From 67dbe132dab701074cd7a96e959ec767438dceee Mon Sep 17 00:00:00 2001 From: flavis Date: Thu, 14 May 2020 19:24:21 +0200 Subject: [PATCH] add la3 --- sose2020/la/uebungen/la3.pdf | Bin 0 -> 123910 bytes sose2020/la/uebungen/la3.tex | 267 +++++++++++++++++++++++++++++++++++ 2 files changed, 267 insertions(+) create mode 100644 sose2020/la/uebungen/la3.pdf create mode 100644 sose2020/la/uebungen/la3.tex diff --git a/sose2020/la/uebungen/la3.pdf b/sose2020/la/uebungen/la3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8378a74455fcaf6d948ae4bbcc6f53a6d51cf955 GIT binary patch literal 123910 zcmb5VV|-m<+dUZDw#^fxv2CldZQG3++qN3pwi+~6V>_8Xn%~U-$;{h#pD*X*b+7xv zTI<@ITtP&Po{51ChJ0pWa0P~)2tZ_KXbHo^1H&j|Vr%AXPQ=2y+h2ZmA1!rIxy zk%&>u+Q8XF#Kg$X*aU`;55~#a(Zs+8#(i~PN7D|E1I2f_=Ex@@4z7Pk7Shw+(CoWD zs5?F|Y~@+lceZ58u zd>aqM^y7a%KRwDI6u`{(AeC{rFIEV&P~?n*tE8V|h{PQJSUG1u$(S6KlJaRyj>{x~eYUy`C!e)F=ifA+Nad|v&^?@gCm}dodQvZ)bbX-kzXt#*fd-`{nrzNWA_pes zV?Q$XYVbrz(tB`cSM_RqmOrCtiN77KN_k>;S)2-{DlI74SgbFQvC?&7g$bntDKx+y z9bD)lhRY7diU(CHInvMjW>@%TGTQXB!XTs&G1_8FYZMks}DwM<(3}pB2Q?!sv?bjxg49 zoLqiHH2zAjSIK%f+-==tLM4n+=0X#(#mW|OV#g$bVHdX0le zd3~AjwVmYqm{qDGJh&Rf&kJ@tP4pjroV`We!=+vArNXaoXJ;StZl4KHa%aQ#VB;{PJEeNc}*scSaY?O6w#|PQk-`5}FXy`OCii}HsiZc6F9b+F4z5F|;mhrY@ z%4{w{qAsm7$Rc8&I>k8|ZAKc4U~;F)}9G3u1(s9cUM}DrDlNtI``3FWfhCNl&XWQOLjjC+d>~Q!B51U{ z8?@1Ld!oWV)}=f_tjRQhuM8a>Ni-p91w~S%%i^$1@u{*9nVEuZv@=h`t|S$P*DNU+ ziAh&oUZR8uS4g^CWZSTM^Tl`xk{nb{WNcM)Yq5Svm)O&Q4A+GfXa)4F1~rlhU4E}y zZ5njEK|;NuN(*lPxs<~=9*GHfME1E+aqhy^0sHHK{&R%lPx;c`^fPa9Iv{E2S{AlUL3A2+{l23-F9RRN%LkS@(x=e*|41LYTbJ&5Nri{VJjbjiLr2f z!^-<)3k}HXnxIU%;$SzXieHK^ATq72n4-18Ksd7~sAFEtUx#!i*|=MYkU@oHi6IbR z(`)Dv{CdNB=Oc9_CL+X@5Fz%o9|1l8*)9s3#o?s{+!) znp(0$B!f5HnE3`VEMWr_SP{KsMAM#;qM4QUSVbFx(d|c7d?-lpT6<}kB@VPgtFbrH zVz{IlN}kw4Y06TplMVFmD1M$KsF+xChRbb3CtW_C&L<6@?c=xhiZju>?W;v{FA)Rw zMtN1zY)W2>oy_x!5Z_#Lu62ygT4RY^F0{NB>-+cj^x#YUHWmgaywDXKL`r&ZwlBtfO@kQPD%JGPYr z&{Di*C^SJRhr(fMnxp0wLq-5}Jz174se;S-5Dp}WN87$Js#RCffJ)zwnIn@qM^0GS z;qNx>`a~U`m<}Nh-!=Jv13(P8)(vf_(q@dzk)_y$*Kh{u!hyUpEo4spIytgBHkx(w z27&t~;E^bxk+}MSL?R^3&I4~T-2{ouUWh!P?nh#;!N49K4+41gr|?2I;xcufx@@6} zH{x_oLvK^;h3&C8$nd!l!6EI1=R!@((oRC(ar7ko92gt@(zWh)*f~_MZ*Lvaz}c7a9ac$5P3Y=UNoFKf<`6*iyZVs zvZ$wRqn@l|zmR>Iinoq0;;pw3Lj20*tWJR7nfVx)f!`3%9!asW7iDe!rPKj`&kWL4 zCasnOVrVLY;Crt|SRQ!FGMGh`)b5~%Z3XI&vB^{@1(JGF87Tl2bYl3^Sq6r z=7hWqai%fRMqufhf)FD~2wrTP{-lVLED_K5G2p#&>LSNH2-=W)F52lvfg{ae~J|KIFGEoJ@L z(}g)M$_ccR^^d%~VR6oO$I$8aD&`r{TFSQhY}Yl#ugg!#d{wHhzZ)&fX;)w0!Cmqv zteO3!qso}cak0OCSC9@Bf{5)8mh9lgvRq5E+C8ZOjbFXe#k9?V;ypZi3TUTkZ(ofd z$mGUS6Bc^a;_gY&DSd}dfRebo%9SLut>Et;nXL(ZAvau*XTJeH9u-u}Tqx`dR@tZe z5T2xjU|G82rQZu=sY*r>8IGHr-|uJk2U3*5#j^L->?QSRDMVRi2^I8_G`VO!%sJt^ zgJ+5+=3%MN$TL33fQROx6c)gJ*;3AhW?gq-2Id-zYrC7 z6^TQ7l$8r|(6<^wsFO}G?Hw7p+Yb{!oj3yNkUM`}i$BZV&=+BiwFtxuc5I$+ZW@I~ z;(yrh&U9BW(3jW=FWNA`+{EgxjpMCCbd1O(zlDf=<1HbRN`H8wHKmaaJ9fX&qi;q>Aw9`oplf1aJcJ8M|UX`f2jVlNW>y&zpjzBqLbn=a|$Nasr* zds>cnKBd)~J7-!B4!IzdN(oUV_>FQ3_thP?Dg{rI~3j>8P$z{o>x@U{B(A zOed$GhY33~%B>oMjWT@7qw4vI%AVoe*m2&nMGIO-KcTk zPhOlYhSCrQTrFMHlx09mT3ydl7me7HO3VKIv1-IGO3x7i_Ie(sY;*n{u51IfQ9i`|9wdN4`e ziNl^Nz7JmHKoc-e^gKdd#WBm+n$W!y$+@VdmWB1yU)OQ1{Ulay@-bF5Fr=qUEvvw< zKR(zA{+g=oEElz`UhniqYqEsW_elD-@|1qh#DOsr(sG8cM@?6@M?@b5ws>p&rqq4K zh2MgIa@s>%Rk7&IF2dXkm2fF&7s4O*qgWDtX>&t`Y`P zpei#W>|aOB3N3~J+p}_pOWdNwiohwSj{(0Ce09+)1}p9!+@@v#osYQ@P)RL`3cGc$ zKz*Cb8@c@(G&(hS0NKpjPp88^IB2vVc%Xt>amS-b`AN>|iB4;;#d~bP_z~!OF;VFW z>}ND0WqL#-=nun|YQ|j+*cyZD!e>yKMMB8cCBHV{hKKfNM2^#@{Vl_h<8q?zHJ$2< zCc-WPMizK2iWRJ@Jodd&?u(B~dTw8Fo9E|w&j z&8ULCCr5p=;IL7gMq!vPx)}s|#`;x~qnx7vXZJkLV(L_|9V?K9Kq?i~zQ!RfF7#kJ zh^a;cF8j@%fkc~L7f{q>6U+^EfWwf(s7Vm7I+ORZfH|REyMYjj91-QAAu35 z5sZng@xP_$pMU?5vCPb$=vh_($KUGNMIA{e++p;t8}%(HwP4o^SX9D230FGCeTm9K zseHsZrr=_*Kn$q##Q4{Tj_m9rvrE(Yo;5-x=ttcM6+wiqo?$@h~8SUfIU{s&Bt7{5;N4g}i zFdUDqX^q^wCc%&0kr+Ug=@3<42%K40Ze&*oKi!(d)yB_^kbLKN)$5qdCq#V`40$qW zQ~)3+;21D8BphB;j+0Nt98I(|VmR?O+%JhmE_Y;(0pSgBeJ5weW(lVDI+ewr$_sa` zZz=+WMGct?*)*b$0dP>vp1wD~Ag?i`beOdZwEmXB&=f%?AB$f9Ko`-?FsxgZnF!Rc zH6%kMZTTj~Nm51&(J@t`z_xm9*L)m?J}t*zMZVo!ndv| z7%)(F%`_jhM6bOQF#_j$h2L(idSDEoCVUsy{5S$Zg%-DFyl}qj;~w@4zjo; z+oSez%DXU3rMa}p3Rp%zaOqBS<{oFcmW$$lYMO=?6m+kkvP{6wNG)*|N36hNXL zgZ33ur3oykaE{F@A@2awy3Ith7UzNnQEPlW9rvF_`w3NPsL3ViC|{dJWjHqPD=;gC z{eA?7=>x_A3N`h7^%bG#Lqdzm(E%45IZ}2fM}%XN8rNjz96=sbYSoI}#k!&e&IrzX z3r?V$5|A>B#MywRb*pjf`z9s> znV{o#1m1fu0Y4Y?)Ye+Sw!xtC$C8Lb%4*5Cz!=G1U629Gf|0a61c32XAYQ=>Zh`Wd z$CZz=*@{%Dpe@B&YS-jmCTsLJ_-05*z!DKy=n;m5B~P>!DLKk9xDF)0d{ZAcKIA@Msb8ivpo_1s?#mCHGM#Xm)8qb~enB20;1ii7S%t(%@M?<5?f~ zx4x50EqE8{eGtl^GymBl(yH)l(QoNr_)`Zx@`l4ZWXovQg**_H<7F|Ul1%9doE*LO zk24nyKe;3;V)uSC1`h!RI`oL%d7M83SKioaU?O$F#+3u_%z>Wl%hWYC_O?|^kE0cr z&ML~Ez?q#v6UuTudf7_#L5{$FP?~tZGBh?QGxHT7&SlT4CEAB?qPc_Nyr)Dxn+S-t zAJj_$mn8UQ77BVMe1V&`+q9cg^+ZL9Bz~YeWSl>1`%;;(wFn|uBI;6O*NiDNR_oeC zI$B?akD_2Ac%uR$7d1hXxbaNCY0LgXwn5fDt{eZXFERJjEngMueUD9EB!68@-1=>+ z39(k?m{K>J0gW+mnawl^F0PI8scL|9980;H!ySE*%xYnxh3541n=Zc1H(i$`MUnu_ z>15I0KDepqLK=^IH1K8aA3Ca)^(m4g%cS44fI`h{F@Fho<-MaqHVQMh;GL$S+iP{> zJE@rMqQIY}CJ&F$wgG#HF2xOdhI~_e093=c>9uO&WKZxM0u}Z7Z$kVkOhjeA8I+kjr2VGfNY7Feo09f{ z2W~kzfw{OfIqBlwcH^>R9Nk7LHJBu}4$v-$)yls?w^6a%_^yS?Cl1iQqI#IT#21vH z8o(+DV{s2JuFdNjhz+yc^J4Puf*>heH|lL6i&(J5fcFeckD!Za}k40b@nTSi#Kd|_~sJa0{a1%G!{bTF5YG}vcq=T%r zEiu>)ub;O-n*_}z9eGYXLp)AY?UM4Gs4r%l7pBi~{w(CNjeoE{Y`(mz&3SX(H1=~>}Y!Sy7^VR)#czLD$?y!6;+DfN5AS$a+25TMx|yi1Z7N(V)gB&vJS za{Q5U2-izR>BN21c@=)N#}29Lok~r;58pP;oO+LUlAuc#x>wLaB@$R|^X=ZY{0+4C zv?xfdhF;W=wBcYZpE6u|jqX*TP%fzFGpf)*l ziAH3~u9XlD^;U*d!)xP(Rw$LOuJ#Q@d{KAS+NH~4!e23%#p5Df&-c;T{O6RGp~tjW zy%$A_4UKKlNg&#)VyiIw*Q&I+mex9#4AeptfLbjhHPPdP;N6rb%8~3%$xBifXCced zR2|%tg#2GMzjG+_bav`6Zi4Jxw|2`L4C3*f2|2?vsH=9sxpD+ut4l`K!Q!2bDf&jJ z2a}?HA;)1zTH%l}@w(nmp%lG0&EN>#EEIidu1WK5k@fqcieu;nbwFH-$X;^Ih{5;u zB)0aFJ~T>QBc6bh6f3yw;HT>DFOfo3QTnp=4>w_qvWZmz?VOebZ&0CqdC!4o+aVMKezewx70~Uy**P!b^U=7v}lx#vB{* zW3hhU5$|bK9ju0fuz6Yiy;M?R71m&HO$f5yt?Oo2YNPf>h?(Z@7sKug$;UGvrA3uO z1|?e5lr1d1w{Nbc|F^qRK`49jAIGG@xboqtD2(yf2+{>@I_N3=!$loi;?=P7--UrI zpLjjd_7FRY zHC2f(pmUlzUuj@UJXU$6m3CY8S^BWHLp+d*6;g+lH)DoeV#4b0AKsfx>(|^|q-mjF z8>3GGqn{HNCWGz!L1SEFvL;P@wIsVI?z#sO0v9K-BV|}~g~+K09TblUIzg$z^9;dg zv3$P+XoPR|=AXk+vXwZ}FUt+GG)YD2$jGD0xVwH7MsNnl55=_ErKbRpq%TItyp-b` z^Sy!WD2!GD)zQrpE{BwRLRnaS@2-rQGER(oO{`uXBrtd?{lEm{<{?S!PVyywyhOP| zubuXZo-?HYv%0ch5>y=d<(spP;bR}(w3A#0e;rI<`}&SQrZ4)D2xn`kHL&efX^U#$ z?zeGpy+Fw>9mrPc^+RbCBJ(MIl)+g`qSybTNzbLPGsyF-Tnz*K**M!L@xJg*`@S6d zqll~~o^2K5Y;TtFXY)m=>xJK3%mOF)6p91yFSi$8v82*p2Dr@dFw{kg53SkP);Bp; zDWe4OQM%r2v4X=;X%=?TU}pi>a)FA))vD8W-Xu|nveB1u%|4IK3Y$t9l~7rXjUwC2 zV{)4)_7UnBE#&KQ^@N0Pcg3#N-1+57=#jBe;pLs45q+#R488|oo}RGVt&*;Jl?e&w z_Kv%#>D3iXLnyjz5%9$cHcsGP+C18)iN|saBC@5zkF~?DqvZsrzI=PGFw1nhqVu4f zZ9|~^$e19Y^3r*T@6VisD5DK_)azbiTW#cRP?hr`QD{0(afumm`~npi7%dA5U11qw;v=a z)83$USL#FIysyYOFuzsN`!&?~qibk}zJx}AF&>O2zf4n}mQZsdBeBYVot8HiwdwuX zH%3zA-|ov`_oD|A`XQFV6&*@V;@qGxJK*IPg1auFXUsd*=J)}7#=^-n4rzr+uj31R zbnO?0l=S+EJo{|j$jZX`xAJU5M>7Gp8QFL9D^u)xJT&OhkVy*dcf_JoDW!;lavlj^ z4b9v1QA<_LDwJW#cP~DD1O!t6WUJ2F=)B`7MGRlpyZ`xi*mU=MPY=rC{n|Z8ENW_fckw}>O}a(Cd#Mxdza4V zWp%sz$!8zGVLh<(P9Pf(7*(XJ_uL@qN$PL+ME|%OxGP49@LcG*}oA zEFz%e>|QRsT(pf%!lWiKw7C&o8={>d{9iqPomRUQ`M5g(UO$pHT=_+AS2ljMPnmL{ zFt+=2+nIiN^!P)wPR| zN{W-|#M+o=k{Vl$SyOM6&nv2qCvLmU2`k#(c&TZiYTDj@NF~2P0s6pU#p_R**={#- zf=`Q|L}D=OLteZd{p=FuVIY18dGg$0<$)EO{Z+)OH$4q>2wHubSpu!Giq|K)q|7^j{bq`1 zkHm`}=k+KdArz7A@5mlKq<%!SC31nXBQG=U^7NQi9OQ+Wq#nW{dl?3&6PxK%Wq`*i zad1i0mnDc(mP_CE1&X+sGs1XJ)LrVc%eC&sutd?V_E}g?Y!LQAmHF(mlI}mX62moF zevwnh5*mamObETKddNNWSQ9@A3rapUoI4g%Od-D9l8y+7YnnyxkR>|GmmS5B#z~Kx?J0i2;0t+%$B=x@m zH_rrH?4HlxPp%Trd3DQO^rk?WfdyV=mh(R@7K!@4nWbm6e~5LV_K#$YaZiAX=ge}p zba0e6Xeqf6vhdo23mC%Z4p+G1Y8OSXAKi;~)>J{P(pn>MPQY)fD}s?(7dVqzeZjvS zaHdGs8>y4Swh~oQ+MDSb{uPSzR+&3nLM|0pE4t7p&r`AVO2-&|gYSe_?MxO&tA|Yw zLeyU`YnpR+XS$w!P*?ry+InvY!>CSS&+{ghwLssl+U)|o8Grq^v2Onc77Njr>H=DBjaPF;9)3XozGfGc+ zGY-S+-UQ~_RUsic(S5RtrTx*~D`-J;u7pc|-;SXQFRcy4kZX6OUvE03JxhoSwLObM;|z^^ zd77E87iUKtWP%$W_H`0PF-DP~{y8i!dDb5;n`X+ffq80q^Y+B>~ts zYDJM_=rWc)`bn0O>>Cu;1}KUMjX%Y&8VJ8)BRwEI2&X>wXQLi>s9P2+5~A&wg40}+ z+f4g%d`B&M17)R^aH(b)E2p5eDflbnUwWME6qB(-E?G9lbK*mKHVzof_i$So8a&Qz z2tI2b)4<(0Is<977=C8*L&$!rzS@vXLfI+VmB@>Js#AnMS8!m97dgAAbcY`i2OXH9W((~tkrx|0NB%V`B zgeJIg8ga5!amWA{>5(pMxQ)%-!NSIpjyhzsl|q!hc3|7tlPayGp^%dj2v;JY_N|px zijDrV?(*_N#TA)5IiFl^=eP>l@OEhMYG_x_9C|*bH5#IqUfw#USb$o%J452;MAleHprba zXlv#P%30-=qUPev!3Ug_o4`ae4lkAOs-UKUBtf23?O_>3dqNUAzI)y-f#Q`H?!&ZV z9gT>8JvOFEkdiP@F~Swr#(I^uu7E~e3BZ|jMU-GQ?1+b5^*DVY4BKW^ z$!s&|6F&C~M29()X@U@Ql78Sn>xjNxe_Dj0oIHI)l*^hks+8corJ~wf0H1k#v=1C% z4p|D17;FdXR)H18jKZftd_%_27r*CrIpC18lEJ(?gSmK`^(wcq%2IY=8P@66hBv(_ zS5qKrVQ4Z@`}$*6V;)cG>w2GRK!9(mAp^#g62fKL1DEx{WKl8oL?+xK#Fh=+>apP3 z80dA0-b4;PTf%%lo8OId_wa(Tv!D!}NzhgaI+863TDJkt^+$H^Lt{XB;)gJSW7(+o zgpb|cYDZg-A8KE(fbOeCiz8vuo(tcJ?xSC;NC4a|F&X zh*Y>9-gulz$Q^LfCIzOy)I87AG;*}6Ovl7<7{UPh7N}-=8BCr-g@UH}q$r5I)V%Z* z$f~v&n}s<1+l$jWB0`|lP0YMUY?3m(aKj#M&ip<-j|n0EWGWLtSmT$9Xf72$7(jS4 zm9Y6?v-lh)zp6PFgzOa)@V5RyY<=Y!m5pYQm{v3UbIY6%@l|##gbS?^YyoNsWjV2$ zsul};s-SX{6wFo|V4hEjvaGW@m4v0I2|FhK+-QLmBlg>ItZfRlESNABP*O>=LE}Xj zD2_~z{#o&+M-C#V{&`JkUbxGyCfN^j8vABF;dXOZ-g(MZ$d(_^7I^)2;`LcySj=i` zNzgn@s1UyQGZKZ##=boS?9yS0lIw5X!r?PzJx;8YN}WDW)M=2b4MDMAiGu;e)kv4r z-1es)xmCS)zp0{s9Zbv~N_)Es%y!|UB8Rwk+8ho9O+UTK%*gt<n@@4tyvfzmYI9qs_Lg-a2CuuWG`JW$ul(d=K#%5>L4`Qt731 zJvJSGR&I|1d%ElgH=|J{+$^{MW5S@wR`!Gy@f4)oMCnCZzX^m|&Ib`#T}SZ|*S}fo zPrr_g8Dr!7GHyR;Pu2;p+?k#P_n>{icFU?u{I_~zVf*jp8W+pIv>Or8|NOEj3-cli zlQKY|7R*psnkdO|M0EswCtyIp*^wb7filInC6GL&3o`ujR+WmHMs|PB4aQy#us7$X z7|yN&2;aYUR@^eGwJWuIL=1p)fn$f$sm|63&;e3$#+v^m*iWP;Gb`J_qy3+QRh{`F z*Drtsu~nxel0GDUnMq_NO;`9WF$@h;LP3#;Mo3Z+?1vL8;h?yE8p+u8M|&@O$lYYM z8$r8oYs-xqPWQ{$YY;xoo6@w)D0$F>yzcUEy$LTDuha4h!n2phn>^dM#yY8uB|Tc& z&BkBp6T(oK5y8s&=%ZfLo-?DbcxeG3IwaT@j;`3WGL|6VWuMG1sVGQso-Ac4;i zD$&Vo>j|v4`rD#J6{F?{QiD~|4M@?0qua3U4DQI@Ls2V(IdE|Kv(!9Jpz%jS_9H{` z9QckX_Bl+1#WA3PpRyDD$a#yHi@FUh@W1WLmNb*@(!CI$JGLAnKE}2aMsQ7>#L@#c zAd-?8Z#g}D{6hYUlOGl%)cjooHB(zY5fSSIb|J=0^-{aY3RO0VRSZMSH|iPf_oDmZ z*mRQre88!Y$|an6_H4TE7Z|R)PoUuXZzz}nfWIy<-pM-4K7BOsEmUT-^LP&PbJ(Mt zy!AjZ@h{uJJ zP3XQ5nQRw){kq93HrA1--U{T+C}I5HxUd2~!R0>|*I%TF>U5pdz&{!fzjYm8@C+8O z`35ANPFx~Ve~YIVEl>@^uqe5Y8V18LMSM;Cr}zr9D3si~GH3ClzN@KgG2OK8Ah^2s zK})5F?o~qp2Muhtk#0#!iTbK@;--_Pf-k+rSUc{!`-gX)x0Bas%r!kfCj&v*8Z!wH zJe$y6(=x63=5t60a&iQPqPB*e&qm+<(1qzOKV+lO`t+?}oP)tLI4Q!6cwF?#G@PFd zK!F9eluEQ@gilc`c}CDOmNnuzxMn~u&VdOzH;{mtI9<`h*x`=8Lf@JpYJCI26-6el zTR%BQd$m`Zy-k!pe8X-wV3!0QJW&egi;*_p$LXCNWf^;b*-$49=-h!SH?+D*N z`~{Jw-+}!=Qz|Ici7Wcx-Nvv) zm}V-Im`kc?KU3-&HrYg$zF+Wa16jE)T&I!6;s&zCaC~Z$EZ98zoMkSGO346uDikhY z?isX9-x(?b^oSY-aWnlk7X+>S#~bQu0pjR+$xGZRAXteb4?1cXD_$_aVqPcZ-8nEC zGR!#cNLb*+^h>bYnx8)h8{ZbAcx^WMf8)vaNewY^as4%(E>oQ_eE=lLOIqw;?Q5u3 zN=Z}4w|oOD%m8}i$mKe zh1*NK>>Jm)V?uE&g49Aur(ktAzbG6BpB8!}4Rg?jNuK%}9jy(Z7LR zz{*r4w}D%Nvp{ikg(q-xQ*k%vEXj{j8lNh7=|u{QW)8&hw5*f2k|ii6>IWO?K~G~7 z7`61U?zh1D?AV7+_^GDoBk7Yu~-VLD3ma~2@S zjW=RrvmU1&WlD;#q@o!`Uw!sG>*#MY+l7B=;(v5lThp#S39b?`_}a;f=O?fvI|Fmf zx+t_7$5MYysc)bUD(`$2?EeWIpSE%?UWjuks?!3>56;TS=ePTTp09d3ka24WZPBTJIn$Ce@x6HvFd(C z?Mt4s!g)lUT?gQDJ7|IfqlfSS^XJ1(x!0bw`y#L$&Hw|90!AKN)h(=leEi&8U@;s0 zF|eYw$!Bn|e3Bh(f6sVX>K9lV75=nN2m@GfW!QgpP9s#JO`rjANwPynE)U1!Fj}k( z`(rO4(LW8;2VE*sO1bqm3nUXAuJu+IEgv2o&ajn77Yz$*j~@U4ynpof^t^xY$2}Bu z1@yl6en5nNKz0ik&Cfy^-pxfnetZx@^zQ#2 zMIQkNiqWuR`{d?X|NE%S?5uxX2qAHuasvRkVO=JXYezf#J6Hj&AF65L&Uh&Jar%aw z|LnI1xA5*o)=?coWCZ>(9GQlvjY5Vbk-l}O-TXUE{KsF)OY?TyN}5Uz5(zB5hnkS> zM0J~k&vWcqayyHf1ih$z8~f2ayE=IDH*|88qg|!j)62i$HGw%w0VVi@y1(xz0B+n^ zM=!l}&R`jgxB^z>9bnMkM(m$Y9o*B)?dh()bB%pKwfOmcJKqKC%B~ z=%F8Rh6d?8LI>c^sJ8tMs{f(qE?QddnRf?&$eKqmy)qrP8I(rEB;=Qm?we`C`{tJz zTmn<6N?}fVp?;&oG*NEH{{5;op*KdOFkIuvNPpI8Z>m9T9 zhKV4#$zUR*RQ0HdWr?$sAu_gs6N`o;aVj+*y>tyMPH8Y{z`8&i{D!a&6+*HCH5N$` ze|{l$mIijIAlm-sQaY#7?}J+Mk-loBziR4VqdSO+P45QDEz=faUC&iCNK5ENMU;QE zE-eFW5Zefk(tLpgP`)F70^TQ7mx=S=8~nc@=t=+JAOdg@TgkXEn$HmI^7`5xb44np z=pBMHqk@?Wvx1683bnCI|6pg%6)Aq@&eueQWZOdd^B(E;1F*Q<+afpQ#b1tB4!#%8 zac-6Z&jO(EdMI=!;{Mc$j|$I(`MQkB+C(rcEMY14YT=R>^|- zL;RQY2+sZ#puG_U+D*HJiN5|5#M;A)PP3a0DXhg_Q({|uaq?mOW{ahwNbA#ark=+} z-KO+n{bv3|mseu!!!+joNr@NrPrE&Zv7M0(G23vew(Q6wF__shOTUmFV{hzHtSAB* zFcg6vzdiQTQ=6IZ>ncQy`{A+J7=zJ>D&G)luD?M(DtyeWjRlgz;=}vcOmU zKX+0REp!xZX<>^z98u9D5lvh%z%xaiD!0R8++N`qSc9ED0qv6+!_4&eT511#oh67M zQs@WyRxeVcEV8{G(fLN2sxtJDzdDqbW_XeoM1HE;!>o6r7nn4x1GASHx$0?