From ca439d8b58781327ae373c41eb64dc98c611575a Mon Sep 17 00:00:00 2001 From: flavis Date: Thu, 25 Jun 2020 19:12:36 +0200 Subject: [PATCH] add la9 --- sose2020/la/uebungen/la9.pdf | Bin 0 -> 139011 bytes sose2020/la/uebungen/la9.tex | 239 +++++++++++++++++++++++++++++++++++ 2 files changed, 239 insertions(+) create mode 100644 sose2020/la/uebungen/la9.pdf create mode 100644 sose2020/la/uebungen/la9.tex diff --git a/sose2020/la/uebungen/la9.pdf b/sose2020/la/uebungen/la9.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ac980bfa8b79dbadd6f632f800540afe906f4c49 GIT binary patch literal 139011 zcmb5WbC6_h^DWx$p0;g!+O}=mwrzXbwrzJ$+qP}nIP?9^cW>Od??jyU)E^Z)q9Q8x zTA8&nb3M6>L{3PAhMtxgl4NFKa0QYDpAO&Fzygws3-YIwv5l#d89oyOJ2U?OydZyy zm|Hm+JK+BmvC?-k7BV)pH8O_e;em8?axm7nhICuo)RuI_VnyseSDnaCrp$oAv>j-v6q8@oJF+08x5+jXRsxqV&3ldWreb#-U@dET!GfHzIimnjZ~3h>pEQ9 zzUBRL!{&Q)@i}R8o!v#nWBb%``M96ix4OQ*Ioz>nlH==D*VVOt73=H%xH)^TD*DY0 zlnFkWi_O{;q?z2+#{Tw-mae^{x^0Y%mv*7LeM5?bonhwXnf2-RP!oZ4Xqk}D5}@|s z4kt`XLNAvPC1zHemK;L9DH>oRg`iiQ8>faU7^R%1l1$fo@9gg3>)yovELm&KH~^V% zmksp*ql8eLcAcr3<+yZ()Jp7?ClgHAyh$PJRF0AdTs0f8DqZu;LpuZYHF@(~=gWLM4xrDrk zu$30OCi}GM3uNepap5UFCSpi>aMdlA>=AR4Q=l*YoB7kdhC(~XW;Y4h6%;W+->x0u z>?~@e!O+NBO4$3}cNr+2?06U}8SevNN zm*Q2^w`)|)$!GVAwwX1tC?LxrTn;HYFbU?S%j}+y@2?%m9ZfJ`Eq#e&AeIa&<|03; zkKR^?^g^j3TC9P-P@u|yWXq5#;L;)105L$&$;+BQfjxpNplu~p8LN*y#=GzBP;UgE zsHHj4sBfFXB1p)r8EVrb3WCfu%`Ba(=wv^t_2_7$ftbssnOusnGbd^bBSvD+H4bUk zK!&<$8EBPrBQAB&8XW1T&*M$5 zw$Nw8170N5UPzWZ|DcU%pa6u(Fam~u;%F_&6`nW8JOpVYh> zG;T5zLd3%Y;TutnXvHB}drI9~Tw;Dc*3^(agsh$UK=e~QTt2P}bf-cMz}uv8ypnG97Bgeb;wxb&&!JuaP9-9k7j zjdMb@zC`z#WsHx^YIf7Lu?6YPac15-{TfK11)b=NSD>n9Ry{YNzNb{*Q>o2*gULeC zs2wR#hyMH{t^ZAch+*Rg69soj_^++Vq63kM&qbp3a*}Fm7L!q9$bV!Yu0me=GG3@Vt@Q+yZJ6;-Q zw?-pbnrI|&3$08z;NSVekz7G{W;+I|7yShIn;X8Z9oxE(0KWb&OJY3WuTZ@oawhn` zz4Ecd8G#>UvV~Z0L|TTJ6r8BQ6?xwoWixon=}RW|w*XI-MBMnvvT$KVbNYOtLEZw* zeGf55vvm!oD3lSdw_HFrBnf$0Qa+^{Q>%iecp$V4!i#WJ>yqAA605CE2OwJTT5>p&NOQ$n0{y>*NQ3m%6qs|(ztHItijz|j z^Kk;TvU!S9rQxq78ON|3Eq_*}(>-wcs9U0S-MH0eRn{R1fhWUf)r~{T2SJ=XkiaX3 zu=qM@+uGKN9{`Aa3C(ZegwFYe2-6X+877EHm|z3*hXzOLfO03BiH<*-s{rXgiv<_d z&0669(4}@;;f4DMt^oQK7Th|aEh$KiY14puEkLaVi`lx|-szuUNGlD$Jy>x3(#2o} zeUCoZY?xXiw^s<0N)|L}+Kc{kyLKp}T-qS4`pIhHjT8eL2qI=IUk(I2uqZ&xRN!is z3u(BZwKW_r@c{!-dG1sk;4|&R$|@6p$Rji{EzOn+SQESV0@Y#G@!3sY3dEEszm@-* zWhp3w6yaozLdLy;S?;DRfW!_^qF}EQ9K98jY3R)luwaCZ(Rpcg&B34w`>FaCo^!{J zX_gZigF-0Yvsy&0tgPFk&kV)~jVnVoY&EKApb{AaL{uXkml&S&z;a?vnC zPfC^N+hMhlAQPX!iJx{=rSVV!sj^K533jdQAW>LuH)=6dS0eT2%`kG~24FH#qYee6>lolvEM@U>x+zyaqa&$; zg27j@3w;sM>;>g%g!G@;eWQQ2GE(VQzT1LmM43IHy$}-PQ771g(;t{ha|~f2XSNm4 z2+_Z{!4$skK@(?S-byvUT3${uwC0Y$Q(PJye84{m#@6E*9B`x-U5F}h<01*;WFr7IJ;U9K-R7`z#>ds_{xgo!-@ds2H02CA!Rs=BrT3yh z&_SsD3&ulacJ>@}`IJdnNu=mau{r@$hfMV+d#9Yd>6Kk*@s-;bkFRP@hWSArc|htH zA|P!V@8bkIM+7@~h=oAn3PYGoj?O^OZ;jHNI}9hh>HX^5oJll3d%rxha>$3AC~Bvo zoLvEfpbJR3BZf{=WV*~)JvSW(bNjjOY!33}3ms6^pH{wPjQAa9Y}|Z_cUF#$&{Vo5 zu{mRe++f0&-GOa#%E?7juRuv`Z+XFn==bQl9}$_14O2@=iKQe;VICPg9^Ra4 z;Ri0mN@Ap;H@DHYPKAO>ZE5~ez@S3JiKyeG$>C=EBa1KG{Dhe z=C(ANM6n@8cb$9{v#I(;w;7p0P@TrEBpy>LqRE>%mO#zzYuY7e6K(4wuRt?wLm&z; z<;4edx#^7}(6K}DX5}V)1&YkT3_0UuBFrwE{;xp&7|M67K;=LcQv|>dS%M}CANo}O z?1Bx#S<8uEA~_g*?YSUfGo^LR95Y!beyhE^;%C#tv~-;T3QSyEKhy0c?8^|nUC}8M zA5&A;?QNhum9q9D{S5VOp~FanxDCK!P}3q|E^|Rf^LhYolLfGOeZwUrA|>K>fHX%* zLR96>l5<~0FD2I)Wj1#9_RsFv$!s>rH&{lakXRGQ7@Rud*HMqwT(+tQQo6NIhc9h9 zWOLR5wO^aZo4?uw{W$`(W|E4b*SPrERXv>dbd^zc;X7Ki0KGSugG z^HydpOV?VNnjypFqf`zm(#&{0XdxlZ_Y)HNY#{DG9^A(=q%mPPE8## zp`M6`%CQHLwadA4h-l-nq_M;0*NI^3d6N>b>ZF~`CqkTi$_Mwl0Y34ck?pb>7>6IA zHdP|IUyx>>;x}od`5SZkgJpe2=+zveO@Wotm}Of6jd#;Y5R=5nA9>h$0rje&FuzdVALv5g0UItF>f7nlg)y?4PaJykv6zi!5h%%1^=5;? z)sf6x)SVnhfMSi!Q-pb?GT#*YtL~wtNT8)06}1>vxKi}%9 zq1B;&RA4=SeZASZUjA(H)v}Ut5RB5JH|ts{qt$_g6SLX8d@agX8Zr#?k zekS(4o7i?HG_zY4{}OInq#UbKvD!Drqxiz2=q4AQry(8^LEJm{U|AWh`C@45;zYT= zR$SfCEjC)z_BH}D$>C8@q^Xe+(C9qc?B9@FUpb#KUZdgYmn@(f5ylL=!6Lf-dTg}O zFDb`P`CKH%T!~O2QMgoKFdJ+1N9RbvI}*HscUcFe&@GZ-JbcbxTo9V*twn4xtLmJx{{nyd>bM+rLgyCN7}x`@r!<0F4Mn#G4I^GrB_v^S5GWa&`mz zI^JF9sIzF}&RC_-Uf_Yp%D{HNW|vJMl(bFBOfigx@1+?B&>7Yz%wMF;$~Fk|w2i?H z3xv(~zcTqcGgI(zabr7jdUz;#c~As-IX9%z>Q0g^FAs9MvMnXA%{HtqS~=`)kIqil zn1)(0<#c(!=epg#+!-|ATyG`jkVUHV_{u%pJTI#@96nmrlk@P5*HqsR?$(g;Vso*x zzia~rI?qH^9ZBOL#F+lp#s0XXnv~hCz+-@{v3jCq>KrNbBL%}fUcC?WRZbKmCv*}* zunr3%Geq7MKqYoh{5@_eiCA3sW*i;Y2Va8hh2-xnchu~6()sb8uSQ5ou_3SU{4TYBakM<)9#F)=bd?2}jS4f>j0dqh)F1s<^?^!A9rmv^WBG#pe){>L2GsfX zm+8tcPFkI80;7WvIg|KZjc|;na5D_Ya8ixC#kC35kxnGsSFHA$a+Vy2wf5XT>% z*2c77knw<%JE8FDa@QXWDG)lqAeRVKky$|#d^|Aar-p~OXOj?58*JX09 zSn!9mXTk*zQ|giHgDr$?qGU!E_ZT83FF3S5o^=+N4O6}0YRnXCij`|(30oyaviCOhU3OwPA#WbK44GyVW(R2K zFn=p|5ql{(Yc?%pQy*~02V119*lj~wTUJYNhosi4$=F-ai%=`BAE=a|w?*ywjv5`4 z8sHF&-q!78stu1%xVj5`xH-_@gLlhBB`-HbMhe=9s4Zz(_AQk_xyJugt(u~OuU3*M z=jH|ypn5wL6=J}>Mr2%?2L~?$121E0*e|cT)$*TNK&-e{f-A@MxYutF>-0~Hr=1jJ&VfSYSRKByLPt%o=3_gB*RxWGQ-y(ubpMaVH(K~Sa$cr=sSWb!@M{>Cl_LZa%pWhoMesiv7VL7JnGp9bOg#*7oYVlalW?{nJa`5eMr zDFu4MaLwy6T9sm-W~r=zihZ3$aX>!p(+IPDkkM8XVM|*7S%@=QLB1PeEa501oY?W{ zJ(#m-+n_rXp)d_uD3t7@ONWWrYu~qQ?jeNPIW2!_;XXD=pP1wtSRTR}sVJq|OJwS7 zTj0M~-l!xaBgt#h+-V~NQ#d{_ls#J<0LZy#*V1%_KZFQZt@I;IM`ww@_eV0iP#gjc zNf?_Qkd%oi(=A9r^7X8BVX}=vMZEhAWdoGevi{uEQhT#`sui}bEhmGE18oFc;5BQE zmI`-WvqceS-(B`GqZHaL8_g}4p@p1kV5JQb%%FAD++OarNZ)XR@aP2~CWg|7!CeO{ zb4}#)PalrHOb5E=9v{Lco1e9fwB)qAagDUnAd5s|dyUJnrGnP{A_XGo!hF<;@jP(U zRKz8@lQ5Y5VE+E-qA;vP06s!TR}jFmd|*4O6AlzgXx(7a$W55Zh?>&W#`ve3I8DtI zfd~~@x=0L4AL-fjFS%W0T^Dqj^USPEaYdy#XJ7VEb6{sQ2yx05%B8c3UVgsDlM|;# zZ9>Q>B+2btq%tmPY?29&)2PR<8Rx5bgIYa3@q1+oW#W~_;f|WZaK1ao^G$(lM&$e; zj5KAJ9!U`c9Fi`HfvO6#u>~c<0;(|C`9Y3MY10Lx4$ahNi`gjgK2;V8w>pB)RH36w zPQG5aOF3tR>I4nNMcE|9AY!dIR#my8>i0+7UK{nD>ajA=DM zRExIXL+~kxgUmWQbcvs!F!F1k8T2F%CB>db= zAS^ca(F&LvjHOag1jxpH>534w7MPkl?w5!r>6cW&ZsDgh9~=6%hUH}8$LyrC4t^_q zbgbe)YRm>FNu^XW2IAI1A}xBmzz*i~OK2g{ZPe7mFq@eMqAFPD2KG(w=VFtN{Bo=F zKVIC$5SlM{%j2h!0R|6o0opeS2AQOj4Xf_j0VZ1LJ5o}l9PJXHsn-N?vPFo)66Sk? z2W%4ux$q;@dyDY9K=n_rTN%ExisiXB(PXb=yUiOAhozM1l(!MY*u_;E#gV5fcol{Z zK@HN7){#bhBRE#|>PvWa#AmvoK6K^@|25V_%2mkLBv0{Ntd2kGWxA0#z%~@JAf(tl z9(Qa;Dbph$-0PdU%wSJ(Lu_BgU%#xwxBduuP8oiu^~RkH@+=x|weHtbtS347DV_k) zhn_x*EP(J{9pMLl1S;;G954{-T;7aWn5R^BI#IvKozN}JQ5IN}#m7>lGj-5RabzJ& z@~G7c${Ibde z@zY>!8iPFg455DYQy03lGl;4HQG?u}F_*{q%Uh;`F!s!LKMko4iIwq;t9b{i*WvY7 zrgj6?3=)QRJzDVUcm~FRO|2&jQvxIHe#nH=4aYEA-YtQ259wf0BQD6pwOrmO*5qxn zXpe)KapCS#_~<=>{oV^|$lfeMSbW`8Q;%ZBM?D%%^U7i9&n5=c4Uk+2_X`W}a9SV+ z*6Gh3Z5s9u)WUGX{=yAh;q*A6|0JiAwD1nK{N)^!Uj^#eOp|sH?vCdheR*DU zEB&SMYb*k%xp=dNFS$%@4t>-vgiuHwhd|<;NXVK>&yKe>(jI-S2-tA~n9B=qgdUBs zr}W7W`(51aWe_)R-+KAiR^oamXR2cAnuI-XCwqpBPB7bGKSd?F{|Xu3GHOr7uFy&$ zgXvs|X2=YsZSTU%qw=#6A>ozer?hmc04DJ)`XbX;_`U;S6vtR`W`Nk5HPc{Ms~clg zM0bzFvBWxRC=Cj2S9jRKsAG*d^|KuiV|&mF+&ZUzZ(W(#6Et}L+a6;3lFZC8WSMB5dE_U^8nyYOw!$b% zV)CFNHN3C3zWqlN0hVp!h1$o3oY%X088ae?RfQ5bwx(=-KdXXMXbN4{b*=6$XJ=irDEL3DuX9D+ zBfRp&k%>!x1MA};)82&j9Y-jQ>_4a&X&({|>DtAk*ICgo)PquUO30zC z)YH#6KNw}J4qEP_P?c|b$*(HU5}%ZeQ#AqsK}al@)jXS_lw3NR!zhb$?6D#f4K7dF z)L>b@yn*FM<8%)D!<3=piKv{HWXlJ21aalIR@A!(7u)@o4jxpa~ zYf8|!VIPp*5c8~2$H74gNdKVI_5b}dx)_2)HXH^z_rp#U0Dak5M+XhwzQMPE(Bzp$ zP`fB0&&we_#r<~htlobGJ{0XdItcC>R*>S`yc=J5ITi|@(W}YoHX=Ak&GfT`xP8!Y zh46SO8bvMIdJ<`miK70{?M$$`pWn)IIKHpBZmoIH6k(onO4zC?fH`va<3+!$;}qzV z;A&9s+><_=YZ%&m%v`8?97dBQdN3Xg=g1e4ILKgtvO)UsYp196iPxJjyzX%KVDH5s z_>p0^eJUG#XPbUQh~rFKqk-dH>n&ZHNttA6@D0lzT&)*&wou+C(gH%VndH?}TqQ^voA_y_Rv~$iOg(Ho;AT$>0%)*TzB!(aGF=R*uF12dl zl_Q}Ge!vB{_68k5?C(tplv@sF+N)s&+iUd+;+%^#f~Vgn!4Bk7(v8TaNsh*^mBxk^ zT2!bCLdU;VK`Z{(UuBE`- zA=R?mzip#hq1~=s@>LP^N%?l?(xqcX`z&~`x9+P}ovzf))8x?nV(tnvutFVtkoO|m z4C||Fk|B-B^L63t-o-BjbT(T4UD*D&Dg+ogHj#z(zoev^gD=ZRu6xx;{*3(Cv?C3Zc4 z1~dk@$3;NR_z=MPfjBL?_mekpf zhK{`snaOk{b)lgH_%=Jmkkm(+_j7`xT694a>;2BO(10May^rw=YSq`Xn_9d?>5*e1 zj$0XuU3>?oXFJ6F+C2ilz(XmjAVenk#(Mf+uHgzWp|0d!I#n$YL^r7wet;q71SaL# zAXAfr@q^0rD0!A@2Gn$;wqMn>0sg-7GPr7ZnIrTSYsmPsW5dqpRvn>`O-<)d9_A!b z@`@^0+(1&nj(Nv1?vZPKK2r=9+Dxhf7HF^r6H(j?DFzFcj%O_QR2W2@dCFs!qA54B zMnp;@|9iS^1J3OY5q|t$Z&;~U21G+G-f|@yj61CV2^h5kODa-Ne&Weoo}%sb{=8Gj z%e@1#V%)~1yL#MNo_7*2B%RXhCfQ~;sT19?t+lOJ0XAFoxRE=Fxo~YHR?T~EfskX( z9}jl#pc9-oUNXNl9f+5tO#g*ny1+uIUyGt9QVX3T=zvqIwMSK73QYii&$+i8P+xVW z!s(r&OZy5k^7VoAL%Z1h;sukT!&sgHTueJuHfMxPVc}WRh`N`SW0l76NU0>Q;Daly zZ4lVOZZqK7oewlTIt3<_O$LYLC;~Ys#H%vZ@qT+36l7A8$|(mL`>kff5Y|rDE9@OH z^*I8y5MRR>W*XCuu(!5Oy?Kq`P+_W<-=9PHN70EOkln9c*plo)`IupZg$I0zXhCGU zU*WLB{f?xT5He1#4zt&8kP3-`LN9j1`v}f{l+j0Haf7YqDAgI<*!hk*__96O@e6cM zPUKoEYIvScg^_2f&pe>PpBOBIJdz5oYsYz65c~~~9(81c^p^$^B=>K%KBtj9)#P;C zUWkX};yAr1tLdkkp_FdFsRofdR}|C1@bwE2ctDb$-gE0hV%zT}dSLhx4PekcbaPFB zwZD!{Puy$rRAmkpAAdl1)yJLxSq96yUd?>)Z@gN?KBnC61<9Zihgsji7iLBRG->U- z=aW*3TXRLha|O%}5-36@L17TZ0eb*S0f4_9n&axQtkwx} z%PExoY$W1}f?lVIQZs`lLUUwsgMJc~#AvIDH-B|cmB0^8lu1*>me`^>te@x?#B(M{4=t)YUzu)p`u z^7%foKpt7H8wj%Vsa5pqti@zvHS@!g!*G4Vo3NHg(%rH1Wo_jMBPswPnL{A<-9(12 zwO?p5o1~{g=I{DalDwzY$MQ-JOTsX=a?AT3OREg(QjNW$0#o~xx_kHN5vmLU63K-1 ze{0*K>3j>2?tRj~BXIZD3d~d^Bhc-&2)_5qJfhd|_>Jh@;u&|?&o-i0ld;#AH_D6<3vt-$`2L~2@bD;jX)6`?J)U6$Z_njF1(uNo^SnetmKBWe|ll~3g4E!TxQeV}d(j7764q!ftSBL9o)F{e&219CYsS3KnHwPw*~iaev1KU9 znay?Ti&C-l#|2kNu7A!WR$BR0y%~3XF}sKcVd@0*QdX>%ahj8X8}za%6+hhU6Z~@v z4Wl`YsCkHX2hal{9^916K(+D)H3rY(d_#^VA(e2Il+HBFe%bYX0B)|`i@IqBh3Any zsDJ&K)vhj|o6RlP;m8nn{{_?S{Y|5A>GvQJMlZiz`yP*h zn-^FXT^rK=*;c40mlh$T2$%5$$sKg80gwBezc-|#d8iH8WMJ7^9c9%7uBMhYt4ZyG zYOU1H$+mkQt6vM;DZG}(;)7e|*iEW%w(kMlyhoA^p^Vn8DFzEc;Yj;E8#i!4vFS_5 z_Wb9A>={{+d!!`D`t%B*+P<93S)e8&_^*wcwJ>Xs6Uw!r^>la~hec<5Gb_$}A`t=3 zRSm--84Gt6sO2~b6uLsZNKs*yGQ?YDtOc1f?S1v(_I|WMjCmQ{9Zx!fYC%*wW2Z@RpejUA1c@oB|zgeZ3 zp{Ko|KrcWH#1CTlBT+liIOBydW6{#D($asU0%80XEBidlnf@Ge%PU3GJLdPxQ%-<- z)DgqzD0p)WUNcl36nc?X6JvGAnEdSZ+AOd7h2ZIAHo&HagAd#+RdI4C;C%ZQ5L!>2 zGXd!=Ya{#6#_fvMvOJ@d!P+t|U%S;--@t3^WoYt zRHIcZZ`;~_ADIrjHNGgnoUrN4P2&d{20^IZ%=@wBJFpzEh!h>zi)^4tp&6l{cxdvN z{b{1JIvb~sabAN245{ons%9?$cel?LWcbxilA8G$0#(!R6`(AH=L<^_gTL_#b&gxI zDZ#6DJop*Z?#(eBdeVtia)05gbNoomVXNWvg^yX$pQumA-M{s9q?_5}1p-*#Pz5U; zYRJ8nH|h^7EdyZl=({(Ad27GVEgB8*dKKanKp6o3UCJsat;>F6Z7xv=Q!|bR{)V9v%JlUJt&DKE>z2sqDaQ_JPEqLopq=StG}-` zDy;WdwZaaHeWn%wlXb&VfVrTsIQN?ITc}k%wmpk}<|mH_ zBW~9V4D0Z^VPyujf2T?_w*krnK>-B zDGKEk?-uo)>4z1{4M+16Y*+D-4)RC$wZ-wSEyfX}l^<`9h3ae_87azY?{nS9%IXs` zm~g*0XvYrACn}B}^VKRNC_lM;INzMP-aLaE;il}eSfBB`^n52pb9fwGq;s|yWF%ug z6|tt$;*AVW?T2_`w($7+)Z`wFs=x@8fd_{T9(54{5@?>Rf&r&+*vqSE*~gZ`7=gDW zR5=S<ApvDo}rwmiE5E7Mqur%J`5XuEGZUTl(W`r;sv1vyC4c zk5^}OtQs{%>X3q>8}O4Nhb0eiO(rT-3s&Z!K-v*jk{4i|^Agz^iD@#$bSh|M_h{z!|M)$(QGbYekfifbYr@>g+fHlCr@3 zgLoGZ1s2OF2O76^9-(Qyd*z349#)lPSKz)}h?vK|=4a29CHQ$zixS68eU0&pXcIKO zQ-C0W+&Uc2dOKNsojdX3!~Dq0FR6s-!aZ;!CrtJM1_aU{GFck&)67?GB>}C zE8z6a!?w8#xb+ZKTbqXmIm3##MCM^*nKa+)w|L1p9&=9?9K&qnw7|8%WL#dmM^g^t zi;;{IY|Cm#wNW^wnZuia9|>6o!~?o`a|i1!Lt1(6@CbV$Ad22*bO%D&I`X!}8~p1v zbQY0(>Yy9Yq-7afL!b7UHw3I|of5YY5^A@$wSgXmcyCpa(+v9z-Q=gAwIl62rUb5M zhQ%tp(oD>(q9&NY%rW+tZnT^-5QoBH#J1W& z1XL6}*L@FBnl;un3be=%YjTug_B{GRj9la4XRQ21W0?P8}R!ZWb|NfIABu)8~)hEkzp*`0a<2)8|Od!tB1NGP^F zWC3NOK({?;Bj>}QKpV7iX(OW_;L*{2eE0XfeB%MXe}BV#e1GG`eSd%ZfBw1PYyJB3 z{^#@WZ{7htBW^lJK9hh6uvNf%C?m2F8(LM_YCc+kAxCGUe}ZIU{R>D|x_=LnWr?v? z?hi1VSMlb z=#iB#JmCFrU+4?G3-klH75~Kr{#!gS&L1Gv38ldM@2F3cpLj3dx4e2^y*_^9iwRV5 zPykn$bO3)r&h{7NOf3H%dHtX8D*Zpm8Nl=YC%i;Rx%hG`K!gdIMMR?VEMtw!s zfXGL4&kxGv6qM43bFPqfDs%^PuJU1En8@RYr};g4zJ9yka7W-Q7vL{1SOIRt^j$^Ul6kY1tH^q z4eEcBz%28OjLLry0vQ-0fg%C_H-QE5w*dw~#s5DE?C_Ta_RFV*oaLjb)5@lW{D6Um z{?1dw4SNkAjP^x;dH-g-nclVC+3xZ2`v!!^)AIoshB+{N1-`)h`mX&3@6)Qz*7DZ^ zxb_qN{3k5tzZmcI3=IE1a14tLOe+6@rH=$k#Q48a5&Z)d#{Uu31^Cyv?~CoNVD}BU z?;hM&AnyyD*A8z_&o&=WJa5m;W0D%ft}_L zq(z8fPSOEe8OOAn$bvKpafcbM3}FEljw6PrI4enNY+Kf+B;t2$irygESO?z#h;{SL zJX=^_>Oge89|eN5Vp)jZiy(xgLevTd2{RCO&)Q%5U6Voa{N$>10G;T!xonq%iGj(5Kg+K{Q@F{;fjNh> zVAh2xT}<6Sn|7z9{z(45B-an=vHvLgyua940Tdur)B_SU zpeWYNdxLw@PY@J}Aoi^6evCCQ6Ue*~;Qa{TTt_}5@_qIbp>edxpcgE-O*x<8b5Rc= z1%3~G+2W>>-P+fpbEg(#1g99bg0L=$lju5t`uGxJm_$%Te4^fv&lcT|$EK6~=KU`Oly0ESvS-tMI3d{||3bxI z3K9d|zc0nylXVt-ddQ$VNDRnV@vLT7P$xMD!z|i}VUQ;97Ylh#b1}h`C>&xaUUgg& zxCDkFaob3Pu-iCShuMagFUI-5cuvVxIOX3fGt`>n3$;Wn=GTosNrWkmq!X0>oVC** zD)_p*%hC^8l-H%Ebq`~Di?J)_g5z%d=xq}S!31Y|8D!O9(m7|r7N_1MvDO_Lmlg z`7dRRfsyTB>%H=Hoy5R@gooFvj&AT03cKYVD4kkVEJAOGs~0&y1=XM^xsL)8)geW6 zU367+g+UlXW|A zjrmvy)|cD2SDu%n=V;6w4KEulZrM5mApi`sz+>|=mD%=Na4#6>ZeUCaephRNQYqRh-RPI1F6Cg zXv_=Xr%ow}1o931419xo{8Qik_~EC&0DXZ|D#%pv(Etd35r_WeuKywn49x$&IrE;W zlj)~}_uGx+QfnuP-SGsN&;Qebd6~4E~uHlW^Jr^ zw;Y?TKBXwRz&K|H^jiy{-W(PSRZpcCaZVNPr%zqSAfCw5^9@>SATHO2?lLrA+(a-R zj!$it2AOA>v&cnMDj6V2g}|bldjl@hbAkv5KA}K_+fIMT1w!s<`b1hQfE&Fkd5^oG z3sPXs`w=ya9?zd&F|U>KYKBFJ}c!Wrbc?(4_O%(L@Tv^JaMFMR$*Tj<&U z{Vd}=)dkr{2M>Njg%PBA2hm1GSA~iL?Bj<6l7&4Wj)Q}ob(xVSdP?MUfzN$io*PN< z%Kz1dof7-@>ZgD?HY&=5Jx|cj=%QY(>b;UjLXfw> zTI3Wq5`*6iu!l|+Ah`|Dt|^IpA!LwrR{4mahk z;`8Z;cFyxr%WX|1v$$$;NIRKeM~SCh;|51e2v$X)N(j*ul-52J8?8IUUugM@w9vED z|7&S!ny&i~EdVoOA$>HTAlFb*70KnoAdzcPep}hC(LMHsy_LxAM4z%S=f?Li%K`1q+>A{lr zX@|_J$ioo~Y z{00peUhMHvAFh*7is%X3Yv4F816!17-^_20B% zaa}S4bkM`v^g?$IwswzDd>T#4X<<&-h&XY225kSMw?_{!Zbep6odU$Tele_>1{aM2 z280nlbr-*R_nLW6Im=7)_S;LEOO6t8Exd-B5p0FETY|1~>=<*qikkU7DSR6HQM$T2 zx$`%*aulOoBsaPi|8v;p9Q87^r~Rh&efo%88#>Ar?D6uljX`O3YHL35O8@r{8FTFiNKj%Jov6YKbR3FkciL*Aaos{noHshmq)dxe!06NiczWh0?)#@k-V;3G2)~fF&K>k9ER`!6*y@Vhrvk)VnCrtheaq9P&SOSxqJx? z2rRya;zGq)?%qN-+)h?8RuKXFF+l-v(gvJ1mXquEv#8_Pm_iR24`siK@cuAE{J3zC zqg^@`<~NK}>dnCrZ#R)AYF=F-38MN`4DksTxX)Jj3elEnI=}&(^5F-5bLTT(?mp=t zyKYY=*^=$64Ab%UOZ$F*Bxg_7?sZ10b^B?=$CYI6FIkui@^wdNInE%7OGDr5vwj~gI7pGE{47? zsT4OhKBruy$lVAg!emV&b1uVoO`O8a3?$lvtjlml50BZh#SXd1I4a3d%R|N4Y~G}* zPQOa8hZ8n<4K>&Aw?0qf|G>53&;)a{=fV=}$Q}ev-LBfdK&_{~zIXP?It=3Ygg(%` zPiBLr7d3(^1noE)1D!Tq#gXIqeQ-mYL-u#xdgg^n$vfwn<#t=V0=W%)jCzPG$S5X! zcyf3netYiG|KNh4qj9cv!o@rVF+UASYLK~>Af-HIVkAt-DR_9=d>}!q3fgtQj>|n0 zBNM?0FfV3~=~^M745_k9je`9RbGA2g&OkH>v{f+NQM~QdSB>`9Df?PgdmYRBi|s%3>Nh z#=}b#UR6_r*2xmBGNM-T@j>zIsR?oQO||OynID+Oqar=vrN<#Ph<-_;@Pp5DmmW-V z!6m69hEk!e+4aQYN&ba0Fd>y*KcSODszlw|#)@Z2^=##=j-u#ib|y{+p}3U>;(icW zCxc(NxQ8surZ@-%96|QVl)XjGvzn+)=9ohuP~eprvhT!qDdg`j&FL;@?NPY&x^XF1 zc{Bs6&Nai(3G5tgRZW~tV}0So0v=fA{C#j2HU1PzaCS%2}D3UZ8wAyE1Hg>_~@cx7wJ}l2n?uk+jfk zuP*iGVk_I&XTD}Zak_S)aJbz!CH`!T$RCd%yt z!a6Pe$OcJcsFaZKA)NuMygNINEO2@LI{6X zMluOX;=xizIOzVgoStH5sP4pyS>oeHKopH@CiDGF2a?Fhl2T!Y{=aNfFbP z(^rN;dnd>2B0S*ni*u-qzM=tzdya{Qm-C#GPuh5JwkF5=`nN6XOZl9boyZ)zFPfPS zGaJ)~zABAe-W#C~>HX;a1Vb%Y_4N&Lp9AmEK^M=~E*2^oXd_q8No0hp2k)HfJPpFY zNZBQ|I*~dk+b0nQerL^{s&X92?@a%k1{9*6Ec(z*CFAK1S$)>SLK7Tof~sW&!jq3n z#u%5Ck-S8(E^DN2T3|7|u{PVvvR$Lq(xc*>U{}2c`)WJO3e+mQ~NEmmSGoFiE zCb_@K7JhTwO{4@9JwyWE8D8eLV=zdUlp9{EAdF%_)L{Zae(oRo016qkrD++e1Pu3J zL&;r|@p$k~ED_dmv377tZv#xP;}s4AOcMeCsgy2Bpb(^%*gF!prquzRo%tPETJ@UMI`rUBxXH*PiO|Y!8K74;?