From a2316f31c599c083d6ac0b456fd4039cfeeb6ca0 Mon Sep 17 00:00:00 2001 From: Florian Mathieu Date: Mon, 3 Feb 2025 09:11:54 +0100 Subject: [PATCH] ajout cours markdown et images --- Graphes/README.md | 203 ++++++++++++++++++++++++++++++++++++ Graphes/assets/graphe_1.png | Bin 0 -> 47670 bytes Graphes/assets/graphe_2.png | Bin 0 -> 49796 bytes Graphes/assets/graphe_3.png | Bin 0 -> 44104 bytes Graphes/assets/graphe_4.png | Bin 0 -> 55916 bytes Graphes/assets/graphe_5.png | Bin 0 -> 59693 bytes Graphes/assets/graphe_6.png | Bin 0 -> 54530 bytes Graphes/assets/graphe_7.png | Bin 0 -> 66633 bytes Graphes/assets/graphe_8.png | Bin 0 -> 66981 bytes Graphes/cours.ipynb | 1 - 10 files changed, 203 insertions(+), 1 deletion(-) create mode 100644 Graphes/README.md create mode 100644 Graphes/assets/graphe_1.png create mode 100644 Graphes/assets/graphe_2.png create mode 100644 Graphes/assets/graphe_3.png create mode 100644 Graphes/assets/graphe_4.png create mode 100644 Graphes/assets/graphe_5.png create mode 100644 Graphes/assets/graphe_6.png create mode 100644 Graphes/assets/graphe_7.png create mode 100644 Graphes/assets/graphe_8.png delete mode 100644 Graphes/cours.ipynb diff --git a/Graphes/README.md b/Graphes/README.md new file mode 100644 index 0000000..0a571ae --- /dev/null +++ b/Graphes/README.md @@ -0,0 +1,203 @@ +## Les Graphes + + + +### Qu’est-qu’un graphe? +Imaginez un réseau social ayant 6 abonnés (A, B, C, D, E et F) où : +* A est ami avec B, C et D +* B est ami avec A et D +* C est ami avec A, E et D +* D est ami avec tous les autres abonnés +* E est ami avec C, D et F +* F est ami avec E et D + + +On peut représenter ce réseau social par un schéma où : +* Chaque abonné est représenté par un cercle avec son nom. +* Chaque relation "X est ami avec Y" par un segment de droite reliant X et Y ("X est amiavec Y" et "Y est ami avec X" étant représenté par le même segment de droite). + +Voici ce que cela donne avec le réseau social décrit ci-dessus : + +graphe_1 + + + + + +Ce genre de figure s’appelle un graphe. Les graphes sont des objets mathématiquestrès utilisés, notamment en informatique.Les cercles sont appelés des sommets et les segments de droites des arêtes. + + + +### Définitions et terminologie + +On appelle **graphe** un ensemble de points appelés **sommets** associés à un ensemble de lignes appelées **arrêtes** qui relient certains sommets entre eux. + +**Ordre d’un graphe :** +L’ordre d’un graphe est le nombre de sommets du graphe. + +**Adjacents (ou voisins)** +Deux sommets sont dits adjacents s’ils sont reliés entre eux par une arête. + +**Degré d’un sommet** +Le degré d’un sommet est le nombre d’arêtes issues de ce sommet. + +**Sommet isolé** +Un sommet qui n’est adjacent à aucun autre sommet du graphe est dit isolé. + +**Graphe complet** +Un graphe est dit complet si deux sommets quelconques distincts sont toujours adjacents. Autrement dit, tous les sommets sont reliés deux à deux par une arête. + +**Exemples:** + +graphe_2 + +Le graphe ci dessus est d’ordre 5 car il possède 5 sommets. +Les sommets A et B sont adjacents. +Les sommets D et E ne sont pas adjacents. +Le sommet C est isolé. + + + + + +Le graphe ci dessous est complet d’ordre 3. +Chaque sommet est de degré 2. + + + +graphe_3 + + + + + +Le graphe de dessous est complet d’ordre 4. +Chaque sommet est de degré 3 + + + +graphe_4 + + + +### Exercice 1: +1°) Donner le degré des sommets du graphe sur le réseau social de l'introduction. +2°) Donner son ordre. +3°) Ce graphe est-il complet ? + +--------------------- + + + +## Différents types de graphes + + + +Un graphe paut être **orienté** ou **non-orienté**. + + + +graphe_5 + +Dans un graphe non-orienté, chaque arête peut être parcourue dans les deux sens. + +graphe_6 + + + +Dans un graphe orienté, chaque arête ne peut être parcourue que dans un seul sens indiqué par une flèche. + +Un graphe (orienté ou non-orienté) peut contenir des boucles c’est-à-dire une arête dont l’origine et l’extrémité correspondent au même sommet (on a par exemple une boucle B sur la représentation précédente). + +------- + +## Propriété de la somme des degrés + +**Propriété:** +Le nombre d'arêtes est égal à la moitié de la somme des degrés de sommets. +On peut voir ça aussi comme dans la vidéo, la somme des degrés des sommets est égal au double du nombre d'arêtes. + +Ce résultat s'explique assez facilement: +En ajoutant les degrés de chaque sommet (c'est à dire le nombre d'arêtes issues de ce sommet), on comptabilise deux fois chaque arête (une fois avec le sommet d'une extrémité et une seconde fois avec le sommet de l'autre extrémité de l'arête). D'où le résultat. +Il découle de cette propriété que la somme des degrés des sommets est nécessairement paire et donc que le nombre de sommets de degré impair est pair. + +### Matrice d'adjacence + +$$ +n \in \mathbb{N}^* +$$ + +**Définition:** +On appelle matrice d'adjacence associée à ce graphe la matrice \( A \) dont le terme \( a_{ij} \) vaut 1 si les sommets \( i \) et \( j \) sont reliés par une arête et 0 sinon. +\( i \) et \( j \) variant de \( 1 \) à \( n \). + +En numérotant les sommets de ce graphe par ordre alphabétique, sa matrice d’adjacence s’écrit: + +**Matrice d'adjacence :** + +| | A | B | C | D | E | +| ---- | ---- | ---- | ---- | ---- | ---- | +| A | 0 | 1 | 1 | 0 | 1 | +| B | 1 | 0 | 1 | 1 | 0 | +| C | 1 | 1 | 0 | 1 | 0 | +| D | 0 | 1 | 1 | 0 | 0 | +| E | 1 | 0 | 0 | 0 | 0 | + + + +graphe_7 + +**Remarque:** +Dans le cas d’un graphe *non orienté*, les coefficients $a_{ij}$ et $a_{ji}$ sont égaux pour tout i et tout j compris entre 1 et n. + +Autrement dit, **la matrice d’adjacence est symétrique**. + +Dans le cas d’un graphe *orienté*, la matrice d’adjacence n’est pas a priori symétrique. + +**Remarque 2:** +Une matrice peut se coder en python par une liste de listes ou avec l'objet "matrix" de la bibliothèque numpy. + +```python +A = [ + [0, 1, 1, 0, 1], + [1, 0, 1, 1, 0], + [1, 1, 0, 1, 0], + [0, 1, 1, 0, 0], + [1, 0, 0, 0, 0] + ] + +``` + +```python +A = np.matrix(A) +``` + +### Exercice 2: + +Ecrire la matrice d'adjacence du réseau social de l'introduction + + + + + +### Chaine et cycle + +**Définition:** +On appelle **chaîne** toute succession d’arêtes dont l’extrémité de l’une (sauf la dernière) estl’origine de la suivante. + +* Le nombre d’arêtes qui composent une chaîne est appelé **longueur de la chaîne**. +* On appelle **chaîne fermée** toute chaîne dont l’origine et l’extrémité coïncident. +* On appelle **cycle** toute chaîne fermée dont les arêtes sont toutes distinctes. + +**Exemple:** +Dans le graphe ci-dessous: +E-A-C-B est un chaîne de longueur 3. + +E-A-C-B-A-E est une chaîne fermée de longueur 5. Ce n’est pas un cycle car l’arête A-E est parcourue deux fois. + +D-B-A-C-D est un cycle de longueur 4. + +graphe_8 + + + diff --git a/Graphes/assets/graphe_1.png b/Graphes/assets/graphe_1.png new file mode 100644 index 0000000000000000000000000000000000000000..580878d4f5d0e2cc99897a72fae9ece81c0f6768 GIT binary patch literal 47670 zcmZs?1zc1A_dgDUA&hR2l!k$X0n#BU%4h~6IT7jZ7%3r0ii$Kyj2hjYB4AL`Ee+Bo z{|j$@zx{lF|2;N#x!Zl+^E$5+&+|O5g~1*v5<;#+FfcF(m6h&mU|?WzVPIg+;Nk#h z9t|pEVqg#`Tgu77l;z}@VUBiBEv*q47)oIYy4UnHd#F+jG;Uzy-j`PS@sK2jOj-q( z&wr2Qg^Cg=h|EkDR+w#iN;L!r!!)H?U<3#idl}_ zo!*#y_yd3AZJ@?l>iNY`c@Rqt1_m2s?sod)SNJ>JX3JJP!@_CxoR@ z1UR@331k+z_Hkq%^0pHsQ>$riwyR+<7wjIR2{3Ng-WcemHkW1)?V}P=4l>1S_a!-9 zSb9VyD^6`n_XBG=3%WmMDfPqr?BOjNSlqw>O?&?1lSq2z#0O4CUoQq6&+I;aQYYv$ zA$;eV!^@`d<`!x^ZoS7u1x2)TOK}}Re7cQUZx7t?wXRP{&+hy z9*=m7Q=>_LVzn~g4H7YoB`2NQ(oDKZq;b-Gl8%@Ye?s5xNunFJfGj4c{qW&CRyoBfs&V3#%LArf9 z7g}RH$%4n}E3L@JL@oI$0!BfS+snWi!M0P%!#EPRbljEOIp_K%IoH>3!YG~`weX2K zDsH)pDDu-lV1#CNG_~?>#+;VJ+#>vJkV{+q=m`l?H8VzuKdADy0IfNugO#oi_1TA2 zJdigt7OgZk{mC07X_$`$nR_G{JfrsFzO^kX$r)t= zHXIVU7c%z^CNK_L8n*4-_X0oBTFf(Id3YakinEuKGLqVoe8+R+2*XFnWzge)PxpoS z`F!z35!-_A7&`b((B;b^lEdgQu1$dZ+gf~P`-)yI9&{C=AXYC9riG4XA^WH5$y{6r znvQ7GTh3V_??cwo!qLN0!-|wv-;En;0wv^@mw&;0Zit5x?zdB!Tq|)JRbB@T2Mu9S zxzbxT>z8Dzh*!_0>=jlc$4pP=dO}3yM*0q+1*oivyw1F@D-rqpYPb2+JZ?F1KKSsl zo%W3fFOj#|3qA3$W(Vw#V?AS(7>lQh`|e)klZQ`alK7@;j+?M%eCn&J4!hlM?ulTW zPRz2-ZoBn|5E}74$4Hjqg?0bbrY{mFnTZP|+LH7!Cg?*F_I1%#WAe{j1Ici`z;5>G5ri3BV}{w6w}85-kgj<4}@U5<#A zGX`IY&heVZ3ul(%7&Wet{7lhY(&xcZ_s6)d5z5UE;yuF=1@lQ$r#<*AR8BS-Je} zPGAOe?S$Kw%4(4vC%Qbv8gdqnzy+VDb!Th%6x$v@xWf#GbUQrL0wS8Gl3bHN3}cN#M2M;VnBMDZ*RVJ83ztSGwzMloYg0tr3pw zekEU_T-*3umwu?6n$47(TG%Ap^yH!u)7IF6#71DqIJ1Q|uxM7atsw+IgqnC->P%Sf z+hD&yr+vt*P8(GlBdb}aF>Bsu(M(MR!%kH*sd?V{q0X*Iv4=Dqk{qUSLmXWXe;Kc! zMNsrQv}?Bu#=i~TZr3uY?I<7GD|=G`uZO3PF_xV!X*pGT)E+uK1zXuf@fggpG=?YsWNef*FG2o#F>~cbB~Ec5Dw#j@S|`oJjt> zbx3|hR=5?D*pu@p03#r=x{~8n!WJ3uXsqA@VzN2f2tO4(JOI3V0q+ z8)z74ft`wbBPb{sg-{N`tw68`_VLfZ~ed*TR*?eNh=v$6#lWJ7%hvwi)a{#>YIw0d>5Bg#`!w=-CHlc z48ESk

XhkM9e2^BT&PzDssE^}gkvL<@|$-eXB+w(I_iWIEx4&~>PVhaO8FQyw$r zaHvWMJhXaiuK&@wZYAP_6cm@|2!SIhCy?opv(o2ri>ZIE@4FD)oA-C?Jfe=1!A_z} zI0J=m72m&>*cy@j(3%izx6IjZ_t?1Hcr&0&3VflZnWfGKt*scen$3|vV%f&qVirNT#yiYsbeJt(cBT;Q*O9UxvPNC(*CbOt zyQ zp13(wQC&%YGPFM;S7=-4@_LeA`0-Blm(ja98>8CO1)Rm;$6{XZ-Oj(fd_iX;Ja0GE znBZ7&Ub%g+D|XNA$$8?%_;Q`o7U?GC^hmwYN%OYM;#OtTmZh7O)QP~1$;Zr5MK>mV z#wK?bzn|G=Et=oIezD*f$WIlMvRfrst^e6|BqjPp$;f+?=R|XDV4vUS3FFzvt>VN@ zhe?KF^I}gUevizHr(FiGt3FAnOAt>jHlCg}9tHji&5vG>UY2C{^*r!crT+37U0i8I z*A(niH}YW$ap?(`tjbI+J=^yB`9Sb{>3SKud7qpyx%o0|lO zQuactLsO6%Ltp}l3w$xXKtA=XaG@>*_oR10&QD1N--P9s%!{k5|C!@|u6%v0_6ot^xm%0WbG7(4TK(aiwAXImVm; zKEsgFlv7p)-Zjk}5eQqSXLime>D>ar2|RlxxDy5j75n82Q(1#;8yJ7sQcKTS@1d%w znVro|6LULL#7%b_`^#}K#N9=KLmPy%3A4M6wXKt=y9CSCH$;Ks%hUWU%vWD=wvu4c zdkABevvWi+-@PetQ-DPh!pzJp?r8p0RO7zF@5_PzBv_s~JKKx$^SimZ-E_Nk)6UU? zU+~_&d;9`I{6a!}z&H4uJZzm!-1%&sSpOO1&p7uHPG*jl_Rf}ew#=8~nwZ+TI7_gw zT;Ay4$3Jo++%5mRldaS5X#o@Dzx;$>@TLI&zheWJieH`;g;}~Itl{@9Z2+AC_mI3T zA|QVC{r~5a|L*wLm3seODIy^9_mzKr@_(aWiZC&JMc1;8y6@j&ff$}L{{qD7eQ)!V;OQm^x}>ZQ5-X_|I2J;3=pn!=Ihn(huKyi-#PU= zZG9?QE#fN>TAS(<7fz~%zkz#{`Pwx`9lb1cS(S=Cqys&asPgrhxkL{`v`(1U;NMM7yb|m zpKJeD3OQ-8%F_^8ru+XR+uhO=SsmTAwoPeLAVhF#c!I*Ddu&OE8xSS)?P~^0>%Xt5#XI z8ir*dUcFel25xHgq{r=8uk9rR%i`nbVMAO08pk&XFwy4-Hn$4~9+>Mc*YSre)20ZO z1#$`wa*&XGkcPAWW}rXLtQyO{-gU04;oeu9dvZW;bB0vs%NC(7}z- z3iZ=+4dlNFyjZ+WSD2pNp=eFLfaWM~~rVN)+ZtpOyGYt*Dl)h-s)tWTDu%JyqK*1Xp9C3aVf$7Y-c;LUgrN-?crEp%0$ z>hd+=OeyVe3>uvOU9K0>5+ow4qSi}o#OrNLXU#c9Mpb7gwUm`rnH5y7=``UaRBRh^ zfx{OIajw4#jLN2z>Fo90gOg}Od0OvH53d!bGpxGp-jPDuA+ds^Hljxal}wv* zCXQgK`k-6m#Jdhte~ZXR#^u6r_n=d4{iWZ}@w+?ycdS~95|$2Jt)5#|(c_b#QuVU* z~>pi2UNUID=QZdrteUTVqLx zV+4An>;E8$&)eEg#&Owhwei0=uEmMe7%@>sw%R;de&RcZlj_+ksyLwUWDy#CJeb(E zHP&9Y_5HjCEv#ORaBJ1<8t9AYy0kc_uLf8p40lY@omSXWZOYl{>~lTm zXU1+p3N9)1;YIPq*Col5?(1T8sO6ssy7Mout@l0}RXQ2{3U_%g=9Z<_zWTnS8$97b z3+|<);CX-ahQsr(7zvBORxu1^2lt+|)=TU_o1QN>o@lSNN#TAyHRxWp`L#rNx<2r$ zFUR+nlffIBE+^fMW1|Z~I^Wq~tQ|`RSLPIQsXS2j{UF{)o$ARGK>kXIBd^FniYhwyy5Rt-IfwzYdI&H=Ps=U$n=0AE#gA#2Lr` z%6xG?Ng@oJ(a_v8l$sT$>T#mYt5}D zyLZr!!??xDBQ?7}7Ah>unEcEqmj}l2{Z55#7VwQk(C`$93X|>Y^t8tv$AZbnWki1k zMR`zmQ5z8yHVRL`IoYY2KG-;X-_~{z+;nkhvlkIc&7~izy-Ak?=%(_P`*|oAOj6!N z2xrn9&*E%r&}?qfZGF;jzu0=GYyfq*s=Zd@{<+GjaH`It>8RqSj}cB zka#jwcB`kXDP%KW;3JdkGX__h^m(abKq%KfF_X<6!embSC-)W(j~55*tVbtP>upCG z4zN5kD~}1jxtUTnH;vaJUc!&qy<6*W!PS&A@>d`kBBimjEOYZbS?BPs-?g!EZF1OhZSG-8q~N;UlNze* zJG1g(l5IN3_Q~vUBHv_d$8D;T%6a9vLcy#81?RnT zYND#UHgscLbb19YH*TNy8l54;B0A+Q82u)`_wO-X-i;<+f`Xche@;9Dl-<3=<_1hh zsrVZRVdMEdN9t_QNzL|bhsnUosJLNI>X#Z9tRw+nGTzeprTZ4~FX7iTD{{2I&XzZN z`OoFct1=4~w&lRRvypp{KPHO&&J3#rfyX$53vJ4;_Zu+6U9{8`8js|+rtTcAm;G|0 zNPGC9=T|5s{(LNXftHes{R`A3Vx-kVxWQ+#U2JP~?$f(rri;7K(eyZot@2@>JM(rbpb7YpX;EH2RXv-CQ{j0 zuBY%#)du_V{%WsPP~2DnBB))5T`LuO;)X$Yc}IcJv@9qwUFg>i9Lk zqfkarc|+yXNorO+L3Je^j=`zT1~;37feU(^lXt_1qs!~~&+NKxe+^lBy7i-COR@db zE#oIskDV8F@$$QO*43DwLT?D3*i0LJ1KKlxU>D2>JF1>2;-cIrVE<23cq=)V(O+-w+#@eeEj6}<&%VSqRl0ZvW)W|$?Fb)lt0Cud)0v!WN|Pi zy>Df57a`p4=ziXT_{aDZc-WvQ=91_1feUwwNzYk~4 zKa?P*l6Jo!T7OUfR17zHC9;K z$L~j;lvVj%con^Jmc47evRRszw}KREmBp!gs1yk`GfN5m+3t6$yKy$sM096Skb>Ld z;8)NQgBjJhqojt4tqkeo?Q0jqLs4CRVC5Y(iABh@IuAch#@m z)G;cK9_Cv2myLVu#Zz^kwM_@Gn%Y2!AN_n@n_U+jHz$uqPjnJd46Dkv_TAS*6#0Zb z`yE*=9Q@h?ss+&WAL9Pjw&XwB9+Lq>s^;v{=y}iKowU zT#ln&7cCUJz9$DSf;Q_T)7GJSBcG$c)URou%vN89B&Dd1ZYtX<7*l-|DA@8R-I2#> z`XRj5Yea;5Grj5nTYtRNW*bN`TWJrdKkeL0#SruBh+F!+XhoEBj4@s|`r$P1;-sk* zlj62l9wTA3?Je8ouFX;EY0t@izmw8CpB@@uopIeO|BPSj#dmF={fET-GJRz{n8BUi zi<=bzR*8T@lT;>%D$9(&AGbIg{Z}ChT|vx+c@8kd3D$q(8iHgkzyEXD=<@-`R%2uKWF+;_2J@Vx+I3*XY7ZjWxKv*G1j}4LU7ebJ*kEO&>|UxQZk3| z!0R*5xgg*YLUM+4Jv)c?%hw@6??eXX>lvj|>L>dY{cM@eKQoOH=o3)4*6&OG3X<4) zeSzMW!UH3sO^uJIlBjRZ+cnw5Z8cg=F87a9`>j=3Q=C_y?~D0{YKwh%z;F9{*5vrC zHTk7!gkDL=s8X`r+2iKnViKN5FH-SGf5{uE6!{H0%CQbhBfxRD6ce&Pj08MY6@0tq z@>d25!J~I!NIb(+MhabFM5?2wXL2^=l`YHF`wWW6H7M|(lkRJm^r7wMTLYtD>$0sH z?~d!PwmoW7B+KRu!=cj+0ZdO?k9qsOlZ6>LInzLkNdy*xa+0zpj#$fLBK&hcvC3^# z3kOAX7b_PPi(ZHIpbwu{dGmLQ$}A4+=R^s9;-~tA6d7%`>0RVh9PEvLEpA-RIergT z`MJ2&Qunwy$k=fuPUJ8Xm&ce1VPe_xGmf0<(L~wVQBrWd)UA~P@CHNT+GoA?zC}S^QQwgp=;f)!zLLy?#km#NNhFGdu=agym+x}XjqFFlV zIu+%Jww~PL+qZ>yYiT#lKMQizUG#7kZuPb-xfgXX!b5jt7!a(Nv*UWhJfKS9seW15 zZ0%)O3(5F8eyRLS%MyCf^l9{o3rzRs77KEE_KDI`ddYJOdoz4;4RwFEYg_7)^qudQ z8>I1G89yIJ4jA8_u*+0x!7krF6`99TdthQSBmE7pi8@7GE%xFYF$jdR%%8LLprKD@1>*W#C)$UuN|Q^z|EPf*|qs&s%@ObXpy9p>ZN|hTPUga(9sY zU~-|?N7_FO)AJh18z~P_Gskybu>xxY{4BROjQ0xvD#4KyxLTh?dBJxp?3F3Gy6ENe z*>l@olFbuRaHh_B(^=T=f6vRJ-`!w3uE;X|kmXL=(Ss1Tr(E_;USS-odYpz1pi7|4 zEMF1kf^HX4Bv88ROccv*K`P${!*p}M52nV_Nh=Dt>x4H_QV3d`Sno`IQk2YP{0lEb z$aCMi=mp>VwmM!QeQ&l~ux+jKE;L===9*Td-2)cI+9K zWs>u9=+}UI-|YxaK;VDiOwWx}?1fNLO;}*I@jY2T>##Krt0j~E<%|f1LpODi`5^c= z@%<;5FAvEvRm z+veD6*n4~A#qIHeduWr#rZz{3NWF)Z;4MZan22EEBSgmd^Ky0q--G}!of(7lS~M;q zo5WO1&+Qv2!TV+w1h_Hb7M8j+Tb2LHUo+QahE=SUXc}vNdJRKr<6g|Eeb*-=c-ab^}s!>m0mHU@hMCGYL&QfThyIf5-JOT}UwV;>tg-GWeaj8p6A z4xU@_tb#&pjXjQZMrk9*Tc0H#Mj87Ee5tDi#Yv1)whc0sm$A~E^Yj_Ce6X{Wi7-23 z|A|^xd>kF|hqg$5CH)E2_NY5u$JY?7@eR^q_LK)af#!@KB%L8?o zg81Hb?%d7@W@woxbCgs;Z-t^kSdA8i^qwXSe|QUk|4`wCX|9!gxj1`!dc}l&$tu83 zT<3y8U>bc?umt0;@oq=o+t2wZXy0}7!j0;-bnR^H%AO|mzuSI%D<$HL1Gzu4ha$N!72$nF_YE?=mw?&8dcxBw>AYq?oEL@NE+dMF7 z*~r~Svqr5KTET1b2Ggz-Y(6H_HrpC{XR0vqYCJFJU| zV~r(B#VXDbvFqt2X ziVY5hAMNhZ{>w|{CrWP=x8=J&BRZSmff2Pk{p2k5cALhFpvdR3P3j7?+A^vNmO7I< z12y<<2&2x&s8N_5crSM*<~ruErA`PxL^2%(K8BC+x?=6JdF4Z`%_1KsppF+toI)7ILy8^uAm3vb|M@Vx0#Qirae&qn#FD3eT#7sXwpC^3}r`++Z zcep~>djGU(!)|ED;9~IY6VDoYyLW|$Y3NqtZh0Q4<`3*nTOjDAu>vO07TR`3LB+Od zV4_&UNWn?)!WqG?0|ZJFjtBTE!iT65=dXXUo?Wak>a~*j^qzLRJZWW1n$@SKF!)%2 zKDs5!Sh*jfu|C#GBT4_XAZWL&THR1)69Reb|J2L8@OE-=h7j3@QDP!iFZM^JUAsdW zeA#>ZUl9K?bVSTB;k6Ph8uMdrN-pk~j||lac%Zy`u(Y7EuVR1Lb?7f+lpflHe0_BRHE2+#L;@xMV~y)DL!CdcDeXD#w|!9*L_ry>q7tZeNFLY= z5%s1_NVsnZM}$j2sC9Lc%E`@AE|>>D zA;C45$Dto00bQr3V%~q!+dGBY&;1>1zd->;6fN0zW#b0&K!6#C<*{7}0O zR7-aT&dtl(A*rJ?N*D=;g1K&neDhK(WumRXF)wr%7T|$m$x)@*<2gPX=0zZwW<2$N z&w4c)AUekwoi244&7oj9V_9w?I2UsAezJMSgqxSo1CwkoEi)`uazDs#HC9)u~BYNZy!0?wdaTVt4x zPFgkdP6}ArmZrB?AR(blBwC+nH5>}PJ*;W?A7>8J#V#lMcwk=u7>@UC!Cq`e1ut9h zZmW5~J?LQuD&Y!L^hg)?K2-_a`{?=y zcO&x5))JFserr^lmef|y{xM$G$gK|F=U>EvC`%B$ihe4>-cT*AK~i3Sw~iqy9_Tvm zQohQ90XG$&h7OOoy{Fgjpp`2QD3)j7h)ov&IAorjM}`k0$(zM`i%qRwcW@sR`#aI<_YT_byZim)dn~0r}2=D)WwD0);C!^l9OYMTiWJO*OkO zr7PHK$yFeG^uz79wW!}ZppO7-sjJoXc~cf>@f&Qb@fAm>E#rp+@&rm(?D2paNpyZGfSV?mqP~kK*Z72Sry=4{EuFKF;ZB(c`0Z)-b$)8Wb2!s$tvwSVK2Z54;E$FL4GyiBPHxdr zVa>hoL>vRXzU}+fzvawQkX|eKHpsNn3Umj8^3M3bv~x*)C2wF&pq$7>(e&+ipeUWs ze)=nAjn)~lAD}35QPMUhRs2-EVdyV2y$}j2nk^rwUS@m(`O64j_-{|*kp@PENb}7b zG#^BAYRj*Lm7WB;TD;>%KpXMOKUHQPG+1Y#(v-LXgTYBOFO-Jk z&BD1|u?+mtAeUgpqH7AL$d=Kv02HOW?z7rMeTr`-39Upf04{Lw32OR@DvKNYmj|a%>guJT1coHj&}0QX zQ;jsUuVgfnD`K;oG*jh&n^gW~6Kjl-?cc@!TF)C1FCMvHgpxK)&u>kp{uBoDP%^>x`m3YiHfSYGafUX%CfqPrLc@9t<3LS&P{dAh}^q!RQ z#;1d%k@ukFrRabzYx41?8M$<$j$1n7J&faxdgU;WqJY}ck`ViuI7<^mMb$3whlq3x;%hao|08h8;s0&Cpbf_->F~*~%m5ZXV zcQuLt|2P{0H$iIsKUc{H2lqnIy7kXYkQprhWzaOnE7Mok`J>QAs+$iG!3w8~*<4mY z?0}i)Y70`qZlu+AjllXzKmp zVMTKtz!svSBsgz0V>F=C#OJ>myK7{Fm;I$Ypn=1lePgg)3D5hbQ6+|viiyiuYt5Kx zXSf@d+(EcSVHz%8Qeo@@YFpJMI0XQ*+lB5_51`+vH4S6X8uQaM=N^|h5|(kdV2&&)FO{*CtF%OXV{xQxG>BETCFZamPRh2K_$Rs1S1N7NF&8qxQ^5!VoTD1q%5gXY|PwkmBd zF6c)cX~hx%I9G<;u*)t%2aTXIxhyN_y?HvKjJ0&O%cyT!!&Rrl|L}&nLRSf>`QHRI zf^Z{mb`_w4@~X(@^N=3`HEP%auO310!=gIQpTG)pKP_^eEp0C&D}WZEZr_nt@ZyHn z-CN`QCuXQ#A`#8Do$gR|t~_jt%CL>|EU-_nE@}yn|a?_3?vP3x0j(Txfwr?C+{unT$F$nf_%x7iw8$4{8Z=F zhgK92E9!KEdx7*GDmcXWgsPIgf1lWsT3|q*Rz|UeG?!Ok=GwzgxUYijLb8jV8gOghTC%~;0<>2c=lqWRFMZveY zNGVpf*v5p6d{A(A*yGWm~RVuLm3f8gNABj^oVa#5-eO$%uBsaOew zM#3Iny27Sv77Cj|wNwqQla@bN1tM>>yN3U*Q$%wfMSKOy?#KeFuqFoDnem;9m*KS5 z8i5Ogx4i6C`CKgPvM4DQAOnYoC<%jO+%`J z(|tqr@D&!y3Ca7e_ZNJy|LBXk8ls71Dv1&AjAB>p-`$C$IEnpF?8@MT^n_T;2G zKx%2{775q|OD3jajko;81JcJ`;z(>am8KlfV!X7JH|@j7(6ArNwJgmW##*|$s5GD; z0XR8nL%dm|*-C-y%MCO@%n{dwuLMK`a5pxR(iWVFZrw1}&{hnAbBZ2})*4BFFpt;QS2d)AlyX1v6K(?^&6j4-GW?nKvricz7s8WT6 zlDWTZFhkoP)Pr%A?YEGB8B_w5Hr6Y!~p?{B6k6EWpq4d;p3Db;|<0 z3W-m!$KyT#s;^0aXACaJcf=I++i$0ZIt=&D2#5v=b~H-p=xAkqTcTF*OTc|0-Ef7- zr!oEoWiDeUH>599K6}!t#o#3)#B2rT@VdS|HX8w;JZ%7#3hU_1z)MXPfjV5^``0p- zGM{tr(7o5dcBgN=SDC8(-%PcJ-k109g;cqh!dmVM=xV#?SRerTwox!RH=AM0c5<-5 zc$?O=fa6`2;ty_!XYHCBfd^5!(&{l9M$@e46~OY`QM?KxdH>BCh3hYELJs~Y)XHpO z!7>1;Mb=m#Y^gf%HP-1IW6+=hNCOmez}jSDj3JL_6hy^7)@DwOV3%HPh^O?axFoLt zKI0NNmTLULIZs|wVv^yuG4!ecpp^^y46f?rBNA;2K%Dejqu0X|#nC$7V@#!lPNWTK zL(lAp<(mNKIf1;bI_;OspEAIgd^r*iib}J2(9qUZ&Zuc+}Yvu$xVIdbu?9-DS zFJjSvbTOKj2QNw$O?~+5d46ClHBy%IO6*9#*Rr^nV|-NSpR>x z4GmE7$M9wcTmTocSp|pp`kd&zsz8STje$xb*Cq&rrcxjTGqv}@V1U1pGlmt-Q$+zT z=sH12Di+nv+rwY0GXB}UI`a+ich}YK2ekkqkF`(O>Uc}DXqM+jhWv(WZReE|{$W%T zE+Z_UR+^d;6pa}EbX2p+c%+kt8Z3@AFJkLe@ybHE$NFTTx~)^c+po3)wzMyIX-m-+ zf7?=g97d(91WacRAO(viK3D+D6amv31oNuvCdNFEjxv@Z2eDjxr5}CMm@spBkT$ZB zk_$S)5wa{!f=*7=++x2XAWAOTf;xNi&1--s5r%OnsLZ&)Nks@j6GS+>^;OUmdj1og z);v6C>~{(gX63w_KLYHsmjUTLb#p772g}G@u%SHAho3&X3V`pYbpBYm4v6b=S%g~? zqyH8+83*%{U8xMVHC|hLstgREGk6R&ABJcpm)= zX-W>4HV=c#NVCN!+}GZ*HC8QG6l}9Kx<|oN({e)>D6Ye)1-bMh8Crgad-^wkMimtj zdhxZ>vH~VmuMh+Z*E|NJDzKE5rpmYF!(6yZ21?qJ+Zv@9uFUBTogyUgrA)@MJzrIg zPteo8EYftU4OML-%S1*`Q~`y;0raOwrC@R~kOo5d-KF$VAkWNj-(O;Z8Dc+%bEhed z1sH+zArLY(bQ6FwtCZkxqP+oahuC-9llH3kUk~DoyoSR%01*wi!)(Vs0~oR#`VTfi zDgr^}05?`u0@%2mJ$qS})Zc`HhVJ{1xBRTWK_Fya3908vDFbamBzSqB{E$nR>PVmj zY9PJGK&l6VH$W~TEjr%r=!5U;d=-{X)dm8UETGc@l2M_CLP)$2l6T+cwx9}o&Par` z1Q7WF^jA678S>%lt@NoOfRpS>6j(wrH%KOj=Fc52PcD-=n~06RkzpIv)CMeVs$cr@ z*K5K5Q~|jbS0%t6pxl2rs1byG8Wk>^P2?Eb{pt6gn##kF+5j0tZd9SW8^7zhV=;vA zpbwsYS>Zh`EWy`973n$Q$J5YkIBoyaKtzgOYPa$l93Y(MGs9xY+yOTFc`%Ufudk8f z_Cy(np-uNt#t-x`pF_lu?D>$baaW+!9qdd3KTwC?i&#%U=Gx1oXC!u1`~-iV26%US z5+GU;WyJk*x=bhlcM{*chGv0%#3n0~sPqeV`uYR+F0F@7=PdjUjT1lq#aUW{Jmic= zOZ()co=z{`RBZs#w_jRI#tr1Dvfs;;d*f=}0{=7bVZ0Kh9#)drUX=;LzPRF9XM zrv)&>u{Y+?nsly$BSRLpAou@J{#C}Hm&mQ~dL06=P(tr6APMWI=;(A<< z5FDq-WYuHL2jUc~U2x9NAu~!9o%)@K!o@oItF6-n-TJy@d zY0T=ND8TmJ3$ralzE?%UFLSRdLV5_OmwCtKKKz}YSW4buBml^AzOwiYx2}%36+jhX z-5>-L?rMgI153S*6JpR0aQJ0xRsf@SeFgqGv1BrBKMu%tiI>SU`?LFAS+2B4d{3Tu zMwkOnk_#!2xH3u7ED-p?O0gAly+EJ5Qt(Lt8ZAAol7*u9VJIWh1`6Vfpi>wG6Rhk5 zoXK^CVZf8pHTAMkxk~pSz6}c4_hLhOguN;z05~bNU{^thq5}x1 z@a2FXD$2ku{Vh6nbwU&~QIuJuUI1ajo{3cy&Hn$JOp_c}t|k^_>gjifsy=JRM3 zz?%Y%o&fNB+!uY8rz1Vr6t*r0*18-xK})n4;L3>H0Bdys{9PKGM-d245UT>1##6rg zjy|y!Wc@5dzNB#Ic3&BmUQsB3hs@Ow+4%RM8w{oBR<_g7c*;Cz0^RL~GTd+60FOJy z=>E6qlOTIZfks<%*L^r#@zgXQ%B5euU*I2Q+>uPl!|M%HBzmtFLI4I@ofbgMVu6H2 zUaw31J3Xyw|0zQj0TNE{o@L@i1F#_}btPs>oqS#?X%B$ENPTAi4P$~Jg5{VBA%_7m zq{ndYo)!geSZgQwni+y!LpKfWe4~SrFXEi)!)TpFcAoOnQ~jeSKkP`56qkhq%Ngrq zeQ+-+v-TYOTbhKl{6h-hhc0YL*=LENwXGDVS>!YWMW_;1y>);r1$HNVd@x1IYb?Dm z_~OoB0nm*w;eu8(IlHy#MY8~&#Sv=2q=KD~yz+j4hWpKD138}rU{Jf|;4&gvRnQQ0 z>m%bLpmtVZXelw|4FzcOx-JQ*{4~Tj3Rt{?@*6#j@0<0%^8z}{kWWcik1Ul8!!^HT zjcFN@j?Df}rT)0)p%|^qFX7O40wZ$jr9dCgAP^ATE9kzbus|+ArETB3rI(wsfP=&8 za!JVQ&KTjebSs=u<$glMUVGeK0UHAa0^I0$! zvr2+Du3!L7v=0=fm&3uE{O0F&cUoqf1W!>u&=nWf)fq%5H3C#xsU7>X9CXIrPVIe$ z!B9#h7FxZH6)(G6ef3PDqxgotY{-z;mYM z!%Wgc5gucsJ5aYACWhu2gL`z`P}On^gZZ>RA!qSGjdO@fd$}VNpAbA+ zEQ<&ZJAfHHdpodiich1lMmI`m9kdFu_2GJ=KmO@@Hi|yv$v}j3;UyV1&YJ%}(H7=~ zJ?G!u3W=w5#`vhIPOBIzAr`0(moa9matAXQ0vl9{N(Rfm&;poN-Lj3)!m87Xk_7HG zO@1!VQW6N*gP5`Tb`bysapeER1nCV@rOUpOLaz#{s2%8%4~N2ZAOzv&K&nqGg1zi9 zIn^!lV^%2v_IUe&0G#hSr47UZU0E0XHQ-%TNF0n1cVEwGp;n z7F#dS!a9sG-r_#^f!oPvq6PGa!s-Gjsg@=7Qw*9MEph>t8)&cKWbm2X9$5pbl-%c6 zIr``?dh(J91E`3Q!7h8(&Yyj{v`rBdUhcr|8WS2e?btM%P_*pjt`;|-B2X+b6)w@a zbz(rmX!+0HrvInkb`|^X`vbxWki_PPyJ2V6qMwEs;0}blVMHV(1f1%ml}m@2n9QZW zf&ry}q+yHWc_7zg<7x{aVTD|7+Ub_Os&p0ps&oN-dC3@5zZ9(Jo;|Y$_WE3I-;g$( zO)LRH-lYZ0s~CN&rD;sS=mikLEh_}jK?V?ipMDG)&F?621H^r4H|*Pr^(aU@YXHyT zN1#jmP-_dwQ_P@6W`7n0U2pGjP8Da4Q3ud?L2?Q+behmUov0jAsC+y zxU`<-6I;BhAcF$!_g48JnWfKjG{@YkMTdL9nEb|a>smB?6Kxa3ElDwXXPq}G!~o?S;b z=~?QU+^`B=I2AXvi-GVw1vmKxVCtN$x;sWXNDYT}FC%GkGrOCfT9^Hl{BQuUyj@Sv z2rAPoLfu~lvRrAfUxB=BK=8eP(I zA;C-ce2G9-LpZ=qY{q;!4U@k7Rh2x&oBB*({w9CQeqgaa$N)t;K2(+0@};Ie18s*xR?3gGBTw|{n{1sWB#`d0n|?bxzKD$ zikpsd4?ibD1UDuOX+wF<9snIOU>gL$Q`o7N`3z23){t_HvYG`eAIN1U(n$|PKrFP( zc`S?NIIxktOCAp4<@`6^z4Rpn$hQ1LsV|X1V_No3W84r_G>76u0;S3>E6ZFvnh>>)A)tjBl8z!Es(a1;3@9Go0i-UH^^$f}O49I(0ixTW)&ED= zmxn{$w(r+iLMp~q$!;(vOH{H;wiyazH})mj_w1ySERiv`vNIt&*_R|s2oXZ|eP0U^ z{qE88yif1*et-XTIF63vBCpo{!p*3qXgGor( zN)Kw;H&Bf{B}?jz^?OhoW59p|%xTjS@JK9TtnC0Jkzt-68AFK8UY19Xq(ISlw4k{m zdOMt=u^&S)w#i(Bf?o{yn^zuML8A@X1r2J(x*-}X>b1bEn9b*#jQlQ2;3NXm!Ors{ z_C!r4Wz8l1j&;KOV5N2p5g!i;{TU0o>)>JL(@$2 z;J#fv)M+~Ri%DvyXk-J#Wkt#32$PRGA(9BTQk@NhPkoe;?P@caz>=vk;1aqi z5_*9iUPbzjF0dL#XvTt#{%poT5E1&Z*k{kO4L3Ql%jWK|#1|VYbmcd8-gwh;%4@+k z^HME~J&13G`T_Rc5>GH2SmL$o+4jZH5`>eJPC^?vLJ_+8cM$@d9|b_=U>K2=<>=)_ z(kBuzoX!4mB_)*$hK&o#ZD%Ou>SJ{E(yFn`i_aizjG1|T?K*M+tw-Rje@(efpA2Nd zULJzV{@1SSb2kuV{`UigKW98M^8gE)__#z!5;%#OR@X2?IeB{ng?D%m_92dVzMVW7 zJ<}fGiWzt->i&J#8c=$Z|B){L^E??4%>+^S7AZ7k+#Rx~J4*HacJwaPF1;v~k;{?=^ z1><+!-%5!$GK(agBMcjAInIYhJJ=njm-K>|?XFMCBv@tg*9M67zR8t0wKpX#! z?FdhGvcx~2J>bg*?yH|b#d>m!3rJ5iD`@~I={5P;(M;bAKslTsq+%eOwNngV;9%`N z78*1!92X;#e-$HENDWY(beTnnrF%1=jTKX(h!u(_2PDJ_q@A4~G#A4)V~p&G%m*lL ze@`-0AE2O%(KWnMUw-psR1Mp5Rvsa_+j5i~Y-h_1bx!yB_cqr+UP%@r21QIU* zE}+EziM>&>Q8$RE603oBAqoZy!1feWdXP|b^g_g*(xtDO94?TN%EQpwsRfA_o`%vp zoCHY!0^x8foZ>pt{huW(asUpzp6>C@C&EhkRt!a(#UE;fPFj*QpO)nL_Np>{Dj9e| zfL2FvXf_o>+?)0F!}%iUsJyQJ^wzQjz(!lIp4$&}INUJLkKQi>d|uug+WLB~{1KfbLJd^@z1X5T`m)PXb<}+^J8atC0XOwbTPXTtj4}s>S%r4;bc;E3ZEHPLpD4pI=#P)511Uc*hz% zbnt=1H)qXM3F4VI{(Vh1_BwybeXr(!V224EIE3_^&)&?+YGs3n^+SGZLJ{n*g!7aUEMr$)%i*n&_TXeQC zU3xwzIj5-D$KQ(dxFGdmAS$N<&egNX4-iO>VkT=Sm{z35Jy zTe{vO6;Lo>dhnp_!+Sy|Ap48r14x<`qILTLsH(i^m4vc~i7`OM%Nz!NBSs&ua+HAB zgEU6n22P**#O9%O+=H!4sO4Mjp?xv0kBo5plVxWSF@uZsMkMWvTl_}1X)>P5{(YBz zVgY>FnTn{Chq6EkPA`zT38&Rq$p{DjrBAT%ugwz8{+_h$?b!&#naY$$j==dt3XEjc z=@|~k05a`g)&^t5N8x%}o&s26{MJ+h*$^olx<${(YEI>w#RtVQb0s%A5G+olm7M z-F1k`zQ+f;6g)OAn(Eb)Adx?GFiEyhEdzYCCrH$luN!M)GVcM8O#e6s!Kdr{KWX~A z{0U5rfnHjbza&~ad@QEy+Ue*#x+k*yP4#qcWahx%LGWw#WKAJ=#x4N+nn1E`1cYrl z%;NT88R5lm{LhPncC3<#QeL_8DeH%jO?RINt7?|0NI}K?m3kW9XjT0bp}20)6Zc>s#P_o2sunV`in7E;&It#vv!YnD7yzc8k> zTqGouH-X8P$zdING^S58%_`=7=h%D(xE_TDBKAp4U`R3w1s)Y(X)|(WkMdDwC=?`T z#iAo1c4EsOekn4!>0|D|pusrp)}psu* zy>n)snqlB;tVMp2Q=k5zPPi=*6AL?oQ@E$&u)5@ep=|SUR|+PP-m5Za~r=Le0E>=IWJ**4uCYer^Is z1G{Bh3CJ6RrD&P?!t@dV=XLbv>K?^Ao)Q;6As<8_N!1M(S!AvdmHG*P{4T~zXpuwH z_&OMKW#FejV&`h7W;f?xh>uq9AgwZ>Yn@0(WJUVLv0N61R=pV95exrkpUCo|;@!JOS+lM3v42_r3TY>|Q4hrp|xx7&T zE`LwXFS+5!=Bn*vj;*t|_qLrfPΜoucSyNF^Dee?s4i){c-W`oCH2<6~tJ^8kU^ ztz!kGE3nYy?L9MneswB?Y7+opSs~)y7&_pV2$kH{f)a@BXFF#oo{rd7mYw|?hPuy8 zXyg;MR~2B8k_+k^#`0o z8xd!#IYBXR{*vY~P{ z49u^|lhGom+}68SffWKu+^>*sm!k9k*PRLmMZ{SvyeRi7jVAl3Fb;L1)Q_0`!%v_rC{74FT3!6m$jL{JTE~R6d@| zK|k~mdHD%!G0EV$WTaZnpI5vTCe3)zp}<;l5eQE39e1@i1pfn)(8&JBut4CiSRrL{ zteGW{ZHd!#-dX?*lHT;5Y_vDk)P%ZQ+V_h;y+S4=0?{H70r!%g={lH@*@ue*duHwr zc6p#wt3v(_xj=m+f{ZnKx?j*kl&S+?CUMR35Q5~fTnU+TBt<{%eIi$P5|lDv8glYD zfer2g(0@bQQTBVcuIs0(N?7RtWqF@4TAxFnU$IK#kDry`2&Lhi}@FqBSv}qpW-A(RDav%SRpwysXg@# z>?D}_EgJQ%Q0}1&aowj*O3b3&+97@jzZ<2(x;p8365tkDG`K)!(N_V=@{)0txgRju zfcpgBj43wJ-$shSNGQ|0zehs3ntQB{y_9|@Sz2oR<2B);7Hhh`2ru@e%GR9`t0*+% zuRDR#a(`P4pUUimEeE*#N^|mSlnX|_2k;BTvfeF#2HrDYUKae!!3vd%NeA*Uh5vm^ z07VxtZ4+tkx}>LO$yksC2_$9o^LU~ZnfJZ(7f+2nj|0a+UlgXEPF{;yuk2Ekr_W?}i~rYm6MkIkc#60)q^Ee3{w zf%F!lcr0i79ta*43`q_9EEeE0N?>s^=DkE)GPo&G)%#eIO;hWRo?eewp7+~_;?h+V zxTLG?PAN8RycARxHN(WT(bkC!8^TA1jTN4oUSrqUiVF(Wm2aNx9lP5Z|DkP%pPnOr zX&}r?^63Fb{D{@wdH*@vznx-)DAOZ1=`=$E>gx4IxOOujS?{rF67H6T##?&oZWuH? z`0$PmxJ9x*m4f@JYo{*X)y+&SDFJ(>_m(cFE&<5xX{r)j9r5E}s+C|*t8)P9E`xIb zlT{zXnxd(DWY&Eq--soptryxO>o-k*UwUlxqemE4M)J?rAD-s^=fJS5i9)=15R8l) zStiS0nmjWLSgl}*4@-o^R{`M6XC^`R5sV9NB(7z6re7l$t@4j;E1Id#iU&+%4k$7= zyTCXsIiM2QUkv&nsmUx-rvxALOVo=mdNE&KIOAD)1IcXVjJ*_MnjC~;OqQ9;HGKEu z@_L5u%{Z4om!SvI{TgqT-(YY~AXHt;bfDdDtSR>Uaee%0psVM+?dxD7xRsxX zFKJ}dq(8rrQ>{y+BQ`7k<}8Ax<8o~@;a;pPy13i)XsnU5{@J#D;^H+^Hta}*>jnDD zZO_JVVLU4QQ-R7iQr_vI+MTnP{zl$1#CKGH*f>Z{`D*{?3^6XoM;&`efKKp$h%uaj zhX`%V(Tz4{FNCH(6%=WS&jzMaEG?hzG|mOI#}xTXUcdrD6QPAJ9+!u0kyAvIC;m8p zdrLw$HE~AimGxiKx8iH(onx^s(2{+_zX~^1pgD~b;oh$}E~csU;q{hDp<$xt#qY_b zC1iMT6Zb?r`RUk^Pfj?Kb>xmx>H1A^^EZ6g!3Cj7AZQWmYJEc!?m_2eDie#ljy7-} zQqIeX4t1Dg4Y(r9{V~twMA!lxF7pl1Q{H9!MUqaH-a~>mymE!{#moGvj8T2oN7tu~ zSuQ@G7=F;Ycs${YN39@TZLw8vv<_M=_Mf}9nJCt?PrnI%$Z>WfdXx_74o%78%6l-O z^s3LNfC8}k1Xy|dJCk9t6<~RhB1N9!gSYM;ydN-K)-~tj=r#2_iRmhm@07jVS9Evl z*F>Uu8Zk`(hwqi!NlXJHLza9=N%eEXVJrb!%SCk`H0QwVgVvcBZXuPA#@|K=95T_u zLtI>*+muA?_-%_g4vz>(l`rl}7tPjq*wOrY{ai7s(ShMMkJ4~gV)0l<92h;rkhczI z|D3Qj9K1{Au-)(=_67cUV3~+BEya>{6AOa=!m zNc#Z7p5`%u@`J2FlrCO{=u5K7S@j}HiS5f= zjj&~zUmJ4;cRoCORvyHgQi#9W7W#I3CEIXs|4aUSqkI774&_*7e;9AO*3S*ju8}4D zAHyVtkSA>MN_v6$eng?9j$>youaS{lC5nL7XW#!O{JMrDd@r+9xDVc@ zy#(GA3kmvK+g10o$RX6QnE6yjLQaw$d%>GEoIN>Ni=7R$XZc z_(}89bKMYgfkn|>%0j39P}wNoBT3wfZ^4DyBmh+PKr;%T$pyED0ZFJ6UjsnVKp&YS z=px?bnpM(0w~!`xJ@koVF2&UOl|OL*^nSSr;CjWL?WV$?uagdzbilL1}7iNUpd;`yWq3mujBX9kLZ5+r@mhsY3_sX<=TIh0<&j=3nRm> zBp?X=%TXu>*!*kmgoHMlgwv(R)*#@o-9cz;E*5 zwVuoL>-m%w750q3(u>Y~w_yBLEdwt()5}rew<<9>{m}l2fH}GzBG3-|NH3)@r2Zd- z0a(2=C+Xq3zkv7shHdkp(o;-hY9{Rh=B7>&U*fvJ<-yfbhLt4aqe8otVs1M|c{%3g zw4_#l5|piD;ji~szTEvf*x49BnS8Lvk@wl(rsCH()%>!G*5qGn<7Hr^)x|aQ!yx(( zK1^Vkojl$*5{&(cf{n6wRQC96y?QwvIU#v7#{X3RkFtP$Rdvsi3ag|2@i(Wz6r1k` z_2B{mjv*jFPvFMU@wm1b|)1U?M-HtJRMa%uQu_~_weK(WWKq20~M_OCl5jz6mn_gX4`vP5Af z0*97?^drDK>!SiD+FjO53^(r`X{!BkV%|D20UG%^`P8#bWiW_|$#*m0=v2UjAxHhU zbHAbt_Xa9VKFW%VzoC`tdKYrDCyMk())jc+gzt5Jbi}s*KGWYd3JA)y;Db{>mb0D8 z1UESDCxlPlC*t}MNg8ZVnife?&MI{`5bBb38i%VX{59ymFaCDA9tTF9Dc?V`EgYn} zUt1KtWCSp-k2-wZ9E6Gmc}=Vz#VnYrI5KuEvg*CP@c|vru9cPj&UB>V%^wTnhnP21 zYZZlu(*cwuvlw;8nqaOzb?LL*q;#}L;tiHOJUY()l=Gv%_#d45b0p0(s)_2bcY`8D z^fe)rqDKZ3`b%lw`|2^Z%xE>}Wpl@RYsbU2byji9k6r$=i2G{@f$1H(3{}tHNg20J z7`juE_-iNd1&dkn;GWspTjB|SsU?PS4pufePqe>847lhUyAC@~#NCa-Tv%NKLg9ODn+@eCW zWOgA0qx?>CmGnG22=--{1oqbB?g;$bk2I;pcaGgmoxaWawmT#6liyXE;pH1ffm;VW zYHOFOWG3Age=)t2rZScsth-Yr?3ZL>bd9W(pc!p3gUgi#Ag;(3o1RE$K!j zu~Np{Z=1n8-++W_z%5yq;NJsU#=!?2dpwP}7 z;|{$9Pkr<0DtIuM+FH<-x{_8Y<3&ABO~*t2f+h*fsCo+KvdvOQOAPn>Ewa4hJa?`g zsj}793RukNpZ>n;E0;Pzj;oRJYT`V%zR|z#+uHTkr3fiCnFoQfsgDsdkXLMVb667F zc~aW43rB_)iFsdz1ETGpytR~!<7cYrblNH|Yeul8mHtH(J(bC);n}4Za1@s4xc*-H zjmO(x2g!!JD}}!lXiqs$rmudvdt)+>&xkx^E157yt5h@E_e%CAAL+FtSJe;}-y<(Z z|IO{|Tg?LcyUk$(#9H|CeNXRuG^Z*&zBYG}ahK9&rZrYHx9Q#Ij=zWrU=9d7A?7Zh z|3sw6X0QIXgTs)|$}5WXHrn1<9qKPsCbs?W6@K_tc*1TzBYX1EJgH2mIkhD+Bemt% zx^x=rVi`mIfg$m=db51W_A&14D5|ovxg$D&Qw*_FwijMuyJdRMHO1FVmXce_WDq%EJJA$@A(?%dLAzR1Y06b`vG(*q;@t4W-DFOp7i2Z8Bk zoaqPuIYQSIPjo(@xJTMV`@_lXV+%d~>hRq$2e;kf#{O2jjJM;DE>=Am_FB7Dzx=BsVTvq2lQ*;Agb3F+7$Tw5bStON?ZcK0LR>BITYFL{(zYD|VJiC3s zdatDWiGm$;IlF%{D*NeRmW&>l1Uqly&EmTR&&%o3*HEkp;!(Snhff^{r=%O zwU>67adREN;ErZT-_PDf?`Km1YJ0Sh_*0Y+DkDwHdYL0~rwT>bu8e`nYL6a*SMd;_ z2#pBBqzui}tXHQuwkI9osG_4#%4c)3&*byPOE3*w5i&bem2fzWl(s%pm9nr(i&sZ5EF!OqHp6oY2^M|8%0_zLIy;-=X+`Eb;6~Uf5vyEDD*9RlA~R zSlqaU4Jt-M`9JENq)gg;a+bf0+RD0fkrkmDt3&3ZS_ZD$t}SjR@%rf$>W|NFL^i5QnXVoZd6FAH`g#&n zqEij<_Zq*X!F2Rrzj6{Et^Yk5eKkqh^^&!B(%Z`;PZ{5xE?8Mx3{&V;QOYOxv3qv8 z@J$87u&1SCSzkbL?C>x`{$sb35{IIXEFXr(TzOP@RFYHaAu$;hC%;@wx0f)@2~lFb zxV-kf#%St(y)Pddx3%v33UqsnMZ3R&l^2kok9FMro+9vg&34tJOqw@2U_7wv&Yj-H zNmDT||K}0AyWr0y#pU>UzYtr!->#qE_aga@Mro<_UFR#E`FWXot66h%Q$Mx_6V^sP zt=^BttA3wo9UlKY)_u@IdXh}$1cd6r3E~$@sje=GVy8~!9J+CrvHavpTAcGcSd8uy z^-V_G@>*6nWDTr-h1d9TmpLq!r?)D1!1*rUgIrA+u9l3iiSn27;W)Ih;ay!i=jX~i zCpz%Xv0hoxr~7KFm~u`&IYtG$MXsSdZ{7JZbMXh`3s*k;5NtFy?(>^D6Xf=54}1R@ zufZC!Ge`OgfxRqE-1|wt&_QiF!vVR6!b}Pt(*xtwH3v8Wig9hX10{w}R^A&2!{gth z?FcJpJpo=Km7KV%3q9X&jcVmpiZGh1h#OvJu@*nojXoGMvRRk9oixh*!>BL^tCSEL zG%$C{+Gg3vX7sbapK#e)0p8B^iom7NsX#AX8d5LM@jwV(wLEx#5e*k`O^}a}; zTei&%X7w%3?jBt;Lq~|idtS6bqLOF0S<_Nmq`uz%r^xS(;XD7lyh$c;9xgFi?j|-5 zrwjA?!5(W{rj_cJy!u4etSobNYGy&nT_Lt)_N6t70$C7y?`=67e&!A>mlxZVUUxs^ zc2Vw-N+W`n$1ftiADVwpCHDMVwDT5X^=;3Xa@~`(%srtpmnppA_~)R*kmNlTAA!~0 zx9}$0;o_UW&kpN}z#gh1bo#@Lx~wVl`5u^R+o5h_jAmtKg5D2g=JN&mWatm1EW8KJ zpUc^16A}aULY0Uf3g^XO`7f1ye6Jwf_sn0cRWS{Vvq55R2Z-%N zE5R2ZqteYRb;{inCO>}*r(Dx7FSAq)(S(i<43xc5mJbcZb|{yR9nckc5^WbD8p3~k zrsW|zJAv>siZk(kZM*x0SFOIMUK4zLT!sIg>8Z@xnD(~aZ%wVdDr@%&=@P7~Q;4=N z{2f88pXg3@TIAvG4QU_bghsZW3+uw{nmfMtQ3Mh1afz?SL66UwyWl0l)Vo_22JeH` z2}HlfB4CDofgbfCUW4MB;j3Y^JalIa_1@JSZhWbh)VAJ2`&86ziy;M0Aw(n(2RfUT zs`Mt_6gJtf%zb~juOp{yT0x^A3Wpa5{~ZTH5MDVKd{a_IChmg?ZHnW$>k+?0%cDdLK6GQu`$fTMda zL`MtNc5tLNXS&XD)u>P-Ra3&qQinXhUNf*a3XAPcF7R?cj5uq|T^;b6eOhiZT#>^1 z+kJCWsZQR@_Y?{{m&!&Qv3N{1n1EcNnK&|#>|pq+`R^3hAVX~Mw6+&FmKGAFZf4vT zrlvgHy}RvzxnAF)+`DNsTG5*zjH1_A?iwA@NYBG=;6@C!6boi+={97HU%xmfd@lEi z`KV%=OpYgUdjZrz#5eQdd)QOQ129nk+n`~+(Y?1>13q8JtC7yAmn?ob2kWG{hZIns z+uCJc-pX?hwNBm7;L%?gu+;z0clvg_p&40|RB`hDe17n`&@~KN*=_u0sI|A)L+b9& zBaXQ|QA4BoflQh4^U*UGVDl(s$Fj`QczkfbG^v&^5e1Hyr+)f;z1n4Q)OoGIUgUv% z&(=4Qar}Yw!PmW+x|E+aZu5`MWt^|dF|*JLZNnNBpRB(S=i__(i0JRw8KnC3I71V) z!VRx>oE3%Lah0xIsMWfQ%chBwo|bJ|T+MIPfTG%%;4rjW_TR zjOeQQ%&*On(bY!M}fdlzZb~3e0(a@ncifW}hpO z{;$*=SPWxr=FmZXQ%&vhLaf)*S+8BMWw{qsCBf;1J@{Np^W`Y{h~(<&M?T7<A z$Sckw1!QVCk^5MYInz#NL&EO}KApj}@%JMIk;E(9QImBUvYCeqfwbW8PSuGyyIVXy zM<=JSbB|=D3)2O6K0N_T_{u>4t=eH5`7dp2bGk9-YHBd-@Y~E_R z@rL3%roU6jm|_D8Nz0KHr4B`|tu=g~k{`P`h-&k~*5II7HOry`ZJ}KlTgEChbhIK5 zmn~VerEK@~Z3M{RcO%6}P`9Vw2dUF|-Z}kych4(AtgLb}o<59-wMvrIR0yf%v})(E zJ~--n@5zTzV>DqL$$zd3-*n;2suIZA9;lUo$txi5-?BmG;O^yoaUY2fzUI>hSF^du z!XN&k!BzkFGG(I4aj3S%wjlJ>)!n$IT0DJ&eKYNwnA^ST3dlXww@O#fRJEqX+UyL#5({I$UOH^0$AAQz}j(2jCY8`*j~4J-S+a$WZfl&dmvD^gV( zF@xspZ$sklmJJMi#`Q<>;j0|SJ|A}a!sEmp%PuW{+>wG1@?!Sb7w{pby8ryX_aG-d z#?UvXX7%yl++tf%9y+FGw|qN}s9}|HqZLA4sFf=r;aD$^@e=gZ8b%wXnP|ZS8$HXn zUF3l5-v)=*yOR6QFWbOFUb!8M!&;~!vpKaMvsxF|F{ zr0yr|j#tIF#R!B(F{JjT>y>lMPtbnrAT@Ib zyxcHp&62qgZakhc*SNsQ#PZiO`xH}G8=7?BNtfo0u)R8<3`L09%lk}xfUBpO;pL2I zJeJ$(V<}?fesH2uuV%Qd^9zC}C4X{W9=f;~FLaI(zLu;C5UFs9jZ{OB`WeLt$X}s# z;ba-f+m?kQ3K=!$fN$ap>?gf(TXmLv4X;0S)ni=eK9cv4(^4UXh}PaS>&As4 zs#tC_W^L@fxnv0bmGfj{Hn~Jr(C>G5yTvMmy5ow^)I{3d-xcD|s!-g`AMJB~X@Y<$ z^4@tfBra427YM@OLq!X&XBpnQ`K5`qO>Y{T!q{a~m3;77ms_jq(8D}RZ`#}3H z-U4+pln3_yVsUb0heV#01;^nDl6EC$VHG+D2LK@_CGv z0079@NE^0>S=_r3`b>o_H0}AIDtj5gBIzbQLi`j_!wRL#G{WbWFKY2Qf)hYev-P5W zPfzUU^4ri-fum;QR|zb?GG941{+$rM;2y+4`Nl&ba^!1iSUY7{F?wr74^{Z4Ntvmv zopYB*2B*`DuJ$Q^lS%AB$8o%h7fD*1?5gCLX>inRcc|1sHjw%w8#tXI=Q*?4&xi`~ zgKgp7B#o@$4JP4HJ#}g-iB?!mryDX?svTko2hB?~?h%b%$+hygFhUs+`*#^AxNwq= zTN~A9ntQ03RKYBH`6uU6Lz$nnn2TtaWG%ZqwuUZxWgx$=8jiQuG>G)_dIg`D4BAgm7k@6~ZdKM12iz#NG30P+exwr+SgE17Hc!2m$Q#N)1)@LiIhpnmCx4bD)ar&k8Yi|b zl=a&03ThMLiW>3j$bWDPuKvPjBo5u{ps0Xc?pl&p0RQuCa0q7V#1bI%lf)2e!aM-W zeleyHh^F!UBh{UEgz(=P)^GU^@|&1rS$7Q72gUq&bF@8}F6sjp$S6Ht9jLacJrlXpBpO3OxzB`6asvrw1V(*jz_?1@aXibyH@Q8b#DG2qy1jC z^32$>^n+L-RN{*Nd_nJsR-)$+{ns+?2JouVC;$EBS{^-!wQ#rdlpc&jr*~ntqHd%# z@gfg;?w_B`*dCZFk$~Bd81TRnzzJ!K4U1Z+#dCW6KmnNIF(wPY5V^^+RRPkbMFSCY zGU#X?9Qr4o&MOE7GSTZ%u zhc(e78AM-R^+D+n)Ts-W7(1%UhbIUP%GDWbuv*fGe}It}@(rjE=vVOrG-`%h)aM>v z&L8Td40c-ZikKtc_{XqwmN+?v0yPv)-Hgx`v|}=>I#jWfaO(jXk>#)8lMZ;+{;=m! z8{-s8Z#6j20qL~<-B4cuJ!R$jD70A+CsPaoZd`h`Qx7^fBnmGVnUC|-({>xvuRya4 zg!Ex!W1tnMl3!|=u%nQ|q@K0)Bm_jl@NY!&ovJ8h<{M}Div5Ao3|uri3w&6gdFO1N z9xvs|r%^LT`>0E?l_q!#wq0x@0)P>6w$Sh4^YJM$Ub>~Ho`bBp`A60aoP?6$<(fYr z3ve?w$The%Lax}{QjWK+O5ZFpM3#2cFt@BaS%3NEB)k|UR91zjl1~`3x{JqA#orhS ztT9rwVjfu8d<9^L?;kM4q>{MHDChlvGcjj!F6S2RF}mb{Q_Qt2w%<}YNYQN!o5ksR z3VhEIFJ)9nwIiOY%818oQi*07r`41(-G}agD#!rx#tQCXbu&FTjnUjoL~iVQ3_U zD$)Y?5y|KLAYBWJ!`ie2XVgZ6gXJ-mb0`lE){_T+94v1RHDaz;(bEQO&e(%0w2RXk zTy(wOJ$wF56XG*8e?*|C- zhp*{v-Z_R0*^x4DNbWOEWT_tar@lTV83PSIX`XNLus2dTe{!OcnK*;Ys`=3hgCb4@ z?5vs`JjYQ+)RhY4kQEllzYmimH&tLrVXq?`wp7#~6_9!OF&UaL!jWYmQle~7>zNZ< zV}ILTEJLp1S?5Aa3}4PQC*`CH-IDM3$0RU_lXIqJQvvI3aJ8|pdp8^>8qc5AiJ&;H z?T6H4r3c$YAfYI%fP>>=EF!s1Dl2GSpGWG-5efG~a zDr;5f^usU)q1pA9d zoq-jnG}(llS-(8JVYy3;TvEjfTzx)&V6~<=93db_rcyg5o!7Rv zoB-nB(!b*1OCYG|0^{DVrfyYnc5#!dhV(-dMxz_)K8HhS9F>{K@iS{d=n@{+8i0bO z+s=$9stdjBeS^cwIlD0VOMRJiv;c=e{a-<=axqYtgiEYbQUWHRL4lu<&#d~Y+B;N= z#vY*9WqO+1aIwz$c{7F;i69ADXaPv=nj>i1HjsI!wC6L%*&wlUo4wOp1%#I8KcN-R z3DHIwiFF!YfTiJP{GkZ0orKICJ-5CRw9A-ZM^fbs93b9M>Re83Wsp=pqTt0@kIz78 z?mQqQtN8y;R)P`4nol`>Q0$$C$`uxORo7}~r{t2c8_|!^>=`w?YmKwv(1gMK&^LWv z9lYRld3>?-Hf}q!7XP(%^GkzA!2=Lh6s%`Asc3m_Jw7P7ozIk6OxD7$&opM!a-Vtx0IuK>u|eXSuhj8_W9kZR8K=?!OKI)c zp|RCyz4p0h?aL2NuU)D6DP$3_eq9*SO^eo8a~1 z5|GXF-;HwyyV{Gd#!0WIW5pbqmgm9&Bbt6N@XmjU7P-bWkGnx&ddjNKgARnjAL>4V z)yI12#X)G_Pe{Ff8@MfFB73}34e0;IKML{<{!qp-t*3ALy_Qu_$b&#JM|<1CR(@Ss z@+e+2RpfGc??}>$|7TQ)CYHnt)lNtQxVdD}jLaak&}+6CiD+fQfo+Zb?*prLEl>@m z8P4O8$${tW!*b+;b91&IkP)EfmF34S40x4i&1d4WKRr#i@Z;#_Ay;jyljt=30c-0h z2OLje8pzt$Y4c*3a1gu@u8!&H=?oF0T1EozV@}SKFBwY1*A3b(rV3ejR7%t0TGHoe zwOjhvD~*@xV@BQP^JU@ASf4$xQhq#V?+CfN-OBUr=9Uz&Uw0$f{<{>U8bd4@P3SIF zq0w&RF7x^C=hJYHWzpF%Cc4Y^7bfjZBD*llFRQXFG=`V<3WWTHVRx+n*X7k!TG}N32M+j2e#0tv8EHzel<$BjFGDl2F*OT_4>-=@yxP3 zehgZH9|6<8Ewf_Vw8&V*d7=+UTE=QrQ<5n4| zf3oa_;<(IjF&|WWMSasQVH5iFqf;!*g}b?<&_ZR!bR^1dW9)*PeluQ75Dtz82|J7I z12Jk6l<^?xFDizX2})52VU=lAPV;>3gDx^=82Fmi*QHuZd{Y8UHAT+EtfOt!fn>!O z3&<#S0s>3~O{&FBRLD=x`p%C^u$%A;?YhotWZ#fr!6_38-+=j=I?#Xns=;|j=;Rf` z!>MVU7){_XI1V}=jZ4O&2?Rd)Ne{Nxf^YITP|)9r9#kv=scZH7Abg#eE5egfl!jW`6)cv|4!p;*XO0YJA0*# zHZT6RR~vm`$Sp?Uvy_2sAiMnEkX^=+xN&8zp(#t;i%?3(le4#DW9_Rxkx7U2M}2_9 zePL@K=upT6_4Km_`eSq*m7vG&gI)(|>GE;B7X4QP+AsrkGD)Xg0}XO5J4nk$A2iZs zIfsdA4hGhuC3-;kEUv_aK8NLSVyfZ*73w~zZ`h3?`b_HS5+Lx?^2-at`9CN9U*}(i z3s4dF6_A&QutK1R$D^mx-N91C+gay;yqD56S^;Vl`MOa{ zP?g`$0Q#RKR0~01Sw{Ds9o5nDWLPmj*SAU=7nmQbQ=zb z9oT>Jaor;Wp~C|scRj#(ZF3SAP=lk?$!rI*{y)s_`EwvdHN)jz97I4zX1PU6QD(*= zq0!$^%C(vPmCLdHQ0{6)g%BLp4s`Qk4x>C^>uaxxzeK=jxu>rj`6`o9CV=n2M#Q|a z0c0e|%I>tm`9tiqD>(NS)C<{z&(TopHT`N>3@2SOwtQPjGrUp>C{$Zlv7?`JXk!xe zNO)|9w6g(EQ1Yq^gYejzXu3xvp_jR53qo;;P+TKs1ta7Fg(zPeUWz`QaayUC1VR-L z{`B=7zy*&we$5YHk)%{b=ES-suP<9Be8oSmJOGko_6hY8pXIqu!8$7udRe|rANCBn zAZ1S!SK_4rW>B2ZgOBlOlW`{tuJ+{iUg)%|slmx7S!^c)+c;BYIfgW*!l5rm-m9ix zf_fx%8GyGe>Uhec|rOzfL{+&xj97s(+e zaspr5^Kg4}T^Qvp++}_v9@ttVz6+Buwm$Ig__41Ek43%cX9R-%;C8Xp&DCt6pxQXhkWwezUIs3D>sBD4|V z1Rg+LZSB`3TAssF#)W8u^F))=??F*bBF@7OZWQoidc2k=AB|{~>&qWZT!XvaZC{d za!eOE3&mjsc^$kO5WJAT4(DIVcu8lZ)jm3H&Z8^JL(KZ=97qI~SEeE`+RC9f5eHo<)3Yf_Pc=Q>j zO&RV~nG0mbzgPfwoWhhsSSy!_blV~b_BsQYdTV~^sioT4TB!TAlCu=EO(H0y~0#b}pc0lQ%I# z*Nhv$fSehGc45WOB!uF)z0yi*5Z~pxncnto8E``jZbN zX)SOV{zpNIXN9a4(Ahu8$4Tt*>mXO)UR%0SG^e=Q+0CSp$8QgZ4Q&Aklmp|{1teev zi2^(!)tD@Rf|%8b4rErHDC?GO!aEcF#q+jAfjV1@nn#5QqgD`r1o)+Nkl=#U%ycuz zzDKSzuhyMwUleCEqzE+vHVOTm*u4BKJ7j(!Mgy<`t>cjK3lOU8#~=@&1kbLrf`0JU z!5R_h2Vb5m1Y9ixfGhrI$d^BL)(=TJyP&=WVyXgno^RuRI%k8wWgTp0g zc0#BER@LM7WN6r%lMY*++oPaZ4HJsh89yEFS2Bwf8s8nK8nct(ijNy~Y1C{dB0ATu zmn*|Ve6b7l-(Tuh&t7jpGDjJ(fgRK1D{ci{u?08`K$#d)6%uDy&)Oc){l&Yt1vcn8 zcq}7yF!Zc)Ae#Dv(Yg0QJ%}q~=K{&uC&Hm#a#&fKZedhjyyu0ukE={RC|OvW9}L(5 z1#4?Mv=_NU#HukXhidImFC;QglZrtQJ`BN{6u}u4gAf)z>V*}O!>o)hBlF8 z;nzTFX|*}EGOI5h8Aj;Uz|NO5D(qd&Xpqb0s7RXg7ZGy?3MkG44$Jw#1MEFRxL1O; zk>4F33Y-Ipn!tlaajY*srsa{Ge7)9baK68IMv3a)Wdc(%tO`I@4#56{Yh8fbr%kFD z2}0yJg;*Mhl-U8DW`%pxh#;D%n>J$eTOzI-Q-bi}I1V4(Kf?z!f2a^&j;Of;;$0<| z3RFq{OJ6QzM{RE&gyt433O(fu^_Z;Ax$1#{ZAI5=!7udhf_c9HFmuI&<=s8U{|Ar^ zd`+HBLDe@-L+FOmk1=v7; z^2+mGz{~^mdO*^pV_d+m0VyQyxm{Wr)}vbUd<;AeB#D-X z{v3q14=mS@AWd*rQu~ENEag(iCC)Ikyp;2#3?!v-a_)7=J+qM}<|v7>iY(7q9vIs3 z^FpmDK2I07wmcmcSMAuQLlAw@K+_+@0C&V2S=xTT<6?D!Sb=b&K1A)h$x`5wowRoE z@`o?!x^R+dDyHg|z-Ff_gix6P5w8aagSL919%c;OP;>$bjnE`yF9lwXaPUW~axD#n zYP(<42{IlFxmTZnPtZcyjCo5&(vB&n{DtHXpA?>>q*_S$O;iAxrwapk3K!sR0&>sS zo*0CNLP#A@#PU_VVEJ_JK%8SIfni60fQ$<19oNY1-`1HVI@ZSpB?u*@wLFvql$4vr zk>;SJoO~83lgbOhS4rZqjj8|umXSmZG@Lr{YRxx<17&(7M7at!rjG#PzXPVny+aiC za+h80N+=EE$T3clN!wbhPbCo=6IO zQ>5?#a&CJK1DevULlmZI^S(ieo&+u~`;2=E5R%HRm@=_&|3H_M`GIn(H5i7d&yI z3$s*2XCJ`A^D=V-_l5;tI4R&p3v&o`q+<;;iGT|O9+ox%Bz8RE#6DmxA6AgPd2K*0cJ@R0$$Sazxlvl9a} zvk2sMac=3hS0%_9ju1dZe5u%?l84ZYLtY&7?gpyIhi2`M59vu@Ov)fTF8RHxE_YP{ z9ipv@jrA@Adwlk`=JNPLt-JC88lE5k0#T{Wi%T1ohfT$Wx9)B85mfd6Pm@O@-(dfs z+X(M=Z1iwLNWhqK*}H+~PCZ+fuh`qg_p-+SEAPwypMt}D-@ZW@xpRnI*?~tF1WG5otqCck<&n)GEY&~-*~dgX zJ;key=J+e_p(M{Pa1V9suhO5RO37e;Y&e-UlX0%?a%b3F5?_WxV9J>KRXUAz|PX^rRc`a(|bWqvG; z?~VEzos;{j8B~ocH6b)ZhH}qUL=Y0BZ%as;jpDi(V-wP zwMrri9Q3GKr80RAwu?n6x6S0~bmHMV#FCjsKfA9=kRo1?qr4CYk~^ngjt1*HM-;p{DAQxMIy$(1mJqYr0j(dLm?(o03}fe&)D zl5#OJZmNL80F&?!I^!~wfD^0Q=|G_`D1|pAVLGsLW)379^0XP_Q^xGN;e*m9AdBD` z;_X6XpoR|^^pA2PYPW)zbK#V$hw3fu>xs44toA2mC73*e+o3tW&3p&&mtV; zB`|_QX1JIH&AU>(=bdVHsNLEpUq9QnPsOoR(P%pp5S$=#yX5V6kuk^yxaDdou{Re# z9oA2D<{tR52;m}*gxBIBylpJDbNpxPb=Cf)0%Vtd0b~*0h8fi04cIEA83aqC1g2gR zPV7i$e(lgK-gvq)Ql{DKY;9m9z_*>+ptG{OE{nk9kQ+m@B#OBg|G&IAy20i{B$GeS z#gQzioOK|06Y!nqu^<@q31aH&HOMFc@rA7|8?cKaxjXtqeQ*5UoiufK=D&A`H55S@ zz8jLmEk4^dW>=nQVI&>K&+Z%f~^Dnl~HxS~PSh>B+Q%_)bIInF!N1nMnrmpd6({jdO>?tgE|D zE=#2&$xd{TV#*|@t0;1iGl5A6 z(Qtf@No*H?VP>MYFicO1KJAk(b?DLti+@t2i8?I%)l-z}l&#lE&kAr(tp4EFdTAOb4KI0|dBPwUl~{0S70c5SONLovlu4z^w=)n#f; zP)I?3cMk60>2hWBfzdkL$xY4FTWVd+P55;mliMzih|=?y(mUQpW=3^t=PgKk@~Uw;`~68&@F`b_Cx;YtAb~sZ;8-dYs*n^S`6+4UGbnyHwON(pZ9rfk zUk8qOgIW^nG(gd}h-0C===^7(z1lF{ijjyfv+os=b;!ydK@suMb_X8o|J2+p*C03e zUrv}cQLc;&D8mdl`buT&zM=A$M=p z=21j8qJnBzZFcs|n9s^=#)xWj@Q#1IbLdQbu5?K9n@HFPe<%9K{0dp`4UdX{!*b6L zIz7b=Cg8%lca;6*h&504VXs3V>v}&>$d$MV%l6WUVGd$v1SvnCbvLr(C7Ilmwyr&j5EC2K>{3ij}X% z?0Wf!h$2?8AiK;sMo6W~ePo3%8H18>becxFLR?*41xxnFBxf>-ASA0YB%ba+M67pW z+IsbB%8`aTzSsqLr*K~e<9mOn({WF$KnY796m28(T7IUS5Xv-y=a5rH+RQ+9xQCGp zvO!?gdyDf3h-IWs=q1tJW>Bl;YnAU^^Kho!To?dTZZJ-!(DP@YLjCx$l3Z=fJ~OOM z%n-iNgA{?zn*^6^e7R?Mw}vwbBj!eFM(I|Jz$6cn1U2l1F0^JJQw*n#F8_QUqsrG>tD@d)}Bk z7^4!e&NS@W-yvG?C0whuG~XSnXG#t)XkZ+LNv3EAAvL1dlCcQ266)EigdTo1iGO8v z+eZu}_C?){Tu^+j-7H)?7L2#M#m^EBOdkeUvJ*7$@Ur?%k+>Q?3trFRQ>4oob>cN& zw&cb8*uKtj7yfw^`UlkDI&>&Z@Js_dHOVIsSIEMu0_AXyrMMjTZ zas1^Mzyk{!llQzq0Y4bV5We_kY7gNpSc$+7aUmYXSn1ay}@5L<9l?7?k5d3ik6;cjs}Y z-XW2$&W31gGpKESgHEqq_|=wRv0JT2&aUPnWx*X!iuasHT~gT*JoV3Yat7d`AkuNl zBTq++Hd!eKmEGvl#%4pX1P}^Qp+eDwq(rG1f!2yI!{(m!R-*$AZ3N1EVE78Nq$U93 zoSI_{M5&>~)bAEP&(}gW)~G#6*&af@E9eaw(baEU2wQrM3CF^cqX!dWrR?4NYygc{ zn|#uWp2t*zY3yTsPw9^9@tr71(EcY|?R8+53)Bp}LH{+w{3&;mI+njq7t{wVRnayHQ+t$|a89lwR)<0&7BCRi> zTc0p0s4bNGXtNU2b^H*$uHmi42|76d=g=eX@g4NWogBiya^*zq669ZdAezA=Qi2-L zaScG+cV|K&6VO0EETN3!^+Ctca&5b!Jf?~84T=lU-JSZn4!-|wM^A2jZkd*;7lIc} zN7pNF;sx9%n-J zq*p!g__0P9wCD*3u|`~S2DxvW2l$y=q^yzon9+)urb*E>KJ6pp#Y6ERkei5evo)t> zK7IF>*V!9V{T9$g`fF-okhjb!8Hmd0?3mXf-$>j2u%N%~s_30ygsFFL5wq1Dj*6F2 z$+VWx%-3+-RBQ(OH;>-MQbLWTI!THk)-&hqK1m9-04Tm_hxZB}8qn^6FA;SuhdV<) z^vriK1o;8tooi^3h+IN8#N&<#HA9Lg|0ltc<$RqCH7x~9AgVg0=}q<&%|Rb&dX#e2 zoz|<^B#XDoL|#?_#+yDWq{OlH@WpiTnui19rs5Ta%cnDVhdfSYp+#ap=1@8vJ6!r} z8}g<_==q|2Y^0W~2|(fDODfLWWlkeBd&C{=Rs;-E(a$yPW^e%Nq0%0Rc zk*mJ^vU)!;MGebXdjWXGQzW-#V6Dra@*N;q1op$2J^sUG|*b_Bx?a)BddF+WsduFa3o$|n7C{oJ7;#pAgN(ZkvIMEx*rtl4*1EuL`!8(W+B8_UMdg{GLaW0%gdCm{JyKF z53q;0>8snlTYg1pdN%Ds)I2Gv#O#dV-dQ=C3BoX!PDwSwq@=tCu}=P>3OB`MDT|du82K?Y$Y7 zoE7y@HG1BZ02C)_zDE%rsY1N5e#QaH&pm!+^l2!7z8 zn}Tm3e$k0|Vz#QiQj7M9<@8#%lGWDws5M`@$4^Q(@QAB@s!`R#+N<^Dkukr-RX$M> zE<%r|6CTx|vNHM55Can(-CV^*5DJSY>G>4AS!|}EZpfF9xso!`)O0bJ4D33z1`0)& zIUvX&3vjKFQZHM5DlJrZM}FI=eloMS%S}!*dOz}>`LH23eC1>;Tfrx*f}XxJj3WK@ z-sZG$96#hSJ|SEN9`L15jOUeWA6t{7 zus2?uo)vh=^_l+xsMa1^&c9UBE*IuY>F!sWB9TuPeA!92ez;4+SF>=#svALP6qB!|ctFLznEZ133N|8~1unuhM(10~+! zD|d(41HZ(gz0!p~KP+(Fd+#5;rkCl<%34W3>RTF%%cti$O3$rd?u#%>)BiY-HYn*j z)17`?(=$Php#cit7R5t#xFNE9r?pu~~5_2qG5Z&^Cy~=$sIpJ16AUAvkw< z+j`XbKjPgwUmcT~{>IEI;3JHltxH#1HMUQ4IPrRJ$sWMBun2IXqt-LT{s5Wv-oA+W zSzR_kuMY3lF!BY~cu3ml>g7qh-pC-@~ z?Amf@^)$fqho(o@sx*D)#f8s$MVm~_; z$x+ic2+dp@ajzBw5>v~n$YnO`(TSKkfWX0nZ_nmOIo$;;%JrOyt`rFstq7%6;`VMG+ zX!O7uEej+nC|=q?3C$VRiI=TjEdRZ7D4Xvt=Y_Emk)pN^)kYh=3=PxL9hz)k$ir9G zSOgWayaeJ_b`5;c$&zNPT^6+SV@^^U3;$Ng5aFYF#e#k)cX1!XxV4CQXnNG`$dRT+ zlJ;V6(b)G5a>$RFs@23X55}2j@n548pyE>g8ux&)bz`ZeO1)~m7v^ULa1p{}qi^L` zIB>R4Fy+k0oBmm7$|9)P>K#E#xN!0#baJYA`W+P19ZWJ_Z(tFOwsGX5!gW-{js^#|=w3FctCX$9Tg~j(a z8OZPB{Qd7TDP15F-zHWXwUcf>5cc_=G&Kb?&W+(U0rGzJ|#oGJ>Km&mJfE_;A^?3DVL1l)hblbbH&m{1T&b znGHUI)|`^%iA?a}?9e~F%{a_5{5twY7>A5p7RC`ToTyIPDyd0$rb-1WGoF=v-Axq2txd58WiQ!{a_pL3$~I~Va+>3BzJ=kC3-j2U@KbEt#E zSKcg#Yl2VtTw9-JUv>G)e37tbJikw7T~42K{D0%w8Cld5J#b>l=QiA?B6<%Bwyk`M zw@(~h@JXi~x_b28hh>X@h5Cp~<{#ZUiLV!ad`n!nF1J z`%K=qFVcd&nUl%DfWt9ctV-+z5W?L#!1dSbxj_*JU|dC9ImDK&42gsPl16XA&L zr8)j>oP{cZpW}Mtx<=0;IFq~())9YfMvcWoixNm@-i6GEoxk-HH?d#*d-umDAD$@@ z@#e8Ozq{L5H_!ww$3RS;rxHU;_%K(%IP`HmXwmGxL1lzzZfCg_!iqgEggNf3NvOX3 za(KA_*GjJGwU#Yq>O>AuVMVupQ%CG0{{;$QMM$F9`Gq9V}+u4k^`BXCR}+uw!qPOaWM zVSLMjYX+~mUaWMs{LO_@chl_gc}^D7F}_nQ?G~p}o71I&sjTxS2IFzMQ$;@pFFN@c zkhC=D{C}S?3t)8W?P!=mG%$C(3^h4k%&7BNuH750OMHrAc3qNfS<_}c^iOx0{@ie~ zC2Aw4g*m@_#5>}6Z|mCWibBG`VBzA;2`0MV2I)u-Z>o3aP(CPpg*jj5W!wu1=Vj#( zFCg788>$cEJo9nRf6=?bcyVaRSPXSg=TWC^UizAPr07EF%$Enr*Pa?ho4?$Kcxik^ z0IMmZZF(%P4g)}TEcjb=&6U`n!RRc8B-g%MX`~O1zESdPYtiPr>q5+c(&arwML_%XQ)Li=O-+QK^eZZ~c+xqzF*O31{hGYEW iKj-!T!!fS{O^V`4bb49}i^?as$ljbYe@<(CPjp`V>iyxw)Ot-@&Jg`}0a$sQak_ z>bqI@j}zYmsT!f6KqxERIqzdok6%L_(SqM3B0{O5c$^k{sMF}7S4E*AAUS-&G5=~G zk5g29^hG4AfsnOZ1&X5d^tu`iio1z&^ydo`v6liv1blLVM#$a1Shs5%$^_y}OWxl^kWwTnI9-iDjym4i4GycJ4H=@Rc@{E*q*J)c zX5;q;4CTu(juGW_B|+UYP}vRIQ=1jtLyA(eEkDU?vHKe<&HRy%2|bjVE3%@oPhdMK zUIp@fh{MHRIMhgH#ZbTLxXCeH5z-^=_QcW(T?1F$i_n?G8zXGArm(I$-dt~b>*%A& z-`j=lxkt&9kB{IT-<)&weHvHh7FwnY;&ec_^?dAT=*+n!`$@{6(PiVf4=&tEM+3u7PMt^_w4%u^xL`HIPa z$X|%Wgsb9Vef{~8E*x}R#Ypxye&f3DYwwEd@AR*}eslT>xMgd@6jAY;eHanLqXFR> z1<^0$PIFh@IIOJe-2I||D|DrYh0#C(Rp}2?$IVV;0_|X><@4gMXa^a_n*x?d436|B z1&kf)BaGu70S~{V5+W%k!Z*@hp#^tB`RIaFy4D?#zOx1O`}Q`0ae9fNyO9EIt>ZCF zgl5114tWXLr28=>1Tzh4BL+6D`f>3TcF!#cHs#1ynuDD>Tx3ZO4TOLt5%OB{-5k{A zkJcl5_p^XuBJ));SP$<@Iw6|x*kstYSTo3Ow4tb`61k+PGdaGhem=i_%P?)>c|JJ! z&5@Kyn5Ku4Kq1b-k97U;Ssp5nS-O(0MjDFrtV2D`hG$pqOGZ{DmOW;as)uCINCoj~n zl6m&60X%JVvoa7QAn|wTlBu*Tf3CQlq)^?c6f;@{!v}5V}5# zB~-d7vugjzThekNtflw>j6)G01GFJ9`cNNH12o$bBFt<05I6@4WW~TS^G+95SdAZw z?3j39oJ!I%=ye0!DU^~9+e-330krlw>F`M%`1Y`KpG%8iTcGBbUS35|AR*^aqDhi- zyk^Gs>LxOz7LldEiRz}1lVywp%VNQE;-*9=P%yi)@84&hI$$pC@zZ#uT>DzrXYWUl>4X zbR{PKju^t7}^{`*2_RS}Kauaj@= zEJ=C71)_DOzZGQWEabJRX=re1oT`Rv;+77-Wzv`}b=BL?nUQg^aS?PW_Y7+i_bI-? zILF;_`?L7#BR5kjIZH~S%sctg!i-$uY@c5SANeegxC4ouxEZ;3xXUeD@-?;+oiTi< zTK)CpMa9|`4}a%>)U|NrxlXO&VdBQLTKK&;X7n-gci5kw6S}#z8oQq+oowRjzPM)B zsd|AgH1{=TqKOE*(tnsD5uOsw5}Fgf6p(yr^)gdAQ8{$PHbXPR_Jhrb7xQrQ7ESm~ zGA^?zgyUfY#vANO9G6^noTBJl#Jxnc#C7i4`<10#3%lrlPsee$@pt#fnsYAYvI@w* zW_@cHZ`XTlgSIs=$FgCcFv$Bs6i~h_(A64*8uS8lQS^>i;?J)U_Fns-Wz8;vE;4H4 zJOk?DF@Zb{=?}e%#-gjts}sF_5rRsDv?8=d@e{OtN)HCx)qG{7nnb(YrL%v2ad*El zZ0h+waaNO3tJ9*BGfh@=yYa@U&ZFtt^3?3q78N(Vihzs7lG(Q=U%Q%xi{-CwW{tO< zsm+&l(0+FZgFSE9`t6j< zmHCxt(+{G4li>@L*uPo*`gg>21ZERub2rZ-FF<;fXrBG%OL%K|ziHl}jaJaE_TSIt z!{z$(bMq#)wYC`t1P8?jyYqHcE>miIG<&CHaF~A4{A5aGdxb7uoo;y99ot?SUgzIfUszo7oUh+%-iVxVUE*N&2Q6opD@`x>^I+W3o zQ3@5nQHqEPD-ZD{=3+E68*0>+-pilLs5)G^TTSelkE{>X>gJ{Ug{zKJg1bP604i6s zCg*jWD|1MSLyPN{Lm$Xr3tZbD5MG7ts~}p8T}f3>aCG`~9%zBfs>q$3%yqm4x&b}p z!xjhr>Hd>ZtbY}IC-195%x2@GTkp@L&E!sbhFebH8rCAkBsKcGbzG}Zbo6LM`^#9$ zcA8G=G|fiXU{6K0c=apO*3qb;h1mJD_~aV8r1Z2@FYR2GfyDGoYax%BwO7Th-(_b+ zdYpcyGR#-APrLF{Wl`AmkAul?SWrlMRKkLdyQ;f5|NGh?&X2fo z(de7Tz0HM!ZH0G9jV!Yb=?(9z?>0~t@!vAlY7&%rw^;6#G)6PR=aPyY>K|iJjtSeSs+w%C;i#4C-XdL_eF(Y`|F0~9qIPS+O&vQU#xGw>$F^7 zBrdVIe9`<;@GkV-X}!pNV&(oE+n#<&J&85j^n**ViHz4<#ffdp%blH!Ai<=GY@V>x zkq->b<$D-Y^Qyb5&8C=6Dg%0zT2+_PKE=1T2bi;q-u^z>7uoAS&Vvbq!**kuwq54W zQ_lC%<@Q zEa!@Mi}F(pA8}7xc<-yZ;>-LSn++R9ntWNePM(I7WhkgC>T82aX`$h(MG4_gEU59t!s9JPZ_6umu#{ziX6% zPsl3TF2iZewlhB;YPg^>l>*a11%kMn&;-iL;e3m9~;9g@m1>Da9*Rc2;&O5flmv z3L!@mGXZr;>3_Ea{|Qrlbau8EU}JN0b7OVmVzqNLXXD`K=VxQ*WaH#y0j^+i^00L_ zbZ4=3qJD1VKkZ1GIvG1!*gIR;*-}8-H8iqwaTcbcf^_uX*Yh|{-7WsFCtIg~j|Ds+ z8{``{4pw%y|F#X>Dg-$zplac6YONz_VFTC<=tG2?k6q~L`v2cI|JURH+^PM4ck;3G z{qLRs^UeSF&bLmcjuLh@K$p%U|L3lMH~;UK|85jwgFN~FSmN2tPiFx;i=YUx{nuwA zD4*YzF9B{OwUAVK1AGEO_Vfb04h6_yD99)9HbKmXAqL__3`$P&^&5BSz1C|tyzSJ@ zOUZI18zc}I3JfBs(s+v}RfYdnYT}!hPvPd&YGdYcg!$Y)my=JgLe}*U5%UN1dh@3J zW9EZnM{mzL(eKgomy@k;;ot75s)|)ngD8<%kbVW#4MoWMW$}K&v#&L2`zhRhNEtHJ z?@moEVz=Y7N^)4k=YVHO35`SXzkgsDiY3)-JTaytJXwFZ|NTRQM!|c)`rk9aF-i~= zy!;Ptc$L8a*R`_#Fs7l4{sLQDI9;5A^{!Q}RUF$bt4poqkJnWgM#zT924nk8l`&Ar zF=8UfmE?nTKEAxjPyaT-(W@p>Y%HJBCnjlUQfGGXN#9tsXjbKlONFDvvnQf3^QeN( zqp07yf1~ON{`?uz?}?oMy|&2qX|vqZkbl#NflmlHUiQCrm#iEb3XNrGA?x!VaB3m% z+GQv^cglD>mMbo4uB0iR{>SJ;vN%yk2b_&6lri%(WddN(Mm8NF`#i97(9BXz<3c_Tr6rv`AqS2w54;d7P78g zqOu&eh{aHmjBXh_yn97+nYi1sj$K`(c+ax5$|~%Nw`FfuYf}TZ%TQ4v<}!(cx~)?D zy;k+?mJ=z!?ooH3$u2CadsVUz()rz{#8&vUX1!~*1fK8GL89soam;eT9{7y-SJ}|N z3-EW(Z-|WwI2)<|K8=eKcxXGGnfyky-EFwCCB>e zTmC1S#;w~POhq6JqLs#HvKzr zT!dp@Y@-0BVpEm!NczyGarK;;Moz8><3LIRf%V4#Rhfbit$Wpr+g)aPYQ1p_Uk1m!bU4{18<^q?%OiuV#*a)}%0o`>C1z z)#9%YQoM4R%f*^Y(N)h@oBJQi=(aocAiH~dE;i|WTZOc}oAt%mAYrfWF=!v;*j(6V zR?D4&8hRV|@u=EV&#I@HCIF|t-s zq#JU4hLy{d=_Pb>ZwmD0%l?u?O`R&siBCm2KKQp)@W)56&ptH8q89|`n!UHIzbB-= zgHPsnmPr2?bxsO>8%+Zrmg-@{=PXO?x))PYc#cz2 zf;W0@VwA0qP@$i+{bIE0oBWR3UP9fdXi`%hOL(rCXdOM7uj~^b7{~!O3=6`{?8t4S zONw;zwrrzACOM$PqBmc^c)a%O55K*nQGLr&%fj;e?BVve^HH`n-xc_c-BgUa#@4tD zKJ~D>0}@ODzIXx3;Y4WW6Dkr=$JmM{;?Z;EQCHvF-GQyIjwFh^VDZm0!kfz@oL%HE zi#1NpCRsfA`TR#`Ob-1nFirN`e8Mw=QjSf5!BPEZaIYbQ3yX&iiDwwc28+qjc>WC!#w=L<>&K#Ex0u*J zh>YCvH{Y{MTJj{U{}l1Ez-(1|`V#X|b+Yx=_UFjS%~}dR zAfusC<>t&0_=Wkt*=$Iwbh7-5+vBllV&P>X0sUSdffa+V^s~<-0JHq$Qf)#7pCEOv zA#W)4R`s^i3@)9MuidoY*KWF!Cu+fhZYL0 z$GuS#GZV>~wkvVs%flqbWcOmWpXYw(?a3`LUXNSR`PWk%#n$hw#GP3kKAt*AF*CZ1 zkN*zSNpb6w&bM$C_+mL140tR887+`$EqF#?`xE(`tkh>k#0^Zubjbuf`W;X^w(<$! zcw)M1id+wmv9A%A7yYRDx}?cFcKm0}$PCW=cnGvpXwd4VBGN<&(budRb3Wwj_mYYBb|qpI z+giqD_}wP;Ch#EPaxUV~ns6V>*RD5^Kj&;lxSz_|`FrnCPTA1g`Mqxw=dQ!s+2w|e zG&Iy}7z|-z(X_)(qG9ugTHk=c65LmdRoe_HWFC|?_L^)0aA>f3(7|^!(2|)b@=on%S`%Bzd>k+jK^bLjT!NYnxZwqQOT*Z)xLt6Awn%W%=6yV z`zaE>tDxsWNznb0^7d z^-cH1G#Gdnr9uzMYftDR55ycnp3#n|$0N}=PbA{KyU8&rm?@mz-=9XK#Imh>S(|K* zwfWoK2yKB;(n~-nnH;wqIM+k<6$Pd|>`eiXyV>7P^ifgO;No&}uv1WDlK*6f`BYY> zPc8U(;K#VTAWFYegri+WCX$iim+a&6+FT50s?t^x;fiPFS z@WA=>y_e%-#e;k%Ww-sDlj(5XK9G?glyt_Uh!Q;D`XnE5sm&0|Kg8$k{w*-;lJ+>% zYLBB`!)3p1*OXZg!?<*rnuJgzz35uozt55fNbV5NORHz2J=nkPJjz4;u`R3(7NTd@ zn!x${fQ+drJ~5#lsoHhk>?+4K^v3F)ZqH+roYjfHwv~R5?;a0@x7@Q9;ebGH+*+n_ zU^}Ma?@$-EN#iRD{;gdR%Y}*Si9?gz_C=xBZ)C>K-BYz&eSJ=_?8?lSC`4!GBfsj` zFKhehX#Sb}IimmYn{T+CRW*((pP)9)K_fdQX|_r)kNjEV5yK_!^u+~xx?W-^zI{~B zTxelnjpOXaK3aX-9@y6R0!$n@h!%$`Y_#>8&(# zpDc=ZlF~0G`m5VAWd#=&fHp*xx)t$6kbYBEz5#5Qc%fjqz{4eAW)=v)@hx6B8%@3F_U_E3-4IoYcX4xi@i* zmsX?htonCZuP0(Fp1C6E9|gPSoRyiz?|MdFQ6FZMk*LaC$lQ4On+?Q}QH zRQ`Nd=t3Xof3Pv~RspaQ4{RcOfwr^9WPB`9OO#<%$a>TY5N+)hEtI z7qgGWr99A2X~)>cbr zmf6G&e47P*@|C7`W+^4_3I&jnhTkc-rX$T^ZbI9t!TG}YN#jG5I1v48s&SxrE(T)X z2Gl|Jpfigyp1aB!k5Yc^>Ma9N{V`}Eoj=wJ_wwRcbcV@#Z$!4gyj|2!M7LFR-J4}Q zA5QBAM)g!EdmiP!E+&ZG@z5F#a;Rz<7@se9vn zau9C07~)^3l;2^sK~kGTp>M;haGv8F1t@=PP|%pG(`Jig8qQ*6%3}<*l66_VTzc#O zl`myfMoLseG;U2qAbWSbcjD_TlA8MEQQMn`i^nfJp&UB3=2>NPbrN@Jv)%P27+%jp z?