From 1bd5cf415390d1aae54910c94b8b594473933089 Mon Sep 17 00:00:00 2001 From: Hearot Date: Fri, 20 Oct 2023 10:13:04 +0200 Subject: [PATCH] feat(algebra1): generalizza l'enunciato sugli stabilizzatori coniugati --- .../main.pdf | Bin 230336 -> 230858 bytes .../main.tex | 78 ++++++++++++------ 2 files changed, 55 insertions(+), 23 deletions(-) diff --git a/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.pdf b/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.pdf index a1d6873af9e0f3d8b8bd55fc6f82383d17ae41a9..5b03a449587bfcbbf1d60ac6d35a5bcadc2a544a 100644 GIT binary patch delta 88320 zcmcG$Wl)^k_U?B1LIk`34uGSnEsCHZ3cG@ZgO!^#00`pd zOuGt!VF1tT%0gC$@VcjKM3rDFCX_Cs^@aIds8$h&*%aH8_mmhUXgF!C13}w?6-sve=@JfBXpMQSZ^ZA6dIa);4DcfMDf4A$w2}5YR$*u zDSKF-RDlXO0~Is4hJi52vs+cW!Zn-5a=iLkpc_{u>6gdzQp7LO zV>-;sYC+f!gxvvhhTkfvqQ6I*UecY;J%Y6qOsEnp3$w20`=-jyOP`6~&?KmK6?Mn5 z!MGr3u5Fmb)k^VnQKvqO{tW$1rYA`qIO@J~89z4!82jmdUWhPcOtPZLn1?r9GJ=`V zl5HKa+2^lnquyk{uWt}y6xAw)f;?!+qzJE@@>5$XtE!LgS366Ezzs96SYQ9BbUwJ( zW?$Mvb9SK=#x^>d3jsceP{xo0_H3ofQ$ToJ7LbQ`I@A2Y?Sj|DQ%|#hkF=qKT7hLXvv*#>9y{3A_Kf9u5HW($pVKL{88V+tr z$V$DT%y;|36!{(Bn6RGk_hGwHZP$*!7a z9UR8;$dd`>5e<;EZc=)6YIF>zX35y#27Wh1I|S;EfKngB4=wew@Cm> zVV96bNl+o{mnwcC*6!w8x3I^4!}22?p2Y-{ZyV;t;asN%$ehDZ_+yB z2@#4QCT2R(CK4hG@0;I)w2Hw{MwZuc#=y^FJvz;E-);-MIX@3*&hFhl#cstluLKJC zI?FK$K?@RY%$FK$i%tLD7h^ZH#f6EU@}NA}oBl!iJbc82wxwN-Lz7X78E6e=~ zuO<=hg}=7E4M0XtpG*`Dj3S+E1N*5ikeLl=-!)}VFH5-p2_l)F#JLq<(sH5HtdFSo zqvXn01v-|aVF}}|K9KB|Nqx8Vsp!2MNnQK>=rfvREdO}x^5+w0x~=T&lzD@NZE;~C zL=PRB_Wn&>L!|M?#bo0+aLiO(lB*DRkw-|R zXp^DzJD3Ni;Zz}L)Re&A8`2Db%7t*w*h=bzz0+fxgaG==N2jHgXqP&905)D%=hKo4 zPQ<4SxP>+-gROX|k#D+C-w~Ck#!mD>td0Oo_zX zU7|p~lTx@4n9DJJuqvXeBy!K(f=-T)bE-iw?!rUAO>y118i1`NWxw9%9qQ zSRXquVZN#c6arnE+#m-l(fmN==3_TpHu(;dfmwc)%%^)LsIS_fPXVwivVg}hfpk{w zgs*oY0qw~pL~mr>40U}PNb$?F41}2z`4JJW8>hj42M+5KSZH8b5I^8ODj6WU%oYLR z20v`(3?+w+DKO}y``CCMH74*=H5#%#YHl<9^sg%v7-P;;q}q4=S}pknmtTjg+8&o< zzqR=sEHlIBh;jF$)cn1dl{B#iL1J*V$~~%U2jV7hOomK|&3>Lm>P#w4 zoXtcMUAs0WgB2AS+nrco$ii;eDQz=H`eg^`U3(-xP$DJJQup$wIr}xekPeW+j!$Kw zp@jFFlX2)2>ntybrHq!frKiDhSIwx%Ns%o%25gC&tRa!gU1kKmOVlWe+Sykgy^X-H z#A4aXhrNEv9rc^IPmm&JKJ;~Mx;Z=!gTI;LJ+%nN02|k*Q=RPKZoe$zaw?}$S;}Bv znjM_%+&C@tHDC48=M+Y#f2XbP{>0_6O(!KEX|2K_QOEBo1mypy-#TdxB_}>L{}fp% ze>(V+Q*=7!i&In2GHrXA<~mf$JT;rpu4}dA6OD)NB7DRzq`)sxK6wcZqlnIoF+b;^ zJ5?%v7K4vquE^%g$C+nJK~ID5Rq+t^qHtt76I#CTSb2qjuz&9M9{=pBYtW-{&hHr` ziKS2oKP){x}qnGT*w|3*@_LjxzvOo~uo4tz`-V29HW~X;J(8Y7z6H=T~ z#BgUAyfxt7QF8xh;a)6ufyekP?*K4>Z1$6a;rcU3?_EFN;7ZdktyC3bhYth$v=NFw z<8^us7hs;+yeZC$XO?pa5g)jbRZ*O=!ECl)M%x#WZc08RinKbkobEq4crL26zjf!G z2p8{WulMjb(M(8@JU(oX|eyM#G#3C=-h4J&>^48M~~H(^^8{6K%3zT20d>Z5%Di_Y5r#Lkfb~OuEM|T%9 z3s(RSM3MTF%70n;u+U>Lz&y7G`! z9-QtcEr!y9aux(fET#S0nvW2>dAj}Os;Vg0d|Gb>0!b#^UsZ;dgvcx3&^G(M_8F)?-R>kt|$zLWn>eq+Y zOW7SB%(6)@?|Ix49l+f$4xhl+`@DjH#5#>$<;bV2EMN^u_RBtR&~&MD=80YUts^fr zjf5=I9A9w+HYa1jZp^fQ7@8FlKd|2vw3SLEpzyeeLN7OFBGR-jjG+pK4K z47hhh-qkD6&eo(m&##6Nvm$;6eQOxE}Ut%{2%C&KM>TCrrxBn)Yz^l8 zy=?ws$HX8L@{&Ca-H$!YI@MU|BI01m6N`KMU#Tjp1nfEC{Ap7s!uB~u1+tMB_Zx&y z0{6L}?Un3x+@{`wNsuBP`U)6?3QA5h!<$8No_o5>#(z^@jA=#JmW^af!w3^CPmubE z^ava^K@RjcaNPJMW@i>QCH(kO@`;LuA3n^z1PLfRe4yP^qY5M1tihV0Wi~J5G)1sq2Ia-Mp+mS9oR0V zDMM+0aLyxai+K`^c=F{w@3$|hkqx^hp}IrcK5GrCS`o{S@p2bcCj9L$-GV_KR2uUc ztMC_WY;Z#c_&P5>mgJ<8F>st={ic9@ZSp8Kf>ec8`MJYal+?-S&|vdmzV5SX@mrDI z1kXt)EltlU?dJd^WLz{d%NG@;%Cj@+0Iec{eGP&0cneZPQxM$`Q*%$}xoId#e6>JF z!L*(Z=F#lZsA*$VYGzUW23yBy4dWH(OuUt=Jx24KP1Yh~&zn_VHT5Cj1FvsR z!)HuRv%({bM(&cca?az5p@D2p3+j3Vq{KBxuFRNkZx2e}FkzV7fW~#n!a?ue;p1zs zx2*+RfVKO-PH{xM%d=5r`r2M&Yy`y1B%1I$Y_9N74(~I?Ov~$S$a6bi4KE}C3i9%t z-C)@cfm~?}+Q-fJY@L3YYv^|A>>6HA|LVA%1z zPV273BwzN&oT5sV#@XWRIKVc6_SXTJ3_ba?lK5&&CvL|O#aa_0S?8~@?}?&#;T-Vu zCj_yC^o>oA1SX)mXGDMC{|XT?7eY)T#t&BLB{&r2u1C{H0$i1gyoG~?eJtS1n+Y{v z0k`oJei(N(a>qdH;V>7w?H1(!oN5B2q4|5!V5ZSR810E$>IE)%D*Azfymt{dH+}`Z zNpjyrYTyGmCU+9{P-0_TnKNvJ_?eqrL=s7d8UxqNPUgsupV!&Lq896s`C0t}1 zxJQ{F;pa2saMgo8ULHLKel^V`=|=;lBn74)M?YR1?vV+QCFr3>reQIZoQ&`Mc5_`k z#k%@WX+{&_VuIQq7yaJo!I$!lUNAryL$z`2dRh;)y^81_o24e9^izT#hC6R)F~Gz% zE(+|8P>52j5e2#D($0qUY#)x75$s7zjIs@zLUTrgp;78V=s*@28F9 zrW?YLR(M}7r@0=7ZU{ASbKoOP?H5>g;XUB?AC$zKK+)1nYCz#1qX;8b<-qoKq+EUg zx?&&0UZyAiyp=nGK)n3w)O<|5nZOD|+A}tm2m4a>?;Xqu@WwvH+|=ery(4$ACEJ@r z;R-*}x&SGw1|(!yWQXog0s;f_A^?G{(UzDKeJwI~`Fnsm>Bwm`)Ms4QicfYpL*YkL za7S{RwcO<8)#>HApzTAxK9hGWjf^z)W;o`?G;0jC)B;@a5ZZ-I4wpEp%lTmhe}9qkxx~3!mPKUtkG(;aNNDer7KZg0y za=}R?P7xBJhi)GHM2N|(#0jQ8X+uN2BS~&FC-m_rh2S=&eu6?8t^SPmo+vbiN${&* z+G1^4_X34`2tKgyHoUnJo;&O4t%SueB1T#$?ii<$y7 zy~1#3y0ki%le0|Xs@im;St?9Aux|CcF8MItixtRV=b!VQ z)`V8+tkm5fO&biLlf|{C!)$KR`F@v?vI5M#uaV6lH$H)c%=ahfWe3Lg+m2 zD}ZN;$TV%Il|7C+Px-9GIPY36PI{I)dd5Fbx%W=~G5h4t?*q6?U_dnDzk7R28) zxUAKE#gaxwf+F$J@k!w$mqx_%g`5#V5&D{2B!Jf;c#o+;h!QNrh@wi~>c0126G`$;UhPt$CU0OCG z)^LQ~vhw4>)HGqHTh(EA&4sTzNr!(eIw4ir_o)?lg!e=da7nQTy;5(wG^U|lGlE%MA>}Va?P0lZOcILBlojIbx$$*SHT1qsI%M8c))QNQ z3n>blf0z2*R-Dmtgy~UXoudpF%S1GGu6~B#h}L}EZutncdxDYXIn8W5^YZf!oACF2 z6~~aAqpGv@saCT(539@Uv{_ZI7Xf2Kfl8cRZdI;=9BXX6r*t^GKkbjwHe-!4}(YMZ)ET2oQE#&kD)dGFzO zn7Spa3GQw{#kD6-iQl_Cwq>L6hxk^0!6G8(W?ZS`#DrDHL?ssmPvwA}>l2{9uZqL) zp7kbPVBFGAvpx_mJK6v{FB_)2W8IwKJxI)G$s74G-dsWv{C0}xecIuOxlifH;Ac1S ztr+Jz3Fr>U_AiLG#_pN#rig>${`fU4eVK=d6FjHrWKfwyc&;zhU591AWNyz(WSBSh ztGkR?WOzY~ikya;2gA!=K+=O=9-ShV!}wUmp9xcPz;#>f;23Lac%;1!fAZVBQo*BH z2vubWy7m8<%S z(BRw!?6i$X`3QENo(h|C)O{-#J2I=I`}{n`HCK>Z5D|D&J$HOs%K_8&tz z`T5vDAc!3W70l}zVgP(Rey;zT=k@;C0c62{;qSk>`2Q7a|6iE;pUlql4<3KLGOoWF z|Mh-w{mu1!ukF`witR53=i&r#{Riy-0r0O8Tz^A8A3uPL=MSe7g8t0$e<(;?uQ&Z) z3eu#WPW-AAj{kj)O0EL5YR5%?M?(Ow4h1LHS>FxM9W3k28-XOgR0+h9n$45o9nN){ z{R}w&^a6>d%yoC)TTM+=b_arwS0~8i`Y(RJ_Lk*~@k0RAa0dEdU4}S59#mR1wad|4 zOJ~S0{qyqO<62z4@fVf~zra+AYB2xwHTaD7RIz|D=~DCT%kw6!rjBOy_x%>y`DGu4 zKnL{ zk>rsm>ZM}MdY_iE{_kc@=rzPy%{9|J=+pX@3_~)gaw=;EWf+|KqZ*8aSP{!*4g z`Nj3u-uRnn>5pRgFyu6xdJGAyhtap^qmzi8OFdR!SVZpug(7PsWY4`k&}S{tp31*@ z)5ZGzB>Aa~nW@zoLJVpZl}zv^CU_O0Q=`gSKT-%qQ8|Yc%7~Ns`=o-MKLdt{$%N-_Q#yNznO< zmZQHn3+yf6Moz`49wmOnFl^a^WB!C5YbIg&bW(fs5yo++Q{tUWk9qbSXGml=60%fu zpwf92geg(?NI+zdKEe)+g$x}zywG6^<0O8EZI?POO{X4#B-~_Y`O$5;k=aOq%7~iY zKDecM#xv2Ms+MXAfMDHGxUl(y`V-8S)fHcGgmBG?ji}>-m}4zTnTezf(E?mp1S*kq zia?RI#zer@nca}%-P67H)=|50NvgNv_?rXDEk~RilW#?tpTY;hin=Q1CFu;(x`VOe zvvJPWsXz>4naqhz#l8r|4<-aQ6wK$gH4MRAPk2x}?oA@8B>D4kp}pwRuv^}>3M=7k zU}~lKh{3PYDgg-KSxWYJZe|Y0fytrTY=uYt;8Hv z9u<@mF98{FW+_Q^cY{!`yrlJJg#ZV1M|uDGHSOq$dQ%0)1?Tp#0iK;U6t!8WW501Y zv#rKmp>T2bT#5IJ{!wvijB#|hgGU}#s}I1pwN%LWgxnYWO~ORX?Pf&7ZZLarYgU+y z0b1tMFv{6?z66->piF~g=z%T5t!)2rB@;HO{T5_o>%ync3MoqYK&iPS)C1IJGgqe4 zZh@sEPJQ0N62rIaFzcwa9SmR0h@H)TB3!smwIsNH)0ir2a^Wxa>dc;oZgjHAmd-o{GR4mrxV=M&QY5GUeMhEX71pZIhG!rNi^H2GEu&nI1Gj> z%sXAR~0CzG~350=tSKWlaq7@nh|?9 z*l=}9RPUZ7n?@aH@nj0P%gxM$-h3b1jD<)PVP(nai3E_VTI^HdYNW7i=1XpLd zj$Z9uI0V-JS%Xi+AUD;fACq=@Q7j> z9QpHpF0RYlHKbcD2RAy8Vd1@@j&^iOBd zhCX97TUTiP`ZRgVv~1eSO4}&w^RdJ4q%^7zDa=@LAYf^8d=_oL2n7lym|j;C&2()U z%;_Joh$66c#ny}y>UR3nF!H;i;^SL6KxS-lX8D#$aqArD@ zLiEpMg}_!9tpUH|%ATRXq8fqSWV2(GzG=)z{P)q{XLE1go&^u1J_guUe*aowGyf3M zKQ*$mms{`9Z~=?*iyJ}TRNJ}T&{pOm2mCbyiOvy1J8w)s-e)!JVnE^jORV*ACLE|m zx0N8ZeBIM6xWDb!ecSJ$dDAtvNhn(n;0{<+ZCn3f6SY9B9+_Yr`}f-Vt4?IO` zKC6WDYk@7e5uw}@#cV{^-K9Q>qr;pVA+2t&TYLbGVUX=xdF5Sgt5Zg@AQa)NSw{;D zVW_t0$8-s_l*YFY98K@ZYNmn-b@34#aaa^O1g7BUy;ier$+wj3kW8mPX~(cutya6f zESLHkICKn)Zf!(#;9xj+R3#fUuY!%S3D5jgG>(DXDf57P!L8=w+JQ z!&o_UQ)jDt1>USKd4ChurV&5;4n`v^2I1{I?ak(i_(U-1+DITZoCC#zt<;Rox@T|I@}ZmS3kB! z0ZP(dYH9D=WH-9qdg!$_*wu%Z@(Q}ozWBkeicz*BTUygzI`KQYJT?1(3oi{G+ z4e}3rk2c??%nbU-RiM+H;=X+hozk~Wu{(De*`a%bG5@2chrlYGMNO3mT->bAKO+K3HkvAZuE7ZpTRpc78aw6jlP8tcs=QI>B9MN;EAG$F zXpWHX^Wrsvi5hyN(wx2EPU2kd$Iz#G`Ch;p18ubEd%t5Z`PbIj0Hi_Qw-_JdS4+sG zak%&S>c3w-smIJvV=I(&N>TAVj>E3FU{a_pEfpa7jD1>P0~-i>9Z6_c*p;l;Al@$3 zAo81f`|84iKpSsbP%(sveJsPnn&SZpjG&gqQ(KZ19xNKq`?q{NEV>9xVTfX1-fd)P z*8_LCd;K}jRB;|Y@!qI9o=;*YwGr4L!Vz=38~aWn$8_gqPvcsnW0T61&;c$Ip6ZWO zwkTc@%k4N|-~8c3S2q_66Z^l35d?`7rNsSP{w*006hn|8Ic%heZiMe>CO4_xx`+ zBZz|+()*1OysxkG>Se_CU#v0C4XMJ}Zo{PYmNC^6W@1}a+wV;!H^$L1Q^a8=R~q~x zyv_w{j6jN|FB`Wv7A%29I`QMjkE`22+UQky9YL^!R36yp@dz^AWT>L6%ecI={{>$+ zIcO;~wR!GxeEfE2cxTpfl|1f=L^kTArDT16fATa9Y;@b;d(E$0!cnPl$#8`U_UU(1 zy>Lv`KPg<^DrGX}v-o5eu_fY#4?AlTDa#gvIVHZ`*CemQ^Pvqxnb5)AW{<^#A zY>(d=;y!}SEl;z*eof-!N$m(f>R+bQl~~J~OV9H9%gFKI6?2x5z`$9Q1agMVI7|>g zW|tgBz;!EgxpK<-!x8h0Z(ou~4CLqt>vQLWB@ zi*je{q(VB$GBW3JUD1+aGBJ{Cn>krt?$4~Mw78E+lng7 zYzM$-q~AMuZOMqo+`aagv!V55)?mv!-+jkh->91&9DOf(+K;h@-B=BFw;YQ8)&AI| zv*<(rD_<=$dEqEu?VE_!_xBGy(>mzem2=HTrfEg*+8Fzh8Wm$Y=82d$vNLnItekQz zlEKNvDks1qZAL`+2_OoMxKS@7zAFkt6kq73QU`D8dHZhW(_Q=*@XsijBs{rMxv^Vu zT+1oJ=SNG~l&J>dkG&s7a3Tr=H`kHbGE$Bhm$n$Uv>IE6R`r&Y-uU)ola4^nN+RI; zeZ17SaKf>-!Z5;{e*o!3>zfEOz7sIO>4OUjwC$BnSHPz_abMit_ON@w_PC8sRMuKE zT7^h{xZ`MgS0X%~WG?S8iB{A)pXg`yUcnA?U*gN+x`ElIibN|b%&t#ptP+h?hUhNB zurNI3XRQ9A21JzP5kxE!YkSO%L8B5?rpxcP7Z8F^s?; z;U1R9r5(u&VChlY6I!|Z2r_$2-?O}5l@{ryi{^fQm=EI1cx)kQ4+Xb3hOqKP6U29u zD4J|_(``vqwSz(tegtRd=EB6_5?-}r1Oy($4~RQNdp!xEU}Ls3_GDIuSVLOYv{`+qjD*PKnU7`YXOD&ji6m0*p6H)Yqwj`YsQtZ+Tt=4?J~BQikq5T?u1Z|3Xiz3W#|RQ@H*gun!?jr z4`($T#YmZur($C1VJz{PgWu8<+@2I+@iT3WhLb*vlyVd|zz$G?YW>Mx)Fmb@8*8Or zSVkTn8wRasFdv@QY9gV5VM;}aV9+KLj;cLj+xS|HjPbbkEIG-A`ao1TgJ0p(`oIz% z11j9LX#T7knlf?e^OU-5d9*rKlO=r6LKyp#CCM6TxCJ4}=wZM>I*QB^*eKYxU`E9n zgr!8zTr+LI(H6W;{=-X7p)DoYX1ZPLg;tKJw$>ob$z{_)G%&NdXyL`*`r=;mtJoMi z6f`OULMLTBkW&dR=L&d8l}^rG2rbk?z-et!Pr%mRC3y9D@R&bs@YiU3!$8J|)>#|> zCd_8Ub9*L{;cj8l`&fAaup*JlpqazL^}xIXqL9_5}C_yZ)Kq>O14>p?i+ zGuIo`&Y+BNRnLsJ&Xm~0G2lirRQ66AM=+Jwl}*!?*SP&Ebl}2fE7T4n^e+2c_5smg zLuNSSZNj3!TSoTLWQ1_O&(lr7loZz<26BNg=j=U8SabA5%4`Ael3vxfrGY;Y?gq?3 z(B!#uAr#l-bQq#HVB{!DczV|g8fyQMEWChcC-`Ba02+AT* zN5+bC`vCu(R*K6D#S(=`E^!l<887x*^fH&Zcy-v=7Hc3o5?3q>$0WmugrQPU74J_m z!Rc%#B;HaC7?v6iOd({1xSNcZ9x@ImsB|h#aZ}h-2Q5=nmolN zr9Yj1+Gk~1r941FAsmfWoWby9A8mPfF$n*~u01j!9m8VOidSt96X`}z;sxVdl&p|I z6ko?4oj_deusfdrWgtdG3!I>(bbCYrBW(1S>cvvL^2Xz&Gd93vPC%%5W|f`-ZVwSnaM!;x`XpmDfQ*~s00c8K*}-YOLh)n zp{zJv11DQQTAnJoXR;d+PJTL*H%{2orhc)bTo9O{RcCCVk}=;csugR`T}Mkns9-&8 zM2JzeZ^W{JpDgZa?9hk%vlkZVONx5y5^wnIfi_u3>2nx#9~p*b+JMIwQYDl73XjEX zhYD&t;M!;hw~_)Q`WM5&ytoq#n?x8lqqq5aXLqZ9KJk_X)|ivr268>@{Zr)xR!vI$ z4)RZERPlui8@(kLS*C4UN9Ye zWuzO?{<2*8&T86!d43xzG*2w&WK`laf6rir`#tf&3IBoV_BHW=ZXrSh)D|1ogM6H5 zfS{w_PihEMB4rwKV1q}X89laQ+oR%8wduho?Q(eI)s1f%wzQPg^%n#x@VHNxcsW=`$uPQ^YYzRS5j&R-d&q4D|fg&ULM7 zc}j)*UvMfk;xMLUeaO9>-^iLK&MKaK0MypNcl2-a)xW``iI#V*yUWgCk`)Q64Q_G=3z>>sIE|w8Gxd%|_Tg^#rLA0!)I|Qn+lAaeT=pFdrd0&y4 z3HxMky`{p)4IgpJ}B&w1#nC%&U1@QdXF32OC7Y12jkP_d1*}Z;zq9v^bmmxeT7qJA4 z=dUXU>Rg$CE(<=NprE_OK6$>e5n?-3bP*)Dt{g95>B-Q!#IjDFoJU}7QNS_Z$nj)z zosxr18f5W>*&*Y8MiBx%qmVA&qjgAax>fnJi5qOc$hEt|7#nnL#~TN!YDT&naQs;J zb9)acnMXd01f2!KIK7_+!>bRo(~YL-o2FGc1ELdD+6`Kch<<9>GGGqEk#!{m-Ag(P zXs~&qrFA2NjC>X4bT629`DhKEVY3L*4nK*b$i;p8Ff(rYlBbOzL;T5P@x1dHN+S_T z({})gSHDv-Wq9WDm&*6kymz6a@)j%975eckYa8MBg(pSw8R4H(!N^~&%4=A(S1Dbp zZ=8%y{3V)}1x_&4`I*Pje= zJ6+cnht1M{*3;O#!XwQh-sSC|nyKct{7?_8&ep$@#d6bs^!z9y3`@b}_xK6W;K5c* z)OC2z5+7IC5?iWf3C3kc@|I}tG`{QhyU@f>3v;eQH=zAMqr>up<4JDWb`yv<+&*hH4)V0Sf7cN}$O#qO5kyj$i~Ud{j|fn$f&NX$ z{x@aS32k9-yTSbfLRev*tPm%!N*)vKmlf_Y#-k)y!*f#c@(Wz=*w&ZJ{IKw}JMoUV zvruzmt^sv@sljC>Zb(DVmr4#$luGLH5X1YY5JUK1RtBzr8P*|H6hx4ZXu=d+ z+@RO$2Pc4s_f_BL0lwb`j9f$iLl@Rtn^%uUsOa_%=STL{6 zRUi{I@BcU5{~w-wo_~1h|EcwJ0|DIs@$mn{Cjk0~q|eU*cn$lv?*DHi{$Cz||C>?Z zFK@tKxqGypwQzFt{ag2M(vfvsmBQ^l)w;AqsikXRXN)S8d_&Mi6KVhmfWWeH zvcYCFwl#|R`)xXfWdT1`GV#;kgeyC4{OlU!YmawwYwG)b(~>nGy{I7hNAQnz5SEOh zj#K;;A|_XMWJ$0-)M4IbqA|2e*I=ZfZ*iVK(L73=`=W!2O@F?=Kn{M+5eO1oFVRd% z*11kN_)xwpU;ys)y4m3-*p-h=m2rguHr@N(f$S9ev5JHSDa6JruIgn z)QDQ8;d*86`vnX>DsUncIZlJHLo;T@YCPXc?>H~E)Wp%zX6g^<-;CxQv3E1KC)2R_ z#8W965vQ~mC?;dut1O6EeGHFZv{ld?2adfJ)Z}(l{StAp?>rev?sx z?mVwLN2ZahgoM@aQx;?|Y?{)_`0;3C78MCa3Jpd7#756x09bd(J!4Pvy;Z_Qr=n%m zjsbogL8~p&W<^HrY+?LFIr25OjPu4!CuV(MHohrRXDkiyxBC}%Id&6W3(fD`pTC6< z1Kkf5$vYEe%@L^Ar+Xs4b|oGu^dXtz-)=gUV1*K{VmXPV#WgD3krVYkL517!i@hiM zGSw|wz5BH|lM*aB8F&jAH$Xi!iBNO7`)WeGM;)o54RH`K`fW+$WTp2B#I>ZnLE5DVhf-b4d-cY zB$z>%=nQwez15CP0ZnU2&IKR#5D@V-N6_7cH_ZcAd)%;>oy#CJJ^3WB(n}|6H$cTA zCnozdDH0gYVTGftz@G?{$docd6u$rG+!;s08@ro^Uv?rg`gl*=xI`}rVQXeIrYmjI zY#rfV_qAN>)Nvisd3)sknLd3cEE@4)zySpIdli)eBL3p=6&VKg3p;gv^J<&s7wC;T z?ljPye~9sDr&V-2+xhsxRh`HPs`A`ilgJvr*8+Hr-rd7S5~`;kN*1v62~Bg=4ReNY z%;&RRyH*jh-k5c_KDm9LCoXu>4bfawY|+^*Wd;+AUA(TmXH`nH1W+jywTTd9Ck~wq z^3~>}69MT`IyAZqZ{1^}EI1?Q=?3>{-G88)3*tsfI_n|67yH0Lm1iGYVH^*$iOH~>o zJc)-DP`!~+Kxl)qPj&oGi3r!A)49(3HVZp}_-()?9oY7Hm%{{hU!RjwKURJ~AFrT~ z^gZ@?)3ug+{9t!_x3)_r8D!o?T;X>fUn|G`V$k;2-tn4 zlN4^Sji(5NZ#JinoEEy1uGAs>T)WWCs43Kn1dZ&wp>tux&F0>O4n#uS!@L1GTzb5* zdtW`!26|Iej}16)J#VJ+RgdKsl*j5zwFk-PsVWKHp^Dh8 zvG)uucp_#N%%C4}*?A2OO=?Rb(AjkjLOR&K&(oB1OB12Tgj6-IZRwSf?aH;^!7BZ; z$N$LDn__=*G(OH>r^){5HsprrkhA``RKop#nDMx||72TeZpa6K68JyI*8Xu+?NwX( z&k?qNTIT+lI{&Fy{4;g_Gu8gzj<)?fy}o8tVMq}s4MauU5SkBCBaR2n-!Ldn0u95% z0ojqr#e7ZS|I#h=`2IXRK(J-rG!#mvL8BV{ts3!gLENNEp+OC#GFC8vKQ6pKGKU^F z&#SQ!@L#VGPK7tnT##NlX2_N#T*H|hFEr$X0x}jaFE1P4|IEn;5mcb~#~S<%b_$3v zFuWWM?n?A9#JvC673ft);^yLF0|G$&+-$snh7uKf7-(PvuDUM_G*?5SraR2*))2Mz zVNn0GH7-s_fG!A3V#xa045i@{=^9^9|4JIhc zO3E*dnL;Hd`5iv~BSyO~k+>tbLg z5}(TVI#etcC^*#UK#Hh9QBi*^nI9LTaB66up{@d!p}D;RZISqJ;f+(ITfL}FFyf9* z{eBz5EZg%37^}{NuYH*ftglv~nZSoZw0-wAPG#|w%$|}>)Gve;E$Z&K7P1GjG-yRJ zCVqN$7DBKCj@pp~kbUB74b0_eq*lR<3ZfFq_vkT74%EfcI-;=cgnFMJNR4)zCQe}z ze-{EM==l(gI)RTOZBQy0wknp`bGjb*vz%Deo|oad#yIv1Olu$*0}<%}{zd&<`L5<2 z$HRqrL=|h_JUYyMST9+?9R~q}ik@sR!S~Pugm+sW;4d(gYzzbL!UM1{u7OMXh|dmW zFd9ko@b9XLes71@OZKgOWiZ5@*e8(gHnOOW*THt6k9Tqp?VDlfsrij-Ec5yMZJW={ zuQq)vzP>l-H@x-Xz2DEkGqpZvLsm%PZ6aaiOwW;RJkY<*TmuRN-vJWCVW{4TetwH} zVsZMv06##$zsUD%e**(=H|TFC_?P*bgP)HZ!VPGDO#|u&vxi>)0DMpo4=50gd<^yT z`ESR+5daJZ+QDqmKpUt73=a5D^=mWK{x5ue|45h@&+{db;#y&L2)K*) zf5LxXF`tf#p0bKA*B{FNIOXIJUO*on0e&D4zYqur1__D)e;-~i{Qg}>2Lk)k$A9Ij z!tD{jU&Vg)dwo!U_w4aU1nhq%gai2RVp@o6=|X|*|53U*NC;$m{RRGi*8A_2|38`k zs`7tT`u}#M^w`Dax1as5fd7vl;tF%|{u6O6-N)$bG0;R@4+H#vLye(-&8{ZY4))mf zf4!<`$n`kLf5IKECCvjCybnMzQ|t~dOcMC?n4o7i?I7Oef&bgKnM~E@djL9 z{xuQ;`hc&;)DG(PTirlDUN{1ModUe(><6?*AOXKFfBGR9$fx|v^c#Ue0zf{8|AK-* zKF5EcFbK%!@~gRj{9t|{pW8oBK=c|p!odIKzb@zg8~&?l+s8=cHLKrhyJqw^{{8%b zLcO52fT;iO+ zB}=DPe=RxplkEA=`#vjGOx50kM?6eQ>kdpdaT8ZZH^vfuj_L1Bkk(`68K=lGiWMQd zuyh!r$l8dc?Hs!FSxJ2#RCY`zda_X#D?L;TY0_$GD=*H}prRKw+Ww-4Zm{V!SQR>; zevtFUH8yxT+B_mv>-jx(iI!79f@c}oVozW1e=KDi!l~<#N<2mxb)>^o-p{}N!r-hH7NYJwJ=QV2`17%Ps;b#g_fvLm zf6WBR%aWCCzZ%x&7!UhU?8XP>Dda1PTvVAHn|}7eFS=P=vSyFiL&l8x%|y~1n+&90 z&Wb*53@{-V5Fqh@rIi}q;;Z@ELr`dXj*xL(SV5 zaqsQSa%cDQ*9)q~6$(-Er4ZQTf7Kz) zq!n!$Qb#|Y+cWIXNP;MJdxJL;Vxya67Y`b8qBuq?=*GU?Y$}!vB;*x+^)++rK)`{H zc0W_{7L!?v71Nc?6~gMyo*cbV!NOU0P(MNK5951G-)OK`YO^xlFG7B7ARZ~9wBtFR zCKa&m+VTHr@Ql`a_jXi8>QKS&e{hd*CM&+nH2GH3x9SS8)1%U0hvHlKtzes$hD^2B z5MS#S$Cx6UCmijbrop?mW^5p*q`gWLtcTtw4uIQfjx_ppAurhQp7>F?UGj`<+D}*l zA?FiTfG#>0L5$JH{yJQ5f3cOpDh4W3R>g^p@lAq*a$e+$)rwtx~C zij8&7<+hBrNqD}8>2Dx}5ch`&TFK!rZ{EhEm_6?vJOl4?4NsGg-XPsJuBqhjb3a+i>Qgvp=WMQCq)b8|LuQ$@4kL#RxWrb=J_&kkl&P8MeV=|lIR(X(< zk)^_HbUYhqSIb-*AZ{o4eW{nb5j5LY?Q^h-sNbX)#|{N z#eytdbeX3!ICu4~Geo2R3GM7@n!%6`*ymH=ZCXlrZp5?kY^7-*e;b45fhK$W&@bO| z-}*#ojBK%mx3vNKOtM6m`(7@d9q-gENJ$6Yo?fXo$erv(?C5zuA6*gygfV778+HMF zKZqh4*BR*Bsj0lrzt!LJdzu@DUYj;~5!`t1VZaY}^wUNAGru;9wc#X=@=y_6eZ5hW zWbeBa5}BxKey3z@f6Jz&;6^gmwwtkrS&bo!K2l>be7PlMujE}33#*_())K!wx0$fSw-m2SftXTm72U0&j{4_ueOBQg_->(1Af972fe=v35?KVD3y5S%_a04tUI|m>VIT0xm93E~O*xJ*yA@LN-bn;H#4aEpc#v~05@k%XQYRaAMfiz(U*72 zbM6U4nySffe?d(*p8Lh&2*2X@Qx691SQ(X54Ze#em>J+J5^nSFj{yB}mP-ilzI54< z@=TaF*_8OAVj5H4jqBw>(R|x4U`2_CCF5R(4J9*s4aQkPSI-75Ue$AJ!>ORYGs~HH zMT_Q0@a-tR;A#57Le=b*lPqV3wZll5?(2$5BKDVGf5rO)%XLW%nV!nK*{pw*5kKjW z#}b8Zuqm0bM*&{^3^|QEeJMRi9fQP*{Fc_#XmwB;LO?!ZuT5w?{|S4!IH&mWDQNCE zKE|0Zp_Hvm=b;u@kye<3Z4ZGQ=><(ZMFqXvdsoSj|ZHnq!h=TD+4N-O}g4N z;#z7?fAV_b4O7dHGM0gwVJ>F|D)hbZkxTE4PN-pb_tj5Sh%D}GW+Wm+fN9Xzf(ck= zk-oAr}dv>Xl!q-<*bH?p?zHzboCC zZL}VwR!hTpiqFN=OXmy;$u*_b9H0L09M~|A_&$jfNke)S!?v#WwY^q^{=+ zf9=bMR6;+)@6(ATf98H+Xho%=BOPDU(|1=(zI07r^JpBlJ5Dk!m3)i5d+0cP_2%k# z0nX1(_l-NU6gEZHqgZ~7`u@mfu2YI!=o^Tvzogxm)<_h$dIGT1O;J;2sclT@FzscZ zq^5G!b6>xGoUdj^o#1ajL53sBo$^Mwf9lI!EAUzVsJ|zW_}$hkdVOv@X>hD`Fd^~& zgzQ+?g0~BM(6Yvjh9UI3Tqc}d!#Ika?RBCynm4X8Bb-#{aR!v4aWjey*oDU04m{H- z6YbHY-|1R3L4lK;-A0I!WGQA!V7kp<5yr$2^xUsR!&c3&cJ44UJnhwibj!iOf|&>e>vkt&J&j7Fzzdwz2dG6;Sw z46;C32Lcifl6{{yCbCyh3Fa&mv2X0jRbKFrJ2$;+$nH*YE?hb|f2Yn^>KZjCGjCNO z`(W*J+oQ(OHVQ&+7Ck7D>zINW&fA!_7&rg^z0$o1VtkX?MA-`wS6R%|;nz%DyB00+ zdn@Vw)cC^*#Vu|NO-HGBf9h%Em0#WpNYwh2Q~s=T!B-rpPOu|P)+W1fJl11vz0%?& z#z%~O7wb_~Y{1o};Y(J|GhsUO$^BZnwWY-Ac!|EvRh?)SHyo$80d3tIo*n2AE?DtA zth7Mw^;mY@&oN-LVPRMQ9%|jRG0Q2$?*+j8Jz7P6lVG>+lrfzTf1t3m3Vhc`yv6*9_DfadX^u~UPLwhM4m8>Yv&_e;aP{R}4~nq%NLXq_f7;!3linU0D=o{kAD17z zgJ1D#qQMyN$Srhi-x>c!@L;cOE)yC1l!fLB&1Z5_A~MRO**MF+!{~qW8$TAR8zx%vZCV{ z+q(3f;1FQ`f9=ImI_u=DWf{>Z<}`%4j7B2FAk{(-O}tHtX)Sv|%h`TxC?3kAI83`5 zl8AU`VDn|JRcNKGuJva#e^QIon{9P3cY%(=#Sd2KB8Ima8*!g}hmAk8hJ*44B-a$< zWy%_pcz5|N7m-zkVma&#DpDoT^=X}fxvDYovg65~f6sYO{alSRH+a6+XfDYPVo=s7 z8^5^h=&6eiRJ{zPRU)d14?8t`St-2rDXDgX;`=wLE;~{4j^@hNHaCtSj3Nck>sZ+5 zfAm@!3fwMpe_lOyxVyYBk9Y6Ql}Bq-{h`w(IaZ8xTF%*QzbwOO-I@?@F-ok(qK8gg zg}*eUf4NfHrM0@!mXc!S5=*D>_<$Kom_M`0g9bmFa6ac-^;y8* z7*0ZD4CdZ`8vC&uXL-9&M46R5!fmkW!&Y~l=6A8t7nXnZP}$*GL)z&FIx*5yIZ08LLxS%;ThuHWoOQzShiAQx zNYX>*U?L`HiTHZ|t$-2ZF5Y50|6}D#kYd`>AQ4u4i60)1cS&z+j8E=7HPfM z9V1)BZ*ksQ?6h0-YFBkslNe-}ab=3`)M=u_V&6P>YKqvkI54b1%TrmK%f z^Ro^uG-uAh_vf}`SPJPC1GEXmR^n*qv3Z`1tW7}%)}o?XJf-5(-E^9pCv)E_X>Z`j zYUi+*hN3>$SFp0rp1Tby%&6SsXTwY5af>8Y-}Nt#uvtD3V3vHWxUajBluF3Hf2ANH zUgcEY*;jYAFr~VB%8#OCcu~7>E?eyos+{;yOTQ=5wwr(KXX9ri1#jrw^22fYXO{AE zxl2*&<&=_h$hcwalpmCtF79vH`7P#J)3u;7o%gaLVy_V#}DcAGav) zkX!5c>t8WRs?S|XE1s^Y(`96^e^qhqN8}^TS@?-q%sxl+c}=(pv|w$0F*VF9aSz6; z;l#GiMFL+P%M!m$G!