HAL Id: inria-00074096
https://hal.inria.fr/inria-00074096
Submitted on 24 May 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Flip-Flop Nets
Vincent Schmitt
To cite this version:
Vincent Schmitt. Flip-Flop Nets. [Research Report] RR-2587, INRIA. 1995. �inria-00074096�
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Flip-Flop Nets
Vincent Schmitt
N˚ 2587
juin 1995
PROGRAMME 2
"!$#%%&
')(+*","(.-0/1/32465 7-8:9<;=8?>A@/BC*D8FEHGI;2KJIL=(M*",D(N-/1/O-0P+EF*DQ12PR, S2QEF28F*D,"EH9<EF28
')(M*"TU2PWVEH9-">
XW-0L=LC*D(MPY2Z(+29N[2(N9N[2\Q^]4"_D`Ia5 TU;EbQcdDd"_e5 cfeLg-0,"2h>
i1jlk<mnop"mrq3st[2W>A*Du9-8F8b2Yv>A@QwP+[2>UE:>L(+*"B8b2/\xy*"()Q=2PN>zR[=E:9N[9<*"Q >UE:>UPN>EbQYw29<EHYwEFQ,
zR[2P+[2(W-v,"EF{r2Q-;PM*D/O-0P+*"QOE:>tEH>A*D/1*"(+L[E:9WPM*PM[2^9-D>A2,"(.-0L[*x$-vQ2PW-Q Y|P+[2Q
9<*"Qg>APM(+; 9<P+EFQ,}P+[2Q=2P~[g-">~B 22Q>A*D8F{r2Y}xy*"({"-(MEb*"; >~PU@L 2*0x^Q2PN>v(N-0Q=,"EFQ=,xy(M*D/
28F2/12QPN-0(+@Q2PN>1P+*'2P+(MEQ=2PN> st[*";,D['tsQ2PN>-DYw/1EbPN>~L *"8b@wQ=*"/1EH-08P+EF/12
>A@QwP+[2>UE:>)-8F,"*D(MEbPM[/O> J"PM[=2>U@wQPM[2h>AE:>lL(M*DB8F2/xy*"($28b2/12QP+-0(M@Q2PN>)EH>wQ=*0zRQPM*B 2
')u9 *"/1L8b2PM2KWLL8F@EFQ=,PM[2WL(+EFQ 9<EbL8F2R*xl,"2Q=2(N-8FEF2Y(M2,DEF*DQ >EbQ[2(+EFPM2hYZxy(M*"/P+[2
'tsQ2PN>?(M2L(+2>A2QwP.-0PMEb*"QP+*P+[2$B *r*"8F2h-0Qv>U2PMP+EFQ,R,DEF{r2>(+E:>U2)PM*R EFL=u *DLQ2PN> )st[2h>A2
Q2P.>v-0(M2->A8FEb,"[P,D2Q2(.-08FEb-0P+EF*DQ}*0xW28b2/12QPN-(M@Q2PN>^-0Q Y-DYw/1EFP.>-LC*D8F@Q*"/3E:-08
PMEb/12>U@wQPM[=2>AEH><
r?M^ nk"q2PWr@QwP+[2>AEH><J 7$*"Q YwEbPMEb*"Qh ¡{r2QwPW2PN><J XR2,DEF*"Qg><J 8b,"*"(+EFP+[/O>
¢:£v¤
¥§¦U¨©
¤
¥ª«b¦U¬®N¯
°?±²´³?µ¶ ·®¸Rµº¹»³?¼D¹N·®½y¾´¿W³®À¼¼"¶ ·y½®Á+ÂÿW½®±Á$Ä·®ÁUÅDÆ®±vÇ$ÈÊÉËÈÊÌËÈIÍ^ÎMÏÐ
¥AÑÒ¥§¦¥§«ÓÕÔÖ¥A¨¬.¥§¦
×+ØÙ
¹N²´¾:ÚNÛl²´ÅDƧÁUŽ+ÜÞÝÆ®±
Ù
²´½®½Öß²´·y²´³Ö¹0ÜàF·
k}q 2vL(+*"B82/12^Yw2>U@wQPM[2h>A2vY2v(S2>U2-0; GI;=E)9<*DQ >AEH>AP+2-1YtS29<EHYw2(WL *";(
;Q3-0;P+*"/O-PM2WYw*DQQRS2>! ÊEb89 *"(M(+2>AL *DQ Y1-0;,"(.-0L[=2Yw2R/-0(NGr; -,"2WY" ;Qv(=S2>U2-0;2P$Y=-0Q >
8# Ò-%$3(M/O-PMEF{r2 Yw2v9<*DQ >AP+(M;Eb(M269<2(=S2>A2-;2>UP(=S2>A*D8F;L *";=(YwEF{r2(N>A2h>R9<8:-D>M>A2h>Yw2(=S2>A2h-0;
-08b8:-0QP$Yw2h>(=S2>U2-0;&}S28S2/12QPN-EF(M2>?-0;&(=S2h>A2-;vYw2Ë'2P+(MErrE8H->A@QPM[2>U2RYw2h>(=S2>U2-0;&
Yw2v'l2PM(+El-"Yw/12Pt;Q26>A*D8F;P+EF*"QL *"8F@Q*D/1E:-8F2rJ=9<28F8b2Yw2>t(=S2>A2h-0;%S28S2/12QPN-EF(M2>$- 2P=SS 2
L(M*D;{S22^')u9<*D/1L82PM2r'2> (=S2>A2h-0;-Bg-">M9 ;8F2>R>U*"QPREFQPM(+*Yw;EFP.>t2Q-0LL=8FE:Gr; -QwPR8b2
L(MEbQ 9<EbLC2Y2>(=S2,"EF*DQ >, S2QËS2(N-8FE:>S22>R[RS2(+EFP=S2h>Yw2>(=S2>A2h-0; Yw2'l2PM(+E)-;}9-D>BC*r*D8S22Q?
