!#"$#"&%'() *+-, . #/10 Noga Alon Tel Aviv University [email protected] Tova Milo Tel Aviv University [email protected] Dan Suciu University of Washington [email protected] 4-=@?QCj57?A6969kl8;C]:<^95>nmo=@?A69:DBD5hCEZA?A6n57`pm;?A698RFBH5H?AGJFRILKCEMO?qNQPR5>:DMONQ5LSEZOmTVUXW$CE8RY=@ZArs[]5L\RZ.^95>?A_a[tCu`V[EZ.fXgRbd5hZOcHmek>[]fX8gR`p5h[]ZAZA69_75>=>= i ?Avd[$xsC7v.B<}~69xs:D5>FR8t69=[]YgZA?A[<YR\g;^9?w5>_vdxsFRC<v. y\`V[E5>Zz5h8{698R=@Y?AggR?A=w695l=A Cj?A\X69m.=@`pm;C698R=OgB$\RC{=O5hB]?6|:<[]5>` 8t?AFR6|58YRCEg;g? ?A[EF`[]bzZA=cH69eH8H;Cq[X=Ok>6|gR_7_7Y5>^96 8XR?A5l={\`gZQ?C]_769B<5h8Rr[EZA[]5lZA77R?AFCjCj?QCd?:<klC]CEY;^9gR?A5>g=>ZA}5l74-?A5sFRZA5w5>:~=@?O69ZA=OgR69?khFR?Ag;5LZAZA55 ?AFCE5$?QC?m:<YCE^95hgRkL5>F=5>kLCj~ZA5w698RY;BtZA5>Y;=OZA5>[<8X\R?^95>698{_69[X8k>g?A_7F5&5>8X_7?A=s[]ZAC]58R ZA5l?ACE5>^|=@69=@?A?A5l69ku\~klm CE=OfX5&gRr5hZAFR695>5>=>8 } g88;?A5>Fk>69=w6|R5hCE~\R?A^95>5<8R}w5l[lHr`p5>ZQ:DCE5h_7Zl5hy~rs6n?[EZAZA5h_y?C]m;698RY=5>kLF5>5>k>kQ6|;C]698\RB$^95fX`Vg[]6|ZskQ~^Cj^nmuZAB<\55>k>k>^|[]C]_7=O=O5>5>== [E\`g?AfX69gR[<5h8$ZA69[]5>`=s?AC]F85dYvzZA5hxs=O5>vd8X=?[]Y`C]Y;YZQ5LC]Zkh69?A=s69kl?ACE[.^?O698XZQCE?A5hk>ZA55>Cq=@?l`V}C]xs6nZAF^nm&5w?A_69B<C]FX69?8{\k>[][<gR8X8?OZA~6n khkhCj[<[<ZOm_78R=OYR[]6|;`^95h5h;;ZA5l5>6n?k>m6|} R[]CE`q\R69?^ 69m;?Ymt5>`VkQ[]FRZz5>kQ?~m;69Y8R5>B#kLF695>8kQ;?A69F85-B{;r5>6nk>?A6|FRCE\RCE^9?Q5C{kl:<C]CE=O^|5>g=u5>=>69=&}xsC]^9F=O[5 ZQ?A[.CE8RvdB]CE696|B<8?Q6nC]B.?Q\RCE`pC]^ZA=O[]B]5>_[j=:DY5h5>ZA^|^9Cl8R5>m{kh_7?OCZA5h[]8~kh8R?lZA69}gkzk>;k>6|gRC][<kQ^_7F{ZA_7[<C]^9Y5d5LZAYR69k>8{^956 kl8RCE?A[q5h?Ar69[<48698X5>=\{?AF5hCl=OZA6n8:D?A55h5d?ZA_5lCEYRC]5h8RYRRC]^968RB<kl5l5hCj _7?A6|[]?A5>F8R8X5=? ?A 5h~kL?AF5>8R8[<;^9[]5l¡B<69klcHC]^CEZA\~[<gRgRY8RReCjCEZA8R6|5hB]=g[EC]`B]5u?AFR¢J5bzCjcHZA5leC;£w}C]xs=dFR?A5F5>5._7^96 5hDZA5>B]^nmt5>8R=@kh?Q5dC]8R[]`RCE?AFZQ5 `p[]ZAZz_7ZA5l5>&Y;ZA?A5>FR=O5¤5>8Xk>?A5>698X8R?OB$ZQC]C]^8RZA[]^95h5.;kQ[]F`CE=O8R5>B<_769869=@B$?OZAgRCEkh?Q?AC{g;ZA[<5l8ut?ARFRCj5q?QC{4\5>g\t?FFCEC]=d=dk>C][]^9=O8[ ZA?Q5>CE8X5h?R698R=5l?AzFCj=O[<?_7bz5cH[]e-`;?A_FR5CjB]ZA;ZA[]=sgR?A8RFz5uZA¦gZA^95h5>?A=>g;}ZA¥8H5h[]ZA`FRC]?AFY5d=?A=OFRkQFR55>_7_[<CE=@§H?6|¢¨_7C]^9Y\[E5>ZO6n? ^9vd[XCE[]?Q=OC.5C]x8m; Y5w©R5hvd;5h6|\R^98R5j6n£?A6969[<8{8=O=d5>_7¢Jvz69xs=@?OvdZAgR=Qkh£L?Ay~g;rZA5lFR69kQF&RCEk>?Q[]C~8Ry~=@69?O8{ZQCE?A6|F8$5:<`p[]CEZA^96_bz[E`cH6n?Ae = ;CjZA[X5 k>gRCE_78C]5h^98~[]?AB<=>[<}g=wxs?AF[75¡?AFR\[]5>=O85.5hR;?A5h=$ZA69:D[]5l`qHvz`pxsZA[]vd_«=&=OCEkQZAFR5¡5>_8;gC7_76985h`pZA[][<ZAg_=>}ªCj?A6|;[][<8t_76|8 5 5h¬ 8R4¥k>[<5[]=@ZA?O°R$[]=OgR[XgRkh8RY?AR[EYCEZQ[]?AC]ZO69^{[]?A5l8&ZAH5>gR=O698R5l8tCEZAY5hkQZCjFRZOBE5L?wZQZC]\X8Xm&[E?`H?A8~F?AgRFR5¤_.5q\°} 5L gRZ} ®8±D·=@²lZQC]³]`V5h[E³;^Z´l¯µ]~¶ 698k>69Cj5>?A8X6|[]?A6n8CEk^;¸k>5h6n =O2 5>xsCEFRZAkQ69=F¹yC]°g^|?ACEF8[]Zt5LZA=O=>g} YRY[]ZO?A5>º698»YRCEZO?\Xm?AFR5¼wCE?A69[<8RC]^7~k>695>8Rkh5 °3 [<gR8RRCj?A6|[]8HgR8R5hZsB]ZQC]8X?8~gR_¤\5hZOOX±<¶<³<µ<µE¶<¶;} ABSTRACT 1. INTRODUCTION Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. PODS ’01 Santa Barbara, California USA Copyright 2001 ACM 0-89791-88-6/97/05 ... 5.00. ½ 2 Frank Neven Limburgs Universitair Centrum [email protected] Victor Vianu U.C. San Diego [email protected] 3 ZA?A5>FR^|5wCE?Ak>69[<[]8X8?AC]5h^~?fXgR[E5L`ZO?Am#FR5YZA4[Xk>5>5h\=Oy~=O6|vz8Bxs}vd=¥5hklZACEFR8&C]\Y5d= g_7=O[<5l=@?.?A6|[¤_7:<YCE[E^96ZO?QCEC]?A8X5z?A^nm-CE?A?Q[C 5hC];BEZAkQ5>F5dC]8[]B<8H5<C}ok>[<8_7Ct_7?[]m8{Y69vdklC]xs^sv¾=OkhC]5>8R8{CjZA[]6|[;8$yY;CtZA[~gR=Og5hk>Z.698Rk>Bq[<_7[<8R_¤^nm{gR8Rbz6n?cHm¡er[<gR[X^|kL gRxs_7FR695h=78~?AZQ=C]69r=O5>FR=69kQ?AFFR5$CEZA695.=O=O:]gRC]5u^96|[]H`&r¿®6nÀA?AG®FÁ]GJZATJN@5>Â=OYGJ5hILkhK?dMONQ?APR[7MO?ANQFRSE5qTVUX=OW]Yi-5>k>:D6n5LZA5>69`m;6|vz8Bxsv¤Cj? } k>=OgR[]_7^n?YR[]69`^ 5HC¤?A=O6|Y_75>5Hk>6n?AFR5l&CE?¡f~gMLÃ]5hZOMLm{ÄQItC]YbzYRcH^96 5le¾$;?A[X[7k>C¤gR_7:<CE5h^|8~6 &?.69r8FRYR69gkL?F;6|[X=k>?AgRFR_75H5h8~ZA5L?l y =ACE?Axs69=@FRR5w5>=bz?AcHF5det[<=@g;?QC]?AYR8g;?CEZQvz{xs6|=v.=@} ?A69^ gR8;5hZ;5>:D5>^9[]YR_75>8X?l}xsF5d\CE=O6|k B<698{gR[XC]khCqgRB]=@5>_7?Q=dCj5>?A`V8X[E5?Z[E_7`¹fXgR[~©R;5hgZO5> m;^J}y]698R?AeFBCE58RCEY;8B]ZAgH5>C]k>?OB]69ZQ=O5>C]5=s8Y;=@5L`VZA[][<ZAY8R_76n[<?A=O696985>[<B$8q`pbd[][]`cHZvzbdexscHv.;e[XyEk>C]fXgR8Rg_75h5hZA?A698~F5>?A5s=s=^|CEC]CE88;ZA5 ?OÆ ¶EZQȨC]y8b=@`VÅd[EZAe_CEÆ µj?AÊ]69[<Ȩy8=$CE869-8RkhÅw^|gRgR695u^n?bdÆ ËjcHȨ}{e;Åd5>:<eÇ5hZQC]^Æn´<:]´LCEÈ®yZA6|bzCE?A;69[<e8xÉ=qC]Æ ±j8È®ybw5h~¥?ACE5>?A8F =OÌ 69[<ZA85>=k>[E5>8X`?vz5hxsÍ vd[EZO=?zCEZA?O5ZA6|5h\=5>69?A8R[$BgRk>8[<869`=Omu6|?A5hFRZA5>5l=Oq5.\X5hmz~?A?A5>FR8R5s=Obd69[<cH8=ze{698~k>?A[][&_7C$_.g=O698R8R6nB]?^9mX5 } `pZQCE_785hCrsY[EZAZA$5>:~k>69[<C]g^9 =d5lHYCEbzYcH5hZ e @Æn´>~±EkLȨFy5>C_=OCgR\Æ9´]=Oy5hµl?dȨ[E} `?AFR5¤C]g;?AFR[EZA=d698;:<5>=@?A6n BD\CjCj?AZA5l5hd®\?A[<FR855>?=m;=@Y?O5>ZAkQgFRkh5>?AkQg~ZA6958R[EBs`Y;bdZA[<cH\R^9e#5>_[X698qk>gC_7^96 5>_78X6n?A?A=5lwrC]`pZQ=wCE_7C]\5h=@rs?OZQ[EC]ZAkh?A}5ltxsFRCE5= []C]ZQkh;k>5>5hYZA5l?A{5>-^CE8R\[E5>?A^96|5l[]{8?O[]ZA5h`s5>vz=>}xsxv.[.y khZA695>ZAB<khgRg_.^|CEZq:<5>?O8XZA?5>57?AFR^|C]58R^|C]B]kQg{CEB<[E5>`=CqrsB<5h5>ZA8575hZQgC]=O^95lnm C]C<= ;?ZAm;5>Y=O5>=O5>=>}\Xxsm.FgR5&=O69r8R6|B¤5uCz:D:]5hCEZOZAm 695h?B]mo5>8R[]5L`dZQC]bd^cH_7[~e»5hfX^RgR[]5L`ZOm#?OZA5>^|C]58R?OB]ZQgC]CE8B<=@5>`V[]=ZA_7rCE5LZ= ?Okl=OZAgRCE5>^|^n9?5z5l&[]_`S]CEÆnÎ98R´lK±j69M>YRÈÏlg69Ï>=^Ð|CjMz?A?AF69GJ[<Ä@CE8&Á]?URkh?ÀL[]m;Ñ]ZAYÒ55>NQkQML[]FRÄL`y5hbdkLr~cHFR698R69ekQB.F{ÅdÓ~rs®e-YC]5>=sCE\8=O\RF&^9[j5dbdr?O8ZQeC]?A8}R[=Axs=OgRFgR\5zkh5h=O_gRZA=_7C]6|695=8$?AZAFR5L5L5 k>Ôj6|ÖERywCEC]\R8R^95<}CoxsÓ~F®CjY?75>\69=>\Rys^95HB<69:D?OZQ5hC]88=ACE8gk>698R5hYZ{g×q?.y?m;6n?&Y5$6|=$Ô<Õly5hk>C]6|R8C][<\g;^95?AYRrg;F?.5h??Am;FRY5h5Z ×qÚ FR¢JÔ 695hÕ `w£«C]_7ØÙ[]8RÔ BuÖ }?AFRw5h[l_rs5>69:<=.5h?AZlFy5&?AFCE6|\R=z=OZA5>5>8=Ok>g5$^n?¤[EFR`dC]=CE=O?Q5hCtZA69:<[<CEg^9=gR5>^|69=q_7`pZA6n?Q[<CE_Û?A69[]?A8RFR=>5 } _7gR8R[~5>5hkh^¨6}wC]8u\^|5`JCErkh?lFy5>6n8?zÓ~69=w®Y5l5>CE\=O6|\R^nm^95s=O?O5>ZQ5>C]8u8=A?AFRgCEk>?w5hZA?m;=YCE5>ZA5kLFC]5>gRkQB];_76985>B{8X\?A5l5hqk>[<r_76n?A5>F = k>[]_7xsFRY5-CEZAY69=OZA[]5>8R=O=5>8X[<?u8uYRC]CEY?Q5hC.Zt:]C]5L;^9g?A5>5h=>8} =$?AFR5698~:D5>=@?A69BDCj?A69[<8»[E`uÆn´l±jȤ?A[ ?4m;Y55>`VkQ[XFRkh5hgRkL=d~69[]8R8¡BofX[]g`.5hZOfXmHgR5h^|C]ZA6985>B<=$gRrC]B<69?A5hF=z6|k>8u[]_7?AFY5qCE=@ZA?69m;=O[]^|5q8R=u[]`[]bz`.cHRCje ?QCÅd:]eC]y ^9gCE5>8=> } ?O[<C]ZA\869\R69^|?6ng;m;??AmHYR6|[]69[]8R8`Bu?A[]gF`z=O56|?A8?Fm;Bt5HYvzY5>kLCExsFYvd5>5hkQZ{=¤;6969C]8={8B -?A[-Y?AZAF?O[]ZQ5>\RCE6n^9Z.k>5>5u_Ü:]CE?A69ZAFR8H6|5HCE?A8~\FR?A[]=>5z}¡gRY8RZAxsR5hFCE=O5>5{ZO8Rm_k>5q[ECE`q[]698#`5>k>k>[<CE6|?Q8;~C ?A:]6n?FRC]m$5t^9gR=O5>fX6|=>gy¹5<5hyrZOmrFR55h^ZACE=O5¤8RFRB][l?AgFRr»C]5 B]?AYR5FRCECEC]ZQ?C]8?_7Ým;5LY[]?A5>`z5hkQZAFR?A=zFR5>k>kQ5&[<~869vz8R=OxsB 69=@vd?¤69=d=>[E}¾;`5>:]k>ÞwCE6|RZA869CE[<\R?AgFR^9=5z5u`p`V5l[E;CEZd5>?Ak>fXg;6|gRRZA5>5LCE=ZA\R6|695h[]^n=` rC]8R6n?AF¡[<8g;[<?A8;YR®gZA?5hk>vdgZAxs=O69vÛ:D5¤=OYYCE5h?Ak>Ft6n`pm;5h69;8RY;BoZA5>k>=O[<=O8R69[<8R6n=>?A69y[<CE8ZA=$\6n[]?O8ZQCEZO?AmtFR5u698R8~YgRg_¤?z\vz5hxsZv¤[]` y kQFR69^|;ZA5>8H[E`8R[~;5>=r6n?AFuC.B<69:D5h8H^|C]\5>^J}45zCjZA5C]\R^95z?A[ 5h~?A5>8R ?A`pgRF^969~=ZA?A5>[$B<gvz^CjxsZvd5h;=zYgZA=O5>6|=O8=OB&69[<8=@?Q=>CjyDZO\X®m`ZA5>698R5 khZAZA5>5>B]C]gR=O69^|8RCEB]Zq^9mq5h;ZAY5>ZA=@5h?OZA=O69=Okh6|[]?A698R8R=>By?ACEFR85ufX?AgFR5h5>ZO8m ^|\CE[]8RgRB<8RgRC]=B]5<`p[]}Z[]4-g5Zs?C]m;^9Y=O[Ý5>kLF5h=@5>?QkQC];\R698^96 B=OFßC]^9^9B<[j[ErZA5h69?AZuF_7CE8=>}xsgFRYR5Y5hgRZ$YRYk>[<5LZ_7\Y[]^95hgR;869;?m = ZQCjCEZA8R5.B]?A569B<`FXZA[<?l}._ xsàFRáh5 àEâ^9ãR[lrsäq5h?AZ[z\8R[][]gR88R®5>^9=w5>_7ZQCE5>8R8XB<?Q5¤CjZO`pmXZAy<[<\_åg?ãR6næ?ç69è=àH[<Y?A5>[&8 à6ná>` àj?AâFRã5h=Oä5 } kh5LÞw;[<8t_7?A5h?A5>8FR=5q5>gR{gR88R;5>5>:<k>5>5>6|kh8$R6CE=O\RC]^96 \^9B<5¤6|FX^9?A6nC]?^n=wmtmX}=O=O[X46|[];8-5<5y _CErs=wC]5.69?A8RFR=O^nF5m[l_r'k>[]CE8R?A6|8F=O6|CE;?5L5>Z?k>m;6|5LRY;CE5>?A\RkQ5hFR^98R5¤5>=OkQ69k>[<~C]869=O8R=s5>B=zr\Cj69?AZA5hF 5 ZAY5h^9k>5lg¤ZA`p=OZA69[]:D_¾5 YR?QCEC]?AB]F=695h8 ;vdYZAxs5>=Ovd=O69=[]¢¨8RC]=^9=O69[z8-~fX8RgR[l5LrZA6|8 5h=>CEy=[E=OZzY5>rk>696|?AC]F^96 él?CEm;?AY69[]5>8=z£L;}5>xsk>[]FRg69= ?OkQZQFRCE5hk>kL5>~=¤698RC&B.`JrCE696nZA?A^nFum¡?ACE6|B]?QFXC.?¤:]\C]^9[]ggR5>8R=>R} CEZOm`V[EZ¤?AF55>kh6C]\6|^96n?m¡[]`?m;Y5h 6969ê7_78~:Dë;Y5>ìpí[E=@?AZOî>69?Që;B<C]ïCE8X?A?5lðqZAñ5>=O^|òECE5ló?ACj5hô.ZA^9kLmXxFH}$m;Y;YZA8¡5>[<kQ\[<FR^|g;5h5hZ._kL~Y;69?A8RZAF6|B7[ECEZ?bdrsFRcHC][]eo=ZA\?OZQ5>Æn´lCE5>±j8R8&Ès=@f~`Vrs[EgZA56n_?A5d=OCEFR69?A[l8~69r[<?A5h85l8R=d¡=O6969?A=z:DF5>C]Cj^n8m ? ??Am;69[]Y8R5>=>kL}Fxs5>kQF;Cj698?B{k>^|69C]=z=O=;5>69=k>6|69R8RCEk>\R[]^9_75.Y`p[]CEZZQCEC{\R^9k>55hrZO?Q6nC]?A69F{8?Ak>FR^|5C]=Ok>=z^|C][E=O`=?O[]ZQ`¹C]8?OZQ=@C]`V[E8RZA=@_`p[]CEZO _CECj?Q?AC 69[<:]8RC]=^9gR;5h69=O=>k>yRgR\=Og=O?5l¤[<8uFR5h=OZAg5<kLy<F{=O69?O8RZAk>5>5s5>=6n??A[<FR85h^nm$m.CjCEZAYR5qY_7^|695>[E=ZA?A5d[Y?O[lZArs5>5>5h=ZO`prgR6n^?A?AFRF[<C]g;8 ? ?A698;F`V55hZAbz5>8cHk>5te`VÅd[]Zue C=@?m;_7^|5d[]ZA?O5uZQCEZA8R5>=@=@`p?O[]ZAZA69_kh?ACE5l?A69[]k>8R^|=C]=Or=&5[]k>`q[<bz8=OcH6;e¾5hZd?OFZQC]5hZA85<=@}`V[ExZA_m;YCE5 ?A5L69;[]?A8R5h=z8¡69=z?Ak>F[<5.8=O?6|m;Y5h5>ZA=z5l`pZA69[]8_aÆ µ<ZAµl5>È®B<}7g^xsCjFRZ.5 YRCECEYR?AFY;ZA5L[DC]Y;kQF¡ZA5>=O?Q=OCE69D[<5>88t=q?A?AFR[H5hkhZA[<5¤8X69?A=5h~?A[? `ZA5>Ì 5B]ZQ6nCEÍ _75hZA_5>8XCE?ZA=sCE?AYR[ Y;ZA\[D5zC]kQCEF-\R^9?A5d[{?A[ ?m;5hY;5 Y;ZAkQ5>FR=O5>=kQ~k>5h6|8ZO?QB&C]69bd8HcH698;e`V5h?OZOZQZAC]5l8{=@?`Vm;[EZAY_5>=>CE} ?A`pgR69[]88Rkh=?A6969[<=8?QCEC]^ <5>^CE88R\~B]mdgC]bwB]vd5dg6987k>5?AFRÆn´l5wõ~=@yR?´>m;ËE^|Ȩ5}[]b`vdcHgRek>5Æn´l69=²jȨCyrB]5>F8R[<5L=OZQ5C]^n?®m;YRYg5>ZA=sY[]CjZA=O55 `p5h698gR=O=OBw85>khCE8X?ABD?A69[<C]6CE8R698^9==@m¤?klvzCEZA8H5>xsB<\vdg5z^|=CE;Zr5h5h6n?A;F.8Y5lZA?{5hm;=OY[j=O5>6|:D[]=5L8RZ=>5hbd}k>bw[<cHgvde-YRg^95lk>qCE5?Q`YC.ZA5L[<\XZO_¾`Vm[]ZA?QY_7CECjB<?O=¹=>?A=@}5h?QZA¸CE8&?A5>69_k>kg;?CjZAm;?A=OYkL6|:<F;5h5 `p?AkQgRFFR855hkLkh?~?Am;6969[<Y8R8z5>B7kQrFR`V[E695h^|ZdkL;~?ACE69FR^98Rrs5hB=OC>5¤mC]^9=`VB<g\[E8RZA5kh6n?A[E?AFR`69[]_'?A8RF=>569y=kh:D[<^CE5h8RZA69^n_76nm`pm;5l=O69z[]8RgRB7[<8g?A ?AFRYy<CE8g?w[]? ?A??Fm;k>5¤Y[]_75<[]}gYRw?A^9Y5h[l?Agrs5<?i5h[]:D[<`5h8ZlC5 y ?A4k>FC]875qFR69ZAr^ 5{5>ZAf~6n?Ag?AF56nZA6|=¤695l8u69=¤bw[<5hvwg;?AgRYYk>5>g5kL??ACw5l?m;`pgRY8R695<8ÝkLy?A\CH6|[]g8 B]?5>?A?A8RFF5LCjCjZQ?s?wC]^nCE?A®^9YRFRrsg5C>ZAm?Ym;=[]YZA=O5>5$5hkQ?AFRg^|CE5hZA8RkL8DB<=gR5LZAZC]5hB]=OZAgR5$5ö@^n5>?A?Akh=F?ACj[E=>?`} k>5h:DC]85>8&5h;[]Y8HZA=O5>69=O_7=YR8R^9[]5w8`p¨gR?A5h8RZAkL_7?A6|69[]88RCj=?A69?A8RFBwCj?`pgRCE8RZAkL5z?A6|5h[];8RY;=>ZAyX5>?A=OF=O695\R?^9m;5zY698¹5>kLyF=A5>ClkQmXDy;5hbdZcH`JCE6|e^9= \;Åd5>5ek>6|=@yR?OC]ZACE8R5>\R8-^95uB]?A`V[EFÆn´lZ.5>±j8RÈ®r}{5lFR 69}u8¡kQFxs[Ers?AFFR575{5hZzB<~[D8RrCE[l[]^srZQ698#CE=>^nybwZA5lbwvdC<vd~gmgk>57k>?A5<FRF÷ =d[lCjr?¤?m;5>?Y:Dm5h5>YZ¤kQ57FR5>kQ6nkQFRÍ D5h5h5hkLZAZd~=69k>8R`p[<ZABug[]_^69 = []\g[EZA?A=>FHi¤`V[EbwZvd?AgFk>5¤5.CE`pYR[XYk>^|gR69kl=O5>Cj=¤?A69[<[<8u8r_ZACE6n?A~5h6|Zd8B&CE8?A&FR5¤`p[]?Zm;Y?AFR5>5kQFR^|5>C]kQ8RDB]5hgZCEY;B<5qZQC]6|kh_7?A69YklCE^95h^¨y _7^96 _75h8~6n?A?A=5LZl[]y`r?m;FRY69^5>5HkQFR[]5hgkLZ7~69rs8RB;[EZA} Ý69=7_75lCE8X? ?A[-=@?AgR;m#?AFR5$?AFR5>[EZA5h?A69klC]^ ²=@lm;Ȩ}=@ø?Axs5h5>?¹_HFRC]69=y8\=@[]m;?AC]F=@=O?A5>5h5>Z_'CE[<YR`p8#[]YZZAgR[<=O8C]5>[]kQ_7ZQFd;69=@?A5h?O[sZAZA5l?gR-m;khY?A?g;5>m;kQZAYFR5l5> 5>=>kQR}&~Cj69ø8R?QCwBsÌ 69Fx=¹CEe»?Q=CECED¢V?A8 5>FR8d[]5\XZA69mfXB]g6|ø 8R5hÌZOC]m-^x?