*IX=|aSDx}k2;pOPpR9=SLd*~q|kx%LOd_2Q%9*$EN+-b0~f zR8OaB{TSb^t8YxI8yN)Oe6rG*yrYP3p*_V|)Or>Z`L7bS=QPLr)e|oqPQKZ&m zz4sx>ghS73cRpbw4yV(LNNAXM+OhaPVWWZy&1TLNs2AI|#=pIRO0Dqba%lZ-V4;{h zE>(B0qqq88^`(-ygy~hzr;wli9lk%_)GZK=k>5Tr;6t`vyksidmF=|IZ0gCcK3{Pu zVRgYAfSyDAQC|}kbmX-Jf7Q)v=YFh7E8hRE2Ol|3zPGvLe19(IAVEey_smy~nB(d| z#T=IopVE&zX~e@&T0w#%pg(2Tq9EgbyJ>>0)cvyAM4OrGyHIJ6O zqp+TfPzmyBGWeF)wcgK>v=*lA#>2*oN0Zzh6mjljguPhDm#{faf6mNlxB*zsp$_L_ z6qh8)z*U}k@&qG7_D~<`#ui%165)Kf@=<1)u;yi26ht#1{C&z@%KLqlP~Y>k1Dmoh zjOoNT(HdbQ!xf;^zHr~6(ajcZMvevdPpf1~$!MY!?HufUNw3Pn#xA_5X_Cp8R%>07 zSBYd7T&ZOv+M=tWf3ki9)OqH_OWu~G+>%~a(d};x@!rL@E#wJn6NWj-O)rZ`he$vD zx~hQpE(R-}-t5_dw?fiXD}k%=ORM_{Hc^nP6kksca#ia^(zhKj2*elCjcVrMRm(DP zyC={qE5o+tEz|ss>dR;lA3lBvc3TR9?FhG`LK3ZWytD8SK@#g z?19n_Xb3jAQ8nW{E|h9#f;vl4c~%i@=WOiuaMj&gZ$zSpamkBV@_;APBOLdq@(`t8 zxoN`=#x{NIplpbT1BU(G)o5aYy+q@A%CfOT)T|p$R$;q)Z zujn++XhR>46~0yGdeqjRBNtt<5ZSsZSx?BxHV|m=fAEcn|C6w|`)MPK-K{Rk??ssI z)G}3eHP<_;o!7l=&!vCC?i6!nv&u;&>5Go0Tp7*hJPzFuncNZ0$Jke<2 zl?GMMfANejPwQLD-^2=f=nge_UO-hOVN*!#=7z4Un;$7h8yIU_htiMi3G!-tv3MnT zeI@_??8Ky=Cby*DK}21d(rO1(#T+<+IKaF#4&EE+hl%yz8#i(Nz)e-JYHIyCVSwxT z^%crJ%%G&jF-RCWz4=2Ukxk6lG_tcPJs!C1fAG4XM#D}jIwA~Pogjlm=3HRhd`DkP zOe8O#>VX69#>)jlL+N>rl`%aV*5UJMM08z1+PYMvFv)Ufk3UBmk#+*$&8r?0Poa-| z_xhK7ozsiip)@Rf)bna@T9k?F7ZVwK4%@ToL7In%`;KnI1{=;g9Y6><)q ze-VuoZ};*Gg*!H_?>73X@(Mj}x7O9kKb{EUu>SrkRadvCc7y#V!LeYX5Os2uWl`|_ z(;!OCg)&4q1EG*Ir?vD)JtfUzlEsdI%kcq+WawJRfA$7~B~7q*#&Jf)5~v4;0#+65ad_j@A=nH9u}v7*SaLRdMl z2`C}d%Nd$pi5I;+_pCHh&!p+!+fi_yiG@vocKIzHda-Xe3c3-O>WDOP((~eae+V&T zqxx+m4xd$7Xy}H5b~#UK)xRZw=BksCg7WfABVLcju3yU2l+uvmrsQ=8xb%_jb`P8T z)97*CVe#ldq$m`oPdkJz5MFu*o^Ix@Lzu#EepS$dBiA{12aZZHxuuRL!BZz@fow0k z*uvVb*2aFi^Oi>SoiMb{eJTvQf7>}&xYgs5WaK4qXpr^#<`Jug4TcuqMjta;ErAe= z8`p1!`#-%4^Yqo>)f_*Mx+6~ud7HuZ5mxhgq%zEdK+DHxi*=gEEP6ScCygtofr1wy zL;oq#;__63TGJBYYS3?1i@B$(%Fexp=^F!lYX1DC1WS5fr)qfP@!}|Ze`1WEcM#j9 z!Lt*~TI@-Qk=d|YB}w=QUtT3Ve-Ej9bN()A4o$rpbx$%Ha=74U+2KD)?(d4G5|IT2 z;42K&Fx5#K<=7bB`p65oNvfZ)1W$Wl&Ou5!w|X92iZjM?6%Wz{D@zLSNLIpXbObn8(J{Dq` z3bz^rY-WVTmpBvYa1uIZxb8kQe}=ATbvI&26u;h z?Li+%qaJfdP!^Y*)82h`XOzoM9&gUcHm)y^&64WmB0o|N9LyFmI}Cu_mpFDp#A4Iwm7HQsZtdH zck{}+OUzcJErH^6f90T;y~5G(=pv7odPuJAL$oiR#_@edhhZcM?@UflP)v7c-}Hyq zq!z*Z13{L4Tgip>iwqtX|GHP z7fh3Tv0BKCfu#vSLH#-DV$lp(2YCVbUL9&cNEG}r&x}&d`z|-#$xwz zc$gJQ>x16K5BlE=lgyx{&vVVvy?Qdxa8r$HgK9FjHV8}C(|0z5&glW}9M`=Eg_&B2 z8I}jLt!ci3e+EyayM(dz@$vXAtXvM5sYM5ee3;HNFg4=|c1R6f8r2(L2MpcW%IJ4aOOeO&WhgW z$R^eY=y((|pky9;a$utL$o40(=>)XaKA?AeYUYDu4L+6cs{CUJ;07hp@7X68O}ERmba_1--GC0P*wXJ)hL z{cz^}e+r4o?7i`nn+{}qeVSyPR-#;tJjxAApAHtk8!)4LHy~d&xt_T&Mu~kJ=JZd| zo)ZNH$ZH$PTFZUKKv|fdFac}IZ8SyE$5&glTg}aZn3Kp4rj>ne5`I-qTIMouuA+=w zIjZO4%=VbYoIgzr-&p<<5HT3TRK6?HdxyL+fA(N~5PygPGlrPBEr|sbKory;(oKG; z@wu3{8L(XJ{hHvzb%E$G#Rc(pQ5W1eg``TybN7pE64=6ACcKN3yW38H-GCj<)@BmT z&`4kMS4~o76!{+YOp4hG#cvaaIrDU`DCMVf(mU9tJZWABF9B2D_$l{%Pufn*RURVP ze`5cp%^jXhyt^tjoaRb6yT^Pg5G|lKp(}vyw)L@7tv7Y<`w)|iu^OP}sW$1y!5#Px z4<&tLmh3=h6~ZnbmzE}y^dqywcw)Ri%jx+QseOdX|x_=LQ0 zY3S~a1K~+>TG<8z@-Ld*mHa7-iky*WNnY>dO|}Wro>D!Jk)5;?Fx9p(xe7N7f4+Q$ zAvLHkRgZlbU`A4OG7~5`$MCtY%Dsz#bC159eit_Gi{^8;PklnnBlLhJi$)AJpp=*2 z3X8`1tWzZJ$cv|E2gZj!mJ?*Fesc8%moqw$f~O=3jshNUM>)b2LlMybA-D< z{uW~Z4Imz#jxeam|1yyEfLOsFWpaO3@JBm!7!;u5Al4|@q#4uF4;BisR? z1M!4-ctdOfzY7LvSh+&}s*DQ*2+(tI^!!V%3$ug!Sb0DIj{+A*8wk|%(ZdUB3-JIv zUJlSzRs(3dL7;ybtNmrb0r`p4PI#s=oIY$qO&12jBxc{20GZf|n4fq?_IYMpieivcu z<;JZKb#(WFD9inA@+iXiM`jO!1NcEgg1kb!0EjyP;%no;{X4v#pBsPVj}rV_{8&L? zfE&yWVE0%AB+$_g^7w}l;A!Oz0l+=HAb|n@Tk)R=0}KY(I@-Vi))0F~D8@h0AH@*6 zzwqPmJsf=j&p?md0|P+6fB!z2J<`h-26gfK$NbNHxs?@FRkiim|El=kIvE+5FCc)E zhY!HX!w&+0!C(+T@bP~T_@804tQ`MN1N4utGSm(Rc(nhM?qi?+m9qEW3}E?tJ6Hk# z8B7EANLvVi=H`o8T{NE`4JIeoy<^P?Kf|rZSA2rJ#{r{o1a&>g^ z``h4=wO;VY4N!+Y?g8|_O${M`ZLK=Q*3rxLzqQJ6tH(`{hT4BWvY8Xi#|7g1OYZ2Y z;OGmn)pCT}IQ+$#zvTMAcg@8S3ekdjI{toK9=$-I|I$4!n2qz}1LFBe%)eAto{!rG z|1-wl81lGJ|Cxt8)COkzd+~Vq1prna9#(!BkE4G?{D1)P`! zk2MDZ>|h=kzsG+p2nKK~{ucd(cmUi={~&$2 z3In(uVQ{N|1dr6>hW;D!KI+{Z9KrwSc^>t?|3Co%w?E`>|Np4h#>>Owu_1qG`q+$r z;Xkhq1mX*^!C07u*@%Wa)rPlR)kstNaBhu?p&Vsi8S#H`jux9gh4;!&TC64OzR6is ztx#C#0V|k0wQI<@U*)dMod#^y(SG#fyWpf%*s-Uzel`1WfjFHKa7jf!i`$4$V3;mL zBU0wki=agvhu48FX=~rB3&efST-!aL;=@E#t{|uq(W24TQB$6yMnWZQ@MB#E-eldc zx5a-(#+-k*?wT035pNokp^-(eD%N(5k?d2AxB6wUe+j>bx-%|B#XEHCCu1ZWUtYAI zN{$b$+F+>==Ps|zdq0aHz*><|mPA**fKG=DqhGc#wdsh=^o{||$SEhrAq8Wf47ar~ z>wAda2o*CT4bn zT!eo~evWxonx!mCXt6w?S|c_os26J*?fg9rkua?%j<`~;Ewy`q^|}=827z&K9>Oq# z2V^xx{%PVBEhC#hbcXX?ck{dlCmxicR6=7e;>}KsXEgI+2os8t&}lO@0zTQ<-B+ZV z+6&(_L*-0kg_A7t@g@d}<9xX=#5wga!wh1 zpmMQ!KeA9!$|lz1mKWeHd5L98)vVZ_VRp5Gxah-85OBJa&gMmPk)`GT3`xryc8E*ii2^CYn&^q=QzEx zxbrrEA#4Hr@f`}v`n4Sq0ZrNbMq(>{74KY9Kv`;(Vc|XKLl^j;SB{d2)=|W)lACU| zM6y5LT1(|3xiTOyUy*K{F4>KJjC+4i57|8Dr(->FBqL0xP!Y-b$?L<2w?chWg5w#L zw!OXg9S8WlIQT4g;?wJy3g82Fwk95Z^$#BdpIVU0>tAn7pIR)|$hWLf)*srPg!kcU z;iK;|3~IyOI~u$sY(VUcgEo002Qz#O!@N4|4nc^1h`jtCs_xhMcvQpR)`x$6yl~yx zTQ>CPqAaxEqH{`+enL_3d}_@5rEmrW|B3s>&~l%j!ZY`-1>C-_3?vt)2#no}tulm^ zoNcN^R;S6=rJl$VE@d^8<>@@N753jJGEv<0w%etis&fZCYqmaA1#1}Q-nUXy-k8t9 z34`Uzs0SFoo`|mX#B*@mN4$UEtCum>=I6~s4eZbsZ1dCsG!H%Jqqgd4io2z$jusc1 zdkap>H$Dpe2w*-Db(!U5pmtM@p~yy_psvw-BfOc;u!zK3A zbx5%g=WxftthVmCmsT8NbD^|4>1mT)GG)du7Ay*C)AJjermw)Fg$8d242f^p%#7Yj z-eOB$KBY%cHEE0vi$rje(iUP4gRC^e*NvJ#h3qtnEs@~NUw__DbKb@axES!{G(pNM zaCLW&@aRz{a9y5uM}U8G3tQzyY7oVt+S`~MkxVN@*;P@?J$EVJQ+s86-6`XAY5)Ev zq9(g6(6ahx=tfSB10!kHHe*(zo>DI-0kc@Qy@i62zliJRD>K^Wqu zH#$s_n6kiPR(dTBuhgF`_)KcP|>0 zD$0a!dXvP0u8!)z!``2|SHEo;?cv*pOu5P~}(CGT(!#`2|iGHg4aoFqo|H zGto0gUMyAz;zxAazkBxmdk{{@T3z$H5;AMxf$mh;?7@G*G^HO~VV@d6tW$Sjyr1eh zt7UMni{hHm{PnYF{xAEXQ}^X_}IhU$@C9%Rbo*eNpq=Cthf+PCt99BmcBm zN9uzVmrPz@`IC}(fx@tmP@cgey>QL)-d~iVe+Y%QF-=1lg(1r z876Cp{W!=xYcy{=Dp19oZhj&Whm>@Yq_f)LWiaQD_grJ7Bx5v8enruqgD%q3gBiSR(d$T3zRny{NY8ycHkY{b!xtu|2Gi$QHD|@7 zBf7}(jm`{a4C0@NL`1rnId$>5=r|MH;QEHRzsfB(-MzuQPCSmfY1~rJZc=LQ(tJGzP0Dg zIE^d#{DsvH=-%NgBvHD-PPTuB9VzFi@D=~+kD)L8X!)?+ZjH8dAA%9{IOm)e5yEeZ z*tcT3x(rG_1>OQ*FowRM)qeg607pFy!Hhp@Nl?T*hAcCTgzj?ylxe#xhLeAOO;(%c))Az|mXSx2aL6X$F?SKge3oiRj3d?LWOMTB3k4Igc_UV7aIkqd^iW<1J(cHAFyTvNU_`qMAYsA8Q>+Ri?#&I5r6gcb^JDrH*Y706BfE|s`ZOChWK z%!_^Gwn_Nx-=5V)l-*Z^iHM#e^bSdCe)i|zCc4Da9B1`ZBJ0D_9(NzC@HWd>-47*OXa2QdO2?+81}R6I}is$R`*%V@j@k(Ty7uzB<_EfM{u5r=N-Mj zp73+04{Ag8-`z;eZgdtujFA;6s;zwBiW3@lHA(qtaUUh!5XkAjbb_6@XnQ0o>if9z zuiY}foQMK~W;4Ym$9@3Y*CRcAx#ru1OWBw8LMk81f0Ql;NcSP|kze{Ju;$sMS(Utq zR0B8xMLr{QMA=G~Bfx(+=Q2^0p#!vjLiEP&&{_J2r{Bh}t{N!i#%I&6n$@*uoN!vA z9{R|fxL&5;;xB-!gdn6w~JfGx^?%F zPz~gg&CvMm^>hZX4J=0u4lnBtVG^6m5v zD4!4^8ki>Q7oh|NRT{;TJ{$|tbzbl$^b~hozAuUsmh}R51!)9#_t&#%@6h|x-Po;N ztd}(5d%lqCP;P%CpL_#gXe~)Q=EkpB7@RUG^qi5!uq8fcXu9^D%A;6OAKz$8;R+LN zNMR2`cgDi=tM=d0>>0%!{p$Szv;nreHksj67`M<`RV|4bP*Vj+g)-`Qp(-}1&@Jbx zBX?XTY-1JUl##BMoqI8V9(Ap_MclGSGX6-#wd*xdq)va~O>Gii`lG~dm`USyX)s)| z?#d4VNosdVQttNHAgJgKIS^LuUVNC&N9sAa@_I@;{bp-i%De4L9HSfE^m|g>P$AgO zWE$`zkEGQ%rzy_aHKZUBht$_u*WeMt20qoHA||=-Ucq0dsn^lckjQmojaTtjaUBBY zawEoo?I(Y}NoHZ*No-=N5Pey9sor>|-3?i;TV|+XaTvvkfrKgPEy#)ifif36x;>Ws zFwo5RF4SAcu7MR^gjeLLHo8-MyDaPZCc(l`>IFm3&Zh!FN6qxM_Ccevh1FCzQvh19 zwc})AbF(qjpws4 zaK#eZ>DMu0W19Q+1i0=Z)LBNpjJ=^{*a) z;-_3q<-SP4*iw#R{w>({#oKS~AG*XQoux{Fp30_{meR^Eo_~GPnx%i%>GEZB*HMx#Bzm>WqV3k5^0CLE#uMq9 z1iSxqvz(|RFZvl0>mpaRnmYL!#K)=Qv&0BW6S*gt-|Hft{KYWl|FbiegG^CvMD6KQ zAGEv4f-F_@S&i|R4;9wOX{@X5i96bvu(Uz`+OrM)7jFbZw>KW}hN9WVq!r8gy1;)P zuUud5K42e=JH=x&crVT}Bvg3Cz<$NP8^=)fr89uH5|nZA#a|_b_OecBaH83U-%Zo zbI*jYY&8a?c(YA~4dJxj3r;U(>&+$3U5(AhluD8Jy z)`EflOp%ogd}ekOL<1E3EHy4-Z?RBEFgoOzIL!!a5c8)*KO|}PX6gu>w55NHon`FF zz#>J9k~0Be=`VoIoK1eQ;zx|kh8YY1xWhSlM=4vrnpYjgALBl6OV++3PU2&P0i4|iO`s+8yM{}|i2bza5i z1l@|(Zin}@&TA^%NiYcDYw1fP(i<)8Wj7ArMlW&8m|u6YAScGBN#Q^l8Db}KNsp8| zSC)5*Q$bHRJ~rER&U$dnZrUQytRD1y<*SwypzO)7MFh$v6E%Ps)k=fvHvC%=sME0>iY`gN@Gt#E$aw{o&NOU3gto389+=ZG-Y8%mVbD18uImVbsc&;vgHK{kZQ< znB7m(Bpw!f@B!X0lx=M$Qep=DUs-O^n(_6g$lk_M`AXyu)7D8ZZfBwupIsg?PGp&? z@edZJ6OG<1-p(LIW7w4-ad+Vg;A>u7_@yRI#DwW>3=3yIPq=?I)0{>5Vwvjnes`e` zjK>}wm1RgA#%x=vk+reV%@SYc@~szKQ6)35C`V>)wpP^Q|MY~tQ;n|%oDo?_p#55( zz#Su=rsAAPF)KxejHcxQdnv_0nz`Um_q^=ReF{Gf%gKA|sxyrBB}p9t-(k%$&J@mg zTnjlSJxa+ff;S0(I`(m zE{k|peTiv|nV^FL`Q+a!cV!0;o z)gG12i*DgzdO&`(vz>wq#aX z*e5M{GPz*gQ`73Wo40#_<@x;0ypo#mYS}uno70F>bq8(jl)On_^|6fCa^CZ1yYbEW za~C&NlckkwDiv%^dh3M@OZ2Cc4qquF=8hc=E%<*42VbXAkXfmY=#^JcoHEWaL?J{q zaiQ!T0z&#SeqtIUTcNmq5AGI6dNpQuVz|!GLqeFi3-5Dc@^^_)UNw>;hi8ZMersH< zPkliVQp0w0bl8f-EMe)<#cf1GorU+wfaL($6IOv7p%~t!Q-Tn2-0^en_s zuHNO+j zFu87L+!N0S3HIp$5}F>l`Fo+I8~$&BX)bH=2cfzgQb&cRT%8w2`76u)dm_7Iq6E=d z^&^-ofeh&W8KSn5;yb$@Ml!hBg?(CHc{Wbg-^BYi7eg2mGO^@2Y+|!`UIp}3?tg#b z+-?Aqb4(7ybM#T1-tqEz9#n^8f>(pVUmaYv-!EPr^R@Su$LjX@s=etL$5)F}j?zx= zSHI7C>JZ-dp77mFc~XWExn52rFAHxKta2_g7Bo)5_~bKT2}#T%zVQcU@r=SG z`-V5<#C35ST#|AV)z&oGzhtWN8|Hsr3%z%_r#>iTng-Dwy(M{VkFD=*RT#xR*}8*p z-5USgIm6(XJTQ&`=SpianV<0b25E4w#+pc$S*W4Iv^QNP40qPDNQLnDOGj5G%ahsC zah;}bBe|Tp-oS9=TMOKRIba~-vv;$)cMV^a6ozijts_#c{AN>Jztzn~0Z@O~NYC8J z(PFp1Q_011b;27O_I^-XZA00-3y=rQ*4b zkA>GhVQ!4A)FZL;GY<}sA{9=YFZJ%Jb!Gq2fIR;LxwaZ7OqW zA2!Ap-YZ-1kxNL>7LXgs=|*Cxz1#_7%aK^kf8dO&2|t>l>B zo|^Fa1TZ@X!#ia|%Vv>s1tztJ@QGC=|{ZtkrE=Xznr9ZCa+=0GoF}RN}5~pDyRm94SK4!c767HmL=DrAYr)BfE->J12~~jou2RLltqh`+k}ICK)6=Me^!E(V7+g zC4~Zw!~m@3)Bb<9_0WA8c}#1w-KT6k_4jHXaI(tP)-_RfxwXEC4!w)?Zd?0{(Ja)+ z>80rz!dU6-?SoJfqNsz|YXeHdlHeSv<&by9&+I<1ZP2+Bm<4Vxsv>Zd;ZqPveWoo> zy?hlRbNDi2d&97o=hV2Vg=8=A{F#!4gzQwDji7PLkeq*yvH#8F$}zr|b>6Wuj<&Pm zknB3fa?8CwuX=i^_f*Nn!HgvLhg0OHq|F6*!^&Z-*g&?VKU0Ox)vxNH8856Mf_;VD zyS{bXZxSXw{hHCwU2sr++tv`7Giwx*U4v)Qo(GDN+#3(KqzsjO-3U&&)rE+{rgT?l zc1l871&4nIMtqf6d(TphUCUcvkDKk9jFjfurZL?xM#1V&^nP4DY#zrrKcOItUbe$J z*bFtUJqh;WyQm&o*3wmQ8`)C)#(Xy?*lhmv=Dv}Od()$Gpyapq}or5jNU#? zzZwUuN|U8vNTFL4G%2qkyGY100ImV(NvE@sK~o>69K|d^Zx~giPCO8k*P7YWT$C8e1xO zEX99u%C0XsT+QUQdx&mfR=_UJuV>)5pQR!<|Jkx=_E*#kM2$)h5^pA~Z=4n|FZ#C9d};N`@VR}#mi zUSW-T*>*0Lc&(tXz8j%oj>Da`{+<_+(fIa8KBGCbt|Ku{1Ud2zje3`BH6GJT3>ANq zjjqna;Q2-L+rwgM6`npis&cblRd!&_YnOOG68p0aE)9fc@}TEI?X?Wgi&})3-??{& zFH4hk`^z3$$@TeWySEF#htc8yysIy-^mJK%-kweNjtR0Z5JY6gH>EhV`mr&*s?@!}aDCBI_G-8$-Xx7X}_}P5QvUl%i8cjnq5$JlarpV)>DnRP#4qI4HG26 z6GOhPulH5IEJz_KUpp-*DUIt|{<0P9y!TNz0!#ig(_j^DU9)ww4wT76Te+!!CS>eE z5sPKpr>lwhMZ*c?I!BRl>-yT4wOj6@x9hFMW$#Mz*jR$%?E_TvMmaAgg_D30K6+Dc z@j@d@sBod9S_+d|Cix&HowTKW6p@*DA}`om^u1(w^+{wULL`DlIt5~H-TMw_)`^dz z0;sZy+umusBO8i7>H{|x`k73BDUn}_!jlyljgDI_Xs8M7#cf76_$TH)!)}9DZ{u7y zex#yQEb3Ed=zZF7R~J(#{?44xbU~v6G>hmKyr{Sk2@1vU$Q)k|zj#vF=1OCvLFMkM|&Kb6&Idt)!-t1dBr_c_K2DSJx0 z{}b#DVdsl@O;hDXM@sFXS4dQcs*8B~rqP@mZpRJbNt2;F(Cxa3m9b_Ies1(s{KBXx=iPDKxw~@Sd;;H;ZBXgY4Nm3diRayFYQ(DO}rsJD?D=Q!v zo9&rVicvr2cC1Q;%Ye>*;_(Q|7Ive~cgMKZ%D6kX;}fw+Y;V?pGt(mG`9NGW(vS%) zl?8om4gz7GlDsS;aB&lR7afP@SO8AE@31lbIEYq8+cT00r`Fk>HVyW{!=`pF=W0SK zo|BM!Cp2s*@`m{7xWqP2oTZ*Uc%TA|m0!Jgyb*mSdmsmY{dxp{i_< zynF?kIMNDMf<*C{fhj4rLt{}+xXgZ8`qFxp?$evPp%#^fi}$J#SSIToI&`vzlh$HV-B{}lf>ff+|+cEl@ zA7I>lEI@}#*48GXqZDxLdB{<0}dA-CawzR3?$?m5m z<{vDO$a)GX|6$tjk>CJVsCGn#$6!9ao9x~`j!+n%W2n=~M>N5jh_6AfbGc`csJH8Q zScEQ>(z%5=7Z%hd!JLLx((bM+BbN^=_|9kzZVJuh7N3;xOla$*I23|V%7|SQ{}2A` zxRVNHZe(+p>5&0C3`s{zOHoxTLrqOdIG4d00vDG7Q2~YpFM4HkVV6#m0W%UXF)<1+ zOl59obZ9alF*PtUHJ9h5>Qh!j=mgiP&>f#P-` zXF4W&Ms9$JoH7$5fRT}fo{^Cmo{UV@(%A<1A2B?cI?&O{(hkJ^FM^08(8&2+CTiq= z{LYiJ0|BI6YyeCw048>BCJt^!MgTJ-BiH{B?HsuQqDHQkrT{s5fV3S5=mbwDVrTE+ zXlZWY{C>>;JOU_9r~ph{TpYB2nFEAufsU3YMj(Kkk+TKR_WeW?BO8E{+6rQnK`=|IRXLi0vk&cAjs+6!UbdsbOgK~4p5Pj1t{19L4T8F|0d7^{!<$O z6Ft*^-TlYwm^`x z6a1g}L@gbGChukUVEFrHtwDBfAg})bGfR-E*`Fj#UF;duK$Z?JKq=AxP~JuG|H#aN z&Hy$>Mn(=U768xz0CYF8VEE&IUe&`M_?MFDkN7+8;^hJf88&Gy0W;Mj2zA18UI%&ENtfv@S{xliK`-9K_ zcB5!y`JXWUWh(_TvjcGb9qoIW{wHGB|1<#Qe};n!@V|Y@+r4)!5J34)lj}0FF`B%8 zG5vpT^}kI1|8@8uFaK{%{(l1!cd@bgOHKKg{{Kg9WNT^T@gKr_)4Djn4}hHA`xt=! zFI5Bh_t44#O)Xt)|F2em%Gv0B5QISHHvcW7rIWa&JJ3|o(%Hn~?{4{9uJ&ijY%D=Q zMLQ?UKWha*_kK11NB2HjCf4t(!|A;x|55?pC+B}3DF!mJGyOAS%xvrcBS%Lg5BT>> zen)HoFQ)fdGzGf<)x-b>dXSy-y9wYuJs*IXog@688|7dDFi8D>5&ezW0SvPLMV#+C zm46T`fI;;i^v+cOFXG|=Fc|%VH~|dC{~#^^gUNpp>${ityD0NXo%^02pf--`b*-es2mg6}^59q)SqZ2y7pv℞+xKO_VE2#rckcVU z;$Q0bcS|2|=M|0?dEYB>BCvb>+>;9~dQ z?f=V=iRnG#e^rR-Jw2y?D)?^X1hlm@v9q!JcOLJj{o~?)eb5=4EgXUW&g8vET>b^$ zi{$#RTYS&c^Dp?n+S|m%@jWl+zZTGY@Ba_}>vaMIx&uw%f6v*O@B~@a2esYT3Vn8? z+Zp4VCfm_SrK0ot?bz<}_z~tSRZV8Vn&Yj|*TJq&%UfcUH-d|VFJ4DK8el?O5|vt? zyq^u?l_z(9THzNaF#E;}kA%MU;=|$5sS56Tzc_fS`&&c&0RJUTmh0fc`B5<+?cS|N z!u?xs`O-+p+>X+24Z94&bNLiqv|5y|f5{A4o^jSJHZim_9X>2I>bX1e%+2jIYR>o@ zp>#YAyw7noOOcoMI&;j!tmjIlDzj4u4k?Z{Ha^6E4eH1wxtH*MvNYDbS8365--7!O z-Xg*rB-)f^x=-}`%o#P7%8{U^?mE|z-#?kQbH4(DC_eY0Z70^1HK7|g5-VWTv>HUB zIoGjR1M&BNnhCG8-Kuw*S*74Da!q}E1I!?4SseK_cX~ZFIIIi~_0iphq_o@*HVtic z`e>AY2=ofznY%Gji&^MIEH80q;HN;9JCAuT^h|9ED z$jGS83Dpfgf_KW6>wOX9Q`LAb|8so?W!}aORWI-@kX`=G_*csLc_EGkijUbM`EP&Q$IlWpOmpR|ZoN}_vbzIrf1H^9T{fvbT2 zRJ}^AHIA)7iD>&cl5TXr(SJZVFt~^7)^vaKwxU8accbpF~e_~{Fv+8749j)5Hmlm#E@m~Eoqp4=k!vZ>N7VeM%K@UTUtLD_vAgt5(h)lRzgtLQhp z!4-VE9a`X|YoY>SYKL$WyU*-jbEe!S@{~aR6`#{1aJDUL$mWu=iRLHaWtqXS>U6Tx zQLeX&e5r_{%z`xoU`_T>B4NR{cxNfl2kK*!FO<;~S;X>)g6O#GP$*E=UnhirK1w6k z&_n(1sTYwR1Cw?x2P5zH;((50uY)J?SD)yf=s234lbrpWcooS|HuO<^-rS8?oGmHV z?LsAt)Vt=*-%g2lY;P_reiipI#<8R`ZO}w`&rK%eaPLaVaPLAeW=XSUD2w>czf>oiwL=-wpWSnBy>im`==s!*>Uf zl%+bQB}2a~gMBzi)k%vbF(l(<6eglAERo#~Pk`^SMENm7h9ab!S%Gm{J*ApmN|BV* z=IP+EvY9RsYh9-U`)CF@Iv9E1j|+<BT;myfCq06bM(bktMXr*$2itSi zB_S<0bcUTey_LEcskaM%sbcbt>(^N6nm|v1OcJIE754D>-G=VDd5&`xxj@-g%y`fB z69`)M$gMqbw~aK{R9;u4IiqlFQQ>xOT(C%k*`08o(}76VbgFvmv)$2`Z6KeC>xUz39vZX2r`%zAd^-D`ko64mdc^Tc&bZt$xgy(%J*C96F z07b$!<;Y8$)U$>BW5b-+wgM{PV=5DbtgFeaEe4cjV{r%h0I}Thp>2;~lg4aF6?S2j z?Xoc$PN$W^dp#_yu`Ic2D6*)ESq*RMKR_)ZUS{7DivW_hF#ur%u_bBa*=GI zg0;IW8=h*f;SK~!l9mNcD3CaG0x@hPSSnZ$r?sHk17`Bwt>d^2VFSV0AUrlUNDEHLp4!ldsk9t0$5 zTPDbIa`O`sz1lA;IuN#%Z!MnVQR2SPaHuxr4;92+()`sx$OU!bSPfx3pFMS|ILKv{ zfh9{E+PpLW)si!1RLo|~qV`tt=zfUucEv3E{dQT%Nk8{{$YN{*oiR=IFchr*t81m) z8YET4w;R`gz}yFT;1F$s{p%ubprfxv;$w573+6>!P?RB!jTbKL9Z>0RF3v#E42zuw zS8`3!$aT^aM{N|tpf+a|y-&M>iGaF%yFVJWCRUE7-`L(SgvV>8d<4$FN{Iz?UtOJN zA+K#TZ2BV-YPABrLiV~PZ5tu1yE^qUMs3B0z$ZzV%7I zlW9x_=%Z(RCoD`=!CoQv9G+~pCyrhW%6YjXLPSx1d7!Jj=+8(w2@Wn&DOt-`@B3LWLM1A?zX7kVN0rDVu!qy~ca3o%sfe-(z4J zixWG6it#_4rf3se@Ejop%HOaRVhg{Sg=KwNAKJkgQ*6@*^mG$Mj8+Z8-C9QL|} zZtgg!TALE^`YUW=)uYS%i5RGOIR?u=k|i4NHqHwraA?n%njh6YA}hrkDt!$r>p_YUv1-~8{O4^ zJ#HEoQ6{s9^+-IwV5gMWyIyu8W#Na!r`;~}meM;4bA^*)fSR>LszjI`dz{Nn1xfBo zIl(5Z2#eXzNcVyY=A-K6eq&Dcx^ zxh${!FG$p8WE(U@?;l?>8aVeK=?8m~ztfnF^?Q1hx&{(%7}N`URu6^dgj_QVxX!e} zLVq~CYP*>a?bZZ0Dj?#2#F;I$g->1z#Wr{QO#}lEd(W{W4yPsPp`!QYA~@$mTGfM% zo$%a2Wg;A5a+WI*z0NX_?rXkxp2E*}bAWtDj_WE{69ZjK*^V&yobe z9Qr3MG-4LvYqsB4&%5^~W{^9tmBn4pCRb7exwd<{gnkwQgBH_Th1~erxAcj@sxWxH_jewV z&#Gb4>5(Y82A7BZlI9OmXvwvbJ>(H*sluu@INyO;`rlf37lI2Qj0(r(PX^b= zpk@CqSfrl{&s)wy@=$cLNTB4%6agrMRZM+@;3aePgvKw~n0>K4(S`)I6DOrI!lA3@ z?7*Jyoy&wZ@y+o3N&7axlQzZzGpo&7F{xbMDxI?;7}my|G44ac7~L$ zvl2W+cdz&sC`QRBF~l?0g0ZCJ@FAwGKgn8^;>UURC!TEHIET-mg>4sqXB$}&rbNvi z0NW^T3cN%7e2>Fak-xxp>14UZp`foelo!*D zq_6}nz(J*d9R^!_c{UjiaE%vWgf~_9(!#1ygk*Bny7rIh8djHRHJ@L-J$v2PrO@bV zfJvg^WUa5qhhPsxGvHFNGg>>P(>XXYWcwyXVl~aj1Wy@!!oNqP^gjEkKr`I|NUo+^ zP%J)<=qQEAT9j+i?F4*LaeVbKVgtx2YDtvMPVf+aa6v}n=|PrFVrhY4Mg|MA`6aBZ zO;X~*-)F}2BV=_4HVukOT7~9++H%5h#0YR-PKMv5@8Vyan5(JD8@EoWUbN}qAy2L$ z;oVzIue}7uQJGC{i+g4mHuX0NgeBx?AdX z?Y(Tih4ZH0aqTLE8$g5P>FT-$jem{^6K1($AA z+2BWqo+jjL5)pD>W2XV$AV+x_3+)KjR6??3I6nc>^0HboWbwB7;EG>u*g_#?ll$Vk zUPrXk@SJxut=Khm?3I)cEmo6y#y4hfw6BlgzhH5sU=3lI)pVM%Wq<#OSjFk$u}tcJ zc$vI%_0HiW zWM_t`8HCsM=#kBH_;uFsI;JX6n8A}MzmGjM&8}IwIhO?~{$pt`xSrsd+=JnNg8tMG z37K0SwhHJ%xBjD6$ZaV{hcls47BiuMH7yiNmrB2`mF@1!_Q|v3DO4@TPY3v-H@Doe z(Tk=8Fv>*`D}Y2HXB5OEy7D+$bgIo3qw>PR7K_bsE}fYYmp53IJ!~$S1e_q09#xq# zBTdq6H}k>7?+SrBn;+aGKRfh)2NrlhN>L`iwOM^)lPxKi>M&{a@wOo7AdUAF-9%Fx z?}~G4)rzKRf2q{w9y{CX887V3Wcqd4Xyf}E*zvg^+|cD-@B^+lWaTj-#@uq)enWbn z{v!M5Q-*Ah$tOdj^E}kz0i+0>nz4vahEqRB#Ig&z+;BUgj*SRDBj$O3?pj{T8Ub4I9 z=C^OG0-DTvU2&|XlIf%Q8S|Iv`kfOFvOv4~%v80Lt1pOmMF|NL9Q?;reT7$PlAyTk z4=trtLL9^gUZNq&ybR3FFLJ&8*AGrR#ePrLTvD3X31$UlnUfHIn{VSUPc&%1i#5fL zOOihg&>wCPbxd>qjdr>LM!N zO|pF64k^29y$Y_X7D_nD5_Yw0${Xug$?2Xz2G}^o?eSgrgReN2sk(&h94*ZrrV~b` z#B1TYK0|YvLqj)zzEL8WJqXqmGhBFh~RH9aF|Uv5E=--?P?!@_V| zt}TrJZ9aeS?aKym{X|_izWWWAj7>g zIuJrF+dGm%Goi6RG)O`aS#9nUyA*;hVOr4M@-6>=Gxwmn!PAF9{@G$KYAHq^%;`p5 zVy^`Z*fSQjMbEyAL6>duOf!g)--W?9ifg4qRAO;qoX7#sYDJlkZdBFh=4cVa7!EVs z>!wyDML%kmF~Tfh9QqN8GTWT&km!C0Ccw);NN~h%5m$LDO@w~fEq~krXkU6dc?Sph z6!ge{&Nir^MHF%SnU&Alwv}`Vv7E)uovR=)_weDw&*^+KZCXftmd?~&{)S0Vg?EW* za=eJ`_xynD4L$7q(~4=bFGFb0@ihXYx?{5X6=y`+wTo7U&>I}?vLSfKl^w;%(Q2V`35viT%%0_c zN33rXQzK$$%nK8eiX5F-H3TPG+Zuy(_2Pr5Vsi2Gdg%kg;hQ<6s9<^*%w)VuKXy02 z>_S-RZxC!9j2zec7W9)W_IsHY+q+E$;e%N|S{@SG!E!k!j;eWqJcoVQRrId-6b-gc zF#W?DRRL{Es`g4n^2$0T5qAo9g)bU^3hd?drhOY#xPnA`^C|m6`nc6tdol>s%OXuY zWX{VYbHS|)P`fHL%^ICZI?ZT#0Hh;C>oG}T660w`c)~9d4+vsBG35jUX^`?MQ{rtH z9oO5YcJ~h!y`l>q;37?uEJ~ow9rzKyZQ7BK7CM+BcL*#k6K2~SeO7R;fmB;%w##7@8hBiP2UyP|% z0ty?{CV)Qb47l>`U#o_H?;IUDec0Vxue6*w652m9oG{AW9XdKEj5n#I86D z2%3$FPa0v6d=1^C(wT7%bC@lV;(#x>Rd3MI)4{(RmxN!-&WikhS#bQwKVw7JqT7hw zmqS9Gige{3P~YhH`V%q@{oXk94OkeuIPFpmQ=~Fd>Of*TRnc*+mp{-Sv!!BJv*i7> zl8`3>0Fp4rQ>Ba+T(;w9*dtQjf|})1P6T$btL&RLR_z75vouyH5zb;#OQ3-Lu6yM} z-HD-*0@6$#LAYsuBKmymEg3Tfu+!(svN5kwel^Vl<~4Mdmm@MjvNxU+@((4^mMN%M zl=xU?uvmdHR^!`xrBfrsntp>%p4JFI^oV#`}`g%PY_mB&m0S;>A$4rN#k&GG~}#YSpqar0)3v8b3vi zej#aayxw@MB(Cm}AH3GqyUp{k1Xiq|MNpzv>eJLN^om{GtGe`l-Xu!_Vxe~yzA(@* ze&sqQ6g^I*aL|hmp7nZ;DgK#0@Mzfy7F*)`c){;WGyRAFMeA2pZ6S}rwIh|Xj0LxM zp#m!V>hZIGkcmggAyUd5OU-juh~cPps}`bX(7J7=@_FB-txWABU?tR9$OLB|u+^Wv zv<~YI7R=e7#<^`Zdg))#Q6FhZo01_$wl4%U?r*c5FVc>F_FmwOWM{=&{meGGHn|mNirV)SuN50e zmwU!wydnyDVVilS=-fM9|1A3ea0KcPi)7Zc(4s9W9wM?#sbk^TIshhv*wh8YR)=yG zJO{> zGK&dHDOkZruHX)2M%!vv9&KwsW}mFCGb%PPL5wyfxmpSSpWD{K5~P%)FiwgBef zFR^^!nH%M=ul{|pSp-?bJ^G0>*@~OmkUcY062>Z?L93ACr*_8Gl}rH!BZn17Ii#R; z+ltH2n_`E`d==z~X&@@`$=$VKw2!=DU|G34aw1xz61iZ8kd_n^ZqVa#DmMCmbT(?e z+lV5U=+GNX;Bj)}j>kus(43}mrA2Ox;`=;r*KB3oDQ)Q1^H?T7Ea1X4Gy!=GT#@n8 zy0VC>ccXnAj$MzGq1QWXKJa4qXtnUG>WgEG%E|5M4ibYu)5sUg*JDN)_{9^+!