*^`=O3lHm3FLYhCF$3|JZAq{QuHB3vGy=7bmr{|GpU}hXi!R=XSyz~Kz*%KMd@)W z7u|OK3#)&0LfRi@oke-zDq> z3aspW?M={Wjx1;+qq*$TicQZt)J!I~b#@41|3#<#mZw{;6mC(N{sBE%?)3+-1k)4O z&6k84FkamX5E>ei_Pf$EiWa015ut4>M8|o!ayp)=8^F6s!0tXJfD zP4SqmGCAQ%o@9mMj$Qn(^)OU4>;hCHtE|Td^NCyMOe-CsJa+@5pi1LtzGNwfjdY!J z_b2ZHMC6J&j>YH#>nRE{CV5ohrH zP)wOi!{quHHROA5CA3eP)G;!TGu5U5^KQ1M9zhyUHu1t!UB=1& zK?VXYaxhx~+*?7xAs?!u5OKWhwT#?+xofJI<3)L4q|85N)Z;Llm5?iBB0Lp)AknV` z)S(o9_3T4!h~ZF4nZJ$b5_+XL-^P&Vcif&bQ~D6^N5SNFh%4G1>JZVViBIQlMNorl z%eYdN>>g5w+v@V+JzuS70PKpDHd9W#K4Gj8>4wFQsr|7iAf`N!D3*d!T^nCsnqH)_ z^>_);i%9OB)Z2VnT5#*Gw+-OyN3tVxZP64qzMrz{TT^&a>d-j-1VEipp?a(|$>c=; zA+-3zb*X6L5?F%aCBuWG_#BvyeYk-pR>54YFZS2+D)M-Q%kFUeuLO+l41nSMjPk!A zU-*?Rd6@Ia_xLh1vzx|wi{8xmGKBnrPT56CSJC>m>U&$DAV6**!7Y{wOt;@~iF5Ow z27S!(-e$T$JrLx09FZcW_J~_cg6ZR~ct^rJKE#BaVg)=?7Lr&*1F)l{(Odcb8My<< z{Op^RywK9eX)0xSAt@Mv;55&wgFf{~l!NEwDh6YLn=K|sqLbU{i0EqPE}P4a8!p^J zXX{pUg@wcIe5Zj-aaSn zI>kO!e`~NY10uJP2#ef9aM7!=13Z#ys?|Gh#9*(LanzuAMl^3s8}GGm7W;{x=M<=t z8z^}e5Dho?RU^7a_U6%&APJN5yAcmeHbq(_*-6v{itrg_My2ZDwKvVy0M<;Pfp!VY z%HX+|So;aTCcKUPdPU3c)C~FM?VmLbUFEZO(@SI1Y5JCr&ovoqz%o^!^jPpq7^&e` z??LalluwgJyMlzEG%8d;NJU!uK6xJMmL6ecfZkSJgZneu?e*|yO)%8^l7|Xfn#TDk z1X;~Cu7&FHx1)Hxc|JLlW3Q0UbK9NNVql|bS|XCE$nm>~0rTu@wU!s7kzL*f?*tXw zuu^1f2JchJ;UPs-F%PU?M4CgH4M%UoDH}^s^=q}Yg0FTo6|QRZ2{lyBd*n~WjQPbl zC!<+5LE1@A$=@GtfeL~+F>e;ltPQf7vDJ#Mr-Y}H+?J%__|-XmsN;5A93XQ5h9V~7 zB3Lq_M*or43X>IR1Rshs6XrSgwgKl=Sq~~=?jdVL8LmQ+Tx%-v8?mqRrE_Rt3=W#` z01dpyRUIEauHqjboyBR46CNK`yfkis)Nu&=5OMD>M>Y&8*O$rk_3mZi)s;^ z>VB2RYuZgTdBUj!uoa3VIA>}6aO6yfi#Js6L8EljD4DUxzRXEwS0A2zO{3rs(^G9x z!&6y`DPLyHnoeImEXbr~21@_BZdy$Y7zqQpg~*qbt2jQMHo-nySa7+oW+HkWi>N*9 z$spNq$g0`euPo~jE+ob4kmEZzKGA(8b1b+@OUjBF{x^(ZxCPmzFswBZ$?czJFn_Jj zjrk>eE2y5I8AC!a)R`6d>8P?y%b{En1)Yr+0lanQh?GiXJ#w4&{eHU`l z1fHIr52lyF7bUhyfCiYZ?f?drePzeK2QI~Z>{S{>p=oNM+Cl7Sd$=j zkL!1HJZ4r;pEBAyIuw<(3YY-0ja+6qN+-T;-22RbCKW6WVP&8aRt0`74jXc|cP_itN} z3y#S3=d1dZssc5LUG05)x)s&8?ea8!kE<=~N?PD50AiP~WI8 z6gkF%;bNSo*E#H~cK9ts`y8ADklAUy@*aKfc$z3QIx^MzcTG`SpyGmR{DDv%#u5Y9C9v7}M0!6Qh6!|YhYDzE;wU}KK zO#Ko|eXXbIe!@O;iv)bgvuun^cO1|twzkl<;@mHLg)W;(XI0-!+Qc07Ws$_QrF!bT zqAHCQYeV{K@nVQ?z8oVo{UPI6)S;xLyS-8A(;*q&V~`U2zBok$bBZeso1po<_6ceu zr2G%5>fs@&X6Hj$w0&?CuJi&Dx>wUt{y9eAPgBWb6uGOZzFvz3twn!thA*cXwDmx? z#-o6a9NH8PzTOZv2@`eG-`qzt!)luJVBXcq9kpV1V-|S?K2)_3Ln61I2pXNbT>1DfD>V{A z`briiiGKXAvFM(5(`LReUy%E*NYhnEZmUS&M z`Y4lguN9CFLYw=-KRems$;s{B=zBY$!&bsqg?gzLA|j~cST3o5@90??xzMY+do4k# zlK_FlK8~T(Q)>QGq=@yI&3P|Au$Y$Y)!NJ(F8zCLokt}1<7X&QzyUH6&e)ycnvH?q zeB;GzMfd(;fE-e~6>n|lAJmcBe!h(17Ua|MB~8FJQpiK=JSUlFV#)7cua&bN)AlO; zo`^wc{y5JVCD48A9Zp6&PQLMteDLh^k^4Wa0@k>Cs`*b}Rnm3EugH}xtbsDS_2dHS zdLpAXRAmF{zE!qxKG~TYe1+EenL6KoZ-FI6`21bys3KkZipvJqHeQ8@3I7H4;5*So ziw+^OXJg1=Ln3~}8*@+Y-Nn@XEa&Zn9Y_QWXSXkVQ0G$wSGVtPCoiFi+oEG+%!5PE z26H3!8n@iCyFBVPG_cgoE>zFkWf&bemVF$?lqxdkF9H5(P|5~Rq4D)?J>^?ObA4|cAa_-+TL*zF0D!NK#~2j zpc79{7dcJ(#`#83$;=4~BpVns!krzClXObJ4W&vRUl!vs=3qwCJcwWu&lQ*J9B46@ z`sSP&4>lobKF=R|eh4xv>9WImF`Mm8&mSm;6U z2@8xWwXJ@%BLS0Cxl+H%``X%!i}6m6p%j>z`3hoOU47UEOczI) zl5K)CfO5=OK0oAW@X7+%QK46V*`EH#du>hDI7FJ~v?A~{c+HQnUfu+1pL(U21HH7& zM!l&mbpfh6VL=w|kXqlO2?-b3X#YzX|b}H!UClh3xs&1T587aDo!N2Lt2j$^R`rPF;`i}i*6Sk zGC}d~K7)QOcA8=RkpQtUsd2=mny~*9P!<(5{I`0cO7N7d8VwL#T~dP^lQ_Dw&w7}v(nMoc6oKR>~U0abqGt@AIC%G*U;^!Ll9@8bL2V7L^_ z;p2)nrWqb=lHq5gTYYjNl?aG;HJ|!uHbA^si~M~Q({Op%A@^cnS%5smZo+bo{=V}n zj}PB75AS=6Bg6$)!Z1!_XF~zt3g1XX*io8ab@-SFGd=CbqgI#*F)VHV@;@$&;k!eM zo=Pd87%zx(hfsYCqE%FAsg((F$u0a+4{}^@@qjW&UvWEleex&h6VEs1GhgP%$U!bh!T=x|5u!nM;6*E~5Uc_P zct)BQ_3qbUK<-EELrm{b1o)(WTpC~7eDD=~hMG*sT>ZqB2#_5mqiBN-m&fu3K&lNaixVGw zf4Qu@%RR?1)C$=-P=?fPj@5@+BR{n**E;Qz-YVA zu_s_r;@Ree5S!2DXd}4Bvt#h9y}!yG$`qzKj(uT9(1SU91&A-KX{!txXo$g&GBM=N zF3?wZ*DstyE9z`nUt0>|HB$J-@E&?K+g$+aP_U8SCxH~@-39;U=+HA(?xmGfz>nVpM1mADS0CM zroj4;Y^47HFZU5>8P5;-I%sJSU*H7$1pNnt@4f&)1T+LyGcOtIe3?fZuFjtkmmlEh zM#xQD2(FmQr(<6mUSgU+gs4Otg1!WG=9TT2rMAoNzu)yp(S^&RP9X~a6xY8pnmWId z_ewHXRPROoX%6;7Djd(<_NbH+T?WNN6!%|M?1bFizA%3VmDnfTHMoYDhKOLk!!{S) z14$UI$YV_kA_w-=A3)1?#uiA*N!<-fTBt~v_gL}nn*e)M`4rRl+ z?&0_i5}35qSAfp@9!tZBx8EURzO#OQDR*{rX@9aWnfyo1cm@CA%6vuU z!io+nyEtk6@Y95Rf`6(jWqr)-G-d2~JN}CYy0#tNkQ+_pHYZhYlBK@4l7$}zG#O`n znLVH(i%1YG13_4x8OsG&Smc#u+)t@U=vc@FO~_`SA$|14 zJ)GuBmR?8<3EB-R*4mm6*f{KIZ+x3R^H$1ZtY;w_pT;?p`)M9^!~xbxl;nQIkP@xz zGSstcGO|C3OuyA^SuT>DYtVgSUmcXkyfy}j*Vk#8?*=3NgSN@GlBO_|h8M#xt+l<+ z(Q!UyU)I~;7FFZa(Bbqcs6_cVenrGH2J2*$QklJr@Z&7&54Xh^ zi%sWJENcn{=hI;xq%!J3YqM4F%SGO)k0mV;W*Ma zv?g?LjDQ5|3$w5l(hx0(UAwE?$w2l=*m(~Z_k5(j5V|miDg1^CXq#zAdTHQ!^mk-{ zXBQ>nW`g2?=6CLPQ_xOh?b-?I+y7o=UGdh+0@PGd+S<5H9pv#+-AedC3MeS}OSFt+ zHmG8Xxw0W+}YNr#CAeW zCKMQ_!Vgu!moz8CcHLeACXR3x-^-UW-6Ax+8P<^*8-2^@eNBYqp4mYGfbq;yAHkyv zE(X!<=~#9j#kfV~*Y4`sA90Xhie$3eyzZtdY9f|2nCTRUp^+8ydt{}WwJ5ymzdp48 z?11bOviLY6OnX+RQPBSQo1tJP`inB^u{=a{WD7kB0k1LSbTpEdZL;E5MBljEifX+l`!q}Y#znz&)w z@=aact=_d$D1hx0^sgJmz`5P zk&hWehj(>B3*LhWlD`K;1<=Gj@unnu)?R+TIQ~rW4z_ zRLVWEp;ne?K%RFvT%B!FM|tat-FtIMg(~wub$3LSx>YzKUeXZ_NYvKe-(pTBU#|L; z{so<6P&`I+>@pq`byjcpg`KMiy#%Bad!?f|P zS6ra-agxTcFH}FWY2<*3DTEb5$+3Or+}XFo1fqTELkYbmfNcFaYa;3ca*_M+wMK5? z2e}o~@n{;hWS|lX(bc&?J;i8RaUDq9MMXnHy{>S-7(a;THY(FvY8$l8GsbscPtQi3>b%cVwn<~za8hTVu*$4&_;+o8V!Si0n?~S6# zI=K-x^y=-1Ps@KDs~GIS*CaPhxa%9rB}_n8%vZR^ama}{+81?@60ZIvID}w+Km6pO z)qMPV;6Vp(gg3!TRFjXTgX?(+nnlZp`1XN9!6~*OK!UM`3h@a z*6!fb?ShmE8{cqEj2IZgz~s*+BPC(fhY)TwC*-yW;a)l3@l8yu1pZ`#wrB+S?#=0% z#q-=8f+*BGhJ^DD3@##cVbWG_y}5Fkl~z*TPLT5zHS%}cobi@*yReCBS&D7E=tZlw zPPY|w^kl5*heQ_IvdUD(#3qS5Z|A`#@-$2&NT~zJ&3JGSYnahr0=fBGT?l=wM7dXX zjqvXsHe#%(QJ?Lx)k8?Cu0k~s-zjuQj9Jkeg5XM5tPCdiwLHm~;M(2p;*ycOB!VB< zgRSIDpJ-PYAXO@$1^`jh7uDob%O6RD<6CaGz(c;L1s+uUrFK|;yPCN{>9o*u%Aae4u1T?US}o#YNd4SAXMMxsr(Bju15@E$crgDe zRC>Zs9yfxx=!#`_2~VF*S~AJKE&lUSqK{}D79nK+Cqw`+L4fLxbP9Kgd(hk4doI~? zTTvd6STJ6TJcW8Y(JO%TsoZB9ClMRWdQr-fB&IG#4V^bT5emwyr}11(J&s24yWu*$ zb&hH7L$1(1;Kg_G0Z7-pw~z;b1Rzey{EgH#o66y|_~>nJSjxxEJ%8t@fVx*D)Zl~y=QZ17clOu2337#_4$A-R z+5)#ckr)_^Jv(q0x`DSR&IA2R+L9z*ArOY6A{=`Fj`w5CRobgWQ^LRX^v5==NFNEU zUBdc?-O#w`k7GAiO6?MUjp3R}j}{r}yj<0xSG^*6P8jsE5IYTvgE>X{+$zcI9<-F4 z*?hh!_b=y>hm(hrX8dI28xG#6=>G| z^#TgZApCeqo(1VU3yLWhy#$Ph$_@m@p z8(FAcGqbHqeK#FlEVpxBpt84Fch&0Uk0C77K_+1QdO1s|&&Uh&)D0of4Rq19TJI64 zd9w;xw2U_*6_e)dcoP|@Hj=qAG7|7ZiBf^j00~)$Eo|F;w?I|o%S8MjaCPwd)a%sF z7N7hsCq{$}apE%#WCML1+`o0f&yo=H@bFc#VJJ&rT7e3t0t9iccX*{Mfg)H!$3@1< zVw=RBy)Nq}oJaWhY7qnOFK;>|hCN~O#HlVXc9s?^$IOqi%SYy-!4{M_L7JLW`RqPf z8^%9U_R*yjQCn)PpiE zZtmEMQGYvb<59*n%V&($%UaxaHpxB5lC#U6YAomrW7ODX*JmeqLl7>16f7)dUzL1} zXx}VIL)%Tmj~!6<=9t{>&FScB5ZpdJbloXbUL`xr0T76vfhugkxxqG^zd zJoHy}g^(+%`PfSnP@$FDw$L#tw>nuu(}hhX%TeZlHFK=yVWcKiuFdf`tdfat8GC(+ zebJD8D?szr5G;seLUdKIFBcfL(w_1H3cnSx?JFq`37FRNtl$r~6zY?d%w?jn)IBFm z+TY-iDXeP&g>mbQ)uvbvnsm^g>-&K8?gQI0Pz(cDQaV_nd3idzATk0UGJ1bFM=_uW z98O3NmOJp{tZrAu4LhPoPy^@oHN`1y5}tX}ZKygMT2xhfzfMrKzk!fHu8eLM2V%yf z%#L9rQ~V7@&^cNKegdeS)?X|!Uj98b>t0*8q2Zr`jDq;{(?*9avTb?lg0&}GW?IoQ zAoJqfxv74@2IE|-VR=p=%9yVzRJK$Y?yFN|7lK#wkQnCT+0k1Z$B?Fe0fq54+zcr- zwZS+MAjG%1jM1M%d=G-_CPUzPocGl;?-A^WjdPe?Y)-VTKT2OM$J3gWt)8mogFL?M z&I~npuy2Z!y_EFRh^6}BfAz{X@z*UmagjS6p7Ky;0#lypd*0hB(+=ae&n=fhsEp(w z(DK~7iI&(GE3P65Q}=?vBG}7;b4~fJE4to4gIe_nD!sAR(FNAX0EE#*Ey|)%epYJ3 z9csCD+wVCvrc-R0>8bZrnywz`{#-*o2q#4r@EkGYkcbI&G^mHW)U0&}ed^c4UFpO$ zz1Xvuix7E1E{=&&`zjy|K%VQL8a}*Sp=4^1K1F$XEejOI zq_((4$!mWv5NH%#S%fZMV(~v_xJv}Al$PL#`eOdTj0zzy^gmP6eNch?Im>h@85=rhGm*uibJC^9l zdNS4@k+q+OI_6t3;Uz1 zjq3++4g#^OLJLfgKZ5G7y5TyJ7lTyq(eL8*C((Iv>{srr6mbc+a1|JVksP(awtHo#UroBFtMi+Nmh>29&Ai*=6 z39)`bNpUDcN2Mv4*p{ktyA8P%!NIjKl3T~xo((=gO9CZvk~pu*DCfOL0uK)Z|VVJ?5IpH5%H4Zs;my5$8h#ckK z$0q{se$yTNCa*=<0Iw40X*%Ug~H&3gaDdF&CRLt`;SM-m6 zXrVsRqoLR%+c{#{3Oik#d*!-p*DQYxryPYrSxYdymM~rSm5iy5cIg4se+Ww>NDvZ` ztqhms_nr%wBu4*}6pY|3pcdq0X?qE38KI1_ix|zcJQoy~oOQgLA4yK;8isU@A|gFP zzUC9GAwzChdA2JjOto2SLDF;B%w9&_sYhVriJ7O(&ez}oK^8udQOSp5&oyLAJV^Wp= zKNtB7AmT(UG4v@sV_ZT%{~+5KkCQ34Tv?@w|O-o9A=zS?<4wR@dvRa!HT$ zk@V5ZfMsL;d(>HAlGXb$q`_8d%cl$ScerA1i4Mo^u0A!0#BY~;# z{j%r=%|V6{*0#)IvHsIG*dM_2)42E7Ike^T-Os@s;q9072>}kTL}pj`rFt9-!^{N><1UtXQRr#i~H5Ht!{N7jp#~s6K&Me0dh-s0RFMjw7xTlzJ zC1LueC%$AS-D8HKhW9B#-cJ-47GUSQNxfX#wo~K^j@->@rmrR~eV2%duElV1LH5E@ zeVOE>%V%ubC?Y8sJ2&tWn@%47+WewoF$}El>3m#1fhrR)GX(jahD57;>zD5pH({Lz zQ8tFqgv7v+vZrftuFv9V-QM1yz%{$gAq_mG3!pN?OZW9eFlxS3-^v)_e)`!7nV;?!vxGb4W$lH5$@9#WU%l(f{>#iNC6r)7X zBThUB2X>w1+>0C|IrG;3o7mRJfQ9n5h4-O zSS7ZML7H{IbX&Y8fCj&k zI{VCdu2oPdvC(=Aed%LJFKfB=!tn=L4^seZ^~26rb5FHvLKYTqFG^~#I;Dx1b!|?l z0E-S|DyJs|*V`c+X;#Q&f0Xa@S3p_+x|j~!r;+!rBBFMcG9U$}eIP9T7WdKdYx*TG zGTX(#+H{icZ}jI2ShQ#Qt2v4=Q*lSj(?!8w^07(1ZXemV_zy6|;NOs(cQ`Mvw5vn0 ztXoz1fWJIe(B751y>2g%0rzpkzv*?CrSx~(w0Rp zum}sz($eLKygu@B(KDhOlbm$94>KwJvp^xcK)U?f^=ccJ`^boa7_`Tz1uQPKw+U7V zRF`L=;#%c=Ukd`6YF>2oNgY@h?ueEYi^6w%NEbac{7CBKxnUQ}tzmKF}K{4_VZdwU#q9LCv=RO+lr zzXuqRxutx|?O5KQNCFuOsvbxS;9v-El?{A~FAut6IP@w1fzLjWkLsw62oP5k)<%>5 z1Ovb>5@PJxb#53Sp1$Hf8m9K;4~HKttw+clxG(d$Unx?%9i-GIRqSU7`7`|ENAcbV zbTTWtm3ua>08pIf69Cjg074l(^!R(^cD8-rpDUuZx8LzL^pJTivs958I2*V(Lidj@Nlrz?}f1 zbXP*KDW!v!mWAh4xpDVcb<4)!tVSy0drSa{e7V=$*+)^E0!Cd0J;s;3c-I%&!DHH zc_4ML)$Z#l$oQafOO0?Eu+lQo{Lyf!gWA5o<4kgGQ3YB0Tr5d^y|4i5*9H`_XR}&>G4S2 zMP$Cc?$9J|%}&Lt?d;Z8P;DyCO^_*y=LcB6y>{oGFHr|di*M=gS@0Q$`0z7C73hkn zKb)cZ1NC#tvLw;dF8O2Qg+-DkHyoS-5g7koGLjSJ!E+eDJ?&h7kQ?{Ghn)m51@8wH z&zRay1leCbyi5gPuC}DzK5b>TOAnaDrG(NUIM{C`A@k{l%!et);)xrd;7b|~Ziwvy zZyWl1s%$k&alQ4TYxZ{t^FbQUZ<9oLUC1A9=88woxW78wC1L^uFY1u0cSQDo{S=d$ zzh|zUA+ZjES>8aH`>iP~MnT<MixPLuT4GwO zNkW+qu7y9R*?A3gM26BfM7)ac`x4`?v}Zd_?aT6)=Bqo|elJ&YOh0htmCMu8Uz7k7 z(md5jzU^scp;E97>S@&t#^7;m6e>Z~U-D&B2Jg4i9L^5~ti{qkE&0M=JVJB2Atx6S zPMuiMFz2vWVu-`hZ@8DL-MM)5&PEzJzS7}3$UG6i|Cv$Ck;;M=_$$Hh&`9`cuM>E1+hp&( z73_HZu4RR5F!)L%rM31ys*3`mPln2uGT~w(vha(Vd1E`QWxbOwbu|`R57tZNw5h4i zeiz>icOC^*n@^j#`=yCavnQ|B9Q}lRU8@SB&gVNZ!T$%om zZC5HpT>Yust$21@pCv$F&~FL)f?35h>FpOE$;8v!2dUHAqgxp~deT%~)XZN5()m3^ zmwBBIAN2f{b@#!QyY6*w1(~*>DCvI?*8%i$lMyd>b&SinK4@%9SmR$gSIM?&9Lv9e zv42%9A3D})J6N$W$T#<+VeTKuF!x`!fBhAB?XNp?2A)MKG=59i`+*5{$7N6(_}Gm* zF6lQeL3^iK@LAnrK=YIuZ1|FXD=#_eH+5NB3fIKbv-JshB!wM~ecNe8;VcTSI{rD< z#P;Q%=t(yW+7|y#-oUaGqi1QlLH#Da+6u50aqknfat2ySy zkv+)nd-}91LYj9!eH#DD`o(+Nl;JwY7%-nB^Lyzt&EO;d-0}POcw@=kA3U635rqFug5_On1p$ zRzm=%W(F$~FwhyBL^_KY;_&^fiYEmIo;Q)-NQp>u51?>g`U7!(wF3#gkiTOT6&KDR zM?S*s{k16RTa;+)xHrh$n8MJ0BtAes+Y935yk$>EJ&a1yu8D0@`k@>nlr zqw}c?B_6hs6{PA_sfe}X!@-5wnPdC(4J=6pkJoFfj+jpv=_Ey0F$lD55E3E3$GZB z(bIQG&YSpPd&AD+&Eql0o}QkF7HPaQy=*{)dn8B;&|29$6APB_@Cquw9W>#o8Nb~# znf!m3ycffRCjsTd`RlCMKI%8Ck8>{`bp{gwU{ZP1t~n-L?~$pZKsrvn z9R??Tbf^1gQ%iZ+^x?If*&aCwLN5A`;OUl0OMbg#GLwzV^fha#^66ad1$gRC+1 zzVV40A@5PeMGXy9#4zIyTTreJ}isLH>9m=;TqMNJP9YLqy~qV zrG#VNz5rKfdXAC~g)g^2Ee zt|?URKz$%JHxkU`_>+0dnE2=%Fg{)8$9c>7J;Dm-KfBsn8X%n0he6m9P(0i5`D5 z)DcwTK+qd@RXRdN9aDwH-kQ0?2$}nPNlLTkwvwM*Y0D?l1{bW-fKJHxhBO=%h7nn! zu&3-8rmuYW?olYxl;M1@SS_?>+{?B9 z^I%!kjxVd>U%EsVQ~(t>(%Pb%OE}5H2~oqzaf}qgH^L-{M-GN&zx*9x0oxPCZup=F z;}Cb?GDGV?S^1`ky7dcmLt5dx9=CZ2GUKHkM1iGJk`Hp2M3*W@R`O)I4jyO#(J8S1 z)Jb|+u5+kXJS$KyyXK%Z`}OZH?CjVXo34uXplR6>pjph#Q~Y6ZY1LAOUPKoa?N$UC zkD>e&{{k`w{X0;O%hO_6+?FY+>?+rfPdG${Oc_B)id#Q{V8r0{bWW3nB!$I zZSQ_9oJ_vh&FK7ENRHxpjFyzK#nnqAKYpQNji#sm6RLh9!e0DW{lq{%Xa)J8%=agK zjYy_ytZB=}&bHDe3(XwG!;^8ly_vEGf1|__&VV z#{b{^^U3YIhS9^0tu@4CiZVHeKl>5S_b^)fLt6__|3sv^wSAL4NIw)v_;F@Sb6krC zrw@v0e+sHEFiRypOvL>oBb*VM6O_q)aUGn$Z-2vjDg2=> zIE`NIeaa2j{C$-MMhg6AKSZcLm^-;&HEUux3vghPB{_M_Vsg40dl)=B^%Qswx#gQD zTR)0{pcSo8k8QRr`mfFDsjjK96?+X!yRWBvWavpWAv6Kv7+)M4Sed&JRc}AS9pWsW za5D*h_M6wE6#98u+dEa(Oix>>em`xQQv*=O4aXf{P=t`a#3PgI1#=+Bu=1k*TJoQB zMF&c*)U963(Yt43AY?J%_yiY-RWx?)6DQnTP@)-eDK!!g48wm+i@eH~GFkjEESK~R zs>SaT%0SXYAEkgm@Xm%1pPy=R{_YX2dJ}tH{rfl5J?TGWVH}#%{_J(Ag}sksX@A`3)1j#Nx^L#1yvjs^ z{2pM3Wr1>y2L}1WTQ%zebI-4{eKumOX&mb1?XS#~FW0~6sWmZE?)8GD3k<2(2kB`y z_}M?=et$L&UEsC$QEdj2x14AweWGAsBcN0p3dWP=NFSrSYIs8dV*wMy#lqHo$F@kc+&$efGqCczpu-K6ia zL9TM?avW##M?Zi&YT*x~f>DjF%;wO2zQq%A29pIHjRmJ9NArj7o@JdPfWK@Y#3Mvt z11hT@FMV^PdyzUr!eR@s>F&E+p_ljUx;?b?oDP!Du41nDYFahpe-S%v_CRk!Bx%(6 zUqECec%ykw%EyQ!a;V7h-hT%C9b(9@f0jPsSMyC`S2#%F8sZz6@eZsH^GN#gn$Yv@W*@5 z7zmf4$idNqIZTg@|7^BDLq~ZQ`5hIP(|CUh#qgkU=?F)$zwSe|SfI=U!FN6%%)8v0 zn!EpKJm0~otx$r>?P?^%`_p0pBZ8S9Qj|iyMYEL2@Cc;Y3-XU-4=6%Bi{JEzhE6n0 zJTUltU;R}!MIiUA^x@Q7I}t+^&r4TIBlUkz>=;Ma69SR&=|GodCwLhT-sA;REGHc# zc4zFd(N_P+@`ziRB38$0KumIUF}s-|m0XU;u*0-O-MBv)@9CGiB2h46=tA>=b2n{}b`b<{`! z8ciJc42mI-L{(Q+Oe+k+mG6d-fy`r)E^NP?izSnL-*}pQyk0(i?t7uIrh>9>HqCru z_BB1FHiZ(8QGaqgQmV*hCh#^jgtr}7%+Q+(lCv6}*vcMub1%@r_@fXEqtc?DzMh}r zC|v~w?6?QSM}`m~!IT}h>V#x;)>J=^W?#vPI2nK)x}&fz234 zFk8MYt5!bhV^5@{G->m;ARgpT+!`BHO*EufrlfbGYv}E;N)&xAj-Q! z!^p;^_9D;YO@`Ba0ZFcMN7$b!z@5fyHTSw||Fjp%-z90I!+rG6*K4m-k7Yh5GsJtt z>9q27$0*ZF{RHur2(knLP-fB0b~Xyb=r!*3zSC{u>qynpaidTH@AjZSrLR@aEw@-! zPr!q`qh{xan0~ofcXwx?l%3xz6p@(M268%M!<3QkC(^pwsjqo>QnsX#8Nq*L=*OnJ z@Jy0!R#fib3W1Grclf{S}BlFB8#;(h6|TRs!UGImSqg8|HKKcB$U6 z()7ZKd8;zNN%zgTC2@IXSX4Z}b|pUBvC;IXX1qjW{>Y_b1nT@_aCD~IqX+p&%8(WfnANxy$2_dSL8>E0ecqb;#wXw0EkE*e2Q(+O>4UNLlutf6RaDlL}0rZPOTd4ki$ zWg@?S`iL3sms|`8_tm=Ses7jei6;FtwJcvwwvAEXnl5hc&u8AFCEuih8VpK||8?0Y z_fmS0H0S;eU?#u3(%v&DTOyBD&&tEd*V_rls#E#!Q!9KR!{sW;u5PcXvz|W^D~v4P z0Gd{}4Ad5STGzY2hMBe9{7M6{=-JKP-F<05AI_4DSZD~sZALX54m?60f1;ov^|35bqn)lECi)MVkl1lW#h+827eH9x)#||7aMIP-hlY}s7?7VDe@D9eq0wS}sjczX zR?x_06W~6e6r6o}zkRWYX5u$%ZJ)O~VAq$i+Sj|ui>xScgrFXB()of$SX9c;cq(w< z6EGW412gLyO=lwZ`bHyUuM|m*2^;Us#@R#!rcmg0V6^CQ5mlTgqI-CY+gxsVW9$vl zVYna5EL>j=AI{t@GPg+}m#ZIblnoCK_NrJj4>dfd4pO>q7FJ?hUyqoa*yxdO9v6#z zVp{uPVFl+j+p3%W%imSzOzQYq-~lw=P=3(Z!nn8hqok9LR_--xKNlHTt@izQ0Yf3c zanm4M0xuyZX0NQ%<{x|1?tC0JJNpBNFMFfNXNnq9tqFH7IJE6cfO>_2tZ3dKPVI`U%|AX)5wao@C)+3@H17@<#ilRC zW>j+-RO0;QlhXDDNf^ zOoJyp7}`8{+K{a7%QftdhUDwo?k_fcgWw4?0%w4x0Pf#oy8A%L2{hsUN9^OQ)rLnB z$~~uhGkR+;57MX44}^N;exSPEMBfx~c^`fZ`0_4~6dtEZb~uvxMph2G2}=nrnE}-#kQCCLD4~bJ&K%=>VVo zefjg!a>n0|3ME$xINL4bO1K+2VooZW-C;QNdx~?UaB?3(ljRe`(@Y^315>5#o7o#u zihzk9^WMjU?Ed>W%&DJgKWIt}P4WAy1m`{Aq_@_vZPS{qTD;v{zKsM2xWahlwNnE| z4{7Y@(JxhgJ9b?D!o$d{t&@l5t3IY_6DCm(JT(Vo5!%xKSCWvNBf@kfxVMB8(2Lub z8ex2Oycz1H{me~$r_N!2wfsgX0L>;I>*nG{Atjnvx0+8{FET9t$>pO|q)ET;1G%Fc z5()pCKMIV=TKOJgg*5#WVP#+OY$!hHt9&%o!5S&9pUcqwT~U~nKX6_y13Ptql|*2J zmL=sR7kA@Ti9YN5Q5|HwD~qESnm|kRp<%YGGM5ml>@{Lr;x1G&lvLB-jceVTdK;=I zDP?$?`wnH(wZ|kGi&R)dB7n@4!dDI;F$oN@0-$&o{(|&Bg$TdeHOE@xmM=P6_;q(b z_pKz`aKxjR=5p0l1?C{mQ#{mhnqX)0>*PdDzTRb$I0}gX z1XP9o(DicMGN$ld0-sbZ;8g;~gfW7?uOIx}dEQ&@6L%>T7$@MN^lY9wQ@{Z=o;tK$ z3w%KJBgE->*nCe9<6QdGsoQjyr3N^u%Mk08$)515^%$AIgd@Vi1Wg34fVb4|<(&muSQaFjP?FhxEDriaj8x#>(MdOROxi{0#Y!{H65WvF?zG4 zmMsyHR}SN*)XZVS*5Fdk$!Lkn`Vd=V-McxS^B?j^TnzY`$+inWT#DPpaJk(EgXfWF zDScV6skR#Acg$nC1l{Pjfr1Z3pAp!(lc$uVYrKcam~sMA>n8B$s)cSXaGGNz6%0;h z7as!2vabXrB*SM*wkEsX7|F!M@t-0ihtJof+qJWI9DHPmum-_qs}&UR#Kl))!Y^h`uH)QmaGKE06o2;yMR_u} zk+^qGglNM0V&27e7cNUacSo&a;aC)Xey%Er_n|dS{0xObKM$xKYq&Mm0{QFKeU#jk zLXIF%&MDoAXh7RYU5M8BeclE_& zJ&NqWR5w$kOdJfKn6+HrV3q~DFs4FOO7GUY^b;O{S_=QS29TyP&_tpvETzmtGoE`J z;od}uxgtB7bO~Dszc<8jUaK8crq9dC7$+*)E!5?&F;p>1fF9~CuHm;kQKD0$Fm5$V zYiR&$0+k8lc!@OWdZeTM!#pB3Oo~^=Ox?;yk|<3T1hb3b5R~AGNGbi;N>yciX*Z)D zmdAa(yBtKp-o2Q{^^bj`Lv7_dp5~4o{z`H)y!mt00Dr9}eR^7eqFO%1Z)XtvO9ZH( z0v~4O*oNfLbnY=qWNVO$Ch7PH4_WP}B=A*t`kF~dnB*3#>XA2G?xr_98=7GH2=uXX zlgd*gl8Qm{xu&gV4eXl-=7$o+;t9G2;mVXE&-BnoJ^JX%(GLf_ohA;h&`lgQqn}y{YvUfQ{ z8`IcLb%u(}_sA7S6~#T30GWpjmFN|$tn?GMsp{qY*U9T+4##6LvW>A;O5B5Q5{MB8^ds|L8&Uh|I@WW>cgDPtZ}H0Sktxw zPG9@!cxmEXa1ZsJ3LvkNHR4fs(>&bh1sd^t3){e-h^Tgn+ZP49x%=s7!;c7~A`(q| z|0MP~WGy0VhYzN3%vd};b1IooO70V7@=gU44nS!J?$-}S5S8%FU7V!n$8m}AIJq@1aW5K`f+cn5W%?@Jh<+umS4bzzJdZ9upr637NtH~SBYeMl#Kpt;hm0NGgoWWc`l)kdSJ7R}yH_gD zF8Gs=|6fNLv9S9dm!87aOGu@Eqb0z1{GfVAhOevR`HVUi7!^ETWhY>9`ALoaqT5_A zjvo+ROjXlTw2;&F$(?_)+A$WBI}rw(C`VoX2Eb4^8Bi1g>L|C0fld4z)sDA{fp3jz z#U<4}KNRHarm~M$8;Cv~x0uSC4?5Gp!bUBGfRKk!URlz>ASvVJr?j!H!NCQSmw6OYbQgYZJ$BWsHnDe3J#pFl}rxy$8$Y|xdu(SWvd|{<trd-}toLb2W31BdU3npYpGLL`~F`b#pq1LXGCe7I&w&xC&m`|&XtfoU8?~ikB zY2nY5sOA4h1_nrosM*sK9kF#cYCvHQ(o`?!V`7r4J_Q0`U~Qt8ub0hy>WHW2xhh*t zxn%Z48F{8mVkezG?S5ezqTB9LcHjU?iSki9`c$nz<&qFmxr`yWcdIez19Oews6uEA zhQ%!!IoLBQ#L5CWcw8Q2j??FW4zuTDu5!jhLqMNP)P%^`wo`51C9l98Z&7f|( zPb3+gY1bI!8y{7MBqbAx9jb7auSOP!CMO#st2f@Sd;Nx27`;?yd{49P8#J%nI$j$4 zD9nK)HIV!6be@&DBZhWF!}8SdNL|_CtBLZ^Gks-_SZ0grJTICj3bpsh48*tqT#?3Z zrVtyC>I|i09t23P$sJjn*WL!WQf+rbg4|HZL?40`CQdjLOj76cbX3;v1)zr1sqV_V z(q4CeUq1cpJOj36WzWCIYo_kndxK%}CLO+qIJge|dq6cGr7+rz?-NB|J~~2Q@G&E! z@M|EfpOc+gL?&%d_L%m25<^i>J<8LGfu^!<%Yn2zGQI>L;yr{zSfoM^$?-S&QWeD`;GT`Fv3>_BYB%8-zg{!cQ0ksl|^YW5IxtVzA? z4vRP~H7GkZ>TgG>Ku*j?F=@V$=)OL;&DZ_qeM1JDt*Tk|{QBxX4A}#PlL+PEj_h*5 z4z>GALIBlZ*On$jFO@f}+&hP_A}M4e;ds$sSY(#qX53NQ^9T!t6f;pH<}_n(^bKqJ(6 zdxbho;EA8**aPXz=M)qHBJiuLr00_q8QtFBs?`qrI))PARG8wr{ll|qev-*ddso5K zQ44m7CrQcaVWimJCA84nHL2Onf@V|X2uU-xyHHK`q=IO=;j+y=_Ut&~6oAlo2$-BT zqp6R{5(wc6Y2wI#M<(NBSSKR_06llOg<-9Vjv|9JY-E~prv6BR&$ZZHmh6#g@4WEE%iBgz?Lhk@^CB6%s{_0Dfu zFPSHws&}000WW<0ii_gWCa`Dm2`H*T7((rQNh2hC^nM{3qGU{0Ricc!`er-`zSm31wx z)i`DuDZDp+6rOW;Z)_kTZ?X#;Yhku2k|@JCNt{TSRYFmx)`e!~FWpRvqtwfYJ|pxL z+r?tXafcj|)W;Ytx9g9El+cXy6bk>`QdRGbh#3NdaRR(vsnA7Ha=1U?y(CM@asj^| zr0kHp4yPV`LMd)pb?Se=F6+#8FvaL&Xh&w!IsNwVThnE_mgf^g6v8j?)0>x*5evF6 zAqK-H3-o5!o012l-gO<*MMwUP_r40V+p~YcPjj}WFV}>_5=F1|y(s}dmlTt(hsJ%Y zGPn6M6=^Ut`HmM>1-({Im*^8C&Ty42qD(C#d|%_wB;mqz2Y3(zFbfmvyPcju4t6vn zXM3p3GBdrJgPlE)?P7T$r_|W(QKM?vZ|X zc+M-W=Zq7UVi+m2iHWsfz6PcE-275me~bkr2F*bRN~3 zviFPP1K&3+b2mtyinDwy?dE2zb}g=zZP-}vlk>Sb`W2EhG(p385GN3j<(d}muf?FC zs;Zlgg*6^^XDf+>xB5TzL^jAynjt$GGp`c%hqK+F`r1FJc*+~W6kp_Qgi2byVyd{l zI{g7({NGq5^1fn@po|Z*K5fFo72Mh8U$w2uv{z5nX&evHP%_XB@!#gTTs@^}Hm-5qS!I?f&66)n+$ijhj&myMei0Ik5Zc8- zXe;a??pvC($sDVvTkekQ`s%D4%`wPdby+T*=8$Kam!DXvCvglh>(Ra=r3Bs+o6Iu& zp(9@qbzsumJdjX!RC;iaJskMu8*~<%TR9#j252sr3t^bWXQp)@+S|ejq`KUnies?J zEC(OZ7OU;&2(=xV2lEv^u?>4Nep!d-_fZ5w6*mysV3HM z#u#Ji0z{DYyd#9Zgl;c1+>GQ!qw99qRw%@X6?7yP$DpHWw!~WZx9X5TKcAKpiOlQ} z!DMS?1|3srWbE163tY1}zEhk5?-$ck^J>k{!|d3ip+gswvl#iM4zZ)*@>m&jOyL>)=8)6 z9nXI~|3*)_HF`U8NQ$YgukmlGe4oL+pwe(#zrfra@fp3yOpZWWFow_8M?F2jg`o@K z7dRAkp7Tn14C*bc<0U_JD2?9V^)>MpVAC{VL(354kiH9h^t#ZROKl}GRlDird2}YL zUgJZ^;C+xRVxe$V10ted@sMfT4>XkRe;*?rc6od2QIjSv`cfgoW=&PlB>TTJ1ZbcI z1<$WLa;&T;C>TGaA>bm@{!6Fu!f&~5^d$&^^*bUNi1LE#w!A=a564p;XgxxzqVqqI z?+bhrfhCy{9zOTJe`?9_Ax*5Kup9{?8K+DN^Bh^-6Lxx;HHw_XdbhgbadJ)J#=Y1F zqfojJ*-ph-eRe{`D%A$pIFY$sn}xM?|dZU<5Z&O z7S@B{x(p%Adlq5dBAoI$?%u+~D}y24E3`UEdZ9BWbjKvINpIxzze$OiDb`*p+^M41 z>QsqC&K=C?j2IE^=+&OUGIUmI9BV3x-hWYA?<)D?4X#rG_za* zHLl{)f|x@P_OBK(52r@t~E>TihQKN zV=ZdftzehJ?%w|P%{>saGG2|oE!T}5?OiZEmgaP0X!(<0ly#=5eGsli1!AJ*%l3ua zjZY=$z9$e6{+Pvb&Wto8O*1}_G%B&%gVnOQ7Eh!Q-NEX5lpOiRXCPTdXmhs78kO(- zWc!JY76HxPjNqQzL};AYGAG-c)`42-?;y{qH9R`KxGg|A!L=lZ%G}MgGhn-;f?*Ad zil)lj#YJ+}j~ShiRQ^G0Y*T2g?UZziQc#-Cffsm8ASQEaF9u5Cx-8eueJN(s06mWl zC%cA(I=Z=aM@1}c|F~V!`d4~&UasGx) z;*K8t_$SrC?T*UrYM|OaDEYfFT9W~H!eQefDlhAm?y0!|mg$??QC1LTrna7v5zq){giA{g|R*Jb5V$759BHALA{zDWYJ=&y;Lv>m{(rbx*ZFXKi zI8mRj-@vY85NhwEhcO;=e~T9H)4Q#e4lUl7?6dmBhpF2n<5N%EkVV4uNNpQY4oVq7 z(VH0sL81O^N=vdGlHbw9Y%VZ~r4+%Di0WJ%`ob>JNo`dsdyjLSKd~w3uwP0jt;wDv zvH6UBJ?Gu|GN%0OG#&=Fqf^2+W5;nr0Uaolg&+uAQ3wLNNWYxYWuCtLt5>C7+my2E zWm$6xII2mZ=4L9&0quJ3oEhTOgY6DD?R^33-!_PEfd_X*V?W95bnV!1xx(XDR# z9mtv!5!Sq9lQ78YxRP%&kREHW>MK>*Ymy}6@&5PdOAc1aCBZ2AZGGMKZ7iwtOY=S3 z+1U3+a??vp)D=51o#Ulu)!&{p(!T4l_^Rq6b!%#P^wkr9>!)qMWKGcg2LU#k`< zzIdbhug(9~{gNnKiST~O`XZ<<+@c0fA(Oc29KAZHnjWM4C_xWD7FpI&3tm^*aofW~ zb!6u4N$#ImS_}lx`>oB^G8P$2ZA5T&Zts)so%70gtk~GOldEtYef{-q;QRYJ&~1va z?GoOG5KzkrCoAN(wmknzfc!-yHE``)0CK>fUK4dujyLC8ps{v!s*g*lE1Y#};2)l) z1Ow|5Ro3JPIllaF0Wq25^|x_;f6T2vEz)6!t>PBssih%xQYL-@1!A!q!S0>g&oBkq z=-K^v5kYvX9&#S473U`fK9{}eT)c5~mE_E3@$o|OSb_b5X^e_q%D`-29Y%?{8fJ^t z=+TN6D$=()@P?B`oh>E1nJtZ2*_U!{8Wn<|#(LLdn%zG5UmQd%EImTthmM?%Tl=0! zZ)al;L)p5#-_HtsK2chsz8-Lgn^y?eJAFzyzq}C51o_8@GC7&7CD5gjrtMcEyi|uK zH2NATu^a>LLaN)eOs6@{@~-D+SmFyXB>-mm6;k#=iGp4Tj2Eq^hsGsLW?7w0=6qB= zd(CFSwke$M=&#&IVS*|;oiCE)qgq_fw&CTR+SrUR#guzd75#s^w$`5=seEz%aQSwM zL+}2r{d@;M+}c&CjyU>T&RXZ>tW&awAJ#vQ6 zzS=!n4N2xO+&vPRPpG&eizD(l!onLN<`UeR0C7E|0jgB#;_P^C{*o`}tvd2b$iC5ze zJpHUM1aG`llYD_PWhCnH-SE^~F7WFJ=>9CA`(sWGESI2h;i67vBB1tMw#4Zxq&_BX z9XTPPz3w!(uA1gdRrB{bF6jPTSgd!Rs>+8X3A?~tV(dRD;o4&u<0~t?qTSLMbxT`8 zbVWz6AiKA4F>z@>Bafae(nFBIe zs|EZ{g72Yma^u7EJku4wqqubv_XD7ikVOH(2~JcHoFLAFmhsu?VW;#lqaS>JW{Imt zY9D(&Jt89F4yd|MhM zA7EGr`B_SYzm6cN(ch9Eb`_|=XB(*2YzF~4$JS;xlkz>5&qeH;S5PhMKOfX3&EmiE zd1S{sGYN-l<(*`;IrH@JGA*jmljBq`o+^4$82NjK=OFjTQY~TLE^*2rR-`DQlRw}Y z;ftGFGe%O@$MdXYO^&ED9E<-(YNMB4?GzSwPjmdz6q{kadj)Ie*Mt5{A!AgYFU9J_ z(%9460Dmf39?ZeSig7Bzd=VLpP-wtGs0a2!-qAlHmsx0>-zjM&a{N<#Z>(wK7{l&G zB2*I*){qrQ`@_$~JO$$&kD5?YGP#bdRU~g{+o}p^4fHH?lH{y^C9Hhudy&Mwpz;jB zbTp#9B)5Bu@d#?V9Au8mmI;H~0U{AaIhl(83dZLz?9*ZX7m+C!9Wv|BL0UV2J8ygXTZkiDsDdvn`EKUwh}< zC_w{l`-FakBKc&>8t#Wixvz&s3$%QC{&WA-nwB4`siJXexbe7P9G*q=;#B6dhM}s_ zO43{Fk3@Y+pgZ}mA$bBt2x7<%Qu8Jw)=cMzKgseoh)>h#R()ISiIfsHR;uLXYT}x1 zQnH>gw~=r&AC;U8I2=w-H-g7J+3RHTPyjCRa3B+?LPIVQ0$k!%(#&)S(2kSC-|yXd za8YK2zm%|udi;4ty4gVA@4*Frd(F($GU|sYkWkF~3Lmg3W#Ka9AGsO$4h$aw?_JZd zSG@g>d5}_iFGBES4XUB|o;m)DJ*il?mEeexV`Zg26AFf^SeJ)d(61(}yr@5gRlQNx{zT|S8d^{O|kk^fN zFsX-+OyScI(+H{m|2V*z=_?;}dCk5gftbF)%uY!eP0t;t6RG{U!A{XDG`fr*d3Xag z^Zaf|T<=K5`L9ydKRTVGp^yr}2)LCSn=xRsN7c1VZ$fjp?P8RCW%t0KAk3^A|MrHK z{*M|%k*Og+Mj}ZkAvv!riie`yt0ufu{+Z z{Tl%9m2F8${=P`(&GX&vLqfl_aGyOx3P9P1e*C%ZiL>rO)iI=@g;cS2fF z_tQSb*<=^LMM>{xN33a>{llXsXZNkfLy+1>a|5W@`i^2jb_l>-fO%U+ck<-8nCZ7L ztiJ1HeqgQq4-|-atTz9N03#Aq7G!>^6Rfpcr!_WG=bb{G-tYBwI&t24hM)f3Nv@|; zAod;9V#z>5Swum4u3m1in_=R0sZfbs!@se7ToSto;Yl|S>)n<#A6Mj)Fx|uFyUt5=GicgSwPd_F-9Q7%T`s6>gbQ#ERxWK`E{4Eo2uwU)fRvh9e zVgs;;fcF#1w1L|OZ|KNyELud(AMRAK0AUH^#BS>FTvT(DqhZS*nw77O09JSnlzu4Q zW!T9E>Z5%#4y=L$Sq7*v`-Cw2l>6>>bL~Y>Wp9?br8BQlc@q@L6%t-0$^FwfE?JCx zYbTY{@EujR|N8jg1iOBsbD~dAw!Tj;tj3VaR2iT1U2|)(zf*~@()53_vDwg@v~w_E z!_;Bl*YRsuPw@wMBQ|m+D-CA0%4Nb9tucYFL)Ze*Q7N~Spv#vszr=`QgCrS>ch~7U zzXifP>ZQK5zV!m3@_-ZmpZR@4m|xm`ci*}Ebqyr{``EOzlnxWtC=&W%!IbVO7&a0w z(IoG~HG8s!v!?s7k+~;D$gi#Ct9SFHtFtI4HpD9foo8@u9oaTk@!l8xj(U72H1)Qq zdJQS)0_m#FKwmVvkEHkvfmMY_8T{AID0Fnx%`XV>c1qLThD(bKlS!-Dv!*S=TFFM# zR?L>0#ogA$X^RubM|<;%^~8)EumQ|_AG75a@h*GM+)CsGwSE3YZ)gk z6RF+L{P;?@VlVL?9P`+UDhZ%%_KSYh9~31g`}td4{e1LnQzm82)`n|m#NIb;y|9X9cfsyf zuw)YSXQD`)K>i)o6y)!Hd)uS8?JAH1dBi7wAAuezgnB=E+=Al_KQ8eReokG{?A3|F z6~4NO^8dB>9ZXSmOS_7wARrk;L_mj}GZF_7$yo^!B@0ND90yR6fCPyWL?lQC$r%Zf zl$<3ClH(8u_}0vD-gCZF_x^xebuG)HigNF@*Xq^XPxsT^_!7er03Kj`4EnYx-N1i*)1WL1OduUj!t+8==(_LrrFEN%2FJt-ZP+)7!c(H`s%B z%!D252ThP15ezmaWy~##{IrT-Y{kY{;+VhPDwYwn4C9kq8f^ter zP&qD!n+Htx$Ln&ddl!FZAa3U*i8cJeLFq?hWB?GSyZu^N5BcNVZXSoZ+j89baHl9k zmNA;&)D8?s_)PppGCOeZfoV)w2b*s?SJMA6f##>7l@$MQ9{(!~-l_`C!Q(Iv`rE$7 zt0`3q@wBq{1z>uz>GGH@Ar3sA#)ZF#4doL$W#{YhX;SArsGD>A$7d*9q9M1lC!hBHO;*ec;@Nas~A%Im0ZB@RMEZ;`^m^SF*`(+4Z~i1 zXlRt)^1RlGXsW|Gsq?Nw#!66q`B|_EELrRE!siEe9bcXGcU}Mc;U`V^l^>+6g)MLI zG{!0{htjxvGZ*CQnNSKmyz#}_#SQTmlUb3*?SO>cK#R_k6t2d8#(aCKR?(Y82~0i0 zTqz=db`)&2u$*DrVfC5ZjRbx52SG+ukwJZSMvZzbpd%9Ev}18}VAwXeGC7~oE;rvt z_)wYGBwll8NfM)6vWbMin~zznaC9hlfk@1ketOk_n1ytvT2~J*DRP#`S(vPueVGZF z^@8f7Zf4ex+v}+Gd$jb2&HeEhA`y?^?0&X+IQ(J3_Eo1r@@K9T-3lSS%+gSOB0`Q2 zk9?mXCIujFaQUe}qS0f%V-Od6vKM4@WCiKRKPF1#^_>t@DA0bD1z1VVvDx(Kod|&hu-Lc~(Q~_hvm+gg_3*)fw;l=CJSe3U&t{+X~>$k|GnbgjgL0 z5>Kt=Z6MBqPLeG&oGn5Xq!i1V%EN0R1W`E?C0Nc}Dj!fOU388_+SaHeTrW7brMWNN z)aOhNq3ebbK2Gc$F6VljmxSt>A_&njh&Ra0Cge^zOjI$O?j9vy+Z_!?FY<^8 zd7DXPjbN^d7aHu0VlCtESvel^=kZ>R@n(mvzQF9AsWJCoDkJx8?wK*h+7M5k5LLFe zHZ{)4Fz;aYuHHFBtAurMt;QU}BEm+W3eC;7@$}!?8P6l9+Z#Nj$5G$?VUaZ*GB{1E zT-q58Nsfa4!M6P1UN9GP$$=rz`3pEO5@bSE9`FKk^2B;Y)@K3P)LGD6M0tlHx^OxH z(Du6!@64wja9^vfarqP%So8Wz<4NsNu(-qIgqnDU%Di18!zT05MxJ$iw+91{0VATA zA6v27<2wGPl)Z0ICVr*jgpKo#yw5%Zh{z>md=B4SC8ZG7OxB`}M9=dxA_FI0=9jp& zkb}E^V*2Qg55{PrLbO=;e!e|i9-7cvF)PROIP_<#JuS?Gjv%6rfQ>t;+CQN)JaCl1e_b9zP>Lw=Y;RIgzYa27of$>Rz9u}Ui9ZhA|g-QL^UTnwLwIs7BP zFp*3C4R)UUmopU|fWi!2fKQHuixme^;Du5XU(lCQrJUcAXj5rjd(K`0PoABC7gmX~ zP@c4JR7NZ%%Mxq{-A@=}uAlbqRj$lbh`veN>QFDt7DmWBlOS2wzo89bH%NsbO&~7~ za5}n`U+u$0-FEa4wOFA+)>=!;TZ)>WF>S|qgU9qI@J8d!6&!7zV3f1s}aAr7$Dp{RmvJ{>Ft`U;I#4xLj$L z!K>~4yf=o}Q>9#3fe(VKZyC^7`pib;9>yHcQO1Y~@AQk)rX1Xk@fdsgeCSTLurpb> zRma`0F>YXf4+ew)HNP=s+WuPYh_HnGi*UZqX_P>*MzkP5(%DA=G6Zb<6np1w>HW&dZ z6}Nj*c}ZIXD5IbciTXSk=YHVqZGFdbtMYkS?4=m66eTEWjWN78!03{ndg|AKp7pj( z53*DOi6r}Szwy__^t3rWGn|zNW>P;~fi>NAn=jB|2nmpRye7_>VlNSoAz)>Sk@QEyCls=ENXiT)nX(UX`ZsV5j$GOfS2` z_QQ~eA%V3v)pE`Hkrw(}F8TKp_Yy7z1mGiX@y`^MIg>Cd(z5GJZ_YX*9UI^|?isMA z&FDhCyU(f$1?8%ohgXQ_D1^hPqnjkLE&D{K>UlL;oJn3*&E3r{3r7+KTdmmE2xTU@=@D0c)*yOLEsc}NZuKOq=xA-j3Q<&3 zZo>ET1Dd)5Ddt2%Uc{=Sk(L&z>B{aFe$%t-a4G`N2UVZs@1M603HSRMW>=3#V*&HD zK#axE-n$-heCRZv6S(rNb>??+9(mxm zLE=wRNQUs#1&V|cVfn(s{H|L703n04up6kJI8ku^;-DB};0@hInj;~1JziO{idQ!W zzSss(pP9F&vz9}e%^?J$7$7_tUGFZsyy?7Su`vBX;TN7j=TEvLPc?mLu7I#6xvKkn zv`dDA4AO@bPv1D0-Fa`yj=-I9$81|zDcVUH^>?Ba2rH|4_VMvRG$z=LeXJa7t>7d^ z9Y~^V-mDC3eAv1x^TC4f44JFD%KzoLwl@yER1q7=(PF3Nn2~Q4<)1oB%dJaO-JE(l z93~uUrd2|L9UF9Iik=T{zl5LwIllKsuZOT=S{uF-tp%X?aP4_<@iiqT<+xEDm%%NM13?=!^L_aWRL-Z>m^rL zd2#3=`D%j?FV|pQTS;oM`7%z5Lg)iY)WG~u8y`U2j-cF)hy>4;FiIw8QMA)FW2Bx@ zBg@nSDuJ3J{LY2DO-w?jI?K+M2etN#JvB1=l)$5ajB~7_#(^O{z3;sc+Fl zZ?m&9Qh#5w_BI+-l%myB{$?IP7N_Cs&c>JxziSMFEVU#OI|)jkJmdddZ!(9ZWAX~$ zH)t-K8x2^}eXe%2&%+Zl|E*%!=ABl-B$t6H`l0>EB-r>CpK$TAT|%lj@x@Q2s#Lue z+^)mzAiL(C&NN2>#hhWIuWh=i!pY!U>y)8+JwY6X^D~puJTXKOjnQ}f{~%L}ZX}f& z)L4RihtPEMjj=ViV{$a&ZAG~%ZoRkH+sj#4&I>4`Pgb|=ckYs8*J~KBozOL$>YLtu zt~AQtEoQ+(lrQ7RC2P8c79yU5X z>4A*&%Pt%-tuXwy@5Fjqb`e%08@Xn##T3{>m{(Jzu^HOA0^IcnER+*)4V7=2bM9<$ zoNpTJXyz9(2^1xLGvVux5y3*=M=PWYooQ%&t(NItP;54Ra$jzdVqalpeg`1hzvgx?M+ya_ z%-Y}Qlw$$pzoO*tNbLNWF!P^}QHmA}mIpuoVc+N?4KEYXLT(9Tgx}8$OWaWUT-h`s z`ng32bI(?LW5)*l^^(cz%qpt5mut_{NsSIK-v;jF!=f<41&6TEvf08&^`#g_7O`M%8C(;UQJ8T-Z zhEGhfhHCv5ddz3i!92)q~1HSXJYlQTFUFz(!erAN@_l z12mUDF{i{{LjRC&@(PEzfInS@Ls%>SD?W|_Ar5wPwQo=4N#njwmN0+h@r_1H&jHeu z9;gk2;h-CmIjch%5FduC1qy+_d9WM3 zhKTFKOGOl}ilj)VkCj>TqpAAiivrCTxiwUIEsypX&<52CReMbR%+)B!_w;X0=j}{5 z*?@&gQkm?!IBQ9PaI5ZZhtjIy-JUUE8qSCF~Z@5&s%q_Jyx@rw9gD}`~T%z2Lho+pKotrAx z^hgEO-;8vznkhV5;Da(80XtXo#WTw*+2W>VhICUOgX z$P*~F!!djp_+Gcl7#`AZLcEDq6x6CGbStl(uWwt=)C`iCe-oiY2`SH2=e8b$hG5^u zc%|M4+2tS#7IoWeL6cZ~iAL0oF5YUqL_YPQFRJ0IY&yCqL8ttN3o(fu#ylZOS(<1}-fjay|C_j@>dz`t;k*vpAB_FrO= z&3f*V@1Ol6?J`~}g|rzdnme%HRl%9>OZO`>f2BnkZ8tbzBf-ObQ&5I=40ewExF0K5 zDFyc9FhBDd9`+nI(Fo)A3eNk7_h{rbVMrWeJr5yOZM6yleM|ca=a4L zq!5+79;vEWr`!Z8mSs8n8MH0ILlu1~u<#dKa1$xNTlN}(KUr#XnrgKn!f$~zm{EF- z#D97#3BOgZGY=Tj!TeX9;kUMD=Q>Sx2qQDNm`=8vUv0$(in&2)WwLc}3fjB7a*bW` z^DUZF(8Oe3WW>7re!-8X!a^DjLz*w!(4VA>lTHtEaMKXm#2Vrf7HS`*d*dvC`GaB% z)2HK8`&+2=u3Mh8#?za*dHuS1bXZT78#F3W{5p2nx$J>U{>1y^OA4DaYW3Y+V#Ub} z`B$f^RRyk&`#jCWO3kXt^Q7C^6vJ#QB4zkQn#1MUf>do{*iGI%iVu&kuinj7>Mu7x z+1;Nxo>O@*=~XYdy7Vk-k=(4(1U}9pVucoYX4Dz@IpVL+Ed~buN|OU&{AcNyZUbK% zRsfgeU08grY3`pWpbFkY3kb2c?S3~pQ(a7R$St*~Fjh>khDhZ^`ulF#F01#%W*k{j z#5qouaNpy0MR6V>1gPl(DSDeQQK+gHD1B)K1>m5{%|U23xln*LCvle5wzoG``##Ew z50Sw*Q=XU?sqGL3MGL`6?<_C>71oR}SrS95n!9LK6aUKS zmz63a(9~`Qni5z9T36vn%)<-fk33J?bj!1BHt)wVqLd8@=IjUn1{{eXMjYvT(cDcK z<0x2iQQUgMA51fyKP0hdR%Y^Lw%HpE-XF(-{D#?RytNU&j2iWeZ3A}3``0OkFGNZ% zq%^i#^$n^|u;R3lPd2)W3956lrqw`_TQ03#@s{z^`QS%kcH^+BSibphWZyn{<2Kk=rsI#6xo(OW0Ps3&`pqro;Uq zGgX8&RkOHkdK8x8_|*#l*#PAg0Y=5^4}?>Y^rSbyBdSj7nD-@3d6g}C8O^EhgwMPm`a z8^w$JSbdT_++Zs~3g#UT`dR)pXHyR0>$>)R4KH7Xs1zubHB-SJ@nJLgxBHy zm`;Y}0SVxu6$0&(BaUH3&b_)D0$en}tbLc9@Qi}Y?)cW;Y>RHA+Q+dLKrA%xSdHY2 zOh9kTTNI{L&b@J9?}aN-66vHOPe{TNEETdf9+nP9^@JP0dzAy}MJ^iX;}|V_UnsZz z+0eQHQJCDWAARo_JE-5P@?kR|h*uvkxlV;iiPi@1n|Ogj9`qwQv5*6SFqW?pJ2Po9 ztp4-moS&y(L-ucE`d$kyD^FP6d2^q*5@<9_Rt!)@o*|n@-z%H;2=;9uvh}5%z{{Y8 ztqo%Qa&@x#rDsIKBicXQ`O*4}4@ul8B_f++9k7QFNJgBfe&5i0&>0}pIvLzj!1la~?}c+0PPvJuc-Is3 zqamF50Li;w={>J5V33+5StSy}LJ?jmubvBE}K)m+Y(eO^bDJ^qHfw=@}M?g<eK_@x4(?DDXVXXxLr5{KJ_0b|nRs(EsDmstomAfJmr1gzq zD)xzRUjQC-+nYuKh3%h=F1S@<)KhHIB8K1L5Ctx@)# zH~{*ihWdZe`Kj(`!sT({xW4qGyq)E4h=5lYfnOmK;TS!lq2plxwqrU|VV@4jwi%@s`el4=1p`nQm4@3*c z?)=5sj2pwijxQpNcWaDp^(=hgWybOA{evscsl5t^1Q8JrPJdooNQx5k9H?@jJMd-P zDG+v?H{EGjrI^h|qJqbPewuMwz?*xQe#~R|!i7H;Ftg^EYp&%6X@v|<+#<4qIV!wd z*Y>fy93TB2>JF}9&v${QLy9_sIXH>!a}KTnmD#hh=F{C-#G^W5o#XSHrKZDHI)R6; zsu=!C`qg&fkunu_QGVOo`b|nof1WZ)FFUPU(lwBq+o;CdwULE$cHbn`@n3@#pYbN%53}GTO-fe7J0pO|D0$=r|gN)#Kaeh`AjNb*B8IvX2&yYN3X=T zf~+&c+Bk?$T@Jk%=1KCs3P z8r7jTg~m~>yQHZg1Fs#QwIm%K+~MoAH6U?sZgb$1|DSPEvEeojQtZLJ5_IpOT zVJGrMQwi^y8{Tb+()@}FHo+1$2&S?Q3SVsz(`>3@`|e4~Qs5T(m8CtLl!g6Lb*ZX@ zqtg)VDE9G(onLJ~opck0VJ0>`e-rXEA!ky{r@4cNomqJ|tVW`>xN&ST)9vBIQd66! zC)?kgHZtgShRf6^co|dYA(3H7#A=Ok47nGuyZDo;+VQML#8QW~=(Z1|Nw9R{WAi4& zdQmvl;5d=@Y$?`_Ldr;^lVXG1trv~Y^CJ`S(5{KBkqbr?Ipc9+jD;$dD=p)V;`>d{ zO_ZJnFB+CT{J225&hSwlXCf4Scl{NcI(Cst>laFEG1$idDkKYnF#$>@u@@8UT6;MA z31L5%feVd&*I2GQz@mxZ*T}2rG4H?0aU9=12A53OpARV4=4eg=WLM@(b=xCNvx`9| z?&L`Q`4A5)lr|sEgBLy8=A!zme1r;`Is2hWA&vi_D#E6<_xs)aW6WJZ-3FwY;wu;? zvOEY(xZ0+o;*U0Rj(56R6;2^XNwfr##-9{?@T-r6!et1@{mu&8lU!^*y&gx`6B!A? ze%y-ns$lQ!amJaSyFCIvI?-5Box`w;Q5{F6;ZAct);&6VDWm%=$`4oRh=_ttHHk51 z$=P(6OQe%7=qq#Ea~9K}h2NW|Bd_`}jr4??5bXGZQbNYrlz|eT0M^NB4b6?; zECo4{(T16kG#$<@~0E! zrCy`#E83$By}y4GbyV=M{U@>c%L4)(SVp0~7OkS~i-Ix+U)<0%Y+IjnEm!Omik0b7 zX|f`1rVz~nii=b3{7(GQO@^_eID5^^*aU zB2&aT4+X^?WVb-MV8J*#N`6^v`_q-WYqQeME~!g&|mvmD8b-2~Dm_ z3<%M{&R6+qCIu^j@Y?Y>1XTQZzS`!5A+XNKtL; ziJypc!}aqjz-@tk!y>WjFfY^Xtl-~Kv*CY3^0(-|X!MKV7?=iw+2W>tb2^RwWJTwQ z@3}?Q*G(dPF6P_D&$2kanGA+(+o1uHI$`ifsG0yfe6k^o@SN3HWz&drr7`;iOIlFKfCY+{380<>A{>gga2Q6R97<2##plAB}`~)!3LXQc`~b3$9u3? zhaHh7d;p1b8-Yz5-;h4cRiS?NF26aso`BJtfO(ZQOJe^&-YdDGY3`-h9u)NFytC*} z_61z4r_j`_!}pY2$7#FxTY*jh)Wccc+vyXyFxZzDMq3c}1Dk}D0iRac*5t+?q7jwi zk=3qMZmv=Fzfkc}vGb#p+hC^or>ncVw8}v1J)%=TucDekdcIAsksk|Q>NiGA&BJsE zTKsLDpUo)g$zNFbMh~AJbeB>Ie=!>`T?sNe&!S2u#1Thly|rn;J7brxxDfL&R2FL< z7A~vOud=JKNqhq0o!CTfN;I~lUCcUu1@c0QG_D1YeJ@Ql~eCrkRKONvB4R-AK! z#7c*U=t!H)w{%)$@J*JGaVUb6S#@{&#;>$^yNfhmnT=Qp;7Od8uAbGq)knTw$=gk? ztH`4A#JhQc%t8R2ONd;>3%^=im?LqhDM9HX-N;@Du~`cBU+S}?04CEo=-0VB>h@Mw zR;c6KShQq+rMiBhRH2Huow8iTM(mu5H;gvd<6Y=p4=RFduPMsM`}{xwuq7JR9IEcg z0?8Op5yZLY@m!JbhbYf$$j%Kc2kTLMr%}B)wgzS38kR-PEu)QD1?B?=Ky3{f5v_g$ zCm1QZ1&OErtH7kXpUtP0KGH=d)mvZM zHh@nN3(dXWMJchXk_L`Gt#kFv>1OA$X8;D>fBa8yrqKiQihpBUp3#E~JLXZt>4+|xpkK*9#M6e6dhE`qz`EhrK z$cP|@IeCw1Q@+m*NHRK5g6~+tyj5;e229hZb{kDZr<^-n8;8%Jo776=gbq_KX#Hf= zSNc=?89mFK&6~UMD$9^*T5i`Ca6HJca6YsNrk6^}(bg>&ZUQLH&4NEwfIE1iSakCS${qBZD zyl&-T6DlrKT~IVV0^l4#Ddbm;7q}^uVJ5!IGz{---Lv54=A=6U!QBvdMyv%?|p%dNA^I zt?JB5AY==}fS8K8Zq2mfwld$bkaoullrIPizp$I2CUitAW~Bzy@=-$2G-b?tX)NJE2omiYGe~- zU!{h^tshOV^J26~(7AJ6rzEejt3aZ6GEfX+2^aW z{Q_xyptOK=f9q50D>PnOeFI&*9-2iy!u$PK`r}Q>bX=p9G&wbgXy5VIIiWEK7ICM6 zF#Hk81lH!~gSgg7$|w|3OaQ3UIG;Ky&|0|s3DS?Ap*?1JpX77IZ=gb>L|;6z|9y42 zVAJSWTDn^?EHny{VXJ#rE90dg`COQ-><6)Yz7){kYd5wEs0v0pu*vEJiw)>SeU%2& zCPKZ=u@@PKIyl8V1IJ^7G`3{64c>&_A|PepY0LTRdRHcT=E)m5VRQMKVgnd{yh=To z@d`S0-9p;6Xi)CR@<@I2JvxGQ3!wNciC-3N?h(JJB@;xNPp&`hyptJXek8x(edEFR zj^}Nm?9B2a2#yGRBJJgQrF$z)r?y^|81tFL*5+#%n8=SdV*usYF0BZZ5u|}}gLr@9 z4S_ULnYJGg%nrcs@pcO&;Sy)d@_%cN-)qsSX1c)@e1v|8H4ZwiNd?d%h(){6x83?a8Ly^-sgBp z+(w@_Ql`P@GsWGhM86yD86celN`Q7tKmCcg1b66<^TP}Ugl~0LE?dx#5>*y(`L8NJ zfTCtn-BkbeRuV8%_KUXh6dE`E>mjn~Hei#w-o^=|ZO^~o3gXZ5C9OzD_FwBp{s0{Z zIj~qfHdl0o#y>AsWd(~g4sq~AeL4C(kpzoU5JqL9e7=c}d;a^a+F+4wL<_#BFWn8&-6>rHl7e(fNJ%#mlG61#+_!rB zJkLMy{o%W>-PbvLV$SSbbG_$1GuMVf6lE|_iBVx-U@*Y4k}5DT@C-08u*=9uz!Ak! zFf0rVI@nx70s@whpn%xhnwndgz`)3cCTKj;RPD#le5FE(fGjC0_gw)i1|%wn%eQy|0ar#>Bj9__?A51=jJK#wVBK;a2av z=O-i2x4y8#!?b3wCv0Y?!mP_38*_fXE3*Ulv#8LEE=R$p`;h2SB-!WYcEHy9o-F-X zQ237aBh_DJH|zF(vNnLK5e9|^b(JUQbu`+M7|bD^uUg_G7-dw~lVVpDT3w9lcj!pS zb_t+2MQ`Ik?~4x;gtHn5*}9ZqC`wN*YtUhMnkYvG2#iIa@DJhhfddRty1cNi*EbdM z#RUlrNxs8x;}!5t;((;c`4bJ0rEQRzQ!t3ACx0PS4Eb} ztSIbb_zsGv0em{KIM|B^s>y7RRj%5va!ghQbxFJ2urxx~eXDPU>5b!zkTzRW*w*Z? zF1I|i^w8yQZNv7U@8rn8e!)GuI_2#38)}dYDaLxV9*#prG3CQ2p814i>L5-fx<8We zFow}EzEM+@1qbYRtA3?v-o(OCxa9q&!h^zPPqHwXU@WR~)1)V`$Rbb(`|x@-xKV$B z3WeTFRECC}KsY)af{Rr&@Ps~`=BS#9Y&vf9vbU&b)pOp`Jn@XapkSvQmhos4(A`wn`0zW6FCcjFyq(P@l4;A8M_)O z(AV4V!-Q%3^$}2(QH;CpLqagqU^b)S(`xRQPT==kg5XmQy`(ugsKbSq!RRzdSP~&( zlCS1r&Of&vzJ>nuA0~RUMh5TdaZWEtTZ>JGZG$z7;zAdSW+IVGiZ+|$1@ZPA_bS7* zLFCo3^PVRukuXUQC4qS~kNBnYv**fCMfAp5Z+RK2WyskQ*To9z>9uk?1A_@+ca$Nw zV}4LZ&~A2E&6LQL44&nzeruz@ki^#39mJDTFc{;s3*X>TmBS2p4{j=85+2`~)UsW> zDo;+ZVKwt-d4uma!>iT)AbyGIp>yWavi$ktp5m|D;U(-!JgiEt-1hV@-Vb&WrMR*@ z_Am<36bx;*Lm2$l{|ygj<67nv>W;H;t}B+zy3}~t2EXjt^6}$&p9|YhKA7wI73!5k zmoGsWdaM>O=^`wUzGHRL3PG&pIRD27!k+r*L%tY8y+jSL?8}ef#27*l>?ly=1IFHT zII+R2ewOFJ#PtPLk(R-3=;O?wmbBYckx%&3y#=KsCbi?eg`W>BeGlIPv#|W+B7y=L zC5IASlAKeF1>3!g$bec{mICyyivldm6zeOCg~)}I5*1Iu9Aj^crV_a)@tB%E22Ga4 z{*h~lBUNRL5<^f)9)A(GMc_NhZw!wxB-Tbz%#ipISw#u5UyO0pf))a&a_Glie8;GL z;^}*)52M!?L%jDvA&L%`(e8Y{fE` zAQ{23>fyHwPzz~g$L`_R3*H;b#Yk`JQRE;5cRzYx8A6#p3VB*wY&n!UlwjmH%dHb) zP#GFfilk+(Knp=!h*lR-7i||tmrxf@*V9!aL(EXgar$p@E#Md$Va6ymNo|=~DSpK! zxg82miqaT`zAx((_FP)xY&1!+F0oNDm9bedBC0%$iMUE~G*YrDidxd&q|NhR7dk?O zRqKkT)NCzCdBgdmw57`nGIJL5J}IlJa;u&|!e8Q)4y!Y(&Xqdr{>Yh?ak6$2aH?<% zYZCV?zIuF$v*R+cG-}4foJ!7`k|^^^uCy>CS18+aRNsux;*ckR*nx+MXNRZ4q9tGT zd!plGPpVcQT{#iaHu;0`d^2rxd)~{`54_Agn3jvg<#1C!dhb*j65Qx4X# z^$E_|^$>U8vzI?qXQPM+JJUa#AQPSt%@MvKe8MmJ#PUg|VxnT`7n_Wi88$lBIs^*{ z3+7FDO)^e%DTH6c`i(X@k~q(~ZMj4+xQTm+=!ol~nm?*aI~R8`rcb`&Y~$_z7;DZs z2WJ(K7iE>ViMQ$Ae}c8qe}iSsF{z*TnaIClg}<{k2rY;Jb4ldpnZ(5C7ml8{K`Spi z@jJ<=jq>!Vi^ur$RHb!#Uw`=&yNM91|@|4a^ zjPi7;88mg*PX7FmQm56TmGh14!}X?`L%nO$rNxQqi47V~cr`vZs|AbKhkVT%R&Lg5 z?aU7zwkFmIW_6<_i#v^VnY<%S?M*#bnHa-8)23kx1;b9Sa#`n|&N=)4z!RAGGRgL} zqGP{C$l}11y?#l5>8T$_hf#pBZR%_?_VM?N_jea;tDR<)_h|P{$Ph5Sqn?u~kdX^52%ZR@yWeeW zEGPV^`?`BcxXYQ#IoBh2_Vi@a-S)`l+~6|*%IeJgocDC&`sJ1IG50ynmG!xMPxXee zowJ?pmB8iT4d!LrmYe+>J0%2t*w3)tu;sq9zDK?rzLTkocEm*orawQon(P?frA|+y}3pby%ogn>>XUAn1!jOv5co3+I5g~*Sg8ePxmM{!g@B{+-p zNHi7lR^-p@=gaJpV$ox}z!?4c>jCRO`i0iudn<{SVpdaC;_V&$P6Nzw*yMSVlev$+ z(_GQq<-->TOmt0T6zg5Y+{k$;5wlx+YJc=$)?|iK{=})kcMfZjVwM^iZ~dxKC^B;R zMKfV6WjjqP^&9PG*kE^Mjd;ydlh%=ULyIvBX>rLP=#$dZQr$IkS^E>yGpz(&XV;$= zx7Nze3U@mUq%tnlaC~!qPL)Mr+xOL%{E8Koq+2O0_)_>1?~=TbPF{#Z!7|lYd(g3Y zJN&%}GcwbK36ih`N1kip_K+(#`Ipt9SuT>4jHk`6?=I639r!nqM#@uVGLnQ2rp4cP zBm~-S(SNahtzWCZ@7F7Wc(10KuS~<-R5xn5QYdvnb(A~Rokvjl>ZV*%)1$hpIKOs% z5cD}VTqNqMac^s}VEe_Zq(;`chV+KlH8-26OL*$cbuaPDJX$RFN}49iCc8_QDpG1U z#fx8T7uHSGh1LBqSuw%bWtn2tJ1-FYa3dY)-JN+Fv`bLw-6qzsvLoFVS(g^^G{Nes zR;%UmEOD9DDdA;8!K=_$Cm)3u603g9v+wDZd?c}A|90mTY%JrhEX;5+3gR=z3smSyM&%64c)91%VF zGbM{p?iTaKyYKUqK4zi_INVu{epB7z+j^IEF1+OU`J`hdd@uYoX`XGeuA!dvYVvei zqTHt3DQSWI+3TZ*@tLQEKW5aIO6e;RUkkWrxZI9MhLBi4TeDsKlwetPM)#eOzGlS#|d7 z_#3*Bk}Lrc+a2_smgC+F5q@1+J&%2+E7jeRQ+8`zvYWw!%EW!Ug(sE9m2P_Mu6g&S zy|0o!4hty@VJ>cby1w~z;eQug615k#B~0t(cILW6FrHLXS+7UZ7U_=1_N7FBYP7Q z8wWF6M}wR`4&VUFTUjj!7#MuohYu`Rh2{{DKV`0_>8Pn7&u?UF&1PV1YiPm-wSM~` z2SyOe5A0f-I2uqut*vYv_@P2n|6IWj>^~f4r=s}h5=ToRDoq6lg@moW3B^-34mJ)d zVN?nV3PF2gQ+^dm>0h@4--M{l939{Cv$MOnxUji!v)S6eVds4Q{5d-Z7dsahD{uv? zgR70B0hHCof%;z|zvW1pI2hTRzjZXXwV`;BYhY;W5!}9Zc*cY^{MuItu?cT)%Gq`{b`11=$~d`Cpd!*UbMM1?()0D#-q4 z%!E+`UsWsv!$@i_siX#M0Vn(C1&lfjkOsp%Y=IBN&+jS|8wN%c1}rJ228G>gy>uY` zmbm1?^#LCw5Rw5?jg8RoAr%9WicwPLKANwGP?IBq7%X^QMGd*p9r-1a8T$xrShn5Tsxr;n2 zWf~FM@`&Pn{(Kva07L=%Ki z2!@0+$p1qS1uU)prDllVUswKfm!GH)k{p(_ul4_tZs}X2pZ8 zN~?2&!q_a5C66@2WQbT|Ee2yjR;4k9Yo7!Eau)qF1St7achkn&M;P%$?-ISRCJsZ^ zI1`>q>l(V_-o=XD2>Ja;(%jwMQ6H1Sz&=gI{mjSM+eEy}b)h(+Kh_JnDX%Q0l<-Hy zYWPbt0pvsBy(f_43r1oFZqnDMiSq3*uD(tpf^_hjm}>_pgbX{pW7DTc6&?I8& zZVm{Oe)5EVGZ|Te$rb6{)cIS=zx)@P26NE4Xc{{*GAer6_ubT9zDGZzNckAO2TWd{ zW#o=9r>fcciNlrNVqvXd8sAf)l{)2|<+Jm1^f-$$l0#$G`bka3?)o7A;_1NuVZqAA zPc4|tWu?AI12R4CaFv+tSlfXcb|Zw0pX3e8gF=sz<>&4d)@V**iRn{l<2WjV22@%g z@Lvlsb~l@dU(2Sn!)TkD8r?;deL$P90>EQfiOC1_5d zBm3kY+8BvL5)P`V2FW~Yq4;G<1`0|8kB*L{e#3*WAbtCFl_2?Ylw%aqfIEx{%UN%g zWRpSiPowe?b5IMLMYhL4E>ajT{YhIlQfT9DennsM*K5)V?p|?9bVTpwaPm+YCwb*?3!^Lh7xLKUeh$Q z6-Q_7nQCc<;tod zH&x&)+X*at|O%a!;N&(}2G}u0=XS~xLtyW=`RM&Pdqw>M4RrAXCA|xi4 z9Np8bD9KHE_DF_cig>5{uc?IU+b)05nYq-!_U!Jea^qV9^QxjkXqJ58ejQdI6^Hl) z1!GBhOi2Zs`E0c+)9mcV=T8~r2nkpu;%w@BZPNA4TTX6jy1RV_}2-Om8(C6HGH z7>oyr)a#cYcV4v!|1~Q`g+a+bJZIv*zF+@&f7bTmzWW3uH6fQ@B-`;Kyz3=A!nu+~ zeuz<;Sz?d%T)ydoTd|pS94#K+LHGM}?G{XT_RO+RqVTkluR0re_K#qNDMdOJpyWNF zFGDm^nlV{z1lf*4?OZ)p176>B>VXfwedx(9)@@dty16?aM}RNL{n1GtvfVo^9%(U9 zyV_ZY_5p_VqV~JPfwQdQQrsMkDBQ1ibQ*%GJ9#1}glDMK?%KInt5sW$IPpb(zNX-G zT=gg2?KVd+ogVsXBdA!nReIL@grwL??@~;(1@oFBv#eDXP*HoszxQx-K8~C2xtD1p zeKBDlJqP67VBP(-$Uyk3k2Gp3OdI9pb@<5f;OHmtpU^Fbu8gV>Jx+e(2D7v<(o_ST6lkrE>k$+eV@{H^IP4_bbi|I)6<#_ z_InxgnVJoMM=1H3n4p$>43Zr2Db|$B%Jc2d+MUfo`q@L0t-IYB0^_#}O9LM)r-4aI zN4cIF|MaO?KQo*EM_aI#YMj*#y*JxwmbdVlvFmBJ+Ugi8rkubObM;hP<9~7Bm&f&@ zTc^W%g*mzem?a~KYKpV;26OxPPy#p zAn(O}LAd?)(yahdqqiQ@>|8-hfKaVq6X_WuPDUqKpkLAA>)xv;F=i zZv-cGnn7=?70;PoWY(KqV5lPM7DK0mwm&zK?;b@}O@}Wu-XX(TunQ(}1V z1~F$q_=mE7VO1ID0pNsPF9_(zd%l{X2=wJq;#h3G=&49d+s`O8&%Y25*0m#=l+ z$_i-KX#Y; z?2!prU)9MavXx$q8tAna2G&@9MH-+h+XZ5VVO%5zF@yQQ2VRKoWAwiENRq;R@W|3# zIZJU_H0%A~Jt{n6&g(u2A|H#cjr)@&5`w(VoC(jflv>YI-t`|mrR!^G81Yfus{(&` z@3DV-3lT$+=PG?{G_iBHR5|}?=7jB{)kL$!R5`czdsH*a!v1RlAd0_M_zq%I-h9# zpV?CR-esy)>_v}I+Pwo|1kl%;k~!n;TG&qYPaLvn*W7hfJqALAba& zRjC1zA{5(8ue9p*FkN!+ zVRnQZW@&nNwQ)8(Lp)iu78zp3)rO4ij|=1F}90g$nu#PU5le%ztOwJlM{=0 zF)ecOs7G|Hf1UQ~lM4$Fiyp;GLBjyxx{^mjD7M!?e|edQL%-h9cIAH*9p7$E$jVH> zOnNuTog0KsX4gR2nG5|E-o_8@`-5WDuRihH08JEjKw-SlCmsr|sz@Ivp))y0uq1HlN z?_p4O&Q&DWV%e{`&s5ERI>x0nWhCY|--#9_!}`ZgrQ}=?9$XP5UNwv( zH^;r?*VmZ$NsS_Nhg%HSRW6nBsUb<@Lpi#yPK5V(NyELgD-D7Q`WPH@qvMv- zk#{cj|J+TP{Jz$kOCF|cW_d0#t7zi?>@Mz}j7cYz)V9qgTc2LloQz42J(|Z>>`Kw8 zN#ma2zCf)r`*Rw1uxH(41LiOpX5BeN_yR=Ru`S^;-XjZ_zp>y8_CKmVVAyUpPwrzm zjQvs|hEq@IzIT!`G&16vnx>a<+3$lvhzu(!H6Hf9U6Q>ecqMhBCjKJP`0?p%>bXJX zie{|{F!{zh**Fu{+^g-#disURf~zv+M6!r-wm#Ynl($`yxIPXwSaK+^P=D`uciYCU zu5*~((z#5y>uDH~0>qp3?SdC7Q!_Ma_s8r7ux|64w_nec9i&9q5}*|r-d3O8o=^Q> zlJww>2So4%_p7d+57R~+(gRbBz7$hspQWsbZ$#NEH7GnXL`^K-7oxq5?3O(!-=o{tfu#h7`{9>6?{t*+nN zw=CKp3A0E*?WTDki_4XG>veQto4GfB!8S@GQlXZJm+zHmQB05pK++rIv6vRu0#OU8v>8JF%ByhUe4`eEO$fhxCIq=C zU_>Q{;EO@MnC5AmYzqudpW6GY^YVuEuP_KQmNb+UkS*2$$)b)L{=su%2HUD>!FZI{ zYf)97{K9ow8LkY*)>#ExDZ;%Ney-*Agt#d^r996E-}j&~%Fx~||3%JR6_-!1IY#D# zBiE1s9zMinZU5|K;(diH`B^c-mbW(`n?v0;G(5P8&|N=$zW0g};P1Q(amPJ24tHNQ z_xQY?3%?z{$m9JXG&ahXKw@ftlRjoI^P5`vl2UWr3hz}M^a~N38y1PYKQ~D97szvc z3K{Ywd{>^MGtB4AoN3kzIBvN6%BZL-ruS(odiz@_I(z}iu2&g%Chh{Fx7Vzn(avhu z8YqP@$<2dss^fMB6e){QPc(aK4sCq)2Zi=Q$?dmestk4u5-Yowsx#7xq0Lq)7u({~ zS#IQoL7{9Z$cb)(W4_mwbY-sOiH0AN@4o_%^h_XlnX*D~fgtF^d4#naK`$kOo6_s< ze82qF=N;91J~-6p(h%!U=-{8_$h%i%c@n9IE8)xVxm+%<{{%1Mbu(DvIB4azsjpyWu%;SE4?j(h_= zbR+m+g%jqhF~~B3e2Nc@@o13c%D{Cxm)vJ4*WgvE2FTYA6gXIO(NA5>=ORtKkYBdg z04~ws2@j-UL*qvLTbFF)<;A|J-Y(A@2xv=b@Z=4=y^DG1&u32uX9`D*b1QV|VAoX- zI@J`Rj5ebd`h~Ry6j0l!RIeX`)Iu1FegZbE1k=r+nPe@|IPDu*PCN1o=XS*wkx|;vaqE@gD zvBx(sFyxMVctgo=1wv_cLJwx>*)=NTj;=PikhhnWK4JR5&nK28dF${pX_2k_sSy3= z#xG{sLvLBQN*Ybr5VD;Isy z*pHRr?puX4M^%H&w8y6hT?en3Z`XP~{02;@DZhtZmt z`=Kr;sWfaEc$O$Xn=o%)ikD7@BeI9pNqVyVHINihC=?}KQQZ;BpzD>WRSaRA_r+4; zPclH-&B|p>NOqj&Br=|HmkpTQ=Z4$;My+~z78X?%tPgc9OkPc%8%xrtEe;;(uhQXk zQ%cVu6FNoYeq5)i?JDe_>*;h&gpq~Sm^_N0w6;1)GdTxcGAlWwsZO8{d9k9r7kf;6 zlt%{Xwpv0wzJH+(l_BX7IW{ zA9~vw+u#PC&lH&1$7wE9q|);=iolKI7=cuxbN)pKgJAYkImUK{Jt&UiWN1T+K)%nq z&CO!_-Yw9vPlr*ZBB-ytXLqYChyr{n%?o1lCfhcfjD2XN8bU@Sw%Csm`s5lr6IU{}Y)_n~-@*aYSYvuq)#Y0f z5h&Z2O9Fy+_Y|spQw#<#Hls~%a;`~@-Qc{hd%}(EE>B9=*@EwZ3x)dwhb*AOOc4pq zXxDL?-yetRP4zs@{fkJ=l3k%Ye zg=4~67y1zw5LBPVXK@VSF{G(A6*^WT=433*`BBN`Oi;rp=nR80DvC0jUG%ttE}Rm~ z;Q7D8*Okr(MUz)nO+|AzgXT*X zr!r;CtzMctNpp={S%J3DyB9e)K)YaqSyZBR0x>NAa(#F=cJC7-ctWwACQ5C*B_yK>gv12TEixQ*z(MlnW@-xxTOdCVM!BLEM*Pl=mkpjU(KE=SR>n z#1X#pqsMm^)`~+rw?I4E%!=;8DL%9;pgy3x5le|Z!P~;%#X`5AcMTG`{s4_4Cmsp= zkgG-I{#g87B}R2B@s3nMc=lt;IjLV|oj^s=xYf0!k?^_5{ENFqHOanA_*F;8F!k3= zJ?<*sqi60lfJC}Q9D5IASPbmE#Kn!NZN13E6k9YU^LfZ$T^Z#WqtR1;AwR1pzoIuT z8EhOb=0RvU$LU3Xmi+goKw{gR`o}2V)e`9&3hBnIErY9hLWRD^%95X<{^U_&-zYOe_?bZ;g+B_x4yBOC&ylUa5D zV^~@J6=btk99dNN)+k!v(F&UVR}oa^p8k@U9@Jk3)Qd=?-0?9~fhw3SVBlk<=G%LJNL3(6>)>Ly|>l6HKgVZUi&Jf1E*(KKt^+-3+p%R|R-)^gLPZ zNfLygQP?5f+SL62qipqYwdZdAgOAcJQ- zhSG5Ao6o7Mp+;TYzly)2IiOK46eyHEGfz<5g~{b?$0WcW@5N6Frf%xm7xb#E<@h6k z2#XRvK=r&G;mrJYxzpN0_`>BNS+1;qw=G0ng=wtv@bf{(Bl0=5PUJo08iU`Z$2NrV z9G(4zIgr3jYXjt;g4PUps(KfzfQfqz}7S$JZNFYGl;wBWv zSs^=V%WNgNcZ-fZDw+bDFZu~_Qd8mhTbxX615_~<)2%C5B}iw9VeGbzlTr`;6m`9? zTKTuOSqN%FGI6WQABS6~Sxc4+nDSzDt|Q8-SXkv;m5x80?@bCmKzkGi!5W0Dg<-$b zJ-N8yvBU=Y`ZX13AujQtv_h;kezn^Se+2xy%n1=ixPiV_>+6*ot|uIzypUk;3W7#4 z23KJ}uYo+-5QpP_z}~`qzpGCOpRnlYqCf5GO*jSP1&_NS_w>n(d0TN>@^RKPkajY3r028 zyf%&1q%SLjEA`nF(rShNANj^Pq_?~0LL!PbHCIAH)>t6$P|ZIR!jCfB1oQ1uPR<7L zR6>h`YHXj#7|K|m#*(5`f{w#8FowfAx8v!|wXA`1D^)BN%wR4PF0)PoA>mS-VzR5e>#eV@p0 zICqcOoeU(9dc&hO#$02B8N2zas04fFvr*?SnH0$g@+voxr5uoG+$aW&<}%V##mC7U z_GoiG?x3N<59-e)0RtUBQY^LmY7pnA*iQgdrJF*3D2>)R>fsz#5 zN1@Rb7sYFabi&wN`?d98<1Jlk#`F>=Lp%`PnUgPo0a_GQV$ZDx@C2-0S63T}q>i$$ z1x@C=3d)arK!^vO{}fyiVtqt}=@wPjKX$l-L_$aH)^m#t40kekC>&eVBzn!$5$q4` ztCV>l_HRc`C)c<8t?1u{(ABNHlG@u~jvlIK&KN>s59>6p*RtD4`_;qD#zM~DEpt_h znRYu3185!oc|Y}f>V(`+%a8-dGDRt)sxR78#8~um^?AwA$Mx0E!-~0VzkLwoSW^5A zR?$fa9G|x_@?d`EU7PxG+pW|dB}$&%PZjyiCa4$TkHC$(K0gbe2fEPVf-qVFtwC;$ z6%Fu8-K|bfz$YKGKiR$73p05;=4ELrK9nTSkX}c3B>88&U}>|*2*~zH_7@T^#w6&< zUL4@0Z@xsaT{N8#1@h+-M8}`@pR@o2dm+D>h6NUoLH$QKaqQI%MV^4fHZJ=Bh_6LD zRi+Rs1Nk!Iz5Dhg>45Gx0qY}&+w@xL)@Q1HA>~|HNYirUfZ|k+_r6?WZ@}d8tJWFK z+lN&nHnR8)Vu!gGN6FyCs4M~6#kEHqDzVaJ5T~JxMCYDZwnMDL!(R$xIl{4p3DL7< z5qu;8AIV04WGDdZ>Ct{X4D%Ts?`&k=I1MuWjiu;$M@0Rx%d>EvpR*+HKOr zE;n_j5fU_4P^v>wjtb;c?{ORElYSMp?L%NdtLiEjq^5*b}~MEG3V!Wt7!Yjp?8Jmk%-n)b7}VZ)-GV`ctw^8ox793Kz&>QplTtJ&3tW5Bz1Y*Zzr^hiJ68~`Q1z5oy53c+!~yKhZW(kz&eyF zD$TN07PdjbNVbz%vP$%=ab!Ki3&wSRQi6j@uqMur_fqBEiut+M{ zfN$njjF`HgkH#Z}gSMiRlfW=qD}~0x%QeLOC^$jkw|j3Rs34~Cp8sr0p8uNb_<8e7 z9bMU6JaO_T_>W+Ua6p}Pf5CoL z`5)MjYnN)p!L@WI7mmJY%<6W(!8%o1UFE5hH9inq&!`VC7|0lUzHwR;@}MZy4Mo;$ zmIq4z=PgrHS}*hpz3+L!&nV45Sw4vuissQ%CR*S8VEsq-0mb3Y`E8GS=o29txHXy@ zr$^$A)8PvfEY7Zok#R0>*Hpg&?2NX##bL{8RPtPBL@haL4Q=R$r}44Uzt|O&l4x4p zahS`exc@VhmG)me@)f7eHbGn#vU`-7(l2xVMFA|Xtw~Rsr{~R_^M$t~|3bW#&u`k6 znBg-?oKLMR+Ox}5vHn3%D0zZOC3tm}2ng9U#~Zft1+EEX^@%JPvhLr||IG7qkSv`7 zkL2+gP=C0}3ypoNJu9!`VK(e$m%V60_e3lCvK9GK{0s&8RDL> zj6n){|JxdvSfitCf;_}jUaKKAKu0^Hhc47=j#bftB$qmuN_#f~4Fw_KpE``>Xxd61 zH151s350wamL(X*{!EPWeQUAYhtt7sCRQl|h;&FZYx7=!bY8hE^tt5VH0X=W&bDL_*OA~=o| zh~SFZn@VE?u7c;jvcA+JYWvRhw&C|g$i|XYVxc=YmtCE(v%7XO;Byt&N4kz(} zz=#I=r4h&+xdvmaiKc4W@Q{~n7lp4r*m3{l{v}Flq zmg*H%`J;^0_rE4fv=f{#Q|C3#LjeVS1NLStMg!%jP|%02+p-)d@loH^%wYgGJ&?+5 zmR)?=M&LrsiVi<6S^gUK64zrVesmUt<$@;z@8d6Kr2iQO_+Nu6V&XvoDvO>hfu``` zt0Egixayi%#6$uQQmEf01t3e90e_W~XX3?fo?tLPau}b*xJS)({S00L==SPWT$~{* zD+nbRE#~pH{4WOcjds~`flKK%gHw0Zoqk7CSuPch+mpo>h4eyTn#QQrUF_9IyrK5h z0;(}wmd5i2{J)8Ysy|IjUT{}bFKvsH4ATUfUJ!r*3&0;7?9zS(M0}t2(j_B#;-0A6 zhnmQWLK^Kvonm@@f+?IGtm2?VY`Y&YGBp&MXy3E{;TR23WU@E&j2{vuJBB7C&&Y7! z*XgkIG~tgTey;e}*;tTZE88?cNnfZ_SMVpAuateN<#OF0hkU5{x*n*F4OME07Jc_n ziJ^wa`)TUNjzo)65WQ|4;I7k5MZAdj&Apvw^IO8;;rV#Bi|-HWU+6PW?E@COr;S~8 z-((L zCQG65fIJB?1A)#|cDi*_IByiGzy}r3wY(kmqx_u~cWa4Ej zLPwd)F6ZOV!NT9My`h>wa0e~izp|SZ=t2!tiS2kkM)@=r!3zN64GsMH)JJf4T@BEY z%);1B<-ReQcXGzNY}|2c?Rka?2_v0a(BDgg8LZ&EtmG!#V*|Em&epOd6<4 z*j;MEiL*Dc=RD@RPTvlw&B+FI6@_BYAA9+)x2nr8qV3F7>-_5ppJ}oUd7{YWUU!=v zHkY_&IqUdKI`0P(V#KbhkLz_70TSOmNL+&_{JD9Z_jMg}r1-`FIWUjwIM^v(1pNx8 z#`9lEz7*L~F}Iw3mrIQ(&+n;MF)%|v?-HufHgzXnDZn*%XM*>Y&zd9lHQ?jm>F zukWQvf#wTMtV=u=n{`0|`kspfG>*Z3e3*PABu?xL^-1b!;wq0(pKEv1%BDuGOUum2 z{R+8#bg+G=*VTk!oQp{p-?F+TLXsN5cB$GlHRsuUtk#Ss@&hPu9Mqr{h;)FizOW~U zjBq6*Hm2U$J9r{@c^9gxps9SM=`tmOp`f8u^0#==wPy1sJNZD)NL&syHTTb?y)+AgBjLcl1_my_0DGAguAfG{xsb;7I;hL* z;)^6DAL|d0_GH3wX7*X=_x#N6j$Yg9HJs;4KnDK>)4;|_v~91QK-=6233`jY=3mq%TlyGKx^gEP~#$WBuk9{ zi1<^8EyX>cKh3nxn;t5Fg14kl5lg7H{D*F$HwtD=xuz!oX($-f0G zC_AjT2l^NS!1}oEPB?KkNP(=Q=r#W-vM1Zv=o>Z~2q8ejaeMe4eN0L*7A=o%9#E6v7?3# zt1KQj*td{ka@iq{fqdsXz*!0YSASKka@-h9kHbm^-02W)&DbvVv-KXygk`7pp0X;Epno7==4ZkEf2*_xVZJni-0 zLd6AUuP^cAr#)F7jEmu74DLDhY@e!bC0}>Es(-(eC+ao>lvUHxl2HDQBwuh2^;XYq z-ooVQ6g_gj2??b_ww;ZY3k$YSQXI9T1hN%T_yUNGaM7)Ff~yFb#K!!iSU&IBvQt|b z=I{I0sP^H^-G(eS5SgeS|8~5RQD7x8lJhUZwd5EX#6Q`pe#HWsLwwjs z^h0{OA=}qCUD!vNm?3p#+TzR_l(m*=d>D}txX^IoECwFH3s9}Q9P-0GMS;em60G$4)44Eb%4^oa^t~hyD6Bg#} z$^B6_TND^7#!=sqP@7J~3b23Z2a#|(Y`17#HQvfTHrxt}T`Yrf4@Gopl7DOZFmPCY zM?m#0Q_#=AZ?xiCNLpn^chO9(Io&zHS-Ctm2^ED9&=E?Bkm_U6=^iqyektV?c-^NA z)OWs4$k?U63{ihc_WkUG-7j91jc_v)Uvw@hrEeH~Pm@YRerE+Nps)F-407m437g~F z5l%6KARo98(BN_)yVrZr?K#VQRznPhyp)4}HLWH|RT=LrivsQ08Sg%Lel`S!kjN7g zHDQD@%bSGjDta7%6;0X#(4^cE@{e(Ax^99U#15~vaDYa*D6cqtrp(scD{;;p?-X*8 zFIZTg92^Z}PyGJ*CxN?pisqQv+u5PS-}RLspAuE7+QD@-!`xx_DcfU)jI+lmwiohy zSJKtul=xI%4p&nVfX)LdyMH=Gw)*C6H8#!;p1@C`*K2E_*~7*FASiYuwJ^DdHg#_k zkAxl>Q$IwQYzXoNmd8=%*^5=W9ruize)%S;`h%wltLoK*9W*3B=gxN;7$(<@NB5{q zuo$P~>*5NjZ60L(fi966-Nm-i-+gVnd}gYONq8J+^xUBZP*DayuF-8WEiI86V zEnny%Te&T0!F@DZL5ujE#A=E!@IxH*s{FDTr$qw_0Wv)0gSLT3cJt5tG85 z5|uY1Jd6VX$_YYja6cQYx4nv>T9VSDxM#dkaCcT}{Na__cneeBOu}f~pT+xHblIm0 zEuY^Mx%e%;&w32}D?=7w;1BK7_tnqU+roRmi86uj2YDY5+q!FJ5f_$*?5b#>6dZg7 zznsfeiKi2Gv51di`;AQz#|wcfnry11<@f3q{T!4c7U33po2G`UhZQ#mPH89~zE3a7 z6**vZG=<6UuZuqm?4|d8{lJW-WvZg*Do>TAgO;Ve_1A-Owv;+$LuJ;_ z&irm8pm>PnensFP{(}D~3bLhbXJLW0i^h(+uq{R|S0D92Iqj2t+)i`2iWfa_W}VLR zkK%!3FZvMZD``lWfWXHOzsyt`C>ad#9qEYCW}hlAt4sqW$5Uot2>`}0Ky)=Gfu4X` zYH*HW$&f(N_~7qovzhjXz^nx;*tblr*N|w)8qcv&vkoogTn2qv+YkVT?ozk|aa_dP zaGsD6ML|x`RkG`Zw#I0rR<5;x!dLF(k7dbF05ZBtJq-TQw`ePvkG-S)POgD@Zh!w>?JL#H%INq2`JIY=W2f~3G8Idq3~H=>|) zBLWH%iXsw2Tci>a?;bqo|DNl5K0F_|w)?mC+H2kGUiV%@zMX_9Xt_cvn}Yoii^@#b zRQjG*NzmQIyE-^-_0W$U{)QO%!Y+#DbIet|Ey>aw`u4K^baDt^kEe_T@pxk2xDF?t z6>AE4tmga&!>{S|AP2j{4Kj7&ZcsFIk0Y$TlV}mWJF16$Y}3ol$)Lh+Djtc0eR|1Z`*ZVDE^DGW*m!&iL@S_>KGtQdKt~Olox2I zzT-oJN_TR)iHidNVO8chdZ3fTm_!C9>Q#v2oL$MJ`7L@ zdY)7#_5WX) z3MqP=q%Qtl)dC{#1PgfdZFLa2g5a{h=)EClE2VylPqH=@Drb@z<4oB)?4M?Ddga`W z>s1gBdas&%!DFBYITpKfdrD^>hCeErry>$M-pLA=``btO%qh5pWDABnvLj|tZv{*2 za^7YO<=&$esQs`C?*CJwZgZniXN8D`$JQ}ZFAaF~SEg2TM`l+o4j1GE1;BRS600yEH=rFw)OzNdV(RfR*8DkHOK)VS zRX5Ff9@(eg(Tok7$Nv`r)NIHJ4`JGv0>S2HEJs4td)xLls>oq((A{F!IrY-<;_GYK zPCL@Z^#npGH z$77UO;Gdts`0MJ7jqmSXUzm#u0osiqT5wneuM-2;;dnk1tW`HXe<8TfAH~WE@jlYN zu@ZFaMSE*RhkYvd?kK*M8OJY$mwI0 zKuwC?cMX_pCAGurIO>Ss`d%(~K3}x=v&11P3u zFXD;~GYs^BD&_hl0C~<}br8J5#o|a_)U!lV5EFl*%!5D`Ekw{?W@ul;fx<)0LP0#I zbbrRift-DszdM1PO>vq|r|iPQR4!Ygre#vAFDt%x2?~(?0a2^a26nh?hXsl_Xa{>t zLCB;eA5aOUR{KuAC)Cw2>wRuJq|S5~nBrcn$T$Trg!Wt6aN=WKq~~f_%fYX{Jh@P_ z=K(PchwNpp4aRHNzfsnD+PUK39N2RYttX>g8fbK5=ev2#f0)X!C+7u{6V2tPl$!p# z3-|zR+uz>VUAzqfT|)HV6(H3e7|$2M@FrVYqsrYnfxaMGnExM&;YXf~UAjc3fSUz? zW1G?bOoi!7@s6is+A-%)$$&S+t`Ubo!2q{AcwqVysV7;W;2DppNHJ_;_ z*5OKIv@X*kyYe3VYt#W-@E=FR10}L6KWd#s@vrA)h^--mAy&UMAP;ddfq%M1cb@#c zgk8xGpYLr0i8pjMzgDEK8Mh8b_V)eDtxV^Dec>1gJiDsCGqZhqUQ(4v`S~SJI%1(k zfwwMExi{^E&hHQBdvIRR0KZQywdC@s(!}e++L*ZW{Sx&QqbgfR<=F67ZsM*ykWJe< z+PD8%_W)KYO^uAO4F6MIYzJ@U0L8zSnsM2;Jn#D3cV-O8*$3Cp?z|w7RK@WmB-iOW zY@pkAtMON3|8Ag<8Z~m|B8ub5V}g#F!#^@PGvME-D^n(Z6u^*m;l7}MmO}Vb!N>2N zWX$Pyo}a)KW&1Tn!k<1&X;^vAK`o7mz?8w;OI2!2fHEO!fWos>@u~jUTo`ibER089#=D$lf1wJ~*n$G2K0;1kx8V2FmtoTK;p7__@+5p)Eav5ZMQN zG`K(png+D95mA2&hgRsTXDnQ;B(>jh{eHb>vUCviQ8j`CiJtin_+~;Q@alNCWCFQk zo@SZd3RW_j01)O?RU(#Gm2C-b1TUwK$h<&uEA)6FE*e38L#eMCG_OiVfr81rbL~7w}$EYXjOba-s6mcz9^M1FAuL#;y4X_(YYT#a$$hKNE}Rx@}j`+)MH#d685AuRdceh2>^-wqPlPSjrB9lh^m{*lLsIldkkVZ-0oj7+1BP&cf3@ztc=@*abkNt^VGR*F;&|lT zDp3cX3b@sL%DRVgGX1FXgo6cbMh;>kk44bKA__fx8V{%U;Y1sx`2og#PhUL^$8~Rc zxUaM8ZBWDh>OzoYgb?$E0nVHA9sD~KQOb&)ECn8-`4kmpBpPv)XeSQ3+rYiVfE_%9 zmxPhq!5~FMFiIZmTvoS`xJ+{TSLLNaei^XnAb)Bvw(p_xy86DIzI0~~V}9a#V2^6O5b+)(lGthKaEArO9!vh=BGm)v~V3!