From eaffac5c916755ccf9a166830dd582f409502d8c Mon Sep 17 00:00:00 2001 From: Juergen Gilg Date: Wed, 27 Jun 2012 23:02:12 +0200 Subject: [PATCH] =?utf8?q?Ajout=C3=A9=20la=20version=20nouvelle=20de=20RUT?= =?utf8?q?HERFORD=20...=20Ouf=20--=20l'enveloppe=20of=20the=20"shadow=20ar?= =?utf8?q?ea"=20kills=20me=20!!!?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- .../potentiel_coulombien_distiller.pdf | Bin 79922 -> 103503 bytes .../potentiel_coulombien_distiller.tex | 191 ++++++++++++++++-- 2 files changed, 175 insertions(+), 16 deletions(-) diff --git a/gravitation/potentiel_coulombien_distiller.pdf b/gravitation/potentiel_coulombien_distiller.pdf index bac941cfe8b6fdd22db926bd77ff6e3c52f3b79a..3fd7abed8c325566f59d48ea4c51b3585237ff81 100644 GIT binary patch delta 85903 zcmZs?1z42Z_Bc#;3raI|GXpb2NOwp}cXxNmfON+I(t@4fa*-7(5|DH@DXRZ51Fn+t-=xV|y|4HpXn0)PO{W_GwjLO?}Z zCreW|TR%$+05?z(zzqUJL13T?0Kx;52Jk`!1fW1=02HY4^bHS`9}JWO=mWUHe7pb% zFW68-1lQ8Z;twal|9)_>eB3Op{*nZRB*Ca){9pk9=+6h>gp2jp0K_f8^Q6cB!g#o! zF#Zk$gL(cA1M`3&|A2vc|A{96=KF&O`)|PzC?ELm#1H}gzYzZ$4+?_(0}l!j;Ql); zlvm)Nczitk|AqG?|LMaE;{FFQ?~^hA3-MogVCX-rB_P1_ciKN5f&Pt_8^jCwyJfgR z{4nl+A__qM0ejNr@5*pQS zo2emB3jU9fCm9fKFy!w+2zfFB?4O7N+;d@WOMp61-pR@t@TX?{8B6I4iE~Ryg88MvPmE=x`J}*L30@va zZm@)a3_lNqTO2AP#3u!j7XJf>2!Qw{ArkyjPnP4A5trtc21!5!Bt#5>s&1BEf7LNQ zo~O!%bGmsgs25F#QEed`F82CO}Fl$b-Y=#d6wS6`W15Uc|2Y^LIHpPgO!zxBFh_+$DbmP ziSgYOD>ynOE{>giBA^!oQuzUfyyg!eFgF>&MV%TDJ3!DX9O)XKGToW!??_4jON)x9 zY=`|sMEi}lT-+>3ZRd{7!hHa5A?Ub@s}s{7+E1Hz&_~k)mp9ZK-H# zX6fJ#06(SczadY5@WJ!ZD3t!B=6}{bNoOYyOD7L^{XZ27pbp@Dip@Wdr=AEP2nGoJH53s6$~>v^v=Ym3KLy-hh%!7+0r;;G_-UQ} z*9ZcD{7aY&6u|#)7%zbDU+E&l2jKfNIdz~6Kj6>m22g)utm@`${@T(5j<-vT^{1Bp z0g8ygxiyL5BiNW^QnIgX6oFa|I%3i9)m-R z#LEq@!VyG^6|m_a4C>^xw+wKxQ|?a znfL!GPU>H}|Cc;o9{4Y801__*zJL5A=Mz{?4&5h3tNCPo+-@;~K8BU#Bg1cVcQbdN&PEVr3w6! zvsp815ThI!{*5BOM5~EQKO?QRYIIB5%b~$V$c77O8AFq#|0vKsa~W65|0G=qCU(E4 z=h6PDYcC}*z;Df`@sa`^0%lO1oiKaRKU!Z0v=fVDJya1~=8$+kv#ajo;993p@cQRl zRYqN0&Dt_Vr8^i<;gzz0_wB1sk&^HW-b&$WWIoK=^K8q&MR)3R!${T)#*=XOD6mqt z1+MF0+ZBh-i$d%f)LnJdG?m;lYnO0_61`6rOyl<>ZH!JC-nrQEK$Z@Ik+=NTWBXtD zIy_hc@3wxkiw~KNGSi}qlc1Jhv9S-Sp9)wUbH3YWICJB+7Hl=iynUl}yO&L4?n7>> z2Ps)ueYlvLoYL8e34AIaUxrJ=|CA3z0XQOn7YPc28vuAw|BBH1cYqK?Bq%o=n8E_@ zp%bHeijluE>M4emO&u-&H;&=KY2W2T>97CU0 z6-Ia@{RNye1@~PH0Fe#Ox(n6``k{INzW3h#v%0g=;}Mkbti6aHtA=KNSaFkwlIHhVb#i)t1O$HY>5(z8bG* zJ46N(voS~qHxdiBQDiB*XP7@U#^*h+Wg)5LCqN_Xo2cd*{i>5(ypi&pQ*B|^}MC}tb5fCU#&FyVR*FMm@Ha1KL6u);J4<^#L#KbTL$_0 z1y84}naa%118*)a!;UhvVa2C7Lkack%!~0?J?KpO{cT@~dIypcAy{lO-YV2ke;n>u z2Kvj&s7S?FJUpCe&AGc#Ee;Paugnsk@ySWuS_KjUs)G_7?G|?P5G0MSI%~4&J>VYT zQ_iTFK8mY4IBcq;M_gZDqbg{Qyp7!H!nYoO-G@Gi#@d9^haxoyL%n7CzkkO2)BJ?AoMbKofz2>qHG`AB86aa1h2oK=&cHMMiy-gD6QmTmb(w8#%LGU8a?$ z6%>%msGJo0?%*9vsHCklM%~}G_7nIH{fQ*WWKicnc>L86i?Gvy~VtUQ!>!Ere`$f^q%Hl+&p%H~>_+29t zbv0PS!xN2sHvCO;$wGJ2jiZb_PSXGwxfYktJ$2mi{&NKkU$gpi6gj!m2fxK#Chcpg zd*kZBIP$Dtc?CUtbXYJ(%JWd9bzkYDsDk;Meg_$+fMkVSopgiTZnNm*lm13fb$F-- z2H^?bz2vQn+QS-?ue($|8!uEor`L=-cZq;5ZH;)<-jqa<`KX(Y5arZ(GINXeSMKK` z-FZF7T%igWM}5tGvp;BeI1xM7pHA`~IRVv+kE)D?%POq>OPzBo29eWb4lU>J-?XM3 z9k(^FOU^lSK5`h24`5+^{1G#aew<^^>&A;;GVyy;iFa}(o$fTCr2h6wFr78&u z<7WQV&0i3Fj}{&*I2V;i`D;=_Qt50Z?f^vCYzoWbvt}!^u}$+1=euF+?M=l~Y3h-4 z`F%Oay!`<-fQNekg9Zd{>EF!SSDE4I3;1)u9?msRPl}&STknAvy`Ij)^WWw{kZ{$x{4VqFf{go5PBS-qa;F6kkq}^Nvmi*GE z9ew7SVAKSfE|x^j8)}u4voXAjH5BC_*u{2t>!g?$GHx(P3#DT1=zROG8j@=r=P6v$ zVN#BJGb#HisBJS+&eufJVc+$Q=B#Dsc***t&yAZw2lX1(m(Zxr0AwuHkxy}s>&p{n zqR-_5GQ46$jI#%e_9lNQY=Y{ln_&o?S(XWDO3(Z{H&}FxCwhO3$|i&X-0hWuV9y$` zdnjtnbxd3>DHk<#^cUIqq-G*y!Wa%+Kh->x9shiLlz0B}Z7)Aref_&N)^z^{B8NCw zdCUA)v#1x23BT@7G2Y;BHr{fQp|?n~<@iS~F)pn{r3SxKRW86}8&3vNF}j#+^q`Rhzy_|M{nOS_AtLiHvo7_lap?ixp7+&HfC)HtmO~`zeZ4n+k0Avc2BPcE=THg* zXM1O;&y+OSSU9gcZzBgP>iR{#r_ybXf%j25 zfB>gtm`ByBPAe;Sn5h&-KPw2D!|QJQ_J9gPWFo$>cWczElo{UIE-8{4PIZ(Yv|GgY z{?V_orggCQwkW*^4)Y4qt*JpRly)986)9BxLL=ncm>EcgvZADUwD@iF>uMSJ#~_xF zqY1ZS>x5yYXuo4YSEH)Kho$Kq;=!}GY`DM0oYkFFuq}>RP|Q1F2Qsj7`)#hK^A|JV z9K$I8^K1@|L4;hT zi15RQayry42K%#bZY>EPc>8?8KH<;PV+`P_RrRYHmEsF}Z$6CmwQ+Pey?^e))3%Qf zM=*<#MwsrjCZw!|u^_yfCv!IFUcBl&hzBLjq-kL0$n-e5S3@O4AL@?;gdBdxH_C(a!KgOh6?7s47VQ3+pgu}__ircbdMXBrRo^9y_$)B*VjYyZv z_eafYP*B>c@-Sn<>^iPQ)Ga6D?N_8z>+cgjqdnhq-m`Zdz$6gR=;??kNB0bdl`IgX!5G*-!Nxw=B!jO?_Y90zL>vwSDAZfE*w(@hSqbjX;nyGkkCZ6Mwr`!sRv)VW37Q zg72G;(Azcdu=z4x7b?$^g!J@roFqa`10}%1Pfp{vp_s7Zu(Ez5ru2M1`(ALcf4(kE zdG%8RdjQ?M_eb_y9^}_Xf#~31!(#+6_2P!)LyOVgAri?WSX;XTF5+KTeM)>L-5If3 zXZ3OZ*UydDvs42^W9XNJ%ab z*JX7u3JibAXRJq7+YCxnTNA)Yc#lJD)y!v7`3X6-6Ij zz$s_8t{TX}Ja>;$Sj94x|CRjGr;&f>+}9)Y6GFkT$<#c{n|s2sX3iFuecCep-N7R3 zEn^|EMgW^f)J&}{YJX{Lne^ShK!$`3_E!{kyDvXN_u@dAk4P9;jB^{it7R!RhwX=l zXGOFyZx?J!Z@$Z!!>X9(d66w%yAU>^19Ok|K)I$OXH3GjRlWz>g~c+G&wQN58Qup- z*a<8Lw@hjo-#_lJ0TWhaycHd~)iFQ%6|8Ed92hups$|KDWWAdtkw%ZM=3!z}EfDWW zB5#mBCe@HMtkR2V_>@6O9glBHzR>qVFObBlbh6c9nXKmrE>vzSKMYagFEu zb_$_rbvxXcq6i<2AvPVTsv6a_4^0Tyhb&UdM8;XIda|fD zPM_X0p~m~ffVk`X%69E8hz25BKYq(kW1_bsW>aSDqvBu_LzV7ddPWd}0X8d2*ew0^ z5@zS{tG;cGuFra=52$F7^C_(UCdtEhEqL7?Dak}>B@2Mvs-_nh7|;8Ia#LIgFLP9U z0Kw0sG#eOi;R<>osZLP;j(Lf6_=vXOSX|!57bf1L$^1Im24bLTt3$CPEVK5 znm?lq;urZ5oxGE}XJje52ze)gvTrotpCZ+jn<;5Y)K(E`WT4$_Cr*ebnKDP1RSXcncH+P9QJ{Qq7y}#Jnu=4|)zjI-(#_V| z#slc`^mMiW`T(VY>OdQy)n5lgpr56iGtk4^8R!T!13uB4y4wKlfUZCf8#hbK|2j;n z{y9#E6VoE>@F1?rk?71qjMBv00D4b%%>sC!TC;)~H4WBVI z@%mn(LWHM%)LARZ_x5dFC^-dfGcXla`4VNw7PfHmlTcA;zs%KmW0gH7-|a=HL3y%&-#TD6e((z+8D<)H?!T{;d2Dl z{3|Rugw>j6RlV^nR$w41S(Y;8W@lh>C*4MuNA27^sMD4JD{Clb6N=Wv1UjhO$0w-;H2b{T>240%@ z9zNfS1NU3=M&y3-vjnCW&>ZLvbOGAJzcBE@5gB>aeSpqR|8|~*t)-i#yRAD=9BA(B z=x7R*1e#k~*g80v0#$(WPmKbg^1prk?tuc`V3=Y8r7^ax>%|Q4YWF!U-Oca9s za6L{g7QM!jnY~>%|JIgiu9C{ihn}0Z5^vS6I<=3DTcm9z?75CqI4WaTuv*tdSMAP&$9>~HK^-;x7(|Z2Ae<*V3dIm zeT(Bl-23ucl;N&72?@SlODSaCE;4~?%HcJoQYk<#MJ^)Y*5scUMPx(L0v|R%;6!Pp zB)w<+I>zp1oKk(;i8KZ`9r9wIF1xKE-r0+vphp(1;0+o=*xWD`y#$kTxy_ z^ozs&5oY=J7LA}3R*6VLoZ0_Sw{@POFO@=3YCT3gqKo%JIP6&7hK=0IajZS&#g%`h zRrP`e(n~1g@Oaf1rWr>8pEn8njui>(-s~aAS76dM*H~N%GkVm--cf1!y`14=Hq}j{ zq+ROjs(2f$r<*5)%8DYa>Yy0H`_Qw(=7dm#s!nu|=9FMJ7?$C78dmqE2ODz*zfwY0 z@WS>7M=tc6lUi_I)Xw(Ld^L)R(%4-gB@&SB$*EslXD`Y8KD~Vc!U8ON(AdBar3!mG zd=)HPSrFKSi{1|Et-P9B@cGg6uAkotZn&5N`7MvhgRIrF~bt!(C6O)$RPJBkU26IeiFofvWwR`%}s zZzkGKA*PA+AZf|zbWW|8F2j1V-J;T>H^0zM#C>4BynW(GeX`$3U)@cF1F~WGAJ^O1eV}=)jV{ne2qDvMoi^&6CUZ#)FtlZ8 z0(ii7Z>=lmekb6sgfG}1=rFZ$@>ef-`f=6z`ED(J`d(3OSF*KH;rDcpA$9>gMpFz0 zmpnwu6hztXu(~!@d@Nv}n`~pI(MZxPF_FL?L#mMxQMn5AelWe{Cb&%2jHGGNr~AGr8VV8Pvp=NYkZ^XE69s<=Q<4 zDfnUD z?)*Lco1VGUS;SgnP?*hRYFCN;Ss7OfmtI|bbKua|XeFuB77_lZql5JWhO9bG?q~OV zw3D-W;=Tf&I4hE>Q=}}K30$v%20>Ck7}|%L3JQuPoC?&2<-I~z?BnmHN-uMwq~wR| z-{t$F_{HDJ^25R%vpZcoQ7nl#ODCVJG70x$kEL`hS~kwke+evIn_S#oqM1~0TK7wugkQx?w*x-j)G#3YtVV4vz_ z=?>x$J|U)`yJ5w({}}KsEF?;q1@V>X2sh80m3gb*{~*9BFR*U+Kok67CDAgH<=A~M$N;VYS4$x zhf$8VToc2X3Ia4jElSDT(IQ0AnY$=;kor|6SBza?NdVguSXXU(U+aCF1X zqLZozBKO0;lo)zK$ilG&o@c@O&HLNgRK-`0Hqz2ZxAg3A_4-WpoEtG`=P#5K`i+hN zYcb4=yy`f@YRXLurHTNreNxZ1F7YsWkMzg}eYzw${=fkL2v!N7 zfV`m!#C{^wycn`KkQu*X$lv5 zNZuFEv@l~+_@`O83^YhZjSB7yCSF>G$CE{Yr*#)6UP|74)8j5J?;(7gSvOvTAG>}D zHvcRqvJ?M6AB}5;t4svbacEc${(K=OvjRIrG<~_p*$~^S5i!%pLBjSv%S+FeXrO)B z8&jEim3`^1O;H}#vVckcWlnuSJWU4uf|kSTy7{GJ%kruTr3K5kL|j?=_w-aNfwAw-%YqFsts={C7cv2gH($%< z%}PhQOR{x5Q+G!T)-3qfW(M$$R2DVUjm5sIqr?;BEgP-$n@8*~MCQ75M>l@52{n-8 z99CM)k&blh)us?PfAA-U5!Qbr30vK#J@`UGx?|Q0tx=x{OvR%v;qsmvpILA3L4HL* z(S9tXkmKVuh7US{#rTUvj175c!ewNcM#V`>X@8b??wsp>@Z4sRl|v{w_&h8nOwL8j z_~Bg_SG4gE3R%mpe-IJ1-y;s#=JJt-MZN$>sqK+)P<7P9*$eU!NoJ;s?4~-f;lQ9Cr>JoYr!Dw!h??hxQ_kK(@fT2;Uq>MjE41UTCN@jC>{5I=Mbxj99!`-3e~RKG?TL9bn7RNEo)C_Uu5@hQk{s zItt=vCPr)HVTtq>&P}KWhtDa1dfw|Z&3&fcUR6@;GsLQ9eelr@Qj6Fo{FS(udV+=) zhr8{^0#_orKm3peBxCtENe%05>{3bx_y!&a4SnRlbOr{@FQL$D>?{Fp?-xTVj ztnI&;-_%Nut(FJmWDV@H=AT-sXRbCsJ3X&lcRQ`I^4`9L6(2iaO~|t5X@sAb6o48r zKOa+5zdA-UNxHKWHj^9dY_#g+81@NSn5aX{c;Pn(0Mf;{@RbxcXx zAD6@}pm(tcE_#K3Qi6!qIA8i59wo?^78%Kt+F23iwSYtn`z9Go>(vcL7+f+PbTbp` z9$NSNR9M)eVLI!ZYN7fQxDsdmQN|78R_~z#`>}g0JK32$7S!HED4N~uJ*+{SSsEA_ zQPm6=ZKSbtVm3fbWL6`w-O_lu&N}6_9_iVBijn;dzjKHF#y^Gj5jUN?&;8Ev`nMzR zJ$WusgFvRUG1CF37-3sRCrXp~_hImKqhp#IdVu>e`yYh5W$7mXBBJZax_$G*=H8BviW%MY2w7h#C<>>dtC(&)=2 zn6pDX?4u}O)+|>rOwEMsLT}JMHR&-hn1hkAm#dL<4M4aZANA)T3}GprClZKF42VNP!Bn_^7n z9YL&twk&CT7q_P3kuf}N^j}QMv%?;!MR~}*w`#Ry1MW?}zBe;``$%Mh@OIm18-DPE z1}>2D3?9y-Mrroc9r)`UFY(_ed7#Ww7fBL6!y`$;``3#?e`^ZBxxm^;yij<45(E4W zN(`eMBt*S$5l!;V_MNl(0rZWf!v-ZI)M9LkUxp}FIba#6>m_^LzX-NynwbNx8UDJ=VA${*}>d$%>X;GMC z)2^oj=_6?P6j-S4U3|m7Z2`0R3T_7rQ@mgjan2>Hu`U}>YJS#{>%sGfEj|kR4T%Y6=|BFI7pP3wQ)w@AB6owWgxzDDu>|UnKVW4@P+dgI-b~C+89a7@b=rf*F6id zJm$o8vU$ResXR_7U+LmI4}ag8PLa!io0NAFv6{~HFg?6m=9dlCJfcorgl+w=>yR2%Qv1znDo@cePLP*TYVtkm>kgut(b| z6VD;U)Av2eKir9&oO3TdbR&j;le}xdyZUy{U>^JJ*DhfSQc&pI@$qY`qz)Pr*?@A|`_rFxCvf|}6e7hxU z1Dbvkt7rO-MXqzqE&RFd(531vQ%2r0;Nz7@09u6&FRnhDmD08Iq=DIa@8u1W<1g*G z>~TnN@0IUKYdY*<-FWrrF1iqAll*e8JA{?`k;^T3#st*Vyz^_4XhGj(_r>;XeTYHu z5K|ep){AN*`zaJz*#+i&7w&gLs!Fo5>2WV{ZNhrcTGNryiK%_q-{$+9Qmej|vXD5g zeh<5^(%6!o1Q;(E(|ik?4ONSz#d#obRC3r2ckHn--OM%4>r4?QGW5X{JwP7*!k*a~QH-yysX6^_n8L7L+rzd}WM@{3c5+Q^K zNOOB9OaFMB7FguQj4wofFqadPh{`pfGARwCA~bGyv^VMLD=-PhCS)q?m3 zyTMMy7M|kb(cbq`!=_g*u*T0>KCQykgRy8#tWqg3F&zXg=C0?+qBYSxiSL81vh@Ok zh*`5}zD!((0CxRK`Ef(GG$NhI*Qdwc!}n2HH5I{bD(Hd^YVyHT91NCJ-)jd0S;bbg zDafJ5eezB@oS?h7q-$xnc^+?tK(lA`<^g-b+LA>`dcaI}GLDi~7_7;t;&}3RSn}o^ z;j~)1gx>I>tUB&AOU}HFI3rqKmJ+LDh8W3;aI1}t`!1!Z8jep`^tg)@HOtobyeXeb zuAtxLpN=+y_Qbjn(%|G~ct0*c0?QUMg_fv364TP?{FyHn^FJG*are8pt@YW^lQ3A)`>c?Q&Gu2ZzPd zA5CpQ{J}6Vg966qjPCgGBJ0leubJrQ@#4n8{Cz#2e^K$S=11DBdWkfSl;&`SXnzk) zWw%u%uHxmOY#8aj`?VyzY+)+Xi?WVp0Wo}04BdD3dwSOc1EE*KX*4a9YVMM*HbhoQ z1bSez#I^A*WqkEi$mC{kI8jPMa;@n|ZIe<4Tcrk;ZX(8`J8=hV!aa%% z+QyVjEuhzqh{|8o7Wo|W-Ra%ESHl~IE%)wk3O~D>`uHZKrEgXygkvT*6hZ=c+P?1k z7U`uoi5#SL9gEM3`*33D$QE?P{ak>lc?BSshlWXL6)JAuCvqr-h>`LLjkweA>Gm$ zSO6egs;zjg!Mh$*Ih&Qn{oonCXb;ON%i$^*BrO^3-5jMq{b_1w8(Ir$YhKCex5TNh)ev2GAcsPxvcuBNRBLXDM$}3i%ylA z-NsBBf~HCdg3L(7EYR$jh=o-rU2}GbTP3#K)ok0ixCkZ|o1?Aim%EbcBxcQuU{Rme zqR)TzxIM2p^MmUQ_!z9P_TDLt_8K*Q^v-JyG)Ozg%6UqGJEcRf3|$p{u@%{rpKtm| zQ{QQg)ioH(!|M8VyJi|CkhG>i%)Q~5GkZNo0#K>^B05Xoo(Qe>8IgCj`s)ImktyRQ zEen!7mWEJ)`zjyd<)1 zZJ()426+Oxv0C*)71IOk{N)clhddn2=uZ0zx`$pxVFkbXQ8$-7=9x7##Dq=P@J*hG zK8l(5@J-aVfUxUFwKMof{7TF-CY{4@s9F$WITO=&Z2?Fm#OPi0vzHhTd65+#K%YW& zB^`E^4ZFQshscs{f8VuX7sDJfjP2i*Q%jAmmjIp-zF*fGFL|srvJ`OY2OY4riyOUKz)s1SHeLiEWubd@kRYJU-Sof)LBwsd4y}y1~5Z5?=i}h$wtf zq-r-p4tBsN^cMNvkb!(1hH$c%1jmK79{R%04L&~}4N#uu?F$=vzJckv2tpg3IuCk^ zU26Lrhm{{U95>$|8ZVz(2(Gw>kKINnDR}27DKe=t$z6@ypGDh~W>S!%^;jH4iAJq2 zdbXbLn1AUpPp6}EkF`=` z1KTN5TjtIzVts(2A`>AI70z74`5Djmgm$B%bz2$KADg&xK8EfzZ6AUOJG^M`O9Qs3 zwWLO0A(ybz0g0DsRjgmeqVn+AnZ9fq8Ginr7$;4mfP3cGl66Wd{Sk`xp2&Pk$zpDH z#JCh4dw{hLRU0yqZqz!B&Ahwvh0mGtwBuw7{heFgp`jcsqrZ1wV>hFTMh`N5YVjt2 zID)A2XK!(oWB>N8C8GwpRM%$y@mf#NVh*#p}?S zp#h`i3zV1Wz5Q>z@WbZu5WZB64B@upV{^HX?q1gwl+>!NsrPrY`yZ6WMBwGeN8o)s zJ72V58R|ZU>3eZp{^(I*dSk4oBOK7C<^eRGiQP|2SZQjV>xt#%kieg<2 zKQ(`aWCDs`4oo)*2O?CW)o>5hE5}lb27M##Q=^oExn-QSZLaX^$#%Adux+6Dn6A}G z{IaR+j3|rkj8K|Alec{#C6^{=+6}WYeV$kH$sqM}#1EF%Af7X86a6Ly_D~W=lo^KG z!WZHFq1nnqL5(%qz0Fo%hy(_6T+G57B^5Zh58;T>w*EV&C@QYfgnijkNb`na9KoKg zOTGrKFktrmZt7d2d+fl4D?Ra*z)ueyEBrM)C0*Zv-7N|0%mlq zR#?=pF<%2W?m@s?kOX};kAn=#8=_(a36x8uxbR3-D}_xs+%$f-oSIleR&YMk^q9Vw zm5DBt&3W%OnJ=0vFE;*RqD8|NhZtErf%&`=Mrg@VW+=8x`++|6O-h>z8cXq0I%1f! z#$S}1ao$U(bOLJT9t3{D;5JbFVE1q7EA^Q6pGEe_m^VFJvf%!nt|9d}0F6yJUe3bJJBz?N!+68_+N=01!`jvr^hm^1Zcz1jMWkBGH zCx3I+*v)3`Lb>=hvcOfOeP!M!%jNbc0k-k}v7Iu|`o!5dXXsi&d1&tP_N;dt#=Nc) zbtOU1?;H>x`z%v3bd@bI9{+=F(R$2jF#ff|$714fl{VMwPD%=%)sV-w-@i|)MFW4% zz85tvmfGGMhP*fXtStI??+-VZrG-_$_SsU6cZ2tvNulyh zU$gMu^N+UEmD2J8&(DkIH1<6+W9o_@E`mah8{dIx1unl2%nD|{HL$Vm;&X*9_Fytx zNnR$WSg3oTNGs?n@N66b163zn#N{iIKsSU&tTdtNGjE?Rte3t|v~?=K5>JB_O3FIo zvY17-wKZ#ka%1QR+$|-SF&Xef4^ZX%zlUziwsF5;mBTA$$cS=KV5D<{%zRzaf$Ji? zFLzZhm_X=iXBabeAWTr5{HC7FcsMbEWguv7IQ=OhAn0sLazj4_y~P7%2$>tmm649D zv0f0xeFC>ZH8_nL&&YG(q@IUa(moTH$G-lC&z`C%Fc|(kd{#{UyYKi9#n}0IH9_A@l=(0 zf(;PM4gl@ZXAg_cNwUG*0iW`(^lJWwVrfw!2&6tUjHq2=JI_#YiOE#a9F&qmqgCMO z^3pJova)r!2_5^ET0O?kld9KGw>rugRE!Lhd$y*j0=q7c7}p`&_L^<8bUcJ|$t}3R zaS?}XH$gL?>_7#@4$@93!PR)N6naJy4M{NOZ8Cn3q`tc0a1~9O9f!c+NyL=oWxHKy zj6}o`95?566u;JnSDy$JJIBlpL}6lynGK6kkANC=1vd|RSS^9GT)g5P>MW?7fwAZ# ztgRIVbP&{Lc0-6t=9$!p(KEU7F2oH}>?np;NyxP&K8Y$HaI+IkQuU&3M_oe?;uAmM zOmTqRa?&zKbY%l1@qh3{ASvxcTsxB?d1etV6Gz?^90(Df*D>dAQ*txL;dwp3fx}+R z8~z%h2h7~ZSY9-=!ddrO2#l7B*`?!9DEssqpp#B-7p19B%b4&(+Z2V*x^HM=CAcDL7O-|TGJ4@SwzO*UW4W*A@I zWpt=u)qj4}bvLmByezWRul`p4(tTkK6PG6Is~+}MloSe=ok-c*x%K2HvSYUzcu#d0++q2D|#J5y4$0}*@#YRhhmu=75@$Zu5qp0+EKSzvU7m_69 z1Y8;NvJRXUfpzsUzC}6Cb~EPu-;Oh6vu+SWo)W?O7U~ zKy-bC?e_ZKbBG+9Xud(n8mimKoZn{Bx+g|9w;bFnnf^Q`5OEj5v1lK+Z1+-6X_j)g zrtE@=-}}l>^k-4;>bM3!#|%t8@?EWv+91~qI3uVkRIzR@J5VpoM_JH}Do?84@tsnl zaPg13t`ldw>UGjL>YC+p)u|ncB+k zA!Lb3^iVmP++-0z->;V{ZufE%F;<9(%nC@NQ{TUir5#%s@Ui7?%X*@#%B%+JMR|?A z#0r}mGiW_bdBD{-EZv0l70!xs3E_v{>mkYBq;i5XS1BY1lkc9l9E4R!0bcb20w1}ph?5SM$46TjEhR3HYx?$z%l4$1L{hG-w=K@hC3V{W>wUI9?ua-loc13 zV4oL1>5H3PAMZq2(=#RWEUx0YpUN;5o>G25G`euv_(Qs}{y0poQlg3EHib-3Z64o$ z;%kR>RZ)bX+hMY2TW7kHEZe&(CSCbH-sX;ckB8VF2f|kcM&&r)Ha4RoQ*AV#zY&Z& z9uorV5HpfpavGFqzT0lt;2rklZ7QT=tBgeuXTtR1ooOt9`2(zg(JzM4qcIXGZs+I8 zsP8N83l&tdV}HV|H0X9vROO{X^D3{Ti?e%|i}ZOKUp`37PfkMy$lGZ%J}yhekpNF-G2Bpml21L%r&22Z@xTiBw5o$`kq9MAbwp0 z{Iol@#uCLC9pjgUR~u~|oR$<84EMw$6`Y5(luERR$)$>gh2f4Hxbdws3f6!5a$qte zME`ka+v23D0*CWM2qUtHRufS8V=~y9vf9XoL1L;Kzt5X#Dfs9+^sM1bi0FKHV1eN- zMyyKJ#cD+aHZ&}v6O+Igx2c1$9=P!4Al(a+LyWFN@0l~>B=ej88{MS zW-Xz~tdGi^pP{(?(q}QwV_d80&A!F<$BhSM@1~EhoxzS$^>*|h>_RhRb4+M3{Dx{! zJ^IRH#xapn<)@U(**nXqJ>3E4Eu2D=<`zK&nl!?du$My2RKJc~H1UTsJQMmaw#eh_ zbTxPvZT+Y*ZY*aENUBOF_DAM3eD?Z^?tD0nl&%@HgFexCmGJ(gl%+`{t%}w{d_fW% zyDD2GAz0$Y_Y;*c7PEz4vdck!xgt*8OMQt%rqglyXJJ8Ox!c14#X9%PtN3&D ziL#I{vM{cvb4ovBL073RyVfnf(XY1J#b(XW=k?)ckvseci4P6xL+Kt6&C=X-winYH zrYjb{jk*{4p4~$Fjd$F@l>d*dbAXPt>+*eU+qP}nwryM8727sDosMnWHak|wPDi)i zZ|=-|bMLHLXRWMfJxT4HXYXBS*FNX}3zVqFXkF+C;KJmior?c~OKtGk5VH0#7@f>} zc3S?UNK?D%cx`s^Z8rG;hK_;AB0MU5qUu5}W#X3fk|6Q+w z)%xAjJyX_XTKpWm6Sf>pl_s>YFYf+IdAN=6b}}|Ll+;Rs%s+j-!4BHLA!)))%0?$A z+eh%y$wGl2fEO_^%|H*nv0_62{Q{#qcb<`L&%f!GRZ3PEQ z6VZmcP?@ilIwdRpCvk{Z;;64m%(hz(+Hi7a!=HaY;|^~0I8gTdDD&)WsL+4>IN0Kr z$p-PSXP(z3;Udy1avk*C_*H3zQrB!n3g4X&q3&T2Ak$dP-2Uhs3Pr`nDxB~3)Tpgw zjsoZ8I@C&mZ$b>d?R)uoTNsoDViEKJKtOk{K;BLGn3HQoVwbAZ!Qxbyeziv6Jdd3X z23MGYqnEuA4DTvKesPhH-F+koCagi=)cBg|0|Yg=UM6%&c9eEI;@E4f67LuFUm7D0 zbmB=KKt7K-{Tf1oF&lcTn8J8Ck)Bb5e z{GvBmRJYt$p!8@H`JbS2QU9IFZltuQ>>kjB@^i{fZUsN?V@do(^HrN(ciTMq(O3SY zA)_|(3@!W(Zv(zELSN)>P}iP}iK>I(Vn=xC05ns=ec#n?;zsP@efhaOgf&RX3AQlm znj5Z^Ow%@m=a4LcL*(cpgNm|JD)|-Dg+^x^x+m~$z9At9mV70@OaHZcD&(Pe;Xjt? z9NY+CdzFV^z4B-qJWE?&oQOKOj0zQKvn5ubosh)SbD{INiilDg_AQ*H;4$jWab?{L zfFX6>%j7Cq>le!~<9hmOP5s_8ks!^U=?~F(daB3@dRa2wYZ!{(g=IR|jF6$R_zC|u$lF{98Y$0#*TNqx0QB)$ z=h3c}PPwybm$%^MSDck<(cd2?WRH?UE1XWWZnw2}JpGW4S8qzAd|~R|t0>E(lwZjT zGfY>%9d5~`gD+t$ON$M=xb934&n6oR2FI5g_TY!EKuduZY&*9s-*DW0Gvr#PXCo{69*-75FccmNE^F_-qpS)?Bw?BLHFcP z76FB2#Ium$wm2Dic&SIf6lUrCnU}OS{Jqs|o7fdi+cHFbnx~_;a~Sv^ier#A%7BFK zq*yyDB9oN4;9EKN<7TEUGEHQA`2}GO*h2=_(&vSh^Em%Jyu0<{p!Tn<1o!U0X2m#?