_!BeQ8 zTgl^xn3l9Qo>SIWC0Dz38IR!riRYcIJb7Wczo z>y%;WVbrlUxW>jGF{}Q_q#s)k`%jxyM!FbF2lF@aj2ymDF_}?lFc>%5 zp7>3{5i*Y_lB>LJ8yX^Sgk1~2Z5iP__+a8pQ1O1?Tp|L_bZR9hw(|3>^3NOqqoR*O zz0lp5h01ifM6j;f%x>=nXzV9zybmAN4Iu^4u_@MbsZb!R6i5<6%dlGWDYA~AoPS1OPl;O&M!A@DWn7VR6#rG6J$OacuXAsaqj7;@2~GM#5R;3*gZMa&TM z+-wa7c}#E!Y$9X*Qb?gcVgUXF*FFJ>4e8Dp_y7^^6cOv)PyaPm>e^2~&JQRF-#(r& z2&^p{S?FEA)~~1MGAQpA611N%^sq;u&WsO%Z2zMfRPumd0JTMjw-uxn=m)H`$tQ>Z zWMKVoNK(>Fw-l)0AChGEb4MR(t{94&G1n`DMI5A0Flq}uuuLgD4v9X5DpEa|CDt|8 zF&1C~Gs;b?h}2m7guV&zOI7w`K5`oK;k(a_b_eWyk&jK>$0^RdpdE+AN!c^a+}~qh zqfpnox|tv6ZN0kV@^VD&y2|{e#AT3*?=QCk6k_3zLw^~AK7r9Mfhjf_44uQNLO!nLG}F z6Y$0BI!gKOal*=|cyWd6Tvn618LtG&2bJd09g{3SBK|lJB#6T0Bjrh1N(v5d?o);eW|quK&0Rf5B;4nE%LLb$|kp zfv^*}^uP3=G|@EB2yg_&e|!@S$73&lDEY4;@%eKq3_c}5X5hjMK7ZPxFnG{E`yzIz z=bw%U(3mFb@Ag6gfx!QNT^?hs z-`MXQJ^H*saG*>;%9#Il$W84@T0RN-6V}J{CzbwQbpLw^3vKmLN=jHbT(Am=MQ$yii}{XN>8;-;tGuoC})E^Ckw)+-sE1{R*Be zI4gLB^17`}l_P0UWJlsN6{6rzlRKvbxA5GuF=bu6P20tY-qw1VBlPy(%@?_o8p`$D zVJLT$?QZX8RQYyDzF(?#o1EY~>?jJPAfT~)`oeifq=Q&rk1VO`1#y$w{?yAdVK}6@ zi(SMd>Un!ac0g&ti;Jy19#@8e+!rd-Clm~3&#vGChZU2|dC094S^y7RAA|gmq0PF< z^{amS_$;I!JceRwgyL0e^_jA2S7R!xx_21m>m?z1txd-#Y4a(k`}--B6jz532tW#r z1;nlIklM@Z3)&d72+9}(W=DHD%L;lbnh-k5)~?m3uGyVwqSwr z$6yl%<F+OuQQYs!>e5<1Y%zFJ9fw( zSIrENn-MNWNE7A5DE}IA^-#D`J6&9>%*o%0EmI~A4IZ`(AKe1&ew+-G2=ok}DN3VqUFq0(v}82v zE{)}V+zi~xPRC?cpU63#SUY3pj;f}dzM|H5o!3)sG06>AgH!3L)CjFptGQHz?^m9z z&3zQPVMvXkTZ9(Xl57LKX1Z1j#KLSKNtLZt+vUFHRVf{#5l+J3u z@}$rUh-Zg8navRCrcUpki0KoEk^QfF@EdTMbDEPK43`0h>R=-M7YVBVcOpGC{eLGx zAAxP))P!~c6nii>Ft}d=NQkfigC2lvT_6Yrb`U^4+OHL>Lm2KwoY)Uuks_dh9EqF| zK>c227l;%2086rqicBYX`JNxG>qMnoL^|5!w*~AjFpRgr?2+BpCetlH)S^OL#&gM)-P;*~rRPibsrC8;B3q<0Q~NP+|S@9q+-a8eks*m z?gjfe&VH+EGQv_zdwG;1YmSF)GKo~2ag!s6D*GuM%N&ZasO!gH1oX%>$>kP%W7*l!Y^{(`u_W};Cl)L^87w= z!O1)v&^>A>2ni|L;Oz=(>Su^V9s@O) zi1jwn(*Ri>zP=fM1r7u1v;-MfHhNSF5J;Mqd{u?Jw*fDLOw?bF3QVXY8Aub0P}l$K z_@oGO|Ng|NpMZND+<$_j|9vz3SAwxYPo;^A_kd8OpfRX@lWl+?%7|F`jF}m$l-FRz zTG4!maUHqwG;(eF#}EzK%k)iov$sS0Ew8=iopsOXNweO3f8*7SiY%l~80k{fIlLL6 zDfHs&ysO4*tF%v#k^1_JB*i+fbE==0-;}M~X5VrHkAYBh_dM#KmtgM=Vp{hT{NN&) z2UBv10_+2(zF^ittW57g7Mg^GH6W>Ps>=_ln+r(|&T^EcFC3gt%GEz*a%Ia&zks;$vYBy4+0l3xv6J_a z@D}0_Cu#19Xg+~7+5Z8l!^t_$S@nlTXQVFw*CJ9^|NA0J2cymZMWlNKfkwbmo3KVC zcp(AL{9s_njP7~)=*e0OV9K2m=qd|0Oa2ad7l`}lR)$zY>2AK>KYC3 zj({}$udz^a{%tIHY5y70{V6zt$KnSF#rF??-)y*T9Iq9B-}MVZbGqsVKJm++LZdvt zkH|RL$2mE{fS*lslv|DMiv}CF*1rf59_XKhh>qBQ5hBrwPZ1)ay0!frnfCYcJ5gG8JbDtnU3}kV z$#$hE$n&11GIH1(LciimE#plz_+T<@0K+)b-Zpt|L7<=*W%dTzFEm6c+{KKo zq|}$2bP5Lrx5X;wu^2+lvDL$b0se66Lfv{^A2Fv0S!oic=Zarp3WmVlerF{Yv|=&| zN{b41x@lfv1_8Mvlb=9aV5i@|9TeHYhOgg6Tb$gJ)jt_kR8maF3iwrfQI^mJl?^Y`u_3r@%lHsKh~ox1+4SJzoFP^*>H)#DxT zfH#%Y&hm-fO|@&}{G$F=WXcaeKF&&}{JDoc9%>)n@>Xg-JA6k|P#qa8pM}(#d)VuK zIEIr9_RZw$6~2#z%^nRi8e%zs0wzObmFnD-)c3N7+P54n#pmjo(EX_{#Mm!%zNMm>~``eV)z7d z;;%>{OSEWW`$y53%P?a%V||qnih@;ID=A$GdCsIw6c6}VXbzfi!Lfp+NLpG zOeHzv;&vIS$bNrqW)OK~Q2$l%ZOFV^eq7=6BsXfIx6>@R&u=>pfTdPyT58s6TXyoF zn&U^5S+5E-Gt{-;>J03u;qYpd7uJfH#njs7p0x&i2s;R9>>2^Uu^}#dnKXY$MeS&u zOC1)v;Cihv#d(8 zh`qhjB*0k;qcu~Ds!TeQj2Lf)p@YTy`%GFTAZyB57Q`bF`os-R{7*qmp5GT|Ik~|G zz(0!0PYc3dFiZY#RVDQ&AM+n7WI%VPqelbXJ!~Kl35jeMHTZU zIPn9h4+@h_lCpJOqozR`ntTe-K+qQWG^TQw`$c>K(gk0IxAzAKuXPeO93Cks4KjqK zvo;m$7e5j!@89z8D+lc2`nSx&!SVYDJ9+Gvti6|d7;g{87%(Z)@Ql~&qC9SkJG+) z_nV6!;%3f2*6XXLi=>?l?OpJUGb)tvF zPBxg9PZ!@R39Y`xt_PMtxgJBL31+lE5v(UM>F)y%u*LSL{Rd{br5}x6p5(nRgoT&T zVW(KZTKu*@)C6)kJRZJC1-Z`RU>rsS?zR-QN{o|RZk4y(KHrzEsE$t`-flXx<=;fd z#_p6k#+B(=RTN0p4$MEVd$AUYJSDG{X+48I1T7@oH2=-W#Y4_hf5Js_BgT3fO4uL0 zJDU7-*sOxohVuCjPMu)^C=`)lTK_HH)i-1ess(r3^leC^7qoL z7>1HZQWA`kR83>iFtt^RFC$v~g7x|^pBsiT-*(?8D29W!?}R>le}?JuhOnpRT>*2g z<)Y68+_rRdxah}7JujyZ9&Xchj8{ORoKVUq;`tOR1$!`myR6ktR&)J?LtxvF6Pnx~ z(h&4X8wHuvU!5Jr?BLc8l_dG439a`9MO?}9OZ2VUZSnF;lH{{0ZDj8TCM3Z|A2>mg zd=xg2dAy%NPwRDDz>O$!xY4}|L>}IAEdOFi4F(7We1k#~fBGo!Q5TZ23-AF?3aRU{ z1wy7jD3Bm#^_TBQYuK^kiBUcQS2_Mc@wOdh2MelL-6!Ty?1EyAW^n7TbCYdk##xXH z=qJTzVAede|Pkgy}!^+j)t#7JNw!}(bisE?cx?{cO8NBp(MD&r#r z!huP~6Y+ZjG;{uWwcc;A{uZ@Z&T;&ERN=A-%PHvP;2F{EJCBL+n5KYwf2a;ogXf@3r%JB8g z(P(Sy(3Zx!i^rarf~O!n=kK%VFGktH_yW9ySqtDAX{2Y|AQMHzm^uSop#M<0$%+bd z^9)jmn5BPE+E}8ydM`y0&bQthnDyqQS@tJ>nN}ktbSY6R8A)!GfBmCzJ&91cyy~!^ zZldAsYQJXTcG<<*+MZ@D0Le z*K3$|9DCTiG2&x5iF64jooFThp5;o(s4-^bvMwBEDcMyH*Eg}IJ(VWc6GqMjP1cn^ zoDBx&Cnim8c+OsS4^Uj4mEN1Q9SGrg{1BwL{q~^6B2b^KUz_fH_C(yC!0jAtzmIKg z2Y*@velqZgEJy)0nr1Ay88PTJ?8`s}a*Kb#GP;*=8TlJ@UcpH?ZG3zA=qVe7*I_r9 z3p-s{swuPSZ&Mq5W-SFNMtZw~uFSkzRYR@1yfiptRZX3q<*;~ZdiI`i)vuH-P z<2JwhRi7eJjb;dsGsQ(bo{2ne8<}i{=2L~G*p;Q(RZ)b%@4tpM znnR6mG8kA2$aFwj&s{@4MH-Aj-Nj4Ae*^)Zy?zAz+0oH!Y%TgkRGvWc?0mn!(_)52 z5dsa+pqFWd>5vj|;W81E9`3OkFb2tRMN4%gO04i-PO=Qx4S`o6GHp{DTR0%rjJWpR`45|j)8E=izc6V`oJ`lXYJ}R!qw2Ks<8{h3 z33s3B7^a+K?Y_k}l44f=0XAOy3izgO$2f&Xk?LU0bBLyV5yYpW@dO-a=lcD#%g?@G zo}cg$%E%b_m$plZNJcvN-y09K|Fd55m$bW!hnEWCWjiMIZY5iK^l!@sf#qB*P=G-< z=^!i~I9Po>B|NC(s@2TUwe;$}*6=D8^V;v;L z^IsN*=|iPSvs4P)H+(bz!Akg6z`i9#?d1iR7`tWR*4Fzh2#H5vq95K2X=^Vj-g;O7 z)ek@az&+4UnVX2Ma{Mj2Ys8Z=S%@`Oo{{Pd+@A z5bv6lt=CUPR0KVj&$snHU_}_I(huNJ96RF&zG2G`5ctb8M<*_6@YGPA0GjOlzkkB6 z{j<+G87sij5y(mV1~Vp}1AOw4Fuf`ru%)f8LwBJ~p z!pA@TonTHn=z%o!mQ>_6NN6qSSt#h|M&zC0JpQ>Ahsl<}n=t@H6#m%L>IW+UPSv2c zRzH9e$iM*PAM*(AD>Hx_B~$i?T>aPH1cBm|{w&&*OW{~gMc^q&$Mp{)@IO+~U(HSb zmsA86b-=sue`KIPhW#Hh5F4QB1O#dWfe7Pee<^Z)VWv;?&9bvUh1dRpQ86Z#9eiN} znqyyTEdHF?AsR~UW*=@qynja3tRna_htdS;J@k2eX~ zgCB^FlX}wg{X6(`xEJW6C6gS+mNLtd@YTFfjMc0YWYds^4@VG-ZN8Z(GHeBHF3ZrE z^N|Adv>+qYfu)(MLAWL|%bLe4$!g8Hr{r=BMa&4TmcC?mN_VWG_Vy>%Fy`Ne4lk%g zccx`F&?BFdBJ8ZVVcU4>;LncX!pX|dJ~83!PocDbki@cv!LEg$ttv91VmPGlJs_I0 zOI@(6pauSHmu;ARu0vWF_l9DIFmmg)!>B5}x476_;mA9Vb${6TM0RQNFv>;QXKGj# zC5G1|wx~%aRGLK4RAyh4DKgH$mheOw9L#rAYI^c0JV}Mo{pGDix{3zCp`1WFgC1zGol$R8XD(YaIW;CC|w|UCs8>#sEh2Tw#c zzn%9o|DWf*fE(Bj2$&l`@I}qLGlZyY_lAPr{x`smHQ+ueUO(!wumPKJtDk?{qrafa z7{nb6T$^8RHbls^G)I7$KN#ENv!c?7Xa*jb`n9T{I*#4}qlNKCf{1>gI ziT=!fRzIYIpPKilfEfSpOWs1mzl>s}UtXq~Ewv6Jx_f09XrMu!fTbz7DeSOh9Rvmh zEx1Fl2eGrC#~_h{Zut`nNs%UFtQczHRA%4kG z?`_Les<%_mkv*yM`rZXM>?z|SwBDk6wNZFL0%;u`pJ)i9$xO!zG|s|ct}sCo;Myvg zCAp@zAPm!X9Tg4ygqZCM986ugihLZiX+YG*PjC&E7UCd(ap}UR zV)7JV;yj7Z~}vb1b{%0aD~~g zs(|Yv^Ms#`9o${@@27a~-&g+sM)CZ&E&sFs1Mii{f7u=W_x_K6>-1;^B>d-A4-g^V zep(z*_6Bqy^7aOG6zbPVG1-lQPtE945RLEmNBUy05+P6pOpsFIVxS~gzuJP{{iG#F z+lJ%_XJr*mR@5Du_a*$!;(278L57M&N<)g(4KfI|Sp-QeNB6Y&NOd_8Z+y6eGEzn| zrE|O51~t{BH-(B~T|GI$obxBox8CQiKysR-Nm6e;sAffg|6M;5A#)}XM#xD|L_4io7f41ZJgExz@f^Rl_}U#> zB*izH6v|}JrkOZ)gQe)NRMK0L5@idD7*_qR7N+>~ zQV9_x*keC>I;i(0K|hKNj91 zpiVXH5#7B5|1nQ9)drN$yafg5@vrK}_PX%yyy4`tUzo;f@P0u+&6Q8uL8(;m#Ny(3 z0%UT4Zp=%Mbd3JO%a=8m#W^u z?wCjs)m5@P8v^$o_xC~z#8L%xc}je_dJ?xW)8vo2Bo3d7$`>qayJVwJqt4+rGM$o6 z0xw&_ko)_3lEjiYZ&75K*|Sx(Kdi0BEyIXznlBTw0$H(nVZ$>6hzMdaxrogN@N{Bb zKQRoVkg-K{w4_EduDw($5$heYV3LDCt`v0Mf4d9G7lf>b#?`XF0Jg&dmC@I){;jzs~Qi3+;}M z(>v$GuWuU=eY|}9l4_a-r*y`p?5#@e3g_thnf-ks1AqAQeW8@o8&=(C6Q4H@VOzPu z#XIbk7{rCuzs<>>z;A;%LcM;rU6b(m8y z1nqi|4La-yMRo7s2~lC1p{UMyhGIoauQsjLDY8b6vG-Hc{{;Hv_y;X8E~D&V#|HS` zya=_I>5xkXoVWm5LZ)0DOKmDOGEvEZB7Y2cw3->|GgZgnq*tHW{2GHHBPf*nqtAL0 z*A9DG3zPLwQpR&4u1;r87_UgWH1GSG&yEN80v1ZovlpoQ_d^*y{O;V1zBWHkiCvI7 zd}ev%F$0&zj9$vo%dc8ni#Y`^iMdBita2gA6KGbTFm#Tp`Hd!_d--?}WfGd$h{hC( zC(!@nm|5b*RP0&8sWv>F2i7X9rP&KSL`3KZ(uyv93^;gWvHQs)T*c>8_)!mmbvbDj z9)%$Pz}VV44t*r=j-{RqD~qRM_Y_L~2WR@^KPwU=G@__8GhHg}aoLyJENf`{pQ8JF z6=G=NHr3-UDE-c!ZL;l$sM2cKn}l^Z+2xB42u3NW$PV&yq1i;zv<9Y=1bg~1D%^c( zD%ub7YRWgxeD*Rl)#zSS>Uy4^H4D^n#5(gys~wLxBD8*@Q%fa#c#ANbF%g@^bV2+Q_>R@Vg{58S%(bCwWsoV%O_2oP&SR$4~zuvt?eN=T$nEiSP`6 zmAx9xtHGONpL+@cZ3TWxfi=_aoybW1o>t809=Of%hW6mmH>wO>jA&M5EQ}EDSWegt zyemoWoyiG9TkqzN6Lf>fd}p(l9Qfor`ZI zj)>``J$-Mrk8Y`v#1T{`QTRP@aR(NQ@#Pbq0d~%RFW2m3?7Y0(2&@XGcIM6&9Avz_ z{A_>z2TpH)ek9}L`?FO2??(TaT4;^QJ4_xWIX5^tCbEUB@r8w2CPb!6#DVbzVhY1i zYPE40UO2e%adL8G268o4&!(2WCJ>1K$m=q5;mADO!))_raL^5Zr{;ps)W(p7>K;`sR3>E!s>kdtFq9Bp{HC#@@hQ+fq|-g5%iSH|Ehw1hC(yoZ1n|hE?ZnA#gH{O^TFi$`#mk?#6CY_*O=C;UosthAQgom!om(xiAB%bpC6*b$I`TV2x+;f4_Zdk3KmEa=)CzTb(mv#Sf&kO#R%)<03nWkI3v857}naB`_1cW<#9om zmTnMn_v)$-1+upGj=p2MBY6&h;BW>g=>=WZa~gt-t6?btfr5G7?P6kp3PQj>vg7h& zn#fWQ_C4bIgJtss+VU2H6ZFhN9{^Tlztv56#`jP}nGFDO1%SPNfWN;B9vVQb2=PY) z5LO65MLsB>3vkXHmY=-_t)SWaE@Pu%0pJkNARr%!WeDMJUiXrkU>6Z1k=<%Fx#3>8 z4Q024`EOi>R)D{k$8_awFaQh)C)y2D_5vI3Rv-Mbuk@2ZE$krt4bZb4P^rvV$B!G_ z;nS235G-tiNT!dk*L+MF?5Z6ymx0>=;Gw(({knW%3NR-osQVc8iOk<^j|^Dr_P8V| zHjhodXzDpFu-{&>#ZN2{c0SlK`H3!n zd$@6vgQkNsyK@@5h6(|Q@DXhX`F!8}mPpnbcV$Ou+qT#OgWoy?9YTIc=P%#^0T93= zx-(byxN(P=cjHP;L0+Xj9iZz3&AEQJ>Ldo)3$T)s`p?0jKm`z^p=r&1gLZ_OBY*V2 z0Rcf%kA80ggx{ck2gO5!pdT|BTF(gY`w~KC!0!=ZLcaO7*wmZblHex+cMow-f2iC} zx(X%nSV5@^k|n#Jdo0QGGex_{yy5I>q4V2Bd%(P=jOfjJ?uLq+q7UM9i*7M`D48Hb zy(UIKu_ip~UOqZ2zhcDOM}{#R8EO?-U5VvhDP1ZtA@Ovui+!GLGSB7N-M_;NYkzhf z5SP$>OT+05?Msu$Gox5nSJvvtAf)Vd@b$Y!82Z$`#>b6uQ2%bk;k6m!lrFX`C;-t5CKekc?zVty4*tLlG`B@iNb!R$3mqieFivU8D#%lbH_yYA-oA+63as6<@N^#*}5 zEw6bhxmYJ1xEm8-dB9|U0x5;)j+5ZL!obmOYlNbjjUlD8VRa0CymSHeMZmF8!Vg5@ z5e>nn&cp6R&6XIFZ^lOc-~t%db@ch;Wa zrZ<0Swy|pVV@0n&fuq6$AMJYtYbUM@3iYzIPu$U?G7dH9^aNuF>Bth9>HT)i1~<*f z+Kg2L>o&;6yc6AO3?>H%kB@jm2zPXbQ(A6~K2aXw)2dP!OS&hEgMAf|NA-@Kdki_! z_&0IO+jTCeTXl6MO~ld?*ZLSnnJh$QvY|I}&u6SC(S*JejhwG%f_Akl`aKKF^~px0 z7V`2);wP4+UR)HLv~}O*uixO;!upE5a-^P!o!MSAHjlDQf7n`MtL*M>C|VE;`RITh zAEE_oCd=_|hqP?uI1hG^qYj=2+gZAE$!Baq7EQV9;}NdWj@RpwOBK0TI|;S<#eiBL z0xkF%=U{4tDG$YOll15eK7M`nnoo2&sH|X{Vrvu{Vfk3SLoE9fA~K2g=@!- zCAS1S)CJo+EIsrfTd|9?qMzElMvs}m<&wybkJ)+c%*(HZ0?oE2E6zL+puAyvl^ya? zGifrVkWYOTm0dg?i6Ja`uy->rN-roy2z@rWs7!XrZZxCRZH^54&Vq^1yCZ!&skhlx z@Knx=(`uZ-;0 zOMC8o``>ETQoe-)X_GQmO7_`qU~Z|tYw`K(O=>Br2RIsj_3#0;JK^cP_p>NxwH7wF z{7zIRsbirLizzxYT>ixbRFAXj&?t0=#dLGLFIG)YabrB|wt8wb>+}_4QCp~NCC&S? zKr`EoT@=H5tDK2o(aTJ0xXvIon-pgQWwqH`-0P-psCTq2*kAUlyF4(K)xxmSCBs7* zlSM-4WtK@|{GNsdwiG+a)0^1o<8G+nmhaXcETy&AVAl9pQsaY(_5FqKbq|4+d|#WU zd5We}lUytH0}8$d;rja-bdm`S?UtB!LBYASp)X$EpUiiX3E!pw3>RbvQ&npnSFX8h z%t;g9viF!Dx$R&^wv@~+mK*S5%Dj8%4wXor4%neVqhrZ@#fXX~5ySRYY)ru3@U}Nc zlcV{*OTp)CId6Y|=IsyGN4botW1rUs*-Sn1dL-(IRu2Qgmi*7vDz1%pWLHeL<9Nkp z9+UV#PH;sLAxMzdUkHo+2-Cq^@~&=A=_0hnF*EFnXpBClQOESm_S~3W$anHlSZ$O7J?&06XfAB_yje9un0os_J{yPIiIMLdhcf zhL_~}v&Ncqhdk$uRSLfGGscmwK;b0L14o+5-msHnE|L_YIsQIXrkGBM{7~u!8Acl9T`wjDqyAL|yp=96r63TrG! zP`FexGR}!5N!8Ej$-dvOtykTZk)6*3$tk!U?FGf>H591so5=XESFL~+*vIg?>`3*} z^Ic@f{eJahmD=Wg!7**VwE3x=s^^ub3yC7sHws~^Gw6}E+_e~6FYpHs^A3J=X zWu!PK6Y+#}53!th9X( zJyT~nB>EL()0)>;WfAKA!s-58TEgst^R#{ABIj3^dl5yG!@*dq(Mogqitb47Pgn)7 zb}Ge|I9Mzi52X@i(bFR)&k-ZtduB4t5=6-Tw2hgYsf(+=>wE+E30W?Qq@>Y)g#D3y z-~m%jNLbNAx~H&04zo6LA^VYsPp=>3Zi6x?N_&JMy=3m&Kwzvz({y=SzqSAIbcS$Z zk2jVty^0&hP_m#$_qjd!N2zW0VQu!t*y4j;5;bEVATbR~}Z~UZ~p= z=s{B-gF-b(?239;Zlo+Kk1)RjMmG{b&nR~?*RMN20yQ7V>SITC)RoSmm9H&jzZ-Io z+cdzC@?)3>=kZdJaKJeu8tC+R4P234QFL@-nV}(a`4X&%AsMOSCnU2nH9luG&uLCd zq#sf;cCG34^7bgEL5uMf^C=>mIIFAh)UbIeZjCS_+-7GXXz@kQrlV5g05a3qIzkHN+=2Ib7pSdsHwG%`sLW#vZFL14++6>GR>R#-}rP@J=)sjWWt(}p&4 z_^k9K^#SJjGZqajgRwz2*Qk4k`-LuElcQD{;R4EMpI0E4MB&v7)L&BIwwsAem)*31 zZ|k!%xKwfT#a@%Bx2tL4FJqF3QA|AHdlN^{GB{!t*k{Hvhr%LS3n2~fbB<>5G2`Aj z_ey$5&~?A5aUVq$z=Hy`U7h=Yd7WB4rpM-CU5$=PeOv4PX3EsHG|4e=^FgX*Dj??6`pT@Kd2lCaO z?WmW;;PhnL>Np@eg&#Q6OIC$S&>^oC_MUSOb|HUm;F;nKyuEZFVm5F>znr{jI`#@9 zrI|r^XmP7~X4F)n+=Yxj5>QcnJyZIY=vit%O0sc!T5X?tYAik9VF zdE3UbGqHT}F!^vM>E@{J{H`Cq?~BlBdkLp)?zoUB&;h67+|BKZ zQnBO8Xdr_&D7s|fJioY2rCbvqHO}p=@2$@%PW#YTub`eU)_1AuIHndoB>?#k)M$>QF(0bZxUUd=qfTx5D0jlW-v603~M5wUYeIbTZ)BYe9tD>c+JPHy)d;P z()j9RwK61vjs2C`Dw3eW7L15_K{X#f%8>xGP_?vP?G#$!PG<0P1M9Ieh{;-Y>O7OO z?%B`BVJQc_JYMfN%fqQ$j zw8_G9)K>>+-wg}#3k+f2HXJr;!4*=>EYi`eF}NWRsCekqBVbgdr2eq1Z>c2vHs@{F zV7?eYAupwlL%xlc4s9P!m8(J5i%eTxOSN;xa1bk*7BtD*066VpSGsvazg>9iTFLym z^i!XH1|%JuM2%(qkeifpW438ks7go#N8~2P0_bv_M^~B7B66Hhl!1&R+ehe?&uD?f zMNnZJ*HPCf&vRyjxURO5+|9Nryt>fw!hL`7ggMtWe3yMJ?xw0^V6mO_yh4ZnXtne6 zeP(l;(r4y`IFgtN=+t?nj8m|XFLZs}4TQWE3J9VwB6icU)CetGu7W~1YI=1&$J~Ql z-=0(qb6x~K3cg1=EF2*&7V@Fe=}$IDt8J&N2}o3h5o7P^P~3lJn3<>a-V>4`F=m)u z{8j@(aY0kgC!ghU#WSmB2nXKLe}4xbLG#??8$&%7tGtkfqHb98quWrh21r zeh!V5vlb8Iw=2@|Iaj#FKit!1c?LYHEDwM(c-_+j6DJ+DzVPMKRHT+#YL$?L8_Sr~ zyk2a-e0V8fcc~M-w0N$@;pD4tJu(8U?R+lhu-B_3pJ;UHlF!?_l3ha0OJCpxE!;os zVWtIrHF(C#lQp__PgVIa$gvK2JC=f$W0y+kYl@~H&GFisu61@RcPce6;Jx9TfY?k; zGKMo}(6=7OH#$AG-uM&SD4+9|-wR75($6uLlk!1#tyO5mj!&_W{KBM&$j@?{U*;X=mvHs<9{cc%3wslPs9P-%IBhiabWY4)4XK?VFrMecMkQRv zp1hZGd)^<^{>~Af*j@sul5Xl{t-adklER@W% z4Bb=0E>2gK#nS^2?@8(VSH*0@yLzo4WZsXR05XF|et-}~^f{fhJE zG@^T5TPkMIvrZOWZbr&qMJF7+1${17nU8Q(FP^*m1 z80AP8{af0L0GCNS^??GdLYC0OIHpgS0b)8>{;PX0>M)MAh2**Jw=Bvlan1dSrfd7? z*qbCqC?pYwt_U0CWxwb>PZjI4jr7{b=jy*n_K?;~7+u_~Vk zAG)uH&#L=f^VHW3@lwE#wlfU|uA(>7a7o*Bcjahj-Bdp-c}2uIPGdE%9hU_;>`KpW>@+59|1F?t=qZhzb-8ul=6vnVh~ad38GJCpyPL##eqQ;x zd~5L$Te*lm7`TdVOgdaa zJ_-9qc*ukek2G85bO3-&#R+8B>yp3|L!