^|mÆnCE´lY8³;5 y B]C]g_7CEB<6n5u?A=s698Ý?m;Yø 5dÌ 69xw8;`Vy5hkhZA[<5>8_.k>\5<69} 8R698RB¡RCj?QC]^9[<B-r6n?AF;D[]^|5h_ù`Vg8Rkh?A69[<8=Q£ \6985hB&x5>8&m;CEY^|k>5q[]?8Rm;69=O8;Y6|`V5>5h=5LZAZA5>`p5l8[]$k>Zd5z69?A8F`V[E5¤Æ9Zw´>:]¶E?ACEȨFR}ZA5z6|xsC]:]\FRCE^95dZA5>6|=wY;CE\RZA`V[][<^95>gR\R=w8R^95>t[X_ kh69k>8?AgFRZOC{5hZAZA69f~8R5wgBk>5h[<69ZO8t8m =OiC76|=@?A?AfXFR=gR69=w695h8ZO69m{=zFR;86nC]~`p= `p_5hZACj5>?A8X69[<?8¹`p}ZA[]_a6|8;`V5hZOZA698B&?AFR5 []g?AYg?z?m;Y5¤[]`CE8bzcHeo?OZQC]8R=@`p[]ZO =@ú ?OZAZQòj=@CEû?khíR=O?A5hü69[<khýp8?AþD69=í[<8îl[]ýp`ñbdü5h:DcHôÉ5>^9eH[<xsYFR=[X5?Ak>FgY5_7CE\RY5>C]8X5h=OZ&?A69=k69C]=$`p8ZQ[]CE¤ZA_7BDvz5hCExsrs8R69vd[Eé>ZA5l=> y~yDCE6|C]88={¤k>^9`Vg?A[]F;^|596|[l8:]rBzCE=>ZA[<}Ü6|g;CEZs8~xs?CEF\[E5 ` bd;5>cHk>6|eRCEÅd\R69e^ 6n?gRmu=O5>CE8HCE=d=O[]C_7fX5zgRk>5h[<ZOm&_7^|YC]^|8R5LB]g6n?CEm$B<ZA5<5>}z=Og;^n5>?Akh=>?A}69[]c&8¡[]ÿ7ZA5qY;ZAk>5>[<=O_75>8XY?A^9=5h;?A69F?m5 ZA5h=OgR^n?A=CEZA5YZA[j:~6|5l7698$;5>kh?A69[]8{Ê;};5>kh?A69[]8&õzYZA5h=O5>8X?A=?AFR5gR8; 5hk>6|RC]\69^|6n?m$ZA5>=Og^n?A=>}xsF5zYCEY5hZ5>8;=sr69?AF&\ZA695h`k>[]8Rk>^9g=O6|[]8R=>} ?AvzFRxs5t4v.YR5yRC]69C]Y8X8R5h?O$ZlZA[~ybd698RgcHk>k>^957egRFRÅd695h8ReZAB#57} ?A[]Fg5{Z&\RC]C]\R=O=@69?OkZQCE`V[]kh?AZA69_[<8CE=H^96|=O[]_Û`qbzgR=OcH5>-e'?A;F[XZA[<k>ggRB<_7F5h[<8~g?l? y gR_7$í_75>8X5hî>?A8~í=>?Ay=>îh}ÝòE?AFRë~xs5hë 69<FZôu5h?QmovzCEB<klCj=>C]?QywY;C$?AC]g?O8ZAZA5>5{5>=qR?AFRCECj5H?QZAC578:][<5>C]=@g?A^9Z¤g698R5>CEB=&\R=@=@CE?O?O=OZQZA=OC]gR[XkLkhk>?A?A6|6|g;CE[]?AZA8#5l5H[][]``wrbdbz6n?AcHFcHeeß?AFR5>5>[X_H^95hkL } 4GJÄAMA5MzR[jH:D5hC]Zz8t69886nR?A578R6nC]?A5¤^9YR=OFR5LC]?d\[]5h`? R»Cj?Q69C7=q:<C$CE?O^|gZA695>YR=d^95 ;5>8R[E?A5lu\Xm 7} rÌ F5hÑDZAÁ]5 G®Á 69[]=q` C&w?A[ 8R6n?A5 y[EC]ZQ8 5hZA5>¡?O69ZA=¤5>C$5<y _C]YRY69698R=¤BC$`pZA_[<_aC]YR?AYF698R5.B$8R`[~ZA;[<5>_a=[]?AFR` 5.8R?A[[~75h= } ZA?A[X[{69[]:D5>?5>^95>8\X_7m¡Cw5>?OÄ8XZA?A5>]=w5 G¨¢69LO8 yD£L}qrsÜ54-C]5q=O5h=O8RZA69B<5L[]8`V?A5h5l5Zzt6n?A?A\~[{=m =O5>5h^9?5>_7[E`5>C]8R8X=d?A[~=wR5hCE698=?QC\X¾m{:]C]C]U ^9=¤gRlÑX5>G®Ál=MLW]ÀQ[]¢ÀA` £[]h` C]}z8R¼.CE[]86n?A?A 5= ?A8RF[~Cj;?5<y~rs=O5q[qR[ Cj?Q8Cw[]?O?ZAZA5>5>5>=@=s?OZACj69ZAkh5?g?A8FRZQ5zCE8~8RgD_.5l \}5h4Z[E5`;kL5>F8R69^[E~?AZA55>?A8HF[E5`=O5hC]?s8Xm&[E`B]69:DCE5>?Q8C ?O[jZA:D5>5h5>Z =¾[j:D¢V5LrZ 6n?AFR[<\Xg;m ?RCjw?QC.}:<xsCEF^9gR5w5>=O=Q5h£s?s69=[]`R5>8R86n[]?A?A55l{^CE\\~5>m ^95l$[E} ZQ5hZA5>?OZA5>5h= ?5hm;ZQCEY^6|88Rë Bt[E?A_769íR[<5>ü8RkLï=¤FRC][]8`6|?=Om_ÛY5h`V<=[Eô'Z`p[]bzvdZ.cHxsRvdCje?Q=C&C][X?O8RZAk>5>Ýg5>_7=>?A}tFR5>8X5>xs6n?AZ{=>F}#5 :]CE4RZAZA6|C]5=@8X?¤r?Ak>=6|[]^9ZOYZAZAgR5>[j=O=O:~Y5$6|[]=O85u5>;:XC= ?Ak>Ì FR^9[<5Lvz=OZA5h5hxs^9`Vm$[Ev»ZA?A5[.kh[<¢J?A8R\XFR=Omt5z69=@=O?Avd^9=6 xsB<[EFXvd`?¤CE=C]8$Y\ZA5hgR[<~=OY?A5j5>[]£d8R=O5lk>$[]5l8~7`p?A[]69k>Z8~[]gR8Xbz5¤?AcH5h?A~[He?O®gR`;ZA=O[X5>5 k>5gR?AB]F_7ZQ5 C]5>_78X=AC]?A_=>_7yCj5.C]Z 8RÕ ?A$5L[jZA:Drs_H5h5Z } 8R69C]=@^9[]Y85>F¨=.C]?A5h\CHZA5L_7?vz69xs8CEv ^X¢Vr=@Ûm;5 _._6n`\C][<?A<^9FR=Q5.5 £L}8R?OÌ[&ZA5h5 69CE=@?Q?AC698R?OkhZA?A5h695[]8z69\=.5h?Ctr;5>5h5>ZA869:<?ACj5h?AZA[j6|_7[]:D85h698Z ?OC]-ZA^5>5=ACECj8[]?O ` ?AFR5wB]ZQC]_7_CjZl}°R[]Z5hCE_7YR^95<y~?AFR5w?OZA5h5 2. BASIC FRAMEWORK # $ %'% + 2 46587 ! ( ) -,).0/ 1 &% " * 3, . 9 4 : ; < ( ? >= * a b b c e ¬ 69=:]C]^96|rz} Zl} ?l}?A[?AFR5vzxsv.i ¬ xshFR¢JÔ5£L=O}{5h?.¼w[][E`?A5 R?ACjF?QC&Cj?¤?OZAvd5>xs5>=¤vd=A=CE?AYR69^|=@C]`pm;k>57698R8B¡[&CHZA5>vz=@xs?OZAvÜ69kh?AÔ#69[<8o69= []8-5h8R?A[]FR?A575>CE\~?QmC :]C]^9wgR=O5>gR=C]69^q8HvzC.xsRvdCE?Q=tCqgR?OZA=O5>5¡5<yRZA5>C]B<8g$^Cjk>Z-[<8^|CEk>5h8RZAB<8HgRC]5hB];5>k>=¡^9g=O?A6|[:<5>;^nm{5>=O?AkhFZA695w\?Q5C]B]?A=>FR} 5C]^n ^9=O[lYrs5>k>5l6nßRkl=OCE5l?AfX69[<gR8¤5>8_7k>5>5>={kQF[]C]`¤8kL69=OF_769^=~ZACj5>ZA8ß5=O[]g `¤ C#k>695>8R8X[~?;695<8¤}ª_CE8X[lrsmz5>C]:DY5LYRZl^9y6 klrCE?A5l69C][]D8R5L=>Z } 4_75>5¤kQFk>[<CE88R=O69=O6|_75h=>ZyX?A5lFCEZAkL[]F7gRm;B]69FR5>[<^|g;69?d8RBq?AFRCd5¤ZAY5>CE=@?OYZA5h69khZ?A5l=O5>7:D~5hZQ698CE^ =O[]gR`¹kQvzF-xsCEv.^9?A5L}DZAx8[qCE?AgR69:D85 k>[j[]:D5L8R5hZA=@Z=O?Q6|C]C]^985hYRZs FRCzC]?A\F^|[]55hB<? ZQ69Cjkh®?A\69kl[<CECE8=O8CE5l^97\5d5Y\[<:~5>6969FR8X5h69r?8R5l[E.7`?A:~C]FR69=s55hrz^9ZA[]5>}B<=@69?O°klZA6nC]69ZAkh^=@?A?l=@69?Oy~[<ZA88g[]=>khy?A?A56ng??AZA6|F5h==CEgR?[j=O:D=@5h?O5h`pZAZgR69^R8R?AFR?AB][5= :D5>:D[X5LklZOCEm \Rg^Cj$ZOm69=C¤gl8¢ CjZOm{£ ZA5h^Cj?A.69[<r8¹FR} 5hÌ ZA5 =@¾?OZA6|869=zB C7\R698RCEZOmHÕ ZA5>^|Cj?A{6|[]698=ZACE5>8Y; ZAr5>FR=O5>5L8XZA5?A5lßÜ\X69= m?A?AFRF5&5¡8R^9CE[<?AB]g;69klZQC]C]^q^[]=@?OZQZA;gR5hkhZ?Ag;[<ZA8 5X¢ ´ D´ DyC]8Rh¢ `p[]Z£ 5lCEkLF £ ^|ÞC]y ZQ8B<5LgZ.CEB<¢®cu5>= CEÞzZA695Í£^95h[]B<C]69kkhÖ?A^nm¡[]8H?AFR?A[<FR}=O5z5{^9[<®;?¡B]5h69kl69=t8RC]^C]rs\R:D^95>[X5^9k>n®C]\X~\Rm#8Rg[lc&^|rCEZO[]8»mH8C][E?AF`69Cj=@k$?¡?OZA;6|ZA85>5hk>B<B<[]=¤gR8^|Æ Cj~Ê;Z y ZAÖÕ 5>cuB]8.gRCE^|ÞÝ8¤CEZ5L69=5h;;R?A5hYZA8=@ZA?O5>®=O5>[E=OqZQ69[]ã 8R5hZ=^|[j[]yE:DB<?A5h69FRZk5?ACEZAFRgR69B<5wB<FX_7?A?O5L®5hZAF8~_7C]?A8R5>6|8RwzC]r=O^9=669;?AC]5>F¤8R=fX$[]g`R8RCEY[]8~ZA8?A[~¨6nR;?A5hgRklZACEkh_7?A?A696969[<[<888CE=[j^9=>:DCE} ZA5h5Z =O5h?A=>} d '@A CB DEB GF3+@AHF D @AI FJI;@ HFK2@LH MONQP )R M :VXW TU Mba V W $ TSU< OVXW YWZ.8[ cde] hgCi f JU \^]_ BBB ` S C B'BB N [F'U< OV W W)ZG. ^S C BBB N [ 7_=@´l?OµjZA[]Ȩ69}$=@8?B<wvz=q[lxsklrsC]vd5>8:<=>5h}\Zl57y8?A5LF_6|Y;=C]ZA8X5>69m7==O=O_.kl5lCEg=O5>kL=OF=>6|_7y~_7?AYFR^n[]5m¡ZA5 ZA695l8#YfXgR[l°r6n6nZAZA5h5l=@ZO7?O`VgYÞ^ZAZQ[]?AFY5LCE5hZ¤ZO8-?A^969[]85>B<=s5>695lkt[]`5>¢¨:<°¡CEÞz^9\X6£Lm } B]kQxsFgFCjCE69ZQ=B<C]5>khkh=>[]?Ay5LZOZAklZA5>6|CEé>=O^|CE9Y5l?A[]69[<88ßÀAG®=Á][]?AÄL`[.Î L=@ÄAC¤?QMACjM$rsZO¨5>Æ `pµ]^9ZAnËj5>®È¨~5t}t8R^|[lxsC]r8FR8&B<5hgZA=O5CEgB<\R695>=¤=O=>5hC&i¡?^|?A[EC]FR`8R5h?AB]mÝFRg5wCECjB<ZAZA5u5h5hB<¨?AYgRFRZA^|5hCj5>[]Zk>ZA69^|=O5hCE5>?A8^n69mk \;CE85>gR=O69kh^| ZAk>69[<\`pZA_75l[<¾_Y^|5h\X=O_7m698R5>B<?A8X^9FR5?l5}q=@m4-ÀA_¤G®Á]5.\ÄLÎkl[<LCE^9ÄO=s^9MAMÝCEvz8ÄA xsM¨W]vwÒ;g=zÐ9Á]=OgRÄ698R=O69BqM 8RLk>B$K[<ÄA[<8ML8RklÀAÀACE^nmtT ?A]5>U=@8R?QÀQCECjy.?AZO69®r[<`ZA8FR5>y;695 kLgRF·ZA8R5>69B]Cj[]gZA8¹5 y ^|vdCjZxs5hvd;=YC]ZA5>=z=O=OÄA69M¨[<W]8Ò;=zÐ9Á]ÀQÄ G®ÁEÄhÎ LdÄAMAÀQM } zÀAyC]8Rr5wZA5h`p5hZ?A[.g8ZA5>=@?OZA69kh?A5l =O8Y[~4-5hk>5<6n5$`pywm#r\Rklg;69^Cj?HZQk>;[<69[X885>CE=O=&^966;?8m5h[]Z{?&k>C][]ZA88R5h=@=@5>?O?OZQ:DZACE6|5hkL6|8Ý8X?H?A=O=¤?A69FR_7[<5>8-YR6nZ&^95h?A[]Z FZQ5k>^|5L?QC]ZlCE=O}B<=7=¤[]~[]`wgR`kQvzkQFFRxs69vzvd^|;xs=>ZAy5>vd8#r=HFR[ECj69`kLZAFC5 g[E`=O5h?Q`VC]gB<^d=$5>6n69?A8FR5L?AZ&FR5ur[<FRg;5h8?AYRg;[EZQ?$695h=$Z&F69=&CEZQ6n~ZO¨ZAr5>^9695>ZA:]5>C]8X?l\~ywm[E?AZ&FR5urF=@5>m;88X?Q?ACEFRÝ5[][]`ZQ?A;F5h5Z 69fX°8g[]=OZ{5hYRZO6nm5>ZA:D5lC]5h-8RZOm 7\Xmo=O[¤Æ µ~kl´LCEÈ®8$}&\xsC]5FR8`J5.CEkh=@8?Am[]Cj8XZA?A?Q5>gCj$ZQ¡C][<^[Eg;`s8~?lgR?A}FR_¤45.\5^5hCEZgR8R=OB]5wygCC]B]^9[]5B<6|69CE=qkz8CEkl =C]^9`p5l[<^9 [lrCjZA=>5 }y ?ACEÁEF^9G =O57[ .8R`VT¨[]5>N ZAB<_¤CE?AgR69[<^|C]8E=>yÄ} ¤k>Ì [<Ò8ErsÐ9ö@ÁEgR[]ÀQ8}ZQkh ?A69º:D[<5L8ZO[jym.:DC]5hCjZ8R?A[<_7=A6969ksCj=V?Aö@`V6|g[E=@8RZAR_.kh5>?A=g69[]^C]Cd8#8H69[]=Cj`?ACw[<`V`V_7[E[EZAZA69_.kd_.g`Vg[E^^CEZACw=._.C]Cjg8ZA^C5 ;;5hCE?A698=@6n` `J5lCE 6n?kh?A69F8 69[<CE8Ý?A=FR5h5[]`w[<CE\~kh¯?A:~[X^n69m [<[<^9gR5l=CE[X8rk>k>C>k>gmX[]ZO} _.ZA5hÌ \R8R=s69k>8R5>CECE=87?A[]695h[<` 8oC]yD_7[]C]`wYR8CE^9¤5<?AyD[]=O6|k>_7_7[<69869k$^|=OCE6`VZA;[E^n5hmqZAZ_.`V?A[EgFZ ^5 CE=.69= } `p[]ZA_¤gR^|C k>[]®Y;ZA[~gRkh5hZ Õ ÛY;ZA[~gk>5hZ Õ [XB]xsgkhFk>CE69g= B<Z$5>5h=s;r5LYFRZA5>Y;5>8ßZA=O5>=O5h=OC#=O=¤5lY?A ZAFR[~6958{;k>gR[]k>e$8R5LZ&=@k>?O[]ZQ[XZOCEk>ZA6|kh5>8Xg=O? YZA=>[]?A}FR8CE7?.ÞwY8RCuZA5t5hk>k>[]69kl=O®CE5>Y8^nZAm [~kL?A;F[zgR5>k>YkQ5LÝZAZ []Y?AklF5hCECjZO8?A?&695>[]^|=CE8R8^n[Em ` =@Y;?OZAZA5>g=Okh=O?A5lg.ZA695h87=°[E:<ÞÝ5hZr?A6nFR?AFR5[<:Dg;[X?klCEgR\R=O69gR8R^|BwCjZO?Am F5s[]ZQl;¢ 5hZZA£ 5>^|CE?A69[<8?AFRy CEz?}k>xsC]8qF~g\=>5sy~5h~e `pZA[]5LZA`V5h_7Z=?ACw[ 8RvzCExs?AgvdZQ=CE^g=O=Og698R\B.k>^|?AC]F=O=5z[]^CE`8R=@?QB]CjgZOC]¨B]`pZA5 5>5ZAÝ5>B]C]gR=z^|CEÒ~ZU 5h];Ä@YÑXMLZA5>ÄAMO=OÑ=O69[]8R=>}z4-ÀA} 5 4-CE^9=O5$4-[85-Y;5hZA~FR5>?qCj=O5>:<k>8X5¡[<?q8=O69=O[8#6;`J5h_7CEZZ[]CEZA;5 8#5hZA[]5>8ZOk>?A5l5hFR8~[]?¤B<vz[]vzxs8xsC]vd^qv=uM Y;]CEGZA8ML[<ßUYÀA[<=OT =A5>]CE:DU^95h=.ZQ[ECE=O`^zgR\kQZAC]F#5>=O=@69CE?Ok{ZA=¤69vzkhbd?Axs69cH[<vd8Re=>=> }y vd[]~8RkLxsF^nmvd5>_[<=>8{i¤C]=>?A?A}zFFR5>5xs6nZ¤?QFRC]69=zB.5h69R6n=d?A8R=O_75>6n?A^n`69[][<?AC]8698:]CE[E?A`5l8R?Au[EFR?5 \X[<mu?8m;CY?AFR=O5 5>5:D[Ek>5h`[<ZACH8X5¤?A^9B<5h6|~69_7:D?5>6n?Q8¡698Cj?A?Qr6|C][]BuFR8¡69kL;[EF{5>`sY6n\R?5>C]8[X=O;kh69k= kh69=sg?AZAF=>}5°R?O[EZA5>Z5 5hC]_7¢ ]YR¢ ^9£5<yE<?A¢ FR;69£O=£_7klCE5l8RCE8R8=[]??AFR\CE5w??AFR5>=O5kh=OZA6|698\B<5l^95h?A\X[]m{8 Cqvdxsrv.FR5hy~ZA\5 5h k>EC]} gRxs=O5F69?A=zF578CE¦?A?g;m;ZQYC]5>^9§znm[E`^|5>?AC<FR5s=d?AZA[$=@? C]8¡;5h6n~Í ?A5h5>ZA8R==O`69ZA[][<8¡_'[E?A`sFvzCj?xs[]vd`=d?AFRr56n?A=OFo5>khÀ¨[<K8Mh Î C69ENh8^9TJ|B Á<[lÐ rT[<l8&=Á]GJ?AT F]5hUR5d8Rk>¢¨69[]C]8R8~^9B=O?A[t5L?A;FRkl?l5C]}^9?°m;5l#[]YZA5w_[E5hC]`k>^9[<nCmXgy~?QYRC]rs^9B 5l5\XFm7?Clm;:D=OY5>5]5>:<i =Q5h£wZQC]r^FR¦69klkLCEF=Oy5>=O698X§7?A;gR5>6n?AY69:D5>85>^n~mX y Ô '¤ä¢ pè ApÔ æ誵X£ }9´<} PMLÉÄAM =OY5>k>6|C]^96 é>5l ]Ã]MLÄ TVÀ¡ÁÝGJÒjKÐ|M ÁEUÑ Á]ÄAM URTVGMqÁ<Ð KPÁ<ÏLMLGJÀ Ô TVÀÁ ]Ã]MLÄ ÁEUÑ TVÀdÁ ÁLKDKTpU~W QÄ 'G GJÄAMAM ]Ã]MLÄ ÝÀLÁ]GJTVÀ MLÀÁÀ¨KMONhT¨Á<Ð T EMOÑ #Ô T ¢ h¢JÔ £O£ ?A;8X695>[]?A8R8RgR[E=6n?A?A[E569:D` \X5>m^nmXyE78y C]?A_7FR5Y5h^9ZAFRmw[j[]:~?A_7FR6;[<[<5>=O_7=5 []`p[]ZAYZFR=O69[<=O_7_5 `p6|[]8RZ÷ =rg69Fk>8 5l6|kQF [<C¤8q¢ =O=@5L?OZA?£ 6|8[]`B<==OY}¹CE5>84k>z6|5C]?O^9ZAC]6 él5>^9=O5>CE[ = Õ45¡5>8[]?A\X5¡m C#¢ ?OÕZA5h5¡r6n?AF£L}ZA[X[]? oCE8=O5lfXgR5>8k>5[]`¤=OgR\?OZA5h5>= : j j k ml O% 4 8 v%xw t d M 3\ y " u d g 0& ¬¤ v±¬²< SU< OV W WZ. [ ;pq k ~} ² O% ; h ;n-oQn% -w % z | BBB ` < " v% } XnmoQn 8 j8 a MONP * a J BBB ` y : ]^ x j &% Ç ?¦ © ?$ 6Ç a ° ¬Ä*¨¹« x T¦ © § © 2 v O% ° ?¦ © ?X w $% { yj %xwc yxE) E¡Gx¢)E¡ % 8% O% % %j m¸ µ j% &% k O% T%j j% ¶w9À ?¥ © ¥ © « -%Yj ¥ BBB ¥&`¯j %xwÁ v± Xº< NàÀ a ÁºAS¥ ' BBB ¥&`h[ j z% k O% ¶% 2% ¿ z% Ä*¨Å« ° ?¥ © ?$ 3¥ © ¶ {% ? « %j Æj %xw¹ v± º; O% nmoQn% %x ¾ k ¿ g 0~& y m] vy? O h < -nmoQn JS'{[ '|y D ?Y I y¨ *§ © ]^§ ' BBB {§Eª « 2%j &% ®¯ ]KSE§ B'BB {§ ª [ s £q« +° ?§ © *j% %x % GC {% %Yj "%j {% O% o %'% 3 &% ;³ ' % y J´ z% < v± "% j ± {% ?%xw z% % ¬ v± o ¶% % « j% ¶w9¥(] ] · Y¸¹ <¥ a v± º v± (º»¼º½ zU &% £q T¤ ± u B @ +CE) E¡CC¢)E¡ < J¥¦&§ B'BB ypq u 2GCG GCG CE E¡GC¢)¡ b&u d 0 K CC 3prq M +)t d & 5 :CE E¡GC¢)¡ j 2n-oQn 6n-oQn s a "pq j% ?w X\YmZA5hk>69}z=O5>^nm8~?A5l5LfXZA5>gR=@69?A:<69CE8R^9B<5>^n8XmX?y?A6n?[?AZAg5>B<ZA8Rg=^|CE[<Zsg;?O?wZA5>?A5wFC]Cjg;?d?A=O[<Y_5>khCE6?QCECz^96|éh[j5l:D¡5hZvzgRxs8;ZQvwC]=d8R<CE5lZA5 ?OCEZAZA5>5.5>=7CÆZAÿ~[]y\Rµ]gµj=@Ȩ?z}7C]xs8RFu6|=z8CE69=z?Ag;_7ZQC][E^ZA5.=OY5>5>:~kh6|69R5>kl8CEk>?A5¤69[]8-?AFR_7CE?z5>=OkQYF5hCEk>8R6|69C]=O^9_H6 é>}5l4-vz5qxsrvd69^ = k>=@?Q[]CE8RZO=O¨6|`ZA5>5h5Zvz=OYxs5hvdk>6|C]=>yR^96 élC]CE8?A{69[<gR88[]698ZQk>5L[<ZA5l8E$ö@gvz8Rkhxs?Avw69[<=>8o} r6n?AFÝZA5>B]gR^|CEZvdxsvd=>y =Ok>6|^|C]g5hë Z=O57CEZAC]58Rë~=O¡ò gR\C =Oì5hí?Aü=û[]`¹bzíRûcHë e khÅd^CEe-gRô=OÆnxs5<´<}.´hFȨ5{xs}xsFRf~g5 F5h5ZOm¡fXg^5hCE&ZA8R695>B]k>=g^|C]C]FRgB]Cl=O5>:D5 =¤569r=C 5Ck>?O[<ZA8;5>5 Y\Cj5>^9?O5l?Au5hZA\X8tm$rZAFR5h[<B<=OgR57^|Cj8Zz[~YCj5>?A=FuCj5hZA;5 Y:]ZACE5>ZA=O6|=OC]69[<\8^|5h=>=} C]Ì 8Ru;r69?A69FR[][]8=OC]57^9n5lmXyRB]?A5>F=5hZACE5qZA5._^ClCjm \xs5FR5k>[<_7YRCEZA69=Ok>[<^|8CE=gR[E=O5t`69={CE?QgCz=O:]5lC]^9gR?A5>[-=5hC]~=O=O?O[XZQC]khkh6Cj??A5l\{6|8Rr6n69?A8RF B]=?AF[]5`d:]?ACEFZA5H6|CE:<\RCj^95>ZA=>6n } C]\^95>=>yw\Xm&_k>CE^|C]?AgkQFR=O5¤698=OB-Y5h?Ak>FR6n5u5>YR=CEFR?O?A[l5hrZA8?A[7698Xk>?A[<[8=@?A?OFRZA5ugRkh69?w8YRC]g8t?CE?O8RZA=@5>rs5]5L}'Zxs?OZAFR5>55 `p_ZA[]C>_'m-g?AFR=O55\R=OgR698R\69fX8RgRB]5L=>ZA}6|5h¼w=>}&5>=@4?A6985Bd^|69CE=?A5LCEZ.^|9[lk>rs[]8R5>=O6|i?A5LFRZ 5 =O5>:D5LZQC]^5L;?A¤5h8Rk>^|=OC]69[<gR8=O5= C]8R4{ZA5&5>=@8R?O5hZA~69kh?{?A69[]5L8R=8R[]5&`[<?AFRg5wZ{^\RCEC]8R=OB]69gktC]fXB]gR5<}5hZOmo^|C]8B<gRC]B<5]yw;5>8R[E?A5l } 4[]`5z:]CEZAu6|CEC]\R8^95>=CE^|¢¨YF5>CE8\[]5h?A? 5l C]8RCE=O=OgR_7yY5[<B<=O69=O:D69\R5h8t^nm$C]=O8tgR\698=OkhZA869Y6n?A?A5q5lR=O5L£L?} Á]Ä ÁTVDÀdÏ>Ð|qÁMLÀäK;TVÁ]U pTpèÄ Á]Ä æ¹¹è Á]UµXÑ}ÀAµXÑXÒ}MLNQU PH]MLGpGGP;M Á]GsGpPRDM Õ <Õ ÐV TV UXW.