7$2>?(S2>U2-0;>A*DQwP -0;g>M>AEr;=Q2$,)S2QËS2(N-08bE:>+-0PMEb*"Q^Yw2>(=S2>A2h-0; 28SS 2/12QwP.-0EF(+2>w2Pl-DYw/12P+PM2QP
;Q26>A@QwP+[(2>A2LC*D8F@Q*"/3E:-08b2r
)gmhk<Np+*,q r@QwP+[(2>A2 Y2(=S2>A2-;ÕJt(=S2>U2-0;&%9<*"Q YEFPMEb*"Q >NºS2{S2Q2/12QPN><J)(=S2,"Eb*"Q > J
-08b,"*"(+EFP+[/12>
W
)[(M2Qxy2; 9N[wP-Q YX *D2QB 2(M, EFQPM(+*Yw; 9<2YEFQÊ $Xd! RPM[2 9<*"Qg9<2LP*0x^(M2,"EF*DQ >vEFQ
>AEb/1L8F2O,D(N-0L=[ >18:-0B 28b2Y *DQ%-0(.9><Rst[=2EF(3-0Eb/ zË-">1PM* ,"EF{r2 -}9N[ -0(.-"9<P+2(MEb-0P+EF*"Q*0x
,"(.-0L[ >vPM[g-0P*99<;(v-D>v9-">U21,"(.-0L[g>e*xW28F2/32QwP.-0(+@|Q=2PN> "Q}PM[=2EF(^>AP+; Yw@rJl(M2,DEF*DQ >
*0x -L -0(+PMEH9<;8:-(,D(N-0L=[ -(M2O>U2PN>*xW{r2(MP+E:9<2h> zR[=E:9N[}-(M2O2EFP+[2(2QPM2(+2Y*"(v2EFP+2YJ
*"(8F2<xyPEbQw{D-0(+E:-QwP^Bw@-8F8Ë-0(N9>zREFPM[EHYw2QPME:9-08$8:-BC28l (M2,DEF*"Q/O-@B 2>A22Q-">-
L(M*DL 2(MPU@3>M-0P+E:>$# 2Y~2=-"9 PM8F@^Bw@PM[=2{r2(+PMEH9<2>EbPt9 *"QPN-0EbQ ><7$*DQw{r2(.>A28b@rJr-{r2(MP+2v/O-@
B 2(+2L(M2h>A2QPM2Y;Qg-0/BEF,D;*"; >U8F@B@PM[=2W>A2P)*xÕ(M2,DEF*"Qg>EFP)B 28b*"Q,K>)PM*JDEx P+[2(M2R2 wEH>APN>
xy*"(W2{r2(+@~L -EF(R*xYwE:>UPMEbQ 9<PR{r2(+PME:9 2>$-e(+2,"Eb*"Q>U2L -(N-0P+EFQ,PM[=2ZLg-0EF(Wu)EÖÊ2r=9<*"QPN-EFQEbQ,
2=-"9<P+8F@*"Q2*0xÕPM[=2tPUzt*{r2(MPMEH9<2> *z-8F8=-0(N9>zREFP+[vPM[2Ë>M-0/328H-0B 28=9-0(+(M@^PM[2Ë>M-0/32
9»[g-0Q,D2>t*0x L(M*DL 2(MP+EF2>-0Q Y-8:-0B 28Õ/O-@vB 2(M2L=(M2>U2QwP+2Y1-D>tPM[2/;P+; -08ÕYwE%2(M2Q 9 2
B 2PUzt22QP+[2 (M2>ULC2h9<PMEb{r2>U2PN>1*xvL(+*"L 2(MP+EF2>1zR[EH9»[%-(M2 >+-0PMEH>&# 2hY B@ P+[2}>U*";(.9<2
-0Q YPN-(M,D2P{r2(MPMEH9<2>t*xR-Q -0(+BEFP+(N-0(+@-(N9ZzREbPM[P+[ -0P8H-0B 28Ö st[E:>(+2L(+2>A2QPN-PMEb*"QEH>
;Q -/~BEb,";*D; >)Yw;=2RPM*>UEF/1L8b2Q2>+><J-0Q YvEFP >A;L=L8FEb2>2Q*D;,"[Y=-0PN-xy*D()(M29 *"Q >UPM(M;g9<PMEbQ,
PM[2^,"(.-0L[Exlxy*"(W2-"9N[O8:-0B 28l-Q Y2-D9»[O{r2(+PM2*"(+EF,"EbQ -0P+EFQ,Q*3-0(.9 zREbPM[PM[ -P8H-0B 28J
PM[2(M22 wEH>APN>W-v(M2,DEF*"Q 9<*"QPN-EFQEbQ,3-08F8lPM[=2*"(+EF,DEFQ >R*0xPM[=2v-0(.9>RzREFPM[PM[ -P8:-B 28B=;P
Q*"P9 *"QPN-0EbQEFQ=,PM[=2O9<*"Qg>AE:Y2(M2Y{r2(+PM2u>A; 9N[-O(M2,DEF*"Q E:>>+-0EHYPM* >U2L -0(.-0P+21PM[EH>
{r2(MP+2xy(M*D/ PM[23,"EF{r2Q8H-0B 28lst[23>A*Du9-08F8b2Y(+2,"Eb*"Q -8R- EF*D/O>>AL 29<Exy@PM[2h>A2PAz*
YwE'%Õ2(+2QP~(+2GI;=EF(M2/12QPN> xy*D(O>A2L -0(.-0PMEb*"Q%B 2PUzt22Q{r2(MP+E:9<2h>v-0Q Y B 2PUzt22Q {r2(+PMEH9<2>
-0Q Y18H-0B 28:>t*x$-(N9> )(WEF{r2QO->UEF/1L8b2,D(N-L[O8:-0B 28b2Y~*DQ-(N9> Jw/O-@vB 2^Yw2(+EF{r2Yxy(M*D/
PM[ -Pt,D(N-0L=[-Q~28F2/12QwP.-0(M@Q2PzREbPM[*"Q2L8:-D9<2L 2($(+2,"Eb*"QO-Q Y~*"Q=2P+(N-0Qg>AEFP+EF*DQ1L 2(
8:-BC28J -0QgY|zREFP+[1 *z\(M28H-0P+EF*"Qg>R>A2PW-D99<*"(.YwEFQ=,~P+*~P+[2/~;P+; -08ÕYwE%Õ2(M2Qg9<2>tB 2PUzt22Q
>A*D;(N9<2^-Q Y~PN-(M,D2PR{r2(MP+E:9<2h>E:Yw2QwP+E'# 2YvzREFP+[O>A2PN>*xlL8:-D9<2> Jw*"(/O-0(+wEbQ,r> st[29-D>A2
,"(.-0L[*xPM[2Q2P-D>M>A2/~B8b2YEbQ PM[=E:>vzR-@}E:>vE:>U*"/1*D(ML[=E:9~P+*P+[2,DEF{r2Q,"(.-0L[Ex
-0Q Y*"Q=8F@Ex$PM[=2v,"EF{r2Q,"(.-0L[ E:>-0Q28b2/12QPN-(M@PM(N-Q >AEbPMEb*"Q >A@=>APM2/JzR[E:9N[/32-0Q >
