: 4 4 h==f 36 11 22 101 ;'164 R + N: 48 h=L 36 11 30 11 1IR. 164 B + W 44 P N:4 h= 36 13 21 J , 168 ~ (~ 3 h 56 h=" 36 13 22 121 m 4? - I + Pd; 43 h- 36 13 22 13 -:Lõõ.1 R + N ~ 56 u' 13 23 12 R: 164R+;N: 48 4~
r~' 1=:! 31 12 -h: 16 1 f' + N: 48 13 31 131 R,'. 164 f, N; 56 1 7 32 131 R, 168 Ft - t;t',-6 1A~~~~~ riN= R
1 ~26 11 R: 1 64 F1 N I
36 14 31 15] R: 164 R+:N: ' s i- 3r; 14 32 141 Fr: 164 ; t N' 411 15 27 141 R: 164 k=i~ d B
=: 2h'~ 1 5 30 15 R,164 R + ~=~., 1 5 33 1 4 F3: 1 + N.. 1 !
''%17 1 P 1h.;p 1t 26 1,88-- f. 1tc1 ~~
LaQ 17 2~r 171 R:: 1 64 R + N: 56 36 17 27 161 R: 168 R+ 11: 48 [ '.?A 17 M_I j - L
_BL QA
1e' 31 161 R:168 1-1 36 17 31 17 R: 164 F1 + 56 Fi -~ ~~: 56 36 17 32 17 f~: 168 ( ?e--2: ~ = l? + ~~'~~
'?6 25 21....12 P; 164 4 N; 48 ~~ 25 21 131 R: 1 64 R + N: 56 ixl t_ ~'r; 22 131 F 168 R +N",: -6 i=- ~ '' '~1 '~ '~(~'' 1 t;" ri J
~~~ ;I_~= 32~~2 ~ I1..=:; Hg~..~ , ~..
F~ 1: 56 A ' 23 32 131 R: 1Ct +
25 33 121 R: 1 ~.i~1 F i= + P'": 48 +'iA 'a"1l P'1f?4 2 R 1la'1 k + N 1 J'> 2G 31 11 R; 164 R+ N
rA 2:6 32 101 R~ 1 64 R + ~~.; 41 h:l.. 7-2 I It : 11A.,~. P + .,..~" ~,... 'll ...
~_tl22 1(1 H, q 1, '1 R. '~N: 4 6 , 36 27 31 111 R; 164 R + N r::r:l 27 32 101 R : 1 64 Ffi ~ 1~4~ ,'+8 1 21 61 ~._....__H 1~
1- 36 31 21 71 R: 164 R + N:56 h~ r;1 22 71 R;' 1 F,8 Fl h;' ~i-t~l 11 ~5 .71 p= 1 i,q -R s'P~
l.~.. ,t::.. 31 L'd 6 hi:16 :kl h...-,'L.36 31 26 7 R'.: 164 R + N: 56 3 i 27 61 R.168 11..+ N: 48 h ~ 6 a1 ~ -4 ~ i W 48 ~n.,..
,-~ 3. 2 4 R 1 64 N; 44 1-1 36 .32 241 51 R: 164 + N: 48 ! =1_ a6._ 2 ti 4 R: 164 Ft + N: 44 ..:. ....
h E j ? _ 5 20 5 R , I rw -114 R+Na 118 h=r 3 33 25; 5t Cl 4 R + hJ s44 rx~4' [74 {~i 'y~ 4a . . . ...~
~
h-=~ 36 34 21 1 ti~'~ H + ha 14 h==C 36 34 21 1 1 1 164 R + N: 44 h=: 36 34 23 5 r; 1c 1 R -+ N: 44 } t + N= 4 h=[ 36 34 25~~ R' 1, N>1 h=:. 36 34 .26 51 164 R + N: 44 h 1 m - 3 C i 3 4 3~, j1 u..~ ~' A ~ t N. 44-h = 36 35 20 12 MR , : 161 i*NR 48 h=f wu 35 ~21 71 T 1 64 R + tVo 56 '3 h= 36 35 21 1: i68 N: 66 h- 36 35 22 1 i': 163 R + ('+1: 49 h-= 36 35 22 7 1 RÃ) R + N: a~~~ A
Z 1-1 x >u ~,~-h==C36 35 23 61 ~ ibi R rN:
h= [ K 35 24 6 i ~~.'163 R + h1: 48 h; 164 R + fV: 48 ,~ - ~-~
h = 35 26 R :i:: W 56 h ai= =;5 3a 131 6_4 R + Nr56 hmC 3# 35 '12 1 114 F'. +,,~+d= 48 ~ J ~ . .~ õ .. .
