From 28f7c372b353376a73b15620383765caeecd414d Mon Sep 17 00:00:00 2001 From: Hearot Date: Tue, 9 May 2023 21:56:22 +0200 Subject: [PATCH] feat(geometria): aggiunge la prima parte degli appunti del 05/05/2023 --- .../main.pdf | Bin 203022 -> 203079 bytes .../main.tex | 5 +- .../main.pdf | Bin 0 -> 206030 bytes .../main.tex | 167 ++++++++++++++++++ tex/latex/style/personal_commands.sty | 9 + 5 files changed, 180 insertions(+), 1 deletion(-) create mode 100644 Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.pdf create mode 100644 Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.tex diff --git a/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.pdf b/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.pdf index 41db5a49ed01257d16d081359be9df4b81a32f95..86359428283c0b8754d2ee104c34e7580e4890d3 100644 GIT binary patch delta 8138 zcmai(bySpXw}(jykp}6IM!@O75u`&v>6Q?XkP;B2h8|iFkQhoOB_$*!1(6hy?k-6Q zCC|Ly`RX0dT4(;5HNV;S-uJ$C%zDct)5ZqVGn2;gEj=3UvMRCeOTEdy zNR#uEZEiEaoASTzErz2LY-BdGe6_cGigFh|cuh5m?d*&WtDhU6eP!CTuN39h^N^O@ zz^Eux**Ge3Ydr!g%Fix+P&;}=USo>QdO5B9Ch-YY2YcWiu50r(hViOg`s=1pfzF9g z9*w$sI`tUqh#=Nm!8S3%PCb4}YzD$@RSsnSLy-8vDaQFKtn_{KVFhEhvPFmG7ZS}1 z))No!u!;Q-mAAArkd`qVy|z4*eYw{|W8{G;FoEcOBj#sT+XY-hD(3y^$!S#z*Xd>=s!`(pmQm9i+ZPtPXrIdIEpD!&6GzJ2uX$&oppPnV5{Xrle#{+$C~nDw ztgSTP8r}M;UoL)uu2wCILf&}(Rs#C1j#tgS{47*7Z9{`z;`ZKIT%drP4E%?^NQuZp zfl;c>^#=CQ%Q3yLfJ3jFXX1tair&+LeFOz9UyvYLVpghMa^k{lZdIZDpMu1STpF18 zqTJ=GUrs-b>t^){?yn06l&_mAfLudFsZ9Ya{ORv<0(~v0(UBsIoDQw?G0ar;Rpw>b zEZ7mr?%-u2gG0lYkCtDUC|`)kAoRCx)T*k<1s^Je(~G;K7Ft)_qq2vK*i6LiOlk@D z_6Dz669Ps2isX6+=yIeC;}*UJanur(&!HHt>{Y@Z?2;y^wl*1z={Kw&F2m0cGRZti z`&&QFY{*Sqpj8A{%wXloDn_r#P-a9JuA8BhcY{|ZdT!o+ zp*P{`#2(*;dflWW-SrOjWkaURamVvx9_K@|k>?Hp`?eDtHeZ*0?IbY57JQ;)^OcNU zDpWz0!4zn6(N6luii97XQ2k0lcRjys&1z5E%K8wkc?cGPi`iGBs1h?+=&9OEs8)O= zKjijP)o~`aJJ!t#5_@Yvo@{G6kr5Ph)^U1K1aow}Am2bqF9>;dxMUXJZEV|AuWo3q zQK=^U77Bhl?&Wx7b8{=-M6~}0o$Bq3xZ65uk8SPI+4si2c6KOpzjkD?+KE+v%CsTO za71U^=ykr`!F{XTp`PGv4nNTRSrWuN=U`!FyJMjFTZgzW#Yl#7xxwX;`i?njtFH2J z;q!H8Gv64s9rJ`hRe_Eso{}(S>u2QFf}E$Wjo-0U?NQ80v3qhC%i&dsMf1=7H^iuK zt^&qhqs!@eM#}5@_%j&$F4P|G^er_NGl_)=JALr9%?%M7xuyM3R?*nie6fV!dT1xn z%=N}H!c3?QJcjmu4P_?y6;xe ziwfYBu*}HFD#{;}tNPzuxa|w%dBW`}7XV}2=46FjA9+&62x zYR#3RfuBnf1byFT&#^xiCoa!cOeQQkm{S)EzL(}YBdAtAzz7uh9$FXcx-ak1!Hi*V zX|!zj&`P5)XW2SP{1y|k^T@Z?Dtqnr+X};y(W3hH5v z&pQun6-6AwRgu+I0@_RV@*rv0qZuiu3okXyWfyDsUK)I(h+wTN?^)cZ0vVxrg3UO4 z(K(p>xPgDeR$lz~dPCJX2OV{9LXCT^{^3;yKgVo+#FrLsf6{ER_UXJ!=+cz_%JT0%1q^{o|&2*tSmE(`PztBMyc|S!%DSGXf(6hz# zHdY{kLi)+1rC;3d$qNFCS&mNzzYMib*wl(yGp9NoKHm`Y_&$+EqS?Jd0?x}qf9r9l z9l2h*QbBD${XM#m!iw}4L5Il$65*=exVw~51RcNL(_((u?i+L!yp0Y07HaS=mcPAk z7h+^B$nyiWH?bI{E2wIgFB(ts`mw0Jmy}9x>6>}fy(!_htEtsJcKg}cQ!1`g5j|%_ z)k1O$wTtDhlWtP+`w9HVH0sqt&c z+S=aLiH#^+pcUdFV0b&s`)c>1U?GcamHM3J5Zg;fj47B%`2q&73U05uyjkmIqrS~% z&r`>Eqf=WEaT(SkiF&>i3&?xhz$O~_CuTb1(4LA zc;&il<`E7ZxkJpKSY@QSJIqd}i?|{7KDRp&3CZrEG!WNZ+Q!K>IIy26z+e~4X}W2z z!^JAl#`U(F&36bKNIb0_wnQ8!Xm4|oED4_0_nGRuEQIF#<2q-FbCL7R>r6LBhH1neI^O z#DVYc_9kz$lF11X)O^y7=VjGb+W}uOR zb4pUOr}7a2Vh;0jqjzGu>IcHs-(40nHC$?@mkQn@z1uzN6UJet*x_}DEoaZBk>gsC ziBR_-Bi+*qj=tVq>3%A{R~p}|V;*FSnzgXiVwqDukgjapLwPuQQJY~CR8x@g6B)?l zRG;SEA-&{}8HV(^iQV7PsR1_bjUoJQvgydmyQ?eqq6vkqoy#Y^NW}?J|-kbW3d3!;=RKRSa&- zLNCM#?&Medq&-~HVJ+7q(@nr&Iybbt;^#Gwy(m_*58$^xKJ1jXLXY@$SJ2#kKgc<5 zul-y8Y08{MuepL!X-{k4L3Z>lWA;b+rDMmNb!Wk%4_X$q5o89}^S$@2WUy~Ftb@}) z45kHIcXrxdeh~o5Qtc#W*c$qAGGq62Ld-pq8|eT~pBn&D=O2srYM`_eTSC8RtsR-v zD8$}2=OBEQO2RBHRF3|Y8sHIeO6L{`y|7{mzY-c%ytBPGFZb>2WnNI5Yq?;sWXh&` z-HgBRj;xW~$WmgNX+wK`dY)6M(devyG0$Gn&QoaNyo5UYH*H&9rJRkM$$F_dV+P26 z_ZFj27WDyf3qQoUWI`4hwAjolT|AdTAI#H3^P-A4jF^6%-xwWAs-VcUoVS=hbU&x1yJh&VtzGnZ?v5-_XhYoo{*OQVX(In#R6i39qk1kAj zqL8wnl<_q436{gc>-n9&bTNS+7#iI!a5wMU*ltFY<@EcQGQGA)xY-gxnVb_HdzCSb z*)d}6_oMY^Ai@p}FF-YWH+#L+eMKzfTIrsh+F4azW6s3oy* za03Nl`KUjh>=kh>lx22Hhq!Hq#iK2l!~gQ9R2Sg~swK4KUP9`wp?fiAw4!7jcJban z-g@_If^wAe=;?v>8Kcm5D(z3UJzBz*X(|6WWPE%f{v&}8DHP;-s$e!0N1kU*Ew{b3pVR99EAodt7Hk!kg$ z^Ux?)vWW^B9ccF@vCJ&ysixbmRg#J|J35SO9>mFZg(keQc)-_4(Sx}KPEj9c**iAj z&+D8}L&ioL9n7VcG{n31lX6Ze>G+QJifeZ#=BvOyw9aA1fMg?2bT20z<@V}M;Dg)z zyg={I0la>(sZ84L}dMRy`9sil18MXG2hTxWAZrIl()@o&uucNwOtY@ zPZs)abUN_584(a9W_Ez_xSQji_3-~pLo`wvNSyQsiIL|JKgOT zP3n8apwg67>q5=!tfX8iFRR%s5hJW`N>0kEl-ItU0z=q6X*UUV{%kw!5&m%(HTpYr+4p7T_cRp zk+&oIwW;0V6si7B#7;5IBQD|7w&nZ!nHLvF>)Y6!&=lZb56?#j&pT^xbdIO$MY~u( zzTY!GFpjam5H9Y6{eGq|v7y@}&b9L5<$kfqO0(4YZr`zYz$di5Y#~@Fo}HrQTRMZ^M{9XHC#ZL`L`+~|1SqQhw<2eYz7p34C{bBGddI(Q z`YZb0nJhIYdkl*w>k=v*p}MennbJ?O;@!TFd;9Z-9(A{?T9O=Nt`(5mR?Us)R|pK+2-wOV zB4@X{8B4n9Z48bh2JD#hwX*bFDMclm@)v9h7EBrfBWutvBXSPca=TkiSbxguUYzUw z3=M~HbHzfqM_)e8iFENy<(S@DTJuJ#rurq9p&~ZDO?BLyDonSoGrJ+$n_tHEs4V>G z6CQmma-GlZ-aRvViQk6O^j9xYX)hQgl8<=M8a>PxTz50+mbTA_rki)ZGOtDV@#khM z`sN{p*yJnG2D9g9H#5X7eqvY!=xdL&nBA|H-eb2qvd0xRzrp!MaC}ahODjP#zt{r( z)f2}jM^0@f-j&`B36|kG8!(~a7N|{_ka+*b%^$&RK=?tIwzq>*Ud@^1N2cV@%~4;~ zR1$#C_0kkG;sh(B5iWCSlCmYWs%gD!Zv^Iopnb9E?;{Z^)l4TZo?^{p!t*m|a=1-m zh**UEjncwc>=o?>X*pLEHWYLO5`%)ZTmVJJ!lYq_WEOkki3^t_6`CSe#f*;`gM;ac zH1%Mg$e);RD1@lLOZKHp3-P8Pvkj?_@K&LG*ZpwSZOrlG<|S%27xrLkrn8v0Mo?pn zf0kPoJnq;ni6l%gd!Tv|6WS*d+R4zK$wX>D1-M1(@yGxnB-t=bJf7(;1wvOK6Yiyn(2RHSpuT__Bx*@3>DnW0VmANV}>r$?&fG^XBhO??c1B zV~58w`K81Z6Ya;T=j*KPub!9^Y9;EfH^_;Q2}Jzhqpg2+Yx3M?=o#CDe{kO`x3J8Y z*65<7OH9=BBF=JyR--xxcFxFeVl+F67oKLM{C!t^xCR?^=_qVn=&!uuJw4)AaWI&D zcf#1DtJm|CuBo}8C~*qXIZ3?IoCgH=m@V1Q-cM;ExVGu-)#5A|HdsLQ@n!f=n%6#B zVm*y*y+bbRD5T*p`eEYAz~p?}|qaiw1b}QVEO(@v}Px zsg#Sm{f-xMXJp_)d>9@4x_vSR={R~`8kqNLWLuZBS(S{lf<{G%(6#9}?6RO-skHKq z$O!v)lyAXC#)~s(1)+Z2qhDAnvf7f`V2n!E5SE~DVKFs%x$EI0`sV6m3d}nVR{|zpiF1Li%TUgn zmtSeX(fefJQ|G}HA+h^v5t`QW!dY`>+&>0{ z+^sHb3v5@>FYCN6Ffa3zD!ED6UQp0V92+;FqB&9sv{x5p=x+dE>*TqTYMb)R=sCUP z<%-?cB3G`YiQD)X$jX>ZB=G<{mOd4{WCgr_7$Gf~L17@9m689OQh^68E}r)bei z-Rc^Be}Cc?Bt-7zl1JgtuG{57E1J4@j^_b;H9iS&(u z4KXaa^ji;BEP?yUhunN0J3FaK2Y5Q)Uqk}0B*pjNjqMhiig7wWj{p>82g$e^3)dyp zNl;mSAScZxaah#L)Z^q7TG#A&jxutCr|H-K)Na&P>@0Nh*kDdyFh4X<<3_vL*K>DV zA%v$2-+h2d-x4IDloPgs5ECT~_w(^Lg%oLWVN1QOd#A^{svVHD2Q3z)xh!NyqEB5TdBQy3jz#T&W&DSS1-9hUG4quCdiRf0?hSgARiaTC9<8~xY?k&dhGUQ zbNw@?W)VmQ%5DR@j7I^@lkL&jxRRNXzuQ znNs4yXKlHU+_H`x^UAOY+}{8+9Bb2#4X?smP>fou7GwK&Orm{sWG$!K+k4tG6gPJu zs;mnBV~!i5Vr6aJO`?3^5hJ%-O4@cT&91b__~esP=*u$59IXWj>&n%A7z*A8^r;*= z(Tca%g4>nvTfrUOOfApMa>$c~62|?K5@xli5=5ye6TBW#CG5&vO?V1n4X*OXRQVIu zRQVIN#*raGKqwRnO7^88=J@xAEE?iwG!hEs0sQsiapIx;>m7&$K>;v44FN;K@iin6 z3I^cYAz>hV4GDvT@nV2*aiGY*&Z7Sl7yyPskO(}7NB|TH#@C=wB%VVc5)KFbVF!jF zK=@}N5Gee=G~honMj#RR*&z@x#D5#&>~OaR0TDGZbi~gIZ-PO1-vU5L7!1z~PJ==b z$v_5T0W<`cDbC4%=L-TM@$QE^fPnmI2ZjEjfdTjo0AMf>_z$T69Rmjy@>kryfd)fi zc%T7b2rf7L3qlb13~)sP!SF!iG&uN=z)<+#>~Qe`I70*ouX2BBus^bcB9Ztg!8p43 zv~W)rf1ZUS@T(30BcN#DKQR0^8U*4`gh=Qgb;Wf#5Wm(?F!+yh!oau*!y^a-BY?nv zXy|_r7yvg8aD3Eo2mpc~1ObO4@lhk-NWlL({Et5*0)XGX03-qo{+mA>e;^P?8ZR)e zV*qeG{6G*A*N1=41gHJctUxgA|I(oU%=q6I1VSJX7#cq?1Omq|2@tmcpm=4%?JY1q zEg%epK;Zj>fq{R|7?&^{7x|z4hW__{gG1l|{2&Mr2!BTb5g-Wc4?8FlzdvwLad*U{ zg@6OWe?N-`01>!ez^f-tL;UZ2{--g42;4Hm&kk3mKd>T!f2=6n@`n9w>~KQ|M1pZ` zh{n4i5(4`JKN1T613wamz+Y0hWs5-ICxS!*|AqQrq;dNa0{qt)^ZxVaFN|8l)Q)q!FZ~B&0#41YsnF z%lYnCXS{3O`7^Wj?0j~-v!=I(BBq9-iu)k}41`9!0-NLU18b(L39|^g)-!#6K3757 zfTIUxJ}HTrr4CdvLh~l^Y$+_$0}%>oQLy>)-04uG~FapN-xr z%59G)*}iA**U1&a^I}BiTa7^#VNajsGIE(rchAmtS9WiGb;9f|sSLb6*Qo#crf=fM zlgo>pBblH!7!ZT9yH@bGqs^K9#ZY7L8WVtlB6sk%3+OK|M5LPYSbAcx7Hb1qSa~d%>w%exUu(oH>c{Jp`^6Nx=l_ZBH%pFoO=^)$Q zHnFMDib}x3_}n$gOmsbLb)^E~x}&boY*oqM&W)=h3BiL;f#AJ1tl3 z?a(5AU)~8FoslgHuoKcC%FC2^V>G*SNr^IpWRqY(oLH1JIQaDgVrS0+!c0+-jji>f zXbD^&H_5fGnP<*o1}-5T4^(J|CM@YpctUce&p746uZi#O+q$;M?@dNtHxVu|X~Ny# zZ>O}z1(#s%_oifXD)}~WbQcg#LkV-*z4-ga6De{n$Q76fXRR!aL)9zA+P?Q5-ANGw zQSmka_kWC?YCyn*oFJT|LX0&Kk_2w)Uq&pO!r3KtM|6%_zdT^0? z4h4;nghxnzpx40H>=vbZv^?Eu$0-YlRuzPr*!*B0vENiBr;(Aaxq@5RVtI2 z-!8GpI&Ajd_tzBEAx%_@Pe7T%)|5vCR>Xw#820;}DeANon==Jc)I6p{ua#%+}M&WjK(Q-Ksd2kC} zYxV0c4eG&z83R&3(ESU;v~2w#2-K9oj$W8y+v4G*ENh0cfi3$*Vo%6+C^yyUV*Ty2 zZ>4kG7<6cB`StNG9EF+k&d7|Pz)E>vCH*eTwqy?{wN1i(1lzXEj0V#1@H|B!w$AsE zzlyd|8SH|&(zqp|yL^o-A{lQQRIcX%vT3O^4#`{e3^@(2T3b3LK zWe&M<5K%|QK>khtv-1!8;vlZD0fuACNS;@VI9pj~$saQXI1AW2Yi)KO0t0S2+~SYH z+oqY<_<2qqq?mlG9m?0d%&cmsTE6KitK~K_7iTycL=LwNWDo1}rz{*Pj6ODKm+v9E zZ54%f%z|065fZMT?5_J0!cmkd1;kIRuA6+0!XPY*??3jz*PzK47kFGo%XaoyY77uI=iSc>j2k?h8H zRT1F%e2(wuJ^v_L5*NWd5b$g}I>w2ODu%V1=c=kGT zPT-Ui=WccJnZRRM)x#+kALE{cNu@EX=&Wp;ZqsI<*ojJuvAc$nkrl`ZnX4*qBWeBa zn8sfUmdJ-JQjQ8H4cfmqo1nbVI?Z9q_{zGsh?uyQ9Qho&e{Q?cdzo@5rl};2)BG{& zW7rLJ+=kdsc9-|^^^6{=*3ur56Q=We%8rn@hL`rY$}tYV?b6>g9@XO#+T@53nq=f(DnRP+|&H+=d?6u^XCLy4O9`}ny|{B?^K{>|hvkx}u_ z*5z(S*kttjO)ftToG%gS$6Qz%19M;Vj=tP+@=-jtBGaHaiC_skD*e5L={;R|nJlsB zWV~}U8(L~<5c9b;3~_UsAkEUKoKgKP)%bqaKvSYoJ)@L%)ACo~*~$s}()y^WLUJzA z<0#AFD{nnsP`6C~cP$(_9HPU;VfF0B*z~p=W4JhaWq2$s;7chudFa}>KUYnm3S`2L_@onS_9<}#cS8>E z?1Z=%lr=X68X*x@u0*D|2q`dAA}*N-6c*P3kpgEhFE5To@rFc+3xE?vyS3}ZSe!zN zXocu;EsMgZvdk(V+UMf;Be_X3OWrJvDOAcgYz>Ms%n5T5Iy3WgYD( zhe7limJfV8^=@4Y*t`b4MD-(`XS$;TYEA54xGtx#42V?4I1FSAEYajO(WmWG&`^~v z<(=Zu1XRU5N0IFIPYxx2US9-tXZp`Q)DLZZOip4k0oaO7(Rn%csp$Qh z&tFV_r!XJ!T%6c{^5gN$aKZY!JxLJNXiQ*<+-6vbg+MCNbkf%{#Wk1uw4X0S zuuq&+RRR~qlc6Kqsf+JZE9Q17d}42;HMJ?#u6;7oS&>ytSP0z3am7&beoDicn9|GVWWSgH40=0P zCpN@)u0ID!KVZnPG3*wO^Cl{$D2~D_9110OD@`beh$0+JDjp5RTqMS<>G9{*J;E0Y zSDjb_+VOydYfXrsoOt>w-x^=A%o5twx+rg;ofo$~tKVyH%8aCc=l+y_xLQZA!^@{3 zG7qHd%-(f0T{R#ry01w1r1!f72E5t_QbwEjP6^F^Qmstb*GToshVHB=IJmv5p3#*s z*ywfHfEtX}ysq&mMiqbPPlkV~9vl7YBMS85kQw+;tl%6h>&9w#%w#0qBkzBq=5|fN zeZp6mMUjq6?h-YUnl|xjq>7YyCUDxcCJlJLI9Fr=k$q#xoOvu~hR4J^;5*YS_*-Lu zf)ZyS3NLb)R9J$(N>poBg3+M!m6bn|-z4AHBbNF{!saVj$&+5`^g}Y{3gnviS?fD; zJ4(X?