{hfH^HV-lm$3F@%!Ye zA(#Fmvb&cTDlQFGKV%5Uq9B{Ql7`o1pF7HV;p?|oS6?{_%atEFF5C`B3TlFLbAZKp zaG*`0T7bbY_h?sj4i!BYK$if8Jrsr+B5wR}cAO52!@AyGz!-%(HK>CCI6!NKI z68OREp+NX+hOl?=KLaH zD3Qr);?%Pu0)3vXgE00Pxu~m+NsM7hr%1RF84Wu#X|7KSW&~QB^ynCS`xj=?K$Y1; z4?<4%Wf7nnX&@}+LActZPH%hv4SbhqQ|ZGNO!F!_KKmA{T~*9~%ds`!x>u|oYNrsk ziwbRv*Q3HJEsCwn>=$D-$-WJi9v(%Fv!?X);aZA<7XH%;%!P7sel(j)fxgKiA=)W9 zBGyK63N{NiYwj|^$k71|KNo`K2L~?X+{=`gYU1%<&lm_%V*cu=JLoR2!!+I2_gzj{ zeaD1zK%wpP4a)p@s4R}8(Cr(_Q)g1{0gr+h>9ixL=#LqQgzVtvuZ9s1uGU%L+c$hm zbGfQW>^FSjXdUqFp`o|~bH#QnM@V1eW1JBB*yuZWWPzwD^|l%xdICsYUR;NTcs$FI z6AEFU=3%xH@IGj;5QGnyGrg^M70gFC+B-^3kMculf3RL`I4TsAUdV5J0vhF82U#5y z>EvQpFdxgzpBpK4a^SAI7Y1xKmzG~lYy)~SL0-aS=de4LFQQBrUrn7N@^dx-LBR8W z3=L>02J`-G?Rsd49STNx+`E(e@e$BG@Gbd(KS$|!hsT4W)epyhy-M1K!4IL37%2B> zcN%h6A1ikrerF@Nk=&|~a;^WaZ;VN6h^RqjXKC!+uw-Y*aS_5}lotc6 z0aFWft`x9--*X3+s{ZI5K%F_TBCm?CeF$dda$^t6+M}Mkd2dv0krfA?p=8$VphDf| z;3)d>8}cG>MtcK&c0=LK?aGIBr73GQYhHJLT}VOkb(xGqzGWks*lLR`A)uN6(z2@5 z&#$U(QYfIB_>7x5^gpyo(oa%$Jf!=vTJB7#_9>nZqa31+yJ3)y)%u4TrDvSd&DEh} z&R%-?ml&|s2hgB#8dm;$;i-Z;(~5Nqjenk38+E4Ygg@d#m)=UnUKaOuBZIxo02ciW zU;e9ZQw{~CVv3jy4M)sVQ#Q{(X@o=($_J0_9gcrgyEJA{z1w#Rx=-)NNKK<@sw7K`C!72kuB-ED35N)Z?l`KPGz_2lC&}j4^8~`YJE0D5MO#6q&pdbcI zgodFwxyvI4-4~R!5eTX;QGKXtSwkzdAU@~&|GbPP8%7Q~5-rI7q~LqK(Nr(;yziPq zM;6&QaRhWX6&(2qz3CtBLTFPvV;(up+pi;6x?|LQHwqR>Ve|`HqX`KmV>rI#h(=IFRx))7J!OE zlXp5Db)yQO5ta`u9S=6EtT;|V&5!rSJ|RBl%K~xhTUSA&gzE_Mw^ysF2di8c-`Xr$ z(f^QyA*Au->hsrbhWA^67jSYIpbai+rW*hhr$t2Rp$qvJ2S3wZYc6QgIJloHdmGO^ zdf6^*+Mbf@%(vPHhl0r?aXFb!7#FtNv{5ttYUsG~Bl2tR0-uC%SSw2o!p#vECB6@# z#BQM=>r&F3>-z6s-YF&saWx{%t`QGu@khc5acaQZ3^!i#g}_REPPHec)0_=r_GSjT zc~lAeUpbV&=jKaDG+u5J?**%OW(J45(<2cIz`K78Pjva(cMFHwN$ zzxOAHNXVIH9rbTs%2}V2XKF0WOMG9F5ZyX%2)m{t?>C_KDHH@(i7U?2LEwo7c;p24 z#8s>V5yIGF9Sjxo6gECtpqr|q?sAb8t!q31pl`r%6;lW|10+!$d*ZC#_XOKbBT^k% zu48m-R|kVpo({xSYK2U=RikYkIG*VA&@qG=kf7>4EK>(oi7TVv>2Iv2Rd1Kw1I5S9 zPs+EqAYW8*GN6Yng&L7SAJXFMq50#Ge8)$YdIdtyXEa!{ZM=JX;C4GGFV>OG{M|0q zihgp>FS2C}gIv&p_~VMdc@nN$X`@gpwwPjBjUNN#8`Lf?xH5RV?)^MO0-b?#@ z^@Q^|8d!pnWt%_SXJx_6o)QSAeBX55GsNjY zC0VIfOwe_^%>U#;i3uix=KjS4x};R-ym95rB7Lo*+1~|?diQm%anor-_B0pI!Kljf zbE?P{FiP^@WWk?#X1)~bf7X1B)!CkK#1X{xesXx0%}mxOy`GCag$4YM+W0{I)%8?P z?R=|E;JEGY%fHC=OSadNlH~jD2{H&i=?%Tf!1m$&c(6T%8sR4uMfCs|zOs9o)d33& zJgEULTaF$)1MG9avMkDAxHTI+9Yw?645V%_&(dMm0GO3>XXZ*w-7iFYm({@Yoo6hf z?$;u5#jUIslgRnYBgMqQ_J@WBa=C+F_&g67(mqAL14%d9*!XlwaoZTgpcD=p{lc^p z+J|9-YD|R4{YkjAKkue>2zhsdYS>Z*N?cSE`^gkr`xC*#K;4*!%DpiJq-S~=&xd2d+wlp#DJ zZgFgxuT&*Spm!yFK+JtOYi-6mrV~-_?~aRYWVazp1K~UG%S4TTpB%8D1%6TgP5#)d zo||FPSnWy!OIU34R72{i0qaJTjz3K8v4A->%FwKz;?1Fze!V>3M&C@CccHzm(4W)S>Aez-&)(scZ!Y7V z`ubst^bRS^DqhX)om5QST>+gL6;ImCm=&$rtT=}$b`cLpRV9tCf5R}q@T${UX&kp{dM9EG%>3DWc z{^`ymw9(N`IHx8!Ec@0Ux!zS|?>RLj#4z=5eYHZ;wtw?@&dy|UOU`l(e&m+Kg%LF- zQm9t?Z4ul3UvnbKmZOb>Uw!YOzKh3p)?UwBuGtkN$_FDw|HsJMmm-aR@)xvu&u1C1 zN%B2<7&~x4pF}f&F>Z{0d}ZV>UEk+ad3RV38Dnvu&Gun(X~?PBNf!ewUyh>PxfPl4 zm~CuUXM)HI^+MOsojOdF13d|@f`OFlaCX{F^n)O+lcJ&QTbXKgWcxne2Mi*<{CTT< zYNyrwc2c=g;3W8A;au@63E3ebDIDGD4^UdDr!RXE-TElbC+;&d{S=Nb7S#Ev(L?NL zI4f8eMLe>Z#)aqYdTolUG{8rbh?=l>+psaSfsBBfVCUTzEv3Op_jh9a@D^})ljOw+ znF4rbx1f~mA}&~;1tD^Tt7jQ9A=v&n?~bS_%K4Sw#dQ=U1qR*=9ekA{e-E}10h#2D zb7lxe*yX4)v=|%4o^dW@-OA26zu)S9uc8MHRz_UMOPyVfSqRikSvWU@D0$Y+N|k2R zXB_?+AGB&rsj^glSxV0jQ;Gn-WMmSy%!KA8Bdn-E28p6_B-nM&HTTyK|5&R1RtQ0) zF}%#2ZajHFC9y{aLIYv`+kHC&!=T+hXL6$*%+}ofv(A|2m$z$qnE|K-2$2k2FMQkO zC^e>HsDnZ0NfasabT1Jrx1lI|*doElGbnSyHuAWhaultfUS&mYDSs^%iU|*;TK9t( zo_x^6{{EvDEh11y>s0-y?sd1Y+8$i=^}`E38lS9C-t3Y{a5%JBhe;kWxV0r({$c-j z%^N)3=)gg=*@y^ zH>5WrUs1uqmjZ=Q$g1JS&I=@&K4cAo^0GK#Sc$YgWSB=-$cyj^Q6p|roo^M(})nchnJx@mOnr}qz0eTF_ED7up~*G4U9u7kU{xSNEwYuj2#jkL6)W6 zdw4`-Aoxq2Fc~E-64TBYKc)9|w0atGHD`@FETe!K{T#Xdh-mY}s2cOn%m*%TuF^U+ zW*OO3h3eICGrniM-Hf>+uzShiq^N9n^^jzukk+=xi~qsmWrNg1f^dYn zS0tf@J2bw_nD+egtDO9tkSz1&{Rg!q_VRL5LWOm_m)n@0oshxO$kEwCYqD+qft+@~ z7CPheIY0_4F_{xMS1gZ{)Y>V(8+6@v$p{xbRYM_czHa{a;GEKUozHsuSK_+w=cp$5 zl_$@#8xp0(PZM<;(c{6CGD6EAv87^v&yoK`FkY3TAP^Tv2@Vd4c~H__@i!re`|-^a zY%>kFO|Q=qPVg*7Ji8o5#(qoPeV!hCmFV?GlDo){t+!FGxAZ^PFdGJBy*@fZuePff zuE4_K3Gqdx+jgZGmgetK582~Kzxt|S>BJOsd8uov+g7+9gn`39Vv|RwSkFt-!4Q!> zT0`qLgpY}X+auE&KmZ}h?!u3;vyOT3k|#C4NXFpe#)dK{#q=CMxvY|Pc)C%Orh|DA z6wwlRt?=l(OCvW`%m8ZT;$^-WZe8PCX&RW)Q+bI$vm&N@?h9$tfG>S93t#Zn!+!s* z<0QNlt`c}8Aq9WKgD2V>1vuufovc+4IZe+35R{i@G~8~mG|_d4IxxO5AWGuDkzcG zj^NN2wN)^+QMjsziu=-J`)dI}mdn?J46uUXP1J;tvlnh!Zqm)z2K=N7dB*s`@0(EG z+DsjFO`AEdIQi1VLnmM?Nw!7*^6+PJ?>VY?s0Tw%$QVR5QJmVpe%<0VH~5rBQSQiB zG1~JaRbG;!P@Zf3!}{E4M(7`5LhJaf_LAX;70BFN5iYvM`gp;2zP%#W)-T;8JmH+a z0BJ}_yXdmjl^^a^C@p~>ifl2Lpq@`g>DLro1 zmpc^$&Je|%q)IkPuadE=zh-%KTyIT^lPMQD%chJD-AId})njV$A)J!~LdM0c)o@lquyK`S>LgJvI>JTz zSJ85Gxm%yII>iZB>}U+(x(38vn@Oui_5P%ii6O^1`b?dby|}thsifx7Wv!insjwmGJi#d(IX~J~Y72Qf#pX9*;Yk`26GE)lNUV<_Cb4S0$QiP@Q+pybejB3CMs|fI zn5nDWn`vRLonT5@YOID}u++OSne{KdlFtrqQ8-?FIZNm0%(q}iT@1iwTxm<--R{Yr zjM|agC}PZJ#4#guPY|3gBS>GnHx+{Npd+F35|YfldyXkxB!;}lHwamHe$_u_|1fGc z!EK_=HzhT)7}&#=!GXso!w}c;ru32X#8t#Zw8yN&WLvH%kg(cK#Oq*G&d39I(rgqXd>b#;>3O6B&mPUqwgK}>kT1dEnn5~odg`W-JeluXTPcK zFr<10pQ`V2!%o{(mF0*#bwxhJ(p@xoQb8n?b>6c;l6gXUW7pO86bxUwKc0ivJU4(7 z*ye00R8t3(-Jz^p?2iXXLWJ;b4)$*V(r1TPgP1fX-l^&`qq#-RQBkQN$xd10bS^#& zK?hP6>h8^iOsJQddbvzI#ksYb479%^uTgTaG( z6DsKjLI8>bgn%DBZ+24UuMvhX+o5(RZF6+bALuAVQ~8dghWk?Hsy-(+_zU*^nfE1b{{A1+vBnSa=Mfb{=%YbT1~DZDSI?fSx>)=zxV2|3gJ-m&W!2^${? zY#@IqEecc0lb4X;TdEY2kxvdb!Cd4RGHo+Lj!i#fEiGLeB}vw%N##&>+q@0os;X3Zn#Z{^KSp6me%HsD;5 zWO(57$?rg~q5t6(<-wRgD(cpMVewz!PK$of@>xJti8DoY3VkzNJX9-m184;iw{5qb z_BDOwXp7D72qJ#n92uz+*LeTd;O*c1|0**!u&TZ}NkRmaMMIusFNXoU(9KgtToErm z=U6W8x`koVTh009r1@7O^##G`&f27^tlgG(;Vp>qg~h z{PffDfrckMrWwlwN{D%oTX*?M&y)aH!wfMmNBG*G&NHaz9cAA9I{QHsTUeY~9`LzE z*mWeW+A|--40&6^ETJV?clN6#N{2t+F3;a!Rhtv&&bY%d65cQFaAra*tN?myU};%3 zfCZoU9kPJ_(kscx&J$7(lG0@mBaQn!>F3Yi+x?2F5 zqzcIDR)bROMbIju?Ek~D!6)&rEYJsVCm6)`2SaT#X)Ae6cq+(g9>`E%1MK#s? zM7z1mkF%s*`FC0W2Mbrix0AlhigHG1c%SDo;16Hd@>0J98>=`$n(VkcBAgxETMag0xEZ#~Ie=%)K*M^mnI?F-E~=dP=* z4@Qtlq>$r-@`=%=a&s#QlEgclzw%GBgE_VfoRAU8Z-Z)~AUPwG_`ps5%rd;31OQPM zmt1YR#r?%fcFV^5Q`F!w0=4$iY_e4tCr0t1yJU#A!~riw)~04DcA!0i&|%ziN_4*7 zBW)map(pTpeu%G`%2+=*pA}rV4wl&CMd}?xnGB{2zsu1gbhlQlS~<=6)C@bZ!dEQs zUmF66kLeb)Nx@V?(pH+IisC%U#(N+dPSB_H7`%Sh+7Zhs7i#9Y)#Hx_VlENQI^rj;n>$=%Vlj_ zqCd>X_ok(BMYAmcK#0g&;~Ee)ZTTr3t>LLJ;x;*QY}hhj)^YErz9vl=W5dy=)ReO; z54>8DWIEc}8>LYxeO!DR=t}#by+<)V_Ysc2r5e9ytnKbgi(SBqTwvKT@;xY0FA^HW z7nq}TtlnK3a)S5zD?$0+j;Yxzx+D6YvnGyEqKC_)+oQc)A>4SPgBA7Xys|85XQ`^$ zgy5B~W!+Ci&2!obiUUL4-f`T#C;8jpLLm@xx;l_DZ6?1X`d~zV^+Vu~}0*TW2 zWid>1>9tKO$}*DB7p!PrxL~=Th|2F|vFtWKm8SEghAH)>LygfyVP^o4%+LRHm_6dY$2p1n$7}^uU4P500m%%3mi7EiyIiFfirsnf}7F zG#&nFG$XeCpm1Pzrf@PTXKmU3QkWqUjSqhx%)!Y;FYV9iT>8jgaLCnrvUfrMg0VH@ z$T%Y@Iv@j~9S_cl50)-_hRMAQQ_7W>kd4%tQEb@@yj;cQsLW(O_jSX&)AohL=)`6l zZC*VNojMzv0RnPoDFECZ;;gWc<2iss zU3vj`wl39FiTe|s>L=au5O5WvjKbc18T<8Wa+o*eJRW~n*=qDdHTls;%j6wFXs@pa z1K%SvzrPku9Vttu_{n$Ac*db^aQy*|w8(`+fUvF66|)zF)JuTwD-b(#zZPle)Nk{M zje-xD_%tIELh@SQqkb280jN91$WmBk$vN?Jp_{<=Jnyh_-d^B-(w!mN7>_T^e|FPR zgW0pcnZtu{h*SdS5bJH8)40;MZ_^oOn>K^78a6x+XS6rKe(`l^d;6+^DiC%o?vz7h zXpHfCEV=Om+@N}!L+7=v)xPWd6uZbS*MPQtbV>*a(KBD-Vq$XTgfvZv+G+LR7a`VZawvb?lap;&#uxXebw`uT04~=SAYMO z|CE?h?fa{%Kf60sIaYWgRhlHK0w?r92Z5M7%yB;-h&p@71ohLBk#YR?cAlR1}lejwvW{Q`%o@g3s^_hKPt1o|46hQsY8SHV+(9xDl z2UALu&-zIG47T!dAsu008b;j@5Rt~!RRg<%$7t|Fisk;w-ajR3=P2}UW5=_wQ!bc> zJNxaS4K?FwYh$N^KwE-yE*gL`!iv^o)C=FjoQOu>FKbm(YxRKog^Y^?`%5mY>snr= zkx>kS>eX9j&trRKc|)d&IitT<${MVw&Tn^z4?BB;h!MEaA|W_*SImHEbAr330iQz? zvI^ip8NF%VLw0mD86gJ;nT&rzwUs!V&skHeM6AcT1fysMzTUP^am~N z7}*!6H$!61SCa1-e<0(y0Y7)6{zcy~LWBMwF&+=qNDt-ekMDl6WV`cgKI~v6!OyRf z$+P=J1(in^Cor0Z;5WXKdoir6Lm6NgKAIp65P}^c0k)B<+b#n}`@6s9Qudn}wZ|S~ zHx}OI*@23(rkG{?^75t{QzFnCC}|p{A$1FrH)9>KwQi}OW_4oj&$(#r)VgO5{a&mB z8J|c8SYuJM2M;HCsium5s`Gg`^*o8JEXs~fY-wyq#iG>bx(9|!=IuUJu$e~uC1`*| z0>+Y)tM(LakU3WJ_9fe|E>-|#LQQ@==dRJX{}GqZfvg%dQos+$Y=c*%=ngW$8!u#F z(;|u0%I3YCGzv36UfW|C&PSpVI4omomGOjQm;#+mSSD)e`O}i&l!Nk+2_|_oJltbgA~MMk z!r--2QSn~#udIRPST-l-SU302hnA9{o|V-X7=0bnP=aw*JifX*%Jz=HSK7KvHEmZ; zbrS5gcEIEPVh(?LQr!!xNFT5|@bvUW39!j|GQ!9LjpMb3@|5I-g;*CAO(AOc?;m5W z2Fzjxo*wMNV2B%dtOFI=w$am|C2Mt{S9@p9sNvzk4R}TK{qo#r#@>d@p@4!@W1<77 z{`u|XAza^=8~woC&|1YNr$GI2HjQ|vzScM5N$aK}R&h9|2?W$QP~8Hx<7)=j1@g&Z z3KYz7_di`dA0~?4cF~H*mfo4kTm~~X4!wcT7K|mS;#L$xo9zi|^@FlQTlIdY)r;nm zKlP8-bY8?1ONfv<(#a%dDnf)GhZyDhi8sW~Jk&i=C5@XwdY-t()O{aOA~@<7d`D}zEAIXAtwx|vS91a(#k*zOxz5EW{RR?xt#&vk6rO&5$LCyCoK z1>$V20!y;Iv&!vNnxgF;Pp73peoVgv^$l%O2GL;CH>E4!bJpTl){s%7AJsL~t`o(z z`6&b!3^WRq9tO2ML!N-+BD=sep!t&N->{zGw~>qzFyoF9=pHt@H5n^K6W5vyxOyiM z!R^7BZ{Gj77jjk|*Y*M5Ut%9Nd1u~5|9qnpcKKr66C4C%bOobM)NIhuzF~Ek)m6pP z9;2YO(r_zUtF+FRy{m>hBgUvAB+nFziZGLLR1*DwXkj6lTIF8FSjhqmBR>GdbW2g% zSnpcOc6aBop&kmH%gWybOLLWfz}`_Ww16>T;Owa=DfjckC(xG5_odt$+`wROpb}{P ztG0*w72F!E$Rgumt-UkTzykTiclO?{G4rD)>RjLRecD8IEfs}K%>Gpgi3>4-0I=`L z?%HQyUs-f$fZjgK_;-~y>b7@xW2rU!L|%U3G_lOPL-}^;9NKZ>lmVkLlrH9worE{% zKG^IVR-L?~Iu-^U36sy#D1JVZ<-C|Bb>0bW zP|-4Mr=gX2E$%_lUe(Gg@c>A#nfzohl?(E(5$Av|D?_D7JV4rEJS<*wdk;3o(X)Z? z$HPH{OH#VvG3ho8Y9nEi>PciDb$a#}UK~@>>DJm3NUC0Ir(F(*Yws0Y%3?gd2N4`_ z-ADSJs7=mJ-!c&Q-ucA83IqI{fKsIi6qY6PS*Y~i`SBN!ti^U7F z6!*A1Xy|+mSvPPVJciDvJmsGTC2Pz6m$6DW(0`_m2P2_CO7)nj8YT@k38!scYh_(X2QET2m=w`m2Vh6ef88-4f|%nM#XB>s3BJXqH9CQRJ|@2%;~(px$`$b ziO0{`SkkwE%A@Dt!2~KFLjV@gl@x?z$~%nvOJl$J2-A65$h;>A zJ<4-=4BTo5)Ab7=L#6}JJ|m5$2Tu|iWYp8Tuc=zG*m1$QC%bV62@ z`|qr^`}GbM^-F2pMJU^AmED-kA){}(z*Swrb$A$T_l!VPltdPCi76&d_+q*FskShr z0->Evy-EhT%^SBGTQKEE^jLvWMORTt5z-G1an2&B=}r~H-1M3O8E>uJNBgV#iqfO7 z%+;AEslbqTaQ*Ix7t0(VEwHG_Ywz|Fr}_QtVw-iA)nd2JSxCP5?p2L*7e9)1?Exmc z=jqm$Jh~LAhkenhhwFiQ%I+_K3>!7WUnIe`hQIa+EJCCL+{k9b9|i1LOF^i=_JK4` z-AsVyLsRV;g`;uQfbS0>-J_J9U**?^L zv&zy1^U4V$P$Ga|fdebrAisPr9kv7TACc9gRnlR~iY2XdK4aI~lcUuQHTjLX|B081 zpQVl{07BHEH~2VUT+!RzT$(U-W!QtfnNDS(^hWvN1#GGIHRBHZyj9vVlU)Mt(Emq> zpgEqqcOh*h#skP%M17m>^5~E+-8(=1j?a!&4Y=&p3@r<^P}1#doMD%$fJpcp zg&py?5+tb6S6M!q67o)H;Qo5_&;eI5B@uuv`-i?Y#2sID=%f8VGO);ewd2>KhPJ~Y zyJ|mPmupq{r-d}nK@B^1J9w2tq_lrdqOOu2vqh-HF=*WVK7LJu$W>7V%uTFSicsS< z**9Fh@UX%pTm(=rSjXK2F1)Fyko3-uFM>DEA6#1}8vGjj+JE+Qd#iHoH6@+Q&=H`@FyoXAP5=?miSUF=)Dd+R3yt&# z$93PvMQ5V+p6!+Ds<2+e!)y`bZLHbyt(#S0bXnYYvM86#fMaUpfg4oSAh-@FG8=x* z5OMJWF?Pq(&sGyTH^obIG3oM%h&6}cyYuYZCXM)8YYo`1-8^R{z1b+@4d3SpgH-dc z2XXrI|6y)`u;l3_sCv2d4<`zTKhca_ zbEQzNsFDQTOOih$C!<1Nw)ZHD?+cU2g><2`wts2$>$bad(FJE5y$YWKc6xII+~>K* z)nxF+#VVKd5j&4}q6#nzk4KH{c7H8U(0yH{ux7C*@O@pU9IK4osf^EE9_B#n{oR0K z4}PnCd#j%M(VowW7c_)pw&wW2kZjbT<)4Y+^_*=BusM5BK9tpFJWU1stsZ1)x)dsq z?|592E6Hpt#rLaTW+O3-Q-g4k z;{gsq7h0OvJ4tw4zy)Hk>kgYWbr3&UlrQP038ugGhMsSxKuHOdCiBTT%!BWY4q?ju z^-GmpKJSXsFus$SnyJS$fSMnSu@+Oq_K<_leP4xp z_mjK4CbEj3?07b2iUJ}sX+Y{DOZ9WYQ+=l#fkUZPuS<9aXJj%k1{o!n8C~q}0}Tl& z7NB}TCY)K~0Lahe{%`KB7WfPoW76hel%>Qld41z*(N`V= z(UyJyOjWvn;xLg+@Pu*lDl%SkS!u$huJbPJTae0>3f~1q-$Un#3-Q- zKE4mvzdfOS00sUK!7lia;OkZ^&#>Ww`nKDf(*2D==b-P7sQy43XGDbWd*V)m&obQ^ zc`E8li})RCoxbtZ!|nc-wbd>FGtHJhGW+mBaFFA9pcTWvv49l1W(p%W`Xgd87@CBj)Q;V>}_~AATKygAuk*@hdi>&tb2Lm z5r8!j)$AA1ec|mKbju-@^`vr;{Fi2^i@SMq{2;l8oxdb8FaQ?xnhoZ@4^03DZzVJ| z^Q0!$SIIFxjWflh3Q14U*H5)UIEK!`z1+m zCK!j*^Jl&=R_pto7HK+3)=mxKx-FDz{Jb_+~vOGHmudXc2#Q*ut7zb=hU26UsaaXLOZ5ZrL@Yd|MmJ4YHPW>F_6 ztY8PNCi+u-clB@d2I%(!tX=n`2HHRkruj|7rK?Q#`ip#lXZf!@)OO#($dyLsECb`X z=B-*ae$28VILgl07Ei#IF<~I~>hn?%0GzEy2H8j^KSpl~7DzobI2n4PMo^7#GzOJV z5c<|u%>afKgO$L)&Y&x$3Ncp!WNFA@)nU#@pREMHgRK}6boSvcU5t-AnJW&)1$=#g zE0MrK{(s#blFSk^`$iybky2|~ZnDQ3P_$Q);&<{R}B(`q>##}dS zLci1>jBWOvw*wXU)cds7mNH-FfKfv9^@L8b34tvzTFA0BwApJw=7ABGTaYfZSJ&uz zr{}|q3Cw!0feViK?MV6ncanq?ihLN&T->zVaX-QAGi9wYl3=kf)!{?kuk#LnM^_`W zzKN>l`UgHOf3#$)wL`7*wDZiZ1Xl8QP`31&&%KY@fnWY(h3Komq2BP~699z=nGb|H z=Lo-YEj@Br%4esx_0Z>l;jK4=^*oD-k7&7#@?%%=i*BPugh zy2$Wee5V_Y#ODCG3)J9BAns+E#M=_wn&3!`W%qS7_F#d!rd(`l3+n7|;&Y!p03Lz%x(XHr|83!d69GX8 zuq+cgk>ZWT;k>+P_}SAmny|7peT|5mYK6ET&1|7GB#Zl7A!16sjD3G=a%~E zgKKs$@+GNoBkBDH=Z{7mIbjKjxN-`tbSMZ+NV>OFgWKh{BgErr1K>TjZWpMLVWyr7 z*>$PF?(!+~iddg#Tk?n4VXphZul90yFXtR?_!K+)byEv(2qh!_)D5q)Y=62~V-pwA z@|Y9BdVnitG7wsIWz0F_tQs}%`lxa=%L=zn+-=r2?|NBHKa6l2vz5YUJqh>wD$eGQ zy<3}@@nk+L#*Mkpp5^ZB_wdz1;+HDYH*v(+TcFMxvEcmoYn$7$kQXGECbCboFZX7++NaliWL)o1jd+WH-`F4dz911*)$1t~n9|$JWE`xnOd3e;ej1rW)%NsRs<`HecHZJFAt(UQ;9lRL zIIi>2QveG$Ooey&CEPj?v@ek4vgKym8TSQXqHzD2WqY`@a>(n9=7o+W(qvqL??nFO z@ME3|lhh5@IGeY#!+uP-!(u|`;u>?3DDa>}4am9xgHfJ>CB3HhtwPg5fQ&0(eO|`< z>gxTOXyq-%v92q4+>grYPm!|4re`mh8v$;BSTQ+jSM1=K@&8{zh{4%lf|rs2ct5y9 zy`$9FBCj;{gEs%KrM|5MiP^V~9(^@9>EQfk$XUNrHU-zxi3Una1M0EpKNXD`A2r>6 zn_obuUCKBM${CDT6Ykq>0K(gj1^*)tF~cOPuZTZwz6FY|Le+EZA0J2GvU{Q#k1H;Mf~-T(h%Jc{vFr z6BaFiAI^6a)va5dw7&Fy$|7ek*JnB*bIF+@c6Kk2XOh>*Q_;1F)Mahfy!AS&gcZe# zDmHGv01dZGoP9331Rzo;;J%*kIsxDWz}GJgv_Qx6L9|zsA@aQa^Ve+V=Dmby&_AR5 z&7~9&sh)pa5pGCv-SFf%{`FSLrg!-a>~Ee@zzxX@Ht3KC9DIm!q~Ed9k4P0ysm1tDZHhlKC|mjyIf=Hm#}l7r_~1}OM8M-;4jrCJ||pdX(6>+jU)G@bcPiD%ycVr7S=;;wsZ_1`)eNPJa6&w zC@VAmhx)+cq&O$8Z?1!bQcCZs%?7w|rU5fE!_)hQ*fZxY((?yTR_n~fTbY^WDePrZ zMm3FC()|VM-$(zNX-oqQT07=_W>aey!a|VgWk6giwpP#qp3d|Q8a7i>?q8DAHs!R! zSt(c+4;4*8iSye@&L#2|iuGRACwbTIOOS`v)!cSb%Kd08y!!MN>$}+1r*dIQ0vC-( zeH`;wy^6H~zJo~)rCsZ<8rD+mjdkLTCbIsRA|-;b;Mf^&E?U$OL!9*V=HT63Gue~e(hx%*#h_9`(S7cwuE(w)=83tn+B$8cOLQ?h_R2cid zRHB%XrR*tLO3m;MB}-XKGL|G_WU}*|Qx-_P^9|AS{GCT3Jxyk#0P6nQzRz+CY?YY<_zo^;T;o0!QVLWbW4%T=rl438^A+OJT4#40OE% z5GoX+O(`y81f?Ua%RKBDJC)oLQ;u2K-g=m_&br{FCyt(Rz8%bV8+ow?F-s`2H_}% zEpDL55^NL={xahx1||mhkMP&#dc#);LLV;VsS)Erh;TvoeLX%CKoVTA-#uxqJ1t>y zkYd6@Q75cCQ#^3lLeAfvAZrbhsR-gn?HF5*od0T_=Npl-(0OTDhS6SFNYgX z_RnU9tTu{U?Cjh2uv~wLehkvFRE5K@f0im1eOsp;dZZ0tTxc;0fWRjPjj4l{KQW?` zE@nToxSrA&RSYErq_}{ph5*rhd;;&Pe!6{Ucxp?icl`41M3>4h2bE`2?d;W_v9`%& zU&Rjwx~Zww&W+IZExS|4l!M0f#H*WwG5bZ>={ZGXr7Z`x-Z=O9?Nogu-+u|w^H#NP z5}Z$!(sJGwd{yQ`F1&mtG@CUTJAhTD=;L%NA9=;DdK4Wa=1Jr=)l5=vVY&yE5oEt} zyCMVrg=naA=Rk!q!WTz#w~s>lG!`U0z>8jIxeBlDxY;F@SPVFd{_z%nT<~3e4%#IU zhTqbxvl+K^WbNsL`sIL9W-PFI*K5esHd5&fbaRi5%}b7lSL49F5W8ftT2dgF^yO87 z>tStvl5Z+C3`}UOBOSy{l!&ri&A|zX1!WHW+-)-(Y1ZMey{5!5Uci1N{MxvD70l05 zM>w=l8vlK)SzfEZ_2HaDAlrR_5^O3f%89XIhThgnrEAjUhG!%AAkKS6$*Rsa?k(`_ zhG+Kn8-XSf?@ykl;s>bOAu1t`+P6Rl!{o&+!7uQ}=28D(DS7BtqODSoZyHF=@9ni@ zxsnSN7)YflmxeNNBYg*$P?t0}UO^R5_;UZ>`nU_q!Ebt~@)aOwfNSe#E-&O`$jPDm zwoBQt19hlRW1AOyCa}c>lOC07A|1PC9~J=^CUV3gVri;&7$!C^IN(Nm-Z(7ixI}D8 zb2vZmp6SR1;b0G57#lTTh*gv(qd0?$a^EW|dl1hGbM{PX-o0Gf;%{AlHpiCr)Kwd8 z?ow0-(;}!r*fxI&RF6({u0twl+1BjTEnhN(IGKAcb*?xNVhH|&_5!32)0)q13%;z- zWqLmDwj-+W_2JtJAa*GFt8UuO`-Wbtm*R|{q#JjO-m9({C#Je{nQgyH$ajH1I|iIX z)485rq6RYc?jEt~3WW4fM@kXY_cCUl>mBRri^EZCx7KEhtL_fA7W&)NS8%O%2beXT z2XzwVD>>U)U&+|xXctiNfw;S4R~pV6DQSKVq98dL(H8lmIlp6<#=>rp4QUkSKM1W3 z6_-S297`zzw1$i{`EEq|4*fu=Z?p9Cb3NV`6XG-Rv*|-XxqNNw+(L1Vw;cyjg>&+% z|3HYYJg{l&Rhkz;!63UW-K=tTF+qqQN`|>m4Vr%BR9a%z)Vmg|I4aM!@?trG*;Ld{ zh|lcO3NI=Haj-8~b>CAH^?ghn$>cv`kPAi}QP7lvMg*YbZ&T|L6XcY`bXUdM5w6sWieUNtWp~DvPb&bL<4nPrc&|+?8K~WK55e>5kzDZ zm59v>71_F%AH{$1@#3Zo{q{bDX<4{2jF5{h+(nXk#e@N0Fjs5FpG2+dLy%+j#o zEU1u6*9qfflIoC%wtHnDn9j%ZvV?OtvYIdy5U0q%Q|;p;b^yM8oKKVNKb}6dy2~w3 z$3CtKHpb3+tKZD$@V~*4zYhcD9GNi_22IuFKD}8drD1J#5wScNLee&TLcuTjUwzmf zyK@i}=JXg?6@L&SW+M+;X3U@Lk{ExJjcfw}k@p}Vl4?%=uGY@&?1ySSlo(g^+Y!|S z6UIL&E#LqXF6Vg1ihhK_r<${~t;=!NZYVLw*uZzjA!UC@=;ZyF z8kWNQZijCpeN5~kyMt@**kO5+c%mj>ds%(;f+l)z7Rn6S=DY$KfoVOR=AQT^f3J!> zI7)>g+ZfhdK8Me#na5KyOmbLUm)HumGFAXp|19(^RxV@}vl681!?z`M<{Gj|P5@FS z;H3VmZU_RCy3Am(+i!|qs6=gFByaq>)(0j8DV9MNbn0un# zcmmwwQ!ArHDcZ5Ype{9Mk3*(m-U8XOT|&`I)SHE|r)VEd@q8g^rx+)mS>?nb05_sq z?i4(!jKkRSTxA*cQ09-2|J>?-HBnoFcK?M2M&dw|dsZdE)29t&% zfLWn)ugw9tH@NuLXF;6#-D95*RyKk}kkHe?3*aUd6fT;lHd%VdU(JlX)TLwK9hF76 z@6P%C6AVH$1rOH-3f2IFLv{4>L9|xc^m+tU%9QEm7L7&Tn<8gHuGXx=a~n>^)WrI# zN~QO;krsneliIU++@h!Xra5rjIjwl&N%+0TgVjMo5-&8JL z<2kV?j>4Y8tT_Et8(I^0cVL+(|JZgs+Kmn2{cuLocIGM*}aV(RHA*em0?H8unV8H z;a8VocQFg$I|_J5t87Om`V`W=ihOv026AD8EJ`pobId1A&W3D zTkfgK)MRsObM*5bM z`et(=tE;*74tI_?dWtX>a%5&*6~>x#2<~JYebHN^gB%)T{I_pernH7#ZLyxA8jobn z2&>!=)Qz+gUw)4M)lYCM)XZ5y8eAIW-o0l5sJG(jn;Qu^jC0P|rt&`Ik<%FhN46xx`XoA8KAnOba{@>wIicSx+|eGOHf-NcH18|6PASfd0! zkae=d0x+ZLIyaehu9bzMFVi?>*DJ@S{+J9llYG~QzOstpwXZdaQ`-0%noL3u4Ey#U z*7EFcySn?Uw0b18r>zrFLMujZLeY6X=-etQ%YW{}{71!<1%XU#GiUd;@th}&ozysx z4xI$#@J!`qb5R>{OGGa}cXwa9uaP;igJ}v{EYzram`UCj?@8yB?fntMb>bG~j)xWn z6E0(ZL5VIG*nSZ@X_hE@NtX*kakpAQ zQ#b#%aL@i{Ezj^II~x!Bt_MAb=z!!&D;NMh{$|ZpzOb6m7B~~KA^2zc|Brkvx8H8W z=QM?jh;NXOM4z>Kj$oR&m-a+WJ1296a1+(B#RZR6AL8PXP!?bA$Y+;S)GylDINSV07x94bs_8qdonm1*VHmTBP z%;Y6e#f;6;osWuD;=QSK>&4H(WS#X%l~N(}>2tH}E46^v!>@D^DXEEU8K8oO zGhW!f;cB^@cR*gL{5iZo#i#s|kMi>(&D=!pM@#sO>@(ObKjU?Wa_vcmM>HM(oMn(X z;8}%Rqh1LM;7wX+x(M{iqi`N<|V+mfogi-bum8|~juc>d3ou{U^HyIBu2EplNlPU#!bsYGft+KTvEh@oq0sb>H9Gim+jTcT+S&WCv94jfez zLG?@Kq##LW>=G6T;+mTB8=t*#QR|^j@9P{LRu}U|KiDp^Tg4Q!Au0W^E}yM;v8|=y zfqQ5Mbm9dZ(=A!)Hfn2SQFE6wH#Iu4D%mB`!)Y$nX!Fk;Qfue2sCLDOaNKGUxW<9v ztGqLnAQuPwrXK8=>o+FzUiOS}aVcERW(O6}_1!4VBXTyuOatwMc^>)oD{8ENSxU6R z(4{@^6jRp0ts1V)L-Ul?jW2&b`CoNsV0%F!aA{!qt_O|J6l18xAb+(0sZ~2!+rU$i zlBco$&8TTddsm9ksqg)%#qf5cU)J>LU=yToB_X39|Ly!U2AJLaea`&&*@SonO0b+l z(%hWc=#bDsKa9=ymRw%{c=ZuRMU$i12|KA5!fwRxLbvgi*7$?J_zOo^EiMJk>t*=0w(iCJUp zFadTM+ckUS%5Ok#{KXxdJ1sc2nrhTC*ewH>=}9;?j_h;8Z0^<5apQ=^m%R=qYm_hd z_7|R(RofZb)f30*Y3=sz8al8Ea6YN%%I4n5maf$4TYl-2K28(ZAA{~rHeS!3T&{=a z3P7SRP)`~kZq)+>0oz9>mOqI$Fb}UCTB+iIWv$vS-VP`0IelvN6@`uMevK-*dAW6d z`$?2O{WSYVp$>9(l1p{F0d6_B%!e%&iHHNI~Iqe>dS0!gI}~| zT~eHHw8Bw*D|!E{iWsyibl5$Ps+JvOkdLn74sVLgcka4Xe?OOfNb-?^(tf_!dtl=8;Z9oW3U zl5MZ@X%AgSMuRsQzbr{m-;|^a;(A%0~lNmKo zMmF*rT+=qoTkDWN=P}Z_(BI-7Klso=BGAD0vx<*_d#73oU*E&NRHD{!nH7h(>S5$E z$4=d4sODCj-4$3o4k!MDRHZbd?^5L%$FP&F#5Cn;k+y77VV_Z#GrVRN&VsRpy+ zki>91l}yy*$R=roth_aAhGM2+-WC8IlD*a~cA_#VShBhexgqDP3U|hzomt{~J z>>^FqF|ZqDGn6)XN_~)$6E`;1Zr}Fu%IFC$E6`D6aLt+y%ahVD9B5aNc#|M2i?3_4 zpF2H-*nXx^zBrd@NTJlnhhNk_stcVwuXn>SEKYMqf#YF^sj(*LuT}x;6Q+H5hk8X( zVrq0^hKk@mc1dlWdtPem;+S7r%30qsIC#H(&&iur(2o4xn5@a4Jvb{%9`LSp3*yDGqKL_YP)e1)_t!w`Q*J6Qb##$lb z8hKFT%E=si4pdTBgI>NDH0-j3Z%9!VUqL#JLRdA)-FWBToY90o}cSE(z^eRj)0UFE7V1@Drzi^B9@frB zP`V7oL4_pTT;;JZ4*_u+Q_B|tlBKS^Qt8}B_nUHu>dJ2&mubs@aA#stG#nWxVkQVo zvWxc3?Mvc@7q1Ixdt18}f4nq><9&XX)wPau6Fz@yG-u+~?jF6^lLl15Rw#Llx=kwd z4J|dfyclK)Wtx~}n#~d8#Kf$TPCZE+$>Z0tqbKcSof~xX<%mw*`+dD#|5=Iua8@!n z@>6hL>l0cUaU#glnxW-ab9Q}KYetZU-Qb{!)!!-gE3Y=_W>$R3nvyOfFzkEM6>fe( zIuLYK0jIkLs<~m6=TwT3N6TkMxw>*7p+`T zNydnMzq-lYp2vGD$psl)I=|rqX!;IRE3?pEwkJ{FrSaJiQ`{E)OOGR)c9s%c>5>i; zvaw&ivHOK0cx0cI!vdFz)G-roMdUkY>*#xrl1Hy#vrf(1KVoJ79g^^XxXCk0%firH z+0k_M?^|t>&GavuxmKqQrHl2F>s7B75S*NgkemHi6?i0)M2rW0`=ikZJi0|ShKz{G zUapT7Ui>!o={(?D?c4vp0fAB-GKXb*@i*tmPz@u4X-cw}mHYNbI>UiRo8&>AWEEjI zRP0xu=!@$vI)C222EA?6wU6rB1hPj99xHd0L8J{p8+KnCDnPYeT)Cwrw+m~^Ti1C;&VBm5DpV;wTP^EX2J^Uhf) taLiCL$q3nne|!Fac(A7beR00*?u(KmUyc6W9zp|t2t#v&Dm|C${{zi>;r{>t literal 0 HcmV?d00001 diff --git a/Graphes/assets/graphe_4.png b/Graphes/assets/graphe_4.png new file mode 100644 index 0000000000000000000000000000000000000000..7bb93f1d9370b56db23e764a301501a407089cd8 GIT binary patch literal 55916 zcmd@51y@|l@;D3+Fv#HU9$W_}1cxNJCb+wMg3I7e2u|<-fiSoR3GVLh?hu08Gdbtp zbI8Nqbo{2+nO@^QZf-;THd=mlvZi zcSqO}04XwA{3MjHUV|{Vc&18-CZ|r8cfFZ>9(8$e92{0fA2P=H;#J5-_a==8 zx|nd(Z!8DJJV%z*k*4cf0OT}i&Fz+V4Jo{qX&#`e#p(M|VG#g2C-zigE6J8 zR79emqEzs)iv}ndqv*~nStw@{c5Zu%dNw{zWEA=NFBvA{LAQpfV-t3JF{6h^gQC<6 z;)rA~@;2T%Z)|Hnj4{0zzA?bYY@h~I1i;tvf=SHaoNYCIi5|WkfZ%n1(k=Ale;4hlz4=5#DT|pTKdw_}i`$U%cHRi4#)aYAn&yk|^ z{YF608py2cIXoQe3t;CH!k4P&)eD3p_fUkiGru=n;1^M%YqIEcNZ3;064JU$fa~^_ zGbfMVLBk}Lo0JHiKG%%G^ffq?I1bngAa{lcG;^suaZj65>c_yYKo?*{AKR-cl&4ZTQtH_su%$<-KYK6O%b{cbo~2TYhL}=wVJ| z)r{E8TLRk!qm~~*B2v4%Pb$7N!eJPfU4+KS6|Qr#NANSj(+Gqg$!*(oD!$4IH*946 zE^UC!o7`>mhYCr}4qdaBK=YT1dx|IbqrP)0^Rg>@^0+X{e;e!~N%LgG^f3+B5{_td z1`f{m&l3Q)@84c}c;hW!8%U(Gul~4gMOgD~uCKrDbLaRi2)JKbf3be%J`##y$ZiA3 z5Mxv6`}Ll@Oc;ADAqewS)Yk}o2!b)xOVR+xxrPic!4wX3rUoelk6U(p;6PAsR{&$- zLvSm|p>W$qcyp-V+Z-yWrh*upa5E57+6bHwmO@ItAv6P)*C=kHsZl_=H0aV)ToP&q5<+AbC(4l@=dQtB4w=bi9GBn2sG;zMTp0n>J5y7c zcLFN8I0z%?P4`pLzr+xj7HH9HMDcYT`e4}hHde$5;#jV+Ey0zoVGC0dt*M{Q-{3Zr zmv8#%4he_aq;D!v*X3od6|>(mF4JO%cLo3znOnyov&BurXs3dTQu{|(T1Ea zN+?d}O=&?^?#kDns_N=I>K7_e8h9nc?^)FsOFkML=PtbcVE^IOhcd6oMoHh|JIqVG z1NW)bF)LoybSn0=i&z>W6_duJ)hnl0N3tsdz)K zG>+95;z)=)Guq8jh%ZPMi7kmKgrq5KDYBH3l_EwQGBq+C^zHSDmVwLGjRcKvKP;vZ zPe%5e?toLcu6Z1}#V~kCdq@~a>pZlMD@r<74l!mgCh_(O4v)v1a<65x3#f{+OIsyd z4W56(IT%@D+k>Z#zP6JDm8}bPwuGXE5@D^1JqSomjg5eNoI=+%Ite=|UzmP1dQm(s z^i}Ej zVkamGguXky+bo(L`8Wcxk7nDFO|G1Zwij-6$%fc7J*WORt+iOY3wUdXp#D`pY zT#G%zSNs<{-j3%E*T%Q`cXn6S*L;`T_ZoMizj&_k?(DCo1g(f&S1d8&bn`Z;$G2MKk zay_P<`>k`T)1-5tlQLv6WUzy*H_ue6w~W-Avx8d_SCtAx>lt4{d-_)Utzv`_u3~g- zWLdZ$DG!T<#n2C}H%Iw%nU$v-51Yx|%Q5v4nq2~nV|Z$~-|mY~il zpV2>e$zt^9Zv}51_ls;I^p=yX#&4vnCAzoeL6YYO#9I{KhLI{21B%n)UVQM9ZXRq1fozh*r{g+Wr^q^m+Q7 z$ieRND#aT_Dw>l?$}Yux|JitZbfeiZm9|x6hy#^w&`X%gKkaxQQyQ^QCM!wkwm4y zUp))=hdg=i?Ney5(VO2^t*J7&9H`1*$SJa4A^D^a=bL#dXQPi0qee$Cb(Zu{pbvADY*N4qNp z`|`ReKiC%=G8*)%9(GVy3Es2TY7jzwnr)80H%>#RyGvHf(rR`ji{Ymd#> z%`pzyX4nm{3xum5-h}vfXI+LK5|#V6N;Iq=ylIW8{SwWeWOrAi-F$nMyvF_^Nh7I1 zH$wNKUUWIR;&_Sk$nbkTnH}f+(}ys#x8Cm+ruS{G4-PUzU!_dv@I|JN=rcE!9bwKb zs~oB{nPa&s_Zw7bR$j;X7T-IZU@flt1o-A$1#YZW$;bHbR!CJjrb@}UHtZE#);EZ?kn#U+;KcXywgpo=>+2*IW%~J8bruwvDw$6t8VQV9qUm?QI{!89MiQ8b>w%`m$Oo(4y7MbmN^CV&KoA? z_zREc-mjK0mLuxD^3HUBoQMf0vlrNOT=|*gQu0`Lc6IUUrMtmn^7G)cy+Dm2Pg4_g0U1*Yxl3zHL;45Qz(Ux_&$pdU2< z>b(&YGLSL!Ibpd|KODW}v^Su97(6XcK5<^AC^swjGUW99`fSmwn^He4qAG&5viaq1b_KmVuZP*cy0KjHlz}JoFq45V|+loCvOTyO+6`;xs*boK? zdHpsbn;X15ewFkl*gI$#$8geRvaOYCI_q~>Ls%9>Z5k0>tek9DP07RN= z$yz8X0$5;q6aWy86o3fJ{izX!Bl{=+2961U@K-rJ01##k0RE?q5-k1me1g4y`uv?D zd=3R5!@h7~uSX92e_JCkpf#J}|5Rni-GR7l0z!`x0=+S(pQGuRlSyn;JZY{0+ z4wk~0?5_v5>HwG<4EU46UcYz@shLdxKpY?|E%D9+?x^M3mBKQa-Xj~a1;NT#CSXNA zPdY-0UbEnP_({a_eDU#e>dAarMA}N~hvz{zWjFh4yCG;?OjZ$+*(NF_}1F*5-CB;!t z{(O7~K!V{DS@sa^1OHX}SCiNPczg{0BI~{|n;(kAP#}0}9ZKe&AR94mqTqc`e+(JCCcScEcI+0ZE=v zo)j&6H;>`pBm=tuc`?aeTHFD9R?TY!5mY-ywkw6(T=1H_u)Oby<4B-j6=PGQi2!q< zA0XTA-(8opS7m`yK;Z6_nX*&9^)6i3fbYt0UdY{$Xm?81Te8@aPM_n%2L;= z`}qydj87&Ml?(x=ih&0^W2n0kbog>jiMYZkEwuGk2!RBV4IrWTH}m`j8G$;-c@B`X zSB&!l`xR1%UB48Ny1wEB-gF}9lH%bJ8xB<)@8^hl4t_aPOH_NG0+8tfJC&_#liuhZ z;n~ZF;p?LR!+&d2YGOrCjgz$Y+3Q#Sfvdkh(w^HcIrL_?#}|IN{D>ZRp9#zLe$2#`4-6BgtR z7JU3+xG;yuC$+j>EgrCQPd=5-C^F0oL|4iq1nrO%DfFVD;WXBmwnWF_K!>7NifaD_ z?|>XGrt{zdK)kzLehZ*CQF5R;Xb1*ubI+ty7S04iWNM<31d!OqCGF+N;1l?TE6EQL zwW4H6FuvbK{{se_2)3qC^2!>sep5aHxUY{iaUwEa8%>1pWq(DUVwjuf9T3U&*vgx{e=Fm zNHrogk-#Gl0V4Ne#^sunweha`9|Tn7QLM-{c8Og^U>u+tgRHxF|xQHa^H{iQOI*B&Uo~RVZ=v z=~SpMTR8p)84x?9#)cAcEhU4#w`W}qx=DIl{jR|9xDicJprNh^v^z2)DVM+FN7-JN{Kd!r%q zX4nyWzo*J7>S?kqNkeQ)gVv2545m)2w94fx)3;@JJg)FOrV#ba7(mzajO}FSfFX6y zRPqCWcpi?nYR%|F4CzONI+`lJGX8m0rNNN|4Nl0rI1~7|CH8>abT#c~sR~2MZt-cj zwQ?r2i7jd`Q}sb5h7svFZ1)A&x|eFPqVN&?e?GXJ7xQ068;L=2XaT7K^HCBnVj_%I7*xJ2;Ytkj`bVcqlNJF7{+%)#0 zAPD@f{kV%)M9-z{%XRiDZZL&`pOx-kxdWfL81O)znsA}T({jiUpSa%OzAWV0GxBsr z1-+l+8Wd@8w6;>T5U6kKXSEbi&aQgN&R(}|`0#_>^K#laYP&yYsJ99pT@HDMwQ^_G z<{tqRfF1q<{sl!C20_l4b`t#Eh-2&J?|bbiqQ#QuJHy3^*-%Usn1tKJAv{taMr3N4 zJHbOy8KD9HKw844P+Z7kK6kp z&BOi=a|`VQ&0g1a?8n~18FBj}|DsaSOP~;0;i9|i?jquzhof?~L);|7BHY_oux)_f zUoTF#TI1IewZ-Ff!Lohv@pQnv328Hr(fxEzp@I=zVPVyGG$tzVl-N%3@f249+nrj+ z*jH$#SiQs-Xu~1CFKP5k1Rjr@Nkpq!Wz2~E`7BrD=%kL-@TB%@1(DL)+VZdRrzF19 zxpk=Q^*Ghh;`8n7)!vSx?)i$hQ>w=xq5VoUwfVS_p{^%81YSC#MAPneAFu9kkH)si zx#d?n*5{jO|lHGmXPvaDg@@g0PlB9SDw^kH|)`* z0l$jA^?E5~oHa7;KCe^REj)PE9sA!<;p9*!p$R2YHoWn9Zhb6Q;!+E%x=GT6K0aa@ zIlg`0Kc)ybFh;yj@ejqtg|Uh20f@EA1Gn(d&?pV*QlTnFc?0j^)!}^EUh0wSp;Vaq)F#8GbnmsPrEJ2WfZ#Hefb@2C2QFNc`#Te!Nn9`0;vz zUV$*Xc3wVZ;m-d`Ub%aeI)v?|G-{e!^M+^Fv|a$WoipJ?tCiub>(Sd+PwxJ^uLDry zDCaZk0wkk}KO^f`)ZagaFAIC(!r!6s`){*&6I^|STBHwHERP=+=*OLAhxGZ&R<3av ze5oeU%?P{&Grci1xRYr4KaxWNuu0MB@eN(^6l3qr&#<4@KHTQZlZEpLKx~C<|M><+ zxpS|dm~v)34_h4YiL9DO2Tza0<&R>bR||I~{??^TIU+5U<3;a1wN3d`h9V6@mF&d~ zUEv0tj*ka&(6j-2ckSi+eHqQ@rr# zN`gBOrF^&Q-m(`tf)8hv`T?8!?9tySJ7WgbD-F0$Jgox)xd>b9!vh$xs&h;3ujkiW zpKKEYJ&bIh_r)#&AqoAHH$UM>gYf3ju>cARS>JyE%o`8`_m-x^67~ju`d%HcJ}i)Y z*3Q8o+gXzypk82{Z0`|AlE=i~46>bVrW{Cr-pJM-EYmkq*PxZr#%?~neLg1{VHlEd zn)KQatQBi^v;`-O^#KqiR7~#B<=3|Ogj3c6S8ISu^dsE=wsdnAu#Kn#`}GdJ;p>2C z@L|938WLy`3V`(!xJz>0lp>XQMW1|eXs?v;>-{R6RKbO$iUEO-mH{2;DXcJMckAvS zaz5varJ~c812nmX^cs^Z78`x6r4Zk&7vUqy*{V22SL0Zt6AJfY(!`#_dRG+xvE%p5 z&q%;_m*Z1HHATrYO47z`scUHGejmzPpIM4Mbq?RF;%(>8Y{5~p6ZYlaFgaU>i@@&_ z3OA6)nqoKk#A$bXJIVjtF7gHLiY_97uhyfOK80V`rJq~az$5|;=2pr3w`wS20TO38 zO(a8P9P5)*#4D#fha>f8OM?rdqw%DKW;eB6k2EH6n`)XnW9=7AmYIfCES!FQ2FpRw__wR8)#mg)S5o;KA-HHe0e4}r@A_-oXoNnrEd1H^(q%;3R|`mvw?xkvdW}r6 z%6Fi#X9NRlN)E$%>U8Bb>95Myjn7A7^$b8>giJT)2M0p=!CKaCh`5dlL|g+ zMA4{-1@wuv1O?x>tgb#G5er90^ZaBQor+}qTC5XCyJc4O@17GM_RuP0dyFs6=RZDF zVjP-lU3hZX)W(U!OctCi0i4tfNh24^LsqTTZZwZQwAIevWfxSBUzc0`mR~rbmL}7X zX1Cap82aUkK*XO$x}%&Pg^-LNCB7hy&)yk6O}xH%L`d9Q%Z_ri>IStB6xdceNMpZy zLur1yLXmNl^I9T|P$EX?^@4Y&q5PV((nuB=m{o8-;bI55*w9SRDUY$puwB;BScCR$ z1yP-b^1rmP5jGIakD7|Rl_|{@!9#B(PbqPRS(xAPIe?u;zC-rCMU0crXFJJ8A%=JA z87lgL5$}iAM^Df&We%N6`;;96Com(4iCU%|WYvt~ z1S#B}M}yNMFhIfXy9ohQBgvu+e?}uhCW1ErdT<$?O#re&V~zeTT!=yNNyl+251%As0639AD@apODyuuqbR^v+*ESSe)P*(M7uNJYo3F4oE@yEN^ zlGK&UElh4XaGI^mD3(>MkzIGq9bJ!*o1%T&mJ>oMzED}!RHyiH!Dar+oc;5W3A{RPBG~fr;|4mQa_r=)| zkeR%`Pi@RMDjk=bUV-mha&S6se%3vZxrfe;M{%SV$gDQ{l8Y2fpGuwisu?t4*=tNs z6(-UKh~5M{J~Fs}{npb+IW1@h75hG_41$Nb=bzXm$Q|;DM>n^c!!OODX$RBUvLu}E zL`-_GN4r6@p<)`rN3t&{CsPg!*5NtHwfdkyd|NRt9qG!u5QHJrT2>i8R*1fHB*AT# zGV@HhHcfYA-fQEN9gpMepKt$(2o*^Hix~TN1Myv}=(0>G6#^$>qV{*${6BSdS^8g4 za?|&ZHTMd)_?R*8JoXyz4$wELbZMb4b~vY|xDf9Gx_gap911_yt~Y6}MPNe1$it?M zQfv~O(c3pLUhFN{n<;u#plMbTSyrBO2$`rgXqvA4z|MNdVL2a$Wd~9U#V~r6EMR6& zLz$pR^8S!h?eGUqaI_hw`x5K&`i4rmYE1S2unsUi*H3Rj|TmJ>pI zc`?y`YCLN)!}C$)jLpRIch);0>2>sblN^T2uFK-Ee{H8)3wUS~pib@E2+l^pc|^_s z&{AcSRJ*n{xB(=ol?+}TJdLw^$_tcH8r(4HOa$xPpVLYSfU8&?E;J>D<}%uFhM2Xv zS+xjx5hc(#`TxaT&Di23LEMolDXG@&{R)x(wEE_kS4pil1bzTO?`f!J!m&gOq;KYd01)ga8&eSH|=UuA+CxPIur9p>-NIp zV5!|z1nx0896lpQNQGwJeCL)~4* zu@n6zy^MkWGQZ|IC`XJdDAs7Iq+$h?LmHz3HGeadmsNGvhW$U*V~!Wj8jxYKu1%p~ zUdexw0$-J_Is+~+P+T(*q@ZAxOeN-q(?oU>9FnKbgr8}aYt<0OkY{8je7#U#IU1?S zsrz&`JF~cKx?4C}Rkp+5)Otza9lnY*%CqB4JSe2l3$Ul@Nc;%3W@Otj6Mj`C)XK^a zC)bs~)a$v726bEmo}yE&cAFxxpobaU4ti3`;qS}VwL+M zbrEJi4xys5s0N(YYV`O@U55PQ2DLTN1`MIDTNMfMOS@QJn|K)d~Ql%(K9V;^X{ zu>-2``y-yw|D1+3ZD1-p9ASqK_vZqTh(1eF9&w3jxrFII*lFe_LH zS4jp&n_~Dv|0Y4-JRSx?%JzJ#%5S}>-{N%7hh$lea_=>-g0gizhmpLa-KrM*R*2)A z=OlCL@Hfenkg*QZ@7NmeN_ud@^#gE!$c^osfJSI0qV&WAbU2?1o4Q^=Z@m()y4^UC z=y|X|ed4q3ApQ13b%hTj`%7p77Y4h`#sng3rm)5Bi!h&0t7j*pY%LB6^jg)y`|t3U zJycPcr(wdjWTTq6*=e~zgI+68?y4cDT_hSVV)tukIzhP^R=Zvx4_F3{>{L4`B2;4a zzX95u8Jx3?kqkF81|Wl2CjENXi{EqwP2{E2)t#4gaO$6P%7QmBkZ7k8Zh}n{M=%P5 zKTLu@WuJL_6@?h9Ok9tjRBOhsZSQj*dWB=r7VX5e4_u0=CMn_~{=Y+4zaEoje1mDA;bf&K05=?_04O zC`qIy_+jZz^oiYq|3usC@r}G`A$5xlyYwM7O|OJqXg0ZVC#G?$u#5ymR;|sTeI+f) zmZOf5LLvQ{L;yU|jz1Ew4dQg^;p1c7Tsz?E$Q)bzuLs_R2ggm%+ZB~dHr($GBmaufu6WH>la#x%m!NC z=|nTp6C@dDQ{@>?>xiL}mk)7op&n1@(ubLTm3=>-bCH?V1uAwiLjoJeFosy?FKAIL zLO#5Q7Xa&EnLt=mC472ySWco&(v!w8?AG&)LPM>M)LqUI_WqIGCV}GM_6TpTiRu;= z*VHWi#_7XrDblgI#rgKHHLbHi;5QB773a7Ti^R9-tMg&Ar zmfgPcNViEZW$+gY@2~yUv*L4-u*+vPkysJ%Ir8mkaEsABN~ToUO?T@C+zZY`6t0kUoa+KnkH!m}+I3+Z$< z(soCLQ-mJ^x$3D8I#qTdPV%wlBqhWc6L?!{uq;i;;7r~B!%t{%N+{eRQOvq6BBO;m zJichx`rK%6Qt*Xc^1!vM0g!~CJ!xir-)E2Sd|IE`a7SM#$|g~FPaq@iIg#Yxk7Txg z9IZUca>vPmh7}SpZ<;Aj1-A*(DLu;9$>3LCtyRWg-LChl-F(l8CZx-$W7sFB5K>cGZ%fUzvR5C+3`|XqyMk z*+UnVHZC^<)G+kk<~c&_Ku++yw+kWr=If?LqDG8lsDT;DwR)?+#-T_eUbT_3;7q@7 z3)UuLLmI7zNpZ;0NIm;>qj2-H?S@M;CYLW3Ci6QvORt;-6dV+_Zw^wtRBD+G;DT8R za9mpO?}JN-m0$4c%VNh}L_$nM0*e9{NP!g=ME-RRQ3Y%BOf_A~ z8i$A<)!L`y{zg`u4d)CbnlCiY#bYKHsSnu}W4vLx8}W>h`GT4Dndw7%Ixfycr!!l;yQ>A`eercWv( zEp_jgItcS4>_8I@Ob+#SR;#C8xWq%!SC7r7;~-b+!u<3r=WzRogPICr)7VQT726o= zqb%k?I~*jIj2dWhj%~Q_%;0oT0DNNQRY=rMHn5DaC{7K2QoP;Ai!Xy+r7PZnJXw-2 zN&20tIaExLFZeq974JH^ZcR9>vI;>wroP`qLg;3Id^@4pT{ID?K|2wz-Fd zr^h3S73tnqy{F}_6|p(=kUJ9y#k1Mzkl+&~7sT8p-l4$IC%UGL)sNHiz{_Is%ZWyM zcn#0yP4yiM%@`FNBGcnIai?i(8$|JJ;Cr_J(R$%! zJ7Okp!>hpd*fGm=r`(IkOKcDWGqD*COPOWoXY74P34(j^dJ_~2Tx-3hmly92tCdX! zlYguJ9cm%A1QJJsHz5k3!yxBCj3_R_bvm-wr!-O<1k3G|!2Lm^=XOFtDcm29eEf(G znKkgS>n$uY_Dvu>>imzs=f#_e^AFz(W*sWt^|E9KQ0%UZ&w?OC*eU_P;OV~l1mbfA zyLGb?vAgfFvg)@S)i{5z9jJ@wZ1G^sGbq7&R>^tYL3* z;6{U*_IK1%kayPX7o!snHo{ER_19E)Nn3dZC|h9GZtB-V15sLsB>$PiOITPq6|s%i zTp^2~sRcc+Q*`*M>VleXrm!F^{rw?j!tMR zCa}A-tr6^>a$;DfoBM(|QYYTrm>Mr?Y31OE-9G707&GSz2k_O9!$e|$@I$T{yzn+L zo>@1UKAd-UKhkA$-=~JGU`UV-p9RUKc zp!)Deo+Fr*kyijl<0=@RaO23BIvGeuYGT%Pc1P{{tPR7tUzLiaMre@;8iHerDRuXf z)f%JFXdEbO?A-3(h=zuKi%#Q2-RsXEqbX3cMf7L1P^%8?P9xZR-&baqhRN`y(@Qw9 zW)vm^r*E`Qwb`s*1c5bo|`ra8QTTn-Y`%R-rC6?&=|+*jwc%7MqiU) zDKR;f_xAj*_gRsfE!Uwe)<=xiU5dvqp2axzvnoz1N%GQ<>+Qxrt%gqo9RRZ1+oKh; zu6*vVH*|EWj=nVcFa+{4TiPB}o%i4xpzG)C2@ozB6=}C`D9DBQg^>{-mKpK0wQp#~ zpm9YZETf_stru>fL1XY(@ZYC|eg3F}f&vkG9dM0Zhyx2TWaamPI2KlUl8F5iYQF{L zD}Rh%a6!Atl6W19jFb8;Uxt5g1Y8Fe~Wd z5?Ocos2+$13nF(-k3AA?=nA_p+=)K6m}clzjH!?F=o-3q0%rYYB9JVt+J49OOT%ml z;Me0M>-fU0DP|79P~5QH@(!Hb_m<9L%jrkre7sP_?F4P(%%q+G;|K?pykE$0nw)>x zHL&}1PLiYg`C4D-CKAUySrr~HBbaBH*MS7xOONXQ*4n4VtqRW}<}I48y-@$}J!o{w zPP1bMX(QA^Y z`0Q;auUy$Qq>gkdx1<||-~H7=_q;<}IYypC$7DX!v8l9zreI+{p}qBWIVuG7#|#UW zxIZGg=+JHUf#V_Q#VH~W_BEU#{TO!TODsJpA#D#tS=-RDI71%X=u?__{TccLzMT&C z$BpQ2NPWkbwAHD+4&4t9j4$EyFE#$M3~s2~K;K}O)MorBrrZO*AnUoEJ(Av~p=90soD|IyY4${~`-Vm03g~^@o ze|CemNShaR!x*6!z47q)8rNzGW}E`qUznrKO% zIs+Zb&|Y>{_|^iE*>p%ziNA_kv+cW6CM+VM=e*~490Ze-e4&8MdLuMpBRE4KodQ>0 z79FIKj>9GHd*fR^xp!^udP2=WXw+0sR!8tYSNKM|uz6?TME@<5k}SWRB8mbR>}DlH zH3B$?Lt-oC)h`SV%x|UPOUjsuFxhEa{Qit2n@c|Lw(<(ua<51?w-fE)JANANm?vLR zE&NfMt8GPsnFxV9!i%O3dJ_$m@PW)WC& zcrp?(pMQ1U!>M=N(ZNKdrlbHzY95_ai+Q?gBrGOE?c9PA;zg1(rP|(=3rD&As?T8i z4hlPWA#Q!SX8V+BV_ki;c&clIcu=E?&3Qej3J<%N$_Sf858kk`PYO|dI@1+#Q297rhZ)g)PwV#ZA zvsZY9fy6aN5gcPvr8gKn&Cc9ZDZ`GD@c_I-U@Cz|ttD0b6{bUaPU|{axgROzZ?6;> z>RhkePA!XeloSy%>pS|XIh*A*wm6pR`Vzq^G`f;kzyueANmL=^a^=8?9DK@ZiwIqW zS?BgH&?`BQ=gx+&Q;QT+LN8q>P{*>JBzf5~b|v`7j`|AT3-lgF<=1 zT4wb*sEV%HuS$kCv)*HwPCbxUH~aT`7gqUKE#Vk>h5j2Vq1>x)0d4uGo2#DB`8t~7 z_^mw?WOW`o`jU|Ko6Ryua=bq*16zfF;EE{r9I8&r=;#oK>d5BCQ8@XS_ z`vUTlZoY=8!QtSE|0Tu9J=tCOJZT2@uZ>i$6a83-!u^GP*2D!X0xSh65lH^VE-Q1AKXKpiQFw%fuMpbY1xcIO}%Svro>S@pUV(O#gE9S^s2nAW@)3misuY7 zr=zYr5pZaeKdDdLaxL9Vdt8T_`1eADscD)vOq45F(RKQuIb+i>U6D?JdMx{u)v0*Z zRL+|N_?-k!Y3g0-XTLv(R?rotLOPd~4buHeCYcbDn|WnzTpPK*#4#fvdZgj0+whmq z2G{pQZsH-6jBNGSrVRzl*Zs<)Q(8^qXe7%0q5E$`+Q5If8vPT)Z}uUK5W+l<^JevO zav%>?O02QC++JtD32?a z7ad}r>vRE^NJ$*6Ulu14sKM7+ zPu=f0iNZoV#-5n5YR1sJbNya0c9&`QuYn? zgz%ih{u1pzE;dhf(#A~>x#>bv*J&rbzeLk$vr&%|=RJ=|EL(zbKCVd5_D@BA96XuZ zOzt=+FFs|kZ(sW(=g6~Vz4>xXP6Y`T>#y-l4^k#8@P|!l^vg6}qa?y24F)_;2qkm2 z+ysFTw8@UUs5c}vMk?Z5Cb&a#)TH*F>8M)>cQd)uoIR+ymzkOvM}qa z$G0Mz93eRTQ())ajv`S|8m>Z_p!&wg!$)<^_C#Lkx*Jrb@7v+d$6FYCy6st8S1&%0 z`;N4A9cEG^#-WSR4%p1=*@s~hW5dXa(7}zUyaC@46&^Kz<-21mY}{{Nid}t--fcGp zmKowlY~eY|W~-(IG(RD5S*zqkBLqy88ej>L1mDE`q-DUECn%I@NUbr1R6W&w>0E(t zQT=1UiUR`|h_-+F?NHI^;?8}4k%WfFY|t-aCI_!iG0~v)9HH}h3;>f89D(0Vb5mCi zM4Fd;kS~=S#Aoj|RarA$*>~G&F1;*WM@T(|>JXWks-P9amY*Dk@AQ;J#=Og`HddMI zK#H|?U&>Er?yYFA#8DQkkY&bmbuMY!$bfs7M5zRG4nlt%L`)<}0WhakXig|IE}Mo% z!<cA@>~TiaP4ISlyGa{!Z#azteMkBy5I-2(JgJXq1j80HLtHr+1n_u)fO&TtIpO7+Y(=37xlHEV z__w??8@3e;4Wno29kvQ)TkCe9%z8axj5>qaWYB&Y=w6K+*{my4lj9C(`LtLrQZe-N zg2x?Eam4YrXm-WwED;*S`3=mh6hsi(DMxeUe?8)1OqlPqgTEx8bkC;QiQMWWg6hbI zBtTG0DoLHck|rr3kTLKJdkFRSo0E*qAygJ_Q~gkid^Gi!ouI*y$QQ(E1P{kasqb&= zLoosN-?38xK#$h84sBO~qrH9L6ddSg85ek7Px&~Uw$-CHcO+jl74*5UrSg_B|;Ug`) zY={&;8U=ou|Mhn)=bpuK`=V>E2Z2Tp{w& zo5{IlhIgO0N0dHXhn0H3v;fLh!o?S;@%5`@om&1q?-Afa*-Afw4?UjX&$(i_#%J`jGUsqguIq`5_AyN(`$lhgj&r36r0Z( zaOTr@F!uP>-(ROv-GR7o%;B`%Mu)1?1&z+*`He#ZmPK*u*zhb24l&mL8Z2*ROvy!e z(t)@WoJ~`r^y)71o{*89Fo4;Zl*q=Ys2dwDa)U|=-~S1^edT*H^vc$;;FX5%&ZU5H z;{+|gNa(TwXH)(klovwcQu$aVqb9DmznuV*Z1hifUZf3|H&EsdxWn)z1q%LuRJ~yDS~uMNl8f#UD6HG3@srcAt~KRr$dQ!NJy7-OZVCH{{Gjw&iTTp z&A!%N>sj|x_j8ZBX=Mt9qol$nkNTyQ68cMaQ(l20*o`F2ma@VweuE)6Bwk!0ilQrR zvKGvNwdnIPA%F4T#CfLQlVm1a3N73=Cf#Zky98W~atf~6k zzGGOks5$BU%p8G)X|!JpxFOamEFl}HQG&I9yXB6?6X*VAY*Q+q3n}_*e3IBep#pO@ z+luk8nno*J;b41bUt`-_!h57}Q;Siue>uLSI8oOcaOcrWM)2o(l)&K`>NM{re>k(- zr#ed`2cuokr(mF}GUa}6VTti}%+Lpy zeyL)Nn&e)ZT9<;_A&W(kn)j{p4GbXbN4z^9eeayE-@7kFzOgKtx%U7gwI1%Q{hgkq z#jn|s2r6L$um88c{Q>J&Elp1&@mMi*q zP9Um*xcP{pHWsE$A37OehWABU{M7Xo^XpM7}PHjiBOc;b1ot=Jc zi13@ZB)-Qf)rG#|4_3g7Ijl~?c`PnWO_ZN&UgyNTa!7(A&pEO6uW^E_X4P|z87msr zU!SNj{>^23uEI+k>siEhPx3odu1#Ai2s!X?0jZ9w*PT;_7ThTD$age(v2(Xdsqjvr zve({y$ZZ6wrP+xmT<@zZ2D)K5 zGO_ix9yl%|MY31f3Kew?zB(bt(t;ER#XCfMRSeak*?FsgBJf_UcqN?;ywi?KGTC5Q z#SDb7B>d%cUo!{4WI6Xnwvgp^cDY;NmfozgTJ!ed#ivL$~laY8;%=b zx+}2%K=yL)3lQ9>Aj0)C$`{xa%Ff1Y#+{La-}`|QuvGQ4?1urhj>-1ob!T+|MgXFD zoPf1X!X<&7&abj-4r+8q3mtWnK6G~u@&2zLhp)*|yT3a8l&k`JCvx(HZW{Keth^b> z6z__6ddwwrhl#2p#toLFTS*L?qE##p+M|E?;k&P(zYTGhr)tYnlnv<;Oa-&Ii@YNM zFQ(**m?>d@h|0ht;{;6!uRS*q^6v&HJz3U@1*uJKEaDvjNrf!Y*7F>3Y67%)x`5I5 z7Fd5v29GxW6@RQ;Fe;+W-B3~Xy$~i^Hy|?{PBz0!qN>hc%C$nhxyinSk^g|^qQ_{@ zSJ2tiN&^&q9OQCM@*Q3=v{qusQ3nkJWmk!jt)#GuR-bWbJKNsh=PN`_*2n$HJT*l{ zVZj1yO>JU4??}k?ev^Up3DGv(%iU6enmiQxE5B$;|7KNv_V;rMo-*e%AF)2(fe(@0 zQRb;4&A9#ggFuh60Xu}yde8g56eBndD7`asQBp(;E3?4ge8HXU0#d&RtG$#h-D>T% z>gIC~fg|*EVvaBttmc zCBL+l9RI}hpCtjU{`5gWr9uOt1<>%8;)EAbhdB4m&e-{Yp-D*VUW`){d_$xB8ER+N z`kyr=j#fog-g9AJwFX1+TA>qJ>k?d@rGV$*$u9#zGHQu^+GSpomXB zonyvL?)t+^1Mqrwit;7XRTN>2wB{fZ*e5Q7M9ao%a+V(aS^}2+v==##6HVCBLB*r% zWR`ZiM=@%P$qXG+sJ* zlJu8@qwCrLmWm<&Z8B z7xliw=~{gKPMQ#%j}bGnxQKiITvwT>FXtK=8B_L@bhNcgLH*dm2)dzqDf<>Og#lCo z&E_Y%U`KD*;Sb-uA2}+Fx0{`WtYXGpqS|6H_l)u2-FH;a$F?-0VEh0 zUm4vT#GMyM-|11K3OYt_8olH$yMAADKKqw`^|ISF^wnKD7Q(K1LWxVu11s8{ab%$(|QZP^YQ1F zk=~Fhr)pvVy{44ZK3R#p{=MS~)9nyfIketY#SP$mR} zMEHYG%{(OuTH%EB>;;WppMl<+egVd_7g@Zg8H^m*(fb(-IuS<(Y}mpd|6Ys^$k1dY znEC{XC!@2_i}4cl`uQO399dY4`8?#AlyL#e)zS@&eVXBEB1RFi(_ll*(bvsg{rz0o z=}$$7+D3eHrwbjP9_*3iclV7Jhrsjx;O zoa;p!R$@w1)K&T;dp`54GwFj<;w&o}tNJ^F=d5~xMPX8`7m8CUt7OpUU#?g`1n1Z( zsZV67VBCELd0ia-x|KT4mIa3(iL%suq-CkOchH00Eah~05E4dOMB+mMDxa?$U91Tj#+HDhQajWMlY^FXO5RIf;|jNokQQm9%@ZxJnR)L_X- z%8pvLn~{$ZI{N30$_kd|?M^506x*pd!#jd$7Ad=&7fcp^s%yUK5Q3(oC0i^u%?6^K z_XhnR6N^0<)tw?dRQakMnzWQN8To)2SD~sIt|`yAq5uXkQEil6qvrU_Qw6Ru$a(|B zoo7Png3Fki9nQQK+D;=vI&!+U^ztE+zwmsC{QztJ<6B7_S*+aTm_b{k$hV1ppkxUh zLU!z}2$Q?!VCzPIF>j|*3g=mFmV9(zaoI&^g~T1#T74U2f;|Zpthu9v3(CXDbE+{> zpP}Gm{u%fzx+cA_Ta(KiqS6G4o4m5YQnA8**q&Y_eMt)kGHA%l4*3Cg6;sQJP=L-ObH$K@k1mrBZUcNsaWE}E$ zgU^Q7laEe~TZ=X1%Wx@7&wI^ReWAzW3(FodB0qOsRUW~#uUzyOKG|F))WG}vXffCDW~MES{h7TzA5iODi@@cx3rf&t|bLLEh@<}V6a zhPMhX`Q5QnnD-+^jl4pvQYUfZti0Y~=82g!L5!@@G{f~(vLpgZ@JMe)FB>I8gYH#6 zOeS*KaF_`D%%mB-sL|wN|C@Bs0rc^gsRjSn5I0TpNFbKohpp;cbM&OVCCXO z+=$4eTq0ue#V8x;Dv_qpC--XeH)8Q3ZQDkqTc{UE$!Ee0k-jn)^mu50r;5R$Ym!Zx zW|;VP)y_;3!Q|fG*|UZJ+R8w6454pFlvW`+raEbkyiu=yVk?k&!;=QH!@3|!de1-4 z;pL`vsmxNDj?4~})$roc=J23&4H#Br)`UOrK_SVW{(T~7Vok$uij0LKk48Vn!$_-4 z@LnN_GB5Sl96_s-i&M>8w+Yhm1TeBWJe5bm1t(Ecos#}RcLSoX9C4QG{1^*Vn&O}x z3n-`OgVU*VmqpZfgBB&H;xk+Eh*s54oWc2PI&McaL59)Azn%9}?B2|o2DBL__UW9} zz5xLa2T_fh5bO{n^g(y9+X!a#Id4`ZmH;~o_`O*rF?PbY;O}jrrk)as^1%v1+vCU_ z&smsD4Wuv`E;y3(fVQFsi$t~VDip#g=h zQq8Mj2IjN~?jj56R%H|67RZTk4@da@fO+cErTs9QMTP0C2wtC)?8LYnRjk?($?j~J zK^g%ZQ@;eGI8rTs2M-hP2+x`fVxlDWU+|5c{>TK<2^ zG-P?H`-&&YiI!`vfieec2aws1INA~)xEd=l_6xmT@u~Rr(m(a9pwsX3m4!RF6oK{7 z0J8S9ixiTAJ+x@@qWtd>@~W7P5}r--(7ZHSkV1KARWFL97e_`g&hrbBPj-Umw6r{| zkg(aTNr6SL_>bl=dD(Wg^_1voyD*Tl}kpJ!{&ggUgxoj##*D9G3SpK^{##Of~ci_oMJxey;T zw%?~974J&QeanxrP)n=xpNUmjS)g!;tP(nPpS6YtubRS`8SJcO{6 zaeSC_kcOz&bJF1zzwFNKz@}>HvRV67!{`C{Yvgxh(iY+QG+xgCK!+h|n{ z3k~`rS&&=MTIeo|0Bc!8_f+-!npO`hRJtSeUk>9Hu?zyN|9?3j;ZTH}PtiM}zfmNr zBK4+tQ{l|1<{e1;Qt3n=WD?l=gPwi=sFo6nLVCfVrv%LhJ`zQ^hJjH})NMsfdo=xX z0;6de#oiRS)YVK${`Z$#l~1(rGxXH%!py0F>}M5^@iKQ&pzk=xPZU)~FQ6bPLE&r| zg7bg=1~|mPmwUUlCPG8Tg>!Oe6^X6~ex%O?+n@6ISyMu+FT!Fj8^rM;V-c>%qNwjv zN}#z5t9+JG!-le?cNI^Pn+MBC$(T9s3Z?M;I1yjLfrli~y1d!1V;pw7 zGsZN)W8o70Q)Ia{sI5eM8pArYlD1vG>P#?Sf*tS04@iy%j7=```V=UFQ=Be!$Y7h` zIix=fxQpsE{7O;Z=8zf~RAS6e(2BXLHS*Kfb7js0+wmdq+M-LubkZROotzmE*^F;Y zpbdYB&9Qtukcdo}lg6msN**kWsa>q2CfDWfj#T>wNsD3r)|VCQ&o6Hv{3b=iQKA!G zD{B$I@1bK850q+@{a>x;MeNKJ8dSxzkXH5j2dp^ry2GNo2g#U z6MoISN^E-k`z#F;+p{7}(7QhP>4aOc2qdNcd?hPg;P-c^_j5d+0+t=>+|zIFC(-{C zNa~WNm(C>$NtCr=Q#VyEVGb@0S`fJ6CwATfv$_Nuo#hvMj!dO+81J#>6Z?-ME#wu4 zNs7^|HqJvW&PpUwBkXm_RU9ryj8cu`eVK<6ls*wDAV!hU5EWZ^^VC>fqIZ10&+T`U zFdHfqe4Rx{?_-(BD;){`+%jrteX(>9goZ|P74Og1C8{b^#Vwykw8HEd6>aGiX+^Zb z&hlmbvuEOZ>f>10Tv8c?sB2j83LYDbeF}iK(^SQ-M=f{ag8GA)m)U#XSB;{H@W;(3 z4{9+xIX)4&KlIFaW(mRY&)MQ5&+)KF3|ptRsts+ibSfKv3fO-T-eY4h?$+c{0ED7+ z+O6#gR4_Ze(Dc3$rPHFBWWB_NOB-x02pWCc>f`KKWh5g2n~tU?u$ub5n4{AHq@$%9 z8I*AS2VOx5fjUJyKD@=S-FMFQ<+m>Xl-4nZkgJ0@F`jS1EZN&wV}$?h2ZCJ}R5P`b zG)!6jhdSV_AtvC3=Z_5)B?6zn6k!O0H6C41SA;#k&HGrbVmc1@*SS~0VrbW!Z&*sx zl)atBQHs_po;RZev~QLxzwp8_L0lE2iL70nvR%I$IE#wWvNwQk|F|Lc8mW-cs~?hv$|8zp_=daz{6?SD{o9<6fSyoY&=k&a z!f4Y=vgF}?4w`9#;rX9rphKXXf)B#hWU1JO_AbFeR(%PV+UxM_3}O>KCs@43bV1Nd zHZ(GzZ1&By&ax#dEM`oOhuw&5M6C)>et*k!XB# z6vWvv{bJ|M78(aed28D=UnrZkk~BS1QMsH7Vpb4=Q9>YNJo0U=;Q3KPiQAUncqFo_ z&4sTSiAyK+kx;glD8z}g71IIECoI6ybWqHPQMf%JG7@emt@ZZd1H4P$YV3G6*L9!m9 zeyA1ragjRW1`@SES^IE{~Ae$>llHtAtL zC-x$W>3pg0W}xx)d#uBUo}13QJDJAyE+geoMn&%M4V@BZMK1ky81b8RC6b4*8R^_A zyxdY*6YB5yT>3}jx;oO)UugaLU{R3=*;gD5?UZyiJaTnaK@+2x!HGbv$ntMm-z}la z_Q@Re@I4S@^;(DX6OHsdOB|&?nx(P_*SkqWV+0; zj2X-Zx$f;9p|XDKYVz^mBK5n|K@dv-VMuagZl~T4jL1Rs3j}fM|JeKzrmC zYPj~=y;a3@y><$bF(+kjn?%8P@xFeCd&}GhzkWO!fVof?&aDIOD%(~XUsqP*P2w7Q zr+mQrV)b$EQg)8AV+$(s{AJ`GZZ#EFa2G!Ob*~~uk-VS&>~4~dP~cDI^XKB%u)^7j zFDwDh;EOUmZ)6~6;g-y2PRs8W#_b#WvKS!rbSTBmkmA2x9Bi{}FUk_3^ClXPj2EPE z1x>l|gK|~{YrMvNQe zY-3(IG^WRp;53)2Fe$HpGzmlBKV6{IjlbX(wEjkqWPy4=X1sr+D0&adL8{?rdM zb$FUXA{-sQ4)E;U%P1F6$g_`#+k=e-thFbk^l@3M$c9Ql1G6}B?_%Ou6slNle9SLZ zDzMKn9fln5YP)|7AE%1P0`br_y44Vi$4AX#LGT>Sce&%@11y@6l{O#Hap&^_uXIbY zTt`wJRvbqbR(iiLSqUc5`_%dbg%l6;R|G9NBLutxQgeJx-F)SN)5Sy1Ze#g7_#qUu zm-V-E`M3)rz)W7?$wtNhdJ}ZZll9YE1{#Y!kO=T^8`LX)T?L9n{mcMGvm4dK@$k24|4lLj^3wC%F%Sp zPuhPbtNN-*-}6qDv=9AC(WV*EYXzVZQ(Ydc`_PfzS4dXySB=8$&J?1>aYusrwlZ`F zmrEjQt`0d`p8vwj!X~~y1dfAk766BbV=Ix)lw|NhUl;}b6NIQ&VT(wv;f{5GXHYqv zkG(LwRarRaaen7iFYY-;B&Ww--|FjHqTL$0Lil;&BhpOYnC7KT=)3_mU0;$b$`` zCJVGS>Y{yE9`C||R4E|IQjZjdJg8IgWyd`(cS0Z1PJ~R_NBz`=#rIwRquHqFAB-PZ zhZua=R%1Bdv5jwS5h71;DB_&3DLZtea;Fw>_Iu5n@p2?vNf#B>n>p_;{kmY@&$xTJ zYk4a_h9dO5@Mw9Kkq5EpZZZWcH+pa@Ew@+cZfyLBa%B~4IKkn;NX$psqK%-C&-cOH zm0=mC^&6^{JCfmDj$UnAr<10uB~6fEDMUX7BILWv3Nju;mRrl#oVzlN_#6%u@9_M_ zm?>*1A*UQ424985dPRR(z+NdBIWZRb*A%#Mq4DZ*H|PC+w%DtthQq>FJrg=?eeBZG z_Ov`NK^)Ec2klgm>p$lA-;W}Ckwcbt7@9fOych2Q)zRQu#D;V1O#ik{3|}{s)cLja z)I!W<^irlHdFne!B(fLGOtOZBW2XoZPle|~MCm_AlwDG(RU?a^P7+m@sMA}y#?){G zz+2gh)zD$jB_1Kj1ELH6%1!drH&ipjGg!Gfry^G@UVV}MhZ0m>90oswjEkaeQ;;X! z$FCURH>fIQ&8|*0{P}*|BZ}789i^hP#XGi9^aBR}KmP6BB|SuQutdnHJ%BUqwQ$W? zWq2LX*29)PQ}pg&wsPgtL3~CRUdbQqjklyO#!K?QD4wI*T>fhOnM0^-r^?+jd{sxH+_(5PL0NjK{~bi%_@JTh9) z>-HQe%$S!{vSP{XqLn9CfCsHQerC`!oSvG++ry{#c^CVqvZc^oAqT39BiifZ-&9}WcE*SDeC~I}z#q_ssHbgBNBqDV^Oxe*Y*M}75}ffrFR_0+ z2vs1!V6dc3$n|FUM80^i*aFo~oxhKJmifc30T3NE=YO7gLehyoMDr<{H`$$=TlS3rk>-4$Cte?$Gqn8d0aQmLYb9uq>obil#ElASRcfrwBJ%hr{NnqneP~YPD*yx3#~`ci0Lj*C1#b5A@;kbtr2Qn&8DDN7VgeKJTfGn2 z&O~^Jjc6c`bb-}9c2SO7Z@2q{t#vip+-j34X^A3jO!Gb%G4fUVu`)6rB4rmsoCr8-; z6O#$udBk%`mE+miExgwhg@$Oi73|4j5zo&R9=s zRW|Dbz9p^gj0FUBnL-q!(g?FZIY3l(5c)pp^RTtl-cvZhrcb`hCYvM7fS>!{qJL8m zKT`_SxDTOez}k*OoHrq2{y3_u;jwd?{a~xo`zZFp|DPZGajfHcmKO)A|mDSl$rxj)IigTHffrmRwknU@@zIhiyzqfvKB8p z+XZja{`HxjJe$swjjNOB99x`Y80qDl8^?s?yLSjPx}}%&Go8m?>9%#p*q*Sgpl3qG z6_Z@^efg?9NYqVMwH%`6WG{2D&*F8bPYoSDQPzB9$qbReABgqe3>S- ze?MDIQFYJdM>V!eXo2Cqh#X^`x2oI(nsW2+p)GrF`s(yp>XSsx`Iasxj&Ai!u7B>A zu6OS=Hat8GZLA|ABzp_S1Fk`-RAEg2Y42RHsi4OINd*ZS{r{wQ>It*sNNM&xluhR` zVqQn7PwFGk!t`3Rb;9x{spPof2`k5asIz5=z3+D|d$8gw#OE=g0}z)K>h^Gt`L2V7 ztH9>*t_P1a+f9eD!J<^4{VuN%I+i9${9#0LdW<$tj8YtgpX5qC@rGO66Xk=F_4PFu z6~DSEQunF_%_mHgZyyAGaZ!?5(y(p1eOa>&Da5ls^_!_8MQ7ke;=ymU5j6$$tFD91 zuluT>o1HAZ4r*WS`%duXTyg!k7*xb!KyD8YkgRqkU5(zv%h-r#tKHf1rsX-_g*O02 zPT?U#J22NK9+)Y>k6i3<+<3?$6S_dC)C|akF}Yt4uDMW2$v;a%R-+QTbjo^#qP?k6 z&l@`X-J5eflL64G;qDbl1yHNQzQyCU;jJ1(3lEyO_V2+@N62l^)lZ_90Q?Wo83;Cd zEUG+Gdhb(*h_irdEsJD2QQH3Tn_v0K)DqIc<#oA(5^uPUag>L%wr!2mXIH)x*%e}I z@3uaw{{|8qq~KpmfJ{0em;zg>c~K^4GUmtbzYEB|NE&3P)fF``ozvE#!N++hGdL(r zAJ9C{yX8w&+T;TmSbt|wd4Lj(1lW)$el-j=0!!i8%s(ky?AXW7)ol4A5sgmQT7dIz z9$p#|(C|>f9KN`tFMN@ediQ8RN=YJ8-8EN^535>km?{&1YFK41s_$L>8PCS0Mn>aM zdGZY^B#j*eG+kOe4$F+5ZrPvmEuD^PP)9haVuz)8CIRM&C?o1g*~}{5t_1A~2Z*Ro zM({nL!Qfi5q2209E?pf`sQ<;l^U4n~iBdqnVW>$6V5lo%7_Y^9cBwjrTB4DlY=~4f zPkeA$t@8eFt>r7!d>`R&4BI_w#t6SFg)b?(-b#qZYN2h&6VFUdDPrgKc=U8KHhRbX zG;H-@(Tp{=FpYJLh#QTWLf_UK6%S}UyFqF?6?d%!_p(+W&-?myxc+k9{Zx%y7t}9n z;VfAxT>blc>bw}i*#x%a+33X`d)guAH#Tm$h<0QmjdZ~Y9?F}JA+=cHoe}9=Dtx&A06d$hXT7_RpSjX`twJqL z;NuCFa`pT8`YQ6Otco|@z<_e@b0DnI#Oc7ha)6KIx?jDrIahX+7?#q`r?sEUxu3Ew zvl0867MB@}06%(!&`IR#WF|~9NHTBrgE$uNrT={!+}2et0vM3;p#L(J&zSa7#>_%` zAW_&N46cPxKqyP7u3Pb#xc?SmoGy4Z;UtF0Dy>;Lb_HH=G~kKLDAus#|K30NHGUL_ zxIX4mYB`n4;9q+^h9Mt1i#;jlk5v>s$J$cg{}}lE);T>);lE=jMHF?W)=eaSjNY>3 zPO)ZiQ%Kms>WbH12M&Dx6jQN=qLuL`cU^nyU74+s1Ul@}y#f(=vWMJ$G@?Z?RS*ds zz;xz{vwmA;;Z_cCRov}Omm>D|BF9H{5HpZv&2H<>wwn>Sq6!1=lAE9SwKCZaE-RNF z*e*tYIx0`T=On-7Eu~*TvF@+J#tzh9EN5!Eh1|jz%HCYaul}PX-hYa3nFN?#+aIWyEWsT zanFDq`PTC`r%Vm3gx9yd_E9&8C7VNuz$5f~g_ks1;Hxq;0eH=S0bv=U*P`t%^WY#` zN;(r)!e=7%=|x}5?*KRGvzoTz)uKe3G@buJ4+LTF((v=kTUof=Y5eL`UsP>}&febn zdJHRMV_^07Tg}`4ThW*Gv(qtvzuP;^)N>+#PlQRlo49z?lg11Z0g?h=Ub7Tp?`Q*~7_gWnh zBW|bn7R$Z?-0wz{b~$zuf{P5p@G#Iv_~O= zjuUKP71_Zufe-*n$5or%(NRN8e@SK`|3v zWlPw%j6F?6&sKLwS~eCxvo`kc(HwE;5|b-6x^UOBF|o%+EPKY(Wohx>M!ya)vdnL! zaB+J;Z>`O@(0He!TjtP$&XK>iF@HB-JpuG9E$e^ny1B^b-tW*db@(RE!+Z@`e(8-~ zyx&ThT?&HT{$%*`UlF|w(U+fIlDMezDB&CXXsYvNJGb2XCcm~srwo-iU?pG$=;CuG z%9fEX>LThS5CClQ>7@{PB72{gG!Z}@)cYetgsXgK@mqT6$hSX>j*x%gmke1oaQ2eg zK!{OT)>i!Zs>=P2Gi(nCbXyua^k&dRy{|U^gsNY;wq#Q2;)cC#{>VO4J%JM9^L>qDW zhe{)I0l+}yak9k8n89guU&jn~=Pe67DgU+VGm<8Z3R*D0I0!~k3^1b&+3r#B~sAjBY>47!u)y~?R=5&CZm*wL8a~_wYjj~b= z$8C0r**SZ(xQAn3$K>C#G>m7?|HMGRKNz{Zx)KMxSk!4znCW~V?1%a4qQBC4{f!>x zSOePpluTP%+Uo@Zg$smZ&22<@7lQ|F34@^*xFk(f&*aWfqqnSwzlUE*oPRZ24kN(9 zxd@HA)B;Qb0EKO&iJS{qP_bv%1Adp{O8*b^{bkfFx|cBusG}bO`aX|yGfmnO-&R(C zllFT-h~P^AF1+s;ozi+nZi z|M-mjd-J1V9p;vM=EtMl2*Az*&q;%Iicg_$Utxa(H9dg6gAn+n!3GQ|KXH9}C{^U7 zkeEB0pX83w{PR*RdMTVTm{Dx*zguHRfVhrx4i`-mn|@xE-iOirtSvHkONoqaXUu7= z3l;-%F^Sfq<&TmRRI_4;BYMOuQAW}uUrxW^XXd;@J=ihj9>zS~o!;lDbBS3Y+#?`6 ztjCK)6d}!~(rcHAYgjh>;}<=Jnx3%OJ?Ll2RE_K7hudp=4jDGb3HIqFMFf$6XVH-4 z)cUA`Cpjb6)pB}WyO}HXC_7EZ{8EhpiInymmJ<=qOEMcE6TwpEc?Rs{$F;i~wJ=)J1)>nWgzGTEuMuOZvVxh7e)N8=0N{lN+ME9o)|*n+$qa z$=*(5Zs*hXGU{~Ca)UH8BRB#zT-rLTAIcA9irJ$~Ep=g8YRVal_zk`-PTB>zbg z7U8LHL(CN_ef1Okc_+VbN;<+ny}z;Yes|R2$9tfkP)B6-TN8`4%a@EJ+EI^J9JAgY zQ{5fAmkRm&R$>hOUeB2)6_sr!(rWALMr__fQf>tTNkuwoy4LNP*maN0bq(0jMt{@FlA-IjJ) zA*Zv`2LsdA(f*Pj4eZjn)PUjK2IoaI01!U(rPWFAk-=)F^L}_|=d-{4m)SRpoHC4S z?@JgsND427bqqu~fLn@<#ne$M|G)UCW&`%SzY;e?Ci?I1{a3A7&b}l11!u3Ocd~8k z0IfSROyF+F&=$;=zd+t%x)STcUO*k9T(p+c!{u*a@1ST*V)?6Zr--XgRG{T0VYe?2 z17Jg=s|a@*0usM*Kkx%=xl8{#gmHVc2~fN1O6buExTJ8CNq#;@>QID;VG+_GzfLCG z%87zCo#KgAyOv;mZHN+{UA{$!GoZ1tH7fT!2-8d3cGkA;XAtmu-k{=m9c~b+9X4%r zvB8F}-=~Xeg5TEpJWdgS8U7>U=G~ZH@CQa@d8iPM8JFmS@?9Jf5H7LWO6&sR(o)@& zQgeHSF|Kv>Cp=B*mw^oY4OHWAlF6HX*?TW- zWTpGN=BmqtEoOxUP7kBHd))uTAO9qADR;{^uXW@YU?S?p@*Y)td%5GIGYFvDYuGk# zS*iKf9!SmaGz$!b@;jklhVwf~U|27wnr%7ga9kORXy+iTdMqG*-}sB$Yj%nDYkPyj*$|93&g=Q!&EBjX>{V}qE|npohyeW^$2rS02;8@MaTc9&P?6|d+CO>O zQCXl#-**$>fX+vsBY{~f_{K870xUomz*MHZ(e2Jqz|taXlUWAFwAs_^XDifb`(h}= z17nLV?8w3Gb*tSfz^=3+uDg-D8|5K`le+>T3mp%uCQtlekKt!P%smwm9-QPGXEUk4 zsj<=Bhyr%o`_g{tP+M=d%o~`56u%4ISNmMIt#2m>luUhkKBrk|+UYJ)63?#*BiJrk z)JQH%{=)EN$CYy}WZt6v5;dj?P*egP#5?;VgGv+ZX#6K)J_ zq%K^Q@=mkg?Y$WN3XC4~M7bEpUKzI`!dOX!VL*t*bnhTM(^!Hn>(j~rWsFAjoV(S5 z@ps2}2_I_D6n4&FU)Dj(s)wqoZ85-aj&)Ec`CAuy3wdt-5VJsyTptqjTWtm8klU7P zwfgOphreQ6GQ3F2ns!8__=bp!M#|bz&4kagB(Hh~t1C%#T?E|L8HH7Ke27-{-w=84 z{jrjPhe>%XWFW|s>zCrB|6iyC=rI|rbdFVotujp4{}BjH*EMPS``I!>wrum+Oe0n> zFT!_XukL=Ej+b1;JcCEGEdRM;bPQ_p<81IIKVX~Hv)X^9e2NB)egF{%;N0e2=0Cj2 zb>Du)u{K6eOiHM*61b7F26P~Tb?_R>pFag&j`qEdX2aSjrshY%SW7tx=wo1zJgLo( zYz_i7GzZpJ6~g}+&rMIKT**La3GhJVG*(uvem~s&Bst8r@vMrDJ4|#7lePH#$Bx|# z_ZR&}uPWi~G=d4&B?&>*V7=Vy44<6!SDfGt&8Mp$|42aXL_Ngi%p`e>KtX2 zV=-V3dN`=>dzeehYh;J6zFkGvyHwjlzE14~(zuzbH&{nf^{ea0eA6U1^$9_Wzw#g-25Mso``Ix3hOseuD``9)te@PV_t{tj{RO$E#OdJ94J&vwD>Ws5dMiS zg)mzTgim;HFx_hQ;1`>By-mj?wMt0xQwhXy0zxKX;fAk139IDps#lEm-b$++sib{@ zE=oj_Zal-Nb+fkM@Nmv1#n6)uLXBpOTIX{Ey(Ra~60prZocRSexki2=t6bok%Zjqn z0jV^mh~B1`0d*2WgV*l}SC#K?&3eBiQazqN58oP7l!@4CYc&OXLPWe4PCpxRNLdDR z%aRqN03RllAe$p?)95KsW%zmClx%l7E7=*x3Y0gaJ^vU-9*w)6Cf_P9Mi`p{ehfmw zN|r$CacWbfDIZbN$r?4l>bylKvM3{n?{vVX*ytKjzuX(rHvgl)x`nc;r^TU8p*|XJFha>b_vh1Ym>E~QLHKHcL8C?gB75iz(R(<5Cx9nfQqKexpu+s zS3jP9D&Un%={4JZdaW3R7Li$LocH3C53?AfM$$#N!x6REjPazfEbBGxz^8qyBU#I^ zx54?HT395}JG&U%1T@G5NWcbv#BOIucq_q&$!EoUe86fxZ===0Q$Sv2h~rixXY6V^ z?uic#Hq-6=Xyou}LA0gQRl}|ySNV1)Pxb+Yz-gJTaH1);EWi2#nIJ|2d=atA5!i}H zmSo2>>zm?9xTwK>1YZ(vi&2Jj0MMuCun_;}Rlhu7z{A?J@{HX_+bsy6eiT zdL~0(M4e&B_l#*NF9A5KWED~w#pn6O%zJK{J&GQfD}=FG3iY+r;#$-%6iw^!d($OI z>&DU)R#PA~l0J+d?=2TFEcp4=FMWfSI?jqNB%dh1ZPHLJGu@1TtUjc5eRzhj7iU*W z2|wnmrzZ4B(LMY5&#%puu-_HcAmIE>EpzE(MKWr%L`x&vB!@ts0*HJKEt*g)Z{|ns z+P~$+V+*oMBP^QT(LC?+$-%zQk|My7+A=#Vm#2ZJs8MAyS)-F~`=|>7E@L6F-E4li zX<3~$O==-9qdr3s-Aw`DSdEK+GoBn@Jf@vN9w1LoC7Ef3Wmz!w_Sjd2dpejSY z{H6ujoJ~INfMw3c3G0GI^VL zyx0!|L9^R4AtEtN z5*E3!1e1OK?}ri}nQ_SYn3^1wn%&crpKcWcKuf>rgE8Yy=#T;1^#QDc4_DzH{|QoX zb=;+nU1Vm*;dw(RssZI_B>ibtCSGU3I!}}<*%Jd6RtZ8?iXen9Y=g6L`Xu-}v+fnA zVtMzdUw-e#*KZfX8;gK}6;>?~rc17W|K15w(xRv1ZxKy+SU6f#%=ny)PbBzM2ivy_ zJ}$~lu)_oFKcy;?lM}>Z+E$V2=g56_wkW!g2iM^;J0oSZNyB{FG66A00un|$Ht;C7 zOpL@nJ~FnS+3LFmBD-QW=+0TIMMDMxiEK%&G+*IJ_6O2>+>80rMU$~%CDU2;eG@RH z5%1Ymy!{})5JRTX>vfu6xGboW2@Wcp4!gPWBn&#Q=?r_J%au;*e0v7a zA&J*E4W9cObWgKr(tNWu?)H2$IBlQ+xC@w~o9O@>b8NNy9x}yxwJFNBsH*xSip+vz z>A_Q`hS=YVY^*3NY=-gIAP#lm{%o(tV99s0E7&74=}gpLCAhoR8Es6j+vZrYTiYgn zsyEU;ubSWm9t8lMb1iMADx6`qdhlR^dwkvF#X9W}!x44Dq{y*i^Rv$f^Yg^roPgT` z_Wd3M_?JiU%g5+Iu-1x%wtt|9y!bzuMcogD-KDG+2~38_o>-uK#oMdKFdYK3O+D{mJ(E(xBEfpj!mv4Y4klR3o`6HKJyA~U|MBl+uiMmxs z9qam%B3v7=3&RnP4LeR`f0vE@CV5M;jN`q}gTRkXy^JRnY}W*x+nmt_>ma_D?fbo< z43z8Jyuf}h*|cL|gnYwC6~GAe$;u3egkv9DR>qN?RW_Mf*(o!dvW~soucOcRci;Epao>-}`SW7f|SAYDhu%7G($y>2VWl&+x=!c0znUU8^)hwU$m;8oJ9Er4dWyNJo?5tH$Qjiyyf&zyI0TOQ|F*cKk1t8@{AHL#CW6J4>q3qnM zn>YkC3qd$HW#@m^e!EA6A0x>FJd9P2wuYb={~vJWIbT!THOqW!_6)W(t+78*VIuvF z2zNT1BRZy+ivd8FY#-v>p~q(5>L`}4)Hr?u-G)?^Kz{Vsn72r~<@9FcBgF(A6Cf7V za1LHO_pvot=9s&lzU%^{}s>*fEOC{K4s6yS9-5BWEKlBu+lO zbg6VSv9E;QEqlfO-za+*V&C+U*UkNfu9!2prIp*T%b25dw`7`LYQU0$#a9nF$OPcc zN=Dqf%riu`CpVx1<=4YzHmrR6ZXw_O6;L{EG_k=QPRo{w6;QZq`xn^6?!Hl(_&rNH zh~gYJON+4l_#mnI+3lM?r@1azek>CcdB`;y#NnTE^H0!0Meu~eikXM6Pth?~OmK)OpU!6cqPQM>>f45nXB9wBz!>dTArYKtT z6s-C{seUmJA#@q)3R-_W^vJv>CkMd+rAeMS{+tWVKgNO@Fgv<_(n>dXb2gTY^1&@& z;ctOU4jOI0;PLZl2d;RZ$2?yG!ui%;^6B{o*P>) z>LpsjNbkRyPP+eQ=>AY<E!=3t$Pkm|)439E#^0vw$&#C0TUPV_XZpNtfBY}$ptU|uI0K2=y#m)R(J_mD z=TE05#pY+5*?&|lA%)Khpg%mqb+y^`*wVM2xcEaQAy94>2n9}0njrcK^b-tnF=FBD zWJ>5HHjb9Kq*A04XAX;e-%;p9R8(lMdAgFcpcnvQ%J|!~`gFyGq#=#$%T|A^1~muyED$^0x1VN z){I%gZoh|?FI_KxulLFOnN$E|iIBpV&ja!`Tob)Xi11k`3|lvh;w-qHsbD$s zxLp5psICd`VLCbvBfSO|_y;%vJtoK&BYgVz!}S96zrt7A|89|YtAtGtGk3oUfnF=O z)a4{rgwCAkHYq@y7$xC5kJ)@*=s}ve;P0OluD!{9eGWC9eSyvtrKqpf9qtmRe10xh zj#MO`OmV054Z@^t1duE5ZoJnml4NG0i0CkZJ^BWhuu%f|b&l%GPqi*BzhZFtrz5)dc-o-X!xsiTYP+ZXB=ljgrmUd(vor(|v5>LWw1o4Mh z^OFy*l>`U9m)Pl(QJu4*h2kzl$mCPuMFFPWDo@^4;W=>Wjp-c_0aYbn|Z085P{z1u`_z1>P`ztj+LoK98wj zfA+nM4{m!;#klwY%avvAfo1bduhB|mV577f8+<&N4o42>r#GI6AJquHC}P_0ehxdV zHRZsS(?xlA>>l!TJ=M1 z#IS!n@Eeq2gO;ygXvW`+h-~u4s;TFjNp!K-GZIH1@F`7J$*wP{3VIn(Nx;(3X~0B% z_jEZV?pjqYw}yD+%RgFC3%gto6J(!kfBJ=(cyf9^3qdb{DcwUEfC^!y1YKm*kY#L3 z7vqM>Z?