From 4bd5670ddd5052221874564c9bc72fa3c7e96ee9 Mon Sep 17 00:00:00 2001 From: flavis Date: Mon, 23 Nov 2020 19:36:46 +0100 Subject: [PATCH] add ana, add missing relation --- lecture.cls | 2 +- ws2020/ana/uebungen/ana3.pdf | Bin 0 -> 165012 bytes ws2020/ana/uebungen/ana3.tex | 371 +++++++++++++++++++++++++++++++++++ 3 files changed, 372 insertions(+), 1 deletion(-) create mode 100644 ws2020/ana/uebungen/ana3.pdf create mode 100644 ws2020/ana/uebungen/ana3.tex diff --git a/lecture.cls b/lecture.cls index 904ada4..b035bff 100644 --- a/lecture.cls +++ b/lecture.cls @@ -240,7 +240,7 @@ } % replace all relations with align characters (&) and add the needed padding \regex_replace_all:nnN - { (\c{iff}&|&\c{iff}|\c{impliedby}&|&\c{impliedby}|\c{implies}&|&\c{implies}|\c{approx}&|&\c{approx}|\c{equiv}&|&\c{equiv}|=&|&=|\c{le}&|&\c{le}|\c{ge}&|&\c{ge}|&\c{stackrel}{.*?}{.*?}|\c{stackrel}{.*?}{.*?}&|&\c{neq}|\c{neq}&) } + { (<&|&<|\c{iff}&|&\c{iff}|\c{impliedby}&|&\c{impliedby}|\c{implies}&|&\c{implies}|\c{approx}&|&\c{approx}|\c{equiv}&|&\c{equiv}|=&|&=|\c{le}&|&\c{le}|\c{ge}&|&\c{ge}|&\c{stackrel}{.*?}{.*?}|\c{stackrel}{.*?}{.*?}&|&\c{neq}|\c{neq}&) } { \c{kern} \u{l_tmp_dim_needed} \1 \c{kern} \u{l_tmp_dim_needed} } \l__lec_text_tl \l__lec_text_tl diff --git a/ws2020/ana/uebungen/ana3.pdf b/ws2020/ana/uebungen/ana3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..9affc609ef57219e59da91a11fca09d97171a2bb GIT binary patch literal 165012 zcmb5#Ly#y;)Fs-oZQHhO+qP}nwr$(4TefZ6c7NURX8jNPG^c~H1=+O-}&|WcPUBHt~`}f*Si?QMw$tkWe*3vQw|4uf{od)@yI=hn`nJ-J z`GeA|}AJ~K_Gk`@euPGT{d)vB$=S|`9)C^*x&peW_M4whvo+Wk0u{;Rkq%s1ygw~QL z43nXy@GnBcSreG&LsyUr3ecjgPYV)##xu7>2EFfjxKDq7oid6IHk6rU1Q4j(ah%4c zv#q4ubttVmz?28x&E*F+Cyo-_WXDsS!r8jE^w|WSNl4Q0@G07 z0?$xuLpDIW$EOHLtw;SEiV%fSh^%IOE5aH?Z)gLi3PcoWhMOhNfLnR!s~5Y#@t~tg z5^TaLX`+Q9nDA70P(4~ zp*$&}1~PPJHC;;{$Z4d4)+tetn@z7f%>>G-QTsv-q$A8sdGQm01e8ZKG|*cMFJ{EY z0;+1D6DD8%izd=Jfz?UXA#i&sSA$nX{o5NDqn{01k*F#^Wf^ zJuX+9V3=W9t5vRc!9&nzYk|+T8)F32NTGRmfP2bB(;QEs!5~_u^`Gi9L3KpGT70#$ z1v242XSFtfLg9T<^pxT;9Nasv=VmlDTKIje2FXzWj+3X|jDbOwn}m)Gat%g5qH|z`9?A zx^H&da)0*-h1)XIhx^7u9mF=hanrV`c3%^Had=znPwN{$4Y*VH_t&I~zxi~i0Q;AH zKXstn7!2OdlS2I$F*gF&_E__MaOeu$*zX7XBD|1;kRcTNkY>2#D4r28={Qd_N2%QCWv_ zoOtO{4?~wJ3oqrfQ{lV&k_0VOqeGzY-9t@+3;DT1?pS(u_q_f%`| zLNjx?|Axh#G*&LCjli80)u~_~xo8rGS^5PBI-g8V#EXuS6^>bh&TG)C@z3ibr?@0O z6~-bQ44@pa5@R&UGhWHD0G%oNR{VImdrNl6KHQvw{rfSCNk7-H2@oCBVJ-(9SS7@) zsbiZ5^k^F{tK9j(UF|9*m4J*Fgc1Y3YK{zPntfYtL!@+=z@{jsGXUk=C^g1wsFNTe zkO!cxv>B|D#SCH)nzi?(1wD@@zyRaGZ2z7*0+ z8MEGkCum1vQ#{~(AN!FQn6d!R`o31LV6nST4}X=v2Hqk`P5L)LdRLJyb!ccjP(#@) zRFS0bae$J*nep4;9}d_Ki?$1CZn>?@y>={l+}dIrmUt1Za_o|$KErsRDuj%w&WWzS zv_eH3-xd@zWLf%)nuC{SQiM8ul_Nty4xMw|q~Ov9U)BW;m&_TmVJ9sO+3n?M+=O)L7&A9KGP@=5=qMf8#%nMO2&)^+nEMv)HP$`;hgB?P}h-J z6*u3xN2>&YiZH+esu34JapF%P{ge4yo{DxD5 zVJ2abhB{&{396z>Dww`*AmLRWZt9C$_K6f4HF0JdgxK_NBv|7WvDspX47F`ZHphUx z#c&JL53-%UEGEOR|2XEjhOd4M_LC*Txmy)5E?Jh3WyRpSy>ZlY^ua< znIlZneiC)Cw3CX1Bs_TfaL4)LwqukfPEI5?&7902Gh+@jSs@SaI(q;-Cp+J=d{n$M z>7^&C(cy9oMxY-vX;!&7SlsrJk?E<$u6QY(c)7CJ@DJEL`KaODfl=d8%K!q!=}0p_ zYE`gndO6^~y3f7TCI*ZTu|Uh5tYLl`7h~4@h8~UwYCbmhS58Tx?QTw?`%^$Fser7L z0;t@^(PpQuI<~KFHKFI>i0?}~Z}*NZqd|SsC(q4OWDL{>!>9#y@AxlX(_cthOupi? zvDRGjO#(cU-9L&2u%C=$Zuu6%m%kTab=*s6W|j>wt1^c@|M)43*O zidKIDa505PT_z7#WnT~g-?$S2*c-3e_>qw zZ8?#W03L$oq`JsTIKTmW3eDpbT~&zc_V!U#2|mv4dt*{AA)?~a@nc$@3?6EptD4=k z^-~sPG7x_=B*FcK@g!NAZMnX*oDR+(L^*k6qs99XL?HliW}_i)HyCU~nwe8!NTxOOUGY6SS3Nnbh9C42HrXMOc&Q_cU}BKE;ip+# zf$1j#a?;I^#?Ak2TO*O{nDqhU+`wCe2kR3zV0T;n(fui*q3mCDUlQ7!&Q6QH?5H-N za*YcS7mzd+5TY}%RWO&@yWvhU${`t_+)eFsOe6<+BA&+T%GafM^I~YMyG?G|wF0#z zsuvIKMP0vpE|80!5$gdO9O9G>(zz!UwOPFM6`5M zquo_N4}^?x$H&o+e*C=#cAdbG6mVDr(g*T4gZ{=VOnE4%2@Sam64*IGub_cIQ1n&-3sxR5d#(u;x0D2NVDY{bp65?H zUK%j+ij+3MRQyPk7A8xPt~JgQkQ0sQY@6dFO5O@8RR}Vr4jez`d^~93(TyomzK$HL zSaDS>&j^=RnP!%#M4dpG(NVF&n8?VL>{K=}?)K&+OU!5rW;f!wcUQ12ppX=seY8q{ zsK|g0P78)#*fzyGPg@>z@>Ea^P~t}%DKP$y#T*S^6M5KpkQ<-JZi6sj9q=p$$wDBt z-Tf13Kr?P2hTJh>6&S0$pXA9#k2N=^=gw%jTro$O29>q|s>@dhM@T3I92|0zpvRQ$d5bzHAyq`OFKAF0E6{4(;@Mvbi5OaHTr8VdikE4!4d z*!grQxI;=YST)eXL8f#rE7F4ptp%@i>4No9qug1S8qc?ezA-j7F;RIFtX88RN^N++ zQ@bb3Rq<_-GP+~fwH|sng!YWA;gTZ-%5WWvo2Szx6&t5oN>lAi4O-ztRn;9Cel4yP zdtnfW5tJGTna0S$u~z9)P?AeA6iM%bd4^Qr-PONvQA%Ilm54|Oi!X+o`l=|-y0p2p zI3OxvY$~2P>yq&j{CLumjPhG_1=+nvgXWK!tZrxWg^<3urptq48d?VsG^>lAP-o7~LwFkDA?WmAEj+@-5Q(+)!uR|Tv4i#+ROw*_v=^&|Y4{W1ri(a< zo;fY^(62fA$$tmdwK>FPZexduRTD2h>8Gx{Gdd8*)efy}ACs{5l&1JyUalDQ=b{4Z zlnH*L=dNq909c_pnldHPg#@F<>u(cy1r7SOIy9=6v}h7MtO_w^BjpcV(1IfXu2dnRRkLL-+8&5JlB}KEV4u&P@0))u*4JEeKtY zhsvN7k?CL~a*2d+9-VQBkAz?*ljH(JRC-k}YIyzm7$>uX%sWuMzz|!dI)__6*C5GE zq#uu!!e#m^hSm@A^c{_DXSxBqJJrQCUd@C}cBQ=c*qVhx@a}0jyYv4N0A*UBX6Km4 zqnG>y)eOeZ8s4zxYP6ue-Nl!0FSVawvvrT$4+|U`q$wyD%c+H0AT$3ui))_fE1}ea z-B|Ej2;^|}jG_*lm0Hw7M1Uq2x30H=zx~(`GTZGAJWa1z>#0jkky>7Jq1shliVSuX{ZivTYO#!Jqs? z{X*Jm%whd)D04e;+_RN(%WTGSGI3<0qgGW*bX?6fxbfk+<*H1wSDm5Y?z1wJUXwQ0 z_hAgCM8x8vOW2?AUc8SwG?}0AaxN%lyojZH+Qxa>r>QXZmGRdDJ#K>FH>b-{>FQjJ zVh)^yvYF!3SD-!(P`XDJc+U*SQ%8uV6Lr5Z<3;Q-b<$^l11?!$NLO>qQkU=!tF_sv zxXN!qnBq6s`MCk(A13gSm(L3PVf%N1{Rs7NOf8b{YC;u+*E9%Y*iwE{V~PQJ-Rn>j zed404HO(-fVpza1}ps!>_|4b?U=9oi-(Z+PMt4)HR`+viAIZb$Oc7f1;es`Dx|iJy+A%_`&&(T-bJ6 zDA$K^*$@iY0y3rb{0E5EODpZu%Z3&BdhpG^sM8rNo_5;nk+Q4bly=Zhz*%Qg<20M3 zJMInu;}5V0r&1Zp)XwDpldk`6|69qJ{wFSDS{{e?^B;<+Q07?;agKH zHzVdJ`ucs{JJ+{t)wZ0!-0u&cuXeq>{y&FX&Gq^@KSwcuDJ=%9D$9rm9uG$^8&hj7 z9Rc-yv=lu}BlL#*u7sd4jQ1X@-wvv`6Z&0)RQbVp)!6fvVE#QL z`T*b6D{k6+wf?nww(9(O&dna`zb_yeSF2AHJuT7h*;g+kX6k(P_0@#^c6J6TFKb@S zqU=EXgP5w-Yr-Zm>QL_%>jCM+9n#_=CC}p#9iMI1GtaAmWr5#-r9{Noea)rC;V3w;c}wl8TIb=%ivpjl|w7!zI@W z0}f&>z+K_;^5X~H^{e$230pItZm~(s^M!w*L`qRoNrXVd2$mc$#EYtrx4dKmEpDL1 zZCFSqs(=s$MH)c6Cd6u!po=%u30yKrP~;j5-02X*SrYq^rG!D7AW0!PFb3p@I8tBp zpX7-S7E++w01Hk39E1(30I~K7bW(2+1ciRV5@>V{1tvGN+Q5kJ9~B3$2~N6|A^}NIyViW}zHCAyFg)E#WNJ&*Zbd4gCs_Kbt zs)#hs2tLCpb-gnvG*v)Eo=6NK*WBtg+s1bTVzoJ=qis(Ca%VDvJ1a4tAkecB2jCF{ zepr&9U0fjU1_KJ=o@Er)Ft9p6IH`zSfwq+@k?VGVU|N2|N{Ctnr=+6<5^#bF#N?*BxaPVkQxKXlP2Rfksf%WAa1&}s)y9z)}cI> zX9_ZAHL3THEE34)9azw_RTUO}Q@n-<8TkuiyqDLOcLz`e z6{CBKzUqq?%7p2;iVcu4?g6dX&+{qdb_A?eT)3p$aH2hli72lsGb2z2wPF!|tCjKCMn*XYb!%PcI+g9+uMfD z4U7;botAZzLl_Y|t?z|7u+(W--@UmWp%8Wk2dj=6JQwm{shoNz#z$N-wZF=AJEw6ct&cZToa%9_aCv=1Q49Rox*j*{QyG0HF%4AY0d zl2aEuq;V?f@nOAKG-*mkgK1)&mR2e%DP;#$q1ieowwBjtUjj{w_VwneQMr;Az2G7!bhP|V$6%zx0~5z9Z8TeCqnU_ia?cz#>_V}VA{~Jj9iHmt4GK0 z1q~+As;hTk+lc4iXgM%H6H-CfVngwQc@AB5AOL}aA$EhspN~CR7w|u!2Q{S@L=$9y z@(O$b;iW;(EQvEpRZf7J- z2S4<_EL^}_M5uNeppXsD@)rXMVWfLBZ~eB>Xjog+C>J%(W}2z^!OXOiY6SbWDgUWI2G z3+Ty&4D12+FeQ1=BVl=&kz-LXEAit~_iF6gscGv^J*qwr(fPjT^Kk`L+8=st`hGO$f15!|P9&OO!>pmt~;hGk}I#k34NRjP?HsqcOs*pkTK~lmtDH zE06vzztjC9BE*l;*TT@dc|-iyW5B|}L3e3YYVJ42#oU^K%sMpT)|img~U8M@3b46q`y zUdd{270?@yAT6$b63d&wQp@fIptKBAQc{StDi)N$00*38Up-4!zMjn5lW-o^+GNUH zzc3sXk>Kjw-PffTIAu6Mvqq%MROm}c$`2R$lrgMmPd&Kkye-{Wi#A^RB;at*=Es!{ zQe2S2#iSi*0cnW#7Z|1qf}n!5vc$Cf{jsm~PJBfpWgqZn1;kZ~A@)kmxL9lu!o=-@ zA}tA9uu}JJl@f6ahgk@?9oA!N`$L;O4u>m;q-G!<{5o!5mU6a~J=6p}4LQNL+oxluAMS*L)Nx&+qGgT`zic7b<#JDg zJpBUcsYyI!s{SJcUhXri)BPG?d8^`LP2&*pZuBK%-s8yZ1gBZVFL(i(W9gPp z>X^NPAJUH`*)=&O_9~}zYK`+sQnbLSpJ*Ny$&4f@QwGsON+mApp~`;gHPj4iV$!Oj zq64I%ff&6+9;NS^lQim%5xSft7g;eBt0*cENYCvqe64;zw~7KRRsfkuPf)&LyybDF ziom5vC5wHB z@h~+7v0J{PL?la$nn@!SaG)ifP*3^^!SC&ZWnx>L>UQXh(54KZC=fU=05>TtLMA>4 z+_Xd-5KL3?m13EbQnd%jQ zDnq`aHBU7ve>xdO`wrZF%uv1nuU-suJw2z1p3TtM%f{GdHqs{&QYjx=y)UQORxVRF zd6s;wBzuGPqL-RhLoWA#)9vC5*=IhtLaSXg*2^QiDQ1d5KCh^=ef{ScWhQV3E8tA0 zk;`K=E1xCME68ED<~vLQVAsL+QNvHz0;?QDX`xxV4DFDXkSF zeaw)S%?@-=|M31{`;{FHT2BsLzAe3D|HYkgf^o1~ZUE2#<&$dBV&AoHEZvcnJoZ`f zMkuWr`mD6jt58r+ADu)48!IHe)E4e;Q!4!a*T}is&tH9{rsJtrYTr2EO566&sCCOU zC@n6RY_BTJ17;h~nhYgP%(Gg)dtgk4Awb^j*5618&JlV*;{mTe1on0DTQROynPO{{ z7t9CzHl*MA5n(NGv2k{saV?M=b8{Qc0rz!h%)&IKzi`f+KWnJ>orSu1v24t}K4evZ zyRA#b*}Z*Nt^K%e_xn{!;^X#m=92A!p^7`Bj?tHBf8zr1Qw_`H}!&hN%T*bXV%sOoCzfn?Cy&X({d1X*v zzqWp@(EJ;&8vPapKajyNv04)k%gH_Sjl?D?dUg*V3Dyh3!3sDFh|lH2@G?I9WD1pt zt+QTlLBri*41tx&5`G4YLdQRZ&VW}ZwaEmngFEDz_8gX*_`yDrD5mn~b3B!gY};~U zg=ELg9#v^iM{Q%hJ+s49Sd_YDEXF!E^ha5{Jv*jzSPmJ@I+neMCv>ihmoD=4(+yyD zs=^-k);Gej6|`TzeSi2=&6Aj_Lhj^l748o%MKKueUVYo+(n4u(EQP$0rfzG77*jcu z3q3U^F?z={BXp} zS+RQE{@YMr*RwU6N_n0+>Bg|#2T0WFHAB>jO1}imEKFjy!PZI0dBy-pYvPu1gQxUb zGv4#SsVFVW)X8AMn+7>Uk4bP4P&v669DKDRErm<1>gv7kZ76nih-k*j@3g5c> zE8@qBN&Ue1weR6Mf>1US+A?mnroxhy`gXmkQoH$IoJI?gxvJ<033t`&VYg8jVI%n?bhO zZwr^ynO9n~kgq=iu{g{Fn~LkT^3tQA)rlRkjjHwhd1w=&=0g(S`SM$5=|`aS7vEkF zkHM*EHqc;bm@x=eF4A%PrtPCeET?Y_S*5HqV;g^gnYM96Jl3tEXh;X4^gc<=TfvK= z11)Ys|AKGTGw@b5Ys8vr;6-qNU{`QfwY%sI~WjVo3*mj8D`nsCA%d#S4zurt`Ocg3I&Dl5HQn3lBU^(jmDwrk|fjJh}w zmst6FIK#_7URdLnl|k`6XMUdRM^37IJ~n1njQm_bJwMj+clBu3)}}tHaQ<-g=<4dC zS0=8|_jukfM}qx%5gMfV5VLh322>J~@#*n;d}heY?^oE7;qX5u=pFY*M5r+i_aA&7 zhl2Z8&aV0D4`jF)9cLLTT|D>Ix9@@cB03Uhx|7qHhd!RejUw^+zc&m33^u{(GOajeg&u6e_ivqR>McFV%xz7s#-Fi#sB~1sDIM3>SQMR6j^#6N}86 zwlU@>o?oq!z??|KGysXY5;Gu2L_H6+A7$FrY4irtWTSx!sdD{U>iHhpwE7h1wG(~O7s@{HyCHTjN8P>$!14VuFPbz8m8g}olfCk%m#*!& z$@!T;Y!}$UeiiQ10gypT{5g_LPyvc}%PGaH*Fn}~G8wZ80v=c)CaJ*8q#zSe%zzCc z`~iVDEZwJnn0RkhSY%38%Q_AFvbwy=$2jB0?=Ej^*|<3E~tl99E5m*bBF?7`L_`Y_6xwlOrZCa^oVpsW*-VvlAS4U z$DIL>s^{r3TbwJW?di!lj|Rz{CjWVD%H$_qX_jY~Ti2brYu;fB{)@v5<{5LTSU(^K zN`SLimroMh>EZ@FeQTj zKmfQz)r%}CN~7G8sR5CfF#^!LB9$f1ROw>JI2te3b2QCMn|hS zPsw*J=nq@DP9UJ>G^&23Bvb_u4(6C%IktI<)G6@B7rfw}a!X~qjws;79X$RV7-8m0 znejl(u@i%0W(HE84Jg;H1*csWNj&e&l!$lZ=Hg#2UNBI$^C_MB^l;LX(tGdW=GjLu z4x!Q*H_axD2{5bV^K%EX4hW$)#1KGPpU^`>A<5Lw`tnvnnm{D+hrMJ=Gkhm%dmj_+ zz=}cZQeJqD5gx9|bPh=gka!5hPvh8!uJSfk=D+Z0|&d{0j@&eT%(GZweR13)2c0Jht(D&F5h z4q`Fjw(JVhfcsEg&UF8UysxuXWHV2?|7B9AAxAnG$!2MuEwtID-Cy5|a6K(*TP(ui zQ<`P9CO=Wy1}F{nZ{Zv`mCadTFO|%1^OQv(4Ky2G*VT``ET2E^!hPG1j{9f%B}jRz4#MFiTsU*mjNJX1Yx^LneVEy|UPMF+mW*-r#Qf!bCiF zI7GN2jBx-7Fr@w*c-5?q8%#|Zjs?fj)&;6s9He$`fF(SVVV?W|Vr7-P=Gw-sz^3rC zCD-;hC!jJDWXahu@pnm3Y_1U4oVj(1}_9)qk+J3+~EK@msCahAStR5jIpb%4w z#=`NsB9ds5T4wO8kECKW3nS$Qz7~+;xk($X;m$KWi?_Wl({AEeRrw{6AxxEaFE?cS z(Q)3m08Xmh*U@pW;T4VX_$Kw?@-#(0IeM3qqJf%?vIX}UejrWf-4s6+=U zpgTwkV~K9DCv)892^cMqZpYk^5y{y7K)i_KetRUhbQYXi<-ZtK#)@)P3>{QmZ`PD888A~#V<9Kb(+~@7&?@dKulZA+M$V)gofdGf_1RLQ z_TU?=6Ix)M^0ub^X2#^${jRjQDN9)q?W5OyuZE(ulm@wzD?EpYeh2sEVE3imDlSSC)8!bsf$>NT zi3gbpOzcLgVV;CG@-~>?mUf`GGti7}X!0%)i&~e7eceFh+m_hA?ktjTPdiUp89bLc zsMI&QgR3<8CD7{-4lZeAWhZ=n&70v%E8tu(=t3mfoGoS&Y)TpW?x|FOfI$IQ(f*wn z%o`iRXh%H99o$G0Sm#q$!dINy2kh}Qu)`FC6St7@1wAfGstbuOP$?I9WdODmUc@v5 zn~dhmyr2+~4QnuZ3==Q6XX8-WsrIN&+2hNpARmXPHjMtkCoxMvenGMIk4kHCN$Sx5 zwoFVJp6V{oOL7>BITbq1u)8p8-aW;=6c#^!qwr^j1V-W!U$CN2K3Gx55gH-TKsyys z_vudWC`s!v!23W}PJ_p7%~MCLWT~I-x|ks8!HGBHx0od|45?rAl4qAtjYdl=7l!1#qf+6nqTvvZZ;W?-Hchk<>IE~&SqhY22RG6 zFM#D!1y9Rk6XmT$#z+*L?cs#EqA`_$BNB_$Uu}94N&e+v)1HXn$oSYJ2gRqJ5D@^{ z-D+%eNrwuiHGwy$;14O;MYMclEF$4!4vqK9tqd3uQFci)d`_EW{M#X%yD$^ADu4G` z_I?uq)Yc;32eikZ;JwRRW>0i#MrP>frC&r9PUTHJlZo%ci9v^5z3e3$%9wz`PDU$^ zdwP1x#<1<7t6Swi9NIGS^lH{RMgRqe&e%RM4I5DLaO8+uomK4T=^p;`COU{Bfc6t*RDx17oh-QyMVO(v5I@k%S(o;G2b zw?Pe2umuR{1Syh>zzE(52zWJ%X{Cgr@J7TCHWmebAJjVELTG3=Z$2lE*mtlddhbJl zCgt}{|Jl=(2w%X`Mb3yIgYRJ#o||02|5C(fCqza+T6nx=%Mpm7hMtWzBEm7_RArU~ zNN(MEFu-QskHmFFxYd5Gy6o6>kX92V{vwq*Z&yJDV-H}51NY!v!U)*v1@uFIon>@f zJ^bKvdkS|j9J)g5p}EZlufDxyj5mgG)qrJ_0nFQ#m|rihW+2fS^l(UY2!`%mutZ$yFNV{Ac8Hm=H!EV>d+aU+07bOJ4KxLS2&r(#PKu($t3nbq z&~mA$pM!vxa>V`$#erM&DnpY{9#W2F<>61InZJ`P*h?0OZR!B5Mvh4;AT@P^+sth| zz-#Q1Yeo^5GLC8DH7&oP42~_F3AUBT!5NuZPv;4hU>~+*%&H%xTU;}(J2nR$+0?!Owo!JmaXJX}_-68=M-zcIh)%4C! zztW%IaFKBZ-xr-_y0@Z$`xSaGY->;|(lh16aeA3~3*~&Pp*C168um8Wcm2<=y6QI$ zWIzUlr>`Q3swq_^ve5#yD>V4AF+td>N8cgAVSPFz*6GVfWV-6z*i3aAB6xEfJaC>} zyOX12`DZe(GCO#|A z5xjfCJtdD5PJ4<>*N@1ou9G;{;sarVVjU$+yQ;P=RBaAm>a+3%pU;6p>#$> zVttlbNK*%pQ^L4B`pHOBEl#f| z=*RfKq*?S?b*&y3KjNgipPXG+AANOFM8O}&zVUES)Pt-K7uh>|c2aU>!F^|amxw}IW*8S*Ijd~3vlgD z32=M2tglzeQ=#a;A%{KC-6K&ID;P$=rk*khRN2fby_?D>F9SVFE+qzyzSEYHHIa7& zqzz9NO!ZM(Hg|Ss=q+Hvj()XrvLZ^ka>{P5!U5h=$=xI4jUnB)A-W5wYCN^nqW!^d zr#5bl8a^EMYxoJ+{lR^G8V^f>rpo@uz`G-H{w^dY{&I9vyq^S<dNK{la_y$$`I3c}e@zCqwN3#$2hSmPA z6f33+9#J=0G1ou%B=)vGdoE27eCvRmSS%BNc2DL+*N1}Kz+yGSZ%4_3!P|^^tZ<{& zJ*TSZA_0-zJkf=>P+$WqxeJW_+FQK0b{Cw#L*F zxr)upjY~boTH^6nvJ77UAaBrALpIYIuZ^0VNF%2G zg6QI!n$-n|ExE! z*86k@XjUN#SAQ6B-DBzJwe{oT=-*}~%}+oPW(2yYQRg{X zLNEjk5oyzIrc*EGVu77e`_D!F{9L%`6QSIT_jnSMJZ;voDK!xIJnX0sZ?O)bq28yT z0QEJ|aGXSg?s^7{xy=8N!%lm4N}=(d)#v2jgt*l?+d~~6R#yPGvn7@#v*EGmXdO-&APu0xLzfFwo z*4o~%4bj`F<4=_r+=aM~z(ezMNdV|xsP?voGBn)b!Dq;1Rp@sU#g zB?P6Rl$ZniLv91kS5SaXep!tLlg=3r7j3C+4ck2>I9@`9GD{=SvE7m;vb6TMD>~|EHNgGpgabM zS9RWzkHG<=K>+Y(7SCTz;4pBB;!9P2shn_FahhpO=wy?raf7N?h@fP@w)Ccc z(Xrd#$IKe(7z|?=hj$=Ccny6AbeN^_KzRBn40M_LE?|D4WYHjkgH{EYPNkk}L$7B9 zKb-mey16Zp5-0P#d=Q3AIpXE zfNZ@+xfQX2b0`OLwMo&8zTw4y;5R zh(g>KEWinw9yJzoh`Eu11`|uwWUnAr06j0Xr~on*aL+U>kqo->(F2Dvph`k!ALI^U zB~A(y_mW(IU3 zph`s^N3c^|r`jX~3G*h5ir_r?B_5koQ^}mJISkmf5>zyW@X8rT3jt^#JVcrM8DjvG zi^1}Q@!zs4pe_!YS9;-;YeOj_zT?Elh$gx&&=F~HrGh@FLx>|40$5mbw;LME8w3Yb zY?|<*p>c&pgV**-Qo!J7T~%63xg5;DMkN3oV6uKS>3@jNff8`+_OW)>^azTW3=^@I z>gnXXBK9+g`p)?j(cB2w3TvBSqay_(1j^h7m4^=8w<}2UVgm3ek+|muYJ_($b=x{=xQx4sTVW>j6{tWA zZk9C{UmoyXUF8qL%gs-QHMvupzlQZ_k9K!}*m3IG)VrI5ZYyTpD$pkNGS<+)qN}5u zPL5%n1}z7n!*6~?A5(R|l|FKDN2Y;D0Q7y5f6k<6?$wmT4|+VfIkp)U9O8zXgpd`Q zhgfj}*2#F{?iP0}(u-Q9)X>u z{`z+MJN#T*qg7yxVu^I4-bh0MAn#qZNgikMmsoxkY^-uEeEH+)Oo*KVz)xT#X(M)8 zS!E+5eUy{6{3SPjvhrofyz@|amnyBJwjaB_*zG6g3C?ROFy&tZP8so3pw--72V{V2 z66U-?U$6o}CXs+3^IsX*L-9-cdTpFyloR~qgIUkOE8O+OYgvx)__4%u{cZjK*`Y5{STOo9&>g7S@%>5ep() zW=ksU_;qYyoQQHLhUYsJIZ}<+X?&XixyIB)gjf`e$JzML##Yo?YAouIS?WnYAW8ik z^mOarV@TR+5UKJIGsX#0aHHWBF_p9sh*(Qk8pV-vi9J_ApmdbB&@z}U(jFS&Qs=rB z0jj`x<`TF0$87RJDOna+W+a%^6Brb4Cj*3C5djV$Jml7GC#_cxgIxUn(*wBMSWbTE zg<$0h7c>!^|3%ze$3>xi?cy^GC0)|pCCtzv(%p?<&?VB1!jJ;e(t;wbfOIJ_fOL0D zmm&?)bH{V^y!Sn4?)&xp?)`jz4FAC&d#$ziTF-jcv-foA2)@v&8`}&zXK}tOo$Wj= z&nlOwe`0|}rNnto>JotM&=^!jLIqv_PC=#SGIWQTO^LHIRzaT^IzTx>qEUv*cEr`j zgN_xNU?vq$(h}q+6K}XtkYZ)Jx15M))F>eA`bwN3ayyJYk0u!yg6?L5;{2``)u@y; zb|9I?c`ok0WzlS&KC27B#i$W$D=n0rtntuvJyF?SX{O^yz5`PGq**K>Ax^l<)q{Ec^1U8H8p zEa%PT3BzY?o?g}BgkLMaHJu&^r_5emFn;*Zz`4}W%o9kWJvP2(_d>mXW=9p4S6Vd_ zLf}UrG?i_%_DB*Gp&boXd%z0!yozL?Cm~~vM^R4{?OOY~=)3IP z%yE5_Y7Y?W$0X)gslFMkD*m>#%>5zqWGK{}{3CM=w`*KOlW>f_;_{yhKT?7{9jUTE zpU2Zsqy3^x0wGQ~uzTmV62&U7Ym}dn5$^S((x=F87WJmSCi~NO4+DJQuN@_46!@^Y zD+9@F#mkwZJ(r;gcYIxx`!Ypc-mUc?BN&@@ypHRz)QZr7KpxCYpI0RM5FEGi$x$22 zKB|L;*wa?nRsT>vLR`({<_80DS9L%D_PM%%ZJDyDjr)T$RR zS4~2BUN9QGQOJK@9Lpq)O%;WF@pHTXdmAMjAD_E94<&i%I4 zU_t#mD0MW4gmTWGHM5_N5vQ~+d&&f6Ye0YIrp9%niO_X0s;&VwWK`M?!&jJxoz*3ME6$M^$Ivz2 zUvfAf?c0Hm#YPcWFUj#r_6muL>H z=BpuRYrWsTSk3EX2-c$5L*I`Zu5kJLXf`lCV9Rql!ozh*tU43#>I;qRzl3-!Sr_o= zsomcM_dai%3w@mA>{`A8>xOs?&)G7bkB~*WKp6bYBDX_dCNw(JiTW*BTk=9by4>?+ z_G18LkhXo8Hhvp+)SR2VDYW|P68$6_yZMQ~g((4koy(ndrbN7nltKH=*o5&cdnuK+ znt7DMA_kUCUBw65Ln&i>vdXx{5_b2;_=}6N#K?K^)Lz>56D$c6MhR8xJu_x)HbW(j zclXmA$@ucP;etaWlVjHLS;35M^Bo-8GO42~P`dn_;wXQ%6a`m?CDp5TQUgUB>8WM0 zJc_h8SP3rP)6z~nb#FChX1mZ1O$O1NewW}U#jVrqqLR*KJOWGfKWWupVI_W<}B@D)ykT^1ai6rpwO_!Ak zdHh7EKR%VBzlAL(#*c3@9l7d^Jjs!^%A* zNs|h>n_u#Zvdyr$#bDCG9!K(9IrKKz#xcS=PZbplrG3&_xd2y`crF$@l`x_5z6&wxmhCSYFL{I*Mb~cQSWn2lkbhYWjmcEdq3pxWHo7V16((BDurHD=nP}{lIVM*2 zoZh4bZ0@$?DKpuw({Hg-5U>03W-F}9)1n&RaX)DE?C33!Wi?*+oL(~AXGqa3vB9dB z`2L~~;j8WgqB@{E747boFARWhKTPDwH+fkdNhW zh~;=5WX5{&oZSVwpxuzsbWCxWd@7V>Sus7gke{%1BeEx9yz2-fgwG(HrOQxSrHieA zBCtIun@MnFmB`?|6Uz6M;i7GYQaNrEZSB4Jk=@}+rx82rRU#cD*)It$YF;4|~G12hZ=5095{Q}OU` z-VFJgj~95IgveWkK0Q-6KBS5GR?cqr;f%KKJb5MiY_oXDeONT3zscqN6Wj1@^N->E zN@{LQq#UA!+SpEPpUrbj62CtknX?e#uG~r|{0Nb{2Ast3N?l`V$oPMFTWl{~rC25Y zbW?0NC|;#BhQ0p8xm@yIe6W_x#T29th<-A6twB9z@IK_miemwO)?h7vC$aWMfCZqm zQRA9f;}zG!F)QRIdFLz1ywUpFt^no?wGoB3)uYyKzq3wo~Az`>g{>gCh3kvf8t_o`Wp6Ux?MWUv`QriUqGrh5kz(7n| z>$V5H<&QA&u&G1FF#{Ed#Yf2ZN*9WE47~KcP97OE?O7@0aOm4uSzGx(G)UfQy1ZK8 zzWZ&!wnD}BAhxoTcW~#91*gj=yZ0|rc8R+qmLsf!z!nK9y{pID!=B}5A53-!He|xn z>b&lx=nQX8L;mNDkZ&Wq~owb`CO4OGwrmsCIsJG`C2r-Z12Mc z|Jwbm=-9FOfy3cGJP5zQ@WS2i`ed!tMzZ<##R3J0!>$!iM_VyurJIh-rgUM%@&^1| z@XcPb`W+h(FA;}ncwoxQ)%NKCu?ah~jKl~?q%*@|=pFG|^O`9K&j$eV!Jz$n1UFV} z?;NN?WWxA~-kzBO1~H}<;W0{I@ZbTmH~XKZ$`RXy9LtitVI}t`2?^Zia^{ z{KFmBF!@X(g z*|R*|(%*`W%rKA}r zqC*1eM3k9ppN*H-7Dh&MkGtXfM6r&gw?V(R11K@MBSOOkY~((eH~ZUvAwYez#&Z=f z$YPbqUX);(+(RCJ8-=#O9zFKyb47Hka8286meLOAagx-)6N=sGqd8}pJh8Cx-ZYdV zrqA}_#C!thAO}q-Pufmp8jU&s@FRYSA?ssunprjRh$*$|er@J=^J|{9im!y9aWAiY z&Y;Rpq|U|gAX(5?oB$QW)`c`uSx_djBM9HmGu;ZFrbpqzl6u3>L~Qd2k0Me>gPEgT z2Lta0;kYvIGl|uWmls*0B|8_(=!#Fu#{It&uw}a4@D24@zehaKq2uUD?G zmAjdP2r;=l3e+`Zy0zcm2Mq#yr`B-ni@1W@k_@HVXxRXe_vF);N!Yy#n~mmS=cX8% zbI(cPzq%Fu{zLXVhKhqoZH3Yr)2Go=2C1hH0(VOS@!p`p?!9Wc|331|&}e%*Wx{Jq zq28c=pTHtNQWs)tGKtS;bEHwz-$t)|lO(5YK;BE%WGS<~jio|oUXmAj4bTt=YdTN6 zG_cHusSL4pJL+?5Ui}F8jWm!5v}EJ)jyb>a1IlwBRiF&UW~*xR)HV-f0mPg=7yYD^ zRWLM~7H4_SNW(^xKp2&_NM>=L@=&^K@Pn~cK%~>s!+il};jg1;6)53xGfDY=K|YOZ z>z1w{YL7gs%dPvnL}jPf(Q&TggECw9009_@m^FcWp5b46`yx0p8-t-1Hd_y!LgI`1 z&ola6C;QykJpx6d1{ zCB8@|7xjE)IIJgK*!P$irI0rKSRX}@MMal8G$mll&rsft-3O#@>j;HWKIR)nrw@QF z!l?PUa<@b=c^=2*(<|tS7=GSvgVDHR00~C9T6v$#D~_xOL63U244y6U4zKHVP)ZtuLe! z=#5%JbjW&)AM;>ZQyW#gD1-MT(r*m0%iHI#PvG<$ox`JT##&b=QkA~{q^N-9~G;-s!DAq{Q}&L~ln>nhol zju#RBR2Gz!%_h%8a^U+!yD& zMlU8L3htsO8u6$KZ)6>(-UWHT^KCUG$w0L~c4La2xUy5Jy`3ZrYK&@ zjm}8q*Ip0#xUSH{JXw6oa`Z+kpE!9u_~@$CUc*?$P2JTav1~(8M^U4?*ViGNG5Mvr z_*KEz>)A#Vprs-6_d8R%FA4PDkw16o_^RDJfeZ6_=m1uXI%Lv-S%~IQ=bC(fylk{x z_l{G@5S`C9gG`T+v0Lc4WdzMQwZ=gWKQPv6qVLtk15tQ(p30Zl&U1^ZLUeo+oF`r$uwOgl4W$E=QfG;92w@2djpjJ=>nC!}R9l zekvc_EtKRQ)7_86i*Kf>d|rG?_>w7$7~fH^?95SwyV?