-@Wj@ULA^$8TUfs zfc$JR^7^+E7%6u9OaOLHF0TJkRc6S?Q*fh6JbOlWiMYLdRe6F{AA=xHRj38dJwuOd z3Ft_&>BP*y$OI0ZI(T=?pUvVZ-rw#iHhtc{CMitp-6H&K4lNyjyq%)j$1Wi575@Bu zc_wdiaPUgFsIcV~G$NkYdnY@P=bGVvXKS(ouzfOYT2;`$Co8}p_TEOW-yHQO0E9m8 zSFhh+9^XtG+$n_>#xd6umamP!0^Z+TkYfN_=8A8BhJ{7E(CY&H)JraSG93;M)?;HZ zC(CGe~OE(J2Lr&6(rSkSBgS2WM`6(<9#enq)xb-CzEyEjEL`n8g zaO6jxB@L5`Jxx>Kzfxwy6gAE|%t)pd+DQmv# zczy2CO%MWwNT7XlB<|)KDWe;(E*ygaG^7?Z>DVKKzYag^hH9u1N9+bknVF3ci?^Y@L&u0mn3!TtoVwYWDde`aE$D)bVCB zgQPc2MLVaop_AN6?aouXGz%sE3*zdiN;~vcXT!A1hzjZG#f*>6ZHabLiwp{Y$;OyP zpF%iDtz!FKDWnJNh#bv(;5gwV`JPDt618OT;B2gOTkohDriBvU#m;`N>un4Hjb4xM zdQZ&O_hvps^G!N8!DDVexD5vXpeQAsh!JqDF6+^6PNp2QFX(=U-@lbeYgs?U+D3pC ztAHl%wiop#_>NH?o5BbzHxM@fyd^YESBfQZ4EpIL#pgr}wXpI?1xw0g#iqC-lmxXJ zne10k(W7o0F4R1DNBHSrglr(Q*jZiHYCE>joByz3Gj?DQ(hqE+&?<0oN*ZK=9j_Ap zur_oHz5BVQ^=6i4sq|M9By*08UqBkmBnSorg_lBAgz>^>=dh8%TjB!>kT^-hG8U^z zH|w&=>O=TM4bq>F0Fu0nD`LKpgq78#qNNcZlbj-Xt}?#-C7%Iy@xJ}LFoEZS~)F& z54}r#LEusuLhe)^MTU(KP^p>9dl?C@K>y%P#%TAW^d|R|CuwX_x%K#ylPbj5h*{(N@8Y3c$F^I@M(DSP{LPv3G2eL3Q%B}bTsK~m zQ5RO(9XC+74G)vHahKq*lf~VsBTR27_yTdDs#5HRw=gB_lcRJmBsRh{`#L$gCro zFTVt&$<{9(h8G$FQrpdb1@~i!6&}Diz(=&uu(7igi*0PA>SA0b8rUIxYp!6kCZrpS z;x@`lIbjij%rvPg^!uyWRnXF~h1v`bO`drQW;zJEhkDJA+;De=2&1ekZA5j)M#oGj zD1kHqC6Ao6wUcHLxAxd4zG@|85TL$QHGGvQFnEOsGHW{u*mMq=Q=?VIe=|DHx%hn# ziEq9}=f-OR?J_)F@qo`O4UDf&)4Qo|VUU|#$A_&`&mXqXET{%jB5+&Y3(xB-(FVxt zX)JazFb5#RuN!~(fm}JGIcjJhrwIcsHa5u|iL@-em@wahb4E9?y92+GeZ#gnj`%S~QQEj^k zyRwQ!>2)VR;BUdRY18ix8-f~85t5|6ojPD5Twjhm3>=A7s~!)J!3tiJWG z#|wbfKg6Z3b%ANhJcE8PN?4Cl_W^AP@q|swu7Y&7=>l;E|1Cic2*1vCqM(!#c6tj6 z+mewpUgog)JE7x+oCEy(tV7P4*|CA207p1Ma9`4G{Fl7O_+LYkh@(RTQwIi3s@0a7 z#Fo$Dz;LR8VZxG=f1!c5cUr5kk@(~ zl7sD5afs4rTbrzPCRL*H+f)6y-5+}R#pnO)bSXC1wQDU!Fo0M8`6e$J$$NW%YWxae#?_@>lN%V&K*Rq@rvEpn*L`76B4$+{K-8U# z=7B;N8UmN35$XFp)Jbi3a&6Es2G%5@Jc(*E;3Z=eFhP6|oU#G7x?q{n*i96hN;~0I zF@4O97G0;P4bLolEJHXzX7;I=gXk9&bS{gY-jjYM8!S3LLo;Z;oDfzegZn}e2=xl> zShqRod1W?p$JftV)ZS-GZiq{OI@Un(-jFB8C~qgo_Y-lgs}Io76OWST7BT3PWx-S# z0f{o7K;!gI<2$bbBcQXI+UIm2*6lUZdPE#$`3S4(7-BzyV=$QbnpC(b?1o99g_q8v2*W%9O_u6k>4pp)Ko(oj_U_CDLshm`i(+-Q1CRNK# z7|1~2d%jo_+3afwD+8AJi@gkwi;aIozl$+M2!sl?N&w@J0f9_3smfeayOPCy12rwI zcDYYKK0ho1jZUYQQX_l%1w8ONaw9A&2FtX9L(YzcLsF9m-Pe;&|MTb8_ucDUcL~d% zK{BecQR|Nv@i$Ry52E|tvpxF3Pq6UcZlO?Gq`o~(b8Pl|5dyBAQLHEU_DLrjm(d+i ze@6Sjj8;k( zZvacw+K+>gMO8~Qbia}j>YriNd?4A@kffJ!8-%LI!Yi>;UL*?d5SWs>XJ2LhX3dNMi} z`i$`r(0(G7884ma(j^7ZK(puY-Lw?^-O?H$5N*RkRW#)JdV7(bf@xKf+%B@I|YaqW<9}muhIO#O;r3+Kdrg}(7 z9DTAs1OD{Mjec}uczgvx<1b!8`Y115dn<>Bp@N(3IT%&iuk!*s_+Pxf=|9M6fJsI~ z9dkWqe>TBe?(oTd>$Qd7j3|$-HOK?*dptgMNweM#c0zh(9fb^@-Nr_GyJliq0+E}H zwtOYfJaI)2^yS<6sJB9=fryet^l#R`HkH}|rQMER|JW3Ez}9-@dLu;^DYn*Qm~=@g*Sv z;O16TN&7UlJbcd<)jryksY28p3OJ9)gp|5kHgKqmv!SL^?h(Xza)@Jmo6c$8yK4dg6o!p;dL5i;_Ow;SDhk%l|HmTT8lWHSr=@bkMPUgrp*-r4H`n zph9bF5Vjgsue;51KW$o%K#eo0qF2Xe(I8=aVh1A6!$|OilA9oKTbK&5Azzs(q|#Tn zCoh>Jzf>yJP4QhaNHr=<=fkeE^spFx@{zM25yvU!{u+9U*@-i4Po4@m?D{{YaTiNC zM1AhJcEwErpFqhtVQo{!6vPwalr5@%q}JFuQ}WF50ZZ0`)The?yP)0Yc7?ZB$O?(c z3#n5Oxp^bt9g|Ghw8{OEbJw-PJ)f`9JI=JL(i5 zky|fjUVz-NIpKDq=N-!l>=iSHbF@S*>$w0`9Q@suJ+iow$y-g=U)D#Nnq3M-tcSQ| zzO>syi0O{HlU3bL?PMQ6xit|ebyA%g%EEL25AZ<$CYACcpK&h*TQF1&6KxQ$uLSA5 zb=;uu-&j)1v({q$dG;#MYOPo`v70cMPNs~r43bJ?hpZaCVYrXiKwiS#3PJcQ3$_2( zI1Wb(>?KW65f!KplJgeUTv3ZL>RO3{$OUXw_4c4m zazdSg#SNwwLYjrHqN$BgIk-8S0&VO3BAY1n>P??bW=d{yQve_{S*@rWplE$j;^QAf zl5+-*cWtDnB*-d=ASq996E22snbnI*FVl&+k~!AX{>D)!KlIp3V8p$^1`v%sOaV9@ zBsMct?pr7iCK{S9CySaH+P!9#b*Hh_1L|sw=`ZQSY_C-5tenRw3%3zK=uDF;Q}=ObXrPkNqu?Cu~TXtP*N8sh9bc}2Eov&QU@QC zjWsxOhZ5LiCC$yL;WBRJeJczL%To)V@mZ{xvM~)5SZgTk1U}QrT&?Le6l8Z#(PO+$ za%E*Qm^k8?(q8T`!Nbx1hJg?87tgU-2q^hf>&H$iVZMYFc>+AY_Ey^tF@V4{fm#mL zc#?Wc=2LoMH*$Fr=a}aoBuB>ig(KZhrY2LRl1DVg(c&0>vpu#@dZX6j-)UA5^d} z1@Mf2WQMZ8LfvJQ4#n{5S^&5+epzG`%xn~=(6K;o3F(r2Gv}GT!NjF8uN~In^3gwc zlimuE(_G)mg1g=Khkuf68Bp6_{;}4P6WD~^!EdNaKOp!QLog-9qCmKb5OxFN%6X(zvyO$@%vEdoti&z5d(AC@E*o z%}gLOt+$e9uoJMHSg1`NPm+oONss+ziHUksWGF3v>aPsu)Ck)OA(&WHwv)IwC;xMf zhMUZYtcOnZ?qlDlg`AxYFCi4{ODKP4Y|eHW#}H9K`noN2ns=2dD_lMh`9!tj1&ok8 zln{oN1A+QkNFcIloppgf@-f&f zQ%Eo97!4?i?a_=jkBaV+uWwACft}R&_)x&rbJX|I3TBlX-622-c~iFyLDG;?;V7wB zyiS-`J&AMWd9Efr$pOdMV+tgSKXoU;$S^ynd7`6kH|53YlmVwVlyLuo+V~6jo}9X^ zH9T7@72haR>~-UTt>bjA)-uQ=8m5BVC|Onel8SmQ>124Bo&6t1Q-AyP27UW32Sjwq z(`wyPD^Ajux*Gu8=0L*_O->(b&KpO0j6y@<7?|uOl0M~~uH_x{r(F$Z?iC1tYJR92 zOve$2mQwFX1z&;|s26Ort%#@F2Sd%+XQyFm-MUkZhA@I}pLjx#tK76G&64ISZ|M!b z85}VKJAV=^kq|q50;HX?wa;nO?EOI%#b==?-Y_RL(Em1l<4bWvfg03Tu>8A0T9hMr zj-sbe0)HFfX6?Ko3EZ)&6L!r&^r*%I`k?y5gvJ>Na2)mjx{j5Arwy}@GA{jWllKjW z0Nz^-&KI*HjrI-WMU1$FfJbP4i;J(ba3Ic2m8tx~UGFC`$q>G0HPH3kb zD&HjN7JvdBp6m!|QFb2{>?|v(s(cu=U_?MhY!iVB_8pWN&!#@Qk_F<~LUJcyPXO#!16LA(WK8ZaKw#Ype2H~b~K6@Ae`)x@Z0^KGatQP2n?>6LGDC!c1-=ZC- zC*>^yu7irX(flDdxaYm&^^+Sq@M zo`@y6Y;N-6B#mj1a+A}2J=?;`(~>2D9rx88A`Q}c+m%8zD|fG8=5rTcE8*<8umbQ! z>Vs>bh3!P9OiVEyI;v(h()~Sw*Sf$;I1_F~vtc4l)6Q!ry)a2_qx9j?kv%>rNP(?K z7!fRStfd`JGB5YdRO$(!(cc>yROUl?I!UWJxfTq)Zg8D=y^?yMh7V_{snlFTU5 zKj;6m#o1f5NMmWScv@~N2K=m+4ZO5ybK7o6x&;OSB&X&2m%`G=h(Q5mZ{w8VpP-qN zP*(QTkgD1gqDH|)e29WJ!|E#gaYRz&!G3L=aK5x9#8HFa>qcXgVbUn3GJrwOMa~mn zq8I#Cp@Aq-KZX!aN};+xNVE_9sg4~&NW3&=T-Z~n4%!tgW*dzx!KF=&p!J?=WQGtrjQnv>?X*b{dK5!&pn%pID#%w-=@cIVu*==`C)O%56dc>^;49MvlTob_ zMN|_{5vF!ehdWg2cfA}501!O5;CCEeajjVdQ5g_9d8B0x1G?zx+|?w%jAAWll(AL( zUa;9|S*-s2P3Wvi|QkRuW7mbte zS4?;xfeASsn2>zq^PC-kVvMIZm~Sw;Q4m|ai=hfPAO{0kpg8S-p<53wLcYpkaV(}M z=%o+PFd-S?_aN-m)M9^Aeka%foP~kE$=x`~#O9yrNVCD-)5+%oa%BAhfz9^M%00*p z%4?$nmYd_niTGmiL==05a)l6h$M!X|3wydZH4nf=5+$2dx(wne{=kpSvCPFR5=MUON&ZeMi+J}lK z_glZ1ghn6Hw*6GFdjt8;E*|JJUs7gwHORjz!@`nZfR#x~X)_e4V(oEQJw!wtq~+(| zN@nP zdSgDrJ`tr4kk&xS;Y?N}qI^bO>M#gUY$t5s9+ko}{f zd~H#|vvP^ohKGIc`k;TE-UF5a8bifks*TX~29l53-6o9uTi#zktImxL&aTXbDIu83 zfjA~SY!pTYor-VosV3rDA0fm5x@11v$GqYOy?CUBV@#g#p+(0GCpL|e;izg zm=SF1G!qHNGK3zjC`rPfTEg}S37~qaj1J*I5hB7jz#v4ee!T$o(u$u99{;Ud2lt=a z+FZQV9Wy*A_ zT}tvVWLexq9X_X;3CN8h(_OjH0=slcH?lRM$_uFaebisR@An6_fRBlUf?gtNm-jtX zn&#J=KPSMx+Vc%^gz#sQ86SWSObZ}!mrzg^@comApmY@4%rEr)CL-bXcJG!_`XEFs zAt8Xn&gb)=ZKbnUzj}FoYWP&YrYf7=Ay0T%yjn%?-Qd!x2*Sl7!+c5bk{v5z71+n4 z480|vELOzK{M8*8MJ454Rgni+PZ&kRFeZ?>?UC8Z{^ZC3Q}%q{BS~>^g8@_)Ys71W z*nkF+3y}_a^(X(Ki%$`*#G{)$%Ck=eSHx6}kL&=8hXRaFs(n8!S+a}1G3qkv9NohT zNP%;WICy@SMS?773b8xuwd4GInBkCzhhQ)?`^a9Kz>02)HwXgM!T=A`} zR04|WZ-_7bxWYvPq&T;MB3CjG-92>qX5vC-MJ_!UEBr2eS2&e~=n4RhDfx&HEF`M$ zkjqj}*5jQwTcrd{{$w0sm@zC+Y)^=wl+IE9yF;bf5re8fWiPVxEtDLIbYs0#E1kWU;wd<9sR=~b&} zXj1o$jjZcxA_yfQwwC~lr-|^)6kHsn06EAU3QwEe)%qvK_3&yP)K0wwVXBH5KS<*O zuNFAM0LwKn-8};^jN^1{6g?|*`Q7sP;DguDg2Nbwlpdoiziz1tId@4Do8Z2F5jdT1 z<%lp?;U?}}8o%RsAm==I6ux=GJ_byM)fx2pt?BS0B|?sy}BefI%yb136D=Rhrx44o$xB-J3wypJ!sLM!R$^NI4X?SV<9FIvb z`$_d(BRCm<+tq+pz-R(_g;G_&CkM2?-W5( zY6T9QS?U`G(H7f>JmwfeUqtjg$@*Gjnr??)9lB#7b%NINyS}FwF2x-rUd%Zgfr4H3 zA3X*YwLgb_s(~wlTj{%zrPmX^0GAinvZ}6+Y+Jroh&+>avi$(Cq%rUyMKpW%xDoq0 zgGL)L3}3)@HXrDm&JBnoN}(~q*vP~tX&D&ak1Ei)AY>BBv0{(_$aLb`IHaRaxmwIQ z-5#UNYx#pP`vUEZHg9o!>`5ITzaxQbvWrN*y$V*}Y#L3cpNm{(Zzx}D+gBF7gIal- zswfl1ApLxBa6S*;>tgt~C5h}7J)PkA)8=yp6w?7UKna0GxbeiNoT-8ZPuWV@Q{n>g znI2X-#QdM)iM+KdVHWCZ<2s6yi)821RxA;DTd-s!i-3rFzUpAo9V||dMhKjJm^G>& zs$e$>ug)!xYp9-Z;?T^IA~q2;9X8+fl?F3BEJhDv0kGbNeftQ8YW?0L!1OfXX9%5} z0}qJo4qOVC&cuYcg_*v{WK^a0<`kW!PL)h*@a`z@^-Wq`TejsO?Nm+NMiLvqE?S;! z^EFj9{oCl7v5Dp}QHbiNmnm6>a;;?+V7ZvswIX_=nj5=KgP@>hQo@3$-fM=zX6Yk* zyjuMfJ-;a7h^3?I)^@iRe&~JGyea^f(hPW`)D>5V81tT!_(+SQ)&0}xf4M1IhNL~% zPq&-P%7+0qqdUd(iDjO0nIz7t7`1^pw@YkmNaU=?TFjO_Vjf4eZ@ulhcZA3uf-@|OR|T}$hZs2_m(AA4E=4%{Vs=}=qvw* zX|xlS+Kp2{8NKd`<_`9gQfe`#OR5Iw=|ibgOjA5eEG>;k5fecs>?8L{{2 z`xw5E>M4?wDQ=U$5p?VR9V{M8zU=@3V+qc<_SUKq>mYRIpivu^{b6O>Kz(7*fmdG^ zWqKOwjFKIvFnEVI$v63k1Fl7^J}_-h-vdpb#7_l={H^JVo8L?ck;6b4y$^?UX`+*I zGH$nK(L1q+Nh*b`!r z_quTyE6o(F$6Q=A$(&BlCZOLWWv#qaG;OA&lN0I(8u0!b`V3F`6l>;Wh*B3y%3l3% z{;-nk%XWZKlP;TarHOzGCX=UmlAY=`SiC=LI&_T;c59KYv$qM#y5EzvOcPM5%( z&bvinmg{4f)pxzpd0R|LS-ZsLNOG^Xx%%!*jIi21xw^lW@^evE!9Fx|joYvclLI{P zBRy38$hW}L^ZkJDQXoQz_3d{}ce-WWUI9gcaKSf7n02criP4nSg(g$;ca)g{J7`{V zC6hvo1#XQ_ZC+wr0nk5`&@PqpVrKjpN%`t=OmiKh%~-{7?Ng+2V$`5sYNpcbQWUd$ z%f@X6IO)cA%IELcew((;RNlay-{wz&*TR0yNHvrHh`I%gabL7QC`3lMLyXwy@~4i6zfG< zc4ojPlV<_A=Gc7sHaY>k*F%GrZ0U@5Xz*>${^o*LkINZ~KUm4c{vn?#U;AJ{#d>@m zL);2~%|WyPM88bafzj=fkXry6d1R0PO7zB$XLC12_JUBAIwRWw$qiEvTeM{)AJWEn z?{Ay+yrIwweukPWu0ilw&AlyTijw~}biX@nekh=t$M;YakqLqOxVTQUYLHMte_$qm z{zgzyq&9s9J8=BI7B2hYCjvU`!~^G6!AknPE~b7+-EvsJmZ*Kzy$d<|kgm=Kng>^` zQ~08r2lpn}eXP(fXX$8X5Uig%-D#7gUzN#`r z;|BpG2$HpI*rzb)V7I^{xtH(GBGKj8dC{6_6%F_ZUxI2EKKc_g503#-e}6{r2DVbX z#MrVkOec;kE=PwWJP$F|IT#2rgj|{`8vTA~KZ37{p*7)d#%89mBJe65hBpzj@s)(O zRbC#qPuSrvW)Gb83PTVOJ9rCU?WrfHhsXz5C|V|K-k{kDm@3h^v&oMAA=EsHzxC)5 zFB#k*Y4+)=36O&LYTbXWQ5vc1zab5&j8@Da1!2)IjVYI+ww0f6H|g3Ud)7_gtaSagGC4k zrrnNRxu|Yt^M8YTETi<#XqlbYYNNsI@u<)Wb1?yrG<;^!L}!K7?Jhl+Xb!m|bo2G( zwQZ}^{2t;m>%8*@TVbdTy)5?Ym`mVdD(iw~)dbodOjgCLb5qrGV8c0_-=iIK+O7F_ zxN(V)*^h2UghH43E4h@{rh$!CPdq3J1Tr|J@b}pQpyV<6k-pr&RcrrQtZ}paN3q7m z&HX=%HTfFCcEs=#Z_MVPN|`19E&4GUc%ZzxHh9o8@*y?lx?~j6-;rggzdA?mWBd1C z4_Ssk+`@LnrdA7x3;JIPYR?7oKVNTw#nt{SpvJ}b9ah_BdO5q6paCAE#<}%<@Z&a% zfU*N^N`mXYcN*~Bx`en$GDEGG4O6B2bB37muwPniJ>tJ0kH}eRp_O1dEQwm09Fz(`ExO2r04*e!G1CBs~G#es-g0G-up?{-W^;>{?l;XU55+ zZ}n~>tVK?+7dX zU;@2B2%{C* zGE46_hZjJ!T)^FkUfb{oF(j*tZIWPObW$3(1C!Fch8sSp^bQ3MRr(i6m49+foHOM0 z3w*$$Qvs+*ZD`X7BlZu?Nb*85)CUUrzSIKlSS7^$9JH%M*cdL9n7Ni|#&J>x`eG`+ zquHv%qESk(V$Tf;oBO{Ah1fOZEyrtdh`X@fYU2RqRk)00u?=j68makIubdaSFyxSk zE{3d>Lx;j@+Albp=FO8gf8(~F)yhNXd77Mmqw=%n*){CH@6>mUDTZt~?$h&yFk_(# zE;6LQvCY_(MGKH3E98^Lg0%G!^ob}V;ZJNT%m9YZi+KczT16eHi&1(MW1A2p9_Nk) zRvZAhA8bneqqeQl9XEdSX;LYjH%Kn(VFN+fiO39~?5x*1hI7RsJ&InNsFXJwK@FC0 z>J?mlN8z;Q*LWWd{F+OYh(a|#U_j)9y`_E~d`L>j_MK6rW5+5v?xbcm<96%#x)yb^ zl`*$KFpR4|WS6h#g+q-GyMmI19D211lY;=hiGk0bxb8_-H85H-wyj9W#Dp=_;uv-p zzwNfTJQcPCHVq9Zy9icaLTrT=_tSbm2wZL#Z_{B^8?5F3kx;er2t4Gu|89Xr*x~my zNpFQcZL83(=mn26L?)tgoI+^Xqu>s7)DzdF{b8L!h}xmZB+K6iEKh;MjLvHYYia;P zF>i_{6ZE0&$KS;m51`4(kdAsZqYI^puRnQijFI?TY-(r26CkhU4Oc*P@o zSy`#;LB55xK;)+oh)-msdTUI2g+mU&cWqv@Hhjgr9rz|Ar5psGV^17b?Kb|%b=YI# z;TdDqx*4i>ihpflqJ|d6|8g~%TG>rUq!=P?Phgn`n#MJu*IvcCmiiXHOgX0)&nlU= z8O2hBI5nlaOa1MXh`y_IjgHxUdSqgdN4ZnTzIJxtnCg<~yNr~L7=gH)tNH=pPYkCx zaJ~~OM-R9XpD4Ho1k-XL>1*E1o8JjXmW>KL85;=Xv$iygAN+H+(%QD89EQI2pH9J< zn$>yL`6b$*VJ>WLEf5R@Q2GuW@h+m>5-+fEUGX^Du5Stb(Ia1-hnE&(ztaI1qJ#~) z7NDtWcl}-8;iA+!;28Xg6Wzq2X1e+#+P+zTxKKqfd`_Ubc$I>C2eb%~h!Dg=Pu}b7 zUKG89)hbz!pNT>p0X6lord)xUZ>TXz%wKL(FzZKUU{TLxp9iynjx6-oOGPp^@tA&bal+Zu4X)9L=Od^s}DWH=xU|)}um94PJQGfj;{o zg)|q}X*GCF@N1nQ43l)H1qyeMAvi8r*|Lz5=F-8yTQ%iZ7{I2gjdT!}ImU9e3XA{R zDh|ch$Nktz^xh33zBHoy6N;>*2h8svSM3~5_dSjMc&3QdJAiuMVQK8kzKxHfH7%N3W}t;fxA3mM3!B%Q28Ff5&s=pqT(O9U(B-fef9^9x zjs3q#_5DfC5*Qvo+*MiXj`5>vUxxal^%6e4Oj!Z#6mq64L+&CHTEV&jDxx%n%?Kqw z+M(oMKvN4hmIIjb%Z}B&*{89??k!+L%lxoApT(ETc&DisEy1X=?Q^jUbuwWG(arEj zyHZ}qqS&Tw=NMTVr+3?Ul=l4=FLZl^XhE?(g<7XFL?&6CA9HTWoO^!1NwqpGT|2wk zaZI2iCIKcC%eGxmc*o5ov{BtrTo^qUpE~-2y~`4fCkMdSPMwk@jQwU5uv6Djs6~F^ zh$^T-^Ove=OwY>nDg)QJ^ILdd4bJ#I#ods0d(!v1a06RK+3$nLXcjtwzskb-O;VlK zJ*Jb5Khv=1t#G5ITV<47T!+x`BMjq#k=;n02<0Yh)O$<+bdxGMADN~(0ZNKU%8dZ&0 zI%q$^^fv6f=IP;n30ecYiTNwgJ9mxd>HIUkqsV_591ul|Qrke&pDW ziu00Q>Yyes^XwfFgW8;T)KTjYIH`t_^HgxOz&ijp?_gHJtRQx%-e-*;_v6UP;aCn+ zUmXqgyrNV5)VbBP-hALoId@UxAzIe=-LPu#%rho2g}nt6oesL@|GcIgh4~u=c9{OP z^$WmzLh)M)KNPF58@HvZ8$y<)4J z55a~r!|A9OTq!bp39afUy7p3hFJWYX7rfr)4D=uMAj4Fw2TZ(l;_YBEo0_;*!F3{! zqEq&C80t~an9^QTdWsxQ|RgzrSUM#!R`9<+8&yc%0 zMI&f*chFm+|(Z&l1pi8W~<0??n$oG$zGDjD$qM6~Ny@87Af+wzkQY z|76qFlGoa8wU6@r%giZkJ2<<+m-YgHrJ-2et?B{t75%&&9TcGHvWu`V&CL$B)}Q#b z(e85DVbR8bhq6Reh?&OO2aCR&n<+|4N_A~a^Or$B`YsKIf#T>xae}e82xDl|Z1|E6 zdYwv#ydKhWZ1cW}adO4W$UDAdZTRJ|Ei$B9nd}4O&}6Xg;Yn`3pT6?!Da1sGf$#MN zsKM&mY$W`@)jj{PhyQ=Hu!5-AKWJe!?&MAiN+4_eA3BSKrMtPCtqYL5Lc;wY_;UqQ zcMowJQ#TS;R?d`O1QIL`AQ<_d0Yor!{{x!+k5>v*JTct={TX;YMKwWNlb!7!h1Y*x zy#IiQ+5hui79d~x-$~2=Vn_dP_K8aZ?UU5`choXZ$|XE08qa^wrvJ+}HkK4(1Y9s~ z4j>8{E2TCb0RY5M1M$?r!NUy%R{z@o(wRxv*@0kdAQ$NHxTr{ zfY$%3c~U_0)OG*eJm4Gs3v`q60FQ_Mujx@^{%O4r5zEE_gvkFl3tl5pPgJ}eOmJ!kDRsiMl=7K7UhE~!`H zE{ucIPcO;-0Zp{`Jr7(dkC32=@!-0i7h2Esxv96>DX=$LiVffuy50Wy5*zmY_7k7F z36u^6i~}i_xS$k}gbt>>W_;P@7fN;V$hBsh+pQt95D(+njLj+oYV-I-WDnr&@_9LDE3u^>OV09DhoEQZmWx|*6tJv*}RnX>b0 z!Akf<-UkxX=Z$snzxnw;Fk@T^H#cW*3p0oRVpq8U;Z(Nfo(})`Fgp*kqpcJ0@I5OJ z`~T%ynFBfOK+=%~2^%XXv!kbjhpmf)Zwe6!(4GFJ_4AJ!vC0-6kZvrXY%HVhiqRwd zJgVug)ix1##RQ=^{?iIYilTvK?4k(PbS8qAd2?WUx-(~$F=th{baQ)_w=CzEeM}JI zAJX;*tQGk=afxeD5}dbMNO_=Y?pf*UI@ZQw+g7g9^Ur@-%CAhO^=`5dJw~ znKuC=Dwze*WW1a9Yorbve-fO}Ni@$ZzvA}hM=@~Mn)32Ao9C3K*~{WcChP;s4<;#G zC|K#fOY$rhRqydhmj0NyIEKj$gU>`p5r3vtZj`EoTQu%*0E#Sf3b=%Hpjjk7ld$Xs zf9nT)Ax2zUA4g{Y3Pud(qhqEPY;<|Ox(-n;loCt02Nc-jMPM}{=DAekh}th1)gly0 zOz~2+dYu78c*uHstC;0F_PpUiSMgpQaPJip&-y1-V&`Lq%J`+5TLr)aL@M8G1(9@@Hr)S-ISn zRM;a_Wo5ib+>w?V^dvbTKlo2eZo{nIPuG8)>|7Rouf5W4=3*OYbci=@j@;bX>CtCY zMQui7a5)TKbRV_z_TGEFVcaaAZoKjA^%$(aQ_1l=lz$X|CdKIoBqFX0c5)U zr|duHo-*8?tQ+{rgE4vb96ZirYN+LA@!fj8do7 z?4cp#x^gtdcY7sSTs$J1^?F{!1*s0cdjH9avORJ zdRuyX14k2EYZKFNF1>#~{o6HtGp|{@IMJIpxENR`NGFM5bNu^_`yVW6|NV;o7du{G z5+yK4JONgMK^!UIe`Fe3n3?^D-2WN=qtMy@KW_X__5a@&|C)=TGrh&P7c_G;ur{`E zvbQ$y_{MB^cm8&qP8POi)+YZU!{Xn%0RR3G-^%C>9Sw}EOq~DG_AlN4HU78Yf9Cej z1rzgczv^QDuQmAZv9X=of33y;y7a$qa??1BtY`;XSzke@Y_ zMm4^W<|v!*7`=rH>B~o~iQ%Zjv*1sAxIyLvm5doKECiEW8zJb4hBOw~e$-z|Q|ZL% z)z*Po`0e$_w?5mvUQ@g*XxPHDELGl|R>MbC>%M?LF2_xsX;=!=^NL)wq=S-H$SLbB zb~M@>w`rdoWp|8aM-HQ30}j!ndSbOq$%=}WXBuammduU6*Tj<)RFq*BW#JUv%*C1N5#YfTgfS3-)h5D-gm z_htZ~D_{GzF@qs{J?;&j2^Ig)>>PEQG4>I0^=gx0%BcE;_gdE{o>WwN2DZxU5#5Ve zM2QBh8dB7x_S3pf!?m}-zLLJGB?fa<=4MB*$qC{XzCRQ= z^L}in?qTXplp2N$)nLZx;Bh0rO>@xE@!K+7+1;MIQmZ+rqwN`Lg_@hU* zH3{*N^}=}P+$YIZEL2SzCX653I$3Rf3_gS?JsX*F6uhN5t5_P1*VSDsONcWkZnfg&Cbhd9gryc{SSwB??-T%oqDs=D;_S z5mr9c3mJ;7f@qx)DMp{IYwUOaiEBmXW?{*;cw5^Gw%T>T5lCvPgF05ou|bt2l*Yzp zjPOSMv57)I>!38e+Y>Uk7Ae4<<;|N-9=1Aoi`HJlPz8|>xLE)a|0YNHZn0v2KT^AL z8lSeQNtJ|^mB-irIG*^8h)V@ve3*hn>%15G9(&UsphQ;OH7yQuCP02VOQV|PSWQ{T z&RJ<(l#~{a&b=$#Ww_#Az5_O|Mjx-~^3ksulQCtMBOc-3xblY4fn%V8$+kqf!(-Stn%U?ESDrd4}LD06RS{&pfCcs;2` zX*2fQ$!GzWMhZESYsdYB)bxm#77)ng{nbFE2!|Ao89&)1!o1#fL7_8n!!i=dcQ;$I zj3gk77B$C=X%K3vTzGbXkl-YeTKo90yJ$?arp~-bW}OHi3Bpz!UN3s%VQZPO5tn2_ zZYY%NSB+XhCU!X_WQf#teKh*q&MYP}5fIB3ckTsESRM4blFs2d|)u zylryKvt}FXGeX&p#wkK}nkw0h(8W8*`MbsNimn`tL#fmLC2b+#FBSqDo=^@MJ#x?W zE-%e6KjUP5%KWM*L;zDsjNN^ILaZnDodGzkZeV=@^5An!a1W4dlH!5B+jAARw$NKt zbKk>i1~Y$W*)sy<j~+j`1->9|X4eP+0;70$4(#0pb)w+r zmAi-O`f>D{@v#;VC#jZEtj=TITpl4_9=eT##laWHp8U3lS9mKxcWo;`x7VBcHX3>p zYSL1R$vTl-?me-pUkB&4AZd}plXDm1IC^Ls5q-v3^Av>_#WFR>wa4{VpqATQ*4{O> zxH2;){`$opY+8oJy5@iO8^uAA7Cn>z0ofu$xi}Wydk_ymsw)n?28gmfcs>KGSZ00? zSzceA(hDZpq3`=-D~@pvVS)LDESkJ4MH4oX_aPmzCdh+6SpfxN0e7R64Pf_a#V_qp z;ueFIuILVYs0i)cLQ3-!AbR&c$-85)s5#WTuRa^Y5x30WK{>~qzp{65@yff{^^FX-FY6Q z=DiFM8aw!7;ahRgo#G;jaE`gF7p14CCU}FgLin5Jxc&G_8pUDp;Ih1IU&;QI`VP6i zjKKr!o)AiJ=iIAUk0;;uJi<0MBF|mJkis9q_|3zQ>9S4ghj3VgPfx{2L6;z)?k}ROP|1SB>;s5k1B;K>*qG(3c z;%sT`iT|$n{n&ZG1^EAwfrl1~%*CfI91}+GX}E_$3W zQOF3c(5`6XmK(0fH&L{-KA=cG>HJ`3Z|<{8aMlv9l>gWPSWHFaJp=qy~RPomWDn0A2WU1$MSb@n%lF$`}G|ug#gm~EvxP$&U8kt-!3GnRE=j&4ZVh^XnoB*kzTE~x2Z7{i;j2^HV zLQdzzc#1 z=v&g6UBE&Dum8@D88Y}GRn8wX0h3|8l!q;4p-0Mv)j4?DK#CzDh{p)-eKpU`+2g3( zdJ396v`fyh3~R8~+8AV>iSVwZvONh1{?~d6Tts0D#=zfcgc-GafYNDGy4;3Khu z!96YhXI`w`wUp!7f@T_2h=PXBqdhM#Gh12JX8R{`Q+#N=#z>A zgVImpl9y1?U2du`D8|I#C^Gef?