2>M>U2QPME:-8F8b@~P+[ -0PWEFPË>M-0P+E:>$# 2>RPM[2PUzt*v(+2,"Eb*"Q -8l- EF*"/><
"PE:>zt*"(+PM[}Q=*"PMEbQ,PM[g-0PEbQ9-D>A21zR[2Q}PM[23,"EF{r2Q,D(N-0L=[ EH>-08F(+2-"Y@P+[2O9-D>A2
,"(.-0L[*0x -Q2PJ?PM[2O-B *0{r29<*"Q >UPM(+; 9<PMEb*"Q}L=(M*Yw; 9 2>v->M-PM;(.-0PM2hY {r2(N>AEb*"Q *0xPM[ -P
Q2PJCzREbPM[2 wP+(N-vL8:-D9<2>RB;PW;Q 9N[ -0Q,D2YB 2[ -{EF*";=("Q*,+XdD4! J+2h>A28 -0Q YXR2EH>AEF,
*"B >U2(M{r2hYPM[ -P*DQ2~/-h@*"LP+EF/1Eb2vPM[=219<*DQ >AP+(M; 9 PMEF*DQ}B@ 9<*"/1L=;PMEbQ,TU; >UP2Q*D;,"[
(M2,DEF*DQ >EFQPM[=2v,"EF{r2Q,"(N-L[ PM*O2Q >U;(M2vP+[2v{D-08FEHYwEFPU@O*0xËPM[2v(+2,"Eb*"Q -8$- EF*D/O><.-*"8bu
8F*zREFQ=,|P+[E:>*DB >A2(+{D-0PMEb*"Q0/t2(MQg-0(NYEFQ28b8F*L(M*{r2YP+[ -0PP+[21>U2P*xR/1EbQEF/O-8?(M2,DEF*DQ >
1
z(ÊP)>U2PEbQ 9<8F;g>AEF*DQ32EH>-DYw2Gr; -0P+2xy*D(vPM[ -PvL;(+LC*K>A20/t2(Nd!4 l2{r2(MPM[=28F2>+><JP+[2
L(M*DB8F2/ *0x¡Yw29<EHYwEFQ=,vzR[2PM[=2(RPM[2 >A2L -(N-PMEF*DQ- wEb*"/O>-0(M2^{D-08FEHY~EFQ-v,"Eb{r2Q1,"(.-0L[
E:>R')uÖ9<*"/3L8F2P+2 ,/ / +d"_B
st[2Ë9<*"(+(M2>UL *"Q Yw2Q 9<2tB 2PUz22Q28F2/12QPN-0(+@RPM(.-0Q >UEFPMEb*"Q6>A@=>APM2/O>?-0Q Y28F2/12QwP.-0(M@
Q2P>A@=>AP+2/O>)E:>$-Q1EFQ >UPN-Q 9<2W*0x?P+[29<*"Q 9 (M2P+2Yw;g-08FEbPMEb2>B 2PUzt22Q~P+(N-0Qg>AEFP+EF*DQ1>U@>UPM2/O>
-0Q YQ=2PN>2>UPN-B8FEH>A[2YEbQ ,/ +d"_4 st[*K>A2Ë9<*"(+(M2>ULC*DQ Yw2Qg9<2>l-0(M2ËYw2# Q=2Yxy*"( -0(MB=EFPM(.-0(+@
PU@wL 2>*xQ2PN>RB@|{D-(M@EFQ,1P+[2v9 *"Q 9<2LP*0x¡(M2,DEF*"Qg>-0Q Y -"Y=-0LP+EFQ,O-D99<*D(NYwEbQ,"8b@|P+[2
>AP.-0PM2/12QP)*0x PM[2WPUzt*6>A2L -(N-PMEF*DQO- EF*D/O>< -*"(EFQ >UPN-Q 9<2rJrEFQPM[=29-">U2*0x 'ths Q2PN> J
(M2,DEF*DQ >)EFQ-,D(N-0L=[/-h@B 2WYw2#gQ2Yv-">)/1*D(ML[=E:>A/>Cxy(M*"/ P+*PM[27-@8F2@,"(.-0L[
*0x)J$(M2L(M2>U2QPMEFQ=,,$u®{D-8F;2Y L=(M*"L 2(+PMEb2>~*0x^{r2(+PMEH9<2>EFQ EFQg>APM2h-"Y *0x^B *r*"8b2-0Q
L(M*DL 2(MP+EF2> "XR2/O-(MD-0B8b@rJNPM[EH> 8b2-"Y=>PM*L *"8b@wQ=*"/1EH-08r-8F,D*"(MEbPM[/>Cxy*"(lPM[2>A@QPM[2>UE:>?*0x
B *";Q Y2Y1'tsQ2PN>lzREFPM[/O-(MEFQ,W,"(.-0L[E:>U*"/1*D(ML[EH9P+*-,DEF{r2Q^,"(N-L[ ,/ / +d"_D-
st[2OL;=(ML *r>U2*0xP+[E:>vL -0L 2(E:>vPM*# 8b8REFQ P+[2O,r-LBC2PAz22Q28b2/12QPN-(M@Q2P.>
-0Q YO'tstuyQ2P.>-D>t(M2,K-0(.Y>tPM[2 9<*"/1L=8F2EFPU@*0x PM[2 >A@QwP+[2>AEH>L(+*"B8b2/r-0/128b@rJzt2
>A2-(N9N[Zxy*D()-9 8:-">+> *xÕ9<*DQ YwEFP+EF*DQ2{r2QwP?Q2PN>?zR[E:9N[^9<*"QPN-EFQ >?PM[2Ë9<8:-D>M>?*0x 28F2/12QwP.-0(M@
Q2P.> B;=PQ2{r2(MP+[28F2h>M>C,DEF{r2>zË-@ZP+*L *D8F@Q*"/1EH-08>U@wQPM[2h>AE:>?-8F,D*"(MEbPM[/><st[2>U2$Q2PN> J
9-08b8F2YEbQP+[23>A2Gr;28gEFLu: *"L Q2PN> J?-0(+21PM[=2vBC*r*D8F2-Q9<*";QPM2(ML -(MPPM*'ts Q2PN>
xy*"(PM[=2>A2Q2P.><J(+2,"Eb*"Q >EFQ -1,"(.-0L[ -0(M22>+>A2QPMEH-08F@O/1*D(ML[=E:>A/>Ëxy(+*"/P+*|P+[2
7-@w8b2@,"(N-L[1*xP+[2RB *r*"8b2-0Q,"(+*";LÕrst[E:>l8F2-DY><Jr-D>)zt2R>U[ -08b8 >A22rJ"PM*LC*D8F@Q*"/3E:-08
>A@QwP+[2>UE:>R-08b,"*D(MEFP+[/O>tB 29-; >A23E:>R-08H>A*3-e(+EFQ,=
rEbQ 9<2zt2~xy*9 ; >e*DQYw29<EH>AEF*DQ}-8F,D*"(MEbPM[/><Jz2O9<*DQ # Q21*D;(-0P+PM2QPMEb*"QPM*#gQEFP+2