<|eaehQrC+eK;gN%7rVwYaR&p)8bd4N} zH^(x9au!NGKOC?c`vHd_wE@naAw!5&s3jK8so|~;oETts%xpd9hxp}ia5GU)Ep3Jh z@RHhr*bUiq+B&Q5P=8WjK2MFP(J&nKzO;RBEwB4%`D?FlzKNr!d$}m5XM>HHj)@#y&eQ0WkLz=R6f}d& ziMi{^y0^vS(_Wr`v14vew<<_{qPf2QB=sc*53$fkDPs`r4YgC}lQY`K&BF{j+}av* zi?WX!vq@{G__TM|!e<;CaDZLX%{i---7)k!wrgnpH*!N&hIiE;xv&R*Y0r( zwN^SlwV+87qZTBHy$espm?SSb0tooJciZ2kDr%e@APEWGX5A*qr_X@GU;%hct_@U=9leJ^A?43N#HC2ONl|j zL#~Bm@+)T2Sr2o+l87IH6Zh!9kQmW%!NH4M%O~Qi9dizkB#sw9lumLLSNDF-1sC4v zOyPjyEPv~e_E-s@8 zsOKBmISs~?;*kUS-&<@&d9q)<6Rek9_rAJg-zYV4)NR~aa%AGjCTZa=+P0hRAb#r* zz1HE=DB6T5J>Lhf-g(A&7S7it3!kvjuVN-gjn*cbEmPi}Y>mI(P&wN*s2fGx;SZ}X z)U3rsm6hfvN7`gNS~d9Q+;j33(MI6ygK5g z9WJB?4qrQP*ETh^STu_>1)D0Fdc(Y-^?~()nSrkZW2Nyht;iiKlsFF5b01vhQt#`E<_ZK5t8pj%(_8`Y|08n^{xG*n@BhkN z5m+3|6h_|yYlC&d24HiDk2iE5*aiy2mokEB0mFoxZ9D0o-JD@S*vkQUxrg}U3NY^N zw$z~y^n@JnO&kVW`_g^03k|R?#12McE|N=8qCX#@rvIJjRt@pj>LH?wW-e=i<`zmK z`(B2}jeZc&1&mbB(v#ngNlnvgxB$MduRV1p*h^OP*qRu(PTh)0tQ z?Rk0t{CeET`DbLb8gDWoSt=ir$bf%JbAD&3d=r%dhKQx2n8~6MgZ^BqEH?cD;1ilM z^RKm%8#{0L0p#nCB%a<>iB!?8KgvYOxQSDLbe|*}_a=^c{q6fC*KkRI+_ofns^ky| zcq?eC>!*to#_r4`SvNnDb&LG+@qa!*N&SsjC=eXLVi#^G_njag;A1YJleoyuZTihs z`k<_spvZyGIrBM3gkoZt)n0_C7%fD1l+x)2Fof7-Wxtp#6PCYeZ0F}I$Y!WHs1!Hf z(kcz7IOa~${wR8%w-)rp6_TH*Y5Ta_VMv|5!wAR>f@1BVcA=1z%)iqfFKL1h2Rwrx z^%if(XZBy8Ow10&KliGi^*oVFyOKT3J77Cja3-T;Cm6RJot&K|;gd5Q~@7CBOvrMRB2NYz!6=rtI8A3k9B z2}v};tPehfm; zDTjlvBG1mFS$I!nE6;OXTOL0e{!kDBI^cAK;(R8F$37vP4!kYNBE}0Fn&-+ivJMR{qhH1>oRp!|}m;{F0_|W~VUIPOTQxK`qcHAt{GWdW=svT~pU| zpcQxk&NkgP`6~WY;P{yIJ{`LF4b=B93PCFuq$mAXbf@rrNz>~Ve`xRc3$8e9zz!uC zfW&en4|_obgnr-hiZOnK$v-XU!+7&Y24W)4qSu;2VSMpdZLw_qQCrrL)fRM0lHRqg zY?x^PbP0~Xjv=&-ae7L%x<;}64OSQ<{XQ%Z7=CRkE4431U|wTknrvgb;$&(e32VD- z30i`K&@a$=3^m_N@c?LL*h7$5D2ybwLVUk(q0lHlzy2=^g|xvCtv_Qcgo;JUo=Prb znc!BRal8Jg?Pe4%B5y%k@14JD!eWundwcI(12}*s)$|-O_}Ao4DR_ErIeen9#-Jv{JC zdS5c@3{L(fjqX>bzB{B6hs0te95Y1l|DTu+!cO79!#4a&T**}m`&EkVZSw6e<# z|IcUoey2$P+UzLi7Q}y5X$#rES7|C&Bvl%k&4V>8b*uc|D;}&%TpS$u8zb8AvxxTS z0P@odIRD<@lGEY>%pVE|6406Y13Gb6EzUsObl31QI7aKwDDOh$uaKC91SUZs{{nmb zf=MXmviyIUC2R3_vnUZr=|6yvQ}S&p)3{jR%`)Lj44E@@|Lm+MZE!kxz^^m;F@*gS z5(|)`r+*Qc|A!V(U4z~{0ZF!NUBmwOg`Xwe!a%ZcWbg^G&HnuP&j*ZOaF}0E2do7! zqi^d{V`z^nit9z_XoLYS(nNn%Mb~mve(SEZ5)RHm8!$nx*|g7r<)_sVC4gAhmE@>>7Sqz$v`#nhw+L zCsHpMxFd|j7-VQh@b?k#e@8RuBkNckVfRAsNzDM59f0x518c4at0VXrJwFah=>Le+ z5od**{94k~)PFBHu(2g9@HL`QJfqkqKc$kY3k$pg;K0ogWgi<+=pcJ^fGtoO1AYj- zu9P+ZH5>-0c>WW*e5DacL1HE{=pyuUlKLCD?pB020@xEsu{jW?b})&M4LK<6fr2VH zQ)PyFWQxahw6x1+kF7_2qBEp)9Lvd@8w?vezp;L2XUPv^aU}GzeY78*F@mvkJzyQ1 zCR@p@F|4*g5&d%b%zgSz_c~LBZAVo_;``xf4vuHl1xMBQh(+0N?A4;a1-J$_1WAYZ za=Vj+(^jQ0hhw3%1mG?PALJ!G_JHOb{8C;r|zv{TCUa_XDRQ zxBwyDKd}s-7C_pH-JsZcCi%f;_{F zRttS{@2Gs>5&%REX(c#BOwmC&mly~n3ciHH0pU|Ej3IGAR&)P2fLs(E6kQNJ#s4ci z;s*%bK@v)2h(+Z0+Y`a=7A&APNyk1DwnxG=r_}(q^TxnEZsvCOO08n<-25`V@Cy1v z+wa;tOml18VH`8hH5UWN}pujrQe0N9QaAf{jbonAR-&S_kZSi7A?x03Y|{z193cX zgm8Y=Wj%ND(SOEG7)hq#6ZrkKsXrvH(I!QJzF4j!m)@bcmqGtXl{@!&;xiI5B`s}w zP8nrs)M_^Yx^_k9G{&9-_{SEZ(BuC1UbG+m>+22;D4Q>OE`w<}uXF}Ix>k?aj5iIETd`{+xe zzudmnlmu;&n2%&9LD+T&d-L^br_g<(a4c(r?XfrRBQc?zH^r20J}JMgLd#$g7Pmm$ zj<-Owv-Zm3+o@G{{GBa!199z(;+IA>3Ay(a>_=ykQ7O`N@pcPIkO8TAUUDl37O88B;;iDd;uN1e zrpBDENdBp*r?qE3_u&0@G{YzBb;UmS_bYRRIk8_^+%HHeFhq55gyvNvwVyITtS)Rnn^C(h4au*!sG~6Z4)D>r}M2R9lO>?k{DGo zbAw0HaV}=(XiRuRigD3XgE#?dU@d;^LU#Frt~=Vs$wSiiu>uk2A*G)*;#?qvSwXaX z4C&fFmM+J)icB4NqUPrDJc-oenxzbB=7;eqXwAm{={*r7H3kCy7nBI!D8Jy3nF5A6 zlPsF7#ZN9bE)^J#ouKp!A08l}AuP9`R7P3bjx(i67g`y_kb>Yss@?=i|3QWX1YZT8 z;~yg$K&Ujq;59G+lv2cINKXb}h-ZF=WYx%u&A*^Eo(`33w1EkrOV4i`ePD@Q^h3!Y zVS$Y(Iyq*u9!iI&2~4p(Vm zUG5~cWEuC|okNp={ezey%5O|bXfq~Wku^;@rGvY|RYez%dWPR`aTIJ*d=&&jXM(ur zJC&Z@O@%0Uq{_EJQfDcc`!Y=fLS`zN-`&S)w6GhWC$#HKNUc#v9Tgg}&mz(*_{5Tm zNd+D`2fa0Q$BY1NauDG!q#tFWkbJDZBA&^?@7^i6h}#B-=m@{L5!FeaAe~(_dN1YL zJt!LEnPuFjtkhR)@er@s0I0Cwokd>7vR5of{E4*g{QhLgW1tbM6-@rntrAzD+N&`!4G_!7nB9*rMUOf>w3m>9cQ?du86ZZ^wpEx!kmvho?9;%?W?vD7oa&`vZBv3PJ}kb>5t z4koZxhy8TfIjj#lvn+sCy?S5EI<)rd6)LC6AOt;Wg{Q+7pH)#h2;(VaGcmwjiiIk{ zLQv45m!lh!lu*ph*?n{7-1l2U+XtH!+>08?Qib$zc3gDvnSf6p`d7LE;91&R%{T|P0L&kK1^x9MsyC?^w( znRWU6j0ex2eAwoo;APFw*4YOBtBp!~#xrA7Kiu;d6EnvgIu5|l4^YYV9D zV1>*bND2=`@b?ifKY}l>`Y|a$H^WBL#s0|?5dWQsdikHHVC3Yhl3+0S8r}wjAtqvR z-*cJ*TdrH+=wWaSI30jE3QqL~^)Ntzpk=Qas4xWq+(0)EhtrP^W11h2M4!Upbm%QV z2WK%xPJ;i8yeJYbk?+@gjla=}gvK>$d;;Ti-iOE?xH>r>V@nxV>!*dgQxnm|nVO6I zk#EiHns3}-aq_uz2QA6k? zf4??l=e09`R%2d`v>%6mRol(RrUr@Z`FpQ*qdiqWroR)Xu0eHG0la{MyswwFz=vJ} z-FtrbzG3rNhz3q+oKoCJg%c(+#=;lw);o`|8b3xYDSn&>DNg+^Ge~G!f@k#A2z!uk zz7H};#pjl+^^PNFf-r@Uc2Oy{BGWao1&t7zqDGr1cnY~1xmu#u&r2~pN;hH7oTGNv zKOme>h+4Ya9>xY}Am2j|Ky>=4NUAU5@ciQ;Oo+hm=Uslm34ZX8fdsm_E)$x?&!I2z z-zTZ5M!&I#uKB@Jh)L1wmTO7UgeytJPzls0B?waCV~py;P=&~)m5Dte2fGB?*1DT|I6i6&VLV)u9 z`l9IHI0lag2UR|S3DEaSNw^W;cQDXhv9m>6tK7Fie z1ScR$V-#JPy17txB8yUb&KR^p7JSz8c}XL;rY4@?`j zU8!{izR12oTb}41XNAXV3iQfwX&#&UB+c>Slqw`{LxM5+_YiQ5QjG(4$_^}Uc^x0JsEYyoI~?> z+IsGZK_fKh@zV7=cSY(t)C=PPUyN1q_QCPNmGt$gd*`h);^vyUhGA#(M3k&#RJm^U z3gX1KiNpP&YK}pDeZah=IkroYjJi~*T~Y+%6Y6Ad=9G$J z0<~4Sx2<~JZmb#UZ&3KTwBjtDC5&y_Qy zw!<@-W_8mXCN{n1!gcp8X>mAFH0bu71ExJPyy^o{G)Sn1=gELh4+GDw_$BxkgZR>8wfYW4XiPKKc9 zhZuTRbOg#VFR+Fb6=ctW)_Kkm|MU|C(F*?~m-77!-adMu(H_wg02Z->F!6#X)%F{u zxVU0e^U3d#ePI~VppnUEwg?MB6(dkP-~uW2b3=ZtdSuxlbU1HzKFe1cD{PkZEd$Tv@(*@{T3xW$^eg`mzOCw@IzqEQ%vG9;Nv7^Wx)R4^!} z$H}z%o8j1WGts`|iqrSqyg*`IR4nNCWDG83JE)h63g>&7lR_JS+gc_`$XtW0W(oh| zUjH)@#}66h|3hl`hYAFu4Hne@lU;}Wp%h4${x79~8bZ;8L@A(+5M^b(`a_e2PC;*J zT8JTofOEKTD(4pjf&|Bwz;%3_ZG7_U0MpA@m4g7&xBx&BjdKEBFzSbBLYZsRvH%!t zFZj(R2B?iLYy&1$ZgU5Zc@16*QeKyoLVV4uL_JD9pc>oV3Yqo)mvt^_s96Ohji_@@ z)61p=Bl(zOyjgxP`4v%GrK1*a2EEk@k0ZDh${uML!XN7y>lzET!s-^|(k7@XJG;36 z4oKAv;M;WTd3xt0Bib9hEUp=wxJH?uvCGwqL7B2@ow2scBgks_VE=HmSE7FZSk%vz zxM@G*vyP})Dh*U)3J_`srM$HlbF+`MO^HllDEKDz<;%gE9Wt>#l@UfIj2^R9oOE2K z@rT9DZ<(CpWf;ZR*x7xXH1MK#FiRY{7?nRoCe@$aNF3+Y8;a?viWot?Ym%oSB>iCJ zIjPBzyt3{&V86u&51HSP6gr5=@58yw*gx1x`G7J^wKu|GH{kp>R)SPnIN{unIaCPr z4+R3LsBugJlaaBQvcXID)}m`1{$0(!sZZ3dpO}a%BE0QS3%6uGXs`%7x{K)AD?h&5 znVX#OqJj%SRjS~!qeMRIl?-Xq9aGSv1jYuQe^LI70pXRj#+pk z{l3}B+Vs*D*}Ql&*|$!>fV8DtH*codBd(bNNxPc7M73b1~HjdFjQ-hWg)2Glt7YEt3Ap$^}IRh04by=d5DVw)8WX4{3Oh z_t~spy`e~jJfn752ytMfrMP4JA&#ejp)>!%H_b#N9jXZn9c*DXtCS}nKgZ@Kj7JH+ zO{`6CqnS>0%K{8Y;kZKqwjh6WUS7NUc~x&rO;Z%L!1qHh+?5ShHWs|wB`-gpH5A@C zp?vn1U4lxs++!xGnRj36UAxZcP1htlM>};V`Cb_}WX?dwu>1??c&q!z)*z7|mP93a zu!NQGO*NE87ZLF|YVij}$%r|uqctp6Sv8%;N}%E8)O7DO;T6lqhirp;hxy*p5*R*^ zS0{mDu*^bQ$4RfcvW<xIIRz6~` zq}ywpQ|Q$D7&5a=NMIcVAsYNg#TEUf#P|(3%+H7DUJx=+fSIftn(CjhUiEK+RU?GD zbQiS;;(jwSskiPAgzSiU(g%`3AAfqq9|6&&Yzc1I~=UiWveiHBr6v6gOwEAPc z0JQ&c5^hQUh2mNmW-1Yk1A+i_$$m1O*3OJ|$X1O6|NR>$t9MJ_Nof(tFI~T1eh+I% z^Dew%e!%cXCmbs;sLbyMQS_?bLb-qnpBSg$n|6V<;wjUU>>PMU6(fG!E9e_(OK|NM7xOK#-s?i15E@_I?&lRC8itG~J)Of|%)V ztVk-k%l}cH6Ub@tLmEs@ei{G1GJ=!Cbus{j_L2=S5y!x>-(V}rhYtY;qNo=xVu7;2a)$Z+GJj5 zvy-5r(Cv+TOG?-prq(JGg6b@!<$*&UlPt0!rW2Nf3#^DC{QlBJU_tbA#nRTd&^ELf z)`2e8OXHbywvrX2fz0Icu6q zKeptTRVL?eSPku zaQsAI^=Qbq_O%$7$YmuysdB*r_7R%KSG!b^-p%<0@-hW+LHzkQ?D(;uq=K>_5o77( zmjp0gF|{7N2jeXz7tZOxBO~Wmvqz6+6lzLtmYXXpP?yco0rSqLM49OPa zrODqRefKbQ|GNe4^F1!lTFcVI(zS1nW6P}VAb)@X%4;oT9zuey_=J9c09rEqYtV;^ zqh@A|y|j)d5Ha`8gTUpk-RiN2SooJ|ovsJ&dDJUlCG7?NccnO^kw?KBVUo`W2x z_XlXjI|mNc74ZeW8$0+kzihggmBU+t&nuZGzOy{^oO__% zY?&3VgQ?Y7t`}CPQ+1+qqepYBI_p~Mj59Tw{WF@hp?nMAKKH3k5DD=I+EnFgoiBpt z!dfN6tdfaDd`=y4?EXv&YEz2=HeHv35|#=~yS^x%*=lIwkF7z;pIEt59vi8cl=b16 z-T2J3cH^ne2Qe0_Tb@)cp2WHsjY(q?`arRrt&ApMx|LfpGN&Q~X@Aw1-)MCBC-@a;bVIHmjFouoQPze3_*}9|9~}+e{oC1W9aA92b%_~_K3KF z7hFP4gIyg&ff$C#5xmO@&aS)?kZk9*Q*(0(j}F{R_(-j+(ckedD}&YZ9miYIOst0N z=WACrngV3S0zEWuQPz4Cw7&?>JH_(%*jLh1mDo9{;uSvPyV|6eOC=q_g8`rgmI`Ve zxsU|*5?PT4+5q%$Xh=78humKMZg<%e=Qc>kY~v`;HKX|{+-C$D#gS(7^~0mO$>v3! z6;et4*9rc}HU<)K2NC*x-sy+f6QT9|!Av7a+h5GI+u!T>j|)lvL1ud$48ylf*be{& zU*d8h}k(rGIB=Y@wb@(?h?SCa1gp`mqHqHmA&d6$7 z?fl9VOPUM2THO8XAZQPS z%6=)NTfBgAX&MdNjt{_$yw#VIMIGoAI9@|s2V9!?ijrsfEWD`{Te(U1fZ~c0%x@N- zrsg2S$OA=O;Dz*`YkD`bw$c$fTYOS!W$jQpdtR3lS~nY-8j|U%%#qhOmzeeNfZG%N zI{g@U=I1cwj<=Ax)e`=1wH&6$1VjyQpHU5^-_w$4xQSzjhH5|KD~I zdD{OO4gS|nF?awVi~<_|rpav6BF-@Gvi;}Ci{JBJ5R#?yAwjZy0>4iI-5>5(K?vF~ z_U^i3_PuG6%DO;hl{RsUL$^nBBiKgJ{q_=A+DG;$fAH4S5=x!l`rt!}RwtbmeSQAi zrMzTGyqEe>R$FAk{tpi@6rYPQc1F*Omr@P9UP(X1$b6{?KR&zaI6L1ONXc-zRNZ=R z=qU6+uB%;SQknjX0wY7VSSlBvlNp+cNa}mx7pD1^1E%O)Q>`syN4At|>d&p6(E_qk z@mS4$>}))&!9^whf^_4gcx27?udm+%bzEUSmYg?s#*cL$%{|0^U5KkOhTi#IRBarc z(%WfkDGR=2IR;OA9^!V^v~&v&5{yhjR?0+i$2o?I<+22MCpO; z!CL|dq!@mt3TbPH@5nX?GPEo3tN;DarPE_r@=>c60btMXHrSb@0t@dm+a3!#aRw?J zN`d9!%8u6J>0UNA4K1Skl7vTdf4)z#Ym?wfW1$g~5B|>Syo3lI50;7l%iCBY*-$aU z#*4a7WxdsgiS3(?-KjS0!(zWPKyk(Z3^6)x|REJ!iTAN1hn%39eP6(az%8AXpljy}FkubqScIUk9 z8>qxy$57{y&W5AvyQa87P2TUh1}}B*CK&gA)gcwuE6uBxvW~8PoOK8b%zySRu%Uer zfC1o;hVTo4#NbyTRqH07pGXEjNz(T)2pX3)rXyE=R zQa`5fe_UP;VEs4QSI!yx(~uY%m6d5# z?0!bpP`XtmSGaq&0_P_{rwEQqHaLCxZVPS~)LLMrXAA2Pb@kO3`pGIBzUjr4>jr3s z6Ir1Y&wdtIM5aQn#A9uU-ou(($*>>@`zX)h(i(%}>qasA2j4uaG7ka&KwdQbWTpy4QFM8?8ZPYxjx)q@1zf1M(v;5cxtI~a0r6y;W`Z`ROs{ zreajMbV1|;Kev1zuZcRY?;wfSVMs2pK=_bAZOFg5PF6kk=PLq;7Q>A|<;O!7d}#YE zjPweB-EVjc`Ehk6@qfCyf{?pl-j>S21H*0N0!%w$r?H6JwYcHtms-GV@;fBZwiw)F2c;1n++2<^*{n>yM47B_MoKc`vx=kI?x?X8QR8fn3Q3{} zB!_A*hb!uC?I>wW3!~k-dCLI7iru)|ZsW3>66-XV$o{<{=gGQF;#!RVK=VU(Vcyup zoVgJbjW0C4x9-lO=+!hCOi|K5Vkig1QI-w?210~uv73^JQL4TAV`Ok)A(@pHHY@#8 zcAM=lD>xHB#=H-dKxL(Y;#EJu^GFM<-Yl_C`Mzr$YaZ?8*iqhJEd1zyk@nU>b*1ap z@50?7K#&E2;O_43PH=*|yE}oP!2`iPKnU*c?!n#N9o9#Bckg??vpM&6pS!B4f?EGD zpZUs|@ADgD=Ev@dcGu{R6B=+&raEy|fclB4ajw?}=3;JD)~TPt;E#+_UnwB-D?*(4 z9|RUSk26YlF<=5#)xnX1HX2+w`W_(WFGmc%!SBGipgK9At_l1mRPjK;{N(FEO4yNa zxx)3gUvk!=WF>ATbUUPVH4f>K71r=?wqHWWIl30Kc|Iv+9dwVo>}>1OSjOrY6p6S< z4Ziz6db)RZCucNxVK^jO)A1dDy1G!^?5M5u=$$19z4q-Uw7_-5b}r1Swa7ZDiBB#G zH@t*ZCRl4;GlxJ<`?qjcBQaHIoNr$b3klw9+1=&p+G9}c=}WOw{*c7_^d)s%*7Ao6 zboQpwod21UB$1Tdd+*%l86H&LIFV>4CM(!H$;Be~@o_TbOR=w9swbG-aF>E#Is4_q zy^$_isj^y28$ew!ps@1N7{so$2y9Vu|99j^qT@WMRW12txO%3jGS-$xUgq;=++HskT+e^eaj)=f5iSszf#+bz4g z*fj%|+>>QTq|^8}~V$clV7?>U7-o33}CEoi1K0+-naB{~#*GdgwP}@%u;|fez8X zO3j2WGc^*eig6V}hS=<1@|NNQY--LHg=bLwn|6+a9JHh@yxY(_jHSJ9OvR-6uV0cI zyywk%-i`Kk2i}-?wkd{KbbG2WM=2URa%IqYs^oMhvlPRXvWnsjkwIob`89x}vO&e5 zZoU90<*4uJ_1tdg6$BL+m`rb<+8HLW@)OpCT7z?46;_VnTJSwf#=?;{x?P=rDG+Y3%Xy6?-t;Oq6WCp^{*w)o$1Lx8}xUxGGJ zl0ks2Hvgn)L@){L}0aH#0Yo&Jl+q zQTB0?ai2i|E}dt627p8_!!8#WCg{^=33 z0ey%FTd-79?U0BtkH9)3Y974aJQLzGWiJa zkz13V!q(#-k?>@ng$&Lo-|NxWlH8qH^n4*}N*IZn2+GoI^Tg^?HD>KoiR>vVnW3Ey zRWD@QZ?hm2pdIV)zL3BBF&PHnrqcI>y4MX$*D_dDfi+@}dxCc@i1!5)fDJ3ZSic|} zc~M_0!)vnqe=|B>@}GWZKmGq39WM<;5a1=V!xuB4{TZMV-~oAoLPQJ#N=*H{0qWnj z-#!B_U_$O84pIDS{BwzdydV^Q@+Je!zlUNt6RiXLMF@&1ukFCiVtIl9^Oh(MV!VBV zC;SZ0`aGbFtdM39f8ZnkGYIieAoMRsx9tZr$=AyAifaESkcrO7ACSq5CGL%OvJgGd zi`!YYf?^(L3^pINssfd|8dIezZubvxYwL{xz9hW;T00Z-BQE!DB=|MwrcGPTs7v32 z--wYg<-L`-s;O(Pq>#xl8!2-VQ;Jdhi$zwzq$15hfNVPw(wZ_1cOL8;dR;BkXpuIS zZkFR{HB;RP#?22{iSAp)Fr~9+#TohM+oTyn)_%ot3@L}|L$h5(*>5>VSU4SPK`L7g z(K1Z}l|gEkV9hxK2(MM+6;;m2^7o%%etTruen(M38W=+SyX8uPKm;86uTfMQ|8xK1 z-|gmo9GqkjJHsi^tBq*o*{?kv^wMI+1o`Xt0Eb|3Ue=44@E6D!qIYw*0F(K}?EZor zLqz>~#FR~@1^L?5y&{qS2{{`X-6{pih}zSN%D@nOhUB6vP|10+8QvLu0a^R+o2^yn zUG>}XXB^(m!5IYcGp3DRc>6(k``L(bBhl3BFp1~Jt6`H|-j>vr+SLBK(!(puS^iiK zarx8P6q}h#@a198qTgTZPg%z6ersK}@o8ugT{l zU<#S@^MSmKbK|6{_#r8eR5*dG2n;JFnw50%H-OHyll01%q($v()q6#G|09FOUl1So zA1uP34h@X|o`8~!^V;#_e@#Fc0^<0s@{wZ0iyJ=zw9wK ztNd+kkKe#Vo+09Vab|&SeL$SeP=C@nU%!9@(C^ke`@hix6rel7E7$sJSl&N@?Ei#Y z{)l8#{u6HbUq!MdwmUxNSC8D2a#tbb)2K*HluB;$2%{u`!<_=CPge-)-E`xi{n z1Mw2B^#YS*5@o_F;J=&?x1Rz-W_|tYE=AcQ`1f&qA59-mGjIb49}W2xI(^zgGW>aW;&8ChOYhK!tlzco_*m$f+o)8E_yf|=Y7BQk~#mE_;OY{hca;c*Ad zXw;t!qJ3QaMEhVyb1;?67wo&v9dw=%c$am+^ML{aD8dbiupS3tdnu0|e{m1eAGwo^ z!0TStJvS!(45tpqjAp1jIIUo%fyZ^g0e_XuRb<09V2OD)0B_r&eE<^A(i$}YqcDiu zZK{JAeP1F(8XFJUg&=oU0R8s^Oz{6YAio_pJTVMJbbBv5;sFF+2YuMhHze15T#>BEi@$@_t? z|7!^XfuiO9(k3J;pDB5sIuDjby2I0=HKs$V@qa09|$PFlC6+G{rz{BZ*bD z)3pSpmdtZvDXKzR_%?GNA{)5}`Vd>&GfQaG#^K{DQo+3$i7m8nJ|O(wnk$x-hbHd) zI5w=L^!#f#{5ARY4;Ha+BQLCkz{{biM2OHEV3s@B%d2>uF)g6D|8mGS%=2ji^P=tE z&Ekdc=-7`b!g&b`ec=y(VA}M9S&U;8Ck`c9mgG{xEdT!Tme3j{-iTBUABxnZM*dyu z#fym`PT~zlBB_$DG%{O!Uc|tUwnFW|dR29Xn-2P>w+-+4+P{~BsT6{-Qtei;yfJh4 zi31JY_+MA#J>@U0K=T+II#GMo2{ zg1BHN@`35HO$IW6KAOGcLbmw@@GD?fLJYq|_CVnOHN`FF#DZSCxYtA#=ig@>c}M=F zuz)oml1*0Hh7jC5Q}tC)!OvbAcCOP{p$VGsRPgGs$1jLq*8rP-+&hku_u}EvDR&@~ za4&nG9%;H;7Q3vA03bxOlCDMJ&ejwUkMdH?ii7T#*6Cy~$KDfLp#0{+6)Vg+^)i(1 zvT~)tC;wPr9R-JAFtyQa=Ni{OZS1!YB_hO1+8_dmwL4LyGd9T#u)u_FHl(IF!T=Bbs^hXv`#fx51 z`7?_N;&-m(+yCMgi5RMT#Vrz|egBfT7XlCcN8lbJIwB&@EI6Dx(Higtmk}63>^c;n zdEqxZeJM2B zuNM~m4LIh%o!2Nbu>F~h`iCn9M@!(JxMKdp|I!AC{htjmAUvGIlxPUaJJ6B9mpha( z$Ums)^b+o*?_lgjAE*F?OwjHT`~m03rsABfB&^QyrRdLnEyc? zMtG$=6>z%G9N|8=p;o$3Y~O)*k#eSL^%4+gEa3D$Dy{>$L829KBmbiPa=Ij#mJ%O zr9odyD!yYFB_Vf9wSM~b3!J*D0@m3LTZrTD) zt?l@FcV&im;xM1OE6lhnzTU{7_z?{{?V_>*J9q%k;3oI-mcdN5UhCEE)MtsBR-(d7 zM&qz=Gk=~?lWycw4i!oGya)6jb*$%*lW8T*g9!t_GN|6MUC`#UT_01@WYmy!Z9 z>wDmDv#>QmeX?lntrPEOOtu=q_J&Y6+k5J$6!y?=Nk3(_ixhJhGXSs}T%#r@d% z_{h6NAeKv!Eyt0mD{>z>L;RdcXkT3TW68X_TQcJO^Cj$7nq&M~z;$aV(m;Q2yih#z zJ+dS%W4fY7{>FOrDzxCX=_(#Q1U(iz%%?Pe{I^jUECi;5IGRx|#Z*JcL=0h_t;ylk z8#>CNb;6?k0*a20qvc}LhcuFr_V_P74;%U>@|rKE!p{a7y4JDQ7N+_;jJJdv{QDE}{U4`(m_ci?0zsjq*r;CQ3}MuQf|&mb!V-b~-GKRq8ojN^6JQ*! zpBCAzcX(J^PIin;f>hlrqbFMuDnVy(_+~z*c{YPo^8IXK80iPQ1R|aNBM*M5n3DVf z=X@=`IZ3WbN!0{r`2ze-N-;AZ=+hNq?wkuQ!}Fn-g_yO^C5kh#0hbvdXi5ptmYw8* zgpN|JMjOeMgjTLK-W~-EAy!(&I?#$q-k6r(c~$r|i@~e0hyQ?CU}k&?ss7ES!WbAb zLn$l&%XRd>5?44lC@-NK5RBZYgAivgbSdcL2SO?~mGUQuko%X-wvFLW`l98V+-uUA z^%a%K^wJamy9Gsg=y)(RAx{Ua@P5NaVFo>bWC(QuKm)0;O*({ z8(-DJGp#uxW@}Mulea)IKNcjdR>5GK3AIcb}0y ziQ5i#f^y5X;&?6h_;CmGF~xyYZzMpA7Ml;QvW=$v6Ak>E_o0qKVC0*DR%kGz?<)I- z&hYb6J_>41q{^1J_Gyr-pChSc7<#=n4PH^7|HNV9JjVC}VZ7wQg(-db3cjMxj13^i zqsi1X*C16Q5)}0>^h1Y3t(q0TP;_{St}kKmZ3+SpdnZ2-anT#Maok6rm!ONBG?5W@ zb3S`UeM8u-_SoNYaXNJ1zf^jezVv?JFofFO_rcAewuLV#YDw&v%lyQB7B+he%3W~sh%ovg_z^`E3B<^ZD>LT`B z1CGKSbDiGYL=^`C0qO}@-mQlY3uh?wI8}%(%Qubt`6-|-BchvKB<`O-@AcTOC( z5@eNVo}|jU9wlnI%5Q|ave&`G;Spxrip&EEcL6|rL1aSc@0%v&j0b+uW&w0|{@~m( z{*CS6*I4>LAT%@Kv{50Tm`)*WFT#N(`3$ij-wy`unGE z38SsQV-=uJPf%?>!Y(3w8bL^IcH}i6hP5D4hs~EF4$xPEe~Wo&0~{8w7cZ~kSR6_d zmEcO%W90U|#xojq&rl|``!QZ@eRs;K5yjxd7?C?(F z;%TgQAdz>q!{l>FW_;_dZ&iX49MUsA*BdA4(h}#rV>uPWLh^-}CW5fYF7op%i$gSX zm3XGWGLgJr0n2+ZnA9I$V*uFxbGv3FV&r7vfTx!+wlQ@wV(un#XL zpbMa<=Vzy<2O?v{5hCuvK8^Ar$AL{vBZc^Ve(Dq&!GafBKJE{UsSVkO97(Y7ob4jBhnQ(N`qQi5}~QQsEu5A9Zf z%)&y39eP*42#hH#Xy|sZeWF}~sXaCloK4s)K5AP3SBup6z3FYPGZDQi^ z*gK}xzC>cI!U@lVIc3@?sH0Foo>m(BLHEJkH?rE`lli3+3?0#Del8dE2++>*TR;-W z!GU*ebhZx_&Mfm=I0WcmvHImRV?HPSoY#X+^IHjp060K^@Q!P5MgQ8|O+FfgN>I`1?xc!sdxTXP-k{0~ z|8`Eg;^No+^|Q`LU4Zhk)*TpF6F=zrVfaz)BP!(L_=D|*p862U4=Yj<+qSdDEs&6g zMi6#e(r0-)$E`biS?Y?$m*bU0Py%yL8vTX)A+_f4#GY^22_dsP5<4fab*rrc|tG@Oz z7(?R^wcVvoOR=?vnNf8F(6_C!NLjwaWn7rxj;{CYFRz2Q=@o>wIk;U3463K>Xv##T z#X+~aNiukz{{`Z-jAGzWL0E%+xN88^`873x3~C{uUFy6A7j2C15Cm;^c1Gjj?HIt% z9mj4Vg8@Y9>M`siN31JlkYFus3t>S5%|39rZJkKsM7BDB+M_!NE7UR${u9i;UYOON zE>QkiE)vPin=WMdS!{h7Y^{u-)>A$9dv@$w7+2Tlq{>y`sk}Pa^2%vJG|kY=b?c_9 zD6+z)yb;m^%-R$Ced-wq`)S}J6z|mcXKPlUHB9Y#E7sK!iGwGKMB%R$(ess=b*~4R z4v>0m69@nrg2KGRc+3%aUfEPf@`Z$Wj(bFtz0}(TI#*K=|QG=V~z zKz_bXq#mh*1kb+pryywGWC&Z7whfmJH8-1by@qGW=NO{drK=i&%^#-gGl%>KdMNyu z`%q9DGLa;0>mRS3KiZC17#({$lp^!pcT`yw z4=cbAeqORXC7h@^@|qY8Dj&@tv`P<>b9H_%<%ko;bhcn(&*$tO+YbWkxL{2+~S z0LC>|yXwOs>4R=iPA|Eh#5v!}*mu6QwzHL}9r|lljZJ9|;6=*!u?6es$9XtloerA5+co%}rTr zK-vxfp2;B~XIj3vonD-zyKCJCoqi!h|(9^5f`sH}2dfh{kpqGH-8!hfJ> z+kjnTKcYh(#f;iG8OcI5booWWkfhVD7L2~}21(abyUFzZ-P>TYlJIPy%)CmAxzy%pAm9??7En#d-PU0 zG<9V#r!;P(N@LSz8!VG1RN<%MLEw3qza*m0 zT*nhT&o|8%@BXzs-e>8c-#O#_D-j+ZK0U5D7J{_~!UKG6R;-pNMw^eF&mz5|_cDjL zW6pjqz}Zwj&8v&qNV4NpYSJtbwlS!KvyTG<)x|ZWqcYRgK=OW%z|Mp6GyL7D+(5L; z7on5<)p?s5cWT#!oi3)L&g7a;)?`D5Zu1uJNG9LEPyMRqj0F^(vOGviT!`P^vx68J z2NvYAWLaP5=WGr*=lnqIn2tLt6%B`Bfgp#7=_RZ9o>F3ZP@ZRyYE{PGj+C!CDnSlSkaNV&OUsrSEiJ|#4iyB(@>50-NU6cL+ z4DFfb-OxtL())e|pyYlvo6xv&*d%x7>>m|1CGpKc~-)6uCFI%mKJ z3!yk=x5RWs)U-}*nqa4^(=y`C_hGgVTWnkh@GIg-h*T=T)b);&X?rHy`;25MUO1kU z)-!pO$9E-+oioG1JSNl?6zU2etCMBb*xzddBC48~Cn_l!y&I=}Kslp}A-2ynWz?~Y z9D1saXT-PPwOtkI#q3?7bl%U`5ARPmJ4Q#JN;T_f@oFqkBBUlV$X2}TgkQAFu6>N& zv1)A&s6Y83&lfDU%+LAD3|aoG1TRUEo1pK$5_sCw)-#80U+itjjj&T@*TkOmMUOmT zz3PTsGFd@m_no(!#`Gn2^gJTcVFX-?bD1|a?k%{f$x2D3m3bZf`1LfIX73I+rbdX8 zToN+9q4kuu^5&AKx)g7DRrk3ZS2+Bva7)+9s&x5}XE!>^zVpovhhk|smV#e&j=gWI z`Az(O<%-O><`n{fOfB;+N%B{ur52*+;6x=CP}Cl$_Q7_G=pH>H2Iw=Vo6X3)@6J$I z4;B*e^T8!6LJuieijF?efrG7g-2K=D3vlf~${TZ%*GeJ3RhACfL6MnOa~&C!zoz}* zwLw=si^w+(gW2a`0_H9|WPU}r-n)6*m$@FD+X_4S0@Wd`-70PoM2`OpH4t>tJu*`O;j{Y)x!=7hF&C6>X%=Hd7s9d#llL=PY}cHwjA* z@7Rt9v-hO04p=~bI7geUO>je4M*iY|bf zxA|0tX4etwf=vD0cP|Qh+ex4PmdHSS+7}eVPFHol1Y30xe~{$IC*)3nt&_aEasWPi zKoTSAraD%7?9SQQsGj+oYA9SQHPPVC3NclZsW+6ZkNQ$_dFKQd>4O5wB3TVyL?Ozo za4g@Nj~54tS-L}`8-s-%lZNUy)$1o)OpO9#hZ4;lmQWm%994$4$eBF`20y@KbfzO7 zf9sL#}Ab{a&^K75+al%o8^475u-ThNqaw^0Nk6blMxt9@Zz_97+wJiEl5O zC(W*IcHqgchXvemFbURi7HH(LbF2sQk}A^OWqe9M)w9(X*Yr-ulrp2xk}d39`yg?% zZJso>y}67Ge>gn_gD<*$iiF#czBq^c?gfo=+ICY>HbYthEw}6XNeRs)b8t_QmSy27 zp%HuYa?Ca*%u33^ZSw#*RX0=np|(mf6lOHzbTW>XWIuP#`I4LiqbE39jr5oqz6ran zBK+dZ$=r#M=qJhu64PC;>CPaW?stz*OyM7Ld;QlvvUWBzsexLfsI=ZJOB|!{zs?C{qcz*Pm%0chmi_a75@!Q0-t=VQ zO@*zY?1UETf}yogcp}aMGafD_lQZ#2(CcDnnk(37ryk}bKZDgjogi2yi%~gcKMtK5 zeT<%CO}>VxF@qcMrWH>vEpV{bes89xJuXDJ3^TV&%6oKlugD&W;aE#ltAptmI4F^E z+HlwB+&6AV{b^nHGci3@PlB7mu;?*0<(6Bdr)kV6ECvH!6b6~D=J#tdG0t|bQaWag%#+05qb?Af`r($ z7CuQXUn}whFQV4hiata-v>Tn*U+<}SFbdc)hFk%aN6p?k77aqN$%fmN+##(r$ycS2+iRc_Qh3$qT^S~A~B zTCumc+tSxC`kQ%b05(lJ z%!d9|jRxsbHFK<$MO zxtZ~i4s(r7R=3Z-`KeU#$>$Xh3+X5@9jvg+X&@F>3=1?V{c~zEDSl$8I2!^CI?FK&fxTCDh zb!q1oHCL9`PhcFH6$v!+y5AjN>BpeI-FUhP8>g=(IKh)-qh6;wg%O^0F%DWX445xiS8|X`zu%0T1wuSECJpvU=acu6a^A)MrzZmTHw!ozwqiG9eUUK6tZ^O$=3u zl4lf!B=kd!i)UhUv|wrgD+?zWd^cnC-6;i7!r68`SxaL^DgG;ff>E?;S7De9I+};M zVlKd3NHj&{BJ6~~M6kmt7+kz4Vm_%A|f(M$d#KDTb@*7r*`Xa_| z12D6v9fR-0rA-X&4o!$N4UTAT?2&mxxS2F=w!;!6ceB4lVSUprrUlhFgtjS-Kn^lo z{zPt3owF(zMiy7Tqvk#q`DC;aa-uTU5AqZn6|l8h4Afu#3n_XlHw#cJLiQxKQnyCXB3 zTQ??