}jGz@J@cSxT7nh1VmMKAUzy;J6I{w5Ny;TJqEOV{gX?bc(WI{?3>t$yN^v8@8F0PHj zq$-Oz7;uWsfc5Y3P}XSzo{H&?jfLH(nnJ5rqQ{*oK&G9h+1RvV#`zHK z(nOk>`7q5o;HvO%RBDQfhRw)}I+~kRZdZ}30J2zO(rLvn2aD_cm0cgE*AdWDG=L$5 zQ7?;Xi)Fu|)z0^`S-a1HD8fc*>?k`(|r@DnR7vi=5>=%u1&6n zmh$N9pP#NCRzhYdpkGqaZ%+Cy-QMQ%N2rKVp#lWWV_P36B$_-T3PrpGqqa93L82}ze{Qv>~ zs(8AYZ4a1(um;tGj##Zu01X>&^X8p^*XIY;&G2=YT3SaeTX|~670?aiwAyRpSs18F z1FWEcsEgzY9jP&S^Lgu&pxoC;g^zpYqy<2ibLY^CKErb}0_iSj9k$&6p%2PT)WCA& z)35IzND#FWg~cVUh{A##2Bfkc&&e)eMOECdSAcl`K~Bt-L%RD2tN%IGB`jEnE=S5@ zq-D(ffMn$lk1p*{e=YaBTk=P5R4G<(&iMiK-rQEV9xFb!MAA5a?s-e)i(rHBgsVZ$K$K5xHFI^ zFAU$(Gh}fB2n!M$JQex%!&-RXLa!UwkxGKFf@lKuU}mT$;}RQ2h!h-`U;~KCx0(}B zLqd1nS>g`4lzBJcv6NI8#mly{wl-H4@BM8K;aV0`lli}G=m(1VID2;%F4yV<3LTbO zwQj#$90|V75Vy(?z{>?q2AfKb>#M##VV-QL*djU#!&pOVhD&yAbh%o^B7%sj?qbfd z^W0$3w2^3VcDbXL$$I*64;3BY%YAJ={_Cuugmsmvk6Z0dawZ(Lq^!JdbY&0@3`tm0 z)q|)&@}Tponra+vWPl@LXN!lku%*GR&@2ntf+|-RSQ>EyF!I1)a=*oW{VFyQj@sOt ziBMn1NHhSuAMyvuOV9hlCm$W}7o!FiWGL#lUt9=j4f7DQ`9|^Y6(3QTV@V~-nuDkO zwq(&VB))tsx?EgMRB|7G;gMuBO(<vdGabVmS z>aR+#UD{}TZCT+Z$g|kYcxx5k;omEwMSi1!#iF=+^Kb zEeQjRRL@|2XpyXT{xJ!Slp1<-3e&?5Ke~GG1Z8?4GqJxP>!LTosVF2B9{l*Ap6osn z3~6zl{j^{B^X@XOG}ed`&thl$>oDdKOBoA*RBVt-H;^}>5e@kBy4}3KxNHRE%OCml zdAIJ0xx~{xX4ZZtQ`wUcCv{u=-D~9{P5_RFQXD%|Ts|Smv;I-C;R2#<1WxL@^xFH~ zM>jrQJxSbq2nbH>nyw#ltfxAlzdh~K>f;yHT=3vK{%D4ER(zRul;O+L=HhFDZm8${ zVr=X|88uWdb)lxH@O5T&Y4efnl9lDxUMfmj+49?az-XavsouxdmW!`S`j^cCpb$23 z^J;%Wc@^#%iEc&X{Z+)3lLS!xfO>}7uK0=$3=EZO^X}RqEq4;PQn{UQi46J$x~T=_ zL3k7t4m$WkF;@+Ouv1AY!9YzRp-Rsz2Tw+Ke)sWg<86_ZShJ~ZvSbt%%wIK%&1fc* zDZ$I`Rn13xOAvN^*v$H7aWCEmcW35xZ%s=ng;5RRWPO4#Axj`CUfy&RV9%vhY1fPedY^ zuZ~SUX2}O1I;PQfEw0q4`7yc-mWD6R6fePrV=gYUd z0@FNov{l{AtYu^k7E4olk|;|OFlvm;M>-xwF_-bOqe&@NH!Clwhw2g&lJg|wA+@Ts zhI$a1ksvshk-JuN)fLerS}_a{+ny^y-Fv_a)n4+_^P(G`2{!1i(2OvQ_{>Xcnyq!Q zwgc;A>vpN&#uuueNAdws2c)bp)k^ZpU}qF3s+Q`KcfV9wT>A_b|3J(2ZIvA`|1#=a zi?@Oj+)=%PU^-lPP`LVfVhbAu9u>DdB1fwt=2)58T)v}NA-x(Iw8~>Ql!Q$4O)IG{ zfLpRG75M2ZbqaCjUntmV*8;1N2En9}q$FGqdTuaMuNdG;8o~we&%C-OJd8?JL}At} z5pHeW=@!5Z-mbIa7_Om{{4Tz&TCGDbCL=pP{s7&AGh(#2BKP=Y&{VA4*F{ z&yPSUFk8iht0fHJW+nan91HSoN*EeVC$Z@@se+YvR;3*k%vnx8cnE<5l%1(jW!YWl zA2^8khbfxe?-0fqpTK^AT(015hV;G)ay2mB$Wtbr1XV}w{PGyvf> zPrT6jvh}5Zw8N%lu2VSV?+nI%6BL-MxVp&y!dT)9QI} z>~&qmVpoeI_W8IZliAob%QfTbiMifb}f&Teoig8#H zTC;eo-9Ta&Bec)YB~GkhS+EDRh(7h#_F6{DBxYg23(?9ex}W$RfwYUBK135iKW;hw zzy`%^YHIfWpllxW!MSNe)}L7d4JI@^=wC@m;Ner{IKQgKtE%5nw%LufOj(&F+NcgZ zM(_)s%7jYH&f($ z`ffcy$NS%yntRU=&rP3wFq%J^klsEY``k}C2p?M?i*JuDPSRW*_O{(eSy{dt(F{AE z1*)(vKLtX*Sf)TUb19QE2XlPtab)Mk0NH1>SlDFL8V*55B*F zZ&KP*3DdlBa`jc-=^1w~Sft&3N3$adM7eQnSCrOtyol4N!1GTf=`X(|m~lL(|BSdj z6vmYZce?@hU-qxqs0v`pWJCn_>@x1U0A%qw>>kQ>$Gl!hGqLl{_|ErfWDQcHMo*aM zkdm2qZO8JC(7a`UgVPm+Pp29)eyprS7gLjl7e%0#G)Z6o$%1%CdOg}|p+w96 zCm#E@aH=hd-H-LXL~B2RA_=y!DJH1;N8EBB^Z4K|6)M#awfvXbt5N#=vJ z85@|R2`FcT*ToP$Zjx$r^vldGb@sUyphST0VR&Fsv-~D0a|5T_RumhLa1J1%0*Z_v zZ*@dE&jTsdZcF0!Iako<xiy4HdR|g4N ziaoC5D1eT{R>GYA(Ay;XAiK^qRD>6%5;Oe#2@5?^_j7rsskWT>5tSv0sY5~)HVDQS zunXmMZOL3S%xJ9u&5-MbHE_|D8$`vjug>Pxm4ec2QrS z1}xJN;DlYG@d=-z_FJEhJBZZuZ)n}^UtgS8q4}Yzj1qce!*Wzd5h1Q24gpz6tw7Rk znObv2g#(U>R@<7%U>#a2rN8LlTuCiX094uh-xA;oD%;#8wsX!%yL6^D1l`rOAoUTX z%!HW(GF5n(qWy9t?pEejS^7JO0W;LDAPr($mF4#57qC4SG6OakS4moAh^4IG0In^9 z7et}uUPURy6~CjAH!~H5gdYUNNf?0sEJSlej6)ewJ50g|TxpJq(Xo^_{?$C!0jy=U z#fF8Z`rBIk07Ih9Vp0L~Qhs8IaEvcbec$U%>~R0mH>f%J@WQN4Eb|_J^GTW09s%5E9a|0W?HI$!-@~ol=p)i!BJ!@&@ULd3v;x zNl~0cAtbU#fGK5~41#gkuL7kf6N?t1Kcs4C*UQ4eIg2~UxXyA*HS(#;G2kU}!PDpk zWoRRSea8)GP7J}6Y$`4duJCtfNUP4#8Ly?5`?*D)eQSZuVj{0BV0R=&^zWk&mnuP#7)={R*n~bS)g?xv6#2;oDMK%~#(cwaM zdjdV>E?fJ>knlx6mb`quUs?~btV_UoFzIlYFZ#jD60als(#w+DXj{*S+*&srP$YAP zJ(K_%mJYh$Wu1hEoapzmb6d7&4O*Ze!WGbURgJB3RcJ7ZI!*mZfEs8CiwCZf`k%^H zWX;e~6cP1QTQvI2knR~py6&7vV#x1y>suw$`VmAkus}ay^L!)6wrq%n3m=;D0 zTI?bWC;EBa6`77d>2?U4J>aqD4HDm&7<5`f;DEzq^hiRcW!J&>U1Y)s*Q7Q|E;I zR;YxT0S*t$W>wkknkjY~<47eZ9Xo`iRmo=b=QuVZk_u}KfM8I^F$&3wLlGqf{CRDrJ`BcP*-jP_E|t&Y#2?JU=li@4wmTBq>kWp9=H|rgwsN zJ^2;Hf-b^NBI~;_ZvFOy=|I{8Dib9+vG`s-@usTpInjx5qT7@ZNW8e}#t16Fs)~|m zLW{ZhI86HA06**-BC-o$`jIwu)E=l~w4j@*`Cf-l5tcaX#fnmQBX`j{ArR&iE+#0L zR>*U_)i``N1`o?xLlN8qgb!uAR8g4{5%nYKR@U<9SL|MNHz{TW9|=dUhj|bhKn$}h z@K~rIwAfOiP&qST37CaWj=_{f6bk5T93GANb}j}g0Px}v;*=;XKY$rr8TWn<`a#w& zI{M}yWpB1NdS9<~s=z5s{zhf31dVhD*n!u(YE{8c1~GI!FR_3XvVgBkA@~^+RVb>d zk%q#M0)|+3B{YW~=kM1I{8av$i<&n2;6`q8v_;Jwex=o%h_0msR z|C;Xc*|S^ca*drfRpVXc&6`4^IFuU)g0qu0&4`(NslpAxIzcWI!sc_k{@-;UXS3$)*quOgNl_+weSuU#kndv5#Ne9R^^@Gb#?Dk zC9A%uz$n#YaQ{3)CG2_Tnro(gVe+$;(zmp<9wY`|4p@?GR^hrfRQ)oJH=Czbhk_Y~ z=?wMEr(3?z=cVk~##258rx5g40swUJJr(9XbiCdTjGs#98WzYIo(h~V4s~qOhzlglAlLt`5-#w`6!SZy%PnlO*pH&`U0&~6fs_PsC%|sf#gutVFqaow3co2=wDYBZk zjNC;-mPGP9&7;;=a2sot<#>T-ogy=2thQ0*0!AFx%J^L%fbmW%6E zXd#H*OlarSLB1pPIytPX7VTga0*`{5IF$Av|c;P!T($=Tq;YZJ>$SAOH zGIOlZn(SyyBNQZi)QYYgKEkRb61$vwNT8}cw{n7<6P@5X>J}KUkffS~c1;DYV?53$ z;-f5z68EE)>7!eQ9&iy)QmWB}b?ctu3*J8~wk|^?OuO|U1s}B!l7@Jq9ITz*r-wH| zC8Hs!{8ESjL@+xSzY+>6O%$9RKQqHj86Hs!YB&w@C@+7$ zR;3b%J#bEIO>v3E7O8fj1#hr#v3vua{vAELy^hV^MhiXw0gS}LV;ZaK%4~FauPOTk z8x)h<(TQp2AG+~>?~v>Vvx}@L-3YY`tgMB{QU8XiwJ{0(eMX!yj1nP9{VrD+vOr3?$UK)#?y?yx+1GzgX)atHTqfr)cX>oEGh0TKev3n90C z5GK&l=^zQ=07m2vB(bA(;6=9a%}J{MJmQBrW2xphuu8;}ioYy744^$3|M zt(692j~`mwJh#wI(xGF=;sZp9)9z?jmL}b*C(T0oE}+X+oMSiPtd4XE6!LXmWKe zgb}5K+GOi#un~bZTcY!oS{$Kt%=P7dKJS5Yd5Z_>BPdlL@Vazj+$=ZI&*XD`G*c9@rAC@{OP(!~8ot!%LX3rk662_{IoNbIE)PqeTXtut9Y(^lnJRrZb_6wT8q zQIDrQL#2#LJyNQbsTfD+=*qyAKJJ=SD++&~Z4q?QRY zm(>O;=uEv8A>06mEwLxS2^xPWav8%CYSiQe0s6$imyqTaQcIEbQhZ0T+tYMqy zMNmVc?(%GmEVt!E3?$NrjLBBDzo=^YMMQTqZ0Hc!R$5FTU~>mM&UK_N?u1(TNyJ@qQ!>pU zZ5d^!&<>OFk>Wei}Y@{|;9%YlWfF%$gjzx)6-8MI{2O0RoEg%dTj+q}x~Cmt%3H*R`ydD<$n*6i=hm%v9=g8|)402IVK zJ)keExF7y_8#LiimOWp*-ZnIZy^yM}WW`LJCy%y|U2~qcqDB^!8i*7pp!U(+h}){M z(1HSI>IV;h&gY@2$W(Ab?Tq$CkSVGZcDUyriplL>f1^&F<_?-7x)8?wMD<(1*;y2w zAC;UwpXwMOaYGwJ?MHPV1c9xA1`xXSR}2UCD@;J>%)h`x6)W>cF`~xJH8F3*&|-j{ zy+t>}I+=vl`%F#GDmoGu>rZ2#np_dhWyRHo;dreaYVn+)eQ0CLGfvCt)bYsjd7Fxpp?^{{bkNflt+AS065e++ErRx zr>5vaSz9mjj$Y`gc~w$xk7cxaJ)vT1%PZi92sMghTDgDEZ%ykj=8QK)@kA|k^=3Va!)OT%eV6>X=95As&0#Fjet-Yx25=x|WPX5>- zoKj+d?vK+S;=#KNL54*|!pGcPNjWF+wJZX~IE$VA4+EFLp5?7F#emubl7;Gi<OX72RwkqI=GY9D=-%pT2USt7zV6}k1Ta_aeXet@x&2n11r7eO0Vb4Zzw;i9Pp8Fk{pca3<|zws{s`DLCwx-mzd8h_ zhtQwDKD&Zt?BM^w1i`IW{F4XFR>(l)qGN=@WFmPdwq@4{WC;E#lg(xfyPsSplf&j2 z$3uQ18K^sKSL$O=DB!@?;XUJKw}J??32cxuG$suR83W_-D#LDQcv$WxVOTaS63W-^ z0=s{|c_0{84+|B5jatu2VgDR364tUi{(d0X@5LzN9w1GC+R_dM@dG>%ETDH92Gf5B z&0jxJ;3i#wL6!iM9kqY?x9KuEAoK9&%*6g&XSyB37KH#Fd< zV6%OfJb9&)(dPSR7wV{J=xgw!7mY4;7Y$UBI!W^ny}fwAo8lAl6Mhbim+jYmK~DD^ zfAd!sum$KKs4&DQkq-GLd+A+p9{mVpJ6tv&CQl+>it%S%g)ln&OR#q+jkm&$;l9*$ z$HU^xPTo-7rSLR@6F!?%gqlO82{jJpt-3o31Vts$&9QAfx#81u2t`4D0d>CS#CpWt z9cF<)U{(x}m=86c-fT>nksRWzNky%epyhpu?VcScJ4`lyT`|%3HY{R~YZgalEM2M3 zfItkZ+T#v=bmiB|@B@Omh;+m}|BjW+rR`XV<}FMkbaU>HIW%iMCIV07AS|Bq-q9Wr z7yWSJG#@uc{BvNIJ`sJn{*EOgGlTiddQQ>2Wt148O0zVwghjGRg|MCzxady{ zQaZ`HyoxuEJW1)2E76YW)3+3l)vty)L4alCToAeVnM||%>PqG4`c15 znC>u@s>vKJy)h^~3cZ}qc-~nf4{1R36`?U4(-0#*T~=h@iG80p z&MLwmUK5c&Y?BF4FexkWwf>?MJFIUo)7i?M%%4X5X3 zmAYeliyX?8iiA2eq+SC^@m#6Y(Q(G(_1<#{o6Plm0??Y}rQDEL4COzwzh0CwLQ!5j z?_s37na}fJVe~P0h-#MbxV^&LxL!s8=QWd>eAEl+^4APn=T9Da#>MlqDr-W`_^R&3 zr>Y`vf9|5R8W=s@d`v6peorl!oz7Eg#7HK^P^E6hS5(0a@1rWbKv!{nQ>Qg zmnKs1SC2;Okkn z=WMzBGN%Gdvr25K8O7B$`nEiGFehzDCMf7Bg@4a6VR`49{pQF7$_O0LgfeeE9`J75 z`HMnR+b6Zm^LKOm#4l*QZo7r`Pk7MhJf429*mhy8J_H}x!clRh*iVS8k1iIujEtgX zLL0UWq;5iAB-}rg+k1oQ?qe>_0Io44SbBL8g$!HfhH@@{g{p@x4|sBk^5H-G;{Wqb?o zFYbSL87tdzb$TkfsxJ2SMWuR{d>Xujc)M!xsqooUyLSmGwR1ar=B2zE_2? z)yC^nPZ*`w;zn>*a3jOb;&|QUL`f90E5T68T>5Dw<($H+jdc6B9Kg5`riac8a*MF+ zYo%}r<;Vn;T$qorz9Ie=$6#LELYF7p6`9Wbwr^oK{r0d{J2cPExOEzlL^e{(N$eLKfgm)!Fs2;4I^*qN z;Uae8R##-VTjsVkGyvh#mFB_7xI4?*4X?uV7UnumB4eh^UUfC%uZv=+d}vY9s#<$N zL)zAQ!(e*=E!4P1U3hw%$;JUW2xOek&tZu#8pmhDZhjbiZ|MFteW8q-Ur+7|PdqKs z$-F8j+4!VB5!yqJ{5y@tIj-dOynqxE{zXelmiuMf&cL@G8i4ghHu0YBsjg76>G@s4 z2}uK8cN~wAVAlKZ z2GJky0((I2kN~efrqnx>KRdcXcSZF07npY? z?C{2BTiJ2R7$plxp^xu4>KGmfanh5>l%F^!&qhRH#{f(h-!g=!&~=A{-@6TT?)`C7 z$5tNtwWS&yW5h!!HD^3=t?!rE^Srj0N^52l|4Tm1OEzfv7agWbZ>2MbqcaR{wKI{t zeRnKv@t#!VCLz@9lz^Z=v;2sk!mjIHe0a=d*{+N*Yhbu*+7M}j(Q%RPd>EOjxyNBb z0679*&jf(6v!oX;Bdi^4&^YoyMFko!@_2qeo8a(g*roY8f^>o~a%EQ7JE+-TvNA$X z;MVwuBu&aw+#vFsvlfeQNWrUYk!0f&I4Blh`VL)1)1~wA70W8YoNu&!B!v+x)a_kU z;gZ_2GNoe>@kk-uMjAE215@k=PRpyPY%k$?XgI*DwkjbW>7KDrB!F^))>Zy+6u zbKop^uzOfX{z|q682=cw*Ar@cEIxQnX#N#Ji*NwFZx(*=pgSR6%y!@B3If?q_#Ytj z{&NPb4lHj_fK*p>nVkW4Vvm)cb~`xn@xG9D_!ryZWEbA`pMJ_Nsv|aM9#lb|OhSWV zFbII(&RAg1koWJep}k=_?gvOho^!oCT<)$b6W(O^=|gtSQi8nn6PtS*C}}ZbHg`gr zo`e?>^xz~pml;DF;Z0&Bbst?(^u}3lHMA+FdvK< z1N_4HCri5Qj$a>Pq|3MF5P(k%eNE}(nJGZlvHUo`zPlX3k5xbt_iVDMt2hI+o(QcN z@TH)%{hNUcs88*lr4Am|(Y1_Na&}e?yu#27Hq+C#jDZq8wVa)~rVgvL=kIP$lyjcw zl>)hbjFROwljB_sTZ-^djsdB05Cq(UDLgI@q++dG8-X*!Hq=Aa+CODawkCkn zM+*(<5lM&6jcy<0$?K8?acN$TCqq=N%GDg#Y3A+(#6Gr6X?UIJL@bwZZG8aMkdGj z-u5mLY0K?#=G;%)@Vi*p&58K0o0|aogqOjQSh=JM1)lkO&HO&-tu%qmZF}(IxgE+= ztfjy~4XVQFLS(17;N5o;G=0}iOEzW$9$m@(GUT$c^bSb*mKQjzSf%r2K`mL^_CCCD4bjRlg$f~7FGs8!qD*r$d+K^-d!H9E&oux@4Z^{Z zh?h>$s&4#d!)OoNvMW0KT$VT}d2I&NYIWdw!?jh)$flWH_{&PD=acRPWythQV{=tO z#AHC(f%#sPhgJvsGy667MF+(E9p))*l8VW$n5IGf{QfN#MK_sL$m)gw@)WXrV#Kz~ z6uPmEzSq^-kH9>AEt}BxN@hUyMC&K@&)2V4lxvl`+Nau}B+}`JM@6z)GHuxaeuZGz z!NZBTtWX%s6JFX`LDtI6?S{FWwMs3#-N_(3IA|SVFUaMFp*l)*uw1AZ3&0V(rH03D5YvH1oZ4VNOtB=%|@Q2i0a6i`V8uyU8#-tygYzsnNQ1(o)NrV z!l&UI81ls*pb-&sacsgR3g@X%NWbUV=9z3S4|HzW&Z(4l4?-T%$IK}CiKUKoIi!6B zdQJ>$1Ks(VyAzUJ9J@cAR#Vwif9Spa{K@|{rtS+F|G@&GJ(#^!-#I%JP=xl|k5O6JAAvL{lg#8;+b>))yx(`FSr zyVxH46sV0nbfnX4Q-Y6fz!f`)rKN))tcp^%q30BXq5Z@zzS~QqNBwAygGjImnqQtT zZR8pvn^k5c7VMty?CB#QY=uMp1?JKyugDV&a7N_bsX7N&C42y!w>e3H-M4smsVO-veW~dchJm3o(Klv%i}?N{pU76 zIjr}^?c+Y+somIZ*T)tsJhYvNk6QV@-@+$7Z`OW9eSYJeq#rVUBkO%DzWV|-MVbaIo_~=c-IZLDD~v~ks1A{Pw-@8fbf1zSPrv(&dA-Y-W{yFkW1nsW zs%i}R<}M(lgXSEJy+zy*=JxA!9*~>Utaya#HSg5vog!9OM;-Hnr%xrR@?K)L`4g?p zdKv%#dDP246}I2S3gDGPEVbScsfb<94Y4AkgB6m%WO`-93xka57t*yK(bGF-b>Erh z_mAwIUHSd+SbGs=XyjUuK)WF8Tx!Z*-`vzcCw9G6bkkVxs@Fgi1}$cV$`{$(M{dYV z+ZnvfwF5`ZK7nO)exK~s(F{w_{<;RB)4K%pE6tHQ>)LJlP%3gbK1+)4g&xN^-ih$MuUYMnk#cOdRqOyJ zGKjK!NFu3Bib&&yg(0FIvrZ|SM}w_jt5$kCu3e4ENnKA3<1y`c+le}Ur}lwh>>%~i z5ZX=0G1*^9Q?dkC+;)HjI}uOfg2mwyQKh(KW2>U7!dk|Tt&}*ORP2rs_TZ!`1&vm> za-MW+#vH#n^r!F(Hn2X;x$@R@mKcC01~P+_*OuPjRoMr=6Ay1uZ@0cyS*m7C7v_p#Q@dv=J0gDKi zVUgzj5mx@4coxSN6^a)HszNbh}g&Op%>5(o>v5VJ%Nr!husaz^k`7njgz-=(ZZ~OJ%<5l z7NjkGV<>UgWgpFH$(Va;q(cCrsskm_6>W$$y}qVkApVI zAU*a^w0kPLo{wCGN;*+7Vw3G~s+SVPR^KE#I;tK5H_@Cih0v6`j#WPn(&Sv0A^7wfK0$TnROy8issC0Ac6S7J#*E&!bh{4@#W-u7+V|NyV_rPU z>O@)1pcPlnF^y?%JKsqiWz6n@s940OkB$6_p1ZGK(dRI1Sh`wZZy{QyhX@Q*H?98t%`%?BW3mmfqbPZESMbC_tDb=O@i2rZIV&~bFxJ1+jJaz0advc3=g8)zCBfyYVO1Jp49{^>F`~)Pm87LTItr_( zWBYsPWzG&3H(jcilCeuniU;$^U9jQn^wsO&vR8Ch370`O??jiAiVqe}58a#y3IH*q zShzX?>6+#FdK<57gyI`of^hODhi2cknFIn0^LMwi5i**E9G&km|CXaqlgkv?1^^#} zMeCNaeKuDy3|5SgZzfH>b0@If^oa`_@e=Tc_p~imt3%gbFpC?7^HVoXP-V8pXtzB6 z;)|Rdj8_V8EYR~7hIXt?zS13RM0b}2vMUI|ckJ;g2e8@o2ez01 zg>YUY)`NNx1c3uumb)H=M}zqX;Nj|QW^DIg2xKnqe~1~N?5rIB)u2xFR#Md@7`{G~ zv3E34I$wO;n);J!WwG#DuvGR?S1nV452I1{oH55dlol2Y1TBFD0v1ndu;zRTxtZRF!G+2E(WPT1~wzMp$o(N#u=J(WBN)P&1@v)k9Q z5=}>^rrFQnIjmxSR^Q*&o5>!_MxvsoO504d=@n`uk{4UsLS$>3M25;)HHh0Rtlk!L z)53G;KHiE)Ui^F$iC%4+NvJSnckeRgT!T}|m?|INEL{iCS2dWf7Qy2*C}arfJo93T zt2(h27yPz@d!Q5lixxsflU~3vv%rgnPUs6YsDxVvj@YP`n8b7u!e6~0d_42n??N>-G@nK&x^TtfJXk#{)w5mg!Diw8&Z zPK;;WVjLy~u^Z7BE4rj->q6ulqGudgxstISiYp!tpb$rH4qbE7B~@AP-ydW0{R?^W z9uWU=gAU0oUWiS4qGxVB4HJO&!ggCTElZ2Yg&=DIqW~(_eM%d>K;!E>g zejW%1-Vga*snut;@w9d&%OJTi*f3}rtvFBY?Uk=8Z%E(SdpZ3C!rFoPCiZXHhO%Zd zcyUKEK{AiZ4a{Tdz)`1!UUo8wTSVDn^YYnSUv7)ER&DyaEpPY27uz6gWY%1N_ z&$bQ$G^h=Sg9R~;|TnkyVmvI!JEy8Y7Eb*|p(+i|6 z08Vx_BW`~jJ&WhuderxB_Ar#~5XV5>eP$=EhOz#Lex_GE89yQCuu(UXs}pp#Hm#}a z&K9uIzzv{ztL)mB6WUj6E-h^K$%B|uKUy~zUo}vT($%-6b=1c*_G0@U|J4>eGd7l; zekx^@L_ayfYDZ785I-4z+P#U5dZ*Fb0Z5_$TJFql8T94D_0_uMK0REA)tNl<@m_jW zWJBBmM=BTwQztuO_{Ca9yPXvpMR9qR>Uldc4NG)&UCNkkCrY*pZ~sK_#T{wM8{!T5 ztmvdz1nCy40LBP|8FM*lg%NAb=YZwG;_|SR1YIM%iU>F@l^n90XvOS0&RBEw28={R z4p1^u=iqFR#Y~g0Zm2H94pO?Hg>Yoqz#Dh}PI1KKy9yfZnPWP)fw;d#W%vP)JGrWn zD3E}8#Wm*#68~~wr!bA+iFk$dD|hpBU{q?l?XQ%ZqJ^fJg&Nn-MAWB<8{CQ%MDfXN zl#&44kPlS%A)9^C8)kR+V{j|8SHRTe>PZ`ar(0F6?YOrt{f|RX@N|8Y3XASa+Q^@8 zpDUZ*XF4J71-z@j6eDja-cHs(cag7o*O6Agx~I!_Hw6P(>aVE}u8mH<5KHXcLJzr# zUoU|0aEuN-Uf8R_z3~qj^z?%DlBec^4#)DeH5(*}7_l@Rw%5~8>mxTyt^oDZ*<-OX z4%}M@?iLmknHE@W8L{u^$%_d2K&h+ZDAO1_-?zPQy-PrAZb$XBWIYpiq|5EFF^9oo z`W6z|`4WE$m{;9@U30zmVo@Q|PdgVT&=6K*=r~@!&3>W8C1wy+Y~d;)$%94)O243e zWYSdI+@9q2xzQ|IHdsgS@ezv}jDP$C64NQ=*7+Z1pxjJ}j=Q9Z=zIDg-2Xx?C8qBY z0et0DEzpLpi)WU9(^k700KCQ_(1` zsnC-&s;LPHlwiwXnfgV^n;Z>K%!ozXH>Be_8P>;{@oE~RRK?M)zU)5@k9y{09TWfB zAqpgurXlC2rKa}WC|(jo{&bsEevW1u?_55%(eMaasZ zd3&GPaBwCGCwr4ja7$+Qn#@rFeUkaBbLFPqmpKa?Wmse#P`)DGRX5_nP$t$AdEC4N z1z|wzn2tWk<6Epy!*N4?&dp$TZNT8(E5GCH8L+Gg*&JEpgcG3Z0@2wPyj=cp2*|SM zOf4>(!M3J(NrMx}laV=IKqs#`z0aZ`!YKa>|N!%RQPw7<-Dl+^+!vqD*y?l16AUs z=gH_^b$GW_+iUt0MR?Mb!Z4r->F>iJ?J;9YX}k6rzg8IJNfgD~U*-@GRCaDy8`!g- z7qFb9lHOq-OsvK=OZ8kB@X1#E;&2EtLr^uQW&5pAB+-TL(>eHDC9X1Muks^{x1Q6b zo0vYk^}|clzq#NogD-MH`~Vsx5~3iT>qW^8%cd*p-H1yNBA8-P^X3} zt}BE3K1{>ptJXgn}wjM>0$WTA@&+6mQNA+l9bV%5?buE0H(K;T(1>;2#p%H z$;E^A;ygcKp-H=S`InN*rd^DK@Ba*5X;(Q*co@1f?M;vkx=9Ny%YeadtHe?t)8~WH z{N8c{yRzbqBE9?1aaLop+*fkSzPw)A&AD%nygKn`R7SRElc$?!q@62)lPhy!*d*`j z3*u~ZhA;P|OuCy=6fRjohjN$deuj#Y zzEX&SqTZRR%JM6ZjG*}|AOD9%6eU~7P}(i9&71Pt0bG74Ocbv*%!KU3i08ox;KgjI zBIC>{R_f)z{XOoe)JLs=O0R%(-L{hy<{5o>v0$A;)2%M>7O?B3_OoZL)lgf#tZJSm zJ$jj+j&Fc*G2eLIYTX=MAXtMRX(&eDF*=5Zdi>c#3dDJB>TSxi>n3>ojBncDVdo41 z=|bhEd0H3G(yIeJI`+lj{vU`e!lH@& z#|0p)oQW1E@*wOiiLsEFy6kNKpj!k4{zY@)<71Ry{)X57o96P(fc+2Okd27#ACm1i z;pLkd`=3wdB>ESY_In%GH%Ip0uW}Q8!(#v0PmP&~g(cyX5rm5^k@=Jzz{bS#zmX6R zbXQ|=htb(>hn1h9J}Qnp4YxJfDfk--qSH!I8AbJ`ac3u|(Joh|;neOW!2)htI@TpgD->Xp%TdS?W% zr)cYQTciOJ@VftG-JC53J57nYHTMu&2rA?(8!A|Y{_*0^rZ!8fp4N2GT<0d(i)W)- zSoRi;m5Se~XOYC+9z6A!p5EAAa3`WCm&BTA9bk{71d3}UI`A+M)JK7_GMb!!shITPXMd$EpF~NcZZEK<}M>js4(r3`8Im| zf+~h$EEbGNz2T6xaKX5WNagm^;)R2eL{g1EVZYB@&I(Mgt=i(ghRmG1F5Urhd=1Eo z1*M!Ji)bR|CM_L#lov8f#7@12=A}nr#n*>6A{q69>RFgCL-HU6!kqdIh2#McdUldE zgra8nJ18Y26)4hQguZ%d9;{U|C?X=F*q*fy+v6hbxX+jP@DO?v?)VsX3U{N-h`Fp; z0q+-Q{97Db2)6kl86m|pO&yeV2XY7z6M_(o6h?Reb%3cfV>pVKfFIn?W+XE8{Zoh#Lm zHi2T-DC`GHVm5N`_T-}U`!QUTs|NJ<&L&K^%jetpk>V%tX)J`E zQ{evC{uojGLoTCc1S6%DGs6%DtZ4(nU{9jS60$}ioenGtq9y#ZtjXq^|8!gfW`d(& z&Q)C1c1Z3dKx=K)lwf$V93k}6xC0or$MrzZeXjnDsHeIGl#|+l4bOP=q4^=7#;WvMr$6_ zVv(b*lKs17+lo;gN9R$%8W;;Z{*P0sKRO@66ydkUDK6la?kMH~T+saPrZmb1URZR4 zm9Vd@{>#`ThOd#g$^)>zO4VaM!GYFM)ufuH95Ih~N=5!DJL)URS+Ye5*2-jlJz~Z) zH=GH%fgsV)%J;dhyg-UMW;!|iFY{!gewueUZk43qU{nRe11Btxcegm^?aE#VD-Y63=xWANHyYM zt>iX?iU$LSUM}|ex=2vf6lwY2kR!QN5Mu5CbOxbFhLMH#%wayz1g3{iB@5gQg9M5Z5M(T)!9wMM)z0iF_AxDV zDX&C2@oHoN?uiTJl>8_#0W%FkS^;DZwLSN002PbH@3Vlv`I8RSj%j~`= z5x!p-}KF17y>9tArb8MNtX_ zMn4JoyxvvbS{mht0tL%1yRzNDv*t3EqCvzjk0m;`PF1&ZP77(C~WminTEb{!!usveRqq(a$j>p8<{}B_8a~kYI86jsH zBA^)$Fp5_Ic2=%{#IQ}=+_?wm4@)_Vd`1n%(>GL9&t5*XTUt-`+<$*(8Ds4(-ma-0 zV}upwT+cidw^*KjU4njqJqGnGQ`I5hoGZ~c>9~Hf(F5%UV}vrns|(-yDlshJmB;Gk zbGJLsiXU{7t3|u6W*djwP*ZZtH2}=HtI%Nrkliy_-7V|Gs8qnl;Ke}|s&?%f6bC8D zqD*;hRh;HsZlOq%V!+7+^`}DHX}7J&OEz1m$6SAE-n?dS>i*?Ie!)eahHI5VMvjTP zCH>fwPU4YaZ7`Yo3XG+;29G1Ou0Oi_p?+?5i^9t0>Thtbo!r4$?bY69VBazs5wNQa z;F8IoQBJ~YX>XBS3$BWgU$OW(nJq_@WRvv%CTyaDW%H!