,"(.-0L[ >O-Q Y #gQEFP+2Q2P.>~EFQPM[2(+2/O-EFQEbQ,*0x^PM[=2L -LC2(Jt*D(M,r-QEF2Y-">exy*D8F8b*0zW>
r29<P+EF*DQ4|EbQwP+(M*Yw; 9 2> EbLu: *"L}Q=2PN>^-0Q Y}PM[=2~P+2(M/1EbQ*"8b*",D@rr29 PMEF*DQ >UPM; YEF2>-0Q
-"Yw2hGI; -PM2^9<*DQ 9<2LP*0x (M2,DEF*DQ >xy*"(t EbLu: *"LQ2PN>-0Q Y>A[*zW>tP+[ -0PW9N[29NwEbQ,{D-08FEHYwEFPU@
*0xP+[2 >A2Lg-0(N-PMEb*"Q- wEb*"/O>~z(P1PM[2h>A2(M2,"EF*DQ >
1
EbQ\- # QEbPM2,D(N-0L=[321(+2Yw; 9<2h>P+*
>A*D8F{EFQ,# QEbPM218bEFQ2-(>A@=>AP+2/O>Z*{r2(^PM[2OB *r*"8b2-0Q(+EFQ,=$8FP+*",D2PM[2(PM[=E:>vL(M*{E:Yw2>
-1LC*D8F@Q*"/3E:-08¡-08F,D*"(+EFPM[=/ xy*"(P+[2>A@QwP+[2>UE:>*xt EbLug*"L Q2PN> ?>A[=*"(MP^9<*DQ 9<8b; >AEb*"Q
9<*"/3L8F2P+2>P+[2L -0L 2(
}
"Q1PM[EH>t>U29<PMEb*"Q1z2 # (.>APtEbQwP+(M*Yw;g9<2 EbLug*"LOQ2P.><JrPM[2Q1zt2(+29-8F8 PM[2B -">UE:>t*0x 'ths
Q2P.>v-0Q Y}zt2/O-r21-OL -0(.-08F8b28tB 2PUz22Q PM[21PUz*|xÖ-0/3EF8FEb2>*xQ2PN><J >A[*zREbQ,PM[ -P
EFL=u *DLQ2PN>R-0(+2P+[2BC*r*D8F2-Q9<*D;QPM2(+L -0(+P*x$'ts%Q2PN>
-EF,D;(M2c P+[2PM(.-0Q >UEFPMEb*"Q >A@=>APM2/
O:my * ) lrmkvol mynon !" k$#&%(' )' +*) '-, /.
021
1/35476+478
29;:
<. 3 ,=*>
6
,=. ?> 'A@9 A* 4 CB D,
+,=*><E F* G.
E DHI9J,=*>
8
'K,
,LBM.
6ONP3
$ 4
6KQ
1ORS1
4UTV4IWV4=NYX
9
,!>
Z' =:
,
%
,=.[A*S\CB]0 '^,
,_BM. 3
$ `1aR4
4 c X
cb cd
1
02e> <* !
4 CB
,=.[A*S\ CBf0
st[2B 2[g-h{EF*D;(R*0xl EbLug*"LQ=2PN>RE:>RYw2PM2(+/1EFQ2hYBw@1P+[2^>A*Du9-8F8b2Y # (MEbQ,v(M;8b2r
O:my g;ynhZ" n *yji§Cn+c ) klImhk$#
b
0l1
1m35476+478
2K,=*>^n o
d 1
02
%]* <E <* cp]o
6
,=HLqsr-. >L,!tnu9Z. Mv $A*w\ A*+,/.,=* 9 =*Kn xp]ykn Q9
Be,=*> =* DH B z'<{B9=.K,!}|~o
3 ,
=.<. =*> A*w\ /.,=* 9 =*_k s x
Q
A*
/.,=* 9$=* MH < > ' D,=H > A* \
c
xy2z (M2/O-0(+>)-(M2WEFQ*"(.Yw2(Bg>A2(+{r2RPM[ -PR-0Q32{r2QPpW9-0QQ*DPtB 2YwE:>+-0B8b2Y~-P-0Q@
/O-0(+wEbQ,Ln B@v-L8:-D9<2{|1>U; 9N[~P+[ -0P 8 1 p 4
|)2{1+
N-
J>AEbQ 9<2{|~/-h@B 2>AzREFP.9»[=2YeB@_p
2EFP+[2()xy(M*D/ PM*OcW*"(xy(+*"/ cP+* v-"99<*"(.YwEFQ,^PM*^PM[29-">A2?n
1
|21 Z*"(n
1
|)2{1cD
st[E:>2 wL8H-0EbQ >ZP+[21Q -/121*0xRgEFLu: *"LQ2P.><WB >U2(M{r23-08H>A*P+[ -0PvExWzt21Eb,"Q*D(M2OPM[EH>
L -0(+PMEH9<;8:-(MEbPA@-Q Y P+[w;g>(M2>UPM(+E:9<P
8
PM*O(.-0Q,D2~*{r2(VR TV4IW4
1 X
J zt2v(+29<*{r2(R2=-"9<P+8F@
PM[228b2/12QPN-(M@vQ2PN>t*0x Ê $XWd!! Ö
O:my k )on !"" noc#
,=.[A*S\~\=.,
CB,e' ' g*;0 1
1m3546_478
2 ' m.,=* 9 =* MH < n 1 0 2`1
1 d 1
02 476+47
2~: 4 CB
m.,=* 9 =* 1OR
Q n xp]ykn
Q X
"PEH>tzt*"(+PM[Q*"P+EFQ,PM[ -P2{r2(M@L8:-D9<2|*0x¡-~Q2P021
1/35476_48
2EFQ Yw;g9<2>R-9<*"(+(M2>Uu
L *"Q YwEbQ,/1*D(ML[=E:>A/
1
4
2xy(M*D/ n 1 0 2ÕPM* J,"Eb{r2QB@
1 p421
8 1| 4
p42xy*D(p EFQ
6
-0Q Y
1 n 2{1 n 1
|)2)xy*D(n EFQ~d
1 0 2 1
(M29-08F8 P+[ -0PW-/1*D(ML[=E:>A/
1 4
2)B 2PUzt22Q
PM(.-0Q >UEFPMEb*"Q>U@>UPM2/>
1 ^476+47
2 -0Q Y
1 Q476 Q 47 Q
2WEH>Z-OL -0Eb(*0xR/-0L >
62W 6 QJ
W Q
>U; 9»[OP+[ -0P
Q o
U xh
Q o Q
2N
2P; >Q*z L=(M*9<22hY B@}9 *"/1L -(MEbQ,~ EbLug*"LQ2P.>-0QgY}'ts Q2P.><2(M29-08F8
# (N>UPP+[2; >A;g-08 Yw2# QEbPMEb*"Q1*x'ts Q2PN><
O:my klImhk$# %! - *) ', /.<{0 1
1/3547;4#"
29 :
<.