{v9RVYa4tn539KO-U8Kj>Cp?a{jX|DoH-xu31t#R_1iyJ&mi6S;G&-~H!(DMT z>$w}iNw9I-MbSjwlfkHKuGrK!RQAzuGzv>{@+oQI8cH>Y01#X8D4Wp&4n@DUuo6r4 z*z#vmko&Eh{`exctRI|<4}9#KvE-vZT$rnjK=ie>MH{SU8!~{W5Ack${K|tpsa;Q) zFd;8NiQtuTnYbdZJ&skSA{O*K!5`L(&i~ocUV<+gO0icUr#^caeL?R#o7=l@{_0%) z!9`-H-okrj}x&eY;$o_}*_pAqOHqY!Z z?EW8D6D$$)&FL@B!_4e2iwC00xZNIZ=G6qbBXPNw(cEvD$tDd9&%Q;;qc5j_fXwJ5 z_xc2j!*^b%yWiU^fam#>x^2d~U@pESst9@SEs@0wG1ElYy8sT4|LX!rM})oJ--5y& zc$hsHZ>!33Nhqw7LCZ?UO|}?2O%&1ZI*ieeoBo~g`OWG+?ORLi1=?!3n$!VV!&@{l zlpbPcG0+?AGF9ij+=0$yEGrorgc=)JEWoF3V2_5h6z%#FIpM*vqw(>c)0?meKtaVI>hI z!_MWNQGfWs=juk~6k%VAWe(TqH=_{_;W#~IHhJvnR+MbMYC{MkZue2rjS}sr!!b=l z-$u(bwdhD{mv!8UVv%iUwPi$0XS+K&eWMiAuOp>8(N#|keoaB(@g-n z$uKl2R|$`tOr@z^Ex^z7`h%P1db`T(VARJ)pu|$P|AgSsNtnu!x*WUORZWKha9!&6 zoEXg_Odt|DIN!q_oWNH%!6Xo9n2{vkD@~jDy|>)RrnlCLEuhL0m3!LjT_kN*(^XmF zB$E_QKd(>zl(j(rt7TT;ZLxCAG!Grd30l#yJ8@j(PR;P4gL#M@rMVp~7_?=Pk}^_11S93-ixbiqHhKdP}kRI*37Qk#Gu{+#g%X z=^O%dAj?dyTM4#jDvFsm32;o-xFc3|@G?YkFY8X7HrYaZxcKnk;TE%aGjfhh3Yp~O zZ~EW*o}N*u*tZLsu4-(|u2PvA=O=WcD_ezxH?r=c+qjf66YR;sWqs{!1ELC#NU=^^ z;kAy*-r6g+8JcZMWYxz?C>SrVX&Gb$U6jp`@v;su&Ck&rJ72_xnW)hp5Q@(wOeZq2 z$$cjB5iq%C(8*=!LOy`dd~mC;Z$~Wmv0|~}PW=(%CXwzuHdYlEidYn62rKc?x^3m< zDc930M37in%X@+^P0(}-40wN^H!;es;e@_)dyo6P`3NRJ7s36WtD^nU#2rOiBx@kJu47 zE^U+0UPseE$0KR%VXnn4^0a z?3YiUdoj%vQXbm6AB6|DO=GWqx+_XJj}>i*Yh#j}BK;~;fk__l57L*E-knPoK%>4- z9R*jg#>`(t`7w&1Rzeo4>Dh>sTjyL|i*k*(Mkgal6sKP=*}I6V!hhn{OPFf_(hHEwfG1ELX%>n+KRMZE_j7> z1=Q)gNrmc;kCG5WtJ^xyk=~<8U-q|?C^big_gI=_nC0zmLZsHj z{kt?VCIvLbgolWu*J*HL?_9FLKaEcQ;bwO7)EPz;l5kt0aeVv_Fe>wAAI!JlY) z(% z-)H`!Olf)uONl=ff@2J>RxYTtxvxST1zKQM1nbs;2Nfc^UarNt!}s$F^xc7RS{LMsh@@TaWN`VWduX7M!Zs$I{#+3Iz^4^?X{Qf zGUVJ~8X>BCMa`tK(7Mfp@lwdfwY0HDL+G0%k+K{42E^KJXl`9+v*8O(l$IuqAqnzG z!!Z17L<-&qsdmEC)BW!HRhZO@8Iv!$9L3BXlojEbH_*lFU1@X;V7yf*d9!C2X5zJkis7*8v2J8}c+M_&lqaH-ea&Wj+OGM9OYkT&5$3}_hb$T% zRw&^D{my5aQs84rjaT?gjMcP}34r-IxaYQjb_sR|;f~(lsrZq+?nAirk&jHv8g-Jg zwND~4X@6T>(EVmLuEcalQE7~bom1z44vHmhJ~-j8>YdzRjDezbR&63fE56eYQlaUV|}8}C=cg{vw$(T z*C2Mu5ShI{sIEh}_JmIBc4tW=oKq$XGP-xzJKYn{QoC8aYGX^$U;vY)K6RXu3@waW z*empQoH=MDg!Ty1g=CNqhb~|)=8sGo%(vmKUm4lKW8GZYs&#QKQHr(BaC5`!ao_6% zj84PLVl>SA)Ob?cr2U4#nNP~$lyR5Gdut)Tsngh0l ziE7nq*h0RSY|O#emB+4&k9+$LV|}&m#a{W?Nv_TK{bsV$E~j-F>*FE#x(q-y{yP3# zs3;r@WlFqGW``*r=eo9;b+td&0ZzNZhTNE{)5+57K zx_NeZH$Jc|1+E%MWpB1`oQZy{$|QJkTcM>C+Dl4>&U|K-0!j__?QDf-v!I`&vAzl3 zR;$mKUR2H2xE6BR=P-NvF|S}xCoY#jWgi-KBTx`0lWmUUQAb!UFaRB8hp6wCkYlTs zIb0P*i6N@r3==3SUU081))wXOL__jkd#tB|%Kc#R5lUVVN%$$D_3(MtLrp5~J|UKu zdGz+{^I>XemFnD&=;Jb(_54Nr`2a2sMLgL8*e*80z*biL(0!MFa7!J|qr`~MTu~_v z1xuP15^Cr>nx6+QY8m$x4^wM*Be-Z)LaBfl@z^C6j_WUcN}#kCo7;?rJ2VeY|G5x- z;(e~_$U(k0qB5*8&fEtiszNxWlZ=p`yZN^%WpY$*0v;Mrx+LkpiXC{#3_hDHh$em> ze7hCP{!G-G?eZbB?evZIT)GXqGLugUM*78j6aNmfD4_z^2fFzRcN^GcjZYI~AEAeP zzgNc5F>hUAS8EtOhnk@hP*PK(PbepQUfPL0*Y8Li3oPl+#lpJWfptkXd4uWI zg$lJ7ITDU_+A!gXi${b%$gN_a1ZwOvc_4<5#bX$ z{4=t)FrU!GFT!SEpuw=6jFvroPW|S*(8idN(DkR;$u_3Ro{U+1vR>vSN*#Ay7J3uO zv4b#Ip6cw3%V&e{XB2VAS6z-`-DTYNA#WDd(XfGZ2iN)MoSxBFaa5z4w!YkkWz`F& ze5<<``YgRgSd#{)^1DtnjS+ViE55yC2lkk<^~55C(sHZoyu+o+AN5mi4bugpND@pM zqyj#6m0WlOP&rU3>KQv#FFBf2Ox%Cv?^@~($DNWdC5Aebh2I?Xe;V5D_rX-AZ^@T+ zbV`$!kl%u}(I$2)wFXBaSM%J?6JK_E@g|$Is7;D$DqxF7dWoHwUm#CBugXz(^r{(i zfFpB-s$ri9^+yL>^V~(NyU{gAqeMBZwf(4gs|GO|OGYLP{Ryc$z4m|_hPFqRw$E+i zMAqNaTWyK>YtfhMN^}xnda!a;ey&YAmNu!47~dr#bwLb30?X(vIHcBh1e4R&L|JHn(&6 z5_xXzP+*2tN!<6CgWwNo$R$VwF%=LyxgjvtSxlPVJ4t zwyy4hd1!BKoGsQTop>i!MyDn|k=9l*sLx19)o<)?B^88{ebLE4$NY547u>~_t`wT? zN(S)`8`~ozA?4WTyI|+OVO7!fPaM`oy(!}FPkx{dUpK6JG_c-G&Tr~$BZ7>Hm^n5{ zV^1+>@E>?iH=0&HK(tBdY-4W~So-*S4hvZtoM#K*?1}2&KFWZxg+sx|f}^w|#+^|8 z6pTl!bu7k;9OQ_TpNP=D7SV8Olcyh+Ez3EE62&q44{NN5KazYELb zuf0 zCbF_(s$tvv5`?q@m~}o(B%~kFUuxR$;hj)A4oy;JM>}d3Qx7kTs_vPf@_->G4o=ac zc1~+~R$id-=EGH`WF1(!6mKZbn*(=D+x9u$c9K+F`X$$p@9jV&XP;1pRQ=Kmmlh&q!Vhhm z7$5!FJXRi8jf``>vvS0J$lttY0UzP5U$&(5tNNf@`^ucwBGF4xnIh3LyHD*e!?G6&4~e;)*h?(LwQ8-hoA>VVXOFmiRNF(WJK~Dg zz;Z`Q1zp@q0!>6%k%DconLc~oH=_$}E87Sq6z^E<=WKT2l)2J5ysR3M?u#&1E#EQ& zVkk$5T_>|)CNdD?Wm^fXSQQi39$9?7pnc+jx7KF?@0v05zPBWv)5>;E z9$XBQ+2w9!a~#~&dC}lXm+O8&;Mv{EvJoV?*LE@|bEIA3Bd#F6`#d4A79?;Vcbj-s zbmY}+QTA(*F+DYv9m$J^fYFwrKxfVkmXCbc@RG%tTC6MT=poml*L$X=irlFd)8IWh z!q+AfTCGjBNV1{Xr8wIZ>7<+RI-f$YU&y%reW2579?uYMtljzw&lTW9rg_Q(-;e-r zFS<#9D=rQGQb&&%r3m;}Zu)jsL+X6Rlet{$h<#Tk7^kVvSDOG^QeNbZ|yjr}H2}8eo&eSfE{;7&;kIIZvWy${rEnCEO1oXc{FYW3W_)!BAW-D*=~LM10hoka@2PR%I!M%{Pr zzS7M3%&85-(1mgM05r0Osi}Bg3Q1^W4ker&=_be}eUKljggc5JhTeo;-N3|LMcah% z(*_XHOKU}~AnbZ@2R=JEJhAcLtezYo+CzWfuLV1=t%T+UW!?$-6B7BQe&_C6xmk$< ziJEC^1E{&B+5MpUdXOWo3+^j%jh@(j_Dw$vOz-T$IDCDdAB@gR7^q=q#~6(HL;Pk?m|J35k)=J5 zN5Z1t=mrr~je8;s9yUEU`N@h4cVW{v>^`ZN@i1|1JNIb)>w(uU%0)kh4ASD}A>4gr zee;pOWrwoT$*n~!b9DZ30V;?uI&DD@<_<3~J#^pKz0aSPSgo}nIyD*yaB_z7$l(P( zGp|G3I`BppVf7u*J40~HwxibWV757qJ_9U2QO}`*mp0VNVAUH5VM1+9Q3E-u+@)nB6h%$&C-79M9E-;N#^~`U;e}!_x_Rmt{)V z271Rw4CuY+-ni`T=tfvA2j^^f8a&s=+kEuO5NOl(jYu19Dg{Ah?9D!!pUs(HJQ(=S zbY;ZsaJhg2MoEuezH#S##CC85XWgX5pQ}f=c|;hipo ze3~Ja!QOu7?na~r3U?#BEWp2E1}pqF+*%v(P#^S?-px#T(z*(w=$%-azS7Y2jeM*u zc@6|MbO{pC$Go5Kpy^T~ooXSgI;xQhUyQRhRlz)?d76nywXW*J>@JnJnXn>JBq#S& z%#-oSN|IilYEjmi-(quhKAv!GOl%lQy@A22er!Ri7JWSY0W6=CY+=W&s+^T&fPyZX zQ0aJI=FRXmew;(65M7PUo9lAchu+d-JB|kzR%#0>zH@$xyP;UBQZq?{|r&__Px+j`RUXlgw2fNiHr6Lx_o*$i+=bs}Cj z`YM#EqWFC{Z-OoG;n!qsug8bb&g!NTsqUpjL*fAwuFG0v_Z9h_ z>(sK_P~)tzL?U5rLP8mo#!Gl!nyC9`u+4RKelKsgjAcC+CkbYn1{JYD!!rY~8Ox+6 zrqA%lqjelDGa4o;y?wWCT-J}L-!JDG6bbACFduxc%^ladH8MIQKl{T%6gu(~x`+k$ zd?~LLnefq_-;b=zrwaXC8$hW#3UczrlDRAePC$1CZY#dUcl6!7xPYa@$c)<7-U z(Y0slOD!wuPwS_-(|xLP^x13eJp>EbFdUM;Xv<`+eyh1?v#ctze7->oYE)=3L-fy%bYGWIV_`YBOxiHf zpRVDU&-79H2+V^{mQcTco4$Y9hR0#hz*?8cN*y<0IW_cG1JS?{i99OAfs`zr5x+B0 zUqu_tV!ba0%lxuQN{ah@dr*t&audzq3va zs=%_s2@$AwUqU-Z*PwictF_+nLFj2zcNyvCq8dJ95Q(tHR1ZE3xBw%fTFTaWzJ~(o ze$crAu_%3>NdB7bOD>NQg+vBp8IOs4rrMcE+} z--acT)BG)dwcB?@hu;WkTYv=7>Ff%xR^NVgJ-U%6WmFG>Ah3Jxa_`A zV3*or6VPxz>0;cyIB5;9`VN;GaXwB`@lA6GthsZFpHF^4=cGr}y!+ZjdJYvm6er5^ zn(*gH1+~=GGt)DPqJ@m&d#jYMZq-evW}?|P$y(DXQti2s?M$0`BvgRFp@+*>+gKR_fOvn0Vs z^(kfCpLG40R@RGXfzHocoK}f>V_%?|p`xHPDV6!5%-I@Qf^WYMdVfe?$2?|Ri&cle zDV5ezI=2^13AN@wtbA8X$bWk=wH6EEshxiAQo!^1zcv{a!jGtWwtNq?ap}-3R0qra zd3gNBZ~sye=9HU#s)`iXGEPVnWbWk=N;RevJ( z@Z4`c`~U|jj)n6$RgZi`rfH^5y-XL&i}EVQpk`rrHI2_5!McW71X z{+iN{=9t`tWOD1mNVPX(200w_sk6E<5#T&Xm zxZ{(ENgC-I7RfDcY0cD84J9~|*Rm?WsEr@ANj*vJ+;OPeAsOLvAW>sbebh1b$))YC z%+C~qsW;bF_ARngHFKP@&iL{UUGN#nlhCo>C?Kl{8?UdGV(tBN&}K*|NLPCywuUZv zU476~Pc%Z{`8dv9fnL12`+I?aO%~Faiwg>QP>BD`Q~;)uWomPu^vw!ZU#7-Tnn*%5 zd+s2)8s6Xx*%tvLOEG{SKlV+!;Bx`Fn02lg804PQeDdzBIa4n3DqivURPR?*Ij%4* z>(_6RaFnR>@lm~jeZaDBsOOMu&8-K=J$=V>cT1y&v=KEgaIviJI93@Vo-ttlD|Mr>5hn2jh4L#cY3 z=meidgdAGE8vpJkMcaoT8rVgGR`rW>SnLDmF;2p6q?LEang>#&IrkeXC?9uSxbMfZGn%p| zN+(R|8C75IoojyT@J(pcwQ@xPwAq8NZPS08B$Q7KPM&oR_n>l)VHA&YK!M=JzE~e zzZ5;r&ATgpL-cb@!Z|7Pj8HF4fYML02BU6MU^v{C!L@}OtXt}_-yf{Dqnu#_(W~9bI&Lk+bOZPWkoQf zPa||5Xx=FOw#G?d>-H)u?z0>d?v+aT9)dQ^Gn%Yw_-;(~ZoS)R*DA3S8#H+hsMtk>MbL6A#W=;0(-v$fad^>jm}a&4 znERKknGo{_Y;ioCdB2qEt5%tcw~FxIJpU7X%Fz}j!0K7D&9#4xuARpCG8@ssZ}!mU zHEGAmW@CM19D~AaUP#+!;*_`hib@KVXQg!eD&FS)gdaP;zVTI9D%f{Z*?qTDjlc-M zPJR(pI=!%Z$WdhU4w79GSr^z${R|@rWx|~Wu(l3)%GG;}j$J3fL z2K;Q1m4CwlcT+3d`AZo$ioFg`OSOV3r%0VdeKx8@?{>}=vsK3Rps-=lGFTzE%v68a zKkg>V6%K>1o+DmFoJmJ6>67xDc-4#VB4pAST6$@Hx6U0;#GH{p1c?SdFJi=cZLR%49+u5|;*ZwyD+2JA?u*!cKRkUr=Wa!J4(_X*_|qPFoyg)VTLFAu`^Tmv~mWI_erM z_SYyT7XzS`W*e{~p4?5{VF=5#?(eIIG+C-;Lnlq)gx}?azllnQYJVF7!Ez~2 z-ENi699u~06kZzMA)G~z?Iq;l=WVBmpqyKlVZM+<2@C>+zh0o7o>FsZB?>IETq7Dv ztdJGiW<@t)ela&onjc9qonK<|BssEnK{n(xkc(B;jh%~=?YbN5AM10u+l0Rt8l%&p z<>ekf)tTCmCucRm?~eVD!JMBEb3=%Yx}6}CQ)woz%yvtzYnw&~JYrI!4^9ieMW+)| zH!Tt;v)=aG!NF6K^ zW@D>w^MGTH3j~E)ct|Zi%7=r;;qI}P1V@@ktXlB-op;;++-r}I20=Y{B+eDv>c@X# zuk=C7mu?69`xQ1XLvj(F6;n#j*dEA4ZtA4K6ieDdtfz_QdJ$3tA!;}%zFi?j31pgk zX^@%`JOA<((s_s;+WlF~foqbi&X82jvhIKE^%yCcl7w#&d(EHl_0Na{f@XJ|K6lq2 z53Rc|8VR|qP3(ckNt`!jV1FRj-GSTcHr87TDO3uc5Pc162quI1UYDu?vO~$|I9*^D zS1^cHC+Td#jyCGKsVaV&(qTXn%ckZh@gL1_-EE*$4tsfJ*UVy>(+hX%=E&ufIBlFo zt76^yN4)FlU$H&)4MN^ceLdER{QPXN%yB7&5C8M3U+GeBPpZvX7m$z?X_PFAq!wUr zoW^fHQMs5MmPC7lvK)n;Ic$f(ln?ixzd%D=lC(`sp2M?n3fI5m^;e}rF%kC zK(%Oe6%{TvqkF4#MZgIg`XHgEQnK1t@BUm*@rbBp<-8CnW zV#@#aY&@MqjpzM7l{OF~lT#Vv@+#OVWmk&46Pe`(V=*u zH$Up&G0XMjGJs>-w@6Ll4k=h;9>zTH4(ijBDD;<8LcY$w03K=X7G|WdZ8(Mc=ioxo zm;hqks1p}qK|T`Tj7;3wJ3d4mDTI#oU8(h^3U{jd>?*A1gG90wF)8bqhJ1UEGc}n@ zkkmXPEI)Ncd55Un#TP-Nh{wSHmt`|ia^u>T<$(adcNIFtKGUSB31Bk0`9(Iq_B@upgW1pl=@q)it9B3to zsIL?WsRy$X@Qt@vPea9C$+W<@t+EFtr{Y`&EBYQQi|b~gz*yTEbGJWH-ceX)bv%d~ z<+*~={!A!FZ#3u6uyup{l^XJtOj_%tBy2&hGvyyrGJxSbyoHjjIx|gE_LYohbk$wg z3gicy(*C*_tsR79h*ap!-4s#V$N-5_e^l3FnvBksm|$u0j$`(|SOZh|RvG2ELZ}7@HV4E_x4W5K1gwIs zcW$I^vw?>Q5f5by@~c{(CGShaTvkstzMgTt-^YD1U&okMZB}N7xh~=#;_HNqdQ>rX zYqFoT_L9#0u{);RpjIR-KUlDOjH~@FRYrlia%fk5Axr~Zl|o)9MYt);9dPI@#Aa29 z^T$?N9C)RzNU~e5-Ac&JguD|G6Oev^mzn~Pq_u1DdS!UjDT+NAxO0BtXQP@{#Q{;M z?%D;>;aScH7~Ij}u+cxEdN(-)S{BVu-GJc=dnP%qQZMR?7sXo0z#Ic|1?7VT1L1@H zN960&+rPwk5>3Er2<$4W@10!xD0~!t>l5`B^V--?|p-D@g%<=Hafr~v~ zb=fB<`l8KaI0fE8mTV7Iky*JnnH;85(wO>6v$A^t_9^f#1QwmnzoL~od^7<{#tXyv zjL?%Qeo0T+1*>9fmcC!3ZJ52Gwal147~n~~541Q-LqvtxN+IU%=2mT~lUw7o#Ja!$ zU!K8pX1aD?^d$AXIsAj?ZoMv&rO#(WTu~%o;5MZxjm!hx`S@Xg;KavdL(UUmvM}Zp zm{6v)wfezP9lhWAhIsj?*4{Jx3fq5mco1rZ6x=XaU9sC112T{%tEt#qmFgjLtj&RX zOd~T1o`-p)jO%JR7$j7b&ISRFzpC&|qL$fK-b#B;j)z9b7%O=3b*T8Aq1_7%D05MP z6={*r2Z!PH=zCOvyL<0EL17A#xagQrL*;*|AYiX0Uxd|hJ6F1|(jC^*;F`CY+gyTxz)plo#Je8;x7NYj()J8bg%W1N+?DliOqMEnSA zkAyENRck3ZVReoT)Y>W~0YVCu57gW_!fxx?sxZ#~F6e)FwxNEJ-az}=~%ym%*)`d5jUV! zFV(fn@2WCRmQc&diT57-ZINd=xCy$MV)Y`iD>s5RIKPC@MgpS6)L9I zfkK9bP8O2~36}{V(Ue+xn)>YQ5U?u4dZQO~7>$be)O)|BImc{=3`jqAgr;Zy3?)0r zW(MU30?#+4bKVeo?y6H8S*6BthWTV0JS91WBVAm=5s_<)sKoYS_a_0FAYqUcK_!q)xN z{1TCNQe8;8?Bf0KNaRyq%$bC%cF?;`85Q@KG3YQQftkrwh7$DeG{ky+=M-&LeL@oX zpCh8JUc`a?$0T0c7Ic{p2-lLj2KI`d+a16r{#Pl&yI70VEaGR=P1xFzM$hE#oTy%^GH~o%kTnA z%apr=_3-XD!mp6Iy@-GP89}B#c>W<+;}wLY(s8|ph^1!cI&7Hzk1&HT5Ip46VO|3YXPKV7LH{keKXyd z&bwD`_7l_DKRUHysY4R_P<2KgA^ic!A#kxX7LWCEaS$Lt*9ATT-jo*|uWxaz-59{+ zM>hiXoV1o2WvvUZ?=XsXM8*oQ;D@f*gI3`2zeWWH<|jDu%6zlvm)a&*$y99@m%9b{ z_r5^%Ozc*o5$^g#>4f;%2IZ1CBJ>k~G^j>3HxlrcK;+;bz*MWM6-QI6=vW!sk)Jrd z&*jx|<*|KbT3BPHcC_%yecOSqE(p_IEUpD1?+fNajftl1khC#-nZwxORp`8I@0;V& z1pC2Lt)}54lp{aR(YbxP$WB%#ImIdSWdEUY-o6^tSEbq8U!}{e)E|-vdCh)s>k%8? zlEEGPagVnee^qjZPlbUe3?l9orkh-bdt3pW|*a%Jh6VFVj&vu>q!B$^>F}mDV z?d8|wIuH9V-{jF?4&OG0(zOkY4c>AKtJ#iLK{^dvt`GU#eT&K98%uhQkXlIQxt2iQ zIU1CWRrp9L_!J}1W!C*d;wW-Yh`TfhPFU~k0a5F5NIBgqP9%oc{5vXou#~LmvTz{^ zu`RLdgy8~+guA6Y{sgunSS0?s)Z!U628kk36sk(v&)}R2k%2= zY=;!O8!DStbULUrE9I9?3O|oLmmn}2TlrfWj?a6EtuP#^^#g>_i6F!99Ep?&M4}0t zYt>?jqkA+s3=5rBnBGm8it$LV{{@5nN+|EL5mPsWl6<>=5=vu`<&0k*R|@vvI$LO{ zjg|Ayjh*scst>I_E9-7{w@pRN>D1j(1Vi}KV^%U6^ST1r#H<+2XH$Uq;IZwN&!SLM zz*<{VYGYH{c2Q=ofu_k%qoj{+x3D}J9bT9HgmrImt@TUFS1pZ0D70;V*fAb@d7}SA zVdrTfB?5e=#E1YJLFp>#gfr@*Z3@nh%4}8;kkG7e&t=;3s<+=aC2BQ7KH;WT8LN4F zLC>@@e1D3ekG}UNYAKkWCwZO+o0pDw!;j|oK8c+l)O!8jQT67eKm-T=3~-{Iy|pC< zRIObqmH_xcSASW=AhBIyyE(}P+(VI02OwH`yB9^c*wuO7*U^C4KF)?DEW~!Nqi;v1 zI3m0LwK3IDZ(zCLNEKRUV45s-SW$vgK(IIwReujagM7-aOQNj4mg0xWtit_eIpF%j z4`4jYtOrS8T^qCk)hcF5kXy$1`y;mer3!n)i3kw-t!O=eE1Pt-s9 z28*v26417`?HQ7e3#Ry-9DX$5BbMR02d!RHyEahYTCIi6`z%$(y4RLC-G)~Z(5EhJ zvlDLw;9CvR_!;9fq0ncWoHglStw&D()X}J(>17n4(!TiHq2Ls2x4y(Pz_^NS&gKj_ zq*P?qOXcJyS&?mG@#Y>H!wIPLvQ9r{v}&d*-m8uGN%po9t+5~p5HU1n z{gEiDr|YWW_{=yr#PRhWsZuI_n2#-fnKDakn^KM-H_r_jESI(v@WWLO{s#18au5&J z#i5(URbB|pM^QX!T}YpYb;*~dq4K6?HG}|aL6^rN53}gO%*JYNN{?g_YMtzieKvg zY*sN)sxJ2$xSU_+Te*M8zXkDiAt`Q5s2 zgPBFbWRKeTypiOxKP!~bU#(SEG;di*)O-1XS`?s!P+ferZ{feh)IUnD-BT(@bYK!| zLGSu8nn=jWOo=BQnBYjgigCo-9$Ep+0A^A$yxT&eOiwUnBQm@f>Vx%SU7;+{jyy zyevtN&t>S$j!Q#yEmo4y75q#M^IBa)5Hvz^1~agH3Z7K0nH$61yT9edbfYRSRB)j-Xj+RFl$uQwF zB`DJUf`cZxY&kwRFw}z0tbOC9%OzW9LQ-s}$PD>`J9~ySL6un=KwWQ%Ri&a%lbZ>c zGLR3XKF}<**__jFG{`H@?H`0!O>AhGP1RA6$zZe~H_V-yCH!63YK1Xo+Y_n`qB$5J zi>vR=j4Yzogy3fX^YeNXxh4x}eP?ywQrR_fKu9;YK~Jf^pUDiByr7N`NZ8f!CL&7B zA;P%6lNr4sTp3&KyrYK^)qz|r`E8HbPlUQ#!Q=C;6hThgLCMxYDgOP_{ylU#mv&?a?`mR8lMdbMqtKj@H6*j1IcgG|toQGBjhtTaW@t%Vt&&Pj~e6lVji) zp`XUtM$zc6L5`^yk~%B|BjE(0-#Ka&8}%qnkKO39ITT*EyDT5ngvl#$--C(jYkYK= zgBdm7|aeQG}MOTl+(e_REA;pbG zub?5a8ro3FJu`3Bzy&Y8i@*sg76I)%Qhxp3s z^BGXQ1deBwa$Sn~H&KCngXbasSO!bt`1Law)E$(ShiUNQ0;prnwSt@@Kcp_t#9;v3 zHL6X&o6kUv=nqPZOyjq!WCRus@p(dZ%QbwB>Y*YS@FKU z<7G{{DF~@IpviKkFYf)`#NmE5fXq4J0Vf-y?^x+|x&wc$weg%cT$GPqdysm6H**WN zpiHI$t)ximFbuO}5l}X&?dPo=G0D9E8!)R(;*kdaAT@@0*0S2}VkHz#_i2n8L}h=8 z3lm0Zz0XDRmrP+7JPBf(Y$?s?kYWx|f!_Ho*#x!x+5^fR!)R5jfbI*!CrM0LBzr?% z?xyepqEOqe)2o9$lUjnCQV_Fi0CNHw%df{)x>JiX8>?l!e0tREk!|f*vV}?oW=i#k z&`QrK?d+)u>H@=511TeSa(6Zh;~EzVyfaR>Lm?blvESW5LQa9oX@XizjEH$-R!!Ez z@vlll{^mPR@a!9PWDET%R!pMHS1Y7bFVhxQVqdo4`^KX1O&~~epQv8IoG;-}xIM9+ohP6s>UBGle$eFFs z+Zh7o8xzTo8f7`BVDo8@TX8*#aRz3d@UBl@V7EXbx!akGFde9)vi^S}ihFcfxTr`g zE?>eZ6uQ>bbN2Mbl}XA>7Rwd2JAVS#j_rLJjlM1=GyWM|g#UJNGOsR!f30km=K|KN zNUI8B^ZjT&!48N<8un(wGiDxaS$kkh_Qdobv#a2mO6Wa1pOkSpV5yljWXyEyX*h$2 zlFBE_(6F~C0TZVd#OrWmAPJNn!#qW-ot&QhFyXL_#BDi2WrAX&Q%r7&)wbrR_9Td1 z*Jmlp@0lr;sUVNUovIiK`yJuhswOcRDG<%5n-2xU!ATBLSV&%=!S;@llE{eU5FLoj zfIHu~dhsNBi+x;VC2_d;UGz!?v_GVv{IxdfmZ`uS{H7V&uX{a zK6*$k|26oT64D0Nr7)wL3O?wrnEg~mF61-W;C45r6qT$&z zUFwUoo)Z6@b@bfR*2%XpWfQNl*J;PmPT9B-sP>|zQ(1;8U=|&&rtiwSqe;+?$aO=O z#^|pqkf_jiyJR>LxDrHvlrO@_F1+jXS-0q-jNNbRrM9S^3*7(Y( zLf?o-Dm$Ob-;(|d3Dunj^C1@@agjW`-Vzp1b=Xk#WoP2`tnrBS@v%Le?E6Ly;n~{E zq4f*43XA)ENI&Z;Kj-enP&vg;zFW2ps7iO0C0IZ*Z(Q@$M;efh?eG_#pFg0jLct>O zOgN=`UOq6T>ENZ<($WDW=bXb;c?eioe`;G?7?CIC!1}aOT@5yWSMoBgT+QW5BNYEB zsxFpu9_2lF=}t63!r_5yiCd%8ITjk68sgXj90_|;%BL}SuJ+dhos2_}Vx4_ciE^E9 zJB25ycj6+N>F;@A>tU`D3yA#*>fFR8ExB)57MSI`-46NYl@n_TwX&Q`Rh7Jp95syfXsPSM&+rw=LZIWls;%I~HP zSG1&tZhj$S=RWd3!#4DQdZD@+Jt|*qc6~eQWxhF|=j9Y9)njnHetd1QDx^KETn)M5f5r_x z$eiyYn)LMb1j!zun1@*Wx3m+;H4!N#b|V_~d^BLIAy}MGa)xPt4uSAuxrY5uHAsKj z+E3z+cq*w#M@)PRxp}{yeB4&hc?0MPvb!*3tM?+-OjjnOmc0k77jzA{tpYvCU1PrK zc%S{Q*Y26#JnkN5GRI8d&?N^YS2cE3hSAa*ySsQ*n7Rva_xy`8LFZozq8bnk93#}r zo!uCoJ)mD$cpreXV?cYy-LR-iluA@h9_q=~c?!G6GSqUHips+jmpshn2_TR+$U^~- z0QK%^)_Vfd1-7!)Itpz$WE0a)Q8pKk z(KkFDhvf(pP%yQahw2KES0CUR1nCYJHr*L^|BC^irH@y9@y~`1b828u?_KH>Wx5?L z5&t-qmafed+{C}^(?`yJszB3SrMK^#eHIy01mvd2>&`8BlG67O^!%We3b$RK0QJ`3 z_UtB6M=(3-DWGI9fR0IBf7hryjGU>PLiT_6;{MYu17_lbW5HzSyheHdAV}9n_430r zv{(UM5eE!8a6~)q7%hlYsP4I+pvJw4mP;8UuzUy+4KUq0uOuxAL?oDwNQgQMB6P~A zgte-*0FDQqlg)?vVDHjWtR>D{d8T+S>A6$uWs^Fl&=qO%t%yn))Ztx`B#O%ljtAr%WpFE^~ikeptwM#r$3jgwbVRo{W}tEk>}%W=!oy%X!-^&>`%E{AtyWZgfa1XEJ5?tMNs1c{(S$aJn;ga@a7p` zeFasrlR&5RYJZ*0fTX_Jvg2;PS0{($%t>7Jdy&k8ZCgay00Jk>6HAr0WU-)_F*G@DK^8JD0 zfQIP{7|@-xAChh$#N=dkRw%4wT(8O*Eh}U#+%!O@$yu*o?zOP!sWMq6J1KZ6;Xl4w z!`&*6RiL+bx#72I*7%QF&+!;`aC415d``ar=bxkv>xF)*>=|h1Q|lR6b>)O1-dMZP z&xqTMo4VMetrm-DaxvF`HVY^c9UY7zlZ^yT7bIwfAnmTx7UN|@Pq|59^!_NLQSyu& z8Wu~4X6OaJPya;9nd?4imM0w{0Ow^Uaj_zQzs3N;w@Z#?huKG>WpS!sO8_;9xtmMg z|Js-q2EQ_pWanZ8gT?rg(G^UvD)$9=;_e6O_zm`TGgDS!Wj+2(%&w)JY>?}C5@s7n z#8t|3|Bmc_t*gn`zpJvdccy&1)VLa7OZ!sTXTSJRlz#an_`SM4fC4(0u}qXmRbf!P zy4wkV$4+*jS!FJEgSLNj3``sc9WAWAs4}1RAnPLYfvN6JwKhg4K?6K2Zym-vEPhTC z=m|u-Us!$oY@nRa0Gyl_C)6o7Q48^dg#C!gOi3Uk=^Ye#!1Nd{HfFtzY#reeH4Ri? zag(nQOEfA^+w#>22TmKJY}?~0kKdVq<)I|@IJ)(omDizLSNHjrMY{{KmGz%P4Wv#+ zRxvq?Ow2p;4O-(=BCo9JWY9SV(m0g*bc7p4ko4D>!cVp~wzA2D#w9fTiI z@3KXvrPOIsOf~uF>auOk3om3^5|cxjo1zP%bRL4|HC}ihdA;966)es-#apIN5s2Fr z+X~1OD0I~-IVLJW#YE$RK6h}!2pwD<-9sZ^E5aPL0>7yy3rzy+0Tj<~SDnCPHSphC zGl`i_p>yfT^--MYQHITqrM%J0;oUT=rS;|0XF^T_h;NKTp=-;?Hg+0NFBLz6SiT2U zp=fhGcoe-c2xTUzlVk|%rP?<`bfz*6%SK+q^;_Swf8{8H#SadbiywHSgAHqzS)(=H zRQNO?5GXw^N#p97*(=SAa=md$340S(s;EZ6!sDXlZ?yN4)$_+oq#-XgN;RN3sFFjAM zgGP!LZaP2OGnL}Xp*A=74eU2ZC37NOLzsG_98RRWDswmN&%UfrHg&8#d6u3Un?f0i zGlt^2#7I4XOyDlokq`dSz4m$tvlS7Z-1i=;&Y@}!g5Gs_69oa{dzrvq@+%I|N2PF2 ztb}|2r^U7)HQA*k@ArV$0|vRdp}eLz4(74N&D8M4xWF>Gg^=b*3L!^%f#)osdja8= zpmmGPw`?Q~C}#*-*ze5_r@l}?=~Vu2Ep_9LLwz@ii+CW1?e0pHhI*WS)i%t4)aV&( z5|?E!dOW^QB6C~&JX;NaZQc}qL&7{dh%2>({VL;Nat3AlyR9WIpa(g_9nvY8> zK}0QuQ&oTAdz-I?x{OGFq`~=qw*W}bR>2<{WJeUaqpoDL5xvdHtVP>c$m8Ac`h%)*J&q`E=?(Olszl6OI(es2U$A*)RQQe>YnG@ z2e3`3LdV=R_h?h2H{Qp|Ej(U=X1wtab!RB@!B;v0mPwo@hy%7j@kaRo=i*|Uppc7` zhSq86q`W&URn|>H%Y}&1EBrnx&Z+O)rD;fbH+-Zi)d{!#i?l82YOD7@yx-ZdWLF_Y zbH3%TWpdtjT z-acG`y$FI6oBWt;s^K>qBsmw5X~xn~&4^5@AO~c0r7|8J*~)8n>4&hA=0ogXfLSiH zbYw|l=2>S+GT*dkbIT7!3yPCH*h+O>N`4kYU(g&!XF-awk0e9TXe5v=9*cP28sE2Q zOkU7j$sXWzd=EC!5A}|CoMOj=uxr=n5P^GOO4k(h2dr0ktQ>j1QmX|tb*EO^#UD6* z%Cx}$%UAz@7a#lws{eN(3E}$yQJF9$@x>AyG z1iHfR?(7oG0|3Mf!Z5HwF6AL16450AApwh|gt&`4q?8bQ6?eUNzIT89t8cZMSM26@ zKi9smd}p3;#JO#F z)`3_$0IC=$)^W2H;Z6^az#82Hh}%BakOqu~q4p6G5f9&U;SwCdx&>_n6av5?ZUNlH zt}TF_fX)YP2n;&r`K1~nxCajCinh1)^z?KH%-!iSvU^FW!3Us$+yTymb_VV8473O8 z0|B!L%EJ^?HXc~Q_z>M>4snd+Z#Vv!>fZKTY%6GuK?BKzaRpg zb^ovHL5BbU1&s)K32=?{c_}C5~_6YU?l!$#ic!2k- zx4Tr%AiXw*isbpd`@Og69~D{YX@%6E`H{c4$*G|pKtCTL069HCf}px@A^^e>qWyf; z7Qux6E`ZWDNey-Q=XaE}j$Y9j_d7~@_5bHsJw0=oDFcg4I0zRHU z^Qu3&k3Yt5_0+%Erc z6@V=vo}54KDj;ye5CY&<@r2Ce@O+g3sc>~Q{+k0bVXQdV*Zlp0v) z@NX||1Wkc`|51d`CP$GT{96dUU&z31M5ExpzA=3^48n5%*Fu2Sz>VKU-1-0lfa6oJ z$3Zb2-XSD__Xh$HE9lqXSsMU$bQCc05daDZzAyY>FMOmTn#SU16QSg?~1)Q=+& zD8LTfzhM+W2kt*xB8wr|A9!TNp`Z4T___apzHNlsKQfe}8~=^|d~k+!Y@7dj+d!KU zp?%emH=R^zg)c@s8ENADQXF4W(w#dNfRJ}<8O%D9YSNQ=%U|Uj+oHw)9d4M*YOYnU zMKA6BtXf-M`MlF}SfaMySk@w!-_j?LD}B>do|i*lB|gS1nplcRZ+9iOR2oBUHI&%g zbiZIgerH;9nJe{VMC?&PRfe@%_*qr^W!K6{ks5XMS3%o1-7f7Ra1fi%>AK26XhyR} zORde6s3ZTm#O7YBigs*sFR;rmi|*h(39T@D9KB0&q?5B$APf4#g<9elHp_CS>LEF*jk18y|iI-tg8k-UMTsCwY;PTLe}{+Bb9J zHWF^?flR-c{?fRsa>LOaV8UD5e{586X09PR?Iv~ zSaqs`oOh~GOPO2}pHF4tDYUjTR@wwSE1|NFXkYddkvRuP9oy4K0EqHE12FtkYl-<+ zuTc)93W%MouK1M_#3YhKkwu#2{g0Y*&z0gLtrjJ1lGD1&ve^fl;kl4M#((2J8#SL> zngB}vbM;Ul^5}$%s=n<|2p2zFTW4_cZ|FMcDN$hk4)t0qHU8scHj$)Zj}TrF`%Yt7 zO)PE6%B71O2Fr@Gxu$dq69^c8Y4z|jd6`+iR>Vu|?)