}y-~ ze+U)rp=ZG|Jw!tX^aBCW;tOPd0tHqOo^IKN*G~)PKb!p?l>)vC4%&cs7WyBEy@WqT zY?}xySu4~d7>y|tZ4d+|G;i*3g*^R`fwgg$5QJJ+0m3wCJ}*~6q5!BF@99WFx1I7Ha`Sya&PfsJwLjnC%t$M>L)&19DCIG#O}`w2^9z+bihJ@ z3c`mLI*>Jm^IBTppyYHh14~>}mFL7st_|_cJ=K`d38M-Erb2SYWAnL22XRkJCU6@+ zYP6##emf&=DBro7bFM0X=NjzhUvoZfVjIOv%{}Ah)F-XYh3#JX<_>Fxv~5-$@&3Qa zO`~l3grc1pR*h3_yK;Jqs6WC6Nn~H!(7mdUoCi&KbP+it zuoV2Jg9~3sM=@X)@BlP|-+l+5j@w*LZz}6ff9}8Q(bRVj3E4YLO!U_5WEDv5$>>x! zHkyL`c3vX*Al-I}S1SZA7-V9(X?zPo^Vczdq0IT}#lAvEwD}G**at6T z1IRD@!_|!nQ`Nx{pVRy}bmWOe#6N#`iKqp!oCztJg&+bx}>j z;fapr@>CdWZsg?Y&|KWIgIZ9i?8^h?&ub@W4v>9Xw>??RAbxv-&Q5JHaCsbhBB-dC zi9KYizrrMckn3#b{DdCvVW3HvHAm%7-CXSu`e9INVs?$|=jNLPe-iz*BU0(e_FhI@6_KDrfu2 zcPq%Yy2)@VL2j?s_Gnr#G4F&Kf1Yu7z<9le0=F#O4Q$ zywyaX&+@{_dYXN{9115`quo`&~4kK)8PQGY|4x9MeKVk;%1^$wR zQ3XNM$-|;GYs4AfU=^k=8pbM&9{_uUST;gMQD7Jfwpilix5rR0tA$S0e3*^~&F3CR zbtk(zdA=jTJ?I367eB$mg^}oU(>h#RCL&V}H7`xeTXnjVp)5`EK^vnmd`{iBQTIiE zb$xh1PsLP)=g3)=wtJ~C-S;=YT#f1pD8&JJjZfNsmVDi%WE|{>sOPW!7lUs@kKaub8lVk+p$Be7Piv9a2Zc4*klTSv`SXz zwEoP1&70giQtwKT;EVsJ{r<0;PlB{DgNu4OfjB%c*iI0&Ys|P$QADh{XJ68u$X#qy zf4;LM!zps7!$!$73&qR$*Ai)#VG(Iw^T8)vW0-)P7Hrq*QImNK6|fNw|u8+#Uq` z)p7>nmRc6$43v@y{6*!7Wny1%Gx0MB3bC;6xUG8_{yIB=K>l zvsF)@B4r4PiyUWDc{%uC$;6%OaoxBs&1<`0b7?M}u6wBg{R&Q!hDuIj251JNwgKoo zIW4cE#y*BCNHbjQ7_MvU)D*Uqhv;nBJf1o+I)&ZKv|m7s`Ev*}rqa~A>|(+vLROJ- zem`LDA}hnyy&`L&TZq_y4tky-08{8(@LmWBn!LtkKdK=nI7XwL_2%}%oqp+mE4*#4 z!0h#MD-tAU=gE24`M?*BL2l4&WNKUN?U`$X_MWur>?>tcwE-=CfLLfO$iV0J(?v`z=E2dUJ8UAEy6cPk~!t{r2^PMsQFDZ(E zTK}2va5~>8DGD!GoKs1T1}8VXq;vwI3Co@pn{k3iy_q3KPWvg`Zl63jzgPUG%rq-< z_>-;*>00!{?@Qrs-z{EE;~#bBZBH_9BP*J^fdx}Ak3uF9oAOI^S4w&)8^&~z8!%;2 zbgDagVMyQUxi{;7rns?28hMxzmYNz6N5xg`DoOHX*NoJ?Df~C-8K)Yshc@ko=dI86 zbFAcVLYTI`%_AE0yH7@LEKx6NqTPXfW&P#uv<9QStu^}2?pg}fwOFm5R%4G#(@1|# zf7Dy7`H3@4>YNXS98^;}YXqHPt)JhXEtei&o0X}(5m8}(!kqTHrr>0*5W zZ3h!_klvzBIxHCh1I*p-bv+_Wvq;~%dLA?;Yp9$Ttkmy8|LLvdegSnn()LNtLx{#g zNPPxD6hQ{V!L~Aq!Y$GJk-^11L^iGQhAAb>VW$g`^@LZf(X%9?e6MGq$sRtbS<~!C z;9>sv?>6Co)Kdv*48loJ(wG z%ys>?J7ZY+a;FyeC%&I9wsRatuq}F2EqgqiayijI7kUe3GU8@SQ4c$(@leIxGt z;vzXL!D8|08u;5B1eq9dw~Y9_XcmW^KmMwqx~5hyVL7yB^ApK0Io2Xil?DbXH}n(((gq4JZi{UhIl7u-`NmGPAZ+t< zf>|=GR5x{q;u})WbBgjAtD9!g9Wc{`sR^OyDCn9Ilnd%#LWvkSM#fPQbepPjT;xc( zQgrT1sdH2itn5xF!O_u#Mp6fLE_>5yfXat|!|l;aH()ZvVl$a0#Ra9(jbo!lPGzcUxX58QCEI%`GZ$Q9*VLJlS%vM7XsCo8U=8 z$apj5{z`@xDWeebf(pRUkjwUcFbk7lilv`Q7OMPOfl@lCGdr|yk9YM&M6O+J>@z2u zHO=R&(Jt;O1RM-)s!Rp#iM2quAXjpXlm{GvnJ)()XCdojjpxnaS<}@nTRJy?vxHWN zi$M!{#lP(MZcXCxNu&2J3PRVcsXkQWCT2>U93f=I>DwJB$%*hCbSD+6eFH0?1bK>}?dO-fww-SAL6zKeMHxWvMq&w{T|IE@P6N=ZZh&ivn@P`nE*T?jZM6C_N4g!m!4#e z88;&-+gdx*@b!v=b#@aaKHH8;e(^GGw{VT$Q1g*>1MWOkfzQ&$`l;En^IeF~b(ZVE zykk5v6w1g42MKN!MC}?hYKmsK!TeJpd(yYilIU6$Ae!88^Ot=d)copyvzxeJxNZDP zJeAtE6?3o7NlHJ0H0q%*Z*_20WOzBMBZ>zD%`!3#2^1VKev_RRGmzA?;>CW$!MzBZ z8DGWkq>y#*Em>ZnD*7(K_JVVe1pazGv3Mic*2&1JhG;um!6j zutQ>yH~8$SLL@lYi2tiK#48EBHJ$( z()ot^v&xCn%Mx(D)PZN$QH+;QIF+HnYG`kZ(>??^CU>l>VK+Fz$$4y>SiV|S=kKpE z$a8!S7dB_&jru!(Gd>Ti8ba5SAO=cl`SFt0>tUi~aA(7(pzyBT5c&myl+S^Q{Jo<+VJJURdM+hlny6BfqmzRq zCH6`|s@u7KO$rFiPTWN!kH;ZRS%r<)#&a(Mg`eSU;|t_}bviP}d)iZJVSr%G2)I7P zIN%bGR_7#q1mcZsh)FnFH^({>2M`>8Xt_UWsSmG|9y4HZY`*pum%AVyOZ$G%t1k;f z9t|5q<%3Q1D3_=>h|gaA%PqrhN)$P9Q3wr<|K*>hAB0-_zKq)Xm|a!ay2M`ob+h0x{nerozvH zPUfQvszav2#8d?@P(Yw8S%5fPl&=dN3I`z(KblBgt8F4s1{NPCYgEOmy+r96P8_m| zUq502TMItKDbZA5=p*?KWK18KmpP^j=Y4v*bJZ7r)dcrnQ&0FYt(O$r^f|GR;+J)6 zx9kNb+!&7|0fM`_FdO^NCCLx1&^p}B5@|K0LxT6;NU5n_t&cqCJ01UDPO2t#r-(FvF&k!Xad7x&Ru+i;s>grAW?DoqSHzVe=Vp%Xo=} z)ql)?4>DvU8U%5uqneqPZR?xVc8c$Y-8`0B8oWL6ZeW(Edx zk((rF88u`}!uV8wZavb^*+$!=w-E7jS%cB6RP)ch%yv+~y48)G6hQ&n&SUkSvRbc@f=D}T@wZ1-E~4onA) ztWA^7)nhTLLf{;?jrP1<27DqKp_LjddC-?xy6DgB`>BfxrEcH^hGxsNgCV*bfXAv* zf8*e4MRx8c0aN_YPm1immDZ1@^6}+=tk1Z3Q=y9igr}dXJmCSy=JO(HRQ;9wWt^!6-2fHwix(1I{wBow03@~yw-;+2!!)cG$FbM%`{V0u`|q0pR<;pC zeA3rR$x-FdFvR6Z;-(WAqwGxr0nv%;Ik37?9t>&@G~qmtM;2&p78v9>@Nz*E|Pf55FZ z2)FQbBpfXad9iUN-=$th!`@(ZGVsBP4ZfgaAq$Z^G1e^X{>rEM>kB@H%BrS{uPnr7 zffDK>KX+n4Zg75r^kZ%~3_LB;izx&v;_Md!iUQ4#DH5UN{ec-qp6u<&*j#fq;9Ru1 z`rYvG`&#qfA85)}_62BvzeUJZ@N3~P*fR6m(ABpJ*NV_R7Ud%0^gV`tweWE?qdM=b z^?DqNBd$J`7OrD%>S2}lskm4m8)w;N|I)4t^d&8Y7oi%XGC+tC7ApJt{c9lF`7h(0 zKKISs*9XGF2L0-jH6KpX)FCkz8TO~wZ!X3AdfWvTX3ArSLoL>S&5kwnHlG9h9Eyfv^W)4ja-^CNcGqNoD7%f(9i9j()nR&w!78kFS*y8W)$iV;Hl`L zTfdP^Pq-K~_)5iuEpkPJGTn(758`9R;H^>`*ZZ5TmD9s%<+V)1gY0iL74%AV4EUv%~aTHoQ zbA#MADNg`dyO|%N4)jxbYgVp-AI&~{+wYRFSOjaQV@gR2_z%uDR&RQiB{^1AH5CpDlZp3-i>b-)RMqeo&77(Zd>A;fp?WhHhoY2dEJtlco zZmn#S8+s@b zW%osbs*R6v$FznOSsMj2$k@8!&`bR+;60*Vxjy&_{>~%xl%(~(V7^rr+vUmH%aA{>Ye3|`1r6BBm!^g?00ve;L)EPgLzsgfsin8!x zYb2A*jM_0Ps)mM$x{b(G@+e^R0A@g$zwcPRG_kKfue_27!s-&Q;-DahyLjkY$wGxF87;s@iBMo$iNKte!3QQD5Qh0Ih`T!-@ExC zf29Gw)T-;L;ID5|bM1^@Of(S~!B!2?478^;7um~%<{=nFmntM=p^b@sQGclI(&Rig z0Xaf~o3&HPhmlyNiv&ZwQ6tj}Kpki9W&KamBDvN9`pfe@JxJ2(6pn zEd3R3pV`{03<(!<>d89=lRbcyfl4GGcq%(L@ogW9G5N89&X|n1Sdf!)gvgg$HyS&?2Ca7cl>%3EjB-@0~Lq2BN8 zvgDb)u(mAQ_Q+qZppEYluIw@6@&W5q9_CU#KDxX4XzZS3CY(nMd&sb&k%c1cUD2tW zhDK>-dhvk6Vf*-dV;xkE&+e;se_pcWAUGj;u&3^r88jp})*-?wiw$Vrpxa!54ho;D zL&KPKeZ#Kz2|K3Qcb5@dXWZzKwZG&;7P+N+Uc9Q_^3JTp=~V7RpWR24_=7Hpl+kS$ zT$wC*9KSbnCP^}E@AGw`jZo?O>u=Gw*LK0`^W{ShC5%r;VUGp$#^9{2fBjA!!1;6w z8S>B_aqg)4xxDhS=!;L)HghiXHxHOVvQ$s~Nl{I&t6yDUB2*4GXb9lW4*t7Yy^bLX zl3PcTYDIPRa_}-_;~tjQ)jCC10DqPZ^eqytyM0zy=_vu*RmzU3M%!=T_0eAfz*yKi zbi`{$=fax|%voMp`zbzBevQC|nu#LM2vL1KewpSoX=*Xyi+b6l*j}@q0HI=Y8h&3b{e_OLP|K187v(Zzp zfc&YEUqJ&|ka*p~+@s3D>fEX`N+%e*>Lns_msnI+&I5&*bMK+`^KV@3`^^-sZT4nM zM=qXNC1Rh@4hdz%bAuno!UHHT>ZZk&3}r9!ZNX>&DJZ@otQVb(#+rFm5PZ-)uKzfj6e{MYvA?0=3g)LOl)D2IUUp-%V5G}cb-=+_lE$AKrkUn6@$g9^y zJhEwu`s(e!hPLU&WHpKFoEnWblo)28L?-zkM0JAD(tF=r={pPs1@lh_!dysFrSd{U zakU(Fc57B}{p8G~AJ7QbT?v^;ze4Q#B-|97VCIe9r7z{x3^-LLePjH80EmFjahKQB z0Y3^>QbtuvO)Eo9Qj?+47?(wo0eF|gk^z^OlGXtx6EZS5H3~0GWo~D5Xfhx%H8VCd zm+`*>6$CanF*uU}Unqa}1yCI5)&+{;P6)4rW$X zb|fk)b&#_S@ZVx2DovoH69{a_{|^IkN1(Cun@qyk`OQuNYzKdkb+G}kaRAu3`Pq2* zSy=(>tgL+hF$6pE10;-HL1q92W`Hc%4(NnLB@VXta0FRcI=_Ya&qn~QDII`~kB^7( zZ+C#GEzl8UYHSBkFm|>C+P+0JHMRk$flWa`XOI7(pcSxmcDCndVR3VFV>Y&RVg@@} z2+=VD+(6Ej09AjW6VTBWXa@MJV1S~rE%0BJF(Xj{)Ga|y|B|bL&7Iwh9f5#1fepwM zXy^3i;bLb7bOgKw2dK%&1C;E6cK?{E0AR8b+NlKpC+1;5DU~Fghm!YwZ6Zp;F*wud+WMgddX7G3B#sDc%6@c+u zf&VVg$+wdJh?f^a3x7}j{u>SS)-%t8)>tzPEv+?+2{`Y)YRK=w= zMdca(Rq=myVq#!-fEN=7CxD5aiw(fX%M0M)Vg-Nr{4a~LG3eh}u>NtCu`>q)`2Lmb zTbKTmuIWX@LORKRf=3m5bH%?HAks=S~0H<^SJ;|HbnEw&VXd zAt@Ido4?hxf9wB$)W)_T8;^e*yzQ)u^V|L_fZwjb?*E!<0snQg3P3ZEi|zl_$~YUp z-GP6oorTSR+X!-!0=WatltIp>mj7Cof5|oeIx-uO9Z(tU1p4b$0Wh(#vi=|4+hv(r zzr7qzZyWiy3ix(7{~J=$&J=9+*M+fjaRZDU9gRJZSlAU*(#(ti=}8>jLg#0Fqd`GejfsQp2l02cK>=q;YcAH)q{(flvs zdy8)TU&Qtn&)D>Bpnvpl`I!7cZ!t|AjZLkAZ;!vZ^B+0Kf93z$;QuP#2u=TsxZZ!r zOu;s9)BBHvlk+c$t?fTjcpEE=*+1Z0$Uo_D|Aib}-WLBq5{|dfZxgdIw*7|>JAlRf z5Bv*({v^Ti7j*r@$@P~W?Be(j|2GqhKkzMU3rFLBc(Ad)rEU4Ah`0V)de~b6?fzl$ zCIkHgzH!+61HQH8ANjJqmHZFiw+DZZ1^kEo&Gzm4@E_{8eC_|J-+b-gzLV_!XCRzx z|CavmI5^*CZ~yj;fdA3pw{K(?hd=Fni{{`0emm*^ab#nAtN0%sVtXsk=}!mWoScBR zp#PmM8{1p7KNN4T8H=-}Bk&)Me@orj4g3#>w`Fws2YhRq>p#Z$X72tE_{M+d@elac z70@CGLfPedCANDzsc)J1>xy`LStH3O`n+aSATsd61$c+r&evG3jbrQI6_%2&oh z7xq;4Yq;f*pUP*LVl<*Z1(eKD<(Xv7zk3ho%tV4fk9F>jK6i6FiOFYN|)is5*3`*IR^5kX<}PGCXTn{NcIa(z&aX`~z=PfU<4$I_ z1O|}FR838Rf`_&3$vG0p3`9|Q4Ot{Ew|s3xu!J!b$(iZ7Z5&O?$U}zu^?N7CbQv{= z9RqGi_u&J_J2>SU<*%YORk^&Gn1zTR;XlVdv_OSzjl1AUPi=qkORQssZOMkmzR-r| zUuji+yBhy`^-I5iiB*8P+(JzZ9YxV530pT?DNg>^Y+fuEkpW+0AI=MZiCjB9toNA| zQeg0_S6>8RIn2L&L6UKUAp5sNCltO=mldl)iu=izdX<3}8tuNLQ@^8-h)xgz%E$)- z58V;v8|PM-oqT^NJfYXRAFK8Uq-+6dnzfKVpNII1d)CX1ugq92`xm|Z`~+;_=Gom& z$8x?rhT?`;a1HuG2Ywm;1%dPsL`=jd9cbwv?K^pTHAg4Fp*H;vHN>pD0!p?IVgX;C z)PX+grkjc=WJkb_hAr1A;L1Qz!nL3|IvXRCS-QVb&8~mbUH8{nVFI4#Y{qZqEVZaa zg=;dp&=rA^mgqCrXXRN-e+mIM844xCJ*Tz8j{ae(I}4ZEzMWG%lTE7?24}d?``5&T zyz}3vIkw6bbnY~dJD;i9xxI|+%@-`uBk=DgpD^HKKrqi17bFT5lb<>i;VZAuE=cQy zHPcIH@ZEoBGPHqbrbPCj;!!!2-Zb>16rR;@!YZlMcp02f{kr{gbSW=|41^K3D*ZIr zeB4_6<-;-&x7F>+Brav$oPnxaiiyeKznL!mEO0Xy~_GtbkT3kPE zu-j5@1o!!d4=!KB5|9-nW`)RFU%jm9Ic zCwaL(O_-zbZ((|KvW@+I-1t>E6L^5!enCOgrlgU(Z9}>2l;ifzqu|-};Vh zc65Vi4qf&{YDJh{KO$U5B~ChtMns?BGpxt2n0H(^xb{ist*SX1cdeJ$)I+SD?WNdp zfi!<#m^L%Y>Upt~r=4Y9McwJg3MjY8S1rg?q2GPHkxh+@?52 zVX1PO-2z+baD^EsM7^IU@!eyy+hn32op2j;kvPIe?iWoH93F#h>x}HO8`%$)rl?4Y zJxTOes7o=@#687@n@ipq33Gj<;TnanrsIFr8~KN5Bc(QTep`v$GnVPxuzHB>OB+p7 zIdP<9x|^;V*Xi3foyy)+beco0Xtw9=ixpWUSXhG8oyJH9m3Y^(v3*Xd!GX9X2F;(F z@@8}5=&9Q{FYJFfZo9`kZE*piNpn9NSfXcGi(IG~j>YbgiQ5<$z>WDVH#0f#iL_5| z0AJS;Md~_Uis5rxyd&KdA{`S=arl2WlyPZyvjwbqJK$?RB$x9HePl^2XyHszUH^S1R0ZKpb z`8!)GC?WN(N$c7zgd<0nkXjuP1-r-=mkBK+Dq%u&6<(5SH)#$F691PEoydP?MR2XF zHltv~al$tCXOu*Zt*aZC9`5Z_@r5WV!T}xi8yeN?=pjO@8HgP40vm}!xt)*v%V!3N z^F)57mnN1mqdSqHgV~(f*gaeb+!4;!*v1N3B(z{Ll&G;`$_gFh`Pz@Th@$a+7OZ$O zDoF%a0_z{(QhvL73!HMp&q;qT?TR?ZIB17P3vG>jwwJ-LqN=4O)xLI39^L2hVQb`r zw5brSkz20zha}@J!bJG;ML)3@gCYHKv(6^|+K?OfislQ!$rQ(`ku|+KN;7SBnSOR3 zIyaZ<4<@}{TFI)PqO#;1PW-SydeQvj)q*h;SlyTMVM(V(#p!6<(@(X6>l?Ne| zuy5hBmzhE;-C@*iL|=y7tM^XE+C1%2(YnJ!t;I`g%^kFumXe=?xE&(E@bszn49vF{ zRyMl1j--~(M4u;wIr!O&oR=<^JgAAJ(#YKeZXL*ep`F%tNHHtSqItb5+xn0$%4+v$ zl29$|+K;WHIKd#BGPr+JgFV1aolE&M<9D0@vIo{Ng+2P+WG%EEVbHZzEwlP=GBU(X z*tH;d1EGK0}hthx28#;vyO0f7`b7tc_ z=!xKIWNe*VXRGsU*y6Cbno)* z=i;kX4@j6{TmR@IOfaFWebl@d3N1Hq{=(^F$pwsG|EL)5*#EIgrif9g1)iH`vxs18 z64NHXfh;rwDfoXiR8i^p-7M6t2?G`wo!7*k=;rW00q6&}7Cc)96Om>CwVMjI2 zFbVn;O+^udHWt()v%u1nD)hrICR}FN)AUM`h+J`~bsFlHj|6KruHAecM22*b4|4=# zl=k8o>4PUE7z|^ytqQS-^PS7ezcr&0l?T zjuOJzWYd3<=}-u3u#;v5N9}|q?PFuNj2$rZBR|zV9MjN!H{@I*`RXI5lUKvgWVRq= zV7jgu#XX3{Dyci@%sBjvgH1qJ3A%*_`T>;48meY@dAxj#yQHYE*a2 zT|^TzQqKo09}$t&ej*&Kid)^C%4d@otF4&CqLAIKhip3Uxq9ilXeF`7$7jVI2jDNVJjsTp0jf9qZ#4lXQ7Rj$(GK`S%!y$7;WN?9D*ST zOGOn3V#up6bG!xIXS!$qunPDt7~bet)4|uh=h-Lol^mvcu-Oq4D6QD7t!OVA@r4sk z!%5%dgGD?fX$+G*|3UN}3vT6d^_V@j@sEEm2(C}C=<6kIppk4cX4ycjjxuiP7Msgw%-c ziu59~Zt{S*cOy{iu>SA$eIT2qaJmP2;+G`VvDt@hRY3xX#ort`jPY29P6o(H&9@VV z4q-bY)iSBIaJ@8%79gtORt#TJ%h5LbOPW|x(zHyG0#NtZ5`S>zc*OHI5V3!tv@gJE zw(r!GTrZWh^<4%8W?|49Ncj+wQ3#_b6Ya;g`ZK{j{qp@nXxry&b)J-&fFR{ctT_lE zi;z42!Hfa_iAE>?b};r@H!v~>JBB18e8GDki;o&Uvuglt-Q1A}eXH4DrPJ50g$W?f z6`_K)cgms{3DrgXPA@UgUrB$}1z3XrB(x{pKZ#uA3GrBCrTo2y(MszeAPG-(x!Q%N z(E;^m$Gw%U4N_=iI!6xq>Nx?QV?yu=VGIcI2*b#wpO?Izi;}Rx6sGh+LnG};Y4n4y z&q^tJE9SkKP;lfhA;Kuy*p~-XGK==F@UW0J8c$%?qUXpQ2F!-{DpY@-g8h`G8W4~! z0xh_*+^W(kx1)`#V_~kg>$?s3R5uTO9XSm%IQo@>%Hlr3PpgLPt3z|v&o?;O)F*>b z$VVT5b<#YG39v;nU+$y3SXIn>S=!@o5hH(-5p4X*$Oe+DZF{rFCQ40xh*^lU!}aIj zzmc|z3%jH9wN6eSTT*|Z5sfNYQ56y=Zr@Na@Ojh^HIo-}X{B{b9UhY`Q@=COYYal%MV^;5GB3|bxY zjGN*n{#6of|lQ;1VX}8~t&PE~JvFxG1d) zf)A?PxXX;UNC~wU^a`CdL?2FLo%=X0MEkwbMXPJJ$kRJReXMauQ$}H@#+-hmAej3b zF8rA3LG`kMKuV@6*SIT_TQ&Wj0{V~7;SX0|*a9{4i&1|-VZyulfwE%eA-M!uCnT!H zQ1BqH-H#NFoR-M6A&|L576ZPWNW5Q}7Gf8VL%POsMDA&QerCLTirB|f&xBJ)R!GSV zR<5cGH2P&f7oKP28SV8#laU$jjuP<;mmxg?={vr_nSk?R0-s{~Qt#M?jm$@q+%>1H zKEYp3K=gmwvF$M!{9C_5Hra{tGWwXs+U_!Wy|kA87$KNaGOU&=z{ z(gjd&^w=syP!YlGDR?xy8K6Q1yK%uzltJ z5EOq~h3KlhO@}RA^R%<4{EiB}-dvyRvyyXw-{-cyop(0ooubz8+j&?*BMUhpTTNs> z%_8B3lP&c-udroTS~%1PrF5_q4-cIzxZ&@)kdh55K^H2gz2hVy|r5HId2~i`4Zx zuiy%n7L0>`(F{1oE`MEWnGj^iWj=B?Y?@)D@h|?SOt*YBRg&#UKa07=sTE?sNSTXF ztl>q%6y01p9Viw-bOp$X4kdJ0&P~flGB#2g^LE&YFiVBaTi=@CI3k3e?Q5spI%a>l z@}5ypeQaSeiYD5uK`Hydy|3`-J&@C9;d|+Srvq>)*Q>L+qy={_y~51}SP-V!NTUCA zOKfTFT?l6IkM^^_Hd}7cw!!%xXqCi^->( zox^%pnYFw95vUeq=sXpyb*!r_NQt_+`o;>)OeBQ0HSAgH@YMIl2eF`@%w=BOTH z`Ak14qr8`|CxzjC;;uhYE6#FjP`T#z z$H=sVn`MHg7&htUoV$J9)qD3L(XfD0!2h_lp@lZ(>$gQ87@0h-By6 z0h#4H+~@*tGOTmC10k-NC}u8NxvfXsSs@1a&>#lR4v%?}Qrvaetk@~B`7=EovewR| z8^lTyCZi|J=;Vl`_=|t>c=DnWChxKvRZRs)ZbUOmOskl?3b$$?VNQEh%qcAuvk~*{ zC8~2zB9hU&i($X;?8Do}&vtBkmH>1+&*>GQYSyMdh24YgF3!4AE!4|W=sUM>Zb~ln zibMBk))4Ndky&Z4ngw&ce3c)+Iq=r9j}%T~a$Mw3TwX5v&1ZjH=LazdsHMX(4C9MX zqjyEdf9jvs@5wUJ+Q=i%S6nZ$U&1x+J7Y~S|J-TwdCjh47D-Yf2Bpy+{!rYJ|DyJa z1aoihrwRs)V8Jd#{2|WvSe8~35i}mJ7iqk$xWaFXZYaVy+?@<7iD5t1iuB140DL@rTeom)gLV(DMfc|A~#RcbhxCd3J8GjX7$l;l(;m|Ih1+rWdd3QQ1BV2f__B5`N;bG^`St(gB zkSB1>bv?dvSS6l1vG?i;SQNvPbk6}oYl(zv-#I?-tI&T|Ck9U4Ueu;q=v~3k3uz9E z=lDN@Z}AczFQChNKFRGEm{cglS&&(5NWV$c zwO&J&U35mdz-#WcU~ICbfGyw%)nMr-R$=4^aYL1xM?Y>tC$Y4dsFd6L4~k859(H1E zix01T?B68QBXo&b6%41ebsjgz^tXy&m0Z3JKs0|O;8yESs^B6M)mJuE>3=X?;hot? zF4d{Z8Q1o}&$&G2NXx_*Z3aLsc*9bM>0U!$M03JZp;=P%HEMFl5X%DR*P8vn#Xk#Z zFK6d^$5GX@BE&wSC5a!%Q00>X+wh&u;+^NszNC{FzO(iuF^?Oe7T26TK&jrbfRXd! z#8iJ1C~WSuQvDK>H7+eUs$Q=5gY-(4iZ$Me>^r7}qTkUHu|xjSJL0?-zqUZRjq}X$ zdb4HLyidf`HuYr3LPznhHu*Wm_awKaMgo16u1cM#J|(({#jFeL^q8EiaAz~Z!EK+b zRoL({9()CfH+Si|zKM#K=n}A!GZIcT4PSq7muQ$cQr*Jb{J@CST@wc@A`r5}pO?mKi*|p= zPB}FAJZP<#@#4AhFKsDy?vOSZ1OesWWVadP%6aN2g%EP%nx>FFDMhi%J z6Zsiq_lzjhU5$Yz{jq}NU&1>Lcd&ncYGp)qI3gv{QCpBbpSX>^%Z2CgukF(q^$^tz zMvMyaLWyP?iFGn3n)Ebj>M+@g7JuwR9I(YXRa%7i*MbTx_5GzlF1vA4^clnhQVh;N z*;TtOO7QVH0ZrhY3zmm5-e%n4Y$!gtU2}|XN~lZ*RXg*>?qRP)tY}1I1U7#{e-6Ol z%7(zWcS3l@vNDQ1Ugq;}o!gEi>f$0(OF7BT+n%UF`ySOp+-)Il12ahuEl^3v-Oyu3 zQC0=N#PE>*X^h0(iq$pw{gU=Oc~gDQc@;tY

@I^To`;&sxc}1)|%0>*!jq{4tgO z3Tho%~7q`(q+5kA!o2TUVXvMJzb@*R)d<Rq91?H^gG14?vUC2@%ZjSrCZC-BC0>h(xW4dbNVCP>oRM1j+f+u z`@CGbM|Aq#g8`Y^VuXI?oEL_Dm~d8>-^#idlV5tBCs7>9``g4iGYamy-W+VaBA1}! zb|;1@vNTT#6q?(Hx%S&%0t-Gcs#h&2TKJnpMn`+j%YH4#s6Bt%GqyG%4$Ug`F_(|` zNYR7|NQgSx^Uhco(LW`_KsOwn;*aocBt?><>ABcNTT|7?ZWmJLv1+9dF^sQNke(%i zi2b zakqyZL_8dp=6BWf5~0(As1)6s4_Iw}WL7iyiLw)b+v~4oAS8$jB_iKV&6a#&?sEA~ z7z=)ohtOUPO*0Q5y*GMV7avXNKs;}rS7YH+XF-cL$hie>l*B2T zMgMjpY}_Jlx<0NzLp~fO?^W^w9k9*OkWMGc$cS<8A7!yYcLPP|{_G;sNm|Ch2kC&1 zaJ=-$vA%z1IJ~iHGK6W0V0hSU8DzW7c9s-rwEo=0gL1jx1zxSuJzK)BM#e_XWlmZo z2ucAMWBU+2mo2HBUi#fN6&&$4dp7~$ZU#k(@I=!CtjpQ2k=etYE*ZsXBO^X4eIqQ! z?@yX(wZI~?%bRo$EG#UAYB6B23Xl>EbCPU~p*KwAa%U)@9lvkf)6Eji=6cYtP0i_5t23s!WuSFWKKnVh3>` z^5TE$qcE@qoTn=j^dm&}{Ax&647P2`80>nGd%tfZF~&5n=ZOqEVM0B>ic15r7d0E- z12ZC=+S+P_jM^l~M4z_ZJA&C2Bat;d&h)EVYt_}pZo3o%MfHf_ziO+|Bo@A`S>Qip%nI=KGlsF^u4F z$F-UUTLwB4NhU|ydc|1nFydaU%Xxu71Di-G^0=`V*rstwCGrzikto(i_AiJ4Cyfv( zp?M*x9j)VT*SROy{G0Hsmf;p={DHZB%|k1jXuNN*L5o-IG2wK#jSihY$ioS?L@j?s zbYuoGoF`J}ijf-7XLV<6plw4BgDP;(Ym<|^ET?}5ZGpKXgNQfv`Ec1M%h;NgFxN{j z$)6h;C&N(Ot24i6vf{LGih<%%t9UV{gPvnhVt8@OapEfhxi0#aO*cY~+K?oOLpk(& zdG0%YAwZb+4m+XIpWs{nw zX)wnrvxA$L>9fP_qr+g2{hcy10ApBT1YwDEoIC5TMpO{}s%zPcP`+sKrf7xxQ0RoH z@X16)qRl)|XL2h4Y^~whKoPKE5x(%^hb37%eqnz#iSKJEJ>4nEh=*v}xEEe!RYc%I>8#C0lD$*1_FE0Elhn@S`9ZXNwQMNCb zYTWVV_5*bfm5&d#-qVERrci-*mj*i`5;)7CE}7ORzrz1&Fd4Te>CkPEtaZI>z7+9m z_$)g_%VL8u6`Es7@1(QM)`MESQ$FMcj+%iSAZBBNLj{2|;uEnc6lj0kS(!!lnO1R< zs+kg-@fT+lFh;6t)bVir6%G)^^zgn3(aDq0?U z?7OXDtOk-~0E3o@P81RO?tM4rn%VJEdwaLx-in7@%sPza+?pKzkKg?UBWqX>cda?Z z%eUX3Ub8cEJ91uz8b=*;(HAgF>C~Wm+D&j>cVy9T!l+^Ezbk(uPTrcdc7P6t1p@1%bR2&C%UnnV((R669@yykM><|;sJ*>}agu)d;N!~-wQM||&3eOb z9Jp38q93x{2Pc2)C%U1;HZQa2BRAOxRgXQ@gyZvrBku>~0kWnl3URXEIG*i4#|b?B zgJX^p8Z?WsZCghlC<#Pq6YTIzPN!RD(MInBtHS+xet7XR(Uil@`h0T)cFbx)Yeuo1^F`XYy5UG$NTz9z~?m_&% z6Zg4n4vZdV3C%d$b|ZM7WyP^|F#*()n}*YstnSR6ZD};L$TVT}P?*hTa+sgK282Zg z0T?e9i0FTp4*4`e7rzpBfcbD-mU7b?tDd{_+~_mHodDF@V@}_-GwQ<2+-2y=eMm#O zz~Ab)mM`+T-pm!U?PC*z+%%>r^sbt2Tm(CHq9ftjt`l4Jcsx}q;K>6i_gqe>qvwxc?ZOdD;=8 zYc;paY96=!)6CG5DRJ*`fdv-5aEfoYo?~Y7hi>Y4j6*x5D?p^0piwdvYC=q5gNtxZ zYl`BQXAP~A+SI+&{1XM_N<$jPRyAy={!CCQPh_L*`u9H`{Z z15nd7EU^^@YH(cd@7X%2NBi6*z9vB^B-R zr9Li;vx*S6r4{2OL0nxB%?vqr6ow@mKn#0fDuHy?^^4`^W(!}w?EE79<@Q?=1cW&V zt+_Ow;UJ0&YJD{5;{5S8y-s^O+K2pt-6enEkWS+Jq8*93fR=4XuJ-h~G^h zZtgzNUO?~OaDR+$jGrtoOkq|?D#Z%lQdGWNX^qqcWqXN&Pm&zw4JSKdTmIgKOaFg% zIqwzUF8J$R!dh~S#gwlh73xcpw(7_AlfyOox@84ulkJ|Nn%QR{MeUJs`mz2&3Lh?er zj#A6)i>ekePq)y*606o~K-T9Sf98K8j&$ztkvsUr&xoF?7CtNlyNfA!+nL3pDt$A3 z?E#13311hZmH#f2rG$X7&E*5E)hICyh@sLkE2&>{Jf#1+>{P}3(?+$fyND-2Tn04= z_wdsc<=HtdpAiDC_#HAyf$Mh%w8?Pe#mvNq-)yOq{miT$^8+jyKjipDyu*JgU3oca z6qu=INFL?o3Ul;8h)rIF!!%5 zMbqg$QkqKzFYu;|u}7EByh=oKd^_x`m_ZcB!4!8Ym%`A(&76MLb{Ytj(ssyE)cSGr zdyDDq-wE6IkSop8KNm@p6K8)h91D%)H#+O%TmVqNIFmvd7~ChUXY3NgL$D@3JANa1 zr{Ca*?&aFzfOPbr>yPf!vxTEWMLbs1g;1U?j4YwMH#~{M3O_H$XN!j2?Lxg@O0L+T z$JrTcnTMY>E-Qh=rGG88AQv-3Np5uu zkK-4N;aLkvWfOuykDBGuh#&i29t7_sOE~dOyK%^Jr$hY8fKr&^pbPMGA~n{Z7a&#)k|F>}hllrpz4SXNcUw$`2v zfG_P&Q(Jt<7=BAgWD0)=Q0B9u_PG26GG7|3L)T}IA)JKJJrp^4e6z4Ak~hh29lQ{i z|4pHHa64u0i%2isk3pfs$~;x^3f0%HtyhP^+0wq4Wwl-IS^+=)0x>&Q(I%&(Z8;Yg zWAkpREsFU}G@NMkQMKdyS2gCr^5|hDuD0s*Chg%s{|lo80S$lWi()6MQS<6j2Dz%V z)S2LG#pZVrJ*U9^vQbkd4DJeGE8k*XZoLkP2I~tc+63}dT0D_lwk!-CslOmj)caO} zM4#juxvp?%mHPKgNs2WFx8!YFto3rFBV_%>PU4I^cgv_gU)h9Oj5{Y>Jh+RI5XPq5 zBYI(`qlXD4>ScdiI!^LZ`jiZbp<)*VjP1%1Wt-)SAHqQed@8&a0JRHqw(tH-aK{OU zMWqj z=VBGB@_tmDUK=!(17d<^Tf|E^ocLhKC!n9;ZD9>q6H|W>`IoF_UZ_tz8${mHk9-}TU>3{t<*|t3gNO0ZGjS@<9O4WRps)^pNQ13E;#7&)cG-c zI!6bz)^5X&&NPB#s_i*N>R>mW!M&pW^*5Ekql^STMwf2xWOVR{u&6tw(nrqF3aS*O9v=eIODRJa zv7sfnXPEfZ4OZ8#rT#F@_*7~p{8hJniCj@`S}CyNk#Q6Xu0(|~gp;+~DLrFeRUM)T zZn2L~>PLy{`&<;(ckPl`B&X=k9DQ)iH7rB#XFq=fQ#FP6*CR0X0{0C)o<5L$zlxF0B=PH6!@W5VP4~)galhk8ZrQjqIMnJkW4H+n z5{0#@MDA+Gobra_5+UrYv6+2g%%C8-2eE%vWI9j5+U1%FZBu*`(j>5VlCW2}_ta