_>V5JxtJ#%h9|>}vE5WO= z&%jZn@v3xiXVgP6^Sh%tBeZ20Fp=~XwC+ee=Pa7x3WKhQ^eHc0cSe#on z@d?H#_@_;Ld67xCWf4u6|1EmK6$mV04_8_qizZln<*j?Wh-ZLpz6IDqx^y#L<#k5j zc_74tM6lJRaZS;Bl1Tat@&o=&4Q;9Sa3sc;-)rvf_FGuw(9bLCYHyXBb0|!4Ju2;v zWymc548E=G3$Swc{SBwUryiCJ080HUgJX&1Twe}^1^l2+1VheWb8!H%LS#f zY)P1ByUbfVMS=W#rd*^2VH#05SIUt?rb0(GJVwUjvIV_d04L(9Z)H95 z8n-`ZvxjYIsHFVnT`yPD{1JB8T&!!2V&~MO{o1$(J_Ea)%2j&?0pWfGsDjEWUqY>D znpJ(ox$rG%c3E1nz-KjOZ~e}WXqHLr5C7S*%q!~hlV*`pVP} znmyZ4D3b>4eQ0|6Twah5dbN7jAOfjCt8)fOMi>a~DpO zn&*;~p94^=m2op#Dut#ojmtAAdpnsMlMPl3{49Tw>R&A{T?Cl@Jvh@YEfU-H2m4Y- z%lE>HlO8H&Dff(aK*UzJAbsQH^Jcq=3!P(UYu_<7iVVfAoP=#!5wd=Uxy?<+TynE! z;W*t!=)h%JtW=z0^wQ4xvTDXdwu6d3*4ZQBzoKUMLV!;?>d7lA!5C=b+wyT8)>sF!H)j^JwcmBVKF}}FT_>C z+B*-z*kx@ALNn%^p`7Yv_0ZxCI8@T$(Mp z4&kAp=ED9CxUZb;qKY(+L^AvU<56?o`R=JuN2Av#fRG`E*=V>{A^H_2?Nc=Ewqm6n zW3r!G=v(u$vOO9{nX+QM?y|14qc8#k>_#M6q>rySX2rr{X+U>otEnhT36bz$Oq5Rn zf$VN+hs-83TArxBu$Wy?%Ew~aqiY`rCa*XzP}PU2Vz5ammmCK2y-A%f5?fjKgsx8N z_Vgh*fJ-|G@-y0N=o9*gRNYSC9(`YMbxmq&P1t}6!p=Rx56KVROs-$F!B-lSgBcJ|QBG+2J{}SrK>Uj)~(9+?7kuc1a2y zroqR9^-2gfFs7(#a#6b7oDu}r$prXc$@#(e0KH(mOIX@$b6>PW8#3x*y^JvrF4u4m z$OU8Lu$kt>oF9fCoBh2QPLE-+rJVRcok9M#-5-1mIYO!i?kI?ETt1R~5B+r*Pk*&$ zYUkeXA`_C9V^!H@KZ4?{6)ihmT9`0QU62(~wcTlRYiBf5RGwA)Dipu?%3d_tC1rJW zEx2`YG-AW#&3FS>WI!UG$T3D@s;*5%9Bm4(``z@caJzUzy%t=HC~%QpK ziAE-9i6s}Z|MVE{F8BcA9*}e>9AZ0B{}ujhb!2Sp zC$5*x?GLi)?akcIR<5@z#8!*?Hy%#$Qu%;%a9OZ|Po#Gj|;SsA0rhjcE0`x2D# zG-LJ6%ii{sfjXdVeQTll*P`9)ao3h*F|J`}jh&mcp&n^Pg$`$1TW2+XiqCIO7Pj)X zD$e_!L-{K42c@?m_4U_WhED>%^npaQ=y+s2{db}J>Zx+W^GE=;hkf83%|{2YA<0aJ z=Hfd2?85*6%*jaZfz^`Rr@MlaAWCl$cX1^mMH;sL^6BTS34F|Ui($2mS?@XS>$<(S z%Y65%yQ&6f{$Jq%mkz0r9f+8(IIb8g?8j?2BkC5yps>d2&SdyH0RQ&hXPwx(RtO~8 zhbW>?F2RZE5>%=f$kq#Fi4u&Sn z6ZJ0a%eUdk2E!>w3J+fTO(b@TGfV2v7(h++bl2N{6W`bF;{_or4PAc3Kus@oSW&+u zmtWdN4*0KOJi?=#q^4yQ!TrVeyY9!0VTpF+JEUri@d?76^c*GCoNH%Ft9%g(wxuS- z-y6aJ9;l(HMyMmwRiE;=%}Jk%x`z6qIYY&0CK?A_=w=ZZ@ABvCJI#bTf`pufl?NgL z@*RN*oWFm+{Tu=plUzsdlfzL&=%)nKQC8@Dms}Q@GG#1<&t5CPt&4E%)J7>n6O;7H zTvJM^JogLnlipp)S4P71{Q=K{^y*I>#tD*u&wcnm%Ak8=nqPxCstLJpr_qfpCCTgV z4?_vL6x}}3xi7QflAJnXx2Ipf1REIx>eEi%Qg_hiWc@rld{&4_db=ZGfME!9)e+sl z%jYviFrmX4v4sUxD3=vFj`0|t`HYrA{b|$$YyM@wT*n-^i+`foH8!Z#dU!IS3l9wd zXgEdh2Q1})Vh;~s+!g#xKE_b!As0v2I3}qbTD0rN!StgRNrf#t_lwL>^XPp9!eT=FJbC-5)|X}b3TVuuLK zp5+f?A9Bo1&@4aEWUL&>xHZC!4$@X<&%gV-UOp~gwcZ|Lu4I53B>mm{GRp=W^eNrf z=0h9?jcfPicF4~krsZX9EO-Nk7oyl=Kg3+ZtjnX19oe_W1u)hba<=umBt6l8t#p_t zaG@if`fHPKo)HzuqasKk;qi(CkZ_TGC9iHhz9ohe9F*ugnLMHlzd(WR5c=)6aI2zXDU&N zMMs#)6$pioBR~YeUHK3(*0U_Ay+@5MufA&DVKjNiyr#}S3P-wxbbs?OB$Jj0y0y^0 zvMlL7#iI^YiikdEQCm4pppVDu z=^wqhr=|ek$>f%vp1Pt9Flx4jI4^kLxzAL2NMn^s7JMkWYBv0${@y6GXI03dnkSG# zrZv?{;Q;F+{{C%1WgP%p->#;F8Ae(eMPpiasv7i(5RWCM&o74v*6|>Fasc|L_gwFk zf-^T01lFDqkD(KlKw=JuwevE>)$+p=JEx?0Rh(+u+4>)&KxO-AqoQW3()yL%ItXq1+=F;91TMoe_U z9oDvj*=f-%qFm97yg5gx{p~aT)vZ&egaC=!io+uC_zlyNaA8zBPp7t#$sYR{|q}l?oTj zHFC6}3$U7W#5`bTm*L`_oL~4Qa{p)>v9P+~v(@1lsu9?JH|0y6C@%w!d>la?O6Ot@M04`sdOr z8EmrPeb$L`RAjK2YMhWevVH{ojatkJ@wViUa2Gbb>AD>8)9&#& z&5ZqzI)5g27;@QFUAZi`%W?GH?aX=X0Y^&0OHL2!k0U0ttp<49AKG>yY7$fznzYq* zFt$NCJ?Q{qYl)U64khC_2V(a!jg`=BJZKx~RQNug-^QlpZ>!;5(8^;bedjI@5ZL~T zHE$A2Fk6CZ-a+8YP>d>-I5yjv+H^6!_@3BoVsgZmMe`5G7%MjYWJ zhj3aBZI;Q=`6-3(Ld4!PDJXuR>$Uc2Z+km*F#rJQAbJTM6xaBYENJthfs^0Prc{-n z1JBhJnk&&H-XI(jM}-3LX&`h^RLq)Nt>gvHOGKly(|}>Mj7&+W^b18&6zzRDim_w8 zNIcp`luo{+jEl?XX+#lRJCbR|hfvXSVVLy2*hUo5FM!xWKk~;aTLVJ4cHXty`qzs* z00Qt09325ZKz9L~N+X^un0lWGc2UZ~7@ z2PoArJFE9(Cq*8_Dk;4-mz{UCs@xZueqPB1*$iG$nML`4B)yceEP!lJNgTyrck`WN7k z$1uJDi_e)vVC>HZTOTPTX^U;8zToOmI@YrM=R)Nul`X8yL}vOPPk#?RMoCo$s$`HF zfAI8?aPdR5W9cuLSRHpE9c;`sjk!6Z&vsYq&11DHtX1`&qJM77Sso-*s;bIU+0})j zm><}pePoHIv@Wj*862udtRS3gmmdJ3ddHJj8Cm9U!**33_hsMm5Xheu?jN!J^@yqN zi0u`_TdU<7u<=?aOn;jV<(|YWjv)2QZNqAG>nn{=z|XwYI9u3P?H+8Z{;FJvYs5A} zXyac(mMeV>U+T*WsBWH~45c+`F3J+DlCYOieIkXPW#lQPK0F6yfDQ^wG8rV6Eo=6C&>C`I{MKJ=LX78at(R^npmeZ!{^l zARkF^52Cu~+5Sg;2)m8iNKvA-J&ckbT9!c$YER7EqCqR83u>`YHbXRkZy=c&8yoGn zZ=SK6#QZIh)ASjO(zHgMW1MRr=u5k8_u}l_2Y!Z$@%J)%P^uW!qC-5mRK+7)k$a(V z*u@KfkPvqgfq=xP zNaHZ6skj58!p_5*KaK`4V6A%<5q;7`x>K@+Me111XcNsfYhWg5sKnFBRfk|E)~ve}-Az(*ILXaNBKbs8fjPQZ;0mUbErtR>L%%usTgP)8UV5am zJ+Z;CwkLzHF&G9TzmYcfG9XdAUPATA5gSkLxz&-Yk#)(}lH8ZhpCX{EF54YdG@kU= z0#sLIW#Btb%rL=)FWs9`Z^B}mqt5Vg&7qv}L|wax7fF&;dU*f*YzeL^2QbTtt1i@6 zu1fvTZ&&z2Os;U8NU4ok;1ya?q}d0m=76Hyz1dTh{;ihk+M3_4jafi- z^2?`A`V4g^MxfqEweR6$`JnZfAI^#u`faPxef+tT2I3Sz6tS$Si03rJCU4wz_J<~C zhH_qCBjL?DMzSJ|)AKs09kpY0pJLA+YLMk-Hz7GUf17h4enr2$rlAbd5dWh1-Dd_v z-D}?+(H&f3Xi=F{UPD#?j=AUrYwr(Zj$|N8r8V{^>dGIEFq@E3W(czdaDkhn_B(Iw zzxZv9+BskVIfLcRo;n;N{pnNosTaFCK}j}_RSN=W#_-kZkpvI#aIH(oADG(1n8)|y zj#V^6SHD1vDoBVzsU({Ec&V4WyOEaGkUb#e&ci*3e>YJY1X>nfg0Hiyw2VDg!=s@eu<2O~Ywq%2d>7`GHce6#|;(3cHj6UzkEwYN61~cb1aERUGLy%)j}l zI7*z)NjHX!d~*?|%Qdv+i!wYy7H9nWr5wI6dn%{y2BA&#-xrKD%zo@^_-mI9piG0B z<4a)%YD2E&f==i#q+?99$*^HFoeRB-W2_o$cT3iDM-;PFi0yvhXc)1gSX1Q`Wsslh%D zn46j^>-#;_ndne+Wdv9?DgV7aAHzjs#7u|tnOeK1Fmux-M5bXBA~oFWdccPi0Fl@; z_LMQZg0HB1oETbwFUqwJ?u5ROaE8>Uw64)H>PP44#9ZvMSA`W4FV11^{41}_|sHI?$`B75ChX9A$DO=U@Uhmg0vBfKg zkqS=|ZE$mcJXFdf@7nE-KoiQQTcUK@#fx{>P?NuCQ5wyn|DgnV>!`8g^evA6mLU^k zI$$@txXW`9hJ z-a3o3rmx%Q?eH2Bz^NDX)zFI7d4fE&sCLw(&?xsIhxNS3qn*|CP5#4JEnvAdEz3uTm?$>{kk3UmtSjkDd!ozy0>kHBZXB8?812ZU=x~!&|Y4 zP7Hdz%!I<{tEFNZ=dvgy+sN`Xpc0Y{+DQY&+yq9PI1WfwVE-(AHY-Sr&fZwII*wtK zQK(MlmwEAW3U~+y)o3b)9^`z6NXDBH%hkdr&o%E~DMO8GG_T;FIa14ePbFggG&PuV zDGM+qAO}({5t>D%5yE5zi0PC|$;^q~diUoUL>tyd3Ap+OhT@YucR>mgvcemTmL>01 znub^@T}e{sojJ6X+v*^r>gw}kN0HWvyKF0$9IvRPveBtJ>xO2vSlqtngxPD)PMM8F zq-sP2zv|K&SfHNy8EoJoGcuCD+0Q3$Pu)Vwu^B%cZAI5&C##&Zd_Hv}&T2(XET zI^oS810Z*#71vj_nF@-IoY<;(ConJ~U{WpH2kzcL@JObZ9x>9obrh7@8}XZ|vBEvl zX!7N0AA0=^`IdMC5en*4t7`?#z#K#s1{*IneCu9JjLrC^#-2VHW}RLQv>{Z{}3t zzT`+#w`q^*q+%s=Zhml!Fv>k@S3bObXLD@Lrwy|iE)Cc^INaqJ+#Q0@g2`YxDD=eY zylYfN(1YX#%u2t$G%#_|T&$%l#9|~e>4dW@u=iG>(P2Iw6r^eV>(GW{z5hanr=NDPqifiCP;)O zLcn&lG;=j(W^}Y7;^1HuA>!a>6enV4VP^bS!gJ~y5io4x1_cfnGcyy@e;g5V3BGc= zX8#CWFVVr;^U<2UkG*S18EkLs=y^gWu!l}c`bFJdqfbrqXM7vVRS?P?0DUh?7RcGa*M-z}g`dbdo(g)2(KlzUNJa4^o@bFMWjksdE z9WOj2%GF+Vbj*+19c<|Vd+&_vZRun zSKZ;zPI^ch+Jzdmw#{A;d>#ILYDk7`W$fQ!$AS-7ZlzbdwUCW~fxab%VFRP73VwIIg znJJ7VIUfP01}Gb`LUEl?F(NN}r+yS<*GbO1VIj+fKr^%YfqbzawB-#rpg?Nme=%Gw zGeUz{5G8rwXZ4G(Um~PNc2pje_nOl<{pCwd6|bP3I$ny0z_f68TB=sKIehMLh<{C? zl8FCPM~O8dp5USr=`=nmJPz*A8XL=wsYvec+-BG~fuG~SG9%iLXl z#ztS;L271$Zci&~UgTQZ&<_p$Xlp9hwkwCO;#un}mnM5JHAkoDar8i7LG8I{U7C~T zerAw#FO*-FC`|Q1L1WKi?-r@9VqmPgsf*ZXQ+)sz>e$^c*?q^l$Q=T0U=jnW>Xu59 zPbqQ#eT$<2P~RN)wES`c$?^BjbNqNL%H)4(dy{7W$n2Kkj zHx8sfoG$;c1FJ^)2OPd&numKG4SbuDVCwLwh=>lHnax`0iA)}1YDq{p$U^s+)6oNx z4H>XKGPV-dr#kynr(+iDfaa{59p2mg2Hsk^HXaNYK;HcLsF2f$o4x22sjZ5r^keN5 zgsfNz_;2Ml%l(!A>_AZS*_?TGzPM;6odm1ZuJtQFM|&wgosfp9UCU~&mU?F9gGAg! z$`XZ&lpI~pSm^>cSX8G5vh2A$52%%6BhOo~>BNQjKt^zgOK(kTyabSQMW#`XgqVgCyq?D3_a?9#rvU*^@7Up+*g z{LEbGWeFV3s?x5ivGIaUXNnB304Bm$*3kEL^Mq#7-TmHcX>DfwF9GfK zQSVsK#s%Esaiyk>F5D!~D;O{c1ccCbmM69iV|=dYX^@LVvRd*sTKKPE|(e$LJ0c;O_rGH?e7R&=*cL;_y0Vz1JtQ?H0u4Z-`MBGfNj-jVPxMDZy*Qk_R0jJ>hkf}9kBeGG6p2`Lt1DDY(+x;qedW_`tFd%x z73!T|uB{)c(~V+>k6xH`!?6}20wrqEspYmx@-RTvxn&A@cn6$xPLVvT+7}kDz42LcYnLw?9D)&aZ^XhfC*vb%& zp9_bJ`+r?H82`**|05eW-bnH&L(Ex+u0HoA&FDR zDS+WL|38d+|KE;s|51~F&u`JV{v%Nr5cn^b=Jyx+c4>a6ivDk+@=DG1n0+y%WRD5l zRK%M?dMSr(Myb2LslXkp*&{n)5;Aks5%7eGiz|nTmYdq#;j*jdeJ<22WXqyD6L)v@ zY#z7r_q}$`g4T7#u5@_=A6gjY3BOFJ$)x7`ooActXfqAWDeMxm;qr%IOn1~FZou-O zZ2)0|dtys*S&4|$u<1*iNxbvi?)sDOB>D%rk*M;3EC`4dLs?Xvab+boQW zO51(LXdGhuZt{J=uiFai^3hH85P&Q7 z#YIJqsJ?Rz0FMu~;x|M5q zu36Zl4a>jag_3vj9E!A?_tx;^@Z&~_-s3m<>_DNB$xr`d3J9XH!5;jA z2t;3ppQD*GU5E-VBh@|?RkHUWW^A(+KAwAD+=NXodDC%m94{SYaBftb>oQ360!V$K zB6Y1|{_Gxgl|XO%9Q^X=LV%>irQjblX$NacP_Fe8lwV*l3gqB1b^{#{g2uqVQh)mk z15*u!DESf@Ai(sDJIcx06p~~?JJ(8xH4iV~&OmpYWLy1M^i#wR;8dGOgs(%KLCn5M zg5PxCGbY3B!wogH^s{3Di&zdQrAFny-2lRebWY)`3&}5O3W%-IodFa&E}*3ryOJv? zH$lOeiRaTYReGx)(<3H3h4VJt%rwGUQmU`ilb)Z|C4en&|2oWgL3*#NZMay-^m1RG zp->oncKZQ(gQnpRKOj3I44F?PW-v(skcW#D?~kMoK@4!)!bE69-N1}|I2e4gQQokp z6in#J6%B*en!;yg5dqMnE^xa~z*NDQcQ%=}>y@@VsvJpyjkcK*e^bz6yh&W}d?c&O zMps(*jR%7LYZ`l5t5k7i1PW!~u=qmE>V4N&yC!h3ntbOuDW_l>JN;Mm%lmF)5pEp^ zbcsY|1R-x)`yYw7qs1#dCgRODo`gH`u&6sPBp=By{d;5>yaCAiB=Iu=o^O?Tmcw5o zq{i$nkJ@6+IJ^9jQVdL|xkf6ba>q$yA_olKy}Ec=cI_Y}r3oMR4b$CNZqR3Wu((pJ zy3~>7awenQl>G2g7{c1yF&5c-tiY?X8K`e+QU!O&ZKZGvG#uLU_2})$uC}bUfBn(b z^2`hMTDuy&WC08H5WWKj#fNEWLd3GZ4_Zlqo(LiYWxRQ*yA)4#2I*r`IiwZwXum}1 z;!s{`H0BX(XDrb5ny^>Kv3o{BUj5v@$Y>$5C^L zQ11LIH@gCY55*>{LRp2muouo&!IzP~!bJ~%d*@?!8w8NYakI4#qiS72K%W}DM4G%Z zg_yOtWKzIG|JY^=Gwk{+MVDR7 zAx<><)dw&>bxVqxVma@EYsuv5HqKjHBqVjP+&BT4nUY6=62Ld_&<;>c8|t^JT0$R8 z$9)R_ns9lT7Fu+^>r(iVtF@!VS0LvhN>+>}7g4(Ap65js=`g5rA0qS~v1BeL9^0YS zGSHTVQVKLYpsiY7{rX4c^VaQ6_g{4i^xHR|LJ5ok{a;F(DIR8~9q$z>n5(`g| z|KmIY{96q4tqWoy;$Zq$sghJ>BVy+M=i&e8NBS;?tpBkl{lC=({hzE!-^WM)D|cC1CA6ve7*!OAY+>y7 zec5ke%zfAH7+haB>=?KmDK6Hn{Q}^B>8}?i>s~*^tJYQsbOf)bGCoN{F>h~mH7Gg& z-fmxPyj^0MqlbMy#yOwfv1$x`Y`z}$-2Te_Q43emUFRegSm1IJ{4;ch`o=pBt|iK3OWhJ^~ay!rd8b zzFsHS4cE3CzI+ADW#zByKV3RyCSzGVkiElHUXG4y0A<6Im;YB=UjY`!vUQ8QySw`! zgS)%C1h?QG2n-TJkl^m_1a}GU!6CT2LxKl*lXLFa3Gvn-8MP|DUy;Lphw+Z^1+;We#oGh|D zykqU0AR+%<19VyB6kzN(?xb5gcOq(2L;Ka!usgRX0Cl6D*IkI}4F?9znKDuE_Y-oS z*L{#L&68h+`^F9E&f`Fqu`#DY8_dgEb}VSp(8`-=^csyU1Cx@;3!hU4_PuQs0MvuzGz*um_RpyzA5cjwRQZxwh2?QT1L zI=Ape9r{p+cVr#)I)3#wT3y|()qTHhP>%tT^uuIOW5}bQ*hS0mg{LPi}3ZjkNfzwr*H1m zD&SP7=t5X2qzb9&OF*)Dh4h)NK2Hg6I)5c%JWf6qnzPiuBtXd-M`0k6)HecM2OXVtdy{?x&biYG4 z^DA$b-I%MqD^M7^Ur$ZoJ34spqgnMFE&m8^Vka=E!p0Ht_5 zA-A8fJI6SjKQ=cLIK5uoK5V2O9e{`GZoLHD^NHclsE6W}!j|)dam7P)p{py4i#H~Czf<;gPGoMYcDi)EHy^pd>}}Ztk_$U;u;`?v7`~s= zIBnlbCO1QQsk6AkLBvJ#NvAiZzWD<^5%3*`oSbKv8UYPt1H4@?&Gg&j0mAzM?eu>0NZ5zM zUk5B+ZmK&P?{1Fqn!e|}?r{41Bpe#Qq&Tmy9#I8ck>+D#Wo1i};Rk`&uEalQ!z|I~ z1gtpakOl13tG*uZ$z_2w(wjQ^zCsbe|8X&3`Q{tX&J}u1&2ngya3k0-Rl13`mE8uYDAb`7YZri2YO59v0SS z2Sxank3pExQ$56Ju0LW?hLIx=@s$|W~YBPiM(^O)YTj8og*kxD zTMYF6{#C4$F3=X;c2Yg0iX*TwLEG_&R3eXWI3AAx1#;W+1$vnTg>dsU4VC@2U6VlJ zb3k0rhMM)z!E{)buA!OVV`v@}n?vNO9Xbl`BAXwlp}jc6$^(>yzfzbQ5tNeMRiN5o z)~(WX0HOqFo@GfTE{jl{f!ipx>eB;;crlsV=)sZgU!Y<}`4!`b!R zX4|mG!DH1GyG?9Yx+ZZmrJf<35Rp>W`^qucr2qnRi(1)(v3-7&C+nJ=3_fmO*KgTA zoAJe!}q6 z6p+5)eQ$vvdV88ovA9`N+d&S9f=|+L?nK6 zbOi0-AWM9-UqPXO*}!9DaDW~Bv|MPLk+r#nBGEJw$6ynKor0|}%8p=83X!Ht1!|V) zT(l!Cpr}crM?GTxu#^)kfGQc!zEtzd9ZBm-QwT@thYW@KmJfzfV7gHH@H$b+$_;9@ zk967ssgKg~Xs8>RXJN$1J-YDQeyA7_zR@bO3|88>F;?u65=ELMDD7JE{8UPAT+dBW&?2>!SAUeS4>T@2mJh=dpBh9^&j;*LYpldjR20x8ndCHOfOe5?EjqVh8Wp!;#9{dX36k7zbC9H- zkLe-zoPy3Pg)Bh`!`vF{K3OtO#J!$tZ!_|Ib;A%Hpp}AOLz`-APmHrb$C<+Yx zr@^|+AQl$IPO3EGQNm#ZS5PET z7~~&Jsm#>K9H%teRDe#cF5fGbaQ9_TnZ`7WNys3M8Ii?E3n3|v*+CGN(@Pj;-L;w3 zNMfg*giuFq*A#|$k;J!c_1^FpfUoOv^41{t${kfoit9nRmyU$N`~^|p7L;&rV96)6 z-UY|x)Ip1^vF=s&4}#k0a?C1QDYKJO6+9H#Yy>xFpMl~xsQ2AQN}PT`8VtAC9b>F_a3;y_ZL2O@XB5l-5mQ$XxE zqo|E6Ok^`l-|>DP?Te5Wbg}3OEfrp}d1{7CsjT-X@ntp_D(yd2TGOO3_J~Q4^QQ(P zOZFH?&qpiA61va@E2(+9RZp2U*`eC^s}#0!)dEfY;?NSL@)Vj>1+B+Pi?O`NO-FQB z?Z?~(t7=(}qCkebGaZny>-hy-~F2SHtT)PUS&8GZx87NJ>=QCVKGtJ~i z`u6+m1O;~|q?($*A-6YC|lyL``LP8GohCvKJmdoR7IhNFH-`5}m980Vqc zfmpmY**A%c6?W*TES?qy&u5oKla*;(7*i!MV^*W!y`0uHh0HLpGyx-=vLCdlk8{VX zRk0UJ7$IIm z8KG_q9JTo+8eOr>KcA!UJ zRhc04n#9AkD8lk+p@Do6=4}{$6_ZZiqb!Qk7AVzIPi#$2pQ=_pTEQ1DU2l%vJlJLW z<9(U|D;a*FcuRX~Redb(#v&j6iRtKOQk?1uXhWe!;>>Rj72L~-Z$1l;!4sSISE&i_ zlw}=as~>A)4&@A$<8?Di(@DoaP!3CJkh6p88OI|nS8x`)M5g)M8A@ovY^vqSAcrRO zhjW3kur`tm7LrX07*H%9m&ysC)FcU|D>+}442#^1_^$3CLoJ!7`CO&QDy9fa)PL3$ zQB-;mmgO&FJIJMciJi4#{DH)8rGJe`%p1j}NU4fG`WesmmxVB;X1rm1PJVfACgdZC zgp9U$Be7CQvLJp|1$|wtm`QS1xY(U*sz1@8{+I$P?X`3}k1qIQd<6}SOciA4JV~(;5)FyFz2eq6)gHVKe@ay7^Jd47kuC;B50mCXbGONlpj6Ex# z#EMlPw*2ybVnV7@w3)r0TTa9+An)QtP5RFuN=l(C!|_p|1iJ;wI6>=1OzT*&N1py< zP;w58+dEZ{^B8m6gzfHklTv}CYaL)Nk-i(&P#NF#%;3Yb=KT7Nu03UXQmghSXlWai zM~Zz2@h;Rh1I?wrbnR}`o$|u%@)j~M{87I{rLS!F6c$E4s>*>-NZ>2(+#CczU&JK5 z`noDPeo!+vHl(P(6XqG#8b(yG^e5{}`AOk<+H+HuO9UwrZ&ighZL+GNiqJEAS_+r9 zpf(FpOYS#DwSn(J1n~&AxX|WCpdiF(V!hD$D#|Ud6phY-mcnJ09`{*%an#?nMgpi_z@jpwcZFMyHE7C;mj$&W;~dnR6U!*0?g zyUAWX*2eB|B|>Xz(e}1cRwFi479}!xVR5YbSM6GNI#PN2s*7!R&f0MWc@DUV-$t0L*5oAy9cFW9*tD5#Ka2r9c-@$ceG}CBJap| zY;h~n%NOvjU9|`Dl+G4Ef)pMmYjg{$CX#8L0SOE{)@iWC@Ngv(T({Xm=uJFkL3Oi( zx4)n&kHrVXmL1nGYg0(69NOA}f;Rik@WQaj8Xn1x{)a0>6VU#WcdnInRY^;2?g7#V zB~yoiLB%|B!QV~MsWT)^rc8;$N{8*$sugaCsrfZ0m&cVC7IGj2L8-*QYVxp`ZwfR0 zJQeu`FIrn^@36B6SQ*JLX>d#t_qq=rlluZ>q)kwgBGRMj5GAflQH74ek;#^=AkqsA ze|1mq1mg9_O9R#1m4mXkKNY_3#t8ph$p4mj`fVIGs(r?eSBabc*xXzV^w|{BVC?M$r9~-iXhs^)nU)CNL)TWa(m8&Mj89}14az|tEz;ia-9UJkBmAC91l{_`#GcPLzc|dizQrJh#ci~X;NKt z_{QKfUkw6L9sDWm;P!Wp6q_z(by*l{b+wUdGb+LQbJKp1nZ7ZdN`#e+esw@#tw&c< z79=rEP;=$-7f>Zh4If|FLSnYVZfxv5g6~xeT-)Vk4hOF*gD`xgI$9tO7QJLjMx2Sc zppah=Yqv|eSW0`tqvJwr`rP*T-Y|;PagIT&U5w0aN@qCtFh2^*Z6_tuyBan``5;nj z(tC(T%sB;~4aY7(mCkq4(OKZy<*+=Rl4i@#VygV)a!_Hf5mQ+OTI1FV83CssM$j1m zp0Sm%QpV+MpmJhn1XZH_Ye;(1n4g@}Zr!>o^dxfA%egm8@E?kB-1gVh7^& z+i6=WK zl&nHk{((NG4>Z~-Nh2-`@6y|hlM5A4+9p~_`JUDQm~dD){J z_o$p`WA*vRb6rH;BdstFQACw+L|U5oxH80EJo6DWPhW{aIG(uk`pa*eW%&{)6*kecY7U z3KP_7aSh0K0$M>mRO-QM0CYz|vc{4mY0xJF9V}jwT#rl6M~udytW&mzl85JABr^Au z(ps0?eNv$5La%qjll8o@T2(TNG~RK0GOT}9iYH6S=jIvD zSG?XlrmV=bc9BtgrdmW~`6w?Rg2ARG(Z)O{aLzdmoi9;|MbwmZtiJ5_9@{@lg&EXc z_toxeDaJ<_2Dz=NP5#Iqnn7OJF~z;{9)faY!}YMX(0t_pwKR_Vsp;?vM*|3bXs6Z{ zy3a3K*o4KYfY(j7c(hvm;IVTtg6PsV7Y9m|@1eBpAJot1iap3aP-<+u>sB!iP&ze9 zSQLeFVEM9`+Z3jz1z_9M>MwfY!&`yezXd*s)dKX&10WQc&)?;t)U%9y9mo?F$}8s@ zk-BUs%~|EgZUE36G1O=s(Ybv-$to*Kgh-*xCx<@=08;1-z8SYMz)6I{LkR>{(w!*` zxS=6gfnOoPK5QC=%~krkYhY-h^r`o7Dk^GqG)#Kk>M{DXmL&#ha>kzLZfk*XBvC>) z!bYoj=fY^dd6U9E31ylV2`#8|J4;0ub)dsDZY*^A!m>L|m#UA3`(=?8(tC%yw<;%H zC6wb~`C2*)K>+F;>ShtbB8Yn2J{PK_^Zz`p>Rb%F<2zr+KcVVGM0P7ga4c}n>erc%Y2BhRw(_udx_!J^QhZ?OALVQ- zWGRGwWWoDB@!oJlj!dP)m_o6%0v9PXl(zIStSC-(aJx}3RQtyh93u6cfyVfRxxo4p zBhr{gG#0Y=R_|z6w7SzgtN9q8Y*Kl7ULwf}#k}Xiv3K$GycNSq7om4#L!k%Ht-FY+}K-VnwKqzY;;(32#qHQBe4 zk)&wHBYy42Z6h19FFmc*0V3T*MZ{&2c)37Ua;U@Emu6Z!y9NUTVV+gXZx<#;Zq$t# zlKRF6yGs7XZ&!+PKDls!^qE8vjqMDTN%eGAk!DvrSODJUa39@ZNeN3pyK8ZtNL6)$oPxq-py;(YN&$y<`g&63fQ-I` zJZyct{%gw}+w7cd6!Wha*->3SE5>Ps679^AeR!*9EV{)H7;iH6Mn7E_WPYhE|LoaX zH=5&FlfqoFUslpSv^Q#+_r7?~#flqibbs{lLf+=0tFnR@hu3D|Y-2yBt3zLw9Dim1 z8{Be}7k_=(0%&n>j7p+n%Ii(Bb-%_k+neHm4=w9^V{>u2&F$~g9?m6K>VARmrLdi& zCJmFe>b|$Mbyk9@DYK*c^B3p!EI|dLSG#pAi&EqPe8M_9XC)#%M>PuKH5qImtCDDY zKX=`4FO$K?3C;Fe^Cs`JCd!in7~W4ptAg70h24khK7xpK_M->FbE)0QCorl0P=wp8z_pjNbMR^IHAQPyG`bb5j&&1?Zm((`+YRKr6f?t+2NfZlNYYSCYPfs zmlfmsmr7w}#NDUthJ!r$aAq6!528on(TSb;pz$-mUZ;5v9d>U?VW`}?S!&LoS!8Kc zdBBfS?(*+!{sAr7qM=VC2Ku9@`P(H9q2G!iz(_MTvC9puu>QBVr5g55A&4hmqge z2ffRNkq>cCqnDgHito>&oVJe1q6|7J3g$zMCzz*LMu`7}vdmSRKoLHbz$J=FL&Ou` zyGbFZfxzY^_z)*0Y;u4t9ABF1wz!D7sA5+(BptoGo|z!h8mBSU|DE2x-$Ap)L3VkL z&C!7~nI8CVVn8GleB|4-9N0|fu^cZBqO0St_uvT#3IY`hjI1*zL-8|tQNIuhHV1BT&G-K`{P(SyJLI-`q@ zBvD~cM$taf-rLMgU}egSs8UD6Q-2tmYTq@Do5rzk7``9@zI z%MHcg>nK`Ybo-k``NU}`n)}mSIK^l)UpMDL+g z*zAqsx*cw(ZHo{7p(ng$>4{q zlFaNXM|RxCoUM!eMGlK#5|1Q@2Uug^vMYLX3jcNrVM{F15E*Uk=XB3}a38D!$uTS6 zw%r>Aw&k}lP>+qe$STGSUCo;i*O^E5J-G9e7H@k1UnGh^4V$)|lmtQsAQx$(@z%!8 zLTU9&Q3IDona{#s@QjeZ6bc%++}E(JO-_dt1d~prlPR~TFgrLX^A+~gItsVQ?+6Gt zZcQNkit5HHl~BV9uUx;8IIj!sv(0W_O+ENZO)xb8ZMd@!lcs z?Z%_Cb%r9mcW@kyFE;a`J7{qLsjj~v9M@9*9X2yqQ$3VcCw33%aH!d<778x4PO?&L zE~+fk99HD6UNlNCPwq`kBrX!SKS73Go>Y#pfjMmVu+~1MPVCoAaQ?*I@?^!zKzL7q zJq+eV?v%p^3}%et&|X>{hTMULT?}Rls4;LxhH&K+JxKD5vY}*a z03%nlI-feyCyTSqLx+VvK3r*5#DZyol*?nMSet$pYRRQ{+p2aet$Ve3ym2DTI9E(g z1FqpGw~loEAth|7 zD6=f#C(nE7)m2L& zv%LBf4Ee)y*(0Ya>F%b=v~IpQ`HzHs<{pcoxtyA1+S=9H)4y2jz=WX&Zc+jy9Tu)3t!