#ipAv-0#4bFJ5db=>X*D*{byYy({tM)Fe zKAKz@PvESUwjPnLwyiAECG%B3#j1TbR@de;RMj}>vMxax6XcP?01cgt5hkW$@PnkA zw4Wf08B2#V+7PLW%`jPLry+y>rj(n#y+R>IQ%|88LuV7aTHZ4 zt}x%3&15n29mO;@m$dKLfZdN3vqt&_;`mur-)9-FRt#hG;t0U|u;rEYI@T!IjMHph zQ%6lT1RM8rjcI|8apqLW{`xgG1BzY*knW~*wvJTcYE2zI-&06BTU|QDJiqU#>+k0x z3~ZSYFi8b^!+$kT8Eg-g6A+*-_!1Th6PT^o%%Pd<($0+5o;^@kdry#>W-;79%R}~B zE(BNq-49DA6bfXx*&ChndY7g8Ao{Yz&AWpdn3@cRoIq>Xo^wIo=58Go ziacsP)TrC60i@_|zw0;3l0CN9Ht`~b<1D?yWXOmg{goqzsp);}HG5V+rIdg4Dj3sY zA$?z;0m%FGO|r8gn~0X#o3Ss@Wc=NvitHRs3A(p}=kl3CU=aeE5A|+G%42=$S>|E$SCBn`MAYTow86$ob%zTbLf!4 zl!8o&j(lyMph~q3{HjRQC7Um=Zsh30EEE%c4A2Pj1GHV-lWKzZFvXZfho(sYxh z*u$|qLF!%lv<~Fmf-8Y^Wm=#oX7x&^u+K)*p57L`UlRxBR zE1JxZqvlzfTSUie`KujG!VDVpnJEN$ru|5^JEG4x?ySBD)11Lah|&cHmJ-@BQRLZ( zE8y&6E^qrLiM5SsF_w8eV$&cK3O;=K%mPC}y6{yCLGkYNvb%D@DhZ#1ZyNjYW=HZ2 zXBRRNEB1ce(b#i`qUF;&hHrzI4{f6!ZHgOC1<%H<5AD0S&w$~;@l{1|p7R2`!H97{k0XL}3co&ElcJ>II4xx}Qc*X~h}1r9i5ll+LS zrx7;YWlC?c7Xca^UlO_uw1Q7&J8Z)$tTXVo-c zrlmLA&Wm{g-EF?bJeA&rY;RA1kqL)j18Kx|c{s)rSGFVlsVI@k?aw(^E=O=uw zo`3&MSV-`=!2K|k3BQBiNYY7nULpP906%}s%)TCe(o#j(2_agrBbUxvq0goQ+da=- zwy=HZO3Eq8!~LXf{hTdL^a~-slDXhRn)$s1)BI5nWeqN6AS90oBJHv?oxePQ^|G>Ha)VF>yW63R@^<#kuFe5rgxSwe z7pBRd(-dz=D?mn0Zfi{?cq=qf;vQ-rS?Msu77BAhE*VxwU&~4ktJ!{7j zW`AkbQYzxAjOF~1)-4Qu!go>*nbRMURp)c+7GY?MPu<$*g7SKct2d~$B*F16+)#?$ zu}p#<4^8~7&Ii{_^sj!%RR?FCEmw<@4lAiz&UeMT<_ z+~>DD1&=OYa>NTul?)a*KF++)3V(g|BV0ZzjKy)zjFM6FvzG3~1xA=9p>W}C?^!oN z+MeAfJF$xpbie-k`c7C*xSg^aPVaTchMC| zwxqCLVZTuKF`Yt@awQnClS59FZKC@al36}HP_4RC!i5z3I8 zWu37->%znQb-yXCESJi8)(Zsdbv5-Z;Rp|kHBdq!Dq>3Sd%ic(o~6wXn)ab{mRZ_d zg`~FnI=hS+(OZ$U*|iih^s^W#cr{pK5`qSoL6*TZwK<UkRA)>y;MDvOt)zdU_G?<>bj=m3mH|U|$&)y@CNwt1s6+i5F^SL5o zKc(zlF#ef_(BVgW(PGLI4u^G*GCNYd@fkbm9_x}H84N*%6FjCD&`B^(83Gz{F3Acqf4xP#wU9#V90X zemk~@ry>_GhEku3?CrZRk~BN14~@h&E-(`u=_ihNe& z;b4y;#>gJ^l$uE&ypc8oVnn)c~|>TecxjuCjl^r zS`^2(=Ae#o;ov1OHBXvLC9DGbz$9(@@hzwFCz{FDig zrT>O5`WL0~|AO-WP#F$pj{hWLmM=6@lu{{vR$<(Goa#_})d z11z22opZahtsNcG{_!Q2`G3xKudlHP{>|Ef;84|qfnXB;`M`LbC!1c5JwG*`HSOhI zahBGTO~adA?7U5(Y+1!^L6{=beR#v*CMPH$5*6iCAe_M2*_)Ty**X}Hk6a4rw1@nz zu%5i(4KRy+dZ%%amgbO<&n8L0eYqg2xR=0E_O`$Rc0lp+kfZd2V^F*MhbW)&`9Tec z0^o^YF2F(+bkms|#E|ZD0(689)Mpg1*Z=^T3I&h~^X+CI||@ z`YH)r<*5S&n}KX07*IeSUh{rO6R9zz7a>A~Wo2P=k4}ed^{pvIN1*P4hiC#f63`)< ztA}&${=+L+<8cr3mRA{1fw|Na(t2>$;n5h_|0+(Sz&PW!V0 zpaoGh!_O#J2IFU)hL8b>9stDO0z?nA59Z$*RK?*-pMS6i`8EOdY3qC5H!?BThh%WK z2tEj51?=(Ock2k;CIrNA(t?Oz!;kwD#o#aC&xryHnl4CF@Qm@J=Eo#V^F1toas%rE zf$@iL3;}ZY^Xu&t;dhE3DyypUB|TTqqsrM_XoUPqG~m z=%7c6{rK<*jNb?NhyUWMCi%yY=|}hINA>I{En!nzd!y$w+7IIM=T*>EK|9WmD7W|n z?U@C<9A19F;Kxt+iO_GRnraZ|efj#w6V)&u@F%{p#XFG&J3cHY>BOFUQ560ho^i#$ zzgNv~;@H09Uq5w2$ht5Kj!u4$J)^v4cJ|N63yY~i7GNWMB8lzCH9#j<4E}jV@OwBO zQ1GsgSO07P@vyTnGBg1J#K|4R!;lOA19b<|=`U|=1^?$qdJ72N)eB-(8G5(O9N#}A zh61_%wlxfWj4cGle|;at(Tg@gH38_6y)hmM+mh}HU$Lx&PdPW>666AIBJ zX3vWMp)MD3F~{vq&+GvbLHtk<30Jas;n~Dok<&noY&CqS=Uc%(hBnu0pUaNo9$OKt zbT-}g%PZlS`evXMQCn;q1qZ!X~+2D493)1iXaZuS-==BqC@u?o0yR^wDr#!((FLq&^mcwC>4fm7vqL-5aIK7NoDZCT-KoKF=|k6W`-(FD zz?hh$h)!#LVao1ezGK*DLd0}%x?mJA-mnn+;_d`Y&$ccIDe%;NSxe5uas1263ru!t z{Mq1Deq1Wp-KkZnX)|&o3TQvVFieia4t8bU|8#?R=7Tuc4Tu$XL`?qB5st{PD+5ou zJK>X12CR;Bc?93+%JTeMipMoE``|@ubLzo%G8n(JUGqL-!|nFhU9(WWy&FI!$!(F; zq0)O5QVqkn4g`vo9}JgdSkz6*POtGugmG#)VG5W3f(8{%z!;t8Bh$sX&sI{*GnX_{ z)^yQU>dE5y)IjP{H&Um@;lP!{0k-K)CNK0n9n28G$=%?G?CiRGD>W_38$ij?7XQ7N zeNj0@t5sEGr6za@h@P3bv7laq5)P$Y%^8Vt5x7ua5={NOO2I48aNSJv*D?Mj%dR5* zH#2_;ANxSQaxD@lz~%nM6O_X@&RQBa(3$%8RcgF9xCuYL_XtFDhH%u|zg_fJC*?3= z25lT*yYH>LYx&I#A;c0^q_89avu}Z$l~5FaeEXl2h{BziK#5w8+p*Wri;8ZZH1W>0 zPII^AHdDvOf_SU}8CQlf{!9qW^nJc{dq{hmZ0d<=kA`=W<*UrQQd%UOI;pEB3TD*O zv06G5C^S%oloAnpX`1)MU4@X)jYH#>&dog-=I?gaYTXRNoeN$O5&MMBnXv}F=&4=- zd_1){_1%BW^Y)8Nlta2xsB)vFI=Io`h~s$4!w_wTl1L@!6w6zl2D|q`Xlf0vg^)3R zp%!z8jzR3M*;WZNjZg&V{_H_D(Bic~RJ&o+&H6~cuECkDsyXfAu>{@KnXDBvaKk1@ zu&rapR)EUbx444+j7u3yphg}TtT_0&4XG|~XM)x%c4O<)+0agwoLM;>s=)kmCac7qdn|q8(fp`s zPT_aE6Ll$WTK9`)ww_{bU^k5`v(D)4<3kiRrv;uBPc&g``mzm?GL(d`FN1~39 z%b@Ur&qnmycce;ygi_S#h{buOloKv64CBiSf)=$pH}nw`u&|(Z8qY~wApiw=8WXn~ zkD67jCgTGoIqkeNh8_)$coQ;HLNyM$RWl0ry$m8BwPG(S{4n9`-e`M=Pqt}GjQ@rd1c@uA4UI1HnhjADj|KhSLv zJ(Os9-be?q=pNbIYj&QBxPg)E#s#q@J>O7<9V~#yE4Y(&RiS7&aU)h?xSJVsd~+%L zOg{QTh{ZbFQjGI1D)x_I2Q*HE45-_NcN@T7AVyGVG?8WxXA`u1KFxf!VnhC z?*=-BLdxVEVMIZ96D_1~2dQc1jOx}6eYXT*OyD`!zQCC+OXf6?EzqLvDFB^f zrvJlNCpJTK+(6Ts*QCbAV35;+M*=`6Du3h~x+1K=Y%!9O&$0kmr7*UECUoni)dWKsbmYqEBJHF> zEx&^CNO{3@j!pwqI)_nE-)=2uWzGtTa>g`fd=-)UM!WlKa2tUN?)Fk@E5@l>Y?yO1 zyMQ{8YD7hFH$3`>YLQCx6Pcl>yLXpf{@K^;_iJk0!r+lCkl4OxVmMh`+-ask@+_D#$qbk64>os+p9u27?5%Yx~#$<{JdvrOU%2Eh?(_x z>{Hh_q_pG^F?lza!b_Y)8msSbaQPgt{X=R6q*n@-LZptIZnS-;fZLs;LWjFMF0q@< zwZmQyjWJ#ZP>K;0<;CqOm^m0snq7f$i%#_vMt7eZUhoB%xF*KHJgDF1E0!U|xqt=`bQGZEh;wW_3bTcxad8%gAD)El4y9H@ zm+4p*Qe%_0w?g0bxP(XbZ+9!sNVLP^Vrs@42UiZpeJdF~=K5Ap)uO^=*jO`c6`X+^ z)`G2}(pF|_wvO=EkcH+PV)aV(L%O|CU5s=aXvIq#*59C_QsAAjM9Q0#ye^CqHZ>Gl zEo@E@nt{0%>n`64LSk-g3Ep1D@Io_k#OkEfxpNR0g14~|aVXJD;Aj34bGl*Hu)IL{ zdVe|se*JMj$ZTD@w)x&v{M=a7agj|OGCz|fN^Y-zWAizb9+_=(!cP9oA45oNQ)!Ks zCM)MAfpO7C#-%*8rK zUnG9U8mR7H24c>meuHaT5}oytl{eVx=q+2t8tP|LP=F~2)N0B;laYF93o%4;ZS`pg zkwO(GnHByT_zXQ*Q+`NHZo83E=SY@y&2(lb87mMTxt!2KxRH~Uo~fa$KD4Wgv>(5g z+XNNO!k0B9MN!RwxXbGVJfWWsaKa3WzL+4BSgj|m$+zj*bFrg99Wf|TgsTcYr?C#N zU>yfrSEGre-3R(yJ~qIw`m&VSNy>S)cm82~i15Sja^~NirxLWtJe(g3h=2Cgrt2if z5a(5F?jf3bCb8NY*Z7XX{3H!m%D>fx!993i3tMU51Y?!E!8-BHwab$xUQpp_e->%_ zZuIR9ib9f~Y173`Do(duJ20hpK{{u{Bt%x*Er&lVM{l{Ztb{<`zv1b%MA6k%5T1or zgI_b~T@{5_icJ7xPMA$DUh>M~j@7M!OAb0S37Z_#3EXXsFdV$H7X`V0bVrI!%E6Bd z)mHI?oGRH|-+5UGX!?p9buXJh-f3|v5%JYbg)ES>ecnnC%=?Rq=zE;zw*2aT9Vn9U z@LsF7sPyjTD`ec8`8xGI7f4?25M3sz1ZcQf@M;%Qk_CgfL_h9*7~r- zW{rSXZ>0m?w4{st6SgdNp2E#5jbUF^CQ;p=oNlE5T*d!)uXcisV(KDOag!FMh zcN3D?2Kwe=p}px0D?;MJEJmD(NHBJ#HH5gf9eXN@n|-SeB;|b;`!xwRt?*G2*iAaVdJQRxu2XEDZ<422y6J_=(5Pwsa#8^};e^_@ z{IN~`E14eC0i;aVd%znP*%xe9JmgJGXw5TmO6mQ2QS0SYE|aDinK0;the$vJBQ82u z&YTcS*heR^8~f%Qy6{$~6oBB6%q*C_ZQ8${T5__SL^ohBfiTS7Ogzo}kX@r*G_9G9 z)a>_jCe6t~zZTTo^9?d_D^H1#b$C!(rVj=8a|!}l%9C@T1vQvNOW_WHV;tJ0BgU*J zk1X}qfic+;tO|TM)i+N#g(8;6!Jnx=a0zpG;KUZha0eP4-OT|PHSyX3n!7C+XQ%GVgmBsT1c{AHe!?o zZyyvyX6%%joVK?Z8=Un0niL_Tbxa9|>YtxHzZ~A0a&R$)F3yN-e6M9BY>HS>0pbBF zUjrY?dC2pz%fg*E^YoKe-3n#~d_iTwP%T9161dBSX=4^QJYBr z(2fy6ESec@QztC}9ueNBi#m84F*seoCdG5VFquag#FAXkYBJj#4fJFB`PFbR;MEKn zU?8+rGM*QtyIe*~%{=#c=5%;f#yymjQPuAP6ORD(kY_8XY8?WYlh4lKo?X zNp5y*&!?Ks)U}M#<__%aqWEGDGaq2DQTH~PWoEbQm{pFbjc#IBbTis>aah1g%p}xy z6ieyZmwJR1`zY-jISW{>y&6Q${#UxeJTwd@`f3PZ@9EPhyQg!}-eD?-{qFNnN-ly2 zgaK0k4v4Mqi;}qQi$t<=vjv-$h)a4E+8HpnF3mccI6{Bv&c{f!0UeaX2C-OBtX|3(DZPFUI= z1V@GIbztipK{}AVQN=}OP|3xToYKTpIUD@l1D}~$2w*=Ip0g4S@*pLuuGF93q8I=& z+$9=!klbs^lfv%cFh9WBIJq*tVxOPc1$oOM;JSg1kQSMYWWdEWe4@QzZeqaod15a( zWZv;uUD`U^MBeJz{|fJ7vmhO-!f8NJNF`_C-LuJuPj_p*rCCOJ=i>uM#S)ymG2s-J zQnow2d}FN%I(%-L9HNu~)NfG5&v?Au%8*6~O6)K=)-n?V*V=08tri>6q2VHh=0|5n zkp3C@T6-1ImX#o=@qhhGIxlz!o>~3MwJ@EXiuv`pRWIxu<@esLL4v>hycBm zBqq8R9)NuV1~Ijo+9E4PNgNy;doa|lB-+Abc47AWXmqCgrZa-%()#J0f57%N3Y&mudOa11)EU#iX{ z*-5X2rI!X)1p)E9+-{L0SULZ0oVf=nZ#Gexc4!^v*6)?at_|1gbk(}9Gr%D36=-FO z8+MSfhQ>ykLk*9opIxc%*1|=|KKb0X1Uuec@;BeOn?RLcV+13nAGP!%PvxrXxZ9K` zpmaeT9qobPETIj>H4&^P{v6VF!)p;#yNlh!aH6(8ftn!KKXv{87W74}^J=B@zyaGLM1p z=Au@>z`}4hi588Bb2TV@8IvgHL}~%H1p*#0dsy2CK_IIAM>Yu=qk)wkt*It(`B_X$ zighxqJuh4Wc=Yp;=Bb^VHW+uOclRY!X7haVx5l_TXBk#1$$SO zKkDK!D5lo5EKGwAKI3uGLND9!F4Ysb7*LB8IBB9gzR3MDZ9F-NjUX_d4C=NL0tD}n zic&JCfMm_slijrS;Ygqx&*czJ049+aDhW-`MX8l%2oJ72FjK&2uD;>J%u`OLnC|>M z#XZvM$on(ya|8}~uJLnEbK3K#3#JWDRb(O!BkCxT(9m?N)%{sNE#wUA>wzN=@m7&) z0J1iSj&h0&~EUs^`9=q z4g&FrS_(MQmh&}}LAW63zmOkP#kiLMrIbo0KG~>lu^9K{2FcOq!K<^C?M)Ku+s0b( zd{X{3@Q%TQ8X8J=Xt16d95s*1I*|ZDcNnabn z4Tq$SSwL5<@#c4gvr>EpO^qT|C`Eh^;OiVutq7orXFoa+uiwSpKt>CU`{b~F0H1U- zI5(LFSublPih1 z#MggoQ+<@F%ZXKksmfDwzO`%<<%s06AHorPrPT!}|MA4H_s@mC@jduNb)s>kX#Xe{ zW;6B;L-qqQU|>a_N$kaV&PKTre~HtLNr}ti#mK^(n0efn2VZa39cikI^k`VM$1-dU z>q7d)9})NgiCt7qjYD)tz_U+TP{U4R06jLC0hEc@47!nb)C!%A@ycjh`PEuA_a+CL*S zL+0)2U{8~2vvu~duQ%wX%HC@l53~dI$FyN27Q3k7`(Xd5qgt^0d{Y;}wv3wlj9U+%i1LKTBvn-t5;C z?!ezs8zh3@B}9w~8D0~{R(Y;;9+{JJ)!i&dP$)>$y42|Q5LPw9ZB)D`YPxV1evk|F zj{x=C-E$}!3$-uSJ6rjfVgmc?dC4yNIuV&x5%tm5p)`~7@l9++@S>B|kc)e0>$ID( z724*+8vz)zQL9)x-8f&WQr|dj?VT;&1fazZ`@W8a$fFdgFN|SftP|W92al}~igB{% z(wH?Y=Ci$KO7@Qf;~*bRwFW5^JG-4Qmix~muMK;*>}dqOrH$$!*ua)fKnAm?LrLO_ zCt7eDrup_f9$>OxQ-WNh9%71g>|Oc|-v~BQv2A#TNT)K%R|%hql9iqECc~O^HtBh& zCTl@`GLS{O-icp$DoO)Sum7*Jpsck)_RtzM*x99wzozBW5k>@lYkSh1{$bS!zGQHp zq#_MRxkNu~Om7k>PEA<&PMQ|g*Qv#gA%B9aoc4wXcUl35gH+;R_O3U@ZTPfrt4b=gs!$WUffOJoJ%qL=!s<8dG%*e|Z<|X%}Nn@k1@_HKg$n z^S^N9ciaoh5M{K!w%xM)Tj?))2iOiOA|)jBTRU=SLODh)Ct1c`bxH%qCm{09Wph(Z zcEEHOxGz?ygjoAg+U9S`gfqI8t_=G~m9b}KqZq_E$Hlag6IC+Mb?)Ym{q)|ly~3P!G-bdXQnbvnVjk9NdlOzzKO9Rbp-M<@VqJcD z!Hy(iuay_nNSywIUHEg(R@4JDfP_Whk1=a%D>FA1w#&n+1n7Fp(<59;w|Ry<*W5a@ z?y2h~1^a((8qi>^)pySCNl?+#lC5Qkb#IM{BnPD@FfZol;)t7qTE=ioR2#g;+s!6| zh>wS?$F|d|3nm|qPBYf+l6fylxIqv3V&;BxscyhA3+aMRxh|B&IlUC+s^39Z6QHv5 zK;%G3YJzPAvu_7~EM=%?*orCDuedW?^FKr$Sjn1LWl`aKd3z+lp zl2Ne{Up-zmeK0DI$G zhNx75H|8o9*@bJGS{I)U-T15n9vS4zP$NQd{hDup(!V=kU4E9@xPG`FEBixpLX1;> z)oY-N;pNzEBO8M{#{$-Q5w~g_h6VGeCq2a~IEz8b##|6eK@1^9cFdm{J#8KqRmAKX zszBPqwfn_6Clb@0Ae`I2J&MlmRyK5O2>koo`7GaR&AQlW{y-`Fh=uOxD3Y@xk7 z?*JH&au_(PQY*s6QK+rzv2-8Mz6)(?nm#+{9$un@Ts8`s2z#srodTPQc0A#8YpUIXRTC22p23&S)W{MwRehGHizqA&^GY?eR`27 zkr(tflAD_WFFT)uUrly7c3rkt4~+}+uIos~jYj^e?Q$CRWql+smv$zbj4M|uTWZpbwUqG&4jFKB3E{feE z!}qkI7B7>*?;-rl%=9h-eNlo=(pZRQhDldx)>G>~|9y~npYj^`+Tc++`aL3)_Y1ru zF;nFB*h#1De0}^kdHZln&dkmO13ileD(`yy)M;z65dcAmw00RLY;Lw(K1n5%akgV3 zatYjNeKhQO&~ufaT&M;z=tZPSG8W9wdjKiyX@Z^ZQV}RS8wRdMukwl`_Yx9KS-VQ;#%{1x9inSCM! zSFW8i-l}xAM%=e6C?72E<(VE;jJAr&H z)bm+$YQsfTdIYQ^mC`gh26t=)^-hVvj61`R zB_Q4EAWPEs)6IM@>)xERlJ1OiB5+^>inJ3d*ZWoy7|hs~ME~tfeC&dU(}q(bWHv$V z%Fl%bBepWb+p<41CD%eXF&P+oX`SEN(POuNiLqIgj$&(3WY))v@XINiF$@nRv#opw z;FHH-QwJ_QOK-qc+C&;g@4LDauf_OvB;jfN^yb_*4moHA_q!*kYXn2%+r~kf0isnp zJYH%yf1#DMsad}mM4qq~T-t*aasSj0iZ6ER^sJxyHttmkZ`Y~N@RrX3uams}LOxmf zlZSG_*kaR^mPXpgPHTt4R3vjQH%o#&v8-nGkOxsEVe1`X4p>|@hnaE}n?q)h7Jfc_lv(tLBH9BrrR3C$3qG0Myj*7r6|>FaGK5@$LnqR z$X3b)0!CXWA6GM8^x|;n#c+=vZ%p>b&#dVUUf$cUsqB|Nm4lwP8!$( z7Gy@?Posf*nT3knfOrHb$pj!nB}Ig@iM!6hE@NAgVm)1Y!zA&=?K0jh}5_d`p9v3e44yP#mhRELPizSZ`4as>HN_X|e-n3Fo zN=(|KpI03{7#Tx9J2xg<7ZWa85oW5c2| zevy#j3aGNxXQ--1&ihBM!GtS)uF|^BaOM27UnL(yZ+^HP3>J=ZrqCk0BN3B>AEG%>^PmA1>ZJmd2xE8_nhQ_{+uE8?q z1~1uBTS8Rm=)dKAgz}55lkKU{tLVE(`Zm*itjqQCpvW5Q&~JL`>Uy51L!F8;UeR|U z;aMwWeKj#ejTLouiyMzUBAWe<30Bm3Q@Av+gA@>G( zQFNbC$?^-cDNW%4HqB%FKQ_l7`hSTs$&7K+m-753KcD*4pvR9<9*w7~*wf;ROq}h0 zppB5-=jUE2eqQ`; zgy-_*Y`EJiZBoEk6lsP}U~{~u_c?3FI=tv#h_x0d0YOk@adUPP+>VdTD4g-#`Wub_ zyo}!IF)cX|VKnPd_tXiUcLJL*J1gFn%4^ZIc#tzhu3N`JPrdgG#p%2Yj;PALRxOM% z=kb`aSlQWLbC79BSMlq2x-{CTZdH_mzSK7M6c%GN9vjiE>(a&wS#vIIdP|H*=*Gf< zP)?-n6sc!^Z;YQu8Sa*YRTtGPjZlUILXQGJJKdd4V0)N<<-_O*4WW{pX>jQ$GM37f zt~!&gGFq}M*HRHBFfL_6MNTbWj_{9RtBc#dwKST$<7VlyFs zu~h`(M?8ilDJc=v{4-sT43Dv`2qu41CLN&O#dD~{GD7;q3d(`Qi)pu($bmN~-W>EL zW{qVA%vd?=*#P)e-Yl#w4OB?Z184utU|p_k!eT?cmBOS+r2zAw9)`4t9hN>MT0HS1 zH(Wd&ZYz0_)CZ;ckqV^U^k9^F;L)>{ZDd23uN}UmJw=jux5M$*s zfY|i0pqHf5GmK-Lqx?ynv*{@yI;X|9j$uyfop^()P243MiGX8ohudPp+pm&Ah?)hJ z!=ZVse|8;Ja4@D*mX%I7AmTFZ`g2>WX4<2%_buansON?eyck8VzO&v9nMHc6gk` zFV2jZ+xBDZH0GQ2AX(KS|o*@qg!-{QptN{~Qx$PR{@9n6R-h zGXLlFUlkK}X7>M`GyOkMOq_qIB;P#KQHBRQPe8)rGCQ+}JBJZ5z=Fau3d7O{N(2=r zCp!cD{hiqZC8+;JvIa^#;2&f^{N#A8w7X4d?Rb0L{EH&HapRwX=&UK4p|+1{3@jr+ zqR?Z&mjKBxEqhZy0Rn-#4-fzW6UYa~IfDGSAOphc)7jdU2p;?ap=j?XplFnb3KTkE zNr3dv>>viBfdq<@@E0W&An*r*B>AQ%m{$eK2fOpv24#5zvXTIsi~%YQcYbya*;p@_ z9r?UK?FBvp^B)=#_3#CN9_AQSJ5YcD&j#mT8pxd@7a)rJ^ZkYnE9m@D3=|%R4{=Q0 zJ$ZS2JPhJ!yCc-KHRbRC%5_M_6+k!!cY5;I1oef3oekvZ`<59N2Li)b?c4f(eM(@X zkPoMZ^>^jyFJK79<{H2?gme0pj{tGXzX)W(J%H%fi{%Hz33iJ^0qkC=tTqEQ# zcw+*I66x$1O3=9nsqGK9i3C2YHn%J6QQ!`Q82m&}FgOPnF&*YEup5g=&9duug6JRF zNe2{&cYEV*r=Z@-JRUOxcl~ND@~v+=+fo@_t0uz5*@sBM9;p9C*{5r$@Yv+_@UvD4 z3UU^4`(?e_i?qzv6I$!)cFZo)tGj84kn$}wOBeX_YGX*@&mbYAq96kVUz`*Ry#F_353HFb#zLh{(X-3J3cozIy?F=MSt4i3f5l8$4aIM2Nycrjz-9W#9@PHSzL4f=FetmyEgUQlcll0Gh@Zauy9H}oXDlW~R zd^6wm7(+u#(EHQVWAsuJz=HVq6&my3N2{XRe`?Wmw`kJ&jCXt|~TXjwF5pvOoy zaD|3SfvvBBvf`^s1iT#TVyEge*D!rLan4ogII0bTM?0zH#ctjQh6K`-x?&XRUSR;hO8y{{x zZ`3b0^S%ot0xnr~nW1uRP(-N;t@@_4s;*Q;&#+Wr_r3;_ldD{Vb017v3jaUUbH$fj+JhC!F7A1e>CXNT$zH z+XuR=z3eOEa_LKPnYUo)4fuPOaFhw%3DP|5$!|KWn8OR^>pGG#3|jjMs{CSsq;Yz> zd8ZDIDG+^nY&>fd4QyKz>JXUy!c@fXWwVdONjB{G+u3SM zQmdX03Zc|nonJK;5t5-W)NumA5gtOvPAsgZS&kyM>fI&hM(OFQgR%-LZVHhzjJ_@jtDk-sPFBL)bkWv{UzzArSC zm)`A%TnwwavxbcbmrebCT~0E`wKJ>fpik?`HHTg$S_*i0DIJ6f z;V`s9)5H2&TuQX<5RENl0SK3>jDhnrlgT1l)iIeIQ=xu`h4EccelHsmjTaZCk@tPq zWqF4wS=BM~=y8?BXbhdlySK?u!0`X;<9^xu1&(6ym~Q1DKNGDGzRpszjh`&&U#f{FUjHbsLr{8>Ke=Viw!kyGi)x z)8$fHj@lUCtYt!6d_U!