From 8e5a863a2d9586e63faa276ad3dd846d56a8d0cc Mon Sep 17 00:00:00 2001 From: Luca Weidlich Date: Wed, 15 Jul 2026 07:59:41 +0200 Subject: [PATCH] =?UTF-8?q?Galton=20x=20Pascal=20=5F:=20L=C3=B6sung=20?= =?UTF-8?q?=C3=BCberarbeitet?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- material/ab1.tex | 4 +- material/ab1_Lös.pdf | Bin 0 -> 125765 bytes material/ab1_Lös.tex | 526 +++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 528 insertions(+), 2 deletions(-) create mode 100644 material/ab1_Lös.pdf create mode 100644 material/ab1_Lös.tex diff --git a/material/ab1.tex b/material/ab1.tex index dabb0e7..2c30593 100644 --- a/material/ab1.tex +++ b/material/ab1.tex @@ -419,8 +419,8 @@ % \fi %Beispiel einzeichnen: left left left - \draw[gray, thin] (0, 0) -- node[above left] {L} (-1,- 1) -- node[above left] {L} (-2,-2) -- node[above left] {L} (-3,-3); - \draw[gray, thin] (-2, -2) -- node[above right] {R} (-1,-3); + \draw[gray, thin] (0, 0) -- node[above left] {l} (-1,- 1) -- node[above left] {l} (-2,-2) -- node[above left] {l} (-3,-3); + \draw[gray, thin] (-2, -2) -- node[above right] {r} (-1,-3); } } \end{tikzpicture} diff --git a/material/ab1_Lös.pdf b/material/ab1_Lös.pdf new file mode 100644 index 0000000000000000000000000000000000000000..71cd7da6576fcb5d332e45d64b5d088587d3b921 GIT binary patch literal 125765 zcmb@t1y~(Rmo~bA;KAKD1PJc#?gV#tcXvX9TW}3da0~7Z!QI`1yW8F5oSE;;d~@f2 zp8wu{_HLt;q`Tf)O(riQM$1UY3P(0P(>dKcKi<;^#{y&k+8J8H@$dlYm4Ni( zcFJ}@dJ!OnlZlbDg`F)OBPEcJ56;Ba_)UoYZ(#~;W_C8vpIw`QfkFIjXYjVOe%m>} z?d;xmwr@La1{TntfkFMB7xHfxe^i{_&W!%^(wY+PKl0-EpMhxsIYBoRf%IY)&On`i zU}I$dhk}@ewX=yMNXXj2*+j&|$j;aVNH1ezYvybYWMN=o1L*<(+Tfg=9Zd{u;M^By z@CTw+*e+J}vX_s#jU+JDI;ODQ@S%Sh06w&lalS_-1?wY_F-5$5RO;11CsSBK=mA^y zJxvHRwkZ{j52J6V^SMzY-Tcod@v{w zlRM>M!u$EjmNb|?5lX6UrQ?vSeWakT9`a3W0v{;V%Ep95wc|!WF>u zb~+7M2&*{}PW>>*H>B=w+85I6*nRe4K;1N8$oZ!RAMy>dpBb~j1XNczp?L#YwOh*1 zvL0$T%`N2+TH+UrZ5c|8VZ_(4RZ^CzZsBLrCSZ}KIHm)%3#Lt8cPp{^>r++My-)Q! zycT$Fi7iYL1|5T0%5Tz-`+1r#UmEmY9_RF4UZ(gVyJKF-l-nqN2vP^9(Lb>SP$E+d z%k8r>Ac+l$lA!z=GGtk7+G%@Fg}qlxV{2~E9Q0fc4n%m2b;!6lg3BnJgUU9yLZ*;&8h)7 zn<>nwt)7OfU*-&v7JnvuM(y2Jn46>yx==JfaM&Hx0B0E{lUS!ml>5fxim+l(v&C4M z;hJVTS}aQaqlSzbUDEq%&i8en5!Z09=8|VSBn7K-IU=sG9~m`A-0g#0>IAdv>aJda z&ja0kLZ2GuDOzht#ODaU9kpBb7Op+?fY*-&$Zba)f%XUl2NZN{%?*3t9xs(FOrc$^ zD*L|4vmpXl!093LcMRGNI;=TJtcIjYLbtft>Lg{!&Mj=*x?bz?ljfYpd5|fymhLK9)9XhuqLsEy z(TfJ6ipI;1%D4$_p-?Isk#?sSlI`gA=VA9ZOc78fu3_cE-peI@F@_ini&7+O9Do1~ z0mh|WHNtFM5vHcG6r~ZFg>}ZR2~fvBzKgCzeK1pC_jSg+JH0gtOmPg>isSj}LmQl- z3L9S4sn2JUvOO`?_5kK~e)z#fagq=fJsL}^+Y%*D^qm>DM6>E0BANe*^c@1(w~-zs zamvoGB0>xjKfKRo)}k!f2_Z_CCfl07_KFBsKzW~Yky+PnD`*;C3&tbYaTIw}0%$Pg zrbm-!dG;kDxTiNieewN;#cw|%mzR?)4xxoG(-V`RYy_oV$)HuC9jj zJ86Q1YNM2*I~|3Y#?eCE#Yw|^ap|{!IdiZxxRUG6eOfA$`mv%0Nx#W}EGIvlyZ4UB z-~*ieem<8^k*D#t$^#X+G?~chp@PMoF0ZBA;l%Iza@8D%qB_(BG3NyHuQdsU-wQ?1 z&{jf{;ZNqW6d(CKU`mK6xyz?9Q$vFbcDa|<<9>!UjLU3>)o>YYCP$f#F(CJaCCBs1L zgWChu5-#?ca2>{qjWcZ@&JqE!lQngJx)=YYn+MySgaQm#Kqk63 z;{n8S0Ea2P!+y13zWnio>)>5Fi^%KpsrIbs{#XqU8$t7us)2?9-Ik=Hszdn!-#!wk znZTg0i17?;NM8R4*Idy2c52WY80gWz%pVn)jL}j*5{8>OXWVof4SlhkyJ+0?SGv#=%4>3Q8IKKbU?8x#Gt~2}u5nEvmwYrJaXj+d1x+qZ zfkxwn``m8wSK)!9n+P~af@(*#>fiR&<&7xGpPW}KoNRDoE@sL;D0wHNVar%V^l9RT z`AObN3~8uQPzg^YSfXB!>uL}ft7x~En;gu{?CYj%Tv)aQ=KTa>Q;3J*>>Rh;hocXLATT=v_aKJM9*idApDt}RQ_CA0WP zfxlnTzSNx>7~#aGf!G%aguu*7V;k(EYmm91#IJ~eTEAMG@wy;lA|m?{rr!9u>$tN3 zQ9Gn__&99ekzaoD=Ekv+Qc~RfWn0WoY;3+U?8=Mk5ZalYj#;igsK|ZIk+i8F=S=EF z{fH}X^d!Km_C1tHt#cCtPx>a>!eVn#ZlZNTf`_(DGlgf_C@E14nypV*HaDJb?)Bs+ zG!#q4x^M$$ z<`zV~3ZmQ^b=46Xo8NmW#~UY_Ce5%#P#Rc65V_@m&>bLhf;R?pxanxsgn|fqiE@-> z0w>jiy%g~ik9NgIGeLS#zJcX6I(=+Gth)6Kz0nf(j=dM4i)LO|ZHTm51ao5|Lckte zmWBe)_~`V_nQqh6Bx6F(Wc9-hlU$9R3EydxZPYeS7BS@>OJOX8LWC_G0-fCV7!5e{jm1biwCd$ zW;7Ypua_cp!62?EazgNnQG(>#?s`rLWHr1Ohlq;-=E?;J_zG0C_Dr#1YQtm5iyPPM3)hf~osi>|jGhl(7I~bF)0RjM8W^Iineay?%nepFL~5EH0z8v$_w@+3 zTmMqgPflAUg7xBBcfI?*$|Ss`qnMGi=A%PSAhUWfuno4budVIb#Jp>T(Kr-h62%(3$!m@9Z1JYUFCRacnC%_wH)*vj_w?XU+5Q*pojq(snvWx4`SP zfA}IhlP_amW{ZE!M1DRupYM$z1GW0_Fxghg#}qbfF$0By9~mznP+Qi%IbHzO-Lr@i zhfi)cl2vBEHI)6-=&j20*UJ6e-n9{WmZ8xKcu=Ry^t2ipZ*8~}<#aP;gVmwJ(5=d3 z!Rt*?VDo;kW;e89#|g}Unsywt{RZ`6IVcgWc>TjKhX952N)fNQ_3c`g&yl%=W} z<9oZ2UFNp3G#=8GV~6!jyqpHpj$`W()Q*nS5@I+fytK8Y*e&e9lSK^&N->ujnZClF zQ|*Z2E}XtXG04o<4R{lgKHe$oh8%9$Dbu)d`c#C}aHidHYd9$*wvW+E9}wVR;)PBsWV^0#)xoaJI$?k?`mNH zo@P3_H8@#j6Z_caeKY8$ZrZZ3uN~%mb7|(3d5VEHFUJCcI1xN7nQxmUWGpWzk>>LZGpFN=BtO_K*fSmN6 z97_xuN=c!(Go)y8Kecyz(!!XrQjP0aU54&E8`R}OhM+?2&e0`}n0l7dutxa6?>U+v z8c{A6V@8a8&0z;+64Y~k%Lcsbf)NxMO=d1-px*ZnOOK_> zh_z!Uye9`&B^1jKP?X)hgEY&!C4dIIAf?ej`^5R9OL4>1nn?ppD{f)gqe6#2IbY1w z+0trEYaN!$eEhtvUCf%#OyA!KPQ z^vo&HhLbUmf0b_e8}B;3IJRLv>%=5)Z({9x8;^?mMq=G`v5UsOYTQ!#bQG!nshw1+ zAQ78qxI*AA&4tbJQI3kD*wj6_njw=iBTm(uzWF1cHvcmFOosI#96`Bs64IrtF7GA$O^ z7^l>liU+>K3tT&O(YoNuq^-asNmSatpmjSa(fMrR^K+-rq9%KLs$F92_tU)}v>zeE z8;S7u#QtyU;*B-<51vEW!yZHj$Qzh}_QH0y&L+0bPQX9>0f<*nG;y+XaWpakr7-=) zG{~A5TNnu0xdXL8*9<^bPF6Z5b~Ydf3nLu|Cy0XpS#kuK05ZQZ5FiVJwzhU4gUoN# zisC;Qia!Z&7_@+lZ-x|sjEsK{I{(3W{7L?=DE}A(Q8O-v&VNwLSlC(t>4oeZjZGZ2 z-mEa_&`Z!u(hF<7*~w4_96)vkW;#YDW*`#>3mqF16Of&em5za( z1E@nU2n7Cj*2mPs%*D}!&d9+2U*yj}O7I8o|4;Z>8Cd9;SUG{L40Nn)paUZ#9TPJX zkd1|om67d#MkncPVnfIFMo9e=(?1z35m3SZ=7-cZG(lBF$H2@9Wang|V+Ylyt&6qw zf8~tWKtB7A^89yQkel9gS=s0~SpQv>_5WIv@t@4r|4XLKAeN4e{oiwC{AV-%Z@P>O z40N2JR?No1394wue^+MuKWEIs$w8wDezeWX+JOdEqtiRJi-Se#}zS&`B2X)=Q&sjh+e>G=Nlc$$=v@=pN zdF$KsAR-q?uWaJ}Unx+K_`jU>zfqv<46Oen1$wL_9ZgX0xH?wBA??A)vWDbNBC=H# zf$f&7&fOm_z@CU~9;>dg+@49rml{nj7iYHEaUBW3JJ>M5C<#;1JD)I~8tR8{eR3Dy zYL7lWZSxtL?nNnROia3MUtzratUKRJB^20ZJDj z;xViN41>{*%e|p7x6_-aP-eKy=XUL-r~3<{q&2A@ z2-VuQ-bEI8m0<}8?`yNFTC=)!#YACQAE?4R{7*DQv_4gu+oYuU$05^Qg}+mfK_1va zxcQxOFV*fSG;t(^(yw!%_9@*3OTL@3-sKR#eLgZ}4Wr5kLgA#u)&agfJEAJi>bsKP zYR>iSmRX9!;Y;<=9coaTFr)9+tP`R? zw!aSXkuPChJ-D5+NFAMlCt1CpU)kHeHzi3q4SP|L>ReK?Xzn((f2~y1vow!T=;Q*4 ziudgFi$-~a&UaZ7p#5)6CqhE&qtVY_@a74!1@q4+_3dL}>&JNqg6P-X@K6QbIbkRF zNK8f7lYsqDD$?@BW(uPN_|JYza5FU6HV-%AAVw1o6=j1oz>%F2aykf+H#B<(S85XB z^y!Y!Bc5;eDYCALP4HrY+1` zvxRfA_jcW2rZ8@{@SoY~JHU2jwazbNM2zSVk&28lao$JN_I{EtYWk&5aUIvBUK8~m ze_G$rERi1^C!QGYApcEme zo7`ArJ(E|S5^^IJwpern+#+Vi%eXH z>z5Hc9rjr0>zr{zmfCH)0cImd&HS$|Ol9UhQwj9CDz!z4WE1fnmH}>}Urm<272-uC zvQr~>8dPvvs8H9{LxGx_{cMZc7aNZK2_L3$-*1*-yE}}8fcw#h zHwJyA`%0-bV3J1h%Z2(=q%R$OoOL5cJa2e_A6Sw|xF3m6UKhX5^X92CMj@ZhiEs0A z>*cITQY#LQGe>PcnNcXS2p5iZXe{UGXRr1eMQRLiY|A|aQDVif@kzfL85}7n;={>w z+XV=vQEha%e>ubFaa^DO77S+Dk$+mdo0XYK z5$q$rwB#l;qjb!2_dsmTmikd<#~_!{hQl^3Y}StKqJ(~{1pFfE>$`+i9k_%q=O^%oty&D6C^8v_4ki>;%f{g)C74OecK(={NJ~|#xZN+C z_`5ya2QjVp^Q*%5G!b3L<&dXfJQ3GA$p0yHN zKpZ`Z)k5Azgz9qJ$DpoI=j3u;c)mVu!7T_9f&zn_i&LKsVowh~ zH{Xqv#m*|F&=i>~feK?$8cN_}*tN~nH4oL0)9*Za$#Oi|Rc3$3SnMj7hHTJ0e{9kV zn3x)zWAz21SI^_U{F()&09&=$q5Iq%%oT&Lsjt~*vw}ol30jk*v#!u?dYUEydyaLI zaR0i_`~aSOEvQ9s<0dwLkK8Kn1=xnnNn6W{Jn|P3!T=QGK;zIpx5K6Jvg~q$3LkQG z6cYw`sYEHqr+1X&V5lVV9B7UGbf+~|%;5So9yFq|rJfWHl+{Oz)ISQ}p^7@Ov0<$u zOBrZCZN6UXA1S?9PtyG~|-gxAro`+|2XLE`zvw?8HIJlWgHQypgEx^R0`F)IhuPVhZ|XkTm^i5h?x3 zbfmw$7L^~n)v@w(EQ8nxO!?Z;aJmh=qU4Gqwh};ky>tS#UcW%)BpA1X&Be zYagmWf-c#ReyY2H^%)7<1-*%wFh6D=k1@y59JRAMniCss)|72~-_eGP->?Fa-%M{| zo@FceUV(@a91jd?jeG(vrKdc`V_0`Pr(U*7$p%=lqQU9Ss;&?#QPC2&ckX*kKi*&Z z=aC&$Um(4cCh1rDKGloT+9}56(~^1**2XPB#-fD2qz476W|l3Ti&wGAj;M~@St7lg;;Hydd*hIHTQAc|;KRJIX|0Uxom+W*ZZakT zq+b};$Gd~n*>=e0O;NLAbN!|FQaY^_kxQaBn3Uyer&uVXy23H3ewT(?B85rWa6#T` zux#W(ro00iWd#NoVkwW{GN{}V(?9ganK|*=HnQMEAw4M+hLMh-OAkgJ)m0ivd_dcYy34@ z1|iNin;~+iz_vyj7hhVQZ*tF%fBxp% z;UZLx*7>Y{nk59y^T2Sq?|7TT(LO_s5rH}8D%H&1*JPouFfJ*&twHxZfy^VP}PYIRGdCC^>xJWDj}y^{LM@9xX{o->A?+iERm zzjre_NeklP(vW!RnT!=ItriTezK5SWOVg$w>6LS7wPE7h^R&=yMIS^^aAWe7rZ}bH zH2cLu#y=J1@rlo*-^Q~QwTo84?-L(Zw-53WX;%{qF!Rmnv6P=!dA?6R@vqw0_P^ffn(mt326j;&+e|}L^_*1F7b%`(ZJ6{S3l7C zYzUILMLBxXPIJAy;dMFaf_qb>mwz3~N3dO_1C!4o+kErwmPU|y(%l-daD${a%})}F z3l_V-PuCf)l++hFEW&wKMRiyR+9K zG8fL%`~1#G!*?FK%CnevS;~f*4gRYjXfUv)=MX}u_1rsw?#(Z&z^Z#24Ni=@&%U>g z-^4l?UX|_}9rs;4Mo$0Gtqwl!<*W1>6*A7>{UlY z5Cgec_D2=FEVK5QMOAAisrYArk0;<6G}<(}vy)w+N?bkpJb!*J3oJGN@~k6~dU&Iz zj9jEs*$%sK9rmnrt=!D#qCMYUHb2ils2lR)^5IdgCWaRO0=@dNvglz_%vJgdsWyfd z60#!M7Y(SQxA@C8w9VG|wSD0ipNE|ow!cM@>8+{ab^iDA#KP*BvezfP1$RO~^wB3x zCXn=w<(stM%CEMQc>V7E$T@ir${MTK_FUSdxV76DxM)AwcI0ox6_9Si(@R~ddi9m< zwg%C0obJeTuCA=?DtekYcA+mZ^_78vuq~;puTnEfiTzqR6Eqt?**4GWz(RvEad+Fu*hxVygUF%7aJU?)*C$aWS`gnNH$ zq8Rb6E8vx-dq5^#a~ivFC8b_`ao*Rma5Y}7t<3FV2&0#`mRoVQP4N2w?zv3ms>rq% zMX|TH)sZmNt#c<2>Yqcq2nxqJf<>iMT@5W(!x3O}kvPJe+E!gOUp%kUt4&K+)i3qc zK|OR9)I*b<+Pic$87gcMr0M~K;kumaa2X~&dnOe*2X((xDu+!(d$97gyiKDxqnx%> zewlHG7i(k=I~LsAx;zIZpK5u`%1tdk6!|ulm5tq7Xp-xNJp>gt*ZC^VyB+U~-^|hC zB+ZVo80%_gGHusMwV|HTD%e^0(5*HHEkSGRB$HI5bv( znqc~O*AS?$N`pU%`9*{u6f_xWD`z_ORSLDCPO(b5DLf~JoZ#A{5>2H(6qzp1PVc=> zN$gL`X(B$TC>rZ^vBR$+f}9JaMC9IDIr-MgTz4u1)?~Chy57VLb&5F4o%=Al-p(z3 z=iKPkDbOm;wI36PD%m?gSY!}ix?LmQcVN}If?T^n02&V3y!z79FV#OCEdcjv3>-ZN zGpqn|p<>@aNlujfB`2 zzDDQv?;(1Na7h{YOPgP9?5Zxw_Hjoidd-(?itH|ro$doz{5}`_QftfCeA(sNXreti z89`G!{p;WDbx9hTRIkD=zl*nr>frJ@qp+M9ePqW&RI(|JMTfPy`GwsTs~-t6<>F!O zIEqVaSx0TTO0)K(&)n}h{DgD2;JPIAf~Au@-(PMA3Es}G#dd2_PGBMI;D9Wie6UZD zEAvu^r{T{A)xj|ALqUE@A3fbVhiZi%_qz18b*qy*=UAgxY6|J3o z6qy3&?C}qZ!ug&;y3_XvGb3%3>v?A{UrdAe8a|JbTbr~}9kGMC7zC!81Uhz>V+`gi z3XDb4>8P}SIb9Jv8q`0Mw2v0B0dYZ{j@bi`d-mkg1^F?^mC}~ZJnzmhlvaIYrH0ob~v%Y zuz_XlT6z5@{>11E>8qGZY?&PxVr_y2%~{fETcep~zu!nnyS7a-JkLaxU9!&1H+b2a zc-EPIyOTynvh&}&9KzTX)9wR&uWfC!3Hbawo3v~z3Cmosyp@6F+w=6riPtlJy2t2( zoH5?L)R12hd^Pe)r1a=INl{X-cMh!RvFm%=z2e7R#~xGJb^6F-N~wQ1R|B;kzEYsnlq=mTUD zTd$O0x12#2R2Yi*aehT^foj3{Odte9h)`VE)=VgdZc4OFdoXw&AfCJt>GFJmz%Ds6 z2Au`TqrX~JSnS^@yCe=>+!Zp(&{|xK?kirLGq_mvQ*9)sSkr&uPJM>YdIOAi>eutR zr*L0KL~2D3Y<++PH@c1gi~CYb6>Tz2PJ73-dcLZ?0F0FO67?L$S3w$unu#;O^LZ(x?0j)LxgnXg%uGfY*RinkTEL z7WFJ-rQdpWjG-@N1Edd0q?f<-6cJF)hrr0Ekk2CDiLXbW>d%UZ&m##_R2Ng4ZFE;* z%pfBpv0%i?x0V($tan>Wstg!})Rq>1{S|LmdLWe8?es%Ag7tWddUe-UM%D%J41m2W z`V|P=!0bD-IU+RVM~tj>ppB(5YA2rbW3$72_wFu2R|%Ql27FXE4quS}P95)y_;^J~ z5Bj2l$=4_OU)Fl%C>O#XY_7_P`Hd-9IZyhdi-*DeOu54!!%$Oq=^Wwi!r90j+Ov|s zJ_i^QUc=|0@ZlTqT@tyNr}Fzl7faBdgRwElzMFz~-NxT-Z=hbovSOeT@$R#b*s&;) z2EV%&lKFJ0+jZ_$CsS5v)>$D!whueM8G?DfZkb7YLKfbPvX<{ZQ$WOQ^(9X2K~cn%v1$tZh4G)r8S zAO4*iELnM$SP)Ru5YP~?As$ac_S9o2iXF>XaW0ZB0L*mMvmT5~LluJ^`ML=o?FjWD z&5zoB@L8(VFWr$qR|P@pP~*r~e6S$cFGu(C>n}=y#U+F8CUHs&NmgHR=0mJ%^}rCI z;^ZA(zzt2g;c?El7UB+r37Nyh$cb~al0_mw&S8Mdk!<0>RZp%wQjm6H=nfdn*$@8$ zi|L#Ft!#fdrQ7YU{6M>ylXoumu1u+|kZId2|2k|?3UzNgXB4hI*}R`?&Qi6nf$vz! zU_@Wi>`(&jJv0>rlLv#A;=)3uzC5yyhQN1K4FJz%Ro@q3*hCJ6+lBrw`#-+G&VlQ% z8!Hi4-t6GEt|C!<(3H{nE}e_SP!$l|wP83K;EL)-na0qV0U!$${EQ6WK!-!V+lC8K zbmmkr=#qaxO~+YBj5p$Q11fGb=ds=(j~7_&Hh0P^_G(XJ9d57kONnNRv_HmxHdLv^ z4<&t3*3r+@PFB+KOxzCh8-!S+2-L-=hGoOm&LR?x#q4xr z>nm>Xp47t5XlQ7j5WAFoMK?k>{ioomJF8H@_%aspfpLLBonsqs`i{aMO1qOAN!_%J z*=k;RYD$gj2R8orIoFnU@B`iTU^`mV|!*wzx=W zG{&Nk`F43L2n%2n<0f%qzvKLboj|>yv$-VYZYCjz#niKKz=@G{-aPYp+Z{2n< zr+Eg!ORbY^mP80&?4Q?YixC(g2jD z)do{;3fQ!?tv0CC8puFw)a0-snkydy(Yk@l{mM?3V@NOd9JwrbR%K!za4A!Naj0W{ zW5AX7h7_>(!&d4LsG0Dv1W*}hChO?n*#91Jgd`>lJWn;GhTClUen4)DctJvk2Ui<# z!{LNQ7|h-D{#|#pRgJDgB_FUdK_@_61K2Tlv%D?VoV=z)eLqSr=568M$LhAyW-x}8I{_tMz$;kTz^TfX{s0klof$OynQ;w zQjo_gYZkG%E%yOCov?W! zgehe&JxU^ls@!o0>bo`txv#36y^H-usR_d;S0KLWwjF#m9p9+p(@uz@4Z87IYlnY! zYE5O2hHf|B#8E0y;v?z}wlU+mzX^w(*6iBo-hFJj&lCMGK|5N>h4gZt9zErx0#iXNzxT>{%w>^E zkYplWU+Gy^@UO3fXRICC%Gva`yTgS$nwY|5f>*Suo#j7ZlhmXvNAa6}obmR{z}P-@ z#gkDlq|7bn!KQ!{bI(BGB~MRarip&n6{CkDC(@S9sn`OZqdcpn6GAna(>rsk1M9$0 zp{0IiCVxNwc{5bi&$W(=ct~0e)-Pc%Kv>d|u-mEq;Y|8tIFU45)uvGP0|m*KajiH} zksniGgiDs%@D96dtG(G{`dg|Ben*LV;ca(TT+YL8KRl0I6I5Oxqi9v2Cop+fIESk6 z5>t$?IJv?rDx2Vk)sqc9V6;RCuA!AZxOm3cVJn^Lx|?}wQvGB{+k0=9e7iOli?#{y zjy{@4d0FC(g%E3Tq4M}SQCi%*tw?EI>mS&3^^5x6V+_8+y}ml1yD4bD>{{_XLdx&H z=kaTM^1ih-Z@4;r1)DqM@B8;42GDx+zZUrZ$0&wBOMswd#D7IGFu$$(f>Qo3qZmL7 zg>UNr`Ud1r!rQW{77(;l`F8I=!xumc$NwFkx}2fqTRg(Q0vIH1{={9VSr~)9#b9M& z2GUEISeThR16kM@L4gex&Q9_sj>2{}_I9>!K@}YTW$Bh)#KhIY$V5?G2xL*#z{v{8 z`X6hh|H~I2j10`|3~x~bf3|;p@p1g!BEnc@p&uGbS->17AZ$W0Gz`T8MvS;HFl++3 z_6w{bQ2tB|Q7Tl#^!$pHE3sQ&XbWSmWNUbTCWpmGXD5j7z^dr;|lo!2i|Ofh`f6r&*RLl|Rt^ zi~geh0{8&}0PvA7QYI%Szp?(pLq^q20R|9=W=R_{tZFEL-Zr@~6nhTw3Hp%sZ__Gk0RUO>kzz(_4sq>->B2ubM#Yhgy+a0DG2ZZ?zkiSFf$PXB)T1{ER?qhPWe|Y~PYsRwC zQhJBM+71lh-zn)5E-NehN1das0XKy=pj0Gx^HUI#G(xzNH&fWG073e=V{}+iU zPz_kt;zEG%d=ak41_{#rl`UYi%O3#fSXYjcFH>C*f&EV<0AQRb6gmx5S^5;?w4fRZ z0oBA`S`0uCbPfz8xQBm81D+?$S)P32-@^a^?>|+kU*Yv(BmV^o-~cL44X=YFdzv9szs1!$ZrNFkZ#Yq=ys67Ka4H^ZH(|Qoyx+w!#~EH!+J^HjJ;11 z%k2bt;{W5;A+PRvx8dV;HfC0Vo59GBL1WAbxF-PpY!m?C@!k&K?pm~ zsl@}!$F-#TQ|wopEwlZVs z&U0PL=&_oP@~^2y&Oku_kmKy-Wpz8Qg(tcXF;9G46V|&EdN3+09d6mgI9WIj06C9g z=!v$z5TAzs!94mjwe{&jmcZj8F7vLJ9`UgM;K^(4@Nj7Iw!Iyv&ij7oq;p}2ZpnQ+ zZEYF3cCM9ydBSIk@(^I;5q#w-zG^@QnpH6FG@}Gyw zI&dCPz#7-_c)dQiUHx7{YPlc58>sImTtZK}9F>NYB~dwvdEU!tu4@^F1P8#xsAgy7 z$N9*4Dh9VzgofsydiVPcJvFbj-XB>M*U@yWO}kDF5BEH21;yGpbt6~>htoT;uS|1oMO+i47GzK<%v=z? z{vv|_RE~Cj(F%y4`jpnb74@Zdant8^MB6?4b^4`xY&P}rNNe@y{axeUkKUaa@h5h| zhs8NIlGF-slUy)sOUtboXu|p5n9bXwLU#LA>#2=(Ys>GPYh()xi-#UG9WwKs%vWvhwkK$pquf|*^|P+5HwbnVe< zBgXwy=1p&Y5?U-4-(6?CFD>s~79o1|eG>o6c_jA1%VQ%80N@G{XT~F}vcA5@H}?