{aKl?x<)$oeB&iw$>;veK}v@KQcrcfu$o2{Eiy;^ zrl$SO@iK=qFR1jyxi5~Sr5D!;O}Ket?CnjS`Ph-5j0SBqoa~dtCK=_9eR{jM9{@j& zLN%9(nEU3e5}Jta5sowJcm}lboq88O1OSpdH5i4)6Z{e=osQo%|5OxamvqkXHA#L~ ze(*rhw>tNuj?b}e?gy>l#k}U|`MtA}oygIFAa(tXyr^?g3qDlXdl5Jp&?s$A%&8c<>h-&N9{FFuhxZ>CFx&lx z52(THi8Z#4URJ4MJE;+({a*KGk^kWMdp>LXcm7bE`hr7 z)^CTV@^(4XJu}BV1${P{4{v2kro6uslW+;>Sufgn>}nb{bXa>Ju`|aM5|YZ5htKMB z3GfjsMl};=Nw9vI@*h96?eNLw5@1MMoVJjGH-pD~NuLg4{}FJ;Uoabg2b`oNwKvR} zxCAj~p_TYXc|N3~jec9t8T63xJUZkr;_`E`S_Twa1mqp|J4y;z6Ia0cq8&*+oWDms zS}bO3JpdG9w_iSU7g&g5CogPCe4FE5i%w_kI!T9090;Rdz{zFdancN|Yv@vj9OWG3 zfz_jtSuTO7<+h*XfgL{JpJWsxkvV#o0R{S?ttw(xTMR+Tmha@N1c?=Ht6a_4-Ah7W zW1<<@lEFalsstHa%ogJV-Vypb4B?nIhSto2P@r`Da_Bt!0SJ18!Z)o=78o_^gIMU% z;$nwyX3E@gY7!#aZ@<|-!;nxBiz438;3 zbMZRJ{0v9r10P!$RP%EsXk=~XM+Rjfzcd4xtGLlpl?o|RSh`@>5QcNP=lzJ62ums| z>&6l? z&D;g(3FSlWbU9JagnP9gLW2?o$I;;saU#q27_2xl6K!O&-zbMLWQuEX!41hi1Fh1! z$Sp9pj(;#;E~LFBX;eQ&gL<-vFrg_bAqM(C~kRH}qPp zi5QmEAfg~VG@;aYRR(cSEn*feV2hi&jwhsQcqWu0t()YRQ65TGeFGhE@WUty(=?`b z=6W-`_!n*u&&$E(4+dmNoNDPVGpFpH;b1*54%WvqsMpCmDA{Z9{ zy||)y@*8g|2PE;B2H$Zg+Nw6b$%-~~>KDdk)QKsNV zG0S=;pj8Eu%rwp)72BD^F}SrT3XZGi}C<3vf-~!$o&(6ilYFMDC z+h`NQ(ZtTj-;Rwy?(*Ch>R@9am$B$^eg(`cm48qu!#X^QZPA}7nchwPE+=qrCoT)5 zqDy5I-6}cRhYu(=9K;nwA0rejvElH{uC0G}Z)XBuKP>QM{B0OE_bBi(NESn?T`f(` z3qd&(gO!d(b{y0<{sqc`kDiJUgej6dnbIm=eSTpcLh1{%&&T<#|lp6_3Mf5Wj z!p)HrJp*%Y2Q%Agu}^GhqA~##u_?miVv}<@t-(lHDiw)16YZ)R&a`c+PwYZBg|8_8 zOia@hv<;0FA}RN(KptQO6|-yjy(vm@JEb+T}y~?bbJfjQoMi zKKa73>IbfpaV$2w1}Q%i@^iY995aL78rS%EeBbCMO&UVbxGk%k%MV^bP@7#oWA?f2u&k)Osrn3AU;j zrV$gQ6UoTpQkn=>kVbby#UWz^fBNVwk<2Tj5dm*%9=l8@1xupPciML}e7=PlsAlgb z_0cKv>!p(ZjShDCLkc|RhfK~ywT9|&S0sDt0N1w)oX;W|@ zmq2vhd9p8DeHY6!inZsB?NB)7SIahutSTz6tvj=gc1;IMrk~4&vT0snN)m5Y(4IvrJ|b#?C~bas{wEc&AxTBVK96ciypneY>8 z-SXqv1!E$qgu30!7h?u09>E9dF$&PLMnQ}H)UVJIf>P7Y-yldrnq~H)f;@gpJ{G7IpFHl z1Xh$1dE}51>KmLr63Rz66xTbw!q5{FpbigTB!-ky`LRM$XzmvbNz^8cLM41{UC?cD zyHTo7!GOQ+w%&CUB0}(X@t{pdj}!RdUZ8>2eP8q_<4^UWN4jf+qb|75cP;s!IU8RTir|sfMFylq^RGmVKfJnpI-l^G;D@4Eyk_S^$Eaq>^`wbIaZi`>I4{ElU(i_gWd2-L)y!|`c6uDxc zt7giUg7r8KbaFa>{giIJO!;FuugBB%O3Is!ZPvwCwF!;sH+>Z3Aj{Xwe6u~OtLdi{ zyHuH%3tW^FAjTNwVD!!*_SC5ke@G=NZ6|7YS{kq*tX!f#nb_QJqZ!SU+fs9^Tn@(1%n>$8Qz{~iL!OQr&-e21+eH|hR zBL#Iezi=(-_akG4oe5SaoxJ`$8xuw3fcS;A|6h3-w7*Is0{Bw`DIonIIe&v{dEtJ; z2xaA(7pWm(AfY$`3G9gsDR8uqVtAZ?f;eRUiZ_&%OEIE_lm~JC7sm)Df|ay2b5nD3 zws5E5{FB>N+R4J%($2|-g7ZJ<4m&q@kKd^%IQ~$jk&tlqF=Pc35K#QF`F#NX`xEM@ zZ06x+=VQph#_=2N2>$)gfib(1+5Z)y!v7ops0CpEA9RuPPp(-_PjioVF5q+E4c8yr zKd#8GYiH?U>u$(loS=e$NBFz8npPf$>}pan#{WYha&jj?Qs5zQuuFJ4I9PckkWmoQ z{?VlW;3xkyQ*izvqVtz*z=XUw8W2C{1FWW&1sMC_|6s;3Fw}vt zMWwF&VpuV1M%h5?3K59Dd4t3s_Z=%2@eu9V>01`u_y&^kLRtjZZ(DI5aEvK|G?|E;T;yVdWW`vWB^{U^Sfm;L{G zh6|8zj!Xf`nXrq-48_TpfQgQW%*z9y0P^vJc_a7|t`N!+RMC~t`G8y$d|(I<54ex` zxc+O$pyuWRlmCKkJYe;p-+LffPl$(?|F6yj<8J6cynw$tMN56esgDAq^ND#swH*Eu zi$0EpEt=_JN?LhYFsL?C%i_aT59kdZuQqyj#@@GaV!4$p!77qiUcqo=fy1O^yaT&h zsI8A7GqLy-NiG?<&Hy*){si`uQNQeO1mfkG8E^ zQWm3Fn6T4aB1thSa|b6feq>_+z3Zg9FGdyj`qy41I$IR_CopM;x5x+PfAt}_ z3;BPKKN1Nrbl!(un%#rli`~W64)8w|J-Z|rM^B!DOASd(%=P~np#SOW6f;^#;uI@t zNFFFIj^Ef?NHAt=l^A5ZE|vJF{;B&&2m`uqN!dxKuXE*>?LW?2O)xCD}-5%nV?sp`$lCohIY!236~!})8B7|Tz{$!v2Ld5>VDc=EsSES)vFPt zm8MH@JecPNIUGbXaW&JrTTM@|QsbiHQrQhKI-$Krr9PomcLhIboZaT|$V#7B*k)iX z;}KQG$_OeHBvCXZod6xbjjq!t14r##r={&Y(y>BKhrFK%^`y!qd5BfK| z)}-UQXsGaRx$C!|9`aKbb?4C5s9ejhBT6ucXv^g@v0J%ku#%$vS{TaF>|8{tKpVvA zO}cq7C^7)cvMc)*n1le|r9Td?rI6q5gexAaeL#TJMt~&#`p$!_!#$F$6`f+}m4|0f zCIu!CRR2zQZ~}+z6Qg0`W(4$%aZ>B)_{?a+P%X=KL7cc>?j5C>XA}Agw1Z#sP9=U8 z8zD2_JOvK-R^4&&d)D%w>N+_~0*le0g(YE6NWm30%;C>qC)tXa+d46F#-Dg#WyuB8 zv41)b_6$Tr3)yvD-9$e+)eHM(<=v>CUIk+bLUU2*bQyS{Kg?S4tJf874MSu8ktFRy zwTN=!E4EJ3!V@+Q!f3@S4tW=E;pWG{3x^iyQG;9f(rN39-e13I==bp9y1_E1DGt>_ z;7-{;B%L(S^_6mc-Kl9&Ehe5b)>mQX6aFp&Z&F?vFBfE3OiDM7BXu~^qlc4sP3LSl zsM*`=Jqe7f!$nFa#V1db?2eJ_)?f0rNEzgU0UpRk&`U1tOA=}FRG1!WW|#U1C}DAX zovKHh!&D{d+)Y;INVK$$w`!17b;+=t5b*skC$~LmpPis+eu{KHL3Cz3*xWO{L=D<& zX~g59<8pgz4nj;@G!V>}#?2gMT#1)%fyN=A-52eeR7@$-ZX`E?BGv>oC=|Mx?gKS# zIK5LD+p7{%;X{K}P(j z8k3D7S{TR+7|1_FP2PQgyiKu-6~9DHx5ep5?2N4QS}7>zk*+mD4heF#e22sBN;18h zt{%2dm?eL7(=u(#S@yx9<-ybyQK`?A?&Q1Gz8E?-hu)pgXu3{_L^TBpjTL9UOnv#7 zP1BR(eM#VCgD*oQp=aZgT#-EeJZRgm@Mcuhw7T{MX84UyQEm6Kx;PW%-1n0yAoI}) zxA#4(4}>KktddCKgYeTQT21M#_Of-h73BM#luI7CM)|P5#>wDuP5T6EbUNKm4+i_a zgGxv)To?h|vF7 zmQ0qPtaY_l+P|^-op)K-mHPV|6Acqh${zO77<63I*f?a}`L7rkJS!bu=B}oa)*NGqUJ99wjO-hg={tJ3!;$dR{ z6NkEg8;-Wx5Zl~#?-t@31(58VgorlrqVd{?_EbRpoib)IzszTa@DnuqnW*SY*HUSo zx}AZ95@%7^3cQ|UGa+@nC@_4Ui~^y~G>sYWVkCJs_TY+HMrWNdhPZZMNVe`x_^*^7 zqL6S9;P)-{|DVS&I6Q)+ARzktqxTO&Eq2L2D76v_=-9~r5(7*8HQbW+ z>yP+T%F5ls&CbQc*$vFa1&(Sp{uj;ia3sV;Qz`xtyZsUHf@84Xd+_!z(bOMO3je>* z?!VMI{|oJSe@AvH&$N)32{&j&kbndXbbNR|9v*P~2KY~0r-ljO0F!_G5y1T!d;|Y; zh6aY03mhazQ{g3yBO?<0IX3{a%4q8UC3xiFPqC+iqy$eOqUaz+>9~GJ{r{<(il-wu z%BBF*{D2$z*ZKofuIM1~dH$dr`A=F&XHO>&3LbVvJ4<&%?myf@@dw2T#UIlKFh|hu zLMQ;h6n1(@A}B7tW<`3)Tu3BdEly4WZcYIJZ^{h=WZGXoH>WZ}eubjpv*6`0x8&hw zSJPR`8_~#_IgmCjEyE_AUA;TpDhOa0PwH8;9mMyWw^OGetYn@ z|NpPw`MJ4y|LJ~y9>8yspTD<+hnweL7v=%}yVAVB=VJfJ%L|^%{m=GC|8wy3^8Fr# zf4>MH_iypnf7pP4f3<`U2qy3PS32H*d6kd%pEo9egALCpA2%y&R3rcZhzgF delta 64547 zcmZs@1z1%}+dnMb-Q69V9dvhhcXxNnCIzI~(jZ88gERt?0)li(3DPB{fFGXozTf*i z=lmC3*IMhInY(9(-#vTtxdOTA91+T-AtT2H`d<$`Kzfq8fY{zU`w{ktDO_%FH8{}c=X^F2G@zm?&K2>eSy{%2?Wv!4J^5cn?|2*Uqw zngHlOXwUMWF9Ciq&wmjArU~%=OKU+M-hWvq2!{MiupmF*zq}2L$u-|5F(tm|x(Zf`I}&kbm|A0R@2n^a6+%!uz)j=>NqXBp}HDpRW1i1@N;6 z|7kIp4+Q#GKR(EFApi2)|DQ)-K3?8`(fD~l|3&-be=z^QV+ZC3@&D5cV1B{Bljc8i z1}p&N`!9xn_z67s{HHPkyn_Gq3z zzm?(T2mkM^GyVVF#mmnR{HGtr7IS? z!-kcGg@v7k1(&UbwS~ojC9Z|U3%Ej33Iq&<5n{O*VG=S@6(yl{9G*>h6;UD@Boo~v zKR4)f5XgGj3NMbHIejv;J2_e4wFy))!hzjfy1Q;FHI*4FciXE?_A>d@+{*Md9%A<;cJo7UAPL7f7=*6bi}>G z4}7J;GWIECTQC=P_ON|tvFs<8(yt>h5Y`wbEZW>y)7Qw8wRqJI8-;ru&WS@?%+gn& z3rtK7*K9@FC1Ig$L$abnmfJC>)rY%a344L?!U87Y3JYf=$Ru-x!-NT=ph5pk*yr$Q zSlZjFSX$Y-c+&!(bMk*E&o9qO`~0F4=wSDE#jpBJJ+xW9#PQ zZ47yyu(VpVf3oh+?Js7u5Z=Gv{^CaaXQ_N{<9)s%{kaRmMo|O^{zsISt+%_cm$j`o zEeMo(1csx717#|~!%;%Pf23)Ni2-B-eB`x#EPZUBw=Q{YAnl(C^Q@!1Hi(w*FFDVT zVA?+$!C&3wo;7>!DF=Lx{$CyCK(v2$o#!EPU|P`MBjg~opubI(kqAhrj_O{w&acB>aa%{s{P=O;yU$+xCxWfV8@lyo@A=w5pT= z5Co8Qvv#*}bhD?00Aa~EwD2GSm$S3r;^go z?6iP9|ED7_5T=er2M^|hd0`2|@xU6eyjl49o_#Cu$3y@3!}k}@Kkt9H@IQ}ez#@Vb zW}w1cv43#?<=X$JNSVJa_z#(2{=Y2{gf-%DJj;AG0Oxs0c+M6cS_ls>E$_35*tm(A zo1xDcY@8bgqrfxx`vr<;1`pzYp88DiJRn$qJ|#3kFHlEYpE@)-r8|tY_NUY2>}>?c z0#eOec0UumIde}XC}J)HDp%7g-H|C3d1v+K z-`17RAGhDXO-v~JR9*j=_>tEw?)A0n>tpCw_j_(d0bx8w#qp30!_JW9G)J)~(^#$^e0AdZpX{ZB?_+tP|6>o0`V zc-lnG-97ti`rTXKzSSBOB`ImjvJwzJjkjd6wt`ge2ZP`Sg2w@o+kgu~~ z1_tXgt$ZOckSS+9WB>r9Q*D&1Owtlz;=3Xf4=?19+{KG} zL;DKvBL}^d8ZHdY3R!Z3Ikwcws+3^sOa)Ph;4D>!UJ{!^DuJ;K7mNl-<=;}SVP3#f z@=Va~_I~ZnoGpz@fQW~RXGzbUg6~CN$t3Q3=_dp*;;bTgc}jWokQfl%E)6nDcXHU$?V`#S zKNR5NTw{RTjhFF3=8|~=PZ9#nUf_gbaFh!dQk??#;ml z?oaLrEtA-I+=Xs2tSxxfr~#$Xp3msE} zqeklI>lw+Fg;8AdbEM+^Em{*g`?hC<5~|6TNWwvLYPkg_;s;i|`WOKtwn~LX#9d-V zUM36;?nqH4d7-{X=a;pFGUld-T^uO-Lqrec#C^R^K`C5|bC$qRheUqpu)DqZu~6gs z=-PqdaWm~Gi%7ztQyv{RyW9$AAfLFpKttgXYXi^rv?{4>YYG&FC{G5Nwr!In(fpj!9rOzlwmZSmD`;*8Wwy)No^==Ak3*J6zJw<;O zoUpV%3%fs~nq2)t>23)OC4(jSu2^pHg6C+RMhBr>w{1T-<`xiD}xQXJix( z`F81o;M7)L=?rLp3mNR=v;ibUk#->$Z{eQApF15B(U`8MOtq0E46Ai8jS*&2=29I7 zgYMp)f19W;yrGXU6+mg${yMP3~M&8hyk-*JDT)&w6!G&?Ig&Z7yov?d4buODnw341S zBs=ct@&Xc;iD;Mgb=XJLKAlk_HQ?NH3Dz%sYKdSKhbf2g&Exal2SO|bs<6-;$_He# ze%8BSo?+%d^Iyp5(3J=#)_&KbhKsksq|ltS{ziE3PAu%)ek%&PV`?<{4=-)F`)GQL z!yB{eLph;5Ps}&=C`0P}iYq^oQ-&@{ThY>Yv12MzM=WDYs+(y$qMh~M)pG1|Xap3z zPCV#)=WH2T)zuTMKGyc2lFw{D(xXpY@OHH3i%GZkK;i_KDD+*&E3{_9F86 zf`->>+HVIZX`rDPG9x&`2Fur4U;zK%PqAM<)kHr@=utMxF4FKlNqyVUWxXQBjVeV| zgLBApN+n;iV04jM6s$!l^0*DVif~(4muYwlOMSPF`AJcWi76kjJ3i@PdPvO87;3Fa z*&OnzF+)U+*vM&1-guN@Ai)5;j$RDegD-h1npPXOP@)UfzczOXK30MdMFCjW(k9#v69m` z)R>&51xVri+N#FVs}H0ip_eW-9|%tS(5%&N__C9|C|J+Iv953Wkg2`}ydBuxbPY-b z35e(P58^=+9%@Kl&Ur-%&wCDASak+BNloT)_RhhFyEaU#_@TxSeZ{-zPf^LmbTIGQ zi&yQ*(s?8O)8>@GQn0iY53JN zaLysskB`c!5h%WB@&1-wkZj{e^+ni{rEuYsb=wX!T2|9wTrKDn0tkA2+&L{$hg}(^ z#9-Onvw;19?B}oZoh8T1U!UdzYp_F8x(yJ@saW-A!V#c>d;0ACZ=O82A1tj8>51R> zKIEjKt=;$1Ano9`$J6>s?0O`f2k7eP#8j7@G=if##+L&YT)w0ow0t5x4j5yHWUKKSKI>}~Y^ zRCbv8Q1RJBm?6(??k}E*p`h-J;d*+H4myY$Ec(dlzHnyvVL9zhdyI3E9EH^GRmya4 z3v{|kU=$fPanpaUKA#udQBH zL6sMh&&rai#AZC+ba*gJG@K}k^;ZuJ7zOPJF6XN22L1T{t|yt^lEbwwVtI35kI1R1 zd3S5?_~oyO;Lcxsl&JTxadpSD7paJ!gQ13PUw_QlSnjf}j4@==?x)4lj01{tHFVu7 ziHY``z7a*|G@(06Zxc&HiihhN9u5OYds~YWIGlMi-RwJGcWJ%3j5cEx4e%Z8k!kDD z(a)YNDSi!6YoE8JSACgI%?oM%mHQD$6Ourl4Let&N)XI&nR3`2z^TGK@>kNI?}cgy ztAuV5gCa&ZbBpY+II1J*;6Px;r>@Ha(SKsOVN>?YP9`JRbM`ULbO2)-W zMt3~+U6btis?ZfwyFbT!6Xk`_s+EuX8@tmXNJz63Fo7B{P=D|H7Fj!;t* z@u}9*S%-$~+?#kb@w1*+b*oF`_xMnQ%aC>D zLV{}rc&=4idOHA|06q?0wze<_7I7lb-vIazR8zBbeMY%|;2Nx(Mf(pXd&Uw_5a>UP z1v;tX?gKoyL;ld$6qQ0BJ!#>_#$RyZOaHEr@ZT|UC>d_d<2gSGw%4x0ZiI&RmIn*k z=dRCA`4ZTiSvCac6`q(7cu;cp)90P9362s$^7Gxw+gCOMMn}8*k_c{u7qJUlN5#H- z{38S} zo6jmYK)PEa)sY}*j8|z7=|YLw4iHnAbKOn+=G#K+!(@sE{XqnlY^sn~8i*gdU;^+IT7XMs`7k~hC0J^l# z#VjM(6Q}I6^Ke<25J3V0Ko}eu1=J-y(1&1=XqXojO)?=YkM#p)J{~T}ua9Zc3LNCc&M5&)EfK@qboil5UIOAG}s zePs70IPU@FoN-!AnI$Zrw6*XF4arMG`c#C^k6?HX(BKy9h?WoN62%`Bg=a)&@6Z*aOSD!z2L>? z+2+ya>F43+Wfo-laS82;nA5Ds?J6VxOABTxJHUJpZwS@1oswnWm=o$gJt~=t0(Z*l z#(R6PskWiEQU37$)kmy*#X&cI;HU zW9Fs8vFvNzYO$xu!IeZw8ML3oA6K8@xNE%~6#ghBGSUMWm zg>(=DA9NsweeOtRh)ru=pqV4EE-r7YE-&|oobk$u+)XD^aZ|tHMQJH9@oBh~qbmuq z=%05TS`EUfX-xKKz#YB9+b+YHRoM-}Kk#_7Ip`ny!+;Wx?N+?QZIc_Sb1IPn0vEX9keJGZasCa+dhE} z%Wj*-tYn{3l=S?#vP{IkGFT31)o_JN?W$WKW+bQ7^M(@Ha$41B(Z44YxMHJQiE5i0 z7*gkH2Yrl==}J$#GCZKLE3l7>tq z(~@&9HvwoTqfhNwJaWy^R4U4JKrV%91ddFmFHN4YM2)F#y9M0!l<@GKPlzf%z65aY zH|p6yoQK|nzXM`U3rbH7tKWWW%Y54$l>$oiuKhZ{$>hh{qtz7FNPAoxFaV;@}zS)JL3E zIVb4jH2fu@9c@^va3M&7*BC2{R(B|%hN*o>X||McprGw4%{RePOtUc9uk!V4=8Gd& z+V4eTF$W?sI1PMjl9>nBdfx9+^SISzLRzA-h5>eAlQIV`Et83>a7Q)t(dRO5*1v_Z zmMYz$MM+(2PY>VG@j{$Mb_>~9sch+Z+2y>qHubkSG?2Xu;mJqKmEUp`sD|Dqd#Lye zhVa^Z*~9Dt+240#!iOx1lxrbGI|N&$-yLhSmfYd*OT{*eat2%o z@Z8#>2e-=F(I&Z6vd(`>CVqa=l+F}3Sq3^m4rX#gP?JYun@IeToMh40HF!dU*TZ#5 z4Xty!AK>=*={nE1$@Nalw#DRa8aaPI#3GfXz0#~203a#Prsq(dl6e$~`ZSZmZ_be6 ze(;ooRNL!zxcc3|EGFi9gPwf7vBgM2`!%9bY6mCSEkg2_bGfQfoTBXB)EAaBDGJVe z>qK-7ohXK_NB`e&=1~lEI7yBS(S@QvwV{Yd>Zedu8}9}+l2af8@4e3{*n-&!Y}9W( zp~pawOC!`5!`0l(Nacy~_#PVNm>)6jX47 zOZ0(yyJ!&_kI!tH^&3^~;V|y2Eju`yY}kUH<+D5~D--eeKBwzddZJ8LeFemFKe0Lo zMm31-I7<N2e`u=OXJGsAJgq}{AE!wiMR@c=stTKS)zG3p({&3( zml`t_YrVIb^K>4;h+iVoq)N|Ko$*pRgi2CAzc|ecF?=xI+;m-JRbH;j$oS|Gsa#wn z^atZs6C8)~JsE{Zu7UIM1ghW6&t0wV>CCTlOO%H$nyn|g$G{0?+HYTW8KI7;5~PXH zUesUmCN=E?Ctb8f@ha@#I<`gqyXrMw+mgiV0uSD((?ri`6FU2RhVO1|f{3ZFXK#Ni zQC^jluqUERBbQ3RU(>&pt<4nw&A;vB;0yb)d++{KV6iZRJtA1O=Bm4Bs+uHmC-YK4V-M=)CbD9n>BIn< z=n!1~9KaWSB!pek>SCVWuAQn*4L){Xe=NY?WjYEqm1=nCV~Vw&7?HD(!t(oO&HX_8 z^YwSSzF~^sS3-sF>@I{i5$zK(a59209HMp0SYR`p8<1Wjl3c3B5vA)3f@w+RaOAIE z3PF1@8*m}W7Bj|tmBVF_dZk3clHjoz)MZoH~m(zfKt#S<%?!euD|Ma0`7Q9{3>|8g4I} zSl5ZNh-NR!T3JeH*9zJv8`W^u)&Km{>mGSoPnRuFwPPq(QDrSwW<30joA8lkCCkYo z`AXa&!cVLNBo3{VEF*1J7$ZJ25$dic)|7@Tsr$Gui7jjM>`k7Qzxh%7X%md?DQP$U zGNh(6MG5N zUA3fL!T}*VP#ktqc<+#~Jj|)RVAf)#l4|?4izDu2w;fws(pHy8Z%}r&9zh*)`qUTyZmKBROZ4g*d9)o?8TGU z_|XM&)rCTabh#4OT1T<)x67T8TRH&cD)Kvrh|eTpWOQO_cdt@f(a5oHyw|2j8*%}V z_U-MTB)x>`aZg+yUL?yd68v>a+L`<}q##HW)r7f;N>PFT=REMgz~cX&Vf~FN_Ckr~SW-@sATJ(36W)!73&4gZOR0>O92s1_~VLrWT?uJzfEJ_-yn;nY9RNLXrS zu?tz+z6ylqzyEczaRc6U51m8Fdv{cOA&^K?kEa%J%0)=2QosL=@OO{~_9d;DNjX_e z&xu^c5hoO9%<)FQeKiin59hub%Ktq$_*Iwn#RVCBOuYA3fx`T7$=R@e?oX@s-^}L1 zQeejbziuH!>d!-80w4l{r86ACausCmg>}>v63$QiO;XHbm9ysK_LXmH`D6(Kh&pUP zf_V1nsM=L{K|G5e6W)I`-8QvI-HzC%A3_=`ea%?_p9%6(ynR#tk-`cVphVIB`plB( zx>m+Y(uA2imlLzK`|aEVy7Nb$uHORszWwdCr5ity#X}DxS8ZHnPYi3SXSf(aWd#)c7)(&IlL2mS@DX!!)6Kcw^rD#46MIT2}r zKnN_BR2?1ydX4}iOiGLpN+FMrbU9kE6u2wWFn{|=tZs)C)sJM!;DeYzpa!E*DxFdr zBXe#a>I2vP2T|R1X|>xH0@4yL1FPpUN~d~$m5}enVJmrPkkR9gm+wU)`JBhSUug}` z!ja^*{mb3fF6v|^^WE491lvr1^Cku==(jhzp^*LJl}g6yUFP>rK%pa8?#Ph<); z^yVk)hpo%ibUZ~voWV@^VPnk2UcnhnVaV?=C8%Y!dykZ-hk<-pb zC>SvRfDeOky?g^|=3hfwp`9<=%VY3sQ~;tgav!eF>ZuFd>u>#+-bI>(6n}DsHB429 zFe;WCLV3-4bNj=sp*aB}O<(Ruc@)|h@@C>Dd_J_7NpI%i6ax(&+WVNRpY7=QSw6e4jREeregsnOJ_`5d|R(6 zmSMa(1)@IPybABNM%iKh@O?GLa|ce{FiqJNZ;xgqk-2+(u?tV6X$h%G|C$1^r3m0I z(9OP?di!br&|?)}HF-yI7R|qdl-t@4QJ4Me=CA9=!HUsi_u`CQwwl}BwGU^LBL(t# zqUo^)TiRK$ZYYmkuz%Or8DaF82jP_W*k=waiVa@k_~*a&J9@SiC_?)KjQd&;z^b9Rz z(sS+9{p=L`Q*QE*aiAs-ApoFHqvzC4rB~SI(T}x(0EF(xtdGM_WqsL1sIxitc;95< zBE|ia6{#W;D~5-HH+Z*i@bPea2u4#^fD70vu{squ{aP=E$zDD`{j+o9f@G6X;tEyu z<09O`2ZDOs07}xl_Tn!j>la7wtAB6GW7nVmHePzkADc38epI-7UcWVo(+~)A_YeK5 ze*OUWg7qEL)6>1UVUu11JPOA7g&ZBf;Y{^JH6!r;hZoLC~Zy@ew}vDx2BkP7Gj1a#asCf1r4Hsh>*7R$WXjlC^!|PmEE; z>~KfX^3wtB1gqgk^Yzh~#zig z_h#6@tM~Mzog^!0ND4B{h~h5;?p(*l4SyP? zGAsNF9T^c(3Palzr$>8FX2sfMo6ID+J7a}XFkOI^N5nMjI=stwm4@yig}{{U^Xs8| z9j4KkVazh`onK-4a}C9Zd+CDU1iw3hE~L{`N-WI(1-|N}jL`HVM~kFL1cR*2mYhS3 zvZe4*Maaja5e|G3{J@T<)mYL(isiLlg=G;pXh9vFg^vxKw*#XP9gdVtMDaIaiE@Il zxN!a&`h+X&tjYczEJVrWZaV4Q3&~DWyz2_fh8pyARq5K5d%6%@LXF1n`nzw5{g!C; z;gPfyUUQ6ECKG9fy{*@qQ|XO`nNS*A_;D~?$apP-7Ns^C<5GcQ*B`3iX~7KixeQGtqAI7$VTjD zz<8nMpRG+GD;%PDrs4EW7fbQz#v^nE8>$2Do&=`r6i4d`mXK22!=Oshv*?J3|DnV&Oi@J4-vrGRYbFH8J{`y@VAGnY~7u-fD;H7*Q#US4Qt zGM5{1aykk~a?(jG@nkX@jfD7r-B+2!jf7gng8EgeU(qFgx}QOiCBT1GOy*kR0L`hX zobi5Qbe*zl@nF>OW0I4A`?MaxD=If_oU>>I;85hI!vou9>0wEemtS2)#-my|;)E*~ zDCXU;%kvAa7LOhQ_{WtM~UzL*Vu`9Fd5aus!CuuvY`FUyDZt6QIOzEq+WV zowv%=u15%n8ci!_VLv7iew^--zzH9m435wbo`L&q#nyuMk$LLkW^{gnjLXC zv#S#cvp{MfwyTj`7Ig?#(QUC-6&Rg0I^n;powX@NO0b~3JWV=yo4rMie#jP#%Y-M%TM4G=$(V#&)+LLXI>0W2d3Z1m#U7O zDb2&U)O1Vg$X*~8h^TWA_wQp%XBRWr$Hcue))(t~J?FOn;0Jlh_|1D@R$;Hd?IZuR ztn9tntZ4kqjzVMrsC)dtu_Rlw0mh^(xS9Z&NG4^};Hv(n0KOH%VTV?l)T&~09F>j2 z^YEjiJ3V}q@y;1?EUavfDybSa4wT=sYo_!h&Yr`BAhKd%dm6P|shqS5i6&Fq%Geqm z=`bgYvoV$%i%fy=h8B&vB5-UovKiKk2em#eAjYj|P;J$W#eZXc79}nkCq𝔗$bx zzP}ZpOGEY5=i77cKv~`yU4@h4U*uTLZm15lP`euq{}>_Tu7C6_^Lrk&BA`mmtWKTE zf^(!qmk_)_svmR*|jI@~&t{WQNTrdVIg=OF+IUZDE@` z;jLU}ID>68v}#C+;N>9E!Fu#JPQCIA=Ej7J_HON0`?)zWJuZe*624FEoCiegCoN9< zxhp3kO>fJ>M3Px2uVR7hIJK0vj$LU_Hu12qTJLDYni4y;S6Bo!^U*y%PO(zbvg4Og zB(*`cFQ-1c#qC3AwL~JfTyVzTc+T(c_zxW&@RgTELXUUqs-hd`;#LpWkAN%hR#S^^ zH@_DRbSk`1qY|uNDbo(lhf%WV$C{?*ygAlGq_)I+_kmEo=c8cEy=z7;a=844^C|jha9V*5xJyPb zW~MSL4CR69{D0r1Lm5 zCN}=k;RY03wvmjo6H>Hd^c*Sc0C<|ncJB5o^qV1%?WYGLVV!GQCuDJ??AR+d?(1$R zyviQE5&8aK;zzm}J9?Odbzd+b=e?Bdx4*fVmTQ?XkdV(FCqBT@3xX6=?>GSDuNhle ziA8ie`h-(QnEY>~zr<^?^4cYmwZ+5=(>Se6z&%KX1zeAgy%Jx)=@t*FTmS8EjU70B z4SieJDaO^FpJVji+|N?G-C(=Tw*2=6-{t3>00Oi9Q43bk31&R`pr8~2z==p2<&gxDPQHQuANdiFBxCEo-o1-qZ-M}#< zysXBQ(FCMB*l3cju=q&9m&{8>f4!8H@oxsk2PM>SxXUb&xU<)^FA=s25o@^xixNTT-ugz_l}y~*?fXY1YL=}c8Q4H+{LLd-;2&8&)=G3o`6BB z3&IzH3h9Y&0%G^}x<`l>MR2{x@*^1xYpUKAmy`V{4Zl_{7!{hmdLd-7F8`M81eP6h z8YD%z+DY6Iw1Z?gq&qxJ#><=xQimS7BF#j=p~0bPIX@`o;RpG?{UI~NX^LM7HO^Gi zlk!=;y2(a0@4^k$>Gi_lDB3FxpCw8qd3~Bv4yGE0CnIa+p)%gHjaNrUR<4>Mb@o36 zkB_JNM{xKSxQx%bs!t8t)29;kf@`oh;NogzE^u0o1N7VC-`a6x%tqrbQNY9j`TL?FQ@WO-(Gsluaj zdox}1W^PD2Mq@-e<{2TILCRrc55`U zQP-my@5dNP|GCY{t7%pLy=bT;%`Wx!8wKJ*3lE$~7!xTC+4j0`?VsRrc@aCHx|d#R zB&=SjkiB%q&C(ifuUj*=C0E7OrrL2@r4|ptH1l$& ztSvU*kWBZ4?{4rgp!088_&TUF{B^MG=)R-{gPu{jq+wIMg$HAL)}(HHebAlIR3iHx z+`wgAN;L2qAKn@Ndn-4}y)mz43o4C9kH38t@3LR5M*3H<9p%&2}JQ3yX zMW|M4^x?;KQW+nFOrfVDb?qc-Pd}6-(VmdRPl9V{-TT%;&D|*t$ly^y=Bq4So<6JE zxRyPVp8|hQew=|JAg%Yw`0tBwcVt=PN|L_AQzPSJh!8{5enAHx94;pBk zot$GSEH$aMIeYPt0#!eMdl4&*%JI1!v_%)?