3
,=*>
,=. -> 'A@9 A* 479 CB D,
],=*> m.,=* 9$=* . )
$AE DH 9 ,=*>
" 3 NLW
' ~: <\ BMv* =* % ,=.[ A*S\ CBe0 'j, , BM. 3
$ , 5b ;d
1
02
> <* ! 4 CB
,=.[A*S\ CB % /.,=* 9 =*%$o
' <* ,=q>(,!
,=.[A*S\+n
B,=*> =* DHB'& |o 354
n 1
|)2
T(" 1| 4
$2*) % m.,=* 9 =*+$ <*,=q> ,!5n
,=*
r-. -, A*&> A*S\ 9$9 t. >=v L,~*)<: ,=.[A*S\^n
Q
9-> <. A*)>~v}* /.Mv xH]BM. n
qIH
V. x,!$=*Pn 0$5y n Q Be,=*> =* DH B1& |Po 354
n Q 1
|2{1 n 1
|2
T2" 1| 4 $ 2
,=.[ A*S\_\ .,
CB]0 '
/.,=* 9 =* MH < n 1
02;1 1 d 1
02 476+47
29-:
F.
1 R 3
Q n 4$;y n
QAX
st[29<8H-">M>UE:9-8lYw2# Q=EFPMEb*"QOxy*"(WPM[2 # (MEbQ,~(+;8F2^/O-@~B 2^(M2>UPN-0P+2Y2Gr;EF{D-8F2QPM8b@vEFQP+[2
xy*"8b8F*zREFQ,xy*D(M/
O:my 5gC nhZ" n *y iU n67 lImk# b 0 1
1m3547;4#"
2 ,=*>;n o d 1 0 2
%]* <E <* 8$;o
,=H+qcr-. >P,!Znu9J. Mv $A*S\ A*`, m.,=* 9 =*_n 0$;ykn
Q9 Be,=*>
=* DH B z'<{B9=.f,!=|&o
3 ,
=.U. =*> A*S\ m.,=* 9 =*_ :9
<
3
Q A*
m.,=* 9 =* MH <
> ' D,=H > A* \
4
*"P+21PM[g-0P
E:>PM[2EFQgYw; 9<2Y >A;=B,"(.-0L[*0xWP+[2O7-h@8F2@,"(N-L[}*x *DQ}PM[=21>U2P
*0x$L *K>AEFP+EF{r2Q*Yw2h><sWB >A2(M{r2^-08H>A*vPM[g-0PW2{r2(M@L8H-"9<2|1EFQ&0 1
1m354 4;"
2$EbQ Yw; 9 2>R-
9<*"(+(M2>UL *"Q YwEbQ,/1*"(+L[EH>A/
1
4
2 xy(M*D/ n 1 0 2ºPM*f
J,"Eb{r2QBw@
1
$2c1
" 1| 4
$2
xy*"(<$o
-0QgY
1 n 2-1n
1
|2xy*D(5|&o
3
st[EH> 2h>APN-B8FEH>A[2h> P+[2L -0(.-08F8b28?B 2PUzt22Q
'tstuyQ2PN>-0QgY EbLug*"L Q=2PN> )2{r2(MPM[=28F2>+><J! EH>Q*"P-Q EFQgYw; 9<2Y >A;B,D(N-L[*0x
PM[2v7-@8F2@,"(.-0L[O*0x P1
1
R4 4 c
X=4UTV4
2.J YwE:>UL8:-@r2YvEFQ -Eb,wst[=2(M2-D>A*DQ >Ëxy*D(RPM[EH>
/1E:>U/O-0P.9»[ -0(M2RP+[2txy*"8b8F*zREFQ=,0ExÕPM[27-@8F2@,"(.-0L[v*x 6-0LL 2-(M2YvEFQ^L8:-D9<2R*0xt EFQ
PM[26Yw2# Q=EFPMEb*"QO*0x EFLu: *DLQ2PN> Jw *z\/O-L > z*";8HY1BC2xy*"(.9<2Y|P+*~(.-0Q,D2vEFQRS1 4=NYX
J
$
-EF,D;(M2^4 P+[2PM(.-0Q >UEFPMEb*"Q>A@=>AP+2/
-EF,D;(M2 P+[2v7-@w8b2@ (W(.-0L[*0x +1
1
R4 4 c
X=4<T4
2
8F2-{EFQ,Q=*zË-h@ PM* YwEH>M-0B=8F2O2{r2QPN>^-0PL -0(+PME:9 ;8:-(v/O-0(+wEbQ,r> )st[2OPM(+E:9Nz2O[ -{r2
; >A2hYxy*"(RP+[ -0PWL;(+L *r>A2^E:>tP+*>AL8bEFPRPM[=2-D9<PMEb*"Q c 1
*"(
N
2$EFQPM*vPUzt*vLg-0(MP+E:-8F8F@3Yw2#gQ2Y
-"9<P+EF*DQ >
T
-0Q Y
W
*"L 2(.-0PMEbQ,O(M2>UL 29<PMEb{r28F@-0P O-Q Y cD?st[EH> P+29N[QE:Gr;2^E:>EFQxÖ-D9<P
EF/1L=8FE:9 EFPM8b@; >U2Y|EbQP+[2vYw2<# QEFP+EF*DQ|*x28F2/32QwP+-(M@Q2PN> JzR[2(+2PM[=2-D9<PMEb*"Qc*0x$P+[2
,"(+*";L YwEH>M-LL 2-0(.><
2 wP3>A29 PMEF*DQ%>A[*zW>1PM[g-0POPM[EH>OYw2PN-EF8W[ -">1EbQ xÖ-D9<PO->AP+(M*"Q=, Eb/1L -D9<P~*DQ P+[2
9<*"/3L8F2EFPU@O*0xËPM[2>A@QwP+[2>AEH>L(M*DB8F2/ l>UEFQ 9<2PM[=E:>L(M*DB8F2/ E:>')u9 *"/1L8b2PM2xy*D(
28F2/12QPN-0(+@vQ2P.><JwzR[=2(M2-D> EbPR8FEb2>EbQ'}xy*"(R EFL=u *DLQ2PN>t*"('ts Q=2PN>
1
*
$$
)
st[2,D*r-8*x)P+[E:>R>U29<PMEb*"QOE:>tP+*1>U*"8b{r2PM[2^>U@wQPM[2h>AE:>tL=(M*"B=8F2/>UPN-PM2YO-">txy*"8b8F*zW>