&DQM=DssWJ_#%7LON=bx3v*wJB2r2Z7W)l0qdwY_miPocUVg-VDkwWh{}w>h z>8fh*?Ot1d*Ei{tC4H6$s^69L?#i85ib5<<9C7z*^bAO?bhVs}{7B8^PgdIA_BtML zPz-y_np7OZK3_O&;W*J;VJ@9j#h^0#6_p5#>!43vV zfv3+K>|KJEs#nykj60rrng_$UB)%&FI;NEci=pP>os~XGr1u3+R$)F=CGtK?RR?>n z#Q3GLr$_wK%@YhMnyu3zVy1{F-Y)gmOh|VMmdUztwd?alD{8J``4_Scbhukl+~n`} zI!R}0qxrUgQi5D< z%4EIVj*U0{tzGy^{9VT;S({G}dWxY#iiCpJcJ08H)c(pjl!nB?Ae*) zY1d4=(D&gi;nbhOp<2TBF{0hfrVc9!*|ef#6_(D83;CSs8Vp*4c*nd_OxhFz#NR_B4gD=g0!v-Q34HxLtGt3zdW8h)NIa(o3BhX%bD5m@6D*8orW51tVACd4%gavA6G=TQ#y|)tIWmo zo;L?~esP(v>ogFFbNShmWK(+{dq&Mgmwiyk;1Z^s)-Qc;=?Ud>MeR@pjis57Q|9>F zN3?<52Ab|K2Qei-%rjg|hJghWmD0oY>lW>jA4_k#4qq5GI&T>Ah=`TsOS-bHCDx^d za6JpkV@ozL1w)l}@}%1M)qUM&XTGhLN6+K)7p78Yy|XQAC7!nOTpk{UXG~GE-k~GV zx_@=roEo-%;;Pzk4<pOlwlRPrUn(pEc4yk@?ZXSe-UrI@?m5g=rK;kA_0 z#sYlCnA5DEMG{s$dq3Ee>5bx+)RB-F%Qar&zA$%RWE^z;q}Bd$91(ZJ)nq zGJOqsDak*F}s`pZMVkB>@}S6?~jC=|b4eU%@lza3oMxl3LJc=f6}eo#IV zaIix?1v(1ZFT;jI;^Q@`A?Z-*M2h-)VaXwm=z(byXM6?0B&ISKRtbH~+3PLAOUoAl zZAo^$vcUsqs4Rd;PA{GWheZVTBI`NpYkL)bS<^36bILuew^R3ZGvs|~;>7A{mE_Ka zdr2Fe9P-o+t;2To)U5~$g6y6%l@ZkM!EQH102<@<%o&($m>lclBf8j>D#VkS20`sp z0=|%&D_vhu$ z15Cg5NwpH)F^Uu8)^s`CFJ;MPY)`7bIwEMGeca~@>jNyZ`43O**MQDQ`D}LQ>X65J zN91chh5Un&dzt;0a}(0aZv{StY`k@6A+&X)Tc>z=9(T;0X?aMqk=;>S>TM{}aloXW z8Ij%-@_gi6&j?z3Zm4-?^O``x-oRGDA83yce~K)8u%K6gtyxfv6<$eYtt+%d_{3#d1 zx$@#ctjnS4Z1QX@loEky*ljCasr+0$Fwd)ncl|d`=w-ztS7mpzhBfcNlF*x*g$F=+ zo3!L2qZ`YG+9|$s*(JptF6y6UoT;@$5N$S^+}Ue8rC|}f+?1&`vd>6TKPVJG-|@C( z@NR(`k~4JKsJQO6qIcEsJSSVB%AW7;PK^cE26fsN!Tev5##}(Y;s)KlcL}D0ZXblo zoGH@DGA`l&e3$C)+e5`^S{*yha*qfQAc~s){M#`i6{6hr4KmEMm}xP-J*TO-#4WapB>Cyq;U|E1~o9ij=b(1j=eC z$+WQ3&kzJ@p!VopiikUXn9FemMsOG>q%ffVv;f7ZUU1W1#taZ@J^8 z*eO=;?C3M&oj|?E9;lEikzl@uf&g4nzIFzFE)KUw#xPA#3{H?BNpVm$cL#2FArXia zZC~-^?z-9*Zj-DDftrrgz!UqslhSs52?_7qgeZeIwt2Wa)n`-Tg!sH)(%qit_z%*N zi{HafQu1UbH-vR*dQYDlckuJ%ym+g@TtN4MV;p0-I&3VZ;1&Ixove?hxDIIPjHD3E zOT-Q7=NnNtvIPo>1yjsHGc@kXYmRqmN;sncvdzhG^3=Qs5jO_Y`DSG{oq$Ipw?CPh zsC{;Y_mu4FY~ILP);vV1WP96tvvw=|Mkv!W)Amj6TIPU)I5Wd3)rQ1fIo<~e`40AR zNiX_elZ;}Kj%dbzkvF>9{vD88qOA0cr}qyzN&mgDzM<16$H7d^%9jvCAF6x)D^wsb z1^<)flq)RT0&io&kN3M|7mT73r_$*3_S;iEm(M}Q;Oto)c-X5hFZ8{j7W4KLGoD7& zVuO5>OV>q{3)gZ8T%Yn4)x9KSpA%y zIcEgc1`0$L?lio$XQi-BA8a65Fo$h9V;)SL*5aMb-+wFyqLp3dB07k*J}-9JvYEh$ zF$JOCIgmuAeOI2u$+!);mgqj!Z5$S?y)ELmz?YnL;iy(|83`0;#WKzEOI1xSxxKfaZZYXbugtXFE~fh7qFu(SJ5aUbuNZX66>ru! zOTQwCTli}{;2*yr5_tRq5~$s-kwTFiU<3zZsU$0UVEG% z90CG?z)&F&gbxJb6Ce{)fAUby(#@KKUrrnXf4aSzC!7wBgTMrFKV9U@51QIL8Upayxf7t^62@Hb5VK6Y3Lo^76 zzN+@G*MAa(!=YFX!Du7`@rNE127zPS!eCdP{^JjP^%0Clp&{7Sp->3ue=A<;U1beM zfE#;g@x5?`AV{olK@c?hZ?69e0zo6ukXQEf_&fj5u#y#^c4<4Bd~i7zv>Bg(g-LFjh!F@iiH1fJAr@CF9>m$U=$pV6&MUgUtNp88-pPzG!m-zVKuL?%Ops0V& z8}RS*frKGo*g;SbF!qfCqaZNQA9`>U_I!X*2+$ul^hyi)cUu4iMxj7(tbSg}kpH`% z{~1j1U-Yr7LxT{1U`2!fI8j%}8}YZbyIMLh`fA0%02Wp>4E_iHtKz|L8Dau CfS1t# diff --git a/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.tex b/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.tex index 754ce3a..eecd8a4 100644 --- a/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.tex +++ b/Geometria 1/Spazi affini/2023-04-28, Indipendenza e applicazioni affini/main.tex @@ -358,7 +358,10 @@ \varphi(\varphi'(O)) + g(g'(P-O))$. \end{remark} - \begin{definition} [affinità] Un'applicazione affine da $E$ in $E$ si dice \textbf{affinità} se è bigettiva. + \begin{definition} [isomorfismo affine] Un'applicazione affine da $E$ in $E'$ si dice \textbf{isomorfismo affine} se è bigettiva. + \end{definition} + + \begin{definition} [affinità] Un'applicazione affine da $E$ in $E$ si dice \textbf{affinità} se è un isomorfismo affine. \end{definition} \begin{remark} diff --git a/Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.pdf b/Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.pdf new file mode 100644 index 0000000000000000000000000000000000000000..12f107150214e7595271b347e45f5690a30c6396 GIT binary patch literal 206030 zcmbrm1z1&0*FQ{3rw9_lQIHa;!wEW75J3b%x?8$Kq#H3P6_D-@K|l!+QA$#}yOmD) z_C5!1xu55GpZ9*hKi75EnZ5SRnwhoMtog0k`*2lB=H_)iZW!U!&fca0LMVh6Vrytg zC?Z10bH~KS%*hiC_#l#35og7RItO?zQ z`ZRT-hAS?3jq9aU+ObiGt&^E;6tBH|#o7a>_1rK#^o?C0F)N?B8U5l_`SH3a1oFIB zisi#K;k76hN-S<}(hkvGEFN9G<5^p&>n|@Sa8$V+W9q^9y14~lGWNA@A9UY;{iU%U zww%GssYMh2!$j3KUP$a(U7;c`uauPRF?WBHP26DzwKm1WpSIkg_u)rcfu^qetJZtrUy-v{ zNF%G{uB6-G>2XR2XmMq*YBx35jwxs6Ik;MvRYq?<%rK^ABhMPqE?W^hNsB1^F#i22 zF{gJ8HCJ9E@4}mVQ`ttVylND4EN%B??zuY|D5l;^9oLja-r_Mg-{}z>@720k|F$)^ zdPC3Z`^a>UX;W^%TZfqSrA~d4Ye$>bQR5e4PL}#ZO};&H41(pRdihfbn#f#pxwv7{ z!pZf@bg46)qtVUeE%$@RFZIH#e^6&=2)Hm=f4H7&s8y)>Z7-%Y0Q;sqYsd?37gxJ1 za*eTr@fyu9J}e^IaW55BzPr6CP9nIOjU3Xux|$WB;a={|bfB}^%B%EP3!ZmHWJE?@ zD9@OBq>nRzYVW^t%i`%VKRTVNRgG5fFI&eSF&szP%OG=`O-|7K&x~ z-PRX#Y74rJ?kUR5zw>T_J1l4$RtXABezlRn)Zyu&7MFLP3bAh%d%StQP`9@BV7tXA zoO?j(_KkOZdsH%pY(;B@WAD?#VY-j&l4bmcAKS){U8m~$ENoZi=Dgk0M|3y8QP8&- zUxn1mpb`6nV;1~L{!DMIR0B(4kT6f^WsK6{CEJ|ToL?-H$_ZRU*e%7EsOl6uA}AU^ zGjs^-TvyX|=y%z%ClxQjEBUPa;aM_~!M?r63LU0|@i?n11Ky9lg~*y`l^BZLo}=}g zYg@FHg3ku+UB@!3rPJ-p@~4=`=0EzVZ{K+T^m+03rIcMs>h2#_I-X%9BJriFZXvBv zf=R_V3nlSn;?hs22Bu8jip|qA7{SpZ3KUc8Bls!yXO) zlGw6%?Lj-uT!FLuI=xQ*feC4Ye-BKlp4Gf|0{$dl4h{qFJKWV$!|wE!2aWl&)s)krpFm?daNG*1-Pb zfcK(-a#u6oODuNH+Dkl5+i5*~&!H^uv%kST?P1S4U7BdAFi$Ig`O>`w51$@ELWHq7 zMcwY9(FUy}!p-WfC`%*7s;x4$I;7(jk@R8n77mr8mw6pg0Sj)CkTi3n!*rC9QnoM` zo${xZ_yM)8At7Ghi#k}@@PJlbGlh~|?6pU4;_=pDO{=xnsP_=F)%dD$lB(yV7g?arh-mt0A&46VVCO<_G-tkEnfL3*y`! zJ!%-c`hKC`d*a7}T){c6Wc6z!aUuCqfk7v7Cd><@)C9)N32(o;9%5mo=n(k24jcZQ zd}%{=ZZb?-_T_Zl@V#Hhw{A;U^nGn6HKIr^xJbG=j&sqAuk&_|`jxq!m!u!=s{7|B zHgfoBe2fw7yDC+c#!aD4!k24)eG6X;A2Xl8lPa0`1EBK6_cM42jX6bzSI}&S)cd}^S+jP4b>wNub6>{{*Q(82rfXT_o zSp0{VsP$dH0T!RRht*Q-0h;hwyRYh%t8vP~ILzcHUd9X1VFbtYWlJyGu*q=NgwGC# z_g6y?2@7a-%=Ib^nq%Hz#(A?)V?2q8>5<3iNr~|+Fy&j%pLs=L{Nm&1nHwUqx>jmx z9MM8I(w(xnm)4c>-M%X-EIfCllM(hQ?$1TQ9MuSqpPkDs_s?k}5XhTyQK8nwW7E!b zk8eIs`+N~?4@6%zr)6HziHaa%`LjXYOjq&O)h z8Cg=+D~hT{Nb@@-k62CyP2;>aDVu$1+RgHhDSfM3RSp9wmP)f&O5G#8vbMI$lazVv zZ>vHAb)B-$V>2~R`CKu~h&SqE2`4hZ@3Ashd)?#}qdhS$PpZ*q)U)=ki+Op(K21DG z$z|&cK?9CdICD1dN_keoPd@Adf~%i#Gt25gk39ca-hcPGFHkzHo~n z4e)RKDa}v51=V?c?tW^INKdJS8o!9wgl7mwZD}QeE2q?|$|Bdej95!v49}w@e*ZVI zcP{7c_R)R8z7b3X!(aAIF?QWeJ8#eSLen|WG4?e%6_mV+!D%~ST7z?S&%IUu@Z`3azWOLZ zblBKBoBo3>U;XEN%EK(N1iH2|@qR}rLu0`=(YIu~H1!2!zCmSd6FZ^u5_fH}h~X0C zdr3);_Gp~7jm2(QTj2P%ZSnZ)WIM%T@KYIRrB&lR%eaT(fYq$xlK8cpf|0iTF8)*Q z=N3GH_Lr|KIoU;X6x;47c;l=Hy~0rpJI(*F4a?Kid0r>U@XD}5RRhglyDK7 z!uPSHk(<&R!sAC??(cPIuSZnsTdyOzMNXEUy}X)7$k3qjt$Aefv;NYR{zaWgGs)3t zRdW8iwQy6KZ(eHdj&7sEA;hH%$(|l~&-V*MN(pR~6YnoQObeXuY;&0l?aY|kX6w4G z*D*M{__KS2a7I5lIbHmT_=(=~D``*0Ug-R*t@~z4VG5#`;VNG%V^%XvS)Vsq?3T|A zYZ@NE@^!L4uDi79F0}vME+5`Fb6Diu7rksaTp}kg$oG{HuVo^`p}&rG><#R}B2gXZ zb?%?c(tGK>SmlOUf-BZFO6vYaSkQE+QN|(BA!B$s0j#(_fLRgc|9oa*3&rgD@ z<5)QEc%{AUXn+Kvssx8?4-{q#6IPzckJB_O&22!&Ca} z(2s2bQ0***lc|I(ua@mycf_>C(=YTMPkY-q1huvz`S;m{2RPnZeLDzr5jmV{FH1@y z$p883r5xMEO47K>J8pb6?>%-_T_06^6t8=2pBa;Q%x3f9HLa;my>0y9ve}8-4lQ4* z_q9bX$DwUn-|*1zK&QvQa$UqHUv1WYn8>)iWta}h~OE(W5|&mH*~H})PySOq%X(Od|%gNQla zV^ugQzd}WEk;bEfocNAxO(pEyMOH!T$Qr^{m$cYp=T-J^<%m_%QfW1VP=PjF{8#ju zqnBdYkMc|izIM_rTm2kDR@8;5x#O_0e6nHiTtLyx=_;}+P z=O+yUWFsosF7lW)6>@yeJLIc%vCV$EJhL0j8B9e~J^Hh9h1^Y&_I}F&r^(ghb7I+L zVNY{^%G96NziZz)x4&`V(WA}nZS67)>lJ#rKZ_gjqxqD{6_&;IzCy*T>EXJ`L1_u81Mi&%qqn(i52@Tf`3_<+GDk#B z;5v3pmcYZN?yTT#5E5i2;((NQUWn&0DX)n6a5*81T|>5rJ? zwsUy$MxRX&-0gi>KAQh5bLlFb*c?jAXW6<*?`sKes&Qy-WLu&nBC-R-CE%)pzQR`pfd|GEF`R^_Pm} z(B0&>*ho`Tn9`CF#oq3bfERSHlj7lY1v)s?R*`ScD}=ii#m~CjIw9Y@`pJNY8q11m zhRI?xH%G|J_>$x+1J(w-XA8%B8(BCC&)52@ksYs+Q@D%``2~*2>+JQSTBYxTKj(zDYPS9r)e!SNo0UR@!TY-M)EqtXFUw-46q? zM`ae>%XBa~`YtE1c!^*-T-dyYFC6nVj{te~x&Wb2F3Cq)F(&^T`c(LDT{5rZ9W9z{ zgtC2dr=J_|=jOb$Mv>{mG{rBtk@YTTs=lk#y9*Bg@@DdKpoylkAwkx)((1=$;|<@V z0|?+0i)zzhY2{r>FH()JMDItu?^Nn=HXK~tad-6LT>YBID4SspqjTO>YWAer`H~UQ zvfD1U&(q$wW>;3nYllDUg@y zvh&I+{leEhQmyQzs28i9hnSaeX+BzivrY`Q#Ool@*P3ADbi;9j&W-F{9PONBt zRxqDr1Ft#ezhPwj1aA5ygW`R@Fx7=CUo_a;MRr|ZEJ_Y3T$Owtrth9L2P>1zJ~vN& zuAFqG&UM1Cn|~ZT_yaE-Fy zb#dDyP{>cdePxPx=eHZVJeJHz@L?RNH-)KyKDxxMu+xA zj_@dppGCZBjqciVXeO0Oo96>hbsqsC`Kx()~gh^s2t$vkoIurGU&AEQzx|3)UJ{-MW2dN)v5$*-<~jpBtoyMG99X5X;t^*fV2R8{Lx*Rdu0HR1TI0E~VEQ zx^_B`HtaEoisu&}_dz8s9#f%jSdXTp z_JdD)vy9V|re4VMaqFg-A@Sa!%wQkh&(d)hnr+DTo|PxEzpWjA>KiONqP#v^`t|1X z2M==EWqyeK8l{tS_MtJ?Nbp%23bK@D*VR8EWkKXv#(!59XBUlbsieqym{q+l;BHjb z&MX}%+phVnIZ#Ha%bM)6UUT8jMy}l&C%{XYYQTW3`;F_bB&-dI*-yXkg9mObZ^bYTOFy5)OJD9ln#_^ zgr0lcxXOqpNe8~=H!<#a4BYW~{#2Scfi*4tEkG zS3lLkTU+^XZaAx%h#R|`#6Mwqa*g*j+>73D;P-8R2i(>o>S zq&eLoxuaU`_2J5=D^e586?m^&bJAZd5i2fdRhbq-x7J=^_mvbYA!k!@oU5vIOa>do z8xv0+d1^*u{ZPFq$Z^N*;bLrNH2wj`Lm}?4LR8yOilq= zJE7I$mva;#4~s72-z_40w|I{U#;{#-OJ8JX32Q34!k@T&{h_o|^P}n>g|Z}n8k*i> z9>_ID*{7K$Y-8SgN<43j^$OCwI3P*Vi6vnzY>mCO8>Bk-jOMmif`U7*-KeAE2%+Lh zdP36GXmr6dpdj{9YnYG!a;9ha%WJJ?Dr!%h@aL4N2b3qPJdu zpD@$vLb=VUVv*Tq*#fy+Wf;#+7pQ(Y$7?WkWqr9!%3`Z{VAq9Ml&M5EOTY%QhV|r; z&ZSOPGEMb4=?v?s@W}8tHN5XHArbr;j(hn(U>{O^w)|L^z8Ty_Mv3OWRMpOE)@v@k zBc)e<94Je|Te#mP+UimKnv)7bhVndF?eD7Q&eq!pSm3CoXJYK$4W8jM-r_}>)BoJ8{WPrVVdvXZDecIckWty z%_`~54|>X&h(ao!+vY8%G7gKgHI(Xl_byyNrcC;v=;fnSo2Hyf_WFLyl zwqDQ@?Q<4Y)q&}~uioFfmSO5wR`37vgNNw(ZeE(BHoAuNpJfkR%b4c8$43gsdD4@L zn0E8Vxnp0q?vE~6yjAC1pI@)2)A-=!S*H=QziP-amv;i@oL=*DyYZ_Y+wT;K5L!dn z^nzAf<@@fAb-G7eOT%~TN=Ycw)$Rx(rWYq|b74Yy=U-lEzQA8#ehFs_&ryA2c4zID zjoaIpha!r6^T!60N!^s~W|6qf(}X~74Q=uxu;{ArNN%O3W$m?(yDNhycROH^f0#ff z^ix7spI1|+)>OB6c)kYbWsPLf0K=QXjHI-tOVcNLcAQP`K8m#+SjHFS-M~6QAk8eE zl#l~hz>oQ&B^mbvfr1?!X+c6^49ch}&zIbMa6alQ(d zlW)bl#_&a!HC;q$qgoc<>?6asM>F9zIptBe^tMaw48J9ihw@Z>jbjzPBPCg?s>7%N z%`s_BfmPmSe1drNO!