`x<|bTWxk{l0%l?8=}th1{Jn~4o$lc z{-Jmrhu05xPz3#=4o-5cqJG2k)`=*={zlJ=BK+c#Ch%qHcQt{PrnESuG=USo2|tz` z262J9h2t$n?w|E>rLakX&I7hr(U|*LRt)5AA{!6|31!c~^X*r8`@HWnWQN66`BQis zOMXN}_RfvJF?*Bj!`Chr?H}VSWnj z$QILh{uBxQ z9m=z<9(T(i;2t8Dlt7Rp9kt0GnuIgcqID5-*^ly|SW`y$8L%Pn&__uD+8l(MLm%%J z`=EP^G~(uEGW&<0AO%)kYU01|oMAQUbWri~^YM42#_&>iyQ-rB?iI{UZ!Vem?@jU}He-Q!vrVWcU`cxg*tJqd9k8A8*r zsakmpW9cq0H}v`gxRXdfr(^lDq=?`)kuVZz6TGFl7&a-P70gPrVQykej~$&c;PAFq zwSx<(8dgk{LU?hTCJ@soDHe|=&nh<`2~*==VN!f zjTN>=Tr%_UN5Bkv`)>T_>_QJN>Sd@c9f71G#$7p$9(%S|5*8QeI*x0uyt@>fYJDbU zKM+!q_6ry+8=(~+MsM5X{39wyM>sV``r{@cl58wUi7u>^kbfqS`&wV+PpU+I%|zpK}=(G z8~oIaLs7n#wDc+U;t;v>g%JD4$7Z$}NxNNnS&N9?-N^Il44vnCP)sSg@|5SpyB{ep z>&dr@rY$dRr1y2`ljhs08r3JI%CpEPkPQss_n}2|mWd=Dn1qA(q{A`#;G_+ zZEYW&ykF=$3U{Q#Od|z-?7P}_DJc#e=%FHws1x>1w%_;Im)!W1VOI)s%3dFcRR!le zW$eXgZxt>5ZpEFkCopBoTU?HOjdbnRghk$MHCNWOdK4(gY!>ao$km|4`MGca6k)cB zm<+wDEMRu@Kr8tm4E?cgZ^Ce-OFuQnXx@>y<0UYO0zHqJ68j9g^7uA3&~fTm7b>pv z4t*;v+vnqg)E_NG&+Fn6M^rsl_(7DyV59Q{NzEoZtQ*w!vdU=&YIsc z;f0u<|L z1Yk{xjpgZ-sAeVa=}C^ILWFmR8o{NZtdo+MPF@4abL)oNYAwH38HLNKpu(^1EPl8q zd<-PcBiV5-|5yX+|K?r3{A?n&?Ii;Z$eme3gc%Ievwso_%qZpl;WFus#fkE{&4y}~ zJWqs{@TElTk1e(X1gYb?E5?yz#2yD?T#q8ga|YGgV;3~_Vc+8Iz)&6k7q*C}<>?Ol zHN_gSCljTsYRg|6=A)I=pejL+I|Ek|qxDQ4Z_JnBi_v<4KAauy;h)Ufm3}lK;?qtt zZ#Ea)FnLS}al2?h43}ySqpo#>j3RF!LD$Jp{rEWM;0Bdricouzu7e1BY|*h97hE&#WYVslHGf0MwH~f0*<&xbu;cf! zzQ(JwqubDD|)ttrq>IS%{L_SAdxHN@M;zPgzTY?vXS+j8EJgO8!P8%YlrC zi`zS#R!BPFU%ht;U;L)OQYrtoxF%~(QVQqjaua|XnHUa&&s~MatcgMXxC818v3058@@z{9wIpbIzG#!Jb^9d$@2D2t`e8L2_ z-6Xil`K21Md)N3hy^sND)7tjemqB(x@8OHXXgPXDst1V>`vIyuHB+#<@Mi|eK9?HR zrashNbR_$|6BxAnII{K5;EO^M676aE`bd(a{H&s97_ZhMT93Ru0WUs>>L$WkpwsC{ zH>)4Bj&GB$2Y$}jTy5n0b%k3O+tv4Kep5ml;vV*&gs%B!IcD+%*(d%oDS?>_{3_wRWVl!4S?wh;dgV?WiMf4HUP|sgY|bB( zjkq9EBG!PADX1Z`I5T8XX6q+wO zE^Yu%JRV;JzsNr}t2+Gnt464j;cPZlmO2)C&je}Ht8;q+7j0)(L6CeJEsU-j;rXQI zFkDj1*%Ee?S(Rk$AhCcOMEj7;g7MQ^@i`NRhjUQZY%&uuAML-bq|5hs%OTV4#6<7; z+v!ORK0f~o03&<5DFNJf8W|{$N9(0Dv{F38aVbIv0;RvE*RTV15w2xuhT`qEt;t59 z1okdSxmy>?cH4TfY|GQqpOpOtaru!x4=(d9AGrl_4%B*>b2?dC(oHN~8`;lz{#0XZ z)IXp(|DNS%Bg(_;@Hx13@!c1*S^iC+Zja5cSBhuD-3|y|$K)se+_l~Z0#KH;B@F-F zFHX|Gl9ZqKm9uxBH+$-kKu!S?6()mPQ2H8ak+aTQ>zg8j2Rt7Z1V72tCY7x?j_yfD zJ5uh!M+;`0dz2v!?)m3GE0~UW4wm^LM8Cq_sH|w{jG}NCx-#6`gm1o7`6VP*wRN%I}&d`hfDR~gO$GPmSa5xdak2Z z&FDRi7izer&so~xbi_{;8&GA=m;Fn>H-P=x6fON32#wVJ*ldhzgKv!*okuw&b(Nu2 z$WM^~qt7Quq1xcutnxq1c>SJIj!%-&=Owlhd`qD(Vs{+W;V=oj@ps4{#0I1&n9({| z!$+C|vs}1rSNn7N#@2c-4>MVzlSwPd@`{FxhCwrQa_HL;jjNmGE$)7L55Z8RheR~-rg7u@B8|03n_WAli{)X4i-_bwTY4`5M-F)!KscQb`wIE(~2{<$^ zavKE}n~~ukca8WbG+FtBNeahSea4Na$pUfJP5qU2lR?X_Yw1s4ZTW#p#p`}gFcfG1mMI3xlyRuH93QZZs0w@aEVN?q* zvs>hLU$VSvCowxM&qZ^PUzgLmESq9E?RG*` zNOvlRckGh#i%6HB>q&SL@!hK!yiyJY(nr+RB0-0)z$B}3yBE!S2S>(Xa4*>_|Ur?Y}hfwvez6TQv~o%b|BNo!2Uwn{3!L@eryg} zyfgv0IPcx&#|CorKK#D89f3am5*7`845b`f$)lE6Lt6eke`XH#|5Y&S_v_X`Y+WydWJqh-0R{lEy+X{ITq8Fj)*Znu9LPg z9VdlLJD#BeIyIx{m*%C} z#`Re(pF9j2z7e*nVkN%Ri`y-L(@EQvQG-jp5XYhxK8@k?Lmot4L@ zsd?7%yfzM6D;TzME$4@^$|5RLD>%)Yvzg&)X8tIbGz-&GfdmE^+n7lm_y(2O)RC*` z|6}VNgDeS}#qY6qY}>YN+qP|;v3Beo+qP{RJGRXo?SJ;U@xJlgi2I>GoQ_jjT~(RY zU6qyj`zhISJZRo-a1^mTlh~H5{AG=yH=P)5)%jV-=AGakB=**=2 zC&g11=NDZ1IO1+Il}3+h9DTp$-7f$EW4nmIC~mZjztWJ-$E73M%Zu(*P_$I%7ETrm zy?-jG*rW!J=&X^zg|os^$)sk}X`)*dl!IR$;~6E> z?u030?odFP-&jJ8gQk^E?t%;8g*($$^5*L)~+;mChhnYusjf8EGXd467 ziZO)7%YTkswuJXGOe^+lhFUVHc+Ic8u*N2J<@NUq zpc!O14ak}@iLR!``IG=Sb|VF17^phMcNK}I!AI*gvWTgjA3uz=rkk*mp4+Nu1&c`O zodknq^cPDdr$Jh(+VLBun3rgxQ1wxn@CMdq=@Kj|nSs;gtARDq8%aeLYNjjsMXCg( zB7ZKW*cfGjc=GYm{qidN%h$jQ$bTXNv3h)x0p?j*$ z)&3bJ)%{4Ni!&}n84yY|8mdHZj&FrM4 zKEzRRak!-Zy5T8N!B%HtB~m87=V``J_|M9y%=R_BM2WR-;9Vv=zoV z_rwiSrAfi?5({2dTS0&ERoNrHxt;cHesWq+Kf_Q~6X;GZ!CtcwetoMsBK{)aX?p_- zuS(@59`p{eY9H8N>)Ky_1KNl0m?I>n{G7cnY_((#FI8gyQ`E>y=~Hr#-_D`ONi_(D z?t3>R$8j<1ttIsbLA=K2 zB2(Gp536>=omxxF;cyaW}$>@p8gyN+nFUP-h+p_=esP=5B2yf`TUB}~yEVyV%J z8grwOCO&EwgUXy%Ts~L?GF3)-8A{g7JxHJ(q-JOqbh-glt7J_h%Z7?NWG{DWov#s9 z!0t_Yql8&OV1$rV}@3TqtL$lY>!S*3pA|X9Ry+vgx_-v>qfsj{*42o#n|ry zqVdLMBwOH;D9_uIO3`BgNsg|o?nQhzZiCzS8ptWKg(Dg5$@$qhb*-7G{OEk=TT8tR zqx|boAi5pf%Xs>e&EK{=SJlX&knOU&NGqc#_<(cGz&M{mcZsDHs#`NkrDzFDTKrB! zi4$Nyhdxiq--Rf1s3(S)sSu8X1?%-6 zOkQC{e8ey>xorlp>e|;k;M)K zDhp6#1h9giw}x{KI2`7K`=cc_FcOvS5tnoE{R%^Zq#y2oA=l3;-VB{bdD|wrPj4M9 zy%a#PzBfRR|D!F0XWj4`phMP<+h7%R@x*YkoO-|r2U6QWQT7q*S9a>`6V%sLuy)CGSkPEuj>i1+u&&7uCI+c)hjh-z8n%5TNn~7 zM~lv9E=qRD82&RK<=V%?>NKH_fF?w(-?`|RvpT-SUm}lI=PwO;gB98}iB3D|F*_^z zB@?vM<5appP1f9WJcTALA{1>(Gn3sqJph^DmJ0N?zlClbg9)8ZP`b}M-+)HimYYo; z8IkjRw;SG<;+J`vk-I(+*&C)8;c0kS#H?iGkO*Q!^v;2`Owf)~qg+*_>zpXgBv4;B zv&AFPwz@9v<30F~tr)MCP+hoVz6d|&RpDWewN>pya3fIE9kCxwgeYwpD>~Y-ALxH18uYG~6U}{AB zyrkyg3%*=FJVnlY(n%3lM2-m{R7p`B&fBh&1H;uw2d)bu599TG)Yas2k`}t}+$F#0 z77L@#lrjjryzJ+o-ybOYfEua{#Qzgn%le;)Rsaht>wm>9|Hs=Hd&vpExk_~pa#YV> zRP>aUr{NL+`B+gIIMOM=C?qYd(tzyfj{T#HzEihI5`skd-30LA`=@&7;}sqU&HLl& z=vFe$q18b@x3_iR=x!RvW$56hR-otWPt>+U)`+cZtLPVE-Ktx|_YFG`>85)hmuho4|Ao)?x-SFC-OFS`pi;qD?%0Aw=s{nP$|j{d&fC zXv%RLX*Has>u+cC5GQDZyv$RU3{r!RWOid;2?M7(JB9nj z2QS;%thHn!g7BC^S91UwoW+%8v_ zla65cxxbiU95S#L#S+*I<~;g3XwQ|E_;mWS7BD6dp?dm>xjyp zO_XL52*JTrB`L}rR3;W&+=(=fHF-h_pXhNg*IyGo#g5if*EF-2{8WogCs@oT<}6$3 zd?lHvufPg@T;kUN-RzpwzIg_u2d}AZ4AorVI5@(oPqZ#$czOmSTG56~3fNsJ=(l0jjG&I1c;_*G4oL*hi9@dNBIx4^>N(wiV%{1(s@ z8i+0FHJSpf>bxVGn5Ne>Uks;AZnM?|fKEs^pss+RcZY}orSAJxmh?9FZA6w72#P;| z27Q3d+Q_*ER=QC97s)IZj+Gv^HTIdxm#4}G;xEc(vWFjcOSWeB2*5!gto7(z4~?jmEcsYuXhbYgSF zTkAa9qHB>Tt|JW96A|dZV%Wlm{8r++Om! z!Yp6_!U9WW4Abw^NhCIzfehIsZ>-dfu_?WWS)u&-b_|mPeqqWzqoW`?{uWCJ!I)fUKwy9Ic z(1AunmLoTz?SUofliw+#P7^=isp)EtHik1Pf%KSimrnIb z{R`Ks3d(SNNCO=WnBd%vHN54eXjh+oFEtO6`ErSd8P}T%75hn?REAW8%y@@B)`Eu_ zKwNk)Id*&Vc@_VWK-K!AZ|S~KGymTeFzOQjI-T{c&7%0Tz+BXz5 zX*f%x1!}C=Iyp;zs?O4R|sX?FO-b83(Q{b{caL5nX_>aoV z{ZM336I$UxH=1q^8>kK|!kICvu5JyntNt}nQ+?OLCXAZjY@V929#R!5rtV2ctD>zE z?4cdJ*`f-3{=`z5XY~Wd_jyw1iq8l^{>j_K?DgjdX|l+ihP=t~qfM3dgC-hcnqmb6 zYU%3iWy5vvh8lF`m43o`IDiPjb8TKjo{EYxv|}H;)YMBvcrV*boPxP;kizJwNAT$k z4k7c|%Reh+i9l7duu;CHG&?)|AC(w(dmY%%q<>b7u@M04i~Fd%dIoTQwe+BZK= z2?00PvIZwxziD?d9a0L+iaZ$TIW{Q2FKIZQffyGL31Y8CIb_-yD9z1SsCd(ey9%Eu zJ{#*SqlR<;UjfZbBGN#Ccrj2qbT>5Eem<=Pk0Uo}8#lySG02p0M;)j|_Jdnt*UFaf zDVxKbwu7C#s44`Y==x~Wj+Z^QvCm!7ObyjbOT8vq_ZD1mx&pJLT3Y97+A7M2ZSu1w zX5Hv0gwpvs%oaH#3BgN8eWWSuZ*T`_Z57?eY%@gj_D+y@Hr=AOx;^v;bm$zl7Hm~~ zsd$C@lm`Cy5YQwuAJ( z-4XM9{jWsCJwrfTAR}iP$FI(0DcR4MMo)vMm?)k61_f7_HE`Ubks4lt6#3(<`vT9Y z4px^FW?T#;Z_C^;@|{fU_tS^*E#LEFG=*f5+?uIY*k&0L?zF}RT|5KRF&#E}{n4N3 zP(717Y)SxwB~1GfN>NHxzoAOr(8U?h$E*xmcMsyjj}XzwgIcXA(=T{*;Jgmp47#r8 z*%pl+a3NDW5i+tbl1Upe!MY(QBDXGJf8#Onh(x1{U=j-^Cp8#%-`6a=HxVVZpwmnJfGZt?DjvwBNVC_W*F?R$cjP8cOe+OSa_b$cc zW=#A$Ur!>M>SrgLffwqYx@w)AWYz}lFCEE*VT--ytxjp4@Z7F5cIvF6nWL;8RoRGm z++vFQ+_`nT?W+^+oW=^lLzAun#Mb^MRSsl;-oh!pi@<4<5GLs4;F{V+{GWVtI3ZbW z`qk>Ii8#XeVInn*AZ`-wi;V&aHKl7noEY{y>suQ;px1Cc`B#KECj@Ru1P zFjw%+?0N*@m#9n`uzOJTG-6l@FGbOH%D?9Ws@&AR^d`^Kmro7ut>Kb~5k8ZuYc_BJ z$w!U&2eQbmA$;5>l{K*<{uNofIt1qV*?eOg9o!{sAd*VeLeSbGDFUS~D=?4pL{6(Q ze>hL~*lowB?IOlOZPQ~$&O@3I;JQNleL*9ZyopO#>h?F=pWUB)OhT8_(*re&9tpMhfH|BTzO8yghhR!4OPh>UH6 zs&A7)kSTH)nE27);e+2uBaHB>6Put$ss_?Vog!w0lE1vIJbMiddK^;H)L&E|StxC- zn~h~A3N|9y)9POIrH^K%C04naLW3SZSR*_0IFb3y*kJnNH?j<$vQ#{bRc&hWZAv>@ z&@?2j*73mYg?7bi#UKyxMj;~uG{{1Z$GP86hJ%{GpxgH&bq4Tf22=I2CGM-T>Ljjb zOpv$Me|A;Yo2VCtD#<`)Xhv3dlzQ_mVK3>N)b+G)p{%YUsCYCJ{I%$waz+d@BJ@tl z0ZL%K$Zz}0z!Fn2uw9}Fh!j-p_ZgZ1tGXbW!`!R4gDWjYw<5}g$TbWO=Y&floL zQhAb*uLgqe*_&zY-AD#BANvIE7Y(iSR zippp#RlHjGj+~^>MupJ{{v62x!8$mu_G9C+#;~C}oE@#ARoR8LqrKtsW@X<#`X5{$ zErBdTKu(dH^VY2W0hx#d=xQfO5}5R;ug%oEBQS)qo4^xS+=^3_!$!>DYEpLio3Ex; zIrn2I*tqve7I$AS^R$OPg{be&^t&T4j_|9XdW-MT3-;-v5=Ov)b*N|wze-FWpjYHU z)jg_h&^O!<{u%pFh*WY-FIvnZ;t~vJwDoUcxJZ$edtc<~=bX^Q>B7er#~5&~4lm@g z#_YT=1bU{9^ijOmBt$D=tC$ z)4(w4%c7t$9RiGT$)=EKvPF~Xs|7R##8PLGhcA!#@CuK&U$@nKUoX$Gy`+D~B<`T& zdUw9O-%sd6HWA|oJh@2we6%zS(LAMIYB*xpOckRbeLR}1A z{M8+&RRlVo0>p=aW4@(@RoV4Pa^Xo6l=fS4YpD{}Ob`XPk3B;0KZQqx`)$DfNDff-dUb~#Q3r>!6=4(3S}rlpdF8|tNcFV=h5bAAniIOa%^AcWwE8=pqkHJS zQlV`FcRv0}BK?`}iZLIZ(bBFT2a!4mr+mIj?v8z$vkST)_MFieb$EKB8Ky^YIc%A7V zU4{vi1V__DvxfZAKXY^1e*KXM(@TaDQ(922@iGfnY+_U)NAZ3$;V--_o}}}hNlGN5 z=^Xulazs}^#$>*dJSVGs2sMqbarraoWAV5sY(H&qu6P#6QlYU%G9!}7O-NA0rZK1W z&eZ2U$1gQvu-T)L*Z~>gccY-Va5aSNC+~n66o%f3!+|EMgfom|%ZFcQ8YZk_>&Whu zDjx})m=VcY7-rbNfy^-GQH4zB{@g+|a(UOt(zmz)#2Kp{QPUT9&wRC$wHowW0_S#_^MF)S=NBYh2uoiY{x_?p|!osOJaQ!s!r_ zWVHf?wjY9rq^_?adsYR?-2J`F9=G?5%-_+I^Z$CXNivc-bDd47uzq!-A9z)e79#OGgetnNZ@~P@Vj}1 zrKl~c<5&HKE!uO`pz9kAyixh(*BE3z+StVa8;Z72+%|%RcdU2qIa~k{{@qOXBFEln zxjc4^93-{U-M?s+ZxLSSGmuJQv!WC2#I7OA)_rMQzEjXLaCA z;hjW-@%e`f9Y5zsn~Hjl|1@j1PLMpHP8Z3EKTz^8tdBIZ`Iq_>9qy|bLgTTE}lR}X{H48T2uBo%&4}Mm(ZO{I0 zkv1GnPW92DofUdVG-tiAAy|ku`kgvP>!%LjP%l<`IsD+c| zj(A%b9;`|$FKyB8b-3fYBpxAApSK%E^-?v)A?x~Z`&1wiT;Pom))t_T!oQhzeD0#z z19SbL#E26_QS=!*sf)K{cV-w>~X`-C!q1TBLBCqP;nL=OTBO4EtkhxA-P>u(xy1(aqj zL$UF_2@{;e+D)5UFH~}y7a8WTbohjuyvVo2NGh$1MxU#=V0pZnuwb=5u0l6Tu&l;( zrw_Uj@{YSW0H1k}m1$VIQ0!!x{ay^aJ zep&NRs+K*qCR!{xP^~hJ7~blJ(%uw>@@{_|99{ayJxAdb5B=U#Wo;l=( zTS|vNzR1KEe|Cx2d@DJpuJEbvkO^m0=^iq2YsWhEw~nt_{%bSr2+3~ZL^^>-wZ4eP ziIT7F7R3sQg>x~Bg|A}t~{EZP;o><5Sx4VZyESXKZoz)sMOdpE0s1DDw8V@ZZyfc z6MyZ*=~QlJUoor+W@bbRH%<1#eueT5IOg~?lAM*hC?I>}P`Ep(|6Xn%R5uDn`;3aU}R{mc)f?ks2q3GjNt9o}P!hw?!gS_nD zt!tG@)Uqo*fkp(L;Kl?KYl7(Sg6bG{Fg&62oP2VJHRNEypsSnPW5v9ojz8)|6bP#p zscp%dKmp>fYa*5V90IZGzMd?TW)gEmGEcA22q>P7q}yL0UX!7(FpQJEBD9f3q*A=5 z1QHCXUv-oXrd{v>K+%SGpEDDk@z$eJ5MmXakxR64&mq|&8YIuGOmNw^;Q4D~thBZD zRgJoFOooq4WSdqsuvd4N6d3?Ok>qgq~_hE1qzZa>Iz?#2R& z-zu?=mw~wT^^}X6j;o{AFpWf~s^WuBtiYF!Shs#{W7WGg+aB>%ECxTb?#43nRygJr zk1!_DuyW|Ms~aiK=ggTXs^kXzfqg%AAj`28%Ft&{hRC!a#BEgGvW8`yUblSpo3xk> zJOKTkyLxR)F=7>=au`n&CrY7Tt&`?5OOb@r>ksn#nOsKRK4&KpI49F%!&xw(P+}|u z>R+c>QTZ`g-vMcsKeu#b!_?`04d^ghsVhJnx-FOm33`%}16gGX7Yl zh?lCNlC1|vi{sW0hQ?kE7g73xiwCJO=m3J`Sy6@tA^0}3`xO^>=eCAqFPz%trYf{+ap>|8 z;q(BPCyBnRoD?+bw<2b1Ml;T^i`8T1N7s+jMGH~=@YOJvSsN#x-dQwd-NQyRy#_2< zdi}a#)HzY}1b_0BKMq_C0az6NMp_v1G{up{36iI`f?-Nybo(_2&%!C1k2r$rIdr9_ z$0k*rEEI|kb#OPxovTiH)|AV$`xVy}ylXrvLDLmX8=O#UJ0zA{ebz~FPK#+LBfr=o zxI?|j36pZo_Jqe!h(fa(*yP*x@Efpz9jQ|6-$5EnyTR@tv82WFJ0+{cWt`A0v3=3@ z;02H7`@f4yW+?gcvqbpY;XRPEIfZ5q=5-{eU@hV|R{LIT^l)yexMEDEErHYMkI;2) z+QTcvtJ_Y4F1Lo8Q$~njlY{FJxw6JL5!~%drq1z|a~)6(Y|pfU?=Y*QY=EEV_x(F< z$x)NL$g&>U3N-28?_gf2oYq~bwWuTs{LB8(y%Am1mMFKjU@Mt5Ef(yaQs~p=g+CyS zUSDcL3ERm=#6rLL!`>IQnYk;CZ4g^J7}uyRW8CoVO@laLWpsjOg64-EwPUZ%bqsTq zAbG=>{oOjHW6yZ_a+rKpn*iU-D>!EyC?iVm6n#Q8a=2ZQ>Ce{BodDJn{U)SJN+nYY zlh>Q|aZGxeV;$28&Ds*&g%eXGw1{z3p6!GN8b7|=gr0I@&Rsg_FXP{EGAu=R?#%^6 zgM9U{v^bODW_8``Nvj-w_Qu#V0EdUkt`aX}_NZG)? zEi|UPJghwmo>w?L4Z^!pE2`*P-~izmiYX~Gd2(nkzk+jarkoiMOIJ^JNjm-7oZ5)p zzv{d@%j1~vnEIy9YEEMhxIpHWu1w3PwW9eN*OK!o{iCZv6Uikrk_Ct^sObU~Mzi$!obG0I^BYg$ zgRRtVosAPq8r@_V0|>QBVNOS&p%p&aWl>pSb%OE^#j8A@aNTV^d2ILQ2?fOKKWQ&t z;LA0Y!PZ2oE}8i5N3!n8{OkQ$g2>5h*Yc`*bQmTH2Y@I#)sbX7cfzI~sk2tNnh-5Mjh)Mn4;JzBC8R*T`c`-UN(Kyr%*8&L%{0HM8+FI{~SO8sF)f;q+w1H zw!CPv5cl~+5_X+-fkJ)7LsE(xA`+D*3E5>4hMJ$5qA`~+Ph^ zw#AH~qs?AA3&gCCM8N-oBxrsAbpUvhIf_M4@9Z*iDG31qkc?gvg9wTXyZz`Nq0JuN z1uPcYnW<1<>k2Q6Be9JxB>#G+&; z)LYG@k@OiUQ{rk!#Acs3g3%6LvC?V(eGvx~e-uF6LY<*xY8yPdG{N1+UdH=(UU~wD zT|?frPjaHfxr%#P?Ssz5QCOxT5w*$i7>PG{ZGRwn#)Ozt8_vQPXtxUWK%^JPr52GkQ9_0tv+kzyRs6AlFq|2yT zfQF`gr`lYo`v|hFQ9L+*yJ#f2retHdImtDSI!4WDoTEYkJoeiK&VIuND zSv&HfZZXRJ4URBKxE^l9bY3(FO({N+LDb>1Ss!BGQ){k9Pv_!J2_~N zu@Etw2rN-_YV>G##cXE%fH;tGZF(@X{Sr|9g|DOLrW zz>TKfVTsTc`yE<#KgQ3994qumKP-!86|tOnNb*@kaUfkoc*8u3@E=EZ81>Tk}_%)F)ji4X)D%3uLx{X8T~cVEN>q`R)j zld$5Y><-dXzoYf5y4vRSel23?fPAOK@}5?;p%V!{+;0O)5OVI^AV3NL@aG4fKD6Bu ztFNavpzGQY7Yz%iYDCxQ&-*#*aQZ0f2x=SeQMBc(xP#aW&+jJlc;`IZ&)cI#sngre zx)o5ea0@zTc?mH8gxBMHKSFE#dCXd}N!|$#XN*Kh`7j>KY*4~=^}PPjCV6LEWfY`g zJT%sDg|W#IL-!)9UWqg8+O8Uk1-yMj8u^Wc)l-Y6U+K&aV7nQY_Sb90n#{T z)w(N~wiAAX=g5|Hqv-_`SEA{25a!3Uw@Li2acJAhwkc`t<|ao*S*3cp&8rqhE=leP zJ7grRM6pE0ZRK}>r{RozjcEF@;TC8@=%dR?s?Zr*sKHJ~W;W%)7PhP;R4L3r5LR_5 zwFXFWa=rbi6;9#wRU9I9E9KsZx_B?gA)e>1L}%Ir_g-+yKb;Top^w?<+M%^-0$F-}2geAVJk@;q?E@C{`F z3KucoI@%p59_2yoXa7Qd&Ehu2L?y^QIiN9z+yt$QGwS#7O=&ckd2hzsL)bi-fVAx# zCAbYXV-|Kk&KjKH%27_pyGjeVl!r8Z43qnPRF?avl74QXg0B}SmK28z7%ghOq*CQc zf%iIW>Dx!kxZB<^|L=`zuz}Y)*;<=1>rDaJ0a*=leANx%m+5DvxsYGBwjh9Ij__l3kWOmG}Tn& z4r{tWaIlC^OOBAy3v`(^TKAK^_r$+xMea_~$D!$CHH{DIChOhbY@fjv1g}RgIPgQ^ zQOqPuG0s@I{{G0URA8;xI#z>}i2}TXeMW}-;%wFP7meyQ@PBQ3iFAM8jFRp1Rf<%h z>avh@Nc398!C*@@WuJf*Uwt|ORHbRfZZg7&)+WLh5h=ar`~KZgO?VcCg@j`M!s?5$ zYLHWUs!*S9o2he2M~)m~3q!6~*%NeTDl}k1@ydDrXk^z*lrAif$G-YfK?FGc{b|oF zE4JS*{nYfFT>*HQHI=33xDutLD8i#5?!Yef`UYFDy6JUMba7hFFH101!0m(Jl(wB( z(&l}hny>=~kUJ}hx!>;mYns@O z^WqH}n412sGUh@y1e?$MET^FbFPhAfu@|WuucA}8+>%#Hn#?L-wOD{_OWvoIwoP#A zV`ncL?!RB?ukUn4f%#O-i_&abwAR8&7HZpNe?kV9tM&9DY)N?nKv|FCbtO(pgjFyE z&}!^3V6kcYrC37XyA;LqF0l731;tV>WkUsOy%5Y$)ZxfPSU_A+2cdkG?m64KzBD%ct%z3tKYsqfy)-a0bRI85_*B)bZ*v1A}5p6C1=7{1C12n&+ zVSsw6IqtG9kic_*y!OWfK6TsN^_X?len^HvT8foIfIWe6Qg|y$MqIoYPs$tXbaikhWcwdj zrmT^RtB9r1_iv6Q`cy&_q;FC$Q z2t-K#2)WBApcZ;a8_QF&SGBdzbu$~ghMQ)WFlkXVxpj8+2ZQWL#D0B zOQWl*HY~0+ z(ATd?OV_DNGf1{CEiY8e(MrrmOxDiQR!z+)*iFsVDA-L)&#VA)>cL;a5Oio_VPb@Z zLJ#m8?;DsKy3L+{lz`lcOJf#5!x*dE%A9@OI^ceYJ7X4b6YcaaWqp=pFa=y>Zn6~j zHnuh@@ca3l67Af`;`Uved3^?&p@d{J)yy>68mg#mDswLQD6NwT*+x3|4nJaizBy@Bf$VgGym zwMG0idc`q&)85PH?=$&L19NwkWRpM3;Vx|Txkqi+@aXkR>%Ha6HhK4058avW$&|kP ztVsByS1%Y=?8kqAfJ3O_s-`g8RemqfGFg{gFP|~LwL!sF?IrD}=fk5SlDV0S^;iC5 z=41X|N8d>OsW`aG_vm5W)L&!9B28zP-|aa1FKfFkVt}6~k&$pa!A`V5;RRK&AL7`Yu9Umg>H%8~%z`yN6nIkO_7#J-nxsVEkjXkZO z8JH5)&dT2Hn}G8lgp$cO&-WW~W11Fa4@{5*l8=k`4>kUef%{+SucambKNI_x{u(Dq zJ)aWfds_JC+x~vu|FwCdArrgH4!^ZZV1@H>3`4 z|EhlPWK0o;yx7k-<08uUD7t1vl#l}`)&)(A#e*h0=l)6B1$>L{o~*PRjt8%R&x^o-`>aof`CL^oa#imp_O?@Wr`b5sh9C#@zMbu&GB~6Y?N5d5gl@K2K za7CDy<@g+F!K|V%MS%h0C9QttvWaGAODB6kPo5OSD zm3$Xr3z~rpDXOGO*HQ=t(K(=dFgA=x1E!sX(P?cpJ63TI!pU$FoLnJ~R49KsW$>qq zkA!d4)oamQ#+@KE7MDwaG0sEcwf?jbVN$Hk zAP4M&Dk7*-WWuo+VWdB1_D=E`U9AxIO~RuUgwL;f9cE})Ds2z+N$nR-l(i zZ2kFU2LS`(F$*4oUW2F6Q6?Hk8>W{-Xrl$o2=3`icoAaHa9#Iw8bBysG?p+fM+5tt z+lv_qu!#m2M z#1Xg9q(&4nK1vLHc4e0SF8n7pK@9#U`MsR&l9tj2AYq0 zMM~y~mRA?jby0N+QY3Aux#Xc=LspQ`_;yoOv;@zwZz;|3*CiI_fiTSA(Tq~hTdYJ--#C;)GmyZU z2ib;l)XK~^QtaNev!k0L^(T@EGf`l3BFJ`s1_El$G;P}#zwc48PjACg8+-7=rqve za@guC1JIsN#Iw)j$08}v_`bI}}GASyQ+wDC|}O;V|g70KEf~u*BN4y=r)_zqdC@M zW@|ci!Bi1KY5T$Px?TvZ5#j-W=C+@gI+Z6deJ2c4>zx&y^f9U~fWl4XrA?N#)rmZVVhvtJs%OuM$b6PK)Y{eQsb?-efyKD$5f$V` zgZpGP!sn!4GtJ#99}VibY%Ho#lVjmo$5)KKSJ}Bjr zGD3_S&CWnh`e_>?mq5=byUk}YE-jm3lEc?K?m%As$I+3Q_lPJQ=3hoUV096~p|Z86 zr@p6slH$j`@?%b1A# zLemr`lRawlr}iQgC-MFBE+4gkxC&9JxiqLhJ;PW(D0cb@wSr4gGnnWapx+|u1#w_I z+Qwf>hYYAf^2Al6cTcq212|h>-f2!uh|8VNAWiY&*!Ut`BgSv8(!Whrrk8jYQ1!d% zLa@Nd%W^TgCMnN^G=EraW4;DdI5FftUqbUfS^}9fm!{T0qtzpx0_;vjY&Jdvi}1j( z8c0w0W_E=&=l*GfoFWOefl^pD5Wf1eW4kATP*r&jV&F&K{z>}7tn7Z*wo4RC{BbhH zOk*sm-BdmB>`JozuWxmykld66xY$GJ$@&nnFONfml-iHxppnKjK5s?+txW-qbn%(B z1iwsBQXL5JS~w1`pAIpn5)ai$?lOG9c3v@e<{!z~k`w_G4pfB<2aQ$uWj-i}Rj`fj zKctntU8|so`l#Y1fg`R=z*RjShO}Lts1Yq+#3`?qDyOcusYqxnIWDaLFfB&*n(d^S zbOvXhk0rKtsKHgv+TdAebdO}kQp^pIM(i4UWi(sd=DB(cn~p@~=+8o^Z$Kg*g4=^= zL~=3ko$@O{#+PK$#)1t;{hk+>!g?b7#qDM+tA!