@u+E0xRQ1gPRh;k ztvNnK#kyRA<-v6$4p+S(53-tYPyipP=U}^sdV&myG(-VYe^reUTmeizCV9(_tH{ebu8yc~I5e3B{hZPZn&ZwqN>yeRl8~0dbT9Kz~ZO)sAfd=iSk!F$q4}`FUR)38HZ5@Ua2xPNBw%1$`TT) z%;QYL84O7g?N<}(O9YYitqg-*WXUN8Ta8SnQ%OF?r)A{Z!&>sxyrl!%ry=9cdYU}i z>5S$>_;xTLp8pvu01i7Wa(t3LIBK)4>?gY|U72RwhfVMdx1CS3#+Reg{-v5uukD+3 zUu21&bu1t;!JJv*p@~8|c=05q{Y8nd3&^x$av)I+p7}PfrNRLmo)c&f&$-53c`i4U z8}QS(-&=;)7Bcdh%c(dTd_O$g7!ofKmErl0p!^a7fi`3s)Zi6G9uTK9?Hw@J|2sa> zB^FErag?B2v=*CU8{x^U)l$M-YT2{oQl|Gu*#*c0=C@GdP9BD-OzUrPG;?ex%>#l+ z#k0Kew3Rc9F8BU+KuWJmIu*!$ink`l|cx;d84TkGnvmpsbve+uf=^0+K%j_ z38_N8i?!|*jWO~svPho2&&oqa85sz87TRFreX9PVEdkHBrsu!C^aZxxg(0$_(n&Yv zIT0&|^=Z<=itKK!|aIwoL~ZWG|oLd$!_Cm!t%M#^UineYriPdaHev+%79vyImxv@by_-wb5)f%{0Ka}W55)CQJfNN%0j;u(xAuf%9kY^5R~Xc4+ImVqQ9L}4trvvVjblKgI?ZT&j7y!o$No&ZM-b+r5P52h$c&xM?8f*P`p{aNbR1U1>?Q>x~4AYmWVhN#*@~uLp!F(}YEz z8Sm_Z?TJ+ZLiV|Jw5l*7B3u^C_XMngz&rY(#>Ted+nSsmZ#U41KEzQ0`vab;_@)bP zd>*Z>I|c4kKX&bNfHHY&-Lgob^u+D#!qa_|LqlVN-X?mI@DuD8^ z1(W9!x9Abt2R@=zq<-6)<)X+taVfseB(8o(g7M5{;xqpERiC_DxI#1fFFJP? zW3hxq%j|6~TMbnRzxr*c_rl)Ola%X~0Rc%4GpNm2z{V3DRhNga;|#p0;biIuvRb|1lqm)6+JYM!!0lO!3Y$z+u?`E1YV zAuc3!>gNA?EN?exu3H-uP+!St%$DfoZudY>UHnF@SzvCw8 zCwOmkko4DQMstoprG07J9Ivm2OJ|h$273-R^+<5=8{zUW6R{bot&H% zC&Sokek0$Ey-;g+Qn#pux;O85BX4wVZnl}nO2-9L#Tni0hs7?CU&8_OIF$}#+avfC z^l+0#T@i0&ci^I#-7fEt*5jFUZLRmsqwOz`72Ac8-MczT+4BaSh1Hmu$j8*@GoYV~ zud@83Ob9SGJX@j zdvNckK5ysd^wiEjuu+f=6#nTLlX3Q~B`*=a>4O85OhW@=Q+DDWsVs0?h>vjA9R#m( zYOMs!3|6|$)S}#9=l47v%(Nba@Ql1q{S0-QNOs+zK}HN5^&y)sOBTs)kcKbS+*3n{ z@dwu+Ou^)~6_uf2CsQB8+H|8|Z2`z@K#o*OMq~yjA?ci8$iq`F8awre&Me=WxTbAk zM(oIA+n!xqjT;WWqD9XOZsjsfsX_yZQ&x5_Ld1|1!yDtuf3{Mj1S;&g(g`rH-5j%A zf87(RZly`Ke<6bY;6)!3S*B7T^cOyp3UuM-PCUmjB%ip7}>mk~nf*NxdnO`@Eolw*Ua(GZ}q zd&<8lhITWHd*Uwll3+15v{irdX$O=>#(4?>XvBTT)UC?{yo}b~2G^p90w{TrSG{;^ zk6CI&7O4ZU(_iYWh)hh+mPjgHSa#Bjt;uvvuYk)=?}~SKXMD;C7qM;Lo!8)?A5=d+ z%53gX*?r<4r==#l&Iv;2-b&31-9YvJ`3B7|bJkSNrc63#O1cGh=jHd&8cP>4Ypt4+ zv+?CL8YN;wk@*>Gjt6z-D9BJRYze#u6}4$>M>M*~MAZz~Me!v%Y?3E1_)`jR=A0bh z3)SS7x5Cv8AS+Ma)edy#pu>8Mt=}Hw718y~fsD_sN5+_1iQQk-nae1P>MTAT;++OE z#N5wrtKP<2J-;EtUU1``a*42?{hk z`73^9@oEk=xpXNRAU-)CIkwKFe4N1JnnpD(#nXq8-o1$5t|-){tP3a@U@|k zWqpJ+7t>D(T6W+v&AsEpNi;=34wIlMvgfexu1^hgFu#$X&*6N4O!6`BCspoYN225) zj+6Dg??{5H4|5|?!lITbJL@ygQm*n8#{pD40N(T}`??$D0I?pqjsaTlFe>ulDGG7# zr|vPYkVIRp(*Ze)38(cZwQ#`Q%EE8|z2NG?m44ZZpoh?rEHzd}0oeDVUJgPS2OQdVL`VqV;;{!g|r=E4J zL1m&h;_rTmIB|N}**lK*kCQVnZE=O~*V7ZAcyF=6Qb*!5l@W(t(@LK6K0TGRz6_Wo z-rww0dr9XPr+LF9I$@js(!XK)ZF9@ITqX5-X=u(-_}n({dprSvUVZ{8fTs?CZct_Cv53K(PMpLU#A76A9Mm*pWu6$Z6A{P zisN=yElN}B5bg!CBAWn{cs_rBkO%<`m*iEphko0IB+Pz?Qmv(qH=Qj_Ts<;GUE@0ZfnVmOT7kK(*^1|B&Z9^vq(}Vm0_7<9qT*U`})wfI6*c zy^3%)-cZUHUVzGpCuJF3Hg1mX-&a~tUxz7vJQPg!FNO6UTGAVP0hPWh7}QgD-rvffdBb3v#Gv(B=fY*_U=d^dCK#XXzo z`5|*HpS}oGgel%$(>|lx_iRSUZwmkL5Q9)CClu8|+#epby-gJang+ep+aUq!aU|T@ znTdm9bc32MEN!YA1)pVS20gGmQt=h7(b>q2pa9d_jF?emondVp$KrkQ-AREIvPro} zx#l~D_nlk5Qg-=X)#X3NxOvhWhqmUmSE`S#)!AOg^cSF@K2fSi`z6MyUobiIEyT<( zLis!(>+OOCNb8kGo~1tFY*GqW*!On{I>*t0);+K7Cpz}6C>wnr+8xSh&f7%!SL{7q ziC0@%D?^fUZnJ4qdMWW!Nn|c;S<;W9*zb&taBI|9qbndV3$?By=a;H-Jl48{AvsO6 zV_Z+2&Y^tO=f4mjKOWMQ*Q)gB!G zI6dEVeE4K!WDw`zbeHw47u)*MQvi}Ip4XE1#hm~ebeCRwf5P9J;P_NWN%A9z|0-II ze@i=W88>Fmz{#dh6!wOuHJq0gHjf$G>lNf6;DaQ0QUt1O?NG23!EaONTy1$vb&aiv zyh}J_oSR6Ps@^P}uEqwz;|@=#L|~mz1#|_$EmW&%mj4zXk(s%33+gdrX%wth4OtmSMwUL zHghC$U$yekA7rMfB@bJ3K;WK0Q>2nOAQk1Be{W7`JLFsr=FF|#U%do`*s~t7A0+i` z>W3BE->@P)Rv3D#_Y=VqsJiQCWVaFhSo`bI6e1Q>oXQ8=(Nx`+V94Wep%0^s-|NqQ zr4r1gSkX70>M%);S$Xv0l_KfbFS5MW=?~*DYtAV!4%pCf?Bf)u{Aeswg;0TtwT&~%6 zm9Y&adQ;@3xw%43qL7zqAG1*-7)_oq)u%&w_XCo`VWi6^)t;W&dTo=ODvGexJ}o_p6KyH^L3_ z5nH%P8O{O+%}x!mPQ8v&J)pZPt!M2K@|OcD1NWyB#Oge9Q_AL&# zS=4v%22u?n;EZh2o}){`IyF$xZ!dxw?{xi4slX2&H9wA7@bf+Se_8w`)w^Dys1B_u zjj4`oNG&rjD~lP8$%e-LgzH{M4ew*Z+a%vDrNMoy?V#jUrANOCmO%Gph8LRFQM-?J zTY})aP)CU1h@RI`>gpDS^g|jeS7|O6Y}y3l#PvA{L(&utUTkbps)7wX|~;vXiiLH+H?b-un1axmi-4 z%KUEsxVT=}DhWx`70c0@2DX4y3=rDg6d(ZD`vnve#3J^NQ1lLrjKmC0S^I{0k_6&wbN zX5H0`03<`;hl2)k-)pGq*Z$VuD?5EV!uZ1lvU<4&EWpHsT+P1;>`+aFwYrS~GTRu; z6R1r{vcAy{^qBXokF@!shh`N&ZP%K?$xzeM!Vyzd0f~rqOgc3UehV>>1?)kDh%^a% z2=uDMC@`^%{%C5#t3C+?YFayz(+XHbzP5%11ttK-tmT8+zdPN7wg>71is=J>FUJA0 z=0G}>Gm7GeZw2z*f(IG}{mi&#xY-fWA0?b_etwo$3}WBZ;MZ` zJlr>pS4jOwUzUhd;BQQfoX9_x>Hz8Ib(!VvyMX)J?*A{?oF*gMxtsWe2n|0PI3U!3cIi_$-EX_*(M0>V>rmsXzU~ z=_vrTb2GC;F)?!I;3uT*^~3a2(9?-yL9Q9%km;-X*&?e;a1MHVf^i6H_W*kb?AH@2 zeRzlTYKw!fb*pFonNmYNhzx`D!Ll)8`7SrC>kALGp*PWo@XC>b@n~-$2-NHwvKb)v zcjo&J_VwrAw4?R&N9NTw`DY{c$5u!(o1WgcbnScg$9J*0S|4+#2aX_g8TGprD1CN> z&F{0OjOlcyXbFtVk5A`EtpcXSTN{k)Z^FdR3e>Ya$cG=EQ?H%p34h6v+~(~|a+@D9 z5q>G;>q`U3u8-B!&nbc0#P{35!rmQcyl<&MOvb}atQ_&PeCQ6%Fas%EZE&BJcO5~- zCnYrSr+-YxDbW3!(O=+BUL?xTIq+L`U7}uOn1S~#1tucD6@)*QKX{L??_B-9G(Usj z-@`wbyS`{b`9Qj!r4vToz9juXy0bl2L4*>5*V!>spBu+<)5xE#c)p;YF+hu`&xk}I zyTQE4pBzM#5WB(OEt8PD&YoTsL_gz7NUxahH?-h{2W@R`9-qPtV7pI1?*892)_r1! z_9NfPglW6ejI+K+uUN>}@L!>ibx!<9mvXy$I<+rBe8oUNMsfsNkA!bAYKUO>z-vZR zGQwA6{n<-FP1>px3hs`!QQ|U;w%9#JC(k*7O&+@Zg1!^FNpB9|F7z+WJ)pk!2UHsj zYwqnlKV5Rpr!@eIGxi;@O-+i^C|fq8spz=pNQ~>TC6@(#MMvCG8_3NzNUUI9vG1T) zl_;*2Ev3gWS-@P8Yf8PGwd-2H{NQ8qwM$Yh_p|jH$F=$ZRz&Q+#4&G2C6xmND<=m$ z1ms>F;`U+919X4p93*!Wm~3V5m%9Hi-v*U$4mBkoDMGkczIDn}%E?jlSYKp>sD{^x zo5Iq#sn--Vy64GvuXx)0iM}IAox|aiwY`~AkPA^^93FlT_$hB-o8xZqpgP4TBx`bS zT5Hng5GJz(Wi~A_)INR~UdXviFZ)D23oZ@|SFdDAK8EM2XJE!K%k$2EW`=8DrIYSO z{@DR<0T+^y_;gj?i4;qgM z3talMpL>z-bd*-z(GgSf@bxfG5pT*wT)TVn+Wc?zi-~j6zQ_oUJd;!5(%R*~t(C=t z10fhw{}T2zWGi=UxedJ&x{9IUC^WlVtmTYW(U{b;MLU}@#{}DDh-V3i@HZ$tuB#gS3=AnPzuth^+PSN5 zqZ4m@8~zZXB)_~z=-SC9K_p%|`B0@rzOSFxCT?S07Jrt5g`2_+-pV{Ic3&ka|w1 zua+pEAISfc_L^es)|M!mLG^1PJYTwSkN$Y|x$1T!(-tu9-X6Q{Q2t06E@OxO;N-ym zHOZL_!4I+~_HgMGkb^5Kc=^Z_y+_W#bmoV7JGY4B0vuKhN#*`NK zt%&*XScaekCD-(a2!A|P?m017IStpnHz_)<=jO3!pfLtrYz-?A$(3OJTj+&?&cTw^ zu|vw1~G8DY(B9tEuAcoD_PH zJFhnMUZb3hKclnUE~0;ilQ1}#vK_a17EEXUAFp4xn<<$t@87|EbPYq{9}2ZYCo>xX z>jAot$Joo5vWDMI_m&Sb zSVgKZ73YjhZJVF1-?M{RBFz@tzq>i0ajs*!FN+3qJU6cqHt+8s>uN~IXqa`t&&LX%FAoC?FfB1gWVvo( zFw*9uI0|(5ZHdevJh!VPHt3|=5HvAhWUzxt9@bA53hG6NKLJiW`PYv)2s_jqrMaFA z?Eb$ynY`~6>j`~z31=V3nlp|Czp7Ias)y-40@FIEyQ5zc+-m4*?zDs^xYdA?mR*_4 zrvu%xdED=-LnY0O_n&$xuo|cku!_99`!N|dj#GeHC0of14sno(zm#l~6|cL(&daS# zdL~fnbR5b6%Y!n_c^w!_TBcPO?dCr+)OjzF9NF~P+ zz#u148Bd^BY8$tSE59Q)8#FNaWU~ndQ|6H|>x+{jvYkyTT)b?{?C_bn% z!5<3(r&LjOvg#WCqJ#^TsH|`d3G^#JQn63Z>~gW`Lq_?QG7(NCMsEix z9Pn#}3|7f8x?;{I&PnJs&L$RVBPO@UQ1V$xc)CzLOH~1 zHkpLYa+n4D{;$i3*ME@#S&5EsWkq~POF7e4`H!efyf;5J5yjbijufxto2QgwEf(iW zM-r&v2P3UKTI)A2;&VSwn0O~$Msm0742ohMc9T$$WHZ~8oJ`3%!Sl1V9XQyo(?T@jOa22urjEt}KOf3*D=M>o8m75H%DHk56JqQ2*LB1M~Z$d2BFbM1Spe1%45fDR7Ad~Tpe zCsU4Pzqs3Sw1@To9gpQ(-;R)2rWx6z=52!Jc#pg3TwmWAlFrXy%~u9nGQZL!q=14q zq>ivP!NNo`Ynw&RK;GbpctY|F9<^vt5RB+R%;4xoS&^h)zj;V~UCP)Lr-(Sl3QsT> zHR?p0?q@iaQ9s`g?V4g8v-J{DKIlT*Zm6OA^CDk6l=}q;HPc^hO%M*7bqIUuin7&+ zycU}r{WgZ(YQa~Q#50M|2c1t?#iya`Z3}evFP1Sg2m&++RxO)4$F)+!$#ylKc{{2r z3|r@%)!5{ND!Iz*PmE|-{NwTw8VhRNEBtl86OrI^j&E|dM)2fHLz`vx$_8tf7o|wj z&&H#7%ciUP(_q;N6`40CrB+4T)w?&3xnl(C?Es3Oj3!yywO3}0r@RJi{@^mzg?B=g z#I|uutoPz|Osk57GDvOqLuN5>)HMDqId^5FL*M67XM0~Y#rPQ^9>a}#N zlfs{iSH8Fsr%gVEb@i|AJbH|06u0RVUcBfOE9sW^LbWyzjUbJGowkme7ebW^PDV~+3tOkKx-U+`P@&q$u#Td z5?^IEeWtrFnFp9@2{1@9shox<)!&A1j(J8C;KLp$8cRVhC@-t++z&~(At-7NCBZ8D zypM#EO1CG{GI(@XWDQdm9j0(f(X50P$*EaQk?3*jp1(ptR0N&GgI(t1?kr2tQZC4% z9%P^}L5=>PrSo)bb!#it>8Db1h;@J!M;79*!kX)ZC$&jDM3k~k>|`x@-u@!|&Bj^x zMf*fNcjN(*!d|0|i7%`8d};%OT(V$<(tt+(C#=)usmd5~MM=c{>Bnu^-bNdxYOaXF zR5ZxlV$dv>7$c(9T`RZh0^|U8d;Q!FsgVJay^3_dz2Q0Ib+u- zABig=0FwhHf>^9K>H6G@=*Qwlj<+`8i;@E?uQ01IH&^P>%VJZgO;KUsRO5MYB%EUD zAqTnCGlw5lv|kO_e8-T=vnN&s^s~S&-MQdTBxetZMzDz$MP}28L0!%UJZYt-{kdOo z=PO(L&dv)cikO0|-Jqi2wXXD&^c%m+3Y9CrwfMoEMj^@jlpf#Bi)h(nF=k1x5z~)cwH1c)_i<0cwB`YT; z!OSl!r)P(KM3YQw?(aBw#q~)UyfKt&o87q!PezI>%I|;Yl&DU3I7!qNDl$8&ns#R#R0j^qy+hXokURiBE%Y!3}tlek$_}qr+?ge zbnfH5+3IhOv>l4+#scOmUO{nZBkodXj!)O{1r}v(e0&|pYq#q^hcjz%?mkaNLGcLZ zJ84!}-JZ_wmAki5g1MS^CA!P)A>2d5o~}m{gV@|UH6qs6fbD5z4Ng9pi|$fnCIne! z1)KX3Um0|rw(+20x-i3lmcEKzGBmPe0^9;cPk}iAtI~!)PNtk_reC_{OCEDlCX*b~ zm=OJL0Nf%{y=2SN~$yEi#my;C+5s#WnlQ zN|5YGZ?~@lV11$7RZNk@rkO`|mAGNrbA2Yxx*i9Sg?*F0#-3V)&l@vMzl2K4)RwOf z5A;Q@^4S!aVddSAqH6 z;RX=$oBFHI(X=T-OM}AU?mIF(yoREk@%wa z`**0}!)#{64IO@)IEpzS`mDx0cs<-^h44ugUS&L6Xn7p_H08;$_l3jFZaY=t@?&W= z@5!iArEi7MA3aw50$21*fP;0~dW4yR$&@_(BHl(sYK>%yCPSmbHYaguhAe1&4yMcV zC0&7C#o$`Zfea+tfk90gx;L9JfG3%qM^0-b=D7zsz5mvCmhzh$GbSR-HCJ?nMo1Tg zbgU2B?zwehzwPhZ3janj`m?W#E+INg4(+p7@9d8(eQ~xp^6y!bTwM#x{>HPb#hk@l ze2ebrLsXfgZCuUWi2U*7``LRqJ@JB8>87b}0Ap`ja}-sdoPE})T_eeM#~N#L!_#$O z+Uw}tOZ8m;we;@Ff=5a&mprZtLw?jr5iN=d(0Hgfcl_DVXjc0pL4~_Px$w5t&K)l9 z#sP2ti+8KSu?mU8EBj729N!fE>20x<*j7tXQUBP(21Jg#oKt(FFd;$-2Le87@sicAnYfB8WX!gv8Um*1vF@GUS>xW@pQA5ZCK+S#wIpq z(Yg?r-I;6>pPlM0R7&rIZ`>H*3D5qbuCdvDEKZu%y@0PyGgt2jccN|fR*#nqZ_*o? zMZ-R5b%)FExbBS8yyb;@qfwH`lTE%RVeD|#v8eoP0C$#N0A4n8_9-Yo9JEtUqFXCM z=FQ1(bj-R{?mejk3RX4dW$I@4404iB$z(4r;*rx;a!V@%j*=7g*j6Yc8?+bNV;Gc8 z%E13A+tBfHk~FgXv72#XSWeE5iVrKvG7`5!`1{6&GwgUfgLjKTw(sU(O{c&X_riEr zUTYT9eV*M`QY%=nE70T73OFU?Xd`no8VAAj&E;@KZVD^tAxN=DvGKk+HK@ztkqTZK zT9<`BR?VUi02Pf!=#w%gfMvqB({tJhqxj2_QE@r-c>h!OT<~7-t=n!Xyrpchs~WZF z2XBt6824siDGB=uvWIa=*w9n5#1l#Pn ze_Z~$vcUPt47r>C!4OPsDWIMp5YX0*ZzXomQ|JmFHpcCbQmO!lN_T#O8c6~T(H13_ zNMB9Yt+cJ9E<;YdApgrqs?eYr{PG+ajjmmHzuZk0hX2%MC#uV6Y99TxA>r1*%0rmK z?so}4sqXV+^sc^t8+3KD-!u(hY{{2hsst#DCc;_nZC&Me(DJXTZlA;jU0dwSc;{eR zu&)5yZ$4XT36LDAh@zk*C~X{*I|Zp0ohM}zhu0G5)sFFD$O>lgEDk^sF5xU#SWgMb9t+Rq?$Au8#PSBgyT9T>8^z8UZDx&Yo z_Fnd(=p|wBr4MK6Y(m&ZuZCWW)L_ERos4SewZS;5uG;Ba^B8zh_DO`lf7m1{Z@kfq zX(LQIqZlf~tp!ssp1tq1-&H$zM&BXI^gPbHutKTzh|Wa1zyp71p@-xA_B!=uBzjJY z6^lvkXSEGp8M2b%fuBq6;_}@XY~drAYr58GVzU0`Lr82=45{H~Ghuj_Ym$aJ{dT<> zq93=q^V@gujh7iz6jQ|r+t4qCn#K1FZq#w<0%zoTdVqrR#a5p!Vp1uQLsKCoxKw99 zT36g8rm#cf@UD!R+94B-W3<-2nB~lHsz^4kQX=D3x{=l#Jd(a<&OiBRlx@MVEEDC)vhqvOG&aUp-`5zg}l6EEn@?I-=|(vOZRB zhA7Pu_0eXTxV}KUjJ8;_;4NCMilq9O#THP7Cx!72_;=elTL|xlu_)K0Fu7`S%kT9< zi!VHM4Y<#Pt8G_b)^AL1Q);52c%;DvK(n3cM0zykbmnf;o?<#PyUI~i_Q9q+@!613 zDc4R6ka%{S2a=2!98k|5$3?XPG#Shy+i=K5|1g&3$P(f{eobcAGX-qIyFC>k?P(Oa zJg#;N@3%d|8i2md>F6E96(nf|r2=y`&QsrDBWP#a@_PL<-Ip=~ zM^|pw`Y+ht$PTqX4@ey8(n$WMaJ*LN|BCqJL>aQ&dB#FO$l6AUB9s^2tC zb9vxRngdN?)k_&ZpO#w(mybo}GbC&mPEE6?owqH=zPimEPxNCITsVa!^WfD4-1)@_ zTWqR0oj~0KgDo5{L}ak{JsCM%kabfE_EW<3I5=Ha(liX`=UehLta1ka?u>NjFfm2& zcn;x;F43m5IH`51M~^sKTW&p-UW+7SF2g-}y@`P0@ikYo<0~;g$LIjY>tW3v^o&~R zFhHNw)q(C*b8P2rVU=~I;QFkK(CaYOOvgxEG|YaQ=5IsBjGz`J8z>3V-C~Q&KU!*Y ztQ`)hLE4GqI%_KU=;*dHTA|n4yQxu2ho@TM5z^~9L?!z9^a_eMMR4F_Z#+Y3blO~Dc?`DRe!wrKI4~I}Qx+oS6>^C2ki4O9>PKJ%KWI}$b>KtXqf?Uf^ zm|MY_kyUtRSQw_6bUT32cG9v|VnO_Sn(s!PA#}6pRNc%=t+v^XPAB!t*j2kjL!<}L ztxken-iR25J(s{z6>(DC+Gi3hMte{7l7RYPNfaHbwqmMEMmPZKRFS9)6Kg_Yy5|;k za9&J1LW+tnlS^evgO8gmw~IO`#bJNf3HZG)SBb)V>-kW{s`ljIp#*}IM0WmFy zw&^vjYE$}C^Gi^iOHeK4(7;~$UzJiNcC;%(nH6WR(s<8iOF37~48-y!B~vv1qik2p zRIZdIA~fdDp>sg2=iTj$A6xMXKldy%QPJ@+IpwtZ*Vax7x|~3ZEBGe4`FIAUI#VIARARtH7?mYFjD)WDW^%(5%ChWh5oIa#ULv;KoEBUemp)6y&8<3q z_ZS@meD(5!!Xt?1OCrgJFw<9^p<|GDM#jD;t#>M@fYMnONqaSqV`U`4K;s_(<3KeF zM$3|w5@l#=bl@1zyPwm?VGxI}svA>GvV>-|V@&jYysm>5Ql{G4-xudA&vwrG7^l&# zXsedc3^r@)5nETotY&@d-$SHFB+J>4T#zYhcv=xWvRA zJSPe^D;_O@q-HaK`!Dd|TVD z?5D5|8yHF}6R;(dcia!98)6S@oDmCM>0=s2HkLpZf2)agBcM-pLh)4f2?Yu-xgKLd z(@1OpTj2`F6FBfa!N$`{{zSVme$?I1XU_1q@O^=?et~|pdIxsO7UE|RBb!J8vFF|Z zQ^@U!s94&C6+5KUA8LBpoLxT&G#wE-SNw?5Of5VtJ$blk={o#CIbSa!)ulb*aCe=( z8ot)?F}WQNXP(sOE88mOqHwwDBPd=0h6=MqvL!6B)IesCHam5-EEQ>Mk}tps5!sn2 z&)yDDbjhYNF#~EXrNV&buY`{a%z8j@_~ZO=Xu>Tt;^X3$3wYeUAtwTPYo>4 ziftE;wbfH8p#B}lCy#;rS~U@--rSj}A=}=yb`fo69$?LLylyqk6i32#j}yac#AR^k ze5ud=TM(3#dN63^hMET;0LY~}68MqRC?&qb7-WC2R+V?kg0Dg}pPGXYnii}Xw=Whnckr;xc zlz3|qdD6E*z_Tf*#wx)MP}3NZd9I-Nwg5D<)+}P(G9H@{3^ht%sq@U1OqjLqFJe4m z!+XAlmARs1^5Kz<22hk02W0*o3yBlns99Sqd8|AsJG0@9(YJ7~UI@1j=$AA4Kzsz- zyGR0=+;(Y9Zdj?jT^(%D4}%Oj$UYVs1DA&=y^E)sR}%xzUc@ zH{A0`i;iS=0tCxiOZ&~KsOjSQ+-a#^gpUo&gTsQt6NDYrW2k+c9a$psKb6NpJ9x$3 z1@k6PIt5~$)f)1GyhG?sPVdYO|7;n*Hs-wUj6GG#uhzy*IdwePx99QPmsL;9tAkxZ zpW)LDzf)diSG-Ol-Z|EDKv7QCS_F>Hp~o=Vt!!W?B|;>f?H688EvqAWa;}i~E6C9@ zuq&B--Z|x5r*K?F2qr_jTpOdAtY`T17MG#Rv4n!{P&H-P&+_6*mUtYakIr2A-6sIb zGQlzmjHH~CWmD>66^d_#ESg^j`cXP7cJr*Db*f!}ee+JIyiakz*((c)<#=}FK$y&_ ziz=iE&R}8_){j~5^J*k2?~(`8wVa&hobxr0vxFv(mM-$`<+%CFR=VoN+q^^0m%>Y= zX0i8Mwu6sd0%J-=lg*hcN2>*tLGA06`4JLSXxg{1`%zQqvgetz?#Ng!890|vvba~s~wAJ=O`$5&BtoLxMm#IY; zUGXdqs7cnjax0uMihZ2k5vX+_SMq1o#5pO|{C%yvO!Jl7pHt$5YEN#~S=n=a^ z)@4q_u}snTIi*o1+^P;`cEp~)WvTfd0whh(7k-adbg%m-OEM{-+4uDVir1r9g!b^HFi|+mP*f`gJ{pQx zioArB7=7=`HW(BL+Br;vN6?$Z4+tX$lk-oS*QSqb^^A?TCz+xeo1iI9@E_I~Dq^5a z+331*1*;uYf+*?m=~5tu3GDH=jTTq~vOp%G)qin|5MT=mV&hXkiRaY?uJkS%I&tlU@`P zFu#R^r|<~ZIfY3W9MDX#uk5nO9(>LV zE=*1U#OWXDA^rC(>C#B<0UtDpoydo_UmDyVR%4n$`&JbJVu*a8bbVm!a+b~15nJua z!