ÏQMP <ÁdÐ9ÑÀhM hÒRMLUhNQÒRM MLÄQsI ÃEÁ]¢ ÄQXTJ£Î À>U MLlG ÑXML¿¨GpzÀPRTVNM U ]UÑECjTVGJZ T ]Á]UUÀN>Ñ7Ð9ÁEÒ;¹MOÑlÀhPWXMMz¡MLÀwGJNÄOÐ9]MQÁ<MwURÏLÀAMhPTVÐ|Á]ÀAMOGJÀdÑ À ÄÏhI.H]GÁ¤Á TpÄOU M®W]UÒ;TVÐ9GÁ]Á]M&ÄdUGJÑM ÄALMAÁ<KMtÐVÄOMLÁ]ÀQ]UÀAGpÑPRT EMLU ÁÄ ]NhÒ;Ã]MLÄQÄQÄ TVU~W$TVU MqÑXMLU Á]]UGÑ$M.N Ïh]I URÀAT¨ÑX;ML¢ Äq¾À £wGpPRM MNAÀhÁ]MLU G ]URwTJNQÃEÁ]Á]Ð ÄQT¨]ÁDÄOÏ>ÑXÐ|MLMLÄQÀ TVUXlW N>Î ]]U Ä ;¢ 1¾£¢ z£ ¹PRMuPRN MLEÄAUM Ñ]TVGJT ]URÀ&Á]ÄA;M-¢ ¾¿¨TVU<£ Â<M h«ÒÁ<Ð Á]TVGJUT¨ÑMLÀ ¾$TVÀqGpPTVU M ;¢ ¾£ «Ð ¿®ÀGpPM tN>Ð9Á]Ò~ÀhMÂqTpÀwÁ URTpGMGJÄAMAMdÐ9ÁDÏQMhÐ|MAÑ7ÁEÀ <ÐnÎ TVUR]ÄGMLÄQUÁ]¢ ÐwU£ lÑXPRMLÀ¡MLÄAMÁ]ÄOM¡TVÐ9ÀqÁDÏQÁ7MhÐ|ÀhMOMÑhÒÏhMLIUNQM M LKÄO¤MLÀQÑ]ÀATpTÀQEGJURTpUÀ NhGtÃEÁ]GpÄQPTJMÎ ÁDÏ>Ð|MLÀ Õ Õ LÄ ¢ »£ ³ tÁ]UÑ Ð|ÏhMOIuÁ Á]UU l]ÑXGpPRMLÀMLÄ Á]ÄOMÐ9ÁDhÏQÒMhÐ|MLMOÄQѤI Ïh;Iq¢ Á]UH£ M LKPRÄOMLMLÄOÀQM ÀATEUuTpÀ Á]ÀÁEÁ<À Ï EÁDÃ]Ï ]M Ã]]M Ä Á¤ÀhM hÒMLUNQM wÑ]TVÀAGJTVUNhGÃEÁEÄLT¨Á<Ï>Ð|MLÀ LÄ ;¢ ¾£ NQP~ÑDTJÑ]Ð9Ñ&TpGJT Ð9]ÁDUÏQMhÁ]Ð|ÐVMOÑI ¤ T¢ u~£ Á#U lPRÑXMLMuÄOM TVÀHÐ9ÁDÏQMhÐ|MOÑÏhI ¢ Õ £ÁEUÑ¡PÁ]Àt]ÁÄ .¢ ;Ò~ÀA£ G lNAPRNhMLÒ~ÄAÄqM Tp-U TVÀ7Á hÒRMLÄQI GpPRMLUMOÁDNQP#ÃEÁ]ÄQT¨ÁDÏ>Ð|M TVU ?AFRFR[l694r=5>5&Y:DCE5hklYZlC]y5h^9ZFR69Cj¡=:<?A5C]FR\`5u[<ZA5>g;fX5{?gfX:<5hZOCjgRm ZA5h6÷ZACE= 69\R5>`=^9ZA5>5>r=¤5u6n6|?A8#:]FRCE[]=OZAgg6|C]?\ \fX`p^|ZAgR5h5h=>5h5q}ºZA69:]5>CEÞw=>ZAyg6|CEFZ\R5>^9;8R5>6|k>==O5 kh?AgRFr=OCj=O5$?69[<_¤_8gRCl69=@mX8 ? y k>k>[]^|C]8Rg=O=O6|55hZz?A[]F` 5>?A_1F56|[]8g[<?A5hg;ZAZq_7[]5h=@R?s8RfX6n?Ag695h[<ZO8m¤=>}z?A[4FR5¤Cj:<ZA55>f~CzgZA6n[XZA5¤[E?s?A8FR[~5¤k>5[<8^|C]=@\?OZA5>gR^95lkh ? ¢®xs£Ly;FRr569?A=OF5>_CE8X?A¾6|kh=¢J6¨[E} 5<`s}Ådre¡6n?A6|FR=w[]g5h?R:]8RCE5lZA&6|C]C]\=^|5h`V=Q[<£L^9} [lr=>}4-5gR=O5\5>^9[lr ¤C]8 z?AÕ [75>8[]?A5 D} Ì fXÅdgR5heZA69f~5>=g5hCEZO8m t¢Vr{6nCE?AZAFR5z[]gCE?d=O=O`gRZA_75>5 5l:]CE?AZA[.6|C]\\5d^|5h69=Q8 £ ZA5>5Lk>g;8RZA5h=O=s69:DCz5>^n_mtC]?AYFRYR5.698R=O5hBd_`ZAC][<8X_ ?A69k>=z[]`=O?AgR[ \ fXgR}5hZA;695>698=dk>r56nr?AF5`p8ZA5>5>5l5 :]?ACE[qZA6|CE5h\RR^95>8R=>5 y °5hY[]ZH?AF$5LRZACE=@_7?YR?OZQ^95HCl:D?A5hFRZA5t=AC]^¹[EZQ[]`5h?AZ&F5w6|8?OZAr5>5<F} 69kLF:]CEZA6|C]\^95>=HCEYRY5lCjZH698?AFR5 6² À ° J ɺÁS'¥ µ À a 2£q BBB ¥ ` [ Ê,).0/ 1 :ÀzYÇ ° ;,h. (À ?¥ © _ºÈS¥ BBB ¥ ` [GX% ¥ © ^9695h8? YRg?¤¢ X£CE\?QC&5.C{?OZA5>fX5<gR}u5hZO°Rm []Z¤5lC]kQF#w_C]8RC]tYYR^95h698R?wB × ßi ¢V×d\£5 rC]8 5 =O;FR5hC]^985.?A5LFR5.8R5{=O5hCE?q8[]`[]g\?A6|Y8Rg?q698R`VB][]=ZA5h[]=@` ? ¢V69×w8X?A£L[$y69×·8o?A?FRrsCE[?q=@5h?A~5>?AYR5>=>8i7 ZA=@y?¤C]r85 8fXg5h~5h?dZA695>?A=FR5.8R5>k>=@[<?A85>q=@?OrZAgR6nkh?AFR?A6969[<8 8¡z[]£L` }°R[]¢VZ×d?A£F`p5ZA[<?A[<_ÉY_7?AF[<5.=@?\fX6|8RgR5LZO698RmXyEB]?A=7F¢¨5sC][<8Rg;t?AYR?AFg;5? `p[]ZAÚ 5>=@[]?8Rr=O6|69^ 5LZ\C5fXC¤gR?O5hZAZO5>m 5]} ¢ D£r6n?AF kh^CEgR=O5 C]8 khÌ ^CEgRL=OÏh5 TVU¤Ñ]yTVU~C{W?O69ZA=5>5.C{×_CE!YRYR¢ 698B o`ZA[<_ J£LyC];8R¢ ¾£ i »?A[ ¢¢ AA£L£L}y 5L5>;?AB<5h5u8`ZA69[<8_ B y=O?AgR[ kQF-Ý?A698FCj?+¢r6n?AF>¢ ^|»C]\£O5>£ ^ ;y?AF5u>¢ O=O£d5lfXC]gR85>t8k>`V5u[EZ.[]5l` CEkLF ^|CECE8\u5>^969=8R[]k>^98&g=O?A6|FR:<5d5.YR[]CE` ?AF&¢ R`ZA£O[<£_ =OY5>¢^9 =£C ?A[ rs[]ZQ¢ t£6986|8 ;d} ¢JÌ5h;Rk>;^9gR6n?A=O6|69[]:D85zCE[E^|n` mXy?A¢ F 5£ kh£ [<8;69=&6n?AC#6|[]8Rk>=[]8[<;8-69?AR69[]Cj8?QC&[E:<` CE^9gR5>y=?ACjFRZA5>5 8 =ACE?A69=@¢5>¢ }{£O£ xsFCj?¢ z69=>£ y6n` ¢ Ü¢ ¢ £O£ 6n:]` C]^9·g5<69}=&4-C5:]CEZA5>6|8C][]\?A^95z5<yd\XmCE8 ¢ ¢ ¢ A££O£ ?AFR5z=O¢5hz?£ [E` ·®6n\R` 698;6|698=$B<Co=`pRZACE[]?Q_ C CZAE5h=&^CjC?A?A[69[<ZA5>8L^|CE}·CE^?A69C][<?^98B]r5>r\69^|ZQ6nz?AC F=O[][]YCj_7?O5h?OZQ5hZACE?A6|69?A\_769[<g5>8?A=5>== \k>C]5¡8Hg;\=O¢ 5h¾5z`VgCE£LYR^yY?A?A^|[o[-695l :~r69} 5hFr 69kLF?AF5HgR¢ =OgRC]O£^ \~695H8R¼k>?A[]5z[E?A?Q?A57C]FR^9?An5mF:]Cj[ECE?.ZQZA=O6|C]695h8\ZAk>^95>5>5 = \X69m=.;C-¢C]¾8#£s[]5>Y;ZQCE;?AZAF5h5qZA¨5lRC]ZA^9=O=@[{?l?OyZA[]5>^|ZQ5<5L;y`p?O5h?A¨ZAF?A5l[]5¨yRZA8R69?AB<[~FRFX69?=5h=¤69?O8RZQ698Cl:DgR5hkhZA5>kl=A=C]C]8^JC } ^95h;xs69k>F[]5B]ZQ[<C]gY?AFRY69gk?[]`pZQ[];ZA5h5>ZA=@69? 8RB7[]`?AFR5d¢V=O×w5h?A£s=69=[]`kh[<\R8R698=@?O;ZA6|g8khB<?A= 5l&`ZA[<_ ¢ 'AC]£L8} `p[<^9 [lr6|8¢ B$O=O£s5L?C]=[]``V[]8R^9|[~[l;r5>=>=}s698 CEkLF$i 8R[~5 &6|8 ¾k>[<8X?OZA69\Rg;?A5>=s?A[¤?AF5 ?A6n8R` FR[~5z;56|`p=[]6|ZA^|=¤_ùC]\^|C]5h¢ \^|5>5> ^95l ¢ ¢ £O£L£y6n?A` `VFR[E5>Zz8 C]^9 yC]¢8R ~£6|8k>¢ ^9g¢ ;A¢5>£L=}£OCE £^9RC]6n`kQYFCE6n=OZA69g==¤kL[EFC ` :]CEZA6|C]\^|5z698 } 6n69`8Rk>^9gR69=z5>^|=C]\C]^95h¹^|5>8R[~r5h6n=?AF[E` C=OgR\ ¢VfX×wgR£L5Ly~ZO`VmX[]y ZCE¢ ^|£Ly¹?AF5>8 ¢ ¢ A£L} £ `p [<C]^9 kQ[lF&r5>=>}B<e¹5.5L?¢ u;\£5w698^CE\»5>^9k>5l[< 8X?OZA¢69 \Rg;£L}?A5>=?A[ C=O5h?[E`5l;B<5>=698 yC]= 6n8R` [~.;5H6|=¢ ^CE\5>^9¢ 5l; £O£ 69¢ =;£LC$yXkQ?AFRFR695>^|8 ¡`p[E[]`dZ¢5>:D5LZOm ¢ £O£L}.xsFR5 kQFR¢ 69^|;AZA£L5hyX8¡?AF[E5 ` tCEZA5z[EZQ5hZA5>&\Xm7?AFR5z\R698R698RB]= ¢ £L} ZA6n[]` [XZQ;[]?A5h6|=$ZA=5l[]&^|C]`\\X?Am75>FR^95l5u?AF`p5z[];ZA\R¢ 5>D69=@8£L? y;?A6|8FRB<5>8{= ¢V×w`V[E£Zw5>Cj} :<ZA5¡5hZOmkQFR69^|;ZA5h8[]`{¢ ¢ A£¢ ?A£OF£L5 y ?A:~6969[]¹5h8urí =QC]£L\y[]ìpgë5>?=Okh _7ZAô 69[j\:;5lÚ69$5>[]=z\~8R¢Vm7=O?A6|6n?A?AF^95h5>57Z=>yRbd¢JYcHCj6nZAZO5>eÝ?Akh6CE?A;[E^[X£ZAk>=>vdgRyxs_7CEkhv.5h?A8~[]i ?AZA==>yFRC][]8^;{698RYB{[<=O6|=O8;69\R`V[E^nZAm{_ZACE5h ¬ ¬ ¬¬ \X69°8;m69`VB][]4¾gZAZA_5w} Ì Cj´?A^969ZA5>[<5>88Yy;ZAC]?A5h\F=O5>[]5>8Xg6nZ?A?=C]5lCdkhCE?AkLÅd[EFZAe=qCEfXkh¢J?ABEgR[]ZA5hZ[<ZOgmd¢JB]Yk>ZA5l[<[]$^9gR5>gYkh85l?A.698R5LgBZs8?A?A;FR6n?A5h5^|Z5l?A£L?A6n?AyFR^9CE55>^|=CE[EkhCl`?A:<[]_7CEZ6|[j^ rCE:~\R6969?A5>^9F5= ?A?AFFR5CE?=AC]Cs_7?A6n5?A^9?Q5C]klB]CE=s8RC]8=[]?698 CE?AYRFRY55lCj698RZY698g?L?A£LFyX5CECE88R¤=@?ArF5h5ZZA6n`5>:~?AF6|5L5hrZA5=>y~69=69`¹8CE[w8~CEmXkh}?A¼w[]Z[E?A6|8 5 6n?ly[lrs\5h5>kl:DC]5LgZly=O5C{?A?AF6n?A5 ^95[X5h=khC]^YRCEYgR5>=O5qCEZq[]`5>:D?A5>F856nf~`sg?A5hFRZO5Lm{ZA5 ZA5l69fX=zgR8R6nZA[$5>=ZA5hC]:;8t695hCEr·kh?A`p[][]ZlZ } 6ng?l=O}.698RxsB.FR?A69F=z5z69=8R5>C]=@kQ?AFR5l69$5>:DfX5>gR¡5hZO\Xm$muŤk>[]´]^|} 95>kL?A6|8B&?AFR5qZA5>:~695hr=d`V[EZ¤5>C]kQF?A6n?A^95 6° ?§ © Ëv±T²< m² 3Í ¥ Y¸ ¸ ± m°Ï X± $°Ï Í y° ?§ © 6Gx "± xE) E¡Gx¢)E¡ c] !Í @ N8Î I P -Ð Ñ v± Qº N8Î I P <Ð ÎxÎ v± 2] ÎxΠ˦ Ò± y ÊÐ ¥ Ð ¦ 3 ÆÐ ¥ *Ð ¦ "¥Ë] ] · ± ^ Ð ¥ ] ] · Ð ¸ Ð ¥ ] ] · ¸ ¸ :Ó MON I Ï °Y rÍ ÑÓ MON IÏ ° - v± 3² Í Ì]Ê JÍ Ê@ N8Î I P ¬ J Ë 2 v± 2ÔÏm]^°Ï Ó MON I Ï ° ÔÏ 0Ö -À ?¥ © ÖQÐ ?¥ © sÀ s¥ © "Ö Ö yÖ Ö zÐ ?¦ © :² mÇ ?¦ © ?§ © <Ö ² XÓ MvN I Ï ° Õ² N Î I P OÔQÏ 0 ÆÐ a Ó MON I Ï ° 2À a Ë Ð vÀ 0 ?¥ © r'×hØÚÛ Ù N8Î I P OÔ Ï 8Ð a Ó MON I Ï °Y 3Ô Ï À ?¥ © Ð a Ó MON IÏ ° ÖÐ ?¥ © "Ð ?¦ © × Ø~Ü Ù ) "ÐÞÝz¦ © 3Ð a Ó MvN IÏ ° ÖÐ ?¥ © ßXà zá 7 !â ã ÎxÎ @ ä Î M @ M @ DÎ @ I M x D Î å@ 6GCG 2À ä Î M M B I M x D Î B x ' M \ DÎ N ä B lFæC' M '\ @ l 7êRCjë ?Q¡C&:]íRC]òE^9ógRô5>=¤¼CE[]ZA5 ?A5$?A[&?AFR\CE57?.[<6|8gk>Z ^9g;5h5lR-8R6n69?A8-69[<?A8ÝFR57[X[]5>g=.?AY8Rg[]?z? ?OC<ZA5>5<;}&ZA5>°R=O= [EZ¤F[l698;r =@C]?QkLC]?A8gk>C]5<^¹y:<6|CE8¡^9gR 5>=RCE[]_7`?AYR6n^9?A57^95>µX=>y} ÿ&?A5h6n~?z?rs[][<`gZA^|5>¡:~69_5hrC]<=>5.y5L=O?A5>k<8}s=O5.xsF?A[&5hZA5h5q~CE?OZAZQ5zCEkh_?zCE?A8~FRm5 rBDCjC>?Am;69[<=8H?A[d=O69=O8RYkh5>5wkh69?A`FRm5d?AFRvd69=>xsyDvd\=g?rs?A5zF5skh[<698R=O=O=OgR6|;5s5h69Z=6nZO[¤ZA5>8R^95>[]:<?CEZA8X5h?=@?O?AZA[w6|kL[<?g;RZCE698;?QCq:<5>:<=@CE?A^n6n `VgR[<[Eg;5hZ=>Z}Y?Þwm;ZA[~Yg;5>ZgRkQ`pFRk>ZQ695>CE8RkQ_7B¡~6|5h8RrsBqCj[E?QZAZAC¡5h.=O:]gRklC]CE^n?A^98 gR=>}5h\= 569C]8gB<?AF_75$5>8X[]?Ag5l?AYRg;r? 69?ArF 6nC]?A8XFRm.[]g_7?5hCjkLÍ FR5>C]kh8R?A6969=O8R_ B Crs]85#ë[<=Ag;C>îmß?AYRg;?AF?Hë Cjvz? xsë Evó¹GJIQýpKÔjüÖMOû NQPR¢JYMONQòj[]SEñ=OÀ#=O6|\ì¢Vë r^nmßo6n?A=OF»ô Y5>ZAk>5>6|69=OC]:DY^95>65>é>8kL5l?uRC]£t8?A[CE698R8Ô<YRßÕtg;CE?7C8vzºfXgxsÔl5hvÉÖ>ZOm£&Ô 6n~ÕÍ yy ?;69=wm;¢ Yg5>8kQ>FR¢J5h5hÔ]k>kLÕQ6|~R£O69£ C]8R\Bd^9Ø5<`p[]}Zsxs?AFRF5h5ZA>`p5h¢JgRÔl`p[]Ö>^9ZA£L5<}ÝÅdy eu4-rC]5.5&8RCj7rZA5¤69gR^ 8^95lZA=O&5hF=@[j?A?O[rÜZA6|kLk>?A69[]85l8R =O;6|ZA5>5>kL5hB<?AZg6|[]ZA^Cj85>Z=@?OõuvzZA69xs?AkhF?Avd5lCE ?= 5hk>6|RC]\^95zklC]=O5>=>} kQ[<FRg;45>?AkQYR~5g;6|?Y8ZABHvd5>xs=OÅd5hvd8~eo?=>fX}698qgRxs5L?AFRZAFR6|5h5h69ZA==>5y=O5>CjgkhZA8?A569[<?A5L8¤F;ZdZA[<5>:]g;5CEZZA_69[<C]5>g69k>=w876|ZAC]5>5h\R=@k>?O696|ZA^ R6n69?khC]m?A\69ZA[<69^|5>86n=O?=zgm.^9[<?AZA8-=5>=O[]Ådg8¤^9eÝ?A?=>m;y~CEY6988;5h :D698R[]B]^|:~^9m{698RK Bq698RMLkhÄ ZAL5>Ò;C]Ð;=O[]698RgB]?A^9YmgÄA?MLvzÀAGJxsÄQT¨vdNhG=>MOiÑd`pZQC]B]_75>8X?A=s[]`Åde¡CE8698RkhZA5lCE=@ ´<}s8R[<UR8;TpG¨MZA5>^|k>C]g8ZAB<=OgR69:DC]5$B<5hÅd=Q£Le¾yC]¢®8RÅd&egRr8[]FZQ5h;ZA5$5hZA5lYR$CE?A[]F#g?A5hY;gY;?ZA5>vz=O=Oxs69[<vw8R==.5hR8R5 µ~}s8Rk>^|[<C]8;gR¨=OZA5]5>yk>gC]8RZA=O$69:D=@5?QCjÅdZOe.®`ZAr5>56n?AF[<[<g;g?AYR?¹g?QC]?sBvz:]xsCEZAvd6|C]= \^95>=698d?AFR5 ÿ;}s?A8R6|[<[]8;8R¨§;ZAy5>k>CEg8ZA$=O69ZA:D5>5B]gRÅd^|CEeZr[]g69?A?AFYR[<g;g;??{vz?QxsCEB#vd=>:<} CjZA6|C]\R^95>=>y8['¦YZA[jö@5hkh ^?A|xsC]69[<FR88t69B<= gõqFCEB<=O69B<FR5¤FR[lC]^9rß6 8RB<$FX?AF?A?A=7CEFR?CE5z[]8ovzg6|Zxs8X?Avw5h5h=>ZAk>}s5h6|=@Rxs?AC]6|F8\5qB69^|6ng??Om$8ZQC];ZA5>5>5hk>=O®6|gR[E^nÍCE?A=\R\69Cj^ 5h69ZA??5qm$rf~5>ZAg5h5>6n=O8#?AgR5w^n?A?AFR?A=695$B<[EFX`fX?lgR;} 5h5>ZOkLm [<g;Þw?AYRgg;Z?RvzZA=@xs?vdZA5>=>=O} gR^n?k>[]8Rk>5LZA8R=s8[<8¨ZA5>khgZA=O69:D5wÅdeCE87gR8[]ZQ;5hZA5l Òä;MLæ ÄQT®MLä À ÛÄAM¨ÿ;W]}9Ò;´<Ð9}Á]ĹTpPU<MKÒ~GJILG KMONQPRdMONQÀ SE TVÁ]UXUWÑwKÒ~Ä DU Ï>]Ð|ÄOM ÑXMLÄOMO]Ñ ÄEU Ò;]GnUKRΨÒ;ÄAG MONhÒ~ÄQÀQzTpÃ]À M h TVÀdÑXMONhT¨ÑDÁDÏ>Ð|MqTpU{ãæçè ä à ä [?A]FR`5t698R[]Ygæ¹g?Aæ ?AYR=qg;w?A?{FxsvzCEF?¤xs58Rv.5h}5>5lkh-e65h?AC]?[t\-\6|^96n5{?\m¡5-kQFR69C=5hkL=OD8FR5>[<[l-8r¨?AZA8[¡5>kh\X;gmt5hZA?A=O\5>69:D[<kh5¡?.g8CuÅde'69:~86|B$[]fX^|gRCE?A?A5hFR69ZO57[<mX8y=O69Ôé>[]5Õ` C;gZAYR5hYB<[]gR=O^|Cj5¤Z&× 698RYg?7vdh¢JxsÔ Õv.£wyC]C]8R8 Ôj¢V×wÖ&£ CE8'gRÔ 8Ö []}ZQ;45h5.ZA5l=OoF[l[<r'g?AY?AFgCE??wvz?AFRxs5hv¤ZA5 } 5h¢Vrz;69}=@Zl?A} =?l} × OÔ<Õ OÔlÖl>£L¢JÔ<yÕQC]£8r 69?AF$¢V× CEl?s£ _7[<=@?s5LhY¢JÔj[]Öl8R£L5>}ß8X?A46|C]^95unmk>_[]8RC]=@8X?Om.ZAgR8RkL[~?{× 5h= `pYZACj[]?A_ F ×ÉÕ CE=$`V[].^9|`p[lZAr[]_«=>}?AF~6|5q8ZAk>[X5 [E?z¢V[]×w` £.;:~¢V×d69[<£^|CE?A?A[{5h=&CÔ 8Ö [~y?A5 F5hZA75ur5h;6n?A69Fu=@?A?Q=&C]BC ?AÚ FR^955lCEZA¾^nmXy=Og`V[EkLZAF-_.?AgFRkl^CCECE?8?A\&FR5 5.=OYr=O5>5lZAkhfX6n69?OgRR?A5>5>5l88o¡k>5\XC]=mtªÔjÖ][E} `kLxsFF~6|^rgR~=>FRZAy 5>5h8ZA5[]=A5l` CECE?AkL69=@F R5>:~= 69[<^|69Cj=q?A5>[];=`} ?A698 FR5s`py[]ZA_ ¬Õ .C]8$¬ 5lC]kQF rF5hZA69=w5sCE?AFR8H5 698X?A5>CjB<ZA5h5Z\69[<=@?Ag6988R;kh?5l$=@m;\X_.m\?A[]FR^|5= _=ACECE?A69;=@69R_.5>=g_ªCE?69^98X5l?ACE5>=@B<?5L[<Z8R[X5 khk>gZOy;ZA=A698RC>m B7698 ¬Õ }~698Rk>5 º¬ =ACE?A}69=@e¹5L5>? = ;Õ y6n? \ 5dC]kQCqF =O8RgR[~\;=O55lfX[<gR8.5>8?AFk>55Y[E`CE?AF ?AFÕ Cj?=ACE?A69=@`RZA5>[<= _'ZA[X[]??A[ Õ yDC]8R C]_7[]8RB } ?Ae¹FR5L5? ~¾Õ k>[<8=O 69=@y;?CE[]ZA`¹69=O?A5>FR=5`ZA=O[<5h_ª?[]=O`¹[]8R_7[~5;5>\=s698[E`¹69×8Bq698[E`?ACzFR5=Og69_\R=OC]5hB<?5h[]=s` []`?A;FR¢ 5><=O£L5 } )á 587 ç ç 4 ° ° MvNQP # zè há 7 ¯° MvNQP 3. DECIDABILITY RESULTS %x j F C) E¡GC¢E¡ F éyê Ä*¨!« î"ë 8ë )ì { -o hn-oQn { í &ì % z% ?wËj% % z% znmoQn 8g&ï :° aTMONP 8ð aMONQP ¹° N a mpq B'BB N ª ° b° 8ð Ëañ · OM NP ° *° m\ :òó ®ôò ó d d ñ ?÷ ÷ ø B'BB ø ú{ù ù 8ü ûa S  { ] [ 6² ö Æ\ X BBB C` +Ó Ý ·] N Mû õö:² ö $xû 8ð Æ\ N ª N ª ;ô*òó Þ² ö ò ó <\ d 2ôò ó d - ¶÷ ÷ ø B BB ø ú ù ù $ B'BB x` d d ÷ B BB y² ö t ]¯ tý ø ø tú ù BBB N ª N ª Q ° WHERE CLAUSE CONSTRUCT CLAUSE Q1’s WHERE CLAUSE Q1’s CONSTRUCT CLAUSE Allen’s-movies Allen’s-reviews(X2) movie movie title(X2) Y1 title X1 review X2 title review(X2,Y2) Y2 director actor(X2,X4) X2 Q1(X2) X3 = W.Allen actor X4 X5(X2,X4,X5) * ýû òjë ë ¾ñ ñï ìVpë;ü ë~ò \¼69[]8?A5q698?AB<F=>CEyD? [EZ[<8.=O[]_75sÖ ¢YCj?AF¤`ZAÔl[<Ö _¾?AFR£.5¢¨ZAÓ [X[]?[]`×#?A[d=OgÔjkLÖF.C8y¹[~?AF5<5 } `V5h[E;ZAY_a[<85l5>C]8XkQ?AF#6|C];^e6|8 `pa[]ZA_.C]8g{^|C&r698-FR69vdkLF$¼wkl°C]y8$rZAFR5>=O69kLgRF-^n?kl69C]8&8¡`V[E\ZA57_.gR[]^|CE8R=5 ?A69FR8¡CE??A69CE_7ZA55 8~[E`g_.8R[~\;5h5>Zw=s[]`p`ZA[]8_ª[~ZA5>[X=z[]?698?A[¤5lC]5lkQC]F-kQF$\6|88R[~695d8RB$698&69= C¤\R698R69y8RC]Bq869u=\?AFR[<5.gR8R8;g5l_.\\X5hm Z kQCEFR?5>_7kQ[<=@`p?[]Z [E`¹C]5L8#Y5h[];8RY5>[<8X8?A5>6|8XC]^?A6|=OC]69^é>5<8~}g;_.[z\695h8 Z?A[EF`5s8rs[~[]ZA5>=@?