-SFcp^4iL)2rslI0gp>ibd0xbGI zJZw}64IbrX6)aQu3-bqn#^fkh_et{nEb{kps+~O6C$xhvZ3yYe2G|K4@!ET>pWsI# z6DTG#m9{SM`8YPosynN8eAUY;((^eiXDjMG-s-h4kWf)Lk_t{yv}S$C1xP^mT-ajU zsk5-+7OJ|9TpSIu9b+9zuOd#Ko@LD6C+ zPievf+F|sjYE>)E&J4@^DR>+pikxTl__*Y3qmqNmGr+8_-(GEhgPM1b%s@%?BYQb{ zQKZoosJl?hws_;kPQNNhJyoLpu;z1A<0Mw(QFUtFTKbKIQZYrUG{^dqSv^NXy>&9# zSx|V2f8G%Hci#vAc?rPEw%z*sY6G1@8W#XW20f?31dCvzy^tLZUpq_SchS#ea|Y*6 zhh(zb>`eI2=rBl8{~uxJ03BHu?fKa5sAH>RJ007$)v=w5(XnmYR>!uTbZn>MOup~E zdGlt?nwhFqw^p6PIj8RV-+T8td;fNqBmd9P)d0CKi<_CWA*VP*;gKi6r*|JA)O7V4ppYjqEslBt zCxT3TvqHTScht#3@rT)K+6>HD?`pY*oo3b=iSJhwM*>m~G5O-IN!A`}+*L*(R6XdrMm&H%1N3j#F!t<6kitr zOb#Ru8xw8q$}_pG;0$%v!RJ~$-yIahs>qhdAP3vJ1pE}9QMO!Ecy#*Mlnm&Q+ZV_v zY+TO1&e{*Hd6)O^PpeiBFePS+bFeolWs7Z{+j?A7f_i#CDHoNo@M&VKYBo;d{uSY_ zuWbm{CiTz}z$Y3;-l0e8nd=&{j$I9jdg`J}lof$6c9UydqMSmPzET+W2kwa4c#q*d zO>UFU)MRM}3q^793{}G!zw|G4fAr+2H18nA^8`g^LTQ# zX2|=1StesZA$x1+5M4p%uN3cV8G7W#{$Or-4~_@?CB+dbHDDq?1+ zk@fma`=mDW>73-tx`tfU)}BWjbFSb@!stZsTUY4&f#<~J__oRH4{Hiv}Tq|#1^k&}@370%+bWU zi^ZjirvE!D^tdvv2(pi!M6*WtW$J?97mz1;9xJfC$G_v*f`bHi@ zY8wWl%3i}|g7}?VxCaD3BX501Lm&jH3Y}L(ikLg^2e{e3@0c2NvGCuD{t*|?@r}ti zz#Z>CeQ3S=-QU`If`{;Q@BXZGfLFT!lJZ*=t1e@PR% z$l!?>1~!P|VpG+VD&Z_vMt%nc?Q!~t^8A2AOHx z&U-0V9&O2)l1OZY!={o>(aaooN1g}u33a7q=|(yaxBh!fSc1)rRMH-MyrjFzW^y6&O76*jqREVdA zKR7&dXq>g0FTq4B``Kg+Xq4KeH60@fKHsN~e9SP)nO$#9-Z1q8zkye-m*wkTCup&G zkRLmEqG8N4yRMX#D&L^$jA1(Zp5L3O5fc!Vt|ncmPtGV~Y+2OO^=r>VrwTu%2!6g{ z7=U18m|gy3ql0oLFm?HYv2i8Tbx{BqIsbP{cRX5`18D=Oo=MnBNkSby#~q;w-7o^p z%E%Jo?DyvrSw>ayqP2$S2QE}3JwD%v(T&5^vG2hqu=T_J`Sx~wT%RHPOpic)`+aM( znxnF@;~_lBp@y$+{;2!gwpav@t370i*}BF}2QWHmyGB4C;QRbA-l^B413d1p_WHZ! z@F!(iK>wrt{MVED@?AlV-OKgkt%jSK9+05%y6&p^P0Ni?&b`AWHAdY31N;u~I_ic= zzH9G<3EIt54RZ#xU*06ebajOM2=`m^NG>U+tJ?pFj_$J zV#M@wdaxn^5H;>S_J&2v!#v;M#t5lxt%hVG6Do~}mkZ2;%ST~o)OiK_l*CHtxJ)N1 z!SPw{pR6JuGB|L_^AgXwWY`SOZ=g?4Q$2roBZ%Uq2E(!3%kDdz1HX|$W%L1*r^O_) z_7?yVBD}@raXdWlweL8V2;Eu~QFUQ#`ry$3>xmD5cb2%frzCN5udN0wP@B?d-njQP z3TG)vV<7e!k5uMu`;me@9ADW#^*-KJnhT(2CAyf2Ha^FLKc`9g_GO8a6SCes;!A$5 zs&v`%D+Pe{4VzC)c(CjEcs&s2 z4giF-Rj(c@2MhV`ut?38;~+ji;a|a^L2$UEpCWwlS%l=(LjP%Q)zc^7#P?UW5a5MO zJv&v{=SE?(+o;;bv_05zp%mgqOd^+74=kUg3DO{~T7uod=QPzV=iK7H3I+hxwM^E`{T!`(B5T}Xt-=ZTk@awKeN2(KN!_~ zAV5cYElTA`*oijmIW6Y{v|28iL{8XmUVE@=!&zFX>wc4X%1=<-7Y4RsX8@2{G1UQE zAlS6NKD`+fR+z^D56W(=yryo>4nN@?cxZhTXeVf6rKP|k_ee|><+t!+33Lv+Lb4?U zxd=MGE%fx1j7C82w_nJZt?eHrn^|Bf)}iBK@cO7<4b~lt+Z{v1cg3#|%YKNFj&?CeKpQE=({2chV2L#7RK0aScfUQ@!ntagUNKg7eiR@kY^q+-Gx@elyXcX7OD+xoF`^=X3 z@z;Jh=A{Yj7O(>8Mqx%D#e%D=*KEMQ_Ak)6ciXDsy?Nr^KDWQz!}CHr$EYL^t2xO@MQLgdL;LQqAWSB}}ARU-VUlpV0ay2Q|i zLMdfy>-2C4ToFZ51xoz@h^t}Xlecpf1wmc;M@!g){!!xkOGQr_Sv0`L0Mcef3EwtT zI=5z3<7VkrPK=7o1ipDof+Es*Kc<3quDCc)H71#Ebc=;tyg&F67}eGJ=|v3ZNJ>1; zlPj}Y&L)&KLQefxD!FQTkuzWlPX^ zuqoof(ct5ReX_;SfXv|oNem~(K~>uFa*GSzeO1!>6MT+E#e*S1>F1y>XuGJeM$5#} zFpNt{OvgWEhUhi6W|a=-og<-d{zP$FLqB9cypy&|nitG4Bh+TdWi6$tfJU2XE!81PEE&Hbp_ z!G)}zUGr&(V{8eU!D8rxnrYt@L05|m<>cgUvL{D=aXdKcWqB>zHp7Xy-87s*N2~~o zLhVm$^cAr#j2E=p-5O2w^SLWAN^@1n7;dID`5BC($^yUi}JlbN!&-$KeJijMHwkd$dn0Z3mqX`@gqjr{% z6d(?-gm@iG!H7YYcfIcA6BE{?vJ*1aQ-JV+T(=rJb0LaBB>l=-9)pJ6v+g35g5ZO2 zY!86&j@ANtfLEQ4l?F02DFE z5WSc;)Aw3NZJVPjmOdx$mgXznl9qbna`(9W5FbC(tL-X-CCiG{ObT{5Y zl7p{7Gz>Ud4V2z!Yrw-hN@+1?0fB64?c{&eOGAhR7ph(m75gm3Ttz61-oCo=<0+f8 zjoXF#l~rfHVEY|VeccYWu<&r`+tdb_OeK3TOY0t_NP5BgfaO%(w7(LvSvsp|M068} zTaeXp7{(y~i2PpGtiBp4SV6cqezs}WX4Bn&Ev6wb;KN_UxOZkF24A*SxKfv;TG4n< zm;w+iww_QCZKfqtd@#AwbvBvK%jPEzfAq((8q@8lmMxd#rWUi7 z${&)?Hq`&!Ri!Wz_BqXmSLT&pY)SmMeK@oB7c*>ftDp@yIwd8@{k90G{{Y`n0O$7g z7zRFkBG(7U*{-j?tW07K)^w`&L@s~tGYAKM`kdFg8d0&5i%+?LCFwSt9QNz&W z_TiQ8w5&I%1G*QF^zG1Y5L%QkB{>n<7wn7?T&`IrQaYzfJ+TFgr~TcmMK2h<(ohXN zclXp-c*dxTkH>AXQq?nJ@D7nbOj$k8c4{}d z{tX{T@Oh>Gkj!4@LwAh+wYSdoRtzot(q8Nmi|TvF9VbmAlA8mtvbinqfZb8KIBB%) zd2>mIWQ|fFok)4nR;%4jNyAD%fsoRz9DhVz*URJ&8h#D_iYD`|!)srG#Dsd{Ut+L@ zq0l*{`ema^_JMx}FU<#yp}2c#i-sNk{di{SyFS6a@ab5cT5arG3El-!i169*QmqDT zsIuP%?UieQ48sVZ@zgU8#s?HB)LfOvzgTTD0;fT5k-<+Hi|K6d&a(&lwHJFV;BaL9 zr85v!YE?CLiWes%Z)=6iMK>66vhe#USHYU4B*gCMwn}_sMK<0alqw$`ZKh`dF_*YgzudG`M8$^F zNs&S@-rv#waj%BVz{9iXVT13Ken@ zC5(N6!cQ2GH&}cRyN@DJ54L%b=ey>US{-diD~Eh-h~SOzXYHgFpY<1RPhe*e{&2UI4WN-S0l2?>e6=?Gewk^>2rIf2&vA$u#yLGcixhS^tQ{=r`J)! z7!|R$ys+!2TE@b{>i&s7LLah;j#U=fvU1;LYVDN(w7FENiI|wVpd%??mt7jd-S&d( z1nUdGe>bbG=#QAUd}TGJ)U$5W5bgi_ODHkslBIrLD%*}l`14lm148yXY?W<8(GR@7keLMbogF)#Ke(;-tSVl6f0g z*qufXup~r|jBw+=DT^CgQ`VH0@-KMn1~rla5Edm9>Hai}nbVAMh-gu=Mxe&sW%3jQ z6-8e&PpxBt8&=%pHvTGLI|2i<1wgb>B$|>1bsCZ=MBBlNL|Nu2L-x+b9?3JR)T84E zK2Gi}>a;A_gj+{xz&;Gth(`$hW>FvvZd3-)nr_YZ3`^*Dx5TzJz2GJetO<)M?(83I z5H!WcBodY=cr;$}j@bsIj_iBHD;LZc!MruP49$}>g>Pj#yF+@AdN>;jtZGFiTWw~u z3b0ve?5W`G#K@x>T|WCLa@Vq+^G~fSVvpJ2 zLZZvEeB;C1u*LD}Cy?c*{CP-dB!tipd7n)D1b%yzA?JJ73vuCm>~)K}ZG`w~x2~|e zxyBCd^ffsLcH%Wr@H`dtgiKkK4vW~&Hx0Wf_zSr@c8X;@f+1DQfT-SN+W<0vEUra< z3w1w>2W|o1QPPcXdk*7;LiY5^iqfs45Sg6Yof1z5U*qqMm4cbRr|Wje6vHHtY19cu zJpyG|J?ny-Qa5ZxSOpbRm|GiZ|uw@34&wOYXcNNK%OR4cT$$Sf0k{CxkQ* z`az0$_Rl#wMYA0-rw!ot?%6$=XyjWzNYyq#)d1WuqVVO&J$YA=|derPPs-QPSn4uUn7 zY@d*+`GZ1aBI-tms!R8k1WO`&twRLE_Fa2I77-mOuB(x0gg5wXW*`QjFH12^-SM$j z)-iR8IE*+qT40bOZhV!6d&QDqG~9i*7kIx~D|^GtHV2wx7%Qc6Ju=!KP6uz+n6#oO zjw_>s3Th%=XimBG0`GY*~cUi zZzve@e4p(1-VmL~r7p7)&xt}JZcA9A2T6r&bXhgv+rp>adzGZETjxi1@Z7Z_Dr3)m zK(Yt{9RL*7#Sbc^qrf>Bgl&CVgj5jBhCjDMPnXR*(k z%GfBGDN!W_B01&aYR>g{<1&;D!c4x*<$UWS7iWsz$06ROytTRxNG5Q^kJ>e{D$>?P zqRKIhqXsY`$Za-6-Pp*#&j3hlkg|F6%71`Vj z{q4yZ0Giy^UFK0H&_ga{8h58}@9sIUD|uR%bNURwrsxMBC6_?11|WXAo88Z6{$i2H zZ*uvn{Z8lUt(3Fo7`w>Y$s%>b*m{N&dHOp`an~7>$6Voe0;fXa z`bj}hMFMH?eM90o5H29aoUy9&%ppqKobmavp`*t{=v5aMA)x@%PaF;=EzFnERyV%C z9OM1GY9Rx`Bh5h&UI5y#=y)$$_}CEld*k#c^zSj#PA==E z4*%i1{hQ)z4<}s@X{ei}I}b%(J?5O0-lH;)&J&#|UaT$iPMj^{58m!%{Uf0ch<0zv zSU4oau&?0_4f~4y@%6Qbzqn01>5rSQ1{`xmOr*=U84s) z9`@{T50ouj1PIuwmAl&p!6&1sjJ36>OoXMjq8@?ij1$A$pF#_g`p#t9qWL*&8>F}< z)rO|0TTN_Wb=6Iw^4-kT3wfdGG8babm(*z(aK9ynZ_T9Ii%0_;o~HhvEb0I@6Du3!xoT18(u5Q|VXd#kgKA z**!mV6`Y}vKQ>+(;?-POTDr;PnE4<>sjyWZg!2GN)~AZmRrwKWOby8>4QavU)1__+ z>QX+EOvdKg7ad%e#@$#yhxc~f5shP&bLg`AL}KGoPo#%j{d|=|f)5Kllu+aH&GzJF zwAbZj8rG@2AP&=%H>4ucoUV^&8C-$yF@LU#Cuj@>9g(iQsDdPax)6H)^c%S&K_lJG z1X2KM)~2z4q)V^aNNH;nC(j-z=&KX{;uG82c-W1MSpsx=Qb(y3*yl+NTI|7$l45>a z?A6JWNu-;+m6ms%oY0z}lBmnSWNqy${e}HBuCC?=jqtRi{&c)l8HzR#sCy05qvCbG z0Qq+=k@PAuyUAOvl{|0DwtnFXXck{4=OquYgkSa5*i9?eMLiRj=CGZLJJE4Tb6BHg zR!%9BrX-VBDfcc8SfguSXt&4nbP`O=`8@y4(0_br-C+tni)Q@$cZ9@EhO-ybwV?Oi zVGVi;a4!CibP|1-0>zcxub^QMPn>e%&-SoTQ#sc{vV>yC4alB7p2-^5X|sV-;~*X2 zULN_}cqJ+|d{laD#Bh$8dg0xqfe{V70$-eqWW-P()p0RkoKM5Zf0@4Hs;6fb33i#h zr@`tEbf_Q;0nwJ&XJM@ZT=$=a;^Im%w2;hp&GeLpFZQOXWBp0w6XH$82vLrA1BcB% z)pGoaj2T)KHxqe68{M|S#CXwIgf=qZU4o$Yg$n-oRyJhkA!t8_(ab{!1Ou;ydMPxs z<8~({ym8860V6>cV<|md#L8VtBYFDEb&t_6`3tQAQoC!yZsm5=_Do%SJ+KdrDSs=2m0mt<2naEqBvQfA}!rBc-kL;%a#qw z#xoC)Z*)H=&M%%fC@{4ebb*aD!@loVH0hDI?VdH!N!6 zWkBIq+XAKblx$eq`wQM@*uxYZC~p7bZg3_+8f+mdab0txl<>I7E|r1>#`ke}`NZVb z!-E`iDM=W#vUq+mZ_(BYN|Js6>N|Vf)YIkW_&Ifcdu{(v|Axz0)t0LbP`!Gp*xL!6 zrd0|!?iOg%;@z`PFJtUup93}d2>17CIeOk)&Ud$o*?sSpaV$O(u)OAx8`{eDd|b#x zIF(k)`o!H?_P0?jjcr!-)?RdBLDe`MwTIplqK_v9V5fKi>!1L8SeOr(Ueg(d*kLp& zuBFctZjVf5d5!q4+|}LgU3s&=h$P2ys%5KNW+u+{{Be&7vAuIB1X6MXgHRNGuNl`m zRLd8#rmLWD81qA!Op+x43m>i%jx%gmHf-k@3cjy9tJ5=ZZaD|;KIscsHB;LY6$qNR z58S(mHeO`Kd4bK|@6QB;6(&_pe8~MpnK!g8dR)GwvY`O7+dNj~N|QLIJfX~U#N^zn z>=3=A4b}Y>h`{3(*qQEwp1c;rm9gF<^xze|UV*3oYdVebGCG}a{#!?^!EHwCEzOm3 zUjBn#%C~yah-#;L)03xTWx&pxSNu=+gFCEVdex*nNrK}7^(rd>&eKu6jh@OQ>M}~A zQmbct#z-L7X5W^$S9ih@G+IWQ{Pqc?h|lI z&b@^OMeFHFp0KH~;dA<>L;@(&MGJO6um5y4J5xhd#<&#~F?Nf0JP zBG+J3Heyl=$@d%*+42L$xql33MV{4o5v1{LIefdh8<>`GhK$Oa;Q)YsL5I>;+wNHB zZ_yA+s9!~Xju#@v5^&Si)Vqi;4@2CQvR+ZO&n2H8_q8(i5#GkSqYHLjcjxMNgoneFL!)y- zV`wef?FfpNSWb=V6IZoF1LZ#x%}$&xHC0xm47*rseV9jWJe9>{1UP}-2)dOgQapp< z8y9PpA(id2)rTwj*Y-wRo;8+=4b86AMQV6oQ;B6(4s>&-%v>fk2}Ol*9LXal7)NJ_ zgU^Xu7S`MnHqAK*U2=Utu&(^!>A3C;Zi*}^q$=yl)`yuH_B?on51tb=8$;FixVSR>cP;zj%W{^oq&Y%}d+|pyK!f zXj_a?qjuC(5~ub}EZBb0u`!*_H_8?U>GGIj$rNP;)8L)sz6U#Mj(L%fp3n3@86gaz z!(XhtO}xoz&5eFMUYU~0DHpuiSV^#6S2<)}NMA-ln%7YRt?e4;3<&(dS|>#+qzc)k zd@w$AWSj9FoUOg4W?l0aXLNf2q4gPVtoS4u_@mvf?VNG5G&xH&Z2dYBUYn*P$0yr@ z(0|nMh7NS=Y$*vbiJ4QyzH4W`_6&}sUe&aXkA|Ij70fWES0uT!5-_4%feNZB78COb zS4=G^74-3@IXn6&2v=k#UmAOA!7yo!+KdbFbOMV0^o4@*wfLg>VVwm70)ITV_`JH} zj;B^K)5sRcB%$8kKCQhlE6bi07dPDrXz&CGtqjLu&2UYq57PeiHZAGyS6E)^ZS2y4 z+J#10WnzM>3`rWURsmPO&~qdDfKGiCz60$sj^9=#3S519od`VD@-a?JqNgscwju=> z4UHH(qmD9j(40uz@su>k$dDflEN7lQ#j^P&KxJqs1zAu~F-R_l-T?VGTH+--=U?^AypgfIhoZ?LD|=-J z;iw;iLCf!p8*oh5E!B6E)VgPeaiE*k?hX;wsf?+9_e9jqE z*DNpc7_(ES1`@Nz{}IZYip?@7bCh?(!cd@W$AfCvT8tJ2927Fo=1C(`XZ9MZwv(vR zpytFUr-|mFO3<1d0Lt%~atbtNNd2B;1O`8K-DzsEu#s^pm*i~D;3JJ%SLNgS{(dy_ zY;0e1kZ0|HxjC2&eF*rxFx=mjBytUQ@9Wro7R@&94~t{t>{d$6JvSa-eg@I6-fjPU zPqD}*<^+NPdb3MlRMcGKgQqPOz=5RvV0{kQ{Kd$KV*Nv;{FIzec31W|yiX}!M0pCd zw?psm6JEv^tG0*k@O24XDh(NH+Uth4q;6MAPwN&L0u3ZVFs4gXZ&doh`U{>)8&OMZ zySnhNA;M-phjeaSb`Jes*-f9$-D@!ghmtFIM$KmcWNhmu-L=CMQ9vYyk)$@h)l@fQ z<_!=P$a8r)0U{vEYtCuPIbf*!koBOupSGtQi-MRfU?ZmxR>n7EN$>fM*w#D5xRY(` zUgia05=t;U+xN-C;HBapEQ2O>xl{y|{S@}Cyk)3BeYUovpf^d_yWB^;E0|q~ELzL} zb<6@FikB3RgSsa>rR$pY?MSeM9sroV`Ownhz4b_W^?a$8oaz;~$AHE{m}P*{sXsEE z{**GOGy>u;Paoo9XZerK4wej}%^sRa7c~{uG1YJ7#AjyUwvPw|W5%dyt{|6hWK`Ds zHWt zn_kXlXtiD2-fjwOv1&r098g#g=&e#yRWy1ko{<*KP5R&|RoQV+G{X8L*x8q=J@+-L zt6CIvNn^8x<`#}RXF_0UCTQWpm{o8;VyabV;?JV$Tu!f)bOs4BKckog8}W-Xo_YWe zV7*mGPAiI>k&Oj$wIURAld+zW^Q|=1`JM=fZCOi>?U(nGr=`|x?BY1}mZ(k*0iK74 zLc@1w34h|T?Bx-}y6$iJK(KM{=EkuMuIzL;-O`KqKp@p~-j8?_SiV4mb!ii1?kVwP zc&oZVRX#e~eKnH4sTw0?i1Sx_LfD9aqi6T#!X7PmCjYfiyk4G+Og>(WJM)r6=g*%<{to(2`VE5 z4-rkxJjv;Uh()?33Y(jyVNPTD6PIzG<5!p*KPXsr>o=W_;K%`MsE#eQtC=NEXkEhz z8ah(i2if7Cf~ja!%u=a@1raeZ$H?f6L8y1sz#`X@>fY~dVwR;TP6~>CMYnJjJE?6X z1|@%7-h!&6_2u~YL{DrKI9UMeE(hVvB)TP&as^_f_-KBjrPOnWhiJ`e#i!q=297$< zD~$S@XBj_W1$fxVb+TTDeu>@(OpjP|DX0BhcY>!q2%^i=A*hi^df^rV=2!@LHimf8 z!I8o z!$t03axEM}TrBh7Hl+<3r&KrG`{tm%{QM&KwtJXqYLMLqfyc4cdIXX|Pn2?nBp4l{ zZQG24_|9I2$_H{r%M=ar-FKP{XR4rzgC3ZuaJ0Qt4Jq-%pCx$fKOX(N0%?P7ZM!I1 zdabAI*}r|JfPjNA^`rdD@5NyMC+hM)BbjAPZOxr6h&Z_tdb4m?K|vtEKtMr35&m1C zY6b7*32u29{$`CNRiMtr%B1P0Z71p%mfCA$;z=3X`zk#+Dv2;btNe?|CG5}2ApWkmv!qif57XkmE>WHqMHlo6?wgh&xP!1IUW8ql!^VBk6U zQxs4N!xAdY#b3eKA0{}EKf(w1RR-$*xVmJx9RRa9G&6dN14JZVd_{jn;b3LZXbwp# zD9xs(8A_NJ@!_D#Ce9hcfny zj5a4!j|qw=*oa8S1=>Pc8EVM7+QGbHz5WEevMAvA zMd-G7M6{+7G(ZE@8upue3BLMUak^3RgjEXKdj`z91b<=&c4NFoz9O5-yQoE#+Y>a# zL{}x^6nf^_*m$_viVql`14)6nU-w_Y$XBqxudu(wLX?#VEPolBFyXv@yEdW&!mc;} zY0W2iB^JdnF-vW;BXq8fXzIfmjA$rrAgC^=%0RsAo09ymM249kZfUuT znZA}CzKi@%?I8W5o&Sm~{zpAz|Dhg&T`7o91h9WZWc#7=a{ZhE36w(yDx;PI^U*-S zKtb(XQg#_ZEdl=o{eQ{npC^#7n#spRR(jvn2@9_=B>4ZAlY`Uv(3Lbtw|0-iQHSGRo%I zL(_S4)1^Pw8o={HAMhZXxq7*h5!>q~;MGaPEKppSR5+yum6nt(@(+;28?u=7)>m;cra#D}A3tth_augiR#^GnvxU1Uj4e}mJkMa9fw@kq+Z%R{ zBz|Na&@IQmr5@6SpP?=nH<~tZ%UfIWF|j)&7Qs|;F`o}fjN4>A+QE5S8dMmswfv>& zCKgX3oIRWTr?saYGNSQznXxt?=o7HqeZm19PdFv0oNVSZ6?g7cTKa%LCrFO#tijyE zmZ*eTeXpt+@mwy3TW8#SB{vblf58JN&4w-msGP^S3+)zvdWB>ySx z8>=)ScQR#Z+5#PiAzhG<&&6Sq73Amx?E`;hKcBNy)BAa?P-j$m*6Y|~@)Z}(FR|zl zidRds0lj?F8>j_0jk77k>v*b2dl>1gK`sNfi4~-|-HbVBhAhjJ{{%xd zMtM~H7SZER^%B~gmyJ82qCEB$mxpNw3=^Cz7?LBc%uW(W_gNR0ZGsG3B$ahk^}3=e z)dx|K-LzG1wsg}hh2+xK&ay48dN+ZJpgZoW|7O`Fb-E7F{=3~cs>`?nxYW_Nb0}fo zRx(hc_xwB{V2Ypij*m7dy_axXNMehm9>`IQVyU35;I*oYN){9U!Q#BunUnR2azVqF zu2_($={12F^^Uo&c&)$$`~HV$bt{bDzXXg3PnZdcoO*&wQr;sOeq55~lv@*NCR zR)&S?pU?2~Gl;r7iz_=DI-BzHGKecP5wZM>miT((AL7GTnHUQZ^M4><#8`=#{{x^R z#!mDvN9GF)!9m2zm14&V$^gd3nF0?E$_C)z`fmsbi>=D!aocZ9=pp0=Z1TGYkp^vQzix!Tg2M^SAxyV=t1EV98-OZFFm}q{*D{;*d?&yD-J7@y3qW~&RHd}vZJ(fP&9klpv)WX^>ACX2{7jX1hSVdoY--PM zj4EQjww#F~ReWQV_Cp z-*>Ah_A;?$Zr#gOMU4O@1G0H!1Cg8fr75J27a#3UE4$VP@%BqvZ@N!fAHSq*>HH^Y zU5q84S7e&bP^B~{I@e$V4$cFJ9+wVIYO1J#!OV$)u~eE*l=xhnM^%&z;A8ZjSCmqj zn{1<3hnXY>t+0j8?43>#iR1|+Gh%rsIc5pTCzq&#+#^#wO}_yiI!ilXnjLC^YK74Y zGdw_O7nE{T3#CxXxDv@AouC6Y%OA$gSEEX6`>xuO1sO$hbEkgyyJ*U#qBaCpYqc~t zsYw=cA?XgIv*>vo+(tQZap&y=cZf&SL&xiw>2Bc-lXxqr0_XJN@rIjQ=DIk3k=Ezd zcWn5O&Gzxh^$)Aq}DTsf92G zanwf%QsTTfJPEKQYfa{~H&d+A$b`jvuUD2nc$DgYDf(>!O&Nc1>Y1-DokY#8EROLD zFnh0X5C86mLO#l{0@3iet@rjfVRbEr(8T}U)@D^bUw#OH8WLkda8GOC4UXZlFp1G+ z3Y|%nE8oKB{5{kqGVl!6f`*NZHfzmIL4};F^#f=g6Y&v*8 zayQDkpav2g5%z3|JtmVc{7e{3ETkB=d{UoJyd^*}s}L%O^OwiV0`p{}Hj@*JgrRM8wYK_zf4`WhJ8*l{SPfr=t!g-9$Tu+RZ^xJk)ie^NDuuqWB%v z0OXhs0s0^Drr>@9mH9`Vmft{mQ&hn~Q33xSiGHb-mFQok|2MHR5i$QK8it9Hh>7_> zjswg@%>M~-`G0GfljvWl(wC~gpffE0rD}EbFI6)!bF#7juYfm;t@8}+X_IA#Y*78D zza7&)`o7?W8E4)wJMh|45V)>>KOw+^P*4ncNvNhJm?d*QLI4q1D5%i?mq)i2j*wmCf;gv0~hulH3xFZVfm{9coGmrTVssWpK2!)(I6hfVcIJHi@$ z!1EmkaEM1Qrv_@VY<)~k{7{T?vPJFxy0VCQjn!fYA&MXAV212Jt73cNxz_rG)Lx>WbMKFW>=|T{+)$MGl^1f_-ZpW)IJ1QQ0*V0rEj@3~p&VRm zgr6nZ6X?oPzmEzA_h!47^2~TtvI@F-&jh@0V(d=cO$hQYiSIoj38FoXi??e%vA=F4}M00-!Cacqh*G8b3b+(b13G zsKfkjopF5c2z``!@}dJc202T%&g6SijMijgwtW4J)@TpwwpAvc`gJWAKE0|J&UJlD zi|5?h=YA^pMlbSFH*4K53Vi;q`8bl-|M(zJ5(jR$Q3?*2mDo8{%6jp?zCHGjQv#le zw|w8uQa;6&0B^cI@vXwRllnW?%hUENUX}A;ccB%F!y`ML$E55@K7OgxGy{{%HTrMQ+0!a#4>BjOdvPN^800_Pwy0?jPulxeC`&`fp1bJ68-0(Jc(N z3`H(HfxZz?Xcv`Ns{|x#hKtw))Gg~NS9+Pt#uNKH801$x`Z`U4`$J8TVPn9QdJun>81$aJjY4i9s z{g^{o^Xk4ieD-l%%|klsdO*HbgD}h|pa;BZk6HHVyxep7WY95hS}&NkZM_6SJ6O)( zykDB!+_Vc!o%u?{>jU5Z{kD5eL#~Bk9bk(ec=`+%$))iV;UL+|yRhz6)}v9=R>t$M z4R5)w6Aq|KC=fBHkJJ;@SP2lnX!}1MZ%%Jr@Z-6i zSy$gw59cp0m2M2ZoMn*deFOg{Sxclq7BcR(e!ku*<)0>gN)x^{ z8R8i}cHe2!)_>c~e<|-R?@ch#(6W;kt*v>Q4b6vdy_nc;Vus8%cbG@>0YL$|Eho}f z-C_ouy$4JRl?Q9!>gPF0Lrk}PN;iH%-?al*4uvze`8v$PYy~9GS#w5DRszmCEi>Mo z?r6p(W!GLizYs8n)qdYn^)Y4JT{uO|^;$r z_vgZ+e$u}w)`hTEEXC9BM~A6m$sQzBqmCqgRA&cOKj)Ro_r`DiX3w>p!@B(|!gru(ddQzS6WrGaP@bb4iJ?NOb>w;N+^KLRlkdshA0Fk({Yqgg1z+J#FW zrt&1e_j!d&L3rhhG0|dmaAunuWeB7etT0Vp`I81F`1xz@F#}I|GTOS(*TdMWRYqc* zPuCPYR!G(d3up%!ydn1VA+CcsS)&{@9y!WwCtpNW=Jff-Cu6NWvOd*do%q!iv%%(;8oz-2VPF_DEB+GY>O=Mu4Ko-{3{PgUb# z!|W;;so2tdXw=AdjCAF^GbufF^B=#l`w1W^r87cAWrGzO#(PUtpWhEnW z5<`9%UOjoYD&NRkzeCgQ*Jtk#!8Q9%6U!Ix!{;W-)LlUtGD3VgDP|DEKsqXcM31a2 zO|bYHbJXPAe$JwV5!4qa;TNjaS%qS!1%#(-28kJ)Y zxG2>48yeuXzJ1Ul#HPXr4q>05{4?e`0qNRt54>G?jHg&f47x6J)DY=m7Ulk-g1j zr(+w)Ld)WemCumlXtdD1b$>gR1>s9`aRz9N6R;_Kvi}))N1%= zd&NBq#na;ri}gO2!4J5OC6%OU{Qx_C)n`d?fhBbtP&|b$_>8HF9*{Fms6|2lkMaUxr!qBTgBX}Xd#MH;dOmJa)^=z?t-&?QR6<33QK0`8> z>wtlpTMctRrNV~SDO)!u`V%$A$gv{^p1V?11-o1h9;z(SY=0y>HTOWtEfd29EBu1jkfI-Sjj|+2*Z7n4@f3;k#?3KOmkQt6d873(v2~hx4S%r& zj(}G1K3dUy+-AQ0eL-XD&8-L%qcA@pyM3vsbV9H2ba1xAOgXHL-K1$IlSdZg+*HUC znUXD?jRn3kt-EyIV4ql{%HhdR_ll5~#l-sJseamB@s#CC{hI&e1*AfVf$vH)1`Y=5&)`Uvok-DF>XVf5noW%v`78n_?5S<*Ou$WXNr`|M zy+Ym)pf36mC#wxQ=J%XH>yWSF$MeAk?=B0GN0?6l5#;4Tju<`aFK-0Y4R0WoC!_&% z8DQ65I#Wi&&1yA1I!Gj3LNYrYcv6sYdb-xfz|BD^)j6M7s)iPzC2qH!K+nc!W7Pp7n$A(SsPSaG$^7PS-X7G7hD~yzS9HWZgYiZhecto({9VjqbMgrq zbj-;htEj3wx45RJ9nQe=Zo8HhTxAXg<|g6+45AX7vOL0fA?$MT zK0wS8n3YusctU7U)0O2XZPix36q)#9KgnN`K5WAFweFPm$P_|l@0ooyWVCn}*orFL zWYj*VZ}*NB(-A}rEBObPzsZ*JYO?vg+AUMzG|DqCr)7&d^H>_XV-D~|Ph{I{CT8f; zolrdSW=IqL1)&*7=_1%i_>lSn2#&FUD&`!U78xm&w zN{~)gYeCUWrx!U+Coo~M6eQ`_TC7J>UZS6n-7Yy+Bxr71_DPz!1ZpNUB-ekzKWsDP zm6qKugp4(r5(Of0!3iR4^@QRSpyLr6JhY1BVkrNKg7n8cp`vA~c4sGq%AWD~s%%wv zu+qp^SV-Bl6-pziqB{(L*TX95?C>QY?SdthhNLtrxz%YIC0Zk2$7SQRAmN@5sapDT z`O<=}mucucR6}4`{T{8^SJw|G z+=uUh5M72^C3gc4x4~G8l6NTwu@>C@$6T|iFTDtusuL$upHV6_ZEBoaUNSZ~G|1Xu zE477LqJ5Q!Ykk9aA!O-;Wt(lJdBaE6v@)vTt!gI>|5gAmmjN6`K0}&dLx}CQ$u*Mr!q>b*b6#DX6>*g0{o=$y zVf)jQxzW3jK5f~DKb3&?p+0OdH z0y0AH6fY9TNSu&<&pwB;T=OlW#x;V4zp z>{~mgYn!Py%t7I1oH||v%*ww}+}tlWdhJAQJ&UXTomUHICOFm|SI=Q=Ddd?E!8s5Z zs)y*wm-C_a=qIk&J9o=JN}8X4m%@>N4G{3WaQ$yZ25vDmMUkl@>vy~mkQfuzi;Ew& zA35FRVkTfvF@d%D)S5WGmP?<&;iWh8?