tlf-~
h 1>r1 " , ~.,'c ~ 1 =' R -F N:
_ . ... . h ' = L X , t ~ S 33 1 21 6 8 E=~ + hJ ~1 ~s ~ ~:.
h ' 37 2 2 ': 91 ~ . 6A R + h;lx 44 S tiY k B '!" N 4 h=: 3e14 ~ ~ R!._.h~1. 1~4 h= ~. 37 2 2 1' 151 1 64 R + N; 44 h' =37 2 30 11 i b xic 1 R -r fs1: 44 ti "7 2 3Q 1:4L " 164 F'; + P+' I

h,-[_ 32 101 tL E;I N, 11 h=: 37 2 32 151 T 164 R +N: 44 1 '10 1 1 cR + N: M
R -rI'!l; 48 h-- 31 3 23 1~ R + N; 48 h-f 37 3 23 1 i tiP, R + f+,l: 56 4 ,. 1:W 4 , .. ~ ..nõ~~' '~~' hrt- 3 ~' ~ ~ i 7 7 N: ; f~~ R r ~!: ,~a h=f 87 3 25 161 i;; ;6~) P +fUr 4~.ti h==l :17 3 27 171 i~. 1f;4 R + N: 56 h--[ ;17 q ?p,~~ F3 +-N -, -40 h- l~ 1+1, R r N: 56 114 37 3 30 1',' : 164 R +Na 56 h4 7 :3 31 12 I>= ,fi1 R + N" 4 3 h~ ~~ ~~ 1-61 11164 JR + N ~~58 h .~. ' 7 f-A }r ~~ I 1~! ~t8 r, N: af~
h= j,' d 33 17'. k: 1C-Pi R iil: 5<6 11= 37 10 20 111 R: 164 R+N: 48 911 1 r)l fi. ~kt~{ f"? ~ ~1 .44 h= J ,' 10 ti3 11 k 164 ~ N ~ E~J ~4 ;;s f7=137 10 33 1 Q F: 164 f; + N. 44 L)-- ~11 11~ R: 1~4 R + rl: 44 = 37 .11.. 23~~~ 4 N -- 48 h= 37 11: 31 1,11 Iq; 164 E-' + ItiJ; 44 h= 27 11 3:3 1D 'R; 164 R +hJ: 4Ã1 h- 3/ 13 22 12 H, 1 61t I 4+N: 46 h- ,37 1q P3 12 R ; 163 Ft +W' 4B
;fJ 1 ~~JQ4 F t N
~ ~~...1~ ~ ~ 1 64 I t 48 h= 3; 13 o '1 a 1 co] f=7 + Na 56 h= .17 13 31 1211 R: 168 R -h hl: 48 94 , f;'. 1 Rut Nf h=~ 37 14 25 151 k; 1Cd I~+ N: 48 h= 77 14 27 14 R: 164 R+ N: 44 h=~ :7 1 ,43<Q,,,,,1 5, fi' i~~, R+ PJ: 4 14 33 141 I;t 104 R-- N: 44 h= 3; 15 24 151 f;: 164 P + N: 44 h- 37 15 2 141 R: 164 R +N: 4'3 '7 f'" 1i,.1 h 15 32 14~ +
' 17 24 171 R 1 68 R +N: L=
I, 17 ~~ Fr 168 .,.. + : 4.
hL=A 1/ 27 163 14: 164 R + N= 48 ii' 2;e 17 R; 164 R + PJ;
h~-.? 17 2 Q 1~ R: 1P3 F1 +N; 48 ~_.
h-i ~~ ir" 1?~..~ -~ 1~>.~ ~ f r.J ~;r:.
h-- ~3i 17 31. 161 R; 16,11 Fi i ~,,I: 4 h=.[W.-7 17 33 17 R ; 168 R _F:...N' :;i..