ZFf-dyz z1kQcIn1Ojf{q^J*5)()+)r78Mbob^P1&a6z@kg<)9}%&V6U-=^t_u6~$dECniz|Nu zKaoLXl`WTjcnxA$q$-wxgTg6ujb5pN2?-@CysuoFw(B{+BL^+IC6MSumsiu|F)J}2 zplRA*?CZ!iwTsUqF}yHwb{tT`aM)^3DPfuPtD9dl&X$Vf<^U)Q6DdmSjH$v=$SP1XP4XB>x zD3Y|Bu#)Ypr~uLo?@tbn&TA@iP4X*=zW>${#%N=d1W{t(Gp8}`!wn%J+HnD;(FzShYL<)ktm}=9R@-WN*2E=J0ysu5!1USCsLPgWB7!-}`SUMSUvgqok80GIodsDN?b~(PuS1yM#ab&1^$dPt1TqJ$nrk z-N4sbPbm7^?2(U!1RbSt-nM8Q9acv&arBWINQIxrY4j&4n3&$<9#EboU#wVVpyaT8 zws`h+=5H6is~!lI?}%(6Qn`O)EW))MZQhT0P&c(ZEERy{fWgdJdng)b+M-Y?Wk9KE z3d0|cBKuDAj;=ahZ!bJ~52<;V+%>FRyN;`{a=zHMVwkdx|Ed?d?*Ms%|15;1SvThz=>#s!Y9=3E@+iMN8}WZ`$HgK-#~%@a zC6)kDJ+I(0^7;K7oJX^=5z4{=Wa(bdF-voY>`B3=-u@rXz|Fd6L`B9|h3{A%h!L zETCNgqp877R$NnJ_m(XbYc~qyB$9gQ`!kho7Q~{GmN{DZDRE&bHUAn!ojx)+Rhoe!4Ob#=698G;FCczt ztcvtYz(LbuJr;>2tu%`974Z?eMQjW;7jP7mp0;%9u@HZKM;G^d37Vq{W=ddx_b2>& z_O)nanS~Gd3k!}?E&3&V638?IlBK`}UFF*5dk$^t{-LEM>-o%h*bAkh5t8R`p|mcEX$B+mC&0h5Imf= z@m&E&863jTLMu*9eoa+}?2bOyQ%p$d+F8@y+Do@N2f>`mF7w3R|AfOYV88WP9W@+KoA zynyj^mNfXNn!*BKuAD5}CL<)t4nA5-R{+%;&Z7nXh$$l-cbq!)!!MV^q^zR)`*-*?e`!jqihjC}Nf(M7IdkTy|AVu z2BZ!xcOY_SPLbzEtDczHn8EnGx)A*ugR(n1%lkeq3pqdwRgn5_nNawZ;+HZ<6Xj}r zBx}%5XTn5tqIv-t`#dr_gcAgzxFHuH?0}$r>zLYhi(Q7T!2SA34aT>3wE2IrptM6M ze}(xuLzd3(Ev_af&j;V35|F_ML$toc3wY1DUNo>a5uFJJm-M^u(ntC;8uS7+;gepM zy?*}tH>gn@_^S6EaUc`=CJrYNI<7H^bhEjuGPPfyHAhCg=i!YS7ZlkM zvu-7l%DA1mw^-|+`#MN&G%~sN;F4!86h_?nD*PQoaz>?^#S88`Lp6T^qp(Fo>mNaU zCDT6&%(SP_rYRkYG!yKipTrx5^RYJ53{$oHX)^Sr0PCCUJrz^qZY$ON0>N!>sa1O7 z}CkIl3aq#b>Af%fjN!@=3lC4nmw3yuZ?2`6i zzF%-u_TH{p7Bksy=`$LU(9lOx6-wI`Xn|bWXerX~cO=dHF+C?FVr%c@5ppL#T>_u2 z{TQa5TNzD!05qKG=8brM7f+fCOuvpliGgwec0h^0!=c}Sp(%3C5c!*5Ax5)_FG!zS zUu&mnVDME$duNG|_A;G+N4*_-ueRsOIK`^E`29=?LqS%ag8eI--64c<>q9%CZQ~0c zIJ|EX2|k|t*%cw$)odRsNRxvU@bcZ0MSFZ1WC{aN$fIeb)_V`{130-skBeyPKdu2t z@zQTgp2AKg15@xD1xKd~`90A`kc>k$N`kVhy6gq)R(Dnq+aVxP(2QFS|l$0 zmWtINasY8_QNSsG;3_P2FrdJUj4*!W;Zw|D^oWhTT%|4B3yA$m9F261at$H)9=d+$ z^7pUkU7=hMzKu5VbUqjd({}Jz0W#;2Tt{7Ah`rcvZ~~N)ukkfm(7!{X;M@`_t}G< z6ZdzSg&>JaJh!y_l~xULxddLKeutYg(q1@EVuhfTpfdIGIY{y)3s(o{N~HsuvDM$* z)FJ<<#0!>8*4ADyc-J!fY}>oo{X&*h?+3SU)V@|u=1#&&<*WOm`^&(BnUQ_Ei$2IQ z`WRknDZwOvm`h_5wK4QZGF@bI_U3VKfu1ZxeH)Ktw^=WC=mjU-UbDe$+r#Idsa$IV zaF&8C!q;;~bgl#-s_Fv<4_1o_sP`B)(}P70>`?DaV6gfWNA3eqKx}0A@u!B0F(c{- z--4qTV3cWMhJ&-?uIS1AIcoTYN4Nuna$cJ%KiiwV-Z~5UxrAn*$S4D11A+(N#!*X0vmd*-m4rMXix&SKm)RKvwd*bk`H|3$BbEw+>fS*j{J~S1rdLSG9-} zLjja?hZ~)Ln7i;@?u782-f+#MRsdIPjxNIu>QEo`LcJv6u<$C))0Q&7&>1~tMO|Zm zBNO*he!Xze)2iO#J=C{IGlK;RmoUPzii>8K`$#6b(^)kiDa}9h zOl!PdV>U@pZhk$lf_mH@{d+U8aNJ6`1h1bY+RUw})L^pyu>5LBZ0%-)%-%vARXbWU3{RBx9{&QZ(`xQW`YS?zHJ&<8 zY}&7?wg&P6JIRJLloJ@w&90Zkjvo{n56?jUUQyzjg{kPEYv=dqlbtK7;fOllgZC8* zW5Yb}+?^fg+{lJiN&5qVbCk$=X>PK6K2M)=GkD1w? z*Lf?IC@CnEJg+^S1Qg}p=i>(W)Vi9V+y2J{{VJDU;39*`T;)%QbR{pK}?q%)d8UaRhPWg0XCQW)d857Mf(9J zx4G5A?NhrOI2I+1|38^tQ7_be-=nz3ENl67sK|&ElS{ejIN!5LaRL7bA)w%j!+FYsKz@FHVo;Q~7zXQqq9iB+ z^h4rYfu?Y8IMx^L4E$X#&IQlPRgTD+!fPc3J2oZz)JKW#izXKuBf1IH(7zX7DMF$|!E1%%oX%IxOspl{ErfU@*BqI9}?t= z@dP69CBQ?F2sr)+5abQ@g#&R|A9zU6|5p4{0ze=@XCw>MUow93 zSfoGjE*MWd2oU`H^Y4=#o?Ffsv`4^y%>N7*WMrUkW@aY*r{I69)YLHkz#vg^8K9`R z6c`ABh>HVd@Q09pMlpteBLB_;{2yOkGy(&Z`zu*|m;RNo@88oG_N=j^8ZcqKQ8|_cK?p@{~-8(=cDE0;qgZ+@LTwUGXQaA#vA4(9q7RsO;) zelM5@5)C)Tcq4y5C_qsN82n#4{8qu-@sEZ#o{xW2aQxEz^GZ!L4CDNJyTqlWflw?K z8UVnL7%xcygCO`dbcXx?VK5LRhQ{FVEfA9=N@I z@cy_`mBUYTWk7L+f5kFWP&8-~+vIafLzX7^Iy-z0d!(Ay+fMg&NmJlZWs3VEXrule zSyV%cN#j}YxkIw)@Jb_KVu<;};PVaDsxB@HPEm7})!++%ui!iP-HGc7TlDzzynJM7 zj0+f#{W`V%tGddjKShqOn5@2*)~7r#`z#u75ode<#VCKi)3Y&F9#Whr7r79_u0QSQ z;n4^~?%*Z2Ua~MCWHVl(D9C1BJmF+4aOS1CxOXcXADay;7x5v(r{NnxYU}BGEMJ03 zie?K(ZGDP=VG57?S5!Q_naaJ3eKh6E ztu)20eZZDpaXk`5&22)hMPv9bvhSM?MmN$lMrd zi0IjuS3l%nBN5phv0^($8C%&0xQL4>;@vyaS7Xy0x8iMH)uwiU z4ie3O7^o@Jh5D7#s!8v`g2|RsS1h|+FwM!^$roenA1mHEwIO9);ois1l_s>v(+9l` zl7d?K$tR4ybsvwOh8a`c*vRomRks7$hW^&TkcZ2 zsTm<2wN1CyMHu&*$4!tn6n};~@a=q~dqv%U>!ab!6geT0U_ySBp~hxoh6wPHq*~7@ z@o%3mZdjNbHab!Gl^X|{;P||lZ?)i_Cc`qKn^mvG&vCvUGI9?vadUdb{K=(YY3Nlx zUH*YfuldKuy1Z4Qh72i#>v#O!2WZ;;yEav3-;YjbGuq7QNxO#ayjq-6bXA?IoE!Lm zL@H0$!kdI~8ux9OWdg&SZ7;YFX!ExS+w;4)z$v}!R}NvuuhjyBy4VX41d4OVHO`RO z?=#v@Zw7ThzO<@14`_r2SYeyfG%9Y}B$a6PiVY@xRoqAs;I}Vn0*T*gtz!|aYi57; z{c~6MvcTN#7HX$~4bi|xc7=h{G(jAH%<4EBQ)_O3Isg$KEt@bV7(D*S8BQIjKVis) zdc)mc^rk3#_k4mv*#2AHxUXu}djLkW@0YeecbPBe=9X2huD>c#@4n@`+~;IHr(;U~ zQ|j$yEgMq9BoV0xJJfL7KX#yf4m=QEF@Qd2ARez zZDuGZXjFN@z1q^->7T`ybCOqy=I51=`)h7(1NjcWX2vro6$nXS-Y-;ShFgycgM);P z#7-}&!@86PqoZ#s=H0LD*3~=X>;NF_K1HeXczdG5EAzy|ArwIpr;3{AQ*IR-M3RT2 zHbx)C0R*oP^+SdH?l&m^B0OM!e!jlVoBl2@l0>eI{ni2C9f|4{!KcOnG?X&YAz$sQ zQ9c}6+u0M{;-|6ssV^)2Ls8Q0qzZTJ^*xBW2LkUT2K=me&ZAi*ORG(HoWI(&+*#Y% ztQPIoM6>ojw!ZY-}Tk4cHnJQcuAZN{g$L4faR`X?G zC@ph`hBo)h2B*%d%NN8sZHKU88GXRc<$c^r-=}Q56p3%YD4$q_3}MdlRpKc2@6u?` z*!dUsNXfl@S`&iwd;vWmJIgx`<@wkGoMLqDqM&!M%Nd5J1r?a5IYdt*1~}Or26mH+ zrEj!aiL&otmtx)wq#Y}NEtk`BOWq*Y?o!4U*#=8zmC!utF%X3NwHLD{f9=Rr6UL6J zCBfFFbMhn}w)q0GGUl(pdnpeN@?kRoT)N|T5%m^8-71Lt;L7l!(Q9fsE2!kROM`AUVt+r$(!1rr14bxYRV+%8xp5e!>Ic= z8HB!**W4s7EAEnBQC?ozK)0yo)dywgR6gMrX?y~S4$9Iziry3(H}yvuNwPJ#&#ekD z5%@7?)q6;Q4NvHQ%7|NXr&kwjH3?$bs<42|b)t83~okcTBQ>J zVbF_TP=}1ywPr`HZDoMF8c)i_(zkKLy7ZZ>nj=lygng7TcK72EU8iezzE_N;l+U`! z+<`hkdt3Jpc|?PFw??*DR$p+4-aowxIFeuEbh@1}efNidApN$^tM_E1s#Zi(nj4L& zotH0uTDasYxL13}T;-I!gd|UC+gI&vLqS4P?*?sDo8t?0GhayUqqS{&$;=yhor`NW`-LjS4k@5-M zUb!pJEv&779wvYAR!f-2hz>9`!hUZf$|e)VmZ6GMF&hltJQ~bJO$#elmfh)O)FHLZ zGaj0k*b6=*%JW1$0rNB#HCs5#tkryJX6w0o$0}zhO{^H#^jhmg*kxx{~Cj z#;~Vtedv*qJayt{>pKBFIWgoLZ{2u>yBE8AY@dt=rSzxX3rJflOS2nlqP=}w%s%a> z34iQ=Nq*;S|122zI`~}I&c^xWS~j@48q>V$d`FK@r6PFe(Y2;XmN-hG?l+fs#9qE68Dd%$4qR5M>G@hAM~|c|)dK8^=tANwl}1Oz z18=8!t&+TWanGwVqA-qwCkOcO7go17wD&82H{S~-?^Uwdt;0gnE8t3Nm6DT&o)W3k z(sjDpAl;^f2_hxNPXSlf!rx+s)Zfi)MsTZ&E4HegC~p_OZ{snIrmqCFxj6KSgw~w> z^b*qy2BI;a1~bg1Zy}YfVx2xoM$8<9;C{k$T7MC<5{*t>)*1{#LN{)t7&zPXha8B1 zM_TS@(Ti;;Lfq)0hn2u~DwtdLZ*4!4k4d_=-x1T0_Bj3DW0g zcM>yC8K~FHc$}6uL;C%(64wtV4fb4RV~5Kf+z=+ee_uZ~Ey*DECaf&>u$GJ9aF*gL z=Ui0YBNQu>8L1Leo9MH+3Etr31gcwq_XZa4nnH+IrV1XVIUWG2Ra7uF1L$K{&fWK7 zqg{8#XS9U-{3IA>ax<0%O|58ox$25f3gn8s10{c0#qhl4by}qLBQ^-ife}P%g&Dmf zAXsoCznS$RF3%)(G#OWa#Caml@x^=!9l9;HRUQF+(9*||7F_1gb&YYCbuOuY?w9+Z zz$>jw6ac*>E0lB2X-yz;!XxHF5c*BROl{)j_5O^#e(zb?_Y}edOEZzw>1oK!y2)=E zGWEU88t08C75ls^uMekNF`8$F#^4dKXDPbu(<4pW`<;^&XTlR)GU*>3C>u?Fk_SeZ zcE(T-vLZDwYLBxOgY)vxe8l2^PFL@AWHnoIAM8{!neO`RKDFPhw|gfe&KvovC2IF2 zz+Z-GrPfT7xlyXJFzt5E#L$k#M|ow;D=(@lI!jyHUmvgjSmDm~iX|#$VKJT~_=r$}c-Lx!jTDn2`=L@t)=380lijZIY^LLXLf)&5u4W9T zs#Tjx;+?ak5#+bWls#y9yk-Sxhc&+6j*L3=aX%!MbO_;|?#|&Yr6MSDG-`=H1sj!< zh0`@UsIR=7R8v?~EO*(^zfA)HokE+gZ(WZXO%ZU^>wEQuO-?MT+qAH+BmhF@Mppd8 z1D#<|_0#bbaWcppRu;~G`f5D1zs#pGR_~3QpT;07L~gf7-`-Nj;F3_F`g4oB&blnN z>mJLdIw+30o792)VfnY=rR$7TO%Ea=E*&n8z}nAFKd#jHq*K(KE#7g)nAba$Yw|_D zhy)HZ7}%(9+;{p;Gfy{=n8Yghg4gF4yl{PHo@`x6p@0rW+7-foL3(*DB<7LAJ)3v6 z5So_<$7yylH5p6j^@kT}t1UE&bkZ?L8?ex8ypFF(FouqGy7SAAwbf(UU|sXN@uuwp z2ztVIR1jL_#k6lq!erL^WE|=?Ob_|XQoWf3JwFfrob}&5y41PNqG9^Q^?|_|QA}La zH2q>}sWL!IR$z0F^3B^_jk(?lI!lI`ed?N!olH zdXt@pqbV7;tCjSH?^AOMYfbNqQS$45-72{JVmU=iGxcrO(&h?Pnh%WAgs$Lh%rt?i zIBCuNIV7k0IdDd42fH3|l$E{}8+S`<=$iKUiyt?CFPgdJ-*%N2I$zynwu%}=2kX8+ zwCgV^^!Ea-u|mkB&Ktau#YTKip6OwqJ!=&#oDRXfy~(9IS{u73RX4l85?Zq)zU~HPEr^wp*>-L$1w)^#}bKW>_ZTnX4FT3JM>aX~Sj` zU-h>R1;0S%k(eQ7QA>%S2bbv!r8SCOZR37NVncD>UG1g|qUl`G0g%?A%Gnu&LZ6_d z?+fP=?xfk4HZ9V)$&Ah2yIZ@>j+20Si80@Q*5kNa5kcvj9IT-{Pd1RFKPO?c8~v<0 z?k)?NKc*EyeG3}Y7^fftz8l{5LJkQh>s6pfuG6+N%sYH6s2et}M)%2XkyX|3zEjnf zR#UFw?&=0HT*B?IGu~zel?Vr0dkGa@-4VNUQLF z1WtJ}(p-y|tHp^xOJUP50>~yFr;oiXm~!)50-RqHqd%MMms+L#gj*;;^-pbj^sV_= zl)!LIu^pnIu0Ay>Z%R%Hk@SH#+OUb$Q4Y-e4jeOE{Fj@(SC|p#mtgw9;~_=+S_G}H=d z_s~$a!V7zUSh55#&9#|=~75? z@bQX`QKLoo&xDQZymQnhpPOjaE7NmyTLAT;s~C=-l)&H|lGsH)eF!7EJJ???yCHgO zOz!yt*kd1>aAVnm!wdb9tth-7#U}D5bxVcwXAk4Yjife-O<9mOc1+bHjRRpaCDi)v!%j8mGVf%<)r{ITC%5zjJX*B?AE)!Cf)(9fItiyL~#^SC;pf8pi;eu8_ ze5YGdtO32}#Cwy%ttq#E(E8bPa&-px+Zf|2gqX@58${zFRAItzh}-ruvUXT2+`5K7 zP3!FKTjFfver|sl+S6{;i$Hj=ZLTzLs6N?493YgSQX1-Xe5KO$iykgX%@=7kLXtb6 zd?Ch6&Luv>d5-epU#LZAKC-Hm5M#iS3&axkO@60=d4v$ zc(!)Oo0wDf2(R#p^!hOF1p?o2bB?*zxg4YJ!S!Gj+a`YE4`h*Wb%#x*4n{t!Ls^*G zUfoSZ5LHnwI@jcX+FKi=4_FG*szh{dafoSC5@eQ4Es%Qk+Y=Utq3pOXPuJSlL}^FJ zH46{j-Bt%TzM|0XJdZiPNWE}70*S|kzFcy8lz6CF@lb9*nzv0W9c4XTx)vI2q~ZB0 z!<^Gx+J^tf*^mwejPAS(=T^2CD3O~zWqTDUluB0x0yl7f7Ri}%-Oc(?Aki@fnumRp zoE$IPN+!^sJ%4Rqb&qmE!fA(Jja`MW%+R@JlTTJ)!#m}X@kdKovGwJyym;EM(TzPX zdXoOHl9`7|eEEQqJJ!Bc?H_b%Nb6b5fZ=S~SW02##PU+<-esjl@1WfqwH2i*)K-D? zRLf^?d6)fv8FX}nHTdIvZ9*+?$1C3kKGr#kgghi)x+L}eU)l)CT3^3RG7UkKj z$0iY3(rf+j0$SirHIv&;QY~a=Vr|f%X6$e`T*s0`jiJ-T1+fZr+->Fz<)AM~*u3li zX_`2H5kx{1;JE}y_RT|5)+uELviW~xnCM>d8S3-2?`&3i!t3KVq#(KEL??0uB@|NT z`KtY)QF2ft;vi2mELsI&lsE4}lP|{Q=*-hq9l^j_@)AqAxI#a{?u~7blwylB6Ya2I z>ZN0G@PA4)f9d#1ihe7-VM-1^dB`sy3U zj>WfEUUC3KI1zicV&0~-GuO+BNWwRshg;`mS3>p8DVJs=EiCOY_8&Y3qx?U|Wt^0b zT^r=Rug94hkj~>}*;6tv+imzDzl>CWu=L^K?(1|Vx)EW*NHq&$^Uvh^e2K5~u4spK zJOw@`2qQnlNi_3b-r8PeX?P|}-|c*l!o0{+p~a9RW^Qxj9>!f+P@9mzn4WNFH&={! zkDEu6c!t0sKC|jPzkb8AQ0E-o`h4)Ih-L#+Lr z&~(Ua?Lmoy%>s*z&-B!PWf0C{>nNMa#y*vP}v-mdv`u$h8f^Yj!4oS7V9STH|$P zDzO#v*__+nU#FEGTKd+{Q|A-e$R5lbCj`JhcsUWVPS~@6rMPe^b~|!x`Og{TmP?3j zmiH%;XNAZxZ&^$*d)9tMZ?n>?oGCKP6fD0-7Bi1{&fVXR6TbpUIQ^ofnyY3UDZqmo zG#NntI5jNkzoGWfY2uN8Rp+9WtPn+sFlSt{S80^P{>t2_+fIirPqQrVGK;ga7Dumw zB)Fq$?=?}?Ajb+#eR*hZZe(-QMs!Y;+n28t#NS(7VtBPJw-L&`54vvu;xTQ>icKdy zS9`_8bNA(Y0^JUZa${CXpX$s{(GmjjU(lyiUo8r}l+|ae=}MCy*;Oxy&mbRixM-4x zD(nT)G#mof)F*yDe)>Nrjx$-8lsE!E22M;%Q&Uryycq(Bmq{7|9+!kU0wxhOFgOY? zOl59obZ9alHZ(Fcm+`*>6azOiIG5qp0V;oV2Q-}R*0vTcdJ91eiC#x95k&7@5`r)W z!00)Q@0F;mr<`I7<55NtAv<2vaoxuoKuod7}xd1H-2k`I0_y}16 z2DT9AKd?UB8tG<%00Ynf6aoUnoY4+0Fe@+ufW8}`uc`sib_B!z7;F47-~s&A8UTCO z5MU6x>+bx&$7&CQyTLsFoUI`+E9+k+Sh+az8^Rz?E?`xKzbw!Y;lD8(FcKglARr(n z0R(`Z0ALizmj73919wO8Z{>e)7@fbjrz6}EV2v&T>UyH#B_-8CFIGV9w0LQ-x{#-yr0EGSk|Ial4?ehO)_pd1b z3&H<8A0-zk^tYDdm-_$FS~x(U?tkgge04#hxvvRFZvgDSO`m}Otg9y23gY7M-&$3q z1$qbMU^dXdn+S1Mf}nrERyq(Q$o3Ca{@{kc77Pl3fpy@{kY5i9fEOqr@LxLgR)Or% zkA^dvkH1x5^wRwEN<|n5ZuM)s1Vuyv76^oeJ0W_+Xh{U%2}G}<6&UrK!2o_f7#xXq z0ietC23W%pgumt~A_(BOhPxnsp}zrP2>?I(o%&lw4~!paivWNB2O@w*+~B|Ef8+vk zK_JkZ_?s)}ME@oKUVAVY1qKmLPr^Y`uk0#cHJ(+-(Yx`k4N8x(u02WSvX(A#fv zRh^6k47>)i>t27?PF_a-_SkipEo!XUPA=jkIysbQZXL>~s?Ors{-DV<-Su)&_1jm) zqr8!Z5zqY###!H3W=zns;39b$@wq7WQKaL?Cu0;@LpMxnvD}2-JCQ94y!#UGhcs5dfH zmJv`X6#{?BehyTu4!=(CqkP>INJe^vx|-LF52f!wtq1E0Kh z&aUa0UkXs-gi3nfyD1l1eM%U6iXRFDo4nZl#iZpU-h5PBOx%@ji&~{8;eNgq)f|1fr(>toYHuga|gp(=ZC-W(L0p zJ16r%k+|<-n2SDjw0N7wnHX3MMKcLQyZNMVc?|;<+D05?u!IJycZy!IrK=9DqlNhx+~maP#JPXc{=)0fHY`ua!!G6jhmmE=SC^+c2I{B)GBRh zYT0n;V}>mQf@Q`zadzruq#9*4Df@GGA8Rd?DmOnpj#hw>Zo`SOVMN3_@22$|Kj}Z6 zRk&qh|Lr6q+NRrN51HQ9en|P=(2RdhCU*aG?})WvSZ!wC53$pe(EEOxrrOJaRnbC>+OkiSQQn}^p@$gNJ| zNz9oTmUqU~_AG#eeD|Bj#8Pe@Lv7yAfw7{yhVIt}ju)-Ssmt1^&>!Yk34+3f8y2FY z&V_No8#K(gV%$Vt7d|KLbA*OuhdhG;UEVrcne6rL zLhajbF+=rsR$UML!i6KuQGpbVo96c(+{HCA`F@ETuVQ?id8%H1iFodI{H8I^*M)V@ zyfRgZ*z9&awsh_)M(ie4!gxkckbIDJQ!*>>)ND;lmENPqjNk``Za2t!8EFR=O8hK5L*{IG3ilhN`-fF*Fa z!pT4z(^LcZxnDCOm0W+?*+?nwXou!N{IOf_RT&orRHd}L&1 zgBX)aVwkVDSaz)DUMhcmcsD=%46`d!^#Q#}&evx=DnVfsdCi@wGmivQr-?YfWna}7 zy}Q$rSKaC35sr!wZOQj_h!3Q}dwQZ|6!!W=UQrvR7IZ;qr{s|T%9fMvX>Swu8-|JD z;BfJe0o{z@Gh2zCD=v8L#NmOUT&^{#!alIfjOE%wHwM(G^rwH<=^(l6+l~=l@*D=c zZ*tbl5+9n4t}Kt^VaBfG#ynu7{LvsB8396L zthwDMoyu=<&s}e3q1BW=TYFv8Ar&Sf2#sKGCwzl_R|h-!$+Z$o%?=7lo6M!%w)Wr? zf(|3?Z&Z-M^^Je{nPSp=W%s>C+#ODNg$HF$c zQq+kz`jsXr`yS=>o6hK&1r}g;7tdk6GphH4s(x+~PFhF$8HLdei`lN7*qTtf;%8SQ z+>{g!oE!tQJ@pgb9DA9FAHCmG$Kv>wq^vwSCzc%XAKQQ4!RHn(-HdiIB)H90S+a?> zBzfTwpC|Q@k=6O-duCq3yyaf;r)dM+j%>mwb}7`WbRSQ&%^HF4^9&qaBNYP8l47Vj zI`EhxQfG;eP!Ezn>~dQ}k5*A}v2<_N#oEfHm+64|qL1kJ5!4r&^uZng;l%|3(;MQX z+<~Vlf%1R(^L<~LD7V`P1nGQlb=8|Y--x&9 za!}sEZ#o}~pVn1$v1Ubm+T?Ix!NrgZ8bXSay6) zndEz|X)La8Q4fDIKlOjr&*kswI~BKxH#+ZOWrxqWvKR_R zF_-QX*fZLS=*mPNzA5Hh4@{y3GRf1)n1P_29b2}0(F*4b24$@Eyk=4FP&mrLyy;9Om=s3N z8a#iCCcPt(dh^s<*cPly1Z^`HlYLEY%wX72)XbkJ2dd{9roE)_^3N{zJ-i34~iJxS1FH#B9 z+}mH{mvdfi*LTm2wv%cVQped<>WbTly>n|=l12K{` zA3+ZX=GJ3!FN~KbvS@I3%#mstCDcycDQ$RaN11P4+q?8UcCWn8U0hKFRN2w6_-23k zStAPYdMz|1^+&+*TG#C-mP{33# zYcnTgaDy$icy2Z7%GKP0VHXtDDci)Wsw763;wciJSCAaW!hJi9GHz3cv5|0wbt_sCeg6_&CP0%)hM~=!oSBBqZN6HwD^=akuIO?1j z#Lq(qvu<14WJ;<2Y+7hbkjY_5nSDGqIi}z~TuG#{qxpzXagL``7?giM+2*xHc-K3Y zB!uMFn)Jm+1=Ys^6t$)Lp5WCUR%6(u+1j4jlT#c+IU})mC|w^g_5D3XwSH@U5llV7 z0wTM#`EHWxahNQY66tuVDjT(xSA7CE`a!ca3+k=cD&)w}2h7-$AE&N=p?Ww)7xpTE zxYVyc6;SFl!hegbh9-Y*UPxvtx+~SE1@G1*CFNUs=a`C&j%a;fZ=-ZE?zl^mi$j0c zA$;-G;5qxHuSGwYds=9-KJR*?0McT{2i^e`-Rad^nWmt`{BO*Yc0R?CGTv-dWR_3g zCf7PmK@`JOzFb1al3txZOnH`#6?VJq&x-VDVnP0;#p$h5ucWaV|-r8L+E`6Wb?*vq8 z)3we9;w*MHgeOQmPx!tq`>8Q)g9&S9jiWP!;iFkZDuW^;&T!Q=YwdduB5O5|(Eb&( zd$-f7*%PWN@v(pQYl!s#)q(@jK^CtXX}SY)_MTCYOa>X(zB#%!W(XJ?u?e(lCoq&4 z<6rT5b2Mf&)MQ{zK{Lm8_knp@DNUd>Fy+#Na!`3nc?s3MNyLv8%2N3;zg+3`7=Ej; z>LCwTY-IVJFDIna_otryfKN#-Sg^&|$ch8op zP%6?ES2GXZ^`#V49!)xQ(uum@VA_YY(uTR+uBATL>aTTKPWVE6a?fDz7(Yh35VKy? z3}BR!{PTb9gG$_peG`T_>zLKS-N~KA3t1EANqY?6Q(=3xhJ9K7clz4JL$GIR&siLL z?yl{5cmm&4-J*|t{o&`W^ffN*TOn#!>U-01UN{`hIk09odCJLJK#y=Q80gTF`JwASQxpEe->hUP;qE+WDd4p z7Gr;>yx2?SAjfSe9<@t+Bp;RpYW4X`V_D;xBtE<0K1G@saWs6q>UU=t^!no}_>Iinm)YFKExv!k-ow+$KF%`=a zdVt(Pn(@0n6|8IQ@RI0$KF=<_IAX3*R)v2uI-bF*X2b1OifNs$wqW{vJKWbwlKoY4 zG1hl+2u$q1d%g&G(swmgzeY?iYQZ)Xeurku8u`4hKBfQf`B9}`)gCj&47fO8PW>Qtv!r7xedF7y$4{W8rJKQhRt-UA0WMzLP zaMwkMyO?QG9^_wqY&=FX56bIfelo*lH2>h)`d57NEn*qQj=q0@C=xqx9pGRqQ0 zy$F%f{qp#S`tBc|TN?J7VDCV5n!Ai!bwoX)YV@;5RW|%LA>j*6Zv~D}@4R9RPCDqu z?hp3NMojB|W+<022e_!^ugD+d*NQsqzc>&tD4$2uGk{?w;|CcSoTj(ZDR4Gh%1o-tnl`0H9<4tAocBJc2lH{x z4MXUHpl~nCccuGp=hf58G;S2R9&b4mF?@BqoihjG>8-Hk$$EI-x&g)dll$I+hKO)> zg8SuGiyj7k|X1Abb7Be}SG-mVTd+e$%5g_d8Gf>X1`1%fX^(22` z?)c0_gp8GowL9YDlHKe1TC%n@drc)qHFK$6wbyl#&nN z&kbzC4A}qdJ@0=kH86kpTt6AAt|(jjne`5C=UZKtalF;}!(CP*g~OuI((tJIH0q$y z^*Z-m<`5|XngY8Qd__z(3ELd!5|v+7iWQo%=8bGI`6#{6TywHwLU!u3Sl zU&+j+xMp|M8vm4KuioQsb#PA>S(Uvf>6kf6-MPPo@6=%U!hL{Ha1sB_Pairq*@0>; zq*Ope_RlkE?7@GE+xyWo$MA1$Ezh`%)w^cX{G-E^+B=bf9v%EO9(wkEzUQVMJekmT z387DH)wj)}h)Sp;Z`?0C*lJ6k6TS(qcID1>eY#Cq|II~S@B&-)T{g)Mu20s{U7LWE zIA`fI77oWX-Nu5GY!*G;)~y14Cm<@cKc8n~3uxUNVxoWive^{H#x#&X?rWcwTrZ+{ zRme_sVNuN1`!yOtM+J(axl`m1 z0|vS0R@{Hmvs3xa{qwk=Y8?g{4Qgz)8mP)V>se2ybFmj?>Ow5q6xLh34kn;MI!T|C zZD>lD|CG6K*%0=z6|=BYzA19UoJ4jdtKD~V+nh3iq61Uzp!4Q!(E$5p}- z3-9{JejX1jQmi~xey44CqhD?mAW@Xbp30^aaev=%Xi3&6;;5+&fpZSl;+#hoq<(%{ zJkU>el-Yve$!NJ0dAts*V$2xpT72DKGt1;fwIGllUZctD5Zd++sn1~h9`P2ZD#dlDs)H&&gs>n$WT?DusYJYxr$s3b zul^L7>^2&=hYfiDvHVF>k_^j!KS?DR-W$Ple6^kiUZiD&h^7EK>l~jFE$X8Vy7u-d zH_f&;iXXm*`KCHV_4T%kNqTC6|XF^r{938P4Uw*sQG*~IUawb z8asCUCy_iuc7rZWroOTz*@>>;xGdsSPkHjy9N5eid14W@p-zh)(sCg|+Pj>GzHiO&J}h&Q`y&JS`kl~Ry=sCzVBD$W5>N- zqNZU=P|CPNen7NankdBKXtC^$O3u7I6QUe2xTIPeEHiW$dO`DS&umw)mpp%ryQ!x4 z;ri}3j@%|4gP4(*W=bSp%(IbNKU-oU%!$Aa!Gx2EYCYd zA{D;4vnSEHL1x3%abQTLvH_p2@B8{L70{moSx_Hbkg)bUJis~Et*zO(&LeXawhM(_ ze{5A(9Z&Dq!FVe$D2!igd!>}NmeO<1{c-MXks|#CMLS#9$y(^rl@?l{kJ8r;6WL>7 z(Gcgdq~gIDw>q3Cnu%uk_#qpaI8i~TC<&R8Octd|vcfP6!ls}5UR&Nf*Tnlz-~FEN z`TqEPf1R6``|4acaBghRQ@hVCSyhp}GjyJC#yz=gWntyis<{s(-vjEVXKYV>sd{LGQIt6B8}k>d>3fak z>b*82pYpzf%Mz7)jqWUUVg#&bpEe2>sq?SlZP$4t#zA%bbr9bf zF|OsR!&gDP^_p>7Jv(X?C*FD8_*Jo5F`bsFi&u?fs$d2cC6107Un)>zbEr&hnNBCv z8*`~R(J+G!O;K0!!I?XkzN=1{v@|g~m;OCXohb%!rb$0gFPG4g#ATEIHZ@DC`}Z29 zYOI)!;!WIUPD|8C868c;KSA3J!?M(>I^rs?jPg|ur&+48j232D>Oq@i0*s4EJ=;P; z-DH$!cwF7-r4n`DBb1{qN+=%URBEVuTETI_f{1TOh#;HhsXeVUNA0PkBK47^pCqO_ zw90_ojsX%=KD(y5eod3wBWXdFqn?)#%`Nqp)s(A>s;Dq=N7BCx^#+5~f=WmoT}iXm z!d}+E>u$k6{wLqz-6nBMo9i;1Jx$HdU_kC&7lX>bM5q?s%@Y=0@*}v9pb)((sbJ6g=vO?TErBJ1G~^+snYYelzre^E9agE6GxMonTnB zImn+*1Y%AV0_JT6&kLPYO2cPoW~&b?ApCYWl-}+g&ogyKg0D9Uz9%<>PaSK5VQ=?B z)~f?p$=(XfUG=qoguHz#?WWFV1Q zeY`iqEjRIGlvI|w_BaIB_tRnk(c6y{?(U?V95=)-6UY1Mds%=rSr)?sv{)^VLd%;2 z&{DUVa_*Jmn^bl`EgBwK^)YK8QeGV$?2DOBqG$^xEj->9P$4(+< z7VqfToV0LUZSofEV%&@5eZW3$LGnJZh^eOrX)e(9htP*k4$}1X4#-KD(hN(<$I8Tq zjp;#6;u(Z@#fk~M`8WXFN?E{drpzJwxO7S~w+cWov9+da04VTOcrp}NYS$2%vqZq% z94Sws!fm0xKSVyN{mKx1xl}ODIJccrCW;sJV1rLNdUttxA_= z(ggQ>U5DTW(91bFoA&^^~BTq7E4CrVyA?z@p z2Z1`D%YwX`kQeA@*lYQ^V&O_ZjWM}{xl(AJFy?wv+shb04Ph>A9^!N3j?}zk%)<7& z7N!(S?rFvd4kaODq_6{6aZRF%Z1zzi88n8JNy>x&cNw_|DmH^raN%jj2w~Yw69|tj z7WUZE^N4ZiMI)Kik;ET$5OkMGV((B1g5x-s^I=aDaI$EMxb2XJ7J*{YaR>BvqCf*zdNJz*`612&OtNG-~;}`ar8C{ zU@S`yiRC&{N5+;cgp4h%^bVJdmt*^(Dsdd{vv`IzXl9lxbS18ZZlUp^5<_T7X}Maa zqa1iBfjwz?6FTDKLyR*^N)1+yRM6)Es@<0w)R-kU*Y{eOO8WX1$T z!*iUBGC`5pE^~Dywk!0qb%AKDItsuwd{E(`<|EL|LPsu`7eYbAZAYKcK_kqV z(Sd;?JQYC;oqPn2lVN!>i~{mEc`EfGd=h>k(F8OUFvCI+3gm}S`Fklhj%TK3JoDfj zj_DGdw%7J`M{$Qfl)S4k+g7kz4=sYT>gqaHYp(|WLevE30mrH1t83Xx^Z&DKH1S+G Z5Ik({+S%0|fuGWMBZc=A);?4h`7eTF&uRbw delta 88013 zcma&NbyQr-w)Ty?JA^<(AXw0bMuNM$yM^HHws1)Zfi%HAxDyEO5+Jy{yIXMk$UbM^ zyYD^kJHD4cn(FGRIjd@|?lFGPeAcgzSZ(20F#^zDGz@h4clPgHEkPW-Y@7)v*>Lp0 zqOJ^d{wHC}z7`u@pa%8W9rai2Xy}Zys-bnBYT*~xwwMtVmM zFZwT|!yLIvxD6E$M8Bnl(0wR}bZmVXXv~LkCOZqi;t37G5YBX79 zJ8vp!7)zL2|Md&+*^6JcWrV%w3v)+~cCo|$-51wd`rFA?zJ!-PsBJ!a+;lxa%C7Bn z>0w2{-QkV0sNl{wtbJ_%dfSf6T5-G{-281bNo7%c@t&P|EvL_^2e=gpM_{}>NrDf+C2udO|(&^p_Mwgm#LpuZ%_3Plr%;kHd=UvLewS<^@=gS z(S%24si(*>!r#NFuqO*@lWSm^N=-j`RT)VC4-2+6XvFOIb6J6$cT-iFM`Qm z=S=D9UNm2G`Lk?|TSJ!`^V@lnv|5;A&Qi+xg(QB8U-R;`0xo?9b$GZ7a3Ui2ov*}p zUu`~>iH7*tikvh^mxpWuq@L*^D99?PaZxGn4cp&`Q#qVaZQ}j4MP5ZE5`U4)svB>$k%BLh_U%1=`dvzt2yBcHxcoNgBpvy-Wej!N>x z?G}zrSgC~Lc3-o)Dn;h|jZ<$%W8ZOX;e zxnuU?oT`JAQmXFG2M9c;k9CXa+)vy;=-IN5gs!rcJjiRZfT7B)p=&xD94xQ&?>N4k z&?FAcq?2(Pr5%5)k!6p!z<`hcfE{&$a5GzX4HMELh{QnoA+NONqQx@60*cs`=zD$f z<@AQq_P$!8$d5i5u0no2A74n2AYaWbf^da;&o_xgOhb#m2Dm%#o1T?npG}9xn@EGr z>63SZQR494!WxTKzTrTz$~$0tErm69gyV?LCu>ArUniLMYis%k0YyVY=xhHIRckPV zm-Z55+m7&8dL#Nf)-)Setgl1SRNE)Rmpu3RG=$MXC1s*Cwxiismuhh(7-JcGegsW- zYr69A)K)jM6hK!j?-%VC5}&Xwop5bZ_IKRzLS@wXsDjjg2Ewgd38fpfL^tec;NxT= z#Z-W|qi>zl)2bP#&3f*P6n2Nq6da&l#N8!+1TN<)bNKq%8Z4I=exrmD&U5JQDm0Bq zC%XF5;kUC1;T{gJSw%hGemBC4vX2_bMX{Wac2Yn&S_O7Wl2ZGvcwCtDlPiuDI%os5 z5uL74dDOcDyTTDr5PmFu(g}(l_*zGizLR~5o-c^ExR>&mB#atXB!dCp!yOhwx0$@J?JwNlDJw>Yi4t z#AH4xA9h}36;kCtP3hY&OYnJ2`t8nWu-H)f{xZ-;rfd5^YXR$2OI*_VZo!WZ3wI(2 zW_J>`$_D*`{`}I z?ruBOLgwmMDHdM*M%;je<4BhiyNDE zf(QDOMha>63$Q;pc}Udpbl2_Ynl2PomAsX%wV8_IrFrdwB2Zk{e&KjfANr$Z%>zJ0 zkeJebTYMAHd_;-#aKSdwSlDpNME2QWwu^oy+-U@6hc1nqmWF$zu$Py6{Lu$ep>{Gi zXgUA1e6r)Tz%~%wKsDOL40ErfW%+4KhaYg#?@EWTj7|4Q+&k+}?5``}A!WOM*V%0f zC^aWB=l2u;Z9=7fv4VO$CY+3kUzp2?@v?1%*oEBQAO+v1qIqu8GHHMHwBsDnB$7+! z1ZnPAZev*8)2R;I@sZwE`$I#DeWi>m)hEWd<`+g+rA(X8-`|T(FrgZs)-Qd5fO)_q z0}pGu5s$0Pke$2)G3Ix|bfXrQ&Us11xGkNxrTEq6H;c@u=zVL)G-s3aZl1JnGhUyq zkhtFv!_>d5j<>xWAyK&`(F~a}J^7R?g%MW3O6ZB#;e-Q1=!oyNy1A*h!HJE144jBV zWB%9#EWSI5MXjHxSRmX<*O&0%?$ZafyWaysTu$HDD1(1WWxf%FbG!4^aR2%=afog= zt+sU%*Y?4ZkM0yGEdgPx&A*I3LR-fWJBU5)3MQpX!A#+^JjxKIW8Q z*tb7|LfWEQV%*!(QyXGMi?FhIwOo?uPGEkp$eWms3gwN5tXXr-Z3e~NT4i7}TZ~m1 zV1-k9U#yE#tmiDBofU`D)xJ`{l_Rr?O7CD5{6PpN(@Njy!I#vyI%lWndzp2j+CO17 z`+0~W{Bwy8!d|`$?h)WtR605g3`e~Tb0+_~INa*n|{7>NB(vWgiD$=R=Da(++G^XH;Y0rPHeBbuvqXg9C&WV@~PdLr&tG1H+hx?e` zFlKLzz27GwKpepiM+#8*eb4Y1lF(b2Q#@F4EEbgFQ~GnDUP0n=p#h*M?