`2bZ#S?C!fj3M)abQRsY_XiRCW>lTNX{Ed6Fqy<(_Y5{7X?sB6B!IZV~#V z4Qpgh4+HoR)o&>!=l8>ZJ1S=R0wcx`7&_-BD48?kEaWRIe63-+CWDy%$x#qwoA&OH zsa`e8e2~wqptm{MOEZh(ohgq0;TYL4UGozHyXG~Tt*UCq;JqU^f`UX+o9Y&V3-VX? zP>mnhFpVDXW5FY(2j(ip>hH{W%59jA=en53dY_IkJytDFs2KH1$Hh@Hb=K?qUbXrz zk?aQp%~Q@+IORrANL zCt&_UL~`bhU#~H$H2Cf5 z_E@*unJ^W+2^ly(C|d~pl}F9Qgct=*x_`G{3xN0%Okb5&uX<9wm;<^(8^rqmdsa` zbjn5u%Nh2%y%2IF2^9f8S91vwytE}vUUSIOR~Sf_AzLcNyS4LJt3k`>AbeydZ11*= zrfq8UfiQ)w8^}ix>iuc8L)BrtBA<;fYj}SHezH?By*az-sZL~}sy{?Vx9`4q1hR?^ z697bZswOE2@dK<_l9s(c)6L=E2f6$GFG~zQcE$<2&1P;wy$FqT)mHBw3lxN$wj_*F}lT^SQU| ziFBX8A~vmx&lNwubxDzBNtq3!plWcr@;?`5;D6tXy2`skB!7o{HhHEF!+l*3DO7e> z1u^2Stv7JrSNZ#~ z#Xa+d5*e&AwxDmkdap)ehfif=IQt$fJ9etBE!SP>@8i(vmh5{8wL59#`0dd^d1pV; zcppB8WF(UJhkAUOjVIsVB24WOGgRYqU)6St*d)Lqa2@FNN>~wnO%N}XQy5BUFOfS{ zCPA&;5RGirYjaWjJ1fR^@^tl0c7f>>u%SX03Gh9gRyLPA<&3{2-URY-@mc>Jn&dAp zEMj_d7j^tH*ZYG$LN}N|e2OgtNYKIMEco@Fw(snVZd1Xa;npXXjD~+&LJ~*q{a~yr zPkdGUZl*Egx4#8nRiQ{7DdvDs$>MjKCYKHYYH;*%CvS+fWIk@H&cu zHh~u8%~D4LRft)f^4~l|auJ(VPLRBKbnT;>(VZ#bhL_csT{?Xen|pP4_@Oppp^( z6HuwJjbYb$a;cVG=r`+*`srtC=4Td*s4rE37bPuzPG2s6?7m3;17WZsp&AHTQdeMG zz%jOM8GHB1Qh)Y-+{Dtw0WVd>4~3JTW~y6^B|o3nb?A3S2;IaaYR^c3F%E)9Z?StK z0y4hQ-)>J{exNn=ethu71%g$;@gyg!s7km0kGS>cLRZ>{fFo-rjN|@~7p0vkHGIHD zz5RrG$?V|^eNCO6!(4rHdcHOm3vezRAbLTI>{9%^JbiL1^7nD5-F))#GM$D0+jP2M zlVy<~h{j@g0X_Lq<<%EE;sfzFJodiHr~zV;;wL{5%2RGvWY_tTyrJgmKqgY~y~VMm zsre@@x!z0d_5S)U68>B>l4aNn3-c`@NZ}Jo?I<1gOYX6v3O^DuSVDD%&Ersn_o_4U zbWX(i^kvFT!pCgxc4H4!r>hb!~5Ecq*gb`J1(#HN|x{^m3i`;iD== zNaS5ok=Nlte@w0-gZ>Uc{P|BkY0n(-K3bTLJZTUSVDh<$N27j5_QT`}M$STf+Trkw z+tX|-DwtrJ^NkEIHpulaZAp4g95EJzKl;{Rh;*Ma{C7C&0K%LPeg z*x82HNSKivelPjt)QVtMyf1417V$d$3$nnIr(p1xR+i4UR(k|e%O z?@0i7Ap|cloqr_ZC@> zEo@WOvlbe32}eY~RImVH50q`0i5h(GC6YBc%U0w!b z^%yvQ4+JCwTqV(1ej7%|0Dr`oWv%3_`{QpT=dY1VK9o`YXEhp~y=t6SR_y5M^gXzz<8YktyIZD|~e z>MqAOJ9Mpg@O`HB@#_oYfl>R6?Ct~q-gqkL1J(w4Edxk~oAag5OMGGGsS; zd4Nh{B!>WHC%Z31r~v6;A&O|kD;s4Pb68e-aneFOk}_djP*T8ok>%Mg3vB+BuNApY z|4rpVst{td^e<8@h=Jl+&c{z7Ri(E>9bd`~FvQdFuS+?L3+kvm6^$G(1groQfdu z*|*rs70vI|jKfH33c_y@htWeCvLw~wf2QD~@6V4i-g-$_h{H)bg7@;eR-?v}vdDld zI~_2`Ql*{^a7(NqQYS1*f~I=&!oT>#?48S_EM?fV$$PPdso4i zLqJ%PbN*ps``}V@msU@;3bRYqvms(eB^o@^{d7T9?v6>@)Sl7O9RrOhB*@XfK?D*+ zCF6p^k7UsJs32+iE$c2nRePi;|2wZnlX!F#= zSHp|h$QaQ2p^YcE=n2y!Ei|-bV9&b`i@taWthkj;3P0pCTwB;G-n!F+pUJJM%x+?> z#Tr+ChgH@#3J9{VO$;;}98X?6EA@jO^ zk)nx?!lLIBim~HX;vqSbDTF2S{*OJ6hho_-YZAzC#!bFf%JvBtbPx!g{?u?3 zG*1lr#0purfa}G7WpECKYH$NeB-T%Vo@?eZ>wj}$(?o}2M{~34dPcl@$C?2(0oigV zr6WE?d=f_0tq}?I7Tx)fW<4_ zdq@?c0y$>>E#U)^AQ*1Y@H2?qwMVMc4RtyjwHy8ja4ReHr9+Jvhq2d?vAevWA$v99CNjj>B(;v z)NEKJ!bH!#-}3dq77`PX9hh8u#I%g9XdZ=azB)!$ww|}ky?>yz?IMlgKNJ22B=aaYyM;C*=-6)n$t^W9x_GK)@s$Wp3AYsQ6qr2hLsO-@ZF|IDm3WUs^ZcKzinW8z z9%i2T8u&nE<(vqVNCfir=&rB{;atxac`hnV>N>7l-AuUJ`1>zmBM7ze>Q%RX&PU); z8Nfar{ht+rPC3<7tK~)g?DPfF5!BJ!)Ok&&fj!|5`Rs-_yM{3S5(SjLnE3WO1Du3J za?PR1%sqy0iV=AGc8EL&2Z+>z%#V;(DUwMrR#%sEzos*#&WDxJ{U_SC^spB&+ zvGERBd`nQnfu0hcdX>SOk1%DPq#(d8g0+ana|%pgLmShzI2M-)o*!qdxt!u<#)TC( ze=@!PYhR93*tfm|AxN}2*W0^o}T4~2pTXqvKnTdQ4M_ls9l+?=}qI%Uh4 z{ov7_(;y!?s&J9?wBZocpiWje$AKu9!=VO?4Ab_U6x1XgqxxV$X z89Rm5S+838&o^gh^QbS5xst;i8XmHXXcN20Wjm6~Sp8MdY@;hSrhr1+Cg8={%INd)h}e-}AX@ z$j|*FpDaPvb%s}47!OeeTFy>NierR}5)VEqtg&DJik&95ua2gjp)5jC%;zd2={CP6 zEbxCI23RwNkOSYh{n&Or<DmiSwdb7sm$(OI=-Zd+ez#BM=b{ zpp|8|V@%4asfj$Mid4xIr+Drj0{!6>-=4V9NjC83b+9qk=6h@f`iCH#=PQQOSnwC& zk_OebQ*J%q(~jO_!^F~lHjwK_efbS7ne^0FS+hWWS%e>)dPu={{N%h&v9Z0mqYx%A z*5Y$`1?9kpzRyer*X5bQny;1owALM8+;}xbjNyarDM0)*{Y+OD_%R9h{Yn!wXp$Am z8h-soCq2H7NfqRrM zR=<_J!qAT{y+fLa=eSUj$^RxSGGIDG1Tpj@M_FuLnA@f{ zyGdc|Ht@+ygt7O()~>WO{SsrcE3yS}YUic+%{KzymY~UL+)GuJu>6f^@emmNfvGB* zT0rU}pHy%TD{HSE7a32pJO%|pjKX)+M1A9~Dj$^VzG?!a*ax43(Ywpl0tm$rJ5xKE zaD#)i*Ik7DnAo2Z?EkAxG$lSv(O7>D((xlbQeS|=tq7Cb?CpjXR;KlfA(+GyfV~XT zxV2xyksaWmUx){FxWI2>^*bba9Uk0v9%Ae;{cJp(`R1OU$Z(wS-H6&HOuy&CAXUtc zZ}6~vjRpT z^ejA?ouG8s*(cq!(tS$-j)6AKnyZcjJ^T<%9lYosG^vBRn+GH`8#^T;Icjp&pIy9E z@_p1~kw^qf$J(m&ruc9}a=nBHYU>D!(b;UbhCD-YIO|DffIVaK8y$FrWAuDJP}s7hq!`Q_xpF{1eRF!bBu|;?1=ZvW;-U{y z#ca#l1J@ROz=hf!QyJHj0GfZrOmq~)AmJ+C69}oN2EjFLXlp9gMFbx3TcD`!mEci2*$vfrmjZBaE=pM!c+e&vg zUWi?Gz_R_We_*``3Ex&?g1%X`wM94?cC)#aEzE<7E1>3=?vS77Iz) z&+RW>9pA=0fWg1H*@8Y$`wV!u-ENKa#`IcjUs##S%jU=om?1H1?fDZh&qEXJ`w%t# zeL)cKG33?dV@N?QaQTZ=`_80iUg?=-#P-@kCN(^J{+CkTY&mI@?3MHyFd%&}L+?3| zJ~>VjeZDQT{k>$6&woRp+}yGHV4(b7F9T%tib$nYb@b z_PxISrS@DzhM1vq6g38B|DWYCn$cX#PA*eDf7q94!ik~w*`b?%ST*Vcqqg1hWjz>X zO7Nb)JNZzhm9#eQdQpWPx|cHArn>4;Q7E=PUiryn*9fCwNr)F1M<8)Sr*J^<_~7*= z$8HfSZ9Y$q#r0O*Y@V)A8kWC=@a}k{yc==nCTCERUepPP4X6%k+Nn62lReKjUu4-m z?R0BLuW`-<%+4Y67!+mH|6@S$5g?Ge2f+`I5=lVBvtcvS;>NX2H$J%Fvjnp8wZ4D2 zf*_-Iuya4l;;`%_gY5=UT2*ETQ;Y7cc4wWrbMM?*GcIB(ZxY#)`Orgi)kdO+4+E0V zdQSBU8%jh65lW+1Q@Q)hg+jLxbelV*zq}kFavJZl4gG?+jb27O04?Bh_>R(fAp&oI zpk(vd*B{~Lb3f9~rFzLjUSG`QNG~jrea44TEg2w7N)|OPWk4mB#Diq-Kj5y4pc&OD zoDjHN0gVkqGFoZ-t0Lu9?@-6Tem0_oaeAmFZF~yH76(Oj-t#OEhH7r{r(!xX1&m$o zYcgiE{Oy%#+m6`B!dJ%w-&E3c-ZcluD@m&ETxiF8ZqzbQ*ol9$GEbc)PhA!nPU06;t= zB?BInWjLwyc(;B;S?^~GI@CdH9inS1UVP1Dh}xYPKU#DL&RDj4GyyYg=^tc$%%FmOqV%_B0z7@M$;N90!9^2O_6kUv;-_ z+OIpCI46Ag$H|nGqQ#4Et8Q*#38f^8P@7-Z%rKGz%wqzWr!~BSsi|&V8+i{&Xq@`X z&ExMwQHFz@i0<^7_*I{$T0CLcU=#a;8ptt&_2^t@qz)+}$lt(j{{ZszH}(F*z!sm%j*}v-A=M*I^~DyB8ecjzg7+I-|%MgL8o~V(j{jItKq)g z^dp!Sutl?C+*l?NxUp5zyX%bbBjO`%`|s^{+wpJh+NW-Tmq4WnU>ewE*N1eZE{V@n zQrSG`BGBo{I$!%$$bHkvGOrrqRlu)geBKBOlY~;j$NT#8Bf6jV_a77<3{FLev+7Z4 zlBK@y-wK3SpA0M{Sl-+mGwWz{)owTq8tI@I+_JhJ&e{H#js&nag{&!zi=Gm=oIy40 zu;~?AcRmGe6K9F8GjS6BRroWQkCgEzt5@u8)6<_QrsSg|h$ot)TPiG5JZPV7ryFw_ zd*30o$Qg#0HvP?I?B)p^t&FjR1_Ou_Cdfb=0PTjL7L_2el2$9Kbupei3sRU!u_{ga za^k1GSAEp$npu5(XTDLklWuJTnGf%g`r6mcmGO7pr_PM-kZVi0R?o={vfa29}eKzp9mw@zJ$$mO_~B zzInL$8%wLc6!A!dOY7vfX71}3{CUA8dBr;vZ4$U@DZrTmL73*XgYxua=BOf-@7bZl3@i zBeQ1VM&RT?S@gN|5wmdD({|OYkND!AJoYCGR^X*Xxn5xI_$76IJUo%?v0rYoH*)!? za<1#j#dg5a49zk$^dNt4VWY~je7-m-fkxB31nnbMF>jaDsf!Okw`mQiWW&12_kQA$ zaf(C&{-y01>+M9vh4k5{ydop(H{&L($9}YuWnP@;x8nW-r6pxhf%}d}F|vSg_xv07 zr%X_@By1_n-VwVe^DQeIxWOZ%q%Rt5cXqKY^bDA#2D6jWnI?+iXj#>9aRl(&X+x& zd{@ve4uqNKUBNV2cVy|8Z=bT6WWBvDJVxfPI#sky#c9HZl3MBHWR4t&Py9aa6n6TL zyocTbfA@_82Ui-@W*U&0!Rvb+N19-0*5QMFeSb$zkxrQHdtIcZ?s!(6w*80tsJ%lr zy)4gFkHF=$8IW==UTL2Bcnn=a!yz2IP>S(|0Sy()2Tg6vSC;c`X` zD4-P{HWy2W{{i;7W~t%z?p)m>fbu|CsQI{+TXRP_#fm! zAHSq<=+=sbdQZRl*Sh;?0AiKAzAEi5etTHJ#%f{Cv@Pys!05@|JYt)2?=8kriV8Gyz0IwxA_(XFA26U7!S1j?@3Ov zH#3Ogp^i_31Z!U;f-3zLlOJg|+ZsY~zwj5$HWLkA`wgHK;NrWAjAwN|+#E!lWWo2!F* zHDSHObzZE2FwWO7?fXN`5A#(XD*A9Xr&ujkNC%x?1j3~G9(;a(mbj=?eBC3kO0?*+ zctl2guM>E!<`vB`-~+mqWn8=i+$39xUKHIJXs+5`f86g zdhoBz$o2)yX7B|AYr>B&%$@#WX;;j=FC6Hv;T5_KAds~@76TK9na{wUe79fzlEaJm zGBLJpRhZdi@sfi>&r3t$-!9}ZsfRZi&)(LE=`-!_&z6fD-tktx`%C(5ugvGFamC>H zpohJ5l%Pcm&SSz1OQnxQL4_e1i`U18CG&h|mKy7`NA~)*oTB3~7DJwF@gqkp13!p0 z>ccV~!QH*!+x-3)rp1M9igf2ib|39NI5g;5+~yD8V_&hrL~NENCQ2O=Z+unL zb%4*z?T4F^%Xk;y6+!$8x+^mI;kIyFc5W|h`jrvGQx4Iwqz9uIHFRNi>23!TK z>nT0uqQk{BP`Iv0MTBS2b>#V6b}eNnS))s)u*>u21Dwcxwk55Pag2{EwgnY_vUC1Zl& z6q0-GnC+b%I-bVF+No-PBl~< zh<7h7xn18OzcStu`wy^WFdI@b6oG9RPrG)_mEnHq<*mFBGyZ=4zhQeT%t*_zAF>BB z!W9r};cDd~_uy7S^7>SLwVM*2zJ`+woM%eg%8L&GS2cBnO3O(`tH({~oGZ3-{SWaK%rTp!l>u|TAY8%9a`RpOe(JH&^e2q+Qo*b* zpdVw&>g}u-d*^@T1S0yc~ z^b-kHFMiT;NNdj3Xf_4#Le@&0g;&6A1nQDGus>4HPR36Phrw@}qXsSfScEg3_!B;= zTt>ALE;P!AA|&ydzy4i&=8Rd5O(7+z5!#FU6+K$>f{4|j)$b7*%a)0{-<7Ni^Z;X9 z&A?0p)N6`Za!xNMR`;iQSf*yqrE*zxzp4+hc26tpOIx*oy@r*3CyITqZX86So!nkK z^$(jQ{f?l+_Kn8K!soqAV5vc2V?ssSSJR(Z^e*N=9n6Hd$3Pyl3`9SR{c2|;Ix5t| z1B+!AmIUbK2qBaE9xv&=!QnO(gKkr_Nc4GvaTa}~a*pz5|6imKSn-ULTB`hB-AR`D zGh!9rJ2Mm^*qhN+e5Cm=mDPY|R@f<5z%Hn1k`n@W`qkBbW78Cvnq5xgCAPm)Wqy=3 zbZtYJ>vKkcQRQY%j8nW$mTkPSXBCPh z%i^ueNXtLCPau->rBwR)o}o(Pk!HLWKAGxYf|!ft1N!Q}90_?Xs0BuqH^N zEf52CGWaM@Ys+yi-U1WmY#k#?xr83yZXw@)LJnix?Y<8!rm*Y7J5q1es@p92JO5z1 zx3DB>l$eiUD!^XXeP58LjO|YZ;-N+a>qTCT;q?0aQ}hs{+tMo!n^!xBiV1Rs^a9C<{hXj2A+tW|Ac09e zc8J)1Ilw=%1qBr+0k&pfvs&Dy2xmSw5`jP-9M>qQTAfOzn`z)t*` z%6v-MP}cU^C!QXbAMVPQy||WTj^xVJWPcQWu6+r-8NU`9dkHWY*ZaY@QpL@k!%h#d ziCV^7-D~*6JcII8Dp(~0LdQt<0fn?XeibqSXN!U>FCMd`PDkaQtJ$ULqtlaOA8p3y z3kI6_mR^_SjiHA1X`>$heMs<719jR0n$S!>e=;rh9~}Ygd8oKK!FcB+gS*<{$I=`% zPy+be1SnA<`Ra@c^S}PpPkellnHPqEj$r%m@WDAg3Vooa?e`_dPCb|c_7%DuvKlk# zs$22A`RiE)a;jE@ufwC5oO+1#e`zJ?9|A+C#AF`ifxa8@MtZfin(yT+jEZ zz)vYh?bQEmXUh`E$%5c$GCV_E9^*P|YW;e$MY^AwOL(6gFq$JrK56V{qW?=k-!N+q zqSu!;fw}>yq4Tm~Gb#u(E;4?qt2|UgbgnsQGX2uv!4D)84qOWcCs`aNldxEh7xPy- zV`;OLN`wA*3En_ts6Rwx7DK+I_Ag0-c@Ba9RYm_v0fOpDIKYDwGP!QXV>7CE$gNqF zyh;Eq0-k=Z9U`Z5@2}WBtFFoOr{)NG`|$zpj(n|;S~tE{;|CU%D~_7A{o8{9ATA4n zLBp!n3>eFkSW+qe@OQ>y)1}_1&Snl-StPOz6>Bl>9m}M=`!aQ)UJ{O$__oyEECCbB zeeHGLI3FE}2nxllY;-)WZ-R|=&+oU*IsTJ&1~Y|ZCKkVH^Wa=Dnh^aq8QK^s@|GO1 zb>0jWcoD>fLtggh4`t2D7k|!Ki0nDR)yNKMQt#pjFX&2 z)vV--ZgDoGm{jfJdy8L-4$Wb@M(k?~t7Oe~>?-JL=CSaI zRoAYzd=hmnnMiP)L{lhXQ~3X);}>S`amuuaVLjP$lJ$MK+b?YkljOAc_Swr{^NCa4wjB@)Vf9 z9#P8m8{;78vBW_jC@)WugLO*WMlCC1@^T7x4654@s-U-f zBxUUUrJB%P5O*#1(J$@|bSF$?Bwi5ARjZ$jSl06&7uEFE5 z){q5`u2I;K-s^1iGI?Zn*}v!DJSd~33SK5MWcLzZmL!K|*AUk)`AT;BX3%Qd>5cQb zx`gr+A6#b~F4Cd5(xsRD^ilAY4t-1VCLjNYJ??CnD;eG{35=>kN|z^crY3b_{~RYY z_HC{?LOpvnZ2G68%1-5-3@3~qfDb6F!NxE?AK?>>o7l?`##rW|ybdSI=4YD1Xrb3F z%WUNkW0Z2m$q#pl?zsM1=Fk9JS^`d4>J=+Z#7>{+7`{>XxYwgIZ0+WbX*?c2TX_CY z)e7bxfW#C^QL|SPAup>s0(M7w|L@peV#l}!-uydi0ex3X5{2rDSC9ym8%;YeuHZ*rm680@2o*jQ2 z!=|-}X6!bRZI@F;dz`kHn%VT=J9ww)8c|a1?f;+Jg&u_yD# zOv8iCbXrD=;gIOC$Zzk=^tps|PEu1T7~>@OAkOjmp5lnExElXE>fM9Cv*6>yGY@;W z)ANW}_C5265BaH5q?DdQq`!%KC?N?q73&B(eaWSL2vh!8xbD{{2W?CI7nB;<7!(QU zdvX=+lbC3a{M*SFJ<9IC9t{2Q0t|ndCL47#+G@n#hIVr|ozVnZK_If)4ScEDUpR!v z)K%>{WOMD;NEDgkn)5yE5c+H@N@I(;qx3EnXNwYftnXtJqa_lBRsS0PV$+L6A^+Pm zq=(xA?ilvN`xPIMq?`e3?8EZ@*K3}d-@hrlxzT+geFTr%jPoJv`BupP2%A>@6?Ml7 z>Q$Md*-@hHMAA%i-I~wim%N$I^yXSbu-9T- z%8&j<#s4dl0^A_I7Jqr4I*4$o>DJ+4Z=}(eMJe~l2)Yv)=HId@6&tfT%=QtPzh=l- zc*}|eQ+{#i+^(e8Lc(4c^Y5tWS(;H(zt3$%8K%;!6|NY3_q6eEz@$-3TjT#;{RZAW zBh?aY=SQ%nA4Evoqpn}tV}cjfeP4uWa)K&#=>gP+6uR}ZB%EV{xJi!NYBAtn>O+yvWQ96%hwNO2Y-k^$&|CE2WoYqom?840|hB z5T9F^q-3a!udg3|NuH>Rg>|b6^P>4UweZMs_mRc|dD$XgJF+}duHue!f+>efvNz!M zivQ3g9@D2P&=2SWY76DOR?^OY%{eT8U&7u`e>LZTdPDNupUFvwa!MA z_y371Eew6xC)hs1L=_`9qcrXBuhB%zZ))hiHXaBK9s12~8wO~79e6pLIOFfj^rYE1 z5gkHk%_^ffUcOM_a{9W!q*`ehjJQASBzbF_PBn8aJR!86A7b3~{<|5S`?+M}(B!+Q z1}EfZ6Q5+V+g$g{sV{S;X5-ZVb1fJ-a4oIa6=%RQEtMrlYDWDZVe#*9Hn7-7jo(3U zQp-Se4z&Ec+vu8-%r2J9=*2e`M?Mqgg4fI0O;;QJnV4h>i+`xPHQX;>Ye|{VVl1O> z>{jrFRPpKXp!smq%+G4C!XI9oyi@qjE?B1VcVMJ%B5k~aLN5P}h+xFv-;=;sEWp2? zSC%wkd{$F%xQOKGYHss^WOo0qt=w7gzuY3C<+AR*Ja@`F-?k{&T8}TZ?xn!dWMpEK zn?Rd$VJlI-Rl1!~6qfOSEQ!GQ>$lw+j9S4j4J|%sSEOTrjlYtJ@Zl6VGxVm+aA2LI z3<`SWc@SZIJnkViS|!e5XPhL_hr<)oy*ot7&Vxkie~nA*0jC6cTr(kduRTaTuOLl zG3S>{&GdmT*l*OcnD;)1sy3Gp$KRL|CYE{{e(GK`zVg4`Se6dRFG{i*U0~HSloQU9 zeC&=FFG9q8NG#w5KNZMfA$X4R9{+v3>$2j1c?qMO;yAt7^+z6D$ED;{v-w@5P|)VD z_m!&o&LNee-6-YN6+R3j2m_2D9#51|8K8(6WMWI^G-Gex5ASfHG7I)ja_C9XRxVDf z73bTq16fcO|Nlty058srUWG64QH0NnpGTid23bvcyGCzB_K!fUaW{=%8a9L58CT3E z3mfwoSm_~{E~Egw7VILXEEbs~FQd7;+k%jUac6yO|J~HPA}nM;JQ)je!5aXU4TzH+ z5J|5i2F^@vj+#Gob;mm%e=)Q<3LW)u<|?>bYxMn9l8KZ;rI|*w$z~-r>t*J0&D{?v{7=bbrm| zUh(YfHn(2mkREZ?MUQ_v?6=ufbJHb6P0rTnpNM>ttFmsHk*Z&4)TFCdq2=ZTQR!W& zuI1ZxA~z<1tUB)!0LpMuCS?norvC~IT3_4c4{a3!rOzvaw=m6eSyUDrN;A-3+vtx`zs@chx!q9oNxYLgZvE!np@I4tkJ-sxSt zmh4)2vt!!!w^ohfmv@vp&5&tuc-ate@w&;|ZtNMHAvVeCxcz}0p@#$H=H)D1}_^8F7|zD-XYH_Xk)V7 z>Cj9;#jh3~)-9c76W$;D%cV8hDe3t>NSFPY2XJ|B-+~{8pd@v|obj!~dfUJ&-JhiM ze*K7zn^GeiU)r&(aP5(1{vL;o7d+!!q|Lxv(LwDJl!`%hf!!3&-gyuHg(pwrcX92W z^}=*gP>1i)&RGvadosSHu0SUf46R(5N_?LrGNKc>Bx~C#CjWU`*U3^BtJcyt%ywv`eyZ<^$K*Q!SO zRdC+RXbO3GXfNlgrVQw{5h3&HLq%X1Dmz61jo=yNC!F)L zosWCodHvfsGk(^&rHfKDSvsqHr3&NOZ*F4g{~Bhh8x^sZ+WH>=RCDYrR!JRXM zx!#xeA1kbG>NwS%d2!LPU*W7>%W_vrtZbIZbUCtwt^X>+`A-KM4nP`Q3qYq%OgS4= zxBwX5g{lm;NkKb9mSkKxBJu3wqAuZDfAb8X%cqYlseHK6EjVP(3#4p<*eL{QS3}4~ z2~Y$cR4VR*Bnc=9+|~;`rX_W$g&(*L4%5-W2rP6Zbc~h*3teyuf{>#|j|K=dopdlZ a{%3BkKD3Qfq~j0+5O})!xvX3AR#46mxNN%^`8TJuio$b zex8|U&YYRE&)O^A^{%z|5U!#mjfO&m0tE$yCMzSM1_cF63k3zeh=c%~Q5uznhJr$s zwGbCqkrfw*s5sg^v#>UUf|3bO)<)D(AHd6cqV^CDNkT;Kn<7R$mWUh@liyGBFgY2R zAS@Fxm8!f*lnOnGx4C7IhzA%|M%s8iKOW=Vqi5JQ?x<)+hIam}-RgQU+~Rx9dpN?o z@sSA@s^t|+@_KeU)T-QpDO<<&8wc3|Ml~9d#aQS}KVkz&s$*_$Cv=Vf;llSh#c%h% zrw6KSzrMPetO+7-fP$h#S?0`n8h3AB6l#y!Un2z(N)^TZu*6-BN*}E%1{DFxAsOp= zv3(*|QORDi(Cc~v=5A#uNZH|8H7XQmaLeO3M^gN0Lk|OVP`srrG@zQQ^SQT~12ra{-kdaa< zjpNOi#GL^nxi|Os5oI4sPY*cm+DM-pRe;}*H>~DDc%nx~=z+H*4@^vic z0c$L#F(A#Iha`PwghE#SKIg?8Va= zCpGAZFk;IFTxp)`STr)y7B2WcukeDn?no5A#2<^TTsP|tF18F7#N4}B4s9@;BS)t3 z5s{`O!xxH+RKdY0{_ub%l5)R_o^(2K{j9IJclpJ5X0ea&SA!(%H><;tn8b~~`%%Lq zfsyJ3vG}rwxyu?3%WJxqqqLd=r}`N8>mg8Y{b1g6vJ#p?J6LIZ<6jnSA;Wkv?z;8iGU#ZzV^@dw(ojX*+Hqg`8x*Us;|2E9C6uEJ)l6DiGlHI2V-Dy1 zkXIqw*%8%K!c)??RC&B*S+Oa)EC;=LfTYJdDT zPfnnIIqPS6z5i$9^W}jMKJn?H6Na)k`Cm(VOFnHzma-^wGAX-rIMT=$4R#ZzxijAP zG6~ZW2yb_Q8~i-*85e5pLi)(f6MODNU-Tu@Lc>`b?4oybUEN8)EAvktsEe;l6ia)q zA4AX#m@J_(g&9@)4>U5!OSqEF!{)(uTn~K#&!J#-4Y& zFvF^MD6pdA_+z~#c>}#>h&_W++HU)nY$A}_9xD?*wH?BNBKXKd!J9Snn@}0kM^Y)MGArQ450CsCXnujC{W>G${~M24n=yt*fJsN zCQXTzCSjG!-;AFarrS-}P1TLoE!d6S{b#AE4MNj{}U zxh;q{q%2;s|KlpekzH4enKCuOH6b>>GU0W+usSDQ3XZZIrKC)nlCIQeDU1B4h0ZEM z>b1pF8g`Z>T#NJ1)n{V~3A!>n%#a8U3BM3LCwRao@xbaqmQspR_($7UTCZ&NZ1nKw z;N~nEaT}#wzN8U+iWo3iXH8{0;jm*DM&lsrC8Q>L@22zpZCTg+Hrn*zC+tn!?eAkv zIVZBO3&@IJm$!+v>EEkfLOaFHc=cuUElDc!hCgvbQgaUy*=Xh}t-DlDbdv+HkX)=M9M#;WlU4 zmx)o%ZVjWxo|?&@@6u{@n{{(OlfJuH*Km68-gstt`0UX39(H6E9tV>pqtCm1ooXfy zrs>C7@4W2HY?94uM@#3o8fvq+MjG22d(X4bhI^-3duk1!i38{2snd4WZMIytFTDcCj}F&8?e=X?jL!1Ut&c5ExQ^B?w9bVNI8Lz7ZB9IU ztJX{%UO4EV^Pde~qMx;GcsM?HP=+&v?tt!rF881H-}hhhM-LbZU=OeiXbjW~d=B>- z>0wY%@EfFt9*$*Xx5?%oDkr15IYnI)UB+D>x=4e+1P^u+_vM<1_f-&ivUIYGVX2ZK zle@>4k?%_DN-Ku*VJSw%L{xuzi(;3-Qb8YDtbx0Y^a=*vtx? zFJE%(f1^C7yv~O$37Y7hcvWI>8hOeq`1%5;HU(KbMjC@*PcTW=6WFPA=0xN@kX| zfcxy~qmq^ynOUJ8rw{3LbJeV$U+|K@hS>Fg@+UiILLu%^jtD&yI>S99E2LHsWL30E zH+?+l+_V{4B+P(Be`>A zg1ggVMV-mPb{jMw?VcLe82$+86NbOhP|sJTWN54%wOT5aJSE@Ho$ATMuY7V@uA}2s z)m@TbvpR^?kq{{yd)~0KF<-DL|0K16=}UcP{nP5pb(95MO@>-6yfVznd+Yp=~oxF&Uf`2)w(L3ij>EIttmwuk>vbtzX)bYKyMT zhib(&cN7q!bbAM(|Wm~1m4Bbh2K>w|F)k&;($%X9?^e+oue%{%~*=rp~ zp#-53+i{JXE^|j|N8iz8(QHD+(Yd)jxJdby-AttuE!2Bd=kf+)RAZTVraYS$-A0f% z!z&UAX~?*hEn7V;zm{wl#Bd1a`R=Q$!Qn!2kydjv%z`$p6J@{`?g&RS1aLj) zhXIRw-p#YVC#iMAf~tb(^J}dam#wFP*P*4cJFy!=R6ZWZ?pyfdsnwP54T#%p zzI>F64-_a>PN-!8C_ay$hQu?2N8kCArGh*IhcOL4IeuzyW1GzS8CoBj z<*zmgk1BX`k6$N{Ni{zLC@P>L%yeX*DJnwI1II{EaL`0h@W2uHi4ZjLKgUwgv{10O z=V73rLM@=+etky?cm@CBfG2p(-79QD2oxgl4hwj?WyAdbHY{y6?C)dfMc^|iQFU=y zS>RRO#L>*m*2&z?*(j%<6*z%xFQe-O1%*ciKA~mRDEENzrz|vdoOKix_)P34pPL~0?Kk*$&Q^ltI*KX~aXUvd z$RlP}W>#_`6bJ+&;Ar}cPfbGV*X6)FL2`3vXL~*t7FSnSW>*eoJICiNY`na@EUfG- z?CeayH<+BzfKKfvlxKp6}Lz5-8UgVb-P$WTxsP_h!D8g9@# zEf=op(>*(Fj;ypc2?;PM35IWR#LOAj`%>O`1~Xl{I<%^w!WmAsf>Z z{<_d8ee!Lr&NlXm-pX;yE6fC(prH7;AbF~sQl3m4#JADI6a+(qy?(C=ogIhg9A^{A*kh7*3Vb2M}ni zKOg-Bz*+WZv@;lgorXXY(O%yFuf(XpSwapRYoxy>5(kBbf`T}E>eh*?VmtL(eVPDlSn4q1VpvV1SYmUpX~r+M0$~>A+{}a|MKDSd8>z}v%0uM z3v~~x(ubwX8Tv0esebh6(Y7F{3TO21KxZ=uM9G35()t|!(KBUY4X}R(e;$cZ|U0Az_Bz| z-Sxn+bRhmOdrfhA!-%M^Sd~2XFG;h|SKOgIXYi$5bM^6>xlBHtOz>mz_r`9lu_}~S z83f~NFEyC;eBT3iXjzQ26phQO_sFpA@#`)fy6^}6g1>B?9}gImvva)wG&BSg zhHYd3>P-wO0qt~ETTF|k;si#xAQo>O5o1-TrTSC{t8OU%lt~+jr-vF=&WDjZPhtd} zqGxpFxhyya8k})fV#Zqup8%ur(3aLha<{n&5#6Cega}(zy@)MUi7Y>VwNODpI@L#) z!nab0oC851OJ=1X4muT{1SF+gp2Nwdi?t!dd&r4Bqt{fF=JlE(mxe|j)?xm{N-zQe zz2*!@(==oIDc0Qxa^MKaT3JcABPatSY$GU5;yJ7#L?yl4Fs;&0?5kCZPI^gW#uSyP zg)Ttn7X7(}R643M@z#+jGk_VGVy~UuYC#rmf}jCbew7|I@rA(8Gv^Umdvlo(Pmk{C zAhXZuT+1w#7_lQXDbJr#Vbfs5LB*g6deLIiP`+Pa>6v8c)_y8rC2x|IL?mG0AD^qA zlAQ81Y|%`c9pCcP|^fR5%DJGPS(v{{T7-}lKURf*G?PxD>qlMSoaYM zHs@T;%(m6lbRN^sizUCmX%_spoygDg;?yG+PFmVjSF!w!=Oz`MLEZI6V4$fC!zxaP?BA|mE{dAC@Hh^n_VoNWY> zx);6=DWBuX2Rzgy{Sf3z`wyCL!2tq|wxV_=i~c4)aWv~` zphGV1GS}SRPo`vq2z}{$T%|09q`d=&qq%QF&2lS;Q6XLTzTOQZ0|^Jfj}ntwSrQC` z0Z8^{p!B}V_krCg9-qQv$`{cZ#I##*-+^dWD*6)c7PL71S{7!q37qDAb6M|8i!pJ->zY8A#4cQvYs_5u)u*cCe+YA2)uL%gB zAHg^x4+@WrRUbOy(jn3S)3u6sNlh^$yd^lMUNkE*W@Y|ToAA00VT6cAkZ$sv{GXd+ z0yn3F8T0j zpeC8JK?O|09}f9v2P-dPmxLg#Yt?i>^gEkPc9j~Dl@GG81-KWFiD=)UAsSHJO&1He zqb$t8r(0aDMq(TiIWx$0QMo=~F)N=E)zznJmEOumP2;0o0G|FG4@-(GQx$j3A0!Ps zaHS#0J$>nh@yp*q#be22h1~f&uxZrH%fMU5g7knIC16!n2IqN?3Zqiy zdR;g(F7f7g;X`*I;`qUaFS83vEA61AwrmGG7oE>MLgmwVh6NuA*i>d&N}Plby;2sl zwel(4HkW7FeFC4%nIl%oU_)8%03kmJ0E8sNHQ8H8bAZ_|By4p#$j>}qxYkBSMH?t| zJ?T$hxaQLmh7q}2Z@><#Q!!acTNq4hJ0m7+@qS{Nn zs*-2M)6=H5#Hwq4HTV@%v%$pbbM3Z-@ky(7>pUV_#t9x8@>bb9tHXd+he|G@1g+kK z@v=R1Ql=pSRliMKFp0Q-o$E=C)KS#a^JS-oFOyW5h&fO8!Z@!ZeWCX~-;L!II~-(J zD%-y1qtbir#TfsVg80U??#OY9;Yg#olvU#7sKjp$sIpz z$EL|UvXOVI4Rv&cUgM;sQe;|j)zD;^9g$tieVD4iX3?+1Ksc^fY@xAi)mSDW-s^ie zQ`xI;Fpc<6bmD^0Kt6bQ2Mx$yLya6UL&CL^+WfCrKZX{q=M=r5z%&UfrYYFn(M^rV3gfmzNL%>oO88mHSJd6C2%zX%~KMpOmh6B=UyRr@Rbd2#ZwX-?(nKBK%_4r z!v%G?VG`hyetG_rwv?NWmWfM}L~t)_sJ7%muF+F2w{c@soO{Wuk~M}D|4fMsoD%iW zAs7uJ0dN|j?1l5#J71!7=5e_mYe-aPC23e&W)>sqM`Ipk)rfhj75T12Hw+VzbpHna z1Q7uEu^X3Xv&DqGl9Qu9x0m#^>zePFXp5^WF(E&)%po@m8}0jJ#Fczf7EZ&; z9KBMl93E1PUmPkw6O2QOb$D>9h7NEOR*v`~1BwK+!bS_B-t2;OmM_2I9cE4}2h$k7 zoG@yG@eFw(dA4_Rhku(70f!LGbjQ7Qh?jna_*0x+u&fFmhS^VF|B&riIQ{fZ(YbC^ zF*Oj+Mvg z4JxXi$;XM&>m*>R5;peadbXz$C;|UdUtq#2cQYt*ZyBZe9kiz+jlxK{*e`E=ivx_x z2=Ahw2!;(71Q-=Hw5yk=flq+(Rf{+K;(l0Vg;I065P?*v?K=w%V~g-3By^#bzC4(| zGPY_ImMKGn=o7j9%q;AJ{yUu;(g9Gbi?Y>B4I(dNfC!XDaA*j^+WIU0@$g0(*kGUi z+M0+rZ`cT1IWM%4q@)OJ0YW4hjm6FRa0$`G7_qkiz{P_Am=YAUbw5Ce>=#(F?`Yg8eakBfeA75edr)0G3G<=gD4RZp8)TIpA;w%3Hxb97rt zJK4vayVKznxQ9D&-C60eTj~n(E0w2yp2(qX@Jegw{gQUv04Q5dB3I$@&*58n%mqlVT~8wIhy@^$J+wOP$~{;?zR2u;y!a#Xi~XYEQ86+d@7nN)=ke|4 zJgPp_VEwCx$DkTgge#Rmr*^=$H&Q9S?%v#r3s0npn$9yH@igYPdlDBy=~ezDV8NFm zp1);TSKp?y+lxs#vgn!SSDPjOyBPZq$DqUx`+1VK_lA|-t>jvws}aRu&H^<`=PJ>S znb#%Dif3fbhk%-ABxc$^tJh8FqX`(-VA?1EgA9j7`Bt6*^2LaKFE3YxiT0P9XT^G> zl3(MEkQW;LRVtOzPWSWOvV~QdB3j(<9iWOc+Nm#5Ud(b4y_7&_5VcR%oiJe;f+v9{}gusz1Z9n3S& zn`wp5j1C3i9E3kdkg+o>XWiO40jMp!<y;aiNc1NSyD= z6u;A>RwCghY`SbZ36K8Snc~5ZRbr4!N{C~PN_wG2exjmmrq?n^|KI5Ot8%fK(z#EN$C$WY5$Wr-XXiNivKZNK2kC*1M_3 zw=M>!_B6fsQQcSz{gt{6!Tthc2&wQbOSOPtw2lSVbPB)3=_2~Lrq`tJRcx@Vr&m{8 zCLMx6_4SiY_d(8kj^&bKKONGnwCLfnnx05Leqn`M3L*j%4%EI01l&Fmpk36IMeZ?( z*)2b9h4|;aj=UErW|cLgIJ`VJN}KgzEz&YjD>)YRewb6MV!#3k=Kfj!w^vujR!h?5 z^p%7yzsqTnbkGnS_WHM_(=xSR>8>rUDScnr%Q-Z~u$$;PjCbNB2C8%^3uGrH&jeLQ zVx#mwo;k5!f9@kM)-b3)RII9d-+5XR@$6^%QJ`1+t-}DaNdwl{nmHH(_4k$*#uftk zv6oHvk>GUet#1 zQR>Efmd7gzNxl2Gm?{F}4vI66#>)>VGL8wZv(8THowX?Ct`c0X?)xm?p0L%#&!L36 zosjes4NZy(tJE1ZMb#>=1k@bU_h}pCx9q)N4~T9@SL@FlfJlrq*%rZp24t9Akme&a z>hiZO7WYuYR;TD3$YRnS)8@oDVF~z5m@7vdx7yXvrl720m%K|@+xhHuH=_ay5m>X$ znZpmDdRY0PO@BB(2wUOjr?fxCcBmb{kmv6X?TpGwt~E|(%(!w2ZzU?zSg1(e5*AB# z*C_S%tURqzyQ+qxpQM?+?{jN8z#jl^fYOF=>##;}Pfb5LN=qvqSG40JMk99J{P3YL ztc!?{wB~PMnsV;#|F-s2fDCsqHbw?|>rHW;)Df+guDfGp-@9M6T{{Wjw?ojOcHsMV zH4J+r$SszM`1fM>Myl3qfTghpdIGtk%<1DgxV9TDa#xR@cg?dw$!CwV@RWy33)K`l%(IBLeGudjKwx4UdVpXsQdj3m|(P{T0 zneHm5eqK=bwlbd|0=nO!27t`e%XNqVl|zuQmhO8xKRe^n6K;&HNjhxdEFAQoG^LVN z+;-tpPpbszT7>T4573Jos362!1+l?p!;f`_BYh_lc7x)>F&BN`7B*Uew_j0$T~@F0k#4L!aEjoA{DKG|IYX(k>$Rf;-|H7~CIb2ei-=U2Kj7H0QXUzl! zkrw>;YksUP>(p@UzNK1Pyqh21#uP1Y3+5x8Cn!|WKPC@i2^<%cL@(=U$DT7N_J6C@ z6qp<+Z%Z)s5_oWju`ysDj{B6VShs0xrcGuf!TXUbqfBy&d1DOJsBQ%T=UV- zAok_q?ijcc;_hsJ`i!a{d58MS05S}G@_$|jKpA_i$f*?iILeKo8tN1HU{<85Nc1C_ z=CbYa*_r;)>>$s^XdR)67g7SaxEO<7iSMd-&FEr2&5G(r-Hnw8j`eNHXa(@og8)A~ zxuE&(1}{+YPgn+qb#ht=u`?lsd%4-KT#`dr)ScD`P8(tZ3ZM@{mhq7b*7d`V+ z^p-r~(-~98d&Zy%MPSarE{IPwww* z7oWaZ+Mu(0@NSF@oIWRu%&zuc`pDfgKZ{~gLZ3dy(89Dl35W$s76yoP9sGhRU4(`gs!IHcOwDb~4GONEOe!9hDa=Ozrbm(gy4 zI>GPhFISHvp8s-uXTb5xltV4L6-QXnj{4`n>)0b03Fq%w;2X>iy_(e21nTd5W0~5g|2{ta{gr@ z5{_CGu?HKJZkNSlSvcRl7tB=|aX%F0F%M?0p57ARI1y&hPb2d_2m!!giufPoa{LRq zp3M4m(|@V6GP{UXF(Xa>zA(=qRBqkIh?e|4_5DdR->sLnV}bo#iA8r^P+0r;2ZIkD zaD8rqF(Bb2MZRgeh=%Bu^+(#UFi|S{Mgh5}=TNok@>>{AHglwht46GGax#m}g`3OW zOfxBgOhFTx{0e~Vegqh1>dR7Lheke??ERp9Ih^nABNHN+ldh&=y%hhUV57e%*dxPd z#CMsyItuUwMq<`S03Cq1B1xQIC|DW|FBY6*qixfBxfHQMvG?$(&Z>WJ4tX*EJ=7@R z#Sb^M@76=FIt-QXyy?%jKBNt)-dF&8;Q; zL@n*{I@1^tQwmMq>|ig*k^l{J1JL>hT;L_jIUkY{|BOKxtaqLA==d4Mt;m=>k~ss$(` z#1^J%M~81o*cpmVqd%tBDt3l%iDkHbM~AiWD^mBt0~_}1%~0}m8`OvTtv1RL&n2UE zdZ-*+Um^aYaqV7UmXHqHy)9`Ikc+v=$9<*6UVUeGSmtTQ=viK9QMS&E>xT^+%paH zP!WBa)8NWBGZfBe?9ukS<>oyX+r@5VB(Yk}zDs5r&6Ojo&)(VGU9Kwyph5~7K?aBl zS8$!&9&uWyh>6BC^t9b@zAdLJ2Hj1K%z6CyghWa9%5|87p|c;uigIC$-Q9d1J$kMn zw;F}e-+Pw@yFrBc-F2h%_rnwV1Gcbzn%pz~xKi!+4N1sC}|(|=^wd@V=w!faCfg` z^l58Etevp9V{cgdy(c4V$voUJy?hrdNgbf}i*wbNf}HCR&g-_=1O!YzJgX^ztU1QBi6=?jOxcp|R-XPMg} zpmY2?S)f5D&JPzkJsvj4V+>oJ3m4(MH+5J^5bu?q9+xyY)GvlG)?8Fdl%wC&ZEGG8 zvG%TeR1O6->uxCwvI$lm59pL{v*bH$`--Oti__8)G^g|D2#H!V^EL3;mpi2t{}*&U zH-3=%IW(y9&RtExl{!KmT5Di^LnH=MWSx21pQrV%l+=hI z46e=-rn@L!4x?@am%Bf>VVugzS>C_Wdob-h@E7l@FXooHBh~3u9ah69hOD(oYU|}*8m)X#nPU)r#y_*edk4+AK-Sjf6wA6zj_Y9k$O+Icg>TP2h%7hG4SU-*Vo>Ez zr_h2tTt0Ni()7SygN${<9G%KOrTnMg z02=ZhTyGZ`P9TU`YxDVoAg0>?;uggGS%&?swOL#L1hH3tgIM13?^+uJAmdb00iK|! zGVIVt%>NdSq1rh*|5T3njyd{a9$`Q$WU-1x(FSL?(PP5ZLQJZ%e7WRf#W}Mqsn6X4 zlng`^m@pPxU+gV;_5v{MDTrY^cNq5ZMh@K;ZHu_9$zVA-j@!(qRoG%)~QA8&W| z+@2hIr*6S_J#D(uI@HP5@4)$Rvgr!=OgNqw}xjb-vz2Q4=QG+fewNK_Pc{L;j ztho-|4f0?a!<@V7@$s+fvHZ4r#P_JM=JS!7Vh>vv)SN^*nx%RnuCBrOIxj@`Q8ebA zJwJoJ+ecAYUjQtN(}c@pNTobI!W=_xs%!1Y$9>Oj(-9XiBcgC-vFZor3ht&6 z(dM2<3XB;BRl3OUUD#1M7HJC%mMOl>s9dwypLp}3S=1yF^kAR_i2?i~iWuur7~mIA zkU>J`miTN>?J7LP1-G^Flfvj>56@Ut#BYW_m=7C2TKv=OTI&RB8N(HFddrTTY?YJL^m@V#qY5-30*@q?*bjk_nDuD!e9RSeqq;COjIa`P7H=wzJyG3H5yHY_HyJcmXd=EiDQ|i~h z1+<4O!(BU?tW$pi+VFn>ZS5DJoq^4c>u6q2u-Rb>tPzC$T!>eB-lUMpbDu@D>eO`? zn|L#r=?HJtdIurje95a38S0pSgrFEw)Rh(%eM0GT46#NjUDgr zvTuGGU_VaSjWu9M$G^+TmwuJ_WLv&&+S6p)Z+F&(d5jV zW)beuzH{3HaIr<;2IlPr5CY-Y_OQ?np@@nOz3tkeJ!}vn{rm$q#Lz`KuMP^B zkx6)Ii4N8RPb9>fqe4r_+XNNDeGgA%Z=>D@5YN%m>oY$P^*C5zsAyqY(XOn}u8p%j z^p%{XI87E#oKC4`1$$ecowm}5Ucu~7iRK-CJ#L=$ceIDIe*1~at5IX;A0 z`of*3TM9{VrGXh^)EsFumN?*@7?yN3lS<+E8_bl&ZO5YAVQvMX0tK<){EQC>QiJsm zD_i`RmDx|7y%fUu(Z!~Ik7~j}DWETw=)3IL{7E!k&p2zn*Bfk(2N=Ef^;ZP48XutE_9Je&XF|NDP*{twY``|w-_0spZ)wmL9#=C z$6mey*fTU7x(m8rI}1{Mztq2AhVBP~8PqM9`R=DR`-pyG`wPsl^X92Fb4UJteo zE%q4?t0Xo+wCKc0)2BPy-7tB+%MXG>c6px!6C_vixRyUh(w_fB(Oz znF*tE47TCPop&ySi+QAS0=F9pP@&D~vWrH4V_C{ySk`ZGALg;SIpa2=`k-Mu^H{mWup)rT0Zegs0+3ZoNJ8x&b z)1N&tjz4?)L!Kz4x9uIuxC_95tJehYLIJ;(CC@Iq`L`ohwPnC~J$KP9K z;xoSG-{`0t(AUaYtJ=K1r7B#AOxW^1qA2~yWF4`e;ugnFK&4-?Jwpd^Ou|q~(iy-p zF}*t+OJI)2FGBvmaE#@AMClI4h7- zi@;NJEK1+WEAzGo428V<2(WE~VCxRhUKGLlo0x4z+_a*l-zE||d_)K08 zi^oxgb9E4LH$23RFjfOzQ0*S#2j$y&{{UN){3Zigz`Oh~5mR%K8p~#-;#U+})1_;4w0-@eu&@Yhj{Ova*S{|6~s*U^6VzmAoJ{T~#2{TGTQaX&0#S>(wjY!UnZoXY+ig+^K|WNuG? zzgFbSyEmLbPqGO5trLjWA~5d&w!uz}+j_h923aI;O5*3Utab$#Dz$!I0p(?YEm&SE zDn&lb-pq&}8*FeBqE8`v5Dznvth$@DrTV7&peOUy>tFSy8aQL;#Tjd0#uM1~Y(`pF z;h!e`VWMeLNveGqWd4-k5?$RZ= zh;KUWR#gkgX+e2gVM_m5Vfq(3BsBZKT=qiC+yxog2EfRiOb(bkf6+}-G{B>DIW(+k z0gv)Pt~b^?ZsVus^UrFiHprMSTs@uq-dnpUytTpPl`v%mf)Ag#O`Um>?gUy5nQ#*#y*ge9XTYL`A!h^ap^_!ZJh{o061X zqCdbG+ff7i`q=Ag&r%~YOqvlp37r4HvG<&R;#jvQHL3KSnqWa3Yll?d1JpD?m0foB z2aZMjfn$fduPGYZkF2+<{z5Xle~|210($22+xXvmN#Jf|Y!Dh3 zF=3X71!Wj617+E)adC_Tnt_$cktIF7lm7Ti4zO|x#QL%M$oNd<3*o+o2CytLGTHmA z&{>JvJnJ?evV$}Sl??JI76`{^xEg!NPwJ0r_po@*8|q)Oei{DKZEK0Q8zQx@!K`dz za6CE+DQ0_En0AK^lyLPSm`!-T?XUwG+yp7RwBfG4oO$ z^x~z1OA`Ly3QPwbpukK{y7zlAFbymUsbiH8>d>}_a?ufE7gvR%ya`ygwi|OkzIWRf z);pY_%z<~Car?G?z9ZZJm7-oSm{2W=!?I29)4@rS2bnBLWE)v9H9j3UJ+$aSX_fHA}c#e?hx4!qzgZcsifJ zsnKz#tcoRYR{{;s`*gpqwK4=14Nqk8{pwxGEAy-5&A%;qQ=1*!C;SL?C;nbD6+r6| zIDcentL<(u^tH-pu=+LN7dvEKH9tjKs7zQz5Z>+v_N_7>i=TR;B1Cv7{`B@9!du3@ zx2tB74~HNJkBVJxsS+t0f?%DrXeSs#jLgXOdpC)5z)raxt3~j4#V4$y&mP1$$3$P) z4^4<6yJRLV?&nE)s@0r$=Sfy^4#l{bkMoi=PnjU?wVo2NdZoer+Bmg-Kxa&ps7gR# zne?-ZXS3(f(@iL91A52EfM71Xf_kZ(Fr&3-K7NLco{c%wNG@ zp+3GXW!wvx{;z9%7=5lUWES^mmMy6cQ(uIk2NMc1SoP44ElSv0Q2g)6ey`>h*=?ei zf@KV;q37|RA1oSB#-RW7$#JWQ9kH8=UtMwfOd| z0{&b%xgYKE4qQ307^UUL(jkIrW?@Ei)#qvhtGvqnn5Mca++64(Y!6o5`j{)19Zjp; z5Sbm!6Xc=?#R&2{IiI3jSQVz0f{$ic`m(Z;EZ&}SGQmAn@YD2Nc6P}YSwVg$XK=SZ zyw}1RTT>H+pQZ%)&w9&`yY-gIpIxV!aN}Zt$JQ9GOUkqZw4jrv^9`Iag9Nux_$6Fd zKDwv3qU2s%3`-Ce=EYmc_+VRO_-OefQ8$;e^J>pzP7PKu^6FSa`WTmw;;E5Id2=UqD57@ zhl~Fg-?m^}zmZ3F%W_5lZN9ijMj3|(*nB*I*OM7*P|gun(KfQ)5mriW$f;VVa$tqF zI3C!L|0dW0V6-&wm26GZD`ERbtC;O|L<cZ1`Yidn5yN z8f3I=Ic^pLat>hcQMX?#2gL8gQoc0@B*2Sity9YG?SC-zxx#pSDkfCu^$*@O0^-Cf ze%Ef%9-F4OB3}KrtChtVUn;9l3~b|7WW>h4)P`vm z%1&ACp;msz%}-^so~iP;%0H#~&Kb&Yrb9zKO7IJyeXTq7#et19BBe;*w!HFhVuJX- zm@RiZy!n71>3bqn6|X-tKIuO7MF#i$bR=@&;l>9uWYUZA390>xGHLI0YSW*$TaNZ$ zhe{^^+dFRyF_Ec}AmD}(Js@?ziT&zYJ3_LFtL-fMjk!hq z2Q;+h$~T;38{Q6ll0qZgfISavy2(B*4AeeIR66CPhST2f{QWzG6K4Im$WZjb_5%6k zsus0ci+7ygJ>*Lt*+xBJHxZuw!q8Hrys|$sez6kEYN|EBakFJGP`Z(ou@75LHcn=8 z)TPnM`q@u7t4IG6dY@1J5dnaM3IORy0ZGUF9qCAPe~@M60N2@4N9lZ?6jXTGN#3&=6B#&#r`63{K@!x?tSBBttd{3KVD0 zO#j^7{nlcf`ZWr`d}lmc?|$lb)pLG)kJ#2vlOx!Gup+_GZS}Zk^GpA5hU4~xUBT`U z;R@~;*;LW>Wn1EG(d!r@l27QphyH`9YX{l}AFl44-M<%kU%eVX+APA7C@-jGX@)Sow~jX} z(~=jpsDav95o^k*lN`8JlY#=jt{9P(^IUKj9%YCBUd*iFF#m&f#?!?;?uVv&C3!CKHkv52# z)pV~CuSq3!BoT$x{^~TV%Aj>9MJ^Y|MS-6u}quc4ljOv0V#13wU;4Mbqnh z2zB>OuWeZ6!L&dqUSgS@^kU!6ONE^sZ22B_V#^Wc$M(! z=EuT-xaoT7O_y-er0<^9%6n#gOx$wIb>`t&m&4cBsvoa}eN8&s9^YK}B8#uX6VN0Z zTSbiOzMqkcmxJ40618Y=#k?pswNF9cqr#H$^NVD3{&yc;BYE2{?3?~Bk+FLFihddq zt{$?E-2|r+c^K*Y5g}e@i-KbqEGzq^*?kN>KMxOn?gRD+Ohkp1q`2p1kQvLlF!HO9 zhd-9;d1{T1n#Ax{#af3hqa3$94+bkEIewCV*?HBqZ{%aNb z#rIR+ms&g>cg65g(*V%9IWUM~c+#_9=6i%l9h}S62d5I9#C~ZPtur3h;-OZ0Bne;! zsxMz<6>E$MemJ&Zqc*> zB_KcaaGg^G;7^%EAG`VUj+APC$Z{Wh&j`QV&=8-l_)yz+&~NtFgHOk`dVh9_B>8$)Atk(qHCF|mUohaZI<&=7NVF>*QBc_ zQcl~2^SBqeit0mL!OV~>>UPzK&4`)~sJl-Lw%Dr5Z5+x{sO&d*fN$O31X=0Ae~z&suKulDt0FcIy;a$59}@QAf9 z*PnbP6mgzpou%H)n$lE7Mk?f#a@;Hlzf`HLWod z8}ySjG(d-@U9?rv4Zy}exr&$_n2Xv`43^>f0^LSia{1}qn=6Bi%OAuG*VyXl1#XhH zU!~_yIDD_Bv80N%247!stA&2urDCw^*3PvOIkZFFPk)UWtHT3*lu}>!b5 z2*qoOtnDGNnl~Ym6JKp#EWa1N2W-lB*dpr*E}DE&r_^jU6(LP#wkAJHq|dI6%-YSM zEuC`p0RhyGQPTKmuSAcZ_w$kd&uv#v2qj-7TH?GewKh*0=PEP9Axf%rwX~vwozyXrJKG@8X&N&TZro%nuwrV%E)Y zTlz{72TFkz$))0E;FUys^AQnbD@I8x-%N7hOGtkn%k6G{8h1TDaopI^O%t*9WkY#% z9wDzlbygZpY_{^nPJXgi(V>PsT`nHJWLc~y5O5jXcL&#VY-7kjhLTTa;a^9S>F~k) z=zkkzH;1udT%>U6rY5i#bO!7=yWLauD23U{p2EKeQ|4#u={LM7i2d-{V-LY znm(mf;=N9&8#qf-uvgmsu170kYI&eiHQNDJfH{suUQ~c=osDu&2j*04rKvneZv_!u zB=rBW^%j0nwq4gS;Lsr5T_X+B-3>!Zcb9ZGLrQ}n(k&fQ(kUP%-4X&K-K_%eIbPRu z-_P^?zJCCYIb!d%*IsL%T(pSaOl9nJ(XY_GEZ%|Bb9d|CZ<8@G0J(Op9vSyQfCc(F zzxRFz2hhFY{EU>!HURPUd46Pa;!(@<0^xRXh^`1^Wm*XBbx=u z5A?ufVufsMk$NUQUaJjJaKZVj3VJ#JX!LO+(g>*s##)XQ&#TKNb?WZkx>-R&mZunK zIK4~V|8(KQ@ynQhS?r!f*e0#c4&0Ay@bTW9znm zk7=7nlhCqYuWK?%o}soGKIE)BBgK?}j~Nj-of0?)zWfWZ;1rInp*n&c7c=qriGkpf z-Gjy6clkd?7fr|361`C|FqEt-xh`5azpUK?H7kFN1g?1Z4|+U{kT<|H+X?zUS9^oBr3{ zb4}@{(K-EJ_Rpih=cxZJ?o_~ALQh%qsqPdFL4F?AHNEjx!ww}%i|Mbd4g-Fs?ThnF z#v!*pTrYn~9DKCXU0Y@SP^FVO*wOZ@d?-eY$M43#NSS5WrN3Lr^oJaRpehi66S2;u zI?4!sG=pOuG*-^1cF*lJUXee2SIq}SM>BBY#M)dMbm*WJ%4aSL^zqIMxNXK%$jIfr zU^h;ddw99tsn4vjl)|!#P9aPA#0Uj^NhJi2eI>*TuI#5P*INNMi-1q!cCYY{a2yJt zrTwp0LXxrK$;o$!kIzGcE^g@Mc2;aazQY3Tv)jS_Zu;9gZ{^#0$~J>~quQQd(OgaN z%Ug4Yq-9Xtd53kLO!m0Sst?#miI_EWf%doa&owrjG4q;;pAAYe_~9UN+N|ucF7ic#X=Y!|Z)n}Lhk^64TA$-Q^?ZbHo~_iY)zkUV@k!#5=s4w%blfcVQH;>P z3dZ`kxc_OD+XAg}-J6?4HZ^W|BATHSMoqn2qjyuwA$%3pUmbVe;RahYVz~H9IagP` zC)**g!Qq&{mHpS(D5v=BhIHivxMiIi*qB;aAMKDX$L#6M_<5tdu9X~Ch zX<*jY!|VI$+}@NpdR;Sajihxw8&dBOKK*GN&vFW!}#cgL>m{~r;O70L)OSi%Fh_x4Mq zd6fYk=6aDdKl^8x&JWdz#eO{m(LM!qb3v+t*R8h%xw_Y6C4j!kedUOIUbc3I$gQXPM~DVqo>+?)PEcc^z5i;q$6mB+1m44JjVs7}6L-bJq?Y zj)lWBk(1z}8>9gMrB%a-yGlRoo#s5c@229plPvS}%6yI)7(ske439)A14-sw2nqw? z{YvHjFb55KEX^eMYyHKwOwwYQY{2qr)!QMy!I^$`)ok?}4~WP8DNjJ$IPFZ02>ZD| z4k}UDmVPtoMzNPgolEb7&AanfxmYFoH?j%v5k4Pwy5ErP_!EQ2>K8>aFkDqHZ^Pdk z!a7gs_#r<{MSdzyUwzg+Z$+23AP<0uSNjvBVg)yl`T8wD5>l2*PwW%&=XyIrL#(87o=l@7R_x90;zsl&&Ha~K=7Ys(pdx@~fdLE2 z@1=3PpQfC7(CX)y6SKhzpNo6WysE;YmSA30o7wWc08$PzVL8lHcNN0Fvqv1k`R}*x z;|Yp5(GD|xzvDEv6Lfn?_q(=5r!c7`5aot0xwd^%dyVgcsne29a|~FAeIr6k37!WB zfi`I7M#}%Czt0}@&tZL;Y*ZN{o|7W%-TxyNgLpV|v0Hl}FW;2lx^7nZL`TzO)D%x= znbAl$D)<*D&(3Wh2%cA0^P1qPxxLhx=OMn|bs9N|6X%CcDp2pj5aKS-HuzTQXm?zx zNMGA^dx|z-A~La@?D3bj2M&aQEMV`ejAdj3f8+|j`q#^^fiBdEr$@=Xn`#5|O4}UA z*i>lTSux0|Y(Ex=Ks`7>4|FbA2O(OF%YF5nTo{EKW!I)d$oRJpMneMMKT z>A)+SK}QfjVMGv#OKdE0oiUD^)D{$3R$7p!x!h--w3G<(Ti{0gp4b0qf2#|AZ>+h1 z<_KkKFCiiqxuy%(rXep1v^?1Jl45t{D()WtZEX*)JJhqt{iCmQ@C=ezkkdcmp|c1|9=v8O2#|C)O;Pn`F#8r$2bzPn+G zKhkATmG>3(|Jp~2tu?HCsflD+LQ07T!L4>kX$!e=>$T)FM%9(HByQVJaC}tdQ2ohE zBdoCqVEo}L-Vcyz70BvEVrU#{<$+pG?Q?uP5p$jCxSLK}hk^_}_duey9ZGo2<-a}Q zvySgD=jtz@*vO8tJ-JR7&3YfI$Xz@Cor+qT=!EPJG8GW*uSSb$CtIYyysZ{f%40U#1%{fO4&}I7@!FwTZfVwz>WDwmP zKmf;mSrn=o7G&+&SM53`n$!O5Fh#~DCY!FfxhvNum#{sdDx9F5&Vw`FvuH6Jpn%c9ZExh zAd&E9gZvtPb-ewk!f95shSO-fKle*s_JFTfA1sz-s}rq>3Id&L;!sg_W_pB?jx{&v zSoWLmF~GaOPZA4;DRCY4T>AgFj2is(@ZzB3tDmRfjARB1m|l;lo`;?|PVazsI@zpC zykI@XCZvgoq1~kV+2y>^V525Udr)AvbW^R^bq|u^M+=Y;Q!<09u+iiFc>jF{;e+ndpma~W(q)pms{c_IcIC%!XYC$OMsc*W%c=&oyXtRA84Xox5 z$>HkBej2f6GgGRCLP-+FA*O>82FZM>FVB~*+7j+nmfdc=cK=$Y3hBRgme!G>?SI`Y zp4UcN>KWV<3DTf)p>ona_No!d}_Z- z$-3M1d^=ZK;;%R3^+-Z6h_kX;VL}5_k;m43sKV@=n88D#Q`XwMVnQ`Nm5jY`E1{}` z>B!~Ys6EW^C$i~@!2g+eqJ8+|gnv2cD=dn#j|M5t-{53>2&8dWau6T_^bXK!Saf8G zib*iShUe96(mX5a5HC6jenStDWLMEC+LwQU?k=hB5-Y4p-$p%<>Hjg-{DtbHnUn}m zj~)=I z=O)j#Rchgn9umMKmRtLD^e1aCmKn_UAALc=%0K!74z8PW!WhFx>^Jr^IhRhje}2BX z_b~>DYpwD5z2w%ndAX)hAMt>zLDCKcTas_D9K&7*0UE_ru_foAAzziQ<|@cT@zD{Z zAxts+EOG<73N~wEqOrOmA@KR$ZMPRan?Q=XB#(5OU9Bqis-Q)qT-kCSGHCCh)o?2O zQgGt=z&Uf`KjMTIrvB2QvK@J54PbM6-;}->_=jX(vbttjy)RudH2g}xP+h)@m5{Sv zK}rMm;*5VgrEdpGu2IIzvtukfh!+{2`(PhYhIT!}oyToCnfQYWRv+{KykFiPA@DZ# z@(6BcG_P(tbm%B$xUM#MrZy^6zvzOURNKBEp~D@t&&(n_uYVpC<2NdGJiLBAZ_aK1 z7ru_CbSZaP7`>c~byIPmJ9k-cn`3~|0jaEeTnZ%B8845ipWA8;5C5<>^x1bneOsDS#(jJYCjK8lv-Aj5YKPdC}MRw zYHY}8DZGCte;qNGMIS=$D~GEGo7IyJC&bZq1&V)TQl%=bXMa#?raj@SrT&6Jhkwve z3*BYZT}!x+xwn$MC7z+c3rl4ItYWeX*pnP*|Jsv=__8pS1)(JRYah2xDk{_ab35W6 z$4f|T1#CyZP#2=xiPF&v#bh{~0jYXAi@Ict0xKh#-Sn_=`eW_8yIgkt^eO8*8sL5X zN2;UD0FUo6`%cj3waThwb$1ot&Vd>VRV(WGjxk;B+zN>|UK7(p#SSJxAI_K`Q1HT#2LZu5zVJFIV>6L zJD*j4BI9Lc@S3}lSKsl`iL6GE=E{05%j(3e!J0l9=AJ_GWzY9ekM4$ek>I;!0whC*A)y}ri%6`lA*<~gnYGD5_T2m=E=>zQP$lID)@$S~V zT1XBtD}^lQP`8&WCDK$h;ijPdsN2{&#FY~34;EbhY#Ot^%l4ovAH63w$A!TZ8oFSt zjm|_@_K5F8Gstw?MZj2wEytlAr@4Br6)p!*ndA>G++jB0{M;Qyma}D0h@D0wMy@_Y zDV5am`&-H|{6b+)J(Q8#&gCtU@HjMNV9=nkpcx zW26sZJ~&*E=`9ZhepnQsk5G9x(c*3{f{`pQibrZ54CW}Ofia{j-%2m z8JGp)IIu7+Rih9!ebJ;JGdYa3t6U5gHA>Nos?ARIg2jYn=G6#KQN$Wl2OaxgX3CD* zZZQ2eI*drQ$XFg}MOBHyAaRPdi8|;?piR|YHa8uP=(+V-! zZn#);2u`Hkc-^rpd{fWu^>jC@gdxC~L)}yqp)obyYtg=*onhEGk-NMjU(AivA=XoU zZ+=s5=BSjyvHShE0!}^ehkHdWBYe+Km#QK?7t0q)R_3Z2(9kzEBz@Un38fR3P&lG8 zbBzSxBciB9=!+2iBm4#5bHsWS(q$zQOF_EaDxnvReAbzI%yU*MSN$3<{-6>K(di8J z2-`3#P8yNaLGG&mn4RFb@>=HWQ1mSQQ^>UdtfWEd~QC zGo&SpPvB-s77=s5fsEhc^(XT_`2Fzvj;t8E5xx|OQCO-Kv@oF#K($-LpDz`8WAlq^ z1%FjVgP-BTY+z0iFc6s@dQ3B4$$5@>4(yYhmcv*4gn?j;h(NL`!XgjQV@WiF%Vn(_z_g87iWC@Fu@^0yUoUFI zv4eR#!K4$~I^cAhy`lyB>+OD)WC>uKF& z|I@3N8}X05#JN)+5M|3aF6ys4@5j}ZYdl9sMC_oY1q6ChNz?l=}Z zdaNF_wy`sB`nwct3Jp?kxN)J~lLk6AO%lwZx^-o?_p$jzM9E!ofOAi1eM8DLB@U1g5}1kJcu1wP@S?5LD|(1mwFcoTrUv|oEBI6|#$(L#4!OCRBc!QM z|HVuei@U$bH^y8LNDc6Xf|U9fQ*t>35<|+oG|&3SzzI&lsfzBW=VTT8xe1G)o_AR# z65MoIE8ub$S`#c>d=VPHgRG3O%7a18;s|tfMM@OF?Dt<>i;9|&%yC^>{-)dXu(Y6@ zSc>pfJj*cOc8wuXO*TSbnYKZqo`Y4vW;zc7sRO^;1>i{5``i{!h;q#anE2j$W9Bj5 zqGUuyQnIp2z#tS|UMvhk`F&d&Pad~=-V$Yo^lTdcJIZHIo-xXXGSr!dY(#Rq+pCRA z_5-~SmArkYbj{!qa(FSI`KvM0u z<&L2IK*ld+)&&CmUGn}YYyWZ17!keel?R@)Ex(KO%C1eS_Sa{11ONv?4&PXmB#VeV z2p0}al7ad(!Y0YMI3^sV6B}F!c)E4f_C!~nz9eanUnuz!F~2YM{Bb9%I$EPfv3RdX zdn^fr_;>D?8LVY!1MPngvp7{krq!d)%lTxhri3{)n|dulystd1r=r*ge-GF+E)q!B z;txS?-y<_Ss)RKG9-Lfbe2+^Qv1kh;783~f-cxO{0MS^YM|^mE_g@=MSiEMW@CJT> zBMW$3Pi89KWEGdLps;SZv@DLdk{1vP;t*9t)Lfw9T~s3YZu7>lE!ffGkVeGR|149W z#)9eJ!X<5pW@X^`?Yd}$htCM)*3z(b?ANBvxzEq5O)M*EK zHK>I4z$7yRJhpa}8buH~4=};x++~KaZh^-SA&!TPUw#%j;4E97<06dn(hPT49v14| z=9YKoaC&2de{4$Q`CCO4PAO%0W@Wr`^ky=a&{o`KE*wOuDJnKQeYUmI& zyYGPfS!o-FuH+Fv<=p*P%_u99=H^vFoQf~ZoA&rtVQ#?qI`!mtAyZgI7A1rnm!#E2 zB=g|qOPX3BVmO>-1&it|S`{vCo&);j|4h=!Aw+oI#I(KL>L#7-{+!<##iN-{B6U7j)x%*n_AI-1)Ext-_>O?HVatE2nGIpyZXLi z4iIufVsH(^E#$4sB@UKDYBIqI5Ebjh<#ve7&7(1n@BWON_4ga7HW|cz_uL zuK8b+g8~{n-mg$!A73rnvpgAf7TIPd@D+UOYb`;2t=Cyo(LYC~kg=qxenRU~3jp`H z3Y0(h&l0IvgMHix63?VOVAfZ`;f!HBS&LNN$^j)&@vfv6b)Ay2q0O$Tnr8w2!UkHy z!ct7{U@1lx;`XV$@;zg`uqC}vfbY_*Q5>;iWRd2uwH?s~TqTssfH}l+`V13S0T;T2 zNwJRaA?+egMvx>mcU)ua)DR>)SPb;y$b<%qd#GK|tfj~|mT7>dUq;4l*nf1SUuE`) z@;A}x&jb*_JoX}$)hvYGKlu`RE#E@RsZAWm^nihO=IJIP zp3}0Tnx&^j}r4ACJHPG zG`{g_pi*BY9s{x7u4xf?A@@8jSmj@^*70Sb{$sFuccg5+b8kafBFpP**V9Dp1fns? zl3MGqIi5tcH=ldCFR$~Qn+$?L0vi@4_Z*$%-?`uB>y zTZb=>L#b`UTDDJL&J90Qg!A@Ahd1r3+IF;BV#U9gk=BG5lB=h1^^?$6*0&DRH6S0DOL z6Jt~vZEHOj!4Y{>wD1gO1M3H0JO4#W|CxX^H_{RbU(D;K;*M4GNO{uX^mrWEr{I`l zw^z}H%4^wl_SzEfkxgehd?Z8(c->4e;{$`9pC;~`RJbN4XEXB5?(dMcZ!VpTs{B%n zNGCC74c}$UW9kU@g>W9Nw>q?4Qgq3h5IBGE{2fYSIR!&Yz%)1%4#`q#Vvkh?Y7GQ% z1gZ%%*&#bQun*=LgD|HrR$i1Fr>SMf38|heWt{ItP2}=rwyz==Z%Oj8yGW;^O3n}B z@v2ngLcpOBlyg}>W_2Ti7@$osR*P@06B~705-!Y`pO}Zl?G?(2(Zfi!UY6$o_C&y9 zjXaK^uU4h5RBx4+)}Q-&capJBC3wTq$nn!ZH=5;N=Srk=eVZZQVC*Kqg1@$qqfS4y zOFdT;$CspyL-=doAi=C-Wsliq)epuXR*}KP^EvB|*kp=vfSi$CnGFy-lqP>*Pm{oy z4DrzyTYW8tYK00^Q~F%$uWb_XdSw(v!3L`@xe#2?q%xZ(Bwl6DJhL32TfZhN@)GBB z2}gRig8$WMXT-@VcBoSxm`{gtev0=ZF+1M)KW4TTkIpB-$C}CblZxo)B-enUEe*w? zc#q!b^ZR%tj1gw{fH;3f-t2;d4j^5BuMu&X@eKeNN?PCf0ed0ODho}={t%xwfOI=m zpq7SZv}C9mw}P1vJZ2Tj?KBN=(znPpjAdnE+?BJsV9=kvM@JVSwc*2jN zdbWb->+EC>P4rmr%(LQ!xcI03%!%vzUIh2G3iya#iI5Gc}QoqX;v`P@SS) zj{mhOzxT4(flZGYgSlelFzfG_E);MxvO|M6sPTO!@>9Qlh6?+Eu#R1x{ zd@jF)!=j^N9nyP0F7UQ3S#zNrxI_`fk*{B40sxNTF{qEODvo;2*ZQ)c@t8h&4fGfS zd^zIjNoncb*#CSs;;8H1gM7D*{l;4ji}2)k_vvqoeez4Y`hnDD`Bos3RV;}2xL^Yq1V^MHx#-(VB~_NfP8R`27+F|V?R@wRLR>tCP^-U zbCL?9o(@)S2!+Yact)el49n+1a+B#f!m_x3;iX=WkJ7c*Zzz0rUC>4mx#Kzj_Ie!-aYKz{QkQEjj^LO%X{G#HXskkIxZMG+$*7%eI;J&{&F~f-$~G* z&$4>@ssGq8y(4gXi@S_9WIt@jW%Z-k7JVGw>rZyq2Fh&4(90ZWLeREXlfNkqH7KGN z4grdm2G4pGj$IxE+FC*j%IMtaaBL%6WD7YDh!a*b0NQ2SC3%C2{@)rIb#wxz`%x7{ zo$rM+RB{E6@rLg9XwXYlTR!D?Ma9esHFD0;S5hK3KTj0AeGoi+`lUQ(jzHDaq~|cL zsVv^{SreUbzHj>J3>!TtNN2CVYipHcjB?4g4So0PnI5Ng!kGpW4~}%*JZ3#VV7t0NX;!cJw_E!7q&rPaplq1;|*VW7wp|b99o(_1}bB!My=8 z{$ok31ET%tc%F>SsPMoF9Z=y37@K)Wg$QZX*%7R4+-cwLH;c40-5)Np`kae^uWW;w z=iL3Kx(M~ra?`G&*a#;K)ph3>HJ5%pHZ3x}uCQid?RRi#@_q)6Zyb|Vn8ZV%lPhrT zL7po+Og|Pd3o;F~kPPT(J`El#N-$)ju1S^+W^?J}FgvFWxr`btOSIhF${2i+RD8H% zyZHxk9Vb>jC*ty_A)JuzRAQ~7XpSzMWvwM1f|QvGwmOsx{L!IIs-PW(9*~Au7 zrbH(4;VH&(C0S+b@3yQM2AG*CdL0zA`w`-PrQX>g4~&}n(ab;oa$z;-VbVXZLB{M= z_@XjdCkPUlKK(srE0>@vV40p`ld;~pCWU{?+nBO7A{%pJr9nHL6}q+TH`*bwd6g+} z@@^{YwLG+eINyulj+fh82phO@d2d3|(q2fFyg-2pNrkfXin$fe5`o$I%OUscgFnxg zXKf19+}_H*uS4Ohthh(VTTx0_x|xy6ydo9y)%Z9rRe8N*EGC)uU{7Hj?G;@9Y>`Hc zyF@w4!;Ru3aPY++UN?t7@mh}kll;{w75s(HV@tfyZDL{YG_D=wOy8Dhup^17ePg~g zsubKiFA3Wubl4_EYD~REfxeUqtrf)||Ct>0eGaP{#W2IY-cRa5!g=(l4GSpK4t{F6 z#wu;(i{Dni?_*iK973Tv)P52irbmJ^o%pw-ydRS1MW5&sste|r?I26MnHWl0?TO;#W}>t}#P~{AfbijG zv;s0CNDd13f~Sc*vX(C7P^g`$K}4s#PzfmY1CA8Ll);!R*(b_2M_(%Ck%D9KzE1xL3ZNRe}|6Ar_qo8^>G>425d(E=;Ok=Nd( z2T{s~uHfUdV0iwhbRA#CukM_Ao3?*Rx%A0OzX(FZ5V3-9%2caa={X`AgV%q%alY*k zaP5V!mVsSlSE+wnBJZ~FMD`56OkI+7!)?kx@04GQd8bSf0m?fy%n+4>6 z28DN08riQBm=+8n#G|m&5}3~9=Fi+qrq$eud9GWt7{%1uAK zZk3~GNKq-0A+i<@=qxivEx)OIQvBj|8a|q@fw#OPe|wOR?E1E%Fq5k}yaAr6p1@Hi zc+QsOb)*(L&VbTv95fO!%cQ_j^J`?}3yPj#4p2lWwyzTCRe=bDtA8eTxh)8{a+r;% zxPxzJltEoq9Xa&k9ce+VM0S5CNL@DUWoayi(%BG*HHY_`LC7!k7KIwy9IvD61c~P> ziAUWotUizAY2|u42ho+hdOvH@4V3WCT+pWg3zL zN$_pkV0@9#;h5E*bq9(c4W`G?*IPZMkw^@0|jyP-XFf;qABj83Lp|3D`_yw zlq6#`uzZNqh-_ji$&*CJ%NMc9R1<3gN}X|$7@fKneBbM%Jv%&v?MR7=Sz;?LVfV?RcMMD6#U6P1&pxmiHX)lnCX4#AXdbg%KW-y_gslXg zh7$vUSv?9~4htPxDhZcLr&h#1qj*u0T2Q>)u48Zn0cW!fjx1H*{d|s5#I?QA4~s@%#y&}c!jNUtb{Tr zj1Y;T<9a$X)WkgkY4gN^x(Z?iShf~_%aBr;+@dK-oo1|H_;70}U@6 z`t?<#uv|@w1f)Lt0V#5B4IKF-wF`352a9HjIwL|5sD=?0(rD_Eyj zFf-sLoXyO<9Im5)8=UeF9NHpHzFBi=Bea%@Y;%M(q(`$5afi4M>zn&T8Q^-;+neSX z#0TO*Z)o0UjxJ5P|2Ovq_1x{oM7VpaD#L{e3WiJyVj zhq9fCTf|z}uCMZR`_q;To7jwbCf538SlP~CZn_*NU1V?HfMQZWbMOmLWgHyn$n(m* zX70C(^!sSvY?btq7{;N3W*FjT08jey*?;RnkzHpX>{M%`@R|~ed2JdU1 zzR*-`0MK!Y9$1n6Tj+v48dQS@t}qZ@rz|oLu+Ky}N35j5aQu0gkGO!MXq6e5)MkPEojtbLg!eg>bAC{@#;m; z5(s}>ef%cBjk0JVic~G7=Cd`0i0An@E_-%)bK-zPmy?3)1vQ5HhvXnNqUpMDxFD_Mp0orq3ynR2JQ}k}hC48&ZuVWX4 z=`Se$;s|$!0LuU`cEf{cB76cd)@nqII1=J8PpVuezlbd;ePX~bg}GR8I~M}v18fA$ z2mtyZk*egzVwa;K)I#><`6HRG_}M~s+_}!BaDymW29HXU)zn7O8p*<9@bC&xrIF>y zv}df{ZNFn9J)qhf*KnL(Z2ff0eIM;zNEInDk3-z*Jh|206^t2)SoB_l=OnNEZBx|X3)w+7i^NQx?cde&FO>4OqBWh5+H zFEX>HxIfxg$Rg&|zZD*Gc_vFp!;`G=a?g{d8Ql0s2+P1wV=nZu{4Zvv1_g%#r$i-D zgbb{WSP>h6BH#U**sdk^UG{u~%b$5%HHFfZ12`}sNKe6gwPSG#P^ z_rk*q8UB(Kstgkv5OXx#egbFw8{y{$r>7y&haF!kVx~uVZ9XoQGVnWvE1M!M=s1kH z$6>!Ft@#FGraKB}3Vpv&;%-?a3VUD4u=h1=KCcMmVTsT-rV+G8;h;7?#8h5X}h&&t?`vJWN z6Yjb`G|(vAvX}Hp`@CDfVQr79!c`)wY5b??jF4CcejF1Sv#17u6B=+_ozVLCPw4n} zCY;9lzP?#WBj&3S{84u1)*du%(R`gBypK;@!}>mS+%G(n zFZKeSFO9`=I^gcb8I?+SNxr#FuSbSr+vx$>oabojU?4)`n7TKHLYQg!A*6Zzc7tyP zms>iF@bfs-j4xuh^m_oDajY=;{KV#=LKX$QI0*~`wvHb-kzCagC)Mwr2ZA{Cbk%M@JWDWvb&CF@}hGeF+ z_FlYeV!|a8r?h|Yeua|O1U||NeVY+IYZUm15sSZMZQ2PJ^va6KDvxuKzS)Lio%!P` zlhq^j?-u}@LeT*rhJ(dg6)HJiT>pC579;{&0PcbF{3TUDiZW29rnixQ1K#o#qHueQ z3>CS4asT_)IR9;r_aHj4*n2K775Fj_$y38BVljI@eF~jt5{R36xj300MX?qxBmX;Ek{ma`xJI z52v5gyM*ja7#-I=4HaEyM-lbB2gmP~-bLU{nBu>Pc2z>#mCT7xM5{1uVtj6tJ#%5! zFR-_EO$DnRj*ea~mhhwEel=|~Vtq4dcyb|2)G1%3fw3LukEhu#GHaC)CJ+rb)7=w@ z^mWv_hke;z(PjNP%klkZ@=!{`e`3)W;0Slz_V#>$1p?UeKuIB_FkBa)TFbneyF14! zxRQ>8lii;cay4ox-PE3>%LM4E;A%0xn)#ML7_4LQAv-PmMuVcvWYq{|N~{%5iHM@T z0r?3@iKgAlb1#dNW;%-%{)6j!7<|o0>QOCn?PX)@L`p(`eEvdi-QD%F(eT0Rzfby| zBv2AsyUv*aXLtvX@X>5%^deuJU-kRax$nmYkyGSJ$_uEb1f|T_OSIfp0r(P#8z_4b z-(9OSo6C`pHI8bb6eNA3ip9r|5cwF)p^{R0W^w@#H_;}V%vWX#u`02>s7RjArdZLe6bb2Zf71&JoGnp_( z&}}Cp%QIK-At+=0Etz={jxj|(q?`jEn{6o73OmN6@LO2jGadT_Q_X&1*g?QxgVc{A zhK?M8{_TaP&;>LbZ1`I7MFXexpA#lX@ml2LQMcNa;i_=VRAX zBFS2UNzfXt>Jpd;Z)UV#wTY!WVx3 z-thYsh|XxT4>5dOfDNlu8#U)W7P0H&`rR5IS$Q(ri<&wDvSlbh0#m zvqDDLXOfX<#4Zq=)l%pUCrB`do_sjTuC$68J5fVs0{TF$r0Nn$!K(9Fv?@&1d?kwz zDn*!9n@4%tYK?W|QO16n)tfN(mC(*KVJkgSkuxQd8-pkcr(YaL2A}Dr=FV@ir{P8o z&8d1BM*q&nX!eA^Wn?HeBNg!Mb}T>Gq5*pcM!+BV@+HZl-@702qGY=1@rsCYO7AB- zYlUTnDWwNG30`PTgE-ljz#$-FA{x4an9!`x@abHpPMZQZ4_V&MISaU9>*906iJij zSd{N4N+1BhaKI+4xFqND2XYIvOfD3!|FN#eGtOLyT4OvduPmG%AQsSNI{FT@Cke(J3r|xQS`p$lN>j6OtVDwAjlZsS|GJBbHN=6gQz$ zt~caFeOiraVbZ#sHRZe{5cyLadSo7U>@n^bu^c{33qQ~2i`5~&CdTPb3!i}P`M*^P z8z?sN*^4NE{P4^+v&oaGTI|RWjezrG<(u&asAs<~;3%ipK+Yf%D*HM9?4511no914 zw)-z7f@ic}w#=F)59oR=-nEzgUc+hvGpf70E)+q$ro?cNFv;8~Xup9FV@;z~cPgvD zWzS-1kPiavz(!fXSL}nO$0~j{3r;4qYiQ_~1G*9);G#>Q%n<%$Vg%wCzu7WuEm4vP5hF-|N;Di!TiY>|;L^JaZFv*h>xDpUdhkj5ENidhNFL zV)Bscs^RVo{_x>*hs{IK!oT#&$dzQrh5yho?KBw-`RD@3v7%~orVkCeB3F<+LVf-4 zDVp0x?6J4T;M>L>n@+Muff=vgxNdTn#6gS5YF2CPS6T+2dxYv}y0SnGbZmB|CZ^3a zd&RzicUNTua*H>vJU7$Rf^oFI_~3iP7NhVVgmbJa<}=vTaS;aei&zfld!)>1S7XZt$i`2yRZ>Tu40^*nm37sgw?m)S43XbbMo?c4EB~dn*9eAD= zBpYo1N~&iEDXriO1o`<=?uphan>&x*bLV~Cs@i8+)FVx_pwXRYDVJo#1B*H}p}6Lp z%Q90Luey)(LYba1>5$Lj#{#x3f|vy>At9f=jCzHdbR_$aNL7em!lm|?Dc;SRB@l{t znfwh~+psMQO2yD6D*cm^?ch+t1GBk zlf9gd<&EKsOygKA4Gor~>H4%H8)|@O0D0d8cKzy(%x~m#PsTsRkoiMrVfvuiq#&Yz zAW`1ub#fd<7)?cp!`gMF?e*Pxych5R3c7N-zi}!JhF2TRW>SGj&xj1af_D30Uq^%h zG>mYG*g%_+++UcG!&cJ7rX~s?BWtbBes4;*RnRxshVbdcc=me zWU?9W_3PycKdV7?ha`tv`m$zl5g6d%=eWidzYHtuYjoT)NIl3`+YC;!EwmDTuD3yy z-`ec<`=rGv4wqBpm9zUi6@FJS5HG!8t7<1@r>Mp**8r``qHf*MQKSPyURu1I{M>A% zink)%I$t~vzPlCSdf8Brx1$Or^xT9}yliHwkX2?yWLYUFfo#%ivaD@~^g&0pLzhIR zvsRl#I>04Ig;Sn1B13WMGy81fVcm9$QoBX#_987s_R=>~KIwi>P9@{J=KP)CX0i(h z!}x|Mx`rRR<{umKy;*?`BQ9t zuA<1M&&h26Y7qZd+-{+oq&J$*HrspTHOG{Wzz_VdCEEquxhiQ6>Z1E7CM{X*A>W4x zrET8|M;hS;+P+}O>FI5zz=_2x?dwn`KZ3?DlMDWQy{ zp!)Y(bBX|=AnJ=;4-Sw4RX}JNp&B8$RL2q$+q&IKt3ZD!S+t&MUusV81#RJXBae1n z6(=+_Lgf~L9hNXQr`C@@u6PMlO+Q9aoFY_>yV+%w?cjABNb!3>l948BQ7io3vy(~_ zSC9ZIHwz{^2(6GOBv&VOt#)-;^$_SXop2IPWLTGomh!v!(1d)Bf2S$~yWgBh!2Kq9 zrrxYfGxZvUb0pW35a=@QRuvP7&Nb3NR*xBM8s#O$#rx3z_-`t8B z$Ud><0i_kliJKgp&^>F@(~pa;vizG@=3uO{gAJo6wN!x#4&$9n!|7x`*$b<1V9??G zjbfWOc*xDP`A#o-uuOu^UD!hAle(+%pDina0p>0rtr7@H_R9|o5wey(nmk|wJoPj6 ztM(vHE*XJ(HJ9Z?1nZYWMM&l0Y7+flN$kd5|Gc>l`OOXY$K|7@O6}izskv42cnP9ul@mIrYk`e#!O2b%lYi8oALQK$r4nO zYN=U0oHzorF^Yye*k*2F7SrdpQP0r^iRF+I#rM3AGGvqsc>DCGgqFM@Oj*QpH=qr? z6CBdaW8f2uKXKp_7n}9*$GElgNJRcccHfbKQ@V$z_lM=*1{}sV0yl)4M`0UJ7XNFn zI05)KW|Ue}!qQc+U?HJoHdjDxB(`7xzjfzY(I{m(X%KD14@J^I zekmf!=I}%&H<-$49#(hz!4PHhm4N zX5?KQp&q=zq)hF|fsA8+%%4|wkUb>bBt)9nw7V;O`O9@b{=>a zWSFmxB5(!F)I-lyPP39V=#Uf;kt`F+Cgf0F z5x_g}{%sFsV&rcRh$eI*tFj*YlTDST<#fm5?O*;svfeVT$+&MHhB>-r0#X9P0BNMl z(cOwjhe$~ekdkg`P^6?wNkO_hgb@NFAkF9&B>(5Y>%On&x!>`^&&O@&FOKg~rzKBZ zh(Ivuy0A+^_))&y+vX_lINC!Vw(`BeiB7zh4#jUc`-5v5r}Qi?8VmB;Ah;@J=H9?> z$qz__0`i8Rf#+E{A2BP$M51gbJ{Qs)Myfdg6DCX?#ZA)6tM;&iyQ$FC=0{Y+)M>vC zGC$BmC*{6DN&2{-f9Fc^kG|K4v#-lZ{55A(2Yz&SnN?^wD58pQB%eFx&QnGrkJpT7 za$cNF8wP@fE>*6tUJ(|#w2l1%pf`{y$co8fbhb^Tafc4ZK0^jT~b=(Bwt2vlplICF@28!?ypxg9_cm2 z6d0gj6-?5@U$jHXe^2l1QdG6<>wm${fh{aoYCaE&EL91o*{KN19`^uY=)I=5vdd+W z9nZ(F?68xv>qnC%oa}4L_Bmvl5|j=kxz)}bjILsRTx@NZj07*fpeIm}^?z*gdY4$n z_xiKq{z3FZ5rzM3ZggO+(wby_Lf!48{uk*%JDoVsy^mrW*ee3>mKb5pksh)t_}L($ zWN}@zBj9;r>q>~lWrSuHng~uYJ0`A_#xCfL#YTfWM3^H5zcs*<4(*Un1#>8UU$K5u zrI5evLn^+C|3uJ7x~R9aXvJ+QC1kaUl3$OvqR%E@6S&+*ngS3ys1-$DuUN;8Z3e+e zAHoRy8}6E#83AHYsSF?nB@Dd^$QxJePv2H?*5)*nnKv2g0N>x~#bN0>%54fBY_#Ir z7|jVxk4)fuqs!Yc5yZMNo?;NFdU#1&@K{#gcbU`SMkcHDd~6qJuuGRhWI0qhVOZu# zTu6Q#WiTZ;2HP|MMrsOv;Kz_7$Z`WfJ&`{J+oF%}bfhBERhdJ7fpo}f8%Zgs2UzLJeT-A-2C&;e|HX@7K zI)AZ+T(SOxY;sQPPzumo`OkF`Kml6W{T!E}_#LC%bdpZOb;j9IFsI{1R?F}9zj)$~ z+rR46uSSx#ZaQRZs-u%I>VBlk@jm$xPqyRUg7x1bC%to*;vG`r0RZ>(?cH zOQp7mIV3Vk{3zXG&X;QTo7h&!jh#jx39ZYSTrw&{Nk+i$0|q8URbGUMD!m2{Sc!Gh z2@9(0JF~>rY}fL3tO1+`*H0)3BWh2ahU6nYRIxgqM#QDI+k^1xh^>)Dd2H+i5v1wO zjS5BX{m&~*zIPHNYQSgLuS5y3jsszfP^d1YTX7b;M8;V^#AcM0^ z-zrLljvT!NW+!oQ*lxM_h4&>p7+AnoS}68*y>+uHxOI%Kbr5&BTxiCqcLPtczt|XUD4V?HVGZ6T_##E5#qL#gq&5jsc`;{)5of0CTR7%`#3yfd^V6#@e zfvt1<9SXdr`vvg48i@o%{p!3}YV}uv!DOwk7}NKKW=>qFUq&||WBKzxo^5IOIOM<>5yFGGS4lnc;r5?~=-!=7 z(M?&C6d^x!$mH)c)k<%0q=j>8OwC9L?LzX#i}~Lh5sBY*HW4E#m>9~DbLiEDdJ%m-7B2nh@Y~Euj=NCysvRq+^QsN!KQ$ z(ageFmREw*c^_H|^;*u{v~ecqGU26xVvtos;Yc$|Z$(?F0fV2bgu)Sh#|XO@HgzTf zB$;$h9OPXGgF)fMZpAl>5uy|I+!os=i|}rM4v~}8@s((E%G{rgO)@7b{uevaD~r0k z_j@J9K8d4I&EfUN)x|iNWavFWD7VqV?>}BwOtrjZ|lxs=6_?lfK7~bA1@< zwWv7snufFno-<52%2nX;NXX*S^f?nd_Y|n0-zft76134yZr_kptB+EUKL^c{fg+$XbLuD+UZxAN2cn>AgOZPX^2V+X^CRl z$}YnsI3K%;fYayxM(%k03g=GDgk69lNay^slL3LJAwrD4VV7z+iuLGN4<#0OTrt}Z z&tw*S8M{I4|2vn$TpqUK*j!H<*LQJuEEgszJZ$l&_nyum1N`xMqE2U?x~Zc+!wpZP z4<{@WAf7}AROWWL)zDsNr%9gN^q%p)%s?qs8E_~oZH&9B!deP%7f1xIXnRma?zgf# z^9QC3yoV9%q~p6CW#<7>rSt{Y<&btxF*!j0Ah1zSDM)i%7~8)>Dzi3w=;_fduqn2> zglfc2JjtYs`r#!w@>V(9nk)d=Vxna0&lWndrV|}^0GDR#dSo!J>`@XVbL{SYoV8MZ z^dIc*=!DviH0EoAnMs+P&?bW5(Sv6=d68LZ({fRM=Fyyb-lv(zKJ}CMZRy)Bo@3dn z`Uy|}KD8O&&7uL;4IOxc1UQ?Ig=|D#(Q5#N)Q+l3bU|_rnkoF(uu)(#`Qn?G?%d~6 z`WVD0wT@^PWrNso9H2zx8#FBnc}<^gR1@cxNdok>b2=XGw}wpqI&XlJrk;*Ty3}V0 z%6}t)g|P>>!LuBEYZ8_j?t+0y)36u)>agGJbj|)lJHy|se3xo;7i9edei)6(R2#4i_|oEH7F^NUiAlH)no*D< za_Q29e@Q`bN$M#8AK}7L*9-(OgAqRDXEm{WmtgLuszF>g0Uk2TunX`etsye{hO3vr zPi*I)kd`Mj@zCef!En9Dr|^ofxTu7m4Lv;!Q9C%SM)vXC1W=q?7^I4FGD4~0>6OGR z#--@8&zF-5Zu>j!w)rJuZk6*6LMZjUQPB3WnF`l*eBt=dX4 zJ~be=$K>FtmE?RTe|*%RHlO>GkP1;U^LHPu?92K8fWq`hk&(I(jD#ZowyQk;`#9|n zJ$Fo^o=1in<$s!`kD3hA7*7B|h!rF1hZ?ooFbIMLlk^(a$JXLYQUQ7yBd0Wgh0NA* zTaw%a!5|D9X^leQc<60k{ZO>+!B~fd@I$N$O3{;Kr%LsIu+=s(*%PwEJ?R-Fa7W!9 z!Zr04^g$UB4IxZ=37v~VR-|24VWvf=(t!pCL$38h1%UN9gDa=Ke9_T16g9=5kl}_& zEIdrgq>(sNqkdQ2%aA=CFvQperym3+x!OI00oFmS3QtlyTy3N|gcbkI;6v%)^eF85 z#PMR+t8|(eQ|7ANXxG_8v(P%|&*)1Xza&S%X{+7M;&)Q2STvPIYz%3BgkQ-d%hJyE z)e)cy7D*>FssM*^HH&|t>$CfJn!iMZ6?+*&Zki`!zqjuJ=bbR{=KI_WkT5FP3_KkTO;-(!jok*vG zk`Xm*L2W+Xw1yNAp}I)&Oylra6QcCKM-XA#2`1}3`YLGl&a;z#h8053%&n|l_QR`R z3Ll3%?BCSn2}*CS{26_iyZ7t_d2D~f`9z?Mo{OFI^)y?`%fQx)*V zKxZ0Ee3c?!gdAFbmH;_w4*YJ}RWr^bmaVxH5+~{R<*pknEj!qrT=XG&{H*Z)cR*Tn z5kTU6(x_lgAF%JMQF%n))XW5(ni;P2db#Q#O zTiy~i0|SN+@es`9V>}>Tnqs3sOV<9HhK7mG$WU;*$KA>tAIY;O%I=M6215&T_vLh8up( z9}4(hlt}R_)ikjaW6%a)@hmV^e|8@hMP&KmwcIc_UMWJ4d8&TUf-u~)>}U6!HqQ^P z6?wH`=xlztWb=;N%J20D@I*B;UmxNp5uZU^+ie`F&(FmZA1iN@53+(FjHQ>^x*0_W zi2Jve2);YO_DnHNbdA1IwCttQ=$ftx3#A-M0aoVI6lMZ__N$?gZz+-{bci_r6h~x# z+XA4oe;BKW9Wwlg4Btn;+xM{6HSayU@|Pe>@w=@^3zhF_I)}8_WLUTqU;iPKj2B~| zi07VTWEy`~^|(#V4$X2NlLMHt2!$!1c9bOC1I5T^BE|^xCZ7%bGvh`Z+Lbk#l57R9 z-(6YXkNF+^R-Xf`upNL*ALk@v;_3c^m|daw9ZxBz$Wq9FmtCwxs?nI0DgtSeVU_R+ zdlhICDPsYaVu-OWm)=7PMxJ+!~0+&!--EYfpOldEL- zgr(YfP~mYw%ifO@UiYkmC?*i?OxPg49zjPnoBK-qW-xM9HcQMdU^c~#KY)s-C=X2{ zbTLS$bHDA9#cKWt@cjxoyp2zlsww*@8)@p+LxEdpH$yU?Y;odaUU#_m1u?mqkI6B7 z-KiD%A?mzh9qne0|ABh+{2CKpfD2xd4#=HM;YzH3~jzf^6B2 z>6;3^Q-N?jO?JuwJ`M%)oh17wS=0M!sVJi5qwR#UDBn&_&K(rgrv$)A5l~!9M6a=l z?Wfa@W9xm8Y$5R%5r~#^oC?Fx+fAgahgnl`fismI_u)kKP{H)dE)bLZS>j5=ZrvM^ zVD2YednrK~cp^?aBy{k_#sL&$N!P9ON+Qgn@Z+V!4LjsH>Ij- zK5BqX?E*W}ZPWvNXVt+#8YB)(;?dcP0a*!h%D;{TtbmV$5LWv0E$RMb+>S*#^b5v) zfy@K(2I-XYI8YJLKuoXUj#^U<^ke9F{{0VOnvD&ZlD{-i%#0*}Mo1U>TT=fBF@kh? z+)2c66D~^hOG!*i6{CaiY<;?u8==j%s7D&M(8R6ymHU3z>Ui_pfewOqo>*k8bpzZA zu%4hqu6nuPNQA1t08<+8_keE#)EnoBehh(68@_qtU086vUhD6Cx9PNNpmzdQ(Yte+LTG~ctPqz4;;Wt2f6Mj2R zQ!52m(qg%*rTiSYQS+rqgIXoXNakiKZG2ZGx=)zW@w2x;^{m2(9)k~3Bv*eQzg3wl zk?b|6d?6%8wz80jw}brjy!Q9f3znbJcP37{nC-(5&F37G+2E?65arZc1NMIfEBa+y zs|ksFZj(!Or}Y4H)AthM8HDzydb*n!eUV7%haW(TF~O&#NCP)Taih-f;z=Ho{*)8k+c6p{+>)tk$_>m&TFM6GBeb0ELysq+R+_(YxvndX(|s;@9V!E&kHuP-}wzPRCC5j@&Uk>B)bx+|w*#M|!a; z+Hv39nhWf+7$!wiDduV$`>r9vuUeJds=eu;?JasyGaGF!p>N}_SMwp&thrQ*sl3pf zMA2W?KE8hkT@@GJy^y1P<$350e2rKmPCQ&zHparkjuXC z>|b1o0=Awl@oIBmd<$xQ1CXH>Vk47Yc>YeZnI_G==WD~_wGMmzTa8ZQl_6e--gkpu zAYYZ@jL!e$r+3{Ll_fI8j}?rctL@T4q{sj!B9W5(dXjM6^OOfJfRG36!^GmzYG#LFJB&*P(FK8`Dd;y<;cry&~_J6Y#09d{l!wMt=?BF2{f)U200aXt|Q6fLkGpjqu1Q0uB% ziW2AIK8{4g2)FHGdGBB;scV62vZAKybu;NZoO2KfDsP=l^xX z)3iT+u>-qz-^WH(sAyLWdVEKZv=$yG(#7Yf1s~P_))3{0(808DA>D~LNUI>&Gh&6Umt}f?dg(W>H}KrIY`nG!a`H-?IUjL@C9(#+l)QGp zaOijn9XQS~!4bWR3V9>QNtR-l1kUns$i{g@X}jL&dr}L*kTdE+`HXaskBtACpgX!j zv(AeuYbwx_ELCf3RV#&ie$_?p=vy8H$39namO15gj7^*XSySYu8Wp7mI0*bhfc>x3 zK~SWofGu|4UlQjBaj&*A;%v-VNOrBSY~pcp`}uxEg)TM3Fb}Pzw97<>T?w^ zod@Kb5Y-}~I|f|1t+Epb7wU*QJ)KX?xj8q+Is8E2p_%%PbVy~!k<3T919Z(9IE8H{ zcQrSzEVg~4`CEZ}t6`b_?~sY*DvJ|oTj!PR1?Z+Q)L@%)74I}fy|S4 z0nphww3c$*Ud>Bv%Y~Y7u>oLW^O6ouA(i=a7A43?;kZn zY_wsD*(842)5xPFC2KA5cx8fNRor=fKpH|tppHQ`fJzmh7HaZLb6qYhKZ6sP-#Adi zGf9w_)xl%IAiD#BD@NB_$KrBa#chbDg2K z0HgoLrelOwvvXDlSXIrOOkXV`kKtYupKstTKWg|+p(LbvM@*p)#{KxtmY(89r6QWN z1$Y|?>!*l0?DCUv2AcZ%y9Ah3Q2Peul5p+RSA6`{MTlRK-sH2rA)koF`G^+kq3xZBl&x-zog;4U;jT;9GGURv*@uN@>UyedHJ@8hX(wDGa1~W@| zVrOr!&q)HwvW~4dPOUUK8{k+7>|6i@Il>e?JZ->ifP?kfth8@SnCOe!rlIWtBaHUa z$0_eOUhS`#6pR_x6pYvIc1peY6stSPX)j2Z>Gcy`>50YZd?4+VOHW0{bBVGmd!n{a zQ&e*FbL@8@^o@rz7}%8IQoc|pbk7~80){BFnyBkhbX-yqjgyE!^&eoS0jXNvgo&l> zgw!$|XlQ~3sMkhpyRPY1QGYAb9Z~ykjE$SHN^CyRL>On5iI32k}*lNdZ9-JlmIdgDEL=&@Q;cpZm`!7?F5(6<1^at<{p5CZy z5V+KlZ31A`8cUtF>Zv!< zLNv;i-xF9MO%AenI8XXIY$*n=yBc`%4wCnt++B~d?OobaEK=sArqB7FW}IrH^FT9V zBN28B(8shL;S{f6>RfeCpq@=~GbL1`U9o)RhX6Z>iQwtZYs+jPKQ|)EZZH4t$2B_D zD++-iQs_hr!C|?=y908b(gBsSy7ya`HU6fwZXFFA1O-AyfdI1auR#plSYww^7sS4d z@h%6rI0(l2nc-hLJGdH^&TgGZ&#N*MUsg!eDRxO`=E(|~0NWcv;E$)`>!9>$^;Qq5 z)jk#{UDK0zFSlh!8e|m=;MUM(%kP=YcuXIhs%iS5aYRHmle|>aUqq`_Nsd^qliLM1Iul{n9aW-BTE5^(_Whbxm{^zSL zC68CQ&K}9%wUMDTJV&B~YTaWC(ZKfPJT@T|?EUG3>_V~InP!JtPqAj8D%()GV> z3CAegw^U{{3QEfd=1JcJsYk+S6B$P(tWF0_Gk32V3t zgPg&LI>##cfvQQ|z%!dkWd+*urTinP-V#REsB83S4>=zMV#`K|YENmiQK?b#ayKyTEpA;AzbR$o|4Fm)iQaqQ&~r6sC`h|E1DW5Qg)HYLI%{hs zdt>$f#m-d4(L+>^V#*7fblV>Pi+5)|$wC=$vM8`0RWx#vqKI=+6mc$WFJgmoz2aDe z-}skL!Hu{6Ww}w|(Z-KYvcBVr&$7&w)}v*Rz9eIn)K3jYCNkQtVc zrTE`-Lf83z6Qh&UA*yDzRJ%{pq5!;dQnk{mgKRk;cB}4fT=+*}D^ZutvR7Mhx1dr^ z`f?Rw>C4&hJb9(_8>h=t4AhY7|H6R*+>PTO|BHy3d$(n&@%r0y;@A;4~;p&6|$ zXF>Myxbi`4q>4n&yi*>{V0y=?ZziW zZT!