~~mL 9 ~~. ~' rõ1' I, 1t,,~- I;+r-4 4, -h=~f a 1 : ~ . I 1 E : ; = 1 1 }? .ta N ';
h= 37 ~...= ~. 168 F1 + N ~1y ri; 1 69 -,R + N C, r _ ~..

3 a t 12" it 1'r_ 1 f; E N: '1e, h=~ 3 7 -1 121 R I R ~- N; 48 1~ R' 1~1=1 f i i'=1 ~,'~.
I~_;: ill R: 164 f,f 4.
213 '1 C1 n: 164 f? +'A: 46 h=f 2 7 t; :10 11 r: 164 I +- N' 44 1i4 P~ 2.1 11 l i 164 1; + N; 48 h=~ :17 ?3 101 R; 164 F; + N; 44 R. 1 64 Lr N: 4~3 ~L? 33 101 R: 1 64 + N: 44 ) ) 3 6? R; 1 8 + N; 4 + j 3 7 ';t-;_Pq_2j_E 04 56 ~.~. 3 t) 21 6' P; 164 + hl i4.9 3 0 23 71 R; 1 68 + N, 56 ~T 3 D 94& 7]

T'" 3 1 R: 1 64 + N; 48 - L11. .~ ,Q27 7 R: 14 t. 1. ...._~ 7 A 4~
- ( ;? i1' 2 22 4 R; 1 64 'd ; 48 37 32 24 5: R; 164 + W 44 ~ ~... ' ~r' 33 ~ R~~,1- * ~A~~ ~;~, N, 46 i-'37 33 2.3 41 R 164 F~+ iW. 4"
..~'r F k ~? .4 3 ~ 3 27 4 1 R 1 ~, 4 ri =h W 4-:
' 37 34 20 71 H; 1 64 ;-i + N: 5,~
27 34 20 121 R: 1 68 + N; 48 ~I~~ 9~x~ F~1~~
34 21 21 R; 164 +N: 48137 3 4 22, 61 R; 1 64 -R- N: 48 2t~'~ L-1C', P,._~. zf' ;'.74 23 7' h 1 N ; 56 3 f" 34 23 131 R, 1 CA ai + N: 56 +- I 31..., 94 R:..,1 63, 4 N. 4~9 4......,,.1.]~
i,r 34 25 61 IT 168 + N; -18 12 734 27 71 R 1 I' } Fi + Pel:, 56 r ? n ;r : 3p 13] P 164 1' *
~ 37 34 32 12 1, ;; N ; 48 37 34 3 0 121 R 164 R + N; 4B
i I~ ~4 1 r l 68 7 + w. r't:
2O4k; 1 0 l N: _____ }i= 3{ 85 20 i1 H; 1tL } 3-722 5 R; 1 Gj 1 J'-, ~ ~ W, 1 ~_ 1 rt + N: 4 4 5: R, 1 64 + N; 44 R:1 64 - + W 44 Table 1 is obtained by calculating combinations that satisfy the values of R and R + N from h=[h6r h5, h2, hl] through simulations.
After obtaining the optimal 1/2 rate encoders H that sustain the backward compatibility of the typical encoder, it obtains a relational equation between memories the input/output signals, which satisfy each of the H values at step S140. Finally, an encoder is configured to satisfy the obtained relational equation from step S140.
Hereinafter, a method for obtaining the relational equation between the memories and the input/output signals from H values in Table 1, and a method of configuring an encoder from the relational equation will be described.