<@OQSWB(s38HHSEYQNS|I_Ehqg)xlV{b1iPA_94Y+qh#25Ui zTxI6I;`3yp50Upeh^*eW?M+Y1$O))pF2asWif_yYx#vl4ewUt0OkeS;^BQhtSPLDp zcOxvdbNoDL`37MU_fq$|;n(VPwg~+n4SbBb(q7U+pZbng2`~S0aecaQ_i+r~MaF$H z-No~(kbp>i?3+uRm`7KbK^!0N?LlK^WeNXcP~^Y;}f*;)n|g66y!k! z#R}V^ud^)U=bw+CWL!Y#)mHECl9a@KOCB8g_<5Fi(vLR7tda~Ne)P%Ab#G&sb|G;8 zgpJ#)eltCFe)L;y-TrVp4bJ@QOsQXF9hgIY?_R(8A|Jp86THFNy-zB?EokYX!K?Bu z!1krZbJ{F2ZhIN}%#6eU=K8nPueB#+hY|RM&9nx!RwA{LhgZ7`45+E@NLHVBd&$H) z%F7ck5|hE}`;<4>468Qgu0)7nCeBx(ah{082Nk(wnDb?&_inq%55?|XK7if(xI)}7 z$||AlKi?jEiE5lmiV704!S4ve#qz>&dXw|)e19)l&X=r(S0!(79}XX+Ok5&6XfV65 z@Qo_n%F!l`EU8Lp>E$9V`LJ3Ze+h0B()p4c_Z~wbZ)SDpi}pLrdp-; z)0qjMSG3rVLa0(=mGH763>b!-ShIQwvfg#I2Zz0Qui_MqkHJ|kZA^s8cUO|LKZ52* z^2ch2VkOR{S;4L;FW>8uSS$2IzW9A?@_Q)@Io0lzkM0;oyj{`9n!n+T<$fEhVu_c) zS0ee&<&X0?kChdh9k>o0Ig)(}La>;#EniFUR|i$zD8>0mFGF%Gj55nAM97miOH)9Q zDGwodkN;~)v=9D8-_EACd}eI>9y17TtnVJ3lNw+BPg7zE?Y{4yAjxFZ2f^))r27XS z8N%-6%lJ9o=`~+HY&XmiO&VXTIBXw1;G1)R5{(e)ISPu2V9qLU#TBr8^kLGfaEOvw z=e^=_h=pWvxvGAN_Q8CRUEUoz1V?^_5ktm`q~U87Yl1>b-GG|BXD{c(s>oz0jCg$d zZnl(4$IuBa2I;>|IH&fI@3gAiYq4^;t|IpSnGW$q_(Q3SMDt`g?x=MvIh@V%QB z;=!eOSdF}t$K;xKc>l<4Ks0|kH7l39TZM#zu=ZMrJkFq+*OU9aW&@(4iSaAtDkHJ`U{b~iA${BpXAliqHcDeA7!^Qw@cX&zr&C$50q z?K}}F?2Sg7T6&0&NanT2NF9Q9r`fU>m#!N;n-Ipt__Fw8YaMaF&9P!7D=?h0-T$XW zfud#)_qjN(9;hD8`&Pn-U)Twp5 zOC#Qjd&H;;9OU<WM!qU+^e{PO78l`fEp% zOOk|{5f2w-4`Ux_4*Rv%z2B_8vl~dIX~1#$k;Fhvd9ME}wuxP*vh@B-79Tj$x6QQ1 zS}DH-$W!7wsl0p>J5zqAXNx-z!@Qk>sO@4Y;RPRRjp#LrHKqaP1YJ?(jyLWBsa(D; zCEd>x-jU7AZZ?kE;gj@7ib!IIYH}1hHq%LvF+D%Rp4`)}^H(zA3n6b@yzlVLDOCNL z^sv{!L9SabY?ysVmo1|@3Sl>K^pw}7)&uiJ?^<+^fBUYT2{Cv?#0QMg+`Jz z5uMJoR#Rg!)Gwf4uIT8>Y|kEK+c&4h-NP}1XJa0vSGm>tlWl8JJTA5Q)t@_8Dn#`_ z`MIB#5BY5+7Q;_CZ~KFs#pV4!%Mry|ZJ9+Zge)RH*hx-W6RcceuWI!~W>XhJUR6^w zdh3i{$I09}!%fQoe%}PK`}S$C2myk|BP3PCl@$`L^mxpY?d2 zNkK~7M_39m65DGROCzW*GvV&ui0}%Ib@zeaA;~2fwl_Vuz0wa!Br^~Ql3OCmBKKxw z=^vJR+6wXbdok@~GBW9}6UfGmNID+j4|&~54mu2ChYVkC&J%BIXTCGmICI5x!1~30 zmmWnZ)4H3YRdbn8$S=;J*-%Eo6|c$k7*E!9d4GuHrQzAP7e;I4p|eNZh3^{26BvaB zTlt#B?lpWCb8{I@-ApaVdlAmda;G)_yx_7J4_-vB@+Rg~Q?(tOyg&sOGk(bnTv_k5cYue!l2?E3IxPtWUP_yaJNc!cCPb+Ce z#TR6`EbK6DQLt$jx&1JwS#BRyWysQy=iJ zAPN|}S#9OcE_YP~`Gzx{1D-=Uzj@4R?Nymcn}dy@ZdLb@)3dH{T{rxuy{&h^&)^#{ zE_6&x(P}!s9&+oaO-f}R!A+al&QYw4XSaL2s_DJPw+0R6bn1QvUmwrKo(T0&H~I7i zTdY@iQaZ4o;uAaWZdRYO*nNjqWK&3jStH}jZM$3}l49TDscqKnAzDWP#nF`+i3FFd zrs?y$BkE2HalJeYV=ivz%@lmg-sduf>A%eS+4SB=T`x3gk0)k#OIIa2MJ$muuhf?( zV`6%3dW&0Z&8Tamy(ZVINb`rs?p`scVr;!L@-^-&o8nK8B5syb^JB&CU4zjUQtoir|&QF`XC;bh(GN!_uKu3>= zUZ9h=-e`Y5WyOVx$8o-Pn}=JkBZsFC1s4vH1bQ|GK}Ixeh`H6_1glg}^LiNt5&hH- zM*C*pyzUPRb%mD~F0!r_yXh@Gxw4C+XZDN@-?7gwIGUV_SkXGK z5s}Vou~+v7Zs2X8TaoP7xKB*#^u%lR)JKJxWXFC&*4J~>Ck?i@ z-c^m>Pm^>G>yl+1Y7ZL8sM61CCXH}S^MGh7<`kBdL`?~)+a~+of3S%`k%IS~={tq| zh)FSHs?&%}byYR>cNOZ;59CVGi;~-Tx|q+I6W>vO_s3HXnv)J@{d`c+5*g z-B!kmhcYrqyRdOP=yhO@w9kS3sLZ>uh{o+XyUr_x2<}?t6yN1E$CT3I*)2ov1CIH_ z(Vm{Q_G#hz;L4nU8hJgXxbLi9E0l%FME2rUu}*Itzvg#V^&6%9JX$Df5?B?`o*{FEN^k&g*T>htHm!QAr40y*M2%*{iIqIMZxu>R`ss8 zhM4JoAB9IY=f1q>&x^-7H+?L)R4H0;xRhdq@8cnUcz15xe(~=I0Q}$s_1{VPe>?y{ zCANQi($9~2HvWG<06?|--PfN3fV0{CpR)k?|DNcdJt7eJA2Ry0M+#>T2F{)a{B=n1 zj}m<-c!=wdtr-^>MhDOwg4CUh_y%fYl!_ga~c=~=Ot_E>l7$48S*AID? zH7iL^mvi0OQ{(Zm>GzcI*KaELNIz1$27<3eScqTh#TmgudhupZIyC?S^3q} z&ab6lCX15buSG<+aqb-VhmX-nX{5&Z?N+!w-X86vK|Emc%5iUCx9=^Pn(KQ{U-?N^ zcVs1;sim%;hdoMX^I?zc_V!bRp7&M;d8_Iu1vo?|~wAx2K}+A)os*2Yf6_RoR$ zRdW?92C;$HzcaZcAg}f?vg}^?96~8K<$m5}{MP8_VIksjFB{Li5Pk0Jic5mb)Jp`q znQu+2T$*9b+Tn)HIQO~(MQhu0vO|O35=qbOLiU5Q{qjQPXlk<`p+Py)yZrN-*R0`DjRg-k3}L(MjUyAItv-% ze`wEMAT8HtGB6kHwH^>?xv_t+O`t5hSZcYv*3X&C`JmwjM?FrG4u|>9jN3CgOOd96 z@BEZLPp-aNXBzli%3<@GJKLR1gN(O)HB|GmR_q8$Dq{=kHHXmBJ(LzV2u|)LXuFg`hJ4a%X*zrHUeYq%N zZZ{$O-DaWw_3X3d#25KTaknn1GUiSWjO-dN(RL@@&JbB?3OKxZcVens~ z%Cxy_PLvx(`SBX&=5&eB=h^03g(3xd(__VA6Y*XHKT|AqKOsVLLS7kKXEC1)p?Ezh zAt_q_4;YP*9~~D=NF_T0iaG@PVp?-cnH@~^$M<-j-?oY$dn5+x^V*)OOx$z=}#epx;KZw}JC_y`<% zgZg%Q*x^NblG2J{&QHX1c5a5G!2-ByhJ8WJHk89%F9&`(w-_wL1&NhdbGQ!eW!54} zzmciVhYR&?JbL878>MD84GnDgv^(v(qe@@?ZavP206R1jx9{%Hs~;P=ec`yBYRmrE zPWm2_({Z~T`a^zUzr>P;Zh76V(mE&?(jUyOsi|G|f1w)AqD^?NUi~TaeINc`jP=)4 z$?2AVL_96AJ)FhKPuzJJUsxD4b0Bo_w$Ww8L*dnU|EzXrMAKjoM%CAS{O=TjjlcF> zs)bdprwvF+>!#0@!q@gxiGqUPc+h&csleTmzwFf-enQLvCG^!f3nTm5d`{mDTNqu@%U$i5D&Ank1mJkn_~5V~cdD zG!ctC30Ky%DQy>ekjlmDeV^J*n!`KF$A!2PQ-T7E;ATZ1;Xb`9^;fr<7tdBK&#M!W zUeZXb!;qTM$fD>F)fY7|sB^6u^Wb@4yWaZIz56TiSXi=FO04-dJpFvf=h+R*7-_6a zieed58DIMCjWO^Tf=si^@JWb0=VH8d10vaH^pthzNfr9`jp9p}ax3Z%1?f_T=IPC) z-yKM_K?1rBnPqtk@8o}&WR#b1G~W_3k~&W`Xx9(FeDBD<{gF05qcRDZ;B@MS@8AV zf9-jA@KCKnYNw`L70#Y)J?XP4{64lMTv34GQ%21@yyl9bl*Lb(o+nqATM9gAZf)C+ zgxn)p6@*&acfNH#i7i>vJH9wZDP3=L3%Todr(*+u%NCmd3uAG7?3|(f=QW`l<0kN0 z0Ubz{b?s$SH{jJ4jcM+-*Jg31?QHJPek>9)Uoq)w-uH=(;62wzB;}X&QgN5b#!(@N zd7sWU5$~foLYffIoHaY}9I4NDgp;%RnEj4w;GLe6Y)#}Nk=?I#7%8L8Uu86pb5$ih z>2k5L-X_N{6&Kk^r}>>orqF~6%d=lspm|f$y3$zWb;;c0^}}S6OJf3)W+xja!y~F+ zCi1E>wp6m-4bwX%vF+PwiknG$2SkMyPLJl85UwjialAaEETx8XtnahEPpW47`mPZ< zy8Q8zeRiqjQUIR2$2}6L*$c|f(ZC&!+X{3yt|MHtcT#viXIB@GzKwg%aVYkS{92_9 zlgPw04+RAd-I8C={W(jGfaPq?`>du)BTz2|t|y!=PEYo{rJ}w-{{w71`^w{ggpDYe z^mo{ZdQ0>F2W&k1jOq_;{0p`H{bkUfx+PbMIv~)1t4%iL4XPh@^cG9kopbW@>@`D_pMFMqqDf%8!HrWhn5TEQ}8dO8Fls z0vIa-A^@}mW`e4N5a0)NfdEGPyRG2qFa^LDgh4i1IGUmxp*uZWK3ntb)K5D(BL@m} z2tSpHzWe_|&yEdUMvp`QPzV%)rf3d&>Ih(Rf{@cmBhkhJoB&V@5`yFf6^gD01s*uU z_>q8-!Pdar%_ubqf;vH|5G@n!Jg4$e=70h1PNk#kp(r0O%9~D`qF8X0@Uu$&_wrc| zDEQQFs1gG7u|M_(c<9)_~aJV76AuV$R9qKx}x|{ zzzhgrw4j9l7mAj1mLh<4|98n~4nhD5t^rU8C1-Ynt zP{6f-H{XGr839KEEx@<{L<(T-BTj3erJ~!P_P~!?UvPe)=4lV;K2cNNMvC8MP%CHWgw~J%oEHLq{#>E!{NbH#19JIc;4F}QsF;Qt*I8Yo{NQ?n1A2o4 z`v$n@pzEAUMoBm=Bf-50CddnVCaRayeo->{c!3`=oMpgK8{1iB{CoK<2Q63t7y@8c zR43>%6xf!4>7vz%;-g!g^5I~dM01dU*?}zstnob4zfiwPaR?~c_w*N{{lLIzu(4wbbXX6)I zfB@h+XFh*9Kk%m0=?;co!Kcdv6|v9@3e7)TMsxl<<>LjyGwk=8M6JyK-r%3#Jr#ZW zb++B#@0<;+f4}p$rhmVM4oPVG_d9=U#1D8lKcH>YBoV-F1Mb8i1$_W^NJC-+}JLk7A&P80>a71ayS0KgjnLIL(4;FUQ6V3!0i+!^|JJqtjA0FBU$1+Vugv0?Yvh%7+3Nfe#`G6$FO^*aYAM zJ%SD?0L~VHLIMa-%K|{?1S9}q7tjkZN}w;Gt-v3>|CPI-R~0%apvy2|b^mJ#ef{4l zY9WJ-{|NZ+4gSg9KhfcA?LXY#{r%yfO6baem}i6UAMTl|{6MruU7ih1XM;V;@6nqd zilXbGriw;UXRs8ycXXc!08s*7kIwUeH36nIp#P#nBj{Ry6@fJYY%Qo&hR#Fbs2vLd z=I=<*{(Ss^SAuCVnBXD+fD1r+0Dge55p*G>00Qg;{S0l8MQf~CxMRj|4x5vABx%=(G=xMe;n~k_Fy{0|5k;a-5-m^n*r`U}g@a96*o)!XJ>D01{C?DuA-H0N}j9T?A+&aQsk| ziwgjrg{}vjJ^;%Dumu9pKPv7D0AmAc19Je6h`0I(k*8}M7uQm9lE2=0I_Q8mF7 z4)hY>{|5n{aTWmsKUO{k0jHQ1wQSF#BeZRx=vDI{>`&=zt+T5A;}WMsLP0om8NByTKWF<#m(e|*g=As)D);XD0QMss2WgIo&g1dFc5W6zJBU4 zsJrM1oJF#zp8rI+zm7}J<|TrttP4${eCT+F3j4r51N)Z`5*6=GlYUelg#@Ak5Zh5B z0&4>a5r_r&_)s;`{NGXmEuuUT-4|FJT{>G!0N5XZHH4yIjkEVakN`jh)ENJDWdH5@ zwExq&0nUydEh<{UP!!EU&khM}bYL=$nir5zgE0?G!x8+b1e_N$MmC|QCi zpa=Yu0C4I+nhkt`RgfrO1p^`=5LHH^5Gz{!0DJ?IG*l2pDT|K}Wzo}7pjZf$zR=@G z>+a9&&&~<}oe;E8v~5nyfLDM=9>1-L=AO1g?==9X1P*FYnnBy*v?ZWC~8#7LBF&fZ1q3SARTQKR_dcYhu1oJLu6to=Vye()z8rym3mU4fAR$^@b=ilR9P z0K9^SDFEo^1^oyCj1`F2z+MXMPEf#-XiNdr0{3iS59S3AO2DWMu5aKp_w;N4Xpiav z-SSj6uv>sfGJnYiq=5Ya`wRfQPcLAoO#&Pyda8df{ka0g2%yeE|CIPqhsNl3AQv@R z6b}YOFyIIUkP3h()DZsELf?Y|TOkq%38<|LEdNpdU*}_jC@6xaPylWLXa9ingFpu? z|4$U13!wrLfZ72+MzsWw3(zfqZ3Wzm`S<`?=wpQ6vQZ~kNH7Zk0Ta45x(v2P*E$7L zXKMVp2mPzo|1`FL&OaT~>8!z#p=NOA1Q5JN&lNnH2V4O?Pe3<-ivaNEx7ooJ3ubdD zxB&c|3I@y&iPAnC0dDX>HU+LabOjJ7qrDCkj)KkrA_5RGcn}QW764BGsTMF8RKf`a zO~AsaBAUVhIQ&~vU_abCeE|TB0dNIq0c33`EB(2L)({L;@09ZL{_(rt=dXYMJ0c(O|6<_$zyDVv zn7;#$%6?x0==*mOa3&CDfq(z|e^Go=j(b00kn(!OIoHZg3CO#eni@Rd&A`ue79-Mj zBx{OxM3neAL~Cm{4Sp=|W}m;Rf;z6B6m5?g7R(K+)-2sm9C9|#>3yrt!gYBLq7lLz z9q1pULk`KflJl*BRNrjg(8O$BCL^Qoob;;XNl9AwlApGA1Np56Z@zSG35kU=1v-2$ z)?5h&%rKiB3{q|kydnr*5=2A)q?-SK(c{ z6|7RXT34Qmx}b;i_&@Eo_Q^`Igf%sfZ5q4VLlv4SR#wg_Kl>HFX(e^sY)ayX^kMZf=-d2_h>Pq@=nw7~`A4XT;0#(TVPyPU{lZ+TzG$DXKj%#nH%Lxk0N!tBKC!srq{&lGuLR&_$L zagwz$uJNl#>SR33cywj;V5T~ZaPgF8?Nk2QVJ;`Cer*PA=Yo#F);v8~qZ?^|ae^TG< zglT-!MPoozoT>2J>!U_o58XE>V#=SpunhM-Taig@#7_2@9w}mE`?NnX9wFcKcTvvl z2Zv!=!FoKrg*WASGxr37i4i|E9+GsaKJyoXass;; z^W-MOw;^NfV{Ac8E42x4cXte{lb~-|11H!?O)YbKJbMX*8vtotwEfb481Y6GyX0v2 z)3$a-8U2jAzIWSfl7tOLd~4l=BT3MrUtdaWAI#G|>wBrTi##qia4p1CwLLG4h!(TmKXtzh$O33K8C;9w5CjBw~hmd}kZ$J^fQg!EXm+8?(`L9~@EJj9t>P3gGzfwAmGCveCwP9RYO?2evSoP5IM2)JV@%A zB-8g7i}L-g9nt6_o?nsNoMBUDszE%k9k?rU{7Zd= z!WL>ipdRimM=s)PJ;Y63D~dV$XzI4rl(2Vme!Uz^=>CT*@!k@A)`?!!;|(#|c#5`C z(;dnuFT);{J|K2H;Hx?ItQsi&Ot8kc>-x+z`VsN#pH3_ft5tj!Ke1P-t96o|$VEbC zBz{DZ=4d^4O7%^Vt|l19D7N=7;n9y2zEIWm%g+;H5Nk)1%e8X%R!$s+@?r`xRq1VTnZe&r$0`}UL;F#55Y@xQhs#1)=Ne}iBKs{+;ja( zJjbK!Y3e_Iib;o98NE>LJIUr!a;^SOtD*7ys}tp*OSJ*fg@dinIu<298$@5ekO=DR z-)R(7Q%6Wj8gd70{ZPXg2r{nTdA+8jb`a&m@Wkff&w_U~Ix~>+SE@lH{WYnL$ruS7 z(P^5&g_$y6KYQPj@(L0O)nVl+`P47Q#(G=lxynlg98pEuEpo$z5t7Pz$z_SCn5JjF z!&TGxT^@4Vy+jW_eI0PSvtwx58^QHjPf7fjV<(wsBB65noGT$NjbRYu1-o=DW@>h) zbK`BdWm#JthWjnMbgs`zmNF^porgoK*H(@0DBxIV5w^)JNX~j> zy+u|o^z(VK3kO$C>(<_RYRtY6{qdU9HP)-o7I~Gd-~pY;53^J`Jlte=MNN>qwn1V4Kqibns$0}yVboVVV}ON zq?O$4tPBDW zBHw56(%a%zoc&fY=jnC$ZNkRg96xaHOCX-N9ZrtYnk}`2e<9VBVLg}$C$5nwd-|z+ z`K}cc-o%U51$(^nhSMwE#fg@@DW(rt@m}bye+;QKU5=RXKO!5Sc%>Ud!X_X>0U4jx z=yWmM@0nJ)p2AuEt;W!BKVzE+`OSSr!D`QH{%6pX+S97Yt5ezUajpI!gKbzciH|GV`Xt*<@>ECZ`>KEp~is3b?cmM{% z`{8P@R++aiT+Oe7yqXD7lk>93SI1ns>Hwv0yXM%#;~+{RA8I@PROq?UXt#nP^)i;3 zwTd_c%XMOb>#+L#(Qv+^?PD*Y)pY!y7e(2pd>kEB{~QUp5Ck&~Z11C;Lsi<*m%^te zy8S=_oL?#}L#!Je%x{M3{U9WN(S@&%SiA&tYk&J{?wolnNZZpIY@17Nw)XjYAb`I4L)vZ9=z5L4O+SFFb2s9v}GRZ0zEhVNC2(cg}zs}rg4OcomU%*U5SD_thQ+B)=yYu~n z*YER)oS(`oy=*=GJz7ROsmvUnC4Fw>Q1x|D{@HTP_e)qC zS_89(;soA6=<)U*lkY^u2}DE6LCQkCBY@bm+%IaNuHUS~2x$XI_(6ZWJnyx)IsOX9E?u8kGK29i20ned^G7w{qc?R>%8|o1lEq zapq!!zGFEU{gN8VE@nT@%1CqA2~x-Bs6B67Q!