{7 z%}Xz?nwqmM%Ic#=vhm-hv20aJ9;(1f8wzs?d1vSn3*T@JvD7P2_ zmK8#qBe`@u5)(m=w0!`O8&;NarKilM{%E* zt6I0yVMwf+jMpbxEu&H1`mIP!wreZXzMY*P(cHE>^nME$%afB=Jw0Oe^BctoE1>5- z*u>CC*NxmKOIBm%g9Y5YJU`NOkL?(O%^x2Mp6QpJ*Ll$96Mnn$QBd%3UvAB9m=V>jW|YV2j9BX!`(=BkH!5&nO=L`D+`8YQ*xQD7lR4>uPNb>0EXYGYnF_l=WZqS26DY$ zm8MRivT4B&)3Dx=snct=tJN20(8JzUHFZSzx=A8bqEC!kc`2s-BK{?0v*822fk^4; zG7Y+O$DR~fBNx*y$wN;BK%a*PMKFavNl778Ys#4tZN;GUXTOD1QU<$+YWa8V+#Rtm z8{h!=R1)gguY^SjQq%7$=4o<(sfE^Kic;E?Sjriq<^cVpR1*03hBnj|29D30+ot8p z7qxvls>)CRCVNklXM^(rc52W|Pvj|&1jmOtf;}*R7)tR`X1cPhMxioARu5W^r4dvT zAt0!><(FZO)sRe;gqd2p#QY|7Sq_J^WLG7i1Nd|EC&^t2u-dRnbEYZcDWDn*@H`Oq z^l1&N2AWATUeFMrFWy5hs+uKEnmnV8g9-s4(2zn^`zfxfj~tp^^d5kp^P!1j7(IMi zRbL>~028d^LFW_VUgsI7LCE>(!^lL4ADAJ6dJQ?Z9$htJN9Fk7cXt|R8i<}<1FlOf z{y5qj24~e&S#2!;dG$i&O3#j9FnnJS;5(iqGm>$H zs)2|(Od{CD*B;8zCXmm?Ao@0!8VXa;aRf4+#FCQqkys;8Russ55g)*jxhzM~H9EjA zcbLi%1#IIX#ZiucKXdSCaS;3k67p3jA!8DhRYWnpLpj70h)@z@&I($ilxQ$xu&*FH+G3i>@#FKk zQDr5pnG%&%`q9&QCL3xq!g{rtWCQ=U1#`$3->i=?usoXUu+4XqBj`!2RdRlZq{D;D^wJ0yTM}BlK8v1 zsPrvbT{I_beQmxB=@13LaYzLX$mxR9OtGZrR>Bi~^d~O~r2T-tE)aqhqx$YKri7s# ze?E`g33-j0^nN_bMNK&}6rhndLFTle_|ubO$a5|UFVPR|9bD-% z@NZz{qDsElVaGgAPh}l#wqowDSZ-Nl!9T%`_02B@ZI<=#338nK7C3irS}HZL^_?5O z58*e*3mx7maq_|zELitxFJRe)DKm5w>Ts}q`f;Y^>f|jgZlgxg!w#m625eyH z$F;Fzyk380K58dy6A6Xqi-2`P5~!8zkwQekq<&MnOUaSoxp!<#Kb;LcR=260mxW~@ zVJJuUd~o1thR2HxGVL>LUXIrRh=I*Kxz<2%7K7KnB_&|{+yQdYupCFze633`grOa| z7vu1k6b8z(15^1r?6b2{gzD>i>MV4?6FHcToTb6n>r6VPrM}3{eP0D!MeI_TxE0lOG2hR!>C};=yiv7BcJ^;wR8_YLm&b29|U5@$~`E8#I9v z&<+YbAuH`^niiR-3~m5TwsOTz?NFC=qi;|`_HGRR(zueSBAo@BNcH8xlR&`&^q5SG zs5?kxeO~#B{Ap{bS^AtXODl3=)?Px zk2x|@4FcX1n2+Hh3d%ESJ%oWWo}{Y>_{V4}Og-`g3vMKg+XHCg2=Ym&H&MPNwOh_R z5bTDKQV}m{ELzT9r&Yc;abw{kWk-1HM(wDB@JI2IUMD=MH@6Ky!KyEVYf+%*JZ#o# z(vH$cy#ZRtLiEm^2-(v*j+) zx3Mt_*~|0!W0sH?k}RlK^__ArOBa;&pQQJ)XubA>iL=Qh!=c0=z|wucqq@B9)aHa? zb9mu#-&~{aG9mva3rjG9wNq;oQ3?5$`m?{ndG7*|K2V5wS1IdHt!SG^mzQ>PHur{R ze8yigFnn{oA+h^J*`bG}v@Hv6pYI7_9d+l-Ek^9p))8EQD?EB2eA5cJZw zebrjN4Zn*?(gcYRYmVFcA!8B2symw?I_!n}{gC~tMQ+0Ms2le}qgpcBenB)13VE6e z0&s5z#IO398m|0Yf#i)`+m{wN5BGMAZ0UN~?l#O{IO=XE$pORmJQJFqL}@owpg<2O zY>yu@c^=N5i+~dBiqlEy0KHyWE|)n2gpqV%v^=M=G)icRl;}~y)($YMf5Hq!LK(n! zxPQUwN<6u{XRLnI1MwYeE;Q}^EogrAFBqVkb^&TiN7p4@Mq zsk<=!v+=MDq)*`+h;Y&2AmJ&QP*C_ClG46F{=BMy(Ed=fx_NPsV)inLc#k4N)`+ z^v}0@4XcFA`3YH{pk9wX_DMDr`KkHYS9Uj2g8C zL@8O``aG(ArTu0{i9(Po_XLdX-MZyQp~wDZ7|cMIaRo0yFDSiND#48JqWqi0S@6+`R=LOiq|7Pl=Zs?Ui&NH}SD0`#fwj^2&sc6@Y(hfbTBhk|nxaB(G zFQo%^SvST#R2i466*8UpjG*i(l8bFbv=d_2{D|sQ-&AyZUDQIwWFE@wu-+>+HkaA) zu2IJLnFHV8>7X7GZPct+Ey`-iYBx)`&BA2hU+SdYFMEZr(@%$RnWr+6}ofl zi4ROlZ=4mLxh6|wZ{$_0aKc2xt17?b>$^eaZ}Ez^t?udzmvr}%idybsl)>13iF)2s z-k>-cRC*9*9wwz%0lcm4YFDwK6HEfxi;8#+E7@p6hFo%e7O1WDFp$M3TNQ)h0hwB!a7dVor zu{W?t&*CG8b`oDXG4$&8!92kyg7tk=>{i@Ws?#N)_omD8g|irKuo5}~G313XRqsaI z`h{EtUT9~X7A9n;==uQ&N~~;;#3)ZCCnr92px|Y^$^^Qm;qwDKYLgs{L;@26Ue7j! z?l*fyLiKz;$hCRFwY+LZd!eZZU(smb1~8S^BkJbsQ4M7IJ4?%=!s$rPQWA9I2f7g$ zb=nYMOJ1<5>6R~;)O}{~@>Dyf%~GHCsNbWK@YHRHfGaKwVp}H~$?!d2_HO1 zeS)(!dNwwU{^%w>)e;yY3W3ngAV}uSqL$R#<^}1umsg2A zNYk=!cHjpTiG+-vC3eRRASXPh!kuwq>DWgv*xNB8JS~>Iewf-L3=vo(((mPKq8EM6 zQzu=$cm=-!Y3Vj48jayF<(!Z4A2}bW(7L@YyLgc80T0A{OQdp>c_UW!N| z@zSs;Gj#OuX$)enq~xm->m^2}-X?nlK74yni-3}Co}8hE*&9n%Q%MFPTOC(VP3hr& z#r+kls4za4Q{a5LV9G2GmBm-WB1H~$AT%cRcHe${=ys*#3a4_YTa&6e4s?~1I385- zh=4LbUyBNrp{}jrog_sT^{skk!y^ba*2+w(?g?_Bqd4YCb)DtD-O!)3=z;Kbi~ST{ z;o$tHyQQgCVt#!+XUMK~9>TX}Pf2wUF409sKjRihv#7HSHJe6XIbklJd<~B&9ttaa zW->jFVYeNzbzNB1zz0K2(s2-11x|M~vHatQZ{cWOz%b?SPISI>>f{sBx2V1?0T)NY zG||6tG`r>H&cWCBc|5!&%y5pbgsLLovN`&wG2f_{Sj+=$*oY{6=Sg5hjr}_h((RRq=bb*aA3r|uCc5Cmr7mcY;RD?yNo6oG8GBEpq409o4U#f%Wm8J z^9;W={Yw(jfrQw3&*peGePJnC6fk3BN%$Cvgr#gP`62Yf#!(zYKJ zeTW}3itde62a+GurBGMrg!qQjHX2{2rMD^6?`{N5TTWD!4atAKUe)9pY&`4lIZd?* zqX|IP4)CG;q=stVN~Q9I&2h~O(HGi&tES6Uog@*dyxx44W?qrMh28VI%YrfjvaCu5 z&XAb;dFPeo;l}3Z)_`%1;Y5voZP!Gtbr@T7z(ewoIe2u|g`%P6OQd{Kgws zZBBDD`|QnG+HLyil2K$;U+pF`m_URJcYO0q;NEP#My}ly6^l3t-)*UEirHpQgC7`2 z5eQ9%d?{Ny-aWx)GzY^t{IoncH?(E@ibhS-LnHFpYyE3&!}*=P=Z`SY*}(=Pdy7bV z809g2p;ZoyzHq?Cdeo2JC^O7we5_#qy0t}P@ntd94mUPqCl1qLNh4AOHvVNIWL3SP zT*s*gv7fxjmt38x@UdqS2%$F)a~8929IrS@9`S#XP)->V^+7{x!m`l$+;M7zdr7%2 zF;}|BK@<8h7haY*RrYH~g1G0k@nVyXjk+PM(T0z+uWsn_iERI&>1WT+dK0h0dImy_ zKb7(9+8s7^=_r*rw&~2qT$XX+L$_fh9|U^mQHzmg=rz(eP!eOs1=~^&M29Ay|4d75Z+#f;#UMHeSK^<=X^zo{R32 zV2r_FQ)f2>=Va`LoD@g$aGKOS59U;AUQh3ZkWWqKTu-}o=tob&sJFJi;fx`trZyQ2 zZ=Ez{k3QuoCAcD6;9^9qn8>6@3`Tp%jn=BpWW9jO`frx=EK1R(Fx&YXr2k zLfA5GM}7@3ltk9EO(1HAvv?3JHNV>g$ z!aA?UtRTh;65wCbJ z@k%~=DE)iNQ)yI8CZiEDUJZI)N;rR&!(8)L3@lq{1r1=FH9kIh%B)WW!f;1JJjkwU z^+mFUR@RtqvRZ!(A23yv*=9z%8uK&-E&OxIvlNsn4paaE3o6^L(~>s0CW9pERx37hUuS=KTZ(hT zY!4PBVPqo9Q7~vjrbV)fR8?opoVKCVem| z<5}4psb8JJVTZ^R1BUo>_`9fCZBwF2`A+|MCx>lFyi2!`x<}L?bFB!nm_ct(?MgPF zcqAA_ko&CkhWzGho$m@uR@!s2Z6NUQdY!3u$+p81kNxO)W!L(0lw-*&@vQe^gyZH= zVCMQzGs{c0lO&FWpX(eQ&i3i<03j$VbRcDhfkDoAGX>t`E6VNhO{jI#b?*pH*RHku ziR0l3ZvFKtmKDv?w^z!`F26E(d@LGT0+9aK zEqe`D=;1-cMC>35*kSd;sqyjRFY?ofiF;%H5)t#HzK`b-6R(0L4j4wdQDLokkX)^{EScvM6J^e2q?Q0dLX>dU-fA(WGaG^jpiY$2q1ZD5rS zrJ@pm=t2iROt0oi&fp(`4;f8Fs`58MW3KAi1jCW=kmAuB)(oaS?lPRZ(vTuaTz6h` zcfYo9txNE)n@zj*=WlcIROC)~B6_4r%da6vSTUbbkC4!!5YlI7I9mD)q8T39mJX}6 z_liZmH3~ifd<4eUR0LADcC`X&_%+`3kRfv+`ppY5x^ny-s)6tTGSSOO7aV#n)WWHV zkq>FiNCBbHd($v^;Pv%3{nm6UU7slhb*C^4HyzTphV_?u*y-LP1EtGcm|042kHrDx=~tsE>+UJ>9~rw$RUyx{y!tk-^O+3Hp;`ZEkPtn4>TJ z3nSx!>PV{>$x@$@O7`-^(@Of2U&1a~DZL_1b~ab)wlq`Le%=Y{SAdoyF`{xUo4iW= z#x;6$ZM7IP+n%5aL6bFLb=ip;+((5jO|ngYGt*NpKs~>hIyV#7Z6^ZoDB`LX!=hEAlDJ$88Uur(H+mkd&{rtTm$tuLL& z1yf8osvIw$E7WJ)0$K2**7Qky=M;aTG`;wGepu|82xv6BJt%u{qO!E?X^UZ>pVc6^KM zFtpLy-f==fWE=&WrR{CmFx5Uq*`y6RyraCKp7bg zRP}Gce0zVsW1xSi+Y{X#{f$w&PO}fH-mi*p35(mT88G2of7E|TnaYkX7>cdqZln1L| zu&k?KDi2rN6}yXQLGNLbZZ!-CVGz)Y09;t-JtEqBAguGA?oTm;ArD0~%D{>Mo(?4T z8d#C{`3P|R1KTzj;P>0#e-}dw>V%-wxv`I@qvQqd$gAP~u&3?;5U%S_Lg|M1+q?pK z{!@&PD&5DRCraKZ_@MXR`WoISw72!Z_4pu_hxni$fB${VG2Y+4#Xpr#08V8)kmoD_qzr76M;W6M3@8PF@bu&Fzlv$E13uHQCI7v| zAK0!?=qsV40X4v@gx&}OC>MZ6w{+r%dAG z|3aE{o&&OERO~7dVf-Z?}V!U_F7sH9n0S+H! zIwl4X1LNNm**!V^w=ew%qW5o#S^q`xUR?CC zya*u=<%MjdzeS=-xHGW9@nkeywJ;dEWYNdiFq4LF5 z@_i$8PMntkmHRH*2&9(*_}K`Q@Zk1^Xk>`voaND38)g2Z^F*t1q*R&0ha*AF=T#uk zKwo75QwXNk24VL67OWL^fZt-%u>U*4hYV{av!rmbhJAf$x2wtrZVZo7PST2MWVSTH$N4nY4Ymdi<{eXr>NO*wbJ1SVU?p6i4<#;PiOA)BY2{?G zyn2ESms;`Hv6A`MuJUgevfMX_KP+Scv?A|Y?*DKh3-k9b<>x|{`xAG4k2*du6#QW! z%l+|>0qA@7{y!heng86w-*@-K3Et^_-Zgewf&c6oF)#t|_)qvDY{ZRK{$Rm3#w>fVvxsFA z`V*U$J4rfI^dpuqhWrjTMcLM`Y1NZ_HP}|z#9g$AZC-#KQuS(X*0a~vH-wpe$=@Qb z5b^ou8iIr(?Wl41B9OeqzPHpAyu=>oX-3^}HYuwt;g0H#>yEma!a89JaSBDsIi>K+ zrl#gw!(z2qY^?mSpu|fTcN*6*TTRf}Nz5fgpm2V*t!(s>j$+cnh(ybrM2k={NpbWM zgjqbNAR;0*4oEq0;2MQv1KKuZmbIQ<>2+qX`Zmc~WKdYF`Bb^A-4RY=)gg z)DgIN$hEU{Blg$3>Q`JWmKu##1E-E!U&Ou~**F$)N+RN6W8iF^jJSIod4;kwld`%= zC9w;Z(@AE9M21P{_3pBn!JU9@@HLCN%7v2SnPF7>xcRFIoy+aMJDG&+kGue{4*nq7 z%xC!)>>aP!^Xd$kEW&(rae*#5vEfJNM=4T6PMHV%s)8e-RBsTUJ~sc=ya80Rp(3J+P zGm*cj+~&qiSeY3SOO}f?OnJ%STzjI)c}#9mW@AO9*$bCwX|r%}vjqN?#N+JsA^7IH zDB~5Mn{^-co>KpH^-<-Gw4wG$eYmStocy!|_s~$#M-j?Tq5>C`8fkJWVry_73t$|X$tK@OBTOuZ$%S7K%`I&Dz2BzZ zyGR^v)6iME-Ns6fPE6+u+~;J7DjEt|F{QxF>C65GO@mYW5Ye@=f6*z z?`Q8TjWAkBpH=r7@`Uj#hsV}b!HC{w$Wl(dN^;N}r(mj^1qhpQT-(Vh{6Y~(* z>(_EdcwA!g5o65NXy0{ZgkkS1w1WxB`Ey&DQWT^8Ra-Jk_+`ztkyX`MLvE*@ z39mHxLF1R!%1WP8O^t?JGc}VYw$88@Fm`&Z;9nN14w$QtH*iNyWxa}RUdS)uHfM0p zd(LONCLtF^_la(hApEm6v+Neaq{liZq-}cEwoSo`NkF}c_)U9v^avIdH=DM_J9Ls2#;E&5mm!9Gx z@#}M-TO1_zYPDX%Z@TLa_Zpav+@RjZ(^zJ7=qBd&(|msF<^_4Q7Uytt(iBTI*o!z{ z&G@Vt5~cQw&C|U3a%7F|tS5_H(}cb)K^$);a&w}1pEEHjDl*v;huYdaDQXQUL8<07 z3w1a4TCkk8b(gpe_B4`f7^NPJpC*~(hlkoeJ6ti-_Ze6+*ecPwy(}}!-N!E-kYq(5 zm0&vjq+ly~w(~O38GDxC7~;8?&Z}2q#@4ktnxCy#BCHofP|Kmk4aUF7CafnIsru%Y zWkwBf8cEj;a--LM*&1G7vkmvy&3_>eks2HOI+kz(SE7)tkg8zK=A(rv49pbnIvmaz zF{LV`?2|EVvwm4+M8XdouSjw_C^iR+G2F;SoS!_89Q)ATJ^}xw*18#sB6E;mn;GFd%H4`bQM+U$WP!e zy3g>>XWYEx;GwDd!Qp*w)==7D&dN@~5@gHqVBmy(FpQYQU1o#y;bOXgE#TtDBYM zmO?z$YiB#wPg~hN!Vw!~IJk)LqA<^_a31x=Jj{c8jQJG{<6UatZ5D<$=d$im$O&2B z8@ZIR+bT)r#>IEmTS>-O{+Hv^v)%7RW42|VLaEPpBfVU2jn?$Gje6yMg{unaTAvm9 z^tjqUE%`CMT-=IyO*d3A0a@LjX+$UTIcH#}Vy(h%yt2|2_M0Z1$LCvb4>l`OP|>*wvIu(NnMD^_OUW-sS9UR^r9b0u22 zd2NduQRvz?Vc=QO4Vm)kQfm5^@iU-fOYm&%>psF2N04w>nH)zkJTy~48G+wp;6MB* z_fwvR7~Ge_WX}?Fv82>cOJ!?B-7qV{&#z1dtoafpo~Vlic8P>Yb|clms1~}cST;bv zc6%Q_(6Jn?wv7-F@YX>W7IXOFQ1~qe<4|j}v0Ps@%u)HXVy|9R6F*UM$;8;>kd8EL zc^CF{$QMsUt;#<-;N{saDSfhfnMna~j!w;-%U2$fyo7QY61(PjYsi(yQ*&lB^mMU$ zYnI2UFx%W!J&DbvcF?jjWKXtubP^_U|Dep_F_&Llpya1sBfjU&k(w>-$Ms{T(rAWA zM%4oB$?0CAUkyHI>*9(Yc#aGhHwBkHE?pDdRN?|nb|R_BuAf8pom#Sze~}GQdi2%N zSeJe{3U%AQk_tN=qNMR7%I8?VMR1qXN_7pb^tm(|N-+U;IO~oIeC$_ThAvJlN*y4o zEf@)zzL7)@r$r2Is7hobC|}G&Ft)__fboi<3m>YR(0H#lDo}#1Ki+BEB>%xEK{lOw zg5@v;1x5?ZM5&#%*AgtUWL&tid?aPQa|S3Uh_5~9w(2>6DJqG-z}Cxy#%)J7RaY2D z$G_cHq)Ypfmi&BNSWJ4k)u&9OabCb|$G8`M^WdUmpcJ)P!+L)Ovg6VGnH%4FvVizt87 zQ#Thujr#P#_?>W9ky!yUiGj8JuLNA7q?w=YhMnj|Mx<<~Tyt zw)NKB@J)7eB9QuC&R%z$%dY6|jxCDA?X=BDH0wSa5)>2S6xb8GebW0xY0@+7Abmx0;IVz5seBq)(0=d1aIZf+L^@e8!D%Kz z!jxa?Am$t5MMwu;ngM1b1DusIbfOrOr+N-morHzv0w~1((bg|SC6oG!2)`H%Yg5q) z;;ywpc}d6B;#c|<_gA8B#lCBQzUn!zD$lmdd}L)y=pjKSFB;|+$ry$)WiA&+!7Qvx z--D37-yM>}nhb{#fxCjbq9Mtboiu0GJA;PWYlbz%tfy3}fEiyzLCT^mL`r+qfSE(N zF+g7wEgAsJE&#U`%-{vprMKBVMsLs`%QP#yQP-F?CQEA1Xj@x}njhl&@k``t2ZWI( ziMlC>iexw>>sea)YsO7Oc1-FG2+n*|YsHM0h1+$esO06cg}l$0kUY}-@gK(ti+}D6 z>wM|L9{N`NqYrN|^|VH%kWzYp94nRR_-7c~)O9EcO)OEBB;qzS5uw#Vhqzd32@s(b zGzf{MM?TaPZ1zakmh*KF5WB;~oBrlzfMN?)*YQLwkKYQyT|sJHR&t zj$i0n0-MK(swgTes!&Qw$yr73jj(g^6<{HBJ&3?v3HhVPO0SJ8+$=vtWS^H~{N7y_;` zjXba$iW1;&0}3fBKO|HDMBqMq0D^1?00h5jqX53`-M$g`9`>(NE`YQD?_6#sTDqSO z?=LR*%UB8PY+7Xhvn!YpLb--a^v9$5Z$w?q2&M4E$4zSU6#L0Qz{^R z7A%T)wh$Oe!5^t`sAe7qC zf>oPlx?=C3%7r@Ao@Tq?qSi$Ct(>QrBp&m^*wSsam%G>eWorhrWBkD2@@PKKR{s{M zxw4aS@l9*gC$dIFfZ>BDXQ?_Mg1Tfsd=i?AeB40)+@krtRG-i8LXRBGhOi+NLmis1 zWSr1e?+sdfO+T?Ujitzx8m_rDr_rkejhfdDv-yWjABCXhayiRa!ZE6i=2?c42RXys zW1*ipOy*XLjJOI>(e`LR!J%#(pvG&lb4mz$V=hoJCf_7{W`Z7h#l%?$_i3qoy)WLtUJStr{ZBAjOM8 z22r1aVG?`*kFN~DXs77ugG6SWiA*N~k3UGC!e9TO-ZR1`U<}ERAt#ggQ8BL#;R?P( zB(18?0V1iyC>MWxoO=I9oe%~C8yUPVBn|N~E?=n=Hg-*^UIUreHD?{79|;FS&8vyXgS7|Wq)lk_cJGd1WWH)$S;yV_n-^`#VhOI~EKy9|dbg zE7SY^o$qV&AFB7SlX*Xz@-G?t74-R6Ik|iOFI@pJMSc%SD+AjWeGlC=HCKC}Wr|rD zS>MBrK%Za=Y(?dYPsRsejfQ~OzVzMRO?Tx$_M;qtlk$!>HWr4KcU{4~RMAf$5}5G$ zBc=!-qyVOP2e~ob2Z4Fo@4>snA3p#xya(CtQ!xEV@f)W2{W>7eKW=dkBK~&v9%=mT zPQQVO-(!HO+8^mz?(oX*XTL*;zo);)4)0=qi~Vu8A1LAX({#XAIX`ajI|2ycmH)0g z0-)pH;kQ2{fCyz{1}e-XL$4k_e)vonZ0WD{mE{*?_opn?uT|l{;D7Y=0E+p027cmy zFO^&sL3mnK|C?x<0@8)ASzZj?{0vYTnj4}k>(J^u^jo z@a*N8GtGc#F6=;s{tQSRrPglatD&teX|}1=XK|^9#VCs}O=^TUFVehGM6r8<)>IK) zgPR1Ab6!A5218>83Q#cdt9fqNi7+iqQn4iQU#6&k|ZJs+x@ zTt3LUNq+n!oYEL&Z~Kw&%hHUa@No1(Ry$_YEc zToP$#z++ni{-!=Y5yy7qSXt3A17fTyA2CW|vuPNo!frj3aca`WId&#N(ZNwwh`_!# zXxkHS=uBdYQyANoNrp30i$ArFl+hL7b{8Zvyv?2$Ccqnk*^CryGjHlnjn5+zLmbPDJsl4_G#jUXyx zRELUmr|H;9)%i_x6M5DS2~_%#8J5cn=hpU~(X>%6@7nhrl6;9_HVyjvET61!LqUVk zInJG2n~Db?>QFT3Xl_H?hA(QDBXOCHWp=TjxI9m4%B;KIRkh9o%g5oo+0R{YmK8$; z6RRR}vTBbf@RZrhn{x7O#Hjn&K#Tl~bP8rBRZtz`jB^=O#vXsa=wdWzAmrgZ2f707D*Q+=BRN}7 z(kq?vrs6vOK*BnYXVb>aD*{(>*PJ>ns07wjr48OFJdJ75`n;Ci?bibe)=E14 zII^90b+j>D$O58C_xFI&Aapu^ZP#JUC2O^Dw#uAT%5K%|-&pgpI5#MaDqTh`Go9{? zMA9dJ8Q7D)ql0i&eL%gRyAx{CAw~_?<(yz4N2Gu2GzO?-<88YMt`yrZPCS{WrHMa6JGfc zBtH|+?#vO|)DCq>Tw4$I>a;ebez?fv}6R3aa0x$avvRp zA}KaziIp;8ef@xHZ|*KHK}m>~d&{&b5Mca}=kp>m^wrwCotV?u9L9kJNz2&!=B9;D z3%*Wsl}zULO`%HzpmL~nocn~uU(a%w)n9x7z(Jc7(;|3=&CrRBnNi$OxTd#qg zgs}Cv<8Y>}>|okJx%6<8P^>;f78OQV&d7Uj@|g8_{W0FdScROJOY?o@=QIV@=}YLU z!4CBKCyK62e37mM%{S z?N?wWeNie--4>>I_;@;=@yOpImaO*~$r1R5xSeOcnzTEgAuaVX9Ko#6vT40AXfrv0 z?$yC2k48a(Lxl28~>8P#T8HZKtKxVPN;GXo(}#Ygha z#BZlBz{y43FW;jH#TOb83yO$5UvNG8_92nQ$`b``Y58s16Ax^vy`1GzbSjxTm#AY= zlNYvQr$`1tVoYyawqDoHYc-I(m#tpw&5u2C4Bu8XspE9s#ZN7>jtZzN%HYWyBjnt5 z4=>2G@sedDyor>1aE&}Fe`v<)`{KkQ{idj^(PQ~0q`E?IIH90IAn%WunR&Q;8bjM|UxwppLHT&h`6R))!wzPA zNvdm4Ihyyqy<(k!M7)n0=gNk_8$Rli2j(C0?XYt^z1P7B`R7{qd}QHxk`B5LaBC~1 zHJ(yT1sB)h&&U=mhcn0JeQ?|%TX6IXw4{~iCe~!Yv#G9=4UKcIn%(@k)y$UT1uurn z^2MpU*xFjd7XBcRYVly6?5z^7nU#_wMjlhZopf z^rypnchNsMynq?{PY&{a-&vT906*e)3-1pOue$jfErS2@ zHDwk2tFLX<9#Zl?1c{KaQtGQ^U#Fr;Rr#ne<~(~_wZ*clWGc*qR*r$i{+Q&k+IWt2 z>pPEiFGTxr-I&ZESKMYC+6*dWEiCxptRG;1EB?R}3tz1A6g;`4P>Q7MvrcEcL1J`= zl%sZ)Pi53H(yl-r)Hhfj?cGIByp{te@dDSnz+)Fv2T{ujK3FuOo6?9R!g_6DtLWuS z_pEh>U_A2N&5qD@^QjN}Cw%KfG25sY#Kbe)&)Ggq@}(hwWf}MTu@EmTQ2Ht}w4e#cax3Sl%PN6XLF#wcu;hs`wsrqPJB+ z5)xt|aro3YhUDWg=ILcLnuM0v$&m@;kK)(=W4#^pCytSI`-n zc!qRg$epYWQHe|wafEIf>IX-Dz$_BD4h@ZiPhw~q4zHlK_|Fs$1GXwuO{MdhLB7b#b zfvSAZJNng)y|1HxsI-5NNc{^p_MbBHCoh)euKfe8Mj6;E_%U`_Fdk)KYpYa!;^PYzC{p>vr0tg_ybIu`{A~TdG=F`a z2VlZNkp8HU0T7@E5N8kn20&!_6?OQZ&`anTfX$_UfBaAP(o(@)5?KU$$zPwQ7bSip z=ZlTAIR$?|mjbMw{4O}cV;L-251F;LeXjMouK8wM<8n-1YUdsXI};bO9s(M~I%XlV zU{fF|5ykY>O~NrZAv64N|_T z;5iIe3&1xy=Fi7dg(XBDSW%wT?@Ar#&Cr7&jO3LeekdmBDU_Z~&xomcb(>Sj#IE@P zHE-OoHfa#MTJ5cREX4`Nq|wv(w=|T-X%_YVZg@GX7!DBGld)bPLCi8#Paf z(g_y?EeWxyd>ED^*#R>LFjA4s8Ozmt%(-(F~h4It*mCKY=a$8$geH07n zxhn;%{k^l~;6tCNm6VP%s9SteVI|35n`c_4`P&nenMO~EvR7dA@xer0i<0Z{Q4nTX zm386M#rV+YVAlKQWpjV^6twN!