{m zl(+qP*_K3$3Im^$2fwDhyyL_E;f2#iX(IWc0aKpU}usu0tOLM{8f<7~>oQ zB1J^sxApF-uzz9|%T7p&R)+rE$n13O)6xyeyifEq+(>Wz(?w(jW&Y@*jo54YISuq!pz-5fnOcKZ?phhoG_@W3swV| zNxCB|{@Ls(QjY-!5TY1=X`Om7O(hWRe-Hr4!k@sdHdt?ry1Vmd!(w1a_887#ghyzA ze;;%Hw@+*FQv_0^{s`y+Mlt=@j|)KlAC*~4(rvO^zD`q-5G)`EK$GMrt7Yv%+YIMJ z!=W4gO^B5TMQ|W$c+yL^ua{qUwq|;l-OwA;6lg?Zlmu7%qT|P|YAw`oD{u<3@D%iN zuf3WzJuNJP_SMtkCgfTtJg36HOLg@Ia@d$Jp@5^nN1M{R_YL$i5C?bMj{4a@Kdk^f zHUQQr{_D(-WKKYUtoidu5YYX-cOi9!BOm^$e+RKx{2_mno(F&d;x}T{UFRWfK|w(` z2rCFEC>JQwr(qvlRcJ71F)a08lh9!e6 zZ@W8hLke!8Ay6nTb@ETK%Xlpkj@Sj`fc|kAIRAxo>NwtIkH`VzoY4_TP_~Rk(1cXS zEgvMF(3genircD+qy&$j>Xl7?4IL@^UUZJ;dt9BNLffp)izjL=!6=rgvde^Q_hix0 zntS>o|N&jjR|AwGOco8;2ZQPx+ECcQZfv>eoTi?UFk>eOg2NCyzc79 zH`xak+He7 z6~>6~9DtOCRiNOLe6BZn{eAxC#)>=Ens9vX{u}By#g8I!QxF1BMIc!7f;K=>tq*H8p1K2?y9_Ud5&NyaAb2?zlHTS)Cc96=rWEoDTv?%dQldyv`3#w=PtX@r) zRYz58-<_tG8GC{L03F0UH8=r+gQz%pe_!XRocN_@AYmz)>0>UfBXdX1y)<}`&6M#2 zR=k>m6_1(WtaFz3C?BNvtUaDywKgwL$>5h5|2GzqjX6Rq(*3h5AUW{e1df-Lg zu;b`t{E;4n92b#(}YoVKdm~Nf2Zm) zp8xMO%Pp`AmYVQRfD$(rrl!{m04WF?FysaZ?u8;KaXTrvkB2m@vl|Was6%8q?!M@ZvVAvC^P^N zP8Jwh&~CPAk)WG!-TM>Oad{aA!};WJP#q`t?>C!96C(;Rj|uAjLpQYHf_6y$6%wPk zfqMdqJ+eFA4vb5*7r{_Jwm;FCs9Z#`3?XMjk_P<}nPLj%gtsP^vMZ)KA za)>JXjGwkYc3!B8d^B(6`4MVPmMrw-;->H7a%(g_+xc2?>zS?-ud&oXFaJk*>TMZX znnJ-0R!(O#WCQ+;*L=yQrIw?nD6F&Zx~7h8?D1CiYhfe{-#fQWSn47Nl{9yUz^DGiCi(j?3+)fIpTq4{~R#jPFA z{&_q&U~Y(iBsI=ouJ7OIQ9LKa9=%h;1MK?>gIx$~F>t;z?K7YdWFtWX$uKpFbw>&gfaLF0|oE2T{ZVqzi-e@ z>FxImx*?rTdB^sWEcF45eIsATSzlCD!;AF zig$$35E{!t7RP$(`4ayN@^+t=SuKe?K=FMuY_+=l^v+~tW$Y8qIYME~Y%FUlmr3GC zLwe#)`FFq>9@ZycWVz3Dnji8=VW{XstabOl7o#wtTGUTX687JqIuCWK#}HftONrjm zzzZTgZ2K=Rnf7?cAAX8`b|f}%*cI%hz)oeA8L`-)BP2~U8!H+ed%FVLM;aG~cf=Jz zU0O5c^wP7Qk58kOIj+yGO{4cr-!us)h0Q%KiZ2mOdCVY^G{Z(BdfELQSZS}JtMN!< z!%6XFd%~D1`&qG0mgd7G{rBHAi21atN*W;6u?>#-N1Z{X5#NJad&dB1V9Z5d%l6U? z-0s#d8KWX6+(t^%To-txWOoKi1I;EO=1uif4t6b&F|8m!(;m`fWhHxa{P&&hz1(?9 zC*;Xcj(0tlK^`*ro!PqduVu5TDM^=Dy4n0b&SusCa;81xp}bPz7Vu&S2jp__{yull z#RGFy{E=dR=sLdu2Z7?>ui1}=`9FArgZg^hd|H^VQGY*GC4*Gc=zkrK$B!b}lwnYdb$^^+>!+~8-?;It`($O|_Yh(NB zV(EtWbE3`KE791~in`g4W{F0SMa0_X-kN**C_FLw;3>Tp`)CG9EbvZW49(%Fbv4L= zPV^I({-_WV4rG)maD%UN*BcotU~iBy2EaIwrs61Yhad!B1DsA%Aj^(#CcP&k#VSqT zHW7o;P^+vL)e#VCJV+pF7V+S+?>bRA61sUMQuEHzvE^z&Qn6@@9@`wLzkpzhZWnxBRz!1V0^{P){A61FQ z_QzekS7uuw@LYEA&V9|uZw^SkTzdBx4y`kmJqvXR-8&tfWE`G2w6vmcLHguKn~O7E zJ?55^W1l6RB#4q{(iEi}Gnfqdlpr}tXB5b$ktUbbfR|)qg z2(#X1E%4$22exwli}K|-&SBpTChR+~LE;dWXthRLHOfzQkeg(~F1|MF7zSGL$DS)NW)5cx-|4D;aqE(^%eo+yJZ%<0K$R1 zT;Si&Or8@QialULz@jc9cIZlr7yrN&@bmGgc@D+~x)+{@8{QJ+huw!98YafH47!Il zno}(K<~*rr8ChBGT+aBNqVdBWb{w@OinDb+wrc*KFNVUA8U^2aC%iV+jqg87G%_!j z@=|zDTQRo3b#S3#`TodaSi13D1;unjnXc{k&dTq!kD&NXcUMs$r!nirsEdwL%k-NmT2|2-vu|h$ zaTou$qC4qpLI-|MTz6{l|HE||yW zt5wvS!Tl1wl1G|+m=UP}Ij{v0j~6)sZ}qw)tQwDj-NgHhT}@mK%xQCe(*>R+Doyio zVcgw)WhwDEOE88Nyx$dYz5KLHT&o?y=ScZ0Des3u9tV`uyJ>}N!1p}0op#}heu%~A zT1D`J0|(=C2>iZs`!_*J2i&0cQ&3U^h-)fFD*a`Ck3xXC-_dGGPCA3t&MZzzSIG5#v`!rQMci+*VUYAR9VIHUEN}&}RC6At>7wYc+ob z`w(k57I&L8gX|Ux5Hz|4{4zWaSUeJk7Z!N99VSx#ZmSwQDvl9siif<&B*u)DNP?D) znR0VY*n&SyO(I^YFI8brrZ>elT;xL-zc?ADW#Jh}ys(ZP&u1-&!4v;!U#%{)8vQ(f zOQ{r-0jDGVCTcn58k=1CR>J)71A_^B6WzsueP0q|YwBp+B--w5@msv|{_p zU(Gz2j?gXR-R`uff;<=>>^)MwsQM5E5MnX)MZPqS$~7=w)Izi5OTNK){30a)@B(2( z6J`fTdMknlCkz~L5dQz^bm;t;M}o)(#}X{U@2@tY<3^FD!5{`@az)jYj_vB4IXp zV#5pxc4~f-aphX(&!ppMrFiwVc&rVCTJ_1B6K*LKG;74>6!I9ZOI@5?*JMJQv52Pv zt4^JbV_pMSfuoj^_bwe|wQU|3%S%{~@X~Xob7oq0eSH5NVqKf<24P%}MRL3sMfMpX z2fw+AbFAEu$hg3Ltbwz6l;EriO|JJ`Jxb%?R((eG_B?%tif2%Lf=xu(=stm{bKuGKY=h{Zc0AFsVVq z|8=hE;eTfP{t_m(Nl7!HeBgbMUnlj#ZD3a}6edOxLW4~EK*Ok{uzZma4Qqpe{i~ZV z2)UqUre&~S;(j){g^UJB@Ky&8WB&_ZP;7jM0ul#aUk4r-9Cm>1Welkk*jtV64m(0> z`fIZdnxEGHm;$hh?&TK<1=b{VvP-UCNv_{oa;&7;`0b<%pZT?{GO0S#KW4RYJ*|7< zSKz6-tAe!pdNs!|U<9<6H?}&%N3t{Mc>dM>3UU*Uu!)rAAj4OwGcfWkKPfgOjuDG- z)7w%~TZ_AB2-@{k9jI1R+#5Ik20@7r0hJdaV)B;UE1nu$5*m$VG(@6x&nl%HN&btB zeBD;7zZqZ(N8s5vRVB~2AGBq6=!F%cDV3#AdG6hDP<)vKFgo>6To{+PZ-N&+c!2uf zm^Od;6%hYWt$w;T3I0AFmO%=yGyAVYZ^Izcz(p~XL0ra6JC)!avs+Urs+4~k;0fE8apg%+^zQ05&T#yeXytTps%l~c? z?oY`UM)bkx&7UHux(>OkuKPK6O5t8U>7@>e>f|&jtiGA4~Jbh;5SwT-#jl z=aB_dU0aB$b^CXQ=LNw=bB}O;O=Ln}=)xKC;oyLS3^@dTpPFs>HSUy37-Z)L*QNcIVRRq+Q7&}l!@Cb* zZi+Tets029{AUV+LgQ6_VH3KANJ2Of;DiU+U~}caeRcm^#{D%X|9{H3=P;N2HT1tF z+CP^49}+DX&~^ZYc0r-!3GzQDsRJUc;Ed03aKgo3zkfty<2Yb*n|RV41=N}0bYPNk zE94N~1ZqYnv%=J{8VyCvST7WTyRu7YDO$^x_vBs;s~B6~?%rM`<_?!q?5FfUFAD4y z$m5x3j*(7romj|zokFJJi({ejC{aEWTWog>v)tjWr83J#$oirjqYXa@V62N6r3tLe zRu3Vulv~uUWWpi z-nvnhHtXoZ<5RL6F+m!=hOr_JZ%RqbP*rD{VaOY8UGUjE_SU;C45D2X)d*T;2s|vC z_1wg^KK{wj;j^IA+LD{n`2`eVD+>=+zh;Oh2Z{%cIvL-YqRZQWMZ0GlYfRiDw({&% z-<-qY1qBXj`&YUP@8ln^MF7k!B>zeTFi85hS^NJ1lm4p3v!DU4>j1TYMQC?F?yZ;; zv=f?r13coQ_DAh;&H#a-X11``5jq2d#nedZfFrPHBY+gYuDJat88{CKaB#u{RlmLr z_&0PHkgu-> z9@InDugJz3eEtd_IgOUT6Y!}(%&Qvm1oscfnB1H};pj;pwM*p*U_ z+QbBg3e`o#)-%fHxa1Lu-Af@0$5GB(2`|xF>}(~Wfs(Q%@HQMC_~Q8&O$cnmYkx=p zT0c6~S{Po@`iWP7Ka8<=|BEp;X1E!SF*e-r686MGI0nieZ!BQpV_}ibBBJY3FM(k4 zGGrL5X9sd0_994k0JC-IkU9d0I+W}d9P9#=#CC`EC|tl05g{NDDpqa%Gxd>p%E56~ zaKQV@BMzS5*JS_3*QkSef4&g%hXI(>0P=4P!2huNb^;Rrv)30&PP&sB50t-veupGo z;Ep5xTqyyE1rXkj!UJdgzrRxL;Tnu!H5m6yM}m)&_{d-bdHbcV0#g^38=Ad+Bz0L| zcwuAYm91!WylIx2ZF)<({RK7@w;h5dk!N^VzNfyJOgcH*O&2XEo!+xq=YX4GIgn0I zyQ-O*Xv6h`wObwZQ=&Rd(V=?tXjsGkF4;$uY>ezlwk|e3^!qkMV7q&Z*un)R&n0^Q{MPl3V;s6JaadQ2O zIE;!YcB_&09=N0HdE?c2F|S`BJ|TGj{k?g9r74Oy6Y3p|8FfE#zVbxBn!s`YSfw1K zJ?{w9RzB?yDq{RL7ZpoO)nhcE1MwdF&Uvaa+9&iSJEU$+9sW+cwkZj%mL+nzpEE7p z`d|`a6TR$)MVy?UFfP2hH z1r;GbMxh+5?tW%0E`xo(#E43^im^pWXGG-GDd| zy3MY6LVTmS&v>Ry8%q2ozGfE%w$^A3Dl+;BXY;O}ya1+cCy-3ODYhKwE7lEp=@rBu zq1~yBaHkXb0f&sHho;GhS7EY9?Hcmxln~a-&pE0c82CQpUU-RS=GEL;4k1%v85fU0fPlD&i1dd`A7bpDlaSSQ6vXcD59K85-b>U#E zXw&T2UXz`jrfSAr96IcVekBv-R}pe-<~zini`r)M=;aw^%cAJ@TvDlxw!c3SQ%HDK zI^v^a zOI(_of11<(PvDA_6c;v#3*->Odk;K-xv`*TdQ>dDTGcne@Jm>+?F9eS&)aiU;6Z0t z7X4>};QakQ!tqZa)py|hi59GEyx5!tV*t(&bD#c*#_ZtrW?JfQJ&imDo_c4eWBHTj}m{vm^?x2p*)(s3F zP?ThviR({hDOYz4JY>>6#Ma8Q@PoJgaM0(!F=KmQ7$T9bhj>HO5Jw%!@iZ zoIPMYqw3YU9&A6_AO03JUwNE6&oHzT&gv6z7E}9-UFS9FXx92m9migdLCFg*E zdP4)jG`cjwH%dyi6KURH>tdymV_coLjEQ}V`@=X>$du-cR!F?TfiEVklTW7OjuH86g z`m^k9;l&OfO8pl@JE^}a5-T#MxW@zL45t0pjSV@Ekez>M!3AoR$YNdU`@KjeJ^h>1 zn>WuY>rgKeSJC7bPr4CUWsst~X{tm%CxbFu?jIyN-Wq%LP$qa1{GjbF&qs?8!oCeLFS{JQUfhO2g1LH2?juU7^_Kj?HJ^$QrwzQmJ zmI;SYz$v-qm`|Q2l}pu_(}2%t9@+OnfqSLd9djnU2G0pC#byO+oi!K@hA;M?UegLa zR1%;QTCwWeijF4h?<9!nM_Zq4c^5kFqR!IGif2#F#){xg=uXtax0K@DlbSfPkv6xV zXc$8Mw88DeZFqi4$9X_~ss=jtExRDGhhpU`&#he*EsHXyFA1%bQL#NthXwXKckHxM zI741bm3$2Tx`j%}ss~TXhUpIfOj!RyjPM-$dH4Q!^@{{@Xb8x5n32#*OOvKW#@8Z@ z#AqxAh%34gyk5@Qp@7K|Xk2yZk%-T2?C|5ECLfv1q=|SuS_{`>B=Y<3=GCBczGBWE zHKEFN`B2zV!kFKY!f|;TZEW(@Ym@KehE~zSq>=KpNTWfpIT9c}jExDbImpR^!u%=5 zl#I~@{cG2W#174<2lYl!>*8d_OoqW+OkQ7J$paesR~C`UJ@-(> zKL!xs9*YIeAXE%@B_Hc0=yS+-&Atb!uu^TQ>U>MNAn06meHcaZ;OipEC6=QAoC62b zr2ZZ~4r&g5J}?Hml9iKHp8!ASuis$B;n$DU0vx{>(Er^p5Zi#PMW|20tCS8i z?_e`fN=8i1&+~KwB(XW_Jszif+?y{;@xVk(n#7;Xp*<}4=v#Gm18rz`9?>7pzS+6i z;U5zn*Q~IsjWUoJ>EcwAB_&VD(L|#zzh8;Eisa(vR_E^KW;Xuek+|vUV#jyVV?k3A zU9>6nO>SS3I_#B_B-Y~~k0hI)mzpdl1PcJUMg zIfWny+h|_B`RSp8K5rne98Gb3Zg0^|>rD{>$jBED1Hynkl$~sNmT{uA?Oo;yYsav$>VB5-L8K*GT5!?`fR9L5YnAJt!BqOtm7-o_86DafVRUxT)A`0EE zy*f?@vM!#v03cqAVjdku0r=t+0mvcu@8{#FP|LDM7V&gqnB$_94Kder3!A+HBowWw z$|kh29@9{*;snoz41*~AQ*jUnA}fFpT*}+svFUfn%Si54kHco6JBceyBi$J#ln)pR zaBxgzGg$k^E{mzzOrJ%(@pZj!Hx!aBizpgfU}B9dDw!VRy+5DLUr$Lh>SXFuz95Rr z7!%+)V@evBu9@&GFCG`*g%T+8z=7YNas1E?5sDZjHi9d1e#tMM1JJ>B417wXvlzjS z1=39rA_cg+034mjLD1e{;I z0klIIG=Sp%B!{xqtwltH)aSZwxFMHstg*Y`Whgt3mRahBs|PN7)%%PhbHB!idYro_Af_tx3po{kySMeqkt=f6(K ztHKP#9vHk3o9zyMI4jah{TjFS8aW7by3uhDwi)?pVkEK8(s2Q9t_VJ6!iGoPQ6!5% zzgaoO>J4@pApb07L3IRPr=)K?fVB*>Z%hdGk|P2Iu9+IH`>g6}dSd)l)Ayy9X1E6d zU)}&H*4d~rh4#Cj*&%a9=s`pFZ*h;=KT0kI(1KqC;Ozzkny_5p&O^-u_7R|%H{#5l zsEgGR`p~I~?l@7xTW3NwKBwX7Vm6C3V@X-C>k*Y~}nstt0iQzQe^;W5aAP)UbxlAm8c>KzoGx6N!L-ZZC~+oLvBZ|?B4GCXWMIqiM?K`J(C zL?`BrYvFBtukSMUQ^L(v2Yqt`_T6lgO{C8>yxotP$2WxDqMKF_;T!rM4?W>MPG$E) z%lf3X@N!Ah@3_q`>4A<=AM^eR;nN_WQEqf>jF?!&STg7=fz9^vA%XwbeqWX_DPpXJ z8@*k8P>A;H<}ACt5`_nBA5}C2HGudSJ($rn@OFvKVke+ca0VFd-eyOgaKV}HPdTfG|IIhW;if9pq?STyb zTC`jP+HIPTIX9ujJ11IPt+CP)NcfJGL4U{i6EdT(t|jMD`sSNAzO6gG(LN#|FUK1X z#ukmMD;k<-TB)zSMGc|H8|>JgsXUx*NVT;5hLOcb!LFot<|_pJ1fJ< z%(X#x_*K`fz^cL6V=K&qZ6G7o@@R*`GqGYS?+yl^2LA{3Y~&fu~*iCeE5dPq%GgkwJT&iqQ$O)=FA(v z;FN!sHJ@9&t1iwMcGk#pPq-5HdB|0`36+mK$lA}8&!9b3wVhM_C~r+!c*_&gY`7mP zY4G+uL{Mt%`0}Bag~zYsqd4z!Tm4FM$N2!Vu3LCTizIY-`I)830l-b(gu#mFUF`Ha zcB2|Q@Zd&mlxKa;XONUnPmYzU%*Rtw!CqRq zpqu!Q%~^ic@u@`V_=rmE&dM9UR^p2Kl*^Ip``zkA*(fFWqU62EdTCr)-JHFt3EX>(^qb#>G<>hiCgNkj%6Db z((S`3d!zFr+mHK^P8B73rZ=m?hqG}@TjQvGY)W5B?pC^67M153^6qLm8<#CUJ{B_i1g$f_pB9f|(DCK0( z(Am!IH_uAYHb?A~O2ml=TY^g}nqXK@7p;p9Wiw-KS>6Y#(0wWPtdh%>b0^2?HOtMb zfioisogShm-a|&uu4a+NW6rB?Oqu<2IoiH#5SQFvvvwnnBHs<={&asOa>`)ln`5?pTO52?VKn6UJ$S~A$VdM65S%lEBOQRQdn9;a}2^A$3(2daFy&mYFT(1NA}Qt8@t^u<6r7j4x&TGH+ycca(SLV|ASrDp!EJTYY( zP4|iJ`YT03oP3}4b>^gEby&PgG#1t+Ha))n`FLym#BcFO3nH%3)O^62rR){|z_?~}?>dNBsR_y?Tn(6G16KVGf zY*1WC#`(Q6E&@Zf-zQs~@KyM~>7Ea3I8IKzdxt#+%s?GI%yQiC?@KsKBwCuRIPWg_}CafWKryZ-xhf|78&%;PcdxeWS$ctPlTYJ ztb+XLrIv<#y*?(SAyMghlM#aNlCgK(5e(996ujbRwEjREw#+5(NWxk;{3%tf(y+^L zGNw&5P3d`dDRjvK?ZR|9xlBc)K^k?g6}yffcR?XUi`qsnP>V_CxF)SOvAWUjW2r_< zz``w^fyJg@8IQDC73R=Vzx?_#$wx}Z#!dE0O)xO*i28nvu}%e21TTt)ONL8-TF{8y zgY158RD;S4CuxDSS5dF+^AsyHUg7q>3&FG0CTe5X;6UVU6wI37!BmdZWMfR$E9Wk) z#6MlQPT1ugdfCn%*!gj?Io<9>JQ}7W71_%?TffhQ*>p`Ib$%ePm5EG2hijr`aj@iN zSRO^$jK8kzqs#*Hi#K+~n)OLyWo0_c(wArR^+n|c)bYHod`;qaK$W8REN;`T+6pY* zH$2T-&0?vSpY$}EUHM>Y#S~oaH?RSb2@Yl@rqeOM&jhpxYN8Yg8_}jBJ}sS8J>6)3 z+)j>}Af3*MqdN0n!CkQf4}veX0mkC6A-}O=%iPb2KEgIYw0ul6=_4k zDLHu*dElm()4;n6$^A5zRWg}XE)iNga`oP{OM$K&?7e|^d0#dTd@PW%E#Q;UB`d-= zCZ?Jt`zj?cd(+(rFm%!U@IuwCt`PmH(0S};`R8(5|4!{5hy|R zwQ<8@jX!VQ2Zh!e>Y6WZ7S%RWLDUBswX`W88JYXnlu2>QJ=FaNEEEZXMdJ^5nL~Z# zJ{X`v3c%aQB#h{>whL_GHJNsl>X`_ENZOEC{I9k)J9Bh&S@#lz^%9K1p!oCq?>VKC z#{#0Y*mb7(?uT26=-SD3Xe|{*rIYSkdy{8jRQKDi6d6HRulSpDrwWz>wZpsJ=t5}i zql0DQpi#C>53C#GoX4&1lJupCgxeRj2^7V&cb47%+LYP?%+)^?yk-3#+$njI=U%e#HSz)}pOUM>0R5%dZ!}5_!F!_++=xb-GZZ4yM{j!k7hcj0H zRD+Liq6M@DoT}+ZuB5m^7PTK@b1776J=%TxhAp=t`(ZeGbsel|X>BS6GMXmdS)B#ivcl`vNx8j>?jn@9dUqY911mZ?k;LpE?=+#V-5uR^F@kr_xiO$Rnw<>CKVJP%Q*JK=Yj2$~RZ|(KxW)nbRz9fBH$_$$@hzo~t(O!0etovQL8M>x#-;Oa<5)vp ze5#y)^Yp!TefcNPzcDtuKjYrc=3zWhvPB-(B8Y7&wfs6dI`8GS2QsfY0A}9Sy>RVy zCWp@hllIxQOyK**%WNeQeE{lpQSSf@x|4BZJwQ?qhMQTurQ`k z>JVHt+pbf8npGV0(&3X(^q1DuRj37uJMMt{#6ZDg@{1WFEyZ{8?veDyHM*a;T@btm z4Ska>K@rRa!33#$NlXb`HCh$W>9Jl#@Mp#rRgaJFtVQ`^FAdOAkx>dnCqHJWO_R=@ zhB*`Wo|8OlALZZkNj#eT5cAbf(Zb>2c`0Lbhp*M4l|OEx`qoL7EW~)%$KcFm&poS5 z{&0)3E2rt+w7S8TfUu9c-Zh)%O}Zso8z9Tx^8}UExepLd7qn77FsNn!#prER(f`(bFzuYra;Vp3O=H zGfw`lrlBX1xzgj_MzU|!IPPh=Pzz5FY=Dcm&)Y}BzZ&faBglld6f55o*PGNU{F;8r zeV#Skrn#Us_>Qn5(CK*H_%iFgNalJxr%w>sV2;Cf?_`VPipJ#0SAy2pZ|ZmSnKdAW z*rN$0WkZ4m1}zLGX{IFWIV|&p(79KNtAT6wjz@70bQW70k9DU=L<$wW#xIxor?;2O zK?w+%vjfayQ|dB7a?XpNM=ahi<~k!%m2K__sK$)|ZEGKG5ltvjw-$&58zr&7j=4wJ z?nI4uM9AOea8>vOpFxuorCSrRNS5PCMXu7IMo<$SpMWhOMJ}lRMd&80`BZ-Yke1o{ zi%HLHCT*jKXvt-t3wdM$dE9T7RloZ#=^l3V;&gA3?3@FwbBkZxcSjN*G#o{dkZb(r zS>?CuWc9jR zl<8dB&-<{#`1z;G30a$gx0xaBLU(V*&nb3g%;j5RVt81P3<#eZysd&NaP59^M2L8u zE0VaaBJ9=Rnyy;zh$v%|qy5A_)UNo$vy_qf4V0G;fibf8*B)E@x^0p^Xw~y)uVZ5F zzIfm`j&euPnkB}QI575uCe76+!!Yj^jTnoTa1n}7@Ix#k2!;j0O#5U1++`k(5v3h3 z5@UfT1W)d;0iW#2Z<|E(5Ahm@A1!TD$4iW^VLyutcf>fT|D4jBe={M?ApERT$1Y+2 z$%A#SbOB`o`W>ZW&X`^@yo!gCh!U3U#xfbEH50d4yKcdiub4E^E=DHC=5P9ERmi-G zEnO-{^1dYFe0`bZT;Pl4i`g%xDePTh6U?z2akFOE+CGQf4-l|IK8Y^_-8gZA&fb4~ zyENvqeS=*tbCp3g*zcbbX(NdjU{AF{xAb|iJ*2hy75Uc>-|5opc6!$$zVJRhZ`ro^ zNP9ILtNHGV?`%IEB#`9$maCbWy3_$ONHF;NhKg*<_6%X6rqn+nz}Fx<_Mj&$+tEi;iebhw@pk5@lVU5T7|j6dDm1d!5fdviHk$gxP7d&Okn$+b+j% zLiU_6c!$^f3{WpUq(1RXpQ*+zsD%-9raF~O4e7P|SyMJvfNx3^B6`*Y{mmz5*SC*8 zV>t9`$6jIBpI+ibRM}<csDtnfF3@E8$nZ`_s=@Hz4rZbt6IV{Ql&W+9eht)7~8~HRPZjlyYN}RX4VZ> zasIS4@6JPlG_$6|y+H<$T(&zrlQ6DDVRlh0!KgP}> zMi?gQ(rw$eZQHhO+qP}n?ta_0ZQHi_f15v2d#^Q4eDUAwiK$9Zrq0p8_H2C9d^3;{2)@Yq~~qnl1`Uy8(o%-+TUJL~J3;lW-Pj zU*9dtsA!SMR)8HtE`4(3bk=RVuH%i^nqnJ*0A;S7EeLJ2gz)>2aV;Py6qX9x?XPG_Wv_Q@!>m|O)dkU;M{T+oF7n4*x!FW1&i@sl(>dVsNl#A)fwl!m3H$%3+ z2+I;Fz7q1|5h6CBM6l+0HeL9$g<{7PPsjPMo#R#Av54qeVVLW^M%auf6my87;ZxPl zwgI}w-Eg_rcNn=0XW({%v@wG?$27*{97*d>@1Zar*S~L zotTI;3%#9s-4}MZ|4p>`5NSPXu83WG-kii9Iw`bFV9m5XvD{|LTzg5~#!A~tZyx}m zY{=-s3sv~@zvx28eH#G}Eqw;b=#3=ye>h@`nZY*Txuy#Njk^Z(lEN*nqL>~gJZ}_4 z`WtIcb|yl^)(ZnDi3E4dlBl_xH&R})Wc9n`A6!6Z%7JqK4N(d|t63v{Zk?rAnloZC z+(Q$_a5%aI1DEykwp^avT+Db6Zq{Rv62h^7W+byn15tQODBG+x32EKB7#2T`G;H@7 zO#@l!)?8U!*atxt*gjF!68MU=&e=NCZ68hzek39a(@xcX3c0^3gh%iM(cymYoi4bG&p3o9O86(%XUPrrH0$Gx~OT#n={4OLP-S41htetK)D%V{QZeF6w+!m|H7UXE;e#$>B zWgbfWDxW!p@6tCUgDyqC2TVGsqJ@I-q4g9&dh<)jM~NFT7k_%Vc*h{#V(K7RAZJu+ z%J;@7>|z(&( NEv}TJ#mUAoS+XN63bE2pJ@BGurx}s_$bv*>5D|N!e*mRISduPM zPP%p5X52T6zO*5AcNBaX(UZHG_xw80OmvS#tr~mK*zYOE{>aHEY!T+{H*{C65frQK znG_I`drtkrTG8QjW?esv?WfM_8Ve{wt7$5$XR+LeP6J{rLfBRJpg@HVrRJwNV_cd4 z#524xHhYalm5&O`-GTq4_d0M@SIE?MO4|yG=8MvgGKVt(8lY^%mpYV7wXI_;PvqV; zZYM)Bbt=+=_Y15V8_ye=wsUwj*c`aG$A_ee~C>bdg)uI;i2l7Q!)GQ99PYARK#C(zoDwoGtfFx|Bt9ZK$LtE&UJ+RGl9h*3`YdCsh<%BP66Y|+` z=s~cL!QpLlbq z0=>vb+?#EPv{1O;P-}uBtzFj=V<}ZxK5iPx&2DF)Iok;^sShLIb??|~7nH%Xx7U^b zh~sPy6TfoQADeYt9JN0o_MlYqSJGdsP*Ry=)WlF>$bvg`Xfl2(xO*>Re}H8ORb1B< zO>rkP6b+Y4=4KH3Dw47PXql?UZ8^k!#ug!A*NlUS_I9do4?SQAseZ$vH6}J)rJ>H^ zVyNDg^CD@Al=OZyjJLg%4Bf{7e-=gNLJ*GeOZqJzjqk4ON@_fD*_UIPemt2~2el## z*2Z!?WhqkHs<)5N(0F5g;5xI2&~B_?IoY|j)AEGrO)^?VR2E>Zi7LnV(!2&)V)T&^ zqNy0W4|v3}&hCKDk%j%oWEn~rnkS4*iBahx#>p14m%-OA?YiDfjLOYNO5~XR@fu7J zAW}$GLj%0Q^)5Vx&Si1gRg+4yrT`Y<$+ssJ(F( ztV3;F=x0Qhc7F{R48Tq5i=#P86U!)qil56Gv%LV1cSB0Cx@ZI$wkMw$d;oOxQXlfz zgh%X&sOYhM6t4yp(TsfUh-5F+YZrm~I>Iv;<}?)|?>kVyWJ8M0TN=4v@{l`o!1t^s zxF_{aA~fdChXYgg$l=L%hBI~OPY}_k$GVwxfs-%QX6H9_poRg<+55XlrIXv|61eBo zt&79Nikz6g#7p)}8mD$b`cmnPrXTmj#ZlScZf(`#c5YIaeV2%uoc!&V$mtU%yACFP zszi0L5L-&yDxQlZf7@ke#jR|GOa>M#B@I-Qz`>Pubr0Q`+Uq3?lfoeo$eFEnPtvPY z7e!r)WAFZu*rOZdbuVqiYSq{~#dJpA>k)>nRkznBSEd8(Ba^ioCa1QpkwRZ@-E48m zE~ygkPK?SqOt-`b<HerJlfRuEe@*QjV=#WR0|k?8L{s6VLi^JqQ-xV=S*9d+H68BL z$G8*5waXdpd(A>4!6G1fdxQ2b86MiZ1?0|~o&jp51DvmkU7b32d@_Z(Z&@lxDqwxF z&yd)DTXIV%a@^|~8h_+^qB6e5hk!LJFP-(b(PxH#JAP|6_qT z85sW;`C%gXj~{1X``_*V2?H^*{4Wjk{{aKNfhy!