=>yklCEC]8#=O5]yX5h;rsY5[<F8Cl5>:D8X5s?A6?ACE[ ^ ?OCEZA85h£$5.]}?ArFR4-FRCE[]?5z=Ok>5 r[]ZA8~6|^95>?Q=@CE?Og69ZA8R=O695=kh?AC]?A69[<F^98¡5z8`V?A[~[<[&^9 5>[l=r5>Y;696988R?AF¡B&7[]g}\RY¼w=O5h?A[]ZA[ ?A:]5dCE?A?A69FR[]69CE8¹=? }C$;e¹¢V=O×5hg?\£s×?OZA=@5>?A5 69\^ 5q[Ek>`C][]8X×8m y 8~gR_¤\5hZ[]`69=Vö@g8Rkh?A=>} ?Q\CE698698R=s698?AB<FR=5CE8RZA[~5;=@5 ?A69^ RYC]ZA5h8R=O{5>8X6n?A?=698.kQFR× 69^|¨;}ZAxs5>8 F~gR=>Õ y]?AFR5=O5lyfX=OgR6985hk>8R5zk>5C]^9 8R[]` 5h5lkQFR5l69^n ÞwgZ=O5>kh[<8;5>k>6|RCE\R69^ 69?mwZA5>=Og^n?lyjk>[]ZOZA5>=OY[]8;6|8B?A[z¢®µ]£CE\[j:D5<y ~¤ZA5>698.=[E5>`f~gRC]^96n69?8 mXy~;?A¢V×FR5h£8 =ACj?A=A6|CE=@R?A695>=@= 5>= Õ yR=O6|8k>5z5>:D}5L°RZOm$g;ZO\?A69FR85hZA_7698B [EZA[]5<`yE6n` `Vg;ZO?AFR5hZZA5>=@?OZA69kh?A=?AFR5Åde7fXgR5hZA695>=\Rg;?¹5L;?A5h8= ?AFR5[]g?AYg?vzxsvd=>} hÒRä;MLæ ÄLT®MLä À Ûÿ;TVGp} P µ~E} Ò;¹GzPG®MÁ>WGJILÃEKÁ]MOÄQNQT¨PRÁDMOÏ>NQÐ|SEMLTVÀUXWTVUKÄ GpDPRÏ>M Ð|M ]ÄU ]UßΨÄAN>MONhÐ9Á]Ò~Ò~ÄQÀ>ÀQMTpÃ]M 69[E8.` × d;6969=8 CE^9=O¢V[×w£Cw=A\RCE69?A869;=@698R5hBd= [E` w69}8¤×?`VyD[]C]^9|8[lr?A=FR?A5sF=OCj5>? f~¤g5>=A8RCEkh?A695=@[]5h`= kQFR69^|;C]ZA85>8 =O[ e;5h¢V?× × £:~\69[<5^|CCj?A_75>=698Ô 6|Ö _} CE^?OZA5>5rFR[]=O5ZA5>=@?OZA69kh?A69[]8{?A[q5hY?AF gY?A[ ÄAÁDM¨Ï>W]Ð|Ò;MzÐ9Á]TVU{Ä$ãTVU<æ Kç@è Ò~Gä à dÀ äqÁ]UÑ-ÀAG®Á]ÄLÎ QÄAMAM EÒ;GnKRÒ;G zÀ TVÀ$ÑXMONhT¨Ñ<Î {=ACj69?A=69=@C{5>=O= g\Ô]Õ>?OZA}¡5>5.;69[]8R`kh5 ××y {?AF=ACjCj?z?A6|k>=@[]R8~5>?Q=¤CE69?A8RF=5C]Y^9ZA[<8RY[~5L;ZO?5>m{=z69ö@8 gR=@7?.y¹C]5h=O8khuZA69\?AF5lCj? y æ¹æ wxsF5 YZA[X[E`s69=z\XmuZA5lgkh?A69[<8t?A[$?AF5.klCE=O5 rFR5>8t?AFR5 ;698-¢V× × £s:~69=z6|[]`V^|[]CEgR?A8R5>=Ô C]Ö =z} `VÌ []8H^9|[lgrYR=>Y}H5hZ°R[]\Zq[]gR5l8CEkL$F¡[<8R8&[~?AF5 5z8;g698-_.\× 5h]Zsy[]k>`[<88R=O[~6;;5h5>Z= [<ÿ;g;}9´]?A}sYRg;xs?¤F5zvdDxs5hv1m[<69=q\=OgR5h8ZA:][]CEZQ?A695L[<ZA8H5l69=y?A`p[]FRZq5wr`p[<FR^9 69[lkLrF6|8rB5$i k>C]8#gR=O5{xsF5>[]ZA5>_ ?ArFF5t5hZA=O5 5lfXgR5>8k>75ty[]´`q6n?A=$kQFR69^|¡;ZAy¹5>8CE8r ZA6n?O{?A5>k>8ß[]8XCE?Q= C]698R=zÕ E8Õ [$Ö 8[~5>=z698 7Õ y ¢ >£769` z69=C=@?QCEZO¨`pZA5>5ZA5>B<g^|CEZ5h;YZA5h=O=O6|[]8&CE8 Õ CEZA5 69y=@?AgR69=O8R69kh8?B7=@6|m;8X_¤?A5>\B][<5h^9ZA==698rFR[<yE=O?A5FR5h=O698qé>5?AF¢J5h698uZA5gR5h8R;CE69=@ZO?Am=ZAC]5>8 YZA5h=O5>=O8X5h?Q8~CE?A?A5h69[<8R8k>5£ 6969´ =d8\?A[]FgR5t8RC]g;5l?AH[<_\X»m CE?A´<[]Ô }o8ÝÕ ~`p¢J69[]_78RZ{k>[]5?AZAFR5× 5&Y{ZAZA695>5>= khB]6|gR_7=O^|5hCE69^98mtZ$6|_^|\XC]m$CE8^JB<?AygFR?ACE5FRB<58~5¡gR=O_.69é>5>5&\=OkL5L[EZAZ`w6|\[E5l`698RCE=@kLB-?QF Cj?A?AF5>5= 6| =Õ ^96|85lCEZd6|X8 y=OgRCEkQF&8u?AFk>Cj[<? _7Yg?QCE\R^956|8ä à ä{`pZA[]_ CE8 CEå^9|[l[Xrk>5lk>g;Z{=O5l6|8fXgR׫5h8RCEk>?{5>=7[E5h`dY?AkQFFR69^|Cj;?ZA5>_78Ý[<[]=@?` n69y8Ý?AFRÔ 5HÕ £L}8~gR;_¤698R\k>5h5&Z 8R[E`[~8R5h[~=7;6|5>8 = [E°`¤698R× C]^9nmXCEy ?H[<\R=O5>5LY;ZA?A:DF5zgR?AFYCE??A[ YCj?AFR=6|=$[]`\× [<g8rFR5>[<=O5¤\~m»8R[~Æ9;¢ 5>=wCjZA5.´jCj£?zÔ<;Õ 5>ÈY?AF } xsFR5$YZA[X[E`d[]`.¢ >£¤69=7\X¬Õ moCt=@?O¬ ZQC]69B<FX?O`V¢[EZOr£ CjZQ¬Õ 698gkh¬ ?A69[<8[<8o?AFR5 ^|¢JCj[EZA?AB<FR5h5hZ¤ZOr?AF69=OC]5&8 r5$khk>[<[<gR8X^|?Q#C]69YR8g8_7[HYoYCj[l?ArFR=z8#r× 6n?AF-?AF~ZAg5>Y=.5lk>Cj[]?A8~5l-?OZQC]^|C]\69kh5h?A^|69=q8RBt698 6n?A= r=@?O6nZA?AgRFRkL[]?Agg?zZA5&?QC][EB&` :<~Cj}ZA6¼wCE\R[l^9r5>=k>69[]8¡8R?A=OF6|5 5LZC¡8[<8¨ZA5>khgkh^ZACE=OgR69:D=O5&5<yÅdC]eº8R-fXC$gR5L=@ZO?Qm CjZO _7\[]69gR88R6|_5lCEH^96 ?\XmRmH£L}?AFxs5qF~gR_=>Cjy;?A6|F_¤5 gR8~_gR_¤8~gR\_¤5hZz\[]5h`sZ8R[]`[~8R5h[~=¤;5>Cj=z?¤CE?d5>Y;?A5>F Y;?AF 69= `pZA5h5q[]g?AYg?vzxsv'ÔlÖE};gYRY[<=O5dZA=@??AFCj? ¢ ]£{?QC]C]^9B<==O69\R^96 8RB<=z698u?AFR5 Hk>^|C]g=O5 []` 7FCl:D5$Ñ]TVÀAGJTVUNhG ?A¢@69´ _75>= Ô ÕÔ Õ £}`V[]xsZF?A69FR=5wm;=O6|5h6|éh^;5q=[ECz`×?A[]?Q} C]^\[]gR8R[E`sÆ9¢ o´j£ Ô Õ È :<xs5hFZA5z6n`p5>m&^|8RCEkhr?O5<?AF5hy~Z5hrs?Akl5zFRCE5L=O8&Z.69_7\¢@´l5wYR£^n?Am×5>=@B<?Ag5>=A5>$CE=O?A=69698&=@C¤R5h5>× ;=wwYÔ [][EÕ 8R`y5>5hC]8X;8R?AY6|C][<^ 8¢®µ<?A5>£698X_7?A65<¢VCE×}^¹=O£8R69é>:~55>69[<5>CE^|8CEy;7?A5>^95h?A=?FRÔ 5>Ö 8 } :]¢VrsCEZA5u6|C]5h\^|^|695h_7=>69yX8C]Cj^9~?A5H=O5l?AfXFRgR695h= 8RZAk>5>5>=@=?O[]ZA69`kh=O?A6969\[<^|8698\Bw5h8R^|[l[~r;5>£L=}»698¤;69C]88Rk>=@5 r-5hZA=FR?AC][ =78Cj[-ZA5s?QC][]B ` \698u5× ?AF.5CE=O86|éh 5¡[E`y?ArFRF56|69kQ8RFtYg69=d?l}5h;xsYF[<5>88H5>8X¢@´j?A6£CEkl^CE698 8 \¡5iö@[<gR8=@5?w69kL8 F?A5>6|kQ_7&5`V[E^96Zz8R5>5>CE:XZ ?AFR?5m;`pY[]5>ZAkL_ F5>kQ¬Õ;=r6n?A¬ F.`VZA[E5hZ=OY695>=@kh?A?698R?AkL[d? ÔjÖs6nÍ$6n?}?m;°YZA[]5>_kQFR5h¢ hkL£ ~=6n?r`p[<6n?A^9F.[lrZA5>==OY?AF5>CEkL?? ZA5L[]5hZOgm$B<?AgRY8^|gCj[~?dZ?O55hZA;?A5>YF5]ZA}CE5>?=OÌ 6n=O?A=w69=[<?A8=OFR5l}5LfXZAg°R5 5>[]CE8RZ¤ZAk>5 ?A55>CE=@[]?A?z`698RkQ_7FRB[]69^|=@¢®;?µ<ZA£L5hy×8$rs_5{'CjR?AYkLZA[<F=@?7=O5>=O=69k>\[]?A^|FR8R575w=@?O\=OZA69Yg85>khk>?.696n8?AB<F5l=>5 y ?A`VÔj[][dÖE^9}|Ô [lÖ rxs`VF[]`pZ5{ZA[]CE_8 5>k>gRxs6|8FR[]C]5>ZQ\R[E69ZA^5L5>6nZA?_5lm¤ÿ~C]vz8}|´]xs#}vxsãRæFRÔ ç5wÖ èk>`Vä C][]kh_7?à YR?AgFR?QCECE?ä¡\RÔ ^9gÖ5sYR696|8 Y=5h5Lä ZqY\à [][<8Rg5>88X¡äd?A6|`p?AC]ZAF^ [<5>_6988 ?AF69=d?QC]D5>=?A6|_75¤CE?_7[]=@?z5h;Y[<85>8X?A6|C]^698 }.¼5h~?lyrs5.?OZQCE8R=@ Ôj69=.Öz[]69=8R^n8m[]?w^96 8RC5lY;CjZ7ZA[<69\8^|5h?A_1FR5=O69=O869é>k>5{5z?A[]FR`5Ô Ö=O69é>C]5¤8-[E`?A?AFFR55=O696|8~éh?A5&5hB<[]5h`ZA=?AFgR5{=O5lkhH[<gR698u8X?AÔ5hÖZ rxsZA6nFR?O?A575>8&698R5l6|8&fXgRgRC]8^96nCj?ZOm mX} Ô Ö ¹C]=O=OgR_75h=?AF5 698X?A5>B<5hZA=698Ô Ö CjZA5 5h[Xk>k>C]g;_7ZOYZA69^98R5¡B769=&698$[]?A8RF^n5qm5he;Y`p[][]ZA8R_¤5>8XgR?A^|6|C]C]=^z69698&8 Ô Ö } y Ô<Õ ydC]8?AF5¡698X?A5>B<5LZA= X5 þ & mÝ ÓJÝÝ °hÝ {Ý °)ÝÅÝ GÝ~Ý 6Ý N ª ° ü¶û X N ª m° m° 8ð ° ËÝ Ý 8ð $ ° éyê Ä*¨ñ« +² ö 8ð N :Ö { Ö BB B 2Ö ¬Ó ÞÖ û Öû KÝ °hÝ {Ý ÓJÝ ð ð ð %# î"ë 8g&ï *) Q -o )% 6n-oQn { í &ì ò {Ý Ó3Ý 8ð $° # ð Ý 2 ü Ý !% ?wËj% z% mCE E¡GC¢)¡ 6nmoQn { m BBB ` prq í &ì B'BB ª ] q vò +3 Ý~Ý 6Ý ®° ° ° ) BBB ª *) Æ da h í zì '# N >Ý Ë° -CE E¡GC¢)¡ -Ý 8ðÝ & ½ BBB ª B CE E¡GC¢)¡ $# ? *) Ý °)Ý Ý °hÝ Ø ' Ø! j ,+J Ø 'Ø Ý EÝ % Þ ð Ø Ø 6Ý Ý . Ø. Ø "^Ý Ý 8ë )ì - BB'B {)ª N !Ý °)Ý Ý °hÝ 8ð X° y X d d * u ÷ ø B'BB ø úu ù d X û t 8ð 5 (# ¬Ó M ¹ä d a Ó ä Ó BBB ` J 8ð ð 8ð ° &° d " û t ¯8 X TÝ °hÝ Ó 5 cÝ °hÝ N ÊÝ GÝÝ 6Ý 9Ý °hÝ Ý °)Ý N ª Ëÿ 4 Ý °hÝ mÝ EÝ y° í zì ) C Õ ~f~gRgY5hZOYm [<=O5H\X\~8m'mß[jrÑEZA5>TV?AÀAYFRGJ^|TVCEC]U?k>Nh69G8R¡BE:;Õ 696|[]8^Cj?A?AFR5>~5=tyw¢ C]]8R£L}4-rs55&gRßk>=O[]5¡8Rk>^|=@C]?A?OFgZAgR5u=O5ÝkL`V?{[<CE^9`^9ZAq[l[<r?Q_ CE698RB<B = :]CEZA6|CE8~?[E`¢ >£Li ¢ >£^9e¹5h5L? ? \5q?AF5¤Fy [<_7[<_7Æn´ Q[EÓXZAYRȨyFr6|=OF_15hZA_5w?AC]FY5 YR698RB CEZA5z?A;[ 69=@?A6|@8}zkh?l®`yRC]7869 = =O=OC75>5>8X8X=@?Q?A?QCE5>CEZO8?A¨69k>`p[]ZA5 85h5¤£qy69ZA=¤5>gRB]=O^|gR696988^|CE5lB{CEZw69Z78X5h;?A6985>YB]ZAt5h5>ZA=O=CE=O698r[<8uF[<k>?A=O[]F5q_75>8H=OYR69é>g?A5FR?QCE5h¢J\RZA6|5q8u^955hg;6988o69Cj=@?AZOä =dm$CEàZA8 5>Y;ZA5hä `pZA[]_ ;y Õ yRC]8R Õ yR=OgkLF{?AFCj? ¬Õ ¬ ¢ ¢ £ ¬Õ ¬ £ =O?69m;8RYBu5>kQ¢ >FR£5>kQ6n?w~=.69=rk>6n^9?A5lFCEZZA?A5>F=OYCE?5>kL.?{??Am[Y5hC]kL8F5>gkL8R~[E=sZQr5h6n?AZAFH5lZA5>vz=OYxs5>v kL?wÔj?AÖ&[7k>Ô []Ö _ 6nÍ Yè gä ?QCEà \R^95o6|ä8¾gä YRYà 5hZ\[]ägR8R`p{ZA[<`V_ []^9|[lÔjr¾ÖE} C]=xsC]FR\5[j:D5<5>} kh6C]\6|^96n?m¾C]8R¾ãæ ç []fXggÞw?A69ZAYg;5hg=Z ?zC]?Avz8FR6nxsZQC]vwR;=>y69?A5>CE69kh[]^96|8[lC]C]r^\696|8RZA^95>6nBH?=@m#?O`pZAgR69ZA^9kh5h?A=O69ZAgR[<5>^n8#B<?7g[]ZA^|8#5>CE_7ZÅdvz[je:Dxs5>=7fXvdgR=>CE5h}¤^9ZA69w5>ZA=>5h[l}7=@r?OZA5>8X6|:DkL?A5h?AgRZl6|[]6ny¹?A8R6n69?d:D=5>ZA[<^n5hmX8 y ?AfXFg695h=¤ZOmX^96 }_746n?A5d=q`p?A[]FZA5{_Y;CEZA^|69[Eé>ö5d5>kh?A?AF69[<69=8CE=¤=r`V[<F^96|kQ[lF#r=>kl}CE8#\5{Y5LZO`V[]ZA_75>-\Xm¡?AF5 ¤ä ¹pè PRM phæÒèMLÄQIÿ~} ÿ;} TVÀY;MLZAG [Eöº5>khÏL?AM#69[<8 Á `ZA5>5 hTpÒRG MLP ÄLIÄOMLÀ®Á]KUMONhÑ-GÔªG Á]ÔHU»T ÝTpU<TVKG¹Ò~TVÀG QHM Ä h¿¨Ò~TVTVUÃEN>Á<.Ð Ð|ÒMLÏhÑ]UIwTVG U~ÄOMW K] U#Ð9ÁDTVNhÁ<GJTVÀhÐpUXMhW Ð ETV¹U< KRTVU7Ò;MAGJÁ<MOÀÁDNQPNQÀLP¤Á]U GJU TVlÀ MLÑXLÀAMIEGTVMOUXÑ ¢W7hÔ£ÒRMLTpÄQU G I &Gp¢ PRÏhDMI £ hÒR¢@MLÃEÄQÁ]I Ä>¢ DºÏhG®£ ÁETVU <MO£ Ñ 69[E8` B<=8X}7?A[]gR`RÞw6nC]?A\;69^9:DX:~5>?A69^nFR[<mXg5y]=O:]?A^nFCEmXZA69y=6|C]?A_7F\5h^|5l5hZACE=578R8RCj=[EZA?A?57F69Cj8_?C]`p8X[]`VZsmug8R5h=@:Dkhm;?A5h8X69ZO[<?Qm¤C]8Rkh8RC]?A^9[~69nmqk 5 =Og5>7Y¢ 5hk>8£L69y<5>z8X?A[<FR?8z5k>?A\R[<FR8R698[]~=O6n5 ?A4-69[]5z8R=w69^|9[]g8 =@?O7ZQCECE?A5d8&?AFRÔH69=5h\X8Rm$=OgC]ZA8H6985hB ?ACEF_7CEYR? ^9 5<} 69=YZA[jö@5>kh?A69[]8¨`pZA5>5rz} Zl} ?l}Ô¹} xsCE_7F¹5YRí ^9fX5<gRy5h?AZOìpFRëmd56| 88Rô [~?A;FR5 5Ú =A[]GJTVC]8RG¨_7Ð|=OM]6|5¿ 5h5hZqlÂwC]?A_7FR6|=w5tYRC ^9Nh5Tp:~U 696|=sM[]7U^|CE]?AÁ G~69[<Y;vd8tZAxs[E=Oöv695>8Rkhk>?A6|5]869[<yR8; `V[E®`ZdZAC]5>[]_75z8RY5¢V`^9[E5B<Z69µ~:D5h}5>~ÿ;8 } ?AY6n^|?AC]^9k>5<69y;8R?AB$FR5hGJZATVG¨5Ð|M]_¿ C>mlÂ\\X5wmH=O5>GJTV:DG¨5LÐ|M]ZQC]¿ ^¹<C]khÂ?Ar[EZ69^ kLF?AF;6|^ g~=ZA5>m;8$695>\^|$[]gRC¤8R6nÍ ?A[ 5hZAH5>8XÊ?}[]¸g5h?O YxsgF?L5{£L}f~gÞw5h8$ZOm¡?AFRk>5[<^9[]5>?AkhF?A5h=qZw?AFRFRC]58RC]kLy?Akh[][<ZA8R=.=O696|8-;5h4»Zw?A} FÌ 5¤^9|fX5h8#g5h_7ZOm [E :~695>698t=>y°?A6|[]B]B<g5hZA?A5.F5hµ~Z } rY;ZA6n[~?AF.g?Ak>F5>5=?A`p6n[]?AZ^955l[]CE`kLF?AF=O5gR_7kQFq[jC]:~kh695<?A[E} ZÌ C]R^9~[]6n?A?A69F[<5h8RZC]?A^9n6nmX?A^9y]5>?A=F¢J5s8R8R[E5h?=@\X?Amd5l.4¾fXgR} Ì 5LZO^|9m 5>8£ r=O698Fk>5h57ZA5d5>?A:DFR5h5ZOmÝCEkhÁD?ANh[]G ZEÄdCEkh8R?A[~=>;}57xsFFR69CE=w=fXC&g5hgRZO8m6fX69=g5$Y;ZAGJ[ETVG¨öÐ|5>Mdkh?AY69Cj[<ZA8;5>¨8X`pZA?l5>y5<g}=O698R8RB#5>5>ÁDN>Îy rG E;FÄ]5l5>¿ 8-}d?AxsF5 FRl5hÂ8RZA5>5qZQ=@Cj69?A?A=d5>FR[<5h8ZfX^9?AgRmHFR5hC][<ZO8$m8R5.ÁD69=NhC]G 85>]:<k>ÄE5>CE¿ =@^9g?A[]>CEZ.Â?A5>m;GJTV69G¨5>yÐ|^|M?AF=CE5788R[\R6986n;Í ]695hÃl8RZAT¨B$5hM8R`p8Rk>[][~5<Z ;} u5>Ì =wÿ&^9`p=O[][69Z= y 6ZA9CE=5h8XYRmC^|C]gRB<k>6985>:D6&5hfX8 g\X5&m.Ñ]GJÿ~TpTpG¨yÄAÐ|MOM]CENh¿8G ]Äd=OkQ69FR_769^|69^|CEZAq^nmXÊ;y}.`V[E<;Z Âl[t} 5lGJCETVG¨kLÐ|FoM]¿ \R698R698RBu[E>` Â7k>[]´gR?A^|tFR5L\ZA55 kQF4-CE^9|5H5h8RklB<CE6988B7=OFR[]`[lr1?AFR69?A=FR=O5&5>kL`p?A[<6|^9[][j8¹r} 698BZA5>=Og^n?ly?AFR5H_7[]=@?7?A5>kLF8R69klCE^|nm QTpÄAU<MAKMqÒ~ UG äEæUΨÄAzä MONhÀ Ò~ÄLÁ]ÿ~ÀAUTV} õXÃ]Ñ7}M ÄA¹M¨W]PRÒ;M Ð9Á]hGJÒRÄILKML]ÄLMOÒ~T®NQMLGnPRKÀ MOÒ~NQGSETVTVGpUXP W$]Ò~zKGÄ À DG®ÁlÏ>TVW{Ð|ÀM ÃEÑXÁ]MOÄQNhT¨]T¨ÁDÑDÄdÏ>Á<Ð|KÏ>MLÐ|ÄÀ M jÄOMOM¨NhW]GJTÒ]Ð9URÁEÄÎ Y;ZA[E®?dö5>ZAkh5>?A_69[<CE8;6|¨8`pZA=w5>[]5YZA5>5>8=@?OZAr69khF?A5h69?A[<FR85L} ZxsFR5>[EZA5>_aÿ~} õFR[]^;=wr6n?AFR[]g?d?AF5 Ê° © ' B BB hª *- -° < B'BB 'ª *) + d d*a C Ma /. 6 d ;ò ©° 3d © í &ì g 0~& nmoQn o X« « y% j %xw^° ° X° X° X¨ ;° ÅĨի v% 2 j 8 v% « % © ²3 © K ;« ©° ?§ © *];U ±Ì %Yj &% À ?¥ © ² © 2À ± © Cº§ © x j ' yÀ ?¥ © ¥ © ° R y° ßXà zá 7 !ã 4 ?w 6587 6587 !pq B'BB ª B y° í &ì ;¥ © md í &ì ]0. Oq vò 1+J B'BB ª *- Á° Ë 3 BBB ª BBB ª ,+J ü sxE) E¡Gx¢)E¡ &% :9 65,; J° <°x v% 658<C=5>7 @? v% v% 65/< ¬wm% v% %? j F58<CGBIHE BBB GB; é2ê 8ë ì &% *nmoQn { -o Ä*¨^« ;% < 65/<CCBD7GCBE< % % ®nmoQn { ?wj% :9 A? %KJ { O% ]µ ÿj5>Èsxs69CEFRkl85&CEu?AY5dZAZA?A5l[XFfX[]5wgR`d6nZAZA[]5>5>`_=xsCE;6|F5>8R5>:D[]5>5hZA^9Z[<5>Y_ [E69`8Rÿ~?AB{FR} õ¡=O5d[<gR=O_75h=Okh5>5.?A=69?A[<5>¸8HkQC]FR?A_78[¤69=Okl?A5hC]Fm ^69÷==7_;xsC]5>kQF:DFR5>5>69^9[]8[]ZA5hYR5>ZO_7_ mX}z5>8XÆn4´h?lÊ} 5 y ÅC]d^95>euÌ 8XfX=O?=OgR?Ag5h[q_7ZOm=O5 [<_7rs}5w5$¯f~CEm¤gZA5$5h?AZOFmB<569:D;5>5h[<8#\;8?Q=OC][]6n?A69_76|8R[]5l5$8 7Y;[]`pZA` ZA[E[]Kö_ Ä5>khj?AMO69 Nh[<GJ8;\XT m7®]`U ZAZA5>5>L5&YÄAMA^8CEML[<yk>8;698R®B¤ZA695h=6|k>8{5>gf~ZA5lg=OCE6969kL:D:~F 5 8R5lCE5hkL=@F?A5l8[~fXgR5 5hZOm ¢ ;£.¢ X6|£8 !\~m ¢@ÃEÁEÜÄl¢ »[]` £ X¢J6|£L8}k>^9;g[-;6|869?B =Og 76nk>?A5>=O5>=7^n`Q?A£L[ y YC]=OZA=O[jg:D_75d5?AF?A5wFCE?AFR?5hC][]^9ZA5>?A_F5`pYR[]ZCE?A;F7}5h4;Y;6n?AZAFR5>=O[]=Og69[<?8R^9=[<=O69=8 []z`CEB]ZA5>58R=O5h69ZQ8RCEB<^96^9?5mX^yRCEr\5>5z^9=klC][E8 Z 69=V¸ögR5>8RklC]kL?A^96|[]?A8RFR=CE?q[]``V[E=OgZkLCtF$f~^|C]g\5h5>ZO^9m =>}¢J¢ `£ 8[]?rs5C]RL{y 5h~?O;ZQ¢C.