&R!LF7c0Eq^2}!P{%$%C{iMWhubz%a6W6zzC$Q7^L!8M*390B|Iqco&byO)Dz|%T z{yqH5#TjOw1?**~8U*zXjEABp#=pCm?%@Rmcgslc1i?Mo?s3t{=SJQOK}px-j&eoV zGXc59Y3=a)r)00da(jnb-kB3r?xIORoPq>5-ur7!SU2cHceF3#$%Z82tmg0BPbb%kHN@8;ZIf5_`=^WL?c*sgH;IOq?o>|-)=JoXD)f>8Xh(gi(YmqUL(ikP zmNC@%v`St&kGEe*W&%_)BB|P(gn|?`BxX}SuaNCo$b|pe!o@6>BgOS)Z*Ed-?iQN+ zm#+rVED;~W-vt)SmDC~&H)XHKZ>`a(@X{ZsbRE&S6pY^&7n(uteDD(}4mQ009zXhi z6egSrVhsuAE$w9zUB1aNwp3KM>T#VYEXKTW;A`DG#t5&O;>mngCNwEK-r!-z@ce|% z00u4h*tzmW%L1bC+{dNiiAq2%YyFUcjhe*JXW4$3yhnem3JCsBqGvDV z)P{!Z3fP^^9sHW7h{B1_&O8X_{@5lpFH~YGpJ@(rBHd;wS-VX@4XrG%RBnF2&}4|j zOlQMtnK@wBZ5f^q(A^VqdpwpM2%4b4k#rac&NU~*&;l*Ve&TcCy~3b{W=EZ|Ycn%$ zIrP<+fua;2Xk8H$v0-*i3C^1c&)qE!o%uYcz&2RHfCHMf2c#5FUGFf#6d^Z>7Hu+^ zVg>7>TBc`xEiNU1yT67kMnU`Ja$^t3A6G-pc98W6RvZMfZ5?Tw$V=jy16UC-M8({$ z6gKXBfM~EwT9L|3ZfV4a{LAJ` zb3j&v>ad$TS8PK2B4nU&Ya-=|=laIi2?w<Q zI!?QKBQ>y(UVui`oEVV1<%Ebe^#(DyT}6{N`$UhCjTD5A$sO7?sY<@t0moz^ z>e%Gd!!+u#9=^*8PNpTkz0$tUWRmqxc$b*7-Zrg#Z+%ZgIa%CZmcSzCgYlG`=uZ0wWCeLf7YQ!Li6iUiBv+EDZp5N=O)#dK##5-l7_WveSClT zp*ZkKLstrB_x_}}K-%d(Q)KFXM@26^$K1nlF-*70n3J=n6VB3#)RrS*>r0KzT)UzCN(i}{>?Sp*hvya5DPQyg!FknR)Rvqx z_H+zFmAUMAIWqlhlgTM$Ihzg?qM)4WFz}$|nC1BqSUFBxHykZvW(bnR05>)8!R02-Dj8@@B=l$qe8M%}mK@27q&M6!%k+q0tTYGZrg^wU8 zclo1hygjM@@tzw-rs!yG&N!BwjE@kDkreDRB2I*wm17#K$G=`F)f7rv!OU_~)U1}G z#Gxis={Xxqu_FAszAdtvdpjcDFU|wpT602ec{cmsVH!PKZJq|X;y?yOu427YOeEtE z`p!~Q>$q$LciA6bgig=jgp}oEv5<~DdQPX~&N1{qi&^i>+WMH&HggziTt}e4c^~^t zb4`9T{M^e{_~goAmdJOnZiJdBPzHzh%}&e#t#R2fCx*Pw%H1}#9iJ5gH$UcB;xjuq>0u3nPe>pM}Cx22pgm$ zc3+-&-chQoS|p*3u*jm|63^HBM?b(y?C9D5ZQ;!M-+JUMT#WyjG&2*iGc*1_bJYJF zICC&@F#g{fInn>Z73Bi1jB544K^)~o!q|%}8Hu1EBqYgQ2nok-h|7pWS_Ebuixdli zj8xbmh;#PuQvoNW*Z2GZF!STybCY?)!(-Y}(_Q`X{&mel)X_}P(@EEllOO3<@EQyz zFz*+d-fjqlBrXC3hC&Vj@?=0sG5XH~F^jZ+4k6rI^poVtUb8C1?ZzP8<3_r)Mre?Fd-zMS5FNT2?gn$XG?Fc2c>VfC$Nv5 z9ml!|A1N5J|3dt|IJ_KkSb_fz^z}lB9AZrsT)vXp1>lmzgnDf&H4^BRL1=x@2 z;fpORBZ>wt%mLLdkn1a5{#FfVl8mO$n($X<7O`C-?p@6{nn5)Z?qroG?6+zwV4wAsPn7<}zb2F4fc7Twzk##6zVhJD=_N6x9~Kl?d~70^fHn{k18(VV&EfmD z_^55cECXAyudf~{2z2d0B+y;xnjjfG{c5_I_BjvmPG zjlx{NTaed#Sbw0;enTQSRl$59=*hmH9gW7m+MafxFVuglV_~4eZ`O#mq94}FyOn46 z?_UrMyE|gZeo9M+kH*me1SfDJ``MB9p0^v-b}vv zEA>rN6JGRO;B>bXur4kC3D5j~S}Kqa5p~#zn;BhCewxekd$ABk2d=WdyG2qnm?vQk zE8vCK1bzgLVzzfN`!etleuGvJ1(ut%qg4ZsJE?2to+u>R1Ofwc&( zejBFLrg8#Zp2Iwo4_9K5gaLa6GqN@YyM6s;6p#ms7BCP3O1=98c7amc*ZV+A0)aBj zF47z4uZI#qIy=06ZUIqJM>-07rTeL+tV}-&Qfiq`iF# z>B4jo;NepBuKb!x2MZ=+d+|-1xLWqU!6|@$m}s50^#4%y4vo2RZO~Jho=Icy4!Vc?5A4CUR#jP|yl;N4pn*d2N9Tv#Bdj1YK298^B&co_ zui08Zctrj5k4B=sXVt*;bLKy4(JW!Q+gS9>SPl&Y`^d7h&7M>@q!oz^9O>vbtn*y0 z5UC8L`=v0tCFKhn%5WBglzrjpuf5EgSk|eXtH`qurDk_#e5xFFCv)S-XduvUMpI0k zEmwGu#3QBGs`G?-akK7Nxd(+F)dcTwfYvT|2p)3oAh8~MR%O+U2I{5K-@w@V3Gt#tfMmyu=$(E`q=pGitGSv z^=owB8S1UH!^Mv!VG>@t%=ZO3%<)$Ty5Q=eBFUe3VLPZsC(XW{8#A?sfG?t~|3C=@ z1xL!a+?&SK;qW9={T(NFpOF!AT^w^xkjI$(Np+j+H7cg7=4W2FTV$)+B4*gFTX#D+ zE;S;|yihg;?fnHYaG?G+2A$9?vwb8!6OM{SmRg35k#P@`ojkN6AH^J(S$eeVaD=aw zfqEX@llRzxh(S1=|2luNQk0xarncz#P1`#7=;F2|U*MZ_&|z+*D!OjR3INE4@WL-k zDW-G^i5_M4P@fxJP;15wOO>A`ObvPLr7_7kv{~ZoVELIz9>Xq^F+B#Ez~AZQvGrPI zu`+akcK3)e{t)&R2*Ar3IiYoNY*#_{c@g>VF4^F)>xn2$%IeOBH`i6);S*-Yz{h#w zXmX!d;21oDHW>VvRO)WNUuv@QLt4rx@L01mg`t{YP2hbGG+)1@*=1vWn{RBF@|=MZ zbxCmDo+>}_&s=mz#FIN7!%saOwAT6&;ZJWxQv(X{>moR%mJT0tdRoh-}QB&S%U6c3sTbjXZJ^SrJjI`{cFk9^JFpb7iyP4c%=8{>DGuJ;`3f>ty zSWnUQZ~R|-S2*4Xwu850|GkVZS%rE|rYt-#+v4h1v;o;68+XN(pfC z5)Po=Ew(6se4y@lD4p_(*j*i#Z1yY2gDPA7ri-%trHk+6_e^!y2FE zMm)oR==K!fSL7Cjv7>PvKQmxQQinJ_`yOVTMQJ(D&NNd_4M5?(fX=}^8P6>SQd zrhRQ$n=?)7o(i|TTuUpPCqEAjX-+~}!7>fkX~mHgQzirfuYsfzzWe6$>Tc7oi!0DB z=3OqZ`ustC&ja@Qdx1|2y^q4MBS`w<7pvmI<{cg?qLHlB37wa9+*ee!6k&FNuQAIp zlHIdfXIwkAFL!TrW@BuHMh9^MscXC4E&YA+MgH7qWE=(?W;Hvx%17@irwgkx1qmJn zvewx8xeq4@Il^(ztLWIdRrH*p7`^NZ(Ei@dhsc+vd~A$fDy27U zVTXZ!fl1lhCuGw8cg*pyLfNS#3s88EbzJUUKkROH2#TLU`uqRKKn(-xbusqwo|0Oft33cl%K63~M z+dehs6XJQntT$1>n%X`sYsGp zzZ+5o1^p6Rq>wuJgLWy>A}QmObxUS9G~TAODr2F4rPx>~TioALt%p%>F;H0-mEQ9y z1(5W-hWc4&1@v4~lLuelB-DV{bYY6a8!w=Z0GC~l)YMU(xhS*0UPd0Ae;l1#MQLo} zZ87pt=t>ZLmiF5b6*o+<6?i{-<_YdkV54dJ)N#t6{E3xYl4aogqm4eM;$H2eSKL{Z zcyS;^+16^HURXmAauM;dbwDu&%}8!Ti|a^PK2rRr0Iv^d5jyj|dt>!Es=FwoXK&kW zSuZj_PY1yfFV_mlgxV|JW?%J^TMe5gG9=%f#TXLFc9?}0qjof*VjI2|p>FcAVQ#K2 z5to8+xZKiacwCm0zF{Uh=Z$`@k$BoB{-`p0SyePNa;?%v=GumOzTp0S`xI9EbP*Aa zmIT|^^bPE+pWY-X!P%SP_-2>4oSBwC>#Vv*{aqtE@x8gI6&DIIgQe7m{mxGV;{S+dACG@%Lred|=wq~7h`fAWC4OA4=R+w&ql?>0?m@Z$g=u=AWx7yZ~`Z)TDJr zBCC2ul33#sv37>jf*DPW1aEISeU(+M^0da;q@uYN&Bo?!{2M-VzEsja1Fcn=vgi}< za%ngjs*w0@ZmYLC>_nd|Xs-HrxTYdIFv`9t#BawjDG4>@!3KTA(1k%vXwJ@gYMr7I&JZ|A%Q>|toQ%FGqvcpf@w|i* zTbwUmzWsGte>IC3)h3^MymC0PU*NKr=8bq7zF*(^ELRXGIKhDlqrk(CC8)gSZq4R> zJt~vToytgr7@*eq^mhVmT>3lr8?*NS=gX!d@`W-}XrO%VlTtEk-itgjz;iE2_%D=h zv2xNt(HcCDh#PnM>$Vf#tyeMv&9n8i|plA z?MYTSI=j1V7%Er-;_US62X_{ae?^F28zr}*A`b{a> z@`s;;ltSzw_=sWMj0}>}P~y9Ex?w6l!Yc+*CuxQ`i~A*s)TvA=Q*OH$9H)C=yOlfq zMJGPF7!$Szm}d0Oo@xvgse`;jLFv%*-Leyg_SobiQ~|BykaG4iK>&giE2ZF!D%OjU z(ZP)nZ@xrWh$DW=o@|HrL`_hZZ6I+37)}F)ad;L*t>N#x%`O3C~ ztU=Y7`uAt&iu?Kxqxfm|gO?@DlC_0^-Wvzo+QM#z+|kax6mjNT--=62+2A&@&B2Q)qn;+%dA~{&-dk6Q7qz6%Cf%%WVap+K7=>z7T zIW>MUYxjiFnL90lGy3SG&aV&TS{J+;s$*7reQ^VlL6EqqTyMXDOG(h?N&?7R60K@j z+wLat7rs|PAH621`4*7gaWp?2syp&hJe`}sDlF-5SY^;zI=PREAUUhH_(k6KI78|(7lBxFIgjNy2Gl{f5Pik>dO^@&#EU}xiSkj$r0;h_ii;> zt%oFwqjJZ;Gt8>Qmwmp3^z&5*@Sw??N+Ii!RNd!n*FsXlS{^L zfjyzYNvZwdVKI)?B=jZ{4%T(MklFywyJ-O8&%G=<{T!m?HGQAtx?G^(4v39lF34(sWGzKmrp zoZ=$dC-^KPAFiKIV$!qNODf#4>rY{!EGRIdgW zc20Q2LnF%@y}WDz(0me}l`p))Ykd^e;1){`U^%?=ypU(U#KcilOlH8-{@IYll*NrK zq{glLx%BbNNH^<$e(Nuiw{kdKLg!9(*5nz|>ZUK?#mt$&6TPWh#K++6F8u>&8SwTM z%qyiZRq!rzYSh;i9H<8O?=((yW`QKA{$xcdknLM_$F*HostiSljjWaM36E~8l6gDK zwT+iGyZC9)MBu-Ykhvz~l;!NRqpjZL)9+O(7Ho3lHu%`-J#=GT&iUd{6Lo4;eJ}g9 zTM{g=@J-t0Z8?Q_FI~yzX_wod{PU;Rc)gws)5UTCZaLK?u||dPIQ7``97`0SjZ6vH zbZ3!q!Z-{d0(1mK#dnd3Yg}>37w}Ga=Ow6hszpKkd%me*lU(9PK3ieu5{j`_7J>i% zQfXRD>x}ZhfsA7J@zsvSG@)&Et@7I*AIAGELWn`*iu`)rcia?xMTu1kN!z{<3iP&TSnL(=N4!4lsM-^IuF+xe7tA3v>i; zO=;s1ocMe15u)Vcg6mDc@UxVgqPu_)s>I6O9*8Z)IO z!@t!N-J{$Bbt_&zTCy8q3@Deqll7PJ>?^^)4fTMUo5%fNqnA4bZ)c%9P{~?7!lNOCP~gfS6R5bv3Eyeq2qCblD#tb z#Y9)RbkA7CW{Z{N>uv*y$%EM+b|f2nn=p04@?F(+KD=#ri8#Lh38vu8XV`A?*!_Yo zUM67jKEg)@53(t_mqadR-9ZgMxRdNtaJx?BDM=%Am_6@~xA_lF5;3BE*&ZSwi)8iW z)t5IYB=s;;61%^f)I;7{(xoYB`7+W(szGs951b88V7&v@!TwmqN%-sLrS&)4p&M=3w_fLsM8xA%9qzR;(gxt&RE^- z!x71s5_~zW)lNDB%B77K)@%O;UdgB0HfTL+A8$EKs2TVQJo6!USoR1RCc5vj*v1$( zNtayij8?Bx^ia)pjtkBs%k-NCxnCkn`#*6>CMyk-DmB)e?heM#H@RK4yHE^m@Ovc7 zuhqi^-q1!gek|M3;?KtasjP1qJh$(V@2Ic|c>tKHDm`>7yO*smC9{S@P)Ms4?{oJP zY`Ng9dFT_5?T4PWp%r8auE7Ps@7g5mGsu;fZF>k{-x_J{#?OT}a{C>XR+J~u!snWp zJT+G;X43ZgsjTJr$86bPCLhN3F+%Y z+k(U(Tb_g7B^*+>t{+eeLLw;b*JP;6K)kE1HL+4I0LyfCwX>tW_=f9}y`tsRo1kIy zo8O4|EHeIlulR7p=jxz_>q&U)nI^ub<#s!G{l~2ykV7wH9*vo_cvh!^)4KBo9OY+3 zfNgs4`skp#v}9*>tLxAZZ^Z>iT^NuOcg>kbT zS>3ZCTAY@#*u|pc$5i&{?0{8iV#ojbj^=O5+;eRMxu}-Y|0`ubSWzIe>q^g2RHWvm ztPwzIQ=$XYkgsureUr8dsCy~(uaFphs0$%F4?EH4_Fs@i zl(7wE#E+c~>dNl7WxY!_O^ye(HSM}ufGLw%^Lu821 zMBnksk#(ehY|ESCP90M|QV$w@Hnj+~t7zCB?0OTenljupV)w=C0xW znqroJYTYM5l5MT?+}^%F0Hb+lqE|iqs3hc0I=@r7lrbtQnhh9t%%Unh6~lCL4ox=R z4~w^je5(bFa-8y|Psoc+}A=mkG6#Qjs;g_ zTJCctF_tx@p83_j=!9q8+z+qzpZKN=C_Xq|bI7k5IHr7EOY&TR&^CCxJj*N2?bMx2 z09dBwnC@)0VjT}LtOX;LDZzpS<&*XUTM18JB zP)HUnAcweAFHM5EIkB{k|M0S2soz02qZkXzqhs5v+GtmRJ6$Lh_T0J6PO%@(a^^{# z-VzN$uI-E;6C04a&hUId@p&Mpl0-NYK&(uVknvZ2;X#{wV@E>(FADs;luU~iFiN%s@t@OldKB1QJnu5-I^lk>%$ zqD(e; zu#CQlt>)?ehh!J~td?bQX2lPIEiH=1Cy=&dDqZIPk}vA@+-}X0AljFLBbqWvP+VDK z5KO4tDj(p7Y~x$|kYwa$?6o4BrOj_=(fx4p|&Vk%e;j z9&1vSE)V`HT9u9SzJ@U-FdU36F?5UDW|@gfdbw4uOndgv>@MXi%Z2Er2;}=o2bgdZ zeJI`?PI>eZeyd4@&Sd$%O_V3(!VyESCfu=0U)?q>`NG=-Yru+t@V0 z(rs*$xG$t&d@)m&2P32IuZl3TAMxE=rTG!2!ag1d`tBraz&@^2o;YzsMsy3(NmQ9ywT8*#EEB|C>B=vaoUd|00i{UmWDj+KKAoQp4gQt{&~n zSh%t4hOr39X(&-Kfl$ed(UKmdgNPC_tHX zcLbI(K-~!#p`zg(K?)5AY7XE7hY|NSLhwscV&O#k;aV1z!m{0m691~M{-_86y=zzn z8WP{{-2$2bCs0A(c5p$$N(6aGra&MUaG|8zMuMPjdc?5;;y_SB+&{{p9X`bkuSf<^ zL->c0YVY`*U=?+yV4;RjU$i_9R5%Aw4;YW)9lw)`?-{tZNh^u+G*pO)SSUyE@96n7 zAn+l^)dWP}-L>|Tse~-&bF6qluED?3gA-#a>u^!`k3m+IfYP8apkKpTCOAbrFc2x} zkU%CzqG`fQlJBWbt3b-@cBF6E(NRK_d8!hh0fEc@ zY+74Ov&y2vv0t8pezD0(ssO{pf=Dt&MNvF3un;lPz~pt2@%~;cVWa>t;LkC2SZE30 z(qA|Xozh>h>o1KrF8~gl{(isTMR7xH7_b+BxC34i4{XFg=(pbruyy=9dTXE$AO!op z^IZ1Z{;v(u%RlNDk@_F#0l|F+-joI*T>6(c)ioH=ug(g{>siO;U=9*L!7u&FkYEFA zL8zJ z3MpO~)c-{V1P(3S>%*`*J}iLrut?B|6GY~)9~hY~@KNX&K2i!atg-q!p9hNSI!cd7 z(gO?c2@wVW`_udzFs%8Ocgz1D!yUUc(w%SkeIZ&U97TLdh(c53L<$F>zH7WH60*Gl zPdm69%RJ?O-HCyQd<+)^Rzjma@0zSdkI7MsDhhdV+_P&Cl>#povcO z+_4OuEsRM|_~EM>WUP3`qm^qhhO}K)N0Q(s$KuR|FkYj^3Do`pp^!M|hwI-}uDb4% z8zQl+>cH^5K(__V!}k-kt7X$}O-V!#F=d?otCtz>Z|XKZHTn0iYGIQH8hd6SLt|_H!WTp;1fYDQ;(aiJaunmRo7+0!HR!Nb7`c@aZ4#O&4pwTjZ)#dO z+@*QDZ;)gQ`&?=p<_QFzxthII{yQ}OSdLC9`K%$1ibP$xcOV?umPg-}qAl!|Q;m z+qk=W&X!V*_Ug2(hoVT2el?xzlrEa9;rzC_mK8phYu312GFz&5xW=>XtrBmU-Lv9L zQCwzf91Bt3oT_O{I}pTsWYVp1y2m?BDof3r-;w|tpEPvXJX1hVs!8X0I-Qh2RhmBI z+=y=@GRr3r(*$3$b(Z^#4xV?6N{r3FzzY9UIYyvu(K8IB4@&i z&9?fqiNavy5F@6Db#?GEwd^znS;L_pL4raP|_EN zE1@{-F&QMZBireS*ZGlxL+Lo(t`(QDE%YCywTqS)sVW3cKTkJZVFA4gC28d^JP56K z){)}Xbr+i%B005ld+u?gm#y#fyS>#q$lTj|Shq0@6kFaqXaQ_{2NopzVgC} zHp-{ZTokqRQ=Ctp!>eeaeAhPSvpV?w_JRF{nL_sMp6!O(C!Hn-l)5>P7A{~D#W?jE zZ&sV$kD|Ya7*kcVCfaLp^axm@!6&cPIn0M5;1k$3d78p*-I68YDb2l}%zyTq4GDOc zk`-iP#9MvnwQ6Bb&=gwd^!DOWBbIMnggsr!TNL`a)S`xUDm9dMM{exjoMlLSI=_ms zaE0#lEvhIRX~H~EH~B6g^7kujp1N$X|2U|ivhTc(Xyw!1Jfq76>bMz`M0a;kF!l6m zljQtMCiyHYe`CDaY747yZ8@#oZvYnfbSp`jI(KIjGK79hymJ+&7oS>n4Fz(6Qsxs8 zNCQ%e+rtPCN+n5NEZn!L=JU=}eP=HF8ksY4%p0I`OL$4VAVg(jUw#xn$Bkx5KzQGL z&EBouhgJ%)A~mc1Caqzo5#yX{!#d)vB3nKI8v%yPBVBftarXVumYI`iFJmu)zIL{R zBPz}0AJ~FUS$yOrHIq@8bd2ePma1jYrpdOJ(?7sS#q)6@T><)9M`)}L$#1?+5oNER zRF)YQTQKW_W+LUkT|WP}^=0k~J)_Q33pMzjE))+X*CIc(>8%~4+$yI_s^Z3uRbVhV z#91!orr3O6giiKVaeinp$h*7RAPuw&2Mwn0zsYYSG)x z%g7%e94^X$$AIdocq|pQ;EFYKqex-X5BQ=I)>h5IR8WXNwkwb)x06)bBhp+~B)CVE z{yNnuy3=6hQFoC^^W^Bci%19+LvIxKfg%Qmlb=JusjPdP;h{~Xwp(k;Cb{?!IcmJ> z zEVqsBHYaVOzCrKk^)e1m))%5sxM&v6&ebV^V_}!)%6wqmSF|#BXImK!jO&PPDcztfuz|~S`s`tixFN_3 z({LNjbJJ5gbT(O^dIdf{w`_v}RLAuKy-r&m*1~8Y0P;%n^s`%{3Q7jg5J8gHWRmS9 zvZ&$ZVg8zbFB=AUqGad)aw0BJwYqyZ=K)vMiMQ5pW!kvVq=Vn_^)BHF5z0)y z)kap5^9?xU-zGJ z`2rKRnGNuUt^@~7sz?~FEJJxif=OqNCmbP|AqY40A7a_6yT`sCEvvV2ix@1_@knva zt$`Fl5F?@UFHwQDi$WjeL)o-zIl?)fBJ9+Y;wa!o@3E*=?0nLEbjktuBz&XCChV-L zIbiV|Sb1gh4q{X64m%~|@=3qnB7AJ`U#em;qsH1axHA%0}#5qFc)|+EMO;2Ew{t;Mdz77&cTv!zZ;xi^fO@sT)N&anMQ~Rwic08nL~LU z4mItOvHe$1&Rjh!uumz?nw{1)WMeBe;nZEX&!)k>$D?@NZN}yU9&vIrkn%JjT$UjBk~|7aEX^mrfT>z0S@3+@Tp zO~Zbe*I}ie4`|$sy6?YLM_RlE6?bBboOwAV)RPGg+mK4gkX;vLIkIn&sb=J3>WN59 zH`X`j{jjg^_cBu?ivqzcWB7j^xQT7F4}kRwn;08k{;UG z90PCz`^j#sYol=Viaovbn}kk}$MdxMV?i!!F}29k!r)KTerxZlYqa#4J;9%!!=E^R zur`Wy7&@j_@cBYwMnU@S$nuq|xDG=->e)48mL{3;Cp^mX%TP*hJQPgl^NyXitzDTr zt!h*|=@}Q~4Rr@|lXq<5BOX&OIYJ`GNeSCYeVM+gnagIFvYD3#|e&lf{K8cl4z9% zJv>aS>`xRTSl=(0^faY7hqt2U2T}4zv2Nb#{HuoH3@?84@p)jSc5HO>F6V0Pvv8Hq zZy}$zXoebH`9fd+DM)h&&^Iq6vJ1om@py3a0NDue`1dOvr3fp#^qJma*92U&(F{K=RMY2XRXy#JJ!d{)_jTvcl| zjOK`-oM=mCubdi>qs*AFsYP>EMOhfrnV;vuLvVmr^hR*ghNTU#toX+y+>P0ihwX7c zQ0Y`XK9C9{Gm-uHEvn8fI!&|MqR=6o=d<+a?N0#UI_nSct+f)YxBebEX}smqceOo+ zdr@|31QFER-)cORwHunsllK@TX9$4FvW@}Ie?jc>v@5IJpjJvwycTjAxTGB2t+tft zBwwB==j`etId6`&97i{Vx3fG^Q}M|z1D*AywNYM%Q%|%aJNSf5LR_(D(_!~A20k6E zN~;5k*lefWlK@4{a8rgcN{uFM%3fY0fEn@0O)y~iPZ^1C)4nNNY?q4P$_yg$>AT`; zk=25ceZeoj2Z7a3PMkU45=YbXU%iLZ0 zv#avZDdS9C^BG%=x5|==#_LGnEb;aIaJpDQbcrtFT`-uKW)&TMgJWDH@qRtr?oxnI ztmh_Ff=pbZae_cXNtJ$2aC>-lm@S%s4@2s43yelfuWAnI-z65KX~m$(r!c?2y_k3T zpPnhrUXi|b5Fj}_RL}n;5}7JE1qL0Yx_vlGKBZ0;b=^plv(7@|BA z=?z8S0ti(?pUsmL=9vqhPi2VTXLT}*iy(;e6D5XyrTtZbw$rEYPC=hX4#p@%&#sm-0ke+1sA71?}uNp zIrjraG+dL+P!Ugc?fChA+ZW=c_bM6K*;-wE^4t zP zDD+~G1JOh*U_c`&ekHL3Qh07I+u=GoNJahl*{S-(KardNUNLj_-tafvny7<~%#XUl zz<3~1#rUK&MZ%Q8^{xfV*TpdxXK^#T#v*4NO6NOj9)e=OPkmq#TepvUrwsJI!;bmD z&`5v9ue3{k({~OwB%sKA7!@yycU^IDY!ioHB2+oGDTxwiwx`zwP^jPcMP)p~F?JA2 z9kgq4jE|{I?t1>(S1Q!W5)uMvpJnp(28EKbIx)pot}W5cO4^?|pB|2WVuj8YQjAQ+ zoT9Y%TWU;36sbd>B?R|Xk5O2EXJD=aa;^prG)!2BE{&z2al4V7Ur-zr?_zf633K`g z%Bi~H32|E#q#HJ^A+@YAT%yvRu4XI`O}^c+0!bTh6vm>wgynaJ{axiagoM+c7;e4` zql(6f07V6u@xubiLb+m$Q$)xQ+HCviYr$r?+*R4{3@>En`MOe%>`stf(MS0<7vZ>a zy1Y|P2Rohx0&J>mBJH|GqzW)qqiE}lDNkHjXed*W97*C=b{2iQ2vTtTTCJ-NY*!!H z?IWYi3ii*PnaZWSrXuPGFQoH1^2)K zgJ=Odi+m;Wqdl&n!}6$`KHQ7KTksfVcM>$jS>JIJ3GPQbG$hM1M^~TjPLR ze=M$f%O!s>4~uPmyA5S&oIl492x8P|AL!Ko#pRvzQGb=Sh%`@D&E z)_)BFB>LyxbaW`VpXM76R^Lh58>knAN_aPy)CB6RBUgokpH+DdDsoz~XSY$qvt_^?I7C zeFeLyE<46br%T4Qiq2Gl74c&SfNt3^&es6;?