|ErP-z>jWXQ^a}*+-`?ILkPLuf z7|a8bwQD=LzZnb=wrdCMC;WE;hcAB1d)E7>|KiK4$~NMt0O=fr4U~cr`1r;~Fs@=5 z$qhjryrBd1*);c$2gpM99KgoMhbP8A40zZ^0L}opfK~t!q6J{1yT$^j8O&lmGeA&b z?N3sW+5#|C=v`AICpR}UkS%W74eoT%B?iEpVHv0Z&IyE*BTxp=zZpgWY%}23E*3Kt ztH2V_?R%=w&>YMaj4J?u9?ZG{a(wlH^th>(avbo!kxM{W4zU0TaN}20?K`?3;@#UB zz-HR!Pxj6I89%bW)gKI4R_5Ag`2jEr)=Nf>_jZO^!o0^Gf8w{|&9wMexoK&SsNlz2=p5iLTV~@{w37hfhF@yU_{50S^TX)t zujY+k`1fz(JD%pRUh1z8Rnot;^><1B3;p14489pqyX$wxBk|V!d1O< zfp$VwF7bOj^(kpo>dW7|UfJ~U+ zl70ksKhZDzAz*{Vcknv^jnbbePYnRtg+Bs#faop$bCUAGe~aivUqm`?f6*_zm!|wx zU&LJ~+m5yG(LU6$UFYCQv8HJ;u!SSFwnRD^h@~L$?3Z~pBz9m7A7r>jz{W4?qY}ci{ypjF1^)PN z()@}3eJRlz|G}Tc|`SBv6@fK#$H(1WiU)@+Ku7l)n%k`omv(1BL%WsNha zn$+KcK+tQv#aRY@Px8JQ?@PzXxQdopD4`_xIAcL4`v58;C5{#>j|Jd4<_N)-L(o!AJg>54trmrM|HR@oyz@< zy3%{A61B&DAXM$Mvaa#OVj*q@snJ}2T^PeQrSPq_Kl*^Wex{G`U1)EaBSe4a1FH4qQoyaOI*j(Fb`0wRV?%MzySovwKY(N9bo6w4Y$r8G(3(fK_1zizbj zI}~uCeuVAabn)H}l>wzF61LbukXG4)G?Q)4bbL8`FBpWHW9G|;W+$om9CO+ZYlP#k za9)~YT|9toZ(%q+WV1QEH>d*-fCqTFr^AXotgL<@DzbS4il7`U{@a2E5r~K3`aO!k?Y?aj9mzJEJKtB42$<*5c ziA@>WqGq3rIr%>k!3?{x9kq_Sd>|EsD`txhs~g*Q%9-o_87IrL)TBL-uW&K&)Ulsd zv`?UkVC?}rTOxGxIugjsAbXoJg8}US#1LB1N3xb@uik#d)qZ|RaaS6GNHiCP;jPXP zGm;5nPk-myXV5kBlgjc)5Ib!o8naMMQe`g?Y;&-^4BJ*9Vn(o`j9XH~wfBZc2Q)eC zu{({qO*8O?^L{`*33SzE`63vl(|P9WVF9h367g8PO1GZgB6swbEvuHBR(%TmM?ekn zZjOTe;t{Z7S}$a|56PMnqAB?%rlt`}7rOTBTWiTH-Vqy2W@eXb25?S|%(eTSg}lv* z5JveKiUkbVKEo!-d4R@YccKOm=-WDNbf{xk?3qvZOrR0Eul*N&DvC@2gq7VJhX}RH zY+ZxS^H0SiBB!L$s-ah_h^@P!aB)oPK->KCVQ!bC0f-9D6PbRS%sQ^Bu_OND5b0>c zEL=p+TxzZZ+qxC5ErSrO7T3(*8D24Gy&UrPTmW}@VqY7dMyI2TuSy#Y?O`N$t72vP zm)F3(13Tlm>R$BWBVm3~8}h__H+`VejR)0dRjT2ug{YVblU}8#qYzWgK=*MC)24 zfv{dMC&;eaSJWF@RASKW-NYw7o&Hd)vY#@;#txH+Xb*zl`$K^xJ6($WA6nbN*nF;a z@7y&v1Ras;WO!m*zfitaJ`5e}Ydp?(2KLs=+1^+o^11R1l2*iB`j_Vg}qQg zU>P6ZZ#3!Tm*Dj$nZf=g>e)xrJmZCYc#0YM+6NRg@TZ(+=mr&hPxM|V;cUC>u+*0) zPRz3_Z=sw{-ZUwwPbf&LX3BQ|f38NDgj>5Ra~2$T#;)=p{;R}7HPT-RXO6{hhAH)1 zxcWkbRc7jk_5EJ*D`La5b<$kk0aneOh)F&Vbn+ZE9r=7%OR_4KNfu)ss7)?*YDrdC z;|c*;{?R&9KVkVW)Xgxa1=O=PNs-yDl<1SJP;+UCaMQBb>1QiFGaE|$f7iy;MPd?5Q`duUNH2x1%qA^2qNEExJp;KT;_6BeZBdq*it1O!kq?07a;N2nt8+tX z?}JLpYAbvzC|o_bQ46*&?3_Q0_(@dti>rWA`Zaefrh9Pfay%VnF9CedFTDI5U{M3~ zCE=T(P6_cI=gGiS&&q7A65Ck5=&4hdND)V-W&911tDuZc_XAMR@l!pU*r{&O6mTNKT>RzQPfr~P3EcjH8j$&ye~W5jzOwABf)m5)wxp|J*FRuNz!^P zV%AJKdDghOw1E=JWvg-dKD>w#P z9Pc>EF3Ys#BPSY;ucRk0RLu}KUNZQUgOTG*Zzo-frWd4BN<-<2>ObuBxQB}2?Cl$KGMP$R#-kfv3%q? z0f9U0Ubx*KUQa2(zv(C3H@7eoyt}y!RZWudO)^n;i-l9cLxr&N!(Gl%jzD3%6=hbD zk4`EtvXMKTz|DP-54OuU?hf@&$NY$+UYRon0}qU3X-;c3h!~AKC$e6g!1Gye(R)@5 zL=g?5k?+LCxpNV+FLYg6OP{sWy;eA(Z05;Bxc(8NoLuXI7X(x-h`9x0eetWqN6~rd zRw1Kx|p*Dy{0H%l&6p1g}kN8~;8f0V>KqWLS2;0o-LbDrTKdjYA z%_#Wf?K&-}Jlj5Gvunw6Jg1k15+7-YWnF<;VT~)AZ!}n}*yVPi zgC?v4<2Og~$yke~J~Ev7Ody7mh86+~(0myVxZf!nsIX5>S0{s)?usej8+2(nT6aI| z)jASfWpOYHFx)ciSI!$o=_Rty*sU{ldD)Wr;PfIXF>&bO+(qtlts?LBJB-{kgzAHd zxzfH=W=@WrJaq<^ovvnE=PQufHXT~ z*Ne`R413qVYV~pPv&py}5-=;51u58+lk)d_MO{P$y2Ioq<%Q-ET+t4P@jPvZx6SC= zmJVdMQa~x#mAWAi$Bd&l38rY(CGD{yNKBv@eGXH`8mWlA(|ADupd`e%HE@ll)|7w5 z#ISACzG*BPKp60?i+u9(`B0RW_8gPXfB5Rr_q1ZOqY-how^U%ugZef7o-WR}TyMj` zm;$2H`cFO{NtHAA@XG*d@u9rJ<#60xvYBXrd7TwsItv<+yd}nh+e|2FDw3+R15O1| z+!-p&e_Ww-G7aQFCAW6Zi^b8KyptqP(66vp$GZ(S>))Msk;W%r#QFEwx^sWl??DQI z=5vey`;1nVBvXf_ro`6!=V_5?PMir+1k+d82P{`rYL@BLP~wp&zxjN+w!(;IX7beZ zqK=BT!cBG0g_(qS!AjBk-p*^N7O@5>x<`{4*^A=9K-lS+=B611$1}b{sMZ84@rUAQ zs8>rLSkSdb=P@e-#(sw{pHki9%pO`iKl)y5d}M0Yud6UxyA%6h>}iL-T%>M%8TsIh zQz+W_@5&&(mIrpyr=+j4rNZ1TR>f@+_Cd+Jiu3bF~RiKjUE{Op}clW-qC25q<_oMFs}Dv?AEqJSDvWRxm?iabquc^6R`nk8GJ2mrg9Q+hmpLBH z403dv${se2xYxu+-d@AiUfr3_)-HOL}MqB(9!JAHDp=~8c zBGgz$nDLviYdDrs?#&mHCZW;;-A+})(XGossOtRR{w5*sn-}EvOu1^6wNSAgomre% zUSnoq@_nz}Y!F76W1MXa17#<5(&6mj`&A-SFR5f3`Jl8L=aU(k{9Hjvj%MV4o zygd!9TOwS&ZCfDmW=D}@tOi~{K_NKp{o)}f(LS<6GfMeKH5e!e?G6?$^Gug~F&*7` zcIj+Mu-OSN&GENC1p(_}Slu8@N>0Z7_S{RAeQ{W}ODMKCVMS~xs< zzGu>7t04>n`3hX~?;NC2p2jo8*~s>O2@b}(QPB^JJ4Lu|_Q*@5ivMPDojutN4gx$S z58{R3sF2q&2k$fIZ%yf#UOLk}jZ&rba0LS=^pQ-rD(E8|0M)~+QrG+9FzqTRV*kQe zfj8LZ)csDbtNM6~(|h;F?d+YONs=bMy95e9Qw9+jFBm*A-@h^whDtDSBiP*$Og zvR8hk;xD44%X30g6#D+w_JMvhe8B_EY{JRCmJ)OJehjg`h!j7#pM&V{DdoL;@)f9( z70Qie`S?58{1o0=v;w33Jc%o@VF)RIF1GMc_7{qZxl(IaHl@3+T3LF{k8YQ-Hfmu? z=dk!>SqFj=Wh$}A;zXHI0<>gl8B0yC9g~#&f3)HWbX~l2gq}am9vZUVQFAh+&}=;u zj^LZ9tTscv$0LrrX-K(Yg_w{@P-G9*tC@y9eu9F9&YPAyHtl?nm~MJY3It+JP3QLC zx=u7ZX0+YJc^0=nPrUzWJrQKK=TBn&6q5N~E5pn7;W%Ujqpf+CkrKg@3^%C{xluiY zpy3vc#Ujn!FV^1lEi_)yx0X``OE96h9co%jz>DE-W+TgdcOBEB-51@cl%cJ!Aqtun6AJU;0Tg5Qn!;xdEW) zMHBu)dkbu8AxqeQ8!l9W(|8X1boSG*qUBPa9dj_fcg&D@RDyl z#SPurgVM_Sy_52cR3G{;v`p#Sb~YF@^XOfPjKjiFbH{W?$SJ*xQ2*pBR?ctuYQC}y zhkoQ%Z0M!Ez#*1-P7|d^*e)rBbaN`p6gPmi^6AoMIGx_32XEQoTD#vKK7Q}N`&QMU z@kK&QQ1O++iuS(0a^tA>>5FL!h5aU!JW}}cFQNNTqh`#bzLdZI)o-XXW^?l$7ofwrb6sBH=GA+=P9%Xj|Y+{kKFh> zWC6%|6YbZq|r>a;7Um5z5(4x5RW^sYC*iW3G`7^YZFR~`obuEkFjcv zWUydfG4i)fmGSemn=!V3CCCL7kyM%uohR)}G(6DV@p?OCQc$i64WGe4$ z!NWY^kj~HZYPzrtn4vl_L)_B*1T5mNG-nRg1pfa}^0m)UAyFXLcT+?x;sPQ)zbGFE zRhj%+aVNyO=I?cD95L=W7ltz7v}Y|qpS0OAAf5qUIa`?+r_3#cC^*4}MJ!u&M77}` z*2sP|5DWT`EhArqUAkWfahTflfUd9@W!`Q8Y&_itG;;8syf3xbXPHW3L zl4M+Q?vPB0tG{Jyn+bWcU+XTBgMLh^=`4iMWiI3f?%|n=J@QgJW5w;rD3#Gsi)CC4 z)|IhqGfg*{MwW+NZJ!zr)#c%cg=kbWZdhyjgm zG4|@%QN$PuA~^dL$Ax?BK)Zj?lH-!dM|uRUYH#jE5fYy+#4P6%H1wG{My`Atl|e6h zBC@EfPNeoV%zmx9-O05Y!IeuRiO_udMQh1;+*T8_*8teqY(AMI4{;q4=2QmQF~j0< zg*6WkRHq7WyoF%LpIL@_vv^9o^>+1(_DJPxo?EoZT^^G9D#`0_ZEYJ8`u_CRGk@69 zSD6ksJd*MB$APir1}&Hn$D)>|tbTsl8(+(d3)GUCWiM7~|&IC(u&SQ7sqGgt@oUz1^>J7g= zt_8CyKi>60W1;5>5G-EaN+YEz%37lo=eHt}<;+mgsnRvlZLgQcv2($St{VxR^*}Ls zhKN_Op!P7kpxcCO|B?>~8T|Q++@OareUgM^rN4$^$hx20{uTeA&or_@^V@}Y^e~Tb zVENhZ%;%-0VDxu-O8Vs%RXTW#qicYcu(&LE$659e!q@A;s zEyq@l-JM+z_I;7uL4-RM*S|e`FOU{j3>T%Ly=ogOZ7-Yg@jTKa+5$e`I$vtUSI`>cNH(ElW724}u&DgDfcv799jesw=1L80Lk0R>qd?zXFaNy{EB36jk-VI zWj8!oZsg3e>n7e#Cl5jT64CivccH0&3Ln?5^T$gI+)d4*Zr6wGW zj{9VUNMc^1JCE1p_%h}O{mzIkEA?uXa6rxfW64I>e&##ry-5Tso0^n{?PtzElhv)0 zqlfuv=KshdsW-L8d{>2MT@0Ad^`kyXzk*tiFR57=8gLPzOE~AfTeL1OaBt|23m#gk z+LlHh;@JggAV!~8lHqA&UF-C^a{W8dpq@WT&w8isJPBAmM-g=M;Z^V=9EjqyPfb`}iZLN>9x^lfD2 zvse^0);RlDHKWFr%`|5~yzNwxkM&ZX7}KM-P?F8v7WL7|)^dmUo+n~_f=KA3Zjp$> zZS5E9a^(7qZYWmm+w~kjansIU+0_!E;TPA03fJ9BBMZ!P%8>7G0U5e5!4$z)*MY!3 zbbwV`g2~;FfP4_=c`VQ1)A>~+{VTSTL@NV?e7(iM01 z^ZvC!Cx+r|bjqH|kQ*ewWXG2#r~8gr?6-=?*>3UVjNNvqbGI{mrGRz5|vE$TvT38Z2is#)F~9hIH> zQ+g!%m|b5_pA~Z)h;|F#F~c<0M=pK%p2j+^HSnMe2??!DslUWu()%Q;7)hiV%)cIw zqK>EH+=OIV(Jh?zzVS`=X?FclE61Epn)6@jK35rZL@CNY$4p{tT-6#6FE5?bz5LE} zHinMG&DLe~;)fx-lY|iim5p;~3M}MN9a~{P6&jz>CQ=x4RH?Cr0cYCV8OQ$>gsu?u z{z1Z1IT%l^E(fL|Y^AiNuUXKtlAOWo4huAzx)d%AWL*Nyj%tt`TEP|35!G0sE$Xye zljJgR+d=z}WIMGQS9P_7kNzjG+im}jr0rfE2mzq$xNZUOd!4Eb1hd}nEi*T0+)bL< zlaBDN8fdQ`65?u#mitaDWk$2qx@N`ZW}mPDGoGC=wvbD?nCGyg$n!AfBjWH9)~Hg= z7Jx$~{ouytScMs>WRccJ;-{GmPQ>9Df2A)jY&2@a&znCbZ2)SvK1~2}Zkh=bm5l2B z=H&a7+NxTGKuIcBF)u91IL8uOcjbmzbW%6A;5M)%yaKM}W+f}H2P*13D8{5}N!K*= zxB)^rM2_lvt|jXW)1Gpvg;OoA{9fxx@Lv~@9pUG4!KlRqU%B#Ln}kpck8Yns#ex<` z4zalHa*{6baWQWsgZA<4Ggw}Qgygg`&kGIJIR_SpHJ;dJ zNd}*jGq7OTyUAQ@OC_~(8tRqLWoXaTbd%WE^a>8_e_T4^T6r zH*+iP*jJt5{HUnr8u4u`W^-S!4b7qz)U6p?P-BZ1!i)hs)s^DTQ0kehP~^PiQ`X<{ zwR+inDTUUPJ5Bni*J4t%~p;5xlU=mR8i5pN?k027xCv* zBi`ZYSXnR}5co9p+zq#_lw3KoucH80{|KE5O!up%!xv5j(IkS|&Y3*0WWkiO7( z)Y6{yE}vQJ8-5B@>BJWF+K(&cuXJ`A&SiOyyp;jThk3wk1yu^hPouzNYlfAu zZvr;1!IJ2XcWo5Nn080BrE>8?a#+7i zyOj_+24*|G@Rl0YsLLhv4oE6gMWps4d|A7^Y@a0R6(cbTMJf9!y)F#qYAO3;%=R17 za6e$d?(!o@6fE~PXIy^#uay{JxwgZ^ohhp){oCeMg& zpfBcEF_QO;K6UYCDNj!oG65$=wco|oBd=vlpP{ddax~ol^>;Z9S;itW?;sbm1Q);r77Xl%hI;_+*&Z#c?wqghmj-*+{oYWx3^x!~L>N}$aCTF^Srjg? z5J#YI_D1s}W`XDNBJ>`Lv3nv~D|>d%Cb`uYK&ZS&}Q`a?3;3mQ%o>sGF z9R%{_NkE%AZ<1+BB3QT?&ox6LI+uOC?@QNlKWhFQ2@G#-7qB!43R6 zXk4=#+KB8E(2FMipC&*BE&1K=ECn;ON&-YKgrDSzU8sm*)k+`RTI^y^!jo2`CwSa{ zGo)_2CYuzG7GErPA~A2b=-mCQTor#w*YMP&rSJLpw&9J4+P*dn{1I+v<~8ZQdP4I# z&5x0xW)rywgZdl}E*;4(=^hK#WjK$(W9;32X$!TUi>mu#7G12@LTpo0zN{2`#wPDecJkqU#VfUhnG9pp^4SYT zS$k%{x81$v0r@(>h`t|mJ=*n7iKqaYdh)SOKlZjKGuT-pPD_GN9a1Q!We)tj=E__&hqTdtGXXY@2J9$rKiIXs7U6 zxB9OqvI!|$s6=qX9bnu`R}C~FPpy0Fj5|eLQ8{rJ09i?IP@X#ykTKEX9=_|c_vM`= z^P|T@ZTRMAri!6s#zpfe9K@fOVG{cFkoi<=hVJ5WbE40>gJymZK``Qzf5=)0@>=`b)`K)hA!S~o@~lo z+CIf(xO@X=8QV09cDP(;_&qTgt35y_VhF4&7JnaQMnT=`}7t#OGc@fekX?41>u?u@d$sA8w0*Jy#Q zFFO=2`jd)ewnYo?hKC$w_<2$vj)gO10WWRn3IZ3Y3}*E$}9ua1n|% ztC`uWL)Uo{D|L&@H(qf5(8y}2QumTBN{*cKX#T1#H57--e;3&gw!T7FQ6o7T@LPm4 zc^=Hiddewgrof<9j8#3PSX_Q4$1o7A-Boe*u9zy@R+U>|ED&9#(JX%Zo1R%dF&y@) z#%5@a)0j|Rx(D1vu+IJqa3Hh#I;GtDIIT491FZwfj=vvU>cTAnKUu+<8wiQdkz~Ty z=>rZ+>>5uaVpD_&ov*;g|If>xMyb@>uqzFPfr?}ksH@#&ly=Pdo#pS2*DtPp%`=4n zkA~3vax}38=&?tOo~KAf*t@$(q71&k(Pj1tyl}lZdv>~!-ZMTnx+A-zaSlD0Y#5GS zj(0`LsNg2bPc@7Ws?GC>Cr3FW6*im6Nrm$B>5A`0twop?u=az}Ul&kkx;O0*;+&;> zs~WUYngmo9gkUii2E^ z-Df>3@($N)Ov28F86!tk`S;H~SZ44zB&Tmp;h?77tL%B_KHA2tZfHw}_JM`;1us(t zxQ2*nB{r;Bg(sYBoJFoFCfPV$hPEKZn5VicPdRw33_;UwhyQfu-iAgA*AyGdriIh@zFzk-Th0tz|7QI6{>}HCNXdD;=XOW<+rfS5Rx7L zb`i4k_|QEt@aQgF&zc(y*{mRN7pU+?vK&!j)x8_f=2;2r;qWVJK{#_64zCa!nnt|P^fOXF|j&J-r zvS4oF>d~%OGfGq+F_T$t-#&J?_el=R$t_CVAE`$CmGS3{)RL^}K)WxbFQTseLlO+3 z;DE}|Aqn$XZMU4TP;I{p^)xX%MSwT<)yLXdqX#T-e zG@xc4eJgq0$omNyAZozjE6{?4fZD^cd*V8Pc*5TmIC2UBE}=7g>PEe%Yf$SuS8k3m zUr#J2FLM_zE3D7p!PfjU&#~~$X(qDv+CUTachW`TB!d<`fB7QZ-+4T_`gTyz4UShI zglrNbwgoz-he$9h1{m_@GxgtR4)cO3(=hy1JMIx(VNw^1u7s|~~NEgnj6-Z-)xp@MX!v4zWr z%GFr#5_4^FyNY*g`P0yO&#(5qTxAutkMUvrGX_+9T6e`~^{o=BY-jU;#5*jw*E6@~X2@DneY`=_;^#fvY8FiH9kfe$kLkV*|-ZF~OTtc2*T_Ny>4aa#rkWoij}sNk#*PHnM9K2kah%iIiS+45-rs48 zg%N@|6c)Gh3`0UM%SVkHoxca#m?@j`-h_SCbby{J>?i0jTHBjr4LWR zV{_dJ6fSuLr&fwX@tlLBHo>FipI=;}nRHg(B1w}qeJ$GQB?{vhQ-hkxpa=C-21+8= zp2M55FJ+?Kn>cI}MK|-KF{l|Y4|o4dAgWhbGu^!Xa^##p)%7US{br)ve-Z{n!)-Wo z%gTH`4|0=Ucz=Febpe_A{*N6fZ8&>d#hLYfoC?UhKHX0&k*}Gh;qsmYB{6m$;)j)X&OD|?e zECZ6%4b5?M?UzpwD(@UUqXB9>xRT~E=60c$qw*<@J6e)SXX%?JW)Q!D{9NlPpRs#d z4LyC-i|;{*cJ79AeFvG}tn_1YkGw~%gJxQhi{bseU~Y&qZ5tk;nxMfP9!Ui$DZ@3A ze(Lvomp*{0?mMiu{OQ@(eJ=NQg65NZCEq5(9}rhm{L{8s^12FF?qf!o1*;>Z1ZVq^ zWBsQSSh{$U=yzJPgl}xBb2c_jX;0ODmaYRA+N2XKH7#aeLM*#R7%A{>_F3P__3cbt za>?$mP8xl>0cR6yCC?#w2gpTc0O$q_TX~AaL?wKgD+D*@AvkNMuFB^(R4*OPkW*=* zfr?k|r$o#ZH_}_`*XVe66Ij=p@u=^rvFmd5H8v9wnK$&n^%?eIFeEt*=_IltK0>ne zMPXj=TJL&(#sQhF*Txl^@P%M(!-zLcc>tYR2^ z(gqh$m)^IU>FK>dc?UaB#@BWh$essYinUfF_H`fcgh|`^bxT>NDnZDm0@e2%nAARCp7u zXwW2h3WPYuBGsi`B&#hk-z76=yhcv^Pn6F4Fw>8=okNoW|^{RZD*aeB$fR_*{FapiT+x4FKJStYji zH9&i&Zf&t$sEg71HsPEV{xluLYJ7aHOZk^$yE<`%(VF<7aJ778ECMT~#lP|1b904_ zFNEw3kQ9b)kcKt_IqY!57szkehW>ou5o-Bud4r)=k@d>Rr$V9R82S@G3BUvnGsoz2$=*_Xj^~k~e~-l{c(5E#Ro%K+i14yDz!c2tO6=*a7N~ z>wjC2j!~jbI!}&=%E`5J3sspZ*Q!v(dz}xkKdvX%hdzpf2oSY+)mzo9%|f$he!fXImWlR7njnbv28$)k^(4FLB&Og4S7vG?>K zF-pQAsqyN`aKvbGr_64E<^yGxo-t^}2R=4A+dHQJtIL-$l4ogLRNZwRrID_b7Ooif z`bC)kP~DYF6AE_sRbMzSt2zajh)p91%XE;fJz;43 z23oXe!q)YV9ak_IYiuCzYBX6B^D%Ba0L@8Bv%4m_On0p zcLGsA%+br^Pi$#(1Uj{V;bJynbB+tOOj|$&F{gAV{NIu9Ux?UV_O?-ZRC4pvsp_{K zIW8KCBX0b`XBVE>tTzml$8~)LU|@UMP?Zs~(S{zLOX__OtFBOul0)BS?rCd=s(-d- zSac3OYi?LPH!6mDI$500M1}N8D$Cyr67?~yWgkX$0}zwJD|ZcErfwjz%~(O2T$%6C zb>;DZYD9KEVu!$cpoKR|qG5dS4*wF~vq)|uhJTNAUgZ~8C=^+V%&>M%8kqDv-fX+U z^%&29VoUbsn0%htm)CV5Sf_~3z)v6Q%JlW_I?s%OH*-@axgaP1SKW9!tgZ!S;!`5| z%Ud7Z)TOB2BPxyw#o&r!w;{skD#1kXqvLTLTN)unnWv`n*qA-IR3nd#7wYl-thQ&_ z@rE7KFGP^ne;Rr? z?OP5!X>#-^KQf;XQa^GRB6 z{9trzV%WTFwx~U@^}9Vj3W<<;6`p%oLfOijj#%&#iiE!5Oz!^eY8-6sEkAcCDS44!XJeK~ZRj4vQ8A+nAUH(V zZJM|rpH!?hDQ81#@$4fN!CU?*fq$%t6nd~qG4naz%2X}4r(3$$+{%(fL=7qLtDCNG z$*#@tQc=1hWVCI-$S)NTsicgV&Ukar)J1^o(a|hpD@7z^-eD*(#ol}z_K!at=wr$(CZQHhO+qP}9 z%eJ~~+pgN4*!VU!V&-8U^A}`B-h0pKi{5a3#SQCDqd-C6sDWU*QiDt=dch?#e65Y@ zjq<*J^eL2^XiKWil+UWbqw}aj@_E#DG&d!9G8v@tCuv|N1B0Ldl734(mwA>(T_QR> z@sd%|2q1&h0(-tVAzo!3OAj|-h|3G&_33u<|8wf8_QTKJT{Q7Ojq?6G9{=AckA;!- zKPx;Y0yb6-_Wzvz|4kk{>wol=|BFqY3aCnobvs#UNeUOi5WwPgtc$zUBmgiBqc99? zkc*^yM2kc?3sr21i@Q5Tti#ybuk)P$t=4Ou=4H11?LS2K&G*ge`&k8R%Q^|I;fVn! z2FmQ{$SfsHikhnG5wMffL&HBrxAD@#xxn7b9>1Lp7jHu|Gzb{#k3E2;IRix8-9*41 zL=F`Ul!{X;xYIpA=UZqeNC+oq;8sqK&@a$nPH5mi6nO-xLMm9*K{)3&G;<@+F5x{k0on%Wzw59zkYAh(3b022KfIXSY`6+zUEQ74FQ}SK?QjT6|D3BMd+@Ys%#kI-K!BmSbiW!Fu4U1J__CvK=4lB1iGts zMo^GbLWU56c{Arhhc=HO-U{6YHTrcHiOV-dXs3a0O$p=V2q<(wzsmof5Xc!oi?Dt@ zdh6BXrkKXP_#SHr5}>X1gEKt87%zkl<>(ATHT@Alpu6h#T{YlHh*wq!5Klmca03eB zrTNF_PFuTo0r`b;`gS2EyL)yE;RLEh5dJSdx4|%eTRZePEKCS@caU%IulHU)8XG$L zJdzP0cvf&Np~6*vHSv}~^)8#y`z!){0U~*jw~oMUe!qWzCc&90WblUf5A1KNKAa|{ ztS>BZ+Ai`hHyJ7DBY@W<1i*U7I|ri6F)9!gfu7H=rYJDT`x5BsZe^4LHAX`8qkDUV z^@sYHoj=5%H*p-9KmKUS!Gs#nU`#)Dd<5+2LIh|B@cJ`g zj|{>G_aaaTjLh^4P^U3JPqR8X-UDzF^85J7_!EX+?2!i`;LhkD@yoS3xVVWoK19(( zq<@?ICGlZi0JII}WCm$Of^4dTwdklxDYw?y!bBG0mFV-Gn_-W$jRw0-#Pw^2t<6nm zsru8i&ySLrTfa-lj$Pi(951q8y29$$xXG7s7c!cVh_s+9fUL! zcgUG~Fi^c7J3ZRhMeV%L<9lX~@ujac-BM{7N%hsLb2n=8Z!#5_xn27z$uEbu=oJ#< z{WJ5Bx6$btG1T8_XFZx&P`V_J23ViYF%Pkc+Xb4V9=985MpxelcHtj_iN~lP~4S^ z>8Au9dJ~H739Iy-zT!2S(9bGbPK9IX?HeBC^qZFsQ(RPnUMG~gLAWD+2FE{l&eQ;u zz6x>mgiMLAE(4<$J5)vlLmTw$;I#)M5aa@NN-l%=wCMws6g1uYf7D_!%gnili8(Ly=PR>Z@SQ2A=9NHNO9Qk zeEsg}%f%fir-q)@HAVFZq^USmk1Bz?B=kx~b!4wISnWktQT?LBxF zNZRl3O@ya`j$=^?XTbt zfBMAdp=qOxHW~f*m}Psf(AFR!H^*%u3|A5HwpEd9h<7eo}lnuf<42#`A<#{3=Opd_0v9|N4Ep%K#B+;rP zPJ_2pjnY5`77>$yV>BO?O0(#pV?%xVO{yHNvm|;;H;A1RF+9aDA+R*C@K&PpRbyp0q%es#%pUJ$n!G z#6tbzG{d87b3>L1!k3~Z+B>M5Z-R&WwvP+=+*ZzOtjk@XbBkvADe%xnq~={;blCAv zXS=PiI~u7!h_}&|EHP^d7L~yX-_#aO5iKw_UWfx3GNXbb)NG^195@IvMr)NF^#z(t zQ;9|fNANi-6fnHtrO%G*Dp7PBlHA8g9EQk%?`VpEtR?r{)AsWrn2EMkbmNiSxrU)%?OX4!K=Tf292B+g#McAb~NiVnuRL(5|c zZGYo~H20yp3e3?OJB>8Fz$7f*49I55i91ONBJYs%QphXQfAdvR4%?;SinlNR#_$d1 z^Vy2J9aL9l3o%y(bafU6ZWC$hv%2?Zlnn^5Y(GV|5m#gR39dPnb)PoM--jX$K(Eqd zBkV@vY&^cU^nQQ?rJuTIv)Ylj3&TvwLenMV=WGIJN0;BM-^kTXA83sS`+S^Ljr&kU z_`8@KhcZLY_u{#sG(kJN7cwL*d-~OisSz{@>{_e;@uVLY=~R5T3lqmC)hP>rmu@ua z!fn|6_VT7(ZedJkX=ZLH_wEeO2TE29Qcn~>&!Y~*(+#dihk`b*lP^t!_(HNH!AFX> z3~*^1rIZeqZHH2xyTay`|5ztpcNWb{mI zzRHuIFXxqm^tOvDU)@33G4s;gI>7E1hyIu*dC6biBq~kiZ)FOS?h@7 zIcSjG?y4J;_G^@m)|1Py7X^J_qWhS2 zSN1Q8df8PdkpQg~+cZ|S?Hwp_B%11pnhJ5csg7nlmMothvG!q2u9WwQ)#=}&t3wUR z4JwI{G;v?=iAFRK9$t>Q)weUsKB7&J{BxnKR!YYyo~J_WBXo3E4f{GK*ajw}HN^&; z{gWD>nFn; z=d~?*u{|rE!MGNl<-TN^EGWnogH_Wr5vs+y4U~&V-?e^uJRWO^<}59}&zkha?xxK; zi?%_#>kGk~mb--EwIMH6!a=f{Dz$9xUI*wb9bFtHVANqNw#X9;TD=+Y;@|E~BH(vl zoAE^aGZ}=Zi@UfT2zV>2?~;_4UZGtcCm7G?9((*axE|4A%Noh4AH#C#@8H|PiB^71 zmrpa6L<^PuL_t6wq}Soo*oU6q9zLuvq&ztyT8C^cv1CQ@?*O&IchhdFrHxk=-<1