^u>qz&>ub%-`7wI>t*L=~17 zM-9Vzeq$yYUxSH%3U~$MKw)fi<~;ArW}m=4A`k&HgVl=?(Gqa%g4r*Yzso9elRP^p(gp)9qR2ypAMa^$wr7#)a5}w z!R=gYj4VhEqHsta;?ZM+o{J6Zq^}R;C&@)3ot?LH__*Pq%y?p_bvjjo6R)E&VP(`3 zE-r}^zIT|;5-+nieFT9Gn$kg#YqwEj4ju&=q_j&>dxDQ@D~BY7BevTq6g0l$C(Tjn zDOPzHl|IEz90$yV?ri@IVN2?Psr+#woCvmh{}jjmm^q^JIKFEc>{ei^KqGhfl(@%c zyaaO-y)UoOwI+qXxazy3uH3o>ybRXA zK&CHW4ol}uh&s!PBX5&&Rr(gG__G%g51OWAjdVVUMp1A_o~=X;AFD&lotUc<(pn=M zkBB}5VDHc&agPQ)#xjw4(cxr+if&JA=<|*L7Nrq|q~mbH?*k@z!lK<_e8s?p)Y09u zTl2`IFxU@?4lyoH zaNXepE`k@K|dGvvJ`_cv&fY3%)69ma|7x7K2Q1W6dV_f>cR0_t;bV4gn^+DJI zJS8gX$xLdrANpzZsaVt?Ttf{y7jgD3@A9F3g<)Ec6L=Hi1A zj?A9Anf(V>0DG}@Ww`{yYFh&zoY#@Bp=-ijf?i`9aqXz{PGp$f{;tUD>I=ywy_Zbl zuw|d3^VxSzR}mTwQPjTT&KUxO(es=@Ue$k6%<2A`kEQ(CIF||rcOil1>1{fTKW_E1 zOD#Oh_|n-evXcScWVlGvsPp9QIHy$o{O!_Ln5D2$ech0R#M!r=^Ke=x+#9_Nt0YM= zN?u&jgk185Da)$jQqA9SRn=CP%^8ZX1si(?U*x}vIJ-5LKQ;Sy#m7*X%+5P@(IHpQ znxo2#h;)rv4<@;q4_k^FzO&N3p$HEka1Ndej1dXX^VTsPGI!V!#Hgi?5~@EJnT;f# zwsakHrXnbj`VVQwH*}>aqyBV#ttNvYeOVArVM72B_m_6>1FtAv64k1YLdfM%jTk4= zYwQQ35~kv@{c!W+8rcer)k11=vvczdx5cY@jeDF8HGgbcuQq4|P4=X0v9xM$$9yv{EG;Ng~X3xK!N z9;+fO17;GD<;{M{h9d81!>iY%9dJMzI{v$XOou{JlrPP)2<_1PA{|AK5@th3^zr&< z!Ab?{#a?Qk{oTmMrR)22TT9_!E8I@_WdNfHfa0kPGw@hDN|t}+1?#xB4*MEmi@Vo3 zGwC1%!4-~G53NS4w@9`z-fs{4lyb;T*I|r^ORMx#!=pMIRoPw{Xg(fqdk*A36HKW~ z4?oGaiolBPn-NiC$vE=>A+sK1rDeWM^xDnv2rl&IBqII@{3S=!2ak1V&b*8JzMPAS zIzC0U**^BcZL&F6!JTXXH`_ZHY-J@IdGOS~fE)6o;D1{UM5RV^q&*`@`Q#(3 z*(tnkxFc+xhxz4X?(z)zM$8U-aJrrN#`%OWab=V+Fl6@Z2U35F!KpY33=?=Gs_$lA z^AnqYiJ|Mj#?RLA&zO(jw}Ke<&l!^xwupeSt7Qsca5#LfrbW_uK1XSZnr-bfW0C&o znmz|xiPm`SF88-E+oVZ^w-{78-kLPz_CJ+{T>HtJ;tC%kjCF(IZSL4J(L>Abz&dfN zPmVklZC|c9s_ECIhw$GWielj3AJji*sJ*@qn9Ig((waVoNYNET{A8Ze#Dxz)F|nsd zlx?OJUzZ-nr#F1T@x>JCo@+#Hv0lO+=I=MjO6m|6-$Yo8InY)ZNY7&GC2GhpaCxNZ z7H>?4W~8-c<(f-8@}Lk8Nb>W&6_E^+4yVvaX5H?3okqNByZ0@*H&lCtiZHZ9CLWYk zM%rc;ETR-u@qR3fOkL_YpCU;h(mb=f%O2&K`lb<;IJM{c2pta$ay=vHPQ z#tZO^s0v~sGJ{8NVObXV7Y&OoPKr<&M$@aU;x|$@bDAp8u&R|q*aMF{XD8CrOY;4p z*$O*)d!urC?yEgftp7znj(fOTE+rWg3(706T~|buW%Q{MeyX zOP)AUM~=JZ*>z+!YhK~R2Mz`F|Af(wvNLwS=XP=`hKP7_&AI_T)De^}VR45sbMBsZbk`xsGO!y8v&E~fdS zzt(%GsL6(7>k%}4%?1X?rv}0Ks3>P>wlu?mOP8%xHOJ{>Z3l+&8`r^nhZ^rX{z)dy zFtGvem9UwYfFh{RtEXx?TRI*1-@0Z9!c*%TWl~;N@E`Abxexj#d%$%njSBgm_-ylC zjG3>IcEn{8Ozx_nXW)g-opKqKC1G&O^S)`^kVScT*?Jje#fBJM`hihoHY;9UZANUY zdudfd9DUf_R#W-EAguRjnPLq$Bb1R*Wyo#j~1`1UL@kK!%(gFymW=fa1= zFW5CSR%L4wd7{-Xe}S1xo%ZkEV{&@gLqUvo*rj!n9h{a9NX=v#|no&=J}{d10?I~q#nkzdZHsFm@3 zBH4_eXeW5X9&Nt@YBcPCsNn> zI(Pv@hlT0(Ey+6-(*ZA@1Nmr^1I)2!>%s^= z$^hzaRE;2t0&^4cu`pV!XhXRM-+O$R?|mxR8lN2c6{1#^&eR}CMmKlfDc4J96Z%Q# zkkoTDA~g(7=D5E;=;%V%v9YSvOr7qRx;vc`j%_|80(u`qy1EIUM|#d4WA$pBD{n$= z3_T$tiJWAu1>A!j5Qw)cVB{)OfUmNoiJXMZ1EtTd6m$mcAeF&VH%E+3z!b4nH|oYn zQ{2|mM2N(93h})aS_J+^IzDVoB?m*j$Si!OjZ<@Bv7|{Q{@IPQniSd%b0=gd?E&<2 zLb$2DB*YVdmy*BsB`%ucX!@~!H@nE*dJP2zWi@+@q^pl|d{;~s0P@uRzb z$FyaHoF{MmN2(iwm^*qk^sV&#uHL`@5RoCAoNzYnoNMVD2@;HRbQ zMZA9iUFz3g1^Q>TP`KHeL}U|S6O5NM$7zFlt_TsR_2e&hx7S2_r3Wc%?*Pla_IKch z?qt*P#`Dl?ja|AhkHg?1`c*ZD_^X)4>yPckt&V?(d{Z?VGyIggFpBFOt_mu%R1M7n zB8=zNkE?yoEPJyX(xI4>>uN#*Ux|PC+MD86pksAK=jU0U7zrumJv|3`hx)T?M0v0y)dZdCadfpo_ptJ~sawo66-P$; z5}Xt4kG;1-ywNqw(`B6>xo0YC7T1Se^J8U>bgZ9q}(j%1e$aJEaaLlCs zX7sJvTOtIk{H<$q$+!{qmlL`{h+*W57KfcqO=^g=0>QS?5ze+}Hgq!u0dqD{RAuSk zS2fZ%`A7CMXooK=VBqQ>07qC8I2=w)+_qRyJd*Lx6^PwOQ{C#Q5C-B@^c)pMah_8< z4lOze);#TFX$VhnFFThN`>>aTS)+H#bMPxA@$N=Y*Z^!IO(tHT1s)Ws+0FF+k)D>k zDBG*xh!K(rwkKdPaEG>!7BX)`Cl@pUwr4y-`&a|wEhxO$AR1WlQq{?6+I0o92?aOV zaDy5sK|}Wkl=zXXGG9343m-&jAIn>*uofS|XK(f=`>43c6l)2)sx6xIPNRiY?T-72 z&drc=U#s+K$Afn*cf?Dnj^b#l^7h6rxo*Nj(WC09)xL%d-4}WJ;U(XC0E-^$%tw70m!$LY2a@xZH-M{= z?d(sakpgh*4EsL~t%x_567~UA=p?v{#=PTv8?B3l>X1E<-9-u|qe+Oh>;{N;oJIot|7wn=cBx3o@2R$6y^xn! zBN^`HG&VMahW))ytscR!AJP5yuXzCIpR%3d7TuEEMzmYP?>e1F2>~YeJ{xVCXo&7g z#}#HKpySg>85*e@;f8<%PT$L!<4z3TigX?Z6#tqHDv$~`t3%irovKkZuTc(wWc7C8><9IWH zG7<<%(Bd0qZ$-^OD1ybNBKB}}3r78^)!@*q4oD=V6k%r-T-Jpq``eFjzmDWgsA7*55B z`lXB2`;{;Uj{H zcpNunyjsv1yH1U@kUL`wd=SJr`J{I+|2hoZtHj=&72v0<9NkJFvhecqmC&m@-hGw( zUFN^K1bF@ey9=D)j%iA=%ZgFGoe^bet)e&Tw z7?S0jA~I4;(2!~7HO=YAIH<|vP_^%Q=^Y(f*x#p7H^CuE=9I=xF4P8ld<@TC zzYQ1pp`$5j_`7$(F291jCXmPGHDkK`Q$mbFZr;opr_jwdzqV>;wLx};$d1e_MLa+i zLt0}vOX3X`bRp6Hqb#&G1?$I+XO{D;T22sei^+anvngw34n?dDCqRxL0*yMVAwALE)>TN4iZT<4 z34twvvaxbp&_)-bZA#%2w7ze}37Yu`^xARB=tpXNIP< z5^+4MeksE}4UnYCJJsl*B>dP|{Cc?xtR+#y8qt@?;QVsQT#vQot>TI{|N6)jEo%rRf7J1 zEALE9O#fd0kL!P+yf=X>WUXV+MWJrt|NfT}dvg=FHzz3k?+I)bs6VLF+rd2*EX+Vi z*x^@tIuFb1xBs%YsOn>N^YK5$eIqPFMm0!sYHJ6L($@ZTU}$7&0x?cODd7;fuEB}1 zv7v!PNzw9;PG4WIg$T86ULwobPRx%!0*ag2!qD-u{P+$6;VleAog>g%+uOPa zKvNU=s;bK8$Fa%%08%2OEpQ50Y6{5Hna;@ z%0C!%$R<#ZkOh?|AmMK$`rOO22n#Bs;NT7%n9KcVEn3qbHF|o4Pg>f4^P3`XnVEW# zOBry90&I(AgL82L%>eb|fKyE=xKXb z`;s-CC5S*jGc`kacZ;FvSL)eqO2y+0?X9hymmSG+aQjXwBq!LoYW-^R=G?&U_HyI4 z;|~lQm)$;mOFpHGuhDcR7*iw2HQuYEM>XWnDV+x!5Sg4B7Ll!tlKm-P zyJi5M`)&(#&NvV80coOGqX+IQox>l)xsUyU+{cVzX^tHyg9`_C&C5vNvtjBX981Y;&{zOSqu{RD<>#TtBwy6W6I1ht9vZ zu9oF}^q39tO#iMK>C#{57f|GM@1C_`i@)&8s!vPJkB0v9jL|CtAY=WFVC>uK836jd z8lBnB&D9-q6f5e9Kk9!+F#8MX4475;pDB?86{@}l_PnhcnZ(I_BNHu{Pr7&6)I5Wh z)#s3zkj=U&xhy`rxk7=wdtsK`)?&Mw_QvDmd~+fB)sD|Hh~g9;wfxClT4@n5oQga4 zMtZA1bQEbphvdm!eqjF=nGHdxB3UrsOBkM}jbNdW|2DVuOh?hKY@90bI2Ptc>F!%j zHLf&7cCyI7uI6sZhQG3P*fCN%zTOfIyYqKGRz~?-qK0tIH7xB+FS>_|mAfluUVZ@; zpYj%?$z2Zn(4$$Rc!zgWiEfGBFmIZ?5h}B_`x4?yUEy(I|t)#x#eLmSn;W&LP^Ds8kH$xU=?0-O*=wt+)!u43** zLOMk+!(-%4qs+S&i?=#jvYF@Sjpibrd{KYuF9D^`d9xamG$~F4F{3G3mn^E^wEB{k z?bUIZGiRV~G_VA@)HW?%EL13ffr7l0^NlS+DD?aT%R(h7>wvTJT?>fW*#jEO7pAZ7 zXNIeZPOzjc34ud)txPcU`P(LY{*lXZc3%eDsIv!tTJ-M&-d-K0v_bWs>s6Hu99d>n z`+P&V1rH1|728gv{Hy|Rqw074%B3GFmH9S^ny-D^nHSE`i|Wnjk}XTH=_qM z_Qxm5-s}x(Ody$#JNc1;#{xD8W(2TvB`mOze&G?%Bhb@%Q2FcRZ|Qe2#BQ*#1pITC zz_FOm$Cy#l5W?}7;8Z=1f*1EoGZ!;lP97Wui3dPzfb8 z*ID}`zhpMsX_`r!ZFIe={q>HKr;9U8s-kEsL1Xwd46}1l9i@4Ao9mvx(R=bqGhhBM z16Tpids=-;Xh5o@5!DP06gK~-?@MfD9IlCxb0r77V7m&`FFFZ#dYS_!2s-0q_<^v6 zNRR&3n4QVaAa~%@;rhT*+H&NfG)~5QqBSZQMETLKube{h$)n03EzemfxO8Ev%FpC% zqVKocdQrk(ObtF_HsD|!Ng8UHbh0RNGYVJL4M;2i*R2s;v6XRs>WjIvs>MgMWo`rk z-jtb64!iRJk}-!YzOCjhMZ&K<^ho=B+$VCeo;cS+DrWb5 zDO=#^2Qq$mo^;*u_*x|gu7E*GMIJZr0V^+qn4`UWeik0~mNPmr#QXYeTr)uO-bn zMrsPHk#Fl?;llekFC@jy?i6p%8QJeg14d3Fy~K6nhi%^bgr{$^62CeSs1zwWofsCp zBI#~m`@DHHVzP%|XB2>6*!3r1jd(xx;6yB-@x*oT z2DyyG!8NWS5J^g&3DcrkA-@8b3sMp5U-K7FF}4O_+36T9oRyjhTw2s(^CLFb$ob@I zu5YfG>GNE}V5&%%M69NUR;gQ@7X4eYg${F_sXIpx+->gL9GE>xD=7hts4o+fC5o~p z4lLR~Fv;NkNqpI-&_Q(m3Ierlt3LdZP}#50hY52;1(UIou+%VJy-{fz2QvA)n8&f-Yd{-9jx+UJ9r~COJvshPS&|d`U~7iwuxZejgM>R*#6ZbV+h49%!76r z*o7+P)u0cuQf#JGU1DOET@9+=E5>XSd2bVQ;$=;lhPu!r5*SidoJtGMxSw)IRQ#4T z<9^h{_1z4aLc0T`?LM-SqU|fvTbH z+QKqQoCnkYIq+nuL1}b%|9%M1-&*m^?X?jAi+CdFpM4@uI#an7=r zuKXcFjEvVm5~0dqm)9Q+r}xX37#GiesX)o=1~gpklR})LRoYwcDeK6@#T-|Rd&fs+p*??I^C$?yo#d~X2FNkz_qs1%uLQL-5Lh$-egocX z?LrR&L)(|}bzOCtZnw>AI!j_@{7+^f4N6O_#-mcD`exiij|n_GCPF-s+xXygu#PoS zlFZF$km?@PcVCz&?We+2%4+e(}5P$)n`DS=g3 zAK7!d4csg2U~Hb}2oy?_M3wegAA)Dk&MVhTVya-17D)%8=r&S<}mS(aW z@&_t~&-6$6WL-g(x8@x5O^8KTA9u(_3&-qS{({pznqXip1*8x&at3(WtMQGDxW5u> z@IuqV%^=4H+Y{l#zeb@lfZkqu5i!1eSzI*w=113Z<`{Y*Fq~Sxy01@Qu1b7)A$FfE zR}XL5>sHEmQ0XLzTjM>>7?>+W2EkCx6ZIB@8BXea+vJ8 z9h7Ebcp6^FK1kf>!Gig~H^xdUu7cT%`+l{Pg1*|2H7oH{ogkurt|y(@K+LA@&XwiE%Z3*Xt@mx&Q{w=@>iP^*MqIX#B+U8n6&L_89>N zWwsU?JhKb9i*j*?Ggezq#8AYo)cbF zvWzYB+bE^agdZSsGLzy|uscV}-gYFUJb%~?1eZNb&JFZwLDo(zOnzj<;a1kp;2yJf zjSK3an)~`WUsX5tOH)hgm(F-}N)M}i>xAU@0Bq-XEvWUEtp#nj%V&Y5}yct61w%Mnx|r9J{zFpq_V4H&#~_QEX+bBW4mD=lx3=~OFLks}B@hq&(? z@g5u=;U+OV`jii^%<+*lQfoYGJju9mm`(}RJ+;cvDP^SS%IAJ5QicD)twKjA5KqwJ zv;5FG)B}YyAEHbeL#v3njOVLmlT4zw8@n55kBEOtoIY|_(0}T_+=wAd$5RmlGdAD& zE!_KVCPRbN3sX1UHhV)`nWWyh z8F}~X%HZD7fZv^ZZ&v}&HF;N;0mt>xSTt_}Yh|I|&f37>0l_`0r;ySXsj;Av4~4X9 zL4PQcd~KB>Pfka6*}=NgvxHblLYXIGqXhU06R&tV#H|0$4jc>MlaqA#WxSD3M)5@yA>C9Vo1sT`Qy?i>6reNHcy zOPv_gNu4SJ{6qWCXz7V)r2-|BBh!p;t}6v@kpf9bdErhNhq#OU-UMVV+e<@OXkn=z|`(;k8>2%?QPNUH9} zUwEwQ^>>)?f7cbK`y!k%3Z&ZnrY4PB`zY|6JT9qYa7A4B7IWKma#-C^pxI0NlLElF zp6-$UEQCRijZt4v-6(I?x4lhIDb6t#AKN(>(y0T32JU`DKsSOw6L7wdj+iM1;M@@VkX= zV(`1G+ zUx^r>1|8B;!LcJ97rv@~9|x6)HIBz1t0J6kZocD%F3n-%*$WsLv05DfGqbXfzggdT z^2HP|B3$^0bUBCe(bIJHbO3*4BT5P4-)!%v ziM6hz@G)DGT6Z1tuhqF8O5LQ6tJyWn@sD5|p(xyk?$lyr>emZ+bajG^NN#Ek0b`j* zeU!oj{f9!gV~{9V#QiFwW-hmfj3*lgN*yY#LbT}BOjW|j;fdhdz|U|}R3mnViNY+8 zQrY4O)V5QAExQ?YOe@ooqEMH}@REyDrTE{1zv%5uqTww~zsYX7xbQQ-@OQgi@wbgt z*^DGLsQ587$=qeF_~30XXwi_OErC?z>1l6IMT*4|GMyHwM|%Jn*2+P4;Vn?*XXR}Z z^{`m!uLz%o(j!f%*K~Hjr_;b;yi5F>M2L_xx9UaIc@*FY0724D`YT9hy5slBBh@!; zi`ec20;r-!&WJuVN~kR@ZEB;G-;!nPkHYtRE_oj4&A`?>AJHt-=Rhj;u6SU!vwoJI zD0-+o%lp`uf=Dbvf9id^Tb+>Lw&8*Aww6&U&w1>05;&*Xce<%Gp|TCEBskO082JeH zdK^NS;E|*MUg{zBZ14z(0qB=$M^o|qy7=I)(b{9o1WQp+@~VQJs)c{=U;_^+Pm5|AbWG*O)U>) z)P`ie`Z0R^zNdVJ4sb-h6cow|HY0~q(p3(eSC$!ObSVQ>Ls#p=5BHv85BFkrlKZVN zx9DDWQBRU&Yi_Or4=JJ+#`;cP7NCsaWRZ4YCyDDR9cr zJgwzFIpM)S1WiG(U-Xc|`4ZaEfJdo3Y!6NcV_ZX+(}1ztg2Y73p$@dArt}9L_an`-5P1a)}iFj^*Q1#PiD{aXfc- zn%~m&(Baufg)l7ZIAO`B=Qmh!aVH9Qd`Mt1cJ(ZH<(KRIGA%Eu8@H0nTYODJ*-0NT z70GpsF&)h;3x%8KnPj+#xGvo`dFr2&?XOT}ikPH3Fbi8cHLzPqqs2u}C7+!w;k}k2 zrSoHdedsl6?iZ0BB~LtL+!_q4+-T( zTWzh%1~w5@g+3nqTcr0uWS4T=eGK2?c#X-GY=a!5Zc1Rb-y<2LGi0~8nRVo9&Lw|$ zm#Eb3X^ViXThqyUV+}hn3JL2g%R*!_kdAb;GcAiUm6KSv)_XZP|E)TK7g-y)E9rn^ z0R+B6f#G4hClgVwo0qS6KOdM^9cs%y0M2@SW4amTuz!U~Wo5rGFBovXsIF*KGp0fo zwC}*SMYH#&H8LK7=c**76_3I#jF0|e7|!^~Y?ZccJ0_7=j`v;nkeIBS8n$%jp~!U) z&xnZgQWB<S6X0T8x*2TS^Z|Up)bQkYg+!#GRjAUIh`#3!MBVD z@@*j_vdS7yQWz8JIN+)Acw^*EL$TI0O=i^d<@~sFBW>yCjg{a2TA!WoYD9*kPXIjX!eqpsi9MMd0vRK|qB?P1zA&F+0v56JF_)NI(_=cq6ZYmP|M+nSkIBFaA@Vqmpsb+#iK<|gX}tU>-M z;ZsxsZmBWw(cm@t6PIy@6r?%4Y8%Ko!@u$Slxj&g$ND;N zfF7e)zZ@<5A36(t5yxvyz>I38m#epMGS zXrm?RS9LNLMvC{9vL~q7ye;1FWfhQF3n$&r_Agd8(DHOK#B9bLEW%Wfw%_a!H=$vE zAXuL0y(X?PF)YfOH|`Kr;a%LVjrwlZmH(4!K&5k*>^v*X#@mavC+`F;%aXG{q*Sx3%kuL0bG zflb~}`#nQAsa5u7##=}h&{CsR;A^rpTQ^}?5N<84Xnx^C_Od0Py5Io#vl^b5L7N8g ze++jUUc<0|{rPL)q??t@p)Muk%j78MGPtN3#n)iO^H|Mu3| zZiXuB6mkOBvQgQYOrabHri!tE5f)qe)BKfczVxK6fjejlU2*y+^IE?A7I>)t3;6rv z!jB3o0d57=B#}yp1I6u0M6U!qCuY#41Qzy5*ke-cHv!34Rfx1CZN-phXeiZm_>A0P zpJ6=|NFVbWSWh-kJzGR=B1Uzk?VRl-@KxAe^q8oq#w-&gOhI53F$M7=GBP)Ig2yii zby3>4eWTwJNye{ww6CYFPwkVY@4vZFAltO~5s?UFyvf$fE`n1wrMrim`8B%6g&6}n zUCiW|bERaF>d8SzcZz$)inFr(EHXA~D&c*7NRA&Ci^76Qg#+7ThU`8Kv=-%{KKY zjA1hV8AJZ0L00#j+@@GzzCgwKxgO1Lu@Cb8&8Ou5)eS2F%Y(4yU6kO+FSK8Ko(kxz zSwQ-Gk*AzfUhHOjx&aA#&{=u;*onyV|?18aX)YJ8|&;&O3(IFtayqq67Qt2&|&UX0;s?x*&+B`(up=0 ziW_q-3I=^JyFx!>N028C-;sy@E22d9xVLSdW>>M_pFKyUFr_qB8&%7W90HyKF~63?IOn?ZZ4P^{)rA{Eu&!oSZoc;c7TlQ@8Z zk%r~HwFhF}_CSt2@oUj@2y5Cs%6boRY=Wi}MspFf@zrO5lAoDVnz7osJ%;CX?eW;4 zzs!+;+2bVV+}?LR8I(daSd3% z^AQ&M6FN)I^}AJXjyW=4HV*x{u1uSY$-uZQjI;@Qb$YBSTy9XQ16SP9jMq_O;<0BB zqhp}r@f<1Ubs!C1;mxL=l*IUqHI99qweE2Xe^7D8u~5<@{4T8%-Icwe`hD0(?C&BN zgxn1C#(>hC!dvaedo|qlL6LDUB;rSep&egw z?FQf00N_Ss)xA`6GLDv#T$#_rV%CQ_t(c8IUy#Q+4MP9U{!#WG-=W6v`Fv=a@}?ib zcnT^6`(xIzd-gyVC?&U)kqA+27~UT_B%UHv@`P%bBc43ob|gX%2d7Uj8oa=sJsrO& z#2a?jMDLPVK!cRRG8~2|g}vdd&m>v3nvEE4hrQ3`-=x1>-Cp==I1e}eX1y#-khbUE zhnDaw+3h+%kcZcRAQb@(G)N8)et6+jsWr-BIx6m%wD34(G z&ZnjK(VQ~ay4!D;M^6|cAJ%#Kgx(gIr_uT{goU8TLdhRDp}=z$zyBCGv+Zc}Nl;lP`8b@N-{a^Qqc4Au3>xz(`Z|fMwjpdWV z)t-KeUnnb{#vx9mD9s#ubAiPw2?iU)g1HxQ@u_?3E(^hta6ar_+#wunJwXwoRd5D2?!e-MLb?!pX|cFo5VO4PY~(Udkcnn&5;9E0@Z;3?To*3D zYX)s*m8q(net&rSC;>$pP1d%F1W&<5&-A)bWs#4|Yk=X9HMGV|z%=Npu^cLz#-K%g z1Bt!35nfAOH53$cOBd70(aVpG7%1Z5Z)z=WdgenC?Cm4wXmDo`lktWPQqt9BK(_P* zF42VRUX}#I+LBF{zFDpa^`_J@`p4g#1e%D8`vs{B4$oJdl|x1M|8X0LVsxOhnxPdY zT<~QEG_L4`hexDR@={HdS6$+9dd&GSRsEFg7xJF~`QEeL#UJRq?C-U`u2wjHDsoDCU zHA+Drjf2I;@}rvoROuP&ZRU|ZoFa~q*MIF+rc1tF6fI_Ollm^OP&XtRvdAQjQ*q+!84vm@+F`{)HY*n za-pTy3Fp{VJ$E}nd!`yvOJbOvhDq#K6ZCP0uT7n(sH^!zHga+jNNDWXU%RrkrLUR1 za7#SmOkUr@8w-k9MWSl`nc<$fqw%iIxas|Syq4Ho?IwWt-07+uEkL5;PM>aV zlx^)2c=aYJh6l2!KVvwRmHI0YQ-0l@*l9KAokVwwLSsjo8ihzgeaOibU{_Yg+}Q9v z>4-t*kNl|1$Iw}!*fyg>H~w!Ms)z-la}v9bsjIRH;NLTRD1{fX?YRZSv^G$vUDb4L z%oYuava3!*wcOXWqkri$qjT>%`ZtxkS=K)&BXizbzAgEouk_Tz=<#Wq`!u$`1*38< zS#G2`5wiKIceq-mXUgBXE&(;h3$h7?E0Le2%!6|jM*#Okkf@_;iZogEDr<=Gc~e_M z{lI+lpy&>52xXD{%X_Kf7;CFv-B@@Y-Fd;VJZl}~uZ&A8Mj9xf$PNF#{S2lt4FsF11&(hQZ^&`2!6_zF0F%+%5= z33F%BG`f)4DP?@kQLvPp59$xSghRtI$!UZchP?6-4cxTllrFub{3D^H__}#E&CL>1 zltYv#BPT%#zi?>wX5-AuMKjv7aNOOfHi)O&+-L?at{&D=&^6)3Fdb`_GOX+_;Q0Z0 zwGm?up}=ju7&D`;lo5v$8-+=&5|a6u;Tv8@uAcmdJh5jnjQuha^VN#T^H3NjCh%-^ zYRA8a4K;4k?;In0oELA@2d+oDI5l71KTl-IaL0t8D)^0(09^eogodma!zvhQkSEoM zhax*i`0OgGpLnzgOL|V$x<*D?t6I8SiY|#7^I;&hUm1KK*X9u{SWVNtfI};@CHDdf z&sA)SD!dEE-PQ7Htn`u(jhTSiHdcFi4>TqI6}m0pRPrM!XGFbFcLR(a-5$=vzoD8q zA&6M~vy6L9|3K9HSw(ZS^v%JEs=)-#ZF;P{5~hv%t?EoQ)$M1yA7+dy!29eKOizEMh*(B^7O0);MNRG99FO)n`i?0ABxlNhC=bGUt zTdybw<~({iM3dMk3NL<9;Jgj492%C7-Kia2%K7pj+7ryD0y1_f2Q+%WN zah1#`BVQtQxEP&j)lqe6c!MwS_O{uufCPNCDJHS1><(gID>9g!HBcK`Z>D=ScM>wf zO6l4F^L<8i(L1$x4L+MxHtT74_=k+PmZT(xx|~MKl*MfMFZK}IO(s?{78HhQR(+yB z`RUX=VAD$SG{SEqKhHzzRK@JQ(Qc*=05s{6^cT z_(A@y!4t>qZ~k#z6z=s`-{KKQS$p%en73wFdl2x=AwR+ltCiwT>bCyI4TQsHW-A=W z74TBBeW;h|tf`SpB$@DxYK6%o|2)Ky=R{TP^l6~5X| zz-YhV;DVn$1d^10Ug0gKZhJbG>_GpEi|D*;k_=l>MajZ-K=mY@C26c`UP;D3WOrA$ z4UInKk15B7DI&alE%r2~K=1Okn;Xyi%(;D!_~7_bV($cZaIJZF2FvSwO5E!Ymj;0ie$ww{E%{-MXLKjNNgZEgtCT3>g@)tlU#}%z- zbfv9j)W%`h1%KTZV_F02QeZZA1RwTR(eL1TklovYMw;cVsh5D;TD@7TWHG<+XSuq;sl_2>P*7K~K61(qSw5EoZfp&%X5;W${sKM>DZ7B! ztoVY@O^*zLXYO+dyhN;s_Q-`eEGDP)o^k5;+KX1hFmzGl(14D0R2TCz)7_k7C|lPF+kEEkvp?$F z+RD$)xUw?Vsy_C< zUIS8Uy1c@~Wc=`30x(DMJSG5oA|pia1KPD95SKYF5Dia2a%60BW^4#}-^jqg2SGtL z34!3i+VBKi-WXV1BPeioT-ng|)i!=LEp30T;rAm<9$PVJ-NS);M&^K(#*;Z){z}}15ldwIuP)L z5{!%i2P0@7mdQ(|h0USKtCjtgk&UUb&4Uzx#Mw9?sf@Z0(A?KM;mqvX)BwrD#HG3Z zNgw~#nz^c+0+#-FbA1Cu$bh0~_f1lR3q)2wc02oRcE%5Ez5NgG56V=vpxH@pB%^bS z`3jgO7bmDG*>^$LZwY^63_-?##E_7X%>Q76fq=GU=+gZ=R~=d*zw=GL;Ct2ft}X4& z5gGmIK+bGU5q!RcA6%H-fI<3VW(4hL{i(m{i0T_armAH6fl%{8(4o%lZ)+LnKIPw< z-(uA4fOJz<*NwsJKEJ6^z`ksF!3%#}K&5YW`psQJGVWhMwLHNjLkO>H(NXL(feC_S|(W5dNj} z6|D`B*<-J)pS0Ud%+Fk}S1TZF4BDXOJq&HuVPI`hK~~ zXosA;m;dU0x45_h;2?gEmi(KXzyrZ6Ino&ft7t}UJ2>lL$a&(ap)#G1g>#nGWYB7%Vblh| z4R&D*OYhd=Cf`C9k%<_&Fmx@#^;@IdczAKh^ z{gGFos@}If^F@Px*}(aNFpm@vAP?so!p16hP1S-g>_5hxC8=_(3o!3XU*jXX6r+cog#5KeKSorb zpOvm>uHQ9zA(yHRIQ%88l9ybfQoV-`>mOxh$MIj7z@R$e|;ET7`9J?Kzw_d@oilSx1>pFO+I= zMeFD6Qa{~gz`)v?_O@+lb<|ZNHVf#qFLia-I>Gs0jGaT1E=;s$i>GYcwr$(CPuVu# zvTYluY}>YN+xU>lIPR-Quza=aCtFk>L#QMVa;L27 zk3h=>`>~ETWU^}XF@tIaPt+W0m@O!rw#96SvHdceT_Y9m3SoyiMHt7pU#z{d*GBR= znu7}m$Qzdch0x}ZV$!tT2bn=N^nxF}KRbfG?z{_HjUHj8bjE*S1pYHZf4EX#YklJ$ zWDM>&kW>%gM}In-UZPcsUmFf$(*N34ToB=AQ`Y{ZWlr-4YH6yRs_UR zH~jV0p7Z=C=Jc2Cp482yXS_5Ju46ybe}4xQnV^ZE>l%y@aR5ith`+RL&7nv&ytf8_PlK z`K|c1nTLOTsxgiV>OZP~Fd|Ri`4Jw#41me7i`^#o6UYXEM-bh5 zK_W&RLzq@>RMPTctGI*gPQW3SG!%{lN&+j^iUXf8u(HvI~H z{gm9Vba0RT(%@C${>m%jxb!MR$J%4I+Ao}DDB4a#Amoe@S#4>{QJ;`yA>+FrN#05T zKfcURO5n9+=UCvwhhPS8jCh!Cbp!D0RBKP=eGY?(Rnp(ajcXeFpP8m zE4ilm5)kyc>KSNREVk0zXoDx?@Iy^%|A@NpOd>b_S90+hRu_u~XGFgPTTs56b4i|W zVgxQo8>)>NQU`RPD&Ss1Z_JxrT`igR(nfd0*N1Uc7O`E3=Vg`R+oal2mvg_RJOYwW z)*wvNmM*_}FrdAB?5_Bl^xt}C%`J-cuL2->|1@=-K0~p7iejLrlS7(6eyKe8afbn<{?9=SvXL&b0hiE`v~I6{v$mp-%6E6IG&;O4y%G$Xap^M;RB5}H00 zmk5Lyi8y>z#dd}s{ZZmS>TZKhVMQnJT={y%fVX|YcrG#M`zbLQ7 zXCJZNCh}H#jORFHB9PHp+gNGCSahdT+hv|n=Hfd_9Sl~B;)e#D!b;O4#>3N=PC3DM zZrGOEQr6oRn(@%ju9flqEv$p&wt0YY_eoE;(p){?s=Q0L9n5@(2p9s(_&N^*5){vu z?(hcZF#CR{Fqj`_e$xY)cne6)-n8j z0i!|`Uc%sGLlmf9GU)~hYDv2%l^I%fZpESKDeX>euua<*k;pM(QE~F+4EPaJD}q{> zb4qV`nhG<&|Wp~rYw@J`kD2Jqs8pN6tifkmg z1t^~31dopnK2fuWQkFHMgsqGjSC;Ke_SF9B!Wpw+OUjqRBH0dHt_x=y@>+v)IpDp* zEdyymVILXdh=L2VBm4(aX5_pYWIr!E?`~ZU4iMTLI7`xCGx_m{{gQ4@UD`s}!IDys z^Ny_NMPC7JWF^$BKUen#)#5U|GqM;nPrdA?2;b(9;3ytgsM zC^1jT$RU~|T_j$imHVH>Hc+3=@&w%!SgoNEr^5rkR-lFRx#8>8CHij0pHz>Wydox}Chr1Th) z60RiD&;Vd=HQ&~#UvwFL(p_}BWQEK!hWG@hEl&i4fECED4_4vD@p!7qtgMxTTwm6u zx_xm_(Laislp;SDh_F+iAS@QkKTzmcYmRQJ5_f8XnL0TVF>s;$D9a7E<#=MsmK7o~gIyCy&u8v6e!WwAe;o`fFcwEh7 z`ybGw4jKo%K*pY|ZXKw{^{Dobm}MdsE-apnlUu#a%zM;m&Za9C-@`bvUYpL!TSBpk zihPOAj}LcpvG)WCRw)tJGQWlMs7=={mAnmNNx?T@!@n>HYvg|3Ve)o&&|4zMspk#5$*U(PVpsVg+gc5 zB#%Yx5kP|?Ux?{%$H6AZ;Fy|L6z*PI$`Y9LLW3m2LmcZNeI>V`FV)58hf;9qIV)bU zfF9w-KHXot$#nvoBElK$*B+ccF4^>eBSeAXtPQj>x{%j> z7(s>gM;ro#fmkzSk-^Q=H9HmYoSjV^lBY*Dn4uK(aeN21dBIg(Cxwq{!#qH>2N0@ldO@}0?X>WxV_2oW4bH+;& zq*(?=NZ>w0ahUrv(wBF^GRbKV6OL01z1H95pAQ*S$>hho;j<{#gVceaY$*_-i#LTK zx={fd|LlmNl>IUya-6i452gdsh>y%Lz}4oOrN|2PLaszVmoO`;A}#iGY@iEo4Mxmb zw@too_+(6`rKv4*p3iFKSc^45V=cKFH$)t7ulb;qI%zIs>>AE37UAct7CyCq2)nfP zTS|kazjvJS$l+Cw=(z`euh0E7*7(-uQbAPiBcKyueX-%kW#fBuGnRx^E{u81&4GM7 z7AU-S?7G9xz$?9apE%~H= zQWpXY>LPu#6!>RDpJgoECB!kLp4G@qEHnRe zQWU5_fU}$quTq<<`}ga^Cgb1Vuw@P&GVQPv+bsgA`}V`T1|^qT^C9aAFPqm(*bAEC z94@#Ll|B2*6Rk&rx&EoVviQ7JVgS2*!U`w9T77EZ04xD%NZ0lLnfp`}od+FN#4U_B z;j@@L>TUE1EO}<}aoszY%%0PKMVUH=Ev9&Q@}e;7(_*0Nu8cL=GT+>3tsOI)BMPzP z|6FjHULwe9Yu^irF{UKv{T#Q=NO z^U;6T3?iJegL@}Fd`;G=MF(|!o(Sx~QM5y{$NK10EpQi;edQK+@>1O3Cs5aTp9A66bsfy=)PojC{1imR zM?9RP1-)4%cf+Q+=k*!Iwe9=WKla87L(@yZrrT;viaYqX&{vX~uWT{p4&o|-XGxLvv>(IHePm7=delbBC|T?u>_GJ5uS|S#@3(GiXC`d#z#JZzTQm6 z440TFzTRpVe9+YzaE9zQp1X@XqfU?_Sd>lWQs8`HIx7NgsFjgh;Tyc=ZygPf#5%&@ z%|D;$la2=zE*50MOp3OTzw(g@FM*}6_bEj3`KGzcZ@&8>5O|vH8jNI~qL##p*mp(q z^Uayep7y5kQiqS8S#WDoTw-1l`%|=*&%~_M=Zh!@3N}G_8+V8Q*B8sg&_MwZHfTV3 z>8=0=wg#5Dqt>Ug&Ptpt(aup6fp|n2CiZI=9)KB@?61??M-5lXye!J9FxOsy zW`TX`^pI~WS(t6N{xcOL2H&j52)Y`dn&&+yb9=)dpX>!Dg&HWPxMm-qIZlP;9qCLg zyy60~kt(heSz{#3(6|oDz<=4-Y(fXsZdn&{a`Jk%a|nJAyZ>$P#r7fg`5HfcpO=s9 zY}{Mv@i-Wkq|h>9pr9N*^w*R%C-nDnUwRM9NE ztW96lJ9h-xazS61z9P!63d8;T}yV%MhPInJwtpcrPRLPh+xyUkNggRn40_ za@)BEdw(qVj+ETe+xDAYL&9`H<33z3!4v@ z_y$pRzdJ26h3kX4#yL2a{`YsBSt@m)atHb(+cg&FFFX7rIaS1;$#SvMc5FCGZcx`X zNAX0%_^MYFP^UGB5^1uTgjHLHV=2 zIX%H4JWgF`WLGOq0H^ow85jziE$A+h4SAx|*_9-Xt}w_$Q)esbY*WL06D1dP%XKb6@wlaggMOMoMeRKbclF(D#}ZW>T^_NgPM)cM@=>rjFd6tFrD^ zF~hkdewPoafl>)>2q0U;w$D7$eHI#R3!8l0TX(aLS^a-FrA=ea^tkaoK|G0;>~T@v z#HLM$cd?lO@7^R#+MtB(yia}`*+mF^p=A@!h&?zjX%?jEdMh(3yXp~`^cZxhrBGKR zm--$4DlF_wq@Dxp9OOj<--mMGEOF*f`##7aPPQ7boF|g9Kkl!rq)WFN7 zIdFM+e`SJQ6Q{omille5`6EO56&iiKSMLdpA*;NrK$UsG^heu_vyq9^&*tUc2aLhWlC~VDYjmaB#o|%P_8n)L%_>@2g9ymH5#*SqU z;J#G%N(wUe(9PHITtCFG^-=T&uy)7Y`(nxaz!AmFQ0NQz5@h$BYT zaWh+|!j&2rnCYihug~PCGG&fR^uYei6T{KqdB+sa#vS;T02E%{2P;+Rpcoe$1P*=3 z(?UY%|6vHmWhS9vJ}=zmJqpDb!1Kcl_!D+0QQ^5IM}+3xQslBYzAG16pOO}r>AgLlp5}#D4{Ri+JUu+0VeWKt|EIIE%M-PW^V8l0I7La|2cor?