=w0p2v|yV>b`KlbY!7L%6c)6UZxIE9cpMU1h z%i1uJVe)l^cj*!RVp%2}tUasPKtSo-6Fvtu)6#M?)p@Y^XdPnA`C)&y5427{VrA{H ztbMzzfXBxLd2{8Bbq~)OAsvlqdd1GmG{sY?OXS0v4ftb@6uQ~Olj!kEBq+k*Wd_BZiS+<%n_Q+lbpQRR_tA{g;!e*!y~pD zkg~R!$U3G3S0QEAlH|ptlOMY!>IK09N?8Isco2Q{I-5MA_9tkuf_DY^P2}O`z&AFW z8ml>V@NnTC1wf-~jdnc6h82Q=($VNv7Yd>~<_=0x7WPg;bF*!0{j6E^gp@l`2Nmzk z{vELa4A?DYil2xfl-4QQwMX=}ZDxv5{A$ zy-_e}@iFN*~wz_=!PioTIh<6GJx@;6ya zhtM8twQp5Rq8;3@Uh5Z(G&Or3kq+iGwk+?xE6(TQbJ!W+1fh6pd(4zi=iE%3f1_oS z?ZKO?ozyECoNX<%3?Oogz_G3^5MQK{DA-Wcnm18@yLCn0&d#Li^#WoV?v_<>RL1>{VMT*UgX3O`oTDphqhkOi{ey3PJbeBQxq>UXNF^ca{(3w{2|Owe;T} z6gw2_GUu1RV%Xqmb9%$^S9<^$Z+;q!|II8GR}hp@6Z_39mUN(_rRKM`F!-m5AOJF_ z2DUu^%`65OnZL{f-EBJm&t~!6Y|r1%1N|qn_&ZwuyIK65?fesAX8nOM->qQyPm2!# z3Cy1((=X%V%NR|G4q9~o!(&P<8pz`}%=;}1=n#w83JXwHK`t{ShekS5;wf5t%c+qs z`11Tw(_6NPpTFH-u&5aWS9T9`b4J!GR|+>mA4(7sVt-w)Clx$igur$*P?i2(n6gF) zd{LEqB$u{UDNVx3j8#ivMkvw+`AB5-^wj~}a`x7u$8od>%|LFq4T z_7$sMjyi!hFCTkGvrJaY*n#!o>EpGZXOGw2a*XiVu z+#2NW_a)bEeb52sM+hg#J4>BZuwI@fTZ=VKV^>FsY->fDkj&>5yx3lSK%xqX4ew+) zKT<%3sONl|HlI(s#UuW$d~X8JTMN?!!35c4JAZk&`_%#X5ZDknmn){6bT*^R=Ww@I-LKj`J3eAP z^_XRj58c1G1qCyy%?DhG9C6h_`gI;2s^s_AU+sH&4`ghcG~;VW5AKxzwI<)MfBE0A zZ2zg2|JAYuW(EFY+1^*PUoG4FME@~gzoPQLPSE^QM*eKs{x$&$Shl|{`}u!h*|Pqa zwg4tH?rGe>YXPL`d+PIjkdF3_HO&l!?|zy;_sakla{cUK{!_aHoZ;UM!aq)UJOGD+ zgoJ>E1b+bL`5^kQpB|Ww`T2(vNg)F z@*EUg6Oq(_#c1HMkUWKI+A6^;#k{5a;u^d4GGpt!x%K%->=kY13^;5@O+z53=7d>T)R_L1O>)YVryh(as06r=L-^MC! z&k1X1;Spx-z^hF**zssUD9g#7Q9zz^Kk!RZ#%3nM8{L`rR(K12-H*1PMvl^@2RL!~ zaY}VW;fHY@IKX_#^xg0o_6}HiJ;;NaVEd-n@0@QNB`yk-Kq~p206h-^o(KIr;KJ9 z^t}Z7l@5As7rwTQ8o8h~6O3!qZ>e(0@jTKx+p+WP8`+oZT;1%ZPHhELSR>LBh!vOQ ziqA=?0t2L1jax;VqbpJKm^KY?>W$H*wKZey5*AVz9j6NDx)QmCH-a>pd?gcUln9C1 zGk96`qWd(m*P|PE@-8V+ykZ4A8$*{%6_zdPN|XvvYT86HnqAgUYAcLEXb6|qIB_H4EJ|AnMvH#cAq*bowCev)vTWVfC;tHH#1C~ zuGT>7nIfjj)4MtBW!iT;J2N{zvv^QmFtO9ynL`##!$n&#+C3yhvY4$B6v)WujU!~+ zB!iJ5&;H`gtc4NWb1v>~u_WR*k|0eQb=GwDyw}N-<%3KGrW{!!Sl%XS+s zO7QhKsP{N5_)6+h=^rD|{#xsYC@K5_Aw=+pg(1 zpGjx=QH?r6>RwCOl(xu&l6H#P=g^Vm+84xKfTBr6em)^d)ldDN8!{QUYnr{#0f<$ZQKo;8EgR;*2$LfTR zQNt~kOMH`c+8d|^v2wpMGs~LKC2fFNXC+oJQn=5zI&!f=S}LzYHQ_9d|Fyc_FVp>x zCcs@C2G~yjjXd&?RrzmhlkZl+AIKxD-|d56Y~sJS{{IE)_K!LFlW_txkl$dpdkf;X zdj7vm9s$;FeINhT@xL!f15ozg$Rl?cH?Z>T&Ng8IR+=&0$J_&Q-(&8VoP7`819A+& z>hIt9AoRc{U_kH=v10{n6CijG=>e>^AFIXg(|%tq2Cy~m_->5AqNyJw5C(?3l;4+% zF#);>04)W8%>eu9KKwgg$M$di5}@n(2m46pBZ7_+f=p8T=;!zTuPpE%Jjjg)tNLp_ zWczgvQLU3P*B6 zY~46QYCYtmx?QcmIgOnJKcFx|W**jLV6pYR1ScbYtj9Nyi89(VO7+CZzdZe0_in9V zPq)<~Wh@$n;2ax;o`l8TMC#_ney9DIAQ+E46{Spw&?9XMe55zQ9bYcRPxG*6k5y>HjF@T|K^FZMbjw(fld0ef4uYgd1 zO@QdNX983He`tFPusV{iTNt3IPBzpB_%Bse#u$IMtf$aRVPtKRAU4qNT75kf^2-rXZUc= zCtvt^L-H$>5!NSAkQ^ma1vEh^4;T$N5g~>#bhB5Nfc369pj-7(1A%;A=I8g;s?5PX4&EG#74-_HlrZppSO&a%x$f?^Pz2- zdNB?cKIpNGT9Z%>l&jQ3bCpiwA?Ms0sT$JEX)Q#_2EaEpzpdj!(tSHg@E%cFqZ+BA zNj-AH>W;x3rOkQ4b+PS5Ui)Cz4aKPMHaF+$0TlCEMZgu?>%i!l^X}d*E`>3SD88c% zSl_WPk~bC6XZ;boW@40Cbt+0Jr*<0bba0=WyFnssfNo#1Cc+21`n+yVCqXsuCOUK) zLs-CdW(%82!4-|@w5Zp6E7~+v+Gv5)mS&Y+rHV<7{xVEtWW8$I;4>o8s8;wBI21&V z9;jN#c*Nc#x5!*d6G}1BjEimEu_wanYW-1uTM3O(lj-Rq0p~U^(e~gT{hk2#0}ms8 z7fhAO*Nuw!^sY5buL9+ftz9_PH+Wwfj#Ms7 z<$a6^@hN}_B`i9@={GMm@9VU%xYML0OQ8({B|WG8*0^E)G58e&+3^Eg>xU5yuZtkgDTlGZSypUNv}uCADANlO4j^ovBPL^lM3V0gpyM^skAA zj1Gu66bfEEu4ZRx^em!vlkZjwad+e*ukMpg=MPBW0E}6=4ChG``O;9zq zq57N*eD1k(*Se6JdmS%Irt!_dgiPH(NkTjZ*VbYBUL!Wx-qt%u_|<1za?hKc`^u$j zgC2rJhLvt@irwnc`^+#M#C;EFpAUwPR#0u~*O5q#yQ_A07jC`0_tYTNZQmxSB=LMh zbnR3mR1%XJO61!auvqr3v@_ry;XrT7R{N@2`i{?uDxtV)a)mGNBm&YLS!WNUrqz73 zcOVsu`xHwQ_6yK7xKHNF#noOhAG|;m@aUaJxbF3(+y z;-z+TXwv2r>=JghCe6D0Bp57#qHf+viE5|yHi_=urcj8F!_u!}d%z!g^CqY~th3>L zG(`E9=SCSk32wPA6bX~$`^II1(bfx=UHd#wFUHbpRu<Spc*$vi|0k8?LR!;syA>Pm5C zvvIzq3587V(QA|GP}U?^#$FyDh9QjjUCB_Vs{u(3gBAiP2#tylMGaXp6G;Y7Lb0mi znv$~O9vic5_q)YB(ihU_6ItLjVGbAe7n%{Aqu_TQDNYj=z$YK) zy7@JpVx{+rds@q&GZ($)UQPGRvb1%i-DhkbRUEyUt6s>4cAo78I^mg`lir^{#cdPO z3QPE6&ZP+&B^1dz?UyoZgU-$aH-Tl#i!k8EgNAW&PcM=^R9&KZkT9h@FC;82;)U_H z5&vO(387`4G3T<)CQ;0Vx>=>5AcFXZ_5(5ndOe&((galJ9c~K&pU2h>~}wvaeTMUkJ;} zGLBQ+afUW^7OMCTx9Xl)3>SA9vCO?k%3or8RGIM=SncdK$y@Z@wG5xv%xe&5d>^H+|+v z|KghhI3xd_TLEw{e#O*j7yx_!nO(v7uioi*lkul_`rTOl)jI_wdi;dm{u8>#46u6t zvK)Uy)&C%yTv3_egX{%Z&V6vz^w&Qi(H62L$)UdA7LP9{NQ$)L+gz#4f1^R3#xi^A zHX?2s&3yN@Ah0_el(Xn)3dX)Ds{XO4p7cA<3l{)W$XvhnkPP#J@&m zfststoVfshpnwmnNlmcaWUw&jVCU7fu1Ymd=@oc}79&%8l(rqXj9{0vLvXg5vgl0XN-CAk)AgjMlfokL25kaX@UVKSul{0`>YnGO;(N zWg@xPC5TO{W-#dbvf0E3m^1)L_V0b3@t^zrFMi~I>EQnBc=)@6%kjgr{LR7r-Wz}G zp8pIK{nD_11Kt%^n3c;9ihQVoS3fe*(`0jdl*vOk><=ym##+|Diwrueio@e*~a)KQi1z0dv!L_TL{#Y|k(WK=TC<=m7MtpNot?18{QowuaAX zW}1LaVNt-8`mAy$2-pvB)xTFEt?y`W?n3?HwG2%m68L zY=A(gl>RSYzAqT=K)~^XGW8P=0)PxZ`WB$na}xl&{J?j9VmaT-JcCS{EC2;O4uYQ% znD2#uho61|O~U3TCdT&0HipK}DM!x@(g%F}D);mKNPiZ8{_%Tn{B4x|g}<;fvC}>` z?Emb=LJtuB`(BpiyDa1HwXo5%(gF~b=ezyf8o(+30r~(Gg8;?;^C#eje&6e_;sB|_ zKg+YRvC#swnZAGie#rmZZ-9gRy$V)V*8huZ^!NJy(|=e1$A5l5zkZzHFBjlXG)VLB zr_RLAPRl{?pX@lV@qOsupF0RF)9 z=Pz~rIj8^8?*G|(HUPZG2B`me3<0(PJ@WbBKVPiu^t8{z>7QQg0L{!F<$nK_nGqnw z`Mm@)E6Z=CSs0&dW8`4}-g5ymP=6hb`B_Zz*LMFoiT{aG0}Mb_^O2>?_K zkf8!dg8cznvIAh#zp~uEV~EdqBtWO~`M=NNRL`MH763@8{haywXHh^T;8~LDFDUaz zh2Nn}4nV0tpv)gf1Vn3}W4Zur^m{Eobg;fR;0Lk^plWIp{Go&Oy!odN)^p_yfJ6K! z{3p=)qfQ1udB9`>h==?DTp0k5B|uZZANtv91vKva+5U1`GlsJ0 z9f_pzr^CCdUYeh$geg{5!VAYv5F^SFfCAej1OYb;U=s%J!2t0mhe1Zujl3a0$oulX zB1S{o+IreXvqBSI`x?LX@=#`K-u-Znhl_(L<-^mE%hUbR)4j?2NING|BgT~La`lU% zKxr%vLlfcoiJPez|A&A{1;-KbiaZ=H}hKJ0FVdnKONO3W;Cdpgo% zvCcY`tQ-5s=6H{6h|&2KouloQS1RmnSh1JjO32X$MxK&kuHz9(ROL%ug=j~^L&0Ek zaSSJa z7w(Kg@}`c|Gl4gFl<|OR$WuX7BdMR8+c$=hB<=RF4wjhi(R5ew^30?ydQ@V1kLgA# zAQK@XI&xiTQi16ft3T{csW$WaddIC+XB3B#NqPeml&LljWP&jc7Bc&)DxYDDrO?ICPmtf0xQNu)*l&9wua{m0$v z>KMqn;_i=XxRT(>^)DV?W^#4BbmX7VI8zH~ZU;iET4SxN)&UjWKTeQ6J%uX2(;Hg< zlK!$K?EwCGprj$GdW$Q~8Yj7|;_Sq(e+rfAJ$bJXi{rTXZr1%A+*(JcH8l?dc+a;X zJW@-xYzX*1kb*)@Q3!OSZjuH(2oOD@T)C#CuPQCxULS#8cNp=+2=hQ?w&QfaEIRbDAr?9;2ty zMeu}wI<|USGG~H5Pl2nDJEpKh85@1@D4*RhrDVILup#QBpfHEz_0Df?X$7QDpU##h zTw= zqX8G8-aKAM$kuLy9N?8p7DzHh#%yYD4l(F4$b4&wUWYXYVtHDFm6|*fmK_v(U`l&T zdF#55my~HekHzsK%4ovytuQ?A*H%J3aa+8~v>hB;#+KHbuYuk6lMgrKP8H*}ks zq~;pRG|j!z34@5>uk^-BJFKiKGt5=9>=JEI(l5Ivilhz4f{4Y&g1B79rbKYb-S11| z9mi*Js4(gpvmP<64LUOx;b53A-ekNOBQ@iCf)L2m6+~147O)L@T>d0A9+NA(rdO0d z!cH1A%2A|ltU3nDhti^x5Fp{0H0Y8M0iOH{Si*u-FFH_#ZuuPjyqNtUl?EI)6X^Bo zQbF;2-TQSAV!2D{5-3HzbWtLtWUVA%-8!Xz z8<4i2G#gv8@gv$wrwozE=%dWRx{ru=U9a$*ZHGIX;kQ>iw}P#;v>C%S$ZzB0%_8i0 zH6en=#A?WFfiKq4EO0ckbd%h{|AFS!T@r?X*m4)fAHHAePoWE|ROU&0ydK13H(L`}mO-a{)5 z9tHz}wWmu&COkZ?fC!s-ID?j;bqHnqpz`E=yvt_|hG9yb+|ItZqGtB1^z|ZCkgWKs zNpF=rP4hZ;L$Wns)7Dh`ZvAr!Rk=gyDk(d-&{ycpB3~NFFYvtFRgU#d(2P?W6RFw{ z$Ki=KNx5NW908Bw`cGj(Vj7FPV*JaTbc>TfSNl7zP{#*+7xi;u7dWX44KKNnK9c&t zEsWJw4s?1>;;}L);iEH(+$D6Jh5HLCrB?J8>?W?0#5uodpO6()EjpYTNaA{tmihtt zXh+!p(+Ob3thZA*3=RP+4K`1)LHL;w<=HoB>Q82^k?$L8QOK2LNjPb}X+GOP<;uri z!}_;PkXN-Dfvc>!LR{qEl-?xf+Jn|8n>S$O7+cw*sfW_Q_yr0iV(@}w0^8Qi6kR9f z<|C>{Fz+3Vv#KnB5Rf~KnmD00HKc4^NM&Evf($xj_lk?7d}v0Q{$A{j7I+M zC{Z#wo^oCu7Vhgcilk|L@~Rck^DjmB?UtpQ%5tOI>QZiD*xHKChPIPmL0_R~_0cK@ ztjJ~#_a~XY;!N61H2(LqWxLt zQzGYajF;nV#$%qNKIN6CDCLet(Z|o^UInBt&R*@D2VGN_BAZqQh&UaTi95S1Nn}sF zq_~H|y88AS9ua;J(S@rt$LBNW4d^-Cl0xG4OtIV|Y z`=U1dlNLL&DZfvfDYZ29`?-=Z7?mO@m+l`Z=~()Yqr_vIL>4ftRpq!c6Kz^QyrTYX*iEt9uvcw6=x6@t%48)fa!p&<@V=!A_N_oZAoM^8pW z-LqYo4q~3MHdLg#YL`PCY;;Kq)JoQtmH~d(eGqJYeG)K7(lr6~xWWu5%5!e^PsY}% zM)58)4SDV~F_g(tvwD{P)T;#eU=$E@sM;IW zlt;mt{WSAQxa|0@3G_Phv7Qi}D_XBX$$!3({58h8aA!BOuk4(WvG=5J{tbGJV*bnM ztrbB{w>o6WalEugyl$m$b&^IkTZccgB28^IF@WhzBVqV6Y?T)V zNFY=6{l5>4?`t;veO&wkTmP4M`oD~szoY5TG^OYM`Wu}7qs#u@iT_01p25(cBlee; z{TrbEFHQL$aQZX4@Ez$?1q`WYz~ui8V~l~}8Q*!n!heD>fPBrrM9ZHkW8c9Qb^sgm z4>lMR!}ApKodWi}vI&3!_Cr-10C4~`_SwFRmj6IW029MsC<$Qc55P7c)CS;?0Z@Zq zXz_sP-5)LZ-*}zBLHfT;2hURAdWd>*dS(=Qa(0M7Ku}`98Gr9ffXVNd1O1->9snh` ze*`?N6D{RXR8jj}p!Da&Y>EO{Byez-yHa62Z=HJRe<&bQd+G0O3@ z!WQ(RDOc(^JI&hUE<4)qscMJzTH39heW%v2I_(#9(API*hWY$sG;T5;NLA;_c|{nbk)}e=0eILka$|aiTL#Tg5xfkB;?p z5bUGp!739NhHdrS@QA$*`HrNuv1j7U_SrcaUe3VLF!O1FbI7~v7nu?|-tJa1X>*pf z=gPEY!(I1>tnGHnuPJm1nmj$<8U_q+)t{-WbDz}Dxwee%crTh=Dl21x$p%$xeLcg@ z@ZoZcI%_KT-x`#t4M*SEqND0(yJ5Y*vG45CwC1ht+GBa(>hf9M)&!5RuAbgL=kU~o zaw|Zp4ebjP5oS2Ut&Srnqz()?rQEFPk09H11x5+u>2@)K<4C7x(%1Y1EmE`I1oEmO zl9**#8OPyTe6Kn|N6r^qe7K6)Rc=8$z`05Uu9!F#MrMD+|3XdIKmNdeSgi5#^2!;( z`Ix7wKFT`mrC`R;7Mt}&6CCPDXUzM)a4Ye1-P^;(u@YJtMU`kNzFOO|=IfjQTpdu9 zI`t2llrtIzMIS+PpF&jCSn!Hp#umcI2Jj0Jl2DPf9HPzzIop<1R=zi6J8`08WK@gM z`+6DzM~_y>>VsJ>bk(WHg8_B8c>J0Lf8oykdi5JqBg1qZ494aLiPTzMi>NE+_N9;l zQ`xr<8i7u^2}FhIkUY2$>W9El%+6R179y0pTk@mLG3Tpc(Eb^<`behr=)U>NAaPK9Ml#%=S$OYRCnSKcI``2;nvrlf$T1k8V?p zCQ)-TXLWj10grZU&4Q$`qxiq$wZ(UfFXR5&&Nd`0X9)>OCc*QK2)RIh{L&eQ+-Dj$ z1ckF&FEWo=_4I*90>!BvOZ~$c0*sUrxjWnyJ!Xo9Xmmt>PK}*O$2Dl;p>|cpSsiOk9F_!h=<bk_4ZXk%&F zRBiDBAE6$WoJI8Opf3?WRX!eKT?eL5w}ajBVn`LdY+F3I1Hp9~K4DOgW7$^*5~eYO zm;TU=quGs|khAfSAqb&E_n0J9|)(@F6Fuh6vt_E z;#0|?)y_?oxEto1KfShjAlQ~dEr+L==GyFDfYcWz(dRT+Ns{C zmHrqLvoBpLcY<%`i**AE?!h6CaCFKHF6;R;%>#en6d_N`T9X`rw5p^hd;zl+zFZO| zV1b{1t$j!gN!Qgd2t$Fwel+*a;2UW9R&t)XvgO1?!*S5(LH%p|D_@Us%Q!e5rl7CR5;b^U~4R4Wm$4FZJOa-)Cxa zB#8%#k3i;l{;!2n{6^Maq=-FN6$p(T?}B^O&3w2B}2$&BXljPudp1^!DEtaLAz#e)UV~VPD^fp+c zmr0A#kGgrQ2kGKRltM@tkl=El5q4^~$yR)KDA-2P%MlCHXLAhd2D>TeKm?hQ2%xGG zPQn`FAO|fP#FWmjOD4r-`7ebTus(;itp(dP5l&TAemEkNMqtT|Zbh~*hY!)f-g`YE zb{+F_;v2N3>QT-=J%Rp=H2rQgJX;}umm5_UkrPw=Y34Kj#~f2Y#v2VIfN{gX0(de5 zo^;O-@n6h*Kv?%zLd9+Q~Wmz39tmne`)3eT!eo# z^W(HF1AgS0E^DJUzc8Khw#tJlvks}UDR4GyWOZ8rw;+$g<-t1fVWr2`n(m-E z^J_+u;1zTfqhO&+iZd;(@vs!1-3d62yCEQ%@e-e1_)HS+_u|Xf&CGH}(z&(u#X7aE z^X$)75NlsTrOQTX&uE}mn8j!|k%CoGu*Jrwub{25vq_}=Hae-Tn%!uq0>^B)cSO;S zZrwpYqO>?fA#z1~sui-cI`zxFI}bH7fyt&AQrVV(miQ(Xb65T7=ao1=pEop1ks(}C z;Cf8)CV`s+Tl!_xaa)p`hN}iAwpgZ0rh!de8Kh6lrNV z8K2|2&vEBJml^{2(=6XpG`>rNvH>zMm;r;85kOFQezO6DKmYjoITrbxl=}QLz_5P~ zMLzGr3fN)-jKM!+*=&GJtRM9Q40=FR6Hqr304QJrEYkJ7I}6}SKkv@=ybVY*`NJ=G z{t2-89Jb{EtklT<9clQHDFUeAM}0qBg+D^^&n@|0H(&x{0=)l7CizhhfWY)D9rGOX z1%MZTa|SH4#{~H2_W}Uk#j|7aV_Bg;uf>mW>~lqboyYTa`hH;;0C(z->jr4>_mz>J zFVpjdeD+G7!^h8O!V1{!`P%$w?2lOOkMsButNo)gfD-`N|N9MK{-MVDefy83mhT7r z8P5e&{@=}l0EyS1li=^(O)Pzt?9+{{ruI(S{HQ9XZ?>NwfgC>uz|(<6Hf&~Q^jnOV*R2&{(}M^i#nV!(7JW|%IZ=ikDc=zQ?W?0Ax?+VzIyRG%d`#$i@ z4yKg!TbdKMl@+c4sM`7-VWRO+ILSrTCOUVQX^WXtxfA-Ll6b8xV9FqugsWlF2Xb%b zD$|>{m`{bFrdF;hLxWc1Y943a9t(IFj(Q~TJ%Uf!7^IXq#a-*MxB@>~@M+vwPK|yw zEQiFrZ)D)YkqV6Jz&s@UDvLyjO>U1W@8djY9$zGrQBBWHL`z9dAV-nL>a>3u_GRV+ zffwd!#~0mc)0zPa%Jn(26B%TI*7pOgImFv0mE>;8 zkJtDX+bIiQ-t;pzc4V8WTe&KQO5MC9RsGzSx8=>KoSeliQ3#tbm}IlKN~Vd7SC~)% zbDkI?GH4u6)^9X!|AAVrB+}J(0JVTp&)!w31J!3OeU~D6|+A78|vF`CJ1Vspn4f?f+UQvU* z>c%SQ*_K&hD`ZxzG=C2L$*PoDYAaS&$h3&IkhYlNzVvGFn#(+G1CRfpoy$Xw5xgH# zTIjvA?xp7BXyZ!zx5xXw>yHcs(>f*}=e~7z7=-x2*9VXUs334MxSp+scglvu3Jttu z`UnMnR*QtJ zkxsmrH&owS{)rmY1GC*vh+t1J{61pyE#tu@a zjJ3z1>hf4V-f%;C*JCd{MQYvfL|j(Hn&69=`BZ00h&^Ug)Gm-UaD`M_mdBoo`*EE0 zpb*uD<-s78Wdu`dgK71!Q(rjto?+2rVfD9elOuzpQaP@j>|*Im)DrI#fvKS5uKO4z z`uqr6=ZtHl=KY8FmFkz?MF~TxP4u4)BV;em;$O0@Eo$|4)~J&UG(tDLiH>c99_6-k zlftX1vMab;_@GPlhT$T6eWHi1*tTeqzbhFJMy$ z7wb|b)ruB*+;VKYtqR2(jO~aALBypnw>r@(7ud{Yyr4s^=M!o!>}ClQlYl+;Mmv!0 z*^1|bHg<&w)41bikmnlpCfH2J90K8sqrm)`lHsa7?=tneYqCX0-67c!(EK0@{;P0 zHnLylW9N7gZUAwdq6YJ!EqPN0+q4GM5jK-iQ*&}smyzY&E!zEnJdG+ zYA?*SYos=Mck0`lI1Bk#9(vlHLvBiR8dHlD@R_KmpC~wSgYJ|ajC#8NCesq!JAgPx3&uJri^HT@V`lS!Tbt3c`QAb- zCgAMPUKoadszkP1yq0OSXV!QdE=%;60$F_lSg#RJK z`OOh0&S>1ohOfnUEh(jdjbQ1Q0o`3KS;Y6gXiVkO8Xeu_B)wl__#v0Z!RwCbBEHg8hsG0C zfLYvnHw6@^^mGbG`?S0hGhIT`%+(K0AdU?{zs>-U1TN2g+hnP9UrPmT6!CfL6wOT1 zfiAC^E#v+u6UDtK?)HVCHSC61EXSy=Vxf4xc4Bv+( zYDdEP8VBC$!Z6R$oP!jh>4IrQrB|w4pZ0V?);x;Uq>(Lnqw!zSNZMRRTut4$GLa~- zxq09yUv830e%m&WOEa9!&v?`6myjzw(!*%EA=K(w5)`wT4SM(_xl_O0Ju-YH^%!!{ ziOo6i!lJ};K#YsLyq zeH}N5uFnkLIXb^wo^c=hoSwKC+@M#eEF45bzs^A_m?kOb9oG7Z4JN&b0_JeM)(-Ry zj$JrfncFFDtWzq zO(+<*LLFuVtZFkkCj5G;Ay75Ac9Te1F87tBKlrr4^VbFSidxKPjXJE_;!u;Ja9Yu&r;Ahm`9_pe2;CYx>m~6MJjP>Itdj zp;`oWi)C^RP~t1}V+7&ZD@i_Y&upk01+vneJp?wnB7fv8H59_FC+2ksx$+tcWn&_*a;PR z>Z>rYyCz5UpzCy@oCotolGyigq8BLd_S7_!kB^)!KI}>gF%gQ3A7ai2DtbP<#Yn z&t1PRbc2iF)eW*%POlwSg59!UU)?h+UlpMW;Cb-8elQiD7}To_lwf_}@M?=ZobbU^ z@5<6qM!ZV8Z!D!t?)2I^7ZTZ0L4#W#Gk=ur-B& zyS3r2<5^jLQEw%zs;8LX1qliI;X^YQ0B%Hw7_2@GLY~v;eLWc z0Hu)0AB4mT5(Cvri;CSlk`p*ush+X#;AHtsTbu_}4U z&Rg_Sxb$L<&$#co6za2hUHP|^2fw)cUD=nqz^rP1i1>tvcovkL#S{60FuhKsg4!pz z7#M=I*8a*7QIINhpf>v}af4}N$8f)lRH##*&x@~<_aBe8wwF0vb!l2VI9U0B8>3`b zgI{ghqHF39d$AvLU6KW4etUD{!(*QR$qlS7WOgQIj-jgoxN`;y?S&|8`7uuXiTJ7` zy+wrb!B_}xy4kvzU6@H<(L238Y5P-$kL+tmH5ofcCE>=+VHgw69I_kzU%}cBTPl#& zKjv+K=K6|%-kZINdBxvyLTMigapY$VtaF5@!sViJkAn;xX6 zhkF5w%H2^E);7nn1POC}5G>%uOQBVF_Ar0i`|KCEU?KFRJso=a=ZsOQs6_>#T76cc zto`ELX{oA#5Sha40T3B2ZMm@{!>rqFHS|)5D#yN}dn_!tyAW?6;5E1|;!!o?Q%c4` zv_)|5?H0{DH3uk|S9FsJA&AAuD6n?x63Doi8c&Z+W4Q+%1=9@3+eNP6uG)gD4p`#3 zDuHBuqW#22wON%r!o0kz0UBJ+TGK`Fo;oFSf0Zjc&4nV1p+gWVgka++q9@P7+W&p zl&DPe5;gAX&^;qW4km7>lNRNn7(sruUk#u>=xa{Ble! zbU@@u@>IUIE$M_@p!2d8U&m$!Y^G|(dt~3yhIu1I8OCCwOO^^$_kYHO!Qm(M!k9P7 zZ4By-^6b==ZOK|DGv@9^c*{zO-KqtW-?Gf1!WO*2uQ_vptenyuMs( zVQz7{fk8&pEryQdrKujUHyEJDV^u4v2su%5c%s&fN~d|0xM|UXS$P9_o4B)}ArdWu z*CZHBol)Mm%eT%r;Yo?J@uvNDmf0Ay+D zu7SDCHwknb2&gN4u|udKS@brshY5n4Yj^1&dQ-Z#8iP{j$NY1(a1j;V!xmn#KrKbELuR3jg! zw;7N|+B@O@g0#o^gWC*0G@KWye_l#37a=ERwXGsW$Hu9?U2*Ili43;vc9vdEnadLI z4MTp;!6}FzTxqe+(wdm+N^9dvDZ5?g(rJrP3<0|iNQm@3QrNpY+hy#*DMS!X$VSI6 zj%NN+Lo&LnImL74luL?Z&LbDQxXh^I;^9Q{q;;B?Jd&A#>-gUw;Y~AY@-_WDJb`Li z9X*2MbkN*w8iS*_K-wvb-m~zwYr12WZztRPRJlbU_CeKSwd22-WN)JUa`sNr->_(C zlj#NymzwA0mMAq;;yoSc^#JDQ&PMjjBxNa6;n$ZALdF|RM@nG*UIEx7W@Fd=H17`R zbPpZ+-v#a2O0gV1P4<}}rF-H-tq4IAez={$DSO|h+_PBBb#d#o-+QTe5}onU*}KYI z3{=(Jg1sH?&?x%N5-E-2{p&=<8XK?tS2)cq;y4A3lSLv26MM{F&AdShJARDY*_)yV z6K7_darCluJ2ka_Rt^xR^J4YFO2Hx_B$5$`Wry}GAtRQYly7g*E}D$~~*iP~K%dmLpss|oIkO-MBu|9mF?nja*}-&tG@ z71`xuNE~CY8Z^vT#Z#DZFnAvQ%oPHzflkm$wNA9QTBVaC1}NxrAom>?A`QWz+2$!@ z=k2#Km=k#3La|3)Cpw_>=G3YDL!gRl-HMP0d^URNP!sCnQuu}`Jzz2(y5ViDnf(Qmv~G9~j2HRROrz{oVkZ}Q z6zg#6dLSM?bAarptGVVyT#HdGxrMZK1