gYv@jAmZ8?G%Q$p+RV0|f1eEHl$r4aX|ux_g6W+U2g%VZx=h z>Cl{YNxK0!3W9>LKn_Kvm4136hYWF@j~@*ee}M|li$XSzB-8fxTI)(&%{<2`a#7lL z#cF4@O+QyXaN@r#H%Z_G(@m}kP!cA6{Ha=07Pc-Ll~S7%n<$Q_(peweS}9#Dt@Q`k8yAsc-ETWP*; zTY9IAw1I*4Ue>rpmqKm`XD&|=rrxVZI0;3>>dxU)2F}HW&vdpUcgpezDgM(U;gvO4hnehl$)toe*USvxR#S#e zx`n^WN>X?;zk)&he9PPwGfT~AxVYm1nXp>=iN}%(&vU0DV_>i~%W*|rrc*u6;b!wS z?dgFVTDwV&@tg;o%Q4I0x^!!+m9xA+f|5%kg}99R2# zio@P$o*+$1v&<5H*am5iS1tGBI*s9&HmcR1;^1OdZfHF6x59IBy+6f%FtTj5Y_vQh z@}B&*oO7g^Evh#Mive3pe(KmjCts!~#e@#uk*$99;#jF(k3k$uXQvmtI7)ztB@1yv z4JQvB8^fq^REU}T)Xd|cWOu{QW*KfSkD=eR#Sm=WDt5W^oW^q*9J1fC{aJULI1*A- z#5$f?YC+9Rc_s|~61rRY!OZ*h!cLzgOF1WfLK)_+&xD&BJg?Qb7P8t0sE2tAHZ_vo zDN$>W6R7u%jF7=n?e`73EL@ldmP<4Mt#{TrjOQd#3c0~*`-Gyxts5x1JO;|Y0~~_j zwJ<@3oADCDv6yZ`mjknEsdoLeOuw#3GVrEs#KTe&FWa6XmPQtDe#&1m-7mPeSU3jn z6!W0@4(31OVJo;w+?_Y+*the)Az&;Reu69)3cX=OM+V!a4e_LN;TPx^#~7g2VPdwl!{tX8kiGGfus#f+$F0~srF zb`cPGR_#qe^Ahd_qqks2?D6yypR6GY?Me2-r*R|jRKYpi1i~NFZFt3E(jh&*wl7pe zfYUX<^5eg``=dy!QT6OeRK3aoWfnE(h0fT zbJLupk8Hlm-4cbiBqzYSi!EAblAE!(;O(iqR8+jxshw*J+ZsNt1Qy2eY)vl)5Y}#` zn-xX0t_~%uB35@&IVGG1SE2xWu?NBF6K!iNq+0ik_2lo1K@1gKJy5N7K&cIETF4>w z>H;DjcXqY`B_1-5waew#K2u%-D=zwt5OXTh;-x-w``3SGuPLvj!ko%nA6vaMn@`NU zPh6~2TG$O?e8J-=VMkGvlVu|hFSYW~b^omWjE) z0y~yYIkwzXJUc;tKeYeooxRO3zw*qBk(@!l+e+p!UZjd2#-{m!NB$HBg+b-tyA9@6 z(6RSuJJlgeZVywiG+!EArBDse?Q5JS7C#$7XtKo#$`SwAOf3>hMB!U=UEPhn;`ou5 znOFtc&0vO-gF7pZy4Zo9gQs!R>-nWp(Vu#}S3MPqv;=B^+v$Vf4$Kk`!MGd4VBLI4 zERrfy2R_;UDY+=ZNlxduZLwmQtZa(Iwgji5#ude5w{yLvPrC{4g^8VcmEvfp z9A)xN6t?(`K%Il=lQM=^JBGT(%X@hxffXpuMYY%Vi4Su3n0!+p6NkP`IMmGUj-@tV zzR_q{S}kv|8BK4Bq&x~VE8|E?xYxO_)sUs#D4j1qvub8OGtV<==h(iO$eNr)f5a5E z-x9Ix>(~uAs&Y8Lb;^p$lEdfk@{ko$NBK^HoxNmv&Cwz%;xp;BV2`$krPt6#IYRR* z{rw7C5s%nrO{TOqn4#JlHSBcui`7$1)Gt1#Cv~2#+vXah8Z)nn%fE|T<8x9$8{zL& z$Hr=@MvQUtKsX3Br&^_u8Xzne>aLp{>1B zC^mKR0xW%jR26nIaFco$!myVPv>=6ghg*4yqx?MH6rtH??iGu+iG_ePs+7XM_^e4K zTJL_U>l0kE0J`QNs?xIq7SFY(S5g|WcE!|}%(_oK*$RpxB>Xxh*``Jgv+K0FQDV6o|ij^*Y^Yl_~G%maPVTAX-`A8T1vBbRJF%Ih@7r);QeYQC) zl?5iblo|0fFV7^=`SRFGx782%w4{T?!pR^Ig?fWxc$5wuAHqXbdq7SUOQVaw7MzU_ zrB!rYP|h)@0v}&BqmQyFzi2P+X|pMUH9FwR)fxa*;)Y98?IvGuC2v{G$W^rIRk#2d zOyWdU@OY(c>VyyBzsVg^?`Jli#b-rtsZV2``SO1o2JL9HCaB-HK2D-p16EmI<`4-` zC);(ZIQgp)qu0}Z!BU>DapTx>AnUlSvgEunLN6=PV~AmLETLGQ6(KYQoC7JotOBh0 znTLa##au^WU~C|{Io0y;weo()RHH+;Q}PZBec#Yv7Sox}%Bo*iC29P;gQ!)n`OZLF zu&!`4ZTRn{WZY{PXvvK!WTxCg0ZHSnQ1vSV-z-Qb>~J};$$PkN9w`s(#;aQcflE*6 zt$#^_G2+ah+MycHaQ#`5 zi~nxKwcWN#zcZK)jkV<~${5tx$ngCZtl7fapDE%-w{?Pmj5DUN>nt;F1gePeq$%`=W4CjPF zH4@*K=Hgw{c|ZbGqF?3cpM+>MBGZ(SFcBRC!x`YXa3!X0TC97XM)+k)#U3JQZZy-# zLNBRE8KT8p3$`7{Z!Y5e;^ zJaR+hlQ-~iG;v}@e_aRCe1aXb2*NRjzig3zQX*~ZdO)KP-vqT`ydK_i>xRb@gq9*Cmb6C+T;WBKHc#6`VhT>Xn$lK zv+sGlX|{3>34M&(PX7E%r4pN+BYZha09qYf5A^pSsI6tyld#QfVM0w}UJ^K&F z;RQC}VbKTALj6-0@tYzeir7ZTX*rLsx{?U6=Z|mmY||a*X1Yeo;C5D)eswhHh|0XZ z#`hIHBlG6KwPrSyd5+F5=uO$%e=x;EIwcv$z-9r7&k6~0$W(twQYN?Fsu3701{=JT z^R=UsxVhu667_3=tKm}KA&imgk;pd|VZMcE>+N&7DkR7XC-WfE55}pF@f>mn!ry|6 zhMjtD;72U(M!$fmeSMTqeKwt1+uU4J?@be*MC=_IZD>0ndL%Ag$c@#bDffC}yZLaA zvJ;9CjOUAU{O`k3jpbme3ZO+-&gu1Z%XhrFzOH21oPo~6lm2c7*3^G*RP3#BKI+XY z@N@JCMn0|Ay7Elx`|4{46%d!3%Dt#f*C(ueqp6qxK2SW|ZTwg_~FzulqW#TLEIQ6Y3e^cs*N@Ij1 ziRuW3nOQ2_tQbmlSF~z=1f*a46^*3FE$p5VZiXJ4JSB&`Z5@ct>s8{JvLTDXqLMX+ zI^6XZ$=P~J4<#Puh_ahf+jQPEoG12^Mq%WL>g)N=M4$M6#vk*}#`4#I=xB`egsFg! z7@Y2g>eNZ_s81Kb8I={et7plRT9z;<_Ex4a4nNWWT794sPL^cXZ`Idj5TvoMQl_Bj zaf(b4ql2>qQ}UcZ3hLLhCmZH;8XophB3{+G60S?w1$6D8BpAJDwc^Z^gtGVsL{0Bq zf>~J{#HZ$tVK3?9z0=(!q?y>$7`+@&N9L|a?vcFBbOS{ug67rdR znVSjiEAX8Z>qPW29khD79$0Dp+s5w0=?*>#z*awfUm+ryD`n6)(qA4i%Tn@cU=qo! z8#DjXjYT4oXd}1^V%R#sqq-xpiW?V}0D2VjyAI}KrNiS%E&gQjUQIE)r<*I~qn3O8 z9{`WnMGfq8m2EPLrXY>>mk&I!3_kwhlo^SvB@5Qaso@qqBy&Uv%8!p3?s*_5JTs>wl>)JJbJTuQCxZ zGO#lJk6va*MmCoJYYhKi#J(+{Dmm*&v@v8M1cE^z5V!@7?htT<9o_7*z_HSY2qYcd z-QC^}kZ1%QAn-_A+jyCo+{~{(zgoAnt5$uwt<`cXl^fu1a)OzHf5$fvi0o`ZjSUP< zPCz3jC#9SKGcwmPGBY(50|ihirhy*PF;OeP8k@tlwC{hS39P^Y2l8x;2>v3=uWmpQ z92)={7y>sqJTy7nGcf~eWM+E)2)DEyf<^@56p8_8iUp*!q7LJsQdrp@8iBJihVtS* z=F0=HW`O+}92ye+73cUznlJ(f4Xy!bBFLZ|emECl7zZk_fejNfp!-b?%9=v~Yu-0C za&mGq0@2)H*4oU3n4bsEDPT|zKpMs~I)z{a`m)0y0B;KUTE`@&LMSkTYW-cRv$2J7 z23i*ckOzaNz%VlXMcFqn1!)B4!G%*uO933;6sY+jnfj6}0RM7j2S5``>tFgt{pLno zzKAzKz_78k1a5K))XD^i`KO2u=;?qVp2ie|2hha)CJUmus?9$Tj3cN39lwjb6F(*h z=x87Ucv{}mzg`c%E?{Hu7W1wcxkbzLEBEX=hF23ST1`tspw8gExcwL|a6`CTYVBtD z=G1hiwkD@;?+;*Ho*aL3M;3!)lc`cu&<2kv`KzBoj(ow-h71AoXJC3}WON29;4cut ztbuab?zyUt4S_$0reAhG*PTOiV;dj_KP%vU0G4pxPhr=3@W1dhBNuph=z2HqSFD1D z27s6X1B@XgL!egScjCt+4C6O4Kg=H770iN}{~8ZE;Qe)XSHDaC($vJ(bpHYVJN})C zvZ|W0qH5uL{eG7Z5z*Q_02>%OATTu;^UvVm2+*F_$KBg44HUtdzAD2nGL@yN4XlCT zPxD5(^@sdOoIfqVv;IK=;FmiS=Vf_qC_u%prW39ioY~zH{M7Gb)i2`1Z~K0K^Ve?L zmp?R;dqcz9knDH(@9!a)rVy>p4-pS-E%22jK+~!`Q^SXT71xpc!lY140bJVeWok%Z zUI>AW=|jsj49!){^p*cc;md)7c|;-*3K-kBv*}Mu^-o$B=rUB1fi3*^cN>o=BlBw^7uqmu)WfSVfu`f~XKKOtNI z_EfS!EWxb54O>9u!X(xU3XsReIr)LF&Ui{H#_2SeerPI>rky9^?;pgd% zV-cJB#dI^d?Nw_DYu&%}7!o7?nF&~8a{PLKl?fm{ zSMG)8$4k^PBhKYiw|TJ-MIyB+W=W6Nh}KpWH8ZG!#ixtg+RH$!nXc5=_c(|PCN-L4 z-oBVs$SDNrGG(&rud!G+Di2nqb`5@k)Zit}Bid7n=SC4j`C%@HKK+asUrtf2pw}_n zF+tM%V%^3VwMO%Yx?~U2sKx1@f|6%kS@Bk2 z>_e}5%_D(CZe_}&ya0ptjEaQ+@!Q1!3T-wuHP3eL%s&s`XJfp-qaY}!WKHO6;b5Ds zG~!@hd>-&n^y=4n5o}FA>l62f`AxnjvfQA%j$J3UTX#kAGMgt4HnV!9@GjI}rkF^~ zLVE6xx&YeTYKsQpx*|7+c4qdlN~04;MyWIk)a~>tq!*9A2&$NDU`McBQq}9vNZ~|} z1o}|rgAc*0*6!i6@spNPl&Y8&+bw-U$%$J*P`eyUauj#d$*Oi#Be z0yn>9-E~q|VDb0i4(r%w9JQkK29t`?$qHPz550`* zgDEgWgj7^1YN4}zdS;=bU6uUMX}=;{wYY@}n41vO2Qu#$;7(_@OP%7gES!Cwz&sFK z7wIWxRB?B^?|(sUW^z!ADVp zBUWt}Y+-f(!|-wX{UVNw)pw|RW$XFPZxte}whL2WED@K`9Fp zD=zk5V&F>m9ozhkNe_Yh8Lv_~spUzkwP&Zo1*BWVy|x$4_!mQNnP-?p^OyGx#WDBcC8T8WoX+wKk9XXEK<*vV;|@+-FQQpM*4I8yBzBN4%jy z`>#HHOy?K*Om-qeIiCtBW&PY;Q3?w)OvfGW=B_p=F0tjaDMsi)q#BUuFACim86JB+ z5fTogbZ01X3(e!8MrMw&N$GCpzVoCc2>>{9N2V;@4@rTac3jC8Csz-R> zZ?f%gPLY*JizZ=YpNAfMIiPTJj$|C(S%=4UO;I3F1_UqYvHskRG@y9??;~nzXFM}@ z43xGTyosg?i+JU%RByKAF!{IYI_-lzxO(LA1pLGNyJI0*+buZa5(??uRfvfyh%_$M zwyyUuf$8aZ(@+q`QrEScz&&xoepD}2&7>7~u^OWF6Eu&M4yY&x%HxtE3C^Xfm2Rk~ zdNF6;2?$8^Z>*vxK^YVd#F7&66OdYqe{2FAVqO8F{n$9v{L%n7`MRK!z|@H_D(o28 z!kU#NfWL>*T@!afcLhoE*X0=e&wm&C=MTx_65f-@wR)?qdFQZ|8dGhMOABfbM)$hf zyNPhEyp{sSB=^eGsF%+Oz0D`4+ohX`;S<7a6i@}Gc!c0~B@!Db$H%71qZ>5)VP0-Es2BD0Sm!*_O z1arEOwmv%yLT)2CYN&Gb;DTZ#e@_E(^sT*5% zk7#$EL=EKBR7b>Zt{;ibY@*=YehF*VY(h`L=L}VmS(lA(sR6ZCzpx@Nrh8`oRWNh8 zZ`QiSDPhe+nM-yVJoGhL@cVXxZiN?D{`Bt}OH#3y>%8Q&E8=F>dnd7DB(HstWgTO> z-?i8nozSL89p%)fBEOJQn+zJ1?$73^DafxU^dk~t(R!hiH3xG16=v1m7|;dsyKy2?WmTbl+_d^cj;mq!M0G zKQOL_vc;WNKZa6~88eD`-I!Y-OgrAZfp;l`IK4(=kj#D&Z-3G=^a&`Lf57?^TQn7E zrWlEeQ|ytTD3YJk_U7KL(qE(a<9&C8_oEBTo_O8r4Jv8*)817&EZf2lrT3`mu0WZ@ zjkxHc_yZ$_SKTvPU(6=@F~~x<{;I4aW;MKL^`=UDNFT>et^M%nk=pvzl82o+a}8yP z@m=jWYklcf=wom3RP99<+SsZs*5kRrK+#Lu&$Yjr_}xX=_kBlonANml_+@U6{!8{u99Mz6wor*3HMc3wh-U9-vbj9&hwjYQw zf)xL0%i2Rqve)kU`tFzE8xN})Qsv~K65FisJX}|BvV8pe^GB&Aji;l(S~*%gD#3IG z^jSm)n5%MMV(Lb%_h!2~<}_nMi6G&%a(G&#k*RBWcMXao~Wy#%%7D7INuYn1qoPBV?U>4hu#VgO{JbP)2{rT zDc(W_v79f>&-0UUVL+lo_pae)W+jcxL*$}*z8!Tg1QvUF%7f7O?g+7#lk+bPYS?m&{|SiG|vbSrDT}K^Dc6-0;3ydl05h1guNE!W#&kfz1nB43T_~T^08M zLtDS1D#=Fy77kNyfr~A^%#s})bIQyg!H-JoO;@D}nZM_gg*d~qaLL#;Ei+sqctaF- z6Qv%Y{V1=P>{6P1&)r{_SGa{0O)m*u^dgsZ8YFf!p9j69yLn^o{$-G>$muUH4+%y+ zA9Ny2<2O;AJada^pUN?@Km$1mJK66Pzpmy|xg-`@*p$^F3~yaQ861dNWW5T%U2IHNF+mwce^_+i<(RXt{n16r=*3LTDrh&R;7AT$)ahaUzZCsP_cucPziw(KvTGF(OVgB0Cv42uQ8gc zf=lez8f>*e{BX?tk`Na5nh`{m@E8cS)lC37wE+bZDJLq^wc(Mjklq%E;i++1fvYDx zDZ$M)=&T*bI5o{!zFThYLwTEBIodQW_;-j0h|WMP)4mHueovUZ%mxkWzna*l4Y4K6 zctX$5hTaza&)ZoZ*UK77j;QSthb{Lx`g1~ntgt$=qDYxWf1&0bWFiXI(&)703j>wk zKD&S|9plHKlInqO#jQw8n&%#oT9ohzn1D;)CBI|1Fh&LJAH_SE50-sWblKNU?UWcd ztVlnqT?vFIggMg|pB7une=OR9tm_ZhA7f2PHqDcpSgaWA1hRL~c4kSvTH``pM8q(J zGT~#Qb=-Z~yD>I3>EtwIWd>l-3N*-dFat}O#&{vQpk(j_1?kZU-x#)!+6&?7#MPku zQwJ|7!oOF9d?-azQ>q-dM|_>{fOTd;XK}C>a3xdAI$X;H)9Ye+tr)x%a2k$n42GV= zF}$$JeFSbq&IJy3q-xNF!sE1EAL}rJW4{3O-!z)@cZ~%&=k#qwZ&9w`e!q>=-ogOXqAMWgH6Cm}7kK3h?brNn{Qg!lW zFWVmvK#Y8rtBVBnlt%|oZtO9aiRi0P*-9%n_Pv$sm}BvUIx3TeF?sRpum1Yn1CS)i zDQrRN6$9Cvc&PFA`wz_`i!E@WzGwl7+5~7WjiiKmIb41>zI?t74wp?fc1zaKqJO|s zkF8NFTebJ@ewOkCGlbE5%jfUbOfl2U3sTbN4eSURBBC^}5X1Y?M?f^)k(~qcvc*@w ztJ$@PuTknqd@!9vp9xu16es4|W|q#a^|pK8ppTkq8JY@aHl$>Xf1x$0%P{DZY2Icu zSzZyA(?6cBRU`l+(Qy%z7`ZOWub+l3=M?(}200siBQ{@Qt8C-fS}B)(!L0KwyMOq4 zjTDyjfY}WNy~h(>SGCWX=P8@94)JelaCB$*crcC;FBn%(dO6KBz>XyW%)VMNav@dw zXG&9aEfl(p>{Il8T!UUpTsUG&=Gm_2FBq{wO<7`LW)e&C^c-2^qAYdMd4a)mYhbyLB5W^-R^aEo@1=v-S)Fw z&KNP?H2L=rvrCX}#h|*z{;;66yj;oN9jTtfx6z5PM*-rjoXEF_O3uepin%=){tope zdP)7TrzO&hsaDbZ&lB6@hQ{5)yQ8L&7)O`wpPSZa7Vg^BMbu}i;InsG!s%%*3zp$# z=A_wreQ(dki@Cvy^?Ue8N}8Bg6QkbN+?W;Ti4=k7k0MAW#il@*9o+@Tg`j;|$M(Vb z5xhu1Dnlrhs1}uGWP+scxX#WM8oNq@O&2kWyp(uc=TpV_5(|eVx<1U93`??h4%_;g zE+@;1^s>DvIU+;PS<)Gf07RW-2x?3?lZTjR}9S@xhl`6zW?aRr~9%c0n}15 z1UAFJYn2&K`kc|$hW>X`{EoePki)?|{n@|89QQyIF^O7b*?DS3$Gw%3euQ({Q}XZm zBh;NP0f%qJrFt}jDM3CU`Z>bmJ5SIy+|))kv-z15_Z#SqdXK}L@vbxgIHO4JeWWV=&6WJ4c)EoXF$!o<$CCt4zJqK86NIc6(_IFqs+JeV|D9Q zsIWC4DzS2XCT8!AfJs=+s`E}9o|skY40PcFn}9Z<7=%4M&(U~_xx_(&c4Omh5PtfN zul?~;(D@29AK6jeEj9iniXke|Cxg`1yKA)i7ciEjZZdJgvXtw|3LUTW7eTMXY1m7fZR+&jQkVOw}j=2>GiX-dg>ZTjE|unoZ5BJSG= za<_+=db3|^O&w_ML#xTw@o=SU?k{zwNuBDm5o1+0GcSua_|%$iv+emTN2$NMO# zSqW!%qc^$zp&Y&Ii29-BV1Y%A&1Z9I9I!j-<&}RRq3b&W>Dz>3o#BnW)impk6e8U= zur>wBeZ;PLy^6itQ05>Rv$16%TfK*nkvk8z6z%rzu!aJ&*85L-)E?b*=jD!XKYErO z5X9tsV8*01UQQ8QJ$an$fD__*^*@^R_GHsUsvr(ij*nVnVDyT6X9Sv@P*WoP>nQf( z%bqzKgf-o~YjIs1TxYhWx1`PTOo*tMF$1|6y`|MSu#z$F-IjsUd0fdqIpOtUBGPL# ztHa#GPvJH_)_qKWN9tC<2hHSxQ*}RuuDiT)_TOV}hbdN^P^Xk35t>=W8uf+$!hxRA zYaXNeiVK8bnwuFMix58yZdhB}Zu>UP7VE~JaoyffnC$5G3vc-HY;mERJ#D+i2M=$5 zo5PD5bv?-^((a>APb3$H8>j`4XF~ zYaaqE)Lo527~PvJS1_zYpm0rYeW+U0Q83bl7q2#zdo1BWDPgi4h3zKT(j-4L5H{Xl zc|V(`$Hj5L<9F5e?9|z~5f3xxmNZ)gc~3qQ3sT*kC>UVzYX(3J=tF%px_9U+a>>D-kg+u_$>OO5B{5(xFQFDp+NxWH; zmv$$Cf5}a5LVZ9HjKMj?U!^C+PX{hbsFobFb$KOezCErykE|qoCq4QPsP8@RRBX&gb%& z-oSs1S3?q&>_98KW2WQg zG5uO4{f!$VrLLhS=F0D=a}%>tLWpr_ssj`j z{Zl-lR@=wcE^O*H89Dwc-7`U3Ac4naxJRYbVM~>{K0();)Q*89Af**+t~|(3ij6uF zwRchpqa#_XJh(`Iwl7;jndo&2-= zXe_NuD^xl-e@V#?=LA{Yan)}VAtG#GEm3si0r@4^dts3(2>kBG{RV_gxY>)E+BPK2 zbwqq$zV3qm5%;WX64D6Tg#JZEg#ndEC0ot!$}bVY`f@^JW4OeFklJN7TgLJV{^@${ z%vwQVfgSQW(PHMeq6P(&cRfh8BbH1nCLdMMk!@kJ4@>>*W6*eaw_cRg$DULN*jA31 zRq}$nI+q1*K<$4Bo<`CyFPm9frZU1b^UZ?1Tq=608iZC zlaO=ezAK=!h4%>j!e>toAsH`W{V?5E!M?n+&edKkbguE7Fp;vfMGlmd4NraQ)aoP*jZ_QtmRn1;JO#IeYOTHB=6WGW zG4zFo(`Q-&=XryD3Rzxj;ML}e-LZS(G|r0o(Z^&4dhu}#1VxtvMOs)iFt7BISoXH^ zaqkFtmFJS6`^~$OyOrZ#Lr&p%C>XTk_Sq-8_>Z-QM^*PP!v!a++{X3~z=*LR5^}cm z1<8FVnk$vI;#j85yFm-bmF?NMFR3$)hHqben6#3WV&H%u0oH2%Mu@(j%& ziKl67S?FON$$%Eq`OkMsVeY=yJ5v6QLA)Ns0Z81>ye{j^9bA3yX@YH04`jsig*K+5 zb9E*;>w}>tyTekUEXSKTg)&0vd*2x=u>KAR39Wg47A$S?O|^H%qcZ|v#&zc$%B$#$ z=yXA>Q|#ak3$i?d{<9N#kG#NV3D${04J?e!FZHSQ?{+M0P9iy)hkAUUn{lT3qsV9% z(s_vpX3n;8<_>u*=7{4wT!;y3Shh=S_FHmb3XZG%LR z=*AR0q$|%bSV|_9Iki=T6wI&9{zTbKt;CINv*Hkm4|r=TAZwHTNSz)?n-<0IUL^|E zI8sdtiy^>-9)rO>P#d8lEE7;{PQRL}%3!DGYKCOF4Rt!(=jot>Wdm0|edZ(iOZ}?@ z?AfATb>tP%@;r^r_l9T&P)v%7jgC7f92MjT@Fetv7v&gXTIKBJG~HP~o*G|1*0h|A zSE82M9!oePM?vm!1jQN}_x;R0S^}~v(Wv8qOcwiSC<#{1Oi-c|9u1?joMju991y#Z%cog%XWWtsV{jG(2)dP`Kj?PW^G%z2E_<^M2tPC=SP+qx~=-PL8=wr$(C ztLrb@wr$(CZQHha`re2gaUS-=$$XlTj~Ov@t(9YrFYOMyF&2R*>Y|wYS)?Bkl0fZrl4 zy^dYk3CSBZ>a*3PwGzz@LQ5rLc>|3QS@CSy)+JA>jGzdjYSn79E^n6zT|Xl1O)z!~ zG6wd`J?T*R%!vRT6MxI?9hM&xX^}C=WqG7E|=fu7E7c z9Yw#RFnhx=_1s?(U5cv6G@{g*PyQ$u$p)YrBJ8$&orN=tz1LB^srjf`p;zKSXlI*e zLJE;kudM4&bu>9{G1DMnMm>qX)-$^arMwk(_7r}cbTn~B(X{NR3LEX!!0L6e=yV+j zt|9$c>x@*>SH@^+7J__O-R&w@h5-R%{clH%vXIJI7Nd&TvvGWz3`O7cBEDqMK0|U5 zGJ?(EK6EGAb>6ZQ?qW=&yX$PNcmS+XnE}ijucZ#881iHIR(fVJApd2O1ZAaxCBrBi zxiWRXDFmpt{sYgmg*R3NH?S$aV7>Ju*%HLoYz*RAR@lt?ZssI*%kC3nZ{XK6ZnfLi zo!D3n1I^LpN&BG6B-%&D@J3gT+XgU>*`pJeYn7(cCLSgdboli@ck!cxG7PQ5+Z#n9 zNxPExP&5_k%~4X_OI8%rpmHD2}OXs&ob0n9L?Vc6H9R=w|AAiH3H+ z-YEzow$k>*JDQq0mY&-CRAS{D)Q7zO4Y-yp9KHpA)k?52K614ZbRoVmsp{W1Q9vw% z8GLWGw>m$V;Rs}|dcZ5A+Iaov+T$s6-x(3h$J9vYu!5Aze5)fTF?ga*^?u}!eedERC#E)6SEuf_iIFai}9wk7N#F`7Tvcc3OJuIfJ9=6w`N%?g6fx{ zwSnbsB8*9ZPqig83mJJ&G2ATA5!ulSbUVEHuyW5FNmfYH{GQt0M=kxu%SNU(uQu4X zl+zF`B>d$}f5u#csaJrQalKnR^2KRx2@)a_F@d3dF!DQthY4t55H8&Fw13_PNZ3mS zm%zmnh0Pq*uNT)h@&mmrw6uMYLcwMoj?T zVA{B5V%SBHXJp@}2uA@S!mJEA9C#hLdSxt5lUtYR-Op0u9@ zQ)wV0;bWR1?D%uA>G}|%tJb%%VCEeCB747M&LjxnvDuzAy_CUNwBC6#XWl}6tx_X3 zuYXdHQVn<}#Nz$~WW6xZZ(cMosL@$U`74DVwrU%r5Pg)I*MaW59)0O4gF>s#-FE%a49 z^-*W?M+FKmO!&hS+c3=lQV1>*_<{Uo|=L#QXm6R>C_LG~OG zYK-eFMEyzakxr1XLHnp*Wz+#V8QwtP@v(2UEfGjr}N^gy)B!<@| zDq~>%MseL#)DjDlOeefFTPyLW^hL$I{oL%23(;4omytZf1GAp|3JR`r=aESJ9VPoe zJ)14b7NAqu62P)LFKlZem(ZA#bNhN>=~P|gdI|P9J@F~5GW4Y`$LK1t-Hng|<`FO^uLUjD zgY7Wa5WUyy1K9PS>IkUC$|8SZJl*+v^cJU2ODarcZ3#drsnQqNYEE1V3o1=qRCG9X znyAVL@(W$MXb7~4{FRa%QJ)sHYk5kNim#R!8U2N#CrUgZ7vZJ~?8YCEpBElBN8zLr zElj}wa$IoEWT1uZ@b1~_0L_5d+$7gNK0Wr*F7i5hp*_7L=*2bs?2v2Ty&oj}dEq+m zPuvhVh!&W=uZcL$klm0Hw$sUKyzLMD=gDH?-Q|45Z|U!l`B-)QT|Zdz!9rX!ZHeZ> z@%>%mN(cPoY1f+LPAS_fxWw&jL^zYH;bE>?6;@@MN=&>_Csqce;qxrpD=-na7_NwI zc=1rpfTl1<9N}gPcv9`@_VqaUbhLenAFGwZp;)+A`s#(Sc6n-k(&uRPsBuBCmmVOA z%6`W?tY+>f^-U&W@Z`;&lxW^UbQ28!<+n&rK4k(*psqgOD8fUlFuJ1wDyeb$MPN!k zrdM$bJG*!B%F;FkKi;Rf9?0A;fr!CtTIn@BD1I-jy&-?|v5yK$O*rPr+Xm@&SG$SS zH%2a-(T=f70yB^DAF3EfK#iuL^7~SV@C)z!1RZhHD5$MkG4^w_$MecMAx3cE8Xz7n zm}T_~qQF;YJ2zWuPtIVb?6OB!puK(<;Hw>5cOd@Y|xR?y?d09QYzZ-8JkmeiX?b zP%TCd_)+XZxPSjawp4!$Y##v3y2Ei==Awr3cwe)?_or&UAD@RNoLJD5@ov`% zRq@s2t_av&!Kr-St2gqPktSW4M$fWwzylG{O$kgyI8nM(YxUozR;favoQ99_U#xOu z3@Pbq3$eL!E_cVC#VahSRstEb-PcBT9{I9z;-Sdoy$!}hNDuI)Yz}+Vd4)S$nEX--q2GYBWP!bk63q<$T zZ%i`mcl?_cbI4$ICQw*KFSbkI5^9?1_rv|DC}(qYktVU+{$K$_MN~#8=1ekTMMMok z=p~>A`;emN!Dz94$iy$7s`NdCN6So6(P-|C>w)#Ct`Ni%E5T@<)s z`2E{ZD|$$8#*+EV*|5U$(OcpHD{G{F#$R@50&^kTU2w5E@Pla0=w}&XT2|nbEq%7` zrfW(Fgka9)EQF|oe~iNs#!k~+R=5&6S?kL*orX;iBHp-iG)$og9VhYVSc56l!t^cx zIQY00{M-Ht;#e4Y)Ryq#2k6_nx&FUl-yHb#_;!YtFx=e#5qkZ@zF8R<{!=mHbFecp z|EK!jvM&aD4tgg1|9AZ#sBb55NTVvg@2|_uYBn34`Zw|1h9czDjd?YaS2QiP@?t~ur@ak zt+xR!uz{>B5F1&^>`t(}nSn3dEW9cm#a2S`s7>dGLN~0R%ZZO^_>KO?fGLsN**}7*Yi-^vVBtzE1ynz5vb0 zX5P^DkOS7hH3GEwW^A#jyDt4eEV-bkGn1bG zV*{v$;EoX7JP5Oj%D|;u{`fwa6`vNjD7R`hK-!nuKY1S$A8g3z_aRKP^C;)LP=T)g z1gt<-wLDO{v?cur558SsKm@8i@P5y^ z&Vg@D501cU9UdG&TD=j|dKW@&dMucIcYFF@^}556tjPIKXUucPA6*7*ec*u>^d|b? zUfEJGA1y2efQo&BH&YX07VghNE`B@~f9&6SWM1u(e^z3DT=*TUpPzk7)4pea@GNsd zSGOPN0!s1#K|D0Rl#dqh_&+w~knevjR0LG@)k1!jDf@lpBJiQ>>VD)f`e+^X5o41e z&`m8qP8vVME10vpzkeAA`r{H|O_=JaoPTM;032M0{_3 z)>#5Sw|uBEpvMSbA^Q~Obg>UPy*=X=XXl@f_?Iz$KIKn4_jo6;VD~^8hLbWv{~WSc zpXk885k z{xi&ucQuKyix=mh}Q6$X1 zqoq~9OnZ7I)Z|YJ`eJm8yW;qubR)(LzhZ?plXG%oVZ4me|^ zZ#pgQ(AUmgSExOff1tKSaiK+2Rw)eb``crRFgj9Lqvy#W7K-0~9(8U&_Hh~OhnBkR zhAqNlthn=%mE_?&l6@k*5$H9~NJQGXZPjUBoD*M1c5!7(%o-u}tQQQm93C8aDr(_s zJUq%5XELunyKqd@MWz!j<+hLIDn=hHITAXjp~z7ty#l(|5_H=^bVc5#tJ1>1p$_=v zI;`@zpM|y@vyR!jxn<6$zQmjNw%UDp%W`9B^I$8so+9cQDU|y04s%pL(*0mRv4oQfRVd&V3Ip=815gUs(OK~s_9UdEpY*~XhU~V?