%{d}%V!3WLT5zJ~e;;8`A8asbfI7deM-exE;o7pY*YS6s>R>ZKJ%)`!k?;bnFO z^?{T1NJZd01kJhpS#f@Y;Qpqgj4O{cxR+(-0AA8X(m?5*YyqYidvrT^5f;Nr^v}mA zdC%%8;tSPYL{`!Upi1ptkWjf@W>-_Cr%Zh*M>e7;1_#v2IXPWN2Dh36nv@WrNo_l! z95*T^6Jmc{3C;)1jCVp@v?*fycE}o7*`FGu21r%*31}@=o;N$y2!|NwuX0tsU-Mne zCsf4@RzoGFF;SNMK>S=aX>9ypG@3$`*M=kH{#-YXA*BaSRli+#RJ5kB5WMT33fGKI z`U?`YE3qIO?;+&!-qz(tg-f)OD4kRsdG@`U)xA))4%`ts#))5GdymyRkCj1AwnPP~16`NwGqfM%* z&VSZqlb#urHF>&qV}+8m9tSZmjl7L>&c zV3?hWiI{KYzX^5R{Hlm6UiC=TTz+fP<9~!H$M63zPWETM$4*DZBbq-z#-MI zQ3&uX8f)0KqCfs4O}S^i zRM5(S=S+#5j7heiAAptq)Ncg=`98`dz$X$+N}m}DOAA&Ka!2R&%~Unbk|OcRp`zAc zC+hk7FX=r?s@0fw7IHyxOD21w3|rz+@1vh#Cx*i^ynVtJg-yc&1_-TaW-Al$lrtUW z$z^;o&DKE%Oe`M+%h)l&Z`Kx;-PN#t*yGHJAU<+8Rc=$)5*(c$;=jOuq4p0N zU*D^O+M2Y~)Axm$Xfl-a5t~f>l&0_^5C60+BN;IR(X|;f61@@jvPtS+q6$I^%5V_* z<$+U~OA@`+y9NdBSo%POs}!EiIq}oAq~qRyCAgx((biQ^#7|=Wc;!8Nwk=W@m1#=n z93MyH?%DprhVT*b?16+fw+ZG#z?ok6E@1+Vta=B*RHE2nfUEY`OfZ8oV z^x4tVnIEhpDU4)QlKNiTpAw_@ib&><=M&)Y@0I0oL+PS-Xhvy>Sn{IaGIqH2thwI6 zdYbq}kO!=vXil^L<3bj98AD4e`?tGLB>;q&ilH|p0Fc)`oKmYXUTOWKe>MdTxv4a; z)$nHJekyFQ*IRn1$bGbp-=1>7(8a;hE)dQO1p&liA~Xl0q-;CNlJn%qqa4Qkqf8KR z-~~&_#kKqOi19w15+?v9X6Yv6E%AV(SKL{AC_B%wI8}tt-t*~= zhus{-A6B4`EMWVO&}p;=1>N-0+yu18ZUfo`JS1$^KzmBo1ULYBDyGxNgZ|wRNcKsB z$(fNVI`p*;-|IUign}k=<5bb*T-x{!Y@JHVO`=*t$#CjeU%U*0)bG@9+XE`!ChuK4 z+y+)AJ0TMubWA#36_2XP44V2`N%A?a2CEM|#VsDgI+^&zL{1zQY zMUnHeZS1$XY#b$NmC;DZ`Am6JYDT+^R%pRk$@DGpP5v z?^ex=RjWx2!EpCur*@l41BKy;i8{P(;zQHAbAtX>BC`v3ZBe59@ZJoTjzH_rbqFw6 zSz!V<7GDR;CUq*V^c@32{MIf|Xo0%X50J>IAiyq=IO8Qm?{Q6&o7d5__G6M`G3X_4p&Fd6xWEp! zWsti@7Zzh?iM#0Xfosv*MchR!^?2-~h zW9FR%(tJ#ob097i%q{I_X?%S@jQqzKEr=({wULLiUK=yk8kpAVQTEa{R{_}q!GFec z@h7sx`9+I`3jQ_MNIV`<(&Z?d#Xbzf{4QPGnwMn=_&hYIP#Y`C389G%)HZOlNK%44 z)L^$h9O@s@pDz~uTbo3&X9A_ktD$K^WIMc$Wf<`4E+Wv0$;WAy?A1pdUuxLsHE>UJ zjqao;CTBZ?X(&aaN1QdVvQ!n@_9H(PNTPotOZ=lT_WP&Z;LbVbQLhU&@3!lsmw>}~ z|FC%d&SV>~b`VD>lJHC!hQ6{J(smJs^!}W(-FF%Ma))J)B@wTQ>L3hE| zp8`x3Y;bq4Gg0R73|r85MQ$H}G9V=_!Qlw1#_=zZMVn0Xu*U^(k3njD4hN5fx-fh< zIh9mXM*Y`DHPv0ur+|WgM*NY;JA>|q)uH^w7q&9;!tiUe{V~6~=(uM(FxMQTIEyn% zE}9Zzig#$tx(M4&=9m|&2}J3YcT0YQeY!nWkO@aeZCr&F*MM#oM-8V1 zU^OmM5Whd#bKkZCO8@|sV=PNlU2gG*nbJpxB5NkL-8>qB`N6nih<0jC%`kX}6K|n= zg;WY2ASC?K^sdTsE^&axJ!XEVb^c|^`LD|fo^IN)588onphr7yjXeyWQ3DAe1k^*z zs6iUa#~P&1#;A6QE-zU$2z7TK%<*sTew{FUQe(BG>VHl$0I573&C4b5Nk310(oR3@pRU89+to zS+4@=gSRpf0h8$sHl@GNlqjJpx#_1)fhlAU#NQD&(XO3ngNLhZ>sc_8#p)(<2@QK6 zJsF)ge@4Qh#e9D!xh2%TpPxd2F0`kb6;V(g`9Uh{Zi$RrKLE3bKH}9h7QUK2z_cAV z5op8kvveQ-AXidM?l-3bApL!mWbh`&Z_XIS4TTKWDHB0egRfK;M-OL|IpZI6*|S}1 z*{C9u;VtL>K<+WgR@LNCsTiNxbHpYrj$Vn7K1jXL;CSKvQ;*iF9z7|)s*V|pm;1GV zc8IcmNK0zFtTH{7flR3V4KQM|l3mrn?NTBD?8{dsQf=mTv&WC{(R3#5*9t=R#O>Y6DI{t-8j9i5uCFjuO@Vc{I%viq zqL(NFR;kV`yoER8DdXWuwq2OoqQ!>b2+6`ZReu7WLyu&h_ThBNn!7_8kuwmDyF3f- z%8QhEQtUIkPUp+7d(csq9d_)hf7DPcCgnsZ+ly@@IuTxA^!Tq!#fEO42IoKY5G=0V zfrD$OiZ9^4^p_1x;*T-sa?cqf<~5U-9cG;gTl8z4%|cBSG1=>Bc&nkr9f!#Y?Js9y z46x|HA#$y%tY;iVHNqn16$*WZ%_is~(4xEnCz^*axF+DxFHlidd8F`_+M(E@qP3r4 zlL@fyaGpAxuiW(F5Pa%Dn^?Xj7pqYYR6R-pnn)D62%33=OPr|Pn)-K%))?LH{5aKd zH^7G_J-9dY!EhAyTflh|oQ0~^sU8x{&32bB8Vpch?FVV? z8cG8_1+3+}95W5J!ug2DkAscZhEMs2%|tQmBDl!r^@waFrMs5oobEk%k`}hou=4`X zIi3NoUnGx1>{)yxyJ#q*PWHSJLwIH-J_+IR;|V=NKFt}RUsB&&P6j2CtBf09 z6LCuX{R;&6Ku>%XwUW7WWK)T)AmE7f4l!Pz%JTD}bWq7YXgjO}D4D~Zd}|{B#2cm| zxMQDZ){mqjWXEr7aJY+-U*EcyKPn0t-OguvD8~oKyMSm(RL4#BHre<1_HmYF{Y zw(l~J(stkAUUnTK^65k|W@QHGgK0mh*P{Y~ZENV$pPjI^R6$w|9Ln32gZwB@kYSE4 z?T`_E_V`WzP9X*gG_|uJDQ-d28=`?AXjho=!a*B+j0B*k8=QA6py4Vd5smxJq#&6A&7mrD_Q$Zq0dHQJw_ez59 z@!U}q4}SY7ty!1iY2SFjteUsmQuIyI{o}|b5v1%03Q;Xrf^KWwl0{@Fk`XT_)0`M& z!4Mnf{Qp{C5IYXyn2dW{a1u9xl~mo@)wOX_<@?=X9}q0G~jK!spItg;)Ud# z+k{P~bFed49SsL7xIiVD2VECvV?z2~Q zpYxll!_OUoc1eALDVi8z7NF~Fj{+=K#uB2lRovAh!Y+Y9nfr@G`oO=vRrMh(Fc**z zKa4c6J_82YrH`{G1ko$h5@Sv8Q(92Hf8lGjVymx@P#sr6upg+OhrjSx4pl76?T`gj z?~GKygs9tp2(>9b9Hy%_89};V)rt%8GsfJTw0$p%j^grlgDoZ*JH5V|-{k=I-RHI{ z!awZqA+oJ^XC(-AE=$`;TGv7-OFGx_g2kUaAujT=$4#rky|@@OMEg+ojLdF2L<)Tx z5(3pK;1AKi8nUx87cpf2BwqXA(@#`2AZf#^rov?Num(4PnFT^9K*!GmHgRq2cMpIL z4ikO>36DYEPu^A-D%{B)KuXA=XoZa<$Zj|Jb=UH18`Xmv*fUAf#7!{^VMc56ojEr< z#T3%d&k!ke-aN_gT5BGOl1BA;*cM2c;1g$lPS`bf)L;k$E4CoR|{mA50;upSYoy3 zczIre3b@bUI*Eyr*GQc7$lt*pFrNZ^(R6_KS<_hyR$L_(N2eq=+0E%+eQ?S@pQcg_F zZY5uEnd3*VW)E2nCcVF5!~kv>5q_umQ*!f^`K912MiyzQ1GrFCGOiUS|0=!{AS|8- z8)^+Jqq`;?sZy#6S;VUu=lVRW)RlZLAmKF5>vclGYJ3ZxqS=pL-d=S7C58Y&N#C{i zk&D7vVI*MkO!GEEr7F+#7fiC%$Y@CH&sdc-La%(BuG5gd@xbsgUiC~jO|AxLQif1c zcsOvAY>?enaavq;c|6dMgZyKY48Hp~GM*`7^U;8U=Zu!I=+&_!(ZdB+DluUGiDgg2mBIsp zBS9gu=({O8XnB&Qe#GBHA6xow96ypd|C}&fBe8T3_M!pMJm#%|{dT}txXv$?*^iCT zsRew^;uYf6uY>Vy08WfME7>sa;eEzA@$zBk`A+@hO2=*$6&)bp2ibl9MI(>D2zzHb zoY)Z@krE3c$F_fBBj;3LCFhR;veK4%h5yXTpAILnG5Y1-8;?+_xHZrKWUC2sllz$t zbhrX5g8~a!8Sm~OJ(cM-1V9-%XigWmcIJv$D-WlFJd#1AWY~>nCaF%HnGE~oTxR9# ziSwtRS2k?ee>6DpjUJ}_0LeV2eLbF=e$U($9Ko{zRNMU|Ze5F4+`Z#A#~hbB>H*59 za57sXFjNYf3K}@0;FWp>G40Pvh z;&mOZ&4b*fvE5+USB6%GJR&?S*?Nl%xUz<*_3n2KS-rajCRz*rg?vSseplAJcMJ+) zC(s+sEO6*&fB}=6?5|u^@3;Yt&RCP|1aa~D9g-R z%$K>;`_wurA2DMt>nFfjPNn>HZe0o|nO#v>btfxBZqVsO zW%8yDDNC*m8O+zs``3=`odw_iu3nvA9en&n!;FEzg=>EEDtP5RWU%`PIQ+h%#{QpW zXz9MH4`byQV78_amaJAxC7*%zVqHnY{ih7acL7e%<1Q(!m8yx0Qd@~Wmh?L+PH>Bl z4iAexAKO>{sA57j>~S2>c)p+g3*>rbJ4YCj%eXTDw1WYNiQ?ZM&CpUv7O`ryG%oRs z%HqLz96w3UX>|LesH>6)P)+W7K^PbVgI?YDu>rx> zHeHXDfz&>I19bg;r^soa*W_c=`GpC(pbmWBS8C~vTc4QFV}kw`Kl<$@83Q7YY<^^P zrEl#+TM7J((!aOKahFr-;fSg%RQbBbI5o><`XF-h`-EK;`ybN4IpJj=TtT+E&!ea9 zh8+q*E0>YRw}(;=pp^7mA;xTjTd_%cm;S!+c3s+pLTOI8cadGg>^ef|^W9HQFU*Nv z)l~y6f#22)Q>T1}p}TM9rY9Vvgcx{9kc-+wI*^}_i$qY-LA6hOuO7tGcHf&EH+#!b z0by6EJKOMfvsUew)EOoL{g6dF!JEtl>cq;?Vun8j3#{a(S_bvXDRFdxFj-RIX9o;< zDmCI{BEcESBW3%=Yxn&_AMdr@pU)P$pX_m* z`iRmx^epFGevPqH`u6+PWk;j{2H%%IeF-J^qV?EchNNR7(nF>6ZB&yncl8oTX(CC~l*)R1iWWQrBbzh*afkYENT()z2~JVW<5124?117Sz*-YtiQI; z4bg_@1yKU3e!SW?pr2-B-L148oemN7QW7lBnlp$2*d^|7*sT#lz;{z~KG(@s6?W-I zp2||{a$CpCQhlRCz1vKy1$ORfP;T@7gmLB*r@6k{J(vvPO?W5ib_f{kr&MArW`l$pS>6ZxQqryaxD%am8A#@)k$ zdxwS>X>INovvMCnHXi$;&Eivg)ZRj~e?ELpWubqKSv&t#GkLHFZ*4y22{U@a{$p!0 zl26JavmP2>Eo@JqR5S#aS4}J`1M5i+t#XTL-Zw??s%(_ zSZ7m6*LPrX&UL)OT5z8mc=IVGVr{7Xgnn21jlnGfrv{d1Vqkp6L$F*Jj3@&r#Qw1N z{2afzbZOX~tNAPUesrJo`OkU< z;t~ham4~A)1Y#l!FWFfL~ekVAuiFV|!e*62z z|At<#_(T}an(k`fDH|mMej`+SAdnH?KSkC^naE%#>M%Mil>HUHhZ?Fd9~GBx$QQ z3mNpGY%x4$@nqD;2IuN4j(DG*Q6;gxqk#e$9sv zUhQao?=Kx@LZ@BG%$XN;6P&MoCphV(R~U9U-1m?7e2RnAXcNl}j6WT_yX$lPNs?Vi z*p+u=6sc)+!pMw0$VdvoGdX{Ee*)z678j46{;}@G{XU=Kam5!QRFk-klPcaH8a_zp zqN;i+FoDO=ftC{*+^PT|09T(FavGVDeQ_vO-Vjbc?wwyzIr3Y`mWxP3QS5YVjO}E! zH|SEOg1F%m)?=>^0x$$@FFo~7mmd6j`ZCcGM2xR#@+K}IaUEN>-ynC;LCn4Tz1bqS z*8)ST5Z5tPVLc5Zvf$v(7J6)d4>sqX;U(rr>G5h=HyC0wJ zKqB7^bXn~h4--Y2BllBE=tWrHsO%Uq1s$QbUKR>7K^}RkV80_qCwusOpZp3RH$nPz zaag)U!RTW3_g3olzHcSl`N<15p?Qu|=?pnyy{UN2HPIufpx}P^MVs;2fm&*lQ=n?l z4@*yqZG|>gnu_m(N7H(6OC7Vy3izr@s(`;W`1TUF%7+9}IAp=r#l}qwoIW8hM!vdH zMc!9QyKVzv@0d2$!2KEARvdi4Qprb8Z-2G?LQZIG?_jWzId7C?V_RLM{NZP|@097+ z3A^&X!!>=p$`sl;ZypSy!7idy&D`=xUaTj|Bq!WTXD@*7778rg18z#-Z!soNt{Y9y zgJU&s%adhO&5Mo(_IoV39u?BOUb7;pe7^o;^=4m`<|JIYo3AH*t0}4?>hx=-8|{9* zzIr@7A9EED>V7zH*+^bQov^T2jXj%uPd9xAEuw3SB}-TAP4%E0V8u3b84;Z;j zDyNKhOMW2_b3JdfT=*!xB1>b$997Mv zK`X=`;MRVw!IIW?^6OMh)bwg+q~vMlOS;#_hX8tNrxATEa)qp!CwfcvwB$1u;Z&Ua z?`qLZQK328pO)rA$`eR<;b`jYCpgv0a7BlR0Tr68hS zw^Ji^)aAH%|F5PO74C<=2?3va+03`%_4`IL=L_q#PdIvf;h#Jq^q0o}p9cmk#?jis zC&HokTPIIDe93%IKN71qEM$FKz)hU6?t5^N+M_{`%U*2)31WB zDQw*D#Ehgy{z)I$>$w(&uqyMQ&znb>Qu`@9!S>IWogX=e6cskAYi>x4zn7JCzCLq3 zr^V>^zh3gKfxsPyFHWulIpqA~G5M3~g~%6jY^k)BLkS6j_qTF$O$=40r!-P`w57AM zdr(IOswV#CZ(!a4iaGI&F9NTxvtWN|gK?SfNV}@n4w&LWz9_6#FnAoEI*A_d%eyVH z;6gN-6+Tbx?OxH~CPsPxEvI_U{Nf#ZH_;P0|4Qm$TtzZP>R;ttV_d-hUla>l&ZN8;TQy=#y}Z4G=c%hUvrb8}4NiC4oNNgL75okQ5Z9>JrjL4I3WucsFs z!~Dv)>XYWY6~HwPiA?Ni)@VU>U@nkQtozsycWwIq{Zw+^e^38t#znyE@Rdg6T^ii) zq6+I~S-b{4%bF&xz|$nTd7A&*yqM_UYA3eFCp>$q<~eEi6uJV}V2L*d$6b7J-LxAG z_)At@C9-xtQKaqG%ozW>vJ2w?&$qE7pFNvrZI9}D?`xnGO+PPOLudY6$$RY@RV0m= z!G3on@$7D&vFMvt!j?nA*CFaKW`JQ(g$|{z4F!BNhR_fy zQYwa0#87G;Z*Pd8=ZeNWToOeOH3lKMJLj&u*1bQRweBBq_D_55z1O?n^*nn&-}|lg zuJ`#P_C{J(5_6EI32oCSx3mS{BWe~DLR@n~F{9%1xXavJpOdd>mT42?LHwK~eyX*0 z>#Fm6zkb9Ho8R^ccTgKls{7~O;LzJt}#uz~FAEA0W<&ANCh^U zX6Pmx26de_P!5#Okokn0W2IKFe##nfANiQC=Mmo)^Q^7izs`OiDS;qyg#lVrl`smI zuuAgomR^BUF$!i-?h-93fi!F*!=fu0HsuSKm5Z+*tBe~b%wK=0FP=moQ?_p7qKOv1 zbjum?dD*OPmu&!kUDhU2h!W7c?9Su|;=3?=ciKUb5(KxyLY zUi6cVw==u-gn;VoV?8WJS4S^mdh!w5yzJZ=z%u2M^K= zUoF;dhOXKIbOAl>N*GxQ%p)zhEUVMvdvYe^2Y(c00w!ps? zA4<);^-K{th3n+My7J}6}XOuN-n=A&heuOC2L3bUw4`U;(@Ml-Ek8W); zju|*mhO5P^S($Td--U?n$^|Dy`r9m^Q}VE+ENwqQXT~7a6ryA{3q3##2 zkQeI$q`l%{CJ*&16*??X_L`Pmdc%EFaZnx6Vq%!lgt(py(o$44MDI6q16w+?1Xhvp=y7TC#`&^gW?(h4=%jZnvHwWS*$o+#kYIM3~S zo@3)2Exp7?23+~+r@q`~@j&#|io~8T^QV{utD(%nK{9RhF1=H<-q8J+HZ(MF_*|3l z(M``C?~Sc!#lDxzSd-=o5*TF5h1 z28Mcn;R2le$r1#crkjNpK9czWvOjkysw!kE8oo#~SrhXhB^9Vg>d4~~9buUQ# zhWLwrd`p`QI37D}{b5;2o7+D{l``25;4{peKdw4nl&yJDA} z=={-8T^hu6!;Z~!=p`lP{nNq^*-w)1_u{lRh2zEhs8#EocRtbL!@AOI<}$)9xcNM; z$MG9u;kX8Le}-LE#&&UcurKB1ZLmE1AjIKLp@~)YHO*RYcT-W^x9wAt(>GXVu*eZp z(R80VJMw##EQ?-}^(>Fao4ooIm7p6I$m5mAUDkg_A&kMXYcY92?TjLEh-{HXZ9n5x zl?}^QLFatXj6Ezet0IxxZAENZQb`A9#=Y-wv0dOt3tbndd&iI8%09y3yt1)TLmri&*wQ#dix=oWwAtJgMEms|G;V{1~IyvwklxD*37@1NMv9FT`>#1Q8>h9)CGUXVTV z(AbUkrGLCZMESy9ZH+d~rFrA9W*gJ0Tuy!GXoR2gRbT2YG$CylLp$9a6$Z;I#SB}B zP9w4Y(%iyEKl4k(mPrW2VLx+b!Wr;e&+w?pR}&eayy4Qkz7!{0n;7!!y0~F?H})UN8aIFpZj3Wn~aHZs2h*wAEp_ zt;spLrbf=-`f%xIW88ZqW50gC_kU02oTb@@O*rPTx>Mk^G71@mLJ?ccL8VSB_X=%^ zNPB7Nyn^bWqw11q$6s0CXE2epFDZs0>)c9D%RJDP7_#f_>vQEttd08%vCBW*vY|MY zPEYV?J1c|Sz=KM_UlO#Z2HkDPH-u<@Mj?^2;NQ+Nov<138T6PaO+gz6Yqmerxg0mO z*ONLpZqu>h&)Th9bcz?9h8vDbaX)3ApW^eOkzbx*D0;sih#Qc)X`;fkU zK?s)`TWytO6p#&ICdZoZRDj$AI5?7Y{X`iwYC5@G*Ci&!7p^A9p1}gDR9x-->VZDF zoa(av9-h~RI?A9XNJ)d_U=tUDlj`13rJ_^-#4n?c0$(ab6G;T_f$IRB#iY}Ik(~eg k;-3%wi4*bvg&;~S{b;W*XVko3NeVbnm(hPMy@Y-GFO+^a+yDRo literal 0 HcmV?d00001 diff --git a/Graphes/assets/graphe_6.png b/Graphes/assets/graphe_6.png new file mode 100644 index 0000000000000000000000000000000000000000..8ed4f966924c679b3e95db5caa2784ed8d51b926 GIT binary patch literal 54530 zcmd?PgBs z1iCM4EiSGiD=to>;_P5)ZEFDn$-GL`x~Hw)OPr~vMhixlfXi(v;>8ib<d#oyit`-Dhz+8Tmt^Wq=NECF)6sVDO52T9eb@ItejnNRhJmx+cx>F*7 zRe@tX!N*UBiNfz|NZC7-K{SOYmlgLxkLqZLzLA*2DFyn8`DH^)F*^M5u2sRb&2JQW>{Q~1hDbX;>t97v&?L#bT#Wu6a=vls8&JL9Z-Slf{ehK1 zDwU^bCVscqM6L+u=$@>u1VhI(D62+$a-+1PUqMo);Tv@|eot+gWdOzzsh1LK>HApx zW0W?U$07U%Zwc||57blGan!C_uCgtb1q~@Wyz#VNtp=9=5{8<`o1v{Yrn0X%UtMna z>KNUZ`{fY1>lq_QJvsteZ#9aLj%GZ7Uo4Z7eEc9@?M?4%(!;oi zrU|v$a8^RupkL3fw5{t{VILM=T9x?HcJOJ@pe7N16Qu&dEBHnUjbb<|XQrBnU%%`w=vsCk$tduDIct^ZaQfF4N7{&?}ZbTU5_x7)I)zME>8L=;YHc|3}|@b5uy@$ zv!L_V#zRNXpTPrURx4B}UcTp0LB=Y4DtvpqX$%jhS6CL}ITTpa+5Rdo{YLzYaP3if z4V+%il7AMr$aqB#x;KkD*xu^5)L-&u?X0`F2-7CwY=Qe?3G?(?H3J5-AnlAb<#Ejm zdl$Bo6PIGi}^h8!RNgv2m;7M=KbPecC~6a<9x~Qg#=4JY)=o*qy?rMYk+h zPOxS<^Jj5Q;FRgra&MS`_(cCXOJPyo?5D0zqgzp*Ig}rsyT6;P28m=2&X4cg1n&p>bF;=mqZ$?fmPP^uy?3V4omppfss;4~+sN1YZtg1|uBZYO(Q$sHZdo zL8^pJ&eH~x_z0a2vJS=$><*z0!j8wwW~R8WBu1c9@eQ(Z48jj%H6(PUrzHiH>g2X* z{Adc}6nh3&X`H!r#Ml{<-+H`_jVpcoK2Aja(ZeK&vK)h?OsbNO)RdHUp8f|{6=C)2 zf^iLp7Zkiv0gqh|Cn`~zgoOjoSkz|<-3|A$r={KO+@89Xct_TW z`F*;=IVIfo_^~kj{1HnUHCt+uw4Pkyhj%$bS$@OD&-q^*J_>o@@`(A-_M?&)4SDLD zNv=44bd3Rqaw70%g@cj2=epL;yq9T}yeyA!ZRSUIzneaPJreoj+n8=nwfaubxQpG} zFNyA1UsQYo&ouYcr(?-T+cR1%&`D3oW=O3_DFq}bZ74I9l9XNz+P~9$XK!F1@DWS#hML&HzC;@TjAMpjv42+k_DG63A8tcVTF<4E{NRliT@ZLu`~f$;9JZOqGw#8AL{EPVj$IdiP96LnT-9I5h@~q&yE@^1rvkrgUB108#}qyxxrFHWOJNXiBXMFJr=orc3NRO z+7qEA10_atvvcP5)%Nf9iT6M4@60)ryG^R@GVY#GfpK5PKA}>iq86GHJP|zixm{aZ zOx&v;-MJ*);mYBf=@LA9e6sH2aAbdOa+!B!duDykd%AY5c_nY>`v)+xu@jWU+hmRzp_zdWBX{x=YCx;+E6Y5}aLvPD88-*%cn8r0^VV zGF&m-=AnEF`O)#?-6x}qxEnct37LO2NPl+ z+Y&<^HlTwJ`o>kp`$63zsJ}JT^HdpF>Z*rrmOe;c&>iKBcjl6m>fID;Yx|aWe9Eg@ z?IUP?8zmBZRlB<}pT8xqmt4y>QmvcWZIy?!}^k4oXI(r9hG_uTo>hD!!oV%^H{%6*Y^9kGYh@}epzQ(Ypti@q~Vb} zZ|b((=1x;j_poKL?ZU-z`S`qfsRWii&86e5)jL(^a{FRbW7+t}eHs=$hcLEYmBf=l zsri&&H2J)k{j~EjSNUru##5JD+uf7qLRwonKyMb&@m^UmYf$md z>Cq7@rlHU8pNcqa-`{RH?!FKaFqAR!-Dkd1-x)gPurs8(={qP*+IO0xEHy9nHsbKg z{cYK;m;7}=NL2`Tey!>Hrs*R1HvDt!ZtR9Iqrdl=*EY#Waz*JEBl6}@zxs*vnHiR~ zz6-zi$fPRvb|XlhjVK^p0?_>$hrAfAJ>2X2s(aSgco)jr)#1B5e4rOge15JZH+8kB zE%SCDZBajOOpxj$(6S&%!272$`DEYe-qS>>5TD=ye4|n4(UxYevCN<0HQ||oYGbJP zg??i_)edG;&5Hz*3Q(klwydS1B8VBdMhAhB9)M7RE5tX#NaX*ymO_GoQ10#{gFxZd zAn@PcC;^{{zc;`e@ywr3l(%7^d%%ALz}qtm`JZ2-z_L*Oxkg$9z5|J>i_6LapXz4L z78dp{&mCM%vU@mz8yJoju&?tbEGBSfdIs6r#|;A}zjn4OcI zlTH|uhK5Ga+1ye0|IbSH zE`N^&9FPO?4F?xHC&zzi1CI(K?h2?_ds^7)NLbqeJOkDce#Flyc=!AN-#7oW;=i8M z{+}oLIr;znMGD5~3QONV|=% zTqv~sH!cgm)j0-(WI$k;GrAi)V`*$~$W0(?6QcyHG4-=%O3`m+6ZL(cp^SiN;tS?90{W zWM|}~9{INV-GXdE5o4a&AMw5iSgkCUd&mBk_xOjX(o_p&8^e{m7eU>-ohPV#$CJOY zr5_umggEVb;93d!TE;qdNZNOBm2SA%5^zc4TxlWJa3@57PU_aHB$-1u)Y%hueg`&=t!T2{zcu}Kz z!Adbpo*y7qZ#%3oNxG5`1>A3A8ued`1-~OE5b+caTLCMnC2(ryQ)(vsB7OG^wL97@ zP7)RG2g2^M!T{d?7`A-z5TQ?pg2<2u5XwH42Uw(5G*6hE6au+pR=oUU%|v=AsXZE0 ztA=&k;NH4wb+l$@%QcjZMBPvuTd!9UULu`8z9cdGXM4lUq zrI%lLwtYjEVl+~$Rg90lD@7xoztvU$q?oy?pr+r5v3vxT_oyx z=LD1u0ZhKhkcV8=USYtO@V^ucH$x0V)N<&J`r|sB(PX zPh-*@V-{2k3J_ulKnKSI{)F>fv62`eBRBjk{_G3m#cR$YMtV|dT7?f>+_22H{0D4I zDdRlkY|IeaCfL&e|IAec26tWB)nK2;!!^0?q4xON@q?GXt`%&GC z<{%3oAZy(S$76;-Z-h5r(}k2ni#PAlD&QJ5O$!h{;3Iqn@6@Qz$yZ={J3x`tKV>%6{skoJa$X z@*)vnNb!ErI3qG$84HGrZy8UQIY={}HkzH3ik`>y`)9SjfqeQd7Et1K`E>9Ql9(!qtu|2B4DY%!IV9>Y*oG<1r`R zk33&dBBqL-+&o{HnT!>g>_~iX{KUGF*XGGWv+6Q zrISCXTHPsj&Kf1>48Ja6P~ zxu*&OcPgs#4#6ZBqemUz#q3)f_0uTbiqTTkR zECB@u`~nl4mOJoei9n!QnJNWG(e=cPi;1PzRMJPP>9(GT0i64jBdd99c%1J=nM!w$ zBYCL>pG)8F8EKOvuNyq(Ko6DU75+r{JHrjR)0SEawNERuDU%*Sm>fzISm9)O6^ig8 z8rXoW-N%J$H7c_D7bQBkGZSPuT}bBYlc-m+Meb zHj8zUA$Xl-jFhJN5e}{MT4X*kNl{a7dk!}Cpc=Q!dCAH`u1CgSrj1 zopdrH`n_GYhJK8J&iCoD_&)#DDkws$W=RI*?zBoW06A2W^gxv12Ez{oP5PeNT1YTJ zWGT^kQR^e_{=2Z0RY=5v4L!`t+e9<=eXUFP{>@Hv-KU?w*Nk*YD!h2le~RTj(lYff z99kUpmP1}+=xQW@723Mq;m$EBICB29yTr+zf??wwqJG2c=uKt}1PUwT5}zc@#ymBn z-`BbIp$Xp%CqbEtOcsQr9zU-0rjIf+lX-HJ8%mGA>Z8ZpKS)fzpm6R5=8J);RTOlCX~t{TjU2JGuBs_vQ+W_ zygDA3D4-Ludj0MlvCVUEuG*56`A^f(%d18ogU6-f2Tf54?S6x8$RcHtWj|3d%~X_R zvou0#sqVmMI)EA~beyl=-Dv<4l2O)u@r(=Pd^L8%Xd&6wd>eny$>$Gsqyie=Yu4bf z8``q)j6Qa`jv2T=TRqh(YO}ljNJKkRlc+B6S{52((xq4Kwyoj^EalvT|5k00P-QoLc`|D1Du|Gj~lw&A%4)=TBwv2QiR{#Ih7a{v(JJM zA6*#{fXwu=KQ2T977b6tGhXwobH|2*hR34Vjf!H`l;YGFc8T#%?kQ%S0l$_9oy)RNoZS!IN zVC2wpX#et9WZcGIMDrQ&KXRx0uPyJQ8{kOs+Xl50e3Y_M=Gr#9b9NucwQV!I9!%r% zwk=)={}kd^TFm&1^V|sEz(4K(`o4RoRdZmN*xSuYJf`!*CFZVsq}GzXMc3@D&2NYa zF!6Qeaas+XiAxNwkDi1LMG9fu-o8Kucvr0qsQ%fxHVXt$eM#`x?R3Kx_A z2I>kY)iG#F3SNIGoFZI<-*}H&sm*yLYK0h`sMZ}Rueww5syPb2GSf^cm6XTq#9(9a876aZMu*~LeO*c^hdJ*dgYPm5bacR}2G}Ni zcz72nXyN$C2FpR~IxSA5&@fuX4_sGV536Z3d`$?tb<+>Cu~t+g2y|6oO4=x)6aV1S za9|IPXL3A5h&^EAXMvoOAQXZj{Mq#r=vOG{NnXCvNbNR3v(L%0L-SCWL##t|xH1vA z5W-fG0SfwakZ6EN%VUMnJ0ieAKqgji1cTR7$D*twsE;XPe$_xC6SE%aO27n39n@my zmnAS>yld%>TF(2#pyc`PuQU&VECB2<^yn^GoWw)IgrIfvpdJZ!VA$lAW#w{cBsum! z>S!pLCYQYTG!(<2Mu3ZZ+?+aw?4?@l3c8ez5=it;F355KM9w1rXnhBfr7%eRDiSdzJW{5Pyh<`E3 zHE@^GegWc%h0V=R8$^IahalBCUyef}-#+QVLmO1iiCy+YTPR(e{93SBW?Kw$`dLLB zw0KA!oANHIb$@_=A+VerdTyF$qeUnoM=4e3^Jx%+=8pMrY&<}F0~LP|+-Ywv7={hg ze9oIaL$Z?>z3hqE9j#>|VA}OD&q+AgWy*Knxi;fk5rz!?%(>RGu7`BavgjXrKTn0p zE?Z@?%?;y(PW6OFg7iY^d+YW=k;w=;?MS2(hp>7UWUe-HVk!48ldhrwP8rR!!_crgX{g7w1su1+ zbg9}HzE;>?hN80c59ok%pz~vPuRbuzFE%NV&4yX+waS=`M6aMx@SJsgO&NY?W5aDN zu0Gz0un`($A|UrrqaFSeIyHEZB8hZ0V482sQaG`>44OYw>ZB{?+uHljCs8TsPM@&; zm@^AqXXD;zy{ShaH@3^C#m%`+To}(QUuE=1wPF`!G>1X{Z=+= zsp(bv1l!RilsLRkYqy%OX#WChyv*S}qjA2|L~ELu7RQ1vUDPY(XLn_fAMAk1PS5ET z-=XWr${*Q|p$MQ5<@fFJsxn1&fGa{h*{!866whqhd;v z2tr+vo5{EQAAGpb^e8D${Y{kU;`;SYTsa3b_l0xCVqQWX~F6<32 zh;9#t$mz5)hPB;}e(!Gg|N7q1l?2DN}``B#y$P5BMh5s!{GJM_eGA`6zG>0OG` zyA%j7@EwqjR`AT8YTRL1L*%MVek3llsa7O;qg#ABB%LpYK9o62Wue>K8P{W)#EV!7 z_gP`Gm!(zc#8F{{un32TmE}9I?WSgp zg`cUoL`l}2>s9?O@N%qm-q+M~JXn_46z&4~LRD_F8B|7M!I2)v(VZd}d`elKc6+ep z2;E~n-}NidCNpBg0DFL%P{ruetPO-mgcIRAmO~v6a!&I|ecnnf3YaP5q)wEdP7=QS zgc^ZQY~8P4|DyNhuXk&B!D{eDU)Y0SREttC^tZ9iw@H#QRD7k?V`2rb=>nHWM_~w) zu2uxZ{N-G$@J`I9gokFz#=N~aIJyrW29RCjzjV7cRlezksK^S(${j<*w&Z(OLs<<& z^Cd}k2!ilT1AKS$D+irdK9BRL82$;Y##(@DoFbYjl0*QS78mr3a%fLcVyJdcOtiK? z#k2XP`Df8WTXRXko{3%QT{IJ{BeIu#lG0Pk1ofL(U%z0+lcX9U>!wv{7-ZK`@_qi` zu1t}Ppvp*IY;i}G2czh}Qm_mhRxWP+scQUJNzgW><$Y%+&2yov z_%rU#OhL1x+D{MrW*bbV%DJ>iLM0yn2@ku)i8tC~zdNkRD+wsihcD_;f0MPW zQ*bA~OHXDZ{L`S@k|fBz;)UckEfmo#b^A5)(->x73CT5Bt{Y!tVqQCB5tU zFOK!Xi=N(@Y9ay>9%GOEM8vl&Rxpi{rkV1aT9&8I3&#bL1okF#@ml>mQ}cDu9fRP$ z_0WWN_Vfvl1;NaLC{x*~hVdx12}H&UH%62Y-FF^2-31C{B$2aKBvaux;}e~}Rn>{6 z%A_aXHKQ*J$~tqjTe$3|>OELbFF$@;uMTA!S4N11rT~aEL3J)^U+*AwV2fEf)aZ9F zCRs;jhUqRwg=O_uy_yn#tDupG88^0uc(6+%^AiEL_3sVaTpWMplZGhej?NTzB6ifG zjt&POb}p3qyuJJc@j0F*S3(cj#`7WgWV_pIR@re=fh)y|N>X|=n-O~MreppxR#Np@ zCj0Ym>!+k_es>C+26S80T=YJp-qGVhUtDV@_2D*4Z58bkMPFrt_S;xjUr2Uk{?zU{ zan}a}ci4XQJ>%nRPiTy3Bo?>uaX6T#d_TjpxqVku!3(sb0sIO!o*Nc|N$B^H>Qu`2 zG1wpld~eg=aeX*G1-#ZzncunI^h7a2UT=;3{Rg?*+mpl({q4;=+6D%QU+%d@(RdmW zCqS*YDiM78L5v8G)5^tC2*u8nHRe4tcWhBxpg9Y1Qzl*c{7bOp=_Qqv3!7?ax|!8c%zy_bLLsr@c@pFL#o~Y5rY-`j$k%_WMrc+`DZVG`nR!dC z;u@6_v6-^=IaqXa49}-Rz|Z_Rr#k#p3*a^KTfNuiB2~ z<%zdMUc?25vyMzzEOm8_$-CX5C^{8A1dy>2seXXiswZ>c$F9r_OTW1G{5q)H7>O@V z+*@*TN!ng{c1CB?)UJjS`=~RX6zWihze(4Nw}8)3v@aySGeR5mMahLRq07oi!sdNh z%I!=ID+Ou$7vH$Q+UvUe_IKuSu4v!v>YNx${*y2&0>`PYE!DkC7$F!5`uQnJ{5%1Z zgyTY97sCzXNr3&oh!XNLT{y-%NfJ$4n*C+cH(zhH1mMI59FsAhtSeSw<$i;|B6|!J zAS_&Ff8Oa8IvNss!dM-2A=y+}KmZRCTL<-fM(T469(&e@J3?nwlC>p*KprOJv=t_D*`pJ@T-v+^maEBb6)T_I z&i_Xfuo0{)kJY`a=m{#d#0sT~?)EMkbYu#a%|gtSb=mxv*0u|MjxTnp{g{h`iD|~g zd!bsa-s`(7#97i>J2H1C%|b&oOzVp~Y{wSY8G_O?{tUeII$nB{#Pf5NqY5+(ljeD%Q{6 ztin}sQMq`Rx}@YAj*_;si`M=$91HLfMpqH18wQv!J5vCO=R$rIy-n~iBQtg~tjpGu z(kGbAr@~Smi-jd3H`QtD?P&7LGR`8nzYs(VOY&4@e0U@qaWHT?U@c|m%9SJlnnF5Z zyI<>6Bhu=uCd0@k!eyVT$2agsli&L+NHR7HMjs+q(EOXoL z==v&$oP5IToE`ivTvO&F+u1QoiE-}4tQy3y-u|T87$Mezf7yPEJ#7n#hc;owR|lPA z+~20D)J>H)hXyRHgXv!QSmzW~J)sjB=~}x#$xa07StUFQXu51wvSg9T$YWgvuiVW?!SIwv(AMHS!dzo%7c3XGa4 zBYN9sc@z@rbIs~}JC*}~A{jVBW*f-uyr2e~Okp9ijsE#lR|1vX<|bCZ4?v}pc7RuK zpNX+)1hng!bXE$f=gKJN5j1)r0N$&AJ*9cObO2DUZtD-J*D1*DqvOb^n4CG#`?>nC z#&geSb-DVed+&yWrYi+Kp!{)B6v2xZVy#{5QD^7rUq9MyYObpJ7dz4f^l@ zM7$tbpyH8o{Xqx7_uzn*c)H;C52e)jWlR*rVjLAJSM<^7pE9S`?7*}qH9OH`QVS!6 z);-V@v<1xO6RG=e_kVNOyS2CVjIU8Xc~L$wU$*%w-f?HUtCk6ime+yCOu0;R0;Zym z^o5+E9AEPIjN?vmH%}YyOA~omSq!YIa{1ecE0TZ>`&D8`7 z+Q7KUcw{_LzZDh74;TI??PfnwDLBNl1RqLdx*i=Lw10PK@*$C4$PxQa@GXz6s>+

q+0p3L@B9`RJPSgj(ooJ-D86>VuZAxD#{X-1;mox0lPSWZBBF`bRxCQy zd{xJc7MUHaVlEq0EMZMQ7I?tg`o_CchF^1hCAYH6zZSHA9>(Qd>*9?4xn(iJaSWO|^jcUZ~j!w#Jpe4A;9I6$0Bc6}|Bv-no( z-J>BeN>V+pkqWg~vM$H>oCobOMaH}PP5CaU;FS}y{=BsZlIR_HsG>dX5mptP43c6n z%DqZ4(Z5Na7j^?Th7Fs@`3*hdeB7L&D9KIa=ZJwT5f4i(G3_Dt%dWdD?-| zDaYa83{5YG1?`DP9Kl#yMPJji5|ym@(uU%Aa6^qR1S4>v5~f^OjBlE1N^lzI+g`sW zwzqdroYNY8;3A9|{iv#ad1;Hz2;}(}_gIYQkND;*&{<(iVQBr<#fr~eVuwo+m;?wQ zNdV*>Jf0W@*o!O{;KbB4W=?g`gG(zU#i^E|u$VvfHD%H48J`@gyRL>VE$LY+ofF7S z{fwPmyYFYh7;RI#e2F%HDl;ZQP3(756W3y~E>0`SCCrD9<%kJ`I~gRh)d*NjYLZpU zLUcSjF-RgvB1xNZuwK>^l_SshFIFFa564q_7-itwNf(ZrJ~6VK*}C=VPv;MeDDOL- zEAarKsQ?ct5(ll7W2G~Ncluzt0~TZD)DU6z0dxI)j9rOS67VvcXOep2$m4Nn8Wsm| zgE(;y2fdA(3|?_ZhK$94K8+%na0Ytzb&|_Wo9>A=8(5yU9S0vJ+qkNt2EThz94o5w zLzdL5@W=yvjSAe>whG-?i%PmsWQ*s+Z{PcwdTD#*d>o{SnxKW)*?#3L;{Ruw0im6{ zzeaZf_I*MF6VQq8)Lt9M+;!5V8d(#Ybx7$8X#v}yX`PtzY5 zz9N9N&Wj8f0x>Zf3=@1#nc9wZgcAMLn3uFuhJ*vHXLK)0X!teK5gwUpjT`Tx#Y+zT zCLD48pHlSWs8O=?!E>~98EYYA6`I9V0dN+~pbe}iDp|at=VH%%A_;XLlXky-pDsQ} zz~8~fp@W{oG&^n?m)p%&(cG=0MLK!AnYqIt8+dHop|;>><5iOvT5tTW^;ZtwLx{-# z#zl#MBtl(jOZjDU^n+y&N5R)|3#f)E7qewdB0W^Uaa(n1;NEW%cWAoWWmFqT=vSVN zCz4||1LF~uFTYo`eLnCaenwI2aM_Cy@#=~BWn^0T12#jxYkw;PCqR|yJR7lxdS1us zZGW@q8&IfU^sIX$c^%s(H~MA1e)F!84NMjwrmgbHbFBeA+@(Nju&h_mciqWZTYbQa zN>6J2BwI3cp>jeYw+zN>dG$FQwiQA?!4-XvOD*rwqM(^p=8PwY>jrX{MyD&1OHzVP zpKwOiO-INYQH!+p2GQ4zp#m3={{(jY~qNAC*$W`APm} z@y0+!0^{t~`V7DxGYSEv+f^|t(SiZ@$vQkyI67FHWco0g7tXp!yyqb+JmeukgcziK zQ=T3Ia^E9I!f~aCXPgwsyTje7{e})r;7Yp+_NO$%|=tx(g@2GT*zNc{OXq)lSkr;B!=y zytq9UW!8KwsAN}^IIao*W=ayzEo}Lu_2Tj0qK0Z_5+ zZS#KH_;P4W0;sU*F2Ckm;&vZ?nI?t6ym)~D1b`GbyR4@XQdABgCWwp|ZIHn=Za_)z zg-F%;9@RTnv6?M@_(_y%(O?IdBpJPIAa!O^DTICRpMJz_AIa=O;f#_LbxqR|&^6%S)qhrc1>c6{xThEbj=;pY^R^}x5 z_(SMi_j000c)Z7^~qz^<5UG!nyV?2%l4_XCM z3Xw4U-z<8&z0+<0F0XX;3c6OOHypujI87Scv#ykcFlJnAMPlC^iAT|mFRw1#9+YKe zRC=n%W91q7lsZ!$w7w<_7YiJTEyrFd?F)AsM9!#;5S6W5T>e=Vx=l`_B%tbeq+Pza z%ma?(N^!HS85>Vl-V3d^X_a7aa{2W_r(%L!^Rh{go@p7L~eMI z*Oc|DvRegf9zV+=3SJY(gG$OrQnNOXS#5my$m()U9P+J(WwS@_@QBB1AUJA z?=wS2B`aQ64H%A6&uWNBgBB-AJupQ3R@$%78Z=@lgr4aj-hhU(N$+_1S;B0+gsC8| zeX~?F>t_y6fPWt_>aEJurAmT&s$joR#W~wRP!&>^iII8KALeIDT$&gw;(V%MTEIa4 z#CKA#V?E>zk;0$e4NVH*eS&Ho(yD)?-W6m0S#VrSN&bp)_2IGO@=txN(*j z;|I4N+1jRugOU${?I1=QZ9@9A7$2a@8OUZeAUU;p!-_(WDagBBKCWZ33rn<0Y9w(G z>xaO-Hs(&TAT{lb%@?!BeLcwTyI}utR^uMuF8+TSFUE*qvfgApjtC|S#yRGqCilN> z;^?YmGOF0$4!x9;D&?{XyjJhV!h^~1_Pcf@K8L_qCpYy}U@BiaJF(hwo{QF6rIIsZ zebXZ^%bKNjchhio3^t4FmN`Ju$UTrsTmJBWJH98niF2d5C|MW3Q8r^4aRkc`^uAtn zOx{6LeYPJL+lAvl#`c)|D%);^G}5dD1d^z%04tBQbEI1ahkoz&tpWw4P%_=s$&`rZ>5b?)%-6jbPvkh!Qy1RexFO z#%EYq2FnwC3MY}0HrONlKy4o`V?7z3MoZ*uVJdOY=KXMxGu3h)Ic2z>$5BvOPm3bU zwQXcv%Bf0rWK6+RFw`4H`#4_6lLf89_Z(QK?{LOmWdd6+r@ELSUu*(t+rP?b|8DDhp)yxMfw zck-lPzT;?cuXad~B#6^kcL^NHFBP{JIT3QGX1Fg!E9TRoD)^o_K{&d2hE}EQ1FJz5 zyPwtN6dBgn>huY0lH&GGjaC2&6~KqYVrySv^g*@sQLipilW81PHdX&x_Zz^vk!$VJ zssQVDC+t}a>ribz}W^fK=#gd!fb`V*II6yxq518_F* z^pz8DCTA4iaOP12fESZ_jjD0^L^Lq`{k+X5NQ9R8wl5rQ6W$b0%e`8Nz@E@s+B4E z0H5@|m>&r{^X)V_tje<^A04N2{2YwdZ54)ZEb@&siL0ZmN-)x7>Kph}?{9Pfnranh zo2Ni+H1Gu-$ZOG5=_c~n_4GlfY}bdw`nlKThVJJwzw9!i~+?)sS{*P~>QP6j;cbkG5R z3j14J`?qN%yaE~25!0%KaT$gcPWZtHH4{HxPuRaGB2b31bY*hdOwdM03z_(xoyvwo zp9g-5sunH6Kv}MI?E9ww8?~HICyHXrBPhs;z9_iD(5VdyVfn7COMGhP+3bkI{Jq)W zv&8QX$j?9B92!zYEGbt`%Lh8Lq3E2%j8Vd`NVfIxpg`E-pSLS9#Nagkz&=f@)LtDG zO6C=F1WUJ8KvwCYG2pJSvq;hOwCzXj3ZI!~b>FTk^dS%nt59(@Q|=KzTz%8a0)*&( z<>c4r1wQ9~TF?CH#jJR2MjZZz3~?Z22?hDMl=ZzTkS$AjqY z!(^u@RI*&@*wl%6!v<((Wt^rAlheYJJ^+P3*oqWCs$rb}jjcvR?R87RcT8jOXSh>^ z3&{M5#Eb6%I0=kkzBai91;;d>iDq`+1UP1EUlK{(1>44qshkuniDD{omixZnvgn>> zER#lkskpuj>9d{oDrY#j27YD~9B_TH%+TCmera9f`dX-Lwk3dzfBsE&pSY-$_ zd+qj7!-k9Gkb34uMIalyHriCnNIzPb&xGHh-p1oEX_vbXn@1o1(fn;hg5Bton~F%V zX@CLyvnMw^(Ioccl4M<};iM1spUW^WpW4*Ge?ZjAQWp8D>^UQZ!gU$FYE0Is zmFPgitC2A8o(dwNA66!icltyGCaQT`hN4%M=vFFJiFra`muJy=t^!x7ojQx}pl92Qv<%W1LTV9oGH zje8MTTN&wJG7~Lk()BAWqmLB6iIshpIHNAx+yN#+F0hEho)WV?gfJ?ltVT+byn~5O zFHr2uimJgm1v^nt6$+YK8-Vt?R1$k>ZhIRWTcl?gJ{`b>`zg1X~0PIUefY~DL2?vFERLjODyBCQ`Z(=d^%A) z@S`G+mVYk^>82RfS9;^=)J!qfnA+r_;;wOu!o)riK+NYdKOwzy_p4W{)3m%&IRkNb z$m$+ep(*ht12M>V6gimQE7PN{j@NaiDbsi5mERAc-SO15XDtB2kR{^Rp(QVH z_GG+t$iiRpGTya3HHumS@6W&A@?Y?gLpFbX%hgp}WYCy;B^rs=JYFrZEZlCI@UFL( zaojN1x%aOd!wRZRvOas8e2{yHE4`G(x@aJj*s**@6lp16#HulZH?e#srP-?^wzjIu z#nD`dA`^$)mfkCzv)6m!*0Ua?c$Okcwt|;0ponXn+zM4w zK<>y~sN~@eCnwyor!Xi>MoOPK^EP{bgY=-<$(6*Hmyv~E^ zY(JXcD}k@irCIyggjQHcR-Y2=fioKnAzm4(v% za#SgbZWb)~f~M=F=X&;B_M-gKOX;D&m_n?!IO+ng!_Ns%ers-_#B?3nwHxR3mg0RO1+(xO7k1d(+YvL1r6M1 zh&(yWZ|>*QwCKaA8vKha#vQ%MC+urKb3vv51sa}rETf_^Val; zwmB63s+VWS0rq-)g$~*#YEED5=w5pcwZ?2Jeqo267irfN(B6nWs4Sm5v^+a;q?hNJ zA&tT5?yc_R&nX?24UXMrv0&8ONqTlVwgpf(!jRSXeh(a+9pAg3=`V#zq*4JWKDHH- z(T<9+>Upzg7dP)vb2EXN#lUPVs_b_W{ZX0G;mF#97it(;M_Ch%NJ=>CZz}dDqLx|G zsh(PwBaYfuYnV^EiB4qQETV?VZ31+(1tTFrxq8tpjtq{R)Y|H|GoXCUNs}aMc6QLV zZ*}}FVn#TxO*Z{L4TR_3BP}z0y645EkN*uDLO|V%D_4#Ir#<@)#H-9IO93lu&dlEd z=cd4=;6*k>-@BO{!t%J`!a5mqow5|>IxT1Uzq?o7rK3_bG#)XyG5++)#w^j@ZGpvj zfAps&Iozkf_*GK#mCB@%lhATNz06ZBeSp6udlI$LS{#yp_?))Y={7vz5n{W|ARjGA@(Id zlEG7!x=|DkqZwi!{YvCP()W$C!=+{ysG=14vIpd}-cyz{HjfGr861J6(mFx#^;!H% zq8j@0tFp{*-j#jrkx*up%sAtsaA{R&JjgU8oQev5wKQ6EkZ&~9jA9x-{Xe_dmBO z24`J{b&{OC>ouT?qH|GG3UA}!u-6LOoCtM4b9d9e=$}91FyxPp`$OY?eCjsnp4i(- z#TlpH(56G~KH1%O3FYUN!ZKIov6>`KqI;NjI zL13g)6Wrf34vsLMJ4%4e0=$sa3B~KBc;5ZSP|$kK)-GahRQs2+YZJ1lGNUr0dL<$v zR$77ZY!4%b~qH`m0IUB5pCpS;oi@@c7dr>@o9mAhlhd57c1Ug*KgCIZuaY` zB~0e|MkNBKywgwXexuHPbh(@ClCHboMUOP{o)U^s*pHOKy|l5)B39!4T`~Y@QiXQF zS1!NJ8;}JfoDTqa^8Wmr3ZbvJULV2*X|n}sBs|L#Tx`|e(Oz15V}%(mqcZQ_XW=Hj zj8F=z-$+(2Xom!=X5`M_DRT&?_4*QbxTq|k^NfPMmI`TLzy}6RD0REjHt?7{0jT-A zeBc^*<_16)YX83N*EZj(CMj#I)HVIIaD6Z8{3A*JNmn?xD$Z-asJ)!d=ji^9lWN6P zExh- z4O8}TcpbW&)vn*|Y%uryJO}SX!hVE+PvDe(mzi_=5F*12olOA|><~3+Xa~QRK~hAM z-b!U@<+E?Pt`6dV@TMWdz31YpHzj=MtPEb(p8F_MTF_0$t-n(XiTLj5Ms#7qComyd zjGSZpitL3TIkJjUVsDqX^@NlQKu>6ppX}QSuo28<4rz>#h}Ff6rcOzQqT3o28_-(- zFuluvEU`q-bqsN+2a|ORd;JPju`ivF%?A2_|s)&Gc}5zw1Zdb9OGggtl~psg3_`lEe)a)pkS-2Aaok~;_I9n*48Q}utPksy6xe=f)fD}zY^8WsvqY03_ z=sbYaM@vZV4Yvd-$e<5$^3Ijf7iTL|Mm6FNX693>U$;!WXwjjR4ZcOL!2Vsy>|jm- zGp+ZYYQjwWIseS>V&b+i{1!_%udNEPwe993go*iHg2(^ zRqe-J^5@>zV1V7((RkoxKDasG0E>bdVf#G7g?(+Ib#et8GSAkOl8ev`YZ**2+`V_j zP0VWQZZqymRJmwnjbDB4NP6xhGsn6*uL%=rUh)YC$B<;CpX9SVf)Ce;LuL# zP4=MI&;15KjYJT)iTY25=(!$tC{rPmgzLR{Pw^7A;lTWPzq1DbSp@A(yb4K5NeO)Y zQ_^>4MehQ4z!w5ybxWAIb;tg8?dk)~Uxq!@fzgbYUCN|uB%UCoT$vZ1f2x>0R&zIh zl;pHj@BE|q>)a!4Ls^I013q)Pw6>3g)$gAITjeLKfU%N873oibLI|?e`qfVi!An6= z2?BB`m|uliRz)|IyS_3ge#5c-LV9!C?;i;J?24wPr@F*=Sm%bVVTM4h!(3NVn)I1a zfj;tBK>I2ZL9p114<>x{RQSV)>=Bk>jUaQrk0rjy)cqEDk+?mp{%FKv zMX3k7yc%U%Z4wfD$-e5%Mf!;^9>`KnkcGL2;+X#ftrY?<8g0NV& z4Ep2g>lyTh<-f?ec%7&obw$DA*VupbCbWjK<1-oW+~jYkM;*`oP!yrSXc!s6xqqzT zuGI$8BB`vx@U7kHZ@qX>NC(HzXASuK{{j{oSO-#O@HQ6&sYz1SF9WuhCL>RR9)7tP zTD$&Mfs&)v;Xw@cRfC=0+Y=`EW0e=%!E_pmB3^%d+keeAC_PwO2yiYb#8FU4<5)?o z;vkvdr{{}a0BF|UM&EsK&g5~?;0f36>2(tbuP(&Q{299!O=Zx(4lh?5Zizb4R%c| z!By-HEp~yk_bG{p`0Uxii>xae6cdb2abaMe;9gB*es||$=f#vEO|MF>u$DYZ;9q>^ zvi|M-V76jwcc%`CR|yrS(R+h^Tj~rxVx7|9hAvoTz~Fb=DpZJ zXQea!&RGap(3s0&99NAmc0w7)?08*48_URiFrmx^3MN)DuKnGFl?3?}NTAzPqXwP9 z+uNoPL1D)q>y-J!rZE7$VA3k;KaEL3*grdnS5z_KiHYW5Wn^??`hOBo7j zYFj;Wq136dR^ZlJZjV_i*qlE+1WGp3#BF}jq4C5@nL9Gwr*xm+1PZ`qxCt3+mb@c4PzmKT)~4ArC%|A_{~NO)t&ZR$T#mqc*QZxCikQ~hc0fQ>G5rc z%Vo%GF3ZGiN712!3{b$6E@<`D$T{ER{P*oazwca%!<)5-%~@Z%$TMxU;P(&-!Se-{cXl$9LU0TzWzMl~?AD z?B5s912dT6YcfZtgVN+HfP=o-D0NIk&jVL}{P=m}6_3pX+G}cth7sL(*!Fb?K}M8j zVI-b+ZCf0%Ag=#{zQhUjOKj&E#9~HLe%PBVcD}H0@H7to1{>ysci;^v;3JI*K63Lr ztIK=(JIm(`K52I*#f2%A%HAZv<%kz1%KGC|8b0zob{vos^JQQNqN6|eAUOEpuZxl7 zu~B#V3?&K~{!60&XPM{$Fuhp)3vrDDs=Ee&kEXMChWBrN7 zs*$Seq2zpiS{L}+hQ%vFhfB~nL8n!;Lb0nv`Lzz-zbN%jV%W(MylFVz_-MO@@BDt? zBTS>xI$x(lC`_2d`+=|zSRMm{Ld&3iEdn4V3VDgqWn;m#46T?u;M*_dfb=BrKZDRe-{p=ds6rEQYATN zz35`oLkdBp`ojuJk(*UFzS1SBy5n2q$8jqRT6?cI5W z#nVk1Gd*k@BjWmx_S#glZ>u>IAdXJy>2ZP5WEG9RPE%>bO70Fzgf1sLS`+LL3;f4- z1avr-$nfXy!COE>$2&08?J{HIWG}gWhrz+H#>wv$lIY3%yo`(D`LuIa z3ftApMLNnT-wA<>^B>89i>sdCDv!x zvxKpJQl40l`EK5^--PaA)4fof?WYzuO8rk9=h-;}Kd-^%;bSS*t!vwVN``{zjTK}X znlF8wdHpV_sKfXkPC8eVyv;qsHGtutW*I4gP-gr)-jdLghC=G7*06U;cG@PdT#M5t zVfW*}l6LR;HhJ?U%{v~GVQ89Hw1=BMd4Fp>S#q_^7BO{LF)iB;&@wD(!kk6;>1o}7 zmowyt%4Dv3JclKw(UF{+eGEr>Vd_2U9}TqVQ{U5lW@^<<&r4CpihiXe<|oQnA=#Af zzq4GlE0(JU$xQUosXpZc#$rMCrc=219<0yzJD=&f;GEoE+KoZFD>nnpGX$lDb_AWojsSwY=d2T1yo-kIO@x)h6BDV z!aw7;L?hyxLVQ@pOZ0i`E3I{cVgUCl-bvK|u_=hf0+bsR>NsNkjKTqBlAPG8=Eg=Z zbsYMoi_2^BoPTm6=&OVc1Nry^q?*g9Ge+oL1XV~Ror=xHbyH|d_QPraR#e2iV}viZ z5nqwklSIyvGIF>9M?8i$yMK21;PCTS2mdSSbChofdrj6nf?jI((^LkuV)fWmLLm5D zvXmtUzgvkPzX;-CvcHnr8CI4i7z2Ow!CJ56B1_`1j1TwMDZh?meZyD!RU4X_rd5Sp z?e(5}G1(;3ciP#N>?&JzF2za@$4Rk{oi^C60ZFt>-@+~64l!+1xRXm@U*fw>nMhE189KCbiyC~()X*k zDDusQG@KFe5O~Ih1^Lu$3g3e+m&IW5gGN90OlFo}+hvqa8E0EOdlrrrrev331#5WN zg^GUthURB&Rj!;;dqZO%Enzn`a4Pq8<_7MQ!oQ-yfO7I=cj0=z=v>_Ag%*M@00ImE zz^36izQs_;YyJSpBx~GL~tfam{c?%=|oqj?Z}a zKK4tv2n?z1#^4uyxJ=8F@eLs!c%#NUySEXx<8Y7sak{h&1$uvGMF?0Z`KfLxfLn|dblO*7c5e$y9?G&-k=zd4`3 z)I>%#zmGK|`L^-Bno%=W?pL;^??b!-n;&=s2TX8F@zHBj2tvtOwPZlr$qZ^UZGu!=}YV*eOCJ6Oa>iv_4QG!l7OLcbIiHPgFK^bu(x zo7+T{zmRh!DZ^DCFTeQiBs?fAX_>u`5 zQ!*8Kd(om7eUVjuW|j*dpeE}xhzHq)ciJSwTG&`G;5I6$=Wjl~Hx+uDr;U>0bF@%M z>DQ9xkafqVw4P`hb4>JQ#xqPTSjhTW z*G|7Owuq4RsPVH37#evV*fDeB(#Xz)4s)4xFUqM0E#PquiS#R-_fsyy(w*< zd|m6=qVaVO>$C$>H1CJ8D-~4NCK!c`q4~YOPA7Go^>>~NX$P^NJ4jRrvNxQ1|Nb-Y zUD{JU%P}DIVNr1cwLW5}qJqHLucO)J+%DFJb+LzqDWp1ZYne^qZ-+9z*N8K_`R6&=muL;MmN3PuR+ zZVImaRtoNa3_dJFxX|c{+4eN)U}kYk5T*@2ObKku{r`tCU;qR9Jdt2iUjvkRuBLI%E)buYMwBeoY2HX)Q00%Y(bYLMhV6h2e0ar+yYPbj^5 zwOgiuSu(#?`j$Bq5fdnq|Kqk9qp?`*w>=9@{)LHDY2c!JnfX6+Z8F zQF5LBq-%TftrIysUpzu}kgqvS-~Xc)e=ONpeex0xTXs=iX>Od#@Rw9YV;dOYc~Ltu zx}~;^G-_K-UK)s<^^oKzi;cV^@okj_}rpT?Tw_UENPvWqHiuUm2#85 zaZ@h2eEhqsPOLetC7RMBTPQ6a6(B{l&^y}^)y+uaLT3zYpkA|VR zyHR`BUg;E6CbN;oc1srBh7RU@Lx}ayfA|`>w3r+!ciPYemZJx0=i&%uC)kLSWRQ*B z+hO$R=4AbrufBl1Hfu`}VwKoBQ)c&k>Es~EVp6DoqwV7W#&)T*ww8*WSM}wL+vU1+ z7Ymb3jJrel$Ty$<#gUO~?C4)@3Q>JnKW8egy8`8A`te6+nY4Hc)YSAy%h2rk>-*{( z0wn!+KuVSN~G`p6h-e1|`T z-g5nee<(edOjIAHiy`)f*Dw4~M@+X}f~WmrY9@gWGvhB<5`WG$dp9(TTD$Ak))_kh z7&T;zByMSo=S!O4P@&fp$7pBX(b=g0HTZS&5G3i@F|YiYe9 zSqo3_=GvuEh}fSDKL$C_tM8a-h|DLO;}|cO9rj0D3>3`^ON<&G}iG`7qvoS?n;LQ}QRKTGnDdJS7 zrM>B~;Q47!?PNy3LKPINkH_d&jb@|rcqphf?uTR6$ABm%2}h`Ce%35KJ#Xk{>+r!2 z%5%QF{rPLRqxCx0fsH|& z9U))9RRb^kaPWooO<)&Jh}V|Y5iQWXREAiPaecG6+Qbk$vm6#~RQFiKn1E|ut3S3| zy6xG8$H^<}q^@UkP6Lg`?^p%Ki++tE>#Deizo02%A4U?T1wRE@^}Q`l)|7rFWfx$+ zGF}9~R`?+H%J@mRXOS!ZQc?2f8_U##Me9>5d9Uv29SUpvzPis_=wbjlYe@UIjt8w5 zZc44ON5C_L5+}ovXGLYmm8zghf}w-3VmE^_y_3UkzI3e>#;3Y1p;;k1HIp}+;*>L~ zn53R6|D?Sc2(JjcKO86A{3<{bxP`X{7yxsML!( zTN46D)`ilO-_XEyq{sijhrX%OzYK4>LE*ihlc#cDthcxSn_Zr_cbv6_c6Al}3&ne* zomR(IrwI!C@Uyj`w8H)}~IG(SJ zzWF5h$vJ{z_VT^pG_Et3M12MPpH3Xy9=0ZpRfN6wmbw_zwz#X(wfl+M5G@X1`s_!AxdckfE}qJEUSoz(HFslJ8!4tN1Nq@Jz= zQ(@D(P?wta)ui%(?dNuX#ElOkn2PQ&Z5(Kn)w-csl3ht7Z$}iFeT?ifN4-K;sRR06#@*lCKgV)tA-v*BNPu^rcK)9deVlP}Smo9C9)YX4F zSUTm9uZ%@`(w;7E(DLND>PQ7{dv>#sG3t# zlT}r>GxAQV6eO-`2QK*HhAFR{oGNa4VX;`i@Q?EF$ZDZnLbnVlZNw8jI;2-oV5Jfu z92N0*>)d3nSk0mDU||p{$m@ihKcA`J+?Aq`igy7GM?0Sb%IjVciAStlXm)CHHyWgP z;723E-ja3)hcPzrQ!)XNpa3a-8zzd0W}IIWPrT;wQ~BwwH>FqnTSpF=P*-{4?p;O2 zD49VnT5(RbKebj%7hblj_&Q#zT0^Y7%fH>vp0wND>VoO>E3)}${u%zBT{%2lXZh1p zR7s8b@#L#L@1wb$O>L^BoR9$THm4L;v}wwV<@Zby2dR6dIDc6xq~Rl!T+H8HwM(d` z3Q*4ogKP|OoM6_y8pX(IZveXia)0O{<=%B!&a(2k(Q1w0$^$JASQPpv^9Ca$tIDOY z6dN7xM?YhB7so>VwAMyV!txl>f4m`rw)JP=`4cNT((fYtXPcJ(6!okYy62U4K75h> zP8Ttd3m;uGP4TfrQ0Q*@MLK~(n$}B`FromU6GDshdzlf)x%w}k`Fcjr_tHgt`{vFs zGtq$a>E;luW&mn5fWa<$s$C#rZ#p%bOcJA!WQa;u4 zrJmRqqEFU%;&~;m{~Y+~@=Sa8*T!7g3cn5Nd|Xlbouzx0E_kxoT`i;PgqUA}KE*u^ za$=4UzJIgX?*zT8Y62JrQ_UeQ82u7i6}c9uGVn)QAa`AVEXvKRp)^)t90+b(Yy#>) z>0_;{nNxLfHQqloDBq*VMfeMzq$n7=_15J7S)@W1T3f`$p~P;P0x*J0!x6wGQEUf> zcrm?|{70&Sf;{BI(AE1I#EbDnrNJc$J!MPRnp%;7vDmv6I`Q4?r=2U$zJTH9z%@+6 z+JV6O?StpKmNvZ_KY#u*<739lE#I5jWDHUeL(}o^K3h@Zcq6memCea_XnlsbSww&Y z3sLx+*W#{$tnA@zxlJEC+K3n_kLYa~fVT05Q94Es(B0Di{viGJ760+`oQXFRn!o};AETe5K~R;kF@K;uR%_O3^x}CA zma!|*<;=^n4Je<^BXytmB^ZjHr_brXT&Z}pDj{Tq<=sENXoYdOSa{66!ov0^8qL+YP|mO{$8l`5j8IJ3O3nwtC~D@ohT)qO~c7#sjSn# zh_f^qo%ngLjf9OU0$1_#di{@_q%Y7nUtm#}YM-p}*E?X=d#|%3M6x<-%@j5@oM^X| z>sne|T)R$*ayd!F<=vh#xm`;PJA0-?a zb}v;i_$Ls2x2@`x?IWe@3tbaMaUH$7lDFI86e3Q?H8b0{*%%UiN#-*3`vryPLNK^x zgXv{zx%b6N_7tzw?yFYrUaZckVt5PO;|Y<)f4aKDU^bT1Z162n0T)5m6Cx`kgpGpC zO71fOwE3e@L2kfcPP`$5eP+5G_i~Pp=?fQvF?ew?IFGqDtVoY0gXKJsDfqBa^ zC+c=pjEgyfo>%Poga+-;xHpNV#?B=QhEh*nJe^Rr&mt@xVfBc>C&Gq^?}Ns%@e(mk zE|DtLZV(m0jkZtw7F`_RTn3MkZC7OQ=D*+}z#Jf8(m{6p`K;fxduRTo#p*%^3z&_E z8F2K7*Q*O6>bYwKPw!~s>FRP~ddzT;EJIRo1;xc36hmRE?wgl~aG!m&;c0EB@y|cp zA^3+%ySF8z{bHCJ#Z*pRwDmw41CiV92`B-)3^ayf1Y@W$| z&0?ckz2$!&8CHmUR51xWa&_v=%vTBdcD3mZl%c*(N7UfMcZ#W^sXsJnJ?M$=@vCm8 zyR!CWTr@L3@-)N67_aC2A#h#wtAZN29cBYz z$|fGB&3UWUN>AX7d)lj6cKASUBR)5#wLkvFv$&1Lp_^tU%#YA|Dvm2d6GmjjjX#jUHK-3Tm)H@2kAcc zLa6J#T7^nj1C|Y5SY=@&n1l;zFH`c(#kdx+!(zAGv*s<;6(ko?TvHr(6FDvDUH>Zd zNfWmb8pmO)Th^d)+(-kYkD-^>rf>QE6ijprGSf`8@-QXoeUROg79FY1U1mM?Q8JIS zGywfffVA!m*Mg#gOdpwGPhfW`?#6WGP$O}qV>thA>$_*KeUHdo)U6eU9bSJh#!RE6 zqzno>IJ95rj_5DnvvwP*(d+|g>C?FM|Mne__aj5QRX%J2!UQ_LW9HNxXMeHeMk-VB z7Huv44VcsZX@05myl!iO-iwc9iEU znL%}_CHYjKjvXxxb}H0A zM~~2>M4SnM!Onv|C8164)L2K-8dXx5pk6pL`q?S&^?4D2#BO?@j{MM=XY3|6H60sR ziT=_--zk9$X8}dSprXb_5X=EqQ6bcplWC->JoLO*&WqmVfjuC*yZUBu&Tn$9Xoi}Y1*Z&0 zz8syMD=VF8B6|phl8EPBHSv0%nL$0F5!>S(3bCNP#mng~Bdh-4f{bsAMiclIxc{%j1`BCgMbV%f10#CtM>d@S>$UsrlJ8Z&5`$ljl=5YA<4SZj^?fjF6V zR_VJAi>1n?Im5z}^AO{EZQTy!XF9N0+ANUeK6}&R8y>D7_sc7yVAIZ@vQah|pkdvwH#wG2jiWW*{3r)bvEn9Zsde?v2dQhwp~ zzeX`SoB-Q!9K2x#?2|@~Q*3pWyyBC1zpt^-w)ICvA{L{G{grYuF6)NLB5n<|Mu*Kn zTj$KiKc?wjeWK67i!4%;YG^D$xUU=~LZMp&Tfs)-% zt0Xivr*y$q@^8;pj{uqw2G{L^P18m8m^4<83hBUYD)=R!{yv;W&4yfvb{)3U@ZV`TN{x55p^D24+g1x=gmr@;BTKjc+wr{)9pzUt2T>ZyS z>wVj@iG|GP4gQ$2oX|OUYj08%N2udi6`T~BJ7RaAYDN;=AI6qIAIlTZatFaDHdcC! z6rO>ONI7ZH){z_Hvfx8!hM+d1t*h@(l4c_*zRotA54xVh8& zG3Zo)7xxvpOPKg(GeNf4(S6@2Q7;y(l)F2{D)=ZBDCGhp6DlHwS9r1wC*DgpKQ%#6w{fzww+(?g)|Vv^q!HEr3&y$}tj zwAt8RsaP$dZJrKf%xSx3Olu`wrmJq07pogcZJS zzYml$rIV<$88Jdqk@3gs%4+u;JC~x|^PV8w7dSVnJ+CR_3aziswcSGIJ6v5%z9B$j zVV#{er(<>UG;Q{@(vtyx8cv*U555|`M7*eg>$w*7mZ745HzAW+faS4m@mHG+Mo9-; zn&IK~Y$i23wZ-wv%7(S34b2h=?;UUR%Z#~OQVMy0k;chj0Nwet2mxfv(4-I-4)kc~ ziCoR@M9GYB%`VVC*-Ucnyo>YVtWvdzi|5^%#AG)AVf()Ngp`{!wqhIr{xPzTEB>6` z9>R_$#4!v1g1dw?f)e9FjT{!$&wAC+UZt9JLS1y3I%7qGd@#p^oY)U&ggM3~uO()3 z2|u5xsr7Wmavm5j{HH2v3x4NOt@qm+V5=O`{%~m-h35m(_rgcZcSVfSCsUvHmIVFI zE?m}D@k^9fZ|$G)w|JjraB1f2$AWhgKlDCGkx76np$HCG5uD}_V$BNB7Ru%&e4fU= z_WV4ZXvl1Px4Kc2=WTEPJmjoB68YwZzwt3O@rIPNz{&KqhrmfY>D&t6&hn<$Usq{B zfQfNR9}xsJBnhu{Zyv^a3*+?X`g|Xq#0CayEklOwxLt6_sEQF1wueq!b&$B(uWl43mcc*JczlNQ9e*F>q zjG7MxP&FuR;y;=8S7K$llN6^)F69cB%`Ao~NqST7{{s=*5UQU$cTQ!XjcEyXk89ON zKrh9lbBJN0mDqLZoVBHv`RgDgm`SvcXD{+>^}<pco_d7@(KrD5e8lxL&H5{ns2ID5+Qf)fq)n zW2$M98z_IbAAJuVIBe)ToLP^eA0%fZfpDfB`?p9Zq6Hl7iy}`JHQ4Wtd;P$-K2(V- z;!@GeA{+o|;&Q@FZYlQ}fjWJeHd_P}t)p8yvs;SN{;1%MKpB#R z-urTnMGRw_tX1w#HxsEMLQo7pL+t>5Z8PxH)#|Ypu9#Tk)J*ZU_M@@S@9L;i_%}gS&wX!c0sPb>S==Au z5b`^bdaxqqqHak?{u4fiBm}&&qRK5&XxYHhrd1;*<}2#?1f3lP`zLLXc6Uhi7zGUf ziXyBBD+CYF7a9~Fs)6{bbSE`f5L1}BOjY8iZfOB5-)sEnLwVZvNbzc!)te*!s5RX$Bg}kvI@uDgY$6$)kglj&|f^w3_ z7pyKlow-&nB3zYg_yeLH6e^gt$$@yqRJ3^(@k-yT=A}7Xa;oRwo4}yocTtsj>tIGHx)kh*vJ%t zg7lJ^Z@s4(xioPIfzdDem(hQTV0`SsT@1wa!_c6S4x(W}GK6ja=xENxg-x_JXH#4S zvp$Kz^B;w&7&;@Fhkwn{{PhM(QY;dGwFz)Yu<=5CABhk`%teSB_xq2uyrj>#l~R4( z5106<{iusU_s@y{H^xDfK1RI@wuC1FAwtle;4G^iY@IqwHsXwP@7{&3HCau>Y`jS< z+>MlCFjMzUN}4lMO~uHNmzUl?sMy#18`EqF9;;K+CJijvEbHeXaxEqYN4EHJzz}nv zx~tW2`*1)Uam$OCza@`vEU(@E(fiF$c+;5Vx23yy^89Vm!37uBPonUGygcnluYGTB zbaOK*pfT#rEN2FSS#~@BtZIh9yZC?k`2UnA4v}Xys!ELW@9$)ct9JR)$5EmG*5G7_ zY$L^!`TNY2Y5%ZASi1vzrlK=<%ad=ES-g&W^vc~GZ?RtVOVpAc{WaT1nJE{bZ4#A< z-g}_uH|0dKo$E8raqPc^{)Yy!^#g1DpM2{TNWQ@2=2>OKBRtK#Wcg;NU7Ufge5!0W z%Hzk!y=HR_ok*%+xXsnsswW=L2WY4)Z3MnvrJ=g|8zJT>L?5dfU#@Wz z1}FYq;JwWqqL{A}By%A5h41)^b_DK7Bj12P{-DC#B8Vm5eV3OBa;(QG(sfSm>(i8o zlZumejX}P5oU~O+i|6mprFgWaoosd^Jf?h?v~$u&bY6csjm68K z7#ip_ozYyJ^?fKMD(>{ApC4dVi+S~{|0W&MagR$WB7hS_062U9-U_exF(bX*bjqGM zY3v|x2P6Oq|Aj&>)n9Ym-EGz<_kQK-s4RoS*MF(@o=CHjdRD~Jm6Z1og0C9k)p0U! zqDctE$_@}=fI5(FsXmCIN?_A*XQO^w!Zyyob0tpHx2tn#C7 z4464SAbX5pw$XnrtLD^1fBQ~TFeA6hkVw7`*0XmxER#Ak`sk3B{>sYH9?L7sUC}18 zVt2Nyfd9g_4rf=CU5;??a!I7fW0^0=A!%5@GWg+qJ2aO&lLoo>*p{MSZM+hMeL_`H ztB<0n{CCG*{{`UsM~0R2Kpizn31;Lo;xy17m!_5D1lhUbd4Gn|h4ECHp695~vQCwD zlz3CTIr70`WujtPjeaz=YG>buoSC7J6~;hfa!*>mIes z3hKEtP^A}5IU#mBSIL4}cwG+S@RA2jIz0Nz=XjA0C20zozs?^twXNj@-!rHEl+u1R zAhxSlWW3FSmS>-M^Hi0d3Zns1dT!1q63QSUogrS=q|&`NO~vFG@ym{ioo83YF`6FP zE?Tiz=c$jI6pEjY<6p{!nj#U_XGm%KCrNW#lF{ac8!lrlXWE5t=7+*zF}0!<;L_hV zW~TJHnon1YU-0Ik;G)ZP-`90IUX2fu!LLvR)wnjx!oeGwswnk>SOr-u8m(P2#RwIe zL)GEeL8A_g)(}T)9;eOlAZZ(rDa6KAB!j6x8UlgC_wJY!2hf81kXO^hLmiocy7#&% zcJPWL-~9CJk_7b7s^nf5J7#%UepE=g^pmv84Egm&c1Y6HrIwl=oVKGc)Qr@q$5wW# z?`0i*y-mwd#K!MkVLUm$ZEnze{NwU@U;oB1of;&XA%;fs=slLT%lH2M{B7mldD1@% zRXWP!H8wd5Hpq?ys7~+k3^&kn4>@*|I88Iawt- z9x-K}XEx1{cK4?@tae_j?vy2FIVrT@)>!RREs9nv`6T8!_|0Crs6n-Xruhsn_tyi9 z1IHScmORn-jM`mLior>J!(WqyUg1j$u8`RcXNR2-onQT-h)YbT6VmKZjm?1hEEZM0 z!*%|+H~0$yU*fPtyK+*T2 zsf=0_DK^5XZYKICz6U$v zgZVv^topUOq5rql1TZy~4*B|(JAKuxZ<^_8MPCFtm*ScP)<+JvM011gtjRRUip%r( z-{WeQOk8eqB#*dQAbUnm=E2QWS&V?BebGvNQO7h*hz7F&C6-%`!LPG3K_`kaMe3$y z(bM|p4eQ6BseFG@iblzbi2oa80U1+_hTcKW_aJEl>aXM%bY&5}Tx;y&!7)I30hc?S z(C9yn9bDa4di>W4vZ=CK1xK$q;MXL6U8drpD9w5`RW@raMowb;`L>6-%oUQ=YR_9?(U!TO&??cGBITtgL1ir>xcWyFHiD$zRrj)YpQgx#kmn z0q-N_?%SnJ-#^BAC}vgV?j4Auya0Kdp@KHBBz;c<$J)6z(&D3lC?hTos>Ps817CEe zm8ZX3ybGQN{=Fu2l{8%MY=E4@jU7`XntFg3t3;~Ur>RXP;1LU5kHQ;g?uBL&nH-Xt zJ<$IBQ=o%Kf{KTC*LNB_5wDbyF+YcLUy93QR?&Ix0*#CDMu=@eAhVxBdC-Lwe4TCCjO4S`!jhRv)2PXRU{tg?q299MF9RjBJH*`)$nSqJ84|9k8JEkN^`E|y za68>08Yw|adPwOGsrMZ4e!lxz>-+cqeb>4cYl(WrSx4<-Z|yBpER%UYkpYTwJ$SZHTsEe+w#K(F( zQ79fx)iHdfG5*Z-fZORHoU@<$(P{jT&-41V3`xO1wW*`Og#AHNp8r+M5tyP8J#6>T zEIDA93f>(z$&)#_gdL1v8cg#Y`!&Fjo3n~LqJFb*Rk++j&0QCnsHT360;=TkH@R8L z63Zm;NyL*$jA>hc2%DvS=CMCb>Frgi2s|2C@{HVt+hF1dtF>;jA^nTIR(R;&e z6~#YM?eaacTO;^!vJ_3@hX!@V^Xb}CvJcVt3i{XPXwi~nP>kBpWe;Kr--Oc|tqdW9`iDlXA@*OE9!48qUCpiE-DHj2NZ5z6i&S0!^0tcGl zP_C1LzHUNjB_+4=)88ch%REm*^>FwBO^mw=btEc4^7hivf(!~K%d*pYdd&U1KZ%0F zL4xD$r+gE75&!vjTgC*YoU*Aecx6r9o>LJE1Zzjye=osu5%PUiR9VbmMbLcP#IQex zpyyqP4kVem@cY8ob}G{pOhAnB*Dv}cy-6_%E#DUqBM*6Ug#aD{F;sa-F&h_3+j6+z z1Zv4G-;{4-Zr%Br_uOPhF26=dbfNk2hE3sEYLC+5-*S;F#6M2m*I#twU)TOIjVwnc zL0;Ot#$olYHwg=?KI;&p>@6S(SimxkTZLxW2B_OUR0X z1RJPR&SxkZAHwOvwUL<&)KOnPfWt_#M*K}00X(syZ@Bu?_tt43*W6Zm{jiI zE~LxKGE&=_)`mIKaefkKf2;Q~rCg^HrV0kJ&f?nI@#>P;X-ql2=VX;b*3b~wJu&-d zRJOKvfa1~h1Z|ZpVx#a3LpMV%O}Rk!m~4s zT3AqfGJyAk-j7ch*B9ji9g=5PxZ)>5ZT&w?aZpmPx+n~$-S1&~$bbu#0?-#1R$D78ml(;#? zpJ#GNzQk1C)n`;ZBg*Gv=R^sGGB+Q(4^=;R8~q*l&Y(+yeL?=luWvjm;l``*&*JGu z;sD}6wW$A4;lle1FfuanxymZSW7Je?8E2w9JHqCD$Aat=gNd#wDLMl0=D&QqbqvP$ zThG;G!O>6#ui?A-guQF}P&HXwJR-r;e2__H-v@u9_PS&;-$yOyVqBssQ+jPa{{6v( zcpU@&^LAC!hXi-5@uIw{kS`6eK2NJvT=g}9_(wTUI!PSmnb3>-KKYL`g+T>xsjJx zm3!a>vzC5x70n!Mki#G0YlZk=mfmAP^M6jOM{1-Mp=&9s#j zSnM%1Rq)BU$L8_&T;`+NSEDf1j)zsXCKB2*`)`m~%q1FlI1OQxbi zH}gwJE&1pAESS|}Z#q-}g65dN0;+>FoBkay{W2PQXvU!F$E|(vqmTiXm5oF(b}uqy zInwa+-l&c#ub59AFc?{c9`(w9yUl2@ZHIHu0Z;`qa0Ru>lpjqjEd%wl|%pi2)L-m}#~}0yBDY zr-j?vGm}DI>%8d;wzd*nlKMHinFwfw+M`UVUaK)Vq9zD4+?P%vtl0q93Y6@5Bp*48 z+I=#Q)CtL81mHgwd;Q*)z}nOBqo6uRRJu5c+Orr~y$kkGj4LrpVZQMd>gygC5xZ|m z@vTb<+9b@$6EpTz<~>L%${DlUs4zSK)G6Ac6A2OA_IPxkh%8=~){nu3o4Ux0_8o%? zTsL^M#KtB*&{D3ko73^n3u4(%RnvRv=_n$o_6w6KuR25ftSKGKlka7Uy4_j#(FDQitURjvLkTsngf zFqHcg)_=o*ZIdSi8sgW_s}NLLpKpGqG^bm1Nv%tz!6V4Oo#*+=%mB$J^!>(SFt<|s zhrx+~uA-K|x2L>AzOFNd6b!Sm2YtM`Kh$@Ff&O^c^b-S7{mEAfaXNA`T%+Ru6rEpU zl4f=Fx+w&|NU(LEz}42L=l5Q`(N%}sLI(>EbuoP_g3u33r%OlL4jcN}P(33VNFpCa z*%Ld;-}}JVnw}{u%XQYRRj=vt*h3Bpp`46b_`omz1)$e~z4#IS@PqC4xESMUK_rH$78aCY6L zNsZw6r>xwi70bBNCqH$az32Y>5F1AxGknsf6s}|ni7f4$ z)PL3ad*B1jr3&%EMB2W?k|B^G%I%1disrLCW94Gci@6Mn@CaVwhYAW`H5Lf!G1ZLb zm06WfeF=kw*>YKQMCrlA4sOuVm0cx@m4ZOZkkdPMGzRUjU`b;UdX`2K>;YK6yT^C` z5n}ga5cAhwJdyz?3l=UAVrjG?M48df3Tmqf@t}!Q7Z1u=)sYg(SXK=q!K9}}pJ@GU zw0K4DPv6OBtNpCrts_KUuQDv6=lAm3 zD&chwU*78UVyb|?+nAIdulFMZOiLK9CAaZv2hOYt-=sfNRhTKvVa~bhuZAL!MtVX& z{ys`#>x$62AABSvYHF>=u=t8vD4Fj^KrRXpJibg_y1R9EijWN`Y<{v$_=mTX0(p=8 zML0VELKz_$*4WyrPc!Q)vAABo^I!#Igupe3iClEwD(rw5bc6wm8_mTUvcfdas@`$i zmaQz4k2MPxpfH)0OD35~X|wDvWlowSJ%4<68MUN@b>*e8#Oj zbdMdv?F`JlpW=h{_5ApR7H46Y>kaxg5j&6{pR{Yd+T*ntwr=n~S1b7=6&_*8oxn6P zi^;Q7;DfY%z3g?+07mP}*R_5#5bAg-GCa3REifqi+$92aFy4}U^nREBLUql%M5rb3%y-!a0S)F!usi^)DzY0qZf^2@Y0NG_YLkxg!T zJiI;ow{80x6dpwO-t!>eTt#D2%%Pzr=+M&>HvS`N|ABqzgZJrJnKc{Jko5_BQE7!D z!g+Y(zfMx*J|;dnqq9LUsZil=1DzlPC{w6Zy0$CsjcrIcTJLX?;VLT=6d*gdyjL{^l?k z7r_B%efBUQ!iL!z%bj1pi6AX;Zh?$N>-evXI97(wq#7Q3C3M@oa~}Lh#`QH6INfnC z6F&pKjm&&*z+UBiCrl(E^{*6Z?~gpA}&; zSFenDwljKjTlgLU^_0xJj8}$4n{9We@#;$*Bg&hCQ6vVgswGE;hpsZ^yZ-DU=esdk z#qmbZVq6U-auBZwB-TjgrzD!_s;1q|@IyTR78e_t9`4=mq8D8faOFo7|0`^IV#1RM z&mj&Oe7_VH5Qllq|7Z?4P=e)M17`Z?i0Tl(9Av2oU8 ziomUnP}3uOXJE2LX6ymKUD&|0A-)Hu?$gy}2XpLW{!}MHi^AUuPd3u_x?XuFfG&~u zKN7gZ1gZ1Hc@j_CRjJ_h%vxMQ<@%m+V^uhj4u}xscZDT}#3 zs7)M`$}sLWjz4ogE9c>`8&NFYn<1r{N*s3bCjR>Dc@}!@G022 z%}T^_lh!EjgX|hjL*!jv-Z8_>zA&ctar(M2=i^9(a@~?&SKY#bLH3`PS%rT16Y~27 zdTumF1Jf0<_wzQlD3o$mrI9MhW-~)A(55Zk9&BVnt_p?**-z-!zfk8d1}Z>*oTmX| z0v{{{ojxpt@?w$HRYLq$0v_5Nn2V0mp{H42J&*G;U(EpC`A9^OrNcjwzhAYB-r`oVEeBU;PLQDRHA z(&fls>OpndY~H^pO`Qd}j9L* z#X`q=Jt}q&#@?=OG~%RyWmB>TKVX`vg=#x2PlM7{u)SeB#&7So)A{$T^-$!Qe2mPL z#}6I9wgWXJT_2|rSH;tSixS9{DXSDrvF)t zFbv*B?RrGHQ{!$X@dZ)unt#FYQz7v`wOtS+hBj2oIXY4Sa{kU$tJ+n3nwwiDXJ6fa zk}}{qVoB^iD3*iTrYcvd-m3_NHtqDVaBl4=^9*PpzFew zh(RXhVWv?*^PU)9h|;AG3iSbp3pT?t?7|2#<3QN+4ra!)7?jAVyqXtTkyvw<<#s&7r@B9|d8VWFt-0Ij;Vppku~g#QUx!>U~p$^@Web2Qn2( z{|l{h?t-t0t6)xw0A95Lc{>%y6Gl3gtsg8ukZ2DGD!|Ge0A+$#a#qhB{SOw^TQaXF4OsnAEzO!bkd*3l_IZHX;% z)Zh0wWWyl08{Xm)0SQ&5S974md)ln?EF;uBo#ivpa-({KrX>+(c2r(t9BDhnat7c5 zeq|B2k>s+l!VRw3txMo(td0~oZ-3o0_ye!|(`0*mK7|bK3@#B`MeQ3Sm#BY{kDgZ3 zWA8J-4A^Z$yymFbMFkP5FK)Ko64i5w<+((b<&cB%(kM|)`V7V^1!C0qFpuKPdq+k6 z+Ua27tNW|`g}Gyr5RS>SaQ)?(SM`+x+rA`b@cfVqiROT>XeH(D;Ue5jzLX7kPEjvTa_Nc z0clb})wK|uVUKIO5|)Zu1#Wi01WDM@tRoj5R-NVn0vo8W3o%peeCYJ9a+zp*VB zCVh+AInAT7jeA@w;a|!K!!Gmtw{kv)83RVpH%RPwBXnyz#GTejHqmY5rug59Gq0WF z>xsktYLkEA$)=)}w_s3RPbT}?c`kYhZI23?@g6g*j^g9iIjleL33rk{a&P~=sco9Z z1ux(HmUpQde;wGaRjeeh3tYAgTajJ5TyKvEv4Yzx6ea&IAZzSW*nzP3#C47(acVR! zDk_q?5g}-Xdpxayrnc7&SZbp&TdKb99QVW66~*yd<3ISM4iSm2@P2Axr_S0Q9>Q4e z&4G(iQwhP$y`xq+E13J=3|QEaItB>hUw4-S#xXgW&1E9prDk~o>`DOGnH(e>wN{vt ze3mXQaT;CD+aqkFyd<=USl(FED|{a9#b>^i=3TNoo`*+6)BPgvT0e*T@xD9~>Q?{e z64&wH>%f!TVYDQ1lo%GYGK z-@HTGeG*B`N_y+j^7z+Ivb()U&AiEv9XlSwY+ni%;upMtC>h#}l@i*kN7kos?k09? z<5~qv;YWQI`du`Cx24xB==&vF8R#Yar*SU`G-PT!zwhMY)pPqRQDD~|wgO@Qj(F}d ziq~zgO{V}l`S$YB0|dsnTo=p7C2y-1X~q zNoMlj66`L&1UMntHHB?@!GedUrRwOUMF-;&zOcb8$T0mvp{tQ53`ZN z7~>|+jR~vfCkB6GCO)E}I#IXgP9sujViei;Fy~eRY00 zu^~F9m6oK1<%5Zk2O1Y=;z8PxM}p`LJL@OUl55@Ohl#f3p6Lg>4o}htVi?64aLO?l z$hZ4yoZx`Vp~5N3G&8Y@m+dsxqMuJtwD?e__+YifXzekK%kPI%9TpZ#5JoEC^HCOM zMteL#52Ns_o5lRkiWay4iBx+CZ_+zA)?T-YT!x5HvjV?|tUZf7!RCKW=vv6_t|v$WfKlq`jfZUQJn|ULYly!yxto z8+Z8FfS^DulW05ZjH3U7G#5z@qAPWDf#oGJuMEzp%Q#-=;_{~x+tKnteVMmcyO~q{ zzj&vyKr0RtvkhB`wn<_acdW>aSqqoOHpCgOJv^;~XhQF9ZG7+6h?P>zxIXsrkBBS6aL4) zUrX%Z6+}o<-O=iu1I^_<=hG&JG(8?hqNzu>i4_XM6~{64kdvL>aY29tO!6kcqfsSp z!P_66yKbd=X+!lug}X#Uty&55XpRqH|4{iaJUiH^Nu{gb=)d;vgGR1*A6{P#2cY}0 zUNte`xfRzQyxazlu8VuwrpJl