=14&u*WJw zYb2{5JsI&|OK4l^ET-Xf`o0o#&ANG?^f2J`Udm?_lVhQu#qg?~V|%^Fh4hV!prjUD z1X&tZ$384Iw++vib2SgQ7QSl+@8XKRM=t==quuTvOu^^&VjFJ^;p)T{pH3v5xHCdX ziGHxv82MtYT3?>8Lkcjx$$-{+zlMYoqY1KF;5*v~Ddy+OhpUDe9tM2h6zjif%oy(2 z78_aZb9teCVr#VMh4c>WQ}5{Cd~idr z9#-@^QfP3+omfc1>6XtMfY(yFV=lQ)@IXCVg0tb$r4H|>SlW;8uj|ojd!-lS-Q9wOj{Apuh@o=($xj8`WJP;O64sIwfITbV= z4IT7%Hy0ZV7lZ?3?`CWJ&*kwzm4svfPBswxUmF6kNe>5&QNV;MiTI!X@4#y zKR+7lzv&9h#moIKx*F7zgU&0FAa5st%aw_+A;54to8ZN02nYp|PAgHWA?W6yXB$!%3>kc7WA3i&Q#j&(l-u^0+|JG~ule823=IuOLZ7Pt1X z@iY3X$Q*l6!Wbu$8L0f0hFv?G+_gd zK)}=pk^gLVix+UU&b=%bizY!VhvY2ta>I*s?l+=G2s$dWA9@h;+`HQ?ABFL}{t@>+ zL>2k4*6SPPP5=RcY0vCJO5>QjljZiCj!4wzprb<(hrCQxDAka1m|Y@u@?0p5Xx)h7 zMo5+Ty7?E2a#QeEh*=QNEZTLnbJBj4Q+AS#?x0RVEWq3GT_w+;S!-62epH`RVd-1$46sJTnzv%KeM^w4T*Tsm2K8Xk z5%Yh=#R?HQGR`?gp7FI`$}|wDZ!jIeP$=J3wUjKF^b@-;o15$zUzHrqPBn|jblibp zU4!|o4N6bW(D@j9>B&fG@x9VyCDm)ESfw--9X(X?<53FB#|uM3TQG@77__rlYMipS z{o<$}0Ykg~^~w$(9b36JYHYgeE$u@l?Ft1?*+X9GLOl+f-=-5sZ0z92i7H{3;?iwD2Cj`X6|*ALsd3czmTwY7e2uyW~VDQ1dwiUC^W5ACdNTgK4OoJ!d z$AQJD#x-ORQPA947Jq7yMl&~ zpNU`fhReXX+ig8gf4IaDKuTN{rLxO5&H9SKIq`AwXmj4*C3!!wXBRdhgjwJtaB87H4Fe~ z9JtJK=qmQapTDJyGUf~MPea5scI+_d33~G7WA=7UrgKf!$r@qIMH@@~%+(w9(>?t*79PStB5@NBmA zFH>^OC{kocn*J?0uxVFWRYfu9BqeGH>_=JMPrJf+O-aLm3UaT}JO3x7pP8vZU3A-z z+XZsPcPry=+867CUkGDC=<99m5*Z+&)ZlD#<`X5D2(61p?b1MP9||OFe%ye4*m~EQ zhK^u<5z~k)BVkw~dA%Gop7g3t2GK|8~oO44_?J?H@zj9e)xEwyIUD*ML^gRPVPpKsSqdm(`G?F9|B(Fqr zx4i31Uosa}jLVY7F}c_%Xl?`l5(qB2RQ zgISnmy8T!atnyWBnRjl7-EcbP!fVqF-IewA;rDw*ZEC8e15)1zJ|nS-zMgDF8--+v zCp?w>l$UPNv$eZxL5Yt1A(>Sz%gbGUjQ9?ENnP_gs$POv2-2OVn0PN*npFRR(iHVUnmcq8RtCj-t0&W z2^b-p!WKQUPkjTqFsWj4d0>*rQK$^}j;yw}yrDR4k@_VdjEJ2F1V?kXshA_CxvQ-Qd zT4RN$%Ow*&;#K_})NgTxV@XKOhH&q#Tx@B39XrDN`X?;Eo(VvvqtgA3+P)38cA7WTsSk~gcivNf&M0oNC=W??v-u-CQ2 z6wFhIusUoCGpJv7slxv9{c^V;Y+$Ge4=URHQNsK+uG2qSzg=z)-z}`9P5@hA$BC=p zRb|GRVqRkjP~*smqIK|bssl(?;~tC{-``O4PZUqKQogaK1`H4j-jiSLwe#=2e_!m1 zyqYMzBYJu5a>wubRRXst(%f2jpHjjqy8j~@oA_v?>em3~GPkJmv!oz|w@VuqaQuZX z4?5~kn|3Yaxe;0Ri9xHFlF6^L&q*SgyoXFHR=em0K;N2qklK+Zuu{IqH`5-K58>I8 zliYGxz2}$Wt^n?Qxl}v$GX3VN{1JK01wUaIyly~iPSR9B;jWO1&A+U$qv>wBqM4dT zP>wWd***Fx>Ud0SP+)mR!kC2gRswhVW%1aW$Ao|kE^Ed#Vy1Glu95#+7;axz zED=oA+mZ~gfk84)lLV05k2E9XfNmB-{uV6vnf3L_HunHdBWqryZHzCB<$HQr$ch0A z>$^=uE3RT6yn#|4>h2(t42Y)6qGK^ksl;@uYDR;^7Zagd6Gx!T^yd(z{R^O>!(WoG+$j@ zq`ql^ukd*tWtkRWXOPg~TLlF08^5Tycd&BI?Pq}Ti{L{IdKZ~X!(C7Q(44KtURpl3 zm#E1E1U(JTAqr{H199#auW_%u97Bam%)s9ghu#}EI9tqFED%D@(aiBNDG!u<`V4r8 z@#WhUDN6@Taul)Enwy$cI2`iHgNA%b=eD~(YeTMgz#E>gK^O&&Qspqqg|{ z0(+j)gUHnNJeZuM>RVz(bPh?ar=sIC3M*FMkCOv-KX=nN>f_I+Gtg`4iXs zwC9&ICD$zlF%zBf*t$85&laZ1AVRD|GTYHc=7ugUJf3gI(9?DhQ8TVx;w@=H+}s5L zO$DaMa;UZS>!)5kmcR>j_LU{en`lG6=90+OOAco9-TG@Kuipy2_uIEICt01FG~W&x zRa~TzDMH~gu11@Q{N4n;)5*AMygAxtFa;(A*WnG+1Ug^M&dcUn8W^pLk$@Fy~_#ut68-Vlc_c& zI{dlXpQ;?s7=G*(Z<3U2fKk-jq)jgcY`>5Ro$K38$>4RA+Z8N__45111>xS=*Xn3J z;wwH?-N2kYl0WflW=toF&v5=Yymqo|J((KU0SkS6drK>m6gV?fQ@kmG7zncrVC3}( ztF8=Z`r1mB?)pihwtU`5-f#Py<1VeqsU~A6KbQS;n9Z15V~KH9Bmpjvaz(sH&G&Rg z>BqWGfte2{4uw?UX*g5#_Urn`XpYeSv8ISpKW`NOaxwO<3^*=6pX;gp=^7i(U;Qo8niK{taD#`X2F!iq_~a0 zu%_j#;Tsh30SL-{vinh_C{i9rblT0AS=Rc=eGijjTKKzhXS5VQ_v*fiC3^3flS_f3 zljQtaUD2;jNc5aW+R0{_U?81!bMshWsiuuQep!*fm!qej{&y5}k3xEtWZI;3DF99T zH^79QW|g353{MN~7r-X?3n%}F769h_BL@`l7AU*KEnOj>&7sSoU z!pX)9;^g6A;d*B4|IPB?KLq^$GnI?`Szh4!kEzcBz`v&g%=Neg}!Ex?@rIrk6E z|6kJntv>uql=zRS&(Z#CDu`9g!PdbUS|P;`{GW7&e`*nse`pB*)F1vSA^Z=`;UBuh z|4mx>Z#h8_YRF7W{AUe+@9N*$0Vf+6^6$#5zRq)H7T15eJToJt6mPX2dsg=Ax|kp% z%e?Al`xi>%FFGP?cuW+E-K~O)VE6%;w_=X8yozU_ScLFT>FI*4_HT6bS$o%Z;W@k> z_Ro+rQKQvKxX-DFiw`y?em>)8-7my9;WdOOETI-ZrC7dvF-@xxqGBmBryqS(x%S!i*o zgI3M$I<#cU?nqE`;%7v9@A!eAcInrngpvlwZ$$Q0dbPz0(Io^wq7IIo%{A->g@3f@ zqP;GDuVWfDtvaq_nrC#X5*-0Y1}_F=gb_M_S87M{Y8k>^<$CW*UBZs52Ogs1%qt;d zxFei>NY-^BtZg)(QwREDO&vLWdH8R4tou-llMid=-+z^DGbz5QqClwMPpu$!gf!Gd zvBqb*h|)hD%5}_qRmOl+ZeVaaxVSVT`XyRF%{Ze(D6_;zP021UJJxNUhkXMI(!u22 zI@Ua?a-6A_Tx6wTE*js-G+ew5W11|2K1U%rjKwocPEp$*L8R2CB(al&!v__99F?_o z0gZ6cRp#{t^}I?`Q>t_R-8;&$tEE7*U7GsB^p~Q&2_wVO20LQGgZY#b_fU-HInTpY zf~e2Em6s*+%X4m#?_Scza(Mt~y5dOb83d&|{xCK~?@PVJ;hRZpAFIB@p3QZY5;ivs zQX2~@^ec+)0+D=ZwXXF`jX(>ky|fbH+n zbMG7|tb&pzptMZf_1=`GSC6%X>U5-q#w<#<_h?}7gS3#fS6|vU~lP`l_d?LtJfaX#Bx`iM|Fv}Plxj1aw~ne4Ofah&}SL&Sx#pc@r!9; zPQW*D)$84AAD_MDD^-__$IBaH)<_zi+_;iF{pB9xt%XiHEx96BDpN2@?wc?!nc${7 zd{-`66b~xZw%V2;r$?fi@vs@k5STOiMh5Ek)4e2DsUAX{Ff8N@chPwCx>l+gmFcZNZR5W>@GzpiWmhaSI z;6ulyveIwl#YNi3!FO#nXhD=15Z>6-_i!IS1~$iuDpTe4ZEgq$;(K9Rz?Uz!hhLxb z%OX}9492rnwp{8iFtMx4tgsEmTYuv`>)*y+5^RIPa+?!f1Ex@n=pzEOFUsvHnyy3N zOr31jYBvTB-H$Uj2Lj3jcr`OD=>peIq8)8+-BcL#KG7jz2gtMrG_d;GC*O}ngG7A8 zzztWDTPl&2$b}aIhlOTZwA6%}b@9pC_oWm6mxhfG4U2a7 zK8&Z6!XKLUf%~r-jX|=F65M+Z{9905dbxs6@A_uNDLMO=7>WobvMfb|13S}+m1WN= zY+`$uX}pKcbr=AU=;vR@hA3j22Jr|N8bp+`co`HpNFO*fy|wb#R9}YUAqrk6Di#f= zKx>8XkBuIandF+HoN}=X9laXsXAc|~*;9_dVG=7V0GlCUQ(zRyoP~koHx5%Nhci?; zenw&{hTd{H56R{xVfhzNvEd5W35T5)J_{aZIv99iR~%iUNH?EyO;a6i)K&8fX`HjN zylo!1acHp4{?J!nWWNuxb5O%3VNSSG zz1W>21WZ}Vzl_CWN+hSQ*v%PYiTG+2tjTv($!h3_NEuLNGm&DwHkyb{{;qTX;RSob z1~jQtd`Tg>5$=7U2nC6&=7-Hb6yq^0V^NJ4Ft6`dVDbVOMw8juYpxR`*(c%Uj|38l z_%K5i;m7;T)(`9Zkv&f4N7Lo3f0d?+Slx#sZ~(?8jTqy76z2!^7t53l^M3fYG0yOj z0ioPA@tm-xsYraw?~bfju5;K)M_lx9N9lX6Gj?jvdg+*l25@)Z-nhl93#<@hw9X<= z!%x?I%CB4|kG`8SQKWq;^kkGzpFX3>@Q&K0pQ_o}m8HcB4j}lpGVU9l(ssd~8m)kn zEdXRdh>zNML@_w-4_x1T=L|AqWh3i>LQP?^ly6nOt$5>xjAe4+{E#9#V-xpC7x%y^ z5v6t6{I2JA_#4~Botmv^f447cvkJi{kkP%+lvTc!CPd%L?(E$w4X#MHV}ZnmbrTUy zVcs(Dw5-iETUjP1Pc^ZnxG_-}iL-V>+uA$OT=<1hfu*c7?vJ=9TGM(aLR$PPQAHhHf&gIf zyy-Va5F?f=K)kC^-^w(A4Wc`Jblx+efkooA^LUu)#K++P` zb&#{ilDYQ#1;aDw(Vzu@xs`J#%rOju#BX|Bz0~zk< zT1juCWQe(8u7V57BEN3kMFuUiLWkXPSDB|x?FH%L#k$k!(}<($^w|ttwJj^_2u7>Fdlg+&kNoUf5SNs8?Z(Bo>o6}6p*G?rb) z9;du)kfV2HfODPUaH_;f`1}jG2}jSU%?2f;Nt+7n;|0QSa*UvE$bJM^QaZFrBAe^+ z{AISorquOMUjvUQ-?8ykxVh^d#&ONB3fLrI-8QddjNYM&aal>@MmfQNn_jaWA-F_d z(@{%&?r?rev-$m%GeR^j*Vf&8Oj*~Ig}_T-=R+@)cmjuby19=p$jl}}%RWj1riaItZ-8Gqel0{7NE_ru+W_QFv|TFOZt_8*-0&iH_@ zI~IFca+nA%V$4$tkX|T%Qk1XKn9@lAUiFS}N!O%?d!{^oawU=&`$p_oAfwqPqZq|7Km zlSCRG5{`x0g#p#<5dB`~GjoK+yy4{4TE37d3c6CG(xAZ&)D904bu4kC1B36jE{SGP z;-mVYsD0yrB?gIV;gR?Bw(9(r;|xZj77=`9TMk8nLH)XMM9^cOE}`n`a!gNF25C`z zPkkH`M{RO_G_Cl+(iob~r*21}wPY*5gR@p;&tRPBBHgLGj&%Q>=-%3IV_CEi5gSFVEZtMY3* z9hTlbm9_TRJ<7yCBCynq4s`VDWwGJw8y8Y;bOKxkQjoI5{rn!(;stuG*UWr!Q4`f$hbEuw3`mB7#S-^1_+`8mItbsPr}OU{37!3%xjPB+*}okZgNh^q>qgVU}F`4sQb^m#Ba8)cSHOTASm+7u3R z^|zy!8^SuDf{-P}Xs154k6dAo>bTLr!1u(rnrWu|nflwMee@JpRxp$9l?1BG!V0c+ z?q>a{V-fCeavQYqne2(gi?({IB20OD4YeW3ZwLdRuKdKawVx{2v>xr{(WWO*4G@1pGjefid;Lakc?#McdFc%WpCt@eH5F{+g< zML1vHi`XkAf%bmpF);)Zz05~CESm6g{tgUcN0h3=*7GEF`lyu;4kmS!A)9`36iXB- zcG?jBsbFhl+%8^ek7z0=f2ak~6>B5F;>x)=CnA%bh*?@MU(qTE`ZNTWvG6es zWt!B^gvu{V5Bs!7|D;UB2)_7|^N-$7QaeM3gUdXX$ zwnB_V6z22qKU8oyt(8?()RW<{9p2GWE>Z~_A!DG5rmgwm#c0%2+ke_Yo=qA5B?v(8 zB#8)~g@^xT4dDd;k%Nf;Lk{Bn%Uc1(p&)}EkO@+Nxj0$4pWPo2Hcl4yXMY74!p_3Q z26?vf@UU=k|7G^*5yXLdy}^a$e3pb5pmhS6h|ih~CnuCfh!NVygbvja5(54yi2T2p zGyaD-@(%&!pQa5i4iM+x{)&GJD9@e$W#;&|fI{?_Y2%;fjK36=KgNp$DK~h`zwPW` zc6Q!>i6)1C3>QCfTaL>!mEekr*1d!_=45FJ^_;L|$Qd*WzxV}6AF-(Gnmcp2m6Ql z;#U7B{PzzYB%i9OE8yrJSWQ0cC{baMUaKU+m9Mgkgiy<*$N=YH8a)Pcg4ah15ezl5 zsH$N%I;{64qj|UxwvoYGLUeK;Dk;&5(T?zJlrY*+`_-UKw_l_(hDWA%Ib=>_iogpW zfKDu`Cj4T}g4xrxIF3r8jqfJPrek%^QP9Z(-19WVS)Ug>aIqsRkLf9!x z3vB8&IvC5A`r?cc-XYE-$nFrdu>K_@RPGU>4&h>d+e-uN$c)YP!pEt&v^wYE%YC*_x2XQ3LqQ9F`0BCSuioc zn76q@u(is8&SGX?)cCN((PH4Kt`Pf#(i2u*>u$2Y*hrF^GfJ)xXUjqn0l~#OOOOFh zlWI$godIrvFK_Ma6NWQI`mhH)3`?caT!I)`6-5 z3aWhTufN}*A;|^k9!!P5Px7gKXGYB%Kb!UIb39{9t&Z?kI2{j@u+ku4h7{8y{x-LW zZh`i2I>S@7|+74rUq1U{L4tHc`owCiLl z%{wNN@16Jd#E0czWAsq~+)DUrf@-h>8Bqck9m?H|hL;%cR{qc( z1y$AAnW(*bm{_TpcUQHj>c=cR|6fA#qt3FoLk}!R3r@r^N|w9>NjaN9qNA52wt?aM zG;0z_sOUs2i_LC($5W~hK@7OmWO|mD2n$QSFg+CB-fSems^kX{hK(;$)^A*9Cd%0r zulchFHGpB(#DY;J2*avK0D&juM~1@Iv)c=nBlKRI(jX04GMVqQk7XcQ z#=3B>wr~Thq%iLfioW5cg*X>*;^!5tV(Zl-<)O+D`i?MqYzWTjk}vEknW$Q0Ny5tE z>rzB&XcG*r+Px_dgVA%{Qp?**n_LGGyPAwR`aFm!7A5bKZC}zqQgye15bY7QaVm(a z_RTv<8SjhHh+3>qgEc$S5wx^EN2WTDKH!xbf-hs8^@7h=CWBj!DAQnL^v_f?VbV5! z--$4rzB%E&VxGV&A*GV5$n(XW`Ti{qcBWz_ol?set#hapfI8WJD${HfuM~JAzef6T z_m?5%dd2EuWoo;9g57FPHWhw(j-OiI32Ah(`b?L+7k&*ZFcs?kq1z+=Ue;)*ed zszZumWjmNwCFcJ9Ci^nMUCF{tAfNB3hGJ282lni3RAb-J!+8x>YdzDxl+VR4_7|K8 zGxd7Y*eiw_M4#VLP}E$0sLq~gnO+&UgUSg2@tx!_x9 zA^3zD0AgeFw)g7nA!s>m(Y6%kO>DSItF%olhYG>p+MRN$u(XGpS<^Zh;bYu{uJ03b zV~$dPdf*dhs0$bf?yKYAk&Fnl2BMy_oKc6y#%#dx<+Y?R+7zY3e^0QuV)vn)+l+$e z^0$CnB(r5g3#CRVkra_l5UtpV<09G2{FS>=w6qy=@DDB5pYouf;%vd8l#W#HE zZ%|b#EcVPZH4sgtF*7~E!yltNxccoMbHzvxcWxM}Fprk9r!|wh1jFm~?b%IexzbSJjJJVlyq$)`>X;CXgblUkX1}Lf7E1=Wo-Ts*LW6xgqkuX;{b@r^4BHOjW z!gWoVC+5v{B1g!D{(EHG-j>|u*;8@BZsF=vKgxT(99L`CakKmKL;LMpeVXxv%lbDu zhaY*S@nD`FoqPvvGt+t4`dUmOnJtEpOp7X5jKC!AH)5K`WR%+n2|9O+2m7UsB*4ZI zHQ_)#)@Ordl!4R_3<%^6yS}p<0_Hu#4aExa>Z=-q->^Z=tXpxCwyg=;>T{$+i5`Q& z8QW2x))IKlsO@|z=JytesGw%z&(Dj{UDOmLgR39>?{Hd@f>L9?WSK?PvKZ$u2mo5s z@g2Ku*BxR~CxNH0ZkX1Qx_z0~S- zKM#~7t$En8uK7LQI{M^uW07}I&_Gl=j69oZcnvu!L3&3d6~R2Zj@KCT;_U~&49 zLb>$3)o)TTrGR49U!cx|*&?U^R%Wab?Ywh!-UEu+(Y54W7&?TDf|)mcy8(y~rM3*> zb>+TJXY71!4Mi9;cj3D^jN57qI(Hop*B-HE55W%J0|Ihv(<=aE+kr?Z>>;qn)ojH8t>zsHKlhXNj^(I=>=Z>&}aW?scM~Q z>xvFmtFPZAso{XuOpT#35fb2>w$z!}{+m_6E<)%d4|Sjon1e2o{u4P~6aBOea;luD zbhQC|EfZord5u9Qd2Elw;b~sWIjy~h+Z;>T&%eA_ z-qH#!Sg>$aVrv*I9Y#-uizHSE1!RtQeRKLKLT5@6WwO5r#{geD%S8_OMjXIK6q8=O zMg8@nic%Kd#91GQ5(O%);5a?{eWcD;NEd%Ic843GcDoLx!xcUJAM8V1AXeotZ_{wP$c_G;*hn}vB-#dqv&`n9b+&u+c$ znz1p=Jg%?3%q%8ga~4RK;JlZTg6CxmE|7*gQ*uH~(xxE?A5%^duT}(%$2@)4T^iJR zYt^yzySjWXegaD4h&b@*@`z2jGBjT52t21xa8rfkLJ1X)|1QTrv&#SCFD|w}{Pp@j z`RiZS@PGQ=IeGu`<#R$ioE*tivjfP=KpU) zKi8ky{@;b+XDZ`j|HEhk&sO&T)%|C6Al5&1`@gH;kmtJnGcf({y8ZLAGo%#$k45i) z7PtS&X}oM8uD|{9|2EP8g=7EZw14v3KMUsnyS9_0VYfdAiBa#qQ|O!t3y5Bgc! zkoa$}y&flo%i!;)AGo-y5M*A!!g29HsbtgPxOk!Mvc#}#RkN}gux~+}T~&qwrZaCp8PAZ~Up7T)KcXE+9N^0Kjj|0^nl9U3g356e--r0^aN`|sN>s3%Rn1Bcu&`WEW)))8|5_O|Q1d1Fe@Ef2a!^5rgM;u?d8*ODp+Ww( zPv}+EYuLd(uaZvN7Y>%aDo581?l~Emfj%58xXQz*6ZSd&TN8=r_*H?X>aeg7=xH56 z)t(tFBP@49>>eBwlsLK?IR4iNXBXTVp9;Rz6Uc)@Ic@Ry}8!Ix(o`Fdtoxrn?*qTs=PNF4un7JQD;D52VlD zB{eUNj5m#$L)pSpMBc4lqCjxoD&v51v$J8~-~xnM+(9w;AJYxd!zw}_`=cew;oY3W z+7A(*+JPA7pdegqh!xvfU;$h$GJV4goUlF&PB|z-2?qti5iSt!iMk^V0d~w-E0I?? z^kpVWZ8)FVs9gI?{#4_5&4_Tf#|sqW5H?t0I5^)DpaT}qU73yq!4_K?_EkxyJ2sPO zTMdi?4+4^e=e-u1qzMy3he%9t=iuO{m$usjSb)cOf_J8fb?rEsFqj44i9SMWtm{P% zVM1Hvhej^~#y>-dQH7Wyfb$rKh14rs0N;lF@^LW(+=aRo;Ar6yHv4!KyY7)3ZWmw4 zoe(rXD{_cCq}{p?4dWG|!oE9dKfPL=o9SFUXnqWRV|=+q)H=`R;j}VR6VBTpOqlbu z#h+O5XjTE-14Ji^smf?c%7tzo$3Gp$#f3D&H_g=Xz}lwr3&WuF0)yBq zKAtBx$Nc4O6|MW%QYAsnh~y`4XOF!pA$vw#jgQQ5KU?WSP*0Zo)K{^`Lg7fBzPXBl zuyM{#5O0C0yNsA8p`@pwGeG0^Nt0&Z)aI^d_?me2X&rgK-B#eyf?s+X@stgT@g&@& z;>oCp<#+k4MqqNM{=wsPaR7`E5EUHKycwJ`E4*+ZeAIft_FgCP?ZiDH25jZ690ZvC z0br*x4^Z5q9bw%0b@PkE20pF(ByvOyc5@K+R~FxUcjFmF}>MeSDXWNd_$ zm^-`MU}5a%!onlGGc3=WC)j#ea?Pi(CSjQH!(-j2Lu4m79`Z-bdIX9XLX6+oPhxyM zPr^gt2uDu=*fu`*flrgq_hjF$3Hqb-dDa84DwKdpu!j|DJUG}!CE7ma)_zFLg|}gE zo3h?vdACdKooc(@{gVWU@K2I~{tzEbJ@Cp!o2?g&DXDZzD9TxvI69j)EC1xZhlG6u zhFH(q$yrxjC*4&^jmsErKl84VUJRP68f_s$f9h?lp^D_Ho7smXy-S-hp$mVV>9;8x zKZVs<`twP~%I0Pb)Y41k<*72y*He(PCvBx|pxYrE@0Pe5>oS20%gzYSNqJq`)gieO z@mlMq$@bMOiF?6c=>;$n(`|$B4ax{DQ6o5^oLB4CY2Bg=DNP*H&GK-pU|!Kvf%C^& zCiy~Qw<0Oc7g9cwoKby?zM6S`M5CFM=?QVySRci|>?+Y%+Uj3q4Zt@N>_>{OLg?Q3?#l}C>G`#G6eO-3)idT(#yE(*0>)QF2BDf z1jNEZc~Y#Vd#DQ>1BM{)Povn)brZ$|gcgeog&Ky`yg*cl(udkEtVb3gTuUi+Om zMLs4a&|Mj1;A{i}S+}sou7J$o8;sYM&I0ST_UUX}&>pe~k~?9}YCm`3*{Y zjbItBoexzlMsIKLY2D9Q)`0@}t_JP3%pEaMee@6x8$&NzPSlEIH#}W(oG0&Vwdi2G z%-~PlX;|J&p9Sm`3k=T-Y{&;N#)}2h>2?>t7v+N*#5VKYmzn z$7>ta!z=^xk~A%{smc}OMb~OD;b8B7;3W2M(S6;(db3BzI~hgyROTQ#yAdlYgZZCI`OqN=c zGZzleS>3L5Li{Zq!L(VSJ!_tBYS$MCZy=X*qa4LnPLYsvLr(_V^^HHKE=h^a9Cm#i7ag|vDqnwP zKy9QYbJk;>sWBAk%fWJuy|F>O3&>2zTe9Wf@YGvObf|wj$;---r_niI3@~q^Y4R5` z=PoSLDtS7`Bgndb6}Ns-u;YLk?GQG)(9i0(ghQK;oUr_$$a~rVo zh#%SFWx9XXr&l1a&jEyFME3a+v0rj!=e^9dI!4L5HLRB- zus&S6dUgJ*aYa-tfN*}JK`VcD2>wgMEpuv35G#x-3);Gm#c_lg(Y8%V(L+M)as9Ie z*C#kX46!w@R~Xbr%jbXOhzMS_xbo>H*qTUYstJGPN7dAr(o6ApP9U7^+`ws_qGsH_ z7Sx7E-~A*`JEtvV)k}0bh9keS`i+zwd}R|jPG9L$;IQ!A{JWPGF}G+WLF8j&H|f#? zaj5!h4O= zLFnVZAowSjxd{drVyDqE`w@0J_5-`BcQ#!V3?^u&)tqIm160Cn zue9VThU_QrJhJ+r+5-dkH_jmvsEgT=@DMKQac?7PK($fE#um9}Yrv9f6+;SHvfLMK zka%M#JBI+W(BOo^quo!kp2>8jo&MUh97@P2wqGrH-5po+DKR~;>fC&41Lc3^IqI3| zuNKTwY?7*P^lLrf?w^~itA3@q7u9KYq@x&mG&0#g7i-Ja*$z}}BBi=SXQ3VOK~^Ck=9*%nZ$Erfg_q=5QPrfzh}LDu_L?S|lqz>m zu@_68iNZ10ZtcBVp z#LBP45*i1GpQ}n$ZE32UeSz(N!I>9L!Nni=bRNF>Wb=@V`K$E{-QFDOUH3b5u#aaXru$bsY#9UBl^?Z!LcGtX zM%mYnC;0Va8?&4At)2KJGx2r27Lh>wf=nxNiLRO@+kEOwPxR9o`5lKX5?ru6Iu$L3 zp=a^!2Rx3+DXL%@YaM?yuN+XsF=#YMt2RYP`F4`WLs!Y$(|_`KJ?+4Iz6tTT*jmzj zCqzf2%5#ouzFTWX(YJlepsus=?hBXct!w_BgS}Ib_7fEy-HNO;_V0xHY>4fQ^qrb_ zb)23#Uk($3OOV2_gf)2)phnxiCDZq2nOl)ad2L7vd&CozCQN@huQQIPO`v!(xS9x@ z5^V_2k1?q=@u)y}KM&rZyR!6HmqdDGlizK>YANMs4Ge&C)X!{-0rxFVX~xvRQTzP5 z`I+nm*kVk@r-?Vw&N#hu?J+^$uGpQHF=|k#j%5tqu%T4mHvc%q-3}@b@a#z4jB~0& zd%C+iNmn9Sfvtax%n=#?U9d%x_!Ka+{FT99jy!jA9OS|aG;%f#z)Czx@y={ZVyq?R z&RZ#C+&Pe}yJf?-X@B3EJCJHqvUYO)UWuy8E^0}9*`!$F<<{5k*KJeX1Q@Jz8c6*eEwOSwJ!opW(P=HnfsOne>2-aa|NWhIDLwNQ zFS+6Dag*fMTGD)i@bK>Dt7tk06zg~X-2*#ry@(JNSot!ns#vjNI=A^|8qlF#(m!(G zysh7sV;z6uQ;22w0URKE@7-Y32EH zF&A1TVnt&UmSsx^q<6QWxs}Qg^cUFqZZgjH-p7B&S9wDG`_IY`I3sc*ea3ICW_Ouv zsQnEYl_2^Zqd#?LR@krm;|S zZ_{d;6~!_4-hSf#2Qk9!$HZ}kZG6pFG2rqfZK zIt+gonmz=6y#IEs0fn2oCa$$PnLl?B`|)YIsyf@^i`4it^x8Kwt-5Gu4x!V>Ht2;x z<3kep)Od_@Mk*VmU-6$};t`!K#v2E`oA{!ZQfs^P>9dCj#YwrbCyz{Y0I4V4UEm1h z=Q41_Ml;eOu0!Gg*{aOR89SsS+!Rf5Ea`vFCaS%4R8Gcfnqgb)Sx^X|h;X%v+%zR; zU0fiFCLL}luABtcN;A?xVE=gP*;W0LjJfArTPT!GW`b-pBnkdr%k0}y7tcm@bJtA= zXL6_L+aF5qj$FMZs~=4eWt8u-cH%#KPw0N74+j>FifqXwh*!5Iv+r{nuR7J223LU+BNBgA*5;aH(`yBNXCfJ%HJ(ox95*(Avi_rl zUydF>!ePAqJ-4fn^+sFZoeyEP(~QU`?z4FOAHm)m<^Js%6jm>4CsJNZ8R>y%Hbj^IGtVD}zx z^Gdzple3I%O~3p|F8K6PQbd66^zq@~9tm9*b2D$k>D7>x)6-L$AWUj#rO@^WuK%QN zKYO{k@44I^P$qqC922Q{SsZ_~(Nq%S4y%dOsc?LfFxpc6Hu)XijKg=!V%0}(9!4uO zhS`hGoQ`(C?!=BBDS{`FnsPjjQT6)ICYlm^^ z1$kOd2DEfGhe&LtecykY2($GQE*cRRnPc^x0O#~g+gB$7_RytuzAsX-#!`~`Yf;-ZL?TO0@e`)0M?~4S zj_(*bjh4DHRH5WKO54f6ddeSSWs?q|)bm4ZRFB>ikuATI5FuAzD9Gn&p2>(BJF+C*Dk1Z3_@#UMmEiN0=zkwz!`-pXDPh0~pgGQ~mDgOAC2Od9U{%ZWSjD1Gjj zJQM8mR^=}++N9-4ck||eL&%Uu-=0=t#gZrMp)LCXC4!Eq!~;WC9!g6Mcd|ml`uBOC zLvDO~y^r2DuV7B&6P{>sICb5YQdjRw^qK9p4;D3CZ`glU(%X8T05ie9&fk-yUrDKQ zD;YK|9c_upyg1abpFB^Y-CeVJv6Od`D6W}*<*kU#bblgmh)Rx58dRzEzIOU zlDcnHoON6LE9Lz`V&%8x9l6hg_&rHzNX?mAblVClXKNl&NSXY^+#D*D-Zjl#FY-i8 zdC3OQkkNk<5IBV6{5Hc>u)=M0VYADW?7Y@TSnGKt;Ve`_A~;#7atnTbp8R-xnobT3 zp>=c-Hm4h7;_DcVrRh;%760%Lsn3aC4A()uuhUP=s=rZXU_U`9hw)F;0@H@Wy+2Lu zcB)Y^tvG((#FI@yV5X|&As30b*Oj#Oqeac*%$9$eZ1s!WC*j?)q*YI<32cT+_>7Vi z7-Fw^7(ZndaW{$Xd8>`~KCXMEfL9G8%vy4OonI_OEcpATG}`+Zqy!3s*b@)wA8MZri%JC`7C^0i%)4u#ClM8j>6B3ZCvzmWvkk+I61)DECY36#) zSE=%`wL#`Kx(y$0l`~VUh?_@qG#6+iEnr|%FxK63Uwx$+fRDBpC+J2{ru-6MZ_ zlF_v*kzKnYEf~xUqXAlcZ~1-w!s1_~Pp%Gh*`|Epr+(H%UDw~yVx@T9T-uXQQOIZ= zb8oiEOf2G!h$d%+OeO&d`hm91`!x+?&cZrvZb+4bpvmO(0%~UJI9bx5qcpbi-i7*0 zd_PY(PtZ`w;@f)jN)$X9zohG7hF*W7z*+Qxvf>LriCNfqafo zt;}NLGGVh4YzGHKUGwr}4MIy-%`}u^@_?IN&7ICY(fvFAVeExo3u%7kh$X+09FfT{ zU_DL14E)5iR5$2gbOa_ih_2hta)g?uRNvlpGoyv-_Wg~sW0+QDr&S=Y)BJz#k#Z7) zpss#oUwcLZVBNB!xKY_$G&&*-S?O^Wj`%g#7sFqgs)GClMZ_;HQFlsLFto*%nKq_1 z%;+bs=i$-K{^{GIk-RwTeS^MC>6mJXSa079>bdcZanO#edD~=^GeSw}I7pTi-*(Dj zx2z^n4W9PoQUFy>;V-NlCbWNc==+W~AF*lVGm4flk6&RCQV&^uxW?!=J7dq5)VmAy>VI4a&RD#%1SjnoDzdaj@eXfOhZng$eF_jxZ^uNAa<=)z*|#yzs;!hR(^l23JjwQk+(K&*0& zNNgDvRtjW$mjqis;Heew(7hOn#GsKDEJupMM+%{5LVipHCRxu?aZkD(8l*K*PP-DL z_+U=Jd?gq*1Kj5{;&Xpz{L#kkfL-;9znz(a9o3bGGS_*;O!zdm-bh(J6u8fP(WLY< z`U8yk%_F zXe`rJsg2{Yvp9b)Vk>c$;_oLkMEl{F&JPXU#;CYL#%x^v;<#nSbjBJbOmr!Eh=7h7 zgT=FE)Cj^Tv~P6VT}qZ@w-n@tr>}o35T9Jz7&3c8&w$#gZn95+na&ZGbj*1(_IMP$ zNKI{7uhyU1T;)soqmo8mwB&wL_>T4Hg=%^`ZpO%V0JVRHte9dgM`D=TAtt9qhuy_4iZiptMQp3R?( zcGkvH6;prU6Ny<^5-Yd z>=l3WA{>*GO78Rn%Ib2s@ob9AZrpWMaR26qKAnBn=^?R4%WTZT23IGnpycWD1CcYeAlfSgU{en0Y3eM;{^X$0AZp6c(CPuk!((JyN4* zJIYgf$It18n+e~uH+#k2YjPAX3=DV@JK2^$K0bsdQSG=jtt+{R4@4SQZaU=@`KI3S zNMDiPfx^AJpXOM$itS<7qn5rIA_;hc&5C8$Z%R zBkhPMrd?RoSbq*%KQ4&W^=&)zdy#+Qz(RC?!;KpoC2P=2ItgIJeFZDUWpX~-0>Z7u z$aOh_zomrL$cw}SCs=}dnwsGa-s>a`D_$P6Z z$B!1sXsa%~sNeLYGL9y^7u9`t9mlottC=|lEUOJ z-av#G7KxOv`TnKhCE+Es7ql}x6d1$M=?icjp?BceTAOmYpBCoDQRj1n zJRO#!<`zPAL4^Xdd*B*VDBw$tW>Z1^j!k&uX+=BI*Y3H5O?@MsshCEz}h3b4Q!)yyZ1{H%dsQ z$B17>1Rg|h9A~pp%Ttz_<19&GF?2GD=RC8gCFFaeOLh3H=j|L3CwbpAFL-=c#0%Nu zdJ9GzZFQ%aLc@^4J-L58yR8p|l*)gRhBTbBgeltenR{-sM}OL+FhH7N7?qop8=WJ4 z(=2d99~bm_+Bf*!3&a_IpwYmKBBBlJj6ncJ!B_&BX$1LGfs4r=7k5lEfJwn2FMdba z*dx+av>PGU0}a1w13!)aoC*a}9O;kW3v%*ux5Ms>`9ugQWH5gv^qY$7Cs#FpWk^NQ z@csJGN@0V$XC*kDcJ{96>~Y0tykSkDQBh^A101Bb!)u38KNlb69idV zQqx!3zE!x%jv#;PL+Q8)b{Os?qs_)26ztMmGdxUEBs=6wWWOQvsr6IpWt=R|wDh+5 zs#(`~DnWpR+Z;p}P{C(15)*lJ(Ob1pYK}GMqKU=vMq3^XDw9Ox~hw`bim?VGiEtM!CD@h@YwU>)(D@f1} z_ai7s4&3}{3dl$u-%y#yl1&CR!+9Ay`46$jn7&mMGIS(crho~yF-a?*rHl02uYT+> zL5pMh8M^Hyu-5i1;cZ{$>v+Mzm;Te6aLR2~QO8)W(^i2F&G8tAP%8Z9Zr7LXNh5t)BYu%qt%SS8BZbszU8e!lVjBWzih z=PJ7Srk!6P$j|gbul?kUQY5kfS6v$pqiMRbOV9Z>xP6|me^lL(qPFP0OGy!9Q)YhM z{=NEen1uvrd`$FXI1$(UgVLa!X(R!;%VfY#hlWNvK3qng*MN~~I zLrqOdm*HIk7?aiba2I7SXD?_kY-MwEFK{n#XlXGoaW8l;d6Rk9GqZ{Lfisha_$`+= zEdlM5WBDc#H8L>@FHB`_XLM*XAUHEMHkaWS0~7=~GdMMu@S*}Le+5*O-P$&SNQhEO z$H34MGju6kQqmy}0}L?(%+LbT-6`GOjWp5?(gFek64FQ`ANs!Myx%$hzt;b+S?ig7 z-L>y)@9Tcndgy81sIiHe!A&62a2S#e%nlL+NGK}G@dH30E_M)z6Puo19g4Jp{B6dj z*MvAApm3Pr{|bAqa?r z6T}Sgn=nAh*cS2^Gj?oxfVw3V@t0iH~{W92dK#@ z0F><@u)l&8{t93P{Cze6Fgy6)<^In8T?h*MlWc5i3b(a0hPgsv765ao4FsSpt-y|S zL9zmjVP?Mre~oPr@cVpYCu69MvB`bFpU#Z|(qbwA<9mXC(?gg#K<$tSb_CSsH${%$ zW$sT|3T7q&x3z`9kO=JG{YgR{Ag1@n?