*$4ME8ZjlHbGQOY zTxj~&Bn@z@I&QpTcO=(Xs@#w$VSy|sz zx{ZCSg%}WXXwy+*-C_?fQY-nf{L_g9gXEJC+ZL224mILFJwaxorS`p8P+550C@W@W z$*~3=vz{v|nVT(UvipW5q%V0Zr=|fO++1)7&RmoJh;S+N-RVU$Ucvb}BU$V07Tdl1W{T)3x;vk`IyOtz(91dYD`S)ZuhWhibK>XdPOQqAqH8|Yy&}`;3diwFd9*}oU3B@}%Zh;xJ`wp(uh}_=#7pM`&3@$Byu*<#!enPZ2 zUnfOXVW#BKURT*5zyV;Hbj!li^r&M;P2hG^G$>#h(Hc7QymSMLY-smx!6&gOPlKiQ z+SU=zH;;MNAFyAuu5u2TtlRKGSW`rh1~;N5!1mpWdhl|ZZLVLy1MR*+l8-{A64A+P z-;Yt)S_6q)ZMiN^(0N4D*3owfosQSv_7u-3oGT&P{lO|{srCi?y=7w zUX%-7>N~oR*r+@>K$~j>^#JDOwRfl+W;q1BpGl)%o!&jVA^+*ff>E8yv4i=#%Pcp_ zGd#Z+sm`4�_yj0+Ws#Eg`grNbK!8ULYmqw=1Jzo;!5gs+NJ3t&a5iPh8Ez(K&e8 zB(pxv(x8a_KB}CsklztpP)oVsxI&!amUL7Y((k#WPiF2w!yVd_ap-pYNsNDxdG$|v zOb?-83_cvq!ZM)|&{ekLmXR0u+(k(oYeZoBJMsb0@nW2Ah znj72Nq^Mq#t@_(H$PSs+M!7vlbn1L+j@k;T1M)s9%)d4aXJ+r4MR6XQ#PqMVi%P`2 zCPWF4az~%>VUhfyYSsOEHf^U1=`*Xar*Z_rcfObW(=dNsIBGF9A5KfKG|!UQUT&i41-+skwZqpyOlN%WQV zzneAt<7ix7GEp&rUA$1nMhR0%83lZ=>2r|76x2ELcmck8l7Z^)P0$L!ZqoXY`j2Mi&15>tAo-LEDhiBbKFI zaM_tY!wlKiLK+00X`AJz{VrQNZ6Vq2BmSd)$TE&WJ20i;ghL-ttOf(3v4e{BI$+FtTh@4lvl%;}0EHob6N$R8Y>~9~>Rb z?gVFw?xSe$Q!4c$E1U_}UWkKGJ%v7THv;JcKYgI-RTN!*a(zj@2N<(v%f2}VN%Oe) zBQ634&wH%Bdy`qK-x#3AaA{EekGDM~pXFn*xj$M6z$TT;xnPMTjIm!!P0y#G?-Zt# zg__9-8uarM__ke+F9c${ICpd6HOe2WDu<$Xd-}Wa-b|z&=`L2QKc`(2ONhnt59y4_ zv8u0&_>b*1owWa$XflMJqxcR9bQ|MvYgGU$(S}u2GbdEWa0Si5_2Zu%#_xxZr@CrPd*SRu!DFi!QA?%*;w{Y{Yzd_j0)-@%`vk8MTZwhKP z-w|3q_seg~@cR7yT(>kMAl0^;cP44YLlVO*mgIA6*n55{7tNil1z-*g#sMYG*i}}n zR%zSk#8mS6HMMVx5I)B1kD`v$z&-d0muMevE|3*Dg|693e07+D@WHpvQd!~j-DAYRVS?Qj^?UArMcAW=wjK=vYgOw8+! zsm)nkpm%$n;EE=UfS|#0|TNnBZE&= z->(mZTEc5)S`jy``eQ#z^;ZmK8%i};F$e#pquS^B=%Pnn0T)D^R!L+d>2cMIO@Y-t zTRJ}@`SC0f?bx+j$*iJUh>ONIJWqs9Q9S8lr_7Z*SYkdr4ZdpLzqp;= zUD79eM#?j`*Y_yRm2l!ui-K-v5(fBlPgWCx+`)pU;dL~U8ChY`AN=u)c9t=gkUgWAIkhN2@tytIGm z!jupBB}x5P9m~{EY|$iwq$7VzG$(=?X0WOIP4z{=WqU79vhoHje+LD{!$hvHyS86*?eQQ?^k4#JVQZ zh;;#9@VS;~T=aTCL4yegBY86}mb}Fi;g`J8=m}OXqL)aa3JD69`Ys%Gp5=Z0+W75F zYD>Mcvd-L@Tq55#_Qb*#}}r!~&v%0*dAZiRM2%gM_+&iut{X zbo2pJY~`72;(j#LALmUOqidMfmvT0!^1c^5wG~x5BCWLwK%m34<`uBL@<7KB(=*Y1E{u>%wcBrFJca}uXV z(t(U)0K@)wY60UvP(HHdy(w(e=1vu{C(#a0HFW`EtAq`hn8QDYa1-l#>Jl;PcRv0S z3!!O7+13X>I0OkN-FXPeRY1OkfGE7Y9eykCoOKMv+`hX*2ZL#k_?8~t9Zs7=Lhw5T zR#*Ez3JJdd9mE@u3}ou>h>T=H0`dm|@(IEF@V7JEKY{_+eZvJj@D2d`|JuF3!4N`$t&0dr2I8*+!;Jk#;Dd({2h=M4c!YR^PJbvp zf`YsU^a7q{P)eD6!0=9=629&*o-!}6u>VrK{78KWh#I4NHh#ckqZKd2#Vv|APyY_-2h)CGe8Fn z9H41vI37?K955fi1FAH1)Z7ft)je#xgZ~@!A?815{|jEAd9!URv>(t2@&W!k@GBBi z1w{x2C$=(l5C9VR%lyp)rbfk&_EC>}NGOXI<|VR|M1>Tsyt&uWffa}dB0{tc7@=nX zK>lzv0!3qmTZ6wxjRhzb2x3xg5C7!%h64FIHVofIjQ*m54xB|#A{r%hu`1DsRK7XD zR!P<|A-)Bm0tZzncW!L{=EeOs6zlTs&l|YBL;hso2ol)aQ$6mP#3WDdUG2RwVO_&R z95Bw13Zfjy!yo8nxH-4z^KLmbuC4kMp~^)Rg(lU&&i&xAJ2nx{@g}u521v2z6*g-k zGxOakOnsa<4{a4Oa+tE~l>$YTv9(YKOsjBy{iPa7r_IQ>PNiQFaQlU^*PY-1i{ zvyfrV>-VPFWb9CRs(kMn^Ba@>2HFRq;-fT@Ef*V|IC;Y>5MVVk)t89R)K2`j=fXPo z%%sSk(<2@L5!au17hMXtZMGuFXMa5yzS=%0gd0pDc?r@^%0M<nk$e>x5 z{_(U^)iPT(OOq*Je{%T&Uuo4!Vfw!Pq5`6gin~{v?AjM>=TG!>} z@%vv1z7(4z^?t`ly)OnJi0*W8`SUd4)@>#dnJ~3!x#BHJ7?~8)z0@oVO5Cd*80#$< zmi=E%yjrxA!fcYGpp{9SXaTPH#{dr?F^yuU^@FM;}uI@B*E&rH>PMi@WWls1>< z6xTtI^rd2n5Y%0Hqz&OhTzj`R7gG~Jb&^8MPgpA*^ulE#lf7 z*EEW%-(}Zlk`gpsBmN)8&Y?ROEnKtFPO@X$wr$(CZQHhO+jg>J+cv-0uG6_Ss&O0D ze1E_it1;)84|QUW{p7gWEf(M0^W)yvi!A$qnuB&HPFUiqGu3IVrfjq_Pq2&{V;c3X ze<$I>c!y03m#c8aJfj$%S%}57#yw#CH-~0vFXKaih_zkM>Z_N<{q4?7Q#JmN^2%#k z3*d9fD_kSb3(7K@G^4XCD(-Drq`7Hz`<*!DsB?H{_LbrYK+u58xgw2A{WLjBQ(tP+ zq~yJ#h^lYyHXmw`@j53Gma&j9_hB5yRTYcC{~Q_Be#0XFx37n__L_?4_!F>^&S0sx z{^OijC>t!=t?)u1O-e&_l6PDMr`@v|eVsu8^)=M3&R}w}?%uTUv^FBCS!*NOdazM9i^~T3z8i+qgp{6e zAwiVvT8VoAw9^f(Zh0?JMKdbr8Og-Q=~!r$K;mePFUr|dc8?>f-b z1j_j>h3&bde>mOmCTdvshV{1Y#@P<<_Lv9z%1pVZa%=Lr>IE*-c3kOJy z;hAB*xjYVPOt)=5E)_f#oz(dX7=7nD9ZiAEWp5LFJ?$2y3=%^_@O5u4KboaI$h81q z_juELq%e%1AI_l&tv7BEBU5)m`8-U&DIunF5U+6^Ajr|s7~smOS%UYsSZNGNtl{uz zZ+dx4%6J6m`9?aG0nNl|E+|W0{A^N%ju6SR0+e3#ssdX+B8aW@`(9&d zrTdt%K+O(*t{0-*F~UMUBKqqesd2m7hUYUbel56Du{GmsMq{mfdgXf8$=Xvlch_P= zo|ok-bkMVkF+)7Mq`c>Qa?*(_G3ZnSaEdxk{wkDpR0b9+ znE8E-WG9qW0TW|d-1d4e^p$fP4GI7Bk}kfq%khD4I1+-+h|v+}Gp$zUr}R21U=+)7 z$#QA=tR(u1Z=+W`ZxKitvPRe=V6G>!q+kZBh83LgOe4hOx@G4m`>I7aRI&1?@RL8f zQ33Wxjz;~wCrlw~vhClb7z(mLm6tgdS%(l{IxQ9s0*Pn4c6?ld);NrZQx*Fi?B{e|6cc!igf3bg>=`v<+&w$B(f8H)>g1=(|voQC6XkP5-xQsl&q_3oyu7~*}qb6=7ra3Ikzc4AbQ{)Eosg`aA=s* z+LAAe=XGz>~Scwjmi5y&GSY%#RdrY^6!JVOSuS>&!na z(u?mqQV}}iJ^^@&#rbA}!26ndKi(PT46ajI46GSOjg4d_Y7H(<=A{<3cyIN*xF>d> z=y|mT`Hs<_P=_V*EECxmPJAkfCDuAE`Rq!V!E>^s;pxCBl_NxW&tN z;-tN{_~h_c1L5T!+0AkkLuPsDSw_U)l( zM<&r|E0k_rqnsZ&`N%seLv{hd|GsBq>$&c zcBejT*702FeZC=wO&&WMhF{gIm4jwI8fFkdBbW09UOgA6*ga6qcbdC`M~%p_bu(Px zb*H9dmj9SPvwTb}sP6nR-~MjiCAf_qn{NNpazOf-+yfkXjqJWx(w4U8&%aUp#YT;) zqMo0NLM8g#1V8BUI}18{ew*gG6rkWn}1y5fh zi=p3L64)O%AvZt~8DpPm7K5VVM*ldx%ej{?J(%>=Ilb~g&>}msK~H&$cSwuNCnRpg znhGQK4-89UGv`EwmYDO#S`P`L^&H)|i&a)Xh00ZjZA7gq^|9l^0+(7j3(~jZ>zbN;s?7UNSrFN>RY*URbY#eYvUaN6z3X~EKrW;3v}w`bLIX#3UM5?@(cphm zo+87j#&kDLZ4&9l8=aD#IcVWKmI$8deRDMp08HCZx+q8odcp*?p#D^lUZ@PP$ffgQ z@_$oixaS>w0F`Nf@`%1FtFe^rcya#8zq-ghT{?3CrG3l{vT=a$3rZ=;jdtZb7)q@~ za40+-$IlPRX8F=Q?@0 zm9)5-#O3I@EvlDBF8U09{%sS8$~`i=5UQK)>8T+M3mQ>sNG8j*@QbsDj}BI176`Em zB)6(3(H9#08u21qFVD1Qcfm>AxabzhNC_`u|M9w%iPxR zTl)}XvqTjC#_|4)&q+G%&dS1ln~6OLkq_h5)V3OkxkGQEx63**A`l|-@A z%|&)a=lYQEcz@hmL&4&crdaewq!~%VT}G zkYh>^?c`qxwid{20@0RoNO)F-fgZwy-%{k+hu^Jc!beo2e%&dcs$g13NGJ3(^5j)~ zbQ$TmBo7`bKgq->(?-G|bc$bMG@6c?P^Qc~}m(_`k2E0h?2V`bN!+u zlwD7qXcON9H17n07=AQ3L^3`)hHaD@tFuZ{TB};Wud4_>){?~qex@$79^++W0}or~ zA0tJCDng$Z;IzRof>(m*D~ywni8yVgpRTZz9h{xvdgy4fRW~%SLwYn$@lR zbG)fxh85^wZGz}+Z3t)T?-Zf#6Z@!&d@FjgMUhT~hq3-}KhNkA^KB=8YUF&9i`U!V z*DzWa^9Ja*B%8$ZRFMJD!=rMvEJ4o#&lmCN{SdFr$8yAM6EjUAm`g>t#0*s7?vZa) z?qQRr#!m2+$^cHbEoZVcLsx%n-RFRK(Ry}y9u#6H<)TOsInCgDh>>B>`m-r6cYp=Y ziJ*?4RId&bSn*(~VhzJRbFv%m1!cz&W?t39EODlv$)yodTVLS|m_^38q`<$Co@3+G zwhEVs=6m?Fq@pOhC&y&1wuUhJr_z+pVU+KrFjH7)EovhyNbhpg*FQvpNfMSpHQ_BR z`b*`BHe{ABD2F;yMbBee+Up&fFO5ci!fE7Li>q{O={LG^9 z18lPV{hs@w4y4>$Q%2KDSj!X0s%e4>vT$4%2+{UAJtmVE&Jv076VbUCT8r;U{$zyq zrP&3#i9~O`>B>KK2F4i>J;=eGuClHf7Qbx+TG-e=#*c8nf@F`?tl9HGc#crIegBed zXT%&F`lgNc#?OCbbRTiSljh>IG13@I-Nt%7*1U5+RaZYjl9tl#m%=+4B>9LhKB%vz z$(^r?D^{TFsai~ny6`i9rV==}+o;;Sk zQDSkTAq^GHqgu05!f6CKs3y=XwpVtMf6Q-MZ+62;sos+&FH5qu6Qeck;c=&K+Oi{M z6nRCR5A<@~md_a3y3++h7z@QlR<+z2$yEEEccrbl>le_}-YK%)m9#x%&8fGo2fV1X zBKgAA9ThYt9Iir`i<)rz9$%J3mny4vX;dzaxX$( z8_QFEDxJ2h;LxZI36$T`l%k%tAb-*RV#^#7g3RU9q{F9K!%o8sKCY*U7aBZal#OAA zvB)`EtF9mLF^);d-*$@Qy>v;Y;Fapa$WW%z13KJ3T8L@T4O@5dH$-~m*hFQp zP$axiS1?-~D?W(`IRS7@dT9wt#WnYSkKY9Y!5Re*ue{*YMx26kRy~QZ*En;TT3u*? z+<9Pcef({(n`-_skMzC-?cN@F&SN}dYvxRzahS+3HF}PD$g>S=$)7eud`~K?^omeZ zV;Wtr99GgF;!4+X@qqHeEw`a({Eq%#B@Bf`4B+=teCdzztw^;249#9-uDC`MYN9>d z(u0R}bfY>KZ<}lFg6DqG-{BNYmw%`CrqlUBie933<&-8q-P4nS6PJoBb%UGQ{y51_2 zA|#8KfjJcra%g=gSh|(Y^vv9bh5e+p_H^H=uMT7M(k%gJH=T0$ZuNZ@7dVNMvip(y z5;0;;*j-4I15)MJ)_EfOn7@0Sn>__8n_~yNVAy}B6QnG6#SOG*mJvj*CpasEJ%y1MK31~szD_;&93=2IEu)(0{vAJogSqU& z>v*zZLG!?XwU^Y~gLtuLg|J<#dNhy-?b@+7U^?%Qr2Bp;y+Nv_KCF?0?Gx*veB>PE zrk1Z}RAtkgbQ>3i?HtP6?LQ`}&rIHCzwAw-(g_g^WKKs_9^7j6Q%1FFueLrj&=VJ| zcMzlig-NIh2H)r_wu%ztNz#$KV4*I09fV%+YR5fmrRDu?DD!)>=IK=gLt>~*p=M8F zEj6WuD(;uMhD~H>M~-VOO-ma2PnSwt$z#3f!N_?w)JPyyrzH{D31FyU8N7#gY~I_k zWlHAhEYpuWK%J1~hZ|eB9cPK>h(G~3yuU#Jt-u0=@)xp9@eLcrF*`SpJ8kMvV2EeC z2SuuRK3$($bVo(Ny1IBEOkmGrsxs&+y&Vi`qD{xhE%UVHeoE$AzGaJKxO5|Dc;21` zFR$<4gvL}o7g@WD3E%3-G#OfWPISMmvPmFnEER&6ZH`O@76m=i40T$Er}h+iCdjpP z*W9t5ZS+G@1?=A?cW_+PNc9f241YR>u|RKg6hwa<$qvra%28bE_HGC-W=kFdGWezAd^4;q z{&h;;0U0^V1W_};KMU44j)r&+qAS%;iu*6FIVx}9+_MFQ!BWlv!{{N=slrW!GM|6> z6blThc~Nf{YlJ8Cb{*%>!b#=DGL)(x>Lx)7H4Vg3AM7%t4fR?QuCipz1Rv!pi&IUw zY+p1EH-F>?x!H$1>-9Bx>K2~z<*`U9L9`eS(#SA5MV!oBq-Xh!E?WS~$gB86Xn8&R ze73$-q%QI#y899Db+O)uKd7A@c0 z6z=9Dne30(!=M;AL>icW%6dxQFw>X=W_oV6r$*+bUUtbG@H~Szla*O5y;t+(o-e(d zNzXQiI!%{T9eU0&1+W2x;k`h<2W86T#fJf`oiwsL;dqWB-R)`<$Wp^LVE0s3Wv%K} z?5rUE^`#C!9_s3##=S~v=e2?0zLqb@*+h>~W{ifoJ!L16Zbjxx>i<2s&Sy%sdFg!8 zNU?V*DJoP!6ume91ZN23E@WmcRC~1&zwDts6pOfc*6D~ktAzO5$gnuSB6f*U5&7aJ z=1P@>Yj8Ce^poKk@yJnzq?OA9iJe&>CK*B_Oe9I=J(}I;nYgO=%-U|nxvNN=MiI+x zGGBXhN#tIBo+uBBC|qew9)uiGKu7uRQ>_Q{FwRM@+HY%N?pd1jX`Y zv+qb&^1t~R^;^lqveydxfVIDbTyhpvuN~j<%9hYT~s{v6+dn_s)J$FAI{^`xaB`hVVg`gQFU5C@($L+}@vN6TLX zmXYPC+tds`EA9vqO>@)b7&*G#Uq8}Hc41pfBMKhhD~HypOtQu@ZBSLpFN3$8neV6H z*v9U?DET7TSE;5w9Y!tFw$Xu&M>uZ8ncoZgF#-e+6RO>nB1w5p;-ZeK4 zRv$@92-QlE-i|Wp;bxD|{T6e{=he+LM4x;+Zr0`E1{zU`M`!fS#Y(v9*45bBcbcZn>=&S{7{O_mThDgRfwxj z{gk7u$fmSFB8z`?Wloc0^>$*k?rZ9XV3(Y*A&k_}hut7|nQf-mL{!LvrfKD>qclv{kS^tl;fq)QEZ@-4K~Q1oNtP{$^`Ja7*_y!i8LXz|46! z@ea|t`$l5dB7tXX`O~!N|>U`0&5Yht|-%~wE5=bEuT-JWan0sk=<1_ti;(|{=aZN#@-ASvX&@E;SpyGL0Qy5|%7>42gFKWJ0Kc-I?2D+#k2QHo+@5eP3YvVF z^oNlKrJ5hx*pN~H?jPbTbZKrtn;BE`5AMVyB6=v}8bM!(B3e2+=41 zF>X4-GB_bi9k%`ivr%?Ea7^DjV?LbKKP5z8DEq%Ax;7180lpGhNk032q|ZYU1Ec4t z?D0!O6#uKCo@z?DOgowJOA^m^C~7T5xxIktK7ciN$EnU4JuiQrC5w0uLHZRk{Ns~N zcULwskY-9UN&HbLEy4*nqST=Wa{d3$_ zZwymB%7*Gui>E8xFlexHs@Spg2JSWO;<~hbs>k=4g%9!MaLWfJ=d=y>LquaFxob%Q zh6F|90`f!PrK$4z5QwB4DA?#jOrzAj_-JqD-*0A7Q_MdMF=ivs5%FJ)pcD6KM}@EJ z5JbQY>Id==n!6BNI4uHNxzn9LP^?O@(Elc8vHWjh77HuO|EO61Em*LzGXKx@|8`{9 z*;qLKzr`%qKPoBOTWq=@i@3ocNP`S5B`)lXtOG#8(*q1H>`EYuluF>RL6AW%>_Gu8 z?!^TI?3bLk@3a4DS>L}|t$Cg=uKMoRzB`|W#tW-QiH)J!!YBs}B=8aG@-PJDh2}IM z`$x$8Cr3x*2F6R_M7f0i|G;d(5kk08;E+G{!8pOdVnhrd3`nBNfy04ScyoXWfPo}5 zU`U8Y#~}94j=Z1P5#ta*$Aftb+kjy80;q7n9mx%ngS$Tn3SQtORI>W@fpOS!faZ(E ziQxUaK}~cBAS+-oz~_O8aS7-uV%QAK1Ms%Np#(p^sKLTRK#?w}z`?vcJ@12bw>=La zy(wqIf#@j~f&Uw@2q)knYzxqb1!eh1m%yKUkJJGCgj;aq@4(xEy9gZ<0HhGWybKQF zEbi$sU_%HAM8zo}FN#}m0u}g8Sp7@L1NPO*{@*&pIsd`W!w)JX)aNx!TVr5%N01?( zLI&>u+$9XK1!dJEQEwtVutCN(J<<9GZrlTecTnN1fi=p3`-wq7Q4AbVjMZKJ%eF0o zf_e#eJ@@jvdh~$4p+a{JP;+W7Q9(hlUxOC}5`l=@#D<0f3ZO&q0FNyWApg*{SI5vVwjjTM z6>uP5ItO(?+$zWkKoz)P&*J-Ma4#W136Ss-0ein}U*4iXAiy?-Y!U&i!+21{Z{%E1 zVe8+T#c=q*&)^vkg)I;uci$i1XEQjY^x7QL8)x_*w~v3UFf6VrEgXI?-uT%xH9P)u zvLHyn_B~0!Kmy(r;Sm-6{!_AsEP@ODQ~$lj*F#Oi!FfEDYb~>V>o%V0gY3Uqb8rCv z#+CjRuSEOr5jMUm73-u5Y*%Q$Ir2>i+Bm! zxDrNWi}NFK3jcGwR>3K3h+x~n{j|0d^l*6eNsn#SXOpAw8qO`1-Y<)={Px9N4>ApI z_h~)*78(L<00sgO9tclD?oU7%fDgfv(2jVuCj|}YVc4E(%Qm zEYW}AEIT%*jP97!+Duu3FShpg#NlK=l%H|E@d0dC(~z4I%5vgGl+U$Nc@HViyLoJz z!x=UPF96~qi}`g)cw`q0yRA$kOul#94wvR365Ru4BVr4#(Vt}##kv8|1;;@lq_KFI z^vP>Y(TLX5gIzHIb~a*30^tlZkMn9C%+Aq>P%@un+qmN1Crwt_aX^0l?aalE6gr1z z<*Fj34xXf(^g;Dx5_`h7uykfh@#cQqC>^y6;VT#GJ)Ui&G|4AOne+@vL|`CmVRG8s zABD+%4g%0vF?lhI9aY>)Yb!kLWAocogZGQ8;Kv|Yr-%;B!u+Z~qd>1w0#lqeZN5^U z$y#h$arsm$we)i3UT_e%L9v?7#!p^x7T_;ioW~F7F-ALaDUqzLbw+7yTTIBh*(8NS zr_)@hLJ!7d&0fxztRX*KgO3RvMRRcF*k(>GbK~O{$2Xk#*tRm}l(@HcMd30NUZ4`n z4w!DR&5hLf1(Y^fbk-Vrl-4;S@Gg-3r)`A#ZF#OU+ANKA>KLT9u#+QvI1K^*s5;eK zcsKrn809LZ?ZdAtfKiaQXO}0D#JrnQFF6972yDt(dHY8}Dy2dx!o@DWeq`-@5ccTo%&burv)ivB$wB#_Q!xS`bE=>lu&yb(KZboCL57pA?O(j8u2Q;>IrRh!5_ zWp@5@FiKa=R6l`_oVjzRep>bCcLyq8FqiNfwnfVyF_V*|arBKP_v5*V+cX2Sb`9j0uHaS=-UQwhpV{I-Vvw7jxOp%8G>t zUz*Qp{7KDj<%PcYh=Y;gv}hk7;)ND+OJI4Pc>uMyI(KHL-o+ z3k!fk(=B%!9j~itkD5?3UjxR6$ zV=Vb^nKykdy&p*ru7J0&0+!rIRxt@5@t?1CGktdlI5NQH9qCla>g?L92$xuG{tw&; z%r&ZY%e`qY6%NLc+akZjVwMv|Bx*Zjh`ZB(H&he1-S-P&4h6ers!*EC;8o!Mr#s=| z8VT?N`GCv|!Qh=9vSjd6%W_g`A$v6uER-M;0>A$fJb}a*YJoechP8~jY2k71M)tWx z&RHmC>!eUnZgY_K_Hlqme^q6si+TlD0Y^eQ<73T!x3gy24K8bTQdO}Gtzeu_QQkE< zzD@%&Hor4s^nPb0F!$bY^d9HnB=L#FVPOOcDuOV2S^`j*yIC7H^O>%mKT37sXw^3$c^!Y1oSf&My%aYlpuTI}}+lDeRTi0_0W>6F)3Xy`AM z%BG!7Hf?Ar4ol;U@50-^L?1*{XQbMvV<^YodG2>Vk5>zln|N(^ICJ3Ki~?4jTX14- z#C1TD(mCW~0`&+25e`@uGeIR{ZlvRc?$>a)0T#i%t?F@>MH{6aUbwWcAjy2eI4^&{ zB$UE;Q58L39TR~^A%FPCVf5Edx$oyYdiMIb{ZqR&A+NpL*&R_Ew>HG9Mp+ErUuvF& zbu+0QOZR`qXFL)LwuG3Ak3~o(h!}NSTlCs^9|L!8l=W^H)($0XL`*vcj^eDgJJ*I9 zgUL?Gad)0eHY;=ZuFDqpM-Ls#OQO{3L{{WbmiUh&>ZQ+0KOLF5&128EwMsQ@i~4%* zTr#BoX`}gx+<7}JxO=#+Dt`Q7o(Yug_FG$BQ&iI&$BaK)eLNW3^!83cRo<{)Gmqhj zER9@)k*w|MHBeE}w2_|zbf)hRX>EgjpF28kJe8l=npnYNgC|hIG$oRg=0YA@fF`!> zJx|PS!EhY>q>HLzSA0aP?4Ct!l}PO5$iCo}5*g2N%#*W62b)^5=u_%@x9{SZs4|l< zK%{#8Si4?`nGJ5CED6}voN{7%_n9%TQ$RQ4F&{h7p8h*qQExa z&Y4k;(LsMEx=(ajdZ%A~%(k}tQHhAKj2$lS|1Cgu=5eABqEH4KRPT z7EK6K)#{SFM8$Q2XQ!e=KJED$+DA1v+f1UV@uLx8uI+#Tbw)d=|FY!g%2Pfy(M12k zq-o}<^eNXyxtWs!yL8C2mQO2n^EBu@5SM-hy(5R=FU0$imF1b50UR{M@0 zLlh54PsjdB{d=!O3|S1b1ON^$Eej4De@O^&y8>!OAS6Xod9jc)SR|FwB!^fFZhI)7ZNYnKtMd=5W0a1Mp^2)LYVKY!h{n#ch~@fS*{$K%q&%N! zYkC<>9ywN>)Im!g8d4r9rfU%vGuwLwdnX|1TV2x-CZqJ8?2gp{+iq)(MT(uRF>_@W z?4~;j$xt&hbx^aydK;&eFwI)r;^8rpk9xxe*K!@Zkgp)wOTYxMXr>T&aDcTMi~_s< zOBWIw7xGEwNZo|V=1^;wQocyM{mcZnJY5v|3CcyKv&pEl!&?YV zAQpK=e9~yJiX6ufS8JJL=KH+o9Wv}2HkVt<6~v}g(Q4@vcMJ{dDdQRD%0T|SSUGO{ z3;9L+m-PtopU+!u?w#G&BvJKIs$QrW6)Qxde`yJpJbSrnp4Ask2o@U6SRactG2n&X z@rq>yhh{@L5mnOwa+|(Le4)ufzr}7*v|jDs6x(GOsy!E6A1rSkhs104K!cqK{!VQ^ z^lV}jBwAjER?