`k}1b$nf^?c zIaB>0!9S!ir6p0E5`SIN2|QkR_T_ZESG=SC!d88MC_;aKyaE^2Y^eEyZzn@ER-|ie ztZ}sHQr+V;8xCPBg&bi$?Yx?Zig4|~1Sa%Upa^}w!6-Fj{ZyJ!9Zbz9#H}R4OaW|? zSe=Yj%#(WXQ+;>|i7Pgi>bbE)4~jjb0==b z)i6wo_rKT4Z;gth>k;Mls#lgsHM;$sHL1DJwY{n-OFD`aAh)(`61pf@T(ms5xF>{(u-#upWG|_ITvIad33G zn{!NMjqt0xeh*qpTnEo}_1mgc4J%!uO@&p1&l4ZE+#B0{M=l z3Thhasa6oPHc<4( z$`}Uk1dG#dk-KTtt77MM4<#JL+e;#}{P2vUL{I|8*6P}*yckiyPl-^9aKN^*IfsOI z+dw`z&&j5kaWdA!BF|!VW?&K+!o|Zh+(*qLX8k5de`0(5q^2Sz_C|h@aERw?(R^CG z8&wL%Ga>4BfK94&qfEp5C=y4aD`um3Ym9xL|8|X8-d*dJ&ibHqhN=4q)Sq}n?{Qvv z6=|l=voK?x%_PYC7ri9#6}9N zWcKoMrh@ye;1?;;P=p-ZjLvScvA4Y3gS8ahlsPBzFg4#;Q$Ug7Q{kwWi&NS`?4PFh zKfQ%?f1^Q?BcgQ=kXcYrJ#CUBu0^Q7%H#UFKUBaiCU*{C%3=p6&4u;Yuv7lI%u-C9 zNt&C758AZkpIIQxcTGAE2Dmk18**&=WsLl(<|MT36FDln*f7>f#2*|vr=|PTQ*%P3 z4MadsS&v1^nWW91IjmB1M`|M@;)|Rb*f47tRg;=l`setR2R+K1pm=h%6GF_@)YObw zOH9~3_c2&?gE%|fk11bGB69WDm`!HA&CEk(l2hwe%fX^H&!g%$lboZ6u0~#}+JPCK zrJq?*uP`3|930I_Ek<<|DM=^=3|qad@axLZ?#~F>0hE3M2$xl2u-v^b9sW5hl%NW|nNM$h)!8l3%)T{{Jgsv)2bAQGpK5tv4!oT+#K#kZ+U7xfPaHhA!Epi9Ahej8BL5QEyFV0Y z3BcL3Wde`;LMrwvBhYiY+HRt55hhd$VG7l@Oh_r_=~G5P;tnKyEs}2>OuVB+O3gQQ zGJ{Si+;epx+hs3Pw*+|*R*(Rx#`}~)5E9jqq+pcm_FooD4?YNOWI2UcH9!{VF0(_5%H0B}jS8&!zfEqq^7|#-5r= zYaP9l;;Z>yXK;rz|9d3a3~7jWB9_9xdB&^A%|pu(a}$!#F-8TH0U7c#2f%I5J^?(m z8euS#HtO0*#7AIn$!^p!kqhpWXiqw$HE>BmcNGu?GGmITNd4V%>XWP@Hm8dK-xJ*_ z4U!S1^a-BHMjEsF;7HTQ!*>}7^yk1Ta{i+LMOWXhs{eFbcJK_u+x_{r1tTRDXf9_k z9TH{xssE`coYE{vFvt0(Zf&9QfV73z)?A_Y(QyjR@=Np(CKpq$V|m0r;PX`SpnE>@ z?zU0e5^4(S3QM#DDyWYs-7Znd@P=#VLI<{j_xn{?(2DXY9ht~#VaQHJ6vO%T2P zL;FF}s)vE?f{fz@&YoHaUC`rY1*``5vCUj5n&}=Q+y$V1bT5tC;di=6vZ#e>UdRg> zrj_@pE5V3jJJd2MXV^B23aGYv+EH0LJ2^91tuC;)IGV~*WY0pn*l_iUnR<_paNCpwT%UH6JzSl`+^f0B2&<{50taK-a4zBbD?D@! z@(3>8#L2`)qh{Y0*7J9Dp}XouoG#srVGDjaOM@jvO}Jle<*eRj%_gbVtUQu;c2nj| zAmDre^q~}7qU0WjKK@U?xb@~qsRF}nHCXfEEIcuHlk|3WpfN#VqTYs3QL&GwB!7wI zxP8HK=eA8~tQ6d!re+%lb({_`W)P&No`vh}J5`|ZulG;krH%?zjo6Y*Qde7FxdEc5 z2)pY`+Yd{bzEsovNvNZ6DhuMH-hXp3lBJ9PUIc%c#`$;UbP(treg1avnOYcR-tmMP zy+c7bpl=V%E#-O`$e?`1Ns#mt3~rANAscmamvbJf#WCq6QTy(DgS`2O3#L` zL^(l2nZ8gw;XlKD2F7dayz}ka?hPm zg6vkSADM+aFLDiy>K(AZTIOEE0G&Pxu|}x!KNLjCXDNU8WYFUkld=ZoKw|3C@ij0o_GlPekSph(`B`6eMNSh+saoW}IoI1wsYZAWv4d4(#mZ zcNDO_7h3^@o~c}DrYU~NFcL=^BaTLvj93tOT2eZL-T&;<&=2kTs*)ra+{IFs^F^P;Z} z)ooSsLjYMUVs5zsz8)hBr65J%Zy8&EWkykJAhF*VgncJ?J&laR!odzn-@4dL1x%%R zdZK-_)Gu$ruz5@dxg&-s!>k@5ub-z*CMMG_Y-6Yo&pL!~5=o8uTn}YAasm#M%SIWF zx)#UqUGO!IY`T93FQm&<95N)wdd-8o;n zUC;pVQ4l(Sx#HCC1g1ylfv!cEDzUh8m>Bb~0S0B$m8Uqu4ud7467QRpB+MUqQ2sl4QUYI@0yZkSyuWcX#mwi0t*^v_Li!Z>-^c)x6zPvwgl(OAMWGYsVS0o-y( zy^3)s%!qxs6?x$feO@LQhTCQ>`jfjlG5dm2dOJhq#+mLHt*ZR(@~#PvoY_^b|?<~>(HfC}yDd7Jo&XL_U4b06x!`pSG+LQ>7v z1I^P{{Fw6aR76Gdml-GB#GaPH+T@15LD0gb>Qihrcrgr9ta~pa49C_oWQoFW!aKR@ zjtU*?`~E#EG96ukGy)5l;NizQPDtAZ8~eo70$r?P;)(#px$MVp%k_(>CvHPx)OU}H z8cl4d#QmDkRZ>@fI*MK_CK!|m2jJzMfa@LRZqpqpt{xYo#~XnDh!OVk`f02MZhFH@ zX8|FyIR5w$BYRGAHN}ndtAd%P9>vYL8EH=3$?HzDw?t?wk`}T$illB0+w|eSECAqi)9xCMvCV@`7jH_j_ zDFt%;M5=G$?UQiz?m|#7Mz|uzT!n)|aO66#ze#Izgp$jukG70s~1yoG^~d2-CAG7U2ywG3&BpyHflNUJ;3hl=e>j~ z7>^4*IXWOzK3-@+?6!2ovc6_u>Gl{wkz@C&;iy%uG&R8KZ=aoS$IgT<5{SvBnisIU!{lms zvtWYTj12o*l{A4Xg?u%*(sQS6N&UqfZa*;ZKWp~)ZuCPkXQPlPx<#D;z|LlK%)Hd- zwI~4&RwesW`q%#X&qX~xueUP4XHFa0548v|N=n$QvNkOR|HFV5>0=W)B-^EKQ^(6n z(}Zf?&lMJd$d}&TvKz^nQRqd?&W)YM-3iQ-$xB3h_DkK5c7ZL{RiS}`<}8ZqGOHcG zMwn=Kgr{+fuS_33FIihf;E-lB&i9oR6XrH|_NrUF=JX$&9<8Q7Y0bdbT2qk1ey=F|@5SHkB#zAaJb!*5Pr zHsWt%RO-cGq<%wxq5Gv|Ce~H5l8{=A{wy`H>?qqnqxocxUHN!+Kxp#JCMl%fOW0b@ zkKEx<#XCoz5?#+-CtPj}HIlZ8y{4k&lHbQ`Qvf|F?c@ zg@k>KqAz+W#ohe`rcHD&pp}Dlbr?Aw z#_dx!EI%2FNE=39t+-&V#;uZy{mmk|^en0M%5SK89qKA}h5SoJs>ds=LGtm}--fI5 zZDz?{HQft3M@IPOI@rqwmUXDfV$D$_>qG)1mz|H4)V*NKsQSQy`P&{!ItF<90=<98 zK_@3EU9_9#a1_J2nE@msB7~LaaowP!-PAnydO-jZfYFN(S#NMem=Yh%) zQ>h5-hFUjt2m0kAeT(ohLJk$Cj@L?`B zs`57?{lst(>^|7`+3&)gRwgySHg6j_eO-vIG@>>*h^ zD+5QDu(<9V*77>bRGC&KNjBX|f_!Q+K9c&)9J0Hfj^R52jKHRKhp4AQiEDN~VI8El1d295r*iSVpBP^i{M)yH3kNMN&cT6Bx~YBD+H*+!>p~_ecW_ND%(wy6_@etr0UcqT2)03%f&-y?vCW187)+3>!K6e;hz$2H>m|o4 zieanyakjE-kQFL>D$Qof@8ablSTB{4yrbU~pw(`G1qMb7K8sF7zV)Jf3U%&4zGM(p zG^q=~%DfAekK}!pSwCssdshUq!ABVE_*ADZGTC25$*1M+)B^N-FaROLjyiRS-PC@{RSbOptoxj_#|Sj;q(R30y?Sv`PNsN z{E9bJ+#wgn+^Fy}4`b>}T?##fGm9FdGB%ogzDqxx`JOO6GNy|v^~EBR-!0%EvcLxtNQaCvazDrFh%ZlR}r zNmMZ!+tk;ED9K6$Pu%BgocVMEGxa1TqbL!f6(>`w`j_bDBReaJDT4cRutszVcBIuY zy)%6-BQ@??a0gtiw6V=g*P;fCGb#rxV6JeLv!i8hH z(OAf1ji`D@OhLiw946k75$vk^;laLXr|71+!adAYCc+*POiNGpI${khOKV0;4)Ue* z$IT>iEmLH;Mq`m}zs7%UF@U&ulHB;IO}a`n?=L+TL*Ww&&3+lZ8Bkd8_#}BK7LatJ zkZz+}f%mBuNasXHwTb7nVtBU1%;`NqZb1S|%sfHmqmuH%XujPodGu%wOc#BPLp<@) z?FJ?8IRnCQ|A;&#mTP}NbFW5-W$cIx0iKk_3y{JzEA)`4jLFP+<=SjH$_Rl9?K^B zN!2q8b6`z%EoeM)?_Rj6qOzw)eajN=VGfJvu?zoMk1Y=El{vEq4_b6pJ=92EL9vSS z^=%=MFpX{%W_1=LHfzFGy1w=0>(PtL{k=(V*X%eg(Fjjj#olG{@Z#PLgn+hL;(Jnm zySn4Z%Gw&AZD~#w)+vjW#I-X$>{yH&;C3*v9f8A2uz-2s)K+J7s1k{7o#A6^BG?)+ zx4#hqJAW47>}9ffm>%~)BJIhRVJ>jLeTs?2@sziVf1JFm&naZGP)LetE&c0HRARGO zkZ|9!%LC>PuUl~=lHK-tElME-yTgG}QvxbV2G0As$uSja z;;^AB7nQweL+)@dHPQMWdguVQbGEGC9(p<2HuaVWqnG{iobvWU<_`7dX0TqH8rCj4 z#}Nzkm?N+w@GUd2UJT56V$m>-oD+`pNNZoS`{T_ViF^#tHEsgp#^m3DDlFr*6ge%I z-h@f-JNbc~noWURzmhNy1QqlA<|>WA%H%wk-GbD-F8|i&W5Nz5nvs`U2hKz1! zha$nOGRY)0Lu!gr%MCEX3AhK5=38h5&smqW8vw1Ko=0|-3pFkq_xbTxfb_eeLM^`T zQ*7HaeOvcZGPy#Acc8%BSs2+?Uld>>T4+XoEnVHR(Pp#e32#JV^CifYWt^MDWX%lz z=1h|HYZ0CZsw6>e+Y-{v@RY&VNg71d*Cw^SqzS5eVlw^>z zq;2R(#&fTK1JR2lh^Q~#BZDMk-$HE3Dik9Mgp1C#444!SeAtYmfN{^4oU@s47OC++ju!x?7+>-@km-Hup=Wx0j0|A^)xN>xp4S&Y=}>mswc$I!U})utYJ>-vqjU>$ z_vq)EKGzm3mwz`UoUd|-RlHz};=nY*+XpK*>Upl_VX@9-NPYx-@PK}#geGGrm#Jlg z{it{D-7~E4>Q$Ji8%r;{56>;Fv^!zxSn71IV9ogm(!I?E$tXObpmEDQy~mw?nwqB~ ziW1xUY8JJ6WKHlGuCUUlx@nL(WgU_du@IzW7{_(Bvn?bTq_0iN-QtgzB}^un=3j0I zNPaOkCy{$*ploLIz#w8F**vU7c?Ece%sO7%19^wkR-SS$HHko^ST>4Yt&GVL&P8*Agp^=ld+EUGB6WTl`GIWfO|D+Qg1qz5{kni z^d~Qu`{TLu-ov(h*d1ndiPlX6<+8rsz$z#uo}EZ2g#Ig#XeQbN!qlhnVkWPchR{9b zm186O)qXs*lMH8^Hw*I}u~*MiXnmd<`xDr^k47Ub+pA$wv^ zsUxLK-x?wd^{>6%P{)moe&%(@|=^1j_Ej@VVHhHTl znF&!>=1!7PX7~qk%!9%Q2^wVctomAD>nc>KNq$~aEc?k8S@toyw1bFJgE}lxj=B1p zm!xmDg)mdkmOj1jhm({Ja!K&S1KYd*a;DWgs$RE7^8J<3=|p1z(p$2aZO6ubm!}t} z&n-hO#xLq-%#5rv{>@fW9Vr&~60yI_hRzmUMbaTYCM_DYYo)@`wgUMKE$r{Aa0Hqa}xgR1yUq$iXgXmuJH2 zS%s&Dj=h1c{0o)3i^Anj@+<7v>Mw-CZFKx%Rp6d)mz+N=o|=KeZ1qIWpe5XpFXpA9 z5aWq0q+PK4-KVBmP2FJ(h6Vc?9@*dY($Mro>JPk&l)v1WV1-g2S;3FLh&RSbX1x(dqn!b zmu)J%2o^SSlA#swjF)$lD2I8SL5dYL;$Bwg0BA^IknfBUk*HK~VW-tdY>&TX(mzMH z6{@gHBc(X3?X%c6lQ42Rc|)faD9C&kDHrGFM5MAt%u9mnH=O-zasM41Zx+@Pxf1rr z2i;YGC$O!}?_-D~4T6XwfJbi--O4h;I{j5C&o2$M`*mq5ey*iiu>DuN^8VHg9v-Xf z!%`HJItg86xhr28Apu6nEKHPSqc+2YM&RPlh$^Z~vm^CzY4&~FmK)QM^_`60xSm^8}&0e zdwUZ`=B{y)ZwS92M}bWpd@(W`7z{%rqRchN#?eN#-v*HRK@H^OVzK4>Bk*61Z;;xhiZFyWaTXX9Ex?H zLDOdPb!b8TOykVM>{7m2rzDu}eiSxORnU=rn80!AH;W>5<@uE}lw2b_m2g%lU&6TG z6q9)Y#;Ia64-Un8O1^n@APV8@N?KhEXSD9s#KZ#y@7>jZu>X;TgjaPm&6xdFe^BfQ zc>`|@v)`99P!Y#w{W}OAc`!|@vvoV&bmwVR_Qq{ZWz<#vSOOE|@V`$ox_H+ks7Q%0 zu0EjI9K=c?rh^%VtCuNmVoYP({o@Vc%9BT4^Q=dpMbFC(_&Q=EBcc_`z1H6T;2OAad07fxn&Nk7#AAbV+I71t7P+sGZ4jub}Ot6tE{VzBy z3&VfIVVOAS{{z7O%f4l#=lD_7e8M;@6$3W6a2*98PB3@C80D2TXF0NIIBLH zFK#~sgn-)*6?hEX?;t@*SQvMAcNpKSEik0&XGGUGpltfzzjI+70$Sbqt$}-n!MP#0 zguD?+`QgA$g$!(c7Tuw^63JFkL3+tE^;wZxu}FJyY+)V1^({dkm05r^#i2f98iw&8 zd3*KLK#@?8-nq8)=6X>2c6$Q)SXrUWh|#a%12#Y}^<|NKlk0V)nupmxZL#6xlUIO!86Lh^vNEFnHF3vZ_5mDU>GHQ~n3E(_eKvT6nOOw( ziCA|v-@gs2k+3GKJYc_dD~Pc7pkKcJHV5?CTzN<7Uqt_A_8rjPBq$H}ann~G{5icO zAooRw0*jAL1mo8RLZZVe-K{x%-xeRWE10EYDfaQvBL;!49f$W4_K_MC6a>;rg@@6HuM6o5`x%Q?5W4&xO`YoK?*uBwhr0~~%GJy1kvm4W zUL)L<-TrC)(XGxcza~P359;WF{N5?DkCvLASfphD$^r8U*C}4cv+$4rd(jhVuRs{B{%j zgVpY1^5z5d+4G^`?Be)tbM$8N%~z>!mYVRQ=M1O2rGS2EMMw|l`_oc^e2A#SLeNa_ za`Mw$p5Kd(FgkFR_1!I;n!z{;YghpcM=GcVRn(;IA1*!KhoLZ^>Yh|k~-2+*elIXMSWC91y!(1 zPn@5{1>e10yb!)F64rj3Mc`DId`S81af76rsoeKe+y|athA5reo7ai9*5;fs*jOiO zS|3$4+5H%3*6#=`N$wHH2kVsX4)`1Beym@BblOjE&Ebn^J67bG=((rpQZx**Y)?M-=L7Z;WPM2 zt;{;7%=>%&J)~Kfr;jRXlk!FR4z#puSGg{h@RfR#y%OjEaXEteQtSmF#UI$ZD^Jr# z=G7{vO0taji5YDv?@Id}@tl}aY6vvz;iMBMi={4v(MZWvs$4;CoJ?C5&VGRhmHu07 zpjC^l{QK-%*{$Y%Xx}>rncxHUe~-}g=_Eyp|DZd6jz?s|cIv(rVhNwh_Lzl+O!g35 z={Dr(unN_#fi&Op+PW?#cFh*YtMT$)K;%b+N#5I4`fzi1qTk(e;G^RRwksg36pfx} z(@{<#n!$PW&`XHNi#Ws+H}POJuXxWkOXYn2`WW7IgnB7z{p-aTGY&6V?D>QoWdEZD zoqKUt8t2VDx9L}@m1Nt(iI&)j%M()Ev!?)pf+^uy;!bI7w||tT`ihygOGgK}DvCD4 z&t*vRpuEZP92U`D`8BKEA+%9p7BK+m(BAZqN(>1y&67^}{rZIH+go!Tfr(ln z(X{kGIJ<7l;rnFovzr+z53k;``2Nm-aKkB1C?InP2p?u}QJoo{Q)$2oN|c?(OANU0 zqBKg`w_4z7W&E0oAHgV=GCl+u!`W)%vUXc$w9vPMc6Ny{d=vEK^TEy>I->e(-=c)< z@gxMm46U`>c14sVVsd82o@uXX^$0Sd*o^;V}gz>>T&9B~f;4&{TL!$dxntkC$pPXqDwX z0&7=keJu*`^E^12h87R0rpY3rja7<$t|~NV#{67kS1Br1ur4m&;m@j+bw3~e0E$Ot zvIRPyQr4`Gxp^e{wqD~atA(EAb(W2uUxp+-=2I-kvUL}yurYVIw$bbBHD%wWj_qdO zpQMcZAZv`zAho(8o2jgLhQeu=6DQUUIrkJT^oQ`87v7JZi%boTVog;q`8qa2@>aR^lb+U04QWQz4|yAIPDN!6As({Jo`6cMTrtN=Wb$R`|AA4g+^uB`$5Y zH*|MN=6SQikuhnl7*uRz%I@9E9nLI@<;1w;h?^p7X5JhiWbj5^FTx{dmQgeNBXly( zKzq8@??RvI4?71%<09lQ-Jbk-c$n$jl!~sHgZ6#BeB&}UkBB9`Zy2Is1u_x|=b*6f zs~f&KGnH46*SJ=AxL=l5<@ZD{%NJRX_2k2Q+q}F(mI_h=Yxc`Ep_;?y_S7n|Z;C z3d{yJV2>Wo)uRh%V7WFu=O8&>@wBVW-ZSy~WTwuxT-!8eICQb@Jlo-znCuE={Q<0l zXd0uw-IdO4J?DcAm#6Cx6{K(_^h3~3pmv=4W+c*nUNE!l%l`a}TVns3CsRll{2rny zTe5Q;JfM$zm!#bnUAyxy71)p8@S1ldWk%(kE>wfsfx@vv+PlyST!Ho;P$#`s62!{W zUheC%`fMIaSsvy6uZ)55z|eo$K7sj~Nve1#*stOCwfnl=>6VBo>PMj9dzYO5L)kku z=hj7ywz0Wl+bgzh+gPz}+sPB#wr$(CZ5!vUI<>0~zKgvt#}Ak_#;n$RYs|LO#ZnCE za-?wSsh;suxpAj8{VH%M(H0)o@h}<*Abr>&r#>{@MHCnMH*92JR+3H@S{D{zq}I4Pjy3I7^=AgL{s^-Z&Pj zhF1-T+%a3U?4k@EFPj$HsIqINmu_KuMcnzmAVo{FzFK}2e$aW?`{q9RC^S8p6%CF( zMd@%MTOMu?&;oS&Tj%=9Q$%M$YS-?T%aU$*ZjLsBJ#MxIkP($fiq)RV1(zxob$C#& zE0ZB4lJy`H4SMwmpll1i8lh(5p>B4zCJu+3V6fEOYH&=3gtl%vGV7Igww`FpD)z8E zb4f)cIDEC-O8Ux*YA)~YZR-S9>|_BEm4+D0+xQjiw3pT>9^mLncXYkOQ_4s~wyAlJ zaxGi5zw*xY_h{?&n|y)$$&}nqiCa2kxL))pv*Wr4#<1fq*JPU>WO+>O@dy=lqoutw z_V!iVgz2sjY!d|+|1GV->qHxr_B%jQv3PAe-$Wb6X(yhn!(Gqv2q#*@krF5&Y;HV@D>AWO6qa)u_noDKLt}Z5y0__CCk16=6MO$>yI7MNWt;#}uKFiv>%Z3IN~_n6YTGB2sZ$JKBGFd5le}pSbbzO)te*0UW@&Q$ zOnkv?lSX~x7Tz_lDQ^-pNG-Xh1Czr)*4OX021~g}FEL=l@4H!jF z1mc(dhH`JD%ln6ut4#B2TDxP!{5$8bboyfTwg%PVCM?EVd?KK#G*G{X2s%H20oC!p zNw0PhaYqPjq@}FtV-9-nKO?1>hp{{a;+q`L9^Sn*nrRvZ^r{n&T^?B+SkG{oi*x_D z>%LxId(4*+$2q`(2_nElj>IWFW^YX9yxq#L?{p#;|EH$`shjuGkWGa-efFcAMLo~oOS4fBXX z)Q+EK%;0*CCvhl|Oqbm%1jp{|+iK--JmLVIImM$_(bdKrt|I2CUc^DmXEyYRSwri|7@>TOim1$X~}rkmA1E8<3r()P8e zS1ZQ!R+Lj_oPXJuu=L#;HBFm#J2#jYm>{RP+}E2#7%th z8CrFBl7J4hWnqRKKU@CbA4?}NSmgg}X>3#vFp>23xQ4D@_Zpkphwjcle$E(P)frTg zVhgQRt}RsnKCK*g=1kAqAVaK?*}YM3wj7WsjL07QN;RnvTk`r8)XP=r!-XbmD2A*> zQgNNNUJZVx6-K-+HHV%$Oz*MANGKY+0d|K5C!z9zmlJl!ElBUyN;sk%dzs=2&D*vd zHZ~M)P>d`z+FWjwOokiu)@W&N23eM@N$mTZ+%|w0{7=O#%o)@98eR5V&84&=NJB7I zH6&Bz4uvG~S-rC1i{NU(<)D@p=+jWf%poSMb)45M{Qm0cI4UKBwW!P$tM&vI%8VR6 zQmBcuIq{}O3*_Y_JIzC;yAC2*(m4f_xqaL%78+UZ-}Ce452_d7N$K1pwAxES6>gzu zAC}!S#{+r#Q&jAave7hn@{kp2R7uS6d{WGsk5dnyv{a+s$Cus$Su?xc1$6dgdsU7B zjZVruZq%$1JmIUFS!@*U&f?IIran(k-kf40LmAH!hk9*I-o8p;?{@uodj<$VBQh1An-wq>lO(aA@hIt=fHnAAA|yCiFm6?Nr0mv*;Y zA#Z~{yUxo-_r4SJV%8g*im+X?;%mvL)f|7GiFd*}XVW3bbMaCpN2}EKc*vJl{pD&R zLNf`d?Q@LRwxjn-78Zv^_%UdfN!-%HYxx!~_Y!LUO z03iyMGyL;q&wfMXKBlgiIdwI~AxHE(!@YBrE zGrM_MRIAt$+Rx;X*LNXN`7#Kt#@`;iIkAOXU_9;4ElAPH3CELm{(CVyQD+_@Sdp2l zH5NM`#(;uCZm#G7ZenW5JL|!!IBHT;ns2i!vP-E6>PD<|q-ZD1@TXMfR>p0PfJ#t0 zTQgerPLU;uq%ezgR5^7Wl@epsYLH--43{Vb2J-zn=gutJZW+sip4-Tiod6x1Mp#KZ z4V;r;U4Cs=FA2S?7p{$WrXF8qUPyz#>JFhla?(q9yK@6Sw@_l+o#-ry@XTuODe5DQ z2ocn0I$l;^M@gu&zI$7IzU^V1g0(#R*+@sJc-K(aYLl7x^L8DH!Hv-ub~qDjiy&#- z{7uDqF0^H5ktnwJ5hm}{YtUxm$o2ehthC?6U6_|LE@VSOH?eHgnw=_MU_0rDz*dd& zW4wCsAZyMoPa_+4JQ1R8$u8ng2Jy=Ai#Ja|P|`uV1Xgb+iJP3Igi}NO(nYwDWSzo{ zE;tJ=|5_WYo$ZmbgV4oA@&zC=Zs-Yw2I^4!)Cg(&=_}0@#7-XwL3eCZxRt{N8GP~Z zJ2O*t7nPO8X~lD0*Wi)Q&gQlTqNzKN-OmSkV4iy8$+gEyeM6^D$B!bIPw(g~M!xL( zV7XW%-#dAqDy818bZK=x*6VHel-b2L6p?HZ;LTyFdfet$D)n!Etvb#BQZC85PV+(Q zXwz<7Ro|Qci5I!eyi3p^&UKf`I?A9ys_0^Sq;ieCi*mMoOkfUKy4NJY^#WPS_mNW~ zL2-~ovA*hLr$36e!R4~miF{z4&n-c2wHD6*nkKCNeaVIfZzh(lytb+T%(hLgt;{Ou z{>MZ`@xD{ZwPbBEfjJa{TuQZYkE<7d)9F9ErykMhUhqi^YF>uGDx4quj#Yvloos2z zmK#6T%|FeZ*xAr}E}z5VvQhvIe72F%V`I5OI!%v{@@kfE)MkzZ8O>uw$Pm9~)w%SI z!Z?q|Yk%g;n!Gfq?4}!5@)^2QP)`r)CL}uP(k%22!GM}&ZJ%NQ5`J;723<`m;%#-c zk%dwoSh}OLjSbED7hH$TB@Kt}I5msU+Dq?$yU& zkvpHkwLVwb#M`CXr{$lWPJ&xuM0c^8i-x#*;5mUCc-1=W6~EYsU?k6Ks9gA_8{F6? zRARF+*h(v7=@Spad)RgEHw-yW^y{tg%C2>h!sOJ24kkq(hLQ(IJIrz;8@`t}R9|Dp zt}83Z1=XzHUrF2kvOMV>XIl1x0#y$sbw3KLB5jzuT=i?L>*ST6n&)EQO1Wo`OLuB; zjCf&16@zz$N$iB%YX?;Sml|tq=bK>vMJoTs`$lu13ft^+>G0N{Jg}S=Rf!GCx}1ty zcE*+5C{^SOn!-f7DCxM@3bg`~X}LtBk~QgN1_EmJwIENmA9AKO4`Yozw!#_n^(?Mt zS}lmpN2t{(w_kgJnjoU%paX4o?>T8$3Clog?C5E~j?7+5#+yXLe z;Z#^H4WATtZ`J~9MOSt=BiYClM5-`#5q_j>9{0FB3xmX!QhK}hopXA_ z7Riz0+bl4j_?WdX%T|gg=0o{Z-fV~o-d%{u@j>E;^u&CT0AFsf%dTE+dhG9Y`x z@r}}{gkC|xq|dNz21Wj{5T>1DV50tRP^=~BOVw|L{e(AVTuzvLxa;&P3gubKSWv0_ z`8u~5Csp<8^}nI*yJ{%Mk){yu(ZI5F^F7XZ`jUpEQ=jT*?a++tyTO&-WA7Axg?sxe zcDYr3`^3*H3GQZrO2CvQscd~I>U@r2G zHRpmTl6<|nA;xIorMuxjvRO`gi!lhV; zOY;$S!iWF-O>F;b+DckKm(Kpyj`CEEAfF(TM+R}BRvZs=eQa(S`|e@6T)T~CLOvRj z^Ot3}V!c%!?qt4L$bI`JGtqW1!;w2~YEvWtxw<`eRJ2d>D%Jh|kJmjJ1&?GU8k$8X zhCkzB#P(l&`NEDAV4P%S1_?iJXd#Ohmz726@`j!;WlIwZ&o1;v>9*!3p#5D+ZR25H5xPZmn$u|kP*!76N!NDwTa3S=StSWlOU@8gt zFQMxU?BbZgrO!JTqEj{6DZJl543(W9dGFy>n%B_=)-*vrA}lDiQqeyU`xh!a`eoW7 ztFSl7IwX657~HP>oN(dYro<)6vH zXiPdMr(35wwk+Q*evhyE<|9zc*}bXzc>GoE6z7oQ%*of^y-!47rTgjSoLiGlSI}>8 zzDp)BZL*?AK@48|W%-DbWe=F_Mvw)wcps{g6fgGE6f8={cwR#20d)JLi*%i0))^)u z5*{w)%Tw;X(>sf~O0q$^iTt@fQhr8UgzpNs2a|3+1YfG+!P6Puuj8eFY&at56~HYE zfGSo@$&~MBe+~qUQ!?IRmbL|mq=iKTEXB$?p6gr^#v3DXsXsj8?y>+q^8wGbS&9!~ zGUWXpzvot>TJGak95R^IKT(W+?-yvw0(9tqB9H&E#Q(pDhlPXvf3e2@$Rh_6>;F3a zzsMs8)Bjyx{XZa&WQ<%%DUuS6F%aiBw&jcv(Q6}Yj{ZF@84 z2677f8w3Joy@&Z1Bt+#)-%%D0H` zVA#SAdiMMSQ4D4DbAP~v`y7aV9f^vLLI(5E1oQIp2%*ae)IdV+Rglp^A&Bht1YkMP zW1)jPLH&whSpq)#{V2$Rk$|*3i0b?dq>~`&pdtf6q5bJWAjA!!A%G>^I3Oh4am>r@ zz*s~F&&;*FS{Y)S|O~U7o zZAiGuCgl>~Mht@Z4wr`X_5BO32=n)CU51Q+5jyzI;zg2h1L#w=LFNgrNCf)<>F8h5 z!-IhRR|pF}^k*_)(2xU$3;qP%?`NQ&qd!$6GJmrpI>L|%=f?$zf`I*g zeEB#M+fU+!Ji)(mUQdFF8vMnjd_wHU>t{0fuS5Cp zEBm-h{>$$A`|$8f_~tiSh_ZM2sZISP{pBZ-?+djX*Lwuk1F;9S#V&?S4)nfT(Q?Os zXbI;g4)*rlszLxsHs#N?u=sjQOkBqmZqU|=1p@i_A)L(L_FN16C`!0*O8NI-RR}mz zxNq+_0l5U`L|6k`1BAdYYA-nd{WWnz0(0Vf)md_43?v^Djs;A>oN=EVbVwM==nMhz zXWD>J0wiJpS;jy3=|8U+CET7mzX_25(iXqJf(ytOPJBFAAddoYS}(8#IAM5Q`%imN z03pjieL|mo{5C&@G5xb#*I#&PWP@FxEB+hkl{Ug9ewYUV1xnmU$TxM%Iv}`yyc_ms zD39OMAFrss{eFAQy>C<)*XxwmM{Rn5^UV;Oveft?23|pb~NVZfuXXa=pz-*Me1t2 z7`=AQ%IpZl!_J2lW=sS%IT5PcWnzhARW;dxh%g^^3|D)lZ8Yf@xsNTmd`XKup7A~o zl5Bhn{)c(FI%YI%b{X*VX?H;@3Dg=P_;A43b%7cXU3`F9v!$`|pBX2?Zvz$xO8_ zYB-Por9gBB6^l#wvrK#Xdf2ZDSv($mrHvyN=YmVdS#IQkeLwj}%T7+1k$L*WS zu?