#l7k&053Y&M^1CfjJarX8xOmnWG(t1`KNN z2$7TgJLKMk{g2H8f&}n@`1!c_xd0G*0K~=AlH+%Ie|1+o$R8*8xA~rdhr1oz4q$#y z0^$KRhur^RyCaO9AONI;BgDh~e>?sYVS~W{GpH#NU;?p#!m$6Tes6}D|Ap@_-vR0Z zcniAM9vA@n{rmSy|6X2ZaF~tjKjDAwmqS@bLP|sX#b1p7?GqP=y8ztTIJp6AoID@^ z7z_phfB5bf9{*Y9jWP7^HbDR6%E8RxfcyAA?cSf$zgl+sTLDaePX{yLKZ_~B?_~=C zF#V%)JrEDb^!@?<|JM4Sl>eK=e^>c`srnXUzr*gS>$wpub-(_gNs&fBEhQ%+&h+1%kL2=3g#j#Qn4(|6Jp547s1D z|Lj8wW(qg^J$RfvyZ~bd2V+<4`>Vf4JOFp_{e+r9T>eNKz`+iKBkxlH_nbWd=5Pn> zf8W>42L^D+{5JiCH~}28{~#U!hy1@0KRw^JR1tJOo%^z#3$R?A1^$ng=62^=*+eqJUe_?vT ziAu?|^1^MG*fGu(cq@H_{fqeBl%1j8ubq504(S4r_)8B7;k1u1-`Q^Ej;$}91>FtwMr^C)n#MX z%7n}iW_1&=IGchVpEt>X6NO#UdvcGH+WZAIECJ{IFIBF26%vnKji{U{3Liz{vXMK= zS#RQtIc0Q)JBF);t&TtgvUuMVQebLYhEhEL7I<1rKovamjZ~09YL;1LGn?j~!Z)ZYkn-e;f;105hMu~L|k7u0ktZm?;# z(ofBE4s3WZVE!wmS^u=HU_=n(zBdE9HvdU8B?>;t>CG3^%IY(&k6B5HjU4UmMpY8{ zQCxhdnl`k9?-#bC&Mr;Re~YJyl^|~@Mdh0@G)>c0{rDv<`2~u1uYYD|+PQtpOjbBZ zkxui{pI%RDX|a7vu5)viwRJgNtN$tP9B^_LVt8z+X*4Sb-g|wvemgQ>oX;ZMZI|Kh zByx_UN6{?Po~VDZy`B0>5`aaD9C@sf5Bzn&KSJ!wTE1`%Y0ch}e_;bK&wwTFxPe;& zYt!}Oo{7bATaux2CYZl|J~DjF%Np@gXfYJdI|V-20*e_TF@dA5cwY#h^c{YEgQ_S!@=9n}_y!gxXa z?PSq>tTwca7P9`6e}{(o7)nBzK=xWN^^nV%4sV(AD(@*GFn)7$=lfIoce(FR(K-&hTz^bH*lCs^@XM91J?&!JXPhlYuudjens`ZwP&^)e>+QBZtUdQ78^8H;bITT zvfh0jbBYj1gy284KO0)=b(MZ=-!+fh+m(oFW95&%eYR165}Ue75y@;d`5_;H_R6N9 zlDsg1v%1*g`$Q7Do%&|GD5fHZ``c!deR;5wR{Cu#CHa-XERyiOWC7&>-Irsb)$TA> z)?5FwoqBN{e-$3Cq(>edDtv7SRY3F5J8nwj?xxUds*0eO{If;i_)MJxpIQLpv5?IS z7m(6UKA0>8ZGy}UP8b{s;G}f#eA6p3vuJ%ecpF}aC-2y;L65rdywIzeN7Qgk+&GEl z0Da0`Bc>%X#g~AsuW<=gCOe=6+^Ikw%%jmE4cfk*fAo8`qo_)Z^I#Tt9L#KHpMGx4 zDm?2$t(p)&*(F|}<27%XRh^L8&@^=c7RuHv8qj)v#iFlWBy#;kqiP(HFAZj9k-huJhh%6ka5HI(PYTH{N;^&;4uw!KRCvk!5Rd@9)qpM_{`&Wsid7 z5HQXNe^7cB`pCjm_kd_hI?%kFQu3Wm;f_L-&Sj^#)wxC4m49VQfrnAWq0hI}N=rK8 z*vGg*X_W_w`rt;4W8I9^$MlV)_;C3G3moV$Hmy4 zFJ5&fU8;?6J;}PIAOAq(ZeHx^&E!m`;i1^;f5&@+NhnVJ0ff4cy|>%5T*;6PA5yFo z2T7qgqY#(6$VM2F&~u11%zO$p<#{;Za{T%VZDK@jT>VzaGfs#BU+*fK2}|*j+oH7^ zQ_zFU#*o)J6JP@kt96qth%Yav59NyrL6OFjCl&o%40r2nhf=ND#~g24ZgZSEQ`{Ov zf8~$b!pwm?&9`0{r;9HT(osUg9-u;bm5d5KlJ>=HUA$CsnqdjgEpGbr_g}u=;Zdwe z8fFO^JVhPszi34E%Oox(w7^=3$^^3^-e;@WA))v?zW1 z{k!K=@70>-HCZ%fk3F@|zB7A!Q{=8Jf7!hX0O3xxf$@Hdcg#lbdu(J@wdXDe)~nBs zYctqAIyv0Q^mC(TY)H!Mv4|%M@M($YRGg$HKWny9tn}(+hz{*_p?>$EctJ04`T14@ zA9PIG`*rzF(G=^`T6eQwE7;(+0%sO~%B+M!hvXfjZ|tRSiSW&-4t@ra6rOUff3O%E z-NWiA#(|}H>potU@0`Q6#f}eOcdj zH)ZW2JITjo7`i(bJY8o1%F^|TQX8XRN?0g)nP~OMg-2UUM=~{g3xg);e`ljGllLWL z#_|(ycyLagWkY8Dta$ykD8_Trz|2if<(&c5=S(!)B=XN#DiQ4ZdT{ zJw4i^6`}#LkPl)%LP5&ZTw}N05!+Pozt+KxdKa@mjs3BNM_wS*FOu?Lnqcwh*fteI z=W|itFzgvXy8rwYn+S6~e{FxkqXq%ZxV}depIP$5ovofs5e`{g3@yZyCWOIL6*fBQ zbv#jZ6^Cv+0fJBR(rcp{hjE&FzjvSj{KpQ@TeHHRrEj&+yrF3uvk3=-+@(8_JB->p zx#`i(-{n!er4-R-`6pL5kUwXJf|zblGE}&zt#u0@Vf*LhwI;a2b@8^3O3&5XzQwb7G3%>L-f|@(9jDWQYOFP~FKg?Ywv$z@XOljI z#rMjzh~-)mB9%w=e-6w1rZV$^jMGzILOpc9!11S@8vMJot=(zkRJP!sUdCIXTgxwy zNU;WUiT>#qsHq3pQ9LU@hWdCgGU3~wl-d%U2}TS;ty5bB3BSrbxfWJa1IjvQIq~*k z5A|VGf2;+712MfHhaI$p%RD}UECEM+c3A;()Ln+d(Z8lle=2x8(Mfu!Znb7npQN{$ z_{)EKp1N*ba&_u^3JmnGBf!3XfV^BCKG<9_s+qezr@A6UMAR3Uvj>-SVZeS^nwAdT z6=uUuq}YG_dMvdl<2-6(|P zxTw1#=1lo~58J-eKgE_%dmDT-UjieQ+{HQ$z2@Ybe`DY*rFBymcxP3mFjW8Dj!6GX zb)jmEBuhqNxr#lMf816#_R#P)P^`g&&291cN#ugrfsl~P{m6f?OYA!q0(j0O2~Upw zpl@FbaByLtYZJ(Sv83)@a##2xf5Ba>7loVj+%23r!!+JF&nrLyU_~$Z5sfv_Or#J6 z&NiEbe=Y|bpmyb_)v<@o(B5Hw9ly9}AeS7UiN9!8RGGGV+7fuzOJcVl;BlJv~db zLx}H=_-Q)NxWc=0JI>2;LIoro>AO6Y-hb+^XHwasb)&g5Up-sPYr;o(Np{G!kxr%o ze}Jud@kbo^#q)!ob+ZxE64++Xe*&8>T|Q@!Eh~5lm;fZC9gXdb|wxQfT ziaYwnsS5NBY<{Ub%_co=_+~{uFL*#f9w6#Nr_uFDrs*}!Qo15q$9ecBPVUnJ;+2A* zj*K5iZHuoTY*?V`)Kai-I}YS1k~vZ8e}?7%$TJ^iP`X|m^pmN%a795C-Ch)tygt(O z%t<4qhgaC=?k8{)BLN7v!j_RBUba_hhI&`)7Nr}7=N|;%r>)% z>M3X$_aXTbJVMyOEkBgQAo<<#{g)}qHH>&vQne7B6}%N(OZVAy|1tXZW0z=se_y9) z7U4LEhJ?LnPZ-1YHwpG@MwnKvFWIr?D?Q?CkTDR2JpD;fdkE>ihrY{=kCUo-12ZxQ zF9)G8x|MsqB!Nf^H`EgK0(NiJW${6k6WZDbwF~A~;*bpP81GG>liAJ9Ixx*n`-hD_ z!l1|f6S$eLxibTICLPqIszz{Lpp>)L5r7g# z1WNN0B(;7?SJMUrO5BZzLKipRP9(c2+cKW=$wei_9XYyHx&EbEomn=vQ2(&^N$~q1+;Tt~y*HJge_Frk9%!{$ zCOdnRec|(_(3h9z`*Ay!{AUQ)-S&FM6J32gF_)S_XWf|{D{`5-bY;2T0KSlX)?uCv z_~u#B*Y>I|;Yn-Je0qeOo{^E5oEK)5G+VsvF6uWz3KOH!)m_;8i7S2(L0jGt{TG#{ za09!PvEFV+AB28fjT(0fe@6{D@qDCXy9CB|%?bC5&_`j<)O6q5AKDpBl#}KhdWYCZ zmaoK3egJW^sX8yxf#L;k3FdaXo=^S)j=3FnhOm;zD2ymzVmf2oOlBp^8_Xz;N8A;g z9K|!Qv`22KB*Ehcd8$vpX?Uga`D}i>!y5`>855H!H2%d` zPWS|mMYHTB(-4351@Ohiiw#%4Z4sErIK8CUdqkd0*>aK)SNikSUp#0AELQ!gvb&cW zAz%y?7*!8P5?-Y-KPo(xN#u9pENKTC^Jrs#AM4{@@Jl}xxG+;15amkI6VO7Y zM@;yle;ghlloOK#@J)!ICtx>z zz|GOz$@bRm*v`-_v1U!JZ=G}FtF>|Kn+Q0wo3Tg0E3bv`eo59c2Xmg1Nj&XGJX7#j zsG|B}a&5MTll8HsSO?wv6cxF}uX8JX;6FkP9uCCVHjD*O!9&|Zh3yV7ykBdHHkA*f z(Dx)REu~wdf54wPst2quehz<6j{egRx`~5V?mcDrf zP`PRMM-p1q+1!`6xf7kx&Z3 zqp30?O_Z07OOck=)&6O*k?I()FV3_T30UI!hYjZ4c14;{^lHN_3M0;IN2g$rWKcJgP)>Gga%uaYVdbMypjS_@y zo`=fOh0BYte0Js<7d;W|tNv|RAn9HBwZ8HUe|n!$oK@NOd<_`yMNnX})^lG*vwWrG zZ}Xp+!U}A@_JE7a#RnE7NeuK?b6VUmk6&~ua94s81F{KJK4=iwV~0@{|9mEs94k&j z)pGY_F;-KIF>7D#XTgpAXZ&~^E2oW%PG9B-q8bA3{mP@KpP!D0wvaxCyql(g_Oz4R ze;7I9`*MVC#-YQT9bXyF)u^K~8>pdAuu=KLoIP$?9|!3wHA+1nmw0emasF86akwfv zq|U8t>grO1=bxVe?0lhw*F~IowFG(f<~YZJ zebdO=$~<2Q5mi0+5S;%cx%U? z%F`9B_IkzukUY9R)!=X%uid`sI7=Fm9kKi*HRfAdHgh^bZydOkRlI<2A6Le&e@b~; zvJY1ZurX@gHaetNGpy|2UvR8L8YX&S2}_C>WH~C>tPK%W5lN2st$QOyBKcnJM6V+B zs%QtWG?%%akyq(gAyGqeb>e@bXsMzSn=$F4IF|T9(rHeAJFGc#_Ux*BGQVW?bumkm z`dT({k@jTL@(a2D>=9JUkcV*ae?vSOiLv~MdSNly3EeC(5GAmQ9ermX;N6>e_*e(c z7~S^!`%f=XqsGjSwbp>$M1+ys$X+W3HyeMs6>U*cWQups*T$9lI4?5qN|vjG{Z>@Q zS4Iw99NJWr$#`{|OnYbucrlv4j9-^(9*X}_2j(<{v9@dNDl?ZgJ;|Ooe*z--n25(_ z<@(peoBh_V;inAoe8HC-&&yLutCP=uU`xfiu;`=^V4NQm(#>sj^(^IgtcHKi&d=OS zKiT&x4mbeE@!a*3r0TtTp8xsGvJ$uno{%06*Go4NE3?MvQxmajlwC`h6MUhDBiSIR z|3WrTy@!YRSy!m}^JqQIe@H>SL5s4Vp#FpMqBTIA++;P<1N&1gT=J7O?lI!-)r+YC zBC2l5xm*6lE1s_&@iwbrdp>Hcq6gV}?44)YnafN4JA&I|LIgp{^&^j$J%Ctli9%)~ zFSoWGw8e2#vU}e+W|&%;e0|xwzTiz4o`fUCY8sNv8RgzvvfIbDf7t*gWt|*GrfQ&D zm2z<-_A2}ygIC^zzgXI;lr3BwakuvrhNyMBD5Q0a<12*91*##f{OJ)N?Km$3kX;>Y(#~%svh=LdJb*dO&CT2%lG^8_f`pkZ?4(W;a zczBiNuQ`D6b$Z?$e|B9Ba?Z2SPa?QZOF%8u)G76n9cmYUCRA%RoVShT{BbSZ6Pf;C z9ECD%RxnBSsO}j>>Ib1xHPwg|Si$;GB-%hy9&zyVk`d0ZS!E+B8v~t zAFZx)dD1fyfAP5|ns-eFT=Ru1IE0W!r6CSQ{T3sFPw^dfCRGjDGN~}aWr04|MWu_9 zKHnchJgj&1AQl5+*dT1$l3zD8rae~75~R$>;+yK*{r%MA>V+^_kd z9bMB)vzr(6GCSS;XX)&qbcyuJDR0Yau5}4ZFKq_pvX;eRzzDjxegrW$D=k0FIqWjD zaS1@QPL>K?tdv($E+L(NA|ljZ6yUMxc+S0XfZ}PySuehoMCEC8k?7cwA?pXffF2l) z*nB#|e}7%()Aanf(aJ4a6C;a_&O&&!ShJJYH`|WMuF$X7e{QAvejA$T>kJV)H(?2Gj*oUl=MT zwR|giwjQr9*zN*D0&lxZ)s@lmwJ5q4DkiSyf8U6+_=0=i;}wblneeIU=`DNAeEG_e?=_ZTq>oxKkmUiGQ_Aoy-MgWU({ ze^E`QMWg8v?~K4wbHr(gcu3gPxHi+6GZowjT-z3XD=#fV%Z%q*-8wpr+i~?!H&$YQ z@Cj$$L)|x)L}<0wr99HY;`1YhXqbmJ{G5V}a-|rU@8p8>*g@z|nCkOq$Kw3QV}iL+ z;(ctMjy6ef_{P%RHi%wbb)W}JX%l>IebpfGu{v%6@QhJ``6i8X>gIacIt}Y2RbPYtM>CYC4OAx9C?!a}BCA&v z`FykJ`*FXRyov76zSTGidnLg0GM)f2pe@z*D{IE%s#m`RSix7Qw1L{<>GM-&f1kGi zp-%(TOfHU3NK8lP+UGu6u&tToHGiQS$p@eZ^zN?yO2?de8x@w$KXI{) zQxI{&-G*C^FTx#d0sSV-+ubrG^AoVuf%)-{R8=;2Ep3fX#{sDRbDb4+G<&Erxp;=% zY>H+-m!j1c@%EznXO;31b=$R7e-#(Y{YO*99gc2DOAxs^S*$noIPGaSj?q+KihkPU zaHIOX@gRrwS3Js@Jk;#^*xI$d%dIq9ZL=Xr;Kb3et%2Q5{rnL*_%~f7Pgj$`r@C zSM+s5heoEnjPoNGmjzal_@0;tR5tkLeb1@!3VTVTu5sz}jzDK~r;!)wC-^NZp?we2 z?5OfF%moUCIZ3)I)aV;C4Fs2V(nNKWn)*q|HcI)4YS)!9rU##J91hF8l{wU)9H2s| z>FY_3y%!;o%V4`5*-j#=f3x*(jCioU>N=xJZKSs@CwFT~9S$U?9k|wU5;=b$ck`@c zqg}KR=b5+ysIJ*PsbYk_E>5(q&Q%cY3TM%o1FE1Vp9A_@Z`j_V@gmaTCYdW^qslb3 zhG1C_TIqFxbC>8k`$2hn{_H(va$LYh@WWr8P>Khd#C^^H0@={ff6Gc@`s_HwAY1>t zFBK0xun~>}C~j1)hU%WeX~|8(RiN~kGixTP1{9O*K+;biU`|UTDAkwNCat?W4uK_$ zB(=(WKavLp`Ib`~F4{No>a=27IG&Q_Imd4l?@pUM<1V2~(iy0I%Jj`jckQA=b8Nz3 zZ!4>k6>$o+dc?Q+e?vEP!BvZfwW3SCj*c*^bRRJ-={Q>>PK|?mf`qcQb+j5?h~*k& zm%p`eG9V;~0Vwsf5DR&_a$gn9K98uy-2Rlc61|?BcNy1v`!PQX7maWn&Qachu`RFq zt5^<;jAJOs(gRDuDAI+(`m6NyL3tLebKan;?`kSdfLmX!e{b;N4MEy5w?wVUTF>LT z-HeZB{OP-kFND`)lUZ1;j1^T4ug4;ZcXk#e)d*I{4IstYCL)jVtm@wZO#vR*qx#HV zz9-%9mINPJ8;o*&bo`Ps8PXMSB&bZ? zdqnOIrnnDZZaBCeErW<{LJTR{4=1y9e_-WT{iKG@5iR;dccO-+toGVvxuZR+#B5I0 zg_kJ4KHo5Z=}x*)chDEwe8qs!s=mz19R7AZ>|3@qf1kX?G9&wg)USZZ?Yj$+sv}{3 zdlyXuv$m9|k^yykyBuHM^Dq_>x9?Rqhx*_rlP8s|Cb zrI_&ZvRuRrSja~{8Jj^%_(u-O&>;J+uaZpL7*g7Qw$^?#_CZMbn1b&5V)HBTilT)w z>Sm|Rmw(XtZASNYcp{bomt8kUa<+s+^p`v_tSwZ_aH+$ZtdGba#FdT6mtP{QizpK4 z`n9&bq>>EljwRH|cHd=~uh(JdhHjS;UNN7zq9=AF75{=cZd%S2zkSb_#{Y3}I3 z3dztXti=K+#%OA*XQ-z^ImRbVh--NXUxfGr7&Dvly9IcNFXln9^x=?uR2@#K;`eNN zVEAGjwf#d}9tUP@ujh4D;)SHSE6juiB>c>Dx~%^Lknc|03T19&b98cLVQmU!Ze(v_ zYL^Ht0WJnlM?*zbSeKAg0i%}}E&(zVGB7eZ3NK7$ZfA68G9WQEFgY}r;THoG1u-@= zG&Yy#?w*^$3YtJr>JH_1wcXxMpcV}>SEiT2~-Q5a>V#QsHyIXN6Zig-3yZ8J3 z|61p)S&MnD(J7(ZQJqAZF}tWd@LE0LVDl16|R@UGboKf#7gT(fuC9(ejEo*09t_5IE({LN76R0C z01qpFS4)5j&;{u14m1P&kuX5P*bewtW(;uT05wZ1m%rqy4(6^N#?C;%hrrg#6lm}A zVc}+P26P5|91c*GmIEj{0`31I%l$>51N>bZ05b#gf870T{f8qf`#+71O-&u_9F6V0 ztn4iS=2o^qfTDyPgR7@29l+S$><^-`t&78dhrO}8v6Zc{$p_)j$c+IK!pZ>Sj|Bft z&&AZ)%F)$@!Ntnl?9I&oNW#p`kx|{=%E=8VE%rC%Lj?Da%mU~NU}s`t;^bxp0G$9pPg6_AKisQ- zc{u|AR5Je|{>Z@3$I-zNVE&N=(9g;o`0)kj<6`U%1h_i80sVabt@v*Q$IJ{cvoduB zm;f!T?BV|L{vigM|Ajv;-`UC&pv&~pd&~f)KR*9?(*I~LGY5NHuYc%&-Y=uDw1&L2 zDD7Vv|3@bx;@}DJp=V2_H@C=K3)J@(v$kVE@0Vn!vw?Rvu_(Gp^WR5`+nYL={V`%J>>L1NXJ=zCxQ|QzK;}DE)_j=r6a`!>7_y>N(ZsBbFZwE|&A0b=*lK}e% z@^ZBN*pvS-K4ez^f*(Hq9q&g0?EZlt)5`cS+mH3Y=#~D3o$rKGMtYIgcEzb~g;t1OeNMhNL5H^`DYrj=`@R?^sLbrQ!!1o? z4o(%H2!9ZlTsntgGaxl=huPC)$y=}edU8X z4q5n@%AfQx>d|_EWpm^OCOPxiBv7vO1TZwHm!3#-w|BFsc~kF1G6}SBey1_4B|bV^ zEU}OC-s{zBEH2%DIAl0F*aYCWsN*vfJ|ah{GFXc~C)Edkr|Fy zvg)iAx8r;X1yO{U#Qve~9c!OwrNevY(=!VWDiWqh6hEZs)4Xidmf}<{Tk@b!{ zjUIFBH2f9rpI_erbBNlOCjqTJKF>`~>m#Fs^!H(DZ4V=VEu*_Vewt;11A_P#9?Uf2 zmb#H^t2|i*X^@q!6JXt%KxuSjx)t{nt`|t-P(GiaE0HH$=AB|DCLJ!wKG1RebM}1S zt60C9=1YaHtvQrMTMtzI;P+q-g?E!5X_uG9IF_v9M%iIh1zF-fUkWzjD3y5|fz5Nl zm5i5LHJA*4VijIQa)~?aOIJf=C2Z1?efx{GBawPRUe=G?MGWT}HR|p0>_y7Nd#6$K z6GzQ~!y>_<{oHqEM>}^_RU!r$#||2gmo**{A|tWeYMdbjU%FHR^159VGbDwhz)J6T z=lftyNYB(n+==a4;*d1e_@8zsx=UX?=qjbf$SF&ImgNUzkNLuVm-Uy#O8Ri>1B5WY z+_nU;Gh{CeHmpk$k3f)VP! zV5bjWI8yR{dP){3+YeRYWk%xcS=Es*BL6(mGnj*RcEe$KLP%*U+Hnd+h-kXD(P zO;WBkjWe@;cV5_p3vZuI3CZ;~oh}0O+S(4-6xrN~b+ZibrP~VYFTU2jU<@9ZM&UAT z5>#Ew%RI{GX){%i$GQ7(Y+@%b=som*0l=K|oJKN9SaJC8!IN{;ern4ytjS{k8lmo? z!;&18^)ZeR)e(`*?SvyF@LHw%6e&v?*2kjAG^>$T%OR~qMrQkb{8ZgapMs*dKkim!I2$bq+lVpNH(eS4!@Tf$H|~`bNDP@&C-wUz2TOaksm(CL6g~kPE(3F z(2H0#^UnQavV2ppzeqM2)07%}Z0den@6saAwT42lVmEfG|M#;!l-h|$XVO6jS-zQq zo@i@U@#Ko)-NKYmi6)CD(Giyuv7Fh@+Fd+{lh1q18jR7yBK$%Pzn{*CnG$=n3mm*3 z$<7|9?}q}&`)hv8j9_?dZ)~%F=sQ&QZ31cyUj?Nt$B^8P3PkMAC7`f)nwdYrETx*k zR1AA@+y`~9Yyb!(5X(cbvAQ%AIiCZVe=1DChk#yo6g%|Kw34Ic2f+K$e;eQ>lbR#oDZwPF0Qd#Ga+YxT26vVkH$+>QP18i#e8W%Z zMD*H|KYHf~sLF3J=)5<7cFiS%5mID6DPYV2k+>pC{>JJ>NSd*0iX<<;I4wD#^SZ7J zZdd)@<~_P0!WYE5#(yowKrHlnrl!G*a8D&H@}8w#0Yaj@b_Z7LbN&v@ggPhc3< z=S`pw>Qpfk(p2sZ#h}*3$Jp2IM>4H{DZsU&_*?;qi*1Q7Hr}`nKR}W}O!#@PikFttQLos;69-j$M-t9pon5?k zV(lmi0~J5daP51lWb^&@<#7NNp)i7N3);*%v(Xxt8^eto?fLF9$Hf6@JrDOH<6{Fyj$BPW^dKK&u5^CHOMcUG#!zAgQW#2y8~z;XqDhD z-KE@re9e+^h@#>~p&G}9mRp@8{p1+RNs|&K4oaQ6|& zIx#NX;h>a8yETM}r_L*yk30&=C8xtKv$sRZEkr_4=D`Tr1_YYxp%g4^9;g+z-tY%x zb1a${XpJ80p@XN2+$Qfu`y`5`d1#{(nte2X5~%v?jHO0imC?!#un{B4ddexicoH;~ zYgTHQS20Hh3V=H^!yf(i`H*e9Gv$Db6^GH(Bl#R^-pgPJzlStCbTdw3qd+(`# z+1e*Ii1WO&Dl=){oEx5y?5|`=GtCo6PzZaoxkFK)aCZlAq(9^$S1*T0Um}} zRFo*n2g?+OLDOI7+vx@20TY%z{FaGhsD+DCx)~Y$jNV<{ zTtv);Ghb{6m%18`ZQ-#@3=IeKz_~90t1aZEs{i>aG!HDJ=F!$cWZ}3v36>}|$DNqz z@u($IA~^_Qee>zOLVVL$HzLUVLCKRXKq@pJ!}k}o=1UXrswCk8IcNxBTQ2J#T8ka6pCpi@LV*?HAcTQ%cEx{n-N_ugriN6Gc8h!_y4h#1@cIPv^y zn7^o*4y9J)2ITtMu%VU&D-ej-Mpi61ar zxwoLK^_>h#YP0MRY1~!1xTXWve|Vl@SsVXKXvrR<$~hI;@b{_xT3{~>Vwd8}uB)&D zB)uG>eQH#iAf(|2rh#GTss(yt^XFX5!8qO+Bf|RWvvOIH@Qq6jVE?zCHKMwNRycv= zBikR!jtOD7RfYbu)ZJl!-*O(CORgDXc%fBsC=m?4-}3CaLdY~&3;ja(toj-(PQ@fS z$~)PHv8wC@7F#itY@TNvj{gK7pGC=ajJ6@AR`I zP;f75+M8Kam9`tdNQt@cGa+yUOqFETF zF3Sn3`3j8mrS4l@+AxlkO0C(_`9536<`$#w_hX>{u4tx3x+dBkmp(|+yO(cz{>POU0uPHO#p=xz_fg%+425rnUQx2w@m$vSXjTq8{E<<+sv zb2Uqgo@+{6(mqfB66{Y5o(p=tU26~Q2OH=*T z@8zz!rB%DXImQ4!U~ZAzdSZxJs_P<3QR*FLWFnTx@bOy|?@@T;X zP0%KJs_Qr?XONaM(p96yX?txS>s2FGUt2JDf?A_CN@?5tSO2XB;{B$Vg4LRhbM%88ZI}lH8SVx)b*PbH#l=YQ>Q*! z_8za##INi6^Epp=58bDq)ahzKyIk|B53G2kuJgMTL;F{$Y7K#kfyV?A8eMNr(@>ZK z)ow>y{q&MN5!+Y&-od${SyDQBVXIVq;39NP(rG(bv1I?#`Uu{}d7*4WoU)?DKhU^$nDJN8Sd&Szv zmuO>)b|c+WOli-O6hLXWgN8sD9R?^@k%u&qa~@egpoV zNCy|1-yoqg_U*%6V$+%IX+HUUsp%j38?#)d z4%^{9b7S$#V#0VYHr}mCB7Y`>uMbV@$!oo}vU(cqiKYW=*y8S;O;C$Pzc-$(Tq<*- zFl+HT)1YVCNe<}Hn4PYEcJmqGz9cbmnp5DEda(E=L&`or7p$$kMwpZ2*hef(g^!WN z^;Ldg==Y<`erdq74Y#z`??m%|qKfPp@SXRm*JoO^ zCNuAw*4CzlKr+YHK;Z$JbVOij{ORjUX+-u6@=4uouTuzy3Q^hXD1?MP5&{et>PxBRIQ5 z7qaeQ!L$S~GMxfNIVGA^MWkMXf^v`awbb0i?`fiLK{cK;p(Tlb3#>zhcX()3t)6wJ z2EJcM?may@%{)81w`io=rlY?$TQ6B7)sp6eS$sg>9~6doce zgrvTJ%pnc0N0bqNa=3OU@WL~qVfYL-A~0XdO(V_ZhdJA zk!=n>zFZu7tF&1@N-Z8A!G#p`qF$2y!#4D6pfAe_-wfJmn`LwCf&6SKJ^|g9(;(P zl~qAg+B@=ptp?aLh4wWORd(*Mhv1&CpfQ!XBz+70*Il!Y_cTZ78zn|i#pM$g^)rV>zU<_Yp@QgNv5@mAe?Qpyd;o4~uuZsoJbqg5Uo=Fz zGUQ`c>gX{OLI7g*Wc7>40fyT-X+qt{-h0fCLskEVU&(Oy3^VXcvl^g7SrfWHc1^T}m)v!2d?B=*5%NHlwpFtS zQMVPX0DyRcU^6KtLTWP01V{8)@)2H~H@1>+I0Hf@;4Qt_hHc7?24i|LJQm7|roG=C64 z2@knPx1@vVG^Yn5aB@1>RhoPP!QQ)*p(>F37Fgd$JDJaREwoLtsh9FCYM0Op@* zJ&|pi$|1Y`uejDNj=ck?ee#HHECY~#)P;p0T_qT8VuWGDM*$yKpM??x(nQhTd=5Ly z%m_nTKYs-ekypM4W}C)#-U?~Haxf0qlJToo!|vN?oYMZ_0j?+$(0HI%?UKPLg7u2p;wb?)qvtA^=Y7=1|zP2LT5_N z*uAqemmi0R`;E3MXJY3krVGen>cm`iZAnVLP)G9a&74rUa#B=809Tw)g-hKYwB5Tv zZCrrPcFF_%8F~?>e0ig1pvN>K`Fju?Jc4v-`V&lqYTUZhu#owr#EdZpX-fDGweFm2 zgwuSHG$&lqoko+czAnN2loZ^5W^PVYSJCN{z??08n_e^aU>+$=I^vCIP-AnzTNgwI z`h!XKJFqx>W!9}0xeuj^~3^60Faa=fjVuX=(>|2 z%MpR<&c0P4?M(0hyT-9)d&5zvFGq8o3jQKCy$ljK=lBWA!@+C z)s{6^1T%Y?Di`|}9Z=UgY*9yVbv-T%B!A~UqW~+5u}VY5q9VXDhrtStwVvA3FaJ4C zq7^Xm>}>=8U7wgQ{pYsiX6aAq$CB!VhBL0z>%nk&Te@L|UqbwARS}#gRyNhL33?-b z(T=DU5S3NviBdENK#5X+$og`VAlVB{arIicSTfJTAk8i@;~$8coNu>Y>q#4j6vuD% zjUJ1e{iWIM|VrE`przmL) zEOqaBVaAj8-Foo;5u1*=>X#$8jtccpfc0=!VN;w%!0u4)>K2SANGR7(2G^eT#C2d% zcVmBphXI21rnp1sa0$tRW zNaPT%`#h(<8a3H}?;pB~Y!rio+YB&h+!LMRn#cF5m0xI=%WBYXVcVn!Sw20B;KGq` z4wjD21jGZh3aGWiiZ+)a%1cYHa)$S56xw`$k#l)7u)_Z$TIoqDNc+vUtD1L^+Or>`$#v6jL54O2an(l+k z@2(0kfHTlwOf| zln=rMJ=h-fUb|0;`FHsUqRWxf?fm+BRI%$D6tMb#4SLbqt21Yr`BUe+=GC)}L6L;N zah@C{m3l1T$fBL=Wb-al%%@05u6Y%iA`TC#BvvHGd({cCdTKIeig7fX>29}YqP=yb z=m-yN+?%SuA=O2RJ_;q_;GBK`2GPN{k)bLEn4B2sLjss+B*WaDh0x{eKlC^tAVrB5 zKTZ>Wy9f>z+-RN6vThJq>Bx!g2lz^CwX-F>g_JTI?g?U!{17h$UU*RbNC_N_%OT7e z>o-WE%~jgbf#{#3mNZfI4%vX1I(IOst!54~9RF2yl1FBrX;*cPwbg};gdA;X?p zV&-6T4DAzN1V~Q)zPzaRgk(O55rh@xvn?)?s@0PF;np%JYM((Ht89g}!wfl)dPUqeys_@_Y z?0#_K4`}sp8yYK*-Hf`)*9 zfEbA-a={{NaBq*?;@{6p7G13YPs%~xghp&Zdx`^(#b3WXMedmjuG%Oz!W&Pj5N{I( zC${eFbB8^DmxZzQloW#8QUyY{XuYh}K%f9%d!!*`zvAr6AE#H)pV?eqmQv6d`q z#4-d&x_a2z`|Rd8J#G)DClQc-c(#6_rwV9dD%2>^C!(t^rWvBWKETS`!@@& zHI>{WeFB@V=Pm3L`04ot8)#tP%IjYa>5?7n%Ns=VyT}Q&tpi2ZG&s z<~C6?dVnnbL}7Jm(IZSkzKJHXA77EbD)55c5f+=|k!rmb$TwyU)#j#HeCg4fJ^FH) zg~v@-j4UZ(4Q@VnT%JxvLGomO>wYO#aQo2MZeYkIHOgX8b7JLVy>tAY=}bylRt5tA z5&5!&5OaaHPy;p$zJ-%sY=k>E0Z1h!ug_xqC(@{KdtS{cmY4>YP zo)Dp)lI5H|oAYk?yz4~4RRYvLJ#LSCY%E+9vDDD4xoqhwnwu(d(Tt9N%pxBBac?%n zGn-ko?VxasE8~Vqx?OMHKncw!m=MX_-?sE`8snEC(_X#AuJEiy%k;2cmNHQcSp>ZR z&7gPRKxgB3)-qcv`Z8aJ?)$Y2Jj22ceW}fZ*GzG_G}lB5E~tKBuj$NJ7R5+Nqrg(k;=W)v#|JLlli<=CR*Eh1-i6X zcO3R@DAbOX!3vl4)3nD(e(ihStmfd$-u4&gb{M$4PW_S8)GQ=_UUIc5(1{efJ9%AD zV<{`!`?^waj*;>0sD@WUG!6y^WJMs_uA0$U>i+{INB9!?3U=Rzqc!RxC(lfddn9>z^u4?LoG_T-+iF}E^siv&TdM!8RGmSDYj>c*=*4OvfO z%sT^Sp7Cve0DI@4nG&pKUie>;wsmKpb;8F?{T-h$gAap$NI|RFL(wb1ptWkoo7`d* zr>_{rDNY?}F2jN)Fkl|E;owqVK+6w^Cu4@*#F3NYd!HcpMMq2gLL&pm?pJ*YP^;x$`SCdk z#M4+!pPv#_=>Ay~D_nNlFo&HYNa{>TdvyzGI3S^*92=K>Ho> zPt$AZk4YD3jU)5QORrqVA5+C<<*mq7hnc%Q*XUW_M1CK=`A_yU({RJ*qX@qG@(G6be-YI2DT!ySnqLa3a?5tB>zgMde)Cv6tW-KuAH`}->|tKK z%aAP!oS*~&v+c2=bw;=!r{SPTudT}6hK-wnYo84ZVTza0pSt&9&mS`PmGwg|pyvGb zTMq+O-1Cf)*FCe}iP`EU9-?16uOi)OTw3*i2d}+P_UAB{Vrn+l6aj3G)Pa*vR8H4! zpHF^D5acSrAz@q*?cbf*GIo6)A}z;NNq_uYYxT7NZHqOx$#Nj>yK(rH#B{IPStmkn zf~$dSI3f(e#MddzxW-Nyw4Q0cZqBii*3Ul3Z42g7;&;d==!72MVW}xJ7@t6iF*Kup zour7#L5g@+bK13sp-|GhUubI>1MkauOyG+f$5a(HA;662nD0tn4(5VK+p;Hds=E&C z>3$loH!;FNIGp%!*0%DU+1q6y*W^h`y6hX(Vo)3C*)P6^^@85$PG4*B}M+3>hCV-x4I zVNLMw`!QV|(foDwR8;X|GCaIjP@K#vK^0KP=87>hXW; zvzFbcDHMzwEu!Ye*P7Ab4w`*hQ=@6B81xrmpDjYnl_|0Kx=Ty6FdIWP;MA{wPWedF zJY*WBw@<>%-K|ty&NROD3(7}86` zMSF3@!+8d}lIoEh-p)aX11GaFv{jX=0Jf0^vdbzLLLX&-w>6cMR(?Oo|4r#63PL_!k5585D*PnUW-g;p3CP?Gv^3|c?G-DZ)u^a zP21_F{1b1ao`5O6lbw!#_mg@qgh7*KvwFmt`b7l$;^6m;LDPp%OPgqw{>9gVv3Q|I zgOF8J*dPRgaj+y$Qu8`ddOXl91acY}IZD1jSpMloB2g@zy|py5Vx2dRiw)1DQ9oHH zF{yg3Tk=@N@6IW2C=E`ZW1(JwsSv@TKl!!7&ek+Qm|j1{;^_B(CO9RF&?pYg&WEZ? z$1NTjIj!QAe7Viy*Vdnv{BAO7n_3yXkMcn87PFt!96{6~T4T%QR7i%CGs6wj3yukx z$;?}tUicabWJ1?+*P@uE{^FsyFF{U|6!PO_;n2xFJ4{$R(fiBRJn6V(ga-o5$WX$m zVRm*;h(~rIc8ycsqR>)?!O74ncMW%XAa>CXy2~RGr78FB{U(G`^PyRw1 zjm?E=;4U=T{fDYAl-kvSWKt^rV}pAh*t8tUt=(S1@8xg(Es5~Ii%%tf3rL>Z-FKs7 z+vqq9MCn&Q)F*WtH&&8PSiy6dEtjDbFUR43d6NP=KAN+CDy?bCO(zSh&7De4Bn#Oh zffks6#U8S<2i5ruzlg}eF8HOWIYY8To*|-&NNz?h~=YXN8_6q1$ zvRKJ9Gj%6Ha38+%KxNm7wy^=NAz7UI>S@)hz-RF-wj;xEx zQ^5L;H-63HwPd{9A`1ItdBJ)^ROO9nX4c$&9qQ^(;=3*GhMUYH((bevYqxebHmF(+ zop+9uJ;SE04|1Texf`}vn9^N6hZTgXKW^9JxL>t@o7pYeJzC2O&%N4ir;Cpd0j??{ zoQX(%ci$6v86CwpWN3)2@v;>@D@45**%(H;!GlZbrP0sCZKOI z6ICBM(sVWsX?AXROkTHWpecZjnd+pQmNe%x3e+3ecP|X$WRA~<+7=Zx;_MR>)8Jw7 zS2!ymQTiFeN5Je>ms({@GXvYG<9G*Sk+kqyChm5i6@2>n_Ut z9uexnIyS%-bay|ZC~V9l->8{d)mXh%gX3y{vY{w@n7c1gInNL6Hum|}FbHe+#u29k zE61DmqVUkgYOOQVE0-LqRh!W^-XE2RjkiQHpo%*^8pCFPOPd{i!`PZ1Z{K##P8=JX z7bPV6>9@(I_q)BWT~8yWzd<~ltXFb=)fulx&J82qCc~LbIJ~{gJ2(8cM%Bq#$a^1RJW1rUrXql%l>{P#ZZi z4uL(KrQ=(^NMv>R#THmHNBec!uuPS*;lUW!i5 zJIx~CdCcd&(cQs!g6TjHPuFaxRp09kG?Tim_14xC$*tdT2_Qzgadn<9NdUume+@@9 zVGmu@oT2O^fOF7qPvAViQY!&fFz3}zPyZ~>Az$f2DtA}y)QlKSM5f~=|s*o?h?e9MYj#?Q#J0fs#{i5iU?*K=+ zkpn))oEM5x!tU3e;)n5;8y2_t{WVCWwC9v2vU5b0RcXwLV2lJqBAeo)#2YXniuLBc)<8j-?Pr{Uy(v%zm(_~_RU zAOAx(t$ps9@sC5Pbj@!Bbx3eo6m29=6_QKIyMxi3L_d4*d|kTP;<8w-co-(aRhWwC zY*T4vJxmFSp^o@AYr&DXNT`BH%MSN-#K4uJ;p_;+!dtGx)*w;1n=fDlS@L@>VgL(T zzM&eUbJx<)KC$_abB54=T7=5!o?4n&#+*z1>UjyV;S={q=akpeAzm@_gA42Sg-+Dg zAMW?5aeXfoBy1AgMAeJd;h?