#9t#Qvdxy1s)W3KD$YjjD%vZQcrA6LTpDfd9@(q+ii~Nc4cwTkf zs)t2HeUCobW-mxF+lYNWAM0ILZesS~(_M|z&+M=3%!nx=G%UCV(@MI`1ICS(DRYH8 zS4_%#j_O8}<-Py0b*Bdvj2Nsx^0o>jNV-dB#mu-`HZ>upeN|K6)(l$(V{$UQwZ5@h zakk?u(Tvr`h;=*|cr#;nd67$qhn*7@a4n$2|Ge9ZotEJ;(hp9uVIG-y&o46aEnPVO zuD|)nynn0X{UrfVsXahhrMyC9O@pPN=SA|AL++U}VCC*=M=t!NitSe{Q<*Rk zfDh@l@@N7=TIK_KCag%dTnN=e(LfcSa$-ruOzuu$=Ys6#y9PWcHiNie1=k7tsgbxi* zP!nd^3r2NzP6wInQ|`?<&iR+6QqKgtHhvO5@T-%m?3R~krM;>TVNeXgT`YlR9Q%m% z-S#6{2fV-uh>{*XNeHUr3#+&-EVuH7AX!YvJ(-j}QVanMEV8~|CusvQ{^RZaeagtp z3n$#t9R*tR4Hht8S(Y+kao#{90OnE2A>u?krtQww+jCoJ_G5C-b*Dp_*-8JDFZHTDYLnXRHsfvB^oW;8lb1Ne3#@gK< zO6S3(25M71f&u85O-l`=Q8cn8pKgOIF3%CJwM>9MJdf7ArcCO=5@Bv53b3B4XnHD3 zH;^Wpd*Ot$?I9~T7MQe^!BgC#R9XJd>Ns88-6AKvhO`j3>(k;j{|fWfU&p*86LtPjaTwn zXy-;I4tWA$>=|#<#CM`;z;CX8bM29}X9pwx2Yj5=d>Z4KYy;sx9ix1f1wR^s^b=_@ z67Q7M^P#@oz5dH+Z`6DgD^Bc@v7y;cC{9UWuFN*+%UF1AX>(^K#1z+fZ23A-?n4jp zZ%+@!^=5bJFV4TWec-exb0GL(hF`o4U9{xA+X?GY7TcnzFH!v^GwBlG*Fu9_t>g+Y zjE}Pe&bS;gk$kC&yDr&>w@2B15Th8SVa-G>T;;Tk8mA0)_DZ!&0ntSFta)v>blAC( zqqfUv1PK?rA;u(U8_<`VQ%)9zlO*y$goW?cugx95g_(M!nourMZqySa4VaxQ4U-PL zQGAD6Y|V>V?=~O9Q`!E&d}IKHH$^jV5^0d z+kPEgDgT`hdZpPBwd^W?EIor|b6tAJBu5?7iN2Id;}(SEjid3+#riDXt3XFosVpne zyW70W&1}|ImuPd6V!daiF+DMwIu0j_Yl@9wKD;6ebFRtTF|2l&?R698Q!i}vAtqM% zyVx?S)}wbD_c{nn$s+*q?a^VZv^nu5!7wV#m_2A9o%d`AEdg{2Y?Ln0iEk`(PhETp zcDt-hLZ8s{q&|z`0tM@BlM=ZaK^D^o;9rYWFaJo~&_#xDz#Qkp3u}L8Jm>e*Rd_eh zPW)czALHod&(?2M_TlcPiK!@?Z8l9~=Dwt}WvT?qJzrg;vH$T%x~`VsP=q|H886=e zSVUOKGU}9;AztS91NFZUbqW72Y~gOP!i`Ik7{|M)Zu=> z8vWaxke5UaRq@+dErWPkQ=e~-=2=BWN*SBBWrkWZ30_XqMVDay1_tvK^<@OL!R$s^ zZj_+Wz+ntE^kpC|i_$qgJ-&Nm+lG-V84D6bECwX3?+-AO z79))nTlfJ9$#)2$yg(BLKp8S_6o|; zv8nN+6;YI(I{E-rQTMuK`Er}bR3{gXjdtUn$;epGUJJwP$CJ=nWbGNpU8i6_V8IkD zdk~Y)!;9jqvjr`K?SZTTP2wR{-HW<%Ui7a=Be(IgWFr;<=n>^Ju2k&E|w5lg#x8Uwo`J^i!z zi8S2(Q;0_DuByjvIw9EH9yKy=3v`KO7^&{l>x*9q2&$flO0>!go9eqYy|aHshKl_8 zj_<%R;l(r$yf9Zz+G*gqAf$}QI_giEjRffvMpGm%yx<3lf>^^(I^G?<(N$EAT@+8G z0?hks1{2(FhAgI1UDlP`2h}}G!38iO4sh2INHrgM&f93v3*zBu)jiKIUgmnK1cYAm zXN|aP)Evy%=cLf-n!zA58ui@3TDt#27G84$OD`jr#zE@DoGDqSwnR5v`uW`~TPg58 zap^Jp)^}mcEo9lF@NGeSVp(R0x*2|`%!wvj#w<4Ni`I1&tBlGZ?ZEe)%q5QeRU988 zW-1iUts&j+s67>(Arbr}BF(Z~6N-qreL8qo%N^Xm03~$*z+XmTU!_3Yz2I59V26N~duz%L)A0wxQ3sJ3dv%3%Thp>|OSgm9lFRDg)mnnhk z{xM$WYG4y(W3`(!MvSQBGfBXm&+WRa-Z4*nkQJD2VUl%VOil3a=|phRn~rRX1vm<1 zu-d6O(tf5yUdrjyd?i%v8A+~nf>7)dT5UUBxF|MAS!mKL%fOYss;c8!Ka5S7__v*} zP+SN>{=~pF#6e`uePp8Ubt{IW@^Pa?VwB*V(9;{Ym39}WkRpwAs zCHxoN=41y}PhE7t@S>U*1tCS|k+)7k^3XNySSuw`U>yMG_-L039eNp7{ zXT;%B6{Io(YUsSMH^>M}_#wF+V*S;d|x6UZD}HLw$;wSq<>|>ulq3 zaHKo6ek!yhhjN`+TNnbB7+q9!vAL?g7Y{RM9>szWC)x>`8ydOvfSpq4l7)JCZ;%+& zVmW*_)VMiu9Qsk!0)fC3;-J!bXnR1`SH#1w( zr_xW&TUE6~|1yZO-QtZDYPDQr@9b!&U!H0Acu`|F>P|EIq%rkyg+>@+MO;;S&*snS zpNJUHY?u^muW#t+w6kL-JRI@+)(${zUgefr=Z-|&$$iiHZXE63mlLMzV{bdi=#%om zlY=R~wpwgWfnkzHFmVf{!r*Gr!IWxJH%@0qe&5wGPJx>KMz!L2cLi;k3d$Mg5i|j{ zxEX5-QLFBf5SM@c_Iz?g`mRic0Z70LRr2%giN(1^iWjmIz8y2?umTzRyqbRHS2)vE z+(hBV;2fq~PVr-uw@(N{xis6Qc#-?yOXk!)x_%$VOT9_2s79Hefvc(7ANu@teoPm) zgPq`7mO{AL%4u;Kacvl6TVrF|YEwUAK6UO9w^Slkj%<^X=h<$O3-aDe18f0G@fIg3 z=vquOmm&N!Wg8Fa`>ra&imgbO)VY3a<*7IuqQM_))M~~Bioc2N@ca!OMJ%qYj$YTO z`Z#hT_9epe_*p!8&-D5(a5+5&tJYNsrhPs!LB!1|SKG9B;5(TF|N|ZA&iJ)NrhwlFdT9dn?lHIcU@%h+4K%}((!FcT>mmPBF;tn zbtnu6SGTsPx_ntWkRMeU9^AnQ$$sa>`%}Liw5mygTOEwoH}IXhBlg*s(K5Ro+E&=R^SsqrPADl z&HW;v)K=kdbofpc)Mm`_xP~BZ9ypZ^lB`D3uCH8WOpez$z7}zUL(Hje39$v zHaJOd<`A>|i`4h8!HPUa@5RMR@^z_A?O)dlMenYHU{^Zo*u{{@v|=-B3gYu&rz>;1 zQ8s93Em|PFTHk8L!3-{M)o#Vb&~mz(m<8YD+DN;P(0f(|4i0?uN1l0bx8f|N=bpV8m*9p+sK{((uzW zGCHp>fT!M8gR{g3#Vp^-jOLGOCkrk)v|vIo+V~|b2Z`3_Q|fZKCQifuxw zY|g$I4V>Vq4%XDFf|CH^83pO;NOejD*EEkoS6jIb2urTD4q;iOSil2nwZKX|2+Z4u zFYV@oBu4h6VW5eBDd)Z4m^kW?EKuKZ3I!zD7NEW;HvT#o5R+1@wIz#63im+4%lY$G zo7OgMwV3_(zO-IwK6*?Q{8Fr)@UE!wI$R&$v-yEJc-K*Ghq3KLtj{8@E_a*Wd^`8D zS>~P++w+1UnK|-s#1SyXMOMrGY?1=uDfIEd)q2BAo**E@<*>8e4!Tf=*$9{al9C0; z&XhP)PG6!rxmkyIrOtmWHg4a6F=)r3``|sFVzj(g*`I+o$)vNl^(yE01sKM{nSTR2 zuKA7s&5=)*{7%dv8?6&LxHIrD{c32=YsbH#(AiG;M26euElA_EDc4n&>g~Vw0$A|q z^jJARZzV%(Ut$?yb7N{W7T%(n>}D35s1x`f6SVJ-7ms-y{d}iezWPzSTmIHV$yPda zbV2NkzNGv~yDl)6mT+@v7Bt8}k&?HM2!keu*R4QGko)HjucP6Vt<>lN$D(9>xiB&f zKB@{D=un}l|l9mvW$Mt|?ZumUsq z${ha zoQ+z{ON*~Ut{!gu-AsYlw1Wa`q;^3utTX?%F-fSNrpI^L8Cu3=>yB7*Us=Z&76o>W zBESe!@{+d$-L2G#0xEIH1W4{eT=|Qq+HHAR7JbiKJ!iU}FRD29n4vD4qZrN`_wp6M zAaY1XcE=?7fl^$n+Eq3D5A{0!{E>1klxlj+S-{ikn}sd+9iVgI72{O*UfxC8<(@oua97y^;F{$Z4{I-Q zBklsXr(mp{UiX`n7NfNL2Go0h#DBVg>kM?n{p(CY>2DB{j^4DgX0+FU?eA0TPHwrV@&3e)| zN6fU$@>MuViB#o~w$;6jEQX^_#W$SU-dez`-q8{?A1I^x*Kst&%{V~`SA(?bhQV#e zjedZ&1d4>QHr#6!G0d)K?viug*D4e8p5wyV@yM!$X5m3N`1|obWE=64xwj_OKah&K zkG~ywoq0bVl_?sCX`R8&p0b`0_c(TEYt9C*ewnXC=5E7*;=)l$JuW<`oKpA1y@Wyy zzsVqOGR(WpksKCfwzBDSOYOIxryAWft4nZ5DQE^QZiTJl93_A!2@krzn?u-)7O1&J zku-Grf$Yj^Q`3&|$!aAoMp8Eqd7oNXsLK0~$^_&U?i@Pheyc4aOak9Fb~mekDJRv2 z5w^3mdsJdiHUN(}jT|w{)u3A>4Hnb?Rg80|hqogI`BArZQK(a#U5zK?QXxGSUeaJY zLgO;UbP1^k(@%t;J~EO!>WsiocZ*`Qkx~)VOopCMxBALmh+>fF70!r;@ZG8{NVwgalB1 zjAg+5%~YXD(cBlLe0ohy@n^(n6T;LI)F!}E-KNUW(dF6<;9>%8!6OQE;j`wTi zD_x>k7K;Jt9$O@}Ed&){BMUA4c!fG#23xR*w-bi$Txj*J!J#jmW`K-x_JhAGNDk#3 zNKHs*JbJv!$XXAe@?d*oNNA*X8LVmgEf(D1)d5m{+*Z`TPdJw@>G>3c>dz6DDN$@m zJvjqJtm1zwrw-K%@)6%gX<-uT(@4DdntILxyr%ZmVH<_3FLrQ1bgB6TOeT*Md}JB| z-VwI@>)|B18F&11rognb%hRF{B)q^7SAIczooO_VB=zWmC2RU9Zxdqa4%P1%)RhjS zq$4juqhE_Q(4lN<3}XX0@G6DL+CNzm*29 zh>c;C@*}-&Du5NAA}K}&>V;yUhIzg6uA5nF)g+k4Wp!DRP-jK538h9;6=s^q4u;CC z@PqE5JqiOM{9pd+tEX3Vp+a?`uRCBv#c=Iu9yB7@Q zN&@}_NHM|1jiq@uAB8YjEsnO)pc0X@LR^-TdQ<;)B6Kt+B$4?um1|_XU{uap0N=~z zIayO!vxt9;QWxA)9NPWr42pIFuSJT>XNSbFM+Rqj^M?$FDoaQ_Oyd!n_p-YvD4 z_R?I&3f72vcj_7gpZp>{gE0-X3?7A~l|syG_Xn`qHXyQGm37CpnUf2%`|{vfa8QJqa^duaD=WtnGOfMzS!Gq$*6sKLOU z*<=BO+|naFFXRTCI=t=g^a6Vb+H(^$U`#*fq4dC1*!DLi*M#7Xtn6%4LkOt7Gw$s%Sa)u*NJhm3JJ zf`jU@j;?s=9!f@=1;dT4Rcli$JOGy$Q2bEt5D3jp{q03RzrXkPW4uzG8_w3}f*qYh ze~I%LJUO;D&aOE-Z_35NB_RFtOf7>cz>_wrH!bzb7ZFiN zxDsb?eEwB)2e9waL}WN8-4|$`)}Mr0Y3zzuTSekFNc>iy;_0ks|Cq!vD55nZN^ezO z1UVbr_kO6V+?`8rwng{YXEob?6WTpy-X{w%9%mPwa=mshd3IP6dQ3Lf2ci`vEO zu{bYeC@@&|h@c5LUS{*xJS+L&vj2W}=vrd3!|nnU4yOtpA6X+|-%yq>z{3AyNSuq%zA8&WJ;HW*8ZFU?AW zX3RzTl*8C}(Wn2nMFHgAb*^({qtbBaEX8B!6c_GK{0#|Kkr{!EtoXa!zDPpq@C8X` z%I~VCk!(wLT?J7-YRr(nd}7p`#_TfS>04&JGy2~&E-r?=rJ$_ijjrR&#Qh@)Y~9G- z)x+UgRCVDgSAU%2Agc}IUl^S){b=Q&bDQ`WKjgl?x zcHrWjA}u8^HV-#q9yPu-Bpa05Xfy9%*tsqX9&E4YV#!U6$wiy;#zCf=daN)sHB=49 zuJ=A6SvY%@m4RIhlPPB{y!75{slMvk7e&ab^HG$X8o6C zC1UDq>}2WSV(;`%xc;w}GqnB3T2)k%)lw9t5tbFw_)qUHW@BjXOvv&-R|x&Ta8){1 zHbOe4f6lXi7Jz?71J-{sdVrv_@qdWbe=hWYoK`~z2~$gRi+?2t8w}vTW&WF^WBhMY z(#6om(pb>W+{W}j4ZX69sjb?7ehe6Z#{YNIKO5M;XIL0I{Rcj!1c(6S0P+9@fFZyX zU}g!h1lR!V0QLX}fP<-%rM(Hj(beAN-{{|R04IPmzy;t6a07Tz{m+KQEdMRT@;~8U z{~Mb6Z|nd2JpLy}^*^;g`~TAP|MN^SbN;XD|0nim_!kNDeb9TKVt%;%y7byH z?~!rAS^uS!>fl_<^XquBZ)%JTBwjIvZTA@1!ST+?$??vBk?~9*`>OY+&Y1Bm5Lr%v zL*`H)4jT;X@Y5g(oRc3(b&nw+F$ymr6SJ3&u%C{ye+YbcZy)6w5jhqKcr-{SFBM2t zE&$~hgj>H+Vj#B%;a|1oX++oW2h3ihKA2q$3=ESWl3#?Th++bC0t^AvqiZ-eKMHdo zCXlnC+5&yk_&+H@qKoTmYl2`n3h zftP*$F~boZA2X z6?Buk4fBYnfwF>R@+bV9T(tm{EbY zv_KAIW!L(>P{4`?(BV&SfxfOBt@rQRG1UAJLZO*Kzww3^MS&_{Lb$pB(~N%)c`_J& z88?7%gTA)4wt|6&02_z{t#0+>ymkb{hJn5!QoPtd48ZZ}Aviz+9U8*bBBFu#z4qNZ zfwTnyPeWnW#;x?={lwI^wgIOqz?uheuEM|!yi1a`q2l> z_@B%H3I3c1U*u|tVu2wbeK%}{Ils$KRQp>79Mymuf`7Wxv%Us9^#P^&huBRH&6wWZ z4t@R5zVHiu|EPR(PyDE!{%j<4MrCgi_@(kg{}Awx;#-~EVIBy!(N804|Ap~i1z-J9 zdg}A9u4dVszW4Wyoc(_T?L`K;c=+y{ZIyZe#dWqVwH&@vXC>>l*( zrv>zDQ%C3LzaNcr;NID7+MEw~Y0wmDXlTb?t z1oaLH4H|&qU$B!6O7{a!a3Am!=mSIu2J!{Tf7m4Sxt-zK==tloFe=NCxGGpf`tJJnEqG$wtj>%c)N;7MDRE%W#k-_q0 zwgj(i905nh3IT6S_J&*Bz6)qW{ArXYFKW-!$XYkoz;G?OvFZKz2ZY zB#4sTJnfCcV@S2Lv&IY0XPh8ly^XLT_Xj1tc=Y-b=^4+o+ROch0-JrxIOoV_@fh4` zWXoC%xs&G}8%HU?un;%Zu8#_>0JJ70B>`Ii#&AAa$WP`-tw0_9vZLIfY zrJtS!VJ`awr(&z_$cjE(QVpFE^CIXpqIb@2tuLc8lr82?Vqu2wu*tQtw5sYr69axzrMs+B8~*5 z6(tT4L-u$L4||SQ1kdoX=ZDCiH3lY=bp^q`s-sWHs0y}YoG2Sp8H=4@>fiirkzTy> zL$Ts-U*A8e&~{Iddu}Si11vb+_OMJI4jQ610`hwHUblu7}#WP2yW_|u-`;AxCQ zcp~5w@OK_w_l`!&0bUIA0jP z$&o*`R~|vaqffIjN?wdqbC(sIe{um;P4o{($jsBEr(-xy$z)9_#nBft)D)a5X?vIE zD@!JC=dC)2_;TepDo#m*=nJ~w3Lio9InejMFzZ6TAI5%-MWETbm4Q_?3i3IVMoBHf zEuC@s(xc6w8(u4Lu833B2`17op~xLzQd^}6mAvZKSN(YQ$efe!Hp%@Q@rG1Pa7~06 zGIec9ZHh;l{#!F~l&TS&$YVtMHJ^*VT{`nTyB(hs#7PcPPpoF&P8`U1BC9ew2j&@w zp`Rr|4=9d{XHzEmgMUmO;o-Vp$#IC}86xQ+GEv^}&(VKhp~C!9bbLp%j-I6vx#hy|81uS?{_FBq(X{und26Yi*fY=kb)CM zgsQT_BHpkc$!A;*Hf5C)S9;iiVo?|((}6x|i`1NG`h#8T;x!mru1j9f0Hy4=P26z! z@7rCEWtT?8_K+e!igS=LUQ(DQ&AZ$MUw2VQ+JJ}G&M00~W;_0|v7F_~ZTQ-A%Y#2< zl;+$D!OqG2DZUu**HS{{_RH^4do9go`)b9u!x zx0IG=O0Zej#ZZqIAmE&Dmb`TsD`e?9MO{sZvIVP!W`Zc*oHCV9vZ+{9F2Y}ir@}HR zy8??#Xyjq^EF4c10|88<&uNk(A;NN++*CQ~F+EII`@jx1Fz3`u8p zVe$5jP%`(LoOJ6Mh*Un`i1k1n-Wfd->K`RbhA1L zr8)?qKJ$(T&q}w@@B=4e81*T1YoJxam>SkqPe^+tiU*FBQbxIqjbqu@qLU17Nv1db z>Op?~HVdWMHT!OdzjgE95Kju!Qc9w6|KzC1s^EjO$2O~(5z!;p#PddfL*_1ncBcod z=Yp@Os^NpDS#TmmSAoKnJI70k8<~}rO8Fkg@lYk@2eT;~a%yIBC8QG@<6;)zRnM>P zLh=}T4&NV2>E%|QVpjtE+z(mEmf@bAe2}hib9VZ0s@-MbWsRoui00dgGvTSy;)pn? z(XxK?1#M%$?^==2CTw+-f_Qad)k;$B!tsmsw&F$A?%MZc6jiBUT(>-P&LF}~Iq6~j z8%&fs+3djg5a0!TVLCs$tHWGIxyZM3mXt0H^FfGsp-0n9+9BM%ZLmmlXnXg!c!%GbpQ^5?{~`L4AJAvp~AXJlExq^5#j*GXe)SCYGf`QP5hwXka@f z*;jZmj!B)##kIDKe?)&g-zLo1 zRb8`JnKUVi4*6uuL(4Ck2>~vXnE^FiQBzGNJVjn;jzv~-(gkzuBd>l_GV_8B%l2_6 zSY;)v>T-k3Yy*_?yZp&JGxI&494evgvANKtH2c`e&He{O8fV>?H^fA&Zw$pU-VT>8`P`et8XrYY8PfeJ$;?m zC-gS6D4@+i!8fD^-*ph#xrVes?FVWFlx*mZ}(SEmW-#S5ZYG&aw(Ji}e&C^5sjsrGP}sTkPOFWW(y= zL9WiY-Zo!D>GWC~A%MtT*+NBgpcG4MEqP_@M!)0U* zca}h=&<67q419qXa{RDz5rwSg!xVShSLA4Z&BaRrC+YKyjGjZ*Wqdx>s|7P3xaWaR zWv^qgm5pvX;^zE6hSat<7~$BD41%7^tKQH=W90r4gLQqIkJusW zi;sX&9t<(5ry5aIgj%JmMov?sT+!YTFiFv2+aA}M->A5I2F?0|t|gjH%359}&zSXb z8!VTECq9UjPD67N{QK&>%1d=TfT1dMK|8T)qr(Op)!ehTPrGe6%?