n0 j *® AE <*`, A* > m.,=* 9$=* MH < P9J> A> V: <. <. z'<
,
,=.[ >e' ' *)e: , 4^\=.,
'9
=.&
P9?,=*> B 9
=* </.Uv
,!J*)
st[2Zxy*D8F8b*0zREbQ,Yw2#gQEFP+EF*"Qg>t/O-0r2>)P+[E:>R>UPN-0P+2/12QPtL=(M29<EH>A2r
O:my % A* > /.,=* 9 =* MH < 1
1 ^476+47;4
2 ' , /.,=* 9 =*
MH < 1 ^46_47
2e:
,> '< A*S\=v '
> <m,!
,!> <m,=. <m,! 4
CB&. ,
,=q </,! CB^ ' A*>=v
$AE
Mv. CB~R
X
:
.
B9=.U:,=.> m.,=* 9$=*`.D,! =*
' M, A> ~qL, 9Aq BV,! </,! o
,=.
. , ,=q< %
=.$
'
CB A* > /.,=* 9 =* MH <
'J,
=.$
'
CB /.,=* 9 =*
MH < t. 4F.UE A*w\ <m,=.<m,!
O:my u%
,=.[ >j' )' O* ', v 1
1/35476_48 4
n 2:
F.
1m3546_478
2 ',c' ' ~*) {,=*>fn ' =*) CB ,=.[A*S\ , 4{\=., CB 9
1 29 ' A* > m.,=* 9$=*MH <
=* 9'<$A*w\A* A*>=v
>(. </.
=*
CB
,=.[A*S\~\=.,
n 1
02 =* Mvq 4 CB
,=.[A*S\ j. ,
,=q5BM. n 9
: n , <m,=.<m,!
23zREF8F8L(M2h>A2QP^-LC*D8F@Q*"/3E:-08-8F,"*D(MEbPM[/ >A*D8F{EFQ,L(+*"B8b2/ fw st[2>A*D8F;P+EF*"Q zt2
L(M*DL *r>A2WE:>lB -">U2Y*"Q-Q-"Y-LPN-PMEF*DQ~P+* EbLug*"LvQ2P.>*0xÕP+[2t,D2Q2(.-08E:Yw2-W*0xÕ(M2,DEF*DQ >
EFQOPM(.-0Q >UEFP+EF*"Q >A@=>AP+2/O><JrzR[EH9»[Oz2ZQ=*0z%2L8:-EFQ?
>Q*"P+2Y}2-0(+8FEb2(J2h-"9N[}L8:-D9<2^|}EbQ-| EFL=u *DLQ2P+0 ,DEF{r2>(MEH>A21P+* -9<*"(+(M2>Uu
L *"Q YwEbQ,/1*D(ML[EH>A/ *xWPM(N-Q >AEbPMEb*"Q>A@=>AP+2/O>
1
4
2n 1
02 W
"§Q *"(NY2(
PM*3Yw29<EHYw2zR[2PM[2(R2 wEH>APN>-e/-0(Mr2hY6 EbLu: *"LQ2P zREbPM[9-D>A2,"(.-0L[E:>A*D/1*"(+L[EH9
PM*O-v,"Eb{r2QL *DEFQPM2YOPM(N-Q >AEbPMEb*"Q>U@>UPM2/ OJP+[2EHYw2-vE:>RPM*O9<*DQ >AEHYw2(W-8F8l/1*"(+L[E:>U/O>
1 4
2 !
W
-">L *r>M>UEFB8b2~L=8:-"9 2>EFQ zREbPM[ *z/O-0L
8 1 p 4 1 4
2 21 1
p 2
-0Q YEFQ=EFPMEH-08?/O-(MEFQ,+n 1 1 4 2 251
1
2NÕ*z xy*"( -0Q@
1 4
2
W
J Ex¡zt2
>A2P 1 1
c 2.JPM[=2Q*DQ21*xWPM[2~xy*D8F8b*0zREbQ,O(M28H-0P+EF*"Qg>
1
2*D(
1
2W/~;g>AP[*D8:Y xy*D(
2-"9N[O2{r2QP
2 &
4 Q4 1
Q 1
o
Q
o 2 2
2&
4 Q4 1
Q 1
o Q o
2 2
7$*"Q{r2(N>U28F@2{r2(M@ >A2P^*0x>AP.-0P+2>!>A;g9»[ PM[ -P 1
2W*D(
1
2W[*"8HY>Zxy*"(^2-"9N[2{r2QwP"
9<*"EbQ 9<EHYw2>vzREFPM[PM[2EFQ{r2(N>U2OEF/O-,"2
1 c 2vB@>A*D/12O/1*"(+L[E:>U/
1 4
2 ;
W
1
zR[2(+2 )1
2^1+U1
Ex-Q Y *DQ8F@}ExP+[21(+28:-PMEF*DQ 1
2EH>v>M-0P+E:>$# 2Yxy*"(# 2.)st[EH>
/1*"P+EF{D-0P+2>P+[2Zxy*D8F8b*0zREbQ,vY2# QEbPMEF*DQO*0x$(+2,"Eb*"Q >
O:my $k 3}" y lkomnokMmy k<lk m #&% .\ =*% A* , m.,=* 9
$=* MH <
1 ^476+47
2 'V, 4 CB </,! &
M,!$'ABMHA*S\('&^o 6 9
1
&) 4 Q o
e4 1
Q 1
Po`|
Q
o`|)2 2 2+*
1
&
4 Q o
^4 1
Q 1
Po`|,
Q oP|2
2 2
X 2,"EF*DQ >RL(M*{E:Yw2^-v>AEb/1L8b29<(+EFP+2(MEb*"Q1xy*"(R(+29<*",DQEFEFQ,vP+[*r>U2,"(.-0L[g> zR[EH9»[-(M2E:>U*"u
/1*"(+L[EH9eP+*}9-D>A21,D(N-L[ >v*0x28F2/32QwP.-0(+@Q2P.>< st[E:>v9<(+EFP+2(MEb*"Q /O-@BC2>UPN-0P+2Y-">
xy*"8b8F*zW><
lw n O% A* > m.,=* 9$=* MH < ' '9 =.$ , 4]\=., CB
9
s' )' ~*B],=*> =* DH B '],
9Aqf,=* > 4$ ,=.,! >$9Z:
,=*
,!