<;CM2uO5XU?AP)Y#0TI02+SAy(=K6ahlu2`%dW(wTLD`e z;Svvmn~3ouI(B|{3xLaIDCeNVj;&SaNEZ6D4UIP1<(AqGvb0+dn(u}g{AK8syoY`B z$9^Fk%7`oPUflx;gK<4TcZ2gfPGFP;Hunouw(uKj0TDw_Kz0k;-0R^qbfIC)cY!zN zkvkO`Dx|uXGwDv>&oH=W*^r{Nd!6g|dbxQv)EM2wn-SmSQT7>?3NEsE0}oyt_P^3}K>p zN4ez6yytOKu0xDeLd1G9lP*B~bJ12ok0?9uBe;~P&FxYQ-P+XRK5JFSidstlE00!f zWpnqZ66b0b!jPKSPNh+gY@D)Fl~l-J3H-s=`-77&W1d>J>-KJaB+rB~9HN=r-Fouy z?sDIe#)L=#-cbt`C%GEnqGOF@O{a4(Lzu>)W@M>4(vHh>UBoTqQ#w#|9GKRU-P~E_ z`fv8|*y>iMEFtp&T#1NJu1)1KT~sK&etj~ee@Ho;?#bjYS+(d}7RCUtY#f}D-S-NR zP}0@Fb$X96{CK_2B~BT6QDxO15-FDuHHf5nls6u?M`(i!nBe&_1n{q;F-#D97KPSv zqg|P42PJb=36E|A@+UY$4wgvmbCAcQ^H{y%8fAEKeTO;!TZYAocJ`Diqx>b*kr&RK zX56^jc>xVF3pX>?-y?yk8?$#7k^9d}307IRYtkTPN$(I-HapT9W)kf`Hqi)JPy&#t zP#gvF(XUmL`+E=WKLN!RCB&y>XwU86kzORG1mdIg&dAN~+mQv*mp@MfZNjCq;RM0} z#`nXyyQIbmx)cY`Rx=b#S|W-c{l}&`rK4=1SjYB666a$Z>0cfRK?P|*@znyXvDE*yZ zszmqZA3NxzIW02T;&VLEDjKKj(bk5Z{)^r%ZNt}*W$2w*#kX=-y*1@$fS=F?rg=F- zSLOrEccQ(b(xQxmvaW;{>ABayACx5L-*&Im&{&8TTC)s(&!+#rnl|rlZPK~q*T8%E z@ZlOTxxhS}ojzY2O;q%7bECmxY`>J$Og`Od6M~JJ>zq33NAP}p4Ku*o5#fr!lg3wl zyO>A!M338sW8CVx2D?0&<48YwvX#NC#hnbc3kkCOSuAMjM1`FUC#uV7b^>qTp+S&ZGBT9cci`?hS@a0@ zV(g!~3SEm0G%z28_G_Ab)n@C@=yF=`%q$=hwb;#K zy7q{riOzUt(*K$9v}adZT^QfXz1v?I?M`sEq#B4h*zzWnI;AZs{IC)yd{gV?;+-+| zNL^+&s5dY=&ujxWq_}Z)_ij?YXs_BYnKszu=X=SOaA68iD`Yqet z78Kb&sKOw3@a*@S>d}9yeR;pkrXQ6Z;RLVwB>P=b-KX$VM|SyZ9e&=D?B z1jKw&zs`bI2-=Q9^NM|>x{?@7mR&rnmp5553HBL&n+x#9@ANXFVdsXpC$x8kdhZXM z=*+_uQJ{eGt`b?>ahm1Y$FA*!7?wig<|!f!`N+I}o>=ui#r2g#pMXbfbpu1=Y2fLK zv~62vXJZ)|OfY1hZ5F6FE~3=oT4BY~^bV{3j4yX{F**Ee!^jTi7FMlid{u;yfY~Nv zVjoJ4mwm7%Z6*_ViNQlGl7f3mLH-4xGW8yKpyM5 zD?Y-37(fZvI|tcFW}albx=$amrqV{xev>F?X z7=+j%3}&J&BG4M7w9J4^Ng6>B+sHD2b*Fl_nLQ@RhN^G#PY|lN-ORjUoXoMIj(T z_-p#@PRDH8iJ|{oAHpPscpUWT&hL2&-*l+sXuW)*G+64Hd`mL$Ev?LbjRvveuz(;+ z{7JiUWOzUaaxN;#xrgJ8AwV=&6b zbJ^&t1V}COG$e_-p7+C=-+2DD>3d7Psa=8`jY1p))3pV}qZ`8}_iY}N{TwgQfgNnSn2?xw}gp_sF-(pR~V*Ieqgu(25lU&D`f3e)Y*D0KU7Y{~qf0T?| za*dkv36XNG3m9U`sK=U&3#UM7@cJ3wvu)prelQP1Z%LE{g_sx4Mm(0SIoCaj7Rh192ZFLWDmQUPSHgC?n|KoC1DFh1euqEE6knLCoF zPjBo=t_l|3;H9}=g&769&?}VYr>Re z`9`l%l&OA*&u{(g8{G%GAqm#^gb`AekI((K^k#asZA5(^lIi>&;gh4z0PIDYPix3V zI`yFc76%Z}qR_Ehd~Ovn*FJofE4Ia4dGnyZ58dKol`+9p!W5+W-TYV1 zYa(`-#1y=I+R(T(Nd9RZiET#t?rZ848w0IVTxnUv{D33o&)VH_kXIvLb!5gK3r6iy z+69IQ#k8~4t;i$ejKYAY!iq0xX^wv{@NVZRdA40Iu%#JDCQG9DMb3y>L5IA;IL56O z^a2G&NPc}I`+Vw^r`o2Ey7w5l3aW%xdSRc(>CM3&M1U^T7=uV1EHN-3Xqul8YJ zK?T!%@0X4|Zggu#PhTJgpc@pLFc0X$E#j&=NX*N`-;37Qky+KT0X{VkgK?+IvGO^y z^26h!%?c~FwY$s|fX}H#grvpou#@!2q#a9YRk0olT7*yGR)|QZ>&djdMBT<`*#sh$0Mc z(b>EDX6fk$X^jAd3Zfnj-LUI9$9|s~bKniVaroGRRz1JHx4N zIqRPA=bMua_K$sJJLX&pE0CdGJb9Xai#)9xwQOT z(H7B79#|{NYKgX|ACWX@NGFa1gBWohR**)d{)<-eUFZ*u+Hc9n*y;w_!Cb*dOM5AvLhOVU>$q z5?$dtUSEChVzIwX`wG$F>I$-hsnzROJg1;f1BhKArH5hftGz^o*yRMD5kN8@y}hj^ zTIxqX;cIk`V5RW|QwDKC^h-?foJ(#x$w`-D#ZY1ntjjM(CiFCVEt&$RV56Ha`xinQ zTW^=pIkGBHl5Na`_t&Wu;j5>ejU6acHd{gH^(*t~!we+(#VxT32We3O!U^YMN44hH zVTt5#WjCQdoA)Dv7cIFV%;`Cuhj7o{<>B7dNy^YOEN*;G+Wg9u#J?*w1pppRnD2W@ zF+=Ei*=SwfMSm>lcbgm^pGdxOAw)%SM=b5rF3;y|GSC}LBB?0ADV{&9IM=Lg?XhXM z+Q7^$AdPo=_!?)4N|X3wX&12~Lek6TRzg{HI?t)9`ANPvRuCT}2vaShcswxB0>4Y| zAjeiD@@fBi*?nR77)AG98nQ@hcHof_!QVE!>`hdPN;mKQ%NktQV0%^@NqjIzM~la^ zIlaLO)frAYP25zByJC%CjkQ(*{7xP>p3kU01+RF0sOb&RF0-?6Ox<~d+sr>Kiw2DZ zn{}OTp~q?4d17Q-sE!+%BAWQW{b9e)db|te z>Cv)=CsfY1)1o;ieVi~ek(zmP4Zo3kkP zD~U&$3RKjz&cp1bNaq+i^i9nqsl|BW=T|J@fkzA#V$%0s)XlX__|Mx6DRelF}37)C$|a4KJ}H-~PvUU$dM;#*sl+=TM{3@xO7SA8tK=F$V;|C0pdqwCVCf z&{RKi^*H-#NeEyfxtgH=I}STh11&S>teqQ6G=k>gU5_$I^YtGG>yhvcvJGcDI6;*c z3RH`gU;SnEo{RB-Z#_YO1SPEgPbPoXe#CJ9f{R2|&&aF`WsD|e*lr4VgoL7R##v>L zOiV#^1<8UG%N(n%V8%!&jwwg5-}oa}BbMo%ip*z8z2+P%hE5>RL_~%44pca$uUR+| znN)(?nm^EgV%sh!^Y+Wwz95uzFFI1b&Zd5$d8y&#>oPn$uROz!@5UEkxGJJ9O#vz| zkg;CM1OJgzH4%3HQB&sB8OWdl+7)NkKD2oDnH5SilGfhJ!nvk$rFqMjBP4rRRX=$T z5=f~L>gN~*YYII_;K^lJud9%(yUW<=d;y7-^-3g}uq=#t`j~+SkqiE=xdjHLsTz=g zaw=I8O-TBz#O* zXZ^HB!l7$tGO^QW68a#yJKg%#!tSSrqyPSg(c89 zwej(3J1R48z(*lF>My$#YLOvRMC$ahI6H<;jcjyE=vcYJL1tznL*Dq=czy2SYNZE> zzM@-xZRr9Rt48CT)vjAgCN#EaX#FE}#QrChdB-`5w`0pj8MS0yaXzh7Vo7p>FCog6 z0qn3?)pQMX|ILe(R_&NwL0U>fmCLKh;6Iwz=)>0@d!^z5z?7UpGKMf!vPf6_7)L^5 z(#Mm%rJ^gsxMYnGg}zU8@SiTsbO~s^BEy!5T z84mc2f?vTZ9>#e~t-q6-JeZwl%C_%l@#W`pIw5v`X=jq+q@!HO1t=FL-1jP}d% z(TpYl+)RAOcSJl2*T4R;O4ZK0uf;KLGZ(0{zokk-bptE3H(2~)U32G4Rli0d_>LNy z*f!aHf^VvbH*o0rjRP5>W$(`}S1SwcQtawW8h6=Y@PtIB{YP?QvsBvhpfavzD9HE& z+;FPj9U~3}>+78qHhXkh?h^0n1~Rjs^M_`0Qktp({STYexW&#fL0cy~+cS@i$x*Ak zNi<@-@|9iRZ%uF1*bTEkgA@>>c3KuY9 zDqm0;q(X+ffRNfgf&d$E`qF&xGCrYVuw|<>sT?#dinN(kP{Ka2y~!11p!zFe{72Cv zgLN{5o6&wBzc;f|%e(^Wry)4&o0N%?uzcOQm@gN2{`}vnz4Kpfb)j)IQJ}Jp@ygq9 za|7#G2loxFo2;g7?cJmN(Vuana)n;kvGAfbhG&h^4x8EQ6kD_0{Bu%0SL4g&`k98o zj|NR~;z}P#L_;8*&z#INyoBwLE(V2(&IrQoj`5RrF;$qLq9H(qGvuUgHH^1}y~;!E zl8*(Re~!6vQV88Q9@eGe!-on~q8No-B~3B%b|42y+XSDI(c79MH+lOZwN{Kwk|%@A z3rZ#CINed~zGga`qek;=E{llp*66DN^A_|VXK6XIGRaj~CYbbCo+A>>*p{G>_3hG1 zrLpe8Q^#~5HNovPaTsJ0#%D z9-9S8GP>*n&hufw5N`zAIvPpL$1IN=50Q4AMkPK@r>u4YKd%o{ycEX_fn) zV6&;(&FFl8796_sY$4LAl>%m+WxCvQ*&MB~driB>-@7tGmoqv>k${(B<`e-emOe-Z zr!5(IXm(Cw<~ybd#UQZWUxHheDV+Ze5@Gw_AQ4u^{~?fPXJKXgf5^!HWJEYvnEtOm z{{P1x?+&h-Y`aRoy-mc(DhaoZjJyydxe6pQg(wnS%(_4b8SYZXDk&)qwSZUHw7>}Y zRn)Wl`E%<&qkUSfWqs09hxfYk+EZ)6H#kvVGfH9s)BJ}@h=>v2Pd^`Q??0~(BM>C& z5jY6AgQnJVKcmGQ0V-e_@#qFPOqld1?Yo|53_7e2wb~Gp1CA0b|Kc2W4+HEjO7bpB z8YmD5m{9RcAXd>GDj+BYV+}pOA4W0sKQffFIaKD!~})T;p%XEClJqXrZ|zrDS^J`DzfetG9N ziM(9^2j&UT9Jpt|R<~eFfWb8gYmKg8FV5kx5%?KT0N+oamm*JkYYGo!08n;6J7G8k zaUY5?j1vUm%%8K0a?mDSp?HCr3xC`;V1GThfV{NdTNi(^Uum$gFZh;*`oNAhZ6Tk2 zMDGB+H7u|>W#!Y*_r5k@b;M1BSoIlvMbWO5G_EJd~vG8k?@+cTckjK7vwLFkDJk#JdSA(8i6W1WYZlWLm6*t51 zn(aDt8$P{vSVBV%h4{z;1AIuxQ-UdcFi=R)KtUxYCZI7mpoew@StnKZ~|O^1R4fJppzRY=%?S^F#lVJw|C$cLmbRLY*U1=y{{xZ z;NYvDE2JcMh)*Ed0LX)T(12ck|GFu}t%gwHY~NqUUp`%aIW#mnIl0dYElyv|zXa+u82=h? z4cx#C_>3TLtOb#v1HM`>RptoVtpaTNbLoF=)dIDMSP3EO-G4rj`|+g>3F2$mG0hL} z0Mz~t!3H4Ce?$Z~6cO&~AfSPm2>1Ng5i1)Ug?U+d5q-XFL5M^jZ%NRI*cCSoE|3w? zfi>GZb>0sM#iQ4tK)>FRn47@gzswl};xIr$iG+c|UqFD}6y3889#N4Y?uhVZdiw;t zg@E#^8p}p^fesA$(>b09Aeeyi2*$quJ5kw&cY7O2_)88=H0O8ySDg>?2(+PJD?M~W zGK^;h;I6woG4J(g6DQ+uzU}uBnKbI(-@S+;ACNJkm4w%E;zyLmz9rMtRWjyC-#O-R z*}MAz&(c6AR`yN4S07zZ>@bRY{fHkNz+C$8)l({-K0D zB75Oojew>LwX+)0_VMxje7Y@d7wTk)6IGsEGGS~{=-)G+DDPEA@za6I~uvZVm6zY1x9wl$e$th}gbd?^CDn!yeBZu;j&irl-JN8jZ#Q$Qh9Ex4X^j#+jT>+jNIVkx1qQ1j15}2N9;#S;d9@mylR8o((;{zgm)*U7@lX^G@9-^8EeBMv(A`muqiqx*@l4 z(^ILVP)#0ia&V<}5FVuTHTYa5&CmyE;qqSiY4Ko9i|)z$Kt+u2t}Yr*j*S0VXaVmejrg z{pl`gj!eQ5`zg7Nu!6I_k4^`7!oxUQQjsN8UsBhPN;hBwH z+JN}_06xV8<~$eIJ#|)+tSdGl#EVBR*+(rAyw=(wwyC$8qZQQ@FCS8_xn*fczib8J z_5$6NR1Lm8bAJ9`wlcF+a{xBEs^Kh(j26=SC@?+r>%kf z+2=^lA2v{D;u9v@pmTGP^gUD9f{!(>RqhjB44wP_4}Aq27!KT&|~Rc28eA z?hg-1ZhmH*R+zKZ2C1E!(L^^Xv!0Nu%Lc{DqViJh1gp=Ck*43|0O#og6?>~Pp}&dy zWCH!*z_}&^xF*2pXrjQ=i%0OPB{h^HRl@_3NV2$qtw&j}NQNW>a|B>VrpjF+-{F$GM^ zi2U4-Z-Ur)CQDGd5mgL~J$elt){bQxI@WZFqLZ`_d~wVnhFbZkr@-R|Wz7s?{DO3Y z$6D@k$hRs&SYEoX)HS~AbM)o9?k-Qq-sUX|B{mZ~WwO^c(pc`lOj2^lsc#oAeRHdJ zy|OM;;u(yi>Wt4={Bwg<{-_AFk?gg&wo0Fh+D*I!|EqrGE$F4|q;FI*97K+_<*YAr zp_JTIzv+;r;5Nc7HK%at3{T)$5Oo~9Le}WR2LxPr>D-XqyX5FXpnr^@!$-p&&m*r4 zyCc`PUnZ^DKcSj!Zg=V{l;vhzKl$|7hU@jxrcMQ*K!`{@Z)K?X88u-s_e}4zaJ2Uig z>CD4%@dROFDtg*8E$cP+`b<8Yv<<1y!m*@oYh|k#(uIDr?XDv!!x;W|I#`<`{h-M$ zNBoOO(?jB9_Yj?8fP_1o8HYCV3^vnZcj3`Qb~le|Yqs0m%#}Q76-rErkM_NRJmFmE z=Zaf5K=}AX8NE_=P5arUd|m%}S@sShbcWP2QFD`JLL_yI5>STj5k_5WfQh?W3ihsl zDo<6uVhz`!4Ss4Evm}XLS^3lmwaTA};jw5lQCqKUEtZc0=SDZyCUq!9f2UeTWwu?= zpArRa;U~JK8tek0pRfzCvZSi^fK{UCP%&7xU+8@Zx3~U#zZgzv@8KvAlpLl&dB~^p41vh&ot_F3K*y!uQ!*8ko7k+=wz0f z4bYMUrFVNxx{K&5V`(dOUvNEkHl`F>j@u$DK1oy12|Wy#4wl7~Io~#-U-hVrhEp8}Eacjd?X2@E-5Mo;FjZ?tMqD?=iRWF^9Xj%LJMPHuN%s=(orh25HoJUP5%P+P*IlBwXdd9 zc?q@SLf~^<+H%M>(1B&i(W_`AM|7@c7nWRdxiFv+QSjT4g31eshohl8Z`$A=d}wX* zTC=Jm>FH^6-e&&6X}~CG}@AMhm4S& zxNR#arTdj^B7e)w5=^wecR-792wL~9FeLcRoNCH8w6|6KOBfohcWM~DYj(%eQ)SQT z$8KT8p%?Ss?r9|Ucw-0$FLpFL(UaC+33dtI@bIA5c||Z&0-$ZI@G$h*9*>RtlEv(X zsnMbX(NZy)NcbF}Sx?8)4*sg zmeEFTR1t-GNtm6=ui%Y`#DK;;A2=8T@)pdE>G=4^SmL$E`~<&K}qdqTkMC9`XpsV+9?3pTKvCpq=vUiY5%rV{h* zZTyQgi8%8*jfjV$29oQ4Mkdfv=ES!kIWx({G8WUgpT&)e^|S9&?3T9YcIW()G||Up zdkx(zLpw`TF`4rX=17uSf)jmqPO-vLP)F@BI3}n%JT;~9Z09&X)&D0wMgzx_Ud8~7 zF`U0%!a!lbHXEY5XP1Lsu0}DH2HoQ@uS|BdOVFI%Wecv>{GA`O?12fcgz}69o}hP& zlj$_&$hzUyE(Y0!p0ur2rpqn!a#W3d0Z%LwA9xgnWwFL{*e-`fHF@kDBZq)p<#Gzp z%`y7Al*^{lN&^z^^m2sH;i`7rV3nOR1I*V*pvnOZ=vpajX0vhX~A} z$s$YUn^(FWTVy}g+-pBl*5&bEiEiP{&iZXsg;mxyhT$b`jxKkx^*fyXCu{2*gK(Y^ z+NRJEgRE7d%*9-CA|n%DBA-RLQrB107WffNf(vn3@869hyxDDETzSR0 zdL`4iT~}cN*Vagr#ny_!zmHBn^`ODQ)trr%Ka<~z))Fl3O|s;tsRrCPg}1>!5T-Te zvE!BEjJa%6d>!Tp`zj;JA27g$?R~9&>~D0}GG7g8vjB5-N@qf)lNO=Ntqy8UigS;7k^@n^|iR}>BX82|uQ(25Waamgy`8>PKt zy3lV^aZKP0e<1zwayQ4=$r%$}QY&a?>Z}g8KZ`4hV}{3#e)o^DXENyFx)lijvJSjz zMgKSG@}KInG8OOn&^l_h+(djlz?+X!i?K9)5|zMsVB%W$ziq_1R!D*7JfcxnnZoxL zo#-rjXRy7YgDCPBjyBjshv=f`bJ-L!Vov63EY~v?Ixm> zrJ>FE3;yZMs%*_J2)5|+%Y<-;H4nj+hQ+z614`Xw3#~&U{Ew@Od-ItN*jb5A+MHr< z=e~NzX*J_bDwu*-T=IqZ{>V2l(FK`Ha-TAqY!R zC=H8H?yMY#TU?k6-1&tD97&faQHJ0|lc^2@bp^6OjP{U~-vJ13CPHp(0IDTXF|8Dz z9Oa`5vDR_hcERMgnpNrZ#Hzco9Tq4!%Pi$qt=ZGtj)-abbbMPkJ5YlfH;he4{Eyp6 z-3PIh*swgdCeiY~_`BD%SWQ|X@3#CkJ)G#7ht(_VR*=war)`rNeNK`9Jx$l}hYI*U>k@WvAm+aj=P5 zwS6KyAHkQ9>=P-s(Sck*Fhj}AQ;F+{y#9btbK)z&XD((QUeG#_zLLt*)ZVdofFt)# zOsR0|u{O%HuE{Y)g-fPywq|RnBpKeIN50~VxtOK zb2HMzH8Q;ly1L5p;Lj6<)2aTbXr=8WF z76r=mc3+gZhTW#(l3B@WZ~`SD>q(zn#h%--aLvEej7=wN*L0;a`F_bw@?lR;S39q| z9$ajqO5cUg6fG*Q8YepF&D%}>{+7;NIK_}IkHSinrcUq%1vhCSRY(UPUO z6s5{cwg+B1ZX%-eWYaLNU$xM@3DqeA%L$S9vw_TSX;RR@#AlNL4Po+TasDTXQ?;D~ zBL=IRE^lpU5&>l(tHVG7L2AQr!7ra5Rw56F3qQeY`=jKj7{<=GI5_Ev5hDLI?u5x? zN|`_IfIXT2Mae1bTvXgf@SiVMyYw(qvYZRz*bRRprZ0ePo^=siQpIM(HV6pYn? zaziAo&{Ce>Odx7wR9;gO7eufk7}dzkfY zbh~ECi*Gcq93B`aB^23!-UgisL$$YJ;_QwjC$FS1Ef8y`>L@fXz*lkqv4K5n?Iv}q zdxYd_mApBVG*dbL{s+E>|Dd}0%M7;j^xlxA5GR64Env}iKN65BK${qPya53V`OCyS z2vR`z)M6aNcJj11+P>(J+3IK7f3|+jH;N4OBt_l?(@_mxcWN(1B2T^(fY$}bX+$Mz zp}rN1C7^U#$tMe_n`zLgNogGsf@fx)ZyZMikV@mZx}v!FhHja{qUzKhqh@hm-~{_9 zvCeZ}vTy&>Iic#Oh{n}8N3;8zQ8!525dI@ z6(pgWOugFwMg^94`&8tDLfYJq+LjMy9~CP;)DlCf;NJ%G`$H{pPRu9S2Q7%wTC%DI z;IdjYkLfv>T6aH>Po2jSP__T+Rd$#&Tt8JSxq>sBRcNBQT|d|nYKJ(W1u9ydsg0uJx(re?D(1AToy}%`x?!|_*mfw z8QV7w^&rSiMPy`gYe%*c2k$kjplSF9VllU;=AGK~$x`&yf@U(S2E#xTEWElZaBfG9 z2HxSq_q*zKavQJdtH_qmXbFt$FqCy(cN6l45F-!t^<{g?^Y;$Sj8QF;(d1y~XKmDL zYK4;W;h_1R(&rV$p(-SH?zjs42QEy~+-5=E!?P@4*SN3+?kd(;{sc&L7ulJZXH(3= z9pU2;;fD4hw~S0w5k5iJHAZq_F1pmo1eeWW=jzXt0AxLO#pBfGRkbK9Le-1XkpBlS8%<5sEJ}CjAg!m92rx8AYY))_{NQ@qB0x9Qz>DuLewrr2G z2`o=?uljD;5^73*+xt;PTd9(riNRQ__0*XNM>bG}PPg=ZJhK_We)YCjmkiZ~E{YUT zCO4b?&wv90n|kQ5h*BA2_otzxy~_CAq&b|~k|Rdqy&!FkSf%}&HmK+i^0C+GKNAV8 z37BQ-@%+Q~vb|#Iu!v$xP*0}h;iI7)XX7B)$ToD4h&u!TXDN(G`sL7SfA1nC!*eA@PuO{Ni8H&L&Bm5W%r5kYZN+=b0VvJ`mV-rEE_t} z1<2Uuj0LVM@9S}oLGC(x9CV>#b7Ol6u5abwOC?14r2WVcKbrsQr|ys#oS(|EKbd6# z*o#6I0;tjBJw-@Ecn8Kl!ac zh0EqFckitP1715u_0!IqQQXASva8yi~FH!QRYaO zCksH?N0|#(!&O@bfgEUns3GZSWImT?iS?(W7+a?>3_@i3?G{Y&Z`dW`t7K#SqW!OWRpW1uGMiMI^+0 zFo3`>Bi+%Dt;2P0vX^tHTv}C2HKi!O;Oo7D-v1SYvi(;K%EJCXay&+SHWr5ej6vC1 zSegF6DewOhgSLPwBUxjy#rhAK3t(cDJh5UX-`pf)8uf+$894(J;YW^#m9P+ox3EY^ zOhhhLk{}^I&id$@edN9U^_zLk$!XeNy}h{n(Rsx{%gQbA@8X$&tql}31i=r~r^qjC z31EkZK}7`#3IWj87KMnW`htVnV+<(bK_D+)@;gVFwz_MtI@35y%IFf_w$BrzqU|o`Vo0gJGTYi{-aPhl3}i zpqTmH{5PKqCPt($Pb`lW=@8gyz%-Cw%P)is133EjO$GAGLk2UV0|oMMe~%E{;Q>`R z7t6@~#g7Lv0%;EL8eG)9|I+s_19i!_z1xj}1Zwjam4%q)t0$NMJOmaQ3{dYw0SqGI zX@J!g_hQEkpZ>$Fyb5&DF__>N-TZ@o2mFiq2c8h(ooh>Prx%DIzBi|U9(`gOC-O-M zA1447LXBNsO+*U*FlrxMFyW;arl2;Lyqa$bE7Cq>!{CoE8Z2n#*d=hm+Rx9$3{t3Q zn-MoC4?=A(C&)Kc5KbfGf-b`G37D86H(>9Dl3@Nm{ngSpe{bC~XvBj6*cS&Ee*6n; zuV($LBRB>T0o`HH_OE zk&zv4%pK?sxKRW+V4$DR53hznyGfj2$H%wP&!?k+s3+-(WTkg6){j<6zW)O#7z9KF zFlexFKR<-9I0Sht56CxHBrfv38p@uZ_i_R(dHzwJVT00#T>p;WHt(xmR6p>S8#NAc zYJ)xgD<4QJNK~M~8r|40)3jgb*Kfn8TJkS+|8FZU3Z2^OuI7#2#cv$yMX3Grr&Qc= z6&l#2j}5XbaQv^8CDd%hj?OPG;lMv#E_CavkiNdGU-<(# z+fTE8Ed;SP+;PO)b3OnlzW&|sS-lphQ$H_et~&3JYJY>&<8AVUIQqoTsw-qfBw&F# z^AenYw_!Cg6pX+A>KyLPXI4LdJU(Jbe+NLrH7FpCym?>UXL2xrfU7zA6lko^3pRak zvY-8a?>*n^D_#it3gFFtNO$QkK0N)(%6+deB>q|NU-il$dA}&aM0H5WUokLXft$5a z@b|ha!uZ}fzf;tHQb)JvhcB$YM#x|X!NK2%upA_a!$-aM`r)_1c|U(Y8Q6a+TGGBR zQ&!jN-vmECMf)~7Y_K=xh`?>1y|0h{%_K?>QoMj>f^&vimPKaV0DrkN)H)`|0pnaX zjeY1dqxYj8*@;=Ii7hclrs_06tr$B9JQk7*wmfj%HDdJWS{C3^G4oxx-nGQKb5jCS zRQg0MxUMG%W=N-gtFD#O{*=po5`o$@IiG_^+2z*KPU{z;qod594=M(k#HhwNAh~EG zn!(7?_J^xnxw$4JeGv6ZnvJzx+UJ_K5rdUa$^PtJWlH3Q?|}|db%o~pv)AmZmHkPRLkF*4@Q{ehjot3n zm$6cOEt}$)VDVp-3Mot!bSrf4lR}i+4kD{;w0&Y6-2};;n`&oGC(Yt)v=4mJHoqb+SsM$^@qAxI`fVG?2u%wml5*8+j|BozczQgQAH;+~ir?Q}IDi#oIFfnr>W&Tgt4-v}NmG z)p^^j2E^M3dgcCAJy*h?!F^(hxGO&*$yW6Gm%p0@UnFE+)uznJj<$9ZX(M7<=e&}> zsM%~XS#c###(2mJcj{Tmyh>!FIAi0wO|`HIpFLv?%OWwO_ylj*-}n@GORSuh7|S7X z(0nQ9ow2I~^bgGS&q@V5Gj$HNIyIDASQsduKJCnAtB)}+jvjM2k)#e+uA_Y>XkoHDNp7W|jjEZPnCm#8o`H*1nv&GzBDkvC-uV zJnvS#gF7>wa_dXbWv^%o8}iOknr=gy1I@5ZYr<26dSMc3C8bii&>TwpHX*7B zd34f9YXJzE@t1Axp7}2$@9#%Lr&)@Zf#0Z2T||FDM8Mt0AJd>RL4D87_cKo-npUB? z=0g>qi!#mGkBq_bFP5@qjjc)zaOf)NrWd->i1+GVW@*pK)h^KdWN_cgkH%Dwf8Fx* z<*Lt#!xxH7{0zL$0DVjg=M>&Pcoj=eE(4BsSA;l7y#Z(+{2fzix86Rwq4N+p~e4+tuf|1x@K)#gUY|`fLrdfnKC5nYHfKLO-MqzI>E= z^;Bq*^5u%TM>TGBJym|ImGH+~f<5=FrIYmkM%NZH1Mevhv+L$4vye7yT*c((IV?m| z$&KvvM@0vWH*V*#xgbxRkhr*9ozEH4w7h#9yU9n2CM&gk2Ojn|2!lS zZ?l_&xa5+dNqO7nX}io!wC1ZRKe&kMzz=kzdy2c~dLd5j?1E(%wA_-GHa1M)hLC|D zVUcVKPjkXBFm1qGlOacJ+p;0)Zwb{2tHF`vja8>A)kkiTDqg3GplO0dnxw{;y;|P) z`EW*^A@RDEP}~)aq8u1tHLbS~z;Sf}W>iF3+ff$x0qVkN`fKUD6Fsy-nB@ckaR_E zoTdFNEzl=zCXF?BR0^}b7A znI4dxSbBFdU5gpG+1~k*RCWfbsV>p9kal*ogjgrd+Q5uW)JmEi+sTFrgBnxfiP=EQ zV!m~phto5+Q&&4J?!C#Iv35WOHOo;<-fcLVuBK6^I2fW^&iPl#Y_UNLpNrk3aRsI0 z^l})EfG)v?Oi}D<^54sq%Uo1>4j#V5GWPkDJUR9!>r9n%s$h0Ms88NB116eR)sw+) zn_-daQIR1|p5_e8usJ%&VcX=r zpkhLLTfPh-?er{)8qy1%dw9~(SrW9K1+5ixJIO9G8*ps8E&)CyKW zcJYNd9pnVPGsiWx)DkUizkLk>=t!$?+XR(H2_ADPYG1fi$)!jKV z!9XFD{Ks1Nw|(gbDAws9EhQ1OB7$j8-ow?F`S`@Yq&&Ge8avXU<@O!vXm4VgW*>^ zprMrU&`9v7V;uMLZFrafR|NsILHcUFFN|;g!l&OSPlF@MgnJe8)GZbYqBf{%>R3`X z%Tr2tR+5e45_m}~SN3p1-tVrn2jK^krSQ$vmMc(2SG+@KU)i;F&j!3x09geke{jAu zj<4T%T{rPDiBd;d zD-ec#3ulZj@%^fK39rOV4$<3(bm%cw45CqNb?)@?Kb>j{n|nS+5_TPm6Syj>lk#k! z6SLe`hR43bjS-tCrVtQDCTzfI!y-+(_fm}^r4JkN%x6FN zcQN#?C{nCaG4cZBToVcKlM_OY``|0vOlOmp%tqXs{NO(6?QiTkGClU9}$>^Sr-LQc+Z&}`qS z?xHN&RaHwaFR(P2w{E=%zEb&?LC9NOyGHnu1XJ$B^9gPl66xLB+^IqiioLe=D`WRT z{vJ~;(X(xC0g!~7;A$$+&QWf*;qnEw?J+SiU0N}BLRNw5CZ2Wdl4ACd7ET)lGyNRL z0s9G4tl{QJIjGmvl1ZFaW|wh-d?s_~P1wz%dtqCxn1D1Tn8d(1PZ%gL$uIoinP8D! z?Su+V7C!4)Y}qgip~-=BJy|fgR1cO>b7ihi@;{40#IIf~H8R7^wY3hbzSd3(o5}oc zVRJTAfrb`d5Z2+iseTwb21TSc9`KM3SB`%{SN#5dx^~Y{g|yvxuMgpxESW3SPGM+Z zLt=Lqm=v_3n7*cXCpePR=H`~A4_=aW={wmb*eAW}@|Iu;xWOa!FW2OsjlK#}?<@(8 zQNhY3)(l-Ls>Nr)(Iu^Jj+Iah7sj>f_qVcJ>m3yRwZU3KQ_HKM9HH;)KwHj3cXs5G z*YOg9Du~yS{UIC_Gq05xD>fH+jIW{|PYNCVKD>+b*!@1FV$tCw38E+i*F0^TZ-_Ik zNR^T@0i^uWi#s;GJY@3h&<0Iy_a3jXl0oZc-Lcwl!74c^6^;;c0v7?aDuU_eE4nUD zQy?pnv%r$n|7Vpe-~+rg=W&Yb@I<|k1uxCwSR5F+E421uI5i8_P41kxZZ?J#Nsni7 zqVa`2uH)+_0wblvA~qJHI1>H$zU^>KqS?OmjBnUlx93l-X=~ zPQv&t>oG#E^-}<2IIoUXF&>|tJq0<64E=n+aZLg?vguY!?H&YFDBFG#{E80&D%!*Z z^NQ4Mji3{dlw+^ls}YI_06rCHWuC$F*1$#L=P8?gTE$^xlT`StDHi?eKeOY<18&Kv zzKY7TK<58Kxg&T4I)u2@-SSlU1hx;nc_7B+2I$CA8tDYgr(GB_wTw!UbfCh~%FNr% zg()Y!T$3_?1WjagqLje{PrSeI)s^JOV!|mT!24*jvvj~|(TEnUk;nM!J+Mb1qwp0v z4=wI`4ZW8=h3m<5z|LesM*31aF-EgIeqiTDtEEw_>z0PPw!2lz;>8>dqwMEp%%ZNi zcL}(W9|q6UVg4YDd~UzdUKZ@@T-R%6?FMpkCPl8Iw7$Vt)4urlp2?xJRkefga}dxK z==S$}KSxx=jX3jjD@o5Cm?tSpfZZVRwixn=?w%xK#4 zm^`~nd4lloBYrq%sHbnjY*CT9$C)TO;lMv8qUlv6Tkb zSASdW{+e}jTeN*0><5v}WLvnhM88D4_LTzFr3Ncx!FwF>ciEDW7cX}u#}Y34k(|u0 z6{K-b7{0&AtXfxM?BCQTg@k@1>t>+#4pQ+KUyJ!?oa5kAiancqQ!ST$p=l0~FhWR+ zBmft<^6<~Z2B;@;7?r9aGIeoG1v{<=<`{%@BFAD5>4#tE@0D+<`4emsUPuJp?op#& zjgb$ZuFY%_KGQe+dw4^s&_bic&&{k4wVi^`%GN2lnj#2bCcD}#ZwYsqWrVT=JY8o$ zM2>lMe}cNUj<2R)?b5uCrJnB(c*M-yuc2TNN5#uhmKuvtP~vlAk)%iAUYfvgMrA`2 z>ZB%~i?QyUmV#RSHp;hW&xvOEO71yHF z@_F17&qkOr37eUh8>hOKNGpYcXh%^rY7iVYFVm1FBKk-n)^z9OG$1C!yEmE^ELv|p z9-gCOjRIx-jG{sfS0-COv+^6=aYmklL(Ff=PH9{9#jk^Fiq51%|zd&eLO%<`hcnZpfa^?>4Gy9je9^p2_5N@R69UI5FHa;SF{@BNZ2SkDUYa=K)Q#bi$E9(`c!Vf< zB~)~sm2EcikQvArLZ1Gyr{?wcSx~`-`u0}95E+^Ndr5?C@=mh7Kc(@Mi6OuYCK zv|N>w+$VfHmJ*IZAdV%6E%9gLW(x*GDiq&tSPj_>y(3=Te6{o<1>Q3 zkD!~efIiU?e28N^^mnc&zGjiB3xnKjeIVpDmmaa!yoqK}WZJ@&7*OeL$9|N+|1Ujw zMv>oTbI6PrbAx~kHe(t2SUw3Zqg?r(T+0th&WtHBl`ExDk&}?WVYGPr-q^5*kNag4 z) zQn*1f+BW)W-&HXQohIzZRk1m7GYA+nd6A^M@sX6Y$mf~~YA>*>-P$_p6e6a_GD005zv+exFCm#2 zxd^J2O~N(h*NAG!1p8L{T-b<-!G?P3@dT^jcK^?-;;ZRq^HwN#RpkrS4gS8TH#q|u zRnhylKcm&BJS-Je*Zf1!>IDN8W?aO_0UMXsb%pP##UxcN*z{Evh z)Vmin*|t<7teU-70p`;}yxjHPV-Z3cC2N(2t!{gjHGb2-5%^Y%eU3XlA6Hb_lo4Ry zb_`hdpo zx^?c_7Qrscr7AOdCLz&fP} z6&+zaJEGx?KZ0mjU$1vs5!ueADd$V1u9lZ#@XX5)7Q!@y0_lt}`y@NF_F%L{skPuK zvyY*zY#acG+8^9t%%-8Ec@7A);N^v^Wd`|aYr<0Ef9OifA7r1tm*aCHV#?8clq$m%z zbu^9Ne;-y0*eZ@`RCMlrFY6py!k+5GLTSWvv?Av&9}NYPpRS*p#|CV}l9#PPM)!30 zDdF2V|J(0gg`nH9Lv_O`nSY`#6O5Ph7~j-$Ve(CP7%agtr8evFcxoPH>$SSxV1d&u zt1J5vv(ff?dAlkMvve;)OeAk$DQYHJ5!s!mcQfkYDFaMPbKq^-4N4wH)BT2*t;UF0 z_lj0?NL%V_WhLpmgx%2y+Nh-_Sw-uvocZ|Cfh(j0)Lwe5!jn>Nb}ag${kR#vE~?rB zx>X@Bt)3G#)y1`llak{-aUEByoQ2k10#p!!=7MT&m@Rql1q)|+FD707hqzK1Zyc!J z-glsO<7*~rmIpTP=z(}vAWDT0*HLwJn`2b2i6s=N^7q!~mR?q<(#a|PWW=lXi9gU_j0%}U& zf_ebcIuT4qr0O2#A*7Zja5WH*?l-bsq)tIsUEwV;wr210v9yvY9#z_T^+uiHAN{7& zlT_fbFL&TLO{KZT7kmUO7=DgYMHJLFZY;FQ6jf%&gQH{J_@`3(B()=Pwwh@`>FjuV z{lUIJZAT-oodlT(w#y*R1?