-PY6~$p}C`{?Q zq5@3JSuZN;hT|^>6x!C#HHpaIR~cIC9*1Ofm#)uE7ieQ(H1byaI^!L#Vxhb`ffdL# z`jA*HqS_Tjti$)!=ItHtEUR?iZXX&l*QH`=ss~`+L~J14Z6Qpn2c!>=H`^KO>tjBg zx4ri1=K0^E6I_#E6?3`qKYtNKh}Fm>?kMjri12src^O?k+tnGQVO1v)pbaJ`;?EW& zy|3|AR{u4iT2ltSq+q86#N3XVWu)hYaoFp2pb%$qg(EXndm<2T0ld~mO+rE6j(U?~*ZRZFIEt%ld6b4-@!% zUa7^7I8y;M-}I;hn>$~vj#HQUj5YE{-n!lp&Ekp{hCT{!XGr|t;i;svu=NF0&WFk- zYa5Ysysp>WU7@9)g6hxVHFxyJq|cRibRr~>dL1V_`CP+hrM zvf`@3`dvX=<3HOuvrn@dTOXfSy zn7SKkvNvapK?<3gJ)zjQ_KFdj{7Sg+U}eZM{!|8$`(nD;E}{oHElw$`_a~^OXmB2$ z_~PxtFBgScSC7?GFFAjL2i2RJ3}%j2QwBO^1* zJd%)RT~>wcu=Bb}`pxj7IXLTNOy2mobAW~_U+UGns}8L=ekxmLbiJ}H-)NINI9 zzA_cdy$ua|rP%u_kjB;zO~IOAG;L`fSn2F@M=$E$X*!BW~7Zn@q_Q1EqKHM6Y7Rgv>WRkO!G2$sLrVxrVTFH_jCY)scSEYK37v{QeleOo1UD`SsCVjS@NMJZf!T|PAxz}5Jb-8fkE!t!!BK-|b5~N7XBe7(TDCsW5U!6T&fq;Mob_3k41aAYOc&C>(5B}c*?3$Qz-FC2HKQutD~a> z!Tz_B=TxO=g2Yuz;awBX^7?6EaArgGlY3b^=d6@T9`XHJFf}mhLR5(G(D#k((48Rt zE76Q{lgLJDth)6nq6i1U)hj}=ju8({8+3Nra-WQVQl1iOwaP8JF(|wrxG8W=i4d-4 zdF^$b7XDN07D)(f)kSDKyQP}5fxdV~ZHlkx$;W1rx-O4^6`c4V3=^S&TAE=}l7`M+ zdouW*O`!qTm~|DpmS;DXOl3bhq4NH@u!=1a3=FLI+nfxW3bsxOZ#^0$cef6!@^{&^lt-(r?QWVS~Di#qmjidk$-vncm6pHwdyL~r4Lb6mMXV$*`7?o@e6K3?*bo};Oxf_e( ziuq?{9ksc#2@=@O<2$Is+F?Q=z%Rf-rO)T^VCN$G-TnoP|EuMYRj|1Xt?B^c(-Y#- z(=(Xt0Cy*LEUnEs3(x9XiG8qgv7Dy+yiB-#f3`ys@mmrB$w5PT`UZGm`5&CMgvB?+ zPS`gDEecydnW)r-YtYRsWwwD-S84Wx?}9bES0`0nZFl53cD!EEVL zh%)2noE$QXLhTV0h*n09PrvahyE9iSO!zuzs@H|bI|)?r6=cKmyH_7R1M-m|HM{aP z!d<-eZ?McoXNTMwd}5gs9{6nhTcv|Yyg}_V-7Q7i1if8ygU56mJzUoRAJ)z>xR!p~ z*Ri>>VkaxMZQHhO+qP{RD_pT{+qRwD?0287d(WvlAMTf){p&e;RL`oenq6Jb{~3Po zOnMg%T_+>%y2o!Y6?kF4(yuz>ro0iJpS&kg{Hs{Pa&QD%lFtSOEKNDYh_$h?*`W)u zuKlzNb`H5%fTcqe z$-!M{wsCv!RUcUe?-x!0Cx>*7Y9(tlh6He!jg~FTZxAi^=r}-% z7_K3Bx-Su0TUh&;vXXg3&4FHT@sJUGiy6YtPBAWp0iZM}P;`9_tQ~jD2-+(XJ8O&W z!brizK-9Hc%}Sn3(~_$sE}l}OEjo;wN6n`nq=6gO9D7L<{An3(3Sg|L6Q{l>3#)96!TXolr>k(K!5Fg4+!dBqTOZ#P`*kk7cfPk-cp6K5 zR5a?Zpw+Gxvb?f-y?)+!kKi9h)J93bAAao}9t%opQ#RUEJp?DY ztU2iLf-b$_I9QKZ7PNPSySY##v^%c$t}O4mc!$j;#LjYpKcfr>T^=`P4Y_kfM!z`J z{&^02nJvQK98J)k&Cjr}*^JTl!-aUL(WsR(B7f{Ca@2*6G&WvclQQNnK^me-_|UHZ zsmvUQa~=&{S9N|%yZ4-iftI4VxjyeLW^6J%wa!xL*T!6;*a6nEcK!x{OQP9#p(%Qd zJ)cF56FkVlWidp2sG-jYger7@k(g)vkPzA zOkqJ*AvzTg9uZQKYU87}21|EykPF*<1N{frvmR1Hc&YjqtOQs8Ie=pS=Siy5!$fIV zG=YGbt8fBs);Qs#D&1-|D-2NK#)-Ge&s_~f(19dH3Y8oX`x_ULfQdSj68D_KHaU&f zrJDT8*Ul4PR0)|d;BFz*_YERAZrZrMSb-NW) zAj4z$fnu6o1VZB6c-ezTl6@Cs#fLKvdJ4h>mbReSCy&Dc$B+^m5Mt#!|K_OpU`;9! zab68*kqJiz(OoM#>5_gEdsB9sfh`vWIz2*gub=hY&aQ`1O_uWgIdZL|U#%Oi0TP00 z96KtQpzt2*iLB-QVaF1(2R&iJ>FbZVlTs>9-pfxMc&R^O3|!AK6uhE>5!Yhf3)9bE zEB6iLy-wWQpYCC(24WeXvaZk?7i;c2bp5H(29HMMR)+jF3f&0c{OES>3kQ3lsnbSS zIEh{)UN=Z*>&l4AJHr3GF@Werpgx5j6OmeoHBm(^)%S2YMIrHEUWRnH0M52o4PhS_ zKMaLL3x*9F;pT@Xh~0^_H5$FQv+(n;q?u-(kePAP(q4U>(m#=ma%vo^F zVrC%dJ#{R_$;dd?AiU};M>S8}C>o_N!%HbN3eEdMD{<)Qd8c60%!aQH-Jf~lNo@OL zFFZ+Ft~WIkwXV85Hb567Ua6O55}Usu9X+5$F+a^B{pPnERvw^vs`YAOr!Aw-pXq=< zj+&4S>TnT$j5nz3ll^1xv{68M$DUD9J2v#|m6$GmBA~d&TBLW_@Nh5#&(f~d-f}dq zFxBjBaD^g^KfEgZv{ZBKd$4oUdV-mSkb`o~?(JsH#!W`M`=DS_vF0g5i+T=o9Bhjb zNOEm*I8XDbnaQA-k{CzTM2(LSD88_|3KvscLcfqaZ+YZqf^4q!xgZadj5{&{5v`IR zTK0=!m()at&_Ee&=bbZ_>7!SRMOJ5d+~Rm+z|I3)u5}-UKeics*#_UGE7?PDO#Lv6 zy5Lz~E|?cT3}roy*zNp$65&}P5+aA*N4)5YdHTxBff7@SOseK0tBS(47$0_@Ztqj3 znA7SX$^Din7F|h{(@h1};(BR~qpCG+2qytkZK;$Bbt1QT60BAsUFv9iV1uVR`XkD2nct2WONx=7#rYqlC)Y$Z;0c*!CiWlA zm%Wk|70u^xTn|TmEDShto#8ulp*0)}evh|&dvMFW-B_JJTN^*_vN~}EP}^$2JNq$c z`DghLr>WD4yf1R)PTac&t--+-x~lcgcOeeYu7~E7w>|I!FL-wm#f`Zp7tRAakf-AF zK~Nbx#RVGWPA6dJZiTZi)hI0plVs%~eDdwD+0#eu1|CXmGPB1cbGoj%N@K)M_tH;w z`MNrnG~{OXBq69LkkS{(n46^OAIurSvp(#O*-I982SzHjes9bt(nYgqQT=wfdTC`t z;$T0dYTFizi^q|Es6$eyEoKiam{P-^ndPE*5I7%O-*o-RBmJ3WQt-4EUr6Z!G2mpIm|npAs%;GDN17il zvxi2?wv9baIGKzjqTqg#JlY7LPuP}Q&Ea)90^pe(aeKp{!M57%e%$*Z+y5G5*QU*p zCl{Zpm8WfLvx&M4NwyzoooMcSW(nOS8}Q7wA1+gAy7w$9XJwb;KT82eDv5mUw=0oh zC4sqKCf`dY!GLkL;0ZQM5(qq}w(jZSd@|;Tz#Ud;MU~JIsM?3Sw7;`!;9O=*uf#Z% z&ZajGRg=hC3=c3ye{<#%uztqDau@NUkU7{u&vcmXxZv$9(MReDT8@Gd8DMexJZ&Eo z+=~I_#>fDvS0DX@y_3mne1IgwGbM#Hb%cXqCJ%+cdTDoHh&(iG-fwT5N`GJ>(XIu0 zCtJHbeoNDg?4Vb8G{w;>9*2tNXLI`Q>?@0|mLDS1fG9klgeCI&w2B)?7tV~(GL{y} z1C2rm_%V(}))P_6s_6-&IO?xXj&_GDxsK1D2Adx9{Fg%bGvt~jftLuziBxT;lxT_g z)yG7+mZc7lbyEoub+98jWyMJ`AG_04;KW^<1&^lTkZCO}S){gcc4lFUvC%b$<8GFi z_&@Du>0bFQ51kB`?ATdcYW*SKxQLf@h41w})>r5DL0UeOIoVI)=aP{x@$>qci?f`w zYheYjbDrOmk2+8}Y{scxuRh!=vz(>xRmo@1s4iwIs9xKig|wyc&81qKjr*%k7x=F0 zPX@?*wBoLA9|E-!h|3S?+$S{H=y9;ZAMX%8L8Or)c*mL2Q(YTd;wts5R&BwXl(0T> zi_n2;!r6C<8eM8gXQ&H|ukQube%E(s1Gl*xkIK{*7bdwKt`jlrf%k|@ z{ZUu-?zjo$r6Bklg{=BFDHIf^a*mTQ%>A3|+zgsG%i^53JB`|OZ{q8+Qx&&7M7zaH z({+fZT0D!+^bEfkt)^4E(N4*Da^dDfw{DK$HjRU-LQll4=coUCT}L%1pT5~BR9S-l z{OQyx@rwy}cB36@JPj0hLi`@;;1$P+&D*t^jGcp!k~qK<6EfJtUEr+gU}ugM%L=zr zA4ek~-!=a}aCM}n4lEh%)cyJ~mV&?KGy?5I<2BAMMlq1D38g108%*|u8neu#{$Hg$bivuUjc zM(!p5!!Uvlh|N6urz4Fn`A1LEBw5MsjAeK7!{hwM5B_D3=LCy@SA4l)>s`JQ;j5{+ zes2#xo^eW^NSE_bb(IWR(D~JycBmUMu8tg@C;3$dA}m$KUyPolC}UZb&R1rPK~Rhr zp+l@_Z$FpfmCq@i{_Ni6+ezt+1)Y12d(te0f!tA1AGLlAw!Q3x*^;|?sC=9v7>|z% z{V1gH3AhW|36?NY>!d^*%6*-QKymgIJXFAc=i0S2MAUDjX(5W2qwh4-+8F5kY;!UI zXFkg;X87zGbmx{fTww8`i3|kgOr!wBT{FF&sh+8-s#F!pb0NOai#im8kf&p zy;1}lSbYppee;#B=)6BLu9}ok50>Z;*zbT<&4xp@;LvRy@|(g{HqoV}Fm%}` z#TIhsiudx(<`=w?5NJ(0Wq5olcYIFL9@Xtw_R!5==5#cmn}#=@ktK7zq%aw@BPCFxNBVB!8zgKIwSJrE+cmM5Ew&3dd}mzj!!| zH*_88X8hPZyoD`F)YgzSXAt+M;zrzbkYk^J{1j;tC-pe0#z=}8Cki@MlB>>vvwrvk zQfxeowhQq8o!* zaaprzq%x_Zg9SMNyL~%~Lq&FG7aV@M|h+F?U0A@^Q09i@Nz%v(i-bv7NxH>>SKn%PV;N=5v5zJTyUU*|* zz&@`pC4Z?|KsXoVql1UX$3wtY*X!=}i=vfQfK7xJU|!U7K<6i*H6ZUsm}!t!-!JPZ z@DTLeD}bBli0Ocpo({fC-EOXJm^wfKu1f{Zye3_j?vG0VE+r@5WD2xbmD*PwKuzB+ z_-{-T@UwY+Yo!Z{FSjd!kC~YkRRv)l6{rz>nJ=>kfXc`Trv*L}8o+<`6AFaQqx9r)UMP8-eDR>~PjkedMFm)Z(nZj*D@YVCvL0h2HPI%iLLxX;kK0PC0Tqb@6N zs7$1epeh=GGqA6hC6=p?RqoXp)Tb1XPtOzAGohwlH9*@NbN43#$MpvfRv`E=G>mVX zhyMqn&yO$d9RNQ7jZj!DUD&1&Uc1jSZ}@E{=Y1-BA}C9z5Txr7fSXv@MQt z6fmd950dvM5*O#JX=D{L6q})kTnP&D3b!k1=x-&w-#}!mu-N~??V_r|3*EWSe+VZU(Dg5 zC!X~W-xb!4E>EW0DBkkm)&)pyAN>)Uw}=SLaODX z<~YE1PFb{fZcy8;Y@Tko!|1y+>7Wpr$AZzT_1ki9+#wo5*?bzL`G z4_}oa?+MQ;WN|!cJm!$=Il*Ti3NLRz_wgSezl@$g@hb7Zws~iKkiKYp{e9?thJSnl zf9;Wjd{y3;5c_>M(ElQWdM3G}QPThFd&ieJ)|tosBl!92^XFrYz7HuKw}M&MD08N67wLKs(J-2@Sv#d<6Xa<~C03*4_7`cFKYk=f>4jz?XOQW#8xT&ktY+ z8=YF%$#ceWVS@1+Db=+p_12Kh^$bFJr11=4^z-#lwI}B(3D0rG$MnirqbG*e`5x=u zASa?Gg%!3}%zo=Tjq%}RRQ4*BscNbOry*tyJ7eLIHy+fB(S@fO{W;sSF>9_iI}c;D z^T5@}^|HatqeHUr8ZF-2xi*!7lFk~>Plf*b;z{MG>jdzngT3_|FgxR(qJ;66#TA9b zNHkk(bxOEhLR|lmx!;hx>r*cG<|CP`pB^_r0}u(wpMeo%T?67?-Z4*#F{P5EW^yuN zJW+Lc`&~t4a-MvN$TY~(^uLx{H_L`ovroYLvN(UM1`RjbHUf6z_7!t3+y>m1dEC-= zChE1z1k+X$B8P4F;%>IK!OKt}Gg{{8&gKf&rlOw_rnZycXo3M+p^5VoP>}8BpV7x|=v)sa@z6gbx?C?x_B=61tQxD>xskc$3uVI+G>2j4Ugj z>96yw)V_~E=6!l{@KKIRQ|-vSTf#NwXj#5fe$hEce(m_9JH50NNulh+hlvHk$7<2ceLhs z%B5Y$O{p4IQg|~S5YySl!$m1B)>dmin_bR;BabLn+Uf}saO9`MZb35Xn-mX5k7m{q z)$$`e(ePl0fHF~(bwf5af__R|8yI>QP@vv;g2xfOr&^MipLxP(x>Ay*CC@>9LQ8iu zSxa?{*T|?sW2`8(6U-b=(@>-vl+>D}p?>GL4PmLe?2shJ-9*d0Rm3bCj%h!=os%RF z(#nM~>zBv7as4K(=3Z+-qv=hp^0p+v`@Ep{9rD_gP3(ex8|7uwHkg8yWfH+-b#9Kl zX)qRfes<45i2p8kyVP2tO*WF4VZ{^Kc^8N{P%g9^uZh6wjv9 zAg);cx{r4lmb*!V&#@D(eUmYJ@`?O)VB)4_B9U@8ZLkMY(YNX+RZecWOo;U9uc}p>o(* zA9^!Dg==SZp|m<|sQH*mnd2h1oQtsu_A@5^SaI0fc>t8he0P5}I9|#q9+)Qh@_i1N zM3C`l<*j9>XmP9f2u;!AH zyGc#qm;!^B=CY!&g1@zPtv#>h`W2#TmZx?pr8%du)&g>lfQr7{6G3_z|Jrco(}Ju2 z?s#n+y7s>BH}u5ebsvSc1k*n_w8s|wsQ|7 z8xQFuX8%NGURS(13%w&PvF=QVkRshR_#{n(m%+w@BWf{rr9?yYlmmG^Oi`u>S5tJO zmWM>P#LXwu!}Tfkna2t#xh~I2IWI8Km+0PzzI^P#O45O44V0-|mjc`Zh8wAI>Qtd5 zPMut0j0s1_N_0<+bFy*=z85IMOjdU|j+;E$kLK{?8zMSL3(Meqi5%Hofs5u2a%qL0 zUoQr5ztZQWDOq{|AmiHIg?tgrTjF5CH{B@4Q2plX>x!<5Pcz<7kxfKUDnnZ=tepE~ zY=CbMTIu~fi4PlIRc;iZ-V1dh$yOlah>ne-XeSxU*XPLofKn6XZ?^}JAx!2eAEp~f zc)GR6p&&9pf+MQza2v`5>J)3XIXxY(W5u!3gexc-q`;`RUdX)S@Y}~wH9~Pr3pR-@ zF=o>`LM_z0oy)F@!I9nQHF7^{)2}2o`DmOilHtGdI$OUKxlSL6 zCu3g%&U-+P^aaT$m17#qB6)P#+6p157?EP_!dJqbA_yc z6uVBF#n{?Tma{eQ63eW{L{eh1Mi`~@Zxv)dSSmRTq(y#)+b{a}*Y3ylF$g7zaz$!q ziR|%J55td@^s>_h5nXkDR>F33>MO2aHsp)~##hJo5zn}?3B^CJpR#KQ0gjPIMY}gl7rhTtcd|I1aTd9_Tj9rFsNqzuuSaM7m-L8 z;qWs_Z_JwuFljL@R^ET*WKEO-M?rL*qJ~TOJl19W4x^@RW!XxiEc5 zfn2+zE`B*)dBdt=i~M}6!NzcSRAoBAGvj2$cO?pLS)rd*!9BbWXD->-AZJ7Bedy2=_WrzR?h%v*1S0a& z4kF=?u>QUan!%+*WJqN<7=&$?{)Y_qgj#jdp5F$AqqG8C)HN78L7hz5fU#o*CTHV? zzh@2hEZ)vv{h+dR=7_VoggmMjCXWVA7mPn4<{WJ*0ZM{NoZ+tAx84^c@>tx z#)59QfWIpaqP%0YEX570Mr~=GqsA{|-Nm{g5lkwH&JK=5<6$bqqeq-LT86&@?a(G9G8z zv7j08jm!XDF7jm5A`O{U?O`#ketaG^LoCfK8F_h%sIXsc^@k}y%#J4 zB=A_Z)WdyuX9sxnVeN{o$Ev@!OJu;*9+uFQw{sJlepkIr4{Y*qkZt|TYE>*2Ybq(h z4gvNG7)wdxH8$O)P2;XRit(B~k%#G2(n{SL?yzuhZt3@5G>6mx%spUBc9 z8rCo1a8{}>@wGJ-^`aE2FndP41I=6F1^4+5{Z~Y9r`RT1NUt@e#)UH2J)qJn+O0CF zl1iV9tGBu^A?5k>++A;s?DMND+TvVGPLmQ_>mcYvlzSUIN++p&dqhq22*x|E8s5io z+y;~dA}>EczTfIAy}@owvV+L z$Qt9rN>Td)L5?eUYl;h}bz);VP>iwPE)fHWOUhZX8~(nCL%NEjeAG>sr8BPMBnaP= zT%+aM=@u(5xuO3=w97nWI}I2#GS8v%H1b0g*t$LeY_o)e2w<6CD%fUGq(*+z9BpsH zL~o!=Xo!pvDmD6pZTB1ILtt|D*{&(mu3?j1<2M;*1Y8Az7WL8v^y2OPj^D#|UF>FR zir8X@o3uGq#51GnFOit>0@NTDQxa@&51(S~L)9-9ntlz}I8Mr0sP2KQf@)}Os z9}T$D_1Cn!Ul}+XNS~Tl)GMRE9EF6I!lii@v~{oSQnt+>Q5Wg1k+e7~Zi947EGLV@ ziOLs<_z8wgDkcb^Ym*j-(pS-}`)9-i%^wTU{P+Cc)+mBPp$A)PNYhof=uj8nj*MNK zx^N2$vMVEJE4n48JjL2iu48WJC+L`n zEbZmpY8mvqCwhr2rTR3g{8>%eVpfN`&^m@tssQ9Wb!qUt{=6K2h%x>(1EB^d2A38b zMHM{P|0|noOVhzB1O#g0WG0*rZ-k^dH@lC@#o)(V081kVq>U5!qN~A8n9CnqY04b9 z$w84H$QnBA<#<&fn zm_jz3mRD;lt`mkoN=={Y4%js2v40tNQP+fvr~JdFa}s|C6i0WNqh=X48_Q%s?uG0t=^XE%IauE>glZ! z3aIG%ujhGU!-neLTJ51w#LNh3=E1BG73_a39CROla2N$87*JzOk0hXUQ7xWG7(sR@ zb~;>SP-f@s|6mH=SeLTlTvM|CtjxsByxHYymX3>;TPw|<#q6TPkHI3w@q!V;%cIs= z)|WKOdR{0H@|l!