Figs. 4 and 5 are views for describing a method for estimating an encoder structure from encoder combinations H in Table 1.
Fig. 4 shows encoder combinations h = [4, 34, 30, 4]
among the encoder combinations h in Table 1. Referring to Fig. 4, since hj is an octal number, h6 = 4 can be expressed as 00100 in binary number. According to Eq. 1, a relational equation for memories st4 and st3i input in, and outputs ot2 and otl are expressed as follows.
<relational equation of memories and input/output signal when h=[4 34 20 4]>
4~ 0 an~0 st4 + 1 st,~ ~ ~;? + 0 st, st~ 1 in + 1 st4 + 1 sk~j + 0 s1:2 + Ost, OtO 1 in + 0 14 +0 $C~ + 0 ~002 + 0 ~~l Otl O in + 0 44 +1 -#S + 0 $12 +0 Sti As shown in the relational equations, an encoder structure shown in Fig. 5 can be obtained from the relational connection between the memories and the input/output lines.
Fig. 6 is a block diagram showing an encoder for a dual stream transmission including the encoder shown in Fig. 5.
Referring to Fig. 6, the input data in is described as X1'. The dual stream encoder that encodes data by discriminating robust data and normal data, which is shown in Fig. 6, is well described in Korea Patent Application No. 2004-64306 entitled "Digital Television Transmitter and Receiver for Using 16 State Trellis Coding" filled at Aug 16th 2004 by same applicant. In Fig.
5, the output signals Zo, Z1i and Z2 and next states according to inputs are shown in Table 2 and Table 3.
Herein, a symbol mapping according to an output signal is identical to Fig. 2.
Table 2 Input Curr entS

tate Table 3 Input Curr entS

tate Until now, the 1/2 rate encoder in which single symbol transmits 1 bit input data is described. However, the present invention can be applied into a 1/4 rate encoder in which 2 symbols transmits 1 bit input data.

Hereinafter, a method for estimating a 1/4 rate encoder and the 1/4 rate encoder will be described.
Fig. 7 is a block diagram showing a 1/4 rate encoder in accordance with an embodiment of the present invention.
An encoder with a 1/4 code rate shown in Fig. 7 is a non-feedback convolution encoder having two memories.
Herein, the encoder with the 1/4 code rate denotes an encoder having a 1/6 code rate by connecting a trellis encoder with a 2/3 code rate and an encoder with a 1/4 code rate, which is used for estimating the 1/4 rate encoder.
The encoder having a 1/4 code rate shown in Fig. 7 can be obtained from a typical convolution encoder shown in Fig. 8.
Fig. 8 is a view showing a typical non-feedback convolution encoder having v memories and a 1/n code rate.
In Fig. 8, c1 denotes binary information inputted to an encoder at the first iteration, and v~') denotes an l'h output bit generated at ith iteration. C denotes an input bit sequence, that is, c= (..., c_1i co, cl, ..., cl, ...) , and v(') denotes ith output bit sequence. Then, Eq. 2 can be obtained.

V(O-&9W E q . 2 In Eq. 2, * denotes a convolution operation, and go= (gow ~ Therefore, an non-feedback encoder shown 0 ~gl ~...~gv) =
in Fig. 8 is generally expressed as g=[go'g1'...'gn-1~
V
Herein, g' gk') , and g' is expressed as an octal k=0 number.

The encoders with n = 4 and v = 2 in Fig. 8 are the encoder with a 1/4 code rate in Fig. 6. Therefore, an encoder combination G that satisfies a free distance condition of robust data and a free distance condition of a mixed stream is obtained from the encoders with n = 4 and v = 2. In the present embodiment, the free distance condition for the robust data is 108 to 692, and the free distance condition for the mixed data is 44.
In Table 4, R denotes a robust steam only case, and R + N denotes a mixed stream of a robust stream and a normal stream.

Table 4 ...... . _.
encoder R N+R

_..~ ._._. _.
._....~_.