TQ#Zr z3($+0ZAu6%Tr5@z-9>7Rg;6{TsN%M?=s#&!rs4`gzdwsw)bFc~_|?={=bi?qeJfJW zh1a$%fZO>Jpw6EvIe2VFAsB>G%_KVJOf|KUTm8yaiIlo3+pvTbCFy!hThs-Zm>e!x z8mAkCd87}<9Z=}ck&o6c+*JCBUVGg4aDeoH!E*ATn`myi<%PMHmVR;T;qddMBSsq^ zaYq=L=^RiFlGrJ;J84A~PqZxhO`29A4|+ur;#+w$pTrh%iNd|z&v$pPgq*+X z5RiLnE9brH{8kr(@%laH?Y#DOF=OSj?ET*WV$73`9xAY!{`qi25jDsuC_JNI?8luC z6ZJx!Oo|dqf9fd#xvp;qe}?n)?{oK*HNuLP@Pj0L@mh?^N83Bgc>?r(TQ}-oI|=}u z$i&A4GPnG@Ir=IeZC8U>4xG;z@cr6)z9t5qw}HE~jCYXRb#mgy*rI3w;Z9#nbw)rR zY4iHI@2`%(k{}BZVSQr1+JE&K(yRmqO1q$eF97QmlX*-o)k;~BxT%HHpycC-`Guc9 zqdq>a+ejF?ARJcJ&jqrl%%F5nzwzt!BG!xJh)Kl~7z_mK*JDhrPdtkZ$*C!7 zNynr4o>)v5CW)dKAy8B(RFt5#v~-XR9Eug6rPFfQ()nQo>IV^7c9TV*5M26;S4`)v zHHjlnZjcS3p2JckV)Bt`I#4I*cbj39dxUkLGdR&`z>qkdRUYys$or$O z%^iWoNd!|^$IW4`{f+a8EHA$$S8?AGwAwZI$Kg7M8)q>HLocA))cy{^dP-2t=e#bY zbw}4B<3*3IrKQk8vRKiGtye|(zjci15_`E(sCmH-Ur+AC!cyv&7==#?0 zT?g-)pMKFYJ~hJ=rcnuoGVz6z`uuI#gzxsKW1-{KmJ;%Yhm!)#!;EfpjUs-#jcrOg zb7^OzlDu{Cij1L$6r%T?&goJ;iD7Z9pm8TW*WsLtad&0T>B2=|QsKq;ZRXjRHXNBt zl}86<|MKyE)YFwaip-T0npCg1*nU1*pnqidv;G`k>tldsM7Cz~i&`Q#YwJ$(1h0}g z0I=ShSd9OWB<`X3=_nhp%!!@z!rZnfiSOOhg*EPW{8ZH!n<)v#)6?VL76^d&?Xjrr zX0u<0+#f)J*Mdd_Q$+REWi4V<(S-c+YB4$A+6cN;WjXqR{Z6Gb-u`Mg$WfkoSM+_M zN-1(+nzwr5P```LVA)_+p#!eD_sM<5h>241XCX%r)@$ci)?cGzUvG4F^=P9zDStfl zAoxkaNBRZP)Jy+brx`TSUDdv5qC<*eQmTvJZ3e;VwI_$==jXfprd&b4nn1#LBx)tW zSVBkE$Ad;taVcrfPv&gr9CtWRE5$~$D1GZoW@4<6{}V$@Bh!gTBl`TW_X8>(DH!kh zTnOxx*hD4#A^s!sqTOGaEZ!%W{ySk+bR&Z6u8<`i(PIVVL(1as;OvL^R%0r931bB^ zz$^U4;#({3DzwH0?6fhjtu?mQF0#Tu7FX zWLzb`H&0l@v5?<<;q&st`ty%jt!>@=jNO|*7r9T?-FdQvN>O`n+COqZMJ==q9Er1BgH2l8K6jgeMnK74fAJsh8!TEQjY zrz0ldo8s2!XJDZ8hFZU--(hQ;?8<=8Mv{ogOWpz-Nmwy!4%u%jm1`|1YEO@SzJ-s? z3aJ6I7aNrnvr#VvwLnP=YSN{ag9&IEJARTW3bcF9eP+pS<(_qoUlX&uq3*Bz{WO*3 z>Q!z!lHVMMs)=)WL}G0W+T_&F%DTFGbgl}jmN*=AN~7W@-gOx{%n&gc@aHoHYR9dP zBp$UdP$Gmz2l|sK*mBZW2GiIaFN|1oxfXb7=Q zk!4=Pnl)L0&W_xpS`w{7!AetZhQ3qAn!u1+L`j;Cldp@FgwE=)e)+P(?UKg zb$qJ~W$n|#AIAbIaZ&zZ=jPdZ0Ix)|m40K^D>+NtN@gm=lqlgU?XzZ;zK759=F&RI zPPcAMyL#;Z-MKG2{_NkPIsvCkXFYz>MZ6muiuL@L)t=EwJC5NveTLAi5FqO0qE}Q@ ztia)v^ROEtZ(oX&%#-_Ee$AS}Oot%+#l2uGf|z9LnP)gk$wG{qUGxjz1N0r35X$K) z=~(F@T5k*@%cjS!(>j;TCgKFHKUapbyQ=yf@olC}bcZYsBM9-JEzizMrHOnlnic?5 z6NFunVSRToPAf7I7p`C_`2G{`>?2R?dkCG-0T-*Z2BCM3*B)K}R(Lyr==stkvyp8` za}Sm4_r7!0T$< z9$T0s4?jV%{<~ZFi}VzHE~)?O6jm5dGq5!E zB9~&$?4$KMfyU(;{vDz3AqjiW9s8?FY+n-WM|3gE(fb}&gzB5}=MmW1=mf!t;#UW7iDU@I z`|=ornc|+pq`RI#Bu?qnIPpJDs|Oz5(8?(ZU1?Lh2#7(=1g!Fjc$-Gd2`TL(s0bH@ zOIz?ONd~AOk*PJMnVS!Y61(&J;v>5cCfE4agrJ<<5H`=EW<5kDH@Fs@=@W%6Or;T<}L8>Mu@|>1t)HU(49kOz=~; z98wBfySI|ETO5PCRG%<3#s9^_1eVL04^~PUH9_x4G(SP~@zR0A3Be+Dh+l-p#8O~< zATp?{TW4i1a}SlW0wEIHNB#YI)%YjDK^{YZ0w2i=0oQGwb%0%{tc-PXME5gEMVf({ zuRjgXC|;(5Y=)05?XH8TkE2k#B~1EY-!$`>ikkx>PR^lm%9hyyOoKWf7!aaK+DpZx zw~{_+(;F#{tWY*)>TLd!K6H$J_1o>xSLdzfBvKyo5LhH17ejYY${%UuG1gzQN)spK zI|vEASp^Rf#lFWC(z8kP19ZC(Wi?_RJcsRuwi#T#zuhwagRc~=mogv_ac+?Gmx9^a z918}CdOr`t9C09V2~ZkpkkCuHQuV9Y)i3#<4U-t69y2PeXGF|W&&>8%`$Y&2Y!?f} z(&eR<;NyEj$a_B>d@A)KviWQq&8lqp;L!Fi?Srk-5|clpI*Lz~wEwQdaW)e+BO^;c zA4)YXI6Kw&xM>BE_x_`5g42TUMiu``x!A9HxQ9vIBY@<%FKb1lRX!9{KYt8=9(M5f znqNWoFv5IKl9xo{F0JfTgsImzbHZXC&BP3$5QY=3@%E*^aUk*6QR8foM`WrBl5xcJ zu04JZ$G?N@zi?;j0^kW?rND%+qkSuwwa%m>gaf4y<^Isrc&pZIs!=F7>Px`UEqBJ7 z`6PL?X*#4r&VsV3`&a}BhJH$X)fWM?rt6x@$KBU^ODj!@f60lp#x(kr=J0Xz6N}l^ zsOA}^yg63@%&q7JCqM-O2*3ujn69S@{n7vK*LBvC2>n-Y^TU8C2xKpb?mHD50KKiJ z8|^@45DgWH|ND*Nx6h>^Ev#7X~ z6r@PVBwnA0ve}7!bK#+vgP!uNA!qFs4AllP&YRgzJ!KwrRuZVf=Ri5b9Ef;VZE_?^ zaDJc!N-R|~58IPlI(MFIt#Gk;cyYY6!cBR%g)=2^*X-KMW3G0b_j)-`>IcF;L9ArO zu#5#lNueBX_A*>%oW}qr97=!Lt9Pl$ z#DRgfXWh)Uy2zrXVsYPwvVGeGf^ShghELeKc2+@GBW_gT!{mz5o5L?p#_YMj7g@Ty zyXO~wYRZ5xGHNS~phJi&T)ewb-R}7tyH++bSGj_zgJVtZiRd?eHui_G6`}@Lu)>>G zn9Lvd;ynw7S{#@>RKR3ROxCdT?rblNEtnd-*&*sf{F5&;(gHT_EkarB!iU`^M`ERC z1;8k(--e+RCALZ8c`X3Vzgd+VmJMp{{9wxX>4$G`al-}_O1^BXrWC{57?rM@m~j#1bJSRqBrX1K10)VL_7J{$97n&hCj6^i@AzI9!)x4pFjB^t z*YM4#zsz-*;BeJe;y9v04W^K#e9SV$ff@I-IB{XoA9A(U{??y`fPMtMw)Yej8=GX6 zj@PP%Vh2ZWP(4w0B)79J3G@V@@9|l*vOdy7^+jThE9X^RWUh7I-Ppi`2Nq)hUD{gPJ~M z4~4R2QNXoU|9YQN>3MB7v?SamB>@0N(w6H36%LExAsr*mb3tosE3dJ)Z|c-4;MS4# z{_%ke6F6>@yWJ0W&R2!2L^3c43q&hEs4cUkL)$U&ez!GrzE4-Q!WJ78PIm#Zjl*PN z1P)|MFFKLA$+QE=Z|G6MwfK9cwOU|o$s>g@C_$|E5tUw2q61Urm+ZEYfvo^yTjOJ!?b)t^owdK;1>4cLVTrE^GyY}afR+^iz1TXK(SsT2+x=? z`1=-2zYY?v?8_9T<})$C4Gz&|K-8&Fw_ZDh$!}9!z}z=c9`2sWoIk&Ql|k}pQM3Hy zyW2F@z95J-Q#AXg>ElQVj{*%LmYN(^PsMt%3FV}dQ9s*2BhqC zhL4=bSjGFkHwa>FAgrMhRnK9*+p7$&{V#2&HkOfmb$rh!6)72dUpxaPzYw7F256Qw zlNOIA%4`L!J`7SS0?!wq`0NaRmeQYbs03>Vy}G|MWRLk6Bn|L+)SGy$!ZB-i6AC>0 z;bCt0JO%uGkkV{bGV<_jG3{H$j4?4ID|1!#^4Ink(d=3W0p+UtQL@3Y4e4t@l>BW-W4KZB3?DzTmdW>d)Hl zrfb2lnA67*)g;e*qRBI6HMVX}RM7y0!p|u`%caNJ;-mQbrf5 zE&KscPM=qtM-K)F?+W>n7sWu>QiLYsgl5txg|dOHvg2%Z7SMt%#>0?Ph^?lQ?N^$W>J73pM#l z$9cc0KRt21zv8kU;qRC@Jmltt@@I9<$uO3Xo)QEQa>Gd??I-d@uwM|x{%WplA#;!R zwb6s1n>W@<`}!jB^u~gp7+ydHe1Bs&0*>ADC^2{hK5U>b5Pj@oe?}+iBWaG8Mj=?c zkk1t+0{9pwgj}#uX4Izmt*!YdhdRTV1FbZ0cHFbJ@5im6haVA6C*|8Ju_Gb^kYs}Y zT$%|C^8A+A>BWlgRKTik)={K(e}#tzY!K8jsF7GVJDxf|=?*N0+Q7eT7&6sWj%_^s z(vPLir-yaKXQXLf16fqpnZg8!@BQmMUj?n5o$H5xhA$THTO25R9z(AP{L^7WSyNsF z5X-60Z5#5D`6hu>NvsW+44E|m6`3S6D&^A6cD0~7`BLT3s_8>M|Jh@FeQqeHs%L`R z__KVV28Q&)ggd>4Hd)}#f=?L2%em915JFX0T7~?yZRtw=U?{S=ujw|oq|*BF-7utL zhjKpb{l0efvrhHfMz?6$g#tieaI=_=uH-G^I-P($eTD&CY4bmgBmZkCIQ+y#Vdmr+ zbL56OIyVu5s+#;YZY3Fg3aDQw(8Tmko4R4-x=w%5vkCDZghXl$q6=mTKh3g}Z+o)9%kyXbTsUabPzHsCG7?8~~*A68!;SCa^ zD9pWyp7Y`CqPDc{dQbO0rp;m5A9ISV#)GwKN4R`&u{Moy538Ss5XyAowtjS}T98vD z;_THb|3M`~h=;cvfonWLz|E}-t;363eZZ*T_VZXPe)Gor_@8xk@awL-l}DkJzH)?j znd+&$Nm(m+>_{}Js$ZGM6eTf0Qp=wTRK5VYf8xOV&`h(h>07p>XxkjR(BXq4+pw7Fu26*C zMA=Z3-dm&H3a1_=Jv{-7?)Q~zzI_CZ^5_Uia!1eWGYwz1D+9OA{7! z7qoB@=PF*sVGH@XIa;p4rWsmb1YvAkfbHDCRbG)_5hWJS!JQU>O&^pbtIwuIE&#_+ z1rJQxSEHD_G8pGr}#JeRM`aJJn&ash_Xf~f2d&k zpxMiAr&-~%Xf$p-`C|XzfNA59CUF2+8I2-b8Ry$GU^585I2)_J~iA~B?;aHSK_#-D?!f)rEexXA%<0&`})x) zParSIo1I~;PKRN6tRuJ=XD6UnAdF?YGPHK#m5k$p)QhC$GwlX^UDeNg{a*!0txAGT zb)O|-bJ3@vrebSUBa80%@|q!X?fU~L@`cv@D9s?n%*QY)t^o1<=@c@>=k?Zqj-9!P zoq4Nmbp*_P_pk3nNFm=GFd=U_8;cm}O7Mvoqo9pY#;5KEvOLue{3}%ce^Sb&Tc{-T zF7kN_KtMCAtak4%X2#&e*hJUgity#n_{3A_s#`e3n;?qWBN+58t-jz!MN_dcc4d>% zt7K19Gir&rgiiVi-#3rarFLYM(0*p?_*3BZohmn$PY}+cJhMd$ZUSF&uVaH9vg!5Z zI2Q;!^p>M0R9oAU($~n*>51i29V)<@z^9r_*nZL8|KE%m3^?X&KF;oo`z=OCc(lqA ziA6|e1xQAp>5%!~;Mv!rvIxH{?F>A%#&U+UA4)caGV;{V`55_@OUDd%Jt0Jos1Ig6 z?u6@brw-RlnVwbsW^oLP6;_<6A@=p#ZD>ce{6fuWJ-;)=;|QbBRsIKf<46L#O2$5d z^`dOk!YH1=`?lIiHK*^DBnB859Pi4eT~ZNbs;j?kf~fDfpFFAhBZT}cvCY+(yaiv= z?{PV~O$&cMEBBK7_>m7Id9%wk84~lW*S%jt*-1hp*tq;f;G>jgvnb1=V3%9B2;3g; zbK_N>cPd`+3#c@Lox^ddy$o+ma#GQTeOP)p-|(`Tc(-i0h&>)+K;JC`vW(|HaT^bK|)kx=F!M` zkwji44O@_^@oPIh*MxkrlVY9=dqM`k4;JOC4WHDDswJhk56X|JiI6fB%2}4gfL(ag z%4$ZKh*DP%+=jpA_&Rgvt!np8Lt9tSg&c8hIKLKR)sXOJDg$ne^{{s!pZKWkUbw4W zX}Osq8n@mtj0uqv=6HM68nYt-)0qTVZX6Zz7a{|`{S?zHk7S6~AO*9yGQ=E#LcWqV zib~BV);b;256;3qg$zZ28r*Zt4ep%+#cTgM$VRb zd6WOHrC*K-=BIBkrjipimLY%Hxd==F<`VbBK(Bf|hrePr@&8;%CJfwUuEJ97@=O2y z{BIBy#(Mv|a^%3-L|Mh16nk;c%R2*CjSWo2-*M;s3)kv@Zq5;nS(|nttd~^E7b6Mo z|Nmb5|7Nrs&ZoR?4PaqmF_7$R(A>P8dj(E~n}l;+;k9!@Zh_z$B)Cg};I2V}lLWWd%$##( z-o5MATD7XWs(#(}ZRtoAC22GiViW)XfF>&=sRjVRF#rHCn@9-ICrVSYFaQ8Z)>1-3 zMOH$BQpL&M+|tGj0Fa4H)k4%(AHmPnQ=nNss4%#Hh0mhyT-?-;;0lCs^SC z9Xaf&d-+*_A9BA;IeMNd9c4#Y)aXSw<6*J`NDL{{oeB$kVHyK}Z=9?t9-y9N1*;w9 zJwDGhhETTx0IyKCxeMMWpk9ap&glX*(hvcvD4xH|J=JIp(CXqq2uO~p*cN3D$=ILD z&r^l-S_s+tl>w9$zi;b70PZ%b$x#ARQ8NBaQnr~ zmrIr+2c{2-T(&C7laqw~pWolbkW!|}JKxMaPdYu=k9|`GjT@nT^eSa}C6&olxsrT5 zVkB3Iet{^fEBUH_8Ia$iy|`b~Kd$gr=Iba$6V`BRt$6_Q1)--BOHE!p)-SkTO5PAY z{UjW$^)vMhHgvVS?z;lBZ9xOlelJX|$RB}qkHYk($tDPU9hq!9PItHaK01aVxkvk` zV~;pFikS)Ai@QsXp`h^=$%t}H#2?W()Rgl9eB!xeB=cvPcGA?<42tDT8WN@^4Nj!n< z@4{^j$L(F6hbe}4f;R@3=q;3h+5p&QZZMH4jH9)dFTum7Lu6PVN;o1>An9FZAXcQW z5Vl7QJp86|grul2-$Yl97VsC0Qa%}dE+#0taqi&p zC-@tY#SS@~r_VLLAZ;TSIhGyfGO{~eB&wN2At~x|fuD-M@3dbfh8;YQzN7yt$!7_( z>_`#-;wt<^UytwBcy+?=)lgL>igm=*2ItKd%H_RkHUonh;Xu4GmrHS2PS{a?RQ17`C$3X&*;zW%G|8Vo?K4!@}I`~i84J|(0xoIv;`x(9f4y@ zBTIOI-FxXv4{w~cYXh+i){WNNF1StKuV21g54*Gd;RD>SZqaO=yHA9n8M0advPD=_ zhJU>ytro=GOb$jr6ZVCG#sksDhlpBW*f$Yj#TX)hj+Dp>A>S=}UD@E&dlbMJxPjQU zq?Itc5S&Gn&)s&l6tlr}4%pf7>D_n^aI2vepWwa%);7s*VknW23#dSn6dYnKSl<0a zMl`}Ql-P0ol(I5RNr5t$@SHfA@hOzdiB6`dYO%)>=rr_+s4^r@h@KHH)HR993}K&( z_{*@YLgOTt7!c7UcBYU&An?PpiW20@f9Gt(UJIQsp#Ls^fYwOn8+Zi)sP|=LFzyA^ zaj@Y>(wh9t0DX+bGbz!g)r{upJ@P@b9%`$N=fkqtWLbr&-oz9nC)iX!U%J8mN?Ox< zbUt&#^FXy8>rXR<6bAGTq7RfNlpdy3pvA?KLta4+N3z)Lm=*JoeubSWX;VR3$dMlHuq$9N?Wm){b)I~*Dy{T+o!`_ONCz?NA zSE{Ncw_v@fQ&nA^OZ~S>v?fl)w|C6yD-~`ACk4yWuC}fMuGL;qZQ{P=cj%Wmhwif* zQy;jQvnW_I)1>v}DoS$-h4Ou;ARqXw&bdQ~ow=E~54o$Yz80$=q`9E`Qg;Lx$ccz{ zDV$9gf6%pb;O7ld0 zIi85HFT2MKiSRek3ZVrd8NVc%HCe7wno{J1U5;jsoxZI;!5VPQvJJ0I+I1z9a3*TR zWDlIqam{7VDT2mDJV-=G-0Y!!Qd`lteuTF0dj{tx-qFeT_JV8Kyb_ACys9qoE`#Sz z7(0jsrY(35Qq)5fT)oBL*Aa#qMu4#)^6*+>c4`7V=n%H0*@xdpPGeF8p(+2)U!*Rj zKd4|Lvcs}7H#ig{ph!q3OlO=tM>nMS1o>IdS4pZ#bi`e;GCRfHuVK_S&^Y&}A+t&6 zt4_fZdBgplhI6xL+pX1a^WS!;IMH?ZT&z|sehtOi^{ia13%a=tKK5p|sUMoAKCd6P zHs$h6wsp4+-sPfw8(c7tQY`uAs#nOm!n@)Ye1a!1J2A&LQ{8)7FJyIQ&fdHM+29QV z_nL&5O72GJp&z1?hWmsQhlj^03^@#m4|xrx)38d>#lPqHwK{CCRIT(zX(jtKZkimA z|FeU}PT9hQ+XU=B%KlN2Wl^xyB+(l9E;YI%df2RJ%vLMxNP8i)`dhW(+UlCAU6WnT zDgJ5s>Cu{fo$I3NG41hhav+9({2Ovbatfg}!QX<{-cP%`o2e&FGe@_CM;wJ5D}#bp zyubIn?Jw-Ejc$wYY_2S?c`kSFHSdIfab4rw*Re{Ta7lFHh7(wGfoIzGWZNd7%7Qj3ts*sS-N~G2Su5DzGxv!@x*HbzL zpZaF|jQd9W$U|2`$9hSI3QZ)2s)@bXdpX6iRVk3EJrgUa&!lyv6(jkv6=UL}sw4b} zxtPq&$6K|fj*Ay_>dv+wcG3pcV!uRc^}nW{!coKijI&OU@TywDhT^r;YNca(5-6!( z7Hy>XN63$p5uqKpp&Fu%#O*A#6es7P%MeQ(HU;jC46ciVS9h#^b-x5KYcqRL{lTfmcZ>S^mig`EbjOTVsmSE{gm&up%%2~1vX*G~qQ(Yl z>c#7M%{nII#@7?qJ|<^0(5GjA%<|SQWF1M%&b1NrT>imZ-q9$tEIi;mn#H(Q4_8^%Zkl)0FjA>DwFXi^BPVB7z#dhbnDtpSu3?;>I6i*gZ+nBJp>v$NTFgKjrn( zTUl3HvRmHQKkT7w;JssR(!{Uy`D%6ixoxg;ZlGeLI|RMUysmKoX+ z%RH;$b%|iZgH)*hK<;JO5kZZAmsrczp;T9F)5jRzRGYg-ov*i7X`8IBshX)JdXaj+ zzX-3T)t;=f9~*xDLSnl35?gT zy?Ds^w>?aylP%Q;RM(2e;#A{V`R2X9ZhA~2|BS3oCZeZ!t!&llZM9l{^r=YsOD?j2 z^OMcglKMX1eq7$Q@P+>QwRAe17#?;ElV%W7_k|e!KG-)+ye`!dJt) z?sKu-v*xZdOLuFLJMgB_Ska=iI|V9vmj|`~uM(3U_2rpq3%beAc>*H#hoHl+zlLr^ z_zh$XeNLI~)Q=`F*=-HTAI8pV(oP-M$ZAY$ybReri=NGg^wPh46H*nzSl{iuf9Sjk zehU8_e;mIrOzY=$<#|XjonBwlY)H}->f65Xab<;hckISD50+5H&UPBcqXQ10iwyv^ z*cZoXonYL9R8K7LF>jQ$o5GK|UIVPQUi-QbJhZjKcdy$5w8ebAPynjjfNenlztP}Mi9o7UhwF^z_Jw{qNUs4Eb>Xy@%O^z5|G3WmYZ2gnXGI?ez9 zKJCj1Bdhl69NPc9rG~bPwxR;RiM=hGk*U408JmZ#!%IH^K@WcDt*x1h5v7N%jh!>U zhY+1=gU+1$CvUC2=vY-oOe|f{s!3JjkU*FKC zf-g_`RV+QsY;+_oZJ~Px9YdI#4=niC_y5}{b#x(NS6uKzUt_sjn@6l8x{`M-AJ?`{6;DRiHOQ3TolM>AoRP`&C+C>cpDC6zUx zS16PHbwH^OfV#nemn-y4Iu+qWs0IK;0kV=}8Xhpm9f+S42zuA`1jo!5LL&8EycNwh1YoNr~vu|Sj= zTw?j(Ew7$FfBsGhgMf+V;(FGwSb2JQdZ>Pn+cxQb_2oL9p&&C0GvW>pQMM#!^w_+u+f8lEz>ok; zOjvPIBqSIrup81V-251_4F2gGnuH-~b4P*LvK;_yO7J3i{}t&K2WF&Qi+5ivjJ(Uo zxcg|#43^%wfyIel-eBLKB*LH9DgWJ>0}l{4|2-O+kk)S`$#L1&)QLh!3US6`zHmm9 zMER=dUehCP*y$>9Z_R0U5EJIp=$1UA#bQ)N~~{JtJYSGH{PS#?Y5(ss2B^=!X0tq)uc5 z(tUK?c|0;wLSQp!j2?>9y;^<4jQ*q2@|Wqy`6bKDpEIn1`8&F?HI#as6z=mom!_(F zTb+`>7sQn&QDLb5yG@&Sm?{BIzI;F5@q_`?+uf+aOW~|b$#SX>b8TK;XXGpQ^LlQ^ zW9CO9zJum$hUV6WcXi)7E;Z$g)fPZ%g!$)#8tnB9W9JaOW`#?&|Hq{Hr~^FuFKHWb z)+4%$QCGMYr3e;cJT~Gw8VoRFgiU4iP{8W=H~WQjA7H5jaC$*IK^6_@8NmY5>qAtUjl5y?mZ83JNA%iP zj~__W?Yz2^gOex27I`|)OU}HW>w?y~yx)=(Ek8DxS5^63>3r;P!ZY;yHV6p4>ct(d z5p$@=U1GFGGU6@BHK_} z{M^3;oDwJ%9{`*3-Q<(I5&)L|B69^R|M)G$iSX-)r%la3ZtX|uu2oaRr!UXu`&VaQ zh{n>E{=AJA%&GYDX~?bXF3POCc=cA~A%5QP`7zDTvdJ_nDyiaiJ;Thop+ND)m;{{} zy8Gw~h<8-%{wpT>GM_k91nnCW}}KAiLUYQ^@aN&JdJaiG4kHG%-wZ7;l@*TvVh z8SftcUtlq*eB<&)YaLLzF$-X1XipC}xbo|yM*T0puWTp|3B09r|7<~^l%yz(98H{8 z%;c?<`qzomv--!g4h!kmw)M{X`nZnfim`VKrs2fdZ%5Y;B=Q-9A-2S4>|E?r zBs-M~9$i6+j162K>u2;A#HHzs12!S5Gj{(apLqT}bh2tkG{sM7Vw+yJVe(U9DfwtW zZ;#aphMeVld}e-(@Rn4qWqnfmy|Z`Ern8YblNRdX2e27lbv-(E12T|d2%A=MS?IPk zxeo73V-RL1>|~^kEs2wwAXi3fONH`3-`oQeJBpFizYS{W6rifd|7WB#zC-ik{ zNy3F6raEs#o=1q17*Pqt2}Rb3&@D)iUcnKqB245pM3-?-dND8?J`}hLo&y$Bc9GP~ z(NMo2GC)4;1(s`*%!}y+45{afFLKuONbrDnAE}seYQYK|J4F9h2atys z9ru)Rgkuj2;{*b!wPAvM5Ue*P9DWm5tI(W;F#4QH1=K(88uEX18oO3u^t-eIgD|VL zl)4=&8>T*ydOQn_QI%z&64Zpcubbsui$G@h1;S5QpB!SoD3R`ye~?Nu5`f3k$*QaA zr-VCJboo8xDLmmV67-n9hLQIg%xS7V+?IlAs?*=*fVxNPL0Zo>F)C@Ja83%x7IiAr z!D0$wYGSXBM80I#9GQ|_&Hy!nO&thpHH^7gP?j10C17>ZqA;V2CZB0Ev0xBr&PVFu zkQ9Wa0(z}}Wek#t2T`5)xPKvg`h#ES}~&#K{#>Aa|eAES5|Hl@4fcM{h~K8FXg(Vuhj z_lA6RDFWG-pxL7K1mjwo-q~p%edTtP*$o@Nuf({=e4~C^Q}{ajn*lt68KL>6_@ohr zd7RHhC|Pj6pRRYf?+(RN5B|EV*7@D&_2zFmf(bpCcLxOS6phm8r%k&VWv|!jm#1^0 zS>L$l3b><@EJ~7*TFN7YSXxYU0~N*-?y+Wq_L(!YIOY3r8xjH|UBECnIQ49)%NZ&J zI0q)Z`?sw&xVMH|+`K`knOq!!>Y457JpdASMTh?X6KqkW_c%~Xv=Ac0UiKEK zL@`> z+E9KwgF))kBL(37<6t|_%L z$-Hcy6>RlV9oWJLAn>fnSfl!2m&YyNP=Vq%poD@&LFXC!gZ^>-P)S54BNvAU8T=C{ zD8C|dFLn}F~BVH{b=C=yj~~5r2eVoU?cxRYeH<~DdKqaS&gYxSq~MQdf+Y3 z#Czp`aHZ>u4dN#rm*U6MOt4VIwNmBX8N5%`O@Yx&5OEv-CF3v0`&#Gs4@NE5T_#GN zsCWAf`;*>6DY%3{ls&GQ&8v4Ds&T9B<~x_niD6AQi>i7p7U7D*i)Nuk;cHdQfs=Bq z9~%CQ&ZX%#_9y+ur&P)0{K5B*gc*U+3}H`hEgBJwB@it7Lk=H-(VT_%4S>!(;;BRp zj;k!zF}z-`1EfCQt*v@M0S1ftrWeGSQmv?!2lhPHYliWdeweGIEU`+DL}&SrsO6`< z=;N`XqR!X|Kq`JmMl?n5l{LXwdW;zA+dqr?se_xqhXBRFDjbY?lNEHjlBQ29YKT|5 zA_LzD)GllxRM?B4Vpn}xwwas~L`+m#CNG&pm? zMg{T+X?Q(mirZC6|G*wC%6z~sicBL7I#L2_fo@Q_!F@OJ@z50|6sCVRRU15fPrYZ# zkKTfmyiU7Vhx=tIWBe0XM>+pV7OO|@;twM;xq$INk#x3d!I}eX7O0+KqKw7Bs{GbA z4MLWtn=P0O6?||a36Tz7J%<)2XP_{`J>zM7EKeH1P4Z2PuI zNRw}BH%1PN5#q8dm%mxmzzESOQ{;**UcK_oukSasLDtw!$>YM6{G=HT7KiG zBrcN|cBExB!YSY6ssUzt=+Ah)NqzvKMhMeQ5AZDjbg5md>5!BjOAdN*^e2`ZoB7Ij zcLMLr!lCMF(a=+b;A=PwrusMt0UoQuDU><0ftBhv_M5afT)_d~S<}md#ik1X0dFzP zFPo2N=d0a>8IggzjN!iJM#_BNk%2qo#}^(DBqsM`a3J5TMU#lwL02vn>ETNyp7QwH zGN@m{yFOGG2Bz;Li@7JHkM3Q^;))$2+6&|8t{_TR2R+dAE zeq^?6)0w!MqlL<@QQq8_0O)O2N^7ihAdGKm&{Ffu?}oTE+tZ7HhXt!|yUDQ3m&k>Z z#D{HBYreMy9l<03!s$SSx|qtWO~{wzsX9h=3DM?4sIhREi7;7oAgEH({u>z&zW4wp zv1M_usgNWUM&ZZpl?xGtTECKYkG3H)Ww7iy$U9C)Akze=js@d}!O9#s4u(u}fHUJ3 zzV*0KBy+$m4Kw zLM?sJRW~ESvNb3*@@ghBCQ#Mm8_z1?VMyqIA|`L(g<7`S831{0T>?^LWYZpRz&TSYKdAz z2qsx26TmntBR*)&MRukLwReUgGg@1lejhZN^Mx7=h6ygUL&U6WLkJN^uW@dfV0m zTC`{N7|#!_p&4^h|3*KdU1yPnt>4vMhO0~(ssvwcD4p;$0D;G`!S_w-%?FCM}qBYg5-%8^#&UQq0 zSg5y2P=Rmq>mLg zwRwMBB2@?Lg45q5>Z@YVd8}uqL-9>57{$u|)Of1>Z_a~IL*qr9SY=0C7102?jN6ls zRc8w#?(|i&z8E^j-@KR`oAhAjJK@JgYGf|N;|0H=>ebU`oO&87&Mj268c(LWD|xZM zuie(+WRig~VNIo3(-d@{pGk$1L9D2LbXs1^!_`YziSlu{%Hg|K6NglHFm63`|3meF zq!W#sheT56BCi`Pu~yXa&Zb{E_<_PM7Tz36Be_y zWs3jFSUK2Z0TB_lBy#X!|K=Se2uG*?+p^C|K^@d4toe%}f?8D{p7ZDHPtXjUee)d3^?+?e&g{d|SJq?CvQ{GF1d+!(nj|d1;-(VF5nQ|*= z`nu*;T;`%{^wBRe=$m*E5#b_`rE{_Qy#Fbv=_%qBH;97tzC5K+zg~|{S^-3uE~Yqc zc07(5hETw}F~-f&miac$q}rV*HxZdI1I1SXclDsnDur2V|1ZQ}h74t**?w>tj!CF! z0;lWrFTJkj<92&W-_ikHgPX{bg*ANK)18otG!nAUh1B5$<*IK?29k%2-hpyZ2=Pk& z9ZQ5bY!SGbmOjD8M`v2ftTpwJgK`S~@)JZfLXLcP4+_gkD&=1{;}d;jKXVm2XA zEC7c;(KBCtzDu%=u%0szpYAh(x*Pq@{cta3?fDfRlj{2(!RpxN7OPE-S`wMkL15#u1PY(Pf&zjZ}@?&G7z&wVJ~4$D(#w zxeApqbt@xHSOXAsC9P*+(@V@Lqw4$x+!h%Mg2Gz0g3w69%;CiG8VXJx+}m_lFp`G& z$rzq)dPGin86wUHNbjZ;NWrJ(?dAKwLeDTr45FEUsmsJUiGb#g*4R8Mp2Gkl7W3qc zudg?rYfJbEw9X_dJWZ?18cGrAbD*0HQv|E(o2e=$I=GKLHD8<_sH)Svsx40|_R&~L zuIZQlx9{brbz>k95Bt}^cNZsS*CUORu;?$0eTW3LX0F^BX#PwYQ?1?$ z?e<=}8uh+dbSE-_x*h0Qv7W9l@e5ac{u4)^_==nyy0kvKTO0GGl&rYav9`WnN}P z1t+07KsJK#CAiwOKp?X{34WQ-!j^C|Au>`M-)`&@0?Rs%7XzBXD^CrS1zc)z2De;A z9O1qAbb(&tP+=2_HK)l#)%xgYqN}wr_H0!G4ah#6o1_`Elfz>Y+`Z~x+eALG_nk&w zsKI{UnXMX_!^y)mp#JG$l_;f{F#G!@Y9)$ol>P@rp+MbW%789p{Eso&!@aufTJ>No zI5>0jVe7I$7;kA-`QhFa9yTgeu8_f8hhbi|@% z=dE9)E~M@IAA_Qltq$KsZ@D!yFd%g(ViDuD`QRz%)o(kt`H{IrZ*PY>8_)zV zHY8;Wup_DQZ9$V4G*sP`w8oII13g&%@pC0ph{0+}Obk?qzRz>Pt1#84jz#@q7ORl& z&)C525qIW}AHisz+5{1gjkY%S5b+{i8=4{6a){CExpyZ(Kz317fC9-*5rX;10+qaDx#5 zDuD6^7~9zyMp9wZ)=3d`x*Z6fnr+U!&m>&hq4unHLV~IhS!{%AfmCP=$|7y4pQj?; zv3z5rHp->?wEWgxlMgLy`mI=kxMO`5CLuF$xH~0b8=h4z-#0RQ738Ve8?q0jZ5q2*mpyX7?Q! zU(Q)s1RHIP-{2w@N{k0)_8IT>sl?+NE@L_W>Zde58`2#@wFv^1`h0gi=Fcc#8OPMB zhdQNYs1j(POR$Gf&Tz()_Ix|2o@I6r$TChTp~@I{4iVyXBjs0YUM3iLn%6AVHW5-CaxElCPXG zvz2;$5g5S}n$Tp}CNY$uS`kFO+6J*8D2SSJYaK_gMSf2-3qIpm>-x9TE%u@1wC9Ma z#CL~Os&`srWOubuLZnpXH42sM{Gzy+ei!Uy!td7*rDb!@ff$WkZF#|@n#%Cqo7YXEwM_Zm-0L;#fgsy{|h$$rQ9mb5(N8jnBcl8g?wdRL27KRu_T` z7P~6FBe^*OcNS|;O|aDa{?tc=Mn0GIpMnSzz~`b2){jQupo-p!VD>kmL;DWT*v&q< zl_(@|SoL(tnAr+LZs^Tra=S37!D;w{d%r=ZxU~Qv50wKE)Ei-glf>8w1svtz#*@{p zUa|6?_uO|n$$D><@_gC;DDt2hzrgtJ%a`n0qxxNV3U*ilP9}?yGSV;9M0hR!9EuYO z6XK6bR>&?)U}70B*37#m>uRgXr1+2Vo_IdmfH+;crl{vv9+oiGN%ZHoY#+}hFw zh#6%$?K8QU1&Avmy$^%R-x%O~p9fVpb?9x*N>wd}P4^SqLbhqH&ma%O1%EQ~AuAmu zTarU`gInV~om*o;ul zZsg3NqtA#EVWsS|y&(!9I8p*~l|F1v_QcN6auYL6I%A8L-J{h=klw7L)0KI#7r20} zG%2)oTbPKjBx7wVHF#6WA217f!a*u^oZ8Ww=4& z5PCagC7xf6wYed4!T!vjGK|Z6#!ZH{xJckCcw=J(+G=HF9lUu>S%qBKFe^8xj&W#? zB2EQn;O7B2L=2f5ivare<<`I!r0y=}Qh&1oOU5H;&{TA!duXdOUrC{5BQxW?l|g1} zL#x<1axpC;v31pVJd+5_{sfJOv(TN}r?5=yvYDJpA;iYoWA$&|idBJ1=N8Z6iB`Eq z18_L#KXJGqg8dNdgd$j*=s=Q%D<7)$C=V)8zs#1hz~)AuLpYinYVndei8U^By~t*P%q-CIy*4(53A|>pnIqTU+Bd# zkp-^Zvd%D;qOVs$+^HNjQy8aY?h}oOQTQPj#>&Gpy9wrN&GuxpHt4QTISXGV@QdfC z3EtQ3?gw{U20$T(Qrm@V3!;fTuHI=Ml7~rv6IW~xvR=M?0r`Lpyu(Sirh;5R>=OZ0 zxwxS9W5YaYJHHe8;+cH;d_|A}?jzeB@JGC^7C=xZGWIm*nYTn>R!|Id$X!l>B}{$j zT+?iG5Y9Ll2Nq3B#X^Hltz}9gIDsf?U4-8`&81F7UArScwc(x02cg%ujh|`wLA!?LG2uJp0d;f^CH;{?X$>xK06+Vdw z0$nA;7zgZ-_I?vni*=W_(|6fh4(~PAhwloXM;nV^d&cKu=Ex1LQ& zu*sjgQ8$MmeA_(}uiN=7VXaHn=6)Lw8CR~yZ<|atTpf)Wg`b5I6K`7?v1!{8%p~J= zUKk&p77`;Dj(Vt5XYgWYKT1+Q2!I;dgU97*S2%z875hRVNzJ4LhpM>|b%%U+V@ea4 z>Il0fHPAH>fAINqq~9SCc1Y$G*sOGykB8M%kLi*v_4@HmEqK?r=SXN%mP4leTls5O zT9+gKkduWeGBVgxEa#xLT{owD-j%0cV{Q*eHB|xP`LvLaoA&7Vql6(Gl$qT2)!z)7 zM)^-WCe2y&!+euj2LNaFVeZf^P$D&fi~Anv>vY`)Vi2<7dkLVdCM*mg&$u#u@olI% zP^Zkx5}4$S_gzpM)0`bboQ+c-kXLovOFj_XiIj5gt_MKuo>jEa&krT)Z40S3k+^zS%UMQck{z+bhs+;o zRCp4~T<*+hZ3vr2YplN-$THm}=|y-58UDP#n~-?AOezqL+Z~uCrgh}+Z;}z#C)mMIoWt9 z{ig3;@lCsaR@Zzy0-eKjj53sJ#b;F~-kBzv6XTjT3tDtU&Q18j3pU+HyDq5VS1aA& z{!aLz$r~E`*w#;jYia#Iw5y_!LYP}SN4=1V@iae)Anvm-3VD;^fthB@RfdwXdFabZ z>YZXsmIYLAuy_ZC{k5PN1@aZETj8UB`+JB38AyllK(9;@nF7O+BHEyD0I4f};X*hQ zccB@09EB)IHN!dFFFE-R44$1(k?0c!>&Lk2w|w|cT+ae!4NlFlnsSec8({>P^b)yP zyex&2D{W{pV8ZZLsJ#+cVO*V5&o2}_hzq=wt$j~Q zu~6n<+)L`d_qpN){jVT}Y_wND!hKXbge&5d+=oRN%p|I3qY~JOXU-t%3=i_h|M)6+ zyK)rLL13X>7r*k$*;HR5y?)bEkf0tM3>sHy9=JA)O*C={9`QHptBDeD{;uRfGtubwpq@ZPu`;LrPg^T{%1l0oo3Pcf?mK$)`m;}`!m}o z+b{ZlWxq_WB9QC2zJDq4aG-B)q}cOYpA8W$qJjoXze@?8?vqpl_FkK~9;Q2-5g&X> zJM-C?KH6G;8_4TaG&hI?^Wd`+{*^l*bxuAb2I{@IdT}yIdp~G)V{mI3;&54rt87^Q zOm%oX)FxfTH3|LmYoyoX${>#x7}D)Z9nj^>&>O5#H|z^KmfPgSKQIof<=R~c@PuMW zBi4*=r#CJ{MIL$O7F(>-osyTvqxZM`KF{r&xq%A9l^I+dFf&P&Efg*Bi6zMPKE4RL z84Poc)G|iI1ef%P4pDy6ZMuGt;oQjsJF;@*q_yzxPk6cXbf!{`|^B@lL=UA z1)jG=R(b`_NUuD;E3qw5T27?p+h0pW*ApfpU(b~q(;qf9i|6ydIB)3H{8p)$=M=mO zK~StcXXr)lJcjX%aH{_WvBGYePXqb(NRTBM4b+7S zPghh5e(tA5(%=4_Ush&bH8d+C`bgCct?V^+p{7AqAL-VxGW2;?*`u8r6Qv3Q43Tv1 z!=;r3*_O}tp11ceWqcsvBJYnuTHGpUa3QB#x~7RzXEsws}Y z$Nk5#ecyc<#)smv(R~rV)JlK%+O!xD%4qQR&-1u&u}8j?sIEJ7w>kPX9yJuNi#|YvS~k+N9a!0w z==lR#o|VYJM?0Oe|7UTF)o1{`Zh_CW7{%+uaKc)!{woeME0xULw-o!|q=^@8fY4Q9 zmbJXCBTVIsZN6gyehvq8$*b5*&&U>effbn1G6|WjA+=!6Y2RXC14Ai$kfav@m|fa@ zyqSGDZ830y)(yrh5vI7vz_y1OMTH^hEI`H&S}wtsWG~*W-oHI|D}i_d&Pew2Ia5UN z7AL4F+3>@4>yxjE!hpl&WVmtBgGDeSY96cGHGxv_!wUr)vEpxU)gpw>)7|S({QKb- z%LnAEEcWS8SX*8wXOHP}8HCYN+&u!N^?@F5$NLC93v>1dGW!iG3s?FIFuO ze&Zjw@CB<#tt&ljLIG(N6PCP~G88v3s)0&@h=zIlON8gv&iRXNcSE?p@tO}QFt4uk z9MOHP_Eq?!@JgGC%@ua1yOYCu+w!#%Za(SCpHQ>&Wpiz`PgvQndfIS%PJbAUWWS}_ zDz7CnfEGs0yDjMR9;NA3y3QY4=duN-Sl-l-P2cP;Cdp>@Yzj4S^$Hnc2m_ zv4c8AmCsEZK&aqtAouW02lHiy>ZRy{Fp-A7quLhwDZ(^q442_{hj}g&1f}2}^C$ma z*?b5Ez>6FN$Dn{P!x&xggBvsnpjn49cwmM>80CO^FLf0vzEWGF=M^LHkA8CL;(+Ch zO#pFPMI#m*?yNB5?k`F&6wPjnL?NB?So;?51!z6ggJaNLrZw*8;!{%?*km#N=R zOVxj=&+7d#3jE66{nz#=tL+Y5yWZ@;?HkJ(s#?u~UyC5tVBBg`{-SB?x13C$M#_LT za#%b-xyN)Lg=CpWxeeF_cCZ;^E%R*Eds{OuUc#~>sP_~j0=oq(n;(pGj$L)_IEG946Yd!+6S6mD8jB@l&vDFc%Z<6iw(P4-=9m-yU+y;j5l9FrQIv?{@q|8D&WjwU%|^QMzA; zwKHUnnFxh&X}ih`njV)z%oigTJnWRki+EHpUd>*=!HE&FR-SVn!; zNkNS3>ZYD3e$C8T;}`&8UAGrEL_@BYmaY5qjDA-f=@l_^nBWC&HZ=09QxD>K$IlYz z5)+{M{btDH&zvh2xB!V%0#Z*Dh|D}pF>tlbBd~D4N-7li76cs%0s6(T2k3_1Wl!N5K+gXE z|7~CM!$&-%O~hQ|J8IaJuZSfMkFf2%;t65I@TTft<4|;=&*{BJV;OgLVh3 z+6gqO2{8q3GJaT5%})fOq)8kLHs8E9Znp{ua)&zq5<5;vFr$Xg*U#S&CJfI3C2$}) z%CtP5?Yh=k>coeL^Mgo)m%un2np?JVYIE<>^+xkHG&`8hwO||i(Qa*%x6e_S{n8f* zEK?1{K@Y~Z(vY+0E`uEFe{w2bVV<8s;6`4^`4jcdPpDV`|4qYQOjJ+`R>0g#H6fey zCdlphZ9qN7%A+>ro8W_xxm{@#wQBtQ+9aQ=2T$b-{y*tmi}U_Z&*!NrwU_?a*Ymei z61+{&+CtSX>z2VyN#4Fbsv_Um2xz!Niu95%hpY3L@q?++;M2zAGJVB2_jQw>bJnbL zamb9oUskSh03tjDCi*zNttpt7G;#srQ8vLuK|kko=jKf+uqaJ;DlPy%21OC4yUYWN zw>VT*!*G8gTuB*e^%X3^`4i1e?$6%IZ@f0j5Y&ckYXk<|kuOE)qpNcj9q4kuHRvpQ zcpiJ<+Z}#HI3- zFrE_p-^H6^;GkczZUC&2AtaTIz0?5{LM)6GCA$st6+^$JIRD2cyo{(Qc-&IQTX$4m zS@0J{hE2YvqQ1Ql(euy)V9Ku{{dbo_C0+KX4xiKNJ#ObCAD#R&CEuAwwccMMW|mDWil3 znWMY~GjXdys_-}&e&R8+cDRI+FugJ#?>(d?!h8G?kK*1Ti!@6GYbxhqB9sz~q|{a` z6m09?^88D^bTH(n{-ebt{JRsZS)kp1&l#4^$}4>N=`zoxOyM<7h+0;6t_{v<)N5_!so2=u56J@nPu&B zlKDXSN$Su)&?InRjNG-Dg*K>1#)_N>Z`I+1uP6vvqPtA=Q!g?c9jsr4Iijl#RQ{~U z1JxtA{`yD736)JE-(essxn|Q_F(kayoEu?d_}h1j6Pl)K?^a#UmtQi`w(-h+*K8Y2 zLkR1>GbmFe#rSU8R!b<>x((||W#I*Mz)_?Y&B&NhT0S4uBB#M9`uO&Dj)BCf&Y$%A zk}?ni4}a;gz)R7_>M})UHl#9XBdEHEh?>xJ!^T!dinF2|6`nuMH8Pll;_qNOwf%Oq z=s;vZ)<}A7(jx`MC1o$TWHzzp^7mkTu+enp3e0u2mVcz|{#)zLeHi(gR=hyD_Jz)} zOLdiJI&_#X3}JMk%P9}1IS$XuXN6u@3~%fMwMzC~Q?j`xlNj!PhM~GV75)q&OpPSr z^R36s5CxV={2Wl8q_XL9tMgHLmrLz+TrFqf(A&?BKx3-RE9yPnGvomq^#(eZ+LyU3 z7SvqexG$9YwYb~Xccwq1jcLENzI~FPcOhAA=SwX1t%T-RkYPBPDwWP+P)MCDt}E6Y`KhkyIfs_6z->q6l&Mdp6@BTa0Vo5vgbUX33l%~% z>ZHLrFSMFnaW@Dtqu>Ce%&gYpKjibOXOX8qh*v!KRr@n!-`lbxz(Ms~MaTz)e|}z{Zcdgq``u?}qcsAECY268+6Bn9F^HC{ z4xq!9$J92b*I+ZjCC>_5gAz1##o`XHEI_IV5a!hZYv%1%U_d?by3Sy zCa}cd?6&l4O4oMFmiecZJaQ+onf`V|u5Ma6!fe9Ao=rgNN@2%_xV=7JFM0BaF^aeY zl%deWtLw!c7y}~oan$qyA0GfrHTIBn+D$ zsCD6hbIX#6(wA=r#YE=47k#VO_3MMx`cFWFwpRhjhyhL)5w;RkaE*L09xkZ3>E$Is z11yhNLLpb4Lzw8OYobE1uT7j#(7j*76X1KVNVGiH-IMU+zu`N8dXqV)gNQBOg!XZ_ zOt)A{W~nd!lg)|mSRcq7M)g~O(848(h$`)A&e#&YJxRH&jj{Vy9!el?2)?b#=bgnU zx%gg2Dm~s#wW3h*wAGejJ&mQZ4;~%CaXT+ zeH7WD>&(a^5u8B`6XkI&Ac9TH1RjnDjPXwSQE(hiN4>u&NO+-jWK3-JpzJ|~Cqz49 zg~u;)XxJ9OlpZCoF0XLLVGFouN$wu!3gc_YnMkL4Xe>?~Wyh8R9v&KSk3qq?ZFuo8 znaOC?V4!OGiFGhs{^9M^tKdtIq{ zMtK`>^x+YWnZ&etOd$*y_o@7LW}vkanfnhsvQe-MzWWuQDc@pFx{X z0|Di-Q&CsUf4(Pu`q2BAu_r*QD4ph+Ra&}(I2ozU#J#mfw)=JRadk!Faq>tvRVaSb zw4+d`(j`CTk1~U8Y^U6SIZ4jd>!~Gv5=Awj8h^s$LAay%mRf+ul&_$3RxSvIC%?ZA zKKV1Lf1c!|NY-T4{v^`wGF!}mz<>c;UJB^pMDX%|+4xzei>Mv?j!H5lY$Dz9LJs6o z;PQLZ#YgVZI~t>wG}Edlk3xabw3!k?k?5i+7Ot}8vYiQcbO}}f;o_prf(sq;eJfr#7T6-ph9Cy!stFR%A&?C)R58fNdB)SIv{(SU0 zF;&B}W;L!$@A#vG&sMSX zS?d}udjiQQ{Xx6 zmtBQgJ=YTewj+fY7d-fspiXK^Iw99@*#r?#OJ<(A_~=ne}W zj*y>5y$(fPJ>LJ{HZua#<4rHrGn7hTw1ler4JihVk3~1p(vZLwgsX)Ep}zB!7B8EF zlD}LuD9t2;!uT4iZ*GU1j3XX8VB~kW=Qm`W;RxNwNuJb?zPYiFR{7`B^~J#2YMfK_ zoMHU`d*9?nMVOa8f6*BJ7C|;Jy#d+;QA-Q!p!?rac~zY?h#*3ShBQ0DGBz(0bB|2D zH=%Z6dA4i85ZX|Db9YvcfCqDlobwA@{iY{y-;wcP!*e_f`x#JOdpr8 z9TDKEKNSBOljj{VK`mR5X+D>Edxuc@Mop&}bcUj?HK50WJ*o8*V6{69DVv)yFUCJL zH;RhgiV6F1l+I0IXm-&?oBfJid?d)bEJH+4tjFWjgXLF4l6XO1rNi=NP$CLyde%_r zl%M>qld563wAL0F&uOjPKYD6-m0^`A3LL`=0nqh=T^8!y0S6bL>-fOg0~fh@X8ZdA z0|!LG_5<4eS$RqCwlivF(SO=jk;s5s;{TTgfP(Ma%6_|~mJr@Dg|Slemd_M`6Wbm! zxCZzTPw>Y;&TetGjfSZSQ)~RB3~u=BuGRF@=HJ8x5LB?d9Po_t0e_fJuW*9lUyr8 z))TZ+(&8R0ChCB#A_u4j$>O2`xN;2K+#aNSEDiwb)nnm`-;|h2V$9F$b>tVVKh&+D z368p8+^TG{BXj)yoRT3t#G@9pG0VE7jA1SXs5_S+o;GyA5v)J{zB^5opxD|BN z5T5ryhfo>|luKK>@}2k?7zWEH@Fo!tMO?bTsttg7H9Y)EikoAew;T2c+E(OpwMg|5;C8>sfgU$}=6)$I zuF{$t8xikp%y_@Dw-6TYBay;)ns_Zo^Z#p_KDoj9?-IR(UZPm3;`9aUmhFv<&MSRISN#HlI$7S*xXR}4fs z`*f^o@7`xySo(@!T{tPkL~*>OaYlrrN4P6AO0CUda=xipQt#=YYV5_*_2qX6W6UaH zB4P{gGlq2x8u?`6N%{Jwo~ewjr|ZBr`ld=sS@cVHKcJymZdW_)tL3Yfiz3dyT8=F1Y#)?L%780JFFvh za#fYHcwWl7|Hd7~VMA09qLg#{`z5>Fe*W!T*=Lg*!_y^(cROq4u$E+~O>W?x&a>F? z5qEAVIN>HdZD!g^*}?lI9ngqPtN?AjbjuGAX#~ah#?0K-h*OTQ2G$UMGsI~P+JE_Ycywvz_5p$U^dXGglk+azq>zEZgf27v z1|4imiyb+gxU%rN;-pS}ZII*BA3}W1$d?I;+%3tJd*V240>{7niN*;({AVHmv(u*w z8N@%M<{^UuSYClGC0L7q{$vzqM4`t$uMQzY+_Da4?`gq`E_m>02&-|qI56EBM8arw z4@0EHrUDTScCSowJTHsXr;u?}RoU(b5rNM(s2UTwvvKR3?hl1X9!|BwC`f)t9eAThT zoYszdrX}=3BO-I)ne}_0oBj4sE@#p_em&u=M)RLcKWm-RYSV;dv7?DL=9k8)A;7&y zX1>1lVNc!;L)V5Q`y`dHy>Jjue)Eh!Uc7k)kj`Vs1KoIA+I%>~2fSpIU|N>?y-p*m6g3KYgC2&wVA*aNG2@~IwKhR4M-nm9Gx-L?${DMWTOEkPT0 zV4ylA2Y|VUL^r>eZ^6n|!M6yZ&aWc*+y=xpZFuPMcyLF%LK=u z^@Ke+i zOuigYSZQdw?a^_y45T~KnRitSOvUggsu%Eg(aq-tGZ(H^x5bWxcL@wBcaTD9!x-TL zkXMOZ|{rL1WoXVSkXUWq{*`+ zJS;;AijjQPlw2&;x(%|kfaJz9 z^K1mpqEmm9yLgb!m-N402QK|Lf;SY^;P_X2{M$J*p@o*^^s|8B*Ux3QTOzgC5KQ2J z^MgWs%AC4OJ(qvq{TzDBAP=2**fo>!Hn@I(Ro%s~sq=eR{e%Ks^4`f0gyI)`)YH05 zjzM#~u(1@e!JRcqFVrB3=bp6!5x{bU6SUrVE7tr*Qw!Dq1I&hsHO4#qoz(L1X-`?1 zU~{TK-j)QZ6J=k^0=bzGqmP`_6#g>Mwe{R{!S#qb7SGeMSZyJcp9+7*8HpM{?e-|B zS6D&!o9QF9!U**>waS%~HvBFa zw5MyC71EsTp@CgKpWfW%8(KmqNDC#bUFI3jGg{K+h?09Rc8sdPc(fuVZxe~iq4K#0 z&bf@UGYX44RW+PJmyio>&L2X8 zO;^b2W=7|^>3VLpt4kN~??VT4C7wtaF~V3q{C$B-QB#)7wjUa+clIXn?NK+wV|GK7 z!h|NJNiNWavntOv`8*J%9r*b9>rT+=4P@e0oE$$#Z}~K2O(;A4fdjz|9Q+d$tkD9j zmJn$u43H2M1Or=_z1PvqsYr`q7>WQ5p_HTnW)kE!PoYnJL+3ZAi{X~%cZJt;9q7ij|64WMTIVP5Ib)J9gkt_X+V0*sIkbbG0({-H&PVDf$*gm! zx57?6IY&$6z}6J=*2dx6Y8I|0=ZRF}R}fRzQDuMAfjEZp{CKH^CP<6E8rEF7Qfb=Kd=5Wx$=Jbp)(tlB@go(t;^9GSlts?=`UF$M+bM$; z$<6~-J@%fbaTXq9}dm>KnR-KDKkpQo-#90uOj8tos z{WS)y%(3_fo7;q9$N=TF7uk?T)rN!uvqtK$m2uEORIyrXj#!6lY_S(Tjy0W3cC{SvlA!a6}IyvpHd7Ugwp|#@aV^_nIvHU3ikd4*bPDwuGhs>Y-}LoXS(wEZyu2c zN&rx~b2Y$YMmP)QX|#RY@lRx*3w>*IBbl|hxm$s{)Lr`av+2Jf5qUF^tpzn%9T~8s zmFu=js(X355gk_jE5!!`7LEK+>}#AG3w{WGk=gFcLu6YLw>a;@I)K|HcSULj$z3u% z!~w5-VU|LZ_GGMadHJ8mQ!>b(Xnzy@a3#)nr6>r|29Y13Ba#3Pil)+}k25Y8iy=fc zs9#HYzx{^{{pnj}4!Hlk^DOQ!wE4XzaxsbyZ|pm+S(Hy$jyJ5JlukI7fKP4V*7Ab8 zpnceHk;CnnfF78|5ev=sN_0Xro(-SLwC~HvCLY`}B9S$K?Q~Q(uf*Ii5+($1_E`Do z(C^;ZOY#$79UpiDMRDHZK-PZS6$W;z})k(j9+jXwtwZT8ksDb ze)uk9vHLKTi)|E}SLwJ$4Hp=j$HW|D1%NWbaJFaX7T}2$66NTm{5!*p~3V)u+x;la`Q)QRabO(Bm;@E8vezTXU=1x*- z?%6aQRHOl-f*IZy8WjXm97vO5^07R&8C1#WNT?=!!vWTLfaNm+#^Ue>5RV1OM2k(n zP+mb`eT^j(dCcpMn&DL6WC&e5}&88hq}hESV)-~w#L?Es5uj$j?1`S=HZ zjOzHGh(tO5hX2Mp2wpAzl0hcoAd05J-2H%+F7>kAz~!E)!Hi>?LRK~Y%Wgdi*C5f4 zH-e@BfuF{;Pqq`<(wnqVH|K)YydiHaOEEvH#ih}+l`YaCT=IR*reKX=(YH<(*M~L9 zli419X{&J+juL&K1Hz@e9BlemK&a;~9qO4AHWUPkWF;9(hch2a^U?4g6><_``O~yV z!9f;s%?bI$))gi6eWAhVAXxwE`75LY*jG&4YK|+_*AJ}Nr-2ko$ zi_EOZ|H4T!9v^>E)3j#jPs}F?A4TDOxX+e^lo2sernG4$EOGWxc8>4u8sFUoM9xN_ zxAm-3Ebr}Nq@9T!b#X`fE{bifuK6Q1MAbUA+al_MAJ16R=vvKb3pG_x`Y8a!=0eq@ zcOuy(Rns~;dJ)j|#gB-A{Zv7%2}c*5vA$QUjIKBk6+A;1+~tF|dypsVRYj|*p^ z!VuclSMw~zR z(BP4`KB8#X>Jj>rf4+k-6n15XvWaZc>qNREFUfh(-c5(I^WMeRC|GWxklcIX{;z?0Cg2;VTLV85&1&K5R_AcUa>$lH zWExEGHhi>rXSDHS$a*S{&A^ls&S?2$mWD^zA>EQPXywF{%+`#O9YOxuI6?8((`M6! zC>fG%DX+kalJZ#@EEG3(Q_q_dSqqNZHoee=5X}9_5XR<|*dhJyD`uRT1gym^frF7* zKe1+soyI7_#wd2$RTT#_XoO{XkY{M5HJK!6^aNUghFcZ$T`8!SE|hwMo2CQ00S`F# zE-SJ@bmF0b{lsn1ShGX(JcEf0a>ucLmsb%Fu-UGu?4ch45=_+q3QseX4XmWo*?E5B zfAETn@3M1fJw$8QdSvtm)ob2+YC#NYxXVp>lsCQ`GsA8Sw8N-j}@G zO*w95f(gUGKl!qg-yZ~K0H6c6cqZzdv63zYdv}N37~rRUu=;BHSn>Bmf#;g9UqUS` zPWFHKeBC&}>g=CMw|^gIoG#chfMPs-eMC&0oHXQ5AS4__qv^f*geV^-tpwK^>RaKK zTW0Q!&>r$oG$o#DsUdHKH-RONb~5X_pGvw6f(_G93J9pYAJ5}JQ(;O!^IM*s_UEzu zCJjUZeuajhYzvt2uW#hkUda{zd^El<+>2@IyqoLpP$F=&^S_!Gr{U^B;d+kl-I!wx zC1rUWEy>YPluCU4bJ%GQXd_QIs zr^?6Fo8*XD13%N~gM8r}E{3*=S~+l<1RSPJ@tx$kI;So$9^0qgnc{A2YN1^5hEyLa zcf$7*4$q@#*b_u=C}gQ6r+C!FkFHHaHjEH~p?OK8%c=mTFmT9IW-PIZ^<56)G;hjl{J^UHw{9=f_C8Xn@$PdoG7d%N&379=`?6Yr|4c%c(u`~txn24 z69A^M5F9367I^K}dGsX);H>~A2E}-SI7(>|B`n(te44z797;zpvn?p$<=wkC73FH@ zcd-LQJES>anVXKLC$BJ7!}$!pEw2GX8axw3Z!O--UPu7bYV*RwhWEhnEWO>s?sJM! z-Q*DleUU1Wq71bF(Bva0)EB%J`XXfmZ{xaOaNy);&p50NTUT}3ZJ#iJiv+Y+3h?xo ze0M@9sD{lCIU_H6)g@i*FPFvAa7Np>Z|K>oZ5wkv5kXqS=Z@KGf1M z1CBIo>IGqVojo9~wk5n<|7WOv4#>rSTed1{MCm<%@D{M%JL*}8)O+L4AfQA8tgSiV z6G8;=$Olzrg$Er!WWo=NCOmCS)yzfO(q$(N0uZ{Jh!TH`za%+-I`78kzVo<;$p(MR zDEMBO75f4UuRm4o$rHU?+wS}g+4J+@cE&ia3N3bL$})Y?Zb0wzq9g!B@H$@0&xKs0m}W&=~LJlEzw7X7_>$KuFVpoa?~xGVo32f z*^40rovns+1HV4<6_q_N+J>Wsjoy)y82%pB)Go#n0@lPvzT%q)110f1Li*oMKB;I| zT^FUVhI|1#KTnHB=7k8wfXSjE4j`BHsB%-Us=S{de;d2ku~`iVk{F+cHgsC4KZAhT z12Dp(!)=YW>EoGSi+52?8n=0R140~nimZpPE$G|j@9t8z^HvrEWz(E**3zV<#K|rs zMRo!2QT39xndf_9;S&OG+1Xs_*)IF%CSedfXBA003B&7;I5r=qUJe{sugGuY`sTk` zF1qiD8?|cy31m3)=nTXFRKgR3x&C(%25(r+@4sZ|v1(~~p=r0`T&(j@@xyK22UwxT zh6m)hk+f^`Z+08@6;+#D%2jri%YlxTZQ%^8UPo$Ot21Fsg zGqOPAwWOV?ikP|~7|RQ~zwWvrt5Qqod{%vhQ@&6z2DysI)J{sH^y7ooK|xz$+KFue za%sI=+mYr*HCf}RbDhMH0`*J@a9+?mVuFQO;tdzCy5tPINTio11*4scf5R6pCVeBw2F`(rc<-?TaCM*AKXR_MKwQi+>%jiHV+wm9Gk2Mf_2gywTB^=nx-I zAKSh2EBAiFXggIvSMEyDoSvyN%s{V+3W0VnWwEDkX8(;}cFOD+`#*43y+%t}F(GV+ z!)Wg+J?k2@xZ?nOcdVJh1l7!w5b{RaR6?}fB)7d!zKASy?+nIE{~8e|Y}h;)kv-xR zL&%`&>0Oe(JlSmGzR<$c1af;^EWK85z;_6dT6Rd5m0&9Vy!@|+WFpl`>N%PY-wOIK zM@$+EzyD9sG1wd08#R9eM%A$hWNPFDzyQRIXp5W?~G@U;e^ zDL?i~yj#(UvIl_DonwB7Lr6)PJG}Xff-MNYeDw)?j*ti=rI@zkGQ4=JrGl$}wZyVX z7x&t3UOpbChCNGor{@Cz2b?DuI-KdaRh2DSJU?F{FNuapB?EX#liq~vZ#6*ocD^>g zHZ$&x_bJl#$22*f8=T7bNI|1(q{eYjj^u$%A6t-Wc4Kd3KKPOd5K<8arQSwHtTCy5Wo5Z97FpvuW^p zU;(UrksRQwTi2dz5efXt${PJF$2~mHA)=TSf7&7pt(k!wH$zYi z7SV>{daW&!ifIV2v1c{d0kchtQ72EgR_Z!T5nb23*1m)V+L|bXW+bC%OoeZ|D^F8R6%uLPbEiB9v; zUY}Sofw5;j(P_{n!Cgty7hp}JZK<_$|In)3g8}fw;(R^);QY5Gn2)5DhTFOZ|I3y0 zqiZIbePmMIUUR}ak&SMqgc+zG2Ez}vMWg4QH|2NhuiCSAM?lxPPaGQSK|Pv>#8SY4 zk9I$8##~d;+12u8 z*tI+T2b3g-F?|g83&NxfX|Z_*Cn425;s`@*H^cL9wTn2jB%{+Q;O{6i4q_BZ*4<;B3k&7!YisYYPoLxZFp`LEn)(?^fOFTUv*0$0xA-(LEEC%sd$mD}hN(W^)jm z>3W6$b+O+>6Rpjwm7Rm}x4S}KU`VC$2Oa=swkc-7CCkds36b9%7Ei65`!e!q7Su4 ziHkBvpJ*<$&N+FXgp)WIf8T~3q$culT5o~j0e3;!ZZ0{c4*5qauhU~@4T+xjg+?`j|q zY=%Ek;%{Ryk6DuBUL0Ng{BMFXwVm;sK+HBYgpDk;y?ur)6@X26@tTAdoX63(&BZc?#5@ zv#DBs{b};Ie1^OqOHNs&dafwc$k4b+=O$D3&;iPFDYg1&Z=R4DDie(4a#&uxc&FwB z-!eWi!J^jI^V=`i7Fl>&5DjU$GhdD;;&jZr{=0Z5Gc$h?ltm$KqlQV6qEd{nZ$#MO zq;u|Y;0B&QS1+hGc<5d}Pk-YunoSsAuco%y`vR>xy*crF$V4@`y31{2|NK1jSWezF z2aboRY`L8p&~-g{$Cdc911bYCT{poYxjP}?9L>>S?)lc?O&WtX+nKr|>sjc2K|9;d zfXokqXu#I>;&U}IFhr|IRJ34u@)emiKL636M#8^j>%D@_kq4#{{t8j_~hEAVp}C_Gq?U|Rqy z*8kVKV4-S$AuP(FA59T*w9HLT@O%*v<;&|I0hnAxk_Bu*z~W0@mOFGqlh*)AwC- za1_q4&ICQH?&E#wMu8SYSmF~(O0d{6-b1k)B3Fk+Nnr|&lSi_vc7%eG-+!@pQr&JZ zm!C~QQ5K-dOvHRw7D!=;9F^*7wC=?2mjp*+BbCgU(N!S!2lv*Onop;Py~{}uji(dV zVG>7DuvY#6fIHs>fBjbNHdgdDB)pM{{x|t^@?W9JwenueRl2^oNmj7Y0bN)yaGT_a zdar4MIeEO!LfB1TS-ZFh+3W((ah7Gal`!t-BS*9<&xCxFp~Wbt2j~2%N~uFa!>ZNZ z^mRQrSzeDg`fm%g!D0i0E!=NI014ShUq9S&vvg|4ceBNB#Iw~$yNlZ)T~2=BLj30% zl(8&{QbaN9*jycyjXdqBcRt<3jyV_7x+tr{cKmQ<2ThSBg*iCDhTYZb3u9=ySArT8 z{jJ6>CBeW*)Ol!C8#Z4^3;p7nB@mijF?+m$G&K5$?Sna>Vxw>zDb1j=frGyg9Lxd1 zn4}y^BR)VD>zqkN6fyr|Br~*GO*-6R{`wOR!>%R}ZWU^54j6)XD&C@*T_A8~)u~)3F@t+-ty2?S)c>a}K-gXdYj7iQ z@jHwGzJCOBqn4-3_+B^C;LkO4JXqqk%8aGx0TU`10qpJkW>*H$|Jr`6g$P|Pd*S3r zMFY->{B9DvW(Ataqn54%5??Sj zHJmA01(E-kHl4(nQ6LI&$WYl>%w;?Z^08;(7_?_*1=5^G=kW9BG{SA zZYmNzMMHbcdxH_m*+42qZE>|fo%Xz=uPp{llP8&wSXU+N0_p{I6_gk#l|D#zks6p) z72FeEJ?(~at@`cmpPq$^*T$Z)8MipShdvbLtN%p#g6Kk$3h>*F{!5fXK^`p*F0LyW zUN8SfuiRfl7X08EK;M|)Y#_r~IXPJkAlsZ|-;s8zI&%9k`&g*X)!pQQ74IqdLSbpHBr2C!~mOZM< zT`Rx$YzNW7NPoZs-h4T8hO*TA>MPW2b82XiTpZ4DSuwP!>8Ye^l`jBSGLvQ8(Gkz@ zM_lly$)WMs_+{U>IAt%87~wkx!_Fy#juX80-d;XT;Uw~1k=j(rMthLy_3Q3lXUNi1 z#ZX0LSc5efl{@qQ{>%ZwfyL6Uecu6olVCq8u}Uq%d2<~ioaRZA&qEf2rc21ff}O+2 zBt_*UU-)$stu-BPIr|t0Wb2M9yU60He|h5-SWc@aa%GJ(Jcm&{#guYZOo&Jd8E?w& zK6?)D&XMlA&6m?YBSQpUp**Y}T}R<}b8wB(Sf3B@^N!)O+7zNd(q^xLX_cbHLDfAL z0AXiRV@FLOlO$h43gP4tVbRegzG=|B>ydhk`g@%(6W}JB!#L3-1mc}ol5g=Ej9d*O zgN|;em+`q~0&od-Xj-%0%`^};+Ws45L;Q>I4<)$n{fN0QrHAT4A#3@8076Q06$8Q` zI)F!Z!rYZ5ixGN0!^$=M8>eCT8|}+j!TBQkG+mC>e{rq8B~)ad?+64GPUiric554F zLaDm|zq`~~bHw&K@`F~pj9#h%KyMj15$Z3buu6peratPj^|G z)d6Oktk774ntd&~tim;cV3vP_MQTqL+xCCJm1 zfx=9aBD&&W(#iLFLpSrQ$bbJlg6JSX2nqr>uS%rl5g)LSIM|L;Ga~g^P*ef4a1=q= z92O6Yx$ala^1W{xsQO!yIc8!Zj7B$#RBr|NGM-8T-}Y2g06L#m{za^s}um2 zM%4OKSl~(jCfoc#D)4~lcj0wUPWQY{s*mluJdsI?JnmV@m+@XU|L^}8Qkc|$)F>F0 zJ{E(P*_ETjOetsS+iasz+`II4ZyfM+mjhXKNUZaCanh`YLRN^?4EHDc_M3HB&&@`h zb`up@lm@J)X6DYN*8wO-YVYYRdZuC1$v0O_!PEGw+v$#7b8Fj&WH6bA>_9ImB$Ur3 ze8jFC_ObkB{5pQZ@#&MmNwQ_)+-m7)ZG({gAyf~M2@a!DnlH%^J~_~y$Nh7A98&#K z{>iP5m&r&0@xT~Ew|Nubv6JAWpJQ!hdto9EEL%7=6hhya7put>YpK=LU3P7j#;@#$mYI!wbFJDHHCLnj9P`DL^6W+^-#K!p8FYn~ z@}4eKh}rn`$8L?z!xTkoTDGLyRX=pZ;s6ISLTOji0Rx6ZAY3)Yw0716ZNr z**h5A&q${x_v?Tz0^L2nLg|)h1a+UV5hsT}!e@?VQJ}n?lseDgsZ!loj2qoT?}3af zB!tv+`tR|oU)Y{4F-;GxkYFh8-=qfIVitT$n^C6kcynEwK|5Pu;Kz&EGVCeI`AQ^qE!=%Q>5K(w0y4~vO(_0*g%4|}LUU8To}J{WHqt9Jt(RE@;| z@EfP8!AWxpar|)a;M9fuc-W`MFu7pp+ZfnKb>CI)zyi;t6{AuXM$+iN*aI)lwx+4e|TDn&-Vx?a87-YB@$l z-*3I6_?}{=?tQt4>1>rxh^W0_D`OG^HH-}g5572$3lGF=Q%+I@aK8S0m9orw$l||< zwnoY@8XS(}xe+>mA`)!4>kybwg4OnA^C=p&gWLfzt!`_XZeHbDOep+_1^y066i8;f<+E#>z=`c++{3#!ybqM)ecZ@&|j#KI9fY&Q)S5TT$g z7%;d>1@{gx9}U?GlO#vaLozT*XWK59Oj&bHsD35AUB+4LH?viPB^=Bm)n;oZ)4lA# z%5{Cl^$KiHca&=$LV-o9e!pjac-xJ9)&^G1YarN(nLleg(_%4>3FlEY{0J5MNFzGG z?Q*(P)j!2m2%ImeRVxat=>?vDE7YlKD}C=u-dYq7yfr8yagnA5*u{w&fiu zT6*Q9JXRvsC|RzwfUomXv|xa`8)k7#*t6 z?}-{=I}Rq~y8&hShwS1jd{c3?SVf%5xUeioR`QiI2A0(yQn^FBZD&nIzfVyP0i?F^ zI<@ZMJfe{~Cc2iSEu2HHjbq97tCrh@2N&%IWvP zFRrShyc9+YOT3Ejk1OlzMCY__$$Kh2J&T;yw7r6wI!hIo@hr3X9zQuBUHoo=5w!^y zOj)dI3@KBdW^8g z4mtf==+v2>2>l?WP~2f*8-uy2&}n^b@s+3?xITwd`Dc*r0Z9IJtA9-L&z*XlmkaEZg;=Q z+k^SF!jPiuWh-xtC<%Q^*}!{H3E_5g^N`}d3$GFfv(mP0x0Iu?YReH%gK)jO7?#4R zGdKnL7~Gd6XjWhYsvRCXA5@jXek(iArVc9LyG8B39-ykV`a31*xmA4N` z@w}X?re&`<--!tUl*2dgdbQOvT?j9j3bTE81UQdaoe|ZWcGvm6xn{p?4d>B7uQxUv zd$g1R3s|n@Yrpq#PX0iIj4#h|8Z3NwYj!=KkBC@{49$o-I5i6~M(~)%&6hTRyC!u+ zx+=%4&}NFR@fy)D_now->Q~9Mo_B_(7d)(ryaxJHPAe@3-DJqH1Wd7YgaN*9kJ)3V z^+`>v#(k9lC)dqk_P2FSBWHg@=LdK2)z*JE8~9_8qhZgBI72Gq@6+7PVaex^lZ>Ad zU8!))1#Jt zPD7~#<2NFMEI(!B5kLGHpB$$4keI77#=T;cFZ5C6v(<2x&{et<9hQ^klXmQpaeL&W zm`%u?;3cB4>7&hoD>VI4t-xPTYdlQ_B3~Y?!WgVlaq)o zMNP+B3x{-F@yW8%NVwTkgFI8t#q}Ne#8UDM5>jT=Ur2DW)sYU0JUwkbTsZw;Uj_0K zr{3Ib`f~QyjUjl4a0h7?O;VeMvj8@Jb~IYlQR6%labE;PTLgxR=g&R9XB&%ZU!;Bj zU&}0g>g+3RxI?mp!CCJdV};jpHs8eG-SN<67tjM^6$u)&41DPp$Js0*h>kHCYN~u1 zk*`0;H!wYLGV~O{-8q;az}{$!xf7A0!nql?XSXF_Ds5C(sK?+vo>AZte?99-NtJo{ zqHz$Eq@mH{N(3U?t6Cs^*E4$BNuyCNo-lAk_`a+;=$a1N^a38xkZjqg+3>`c695Z!4*a zx{e(XY>Q9{@GA=&ob-Phn_jruJ4$@3HXCSMmv|ds6a_r0Z+QdlRV80Awpn@vT%(V? zDNYSF_M=#H#HC5ALw=m1YdnAZuh~+d%&$_=#Bc`PWg+rwdVR~hsjgvMvs||O%x0k( z1Ld|t5T6ZG8ved3-i~bv(=bg@l;mQ;fO-3qR=%)ilGWaE(EBrrXTYAwdO+U*(WEq! zB$eLxUz6E96czq`WJlf}d@5nVXy1$UDzhYYZ_tuLusZwR42OGgXtA|!vjzbkEl;W1 zdi3_8N!=-`sCAA1)pAl4@SVsS#nvifc;+p#ePUbhrILDvm>E_!hUxL5NlzaeL4DxN z7Hg|BWt6wE^7YU*h+)DJk_<0Z6X11*!*uF0Dw86Ath*myx zdqt)m)71An3~w=h_m7A_X!zDG%19w9+Ev`ff3_1Zn9fFUHbC{vi@@I==>4ZNJ_SgK zi^l&om@iUe)ZN=XrE=mmR4LMa|IUvonTeU&iw)V=I@z?~8Q5{`qlDWN^Kth$ z>q&pgBQEx*!7jKz!0~aK81_T>21|xzc*W{B5Zz(dZelOH{RxZ=wrY8uvl5=a5f*Y2 zmX5^9ASx!Y>#9+m#;$MYM7v{xr0!Q=s1M^>g*#d_l=Qt z4;Yc53=MF87QvAJ+s|!HXR0D*R&Yr(c`F~P(X)i%H;(ZI;N$u?Sw5c(&qC(SKZyjX zi77e9!f`oJlx@^Eb|1$Gr{t$(O3b-Bi3H(w$e^so0axnxg>~kcxAfKKIgG>+O)rTmZ8mVv;GuJQ}1XdzNuMmuU&JlCAuaC z?s9%e$k)Ze3ppUrz-X$Gvk|PpNn+e$HnbD^fmCL6#9hQxo%=H(dt^j^Ticrc_gEaFPSU_X z>#NAr%eE_gfa#wafs_LFcXJfAZ>6|3Wpzk5ndmw}R*8i54XqN+4;n}p8uv4*MKzbg z-*Z?o1mH0}N84PjLuM9Jj>Qq=5l!RQsjWe&s>XBTSKBoL53@Ie7oSZ1>h+cbF9{aS zf>}AhpHVA~23_x~3l_2A3}t}}P6Sr`J+{0w_GJU@%f;V#iC{k+$!4!yDX?ht)81U; zO8S53I|m&F#7_g8nlyX(F%B!E#iu?tGiiBHMs2zb$Q+BpiJ0I!9oABJ0)EvM_O3NB z6AVv0d*Jgrs+w+K2{LhtCahM@-6zlN;`7A>lU0C+Zoth%?2j?$B3$yxG_OF}A|Rtygpcu>1g8^bkH~$KH(2{YN%11bw@L zw(oKiTek;~!2&opB3)RVb9>$iW;gc+a_o}*;MC=MHavJ5AqE>Hrz197A4DI8 z|E7-2Q0g=)&OR=QU8AjZE(|ZS}=sE%7J3U;OnfxZI{R3rw21DDIY3={hndTp*g6Gx+DVyH23gQ8@8xnznRu zpQgL~E1I6s!?v2YRz#)Nor*-cy@OOM_1|>suucN6=7fwi+PVX6P{+aZg=xIM&NFT| z15uehIX7oDUVP`4Wy`0tbO1|`Qd#q^0(K(9VIe#|BW82*8yZ?Wj&KgkyDo(&4Exx& z%2G}dN*~_T#-JSD?96E+{4Txn4u|^Eu$mVA?v>UlkwHqw8;UQBa8bLtXm?+rPw3xD z2fMlJIMhH$c!1u(9Ley?IA8!s@WHjdvTS~UYSsR+1&w%d>-AC*StN|+JncDC_M24k zb?+&WAlA^B*2`SK803y*%owv|dw-F(f}Cf@NY!nn@74z~l6 z?j@)>*pvd^*+U~s&v7~VQ@NMuZOt$#Z-)) zwQTiYW&r%M5n=seJQ!k~LkP8=@Kytpkic-BIg?Lr1c?bl(NU8b;oaOE+$p|!bkCz# za`qSN3KR7M^Tqjso)Y;4eO{~U9j8<|d8~BV&Z~y7gG+WVKja5|+-({z4jT0J!|t*- z{+YqdWAb%Wy^gs1A;Of&9NZ{99g@G$?d6ESUQ>pPn_YS`Pk|=EchiEW^LfhX7_an+ zX&*cd14sluw>quxom_-Ubm|;=F4)K-j=Qk=+HxLZ7Vp z7Y}yaYOvM_LD}g zsf0}&lD+TZPpP>@YtS+pr?0;l5XT;6VU7W4Vify>c}V!ff?nd-!om|rgA18?B5%&jJq_2cDXX(^AlP~e$5#;cNiO~{j}54gZhW<9uea%Z zs_biz_|$p``FSqDiv6!M@Fdc2XoF%cfVYO`S*puo;BEb7Vgb&R;c`V+W1uqT8$OXK z76PLL5X|euXDTpP}| zsS}>4qvBk%c1$=<2tjHB2QJMOByRTWSJYDP2WD~2&lXqzaiCA}?_qwE zDzL~vPhR5o7=)M02Jd|jWwSALT!0bSmj)(<5{~!-LtlXvB^jOL;HcXLARs7tQldi2 z86n_*m}Eo|ryd997%3x9O@9|pf{reBQeDsPLRiye}15dG8T`bpg z#@9qD&AHz1?pNH5>GxL5T|+R%0uDoC2azs!`qg9$Q_ERo23<-e=PRqA}j zNK4SEnxt=_1M@HZyDH1v0z#I^=OqnxezD#(@x*eE(35&$h=OMFkY|BSyk9eKs90OB zMmc9HeEktU%TIh~+kQkd*JWlJxVJ9&FPh`yZx##U2XfX40nM-qAdgf^FfytEiD`;| z@`@!7@cL)ngJBZtDxGfvaF17ZxZOlr?7B_%c;len_8nvJiT_U=vxlC?#pqN!3@I{G zyD%fV>?h&XAk$#WJ}B$2*b;WH+`g+lv~;Ni2m4dOj`Uk*pED!#5B$upkPv}V24oR;`=wjdulw^|g~I|m za)R-x4%#z1aqR!;2~r;CPr*PeJpO&W>Dh(1Y!Uk4nCBR{rFb;i`z=R5G3h8p|0y`g z>!}5naDHGsqXv3t*T`rNafsQi0W{xQWkdXBgsBlcL$dms8JsPdq zMQe36J=f6>J=_II85(b#CmY$ABfcT*itj(yiUA1T<; zhSb^HGl*ydvW{WQv{pXZ7(|ydyPZl7E=0_c&2MW9pNCvVoR}mZuyYQ8%wzHp%C0DF zT)B|%q4REIdA}J947J}vyqGB z%i0nH5`n%s5+ztSLH_=Hu4}2AZcK!`J(Q#$mk(&%HkT>cqsV2Vwyqp+FnyKqI?+@r z5R6cIJm)h?`X-~8BS?5u9TsSm7V@4+Upf+rR@xtI!SC|Mb<1faxx@)PH7ibj%5EwA z%bT0qK$IX(%AT7N89{xdZXh&SSPf>^%f78>(4xC5c;Z*|vxkF+spZ28!P6@g-zi&h zj8gGWWC>*YDZz9M;M1q77-yo9xOLyP?A46Uu+1?|gsFw8Y6ML*M#bg_*r^4k!7N2) z^QUPf05wm0Ak0U761JL?o4YtoZ|IFre{-}txuo>7orNSSr>S)RD?j6c4qcHhQYIa z1I2!9`VQ?QCib-DUuc=F3L!Wu&qL2LKW0YnT+lw(r^446Z_Eao8RD!;LrUYQUf4S3 zu#r3(gV(w0ybbEvgcjXTm(p_}Zr%&!q|*s-4+wUHEhsMe_tZicatPCBOIyfbPC5x^-Hu{ zoI1k%>%N_u`s+8F0@HmeN;+w8`9B|gUD2uFI|T1M-RdqQ7<6TqTU9%u2P-nHJWm+t zN5F!0?`q=P^vrKO|C-l;xE~z%a$(OIV(Vq$gpS*F6?7{$Rm$5Kuqh;~AhdH;Q>eku zzu&M`%`GSrM!R#;64O6|NhP01X@S^hKl z3Sxz$i?#X{XZ=9xkUw6hdz}u=8jcxr{9>T(IwIA3x?)iF-6X2D)Gi?5*kZiWa(Z?uh zZeY)b!mCq0S8nx5ES%n}S`6vAgK#~k6~2z#T1G3# zpa}|yE7v2&1_tGw8%KkTZG?+M3WaFY?WMM=z|>T^qn7 z%YGxSfeE`O;vPYqr@N;Htr4&@{bEvWzpvS+l*H?W!xdTNp$J2ip z14&xdm4ct=oNsTt6@Rgk_Ak+syW6<^tG~ohdjQB%GuANH@!|&cQlsXoiUAi&%L290 zX;jlkb5>q3ChM^LTCJaSCt)lrJ6$B&n8$Txl969nwOh4Ic)eG2lrh9KzdWmN}B(zX^q zX>)o_ldyET^%PU(CF?!!0vf^uOBLLpx?SHISH;Ychp!1!%n_$Hk796RKJxBJv);q3 z^0rx0LcpSPS6y@vWQxPiOL6+*zpYOFm{CD`=5#9_k@Ms

%f(hs|8}lY^wWdH8%l zpAzPHEFI-;3cXVv#=0rPBJgJS(=?3UPeG{#Y6+zI#LfldjywB7w(E*$#|O$R7ulHq zfsboq!4+si)1i!nSyCo~&7)VsLW{s;10H_X|mK^-cmqC!jE))jYb6~VuJ05$4 zUtuDWwFo=;ij`!`r`n)W#PcIbu01v%Aq)LKKp|r#B1KBWjltYVpiP?PF06ZJYfxi< z5MW2WLL#R?1YKN|o>b^hDYCFlfe#d5g`PCWe|Lo@FH%n{`?m!(1^Q^__bQQGSoUAh9RqxW2O)Q(gk&JOQ>GM1@LRs&e`9X;Ngs3H&W^y zStQ7W&q?JzSc^wXJ5d`As<2UulpI{Ei2s1L{x*cB!tT8bHag;uzin#uYVQ=_2X9Rw zUVKU^JS+gvVwxCDhoy3e7e|$El`D1M7~Vi<a^)s@xl{;fkvB88D)ZY>fX zi=*77sT8U(-sNN0)^BC(Iu;DGVgWe>P9k-F07F&d}OhCBu!3hw49 zTK^C(c-~0lAbtM%=CMQ$e`L`nb9+b!#Yy$YiaPkY(IVc-2U=3wUhOn&nl=+er;B3P$fFT<0gp)vi zVX7EuC&6rC9Rq_1aFo*r_%P~cx!?7b#kD9QI}6#WL!)8Rs3v!2g7)AG6~jl&%|td# zCRnK27VwqS>+m!aB(zQU?W_!B-%2b)s1=kP5SFWwmm8O;^bp^|U}aRhHjF~3UK7fy z3;znH2_4kbWU`zI=)Vq{dFPGaXdUF&kB!UR1J4rHxG}w7K%lVV#q%M|mCyAFNv~rk zAgrHA@(n%EoBZAP3(qO#KeJLpofUkphCaYO;r+=RNStLRO;}b>!n+i`RcM4AMQFE- za{!Fyk(QoK8LCB-nC4i4%)PPR9To60lr}B4_@}ad#0s8%fx87jxhL#LOuFD=C?mIo zmVvnft0pF>5m80n4XjWMD8NYxeAbb``+zZTF|Nlc5vfC*-$R>-liy?bLkJ7qv*KZ* zGYZ)-jC|tg`D>OvKW!rJ_Xmp=mI{6rHGd^SZO<1S@F2&;$;JLmlor?fFV!>W=d`U@ zH;>)>;Qttl99yX01cF0Z3HpOL$c^l+XsZl5F0Z$*{7`I%(pbF3mMKMVM(U5A&LY(z zT#Y|K(i^!p2avn;4{-O#xQZT;jKlYbD&~qE&iH2?{-?2B=(_50=4Dj(UytTOix2aU zq5z)2gH-$MuJVJEN`s9({@2$i`oN0&LqgO$`q!-=Mxi192>F5!{zwQCK!LbMPxAPkEcAW8Hb9@h zxkc~Oi1$bH*loPF|8mtb!zbaLt35{AprD1Jj=FxYUk=SBsRpz)O`hakZ+I*zntPs1 zH1y^Wj8W)m<9Gb!;8Y<>TrRt_GNEd;jBL0UG#tw_lM!vuhOD6c<&f9if7`>8c%;yF z=@WA{A@-jVTcKa)NL?H}2OlGkDCgqhVWA@?^&`+3U}JQRDjoD2a0#S$1|)sp62N5O z{(7yR?0d*nD>v&X$3QR2;F|!Gp!=b%NPwQ(bKt_%q>k?O!b38;9>QR`3`cB#cE)k` zUu8!V+5i3!-D>7%PJQX~Q0V-^c=P6Fa#cDnrUo(+_YAwL2$WNZ;OMMf74;7U$Co^U zexSrN3B0X_9fi^9n)ly``O2}!K;yT-z8ceP*}jx2WX4>pP>8WJ6E&X86Qr52Y(0-~ zm643`qZa+^a5g|U51X{QPj1{vXg`ch$Vw)4S9~~_SY{w}d~Jf}&?~6?ufo%eEJ%ZC zV??vm$h}zkq3QO?-2PKr7+A2&<>y$W)n(Y&&HPGc$Jr=*eFk7ah&ISxB^HV2p`!WG zQ55!>SDhDA4-t#oug~JaCwe!g%9iEFDs(WPNnj@E8?@2BLe%Ieuv!!#zEg1>g>^`@ z<=!JMJkJL#C*u9-iN&uJdg}kKEGGoyTRhgw{l= z%3RmUFyz*s5m_cC=y6D@HtY7 zNjE4bk!#e{YsH<^lnxh_mbB{q_VVL;G2G2~#aa3Dl4n(@cg@AeqN1}?Q)(?WYiV^s zqESPpv@C@LAqhsrZb?AOjKV&M0%QT0pAaM9(aiOnC3via*! z1)H!*X{ptHLlf4gW^d*gmu1HjZ^I;m1k4PowipPQ%bwGq5q?l%eo)IYL|p8K;jnv* zne~0mGZ-Zm)$_okc(*rVueIcZr&nEL%{X{aT?~r&q_pfo=Ya(BA__WZ$K^Ou4qB`x z)1h3UyLn+^Shf?U&V1PH{=i+1Gp0(*BKIkEc27O~mEWUvORmqqq0@ceZ0;5qp1Sqa zw}07R4PSd!ku-sM_rwc+8f8gN%WBX!??Ne(pYQp2mZqj?vEzF&hr#bKI(l_p$Y}u_ z6Zp_*L3OD<_(OWPH=I8q(l*V;q$_qjoMd8nA4^?nEy3QFA9TTnf$#_ZbX!)+?@iio zHx`-@lhK#{ET7t#-_xe!yxVwOtzZ-%e27D<{KZI@JV@HT+5LOi)9CK@3I$41T6!&K zh3D?;O*T=^F754aM+`2HW#QKJWoHGs+x)0)NKoj6Hct2>0jSj>$qX)&@DWVfZ~@KS zNAU>0C!MR-I|CyW$|K4WHc>$cQKAVbTHRRk@r=4=HDAl03)m4}ThPl){HDZV@ss0+ zygd5&a*8OwIH_Tslucm?w*rWuhwt5k{K}d zF(5rRFU8W|ZkFcvh$_5sXqW5fND%qqzE5XFw439)3k!mg%ggn7Ad>EP8p3vZPsCMe zl>_f28xSJAUU0_^b9%eXHg1J_Z zPCfIO<11dE>fft@MGwzY;UyBl5@Dev)2mxL^aN|V*S9X$LqUoxD*pT&>cb@gnXLg# z(LfHCdfwg}@0UW*36)&1sW#KK<1qg+@6rRiz%<_2-@64@yP z7q;iHvIrT(i-SVt?!-LnNELo%W=-JwJ8sJeBcvUh-)`P(Sq$pWvF3#7wdTKb^O7TJ zcUoS^^Vh5olgkK~-G8RTc$uBqb#+PK+p2-#0>L4v+JV?N)|Z}A^e;_zQKp~`M`B!M zHM!@yQl?FGn!@+7`dFd3UVLo9Qu)CUl0&5yd)dt4KBQmX+u*9xV`ire8`=vys4xLMbOJ9owiS0m zKMy7}S@_t?)mo7eV=Cl0I27lyvMaTdzpB=uc6w10Yv_Nf>0nW9K_&ygNx|hor)UB#dc@@Rrz3nNKJ$6p3 zk~bwK%QxR-iuEe@sSPU=XJ zpIsAPQ3JQgv4RWyx44Te<;rGH*$>m3#fLr8*gL+r$xWrVAg^H?9Mbn z$4o&f1$7ukB%x3DH5Yd0MqOApR|nF|M`nEz`xO$jd%90(4SlZ|0&}7{*2%|3W0^Q8 zuFnV6K^e!TNQ|S@M@XGhVu#-bWj}<`+6t|cvfXTAF>yho^_%g7lrm~9x9q5M_f;%Y zl6HoXi|0943u)?Hj$pOQ*5gltD^pr)KyMPMc}+P}Y@fh-*x>-7`(=&MYkUf{PX?8F z*{F`uJDs1AL=brm4|(@{VS>b{UF7KWr|JWVuM74Ql6^h1p>Kh~<`q~@ zJQ2FjLEwte-1(7Qt5jLl&2u95wu2Z93AN&aR2r4C;IwD;Q)aeKvkj`LarQS z=1;F42zSkgr9}_h>_Mcrgq^?}j+@8^NX%TYqQfM>M~|i*w4v?hr=0ZOYBD9q*9aAB zlu`J{LAKH9I9JD8ZH_P;&kDTx-izr~%}1=&{sKqLvnD)cH`ZwQDzg^hLhW2fq*@?899Vs&pqidB=)&; zQkx6fG|lD`U8HN#2GuM&DaZYylj`Ebqp7T-f!a6}vCrYR4p3=H8exK77af>Va4_&# z+(ib%kcgI!+k`TS;k%YJAV`j}t1|CLh}hV*MdJ(hvgWA6!V%By!Ap#cpALsyL85j} zDQ%gX_3i+K9__5^DLpokYrOV3LL_Ij^Ok{rpynAs96gAdCBZua7HUIQ^ z9Lm^Mkg4wIPxeO72?gF|WiOX|7hAT`uZR#RG;~lXw7KJpSvt(wlr-UJ7#sl#jf)YL z*Oq9cL9Nr>Bi^9l?bm$v$yE!?$)7$*V7m>DHE;>d7xuWFUJC>C8I2oXifj%oJLzO) z)w?n^5MewX^VW_8?dr(s=c44DFZye&dwrl{HM zefWg7m&4_5O0d4?K*tMh+1n}JsaQJ7KU1{?JAHZ~>sVvZ5p^B_og1aU&D_iM?BVIa zFw_UU4;l;TuP9C&#vV3<+%PgtYEB8rIsO+|`zLR)`kOq<18vXHeydnV*lIi1`K{yg zD)?-ElfZ0m(>eafUsURcF?hjWrVY^dV^GRV`YM&?Hys@Z=Ej9aA>6bVrmbz{c@6&9 zoVbD%3U2f%Ftkvu+;0%=!re^Idx4=)rB85DdO~@4TEDh8(uMQDR2&KV_t=AaS?oaRg_2`ictb`=o%U- zLFUVsTe<1lRs6)=lT{nl@CPOT9y_LI`Y4??bH1+~27!8Bwlm=14d8hNN2z8ucNbf# z^=2{sE_uvYk5!BuCYOtB>EfIVqm!{(tIy}8s(+>(Cen*A3?4Q#k1JsXcq6$+5FNQF zqsB;y{A=8;9UD!aFPZAB008bczbzHT=$0C!k~!3oC0{B&dP+ zY1@ve(|A2zU>@`BrBlR9yFTP&w8mB-qUO~cVMC^k4Tg{;W^XHJ+689&_>v z?XaCy)ycjI6{{-c^V`dUv#RenK>rAuY;bUzkJt`;I1yd^EVM?=XWLfL9T{C<;gKbe zZxB|~;$Fy--}M39U&-7|nU{uNQ6O8)K0H~75CMB??bvixL-vb?2sW*7@4 zsXqrT56hxAP=Z*Y#SV_j>o{(|cD_ut9T7Ox6UgFe(HDh>XVN6WJ2&=IX60k*x7yCS zbHxPA-4zg(v&GXd1uyS;P1hszx*^TJ$kxi;nwa|rzp@c6@V8uq&lc0w9T5gWE|ts~ zN~P~dO%Vu~bddfb5FdGZk?$EHg4hESpoOiFFsNIUPfz7A;jNWR z!vyV-u?Cl#Aq=Ji-5G+0ITMB)yyb19q8IlcuEvG9?&ROXP=d$ESkz1c z-KZ4ybIu!UP!Xg#c0HNqzJ3z4-UQ&0XjAjNlb^@>#RPwKPUoDGB$m-u-h5-0i|e98 zwYSYbc%*LyT`=-fx3({p!Di!*u!*^+dT)y9^&Gq+zTwEGzCN^|JzQ`V8LJyP(_auc zmIHjp5ZSJ4D<$u~>`etQI&px${g!$dl4FtMZQ`wWk-(S4jKkrRlFMc%pJdcp1XpH) z2mSAP)_3C$Vdua_px3K=a9yhd`J?k(Xu7N;;+&j67%Lbqjq$%QEdt`|zaX@<;`X>1 zQ{kZo!1U5tbk9?A*!+n=*rT5Qm=LH0ZhzwEmW;kL8N}Vd6!}UJV;Tq;*Ri&Eif3Dw zt+{w_#d$(8qbn%M9BYE5CgV{a!4Mw{hBE4!VCY|0kLVwY% z{t;AF86!+K8GT0e!`y5CjXTttfceHtsE(UjaRsrNt5@UcXA60fDlUi*#IhY-&PezP z2BQmnKF!q&#JZ{8H9~-J1>KRZD4-MI(mtok9`E@uFG7!L(^!4NOX%-KZif+pexL-vqG71_|f>4!}1v%m+f_}LdL7N+Nj~FJGAWJ zNUt&T_9JY`&ExO0~_}xb5GIv~$+`pit>lRfqcf{G!g#v%^=CPB=>n=%*@Qq!#m649=hmQpiKMYs`0~_+Ir&_Yy zXPpx&ErlSJw@*Fx8R{5WjJ|+_vqxE&+I8ib$1Xmf_YTaxV{K(qH!kM%R#`9;#|K;M zqk9wB^(;nlE-r5C+*t&*6>_ir;^4#YqCbiM0zw5w2&H&b^MU!V7c7)?uTO}Xo=V~p zcw+Kxmkul;Cze21EP!VG=<3r=@pWvze(2NDg|N$qc7O5M{6x(k{y$51oevY>eO^;_ zo}f6~FfqzDeksmj9eY8{`t>C|$B^L>*;#T81A90GS zV@~M;@=9xQJxsvFN5YKz3<6XC-NcCmIkr`~Ke`rnBEn-$Xv&w3@_TNlv;SVSCAg}i zQcA+6$Arw=+D+8OeSCJ@D;|Y|Z+=c7>w{^;|0X)d5TQ|!*F&9_R(9IuQ!0X>zS142 zs;kyGsyefwvuuQ$Fr05bIS+{$s%E%wQ>5pjrr8wa2QiF-<$l4~eW=q&>vPGX3@F^Q zFnRg0#M?m6V29~yG|UxA%S;mHp47*`^1dToKZTfR)$Vy{)NB0R_xVakV?(5(j*-UI zB1~`yb=?^eWd-{~YFZZS?mETPlMU#G8p~Xz)>?(f)AdiYW6eEX8NnPfH6$wRXveKB zcAw_Kfk_>o`)lmbbP=CYO@~w`1vw zz`mhSC-sjnp@nKXb7VCf^~$c5Ry%%3rVCg`t!x=kF&j0!(o}(f$p*nk)xBH4Bilc# zhro;1UoZJlNI?hL*z3|bKe_tivN;dT4m>qY_mfN+3{sCr|0vSB`HMv(CCkA;`$8k( z&XfS_QaL5Cr@&1B$2ovZRmVoL>5~ubZqi!2Vu)*^K}kP<>v?Z)N~8YxP6jJ`3~&Rx z)hm-p@kUg1UK?%X^jWp*(_F9{<3h)+YmMg}fw+rVs{dir4`5B_n_`$(a_Uh``zJz` z@gHb<@0xwrk?0eUN&+JAfjo^1j9$r@o=%oZbU=cxiOF1wlcLNnIW4v4>_ZR)p13M~ zJM`XmPZq+_iiXXLA6s}hmxNP!qx#5pYQW7*%@T1JW6k@=3bJ>r{C>mH{ zG&gd@68U0pXz1mo%^|J&pv=rM((!A@H>C?$3~w-# zV8!~8ua@kUHI}UipP$hE%PG6gskdia6zI7rnmV9~6yikYHc|vLi26oi^^WE^xCi^r zj>UTz>2t=D;&y9q7LD4G^c2;dqF0XzV?Q-2)jilv~*;IqlndNbqOr2}4jDey!Sf#(b5JBi_|I9G$;F8)uf zo={D=pF!iipR70X*Yth*SKKa_7Bd4k8=a}^tUSjfZ(CF#?s>ZKP_-u*t!bd`dzKf; zM4`o`wL-av8{pnJxDZ@#D1cQJi7pR=a9IcUohP76@y&(^bNFwsvVMnoQ@9k8>;L$ zQ?t(>^bk8p5(V0x$+yt&M5FyM#DjfnQ609ehttu}T2zx7ZSuIm5M5(NIK8$N`U2i5 zW*KPT;z#R{JJ2XoKW$~aQ!hb7^rIT4>K%LHzihqmp%bENM-I}4z8eIAXNV&VL$Y4A z9CHs0X8A%&B|bT}5ZcK86Q?5-<3n=w4Rlht?;E~rx617_BJC*i#V?)8zM)#_6IVnN{O+H{S@Fblk8fcBu7;tSk@J@mJoDSw1fga(~z*tM71%esM=-rwW zfC%WGPr(6z;5df$GK&zwds!@l*7~;S5&RDqxS;Cye0{DJSRcP2pRiQB^jN6VkpWdwr`gY+$a$3giX&rz1SGMDjZh=SqLZ&P3q%6$_| z%uWW#Fgw67+kn0Ov7PB$2TC>8r^#>MJl2iqzsGsYdo@uKKMViQq?r7Ps?dbh!8q5i zI(?5es6 zb0%QzqZJxF`Ev#RX~EB^28E-AyzG=M`T-=`3hOHU9{XiqC%6)lH(JCPqHR=j8A>cX z=8Z%hsh>CV>!t=g0mpi?DV`qPZpmytlr^py3e^(S+6j&;wvx~^ik^>c}w}jn8oE7z0O*idFSw$4#XlNOWP#l*n9Mfd2-9*wsh|EQf!;~^7 zr_@7TS`OZi-S)7Ka#Y6Fr1z;R9i~isSE*GDA&!a($9_Zx6;gb=#ki(z)0@f-RGP}= zu#64vfQPt(wsR%1!wmS-y6bb>IVvLTwUGU$1)v7aN6bYv%~|$rk`vu`g;pi+q80;9 zV`h$F^f?R)wzQ-JFz*bI&}qx%>XdHI#JkIYsNJEF!xl4t(#-8L%@%JGRV_6xSwM!M8><@&NDYKd;!>sD!OmqGm%Jd zI6I_ycM~ysJ6JD6fso3c4XbuyxK54Zky#TQ<7<@rjhY6iwB;O*C_Xm`_I}-9xMRGaY4Pje3yi_fnL5V*D5{49`C`+<&0C4ujpvlgzc+MA@y5-3*$r zUvHecVYWBWb(7@?-V7SyveAZd>_o4quqG z+LSZ=#nV;p5OMJwbm69v_D~7;l!VPZgVmV2_F%y)RdhX1wKyaSL=Y)@JrogJ`APdH z{wz>~5W$2>_ZcjqK?d4Rvg(O6%4_Sw*zJ)xf4cIdT#(b8!9(jDjJ zSectUHfs{^uYAjQ=xLV*mcLGmx?UP2XoMOvhwxHd6N72)@rBy()WJF3;-@ zVoyozmY7oI)wa{}jKHS&9C`!92FcuwCd>Qw5mp7^Sq35gG`AgUvZ@*T>%t??vSiE~VNM=Ou;0GXbVD!c<}_B6kp=)z(;h};+zQMDahIxxG7Z3IW%!#3TnK@Z27(n2sl6HI9@JNwe zb&*XmLILjGy}FEhFO9|&50x`;b=)$@eTZox=}I+^CsA;r5Orc#yo@x9({m96i3Cab z<-F$Xt(ivVKw7EfaD+V*`$YAxol?fOF&T${(Ieu2YlED7)RFo#Kf{pId)apDsKYlqkj~svq%A zEFkZP;R_XQP(*m|xvOPep3WVb{a3jps=`Vesp)|wY%_W$Fr(#n zlv7_0;-bPKi3Rqn8lmKXvf{-bSjfnIR<|_7qnDx>G)8)$*zb%EgYSfd$KYwviIyt< z+21A&g-X$371qW6UiP9m?@kOk?p`Stwa@lKdy`ur6u{C0MG? zZ$RUB-O)`psgG}Wo;=^yrM#Ci`=*XLaOJpQpwtdR849tCjeROR!p`&|RLquviA~zk zQlu>%XC;n?JP-zkPO_7GqVVEZyRu2!{*pP{`*ox>S1y4>E_5dOMC>17&LOh5^igw= zd|)mr2AWxtJZ_41^9{w1b3^GIkm~!ExOKKj?+jlk|5{zF8idk)$L`pV`vnHTOVZGk zA14y#R-b}bz#XY_6pqkva;Kb7c3HuO*pE&8zz0-KB3=w8fec5Og_S8h$PHFvnom}N ziFGs&K~7t(pcl3AO=llUva*>`eS|K|V}?6FOE%?d3X^Gt>`pKQ6_l4U2ImAw*PeiY+JEkZEsO#=Qw$)?HC2tY#$x zGzb0hQne0nOfpF?;EcTF?`K36X*B)-yoI_FTGkLrOI_)kU_ruj`h3q@CzKGPJ z?Dgz__1#w~xT*33nd)hX=X7K%W~<%D3b2vudQi8&?mYG*M2c&iDD>=oD#J$3GmhS* zB8|x4{rQH`0kuRE$ZsV7a*B12l&bBU$sEY!@!VwSmd@TCqY5;9lsWC{)M)4o)Ynm^ zZdo6*X8i`{SfiRhMY2y?AAu0!+_fol5Tf8GD-@}au)Z<}cpP>K{{FT~11`R&E6!$CIIirIYz8cFRt%~lFg z!3c2Ao2>wzhI&6)Rxx&)50-CLg@~T^04p4{1FRzq>Rt-%0s#htK$VXvV+PGP0b6Td zWdy}(5ciq)s;ZH@*luvzzb+hWI#4gQqBws@%<;u%247oH>6%Ab+Ew3QBzE#{W{YHU z4YwHy=d0>$(R?y-fpc_1)v|-zn%O^4?5`FMGMmZ6e%VD!eI8)?`8>=tWmX>~z!!Ws zORg~MHqJaggjLs%{ycTq+lJ`4o2FoET*zj78l5Z@!8sRvWhr}dk76;1h@W!Sqb)a# z-*g@Lx3B^Yss<13`g03df3}ROD*4Uli7VN+CqnRRs4cP0P&n0}%%%>WrkhlIS=+o& zXnfS`wcPkY0?T8Y9xs&LF9tiy-gA{M6|0t zK<0)3lVJU!ANu1G$%VWwD#mf3phds79L$jU-(WS1vJR;ab_yN8b&%)AR*&I%OAbrO zSpeHr&WBFk-1r*|hgOdGZHS9vPvJXk^w5n}MFOK3)ChPjS25~H*{^;))ayF)VlZ*s8+WmoKS^QnN zk6)ZCpOAlFy{G-LR@>ABmNi$E6x7hNN2y|Gye#xv1>OJB%X=h0xa6&~S=;o8HxZ zN&R7JMhjzr!hh-a;JG+e`>in+03wYL+LFZ5kStyi<2rUfFd=a&NJYW_2;ioTh8m$* z+6qBomN@+RofClPQ8dM5fX=159cL7`gql}wLj&B^(|QpWb^uCqBtuwy%Do%gp0SU^ zbfI0N&FOBCOa*HgPO`qkoX@lQZ<1qSZ5^AP)#-@?-B497ibc?3ugE)J_8MdB$Frrnn0l?po_1D7ri2Lnd!#i8qeJUjayXc$I==s zgT_vrI_y}{QkK?mQJ7|#NCvjyj-R>j(i%(oU$6_PrjYze0FUL6jXE+};fO@Rmomer zk%rc}TtaFlx0IUw+-IA?X#k3{q|}7E2Sg+tSN36-Kbm8!-m`AUDJSmNilvJpG25j; z5hwiaU_Z}kD>N{L<+sd#m5?hah`CD5XT;802*cMez|a_udi86qHKruno8JP4S6#{T zNeef8kcueUXYxE0FKXID`mZ-;pNNFo#LjlZxClMo77xE#pLDDDkdig zurR1_e48k18glnvpyEeTVvNQedc16Z*q`LDElIo`2rR9eWowq@_2lums6(K$3%jn^ zw`L1&-2N0(_i4h=6V`S-87TG`o`YGlE#+DaZ`ylTEBVCesyR# zUcAy%U&8fMqM*jcHA`f~1EpGyxKAi!xo#LLySZ`m#vgI<9LCXzamn6X5!LXNDRY$_ z{L&SMKAI~-3~1xj4Y{!R!S4~%pe8*g%q}cJteEf3X3I$H!TF`j{WU#6#}kiGR)3bn zp9<1J!xe-F8c|WBJw(UJt+r*2PTx3#YY~=q;F8i*1 z@iCQ1tq^+!A00znqqffGEdR7Jr!Tv3=VzxKZT9m@CZKbkUwEMrUAV~}+e z*^_;lgtBA{qa+GrUqf~^gqVu5me7QfH8hs7WvfuhzGmM-l<#$q-k<05e4gj~A3Vn~ zKXh~)?(4p`^L(AJ^L3tgrWdxBW9{BH`eDu|YYI=pr@>biS`+$E)BwmG*WCV4`@WkN z|0U8!%d35PG}X*pOLWchgO;5ZwfKeeWZ2ag7cX|8v#{a2NO{!zdhha%2lUq_4JTx` z=l=|S9pz%Za5db#u|QZq8N{r#)4{OzF11YSaOuj!!;VR32F&~xdYdZQMF!;>YM`8< z-y7c^y%*E!f9ZiDgy3bp7vVo|M}Zs9Q`I?^S~M7|lStw# z$JG7Jk1$)L9w5@0ocbujtZau+L``?e+pCv2T)o;U>TwIPhM6H`&IQ6%F!VQRtaC2x za`yu(Z}AY?T310MvjaIz&=5v~Fd2S@m5;)%qvme>{$I+0*r^<@)O-p?!#yFZIU+~p z6a2JY9+f<^&OnB#U;w!Jh;NmMNrsauj~&avj`{lBe$X%hi`8tsnHs=Hy$NAyYQ9Ln zmj|@tDTIbDe0lMVry){>!-i&wNm3j;9MWmJg!8S`D9Xy`2T3L}Y+DfH!}u%lRfNo^ z)+~MwWQ($p+4$;x-~}VFCg8Q?Q9J@7HKp8467#kwkL<4d@FIv-p?#AgSVw(Sf*mqq z>cWYdWWT{9jC`1>;lOV~ay$2``7uAOCbs&mKh~(WLX>h{&=AY$dsI zGL7CwhnMBjWccGT{&cZV0}-|g(bk>FbfLx`B zJGJtE}HDRb2!}3trLsH$B(Q<)oNutfRicPoU?g+61 zcjrnV8k50W?XX^4~Z5|XJ!RrNUD8h`chSU98 zpBq_wN->7;szz^o9iHatSp2-q)HtC_Lh_2eY&$&VeV1z4QB56I6(fQCK%S~XMtxX# z9+K_sF+BI{&gW0xKI$X}%C$b?6~|qUmm*2-E=x~I5P%BluhlGLaW^H5JQC~-ai-(_ zefVlbyRq38TRc}tz4ykoSc`i|J~fZ@iL5$38OZiXN29OQT6d9B$?Z5 ziyUK3rbnC0jx*vF!p5?aYrd?8*=_o>1Xw~IQ2*h9rPLe~4vp%mD|;N~l5#-@^g3zK z-16bY83Emwr{b$p9%dX-(*%!3|{MRX!Gs=x9ZDwbp(_l)u>S zqQj90on{4RQg|>E>LuZf9kH8un)f$_%XLAGs0Sk1M+Ce(3&%uTM_V@);ZN zXR>YvQXN;Qw;s>8!K6B>+gyp!tuP#h4|C8f=tAk*&OLtLT};5{H^pAlN~4VSLZbKg zk+sbavn`sLrxC#KuGG8+7KuJ#G;o==mVQUNOI{SDz?|(r-+skj9j zXEMy*#@1ApRO9#U0yqeKPoYIxn|Dl45e+( zlKhWE>dB@f`x2d-N#ElW3YRT95t;j;{$YesdgJZQusQGh`Y=g^B9P})*ezg&WyzZ_ zwW*M5T5?rbOu&V8YxiIbwY;!s#Z}v@Lb$s>m}{fC0Kw%q|M^pHA?{p?A{j=~f?lZ( zyprqku46&qJ?w8Pc(Q$moBD%HQdQw{St!|KcY#iteD=)N^KSBOX7Lz@C!J?jiVi0n zU$#E=$D%Z$q`+Ij`qu@>0?28HB6`=>QY+jKn^xOGB9Qem`S2uCw7c-{%+)bH7B@voXE?aq83O0$lh~?`39mm zwCGso(r8(uZW`a6k2v}w8fy|u#)PJg(!=-JKEPbvO;63szSHB|8C4zWLy z9B&%wbJf7#v;R4kBu(5_NSj%#svY*h5Ub*>^#mKO7J#gx2~k%2BH)af=zCCZIh=Mi0VhF-|CGy=D3#QRH9}|DpC3eUylc7Zzi!kVio7V zG_v|-AtM+A$~vl{7i;UdV+DA3u?wj`g{U8Efc^2TxKRk*9NGm#8 zNy{UJE#z314Wsyw&2y)h_kCg3b;kxft$q;h-ctzUq_0QY6I(x^`!6LQVjyJ%O3?ST zCQ8bgpH8LigAm?Hu+UoGiW}D;Gm+^9WVG56Bix&7PS(?YsVVnV_K->AjD+{j>@NF!$Ys1?!;t2 z6euh*wwCb)p8;X%?}D`t6gDrZX%UIR?0{a5h%=9(rulItSx5L{w7~yZBdz)eY)?Fi zt%HSUwa(sk22k#NJeT%$jz{Z}i8-0~&%y>88ci*agAa4@v&zgwVsS5rO=2syy^qY^ zu>O$WrbW(u#*Rmvd}S)`fw?rnciZq8UK1u43lI`2?DI7U?yJGxMjbe$S08Va%Jyf( z#=J=sk`4r|SNyVb{UB-)ECm!Js$ec$S>J&1ity?|b8^2GOg;5f5ERSp-o=Lha3Rhq zHB>-Mx_%tU66$5#dIu_a!Jep6*RwS(+%dxhr24m?ZDaD?8-7DX{L!R^5YZ3GCv2E(p?>Rs5$JF<+faFZT)Ylwn z?PJs=;l<{MNs$(2ejo@ENU(3*XtIkGt`Zj4CoNu zx!w;7EqA;pnx2dQoR4Q$rS>Q-l(Y%=x%aKN9j8+-YmuJrmH7$wK=%B8}Xy3 z8ut6TwW*{$D(l##3H396X;`F|7*+vQsl@y>3C=1F7z}Dve?>3K5?!Tk?O{%H%#io} zD%5f+OY!IGQ_HOp<_MpxGf{0_w?2>?6fS#Vu6@iH{<0Aa^B0mN!|<(J1kZ~#1t%+n zXht4oCLkJ?d_JGJqC4&EVwm((fI1SG!Mx(mG(06irx^+xNrk0Jeci2gtI~8~^d0l> zIllet>BwS`3!vr;RBpC92}R=Gi^e341e^`%?nYOFmb#CfrcTsFD4Zj%DT#UUlOxn8 z0WkE;U3()mt*68srY^u2W}@q4K&HrJ1V&a3EuP6isph(EI$vMaRbdgaAo$ftt8X?* zWzshVs1#9{AYTPg@Ty73n6n{i$ItIFlsH^3ZHe$rV{B}*=KemF)tXHP+woRzW#alr z0V6K39dYBzKWr%5-O8k!9m~6ROvK3IUHdm<0M%YuY;_ycjh3KYb+I4e(kWsJs&TiL zezQxHCvNcSA4;f~M7)=9M%TsS_2LZzF8BsVW5d_Rv~s`z3q{u(1dObq0p@~!e5VYs zg0v%VT|%D!O_WS!TRhje^U-(AfRJvz& zZ#3)9yGzJoVN2bd{THuYS{W zG>@|@{NhVbJ~5T^#vQKLe@p>&z<35c9xo7`S1nB6}7x`NTe5rOt&iQ+;&H3S2lae6p{>EGm5GLrE_lO4AuTwXv=ErJ-1N5->}`)=Wz zI^V-LmjrH|>k_i^+vD~Ubvs%#2dv({^EcGwJ|BMahs2AO|KAdK#dDR`-5 zU}a7nDR1-DTN*vsf}Wk%9=h;YjB{SS;u1=pZVTu#HSH9DgJ?JIk=b`|HT)y`U&k0i z##j}b>sCBdIPq3MUkYqF_?FoFC&!K*7X&N^bwtJxOK_SEZ}P;5H^%tQ@1xI@yG;`=#SUf6*73I9Cum=k+D?FmFR-~%kT zmJc?^UtjC7(!egj_?8#lG0jFYM~SSFK!g;YtiHm0V_=~Gx9yGzx}?8W;B#^|cp+s& zA4C=6V6z>mE)?z)nyxZbgQJYU0w|@%A;(!ygak%w)vZKq-&~Mf*UgLU_h6U-i!XLG z^k~=&7LV`@w9p<98y@|Ywl%-oiNNc@vl|Q57+K^|>{(2gw20o_eFnf8$mv1|YUB-N zHZk=m7Q0)p05`$TrzP9vww@e)_Ni>DegnIUzuDEDaQAkYGWpK^!O#7|8%df!pu;0H zs;K2r^H}vWO=4oc*%85*-JgB(nI=AM(0;Hi&*yd!