wFSY#~MP>Z_43-*^vzg##WR<;FqF$M2 z^*hd9DH&_JL!Yd9(7C70q$qM+u+Aj{5qHixPTMjUeK^SFb|Jo@dpAGu>*E~honh>g ztUEj8+7E(M8w=?cDCxVS@ysqIGPT2s4u;GlDW?WLQ){?Mb; zQ^ux>^%dFcE55FEAYd?6S!2ZE8X+wupWc<{_m}yv(5-aZ&)pU(lsb!*FsdY??vEqc zJqX_KO|rmhb&vMZO*xw+!mROEy?c7~inGTw>~^wh!o4d+dVvADqHr7+nlIfacn8g| zoV!$s_~saoEeyK^Y~0^I3RxsoS*v4N}Y!I81vb_h&nz{#ua zm0-(?vahmHXTr|R`*eP|wlNr}>H>0c5bKzZB5F>BRr{kK&??4)gOQ;v4zWUuU~rQK zNVlOmy3&x#@RF&!q;nh6=ymBCbxy-C%OWd5KI(Zd@-|MT=^P+)%!Ryt->nfWxKixQJ6Xt7Phn9jR~nHWJHlOMKYmH^i8P$v>3FQ25*efU zOoc0VX6%<@vmcG4+KFxhbfGFwmrh4=!j>W|+oJD#Wm+7tH73bMNA^&cH)+=<1Bo02 zMo8=C=<(F&p`nnF7#SmjlF1J~L#C{x`tF$H;7he$bJ@uVd!hQC_MVKa;3F$BQUuA9 zyQ;cX;QESJk22;d#)&jB{0`}DRq@@lCe&_hP}1F=LY^Uo@*6=nh=AZ6y-<{xkJen8 zlj%r0eXVx=v8|H^FPYaCma@~h=k8B8L{vUApvjIMT>83`vefKU#-&9hh_Xd9`9qUafewhqayiPR`w~WZ4y#JskmZ7l3ejBJx=nrjf#% z$d#26Yoe*xRGIAhtN3s|^qVTMrdF7tuzb@tx1QQh$X?}=a^Gh4UX~^ZtwWZj4hD^V zqI)}-{-iv${SCPPqXGbeF6f* zLzn!gSlB@U&z(JF=qc0xtbL~$^02`{2Ag4O3;2L zR|lWmQ`KPjJB(N3v!-AH=v$q}JD`ciJ2egCG_!U2M?p{C@vVJGNr`Bb+&nv*t#0v| zq99+vaj9rq)hPoM$b~`0fU@F(wDWRcU`@aBUA001S^c42y@!7HK2lDt3E{GD_A}v{Zoy_cCt!@}|BNHgAMyUwS4 z3cmm|4lz9AnqlS9O1&gV4t5Zu62nCm2^Go4WXJ_KV1O#KBPvIx<1Zn;m>9=)Qj`nk zl*1)T@*T@SAyoq(Fo>3dNB&IWF6dI~0U-~mK*OJ(8d}HAkqWW<&R=|vDKr78^Bsk= zCF{0R?Ie1X5tA0WhT7uq84% z^zl?V^c-EmqSr5175p_j*5U~KlfW8%g(3(9uQ7ET9An-X;F^-yiQ>w1D?z?8*axD4 z9!cuL5D*@yDkLx#&WBwBrywSJw;Je+0wM#oSPoW1u^K^;n+DDYo`G2uvOl??*{aSz zGk?UQWl))-h&3)fpmID}U_0gA?M&na7iBOuF9pliu&7jZk*#oUSyL}%AKCvvFafMr`aGcfdf|1`fKq2|12E(%ysz57?3iyF?BR!AYfnyB;C{f_{IoW^cJu#^dH}z z_x_J-2LRLt{*fvjTmk>?ruF2$_37i6>k5yG4=1&imM32CYp;2`IxY05vo{0n0!xWk$$?`D zgb`grbV9Q0 z;L$|@5(fi9eh2Yd9Mlg;pFnQkmI#CbP7eIOGaabe-`4|*eF_k2246!94gAoQYjgha z2)!D73dFCVfc)@r30NXijszAY7}T+oT(x*dS`=y)R4>xEBfGf6CvY{%NhGH=KPd3w z@e#Z;lh+?AKY|;9uLD2W9voA^>;Gfyoq{`y-Zt&nwv&!++vwmI+qP{x9ox2TcWm3X zolL(qGw*+GSuBvV}F8G)OU#tqF<1GL+Hm3nEKK7 z;%`Cm@_jM=pb!BAKDOH4dvfxmyW~85>e7&TH{c;ZV#{w)eTc74oIr6zr+Rze?msYK zK|ih#B1BLC21Z^a2sdEPLEbzd9~XQfWuQnxpirJK;y^xcB#v)=0meztOLvjiZWl&D zoiQY!9)(wlTtqPF2jMrU_dZ@<3$%Cij&C%&PK-e$x z0zu++aL%tb%fO!EM2|VkyE|BBkI_!AEajYVIwsk37e9O zO^-mr4>&aq2?&rmuz`ZVe_awM5)cYHD!8O16sYhw_Nku4ZR_WbDk$US%=0%%5ymDq zaNN7}@YLN`_0SE#%Kj%Em!MC8<@A>=4i3!jx7*JK(6E18CgJRl2aIp$=TF9uTGCJR z&ySbHc@F_WufugO)DI%UbFc^4x4|ZB6T`VFr!z7K3CNFK1=nM3#BvCCzc=3x?vikT zU8pGZ_5NLLQ1DyXAV{7Z1S8teQ!W2{Cj!SFpT2z=@BrlV#WXOKzklD)fbCy|eP5^A z*G=UM4zTX@3cnKNAQ2?F-oF5K89X3y;{JeOj^SR72;kYgOfHu|h)-KP|2QJNfDQ-X z%~4ojPLjBPsTUY9D32{|1bf6XmT~0cd)QAKNU3ksSHwfa+s>vR`}lW;LxxkrjgVJj zJE*c9I+wzuo2Q#fP#AcBVJOTKB&2ln)|As4LfPMN-ymA3j&@uvlMn7-vr(hAJGrFp zYrHYw@s*=W#h0m|#?rW!n-q~Z>hyD7_|@(XGc52tGeHcOH@LDkE-3Ue^U+;YJ4&9+ zlcIf;`UP$H-e>sM7<+%V0@l1@3x_t;5{7n>j}U);#rRVUvfb#7Oxs}Fazt9~^pvGz zNHWQ`M3iOiQM%A(6&rPipy&^r6m!B5Wpi=)NGp6EXB=(&@DId&p~b^AEoIoBuUXGJ zW=GTk2)}eZX}HNRQ6pEBvdoVFTrcJ)b1LXGCM;Fu)4D4-|DXanGNs!N2t5;y4>2gv z=|x+!e$c)2(WQ?G7^79zYcn>;kE95B!DXf29l@Yfc4SQ=I{}F+ZD~v~bjDWgpVbGl zyo;2Kv>~UM*(F8d9!cbjy~wmMlriGL5Z3vu9?#;I@l3Fnyu;QBiki=9$TlkeAtR~H z!C7L370dyb)_sM3&r5=MY~>GswSs|xm6@MCBnQVM!%IZW>GmS-g(wkf{v}VR;>f+` zrF4o(NSVySMu-q#W)r-YQDMj7dp4P_i$%kGMfk4E(B|8qYWb7g7tz9hH*nLlz8dEp zI|N@)A9s6HTE72)#%8q6PnfR@p}5(8O_`95mzs!|CKi@x&I|444N}`dk>b=fTvR}r zN|fTh+NpSzUOGt^FZ*R1BL9Ru;6tKjB17+7i#8rvdComViyusM#}ja%$IabalNJF# zR((8Qki$Ltz9xM~d21p1z&H~bRI7^JuK0|W18bNIdIOfznEZFzL1?7VXm*uI2K8sM ze%?2CnjO>jufW3t51Em2YvvPNv+2YnY9rPb9EZeMq{CNTi2Pzi^8K>NHDRv)1^P5N zhz_#NG6WdT5%1TYz@hymv_NSUIJWGQwNp%e8`W6iYS~W4$MbKR(@s+v7p2{;O$oR7 zHqmOhs6gQ=GH+lXd)wY^8M2L-}hv~@*C(Ew&><00A( zSOU;C>oQE*0qlzLt{;>wahVBX&-kYQv|}QSdbEJis{YYRPHKbcb5n|AJUhVXF!e_$ zMue60M`=IZlTz7oyI|KHDqcx}Sb;gl>+#4+|0xWVbeB_}ULNGjpK!(f*7nD2s-`$3{l= z9H-N++Fsz&`jVTJ5vnmJ{KW>@uUvFj$#) zgzr2yZ$p|so@Fmmd&G1YG;aS!X*+C>@5Hy9{;*7TmA*sc-aVEd711zJkp1vr?o;9T z(6PZ}%tyRFK~I?5=N-#WXDob#EjRPXZ8(3@=qJC(XZm)n1Fp%4;m!6E&QJ~eO8iU4 z^~UVW`K@FM4g!+taaj3RD#hf3abL7K4QaDTioe^-iO z{vkVRtjp@NUVGArA*;rJJgh%?J^X?JpBzu=;rM_Ui*HopZ}Qol=%h>9X=!;B)jYl2 zuW@x2kB`ayHsC*U>0)JG&g{nzWo|NI?3lw`Nh|}N9Ixa}QxEd9Mk$9Sqvy>$(KS>n zPM|RV%#vVNl~{PUnj@O-zTXbUF>|&0kOpLFa|fw`xeXc=nktb*Ffrc*4;HJ(?M^re z<{OGmxN(vCv@3Zj?=!n(dWCMa|GZZ0l!C7Wy6a`o~UJqSLVU$ z$wr+rA5qGL82rg3+iz3j_wO~-ulsBJ#;wp-EcNfnZuM-oj#dFK=7zJm#()VA^>eI8 zOzZhzcvzx~;>!M+kfP{|ML|6>6I=JsK^C=36odbIr03I>T}_3NgMc; z!lu&?)LeiH+kUhiJoa`r!pnehS$fR%FluV|_iG^)+D*8uOX-S93zTTHcu-nD@_r(( zZMb@>UIXprpP>#Tg}#+rQ^(fwZ)ffjiu_W&_4JnIK}}Q?-D|EE#Mte_KTJYaccHNNbGF5u#eIR1jFai!!X|uYq0nk&g~0T#9d00 z@R{NB{6Rxqd)}EA*?c8FJBPTnl$G@h&jua#hNJmuP5BB#xQ`~rv@rV|JePdg$GnGR z@$e+DW5#p>I)My<24KvC`NxUfYbTQ$GR_t1niGLrtylR}cN3SjQ&%lO`!IV&;JGB@ zE%xP*w()J2ARK<~=RQ3yL^0gpbk|XcjZK9JG!5J%xX;|YHTo791w8-XvM6?z;}cKtu-Iye~eW$inuoZjMwix%l)&27PRx! zpRz~9(f@pO4vAb?(+1%w2fG@VZkirH6?fxycKPSv_ncHuq@t_>dupal`Q}@Di#hK# zM~Mhqu~7T{G4z>Q$2-ezyahi?RO&KrEdE<+I&Xhe7k-2@_QAelyK01Ni_uZG&YePk z48o+59a@=rg1oQZq5$8$UYa1xL$nNYJt^Z1v<-~4{>2AdlmTMm3k^i53WeBjVC&pQ zfUeOrpqrEDFC0{in31Dp`H(gHI6(=VmzUyKc_XUqRRPZS@zV*`6=D8pnYqijQlf z*#h(KMwf(2%|uJ#@hyT8R_0cJtRJ^RYhbt`72wF6S9n7x9vVwgWMT7H23f6kN{NEP zZf)DpQ(|RtCbru5Q>R0!(fOCr^k9NIpTq*^WgO1m*ZuG8A%4#@Yk2C37`xQDnO;lY zemL$vNx@7l1FWDbj<9uT+SQ8DLfP#Yh1Rbm*K?ocNtmlyy2va6b3CiZg?^^?ue2QE z&XrJa7T#=rc_<^ZGxwEAF9ZVuWAHa5YK(#RvjFI+hd&gaHej!o*lgvEty5hDMK`kU z1b(Qir0RYu3HYf4byAfWE8L0N49Wb`3)WDZk|rfkdzhX>DNEKptY>?xV#>NQd)A^1 z8l2=(b}3bYHU(BBMwUCh#fiA=U49!=81+~O1CQoV9v8P$tacu^vD@?scS0gX9{Z z2RT|lxS^s6*YHiUWz23Hv8K37Z(8-r;a3kiv{MHdGgm(=WS#WJB<*}!*gp*)U8OAp z=I{s0DV`^L8N4Q+NhWh0|9l65k&NbjG^B4)0cOs0HY)i;xFbdz$d7h6qqeeUSQtpY zI+MJ8^#1K`sEQ3)j^0f-ucPLUgjvqg0bs!{t+1?D{LE9~Z%W^`n7vYp?@8lcDcN&F zL$dce&udxXHsQWOt*e>eUct?pXd46u&*0kU}z5Qd-?q7k)fzh=Qfg{1S zM;y#0DQo)#EJN_?MX$71cn_?gvI}B{2Tf1u6w!nY6W`b)opm);x4eun%b>V%KST#WRu5doGFvv= z(}G)Oy_N}XD`B~8j+w}&8S5>6Zz^EflTb6lM(|D{lW#r~E!sWVAF8${;jIw;w6A*; zt&?)fz_F3{kC@k2C)n7I{vt`z=?4#;b_Fctt-EpZ3k4$%pvf~L+8(buSTa#69MzYqLmKP0? z%B~#zb@Bt|r-v?|EX}u`V~MYXF|_rRL+_q^AS=t*;7K4&6Rk1heWrZpo(4Q>sLEQ9 z>qVv%gS~$3EUcryKcO=_w(dS5M34<>mX_r7)7eD^JKuZJC$@@~4kEZNkI$M}j}g{C z-uCX&?R?itb`rnf`nwF9NOoI$Ke^v~2u=zB&>W$VHtkgT>-A+PTBU@O$m z$WTF5P2VO#Auap^R=X0nryN=YyM}rKTP0h8;q*&W9s7v`zCGb@h6}kI`a^gHCYXjS zD0y#af^f{{q0A9EwQ_fBW;0=}sXfNq@2jkXXs;7M+4%2Tkae8I(G?fGPH?e~9_=tO z5%yYpu5IwuCN@HCgg+L%#}>VD#lf>7nO z4*cXJrxb}Uy+6=YrJNctcjQ;dgLKnV^%g(rgI~P%Daqtl_w`$0!+h4Z+2hX}L`?Bw z9KCIMb~O%n{ywfGVJ z4Ud{tOgJ!t%v=)Sy?)1Y^=%xK#c61b{3s?GY_xbyPxI9NQ4>Q!;J06S#;&r~j9s_m zML|veFS)PyFEySRU`zP0bKYW4UGB!j!W&Bt-@aq&ioDM-2Wu>2ZVviMGq>5Nld>b|^o_4iYsAJLy~v z`rCHG`R0HequRV2bKHj0;kM_u>ULCHRd|uZK>j-q3l8lp09s4f8pt#Y>bX`KtTM7n z-%=+rH*Zy#ywP-QPuG;=Xmu%VDRvV4QEn5dcOdjt_F$drv1XZVKb2 zC3Vnd!z!>XlzuVq!eOy88ZF8GhgX%F=zi_wv8PVRU5yXG<}}C#X5WV+x=F&!cs&64 z12}CfgE&f9TJ?a0o|>8r?~ra2Hx)a>L6&Fx5$SkzrfsI?cPKC|(hn2u~vxPzP7T#aj-oy0o&9apwHuP%@hdDDyIz1QhS za>)&hq5puZ-e^}>uX)K|T*^H92HcX|OQ~E#J6#C)5}F5OxSG$F?_*m$tJf#jQGkaW<03CAj)`%NN%!wAoI4f2M!iNR ze-D{;6w@hY{z)e-nxh!U44@R0QX^{3wNijRq?^SsudO{$wMH8XCEo94HZOIJpAtVQ z`|C-X?$R%uhsPNC<5|HRM$}1NprU)RVn0859l9|)R^tL2Fg#a*x7+epX_m-{EhUf) zKsCy*^Xjkk+^Fy)l#29k2 zlWnTPlX}Cb>jxb#r{=Z$~4%k=R(SFF$>BKB+8L z#0HGI1&bV!mAkJ+O5&9CsmgNP#Zu7rU5C`Sp+nEnXVYxWv|BwA>3VEKsl>3?+siUX zSxh76n!TKT>fQRj#cO3S-C8Pz8n`Wlb@GR733}8+?ncf^IFN2jU*M5q6+L7RaFS^t zC-uDE(@}i;D5Kr6Q8*h-gsqh-RC^msgMD&mzVs*e+xF;T*oAb`^{i5bp0~fcMhffn zwT$At^NlQwi8miqu&1rL=#4dRjBZr?{WDG*)Ie$44RjG!+A0809qbK>$DQm2Wvb6S zkbPG-w5j7;SQH{qvQu>rJN9Mt($^UiaJRuUr@&BE+k%Cv`|}rj@vCLv6ZXVbR#u$uTNd&zvU+ zgqIPO)}bVf+`*s7E>AL%mEkkrQO8Z5NYIEXU_l5$lRKrcq1UQf&b2yy@xh*fWg0B^ zrkD7$cTFLXPO8Tv4vLvvXnsS?dtvdmn>Y z2NV3d`6q<(?fKuRBpI7{kitvOdX966zt&nlr}G@rGPGmd+t{eX!nS#X)8U3;l~Q4J ztK;jRb)Qy>DSmZ4j8+S&5?1=T7Xa6>IHL2g%l# z-74(`Zvr@~Z+|f;6ebIvhqQ4&(l3V7fu?1{dWhxpNQor)%oJcEA?wDYi1{$ z7E%pR9mgK&N-yfkcyv2OXi!o3!EL*jzkPvi%#>!w*d;;Ym8DXM4ITu3lNwc-B{+W= z0Qz{{EpHL_La^16Ja|eDDLFUO+Noo(X0pgo=XA_;_CB=+iP2ICthQ4Ey-wgNb@WXt zqsTA8+Hg%~*G8A2N~WP?=g@!kIe@tP!1wk``637f;Jg}-L1`{4I5@_lLH*$}U^+SV z6?_Dxge*0t8X{B(jks#$Cttxm;~c`eVg|c3QCU#;AJZ^Snr~gDpmYWos?TYmHjJ@j z#~O^v6F%LBW?4RpjB_Nb4-%(iM*liHTOd^Zh?$^NE@kgEK|&%PWkR!_=Oho=Lt!|1 z|6Rt5DTdG}w>euwG!qu_V6RTNox!y48y^qGvhs$veZDta+FYGOFqBC`WG`n|qa!BN zEa$Vp-3D^7!YtdnI*mN(x_b8xcnW3OLs*zqy6P0cZE^2HMLuH@AjPc6J==8J_Q`=1 z$s#H`8q1l{^;sG5&YxiI{Zsx+IwVCY?nNc*1g$8-tz{EdJlXHj8oMwRkC#IGTCiDz z?5>bf1c62vWOTQH2ZU~^b3sc`-7Pb}DbvGDQ*ebMkM`!$8zb@^sqt_&+7h5c<2Kd4 zRRI}OT<^xocY)<|3DN%tv;H?){vVk7A0@*7J946^D5fGVO(P;Jrv6VNz#wjIVCF>h zzm$6atA>H@pX>Xd#P8qSITP!@GWq}NWBrfagZ1A_|8aZ#Tl`O+{ZHWc&%yrxVfOgv z`1-#iCjV8!@UP8*l8C|H;9m!VwTY>-p@rH1z53rvM+-Ca|KsWZUYb$;M*~RoKY8;1 z4a@&elK{jYrnxObQJdlV8A7q~F^O)mb@$}Ek+t>8;8h>r(jn~aZ zPis9R|I$H9bEuY3^6s>xEfS(U98qm~Im~~-WnTiKIKEbNV>EQT3jWSb9xDZt&v=TB$buZE)d=Pt56rwA%J;6S^Fh<%226Ez%HR? zgGBV@i&p$X^b_kuh>;Dux(Emec=ahb2-+&E(ReWXKtr2APldPgYOdw2`fd_{HT5Y@ z^@{Iy8-X6L^lkm9A9vX$5$kBs{89e75#`M|k|toytjcJBlJWCOD}ZOk1+#xxmtPnB zVQ6=~bgz8Ih zaE=pRB7|}UR?9>9;o-x{CoBQ`E1-X?SI?_EA{Gz4&IZG6%XzJmv@^kE<0gH%-9ro#UY{;8eB zhy;TI5et430|S=F1X@Hj9Qoi0=)nYe4?}s>imvFNfdrNSvX(ay{L*KaUxe(5#a+dR z5$x#ke}DTd-S0)_hXSh$6^a9*DWjXj{@FRDWLi81L}&EUOrq+8h|VE`0e$;^Js5`? zrm=0V&0Xj{2#8NsmKf(%*N(oajr~v_9q#4;5!(9l199XMApwEFgaZXDAo~8`pX4HZ z>U@ED%d;967Q1sk8eGSXG0tEfU5?q2gJ-$zXh@E0eE;^bIDA4SG z_Lhjx3UFwmTEctnJ@#st{u1&>glg_umY)&eMBF`c2qjUV2U4E$1;TBk`Mwc?g$8jq@r(Kv z6$a96_lu|WSGyx5jh?so3=$Ou>YDi$DxfreLPQaL%cqB>xD`M_iahI@{qY|F(hd9Z zr*s?f`xP19HT@$lLWNBE-B7hU)ebC>{|0}>H&h;)j)~jF?50fj8)1*EjFEyL3RyUt@1yPZ?^=2-? zseSbA`EAv#Iv{^edN(>#$YLU;pW62M`f^*QV1|osfmVS=vqvEkuUozR0%%>SgK}T@ z-??-Hm=A+^hvLac4~0*CY$7RmNtnC2!^>)-ftAu+4F09(f_S4U^l1egK$&~!>*k5y zgkysfUyPTBte$deC8wJ4_Lh*ed=+BS{t&( z7aPUDZ<~oE_1)%F9Rq&J{k7JU8#iQg9g<7!TYAsfQ6}bjc?CHkM9^9rD=Mj7lzq395at8LsosrB-UMec+r~6xpXpZI7BNXFUj5s zg>zVOHJgp@&QE*F*K4Hq!!@V<6^-ikBNV^tbxA3<@qhCMe@!(#@kN#EATTlLVuRpUxGcKyj^b zY@;~M!gysDH*^u!zh2dXyMxYDaB;mW&!2U%86fjL5}fXO>KuMFj;!-~bR23dBEi&* zgN_fXrJM@-9U8zv}h+7&JrTv%BIuH90kAolOWQ|wHya&9-~Jx`#rzCjtRQ%3AJ3^mV~1@Q z+O+8h&LIKAa$PRrGt>;6 zYZesB_hp*P%EMYYPv&_u3V*ly6QbcDcY}!NkR!Gd=ZVS1gACzn$vW12g$x*q7@lYHWF1}vqxGP8lwAm^YB;4ZH@4^axHt+Q~_STull zfBI{p&dEMaSmnhY6C~5oSm!V_TfbkTdtxsKN|6&mYd3^!757Y!RZ$ODL5F{mnK}y zbT*{}&eZ4UcdNhIhb2I*T%h2w0*{bYwGNo~F@5gM3ubLp$xvG;KLa!4CfX)Y&Y;J! z)S5;KEwZmLDC~soB}=TE9AbKWMD^$<=)4@DwRvM>9d>2i2Q^9DJ%7HG*Gv{l8QcS0 zHl=a?hR)DbJ%i;Or9}hlMXxDIQcZI%LN2oKsU)c7H5=L@JR`X40gPVtP>7G^2 zBJcpVJWZZO;2|JyY&V6CnJ^oO_kMlCq4t=<`QtP`HpAoGwDgHpb5xBjN{#2j2{Oy( z^L7=S?u#T=ytwjHdQdQ>IzwW4@2N#nO^;){7!R?pQ`%BKb+HDs;(c{40woBa+`ttr}4; zBzsxqgtjI^PU5!ewwS*-Ih3$=F*pzOjNquf=#NCeb2VeguI#H3PW|DGHaG+Z8V;cN zATv~)z+$X-ZFYh81B~ZYl#?O()8F`Z(Bt*}>nZmWFZYTN_sN9jGTd5>iBR@~;E1t> zQj9((TC8PT(Qd|yG*YW;sC8LNLCM6{7I4NwVEQ2}wO4e}Am*xDW-6S%YsVrT{cAi~ zk!tbwD<1r`!hU@RRB*OlORjPxgbd!34nJ7ho|lG)rS9-(^x0D7Kz9SuSb_lbZ-5Zq z+4nYvE`v&O;v^d6uuB$yyZNTtF#Dq+iH+9vThdzVoMzP7vI+6%LMyan7A}0=5%L>-<8CRprH7SEImJ zG$Oq?>|p9Fs&HTi-UlWfPZcve@totvoU$7g`5EnMV{R$ojJjY1I^pRr=qPxiK(B*) z8fJysUC_WGksKVD1HJ}}_$dZIc=P00pT%KtbJ4HS2JFYpT_t^K54PhhH35OlC-fF1 zr8|QL-u0L|yBZeq(+~963yw`qxOXG5L`U1`3OzcnQpA?Paggp##bv$Do_^wWjT}Sz zluDvm!IPNi4K%CdLQe2W-;YV0JefomHekD(j~+{d~9cE3$5zcCa=)g|twY`o^MjNHT&T;4>UyZ+;>%|sjD2LDhk z(9R>iqL?q_iT+^%e>SF`feHRBQ{V|`&~xoJV5BTzv^M{2`|Wn(1wR%*UBo_l2ZE*b z4?O&4`cWj{h;j1EYDspz_PC%6#O`}f#M1t~I9jD1pI3x(5d632@l*?0Ko#9l$_+o| zY!uG;&RPGHESDaGsH5A0sefzlWVe=ys`0Jx9DlE@!MN9>cqb8W(3`=-Il-d-K~?<%`=+ ztxLYW^ht10h>6KJ^duyJdGf^_f!&RliXslhI0%W)3&;|XP zh;yf+8b@H}9&MFri=m!VO0ptSMt_mCOYS(H8bf*fFAY zz7^^83Hq_4ou$XnY$F>^pm*}N!&2u@aiZ>FJxedc1pUn!DLI++Jw>+V<9sdv%bFv(D0r5A zwiCTj{u9U#E^HGUryuKi?fC3l*GA{Y`>2VCoR6iGWoi-I_|xUFsGN+(3bbuhnWF5x z*Ba&}2Z8g*HVq znsXf3vzks0(G*qe^K}D9zMtw=vL=dbceI8JEs_^GVX15LRTj&ExVcda-__0tGpUA8 z$CWG&xeH2P>;Y;+`Q7a|x~Z1vc#}vBMs7Tp^eeO?w>7OmCoO z>yuL0ji{1!2#S=pdeuJ_06vH!sywMzvSk}yncNsHAyz}d18V5x{Hj%~wxXl~?*V=` z!As}R0)>aL!$#RxMatSOI^fWE5FhK`@hO$XTuV>V{2Y!Qfyc#GYvLR7M?(&D-T9KE zL_3qRA7*NbIkUqmdw~1;<9kOB8U?N9!-S|Bhr|>ri9?M)^h?&>rcr!nn(`UePt~OQ zpj$c4XJ{Zvj^BxWyyRD>z;7Zb6Q$ptZg2_bQEu~*skrB?>FHJQStH0HH6@eY?vv!X zg&urn$e&y0ojWn`_m$d#bs3zqbPw9VM<)$nOA!#nK_Z~HoCv`iKI_uL!}}}}VTv@^ zX86+wOb%PG<|kRfQ2e!s`D|$YPE)>*_*&;1dW-N+K?G`%^0lHTq$Fs=9em;qPUKW* zzly*j+I>`f5-LhJkc%xvQo?Q$bLuZV3B09O{|uhK454Nnrnk~~MQ_yP2{$M5K;nsq zvA*@%6w1@|^x~|0BB|3J2TCz=d zjYPFmKr?%KsP$NaUAj?Fm!z?-9{OraDP2R%!=PLO7g9l*ilz5PJ}2@ZpjPzwZK!^8 zir%v$!&Z}t-tCorNay_a>=Z!