-<&l4Rq&(pqDX5o($Wv#kKJGYR3_s@E=$i)M zfZ`Po1Tof4j9lS+{4 zIoiWZiPs>Mv~kqVGC}(yZ4X$(?#cJYm!qmU<6=>5)GuS8XEbpvX8vid0d-%8X2Dw9 zj}^_yVu+CLQf;D!LMRCx?O230wm8*PoW2`rkH-}5EDvda27bIjoQu|L4G$sLsX)Ih z)S^JHICGZMF(?@~!wlQrSEum@c93`4REJc=fur8KlkM89@8B5uL`W}Ab=oR z-t&XX)2LTnDq)CxvtqeT9P?a*^&UxlKef9 zn@yI3fDK}QkF85NyIfS@&2-meU^<1kwc`tvZz+F9mxrt!%XfE=zErRm{{A6q@U!Gw zh4}CwS^sb&lFZHSDKhbXEi9*njc%wbZ@G{&_&Z#|=E45^egSbsJaGOWu;nq7UH z3@q&@huAWfM@el+WDsA6!)3O0g}jbk=Ox&Q-30={Da#`b#^Lv5pkU|JXw$Xt z(mqewXiwK4;mj3u(jh=hJ$tMOT^TQqpQ$hfp=tXRUBS0?7ZTbUviP==^Tto#Uc^CM zy4U1?uw{XcoZNjA)ZOwXRNy`#SlGeQP13J)@YXHdfeGrS5`V5ca|v!AY9bk0+I=>0 zmzE~&PWMT<&|U&}xk08@OU(!DaEA9lL||#uYqr0Jf3@g{RB^oD`{HMuQ84gidnin% zd`;YJcuHl)AF#eiprNXyznx$;BsAzg#k<^pj%$L|;a&vS@=2mFV27T2S*5>xVCZVh z$3M@BKOFy{FO$Ea*lS?MGsm51Bq!Xfv7-Q?VY`k@Uk#QH0)#@)URlgg)E zQ2x?7HSJ;gskn%IUXt8=s6sHMIk8mAc!@9{A3mQ|;nW+oAe)0Xe7p)JoSUiy zpc1RaLYWz)yB}Oj%XHLt`0aklLWr4v8i)%IMxticlC!S+62DLAkED%^2yi^xdEQ|&b{yG8@%)C#@SD+f-c-~MlBwH87=s>ufvRVp^A||jv^zulT0pXv1^ONI zQ`g{eX&h9afV2=7eo0{o*M5!gej9b9nThvXP(>Bq7{_x z!kpA(h!rj1>x?y^`fA#r$W|}ZN9-O}R-vTtIid$)DX4cDK7zX@lj93(q(j|ElS@3V4k}yQv*InyIPFgW@w&0}S6+}!WLG4&*P^P@pr^Z^Jo=-W=$cUT zuhrc--e38lU#`qwSJ+a2Vl}y6`dm{X^|mdO{OVoBCy1v@s2JeO%QfEwo+6Vb!14D7u;~Vo_!^t! zxnzhz`^lz1JoU#UCiGt9tOyi12#&VRUYV+}h79zCIeW63fkN+pDVbQ2g^*Ox73-LO zT9Qp22*Ym6UEJ&Bl0vC7%6Be1qe&t$gZ}c`(!$qjKjm%%*q2(4IO+!G+4GQ(e^x84kVA~q0rBiv%T0fCw+5*z^UEdM* zev^d?V8bvqy^;B0&Hqu3&U{v52}RTJ1lyuO#fH`iTyPEQyzmF{C!RfX${-!maxx z;5yxV9UDVseyd?3s&R^fXv0&{d<}bCQB%rdu7#=d1ku}RWvGpR>F!(h3BNwmXiLliw0}+oKL!Q?03ow)HFA3QPRw{JYZh<-NKVR*i={r$oL2L?4UY%n|-GD4OJF^qj-6)4 z*(m?ePjf-Mfv`u?wiu$YtXsD%Km7J-=@O}8X9e;rDkZe{djKxNtHxK?Ud28%*iKh8_-Tt4qY}E zOO2m9n8+Xc1>OX&VdQpQRN-)YPwc4IE8P{ z(=Qa#&OUlzx!I0O+os|$F`&cGdy8E*`zS;<)tN8FD_McdG7Q)@2Tj;+sOVON%YjgT z`1XR&da@c#dQziC)7;Jg)a`VzpRdu87S+Tz{yLjHrD?nDFM%)eFU9<0Fp*Ay$q{H| z{)Etq{D@!A&S`X0%QxxdIT8env`EXlzpaVL*5v6WogwLUcjak*yH0T+##7F{1t^`W z&q8^u*@S4-F&O0&avto-OX8Y>VWTmB$+oK9*!L!D`U)s)mozW$x=bJ+F8D9!Ck02y zDoG&{Cn4OHC7S+({KTT3csS=mb#OWDRlT^PD8*b?~EU*jIrquU! zfq=6l*yJlQ>0vxTtvR439l{(xyWJZXG&NBr1=V>i;5kPym*jhI$34oc-PNz`p;7m> z`^p1kV^U;3IG{OlF*?#P#UN>a{+ScIM9~?BDsYof>?W>&&%Mw7jB&)9*Qj>ahS?mi zOn|VRzF7*vuzk*p>k^`NekZ2rQ#nL-o96sVVWGySQF!-oFMUS8l6O-Vx^{Oi!p!cL zzN1@@!1wqe)ZAtBzCo`}+LH*xOyz?yY3y6Mu2x7j7lhqAQL1>L{+r2v#V}F?ZTVVf;1ftK@pp1BfY%;lgMA7Us{}N(#&^ z80@8Zjk~Ln!nuzNuis?9wAtT?21&H)Cb0~R6!)L{uFiDMmZ!mcgPEZ(pSNPjaCW1@ z{$esHS76C3w0TM500l%iTwF|kvhN^54ylnpTfb}$F~z~+-clgqyEI5mfAq*W2sWB0 z4{eBd6|$$>FX5w3?JcBomdtNDSrlh5tmRH&Q+gDn(TmXEBOWH=Vf15pk7f^8ef_L> zwJl@ifiU%=XCUUcsZEWDS^Q>H>jIgf?ZZh#1LKAws5Zr=ITcF{>0LuRXD9j2H zmrGOuKL$ZbR!vDmmyeYJlm%g9b#!HyB9;M|mqb+oClN9^G72wDWo~D5Xfhx%H8MAo z0go00Ha0Xim+_(kD1Y|_P@7xZ1`6XY#T|mXyBBwt7T4eecc-|!yA&(#R@|YuyA~@H zcR1|*O85Ky|I9g)nIzXO*Sd8*2_>nr8l#A*oiR|-4&=UpcJ#S_i(f{w{U(x=09HnG$ynFR$g9i zhQHkbBDO$BOA{jyK*7k_0%-ewqKT0WK+Vp?66oylKNK_q7S7K0e9X*lZf;CQwoXiT zj^;wN3;;JvXMYQTD$oh&=n6Ci{FN|3(a09~ugsVbC;{pgmQMeYtJ#@3yBRqG0q+7E zOA{c->D|KxWD0ZyydMrwlaU7~*#klUGM4|B0R!OQwE?g)vHq9t-`;-_S%Us{HZn1> zv$Zz@d02wX0cMsqK!B2@Jd?A#GXuZ~Wcrt(k&TnxyMMottC6LRk@361-;o;uBt=vJ zM(+v!J3S{8M@xHWCnhILo4-c^4u4k(mRX0h}x>EZn>t0H6Z^=x$=c z{1?5thkrfrZzbzr;`a=EyzK4l0cP(>0DUaYfbSm&UQR}?K!CHO3(&{wpNjuQ2&}9C zQ%e(PfHBbA5`^%F{ap++`xkz1zN4i(K!@dh_E-Tdf4%%aR?^Y7iD1^h3UqTTz@0s%CCW?Ywrlf~ryjrITYr2p;m|8KzmV)=iY z@&6l;q>GKs-)fq__5VL=BU?)wkAEAy&#a5{`}`}|y>9{N|C)XR{%dCyfTor%w*OZv z<9}@Qz6T;8bDRH`(b7rM(j923Z0T%b@vmX|mt5noC9|;v0hR5XEdRPy0F10GEdNLM zzF8*L?>C3j`$Yb&0=_TK{~jp;GO;uLYs1($xd29vjz%5`EboKF#>olrVtrplQ=t3b zGYnv60@*pgy8zzP^8uLIIU@YkQ7%pZvwz56qJJT70JGR1!~H2E*$e19i1 zv9o#a*MB4&9Dhk{ZT}I%dn1`m|G@WXP3_)Kb8@o$hs}E&e`4hN3pu#F&;NfU?C+lcX_j`}o?hpIB?fYZ#AL{pb?fKK=ngbNSYEI*;SaK^3+lM9 z5g~A6-2WjsOS%6kjh4}C*|F2*5d}7xwmK_t)A3d$d8GHl+O7o6&Bqmz7q64n2H4QH zM3wd@?`MN})#?3qgrzC$!GFo36OsA>B6vbZ^^XVMFAm*mW@BWNM4251vff*cd2ySksoAD~?D{5Q$x%P2_UR+e!e9A5ET|m66xV-l&W? zWT02Ke}YJxS$)_(;D&G?HgLR)S*}t3CQ@CQ$CHIt1TPI68-MfA3=z6L;estSwaq8K zfgZXo8y53Q6H;*Xsj~NK;``OPULhlk08_cSnkXugqD>Npc8*e<{P}Et3@3p;Z$lsE zD_@CR8y&RwnIuAB(3@9ZIAA5zzkET0VG}Rs$)N)RN2t?^ML*U3B&AMe;FbDw-_b9> zqu}rkOFX0zet$dfv+v5luIq^&rC`n=3lAlj zml%08or`>}o7UfJE;odUz2U{q;AA?oOs4-5^?zL!+PxZyucz=}ZSq{pNA>5V`OrSE zZ}rrX^O23lBbFy=xgK?>qwte3of*mIy?5OF?KDk+#I;nBb8wwn^8_NmL9qQ3X|G=jaFFxHqB;^p>(*)gc+>f&z*?-*yJ{u=tnEu3Rx@$x0#osX^hFOzhj-5 zQ+6ZE|IGv$L9siD?h1K1T8gmyYth!ScYkKWTpw|mM$wzeMAc@&A<9Up&79wMBG-&X z1{bsrJlpbS<5X@OF^Tq;tHyQ4j!lQMHzlp+Pz#Ff@3zH?Y$9}YL8=ZTgrDEAuVrKU zoYH~}hziH+64IePV*Hlzy}eWe3!=ID8*)ZdMN?zBtz_=-VFPeN{fE=oQt@Bvjeju1 zpGzo_-qJpDb0B_v1H(Gzph+O?U=jpB15A(@=FC`7+kczcrFTzuo%rk%QYRcajwZFh zjwVjTml~+w6x*0Tn;S<*)yi>UzvQ^%9{s${34|ohi`BP4&9we_p=K~1vri&sqpuG$ z?z7Uw=)n82ZF&> zb7EmLN2=q^_wUZ{c5J`zYprw98t$H0bgl{zimTR}b zN~BN@@{xayr3d?+$fxw$$UJU%_wmcm+1%NfeJn7n5ssFah6-5(lps;0$njx{3N54g z8fh$ek$69I7Hk=nB)ltu4S#-^)F)SOfnQv(b5hHDADyEeK8HjJZI8s-%ivT}*3b}t zzIII>J>d3XZQupBsSv4_TdDE~C*dkagG))#OYHeTpYga=YZHHMz=d^1oq~5V#lB`} zO{b33L{n9!m(z#J#i_c)sMA9uQF$sNOUmxV2MweXDL7s$97lrIet#_=mT+oNoQ|?> zFqta9U}9Q*5JC#=4V%5p5>n|3rD`Qe8FH`MKN)ZJ1f`*Lg@ss)mDZR!d}3Tqe)+=X z5N-!cmu64TbZc&9qn+nSY~f50`$L$WkFD5w`C{3Fia;`*)J@>lf#e+JS53Pllfo>D z7jD@$e})JP=+QW#N`Kh3A45y=2fb|S;BGa>02fsr#cAeKoB*N+`Z2jZ>fK}wBnbb@ zwN(w1`d%_3*i9(zAyoxhD9`>}u4nB)wv=5MZ}<2dnLbYCgTLyBA`JIXZ*5Zj0o3nq z5=M(=wKHcU&6c)rSX1=^6DM zLi#1>yso*kaUOI8u+%cP&MmW5e5Q)z=c$2(N%FG<2S%#yd3~h8&!(iEs)*o8nSNmz zjdT}zFaceAya#zWYE=W`rWn>sefSB+6g7{U7egWC`pzjFJ{Fw7_zh{rFvouBN||B? zrDj+z>aAkD?SDx$n}T|hkW7T2w-808W84*TcOx+PQ6=>pIL&>=cA92V*~Vt=?;f8w z;X6x7^{PD=*FG*XHTjo4U?Fk-3J05Hj7=1mZ{Rd=T$bKHs&p_9EU9KDcKlfq_~Foe zqFR|UG149I&Gfh{rQ1DkPUOYpWFT#{Z8E>$S<7^tCVz;IFX!Ga+SD+tpg=_7QQ0^s zDufYK6d!t2?F^NmN8VT*K4@c3H8Kkg@r%gh)&A^Jc+PSc_g13%xfqWq*8nV@8!KRV=WB4*e&pSQ!38Pi|q zU&X`uO@B*-W`O!AA&gZv1CbU9zZxTHR&W#~EMXrLvu)&nRuG|E{cuc8J7&PKO!VDH zPAk8fzR`3+NZ({bGm>i%okc=>(3xTQ1rr00_M7D`B+w6_L{eWlo68A8`$}NRBg*+o zcQ6=~>b?c){7BLx@dP2R{3g_v2c*E1xmi8cZ+`(TcN-yUl?!3r=NDL$Z&kSo_t^Js zH@rd`MX#dk)Ct)hCi-hj}& zppIBnPc^E#cAU+cVE5sU9=F{ z{x0R}Kdkmwc6gX7A-6>Z0hoPj);XT86 z7|rhF3n~c-h};0-CX)}iC=2(PNMft0L+RYyb&Q5X%M?)6l?tw#u*XEl*xvQQR8IX- zKai@pK9lyFlY>krLv<3}(Ds4?Kr}(7%Q2~Tb9N+mB?iH#Np@@~y8`R&c`p(A0Ciq`mFk!w*nI_y_J}LO7OZFt3k9m4T!>e z#%(WT3^$NAX0Vz6hA3Ki#^fsfu(dj23~S<;M$&q@8vhBO6~#}4Y!mdkVElr$5xkuv z7!)5MN7SPv#)z#bQnoF~i(}3y_fH>R{hz)3eGCd#gCP~b$f$sQa33Uv%VOv#80r;=Ij_gL* zEJG&)q{L=B2}6g_?Gb8ORG+ZCGzk{Ks$fFe9}sz-YGZR+n5am$dd>1_Wk*pwpN1!6zXXMp7m?h-vX>gn2&qO~JSA^R@b& zl$8J{=}M?M2p|cU`@O{U0alkksEcp z$zP?z7u3uMkmn3nLErzytbY>$(MgD_lNji)r0N1J!Fd+im+GHHEcOI@thQ1ft7fqJ z^fMp{TXm(%g}cE4`LzAs%GL%UBqD=7mvrqn9n?w0<}nF$*QW57-8F{g1*nAUWlo@s7nitTiWmd z6<}UUmJaoN?z>tvi#O(>nERkzSFxpHl)v0Z#gA!GCzxq>X4UknVpHfoA`Ef*Z~ zxu>B+Cdi%QWMrxP|i~RvT}o%f=`V8qUI(IviA|MW%&jBcyjG=vu9*h^u@n4ON3om;x>j!^+T>G3iu}U zen2X;$)tw2(tl+seX9l$MT6tC;BshqTonN*?xo=;r{Q>VA;Z=-^W1NJM}AIWeBRNe z->5<=S&EBN+Lo|izHQ!R#ha&w*b91v%o?B$r?bpSPYBVBHMo50oGteB&Qu?7*wvI# z*sV6B+bj&?>cxT`H~Cq$qA!q|rOG+s%IH=_x37S@6n`7`aFxOus9Eq8$ud-UuOLuX z)GRm;FZ+Z@^(zFdrPrP`c>{+9B26%O9)bCQZwCU;cgBU7#pB@43Cxf8G(M-9xXp@>WB)dSwYH`wSk7`_H$wRhMrMguhf}YVeUxb=UDU^2?%320%rowiwV4n8OuH6 zn>I4iM1OhfPT75e=T1P>n(>`+D4birB39WSibY=`^LrpC8iSIRe6UNL#q0DcV8Ko61C1uk1|%tIlwQrb$=Jv#;ilc8g?fi zU1($>H+Z{|#HZK7+0`dZs-LB_(Buz47X527q86U$^KmFf;@A!>4bsa* zvprp*&J79m#EypaOz02&1E!P`&5!q^RxtX{=j z*|upSlra>m>vUYf6fQ3q1)Wn5IL54eUvB;(NT0`aB%M9wMQJ7ZGDrQ|WY|XgI+YAU7%m-(e*$y#T?;P-)!TVK>|~4LW~g`+o=f z5kBN>UmL~tG4qx8jDqT8GoxV?!B#a=89!lU;N zb<^^-p1ODcv<*z`1CK!|49`dlHet z1jq|H-J9LRI#-$XyMqykW<;P_ml z=rZLR8ec0)<*JaD;SnKJghr`PHp%h<)4~wx*`a%lzaPHdLaoP_QT0SvxZHqIbrOq! zhfsWo3XGnke2n2W(N#twlcFKpKpNO7e|WiR4B0+~9_jAEOrH4w<{1n{7?qn!PnNjn zPtbz7((g~ruYWO`Rca;oPTD#%NWE@ireXx#DUPwvUM&iyqDQR0 zF3*7vArO+6*BxjAqo+FS<-k&5ExL8qz-X!S1<$elr&O|bC(#UN;V$BNC!-jmJ=V_$~n!I2Bzlmg8v`mVyQ3W%TE zRvG<^hLXvU>Gl%YxjPZT5cgu(FD&Qqwjmb8x^DqM1$j=d0#&oO{K-KNwtJWxN;MF# z%OSXKy>3b_bc#dwDAr)^CK1``Z<>X3J-pwfdmVUc*hY#b(SO)43VvK(F8a-9UKe~} z3Q)^{p&!QiNQK%N5wF`nt=FAx{An|vv_NsA*nSzysPBv=!7R4JCUzavK8qkB9*xvs z4|^!)$ahh5MTE9LcdGIMO0aMbEdCI4XFU5;BLO5fj~8*gt(eAAGk>#+^DDt_woX-q z_GURcn$=)NgMYUcqzVVg@PU{BmNsy5=?uqiZ~sv|*hQHT8qRM)Bhw6Qtn^?Os!G}d zoI+&RM(!Y&1f`+`MfI8#fiY^&X1i~=LljbhT(>If$`i#@fg zL|EwWm+aK+SMU>Hyl+l!hs zbDb+FIw8$rv0VR0yIbtU#|y~vZe6)ued8*o033P#-7~#z{M@oxBO$2kI{e3`U*+1# zo*Bd{7%{DMwZ0$?|J5QStIAcCruZb6%0V5g)vt(lB^gnhBJNHIN?-Ux&XiMDxHop< zu6Z%V8hkoA{O(TgJZ#SBz#9{srRokY`TB2#bg z`4t=IJV2tXiw|#oY`qd0;o5{O3IE2f*qRu&T5tRj?2V>b^Br z>hYVb^2}@|mugk!PJH&j$-O*gPtU>;X#zkjctcZ#YF|TML~+1UqF7MzHfVB16UqYT z*PHz8zMdA+T+Yt*OdzXghl}c>B#Hf$p)4QI zYYmj!{GByXXS%|YuS-Z}Q%7tc3_ zaQLilYt&DLgQoYBrV7=}XD!3z-PMVe`KR^YlxMxZiAQn8as9Cbw=I6T3t%SeB1GzVlCeiD zM_Y0G@Ey>qR=wZ9eI6#laN@8CAAhi0>*(RnJgBfbqyu@A%Kt1s3L&=)7MBh4sNc~; z<)|ATQ@`L!P<35hV5XvPl<3w#m*pgQn8$fp;Zrm53&`lBmRBT17IayN@@Fn@!`$7Q1A z9DoNA&c*;jMm%r$UHfx(%N*EP$>@#nW5JfkC_faI`w9s&4OD3aWU>DTh}PRxLt!Yb zjNZ+(z1c1sY3@R#0rh+gco_|I7f_%tIUJLnJT=SA$1gXn>Qk>A$bflmPsnW6todFm zTC4YeLNV3YswP(L%GapbX@C5?pAI8&(8=14S_EMPpa`yJghL!5qUTY5$S_?Wa403- z$XAb*5jZZ2BY45tA{mbWUHvXv-6;*<+LH30LTbd0f(`ZZJY~Q2=J&0OyMDvl>ly-e zX}f$MzFlt(3FyWsTGNY3rZ46?RKvqVf0!k&VM-4TH5T19uV+~(i=Jok?puy?7EA3v9n9QQkdhcU16(CZw$Ap z6f@F^lF(X-KW0M2SG-LIn1NO7ioA{?3aJI2yb)VHX6a#WQ+;9e?AbrKyaFiD!Ld4Xq^q zi5j;pyaM8aYXwX2?b1i*rqQ1%bF$KjQYj(+MilG2xSDMLZFjx@DOR%cX^HMv*2TR2 zKK}5Y5RK&0osG_L*Qu=LL0N$7n)+e0dd%YEZ{6%s4&gouG56@Qid>7&mtwgkI*X-5 zeR};daId7ixqs1}SP+(0%!9)bUSC!|o>fa38&pq`$7wfo!Q30ndo()_To|Jf%opo2 zc6_C-uZnDO#MYWdOq#oSoi?!o;YS-Lt_~pwca|-HAJv&&sYLr=&F3(;X&a>X!N(bX za33wyw|GbkDNjNl{q;pZmh63P*Vi0>BnlAR1n=Nolqcl*6CFi|?v zbtksw!c=R$sS&4T3X9w3p}(@6-RMUQe}?`OzWoJX3WoIjs?U_R+#EQ%7_*GPp|}Ev zML7})d4HdxCU%~%uj@^49i?aPX+8QRJIJ|qikNsALT!f(&DVCYC3gmDKkGjFratT! z*mWY9^k>fcs=mALalVxw{KAG6YICyWal6iNLXj$sRFF-4tP~?We9<#}nL$e-1Vn&N zA#`?FqL+h*BbWW1B6wT;(y2|5HFYCGX@bDPo&WmDcYYE@M1_YuU>?_lYU|ixT(qxQCPavLy}z_X&&62 zh|GpMM(3={kp^}aF zZt&c1<7c_3kF5g67AdCz`!xZ*s6n=|PF1Mh%wPn~ zSXuB!?VOfZk|^vgR7k2`O^O%hX_9YcQK#rkpDY4orsy*k(=!B}T+Ng~T{v#WZhtjg zwq8)q=4kzrS>zxG4uL4*NO3d$jAHKgVF}jzFJt=7TRT_&7GPy#(h_yn!ujDd<~Wl9 z#T5=1BG&3hDtow;Y-PS&1*QCLR?>*|#*H4gIUGKM1P$Ze-F+pTJLTD5If$h!x%Cz0_s5#+|>5?EQK?k z-1+rfo&COXq92&l;8rivXbBN)5lrLmu0}j|5RaL-MRQA*QK?=Cn!($iC@jMmLdbN- zt}-4K`*lPo;va^b$_JVm$dQ0CEsNt>$d+ELlH{+SW6~7I7M&M{qg7&=_kU0tHC@U? zDgr2N9xn7=dX8k!ZkbI8%Q$f1Q|GE3Uc_44Boe3kBP~y6$YoNYs`Z0P`iNqb7+`jt zkhr>>{dctt`oN%$$hy3(7;Oi(@K7N|I~7dlzBg>|-@5D}_KpFr`*B_<4 z+`eDWh`PxaYaHHMFOo+y?yNb6C(5cC6=2;-OdHg8j-l+8ZX*#j>VMSxIH(hS^S)_N zoebyFI-Sm0-K96bI410lL_yOu21C}l5`Fa++fwhI|E$;?d=c+Gf>pcT%vBM_tn~Tt zJl!~G*%)(uBmQgX=TQ>At2W5`XxUWYD{e}CrwrLi=O}=sQR_#zq%K1vR50w3zX7Y@ zK>|8iO__s$ua%_>VShsFne%a@zXed+4&EG;_fkxzmpUcdC zs%!I7w3r~p47;Es{SG1d#rx9H0B&=%7Uv!7Q_p?gffWxgODdNMqOCu*}* z$c&_>*N6K0TOog@4M_1<$S3JS%Gvz2H}7iND|vbw34fiZ=`qW(Y*xb=Ep?bJW^!Pw zTZGV4>Sfa!aXr1?HfIbVw6`%NoLD!q1c6h?m0k96jv43W(>;3}b_lZPr*(~jm9^hB zy$s9_-xr<_@w;Wpxh1>TNJQnqEuSB;LK}M|kE?~ikP;+hSF9S^Pi{l7Rr%bLQiHN| zC(7z3^M5X!@8`D@RGt|dM~5iJubt-D@9mpHzny!TfGYY;g4K|YPGn~jYbhI6x+j=z znZbCXxS%EVxqhtoz+)6BGoA`~@~TG#p2&(+qTEUn@$)sa60q%d=!SWnIwNPOFnGQl zHn@xU)XP&I({f$X-702nu2kV^nmabR@7X8>cYn}bXK(CP91bM^P!T$|yD3n?{=E}3 z1E*tVLgPK?aMy!!mi~Q{>&43G+cxo*?j82yHny9Nr&AK>xi-VlUuq*fEf``tp@g!F zHqhdAEVT%K-%_1cqyBS?>q~!SuTm`^xM5~p=atHOkVcUN;#|gXzyR{~Pq|wE4QfTi zq<`o9A|7lgmLW>kd!>w7t=|>`!UYq2HnXCvdOV~YnxERuLdN<#NVZJ4hBFNqyP%xx zuZ-;*2MV)tZI|VDt6W zXyY*8O47c~UzsUm;5Dp|M@=;fvI}I!T7P7;jOy!RGV8ud%`MQ;7J%Yz1H|U)J7#~G zDr49&5bZ5^xTZe}+j$*0_+MNTPz7ILO{W!Vn`WMC#(PaLdh<}M-oEO0_d7uhoa90%FYR zPe!`3&OTX&HAGq~k7d&v`CqAotbe(GiPvJ?EJ;bwP7^{Il30kUE>@q>JCaL_VE+Gk-Zm6(U7+(h4Na9H<}WI|$V zB_kzB37t&e5o2hRnyHQZS*ZYsYm+0oa>dB0d0mR$y-zr7ZTLCt zLMSUV27$E(TKzGcnP;hW)d(9@z zho8Qgi&XZrsq*u@VbsSl%tQ#TvZQOFbE{x4B@{pTKJ6vC<~W+#fU)bu*r#CRLIS4( z8p6sl#O%k$t@sVeq<722zbctu$@uz!Z4K+_7%1d#iLBi)OMm&`r@~H)9jhwrqbBdn zmSL%l&k#w@OfJYxgswwV*P=`%o#TuWiZsSdZJ)>-w7o`M_Y^=$3AfM_%L{ydmfVi) z#19UP68I(?@FbTbr`wVPX~tG}ULZmwsT4%4p9@`%0}yo);Z`9-ff-Kq=s)5*W#`DS zzAt&G^uvsW%YTbbjgOZKavv*-PijIdfUwR(45kaZJKK4BX@4*5G($FeyBrS-rasEF7s-r< zpg@rn^QWUs3W7%$@J2n1JFNiau%R?vT9U0(OC0okS||}o(uVOA^j`r+^N+e5`i@+I z>}FXo+G?#3G0{v*)}JTSX&t)z>aDOE+`PcjAyWHJ!D&s6CD^|+FMM3mB&QKu6>t5? z1~(fiz<+VcqzeDF0=*>Sls8fjBgaK*D`k1u8(+n+2FZ3F(`ZgF;bq3~KH6uQR&}de zjz`rWX*1_&KT`+Y#lfY$5*-a>C3Z`4IXZ+(Xy4}++hFM!yLN^fbRX==1-~kw#GmBN z4jZLRt~uB>a!ythsaOG_KB)tN?!`}vQPB@YF7CrvmJY?>*%6y1Im#eB0t8`cP`ZSNFCt@;wavPICnENW)hR8 z%zuZhkhmhsyT>HXW4o&~LW5{LNak%c&0kdv7-Lb9*w`MFAGUubzsAuDDJXwH!=eP7 z*|PAVTstGZxZD==;r%B2DT>fNK9N-wCsdTFVEdg1t_V)UmqO*WC>~joahDPPO4`y7 z3{M_v@%)Y(`FU?@4ITO^DsfRAo0M_H!+)=*B^3DnYf=ZF?gg4VKjuO~G9kf0L}QFB z&#$CO1w|HS6evc#+%Xkm2$g`$K)QlZKy+Rcl==!|{zU@fWn2U83ZajTLS-=+Aaaoe zVQ8WQ=`v+-(m5pwR)x#}e?1-wX`~m)uXhKI+YD7VW=VmE(eLavu{&aH*2TSII)5J? z(Z+|DA!y!)906qEj3-^-Pw@2BMtx4dN}CxhHnRzSR3MVY%{V2#5~X1boI6JIW%?mO zQ3ltRDOl3{qDH0ZKjX({W{8%+Fx@bo=Os+!hE!teg3ypHkFcl;qco zGN7|Ok|ypzMMo!9yijWvbDv%x8&gys{B2c*NvMMOw#zC)RL`2|3vA~RB9M1tS1?t- zOi730nea*X?;x*p21gD|( z8ze{JA;AB@R%KZ`MezHSUw>b^(9&%mn>tQFbo;PH8G?Wkoukv)>BXRyM)WHwCyV|r zf95%gFM4u;-NP@*T3lu{nI5S|flzv+45;&zgCs2$ul1DsoMd7jJ8dq9&oauegQVBA zQ*p^lW9B|~__4c&96-I|C0w}>Hy5m`d7U;?b|jA2*Mwe47=R-^gn#-cz$rz(=a+#- zr)kNLz~VD4n$Zi7SxpVBF4Y$aHdxY})p~@=uz_2c2-=fky~{Ca52=>?N+(FYh8Q+c zpQxhwmCL)wp(t<_(msw95HF1dP5(Ay19rYHN9}a=XJ9VGOu7Qv&-$v%dHk1bL7G(sbYhk z)pN|j&RLpk`T?cCb}$;AJHV}pT34c~x6F%ahJjVXOoEov=Jj1^F zf*GSc#JwZJnz7wrQ#yR>?DgR}erF9D(sGS#&|q${oq-W^HD2!Apv^arA?IcHXeE2?WGh?s;*$Pr1HvwdvOaKv8zkwbsubFy3vSXwyehO&>F zSHEik(tijjAG07owTu0QTo53>8r>8E?l9nPKKmoNItt&F7AM&$lOj>KZhPqZN`Ob1 z`#gs~5pwiSeBF8Vw`+i#ROD*=no8t#e9efc0;%VWa!ZQBoHhcz@Y%o*DRnByLc;#0 z@<-3~rH!y-jvHljLbeTu?&jEXNGng5Vztn@mwy_TFqr^Bm?#%q{#R{&?pFlHRWfCA zrjR3RWQrw`?z!Q>}dauASB>HTkO&l2FPHE3by zLaYbrJF%k~xEKwWW>Fro-}GBb<_^47Ve!t)Wn<}whhYobL}k=BR!cTwuSCnIFWN}! zXMc-vw(EreGdr!F0Z3C#&`rBFZwS|W{Ws|`*!>J!H*>?ReWX%GaN2f)0!zaF*Lxov zpPE!WWGy?Sm^EB#xyDnw2Df1!*yVj1z1yCgGjraGEc^@H<{wjwulqWz$EGa1{W@`j zN#m*lqa@$B2a<(kj_eSU9o>F@FjTtO+jFwfnlwIIRNI92IxV2&E%|XHg49 z{z{l(#AvKvloLKxFBRJU&`ftATC3cgeX#Tkq@(Gzrd?XZBXCdnP+?ju>2cN3zJ+f7 zRg8xGT+C|rVG+khC!(NE;-n2QPLs}xIy-=5k>-iRm0kE6$H9Csihwproj(!)&VNPh zBz~M+*igjnHA(@L<3#H2?c)}DbWWY6%4f?Z*{4n{75~Ak{sn^2JoCF38`E5Uz}e<6 z))cZKe>p2t&&nZiyG|%Vnwsr)7ZGjK6YOE4Y$?BN2Y)P~9N28_MWtNfqkW=Z!Ee-B zS3iTQ3gmv3AmD%ZrmSRhq`-2T!hb!>B7W(?Ne%5azsXKKblP(7H$Ep#qj5YIh3D+` zsJzFl_z^itFzDR?>#=@73%Xp2q}eQ@I57Anc7lH_!m*DZ@;$QR@zazo*#6Fxn9Ft3 zrp^Svh^>S+3A^T6_!#;(d?*`Eb;~6O+0nI%285`?vKLq>=x~#9{0RpgC4bvjIP)Xl zDj%w&^a>pqlqvEv#CV=i^~~z@wuV&qBoVSorwRMg4=6@XY2kiAuGa+rQ1}b26#7C^3Y)20iUbI;Rn4T6@q7fI)2uer_--Qballg?}(#Vw-@<(Perq@T`GRr`O>FxW9)A^&kK#3 z&ls3dm#_qbr6HTzE`L}epDpA%!cQ#}`QY97h1kf{^^UW~w&)4$&V+h5^)6+3V8K-T zIKQ_z-SIXem5SV|n>65q{gVaL2|M@{4AN&;o^cieR);>0(c$5J^hUJ%xN{v`ED^03 ze1^+{jzGDy%e4JSa!~|HB@AC?HPSfdW|a-;j|UGw-OVY@GJln?f6|QWhdS({25m=- zmC)^?^?*}Gn{hD?yE;;Z)y@Sm;F2Van*F#TtD{ryL;u=@4ok9oW_BFG2C97Vc0_ww zK<)`-*{1{=#8M9D0AUY)HPCw%ehQ=9|G2HLuO|5VBL#@GqvpJr>s%x4!l542Si^m8 z#|8V8*rkp3jemP}`w|utE;ELNjyf45R4|m@o)*lQ%pW>~C*d1;sjd8n5fjX4b!eX} zv+ceSABi~oO>IpF4;PI~j9yBV)L;4G2abp@s*#~mqc>q^ot((p)cb4h;|n|YO*10;Qmq2zpjM%%B+JCCq)BBgy-3cJ6xCz^Z+fB73 zjqkVEFyj3t4s{pg!0NwOpn$G(H7JcHsRrVE0bv`b7_f-lS@F|>#>z+ z_77`3wK!y1!yDX#WQH?j7X36k>Y2u_Sw4MiK7X%~v^jmv9LxCn!UX&l47DT&&R0^w zV+*V*^dadfoEL~mi?HmXBhM~3Wc^>SP6$goL)6=YGdD+0O%D~wdhZDEm#>)fXAJ1X z7FNrOc5^rfu#Fi!4W?+4bi`*H1(gnK@;boM^F*u`pAj>2JU5+r=&|0yJ5DJIlzu|c zOn>&D-Q#gG4bShodR?LN=l>iHuIW8bY;L;!Rjl~sv=}de3RJ^6&O1!w%8K!&%E!HL zAxGj<#Fe@{P0GszXq(kuIfQ^1`*1vYpaJTb`pVtCq*EV=P_ze1zE417wPQUvv_xwVZYiEV3=j%}M0+qUhAolIiHm4Fcryu$gy-(HyuVF&$41t@X)TjZwNa z6iaAdbNCK%d1}8?Vyv5f-7@N`<|^2q8jY$eRk9f@{H#ztxeR5svMEjQwP}v@6S86>5($Cjk)b-#5va9YE+dsz1*qTr;j8X|SmM;vcY~TuLBUHzUvmVIZnTUsI8lr4sy7NawuU!p6X!et6Yz{m1UgBGl3yKI8SlCgS? zuO;p#V7th}Or?WRtQ=yJ@un9^%VbiJJjz)POHMEQN%Q_HP}1>|W34T!90(@yyl`!+ zSTibmWyTP6;f6I1(C=(T+ZD;a%9UHm=&x&Une()Oae;&HE*T~oAvyGS2k zvyKR;l<>-dR@MkF4?W5Pi=@6wxuaif=or|Vu;jIz~~5i%eHe@wsdOPR8W*0nm4 zl)X*a^Yc3L#p9!68c)Cz3==<#8eqp1&sj-=zXfbmdT^PydFYk%btaGcs}8w4A*4JL zvHvk3();R~kx+IZ-ZuCa+G)J<7>k<{l#X7voyi(LBuy?E8hqTb1$;w<^(Nq)Ftks= zuDVt@F6iQ(D(;K6L*>N|xoi~+yQGjfsn@8&T5|9)f&zm-bFeUgw`6nds1|WPsF@^N zKkw0*WHlQn$-g{UnI_fKw1)!Od9c}cd|-Z+%G6G+U;=IaO07!S=|&IZnZeto!?bhl@Aa zfh8xiQ^3X#O33Dh5t05=hA4Frz0*+!P*OIR;?Ntm(iup*NgYKx{zOC~+iTY4(r44? zWNl=!3f?_a5+#%I1jl@OaQ7L04C1=>RnwG*{}ys4U`;}m6`4TY!Ck=4=ky>*x(ot9PCUisn-QyRDc__D*9SIyPUKj_dJ<$ zlDshViJDi}IdvE)5NPO7{-U6~yu}Vt(C5f- zJ4~VZUAvM&=KyeBZh-?4IIu{Bla)?@2DqsH|gFq0S6a#4h;++JdCW{6tFaZ_p7;Yy$ub{=;hT4=zJvlkpG_(!KB5E*voxxqZ1U=LkFPKp7WB-N- z)qa;yAo$-vy^kv(#)Jqtwh$2Ac2r%${3Zl@GrvHP;N<$E?i+(9GYawZe(7yo{H*U4 z^6O#3#(|;)1@r%HA}E-Kjq(@S74rpigB1kw4Uh`}`dZ%u>nKU#j-zNmu@Kxtc6~uK z?ZX%l{)xPL1M0q{-kqUA0{!J3D4~vFoc&2a0Ev-4#v=i5-J>}NU`G!{-ot?Cc=>3X zMklK|D-I^suV)J2&=^$KpX$|>+i~yvDppmE`xLBnkYKw7c(-OvPSaX3Qc8NasS zpdw&M;&8IyQ8a!s&fv?V6|ffBB4`XdLDbWL2)Jtp&(_We&n}Yb#!%XJE&Gqo>DZ< zGYCvJ7~Lc(!0`Cn-E-xWO6_{z@%}>cDb1Q+5a;XqJ?)*xI_4O&S?Z&Jrj}}=3Vd@h z%eCNbR7S=j?0hubISg?Uqu>E>GvmtUt!CRa;ylxM4C#Cu*cF;nV_Ay~={Mu`LyG}1 z^P9zz(K^h+C5{B{1M{KWV1o3a)ga8M>jTbi9Me70VVJta+l9+lm1ul?qy;lXT_+0) zIFJAi!tkzs?U_h^egecSDmKgqJHx+b&1Oavym=q2F6b5YIptH&kUGG#6}$c5Fol4) zO*`a_I*W--ysR`mNDk$PdR^xAaQQ_4%#_(}#?PQUGnZA9(}^YLz65VmO0e*yCYD(t z^(Vel+jAUmCfg;R>AwxB%H@+5 zshpArj?1Bnw%+38%~64wv&wg_>(I{hERG$qDlL#~MObdgi0Mui<`PmN+m3{B=*mga zfDZ8HUAH#BUN&*@l$rNR69H<-f=#{15ZDcb_dj?gUF@)FtSold#9$Ta%^_(~`eU3t_ROr}H zL->jv_Xk~Ha(@7i8$9}D`uZ0)O3nqb_}JbyqF!mm{Wi9H_&X%>bvatc+w8geEsPw$ z0b2KXOlSi0kIppXww)Z}AcET9|<*-LH;_CC13N_pW*pf z8o_Y{w)4I1Z9U!srkTJ|@x0Bz=%O?C8JDfp@@)2UWFl}|J)U^z{E-`GT9(;{78hgO z?b>ipq?tIyHNvkpjpeH&Pr*Z3X8th_x_BKeP1Kx7wv4Obds#XTi~nXTez!_z!}BZ? znV{06E$K(rP9;_~*~^`;*d^gXWT@>+5}rCzU8^Lz*jW@3UsD`@IMgzetvAu>+@X`h z<2pI*Ith?!Sgb}7Mh2wen;DnOx$-@UT_dMP9}}GMzl>t}vMHMD#%|uxNo-fN)Z|>{ zL?