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I ~ 4 41 504 44 g j 1 5 11 336 44 0=1 1 1 5 3~ 396 44 g = [ l 1 5 5:1 504- 44.
g= 11 1 6 11 328 44 i=.. g=11 1,,..-6 2) 376 44 g=11 1 6, 3).._.__ g 1 1 6 61 ~ ~~ 4.~
1 1 7 13~'~1 _ ..44 ~
36a T ~ 44 _..1 g 1 1 7 71 496 44 I
- 1. 1 2 2 21 326 44 1~g=~1 233] 396 44 g, 1 '2 4 31 c'.J4 9= { 1 2 4 41 376 44 g = [,l 2 5 11 208 44 ._.~_..._.~
. .. ... .... .. _[ 1~2 5 23 2,32 44 ,.,... _ g 1. 2 5 3~ 236 44 g= [: 7 2 5 5 ~ 40$ 44 0~11 2 6 31 ~~~r 44 9~ 2.~.~~. 44...:.:
g = 11 2 1 2l 232 44 1: 2.._..7 .~~ .. . 204 4~}
. ..............
g 1 ~ 7 ,~~___.... 368 44 o = ( .1 3 2 2) 832_~- -44 ~.._.. ~.~
2,64 44 t~ = L a q 111 304 s~ = [ ~ 3 5 51 268 44 Q=a 6.__~~ l 328 4 ... ..
...........
t' 21 204 .......... ...........
~ .
i 4 4 j ~ C
g- 1 ,1 3 4} 232 :.~

} 4] 33 6 4 g W [ f <1 5 ~~ 240 p 81 ~c).5 ,_ = sJ ; 5~

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C~4 T ~~ 240 4 g [ 14 7 204 44 ~
0 = L 1 ~~ ;t ~1] ~~~ 44 0 4 7 7 40(l __ .. _. , A~~
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1e.~ 6 ~~4 ..._.. . .. 1 fi C ,~~ 204 4 e, a'] 126 ~ ....... ~ . ~_<
fl L 1 ei 7 2 1 ~013 1 #i 7 -r'~ 4,.
44 - [ 1 7 5 21 2 ~)$

g ~ 17ra 6] 340 7 ;' 208mm L1 7 7 71 31? ~ e ~ L2 1 11J
2 12 21 36':) 44 ~. _~....._~
2 1 3 ~~ .~~.~

_... M._. _, .~.. _...~._ .~ ~_~
= L ~ 1 4 11 208 44 2 14 :~] ;78 44 2 1 5 11 ;?r~ 44 . ., ~=[21~~'] 44 . ...........
)i14 44 s.~ '' i ~r~ :a =.~
r~ """ L L~ 1 ~ ,!] r. ~~~='~i +p~F f y 7 {
9 - [ 2 1 6 6] 364 44 _.........~_ a~a[2 1 7 7] 304 .2... ~ - ,1 1 ~, ~4~~ ... '~3~ .. ....~
~ ~r...2] 328 44 ~ ~ I = [ 2_2 1 31 240 44 .,,.,.~.... ,...b si L 2 1]_ ;~~, 2 2 ?,1 115'"r', 44 [2 2 2 2.or, 44 __ ~...e.~
= [ 9 2 3 1] 7r~3 44 2 3 V6~
~1=I='~~~] 1Cr2 44 ~...._ ~~. _ 2 4 11 ,3t; 44 ~ 2 2 472, ,~ 3 'F8'- 4-4 [ 2 2 4 31 300 44 g=L2 2 941 191 44 ~.~....~~.._ ?~~1~~ ~.6 _.~
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t ~ 4 _.__.._ ... _ - [ 2 7 3] !:a 44 ~=[2 2 f fa ( 4vG 44 2 3 2 21 344 C} 44 ._..... ..... .~~.~,ed__ ......_._..... _...
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[2 t 1 4l A7_....~., 44 ~ a[
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2 .e. . 61 ....