¾:<Cj£dZA6|C]5h\R8R^9[]5>?A=Q5h£L=} ?A[]FR` 5¤®=O\R5h69?z8R[E`s698R:]B]CE=ZA`6|ZAC][<\_ ^|5h=zù6|8 ?A[×y}CE°8[] Z?AF569=Ok>¢ gR=O×d=O69[]£8¤5>\85>[]^9[l?Ar5>=dr?A5F5¤85>=O5l5L ? ?A?A[FR5{B<5>¢J88R5h5hZQ=@?AC]5l^96é>£5wk>?A[<F85>=O=@?O5ZA8RgR[]kh?d?A69[]k>8R^|C]=sgRCE=O85h=d []?A`FR5h?AFR85¤C]YRfXgRY5h^nm ZOmX?A}FR5>4_'5¤?AC][^9=O8R[$[~;5h5>R=s8R698 5 ?AFR5dC]g;69^ 6|CEZOmH8[]?A69[<8=[]`8[~5 G®ÁlW]ÀsC]8tÃEÁ]ÄQT¨ÁDÏ>Ð|MLÀA} ÏLqM¡ä TVÁoGpPpèU lÑXM¡æ¹è·TVU·ÿ~¿} Ë~Á} K ]MLÀAG ÀAT¨Ï>Ð IoU MLÀAGMOÑhÂÝN {EURÏQ¤ÀAM$GJÄLÏQÁÒMLTVNhU~G$W7N>GpÐ9PRÁ]hM{Ò~ÒRÀhML¿¨MÄQU I MLÀAGMOÑhML G ÀhÒRMLMqÄLMzÑXT¨MLM TVÀU<U KR]Ò;MU¡GGpGJPRÄAMzMA¬M K;¢ ÁEGp£P LÄ «GpPRM Ä ]G¢ hÒR£ MLÄLI &G MLG׫ÏQM MqÑXM ¬ U ¢ M @×w£ ¬ ¢ @×w£dDTV¢ UÑE@ÒR×wNhGJ£ TpÃ]MhÐ I{Á]À <Ðp À Á]À TVUÁ<]ÐVÐV I ¬ ¢ À ]ÄGpAPR£ PRMzMLU U lÑXM PÁ]ÀqÁ{Ð9¢ ÁDÏQ¢ MhУdÕ OÁ]z×dUGpÑ£ PRM ]Ä ¢ @¢ ×w¬ ££ ¢ ÁEÄAMzÕ ÑX@M×w¢ £ £UMOÑ TÁ]UpÀÑ ¬ Ð9ÁD¢ ÏQ®Mh£.Ð|MAÁEÑzU¢ÏhÑ I@×wÀ £ MU¢ MLÀA@G×wMAÑ£¬ ¢ hÒRMLÄQÕ I @×w£ ¬ ¢Õj¢ O£ ×w£ Gp¢ PML£ Ä TVÀhM ¬¢ PRMLU ÕL£ GpPRTVMGpqP¡:]ä CEÁ{ZAp6|Ð9C]è ÁD\ÏQ^9Mh5>Ð =æ¹è·qGpÿ~P} M²X} ]]ÄÄ]ÁqÄ$UÁul¢ UÑD£MlÑXMsÐ9M¤ÁDÏQNQMhTVÁ]U#Ð|MOÐVÑ.GpPÝÏhM IGpPRÀ M7?QCEMB U MLÀAGMOÑ N>ÁEÐ9hÁ]UÒRÒ~Ñ MLÀ>ÄLM I ÃEÁ]wÄQT¨GpÁDPRÏ>MÐ|ML?QÀ®C] B dGpPRMq¿¨Ä ÄAML]À¨GK U lGpÑXPRMqM¤TV:]UuCEGpZAP6|C]M \^95>= ÂH#TVÀ.N>GpÐ9PRÁ]Ò~M{ÀhG®M ÁlW¿¨ÄOMLÀ®K GpPRTVMGpqP¡:]ä CEÁ{ZAp6|Ð9C]è ÁD\ÏQ^9Mh5>Ð =æ¹è·qGpÿ~P} M¶~} ]]ÄÄ]ÁqÄ$UÁul¢ UÑD£MlÑXMsÐ9M¤ÁDÏQNQMhTVÁ]U#Ð|MOÐVÑ.GpPÝÏhM IGpPRÀ M7?QCEMB U MLÀAGMOÑ N>ÁEÐ9hÁ]UÒRÒ~Ñ MLÀ>ÄLM I ÃEÁ]wÄQT¨GpÁDPRÏ>MÐ|ML?QÀ®C] B dGpPRMq¿¨Ä ÄAML]À¨GK U lGpÑXPRMqM¤TV:]UuCEGpZAP6|C]M \^95>= ÂH#TVÀ.N>GpÐ9PRÁ]Ò~M{ÀhG®M ÁlW¿¨ÄOMLÀ®K `VkQ[EFRZ69x^|5>;[¡:DZA5L5>=OZO8t6|_7m CjY8RZA^9[~5 6 `;moC]5 ^9?AFR;695H8769=@?A?AY;6|FR8ZA5>5 kh=O?l5>}8Xxs?QCEFR?A5q69[<B<85>ys8 rs5hk>ZQ5H^|C]C]^rgk>=O69C]^5d=O[E5CE` =Or~=OgRFRyD_7?A5hFZA5&5q5=O?Q[<CEZA_7B<=@?7=5[E?A?Q`FC]CjB]?l÷ == y _C>e¹m75L?ZA5>Ô<YÕ 5lOCjÔj?wÖ.69\=5 k>[<6988YR=O6|g?q5hZACE5l8&CE[<`p?Ag5L?AZOYrgCE?ZQ;vz=>xs} vw=dZA5>=OY5>kh?A69:D5>^nmX}$~gRY ?AYFR[<5L=OrZA5756n×?A5hF.;69=O=@[]?A_7=C5>?QY¢JC]CjÔ B ?AÕ F £zC]8RÕ - =Og¢V×wkLdFq£ `p?AZAÜF[<_Cj?Ô Ö?A?A}FRFR55s;=OZA695l[X8RfX[]khg?5 5>[E;8R` ¢Vk>×w;5 ¢V£dÝ×w:;£[E69?A[]`[¤^kLCjFCq?A695>^8=.~[~ZAÔ 5>Ö 8 5 y ?A[]=OF69` \RCj^n?m#:~8695>[<=@r^|?ACj5lCE?A=z5>£=k>?A[<F85=@?OZAZA5>gRB]khgR?A^|5lCEuZ5h;k>;^|gRC]Y5gZA=O5>?A5$[=O=O[E69=O[]`[<8 _7~}5qw8R=O` [~Y5>5khÕ 69R5l6|.8t\X=Om[]#_7ÔjÖ]CE5$}ZA5¢J¼Y?A[][]FR?A=@55 ?Q698$C]B]?A=zF5w[]`^|C]?A8FRB<5¤gkLCEFB<6|5 ^ ~ZA5>8¡[E` 698?AF¬Õ 5 ¬ }?ZA5lHC<;k>6|^|^nC]mg`V=O[]5<^9y|[l?ArFR69== `p·ZA[<_ 69= Y^|C]ZA8[]B<Yg5hCEZO?AB<695>5>=>=y~[]5>`C]kQZAF75>B<g5>^|=OCEkLZdZA6|^|\CE8R5>.B<gR\XC]mqB]5>Cw=:D?A5>FRkhCE?A[E? Z[] ` 69=?O698HZA6|Y`VC]^95hkh?A?w=C []`gR8R8CE6|[]?Ag8uZQ[]CE`^ ?A8~698XFRgR?A5 _¤5>B<\5h=>5hZ ZAy ¡=¢¨»=OÓRgÕ ´kLF Õ ?AFR<yXCEÕL698.?£ 5>:Dj5LZO¢¨Ómzrs[]ZQ?AR[w£Ly<\ZAr55>FR=@Ó ?O5hZA8 69kh&?A698`VÝ[EBdZ³;?A=OFRy;[]5CE_788~5 gRY_¤5h[]\=OCE695hkh?AZ69?A:D^n[]m 5 ` Ó rFR5h8 ß³;}°RgZO?AF5hZA_7[]ZA5<yE?AFR5=O69é>5h=[E`Ó y y~CE8 CEZA5Cj? °E K% J O% 6j -° 9°x © ²L © ¹©° ?§ © 3];U ±Ì ° À ?¥ © ² © bÀ ± © ®º^§ © y° m° Í Ì± T± °E ¬° R (° ?¥ © ]Av±T²< ® v± !Ó MON IÏ ° ¨ g 0& y¨ "° ð ]½v± 𠶲 ð ¬Ä*¨¹« z% % ¶% ² d %j ° ð ° ð ]Ìv± 𠶲 ð ? BBB °'d]ñv±!d¶²"dv « m% j %xw %'% y« °'ð v%-² d ¨ ?%xw ´ y ° d *]Ò ö t ðM M M d v± ö ´ 2Ó MON I ° d j% %x Ó MvN I ° ð ]^Ó MON ION ° ð Ó MvN I ° û Q ] PmSEÓ MON IÏ ° ûSR ' "ÝÍ a Ó MON I ° ûTR ' {[ D 0 P D U Ej% z% <Ó MON I P D D *j% %x ´ r%j "j% ¶wÊÀ ?¥ © ?Æ P D ] V °'d Ó MON I P D "] Ó MvN I °'d ? ?" D ?%xw <« "° d ?¥ © ? P D *]¯ ° d ;Ó MON I P D *]^Ó MON I ° d ' D D AU% &% mCE) ¡GC¢)E¡ ? r%j +j% ?wÊÀ ?¥ © ? 0À ¬%j D ¥© D <%j D UQ% &% ?%xw « b%j D %j D -%j %'% z% 6C E E¡GC¢)¡ ;%j$°'d g 0& ° d D AU% &% mCE) ¡GC¢)E¡ ? r%j +j% ?wÊÀ ?¥ © ? 0À ¬%j D ¥© D <%j D UQ% &% ?%xw « b%j D %j D -%j %'% z% 6C E E¡GC¢)¡ ;%j$° d g 0& °'d D ' a¯MONQP N ª N ª 2C) E¡GC¢E¡ N 6 a D ° ¬° 3Ý ]· BBB N ª J° 'ó Æ° \ D 2° X B BB ` D -C) E¡GC¢E¡ 6\ X'W ó]ÒôÆ'ó+m BBB ` Y'W ó N M '* ? BBB `8 M `8Z` ö ¸ ® ö 0] BBB N ¸ ®¸\[ M ö ä Î ] I ö ^ ö ö ö Mö ^ ö ] 8 ö N ª ;CE E¡GC¢)¡ CONSTRUCT WHERE root WHERE for q’ root answer X1 other-movies(X3) movie Y1 title dir Y2 Y4 movie actor(X3) dir title X2 CONSTRUCT for q’ X4 = W.Allen title(X3,Y2,Y3) actor q’(X3) Allen-title(X2,X3) Y3 actor X3 X3=Y3 Y4 != W.Allen ýpû òjë òjñ hë ]îlýpñü òjë~ë ë~ò ô _769=[]?A=@FR?5 5hU;M®YWD[<ÁE8GJT5>]8XU?A6CE[]^ `6|?A8{F5d?AFRZA55>B<=Og6|éh^5zCjZd[]`5h;Y;{ZA¢V5>?A=OFR=O695w[<8ZA5>C]D=O[<£L8$}sxs\F5>695d8RB.`V[<?A^9 FR[lCEr? 698RB rs\5>5u^9[l=ArC>m?AFRC5GJ=@ÄO?QMQC]M 8rsCE5uZQ7_7?A5>5hC]ZA8_769C8R[]?O^|ZA[]5>B]5um{[]CE`8;75>`pYZA?A[<F _ª8R[lrß[<}84rFRFR5>5>885>5>:D:D5h5hZZ rs5h~5&?A5>=A8RClmo5l ?AFRyXCE\X?mÁ-C<GJÄAMA698RM Bq×å8R[~Àh;ÁE5>GJTV=sÀ s[<8MLÀ7^nmÔ<6|Õ.8{rs;5>5HY_7?AF5lCEB]8ZA5>CE?A?AFR5hCEZ?7?A×ÜFRC]8 klCE8<\?A[5 69=69_7_75l6|CE?A5]} KRGpPÒ;MLGÄAMGJRÄOæMAM M]àTVæÀAÁ]GJá ÀUÑ.TVpU¤æÐ|MLèGpG PRÔ M ÿ;Ö } ±~ÏQ}MÀ MLG {M ÏQ{]MwÒ~N>GnÁ KÐ9Á]Ò~Ò~G ÀhM hÒRMLÄQI ;Á¢VÐ|U×wMLlG£ÑX×·ÃlM T <ÏQMÐ9ÁEÀGTVGpMLPzÀÀÔ MÖ TVTUM Î _7C¤?O[~e¹ZA5L5>g?.5d^9[¤?A× FRY;CEZA?[<=AYCj5h?AZO6|?>=@mXR¢JÔ}5>Õ =e¹£q5hÔ<\? Õl5{} !Ct\?O5wZA5h?A5{FR5[E`w=O5h_7?69[E8`6|_¤8R[~gR;_a5>==O69698{é>5{×ßFkhCl[<:~8R698R=O69Bu=@?A?A698RFRB5 G®ÃEÁ>ÁEW ÄLT¨Á<Ï>Ð|Á]MLÀUÑßÕ NQP~TVÐ9Ñ]ÄAMLU ÕÁEUÑtÁ&Ã]MONhG P]Á]ÄÃlTV¢¨UXÓRWÕ G®ÁlÕ W]<À ÕL£ Õ j¢¨Ó Á]URÑ£ []`?AF5w`V[]^9|[lr698RB;} ´<}C]^9¹?AF5d8R[~;5>=6|8{?AFR5z:D5hkh?A[]Z y ¬Õ ¬ À G TpU ¢ >£ ¢ ¢ ×d£N D]¢ URG®ÁETVURÀ¢ ÁzGJ@Òj×wKÐ|£OM £O£sTVÀPMLÄAÀAM T jM]ÄÓ Á<ÐV »E´ÄÀ M µ~}`V[]Z5>:<5hZOm rFR5LZA5d?AFR5dZA5>^|CE?A69¢ []8 ¢ @×w£O£O£ K ]ÀATVGJTV³ Ã]M¡Á]UTpURÑ GM¨WXzMLÄÀQT E1MÓ ÀQÒNQPßPMLGpUP;Á]G ³ PMLU 6|=8[]?5>_7Y?mXyD?AFR5z8[~5>=698H=O[]_75d:D5>kL?A[]Z y °[E` []Z\;ZA5>¢ :~69@?×wmXyD£srsCE5=r?AF6|5^9ZA5hl`p5hÑ]ZÒ;Ð69d8{K?AFÄ L5wK=OML5lÄLfXGJIEgR} 5h^?A[q?AF5wYZA[]Y5hZO?mH¢ >£ ÿ;}`V?A[]FRZ{5d5>8:<[~5hZO5>m =698Hr=O[<6n_7?AF5wk>=O[EgRZO\ZA¨5>ZA=O5>Y^|Cj[<?A8R6|[]698H8RB[]`?O=OZA6969é>YR5^95hÓ ?¢¨[EÓ ` £LyC]^9 D¢ ¢ @×w£O£O£ fX¢¨Ó gÕ®5h?dZOm ?AÕ F~;gRyÕ=w£=OZA[<5h_7_j5 C]¢¨Ó 6988R[~=w?A5 [$=OFR698¡£[lr'`p?A[]FRZ ?A5 FCjCE?l=yB<695h:DR5>8R8¡5lt{C]8¡YC]\Cj6|8ZO[j?lYR:Dy5]g;CEy?d8[]vz8R5dxsC&vk>C]:D8H5>Ô khÕ ;?Ay¹[E5hCZ C]8 kh6;x¹5s[H6n`RY?AZAF[j5:D5 _7?A[~F6|g=^9[6n?qY;=OZAg [<7Y5hkhZO5>?=zmz?AFR[H[]^=O;FR=[l`Vr [EZ?A=OF[<CE_7?56n`?OZA=O5hg5kLF-× C&×5Lh¢J69Ô<=@?AÕL=>£Ly} Ê}6|C]8$^9¹6n?A?AF5>_75z=z8R[~´hÿ 5h=C][]\8&[j:D?A5]FR} 5zYRCE?AFR=`ZA[<_Ü?AFR5dZA[X[]??A[.?AF5z8R[~5h= ?A\XFm$5>8-=O[<_7?AF5d5hZA`p5 gR8R5hkL;?A696|=@[]?A8u=.CÝ[]`¦?A=OFR_5zC]=O^969é>§u5h=w=OgR[]kQ`F-?AF×5zyÔ<rÕlFy [<~=Oy57CE8=O69$é>5?AF69=¤5\8;g[]gR_.8R\5h5lZA = 4C]8R5¤¡8R85h[]~??d\XCEmuZAB<×g5.}7?AF8RCj?d5>5l?A FRy5¤¢@=O´l69£wé>5 B<5>[]8` 5hZQCE?A695h=z=.\Cj[<?g8_7;[<5l=@u? \~mu ?A8RF[~5¤;5>698= YRgCE=? r=O¢¨FÓR5[lÕ r=O6|Õ_7\D5>Y^9ÕL^n[lm¡£ rÝ8?A5>FRj5l¢¨CE¡Ó ??A=O[&gRkQkLF7F5>CdkL£L\¡}[]C]xsgR^98FR¤5>?A8FR[<yD5 8 ?A?O[?AZAFR5>5s5>5>=?OkhZA6g;5hY-55=O69?A`6|[&éh?A5F?A695F8CjC];?q\5>[j5l=O.:D6|éh55<5LFR}&[]69=@4-^|?A=>5= } ?A8~FRgR5¤Ö_¤8~CE\gR85h_.ZAÝ=z\¢¨\5Lÿ<5Zw£d[E¡CE` ?}H_7÷ =zxs[]FR69=@=z?5>8\Ó y[<g?QC]8~;695l8RÖBH\X8R698Xm[~?A;[t5>=>C]y}kh¢®k>e¹µ][<£5Lg?d8~B<?A?{5>FR8¢J5 5hÊDZQ£L=OCEyg?A_É5h?AFR=¤57[]Cj`?z=O69?A_7é>FR5{5>[<=O[]=@5?` ZAg5>^|CE4ZgR8R695h?AR;FCEY[<8~ZAg;5h?q?&=O=O=@^96|m;[<[]_.=O8R=&=\[][]698¡`q^9=>}tB<Ô]5>Õz°8k>5h6nZA[<ZQ=@8XC]? ^9?Q6nCE?[<6|mX\8yw=O= 5hC]ZA7=O:D=O57?AgFR_7?A5hF85Cj?.6n?A?FR6n`CE=Og?$8R7[]Ô<8Rk>Õ$5>5=dk>[][<?A`8X[$?Q?AC]^|F[X6958[]=&-ZA5h8RCjB][? 69ù8RYÞw69g=dg?Zw\C][]B<8RgR[<$8C];^85l[]6|=dt??A[<\~[$8{m =O×qFR[l} r¾?AFRCE} ?zÚ 6n`^95l×·CjZA^969mX=zy \6|B]B<[]5h8RZz^nm?AFRC]5h8¡Y5>C$8B];6|=d:<5>[<8¡8t=O?A69FRé>55 ?O\ZA[]5hgR5>8R=[]5l`&=O69^9é>5>5 8B] ?A¢FÔ}Õ xsF~gR£L=}xsC]^9FR69r=5q69=8\5>5h5lkl$C]g?A[7=O5 kQFR¤5h^9kL[X$[];CE=ZA5zCj??OZAY5>CE5>?A=F[]=`[]?A`FC5 ?A8RFR[~5h;8u5>=69?w698 k>[<8Xy<?QCE=Og6|8kL=zFC7?AF=OCj5h??d?A[EFR`58?O[~ZA5>55>=× -~[<y \8R?QCE[E69?d8R695l8Rkh`p^|gRZA[<_º698RB{×oCE\~8~mwm&ZA5>[]_7`?A[jFR:~5 kh¢¨xs[]ZOFZA5 5>=OCEYkh[]?A8gCE69^8:;B¡69[]_^CjCj?A698R69_B&CE698^s=@?Q5hC]Y8R?AkhF5¤klC]CE8R8-?ArF695>?A8tFÝ\Cu5¤\[][<\g?Q8CE6|85>5l#tr\~m$6|~?AZAF¹5h } 69xs8RFRB 69=1r=@69?A^ 69^|Rk>[<\8X5>?O^9[<ZQC]8RB]69=kh??A[ ?AFR5z_7>¢J69Ô<8ÕQ6|£_C]CE8R^9 6 ?mFCE[]=`?A×F} 5_7[~;gR^9[dY;ZA[<Y5hZO?mX} ?OYCjZA?^|5hC]5¤^|k>5>69C]`V8R[E=@B7?Zz5>=O?AC][<FRkQ_75¤FH5d^|5>[][ECE```s?A?AF^|CEFR5d\5w?O5>ZAZA^J5>5>} £¡B]5dgR^94-^|5lCECl5¤Z:D5>5h?A=;F~YgR\XZA=wm5hC]=O=O=O=O[<6|=O_7[]g8R_75=5.Cj698HZA69\R8uÔ<6n?OÕ?AZQFRCEk>5.ZO[]m&8X=O?Q5>C]f~5h69g8ZA695>:]^XCE}?A?AF69[<Cj8 ? 8R698[Ú ^9[<5>^95l8R^95hCEB]?AZA5h69^n[]m.Z8{\69` 5>[EÜ^9`[<8R8R69[~B=8R?A5h[ [E=??AkQFFRCjh[]?¢J=OÔ ^95>5lÕ 87Cl£L}:Dkl54-CjZA?A5h5F`V5gr^|?O69n^ZAmX5hyD?A5?AF~F69gR85s=Ô<ZA\5>Õ>5=O}gR6|x8X^n?A[z?A695h8R?AZABFR5h69=@?O=?AZA5l5>5h.58.[<_8rsCl^nmm5 6nCE?A^9=w¼8Rr5h[~6|~~?l?A5hyF¹=8R}¤\[E;5h?A57mD698[<?Ak>8F5¤uCE?A?;F5>×5.YfX?A_FgR5LC>ZOm-mH\^9Cj[X5ZA[<5¤^|~CE5>=ZA=OB]=OCE5&5h?z8~;?AC{gR6|CE\5 ^|n[]mu?AgR[u86nZO;6nZA?A5l5>=.t^95>;:]5>C]5>Y8XY;?A?lF?A}wFu=;69[][ 8Z.r×?A[5 y 5Lq8Rä 5?ApèFR5d8æ¹[]è·?A69[<ÿ~8H}|´>[E³;`} CHsÑXTVMhÃ]Ð|MLMLU#G®ÁDÏ>Á$Ð|MzGJÄAÒ~MAURMTV×GJ} >¢JÔ<ÕA£ÁEUÑuÁ&U lÑDM []CEkh8R?A^nm#gCE8^5>:~5l6|[]^|CE?A?A[t698R^|[XB$[]6|#8=@CE?Q?¤C]8?Ok>ZA5>5>=d5>= klCEg8¡Y^|?ACj[?A5hZz5>\Y;5q?AF [<\;?Q}ÝCE698R¢ Ì 5lH=¤`pC]ZA\[][j_!:D5<?AyFR?A5hF=O55 ÁTVU 5>^95h× ?QCE\RÁ7^95N ]gRUR8Àh69MO?NhTÒ~dGJTV¿¨Ã]TnÂwMGpÀAPRÒMÏhÀhGJÄAM MAhMÒML× UNQDM ÏhG®Á]TVUMOÑ LÀdÄ NQPXTJÐ9×·Ñ]ÄAMLÏhUuIqTpÑXÀwMhNAÐ|MLÁ<GJÐpTV|UXMAWÑ ?O;ZA5h5hZA5>69=:<Cj\X?Am69[<ZA85>Y?OZA^5>CE5k>69`p8R[]BZs5l?AFCEkL5FH^95l[ECj``?A^|FRC]\5d5h?O^¨ZA} 5>£.5z°^9[]5lZCl:D\;5hZA=5>:~\X69m$?mX=Oy<[<r_755rCE69ZA^ ¹\6nCE?O\RZQCEgZO=Om 5 Á]U¿ÑuÁ]U¿¨TVÑ Â GpPRMÑ ÀAjÒMLÏhÀwGJÄAU MAEMLÀzGNÄ ]UREGG®MAÁEÑ{TVUÁ]GÁ GpÀQPRÒM Ï>dΨÀhÂqM hÀQÒRGJTVMLÐ UNLÏLMMhÐ EP;U~Á]W]ÃlÀdTVU~GW7GpPRMhÁD¢JÏ Ô<]ÕQÃ]£ M ¸5>k>¢C]^9£LD} ?AFCj?rs5s:~695hr ¢ @×w£CE=CZA5h^Cj?A69[<8¤r6n?AF.CE?O?OZA69\Rg;?A5>= KÄ L4KML5wÄLklGJIC]8H=OF[lr?AF5w`V[]^9|[lr698RB;} þ & r'ó O% î"ë (â L7 _ )ç 1`a T8 'W ó 'ó y¨ &° -Ĩޫ x ?%xw ? ?%xw 6% Æn-oQn ° O% 2 k ¶ *CE) E¡CC¢)E¡ $% j° &% D %Ew D BBB D ` Þ : BBB ` J¥ © ' BBB E¥&© `0 v% M b ? BBB `& M `8Z` c W ó ]Òôr ó + BBB ` % ö ¸ } J%j *Ó MON I P D ° M Z ? B~BB ö % D -CE) E¡CC¢)E¡ D + D ö o ö ]¯f f óTgihGjpkl t f OÓ MON I P D ö D ö q# z° D mä # Ý ü Ø 'Ø 6° ä P D F A9 % X MONQP g 0& {% N N© ÞÓ MON I D JÝ °hÝ r# Ý °)Ý s# MONQP !ü n ÞÝ °)Ý Ý °)Ý d t9 Ë° ? R 89 ¬Ý °)Ý ö M ö Z ö ö a3MONQP Ý °hÝ V {Ý X ö a o ö d Û Ù e ff óTgihGjpkl t f OÓ MON I P D ö )R ' M 'Z ? B~BB `& M `8*'` !Ý °hÝ # *) % ` M ` * ` aÒMONQP BBB N *J Qj% x0] ö -¸j% %Ew X%j ~} ¸ [ M ö ä Î Im ö n ö ] wm% QÁÝ °)Ý ~& *) -Ó vM N I P D {% d ÛSÙ e ff óTig hGj kl t f OÓ MON I P D ö 5 mN © C% u j &% %'% {% « a¬MONQP N © %Yj N/v % "j %Ew ?w % {« &% v% MONQP {% ? UU ]lÑXUMLÎ RÀ ]æÃ]TVàMLU ÄLæÐ9áÁLKDKpTpæU~¹èWÝPRM ÑDÿ;Mh}9UR´]Ð|ÒML´<G® } ÁDÏ>ÏLMLÐ|MLM&Ä G Ò;».UTVÏQGpGJMPRÀ ¤M$Á U 7ÑX]MhÁ Ð|G¤ML]G®NT Á<7]Ï>URÁ<Ð|G®MÐXÁ]ÑETpÒ~URTVURÃlTVTVTVUXGJÀAWoÀ¤T ]TVUÁEU URI !×ßTV$À.TVUGpUPRG M Ð|MLÀAÀdGpP;Á]U × ;¢O¢ Ô Õ ¢ ´j£O£ £ `p_7[]Z []=@ZA?R5hæB<Ô gRæ Õ ^|CjyqZ7C]¢®^|8R;C]D8R5LB]?A?AgkLFRCEF5$B<£5>8~°=>gRy6nZA_.?A=@FR?l\yD5{5L8RZ =O[E69[]?Aé>5`d5$?A=O[EFR6|`w\CE^9?l5>6|8y]C]\~kQB<FÝmz={?A=O;F5>5>Y5s^95hCjYR?QZQgC]CE\_7?A69^98R5$YRB69g8R8RBC]6n8X^9?.5>m#_769=7?_rCj[C? khC{[<8R8R[~=O5h;k>5 g?A69869:D5&ùFR5>^9C]5h=?QCEC{\R^9=O5$5lfXggR8R5>6n8?A=.k>5.69=7[E`CE^9CE=O?[-_7Cj?7[]=@_7? [<Ô =@Õ? R`VÔ<[]Õ ^9|}o[lr;698R69_7Bo69^|¢JCEY;ZAZA^n5hmX y kh15l[]69Z8RBD\£¤5>^9=O[]698R\RB<^96 =8RB]?A[¤=7=O8R[][]_7?.5d698Rk>5h^9^|g5L;?QC]698R\RB¡^95C]gR8X8Rm#6n?l8R} [~Ú ;[]5{8Rr=O6|F5h69kLZF?AFR69= 5w5>_6n?ACjFR;5h6|Z _6|CE8 ^ r=OCj69?.é>F575h_7ZA[E5.[]`=@5h? C7:D5h?OÔ ZOZAÕ mu5>¹5 888[~[~[]?z5.5>=>FRFR}HCjC]:~;=z69[;8RCEyB$=d?AkQC]FRFR8X5769m^|_;;ZACj5>5>8^95h69_?Q8RC][~CE\;^^|5.5>=O=d69gRé>6958R8 6n?l[Eù}¤`=Oxs=OgRFR5>kQY69F=zCjZQC&69=CE?A?OC{5lZAt5>?O57ZA\X5h69m5= C[E]¢ `RÔ<;Õ×5ly.5>¢ ?AC][zkQF?AFR{=O69g=´jkL£O?OF£ZA5hC]5y]Rr69=F6nYR?A5h69CEZA[<5ZO8R?