~UWgIq?j)JT-p15p7Exh0}~YvEzP@zkrKpUD`3jBcZ+ zM`)`Q>>1_TDz9OgFCat`I6?K1Sd{rt_Vo}>UXs0JPNC`@AGD*HcTT&%Vftiu z_@w$V7#}G$og<`^*1R)`ym!Q*sdzYR4NpB96f}&y;8*3e)!~(mj9-{#Mb3d6l_C~g zq2Q8CR-+p9ItxF0E%f2dm5PwT=zpliYIlX=aGP}M@+miJ(KSJQo~V`6T{zB{B5y*F zKmcFbP2Ak_%tr^S7IyO{X-K$fxmYKfC%Jm7u3{teo%E%*JfY>n8t;)FI=+IH;uf%r z4xQdA0nNNFdcH>c*6UQXvwaNKQJdJ-!x>*zfs!in;~-L-C^f445qK^2IF?D= zW*VNiOg{bj1Qct&*UC%Nj+0!B!mLBNV^F3YoDvIixq#(WgrKN`KR3?1;gNZVsLCaqjN|TfF0+SlmFgH?4i`-{M&2=!fAk6@-e``!;0pyYUwhz zDc`wYAIh8RU0p?%|qEG_mHVxP6|=)_U^d(NK^i9YJ8SP_%hPP+)d( zQX?7@zF{YeGu7$BEzd{T#TfKT)SrBRyi3lco;Za~KtZ7-FJ=_mY*WC9`NG>*)|zY_ zLFWLA)q8UEB_3WGc^-2AveE%4jA{quv~#|&E_>5XHqM6CW#>tFRIMwia(GttG;*sb zc6aVl{$6z&$ou}q^>YpM{fAGn@|qf2Ry(GY5n?|~Yz8aqI z9nbmPh-Gf{X5ce1G|?(EE^ zUP;au(@o&1q*6LvZpa*+o@qWIhA^Y4myV_Q#eX8mvv%H2!O*JBs&7b%*hdDR7Dz8N zeZh$x+T4 zcxZ_t=7_dib<(|;$MM!`a|y8W?axf};K2sk{4L}*p%thuR*$}9@7i;@GhWgMfmWlB z)#65Ub)RjaRo;SBcoTJtd^aq(D+h9~wccAm|4kDUjg!c(FJ3(BiTim4&M?mRcize( z^$k^BR5X=CdT4E^2<+h|$yH#`Z4a^x(yU;!Di)8|D&Dj_u9v?Aiw0_!t@e1vvq?bB z)skq&H0iO(a+l;t&z}-WZ@|MM;u3PH+RmJ2NZ}z(M{&jl!-4!)8TLBE@(jeZo7;$t z{GoJO!cxUw{y%UAD(}rJ8-S!ZwkNX<>>7i3%JVsvPD$v!H z3cgET13OyLb(IN-N<|v@1g)oC5C?{S8Ru?`1#@maU1Z=`JmpKrTbor^n+K$jTaaIM zNBt49a!GFlx3msS9N(;O)g1mf1@EMuuXz|O|TXoYZ@MpYUbQGTyj}!W~#t)zB ziu~^qWbiS!iaJ?*Dj9(F!LJ{Qf#2R{Hox$Nx!s(Ntz zSJi{#e-rN=C%nW zrOKSe-6WvJqXH2Z7Pg;baA!YrAAf!|cUw(sGTQ&q?y*+4W-D_FRu}aW8bZ_o5AgKS zF;O{6==epYMq|T}dq+nGr$0 z^zXfXeWUc54}A|mR4+rY*<0(ER?Y4`(LqSABaBYlZdLBsQd8=AlcdwfrV7M0_` zoKR2o@9*#T+wOyygtcu%GBp5kUm3Up*x)0dUBLbY`;x@S|9AG4gvrH;!@oL%`;qqV z1Hg~<_Mkv}0Ao8)5TOGyTYW41Y5-rZ{;`Ra{DT+}KT;acbfBtzc?SS(YwbUWH*wE& zVlR8UBdDsX@MLDt^=Uk7sQN~5KtRk#D(eQh^s4@#YaeNapb$_2n_6vJYeCf1`%t|? ztpHzJ#zvpJsnUTAIkN!Ix|?IFH<(`n$r_70H`PEQYk0CWKO z<*2w~_0Y~dIe`73{RZ!_zr3>vW&p6swj_0jUF8Ui6=SJ;Mh1vwCOlemXb2fTB6}pALcSe>}fWvmmn#R^aK!E_*L}wWbOP zimK{<0*~b;ei0<4gt!5Dt+xaLSP6V(0npIU`1tw#;r3qb_%cyn{0`p2Y7p1JfZ#u< zwB2)lVAsFlz|ntUAdvQUdzJ|7Pk;cUe@Q;1WO-$&-mq4GnYR71{#8D{($apZ=6~4; zJ=oySTC?xzLVn}62F7uZp2dJ?wAs+Tp_cIPGys0q0_@k&qG)~kMpUj1aT!}p?>M*?d8Z8q3b&CdQM3WCc> zA@Yvm-(UKo0U9tn+kKq~sKH<94UNf)!~5q6vfK}Wy=D0t0>9f2lq+GGdt}Q1#JcYfVP2i31-{9;bTY3?!it)RgIO82Yte$C;O#ad&cwcvjf0A z=A*Y|Ke03b1p&0t|MmCy>HCd^)s=&7JE;?S(36IU<=`0X%J1{@zpL`keYvymr}v8b z-5LEumvUW~1Lq9d(e^FW2mNXY7fOfg#h&&H7SiSyV6Q{&t@UmB;x#T9t-H}jsa;48{P)wZ_QUawaTC_B_I&+pb9e-6n!g!dKHkOc8U9&5u_ zgGS_}zlArl>+co@irE_8IC#--=A}_tWMVD-F`D+u9{TM-67L1eUJ)TRO*F-hfkf-GbJz9!9KK;BAd`4o@PzxFCF9#TJN2e%c9F8ih=3 z5dnoWRGFT)HEq2+Qx4x8D&N@QihdO>(v$MwuTqf~PVjA%y6fx#L;JdB=nV=use_YX zGLDrCR1LFE3d_K|{e=Ju9C;a9L_DIu_Uik$fDNXiwxdCL+g|7^J$z%9*lwE7#H~_aIC$~(==*1H3q%F~`#`^5e^JW^BJV~IO zAFH1=-c1C1@Z60Oyfo-AhI8@llg%g_#eI(7$g)}LVc2rHcZhQa!?5Y7EV%ipF_A@! z3uQRE1k|+b+|b3N{^|LF@3P9au(*mC6EbWPRQ5>!fYTOTiTiI&;IC4xx_y&+qdtDw z?`y=rKTVpQ4eTsca?PH#x#=Ss9k`D6MVXaH&Y0^NXjM$)gYJh{SZ)Wlev(+Spg2(8 z8dC{9tI+g=RQG-vMvosS)9WV|g95Pu$~wgeyj zY&biDmiC-U57&@GL+shXUskiFa?TgO>>#<> zWE`yv7E9A;a5*DZTSzdiTnP*$NMFH@ng!R<*zjj5N~UF&hMTxp;5wbVi>ycrMef8# ztDb%~pIUIJSW@${As&K|| zkLNHC$KMT^6-H&k*d_1Ac*EJpAX4tdKBtIZb&{ej z*{J|>DKzr)1k66glW|D8b<56`vS9OHl&ByhEEM)5YsP8xQ_y!ah=iepqE`AV*yrS5 zf5YA$4Vg}o84e(;t=Rr3JJalv(b$M^dKiC3?LLPEv|E$6{t23jSUr$zUf=sXe@!G+ zO%9A;(N_dS3x!XN5u;3K?TW=T6!v;OPSkq>fFyauUjdZ~->MQR{3A9rYcZt`R8AWg z)2l#qtEY)&6HW0u)fx35!#KA#NoWb;+dW_=H!Lw4-sYn&YV0Jh6y8LmD$HZ%reo@j70q*KN zSJhZEXbm7ZxoYwZG_cqF4E1eiWfVl9gIaPN!IbD8qLw%a3C|Xaq&}A%(owmIRS=z7_0x&gR9WsntG%RTu+QCYs*u}$@9mXj{cx7I3hY|g6PaWTmAoa@OwmhxNqqHRg{?e^ z3GT>kthf-FpaQdh=>OE*e^>0wMG_!Sc~J;50M{NeN!C5!!>V|CQJ%Wz!g|zPnOBb$ zrBSD9FY8&x(R-#a@;6q3Yl_Bs1kz%%toOw)z8u1W%|i~xk{IJ}(xQ!$s7lB3%fmEb z?>-`5h8F>iWwr8>{=+&NIern%1*#|Z`rEoiWjB89AR(=Lljr@H^R|oj|3*dIq5F-!agtA^6aHnxv z`lj#ILH~GGNE!0y;LIvew*bU53IrSh6$&qqbq0dDG{R01vZZ^Oa%ximjFKmO_ZbVL z>oi)HS3<$tND%loFOIJ!Yu-j~;94f?vzD_ZxTMR;zRQHtO3%?u+nF2&WjfRDUhOm*cH_iP==%4A=18uuq$MRmCf;o_o{UsuWvxUU94b-m zRZ9V>r|>ZMg2G7bRKt0|7Fr3-+5|ZV+biWZ)?#J5P@`Io?l=XB*M3eL;Imkn@!ov> z5qdcMTZ>?C#nY^*TTy_|42Ez|NgJx!u~3$zsH$9fbPEWE+RbBIp@{*7j~ zsTc)G5(Ft>v(%NpXwFv*_+YEk9@xU(>e!e?1Je`9RH+>~*dc~(4KYH!TDaYLR;af~ z+Ql9*^~GN&~TmfeILFLbj=F z{QGIuOo75EB3-W3nB)`505|>}v7|#YIFss%QOWT_F+O}z5Ou8nDCepeZGe7T{cDQY z9QL>)CM_3Dz|TV|4h8k&)@H)We8NhwTUjK)`P@V)$885xnGD$Zu-5otLK0SP^&_$w zWxT42ZQ+WjCUWAjBP3wh<9JbMlD6ZvaGLD9gaC2VCkDk|?uuD*m^WDp8}HK& zVIh;w`j~+1Xw}FIP~HgSr5oce4g)>XPCGit1uqcZpzyeb*ocj+ zR^>}#n%V+{YR00^BL&eQMXBv-;ndMyaTu*fOZJAfWLlH*R9g>cycQ>YsElvZ zvOIxb&2#KaW{WCJ-jmqfs&s^nl>{yoDK=6r<3g+YCeslUg!7c8Z{$&Tv4vL1Iw9lA zZK_fpOgpDryt30i*VggaVd8_Bi(KbCli4RV-C@-S*AkC;R)07 z6n%@f88R!kijtLxT{-lyGlqScT{UJ;yoTnff|$87OW=yfnPtcO5R%}g)@T(SOOswh zy@^Wd$$7VAMFQVq=TfnS5(YG!8HHUQ;}r6 zrFI;f2O3#?+X*0U4M6tI=h2(VO`S48%3ZxT<4PI22XXHhADv29Ye$l=Kw%KP)f`G% z7_#Sx{>ZT;d5cPrzvYI&UFxpWCL{-@SLDVL=ZXa2Ou6-Zl#oAU6{4gF}G2~}VO zH^E01qzlk}`fK5*wop5Slr3GmvZQ)Sk<9H3^VZ7|+OwC$z1I%6=p0=RHEC&;_PqTD7KYV(<}$HWB~xwLu6n~+BX zqPynDW+*p=sMszeC!880JwsTgs{O9~(UC_nyuQQvK#2k;6T~LE=D;|g-;_WP5@=)z zfRD=NpDy^oWVFn5iO!en9e0RUl0p>&8D9(_%D!r;vx9)Dk=T~d#UKnN!s_AaEqm~1 zKg_W$Q79XKwlIYplj08_{lsQ&2vLotvS946K`JR~G939hWq#ewjug+b9JWj*eb9Dc zkm5V8fOY_G>BuZQC}!ZQHhO+qP}n zwr$(i`(JRX?yWk(4JPPxf(g2NR==ss=;i9CC*2uDk0@B=e1*if&uH~6k^#&Po9G=; z!qXHsd>63J70`5-ucei?`yM&--$HxN?#D9@G+Q?7z#U=_nSr?cYeL`y6b~%<8a{Id zq={jsFT;- z=+c3HSly6-t&ieRir9tU+VDA_%xt$Cdtf4S7HTsSO8 z@}znqd&(Fl?vjekC-w1NKWn!6rpcb1#8g@KLH;lkoLhls&d(J^F?gJX&YU}M^tlvV zJ3$&57y88(nNDo*X4JknucPQwwaB{L^ciUFhyWuJU8*3lK7enJ_5lK68q#MB2UYKyery{yL{xgmXyz}L$)8_Hu8SG>W zxcB(sF-m*{V^{YOjHyXNpf=(*hS`f^WmBQ!H2TXRna9yUu1i1M1xLI#Tz6E()eb1`25BPDN*CQtORed74e?(%AM2IdJU6VXOa&yHRNQMkeaDXT9=XLsF&v)XD!azmC8|R zz#>T`{R(iwfBZ;N7U&sPq|b$p?c%$Ry}h7p5)k>FPUG{m zvS37P45qmJot1XPtb(77mbk@IQVzb#MPSYm=W`Cwfuwks;+6!0BPxLU*ZJC=YL|ZH z;i*uV-A;`j;-pnUT`k~qTdCd9QUrmA%)6Dqq)PAyA9PTu*wbk{Y35K^J3)`1Y*F9M zqQ`s&cA=d+EBef2^}g4_q|K7gpf8Qnzl_fu4COG#r#Tvrh>|Y5(Z?8CX#rs-W~deqPT+ zHQyH0p|;EQmqLxMR2e4P56L;QT=%07vqB+b%Q%HWU9vUqKY1hd9&&z)q@GOGa~Ao@!hbfq%kuZxY1h`cUVy?Z zYaln;+_%c#g)eZGP~n`dyN`?6*ybcq9*asv3vOBT8)qWlLxDX;*aru_9e&Y0L^rrJ z`jSnzM$YmVs{HWQ{lbGeZb>U_`p6=D%LN_0B6*VrpF%vmGJSX`EG?c4a_v`QxW_lx zy_or3he1Y>;^m#)*9o|$k(2f)NIRRBaUoBeq*s?*(j0j~Pc-oE9eh7rMpHjQgFTTk z9ygz3FAivmi+q2=kGHSHk7`pNaP)7^zSk0KUxMFrK@yjq%RlFjl5a8PUL2oVWk1)S zPV>}-gMQ&S(o}-Jwe~FD&v%?!VyHQ2{qu|bhp7zUSK%|jUg{HEtIB9RKm`=RhS+dq zyyNi9=4U~1I>uojU>zgsq8EI*cHtMc7;dJiABtq7Yl`Xjl>+qa>#JNtlb@eM>7X!L zUH2}joKnnwBD#gN+bvIf1-{g= zUZV*)^$=Wql4`C`ku}feS&PW82VJ=?Bm!GSQ!=y@=bUrps=dM0#M$h4keS9Ay4K0s*VbTT<65Hc(lZ@q zv~Cb7y|U$JxVVW4k`juYY%gW=Utx{22^WKLF0YpBExk}WjW{55w;f<-ye?I2NC`W> zlzZ^eipm=}-ZjokKEFGLgRit;skpE+p?Lq8#3|q@dM_HOA z^?TGsm&!zw84q@(2Jo??vS!3Lt$I?WQ3yelZyGX?gy~UY`xeiwWZ>glK2ZvIkB7T_ zR_Q4wGhG+EPY{NvY@UTRV9<|AFd?f{TY`OxPZG#ABt>=x_%U*#@Tk!UCR;3^)(1$I z+_YN95S);w@(wER`bk=HRCWN5IAAy|gzdq+l#J(xCXLsRYq)2L%t+#lsO>P@2UF}$ zq&*gst=28Eb2TTcLF3{27`2I;)3jEgN88Q1y)seK8~HHZMA+D`X)B&mgy@ zBT{&#yCi6Oyby`@c#(jU*)DdwV7*mjo6b2WMH9)Ux+|Aqz7=Vou5^?vyf*bTJf_f- z$DY99=-gR<&%*JsXuNwDxDo$q)u^6YLyC@uw;Zx{rZtnD? znBy#xn3Zvi%MHYp#h(0)e*UO-^O5mZL;*|;&D#1#xH7Tc%7GXq2Z}X+)VnR_!HQ@} z2H&-!lTDRG;rlAb{*%jPIdycy$&S;*ZFOPNbE~$Wt-5X zu^KJ1a!lro+xfSDe~kaiknFF_{J8j31!7m_AHZJ|xM{-tMZ*KPj`Ut#|2Q)F;@$gI zlHiCJ{*h)QM`(~tymf$R3+`J-J8f(Rua2vjJ*L`_j5PhcN}?wF_6Mb+scCoNs*55$ zHiXf0;FZblPLz)M3W(iM%7(Uwv=uQsIPywb)AWkNrm2=t$J8acyil$0l#0M|CmN}? zj9n&Qm9_Q{5;t`tMls6TC(xO22g&9&HFb3(PG$~Y5teXdipx;FMHb>lyAJG>@J7>H zlwA0jx@UuEtDKBDHrWLD-@2F2RuTT9TLswXI|#q2d~zNVK85nXMGLZt6GF>$r3sH> zo{8OUq9&KTEk-?z@}(0A`&&IpSu`c=QOkEXWXL^}6dkbhd~<@gU1ozC^&4+SC)%E=bvQRM{%6%(24O?LtS!>M+6HCn zZVvp!PcLhGlkck6DwCAQo&cuKn~W~3qaV_)6TuMl8X?URuuVK5Gd;QZSv;$+;-mbM z3h6-Fgdmjy<6xpAls%pKo+ILktQD;kacot45e*K*DgB<(N9N8jZgvQHXLcZH&LR1Y zlW{VqJmol`HJoa)VR~Kcai?Rq{Z$I;oubrl-C!a(W_*oY42kHPblfVbh zgb5pmg$3r>T|HLM;U#Q8wCWR)=i3CO7Fn>9A8^Xb~&To2wRf!?=4{iWr!_BH}Wmwuhyc`1ft-3Bw`R2-;&EYSIvrNgXDNOiE+BE z+>GQD7Gwta%kiQcYBFLa=?nA-7)+N&dKzOFYD1Mq8f6vH-fALl-+dtf)}&HlyeTuP z4VO%H$@sD?r#-2|VYHPKWA)t+xEEaL#65!{wy4X!JK}`@v6k_J_q{s5T<+i+5B}8k z5*?Wy5OMaM%{q}3#mIS^R5d~{JB0wFudC3wKnhZd$cQ78?)c+vb7dM>H@Oq9NTyuA zv^_axc-A5B&7Rak>Ylylmx7q86qB}*)^zS_=4+PIDF7*lnPEtr?oPx8W3|50N~hrceto*`ua=ZXd){J3T~yqO0xUcIO_$7-a?%Q z?S4HUnSnOMq?l-j5JQ{Mbe+u#nz_zN_7c37TU)(x!$gjDmQZWr=USdk=(`8?IhUHg z!TFL&mc#-A9vw10t=QwGLh+d9Rd<^NiW}2sFIqqqSqUH*4 zRto$H3Sxh31IDhoert7Q@OwkpopjACWS(_%fl`aown0hpx*EIXe0UwXU*kfQqWyuA z-AAuYF0l5DUV`CdM?sq#b=QQ%4Nf67XoEZe8afE<4qvL{hO2UWvF*7Qh_D1ws``Gz zK{hFCDNxH%bNr0|rR!pa!MvNN>@`t549%#}?HO>jt!cidJ_!L&tga~TFQx+9{5+H! z#(W{FH|{?;jNfnn3q2H*@($(OD#d;iV_mo8dz=f^)dIKBi#hV#!W}X| zB&(vxy66s~UL6H*^?h$je@m_mrYk`{paLzPa=mutt4=q~B^!Cwj>W;QA{c8C!|iZ8 zbk!z1uBSrn?SC;;@LOWa5P3*+wGtK{8goL~ONn58XkfK57vVx!88d43Z6h7@kTMLs z)zMH7ns8?`*-5YN6CSI0irwK*(^eBa5~*JAeuiuOH7D+>k84Io>UwCiOzgk<>5)McMhIK+bYJFTWF>ep%TB zXL`7NQuDIW!}roW`vf<13E5U7ThW+=N~V-I1}PIme1f}ykcE~lo};Zt$FS&BGdBZ7 z*7MGp4fgB{ghmqqEZinFT`!ULGuDPU{hO_lJ9aBSf7w0X%_CN-oLt)~)Rh5peA4`d zueMsy`d^xz9E|^4vy+9Ht;9T1U> zZZQOgr`@8UC*-2mKcL`50f-*<67+;p2#7^)h{YwZXrTh01Qyke#YHDr~y)=xPf+whbJ#j&qu-Rop*WjF0XBZe&m1#aF~5t`(|() zux~1i`2dcgKjl&JX+Vrk;_csk{bbrvY{cE9d zKEkSB!T^ANxv&M|4}CXU_)NQ+yxM1CZ|aEjZ|T0_;~~`C+B+ZhP-sNH z;Z4EE01AN;4GoD50k%>7y##MQ{6g5DT?78upnd}zP~X2g^R)rAtP$<~f@yKSgs-o_ z9{hnZnz^_4-u$qCdx+3bK=dIfz}z9)gb5=4B4R@hTK!hnPm2(B{W}0uy#oFF>*oA& zX&N2_3*u#W|K|PP()9Gygg54&Z}TGmjFgl`JOF!z0s-oZ!yyPLh=>5grJ;a+|6&Wl z1;0~5`uS@wCA3foKFBq$DSvY6$Mk;AKCRf=1N_Do1r0=@!P|cq+C%)y0Z_h3-~Vc! z_vrrE1O6f({}$i<$cry;kDs@uU$%bz(g|lF$nW|f)Mq-4>Oa@S49WmL_LPm@^DLJkF{44bssSBgn(K8jWhh+hxe7qL09fw1L4?)h9k|*5E3jI z!l@j}l%qn$;PqGwt)-=F6C+D^6%RM$C~NY$X@SVCi0Po(?4PuSE57uh@MPgS85@6k zF+hd3;gh*W6*7CTRmSBlrtXWDP+?u8QC2^da3$PVvE9va=M#bi=jDJ+&?W)ju9f zF&EixFm!_Xsd$U@(DwZM_SO@VbE~`;j5SpYQQsi8^u)r4U7Zdf?|E*Hz{IlKw&y?< zjZ2P9M7CWz}2E6ia|hJNGG+|Dfj@CvMIL_Eo50Pjgxbmhf5mZ2mocS5X`&kkGC5-cE6w)RX+ zRub#L9#T6@N}^M@!0)wpQg-~u955&xF(g4b^}28{JDrn?=T;xIs0_SJh>5nNd?j*BEXp(LCPOM~`cn`PIwyL#y`Who+_bw|Hf&86D z7sU*&8LHwl!WWd)QAMc~Jh=qY-Ho|P-Ah@!PDe6yg74SxFORkd710V~*-WZQVjd?&T5{%T@v3o^H?0un8HLK=)G$SwllBC!5`aK zX>l)}L5QX-$(U$|$>`v&o6g^4CYm!Bdruh+A_19g17hkRZV0!tZZzedv}~Q!IUVCu zd1o$fKTaIpSz#1c7yUyTTkYhNFj1|pi{`hcAdQd>kd~Ob$3f&3mCr(jLC=g<^9yjN z(N8c3;=00*;f$uA;W4AWTc53ch-=`zdj7+!PJ)WAdojd_Ydv&{DJWcHdZKyj@9LwWO(POxsSs~ngrt!lHl38RtOK*VxT@({`{AN3kifMF9N;#dT851iwN7%$0(K^ zGwO+d*^XS4(eI>wgU00JMUs zA}>V^jZ+4QBjOSyVWwYg5OsRBlFbA*K;Fcrj?wQK8<-?)^iAtw`l3UhE*$}SBURBu z`s!LqJv4GAMK=@oU)xGW=@c0e1pd<7-G&%*L)}+g;*|N!1g=ec7)OYvux{PRj#M-7 z1`#LJnGs|VE@vwpKcA4ltY;PiXV{T;On81hbzdLBPrju5buV9pnk4?YeKmQiYM|en zvGLcPU!S`Ii`c};55Ey%*%=ZOcb9*xqCRo4-Y$JX*@eRy!5O|;sJR>FB}=#U?#c_!OX{;)GKkAPcc0$Bs4^(&oSCJM1U}qMQ zl(jfM*L?bd2m%N~r1DII$pBA^&NVKAX-QOR3gv0m#IADIC!Fa)ECd&;E z0iEeWQm`v=gcnzz#WgfKwjq&hnS_l{UXjZAwB_^2VYbcqNIrbT?Zdk@85%G1HnnZ# z6jqpx(BQm0ic4m+*%T)1d0F}?T+V3!jxx2m5k+`;{wd zQIQ;@{_z11F^l|Ipa#pxan`lc5@!k83CS`VkVAoT(V#r7OSP4ISco3<*0$#5iKZ>* zbxb}{KXFelTSbYM=Kjugy9)E|9`x0w*9eRU&=Q^TZB3s(QDFN8RgSpz(fz8nLfn7F+SPzr5BWmRTc* zkuv4&F-}RMm@Z9=FcUoF$v8(nxX5^q4Qdy(Iybwbk8nr&@;IPLRJdjgzezGMMyK$M ztl$cK^GTG+&;5-07c|c?cFC}?k*?1fbSI`daH+s&U`C0Vo-OmsK&b9F`XxPD6N3IV zrV5#?q)%3{(UHL;lJ%{nx_DHXfX!@YZz}T9EQFJ3if(6hDT0y0Z=I z*)nGRJo@^@p7R#f!#7i;pXf zi7Tya#W6P5M3*JhVyd9cJMUo0s&B=k)L2pz*Yn+Ojm!I*l0Z_CCfbPZR5KR(Ek<5a zr*7PmBtPc)iX5d1=$R8R;J8J38A<|g1s^Q zM(kF_g7#hI!nL>3EFaR9tN7{~Tn5SQglIH_wM3;}V_2}w~=3}jRWqzi}LP3=Hd(wSZq=@kQ3pH}j)b=Ntkb!r<+H5G? zuvmU%^qKW$38*X+JeHRUP_SH$Hg$dt{!$s~93qkxr3QM$v?N>`JN}mqSFH1r(UT;I zrI^Uu#_SZh)Pho;yN@wK{3=N&uLSd)(MUWfgM&CH+K`t&EAjaOF%f!M=WX^l!frIp zrE=M-6H2C}D*PR_?Vq{=a%EP2l2DFcN-+K7Z%?Hp-+WeomfluPg zudy6(MoX!{k$9c8tSx5l;rDBYI-I#M+7vC2q0T9=k5Mh>2qBOx(%cM;uwEE-Q>x5r z)_6Q4Tp&Hy+6wpCoo;Am?;IlG6rZz=IP=^27WTc#L=X`WCRcSthPDJ88ROD}3PlZs z5!6}1nTQ||mD&P`c(YB}#`TYKD~Xk9_XZK*e^_&LEefx_C9EyWp#U)GLElV5vSRD4 zp3{p1E9b7ug2f?LeC&kpc;dD<9ymc%q|mQw+n3Y*6AeC((L&W8a!e7IK))CAOGj2ALpipz5GiAl2QXeMvefqv7spHP;_JUEy$na*`E>>N~ZoGrj4wx&4 z$1(e4N(z*{6(Do@YCb-488h6$0#}8BfyeVus{&)xu7Opsc4-W>A=LNl4 z(_&meeVg_1mQ3SPDbtUb#l5H+CkulLLkvK;IOo)xuU-9Cg+!fvCFgFUX|ysI^#l@* z&NkAz=#xOM-Y6BFnFOCoYEd`4VjnUq&^KDBl(ywHXQMR`l?f<02BhzWR4>p*cJO#^ zS7caSAv0<4HC^z4bQ+FWp&!=s16DG8N@yd8AZuDp4*VW7Nx?->(B&d{yRzc@i*h|m zo!-f*>pU4>3|9~CJlqCvG2klrsl*3%p$-*`N7}G$RM`&0wubgT5o6`(0VJ)_vXNJi zyxb1cq^;RyIlXL}`Q zyVutkhjeyJslN?jqhMA&idWKqU0LY0Q(VUiPH6{L{NR{Rx!?>D z2{xU;F=Skl+e9-f$}L>+v$Y_JKf0e1b)w)vQ*&!hc5fX2;F+`9nmNIjyTzH|SFG<| z>xW)6oTKuUMa*DH8)oX@=xT9Y>L}dw~d+3N&KY^8f z#+;?gA*!N8#+jtab`qRR&&t5>Zf;mktfkyX%ZQ0+(?QGq=mgZIo!xjJ_+?yru0RT# z_@!jR*8)|zM5_G)_f*UBu3j^f^wcuC3>ju&Ue+SZS87AjYmFQ&my&zYYs=yDu3U~} z5FDE_XOuwaWKNGdTM$F9+M2(8-Te5e|$He`T>B%JPyV{LUw3}W2 zreXFJ?_oNAhHeGgN^Z?UqQKYkUo&!9Y0pz+YtF=x>9V0FUI4d8W7#`L&cLXnt&lD2 zrJaKgCtxF$u-F%G++c)b;<&oS?;_El7V%^#Wki0D!LWEs z3E3w^tk2+S&DpQOWt957l_R!9d2D6AM<(dDRpe{(rR|@$Y=hKH1Z*PhJi9g1=F)ly z4P&CO9X)EWw^4LHgeEelQh9)!Yu9iD40#LwGg!%f?D~;JT5F${qTuh9Y~60FIqpqK zm`zAOTC(p5HQK)B0wzOYd0uatHTRFm^t3e-4EI#jo2(~I_Y)s96jRTo9mRV}3_q~J zP6v{gt#8h7rCTh@lF;$GcTXcabxtPmhS0gu$mC&1*ggVK=@~YLmI~DFbeHUg%ZI^4 z8a&4RiZL?kjBZ(~rs1n0Xm3qqZ!2|X2mLWjR6ZiM^9V=o4eI?Rsr8r_9f@lA?4dUT?`A?rhk~_K*eyXk8>m<;|eTz zK&CzO+)IZ->#k@*EDuT9dlZ4*i5xeIxcl`tgQD9x@|=1APOffJ3y!ZQw3N&!58%{j z3RR{awJw)1nH6bv=*Nkp`MEPcNTkeba%ROXn78N)x&A}vv$ahfsB>S;$gCeLqqB_W z7<)0b?slFCI<;tl-o%TTc6LvwFsaSo6wTK2sJp&dEMnV`-*KUbaU=$C)7XH%9O&lV zi9+Ch-L$j%7>iR0xyc*GM1o{~L}4@7{6%dt;N&v!eL7w)Dh+OU%8~}&fnJ^xv68Ub zN93{_E;3oL{)QG&U)z*YdPL6#dgKaX;Oq6GxrD)^7^7ML;0+)GVtW2F7#fD_nI=ij zJ|Sx#JG480d&_)OpoUA}B?7}^&l_9j;aOEq%(2Aw(HA3PU){VmBJ6ev)O3{jd(BoU zdk(hdWObWa>trmGlda0&J&agm-MH$}(|8QxuT!nVd#%b`Ne{2?jzjtm#YfEdPWejN z9p9Xnjj}u54wqI!Q9@n!35{g5Je3*yg(piN{`I^C3@mwUK*AKZD+%!*t&$+U4?Hu- z5T=v!$o|P6Ex$(#)ErzV873e389MfLpY{Z?u_-ds9+v(G=b%3%wW@et&6F`3*a@H! z9286M7GpBx8i9;Gn}gh0IFS>Ujqi(cGe_05KoOPFP|q8m)D5*~5YeI8v+ev*p<3&1 zVA~?qo91=9su2!teTIV=s5K?9YESQNBU<<`|F;SK#C1p&^!XO`p%b=lTh7^iG+NDs zDF_q#40Ub5G|S87)+4!f#aCn!EqG5U&)7kOOV-KZ!{g&_fOR~FPV#H`&DecZ;0J4w zOn8>f(}$E-dTE1NB}Sld=d?ZJuqQ8n4M=jY?a0h%@@y~p8E-I34k*k{t08r=cc7QTUQ z)j5SsQQ`@CE=u2*a3onuI(3~n1$tw0j%njKsf#0@8~(4*^Mmd|Yt$_v-Jfb0GX2WO zyYZ-A;r2fSZv{`epw6$qY>$-iNthQ0RhVi5@({pVx3lYEl?+o9hIY3g^0#>=YQG3k z=tV?rrWzPti;qULdUM0a#eIFO&{w+JVC)ZN6Mrsm<<;luIB%r_b(R)KT}R^7=$*FH zuYF_iUYF`}K$oNgTponmu>+q@irWb{Q%p3}nfO>>XHzTbU?| z{_tGcn1NVQkGEGHTj@s=K81I$k`8M|x0YYsl@rOql$1d&!$EX&e#}O&=TVN>P2zjz+13$SKW^ zJL_{*FeNt#tD+)8{IO~C52ptyotjymXej1muhi}y@A4l`BVTH^yBAF<{YF1+?6U8n zb2TNU$VPA$aNw4Nwzua>k6xIBE-FWUlaMnzTlw*?2g|e39;D5!@jv^lkQ4_p< zRn9YRNM>8nAkdenYp;heR)E%<2?7;op$F>@eQ(8_=biN5TtYIl^ zR<^dsJB%nKxuH%W2fJcHn7h5X`02it-rm5!|LBX9+U?G~I?ex$g4?h7`5BfITuvAC z&PH@N6M>B0=NJNpbLMSG|?xgan#U~{B39RnjG<8T^J2-fpBLg@?bE;U4-f~dKK z$5>s5fOx;Ls3j#M6}Zu2?^kzj{PGY+jO!oPpQAjo(LGmzd9CIcz0y)1xobMh&a8zO zDu~;t4pq7-jO@+N)&bnYu~ud#fZT=g<%vThE=KYI#$4YqZ}vs@XTSYtuK#ph^nKSm z>}||dcCh@n3P|^CtzrfihF+Y=nKYbQX<02v&*LrlHZI(BL`sT?J7(VNvO>CS>HirN z1)WW-zhidLd}SZQ;B-y9{%u>8;~?BZd)5`VsMgFA$|(tPtoX0`dBYm8hl3|oz`p-h zyESM#R|+62^c!ewX)7A{cN5Pj(`;UggG&;FLVL|=)js}fc8cR9Al@VUcflLc*-6U9 zBtX)nw9%~F-9qsvcZ;m~0VUiI_Q|gNqRdsFQ@%^%Y-H3qj{SE&W{{g94b@ndif~lh zdY3SGcr3UAR>b9D%mIO1-WlLoEUkXt2h)x@nlwWc5j}xyh3Ff&J@n4;ZFLl_cc0+5 zF!0sI#hx1xpPZ8>%)9sBA;XIbS_Uv~t*^FtIpZ9Rl4N1Zv&Ipt&adN=CzOdG%#O!$ z@eV{l<>pQ9Bi05)5oCB`D`b>}=J+SvoWO&u#dupPw^b4_*u2(3!naRT;9bXZbDvV9 z{PcNyU&1MT!z+#ZyP~UMoZBn4vLF`AK4qsP#%C=Y6`uIds-t1^d+qU*MbJ17bz!<- zO;esJ_+b2iajZ;G{X2IWntNwJL13WgjfU0X7VKh{+AhMNdc<=x=33)wOQ|kzVN19V z`wTcC*V-@Tpq+r__}@2Q2E*4MKub>Y_x~0M{}=HR*cn3uy8QWw+q-fn*gF56$5M@fcS<$wj8;pKNf(u9Tg?;`BM$T6_T4|Q3D3z z`Tl+%kh|ltAF)*tCk_Blz8F^k{SZp9UAP*s4+_jYFo(d8>S(|W^n6QD=WpNB9=jME z0}wDDK)f6kw$?tGe;pUb1w^Y5#@7rEjAHT} zpuZgGk7{lO3eZKY^RZnB*DnR)8x?HD1T?(`XL|w?NVxOxZ&D5~(qFw`^A_}*Spytn z8~F5TEesaL)aI!Q!iwE&9~onL1h$aqFAWlE@DJV;S`Y}tLo_59L<9f<9bkBA67HS4 zyEl#bm>u#Hw212d$sv>**jipx;5(lUVHv+Sj(QyzNPuXY;6K(+*83Ye9|TB!s3sv` zDuNaT%pd=P0>kj>9J}Q^L^*kXFnS3ug8$pvT^>7ga(DFsgLvIv`d==+yo$Jtj8e#z z+{mAOW23#CKRmkxLO(4P1d#u`JiGxSpZ{Lpkay zJz)J`3l5I|f01x-kuvmuO8mIAJFr`|9Q^!G>#|Sh*AD6r_2iHA@lRG_VP@fhedago zkKeo=d3oWA9yr;2C%znX-oI!S;B~K5j?gbv71$8g#p%;d6%o~o*I1l=OA+N#11M@ zGtV!t3ZN-a>u-~pPmmA*BLKkb;HmIrwu&PL6jBY^3orxVuzoD z%7b7S@zKiQZ{S@3ApfRr3n|dQy}cmxkDZVJ3P8x9ye6bD`96-7Dv-Dm{*O&GKvq6I z>xv&h0stVm$d*=md7jX3_EW8`dK&>k8L3Y+#`0uuudj{*Vi?&lgr6C*4GF%X4#whL zfll~r;Kv5R%c0{!G+V(em>|*SvL!BuOSW?{J?fhI3hD9}<>tc8peU)=Is1!0lt)I3 z85lh=#VOt#DyOP3Y`dceoxG+MLClJy=BD0$GD;;e$Q?J-YwjO|3?3O@&Nn92_Gq6% zXRhDQai;-IC$K#biZ{8bY^m_*xH0>Uz6d5`6AkfK^uGurNkp;=+fORF&^pG#{D!ke z*aa4J-72yM3!kSa-VB`_%I`6|<;|&Jsljpc@g9|orZ4193yMQ#6)T;Ebz{)JsUGRb zF1e>w%4nN|Sfvw?@Z4O|)}YWeNO=jnJ$m360XYHl9VOh_T00EfeWR-c{ojk5ke^Hy z$M|xrY;SX~MgKdo#jM|`OD|N5oIqL(iCif?x<4O1sH z7-AhbRLB;VI%0G-&7~upYtlkt)9KDqpeN!nW-q79)R5jT!KZ`^A9~lat1>75IWCEc zQ#)=vOxk%;YFwKe0`S?%FCg*Vg9UpYnE@)V2r>pk#u`J1iW)~8g?&2bxM`>xjVIMk zuZ0aJF@q42O@3&rf_zfjk0}t=c|IiCqs06?A zO{uZXnR3Y(bo9*ccFu1aStj4Z6+yW#Y-IfAt?^3UTrY6DVY9zOt){HM={z3Hf0j?h1q4;K%AzGt$G2oo4a!)e_QkEa0(<_D4k;4u|&of zGKPY!rvC?7^e6+_G#g z!qdkY!eBLsilauNLtGe89v_&L9`e@&KJe1|H>8kf^ndr9m;|K?wpRzWM)fW&;O#BL z7esKA=AWAaP@|BO5)v3!dPh81kNl)ql?)2XWeUpHF%H1Ucap?RIV4lR+C5E7efGttRt(=0w5%Itl6MHQpl$W`#b6%aX-?VI%vJlE{R*K;_7TCC&I9HC2HhbqUp1{gEKi!k@9qZEC6UNuyq2 z->4hDXM>?#?sb^MWDVbY>MlOF2gWi+9^@EGTx5 z-Vu~63`x$VX?TZ3VaH%3ti73M-#Fd)v?~Ms-M=*L^~RSmqbzsSAwaQ@RcF^io?2~K z8F-;eZnc?*u{#_F7T9t_gB$lQfegmspy`E|Wr#3yhZ~JiGD`j1&n1{-r_Bx*(&K0V(2 z;rj=wXeWjIE_Sgr)obH4JTSkGVW_TW7h8qTT_R|zgSpbq^3ofKylJCw=gKZj8mx91 z91{sPQO6IAI@^cUO3$O24Rmib_NmUc1x^`4dLE7#MNO8-3|@6EkDuo+( zsMS!7j15;Ov8hDiq<0$;M>1Ucw(1~1%X3qEJKjT|GIzis{rqteFY{-e2_xq*n?BsF zK<3j`$C!pmgsSBt5yjDQ(aTL`Z8p17C;xV?*mx)PEf?WyZ|pkOj@FByG~w-0t0A+H zbREisP#D;h4;(&9x>Va$^!sQn94*2~f5yp^S$VksV0i_Ir?|p{tju~rd}VhW>Zv2T z1WJ4pUJh9!