%{+9Jpl4!IV+&QQG67IBoRym{J;;kAbM6{ZFPBsB`Mm<#A_0WmyqY z8dGyf1Vnhx_SVc?V+b^-&Ksp}nnqW&Jap^^!zD}T zhgwm{D;dqJmJ~pVajFQRtfkItvY@_udnnlW4g4n6KA1b2&zE|yXc5@$T|j4uthkdL zh)f?j^zdBvjXP&b6@?1ZN zyf3NvWNP}Za+YYMu-f}X*~ZLqF<~H`Ozi+>0b@kK+frI;A)30s*%>~Ze%IzGNRs;J zUu}m>(<8Q`ImZ;!JlohSvJF>JnXWox`?D}n$TQ zzGv}0W;A8TduZYbt7Pn?hHPV+wOZqRImjJ#k;H~>+YNoZ-Zury9;2aV!50%X++7cx zSE6{7DrylLwM6xGkTq`{qtpnS`r=9W&_u+oUV7i*YDJEcUmT`30p4lGA*a~Vnfsls z{erz+H2Gwtwr2D(LbuiZrbERs+o_1Pf=p!o)*yJ(0mZXLI;H(|j$!$L4-d651Cf7LMVDKtYK*JA zJ!jvnn{&S{YxJW&r#FNlw3y(*`gHS`k2s@XQ2-vqzqco-e6-g?q52wAKg1|Jzc?u< zw9pBForn-e^cf%$d!H#u1)7&7Rd<`-W`{DgQpU}Qi$*N6u(Uv8J!3I|iEni|OH$Mc z@iDP7PxbdmouOcarguewH`wRxO7~{>MHuzAqME*XE;+w#*wF%)uE~gOTm-8U>e3#| zyuWj7b_!wC0^oiS7UA-x!AZvMjsI^~s$ED2>s}DIuUbiLkETA+8N6iWj_Jr#KA_J5 zPW4Gv#ag=wDA;zkFIaYFC*e}d(DD8dg#f%KcN$8PQ4eX<9)K0j0CQ|&{kCMOu}+S^TBhur)<$8(r^6iKF%87-qSMP8&p4|_^Tyl;#Mw2n255|j1F22 zdG$UZByd3c%5K8V;BPLm1XTiv_^w}!@jm6uK!Io@>hbteZbD=fswYh)L*D0u&rdc7 ziH}`U`xby)o?okVah|boi5!hihEP7Kc8P~43ZA+4I7?J?Q-wbF7136_U>{0fYxm`)TBF*zv-&IB4VIicSGEjKqHEGlci{=wdSd~Z_~eD}>AHrzdl6g_P5h5&RSJ2Z}jepyeq$Ik;^go`lZP6tRq_~ zS?f^XsM^h>7Y!V&x+O5g=xKmcD^k_A~6G5oboLPdb_Ge=H`Qv1(9kdc#Zhz;ysX zxrXEnI&1MGg&obeJ=xz@KW$0hwtCe5;(MX%U(nGaRN$}Zi#hr_^%$kd0to8Hr2eR0 zO*;91R1bRNzV$N2TmCEh=T+mCJ;hTkAC<+u4(XOJq`Atci)s~)`Bsvxppal^+%2C- z?wxQ+=O6XAgRdv&fWTaY%&%aFGEpu%Ov}#q&(f;e$5=@E-a9}+9+&ZqeM`f!PRd7X z=&{so?y}RpHSlYW$t^~PdTodsX1hE<`Ed3Ul}nr!Pqwg0+Quc=O0+a>WjnsI)|e)u^8wi}ufzd6&!B?Hekexgnk@GC_9vVJRH621&+g;`JFEK0sr6<}C9ETk#*6 z({xj-Kp>s3VUl`jse3NH6IsOj!E-Fl`*teWPMVz~pad6Ii{xcPSl8BgYg5tnjUDF6 zBjjDC3EY&^Ha-m}xiX?Y4?K^|t zf2VPrrRpqPIp-mU3(^}!C}^IGUEI*D!R99)**l90>=p4pqC0_o$KL4*f7&pl*PuQd zfLq)qz@8{z#jyOxk!y-%d=mqH!?sAS#4NK& z&h5@z>&Yf4CAg*7gU&*_{MZdtY+YS+fwwLTB#M+xGS}?GxM<|O~l35MYmVal;%Pnz~WP{+|upq z0v1-n^a^c5&R#vUN>dVLGt8Bh{4`5;Kk35A(Pkgl_|kp^H?D!406c~y12(y?9&nyy zh?5U)Ov%05QjC{$e6-fZOO0rXf}eq_e+1D}cuXd_T*u+2vQG;`S4o@uW%rc#BDxXK zTakqndIGFZD?N_#HQheU03c5<=yc~k(mTtReQMMC+Q9@)KZ+lu?*~TEj{6fUjG2v> zXJ3-D0^1vf*}}Txw3do?$on>TXRicjr#o_n?92UE)e1K%n&ef5uX1(QkR*eD|h%+e=S@fraYD^_;CfEYH9ZLC%n|^G_^FONakcHzt=0Qr={K9n(Y?a zS%S5!zRaf1&tCrA!K+cLS7)>9X|pE&B8G3+d%=<2iqFQ5|G68vRf4S`ht+WXvvo^T z(@ncB*7QlI*}F4j?erWEG<#nFZ7Qe^CXv~rzTH6P88Cq5l3^h9I6G1bWYKC|n#~ar zR(2di=)yI;^xj1lp^aw~bq<=C1Kr_{s4M_dP9w+Q0ew1-R-rvgGw{!KjS2`K(_q@_ zA9=Rda~(}LJuH&1*U{)fBQfJUG4*wRY8*C0v_u^>!;0gP4)t^*wi1fxNF1dMR`=K- zi=0i}ZmIWZzDBIQHo!*Lgemm-xxyG}b*ZGB--{j*x%s3OD%&6!|05&Lmm%5nG zc4Zm|JB&e`Rc8XDFx&>SC!EK*OO7<|Yscw!wd-Dy@u681eRA&()W)5AN_3GNw?^cA z9r;W=V#f}_YZeN%Q*fId&|0t48+5zSYGq-k zKA(sdh0rA9b@0dfoO*`go`q&lqt$lm4 zdk|gj%W8R(c>}H&r^)zVdyiP8pWYmk&{OdT6@S5A>j;uUm+u;A$K0P|r2;)e%lmX} zHw8X+q(xWGe^^$X;fE>UZJ58w`2w#5scxsG)4B&EN50VHt%_2~GK_oC zcZO@}ANoMPOQ#6&S5YLZ@H3?_cbem6@K^K#>S8*)Wq24vP(VF~nK!Dh?E_sRN3+iF zZnDKb$&>mD!^($E?sU&{Rda%DD72Il{7uI%zhMdf;vjc}(R zgaAh3Y@U#ChcQGV5|nuWfti7sr6&MMm|a3bO2R!oh+v0SD!3$qpzy)4=Pc*->sM>9 z{YA^0f6iCmUH|pefRzDBA%wuD;J+Y;mVgEV1?W7h(lRPINPvK%Ab~1s0?AugUi^E4ekO{pkFSK4qH#4!NtX-ul{M^C^`j_X*3v!^PmMd zh4ib4w*R;?;vgEhsQ2&CpY|G1tZOP_lH-dD%Kt(je~A)a9(cZh+(V)b2vpa?e6-f5ExCSJYAqsAx zLVv-pzQFH5e^?+0Xehqu-TiC)xq|-rV+PyWBGT0vbg;wN!8ZhR3Il&waRph>v+x7K zgnxkr*G6fE8Zx?1!`7^8$ z9r{lJ3M~RS6jU^{q%eS7K?Qnka6|mS8D88%f0TZZ^w;)puc93Otm~!&KZkD!*7Fbd zQ8YlH1c-GBfBXI_-_Kz;HZTBzG>d}T6udBS-1qnDM;E&F->yB15B30|4OoBt1r6ZO z_s^}V!vq%`$nE`w{be;GbXBHJC<5NgPx>uYQ4;b1_9+DdF+y5%K}AIchtz+>+W(bj z2RB&HXZaaYLADDAlK7c@>5}y~2i%8)Z2P|iL)^*hdqr3u3IT8bo_3Nd;8=KnBmM9< zf2U9U#vk+de%15*-o`9%=jQrfbozt-;PbBkIR$)U|Cc|35&dBwK>6_2cP&K7=$`Vo zW?k67LRARa;{L7nWk|uAhK6DcD73}(Yd%iL@sj=V->e$6MNG)oCL*E(1|m*0us7Og zMHLwy0qz@Iy8;XJ`ZgjIkU)qN(9Z_a*;)7j;s#54JChI*1rnlQchC5C1?=_qsUiOo zhtzT-dG=EDmwDj+-hS5Ch6wc*v<*KpLvDHhi(~y~Ypxm}sHo=pcDbGhBkDC0cuiU4te8Sh+Kk%^Q-rgBUP(zBi>~--v!?o++Q=IBy7t`kc zG*V}Doy{#G12X!`{@vI8&I{=@Xghkdd^qmtoKD0(Ud;IjP<*ZORc_)y;c5ontVx+C zdsky3M6g9N#Z+M#Nwj|S$;yMpr*#NVNdHJiA6cHbAaQ*;M~znF!EgN4Yq1Ede{YhQ zes7sm%4~$JiVn>Em-7R6^Y?k4qr866EedU?#@_K?_bz8WS&A|Cg%2x%Ki^ET&!?r9 ze^t1w2^h=9HvMS=jTNeSwI6_zEtAJd0~cGh>-R+_-WaSXq0=RCBh_8dmQ_}Qs4#U; zSB(?KkajuG8s>u6R-S;`S^$)En{1G*w_orqrTy_N1;o?Ag*PA>8iddBewqnQOEV@t z;LWdDj$ZK9_|HUDj^$h^xo>4{IecDurqr|bXEzWcFr78`i|`!9QPBW0O}kyP0?h?> zKLIX1IfnoVbcNH=GFzaC6^bU6<5aEbV3iHuaT&h4u?zeBRAKm35qRnUY3wavGl{t^ z!47wr89U5hn3PCKpaBEgSLB!vo z*Kir+Ds9F(+0l(dali{ot)Qq{+oI^E2y#j=r1JY@^L$31{aq#<7hHcUopJEP-T$x{ zkHo{EesH)V(xTAdG@K^su2Y%xy+UFwSJbD7$$)l%y0|yn`ucK&4-71|u|U*Nk;s)^ zv;oNii4=_sa|H7su%Hgv&^6_3m=t&v13?n`3p==428s-kAfW*alZ>-tDH7_4BOu2034Ro{mQLBKEzUS~@(~nJ^+1a{hN)RH<_fIM#G& z%sjh(4fA9(F5Ga2car+jvDZl85W`(48c@scuo1?Ac#N*iGo^poC=W3~$6jx1*u&J9 z$24u8a8OH{bS0N?z{~K;ohT`o_R-Qpo2&{>6!Vy071eH8+1;#NUj9&U52vQNH;85| z;6XdOKs1@LN(s?c~kI@96T=ulK)y z@;_`ZX(C?WwoK*zdE%zB@>To2+cM`^)(jfE8>@=k1jUkwtn+z^FD%ox2<7;sId@$O zsC-d=)eU^y#DHx}nccO}{4O0*yx2CG(lU$e50riWN0HiN=kyFgW#)FBpTGSwsXcl< zd?o`O-*GpUUm)6ws4`EQK(5x^&cL+3pFR+uQ#N=scA&{n?T+z;mgxa?dxU9nmtEr z;jv|spEssAotp+c$_W!7Z3|XljWLNh(EBrR(OtQqCXB82JL3})tcS82Ya=bPQ2|2{ zK3;t=5H2NN@>t8AByE*?xM`fclghhMQ5m_7+3TfpMES?q)`EDW^lWKmVB8bUCO_ZA z2Ir@|x-$v0@s*jbW7=mg4kt8Wpk;kOvdBrPK4DaE?zB0A)v(-`)AYG^8j>WWikbeJ z={_aZfDD0&6%}I+J!Ub7wYGMtumDpawGB{$0=X?5yrM zbHX;KsjACy+OxDwYRmulILnL((I>YnGejR@dZeXA|9k278&&f>V=mO6+6rr0dv5!h zW91I~Krx3dAewF%Eya6PmstkE7?yov(m4a-#s0L%J5XLI9{LJv=~sEbv|EddTDGP& zOOqqG6qEVKP}RH%S4TPfgDlysRw(5Y-?=Oq7bgkS2Tya0wXQ|@YA@)Jncd7DVk@8| zTDSg|PJdOO7m(+X$h4cVo>crr-$g9atfNa@j;;B}r7(_Bt`KN-c|u)OEqn5X&4M~c zQAU9ZaEAW%5ME8u06@|9G6z7^Q~4tlHq@%=8j~1`()+&F;SjLudU@QGrAB z>l~aOo_$B*fStp+IMGf}fH9mb*O~ZWI~yw=L(7cyw*Y%xsMViGVLNw*t;O9OZ31rN z)1fgp(+k*0a`uWE`g&%=Jd)B{?fqYDa_+=)Vntv5RHM2AhA0EP$k9xgz}k`|F=h58 z^7S0@hx-j@bV*$t7Wz%-^|EP~T5hIyh5^Uql;z)X^uKs{N%b$HcQ?aXjXJ@ zmJN@_Xb{rp??5p4E2Nrei!+|{)LyS7)#D&GSv9mHx2Q_uOx|s z^957TJxXX8mw21lR{Y{Jp^iRAhjM(!S7>NsZ_q~%f-b%d!9dWY@oJB6KAII zDtnr+$rC+&Q~DT_e9ut9?5<+S`(eM(v(_nA%e#U-fgKBodZbd^jEn$zDSanR7 zS*37_l~KfA3gE*%Mb^>(01nK{DmRG(dBKD-V=l2FtBWES*YBkHt-?k+07t80r)&%q zQ$vz>ZfPmsQ&=@;0*c1pRxOD}4tBZHp=}U2%xFN9ccQ%(=6?qdO<9LjR|8$iEoxwm z`I52Gw=;(H6A)R!sbyE+x=yFJz56`hh%fI&^JU;g`EmEoPd)dnR558pP*1s$;Rn%# zv4!@q_NUl~uXQ|bFS#77nso*~9^eS)#k(mMJL(#YO5pn3%Kjv5*UIX4TJC0D01t)QopS$A6h&)nF$aU8 zytr)C?uD-V6i?41WqNDd-16wyyxP+NT z;fLr3BGM*2N_Y>LI)7>ec!>GXiCNZ7OfUg>@KM<{9cZ*r%L#`xRUObaQKU_AdtalC z%thXn4%hFXb8t0n(<*H1cX7oDUAIhGWp)|`PPF zM)=#q3*Cn4O~zkb>*(*mPcr;H!(kDHfg`Dw?1X9p1gJ z*-se{Kq!mB>@(2~m}tF3jfqk?)WtNq;0BzT>uqC)#TmyW-FnujsvCntwx6sdMftN4 zmULfw3MbCS+GY43S;)UJO*M=9n^&i`k@2+~iL4zvm?Mox0yT46edM&>L1yAfPDkP+ z7NC>;Wvy}toU|$$dQC?Q)_=lA+uq7^awu{K=y1)zgp_-IAhq1`W$Wqu5MJ#2;LI$B z#I1piLcs2Er`Y?0A~u`VdMQ>5lkSvkwuc^pPp;)P6?OA@N8jh#@?4p z63&!@Y4M?I@Kqn8_Q#I!S|Z6Z>Lslr_D zCbeWL>U?ce3)E>()J*VV@iwh8oPSn}HDoEMn~#eEVX}GM-%=4FmLoMw;T5tHoVvpAg^7v4 ze@Y@HH)NkLZufR`2w1qXk+}ZBtf|KBA}`Y3)Az?}_ifx`l>$0tSlu6$w9;dkMD6?X zoo+vi!uH$iR@8>P)6XF!W#la$I%89c)93dWlCpMgW{=gc>NQx#B2jfe+3>0zcfP{$ z2XoLZ5qx}iK;{7rPU!6Rdc*Od8Oz9dWxvKYUdvl?#fMV0Bm~awN&lW5I`ze8aw_aY z<^}#(X*P*fmVYRi#mk3k$N(|c%u8%Yf$@z?A>V9T|3$=|D9oEgC+@8_Og{|JfW#OU zh_ptI(X{PZ%12OM>z-ekps3=9UPz0$ZQz+Xn?`HvRXtL<>$G^2C~iR*N!yAuqRM zg>rA|7CFFhq}!+Dta)C@^m5v*Q=@T6;&?E-gRldN)e0(W7^thU^Aaak=AvSDADt_j zPGvQox^BB@Rp&~QgaC{+k{C&iiaW=CH9G9yUrYd?3r553b(+u7Kl5cK__a_|+=Leo zZd%3@y22sGrKoi!kp%4E5|D*&Q=beIOu%XWPCZ{?wbbo5cr)nhxf_FvcF7x_va$k{ z51e`SHed31s6lKu2q25n={{W!4E;P-p+FD|LisHb9|td|f3LS>%GAmP@XJxxZ9(*w zr(oy=bC4b*UR>d1QQ@3chMG45a|`&HW1U7FpPmBMsI!^rX<3%wOt7-O2t9S0{#(W0 zvqfm+r}mLw7u@U3zrdS6O&L%mR6&d7+!lzBL8L=4=;eYgC543@p)sc(v;i*B1O-Rd zkDU=QgQM|QgD%#?<($GzGcrOCT00}B`ljR})hyS$PNRq&*N*w>4Ce^RpBg4=(d_vHKt-Q}nGTthD(7@BFf@3F3i`?V3{?_|zr2@?B;66sAQ zv|9R#?2q`86=g!FN);|vQ_M%}#7r<<%@ngc<}++339k3J+ajDbU0qfsA>vq#cz5Q_ z*{#X2uC2k{$$IF1Iu-3rOJ)oYHD)p+ls%B6uU&PIuqyX zo%Omt>ubEBNxOMIRLj;Z9p_Op6Kqn{tNwdCTPxf(@;s3I81=Tf$KRK=!$VgI z(ynlJZRyxCCgB_MYcqJ9ZA2=?`Ic$6a7`>6h5lPLF#nK!E7?Ryca%a3k`qMh`5e7~ z)&m)tvRGGa-uY;`zWJ1gf!=;D#m^Tcl|DtH{P|nNl9QAmiLf+a0<}G_Q1g#GNr2ww zZ{;LC!h`ZG^kc@>h_PmKDO6!?ovq4e!EjGTad~sY;}>ME*mBn;lXQ_wqN{8J6z|T_ z9AjqEp9rN!Z@xF-5*O@V@YWS#b!1SDd_&eS@(2ddUO2=bS5BQioxny*wYxzQdfSZl zlI|V8pYic4^u-ys{N@7{bXpZ|lhl5`O%+3f7^wr9?Y|N_i%pNilRt5$sl^7~C(ZTU zDBPplItTztKD5hfFrHtMpz951Jf<@2yRMXe7!3WsqVq`T^R)WnO*fpbR*HgvetId_ z!AzC@KIImnXf={me+o_Dm+Q6y+{338zbI-^a{>k05vQA!fv)pk0PZ~o0y{8MFJ=%G zzl3UpA=;2%2JU7czIJZ>1x^US9-_qG)}3sJYGhY;N}3c^{mq@4neAD9?EEa>fupnf zx-6eRjYtDE!1)BJs>^&#sW>6NW72K3jLCLVP3Nm@&ttKjY${|BMh9B?)v9vDQ6}$$ z>;h%|q+OZlUl3+_K_?g%U#EJBc0t00UIbXmog_3hKq`0=S6$ZJZ!bHPsi~`r6)=phT1id{VEnzkB zI0}ji#3t$PwuX~W6i98#ZOaa)3}WsPH`>4)8ilQgHC`lA6z!s_PV)Rbps(*m;wN#I zI&;~nGrAY4gWQB&K>`sS(#o}Ez@q<>paN02%3Pr#;W0S)Gf*I35mK&)H!_A8hPA03 zdztvbHKf+ab_tYN7tm_L8&rUgx?hjenbdDj5UO+jBSjziIV`Y7*4JDPF^+TeOE^>L zX>^0$c5=yhetV903GmVuODw%j{zhqrw7f_;@O?19B+U?Aw=^L)9tXb{|I0R2-TQ!X zCI4_Zy-g6y+g0~rz&$)0QGcOkmlrO58g6P|I~%Z);IX;*_fKlgUe#o5On)>uW$N-8 zP26I7$=plz*0<~>nzKHMWy-q#Rmc$+Am+dGMp-C98Sf%C;Bn?^01&HS>oD5Rcw4zD<*C z$p)dxg&!vvh4pr;WudO@ibT(c-fmE5*+t{r5zQq@!(Mj zdHQ+aqv(VPDw^HcCLcpBXZ+9TQHms(j-f!{%=TZ?KmT-HI}{HJBtvL8lZ|fGjxg(& zv|K9D|9t{buQne)6p<9UR{8CBjd#hf8&Sy03(d-`SDeu66rNq0SzOC|nVjhL9ov*1_r^y5Gy&UfN&imGYkwlHSc-i8ci}dU|2Evl z!tq}VH<^f-n3);>%lhBLZOlxJO#j#6Hf3mzMC-6*A z$8Fc|&mB4MK36+cU42m&2BQ8S0-%Hb@U@hY*tHQBU9b@#3|PWwkb%Nh*4Jjev^N=q zWnEAQx7bJ{7r>vm1QG#ceA*~HP(d7i34Ra;@F10S*vo@(fgtu+k*DlLgUnzylKyZo zwXhHzf_Skpi_QM6zjz>{5Hdh^V*Kbe5qs0q(@$m=Kxo)TjbkP83^1XK18v5lOi*Bn zgiIiRhJ3^dtz;q$=rFTzQBwXCHM&)Z==5ZEaY3p&{Z*BZOJYh+DX z$X1&%y$b*jMM6g)z7-JIH((qk3IXK(m~V{ou{MwC}Wkjc&K_ftO+L$uHVm{(Xnext^gtO$}h>j|TYoxtT~ z1qLK5zY#Dkqqh;st>Zdlki$gLAHh<=D>U= z4?!gpVL{t{p|_v{M`FncFTPduJ;uLE?%HU-R8PJtLx~LPj{dg8`hB5N)L~b~LIh>` zLEL>pufo#PUeL$(Bh`Lky97zbx_C+0w;Aq3J2%7K?F#B;DI5h?qlaVpb# zn`sRuSGQXm1-^i{Te}!5OzfzN5QYfWoo9?-YDPn8i`~=5Qjh_Ql!W`sZ*(L7A5diH zOU0xJ!{nwI+r04Q7 z8H2DB!tq_8HF{$Zz@9vwPo^tIPk!zm7N%b3pBm*gZZQaqE;62Jd>ZX2ejRi^B{xO2 zqR_|aL;3Aq^rB0p-|~|jN%xj;_-*d;jxEJN*TvS zs|P7_E`ld%gE3ot?nRtqm9`8upGS+_qodXsxX;_$EdHSFBJy<(-(dGElB>(JaYm^4 zmge8|mu;nUh3T7PBId=1Zrd^fy{WsT1>~7Zmd-pHQ<}ybA*!G@kMSsZ1d0VP08~zo z+c<+Cg6ZFh6Dnq?_HU?67rMxdr@5C*-*I`b+meKfU$a^9^z2RQw6EDxWAx$~GZn<) zHZs6jD>21>cpEHq=LgF5r1f=Cvh-u6z)@Cp()d0(b?$CEpEq0=y8fgR^=TZMa8lnL z{!2Q}aeXhdbl0Wlt!IMwN9OVsXx3m8`G&$+{Tz_jss^sReR_CQ$8!k_ZT{)a(%);S z7}fz{9+hsx!Bv`F?ssLJZ<;1wUUX#SYmy(VmCIUFYc*! z4$1p`+|JB#C+i;*!J73n4kNb()_psfu&LUJ5K`4I3On3jrybf7|D+7hvUEMM{Nl;p z7FkjD>yKqO1&W=SeU_5sN_|p>5yUgvE*vqo8)h3HCRlb9W`NC2{%`KIG0Uq@5#?6h{;rDU_XGk*JoQ59!1*(8SI>T#ATC((6U z(`(!*ValQpVrtXuIBu`zgZ`-H!b-a-{3FKeeeEu}DYI7Y+nwq)HzT*#irc>wdnG?z zyzER{{{*%~4mI4()Fjh6;INMAu1KkEEAQPUPTv}A+T>)%i*>yCm&ZeM~gs@w7Tx#9KaW;2I+Zr689#xF^`{+B&JNZ@PSamss-Q7+-aqaa)KQ~Hb zIpmx@M3j-Wx>(c|eoYeSqh#vhi zFV%-(!pt{9P*JMoE}b4%k1~6rn`nj!Xg5i{i20gKcL#H9?5JSOEf<>@OU?_FrSg`i z{Pj(A1GQuxzBkyM^@+Ba&E4F-WpK2&X6`?Tit&R!qfB)_l#EL8VXgTCu62Dicr);- z@T2FVo@tG%EDB<(nnuN8V`KQ45&Pr^U-I&d`;aeZJ!|kZS!=g?Ifs$cU>SvHNix}8 zi&9_JTWEJLwfda)MGDAWIeD<;Z66e)1~0(>8hu7{fOTOeJd}x$Ls79p6_;Y(d<&mF z@kUF^jS|hy{^alInRHD@8d272y-#LoeD>q~vGG|rsn?2_^@C?isc{XJNHa&1QF~zd zqEGvlp%a=kFaR~%f=%Q*n#p6T905jx0I`Ky*ByF+KE3|b9!>3+a3=IT%s*l_6N)SD zw|?4pTQ?sr|I=rqyi4=-k!6A`S(qeSb&|Y9uOn@r{;!IKd9h{jdUgfXkjTg}Z^azr zjPj#S1zw72e9_j-XtBA5tmf#WRXu=v4$2v*uS3Ik44yqvF@t!lDiHEGAjh?UB(TaH zQj;}|JTLCMjw+7{1l%P=ZPo9ehGbhr-o)3s5j*_Vk`lfuwq+8!K3SFSca7o({Cuu| zOJ2UDnix~(L+NO<^n9C0q*?pLD(Pd#y1Ka2@jnX`#g zuT*rj+mmm_ptZ1mtU1?2?>IDYn)3Vijv=94Jhb_pS|2usu9h90N6PY05NExLu$0c9 z&YvU&bI(;C^Gnun`KD~PUo5I6pj~(ki&rfwN?P)KZ#S1gCt2EY9Mn~bUvDI+aeE3Q z_G(oMxO6r$0aUFg>)Dx5QwTv1j_c(cAlAN0D&(9aB`W<1xrkbD2&Tqt7uV|qT=0a#Bf+g&nW>se z=s)tjtaC{jT=*g+hZU*hzz&DSU8^X_6XaRIS2TveS^$iCNKK9?Qj*^QoYcm1I!F0t z(p~O|Op+ZlZ-~{oGW7oq24ZFSZ!i!C3+I1<9ws72rvFdZ=6{Dkj2x`&|F;mxTM1f4 zSse$%L5H|WOGTti#}ql37GUW|6yWCv5`d%-N-Hd(7ay|6n+|~jUJ0hw8%N|w2?GNb zj$o@?V>1nJQpIu2%cUIU5m{F@o6hu{?zsNy`Rdtm>v_k$ytyG>zpXP^ zg%&my2^FaWMb;@p$^QWZ5krX<5EmB+el(5*$J?9Kr`9VS4T_--TB`CxPz`A+Tnq{+ z&@c>>z;LWc=a(Ls;;kHv-^o2LNWc%my)gj>S`h_MkL<887=|C-b+N}20~mGo8pK0s zeq*5AF6_N+uUOP-pnSAMvG}zNMc~NcCcQxr6Rn^hlzw~A;D_P<(7@+T6lw!w_faUm z7br%s9?ZLgczdiH2In|3jaOte`lopi+`X_?6h3=Vh3wGA#2x&EUp!c;A9==~XT2E{ z1HFQ9d>H=Pq?+poq?i#~ZF%k+0Zm`QPQu7_cVDUuraFxM4Z^`jSPB?Qp^MOpyAx2>a@X_cOi;=w8$is7ygoQuj*hTp+cGg9uY{}jA+SHApb}XzyPgh(UL-K`(z&s z82;J&hM$mRS;-m()nAlr>#6l#2($eLf@UQHnlKLyIg_I4+YDPl* z{G?~7^z#VHmWym*rzhq88&D}hQBn8kw=+O#jUyW(_0OaEj2-g+ej}j$;6-a{JF7vq zyBjL-PjpJQyU{#O=Q;!D3B^*2%5EiXS+kzQ=X93mr|~dVRi*#=CD<5Q69C`DY9Uz} z=Lx$UH09=OSUYd^JOr}RhQdtZ>k@cG8T{VS`0z zZyUUB4=r|;?y@~G zT(=Fb5z)9sA0o;%V;wSp9=SiA54D%@5>^-edSktvh}6N^RHHR-uVhBlPIf-BDs*WP zOk%!AvRuFEjXqz4*s7F$C&h8&!f+b;VgNEq8K3;MTjQw1*zwgM+L z)^N~shX<4PE)PAK%^#}YVKo2jwJzY(*|+cx5bEJ`(zF+E^4ZnN6ICB=zQrnJGk>{f z7DKSh0R>#0gns1g`pS+HGulUXa&?