%iM}8&NbJrWXSmNTG6z1Jq-1a?qNjl$H{qf`m9AwGf>d7+N@$J+ zJa|4v%bC|>o-yUwJ_Sv)GMy?aWg%vkVSb2nLNHLKx>8+Luo#N{C?YJCZjzPfW1Mt7`JeFtR4oB9`+UD3|HLA zbF1PHz1$!jtfBchK*i#q5Yk0k+);U+5VgQb31>gBGPfcRtBEMT_H|oYXaQUGQj%p~ z6eH=HMNXo`eZ=B@%COOn`*~f9Rz}bIsQM2W>=`G3@mO=flIKt%N{y4UW;#=LHks*Kq`HBjYReIW%X ztM0}8-ObMHXHXG3?aKt6LR|p2W`m_nK3LRS8&(s8Vmo#~od`0vm5E~e-KnYzzh}9D zVth(8EU`k*;Zaw-{z^R7&X0tsBlz7hcxfMBC3z~A*nX%=R@04miCeiAJ{tJAC_kx) zTisyVRNE2q{_6)(&Up%FV>dc%w~m1rqqk=d2d{uik1eLd+Ev-RTa9N2=1c0fR4&N^*gB~_&H?QcfF+YcY*x0z1Z4 z>=gH1=kdklc1e(`Juq@7h2zBoDaC+0>~jp`eE?9x9$b1LIBb}R^JMKvR|oP9i@%EH zX7XS}OJ?Q-H-l`Xnmf8CJq`fmbtx;G>2M?pXj+X1C}S807yD?m<%5*@UZ6;NP;3Ar z-?W&qWf)eFiN1nH%)~r$duO?~gl#x0#KFzUa)e)+0(b9H;32tW8>fMi$w&F*CCXTM zL)hx4(@B3YsfnMuXo(XFc9?&C52D;d2+a|WVoPuI z7iMM_sA@oVm(OQ_ld=iyCqKy)*d!#n&+_lZaZS8(6t8Vl{<_$|4m07esBc*+jfFM9 zUtx?~?;RgIahYaC;_;HKiss4J+T$BymgO?kE9eUyztUKltuJl4oBzP*JWivqhNvZN zB0!*0L;fOgut{#-`=~5AvdBRX*ZhHKsnE5+DyfqPWH0IfLQ&2L0m?<}$v!!Ibwiyt z`vyGplymYj)y88j%DKLBty>XpGMk)p0l?bbusu#^9#+M*%$1mJAZqd~!MVG%B{Q3U zC?IfisoH&(f#Zn7Brf!k0hB9KhDBr3=tAEi&l;XJUKcnS`?DsndDn>Cs|iFI;ci^2 zfJuDF2o|BQ?a9q0`UA;`X`+a1H7L(9ox8YZ5(g`~GdLUMhnY_r@GL#LUbH*1$!Hk0 z6V%b#Ylmw}Rp%FWwY@G?p;y+$#6ZGE_ORhrxEvym3r9I6_uD7HgXp#JdV=8QwI+&S zL1UVpH6IdYHxr9CCa;E-+a^#pjRf1?qWG7X$n>nk(EgLDhd9O0XU!#goHX0OKj%dG zMXhvQp@x(24jHK}X$)e+wKc$_7?Z4-mm|iHV$`-N#hb!YYwQ)|JpdY+Quk6Vu* z0h%#HVR%T}ZVo6eOiA0pCNfR|4y&r}y8zEhXDmTvEQIL^EHSM~QaR)+BJKXWQ_91O zA-@hN+NCLRH&P+R$@ARiAh6R*>#ErMvKo%{+*{xUlm$4~&?3~5B#hTdv`mAg4rrbJ z{6-wtuMCp49ndbET-INAWV{9wuu-pfEFJWtv*{W=GO${7q%w4q_mW3veEQ`rP;Bj1 z=hH4(tIKO9fF^I~fF{%17(x@lL9ezT9D&TtV;8WAV|6 z^G=Ip1Riwo_Q@d~-w|jLVomhnhlJ2#jZTe*m`B7wUs>oHYAiuid6R>nYWMz#8wH`SG(q{L1!^rUij;49yyjcf%R*KZvtjL-5P%6 z9%X4Ne>S`D1v5dQ4;F?4ez!eF{Mi#OdLd?HH9{?)C*2kr>ce_zqEbHmA=FW0$W;Tg z>9g3L`B<4^pLS0dRm1_iA(Jl~v z>|`!5>?qetoT7Wz{q{Z5Pf_M1H*a=iPn)=F0>{!*saKvy?G3L4lUwmgy^W4{RDPwD zc0J*+kxB?PlOnTRtaqD27+1MeP2gaqReDe`-L-;7ImMpV5?CkLJz0tJrC74-0Q4&I zXd`@wT?xj>iXu}e-jg~8YnJSGdeR{~x?`c3%z_d5rqD-C#db0%Be%yp>etVhry2F+ zodS45?3n3wL-Zsw$Mv+M-l_xE?n%J{GqLu!!KxzW{5&MPc-VURL|8AZ#;KnGAUOo> zw)H{p+{G4wEv+&N$g+t&;LfOC%n}ajCc?hw;(|(J`YnYG!Jyn(HJlacX(NLEDD~R} zTv*w6;W2HV_ZHew!`f0Cu#hV&NXL1tuVdzf86B=6_A9pb&xS&%&aJZEAVaEocKJc8 zQpVt=nk>mD9Fa>tQ5H?mu-yYtI~OGbAH3%AH@k5mUFNyLqSw%u0Xxv+{mn?3ZnIQ* z5-1ul=bd22y|9Awtxe0G7w$Ovzg2_BnM=p*1)~NU`}UG3WX26zlk9*7+my677ZS(4 z!K0BAR@Smzm^{%|B{JXS_a|KQK6d|Pi}$q+9V^h*9SPOHqKsu;TzB#V@-nU^R*mGJ zIm|<8RZ2kw-MlYJq)rHB(r-#W@e0$;xQ-BSH2m3N`&X;DmK7xSXb z-dKvMaj1STyj~7P1J#sQBY)<0QjrdbI1(ft%;469mwWqt%~RmfwUMfFve3$ADLJyk zI&=RiQ1V(eR&do+aX_<_kOiUd4;OB~T-gqE92x>z+#XBJ6RW#+q`IUGYy*Q8!)_a4iFIOkC-FIUKJG<0pW%R-n{SFD=S61H7yzEmQDwdQ}kVuBn5jCF&C z2Wk4id5hIXS(4G;_{uycex&rPp1r_sV3?hdMLZEL0!TcJCCehu2FfpUgm#f!4OAW? zC=nS+?M8d0348=#Q*)}q$bS&9HA9dkV+u>zRbh}8V^N?94ZYH$wG+1202S)rH`8;NVY}`c_c~Q_k-d*!JVBl~soG`yfHneGHbt%hyW0(-!kG_EXrE zDD=ce^aWFj;s@3GRZmB^iJf+rmbhS-XO~&Nq48)MvFK6Wf5|jyd!fVu$In0BdMBAa`qB^lJ=R$k@!oM;UJ=AK)Ji% zoG50~8!}G!B(Q8}wx-5ZLl_xv1(jN7p{4Fs&ZU*JF$>lxqc~rF5wve-a--!$wRN+^ zPFB)%g{&roX@YuLzjW)ZZSp>Wua(ta{w|ufwb=E}8Zzq8MwQI$P}kU#{o@vun7{G) zLHlJFf(qNHpDv|MhbN4!S*7_b4Neqfl!DR_V6_y;rIv%INBOwn%auT{wr?>4#VnYP z61-ys7!6QPrItG!^DNIlb5UsWj5THxjnF&5Tt?mNM7%lzCtS!WQ&7tf4ZhluSc6$~ z$A>GoJgPY88r*ivwqOp<4M`|WWVUNP{ks9a)y$hcZ%VxUPh@~f{&P3{5uIXpr(hX2%OqSrFhLW?mr6^*v01bp~{U0$_!q9;Rpi&#QgJ%$F)n|);ZjakL^ zb$JinUjO@EYuNh_5JCOEdaG#y)gvaRveivy*$4y675@a=OAsR}(S-Nf*ToFQ`yrC- ziw|wJ94k5poB53?IBrmS5vOW7s!2hGOF1&7+JtipO@#tdc*#*g0&D8m^w2HjK~p3B<~B($hNIA6MuV+{0pA+Z#+m(IieS?uatQ&gvXJ1*rS< zr!2FKd~FRbW{=0$&ogMuuWI$V$eqyGJzAG4L&T+rd+)gIqI+zkuH3TgJ=Ynywe}G( zyF)#FRi7~TG$|lRwwJL?A(Jm5zZ`hNiHS37Xfza(*1X-bT$uBs3QN1@N^_LZhKx%{ z$gbAM-hHPT_%%HkE5y5~+*lh$yQxr09Z?;0eV-Y_uV!4#)`Bd`ks2TCeU^D2db=FM z_s(v3yMT3EM_4kTuZ}@=-pdBEZm*gGiISICh#=rQ-HEqezrDJ5VtX-Hn{(1H!~siS z{>`jF4YDxoD@nFRFP(4qw-j?3a+<|R@ITeHWP@bA!g)a0OR;OPF>{-O)Wh_tVzqzq zACl4ku!zNIRzH~Ge4e)yv(ZVeZ`Beut73dpf|)4}q08~Ij%>qR!a1uVYq&kAhK`iC zxVmqE`FL61Iv4MlYu=+uqK}y`dO;S-IRBlV{~jGr9@QzNb;`&;w*X`;D57#@CSqkn zP}~%+4tTZnxH0k0fio|Le$Y6$aYIhXk=UXDkr!vJoMA<>xMT_l#B=JsB9K%Z#h?*d z%DI^`pafGMFOxTB4JKpOknZQ7`y4I30u zN^s)gwW3*-B;dyzHg<>ljqxG2jbh>$nswsBavP~5gif~by#f_l{2?%NssatL9~HBE zM+P5|)N`(4{x)Pi{oM^?H75m`5w`Rop?AbK(v(K)3fS1U2Bi&r=P)cralb{&mADzp zp?Sb{hE-}q>g>0%EC$3O<|C>m(1pX>q;cWTcjRdx5Vp#ZYW~n{uPM}K!xPb{A3NJr ztj=<0UC81$qNB{a-a%2g{#Lr(A?QCYl*XjQ-wx2zyO>XE{hXhqmP7y_U~~{da39V6 znb(`?YXm}OdnDP99kQy2u0xxm3lKL$NHNGS3#8o(-8OAgI1cIdHh@So9^1#;3_BXY z>D{3`%=@=8+7~CS8HW$(PA4FIz`9a~pnLIp6PNjp&w)E>6X&-YV{rDYkwsSTtTIvu zGzkk;U2%&EoV~{0TFIGfXJBw@{N}_!0*_T8Q`w|1!KncqgBhIK^;Y5K7h~6twX!|F zKyG7ueYMkc+Yuzl8^L>Z2x}<4WD~93oSIMJe5tY>b7kWe!#Q1#T@W+hk{&!~x}q$S zW4Ak?oww?cWWf4=2bZdD$%Cy#I%*=|a@77#biYnQIbt7<8PYwl;wbS&hC=sPw z4&K|KQRIaP*wfu_T{iftvQb7-4Vo0t|tSJ`;avcV%TL?=-4`P{vw z#qTiwj#_M}29gFLp4!b>aL*u#LlCjSr0ofD0x9IFKgd$Z`Ud9^*hL3Y7B!6Chulv= zTzm1^N{UkqW9MK&UMW0AUyLicZ8$fanp{)1&(vx29UVXxza1Ly)e+Nm!*E^#5;4V| zGGrJ^j?pAADPp4BkeEyjM<4=&DWQE!rPUp7>Nxdmf?#F`vUrSNx%OBVBOLI z`)?4=ZxRvDM&BIje}ix;eDl@flHUlY(Elh3rDyy`IN6xLO`(iT-=)WcfFKlY#EvEus4MdIm;Dt~7srnmU@<8rry6TN)WV{^yau zdqV$NV6>v%fn3tJ~kN;UDe(k^ZaS-{XHZ{44yU<6q&s zrGt}|m7b%SjkTefgRP~W+rJJt8o4^sIDc=9tPLH^{-$jGcdaVZ-yqljpk5jO?e6)f zR+WYEo4WmbqQ|47Wn%tk{15Dvj^%%ky*7i&W}f_@mc-)=K+*(*s80ldy%v_{9rxiO^!`GIg1K_oei-s7SXp_u<&JVZ-yWz$;UgH$iL$ z+6XYlm$hw~d5*;oV5X!bBn<}u4$i^>4vxys)d2@`3Gf+%ouv(b4i&(g75F(2>kJyO z9m9-{@E%tRc7Xry4;b7Ks-bq#2ZhJKGe}9>7$93SYNn z$)`y7XI)TVR*)|*JUqN}EMX+}sX5_bKh(8vw-uneF52<}wk7EE20btAKE!7Qle43{ zZ!{IiV~GH!IqVa_w`nv63_O%*8S)Wr_s|g38I&^{ZdzFpu#_Vp>+@H|yO=KMyAvCL zwDV-w+z0Xp2V(!pw_3G`XnqELe;?GY9#B;Ps~fk$`|zdtyxtm_&yAS{1xEXl`$Gp#6LPSJJNaeO@r8K% zMRK>L_E{tTwH3ai+EREv~m(6p5kc!ohWLX60r?L7;mceuJrwerwa2I6Jw->KV zhb~4A3+r34x=t_gHnaqBE|=l+hqrbpDd3B4cnj^lMe$23q%whM{`Be5?&cPdx4IgS z=6-00hd|pG{%9{<-H+=_mIYw=5+sNx7y!rP5m;3~YsLpYJq8sZ@!jeb2@=S+-iOee z8bEdjw;vv${4)S2?bL@55Dq|g54Rr};PgG<8GyH=Yi3U#fDdl6DYuKt9|$0KU@P>A z?rM)>;0BlHXpbA9=gU7vN$m^T9@v-pt9!^6;^*hp@zCDIXRu~WD;94wit?8}=PAzd zy$oQ?0V~faviZYQ6(?8^7BB6Z&j4rr`nT3K=HVIKp3C_D9n~}P=@s~M>6mguQw!JR zZD^8f@`2|$rkND&9I{DJCpAbNDr9*f#8G=eJl?I=Dk_4LL$Zy2TOX5#Q7GtXOgg=a z#MH!uiaceE>fUZNZPlqltX1=%ay;wRl3A9?{YJA^ZscNFR;@kDtHqT*>)1g|njvB% zJhmo>K!{9ncQq!L4>4*kfY{n-u0|^6;;p{Zg?lEzFIO>Ihpa)Ns-mQcQ6eZ-Q`Y7y z1EqaJU(_VxDe~Fql4Yo6I|^-YSg{cX!zixW;vOUhBeSt*Cy!{II~;z-PyCWkL&QBXMb)L1=#q#2+LLnsTlk{-pi)U+q`6R$wQQaJPMc>edAifgBvT)~ zv;Nds-0h@I5G(F5L9rZN|C){@9W+l*n(PWWcP14=>Zw`wDy&!Y6Q}&Vk#&Qk&iSY~ zv)uIF4KFZGiHYyN)81jLChXIzvdsxi|7~pb=em>{N-t$G7th(Y3$P>HiUew8-rTFE zFpybO7Q6m{gg^cTAXv-#dg^6tgSi%^?%We!B0(QCu1)rvONo}2JWK>N(~NYTE8V6A ztVAbz&?Th18R|ElbVf`b5Is%MMSdkMvYBJy&|;&X%MVbVS>JJ4 z8mp@R_$ZoQUW4g{c$AnFYEy+EzHm!!JqZLk1eTixv3`76G!asTFIrv#Tzyx7jJN%g5q*#iOJ9tD}y@5(fcUH$+!L> z8@je=vQQ}H1Zk=tVFm_>=^4*Vw`NaENJog!(=S zOOh*_>{nUr=XCg4;RK;@Re`xU-?`@C)jPz4g|lau9=-C>)F8Wbo615DbCK%sMkb1u zm74egp3WWh+VYQxB}rUPm;iXHC^Xjd_~=tugy)WG%jugrOR)wG{w+FAkBg8a&nf0s z6D|uVfQ`xYyr%@VYuB@j>`PX&tZFBP)B%4YbBt8P4ljk>ga`a{D*pmW8?ZTsqTYtB z%H9^9p@Eg7y7WQSUxrw2F%5bCw8H#u&8lg1Ws<@uo_cjjO%D}X~)Cbp0#7s7~!|z_3QeU);}%*>1S<|u|b$SV3U7j zo=w>^{6;Q)piTj*N-xU*4yb&= z3?7esK2!bS7!|k`M)lgtZjgMlA&O#;HZVM(Yg}_MLik**nJEHmg>0)ME&sQTQ;X{V zA?%!jGYi`_oph3p&5o0f^(FaY+qRvKZQHhOn;qM>ZQGgtr)p;QuG&>|_^x&KRIP*c zKG%KSd90icg}`2M%niMB*r|2mddRZK4l?a_nfces-qU+hq@2VaO2FNuRP;uEOwiQ( ztc=A$tqt#exhJtQnGe0t!$U42juEUi9A?d?7Cuu|co^g!z?$XkU=ooZv5||hcuuJ|GL==n2gpAk;M|LH@E9Ls<>2> z{twxvree7G&d?j7`hR*l=h3s`tn=PWwg>L%eaC;W;{!PA|6t_`$3`tMAiHe$+mXx%@R($lR#4p z63X<`|M-FbA=Y4mxwC)s+#;%q@*Wc6Fo;8Uzrn3v4Do|ZVUYl0qjEypOa7|E`{Gd8 ze^98Yjma~2N<@pMcGo(1Ta%=Vk&gFJFB%NksnK^Ejg?qa(1X&2{~ae5jp|Vr80zN{ z0>%&%h#tTlX9E*l*90cZy?MK}{|;d}RyS)rXQY872V`+uA2&5u?+L>BS?7ESqxoKc z$-uHGM(0{y9P3s+Kdpk3jDJCr2As4a>t`N6Kbysh=!T5}Uotm1QwS2{)VzokhthqN z_zmUn^6MZHt6+9}Gf1bqlMaJ`JlaV(^et^^)!JDFFWjHgtSY*^`wqgcfT?BSGTrc% zk!J}%Rc=zQ-{b3J-sse6eu7Iw4{yCZJa4PQKEew>0JlIMp+%lkfMM0_{ms|iJm3pI zsYQEI^)=wOy{ri{4F_b=HUtL`;*O|f)T3sCr}nC+ryq|->F!iP1&t{&!+c{o5Jt{0 zzN=08XcMEgQe`q$DxHM4V4QLmZ3qEP2n|0|&a?hmeTp-zx|N#G1-~>h^nl)E^7ynq zS=8?+NauQ26|*oG#8R)g`_(+oGDpq9MC};j@ngH~~q-vzY(ny*(yfj>NgnLkE+f7R)D&a&y zXR~tZrE)#>65R<7+IR}FNXHR^%wBaeqD2}ly#o`X#wnCm>BHAxzvIdEeIO-29shda z`W4#kn%HzSF#cF=`!pT7+%$BU6&?Y#OkCB*qC#ha55a^Ub1=Tn7LrF-#FBfP0y0}^4$R>or*n@OfCJ=M@@<$>dO zc?y`}Oz>Dj^Yl$L7geF)W{WH2JEti(33@b2!bD(;jT033ws(@1AkCa=i@v5*+9y(g zc17)Zhjb)_0$*_cDq+@0?FB5nUAmN?MX5!s4|%_Ko^yWTBCc*q$|z?##453vs#23UNd zdRj97M-Nw>#)|DvTs7(SSL#E%kRwuK4yMVBqVS(eO-9=C*T)*~CWCN*Mkz?rNsjsw zSoXRWVlJNPIg2<7S>vd&l~^jDri&cI zOYoGR?%lGh;SN>a!JREE;;JOd(Ruz*k?!x>rOM$qxb%M+hmiB z2OzjM&N1eJ+c$B)rgK;%t!l{Wh9cmut;_~y*nh7oLp;D;xIgp>suLDb$DRok-JND8 z|26CJ*v$Wm`@Isa@6oJXy3OghA7cw~%AMH1Ycb|X*go-wk!y%G3Hjq{-8DN}i85YS zaH;9}HRW2=IY()H%{GKOniT>$k~A=)rbvEX4Pj_Ra}-mjX^V3n6f4?}k8~xYPUi|Ggb)fd*o>F#@TS4IER_MjEVw?9W2NIc_qq&n*fmFE#VyQBo8% z$!+mpMC`hcwmt@f8oWc?XPrB!+2#TCVB|NRzK^sywY^R+N0ar^j>=1>{^*y89XUSG zFAe52H~XjHKs_cW>;*LeQslw}^L&WmmEotWYB%w*k6i^-wn%Abe@AL2I-m>n&EWwV7os44z5W)3`BMBMM61}M z8eUkSEfNjJAZaH{IBNDV*lag_{I$331BqAkvr@ZxpKQ@-)XpZAeWLH$N@k+3Mn|mz z+)tgj5;Zh6y@3dG7SF#boAAAkcyX7|eQ-%_Yh!N|B2*!lz91;t?$BsNDFvr{h_t}& z?Zb9o>Ft;FV1S2<<9XXAH=RJGtH#yjTqwz)(l`sigHoz=+$dH`&98#v!K<@X(8aKm z6m;u|+h1h%@E0>y)6O|QPUih2S1cMEmJJa~a%Stp_!ma&VMBNaXB_w>?sPw57!D5K z+6n+Awq!WU5&!z*!7x|&QO%UquI2?U9_3=)!_hp1<88ale;fz%gxt*7Nq5Rj|2w<#?gjRB1BK{`Sm?ThKtyJj1ziUr+^tat7*MKz;Z zCHE71ZhcsnM7lrD2;InHZS+rNnRFPBbLvL{@xjqUDJ z)=|X|c+CC=CYECgxI@A3HL-{&ptZR?>#E}9W}%YO5CJ1`AG~vuS3fOl1#GzHvKIZ1 zaF@x7miQd7%1EmrR=vY`6 zAzjAK!QABCLy5HQwzYt|Slc-xc0BZ@@EE%>@z8_2H(V7#tooS?