~$8%P+0D4aR3^!62`Y6NL*ta6sTR)C)kt9$0kt zbrQM~PIlZnd`t`_4s#OxR6|CvRH1Bda&xi#lzxFpbG?S&ulRI52(0eSP@>IWK3JPC z*#3jQNi56L%VWqk+VNYr^GjMCx->H9l@e=TzxrXksh%rx4zHJFGkgl)I-~nl!XA%6 zVdXh!>9#&d%yO}K1q)l5yQ*Q9t`-PESO&^PwBL7$-ao^INZqU=_rx~`Y}%(owml8- z^i~xvPq*P`6wC_xYcJuuYOu(Z<+v@O&w`St5mZC!aH(q79#JF zFQ5qAXmA*Z>$up?<$Y|(2)U_I@tLFhZt50`?uV@S?Z%3xFX%rn`#pNNE!LH~vaq}8 z(@w6MaFeEm{?y%r@Ptc2{NFdY`8`AGBl3Bk7~s;UzZl)8$P$ioCI5;#t)qYv z+G9o@U~bU?cV*kp%nJie$A|<=0>%IGzNqg_T%$I&=U+BG`Aw{@FuOb|#7iH?5>w9F zCQb9(T)cvwJTazVz>gSG=NHx|V8;q@vWstxKoS+C%%_%G(3hz%GJ;dK3gCynYQ_=n zc<9ok$WTQHUuLR^3ZoR*>(0wr>qZ-!o?QLl_OR~x%aqv)X^E&CdECjISY|3zy)ZNB zf#VlDGe}oKmw12?t#12=>XNd{O<$oqm$fY@K{Ra`7=S-rh?{~IQmCoqm^5*|yB&Iu z12>$Ar*Ey7xbeT4^Q$uEBc1;H`*g(xW|#%!`5B**hq?3W@7!h>GTLAnE^2=sUKbO zL+JqFtN?;hbjY*Nmr}QSNQ$#@~hv*)F@r<{kx1!+li=UldSGLTm1T zl64H|O=1E3p&HqDDot>fU{~xGn{dOLc(VVA*;;{1Z(ex+yNml}G21$zkHTJOEM6D7 z^ZIdWH+rfi~lJ$KX z?^#t8ldw1oS3wlkr0ioP&Y%7^ohUgsH^gK8npS2E2yR$cT0dK{K)iB|@PYnN1-4kv z=i(lJ?j8~st0^36v;9T2D$2m&d!2)uCCWphLnA_(9D#4G5Q=u=tDAUq$P2Sf$hw*J zjD5}cgLnrQOGK@|>1TJ0(aHT26_*H36!Viy?}RA(4X2LR8$ndS=-l2-Nwz$^z`Qu* zHadRA_qWpBd$9PjhkP2}x;1+cr=>HoBwN&rhny2hm#TW}0h;1wiIMwx$3p?-p3;lg zi=CWcZH%_05d}Oe9k_FqnfW&%JOZ5JW3{-?FS^@L0K543_8Ld0UX1F`+(^c=i9U#v zzQn-C{_ny)F}>SzL`W+D;$wV0x)RUDGLdFfR2-H)9DX=ngh7oQu^4L}HsK5Dn;_VX z0FXp9EV-y$1oBYZx_qr6JoA$ti*K4Pge(q*l}=yLcG$h|6+0-sdNR&AGfW_!N-#S5 zF7bZgQhsOCkQD#ApGRJ}mC=KE6-=TVsd1C30LKZbiKNO-UTgAN+^_}v+Xsc=HWlj> z=A9|52q8XY3p3wwrMenbW)vEw6w0JK2(Eb!2p9`(zsEJ8VxiPPG=k76P|9-$Bunw z58T$##h-n|u;Ad}r^={^iuL;nTut&fJfgs(k}LT>v%F|B`^i^o6<=-Fsz(X+0J)uc zR$V*2v(xVMQ&A2)GYJZ0OrBf0QDUXHu?Kp&?}(|u7Xpr-N9@>e+QS8u zvcUQUVqKb(yX3&tI}fo*>a~bry6T#p@A)l<$^m_RTrz;!3zCbbJvXHh0@h;>!UcO= zvv5iVFB6fA61KjjJvI*t8&;MQPupGtBHWVYQJP+cgHls#?iJ||TlIvsk?xpqRe2PA zTBhP0(HC*-q#`-DmTL4yev4@tU@Y$z&;61l3o>>UFzA8pU;^`CC0*`CLm*0xA8E%H z80EuHfAY_^@N6k*96ObRGhctmVf@Zz*kK?!jduxuMDXEO?F>Qi%SOh7ih-33(@OVw z*BV`Z(hY0zc&;ey*h0Z6sk=O=lPu}H)5ba=-DI>3CPMp%^~Vv4!Fqyp*PBEbq@Trt zsHwwdq`H`R5Wb-34$m^$kY8427M4fGC9rBD8p@H=qlC<8J={c;lIByk$`L}uBP*Mx z63`e3a3CaETd!>)z~rpo$!`F~P$E#tY@|=KR}FN6fg*WEv)da)fZM*dzB=52KdZrf zu3OJMNON0K%EFQweNUTvWej^1u?n{Gn@v_-^D=U^e?Qq$Jg&se`}5R_-+YJEeQfEw z=?j5Co*`lh9ZBditA2p>_D|Tp5#kmi6`ip*!x}Z_mc2lNukW z)_!%O;!bu6mP9;hUC8<_0oTgG_KqbDeY6=aOgwdv9HDT^%K$KWOEj4O<@t}{;vj|K zF-nTA!(H`%SU&2TU9{XFE;d-DLc=a7E?WmSGC>cQu7JvKkv$y>w7wvgyam)LpXW=L z|7b|oHM%W%oeflNhhZskD`+?31t#zqZ=pm9V|xV>)h#aFxc0SDcy7wkXtIIy;*9zK>Ap($zF ziH2#BNe|dU0A~c$>|1tKx$b_$=Y(OYwaU{8EHf5o&qNzZ!hxD8cZ2}TZ+YN_Z{A%w}B0H?+he%HC9>;`IZ%w!d^AhHkT61DJ!{T|=?`*hO5ZzJ^6k_HGWYA8PHD z@r4GIchM!+GVwo&KKB_m(VcajAEwH~Bdk8sNWk zY@lvJE&ZrIoiM0a+&&Y6*IYl|a%NVV*WTuS4p|~Xa=vnbGyHcCI!wggR?j_8c!4l@ z6vx&83b#8YJhp|Zd#HF6Q2Z$hJ_@L-*BLnNlWI@m*oJ7%>wxIn=p)ojhB7O1j0-LPn?}kSm-?`8trwEx!D%>n_$rA%H?NV7*>irS7 z;%KOl>POQG+aifetfIuC6*Ivpr{AbDV9}u;fag8aV0XZePmG%WWp*H`CZX}mMPjrr zsJgQesA^YgeOn~WeGG%Ca#}*lg?cHVPMopEHZcV}h+wMHvLC~)-k4(t84c-ke-NJb z|CFo)nS}mmx)?Ww8gV^I)pB4wrT%oCJfk#YKBM%son1=8UQkB^d@jyzm5>7Jl_k7i zGM?8`C#Jhs6}i)xe;LRWi6u+;yT~no;=^vVJ!A4+tiud#SFuDYy$@b5@Hw6Eck^c?gx!Nko}*`80!P9}t);^k>&r?$eb1Sd+8%jq^sn06h|nm_pWILo9$}hO zeS=9%rz!|m4}*|(d=XS*dQGK-JzL;>Mx#0BIL-ee|~*!Hw^jbtuv55qWf(?iCk zfR3mWx>VgRR9j74Dq>B2iG7`Qr%!+X;8g-QoFta?6%WA+)}vIkNZN!$7|(bINA`rC zb1>>ASLy^OP+;U`Do?QGX?k-|QlE_re`6vzCF871mT!nNn}u8dM=6WR_YLeX)CSm2 zUVrJYmI7M#iO|uLVUyt(0f((Cb4w2gS3nIsEq{IZL4~Ew7Gao{`Op^5`<3DBx1fe-vblaWWi1%pw5Jd7K5JRh? zh;xCgA$YE2S^K_tiWM}1d~DmpUJr_o#lszOm}h+2BKo(~_~=K_)cIf`rlp;T2zE{z z_Rcg0RUkdHJuXdi$lg}9;D)Rpzmf%L@Hsiz7utVmG?JbsXAVcM4_Mrcgt)DbQLcNgh+KHRy1Pl+Nap-q?VIIGRvfn7;V-D#nL@p% zL-Y0QGd_JluY&WgjVRt=c4xjfp zM9OAdQ|)-@qRyZ6aM8l~-r13aSWg>eIPzI@Id+I4tT$|1(p4d9`gf%N1Oa4lbYh3 zj_CSu-tgw<9hT6HMr0fT#?1h?p_m7^!EOJ{v zP&nyj@|7>}>$B%Cx&4J?5B7J|4LR{lfts*#2l&hDOEXbJf(nl zHBpFJXnIZDgbbw#Oy+aduNC42wV-v4T*q`4UFPEoo?kn6Cxm^*8xeGg%TLsCRnZZ? z{qsx=x)n7Y4onPeA3m5>`@UNET0Z=Pfvb46O0lL<^kJYM&Kb7zB`hd8s$He;_fU0T z@34#a{lta*7uvkQ2AMqd0o7e}ts6WMOi;ByFwB7bkpw5LS7kF`8k{sC^-u>#xc-C; ztU(VGRP#o$zbqldjraHSJy*~I=>~dTDt2+eo*9$n4*NrcGuSQOzKWhsPx;(u>8%sJ zpc*oGL$TUbN8?W5La9iJ6so&l4d{(By|QJ@r-?VdmC*!)vZruBi_nrB4+&rUa`VQ1 zp9-}ez(|Vzx>$4uTzR7(u%lnS862``JgbBalE+$s{PpNm*>sQ2%h7KBLf2d8UN>>4 zTE~1Nb-ek2zxPG+%2UvyY2lMcNN=%8O6Mla z`JPbj&>#?^6HDG;OPfPP+n2N;$`#!DxVymS-_J05#|@d|7N$_;&^>!%`toxo+O(Ah z`6+SXj>(7jnMFLWr}&Ko4wtJ8?>_tN<9*q6+K|pj)i1<>^ej5c6*iW;)WGOE*2dPr z%UF08*T}H9MF!gJif#CZ)l`FP`l*+I5c;g!DJD_u zbk~=9;ineE)k~I~I6eID4|~@Fc>?JZT<&XLdF%DMoOfqHYR$MRQ};=z{472Ht3zFF zXDaXMGD7xF4VDUJNvJg-UQjcW05AS8_3=`NN^4C&+acQ3^Qri)`JxZ_y91vYhswM5 zUe(=k*Bdyv_hxAG^YpevJZuG4p7AWa4`?!KI|AM02youR%^$TbCr{cJWBbH!tT zHNR`FzovK?1XWxzRZMcbyOAMQ^{#*DRfC4=EwlcUMoGGUj3c?$zrVXJB-j16N=xhg zJx15}Yhb)@s~!!yoJ~wEaqL_vxcH<3=chLf@-Ho0f;#7W!}Rmi!*A+m#4-Zv8sdEvVsV(6}*XxVS(i zP)4c}YZ#_Z6B$C^P+f%{j^EDsL(dL1A%T7efB~7of`CD*t**RM!7o&>~G%@KK_>u z7%WaaSR5O*bqZa|N=Nlm$$mJQr-KIl)OPgVO-$zQ8Fz$(g1&-cW>NhTv1@Pcf3q?+4S*58LH5ugz-TTdFy7&IC)| zn{w;UU-1yr=t_BTOcu$XQ<)-orJfhXT?IYLl^<9!iHMgr6ycp2vgK`uJGh+FNgWpq zt0Y$&oD8joqj|q-x=HxxwvAp&N4x#+oq%vS z7n=ly&J^G)9@4&dv7h*rNATSlE=9)&A0*gc4A{5&4YEITn(x~poL}Ggvi#y>Hwsbs z{oBoIUSNdkBA1Cjf0{ZQXXYD^7sRaR?#~zr_Q}9*hGO?vS;7w0aK@#y=Z|cle`T%b zJnFx3?-?vhUx`s@>{9hdw){ zA3s)*wTC~RJaKp0fuOij1@&>MIKSIbEcO4p=rhQEg+GcsL9`w?&NYvYY4$XyA(SWP z=#VV%vnDMP=orql&z*bAQmm^I5nRdc3f3uc`tfEC1qG$OX5wlv42AWGF%l0&F}DNPa7Lszei5LiTb6k8v^ zd{UA$m(%@o|A5fm10EwQ1I_&k8o4O>z?#vunJ0E3B%$`_ce5k)*1b&Rutw?9h$jva zi>-HBRGcTf`~<=)_vt(E7n*>g6_T-}7=A5)aS<{Gce89&+>HXzOIGw7U+INGo%w&L z6bFm{rBc)c1qwhFoZSQQrBE(?<`KOH!8%f{GG?1^ic>gpiS_I?SrLppsJeo1leBYF z4V7o4Pu}*-?Y~zSQ1(TgI$e~T-os?)Z=cG^a|c;T9o8G|->jD<--=lGL_5T{3q6fhGS?bMtQ|2NF1NBy{pUCi`k4%FpVNGNfKTMW7mAXf% zHJ9-vsD+lh|DZ~Gt35Zo~*R|tsZle~WwX@EF^lD5aPD+;U#z>rTZnvxlV$DL= zgETFlsb?+4!Z8&|_PQuySdpIm&q;FxqG2JcaLX%{NSWgCp(D)a1a=P>WpaGKGtvGV zLf|JA9PGESvRaD0+V^_U{&s?On4r&-6Qm#&%3DB7oG1b2p3`WFefLG zGXDP<)fJp+M+2j|{Q^|TVN-q+5WMR&x}ov!LxO*Q0XV!hHM0+@==!%`3n!RUde*0? ze~q{Qk5V8jPLeqHx6Q)8-ahdZn3ICWizEB8w118Ie+v))zlGQ2`@a(pOwFI$`C-{< V-!97^1Rs?+pr>W1NmREB|9^qFNE-kE literal 0 HcmV?d00001 diff --git a/Graphes/assets/graphe_8.png b/Graphes/assets/graphe_8.png new file mode 100644 index 0000000000000000000000000000000000000000..086fafa0984e3f627f1d85f83ba5e320a98106f6 GIT binary patch literal 66981 zcmZ^~1yod9`v*M0&_mbI14!49(j5v&t3wYkh;(;%3n;08bSTmw-6;r2cM3?Cq{KJe z_rCYN|Loo3pUTTaG@Tt@S=m|u08gTlUt+>^2FSAvv>AX{3Nk9co)IPz%cx*+2mWS^ zRC$6LN^CBtS(z7uQ)Z-4k^31EO-op5`jWioK%X3!gLBucqpTSl#dY>&tH;UrmVi6a z(-G0FVQw@)OD1pfX7+o)Pn8n{U&mdk)6)SiZC06;c$ADlY7^{N6Atj>%lzT8UV=W)2k{FK(LWvf~|~ z6lT=F(6;h9&t|Qpe<5z33D{}A8yNw2e=@v|rGccVx?GOmk2v2r41U)F4VmJ7@Gj(f zq?9gDI{$8Oz*MCa{}}VBzQUvKIY4$jY-X#xdq_?3N%J@QTB81jidTWy$6zmYuJVuZ zL?>vS5aCb}qqihPONTmXJowtz?bkULYZAsZ-QI*RqkaZe-b%3|-kD=;wxsi{J6~UI z`RbW~RBj!j_dMUI(2oz39$%mF^#u>rD@2wMV*ZRFVT4QtipXWrQcoSe(@q$O10N-_ zntP`tW1F zkA%eN6vR_JJA!w8` zK$`3HAfhNgNn+1fbo3RCNCg=wk>R%Tm%tN-dpE4lKf6ORc76fI{`^Vem|bD-Zh(M( zw%AE!XMLynHWMC75f7=!onI=de9kqHrzbb7^qra{M&|{KouC3GC5@ zjGO`%s6WYDWJFN|Fc;8=yE^<F)LhVp6;Peg-)W8yVKaT>sREd zNYt-o{r*xPG;4OfHV`f*KRtB8`METIp`^EDd^_e7uZAGEhL?adt7_3;H)XmP7rw7~ zBupZz-3d52J1|QI*!ZJ-=IKMScwsD?#=YEd)rPj>*ZlSCMZX8nZxO(sg;l22Bah*5 zJQHqfK!!AzX8*}^nlcH(m3JZdhf;oU&`=QGP#+xd^Qpu((2d84JO}&S3y4 z(DTW15&3jenlec}fe^pxhCF@3@iyoQAv!-vdVCUuGtn7=s~xu|kI%%Ki2H=v8PhA$ zm9acggDw11o>(!Fb=Vt)SvE{O`Snrk*BD~x+%go|sz3N^h!?}Aa#(+;{=%!F^$R+O z19ZC5(%3fxEBScHqnORN(?B2M$jl31%r9buI(L2XZ2B52;zfuoSGX2X%2o&^=qOfn zj%F{3n`z2BcaO#|g>D#@;sTgPvBH5q!K^{bVC8;@8Z#-83idp91eWDW%Y>|_@+0DO z1)E&)W{P)_dfk-W%-wk1lHDZT!fWPc1W^iOth4W$pC&$%VvpBV&{v*Q6jN_h*@5^$ zJ|{lwAN~n(=GT+sd6fFr<86Fm`P+|)(mI0dDWn=Ij})JztLrJvDp}C_fa z={i``2*rrS>nnXJ$jVvDYt_=x5zsl+jCn!w`TKKDo%zr1#``&Q%5HXU;%;T$(T#F` zCD-_8Bs(4x%cHLaIp5QBr>7_zsC+KW%$3ac8->3Xu|5(ErE(GE5Znyy2GvEt9bEK)3H?t3*m^UQq4|ex9Eg73|hE zZS1L;{9T=1tJkcTGfP+fXH(au&a3gt`t;SQJuXR1CAk2%HJ5*NKCFscfO}d$tJ>GW z!Y=uB?dYeaorc;hp^?V+#@_2Jyzjl!ucDt7e0MX*<(?OwcMsVo6Q3BKl9O9K0E$BNO}NsJmV~J?uV=x`nf~n`f05qBKIe2)#~@X^H8#$Q!hK8NLgf4lDa! zX0o`jh_J7<&paSMC^^_&bf|Qj(b{9)JEa2>1jLKdJ)@(ST$DJKxbV5#*jP#4uN~jL z0`KzW^3C^3oC}|B`ZyfhUzlFyU)!ErT?n0R{CROLbs}&!J&r4;$>H?#nfo?<=G7;qBy?Bi5qFX7oz@%y_7*r~E8R zjQCmXo9MDge<}fvSFeT|U`l)WGnti#Yd7mDJ&SQ)qh5ADW*sHbCjLaS#ES8#OwE@5 zvGYQyQ|epL+wP}$1NlEgf9?-RuA}vpQ!Xd2z1L21b_qTUwIbnB6HH4JIR5qM`q5oJ zT1n_c_e5ri$z|e=ioXUGubrR%*Fa7frzgX2k}`7l=w?Mu#gVa=@t1|tBS*uqJ}q^`)W=nGlYB%#l2-Xrt}U7NOJiljNQ zI4&(Pq~xJ_UWMC3UIO&PYeRGV)ajYRO4^q|xtnb@H_yaW>YD+N>5TUNRo%PW9wblpEZ9fx&z$yG!zGehw0Myp55L zzi!yuS}NF9HArpXp0CfSH>|qZ#91bL&RP3{ywtbZdhb)?Wa(tj=jF2WnoYS9)$PLC ziQ4GeeT!8Kyj`v-Zj*}wiRv4ruz;Sdv+!Mt@_;tk`qdq!wz%34vBJr=*EM?0SLZ1! z+-}J)k_!x?3{JmFEv8iLFYxY}eELdl%R77L7J*Rqd9F6OZGEw`lNm0aI+-mL{eIYp zy{T*ue`Zm0SF_22z(r%gxZ-8yMZ90hANvD>`DNcgzwGnujgGSja76TOLgTjE;#vCH zKHgJ2y9jxL$B(^*=)~4M5z6nZbb7QF^9J8&#dC{H`82P1j$m&`mA#{6rGKnp-Rfh# zP_kQ;r|~rlTioT&c63%}OJwWK#|x=t*N)T9)tJ4Qv(yEi$=doln(N84Y56bqU))j` zc^?}d*N@Ez7w*qIU;fNmj&3OKlj(6g78glv_jui5sWsX8^KISH`Kh?5hw*L7{rpyw z%OTML+46L=$#wgY?8aeT+o6?*jr28i#dI)lM%jZNm#)o|G2o=YyhCShe9V$%sw6BFM9j%%IWkuzR9W4fEc!}62^r$yRwM7g&KuUFpvt3HF&uiquL zBng%_TL0X%UWVL7e2U+T-;!eX_dfU9p%_c8Dz7u4ZVU5kn*K09&$%&p>Gu&8tZ8pI zhT_?R2GA!4fa)Fc-@M!>_yf|~xB5ePsR65v*b{gRuwH%a=Sp$Y*nr-?WCwuB`g!93 zv;+Zb5&$vp-*D=g!LxnwWTjA_kncn$v0HRO<(2-9MU!+i||9MtIVFRH3RgMY(L|6fUf7ek*-XDGm z$m^laf9_~+!vUDcH)7=FnT`72+GuRqX#agiSwVgS$m+;HeTuy6m^)io*t@)Ta5c^8 zhawBG9iQmA008974;RW)?MFw*{->;TVXm-eYGURNc08sC2Qv#EPdmqlegG1lV#r53 z3s+N!r=6|6it`nx&uO_K4otE;0JFRzD(2aksUkAt%%FQ2HWC@++sm!F>-S%cff%ih)0liS{f z=|7$Pw;u%y7jtJTM^`Hcd&on-re+Rqu9A$54+H)4`_DWrJgxpWlD*5{WFZOUefYx5 z#{=d4r*C9aiHA}#O)F0eTRjCUJLH-n$B+^fflB;U|NryleO1T`ZjC9qf=px=Q_TyZ&zc?~i{sl;C}!{9h~apJo256uHh)I1;@7?3ol!m_gYJ zavN!^6f|^^cO;Yj^+WDD0OZ(%&ZA>HSFIntjVXf7`hH;Xv>3%)p^DKE0yRa%#xi;nfSwuXeL32xiqP zgn?cmTNJ4P_9l&NuuRU_p5H-B7%FxkL=#DwP#pZ zC=3u_XdodWs+`QjizYf&H)*!6EblMUf0h1K#SuuF{Y&Y;7602R+nP`_P+Q0-hol4@ zm_{(5OdjuAKV+KT)ywvhKYR=OCbhi^JN}i#TTe%Edh7oT@^@P%rfh%(!uEGGVLg73 zL>=O&KDbY`|Eo7)@^9134jeQxVGI^_3H{@=u*iIF@@h($Wdd=Z{QsFV9D$rvY;2q{ z5o&K>Xiy)3?$#9QOtvezqB^{K#awFA^S1omb5nDO+!TT;_}wh5&Quh40UM26O8+RM zTp&TK9hGq6UxaD~2cjksLu)vIWr~5ePkB)jPGMO;fkj;fKjjR3I49am@k2i8fC&cjIWkD`xkSua;AhR4H22BOXSel^{v@`psVDLK< zm~_mUD(tY2_&97=y}xRufFZ6tkv3{+Jos!DOKq;gFgOmkau{yGGL??6G^O}|2nMXP z&VqJ@2~nq+Mq{2?5=PP}|NOBptI}~@fq<{YJ{?dl!&A>q1!pL56AuY!TJ_-K5;m5$ zS7q*Ey(m<6n9%;$j^n*S5{uD>;(8@d6q)w!G*S$oK}Ixo!<4H;$P_{>8SZawI|8my zAh6a+VT9^M;|*41L=>bYRjw9$VE@B6XK~10t`AI%7N0Q^^06utMeWJMorzWL^RTkw zP`)Wpp^?_fq{>M~&sqc7GGWnAu`7Pu|HB6|=13+esQhE{lAe*U!R<%-E&%mi2ux{c zz>(@*6l$ML7*%rQQ@uBMoJ7S#ecA`cB#JLTQvA)V5TG?B3OZZuf{)lm6$7$4Z3kW3 zH;O&1;G{^=bT%9Qv8Vh`qSBIhfUF4vd)?3itmvI1>apIFYyBw5L1}9GfBc zXe_QBK}}~!kL$wkxDjn6>NYl(%A@BGF@H8*G+$cAqxwC|jt@xt*xDB}JxLKZ8+q|g zQ7_UhYSSS!!}x#G+95+u>uj#NvFw9fV2M!^Q5sGA+r6hHZ2mR0nagb>=WSPonX|3m zuSZNO8a}_63#ah6#J^q9kTkcE%MZJ={mu?|fuS%>*9oy?YI&YV#ES!=s{DSrMVVmOzp-Y(DXj`zN& z@gSi6z2$I?LiCbh-s4`z8v3l5b_9BsZSULju7%-<_y5QN2#^XJNkiPkeB;zEA)Jch zj5UHV&KI~pAPZzICDdqI{h@CUZ^!U1pZP%`Rq^HilED3@dPE}IYTohlmw;9DU4=k? z%N`t?bOFnnMN$*<9HnsnL86QW0`7183M>n~zj^BQo{~OT>SXe!|N?K6}5(f5|$t2}ka=B6AfghnLHPp3;a<{f6h*`vm3s8?rL>M!84 zbQtW9Zz`7lEda#iWKdLS-3oa&Hi_y3v#QN{jX)_&9s4851+~-S&)thdmZ@zH1o(}WHYz$-%^_Yu-lagU&oo`1b|0S|U zpFFTc{?b&faYVbG?Q9glLK^j*`N}izie@68&diJ(v(J9V%Xc4)#5_kgOAW26Q+du@ z%a+#r><$Nc^>Ea_ZQid2)V%p~_!Xi0x#yj3QtVQH?oej{Z9;E3PI{8Cy)MZ==PgtQ zjRARNg2W6`y(LjgJvtj%F)JjZHj;Oj`4PC8P0rgjw6~W`^C$85uWu=MX1=k0tO@%d zJPXSA)QUOjxxWnv3TL0`ZTlm>>wP4f@6Ua5%_i?I*hw-atrvO<4|MjCI5^WT0MWA-e*-R#zVpY+_M%a-jGQ#`Cs@?x$tj@sxW|D1o`w7#i{1aImoz`}*! zRFyE_GcXsz9Q;J}A2FUiOoY^KTePKv)U-h#@HES^M9nST4}K%bHum|hzd2m_{eJvD z7Jy!2IGU3&+q&3#6L3%8zM_1GjAjMx^_8Hk=gZe?qiolE;S-&&(Q$hlEfvA$>q$7*(C z3Ig}}4v*#9cLrbQ3J&Z)wAiLE-hCzPS|*BI<=vadJigg=_nv<_<#E^iy=jAd{&G41 zk9^~t&q#i6O)-XE?DgRJK^3OEuc<1p4D*^Hu z+2}qxUj9cf)w8N}O#Dr^-1mb6Tjw{+^zA(EZUgGxIQWkffB%m1hp%%ZVf~45Bch}$ z!j>I1si|$rn$}W7ue4+U6b}x;s}MBwUg@}Xk|g7~68n1PqbVCU@}WX)?No7-8DXB0 zj6JOiPG=Mknf8->a{+BpV}Hf;`@JykKMHC?33&<|h$io>ae^x6Kor?{>@w8OH{%+H zG$YLDrw@`n_8i|POLVYYeBNX7nkVC{VD~8+T%LTv`}1NDpy0G4qSWocP_?cOKZYQL z#F?g=pVA=Mk1N9McusZ8PU_Pn1%~E4-FZ(3e;o5SRYtPd5kCW@{eC1`XL&@|N>E}1 z(&s`ae+4Tn2o1tcPuG6Y3*Ljan|}H~Tg>vX#qR)B_*yMkv9+2^nN4Hx$8UU(g8c3R z?(zg438ZiZLH+9lXoiK4_$m8W_(oj@%Cg5Kc5_Ove#Cz{4Z>_MER{>(cYr}9WKiU* z3DtVSEAYRWNqj`XQ^~piM0R~W)ILK>*nGKe?J(e7^W~>o0KL?^LB@IjZZITdC_1ck z5HikR|2-rzGBXNB355=?h@c4+J5Ww^gC^Tazebd*wRb{$VqX@s0RNFcLDWe7z0nKa zrge)2h+<%{FJfUxg$W%I)qCN+EKYRqByFWv46HisF%kRVJb0nS?!PDo1re5|;fh`rcqej;j;=H9@VTptZyT*@@< z{TLfFx!agze!)ax7Ibb9B@G5w0T?ePSQzIYE|CMsWBi;ne^ST-q#{AVU^*J8lE37< z#6rROJYWuXz`_o%$;wmSpJAn+KOT_^k-2mEir0!1&>nUDJ;%p6C^%Bv$(ySuZgja< z;IX{9sq(LG(!RrUgrgvFO=XB|ID#@Q-l3>`PQ|y-Yg0|NMvhQpGvvVV@%&{`oM4Sy zBR!YeM>0l?!v5AI+g&s!k{0|r7BegGis!aUVr1~RjsFs&VheRxe@8JwQp8wLH2I|N`)@OgqlfT=1RSp}`3PRA z``$HV250-fP%iRYKfGT;D&Ln!cViU z^R4bm@K7t>O^e3Gt;lVvsjcX49#}Z?odSwTtKsF>CjY2~V)+L-WLmWI)}AiN1xwAH zNmC?ngNTdQlmd2!dC~j349%giJ~G6OUu1u9&MZv8o?zJ&_S3TN#Wd30%c#4 zRPu&!srJ_;SfLCOHzX+@;->f#7&lEt#ag+QxiCLN% zp9s^5M5;e_ph-j-9S|m)C8SlXI2(>Rty;^5RtgE&NwP@1BXzK^+T0dUa@+XEAQb(4 zYg|&&n1C4tBPjT4f~(#y8I;6yQFi5dPnB=VE$%j!vNvxrPT*m1@RQGDH+mHo)w7>s zSUpUvnrh&?Y6j#G2;VC*d&2*OogX^AYb+5MHA4wxoUVpG;WMusK!Nhf|K=^AN|UvV z6;Dduu}Cw+=#7@U4-CTIX#%-D!ktag#sf{o=u=K5JX{T7vso0Dg0o94Rhl^my$QL2 zOwoO@w<2lpE|DG=mM$?!v%R=GN9#B@4jd>D_KAZ!g!&iUF!pdr<(E|NnRa2At=jhK z>&!XID(LH=EQ?V$+u}R)dDXNu872~b!2^YGwnJY&Q2&>y)@LR&S#)|wHpJ|CnG3T^9W%n1v5(*K6(O{7gWnB`rT;&_El3M#Me=h< zcvos69c|J%0*`ekDuJUGFzL9zNJwC?tjf>co@|Ty7gSV^FqLGio3Ev0yj(KHRj7mR zW#%UGY429ud+k68Y1d&%VKTyyANbdrl*Q<*pOu$PNM%UlTb+)(d6J@AS25L zfA3ez3U8|wY@5Za)i2-_8? zl;Uy;zQCI={?2Bhi?p{Ete_mD#XmJ@s(lYF=%4g$@j5CoH~1#^h&OUc`KUwddz`4t z6lJ5Uc^FQE&lqvL+%O=ky9KdGgJeaBA8IO@mZPSY9l&nylEQ*O7?O}cg%E+@mHN!8 zY7VTYsMAESq|%iN7h4k$>=KavBXNe5$b&4va0~l)gtp?BcW2 z4yk-GOVW0Y8(IX+5kX8LlpvoNBt3z^I~zH~Sgb|%nORl-L@Jk~34}6XX_gY$7xz=uL=`CtLT`cXuB%4K1@qZ6*xPb(9Y%_-OL4 z18}+~LMSJC1O3=dEyAHfSoWX;#}s&i+*H^c1(!T|uT59zeC~Uw;wu(!dOfI=%5JLy zk2%Ot!rS@tt34e1?$zk_%JNSClAy=*K>9UV2X=_S1@eQKSbX(|!u zH{-J+3LgEIU16BRyj%!qem{~jzrwWmm+XLGEP9EMRTuGzTL@)^G%`FUi@U6xVj=e( zb2zQi@;$LpTYK@(k&IAv^fD9Hgu5O%I+`uHw_2I8O%&N@t{)9UW-gm@)!aYM(<)if zf|Y+*#5Sf7D{VHqd9X8ahFmyhvcEDWU>R!-9a0f9tWt^<;K@-BS5w<|;g zr9>J9nFc#ht0P6B)e+sCmQMd+5IY*#KXHP|D5MD6*`vsOp3IQ2yJWfT5#WGUq@nk! z!)#Z6NB7X~tHEKgBF6I&++9^P(n32vNP3tPoEjrkGq@h$--&{KE?~x#7fg9`(;$!{ z?krNA=X?`M#$$XGWEE_0Ql^Dc9ZXswLYYiy%1u_UYqcWASViI!6oj79&o=S63R=Kp z4*SZuOUw@~3t}&!K--TEcq5Awf?HvZFv)ORB}S@4mhcfKcNRx3>Jxw9v@Ca;O-6s& zXH1gjgCSLMs3?+iPySQ`p!MpL9&aVzhifJ zIDwtIvmM0G9kdH$Ckb)o=jUJT${b8HQ|iT(^C?FsspKKT4M|dbtP`2#LMfRM#(;+Q zm>)ygZ0Vb?%WIGSFq|Vdl9Vz5$)LcP96r2~PA|@0nEXo6&gm;Pk}= z#cN7ipKj1$B=q98qV@h8Z|E?(P-mrsiKaBL4Uz0sqZo_x_6HPpHtRJ!#R+jN(2jN=uurGqz>!~%z_{N~eg%=`06>%h>c=)nYm8zK(}C57#^W*&qvUoEqCZ`wrfI&(Tv zYTS%_;^12xrHfWaWHcy{rx6m{X|FNKx+M+hFknfuaLHG#r*93@I*q8Y#@nPqF1)gM4Lh* zxQaiBoaGaRjw|c>R(~g?;^;SjV>HA`60Upmn3 zApp|2t8JtyN|gO8IZw zf8n+zR!FiID`w;EIO-KfMF!;{oTQ*610sC6G3=f>GlP?pKgZVUn$@sxX6p(pn+G>= zEbAiR#a^purO~|QdaUEbe7vi>M7Znr2#|Ao4N@wGnWm@xl3e9CdzEI^3qV&x#EPX6 zrIGKLAaz0&^f)qTb?Zh-Av+gRz~LZ}ne@O9*)&LgV8@J}Q}$yFM9FOOXgLipQtS~= zF&lkDTI}{!uDY^HT!TejnuE?oyGTHe2b_s$2&Q0GGhlCHxqDuH=|Nm zM>Iy1n-l%QC1WS4K=fIOr4t5=Gu66F6~8asAkmB6)arFe+_auX?;)i%tiL_sxs!5L z$3`}%-Y@mdGDMJYuO2mq2*QjpC2Y`4GED~8g_fzyRngi4PAqeqJOr^{Soet?1re<`;)Dl zY{cU1C6#Cmd=%fB9?pK$u@YNm0)PHmXHU*%2YZ4Fh;s9+Vg~V3fqcrlAuB8j42BBG zFUjM9X2h-ax3-h67v?fOc|2F&eQ0@0JFO4&_KN?+XnAd5c|*y;}b4s zUH)_$Jeap@kjKn^DZ0rneehdxi`QD093qo0IlU&Jr;1KRHXQ2Wt{aiekFkQPP|4i@6oTw!i(z1>^|MW_vyNvhule zREkSOfZAZL%yl}e+ySR4mCJ1ze1GWGPMoRQSKTys3!)^O`Vk2xv)1h|ZhxOvVq&a= zK5xd&og#Ca^b@Dv|BHS|yM-2EzGg-#3-DVQfHDnLyE$7CyM{NBL@(QiQb!VO32*OC z&~n;jo@fl+i*bk%;8$yDi{k+n6%i|H`W$F7IIvjBEvy~xi}!S%Yg6jVP)9n&w8R_ z-h%&X` z!ZvcMAT*A$a{}(u-Okoi%5z{8x(HoS!eFGs3h|3-nsAQot3=4l2X6ImwK)4O^WM*5LQ9mhWHv6J1r4JLgH-x_(uzH#AL6hV{Vm;l7HkI2eF&F*$G2wUd+AtgB3~w9)9F437&9guYxAB zuoPpO7YwO7(e9~9OLetJsv|%%Oy>o^1j+fh4a4_Te^hcgGICCZU9bYLCe?4p=BK2>?hRLepW}UiW@Z-P$!TR5k@~2?4Ns~fT9SA#o6tEL&;covm=wkUaU3Cuk z@s~Ed<(t)bZ&3o+?w_?lybx~QOHcHfM6HG=N*gsB1I6vPF;>puuH-u&#Dh6HK|f>` zYz8LEja#%U1?ED~gZ&5u!M0FM4`GY|+zHz&?~3312;)nSwQ|!;5{BW{qzdjb zH%f#B4$@u$#qFB6kA=<~Ms%&@QwI4b8d1K93i<=nBIueve%!YOt&9|65_yaND(Owx zf+|AQ`*_leZtz|G$6>e^(MY1^uYc#vvAoAOAyB=*vj>;ei8?E$2!qgCC?09syg!sP zk`X0>CwA@~WTuD%gje8SZPc|jB=)J2oau_}FTzm3m|7ssDrA^DP-}p0;jmPf=J_u@ zRpv?{6~t`O2#-W| z_=B(RhpW>UU8>eS>^N}IKth>Py#90V`;#-coRJzkuFIkrCAc7MaUwHrbOJ45upS+p zl+oMbh`O8BS*Z$(XdGxF`w+{8n_7TZ8Bxt-cp~J?G=P<1R~zxt z@RXR38%18{TR$n|GY};>ATVfknJO(Mr!f`&p(!5kM|VOFia^(Tl~yTzC5M(#nvD>& z0E9P7A!R8E){k=0MhP*itz-zS%5%q9PVD<}yXcuAoAx7u8I8nJO~pOrdsm%yP5Q86 zU1*RBr?JeHp+S&^`1B86ys|VJa%sC#+6PgiZnCY$83*tefn7Yh?H%O#t!}n5d8?kcgXrRf;vT&fLcBxOAe{{$>)}Uak+TCxsE44WUN}~wK z1c6vcE+4CqZ|SG zasSgjms@SWasLg33|k<=dR-US1x>`Ha;S_E6XC6qC>qJOL4Q4Px8Mw(>&-X(9$K;LgY>>wt28m!OTP)J z4M8}&WFlkLeyW5s3kglEKt&o-yx6Uc+p9>Y<@a&hlrs}MY`EcO;1xlc1Y#rrp{KG!NuQ##2MNM+-FL&FZM?-ObopnA?@^r|BLnvhoqvUNV_L>8Xs#5!-p| z+qPSDj3Gzms~>G4KGT^YB_J{p`>y@B9XL8Vkc=W>W=th!A9y(#&jk=IvjMI@ky|th7T+4;rBhVe;I}Rbjm0@G3emq41d~0I^!(9RFetB7Fphp!3M)sZ z#M*&GSoip7`-6~E?QeA;z4#j5;r5kVJvNqTF136Q?6j0zau$RU>R0{>p3%%pyBE)kT)-*WdTEyc4)kHUdnwfV}kjkFa97}q2ptn zF|@VxIH<_vZGBzTcKywn4X6*O+u1f$h*Oy;V>7tu4ZypnaQ7y;@^h9fAf?pwdHq>xBUWa#(o36))j&0WM@^E zJ!Fa1cu>)A7B|~bpl;)O6t7LgD|m8tXAVtYB<447B3-x`xQfFQWNlb+@E+{@SYZg%#;T-m3DL~KX2W1AB8+lng8r5FNPky6 z{>Ja5((k10rrh0mmt2+M=(Q4LD)g}4GYM6>5EwLr1ncZxZa%i_`0{l&V}rBQVmRY9 zg?tJ~8)^1;ep51})=LV5rM~vZQuEf{cnFuB;E!!T!$)mk!n9inkrs>T>~P4nX%Grn zw~sM*EPWvh>`XWOXwiZbhx2*dB>0qKFRSGZG9Iv_TWlURVuNd4QmW?=^@fMkKlB;j z$?^k2Bh3~F9ot;yVFepv%9CSUlUwU_Zpkn7%gU`UpHk3YW7zfWNRqjnQo0Ya@?N*ZIcH#^Y*C~S4fa-& zovbI7jtNIIZFACTM6wRPDE6T;fAPJgTEqmaL#hVN*LNnqrhZ!^rt=^hgRe_3r0(j! z8#R1#eca=QL>XxcYLHtnXO;H6Eity1%YN~I0-wVfMqLKfK? zOwAKs)R>XI+S9vMu^S`AvV4WhcAh3au|I4w>*rGn_-r=(wn|Jgq!$Q0bE+`hqn|Ez zgm=<-Y<~KT%%W&6Vuda@mEEF!(Ef#%$FH!3iqV@+S;fO3zCNOwM(H0O96{sfVp)bn(DaMB-nOfYx?kt> z<%`dcMMomBD_xxIIgbzmDK+$)?otz>GPMr|*qqOkt(SVhPRjN@;UV=~;sYbJ+o_X9 zdYCiQLKEAll6}n_f-&%;!%YGO2DI9nEQE-kqf}i(Y2&9;z|SMJ@3Yf03k`%59(vAr zhHYZ0=)yf|3@z>z&~(dkbL5ghm4HVc_==th9OMo0K}Ohyy{JY*gzklxbWmQT0a}Vq z0^^C`F(*9~IOFnFm`g1-R&x?xjyMdUSP)3SPA79=VS($fG4BTb0qea#>bNM%4vW%$ zrW#CI=%f|kjFoyxRKtqt^hHEmUPQ>2nq9^e=OxO=eMz@(>ari5*G{?J_txX>uGf0% zt`6_3xo4ZbW^NU!MU6u8MGfA#G|}rPSwyPUe-R@S|Dk8Y4n#%D%U|lRUjuI<@Iv4o zhu&AIS$zv9>uupa)3hC>9|ZArd;*{_Q^Kh9o`oOsqs4n3b)50Km^e@L1j3THNn!?y zv&C)=`8g(v6SO)s1Wv~v4oI;y5WE6?7ORdxn5z7hr+1+L)(rHfWK$qq@$9i;gc)6cPN)XDG6$!=5wld4LTZ zoCR%}fVI<+{Y%S_v$2XXd&Bp?KiUpFRwB^sPlAHCJHJU@wi*Vxqy=q>_#p9_XAc74 znr96A1#uASt1XwlH!%0d3r%+?Q9Y*XGbcmwTn*J)M8Y2FGBQ3;XJBRJBH8ZgM#+D3hd%DxyN&*Mieo8tmn)1vT07;xz(1KF(& zGvadAVc9WAU`0}epd+yhZR~U?%C6iNp9Crfi(U73VQVp_MLq$3vY5i!+I<$_$iTVu$FB0 z8hMYIuF8*zM#9&Iz)PcGvv*nQRFfg5`d0njFfFu@sKmsnMB<^`G%0N2ZKL+)j5L8| zDF+k#h{lw8i(iTu32(&aLSK?*Yd%`WPV}9>KI3`oAlLq`@2BcWVwXE;=&5w;MPZ0! zPRw-lp#*BvDp}q+JsK%Ln@A%!W=IwB;B(kX15&HIKM>|auzkZ34G5b-3-HIRK4LWt z%!Ji-z8AK0H<*v6gNf5iqtd`ul*LD6(J09#Dog|4N-GK@a~cR;=n7nu*ks`#9P_De zaXhd7-kDu@aV)*JpElM687f^qB#bmDx|%_al8JLIKGJLT)KPM*RYW|*&R5!|Q&ZsO zM05T=n|8BQrsQ&?mhCx5s|Ua164kyBD~_hR-R*+5r-MLg_&Y51HMr3U+@q=jp`Mp; zq&5R8_uO-`Y1`%b;4#QOCFXF4*AycAjq7F_#p;HGYaqYIDGy1T^8;;OnA^WOLIDA3 zNBsv&rnlvHERKhb<^sU!Cj@J7a(gXnp+K3Lc;nY3XEx5o1#(Kvn8HKjt%UiH;M0^Q z6Zl)aK(!Vq;&)L)>25K_ zMV%dPktA#u7(B-srbe!yG3+ctKKrg``7*r8gS-ChMF3r%|0YHlM~S#zY&(J(m1IiM z)Q=Q-ruHAs)H&VQ)pHD#y9zkDRFj>}%2L=_%AquUp z;@|pNvERJ-IZ!^lRmKaFyMKN-E~4G`_G|kYu9_a|9*!Gl-gny!h3_a7j{_sdbR9nOTUsN7z1y(SW_mRRBE~y0yF*CxAKVuGp}UlH_kZ%l3$h%1DbetX=vxGmlX)((GknD`Vsg#^2YzcK#&;(-}#Mt(JOM9a{b zbuE~Jj4$?T_9zUv!jsBUiasLE_i(rpZMB-UP%Hpk+3qa}*Ttz|9`5)wZq%kub4tY- zE^!RZXhnh$T8V|8i*bj$#s+F>-A_9n?oNcYCowwW1PurSS&-lo;z7>GA|Hs*NTYX; zuV`9F_}SFFes>Yr4ocsI;2AcU*?bIGLQ87ke5sGS{8&XNdYWzJSHY(TywRk4oOnzfK(tUA0Mx^icT^n-b5b#3gdXd0g`#VQUBtMHTpv2cF7<` z+V9(%9qz)5`t7=B_5y|tdDbI3;Q%2H$4*mCxj2yyI?TvFA7W7h2uuEn1ma|^ zx&0gos4KtUzVCXeJtTa$zpOVcPcS=#gdHl~maS5Skj#PzB4X<%Q6Jp0oK)908}a~? zb5g-7sQEo-+j)mI@(+|;4fY|-Vo*q!jPaLYB1m4R%*K$_Agw4c?wk4`ZJ)%}hALZS zYz?o7e@{m-Gr0!@j*=%g4n(eGD4vxm@#OT?ZO$MGDv81hzf=I~vcTeH!)(w7C70<7 z-!4EH;}!mdtX_qE=CrI;*1%7$`a+Xd+ftMMj85ZLb_41WTW^ddB>K4V*0bpWLzINAN)u zaIv*mV-<}Z?!?bg3_G0M{$P5z-GLK<`WI$42m+S9QW6i1{K*7lQ#(~z7mbaKu=_tA zoSI?}5NEvprU^YpByFCB)G=dr)(ZErea)54^xOj3WAeW7cL_T7gO%lfh_bo5TI-*+ zId{2-2*03wn0%?ct5~ukB;dGtqw%8Y%+|f{jyk;A3v|vN{O}K;?74@Gz`kVuDJLf?jV-?IEr`4e({D?4YXx3sEvDEP4UO?4HZ@gE6i^%M>2;~$lC|cuTvi{sDr)256 zq#pat%@0{W-mJO*hpDe%h^mdcg`tL_8>B_LL8Ma&>Fx$eN$GB+QKUPBp+g#J5NV{P zyStlv#`pW~y}w}goU_k<_Fj9f_2?zi#2+qMA{_rT;orf)l@nmCcCOBDb^&o{IBm=6K5B0WeHergZ{8T0zKB3~oZ%RiWM zNL-oY)zWAB#1iGCsNsQlf?*i!E>q@C2)5%)pWe#kr zCRst|a#rj^>Xis7uLM5>5~I{T4OF_&PSjMqLN``P#~LzHP1F8KwmYBqj40TXHpl>I z$}^!M@F#+5g-v05RL2bn!0)-FcZGEMPGVC@SCW{((rdzu7Qm;E#< z{0Auj73}q>d9loysm<1*T5N!as70BL3mmiZs0RW&<}@oo+mGI?Ee^aN&E0iTezF$LvaQP0Evq4g! zWe~~Bk?9!ahMYpqKm7ogih~7IOH?>~q9bqY5bx`C` zg(HsT-?}y{-IKx68}`9N1WQgng19^smO(J?(zKWSwjdj#b6=e97CU7NX~GBYB&*}v zLT^fm)7J0nbJ-%V5M^-~(8ZMfk&2Dz<4~dpauEzOvzm)MNNtK(bPsgt(>TZG1Vj=> zjAU5lzo>|xAtB?zYS$z$DESMr7f8|s%c#}n9=jkzu1?!;$!9Q+gXWS+9wll{=0)PT z1Eer>tMW=0;*f=aw$=+Bti?sQLvf)uRebrXu1o`Xgp)R-yFVQufd@~*Nq+kpe4Lqe z8(iwkq35d3hsfD~+KS0{hb4^p5IML9)@*)Bycx1-xM#V-xX$GT2d2NviHFZ0pWkoBFC^Fk zwyNT+1U2qX;O)iRC>WK&3EvwX7QMJNPoaN=O4IwEOE+reUf8CoDfr%QWz@fFX`<+` zYXNB*!S;+f{is&XSeyMN)2^hIguwvZH1}sIDlNulUrxUFEA4b2^GUV1jXM3fj2wP= zrV#5aFPRub5&q4%JugSXqXvrVG%WgkVdyy}IXpUex8mJ3jDfSTJb$*JRBjC*7B{qt z;j}>IYi+t#fM zoY4@KZFpc($Fw7n%!e54oFA%~Z>lTqO%kNTu+dv;C zMH{zp8lb{YZl(UaEWjj!hgUDpmLHjzIX6Lff6a@_*HG^JNBVqn7#d^^R%Q?I3rLP%@y=H;xNz^8#9O1epX$)W(OF$uU4p1L{UpW z$#-D*oMb6=)Ct|2+0Hq78+TAQh~*S$mcnMRsjLalIMl#}YMP|m4c|d>!9CAMmqVN8 zdl5MomzdpiuLNu;7{o$0aKVm9Cn<$AVzlr}_M%KCTTGEZHIYx>&vfC9Ss}@IyD9!; zluEHogH@44P8s-S*)v;jzG&GG0}oFaOz}q7dDx5BCSvqM-t>*0x=<3l>@zcaUdlnh zcM8w(w0P={0KoR4#9OSdk^zLzz`dOuD;qIo%Ss}`w*#C-Knrf6 zfkKkV44?1(keoRK(b;g2b%%_0)mt8JFq$- zyu5^mW6h%+K6oj(Sw@>ZU9?yp;*i&vrZXxzsQo44&j0Q5#^8#tuQ_FipPP~gH99Is;H>V?QC zvhQ`Psw}rTL}H~5L}Cvbrr?`3-qSKAAxU&4?E7eq9tf#phJD%UsGu8fww2@5yS@w3 zN)Pf^Ps4N_L0r923Fe!VVuYz_e%Dk0l!NM2usXI+OHS6*?my%l7jXf79XFEUD8ze1uTuOm3nBlM zVb6h@4<1d|4Ow)u*<3&Bj5&J;kRt@>;`>OS2m-qB$rrF)QzY9S- zAo-}4{8byW&CbDus!h;mr7{#02YX)fs34cPp>bi{xP_(66tR^3c2R&9BH_+j@FD5P z={+dnMFzlqxlXd3W%z38`@K+M`Q-SsGlk+kE+`=os2%-cI(6FPh7+#K{fD zvEH7oy``Y+P`I;UR)GGm7eN0`fP`@#SXr%CmkE1BEge9{1BEFX8!=87JR2JXg|CG~ z{NYO`Mln>|Uq+e!jZv&cx$vZRG(&{c;*IKI@+cvT+;K0^#CZrfIqyPjo3F)Z(b!v0 zMd(g2(`?P#=Jo<16B6qTvnh8Ycu5;QWbFv1r>F-8lmwuJC|I1mdeZ5y5cxhO`d#uG z>IGRFh_poiE#O0T29BC7>=ksz^SP*K$R1_Y4Jn`oPzjVt3dZ}{e?CtVe=oee^nnwZ zxl9qZ6BGM@bD~~aD#N;D51>_qbVRMwKBK`htZl=KH^1#QYdlTXCW=@PSRn?jro)W3 zo?Fs^gx?eA1`A~=4DSg+A7D6w&g$eyAsPJ0YfEm!#(~9_@yC&uCX(;EcM1(XNVeBt|7Ezi}`yaxuwVejcUG2kEJCG5srEw|Zhk%D!NH<&Z=? z>@y z*gJ$-=6yScO|0RFSphIM!!?dWXr$M<N@`mq}f$ydG6prPE>E(88FVr4T8~aWGcyUEGGVyhDfB*dN*2(D7p6aC!ey3o2(8 zdfQXN^M)~S+}yA%R-*xS;>=gr4WTjnak{^iLH}ZG3U~>~i}?doh&`e}nS2m+D>p#) z2fAgcP}m63q}FHRp603`3!1~90sgg0=Sr^{<%d>-_J;6^vOI8A4inldi{eL*ZG~)f zIpHhe0?p2?KzFgo%y( z?(3;5qmLMOua`eDYfgvCj0tbX4(HXAp4nTiL>1;_2@r5FH06f_O($!jZ;LOsBpv6Q zPlT_T4yp5lbeTBfR^E&z02H|{dkmlRopA?Dc=c#eH1}3v!IRnDxSNGHa>ADgauqtF zJkdxbQs;xxO=pU#V9SQUKo0F)xcr)> z{bCNJA+-JomEr;WsrMRqAox%HFH0UB+E+i)+S-4qW><_pJ+`WOPSTJ1>W&ZtpIs%m z)%)UBZ^!K(49lPYyW`@0gXr_?^O1p(?sBF75klo8o|4{Ky+Y@~$t$%3GePTCIj}q~ zh^%U5b-D*S+@Z@+26o@z7%8f4lT=VT!7q;z}8S~TI&k*vk~&0 zU&I=XLB}3T$7Z&Bx7NU_3zum82ZkpYow6F}9fg=eOH)*rJf9p9@*~2U>j?M1=m)=b_2kM|SO$0tB_(`HnIYK3uo1pHAWxw#9L_Re z!r!YeYND5OK0N@%cjA{I4wR*$HR=xuT41qQ0Hd+FI#t$ow4)o=Yo;QlyCDuV!CxvH zF`cNv{!cOd`9YKHN*_!_?#M=xVgJ$OE3 z=Rou6PdjcNRcpb8X0bwAu3EITI3mDQA9W(n zKXOdjLVrf=rS+$gsk`7)E7KuzK%K&WD(9;;=VP_6i*jisBX%t_L{Os<=B&pH8pHdp!Sr_7VFQ@6dM`z>fQ zmaHZ)?#Uegdcu_NPu)=3vG4C^i^|8(SwQ{(u>OGhbwI2rHKO)R=lSN_^gcdhDb~@a zSyt6VJW*<^OA~4id;qf=Y7L(tLJ=@m7m^Xz{m#Q*J@7( z<7G#GmHxGe5~G{ms*Yon&mF%K!7D_AF?vA`&ih{>1?$a>LQZpOo}mC+MTUeAV+<78PXteXi$m^HA)t zd>Y2-uoW&mCl7+N{IQewRnT{CpT|+`9epC-SrDuXfwF)M!I+rh!1>35GQ*C!a7HxR zQu;;fdyz;l4-*@r?IgF~f#vS(>s(Ell_! zs}Jt>!F*543lw#?Z4O9C&?J{e;|6Dx>8#KIY)8a}0#NjT#-wUfkO0#NlnMzwT9%^1 zNWSxR6`Q&8*V1Y2uhEcqP1XG8EWccc|EBLrmB1q|_}$N{5T#=IoV9Udm{Vwj8w;6g zq;`f_R?9QRz9LV(C1@TH5IgnjFXq z{38Q~Z;2t^$rcvO^YC*m*uktG-%)vaBfDtpC5)t@^6+R!NN&5yXSag~bH(!;O{BKIp7g6sQ z0)3STwoAeHoH%cmRpVZY1-{Kh`BRqx38e}xPDyR|IXE(xAC-4;(LHaVaLv>FHsNDnvG zK*7CRv$6FDTg5Crx^bpFUGILgaURv>qGjg$;#;^fHZN#3y9B(f*|qo*0xuG}3d z9J~7_VZL=YBSHO>Nz$OmH357h9GO?}kog|qiV@dbbZ_pNC>_d<(c&W9Hd`SeB!z1Z zsm`k*BJj#6U2sYbU)%c2(C5-XsH2uYbT-P}XBs7HRfsc(sC^d=(yrY*rHwjQEE2|!fAKpM#l5Yv$Z z^vEtJbCt6qCC{8SFM>u4m1y|}cK64Z`9T4+zoZ8rr zcH0)NOmB{K)FglwjZ@HAcz&+LDPFaFCM?WRu~RkK9j6EK|CENva6bHfF$U&wW)>#v zP=<`i*A1LO^OXE7yKmO`e_*qgz{qvLri=?7>#61WWAqNCY4qBWvU`mCK7|96$ z|68iJbRs`Vw&eR0a%|mVVx8xeiEsHqmO+IROGhA^6B;p6bFTBzkhOYI`${mKW`Po0xD?W*I&tHq#-4)NrPq{xIroL} zF_&QfSbK1wC+Jc*R-;fBZo-d?mGeL z+y!m-(a*nn_H@oeY~9aECYfa0pK3OZk&fCc&0}|BBfiPkRM&8tqJ+41bsXN$} zhbn4dGMm+(7S!@6v{=|>0F;-lri{|ubI#ce!nrPD|lBwrPh5gue(2Y2&SE-BX>VYxqZp&#bg#iEqhK1nzq+ zM^F195FZ`2(7RgVhCjIVq0y1@ulMe^h@YpBE?@h|Fp zAJ)>RUm;gr3Z(XEz10kBfD=!Mm@iF7>d|MFUD|wSMyR5a-9SWs;62f}nrTW^4qFV{ zyRtiSfU#AlVgA-|xuMUaGL}W(UKC_FdpJ(bC1RWOox*$I(2dl_m_h+j>e47)_V2@r z`-vbavP}v1n8W&bFR$X$3^|K>AMwj0L4Ms`dr0}zG= z)k>%A+?l14VE$Kx{I7>g$Ba2n>baKWD3+-m*iFa`#uET;b@1N z^yUU3rIO5F=;T)WshDTcmHjM4kiOQ)R~vXqFQftxXR>s;0w{$mimKIk1cyWb~4hAno)`k8g$5b zlv3WzevWywoLX7mm10_{=chIy$@}A#4K|N{$Mk1ju|)kJpl?jO;LKk#U}Ly067t59 zf@Pmxq#DCbLTl0p4Tjk_?oTq5lWxG7@d5*Aud8He*V7OZz6!&|Kq$&IN9Qm(CskJq zq=GKhJ1Ug(af5;J_YKkHMDhD_6KrGUbhBad*?r81T?1adlV;rp`<}-xxcVlODu&iE zP-NkF$jcT4#wp6je%7CAV|g5o30pt#8OybBfnu2WPU}944}>%nyS1`Z_lVZ${)pF8 z1+a4wRa@*^Xk`8dd{+ABnz;gg7Y%XV=D#V};q}KE0XTj;cdn4=fxl`ZXkSvx zPoVs+99rZ>@z&|4u|a1| zN{2su?K}8&%!lj4S8>2#5c(Q;bxbi;SHKJsG%&7}VSnVmo1DeHbeG=_S!hvTb(5Ig z>xPLTjqiv;+qXxNdDJoEHU0*7AVouT5}M9ARwO=n*{IJE=F|@?#H*wdaxj&B&(rh= zhsf*2y4EfEGFMF=hLm&c+0a@WU=cNjISlCss2Sds&j?jnrV*W5H$N&ioJxILKEXx} z7=U43H8(cLc<(ywu-@}bwC*Qhad@Pdu#UDFD=<*>{&e2#R>U^;)dx>X3hMlE7@k{2uURUJ_#2E5_$3VN?lu_qArZ1% z{!TCkV`q$I=??vL7eFhpXnPuW#va~|C6l6RA5&ElS-&(1S~f&tyu6-K5!Nbz`|foo zVabIK!f&)#Q5Y3EBm4LcFXgX|-$jezrdvvbZ357uNdTsnXmqq4M(bCU{9oek$RqJObCA(g%Sr85Gxm;A zHcc%^nY+L6@P`oc14ZBFC&=}x) z#AjIt^FTV!bZ?>{-0^^e;!ZYh1hT7s06KECzPpENIF-uHf&}mY)|Lr?0 zap46J-XxUjF+7YcO()wCOa2kl5o=70`td0JsYRlQ%|l-<(>ef-Iu`yrOc)KHA#bI-N^>Y{B zkJJ!Z=gEEC?*_IJ;J~qvd`Fz7KH8SSpU7HS0>nxKy_W`d{X# zmI*PyTEzwhp6@4tmp5xLe1lf>ad!Zz+vWQLbnaGm5jljTeF1LB&Qn0Z(T0;!pxhd7 z<8ExrLWN%Eg6n7Nx2dpr=&0(_xoEHpO&h&u*a0FZ*;&$YV9+x7nr#%rf%P1|P7qcI zu>K*uz5t8B)r*UXIC`@ay73!oOvnF*bk~SHGv$>|T<5`fM`4OC(s2FEkX^SrfF7bN zb7lMQS<5muOS}||P*NKhmm%K`RSqPfN4H+g43Ko+^B%nm$z6WFBPB)^u*-&n6-u}) z5nX;n{YgksCIEO%Kc7{yge@E=5j`Ov8MreL{dBIf9R)fPoQ{u9feAFm%Gw$Ww#8zl zV#6R5Q%?2VBB}3y(ikav-gM$OR7_dPR<~~NEtUDkr@lCCi@~BK!N%pxg|(_=Md61= z+72+o7+KRi@y`~DZX!){^Tb0NzQdrX-4b#XN`$~#Tw zO=jU=?wh-j>wQd}&_TLco)j;o8r^%>?>HF+*XDA8Opk>N#xDd>FE3@bpBQZ9?R{41 z97jeLnu_9~7COYgR9|CwB3@_tX^~KRECo3%{L%7d?sCszb;GSQ&6s{@IiY8dM@G-4 zwCz(xA$J}j?V^KD3giOlP@WB5`>v-S74}c^5efmL*#C7v90(EvcqxM)!&|8>n$Ijp zZ{pfVUBrj}GxSTr2P7`;4RpT_ysxM-+OH1I@HqyzSz`AtCZRnMdo=;f^ z$wjvk!Xh@A%dO9a4S%Wx-eTZPlG?+nIWKC;k_bO|1Jkv8`h?tl$|*VV19O@6ghl0r zAirf!{y&TAfB3h7Qcbb-uQ_GAB0QasgYj7fR zyl7N-G{Bel@ZC%rzg?GJ%w@dX!KGcP0RBfE{8^OnOWpum5<8JXeht~sa^=@ zLhg)@82?7)w>eA8A=>^u?Lte{(%IuSf|C#nmBD9$fxgSHu*#WJ1E!Mcr=q8fhOpY6 zgEcc$#Kl|4C~ookVi5S}u={{fL+Zm{Swyx&HYicP>fa^CMQ`)^F4O2ofY;$Ss13}n zp&uT9QPIYsC(q5|{9e5#iA|f#D_HhGl0p#v{qZJ@s4;q-qNuwt4V!@o2yGy=;7W}U zk)elKzZt*LJy1NtCWjIOOx1wIb-wsTft>R zaqO_GRgCZ3_#h0ay;+=vbykL)X#9hgAt~gr9#GCv>Lw z!^qyrJsx01pOd_JUYm%!eRcgAlOA|~7&sk6KDm?$%vu1L+w?IMZ5srjr-^1sC=(K$ zK0ciiaure^ygoNNIb8lSK9evvf~c{`M;?HSdp(k^8Os2}GaLeVHP3YNVH zu0JlI@#3z}$`_gz{c8UN=o&(R+2v2Uvc~@qqMz0&9P~b?N_{4AnBQnx&~VKYAOWg+ zNQVqK#Fgf!fG`i!_Nd;`P=Cj5RE3cv$czeCTGHM|{p(Ful)GD?inuW9l;;c7DNYA= zeUpJj)WM?#3k1q1oIs-i-7JrRulv+nS&W?5DS>3WF_U?K;B4_HtQ9_k5~!oYX_aZh z@!{If`KbXxH8D0`Y(-LwU9<63#B&|_Z%Qg9ShekE<-}`BCy#Pz9?bq{D43%PV?EH? zPku5Tz%c;yh`&s0Cue(!+(XJ_QS&9FUuhOuhT3y7@&4fs9MnCUd{12d@$z*68Aw8) z z0oLE0|K+IW?+@jhe~DI>keq(b6Rm~o{`cOZfM^2mzi0u58qTLe+G}dL`$WV9h|C!| zxvWmkm%0s|myktANma#X1s4zMxaHWNn^#96wlmBW_~WW6EE;$jEx!ktS6Wbo98NUT zus52o_1tFM3M~9Fhj%{0*5e}8GH9l$a|>`{twKz&R1cMAS0n^wO+>N_&Y@kmpW;4D z>PcKz2rk$f7`Y@&;R(b7g&|Rjs)W8Xb(?J5d?&0YrxzD{y!&v_m8pt0cGTe$b*s{N z6%5|}3{PAiwE)f84*JlxWU<>|#QnBv{Nco`cO}HtW^y20Y^B)~$0MH&0+Ohobk9C@ zsU)^ZDrOP8t+MYCW`y~YS9aNM#r+uVp?VC=x_of9^@I@EaGq~+8{UambQw-C!l+Jc zh!VeMNeDCx!&g#zDN@sV1}<*1qM&~{1CBeJMxd`cL1PTB!d?carBaZb=8W@`QKd>X zIAEQm*%nK;@3+&iEl9yZHKh>qnm<6{aLwfrr=ZH8c=uUq`!pcfgy5rf@!UK1MK)fb@f^^*Sxg9m47 zde_xO#2kbo;11MNPcL`Xs ztJwP=&HkY>Ks_=lEA1kr&zH!AXj@pSr|gTGCC#Wt03B2hsUp}g;1q7LIfWu4tQ5aA z-8+&a+*%py6t8dy8~F8#OP~l zvs0Z{UU8 zz0i$eb?wOQ1O}m#%R|P3Af18h`thHgKN2llF2_PIc{WWj!w|<1m45lVc zXFtTy0-l{$X&*v$1!3T}6b?gyi3(XYB7Oknk<_2QbrH4U*RzPk1k-A(USwTfT%*+_ zlhB+zcVQww^kHNl_WGpJ_1gj$zbpgGKs}xO^ECqL96M%66^y8B8qoDmhp;>&9{SltCQimQvi5V84 zK)Zq+!vqjAB}It=Rwty&d^8&+Kd6?y@XZ$k#{ZC8aSXs*r=tvD4U|XpznnB-R&+cJ z7(Q%izZQ4gt3KBG%A=(HR;pMsVQ#-{`)#L>8$hGG*+5u`<3?Z|K({xl`yK>REVho_2MxR_C0d%3hkMH)}9Ttb?~Vd>=Z z!Ol>I@BsC3f*&D8zpV?G`Ab8yCVy$&-*f?6;4Gs{bo27lHQOxiRr>{+ zS!c}_3S}7UtG1qaCGvEU{IAk8ZNRn*8{`@sP~>lLco`@#@!=E7HA>m*@h)wa(aiRp zyHGe_tvh?<<$9-%Rx&d~k-x@$2_CAsd6aqEA~W;Dg5#JBQH_fIy05skF4aw@WffQt zP>8iycfMV&ekG5#r;Eo^S2eTv2bgyalBa(oab~|@d!1@$r2XvRcSOGk_~)!FxrUG4 zrGBKgEue8tgK^#XK^aY9#y@{Ub8vm19y~48wGopqzwaOtz7^|=yy)L7WkF5;ej@=a zD6FeAB{6uWBl=yB8vtg-4aVQSFgVsYQH(2J1V2#^;TnRhfum@2aw|ch6Y7uICYK9m z2WVB~VTYga%BuF&@puwbX4b2L*vu-YJ9r5A=EEt60arfVJFNEWoPx{H_A7mj;i^e7 zls$alK|u`>yHIl;cGZ5po?{_N>_&;XWLo>Q)ikeV`o4&Lo#Bc&o1B9w46d-m&NFo` z)Od(F+5gJKLjhro#Z6}~S2}w4oojAo@sgmeyd@#0SB0eKrep(^qVSzCBEwi-hcn+B z1>J9)@PAhvR0GCWcstY$M0n``3JX5=CG3JvJ?)abK-|VDQxjN2>X(tR%m6xQK!sg6 z=G7_P=nc5<=)cN$p6k81Zu+uhs zrM%KLyLM}zvK(#f%lNR!15U`Ej@);MZf^3>J>y`9rpHQagAfnvGnptNNdjs$*A&My*ORmPV>daehrMdOZS(+zO7Qpb}f=&L%#iq%i?rI z*Yr}L()+7^>oig(j}yGWdszPnXk9uc8EUYw6NtQkCj@Atb(tm$#q!rK)mI(}f(d&q zn~POeuTR(9D$CcJ1DP79ANuiN1f3RlC(W!EX_F0

ls&O)_Klzy&360K)`n`oJXq zD?rj6_kRlB&(zI&bi!8VN-1;YZ7LCK@>2p3F`pF5rwqh(_A78h}AHnoCNF$Ezh8BnNRaX5BP8}8S4PpKmbKPoNoiUW8-Y>KMoKm5ST}Pc@K>J5?s8k4zjYIS(l`eHjW!BW2I0Um)18fs1V0k+r z^V`Z>5}QG+D)p^OIm@Td?{D*#-tWgfk^5P_L0-G@f;#HsY}Bg#dxN1c>0UogT5`bq z{y>e@oUc=RW)l`3p;xc=0R-ig@z@n`ZyUn}NW9Fm3_J9L388!*F%aaGjK^Qeug8nyb$j<# z8p?jW^DgSO7(TmWqB-zfOLwvdtObK6E6k*EI27KpCMQn2%n0-OX~o+YMwCaa>vsw_ z9z|>+%Ur%pkl+qZvh>5ZQqeW$*Ee(ZU;-z)8T`-PP`aLo&eE8Cmiv#}fyXGiHWffa#?Jd&Vv0*j0314|Fl z^r!x#u=0~*6;6uIgn39l6;0_^HPU=d1aJtOvy0Kb|E(4S!yFcGrF0J9e!P@N>vufa zp|OKc4_gT)pnK#~vb9(ye>Zxp6a39lK4`hxk#&OdAM_0@a^V0_-a~m(A3(hykPKv> zUNKE{D?|wpw9zlsb3nh>(3z_fmnkc0hiNwY^gA0X)Ce}rcN9_H__Z2N-^~jNH|j3* z4mcKHwxTU5$*8hr*x>Vqy7v|T4ghM0=8mE|01&uYx%;6dl}#XRffZ+F%vE?LxAg|6Ox>`e(O z|1@huBMGJ2nPFlp$9S)e_i|++3a^j9^t**K&xBfw62MvlN#iNSO34n(H8vwa+DSD1 z+(NYKpGE9){FU;q&T+R1_SNNhVS^FEeusX!WCf;No1zURGA!amwLagZjF(=7OA5d= zuD{2<$tw)Mi3eP!y!>Ngyz-IovSvi@tF?jcj2@tUAlg&I%GcBb<5%R3(P{I|0iTOyTVC`88m1$avdH z=BQY2Y3p*17^STx2Se_>8O+mG)8S}4f>VrcNlx$R;rLp+) zzb>LlA+Z^Md>Bz;*{$sXE(<{W4Glo*e517gz7BnEsCk;!mLJo28Oxttxl@F=V_dWG zlYUVVmIe{%El8Qqn~Qa95Q77bwuO#W*41?uKQjineF4;#iy1{(3G_G9&jV3M<;%6! zKX|CK`2zQPY9c;D1;vSAtw8I`4ysAZi>bR=ei}uVUoPJ1 z&Svf&6+gArnWtp788l4!j+U!w7-)6YQ{#VYVzB+w6;Af;j0@3W#25SM<78e(iLUfK zO%CY$p+le_atCgttp~Q9n}NeaLu-yK`_CPS4>m^NgdF8xm8)}&o&A3`SYpKu$GAF( z63tu4YgX6GigT2ZV{Uj08NK#^87n#xYrB$+n4tdd-S5Gw#mmKc1G{cZ&Boa-0^MFR z=O6ex?k#xnC!?2TXi!OUHb^j8RGg4~n!5i2Vu-&R-2>?LPYWs_9ukIzQ~o?z-ZBRE z#<^()M>EfPLk{xFM;t-g^FMM6;em#B(ba7K%uwU`5S4S@8LR8_x(xztMxoTEONOk& zh>^5@NQX!bJ;f}Jg=uvieMo3^UD(vyPYBE+4~Sp)>C?~Ghh3N>TKq6}eu1k3Bn2t; z+Do$^CeU4+$;neJYyF=0aO%z$iJR*0NC_D1cov7-wZ|V;ufz4L%+gE!E|J{&1q^Nz zXAJzNGtwhprHiU&s{D6J$sI~yiV7!hUq0ANsBx4fq(7;uJgP!p9^W#Gxcgy;DnmMe zy*w0ccId35W|s15bmgL)RU#nz#e93Wu%JPeLtHBLw=9FThh1(1HlujL?~>(jRzl=@6@-Tme)x-~>riH+-znH0NDGVOl@nCM$LNm*7n+wl*q!miq* zYWb?+rDh%%-b554#&k>%Kgfb8qT0PC2`IF&x3j3m*e#U4`JQoWt39B&v3Dq@t;Qts zFqcs=vil;rja$JNMMzYCTPvLyJ0^rDU~rGh@p~==kHvgHTh-MP^;~e1et2Jnm(h?@ zP2)CUG-dSP%{pS5IL2ti=haksMN-vgs{&@49!>K3>_b^mF=f_C6b{opLn?u8q2*%r zEq-{wmm-nWv|l5pSY@Nm?&k-i3>Iy|tN&fT1-=j`D~AhkRl_$xhxZ87(K)bm-=0OL5m}+za3FZIe=gZht+lU zxEN(i`D=lpVol697lXX-0@%nsIuWt^+*{vYS9BzbEv9*ES<;V(tp3h>``@ddBMgM9 z!bds7N1V=zOGjaaUYO5*LO=;}6*aLwbMbKgu9}ex;uJMaw@?K?khm`3=qa`s=+J_#%~rZ3VXrm2&za zbHT+Q(BnEU_s41RUusvrj1j@2cJ+hkcKlLsG2F(UV28@Q-)4Qw%NypCM!5NSeehB? zD!Gp|&3LdjH+96bbzY@ZtVs{?@_t4#;OTm6vIfuZD!u&|nmLrY{UQyO;u5!s&HV1| zzbL$^I;JVA4yNbMd+8m$-q~V7uqexgd!@5`MCo<*m0SpN#PcV!vY}RM1oa~F3b=ae9G+ZAR^l+V)I5^+4s1(fy1LueUy{!|6O7s=1mdp4ENZ;$KnevY}-RY zB(B%E?R!C#C1BFp{j{-L!C^_!6PxdM6aVxNJf=dN!-Tijt^N(J_uVg{tdvGm>Q7Ai zd2n`3! zT@h^K{Pfvwb+v7A`b_KX=^h5f8c@VPk3{L5l9liX@h41$e1VEtgMQn&Lk_|mEz9~NbQ4$?Qb8>y{Qhv?pPI+7QU`;(p!x=p*liZFy)xJP z?slKTqHVkzs?U{a_IS~68x7HmA`hngqq>lCz!IwCka}$W2yEhWNqMZNOyf#_yL(OIJ+2ql+7}%vAIS-L7;9JM zv=7$Q`|POyY{MpVx3H%_wIS+Yh+9}(4aUU~be@(S!zhd#XuSeLCL7cRhNPfBXF@!KkHA;$Qh zS9pgGPl$D8KU=p*mVWS9g+G^Ye{`G>6xiiGH#L4Z$i-tkt{SeuiRG{XoxMdX|5d0G z$m3*hOq1D$IEA=WCi>tDh^(P%_m4b?L1z`UTCXe@QC@0ld|CYuO4tMB(C?DGT`X;$wegrZsfcl8wWWv)TFm?lmoxsGTN^peNF2{gVxw5 zdd_&S)6dCKiQ2{GVpj)HUi7JJ(}zZ1H$OmdY%inz_*{JB$OXzt5*mEAb&rb~BI z)=qv%N3Cn+O-mipmgPt_S=~dlPLlVhefB@}Mhu^>bfpaKoGc*?k?%>?v@Ve?(UNAy6FZ%8b!KGQW_+sySuy3#`pQo zxvujI_S!4v9AnISN+>wa%Sq0&Ciowd9OsALtN1L{`WeycygmkB?uWh~(M|Q-ubO4Y z8ti8$W{CJ`5Qt10UkV#2Uh@)IY@d5C*=Fi`UlY?0n`Hc^iQ7V|(kc7PNi(%4;eSgf zcku=?8>U(OU*?=DuKv0>dVgI2GfhfOMZK+RRCluPk1)e8XltFdm21kS)-y+%jtlR! zoJJCN`Ta_4rAfze&wt{sD2ZezXT<@Ez%4!dt(M4I4B_dg4l8>0uLCOLpWzNFh2{JS zaOp>sd76;HhRn2{{wy&o_#6uhiEZ9pKS+)y@ISv?W?MdUQ>1~m@K#LCT zJ-Q!Uw|mFwyQYUV8HrQ>^0I<~g^eiKxiCfhw#nUH0G^UE&ta^r&@Xi{+31UXqKe~xgQG!FsNsLuPX<(#9HK!`p<*q5 z*he1a(0MtakPICQf2AsnIX${Q zcgMxPh;`y{*Tn`O|I8IOlKm!xn872R`n>=?MuYEFXF1DnJEE*$2H}Y-~A5%ju^?kkxm-pLdz|n)R=0eERx1x6TKoA_$>U<%v5z zPQGwGE2NX}aF6@(-IxR`v-|L0^303->9c?ArA?ew zYWwQ|`A@!nSFggcspV2XRJ@c+3%%#RGPSgv<}e>*E0kOXZLgjO4b{f`&U>4VYI=Q(?{?i^4Am@)P7(3L_|u3ai+*oY|F|tw z-v8=diE09otz>rX&B*UNxlN_uE*K?7r=oOqFhB%Ft5n1FUA~QM(Tq3nMM*EM7Jgu7H-@^O0@dF+q-c@D-o7VV~r1hW=2 zznhr7rhht|a@S#$hsc@Yrk{##{DrY80n?sVIDpMm?FH=)W&gvn$O;xyBAB`Zjml(RYIbVvfR)FGK#)tkO(34FAy z4oj?HPUePYtwXw+FbD_~2N`h@wY5#XwZ)r`g(;QT*ceb9^pklm8V?YySdK z!3W4(CbUW>H8XkH!1nwc=5Iu&g0jus$8S|Dm38mes%A$|#$KZ0KX1=PxnI7@$TGzBvH zEPYKFqhs~S0>~zG#e_6*TYu->71&rBo%pcP?QJ*iZ^BCgRw;;zYCa-cN*+C>pqJ(%g8wQToNNJ0JkYn=x0&Ey^X|5HezUetRU%|pM(${C%-^95p) zTgKv}pV)O7Q+Y1`yoh#K!2AW-csyqn=8^4`SNqkK3!@_b+ZqGmZC#R&l4Jh@N(;rc>RcwmU8Lr*LCyv#-*}1v(9xre2l1A1{GRteCwmEZm0kpG zd5^eW)uUcKNw#GqpOeCE5%K zi~$jLmOX<-9S9pG18&Ba^@`n$89~1}z{mpTT`_$Mh=kQB0BVCBT5WptWc*rV1n$ps(u=W}SSYm9|jFhFYf0 zh2$h@kz3chgF9S_pfC5XTV7806;*?Q#r&1~T=U*q@K%7S(EGinrHWsdsP`PDO(EVt zp$~wMuuzmJr!5Ci4esSW!|wHfY=nDinuKY2n|(wi*{huoNIy}vYPl07zpv@|kz$4- zO;YPckBf_dZcKsr#dTSY?Iv~wu6&%Ix|U$5A$&1tih7v>Q!?kr^M6P;b3_e3hk%l| zM&((hW<1y4w|X?$x5tm>c--?K_jC(AESX42|C_-i3};FVX>%>$JO@fX*c~a_b1W*V zOuy;Tgs_72^Fm*H#+_b&ay!Wi)zW4an4CD=9c#(T;ac|@`4L@R0d1`=R{(_=$3i>l z{sOIthdv&Xd$ZhF@c>99MMJU)U{MATrvjmy0I$j$;P|Vc2Yzo)*0~0ITVXw&f|_i4 zqKEMWOu?J|C#$1CWk`{TJE;V}XW?#IJ39ELovQvBNN>l=(RzP;nrLwJ>bUjjVrh5j1r3+Q&ffp*8Kp%6|$N-#qKoH*9$a zGmQIWZ+a9d^f|n`?nMvm$pGVs&M%2YZq;y_lXDHfQD3UIWFsWrSB9o(k zLnSuY)(|2HV(jheKm2i-t4_~Mq#I}cPd<%B?F`Bk3F*2iZ&)NI;}Hl?zPdr087$+(n8;xqfQ zAR~B(P>`#`%bczIpJs_2*awvfzw*KK!@6+qO#%O6>-f&$)XKDb>Gn6*essuaa!aN3 z<1Xf{Jv0tli=%9tGEi9-ZnTU*l#${r)30#fk#}0DIInzy-n{;(yMkCXrJir9?3S*9lz>X+R*Zao&)X+~Z{>)r3sg}DwP$1}f7X#LwO zc~O!e8W6TWWSJh_X-Bwl_fI;(i;!mb>gNHh0eL)G?<`7lwGoEnJyg?@Bag0%;~iaz zqjG7;6M6;BvhmD09L%csaupt-{D#&!#tB+%m`z_or8+!_TzOObYtM|>@GXbC8Ma>m zQAFk*n$zyCPEtI_HsGeBqT^}a-E)ZPWd?Icgg^)fgAK;}|BQ1j++SR7Y0}%#(<41$ zgr!Lr*=ps`8Ai{53!l|5R|7cK+rKQ+Ns?F3}?~|q#XUm0% ziJv(Fh=?Fo<*I}svITtJr4)d;pgp^ffQZGUU%qRn@#WP z`rKzn!phgdZLQq#Lw)x|t!yv7Gyv%z$3oz`Hpz#s61z?#<}{z3iJ-f)DOKIwO;uq6 zJ^l@9Pf!~I0(*^HH9RAtLAo8|*4SFq}u@`djyOq7bLDr@Gfo~ z?2a}W;@45zXc+5lw4&81!&oYRfW>g)oqRLXS0kTgrL@Bljpdk3c8?Zgu&6)VAIZ(V zWBQHUmI_sw^iO2djuBRjdyOrxz{giZE!#opxT~id`L_8>Mip~>@#r4NX63~|p#9}D zAz`T2oz%Zc59BDJ7y>Dd$b$!_Y8TAa=Y0whE+TgoqX&|auGFIB*ksts3ewH+YXU*nh|Wt!e8N{xkJFD zrb#dS_#wf!KjoTujntE%m9=0*J)IAosJr0*{3;MW;ZwGo(uhs%{wtK;_LKz95^~dC z;w;2kol)>3SI)j?Pc0BFM*)3m@C!9n%hl-`B7n^NZ4v_t`fzDE#^zD_!J18uuHHY6 zVq|vioW(SPt|Q`CgO-bF@bUs*y@rKG;3Qqs!rAYb6_fXD?j4Wssi$Ns?uNsUgj|6* zi_NvQn40V0KXP_N-kFMB=Yi=O28K1-Z?mf*?E?&0phe>zf^XUjdM;O*& zKa_#0n5l!obfp|L8?{_j5kGl*$M4OR6R7kW!urzh7dpzGkGpv^3b0`8UD#Ra80;;T zJ=<8XWqS3>p(rq?{&tIKD_X#8+{srwRstg0D^tf+3ti{sx70))7?OHNXIJYtDNXp5 z^eicK1(r^Z+Q4fEW)4IS;cy36+kD(nd-(Mf2RJ6_9E&_OkpfZ4F73|opL#;>82B;R z8*5UQtZxAmzaiH;5qYR7W(?e~eh=VeNh89e6{1BW1O7Pq>E>!IvxN^Xw=E{N*I;=u z0J2WyD(pt?eNYkdAEl>g)o6>!4o3qf0K7ZVyA(;;5TUdd%0@3${&%VE10fchafWb? z=60-gxO7%NTj8R$%+s2j#CXE)N%KRY+D05&D2OFF4TQFO1ZnY@+G`-4Iy$I{<%sSw zMI5x*07;(2I4Q|Bw61`YdZ{iAmf2XJa64J=&y&c&z&4_3tLRyE^ko+Ylw)X9^^Rgc zqPDWfb?**uSm;C@+wh`aTV{tQDc&0D7J9QltVei}JU~6~3?k_CrMYi#`%~c#k(H}xl~Ue2e4uBOswE^J2H-b)WJWW!?@lrDjPa1p|r*^zUt{3{@#|uFB@zR{`{skY74gTLc32paHgO7{`JLd zE8WyRul`OjwdwYMXb~m%Bm}I*N|nMP9UXqxQUw9jhbr)MlYPk+tMQnybCsCEbwUE) zl81M_xwNprOiZlommd>-KRr$SMt+b)e}TZk+=+;HlZL-Eyti{C5(Niq35+O zv6at{(^#8=$(+5ls1Nfg(Si!nq`*ejY?&5&V|_c0@YLt(Czkn`3xHwaak9hyX|gC# zzA?ff5`>EZ*0#qF7cL0*bOIeC4|jHXpIGVvL}Q2-LmM?-F$Xl7e}{;2V5kNpwV|@p z{Uufw&IvaUKJ_&(*}{2Br`*XS`pOS&X;UgJhPlow@ABIg=V|<-u$1$g*0|JcbquI^ zq2Zb_UAhjhe|%=%%=Z?X}F>RW4;aUfjpJImqiGMOvHJF5uJSo=4P57L%8x9+t?qtKiTyf^d96uPzfW2H4fF-m zEA*-lPE9YF6#mCBe1nABPRRIy=@HT!`uC|;m?O`YJI@PFC+Gp_4-|;ST{tPje}4e; zjxcEGwbRwcIE8pUcD{F?BM5ylE!o=JlB|Ws+xd9MEQu0yZ}^C%u?!)JvYx-aJs=^% zC2e~HA&?T=Lka*!C)LDg$m=FQ=ta)f6An7vilud4zgMcX9Pr8?`Z*NJcjhsoZ}1}? z2f9hPJcrLD@;s%!w7NC=DMCV)o@FJNf?@R?Z%tf)76$oJf*jsrL3i+@9^w8K5=@!L zsWdZfL3vWptAdR&G9f0ra_;bV_%ZZi<;b6w7GmpWhqxFkM@TdRjUTj=VRh~I9Bqt7 zUdoD3L7(3cQ6}q#%}t`WJKpx;y3oet#Cfea}-Z{aP8^C#e zs2ceG%1100Ri#)DmTvj0s$cm@g_YSx9xl2@7C|MmV!ux6EI{FlEtHH&9xG<=OVw) zMefcijLJAG%w)6(Wj(?!O%tE!mA=NDOg-m~9lwm*xUG6qTHNq|Btq*~wH?lcjUuB+ zz@SRNpa~L&y#1mNQDdu&)(hEl_Di-13PJ4ivp!0Xs`sgdH|~cil)y?<>1-aW$XWfm ztGgc(E#3@s?ZafPH<_z{FY2WZq)<^HQBeX_DC4y>t45BZi(>tZBGdfMGQ_)o5`7sV z^B}AOj{iARYR1?4pQk=!`FAik_u)T_8*CLm zQ;|WDkwB3do*-CQSFNhtEh+k4wLfOX3EdVPVK|8hrYr!(h3*10D7F#iR|rS)mNNJtN$VP?A!HRM4h`Jlyt$ONcFaFG}Fv zm#XK>`E=<@6_Qku-b!=;^w6IHwF7s*Gu`akE$p26r?FRf|K^bmp?f+o(VgT?8W&!< z8Y{2E+rCoELandy=-mBY?5ig&Ap?3z|AcKf5s~t^`B}4@vi;?-FjXc16;pTM7nZWf z)kgsyqx}g~1SYb4RVX#qwlc0*%up`^V@={W94@ifEi}R>Y6|{)`wVRIutb9%M&I;flqp z_P?j1gCTZQ&n)kv7MMLe1xX`00XSeScI3Z9rm2ms4_;<}VO= zQ}ZXzr`PynaaGvd`!wT@5Pz}F#hIb8dS)gbx^G}Zs66<+X4hKT5)IY+$O_zz(d{sA zOC+Au_kbQRto6!6{gYgJ9r^RdwgFzHJ2c;IlaShzNs*GjvV0PfB(%6NbgCl6#>Zfv zr?bCKvcDc|5c(PO)FDn}@5($3CeM16Q7^YQ%kL~E39vY5GeUdPP*aAJ93MsPKxEkK z168H3XF(CIcetH2e|^X1K9PUpz5KcMqdt|~;(d=AdvVQWlg|;~Wb0J^b(%H27fB=1q^`g<}rsfd{1exFaBbNUgY>?=fOn?Z=*Pta7+J|nN-KA zr*dU8M)GrI0)=V~&^PuCePP4ckaIB(b?+(B6$hHDSaDn5ySY{Pij2RXWoq(2H~yiq zn(p@e6Oi5}k!ET0Hzx6gUZFYIxUuTg)?Q3jeJAHX@(mkJ=VNRvJ5BjY=PqH$n=L#2 z@jC@8k}ADm62pD#ecf;XGVzg}SxaZf+zM)nMJ(vvF20Qdi9n$CZ&m3-QD_RcjUV^Y z)sX`CWfCYHOvUY(Hb|m;)E^)v)jUx#p55jgsABv+W&lg9C$W-LL+Q;$Id8NdzEPQP zUev<$cEd+i*7~ab!xj;1k|5zA#d8<&cBMldjK=isg&{PfaAOe+Jjp+UEdsEeO@pP$Mm~{soPdXNDX^7XuZ8mz8l6;tNHh7vWUbYP$_Q7sF?zBZ)?D8D~Z)^EM zmz3_Gb?f6#mE=%d6rB;ELt&J9>8@z1Be56|7FK2L%WpA^ZEbOwXPKw4_u^_KYBm$j^YJMm*>fudw_pu?a17k@1w!z?7MzG)IB4dxX zJ5?z<+S?X^KCT^o4rkJ@)!4>vo2&Kzc8p^n);i0lnLPT`10LvN{QManvJHioF*j(A3F!W(gn;~%^xw!?UMFv%!fW+(D;C8{?aMQmTfY+vdAJhsF9Prp!EP1;zQ}anwW- zn}V0N{4F4~%RrV5`VL~4^x!bJ>c0M0P7>A0626u;G zvhoMTD1H1xT~^s^7nR)Ikkf-SY%86cJRh=hzQ0wWTet`NQtLmoV_2h^=(lD$xwoFC zD)wen#B)R7w{(+%wV%(FHlc9XCos-|3UquzM)mfdb4j5j#5$X!@)cmP<$ed&R%H6lirDdZHx^`W8DUtl0bY&IO% zvcNw=ENTBFyIRPPoLrSxQAyTHbc8PNleX+Xz!^{- zk6-vVYP@jC8JFn8BpiRIP-DEhe-q(a8s800)bBOpynk4NOlb)EECpn6V!1gqAQMqK zCbzu3>wWd@v4)cR7fKOWxrl!-#pwuxhB2RY_b5V3IERRMSV9fwvxqp%Ot0&`@k3gv zvPd~duh~-1r}XxY9xis{dTfm9=B6+V3mK!y~p5-ZN+i(RsHwFzDF)Hb40DDCB zhuS6*LEyFFa^K>e-tP%Z`al4kp^>CqigmkKFr2SAEHm-wu>_40J*~IQVk)LyemPwF zceR(`O|jz1*t~mH`jK@u>aiKvgd9Gv`VB}71lv{FmM4`vHg~`dT|ALc>TXJDqJJMn zZbB%t<^9yv-Q|`1>rkWf zzU;pZZGqNQ8v!c~0!^*&=ld(pb)WWk8EU)@W*|c4PuazDG2qu85y&Yk+Cj0dqxUw( zBN8gQ*+VE~w0pH1)1qa$d~M(#uI{ZE%$)h=;@jF=&`fT4m0Zyrjn#01zh`%Ig|&7D zgxGY_0OV9l=-K98hAGo5pa!43$VNLRwZ+?9jO1^x;eYeGj_uoJJoeNHxc@La;tI~P z@rFwNy#2C&+XxMJHjJ4SFUr0w@Ao9N8`8t%?57jn+x}Px<9Mb$h+TQFB?S&fJ=!T~-~n+RDHs_sDj*l8zm8+~I?dI$$Nt z#veVbr!;2jT%G^fYff?=dUc)~fiHX@`wqe=;^;Gw7gDs4M0-r%M^j zS=ioH2ld5S@%r)XR)VFSejPBjQOh@p7x37@O~}b^;8V=tA4Bn0Ir;1=L@ibR;efSX*9F zp@**7Y4_Z{Oa~If1>Nok_lMDU$d7OzPtf6>Z`Dy?vVXz>m?N1O^7j4(MsRg3D~xY5 z-o_mJaYdEUtDCNUhpk#%40X-UPa<>9n#pd$ z3+9HqoldD6|5MephpQh9GYkm3*o!4<5=`uF@<)v+1|KlyO9O>u4I$6Ish*FBvYSys zwb@4}^?QNdSxO~v5O3QL@IEf6qt2MRq_ZO$pY{$bfYebbkhSr}Z@4k>Iy9y(;vV{l z8(KkY76chTU;zJ;f$Pn7to0hEec52kQri3A71+Ip;Fm_JkkimUt6#r9CR9r&Ce{F% zU$}ctWjovztlnt%wU@IScjQ*jZs;l$!5wDbw3eLQ-utlaR!dK35wTyALG*E5@~9G4 zXbH@59NwG_?n{IIsMKz%%+q)_-2b=Y-r$MNIq7@(fe!MHEft^cU5B&qo}9#+=l6j# zbqq~wz8xf&KK8nvtq^VkB_vVv^=%HP9KtFKelKN14df$3DNbZun1DrnS4KeJxRm^$2(K0#tphELe;f9&L5C+`vg)1F38yNLy+ zGHTmhYSj+_CSw?xj6HK7u6(Xs+8Xji-=hasKa>E$XH&b+$Ry08V|3*gA@pkE0XYO7 zdMYH?)!nUgg(}0#=yK-Fu12o@!1@y^p~~_Y{y^^is`sqmedQ}=_vX*z$HR{LSSh0F zhZB1+8-*=Quu6n+;XAIAaN+$fmd?95%!$f1v*D8xG-@-hqDH~I4{Cz15k=zy-(p%n z#Oh58-P?edV7!g=5#zmQ%OMZ+|J?{lsJj|Wq}=lpK8G%SPYC;HC-#+NNs~TUhPg0Z z&%%5kf&O+JMX~;mP&N_)8>Vm_R2F&Cv7))r8@njOvoN6Ykngatc4x~TM`y23IT0Z} z$L+6|LYn;rKxOP?mnF@wM3KO5T4t<)(@^gHt`-I=74?gj?HgVAWaqCFi&=^f&J9i) z2Ose~@}$2Z;%*8(A+WP7lnUuL8hvm5cj(mcBxs{x#fo!AzP_>1++vi5Zp&Zzt`1xs zdDYa&z*tSF(2vZK+1Y{2`@dU=Ma|HLOsm_eH2VAPp0;GLMR?8~UO@=!l-_4TFH+)4 zM9sWYEdb{yOiX&?*# z3l8)UE?g2q#8)|!=j%Oq1J+ZZ?CWuLF(XYsMDNVpd+qh5qii!TT;o`jQDR8)sS&a0 ze6ia6V^Ib^M+Jaxn#1y0?L#aSbvDXp=|fs&tLiZ|X4g)fXCX0^x(7x7gTt9`Pg0T+j7O&QDQb-ahHnDnJsIEh7-noPp}${ zBZAwTxx9&uZet{#SrlJqM((78SClzXDtvq{1?0P5E!-5 z_7AG5@lM|_@(w**xjBaZCJAPo&1jytwVoaB5PvxNT=_Wcq8kyGExPp36(?=Hve+&$+wZC7js;)K?D zhi2=$ATjG(i5?IbMn)G##^d$6So!!(KU>Bxc%8QO_0w}wE10tV!pW$#PZGYTjk|b) z@31A!ry5aKh>OcyUD;mJBlA9C?ZA~t{y$nJM#3f#Y91Y&%6}6|@d~sn`qqPs8onQ? zp=Z}ur-ul@4|>R%HA*bohl4V`^l#OIV~r+zi0ol_AYN(5V*B3P#5ua+><`^3g<3lm3kaIS>Yi^{?lzs!-cE(Vres zQK;(jOpgbr{U7}&I)O%hzPB=ezY)|KUaDVOr^A%|hoNbqyD#6R0)uH>V^169oV$V= zki>h4>vK!_bUcEX4B!5Tq|+7|KTXbl37nW(W{b4jr66cXR+ls(Q(8(^&fZ#W-~>lsK)r;=cbOAHH&U4nz4?4;?qvDYD8;`O^&| zzFf5vso*{$ai=?ZTeIhV?B&lg4#~na`};cGUElXs+@=!^d_cDq{@qM!3mZZ&bYOzJ zurK)5BjAHii)hpbq;FQR>IHf!Wi6zXLhjdjjaf0H&YErLEw_ykuZLBHa4-7WEfGcw z8zQTV*@9;9SIN^xm_ma;`oApSea$>hk|J(ISYBj+2~2E{6drWR%E_u5to7v#Jh>>4 zikly~7t!fF)sIk<&HOMi4>m4rZ(VF4;I~8+5Ky10nU73;veE5`U4wlnb{9+MhYp;C z$?LWQ4;LQhXlXT4C=L0v-y>wUvm49IDKY+f4nuh53xvWS($V9gcA@7L_~-L@piV9c zVsI{Vc3t!g!*{Yg?wwg9LCY;GVvdV7`jmRf|}_D%5e{_-~lO} znOFnKc=a_;!u^PG_;On2pH0$2>%?aA+c#c@U&i_UB6!7XRn09p7OdxeCIMeUdskCH z3WX`vX%;nN5egqV@D>9JV~B}>Cp=-TWxHDrh!+k?7%fUe<>9F>AAaDPStK!(H^~!j zPLb9^EdGM35{G@*c}mMSaN5@*)6oFlNDB3ZFHAuWkns_8mMKrsY zs~!~xFxe9PTJ7RA+BZQUl4Ia%&>l2nhc(}hu-|g489>*CMz#GyIeyRZDF7Ay?@X~& z7z2mnOyup=nS`xaj^|&X{k0}?LqkT~K%|X6D7>8K?~1-?;FDIN1!36NSvY;}m?9LY zP%B*>5@{svz>U15U%2?3)=SdDZ;WHR7N(=AgzYZ)=D>kofCXu{f-oZMNObgq2wR3G z2You@&1(Qge4rCgkd4iRMqF{nz#CQl96|k>**0{20n^rwqq3pGM^WE`63T$8^NRNG zOp6+$q}4q=R5*+eSD`enu@_*`u`%0&BqLfBp?aDA2ZGS#=N3e}sqi0<3;CXaP{`oG(rbpxPdFF=*NV z2y#jk3ex&?17rlxQb=a-}Qiw<_f5^~yq9Bes>JLrh4Mft_$mQLY&APXo+Q=NR| z4}KqBn+OD4V>FaYd<@+PNdTs?x*5MN&y9mQR9oZIOEx^2H38`jXsu4ra1MG`b`9{K z`ck1+3tbN8(wD(i&8szmyWrGE35M{?zdZjowHeJ3J5vfEBDmg>0-KreOvdaVvK7HA>j*!(wN-ami+Nl0x^%xWb5HhV1gP2qblbg}$Bt<}JaYW`E|70_XD7738 zOQh>fE}Y=3Cmz(Af|OvQGis|K*bHNGi+1MHGw&l-aqu=QClhbQD&16rriLiry7kfo zRLNv8$8iWIj~2#iK0W}5dQ~3qe_!s}0=JRjmuDA;$%lnjdau>z3Z=5EF$If%n&q}) z089sfin~)b*(&AwJ?lA0d=o7O95@?z;s0${t1}~c^at4{;3@v}_wgX{;P@+bOmlT68WS?$Km6}tT zfW62#153cgziIJglqg}TA|TlaIL{4_N__H-mj-tWI)XL?Nvb>NVp1qGk$@oR)9Voe z8#xq~jBn0CA?jTfDBn=gi(T^OvK4d_vb`Dh_E?Ft7qaKaSji~4Hv25$m)j_-iMpL) zjD2y13W(cW?zB6PKZ;8ZRBAP2=TXC-8DQZ5tQwv9>Nyjz$k0@Y**_amztrN~d16Qr z=nPx+X(O*`C?0+)mG>z_?>X&tJBwjs>j2+Ds<93F0dACKm(ad6s2@4z}UaI>12040~T3Jt&|wNP(6WuV8-`WSH~wjyt|4 z4`1>}1i~NmrE|MV{Zv3WVIF!<1tXt^{17fl3MpfC+_HMtKe--L(uJqU{qxOZf$JF2 z>Iuy!tTomseTvbMehE3riEF}GU0qAu53`INMoBi*f7$EsG|>e(;y~Znj+H@xx~Wy59zFn0dVMP?M4vgSssvkTrO*Swv#sRhx8s3bD@N z;Lw@ExFrIaszl?O)EJ{MB;|Fx_&HUw&IFO3I9v278UG+O;>zc7ue&q;f9o8%+KZ4y zfIA0|m7;zCvvLGTr2GeACFBB5BwRG;-JT*S##z37xv#^FJ!u}^ULIC&ir7^McPEF8 zI0h^d2jveYqsL&HnRF6kR#(!+VQ5rz&XgN2j#g=zDg+M7Mc(8@Kk`3Oi)4W+=Bh+U zR|Thor@BrVig9P7_F%tFozd9J5rxm+$=|{eW)dUh*o5#N7MNs@bDofzG*!xqLnRwOG0M%=kJS%zFxP z=Lrz^Ou8fB^J${f$F+I$&T%kH_5=qoV5EVkUZgvw_;s=DzFW7?mO0X z{q;{UL4|fMX|BW6_q>(g+~syT*K!ecL7&M5bcqQRN7N(~#9UOCX6N2XHr3ROO!4H8 z1}3c0Ug%c_Qhk!+Vei3uZ54ezs|)7(3?c9cs~m3z@S{>H+|M~;tZ#faksfET_MQVp z(BduL<5}ll8OyYf`YSfk-!}Zy$9S!PXWB9iy*J(}`SKD39;IvU7fGOYGKh+?waT-6N2<>G{n;|7Q|;U zn)P7UDioF}AZ1rYpQ4UvlxAQ24IP_@n#s%Uq?aVGsQX$wj+#sjC^ux;P3*B?J=sb_ z-2U($c0sC&4bEOrC*ZFLLI@F(Fo0-3NEQ)p__83Av4(>O;P$P2ixK-wsOFJ|#y=M0CA6z)X-za>o&{ zrio5Z{Gp33nwNf(s@!LX$bpFsKh-R!zbk4U<1^_95UpNp)iyZo+Jngp@k|)0iN43d zqfPzKx09^3-|5x=9W+Vxe5TmCP}IR_=uTL!!aP~tZ$HB9Qa(VTje)SqckG(d?SU2m z5K@L|kLkz7erTJQqtCrr5wW@Iv{2-*Grzp1@y|k`Lr?L@sy+eBREOXCWDquys09}f zUl#6UhG=H)jw>`K>d0)}{n)$|zY*I1aHj-+2Fob?EJJwFuC1im3^S3WuG=;jLg&aa zR~(1f`F~67Y)N9L*G%e1A`iOY^AXn2A|Tu(_eM6=i#>x;5`zZGcV08+ZC?*mg<2@& zrop##kPr21(@09|y7a0`%AxSAkJW+9&-spn=7)q)lSCD@v`!VF%(B0yO`w3{aU)Qp z5@k^c#F}Et6ux#Je<{Zsc}4O}u|YYpLM%0j(DlB!Xw8!EaFf)O6J zIGauWT-@$(1iZC;F%uu;20`-$Dte)7bHypW&n!wH2N~deB@NRaYHB^#s9y~ALfW|j z0Ez|xPz*{&W9MZAqsxtVV`Iq0E}z%q@E3_cizU|yuUx%_M(6aC{BvjCECdNuC`G{7 zfgEq$zf_?M8w8_4ys9eCT_P|U5L%g{bW)k)DOqcq;D{BFo&1f>AW=OMF&GLtT$qSe zHN|Hm8=tUFMu~VIA#6;WqqJ!LZf zz1alSsyTUG1h~afFRlokm@ND5zfh<%en5-P+e@7Z2yhYW{(P`C!K8Z(Pnh@snMu=r3k8u>- zhSSbdb*2ZLyEu@_C7j#Q{?%t|i$8h53NFd0tT{&Fi~xh04i|%pz!uyi^hKxI2p0Mi z-%M0teDpt8iIED?0a1)1VC2MKK&>xU(EH7E21t|KLohV@o=znrwt}C;D{IW#56sw}{STxK6u??z+%-7Iy2% zrz9~u{Gd&8tbK8@W!U!3qfm!iv=#&ClXQqlc)j(@dj-LjAp!PldcA2&!$=Q)x#fMeVDji3iTEdg z{7wEC{DTzq{|h?0u^BHgzFnJA=}w@+JkR9G=&S!Z_FFP0EnLz-`!km9q4*fBzUU;7 zyhO340y4rJxnht!>2`T$wrq;PKy31Fu&swcMenFbq|tTUwzdoiCh+>sVl0Zy!|M#V z))w@9jaG6X@5dv=W*fN}2R9In2aFuSRCRV!PDT~EZ}qiny5W9UwW4W~#9B9Sa2AQ; z$Ilw-R+QOUo$F#su$qSdHtN0f5Y`fR05YMZGUsLk>$i>|8KF1m)Ahd4x1cLNldETck!UArZKp~~4g6eHTVozGcxO4oiG!Ln(gTghG|EHT zy?}=Q^8RH8>kBKJ^bezoRr!{}}FO!>D5sWQSlkhht;@0f6M2sUgjYEqZW zC~La^vz6JggG9`rI)If{pgAb@3BA&{$SJ`-l|Pt$c$dk@Ndi@J;RA`BLQm_^U!c3U z=x35Nrxem}mu+?L*5You{2#_RpZ2M+N=vGLBI477!VzC>G?whCllGPF0_rNM6 z`!!+PEFin^0pag|uHo~?PPzqZIfZONqew0T3G5T6-B^tI>P0{%b}r#4ZQ^QED?)WV zWzvKJ_%!>9K}33Vo(DWW1FJDqb@y#fV|CXx&@V$5qt~)#uR1)Ej56gWmZsz~MVMyX zl_dszO|_dVxgwRRF4O~$&;I|k_tjrfMqRi_D526JNW%aUf`mwS4z1*XbO@p}64ElX zgfJi=DIhR(_s}3Iod(h=rGR?R41Vjb@BRVzr*AEP8JE6s&OXoH``ORl@3`|%eb&3$ zh}G^smBCC&{iyV@4~=tW5<8w;X1}g|VtXypxk$o6oK2NaG!QyZF*8IyZj441{cx-{ zQL#0?Il{K%J4oCYRKA2r)AO4wYi*=MyRB)FO=7;2#SaOCK28>E9#wj&dXou5)~+p_ z4`EAh^@XWqjD(SrPao3@L!ev=YW0Jt_H!Mu|8LOyZ~N+`L(tIB_eVB&Y@5f9>Ywr- z*ftCXa-P3Ghu7`|T`Q?5==~ZK^DBH|ER9i_f|b7BMH*L)SSpLt!%(5@lA10z#vK)4 zh@sKrh!r!jpyE33JC2h)Un{3vDxN@2qF}0JcC4wlB>Qu4UjX-`R zq@*86t03vS&4}>GyR$o~l zV@_QP{R=+#-;e;L!PcOXlH0z{!r^Zy*y2bQ(B}Mo>5X(r4GCxSE7VW*`z)L-hR=F^ zUK}7Ube`~{afanJ$7>@Q({{8BoxY;Wv906L-izW!##)rG1^2?#E-dLs+@vwCvs&QE zL^Ps3Sxm5#mRt#{{Wut|D(XJ=)GfKgeOJL$uYGrK$CNMlYd_@YdqWRp2a?yox+G#O zqY3#7y-6z01@=$PB468{*4Ic3p+J8-7|1CUO(ClUeeOW6^FZvG zKp1zWTb$x(XIHOpRC0&fEuQ5%#r(`vw2{B038<6mWxT7TtyE##*^?jLEOYDEkrq|w zqxw6BHmZpZD4GpQ`*DD7>@aFsY$Y=l4Ryej%Nl)61&m5%%}wX7>WL zi7g}tIwsY9)@@pSe9>St+AZ!g(lV@zpemEvHU$B!4)#y8*QqVoQJ+Bl!Y!