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2 '1 1 f, 1 2 GA .44 ,_ ,~,. ~.....__~......._............~~~_~
~ - 2 4 3 +; ~ 236 44 r~ ...: [ 2 4 4 1] ~100 44 s~ .... 2 4 4 41 a -.' 8 44 .. ~....E

3] 204 44 ..~.... _ _ ~ ~._ ~_..,.,..._ _ ~_ '.i 4~ 203 '14 fI C .f r.....y~ ~7=i ti ~ W 5 la} 23~-.
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g [ 2 4 a' f ] 336 '1 _..... .,.. ~.~......
g -l ,. ~1 4] 300 rl ~l ._._.._ . -.,w g26661_ ~,~,;~ 44 2 5 7 7~f 2 ,.rT 44 ~I=[2644] 2 44 = L 26 5 61 3,3 2 44 mm ~ -T -2-G e~ 2 64 44 ~. ~. _.
a......... ......_.... ~....I...I . __..... .....~.~._--.-.....
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~ = [ 2 6 7 .2] 204 44 n_.__e..._..._ ~a - C ~ 6 7 71 372 44 ....._...._.._ ~._.w...W ......... .._.._....... ._. _............
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~ = C 2 7 3 41 208 44 ... ............. _...... _... ...... -- ................ . .............
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<~ . 7 4 4j 312 44 ~.. ~....

~
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ski 44 [ 3 2 dj~l ?
rg-=( a2 55~.._~ 44~8..._... ~......~4 ",?36 , 44 ;; -.
z = C ,1 2 ~. k~] 332 4J . ~ ,7 ] 3? f 3 2 r ' ~] l-~C~ "X''~ .. Ã
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:
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8 5 5 11 ~148 ..:.. - - ,....~ .....,.,,.,wwu ~ .....u;
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r ~.~ a' 5 2 ] 208 +1 ~ J 7 ? A] 1 ~~ 44 --Q=[375 5] 3'2 _ 44 _ ~ .~.
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~ - [ 4 a 4 4~ 3010 44 _.~.
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r, 7 4f ~il~ 44 ... ...
4 5 , /) IJU'3 44 ....
g [ 4 6 1 . .........
9 C4 6 5 ~j] 3tV 44 -6 ~..-.~..~mm~.
~~ c.4~4..~ 44 4 6 i ~ rr.~ 44 4 r 4 41 44 '=~ f 4 7 5 5] ..~ 31 . 44 ~.~g ...
. . .~ 312 44 33~a _ ~~AA
g = [ 5 1 1 2] 200 9 = [ 5 1 2 1 2 0,1;
~ C a 1 2 21 3'~fi 44_...~~
~j 2 4,1.~.~.~~
1 3 11 2,3 2 44 _ ~ = [ 5 1 3 2.l ~~~1~ 44 ~
~~= [ 5 1 3_~1_ 44 5: 1 3 41 2&0 ,,1~1 9~ C51 ~ 5, =.~?

.~ ~~ ~.~....~ ~. ..._...~~ ,w..,.....~
~ = C 5 1 4 3] ?04 44 _~. __......
~1 = [ 5 1 4 41 363 44 [5 1 55]~I ~~~ 44 6...1:7 ~ - [ 5 ty r 1 20e, {I'1 = [ 5 6 r 14 ._ .~_C) 1 7? 4"~ .......
.....
g . ~ 61] 1 r'r~_~ _me_~.md~
,~i 7 1 ] .3J4 F
~ l5 7~6 ~I - [5 1 7 ,3.~ 204 44 = C 5 1 7 4.] 200 44 ~7 L r. 1 ~ M #:;; ] ~ =~;~' =~~1 ,.....~ ~ 1~.... -1 -,7 7,] .. 336 ) (,.~ r'. 1 1]-~. _,..,...... ........__ -1= L 5 2 1 ] 232 44 ~_-.__....-.. ~....
1 76 44.......
_~ ........
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~ 3~ 44 ~.. ~ ...