(bc+w4$hj&5>zQo zBEEL~goFzk>V-pw%q$>3g+*9MT5@2x$P=u`2h&?0l6YD@#+Kn3t~se){*Bw4MhOW6rd zdw>Hbx3*FrcA)S25+i@{jF2PF4=OjB$xm?F29RkI`|?xMWDmQ$yf0~e`)e-GCXiHQ zG0l9s*vabr)|4_a;1%FQUs45x_&Bu?pE{*E8%keA(xPv1t5N9a<%i=qaChI`%xfgG z;>{Kh$1$R{7;$NZxiRbb78<%rJHOQ*h>tw$R-L;~1c|2r$qVV?PQ6w1;@$Flo`#W5 z07Xj`dD(_kMD+G)jy-pk`_~2e{>wrPR`3DALBTGYQLgh);ZSl`cZVa=gvObuy;5CE zkqkX#cz3beN4-8}Cf)w(vws()UAdqu9xTp9mUt%ES485_!B&8O+%GM&sDQnHfPcEkD)&yKIhqFHKR(o zQK99@x=;#tn+qN$#FD-X(01(fWi%bv#s0V^*>pYuSlaA9h=C=6NtUOsWz&c;T%RlM z-XTZF*X@Z&SQ9=iKplIyUT8bx0*}dm)Yh$l$MTzbHcaf-vd{KpWB&Wk`?Q>5LdS#y>S$IPOXHr<{#FekVbxd2Xu)ez~=#Gq0mp zP*@TjUL{G4t-c1;CghhpwEs~Yqy$WjPDNu~gaZ>@!=xpRd4?pfDAb+{=(!OZN^+(bCigDCbJX>EE;lI#Uvb#zt?}9vfVua0d0ZjO3tf4Z`T`2iwF8G5 z!3!@#g>Ut(AK>4BMR{f9xvGiq*seFxpk^XVUYGNdzj{d=`S#F@!s*;1mzspedhZe0 z4{*zmZ+(<*Y|v=o$XJ*CcNv`533==JqRo{m2 zULTiH7ZFFGgUy0n)JvMeS%{9ib|_H7aJs7Zhwdps zYdm|Um{)VN2*P;^<4{S&Li@ylb3meeB;Qb0MrCePA9(n=)Uv{@&;*~xKEp0#n4Ckl z1IFEFqYay5yP?u0q!S}D6Q8pw$v7~aIwW?VdA_sb(nJ zobdIw6tXh1UhnjHUZfrRNC!50{R`Rr!8`w{PRw*-#l$XC)aG#aYjoGnloqgjJ-4Jh zB%(lHK4bDwvV4P*K1-*l%Oi7?x5T_9vBM6%?$raPLAv6 zlo&CERp;QCa{6y-xYFcg}ha}-v$H*h}e4pglS~h^9%2D zyLv6#0@CxtoK zGlnqd7|ybTKkVzbY&<*C?7{|&D*S2!Bckh@^`Y)#76i6853H^Ryvk$wL`A=gwBgXcOup9IT!&l+c( z#|lzvU3nN@>b7tJIWK`SlQYxeS~|CAEi zh~f(`iCfIgTQ2*NM-f$!4)AA!1??|!dLMpb!rmkIm{0fq>OcV$7n1t+`Q{21x@J8Q zZ~Gx_@Kw?Rh@`-L755+aTp}!v&Ec?~dUi|q`;~AV+c$-g5pYf?WzHHw#C2xt% z<7nLz7$(e0-gFH6=K=rAn> zcE=MJRX7hiyw7eUAp3!Rn()-E2KSsZmR)F{GYhrzTP(*y;xv-OdyJPyl75yE{PM8Z zEodQwz|86K)8@q_7htaci(gQUEe=eT;KbV{sP?fXl!KgCkn)89bwBYI5=)uf?=?5r z0jQA*VLgAsc>Ou2;l@J4qlVD=vtT*Nk`>ki?%o1}OwH3{O&fxCL>dW7XMN~%&Ar+0 zKD1Whz;box2;`C?A+da98U7n9(-R>lF^o)X*~x@m5{kd^I3uY?IpybhF}r4f3>sCU zrWc9g@&5eIxr7FS1{^bxUJk1F7Z2n1*gq1w1ct?fA!8ypCVQ*xjD-azvE=L|kbhD^ z6VU}Yti<9dMwtlz3miiy@yp&>vr8c9D)Uya}z)S3f5zN!KCQy590z~yBM9Lf4CJX5L0BLJWKi=@ z(!mbh;UX5BFqif$S>D`9x1t0vJh5*FLemB^-&9|D%K+wf5)P*^z1HE}QW8(qp(D}p zF^CJ30Og1C2+e}PN;YEyF@Ji}IzSCwhs~+oty|#U&-f3Uf}fp2`FezI7S~QGsgtC} zRfJ>-HnT6igfLi(6vmhM+C>!wt!`rzt5?1KR6D@vEEtQoSfD^tg^^deYHNm(vC-VPI`Qo-?c$1BKK*-KngR# zv(IYpH30yzfQEZ5vm}N-5UE=!3sP1va=s+|W^;2hr$dw=#P}NY(&Z@`Qd&=R9jV~G zk4$%;fb(g6nwtpt!|z)=QQy7r@9OGTl`yfd;**I*rM7`nwHfOUFFZPTb3U zsjMG{8%n~|B0il^$-`QOke%+0zZ6`;Z0(UQb->Kds$s)V$Q01zc5#!GaMO=iY>gb5 zB2nQfOHsh7PAyH0K@5?mE!IXD5o`zfL$XbPfKeX9g0VQ@@9!QN;30X_ z^DIO?_OF76w@lo35;3ykw7xWF%2j>pP=eJ$MD|0>E%|e9Rnst~>oOg;V>T}t*g}9I zyyD&~Q&V#S3ohjFQo*+d*#Qe%q&Y4JS$U#Fv!o1k9r8YBTG5q-%#l0oCY@v`X? zk8C4^#($21l~q$Lf+ZBihLdq7TNpoZmF@R0>oiaVBfH3imTM`pbK-8 zIJdsf9Sc~$r35ri!w%>1NH_$g9TyHyz(NR&$B9!y?O$w2=k}UsV@}`zo4ZN`K^O}@ zR#EB*0d_F7Bia+uL$t7|2DkMzx=g54oio_`)jmX_JfY8eTPvUP?T+|%vz0Xhouox6 zoQr7ReCe10?D62JN7W>&*DJrt4v~I4yyN9k5Dd62xR%|{+Yi1^4%pFadtVL+T^&zb z8ew{mJ4*JJ<~JDbs&!&{4FdXxsp7FXV+C4{u6~*R5rcx%!5@%K?Aon}a^B{lKUZ`J z_H0~gdhG*kS;Hx$G%a=`e-NS9EWj_ z8ky4YjxfFqhlxETp^XFEq!XhXq@X2%p!ury5l&4oKCDAZ96!7O)ois6{UGK*)OPVF z%9tC=ME^v@PQNhQR^KgTJw%b?hX{Vmwuf8W|wo6+BVcebTjH5g%8y>yaif@Vc;?-xDX%XuZr@X%)r}KK(HtuC~px|HxC3Pl~PS#kR zT8bEXY?t!t1aU6&^?RN+qk8jwH1KPW|9IhrJsZ9$EY!6}B1B{E-b`T}E~iXst>4#9 zF@zpYn$5}v)c(T18O#Ob>zj^WlVPl!cmrYo7AyBPQNnlbD8O<7ESQe+&awrryy@;0 zlPwhxu!G|kCo{};PlB=^GHFN#qS8WBDI`Z0IX||l9N}P_Ia~X#P#!Xg%V+d#?nW>} zK~-nb52`NtM=0*x@@b5h&**5&ekUl~v$4{0F``p)l{?W-owR{FZ&=77W@u#p_-P7{ zyOxWcu5}m;WL6Eq&AHL;#HZK^UElF8Q_lXqkM!6+mgv)#oKulk%5+IdLmj?FLVgDM zB|gA$u9lvyG!_a6F&Sf3TJ;aJiFp)(?k!DDYvBsxYiEygE@0D@`#K2(L7-Kj_5PJX zNJipfRe*KTShacAv-**B_Sd(IoHtnwth0dnRs%xaxQk+a5yspZQ%w1lY^|naKjN}H z0gY-HBY`g9X*#I$$@UQ?;22Okh>vC#BoK}#?<63mxLn|I1YO`#15qcD_osUflVKWI zT9^Ye`#2}?UbWY?M$d9QHRsN!`ss5-2%!$g}Lw2vN!D`CEm zF23t&hl)NeeLJw1*5>%?UoWT$Otw1_o#xG-*g9kmHlg|93Y}||)S98uTt~B4`VYz< zjAYKH)(=tx>f%Y6S;>TJ=u3&$5EX%<9m2biU2nf|k4CIR$MuIONd*}94D7uNZ?50x zEP>5|pH)az^WKQY8W)>73?{C{HN!vpot~(?wacE19*AvPGEx>*V~1(Ju|n{Vwf+4G z3zp~jc{&uzO~YPW{gw50Yli-w*AcBvWGCI{FPFTjP2#$w40C0&rOI9+8uel-Mrkr9+{Dg-)=8TkS#bCh*ZwPZ zgV+jKk>$wCB4NsYM2Gah%|f{<9`Ex&SeMQ=1ocqSV^;@1Y>g;lN_yimFW8k$%Dj+f zbYQdfDX#YsIcIS}o%M{vUp5R{_lN-L6XLK0!l8A)>(P?@otoiF_R~#mh&=TsmF^W} z-lKy(eW6Fk(M_hadxeZf!MB6#`PBldQbn*Xr-4NxR_;wCYcXIYEH7qdD%wcXLtDC0 zWun?l(O2YVzjBE}{!V^%d78V<3%X#;ZCVK>EZoSgr>Cor0^Vo9=!#kd-TOVHmPS1W z?-o1OVWDq9jEoo<%Jpu-yv+`51S4s)RSey(%w4&qCvFW&SO$OoQfj7D<+X~g?Ur>e zjj(BXt*B5kkE%LMJ`z9f&vWp50fPD2e~JKX51|5-vpf z01bImD}vK8(Co%U)n7XCTPz@J&dgAcX6^UKi_*m7`A0mfTRzHmRwsysJKuq+@wH=1 zBmP7yv!@F>`ul+~n2~c_CR{H)sM~1tT%OO15_E#Zx;rv#5H-b?)686pv?X;D62TJE zrn=*iI^o)PLn9j5()tG=L29r2t=i0~Q7W-asjc=u+8@ff4UnDuxjZ;dz$IE?82R`_ zUDeU)9|dW42b=y5iVM0oD4uGqYsf(A45wT02}^aE+^iEmIv?S_$_~zXoxMfqjAbNV zwK%EJtf=MekU;?$CSot5esbaQkh7sn`e5CM|DmdlsuK1lsM)|6y?6J$=A2T8$ec_R zP%pbZz1!hQ3t-(t_4)H|cd9m%L@vTO;K*aS0vt2xg`-|cB6?BFFMyqF4?&@>(C+9o znG-I+BM@Ig@w1XS%^>|LBGjUT=u)G+u~b@a*)Tg*Q)n-+&q*=uL9Z|yo_ag7I_&ju zQZYdMsH8?g^^iOOt9mv+?YrB!Hgr3VT1|y%sqx#}{<-?(!h@z;yUv$&X(|fMSXBtzu!bF2X zB%R!ZsQpX!%-^LJ*L4bSkCQF44>S8qIcC~kJc5IfyaSu0G(U*4RYjUgtJ*2*^5JE> zSKxG-N4hdS1i;Nb(fvEE$`D)Zx3*mFLIR$u4}qy*$|ztfZa(8u(NAT(Y48v_%tC2P;`tH3AZHclt00N zHpb6&7C7uKsm#k3PhD^<62clvN}hEVR$JIJX)Rg#VKlcYjd5sQ%VWwha(ca-e*LV! zrs@l_DEpe2D0C6hQgcP$HH*p5&!K(3kH|nuABxWpj0XXErk>&h4E4Jx>uX&UuD8+N za}4J9%NsIPE?o|M#!WWq?0MvSa+I#d%_fT4;Bset*VaqGQM1K4qqc`%&`CKuwU6x= zMm^ug*)d%DIOB)1uKiSlNk^%oCLEy498v+K{B)XbCw_*Hf{#XSd|NPF(hLFKH?1nb zH)Fm>X(yk=wvBmx?Fv6SL+-Q$&fY1LcInkhhOsiqv$m>sUic(S!h*%7e{1(@)s3kT zyf_KY*%xBaD5>0+&etYZVJfJ}g1#YZ^duRs>yJ&j&);*vjwhe31!EI(1gpuS6^f(^ zx;A0OTU4^aT9V)I-W-~ei-^X~yD|$HDv^qTapgrr6?(XsWvAOCPw#j6QE!q|@#vf5NyirMqAOQuh+Wnmt zNOICrmd7W`OtAIId1E=r7%qxkM_7i@l1Q>c&0Jg8y54!eGAj}PhqwXre*wmo+-!{r z0U|cmj{ivl*qhlp+SvaSL;pL==v)1JqbR5%q#*b&ZXhkr@Gl_nKN+KejQ=r4|4SRt zGqL@DjM2dV5;$OBXZr7f16qcE4-_4ZtyBnE|0$c*#Ei{MOdScC{(IzrA0P}614sj8 z0dfE(fC@n0($-WTU;r?*`Nz}$MI2LHmikr(M*9CW(zeF-W;R9u2TOei zQ-CwT1>g#B`)^GBe-Qfr#?-U?ml6G6rXI+~{QsDG7J3%8|8x4UNIfe(1Mq)~qzV5` z%goZz*#6&mE%hCZg^UetjEw)It9Ed-H`cd;ab1gYgixBdd1ozZq}YTrE1RW^|7`>n zi6V!!?u(2QIqRHMnS<}EX9{FFOd)`9_B9RmTUU^x#ODs+QWIu<#}=0 zNjK*ou5AH_yzE#8)q=FQINueq$0FLKR#b3q|yg~D3i#qT=+-+K2SYq zUr_9zn|zcR0go5MSeYp`fixdH&^~%(-^BQM|CMW7-(b!k0fGGTAoOVGk^hvGf&7~w zNK9~HJ#XK?gKEox80UF3l&9zC)Syn!@qC7v3qk`RU1F8M9<<${o)^L$UtKV;$lR+? z-UM+uXpo7_I31q{q{iP%nBn{&P%x|{aDI2hLaqfnP;kC-xFEBv;2U>*xnFEJUv@}f zADuY9iGd6MfcmJfB&e`AJh-6VnJav`L|&9ba9g2vB9IooU=%gpN-U6Y|8M)icDFp} zTR8%XIruX^+m}stG>|!ZP(Em|FT82kV19SKPLhsT>u!<6kECGRaSn=BjI~WXzdm>Q z&ofz^F#aB>(_uobW?$D!zLz5k_ACHIk6|k` zx98jHr9_C76vFqnzM3ysA9Ps$o2;`x_U?-)84W?e1K0`(^h&}H5TDO4uXaISOx!5@ z`|p_d>raU-#)ZHWf8lSb51Wi)vNc2`u~JGpT1ap)@o@=IG^mhVpFa%2#NW=KAF`!9 zW61EaKfX?rZKc1@R*nH6f#30h;5XAoBBnpgkwJF9eK#;DAOn$k6u!6RzVYsS1Yc@s zz5%h{E`o$MtS#GrcDJ9t`{A5K+h4z(2z{4uBnd&Vq;o;fy0vMMeZ*izdg8XOzO5FA z1)zmy_}GzqXy{0(K@&d6<+ralvDxDXZYt#d zrMnbK&mL|g*z$t?P#RY}26#|RfoZtx*@>lc@RDSUA#m+=a0oApJuEOPCup`|%?lb$ zpnJWdAHugPA`1ClWy?t~JJ#0_8bXWp66OzA&saqR7M{rV)l z6cVWhN-@yd?4A8C8TPYXbc;O=XfAe%c^g)X{zFIe(FEoiHl@WA19Hmfki!QiDR7UP;_x3^Lw{X{mBRuN!~t0 zSb5WvRJ@ZnJ#@f{N&t_CFP5MLSZ`Fx)jR83zFTea+HG!_^^aG=cDJEo!lS&}i0?}& z*CfGwn5HQxsvQfsNUC~TV$0xg79)i5wz*S=HK{R%~ry+aQ3`a!s1zVzoW zvJTbxC+gd>U#BQMqh)E*86`AhlxU~j`6f3&{_>W!nZIg#dZ55Hae23yzlcH5OSyh= zUBb+L%`=lLVU~3dWrWhuBHoZd8lhGd+t&GD1fPcu1hLL4=F-(nH%D5!+?Nm`=%Ts= z1=}jJK_yIY%k6g`V2Tj$peBD{uJdr#YgfQB+27`29w8273OPeEU*RF^i4tJTZ@?3v#-=B!E zUuko)Nd~-ku7#yNbWTHwt5>{#px7I(Tw#K8Ye2qWf=0EZRN!C%zv_(KWNz8%7 zHjX+A|2#i`V>(?|sJ-YH4H$6F;atd8Y6E7P_bfwf-?WqkGtgw=gPWIeImU33QY@;r z=Lro0*p$S#2D(z+xUq3z$6kXgu4`&fOr)Nmz{2eOZD8OM65vc<6xQ5aBxnR2ChB93Q#I$j^cXXL?zUY~M2!p# zYdN#Br(a2ttxm$fmbj9O?mHwW4+RjAsjrC#kKu9tR2n93`eX2WFdIX&gl!nV(<$(E zETxsb!`g=`8$c;h$Ky@+7P|it5vXqP?>DgyGi~K3=XKF?VpwL?ZWH?8?MkPo?Hilw zVYbPPG~Mfxx@x7(;*g1HbiDMgm~CUa{Oj`tNlR5Pn6*z!1m=*IrTWjY$LM6Z3Ix*DL*aLb|(em90K;*3vR&ZvWkJ;W$mo8+2&SP;7%Xi!8 z)57D?7Kv?F^9q3RUuVT%H=+OrJt$d4kia*d$h1TtA1Z4hJ%Y*Yde()H{;;&Mn##3b zm0+e1)WS(QCKm%-@uytMyYs z$8t3wscY#&j03vVAgwIOMOdBk!?Z zv0L|c*zfyV7UGs-y^P_sX@lD$tK`Uc|EQAL4^m|}!fUrF%~QrEJyHA&xp-~6jMGZz zgeolEW#JemKoO=ac@rFeY(VH$3bkmqS8O$LJ3?2Wgw!l4c|EnC=julED?(Jo^(t9- zK$St`qayfN(q-EQCMSd5sM)7*N}kS~E>xKitB0(9sWNhQw431iY zHJ*(+8rOc+o5nQRoY$WK3Jk<%tO~C-`3ax>O%&etfSA#}fBmv9P?{fAj+~Ir0Z*1Y3 z7N}EPWTQ`(@?An?#-xYP8vh^Q+?z6?y+bZ zV-?jNyqdHprv;e=lgJB!M3VV@oqI-PWrpHSjY_1pbkMD0Pv3G@F-g47;y(G@Qj$NN ziIVTFp3OngVJZa_JW8Cq>X9reV!RDilJLbo9F!{FOiRlI&8?GLUq(Tv>PPnCu6h*v zRVkUhl!dg(T*DeBqj=b!=`RfK9c`wD-Ic{w*NSwEDEGzW+ItDjLN2Ps&eEz2Ki$nN ziy3LR$*Q$C#(``}9C%U(cY1YD>W8->%G1wB3Z{5m2yE&V`f0`{1UWDM9=-Q`cOrBj zd>=~9L}WdjEyXcDleT;=q8I+=ebJ_gZsMbCgN=OcxC5WP);_W3$G?j;7g8ZhVzM)D z4#FMhVVauNRhDVJ`4`aK7;~gc`cGv)+Bu>S$`5R0YT4^APZaL_T9A4vizZvf%UGF) zIa0Mmt)EjAdF&?t?w-A~Ljch?H>G(-UkYmGicZS8#`mN-kmBWcL>@PsK4uG3JMkAa z^0%q>#`mQ&#j;oB3iOL~Fa$_ryc(Ni3doyXogy@r4&_N$+t`DswF&83whWKtAgLA# z=Rj$U&2qWL5L9nGKMolT9whoJD?nFHJ%|*~x(+N;`c@(_{Lw|CYl0w}Zc~IjD?wh1 zM9BIsIZ$`=1^N+lD{6i;^^iOMrS_K8)d}msK{)Vm=CY1oOhQULVfR+p+G;*cz@Hi6 z#7r7ZN#$f(8S3+SJTUQ28G54-luthNJrSlE5g%Qowh@^trC8LS@8XgfxVYyY5G*SE zg(a>~m@DXk8@*Xi2&6|gnIe+2HM+9%X;Pw&7}}L$B~)@!ju#007h6Wb0~Bf*OBmFN zUJOQ5AtrOfJX*~3)!x$gEmK7CR=kf0!=JOsJ!h^YEKj;)_F=}cUD0-pFJTVdBZ@c> zz#3!4s$~g9fQZsaTuSq34H!mow-e+{am%|nTs>!B{XjzjOS{6+Y84&$>|$bN(W>mF z8=iq9`{cGbMyNxs6(;wq_vq9<+>r+EKANu44^yv`SF=z*cQ&Tawue01f|>HfuI!m= zz;VUQeOr$tv8xkzCl(|2C~_A^8Ffus)pNNx3g9Yg4)+@;*jm7%rIhFO4g!!1-t!n{ zyAu#OsMSRjFpc5z>1A34Vj8df5n1^;wg-6;-4N^t7k`NU62Owa45<+dJe57Yc+5y7 z;1rK7Xisli$a0mu_Bnt4#l5FGG)ye%4Yj7BbqIhG>XmqaI)Q}19exd-8iB`d)Gu+k)>Z&rg{xQR=1Z0inX=C8uO^@$qBJC!rlCgVj_&?LA zv9F9$`f%cujAKXgv5sF58et*4sXai6M^5KpPpyMEf`h4H^GiEASiqSE7*jyzmB!eH z$tv#L<1pT8*$(ErP#kIeI4i|M8sB!2jxLyCa7|G7NKjIc^a-~KQ;|r%r=aI~UwQ9Y z;$-#a#~r*Xri${9B!