cB9!=:A*S\
=*> $=* ^,=. M,! 'Ar >('
c3 =. <E <.<H , A. CB?> '<$A*
6</,! 79
<. z'<V,^.\ =*~:
=* m, A* z$,
xH
=*) CB 9
4 =.<E <.<H~,
$=* * ! <*,=q<>`,! 9
<m,! 9
<. z'<G,(.\ =*(:
> ! e* ! =* /, A* &qIv =* /, A* e,! 9=v. K,=*>P* =*) CB m,=.\ CB
m.,=* 9 =* D,=q>~qIH!
=. =E <.9:
<* 4
=*> =* ,=. M,! 'Ar >$9 m.,=* 9 =* MH <
'G> <.
A* '<
9J:
,=*
,!
Q
QQ Q 1 QQ
t. 4CB '1 2 2P B 2- /O-(Mr2Y EFLu: *DL Q2P-*"(-0Q@}L8H-"9<2+|ÕJP+[2>A2P.>f|1
Rn o 1 2 n 1
|)2-1c
X
-0Q YOEFPN>W9<*D/1L8F2/~2QP 1 |
2-0(+2(+2,"Eb*"Q >REFQ 1 2.
2Q 9 2, 1 2^>M-PME:>$# 2>vPM[2 # (N>UP19 *"Q YwEbPMEb*"Q*0x^>U2L -(N-0P+EF*DQ?tW*0z -">M>U;/1212{r2QwP
p1EH>ZQ*DPv2Q -0B=8F2Y}-Pv/O-0(+wEbQ,`n J)Bw@ Yw2# Q=EFPMEb*"Q}*xP+[2 # (+EFQ,(+;8F2KJ P+[2(+2|2 wEH>APN>
-L8H-"9<2|>A; 9N[ P+[ -0P2EbPM[2(n
1
|)2~1 }-Q Y
8 1| 4
p42P1+
W]
*"(jn
1
|2(1 c-0Q Y
8 1| 4
p42P1+
T]
"Q PM[=2 # (.>AP39-">U2rJ5n
Q
xp y n QQ 1 n Q
oO| n QQ o
| 2Zxy*D(
2{r2(+@%-"99<2h>M>AEbB8F2/-0(MEFQ=,r>~n
Q
-Q YOn QQ
JW-0Q YOn o
| "Q\PM[2 >A2h9<*"Q Y 9-">U2rJ
n Q
p+y n QQ 1 n Q o 1| 2 n QQ o
1| 2 2W-0Q Yn o
1|
2N?st[; > J 1 2
>M-PME:>$# 2>tP+[2^>A29<*DQ YO9<*"QgYwEFP+EF*"Q3*0x¡>A2L -(N-PMEF*DQ? V*"(+2*{r2( 1 2$EH>tYw2P+2(M/3EFQEH>APMEH9
-0Q Y-"99 2>M>UEFB8b2Bw@9<*"Q >UPM(+; 9<PMEb*"Q?
1
2 (WEF{r2Q- L *DEFQPM2Y P+(N-0Qg>AEFP+EF*DQ%>A@=>APM2/ 1
1Z447;4
2.Jt8F2P!
1 2`1
1m354478;4
n 2vB 2PM[2/O-(Mr2Y Q2P1zREbPM[>U2P1*xL8:-D9<2>
3
Y2# Q2Y-D>~PM[=2>A2P1*0x
(M2,DEF*DQ >|EbQ~OJCEbQEFP+E:-08Õ/O-0(+wEbQ,+n ,"Eb{r2QOBw@(on
o?J -Q Y| *z\/O-L
8
-">txy*"8b8F*zW>
8 1 4 21_<1
Ex -0Q YO*"Q8b@1Ex
Q 1
o(
IQ
o32.J
8 1 4 21_
Wf
Ex$-Q Y|*DQ8F@1Ex
Q 1
o
IQ o32NJ
8 1 4 21_
T]
Ex -0Q YO*"Q8b@1Ex
Q 1# o
o32NJ -Q Y
8 1 4 2{1+
N-
Ex-0QgY|*"Q=8F@OEx
1 o 4
2
1 o
4
2 1
Q
1
o(
IQ+ o32
2N
>M>U;/1EbQ, EH>1-"99<2>M>UEFB8b2 -0Q Y >A2L -(N-PM2YJ8F2PO; >O>A[=*0z PM[ -PP+[2/O-0(+r2Y Q=2P
1 2$[ -D>-v9-D>A2,D(N-L[EH>A*"/3*"(ML=[E:9RPM*+1-*"(W-Qw@3>AP.-0P+2
*0xOJw8b2P
Yw2Q*DPM2
1
PM[29N[ -(N-"9 PM2(+E:>AP+E:9 xy;=Q 9<PMEb*"Q*0x 2tP+[2>A2P*x$(M2,DEF*DQ >zR[EH9»[
BC28F*"Q=,r>P+*?st[; >REFQ
L -0(+PMEH9<;8:-(Vn
1 1 2 /t29-0;g>A2^ >M-PMEH>&# 2>P+[2 #g(N>AP69<*"QgYwEFP+EF*"Q *0x>U2L -(N-0P+EF*DQ?J
PM[2O/O-L
1 2 W 1m3
2E:>*"Q2u®P+*"uy*"Q2r"®x
Q
PM[2Qxy*"(v2{r2(M@(M2,"EF*DQ J
t I
Q
go B@|P+[2Yw2#gQEFP+EF*"Q*0xPM[=2Z *z/O-0LºJC[2Q 9<2
(y IQ
o
n 1 2NJ -Q YO>AEbQ 9<2]n 1 1 2
-0Q Y+E:>t-D99<2>+>AEbB8F2rJ
E:>-(M2-D9»[g-0B8b2/O-(MEFQ,