_?y{5N8;xEJbXFDx@jR{l2j}VoY)MIz9uPE?wPyWd_vA5)qikk3O<7u zLjC0Ob+f7aX?bMk3;^w>0{|`$rrt_}LT1Grtb2^P628ram>pG{`zw@ z+Ri`~uAegPLvG+c;nVq)Z@&Y`i|SO?f4WeX>`0si%2UOYohGHgV*zNE_ncg+?N4Tz zOoOK-$z3qhDW(Z#6{!7r^ITyzX|3dxZQfRPVNP#+tZwbzmxM7CQHoShQc9LcB%_J( z72I1HiXZtG&G+9HCzkWrOZt|RNNGEKH?O z3gyqytUvGC719Ol8p643?^RGkP=*v+=K?9OzCVLB35Q@^*fl}oVgVhl9cRRblBh5X)Stce)n=S>xz`x60OssdKndoUgb~tO9lg1nq<`SF~p`WDDpg z+QqD?;u`zHxI<3ac}4V52qP1ebS2t&q%i0j3f8{lF>1J^^%+^!36ycs`XrqZtg(u* zQR=M>rNQb()f)Asiva0^yHN4k1JZs-`A2I<_L*w=q~@BVLrtq-VRr=nQFf&ftSCx^ znztpTB_HnH_sq%b)RgsVjEfwu_W)}?YLJ|x2hTsEn;Ou%>4#;ug2;H$9o=1ni9%K$ z(Y&+phKU^Q>ifG0SRul9#)v5BI$ib>fPa^MdQ%GP5=b~R7KddP6{WWR0HyhHJ_1P6 zAgbavgkIQkR*%FFB1&1L70Hic{O;(k`s$HwZ5Jp|FC%tzD)@B>A+`~Y*O{xcB2*a5MGc+K-q3+OPgr%^_eX#qx^ zy_-B=9tuL2oxjoqkEC%mG#P+V0exbRV%pg?JIseSWq5eM34my{rNK_l^!C%YEYTsP zg88n3+f|?}v5Z?C;{jdx>z3x=J0Pyd5lH1RTHZ{T9@wv1%HKz3N+;o5y?2IT?|{I2 zy!NLS z#2M*~P2`yPy6d32v~fmbp%AMq#B_dsBzpPM>EY0aYqM0P(%1qLDT;kaJlfXgUtwd? zUqTGFUVCweUkOX;%x?)cCCC%K6542H^aYhNFJ?&nvTNt5$UlcCn>lky7`rk~y`bxx7<^uR0a7 z3n*QGT<)^+!2867#@fr;Rh--#4;Hk}cr)r+II@S_gn;=qGPhne=q0}1C#43cf z-~|DTcUX9=ty2|dXO8F`Z8lhNteiy5!!BvQm)46O0_(mC;DLApr{}RNfM_TC>$?|S z#TMOMVVjbM3oND!uT>nih#@nAam9EK5(i-dT*i(`$?2ieA?9Z{l|ObrUEqS95LRF0 zg2!Cmba8@xdoDzLKO;Ee>%N=vXh0jPKb#9=BB?Ax#W={u7-u-tjINHZt&;1a1S)+B zTuL0>O|d|kH>L20NFYbIUKd0CGTbD^K2!jx3iw{gz*DDy2HSDORVtp(Ny7r z?P-wT&Ic8x8#R_-)jFHM=QE>_ZjB=uKp(l%qwU0nZtdg+2cF*w_Jc8<#bRukwq(4* z-59TBGkc_xNVH8vCDN1)^NX+f$euV(&JfJud4kN?d`ThuGObNd*OX4`lDDj$HNF@> z7)xhlH22$kd}SFw*Qe*B3_#8YFUHJ1Qm3gWy(vZAUpMbPjPVxzM1h{vpV(5`)pC#6 zn;H*pyZo4Ho3&5O!Li+nF%lCKtqj`b5=h(P&*)l3K6LQ4r|J?J2@d%dt zhoP#w(OOIN??KTz1cM6{7cEqc6d!M74HQXAdpEXJ#C6-uTL-cJyzgM{GX)y;7$oN` zSI{4v6o+Hp>tFmN!)dwMqdd~Q$;KK`Hjq44-H(C9*ND|(tD6zZGcT5NyR4Ga$ETYI zCFeTjB!p6}*&_NzXtl&r8|QfwUb{RmtDrl*aK+8{e!r*gaY4fF#{x1N@W#|`ypV+) zzv-;bX%B;aHGE@nzkzdf>95g0??yr_C2mvddd~c_ND75)P&4@1QR*hU^GpcKJc9Q1q!nzH~flDO_RanX6XjE|;=krfEV`2oLlKHgx6Q@Ap z#{*2*xe{;8L%y$~qtlC;BSMwzWW)|}x2wjzv*-1M`&Uh+*t&P;sPQF=?aijKYpXmI zG#z*OoLs-1nO_96EP?W|Cl%OZ?c{FnVllDP)HNr$uD=|99USKkyST0&IRP^*v!k+eQQq0=qyarzm6#2nY7H_<2;-Ahc_OphobJrg> zClD@luqrstr|5ajA>kFVc1hbqrva8oRA(ljp1C};z21#Kd{O&BY|auk%Z4DnDk$s6 zRa2yThRI75`Hlk+mW-4*Q>=psH7amWU^daO`o4LgT~vT%%bLUFR8>R_GN5r#ib^O{ zUe832Djz{?i;3j>7p}9%Ncd43#fP3_IeR;oU;5c07&$NB3fGCjD}}$Z3~Jzfv#U+3 zO^Kw{I&J$P;TVwPIfwf<_;f#}C+h3VTb|lP37*t(F=B!~#EeA|^@G*Q92@s**sbqn z24%f(cT+q7Hp$;^q!4%_hF;n_I^U=+yU_K^9p>C1=^8VZ)Gat>=f@Nz$CGqEm5UTi zsl#Q`*w5E{MdCY}Gj=q9QiAl`R!;lK0vS-Urer zHiw)~=;%RBT}|0LdL}e~V*$tA@W}tZdYIqmCXDfnHRr6AG3YR-PP8If+J>!iXZO*r z4D0W9a1Ly3M(mKAgo}RQN-`W!8|eTML50+HTSOOGxh24Nh9k%9oV(Npp(Xm7Hu#2~ zzUBl(a>#W)jp_Q6)92+?*d2uKlV_|Bf42}>NFAYlcBxGHC*CRD29);mbAnFsY+|@@ z@7U(Gs_tJ;-ErfxLUnV36R=%7UVLb5`&_yGhqppC>%aniGyh-=f@}EdNwD zzIkQ2g8NG)Z*O{y>m;KsS9HR>J(73uGix!e!q%6yS)5VKH%Mt1NuY3(ISZEV48N_l z89neCVklF$BrA;a9gB_nd z_IL8O7gm&hrsM^x8(qZ8$+h>HZO%F!g3Zk(;V^>y0c+>pQTcEj50pjdCOBaBS(PJl z7<-g_G=j<5;#>f&C{b{<6L@Zh>XQb;XwTR*R4Lp^w_($Q61Q$d`Wvet6V2kwU?*faIvY|O zYJ^!g_#vK?8Z|pz74yjLk5;Q%LsEnno?I7f_+)?13UL*=HZi_f(ae#gf5pI|$9sQV z(tSPs7f>t7&q;fzCPT--=>*PV2m97tPJ%z24k_I?uM=6V%coY{mnj^#wd14eW?0L- zg=SroIIV;UV z4o)^@qcfF*i%n!TNnGrqZ9rZDniZK>Izdb|q=U^g19$e?FIaaH`SVa7BC2|+mt|

+|bkf$ncSF_f4Yz0!b%qS0x0(%qPIXfJ)GX|*4qEfCB`<=5&{0IE83avG z&uLdZ)^&v4DTckf&;VnP6n*JD~ zAh~Q)M!QLZMZJ3Pe}5#SwhiS5><}eAgKT6Y%$a9|`dAvQ_xp0`bo)dV1}0yhc!#A= zq8Q!f043)ldWrz=X4L#F7C_D2nEKJ`*##KTjJb1<7@x|vTB;T4l zBuskBnBHg&3i|ll)4c+yfdx-#RQYv)lfc1`Nx(a@BRn8uT0o}0E%PFB>y_uBqd(!! zch`G(;ewLjfV?GD^wK^1DVjMZ6&cH@xI&?A)5j(2`2LI<6N}JItSjn8_jf#gjEBhu zWGd*h1{r<@G6g3@;;J|fkJmU4St|Mf9|Z!ycf$%qYy)#+W?!1l(QeY>bysGju){R3 zw@40O^q#LVmVM)JoB;DY@yswYE*8Li9V^uifG%h&mBK^av>SxCb^E5UmSf=+9&yIf zw$`UpA29Q1;!xD!yS3I1xEa%5`eB4tj%1!(oFU>X+`b4~JRETp*Pj|> zdE%S;#)4An!7fQZr!3>p=$m;?7Y042qr(X6MY^V?Td_kKn7fNghdT|SgJ112=2w-F+_6sw$zSh5Dp)n42puW%e@d%jF}!(QSkWrsEmc67u)eyfw4+~PMAVv@o**4rY~ zx?;GKaEFP3%BKnBdkQS(2m2sK=5XvM-S}M<{WB*T_qH`<_kOl$TJyJmkKk{wqC|dV zP@$bP8)slNrsgGB8xgnojPM<>IS^EH8fh)M4!sZ47y99OMTA}o3@6J)!d_PZP6_$F!P3I)|4LYwn^cFf%dy7yE;W zfRTgq|40S=cPX0@VJ+W&ln~@FmBm<^ z&T01VMAjjx8Gk7y3lvlK%VI)BF14 z*__($j-lQ-ClKaOlm-|q!3LhiYn4T5>?gxUk}$3u(9%L4b)QG?5%5ALK@p%Z^koa7 zMF?WpHUl?wB!B|A67CK#jF5+ssU$NsZtN#Tmgx;xAmrEw2jj2d$Bd{RN)#8CXB`Pu zB*YOGm=3I$>qn;qpO==Ne)gvgc*RQsf>{v64vZ0QXq1^r5O2?)$p9kJ2VE$2rk}x| zGn^z|B8)&!L?l>H)#JktWQ4u&`sks$WnQD1>%Ao#=xNge`_ z9Voo1P#AsC@L4?>g-N1zPZ1iD`s zidX;u+f*Qc+6WjCTEsap!9W7AU=GCacRvEciN8OGet{E$zPc@lK-XaTkBAH*O`nJe z;#A_RL_%o)s8wv8l>#5W5Cfv1ZZ0lOP}P&!TmkAJB$fGh^31MAM<3a=rV$*;>as~kT9SglN>*kK+11V z&zF5jy?hY)H(0JZ<9Pq@{PLvDv+|@~G#lGr3ItPuLO?Jv<*d>Wu@FDZpS5>y9Cn19 zibLBTIS6b}8M4XY)2HI2I7+xPIovS3J8v3v6f-)IGaup({B$wX1N@0!*;mNa-w_A* zq+iJ=U)3RmM>k}bZOK00H9@|qL^-0XVIGOMKYr{i?sYQ=&}fgp=FS5GUtm@71Uswu z{X}3mQ1x5-QRC@F<3V@>>%ZN#|LS@*9+>kNq5$P7K#D<_WKLGW{?Jf31%v>E zhvi}106`3`$@xV?K|Um>r2&zkw_6AeXh=Kc#`Q=Kpg;$|Rm)r<*6u~}*ry?&KrupA z|B){dJ$jjpAI5*IMwf=sT~UfwuH3=LQGD?+s6~9RFbbmmt`!_?WTagwj`cMB`7qkS zwpe*{zAI$k&8!+f`=qXJNRjf?T}~;i1>l#~`ub?D(EpbIu&gBRJ|2l&0cQb--k_hjULHkq zA`Xcle!T#TxZt6|-2v5W-}Wq3*<#sfV{hZGV?Av25IL!vcugptvp1sE^bTB~K;R^$BHZwAYXzn;-soCZt669`ef4^=5|MFK49XSNu@NO9Ltj4XoNA=C3V!Q%j!~iTF;9O9 za$C=@iFek#x^6|W*w*tabEh*=!%TaK2;=-Zh|U$-7qEuyik>aiNmdxGb49J#Bem6h zoVs6@I=Fwzd%J#9eldliE_K;sgB;R@mz;(?%BF>5|5~m_iM{zar|AgoQDfYKR&Afb zl!aakXQqsp@!&R=$78)<}epV!bHq|0u_jm;bq5ZcLVx?t+IsOsx?sn-VYFM3+uB;IQ7^v8+H&CB~(mfkQo zRc0eoAN)F}JzX#P?dJ~j^Lw-kayh-~Ck|owSc-o>u`2-<50s5xx-K{5KddtJLwiLP z4x%bD@12b6fHmf~e93aXWrIoiGMeXFT89lkf7bMq^v3TEP-|s3ve$-jI%f|Z!Q20s z)#`4YTyp`4QS(?gutlgzW+cX~-xC;ZUN=xddGGb?4F5|Vr;VBZu@U_B2*e?p@O~}m zU2-g<1z(J^q>H9w$w6Gh_cRFKc3bd&73QU8dv}{&m&5wj{*)x7F{A&ynonsr2+YF9 z5*sd)+Q+r2)Ejp>(XTE}olfY_7&NyuKDd`ckyRmRXWNbFm}_e(8BSeEYVdm5AkLsx zw0+YYaYneQg(WHhQAxylA!h z_=u0kENu>Rj~vzXWLmt_;l;13;-a~(H!{VGMOev7FB`?aACb8Y&CVtHikOj}dI7t@ z8q)vjIvs+C&mgzG&3AV%avFcEse8e{Ov;@(6=`k;B_{YP5g7};0rynVwkg4mi#=QS zpmVEZP^lxFfsXoH;c(5T(>iU{lQ7t^>b(QqgppEzuL}GG*L%TcF3#=(m=#n_mpXK(<8;d24a z#k;__j7z!lD=`ni>>q)+Lht=$tLKa`?pMM zZLFP_z*?@$l{UeN3rv~DT!4*8l)C#Nr_!7m^^leB334RV9Q&2FaYIb4LG}j$b@jHg zN<)w1C@##xy5%>?Y0I<5V(0c&^MLC$i!xQ&dHLq-tn-`t)5{`5_wg%zG&Q#gQN5BB zc*}nvIG-y#!ax!~Y2d=l>V1iyhTFG2cGvYhy~AZ)QOH88(D!Gy?!pI5;>XAn= zXBf?j@uf+Dx4|>K(9!JntRoHrw)#N5(qh0*9iu?4-qOq0Q>pDLO{&64BTw|@rut{~ z65aZrH!-cJzPSAbNBsAY-N`hF?=MfQME7RR&(XubiQtb{EosfURNdIDk{zLYNH8|G zq$A!7s|5@P`PKfp*IzgIGxmzhR3b_(SN{JknX7lg?+(50`B zARncU8@SovU$AIwr}zH^oZ0^qaAxBCKRR0ffHNxx%YVV>{}*s(VgCOCoFSEwPtjB< z@(`Qy=z$`B=oAFTMyMKsRa7-lx5&qXV1m+VkO@o_Xo!-i@Yn!Fb2K9lCQQqdi;310 zQAiX;QSJeu3Wzd^2zns%R(f1#JjqXGettW5yMJ|hq&4;rZKngsIh37m=d6ZrOVPdhF1C@M2I->-};f% zaR43t3-tG3g9jIr6(ms*`ou{V+xSNYi3u5DAO!sE^p%C&Boydqz=jU{cBhf8kOt0J z)*UnSK}F_cG2?U;8W1R%JMVeC27+Yp3IAh3Yk!T`WBwRy_jP;5X5k}3&=fFQ-* zgb@*l{MJAWs2m~M>bw9&P&kxwf{4X}+JdMAK_ZaMBN#+dvlVKH(eU63+k%S5W+4#= zaSE=PHlB5&&7X+;RB_spkDS+TW+wUL3r_=-z?E^rU-d{WG#p>yb$AIY*<>1gC zB!rOqz{&PA*m=sv=)njF+B^$-!SJhj^X9rHI2s<7_rGHHw&-C|mDl%k-Rn4y;9tkV zsiQ!!wz2?=nm#M>Gp~`S$>tdL!5jq_GJVMNb#W1P$EZt_OFdg0O(Hf$$>VRt1>2ic z-@zc%!Z`C)eRt`=%og^-_-$P&)&9vGLRI)lo%qd(i&Q2^W4ipa{yPX0OboQn(yu|~ zH|$Gpo10Ue{wn&sdU?B9a_rX<&6IH2> zSdz}^H)JRwR)8#}pONnW7pz`do5MmX$WKg^G0P56h!PLlEiJ7GBP^IS&z+iJ0o{O8 zu|91rs=OW1)~D-FH6e_6KaS#ME{2(~&|mw3=K0Ag()f|>*7OoA=fGXq+4Y6vD&+eq z*WAMAPQpYb%2$nL*W8k>%ef1qocB8=b%b=hmPdOTxd_zu=BEs(*llx^#Uc~t74rKe zrd$tY73*#500-f*?_-}{QMk=XSTyW#unw)5=MK$U%HFpZpk6)e>tu9g=i<$OEV3qA zTG^#!Br5e$DmpHd`Xg8BZB=QoYujF#RmXGhRHaYw#Vb8$c&KPo;y(^4JiaxAPZ)eJ zTWp=D9ql!vH)I5*PCBkDc>Gnp|CVB*E#R@n6w5fXSUOAozj+P{DPdhBu3TijTcQF;mzl!gMqKrg~9M3-l z>hU+iBKW=20`oV&V;V1EEa!YK5>&Q{iEgv?&^U_AaG5o9602D^c0KeNoku8f=?cs4 zvRQZ|ziWN_%nZ3(fj?L$Y=Xd z#a%wT9{JYRTSv@ZSmM>Btyvaz5u&{=aLs-OeXTjkZFHU;VsA}8dnSLY7~Qa6_6-Ade7t-bVCbLnXGdqrTp?i6hre*NvE6hKwa+?$CEER zqq)P;5A-{!g<_?9Pq`PzhEK1!>U@38h#j-7R7g8xmPaYqn%E00nX{{{{GE^^hNsI- zOEH>nzrCRm$l&5kj)6*qo+ctk1kMd%& z)wM$QsU8|pccdSrd|6X(^)dNkdcM^*`@8rJI)1FwQtRUjMf}n22s>UN&WaKb9bZSUZWs^L;TwO;cZ&v6CWww?pZ5X}U zY@t^!C*%82mxQHwy6cTy7s>qc-(P|4g(S|UH#J9(ujJOWrkiluer~Qzw^qY}B-(M` zp8{P)V>b1VA#(E9<1&lgfe{=8a)vesFWW|_TQ|*=3=x&)dH}U}Sf}fYG|Pgljv&WC z8SIGmW!0+J&*|`rH{7Y(mSgh2e>LSMCeXQPn%6m1^-b#Sehjk>*D$uWXM*CO?jNEPK)4*19n(rcK_jx%5&$Z>H4=8-&nX0bf&+O&`xD9OCJ4%+zdC zMyL%=(f4MXRb?;_KQ+|UU7vKUrX(-Ce=aV0dJMu<1Y%0 zyCBbB-kfQkWQZBF*SJW)+%{0_-17bmC^$e`@(o8tF!v;zwi>94h}dHH%1nB*ecrW` z`)W(_7RJYyd361vZreJ-H}1q2_!E?x$i8KA4kp{W9ZWBkQUIu zdo9(KE1wPxZqAd|>V)VXqz>zm2Xp=Q>)}1wJVw5#r0{p?z4l1C%ARC@O&M9rMXSjc z4eutIYKfp$S6I}(v<+rS?3&6aJ7aMxXqC-yH4)whihUmXmeHE7lQgHeazh7nXeV4* z(^GzeRq}P5PdJ+ROqTytY)Rg#XV;`6d$xb=CJl_-{3qbY`5%BE2lIc!eN4>kO#c!0 zadI&IPZOrzDrU+`kZ5QMMPm>LND*VeAi|I&`N0zKIzq_i3yP8qBr-@+MKQ|pF?j(* z5LAjNaRn^q1r!Tn@`8PU{`pk6#chD2*~~XNytkvCyWP9pubszPR0TXyK1O@;M8BUns=h*VzvUn4byY zUm#@RB6mRjtgjdj=f0RIVuLfcf0e`$#NS!V5hEmr5Zsi%iP^YjvHkM^%vk%{0G+lS z3pR-pet^M1R}L6gBrrgo1iJ61USvKf5vU`f+4r9`zmu`|gi7kau?90k@?#vp73jeL z0{VBiVoZZUI1+uEap@dL0z>i`LANi=$~^vZgi4TXEMV?t3Reg(Prv7llG?V%y;2M^iU{&&KBB&>%nr_W(qkPj&Y# zYWrit{q9amCC!1DaJ- z1nu6|RuWBU9mBYyX0x)Uc+3JT2Eh7o)o%{Rb9_lq`vH|yO$uLnnl?6E zR%ac`anH^JcFvC`P9RYnrS45oLJd?GyrF+bS}gE4G}TPQJ|%Q!k{Z7iPCvev2g`I@ z7c;qlmu9DBs{6RNI|^_e(E=hDOS$xcU{jGA{>-t8jLVkG<>Gbm3sO?210B#snm>_j z(^$^GAL&6jdUn!al3Ui_=}zz8_t|b`8!+v+w*)4yS~8we)kL(pxWWe>yVpwdjNs^L zOuD&PF4iZpW^j>|TF$=Whg1btUH2~Qd)p{`&2*VKDUH&}(e@ZX78i^5 z?qOc&Q`x9wtIzfPoj1ORkWzfsXWSj53}`qv+P@~4`gaJc&dZD;5)({{aN?~OrJvuw3(P~ zZrl48_Yxv^W0-{7gSf31V3mUHr-iSSJ$+plC z;vz$qt2rn>W@;k0Sm&hrrcVk@a0asWpS51E;HEvaZB#aw+Q!*Q>m_N-Yi+2d{`gT! znM*`AV~l)Gm(o*XNQ^a$$y)H?>^r~U+jc)E{qQ`8Z14Q=Om4c?=e?wUkQ&Z;T~19% zS4*jkA+1X$J_@hRo6jHFYoH?o;?ILDT2W``1aj_Bo>#6sO0S}er!>Z=H=O8(o$JN* zO75F>*zNZfDFTz5?vRz)p9`>r5yzrFe&I?M3Ma2^{=oH|VPn+(b9S5Nux-;(CCESv z9M4jm<@lR?>w}me(M75>K*F<8G6fGl>^l_=+1b`RkrFGGjBt>a36Gu&!{?tWKVjpN zOXStURwWn5S?LLJ*IK|?;`nklVY4J^Jf_iL5u^kp)w3YJ8oQ@8hb0`3iwY0dxjmZ_ zqdb(a4;BsOPieksiLA?GT3@XvdTpU&E5b`h;(4;8KFx{0Y-UdpbgFv8@OCbQQo?H~R2!Rj%e|o#MU>%3)tsO8XZyrU0JY1W!$RVvL|5WGjme zjila8uldYpb0J}tUlQrgCcMowE}SABi(4oP3X`55b%q~D7279|>UI->vhS>9Y~}4; z^Heu`FNr$)wPbKHraN5%zLn$SbAZ)n+!Rq^Q7zYN1*#U_5AB4*cCxO6Vh6ZiZ>$Ee z3mcTdX{eOn@vffnwyJ_&XJc1UVsf=Y7CDpET_o6+IVG13oK>-&%X)7G{rdTMzqV5G(y<)U|SV#i_g z&#?asrYD5$@+5VxlQZ@oi^Gc)8x1`u+RDCkQJ*}ofFlJDVf3i{#uB01SsgeI-KGgQ zj-jar`d*)j5-6TwV7M46wd`rOgq9eZSJzyKBr@M>?!LnT)6Z7=bS_e4`nxm$85 z0jYv5ELPP5u7YIoCRDvX9cSww9--%Qy-S+x&{cD>!Dz;zV(hCo}BDiJ5Am%XaQ}D@GH7WIgZ@-N4|W z&x^^2oOBfJiNy5%lfvpSVN~)IHO&x{f<)!i2gI&F9&gi@!aQ(Y4v5G5R5J-re2xKu z?Kh5+g76jW7>}Hr1i9jQvWKg{tLk@eBc*^P8xgccWP={>?RV22lUZ0|`2};G$Fb3` zGAwLlKhM^xO$zg-n-9v8(H#N>K)-o;K2ziTT9E7pB{C&?1*Sbtso*J;Y}ThO4!(*oVH^Xig0RGPBlDpVXJYPvB;=B=xH0d;aWp(0r= z)S&eU7_V=6b1CF5CjAy*{&~fq%k)s(FD#j*|0pZl0$LfycX$f@;wTQduwI|`h&!21 zGvux`0l#9}=$NS~aV0j9EFA??(kTmJV$nd2?cuO zNZ)c#s)JyHGwtu{$m;yOto?kS0k2ZEN||Zzp}TvG#pT;h7)NXLR9UPB3t|y}D#y}( zEJi=eb=4wAVwVLOBx8A4`Zvqvs2!}k?M1!OM|$2uR&W=#wl3QDbjGS&^RBMBjS>Lf zdO=Wap=(wQ>*EOVykBkpB{~RicA-IY=>Nm!fb&0jEpV{>x6J_~6YGCW3Nv!B{*SE| zycHppmDI4%?6rxSHI+rmwM`I%Y3R-U2m<{400R)@!)SyhbQ41Nc{4zfK&pUM`{D^4 zD4?K#BjBtxs`3aL=*0y@#n?*G%UxpCFo zsS^#S`;7x}JG1w-zhh9T0`buh#NpO46oVi}821H%PPPGkQTXjcf*eQqL)yM}AyMfY zxs8GIy@4|V_o6=>CD>uyF*wDOs=p(m(7h}GV(*8yA@SLX%IAbNCGFxS67pcAedQbd zT=Zp54)zJc@S*u@k!Wljk)TIzx97WU1~mT$I|?J#Km4jNm}oN&{Hr)K#E?f*3|oR! z=<|XX89@dFRHF$-e+X6Jqd_F5xbl~be^&z*2@}!?aF0aTVMIxh0{kXE0;X@fh>;X( zKOp^Ln9!rbe0>bme^Bs@sq8L1AI*OU;40vWip>)eD9!|~5gAZHy3^<*=Hh?@1VPUS zr~^usCCg8Pu>~}6&|pE(M;iE|5J>T($x#cO$@Lcw;&=44LsUMghWXr%aA(9fJc~^m zPL@Ofy(`>P0@)9K)BJ*d!*{K39YxvWh?g4NW@2vzhyzUqqM^+{<6k{MCh=ET4=o>- z)rbOx_@QH{@^cT$k&9|&rz7D#45*SIudILe+a08^#F7n_`gU)*UZQ6iAl|IGhD#x+F;;3BVTS+-m9W1Z_%~?naTG2F&d$)uJXUU1|BDErpGn5 zSWHpEdcmv!O1--n(aK-D3`H*l{-kPH#rM=oFrTfu^MN(?b;8!$3UA@MJoec%bp|f4r)c>id zWT84M3#MRNWRu}Qqg(E3+7{y{Fq)p+3aa#1$*sO(56Eg5NX%JzW&2EXsi~n?8(!)z z+hcoSxNRR=C!ltXIfj>O!8m3BI&pis9PTLP#jhzQ{9wJGjMB#1Ql&BLsA7iKN^v@| zC~|HUOlE#WFyFZAi@96}-L8`TB*Aj!!Lrv##0`iLb2Rv#9r5Tqhrkyd_H#;I#!g{K(|`s{bi0{Zl)C zLLdouv&h;h{!cA$BB<0Czw)LH#X*Iika%Ig~c|MPe75Ugfu2$~0 zq`qH_axIYL-HNK9CD4f9PF!neQ=YnM#&l_}8VXC2zMQ$DeW&~fFL8XYJm~wtsv1@n zcojx!yz!{_0S7Am^AF@y4u6>mN(_^{MOvcy5^!u?jr`cAS<=Oj~_p0w4J!&PA7a1=$*C>r{wu2SyG7d=#-;|_DLdT25@qG-V zkJe6y$scEzQjJrvuG_$e15=hmeA}A}q}L%a7h>Z?;gHtml2MJ}T(4S_R9(TX!5jB$ z{$+i%_o`3E(<@qd=Sz0$#<{Uw&hR71_4uXjKRsOLYGaC|Cm~|5E1Y8BHEgWck?v?s zT5X5*mspBv?-kfAw{J-To!BBAO3&w?xpZRZ9^y7pJ=f+k4yvoY#6u6%R8K@XdRqwG z9i(;xw*|Q^GgK1{orV2X!{$0o!?wueL@vduru={&=vZUn&AmJvj0V^X1tRdN*b+W; z1&x>F#L^X&KQ1lj!_VwSLEu<)p7N;IZYu7z#ssVXCT$qAcwSqEDv#bN z*z%jdaJgw;4Z@eEvTBY)BQVLT9X0_rwZcGz85&8e##uvSD3MaVl|Dr|UG_d&`^WKJ z`%ZdX%O}dI8WQqH!MG)yzcyy?TT`%;UY_CGDi%6S*w^i{dco18;tYS}LnY2!5 z`1E7y_w=0f#Rl^9X=;3I<+<+a%EFJ_*@vRck+MEIY_5t^KKRE(7cdSAT^*+8Uc0oE zHGcgtH)fr?b8?-Aie#4bk1`l(GbVj!J{==VTo#(Q+?v4LN=t2`jidWD)mo^`zAfP^ zNx5Z?MU)XJMd{A2@0kYG?a^QzpPf!I{Oe}dKBDilE8WM01t{-rE}IwVMR_RicBUbl z-_42K;7SR-9-D=Q6Sd?H9AgB|^a=(R>uN5Sna?DHt5IocAv~5w#ut&cg0jW7kMaF_ zy*sIzI`@Ya(8R}V7g-hSdeT};g{w`aUa=*0}I98I9;<&{O%>BO9^tPBloZ2osF z%74ur3H}}bcT6+{swNJO|6WbNOvlK=$jZsY#!AaX$M#>b{$CLi$e6pB5c~^?onFMm z(A>a=lEBi=!0E4}i2;Gj|MNH-9TOchB@`du{~ne9EegiO^xuX;+1<{Bfc}r6g_4ss z6ule)`#+5^F>?n;CjvG`_W#Op60mS`{Et<^mbJ7Tk=t8*UTe=r9WAJCR&*)~N+L)G zVeB9VP1fot@njZ2a_z6IHq-qdFK1g*IlJp&P{E}MR6$i%`No9G!41?w_XYAT2rFvH3SoXcnt@`p-uaFFt*gP1!AU~s zEdxg*sH!Ln24K{TykxCVb5ttoupCq}H2u&j28^P8SXI z?}A(NfE^~@!}}TnQ3X&h(UKFA7RTNJsPw0WIAopiND}*W^s|Mq^hxW42yyocpb-^` zoiXy0@>QecN5;eZB7z^lzUx%;Q5g^kisnY-;fR~a)9{F8L>UC>3`kBH2L8@PZO}}M z$l|?8Pk@k;b-hjGG3RLlc1UP)%?p7HfUQ9Rw1P>;#ncrvbDpq15B(BA@)4HKr{5vS z$&xHf$jdOrB!SI(!Hrp&j*Yox>m|LHycI!Vs(W)hS4 zC@O(JXlFt)qrOD^C8`gT{M7~+!_dTKJX49+NDRsEGhzESZu@7<7@yE~Br2<~FobYZ z+I5wak}~4q<6-gnp7k^_3fk;}?Z-$-~zwOwsG2pw2drwCiJ^eW1G1P@*qU{)|b^L5GH0KajRH6;t>pVM5vBOO=X#3XVFyXsDVjP=`h(SpitSf(nZK?8Lr-;}R)37E%HMlSb1&$yswK z0VR3UIYxLG7K0!e&)hz0yrwppjW8#s65tLEdVdAd;Z+U`P2kbOgezbPSgOfGOa*m z1c#l|dCfT&@QJSg1tsb+_exM6ZF>X;hPL~D^d_Jq!}G7%hco&cwOSh<)aS7m@HZ+R zW^az05J5Gvu!~9^lmqKhiWf)9Z0;cHN}ZX8VW<`n>gyZjgK$bqtDG{nP69hdd`vE= z1nxEV3ar;t&BCsYA< zg-79f3i5^-iBDP!UNiQHPAD;|vb;;!xCHvdL6j+Cp7mzCBB%sJ+VN_*@ zL;$uhi71Y0GkKVwv$E;qJR8WP48EX98bs|062NOnX{aclodVu@u5EJv1k%*){*Ep3 zT^nWt1J|*MrfD!J1NZs``-EQ8(%es|I03NC;7~h~8ESk!V4bEQz+(Vu{{+i?T}eN9OtR z&b;r;`|Y0p+&lNvnK|>j_nd#nSEasWM-hM-mR$mwqFwgZ#<4Ayn^Yb1S_&Z<_n5kc z-f=@W*tx#nbdwHMY&)wTqQ;L@44*}aKyTi_mHi-$&wqD`H@&)5@cX?=p(}ZOmock_ zMD88ZBhNak*QFmw8aicm3^|j$-5~Xx;`e8Ii2e=-z#z`dwn2z62=c=cnIJNF+ zl}_84K4~!!-c{VDPW7v4Z-`0vs2M2d2w}ms+VO!NPp7tKbfr7Wcc*n;cqMglP2{2j z?V;VIzpKTkmq9kmoL&V!r}xL{h%pVCsWXcsT_M7!V3(U=j(zvh_CrKb_r^#p7=;&d zFNxWS^-^CDZ>;eRijphCop4S|5yPA*MebTPH)Gb^^)GF~htg^sNgNs&GD*J4{Wkh# znG|MPO9K?w_u?lGFqtTIpg}^>**JF<5V0(+cb|VV&86z8`x@mhc4h@@BANYd_}?Es z7NZHHf_py9y3V_oZ;@iirk%fthk5?}W!8@dVr8RD*A-vY@q8)2FCP+U6BoV58&;V_ z5gn#(OqfB}M(y@%-;g$-{7Hwf4ZjW-!JX~+TD3|dG>5`$B8Nhsji0tO7Rt^%;49S# z?IpzElviNc_YQ8|Crjbc@zWhNiT*pvLd~Dx>5|exKePVQx3VyFctem)tXrAsRO)T- z&ogihZ$(d)OuuQB4%#X(i)vR=4AeGQ$-EnkEbjP|nNkT0LXIq-L-dexg&4K3JFQ7+ z+dauC)g;<__IHxfTKbdH(&&J3Op66Nm>#ic67wbgY7m{6;mBMni0m>web^E%8sr9a! zrMiwfsGU!d@3h!3djFLk z53}Wb&am&z_O9{vT~nOkZFm?Q_5RkvHEkG2fY=eTAYt8EFbqhfTV%B^svqkY-RTvk znBzn&D6c%nZ+*8VPTnm+H?9Zp(UGrk*8+o%K(Z>2AB8uiqsS{Z?vt?e>RS zYxTT4|8X1(nMO@FJ^Bfs!9{b`>4jHC>vsdg8yOb9^PiE+nj@U=)SM} zTAC}PGLy`cFgRX__#?ZNEWlyPUafKpA5l{j*j&c7Jecv><1nm$cT(trbd9#m{uZP8 z+;%y+9BFhyrEe>hRM?|;c;LI5wsqwGjCPB00pKaDz&p*iJMgnu$Vyj6Fr{vzgpT0G z^o!Q_sPkHL*z!eOIH{+~dipErhG`T+f86{^)g@J$t7+hOSwT|M%+(ShJvC|1JwhKv zj~)b-BH>%}Jrsp-=#%~h@z^4Cqm3wrvumH!nX^kiA%G=59~X}rl~-n=aX@9E7!{OV z0#YEid&CbOZSR|(jqUX6>jrJ7J<*$Pn+nid|E%vSO7$*Yw*>;h!s)OJEOffjd{ju; zI!P+T2>ewp734#%AgVXvLrRPEy`Fm!x=sK(mm1K!0=?8Q;m~oxNgG&bqhRy*@Ib!d zlJ+v|IX(QSqfNe!Oz};<;n(X*Kl7n^;pAJdJN?d$lP6tkr#I!{e1lzLL8@t9w!&Q( ziintJcB=XUFlAuDpy zM(j`k9>*WY2#}Y(zpwNPu;V$*suXggu3MO&9cro7f!TDOVmvHW!5^pAl9or_9*1*= z)T@;rW~d3|v?2k5Dja}5H_>WiQG7_u!33V7KrJv42n+Rov|EMqr>xXKZ|}#f&%Sv7 zkgTe9jae;g`!YtSTKU=cVhHykP`LFxzw`a!UbKB##x#g|V}n%bhY?g|eJ3#V0#)7m zy?&5z_wXY6*yiLaTE?2pE(*IoMW-L|OcxeK#~-k6(h?RaqJZiv`-zr(rOoqY0|E{jy{66Jw82;!uPYJ#*uk*uA3z zCnmZlOB2b)2B}juTS1|;C@k^ZyRom^X7WppXp0i?iP=qdt*I*OiNwuT|U?d|R zl{{DllmiKp(V&+OiWNm(3UQ}{(X|KWr`o5;Fq?rsJmb2l{Yd;yWo5N2{+GvtKJbcb zNYiJ?{9};V^|y;!+y2kW_WgaDtrKaME2D-@!qr^u<5ep^OoQF35Ct# z_2y9pxFI^BcVejqdAhK61#A$x|9h^mh=ViCM7wH+<*wFDtTD&e6IGv7 z|NF@#u;#qB!KIIT#o1M3pW4NgMR}TStv~;s!XA0y7-|uiO{DjPYHYvk%Z|+mQ5ASa z)-NyhCh2f-hXWy}&jqK2Z5^TLv(3=+05e{^Yg<8{X8#*T6DiHM{`9<6^y#rDw&*D( z<5cykzOUPxDkCb|v(0Avh!!hhap*$_4R(WIlh0e=_%rnCDlh7l_8v1bTjVTTQD?V3 z_-gs^NMUvP3PTxmBw+ldq?eFvQDJXr+(dabp$~*JN$wr(9OEut%xeigJKUC7QgBOnkbr5wYQN>`6w} z-j0zI?lEBZP#AoD*Tm=H)1IL3=Afa0zVvVd>fueAxvTxNZJI6@4I+Rb7i)%~`$oEw zd5M%khmtt?QpVxFoDO-OA}9pEIs@Lqlw!*0L=zc)Eu=&giG-^a@%MbL&`Or0tI0u&z?ktX@IQlC5;?Ksun98NnR2ZkGh9e(>+KPj7=G>ObJ(<_J1rx;AmEf!S zamcVKzmKou6PKx@#?T!fesSEsml+<64P4yjqWUYl$s)TP;i?8>wv}AG=dpJlZB41JZMVgSvW60=k1N!yhLKF8i4-}g!=C<( z{c>6LrF^g>Ft(G6ZI)o~3$Lfl%bg{<#Xnq3uFr&He*~G^BsTSk&+)DwQtnb+{yZni z2lj#2n6nncFM9o3j06@-RB350lEG0D6OSZO31|Jp7KY{lB2+|Lpz# zFX?+?>gq-zrt9P48Vs}%2TFis>?p*{+(TXeEh)q-fi@CADWJrSXbOeGZp53u7NF_B z6K>F(=pRM>7ij=(6lJABAQ?>!aS3Tz8FgtHkc6zHjD&`!oP@NboUDeNoHFqL-*R)0 zfvXP$_6#U33;OTZN#H*K=>@wXqGDQJH`rCf)fwvI`j21w!*1ZLH%0IyA8yMm!Gwc! z53fMW$VXe#TOrV-IZ^UXhfj<}N>m8*`mKnKp7`m4Jz$frJR~Q;%ZJM-6(? zUZB;z9G8?M7eXuj;U2ajS06L6SR#OkAkR!f74L+LA}haO+oXX3FsjfiXZ5)xIS;+2 zcSZNzoQN-<*q7@gXIPhId#(v>nT&s+8GOC4;4dfa<0pg+iSWYO{Be@w8!s`?9&6)V zbV^_?RDhh`LY)G#6Fj>nlgVvG6>}E!w$vKA2F>gxY8lRZd|hi1?WtEa@<^LC~LjN-;nT z_Yf+3L$DSEr~H+F3@CG6X?DnO;||9E&=hqCzQfGZVZ%Ty55Ia^I-y1de5;6TlL#?B zzPyxm58+vPKdOue`!G|cKX&8?{}6CS&x?xrS2IkXz)6FCbczo4GLIe+z)s+~5`*W& zikr8>>+|z=IK~M`a^}AhD)thC?dGl6_PhzO6V1#mr^YsWuofI%m2l6DYws&|N!