¤C][]^6|`¹=8=O?A[~[<F_755q5;\5>5>Y5h^9?A[<^|5LFq8R?QB]C][]=>\R`y ^9?A569FR8t5gR8?A?OFZA69?l5>5q}5<r} 8 Ì[]ZA?A8X=@FRmz?z58Rk>klC][~CE=O;=O5<55 y ?A?A[wF5[<8R8;5sg_.69\=@?A5h69Z8Rkh[E?`=OgR5h^|kQ5LFu?QC]8R\R[~^955hg=8R696n=?l}?AF°R5>[E8uZ Cj?wi '^95l¢CE=@Ô<? Õ × ¢ ~¢ &´l´j£O£L£}°Rg;ZOÕ y ?Am;F695>5h^|ZA_7=d[]CEZA?z5]y<^95l=OCE698R=@?zkh5× 5l;C]¢OkQ¢F ;5>^9´j5h£?QC]\^|5Ô Õ g8R£w6n?5>69=^95h[]?Q`CE\R=O69^9é>5.5gCj8R?6n?A_7=>}¤[]=@;? gÔ<_7Õ _7l?A69FR8R69B= gY¹y;rs5zFRCj:<5w?AFCj??AFR5d8~gR_¤\5hZ[E`5>^95hÕ ?QCE\R^95zgR869?A=69=CE?^95lCE=@? × ~¢O¢O¢ Ô]Õ ¢ ´j£O£ ´j£ Ô]Õ £ rF69kLFH69=\[<g8;5l$\Xm × ;¢O¢ Ô Õ ¢ ´j£O£ ×P;Á]ÀdÁEæ GRÐ|æ MO>Á]¢J]ÀAÔ<Gâ ÕQ£ ÜÑD ÿ~MhÀAÐ|}9MLT´jjG®µ~ÁDM} Ï>Ð9Ð|ÁEMwĨEWXÒ;Ä MLUÄ7MOTVÁDGJÀGpNQPP7U Á]]UK G]ÀATVUTVGJN>TVÃ]Ð ÒRM¤¢OÑE¢ TVTVUU~Ô]W GÕ M®WXÁ]MLUÄ I ¢ sGpMOPRºÁDMdNQ´jPtU £Ol£ GJÑXÄAMAMLM£À TpU 4-?AF5z5zr=O69é>6|^95[]g`=O5 ×Ú }[]ZA8&[]^|YRCjCEZOZOm?A69k>ÿ;gR}9^|´jCjµ.Zly?A[7rs5z;5hrZA6969:D^ 5z=O?AFRFR[l5drZA5l?AFfXgRCj?6nZA6n5l`$׺\[<69=gR8R^|Cj&ZAB<[<5h8 Z ?A=O[7FRC]?A8FRCEC?=OB][<69:D_75>85zkl=OCE69é>8u5u\?A5FRZA5h5h8_76n[E?{:<k>5l[<$8Xr?QC]6n69?A8FR=$[]g5>?w8[<CEgÍ B<5>Fkh?A69;85>B^95h?A?QFC]5z\^|_75t[~g8Rg6n?A^|[= Y;ZA[<x¹Y[{5hZO5>?C]mXkQ}F¡;5>^95h?QC]\^95.gR86n? []`×¾r5.CE=O=O[Xk>6|CE?A57C7:D5>kL?A[]Z ¢ Õ ¢ £rF5hXZA¢ 5 y ¢ a@×w´ £O£O£?AFyCj69=q?zk>?AFR[<8X5{?Q8;CE6|g8¡_.=O\[<5h_7Z5¤[E`8R[~?AgYR5.^95>6|8 =¤6|8 y _7[~~;69_7gR^96|[ ^ CjZA^9mX} y¹?A[&5lCEkLF-=O5h? [E`5>^95h?QCE\R^957gR86n?A=z[]`=O69é>5Ó r5 69=qCE=O?A=OF[X57k>6|CE8;?Ag5_.C\5h:DZd5>kh[]?A`[EZ ?AgRY^95>ª=¤¢698 Õ ¢ £rFR5hZA5qX`V[E¢ ZC]^9 ¢ª@´ ×w£O£O£ y ?AFRCE°?ZA[]k>_Ü[]8~?Q¸wCECE698H_7=O=O[<5h_7m ÷ =5dxs8[~F5>5z[]ZA695h8 _Ûy¢J=@_7?QCj[~?A5lg&^|[ \5>^9[l} r`V[]Zk>[]8;:<5>8R695>8k>5j£Ly ×B]CE869:D6|&5>=8 `^ZACj[<ZA_B<5hy ZÚ Ô ?A[]ÕFZAnC]y[<8^9CE|8CE=OZO[] m¡_7ÿ~5}|y;B]´hklÊ6|:<C]y 5>^96n8?w5l{\`p[<[<?A^9FgR[l58Rru=wÁ¢¨?ACz.F`pCjÀhgR?ML8I`pkh[]?AÏ Zz69][<Ò~5>8{U:<5h[]ÑlZO£`m ?A?AFRFR55>8¡ß?AyXFR³~?A5LyFZA6n55 ` 5L[E`69?A=@FR?A=w5C8R[~=O;5L?5>=Û698 []a` å=>} ?l}5>^9`V5h[E?QZdCE\R5>:D^95.5LZOgmH8R8~6n?AgR=_¤6|8H\5h×Z y8[]?w6|8nyk>^9CEg^9;6|=O8gRB\=OC]5h8X?Am = [E\` 5{;69Í []5L`sZA=O5>6|8Xéh?¤5 :<$5>khFR?ACj[]:<ZA5¤=?A`V[EFRZ 5.;=AC]6nÍ _75h57ZA5>CE8X=O? =O[X;k>÷ =>6|CEy?A\R5lg;?q:DC]5h^9khs?A=O[]gZ\R¢V=O?A5hF?A5h=qZA5 []`_?AFC>m5 =ACE_7e5h5z? =O69é>5 .FRCj:<5wÕ ?AFR5d=ACE_7Ó 5d#:D5>¢VrkL?AFR[]5hZLZA£L5$} Ó £L}t®`×69=¤^|CjZAB<5hZ ?AùFRC]8H5>^9?A5hF?Q5.CE\RCE^9\5[EgR:<85q69?A¸=dC]r_76n=O?A5LF-mH?A\F[<57gC]8\ [jyR:D?A57FR5hY;8uZA[<69Y?w5hk>ZO[<?mX8X}7?QCE¼w6|8[l=drzC7y=Ok>5h[<? 8=O6;5h[EZ` ?A¼F[]5s?A5?OZA?A5>F5Cj× ?× [<\;=@?Q?AC]6969^|8R5>=A.Cj?A`p69ZA=@[<_'5>=s×ÝÔ]Õ>\Xy;m¤C]8RZA5>_7=O69[j8:~k>6958RBw8[<C]8^9R5?A[EFR`¹5?A8F[~585>[~=6985>=-6|8 } !rsC]=5>^95h?A5>y;?AFR5w`p[<^9 [jr698B{F[<^|} î"ë z% % z% î"ë y¨ w ~& # o ¬Ý ;Ý x {Ý Ý w yw 'k w { z% {% J%Yj {Ý #¬TÝ Ø 'Ø O% %j Ë%Yj v% 'w z% Qg&ï !Ý Ý '# :Ý EÝ Ý -Ý # # JÝ Ý {Ý #TÝ {Ý EÝ ú q. {Ý EÝ {Ý #¬Ý6 mÝ ;Ý x D D ] $x $x D Ý ,x {Ý asMONQP 8ä }# -%j ~} Ø 'Ø R {Ý #¬ÝT {Ý Ý y 8ë z{z 8ë{| Ý Ý ]U% &% % !ä B {Ý EÝ 2ä( {Ý #¬Ý{ m%j P 2h6] ö h s ö P QÝ Ý >9 9 m %# < ;ä] ö t M M M ` ö ä # !Ö @ h BBB `h ] f f Tó gihGjpkl f OÓ vM N I P D ö d Û Ù e t > ö P / xw !Ý °)Ý *ä Ø 'Ø &% 2~-] 2Ö ö B BB N ~ BB~B `~ - ~ ®2] ö Ù D f f f O Ó I v M N P T ó i g G h p j k l d Û e ö t / +Ý EÝ Ý EÝ ? Ø 'Ø {Ý #¬ÝT Ø 'Ø R {% Ý °hÝ BBB N :ä +ä +ÌÝ °)Ý Ë]»Ý °hÝ ]9 9 ¢ @× £L} °R[]ßZ¹5>³;:Dy5hZOm ¢ rFR5LZA5<yE6|8d~?A¢ F5k>[]ZOZA¢ 5h=OY@× [<8£O;£O69£8Rk>B[<¢¨8XÓ ?QC]698=5h£?OCEZAkh6|?AY^n^9m 5h?ly Ó ?AgRYR^95>=>} °R[]Z¢ 5>:D5LZOm rD¢FR5hZA5 ¢ 69=O?A× F5d£O£O5>£ _7Y;?m:D5>kL?A[]Z C?AEgRZA57YR¢^95>5<6n} ?A£ FR5LZ¤\[E?AF¢ 5>_7Y;?¢mt[]OZq×w\£O£O[E£ ?AF-¢J¼wk>[]C]8~_7?QCE5>69^n8omXyC&?AFR=O695t8RB<ZA^95>5{^|CE³E?A69[<Cj8ZOm = YZAx5>ZA[#^|[jCE:D?A=O569F[][j?A8Rr«FR= CE??AF`V[]Cj¢Z?{5>× :D5hdZOmFRC]=Dr?A¢ FRFR5t5LZA_75 [~¢ g69=^9@[× 8[]Y£O?ZA£O[]?A£FRY69=55hZO[E5>?` _7mX=OyY;69é>6n??{5¤m¤ZA¢ :D5>5>_kh?AC][E69Zl8RyD=7?AFR?A[5£ `V5h[EZHC]kL=O?.[]_7=O69é>55Y[][]`=O6n?A?AF6|:<69=q5¡ZA695>8X^|?ACj5>?AB<6|[]5L8¹Z yrs} 57¸rCE69^ ?AsFRk>5L[]Z$_7?AYRFRgC]?A85¤k>?A[]FR_757YR8~ggR?A_¤698\B-5hZ?AFR[]5 ` :D5>kL?A[]ZA=5>^95h?A5>$`pZA[]_ ¢ X¢ ¢ ×d£O£O£ `[]r8R5<5z} =OFR[lr?AFCE??AF6|=8~gR_¤\5hZ69=éh5hZA[7_7[~g^|[ y?AFR5>8{rs5qCEZA5 8R[~Þw;5\R=OCE5LÍ ZA5>:DkL5?A?A=FY;CjZA?5>=Ok>69698R=Okh5>5^nm{?AF?AFR55wfXg?Ag5hZOYRmw^95>69==69Y8 ZA[jö@5>kL?A6|[]8¨`pZA5h5<y<5>C]kQF5>^95h?A5l ¢ D¢ ¢ @×w£O£O£ 698R8¤[~r;5>F=s6|kQ698F.6n«?C]69Y=Y;5l5>CE=OZAkh=>ZA}69\xs5lFR75\X?Am [E?Q?AC]FR^;55h`pÍ [<5>^9kh[j?r[]69`8?AB&FR5TVU;N>5>Ð Ò~^95hÀA?AT 69][<UR8 Î@M [ED` N>C]Ð Ò~^9~ÀA?AT ]FRU5 `V[EZA_.g^C Õ µ Ö ÿ r`V[EFRZ695lkQFHC]kQrsF&58[~5h;YR5d^|69CE8u6|8uC¤85h5>~^9?l5h}?QCExs\RF^95z5gR`p[]8ZA69?s_¤6|gR8 ^|C.ÉRZAFR=@[l?rßk>[]_gRC]8X8X?A=m7=O?A5hgYYRCE^9ZQ5>Cj=?ACE5>ZA^nm 5 ZAxs5>5hFR_7^|5h5L[j?A[]5l:DZA5>5l_ 69}8 _7¼w5>[]8X?A?A5d¢6|[]?A8RFR5lCE?C]CEkh\k>[E[]D:<ZQ¢5<;yX6|8?AFRB75?A8~[.¢ gR?A_.FR@×w5z\5L£Ok>Z£O[E£7ZA[E[<`r^969|F_CEZO5>C]mH8B]?A5>?A[.=FR5t;¸w5>CE8=@_7?O[~ZA=O[l5h5tmXm 5l69÷ == `V?A[EFRZd5 5lRCE5>kL8XF&?OZO8Rm[~698q5q?AFCjZA5s5:D?A5>Fkh5?A[E=AZAC]=_7C]=O5 =O[Xk>?A6|CjFR?A695l=.69=r5>6n=O?A=OF.5h8~=OgR?A6|\CE=O^|5hnmH?A=?A[]F` 5z:<CE[]^9gR`5=O69é>[]5 ` ´69<_}C]eB]5h5>? =69=Õ Cj\?5_7?AFR[<69=@=? 8~gR_.\5LÕ Zl}}xs[jF~rgR5>=:D?A5hFRZl5zy~?A?AF[]6|?Q=CE69^==OC]gR8{_Ü[j[]:D`5hZA;5>5>=@=@?A?O69_ZA[lCjmX?A5l5< i =OCE[<ZA5_7k>5[]?AgRgR8XY?A^95l5>{=>y =O¢J5>6J:D} 5]5h}ZQCE?A^¹F?A[<69=O_755>k>=>[<}8Xx?QC][.698R6|{8Bq?AFR?rs69=[qrs[]5zZ=O_7g\[]ZA?O5ZQCE8Rkh[~?`V5h[]=sZ695>8 :D5LuZOm £ YC]YCE6nYZz5l[]CEZq`8R?A[<[~B];5h5>?A=FR?A5LFZl}5¤8~xsgRFR_¤5hZA\5$5hZCEZA[]5 `?AgRÖ Y^|5h=O=wgR69kQ8F#rYFC]6n69ZAkL=qFu[]?A`FR58R[~?r;5>[=>y8R[~5lCEkL5hF = C]xsYFRY5h5l[]CEZAZA5>69_{8B£LyXy¤698¢¨C]BDÖCE69698º_C]CEB]k>k>5>[E=>y ZQ¢Vr698RFRB5hZA?A5 [?AÖ F695=?AkhF[]5ZA[<:]^9C]|CE^9gZOm5[E?A` [#?AFR¸w5 CE_75h=O8~5h?Om ZO÷m = rs69_.85g?AkL;FRF5l5iz:Dg=O5>[<khkL_7? ?A[]5 ZAÖ =¤?AgC]YR=O^9=O5>[X=7Ök>}6|¢JCE6J}?A¼w5<5>}{[]o?A?A5¤rFR[<?A6n?AF=OF#57CE?=OkhgR[<?A\F8X?Q=O6|=d5hC]?A69?A8R=.6969_78[E`Bt5.rÿ&5[][EZq`5l_7=O;6|éh[]gR5HZAkh5.?Aµ]5>8R£Lt}¡[~?A;[X5h[[= `V?A698[EFZZAt5h5>5q:D£5h8rZO[~m7F5h?O5>ZAZA=5d69YRC]k>^9^95h[]?gRC]8X[EYR?A`Y5l8R5>CE[~Zl=O;5>} 5>:D=sÌ 5h?AZQ=wFRCECE^5w\?A8;69[E_7g:<_.5d5>=>\?A}FR5hxZ69=[ []69`¹=k>?A[]gR_7YRY^95>5>=8R69=A8{Cj?Ayr5<`Vy~FR[]rs69ZwkL5zF{=O[<C]?A_7RFR 55 `Vk>[][E[]`Z8R8?A=@[~F?QC]5s5>8X`V=? []6|g8ZO®Cw}&[]ZO?A¼w®g_7[lYRr^9[]5ZA569C]=B<69_\C]69[<CE8#gB<85>rs=>;5{yX5l5L.C<?Ak<\X}m 5l;t698]?Ak>?A[X5sFR[u5?AFR_.6958RgRkh_kQ^|gF-Cj=O69=O[<69[H_8 rjCE5h^5;8~k>gR^95lgR_¤;=OgR\69[<kh5h8 ?Z =OgR_;698k>k>C]58&r=@5w?A[]kQY&FR[]r=OFR5 5h8&?A?AF[qCj\?5=O6|?AéhF5q5698~=gRZA_¤5lCE\kL5hFZ 5l} Õ Ó ¢VrFR5hZA5 ?AÓ []?QCE^8~£LgyX_.5>C]\kQ5hF{Z 5h^|5h_7[]` 5>8X?698 C]=O?A=OF69B<58CE_7\[j5>8X:D?A5=d=Og?AF_ Cj?z69rs:~5 6;^95>[<==@?¤\~m ;6|:~6|yX=O5h[z=z?A\~FRm5 C5>¤_7xs?AFgY;69YR?=m.^95d69=?A`pFZA\5[]5>_1k>Y;C]ZAgR[E5>öC]=O5>5kQkhFH69?A8 698R[<?A8{[]FR8H5ZA5>5>=O_7gR5L^nY?A8R?=sm76n?A698{69ZA[<5>87[<^|CE8[E?A569` [<?AÜ8 gYRr^95A5}Y~?A69kL[FDy55>6n5hH` _7¢J6|Y87?rsm¤6n?AC]?A5>=gR_Y8R^|[]µ]5]?£ } a Ó MON I P D D ö Ù ö ] d Û e ff óTgiGh jpkl t f OÓ MON I P D ö ö D ö ö M ö * ö -¥ © ö d Û Ù e ff óTgihGjpkl t f OÓ OM N I P D ö *] B d ÛSÙ e f f Tó gihGjpkl t f OÓ OM N I P D ö X D ö m¥ © ö Ù f f f O Ó I P D ö M O N T ó i g G h p j k l d Û e t ¸ ö Mö ¸ d ÛSÙ e ff ó gChCjpkl t f OÓ MON I P D ö B 8 ö d Û Ù e ff óTgihGj kl t f OÓ MON I P D ö 9 O% ä D ö N ö ]^ä ä D ö k ö| BBB x ä D t ÝË 9 Ý O% D ö Ø 6Ø 9 d Û Ù e ff óTgihGjpkl t f OÓ MON I P D ö " ] D ö 9 D ö $ä }9 @ ! D ö D ö ( O X $9 D ö 9 | D |ö Ý °)Ý m]ÌÝ °hÝ ö t M M M ` ö yä N ö 9 ö 1# D |ö %oyd > ö Ioyd hk [<}8Xx¹?O[7®ZQ?zC<k>;`V[<[<6|8kL^9k>?A[l^9=rg?A=¤F5]5d?AyFRrs_7CE5?z698R×=@69?Q_CE?AC]=@5?A^96n69?^¸mC]FR[E_7C]`=z=O×q5h?Am } FR÷ =5.xs_7FR[~5>[EgRZA5>^9[$_HYyZACE[<8Y$5LZO?A?FmX5qyrkh[]FRZA69[<kL^nF ^|CjZOm&g=O5lHC]\[j:D5]} K<UK Ò 7 ÎÏQhMLäÂ Ä æ .]ä ¢¨Ä¤Ó Á<Ðpÿ~}|´>Uwÿ;Á]}7GJ£tÒ~¿ ÄOÀAÁ<ÒÐÁ NQ.PUÒ ÀhGp7MLPI ÁEÏQGMLÀ ÄL¹À]PRÓÄ¡M ]MLÄAÃ]M MLwªÄQIo Gp¿À>PRMLMLG ÄAM7M Àh]MATp-MÀQGJÁ<ÀqMhÐ Ð|ÀÁM 7MLUURTVGGJMÀ GpPTVMdGpP ÀAÒÏhÀhMLGJÀ .¢¨Ó wÀAT £wjMsÁ]ÓUÑ MLTVÃ]GpP MLÄLªI NN ]<ÐÐ ]EÄLÄLTpÀ U~W 1N ]GpPRURMG®Á]>TpÁ UR¤ÀwTJÁ¤Ð I ÀAÒRdÏhÀhÁ<MLÐpG P;Á]Ã]MqGpPRMzdÀhÁ ÀAT jM¤M N <Ð EÄ PRMLÄOM.Á<ÐV GpPRMÀAÒÏhÀhMLGJÀ zÀAT jMÓ xsFxs5>F[]ZA55h`p_H[<^9} [jr698B7:<CjZA6CE8X?s69=C]8{5lC]=@mkh[<8R=O5>f~g5>8Rkh5w[]`¹¸C]_7=O5hm ÷ = M 7]TpÀQMhGJÐ|æ À¤M RÁ æ MLU]UGJÀâ TVGMÜUÀQÒ ÿ~T E }9´>M ÊÏQML} Ä EÄ¢¨Ó Á<ÐV®¢¨ÓUÁ]dGJÒ~£dÄOÀAwÁ<ÒRУ NQURPHÁ]Ò UGp7PÑtÁ]ÏQGMLMLÃ]ÄQÀML]ÄQÄ¤Ó IuMLNÃ]<MLÐÄL]1IÄQTVÀhUXGpMLPRW G MLÄAM GpPM N >EÁ UR¤G®Á]TJTVÐ UI ÀqÁHÁ<ÀAÐVÒR ÏhGpÀhPRMLMqG ÀAÒÏhÀhMLGJÀ 7ÀAT jzM ÀAT jM Ó TpG PRP MLÜÄAM N <]ÐÄ]ÄQÁ<À Ðp Ó Á]I{ÓÏQM¤Ñ]Á<TÐVw-MLÄOMLÀURÀAGÒRN Ïh<ÀhÐ ML]GJÄQÀ À zEÄqÀQT Ñ]EMdT Ó MLÄAMLPURÁ]GÃ]Ó M¤À®GpPR M¤ÀLÁ 7M.N <Ð ]Ä{¿¨GpPRMLÄAM =OCE6|=w;Þw5hC¤Z\k>=O5l[<5hC]^9ZAkQ[]:DF.Zl5q}Y?Axs[]F=OFRCE=O5z?6|\8~69^985g_.:<?AFR5>\kh5 5h?AZ[]Y;ZºZA[XCj[]?O[]?Q``C]CEClkQ\:]FRC][E5l69:<^|5.C]?A\R[zrs^95C5 k>=O=O[]5L69_7?^|[E[EZAY` =^9mt69=5h8^|?A5L5>FR?Q5lC]5>t8$\R^9?A5=O[&69_7gk>8R[]YR6n8?A^nm = <`ZAÕ [<_ Ú []ZA[]^9CjZOÓ mÿ~}|´lµ-¹?ACEF8CE?y 5h:D5hZOmo?OZA5>5HÕ ×1[]`=O69Ó é>95u}w^|¼wCEZA[lB]rz5hyZ{ZA?A5>FklCEC]^|8 ZA;5h5>=@^9¢¨?5hÓ ?Q`pC][<\^9 ^9[l5$rdg=w£ 8R696n_7?A=¤¢O_7¢ 85lÔ []Õ ?¤6|Cj69?A8R5>k>¢ ^n^9m{g;`ZA69[<8Rß_ B´lC]£OÚ £8X[Em¡ZA[<£[]^9`F|CECE?AZO=wFRmt5Cjÿ~?w8R}|´h^9[~5lÊ;CE} 5>=@=.? 698 ¢¨¡Ó }¡xswF5£ Y?A;FZA[X5°[]69?Q8R`CEC]B<?A^9F=snmXCj[Ey?l` yZA5>`V÷ [Ekl=CEZ.kQ^9FR5h:D69?A^|5h;FRZOZACEm¡5>? 8{8RrCj[~5HZA5z5 CEC]=O=O^9gR698_769=@5l?A?AoF698R5 CEkh?7?l}?A®F?s5$69=\?A5hFB<¡5h698RZA5hk>8`V^|6|C][E8ZAgRB¡5d=O5[E^95h`w[E`p?` ?AF?A~[5 y kh[][<g8R?AY=O6|g;?5hZvz?AxsFR5sv.k>} C]Ì =O5s=[E69`R8ZA?A5>FY55lCjY?AZA5l[Xq[]?Q`CE[]B<`=>}xseFR5h5h? []ZA5>\_!5ÿ;C} f~µ7gr5hZO5.mqk>C][]8R8Rq=@?OÔ¤ZAgC]kh8 ? `?QZACE[<B<_ = HÕ CufXgR5LZO&m []&`\~kLmF6|ZA^ ~5>YZA5>^CE8#k>69[]8R`BuCu6988R[~?A;FR5{5 ^|CE\5>^95l -\Xmk>^|C]Ñ]gRTpÀQ=OGJ5$TpUC]Nh^9G ?QZA5hCEYRB<=^|C]k>69Õ 8Bo?AF5H} ZA4-5>B<5 g^|C]CE^9ZH=O[u5Lk>Y;[]ZA8R5>=@=O?O=OZA69g[<kh8 ?z`pZA#[]_a\Xm Ô-C{8RÕ ¢5hr <£ vzxsv ¬Õ Ô-\Xm¬ r?A[&F5h=O5>ZA55.?A#FCj6|=? ?A{FR57?m;_Y5>CEkLYRFY5>6|kQ8;B =r¢ 69?AF£ ZA5>=OY5>@yskh?z´ ?A[&Ô¡6nÍ Ó}H?m;Y?q5>69kQ=qFR5l5>C]kQ=@~m = rkh[<6n8R?AFqkh^|ZAgR5>=O5>Y=5>kh?A?F5z?A[ YÔ$ZA[X¢V[]?A`F5[]`698RxsYFRg5h?[]vzZA5>xs_Üvÿ~ZA} õX5>_} C]698=gR8RkQFCE8RB]5l£L}xsFR69= è Ådä e&xsf~Fà g5>[]5hZAZA5h695>ä$_7=[<=ur8H6nÿ;?A?A}9F F´o5ZACE5>k>=O8[<Y_75>khÿ;Y?}^|µ5L?A[zY;6ngR?ZAm&8[E[]:~[EZQ6|`;?5-5hm;ZAY5lC]¤5>8kL[]FgRg5>Y?AkQYY;g5h698Zu?B vz\8R[<xs[]gvd88¨=>ZAy<5>[]k>[]Zg;` ZA8R=Oã[<6|æ :<8;5ç ZAY5hgk>?gvzZA=Oxs69:Dvd5=>Åd}e{wfX[lgRrs5h5>ZA:<695>5h=ZlyDr6n?6n?AZAFR5>[]_gC]?69?Q8C]=Bw[]:<YCj5>ZA8 6CEr\R^9FR5>5L=?ACEFR85hZ¤?A=@FR?Q69Cj=ZO¨k>`p[]ZA_75>5YR[]^95hg~?O 6n?m&xs69F=5h?AZA695B<FXCj?lZA}5=O6|B]8R6nk>C]8X?=OY5>k>6|C]^;klCE=O5>=6|8qrFR69kQF¤?AFR5k>[<_7Y^95h;69?m [E=O6|`s;?5hm;ZdY?A5>FRkQ5qFR5hklkLCE~=O695¤8RrB{FRkl5hC]8t8¡?A\F5 5¤\698ZA[]YRgRgB]?F~vz?zxs[lvdr=d8¡CEZA?A5.[u[Eà;`á>àj\â[]ãgRä8R}¤5l4-u5 ;5>k>Y[]?A8F 69g¢V=r=O5$CzF69ZA=OkL5>FRF¤=@C]?O6|^9ZA_769[lkhrY?A^9696|[<5hvz8{=xs?A[]Fvd`CjY=>?}¡ZQfXC]°RgRkL?A[E5h6|ZAZ.k>69C]5>5h^ =69CjCE8~ZA_7?A55LYRZAC]5>^9^95<=O=@[dy?ly~ZA[E=O5>`69^|8RCE\k>?A[]695gR[]_88C];C]^5l8Xm7CECE?Q5>YRCEY;\YR?AC]^9F6 =Okl£L5hCj}= ?Axs6|kl[]FRC]8R698 == 8Rk>C]CE8 ?Ag;=OZQFC][j^9nrm$?A\FR55ZA`V5>[<Y^9 ZA[l5>r=O5h698R8~B?A5>gR{=O\X698RmBvz?AFRxs5vdY=ZA[X[E[E``V;=5>[]Y` ?AxsF wF5>CE[]?ZA5h_7_7[]==@?ÿ~}9µ~´}C]4-8 5 ÿ~xs} µ~FR} 5dZA[X[]?FRC]=5>Y;?AF&é>5LZA[} ö 8ë ì F xw b ^U% w w o 0ä(\ JÝ ?3Ý Â o &ä!\ <% j ?>%j ~} 9\?L%j ~} ;Ý 9ËÝ]¯ä Ew {% % v o é2ê +j% % ?w &{ä(\ H; ? >? k %j ¶% % %j Æj xw <\ {% % {t? {% ;% j 9¼%j ?%$b7<? X ?w %j ~} y 8ë z{z 8ë{| ]U% w 0ä(\ k X w ]oy &ä(\ 0j% E? %Yj ?w m%j } mÝ 3 ? Ý Â o2 0ä!