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~ ~ 3 Tj ~~..~
~& 2 4 11iiO
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c~ " ( 5 ,, .} 208 q[~3 431 1ol i, 44 g, 5 3 5 ~~ 240 44 ~144 _ 44 ~- ..... .....w:.
ta t) 144 ~~

~.. ..._~., g = [ 5 3 6 i 1 23k3 ~l4 g [5 ~ ~a 21 ~'.:~i~ ~ 44 _.
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. ......
....
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5 4 4 41 ..__~ ,~~ 4 4_.
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4 , +] ~w4 ~ ,.~,~,.._ .......
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.........., ......... ....~.._ .......w.......A
i et 1 41 .7_, 3Cl_.__m., .236 +
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= [ 7 4 4 61 g ."r'2 ; -[7 4 14_ ....._...~
7 4 j ~ 2i,~ _. 4, 1 5 21 2 i2, d ~
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0 = r 7 6 _._._._.~ - -, 7 21 C'4 7 aa 4 31 168 Ar 6 4,, 41; 3:32 4.;:
~-r7 6 4 161 7 6 4~~ 1149 ~
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.r' _~'a_2~ ~0 4 4-4 = [ 7 u 6 '1 6 ti 14 ~~ ~ ~~~ R; _r=,1 t,~~~ 4, 1 ~~[7~7 I~ ,72. 44 ~ - [ 7 6 7 21 13 ti - 44 f '~ -44 ~ [? f: i 37r..7~4 _ .... ~. ..
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..
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g = [ i 7 3 1: 1 :336 mm4 4 +~ = [ 7 7 3 21 336 44 _.__ _... .,.õ
0 = 7 7 3 3 5Ã1~ ,~,~4 g = ~ 7 7 3 ~~ 304 44 (7 0 8 ...~ 44 7 a 44 _ .......... ~ ~.
41 ~ l ,;i ~ 114 = C V ~ 4 W_._~ e, B 44 7 7 4 31 37? 44 g=[ 4) T9 6 44 ~ [ f' d 4 2A 41 +7 [ 7 -1 3OR 44 7 4 p 14 a 9, 7- 5 21 10 ' 44 7 7 Ci ;i ] I.; t; 44 _ .
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~ - [ 7 7 6 31 1~J,1 44 ~ - [ 7 7 ~ 41 ~3i74 44 _ ..e__.... . .a ....................... .e.._..
o [ 7 7 6 51 2r'6 44 ............... .~- .. . o____.~ . ..... ......... -g= [ 7 T 6 6] 50C, 44 am [ 1 7 6 7E 31 4:4 .~ J. 777 1. t1' _.._a "~'~'~ 44._ ~1 - [ P 7 7 ~ 1' _e. .._ ~.
y 0 -9 id~... 3 7 7 1_ 304 44 7 7 '7 51:~ 308 44 ._~..~~~ ....
~=[ 7 7 7 6f 308 44 Fig. 9 is a block diagram illustrating an encoder having the largest free distance for a robust stream among encoder combinations described in Table 4.
In Fig. 9, the encoder (a) is an encoder expressed as g = [5 5 7 7] by the non-feedback encoder expression method of Fig. 6, and the encoder (b) is a typical 8-VSB
encoder. The encoder (a) is an example of an input/output connecting relation decided by Eq. 2 when g = [5 5 7 7]. The output of the encoder (a) is inputted to the encoder (b) with being divided into two outputs as shown in Fig. 9. Also, the encoder (b) is operated twice faster than the encoder (a). That is, the memories of the encoder (b) are operated twice faster than the memories of the encoder (a).
The above described method according to the present invention can be embodied as a program and stored on a computer readable recording medium. The computer readable recording medium is any data storage device that can store data which can be thereafter read by the computer system. The computer readable recording medium includes a read-only memory (ROM), a random-access memory (RAM), a CD-ROM, a floppy disk, a hard disk and an optical magnetic disk.
The present application contains subject matter related to Korean patent application Nos. 2005-0065396 and 2006-0052548, filed in the Korean Intellectual Property Office on September 19, 2005, and June 12, 2006, the entire contents of which is incorporated herein by reference.