`{9$a!(OMrif29Bts2@JO5aCM8Yd+n*#3Z=)G~w71($ z;)WuLJM)%~<{t0{_H|#t-rv6K6E6sfUMy(GYh&Uj#7)SHg!rzu}yM zM7q4<)3y0@=#kwx2nr{cR@NPb1}>JsQvvq z=}09-Q$pb&7{8eF%g+3Da}s{S%QI|C)k>EM_p(h^pM))U?J2>TRqP=&gU%U)5HPB7 z3*ZD487cr$)%n=Uay&G?7ol=z{S{@7koD1Jb5ol1Av`2LgL72uY&Wy?+M%PW_UnVY zGVj=#mFqB4BDV(I%V4EWoA#dgv=1+GS!rE!Yk_eqFSd#{jO(H~X{kuPK2W zN;$sg_eMd%cnyUk$0(5tK+(`@P2Kf8mgJD_EVFz~Us`*yU}aIg-24z<8|D*?Dk8f2zZVetVyZ#MNYBDR&&WXq0}ysJHFO4kKlx7nFVhleCt~PqN<=Bb#l*nGz`)AL z!pO1c0xr|gI>(V#>U9d&h9_H zs90D!5q%&3(A&k^Dd$pK;#K`SO(b9z|f(SsnZLbzgf5DKo9SIeM#7nu~vR-%=Y ztBk94CnqtfmYz$g)jw4$wL&--;9AwiE2YH^JC)7Ro)XYR*{z>R737q`x2nyfFedf) zj3a5&&=gP~5{;ZldB_{lpjYBx!>X;T5BsYMbksN})`z2uy^b3eif4e8gm%lRs|B<$ zCly_F*T;#_oSkh-lq{89kY#h$7sM z3F|EEYtElNsFbT0<)kJtNa?g^7`%?@1phn*soaJr?_ttVDuy6x@EoWvOBPLjJSBlQ z2~eLpw9@2UeRU^|&N%$|?XXU3=xoPfGhLkU?^X7(TP!fjwbJ0!;DBQgk;GopfI~8W zoBvA&l-fRP3X?)TVF7a54~o>b$qFOI9=V#YOOuyhQ&tUL$GmHAj^y_3MPlETtE`a2 zU1u!k7D$?HSiDpqp5*?g=$+*Z8!kz@R>1~$41c5kS5grZr%CcxWKyO$q+{16K37ZI zq?Wv>cycbW?12R%Kd+_Ql4s@FSc6ojot@fJNaxc=QpKV|NBO6CY0IohUY)HJ9jm6r zwJQmF`X9KW9_b$3?TSf$*`AF=E$Z@G!Ll7W@1kmC+QgkjZk3|`YP+q3auoIBoNA0? z!iwiCwZVj=iHAl`pYAVzjV^Kb3jWA#T;pNL=iRfq0%t}smM1ej>gxdwhqQh|yHSSq zD3bJ2R9?2wYpco?%6=29ktZ`0RP2$Tr%nAoX{;lg=M-Q;%bR>?)6T}*e)Ns9V;Oe} zA*w5PxW;p=C>4yYAjDKH7y!Yb>!ggM)m8@e#BnMQSG{vZsb}!e7422pEXuioT+e(rxOwVmS$4?Z@M-%9nU@M*<-n)vn@3-d?76#bSvowL(;vH zwEUF)#=K+$Gk>K(}r`63TzbZw{2vQZHq{FPLgLPq%SE! z=4v4f_mkgqB9*J=uWpr!`c0}QOOG?nP1Q{xrxrmK{N?~}W3tL5`YL?ZG;^9;zm!c{ zYr&hZ6URv@hG@Ju0eg_~FT5bbolTck9V&+cw$hx`C+h&lU`^tKk5}7U4<+dE;{M^z z*@vx*hk|wjelZ~x0KIgSc(1os=U`dy`)Wa9Sb{k3v;;-Q{2eYBwBld+6n|>?L%9jv7L_+G21V3jGtN+@f(&Vt4H^Djo;= zV!WPF$@oG51bUIJELG$*5=!IGlP-imV1}|KmUss+P7(yv8%^A&Qa&!Qdh%O5*P~BSqn*A|GV;-ew_XPtN#_g+Zk+ zB^1GMD`6H{bK!!n)oy3Pabhi}E#Fn%)Z($7_4V;{?eJ-DUMlK2?G9?7(~Jp9vHw)8 z#ri_)~$LrZ_c&3 zqpsQQb1!#{v`SvAIH1sKgoL?lpr&8`V&;^*3hfvaR( zN$<_rtF^J7A{bF1d=lpF`F)^pxt2`j$L!VkF>Y)$^#fY->9cl(@5d8mF98R}uVcbs zPp=TqO{C{m_|3mCn}P5J9?h$tq52yqmoLH0N6&&p^~gF>G3TV<+b~W8geI-ZEF($; zk3>8setIYMtn@#ARoEL^XAm%gJa9<&mf42s$-D@0MB;LUhY||`>x+9OvumUD2PBI{ z1t9rm_en1dH~L9w#@HRP&nyMwizt_kXzx~aq7UwEu|0(`Rwv48`lv$4LdJ0 z`^6A~Wl+_|LWA#Ri#u=GEn#(kiwxBL+L`ZA%0HwWxpvE7vFBPZWD*_pg3TmidQ7hA zk(9x0d$mh{H{Z^RB<^xh3TRTUzUPe|mz^)(&}~YGA`MN}Ag$ggW!Yr4Hq_n3Z*iZX zM3@NMGLsIAS@FuvEz$!@2Y5J~x1gkvTkSFpxm2f~en|iA7`HKr)aFKKYNlb|{D3vj`|* zyB{S^o<-39bqc<(sJwtetSAX~JgsJ`Qe2dP!bw%(C@m2s8c$V`*ajG}C=>x5QNB}3 zGu-AJC^knB&;hQ{eG80o&1a1SoGj_;SE5aifb7dg#id}P3jSGu{Q?Q~^&2YfPCnxx z*Y`zydo~$5_n@94$715)vYk#D1vnwGSw$O` zO0P|c&ewo>Iq*o*wH2S3|Jc$&d(~pc+!ndiv3Ta#Q2lw?h%S6wXFD{{D63xg;JWII zK!-G&VCK=Ds#kRs0d9)&>G6EDyE_$;gMg6J9mh&ANq#&ro@ii>=xO-u7>Y8wb z2MgcdKJ?Wm0}j=X=s&Nr$wl7D~B#o`}oS?04@s?s{wt%^sC z^zkCXUMS^;PVpkp%=atPs>t(^a|YX9Xp8p|8BrU|+R!lfm2_AmPCsNms4$E;GidoE zl3FqJ2h|-&y2E;wRSR4drvM@10KKeQtB=d{I88>ByvGqr^3kerP7E;a3|)--a{y59 z-!&tKQ|Hv=sKeT%%SZN-v*+AUm31Eey?Db}GwQe{P1dyey>y?k$o=u72|1r^Pw$O8 z7)r{*#J2!}OGe2m%D$Cr7uv*;v=deG0&d+~rv*;k8yBW8Ys72&{w966r^mGfR+r^Le8;2Ojx^A)W83|)QGwRRTh=gz6~D{d>EfEBxTV`+NkdFSqegWd zWNRWSysK2W10h8O-({iFw!oA#8(CRSyW?-aY|PYb3%g?JH_OGuM81p}%*`a}G7^Yo zlZ1#o``NEivx-egqq z9JYKrr1CvkILuZ#jIW~GpH$0j+(J(A)dL%uj2Er~SeA^wUY%B?Pyp)+|Jh2fgXM2B zKM{Qj5m88DfeO>xK<$ON4)PFRy>RG%bfVn4U zBisbgcFvEoqC%+uCL6ZVjIY<8VkrI4|i)BZ%3+WHkdhb2t+S8Qgh9>l@ z&$H)8lS9~sj%n9_0bA^jw*Hg<_m72cXz`B)dhJX4-}pXoBDfyMLz!Ciu%Eg5rFAFe`4YL_iRYHv-i@jiAw@QSO%UuoHN70;*QYp1nEQczxj`elSN zNSDXQ1%tUSNv~fZS2@Z%{~e9+zbo1QPwcFrWNHQjkhC)~btlqhAYx=?)rA2lTmClv z&n*lZz{)Jh&c-Gv%E2Zk z#KgeH!pd1gD^|K0PR@thuc6%l#D zCuTG}AmS8B3=J27PDn6`Qzp$gh!ctz&X?f3jn`QMdOkIW1|fw=9sJ4ikf7wu-OsFN zCZr+?8AC>qBOX;mDch$XP;X-wY=&~D7L+3y?K0Pmje zhQScr!`yvG2EKwW)8JQwr@!p#mXxvcnyRP7=|J%S4WDNdxp{&{WmfI+(U?Q;G6 z02O}UbpYMFwC8vQ%dRy!pulqSFKODv&WMf)fW87cg3EM4^gTC^k;cpDP%mh^x@sK; zFDQkNuSXU!Q}?9M6_vN^X>(O*W!q87F7=pE>AKJxPzk&2H5AD#iRKhJl}i^TZx(7i q(tO5!QpSDt6zX&Q|GTY|v!SE2yW@91Wn^OhrmkSf$VBDEVE!Mpd<=O2 literal 0 HcmV?d00001 diff --git a/sose2020/la/uebungen/la3.tex b/sose2020/la/uebungen/la3.tex new file mode 100644 index 0000000..16ba925 --- /dev/null +++ b/sose2020/la/uebungen/la3.tex @@ -0,0 +1,267 @@ +\documentclass[uebung]{../../../lecture} + +\usepackage{gauss} + +\begin{document} + +\title{Lineare Algebra II: Übungsblatt 3} +\author{Dominik Daniel, Christian Merten} + +\punkte[12] + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Seien $m, n \in \Z$. Beh.: Folgende Aussagen sind äquivalent + \begin{enumerate}[(i)] + \item $\overline{m}$ ist eine Einheit in $\Z / n \Z$ + \item $\text{ggT}(m,n) = 1$ + \end{enumerate} + \begin{proof} + (i)$\implies$(ii): Sei $\overline{m} \in \left( \Z / n \Z \right)^{\times}$. Dann + existiert ein $l \in \Z$ mit $\overline{m} \cdot \overline{l} = \overline{1}$. + Also ist $ml - 1 \in n \Z$ und es ex. $k \in \Z$ mit + $ml - 1 = kn \implies 1 = ml - kn$. Sei nun $d \in \Z$ mit + $d \mid m$ und $d \mid n$. Dann folgt + $d \mid (ml - kn) = 1$. Wegen $d \in \Z$, folgt $d = \pm 1$. Damit ist + $\text{ggT}(m,n) = 1$. + + (ii)$\implies$(i): Sei $\text{ggT}(m,n) = 1$. Dann folgt + mit dem Erw. Euklid. Alg.: $\exists u, v \in \Z$ mit + $um + vn = 1 \implies \overline{um} + \underbrace{\overline{vn}}_{= \overline{0}} = 1 + \implies \overline{u} \cdot \overline{m} = 1 \implies \overline{m} \in (\Z / n \Z)^{\times}$. + \end{proof} + \item Es ist mit Euklidischem Algorithmus + \begin{align*} + 51 &= 1 \cdot 42 + 9 \\ + 42 &= 4 \cdot 9 + 6 \\ + 9 &= 1 \cdot 6 + 3 \\ + 6 &= 2\cdot 3 + \intertext{Also ist $\text{ggT}(51, 42) = 3 \implies \overline{42} \not\in (\Z / 51 \Z)^{\times}$.} + 55 &= 1\cdot 42 + 13 \\ + 42 &= 3 \cdot 13 + 3\\ + 13 &= 4\cdot 3 + 1 \\ + 3 &= 3 \cdot 1 + \end{align*} + Also ist $\text{ggT}(55, 42) = 1 \implies \overline{42} \in ( \Z / 55 \Z)^{\times }$. + Der EEA liefert: + \begin{align*} + 1 &= 13 - 4 \cdot 3 \\ + &= 13 - 4 (42 - 3\cdot 13) \\ + &= 13 \cdot 13 - 4 \cdot 42 \\ + &= 13 (55 - 42) - 4\cdot 42 \\ + &= 13 \cdot 55 + (-17) \cdot 42 + .\end{align*} + Es ist $-17 + 55 = 38$, also folgt $\overline{42} \cdot \overline{38} = \overline{1}$ + in $\Z / 55 \Z$. + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Beh.: $\forall z \in \mathbb{C}$ ex. $a + bi \in \Z[i]$ mit + $\delta |z - (a+bi)| \le \frac{1}{\sqrt{2} }$. + \begin{proof} + Mit $\text{rd}\colon \R \to \Z$ + \[ + \text{rd}(x) = \begin{cases} + \left\lceil x \right\rceil & |x - \left\lceil x \right\rceil | + \le |x - \left\lfloor x \right\rfloor | \\ + \left\lfloor x \right\rfloor & \text{sonst} + \end{cases} + .\] Damit folgt $\forall x \in \R$ $|x - \text{rd}(x)| \le \frac{1}{2}$. + + Sei nun $z \in \mathbb{C}$ mit $c, d \in \R$ und $z = c + di$. Dann wähle $a := \text{rd}(c)$ + und $b := \text{rd}(d)$. Damit folgt + \[ + 0 \le (\underbrace{c - a}_{\le \frac{1}{2}})^2 + (\underbrace{d - b}_{\le \frac{1}{2}})^2 + \le \frac{1}{4} + \frac{1}{4} = \frac{1}{2} + .\] Da beide Seiten nicht negativ, folgt + \begin{align*} + |z - (a + bi)| &= |c + di - (a + bi)| = |(c-a)^2 + (d-b)^2| \le \frac{1}{\sqrt{2}} + .\end{align*} + \end{proof} + \item Beh.: $\delta(xy) = \delta (x) \cdot \delta (y)$ $\forall x, y \in \Z$. + \begin{proof} + Durch Einsetzen der Definition und Nachrechnen, analog zum letzten Zettel. + \end{proof} + + Beh.: $\forall z, w \in \Z[i]$ mit $w \neq 0$ ex. $q \in \Z[i]$ mit + $\delta (z - q\cdot w) \le \frac{1}{2}\delta(w)$. + \begin{proof} + Seien $z, w \in \Z[i]$ mit $w \neq 0$. Dann ex. mit (a) ein $q \in \Z[i]$, s.d. + \begin{align*} + \delta \left(\frac{z}{w} - q\right) &\le \frac{1}{2} + .\end{align*} + Damit folgt direkt + \begin{align*} + \delta (w) \delta \left( \frac{z}{w} - q \right) + = \delta \left( w \left(\frac{z}{w} - q\right) \right) + = \delta ( z - q w) + &\le \frac{1}{2} \delta (w) + .\end{align*} + \end{proof} + \item Beh.: $\Z[i]$ ist Euklidischer Ring. + \begin{proof} + Zunächst ist $\Z[i]$ nullteilerfrei. Weiter seien $f, g \in \Z[i]$ mit $g \neq 0$. + Dann ex. mit (b) ein $q \in \Z[i]$ mit + \[ + \delta(f - q\cdot g) \le \frac{1}{2}\delta (g) + .\] Mit $r := f - q\cdot g$ + folgt damit $\delta (r) \le \frac{1}{2} \delta(g)$, + also wegen $g \neq 0$ und $\delta(r), \delta (g) \in \N_0$, $\delta (r) < \delta (g)$. + + Damit folgt + \[ + f = qg + r \qquad (\delta (r) < \delta (g) \text{ oder } r = 0) + .\] + \end{proof} + \item Beh.: $1 \in \text{GGT}(9, 3+4i)$. + \begin{proof} + Mit dem Euklid. Alg. folgt: + \begin{align*} + 9 &= (1 - i) (3+4i) + (2 - i) \\ + 3+4i &= 2 i \cdot (2 - i) + 1 \\ + 2 - i &= (2 - i) \cdot 1 + .\end{align*} + \end{proof} + \end{enumerate} +\end{aufgabe} + +\begin{aufgabe} + Beh.: Sei $R \neq 0$ ein Ring, dann sind äquivalent: + \begin{enumerate}[(i)] + \item $R$ ist ein Körper + \item $R[t]$ ist ein Euklidischer Ring + \item $R[t]$ ist ein Hauptidealring + \end{enumerate} + \begin{proof} + (i) $\implies$ (ii): Polynomringe über Körper sind nach VL euklidisch. + + (ii) $\implies$ (iii): Jeder Euklidische Ring ist nach VL Hauptidealring. + + (iii) $\implies$ (i): Sei $R$ kein Körper. Falls + $R$ nicht nullteilerfrei, folgt die Behauptung. Sei im Folgenden + also $R$ nullteilerfrei. Wegen $R \neq 0$ existiert ein + $x \in R \setminus \{0\} $ mit $xy \neq 1$ $\forall y \in R$. + + Beh.: $(x,t)$ ist kein Hauptideal. Ang.: $\exists f \in R[t]$ mit $(f) = (x, t)$. Dann + ex. $h \in R[t]$ mit $x = fh$. Da $R$ nullteilerfrei, folgt + \[ + 0 = \text{deg}(x) = \text{deg}(f) + \text{deg}(h) \implies \text{deg}(f) = \text{deg}(h) = 0 + .\] Es ex. also ein $a \in R$ mit $f = a$. Außerdem ex. $g \in R[t]$ + mit $t = fg = a g$. Also ist $\text{deg}(g) = 1$ und wegen $e(t) = 1$ folgt + \[ + 1 = e(t) = e(a) \cdot e(g) = a \cdot \underbrace{e(h)}_{\in R} + .\] Also ist $a \in \R^{\times}$ und damit $1 \in (a) = (x, t)$, denn $1 = aa^{-1}$. + Wegen $(a) = (x, t)$, existieren $u, v \in R[t]$ mit + \[ + 1 = xu + tv \stackrel{t = 0}{\implies} 1 = x \cdot \underbrace{u(0)}_{\in R} + .\] Damit ist $x \in R^{\times }$ $\contr$. + \end{proof} +\end{aufgabe} + +\begin{aufgabe} + \begin{enumerate}[(a)] + \item Rechnerei ergibt + \begin{align*} + &\begin{gmatrix}[p] 0 & 20 & 0 \\ 10 & 12 & 6 \\ 20 & 12 & 10 + \rowops + \swap{0}{1} + \colops + \swap{0}{2} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 6 & 12 & 10 \\ 0 & 20 & 0 \\ 10 & 12 & 20 + \colops + \add[-2]{0}{1} + \rowops + \add[-1]{0}{2} + \swap{0}{2} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 4 & -8 & 10 \\ 0 & 20 & 0 \\ 6 & 0 & 10 + \rowops + \add[-1]{0}{2} + \swap{0}{2} + \add[-2]{0}{2} + \swap{0}{2} + \end{gmatrix} \\ + &\rightsquigarrow + \begin{gmatrix}[p] 2 & 8 & 0 \\ 0 & 20 & 0 \\ 0 & -24 & 10 + \colops + \add[-4]{0}{1} + \rowops + \add{1}{2} + \swap{1}{2} + \add[-5]{1}{2} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 2 & 0 & 0 \\ 0 & 4 & 10 \\ 0 & 0 & -50 + \colops + \add[-2]{1}{2} + \swap{1}{2} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 2 & 0 & 0 \\ 0 & 2 & 4 \\ 0 & -50 & 0 + \rowops + \add[25]{1}{2} + \colops + \add[-2]{1}{2} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 100 + \end{gmatrix} + .\end{align*} + Damit folgen mit dem Elementarteilersatz die Elementarteiler $2, 2$ und $100$. + Also folgen die Fittingideale mit + $\text{Fit}_1(A) = (2)$, $\text{Fit}_2(A) = (2\cdot 2) = (4)$ und + $\text{Fit}_3(A) = (2 \cdot 2 \cdot 100) = (400)$. + \item Noch mehr Rechnerei ergibt + \begin{align*} + &\begin{gmatrix}[p] 1 -t & -1 & 2 \\ + -1 & -t & 3 \\ + 0 & -1 & 3-t + \rowops + \swap{0}{1} + \mult{0}{\cdot (-1)} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 1 & t & -3 \\ + 1 - t & -1 & 2 \\ + 0 & -1 & 3-t + \colops + \add[-t]{0}{1} + \add[-3]{0}{2} + \rowops + \add[-(t-1)]{0}{1} + \end{gmatrix}\\ + &\rightsquigarrow + \begin{gmatrix}[p] 1 & 0 & 0 \\ + 0 & -1-t+t^2 & 5-3t \\ + 0 & -1 & 3-t + \colops + \rowops + \swap{1}{2} + \mult{1}{\cdot (-1)} + \end{gmatrix} + \rightsquigarrow + \begin{gmatrix}[p] 1 & 0 & 0 \\ + 0 & 1 & -3 + t \\ + 0 & -1 -t + t^2 & 5-3t + \colops + \add[-(-3 + t)]{1}{2} + \rowops + \add[t+t-t^2]{1}{2} + \end{gmatrix} \\ + &\rightsquigarrow + \begin{gmatrix}[p] 1 & 0 & 0 \\ + 0 & 1 & 0 \\ + 0 & 0 & 8 + t - 4t^2 + t^3 + \end{gmatrix} + .\end{align*} + Damit folgen die Elementarteiler $1$, $1$ und $8 + t - 4t^2 + t^3$. Für die Fittingideale gilt + $\text{Fit}_1(B) = (1)$, $\text{Fit}_2(B) = (1)$ und $\text{Fit}_3(B) = (8 + t - 4t^2 + t^{3})$. + \end{enumerate} +\end{aufgabe} + +\end{document}