\ {% % Y% j j xw -%j %j,» ? %j ~} ^ T m\ {% % { ? ¶% 93? %Yj ~} -Ý 9ËÝ8]cäÉ Xj% I & 9 %j } xw {% % w 2 {% % j% 2 BB~B `0F ]ÊÝ °)ÝÚF o &ä(\ {Ý 4. t 8o 0ä(\ m# 3CE) E¡CC¢)E¡ © 3xE) E¡Gx¢)E¡ Ë Kòó . R 'ó q+¬ . d ]Êd M ¹° © MORE ON COMPLEXITY í &ì y° ° A° Ò©° BBB )ª B BB ª ° zä»] ö t M M M ` ö Ø 'Ø {Ý #¬SÝ D D }. Ý $\ »© B'BB ª NQuPRMOÑXNQæSEMKRTVUXGpæPWdU ]]â UΨÄAMONhÊÁEÒ~U}9ÄQ´]ÑÀQ} TpÃ]Ò~M UMLG]Ä@aÑXMLhÄAÁ]ÒRMOUMLÑ ÑÄLT®]MLÒ~À GnK1Ò~TVGpG P³ÝÄOMLÏLÀ®MKdMOÀ$NhXGTpMOG À$ÑTVTVU#U]¿®KTàÒ~ á>G àjâILãKäMhzÎ À ÁD¿¨TVÏ>nÂÐ|MLdÀ ÀdILKTVTVÀMOGpP.NQTVPRU{ÄAMOMLNQàÀ¨SEKáhTVMOàEUXNhâW¤GãRUG ä ]URTVU]ήÄOKMAÒ~NhGÒ~ÄQÀATVÃ]dM À ÑXhÒMKMLÄQGpPT®MLÀ TVGpP Á]EUÒ;ÑGG®ÀAÁlG®WqÁ]ÄLÃEÎ LÁ]ÄAÄQMATJM Î Y698R[<Y^nm;g8R?æ¹[]69_7=æ 6|6|8RC]w^sxs5>695>8F&57?AC.FR=O695k>é>[]57[]gRgR[]8XYR`s?Ag;5h?A?lZAF5hy57\RCE=Og;__7?¤C]YR?A^9^95h5w5>=@=@?AZA?q6|5l8fXk>BHgR[<6ngrZA8X5>FR=?A5h5h?Aà;ZAF5há>5hàjZ7âC]_7ãCHäYk>} ^|C]5¤869;=q6|R8CE[l?Ar 5 69=?AÞw6|B]8RFXkh?l5}CEBDCE[l6|rs85>y<:D6n?5LZlZA5>y_r5zC]69kl8C]=8H[<Y=OF5h8d[lrrFR?AF5h?A5wF`V5h[]Z^9|?A[lFr5698RCE\B[j^9:D[l5rskh5h[<Z_7\YR[<g^95h8;;6n?=>m } ]Á]Ò~UGdÑG®Ò~Álä;U Wtæ EÄOÃEÑXÁ]ä MLÄLåÄOTJÁDMAÑÏ>ÊÐ|ML}]µ~À Ò~} GnKÒ~TpILG G PKMOÄONQMLPRÀ®MOdKNQMOSEÀdNhTVGzUXTVÀ WzG tU ]TVU<UKΨÄAÒ~MOG NhÒ~ÄLÀATVÃ]M $ÑDhMKÒGpMLP ÄQT®MLÀ µ TVGpP;Î ¿¨TnÂHãÃEÁ<æÐ çÒRè MLàÀ ÎVPÁ]Ä@Ñ ]Ä hÒRMLÄLT®MLÀ TVGpP ]Ò~GN EUÑ]TVGJT ]URÀ ]UtÑDÁ]G®Á ¿¨TVn ¹à ÎJP;Á]ÄOÑ ]Ä hÒMLÄQT®MLÀ TVGpP7M hÒÁ<Ð TVGJT®MLÀ ]U$ÑDÁ]G®ÁzÃEÁ<Ð ÒRMLÀ ¿¨TV Tn ]U¡Ö ÎJÑDP;Á]Á]G®ÄOÁ7Ñ ÃE]Á<ÄÐ ÒRMLÀ hÒRMLÄLT®MLÀ TVGpPM hÒRÁ]Ð TVGJT®MLÀÁ]UÑqTVUM hÒÁ<Ð TpGJT®MLÀ ^`V|C][E=zZA_.?A[$gæ¹^?ACæ FgR5¤=Ow69?8°mB[]YZs5h:]kLCE¢JF6ZA£L6|5>ylC]kLr\~^95695>8R=ZAB{5l;YÕ gRZAk>[]5\R:]^95>C]_H^96|}.6n} ?e¹mwÚ 5h[][<? `;8RY=O6|ZA;\[]5h5 YZ[<C$?A=OFR6nY?A569ZA[<6|[]88RYYRC][<g;^X=O`V?6n[E?Avz69ZA[<_.xs8RgC]v ^ $Õ xsFR5fXg5hZOm 6|=¢ ZA5hYZA5>=O5>8X?A5lqE£ 69!8.°´ 69B<g;ZA5ÿ;}¯C]=O69klC]^9nmXy 5l¦CE[]kL8RF#5>§u85>698=@?A5l?AFR#5 fX69gR8R5hYZOgm ?l}u¢¨xsZA5hF?Ag57ZAY8Cj= ?O?A5hZA8-6nÍ 698¡?AF5 FCE= CHukQFRk>69^|^|C]gR^|=OC]57\5>[E^9` 5l 695>=z_7[<Y;8?^9mXmt} £»g=Oxs5luFR5H?A[&e5>8`p=O[]gZAZA_.5¤g?A^|FRCuCE?d`p[]?AZ F?A5.F=O5$5h?[]g[E?A`sY\g6|?¤8Rvz698RxsB]v«=d[]69=¤` [<\6|?Q=zCE8698R[<5l8; `p5lZACE[]kL_ F8R·5>B<\XCEm?A69:DZA5 5>Y^96n^?ACE5hk>ZQ69CE8R^ Bo5lCEkLFß\Xm Y[<=O6n?A69:Dy5´ ^96 ?A5LZQC]^ q} \~Ú m ^95lCEZA^nmXÕ y ÝCE869 = :]C]^9xs6|&FR576nÍ Y;¤ZA[X?[]m;`Y[]5>`kQFR¢J5h69kL£z~=6|=qrz\X} mZl} ?l=O}6|_¤Ô ÕgR^nC]?Q8C]8{5>Ô [<Ö g} =zZA5lgkh?A69[<8#[]`Y;ZA[<Y[E =O69=6n?A~69[<8R8[lCEr^8$:]C]?A^9[¤6|\6n?5dmè C]à~8®k>t[]_7k>[]YR8]^9ö@5hg?A8R5<kh}?Axs69:DFR5.5zfXfXgRgR5h5LZOZOmumkhk>[<[<8X8?Q=OC]6|69=@8R?A=_7[E5h`8~?l?AFRy 5wrk>F[<6|kQ8;F kl698RCjB?A5>8?A[-Cj?AY6|[]ZA8H[]Y[][<`=O?6n?Ars69[<[¤8R69C]8^w:]5hYC]^95>6|8;6n?5>m8X?CE8=OgR#\;?AfXFRg5H5h[EZA69?A5>FR=>5hy~Z7[<8?A[¡5dk>k>[][<ZO8EZAö@5hg=O8RYkh[<?A869:D~5 =O[<fX6n8gR?A695.5h[<ZO8;m$CE5>k>=O^[]kh:<ZA8~CE69?Q\^9CE65l;69t8R6n?_7m6985>8X¢¨¢JCE?l68£L}}xs46nFR?A55q=.=O\k>g[EZA\ ZO695hZAf~©R5>g=OmH5hYZO[<m$8R5>=Ok>kL[]69ZA8RZO6|ZAB-\5>5q=OY?Ae[]FR85q`p;[]=OZA6|gR8_¤\ B7gRfX?A^|gRCD[{5L£ZOY;m&6|ZA=q[<k>Y?A[EFR[EZO5 ZAk>5>[]=O8]Yö@g[]88Rkh?A69869:DBd5$?AfX[dgRk>5h[<ZA8E695>ö@g= 8R<khÕj?A¢ 69 :D5£ fXlgRÖ<¢5h;ZOmq£qk>[j[]:D8X5hZ¤?QC]ZA698R5>^|_7CE?A5>698X[<?l8 } 1Ú [<[E8R`d=O6|Cj;ZA5h6nZ?mo?rsÓ[ } 4[]ZQ;5$5h\RZA5lg6|^ ovzxsC]8v69Ô 8RÖ YCEg=?7`V[]vz^|9xs[lrv1=>}Ô<xsÕlysFRÅd5vzeºxsfXvÝg5hÔZOmÕ 69=~ysCE8o[<g?AYg?.gR8 ¢@´ oÓR£L}xsF5fXgR5hZOm ~÷ = k>^|C]gR=O569=>i y Që 1zz 8ë{| ¢ %j o $ n-oQn % y¨ y ¡ 6k Ä*¨ « * v% &% s% n-oQn &% Ä*¨Ë« $ )% v% Qn-oQn +%j z% î"ë 8g&ï éyê 8ë )ì &% :% $¥ % î"ë v% ¾ ®n-oQn Xj% Ä*¨s« ¶ £ -o - z% so hn-oQn & j 6Ä*¨!« ynmoQnÑ%j y )% ¤*j% <Ĩ¬« " « ®j% Ä*¨Ë« + « ¶% @ % 6% $% ¶ {« 8g&ï ;ò r¥ BBB ¥ ` ÎxÎ 2@¦9 BBB 9`8F9 d @ OG§ ' Î EÎ N ? M lF ÎEN 2@Ãl B ° (° d :9 d 9 d Gx Éò ôÆ¥ d ° 9 d t ð root Æò o J° 2C) E¡GC¢E¡ WHERE +° ° 9 d t <¥&d § M N ;° ?¥ © ?° ?¦ © BBB N F¶§G' Î @ Ë° Æ ÎxÎ ®@¨o DoÒ@ CONSTRUCT answer Q1(x) pattern corresponding to q1(x) r<ÕjC>¢xsm#FR?A5[ Y£ <Cj?OÕj?A¢ 5hZA£L8z}Ý¢ .698z°R¢ [E?AZFR5 X5h£C]_7.YR¢ ^95<k>^|yC]?AgF£O=O£5&569k>Y=>[Ei CjZO?OZA?A5>5h=OZAY8[<8Rk>[]ZO=ZA695>8z=OY?AFR[]58;8R6|CE8?AB¡gZQ?ACE[ ^ h¸Õ 5>klCEè^9à{?AC]FR8RCE ? Ö à#YãZA[]æ Yç@5hè ZOà ?A69} 5>=7CEZA5&[]`w?AF5$`p[]ZA_ Õ Ö rFR5hZA5 Q2(x) f GC (° ?¥ © ° ¥¥ ®]Q©)§ Zo ¥Y§ ø o O§)¥ ¤ a £ 3f a f ø f WHERE CONSTRUCT root answer q1 Xi root Xi X1+...+Xn X qi’s CONSTRUCT qi’s WHERE ... one(Z) Y qn one ýû òjë ë ¹ë;ò ®ñò jò ñ ñ lýpîlýpñüíì íRìVý ïýî m;698R8695>B;^|k>} []=8]ö@C.g`J8RC]kh6n?AZA69^n[]mH8Ý?A69rB<FX6n?A?FÝ\?A[<Fg5&8YCEZAZO5hm$:;69[][]`gR=75h;k>5>6|Rk>6|C]R\CE69\R^|6n?69^m&69?mo`V[EZZA5>?=Om;gRY^n?A5>=>kLyF5>?AkQF~69= YR5>:Dg;5hxs?8{FRvz5gxs8Rvd;ZA5h=@=?ZsfX=@ZA?OgR5>ZA=O6969kQgR8R~^nB]?^9mt5>=O8XF^9?5l[jC]C]r=O==O=g?A?A_7FR[&CEY?g?A869C][<^98[l5h=>rk>}6|6|R48C]B7\569=O^|klY6nC]?5>m¡^9k>6|C.[EC]`s^9Åd6 él?m;eCj?AY6|fX5>[]gRkQ8tFR5hZO5h6|mH8$kL~[<N 69]8Rg;UB;?OÎy h=OÒ~698RUB]Nh^|GJ5TpÃ]=@M7m;_.6n`z\5h[]:D^ 5h6|ZO8 moY} Cj?AF5h;Y;ZA5>=O=O69[<8698Ý?AF5 k>^|C]g=O5u6|={C CEq8Rµxs=@rF~r5hgFZ=>69y?AkL[FÝ k>´tÕ [<[]^9[X8 5>k>khk>¤?Ag;={}ZA=&xs\R6969FR885;f~?A698RFRgB<55h=ZOmC]k>8[Eq=@ZOrsµZA5>5h69=OZ&=YC[<[<8R88Rk>5>5=@698R?A5l`pB¡[]¤Z&?AfX[ 5lgRC]5hjkQZOÖ<Fmd¢ ;r£L6nys?A69Fqr8FZA[X?A5hF[]ZA55? GJTVÃ]M ä;æ hÒRä MLÄQT®MLõ~À }9´<} TVGpP IL]KÒ~MOGNQG®PRÁlMOWNQSEÃETVÁ]UXÄLWTJÁDTVÏ>ÀqÐ|MLÒ;ÀUÁ]ÑXUMOÑNhT¨ÑDÁDTVGpÏ>P Ð|M]Ò~G]ÄTVUN M ]hUÒhÁ<Ò~Ð TpUGJN>I Î C]xsRF~;g69=>?Ay69[]<8ÕwC]Ø^9nm jÖz69C]Í8R?AFR&5qFCE8RCl:D=@rs5z5L?AZwF5q?A[ =ACEq_7µ.5q69=C]=O8=O[<[X8k>®6|CE5>?A_75>-Y;?m7RCj`p?Q[]C Zd:<5>CEC]^9kQgRF 5>=>} Ò~U ]dÄ@ÑXÀ MLÄAMOTVÑuGpP$TVU<À¨KRKÒ;MANhG TJÁ<Ð T lÁ]zGJÀT ]U 7ÑXMKGpP ¾µ ÁEUÑ&Ò~U ]Ä@ÑXMLÄAMOÑ ]Ò~GnKÒ~G 698u?AFR5¤C]8=@rs5hZwÕ ?A[ Õ }zÕ xsFR5qgRÖ 8Õ []} ZQ;5hZA5lu[<g;?AYRg?vzxsv 69=d=O69_7YR^nm ökhgR[<8_7xskhFYR?A5 69^9:D5h5d?AY57ZAfX[XÆgRµ][E5Lõj`ZAȨ6|[]}s5h`d=xs¢JrF6|95w6n6?A£wF$ZA695l=69;8RgR\~5>khm&f~?AgR69ZA[<C]5l8&^96n?Ag6|69=kh5>?A=>=O69y~69[<_7r8-69FR^|[ECE69`kLZF{k>?A[][.69=s8~?A?Q~FCE8RCj698R[l?r_7[]8`5>8X?A¢J?d69[¤£L[E\} `5 k>[]8Ö ^9C-5>_É=O5h?{`V[Eæ¹[EZ æ `°°wvwvdxs=¤={FCE5C]88R-YÝZA69[X869[]8Rk>`^9k>gR69^9=¹g=O\X69=O[<6|m[]8#ZA8ß5l;5>gY5>khY5>?A8R5h69[<88z5>85h[Ek>8R`;69k>5>?A69F=5>5=7Æ µE6|[j_7³;:DyY5hõlZ^96|È®k>}&=OCE[]?Ae¹_769[<5L5t8? YÓ~ÛZACj[]\ZO\m 5 °\[]gR[]8RZzy;=@?Q5>Cj:DZO5>®8{`ZA5>r5.6n?A[]FRg[<?Ag;Y?g?k>[<vz8Rxs6nvd?A69=>[<y 8Rrs=5¤[<8&klC]R8tCj?Q=OC.FR[l:<r·CE^9gRC{5>=>à;i á>àEâãäH^9[jr5hZ ZAvz698R5>xsBd^|CEvÉ?A?A69F[]5Ô8 ÕZAy5h¤=@C#?OyZAC]6|ÅdkL8R?Ae»6|[]8RfXg=5hCE6|8¤ZO8m ?A°FR;5v1y=@CE?Q[j8CE:DÝ?A5h5>Z _7C]8q5h8~}#[]?Lg£4?A=OYRg5&g;kL?F kh[<vz?A8RFR=@xsCE?O?vÉZAgwkhÔ ??ÖmCEY¢J85h=AkLCj69F?A8695>=@YRkL`pg~m~?= TVTVGpGpPP{R]ÄOæÒ~MLGàÀ¨KæN MA]á NhUGÑ]GpTpæ.GJT èª]TVU<URKRÊÀ Ò;} ÿ~EG }URÑDILÁEKG®Á{MONQPRÃEdÁ<MOÑDNQÐ ÒRSEMKMLTVUXÀGpPWzÁ]UU]Ñ Uµ$ΨÁ]ÄATVMOUGpNhP Ñ.Ò~EÄQÒ;ÀAÀQG®GTpÁ]Ã]G®ÄLMÁlÎ QW{ÄAMAÃEM Á]ÄQh]T¨ÒRÒ~ÁDMLGnÏ>KÄLÐ|T®Ò~MLMLÀG À r8X6n?A?AgF#69?AZA695>:D=O5hY^9mX5>y kh? ?A5>[t8Ôk>[~Õ C]5>8R=d#´ C&Ô Õ ÓXÖ Cj6nÍZOmHZA5>^|CEÓ ?A69[]¹Õ 8¹}}.xsxsFRFR5{5 6|8fXgYR>5h´g;ZO?.m vz7xs69=dv11?AFR69Ó=>5 }i k>¢J69[]8t8Rklk>Cj[<?A8E5>ö@8gRCj8?Akh6|?A[]698.[<8u[E`Rr=O5>6n?A:<F5hZQ?AC]F^X5YR[<CEZOg?A?A=>YyEg5l?C]kQvzFqxs[]v`;r£FRr69kLFRFq5h?A69F=5hgRZw=O5>?AzF5.?A[;:D5>5hYZA5>6n8`m zÀ ¿¨Ò~ÀATVU~W ÀhMLURGMLUNLMLÀ®ÂTVÀà;á>àjâãä ÎJP;Á]ÄOÑ =O5h698R8k>B 695>C]=z8{698 5haC]_7CEY8^95`V[EZCE5lZA5 C]kQ=AF&Cj?A~6|69=@8R5l-[]`\Xm 5>Y¤5h}¤845h8R5¤kh6|mX^9 } gRÚ=@?O[<ZQ8RCj?A=O5 6|;?A5hFRZ5>C]=O8 5 Ì R æ æ 4 7 5 g O = $ 5 { C A Z l 5 g h k A ? 9 6 < [ 8 ` A Z < [ a _ A ? R F { 5 w Å R g ] C X 8 A ? n 6 l 5 j ÿ x R g Y;ZA[<\^|5h_Hy~8[jr8$?A[ \5zà;á>àEâãä~®k>[]_7YR^95h?A5 Æn´>ÿEȨ} 69698R8Rk>B^9gY=O[]6|ZO[]?A8#69[]875h[]Y` 5>?A8FR;55>8RfXkhgRmX5hy ZOm¤=AC>69m=69.^ 9gRÆn´j=@µl?OZQÈCjØ ?A5l7.6|Æ 8µEÿE°È¨}769B]xsgZAF55 Êk>}[]¼wZOZA[E5h?A=O5Y[<?A8F~CE? ;5>~k>6|[¡RCE`V\RCEZl^957ysrgR8R5HF5hZdCl:D:<5$CjZA=O6|FR[][lgRr=d8ZA5>?A=@FR?OZACE69?7kh?A?69[]m8RY=5hkL[<F85>kL?A~FR69578RB¡fXgRÅd5LeºZOmuf~^|gC]8R5hZAB]69g5>= CEB<695= ZAkQ.5>FRÆn=O69´jY^|.µl[]È8^|C]Ø \69.85>^9B{5lÆ µ] YÿjÈ [EwZO6|Ö=?A69[<=A}Cj8¼w?A69[][l=@`r5l?Ak>FR[<5¤6n8ÍufX=O6|gR5>:D5h5hZO5hZm&ZOmC]6|8 =°ZAÕ5>Öv.Y8ZAy<5h[~=A=OC>5>m{5w8X?A´ FR5lC]ùu=6|Cj8tµX?}°^9xs5l69C]B]FR=@g5?sZAk>57[<[E8RZOõX5 } CEfX8g-69ZA5H[]gU ?A]YUgΨ?ÄAMOvzNhÒ~xsÄQÀQv.TpÃ]}M 8¡ÅdYeCEfXZO?AgR695Lk>ZAg6|^|5hCE=>ZlyyC]C]8R^9¡[<5>g;k>?A6|YRC]g;\R?69^vz6n?xsmvdZA5>= =OgR^nTV?AGp=P ]ZAÒ~5hG ¼w[<8[E5?A5kLF?AFR6|^ CEH?s^|?AC]F\5w5h^|°5>ÝvºM 6|h=} =ACjÚ ?A^9695l=@CjZA5l^nmXy 6nÍt[<8R5>5:Dkl5hZOCEm 8uK;=@ÁE?QCETVÄ?A58R[~gR=O6958FBCEC==OCEY?5h^9k>5l6|CEC]=@^n? C?AjÀ¨KFZA5.MO5dNh^|`VT¨CE[]Á<ZA^|Ð 9TB][lj5>rÁE^nmGJ69T 8R]8RB;UR5>i }k>5h8q=O=A?ACEFZOmu69=`V=O[E5>Zkh?A69[<5h8¤k>6|rsRC]5\=O69F^|6n[l?rmX}q?A;FRYCE?5>kh?A69FR5>kl=OC]5^9nZAmX5hy=@rs?OZA5¤6|kL?A=OFR6|[][l8Rr = 69:~é>695l[<-^|CE?Ag5l8R [Ey;ZQ[]Z 5hZA{5l6|=vz=ACExs?A69v=@?A5lF Cj}?xs5>F~6n?AgRFR=>5hy Zqd=O?[]m;_7Y5>5kQFR5h5>kLY~5>=8R69Í 5>8khmt698 ¹}a69= ´]}C]^95hk>[l6|rR69C]8R\B69^|6nÀ¨?KmHMANh[]TJ`Á<?Ð TmlYÁ]5hGJTkL]FUo5>kL69~8698R[]B¤g5>?A:DY5>g8$?7`Vvz[]ZwxsFRvw69B<={F^9^n5lm$C]ZA5>==@?O?AZA[69khgR?A5>8; =OgR6nÍ \;;5h?A69_7ZA^95q5h698~^|?OCE?&ZQZ{C]k>[<gR5h_¤8R®[]\RÍ 5>69kh=>86}dCj?A°RC]69[<\[]8RZw6|^9=$6n5h?mo[]C]`ZA_75>`V5>=OYCEg^|5]?A^n?Agy={ZA[<5h8k>=>C]5.yd8_7r\FR69B<5H69FXkQF=O?Frs[lFr[<69B<8R8FR^95h6`VB<[EZwFXZ&6n?$`=O^98ZQ6 CEB<5>?A=@FXFR?A?A5l5L^nm Z ^9:]fX6 C]gR_7^95hgR69ZA?A5>695>5>=>u=wy¤C]?A8R[{8R[Ýt=O69?Q8RvdC]B]Bxs^|5.vd:]=@CE= mZA6|_¤¢®C]Åd\\e#^|[<5h^9=>fX=>y y gR5h8RgRZA[{8695>[]69=ZQ8R;5lr5hfX69ZAgR?A5lFtC]»^96nYR?69CEmH8R?AYFt?Ag5>?=@5h?A;=wvzY[<ZAxs5>8¡=Ovd=OR=t69[]CE8R?Q[EC=` =OfXC]gRB<gR^nC]5h?w69ZA8R69=O5>=@FR=&?s[lrCE69ZA=w=V5¡ö@?AgF5>8R=OCjkh=O?w?A5>698X?A[]F?A8R6|5h=C]mu^d698 Cj?AZA[oYR5.CEgR?A8RF78R[E?l5hi5>;k>Y;8R6|ZA5>5>C]=@=O?A\R=O5>6969^[<6n?8RfXmX=g}ªC]5h8RZAxs69.5>FR=d?Q5tC]klBzCE`V[]8:]^|9CE\[lZAr56|C]69?O\8RZQ^9BC<5>;=ZA5l695L8 5hY?AF$?rs[;yCE8$g8R[EZQ5hZA5l{[<g;?AYRg?vdxsvd=Q£ A ? R F 5 H > k | ^ ] C g O = < 5 } 4 5 l k ] C 9 ^ { C d Å e ; Y A Z < [ ] B Q Z E C _ ] Ñ p T À L ; Ò U h N J G V T ] à M n 6 ` A ? R F ¤ 5 Y j C A ? ¡ F h 5 ; ; Y A Z > 5 O = O = 9 6 < [ R 8 z = 9 6 t 8 A ? R F 5 H h k ^ E C R g O = 7 5 j C A Z 5 ] [ ` A ? R F q 5 V ` ] [ A Z _ µX}ö@8Rg5h8R=@?Akh5l?A&69[]8-fXgR695L8-ZA6|YR5h=CE?AklFC]8$5h;\Y5wZA5>?O=OZQ=OC<69;[<5l8$=69¢J8$5h;?AYFZA5z5>=OC]=O\69[<[j8:D=5d[]C]`BDCE?A69F8R5.=@?`V[EZA69_ =@ []Z rFR5hZA5 zCjZA5z=O698RB<^95=@m;_.\[]^|=>} []Z ]y;`V[EZ £C]8R{?QCEB :<CjZA6|C]\R^95>= C]8R ÿ~}gRC]^98R[lr5>kh698R6B¤C]ÄO\MO6|Nh^96nÒ;?mÄQÀATV[EÃ]` MK;?m;Á]YGpP 5>kQM FRLK5>kQÄA~MLÀA698RÀATB]U5>À:D695>8q8Åd`V[]eZfXgR:D5L5hZOZAmß695>==Om;6|_76|5hY^;^95= GJTVÃ]TVGpM P ]æ¹Ò~Gà;æU háMLÒRÀAMLGÄQMOT®Ñæ¹MLèÀ hÒRõ~MLTVÄL} µ~GpT®P#ML} À G®RÁ>IQÒ~WKU MOÃEENQÁ]ÄOPRÑXÄQMOT¨MLNQÁDÄOSEÏ>MATVÑ Ð|U~MLÀWdTVU]TVKÀÒ~Ò~TVG GpUP ÑD]MAÒ~NhGdzTJÑDTpÀ ÁDU Ï>M Ð|hM ÒÑXÁ<]MÐ KÄTVGJGpIÑ]P TVÀ hÁ]Ò~UµUÑ N>Î [<g;?AYRg;?vzxsvd=r6n?AFR[<g;?=OY5>k>6|C]^96 élCj?A6|[]8¹} Á]UÑÒ~U EÄOÑXMLÄOMAÑ ]Ò~GnKÒ~G dÀ TVGpP$À®KMONhT¨Á]Ð T lÁ]GJT ]U þ & Z (ã 4 5 a Q ,ª 7 & 7 5 root R R Y1 Y2 1 2 1 2 X Z Z’ X’ Z = Z’ 6£ 2° £ o b¥ © ° &° J £ s¦ © éyê 8ë )ì Ĩޫ &% n-oQn 6 ¬° ?¦ © -£ J° ð NQP \2'6@ã u Å£ ®@ã u ¥ © b¥ © î"ë A$¥ -o + )% "nmoQn ;%j ~} O% {% nmoQn ~& v% O% % :U V î"ë -o z% ÆnmoQn%j J <Ä*¨!« )% j À t o ;% ¬= Qg&ï o z% } m O% Ò=¼Ý ]ÑÀ ø B'BB ø t F « y@ Ë= =>Ý ]ÅÀ ° O% ?F X8Ë l ' M ° M @ 3o §o §o | )% *° %o TÀ +À ~} o x o s° ÎxÎ -@«o:¬ ð Fo»@ UNDECIDABILITY RESULTS {% J {« !% Xj% )% &% = o 5. 8g&ï o î"ë % {% :Gx X0 a F k O% C) E¡GC¢E¡ X>Þ <& î"ë & !