#-&;*8`CPdWu$Y!gA}@?V@l9dr`iaxHCzH4_V6G1y>fEteor9dCgCA)z8jVqXjf z%bL^{Okl%{sTzo}!A0cjy}te=W$A6bZrz-^nV*t#2#AIj5XHWY_pn2 zP$kE7H~k{oFC6)ED4D#6HC;3DBAd?GaQ5`QO(Q6JID=!s!mm-{g)a+P0vmq=kc^5* z73uHn>B6<6%2xr`9HO@~Dc@PHcnh1vjMp=T5yEH;lZ?Ci0!%-) zL=SbE7BZ(eIUM3=U-JmNx3oTEA#8D&`Ca_qSBCHd#B zpiZTI5q9&5U62MHgSxh1?VG=JJtH7syE2fB0YK}219BzlJH9zke4a#Y+}U^cqtZ5m zFM#QXBnX*FTfZVee)b~jS8m}&zZ_4Ast^H|;SV?UG@p@ZX~6aLu)JVCNI)(h!Y0zUHi!?wjDiTj%e`YvhvJyewt3M&b_XKbTA>+zW|Zgj610( z<2CynJ$1dt@lryVIA%8CDY!7Pptp{;EKid;=K4H9?ycu5%LdSpW+O$&t@OccC1W%} zzA_`8-nnA#r5+MO9m?7~q5)_7=~s~4&|~QAI4hG)>eGt?&Z6Uene+;0)) zQ*!vPd3~g=l+aW zukl@nH(ibOl-3N?B>=(Mn|lv!^w9=j*I1L{5V_0K1I3}DbLhxCozeXxn&u#WJ1!jw z?ZTaabv>Q(l=IkdyOIMg#pm*4A|iIR-HfeTsaz}CMF3!D_MDeJr+{9#(>GVnRD4Q| z3kQBTgH|c<3BZmgl+zLi#3TcOt{qpYaSaA0cjMMRaR>Cv`I4S9v20oqcco<)PKCY{ zS;andG65rV)2yO-h`6wlpuOf^hCgI50Evxq+FFlrZM_=JDvg$F#s=Hq#iG7VM^dk< zY&`MlK5K}?3R zTshFyaXvyuazBdfSl~<^KSm~w_U%`E4Y-Fs3yNcjf^%Oo=DC4Hh~9KjH&4Ko&Z~JY z7AnQA6WYA-vJ_8`w|E!HXfP(Z$pT6yesaH(uobjASpYPqc09vrV=u8>;B&mQC2 zv=a$>rOsetTEM}ciPw13<`jXd*V;+p#eYC1m`I+fblPv0o1vcv6Od1=Sq5_?G6Yks zSI9(5hh~_*)g~k-Z{O8M&`BN~O+)VdM9dR}W4`qb>X!uS7N>3U{r3U}s;O6}`JLa= zr*qP&pPBPtwd>}VEg1MBKN`?la#|`o`EMR{p64QA0uP&C#Z5}j^+9WhaRrErR~KT4 z_(HztQ`$TXIKGUXL{qI{6{*4%+Sab9kpCv^uxId*+c%*hUS=wb9WzFNn60)1tDPGz z4SMv=gUIg%4eM}94nZ$R}(Rx_CfE`s6#EEvhQZ(=-DS$uOlLl3Kd`T%W8n zgZOiR6<-U(JRoK`K_{eG`AcwtMPK7WH^YiOG_^)sKtkO#5`|gk71+hnvh3sEQ9Q=# zj&wwXUS>Ifs~|{FX^H^0fe%`HZT``LJ>`c|%{>@C`Nt4r_A_hNCW0?~2`U$nByv82 z#Y0G>=}eX??UTBEj^`gS+N$%|vv9&=_A(rkp}1iuHMV=DPaHEz)k5(r( z;-DzKp-C5AAK@r;!vOi?Kj+Qc;RT-RnRvz;Nt_5O9Zr76ipICka>wpwHho2j$vg2GQ@%SF65nAS?7 z$is671?>-S-JuH!j>)Gb`BZpd&Tux}4L)S9#Ij?{26yA!uHX@Cd{GJg4@giU?4suw z`o<}W*KVsu00NR!Vw%FW92rqKRfr~1OrA%C1?+!8lvmFYE*(k8f-8QfD+Nq;Y zI|kbeU}U-%ByRa#y3LF&-XZBF&uVZ(jhl;TYj-QxlOZ4eG8G?*WH@d~s)^FcY<@DD zaQ4yTV}eePC7Wg);Gz3RsBHU8J^s0O3C{pn)JtNiVL0ET?)|Kz)6~I3lw@0uE_44m z-W~o4`-I9_EwP$izDW(6Qf1S)82+tbQJoVfAE8htSDPjMH)nZu<^a5v&OE=-0_m}! z_&0F)U_BQqBVo~`ft|QO<;8&G76B8k6j97?*P~CJyPf^^9IDEcVeVROF$&Uq$@<1< zX*9G7AiVn7Fv~`GDo&s6o&#x+e&;Ed7Fb}b+Gq)`ss+4(w`I zF+*=n{J(I~_*q<5N$N30>Nu(!20X9I)oa&1$&E|P?rb}@y@|scMC|9*@UhpQhF2Re zJ91aweMFI@O)O!NrYl2KC10muD2`mRlih|*n@fA{Ucc=|zfgQP;`EtCn8rOr7Zm}+ zHKu*470hufcsZAR z9Sa&xj^@25CL+ju5ntH%2ZJ!=k=ivT^_#0emd!001dzR-L(&_UvT77qeuJ`ZUn^>M5=`ozzVX!P%zzlRwp$CbQQJsH_sjSox ziQZih0|-=I887F<+S50oC0Cur=r84xeUN#q4%NJOv=tA09WE1eub`M@evbnd6+9&C z_|0SBg|NIfqD7N3?mF|CNp=fxlB%{5`n*BQ(LA{_z4$G`KlzY08_D^v3D9V8{!*W} zKXFw|R;VcSm;hzpGa!XeQ-UIItDGs4tMij6=Vc*fEjT*?DN-i=M2qVkzn)hIGR*!P zy{Rf5{tE#suWu^SxFk$b%VFzw7wy@M%zlk%qG_lh!LKJWucQdhF@@b44{pilM)d>T z5Gfd=_op>^V3%uFr>ac-<~j?8D+yC};Kfz*Z={*yXovupnAHiNCnY?LG-OJ9>SNJV zv)e@+MfdE+MrTj=>d6Ow9U&{$nnRK^Ep~4E@Hl#ZW_Lu|+YdflE9X$j>0!J3?_?E| zxxHc(`f(`5!G9Aa=nn0lM&0O1XRMcR_X~9VmAk5t^og0MtCW_P?|NmI6P9Hwk54ZF zX*2sX>KZjE2{|`WBb_SNF~;-V>ULx|OElM8^&Nu0Xk&AQ%9kIk6`Y0G@L7V)i@H69 zbN(nnYJH}YLX;)9CUSgqIrj)!5LtRD20R}8q>WPF5Um@1DP+->Lvx(I{yq|Q-6 zo{+4@bxS%*hUtT|&i@uGQL@TXx7(zz7|ob2j6`(C^Q{Y53!)URqgcKz;(QlE26a_s zpLtt5qEz}_1Cicv){DjC4`EKktVA)q^G&&GwA``}CZ67){dK6?%GzXSiV&#;N30ynwH2h|qJgisd!~I3W9k-v` z(=^_XO(%BR=d4ytkI$RHvdEQ`Gq+29b>0oZWWK^s%nkH^HHd0CZM~HC_lbwqd6xbb z&s>94648tW&D%w1$--q-d0yoE)4e9jBd5Zf)ZyQlJ(9jp+3Oq1u6Da;(=jH532z%* z7x=RzFI<_6wBNp=Hbx!oxpvrOyO~6F)?2u7&r%cwqfKh^yMvoy{HMm}c@B51CvYeh z(gL~49QD^;yVh9t$ViU%^yh8mY}XQJiBP`jhjnF^tQF65Yspj`aMcGf+g!W?1}!bp z-;HuD(iO%&nWkaE-o7%Ht3dx(?r4MF3z{E+>La%C&PwB!TD{Tf_B36!vufAEF+WkeVjLkSi0=cB$UN1sN@ifvmWdEK6&wd-OgU*q`S+( zyFCLZ4I8Z)n-d@01WTcOn!8PBZSNVyQRzs3zeYIvhpmqT&U?oKfQbV? zNzLU>>l#qdTp}ldl^UegQYLgl#m;Z4#96PREA)`ObzJFK89E=OYL-Uu?ot8ZY>jjdItSe*53F{CA)5`q0Dos686S`plv952I1 zi{5X-IMsb;RjDAf8@VS|AkEH42eUo#EHdc#;eA!DS9v8h2W}zy_N{Q_P9C$rc`A3h zhQAP{YSjgXM_~PtGJ5@>_4UY?wbm+Fx6;-q|9;OYFdj)8U#|U$HWnr*x+N&O!vLPJ zxdOH7)H`2JWUto(DO_`5Tq>v-S4C?8%~eUMd+V-*Uq-WRa?Ous$(74_^no#5SVUR= zBLU+aUdP&9Xems!Oe1P3RPE&TWtuZU$tX&+$3+isCyh69%g94dXZ83)=<9h2QVzopaJ(T)_LiUMj-+5Q87U zqIz%}h9LoF`aqDrgS%SS&@Mhwq0VSEOT7`m2Gt5Sg~;qP!)le*t^-(TBwIANV0?Yj0PnbIb`Z5^O4;4+!2dE$VZjm+`xB@KQ3Qcb zT!y3SD7+q|&n){|4Hk`1knOdx^xy7&pjdKI>Ne&O-CIPkdO@!9Hk;&dtNRs(rT9p> zM;a=f`vRJzeP_qx%Zey-eKP-u0(~`uoRb0L^a9hBWXi$z%3n~pD!P77QrOcPJLk8v z6ZH+{yFrn0sTHT=6+qn`4lz$*nOW$zQDdRs8^inb-fa;h ztjKuSDBY)$Tt(CFrW@eeAuPl!x%GLlxg5+f)>=a311)`MExxGo)~Kt-Z>i!*J6d|} z(o<_^MhmlOhpV1PR^zu(?>lme*DqcR(}1Bw>XMO>mAcRWgEY(Dwg`Qk${Sekl4LM^ z3$XE#udAOMaN$(W$^^WUE{(xIFG6>xE$Cg_v3>l=DJTqZY_A}Q*~xhgHg;-tq2OXq z)KtG1zAmew=Ph;*ltw~#>+fYXaZJq!&xoBrHcY38;xFut4RO1{C8Xtzl(#Q^*y4@fdba<( zgt4t*UVC|X^-$`^yQN%Rxr;7K5wdg6dI04P{D(Hs)KP=*C36{kgEH-we;P~K>r`VD z)xIzYxT6!H5GH7(Uh<{&@Qh@b6brIp>{$4#$_9GXXF2W+oxD7;yqm$hSH;jKB|kw1 zw&M!Ti3M92g&$dz1c`jl&hbQJIPtFmEX~s^cYG-3xu-WPr!Om4*Oz6oXxTvVl#VIPQ}x1Ku*(pMLA`~+gS^Uu6Sf*&H#?BWv% zx~519MYSQzQlDQ*QuH~MQ^#Hcv=I7UI}?hjJu+UO`4-|z`8^rW-A!{))T-0Cg;((u z7<_K1(fRChXi>+~iBwUhgGQ@He{&=)SQK_a?fcnh{v35zE@Fv_m8HmS6h00nTR*O$ z;6899x@CFP;oHn&gT(OhedN^@{W*Gk(VT77Xt6=){DU$6oqU5GPT}SpR0F?&y_V-ZxZNvaklK$s6v*#N9!t<$Ju8**n2Zz`VCu0V!&; zql@=(`fP3R#`V{Qh@u_KrkE|#KBY|L;IYJNYqEjmD^0s^_5FiX|5S>_LT?!uy{{i! zhX$|MNDfgC{z{xSwB11;QUU9J?1sXg(jD)r*z}!!pWRp^vKy&gEG(+?bFmY^7v#au90pNS&r%M{*MV!kIoJ=+g?fV|jJwKCC@)d)@SBgu<};Jf{M5jI`4qdxjR@&as}~&A+`zMR z_DhsQQ}Uox{bk}CA{OvErtMwLCYHh}j*}J}{;KQL!L6BbX@`*vvoK)`eJAdTL1tSr z1PPx$*o6H@a)&QNC6>B<*Bz1t zS8KI}FkHk=kU^xj5T*MSTg1+YAsTDytUEP)2b#z;Vn@3GV!jY|zCaWzuxyu<{k3P; z=hv_LSHE#(D$9)DE4O>r_a%Kmr1m>WdIZ82UM+YqPN!?Dj{=A@rc|s;00?Pp79Q+j zpNa8YFizoamxC@5cnu9WU@+&4J~WGF4JKmXs5*|a00I|6!6gX9{T;YVNZvgp7bpOT zk5J*sj(F=CT3}}a&k%HO529?~p8*(MBJS4uB$}ZaK;-)IRU3#V9KMf+ntJMe6OZr^ z%r(Tn$^ZzSrigb9x|w7Q2F4u*Qm{{=)-S{WtyP>jJNNF+-QC?@o0F(*zs5DeItvI9 zY5_kFR?J^_yPwTppA3|xI;+o5>Ttva~q|HvXMn5J7|9>}mnRw!}uXDOiw3&^4hv z1OJo)F7^eKap=0h^)F&AL1g=+-sDa+FiVpd;xD;vm^{it&^jU2w^BZ^F|>nd5qlEC zIepfLFPI=MQ}DDH+^unFIALOYzheqS2k;<;)0^SP()L(}Hpr>d+hkfWQ=`vHI2?8} zd>_oAVfZTI->{%S``@7TfOsImyt24BLVBPp5FoF>D-U0rywhX2ADb`uLd&~Hhfr=% zYef_PZ^9OXCDgtzQxGeuK^4m9n2s zAs%3Ifut{Y;68nT-%ffyswrrgVE2#k@3tX+vYF$Ar6;bR)Xyj-4eTq}oBe$RNSjEA zKaifD9+7`t9bw2gt)^sGtXMz^{ogJk}VpOBA8P!j}z5q3PM~Cv~5IeWw242n8ir zouf-eL?Vd z*3n-B?=B$xPW@KOHMFaP&_6@`5U5y@T)}>Y1t65Dwy)A$y|yWS#IPXlSyfrc5^wxS z6Wh=rPQqUlj6eWpYV|hwi0j{v0TFE3h|ytU|f0 zQFw@VRy4n}-wXJ$>1DL${#zm;)|=bsTWw^x7qB4vQ?ot7dWEo!xtB*vEK9_iY2>Qp z<(V?~!X61h(#IuutAFrr{aAS=ANai-5GIS*-bT>HjlS}$k>JIGl?a4C&gM{mWf^2O5^|<>LZICq?YiHU?6)J_=*d3QI3q3?FZpp**3S%30ZxKJBU$6k!M)a(5$epoDJM;^Z`Y&t^mC2QFtxW@Nv zz-+BaNK<~(%wWqbdd-kB5UGj`=>|1s#uGxN?I3`&-LLB=C<$kQtY5ArbGH@IMI3hk zt9L$57GfC3)%fQ5hMc7wD#w?U$v_=RXr*j=p!4tAf#X35h_jOuL-QtA@=$cK=;;X7 z0o)t(!&A8F^HS^F0_!anFLWYw7V!{;!p^XcNep=qLWo(4lZo9E=wAt` zFIguWeVvh?H7*N|G1jE=D3(w$GB;U>D($WxfyIAY1fP`O*Keyi2q{Ul^2ec3%2UFB zE{TdMK;iO3<{m~k`qkRyzl{|?$iLMtt|_KDYPJciapZmZ_E-K`cjeLBB9hxg+x5ms#}6FMSU3Xg|k4#jeZgdMVqniAWgA@9*Q-#+6-;`OO?~co!+K1 z@Y%(ZS9B^k^6^}IJVg{WpCAJ+{Mpao3K=vMj}~+@{mz*I`6+W=^jPld)9k<9w2fwT zOAr0nv>NeZAT-0H`_m%tVh)Q05Ae-s2+OtaE3|J~H|i}(1IfzX_8wF`6jYLsZkin% z+mt?=d+w*D7_%(r=FZG$34q8KX03ygIeEJD#MQ-o=g8Kh65tDwvyPW8J99Lrs$LA$ z*mnmJf%~JGX&}*%sO>6_e884X={^x|ixFZY>&wf3J*k;IC4j)yWIWt1^)#q6O;1`f zXNVn=Z!l_DMY09F+{i-Z7N9)4qI=8pO*r*z1cdWh=5OKU;Oi4GyT!_=iNp)yFsbtE zv%bmaTg~rV{-N1$Z@C7@u*5kJ`u$K<-UwZq2st%>BGq|~4oYRAK7$5+Z-1f{9x*(l z|7tO9N9&2VY|=%IbP0;|OietdUcwRFwLU%FEsF`|?|NE-Bx8Q3->R-UokUD6S}p7RXLmG#{c`$5nYVwhLdp23I;0n#z2uyHE!+1I znCuh@t@>QZyJN58V;YIFSUcJGo$j0bxj}o4Ch^=aT6&c&nC{HaVjFNGGzlu8g@0WC zLFa!tiqk$w^(jgR8vd5(c#09kX*7Txe-**2yZ6Z44?weW=*_K0T2QTUrmlbZ`J;Sxk**MvKa6R0U= zU3D7dVJ~JHCMYCkJ|K>+azUms(WcyD2J-Avd}WNsT&aUMUtyqHt;nlYlriOICX8$T ztrW-!?%Kx_@3hhD_Mm)LODAMzV>beA1*_E7?b)tvc0Q7e?~XW<%uYe>$q~IUfgnp4 zl9W^7=Ft?u&$$H8TKSe_a$QYIG2DlG1^c6NCfKW+$VL2Q*ruTFm3c3%Jejx|3$PBt ztA_!cw!qqGPKnu_o`EOe$~V%8J&7RNrMVFV^Uw$&lcL8GZce%&FhgPx+{OxmjC2=LM*d|ZPakxv%y20jHu(6IYEqH}SK-i@PWiwp ze{Ha;8SWV>{u6{Ko!)2PmJg8^-hBB_UP|^2xR`xbN%yepwa63TP-Z8c^o6(K3rrW7 zTPYCYb2?&9eOQVyJ<0@HiHyb(?{ce7b(&$qmY}`kLYSY;S~#)lL2m9Tm=mrT13zPd>ih$YqPl&m86ZZ zcP{$TO8!(Fwo4njSa(|*G4j+ID_hAk8^o=0ep{KH;Ldf_?6`Y4gw1(ccT$~G{{53D zP6kU|>zij3-A~~B-wg^Ll-oq$QWp-uaj7y0XzzJ=$T}Q7f`J^aqk-a+Ym9i)0|LlC zGbYj`8h7<8be-CW^W%^IVDCh-xvUa>kfffN%>790OOSm@kk-gg3yN)-S zGPp@U8%r(R_F_d`f-m@z-`Um6=H8DNsusJSN|WeyWJc8-X-(GZnzsn#fyvvj_x0Mq zkme4KiIEV&csgK%ix_lg;d}_a{!A5r_w@KQ7cFJ$vTT2kJw7HVz~ci?Iz3bv^xr`> zk+L&aJJ%`5IC!a&%00hg@CcLRRjIZ~Xa1WvaeE?O;STJ@t?y(c#~XXWEa|BufI|GM zv2SEw(CCy*?By{I$T)U>1y!%6%2Z5axbg*_Ck?GOhw?&uRv)C`=V~Q|++fbF1N^OA zTq^){5ndw88n;L}BOT`56Ip?ZZ5iR{$4NF_ma7@3V{f4eQ1e22sC{%u+s z)!+w*7kag(cq(+$Z3_CDsUi0vvo&H;-2D&lHhVXF)wLj}7wkq^7=5#`C9XMGa9m}X zfN)lF?n=IKB|Sp_8Ha~}HTzEUjdPFFT8?9T4QKH83KOpn&hV@=!A#4IT$eKHk5pG!|leV%yn02SD zh})IIza(J&==ok4J+w^*4TS@JBJ{_nn3Bc zZQHhO+qP}n<}{{l+qP}nwv9Kd9}(Z;EoyQ1wYX7vG7p|wPh)XuoA4;#mf}e4aN}{{ zGIlZb!UPpB|1ZxXHvG~S;dbG8)j@K~<9Txt;kS1w%H1pBxgrJUPos92Brxak^Jto&o| z7FO}hAXZtBzJa0XkSud*UFPTl3`w0%V9`9p3Z5P#JM2ePZOjX5QMT)XoWiv_^6t${ zsv}A89W^la@Z(pvMph5e5c89JkVy79E!TXs>jt`?O&yA*8Ras5)sAfHkoYY%rst)B znmi2m345~2^kYg!>Mnfp91ncwq9N>Hq38agkfH4m)i?wFK+kuVv%^sRQ1mZO51MaW z3kU>HoRZ${NOaPxhBYTUHH6QcAg+9i`QwB*VS-Ir-D$h{9M7>87$Q4ydjCZVFDldL z(q_W^e8RkpL2VSwBZA3hmb;?p8d>-|jp~QR+gsxAv1JA`u1e{JYT`_4428_)G7=Ns z=^;1lXf573X}b%RT!ewvmdqpqsayYxgbSb1?g@AK@CSo;bfmodu>mM2Zgr+W2!Bk% z>aA(-&&+_F-?b4&nLD^!2uf*AoFmUce*)F9bAibuCSD`2W%-7@rtT#FtJhSAp6Phg zp0b#%hRkk_aOO0yiCC3KOV*m*c#5-%OeY_|f(9pppd8JbWjU``{$s{{P`z4E@`dxA zP0LbEEDL``>|9K53>B)s`^P*B7IJ4;?n5D7MNIYp4kKsgYUQ~*xNbH#MWv@CZjCc) zWEn&!k)R<2mdQj9(&TzZmZeoCGqxG&CgqB33#cxcBA@m&i}j?an&F@?Y^>T=Scd{n zs-OGGNJTz#`(If<*(NbpW0CCeoR&;^AkKnr*QyU4?o&?i)yatkp6^pj)+qj`*=Ed* zC9%Ol&WTO(Sg!s75~V(;m1Jd{2v}Cv60h#GY~q$PZX-2f)S5Spvg1tr-65LN@s^&k zm_rKwa{ouGWr_5W4EA!vYFW>|(sg1Jfz>Swq9mkT8? zCN!mMQ!>%Wmc5%mzjcVJ#rH)X(q>NEPcHvyuOu^>zl71-V*;F6!n{tm$C8`g+OI>U zN=e2wK{pyud3=9SJ?S=mM4|6QDZ+ajnQZO1~_&Wb`Dc1eiy5w2sfhjFW7f@yS z@{Vc26)x`L)B>-I(;jLiftylePCZv2r_uPmMl*4}7F8q6x!n z_o6MV#scRzSzgK%+nI>dveUy;RRilLle!8HW$fV3Gb+H&YrW6f>o-lKVj~~!6Z|Y* znB_F7f+*L%^JrIGHBVQm^@1d04%{k=yT=#kX&9+TWove8q6yq@bs9cyzhPRrSfBJ9 z%w-a%gHG&{rN$dqq+=LBwN{ZXh?(WCo1ptS8epW0OpBfXqCW3f?5PJAhuwZ|Igjv~Hq+xW+5y#Zc zQBKss3Uaxf$%78hin4FDq5^*paBfzTA>t>HMqs5yFE=zB5l*bF{TNE4t{?J{w$ggr<+*0K_;rW_)>hPpKS%CXBMpm6cY+pdp&B ziSL^0tyigS>y}Zfyw8CTNpmi6(jE1KqPu4ExQ3f7NwL+AYKfI`2wET2-7a9391#M2l0>QyL|JHs?G_Y~z6Q z(kqB!=-n2*$_%2q3bEF1L|P|zgT1~_@34l&mmx+5^65j!w{ng7$dKb3MqvfKW=6$q z7>N{H3J(jr{)(pHWR3`9jx}VBg?)(ElSYg{$*NI2#cJGtLR`&I;ywGHZr z=5Q7!iCvhDVB?l%oK(cOW&3`2-t(Ea7Ju)pCKCKU3O9MlCrfQ|8HD0kafR-r;hl#{ zuM5#Ioj#V=N5XyV4C!@9*1yRiMH*=P51QsFH9kJltdEo0blH4 z8b-(uyf%HN>_u9Y^Yp7=v$`p`p#HOY7%9sS6*zjeiF%>#0{DcRoJIL98yBRp?U-&F z3F~JYjKm2&ZD*VAMJV>nU^P!aGsFiDEp(=;zrV?Y#B|hkenZs7(*M?@=CVv>W zY#XrmdeH|f-<-o&vIN3*yAO8yGSpH&O_mGAdbn@k9lGh+o-_;BuX%AgB(nLk zkl{5u??akjE=yN!IW=J#P3LGX2bJyXQ!-poYb}*S*E?^++zYdGrEysCSR{=l-GkG2 zdk*9!!(U)T33GFN&rJ&;H_SIr99M8T^mF{RNACXA_QSI40%lQo%*=D^$5OEI8RZWU zR$Eg3B>Z?zaw(OjTpZPXP$qM%=HH?q$V(o_Udu&_wc)g#%nr#GoY+=KW}xGCxHkKV z)zn2#x5KgRWs)S$g;pZ_cJB$N)%QqgGb@Uy5& zmDO{_Tf5#+aC01dgb$N8#C!JK3%8C@u+TfB*&J=F)c2#TEishOtGy| zQ5JikV&xhvn-#NefC3#bF((#pKk*XR7Ar2=4#yf4(tC!=unA2+2$s4PCwp~^C&Flv zZN&XDcyjt$!sM0w1KcNPW!c}8#N#+iPGl_g< zl1#NXZ@h7RW_BgyT9>L8&sxJ#Tv_%n@CW{ zxqvqUD7;Ru4n;>cLLGDFkz9X*w_ZP4a=w8Ti-Q-TI+D#_|Au}!wt(Z%mt7LALx1_s z3sW-5^oxFp$9|Yg^P=ab`O3=F(wP(_+C59}uw0OiFM>e{`zWWh&@9T!Ics>&KxuhE z1C8?-JIr*_wU<=$AKvWl1)I3h?OpcUcwg$-GYDhV-*=V4q-Mb8A(w9Ph?b1F{M0%= zH2ZCZw{LG(C+m~IkuZ{={oz$Ko*=YXDbn&c5gJNNjF?Smku|^ph?=liWx!f;l8FAN zOnEr&j(fF2(Fg(56%UC&Kx^4NH>!@9S0)1$=CF&jd*&()8hQIhc0!w{3Bc=^gBA?m zs|$ww%Q}o=8W;-5pL~_r={t~`D zPhC~=9BPm8l5ZmxnI-5Bbd!^_$jguuM$M;&ZsBmZTO&{D^EGnjt?zrkw|bs}ip`Tr z9uTXrF$nzE?O^GT3)%qNZS_|UBQu+v+tqf~uo)5+q$+Cm!1j5dH*NNK$EyXs*w^#$ zn<9JmlUamFz3we;?w6y#Bw2p8qW?g7OQEam0F@K$>)ma7*rG`)zj&Q$>Sq`9^(8Vj ztv?;o-EY&kQ9NdDKo^f`saXf)Xy+SR+#DAoj67tBSe~~E(v4$VgXw z>bi2G5njqg2a`Rt<{ui2e|*HFt!iP(!N+{kVhyi_atz0o{$@ELFzhZx|4fH(1Z5+t zZ+qq>P$U`?OZ;IY&pO z#SH4dEUPTB!SXMkHJqlqdP1rFSJQg4%^Hz=@NKPbdb9a-KgRP-_?u3>!2CUINPE)c z@ua+NP*Oh&kpYcud%fQFC3HVJ?F*BykaL6Fj|bBC5NUg!KZPYJVFwIRM$XKEeHc%+ zgI{^R6%Em^tPMrr)QLqNO5Kl3_qgAIUkZ@hJSVxs7aB_zx7&$Gw>>(PQJRE3zSrx$ zC=L$YZo!zmo6I7g<3Nm2hv-w6NWGK-neFa7GzAiR*}cNLQw&lR!>*VGr1u_nqy?_t zOmW0DYh4B}x+QJ*N|=PQ>4z)2`3dp$BFxHL1~TK=N!cs6O_n$>4d7q1Waz5NC5 zMEmjU18dTxCq7qoF)7Esyp6v^xTys$!>!U~q`DTVo-~OK4&v@yksqUzt1#v0{TK6v zVwqO-u#v#1O2YM6*}L;hE^y+%0br9HIBBtjg9zLyv0&z z`m*VNrQ?`hmMfr^(6T0uD32lCM%(79CTY!w~ z-KjI|xIdU$7uw=lw&kZvUs>4R1B~(+o16$S;*Lu9?+>cyD%#!Mv3}c>&#(8X)muE& z-ifkuJ6mD?uvF_>Pxo_-^*Dj5dX?&QH7{<@=^gk2y>f+}&L^4scp54|# z&{9w8vge`F(I=*hd|a4va?fpdgq8c2@yIQCoN}Lpj{wY0L*#w9Ss^c4@owe8AC%jR zH*Fg~<)w{k^|k#_AP{}Q?H+NOUw$U`sFs1YO)cOZhwSw$!GqT99_0kVe zEdh_0cog_~-B1I=xmbfD#Z#+~Qn3-YAJ{7g94ccH&)$H@V(nO|rtJbwUnris)RQkW5$uRF zckuJ*a=nie;*pan0p-NqVzfWCQ!f4)eni~BZawKZet)=1}xUDE?9N%uWLa@6MYL!CStVSh0KCWi3f)~lqZJSCo0y_=xW*V z2Wqm+(v69m8l>@Itw{@w`RTyqaO8O+m>Lg+Nk;U*m4 zG(PkNno42vpq>Q>0CWWfpksr)6C5h@w!e83YAEJ&fGcjj=)|; zxC9gf=umr9a9mJ9-g03LpnSm3wX1S-UR~ak%9qY z_VgU&@i}1LSQ+xbU4wtqW&VUbq*@}_i_0H5bWJ<0}KQW{K~zuf2b3YT(~nV^#fj?z=^&SE6N2BFQCGmRbE0E zeK8OKL+3!A$=gM-M|Kac(1-tWyG=$%@F33AgYaNj zK#cn)fP4!2=mU%?W#{3z^XLBYBtk?3Gmrp>F@Sd$Dv(29R_w^`)Hu zSq{N0=#Of}q1m8de(3Sl^x){$M#IrlQhIeAs=R(Q)nShV!oCyJBicX!o}WTKk^<^& zkPy+qfkNxOLi)e`kTDUEMDiKe5CFK18TKMxNZy;(6a^qILbEZ?kAt>>4pNhj@Ii69 zczNr&KBs|gp8d1^qp{##gSr27L3sy^aJF@py z4K2({8ONvAR4-~N!)%h>Qr=S77iG-p3P`<0*eh1?f6wkV>i+BiZUrn5Q^mocO#v5w z#bs09pWx_Frx7|+SBPNAPtw>MPj?#g*9;LO$N$|#N|XCmr$ufIM?(X9{P<)Ng^z0X zwkD~#nP-{@wQxM@mBckDkRM<4Iu9Kzr12|KO3CpFK9Ahw%@O6{9v^-jKloWm22{Ki zBj^3=p!EG`AAM&w9nvCZf`2r%QJguildyST!f%2uM?!Dw(L+-EpyhTPuYyd)yI@NO zi7He!hrpi-(y%*PqWFQF1DG}0is<-++;Uh|MIRZ28YrqU)EaR z1q$aD_okY89W`@F?L4o9ngE33}0Iuh|Z^Cu_V zF=R4QwO7B9UVlN+NaZO-TFNC!Tt}izP%f2YTb7-bX%?|YH7-Tjw%HHw56e#F{RZG> ze55`q6Wvf40;RCL18TZ$+b9m6o=of3G-FPrN3^v9oriC~RKza2(iBIf2I|f!orQSb zZ+#TZy~XIm*Xezr@EUS&9CwJYAxqW!jfYp%>?Uu#AnN= z6`gEl5zjqO=%DI^R*kJsbRqcg?jri_lcR12!CizAO-*rg9Z5w4g75VLd`Y4)zdxY) zLXRwrg#?#9%F%u3{!I>h(8cQlbfwh$1WneYocL{(h_~DWvN&Q_I+t`7iuteM^13PC zWv(+rDNAZq{k^E7OGVF&0*~Ah!S1~B%S~5#zT&~!p@*Pk%K*XnIJo{xkF7&EoDc?r zcu+Tb5k1}4{E*Qn%U)H`m|+c*(Deyd4m0siE*6hI76O>;jU!tq7;m5NAv*qp5JuPA zO>Y9WpI+zA!sVlc&7%%ohw)y!>x}ZlR>bV*m+sDzv3m37ZRO&3@?)1w-m>G^3@N#jGB$5~K6;WFRrr7`tO^s@bZFTxha zZ#@apqL5}Ir;*bporF~NC{?PFPaocaMi~p9_1#%Ru&aX9YdJ2Z@ZW6VatFYO%Eo~u z#xFj{Kg!jn(A$0i9G|T*882v3ikYBF2Lj#Q-HEIGwm`S=iNSY6H z*e+{}A}>VoA8RNEjmUq&qVUh?*C|`e3SrF3@Qa65Ft?LF5Hd%m!p>sOVYf=SfGbMg z*fvV}h2tbu1hMRQ;MMol=kF1!LiQ@ppOnDBFSL|Zx)nOdw9t0mS2~8I$pC@UZjxYZ z+DPUTd>+<_m1+El9jnKaog#fsoCR+ye7uga8DNf=vdIeC@pAXu<=U|h>0QyjZrF3A*O`$&_PtLtQ9<(+Z(D;*@#?