^3&20GoGTcFC-r4)93YcuD-h^u}s`t!qPzRD(0@ZDfg`>T)=r{y}42HDghNt0H^i`_gwg>N&gUBx}UF z3vz|;Xg24in)JEZaGmv22O%!nTgxYMo)(QDHFG4mF{R#o1!PY7gvSM z>)PuiGs17kJaQTzb}^1dMGMiMKbspNt|~r7A1D$Kq|j~b!|@gF3;ONmZUK_2b}`MY zZK}3{*3No=3-#&hA^sU!g(H+o1!xIlmPO=3j^L4~559+?^s|j4bTR zYh-aKXi7_^0-pWUqizz@qW6%y?~QBz9(?gdozRTNASB8ZsZFfN0ikyU>tBQS!j@_# zesd!h_+@!fDolx;aY&;@4s#hYhu!{D!pKSppVK9;7R#49dxk3W8M!G^UFdz|`F966 z!?xy-790(D&ES4{9FWj@Ya1X2%2LI>=Wfns+jCQpxxhw>v8-Ducf(QZdSQ}GX1Z&> z0z@ITtxLGb#Pyt{N9V-hdo;~qn)(JE+$D{ibYgu@e}6pjPfOk*O5{B0QkXL}yrUW# z{f@=D)n8+oETWG?J(&)(U$Xmn(Xn!U$8+U=+7)rLd)tzln9@##_}SG#4C6Y}>o)U1VEs&1_nR6U4Prp?OA7v6na`dG>I-i8P)8c)Rl@TIL5oxtE z9J`?;t+@IcvVxkQ%Ak}{E1u5RQRHM5BYwRr0t=rE!UJ}?!wDZ8Z#X9yh*6_f5D?(~ z^AOe3u`(;Y7aAL|sLF}Uu|&EAgS=8pSgi`=-J{8KqABX%Z@&}{Pb_dfwW?I#-**Iq zY*zr)_|w1r16pl+#zx$MGIG476raZKh^^7-o5VsAxVGN8H-t#JJm3Xe0S$^essL_T zoY1lxky00vJ4j;o7|0}Gm`;ZsBnv^3n7Y&sz7rRnDb)_h|MBU2D~QMP#%1lt+k=cH z32HgJ@OXXJN37S-JyXksS*ug8Txn-;{i=iX!2V)`{8D4%8X$A1$-Ho!kQPYw`^`JJrB*1y(b@p zyRQ;v*c%4g0?-ImHoBL4JeF}}Tba|}7>5iA70Z4HRh~-Vx7A;;!^FB|#7zY-QnseJJu~95FU+p-XdXq+2Ibn#7sEGkH;!vXTlCeF2XDU(V;Cn;$AfSBD&2= z=aR(5k8u~8Ne_`Hq{JpV9u=fu9zAWTY-FV?-FE=@CjEl0@Ko>{$dz@pi~@*}REEG^ z)D)b;d78=!B*Q^PTKKrfNpyE3q0d&sJfaEMhYU-+hKkCLf;D+}xzy65t_n|u0R8&D zwx=`WQh=(!5(@-kprTmVo&xfcZ9g~pxIE~pAUj7ls>88Uc=uZLL&s_buZMRm|{?KVmit zuXzV&v-61D5yNls2B~h?&;}3YBUc*bzm&(y<*}!-(_0XzN)oMKg}r zC*3W6+`!8Ig4E^5uI+qC_e^m0ZPNv;6!xYK)b}RN`k0UpFSUAVpj1*W35!;w)r#nT z{2|OLsbp6fSCJXUw-XepcIN6N7e3`$w3uQLm{W~54RM>c=3}&OvV2rAkUo%xYK z#Q24aJCxLIYqC3ZPsLPJK4wQh?pW#G+V(bI>yi3 zVLHai^O%|_WTy*Rx{|$LhKv#-oNmu5gC8&>FbF9#QC%-jN^gu`--Fl|QgO%# zh;MH5cDHUBGXw(|8Q4$PoiN;az%tv%#xeTSyFm$GxInWvkB!^+FYB-G-;z2duL9Q8 zev@Fuz7@B8@A=r@e}Ib*tyW=YS$1p1<+IoBI1P>8ATKN3^Qx(&Dl5<&np-6k_J(cf z5CT|ouWj^+hPy4CiK3l^+faKRK{LZ9!P5#Z;!?IJ_HG893;USV-73J-aLtud!`P=P{TX=cn0eC;iG@PBiilVO zr#Qslen=G@eF6icD8SN!wAkML+}DLd>cmM$n?nHI&MQBK;V)kA&sKS$=g$O5%84A#tfOt_MXcNN~41LYBi2 zF@S`tQ}_=3s4RF9JTp!df1~ZPW7_ggmTA4%7*yS4VkTl|QggZUvOu=mTCU`F;fj6Yte5XzcNr1q^6k@Bq(f2f3czBWIDDO((c)+JUiNt z#?y7yi00=|E=wsfvtk3c5>bz@6d3atN*Aq*+~79g7S)LBnY?R1u2M=*g(nrLMHvW^ z9-)cijv}6B%@G-t4aoBtVll^6%`b5Yh%*6*nzR6pMEE|A(~^Gc4EeURBxDgT&7`Jf z9FM`VgJLKVIKGgP<8v|ZmIONL&4{z?dxW)2u9O=i4cTH|L$ONRtcz&p1Mu6noaZ5C zsk&LdBZ84UXr%~e3>qpm5E?fUqoNcTu=S|Gr^%3l>Kf5*O`D)QE#IeXEBSh``z!$U zGY!Q;sy%wvlb=GR5buvPw#Kl6{+=SmJ&Y_W^>s?^gM{`ll1jSH(Z7}e9)U+%Ms`Pm z76F9MS(~{Shev}gUCT8^`LEs1t4fe~MU|qz^a+)E_YP7P+zMrT*xRUMyCvS^&4X1O zGujEjZrkyooN~PCs2qF*NkCPMrz9Xmv|w&Jr{Ss9@-bLo+g-e_X+}@w&SAcRKI8Cg z@@7WEMmfgeL}jFmu`!9QkmLDDG*PCMAgL)`IIZWZWTTQo{R5uRcUA_9r{x^uM zpQe+xi9N{}bcSOi$+g;)UZuy{fKPI)I6m|mT#8h7$yX&mJ7)b>@LTz9;a?zyC1pdz6RtYh&{OEgYM-`Hd ztT*unS8lCuJf#B<25K}sm7dct93b!Kqo5f>Mui&5(t=gF1s$oRKH>xSRMM2{e8$n+ z$X)UEA_8FI&t&_~1od*RU>$?T$R7?9tGNv5ve9y~3WJsyK_WOwt zm^)J5?8bOY!Nou}^`5pkx&dbcd4{eaQ}=JldUGwqIlK<i-Y7%&l0APfY>@A)u*K&{zx0l7c0N+u@?EA zunlG5&>%iS-`VrCpn|x{a3F28Pg3HQE_7<{^3g=Plx6gR=#7q1wfbB+ga4>+$uH~% z86^GqXC~A@+rC`Ws5a2CtY@&PbzSntj@)`vI-!=yitql&dmnWTP6+F~_(1>n+)A#i zk0!O+@v(>!HRCv!Vkdp_mnjN+rIFQVP}q(9ToPuXAiOls3IyZw-8A~r?k z9sGndIi|!Van&(;QQDKZyLkc5r}SXZVExCVn~(o%Q4t2YY0z|g1!&moOsbrd|PD7;_55P z;B$UA5eoZoLmF@fYbIp)Ic?KCd!Ed3P9QKsbXz6=Hmk~C(;?z{JhpB%gVOJ`T37_5 zc!U|tb-sTP%+Dm1PstsdfGRdzyBQ9%E&+j2_?&(9WH&4x_+<6g7$kQ;Z;OCtXzz~0 zHx@sJNjsr)rYpd&fNM^%%|j&&yREmy?mcmc)h|{=X#@<>$XM{Ob5r#BFn=Fd>ez(a zP2mk-ZaVOU=lj0KTYoV6E$}o{fG<^bzl)5oBq~^pX&F(X{lV4gS}DjG71Nqa_(F6) z*hA7FiJy>Bh{5at&*jEWvv%B-os?7ZWNunsHEN<`kPVG>bi8eW-(W?_3hC4c$I3P*3wHCjXEFB%>m zfrE(&%N38~tVwe~a|;j6mi1g~!n0fY8>l*hJ@GO5W_tfa*T1IpNS>@2R?C5;M$_qS zPmQ7VsW>)9Q^smOc;|_FYX0W(B_ve=wyc(Icu+u!1`{5Byq=A3(UhwwPP6@}wcXW+ z)D`D18v;3Nel-U#znPyjZpL*kXKm?-&z1XuhF<%ZF(q>G5(la{sGOtrQ|4IGthOC_ zqaIaXQ2Ch5KcM9%$dg%;BrJfNCg&v!%r7?IaR%!0Z_SoOdWpEb6-T`ymF%Q|HJTTn z_yMc*4l-{RMM!ln4*L(JpS>G0CI%>|)J%VVp@=*DV6V?yj*+US`@#0)NkrDc`CY?` zzraiqsx+nzqQDd1zWFw>rIYG|c*AhW?rzB^EzpdTZ96>gtG>z0-u@UvoMhd_-sVtT zMyeUiIW)7R(R7Ned7O7Ilg`>e&am__cq~Ag z%F2K?bCUr=;k(#;971Ej- zpmGr z2k!=A&f z!>$#r8@w%Q_V{$iupbf3!wPv+ZM~Ug+*C8dPe83|+C?IDcpuVqtLoY#5&H#^&;`5)#-r_`@kxA+dI0Ai=C1ceQ(eo$hB=Q0}ShN|5f~ z-Uz3@h{J6Z3Dm<%1MK&WCJ)EAV}pTABThe+g&-3|I!SXzqNBT}biLUmHZ4D`sS9N6 zwTAGRar5%wlRw5H{r1qB>&m)C6M8+SIMv=e#s$HPNkj5GmSQbd&OkztrGW0X1EJ(8 zdupe(S`rzJ?i}Ez0sh%f_5Jf(Cf&Kys8p56F9vswRVk-r0tKe#{^+1A)tWOMhq=G_ z&qLMHF>=RMNg|0Ni!VQCWlFuE^imVv7saHSpCXvGN14O^PU|uO-L31;kw_!%kPbSr z5nrIACpFG+rgkRIE>5O~wyB>VpltA(@}dgrqW^Jbj>I3WSgD2hV7B0vZlDx-%v69>z_292%v#LQ>hgu znqoCn^vmFZ0KotQ5hL?6LIVQ>5dsCh0dV_w&_Ez*kZb7#6Or?v0s}U#H4hExw;XD_ zz`;Dnds0A<@Z>=hb#OsxjH!+Ge0~Zh7Md80RA3;dIX>%f$+uQ!CZpYL%vgE=b0WNyz1c)643Paf}TG@ z{|R0F!CSRM1cK)0XDg`4@jH-b5eovEXa?%I!V08OPjFUX_#1%W0RreDf{a4HySMgq z0+3)L0FTbGV3$SPZ$C}%*Dsle9S>aAmqN~wiZmJvN9g3 z2fYQ1a_khWGVVW!oQa5k9^kO=3@+lUHu^<_aGQXc-+aqxZjOSn8}dXW0Lh4N64>c# z|G91J8qm+1-wph6GbpXvtU7AeH|X^eDHs=i(VhFJ}l=Jvmq44XFJv2vCTw&z`Q5xs-L987T+f?C-Xx4mDVm zIDE?|K00;)6(=V~20w0*bupii;Ur|7TG2|x=ynm06TD}{j-*c`> ze9L`J5Z~u1|A>BIAMCR^Egg<>9TCXLHW&vw3Tmy8uiuw>`j^|wSJ|6J(wErIS9WXy z55#Te;j`G6KxHxu&fW)h>|zBESecI;juTkkm+dRWy}2%%P_u#i(U+MTs`@ByT=1I6 zr%$*62N_U{J*o~JRqOank}S}=TLT*CmrwLP4exn55Nrn$4(1&@G>aOK;-GLhWbq$I z4#NMBBf~WLuYP9G3!y6cVdC2zMu*xkIZ=RJLlTe7VjVo_^nv*DQzH1gfD%po(`5JU zc=Wtd5ku^>fRm6#ihh9vNP_%D`r;s>McR?z2Xp~E5YTrRXwG8+6j0JV*tf1P2`BbT z2TrH|Kyv#3f@G9Yc#}X54)BKfU%Q%j1rG(2JJ?{AP;t!Qp>F{HFHQ*p15R{hv=J%O;V zG>p=6n8P^3J3F_eCZ~m9;6uVbiN~H>JXs|@Ih*5wY7({M{rb?%Z|Nqd32;nZ;Ez0n z3b4ywq+KLey+1DbEwXRZ?Zm^d1YFL%V)f{SAQ#E0G$Yn!ROD^_QJm2B*e0* zEJVX!RDC}_D4%1Rn4*@N7K@V7>|d48Urgyz1;W_0I&Lf|{I42+7_kMV@Qpm~H`T0d zh?2D^3mpH3G%Z^k+}R^wYN2=dA)I5-EWSw>#{-N_yfiSinAfFIdLJUXU` zNb#zD$vAu0(u=#xxUJG{3z8)tH;$a@U&6_oQ(ocCWB@x6V>H%;LJ9aLS+eqkcxFLe zy|7#B@%??aZj;is7YBNYzlhOpX)rHrJocIlHBy)Bm1>SWhrC_#p~aZ1c@nbjQ&9_H zg-H`rFmj#MP_rbzNeh1tFrqX}9LaVfe<9oaY0)8U0J>#fX2EO4F9ouoi5fVqyy1lB zm7*?^#Q6j56Zx_{h&}2CjS2RcjgNjdQY*PBX3gCD>P{A;`39O7FOt`Md_zKGfK+}K z3&V>u7i1W0@H(S{TA*dsq5*w94UQWB^#>=9Y$9jwl|2Yi=jJ5|KzWkFHEeoUKvYtq zTTSM3?DrI4G`+l4E+1s4MRL5~NZ}0;P7hB&aV!rtSx^SXn8`W6@r#H3b<$WQEAQ#BUPu8I22&b?3Qs zpkfK#;rZ1NtV)JgX$N_EbIFq>F$5TBnAhJzs9mCYWC~${=*5fFPJ@xvp5HMRGxpjv zLBXWv>4lm-21fEM@IpvmuM)#C;~}-g4}t&hlx=3vEt)mvj-4-W?mukAo4SE8cGjnMR+!j&=k;t$)mr-%!9} z8(Dm=Hh9B>2qy&A@Gn%n$hkz@+lNxfSRi!SBk20N5u4R~+b8bP`B?%7hi$JDF5ikt z5p1slFdNBPnuDc<_BJrl$~2kL)Q`|Rq(CUdCmFF62w_W#+6}5u&UW<<{keCz2H9H- z9)p=%-@blE#h}ACKEae;Yd3!J3x=8)ynjkH-Q8OlX#vVNn zNQjKRK};H#W#=8ui~bx%?hw3~P%_PDn|ixVk|3jvxVQDLIejRHr#D9jB5ikl)-*$6L}3RkQsYmCOqyDa!)&{@@q{?~4=lr8UU$Y+S17cK9r zq0gwq>+#EGYWLaY$|l5IKKqMqX2MV)Ky>1HHgyYa$-B*c0a2*p(F^VV{Tb8P5)%@{YHD_s({wp1a{3^ z`NY@s$NETg*2nIOM3Je}K8CxpXFP*LJw2g%%r_h0)wu7xZW9@st12&iDkF6YnT#v{ zHR!&>%Mm|{)Ms*Z-P}#c_Qv|~j!fD81iw;yxLaUk_O7RwjJ`~xMZzCq53a`$@We4J zDseVAz}3Vr&%OD}B{lMk@HvGk9T;q(wmh5Q>N*V|IdUKj)oJ}jv9*cvM4%zJinLZf zsBm=9k`Q~WwVBgnd@$tQ!G1l<>72G6EcZOglx-B){wcd&fcbn`SI7K@z!e%SoBZxnM$#9C%%L`#1dF7T26Je#}}$j!sc1g6Htg`ys6OP z8ok_a)RQNlIiYS}uk-R**>y1M7ZOYE7%@b2_c@imh_T{VE*7@`a;%09F7Fki<>0Cj z-pl@zRZSaAXLTmDa(}1N=I0FOAoD|^E?N;|zvI$oaUYW!?|PD(EdPEZ5uu8|U`8)aUCg+z8ZbiX z=J9Zj{^6wEJy)i*#6~e>LE7(L!?#WtQ{L?*rttFT;U&bEn;W}hOQ8(EpD6qhGzhJ{ z2&ipFWmx**I*WfJ2ZSgWEIu`HdP&hIF4NU9q_jH~h9w&^}`1n^?Ddmo10!yO^Vd?36-<1MvouWiK7yP#5 z55Y%fup>M8V%5s@l?!jO4_BO^FLd}w+X}97OSmH+8tc-Z20B90I~v;|O6zM3AC_Jd z#qo(uS(y3uy+=>Xw!0|)AT0gOYOf=0h;dUqe-^?HHQ19A6>C2T)9O!6YY0X2=Iush zV^iihwi1o_5m2l^jhW$t={3~dI2-AnJy%}=Nq3kPYx|Q4TtVDF#u9B`@lr+hkT+*_ zODRV+Latsg3|OyHJlk_7TjBvvPWHfTpEZ}FG{+^-x+v3^VK368c&TjeR9YI?BcbVJ zJEYH#vVFaj-y)DDzQV%zb!`^WJzEdIfRM!yo7Xw}Kw^+dWp{a%Wn=NDupZUPDAOie zWnyXw+l}A{C;P{SWyZ$U4u_F^t{8cJ-9M*HwfZ*UI&h!&<>FKR82F01mAqt zW;1Vx3cPu}FlKFII5~AwTW+4lBctZ+1{ua}wL(Da&z%`gts&<`re|yAyna%|qDGO< zv|S(j5k!fRkh&ak^(Hd!6c%fj z$Bf>Gv@$bbJdX-h&a|{%Y2}rz#EFEE)jG1)->k|g#>S_&6Mf8b_>cLmM8l#IgD}i^ zAdtZVa#+3po;HY>Bqbv}-*DrD3;KN}jm5+Sve6E9X_fEh)&Emm%V=;3w2zXw}Tdh#F?fH@hdY~RFp&P)x~$2G?Xmo_f?SRDD<=G(OWy#g8}ubS=!QH8>A+Q#esXYNene0ut`qonZR{|q;@@7 zI|O4=_tGg)8Jbe=xfuIpF|}bPn7Ms$9GzFu5;m5n@_PiQqRY_s*NDG;$zOD?M!@c7 z=cn0sZ!23wq%|dQe}X)D2TuOUQ!$#uk+{x*lHWlrhUC%q@^-Sv!sH_tBDNilh(i=F z%O6`=vfrYcaWxZ^>FeieHO*2~LZm?#YJQE1Cz&T}bn##A+!cy3FD+uLQ)TD&Ge%ky z-Z+pAt8ae&5@#LZeY@weQ8!wRpac4peB-HGd&-}x-awbiyw)4$PlcY49nJOWVE?RG+WUzUNJ=qxbx zH$Rr)T8@s~)@J-oXR=a`-enS|$@*cSjZ^?3=8@N;ql9-=mLyN#!w+$4uD(mIEz2al z=G0PmsHy2hDRJ%3K!IvG3BW{8&Muym7axD_G#{zSo^sVao*Ei_Ge1LQJ6O{p!zE%w zy86!B&k9?XQOCgD;XFC*1oQCVh;awYW*{NY^NRzOZ(p0MvCf8hMlqb?p2cWTLFgs0 z#Fe2(BlICQR$QfcsbtN>6pB7z-RaUNXfIbZzqzovqV2F8gZ0NAWo^XQaU5sPsA>|H6WCyVD&ejqpg4hgj8mE04_n> zTDAONfd^h*lIhZlH(}6o_}vt$O&HI=`kbJLZl{+0o4Kkpq&WNCZq{!5e_MssDkU$V zokA_i2_aM)?CJ-`_khsnUvKvbFs_|`k61Zk{>*uVMYIxQnPp7s3}ExWtUB=kh%Xjkx4cX$J9Nzyg= zO-?q}Rj9;@gYVM&LX~SMa)|3lwbT z&Sq?KpCGJ_G7|_*Xnm_O>4_=hjo@+#YD_5kP1%|HtyXlV?j> zq%6J~nZW#$uf3Tqr$IzF@*m49mXk%)hj8oJnQX;Xq%BYhh89eiEDyC;GMuajMFr;A zdxpWu6W@Z0gl34=3e4(>FG?E>SAMTY5eO!vh%YHKECpafb6d%0%gcK{q5{uJLZ}Ln zDmHB8ypCRR>9U3xPv_wM9Ky*3Ee^BL{}&0?-C?e$qkR-T8!lePgV@oWtUESo%^qon z6mT>t%&5M}vSECxtgh^8X(V6%DaL{LO|oqTXf_AsFtOXV65cSA#Ukn!lnk|X=9)>!ZaoIh7uMYkKT4fE-Cg1* z0{X#ax0BM~Qx+SjSuZi#4&1V3j=Md!CUhEiaZBBHJU_x#tA`>VQr`ONL&6;F%Ac0( zLJ8pHX`OY~>biA|bt#{49>a~PtabFiPA8YnoMia&BGgAYN%@q4Iug;qzMM@Gf zgZZkSRu|oeSpElk7$GZ+gmF96(_6c8Cr~ghTC4>Ul>HdvuqQT8Q9u(xbSVhNp=6ZQmuGUO7w zkt3d{gZtPnaw%_qr9q6xj7+NQL{8}y>*lDdgOKZqyboKw)7gfYXO@Uty&xq}vpwJuTlrGa(Yd4GvNW#S?^EfwOu_p2<3!3%8Cw>g zKC`__%)Cw3t3A6z?6q33W;9EZ|y{Ylp zOUhdCEzZ;sCGc@%KYsk~a~X$(aLyDi{cC9MDKFxFm;^q5Q|eA|FM2_f0MoVDfhg*= zROX1@fEu~S=4jJ8>_Gee#pq)1f~fXO>mt0RTvl8azi?A2P<%xyzQE#>78omxL%kew zovGYF@SWIc*%;OyF%&2H){zZWKCkfBQeV26EsFcPL-RN^rB1cmngpX!CbMTNS5~fb zl6$${4~k@@9y9JvmQ%{YFaQU2SF%uHUrFfuh`xS-w6WSiDnoW5l>BjX)0MYwoDTkM zUc$+ab^Lcxl9R5{sCs`D6Y#vZsHkcWNYS&P7g-X|D;3m_V|0ekw79jbs(p4koISWW zxrRGwuX8GD-p%$+RtocwLh^>nR7SXq-#spmQks;~!N%W5`#sbaL^=L!qRY)I`YU0< ze^17~>zj8wWL42j&bf{hu9c?2b>Yus^X2C5Ivh0~a%V#-+g7c_FaRZr{3f(b>90z! z`v8<6#}hl%_9M&%qy(#ZgHI$?Z>ikVO3lR&hNxZ|I8@v!D{VS&&B=xQd#sKZ{F`xS z;uDnb*VWypQaTx|3v(!jh%oFZ1I}Ju$*|h_1<;Yj;9i-!Q8ya*UB36<3F0p_&uvrr zy`T{%9b)ic!gv`o?*S%?k_hVipKq0Wxm%2G4w;8FXu1F&TdVd29~!Ynab4qZ{%ZzR zg2Q#0>5)-zAjNv2&^`)km4~v`>%?f;ik)nuZoU$Ax|;YI{CBpxS%MqfdV35j&W{~4 z?!50T8Gn22W|{KXG!?fe6+xV1@5Zn~T`s_g;)ll+}mo7OM?#o5^M&B$yz7xWo zuqffpr-;*|tO5k1tvPKi@aNR*_?towT;nYZk6^Ztp%wl%yt+eA(-3y}U9RKtLJB>B zmkC<%D;o(s*41}v(?wy@DeQP&(9QJJsWn8enJ_cYqG(-pUg5pNe**J}^6TRZ7c7fh<1G)~M6i%Et* zF1i^J2muxi!$G++t*`jHO^>Xva@%)0>2QJeM!{Z5b$YFY zBcmWm^z_`W`(2Kl8bcb|01~*ecpb={-cYCdp*&BU2CX`aR^@5*${m0nIhgQM#t>P-Yw}yOd{ae@%37dW zs7aOFQmk|k8LGpP&emKb7p_)vl(`i&J5Yihq8*sCRtUy!cjP$z8JhnC$p1arrz+!vF+xde%V=sT zrS@@yh5bKxEZ!2s1BOGK8p91nm%6A2){<(*14h}>_!CTsJhfC0jJD-RFqj!=YV=Pq zik9jSFcQ4fhafQ8)Q^0y!qm`^f8j_0*!lO=x%_|Ob}v|OYF@#=aJUa_oHDhc_g~m~ z3f7vM+xPFKS!ZCuB&o5d|Gp%T4BnpVeD*J7L;){>N+m`Hr%eUN1}{#9MFFR1nZ*Ww zflXb;`WHU@0Ix_b!v-gB872llfKDCz@h|*C4c?TRM+{EdQbPm&KZRXiXk1wtXXay9 zcD7yFc3W+An@dc#O{1N2zH`q#_td5&n@KjI={B2GQ*446?PMEinl_ni+7-P|r4K3! zg*`7Ss}JHLqLzhW7X=X)1YHz-5G#lX`=G3_$ok+P#NWA-NoLMn@a7?NzkKKWe&6r= zbIxTZNk84Yf8?MWwS@olQKi0;aRXI4=^iZ8fk!0X&xz(LXV1EqPtsxc$}s)7^>IOK zW%s)?#O?vpG1p(E1FoXzsGA?517&I4mxp0`QPFVOeRCdauW9OY|73dH{YBFU+~JFK z&@ESi$tLt}xy-5i(N&Ur>8Z$y&Co*(PJXW{3Ivoz_>P0(8FtueY*F0uRJRTvtZ{^a@T zasO!oDcny+X~5l`q7S-PEIr{?Mu6L|Yhm4kvU~e7@x$$3b9YN#>)SPO`}`sp*f&PU z-S=l`qIGPV{!n&U%6s4_fmX4A8>NQf2w(Hj8OUAJ z00tCZU7Dq*+{=sfdh4xA^geQTH5896Lh%<1Kzd=3j<`~SkWOBt!4?#M3b;0h>+UTh zH)j`-k6$lSrL3)ccY)q%{j%;2{d#aX!A}uwMqT%&`oI7H{o(}7C-1)gR%RY z^irwR&V_q%i~3P+-`Jv|QsPE$V$E~j?SHmt|6E+Do?E@L8C}-Cha%Pf7RULWmj2rk zIx8PApZQ!xD&K4Ccy;DXrTT1rt%0Q{YU`i<*nG3T(Hx4TboCeLV8(4jC#F``*PGYZ zn~hUE6sg=^)Fo6yQCtwl5T-eRE=@fY>D=ZL`eAi#wHY|>QC-SryYIceH$E4g$batj^I`PiZj>EY9UZ4$p#Dm}0HJE- zey~l47VxsI5D)b-?g4ceZ|AC=g}F%XIG61px_$1Z#NFPef&I0{CJ2-5;M{MvQ7w&I zbm(!#9(^a1G8XPjx5#3Kym5=}4oi!#Sc+l6$AvgPRH>d{zf!9=8_|i{X%?)c=%~2u z+q6#Q zPXfiN3SdyH7_L2RNwiv+5}AOSUOl8v?(}Z9M>P~p0gO>aCq~7ENKBzigfzwmjv-6i zdGDmy^Dj{#h3L{)2bGSwB}~wEewJ~;iH(c)td_;KI?2MtjEsf_$0G52Xb;tXFcf9B zP^`>a73`^e`g?oXZlyDNJ7mGng@P0OWulONr7?K}fC{rG3@+9t=m_v1C&fXoRT7R{ zp;c-_CkZM&1f5_L2&qPS6oNBJlG-dlohF#01z8-@F9k{_h)xQ{Cg=zpzJ))mbf*ro zcsIq_&Sr;}P5jQ>tB95jWeT6&?H(XlfGs@@J3_|ToB|dgE3{%Jb*#f_23Z=;Z<)kN zIN`8G6r(c;IRt31!-QarwNgj<{M(%Yn3ote0Sgw@A5x87)&%V-Ev~=`pl}?dlhL!u zE~{Dltbv1xv_bBWCKG~Tp<%KYAPXZ3<5n0>3-(gpbG+j>6Bd&>G-$EG2Qn#eunJ{3 zl?3gHv0%b3VH8N=pdw@A{pS34W&lfVxZor)VJ)yUN!VgIAtmAX2B(FBW1L>Pw&*NB z>M^8+V-qWEph3hO3lrv(FxkD>Plnm;_pBD-#;VjW%i$T$ZBNMVTtZFYS)C^;% zEC57(bPcKIMt${KV*^h^QFY#p-l2yxJh#r_nJ2=*xqY^tzP_@KI~0LGX;0Up%V*?7 z&00PFv=|>tC&$dB5y-Tyi7_Q>Jf`Ba(f?Ojitt#r>7Tl8Z8TOY%tpz$GWgKo#D&Sq F{{U|Slx6?` diff --git a/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.tex b/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.tex index 87cd6d8..33dd7bd 100644 --- a/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.tex +++ b/Secondo anno/Algebra 1/5. Normalizzatore e teorema di Cayley/main.tex @@ -21,8 +21,53 @@ Si osserva ora in modo cruciale che $H \nsgeq G$ se e solo se $\Orb(H) = \{H\}$, e quindi se e solo se $N_G(H) = G$. Analogamente si osserva che $H$ è normale se e solo se: - \[ H = \bigcup_{h \in H} \Cl(h). \] \bigskip + \[ H = \bigcup_{h \in H} \Cl(h). \] + Tramite la stessa azione $\varphi$ possiamo illustrare un importante relazione + tra gli stabilizzatori, dettata dalla: + \begin{proposition} + Sia $x \in X$ e sia $g \in G$. Allora vale che $\Stab(g \cdot x) = g \Stab(x) g\inv$, + e i coniugati di $\Stab(x)$ sono esattamente altri stabilizzatori. + \end{proposition} + + \begin{proof} + Si osserva che se $ghg\inv \in g\Stab(x)g\inv$, allora: + \[ (ghg\inv) \cdot (g \cdot x) = gh \cdot x = g \cdot x \implies ghg\inv \in \Stab(g \cdot x), \] + e viceversa che se $h \in \Stab(g \cdot x)$: + \[ (g\inv h g) \cdot x = g\inv \cdot (h \cdot (g \cdot x)) = (g\inv g) \cdot x = x \implies g\inv h g \in \Stab(x) \implies h \in g \Stab(x) g\inv, \] + da cui si deduce che $\Stab(g \cdot x) = g \Stab(x) g\inv$. + \end{proof} + + Da questa proposizione segue immediatamente il seguente: + + \begin{corollary} + Sia $\varphi$ un'azione transitiva. Allora tutti gli stabilizzatori sono + coniugati tra loro. + \end{corollary} + + \begin{proof} + Siano $x$ e $y \in X$. Poiché $\varphi$ è transitiva, esiste un'unica orbita + e dunque esiste $g \in G$ tale per cui $g \cdot y = x$. Allora + $\Stab(x) = \Stab(g \cdot y) = g \Stab(y) g\inv$. + \end{proof} + + Infine, si verifica una proprietà dei sottogruppi coniugati: + + \begin{proposition} + Se $H$ e $K$ sono coniugati, allora sono in particolare anche isomorfi. + \end{proposition} + + \begin{proof} + Poiché $H$ e $K$ sono coniugati, esiste un $g \in G$ tale per cui + $K = gHg\inv$. + Un isomorfismo tra i due gruppi è allora naturalmente dato dall'azione di + coniugio tramite $g$, ossia dall'omomorfismo $\zeta : H \to K$ + tale per cui $h \xmapsto{\zeta} ghg\inv$. Tale mappa è sicuramente un omomorfismo; + è ben definita e surgettiva perché i gruppi sono coniugati ed è iniettiva + perché $ghg\inv = e \implies h = e$ (e quindi $\Ker \zeta = \{e\}$). + \end{proof} + + \bigskip Si illustra adesso un risultato principale della teoria dei gruppi che mette in relazione ogni gruppo con il proprio gruppo di bigezioni, ed ogni gruppo finito con i @@ -188,34 +233,21 @@ da cui si ricava che necessariamente $\abs{H} = \abs{G} \implies H = G$. \end{proof} - \begin{proposition} % magari questa dimostrazione andrebbe spostata? - Sia $\varphi$ un'azione transitiva di $G$ su $X$. Allora gli stabilizzatori sono - tra di loro coniugati, e dunque isomorfi. Inoltre, se $\abs{X} \geq 2$, allora - esiste un $g$ tale per cui $\Fix(g) = \emptyset$. + \begin{proposition} + Sia $\varphi$ un'azione transitiva di $G$ su $X$. + Allora esiste sempre un $g \in G$ tale per cui $\Fix(g) = \emptyset$, + se $\abs{X} \geq 2$. \end{proposition} - \begin{proof} - Siano $x$, $y \in X$. Si verifica innanzitutto che esiste un $g \in G$ tale per cui - $g \Stab(x) g\inv = \Stab(y)$. Poiché $\varphi$ è un'azione transitiva, - esiste $g \in G$ tale per cui $g \cdot y = x$. Allora vale che: - \[ \Stab(x) = \{ h \in G \mid h \cdot x = x \} = \{ h \in G \mid h \cdot (g \cdot y) = (g \cdot y) \}, \] - da cui si deduce infine che: - \[ \Stab(x) = \{ h \in G \mid (g\inv h g) \cdot y = y \} = g \Stab(y) g\inv. \] - In particolare un isomorfismo tra i due gruppi è dato proprio dall'azione di - coniugio tramite $g$, ossia dall'omomorfismo\footnote{ - Tale omomorfismo è infatti surgettivo perché $\Stab(x) = g\Stab(y)g\inv$, - mentre è iniettivo perché $ghg\inv = e \implies h = e$. - } $\zeta : \Stab(y) \to \Stab(x)$ - tale per cui $h \mapsto ghg\inv$. \medskip - - - Infine, se $g$ non fissa alcun punto di $X$, allora $g \notin \bigcup_{x \in X} \Stab(x)$; pertanto tale $g$ esiste se e solo se $\bigcup_{x \in X} \Stab(x) \neq G$. Poiché tali sottogruppi sono tutti coniugati, scelto $u \in U$ vale + \begin{proof} + Se $g$ non fissa alcun punto di $X$, allora $g \notin \bigcup_{x \in X} \Stab(x)$; pertanto tale $g$ esiste se e solo se $\bigcup_{x \in X} \Stab(x) \neq G$. Poiché tali sottogruppi sono tutti coniugati, scelto $u \in U$ vale che: \[ \bigcup_{x \in X} \Stab(x) = \bigcup_{g \in G} g \Stab(u) g\inv. \] Si conclude dunque che tale $g$ esiste se e solo se $\Stab(u) \neq G$. Se $\Stab(u)$ fosse uguale a $G$, allora, per il Teorema orbita-stabilizzatore, varrebbe che $\abs{\Orb(u)} = 1$; tuttavia $\varphi$ è transitiva e quindi - $X = \Orb(u) \implies \abs{X} = \abs{\Orb(u)} = 1$, \Lightning. Si conclude - così la dimostrazione. + $X = \Orb(u) \implies \abs{X} = \abs{\Orb(u)} = 1$, \Lightning. Pertanto + $\Stab(u) \neq G$, e dunque l'unione non ricopre tutto $G$, concludendo + la dimostrazione. \end{proof} \end{document} \ No newline at end of file