%1$Fq5SO2RHx5l=pZIP;TBGEkg4A>Q|u=^Hii3YS@e~9Mh;oZ^yF2LsSCT-`(=>)!s43Ed1ank_w{+=7ok(6YJzSLndHM!O^7*?5kxNQ zxlzL5wbut?VqBit)||PvLKw^pni`E0{|)|Ba#W30-VlhkxwsrTSfS9PwT-B2&+M}DoZWPymb2BuBq~Gf3s6Be+Ds03Q5<{Dnokg)axaG+6 zC)s`|7JT^VnBqT$BPm+aHprygAm(>gS4^F&)yZp5_U7n-EwmKlg@Y@JS=SKO@#>pm(TV0vB6i~qda{2!59_hudyf2QRh*f-#(+XV}V zOdNweEM{AG)ebYH*>3H*wS`O&q|Y35$flSFj(Yqz07fm9^*rIanQvsyX3<(rw*5j# z@h&O~TAzqd-#Ut@@ZPnmm|f!S+os3-=@iO)B*Gif;++$(s19n8h?$To8wkPlZ8a)S zJIrCjn{w_Z(;-(B+e%VGee3MkaKBu+Oq2dp>80K$zhexqZzEe_+OP-^{24M)Mxqgk zA{K%*FpwDe1*ueHYUxS-jYDAAFe}-eP~u}IJMKV+!4Av2%YyoBykUhYh}7jlJwGNi z5p+f`nR>u(N#=mFpCJr+`$cI>)=G*N;19%FJgkmA{W9)MX ze$}_1U(EfT`tYmKi;!0=pVMcX-5L62nda7!!VY#4$=6RwXkyJJ>OlYUGRAEiw=*iQ z9X3&LIRSXNZo4xk9Tzi)LxBX-nJ;?vkJ7vu(xl*M~HjA_Wy?gy! zSmz#CS(DI6QuRWkxd}Mb1Rq$s(9l~43tY%OHNefGW}e52Wk>Sivpn4tz@H}W= z^gxsF*C>i(#h2b2RI^h;Tkx0JCfQb-=I7s#W1u1wR+O5V^|YCQ+Qyt%{d9ea)Bz?HYL!$Oz8WJ1pkuF`Ud*H-Zf7qN!ta~^NI zgu)TwMQ<4yay|4_5PY+4tOrs%DlTtBMSYHR67G>Kd;SKQpvd$~Iv3)=wf#Zofb>F% zEr1wW@jqm&OHO}%|IfLvzcYq?9LZ&BrNQZ^bn-dNP zEICND234C5Z>F7>PI1^ODm2@`^~X%P)!T_OfNT8;@AAJHm_pMxXfFg4CM7(mQhF4kLq^Z z!X-Y_=Q92qoOfp-)NoOj=;D5;Hx(4A1~7~k(;!>Ky;=HE60hYbD4E_D@{MtsO0^w9 z5;ba5@C?TtfC+|3oc#Ocjds7)E<6zyq&owiR&+9Q2+R8E^sF#e_X<=Ly?-wRI^s&q z?V9Se*%2|^lG9fFJnh*XBHSqUi%Nqkns+uFCpj4V;woI>uk_eo)#Qll&U7JPq2`EJ zE^1KwLo>X{^R~U$nfyHa7a=|X!?*BfDX~m7^Dg}La+~&}tDgjcVv1m)XJ|vY(&NRE z?!o(2rp`x!a|#t)JmQ5$nF|?p=AcL?Fm%XMsliU2JL08Px``OI=NrMY14?zqh@CThn0gB&>r z7}`C!;+VXb8Iqp~Exyqq>w2f1jCAXPY}l)`2u>KRihLFIah{D5c97`VO_xDzg!2yd zvc#w{-+H$%vI;}b^Xpx5`63OOoi7x@_Cn=Oc^Id$JgW?Lrf9f$vOVXYw4?te>dErP zz>)d<9#Ox<5riW@@()}^*WAC0D&Ln!394agUt=E}vH)KPH*brai>fpFbFNjD50^8| z1Dm~Lck0pW5c{&a89BN9=d>K|qcbtk)S(DFTs=1gshM#z_CQy0wekQl>Pe`9)nnV; z3xbzES03+d5_Yq1ypgyA{IN;c$jRxw)`Y(wX#J!PfOVoTK#5t0GwW(8HR$j|l*Ei9 zfQjPzPKMC+`C#o4M#iw{)@S8wx(sKDj-P&8^QIj$Hi|A%;4s4)n3Z_B?q&N;F6D>S zWnOXSO_p(uN`pZ1;EUpZTew>czUFnCQRbw(TH$I!!tv&SpC}{~J(29PXhUrkn)XNp z*11pM>Zx~JNSU^(mhyTF8gVMG2f&TtTtQ6ewLB%RMVcq@cBxjhvq@?`pDKH*g}=Km z@ewDCO*(%ac%gvt7?0a6t263b6fsU?L3hJ;$amsPzLYri2rOH*=w|!i#-G`Qf0DkP zJ|hU{3$J-ogIcQ+Wy5V34QvaPp~P|2M-HgytTwTkO^gGpv? z>F1#b$#~P+sO_WV`t!F+EWe2H@ZLMUc+BsZW!R$c3mbZc7C4P1WrqA%>&EG_@Y?$8 zZc8sJZ&ivKB6t*bDctL(n(${aedtB+nSWvk6QHGkO+e8(Vs4DT{QIa#D|rD^$je? z7QWT}xnk4UE8swMtxvpEJX2iac4_ogl=@|4S^DOIVXnMz{gQ5BUb3bm6`GkO;?ekM zRmS5qST@vh#ygQF=zPf5h;b`Z2n7#R@^67{OlrmC06#p!@~T{5_wO<9@_BwW0RsW6 z$5QIH>zIbnwh3y%XAoITh?YNT6~>yLKnbjuajEzFp)XkTPTL&Ti$PvvPbiZ|4-qos z0IK~Q`Hq=QZbk4CheqgRR?Y^u55c(AokXQnO8W$2!?hisg*GrZGICFmhiuj*G>xD! zkazW+c)Zd1rZGvjVkc16`-WN>N_`aRmx|-Hic_iLq^o&yQ4=H5W-_J+pW;B3GeAv9 z8^nb(aNtLtv-m-zA))A%(om_i6UX;~xXc0w=Y7AdCwpU7QCKm0==3_~sk}8t z9GjouK$_{8Dz(gCc5QCM(@HkQjFfN2q_DUJ^z4-?O{&d8olhu3RGFofp^Ngp;8pOn>8yw71u>wa(Q2XN{^Y__AnW$Bw+xqQZ=6|sEPQkgvfxcyIJ3GmaZQHhO+qP}n zwr%a$wrx9^oO|bkEWvs4#qibDqR&2A6s?> zrCCa)Yfu+-U~;q8qkymdBNYrqEWuRUCkeA_fvz7#M^0O2sCAm;imdZ}h+ufsZE_K? zlXZMiqLnwZM*M!>vmhv==nQac9KSuLaa7H_JL;U~VyUmuOndV>^B)lo&d=sZ+sDIY zdooRQ5E|!34tH?lG7i>6L-L+nnXF>C0IH?H>wM!53Ive+cl_Fa zEjRt2_%#U;WmzTRUw%zm{Qs3-V`TW{*M4Iwza`7xAkF`%uKce!70YkT<-hQ2ENuT( zl0^R>7sZ|Qt;`MiZA`6<@u+{>Gqj3M#?~r$|AC7AXM^@XG)eyt!^V$CD}YBU{EL$P z{sfQK0FTzt*4kPhkJcEE))J4_3Xj(27i}|kFt;_rqjmV-xwZe97W%J3rT^-W`cH0+ z>Gvl7lUrk9Vg3JLMqy$8@3}Q6P^Cr76L0Gomz%ZTuR0!pv%7J1!m7M+2(|?D zQBpiex!FY}RA2}Qh&xCK2&B4(^TD{7+1^Evst`FfmvD{q~l7vHN3eAe6XPfngj$H1n~2T;agTCe8r* z$ozc!9Ru42vf^#LZ0JUG5#D@@`L`O7HZ=hE4ncwmw;+6;N+BGB1>{z)r+!Qu;Ov4( zH(zM`!N6Ku-arS|x6*e2;2iBkD=5B?0u&HG3mbz8011Hh4FvWB0Lq{N&Oz%Bev)-| zHZb2eAU=yl@NZw7Mc9C?9EMoWBXQMF9AXEw72rVdww=>Zm53xe^{S)G!QVJRc(QOh?Igi@BsMyc`@Wt zUs&N{d(HaqR>tjszO@CQ{r4GA`tIPLq(Oy1@XFwCe>?$wLO*xhekdn?BHw?u;u<;& z4{RAnY(IYV!8rS|yMG+`o|s zPC%g^Apc|8+f35ek+VdAfvo=!Eb2A&uh@eK6y%3sU9Ck2M+=Es(+jli-n z@RibIU4$a=g?~wf5vE@2{g4X~L|E=^k(U!f0dR2!^+e8t@J|o|=;2#j*AVRXdBEwL z0T;!S#|J<$@%4ipNZwsZ6D9`ul;~CJC5E&I=w0$9!i&iKob?q#;eOrg9rkSouy=J9 zetOMhFZ=#Z@$H3^D?>*SpyLhn6ANBn32n(;8lQ8&uZfj3#4XCjguahK&p5ybPb#76 zAv!ZQr7laQoOuCGp1SI6I@F$a;FUMBZG3Hhr;}a|SYj%ksJg1`eJ&{+aP{2&B?Is0z0s zh)_JaDC871*xnK*^*+4TL6XZwXZxYqLyDw!;LRz5v7Jeu+p*6KoRY4T6>Z4_JUbJcVhfCB(9*CMMWiq>H$4D%|RG6s}sYo5o*+ z1=GyWa+mWiGL9*ildV!j%{SiMg)V;@rxr0;y}QT3!g~w3V=-6s5MS4^k?3&%4y_q z9br(l7JD|LjxnEuKF@T$g8O$(bw#7n8?_LtGOD<79 zAhbPJx##K;wJ5|QO|r4?{9LP40grZ8iZgu+^!kP+#Jg09J*_UOYJS}%NhXNCTk@mZ zo*MFey5zA3i=|?WYYqqA0%HJhIUW(wR9N{nq(5fb>NXj7Rpx7|^}|!(emZfokC+Lu zvaf;@C4!Vco}8lkV*Ozt+hE72rOEN|i5p9ahT$3b^&l;|zel*p&DQ8_SV*`|XKG%l z6F}*`XwQPt0>+<3c$h_l6YuL^)JgD%2>*rUTsd!LI7r}nx1(RF(mZM-N-DT5-8Qt$ zBpS~VVc@|hUIZR)*BBnQWiDS`&PUc zHB&88_qoX`DoSO3LpQPN5AOsQg6O0QfDtE*o%`o1Db=B~(brCG0PypSVJ z`|y`fv(TXEkKIWU|6u{eQ$}08Ol&U3j>M^(o?7RoRRlQ~HS*u_ae4;B@m2{i5mWxA zngZq8H+AhpO?WKC1mojA?<*o@L~IE2kw<%z8&}22Qzb+fiYWOylVfq2Xz&y-yB>#u<-* z>g5HnJFDt5@xWl!f0kFDCGe)Ph#_OTYWj`)JSpsl^MQL;dqy6VN`aw0*w4sb=N%+7 zzE0Zmbe*9$rA^O1-tt*sD>y%F4+IUm!0+ppr56V#*RVQf+uDR89dP{B+nkcrGD)of zJ4>b{0W}+i)8ign%q+w~7`zXq>|v4?62etMgGC@4pXxEE*qdRP2Cn0=2eE61zyj* zgGzd8M=PQ33^6SqR;&*>&BNgF`U^gL1W+PQS#L870uceUJ)$vF5hiZ0xpC;w(Bq=x z2!=38GSPoKl^XtndL`FX-2Xvt!A=o;j6Pvsb}BxdHs6~xQJnL#JXdT#F1ge{qLzV^ z^>nmI<35tWR!lJ+GL8nN6*Td#dT-#DtTw|1)6(yoyj->K&ex&xh9Iq|9QW%zA*5cg zvJ@SWEY}ZLT$mt}oNbu+aZna~T=wv}B^Fsfi>n8cMd5{3=OR4F2X+SE`&Ckoy75wG zZ+g5)jGlzm@YN@@xKb`mIZqE=G`Q=#e~b;N}CWmIDDhLsDgX-w^_ z_%wtwTfzw9TQ6T{zZZarxNO}JQK4zwBpA}krR#zvJJ~Wi98GP0qpQ+s6&mBMTP`}i zkW|v#ohQRzBE99n&A=+QPFG06iXbL!e;3o zVs`By!mv{{q`GyXo%!7}rM-99g0J3#7=eE~-{%L_Xh;{8Q_D=gZYw|C1uKIYLId=h z2{?0wRtBWa?2^X2MOytm<}F8?1%ootY9v5-+4h1ZY20Xv(ypt39xK{X{_-s78qnGMJp&^I;-pP-bt#N8RX!u zGBp!=)^*X%JDPHaO3~6}fwZh~XTYXVkSG#Eh6Bx8h`vy`L&u7Xb`XowcZbS5YL738 zvr>}5iLCvFRaD&)$KV8sC3 zLfc5?W51!PhwWrp%>vY8syuVD^6oHaVIBa&dvZOdFL8_gm{kRn9(~%mhN(p$|M{hP z{<;x7QPNes_}rAX>X~$bdtxt}iAF>Re432c?eB7U3*Rk-FVRmq-hrmCjm|92zX@E; z&Oebz<5({{1~uy#J`o@4tK^^0Tdw+k_Ij!U)TV=GmI^M_%LgVs5! z7fuJTlhnhsnnya6WU9tR8Ei*E={sx5-qWHgTqi6GDRy{*rVo8lJ~k@Rk4uZ-!JV{7c$N7Yn| z-g_>rrr{u2O=RVFrqybac*FOU-3b5w8PT&HeI9AzLhI;1Uwh}7s;>vDN>ew2Io-NX zUv5r);Bu@5i)18h4zbj}hpQtEmlS|fzb^2VaTm!cE6sk=$t3XAWT~&9EIEVS%3viA zq_vZE&oe+_ZN9-YZEA1uu#4;cv$N)@9-^<0n{WiGcM@3}AwY!z$HdhS6grH;oi1Im zi)mlg1(k97@WZ1+ZTksBoXj?QAyui%y-+0epnUZP>=5DhN&8H^l zZd+#ZlO|#55bI!a37$iUTn+ep2bTAsH0fi_Wdb6c0SP#D(9dB=%p@ zQB^@|M9 zgfKXRkVt6YG!E46J1~DuYE7F14A~L-zMhTD4J&tg%I$XtMj_JKZC(>mQ(kI63XtHW z8iLYbi87Z^l}klbPkzv@3G8L+O4nZ*oQCebKTs-UV)yjmXf0ojpr|y=zI2Jj*8@$$ zHpmIDTYMXaO~~(623HNNdkHZ2yFwmTjFM;hdupFzf9ZU|o@|7s3fomM?WV?(`nmNM^H*H2y5RRL0x@Yk})CptVe9I-=f6 zEv;$IA&4s2sISqN(iB&5GUwtkC{dbI(umVN4!24MQ8n0If|?R$eD;bVnIBO4D$_T# z5tC@>rg(l@u4G~EVR?19#B^4|8aqEe_cks%IN|>yXyGqEWXKC1V^6!>2R?n#(qi{_Js%(p`yX0K^DheZ!|_*1u!kc|=L z#ROlE(K^$MN2hs7_i6SL$I2UYFm5p0^~qjXRD82qxUcy}6DYZ(g713NIIAik%d}8111qKj*7T9?9dp18VMT$SvUgu%5&a=;=~50Ny0lh*o=-? zYA35p1??=(>?H$tmjF8Y$uV+4htGlukLY+S;paDLvN77!KWNb0BEPXRW$g9Sv&M1Z ze4XF#x~@iG)_|$Sm~~IFUIUYcd*FcwwQGOpIf!>W>-@~4XwK#eHGzi#`0Tnxf2o+1jYLit0V`$coz$>xD}6tW{B@8f!Mq>tm7 z8!3GzHc}M03v+DFb>$DT zJO-$B9jb~=>KMO~|Bv?uNttOG(mVTrIXIk-9c|?~&@?h;di>XcYa-EjNvIuQFWh%SB1QK1; z82hFLEVSZPH_gJILarhkM?bU9EN;^XIK)y){R1WKRhb0o3a_WGu)gpE{WC><{nTT= zRMMBN&=pWVw9oJdV$N8!w9Q1#mjNAD6p1k&Tad*l->i+%Xqjk(2Bf3eh|Z^07NfxI zdGCDVBLmcOJlfqo%^jF1avXXofz_-K{?{TX&+VI5p`Cp2+=r1xwnjK>FpiX-4(*{6 z2h)OO>}F1M=@a!%ijqhIbevbMB0@u3#{x->`#_amQ(Z$x+dL!xws@;`^qJ^1dw{|r zp1;wBriE1m>F3RO7t8*Ad=R+O1;hpYs+1s+4@qDir#6z$?^woO4O|}-OTkNlax!O& zvti&3f?7y^kpu2IOh8CF@zCa*e|F?>SFV$!q0i;uTJSj^@n-1pS{~6g+l#;YD_kS@ zZK+^}6DY|;^R+f6Nkw`2L#LHhx+uobW&*o=VwqgF<03X88DOadUv9;D@Q{ zdW=p=cB$jckC3zdwBdSI29Kh^DS4^fI!dh@%!RTb&0n_s!HvJa4@o5VY-p2_h%op{ zqFR$ZEx|?^H^p6SyF)(h^exT+#^a85G%1lK@gMEui(FSD`BPqWJpD9#J|K}L?Ot0h zqHgXFcJ%)|K=XDr~qnXjWs9P)3w9&_eOCe)w)e` z=pf+Njj5{0EA#ex&ARoWLEAiu7on($kz(6RG>zZ#$k43R-u-HHyaRj(BngGl1dTp( z3xIb_l`2LatKGkmWlLZ*wLUqJkRzD@H(z(f0CxqqftFULUWCiO?n^dX2cmv*-IT~> z=_bL_9QBrsRjpNS{G^Aq=p8S8wLZ-8gq*|Sx6Yomr<1-8=N6*f%J>~LvF{eGV#`nL zMtIA~+h`Fr9Y`{dpx5zATeT=Kk`RLHFcx)_UfwGiQ_RS-vjh zi_RvzIJNb=BbYNiu7O-SXJnsWt~UL?;TrTVSjAfp4)M|PJRQj8qnb8EBrsF8fA1+D zOo2!{$=g!-*q%z92dq~|>WD8i87$UGdRtYgw5nF-%2lao|3ReAj|}XeIBaC7kR>k7 zg>@J;`P+%+Y-~83#|+~t)7&f@o#7k3C0k2a18hDpOGi%NVa`5ib9{pVR>+T~XX$hR zU9_*tWgGyj9`f|J02EaxBBaRuQ*;X3&v4@2)=36vGGGl<{hNiy+yhsLbHP{$#C;Kz zUiKt(GzUF}Wbu_6ng_>%Ua%}E+3}d_I%^GNBNu16R~5&*!Z1f~$vZ`G6@=B_har=& zTi`NHkdS91>;{V&{1{n=|!5pV_u0-Whj6CvS@7$1gCbn|5URvss8 z>3SZ}Qm)}5ThWO?4zmlJ_8Wm@I}iiWq-qq38FL=%K&H=kY?4q42;&wHL%j$?iyy?1 z$P;@}8tRZ@o4Hq-hOW=~vB5#-T(JUc2l#p^l6wd(ju?)+99GJ0%Hn9_6=_Y#crf-7)9@HBpBj-hV9dV>OM)D8 z;TrmJ>mVC;w)!LPSmM&a1F7k$p-FLMw7^eRnS+zXWs~M=E(e1eV;u*B4h0G>@{3`C zu%<a&Rh)_}4lKDE4MFw;P!~_`llB(?` zGWwy9iseF+bwxFsjSwCm{r(VD4stb&4`LaRd=Bigi%*V^MFYL}5pEvo&##TBP~F2s zA?g%K?r~|Mvq5{3+$m_o->q_1;|}PlhB%yFO;5?MDZ-sOmCe#gl0)zy=xx^DMEBUO z&Ap~a^OL~5-7{b*GP9%$jI|T5Fds!QD&ig+v|0}TvWlPgeJH+#r98^&S*`mV<+Fo* zVp{M6fV10~dE)jQpkXsj3PUoqX;|hhUR+M-wMlQDfyG$ri}9VH0xa{xlWcQRfgS^d`i3u}6OAKk&`WFF8n`K=gR&pRjyL5RQ};%S3R*c;mU=eqOEb6 ziA{^<&LWrCFx44|LC5%g=;6tN7ZR1tUAcfnaGpe$i`*bXoF{im^%P%c6sHYT-X>3O zh+L&FM6Kyb?4w}lku05F_8aahr8^m=`P6>DM+@4{i-_;jv~a$vWIOU{WqPd-9nl$c zG+=OpUWeEeapw7}>XQ#u&N_x~)){H}49}Wzo=<|n>kXn6sLXe06IMz~{~UN9yCQbK zl@xtuG^7dfxII4YhpFnT)TVq&R4@DhOiK*y{&!3Jef8WsmXR_qKZs`A! zE&5-#`JWp)GwXlZ(0_F<%>Qdq|3B76=;@eQnf_D$@?YF9O}`tuH8P8gcqmg@-#m_F ztCK4$Rb5h@Bo*vDewb4z9v*%pFs{H3U%}!K17_-GJpdB8(Z5d8ynl4xp}jd{_}3HzLN${U1KCQ3c)Kb zV8XN>!X;!PP=C&TQa*xTKqWW8C@8=^6wn(8I~zb2Ha5@?R1gO=P!XR^OA3H7iysgQ zkPCllauA0H$A-p6Urx;13aMXz03rYi!mi<4A{>G%0Oy8=A0B`)!X((`ty2N$=-)iZ z<~qV&{c*hk$=^_V zfS+4f0CBLd@LM};z2R2)z6tzjXma492tx~K2C#Jv&EUXF#!0Jsf9cQwAPn9(5sYqt zyvM=Y{jIL}k7WUUZQy`L!zzLKWI?~Rb0UKqs|hEAr-qlmUBfSX&2u`aVC$2DIN1E~ z>Chi{UJ@Ie!8Ey=w-Uc<$9nwvw(z%ou~b?RBrA7>)jBvDECsEywfgTBd_%eTPk%AG zemVenaB%Qk0Ca#$5CBiL)w-XOm3t?UAA2C*L0QyS4^9CbKowbGKX2>mKG~nyZf!mr zJ%GtI)XR&n+?b!1S${si;%ZPBJ-C*Z;JlyAFGw)WFJoTVowa3Pz0tcOZalw(mmOZ+ zf3o)tK?0ZDKRDl}J(qthGWHw(O!_K+#>xr+ode#Q932DHIo#U;`1K0^dwJaZ*kSr% z+SMKY;a}ow@zuTN#W=!Ok@M@*W#;-VS~$0TQA3CHs)ium?vR%8OQO!uma#>-`*fYOqDJ%ECuXEL45B^~rub?ubeVQst%eqQ@qNq60X%fVmg&Mt_g( z1G)j{vMeH9-ifXQxUfK=JSPFUQOuz0fjW!)aLeo9`Qcn1zAwIzzQPX-KLxp|tp;L$ z`@7}fQErg-{{Y+Z0LrPJ_yX7f0(>k?yx3*}_g%j}Zt`9BtJL`x_Vv#73f;kDvHEQt znS+1V=MLzxOz-}%-Gsv(!+o(L^7?H-Uw)$B>VDPPIs5E~e#u`dHhvrbxF`4N!PkMl zPogXekgZ-@+8rndze>6;N8`uaufuMkh^X9Po{+3yStSYmyN~K4K7qa)+HN^{u$+fE zF=#}2+4gi+CeweqJBMxMaV@F;Q-}q7x8h#~F2bx$Ti-x+0sR)e7DD1=yxX@`E zX+s=ph_@U1;iR*K`#k7@oX4P^Xr__JbmLfxwsk2iXt7DP19p-Lc%=~;u>X;^^LFKc zGSUJaso?=@J>Hj%eK#GV@d@HIvSm$TE%6o)&%rl4>u4=-J|vMr=@1MZDkgk z$47@6tzhCst%v3NvWB-aw2o_!kMR|pQ9=uSR9Y^w6se?-3JjKz*&OHuGM8z(v*cl~ zCm0msGaOfZn>(P^)WI&@uJ1A&@9lXU>Bh-npso2+y~M*k$hEAeE7w8Z2%b)|=mYN9 z$cTFpi`KjeWu)Y;EfJ%;x@-8P{v7 z;d_Oq$2Z3D>QeICYt3kq*nMX28fLO0WvpX|LXx-I& zj`z0$`^6>8OQaUH#%<5JhJltzUxk)T+t0-!pqn_&0QfmC-3-Gv zWCfPO<62QYG)P&{pIoh=HQkXc4eleEulAFIETTB`Uq{9oAZH!c>{m(x zXh$>hPQ)^7`x1jyOq;rvZ$42;H`M}mG6 zD*N*XG`vw^hLpQWjog`MuN38UAf*75A%&JN$AU3?)k39kvzX?%=4+W*37KA)zG!1Q zi=osH3+veuA*A^0UqXyo|4KjU0V-&?nwXQK{OK*8pF8bH*y9RE!I_`r+w@2F$|{aM zI1KAoj@{@v-O8OtaGN_i3JAWOY0K9x7<-Di31AldFHJ+jr%XTpS`2LVi8nAJuHGhN zZ&JafAlO=HSJyTcP}+rFut;knU8h_Bkx$01db~Joy9p+Rd|MpUgm%yeTXL;4mI&8}_Z=_j)A--I40y|ZqBLy3Ibm8D3XZ64-PoW-@T-_aX z-K`CNUe|jQkAPVD>FmfihPYCZ3;fhk!ru0`{qni=itLMiUGlW2p>4n%hT29KC@For zH>LG##C~f!-i|Gap9HN6%%D()RJ{Q0$?aYTtYwl0Xw;|l{@`=Y`P;1UI|AR%+O2zZZi<9vqNiCby>qZ1Ct zfVm?vznI9q81CV?37e68Ce3DY{#lO0VLx?$t$KQc@ha17sfgVXWXyR8lbJYal{Gjr z9M1hVlDKimF_nh#DtNr>Lz51p?4tB3hun4CxS=L7)J54{LV;wvp7_>URo{ZVtgaE>sz;hQaXc%zm5t@iC%eE2hNiuYZ6j; zz?DYU;e3%98r%3Nm#`rl>;*a`430SVNoVlJ_%m+q_A;`zSFV{nEX6;*#F?nTnONt| z=8Wzi-jwC@;7jyQdbuHwis6_WT0m z2=O(~M{$mJOmXqE+cjE}cQo9!VYs7Lnm6L%r75znBG!$B6B6?0cGTMT2k1Gm+Lr^x zKc&ftwA72>&4fRr){Bu!o^i8H`v-XZsr~49?230Dt|&V0O$?5$?S;N&aW4XQ02+Md z9O!c`F)_1FG6#CEY%FLx=@gk3%MH|$guFkg@u>>Ln69!5Q6RZ&osv7La zt>pDn9Dul&n3vTP8jPk>BNByZWR|Uwq=_US(JI%q{F~=|`w{-FezZW9G8}Kspulf_ zZ0L!s;JI2TtMQM_@Pl3YIsvrg|*a|vZR&1^J`@l%}_IK+uBclBX6lZC4c{$ zp?FWnXWLqfkH+grk;Mj#@B>#EU~cX&(0ZQq^aUXy`s zt0^#aCEv|Jj1pkj##L4`P3Qvm~E1Hrhk?dqIeKe0a&Noa9zfZwGH&7!M|A+p0PV+j7TUc^lrQlxzg|6*?szl6GJ2t&^G{cBuc1H3 zCX?j^@2Oe%puwK8eiAb`@9}v+cKxK)gNnxOX$*Wl$d@GG*IZd6AJT)2CvWC2I&GLa z`ozeP(W5!WxnK|Wmmnt>M?90Z@*gj`FunEu3G+$}#0aRjy2dcLDo8O9ALOublILNH zmnkK>dL zCL}Df%5BN@gSlJ-4nJOeNSZzA$S0ctO<3=en=iyK+P%LK$G?F7u*l@&iFA*M-~71# zmx8`o5h+$AKIu$k%)VP289xyrti8_3QH`h@gaHP=sYBsm_c;}MjO1}m_&2MCl#xiB zOW;-$D?3bl7ioHYY4czqJRN578Hs<7N@q^?)E6LnB$2l&pOh$@&%gg&wH}OfN4MX} zJXlKrFW`)3l~$&|M)9N9RV8U^?S~f(7VSq*3#k1X9cYSKXw7UMq)DDOIeMg87!P<0}pK0q%+i@$JD14!pdEUwq31MX*f zE6mWLcsT=CTL0;{auH9c!zV6%oTA!p(f8bXxT^yqJw2&9YaJm_0w?^RSmc-=bE>+F8r`+ma-F+3g6{UG%_W3*2a;Azc`y9V~z zFW;jqLAsvjLS$D{`UG4S0iI7?TDQf_K`2ZMfc!j}USW=`o(EgrC=4UkcXME#Y!Lc4 z)UGBUHTj&Ep+nBzStmQQq6Lu+3Cw+*ILo@WE@UcNGCtuLvO| zoE2b*Q7y7!+%-RC(P63MtC861hrEzfD2e3bwT$5!2I3OfcXt48G!D|kps`R+b$reR zoE)L(;lWY^nG?l`Y@{xC?19ZI3B`n~;*;jlI$(1&(VUdjv+~pK87H+l$#z<6#*G+BOFSkd37o9-)`(Q} zi%tmzU9So{?^PyY$`rC)v)cDcJRHN;j=DM0POOqgsop(b%o*{Hytr5Tbjf>wfE#*Lja z@v=qZA%~~5+0eSyjYEahW;wZm8V46mU}DUPSmL%xxAw&wM!Qv~$5FjV3c1g}SDIBX z`Y)evy%qrJ7ZHsHXWLKL zCA>jpkl4{wnJxbI9I<;C@z`jW8TTZph$Bs^3U6<#QB5<0?jn`D=Fkm;O{~Ylw9IQs z7?9AI7LJey4n{v-naZm#lRj$N&b=wE+93p;SG?p)MFg3tP+Qev=k&?@9xkJqd+csz zV4Ra(@9X{uIx5@y`_(;83MC$UM)O376@5?LC?