Ĩñ« m )% -« &% :% J GC -o { &% ®n-oQn 6 {6 )% « Æn-oQn y%j ~} O% &j% ½ E =J WHERE CONSTRUCT root answer R Z WHERE for Q23 root R Z R12(X1,X2) 1 X1 2 X2 CONSTRUCT for Q23 2 Y2 Q23(X1,X2) R23(X1,X2) 3 Y3 witness(X1,X2,Y2,Y3) Y2=X1 Y3=X2 ýpû òjë ë~ò ñò$ýVü <ì lýpñüï¹ë ë;üïë;ü þ & %4r; WHERE CONSTRUCT root answer R R Z1 Z2 1 5 a 2 1 Q-eq (X1,Y1,X2,Y2) ýpû òjë ë~ò ®ñò ?A69[]8HRYæZAæ[]\R^95>_ªxsFR`p5[]ZYZA`Vg[X8R[]`Rkh?A69=69[<C]8RB<C]C]^698.C]8R\X$mw69ZA8R5>kh^|gRgkL=O69?A[<6|[]8u8z;`p5>ZA[<Y_º5>8?A;FR5>58Rkh6|_76|5h=>Y} ^96|k>CE =O69_769:DÌ _75^9Åd5l;?AeFR6|CEfX5?AgR5>;^n5h5>mZAk>69kl6|5>RC]=>gCE}¹\R=O45>69^=695?gm.8R85hZA~5>5h?¹=Ok>g=O6|FR^nR?A[lC]=r-\[E69`^|?A6nFR?~mdCE5>?¹kh[]?AZA`~695>[<?_7m8Y[jÿz5h:;kLCE69F8=O5>=OBsgRkL?A~_7FR698R695=¹B;8RZAyl5>[]5>=@8:D?O¨5hZAZA8w69kh5>?Ak>r69g;[]6nZO?A8 F :<5hZOm{=O6|_7Y^95d[<g;?AYRg?vdxsvd=>} ÁENQPXUTJÑuÐ9Ñ] Á]ÄAäMLUUtæI Ò~]ä UÒ~ùÑDGnKMLÒ~ÄqõXG } Gpÿ~P} MRÄ IQKEGMAGpP;NQPÁ]MAGNQÄOSEM TphU~Ò;WdTpÄATVÀMLÀ7Ò~UÁ&ÑXU MONh]T¨U ÑDM Á<Ï>Ð|KM GJIH]Ä ÀhM hÒRMLhUÒRNQMLM ÄQT®MLÀ ¢Y¨¥ gÚ?¥Rvzæ£xsæ ?Av'[ ?ZAm;5l4fXYgR5d5>kQ6nZAZAFR5l698R5h;kLBgR~k>69C78R5B.8R?A[]FRC8R5z5>Åd¥_7e#[]Y;=@f~?? m{gÚ 5h=O[EZO5lmZOfXZAgRr5>5h=O6nY8R?AFHk>[<58RZA[]5>5>=O`8YkQk>5>FR5kh69?^|¥;?AZAZA[5>[]8t\RC]^98Hg5>_ 8[]g5L?OZ ?A?AFF5{5¥ZA[XÚ [E¥?l}#y¹reFR5h?5hZA5 Õ uC]8R ~Õ }$4-575>u8Rk>\[~5&;5{CE8C&69=O8[<=@^9g?QC]?A8R69[]kh8o5$?A[E[ ` ?A6n?FmX5.yXrs¥ 5Ú ZA¥ß5>YC]ZA=w5>=OC5h8~^96 ?8R?A5>FRCE5ZYCjCE?A?QF$C CE?OZA=5>Cz5{=@¢¨?OC{ZA69=O8R69B8RB]r^95.FR5hYZACj5?AF?A[q£L}5>C]°RkQ[EF$ZdY=O69[]_7=O69YR?A69^9[]6 kh8 69:]=7C]^9CEg=O5$=O[X¢Vk>?A6|FCE5.?A5lCE?QCuC=@:<m;CE_.^|g\5¤[<[E^`¢V?A?AFRF55¤^|8C][~\5>5j^£L[E}w`4?AFR55{r8RZA[~69?A5¤5l£q=OgRCEkQ8FoCCt=@?ORZACE698?QBC :]^9CEg;=C]?A^9]6|g[]Õl5>8u¢=&~?AÕL¢V[£r?AFF6|kQ5qF#Q¥ ¢ _Ú C>¥£m-y rCE\FR85{5h ZA[<5w_7?AF6n?O5 ?A5lR£LCj}ZA5z;=@gm;YR_.Y[]\=O[<5 ^9=CEÕ 8?AFR5 Õ6|=.CuRCE=O?Q[]C } =ZAOxsY5hF=O5hY5k>5>6n5>`pkhm78R?Ak>69F:D[~[j5>;r^n69mX8R}Bz°RÕ [][E`Z?A5lFC]5kQF=O69[<=^9lgY´ ?ACj69ZA[]=O8{5l769=C]Cd= =@y]?O?AZAFR698R5sB =@?OZA½ 69.8RBßy~CE r8k>FR[<5h8XZA?Q5 CE6|8C]=8R`V[] .gZ y kh[<8R}z=O5hxsk>gF?A5¤69:D=@5$?OZAY698[<B =O6nH?A69[<69=z8R= CE8qCE¢^|[]£ B<[]¢ gRX=d£ `V[EZ @yrFR5hZA5 .d} [XÌk>k>=dgCEZA= 8r5LR6n?ACEF_ 6|8 Y^95<yRkh[<8R=O6|;5hZ?AF5d698R=@?QCE8Rk>5z[E`?AFR5z¥ Ú ¥i ¹Õ Ö ;Õ <Ö X1=X2 é2ê î"ë '®t; -o $n-oQn %'% « z% 0j% yĨ!« ?w « J%Yj Qg&ï Ö ' BBB Ö0ª Þ ' BBB Cª -Ö&dxd a S&{[ + Ö d= BBB ¯ {¯ 2 d 2 d M B BB M Ö&d ÷ BBB Özd°Ì]KCd ÷ BB'B xd °¹]Å BBB ` <¥ ¦± +¥ ¦ BBB ` ®Ö&d ÷ BBB Ö&d=° xd ÷ BB'B Cd=° 2¥ M 8 M N -\ M P = M û)d 3d 3¦ < d ÷ BBB d ° Ö Ö Ö | ? ? | ?? eq (X1,Y1,X2,Y2) witness (X1,Y1,X2,Y2,Z) Z = Y1 = Y2 ü <îlýpñü¹íìïë ëüïë;ü C]8R$6n?A==O[<^9g;?A}¹6|[]xs8-FR´ 5Ok>ÿ []LZOµ ZAh5>´<=O}Y[]¼w8[E;?A6|5w8?ABF5hCj8R? k>[~;Õ 6|8B Ö69=¹?AÕ FR5=@~?OÕZA6|8B¤<Ö ¢V~ZA5>Õ C< ?A[<Y;[lr8HCE8&^95h`?O®?A[E¨ZA6|B]FX?L£Li qq¢@¢®µ<´j££ ¢@¢@´j´j£L£L´´ ¤¤¢@¢®µ]´l££ ¢@¢®µ<´j£L£@ÿ´ qq¢¨¢JÊXÿD££ ¢@¢®µ<´j£L£@ÿ´ ¤¤¢¨¢JÊDÿ<££ ¢®¢®µ<µ<£@£@ÿÿ qq¢®¢¨ËDõ<££ ¢®¢¨ÿDµ<£@£Oÿµ ¤¤¢®¢¨Ë<õ]££ ¢®¢®µ<µ<£@£@ÿÿ qq¢®¢¨¶D²<££ ¢¨¢¨ÿDÿD£O£Oµµ ¤¤¢®¢¨¶<²]££ ¢¨¢¨ÿDÿD£O£Oµµ qq¢¨¢@±D´l³D£ £ ¢JÊX¢JÊD£L´£L´ ¤¤¢¨¢@±<´>³D£ £ ¢¨ÿD¢¨ÿD£Oµ £Oµ q¢@´<´j£ ¢JÊD£L´ ¤¢@´]´j£ ¢JÊX£L´ xsFR5z698YRg?vdxsv»½ rs5zg=O5z6|=?AF5w`V[]^|9[lr698RB;i ¢@´ Ó£ ´ ½ oÓ xrsFRFR569kQF¡fXgkQ5hFRZO5hm kL~.=69=`p[]?AZ½ FCu5dk>Ãl[]T <8RÐ9klÁECj½GJ?AT ]5>8U{Cj[]?A`6|[]?A8uFR5q[]`k>=O[]5>ZO:<ZA5h5hkhZQ?zC]^`V[Ef~ZAg_«5hZA69`V5>[E=>Zdy?A5>FRC]5qkQFH5>8;[]` k>Cw[~:~;696|[<8^|BwCE?A[E69[]`8¹CyX=O=O[<[w^9g?A?AF695[<8¥ }Ú xs¥¡FR695h8R8 =@?QCE?8Rm;k>Y55>FRkQFRC]=5hkL8R~[==O6nÍ7[<^9g5h:D?A695h[<ZO8mz}698RvdY5hg?Q?¹CE6|m^9=695>CE^|;ZA5= [<_76n?O?A5l } ^9_6 B<C]xsFX<?&FR5{5[]g8_=O5&?AC]FR69[E85$`d`Vkh5l[<CECE8X?Q=OCt?O6|ZA\69:<69\R^|CE6ng?^|gm?A695>[]= []8`z698o[E?m`bzY?A5hcHFRkL5tFeß5>YkLZA~[X5>69=Okh8R5hgRB¡8~_7?$bz5>Y8XcHCE?Ae¾=>Y}#5hZHfXxsg69F5h={ZA5$69?A5>[ZA=75>=O=O?AgFF^n5lCE?A =? ?O698RZQC]B;kh}5H8{CuC¤`JC]8~6nZAg^n?Am#=OF?A5>69B<^9¨FXy~? ?AF\5h[]mgR=O8RFRR[lCErZOm?AF[]Cj`w?s?5>m;k>Y6|5>C]kQFR\R5h69^ kL6n~?m#698R[EB`69=?m;Y5>5>khkL6FC]5>\kQ~^|5 5 a aY ç Qg&ï 8ë ì % Q-eq’s CONSTRUCT root R W 1 Z 2 þ z Æç 5 7 Qeq’s WHERE pair(X1,Y1,X2,Y2) X1 Y1 X2 Y2 î"ë Æç Æ Æç 5 7 C ?? \ P \ P \ E E P \ P \ P \ P \ P \ P \ P \ \ P P ÎxÎ *@A\ M @A8Ë +@Lm \ ± J° $Ö {Ö | Ö Ö "]¯ { | "] P \ P \ P \ P \ P \ P \ O% ;° 6. CONCLUSIONS P \ P \ > M @L\ P \ x x x x x E E E P \ \¯@ O% \ ± P P P @ " 'B BB ¼@A\m ± ±Ì@Ãl `p=O[]69[]Z8Rbd=>ycHCE8e&Åd[]eg®?A^9Y6 Dg5q?f~vzgxs5hZAvd695>==wrr6n6n?A?AFRFR[][]gg??=OZAY5>5>k>khg6ZACE=O^96|69é>[]CE8¡?A6969[<8t8Y} CjÌ ?AF==O5L[X[<Y;8HZA5>C]=@= ZAg5h8k>;g5>ZAk>=O6|69R[<8CE\R[E^9Zs5<} =OY5>k>6|CE^|69élCj?A69[<8HCjZA5wC]R;5lyD?m;Y5>kLF5>kQ;698Bd\5>k>[]_75>= ?A=OFF5&[lxsrFfX8H5g5h`VZO[]5>m#Zk>6|69^|8RC]C]kh8\RZAB<695>^gC]6n?CE=Omd69B<8R5&ZAB]5h^9C]=Om&gR8^nK ?A=¹?AFFML695$B<Ä LFR[]Ò;^9g6Ð~B<?A[<FXYRg;?g;?A=O? YRgRg;vz\??Axs^9vd5vwxs?O=>ZQvdi&C<;=;5hZQ5>®C]k>[]8R6|Í RB]=CE69\8R\RB 5h69^ ?6nr`p?ZAm#5>[]5>_ 698= gÄOML8RÀA[EGJZQÄLT¨Nh5hGZAMO5lÑu:DCE5h8ZAz=O69[]=@?Q8RCE=7ZO¨[]`pZA`w5h?A5FR?A5H[ZAfX5>gB<5hgZO^m#CjZl^|y<C]kh8[<B<gRgYCE^9B<5l5<}r;6n?AFFq[j69r8R69kh8ZAB5lCE=O695h8Rk>B<6|;^nm [Ek>CEC]`d\R^69k>^ 6n_[]?gRm¡C]8XkQ6|?AFR=q5h69ZA8R;5h5h[<ZO8RCEmu57_7ZA69YR5>8#f~^95>gCE=¤^96nZA?A5lFRkl¡CECE=O?7\5>5>=q8kh5>[<\~5l_7m5>Y;?A=ZA[[EfX:~\gR695&6n8R?AB&5 kQFRC&698X5>kQ?O\DZA[<695lklg CE8}o?A57xs[<698FR8-5&?A?AFR?AF5 5h5 kLklF=OCE698Ré>=O6n55 [E_7`5hZA8~5>?B<g\R^|C]CE=OZ5lH[<g[]?A8HYg¸?C]vz_7xs=O5hvwm =÷ =CExs8&FR5>69[E8~ZA:D5>[]_H^|:<}5>=°R[EC.Zk>?A[<F_¤5\R695>8khCj6?A[]C]ZA\6|C]^|5^CEklZACEB]=Og5>= r=O5h5{:D5hC]ZQ^9C]=O^¹[t^9[jk>r[<85h=OZ6;C]5h8RZq&?AgRFRY57Yk>5h[]Z_7\YR[<^9g5h8;6n?=>m} []`?mY5hkLF5>kL~698RB&C]8R-=OFR[lr Y`p5lgC]xs?q=O69F\vz5s^|xs5]gR}vd8R=`w5>[Ekh[<Z¤6gZAC]?A5>Y\khg6|g^9?.6nZA?=Omzvz69[<ZAxs85h=OvdgR698o=7^n?A=gRfXgR=O=O5$FR5LZA[l=O6|r#5hY=5>?Ak>FZA6|5hCjC]8?^96él=O5LCjYZq?A5>6|k>?[]6|m;8¹C]Y^9y6 5>él?kLCjm;F?AY5>6|[]5>kQ87;kQFR698695h8¤B&kL~[]gR69g8R8;?OB \[]8¡5hk>?A[<F_7575>fX=gRg5h8ZA695>5h=k>6|CER8C]¡\^95svd5>xs:Dvd5>8¤=>}gR8R~6|_75hZ69^|:DCE5LZAZO^nmXmy¹=@6n?O`ZA6|fX8gRB<5h5>ZA8X695>?=zC]=Okl=OCEg8-_7gY=O?A5.69[<ZA85h= kh5hg:D5>ZA=O8$69:D`p5[]ZY:DCj?A5hF.ZOm{5h;=O69Y;_7ZA5>YR=O^9=O5d69[<[]8Rg=>?Ay<YR?g;m;?Yvz5>kQxsFRvd5>kQ=s~6|r86nB?AFR\[]5hgk>[<?_7=OY5>5>=k>g6|CE8^|69él5hCjk>?A6|69R[<C]8¹\} ^95 ;fXg5>~k>5h6|ZA5>R69:D5>CE5h=z\RZQCE69ZA^ ^z5>6n?=@mofX?OZAgR69[]5>kh`=@?A?A5l?69m;[]Y8R?A5>=$[$kQFRCE\ZA5h5.5-kL~K^969Ä5h8R`BH?&jMO`pNh`p[][]GJZ TZ&]UZA`p5>gB]L?AÄOgRg;MQ^|ZAMLCE5}Z r®[<?z[]gZA69?A=Y}·g[<?¤Y45>vz85txsrvd=OFRFR=.5h[l?ArsC]F85>5h Z ?AYF^95h5z;^|69CE?mX?O?Ay<5hkhZ^|[]ZA=O5>69=@8R?OBzZA69?AkhFR?A695s[<ZA8u5>_klCECE8u698R\698R5dBdZA5>B<_7C]Y[j=:D5l\5h?}rs45>5h6n8 ?AF&^9[jZAr5>B<5hCEZZQC]&8?A¤[7gRk>YR[]Y_ 5LZ \[]¯gR8R5hmX[<=s8RZA&5>_?AFRCE56|869=_7[<_7Y5>5l86|} Cj?A5d`V[Xk>g=w[<8H?m;Y5>kLF5>kQ;698ByRr5¤\5h^|695>:<5 ?A698XFR?ACE[o?bz?AFRcH5$e'ZA5>fX=OgRgR^n5L?AZO={m[]^|`dC]8?AFB<5HgRC]YB<CE5hY=>yd5hZ{vzYxsZAvw[j:~®6^9;6 D5u5uk>?[<m;8YR=O696|8B5hZQ_7CE\R5>^9kQ5uF69C]8R8=O6969=OB<_7FX?= `p[]ZbzcHeyCE8{?AF5d=OgR\;?A^95z6|8X?A5hZAY^|Clm{\5h?rs5>5h8&?AFR5>_H} Æ9´LÈzv.C]8R}R$¯q5>5>}kQxsF¹yF [<_7}ReYRC>=Or[]8¹ZA5>};8bzk>cH5<ye¡c¡=O} kLFcH5>CE_^|[]C¤8RYR5hmXCEyZO?¼¤´<}ic&~5>?O8RZAgkh5>?A^9g=O[<ZAF5h=>8¹} y Æ µlÈvz¥cH}CjC>¯?Qm¡CE69?ZA´>m;[]±<Y8u±]5>±;C]=>} 8R}cHÌC>m¡}RcH´>±<CE±]^|±;F} []?OZQC~}bzcHe=OkLF5>_C¤YRCEZO?wµ~i ~} Æ ÿjÈ ¸Ì 5>}RB<¯gZA^gCjZB<B<?O5hZA_5>5zC]^|8RC]8;8R B]zg^|CE5hB<6|85>=yRc¡[j:D}5hZc&8Rg;[]ZQ8CE?Q¨ZQC;C]y8C]D8R5l${} v.C]^9};YR4FRC][X\[~5h ?A=>} y ´l±]±<¶~} Ì :]C]69^|C]\^|5Cj? Æ ÊEÈ C]g;}R?A¸q[<}_¯ Cjg?QC;kLF} 6J}R}4cH5>CEC]?AF=O}5>ek>[<[]B<869; ~®[E} ZQZAgR5hZ8RCE^JZA}6n?AcHF_7Cj?A5hF¹?A}969ykz:<C][<8R^J}$Ë~yR8Y69Y¹?A5 } Æ õlÈ YË<Ì ËZA} []~ \R±<µ~^9}5>y_Ú ´>F±<`pCEË<[]8³~Z;} `VZQgC.8RkhC]?A869H[<8Rc¡C]^}C]ø¤8}{698RCEZQk>;^9gR6J}=O69xs[]8tF5z6|5>_7Y5>Y8R^96|k>5>CE8?A69k>[<6985>=69= gR´l±]8R¶DõX5>}kh6C]\^|5]} ]U wKRÒ;GJTpU~W]y´>ÊR¢¨ÿ<£Li ËD²~´ ~Ë<²<²~y Æ ËjÈzv.bzcH} Ú eFÅwCE_.gR\5hZO5hm{ZA^96e¹8¹C]y 8RB]}Rg¸CEB<[]5z\R69`V5<[EyRZwC]8{5h?Av.5hZA}R[<B]°5>^|8R[EZA5h5>[<=OgRk>=gtvzÅwCjg?Q69C ^ ?li Ì 8 Æ ²lÈ 4-¤;[]} ZQgCEÚ ZAYRk>FY5hZA=>6|698=@} ?AB7[]YRÅwM>FRgÏ 6|5h;ZO5>m$=>yeC]} 8Ú B<gR^9gC]¿ 5hQB<?U 5h=wC]]8CEÄ 8&Á<Ð} ~769Ä _7lk>NL695>5>MA[<8XMO8Ñ]?TV}bzUXÞwW]cHÀ®8 Âje } µ]8X³]?A³<5>³ BEZQCE?A69[<8}R8 sÄ lN dy;YRY¹} ´hÊ´hA´lõ<µ~y Æ ¶jÈ } Ú ^CjZA}RbdcHe-YCj?AF&^|C]8B<gCEB<5}¢Jbd¥Cj?AF£Ly ´l±]±<±~} %x j %KJ 7. O% 3j REFERENCES hG¡G¡{²³´{´EGGµO!¶Eµx{·!´¸{¹O´»ºS¼½ G'T¼¾À¿Á»´ ¡G¡²³´À´ECGµv!¶DµxÀ·!´»¸{¹O´ºS¼½ GS¼¾À¿ÀÂÀ´ *Ã Ä {¡ ²I³´À´ Ä ¡²ÁÀÁtµÅ' Ä xS¼¾x¡OÅTƵv¡C¢O¿ ¼¢E)Cµ*Ç ´»G² ¢{ÈO´ ¼ÅG C{´{¾x¡GC{²Å{½{½À¾x {´ /É 8Ê # Ë T à )³ 1Ì!ÍAÎÏ % mÐ*%xw C É <³ ´ ¶n]Ñ7OÒÀÒÀÒ FÍ 'j% ?w É Ó % rR Ó % ^ÐrÎÔÌ!Í»uÎ V n /É ¡G¡²³´À´ECGµv!¶DµxÀ·!´»¸{¹O´º{²!¾x¡C Æ ±jÈ ´l±<} ±]Ú ±;^|}CjZA }Rbz;e?OZQC]8=@`V[EZA_CE?A69[<8=¤¢Jbde;xR£} =OY5>k>6nk>CE?A69[<8y Æn´l³jȤ_7 } 5lÚ 6|^|CEg?A5h[E?lZAy =Ú 8R}R5>vd5l$5h^|R[]\Cj?Q5>C.^Jy k>[<}8~;:D695L_7ZA=O5>6|[][]8H8 CE88 Ä }RlN;_CEBDC~}ø[<g;Z Æn´<´LÈ v.Ì };}vd~gR5>k>g;69?Agz=O}kLy;FÌ YRyYfXc¡}¹gR}R´l5h²<ZO°Rm{²j5hAZA^|´>8RC]¶<C]8¶;8B<y;g´l5>CE±<é<B<±]y5z¶;v.`V} [E}Z°bz^9[]cHZA5>e=Ok>}gy8 Ì }Ä elN5>:XmXy;C]8 Æn´jµlȤ;Y} ®ZAv.698}B< 5hZl\yRy\Rx¹;69[]8R5>ZAkhB][<[<F8X8C]?A$g[;=y C]´l;±]86n?A±< 6|±~[]} 8¹}Ry¹°´l^|±<g±]_H±;}}°6|86n?A5qc&[~5>^xsFR5>[EZOmX} Æn´lÿjȤc¡8X?O} ¸ZQC]} kh?ACE69\ZA6|5h^9m&6n?A6nC]m 8Ri &Ì v.} gR} 6|<[]5dFR8?A[q=O[<?A8¹FR} 5Ú xs[<F_75>Y[]ZOgm$?A5h[]ZA`=CE8 Æn´>ÊEȼd¸qÁ¥} e¤ }Ú Àh[]MLI_7ZQC]YR¹FR^9PRC]5h_HM?A]5>yÄL8I ¯5>=O¢®} =>e;}R5>}R°k>¸ZA[]5>[E85>?A$_FR=O CEkQ8¹;FR69yR69?A^|&69[]CE8CE8H8£L}R° 4ZQCE8R6|}^9k>5h¤69mX=O}y;k>;¼[;Yy5h5h´lrß8R±<k>²]ø5h±~Zl[E} yZA y Æn´jõlȤ¥´l±<ZA};±][Xw³;k>}5h[]=O=O=O[j6|mX8C B{C]e8RC]H8B<¯gR} C]ÚB<5]}} ¥695hZAM>k>Ï 5<}Rbwvdgk>&5<i ¿ QÌ U 8$]bzÄ 7cHÁ]eÐ Æn´lËjȤ¥CEÄ};l?Ow?ANL5hMA[]ZAMO=O8tÑ][jTVmXUXcHC W]CjÀ®C]Âj?A8R}kLHF698R¯B.} `pÚ []}Z¥bz695hcHZAk>e5<}R}R¸8 5>sB]gRÄ l^|CEN Zw Y;ZA5>=O=O69[<8 y Æn´j²lȸqµ]~³<?Q}RC]³~c&8R´<R} 69^Cj8RZQ5hHZlycHc¡e}}xc&[E@`p?Axß5¥C]8RZA5>$=O=>¸y}R´>±<w±]CE³;ZA} Y5hZl}RxsFR5zvw5h869?A69[]8&[]` Æn´l¶jÈqxw;5>}_7c&69=@69?O^ [ZAgRC]kL8R?Ag&ZAv.5l}Rvz;gCEk>?Q69C~g¹}R}Rx8 m;sYÄ5dlN 8;`V5hZA5h8Rk>5d`p[]ZwÅwRygRYR5hZAY695>} =[]8 Æn´l±jÈqbzxwµ~´j}cHõc&;e-69µ]^ [µ]xË;yZQyv.C]8R´>}±<=@~`p±][]gR±;ZAk>} _769g5hyRZA=>CE}R8 8 ¤} Ä wlN 6|C]8~g¹}xmY5hkLF5>kLyR~Y698RY¹Bq} ´<`V[E´LZ@µ]µ~y Æ µ]³jÈ C]µ]8³<} ³]{Ú ³;}69} 8Rc&k>^96ngR?AkL=O69F[]5>8t^9¨}xs5>YFR5>5z8R69_75>8YRk>^9669kl5>Cj=>?A} 6|Q[]U 8HEYÄ ZA []\RÁ]^9GJ5>T _ª]U¡`p[]Á]ZUÑ `Vg8Rkh]?AU69GJ[<Ä 8R<C]Ð y ^ Æ µ~´LÈq°õ]ÞË}RZQ¢¨¼ÿ<5h£L5>Zli9:D´j};5>õEw8&Ê 8C]YR´l8²]g$ÿ;\Ry^9xw6 =O´>}FR±<~5l¶<{kLÿ~FX} _r5>C]8X8~?AgR6|kQ=OkhZA};69Y;bz?lcHy´>e#±<±]~±;kL}F5>_C]=r6n?AF[<g? Æ µ<µlÈzø.`V[]Z}¥:~C]695hYRrC]=D[][]8R`=@bd?QC]cH8X?Ae698RR[]Cjgu?QC;C]}8R 8 qs} Ä lN 6CE8~g¹};vzxsv'698R`p5hyZAYR5>Y8Rkh} 5 Æ µ]ÿjÈqÿD°õj}Ä ®l¥Ê<NLË;}MAy MO¸wÑ]µECETV³<UX_7³]W]³;=OÀ 5h} mXdyÞwGpPR8HM C.EY;UZAÑ[<\]U^|5h_¡Á][]Gp`P`pM []7ZA_Á]GJC]T¨^¹NAÁ<^9[<Ð B<69lk<Nh} T®MLGJIEy Æ µEÊEÈ ÿ<³}R¢®¸µ][<£Li\µ]69Ë]5<Ê };xsµEF¶<Ë;5y´>5>±D=Oµ]69B]±~8H} []`bÅdey ´>±<±<±~} Æ µ<õlȸq6|8;};:]8C]69?A8H5d;R5hCEZw?QC.c&C]5h\m[<g;5>?8}^|69xs85lFRCE5zZA^nk>m$[]_7[]ZQYR^95L5hZA;5l6nH?m{[][]`_fXC]g695h8RZO=>m;} 6|8B y ;} Æ µ]ËjÈz4¾õEÊRÁ]¢@}U´lxsÑD£Li9FÏ ´<[<´lj_ÿjS ACE´l=>ÿD}õXe¹yEC]´lÄ8R±] B]±Dg²~Á<CE}Ð B<5>ÁE=>U~yW]C]ÒgÁl?AWX[]ML_ÀAyCE?Q5lC~;y=>}CE8$}¸^9[][]B<é>69k<5>}8~\8 5hZAB C]8 Ì }CE^|[]_C<C~yR:D[]^J} ÿ~ykQF¹} ²~y;Y;ZA698RB<5LZly¹´>±<±D²X} ^É )¡G¡{²³K´À´EGGIµv!¶EµEÀ·!´¸{¹!´»ÕÀÖO¿º {½C¡ É Ã 1 (Ó % ^ÐrÎ ÌOÍ»uÎ V n (Ó % ´b´s´× É # xw # # o É (É % ´ Ó % ¶n]Ñ v 7!ÒÀÒÀÒ FÍ 'j% ¶w Ó % ^ÐrÎÓ V Ó*¨ Ó % ^ÐrÎ\Ó V n>Ì J³ )³ (Ó % ^ÐrÎ\Ó V n8Ì ^É Í 'j% ?w S %Ð*% O% % 3³ h³ Ó % ^ÐrÎ\Ó V n8Ì Ó % ^É S ;%j 2¨% G% Î Ì&% ?w ¡G¡{²³K´À´EGGIµ¡{ºE½Dµv{´EGÅE¡G²O¾»²C {´ºØ!½À¿»Ç ÀÅ»·CµO¡S¼½ Ù 1ÏÐEÌÌ {%'% 3%j$U% ?w &¨ #
© Copyright 2025 Paperzz