`d$I5Z~dUT1N zSU9~8KyUex=Ovyi?6Ru1Sdq}9wRHT)Hujt15S_c4i%`|YZ8p`zaZErrT>NE1cgq^v zlncq2@Cdo{iUrTF$kxpfvk5aLN>Y<_k7cr%9GwQX+6zxNRyaq>i{H~*i4F3da46)8 zY*U4v-BSHMm=Ctp!bZbQ6n_P`b8rSm!BiC$Fu6N6Uf4z`hAd(-#(Cv$Zdjt}-#MHM zUAD6r`MYPpz#H9mJ-8gQHLn+k?X2jZ&nDh%j3a8VDp_2Hnn1Ot+ zx0mhK%RguX11%wv3d16;bbIq~1cyEUn(r+PiYvkvq29I>Lh^c!9&bu2MJGyob+P_?08cHH%03#!^0qI%^}%2 zR1wM$nVsFF)i;|0^5>nXm%MA>yjUYlW+#l9DP0Zcncj3~D{gk-obgxzXpwIH>qFqg^wKKc~LWiEsaA51sHS87)$} zuod}JRX9tOQIPO;-&h>pni|EUpP!slNuL0$b!#T9GZO^n<-`GB-FLYv4hM>_`CCJ! z9Kx%@d-K0%74%*Sm|8MvokQ-`oPO2@8{vXFm$*e~IM8zQP#Gu5D~hb8azMtPpYmG{ z2{5lif>8rYlZ)W$;YJO#$WMZq_>ubVyf@61k2G!j#Va9L7W`vuQL>ID@yJ=y5NZrx z_Ik+G80ZMD$+1BcdnnP!zOaWKy#^b4z775s$&!q~x{0ajUjLvg6`x^2Hy!qoyC2dS zZ%4swh|`t!V(bksMzUpi?Uj_>E>;;^H@uebC40u1y2lq&cp;80ZLPpB4^kkWre>aZ zHqJLl!SUBJ;Jx}cq7wCQG|AjyU&Mc^%E*}eNR-$U=P&XWRpzreAgLf=-c>l_nG|MJ z@sASlRD3m?L-L-wKP9kr((nc~FPn-CPYR$?Lo1z8F16?-TCM@&z8zs3v5jscupBKoX0~Qg`f>WP!KQE9Hi7>T#Q9OorC;7H6!zxH}{F+OM1)9O<#q zkfnUT``iUfVf_419iKtz-$|y20^Ut@nF+VA6nzT6OtxYXE>(++;%fsYOa-}Jz72HB zUQEQyMzE(sgdjgQ5<`rj_|Jqb_(P?2ri-H~DsuFG{(zLabE+_}lg8;E6bhBKfLKIV zaF0kMr4LEB=T?miwYY{Hh`=xRuzljBu^VPmIuBCHXEx_?o-0a9e3tTvLeI&_nNuX_ z7x97Pz1yyq2JqZfoXGr}LN?bn5t6s`%{ZKK@n>$YW@|eR)+dC|#qsyFT>S#J3qJvR zxeOusumKM%>3W4$@ClvoKZii(zaz+L`2>S$$kE3twsZ(Bc9$xi%vkt^K$WQ zc*Z7*0f9ylWXzx1ZXv0-I!-s6H*RJ|6~8OF?*+u&V8MT8Bk> z=nGd%Mr6OSNi!eJQ4aQs*X*aJ+Dz5EeNp=%%&r6wrr<7SUmE6VxSRO;?v|aSGg@9-s#N+-i}?i;d;=xz{S0wy&{3;Wk)}!VeY0+yBSNu zWxR4L896gdZ_u7ivxUatZnzJV6DG4C*gFzFNQ)Z1)jcL&Dqh$ZT2Zpv}^FwR4^ugS&j;H~YZ)M-oF_NyH!+K&@T zDi`P;sB1t|+u9$A}3)~bTyon<3zI|7L#K^mkHT=X2 zV$wf<8aQEkhzzMQ%+XBnIBA7K;IrXxSnuqdAI&oZRavNFlO3zmNUCCFSnFdb=br+d zgFnRFNi0nH{JvfCAJt+J%uVCCda`9```gC5*>tMCKnM+)W2wf?uEe0WthU*BUgkIU zER@bEpwQO3?lk5LBQkqq^gcPK9!S_jRD*mLu`L)Er4Ny4x06Q^pC|eBn8Ka_=a`&+-X#VYM)vui8@Hg+d?(4*DW4i zMcol&ov^OWVRYYe@KGiuld|dPI6YEux?9)wHl=zH+5I?h&suxmG!JhExvRX*45Z<` zs#ecF`(w~c#k{^@?WA9&zaN|nRa2TNVb_Yy8y_Hnk14a!*JrFx5>mXke-42TW<$>7 z&5}!zcdV4-N8$5aVH3+vUX#Q{uNMaW$80nPD>j!Sm|To6<~{(huv) zlpDethnBT>Z>_b{e$9ljn1Sn(SlxiRuVNBS4^Wk;t{86=-qNBA&FWR}{V{mz*@8&l z2{VZdYJ>KDOiwS-Iq~s3{qpZ!?@&mDne{d*%_!>8z2Yca7+m01ne2CMZVgz0@R>o8 znx+%MAayO9n3?&LCFYi(2cjr+V3WsDFk&hDDot6sr`waUnx%{Ae63%!%1_>vi@sv? zZq-vbP08G-yHy{8W7qQHc)flzO$m7~1SD~b;`hMEYXi_Nc+ndRa~Wd~fGtluBl4a@ zccc%V(VEd^?uMViHZSbp+H`lN<$#qL#-*H04U3@;X$$fREv_Hr!$$?#>O^g2W&nI9 z1{rUn9g&;O>eY{))4`7mk;$5Z_wp`DJiO1h52-Br{<^+d_6nrw zeztWKI)CX;WU0iY{Btgjf#aVUXuwM9_Q8ZssR0INHuSE z5FtMV^o)#qTLdD1OD4Gzjd*>%PiTlY-lJ5zyi_f{mD!~A!kS+}MPtrWqD2Lwl4mx~ zg|g_djUcxR=|79Br2$7*mJR$SYTAA*r4J7_@XFZo3>XVNz-SbTNoIksNtAn3OgqGr>N8#6Hm4M*XB&SG$N1D7ld-Jf zTUT!7oa6Lb3sx}9&!ZWTcK8PAy^Q^&Oy;Y53iTvvHlSH-D)E%%EsmfjUARB9P4}U{ zEZkMgKj*@QFVSL64XN#pK>82HLn@N)dD}3wur+MrVQ}-G>|l**f#3VdPb0nln7;nN ztEDadc#Q)lcE9vMaXt!EqiS3_RzaD}zt&B(hxBqGGFGwDb;K6^Wnztn7`yXh@5axr z!xP?JJIKUP4xuE2wAG{4h|5wYUDa9wNgCz21btxDV82yqb2`}KF{H`dX+HIQEwu5M z`ly%TJ$*rt~VD|It|FCP%rWHK$bbp-=P{gG-8t$wK$fKoaw32pkGn|Hd` zbjvO247m(VPYnjQe@vcV$ZjXUKn&ekBJp4zn%WBhy##HN!iyrxlc6~Q<;qfNYt2J`v2@`t%p-exhV zS!NIvI(W?KeC{&6eyPvoCtV7HQaDfGU5~7kJ0>gTJJT`S<52&Z=s9*bS@X$;`vZqn zI9t7PA;4~sjp4+htWzb3PM0C`mq&+cpA1zXtE&DWJ$yWxA}T$iy_F{yS4HU(>waoi zG>0klh;W{_CEMsx`Kawx%^}aJY;8uD=koRTIMYv`mL|I%no-Z%2)TB8#`z_eu!dql z#N4R`dDey#UVUOX>-g08-{YFvaLeAAD9U~bCv$Q`vPIw^?|62zP^eof+wH2_Ou63; zlHE>JX_cpWdvyZI^!Pg0aNk2ms^;8REo&$D&SrzsS0`6-5njOk)*KF=7-fzd;BK!T z5#PD#3FFYx2V5#|m+BHU)v%hkkmq+81WDoh?bME1OWxPH*&eBv4J&t^RhJzNwjBum z0Z=+iU~q{6k+F-~8xFWKK{HOKB}bUkDe}dAP-dt|Kvon{p<5m6o64?($atZ4?EQ#( zi|B=rBN#FWNVtt$arE*uyX3z`8@1Uj8`AqVm<(g)9s76`Y-%V*L<*yq)x1!iH5)pY z;-{_Z1$R=dbhq4ppK|F~^`6`8wkuTSFzdPm>|PQ@L!@2|T6ai6j^@k?1?2Us;rr98 zd*%@za8Ip0-$$7#h3@#(;a&O<%ZEuy_dYopfXP_kWd4KD?GB2DC7#FR)5i$XsEvVy*y#6?9fJmZF z!H`=>K1&^^l2#W)i{UGeIUg)-JlJr00mfCFf#-|Ho3rQ~9`)?OtFPPm&--hml;Ub< zNh2UAeby-o&0jQFpK#x>5iZ$`hgQoxorCWW}570v1$B50L`%bJ2zUB$fV4pqVJ^7{P*wyy-pQ#sR% zRiX8Y19Ku;2BKpyT-28WICaLPn%B=U+O>q6z@j@+#URsull(L-=XDxTTYm1t4fhKv zb2H~l$}t4n?!R7*EB)(ie7#IsQMr1|T8{;JWFGZC;e zFme3X0zL-=8_WMb)B{&Z(q5$NE_{Lm11*9ee2RM_!WGF7fB+PdBna6NjA8*SmP9^> zQUXORdffpzSM{m|0`gyS?s?3;-D$qj)x4bU%=I*TnaVML@mkk(eeyi6LR3>Q1;H7H zJ~&JTps={Wjs|*r2Yvr{BG%Sn4JgFV^cfI43I7FJ!hNJa=z@TdpoMd3L>QqbmPC61 zuI%Cf5(ofD2>_8&caOjzZ|}puWJG_E07UD!r?B$I!4<^&@@qt{pdifYNv2ldLU&GX z)d9#upaGE3(S7g!75`5`L9SLaIrcsU33WPk~5VnY22ue=F+0K8q=01)ua`44;_e^VpC{A^;v z1QKLr^*hjGY@rzdJBI)@{bhYq$SDH{VA%RVN4z?V68H?>?q?9ML(RD3c4iRJltTv) zLw{5EtU(}|!aSZhg>wE ziTSY!@c~*${jc{g#sO?ICo1r5z^3qopAb*Ih6^P?xSi+6_q%y_i;4&VQWqwu06<+v z3nTX=@4^Dp{N566XSJ%6+_dBW%YZnX<@jH&@E8}l|^^*#~ z@rwmV*Vk)oNjOdHe?*pAuDzz^~b@a-@C-8%UzyWd;z)hqI|3rX3@$@RnL{L}J_ zZ&rsqHGfGDq}60c@dRK&G-nL(Ykz@!mYcsEqBXdc^|M(K22=43)@Xx?t z@p*X@Oq5S&cc%6;8bHQf0R6@u1(t2#z`p8lAq0>|4YLi!@WB33i$!QBLE_c8t0aQo zw|lvZ4vlgF8HykqM@*17dqthI{7aE!{IvJI6VKkecE>Z*#w&y|%y>UCDhK@AJP{Gy zRqP6>Yu_-_T2Qy|s4sT2jSrk-HhnJWELovR0aN^9`tG}Pb@NzgrcDve8r1Km!1Dgi z^sd)M_h>7vjI;PjpBwWFgKCSY^I4bSy}Z|9M$`l90Cbd_SWm`SV06TU-BMQ&qq&Zz z$U96PT8^X0&Fr*ZZcSzN8V%Dyua5jwfy=X zDe@ZFM_b3JEmq`r%BOoP2VE+(lBJkD*>gcldmTL%+I+Iaamr=6*0;#rfggezE?e?c z%1R~S<0@*FKi{r@9j7*pa;C4KFh{xN%EO?Q?NRMi*Bpk)LU#*E;2%2M^h^TV`otHu zka1p6G8|fQVklx?DS-$d;xunH!Rfp+RH0=V(Zxsr>|VQy!${nu)XX^d7)GL1EaM;O zKXSE!!{N;0QZ_Yqr$)Su4>$y$gklillM;z=ti7GkYBd)R3mC%?^%p&&V@zwOj|dw`xV_jHPkQ#oW;r`(sQ}HUzw9- zC$l&wdNm|Xjq=|zcm+L$h5o|Rm0|$2$vA4;W5JjiFoRzl`aoU92r|CT?ka9I)}J}PXXTb8GRD_x#@YtaI}s>t-cw{ z6nFb{@rLgE;SgxnSQ^o0$TktDpa(e{-R=*v+VCclTK#GH5iRR0XLkbA7lnV=UAV?W z0kL|zD(N$mDKEu8tQOxZcB^>wlIcTXixMFygAMH=c&1pit0L^O)eZhcT1XkZ`+$4R zUb~yO_F3bL(F7C{1%e<^7#HHyN8i!0qm(w^E}lK}58@6OCnF{nL|G1(8M0FKs^cu- z-ZneSagjcFwA&2ira%(Qh*8PpB?t|V?J9xcNhp@S?n)(=Gb`kS#U zcLY{yZv}~ms5lgwyOq1ve$&sth0KltiZ+*82`>*J+mv~s62O3MAe z3qB)q7`T$Oi8ZTSD4U#E!hZ<=?HwzjKOa9YHPQCitEW4)7xy2yhj)uipi2T#ViH@r zA~WLdf0Diu-9FWuxY&DWHEV}qfb)|0>}ErXznR3vF1S<$%x=-g8aN*3!`Wc!qL?!H z=vaPzLe-+tJGvyh>DZe)AdGEk`&O@;lPDD|jY{FwdeO+#^%KJHzxV%ZMsFN`W%ViG z<&(=57%P?W*P`*#pbN$*mr8YyqTU=n8+a5Sux?LP$6DPd!@EMtSQdtg5?|T}DX+XT ziWvjLnpsjv>ohtHT_e!RVA8|(zoyXjt1vV~%C)pzifGxm5tT_V^4gs^ss&zZ=D%Wm zl<(f6DSKU5x_sR;8zQ~FYBD5_-YEpGBAQh%nZ_;@7R}TMK|R@d4{r&AW-2=JdOUiwGcnz14LJx!ajU6q;!RjdQQN3z5uX6Kkry5z*EOv`J6>TrS+ z{6$-hWR@)w8~HLz*Q-;6wzsi~X24$O9dsCaADD^MonKRvjudS5-moFsk```?3yjvcC=B56%Z-?-+3 z+yl&4P{;Cm>@9HHTm;M%LEs&YU6pbae zp09r1L%OHV=QIZx6UTqG=h~njH5KPx&rL1xY(UQ z6HqFLqBe%Pz2kgkUG|t|wj54ppNflOp~r`&s!-*L<&`D^`3;-lGU;gJlk7p%9>5yi z`B+=peJ%>h@X=Q^|fW`|twAsktPK!EB-z9m3WI>v3m?Cuak`~B6%b|K47q{9843M zppmZsfK`46V;t`Yqg@PA>wWoqQj#uU>I=rZpGYfBAFmRmpLx~LZO<2Yq}0*!id#}b z^{DQ4jVmpySnhfM9khF~CZaS%^!MA=l(uYGj@~Cue(S2ovmqX0nEoA%?VxdNwk8b! zkanU!*t;$BXWltDSi7=MGqBcf80b0OuhdxpUmoYqjwAMEpzt__Dx@5 zg=|Z>HkggkZ6F}EVb52urwq2&DB;9M=%234Fq$kFmTP+yl9aptdRZD zKP}Ykzd!1kA_M{kX(h+DxbDFlfig|phCO8MYn%tz;J9r=aY}d zCP~{}dDKK|L0C!IY(r?hiN(##yl?lSPpv-45#dfB;?F%=aqjq37_f|GY1aQ~?3-ge zYr1ut)11b%?e1yYwr$(CZQC|~ZQHgnt!dlV?f0JZ-F(UYl5>*%N3GhcQY)28_S(P)8 z-SXYsK&55)=xvEpi+cgEcgZH3PwU8|qh05&s}WSfH0&Mcb;}5^p5=q1L;euht{NUx zt1Te79&Mr;Z>Mbi8Pr2i$8~%Z(w`l3k8)K$J^b*rR}dHqJf{eFznt)ZElFuorkdlO zDOqnba62XTqSZm}OAknp14D_buG0xz%>(geCDi?xJU<%N2BVvZ7Pl>OsEqB3NO(b7 zDswI1&uVM-vCkk%G-L|tL@EBmI}Ok-`!O!fN~AdjAx=a}II40=@0Y04*l2xIwD9!v z*SNm1!f>!%-V1V}u`hGt--ZI}oaz*A=9%kA+X-5v99AJmi>s*y{gLrtjB*%^DvZ*u zj)}ezV8;kR%|$4ju1 zbDXC#_daac5bQ6YOde-`bF)yP5ite-G)NXjUNOn*c=}v>v&+6ZIm76g9NAt$Xkj8l z%mSa=?9FM@-Tu6rW-*xJ4yzRMcLnmB1xo%v>}DwCw^6!Euf3Bh&xGeZ%#w0tw_2B< z?spldwW)KD;s*=|g<#|YnVSsr(DgBC!S3cJZG(vJ()!9oGbbKzlXq14ZA{B7&(J=EKyBn+CBx{`f{u87kl3lhMo-~^9_ob?^2BsDh z4fP{2+TkB-lJf*lF?dv%Mbiac&3$d3EY0n4nZ^g~;r4l__(CLu<76uVVc~B7GY*;b z9g*smRpb-bCRd&@@v*3gH>sX<+Dv5N2DMz^1=W;S5gtl{PYYFPERG9C<+oj-k7arA ztCn%=iPW5fkO;&3IE|bg^i=k9+gf+TpJS1nbYh8;6khC!d*&sa^46l9^ z;=C^odJ$e9VdAu9%K~K{_1d;Ut7JzcXW0ZU{1NJyJnINO?gdafFSt3T-T=pP)`=P# zPCZ3cekx$Vr>>wyF_SRw519~W_HK(c3@jxCC+$AF?erZdLH zu8+=YZstM~pe*9@#%ZQ}?XNPNH=Lfjr8?{YIgvuE;o2Qz=+}mYR>R&Y{24q6F-M_1 zD*^W@9+4vQXv%EF8~ABymbg{c2c0gDx^Y-NTB4zsx=f|-)DLaRKz%&p6G5U;h=~pI z2mPYoa|X;?8APhef3QbML&P8*DnH4Hv}_6NbkKzIr?`WoPd`5EzOL5qMTW@4)-D^K-a zc@VH>tXMQtqLVIoRys=pvi{Pb$Ruzn=?eeyk{l(=jLyEicAOWBE$(D+XvZq zWcnXNwf*U`I;(4PXh3mH*9sG|^zQt;LFcc-MLimR0G^%}xu*fwq#D2CiwG7&c>+O* z=k+^MHl#8fNNwB}PqC9LT4_Vpka~ED@kY$w=Cr`AXUm3%c$DyB_kT$SH{^}tnd>3H zY(nuY5-_ft&>h2MieY=4_WgC6sCis&3UlYO(ZM`$%?+SA(F3boR~=7Qn6I1AvPh+;GTa= z-%9GX2$GyooDvI+zwze|(Q32Sf_FOCmI@N3D_AA*7w$09M07q@H1RqnL-!ISaIB-O zXYCLX_;d5yU3cYjFg|W3QY@e)oiw=eI$^jG(0#<;S6EsMPHaF$0;m22Q@&X*S^vqJg8%7oEoHAe9Lf_k&RhI?A%P|uJY-$1YeJ2&VM`JPx{&Tr*Sdz zY@k=pe()F1>5(;M1>}xASSDcyzY$qL^+iir-sj$7sG8T>0=)zf^2G z3e)}D>y&wwt(KW|>`4-^)0`}ozvl21wwb0U)19wbFDG6lytYGKFHG{GPY0D{YZW@f z&x*h7lByK8i#@#8x`EdeRgrVeq{BdChm-4jATPCiL&hVdF*(I!-{D_Y-xf630^Mh( z1=%6oWI*Bo15A+(ggr!dQiHdZ)IeESEv1fn3sBgdc7=~Ml2J*UBvt6Ar z;Y2=tF$Q6y?K>5)GL<+RL+dW%PgjM(l0GR_Z|@tur>%DW1>8_qHGegw6wu-0Ox<*$ z)Zd98m#2cy_Kx|)Iau>PX&(y*%ey$*^$qqvO&;U8Dki$8;rlg&rK9m0CkEC9ck!)X z3y6IB5E3UWY^)NliLDK=V@Tjmf7qV{pf!|xNA0Sz&?aP35td*!Oipbzz0_wx4JV9) zGpD9VWW`7^{`p%FMG;MDX`-2w7*WpS8$+#TWVu|linEqUO*~wb)J?GfPO>Lo;jZ}{-nuQ+ssK~;(pm+6*w{k z&Z`NdgAapOPkSBH*>V)*cAb3%6@B5|ZT|&Q*u*q6Ymvb?(7BkH^tWa{v0n`ND`t&v z6_3!}N1fhl-R2kNab71$KXMWpK-kI+pM^dWuxBhN*`>bZvh3YBg`Xvwr14g~g->h% ztBSX_Wq&FR*+Q9$XfKWq)4W**rE@@3Gf@F?tRNZB>Zv94R^IdaBF>XR$BvW>+8Lk}?3A}l9;KczZ9=s0#16?HU_2#HRzUrb zDcJS*RA@z0W%5u%N+3{$)kC2C(XF!i)M?G764Bd8vPeaykv>hCTR64vgLS`fSaJlJ z7!UWYs#_^1t2!8bJDwbg9;!}Bi_|KXi>-f{m2js7^d7vY$9;A&o<%6Nd3a&)w`p55 zK7!e_iw9Fjg!9XIq$rh0pk|DFIVc$s7KIn+%%U6R2_1zaqFL|WIBdRG4;RE({Gb%3 zrOx6w3c^iP_FC0qdL=A@ig~n4|K4xfEHOOba+!PS+O*W6-^|p!W-+RE#xOmd`;WB+ z498|MyX=2cHiz;Sw+N$+v|iiapOc+w$xZV%TIF410SloY>R$Jvt`sK;{AYnhqTy&Z z#fs<-Sb!p9>z|E+v=~>XJQ}uxdhE=ShqAg=9;`7JGlavool;$rT&Xk@#Q_PvU*@3# zRAkLGoRs^eJ$s$4%ThXYkrw!JrVWMckE2zb=dWV~>bI*G*uIuX84X&WhXXAgNH)u^ z*EXc7+kf{eYGZOMF@MM!OpSG`LaF77YH@vsZo`ONZ;}`nSvUHno&YN*ReEC-e`TI* zaSD07_o{ETGXb|`AF)E9jv4I%uP>9Hh^Dq1fcRxYB}IhPrl|&-bjr5^Re?`&kE{*u z_WSqZt`SNBCV|Uy1J6bo`+fo_U8H3?VS0?Sg~{=pnG~6F)GgA2RxIa_Xeh;&L|e1d z1#kWIp+mDOXEM7r3@<5#DWB{QUm*4M3djEt_h+I1PjP=nMy7v7`Wf&U=;;{$CH;Fb zF9SR4|GwY9A{3j_+Z$QSd>HB`4OD3XWCK0Aq7QvbTbbdj5iWPNAb<=xHar@@im%C4oY0lB)llS&ahp*1k&qo=J64+IU zqFybbNWUR0AQl-D7BDWq5lh1xH$o9*XVxIQ-Wrdn3YbweKDw11JV-|#F+sU(@So}6 z{aSjVai9o|zya03{4+qY5MgdyFO&#}SU{+aKw-eEdj2?cXvlg>Q~Eh!@GtcUpgS8# za)p(kU<~TAj?*}F51=my*~8#gW{@!Vf{gR#*u79Cg7}251VI^yF#K*m*tGQY@KX-S zdi%Y$txq%f@PlfBMCE{PLHT~rZ7}Fb-hrZN3>YZ+Z&HcT+1dr9i{VGZgOmk;&hb|R zIU_n?;N$T%fXXat`{BUvPY1eAfin3A?*f5Q?P|7yU#;;WxK5{wln(fCVXA`JdjpdW z0t0i7(@^~iG6P|vF+>&HgVbBhMdb@*W5PqGQ|0)Xm&O6a)Ho3Q3FgEzCQz$L60QaiNZf0-pkL z7Il97%4t^|x(L8xZq^{`xsZOJK;Pu|PYfzS}xE zzX#CiQi)#Say99v$A*01msAY%4{Svk8QCBqmkHy6sBs9#6|Hfs{i1jTe4`9y15r<( zLur#If`GeT9Ol@)soC}XK`me)3gF(+Cs0MwVL&Xl!!P~Gc2AB&uXz`|rw_giU#yb8 zB<_7xg%BOs99^2+d%x-y-tlA1aP`Ue{oZ{+wfbHHn}9LmX0NtYCqn;Q&!EM8SvNGQo! z4PU8*2s>c}Kj*f*Irpv+NHF}l+5md2s*Glu8>x#lWqZWSC;Q zzN#dpj0l^#*b}K*bT3WJ>m@||p?t%osEF;6ST(y%JGH^?(d?_KV4Hr~p1t*xuh2p@ zz4*@}R8!cTXZ)@OPk;uQVdc{&>(vvF84`;uOURq+YoqojAzJ+7n02UAGavzQvu?fq z8GTO80g%)^XK&@@X*f8^Sbz6`&pyDQ1#}{TXvE+pF^3Y>oufJm_{%y-s6bPGJY^=O zlU!sd!ZQ;m*3}V7W59s93A-9Doew;fH6Z$ZU)lPf3Q}yleki@U` z8fz7Ob(cvb(>mP4wh_dYUI5^A9_tE2cC2zB@y9z#wJ!5WOmKR%SZG_^UJ%SHschqn zX|B?_9>~gX<_c6_R@3t;&H20({wi}tK{k672O z>5I=*gzz_|Yge&gC{Bw)0Ztjjd^{rfRZs@w%8702UP1N4WK_)$x0vF31XFDK-X6q9H8~H#Loq<|#;(&Tt;`-Ft8U?=z$4?7 zUAFb_*OAp-`zn0>Nl4G#( zj{MHc;%>c@WtozM%xSUBAwU22KbfvHP8S;q7lvK|n&K;yD46jcEmYl@{c7ao>>{-d zpl#uYqA1&63X(5`9cNimz3 z+HomVHDT1Ayv$B%fbF+Rr4CUg5Pha-rQ2z(7AHGQjPTpv98cooYr;)9W8;m_3=I}R zn*@dV*MF8SiKsO?3)hs$WKQ?Tk<4lFbRXMwHTdaX)kkfNIO zTwzkJaX)e)$#ZQf{K~HBST(&qZhAmvB!h>KeYA40chqUaV|_W8Yjm?SVY{18UsmoT zs_MAqc+x9>hd5`6E%>;P7ag89ITNiwN@#(HGR5t;D`10`Af0oMQx^rQZ$=`W&c`ivnAA0_h;J9kj8RkHc7CRPVPf!*Q~nmXVxOH zX{BOrVI@G~>J>mAVM48rQQy9JOjnm)|B*K`@SKZbt%%jhV0xNjZ0n)&U87;V=^#YC z=2fbDnTULQG7JR2rDkdCVQ>@O&UTW|OUxa5yk<)HY13J^?=F>56_}^TWhVVlBg&&X z%y3DaDvF;RasyYhTtTa9yhXuVXu`usaUQ15%({ISO7iFwu8z!7haEG1SFfvxgEORVLda<}1f5)wA zm~`hecTRvdME+27suKBYt)pl;!nV=jrB>xAz_$7j8cQ)N;ZSPC`~j;CH4s()s3^<0 zx7HDYJw2mOA8mQUqHE7IQE=^$rDXgz|1^}9GqXISC@u;|Sy^ZZx?XO0G6r(Ei1OfY z#%BwwwNGdx^6+e--U;rxR7ryTexW`@*^?90;I!J-t(=a!G~j1UJ&YWW%h}-ASP`+X zWQ6jLzXa9<%*NQ(Oq9U|X2H`?JD#~$NQ=+O@j4w2;8eYJxk8`nAbohj+D6k@!de=6 z6jX!XnxB#qMK!6D-I-gyr-_J0U6I``aqh*eW~b#7URW|L zSVwd(;ewT#w!#F!p-43ExSoM}cIoeqUv-31TTw!D*9%z`ijGY zlz;P5GAx_sh1C&O0QctVj-eQyf6)>GJ`8?P4kv7`4-SVr-4t6kubLH$uFIjlWZe3$ z*jl%)7c7D9rETVMF)!X=Bxu1(T`}9ONRxbgS)A-5T6iQjHb`@O-#B0xtOR^n7mcUb zSXHlOWj-NaSG4ys&3vPyO-5|nNy(^0#V(4Ot99fdcI8|zixvte<7PI&7+>eFUoW_x zF96fpVl6B(A);zwBt;)94v3hnsh8Gsu8^2i8j+<`LG&5G(W}rhq%GE6#AXeymXrd0K``R zc>cO|>*p~J_yS^eUp)IyzXab-KEADi1vD4ezubO$e0m0U_J2tX`1FiS|B(WWfu4=w zf1L`f_>)cP1=H49aw^cXyfXi|29kMrl5SCNpK}|QVyPL2(R5Nji_v8ISuNVElvp@5 zP9Z|0IOR4OAQxdxJ}wFY8!9Vw`b2{QBzZdHU$V>scA?rR|;c z4-M|EMvusxD`!HzhO@hG{=t+1o-AS*7ZnA9s0ArIKwS7xs}`X5`-~Qhj2?Cu>=1Sr z8aD(4z8qne8fY^@xW#17%#Xhi@FF%iNVW6bcav*J8XOlLT2f3zChfOMR1mZs>a!CV zsg@$2Zo_a!ffEEAVlDcv!0+o2J78@7&e7l?e4sr-I$Tbopl|@th%lAo-SM#*1u{Xt z!C$#%a&RG{Rv^6@faB81<3#ENb}!y|Q@=a>lX%6I+18M6b6|pM-nC{U(iMfJ70L&F=8@Mj#vS@gHu)!GVC4$ zCfL5WNS)5iNfJmDge`=UPBjQV3Z+kiNE;XlW%RF58sv32p&mwmXgIGz7Fa|8FilE- zeQOV<$(EQC#}0uOc2I9Vq{J(Bwx9mzVm5j=dN^>VdC=prU&*sKhqv@-WN3c>>WtHY z*VG4B7i+6WO-99Y;?x{sB(S|nij>}Pkvd37vOpcvU*b%R5qN=;yF70f7tt5=+8l}0 zdltrA{w53akJG}bZse9oam`~IWqsPwdlj-!d!5;CI4Y>EXCJ5@ zUJH7VZ(NzJebE2DNnptFSYEbSH}Ss}XbP=lV=Ww6Zce8u5Q@2X-iK>lt1hGP`3Tfg zTWY-pSC%ez_l=-%f3SdIMsaTvv~jN60}pL}#B>!LJ6=D`hvi=J56^lf{c&eMP$QgF z6PJ@UG?QBy$u;7T+W`NtqJH9G(*e33m9y9uw~b4;#_l4VWA=-%4Mp$hk)gh-`OBlU zaWA%caC9qfI`L|ZQ#KmHv+Qf9@XD}ssyWOGhPC-!xXE%arZ%eJ4FF@Se6==e7=s6p z!|-+8*EW-Xcbk;I>)hGStpg3_D>U3UKpVN=ahCX4^DI#>UO6hOL!xBp*~;nj-hMi+ zJ$-G?DB3Ri0nV{ibLq8G@L+vEHLM*EbvFDiIq!s39s6T&#JsQdtN*3uD5yHTd)H?t z|7B~1U;X8g*~)Ti;7Qvfx16ioJaR?lj%#^~TD^JR){=LLScGIs!mjfx^N7+=aeHv% z?fA;V2CuyGt&O26vRT~J<_~IvevYqIvyA&X900DR675`AV;=^oD?0dz_8{BX)9CM6 z$M}87!KVcSXXdh59Wzl*FoU+v~IaWc{RE}KU#7svjHbd^R{0+W};24T(S1;H*wj= z7)ra(f61oc`)<|^BfH(1Ruybl%WjFw4UB8d=X-x8rNncTp4*%^uaB{c_S?CTo&D)F zW&X~znXK=@SUycJXm*mUIo;P2L+s~m)ul1Uc7xym`u-r>kC-4KN%vi#JcMThR3(^qxlf8*bsW4dBgX{m~ojFemibwP_xK02N9 z`NLvj)}iO7e=y+HwO3f$iF1xUL9kX|qOjq6F`XexF&!wKiigM8Xy^v!n~L<>vgz~jU5RJ5@0rX97Yg05(!!cU1H;&w_g1z)X{>BM8_3VV z#c7Dj`30EaW%RACl7ZQ7sq8y^Tn?x%{d)#6(JvhE8m2BT62F*(au4;mRr&f7{q}s< zJAL!V;_!BU0Dhd-z8#HrhnULr!IokpQ45o!U>xVcec@}@b~Rvr_(M{t6I7B&G!?A$ zHf9=A!8XE?XXIG|5UOarf!Qj?U3a2W%;oH&#3ST|m zwD&c-?p91V@+?%bF*ZQhEXC6PvN*WjsWcouRn7g;4xr9Bsd5Wlaep{^OH1ZvjU*dLuCzIVq5tQZ%Y)2i*nD9Ka0ta5!vni2Tx}~PgKE#x?x?D)7 z?oLARt*Hn)V($;OS*44p9b40ePYehtW=%6U>6pPw>6uCjRiHVmULj7Vr=3O$dV;=8 z!ID?