While the present invention has been described with respect to certain preferred embodiments, it will be apparent to those skilled in the art that various changes and modifications may be made without departing from the scope of the invention as defined in the following claims.

Claims (16)

1. A method of estimating an encoder for dual stream transmission, comprising the steps of:
a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data;
b) obtaining 1/2 rate encoder combinations that sustain backward compatibility with a typical trellis encoder;
c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the 1/2 rate encoder combinations;
d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; and e) configuring an encoder according to the obtained relation between the memories and the input/output signals.
2. The method as recited in claim 1, wherein the number of memories is four.
3. The method as recited in claim 1, wherein the 1/2 rate encoder that sustains backward compatibility with a typical trellis encoder satisfies an equation:

where st4, st3, st2, and st1 denote states of memories, ot2, ot1 and ot0 denote outputs of an encoder, in denotes an input of encoder, and h j is an octal number.
4. The method as recited in claim 3, wherein h4, h3, and h0, are fixed as 1, 6, and 1, respectively.
5. The method as recited in claim 1, wherein the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
6. An encoder for dual stream transmission comprising:
an input terminal;
three output terminals;
four memories connected to the input terminal and the output terminals to satisfy an equation:

where st4, st3, st2, and st1 denote states of memories, ot2, ot1 and ot0 denote outputs of an encoder, in denotes an input of encoder, and h j is an octal number.
7. The encoder as recited in claim 6, wherein h4, h3, and h0, are fixed as 1, 6, and 1, respectively.
8. The encoder as recited in claim 7, wherein the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
9. An encoder for dual stream transmission, comprising:
a non-feedback convolution encoder having two memories, where a code rate thereof is 1/4; and a trellis encoder having two memories operated twice faster than the memories of the non-feedback convolution encoder and alternatively receiving outputs of the non-feedback convolution encoder, where a code rate thereof is 2/3.
10. The encoder as recited in claim 9, wherein the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
11. The encoder as recited in claim 10, wherein the non-feedback convolution encoder is an encoder combination G satisfies an equation:

v(i)=c* g(i) where * denotes a convolution operation, and g i is expressed as an octal number.
12. A decoder for dual stream transmission comprising:
a receiving means for converting a receiving signal to a base-band signal;
an equalizing means for deciding a symbol level of the receiving signal; and a decoding means for decoding the decided symbol level to a data symbol, wherein the data symbol for a symbol level and the next state are decided by an encoder combination H in which the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
13. The encoder as recited in claim 12, wherein the symbol level and the next state for decoding the decided symbol level to a data symbol are shown in below tables:

14. A decoder for dual stream transmission, comprising:
a receiving means for converting a receiving signal to a base-band signal;
an equalizing means for deciding a symbol level of the receiving signal; and a decoding means for decoding the decided symbol level to a data symbol, wherein the data symbol for a symbol level and the next state are decided by an encoder including a non-feedback convolution encoder having two memories, where a code rate thereof is 1/4; and a trellis encoder having two memories operated twice faster than the memories of the non-feedback convolution encoder and alternatively receiving outputs of the non-feedback convolution encoder, where a code rate thereof is 2/3.
15. The decoder as recited in claim 14, wherein a free distance condition for robust data of the decoder is
16, and a free distance condition for mixed stream of robust data and normal data is 44.

16. A decoding method for dual stream receiving comprising the steps of:
a) converting a receiving signal to a base-band signal;
b) deciding a symbol level of the receiving signal;
and c) decoding the decided symbol level to a data symbol, wherein the data symbol for a symbol level and the next state are decided by an encoder combination H in which the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
CA002616067A 2005-07-19 2006-07-19 Optimal encoder and encoding method for dual stream system Abandoned CA2616067A1 (en)

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
KR20050065396 2005-07-19
KR10-2005-0065396 2005-07-19
KR10-2006-0052548 2006-06-12
KR1020060052548A KR100706608B1 (en) 2005-07-19 2006-06-12 Optimal encoder and encoding method for dual stream system
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