xy*"(12{r2(M@
o
tst[EH>eL=(M*{r2>vPM[ -P
1 c4 1
2$2
W
1 1 2 2^E:>-/1*D(Mu
L[EH>A/ *0x LC*DEFQPM2Y1P+(N-0Qg>AEFP+EF*DQO>A@=>AP+2/*zJwE x
_ykn P+[2Q
8 1 4 21+
W]
-0Q Y
1 2;1 cZxy*"(-0Q@(+2,"Eb*"Q 9<*DQwP.-0EbQEFQ,3-08b8P+[2v>U*";(.9<2>-Q YQ*DQ2v*0xPM[=2PN-(M,D2PN>
*0xP+[2P+(N-Q >AEbPMEF*DQ >v8:-0B 28b2Y}Bw@ C/t29-0; >U2 >M-0P+E:>$# 2>vPM[2>A2h9<*"Q Y9<*"QgYwEFP+EF*"Q*0x
>A2Lg-0(N-PMEb*"Q?J Q29<2h>M>M-(MEb8F@1P+[2(M2/; >AP2E:>APREbQOPM[ -P9-D>A26-eP+(N-0Qg>AEFP+EF*DQ+$RzREbPM[O*"(+EF,DEFQ
-Q Y8:-0B 28 V*D(M2*{r2(JPM[2vP.-0(M,D2P*xtP+[E:>WPM(N-Q >AEbPMEb*"QE:>W;QE:Gr;28b@OYw2P+2(M/3EFQ2YÕJ
B 29-0;g>A2
Q
2QPN-EF8H>
1
2 Py 1 Q2
JE2r
1 Q2 1 n JÕ-0Q Y 1 2
gW 1m3
2tEH>
*"Q2u®P+*"uy*"Q2r st[=E:>tL(+*0{r2h>PM[g-0P5 E:>Yw2P+2(M/1EbQE:>UPMEH90JD-0Q YO-8:>A*vP+[ -0PRP+[2(.-0Q,D2Z*x 1 2
E:>2Gr; -08 PM*OPM[2>U2P*0xË(M2-D9»[ -B8F2v/-0(MEFQ=,r>R*0xlst[; >
1 c4 1 2
2WE:>-QEH>A*D/1*"(+u
L[EH>A/ *x$L *"EFQPM2hYP+(N-Q >AEbPMEF*DQ>A@=>APM2/J-D> zË-">tPM*L(+*0{r2K
WB >A2(+{r2xy(M*"/P+[2v-BC*{r2^L(M*r*xRPM[g-0PWEx{ EH>R-"99 2>M>UEFB8b2-Q Y>A2L -0(.-0PM2hYJCP+[2Q -0Q@
>A;Bg>A2P*x(M2,DEF*"Qg>EFQ`9 *"QPN-0EbQEFQ=,12Q*D;,"[28b2/12QPN>)xy*"(zREbPMQ2h>M>AEbQ,O>+-0PMEH>§xÖ-D9<PMEb*"Q
*0xPM[=2PUzt*9<*DQ YwEbPMEF*DQ >*x>A2Lg-0(N-PMEb*"Q?J 8F2P
3 Q & 3
JCEbQ Yw; 9<2h>-9<*"(+(M2>UL *"Q YwEbQ,O>U;Bu
Q2P
Q 1 2;1
1m3 Q476_478 Q4 n Q
2RzREFP+[9-D>A2v,D(N-0L=[EH>A*"/3*"(ML=[E:9PM*
1
zR[2(+2 8 Q
-0Q Y
n Q
-0(M2P+[2EFQgYw; 9<2Y(M2>UPM(MEH9<PMEb*"Q1*x)P+[2(+2>AL 29<P+EF{r2W/O-0Lg>
8
-Q Y~n 2N st[=E:>*DB >A2(Mu
{D-0PMEb*"Q E:>9 (M; 9<EH-08?xy*"(2PM(.-"9<P+EFQ,~xy(+*"/ PM[2-BC*{r29<(+EFP+2(MEb*"Q-Q2 $O9<Eb2QPW>A@QwP+[2>AEH>
-08b,"*"(+EFP+[/Dst[29 *"Q >UPM(M;g9<PMEb*"Qv*0xº*";($L *"8b@wQ=*"/1EH-08=-08F,D*"(+EFPM[=/ (M28FEF2h> *DQ1-Q1-8F,"2B(N-E:9
9»[g-0(N-D9<PM2(MEFh-0PMEb*"Q*0xR(+2,"Eb*"Q >WEFQ` B@>U@>UPM2/O>t*xR2Gr; -PMEF*DQ >EbQPM[=2vBC*r*D8F2-Q(+EFQ,=
2P; >RQ*z Yw2>+9<(MEbBC2P+[E:>W-08b,"2B(.-0EH9>A2PMPMEbQ,zR[E:9N[OzREF8F8l>U;B >U2GI;=2QwP+8F@1B 2^; >A2YP+*
9<*"/3L;PM2-/1EFQ=EF/3-08>A2Pv*x(M2,"EF*DQ >
3?Q
EbQ EFQ Yw;g9<EFQ, -Q2P Q1
2zREbPM[9-D>A2
,"(.-0L[EH>A*"/3*"(ML=[E:9RPM*+O
2$EFQPM(M*Y; 9<2# (N>UPl>A*D/12$Q29<2>+>M-(M@P+2(M/1EbQ*"8b*",D@R*"Q,D(N-L[ >< 2PZa1
1Z4 V47
2
B 2-PM(.-0Q >UEFPMEb*"QO>U@>UPM2/ " #gQEFP+2>U2GI;=2Q 9<2W*0xlP+(N-0Qg>AEFP+EF*DQ >*xZOJ 1
2
EH>
-L -PM[EFQ Ex
1
xy*"(¡-08F8
J"-Q YPM[2Q
-Q Y
-0(M2PM[2RPUz*2PM(+2/1EbPMEF2h>