^Q3T6O_z$$?o*4PazJQ_kSPD}ZQgMb9-snRpiU z?6LBJt9gYTm?rKSZAW-h3=qHV!r0qqQt#pr(A-brERc1J1cp{b3<4G=8o`oLY;#FF zKc3=$Aj_iT8k6swM2|7xBHd;}T;nEEbe7}6(q6n=@<8=C!;`+*->)JXRGrqAz9U`F zkF+O9u8^2_;U2T`coJXJF2kkUJnDn16If@EE!JaCAb!3j6>xYW!bnO^e2c=&4@ZHh zDMdAX-T&bd2#E=W+U_LWC9&VZh`9+hm||iN>S-C|5Nu!;I;F_9w{=uN zy(^~;vv%TuRpsEUOSnHu@~@S_?LD5yIQgEG-fB|; zUKH%`5BY8YaeJ-(cuXG486dw9*{-{ws(IhLDSGbKs2J2mWsdS0k|rL%lcVoABLl~o zwASoJ!hPQ@`geX?04T%R}yab7_`ag9@8BgX!`)@UcR;gmu0(_IRIJ zAf=pv%a&%WtdIs;a$2q|!RA-^55>?1(t^XOlwdgg#cj(UKk22P3j4m>rpWoo{Pim0 z0g)qFhuNy$W7(oJV@3*TvKkeS1wn$Nfr?~@^yjc?V4Yp)>DHw)?~rm?8~@$&1dMDeRBx)CwcWWEId`$E0R#a{WCyR ze&sT`!~$DDS=PUEc9u2qoqAJ@Lz=jn>_nL56s+!Z=CNO_C4+5qoXU3=Im(W7yHH&C ziOXnhSCQG}BUR@=#$jP)mUTVgETWr9?87JyJK?h1Uq^rK91@6)Dxlmha|?Bj&oBguuqwT@6A|MDg9vJ}obu&Tj_+v` za;X|VS%?Ly0QRG)4H6Dt%%#VFlL$QUM+qAXjf8W~!r`h-g6jJgnV;`FxrXgAG_@Lh zNyuh_Q0_yC2XlMz_vf3IPYgi2hgj20A0Neo zy`D-(#&ORy7i5&5b_#LOfK(!QHonf=SB{mrl%T`u?xYk-@)u`U4|S}_oMef~^I+#O zaKuDT4;!OEyn~!gTY&qCIy!-5gBG7MO=W+Sv$}5S-$yxU7o8KPcr?=t2?>Ct+RF%_ z*83L=B^}mA>RBUe{u$#qLHT1vAJ=i+b((kH-`J@&A|wxfmz47JSbBu{ZSbgnjR%Pt zwj&go)$#Q@3nYbC($lnSWt^Xn={+g4gKS>jr{D}Yg30x3E>>m?wJ=!!U33ps#)0uc z?k!%~+g*sw$#CM9mnGNAZ9hzxvTzM93Um{&azJ-BLq#`wUYV7o&MAIVr|iWE#yru& zm7t>;c6EC3?ak}Dzx`L`le!oJdRW9g?Hmc+!!B;xC%4Pr60k_@?spM&J+|S^za=1R zoN{fNH;tL!@~fa_aE_OO6?Oq1;iEFblxxQ?IfGQEn5pQ%2708CDrqP&Lx<(F{!<X+PqYT){8UZ7_q>o-!z8&`7F&ST zw>Jp#{;D}@|H>ZN);|pKX8w{s3nNbCnn1`PUakMkv|T$@XWjj2bj0B9Ze!Z;dHDO} z{YK~gZeLfid!(EIek2-icBBZ&m~@uR{zj?D4FL;|J2*=c{-9N{S=`ZvN2G<3&X%r`pUf$yiXs7NHd23b`MoY0-lA7>CzaSh=bh z|5NX(X0&Y~{M7LyB*&&gRv>{9I&W!8uoGJBa_#n1Mm|5f;MK2p8HDeqW9j+8zDeRI zg%JY)%kKG#P9ddc2zzzxn3`t9!;Pq9|GF0^=5 zm(yTrrzK(;T+LU8WNhlpb$!#UyFt1myku7&c z&ZW{YhH%e{UiFUv1>_i>G%Ej|lCEyWdHPE&3rAoMCI%m5lW|G#`)fMA#ga&9O6oot z68D+N5j5sKka{Mp_8RNW{^xiZMEZol#4`?@S58dR}9;NAou?sL3Sm-us@+A=1Ku{e~=t&JP_PL)X6c zuKcG|Rp61E&79(`S>0Dk#EKs@|Z(2 z_IBm|5y3QK1vQ&=F5;<7#-r1kLtmSUihmPAsTrgx|n33DMx^UQY@4LgPn zjpRzour%ta3;cZ1Abl4i{eLcR5Re{08aaS>zrlJ-8f_@alEty-v*ck3iQ~ zB9{m*Jt|8%{uP5aDyl^)O=ciNrkRR{{YXql37M%Oj_qO5RsU6Cl)FF8)xO z2M!C?f0P004F%rv)-SS?*GM(-8n;c4(1-AC%zy9!v2kHX;u>C;b;QHZ{k zEN_UOG7I(tuvR|Y=x_|pBzfR+s>r>Z%`e?=diH?205qQ2#y8#kK-}YzKD7e@Wiv)T z%V64UN76)fl?}@-Yrl!{nPHy@Ky1tWE5z?OTj`4mjPge|we5_=^u zO&xMmD>`%ZmA(}{e%^z-s)MkW%`-$jC^oS%JB4&ct?`Duu$+i8T?#RqO4*i~ux@g! zU-v<9T2|gnd~X`rJ^&g&OQPRpUgqlB5L{SUbiXR_FqK_&cXRoqtSUG%EBd71i5eP4 zM058ZOzVo>m^OFunTsG*f}%QJin`xu_;v7htO@tGeL6Qa3*;rv?S|1COOuF)*>5UX zAo)U*V)~@@N}%9HOSp($AdFK3Bv6F>&Cf27?d7jz#Uv1kF9iBXo z=TU;LR%R^E9{XSSU`O@f(@U)-B~%{ZlC2xS=36^t+l?Z0`JdR#=I^18J<{&jO+9ehTVy zJTn7u)wkR}BcA@sUATu|A3fr#tg)@ip{5EtW(VqU*%rQII0w8tK#3Z&ke_rFItO?y$ae&Ry}kLhN=D7+H6y^y$L zGd>&h4%E2q1&E_SU?*b)nw`0}HYWSg@;g8nB*_f7ig;WU0@X7f5XKuHA)81a%-UTk z3G=5gbu77e1ujP|kgc)*8S4yj+YMU)=j4@pDWIC)ktUXc@@-@5^eQU^ZryN3Hj!$N z-eh!)UYTi@k$!okhw!aeUmJ(s9RQz`@!oo5Fi7GH2p*I^!eFn(`@&Xh@!czpA!6}8|Ztas%5}0 z?~y^0_4MhFs1e>tukmr}yNKn5=m}(j=~370~KWA@YCQ!)8+e4fi};PJ=O;XQ~Cff?m+;;_9PbTp$o47VMArao~Aw= zN3{yp?hn6RSCQJL6{tM-KB6n9>`AeWp#-diHOObVpd|Db%Lyd0u#NbrS=z)|Zn!=k za$T|#s2CPo3ePv5CwK6Lsf%=Q2bL8?%Dg}mW^pejjL_(ZCI|zos=FyKCP>|*1CFPY zRUxIDV;np{AU|yvA}K6{9%4X_PvYsLbtB!w9||f*ramduQ4N3Ce-%b7hk|mE(xGFA z_%K|xwZ}U3eCiX(0tQ|IGIbW3uL;DB=unyqcgBF#A32iH>spKAM8!(~WsTZie0D+h z^ooz8Jx>M}?veouguMK^(!)qpSH2r_g51HEIw!y+UtxhXvw8vM}uyBv=`gYQ^n3gxxW0E$WuurDNC z_zFN3WjHTSXHn)8vh|n@%uA(KfcnA7%C1TR4O0bYSk~=^-N0IgJJ^)+pvYwT-k9SK zIv%0a46GqtZ;2Os@sX^oZKc&v*&Zb9Wq2*(L&|opG4mu@OtQaYx6Wc8@~sVo!3p#l z8Ink3Z*ehD7&=!GF9OuiJ^*Nb=MOIv78=d9Z{glEuw6)5 zpQz}p-9N80<@ho4X`QC+6l*+Y)G?QE!<6o)>27v~ z<$#}p(#6zMO$7gwufihCmM8{DjnSa(6asxN;O%7ScK#~~4430HKr3hE$wO+A#!kUpn&$oKnXOJ6hat(E(ut)4K{6I>Vf0HlfNSo}1D~``yWfEFdWQ1^ zYH9BpF}#ln$ADfRG>~V%U%NEgr0YQ+B^nW08pa9q-yR3tdfX^qe72OhP7{DNbn8AV zUeSB&VVfah3KVN1tPcR58tm!@Y$HNIA-z%$^W zEyM-4dBZ;l)c9!kWRAUYprf84n!IBfd&F0kJ!Yxpx9s1LT)OY^?0O_QyzaUaqO-$| zDpRp*<%nP~3m<%4G=gjjA!>jeGWqzdPZ>Je8G0-piGW?xyAP5|eIWO+VLv*8T>>r0 zAdlFHh3scy_zE9&se;9vB=XIA{T4umqsdqRN*xIaxAGB3M7!J zZ4BUf@e%1@5evwfb?}L1)_92xn$O{5^snv4;BXreeel5$fFwc39PL+wId?S~&QXAz z4Xf%Y_1PC!*%3oLrGN|NM>3E+zlC4_@jJm0zbtygaW|e*mEH@mlCM2Hrd#r8 zSr=>brE?`sWGb}x6MF$rss>b^Dm|T!2mVDOD(%7~3KMMIbBWT;-%6anfjm&+i5866 zD}Qzgz%)^bfCVv{$HyZ6grx+9tpPEHLMAl}8!tS`y+g&kE-L+J`Sp_z#nUb#HICr= zYJknqRjn#@!^}+}WFax5sa{bID5uE5apFUh7bmD!OJ7Fv)m4`v#01^{#VF5N38k1;1s z?9_$_6h55|QAMV0{zHmtmReFB+!} zK#*v*M)~77xay)(%D{Jl-$Mp5s*1nAu3IZ+!NKXK7_(m2Mx!iv2^B0IoT-O-nzt)} zxPxk3-&?P$``vHB3B7IJy$MjuLG;wT4#Wp1niZ0m%+L~gmOw;x&oX!(`t-1_)(Go< z6}}_%_1Ws=Bq%!-n`4S4oY>$M6!{6na4&845z}jKY%ONB^8GXQU7`nDT%h%l*LD9b zG9bJn-n>DC-1-S!8mCy$)vI7*QdDg{scP72hG}O!UfOlx=EVFqhs6-EsLjGv!zNcs zP$rsp(K){efWxU*#b%E%?joxl_nv!!+}${UhsoYM_xTdEk3X|g%{EEXu@^2Her7fP zw%7nytzGIlMoR`Xs6JW25io@qf=zW!{TUend-)JW1P;F?YCXar9gET;0bgJeiz+KQV-2j(KMF%>E1XCNBK7(2E zzDcvtwQEjSYEfTg+SEM=Ydws&<9lJHibi=J2ND_bv&~TyAb*HP$YkYh40OZ$yF}A? zluYYRvwWM}_zvr;^=+3^Dg(Z4;VNeN0jN#dTiE=F-t4S<`1|VOgq?ce6PH#OBc?7O zDmXQ=Cf04*XU`ZmwGo)&hcLZ%yjX+hPM(1lNDK+PqbQ=@@jvFUOa#PWv<_U%TIQpF|dJxSh&q42J5IJasN= z)EkQ@`Z~xY1B>aONXj3x24MPS^hKSm@mm8*`6PU_W(f2zNNUv9uSQ1aVO)_67kd4> zjXnun2IeqUlADjKSM1)2PTx6^w!mdRS>)hdpVb-PeTW3>3p!5(6ned=1#U^KjZa_n zK)f<}UY_21;4l-~NG@a$Y64;qyQbFSo|QRYh5KMh)S^IO;4qXDiwO)An6#Lt;rtSA z17vN!iwy>2*^#xVF`Q+7bcqd@Wpd3m_%G<|9*-DYW9W(5Mv|2Ioj zBxrZNFEJfHfxJJO^n7%7y^_=djM^GYDrcSlmfOcl=*}?s@gth=i8UdNg;f*TvcXvZ zt2g}%RM5>NSs`>|<^t3L7XGU7@0N28-^ZYrryT7^)dTawFWof-X^{1}Fspkls;tF6 zwSk+eWz7V%nN;B`5YmxReeaw6XpJ=UK*CbFj`(jeR*}?plnC@^ErqV3`1WM)-fke_ zwO9$gLEXaH*vf6G3qI`?0>IVKAKasO-%qK?o^Mn@ zgA3x!cQO3?gMOqp4Fm-xce+#vNfV!gTq4iyR*o#vi-7h{BV5&uXngW>-=h?;j7l>e z{svun_;!!N*}#iXp`j`GgP9%%n#_+0$`i#v$H&z-7u(-TO7~Yn@t*H~@VU5E@3qsH zFZrUlZSQ+C3!O^kz9hAPYSor_Mm_j)4iYBnDPopKl1)ebG@ccX@P3>2F)AxO!YMdK z-W1L5a^iq@vEh#p!^1cVd~9T)giTRmFVDgF-34mDl&Kn`BGaZ5Cdv=DXd)HTKdW#` z-6LU#E~{mL{u)W>xK+vm^Huj1P%eD-)GOBNPtO_9R`&>-xgWDfA|7_l8*^}Bvpi=7 z84O*jJ&4;tXbAAooGn=AnrF0D^RG&A)C~FZ$Q)s=OSXY&ORMq_9LPk+U}GLHdna;Y1Noj$mtzV$?|5TaY(4sn3VoM@mF?2l_JpRIyGY`O=%HW}Am1Ol#6``pi8C9~re9sD(FDTzOkJ{#vdHhBT zZoj)v!{(>gs!>TcWDRgY4dihcSz#+9hEU4MQ#NcPAV#Q0_ zo1}>cIz%Jy+&lz^@BF-{pemFWlg#wwYi{7X8Ua96^!D$bm{AgbHm%O{-n1bk*7n8J zf!+cq(eQw75u+Su(ZuI8E$Ui&cex@<*aI~M`SeHo z3r@8iEMl_-%A^9f7+e7#;vOGTWETw@s@DH3Ek(dpS%cZ1lo%pZ$ISp34uD}PY7ai< z49lX;b^w9Z-H$ro%i3MJT~aX)gk9yA-Kpa9&E+IDbbOZgws?YHNVt;`h4bamyaZB| zJ4bi>mDKHDY(IM<5{HCspS4MKEn5s3S20qy@Uhj{J-UY;Sj;f*}`N zVF55)#Idq4=Ty=ANg{efKwgUORoSq(+>bE!_C|6MVJND>@ylY}$I)i~lZitr#hr*c zQqw7`gBo!rB`ES^eXy6J>Nz}!4#SJuqy9;x^9JGy+{Eb7Ty6G-C zS9%DD4f2qh=b$waJ z-lAyxKD~7RV(V^WpVDM*oCyWe^v^1{E2fdOSXAEpNjfdh zcCzAzBw3uyD4EblkkYzZ@I%kZ_ zRUgBy2vHtnWIUhJuaD9)TFT;7h4A`&@X>*A*`g~{5(=nUc?0kFPsi@fC_=@WOvP^1 zl{%}<{?L>i!3-PwFE%>}n_R^zK$XX!JX)R!D$fc7^Ry@lDQ^-c(oj8gH8e$3`plg5 zjJ*~(9KXwhXtEr8CY_|QBX@(asp77qcDl^Zys>?O8)J!LzCDWeEjGd3+|X1o~^87HVnqYzyW$Aek$gMIZltTDcC3&hzwWVEUjwdD|tPv;qw5I9QxcaJt!Shk$ zAAy|xY}DpN(Qtz8U_lU6zFx^?-yoepmHs7}e75>*XPZjjj6j_8DSg~m_~5yRZOl)FNY*?Ahh zz{U%>m@XHSjOcV(t0In>FfY#ymcmg{zYH_Nk5Y~a^e*5C$mzHeU|ZnV#mm^})l0?+ zJ8G2o)7X4DJL@=4KWev+{E}!s_F zIY9f)%!bi;jAK?M?Nio-WN{748eTV-3e;VEwUXb;}E`YFWZ&p zY!#5>WqdnAhN9(R@U@hzBsBLf{8vmOeug>H0B>*6^QIJ{`p0M z|5E4)slvUS8e#oMCUzCZM~o2_sFj|Mf=Z>Z_@tYCnX%jkCFCCLH{_{#>P5{NrobGY zQw2tm4p}>|+BkxR28lechSk_zv&+5=7HvZC(rOmT?$MZ+R>1w?Y#Ji^UY>+8goNu? zA3+{GhF<(hubFoTAHA40GvSgTr{<~l{%#sQ3pQC%tjTp$_WPPi+PY_T8seVDpOB{d zixZ*YqU>&+v#yR5=d*!6iOE&|Q|BipQzA3ZG<23lgeG$1RHZD((_;{$Z-}~&8A3@i zn*K8l4n5CxI_1}N@r|Je;wlmt6_oVY` zl;r`dPM5T{37G;9ycf2@wlrgZY-(Ej{j)3>F;#Jcmv^@!DwFf18~f}kei9#klC!9r z$FmQ08uO#Qpxccz^mLO6>P!}4bR=B!ua>Zm<_{K=)&s#qC}hf{oVPn}T9@7ui!fjB)eZ&!+A@VE(k>$zQC>a}b| zPb}?3CoWEXO(rNf{}ol2y!=!X|FdfcX(q23R+%+E$`2TdSXOqu&zo~U;+oax=f7(w&=ArJ|#j&Zt76Th^dXYg*P_4VPYb;%7Y zC)R{&%)W^yr3(?g<-KS6R?KU7zqc>#bf>CC`ghS&spq5EdA2X2D677?JW@IQpq^hs zyCxDXGmyET8UvUg+4-68RP;pGSu=!g2IXea_tXF~3BytBEr^P;-gIrY;u- zj#@vIUG;*3eG<2nU7d$ldwRAnn)YVw{*Fk?)#o|=ZTssrb&#R_)Jpjp;l{?i$2ar5 z(91zaq8qYo`Bc)MVh#Tdw>d(GIDc+$UdQY*6X<+>#iTjR66{K`rBfpB)Fjmsb*=JY zP=Zp2FI;8d*Xdt##=o7?^^HkOcA2#&*BC2@&WR0&R)_o==&s@s`ZtJt>oJ3qE9uU; zvV4Da%`xOMo#+SQIadSMrz>b5-hM`c=yD!mavcvB{?r7?2A>q!8(^H&#T%&U4fvVu zfAsjzl@>id!}+?lr}M4;(#g+E7HgmW3iq?o2twf#eiMN1ZFc*JPd$zqG0*)6lB#I_ zpx@z>EG9_!LJ)0{@_!Y-v|DA$THX)6?r6V~`qlO4DDJPlUI-4zG3%y$_iAFpKd*)f zmA$Fr0j2aZ( zmjdkXsBp#^_n<3MtAY2rlo|432-&wBM!^dKJuv@Js4dq?QXw zO+R=3deP(>5ksqGODEj=>ng5l2>r!*n{sYXI8SUQ*L}x{K5}c3l*pB7rw_*{%!xq) zQ=X!1^Tc$N5DzH`O{Brl|$Ev zjY(qC!ubxs)JO8!>vxruFdDur3G{>YN^J66J{ZA*LvBwh(b`kG$R(4L?TWc6k*F!B za`$@jq5Y(@wuZAF2{u>N0Z&wUa_{2BjoU~NhT3qB(3lgS^O?0^-4fj z*v3B-K`2tgb|k0nFsfrq{z(2-=-cU1TH%{$#C`IlcC&+;6HE-yKe{Q8oc9z&>24LR`d1*VB^6#K*ph?Kz z4<>G5q6t}inUwnB18SFV`&o?nLh*S5MVDW zr$UdV9eUCHKCbtlXwCf++=W|~{tJSn zfW;2j@p(Wn|D6OoIytKnqgTXNlb*t9cvw~g&(lulcSTJgHQ|ZQPV3!iMW)qs`YsYo z_Lzmeg+6?_{S!r)U(5vjPwo*~xH4dW7nuxOq{ZBWr<*k4tyzenn3L*)gm$ z2ctcB7=L4&-FF~`$X~F1xQ5{Y@K|JgE#|Ik$wZ`w$lPidV^qx+?Y}$t;5HbMkr0>e zZYfV4+7Bsl5QI8f{Oe-)fo=hM>GnYolh6c{^(pJxOZ!m`a_03vDshnh=tGGfU7(c_Uf2;^&|ksT#soH5AJO>r3wP@X zgR9!OKX%O$XTFex_H$09WUJXSYpn0r1kS6%qe&biDQ`w5VEt9B$R^x!YKgGBQNI{` zZp^GnTaj!+{cnlGKwMn(I%3KJgR92meNDbP(H}7*7zTw_`efWt}u-KrtRw z7{QI`Rf;5E>b;`z)hD%H=G?WC;2SSks*0KlNICQ1{{z&9!i4|; literal 0 HcmV?d00001 diff --git a/Graphes/cours.ipynb b/Graphes/cours.ipynb deleted file mode 100644 index d277e23..0000000 --- a/Graphes/cours.ipynb +++ /dev/null @@ -1 +0,0 @@ -{"cells":[{"metadata":{"hide_input":true,"hide_output":true,"init_cell":true,"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"# Permet de tout executer au lancement du notebook + conserver le notebook actif pendant 2h\nfrom IPython.display import Javascript\nfrom masquer import *\nJavascript(\"\"\"\nfunction repeter(){\nIPython.notebook.kernel.execute(\"a=1\");\n}\n// execute a = 1 en python toutes les 8 minutes pendant 2h\nlet timerId = setInterval(() => repeter(), 4800);\nsetTimeout(() => { clearInterval(timerId); alert('fin de cession'); }, 7200000);\n\n// Supprimer la taille limite pour la sortie d'une cellule\nIPython.OutputArea.prototype._should_scroll = function(lines) {\n return false;\n};\nIPython.notebook.kernel.execute(\"url = '\" + window.location + \"'\");\n\n// Exécuter toutes les cellule du notebook\n require(\n ['base/js/namespace', 'jquery'], \n function(jupyter, $) {\n \n \n jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n jupyter.actions.call('jupyter-notebook:save-notebook');\n Jupyter.actions.call('jupyter-notebook:hide-header')\n\n }\n );\"\"\")","execution_count":17,"outputs":[{"output_type":"execute_result","execution_count":17,"data":{"text/plain":"","application/javascript":"\nfunction repeter(){\nIPython.notebook.kernel.execute(\"a=1\");\n}\n// execute a = 1 en python toutes les 8 minutes pendant 2h\nlet timerId = setInterval(() => repeter(), 4800);\nsetTimeout(() => { clearInterval(timerId); alert('fin de cession'); }, 7200000);\n\n// Supprimer la taille limite pour la sortie d'une cellule\nIPython.OutputArea.prototype._should_scroll = function(lines) {\n return false;\n};\nIPython.notebook.kernel.execute(\"url = '\" + window.location + \"'\");\n\n// Exécuter toutes les cellule du notebook\n require(\n ['base/js/namespace', 'jquery'], \n function(jupyter, $) {\n \n \n jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n jupyter.actions.call('jupyter-notebook:save-notebook');\n Jupyter.actions.call('jupyter-notebook:hide-header')\n\n }\n );"},"metadata":{}}]},{"metadata":{"hide_input":true,"hide_output":true,"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"# from IPython.core.interactiveshell import InteractiveShell\n# InteractiveShell.ast_node_interactivity = \"all\"\nHTML(\"\"\"\"\"\")","execution_count":3,"outputs":[{"output_type":"execute_result","execution_count":3,"data":{"text/plain":"","text/html":""},"metadata":{}}]},{"metadata":{"run_control":{"marked":false}},"cell_type":"markdown","source":"# CHAPITRE 10 - Les grapĥes"},{"metadata":{},"cell_type":"markdown","source":"Ce cours est une version \"jupyter notebook\" du [cours proposé par Stéphan Van Zuijlen](http://isn-icn-ljm.pagesperso-orange.fr/NSI-TLE/co/section_chapitre3.html)"},{"metadata":{},"cell_type":"markdown","source":"## Introduction"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"from IPython.display import YouTubeVideo\nYouTubeVideo(\"YYv2R1cCTa0\",width=\"640px\", height=\"480px\")","execution_count":4,"outputs":[{"output_type":"execute_result","execution_count":4,"data":{"text/plain":"","text/html":"\n \n ","image/jpeg":"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\n"},"metadata":{}}]},{"metadata":{"run_control":{"marked":false}},"cell_type":"markdown","source":"### Qu’est-qu’un graphe? \nImaginez un réseau social ayant 6 abonnés (A, B, C, D, E et F) où : \n* A est ami avec B, C et D\n* B est ami avec A et D\n* C est ami avec A, E et D\n* D est ami avec tous les autres abonnés\n* E est ami avec C, D et F\n* F est ami avec E et D \n \nOn peut représenter ce réseau social par un schéma où :\n* Chaque abonné est représenté par un cercle avec son nom.\n* Chaque relation \"X est ami avec Y\" par un segment de droite reliant X et Y (\"X est amiavec Y\" et \"Y est ami avec X\" étant représenté par le même segment de droite).\n\nVoici ce que cela donne avec le réseau social décrit ci-dessus : "},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"import matplotlib.pyplot as plt\nimport networkx as nx\nimport numpy as np\nimport pydot\nfrom networkx.drawing.nx_pydot import graphviz_layout\nfrom networkx.drawing.nx_agraph import to_agraph \nimport matplotlib.image as mpimg\n%matplotlib notebook","execution_count":5,"outputs":[]},{"metadata":{"run_control":{"marked":false},"hide_input":true,"cell_style":"split","scrolled":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph()\nG.add_node(\"A\",pos=\"0,40!\")\nG.add_node(\"B\",pos=\"20,40!\")\nG.add_node(\"C\",pos=\"0,20!\")\nG.add_node(\"D\",pos=\"20,20!\")\nG.add_node(\"E\",pos=\"0,0!\")\nG.add_node(\"F\",pos=\"20,0!\")\nG.add_edge(\"A\",\"B\")\nG.add_edge(\"A\",\"C\")\nG.add_edge(\"A\",\"D\")\nG.add_edge(\"B\",\"D\")\nG.add_edge(\"C\",\"D\")\nG.add_edge(\"C\",\"E\")\nG.add_edge(\"D\",\"E\")\nG.add_edge(\"D\",\"F\")\nG.add_edge(\"E\",\"F\")\n\n\n\npos = graphviz_layout(G,root=\"A\")\n\nplt.figure(\"Graphe intro\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":6,"outputs":[{"output_type":"display_data","data":{"text/plain":"

","image/png":"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\n"},"metadata":{}}]},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"Ce genre de figure s’appelle un graphe. Les graphes sont des objets mathématiquestrès utilisés, notamment en informatique.Les cercles sont appelés des sommets et lessegments de droites des arêtes."},{"metadata":{},"cell_type":"markdown","source":"## Définitions et terminologie "},{"metadata":{},"cell_type":"markdown","source":"On appelle **graphe** un ensemble de points appelés **sommets** associés à un ensemble de lignes appelées **arrêtes** qui relient certains sommets entre eux."},{"metadata":{},"cell_type":"markdown","source":"**Ordre d’un graphe :** \nL’ordre d’un graphe est le nombre de sommets du graphe. \n \n**Adjacents (ou voisins)** \nDeux sommets sont dits adjacents s’ils sont reliés entre eux par une arête. \n \n**Degré d’un sommet** \nLe degré d’un sommet est le nombre d’arêtes issues de ce sommet. \n \n**Sommet isolé** \nUn sommet qui n’est adjacent à aucun autre sommet du graphe est dit isolé. \n \n**Graphe complet** \nUn graphe est dit complet si deux sommets quelconques distincts sont toujours adjacents. Autrement dit, tous les sommets sont reliés deux à deux par une arête. \n \n \n**Exemples:**"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"cell_style":"split","trusted":true},"cell_type":"code","source":"G = nx.DiGraph()\nG.add_node(\"A\",pos=\"0,40!\")\nG.add_node(\"B\",pos=\"20,40!\")\nG.add_node(\"C\",pos=\"40,20!\")\nG.add_node(\"D\",pos=\"20,00!\")\nG.add_node(\"E\",pos=\"0,0!\")\nG.add_edge(\"A\",\"B\")\nG.add_edge(\"A\",\"D\")\nG.add_edge(\"A\",\"E\")\nG.add_edge(\"B\",\"D\")\nG.add_edge(\"B\",\"E\")\n\npos = graphviz_layout(G,root=\"A\")\n\nplt.figure(\"Graphe non connexe\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":7,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"Le graphe de gauche est d’ordre 5 car il possède 5 sommets. \nLes sommets A et B sont adjacents. \nLes sommets D et E ne sont pas adjacents. \nLe sommet C est isolé."},{"metadata":{},"cell_type":"markdown","source":"
"},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"Le graphe de droite est complet d’ordre 3. \nChaque sommet est de degré 2. "},{"metadata":{"run_control":{"marked":false},"hide_input":true,"cell_style":"split","trusted":true},"cell_type":"code","source":"G = nx.DiGraph()\nG.add_node(\"A\",pos=\"0,40!\")\nG.add_node(\"B\",pos=\"40,40!\")\nG.add_node(\"C\",pos=\"20,0!\")\nG.add_edge(\"A\",\"B\")\nG.add_edge(\"A\",\"C\")\nG.add_edge(\"B\",\"C\")\n\n\npos = graphviz_layout(G,root=\"A\")\n\nplt.figure(\"Graphe complet\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":8,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"
"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"cell_style":"split","scrolled":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph()\nG.add_node(\"A\",pos=\"0,40!\")\nG.add_node(\"B\",pos=\"40,40!\")\nG.add_node(\"C\",pos=\"20,0!\")\nG.add_node(\"D\",pos=\"20,30!\")\nG.add_edge(\"A\",\"B\")\nG.add_edge(\"A\",\"C\")\nG.add_edge(\"A\",\"D\")\nG.add_edge(\"B\",\"C\")\nG.add_edge(\"B\",\"D\")\nG.add_edge(\"C\",\"D\")\n\n\npos = graphviz_layout(G,root=\"A\")\n\nplt.figure(\"Graphe complet\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":9,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"iVBORw0KGgoAAAANSUhEUgAAAV0AAADnCAYAAAC9roUQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAg5UlEQVR4nO3dd5hddbX/8ffKBJLQAiR0aYKgIFwLVUISOkmQkoRqIEozFGlBMMAPFbmA/igWnghcFUKJBBJIQomIIBggVK+CihUpIiIdISFAZt0/1gx7wtRTv3uf83k9z3nmycyZvddkzlmz9resbe6OiIjUR7/UAYiINBMlXRGROlLSFRGpIyVdEZE6UtIVEakjJV0RkTrqX82DGawOTAS2BFYGXgceB65yeKma5xIRqbZ65DCrxjpdg62BKcAowIFBHb68KJ7CPOB8h0cqPqGISBXVM4dVnHQNJgEXAQPpebiiFXgHmOxwWUUnFRGpknrnsIqSbodglyvh2xaixCsiOZAih5WddNvK8XsoLdh2C4ERDo+WdXIRkQqlymGVrF6YQpTjnY0cCausAosXd/e9A9u+X0Qklc45bIMNYNAgWGGFyGFjxsBzz3X1vWXnsLKSbtsM36guv//pp2H+fDCDuXN7Ou9og9XKOb+ISCV6zGG33AJvvQUvvABrrAFf+UpXhyg7h5Vb6U4kZvg6u/pq2G47+OIXYdq0no7hbccREam37nNYu4EDYfx4+MMfuntGWTms3HW6W7L0korM1VfDKafAtttG8n3xxfhr0dmgtuOIiNRb9zms3cKFMGNG5LGulZfD3L3kB+63dPmF+fOd/v2dl16Kf2+6qXPxxd0eaK85c+Joeuihhx51fOw1d27XeWn99Z3ll3cGD45cttZazuOP95QQ55aaP8utdF/v8rPTpsHuu8PQofHvQw6Jz518cpdPv3Xvva/B/bAyYxARKcutcA0wocsvzp4Nu+4KS5bAnDkwYkQMMay5ZlfPfr3Uc5c7pvs4sUsjs2gR3HAD3HtvBLfmmnDJJfDb38bjQ5ZdvHjJnvPmgdkKZcYgIlIas2Uw223S1KkbD1i0yHt8bksLjB0bH++7r6tnLCJyYUnKTbrTiG1xmdmzI7g//AF+85t4PPkk7LhjjPN+yJKWltYrjj56HeB5zGZjNgGzlcuMR0Ska2YDMNsLsyuBF4BvHTd16h3vDhjwbo/f5x6V7muvwSc+0eWRiVxYmnLGdNvGdW/CfckHn9hjD+eUUzo/ccYMZ401nPfe6/j5JbjPcnccVnE4zGGOwxsOtzsc4TC03Nj00EOPJn/Acg5jHaY7vObwK4cTHdZtfw4fzmHuMaY7cGCM666wgrP55s6113Z1kiyHlfjI1440sxWB0cA4YA/i67OAm3F/oaxARaQ5mK0EjCHyx27Aw0T+mI37vzo9PdGOtPr3XnBfiFnv+5bNliMS7zjiP/J3xH/gTbg/W27MItJAzFYF9ibyxAhgPjATmIv7K719e7/W1knLvvvupYsHDmwp4awV9V6oqIl520kntwXR2vOTvXXZxYvfn3LeeU+42eW9H9wX4n4z7hOANYHzgS2AX2P2MGanY7ZxJfGLSAGZrY7Z0ZjdAfydSLrXA+viPgb3K/uScAFaW1oGfvPss5/HvfccFl+vuGFXtfrpbkXsQx4N3faivH3Dp566+KmNNvohMBX38oI260/8RRsP7Ae8SPxlm4V7t1tHRKTAzNYBxhIV7aeI3razgHm4v13mMXcAbgK2M/ch9CGHEf10K2rUVZWk+8HBYh/yRDp3XZ/m7V3XzT4G3A+Mxr2yLmNmLcDniF/EOOAt4hcxC/gN1fzhRKS+zDYke29vAtxKvLd/jvs7FR57deAxYBLut33w6b7ksApVNen2/aw2lhgL3qqvlwF9OKYRA+PjiV8SxF+xmcAjuPd26SAiqZltSpZo1wVmE4n2l7j3vMSr7+doAX4OLMD9rKocs5TTJysGzS4ENgP2qnpCjAT8X2S/vBWJBDwLuB/3JVU9n4iUJ96rnyQrllYhe6/eh/v7NTjnfwPbAnukyAUpk+4ywN3AHbifW+NzfYL4hY4nJuVmE7/Ue3B/r6bnFpGlRaL9LFlRtCzZsOCDNb0qNdsL+CHwWdz/XbPz9BRC0mFPs7WJQenDcP9Fnc65EdkveyNgLvHL/gXu3XZdF5EKmPUDtifed2OBxWSJ9td1mX+JMeIHgf1wf6Dm5+sujORzTWYjgZ8CW+P+jzqfe12yGdEtiNnJWcDP2paQiEi5YqXRcOL9tR/wCvH+mgn8vq4T3WYDiQn8a3D/bt3O21UoyZMugNnXiLV2I6s2WF56DGsSL4xxxITcncQL5Dbc30wSk0jRmC0L7Ey8j/YBnqW9onX/c8K4LifGiw9MvaopL0m3HzHO+hTuJ6UNBjAbSrbLZRhwL/HCmYv7aylDE8kds0HA7sT7ZS/gSbLdo08njCyYHQacSVxNJy+g8pF0AcxWIcZ3p+B+Q+pwPmA2mHghjQN2IcaE2vdzJxmIF0kuWrKOIt4XewL/S9Yn5fmUoS3FbAtiwn4n3H+XOhzIU9IFMPs0cAcwHPc/pg6nk6K80ERqIQqQzxOv/52BBcTrf04uC5CI9xHgHNyvTR1Ou3wlXQCzI4GTgW1xfyt1ON2KgfmOl1R/Ihu7ejphZCLVYzaEGJsdTwy13UNMhN2S66G2WJY2E/g37sekDqejPCZdA35CrN2bkHrQu09i8mAn4oW5D/AcWT+IdJMHIuXoPKn8c7JJ5f+kDK3PzCYDBwHD8rYUNH9JF9rbOi4ALsd9aupwShLLZHYkW4/YvkxmFvC7QvwRkeZjth7Z8slPArcRr9k7Crd80mxHoujZBvdnUofzYflMukBb28YHiG3CD6cOpyyxKmM7ss0Y75Il4MeUgCWpRtwoFFX6o8BRuM9LHU5X8pt0Acz2Bb5LbNmrTmOcVFJufRRpZ7YZ2WtwTeBm4jV4b+G3xMdV5p3AfNzPTh1Od/KddAHMvkPsFhvTMIkpa/LR/uJflezFP78mTT6kOWXNn9obyqxAozZ/MjufKGxG5fnnKkLS7Q/cBdyF+zmpw6mJzu3s5hBjUtVrZyfNIxLtNmSvKciuqhqzzanZ3sClxFVxVfre1kr+ky6A2VrEOM2XcP956nBqKppytE9obEo1GzdL44oesTuQTeD+hyzR/rah5w/MPkpsWtoH9wWpw+lNMZIugNkI4j5I2+D+XOpw6iJuUbIfcWn4KeBnxJvo9rJvUSKNI9qjjiBrKPMvsrXizXHrqlgv/wBwFe7fTx1OXxQn6QKYnUb8FR/edJfdcXuRfYk32HbEkMss4Fbc30gYmdST2QBgV+J1sDfwN7I+B39NGVoSZv8DrAQcVJRqvmhJ14gJp2dxPyF1OMnEbafbt2OOAO4j245Z7FUe0lmsW9+DuOIZDfyOLNE+mzK0pMy+CJxOXP0WY9MGRUu6AGYrE+O7Z+F+feJo0jNbCRhDJODdiL3mM4mGPP9KGZpUwGxFst/r7sTvtb3Ph36vZv8F/IJoB/v71OGUonhJF8DsU8R6vOG4P5k4mvyIimhP4o06GniCrCJqjnHwIotOe+0tRUcSVzAziZaiLyeMLF+i8HoE+Dru0xNHU7JiJl0As8OBU4lLi/w2xkml+7G/Wbj/LWVo0oHZamRj9dsTbQjbx+pfTxdYTsUQ403A87gfnzqcchQ36QKY/RhYDjikKIPoScQs90jijb0v8AJZAtaVQr3FvQHblwV+mmxVyjwVEL0w+yoxtj28qFuVi550BxHLRX6M+6WpwymEZl7PmZLZBmSbFT7O0uuvFyWMrDjMhgM3EFe3hZ1ALHbShfaF0QuIhdEPpg6nUKIhz9ZkW0RbWXrnUsFfHImZbUKWaNcjdhrOAu5uuiWPlco2SB2O+x2pw6lE8ZMutG8B/AGxBVATDuWIsbJPkSWJ5cn26D+Q573suRH/h5uT/REbQvZ/qJ4a5cpaAfwS928kjqZijZF0AcwuIMbHRitBVEF0o2pPHqsTNw6dBdyj5NFBJNrPkP2xGkh2tbCgIfsc1JvZt4mCoCHe242UdNvbut3bCH8NcyV6G7cnlQ3J+q7eVdTJjIos3Sd5LPAe6pNcG2b7AN+nga5iGyfpQscGxkfi/rPU4TSk7u8w8LOGnhCKCciOdwR5jfi5Z6I7gtRGNFlfAHwe94dSh1MtjZV0of1WHTdS8BnOQojJjfZ7aW1F3Mm5vSFPYbZldiuW2u1M/Hz7AP8gW2r3p5ShNbxYmbQA+FGjrUxqvKQLYHYqsD8FXstXOGZDicQ0jliSdg+RoKp611iL8eWJwJbAysDrwOPAVQ6V91Ht/i7PN+H+94qPL33TwGvwGzXpGvFG+WdRd60UWmzTbG/IszOxlnoW0Q+irMRosbRtCjAKcGBQhy8viqcwDzjfY4toKfEu33bccW0ff0PW5+Af5cQrFWjw3aaNmXQBzAYT47uF3J/dMMxWIPpAjCM6Zf2aLKH9s0+HgEnARcTKgH49PLUVeAeY7HBZL3ENJirZccAuRBPs9j8M/+5LXFIDZp8mbvnesH1VGjfpQqE7ETWkGKfreOn+JNkYaZe3yu6QcJcr4UwL6Srxmg0h+lCMJybF7iUmwm7B/dWSfhapvrhCegw4s5E7CDZ20oX2nptfA7ZuiMmdRmG2LFFhtk9SPU2WgP8CHwwp3EN7wt1gA3jxRejfH1paYLPN4LDD4OijoV+nAnghMMLN/kHWUGYbYlnhLOA23N+s5Y8oJYhleDcDzzR6r+zGT7pQyO7yTSXWWA8nu+3My8CsIS+9tOOrQ4bs1PaGjKT7ox/BrrvCG2/AvffCiSfCyJFw5ZVLH7O11Xe5++5XfrHbbv2B28mWtS2s288lfWd2OvHHcUTDb5F298Z/wECHxxxOSB6LHr39rvo57PDnjTe+bMCiRa1LfXH99Z0771z6Gx56yDFznnii08H6vf/+uzvMn79O8p9Jj95+5yMd/uWwbvJY6vDoaVKiccRddMcDZ2K2fepwpAfurbjfv8lf/vK3xQMG9H734222gY98BObP7/Sl1paW9+8fNuzgWoQpVRJrvacDh9IkjfabI+kCxBrLI4AZbY2jJd+2bJt4693aa8OrXc6DDSLW80oexeaTGcBluN+ZOpx6aZ6kC+B+K3AtML1tW6fk18p9fubzz8Oqq1Z+HKm384C3gXNTB1JPzZV0w9lAC/D11IFIj17v07MeeSSS7rBhlR1H6stsP2LX6ASarBNb8yXdaEt4MHA4ZqNShyPdepzYada1N9+EW2+Fgw6CCRNgiy26etaituNInph9DLgcOAD3V1KHU2/NsWSsK2bDiIXx29LNwnxJp63HwjPELrTQcZ1uv36xTnfCBJg0KdbtdvYOsF5VejJIdcQdqxcAl+M+NXU4KTRv0gUwO4Woeoehxji5Y3HXhX0o74qsFZjtsfZX8iB6olwJLEMMKzRl8mn2pGtEG8iXcD8mdTiytE470koTO9Ki/4bkgdlRwElEI5u3E0eTTPON6XYUf3EOB3bBbELqcGRpbd3CJhMJtBTtvReUcPPC7DPEaoVxzZxwodkr3XZmWwB3Azvh/rvU4cjSatJlTOrHbBWikc3puN+YOpzUlHTbmR0GnEk0xlEjlJyxuDPFFKJNZHf9dG8n+umqws2L6JsxB/gb7icljiYXlHQ7MruMuG32Ac06yJ93BqvRdueIvebOPfTWvfe+hlgWNk2rFHLIbArR0H4kjd7Ipo+UdDuKW7XcB1yL+3cTRyO9MXPcLXUY0g2znYi+ClujO3B8QEn3w8w2AB4CxuJ+f+JopCdKuvlltg4xEXoY7r9IHU6eNPfqha64P02saLges9UTRyNSPFkjm6lKuJ2p0u2O2bnAdsAeuC9JHY50QZVuPpldBHwc+Hyz9VXoC1W63WtviPPNpFGIFInZOGAs0R9XCbcLqnR7EsMLjwGTcL8tdTjyIap088VsE2IiejTuWrbXDVW6PYlbcR8I/ASzDVOHI5JbZssT96E7Wwm3Z6p0+8LsJOBQYIe2W/9IHqjSzYfoYTKt7V8Ttca9Z0q6fREvqhnAa7h/OXU40kZJNx/MvgwcT7RJ1d2We6Gk21dmKxHrDv8b96tThyMo6eaB2VbAPOIq8M+pwykCJd1SmH0S+CWwM+5PpA6n6SnppmW2KjHR/FXcZ6YOpyg0kVaK6EB2EjALs8GJoxFJJxrZXAPcrIRbGlW65TCbCqwBjNekQUKqdNMxOxMYRbRDfS91OEWiSrc8JwPrtn0UaS5muwDHAQcq4ZZOlW65zNYnGuOMx/2+1OE0JVW69ReNbB4FvoD73anDKSJVuuWKOwh/iWiMs0bqcERqLhrZ3AD8QAm3fKp0K2V2DjAM2B3391OH01RU6daX2SXAxsA+6qtQPlW6lfsm8D5wTupARGrGbH9gH6I/rhJuBVTpVoPZasR6xeNwvyV1OE1DlW59mG1KNLLZE/fHUodTdKp0q8H9JaIxzo8x+2jqcESqJmtkc4YSbnWo0q0msxOALwKfU2OcOlClW1vRc+QaYvjsS1qTXh1KutUUL9LrgTdxPyp1OA1PSbe2zI4BJgHbq5FN9SjpVpvZisDDwLdxvypxNI1NSbd2zLYGbiMa2fwldTiNREm3Fsw2B+4BdsX9t4mjaVxKurVhNoSYGD4F95tSh9NoNJFWC+6/B04EZqoxjhRK1shmphJubajSrSWzS4F1gLGahKgBVbrVZ/b/gN2J9qXqq1ADqnRrazKwdttHkXwz2w04BjWyqSlVurVmth4xsXYA7r9KHU5DUaVbPWbrEq/Tg3G/J3E0DU2Vbq25PwtMBKZjtmbqcEQ6MVuWaGTzPSXc2lOlWy9m3wBGEisa1BinGlTpVofZ94ANgX3VV6H2VOnWz7eAxcC5qQMR+YDZgcBexK3TlXDrQJVuPZkNJdY/noD7nNThFJ4q3cqYfQL4FdGW9H9Th9MsVOnWk/vLwAHA/2C2UepwpImZrUA0svmaEm59qdJNwex44EhiT/ui1OEUlird8kSPkOuAd3A/PHU4zUZJN4V40U8HFuJ+ROpwCktJtzxmxwFHoT/6SSjpphKXdw8DF+L+k9ThFJKSbunMtgVuIdqP/jV1OM1ISTelbCJjN9x/kzia4lHSLU02kXsi7rMTR9O0NJGWkvuTwPFEY5yVE0cjjcysBbgWmKGEm5Yq3Tww+z6wHrCfGuOUQJVu35l9HdgZ2EWbc9JSpZsPpwJrAF9NHYg0ILM9gKOBg5Rw01OlmxdZw5GDcL83dTiFoEq3d1nDpQP1usoHVbp54f4ccBjRGGet1OFIAzAbANwIXKyEmx+qdPPG7GxgV2LsTT1Ne6JKt2dqop9LqnTz51zgbeC81IFIgZkdAuyJbp2eO6p08yi7MeDJuN+cOpzcUqXbNbPNgHvRjVFzSZVuHrm/QjTGuRyzj6UORwrEbEWikc1pSrj5pEo3z8yOBb5M7JFfmDqc3FGlu7To6fFT4C3cj0wdjnRNSTfP4k10LfAucLjG5j5ESXdpZl8BDif6KqiRTU4p6ead2fLEOstLcP9R6nByRUk3Y7YdMBfYDvenUocj3VPSLQKzjxONcfbE/depw8kNJd1gthox8Xo87nNThyM900RaEbj/ETgOuBGzVVKHIzkSjWyuA6Yr4RaDKt0iMfsu8FF019agShfMvgkMJ9qDqq9CAajSLZbTgKFtH6XZme0JHAEcrIRbHKp0i8bsI8AjwCG4/zJ1OEk1c6Vrtj4xwToe9/mpw5G+U6VbNO7/AA4FrsNsndThSALRyGYm8B0l3OJRpVtUZmcRe+t3atrGOM1a6ZpNJfovj9fa7eJRpVtc5wFvABekDkTqyOwLRBc6bZYpKFW6RWa2KrE+81TcZ6UOp+6ardI12xy4h2j7+XjiaKRMqnSLzP1VYH/gh5htkjocqaGskc2pSrjFpkq3EZhNAo4ltoA2T2OcZql0owfHDOB13I9OHY5URkm3EcSb8mqgFfhi04z1NU/SPZG4ldMOuL+TOhypjJJuo4jGOA8CP8D9itTh1EUzJF2zzwE3E1cxf08djlROSbeRxLjufcAo3B9LHU7NNXrSNVudmCg9BvdbU4cj1aGJtEbi/mdibPfGtpUNUlTRyGY6cI0SbmNRpduIzC4GNgH2bujGOI1c6Zp9C9gB2F19FRqLKt3GdDqwMvC1xHFIOczGAF9CjWwakirdRhV9GR4BDsX9rtTh1EQjVrpmGwAPAWNxvz9xNFIDqnQblfvzwATgWjXGKQizgUQjmwuUcBuXKt1GZ3YGMAYY2XCNcRqt0jW7DBgCHNA0a62bkCrdxncB8CrwndSBSA/MDgV2Ao5Qwm1sqnSbQdxX7THgdNxvTB1O1TRKpWu2BXA3sDPuT6QOR2pLlW4zcH+NaIwzFbNNU4cjHZitRIzjnqKE2xxU6TYTs6OBE4BtcX87dTgVK3qlGz0zbgRexn1S6nCkPpR0m0m8ya8irnAOK/zYYfGT7snAF4BhamTTPJR0m43ZckRjnKm4X5Y6nIoUOema7QDcRFx1PJ04GqkjJd1mZPYx4H5gNO6Ppg6nbEVNulkjm0m435Y6HKkvTaQ1I/e/AJOIxjhDUofTVMz6A9cD05Rwm5Mq3WZmdiGwGbBXIRvjFLHSNTsP2AbYA/clqcOR+lOl29ymACsCZ6YOpCmYfZ7Ymn2IEm7zUqXb7MzWBh4FJuJ+Z+pwSlKkStfso8ACYF/cF6QOR9JRpdvs3P8JHAJcjdm6qcNpSNHI5kbgPCVcUaUrwexrwD7ACNzfTR1OnxSl0jW7AhgMHFT4tdFSMVW60u47wEvA/08dSEMxmwgMB45UwhVQpSsdRWOcR4EzcJ+ROpxe5b3SNdsSuItoq/n71OFIPqjSlUw0xhkPXIrZx1OHU2hmg4FZwElKuNKRKl3pzOxI4GRii+pbqcPpVl4r3ehxMRN4EfdjU4cj+aKkK51F0vgxMACYkNuxyPwm3cnAgcCOuC9OHY7ki5KudM1sELGu9Arcp6YOp0t5TLpmOxJV7ja4P5M6HMkfJV3pntnGwAPENuGHU4fTSd6SrtmaxETkUbjPSx2O5JMm0qR77n8FjiYa4wxNHU6uZY1sfqyEKz1RpSu9M/sOsCUwJlc9A/JU6ZpdAHyaaJeZn/8jyR1VutIXZwCDgLNSB5JLZnsTW6m/oIQrvVGlK31jthYxXnk47nekDgfIR6VrthEx4bg37g8mjUUKQZWu9I37C0Q1Nw2z9VKHkwuxwmMm8C0lXOkrVbpSGrPTgLHA8OSNcVJXumY/ApYn+uPqjSR9oqQrpYmNEzcDz+H+lcSxpEu6Zl8CTgO2zvWuPckdJV0pndnKxPjuWbhfnzCONEnX7FPAnUQbzD/U/fxSaBrTldK5v040xvkBZpsljqa+4g/OTOAEJVwphypdKZ/Z4cCpxJbX+l9i17vSjaGVm4DncT++bueVhqKkK5VJOZlU/6T7VaLCH65GNlIuJV2pTCybeoDY/nppnc9dv6RrNgKYQVT1z9blnNKQlHSlcnGn2wep9waBeiXdPG4MkcLSRJpUzv0p4EjgBsxWSx1OVWWNbK5QwpVqUKUr1RNNXz4DjKpLD4J6VLpZs5/RuLfW9FzSFFTpSjWdBSwDnJ06kKow25e4A8QEJVypFlW6Ul1ZI+8jcf9Zjc9Vu0o37w3cpbBU6Up1uf8LOBi4CrP1U4dTlqyRzTeVcKXaVOlKbZidChxALW/OWKtK1+wnwECiP67eIFJVSrpSG7F7axbwAu7H1egc1U+6ZkcAk0m1y04anpKu1I7ZYGJ89+u4T6/B8aubdM0+Dfyc2HH2ZNWOK9KBxnSldtzfILbNfg+zzVOH06Oskc3xSrhSS6p0pfbMJgJTiN6z/6nicatT6Zr1I3oEP4P7CRUfT6QHSrpSH2ZXAIOBg6o2OVW9pHs6sC/RHzft3TCk4SnpSn2YDQTuB67G/XtVOmblSddsJ2A6MXH2XFXiEumBkq7Uj9mGRGOc/XB/oArHqyzpmq1NTPRNxP3OiuMR6QNNpEn9uP8dOAKYgdnqSWMxW4Zo1fhDJVypJ1W6Un9m5wHbAHtU1BinkkrX7EJgM2Kbr/oqSN2o0pUUziZee99IcnazscRStkOVcKXeVOlKGmZrAI8BR+N+e5nHKL3SNfsYMaE3BvdHyjqvSAVU6Uoa7i8CBwFXYrZBXc5pthyxNfnrSriSiipdScvsFKIr2bCSG+OUUulGL4grgf7EsIJe+JKEkq6kFcnwRuAl3I8p8XtLSbpHAScC2+L+dqlhilSLkq6kZ7YSsV72HNyvLeH7+pZ0zT4D3EFU038qN0yRatCYrqTn/iYwDrgEsy2qemyzVYlGNscq4UoeKOlKPrg/AZwCzGyrfCsXjWyuBubgfmNVjilSIQ0vSL6YXQYMBfbvdbKrt+EFszOAMcBI3N+rZpgi5VKlK3lzErBB28fyme0CfAU4QAlX8kSVruRPrNt9CBiL+/09PK/rStdsHWJibgLud9UoSpGyqNKV/HF/GjgcuL7kxjhZI5tLlXAlj5R0JZ/cbwOmAT/FrKX90warG3zV4JrPz52LwTVt/16t7SnfBl4Hzq9/0CK90/CC5Fck2zuAh8x9NnHLn1GAA4M6PHMRYBs+9dRvrzn00HV3eOCBLXB/te7xivSBkq7km9nq3z3xxD+eeuGFyy3p338Zerg6syVLMHintaXlZIfL6hilSJ/1Tx2ASE/MfWy/JUsGtba0DOjtud7SgsNA4CIDlHgljzSmK7llsDVwUWtLy8ClvjB9Omy1FaywAqy1FowaBffd1/EZyxGJd6s6hivSJ0q6kmdTiMo1c/HFcNJJcMYZ8OKL8OyzcOyxMGfOh793YNv3i+SKxnQllwxWB56hY9J94w1YZx248krYf/++HOYdYD2Hl2oTpUjpVOlKXk0kVilkFiyAd96B/fbr6zG87TgiuaGkK3m1JUsvC4NXXoGhQ6F/n+d/B7UdRyQ3lHQlr1bu9JkhQ+Dll+H99ys7jkhCSrqSV693+sz228OAATB7dmXHEUlISVfy6nFip1lm8GA45xw47rhIvAsXwnvvwbx5cNppXR1jUdtxRHJDqxckl7pcvdDuuuvgkkvgySdhxRXhs5+FM8+Ez33uw8/U6gXJHSVdyS2Dm4B9KO+KrBWY7XEbIJHcUNKV3GrbkXYPscOsVAuBER59dUVyQ2O6klsOjwCTiQRaioXAZCVcySM1vJFcc7is7dYQFxHjuz0VCq3EOO5kNbuRvNLwghRCW/OaKcBouumnC9wOnK8KV/JMSVcKpe0OEROJnWYrE+twHwemaZWCFIGSrohIHWkiTUSkjpR0RUTqSElXRKSOlHRFROpISVdEpI6UdEVE6uj/ABpG21Y7b+7zAAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"Le graphe de gauche est complet d’ordre 4. \nChaque sommet est de degré 3"},{"metadata":{},"cell_type":"markdown","source":"### Exercice 1:\n1°) Donner le degré des sommets du graphe sur le réseau social de l'introduction. \n2°) Donner son ordre. \n3°) Ce graphe est-il complet ?"},{"metadata":{},"cell_type":"markdown","source":"Répondre ici"},{"metadata":{"run_control":{"marked":false}},"cell_type":"markdown","source":"## Différents types de graphes"},{"metadata":{},"cell_type":"markdown","source":"Un graphe paut être **orienté** ou **non-orienté**."},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"R\",\"T\"), (\"T\",\"V\"), (\"V\",\"S\"), (\"S\",\"U\"),\n (\"U\",\"R\")])\nG.nodes[\"R\"]['pos'] = \"8,0!\"\nG.nodes[\"S\"]['pos'] = \"38,0!\"\nG.nodes[\"T\"]['pos'] = \"46,25!\"\nG.nodes[\"U\"]['pos'] = \"23,40!\"\nG.nodes[\"V\"]['pos'] = \"0,25!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"Graphe non-orienté\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.axis(\"equal\")\nplt.show()","execution_count":34,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Dans un graphe non-orienté, chaque arête peut être parcourue dans les deux sens."},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G=nx.MultiDiGraph([(\"A\",\"B\"),(\"B\",\"C\"),(\"C\",\"D\"),(\"D\",\"E\"),(\"B\",\"E\"),(\"B\",\"B\"), \n (\"E\",\"E\"),(\"E\",\"A\")])\n\nG.graph['edge'] = {'arrowsize': '0.6', 'splines': 'curved','color':'red'}\nG.graph['graph'] = {'scale': '3'}\nG.graph['node'] = {'style':'filled','fillcolor' : 'cyan', 'color':'cyan'}\n\nA = to_agraph(G) \nA.layout('dot')\nA.draw('multi.png') \n\nimg = mpimg.imread('multi.png')\nplt.figure('test')\nplt.box(False)\nplt.axis(False)\nplt.imshow(img)\nplt.show()","execution_count":11,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"metadata":{},"cell_type":"markdown","source":"Dans un graphe orienté, chaque arête ne peut être parcourue que dans un seul sens indiqué par une flèche."},{"metadata":{},"cell_type":"markdown","source":"Un graphe (orienté ou non-orienté) peut contenir des boucles c’est-à-dire une arête dont l’origine et l’extrémité correspondent au même sommet (on a par exemple une boucle B sur la représentation précédente)."},{"metadata":{},"cell_type":"markdown","source":"## Propriété de la somme des degrés"},{"metadata":{},"cell_type":"markdown","source":"**Propriété:** \nLe nombre d'arêtes est égal à la moitié de la somme des degrés de sommets. \nOn peut voir ça aussi comme dans la vidéo, la somme des degrés des sommets est égal au double du nombre d'arêtes. "},{"metadata":{},"cell_type":"markdown","source":"Ce résultat s'explique assez facilement: \nEn ajoutant les degrés de chaque sommet (c'est à dire le nombre d'arêtes issues de ce sommet), on comptabilise deux fois chaque arête (une fois avec le sommet d'une extrémité et une seconde fois avec le sommet de l'autre extrémité de l'arête). D'où le résultat. \nIl découle de cette propriété que la somme des degrés des sommets est nécessairement paire et donc que le nombre de sommets de degré impair est pair."},{"metadata":{},"cell_type":"markdown","source":"## Matrice d'adjacence"},{"metadata":{},"cell_type":"markdown","source":"Considérons un graphe d’ordre $n \\in \\mathbb{N}^*$. On numérote ces sommets de 1 à n. \n \n**Définition:** \nOn appelle matrice d'adjacence associée à ce graphe la matrice A dont le terme $a_{ij}$ vaut 1 si les sommets $i$ et $j$ sont reliés par une arrête et 0 sinon. \n$i$ et $j$ variant de $1$ à $n$"},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"En numérotant les sommets de ce graphe par ordre alphabétique, sa matrice d’adjacence s’écrit: \n \n$$A = \\begin{pmatrix}\n0 & 1 & 1 & 0 & 1\\\\\n1 & 0 & 1 & 1 & 0\\\\\n1 & 1 & 0 & 1 & 0\\\\\n0 & 1 & 1 & 0 & 0\\\\\n1 & 0 & 0 & 0 & 0\n\\end{pmatrix} $$"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"cell_style":"split","trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"A\",\"E\"), (\"A\",\"C\"), (\"B\",\"C\"),\n (\"B\",\"D\"), (\"C\",\"D\")])\nG.nodes[\"A\"]['pos'] = \"5,40!\"\nG.nodes[\"B\"]['pos'] = \"25,35!\"\nG.nodes[\"C\"]['pos'] = \"30,15!\"\nG.nodes[\"D\"]['pos'] = \"15,0!\"\nG.nodes[\"E\"]['pos'] = \"0,10!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"matrice d'adjacence\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":12,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Rq:** \nDans le cas d’un graphe *non orienté*, les coefficients $a_{ij}$ et $a_{ji}$ sont égaux pour tout i et tout j compris entre 1 et n. \n \nAutrement dit, **la matrice d’adjacence est symétrique**. \n \nDans le cas d’un graphe *orienté*, la matrice d’adjacence n’est pas a priori symétrique."},{"metadata":{},"cell_type":"markdown","source":"**Rq2:** \nUne matrice peut se coder en python par une liste de listes ou avec l'objet \"matrix\" de la bibliothèque numpy."},{"metadata":{"cell_style":"split","run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"A = [\n [0, 1, 1, 0, 1],\n [1, 0, 1, 1, 0],\n [1, 1, 0, 1, 0],\n [0, 1, 1, 0, 0],\n [1, 0, 0, 0, 0]\n ]\nA","execution_count":13,"outputs":[{"output_type":"execute_result","execution_count":13,"data":{"text/plain":"[[0, 1, 1, 0, 1],\n [1, 0, 1, 1, 0],\n [1, 1, 0, 1, 0],\n [0, 1, 1, 0, 0],\n [1, 0, 0, 0, 0]]"},"metadata":{}}]},{"metadata":{"cell_style":"split","run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"A = np.matrix(A)\nA","execution_count":14,"outputs":[{"output_type":"execute_result","execution_count":14,"data":{"text/plain":"matrix([[0, 1, 1, 0, 1],\n [1, 0, 1, 1, 0],\n [1, 1, 0, 1, 0],\n [0, 1, 1, 0, 0],\n [1, 0, 0, 0, 0]])"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"### Exercice 2: \nEcrire la matrice d'adjacence du réseau social de l'introduction"},{"metadata":{"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## Chaine et cycle"},{"metadata":{},"cell_type":"markdown","source":"**Définition:** \nOn appelle **chaîne** toute succession d’arêtes dont l’extrémité de l’une (sauf la dernière) estl’origine de la suivante."},{"metadata":{},"cell_type":"markdown","source":"* Le nombre d’arêtes qui composent une chaîne est appelé **longueur de la chaîne**. \n* On appelle **chaîne fermée** toute chaîne dont l’origine et l’extrémité coïncident. \n* On appelle **cycle** toute chaîne fermée dont les arêtes sont toutes distinctes."},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"**Exemple:** \nDans le graphe ci-contre: \nE-A-C-B est un chaîne de longueur 3. \n \nE-A-C-B-A-E est une chaîne fermée de longueur 5. Ce n’est pas un cycle car l’arête A-E est parcourue deux fois. \n \nD-B-A-C-D est un cycle de longueur 4."},{"metadata":{"cell_style":"split","run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"A\",\"E\"), (\"A\",\"C\"), (\"B\",\"C\"),\n (\"B\",\"D\"), (\"C\",\"D\")])\nG.nodes[\"A\"]['pos'] = \"5,40!\"\nG.nodes[\"B\"]['pos'] = \"25,35!\"\nG.nodes[\"C\"]['pos'] = \"30,15!\"\nG.nodes[\"D\"]['pos'] = \"15,0!\"\nG.nodes[\"E\"]['pos'] = \"0,10!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":15,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Compléments"},{"metadata":{},"cell_type":"markdown","source":"### Dénombrer le nombre de chaînes de longueur **k**"},{"metadata":{},"cell_type":"markdown","source":"Considérons un graphe d’ordre $n \\in \\mathbb{N}^∗$. On numérote ses sommets de $1$ à $n$. Le terme $a_{ij}$ de la matrice $A^k\\ (k \\in \\mathbb{N}^∗)$ est égal au nombre de chaînes de longueur $k$ reliant les sommets $i$ et $j$ dans ce graphe."},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"En numérotant les sommets de ce graphe par ordre alphabétique, sa matrice d’adjacence s’écrit:\n$A = \\begin{pmatrix}\n0 & 1 & 1 & 0 & 1\\\\\n1 & 0 & 1 & 1 & 0\\\\\n1 & 1 & 0 & 1 & 0\\\\\n0 & 1 & 1 & 0 & 0\\\\\n1 & 0 & 0 & 0 & 0\n\\end{pmatrix}$ \n \nOn a donc $A^3 = \\begin{pmatrix}\n2 & 6 & 6 & 2 & 2\\\\\n6 & 4 & 5 & 5 & 1\\\\\n6 & 5 & 4 & 5 & 1\\\\\n2 & 5 & 5 & 2 & 2\\\\\n3 & 1 & 1 & 2 & 0\n\\end{pmatrix} $ \n \nIl existe donc 5 chaînes de longueur 3 reliant le sommet B au sommet C puisque $a_{23} = a_{32} = 5$."},{"metadata":{"cell_style":"split","run_control":{"marked":false},"hide_input":true,"trusted":true,"scrolled":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"A\",\"E\"), (\"A\",\"C\"), (\"B\",\"C\"),\n (\"B\",\"D\"), (\"C\",\"D\")])\nG.nodes[\"A\"]['pos'] = \"5,40!\"\nG.nodes[\"B\"]['pos'] = \"25,35!\"\nG.nodes[\"C\"]['pos'] = \"30,15!\"\nG.nodes[\"D\"]['pos'] = \"15,0!\"\nG.nodes[\"E\"]['pos'] = \"0,10!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":16,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"### Exercice 3: \nEcrire ces 5 chaînes"},{"metadata":{"cell_style":"split"},"cell_type":"markdown","source":"Répondre ici \n \nPour vous aider, la première est B-C-B-C"},{"metadata":{},"cell_type":"markdown","source":"### Complément: le produit de matrices carrées \n![schéma](https://user.oc-static.com/files/420001_421000/420021.png)\n\nPosons $A = \\begin{pmatrix}\na & b\\\\\nc & d\n\\end{pmatrix}$ et $B = \\begin{pmatrix}\ne & f\\\\\ng & h\n\\end{pmatrix}$ alors $A\\times B = \\begin{pmatrix}\nae + bg & af + bh\\\\\nce + dg & cf + dh\n\\end{pmatrix}$\n\nPour calculer $A^2$ on peut donc faire avec $A = \\begin{pmatrix}\n1 & 2\\\\\n3 & 4\n\\end{pmatrix}$: \n \n$A^2 = A \\times A = \\begin{pmatrix}\n1 & 2\\\\\n3 & 4\n\\end{pmatrix} \n\\times\n\\begin{pmatrix}\n1 & 2\\\\\n3 & 4\n\\end{pmatrix} \n=\n\\begin{pmatrix}\n1\\times 1 + 2\\times 3 & 1\\times 2 + 2\\times 4\\\\\n3\\times 1 + 4\\times 3 & 3\\times 2 + 4\\times 4\n\\end{pmatrix} $\n\n"},{"metadata":{},"cell_type":"markdown","source":"En python, on peut le faire avec une complexité en $O(n^3)$:"},{"metadata":{"trusted":true,"run_control":{"marked":false}},"cell_type":"code","source":"def prodmat(A,B):\n assert len(B) == len(A[0])\n reponse = []\n for i in range(len(A)): # pour chaque ligne de A, une ligne de réponse\n ligne = []\n for j in range(len(B[0])): # pour chaque colonne de B, un coefficient dans réponse\n coeff = 0\n for k in range(len(B)): #len(A[0]) = len(B) est le nombre de termes de la somme\n coeff += A[i][k] * B[k][j]\n ligne.append(coeff)\n reponse.append(ligne)\n return reponse\n\ndef puissance(A,n):\n assert type(n) == int and n > 0\n reponse = A\n for i in range(n-1):\n reponse = prodmat(reponse,A)\n return reponse","execution_count":18,"outputs":[]},{"metadata":{"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"A = [\n [0, 1, 1, 0, 1],\n [1, 0, 1, 1, 0],\n [1, 1, 0, 1, 0],\n [0, 1, 1, 0, 0],\n [1, 0, 0, 0, 0]\n ]\npuissance(A,3)","execution_count":21,"outputs":[{"output_type":"execute_result","execution_count":21,"data":{"text/plain":"[[2, 6, 6, 2, 3],\n [6, 4, 5, 5, 1],\n [6, 5, 4, 5, 1],\n [2, 5, 5, 2, 2],\n [3, 1, 1, 2, 0]]"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"La bibliothèque numpy nous permet de travailler avec les fonctions et opérateurs prédéfinis"},{"metadata":{"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"A = np.matrix([\n [0, 1, 1, 0, 1],\n [1, 0, 1, 1, 0],\n [1, 1, 0, 1, 0],\n [0, 1, 1, 0, 0],\n [1, 0, 0, 0, 0]\n ])\nA**3","execution_count":22,"outputs":[{"output_type":"execute_result","execution_count":22,"data":{"text/plain":"matrix([[2, 6, 6, 2, 3],\n [6, 4, 5, 5, 1],\n [6, 5, 4, 5, 1],\n [2, 5, 5, 2, 2],\n [3, 1, 1, 2, 0]])"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"### Exercice 4:\nDéterminer le nombre de chaînes de longueur 3 reliant A et F pour le graphe du réseau social de l'introduction."},{"metadata":{},"cell_type":"markdown","source":"### Notion de connexité"},{"metadata":{},"cell_type":"markdown","source":"**Définition:** \nUn graphe est dit **connexe** si deux de ses sommets quelconques sont toujours reliés par une chaine. \nUn graphe est dit **complet** si tous ses sommets sont adjacents deux à deux."},{"metadata":{},"cell_type":"markdown","source":"Le graphe ci-dessous est connexe mais pas complet."},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"B\",\"C\"), (\"C\",\"D\"), (\"D\",\"F\"),\n (\"B\",\"E\")])\nG.nodes[\"A\"]['pos'] = \"0,10!\"\nG.nodes[\"B\"]['pos'] = \"20,35!\"\nG.nodes[\"C\"]['pos'] = \"30,40!\"\nG.nodes[\"D\"]['pos'] = \"40,20!\"\nG.nodes[\"E\"]['pos'] = \"30,0!\"\nG.nodes['F']['pos'] = \"10,10!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":23,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"
"},{"metadata":{},"cell_type":"markdown","source":"Le graphe ci-dessous n'est ni connexe ni complet"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"C\",\"D\"), (\"D\",\"F\"),\n (\"B\",\"E\")])\nG.nodes[\"A\"]['pos'] = \"0,10!\"\nG.nodes[\"B\"]['pos'] = \"20,35!\"\nG.nodes[\"C\"]['pos'] = \"30,40!\"\nG.nodes[\"D\"]['pos'] = \"40,20!\"\nG.nodes[\"E\"]['pos'] = \"30,0!\"\nG.nodes['F']['pos'] = \"10,10!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":24,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"
"},{"metadata":{},"cell_type":"markdown","source":"Le graphe ci-dessous est connexe et complet"},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"A\",\"B\"), (\"A\",\"C\"), (\"A\",\"D\"), (\"A\",\"E\"),\n (\"B\",\"C\"), (\"B\",\"D\"), (\"B\",\"E\"), (\"C\",\"D\"), \n (\"C\",\"E\"), (\"D\",\"E\")])\nG.nodes[\"A\"]['pos'] = \"10,0!\"\nG.nodes[\"B\"]['pos'] = \"5,30!\"\nG.nodes[\"C\"]['pos'] = \"20,50!\"\nG.nodes[\"D\"]['pos'] = \"35,30!\"\nG.nodes[\"E\"]['pos'] = \"30,0!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.show()","execution_count":28,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Rq:** \nUn graphe complet est obligatoirement connexe mais la réciproque est fausse comme le montre le premier exemple."},{"metadata":{},"cell_type":"markdown","source":"### Exercice 5: \nPour le graphe du réseau social de l'introduction, que dire de sa connexité ? Est-il complet ? (justifier)"},{"metadata":{"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## Chaines et cycles eulériens"},{"metadata":{},"cell_type":"markdown","source":"**Définition:** \nOn appelle **chaine eulérienne** d'un graphe toute chaine qui contient une fois et une seule toutes les arêtes du graphe. \nOn appelle **cycle eulérien** une chaîne eulérienne fermée."},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"M\",\"P\"), (\"M\",\"N\"), (\"M\",\"O\"), (\"P\",\"O\"),\n (\"P\",\"Q\"), (\"O\",\"Q\"), (\"O\",\"N\"), (\"P\",\"N\")])\nG.nodes[\"M\"]['pos'] = \"0,0!\"\nG.nodes[\"N\"]['pos'] = \"30,0!\"\nG.nodes[\"O\"]['pos'] = \"30,30!\"\nG.nodes[\"P\"]['pos'] = \"0,30!\"\nG.nodes[\"Q\"]['pos'] = \"15,45!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"cycle\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.axis('equal')\nplt.show()","execution_count":32,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{"run_control":{"marked":false}},"cell_type":"markdown","source":"La chaine M-P-Q-O-M-N-P-O-N est une chaine eulérienne. Elle passe plusieurs fois par le même noeud mais ne balaye qu'une et une suele fois chaque arête. Cette chaine contient bien 8 arêtes distinctes."},{"metadata":{"run_control":{"marked":false},"hide_input":true,"trusted":true},"cell_type":"code","source":"G = nx.DiGraph([(\"R\",\"T\"), (\"T\",\"V\"), (\"V\",\"S\"), (\"S\",\"U\"),\n (\"U\",\"R\")])\nG.nodes[\"R\"]['pos'] = \"8,0!\"\nG.nodes[\"S\"]['pos'] = \"38,0!\"\nG.nodes[\"T\"]['pos'] = \"46,25!\"\nG.nodes[\"U\"]['pos'] = \"23,40!\"\nG.nodes[\"V\"]['pos'] = \"0,25!\"\n\npos = graphviz_layout(G)\n\nplt.figure(\"Graphe non-orienté\")\nnx.draw_networkx_nodes(G, pos, node_color=\"cyan\")\nnx.draw_networkx_labels(G, pos)\nnx.draw_networkx_edges(G, pos, edge_color='r', arrows=False)\nplt.box(False)\nplt.axis(\"equal\")\nplt.show()","execution_count":35,"outputs":[{"output_type":"display_data","data":{"text/plain":"
","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Le cycle R-U-S-V-T-R est un cycle eulérien."},{"metadata":{},"cell_type":"markdown","source":"### Le théorème d'Euler"},{"metadata":{},"cell_type":"markdown","source":"**Théorème:** \nSoit G un graphe connexe. \nG admet un cycle eulérien si et seulement si tous les sommets de G sont de degré pair (on ressort du noeud à chaque fois qu'on y entre). \nG admet une chaine eulérienne (non fermée) si et seulement si le nombre de sommets de degré impair dans G est 2 (on ressort de chaque sommet que l'on visite sauf le premier pour lequel on sort une fois de plus et le dernier pour lequel on entre une fois de plus). Ainsi les extrémités d ela chaine eulérienne sont les deux sommets de degré impair."},{"metadata":{},"cell_type":"markdown","source":"### Exercice 6: \nPour le graphe du réseau social de l'introduction, y-a-t-il une chaine eulérienne ? Un cycle eulérien ?"},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"celltoolbar":"None","kernelspec":{"name":"python3","display_name":"Python 3","language":"python"},"language_info":{"name":"python","version":"3.7.10","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"},"varInspector":{"window_display":false,"cols":{"lenName":16,"lenType":16,"lenVar":40},"kernels_config":{"python":{"library":"var_list.py","delete_cmd_prefix":"del ","delete_cmd_postfix":"","varRefreshCmd":"print(var_dic_list())"},"r":{"library":"var_list.r","delete_cmd_prefix":"rm(","delete_cmd_postfix":") ","varRefreshCmd":"cat(var_dic_list()) "}},"types_to_exclude":["module","function","builtin_function_or_method","instance","_Feature"]}},"nbformat":4,"nbformat_minor":4}