}Gr zMZ{Bo$*NPUlO8K(7|NV7)MIRI>Mj0Im}8&nRTzJD4G63;spEHe^Le7;il8nrw(x)F cia*TJ4;JiqlN=H<4<%$}Dfsv_!CDmm0r{z`>;M1& literal 0 HcmV?d00001 diff --git a/ws2020/ana/uebungen/ana3.tex b/ws2020/ana/uebungen/ana3.tex new file mode 100644 index 0000000..1587028 --- /dev/null +++ b/ws2020/ana/uebungen/ana3.tex @@ -0,0 +1,371 @@ +\documentclass[uebung]{../../../lecture} + +\title{Analysis 3: Übungsblatt 3} +\author{Leon Burgard, Christian Merten} +\usepackage[]{mathrsfs} + +\begin{document} + +\punkte + +\begin{aufgabe} + Sei $\mu$ $\sigma$-endlich. Beh.: Dann ist $\mu$ regulär. + + \begin{proof} + Da $\mu$ $\sigma$-endlich ex. $A_k \in \mathscr{B}(X)$, s.d. $\mu(A_k) < \infty$ $\forall k \in \N$ und + $X = \bigcup_{k \in \N} A_k$. O.E. seien $A_i \cap A_j = \emptyset$ für $i \neq j$, denn + andernfalls können die doppelten Schnitte entfernt werden, ohne die Eigenschaften zu ändern. + + Damit definiere + \[ + \mu_k(A) \coloneqq \mu(A \cap A_k) \qquad \forall A \in \mathscr{B}(X) + .\] $\mu_k$ wohldefiniert, da $A \cap A_k \in \mathscr{B}(X)$. Da + $X = \bigcupdot_{k \in \N} (A \cap A_k)$, folgt für $A \in \mathscr{B}(X)$: + $A = \bigcupdot_{k \in \N} (A \cap A_k)$. Damit folgt wegen + der $\sigma$-Additivität von $\mu$: + \[ + \mu(A) = \mu\left( \bigcupdot_{k \in \N} (A \cap A_k) \right) + = \sum_{k \in \N} \mu(A \cap A_k) = \sum_{k \in \N} \mu_k(A) + .\] + $\forall k \in \N$ ist $\mu_k$ ein endliches Maß, denn + \begin{enumerate}[(i)] + \item $\mathscr{B}(X)$ ist $\sigma$-Algebra. + \item $\mu_k(\emptyset) = \mu(\emptyset \cap A_k) = \mu(\emptyset) = 0$, da $\mu$ Maß. + \item Sei $A \in \mathscr{B}(X)$. Dann ist $\mu_k(A) = \mu(A \cap A_k) \ge 0$, da $\mu$ Maß. + \item Seien $A_i \in \mathscr{B}(X)$ mit $A_i \cap A_j = \emptyset$ für $i \neq j$. Dann + ist wegen der $\sigma$-Additivität von $\mu$: + \begin{salign*} + \mu_k\left( \bigcupdot_{k \in \N} A_i \right) + = \mu\left( \bigcupdot_{k \in \N} A_i \cap A_k \right) + = \sum_{k \in \N} \mu(A_i \cap A_k) + = \sum_{k \in \N} \mu_k(A_i) + .\end{salign*} + \item + Sei $A \in \mathscr{B}(X)$: $A \cap A_k \subseteq A_k$, also folgt wegen + Monotonie von $\mu$, dass + \[ + \mu_k(A) = \mu(A \cap A_k) \le \mu(A) < \infty + .\] + \end{enumerate} + Sei nun $A \in \mathscr{B}(X)$ und $\epsilon > 0$. + + Z.z.: $\exists A \subseteq U$ mit $U$ offen und $\exists K \subseteq A$ mit $K$ abgeschlossen, s.d. + $K \subseteq A \subseteq U$ mit $\mu(U \setminus K) < \epsilon$. + + Sei dazu $k \in \N$. Dann ist $\mu_k$ endliches Maß, also nach Vorlesung bereits regulär. Es + ex. also $U_k$, $K_k$ mit $K_k \subseteq A \subseteq U_k$, $U_k$ offen, $K_k$ abgeschlossen + und $\mu_k(U_k \setminus K_k) < \frac{\epsilon}{2^{k+1}}$. Dann definiere + $V \coloneqq \bigcap_{k \in \N} U_k$ und $S \coloneqq \bigcup_{k \in \N} K_k$. Da + $\forall k \in \N\colon A \subseteq U_k$ und $K_k \subseteq A$, folgt + $S \subseteq A \subseteq V$. Weiter ist für $k \in \N$, da $\sigma_k$ endlich und monoton: + \begin{salign*} + \mu_k(V \setminus S) = \underbrace{\mu_k(V)}_{\le \mu(U_k)} + - \underbrace{\mu_k(S)}_{\ge \mu(K_k)} \le \mu_k(U_k) - \mu_k(K_k) + = \mu_k(U_k \setminus K_k) < \frac{\epsilon}{2^{n+1}} + .\end{salign*} + Damit folgt mit geometrischer Reihe im letzten Schritt + \begin{salign*} + \mu(V \setminus S) = \sum_{k \in \N} \mu_k(V \setminus S) + < \sum_{k \in \N} \frac{\epsilon}{2^{n+1}} + = \sum_{k \in \N} \frac{\epsilon}{4} \frac{1}{2^{n-1}} + = \sum_{k=0}^{\infty} \frac{\epsilon}{4} \frac{1}{2^{n}} = \frac{\epsilon}{2} + \qquad (*) + .\end{salign*} + Im Allgemeinen ist $V$ jedoch nicht offen und $S$ nicht abgeschlossen, aber + $V^{n} \coloneqq \bigcap_{k=1}^{n} U_k$ offen und $S^{n} \coloneqq \bigcup_{k=1}^{n} K_k$ + abgeschlossen. Dann betrachte + \[ + D_n \coloneqq \underbrace{V^{n}}_{\searrow V} \setminus \underbrace{S^{n}}_{\nearrow S} + \searrow V \setminus S + .\] Da $\mu$ Maß, folgt also $\mu(D_n) \searrow \mu( V \setminus S)$. Das heißt + es ex. ein $n_0 \in \N$, s.d. $\forall n \ge n_0$ gilt + $\mu(D_n) - \mu(V \setminus S) < \frac{\epsilon}{2}$ $(**)$. Wähle + nun $U = V^{n_0}$ und $K = S^{n_0}$ abgeschlossen. Dann ist $U$ offen, $K$ abgeschlossen + und $K \subseteq A \subseteq K$ mit + \[ + \mu(U \setminus K) = \mu(D_{n_0}) \stackrel{(**)}{<} \frac{\epsilon}{2} + \mu(V \setminus S) + \stackrel{(*)}{<} \frac{\epsilon}{2} + \frac{\epsilon}{2} = \epsilon + .\] + Damit ist $\mu$ regulär. + \end{proof} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Beh.: $\mathscr{H}^{s} = 0$ für $s > 1$. + \begin{proof} + Sei $s > 1$ und $\delta > 0$. Dann ex. nach Archimedischem Axiom ein $n \in \N$ mit + $\frac{1}{n} < \delta $. Definiere + \[ + A_k \coloneqq \left[ \frac{k-1}{n}, \frac{k}{n} \right] + \] für $1 \le k \le n$ und $A_k = \emptyset$ für $k > n$. + Dann ist $[0,1] \subseteq \bigcup_{k \in \N} A_k$ und + $\text{diam}(A_k) = \frac{1}{n}$ für $1 \le k \le n$ und + $\text{diam}(A_k) = 0$ für $k > n$. Damit folgt + \[ + \mathscr{H}_{\delta }^{s}([0,1]) \le \sum_{k \in \N} \text{diam}(A_j)^{s} + = n \left(\frac{1}{n}\right)^{s} = \left( \frac{1}{n} \right)^{s-1} < \delta^{s-1} + .\] Mit $s > 1$ folgt $s-1 > 0$, also $\delta^{s-1} \xrightarrow{\delta \to 0} 0$. Damit + folgt $0 \le \mathscr{H}^{s}([0,1]) \le 0$, also $\mathscr{H}^{s}([0,1]) = 0$. + + Definiere nun + \[ + I_n \coloneqq n \left[ -\frac{1}{2}, \frac{1}{2}\right] \nearrow \R + .\] Dann folgt für $n \in \N$ wegen der Translationsinvarianz und Skalierung + von $\mathscr{H}$: + \[ + \mathscr{H}(I_n) = \mathscr{H}^{s}\left(n\left[ -\frac{1}{2}, \frac{1}{2} \right]\right) + = n^{s} \mathscr{H}^{s}\left( \left[ -\frac{1}{2}, \frac{1}{2} \right] \right) + = n^{s} \underbrace{\mathscr{H}^{s}\left( \left[ 0, 1 \right] \right)}_{= 0} + = 0 + .\] Da $I_n \in \mathscr{B}(\R)$, $\mathscr{H}^{s}\colon \mathscr{B}(\R) \to [0, \infty]$ + Borelmaß und $I_n \nearrow \R$ folgt $\mathscr{H}^{s}(\R) = 0$. Also + für $A \subseteq \R$ folgt mit der Monotonie von $\mathscr{H}^{s}$: + \[ + 0 \le \mathscr{H}^{s}(A) \le \mathscr{H}^{s}(\R) = 0 + .\] Also $\mathscr{H}^{s}(A) = 0$. + \end{proof} + \item Sei $A \subseteq \R$. Beh.: $\exists s^{*} \ge 0$ mit $\mathscr{H}^{s^{*}}(A) < \infty$ + $\implies$ $H^{s}(A) = 0$ $\forall s > s^{*}$. + \begin{proof} + Sei $s^{*} \ge 0$ mit $H^{s^{*}} < \infty$ und $s > s^{*}$. + Sei weiter $\delta > 0$. Dann ex. $A_i \subseteq \R$ mit + $ A \subseteq \bigcup_{i \in \N} A_i$ und $\text{diam}(A_i) \le \delta $, s.d. + $\sum_{i \in \N} \text{diam}(A_i)^{s^{*}} \eqqcolon C < \infty$. + Dann folgt wegen $s > s^{*}$ auch $s - s^{*} > 0$, also folgt + \[ + 0 \le \mathscr{H}^{s}_{\delta } \le \sum_{i \in \N} \text{diam}(A_i)^{s} + \le \sum_{i \in \N} \text{diam}(A_i)^{s^{*}} \delta ^{s - s^{*}} + = \delta ^{s - s^{*}} C \xrightarrow{\delta \to 0} 0 + .\] Damit ist $0 \le \mathscr{H}^{s}(A) \le 0$, also + $\mathscr{H}^{s}(A) = 0$. + \end{proof} + \item Sei $A \subseteq \R$. Beh.: $\exists s^{*} > 0$ mit $\mathscr{H}^{s^{*}} > 0$ + $\implies$ $\mathscr{H}^{s}(A) = \infty$ $\forall s < s^{*}$. + \begin{proof} + Sei $s^{*} > 0$ mit $\mathscr{H}^{s^{*}}(A) > 0$. Ang.: $\exists s < s^{*}$ + mit $H^{s}(A) < \infty$. Dann folgt mit (b) direkt, dass + $\forall s > s^{*}\colon \mathscr{H}^{s}(A) = 0$, also + $\mathscr{H}^{s^{*}}(A) = 0$ $\contr$. + \end{proof} + \item Sei $A \subseteq \R$ höchstens abzählbar. Beh.: $\text{dim } A = 0$. + \begin{proof} + Falls $A$ endlich: Dann seien die Elemente von $A$ $a_1, \ldots, a_n$ mit $n \in \N$ + und + \[ + A_i \coloneqq \begin{cases} + \{ a_i \} & i \le n \\ + \emptyset & i > n + \end{cases} + .\] Falls $A$ abzählbar unendlich, dann sei $(a_i)_{i \in \N}$ Abzählung von $A$ und + \[ + A_i \coloneqq \{a_i\} + .\] Dann gilt in beiden Fällen $A = \bigcup_{i \in \N} A_i$ + mit $\text{diam}(A_i) = 0$ $\forall i \in \N$. + Damit ist $\forall \delta > 0$ und $s > 0$: + \[ + 0 \le \mathscr{H}^{s}_{\delta }(A) \le \sum_{i \in \N} \underbrace{\text{diam}(A_i)^{s}}_{= 0} + \; \stackrel{s > 0}{=} \; 0 + .\] Damit folgt $\mathscr{H}^{s}(A) = 0$ für $s > 0$. Also folgt + \[ + 0 \le \text{dim } A = \text{inf} \{ s \ge 0 \mid \mathscr{H}^{s}(A) = 0\} \le s + .\] Für $s \longrightarrow 0$ folgt $\text{dim } A = 0$. + \end{proof} + \item Sei $\Omega \subseteq \R$, $\Omega \neq \emptyset$ und offen. Beh.: $\text{dim } \Omega = 1$. + \begin{proof} + Es ist $0 \le \text{dim } \Omega \le 1$ wegen (a). Das heißt es genügt zu zeigen, dass + $\mathscr{H}^{s}(\Omega) = \infty$ für $s < 1$. + + Beh.: $\mathscr{H}^{s}((0, 1)) = \infty$ für $s < 1$. + + Sei dazu $0 \le s < 1$ und $\delta > 0$ und $B_j \subseteq \R$ mit + $\text{diam}(B_j) \le \delta $ $\forall j \in \N$ und + $(0,1) \subseteq \bigcup_{j \in \N} B_j $. Es + ist $\sum_{j \in \N} \text{diam}(B_j) \le \text{diam}( (0,1)) = 1$. Damit folgt + \begin{salign*} + \sum_{i \in \N} \text{diam}(B_j)^{s} + = \sum_{j \in \N} \text{diam}(B_j)^{s} \text{diam}(B_j)^{s-1} + = \sum_{j \in \N} \frac{\text{diam}(B_j)}{\text{diam}(B_j)^{1-s}} + \quad \stackrel{1-s > 0}{>} \quad + \frac{\sum_{j \in \N} \text{diam}(B_j)}{\delta ^{1-s}} \ge \frac{1}{\delta ^{1-s}} + .\end{salign*} + Damit folgt $H_{\delta }^{s}((0,1)) \ge \frac{1}{\delta ^{1-s}}$. Mit $\delta \longrightarrow 0$ + folgt $H^{s}((0,1)) = \infty$. + + $\Omega \neq \emptyset$ und $\emptyset$ offen. Sei nun $x \in \Omega$, dann ex. + $\epsilon > 0$, s.d. $(x - \epsilon, x + \epsilon) \subseteq \Omega$. Damit + folgt mit Monotonie, Translationsinvarianz und Skalierung von $\mathscr{H}^{s}$: + \[ + \mathscr{H}^{s}(\Omega) \ge \mathscr{H}^{s}((x - \epsilon, x + \epsilon)) + = \mathscr{H}^{s}((0, 2 \epsilon)) + = \underbrace{(2 \epsilon)^{s}}_{> 0} \underbrace{\mathscr{H}^{s}((0, 1))}_{= \infty} = \infty + .\] Damit folgt $s < \text{dim } \Omega \le 1$ für $0 \le s < 1$. Für + $s \longrightarrow 1$ folgt $\text{dim } \Omega = 1$. + \end{proof} + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Beh.: $\forall k \in \N$ gilt + \[ + \max_{x \in [0,1]} \left| f_{k+1}(x) - f_k(x) \right| + \le \frac{1}{2} \max_{x \in [0,1]} |f_k(x) - f_{k-1}(x)| + .\] + \begin{proof} + Sei $x \in [0,1]$. Fallunterscheidung: + \begin{enumerate}[(i)] + \item Falls $x \in \left[ 0, \frac{1}{3} \right)$: + \begin{align*} + |f_{k+1}(x) - f_k(x)| &= \left| \frac{1}{2} f_k(3x) - \frac{1}{2} f_{k-1}(3x) \right| \\ + &= \frac{1}{2} \left| f_k(3x) - f_{k-1}(3x) \right| \\ + &\le \frac{1}{2} \max_{x \in [0,1]} |f_k(x) - f_{k-1}(x)| + .\end{align*} + \item Falls $x \in \left( \frac{1}{3}, \frac{2}{3} \right) $: + \begin{align*} + |f_{k+1}(x) - f_k(x)| &= \left| \frac{1}{2} - \frac{1}{2} \right| = 0 + \le \frac{1}{2} \max_{x \in [0,1]} \left| f_k(x) - f_{k-1}(x) \right| + .\end{align*} + \item Falls $x \in \left( \frac{2}{3}, 1 \right] $: + \begin{align*} + |f_{k+1}(x) - f_k(x)| &= \left| \frac{1}{2} (1 + f_k(3x-2)) + - \frac{1}{2} (1 + f_{k-1}(3x-2))\right| \\ + &= \frac{1}{2} \left| f_k(3x-2) - f_{k-1}(3x-2) \right| \\ + &\le \frac{1}{2} \max_{x \in [0,1]} \left| f_k(x) - f_{k-1}(x) \right| + .\end{align*} + \end{enumerate} + Damit folgt die Behauptung. + \end{proof} + \item Beh.: $f_k$ konvergiert gleichmäßig gegen eine stetige und monoton wachsende Funktion + $f\colon [0,1] \to [0,1]$. + \begin{proof} + Sei im Folgenden $\Vert \cdot \Vert_{\infty}$ die Maximumsnorm auf $[0,1]$. + + Zunächst zu zeigen, dass $f_k$ Cauchy-Folge. Sei dazu $\epsilon > 0$ und setze + $N_0 \coloneqq \log_2\left( \frac{1}{\epsilon} \right) - 1$. Dann gilt + $\forall m, n \ge N_0$ zunächst + \begin{salign*} + \Vert f_{n+1} - f_n \Vert_{\infty} \le \frac{1}{2} \Vert f_n - f_{n-1} \Vert + \le \ldots \le \left( \frac{1}{2} \right)^{n} \underbrace{\Vert f_n - f_0 \Vert_{\infty}}_{\le 1} \le \frac{1}{2^{n}} \quad (*) + .\end{salign*} + Sei nun o.E. $m \ge n$. Dann ist + \begin{salign*} + \Vert f_m - f_n \Vert_\infty &= \Vert f_{m} - f_{m-1} + f_{m-1} - \ldots + f_{n+1} - f_n \Vert_{\infty} \\ + &\le \Vert f_{m} - f_{m-1} \Vert + \ldots + \Vert f_{n+1} - f_n \Vert_{\infty} \\ + &\stackrel{(*)}{\le } \left( \frac{1}{2} \right)^{m-1} + \ldots + \frac{1}{2^{n}} \\ + &= \sum_{j=n}^{m-1} \frac{1}{2^{j}} \\ + &= \sum_{j=0}^{m-1} \left( \frac{1}{2} \right)^{j} - \sum_{j=0}^{n-1} \left( \frac{1}{2} \right) ^{j} \\ + &\stackrel{\text{geom. Reihe}}{=} \frac{1 - \frac{1}{2^{m-1}}}{1-\frac{1}{2}} + - \frac{1 - \frac{1}{2^{n-1}}}{1-\frac{1}{2}} \\ + &= 2 (1 - \frac{1}{2^{m-1}} -1 + \frac{1}{2^{n-1}}) \\ + &= \frac{1}{2^{m}} + \frac{1}{2^{n}} \\ + &\le \frac{1}{2^{N_0+1}} \\ + &< \frac{1}{2^{\log_{2}\left( \frac{1}{\epsilon} \right) }} \\ + &= \epsilon + .\end{salign*} + \end{proof} + Also ist $f_k$ Cauchy-Folge bezüglich $\Vert \cdot \Vert_{\infty}$. + + Z.z.: $\forall k \in \N_0$: $f_k$ stetig (i), monoton wachsend (iii) mit + $f_k(0) = 0$ und $f_k(1) = 1$ (ii). + + Beweis per Induktion über $k$. $k=0$: $f_0(x) = x$ stetig, monoton wachsend + und $f_0(0) = 0$ und $f_0(1) = 1$. + + Nun $k \to k+1$: + \begin{enumerate}[(i)] + \item Sei $x \in [0,1]$. Für $x \in \left[ 0, \frac{1}{3} \right)$, $x \in \left( \frac{1}{3}, \frac{2}{3} \right) $ und $x \in \left( \frac{2}{3}, 1 \right] $ klar, da $f_k$ stetig. + + Für $x = \frac{1}{3}$ bzw. $x = \frac{2}{3}$ sind nur die links bzw. rechtsseitigen + Grenzwerte zu betrachten. Sei also $x_n \xrightarrow{n \to \infty} \frac{1}{3}$ mit + $0 \le x_n < \frac{1}{3}$ beliebig. Dann ex. ein $N_0 \in \N$, s.d. + $\forall n \ge N_0$: $3 x_n \in \left( \frac{2}{3}, 1 \right] $. Dann gilt + $\forall n \ge N_0$: + \[ + f_{k+1}(x_n) = \frac{1}{2} f_k(\underbrace{3x_n}_{\xrightarrow{n \to \infty} 1}) + \quad \xrightarrow[n \to \infty]{f_k \text{ stetig}} \quad \frac{1}{2} f_k(1) \quad \stackrel{\text{IV (ii)}}{=} \quad + \frac{1}{2} = f_{k+1}\left(\frac{1}{3}\right) + .\] + Für $x = \frac{2}{3}$ betrachte also $x_n \xrightarrow{n \to \infty} \frac{2}{3}$ mit + $\frac{2}{3} < x_n \le 1$. Dann ex. $N_0 \in \N$ s.d. $3x_n - 2 \in [0, \frac{1}{3})$ + $\forall n \ge N_0$. + Dann ist + \[ + f_{k+1}(x_n) = \frac{1}{2} (1 + f_k(\underbrace{3x_n - 2}_{\xrightarrow{n \to \infty} 0})) \xrightarrow[n \to \infty]{f_k \text{ stetig}} \frac{1}{2} (1 + f_k(0)) + \quad \stackrel{\text{IV (ii)}}{=} \quad \frac{1}{2} = f_{k+1}\left(\frac{2}{3}\right) + .\] + Damit ist $f_{k+1}$ stetig. + \item Es ist $f_{k+1}(0) = \frac{1}{2} f_k(0) \quad \stackrel{\text{IV (ii)}}{=} \quad 0$ + und $f_{k+1}(1) = \frac{1}{2} (1 + f_{k}(3-2)) = \frac{1}{2} (1 + f_k(1)) \quad \stackrel{\text{IV (ii)}}{=} \quad 1$. + \item Sei $x \in [0,1]$. Dann ist $0 \le f_k(x) \le 1$, da $f_k$ monoton wachsend + und $f_k(0) = 0$ und $f_k(1) = 1$ nach IV (ii) und (iii). Damit folgt + falls $x \in [0, \frac{1}{3})\colon f_{k+1}(x) = \frac{1}{2} f_k(x) \le \frac{1}{2}$. + Falls + $x \in (\frac{2}{3}, 1]\colon f_{k+1}(x) = \frac{1}{2} (1 + f_k(3x-2)) \ge \frac{1}{2}$. + + Seien nun $x, y \in [0,1]$ mit $x \le y$. + + Falls $x \in [0, \frac{1}{3})$: Falls $y \in (\frac{1}{3}, 1]$, folgt + $f_{k+1}(y) \ge \frac{1}{2} \ge f_{k+1}(x)$, sonst: + \begin{salign*} + f_{k+1}(x) = f_k(3x) &\stackrel{\text{IV (iii)}}{\le } f_k(3y) = f_k(y) + .\end{salign*} + Falls $x \in (\frac{1}{3}, \frac{2}{3})$ und $y \in (\frac{2}{3}, 1]$: + $f_{k+1}(y) \ge \frac{1}{2} = f_{k+1}(x)$, sonst + \begin{salign*} + f_{k+1}(x) = \frac{1}{2} = f_{k+1}(y) + .\end{salign*} + Falls $x \in (\frac{2}{3}, 1]$, dann ist auch $y \in (\frac{2}{3}, 1]$ und + \begin{salign*} + f_{k+1}(x) = \frac{1}{2} (1 + f_k(3x-2)) + &\stackrel{\text{IV (iii)}}{\le } \frac{1}{2} (1 + f_k(3y-2)) = f_{k+1}(y) + .\end{salign*} + \end{enumerate} + Damit ist $f_k$ stetig und monoton wachsend $\forall k \in \N$, also + $f_k \in \mathcal{C}([0,1])$. Da $\mathcal{C}([0,1])$ vollständig bezüglich gleichmäßiger + Konvergenz $\exists f \in \mathcal{C}([0,1])$ stetig mit + $f_k \xrightarrow{k \to \infty} f$. Da $f_k$ monoton wachsend und + $f_k \xrightarrow[\text{glm.}]{k \to \infty} f$ ist auch $f$ monoton wachsend. + \item Beh.: $f \circ g = \text{id}$. + \begin{proof} + Sei $y \in [0,1]$. Dann definiere + \[ + g(y) = a \coloneqq \inf \{ x \in [0,1] \mid f(x) = y\} + .\] Ang.: $f(a) \neq y$. Dann $\exists \epsilon > 0$, s.d. $|f(a) - y| > \epsilon$. + Da $f$ stetig, ex. $\delta > 0$, s.d. $\forall x \in [0,1]$ mit $|x - a| < \delta $: + $|f(x) - f(a) < \epsilon$ $(*)$. Nun ist + $a = \inf \{x \in [0,1] \mid f(x) = y\}$. Das heißt es + ex. ein $x \in [0,1]$ mit $f(x) = y$, s.d. $x < a + \delta $. Da außerdem + $x \ge a$ folgt $|x-a| < \delta $. + Damit folgt mit $(*)$, dass $|f(x) - f(a)| = |f(a) - y| < \epsilon$ $\contr$. + + Es folgt also $y = f(a) = f(g(y)$. Also $f \circ g = \text{id}$. + \end{proof} + Beh.: $g$ injektiv. + \begin{proof} + Ang.: $g$ nicht injektiv. Dann ex. $x_1, x_2 \in [0,1]$ mit $x_1 \neq x_2$ und + $g(x_1) = g(x_2)$. Dann ist + \[ + f(g(x_1)) = f(g(x_2)) \stackrel{f \circ g = \text{id}}{\implies} x_1 = f(g(x_1)) = + f(g(x_2)) = x_2 \quad \contr + .\] + \end{proof} + \item Beh.: $g$ Borel-messbar. + \begin{proof} + Z.z.: $g$ monoton. + Seien $x, y \in [0,1]$ mit $x \le y$. Ang. $g(x) > g(y)$. Dann ist + \[ + x = f(g(x)) \quad \qquad \stackrel{f \text{ monoton wachsend}}{>} \qquad \quad f(g(y)) = y \quad \contr + .\] Also folgt $g(x) \le g(y)$. Also $g$ monoton wachsend. Da $[0,1] \subseteq \R$ Intervall, + folgt $g$ Borel-messbar. + \end{proof} + \item Sei $V \subseteq [0,1]$ nicht Lebesgue-messbar. Beh.: $g(V)$ ist Lebesgue-messbar. + \begin{proof} + Es ist nach (d) $g(V) \subseteq g([0,1]) \subseteq \mathcal{C}$. Also + ist $g(V)$ $\lambda$-Nullmenge, da $\lambda(\mathcal{C}) = 0$, also $\lambda(g(V)) = 0$, also + insbesondere $g(V)$ Lebesgue-messbar. + \end{proof} + \end{enumerate} +\end{aufgabe} + +\end{document}