+_@*Lk8HHgr;@D7&#T5@v1W=BQYtFxQtB znKC+kV!9U_Ymf;u4)dg0((`)j-o;{GD5Q2+NY3L~9qEpHHnr&#>NMxaN)3l_!R%M3 zaBzeAUF5blf?P?pHFsHzC|WjLiwo|a84iI%;qYL_#0pE!Z0Q`*98$F|a3`_6kQtzf z-25l+hvnbAA2|nGBWFWn2mIf5MkY$eYSi>JOmsB#Y~;|if)2*|PPX4~zNh~sn%mk4 z={p(Y{}$q4pktt;V_{&XXQ!uUW}&2GAfuxr`__}THTs`alpOT!?2L`@X+`v{9F3uA z<&=cgXhfW?tPJ#RZ2qxD$;{jl|NHqbo2c+rj2#@mx5j6rp=Y9JW@lhwre>gF`IoK# z*Ft{8S)UfzbadFeV^&1}zUMZ4IN}n)bVWRUm)a zO#8PcsAU_u)^1WG60m(1Fg&n(rxNDf-(c4S=z7R?1z^mdMG%wP zcH#*ZX8x81KfK$Jlmg@eVCL~Spvb3$(C-n}cenC_ug8%CTE(jg3P?bI{}r|>B6!<5 zC6<4Gk_!Q2g%UOZlTy$-1!0z;;2|iH$d3j>E5@0E14j}d(5FTz&I=$b7R3;+^EZN} zizLJ_M>vKfp(TyQm0qo+WmWErnV7KXheKU)cGj+ehUwu*uT8XQYSqqBrDRjDVymDr zIr#kRc#~4t55}0B7P4Y+I?w?nqF%shU$D&kB?Su|#i2_jYdd~d5e6TosjWI;*{av+ z{o3Z^qLJzhzJjg7Df@kM%$z(|eDO|hDfzc;KCO6RH=uqCKj zE-qaz#bRD5K4Wb;Z>s6CUm=YpqatQ3s$pA!QqG<{*RVGxzEU0q{#&!e-%3I_t+W;OH~coOQ*+CQYWajSPNSyhb-jf#gyLYrFkN60RoS7~T}f zhEld>q3gkv$9dH=GxuZB@71Y;(9DB_x4+h8q@D`i8QH32GmqOSpk0Z`NG=|4-7zgn z<)r5;w-pf~GT)@M4-O)jxenu2;L^O5J(7UOLS^WEa}boU$}5Mr_>y6e&enjXr${yu z7dFl6)4CD2oXqx`;mJR9~n({#hS1 ziOm#riO35%YbH&+b`B%bOc#bFJv9I2FL=d2RKH!Gsrwd$w&s2T)nNr znitm#7~}&vK+lh7m3DD!DP0sd8*KBZ(lEfuCVTr`_2%-%Zm`!j!uV7mdRfz21)+3E zsF%op4SGoaf@F?fMJx7G5kYL?*-@wKJgJnItfumqW7SE3C&|Ft)imQdWVvb#F#K>s z3eyN~^WZmumQeh8C{ihwsO?ozx)l8J^FeqVGGyObCqH|q9Ez;L9cwCzL>N|_d24>& z9-F_gRwnTl8{kNRbUPe8Otz^Z8huRfH6Q^SzmR|Egh{*xbcWImlCI~hhRmEn7!XJ$ zgrd$|Z7*H9A$;agp{g=Fy6PR*ivYiw7lU9ZpO=jo4q*F0nTa z!~W=v1EH$!ymEcbn zcnbfqcT5^O2ie}2URMft@sloa7o(sp_2N7*fz>J$(CY5?xE#1oEnvzyA==zvV8uzv zxzUHYZc{s7!fRw;eYy5{$txV$|p&i{zTk*J~w6f|D-M+Iz`t$)6`9a9}c$sINNstapK)g}j~4F}rb<#Nz8 zJ_{*=p`jm2OhRZ$Tv=N_T`6`z23$&6F6@r)v*G zTmehsZV2N1a%xYblx5LdMool}$L5DR^5~^Sl80gDl8UdAwbZR?=dA_y2~rs{tp+*_ zb=h+AnMJN=MCf4|Kj(fGA=c{#_!U{AGziLg0?hak7W3e(2ohf$ZNRd%csMW$28B$dgi-X;l4Mf%zYx11n(=^- ze=v!XBRR<|QldPFGpUQ-B)zU!i!F1Plr$QvslrX=Zp#!&y@2(&vUx&hvhHMAZhjZJG5SL#o_jo8GM`>z z{O6J6v~Yqr!$JINvpg8%0`g9r1#5zjatjk{r7$`#$)Het84)ZN$}B)utBq74bC|!r z_`P#okRgIBQ59y9?5903QPpg1jbBH|g(ATZC$A7Q;h z*LBYA7zcwux7K{&0-S#tfLsg$h(oFTnF!yrs|rg;bl?S~LmC)-fRdvIA@tRs(x7W0 zXSW{ne)Btfap~XF&l3`U6N;^P5+6W*v;rs8Q|lGPtrSq4Q)oq2zzT0SOR*OS>oo3Y z1j%w~qhlKSL zewPJ{gU}Z+F<~*5TC*G{3Tcf@4FNZ`g&cNS{UNPU!~>n?KrsifqTvbh31)}q)&%7= z9ec7`ud^Dua@7N+@cAQR4_95ah%fjkU!yu{qT^XOp2A=||goTwxxz3J~3={n!@4K#LitXgt zU!73B`G#MAjB=HkZynxy^FDw>mdo;EF^(K?5@gwd+|+~ zg%Lg0!z)dVW^nr*GG67duFH#q&FxLZhC4Yip`7oC zP)7zO1m@8ri3Ow)3Oa8chRnFm-3)@=`}*Cn$B?mvhkSDW7_`_Of?2;Vuj> zdvDW$s}{@=FCD{T5z@CN;8Wd*$S{Tw{63^wCE>=Sz9%?o{x@$A!HWaM$r# z(xo{+tG?l+3vV;$(cPMroqBis3Swp9B3L8Gq(#%vaSmm&kW9}<)iOzQx53e2&e>$8 z+M=pz%&n=VJE_8YcPpujSb76h)ZVQ&C1(C5<-(T5?<)|geg67>ZuQlIwEA#7#L_`% za52`XA8xAArEWdjrVUU{HwNdPr0x*iRwCKpXj^KIUE|@@lU*b5?9-_ya_QG;NJzfR zj3x1$nO=Jt!Qj;8Lpd+VSRr}qrCB?ur#Q3t?y|;vPRn9?cYFFFJXXEBMBQP+y5!K@ zs>h0F8o+OV&iKZlv?>F$d-8c@I^ru7oF4ru;3adaz~M#a4BoA*O?>+xhusj#)|1=C z^Z9i4J7&YmXD*B=>sjWn+YQPY*+wptOZPzkokdeXIwzLs9bD6{%iQqUN8kzsZC-Su zbtLdfk2>soX4OV8J61Er9(r|-a5cYPfX!i~rOL-sb5;X!oU%P{9I=0&)E%~*_&j~b+7QNJQKr~N_TK~)5;zo3Ld!Pb#kL__s^qB z(>M7FYp6j!s`VW)4ur>BPdC}t)bDmLVh*88=N2rqse;Mp$hfk)cs=enXR@NDZ=xG2 z$Xuqf3*Cyq-eBqANYI_ z20PuIsSI;+4I!2+wXdc~Eb!H2kePbtJ#^w7l$)&H8a`EX?cOR_w)~Piu-+`Pce&H_VFWB$f4q%K3gE zJ@6O1i9Ngco)NFt3$L;dwEcfVX#Sml;=f=CH3ef6Xj*X_BV#vwO*(vf7B+2YT19gY z<9~+Gw5s@;^!SYU^xu;Twzf{+lg!`9hQdE9Ol-fUe;}WKBq4lFE+$3>79nP4W=1+@ zHWpzaeqm-dMiv%2Ax1$FK@oO3b{_oyS><~lDPtQ`Co_B|_WzED;s1k{SUG*eH?$&F z-x!gQv7xPz@jqaTqtiE%WDV`Mjx)-os3R>%v84&G(0F)MODPWqJW>>ca?dVO3Qdhdc}=7qkE)%Q*q(7)^bq5kif`kn5zfOh5%*o(K5iuwOgzE&O6j zKnOk?2N34AzagI09d3ef{g_Vjp6@L8?hi6WzC^UFafm4ax8`D)EEoS}FuM}q#)p8% z*t|U$wzr>Inm|Wny}>g(e<^2QV6?_TQychJ=pcE4H*@)9iCWh|Jx2KPuvT;eKH2R) z*jxMBGVgYl(a|9THwyJ;;X^?5RzV5b^@zbPivs5a>{4giOLu&z&?|xWRC@!_c6O=4 z9JUKFuH6u&sQgRIA64JP;n?$TtA;GvC~P^X56YKtVp%tj}1r*Gzxp~`4))Hw1VSj|dBF)?bli5kv-uPtLnsK00|4Z%Yr0?M5 W=J0)s=^5D=SQw#6NQ7lYp#KlfUh*6O literal 0 HcmV?d00001 diff --git a/sose2020/la/uebungen/la9.tex b/sose2020/la/uebungen/la9.tex new file mode 100644 index 0000000..f075522 --- /dev/null +++ b/sose2020/la/uebungen/la9.tex @@ -0,0 +1,239 @@ +\documentclass[uebung]{../../../lecture} + +\title{Lineare Algebra II: Übungsblatt 9} +\author{Miriam Philipp, Dominik Daniel, Christian Merten} + +\usepackage[]{gauss} + +\begin{document} + +\punkte[32] + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Beh.: $\sqrt{2} $ ist EW von $A$ und $\sqrt{3}$ ist EW von $B$. + \begin{proof} + Es ist $\chi_{A}^{\text{char}} = t^2 - 2$. Damit folgt + $\chi_{A}^{\text{char}} (\sqrt{2} ) = 0$. + + Weiter ist $\chi_{B}^{\text{char}} = t^2 - 3$. Damit folgt + $\chi_{B}^{\text{char}} (\sqrt{3}) = 0$. + \end{proof} + \item Beh.: + \[ + C = \begin{pmatrix} 0 & 3 & 2 & 0 \\ + 1 & 0 & 0 & 2 \\ + 1 & 0 & 0 & 3 \\ + 0 & 1 & 1 & 0\end{pmatrix} + .\] + \begin{proof} + Es ist mit Kroneckerprodukt + \begin{salign*} + A \otimes E_2 &= \begin{pmatrix} 0 & 2 \\ 1 & 0 \end{pmatrix} + \otimes \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} + = \begin{pmatrix} 0 & \begin{matrix} 2 & 0 \\ 0 & 2 \end{matrix} \\ \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} & 0 \end{pmatrix} \\ + E_2 \otimes B &= \begin{pmatrix} + \begin{matrix} 0 & 3 \\ 1 & 0 \end{matrix} & 0 \\ + 0 & \begin{matrix} 0 & 3 \\ 1 & 0 \end{matrix} + \end{pmatrix} + .\end{salign*} + Mit $C = A \otimes E_2 + E_2 \otimes B$ folgt die Behauptung. + \end{proof} + \item Beh.: $\chi_{C}^{\text{char}} = t ^{4} -10t^2 + 1$ und + $\chi_{C}^{\text{char}} (\sqrt{2} + \sqrt{3}) = 0$. + \begin{proof} + \begin{align*} + \chi_{C}^{\text{char}} = \text{det}(tE_4 - C) + = \begin{gmatrix}[v] + t & -3 & -2 & 0 \\ + -1 & t & 0 & -2 \\ + -1 & 0 & t & -3 \\ + 0 & -1 & -1 & t + \rowops + \add[-1]{1}{2} + \add[t]{1}{0} + \end{gmatrix} + = + \begin{gmatrix}[v] 0 & -3+t^2 & -2 & -2t \\ + -1 & t & 0 & -2 \\ + 0 & -t & t & -1 \\ + 0 & -1 & -1 & t + \end{gmatrix} \\ + = \begin{gmatrix}[v] + -3 + 3t^2 & -2 -2t^2 & -2t \\ + 0 & 0 & -1 \\ + -1-t^2 & -1+t^2 & t + \colops + \add[t]{2}{1} + \add[-t]{2}{0} + \end{gmatrix} + = + \begin{gmatrix}[v] + -3 + 3t^2 & -2-2t^2 \\ + -1-t^2 & -1+t^2 + \end{gmatrix} + = 1 - 10t^2 + t ^{4} + .\end{align*} + Betrachte $F(A) \in \text{End}_\R(\R^2)$ und $F(B) \in \text{End}_\R(\R^2)$. Dann + ist $\sqrt{2}$ EW von $F(A)$ und $\sqrt{3} $ EW von $F(B)$. Damit folgt mit 31(c): + $\sqrt{2} + \sqrt{3} $ EW von $F(A) \otimes \text{id} + \text{id} \otimes F(B) \in \text{End}_\R(\R^2 \otimes_R \R^2)$. + Es gilt $F(A) \otimes \text{id} + \text{id} \otimes F(B) = F(C)$. Damit folgt + $\chi_{C}^{\text{char}}(\sqrt{2} + \sqrt{3}) = \chi_{F(C)}^{\text{char}}(\sqrt{2} +\sqrt{3}) = 0 $. + \end{proof} + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Seien $f_1, \ldots, f_n \in V^{*}$. Beh.: Es ex. eine eindeutige lineare + Abb. $\varphi_{f_1, \ldots, f_n}\colon V^{\otimes n} \to K$ mit + \[ + \varphi_{f_1, \ldots, f_n}(x_1 \otimes \ldots \otimes x_n) + = f(x_1) \cdot \ldots \cdot f_n(x_n) \qquad \forall x_1, \ldots, x_n \in V + .\] + \begin{proof} + Definiere $\mu\colon V^{n} \to K$, + $(x_1, \ldots, x_n) \mapsto f_1(x_1) \cdot \ldots \cdot f_n(x_n)$. $\mu$ ist $n$-fach + multilinear, da $f_1, \ldots, f_n$ linear und $\mu$ Produkt von linearen Abbildungen. Die + Behauptung folgt mit (UM) angewendet auf $\mu$. + \end{proof} + \item Beh.: Es gibt eine eindeutige lineare Abbildung $\Phi_n \colon (V^{*})^{\otimes n} \to (V^{\otimes n})^{*}$ mit + \[ + \Phi_n(f_1 \otimes \ldots \otimes f_n) = \varphi_{f_1, \ldots, f_n} \qquad \forall f_1, \ldots, f_n \in V^{*} + .\] + \begin{proof} + Definiere $\mu\colon (V^{*})^{n} \to (V^{\otimes n})^{*}$, $(f_1, \ldots, f_n) \mapsto \varphi_{f_1, \ldots, f_n}$. $\mu$ multilinear, denn $\forall x_1, \ldots, x_n \in V$ gilt + \begin{align*} + \mu(f_1 + \lambda g_1, f_2, \ldots, f_n)(x_1 \otimes \ldots \otimes x_n) &= \varphi_{(f_1 + \lambda g_1),f_2, \ldots, f_n}(x_1 \otimes \ldots \otimes x_n) \\ + &= (f_1 + \lambda g_1)(x_1) \cdot f_2(x_2) \cdot \ldots \cdot f_n(x_n) \\ + &= f_1(x_1) \cdot \ldots \cdot f_n(x_n) + \lambda g_1(x_1) \cdot f_2(x_2) \cdot \ldots \cdot f_n(x_n) \\ + &= \varphi_{f_1, \ldots, f_n}(x_1 \otimes \ldots \otimes x_n) + + \lambda \varphi_{g_1, f_2, \ldots, f_n}(x_1 \otimes \ldots \otimes x_n) \\ + &= \mu(f_1, \ldots, f_n) + \lambda \mu(g_1, f_2, \ldots, f_n) + .\end{align*} + Damit stimmt $\mu(f_1 + \lambda g_2, f_2, \ldots, f_n)$ mit $\mu(f_1, \ldots, f_n) + \lambda \mu(g_1, f_2, \ldots, f_n)$ auf den Erzeugern von $V^{\otimes n}$ überein, d.h. auf ganz $V^{\otimes n}$, also folgt + \[ + \mu(f_1 + \lambda g_2, f_2, \ldots, f_n) = \mu(f_1, \ldots, f_n) + \lambda \mu(g_1, f_2, \ldots, f_n) + .\] Analog für die anderen Argumente. + + Die Behauptung folgt jetzt wieder mit (UM) angewendet auf $\mu$. + \end{proof} + \item Beh.: Für $n = 2$ und $V$ e.d. ist $\Phi_2$ ein Iso. + \begin{proof} + Da $V$ e.d. folgt $\text{dim } V = \text{dim } V^{*}$. Sei $k = \text{dim } V = \text{dim } V^{*}$. Dann gilt nach VL: + \[ + V \otimes_K V \stackrel{\sim }{=} K^{k} \otimes_K K^{k} \stackrel{\sim }{=} V^{*} \otimes_K V^{*} + .\] Damit g.z.z., dass $\Phi_2$ injektiv ist. Sei $(v_i)_{i \in I}$ Basis von $V$ und + $(v_i^{*})_{i \in I}$ die dazu duale Basis von $V^{*}$. Dann ist nach VL + $(v_i^{*} \otimes v_j^{*})_{(i,j) \in I^2}$ Basis von $V^{*} \otimes_K V^{*}$. Sei + nun $f \in V^{*} \otimes V^{*}$ mit $\Phi_2(f) = 0$. Dann gilt + \begin{salign*} + \Phi_2(f) &= \Phi_2 \left[ \sum_{(i,j) \in I^2} \alpha_{ij} (v_i^{*} \otimes v_j^{*}) \right] \\ + &= \sum_{(i,j) \in I^2} \alpha_{ij} \Phi_2(v_i^{*} \otimes v_j^{*}) \\ + &= \sum_{(i,j) \in I^2} \alpha_{ij} \varphi_{v_i^{*}, v_{j}^{*}} + \intertext{Damit folgt $\forall x, y \in V$} + 0 &= \sum_{(i,j) \in I^2} \alpha_{ij} v_{i}^{*}(x) \cdot v_j^{*}(y) + .\end{salign*} + Sei nun $(k,l) \in I^2$ beliebig. Dann setze $x\coloneqq v_k$, $y\coloneqq v_l$. Damit folgt + \begin{align*} + \sum_{(i,j) \in I^2} \alpha_{ij} v_i^{*}(v_k) v_j^{*}(v_l) + = \sum_{(i,j) \in I^2} \alpha_{ij} \delta_{ik} \delta_{jl} + = \alpha_{kl} = 0 + .\end{align*} + Also $\alpha_{kl} = 0$ $\forall (k,l) \in I^2$. Damit ist $f= 0$ und $\Phi_2$ injektiv. + \end{proof} + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Seien $m \in \N$ und $(x_1, \ldots, x_m)$ ES. von $M$. Beh.: Für $n \in \N$ mit $n \le m$ + ist die Familie + \[ + (x_{i_1} \land \cdots \land x_{i_n})_{1 \le i_1 < \ldots < i_n \le m} + \] ein ES. von $\bigwedge^{n} M$. + \begin{proof} + Da $\bigwedge^{n} M$ von Elementen der Form $y_1 \land \ldots \land y_n$ erzeugt + wird für $y_1, \ldots, y_n \in M$, g.z.z., dass diese Elemente von der angegebenen Familie + erzeugt werden. Dazu seien $y_1, \ldots, y_n \in M$ beliebig. Da $(x_1, \ldots, x_n)$ ES + von $M$, ex. $(\alpha_{ij})_{i,j=1}^{n,m}$ s.d. $\forall i = 1, \ldots, n$ + \[ + y_i = \sum_{j=1}^{m} \alpha_{ij}x_j + .\] Damit folgt + \begin{salign*} + y_1 \land \ldots \land y_n &= \sum_{j=1}^{m} \alpha_{1j}x_j \land \ldots \land \sum_{j=1}^{m} \alpha_{nj} x_j \\ + &= \alpha_{11}x_1 \land \ldots \land \alpha_{n1}x_1 + + \alpha_{12}x_2 \land \alpha_{21}x_1 \land \ldots \land \alpha_{n1} x_1 + + \ldots + \alpha_{1m}x_m \land \ldots \land \alpha_{nm} x_m + .\end{salign*} + Streichen der Nullterme (Summanden mit gleichen Faktoren im Sinne von $\land$) + und Sortierung der $x_j$ innerhalb der Summanden durch mehrfache Anwendung der + Antisymmetrie zeigt die Behauptung. + \end{proof} + \item Sei nun $R = \Z[\sqrt{-5}]$ und $I = (2, 1 + \sqrt{-5}) \subseteq R$. Beh.: $\bigwedge^2I = 0$. + \begin{proof} + Da $\{2, 1 + \sqrt{-5} \} $ ES von $I$ als $R$-Modul ist, folgt mit (a), + dass $2 \wedge (1 + \sqrt{-5}) $ bereits $I$ erzeugt. Es genügt also z.z., dass + $2 \wedge (1 + \sqrt{-5}) = 0$ in $\bigwedge^2I$. Es gilt + \begin{align*} + 3 \cdot (2 \wedge (1 + \sqrt{-5}) ) &= 6 \wedge (1 + \sqrt{-5}) + = (1 - \sqrt{-5})\left[ (1 + \sqrt{-5}) \wedge (1 + \sqrt{-5}) \right] = 0 \\ + 2 \cdot (2 \wedge ( 1 + \sqrt{-5})) &= (1+\sqrt{-5})\cdot (2 \wedge 2) = 0 + \intertext{Damit folgt} + 2 \wedge (1 + \sqrt{-5} ) &= 3 \cdot (2 \wedge 1 + \sqrt{-5}) - 2 \cdot (2 \wedge 1 + \sqrt{-5}) = 0 + .\end{align*} + \end{proof} + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Beh.: Es gibt einen eindeutigen $R$-Mod.hom. $f\colon \bigwedge^2 M \to M \otimes_R M$ mit + \[ + f(a \wedge b) = a \otimes b - b \otimes a + .\] + \begin{proof} + Definiere $\varphi\colon M^2 \to M \otimes_R M$, $(a,b) \mapsto a \otimes b - b \otimes a$. + $\varphi$ ist alternierend, denn: + \begin{itemize} + \item $\varphi$ bilinear: + \begin{align*} + \varphi(a + \lambda b, c) &= (a + \lambda b) \otimes c - c \otimes (a + \lambda b) \\ + &= a \otimes c + \lambda (b \otimes c) + - c \otimes a - \lambda (c \otimes b) \\ + &= a \otimes c - c \otimes a + + \lambda (b \otimes c - c \otimes b) \\ + &= \varphi(a,c) + \lambda(b,c) + .\end{align*} + Analog für zweites Argument. + \item $\varphi(a,a) = a \otimes a - a \otimes a = 0$ $\forall a \in M$. + \end{itemize} + Damit folgt die Behauptung mit (UA) angewendet auf $\varphi$. + \end{proof} + \item Beh.: Sei $M$ endlich erzeugt und frei. Dann ist die Abbildung $f$ aus (a) injektiv. + \begin{proof} + Sei $(x_1, \ldots, x_m)$ Basis von $M$. Definiere $I \coloneqq \{1, \ldots, m\}$. Dann + ist nach VL $(x_i \otimes x_j)_{(i,j) \in I^2}$ Basis von $M \otimes_R M$. Sei + $x \in \bigwedge^2M$ mit $f(x) = 0$. Dann ex. mit 34(a) ein $(\alpha_{ij})_{i,j=1}^{m} \in R^{(I)}$ + mit $\alpha_{ij} = 0$ für $i \ge j$ und + \[ + x = \sum_{(i,j) \in I^2, j > i} \alpha_{ij} (x_i \wedge x_j) + .\] + Damit folgt + \begin{salign*} + 0 &= f(x) \\ + &= f\left( \sum_{(i,j) \in I^2, j >i} \alpha_{ij}(x_i \wedge x_j) \right) \\ + &= \sum_{(i,j) \in I^2, j > i} \alpha_{ij} f(x_i \wedge x_j) \\ + &= \sum_{(i,j) \in I^2,j > i} \alpha_{ij} (x_i \otimes x_j - x_j \otimes x_i) \\ + &\stackrel{x_i \otimes x_i - x_i \otimes x_i = 0}{=} \sum_{(i,j) \in I^2, j \ge i} \alpha_{ij} (x_i \otimes x_j - x_j \otimes x_i) \\ + \intertext{Setze $\alpha_{ji} \coloneqq - \alpha_{ij}$ für $j > i$. Damit folgt} + 0 &= \sum_{i,j \in I^2, j \ge i} \alpha_{ij} (x_i \otimes x_j) + \alpha_{ji} (x_j \otimes x_i) \\ + &= \sum_{(i,j) \in I^2} \alpha_{ij} (x_i \otimes x_j) + .\end{salign*} + Da $(x_i \otimes x_j)_{(i,j) \in I}$ Basis von $M \otimes_R M$, insbes. l.u., d.h. + $\alpha_{ij} = 0$ $\forall (i,j) \in I^2$. Also $x = 0$ und $f$ injektiv. + \end{proof} + \end{enumerate} +\end{aufgabe} + +\end{document}