%t}qIL8a;?3#-9k z>%t7M>4VtI2V>GAtXSGaC<+_|ato_V`yVAKZRXGk#B+a-V$#6rFHeby6l#6J9Av zK{;l4tx`9>A0Cy}w&dchP3gzaMNfsqOXamyX zo{Eu6y%VjhT=_7AkPNkY*i;o5&v+3rjQE73|D$Z%oi{-sw|siZkmitI`@=ur zB1*uKuWof3`$aFN1+4@ja)4$%wea07jsLi+5o1>5*Lolyx=A+P=J8nHyuP}_^YAAg zeEoCNj?z>}$LVZO&EEii&^@`EE-B+ar!>IXeF}p8V))I zb#N}nW12EnUnu@h7qc(E2kC01p-1E_CC8h(pLot-s#({1*tll~!c&-}=W^vm(TcM+ z$sm-y9trKCmUVeutUL!v7B1ub+1N1I<_Z=J4ndKsVljRs`;VVQS`@FiX101 zDl_C0j))wN<)Ph61pMf1hEEf9MjYSLIDMv{=&-KGCGz;;Z>sR0E#??_2i~eRIJWg< znx3Oi1b($;290Mvj=bIFe+6QDz_BhGs0>+UjTp#@{y7e*HGj2?*?P&Uwkk+pp~&rA zuA4z0K(8E#*Zn01yMjn!`A(JPE?8g7_NgkK%VVN!mp3#xqoFTIj)gn2%SIhxbkofM zZnokjYg#ZN3AaaTgVPYo%*_)B8TjW~WJS~EkKWbCl45D;0 zDX~9<-i{db-Fw}+W+z8o-D}(DJW#EIDAjuM5Lof*%hdaCQ0^NY`v<6oU{eWHE!C!rU>>zPo7@$UBn=_Dbti(GsuuoX zZ?MI5#eYvxl{9c$No3JBJ%hXU&Si6uZ~u@bp=zOLiE+vuJ!}Ql3F^AFaKs3&6NtGW zOoWGNF?W3_1;Y8j7uvrm3L->Kd(r9ZitPrOtM36yj4yP#c{z$pL+hIV+y{~yR-0j% zG+i4f_^286p^8${&T4YN#~oj3SXyrm+Sd7y?q0WkJiA_oV>ysE@y0FVp} zRds}dZimFvrWm65aAESjM7UoWoFnGbC8l(OyEG|1!5~UN(A#XvK=%RLe%4SM`Neg* zj%CD=<3#t)64;YXtc=%RHz1HdlSi3!S78$JfR9`IrPZ8t1gmac+DE<1Cg%!tf+O>i z5zcEUjCsr7|9(E8#yS;#YiIiM*2?`=paj3yfGR7iYrS7D7wmcg?m-*IyUcU@f%A?G z%0S?LEv-zXRIyx6_SoSwX5!b9$m#}ORBicE8nHcEbsvV_5@ldOq)PZ#v$Ox?T%lQz zVu~Orcd#4%x`uDAG{p$HQjbti5Lw^|SKU4x6f&=cn{x(d;o@1G9q+FrnppFJ&A&eS zF7a&0jg(+*rF6rcI(elTlC~I0MmbU6)~+*CZbFtEhn;P_LT3m#T!ph!WGq<*FSTD8 zhC;|fJuT*Qf^g)5)LdFZ{iCwOkp$T{ep1u%WJEwmtD2^2TTOZ7~9)lLw@@{jLJ0Ty_ zi(*?l!xKJ+4pM*zJ%ZyQF{u*qt&V?=S;`6R`T{Hk6=y{ExJeOY8WLk$E8j9qG zFs~+i5`T;yitBwBX0P0b3$>_JjX}~7V0H_>;eb;{ULLMg>N>_Lj^H7Zj=VWwNpd(J zi{#pzT-%C3kzf{No%0f$&)36Oe#qoVq(AFjqFX}3rH#{$3~YbZR_ z;&@qX`dqWIZTW_RP0k}OR0i8}Yu?5&M2>Huc7O_rmiS+(0&$#NN zQ0Z}SxcZzZ{NJvz`}4`>i94(?cJ!TUE)@=PxLb%YTR_Ju+x}D{&rNJc;lA7QFg6iW zvjv&pD8>Jv)1LCHjq9;(*Qhf0B)oMgOBI+5x%5m2<^?a>+sOqBuYQRkM}yLAChR$l zWvm^1%jyQ6F25Cl^RzFrYX0c<3>FV{31jYKf6||4f|?aSXUD~I7SLXWa(9dW@|yqJ=fcg27${##~d%;`Gg_kB6|z*9|eWj85+{qkZ@go z@eBYO{PS!}|3*0qu~eu*0mG4BS6uD=hun@1hF;ISOa>@Q6<0L5Z^|6FQHio#TPSR~ zw-T9w63GCiyC5Qa>r#L#iz~*nPhD|f3TGO%o8b4JFmO`aqF<*oa8ZE%O3KZn948&_ ziFu@C?ZipRI1ETzpq`@NwR)@c+b=&!;w4P1RTs=hvG1j!ons#TH6f-$dJJBf^0FN{ zQW4#sK0oonQN=38t7=TYTkSZ!1Ke5+Hqn<&tu+EeE=>yBd?>!ET`P;lXvYWWjO&{B zc(4agfwg-zi+s*IOEOE2KUmfVl!yj@NL^``7QC#SI_s&1vW9;IZnGzE*n`Z!IH3vF zDZ*+TnuvLr6Fdlw50Ie<3T^>4K^_m`^626hC}icK?2U>cF?J2Ahbw$3Ru(!9LkqZR zXW7=8HP`xA;r)j-Yj%(#yrXhd%ygvfNM6SOi85e2kT=>(j}*cfnJKn#UF`uvtc_)* zcie~bh!e$p7QD4Gi1D*TOA~SJ(%Va*px{_6|2%o$-HYUiIQuj^y5ISE+kNh?3;xU32$h zMz?21-AsKi5+91xYRUeE^+T8hQx2fU0f4yz+;vkI`I`wHOYm34};{Rgp zonl1`0tL%s+qP}v9^1Bgk8RtwZQHhO+cxGlrqi8%Z#t8izpA8u_Rp@QYSmgG@Y5oV zb}BGJDe>OxwevxlRfCUrBX*APW_P=3U5T$zEqRLBq-HB5CdgO|Q7b|bKSzNkNb1v6 zS>RBaF%DU84IeyHdl#e3sI#qR59^*b%vclm3!BPudG?}6^%Kb*-WJ_Xl*>29=we+5 zT%+xtZR}ReRa^s!mmPp^MIm37?0R9$0V^NA-eV{<60($V!oz(CGc|2nVsGvr(->O& zyemS|$V#aABlTsyy3Q{SNVffATxDntL%IU)a=^GTVSR1-0F6%QpDgF4rw^=Q{!tXTLv`@XcZq+$gav-`lEE)?FR^ z3ZS0oM+R9JwCDye*q$P|$5yr=XIUl$K32RylP*ab1*WbO>>Xf>j&EnYg?P|=2~ zia`bp@4iT!7))(&Ly#8NNo`sd&R@r_yIemrR8HPf{S&%C+{V=mnW62 zKioN-PF(qHT}Gp|V)PtpSXk!H;No+6^9Vmm;>_OnZ$8RDwzEM28s7?Zk1=Ft=7mBI;&q9^8u8xv}(4*Koh$K~Ch(w11q5jF2m>+N1~pp4~s(S-mhgNOErBm;N;E_l`>Hq!k6$+`??SP5r`vEKwG!7F_L#c zwEY*8{2<^h`s@?o=6$-Py3q~Xgj^rtiMe{EL?^;tjTYfYlk=4$+4SHK_n1JpqBJ9| zj&i%2^?(&|TR+JuB~6IR|0msx&4$|>oj+4!lXF)ETyz6*cpI}kG<-Qix+Ov3ghkvt zf^fzW-jeCLyH$&w1!Urb;#44`G0w(CF8D0smem+vzEVEyHuE?4WMbJ3U2#YyZnTqH zKu~D9@m8jWb>H!fFhlW>xq}T<*(}#v6+wfpYg>zOkOm?BV?+PON2uRH>5O(rn8&21 zBxORmsj%0=Ivz_Qk`vy=o+*<29etCv>Dt)YF=*$#fXvHo%ob#|Y<-B0T(8+;jG$u; zMc5FutFUGic*yH}eX8Jvtn^aSztA-rgs9ZPt1)#g5NzRY=*@-W*@XK+*%oCo(rePu42p$=`nTS=w* zkhwV;q~|UrwiPO1rh#~5#AOH zC@6(kPLNEt(wNy;I~j&Akie_RKLyPJaG)NG9P-QDBO6D9Of{U$PKnroiYLMXN@wQi-;#wYl0~a;&~;3 z5#2V-I%(Z@=z)K}_;b6bV*~po8<)bI;q0h|>x^}`RrIK|9#XC|3#;9A1?vn-;?8IF z!dv;~l^Ur0<+wF`1h0$^O~H7iS+9&=YJS8*XUYobYJk9tl7)*AjMiV4_#yz%gjKP5 zU@6Mc)t+!_orl_(QRwGjg&>8K)fL1k;gxLrLtw2CC^LAWvrR87a}GVtr?kTMOY;t7 zn!@ep*&wXx>eTQFbvu0KqdPgUHQAQdg-QM}fM0uG6%`x#Vda3;W%bd3`8t|5YBV4E zTXF&?;KIzc8r_~GuwD>kr|V~~UHoN?@brM}7We(CL+^5=8y0TKJ1qMHku`K|ur-~S z3&bDhX^P51OXIU^4#lFj)PLos>&k5lvBSNn)Zdi2ok+2>aD@D<;6&y=9bNXD1FCvqwR}seh2TUY!ZA2Lmlt z%s--;EHO2mt=ZehpEiH!Yb%^wxS^@5{ikS539N}vKTn}giq&#JLRS))|FC@8z-XT` zrmNZk%^k$GOwzh^^hz^qN@Z3V&M*~yJ)JGXar!MO#89xJs9t~f+aUDIpe6fa9dQNefNBb{m2T#k=NDC{h zBIiz5V9NSTc2nz>X$eY%VpQ4i4O5o2N|ECD_-1i(@w&Ov#0ncnTQWhn|Fe)O5;QAI zdi$Nr_ck$m&?L2>$d@;R`E!ER>Ph&BsSvfIo zN8)dn(8rdTjGRR%z+~lx^+s9t;+xgU#-oz~N5THb8g}<{Y)9b*AGu_?Uvl(6&hSYKn?{Z8^cBl2pvr;*}Ba zs^!R^$lP(+l7SD$fx-+aY3ZS`bV{^uCn*Ri7PDlDd5jO}d9pR4;$i9{#rrFY%%fj$ zRKSe3|ANU8|Qxt ztD4w58~igrnYbBQ8CVn0n_9U116NILogE11ZEgMy|3~=nzYqUw*N}kT(ZY>@-pSm- z!H$g0Q_u!Ll>Jjh5e77|K!{6;Q|L%a zN<7N!esuT#{$|~BbDMeQT*jQX=X`eDGUs4>ga}5wP;j?lL4_j*Km->1Pi%lC{9#a6 z#(+Tsyt~67WT?60mj{T2#JLXtLsTJtgZc%%7>XuV8PK!n8gO&4e+C7~7II%dB!2xFt8Vi*@Elu?4*6Zeon z-Ut}vd4OBUF)tyTz`paK7k{?*dcz@s-TXvlA!hmYg_3|rz#~F{?fs~Mz{ETbfV$#d z>{t+7+2-Vhpvx}d#D4axo*@1w2$+>t|%hYi`EB_eeT#e!qMI z;K7TGIAfo&SG4^H`WQFR558!>w{gF@C%z`{dd9!IuL_S2&fnI@-zGo4Rr2gXmAknv zSrOd~Z83AA`yW8>yEP?u{2A)lHnDdOpSG1?U=f!vB1MIlyRl(+%0h1g*UtzTX^Z$k zAC+KjPc;xE+VIEWZ>*+%f(Q(6y;g0yf$e*u;p8=ny)t&%)Zd@tDkLx_zm=!LL!^H4 zELa!deW-Y?$l!*AZ6{5kpFbD1Yw)~a)bd3GY=Kg-2z{)ywq`3AqM{T%F? zGuM{;T|tl8()-*627!AG9t21{q*%)apFxG+!B3`cc!!{cAB(x8$>cjk9*`}-?v|wp zPki4g3Y{*1M@{tHDC?!Ec)+8Ow$CzJz1%?*TOmJZ&jQO@C&7ZDX9pk)!QhAK(N(Lu z>JpuxGcKw_vb#alN4gM{cP-XPBwrl7WGmKX+m4qD?XWd5n|IP1dTaQZzz+8`HWSGW z!owWZ2sw#;FkbJ*F*+d`fY2e{FWtT`#^U9`$@gY;8_!Rt0D#zXBgu$tPD2jo$9w$M zG$c7#9~hW6?DvY^^J}qvBU81Y6-hj2ZXs|bGh14qrq_Iug3d|yn0o^%FN(q^x_{An zw+XqfBW;(VCNVpjYl5s<=lIJ_Z^I4?=Sdk}|BW zetcP*NwAjERH?MAXT*;%zVu8!hf8lvh!L{7bds`e(~VWw0#WeZAuoe{ePO>)jKHHu z_528foOkn17*r-jgBAkkr)PX{tkArNHgVr#8q#I9=CdRUG zcHprx`|D5K?-#DMI4L?y{|*(1(Z=cqM#p=Sb7o zr3SC>X@}z7h+Cr(_s-ZXw&I$Qaksakw=LK@)XPSp4qqPffmw*1v@+>jlLV#g1p=PT zD_%$L;JBX793(ugX^H86nXSI(>!-Z&Z@8JD#87b+`QMF~x)F z?ix$w{GH0s?K-pf>jkU*>v&q$ZIXkQ!ehr9gTdS4_cb=32Jy;n!dUD%IhO-@SMCGS z6?`Nl)NxS%rcW2X#Ta2cIHoYYP0_??rLspKucp$5xh@}-DS0`{!~_k&y~_3$kORJ# z`%4%jVWu9+vro^JM%sHB00wm)v6q7`>H;M@2CB0Z8*@{Ml+a^RH}0PPGJ5&c`FRWs z^(+cxV4R_doUzJmN!H}b{V<#;trK4az}*hc7WBa@WOZt9Tf^*|hjk?Nv5qN7zB1xv zws#-5;BciE{nHo4I7uN;uew^hdwscev7A$Q){rqTE#)h$L!vox0%Lv8sbnAHp6$ch zt=alt+2yTG<%=aT4eD$uTvl8eNrjo{q{>^P4cOduGIdR*dfgrl)UoD?y%3j-?FA(l zAFg8ADhPA{@pQ+=wQMvMUpx#+pB5R3=Zi|o_Y>-};Oj=XHs?D?EvsU17F$bw(WgJ6xi6!pi`Suh*Bn!}_ z+0N#-Jw9vqsc^lGTuR71v1BCu%0} z5~5w&81JNPtE%jYE02-ZoS^ClFXGM9VQ!`;G}>R+gbOVY5%+AQ$p@*)%Q4g8DK0Ay(RW9<{*co+3ag9@ zgQbwWHvihp7!0ZI$tx&&-W+%x&Fo4F_0P19u)O!>r-`m&DqR>UQY^dnkYAgWqj&$$ zcT;}T#an91OB%~W$r}ti&`e*zW(jX4Be%5$O^~+Qhc0yv6KLitfyXEf=OX({NqUVY zl{4bdnM9SuTN5LRVdj|xGI?xsxyc>CQiPPhj>d@=q`5K_PeFio6x|axrI}pbzu@@O zE87dNLxmBhZ%P%HuyWjVkG@#kJqh;Z4`ZW?h8DHTRJxeIW4GE&igJg-oHdB9ky)RX zi33SZnRRv`W5mg&W80`@C_sjVbxvIUC~cx62PR(50oZUEbAOcexRXwlxoq z1+6iPmKldP>N`7VuTUGBJ@nIrc{Mmh-Fo?CedR*17+40dy0J}eCnE_JVG0a5Fl!t* zUdL>-1X{Yr3j(gGV=PLx=CV%gdno*i+t-|FjfAb^Yq}22ACAaUuinUwQP;-%Jkp2Q z&9O56XZ4o7T#tEES*}xXN-EJpMm+zTr(!=i;PA`Mr%!>RCWp@+ttwzT_bD&U=22Un zQ~Ygz>F^R7|JkukpY$Ycrw=&Ey|rl4lJU3!;ZV$sMU`rwH6x^?(lOzIvyJXx7ff;6 zt6J`5cqGiE8A0O8ZcuGqMdtW0g??!B1Fi6|1taYBk`UW!@RMe}dPBPLBB~vu_46547 z6LMMkob|KHx6Z=CdTkm;p$vR{>crgLWO1;~!0z@zH4DkhPNBhFd$LZU?x#)!;O15A z+S>*D?Y&+7-z4_2oMBZ98GV5CVrph@FD%tTEydrrSEKFVL=e}}ijCf@vtFySz!X@H z{Zz#=@%r;F7IX0iDgghGRM;{siyy!V?$C_X$kBXV`VgFu^AsKj_+k1wT{MXPML=ru zVV0QODd4x$BN=d_j}~>)q2cG#cB|~qD9z<}J<}vLs+}yFzb}c)rY=7E zLZM>vh>X)Ut2{j8Wb&OR>nJ>$sukYN9n<*~s2%u_)SW$Xz-A7bxY+GPPt3|gb%g$R z(iKHn|jwDKoT$+khWg=gpQO2xbjwixvuu&+^(p3XZbwq+7aa zkR$W2FpqgetJ3KNOn`3tXqHu>W$2*oI%k(pWCr{%jx*ZTi(}qunG~8 zWIWWkF>Xth;LICEWd=KH;;B7p3s<5gUs1Z@v4>daN!UGcnn0wD zSUeriO$wkV@o|hLq%s0_|Bz+89TlE$eHgp&P^Jj~AZe*2RS_8r!=J*b>prx1%E)*= zec(MbhQq+2qfupfd6CPG@Z>{`DOGG4ioVjWXiF$dKj}fRn&Xls`Q=sW$dmm;5gM7_ zKOVR8r`|zGw#X=iB1_m+dM7zz(I_O=GN%ocZuaZRdBz2ccZidcH z&9jK`im5VIa%>MAIY+4UvPJyx$YTQjzT83FeE@pIpqdb)n3 zD=Wf8!grxD_4vh-$kE2&<59Ayq=seq*`TxfoHN~~qF_>sb@j;B0l}y zf@@=Rd9lI!sAkYQvGe&k=sqaT*{#Bk6D*xfVC=z4NChJ|-H@K3M`T0#i|R9M6_jxI zv^^6?S^>J{TlAg%?!(jO)?=YEln~>ddF_sIbemRwxB59%Pre1Kp5%!oB2H6ln3$`N zeCtgX3o?#%$FPCdSx*5;zG@>>1-tv>q%g&GJMztKn=aR)_Roa|PXuh|t#KM6i1ca3 zj&h5->MQ5OC!C^(uu7aAmN=9-Pb@c`$EW_*U_`&7nGXprDA+Vy2V*TYV*-luI3s;jBgC(^OIPVkT? zucpUN3_dV_nI}4(JM%|*-<#Rzm^tx-(5aRQrHb5SDMXk&{%Wt!014A1yCOz+jbATl zz~pD%qaA}=U{dA2Ul1%#lAmPT z>h;AlEN)eZqOhlT)I0h*mX5n1F_3eeY&)R1lH+7H^pD^Sy?fy@emEkrHSWxMtq$A& ztjAht$lrEBflk0hj(RUHX6%yvxK$&eT(VfdC);Ocj$fAqC;kh);2um^*0@GoAW1$f z<7Dd)Y)G{|!+vDCgP45+&9en#2bL!#MntP=-kvnuV1g=L1C?_xQCYhVUL;O#`77Nx zC9UF1EbD{h2iKi@@gIbfQyP)3E6wml`ZZn-u#_f#A5a^6r@dRX{*=S6?x@fo0%3&k zmFPe$tyhxVNQ}@?r7_*9;j)H#(iXL2lRcCpg9PM7CkkqHr8|qJ}+6R98?#C0W)Ku(fE+5-X-(&T;rv< z@+T~uYFYF1+cKIBerFErt}pO@fzZ#>ceMn4NEjLCqAJ@LBqzt^#28tH!n-Vd;)=z9 z#iIs`RQxD0xu60M%Qx`y|BjD=vH@;DZTV(N{r0C8E)uZT7X>v}L#%U!BQ0$PAeC$% zt{Nqotm24%S|=b)t!nj~xop^He|i61UQ3%L6u;lN8XIb`&Tl!vqhqOwRF6bEF9d97c{do>C%9af#J|IKxq!Y&7O#p~$4GSNknao& zJ|k6J)i7-v0ddZ?!6Gw42jEZUa*DU3w{6QJB;1v<;hmYf4E@S}OS`FT^La)yu>}RH zC^#nji$y7$dQg=0IU8rqh!(j%mRlq{Dg<`7*myFJBI!;w>^EU|#Z^Z)cH5^|$+K-< zOU5fJ!dT7bkJ9ZK6n)XWJ2zD@Kf1jwr^R_}^{r z>{aaBJs@}roUxSm!1$n|nc%YkMIb=g((EoVo zbVf%R^-+aQe!ro%+%(>e=XEv{)u4@_abBE&}Ghyc)K&T zj(s_y-{7v$X^ls!3VK6i{doa3%Pqb) z1B8;6=Bd`=-KHg@JZcO9W27LK2sy@2N0)S_k)U-qbhA}ONv)j6@K{Qy$5p+j`B2>L zsrDzBd}fnqO!+mw3o_iil)@h_ePb|w&Z#_~dMMrRGwUb|R>iy($<0Ig;-gXbYUnJu z3=O>U=ulj3x< zRmJK<_s-RQh@^0~vjw{FU$BMOz6U~fJm+?Y#Ek8ioXVCT)L*dyoab(64Q{MO+q((d zRW7$gbZ8m4sr^T3lcS4}7z)gE9zx>|Ee`7$lDUH#Omm2|>vB6s+XZ99Xo@pNUpKhv z7n0wPis-tCUHM(@N?nQB6Q4C5B|*{+IB&5~)Vyn1D=L0;%nj6hE@66PG_;i0Y^IeTtdux5pK)=N}Df#k(**`cxR+~Sh&yh z3PJ@aIIeWZm?VvXRjX@G?#cm+bZE&rW9Ug1r{OHNdV>rV(b)k@lQBeV-V@rA^Q4!A18jx|U-?a@)UK0T2_#v1o(+*=jmw z_4jh8pCY6|MCaO(V#n!%u4IGNc>9U5I_F-kuFPam4Qi{kgjQwWTZ-(6KQ5W$(J;?V z3Cf4_YwtN_dlhyMr_-&0^7=t1WvjZKvWNn8V|O}^$OZOS~c^xki-~H zQgGz*%?7bUO9z?Yv9L5||91Ds`)OpCmodzp5Ey7p=0BjChCy$Q)yQZ?{}l5INt?Xw zJ*A*{PoQ&GFIsgv3y9#Fta8Jp<_z30>TT6c4sc_JgA;?9lFw2Tia=LdKUkyK-nMjD zF4p7%6V)Z&;tO|~yAuRKC572H>z`zOGipI$yHF%=lgsDMt1cF{)oqt{C7hw`Q-6-n9j6X>t$9T2-o5toF%T}bP2*BF zJ`Ve#6jL|It~>u$D2zGY(pLOVRTlGHkQ6epWp+0%;sbCliNEUE0og3UI?Otj?;*<1 z*#8rB|MpKO`ZHv6f~$v28tlwFyIDhvsAhfM#&7J2rf=W6mw(r%z#vqYZ|j%dO{Q0L z40}9>$pq(ok9479m0CaU&n?0hau&iZE<`Z(JTFOdwIZ-4hN>ae47wqP^^?Q`|F?G6 z4ZFEbVz>ohX?}fm=|rp(IcEWk3msCAssKfOCP(e+ddGNdkPH-QFPgEg=z&zGuYzw} zp8~X|^Ybb-%&3LAn>xrS_ri${9it5G7A^Y@$tEH!OFrq0uPOWS*6ZPeFX=OWASXav zj?MlR_?Vr4o)?n^WRAvCwLAXk5YRg+N(EQy37Tb|4zTrCWaCGvYve(6F z7_o3Avty*kc(mmp=jFonL{WvA3r4#S|DW6ejSIeKD?^Oe4Um*AikM9t2{|0W5nVJ* zwMPG`cUfXOOxs&=Bhu^8^NWw&FpGK|sbvY~QM>*Zg?iexeiSWX8~Kaq>+o(sbGI1z z9CopUj@DbtoSAapT*J;J#Hc-~)phzU^`QHg`R2D}=JGme{F-=m2>C(zeqjo$%O{ENR@4wN(-8-Qb5Fbf-h?3=FxU+OD-r ze*Gu{B-Q0FI-IbqcI2*Mh;7Bl646U+Pv=4HPn35X!10H>*|EEc{Q*y|j)t}0MCaQ& zEZu9QdrY)pVJ1EA`AJTN7n!}35KGjK*1$wnLP_?R&kWqEGl2{)Onjvl>@*Q8McV1k z<9?y1!#xMNHpgI8m2QU8#dz_gjlC0@o>f#sberZ2R@lJ_XQ}4fAzrs-ZMoqgSeP6*WToPTd+wu49{7 z)x)6R?M<_7FjkciMZpJ>iQ+2$3w+Geo!ely_|${hyPJ}>|K+Lb3M4cGM-Ng zLdKFW0-a1g%40)qWGxHlS7bBm+5CC!Ec^##T)J&1y8bZ%IR#3z#`YBIJ%n_&0CS6` z3c{(rS|vVzCS(@1;};yhMaJqsz!8`k{-+Yv zT%p3x>HOa^bU;AF=SaNS?$@nfy~|J470I3NDQ4!+b>_xIR9QA)BLNZcB3@q_YgldSOPy#hTdH zfT8*T>@Ywg{upTUAi~MR1CVj|sVjl!-NK1{iLAUw5&*n8asb33oaycVxcx$b2z|ML z2@#01yD|)*hu8se4D8AK^<=~#Y=F}O01)H&Aokm#ARWTL01fWxd&2C$uJi-2iU)+{N`S%X!$7rDL=S4X=1`^Ft6zF{_`MduiOmln%{h_R(20D-a zmuxzQ5aQtYN!Z^zhhq`x!}AbiRr#@FK$!1kB&Wb4Afq9rqXPr_gAbI)hhVl>3qsa& zGq*dk%OEP0*UPLySjTXmNEMfF^LyFK~hYK%PDX3Y?3#T%LLUJN|D* zZZN~NUa&Vk3^0d4LLP-*7chWrMjvtTsp|kvcWDt{jh}pkgY$iV#vdDzsIT7DURxZB zC2%Ohj9dXh;{hGrkXF5we<$P6HZgnERW73BnlB>Z`R%6AU)j!gjZ5VCRO_5PrPw}} z3~KjohGc&6w|5Rpr~R2(amP;4UMwk=yB!Pl`ulsUi|n%UXy7D)i)llPXU-9YBtoW4 z+|=6CHz<$kmk{AL^VR6N5xuSjEjLovfLj2?r$<)jQD+>(T{FB_LN@389;-(hu_&4G z)0et@1`XR|Z0}Gc`F|y1T+qtAC-R3h4*i_@lI)dQSV8SuwjWx&%eWsf#_h+Xc`*~r=i{4KJ2RK6C|!PX2BPFtaCAy} zBd;2cWyYk^pqM6R2U*>g%jq2T1T1Z`c>AT3s^)?WSA@-=sfA+a6uAT$-6FD*CZ6j8 z-iHO7-#UTT=g`(!#`X8bA`eH|m0@0y$1YcFF*i-}yKb%2N=B=L zdom&ZZb)_Qs5WH5aHgbb%&2`BU>QrP{G18&7;Uw_(QBDSi@l>oJS)8J&zI{Y3S73# z?l8J;-Nu?txbgPvF7{`)92d^JImdWPoA4LW@%G{A0@YedBK%d-y(o=gYrX)#Y|3p$ zaC7Q)wBq`dglXuAYwtunuxZ>bb3OX0e#lRN@=J*Fq!W~M`fj&jNKN9Wvrp29gBnMd zkVLw3Gb$T{5rmjruMal|rmOA#qts+Jd|yNwQt%_W{r%PzY7t&h9Rpd$x(D9gM+vEt z_;q4J@Uc%kC#d&TT}#wZd2=_vlhXVyB$_P0t=dH~*-33u8mmPSL4#bfi>iT9hIi?O zuF;BW(f!=j3{)O}A_r3NoL2PNU)?qgCjI$@PmoZ+G95x1Vf5bXUD zP3_DJJX7(Kcp?x72ig+Pdo=hEcN$~#ke6myZ}dH>LCkL)UJIL zotW#bUo+nw5Zx@uzE+GOzn2ZNvGVtL$HMhJ*t@5?Mw?6V&z><)=1KKhsuF##^}IJ@ z!J9#34pZv*mB%ZmQJ<3ksVr&6tq$h$676CD&adAyy&ep3e?g|@v0YZvjFJTYmZj*| zfrL{-NV}o?>mzHrM+<1<@jX7tgtbuX;8fhR9D4W0!%O0E=cST{iK63$aVY;7WYBAE zs){q8e(lFbQi=$-fs@_hq&TN_4G8R0O1V$s3)i>MdLcw6UURhmgIpPaP@WW06pljDkUx`RpQz43$h zeHq2IC*2N`enCTXT?80`%1$SnMkHUIUSsM+orQM8xKVeZ{+iLRf3=Qx?8?3q)xnKi4cPX&mnZ)w<90d*?Uz*FXd%VEO{V`lA!$ySX+M_ zp!~x){Uwq5X6SdxwTCae7CeVVv^C@_GNu?VCzQJe1KhUwXi0qq!6|#hxX;U`?W=ErDj( zFdp5IanU$?&)rmTTb(iUPKg5X`l?QdfQg+8Zrp*OFTez5DjyqEYmM$i%d3)FirFa)tRG#n zTch=AactNqY$^t(m7|xXP4dtBeU57#vF`KCmPvCYS|WyW|YRP)1!enTek z_hK$+OKqwghRM3H9cVS)N72bua7)M6mSmvIMOW=hbk94rC^$E?l2I$+6OQrVdeqw9 z+s@$Lfe2jEO@HvVV8YU!8?