~*;a1SA2=nZq zv^2f93yx00@jAJFxiQE3!wO=Ut7W<*-olwc3}R@M2!G0EWS56OzOATG?Zjrc<1vuP zI0TvnfwfN6G=CiIhTp9m_0Eh)E@sLBbSUFRrP+3P z^#OwF$)r=STf>X@2@2^x#$vD2or-5KNJ)3YGF8y|eM+{;Xx1J6$CG;H-jn`h^&mS< zJ_UdtnPlen$)l_Z2CbW{k(T6Ue_!g%&OCOXMde1QE4`cBO77>>tZk1t_Rk> zhK}fF*8QH*zD_O6BXjXd8-5fBiQN4%IXFbXNdM538Y>Zl?H|!&f)A}6m(^S{`(gF~ zp4fb#!T3PcbtV|LO78V!gtsU0#kIo%gnGaP;0}c*dMKk^({k*gma}}8l9qz9no;&g zHtl~%e3*qQP$e^RU_xZXv+ZTCknTUwYzGvvU9VR5m@;hTiL3(%iv3D<2d0o0E^@*Z z@yE~>Dk+xffr25&pc0lhTQCWZb>;fnVp8z?GR3@F7*#&x5Tyg^k_ttJXD7)2`{ zgCcUhT)S%<<|t4^&`*jj%SI1I2j4lEh~%sUea@lc#H4Q=c~Vadb_gK8rdQn6yVy+VowL*xg}ljp4N6wIr>HqfbpaE##G^ zs%toV!9(Kbog|^DmSoGx`Z9Lt^`W2eFsv+CSjIb6&Q=h00!Ja?i~x7`KF=USdj5b( zEpt9Y+OmjHQu6sdP=0?66=OFF#5gew^C5&)Kq#}mS*JQ{DKKOry^3zO!pa7BNA~ZI;Dxf7YJ6M@Y{n*O zkUYl0>G&VIngoORY-oQjnk(Z9P|GO9-%`q2(Ba=n5|gK6t!x!nBWeFEE&CA5?<0GQ z(yvzf`)k08L`a&5)|zItrm@wwS@{4#?h<(V0WZIMiP7w(XUvW|d3iVn6=Svj3DJke zqJ>g38gP6Y!&pV1swHuG$1k#~AnMJd z-7JLnFS@0$W^hhn%cOFK7EGnp#}#p{tT8e*H?JhCoEyko+5Aa?Kw&C%XN@+S`x>i~ zU7^7`C;Qnx^q337IG<3op_U%UdE{kp<(zn%;zpsQmur~WfI)xNR-94%L0tkPDI3G| z?n({WY4_Y(ER}J>^cw8X6O1Bg5Rb4VhV_!S(OSWMO|RGP&(k>aYVpbF#xk|$+( z{x*su!-dr9gj>|DB7E`%p*V6kioZ^$rp0AxfUIV;9)Bu8OUqHC=pd<=bK1M3z15{v zPnNR{6pl$$!wjuy#`}%x5nAf+FwEX@VuudT>grPQS6R_A+EAfUr`B;OK*YDKu~aKr zIpuFWbKo#vp&9yxd$!(6Ggp!*rz*@H58cC9eXhciXBgwSwrRrwCLiGYFtBE>@sdZv zvt#n;W6VSoMV&EbUj6B9m7wqS)s#%Jb`2&RSCSPNK|M3-N0thGW+6DJXt1M&_25~8 zb36&<)BOITh}OZZ1R;eb$PALWew-}q2g3n+4JKM%E>CiD16wCxMBDr=oq46-fYT%A)ym z3SI{!q)E`)0)??X&2>z+d)HQ~HO5GUe=sMewTnvM)g47QZdMsGWW~cDMSFpP+jmZ! z#7c^Pn9iJxmIbb)0#_emMc3l?DfQXTw-y~PXpg^1_WL|>Z!Cis1LoF0kJmIDa+87%i3ol*M@2R8J{?9+Ojms+&-}p~IATMzc#g+XGr{gpm$_ce zmos>KG!qM@u~M|;RjfO~RqLFq78N8R$kZ8wpMmhPws3{!V9F~o8^MGv)C2K~RY{mx za2}n|XCDZ~CrKD;lbZH~or+FoIu5Fcw~Ks6U%5U1ec{RvftTTc#i(n`51iz?kGT^95ZH_ud#aKzb`q=5j)yQsIm0<)!z-o6F{frZnu!I1n z;rR~}<_trCmhswnCRy6jc8foRAVdCNvS^J=i44CvT7`2ogx7lq{R2cUv80OD%s_R1 z6w;n}ZRV~Uk0ZH_VpIyX*r$TM#FlcKrv=orm(H~Zr7g+Hc>gqRbi=is0%xIy@{Kfz zVRLCzeY5(mgf-F#Dn(m@gs>Wk#PZ@6#mfM(7nFw{&^6w;^fKF}H5mHd6)p7vgq= zAL2Yt%-zs<>*2JGkU?gd;ox%<;nWl!NiJ>Pfh-nhzUO>G^r8BhC^ylwg}!>*{>^jOPqpabrvft#jD*M>9SR!j)Q8fZRw+I1zEQeHq|pVEwre`+a_90hxC2W>Ry-|y5T1Q`Q^rE z@RTDy@Q*yWc2;RU*6Y<*bxY5vz`M~r#6;&1HNRYzZXh-k8g&L+Oq9hMP|~awtGbbX z9s0K1f)oH82bFTxnZE%})Lay`kzftq@aI}GWP?{4YAEDi?|Y8D7K%M7?~oU#peetH zM|LVFvs_4T+f~XaI0$E?B2nn%bHoGVVmTQEV#Iqi_8jV5cLp@xAKIo_oR~kv401z~ zB+c)NTPl4Scq1{b7-M=QUuX)+RCA!pUCwv4``S>Gv&~{4F=f=~NBY3Y4z7qOSk%Rs zV#edSu8Xq4)r)?ao`U(;$~L+={h8duj!VOmj>V!@cb=Hb!cKa)ks63Xn zWd6}P$)9?-idEy!D}n|5Vv;mKmhBJ$P(2FHk#($Uc3jrvvyZ8}kGxA!Iz~m*%g33Q0zUS_N+}%ZSCk@E2SCxfAd4 zaMmo3_z<;iS@d$f$a^t$2;)jRMZM_`V225NC&}_2o;Bw$xNV4a1k?zLtwO}5UkZtl z&6*YVj^&iyy-c!VDX)AjN=Dl0=U4X@pEJoycn7s<$imDlV8q>*ov`b6%c5Ov-Y3aQ zMiX(!Wn5jdaB(e4vwIeuuV3jS%$}OvB63n^lWh2GN;p-m>9bjTh0dqlrpWMNi)k|) z${Ee*2kFxi;yCnk=|eJ^OTw$dcP;5l-&*mf3@>wZ1(HOcI5^8u_YHS zp1A5pg?cjc`Y!lT9MaMk6fPw;?iAbJhim9)PnqI`VFwcB#D`t0lku}1erh{8lhGS(W-a3P4MT*k5 zP`oLnPoaLPuqdUEMoaYgQG+ZXSJ@9gt(-9ARW*tgsZ&53B2dNfAgaZbEZ}=kah*9N z%Y7iSg?pOSf^afy6!LOYp9M;g119V-eQRUADv$?WgkQf9#MvWi-66J?^2Cb=wtCx>#kuj8e2MSe(Ad$MKO%ds$G1nkqepM)8>DY#q_qlf-^=Zqg}kvR zYpX%?@+~>>{>P2ZVote5>rZg=4k8aFL*wc9a4Pf09txbK`aCbU!9y0|eopISzk7!D z8fY>3zO2xXo~-iXV++(qXfZYqrU=~JP1WJ`_dSLKqc3ptI=0(-&ecn!8AD^-Esl(S zPR_UW>?Yl7Ban2!J5C#8;yF7Y^=$|!+0SYhFV*K zYBKY{LWUxYn&2S7e$j2mi0cx9W4LT#BBHj}P1s&@rLsfF-w=8m?3t^V33|O4Oxzt! zX=*ncg#`H;GSLj#spVU@lO{{=+BPb&iAa(VcT)O@*>~;c$X(;++$7~_+USfvC4+F? z-lhm6%YgP-y8p(l-!NFJ=}TI5Txm6_->{!}8Nh-q`J~kGA^HyeI0m<4nYAO@J6r2& z!QC>T+;+l}*(a=%YevDJ_*Ra?@GA)WvbLb2R~RDWmP94R3*~niey8VY|ID!GK&JVt z2YlkQ(C@MvY$(si76Yifw4wi)+|T^yqMB`(8g-ZYr{+mm7<`z{c^vDO&Sf(jwI~iH ze(ItbhopLbJT3)?u$GxCqs30Y0wAl)m8gRI=L0`jTHDMOu=-K7(f0C7lHZH8H?(*5 z1-g)ZSGU|l`X9v;JafcbA0|{C3Uu30*Ju4+^aAxhkIl@eO@|Bd%MIcHv#ec{4ro&$A&h-^GCE*{EK|dlZe; zY=Y-&E1Hj7o$#(}w*8z@`ms%n=8jSN6(P5I7Su;N!m}nZ4WTB)b~Sm#{U*@|Y-2Jm zZQDbA;VR7sex-c=TVsCHom1TIBr1+xeCz-jLs3;0el6Tgenke}=Fy za&E9P!iH02z7=YHW?{7A$>f}j0a`hyr4Z$N2CB>5*WoS5QUa>RMu47^m@uQSa+H#L zk2@GvGNvXLW|i?Df|i)!CGjLWQ!lM#CWfJjvXrb@YYgf_R;VZM`Zju57_T>=oy}xc z5hTP@h-(~zcP<)oac@1A<+gDn|W`Mgp`G$t|}lQ9`Sf#`c_gu>EWeA!xZMK=p_uLT+VxiqKt;&E+VoGRmS zivMIFY$AOag^=?okbZ~n zLv1z5`FrFSKlhiVa=?be4V6=r#Y@L~Vi3l%sPEK7d>OKhNIt0&54N$S^B<;Ip3H_@ zRwRVRSUUfb4oal{qmGg9~ z8iLiF?Cj8H$o>+(k50pbSeS_((rWTwlltXD^mu=RIe*h{I*U~#K=hE@3wFrRdCXt@azx1CM3mbEX+SJUcD_qq}q_M4KQ51;kmXd<2$d+c7|L^?P24B=|V2x$4U zupIGbBla69avPg!@{ou>XXe!o=|*MjHq|J#f#6Yn`1<=)2n~LQFq=Ey3A>l$7oQ3I z4F5=S8bm2=)@B9=2Q|lDug{3t!k4e|lk0TnLinik|T#5d5{SzJdiNc~ttF>3M8fqtj7A_dlVl#e@X@#gaG}DH18&g3& zoVy4=DS}Q&KQOb+iAw?Y{+vmnMKkW4iS)EP^RM7}%JegcWj2V5)elErM&OGQgY(tY znh6n%=Ak1~Tbr%Yfh$&iTbqbj@NgzK^rw;XD^SN%#rv!XQ(+%F4(95~#7%P|%e>~g zFXXAVq8t+j%0&2~tTzVAuaHK)IhYq_3fYn$%^{lECKtv~1=)b(M{~^t6`CFkp6bOk zi@s*E)R=3P$ouB3h;|1{e|BaKs{kTlvecS2q6wl^I(G-de9HPFcn33AF;OrIP-w16(YWmgvK?jPxHu>%OvyWK zLKGFt7*q`B%F9rfI>dP9j=SeaH|vaH&4#`3={~0d#l_1GzgG$_n+MgvSv!N=N_kDk z%>z~*%hrlcPcAGG1-<5@>Mu1O#BX^@Ny(r+_Z(Dna>*w1h4N&K?O+%zsbk*3d@NV=HSC%HB z{$2xb)!4EjC$*L7J2hw&@5FS(XhysJUwtJDy3rG>4`XvO6k|%8YmbN5R_b+1Ej0TZ z80yd-8;Ci%>ez_-sEM4``EnE{e*9(nMa*hwBVb_+ZihRgv~O_(Vs=YySXqLM7q7f; zERfrid8Jlc>9%O3uy$a#xOw34V>#JepDpNc+m1o{Mz8?4;Nu?Fw!EfV_?>7$L;ccT z7+=?zmuxRteXf$6_)L&IY-mB_;vK)$#HW?660>o54i)rS`SVhY$^ph7vt%F}Bu-fO zIIaG~wouBp_@Y>4RolAT$6JJdb?ckk12j29QZj2?9P?!24u%K$a1Ae(eM{@e`qIo&0g~?R~gtH-R8>J@vDzLDU5qaTz!N{c%j=Ztr>#5;EX1qAHO=#)3cD)^r34WwaZZL? z4>qyw3*!oh0T)$IYTQX3)39Rs`S5nz_bx@#bcvBWABZ;-qT(a%T&ND)5`~$$8IqXwgs@W>|9p>_Rznh4K~g_LZ++=CW{LeO6&9xLF;Z&?Mx_ok zO)s_5P-eevf0QN|?&21vLmy@z&(smUsbLi=-BmnPa|{>l5!aBwnd05s<7a?vr^F#Sc>#F9?W8Dq7#5ptMkI zWZQq5Q;~WRq};UdOhRh-Erb!C5~)lgHYCe_5Et>u5i zrO*4;Q{z=p!VoS5k+rk8k{R{6O2$KMuz%?b3^%K=@p2I1=XM~%*}`SSiDGW@4RJ$r zr(Mu+)|-k>FURd%ADWf4rPicXayQF7gZYkJdd-kdCq3phi`H}b4d?}dN-EGWIt*ac z#D&q!G3>Rv^qX)@s!@|4vu{j{rPQOaE)8B0re`z6S0^_@Xcs=|@X_!Vq!vfM?k!>Y zHg|!`fjf&HEymnD{ZrKYR}Q;HV1>7JJXM|g@XF9SOT{U$PHzs` zvRPW%jFzqm@_D{US7Ufk)LfkRW;HhdP}xj3D__)Y^dgn_s^RC0x7j;6J_^Q9t_P2t zF~{10UK7}1mc{$9z1E8&T(qvF5?wME=gsOE&-enn*SIzq@6!u}P)TpL6U=!^?Dx+2 zYU{8$0>ptOJWH`@+{Qsam0P-@Q_(u4LlU zjFFnZ)2i~;So4%a$tGs_Kh>)x6;uR@thrlQZtqi~EEo?cAIZQDLy$i_AbgPJizv}L)l`m3=t*xJuF}O# zBa@TE-92A>j%&ARl!N-o4I04>vNEs8)u9I$syM*6ll9-5pD3z*v5;ot7;(F6Zi0c# zCzWqzG8HH^64vB?q^6P&S#v(W3_q@(SX`{vg1{UA73mBto0Np|4&fS28LK^}>65A% zE7K$;agmrfGKO0@Pj+66avFgYnOK28!w4*7+_6|uKl4?an3l$`JScv88o^~pI%eVX z6l+1c&f6|D;6qG`EMp~e&sF2IeucP3|&Il=dcG`1_#xEb_S zJ!mc0-PIDHEoS9-^vSMPd2>U%fehSIvH5HokMl!3p-jW1UkIuJQ-YkH7?n?!UMV(r z?~!j83n)B0bR*o#UDw960e$RM)neGwG{k{>i$r5N0C)J!x%@DLg+}^ZlZe#sI;#6= z{q|NHo6jUF#LI7I{63gt+?7t!Wd&9IM0NDr_2;mhVGvbu`7;Q$UNrv z?VD(ig)HY}c=gx(B*)2f$uzQ8hn$LoAzy5>ZE|>)DA&9ROV2(~S;^fg8-j@Q*0d>3ms9EgF=WNQRmw?1H7XoV9& z{7VBuR5ZFjr3p#5Lo&r8F-WDbUlRGA5}ePr>gCd~VAQzbKt=WB&E~(|{v5(VwcU67 zzKgEpWMkKWmE(28MJ932T#ldwXS?E;G+M706@ksO9K_mh)6#Fu_U(YUx+B`;@@$br zx{b+w0ZTec^Eo(^kBA@dY*5yI+ z?3ev=k4njmiWjY&=Hva@a?rH7l4DQiK8?ccKFkySH`DmbwQ_caZqEVduO2j`nkTg@})Dx)!AIjIBxy%-jJVs? z;qXu1(aA@D$)1w!NvUj|AA=%YmKA?SS}4EM5g<#peQ9i3mJ>31W~b67aEV98{2TK9 zy}tWQBsxsQdv_+@Cg=$K{XNoN;zmft+-b75x7zwZW14qkc7&v?0|fcu^4A2aE6P_H zLx7~lMaQ0>Dh-m)wVoac$^xNxv8?#Oq5%i1iy`2-f?*o=>den-0*r$(v#&e%jSY@$ ztCDW@BqnZ^J&wm+zcZUF$FYblf@ga{cqKa{@TnK9y;3SfW5r~DB$SDq9E%uQeK4^~ z&*Rgm7K!K?;3cWlMC|7Lv7P-V;-{DKl+Ug#jH*kH(tKCh*lCZV?D-(xeFX<=FP45I zU^vl3$eX`B4L|_F-_mCeI06hv1^)}%2XS-%8+(lRmpxXLK^P>fCDJS-lP7*9y@#d4||Nrhd_`2=0+s_zf>}669PN_NgZ0*K6R&bm|Y3z zJ-LH_N4ZP5A+-y&*U_Vnae`)h)3#+LHl|P&`{#JNID1&@4|(==w^g;5y?9&t(XW;I z4rBa|urezc8WR*31&OAW^H$T`dT>PlK z@&Zdr>I&M2l=3X}E$pqlUbOicS8Gu}qAES&I|XM$6SLxzvXW^x$|gJdsOu{H41FN_ zVRi_B9l>;`r)SC8=MfWrUKOaDT~rOZ66{_==i|EHf)_tTkBczC%p?ScXH0Pep=?x_4A0prXNJ^&g0 zzvqzt#}ZzEOV-)K#nR5%h7SBcj_`;Q-h}{OgL(e)QUAJ^s+W_8Ap)NI2YUQJKKB0z z|BBJ#k`WirR1*e}v3fas((!RA*;#rR^8UkA(*4izAL7cGOWV)Yic8(h#>yje4iVlt z8w$t(VDoG9@(S|`3G)hOI)?+Y|Ic|RVFX|R8ED3D#VrWt72p7Ko0)NdzzCB7A&|8- zhq;iYB{#1%n3qS$GV?kL00LT@3-X$Q&CNM1ECqNuKmvk79OeStAPxZ`J_|4pw~z(m zOQ&))z!?*nM=-N52|$Oz&&$gzgt+zBB!J%ko=7DF+#x(dc-Y+ko9Ot#V1x^~^}jT* z5QqoCoBd66&i|`{L5Q0EhbF*-fYAO;}(0,0)(-5,-0.5)(5,3) +\psline[linestyle=dashed,linecolor=lightgray](-5,1)(5,1) +\uput[0](5,0){$x$} +\uput[90](0,3){$y$} +\psline{<->}(-4.5,0)(-4.5,1) +\uput[180](-4.5,0.5){$b$} +\rput{20}(0,0){% +\psline[linestyle=dashed,linecolor=lightgray](-0.5,1)(5,1) +} +\psdot[dotsize=0.25cm,linecolor=yellow](0,0) +\psarc{->}(0,1){2}{0}{20} +\uput{1.25cm}[10](0,1){$\vartheta$} +\rput{10}(0,0){% +\pscurve[linecolor=blue](-5,2)(0,1.5)(5,2) +\psdot(0,1.5) +\rput(0,1.75){$B$} +} +%\psgrid +\psline[linecolor=red]{->}(0,0)(-0.3,1.5) +\uput[0](-0.15,0.75){\textcolor{red}{$\vec{r}_B=\vec{r}_{\text{min}}$}} +\psline{->}(0,0)(-3,1.2) +\uput[-90](-1.5,0.6){$\vec{r}$} +\psarc{->}(0,0){0.5}{0}{155} +\uput[45](0,0){$\varphi$} +\rput(7,2){\parbox{3cm}{Le vecteur $\vec{r}_B$ est l'axe de sym\'{e}trie de la hyperbole}} +\end{pspicture} +\end{center} +Prenons des coordonn\'{e}es polaires avec les transformations usuelles : +\[ +\vec{r}=\begin{pmatrix} + x\\y +\end{pmatrix} +=\begin{pmatrix} +r\cos\varphi\\ +r\sin\varphi +\end{pmatrix} +\] +\c{C}a donne pour la vitesse : +\[ +\vec{v}=\begin{pmatrix} +\dot{r}\cos\varphi-r\dot{\varphi}\sin\varphi\\ +\dot{r}\sin\varphi+r\dot{\varphi}\cos\varphi +\end{pmatrix} +\] +Le moment cin\'{e}tique : +\[ +\vec{L}=m_0\vec{r}\times \vec{v}=m_0\begin{pmatrix} +r\cos\varphi\\ +r\sin\varphi\\ +0 +\end{pmatrix}\times\begin{pmatrix} +\dot{r}\cos\varphi-r\dot{\varphi}\sin\varphi\\ +\dot{r}\sin\varphi+r\dot{\varphi}\cos\varphi\\ +0 +\end{pmatrix}=m_0\begin{pmatrix} +0\\ +0\\ +r^2 \dot{\varphi} +\end{pmatrix} +\] +Conservation du moment cin\'{e}tique demande que +\[ +\frac{\text{d}\vec{L}}{\text{d}t}=\vec{0} +\] +autrement dit : +\[ +r^2\dot{\varphi}=\text{cste}\quad \Rightarrow\quad \dot{\varphi}=\frac{1}{r^2}\cdot \text{cste} +\] +La transformation $\varphi=\arctan\frac{y}{x}$ se d\'{e}rive par rapport au temps : +\[ +\dot{\varphi}=\frac{\text{d}}{\text{d}t}\varphi=\frac{\text{d}}{\text{d}t}\left(\arctan\frac{y}{x}\right)=\frac{1}{r^2}(x\dot{y}-\dot{x}y) +\] +On peut d\'{e}duire que $x\dot{y}-\dot{x}y$ est constante pour chaque temps $t$, alors aussi pour le temps $t_0=0$ (les conditions initiales) : $x=x_0,\,y=b,\,\dot{x}=v_0,\,\dot{y}=0$ +\[ +\frac{1}{r^2}=-\frac{1}{bv_0}\frac{\text{d}\varphi}{\text{d}t} +\] +Prenons la composante $y$ de la force coulombienne : +\[ +F_y=m_0\frac{\text{d}v_y}{\text{d}t}=\frac{k}{r^2}\sin\varphi=-\frac{k}{bv_0}\frac{\text{d}\varphi}{\text{d}t}\sin\varphi +\] +Int\'{e}grant l'\'{e}quation entre $t_0$ et $t_E$ (presque infini) +\[ +m_0\int\limits_{t_0}^{t_E}\frac{\text{d}v_y}{\text{d}t} \,\text{d}t=-\frac{k}{bv_0}\int\limits_{t_0}^{t_E}\frac{\text{d}\varphi}{\text{d}t}\sin\varphi\,\text{d}t +\] +Substitutions des limites de l'int\'{e}gral : +\[ +m_0\int\limits_{v_y(t_0)}^{v_y(t_E)}\,\text{d}v_y=-\frac{k}{bv_0}\int\limits_{\varphi(t_0)}^{\varphi(t_E)}\sin\varphi\,\text{d}\varphi +\] +Avec $v_y(t_0)=0$, $v_y(t_E)=v_0\sin\vartheta$, $\varphi(t_0)=\pi$ et $\varphi(t_E)=\vartheta$ +\[ +\left.\phantom{\frac{k}{bv_0}}m_0v_y\right|_0^{v_0\sin\vartheta}=\left.\frac{k}{bv_0}\cos\varphi\right|_\pi^\vartheta +\] +puis +\begin{align*} +m_0v_0\sin\vartheta&=\frac{k}{bv_0}(\cos\vartheta +1)\\ +b&=\frac{k}{m_0v_0^2}\frac{\cos\vartheta +1}{\sin\vartheta}=\frac{k}{m_0v_0^2}\cot\left(\frac{\vartheta}{2}\right) +\end{align*} +Nommons l'\'{e}nergie initiale $E_0=\frac{1}{2}m_0v_0^2$ on re\c{c}oit : +\[ +b(\vartheta)=\frac{k}{2E_0}\cot\left(\frac{\vartheta}{2}\right) +\] +\section{La distance minimale entre le particule $\alpha$ et le noyau d'or} + +Le moment cin\'{e}tique en point $B$, qui a la distance minimale $r_B=r_\text{min}$ (l\`{a} $\vec{r}_B\perp \vec{v}_B$) est +\[ +L_B=m_0r_Bv_B +\] +Le moment cin\'{e}tique initiale est $L_0=m_0bv_0$. La conservation du moment cin\'{e}tique $L_B=L_0$ donne : +\[ +r_B=\frac{v_0}{v_B}b +\] +Prenons encore l'int\'{e}grale de la force coulombienne en direction $y$, mais seulement au point $B$ par le temps $t_B$ : +\[ +m_0\int\limits_{v_y(t_0)}^{v_y(t_B)}\,\text{d}v_y=-\frac{k}{bv_0}\int\limits_{\varphi(t_0)}^{\varphi(t_B)}\sin\varphi\,\text{d}\varphi +\] +Avec $v_y(t_0)=0$, $v_y(t_B)=v_B\sin\left(\frac{\vartheta}{2}\right)$, $\varphi(t_0)=\pi$ et $\varphi(t_B)=\frac{\pi+\vartheta}{2}$ +\[ +\left.\phantom{\frac{k}{bv_0}}m_0v_y\right|_0^{v_B\sin\left(\frac{\vartheta}{2}\right)}=\left.\frac{k}{bv_0}\cos\varphi\right|_\pi^{\frac{\pi+\vartheta}{2}} +\] +on re\c{c}oit +\[ +m_0v_B\sin\left(\frac{\vartheta}{2}\right)=\frac{k}{bv_0}\left[\cos\left(\frac{\pi+\vartheta}{2}\right)+1\right] +\] +Avec la formule trigonom\'{e}trique $\cos\left(\frac{\pi}{2}+\frac{\vartheta}{2}\right)=-\sin\left(\frac{\vartheta}{2}\right)$ : +\[ +v_B=\frac{k}{bm_0v_0}\frac{1-\sin\left(\frac{\vartheta}{2}\right)}{\sin\left(\frac{\vartheta}{2}\right)} +\] +Substituant $r_B=\frac{v_0}{v_B}b$ et avec l'\'{e}nergie initiale $E_0=\frac{1}{2}m_0v_0^2$ on re\c{c}oit : +\[ +r_\text{min}=r_B(\vartheta)=\frac{k}{2E_0}\frac{1+\sin\left(\frac{\vartheta}{2}\right)}{\sin\left(\frac{\vartheta}{2}\right)}=b(\vartheta)\frac{1+\sin\left(\frac{\vartheta}{2}\right)}{\cos\left(\frac{\vartheta}{2}\right)} +\] + +\section{Point de retour} + +Soit $b=0$, le particule $\alpha$ mouve directement vers le noyau d'or sur l'axe $x$ et \`{a} une distance $r_C$ du noyau d'or (point $C$) sa vitesse devient $v_C=0$. Prenons la conservation de l'\'{e}nergie : +\[ +\frac{1}{2}m_0v_0^2=\frac{k}{r_0}+\frac{1}{2}m_0\underbrace{v_C^2}_{=0} +\] +\c{C}a donne +\[ +r_C=\frac{2k}{m_0v_0^2} +\] +et avec la notation de l'\'{e}nergie initiale $E_0=\frac{1}{2}m_0v_0^2$ on re\c{c}oit : +\[ +r_C=\frac{k}{E_0} +\] \newpage \section{Les trajectoires des particules $\alpha$} - -L'exp\'{e}riment original donne les param\`{e}tres suivants : +Les param\`{e}tres suivants de l'exp\'{e}rience originale sont : \begin{align*} m_0&=6,64\cdot 10^{-27}\,\text{kg}\\ e_0&=1,6\cdot10^{-19}\,\text{C}\\ @@ -105,10 +256,11 @@ v_{0x}&=2,1\cdot 10^7\,\text{m\,s}^{-1} \begin{pspicture*}(-6,-9)(6,9) %\psset{unit=2}% \psgrid[subgriddiv=2,gridcolor=lightgray,subgridcolor=lightgray,gridlabels=8pt](-6,-9)(6,9) -\pscircle*[linecolor=gray](0,0){0.3} \psaxes[ticks=none,labels=none]{->}(0,0)(-5,-8)(5,8) \uput[0](5,0){$x$} \uput[90](0,8){$y$} +\rput(3,1){Zone d'ombre} +\uput[135](-0.6,0){$C$} \multido{\rA=-5+0.25}{41}{% \pstVerb{% /Pi 3.1415 def @@ -122,9 +274,10 @@ v_{0x}&=2,1\cdot 10^7\,\text{m\,s}^{-1} /x0 6 neg def /y0 \rA\space def % /v0x 2.1e7 def - /v0x 2 def + /v0x 5 def /v0y 0 def - /r1 COU 2 mul v0x 2 exp div def + /r1 COU 2 mul v0x 2 exp div neg def + /facteur v0x dup mul COU div 4 div def }% \psequadiff[method=rk4, plotpoints=1000, @@ -136,7 +289,13 @@ v_{0x}&=2,1\cdot 10^7\,\text{m\,s}^{-1} ]{0}{43}{x0 y0 v0x v0y}{\eqRuth}% \listplot[linecolor=red]{XiYi aload pop} } - +\pscustom[fillstyle=solid,fillcolor=lightgray!30,linewidth=0pt,opacity=0.5]{% +\psplot[linecolor=lightgray,plotpoints=500]{r1}{6}{x r1 sub sqrt 1.45 mul} +\psline(!6 6 r1 sub sqrt 1.45 mul)(!6 6 r1 sub sqrt 1.45 mul neg) +\psplot[linecolor=lightgray,plotpoints=500]{6}{r1}{x r1 sub sqrt 1.45 mul neg} +} +\pscircle*[linecolor=yellow](0,0){0.3} +\psdot(!r1 0) \end{pspicture*} \end{center} -- 2.20.1