~)s_ARSIA3WW&Oexg3gu1<9N%x^&ih7RRVs@2gM5N!J zV;@)pi@oYjAyrkrB9f-WuY%Mxi3s>hWj6nk76L4KLVzfm@$why8{x;-9S9Pm4&{Ic$pjQ~ ze)Xf#uQ)hnWgdatVMTPCF)*9?ZUp74(Ea8f}a6m5w_|2rxCOkbFA;u@%Zd9n7w~TDn??njb zibfuJ-m=Gsifd%T6n^Xu+3xS@ZDP#WH3g2wZunv>M+M`55d3-m@}KYZu-mNH z2Y{n)fdkS@7(J2-8onzJ-|#qxeQ8HU$-TC!)+8Oi`4@_woer_#4Zp&yhp;*?lAd(u z?X<=P#wWy|jv zlB{I4z6P&JT_fqKto1Nhg)o9LTDA4^-A0;W4vdPC8b!WCX#|n(G04Pp?R|fRmyZ?Q z0aQM10TyNJ9cijO(~X!=mQ{rLArfARX_fy3xFd8yH zT$C@LY{J&h-Hhn6{5^Qd?DhSSjd%A?MX-0{bE)*%DB?{nAZNB$Fmno4{(F07JSqyR z`mklG|0)zI&c1oNIav~~2Dq+%?t0e~ksf@@DVsKO#m52x+0~W<6Zego8T`(> zNLzxhKNr{kYk93|+^piJ~R$zuPY;30Fk z$Vv7ue_3azz_meP)=Ueg6_!1YEqOKdXII1$K^tH@&EAopb16cYjbdq~ zx;XT!iFZdO3kHc+i@9j$T+xv6-_O*ZrdV@HH1Ui`>S;(5Prf<(^47a?Bt=^KsX+L8 z&Z467$EHT{gVP zW)huW%eHr1c~3#xG`Z<%Wb%gC-qUEim1Co^h9DQ(IVSf#YM->zNYFpHy0CSpm@ReD z2jfy1dt5qrX~l#zcw&Lq_i#+qGcehJE7zZUcmGyS3y zx$s2xbPIClRGs(!B$#WtZi~m@{KYg3r{Y!5L;Nb;3T#rCk^(emwIKhydvc(@M)zbG zHtq`q(h0|JXwypykHghtg4d=T7r2=Aq_+rt{9ndYb$o#S(s``QZ4yYToxjzoE5rRm zxKZIto^YT)72``nq`Y!nLMP{H%#=YKWz(vyS(tO2r#>|}H8nUZuCJD5_OXO9w83hu zN3}`z(~GFGA#%OpCprAiX2IAiC`A}P6H))3iP4sVb>!}t^U&%uNw}|-vk`{>{WQ{y zCu)bT7c+Uo`!$Qtbm`(x&7JB#ui@!JXiapcP8;fE%n0euGRtj$H}BzZf?#X+=MdO6 z%8GI31wZLi0 z)0$NAR$0oMgHv9EqmfUJmi5$}egKneuWjFz)IEL2=)@-Gvnn8fG9YC`t2rJg+rd4} z5)XP(vXO5`mfRk~iaBU-CuJ zJ)MpI%6ZGV6N{s@LK8u>(_xXbQhAjyqSeu1Egb#4PXhnh-Iie)LYJh*Ch}aD;dE1Y z(JceR^POlee{F5loC@YH_Xg^itA>)n=dM}$GW@jQ_nrK5b~yT_a-EoxEe}cMzE73Y zuyh_$L~ z0rS@C77B~8t}bglp9qD3YFC!rE4M12&d+ER=gQyzn(emXv8kV~B=e$T{`#j^k!0un z%RRs2CClIOo46aS5>0!WaC5s%-z2~Y8LRhLLTrF`z*FhGyndCC{p!ZBCs{>+S##@p zS1py}3Md-leoXKlJpeBWT&e0jyp0RZUoJjJ6RDtG;HVRpT(`1Q$4p=&^5loJLus<$ zp%Ky^wS#;`uXy_0#74=jo=h~(Y^zBB>>gnIF@-v=h1%*`9`JI;ZQ3`6pTGa@h9kl{AWpiMV@9;Ozngf+idX|qxg_W=q{Q-{lo^iuhi`L@Aa zj8o)5^~oCDRn011fpX|1O}P}Pq`m+2D(ia#&?RKUA3t)ZCfBWkXGS8N43_5@>Su?V zlJv>D%8=Ka=7q@g4;RHTL zQ$fx`xc$s%Olwh5&1tq!ghZQS?U#7_AZAc){1<>!-i8^=9*j!h11H7&SZ8U8Onna` zr>o;pU;CBnrT4vk2Luhf|1qSQk-+0;5@Zoap{CQ;bThh8!!b5~*E5^rW&fSzxp|C~ zcRgxgwB0S<=DoSfJ_g&h$^6;9flKCec&#kFuQ=o?XT{6oSX<-d4~9d~6qHG4MIl^C za_FnziV?(fug^|nAr29Rquk7$tp?>PN~wzM>Q7A+@KepSb7!>Pv%%OK?`=&*E@kPsw9u&!1}ckJ#$d zJyt&a_Tg^1m0?<4szldv^TxBo#olnIsS|s}yA~H3)=8Y3mJL{sCUj`U&yGPup%RJ< z6&a4YlH6-njlm@nhr!6Sv0KZ7%v%okzVlx%w^KJK{eny_SDE5L>rr#WfY*n|y)>{?hXS9*ZZE@wBG_5~G})4I|^4j{Ivvvp1_*JRPjdT9OmU*=Xdm^#!kJix-NXBT zP8NU5s*dn(CMCN$-hr#IsEcn$cWq5@~*CZ z7v8L-kH&2#qzLGll`nkl9MIcz2L3j9@V1W90hrv%qMp*=F@N+vfsYTX@_sZuN#lX> zh0T+mDCoD|B!u)GTFUKYzV@_ZSoXTySO19ekT|viXYVR)Ndg|b`0 zB&CH_bS2i6##xAUV;Ii>G$j4k3}Se{wpl$GA|s!6D9 zj@|B9j81PC?|#j<5ta9`!xLWJ3Oo{QS2Ie*9w^2X35PeuKSg9FipfgDa#Y`EACV*s z+7@9RwL|w@h-j*)%bA@Gn>mrskBHs$#_7$YiP>Vw;|UzPy7VpBVw)pF^|ghFy_5Ii zM&@lMeZ76n>-X*L_ZFbja~8zAkH7ZuY)E?lHiP4a#od5wki1)0dK1TAO+;Q|-tM*C z$!xv|xsaxJILiLeqs-mnrrHraCeg9O7Wa-gs}&q|*K$lV!Mj=B8kz0jq-zKw8(3dd z-u=co+~D*3$oP0G1@yspE1OK0gkFwuH1WSn4$rNTKDy6*)-k|*d~4NNcEyZo?Q2ul zj&XU`JtjZtN-|Gwy_{XJz-Hf-_!HGTSEUSXXD41YZipJY3sZQODwyZ>sQrnZIip~7 zr&)UU{1vgb!*2xBrk5Y34BmR-q*AVKBcGq33eAVrSFc8bC_8KL()*SVUwo@EBD?U-k z#y)#^=-8=!Zz2fx9i_C z%hkSZ59P}oJr5BKj6t8f*P^4vahccBRd@0WH}Yz&xg2}%PF|TXo}K+$o16Cv?{-8q z)($3%xhrDw@Q*HSj(m2{+HY6A$D#N5rtqS19V}`$VV>mn%;6 zHq==+wJgp${n%^pdLS$ZtGy%Z+T>2QSRH6vu^3$AV$#{8H)o1p2H(*@8Fwc-G8enI zhLkLxGynK9yw8~XIK#Ca2TQ*1Vrk$PBb(!u6P^yl8^v8=RiqQ~ex5bbr%cY4mpKFQ${8g^bKf+|wi2hdJ&%1km zCL^h*Pyax{P-sxgrxmA#++k_5lli;IT;s*3OQMS|VM>)K5%lhENcxw^4;^L+O8jQ= zOTFX5&mv@^^(7i=`oA`N)N1;%rrN$g#Hn>DGt657Hpcdbwe0fZ_bcw!av4@%#Cm*k zc*4b5N4dxsP5I7lZS@Lou<8hEZSNl0+}M>iH`p`%`qx)wkG)xCguN_`!m<1VjWtVd zi*)TbmgoD_>_j@BKe_uKgeP7C_)3C-5Md4Tr-q5G)oA(SwLckxU3S4!?8zA~HsH@&rqB z3kL`WhlGfnCaj)20mq{tA_@*h)|MtxHs;m@$O$+gtnMxV_AB^Lufj62x3_gRHMU;c zHNe;iY%5@FZ)8HSCYU*_{aiZ-NJL6CM2MC)jwG<#0KwkU)|65+f<3`>!`1>wO2U3) z!XLFxPqLQQ;F{mB0&^goCYacof=vom^Zt}}BmOCqPmEBs?ZoY@npoM>A#-i!bJQcA z9OgrGLT4p+baE=68*RB4`TV*T#+0kwW2xnX-+}CEzRI5{j}NT8UW4Nq@v4`*g{TC}aO$6cg1Bz_>--M;NhiDynwdEX+z>L<=& zBCluRVmuZxJ_fU6k35?1<@D=$;o~I{j**DYzGb(4t@H;Zc+)4;AFD3c%)tF6j0_?9h`d+Qh+gA%Se;KVUNh+^W;`jcIBRW_-s_vadK*CG#{a z3=h~lR#o-=$mtjhsm-Wy&A-dLZy=&&u&TXq3RWaAcf}%fWY|gkwdmGEyHb69pEzeU z`>C(=&dEhsi`QPUB>%kPyi$fZZ;N!K-q}`!@5wikQ zh!TGN$|~3`oes^n@8=J6q?!%e`bDguGc)(MbB-l$E=&;9=}mw7YUDvP#C99^mq6i9 zY$nh4FWn=hv)Gq8Nb=tQ?f8!eQDm9i7+(8eiRaH)r?=E?u2kQjsh-W1DbR6XRzCdR_5s5E z44)3d{ZyZ;;pgKHR6XJDs~$t>7^IaZzHGro94Vyl3?`PP*Yw;V)})u&RJR)DSzLmD zTHuzLsTJ}J>=jyJUL4%x)p8@2bc(OF=(8KY36IWw@pklVJsGS~H88AGn&LC#5f2Y`9M+`trB5AATg&K(pzO9 z*iR@qQ6Ds=AtsSMxNvWKeUL8sXLb0HoQ;d;m++x2(4n7KJqYgtJjF7yXGb*6KG=uT z6-`~>VUc`5l45YCcT=ng$S7!#b4`uzyGHBX8p8hbcEIPB)gR^g)Cw-aN89^n|1C!o9#TAypP% zPTsk7X(-EXgrCz! z4^S=$ce!z~F;?vky1L(JBCrOd;UCuH1*0oTh` zydmah*+n1Yw0UgOhdIJ&qh9rfXf528=zps-C(EvlpL6_V;H|=N@Kd`;;(N^8-HPRV zeV#dF#%<`AAtm0g+5@b29*Pd#zSPJ$qkprQpqPCn=C<|dotN@QiEPk4EBG>~(+K5DuwWat&HMKJrWEFv1Kcn^Atpg&(E!$h#IoR4m;J+oR0dHq% zPjZm403Md|`aq+#-*B+jO4HKR!GZ*V!zg6~P7T`&HkQA=A{ zk$)WNy4_cZ8t-lTC3hAr9XDgU7s6n~vrpz`u$i^+mG;BTjaC_kY}$(Rd?q^JxXBClJm|FO}Wa&pi^tbF&?f!0GMr-3b6%E=I7TtT#I6G@!(zWVjt#1v_Qcji(DDNn@uwXL{yPQOR(Mc0zM*6N<_ zNAp$j+;TSkuRN|xJRNw+z}mlklPpg1VU*t~*p_R1`qY(}47W+L2iwyn@gdj*>GJP9 zos{gS^LNNU{P780Fm(GS4Vi>AdT$aVcoZ|TU~>P>3d5>z{6nN~k>2-QD!Ew$p>F$q znj_!)!D7zSaT?*g9ZcTXsl+m5!(yZY@B8+tZIkTwAzk8a<9dIkyW;g#FGrtLfhL@( zd`)ARVvxwrrL&6OE`tNxjcu>{Fh!h(x8&E!<>#E?OEyz+xtq^8m7mb=9?chCBGT71 zSDVQ>ykwSi=xT3_U2mK6X#d-)w+hJ_t$s*ekzJ1?0=8?b^h(A&x;uSD;ltB_pec@| zk4wr|2El8SD+k^_I~lTA_o|lE8LA9A2iLcH@~Fr&!CCNsW5%XD7GCSsfH>(VqNR{W)2i zNmYH9n6f#xc1EBn!dLNHp`$3G;^{>9a>9VDIpdb6R-u>O`#ylIqOM&V}@UDMv z>i=W#hSc<_#rmW?u(Rt;?fZh0C^p++VgQpB^0M|y?-=y=m#fQXz$ib+MVsN|np1aR z4u%~}O&rZIZr{|z&!?@;QU1e!+ZnVJzBrikv*)+&?7hzA4>>{yQO&{=jkcur8l!n zgXOZv>)NcthDNF}U-O(pmhP8d`Eum$`@Qq(C-p^3Aw4?{Z!&C7@o#4!(aG-;uP~(x zr$cQL+H&mxKlvJcaG@468(6w0AE79%%uF}jv{Mqjr{fq5r%7ifAC$}zFQvum6acjs z_q~hX=WqU@tl`_E2qRoze!$l9{fvgYe30_kBdkLo@er2s{U7CB_d&zxJ`!%dCzkgl(cz-qxs=MDbb~gh z>PNh>wNvr~!vaAo49$E2A^!m0^~m^l;H7%6F!iuY5x8O4rEIeHXWXUWeGR*K%KmUv zI!>)r(n)+YZ64E`&0k@$ZecP}X0_QUoR4QaZtg>^7gILXsrxM?~h)1OJakkX>h z2k({-ez}0Px|Ut^R5iMZwTC^xxEoVIGI*dcOCqt3k58wc znBQ@S0cqOymhW5u>FKU1IIsbsL&F{8Xx zHg0?W(}N!iE?rznhGJS!ZK6|d!jF|A{65Tb-RH3B6<3r}K^Ek~1`~T zUp;D?vUQmf(|$!OT2we;)z}rkl00r5(_u@YT_E&MJ^)tntv$SpGD#cT7yzaKD_1kSnWj@(xC^!_Tjq z-(>mh=k&Q0ZqzoE{o)c!teSjVsM1@w_&#&bqEg)40P8?M?@G0h?d8wghNN!dST?cE z9%eUG(EY|<$Iyl}9Fj7-J0Mogt;4A2{f6((&F{=EDwhvdxenwHG#uPB$sdE=RrVTU z@N^*b*@r94{qly>eY0UVY`7MmKDqqiI{TZ+gKDabD)Ogf?4(Z~+J350fF2j>hueia zFXfrQcdTZwTV>3AL+}@kEfRd5cg432J2)rfhTpm#>mxmWQXj~C)#l@eA=xwH*kiN# z=l$yg)x@#4vmZT_(<>77949}y-6@tljZuy29aOlJ;o3BPInLo5`H8u>>d9%>rmXr< z6_2=?t|0{xkGLE_=onIX+vy&8uYC*R)||4eC7jPPP4Hs7FR>FEIRji}qz zA1S2X&Ml3na>oy*)tx-Di<0a?-hf0QLH1{{IftRNF67 zgL)0Ae`0Ac)$j+@7!a5LJswk{0V+__yx<$TerL%43TiNiA}$VD`~2C;kVpe+)-_Of zrf8%VOB)y5gZNA1W_mMv-M2wIc_ashrpN)OA`5v%Iv=EW6vy5QiYe|OxeqIfDte6< zd>)5he*eA(Q!aA(_$B2RLq}(u^1in27!~g}jZWm@;dX7lU!_Pm+B$dGq<5rJ-4I06 zX1_kXQ_nD4QoPFj-K_HZ;zc$&xdpTE{M}2s#;-o-jnzALiovI<@y@r3lAC5XGu4%O z>?s=zeJ<0jv7B^sOiB}SIQ6^zKDl|lxGsg#{;?|8%xB6Z3-7~5WKFCq&m!B$xt$;4 zm)^}flIzALSV-)hifso^_yJI7XcO4dxe>^{gmQ!ry>mNh3p%=KS-uNyxd?{Eqz{(LBC1o%R_7&pYJ$iiwJ$O|JI)@ z(-$D|Vo$4U{10skW$V&pE+96D2T7Wp0dz46r(?F_ z&Z~Gz$!G+NeA`dz_ht$^e{lZx{QjBqPuM5aNKM;@l5f=qhKplQ&g3_;#B&{7==#<^ zBzrubEA6Tcig3o8=aieA=OFnBxl?SoAEWBiJ6PkF;fesLR{BOZQ zYBo$Zy(q3KyCk-MfNZK3e>8MK>_OL1%^q=8p*h#Hx9Zi8U5#t1_)#|*5%k)@CHgZ* zvAEk;5M{gjsh$vbn0(t3SX@%6*I9P#=Vzq&vPtQ;{H-gSp2$4&{0CI8zXSbusNVP# z6BVd`KM%EGq(-feveD?jL5*MCvUEd?z3LIx57ZQS$m?``-+cXrQd zx^Uh@urNs!jG5gG9<>S1j`Tg!*wP(hb2RU1!$T&{g{2X7Mi;aDj7hlks^o!V9&^J( z10Uv=hHyxOC-WRZOXQCg+GL`;;P`mQRp*|HshLxi;kO1H) zr~G8*L&M`tR&)*JP`X!Wx-BYoS&~WpcHhojR6N1{d6P@Lz|6NUB-?j^hmx7v&DT5< z>Y|vwY!$zJAo$Sp7m1q|4m>~;8#Eu=MuGJzJyvNMd0oqSu~3GDm(o1R@|kq{YN6dB zwVLVG&~3fJwbqYbI)p(YoX~qm9q^v))?e zV$Cy0qQesT;LpQYGcEm6B@gLjDZ9!aH>r+yITlplvlRB(@|A%?mRL2<$$dQn{zix* z`rCGc84Zdxi~Hs^Ml;}?9242H1{@iN+gHLT>aM?VwDx}XwP44>m;jr-PP!rkG2cdU zHtOf`Y4h&0GyPB`(~i3iWG3%XXn|2U_ef${Sy&NoprvxC(VlSNWkIgjT8 z@!`a-dzW4)r{)`Rd3^63tWtbe-kCBDb%}K@i!Nd*`B3;dwTPu>P;U}CaU+8a-Tc6r zFR6${YDjPEkqK!*GW2G!Gat%z?}1Qv%XgQ8a;9?n<{wwRaB!C?AfuiR-Rgn5p(piO zO^Qz0`YvxeKa=1*wYYPjEl7DvVo$>8^?z_Z>(dDT&h=0yU8tSU+ML^;h+@O+91Qcf z^MS)C&uvmg6x4et|IU2;<$P8vc+SY2K!QL-WNaP5Y#|6&6fI3jkV}x&OTonlL!z{rA^{FUjz5lURhFuwgSDj%5Vtxd0a?4pq1@H{^?S7#_&Pxw?yM{wKyGL? z4ib@qtj%wnGqR^-c2-N=FkyjOKc}K%LkMcKcs%uY;npP3CnN_;8*}IhP$$$MvW+9r7*zHIoKgg8t)YPZ4;>VMTI~$M z4RjzLjDdfN|HBUyhFWX09WblkRbTBx!QaOed25aQeGKGa*6KqdnEch+Rh5FoqLL-i z(t)~11=n$Iv`31hzib=KaDyx1Yo)EXTH2Uj#t7skZOtJft58_W4vPG3%zxRP$f|+C z*HrkMT^S??MJ|vCe>01y+7WD|ezyfeGxnp_`v)mU2Mb$!K_L+hiqV5_Fokagv;cm| z*b|JvfMlhhk|Tu| z^d$lf#ey@xMF8_TZR9`zh&YLWAuup391X*wacJam7~&`lb`3E7u{33%XzK?62-#Nu$&WgyYNvwu|O zA}C`FHH{XRC?p#AJt{sFoT|@3ol#h7dq$wpG<}3X(dqyRM}l`bP?v!L6D}KRpg+Jg z>qZ&^iK4N41R95@sS5xcO<$t1lsOv8=Z|j!prO4Mcm!%bG!9FxX9NaCQwBgAZJ%SX zG&o0Ka5(DvAz@e~4GoT>u>&L=LsJ(d3JLb^*w{8C91o+h7X)yW)O;v3jqZ_X1dSa4 z%b-MD8}x_7(&`zBM&qb$2#LnvsCA0O0*j`WhlA1BDH4aEL{1ya#Up933ixo;{fopQ zY5EsjNmB+2hM>_s3I@PHRW1q`FSY(qFbsmay(rL^)b@-*f)-QD1BK9(fdc5F;ltAS zNfZi4gCjtru{9J5PlI0+npV$%hNr0u81tz69JqGsaRxL3O{*6)mS#Lh;b9nRJEgb? znsPC;J`sgS!l?BE&_*+MqhVm=qS7B40S5`zjWz^SKt1LG^a2f1^C5sorJ>_67(9x`|6$;G8hl{!C|Y@VER9X#uqZUO z-^JoFH2w+?utnW(I4lNFg;g-n(%JzCRjBP0bP#R)0>j{`$8IPrxB04GMxhX5l34Gl>hM}WmVsP#VE z!QRNynqbc?CI%J=S-KG@fi_qWWNS;gnFe*COcyBFnAw6OApQ5zX>bEACMA9PwCrga zBtjZ1D+7beN};4c;D$p3I{Y*eh8O=gEWdBgNR->~-%&oO8x{s<77#e2D$D$TZYxAa literal 0 HcmV?d00001 diff --git a/material/ab1_Lös.tex b/material/ab1_Lös.tex new file mode 100644 index 0000000..b12ef12 --- /dev/null +++ b/material/ab1_Lös.tex @@ -0,0 +1,526 @@ +\documentclass[a4paper]{article} +\usepackage{array} +\usepackage{adjustbox} +\usepackage{graphicx} +\usepackage[left=3cm,right=3cm,top=3cm, bottom=3cm]{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{caption} +\usepackage[headsepline, footsepline]{scrlayer-scrpage} +\usepackage{enumerate} +\usepackage{dsfont} +\usepackage{float} +\usepackage{ifthen} +\usepackage[]{mathtools} +\usepackage[]{mathbbol} +\usepackage{multicol} +\usepackage{enumitem} +\usepackage[hidelinks]{hyperref} +\usepackage[]{circuitikz} +\usepackage{tcolorbox} % Für schöne Boxen +\usetikzlibrary{circuits.logic.IEC} +\usepackage{tabularray} +\usepackage{tikz} +\usepackage{tkz-graph} +\usepackage{listings} +\usepackage{xcolor} +\usepackage{setspace} +\usepackage{letltxmacro} +\usepackage{wrapfig} + +\usetikzlibrary{calc} + +\setlist{itemsep=0.3em, topsep=0.5em, parsep=0pt} + +\newcommand{\bpf}[1]{% + \par\vspace{0.8\baselineskip}% Abstand vor der Überschrift + \noindent\textbf{#1}% Fettgedruckte Überschrift + \par\vspace{0.3\baselineskip}% Abstand nach der Überschrift +} + + + +\renewcommand{\contentsname}{Inhaltsverzeichnis} +\renewcommand{\figurename}{Grafik} +\renewcommand{\partname}{Teil} +\renewcommand{\epsilon}{\varepsilon} + +\definecolor{darkgrey}{HTML}{232327} + +% Zählerdefinition mit AUTOMATISCHEM SUBSECTION-RESET +\newcounter{commoncounter}[subsection] +\renewcommand{\thecommoncounter}{\thesection.\arabic{commoncounter}} + +\usepackage{xparse} + +\newcommand{\answer}[1]{% + \ifhmode\newline\newline\fi + \foreach \n in {1,...,#1}{\noindent\rule{\linewidth}{0.4pt}\par\vspace{1em}} +} + + +\newcommand{\currentsection}{} +\newcommand{\currentsubsection}{} + +\LetLtxMacro{\oldsection}{\section} +\LetLtxMacro{\oldsubsection}{\subsection} + +\RenewDocumentCommand{\section}{s o m}{% + \IfBooleanTF{#1}% + { \oldsection*{#3} }% Stern-Variante → unverändert + {% + \IfValueTF{#2}% + { \oldsection[#2]{#3} }% Optionales TOC-Argument + { \oldsection{#3} }% + \renewcommand{\currentsection}{#3}% + }% +} + +\RenewDocumentCommand{\subsection}{s o m}{% + \IfBooleanTF{#1}% + { \oldsubsection*{#3} }% + {% + \IfValueTF{#2}% + { \oldsubsection[#2]{#3} }% + { \oldsubsection{#3} }% + \renewcommand{\currentsubsection}{#3}% + }% +} + + + +% Zähler direkt bei Dokumentstart initialisieren +\AtBeginDocument{\setcounter{commoncounter}{0}} + +% BOX-DEFINITIONEN mit korrigierter Zählerlogik +\newtcolorbox{definitionbox}[1][]{ + before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel! + title={Definition \thecommoncounter: #1}, + colback=white, + colframe=white!75!darkgrey, + fonttitle=\bfseries, + boxrule=0.6mm, + coltitle=black, + rounded corners, + before skip=10pt, + after skip=10pt +} + +\newtcolorbox{extrataskbox}[1][]{ +% before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel! + title={Zusatzaufgabe: #1}, + colback=white, + colframe=white!75!red, + fonttitle=\bfseries, + boxrule=0.6mm, + coltitle=black, + rounded corners, + before skip=10pt, + after skip=10pt +} + +\newtcolorbox{merkbox}[1][]{ + title={Merken: #1}, + colback=white, + colframe=white!75!red, + fonttitle=\bfseries, + boxrule=0.6mm, + coltitle=black, + rounded corners, + before skip=10pt, + after skip=10pt +} + + + +\definecolor{codegreen}{rgb}{0,0.6,0} +\definecolor{codeblue}{rgb}{0,0,0.8} +\definecolor{codered}{rgb}{0.8,0,0} +\definecolor{lightgray}{rgb}{0.95,0.95,0.95} + +\lstdefinestyle{CStyle}{ + language=C, + basicstyle=\ttfamily\small, % Monospace-Schrift + keywordstyle=\color{blue}\bfseries, % Schlüsselwörter fett und blau + stringstyle=\color{red}, % Strings rot + commentstyle=\color{codegreen}, % Kommentare grün + backgroundcolor=\color{lightgray}, % Hintergrundfarbe + numbers=left, % Zeilennummern links + numbersep=10px, % Abstand zwischen Zeilennummern und Code + numberstyle=\color{gray}\texttt, + stepnumber=1, % Zeilennummerierung Schrittweite 1 + frame=single, % Rahmen um den Code + tabsize=4, % Tabulatorgröße + breaklines=true, % Zeilenumbruch aktivieren + captionpos=below, + showstringspaces=false, + xleftmargin=15pt, % Linker Rand für den Code (verschiebt alles nach rechts) +} + + +\lstdefinestyle{ShellStyle}{ + language=Bash, + basicstyle=\ttfamily\small, % Monospace-Schrift + keywordstyle=\color{black}, % Schlüsselwörter fett und blau + stringstyle=\color{black}, % Strings rot + commentstyle=\color{codegreen}, % Kommentare grün + backgroundcolor=\color{lightgray}, % Hintergrundfarbe + numbers=left, % Zeilennummern links + numbersep=10px, % Abstand zwischen Zeilennummern und Code + numberstyle=\color{gray}\texttt, + stepnumber=1, % Zeilennummerierung Schrittweite 1 + frame=single, % Rahmen um den Code + tabsize=4, % Tabulatorgröße + breaklines=true, % Zeilenumbruch aktivieren + captionpos=below, + showstringspaces=false, + xleftmargin=15pt, % Linker Rand für den Code (verschiebt alles nach rechts) +} + +%Für Python Code +\lstdefinestyle{PythonStyle}{ + language=Python, + basicstyle=\ttfamily\small, + keywordstyle=\color{blue}\bfseries, + commentstyle=\color{green!60!black}, + stringstyle=\color{red}, + numbers=left, + numberstyle=\tiny\color{gray}, + stepnumber=1, + numbersep=10pt, + backgroundcolor=\color{gray!5}, + frame=single, + rulecolor=\color{black!30}, + breaklines=true, + showstringspaces=false, + tabsize=4 +} + + +% Umgebung für Listings mit Titel und Zähler +\newenvironment{codeexample}[1][]{ + \refstepcounter{commoncounter} % Zähler erhöhen + \lstset{ + style=CSharpStyle, + caption={Listing \thecommoncounter: #1}, % Titel mit Zähler + label={listing:\thecommoncounter} + } +}{} + +\makeatletter +% Internen Zähler von subsubsection auf commoncounter umbiegen +\let\c@subsubsection\c@commoncounter + +% Anzeige der Nummer angleichen +\renewcommand{\thesubsubsection}{\thecommoncounter} +\makeatother + +\setlength{\parindent}{0pt} + + + +\newcommand{\curdate}{09.07.2026} +\newcommand{\curtitle}{Galton X Pascal} + +\title{\curtitle} +\author{Fierke, Janik, Weidlich} +\pagestyle{scrheadings} +\date{\curdate} +\begin{document} + \ihead{\normalfont\normalsize Mathematik} + \chead{\normalfont\normalsize \curtitle} + \ohead{\normalfont\normalsize \curdate} + \ofoot{\normalfont\normalsize Seite {\pagemark} von \pageref{LastPage}} + \ifoot{\normalfont\normalsize Fierke, Janik, Weidlich} + + \section{\curtitle} + \begin{figure}[H] + \centering + % Erstes Bild + \begin{minipage}[t]{0.7\textwidth} + \centering + Im Stochastik Unterricht ist dir sicherlich schon einmal die + Formel des Binomialkoeffizienten (Abb. \ref{fig:bino}) begegnet. + \begin{definitionbox}[Binomialkoeffizient] + Der Binomialkoeffizient gibt die Anzahl der Möglichkeiten an, aus einer Menge mit $n$ Elementen $k$ verschiedene Elemente auszuwählen. + \end{definitionbox} + \end{minipage} + \hfill + % Zweites Bild + \begin{minipage}[t]{0.25\textwidth} + \centering + \[ + \binom{n}{k}=\frac{n!}{k!(n-k)!} + \] + \caption{Formel Binomialkoeffizienten} + \label{fig:bino} + \end{minipage} + \end{figure} + + + + Im Stochastikunterricht ist dir sicherlich schoneinmal die Formel des Binomialkoeffienten begegnet: + + + Zum Warmwerden berechnen wir: + \begin{multicols}{3} + $\binom{3}{0}=1$ \\\\ + $\binom{3}{3}=1$ \\\\ + $\binom{7}{3}=35$ \\\\ + + $\binom{5}{0}=1$ \\\\ + $\binom{5}{5}=1$ \\\\ + $\binom{4}{2}=6$ \\\\ + + $\binom{n}{0}=1$ { }für $n\in\mathbb{N}$\\\\ + $\binom{n}{n}=1$ { }für $n\in\mathbb{N}$\\\\ + + \end{multicols} + + \begin{enumerate} + + \item Berechne nun nach folgender Regel: + \begin{center} + \textit{Die Summe des Steins ist die Summe der darüberliegenden Steine. } + \end{center} + \begin{figure}[!ht] + \centering + \begin{circuitikz}[x=0.8cm,y=0.8cm] + + % oberste Reihe + \draw[dashed,gray!60] (8.875,16.25) rectangle (10.25,14.875); + \node[text=gray!60] at (9.55,15.5625) {0}; + + \draw (10.25,16.25) rectangle (13,14.875); + \node[anchor=center] at (11.6,15.5625) {1}; + + \draw[dashed,gray!60] (13,16.25) rectangle (14.375,14.875); + \node[text=gray!60] at (13.75,15.5625) {0}; + + % zweite Reihe + \draw[dashed,gray!60] (7.5,14.875) rectangle (8.875,13.5); + \node[text=gray!60] at (8.175,14.1875) {0}; + + \draw (8.875,14.875) rectangle (11.625,13.5); + \node[anchor=center] at (10.25,14.1875) {1}; + + \draw (11.625,14.875) rectangle (14.375,13.5); + \node[anchor=center] at (13,14.1875) {1}; + + \draw[dashed,gray!60] (14.375,14.875) rectangle (15.75,13.5); + \node[text=gray!60] at (15,14.1875) {0}; + + % dritte Reihe + \draw[dashed,gray!60] (6.125,13.5) rectangle (7.5,12.125); + \node[text=gray!60] at (6.8,12.8125) {0}; + + \draw (7.5,13.5) rectangle (10.25,12.125); + \node[anchor=center] at (8.875,12.8125) {1}; + + \draw (10.25,13.5) rectangle (13,12.125); + \node[anchor=center] at (11.625,12.8125) {2}; + + \draw (13,13.5) rectangle (15.75,12.125); + \node[anchor=center] at (14.375,12.8125) {1}; + + \draw[dashed,gray!60] (15.75,13.5) rectangle (17.125,12.125); + \node[text=gray!60] at (16.375,12.8125) {0}; + + % unterste Reihe + \draw[dashed,gray!60] (4.75,12.125) rectangle (6.125,10.75); + \node[text=gray!60] at (5.425,11.4375) {0}; + + \draw (6.125,12.125) rectangle (8.875,10.75); + \node[anchor=center] at (7.5,11.4375) {1}; + + \draw (8.875,12.125) rectangle (11.625,10.75); + \node[anchor=center] at (10.25,11.4375) {3}; + + \draw (11.625,12.125) rectangle (14.375,10.75); + \node[anchor=center] at (13,11.4375) {3}; + + \draw (14.375,12.125) rectangle (17.125,10.75); + \node[anchor=center] at (15.75,11.4375) {1}; + + \draw[dashed,gray!60] (17.125,12.125) rectangle (18.5,10.75); + \node[text=gray!60] at (17.875,11.4375) {0}; + + \end{circuitikz} + \end{figure} + + \item Berechne die Steine der Pyramide: + \begin{figure}[!ht] + \centering + \begin{circuitikz}[x=0.8cm,y=0.8cm] + + \draw (10.25,16.25) rectangle (13,14.875); + \node at (10.875,15.5625) {$\binom{0}{0}=1$}; + + \draw (8.875,14.875) rectangle (11.625,13.5); + \node at (9.5,14.1875) {$\binom{1}{0}=1$}; + + \draw (11.625,14.875) rectangle (14.375,13.5); + \node at (12.25,14.1875) {$\binom{1}{1}=1$}; + + \draw (10.25,13.5) rectangle (13,12.125); + \node at (10.875,12.8125) {$\binom{2}{0}=1$}; + + \draw (7.5,13.5) rectangle (10.25,12.125); + \node at (8.125,12.8125) {$\binom{2}{1}=2$}; + + \draw (13,13.5) rectangle (15.75,12.125); + \node at (13.625,12.8125) {$\binom{2}{2}=1$}; + + \draw (11.625,12.125) rectangle (14.375,10.75); + \node at (12.25,11.4375) {$\binom{3}{0}=1$}; + + \draw (8.875,12.125) rectangle (11.625,10.75); + \node at (9.5,11.4375) {$\binom{3}{1}=3$}; + + \draw (6.125,12.125) rectangle (8.875,10.75); + \node at (6.75,11.4375) {$\binom{3}{2}=3$}; + + \draw (14.375,12.125) rectangle (17.125,10.75); + \node at (15,11.4375) {$\binom{3}{3}=1$}; + \end{circuitikz} + \end{figure} + \end{enumerate} + \begin{extrataskbox} + Entwirf einen Computeralgorithmus, der den Binomialkoeffizienten berechnet, ohne dass dieser die Fakultät benutzt! + \end{extrataskbox} + \begin{lstlisting}[style=PythonStyle] + def binomialCoefficient(n,k): + if k == n: return 1 + elif K == 0: return 1 + else: return binomialCoefficient(n-1,k-1) + binomialCoefficient(n-1,k) + \end{lstlisting} + + \noindent + \begin{minipage}[t]{0.62\textwidth}\vspace{0pt} + \begin{definitionbox}[Galtonbrett] + Das \textbf{Galtonbrett} ist ein mechanisches Demonstrationsgerät aus der Stochstik, bei welchem kleine Kugeln auf horizontal und dreieckig angeordnete Stäbchen fallen gelassen wird (hier zweidimenional von vorne dargestellt). Bei jedem Aufprall auf ein Stäbchen teilt sich ihr Weg: entweder nach links, oder nach rechts. + \end{definitionbox} + \end{minipage} + \hfill + \begin{minipage}[t]{0.33\textwidth}\vspace{0pt} + \centering + \includegraphics[width=0.8\linewidth]{galtonbrett} + \captionof{figure}{} + \label{fig:galtonbrett} + \end{minipage} + + \begin{enumerate} + \setcounter{enumi}{2} + \item Zeichne in das Galtonbrett alle Wege ein, die eine Murmel nehmen kann, wenn sie auf den obersten Stab fallen gelassen wird. Inwiefern unterscheiden sich beide Galtonbretter?\\ + \begin{multicols}{2} + \begin{tikzpicture}[scale=0.8] + % Definition der Reihen + \def\rows{3} + + % Zähler für die Beschriftung + \newcounter{labelcount} + + % Fächer (Bins) am unteren Ende basierend auf der Reihenanzahl + \foreach \i in {0,...,\rows} { + \pgfmathsetmacro{\xpos}{\i * 2 - \rows} + \draw[thick] (\xpos - 0.4, -\rows - 1.5) rectangle (\xpos + 0.4, -\rows - 0.2); + \node at (\xpos, -\rows - 1.8) {\i}; + } + + % Dreieckiges Nagelbrett + \foreach \y in {0,...,\rows} { + \foreach \x in {0,...,\y} { + \pgfmathsetmacro{\coordx}{2 * \x - \y} + + % Nagel zeichnen + % Nagel nur bis zur vorletzten Reihe zeichnen + \ifnum \y < \rows + \filldraw[black] (\coordx, -\y) circle (2.5pt); + + % Erste fünf Nägel mit a,b,c,d,e beschriften + %\stepcounter{labelcount} + %\ifnum\value{labelcount}<11 + %\node[anchor=south east] at (\coordx-0.16,-\y-0.3) + %{\alph{labelcount}}; + %\fi + \fi + + %Wege nach unten zeichnen (auch von der letzten Reihe aus nicht nötig, + %daher weiterhin nur bis zur vorletzten Reihe) + \ifnum \y < \rows + \draw[gray, thin] (\coordx, -\y) -- node[above left] {l} (\coordx - 1, -\y - 1); + \draw[gray, thin] (\coordx, -\y) -- node[above right] {r} (\coordx + 1, -\y - 1); + \fi + } + } + \end{tikzpicture} + + \begin{tikzpicture}[scale=0.8] + % Definition der Reihen + \def\rows{4} + + % Zähler für die Beschriftung + \newcounter{labelcountzwo} + + % Fächer (Bins) am unteren Ende basierend auf der Reihenanzahl + \foreach \i in {0,...,\rows} { + \pgfmathsetmacro{\xpos}{\i * 2 - \rows} + \draw[thick] (\xpos - 0.4, -\rows - 1.5) rectangle (\xpos + 0.4, -\rows - 0.2); + \node at (\xpos, -\rows - 1.8) {\i}; + } + + % Dreieckiges Nagelbrett + \foreach \y in {0,...,\rows} { + \foreach \x in {0,...,\y} { + \pgfmathsetmacro{\coordx}{2 * \x - \y} + + % Nagel zeichnen + % Nagel nur bis zur vorletzten Reihe zeichnen + \ifnum \y < \rows + \filldraw[black] (\coordx, -\y) circle (2.5pt); + + % Erste fünf Nägel mit a,b,c,d,e beschriften + %\stepcounter{labelcountzwo} + %\ifnum\value{labelcountzwo}<11 + %\node[anchor=south east] at (\coordx-0.16,-\y-0.3) + %{\alph{labelcountzwo}}; + %\fi + \fi + + % Wege nach unten zeichnen (auch von der letzten Reihe aus nicht nötig, + % daher weiterhin nur bis zur vorletzten Reihe) + \ifnum \y < \rows + \draw[gray, thin] (\coordx, -\y) -- node[above left] {l} (\coordx - 1, -\y - 1); + \draw[gray, thin] (\coordx, -\y) -- node[above right] {r} (\coordx + 1, -\y - 1); + \fi + } + } + \end{tikzpicture} + \end{multicols} + + \item Zähle nun die verschiedenen Pfade, die eine Murmel nehmen kann, sodass sie in den darunterliegenden Fächern landet. + \scriptsize(Hinweis: Nutze die Beschreibung, dass eine Kugel immer nur nach rechts (r) oder links (l) fallen kann und schreibe das in Mengenschreibweise, sodass du keinen Pfad vergisst.) \normalsize \\ + Bsp: Fach 0: $A_0=\{(L,L,L)\} \Rightarrow \text{Pfade}_0=|A_0|=2$ + \begin{flalign*} + &\text{Fach 1: } A_2 = \{(l,l,r), (l,r,l), (r,l,l)\} \implies \text{Pfade}_2 = |A_2| = 3 \\ + &\text{Fach 2: } A_3 = \{(l,r,r), (r,l,r), (r,r,l)\} \implies \text{Pfade}_3 = |A_3| = 3 \\ + &\text{Fach 3: } A_4 = \{(r,r,r)\} \implies \text{Pfade}_4 = |A_4| = 1 \\[10pt] + &\text{Fach 0: } B_1 = \{(l,l,l,l)\} \implies \text{Pfade}_1 = |B_1| = 1 \\ + &\text{Fach 1: } B_2 = \{(l,l,l,r), (l,l,r,l), (l,r,l,l), (r,l,l,l)\} \implies \text{Pfade}_2 = |B_2| = 4 \\ + &\text{Fach 2: } B_3 = \{(l,l,r,r), (l,r,l,r), (l,r,r,l), (r,l,l,r), (r,l,r,l), (r,r,l,l)\} \implies \text{Pfade}_3 = |B_3| = 6 \\ + &\text{Fach 3: } B_4 = \{(l,r,r,r), (r,l,r,r), (r,r,l,r), (r,r,r,l)\} \implies \text{Pfade}_4 = |B_4| = 4 \\ + &\text{Fach 4: } B_5 = \{(r,r,r,r)\} \implies \text{Pfade}_5 = |B_5| = 1 + \end{flalign*} + + \item Dir ist sicherlich schon aufgefallen, dass die meisten Pfade in die Mitte führen. Untersuche nun die Anzahl der Pfade zu jedem der Stäbchen und vergleiche diese mit dem Pascalschen Dreieck. Was fällt dir auf? \\ + + Die Anzahl, die zu den jeweiligen Stäbchen führen, entspricht genau der Anzahl aus dem Pascalschen Dreieck. + + \item Gib die Verteilung des Galtonbretts mithilfe einer Zufallsvariabel $X$ an. Wie könnte diese mit dem pascalschen Dreieck zusammenhängen?\\ + \[ + \binom{Ebenen}{k}\cdot (0.5)^{Ebenen} + \] + \end{enumerate} + + \label{LastPage} +\end{document}