`EZMUPwxMh%}QQ6Y&5=xe1>*tlh3gugABybi;cLz_G>1^VAZwHk5pZ5F(D+UK`gM6EOAmNynV*`*`P}UFE*3&hyai+^ z32LgFIF>~psT%~D$4@jfRQ6)Nm%fpBw%ccnEXe*uP>f`os7a`P<=&aT<@{HuW6*xh z)mGO3)>;kQ!yY1ARiKo6dGyOn+-CfdJj{exsw>K2s}B3B@37jfQJi4ciYhiBzPs)Ld;q|NP`HWf?IAiYTt=1J zu)hA2>kC0_4%Z}je%>IkkkpuFlgvn7j|0TRzV7m{4xT76+!Fffr|>Fn(lPWe#&jdf zAkPg#hO-dfGU6{!c9zO&q+F($KXf&Bj!qs4Xih+lC(C&ES}G=P)!&B}EKVqUC7vrX z+ZJR4PS-QxAYi+uj3LdU-bV1IkDu&<_&@oMr`s_x|B{QMEF;r=DM73S0VU^bZ($N- z?{h|*L!AQ`TIa4+sqG{y-)|TZ5h!VtMP;-(^Pe%{w0xfX?!pz0Se?Ho6ZbuBhd|=W z_jcPrEOWlOFJnwML{-k?nwgB_KNEs|k*$|;6GJ>pAUH{0?<8Wz=p#?E5oIpDxf0A} z!lAdXvIjtp4h1taaB>6AJ@#dPm-}5r>>aLy##1KU|GTy-v#%u`cq4DZE3TqZ@sVl(wCEl@V>tg{(sTnIIV56k(WQ^9dWl z=YbX#F*_fse=H)UmEZ9pP-ndgl7a_hr*84Q_$yb>Q}deR*^wRIPu`%O+|HUzf7x0&hs%dqL|<=ivbdtS^q3w}I9H$nEP46rQZ}hy_pV`b zl57SgQXVR9P%nDQzRJz4XSG$xh$(qqyfkeD4N!Z~31t3}se}-w);k{Bf?|_C5G`j+ z5TDPK=b86c{KT!>&mpYP$?Fh^g?Y^2E|>WyQyq=AV;+~W{-T1v)sA3zV|~j{?UmQ5 zTTzEz;pr^(m#V{+5BK&J-EADvg3)}L&78TxB~F}+$9fXsx^v?{)9$t zjnW=^BAKv8D>*$V*{Ed*ePX@?JdEhNMs{u6Ck-?zO?gL69v(mTBKrTvAfkPbdNCBe z?#I^iG>f42M@zQnOlf;~(f>;!D&IxacbIF{oQeZPGjEk)9A5*Ot7|DeM)z_&Pgm!T z4jIs|M`5$EJ8yvN;_D2RG$C1wC=XY1XscDYpVZ(IV5hi#?vB zu9>MhB3#!^J}L5v1jlMp2hD%dR2`+N%`CV<`fRp%6uG3I{a#f+wo__Bs1XfXkj<(^B^Jtt zJ`KIzI$q#|+lW>}^I3<0nPBoHO`MFvS=IObHDB6)&kE22D0_q~N!9t;#m(kXpESis z!piC&POwMmc;yyxd=`yIvV#)+pkMTC5J9L(nN&=FFLG|ZD1+-UZ{lY?H(atPR%VG# z4Fg_AdI-3f^Z_*yhaP#wJ&TI;>aP-sty(~vo1F@lEo9iU@8HZ)J)l~N`v}T8v%@;D zKordzp!vwWqoalU(e!Ue&VOZ3`A`z2|wOkMs%nGxFvzk|vUrdy#C|;k#Wv}?YPZk6SQMY-=bp^ht>$MR^jJ)XMCI- zyv6b6T%jS{s6q6}fD%J*q)VR;c9}Mt(drSw%BItrp{blkbO#=A@nXPhE?OmBZpJam zLp`xMGc(4@7;gm~?_MUbTUjBnw9Ut&RI)4n9f^iH!*z;=`?l!#;-V{#BJd*PC4+YY^e-D6U`JEw;i6AxQZZ84OKSmqJ(FJ z$c>BJAStKG2&P-tC?}7U=kAveGmiTiH=b_A%cWv5A^T<9x2tFv7$H0P2ed274VZ>4 ziDI_nmh=l!)zf1EU%^XP!dhU`!7xO#d*PzLdJPSU*GcWaq#gyruV@$J|b@Y zXU{3UcNfIQSLnT@gxx7wn}Bo}C1Q)Y22@RHRWNj@^;Pp$>yW6D?Al1p$|J3Xy^_8Z zB=0n%6G=zvBw)^|@fu=DR~0vU8q1j3CHgiRFDztoqCIWP`P+?&vZ9U#n&yA8_D)fv zgn@cx+qP{Rr)}G|ZQHhO+qUiQ)3$BTxydARvnE-|Lmum?Ry|d%+WX%haF zVOsdR!8=Nr4e~c;rC^TOly9fqEk=lqLRkrm`0kof6{Qz27VF_l$Pre`1XY~H*t3?4 zLs-tqcoKSOUiu#sJCrBaB=+5CFs+y5nPsv>+G~_<3>;+TWK?gp$49HGZTF2p$ZRs5 zZ{Jms1K(szI#s=Er50VRszR7%sfMIbCLma<7Q;u>DOiy4WBoe#}&kfnn z6R?wZ#vlEPdoyLt_z#pvqOk#USj(fiYMED;uJtP)tEmd^)EQ%=1h>-yAoW6k$2Fhu zNNkCPXyC2sL4{-zlRV-*N@;_?;DMWk=KmA?$^M_%-v17N%1H|c;Ao$L1e~2*9D|^! zw3Gw_Ai$kdfB?@L3`~b&5%R$eBTE4PAk=@*VDMLg;1H}qcxTL*HsRI9(jJ3IoVGSO5SwLHv9l)V}Q?fQA%&IV^t+az0F$0Kz&9lRdf}dwCAe!w>7PCkTU9 z6F_@NFv$9EGjMS>p{=}?6bAnck_Eg&uU}D12{J#pEo=xuoQ#lXPInngU@%j0L z#d-8zaMwmeQ#~+ufw-4H8wjAoqyIX9FEUuU)*qoC!_kNtfccg%qMyjiew&2cR9l38 zpMFS7*Z{&Ct}O#L1or;#DZoFHl>o5l5Lb1ED}7MwfPQ(f{#i+%yN5qFKRggnpG(#j zHn4844Z$8l2Ce{F<;WoUgmse>{Y%qk^}XbP4!~PNwtk0RMASX`0mRwe!t-wZ$bPU5oScBI^H;_F zQHSB6hJMUGeExNe(0lv5*~`)QIL~ywwgBdD`~3JacBZDl;G73atO)^5{FH5hfP$)T{n~%?T7Jrof8`GP%D#4$fBK*&y0|#M zC76FFe*G3xXXVLn`=D=BE@Qjh{IR}v!0Uf$S^d9`HCe-9m$%>jnk2=iyvW4|u5MPQ z2WG|~4?d~kM8<`B2-q^^i(9_+GT*6dUpK8}Q^UR52!FK??O-}ym;7!C!JGc|B-rra)A9AsPfX8aeEgnYAz-mhcDxr z0kyLkI39XI?dLY&^`YH{etc%W^a0YAZ|Ctz`hoWpzrY~@+gW~Mf(QQ9U;ajFs~}Mke&1UC9fw!_?!?~9 zGnNLmnuR3XHIyl2T5dX57S^I~NaC@&Q~dz@M8E5*;4%zM<_TnvJsV1Rb0qp!ZuG`r z{eT{kvxA!Cd1-|7u0eq?5qDmW%(X}|c%4Ei^W`96?f^8z_;Vz>QKo;Ju9K>UReF6c&z`ot^kt?V>*4xl z;Am3ifdUX6cu7~{Az5#-n1EQeSGMfc1q4fXxL#8rl+rG5XylvL@SG%2W_gC)(O|S= zlQgs9^f6-KBWf?}#e&2Sk6bB(?Cv}Q8!L=IIv4oqj))!}CUc_cetu$&vs9ac9Av1T!lX@5WqKU3rU(SvP(Z z6Z4K!ON&N#%7EMv>RZLFFgpfEUy{44MTjn^OeNexajLS#=zQDk8XRhJ3pz^WRu?ZV zo%8*>YI==lI&mJl{-2)Qjm3kn?8UQ_YV%LW&Vgp?XB>M+G#g**Iy=Uy;hsA0R$s1% zlE!G2=FO7+HKBvA2uPJCL9Nj9ky+W=b{c>v9L@*zI+(XhdHZ0N;2zH(tcMDBtpMPD zrXgCVG4L%k%`DsGm$`E3?bH~B#=$R_kMS=?KCkZdaY2}DAMI~t3EDNng|AT|{Mg2U z`8Yd0<()cEAAq-bU^Wz;iyH6iWS~ja5*WzqQLH~hzwOTH(#@fCmKk6Bno1mH`+p^w z@K-Ry2b~2zu8jv=s|inFagD!GzM_vYBt_F@3uv;vhA$=J+Jt>nK2Q)7T01(ro|E@S zruy^Vk#8GIsWETt9a-+qEPK5!yjBB}n|zNm^fTwyCR?f%+3?o!!d?z64~(t>z+2*L zuVroyRteZX1TKO0zb$z880y%vdVYa#!Mpd`R@$t*xv2{3u!OK?v)NtIVZAvhqpsO< zIfo?*6i|BJxK9x2lK}_BoOrM`ubxx=ZvMW5wzV+>uS^iac%51o;gFKLB~b;87%)}A z+{1~%2TFG0n?1z`h7 zj}gf-ck^4Kr%*&@hasb|*$xSWT`;Fr?1i$p%_!D1ljHDqG-Cbo|zaEuiTDKPrt zVK5LA$kqX21Giq>NOdx!q@rSIf_aK3ps)Xh93%e~zI2pqy_$sgZXVV(Ymi2FSp zCQ(5rNR2fRYGqL#$7lb(#T!fV4z^}$zJw@^)LIrUn1nSCb!=x<)&I?Qm8JRLe+v*`~$^*9=o`B^t4Lv=K}EX%8^{$QAQ zV0`ISuJuf$XB+m)L)m7EHsg70sd<7od?}uPRJw#c?i(OUE}a1?m_@(6eWqDqLK_NO zwk#2Fq{yWxuIoWLoSDFAC&@JJG^`#l2i6^%RD&lMO&)cz6ZujS!MK;HO-yfC#(SsX zxL^?DZTH5n(PkR3DLt*XZGnZ{KZPtctwKz7_X|{7nwxTOn{^<0ow!TC^q8`V5EF}) zODdj>TUFQEvwgGy7@Y%U3-&G?ug5PJ6sgJ|4X(B+SjV7Gd)TOt{$;}-^4MED=HjkI z_2}-h3SmcfzhLL?Lh)P>m=GM0j8IzC3Ru?vG1_apT$AEIBxNARReIa-j=}d;58J*x z)zbQr3sSwzT0_Bae7nB%hRfL4%`1E|rM*!B4R<|*iGEe;`3I=392C`Av%7HA>$tdV zDfXT&_Z~_Zd@?u=g;lr1MgAzn%83cq9TT#@Yy2XwNY*I?9L@WZU!>xrVh7D1pK9@V z&og@5J}l;BvZ}6Wx;dSZ+cs@xk~h66v8gDF8q=o>D$)s63fuW&?W4z!?^|@Eq#Wdn zRY@6RsYhS;FEJ2Sv|FdBCJJc5!s_m$esiBK{YR`{~W~U z>*o$2ZOg|*=ISL69Lez6OS30EuY4A-Vy2XadNg;))t=&w&CpA#HXFf6pvN!G_@+s) z!OxPmP-{DXg`D}(CDj!3NUx%7GmNtsahNer>dhqE zy3*hUWjd!8_blGj@?C;*&!WD%#=dhT4YfaP993b)PVLIVmjNPV;_Ba+*VVglC@G`;G2 zJ1msk*i&7fP+jG?fiKVlM(!=@QEwuZAu;S__HUC2)CgFGgFpOHa6&_!u|&%`b!~Z zCDfJ+V34Ea9X8@NERW^YwxtMQa5Q$74|N3T*shIx$$RzB3CbAkL&`1x4HM=~@3frd zj-tSIs*)E6HAhEh0Cx^%q;anR<@`a33rnqgbP8ria+B7uni>NfD>@Nok--yPgfPq> z2^m<^yGGI40!dHKMybNyJ4-#iJt~-Qrh5+tpHvYeQDv&?B%Iy5vY%#OnoN83_M{3S z^1P&0;sMlJwRkJTAE~4qEpGDG4FuT9RBFg~aFZ8A@C^Nxev&h`C+2beAn~HTScGCIqb5B(>_@G9k87(zfcnKmW?Ur zd8R@$JT$T(b>8?Fz(y#8Zk@|oOFWRG(}p-sTEUQMsP?rYF3$duxgvO9KI=k07%uqO z09%OZ0&zz0S_de2zy35pVu7#gfRfEQCqoi_rPY>iT=Ns2=C-h=3JwoiHG|5X;ZAF~ zRkgmMUm&8vJ;eRJzW&|XxV&514dr=VJY^k3!o%#T|0Xb1TnzhrH?{ikI;$u`bH)P> zqu-JIpD@^cyQQy9Wb8UuM71WrhT^2;uS;jEADLQOsj*yhoodOToE8)M;B0E?p9f1L zU0H0u-(5{&0{}zjwRc21w3VtK_QQP3sJ6mG@>6(9-*p|cNW5GB{pB?{Zc8B?BqFEa z5kkVk_vz0PK6S@Bq=67=+#%OIq$9zO^UcU{V;>Mzxy&m_M%##Yd6SPQeOPoIozs90 z#%Zx-~@W6XMltPWxc7?y>ILQ>#k4-pb&55g>hYoA26pGQJBPmt;`)D^d9*Lry zw&OSo5zB>LhLf=?D$e@u@J54kNHV>N6B+Klt;IVqOz$Mefg1?=rKS1E^Q0N5$I|2%YW6YYY6Uo|t zRV#jW9F3}WKtnP$8+WEq6$lwBAYAwi!eQhyd>))}sFIY)k&Nuk5 z8gt;VkT7HL6EZ=)h?Xm+ZHt5}KlrxMY=ae6H<&#Q(VNv-AxlhM5Dtpa-r`5uKySbX z@&Iy}Nrzd^Fj>0i(8pRNM`Gba>D<(cJDXP+3S4BKd3K3aYJu0+I;Lo{o=?KJ>ceRE z+E0_u_pC$=LQJ<%S-zKmcZh(E*OE0yNge=uWsA-D+HWa( zV0_r<#HA+nHsNvs_;fwI=<+lbF@9Du`!I+Wk_L}sj^2T%I)_aK3p|lrA1jBnXV`7m zCHE|0U+o-kP$VioO@KPY%l+4<7@e zxRnaPsHd@?{1I3o;4Kc;8?TC+2BOcGAp`OuAJBFv$`d)DkQn`NdZdX8}j zZ1)u~DGZag9pJt>g}OuHLZoXEY?=dF11+yPGw|3(=3Fn5OtAOjhNvZOQ6ps!>n}rkbU(!9cfjrGNS?ckm?xYYa3)g9DQB2|8 z98SO!0Q#>lT||K8qMlZp`3CQ4Das^8^rHEw&W-II8xWwUUk|K7sSjKyC6Fbqt1Xi!x$2*W<`+$(Ao}Ao)*-1#2efjbMF8muG{- z#y6rQ1<+Y@WlZ%X_&1->U?qy#9)vtdkJOw+kT%a3=MH#T9xk7MZu6J5g2%-47J%A< zqWf&?f4eCkRIa`V zT-sFcVD@{~R>z$Uts}{gRrt;b5LLO}v&fY|9=@==C$^6~&snGJ&ojsz^)AMQ2SETB9~$KHtA}Nmk)o&`{ezZfa)SH4E5p z&)InbdH@Y%?cUsl5^0PTqfov5>DWffIdr?Re-U#Wq4{?pnIa;0ui>H((FhNTrWc@5 zr{2aL`bxZ?WE9i51PHMN$}W{j#QiZs%`X5yv*FLvDbl10ogX=3q@ku zPx*&3q0oF#StYDFB-`)~*5zRq{LC+&SbLFV3+xo^jWi~;H1=@5o4=n->E2?16<0Q1_Ph+fYJbC52b)P$kr z`WJzHvxGJYES`+NUt=|tMtsb!CHwnCq!Stb@lWnxK(bTd-r6&`ICDO+I@2~x7i-QR zs~&8rxU_s0qeB|rG~a_Gz$a~j%($pxV?vhtjWmsfb>J8SlVM5tl;MjQo{VYePPhvDBeq(>2k4O zD>JJnR7JB-xvBYfdJXW(WV0qw^s?H7(sSdW6t%*S5V$ivg$m<{UVIq`b{gnt=t%|8 zh29UQM=cXx%uVDL)jYMZo`*9kbWw-7n>G zxLa#G2iFfLEhFFIF8{cHyq~*EL%$o1M_Evr%VC!!g>d;os7;$v{psG&+48Q{MNb)# z2KNaJB7-?Ocbod*SXBS+!MSgr4$5Oajf=q>vnUeUd3To0!M$(QCcvuD0UE3GJj=t` zdI*j&rimqAnfyBEUS}S|7UU>U?!Vo82Xj)g2 zqR4Pw!j_sqddX zTESGPr6A!T$Oj$GAMw^7(dz{OaWTW;Y5g>hwCzD%F9pNuF#WQw54$cSm|h=r<)Z)O z0HvhKm`oye0`g4Lr)MDzn-5WG(({M=EqIc|c7JukL|iB*=2bS&x3n^qQL38@{ZKYx0KqCTlkF;a^2$iN_Pw;vOZGQ$y5ym=dIK)-mgt`kFs$g{D` zLxUwFKRWw4jEI5bSEC7IQoj5&c`%6BkPX+k>_Qe>*$28ZuUBK-+tes*YRx=#Q0%Lf zT~d)Qy9TbA`E{CW%Q?!?ywrXf0&%yZ>%|ia*F%a2d{~63!S~Rg1|O4Sz@}2jboKRg zHvuD9bD9l|gRL!xA2e9m&|l3Rm>S91AJNXZIjnOh+eRZ49l(5qyuXrSd&z@QV2{S{ z9}R5iM9|$hJa}#gNEhcE4{W7NTbfej!&YWE-uKcy1H^sY=9#vXvYN{h|)QFxfH*CBMu&?RJx()U7#So*L?z*e3qp^>iY>U39 zxXqWQ07aZTumobRkd z9-?za^6P0`Hy9bG(|{1+=l)hOHr6tIR|Z)F&$7d^M4F8R~4xTX5vimTXXRXVZ} zG=KIQ8fG>BVxCger8MOq2jxj&OeOoQXPZ*VdB2?-fx$5zfrh?_+c_{WPAZoOsqtB6 z>Y2|fdV-^uX(~&n!efeoVbNhL=+K-Z!T8lP2^?EVhTq+=C>+1j`C4_~Vc~{sj!W9o zJ7shp7uz{W;j-R^kEWlyOjf;zDGIk1{_W|dybsUutT@8Dz#-B`y50$@aT|scTQD<= z0v|NHLDJ}2?oj>|VXkwI9lp&g$kt$2r3fvu{L~QA2K!*yht5= zouG9mV&bx*M3&JtzPyNl)v+smVBC~ee(mMrv@)DQ*-lS=O-rK1a2HK>L9kzKZsCk8 zhBFp!354j8k0ElqvCiv!RL6Putzx`{!U7t`_u>cPN?UML6b6TM!{QOG=%?QRccEmw z56r0QeQN!1@nbi?)%=$%NWkvKt|RgB%HsEar_hAw&bmu#?9hYCOFJE^5F<2|kM6Dv z{YaUT9j`Is2q~@lo7J>$PfJT#Q0g|8kr@rT#Vb9%xD3~m*>He2mJXC^!sVf-?4>@{ z+k%pKRV>V?R9xx7F4%q&LRD zill3}eY4&b*Kio_uIw{n+vbkq34!I4D{gxH*xNLk#or}d#$|$c_t{iR0-h+}StTzA zNzkxErc7UbX!qU~h9kfas~Zt>Przxv8O5J;O_3xPcp&{_4m$;Iaw^fbZRsXbKi7tV z7jYIM@g`-d;ZCdmjBmKX_1c$ikm0&iTQLlfCaV#u!h6&1VZ~vCzLaT}Fy%yf^d~aI zJ6Hwm+;l9A#nz8pYeM*`zc=4=DCHr7(dePJU>U|r;>N~=2)tJv)V$mdN{k944hv@8 zqEM|!@U1m--W`szmA7(AR2oL^QSM)&0_U}LRHurHt(d# zF2pR2>oT%>9@9@>QmQMS+$Xno);iw=5RbZw+}xOS!&it5dvGw<4>e4#t3!PJeZ`8t zMo4_U-Z}vjD=s#15kTb0@&t^_ww2@+(PTgCQz|Q7QYpeC=juvih3p`ly7^xHKO3GY zO>vUBmQ3fZbu8_p2l<^dsAvdx2_mnx+Ag<$sJw9_t_7pBHxxE3IX!h8Q{+iv*=%2L zUJ6{kE4rmimuh72kQtvyC5@-UhInw54`ev1S;L-LzpoLz~(xqZc@uVqLNF>FbF;2opMwI2kEa>^W9^_00$u|JF&{>b+~Lvvx3T2Np&@SW^s45hV($ssms;Jf*) z%&*#-x^IT#HlS>FXY_8~akdQIwGH;%rHtb|3kKs_*w;z*;U&tqdaI~p)6W#M$|XpFoQm_`jq-&yjt!Im@ZSg<7L)UkYc5e4UN3*snctnO z5!YsEDHElmK@mntp)NVHbG^99RgHejW^ivT<*|C95>uES`5(_)ka_E*JM$VJBQuz| zqwAB&t0`Rzh`m!S7!$r+&Ru<7+1sE5adzE8Mv?Xk8EnfX>!1hW>nJ@I%9_MHCK!sx z^M$1q$os8seJeXUv?Uh@U|GTZmgIPiBLxFnh#rTIW5z@ENiUV0WtL~IOmMqhu?%ffHljtC^t$a_S5Ys_6r+Cz0+(9G)LaiKB84l z`Ag+%Pzx!3Fbk?F5J%J*`1;4@c~a!ae%gQFnX)`@x8 z`NW$Oxri7=tMXzgh1h;OU4qijWzHgfaiaV15U`w56#xoI1hm6MrQ0k;8Z9@x$$SX} zeDf8aq5j)Ws!h{UV8Xo5eo|AM^?mM}+-jdTf^4~x$_>(mdE%C!xbp^ipUid3`rP_$ zZGc|)bWjpaBKR<`_IWc;pwEej+}!ms5`uN3C-sDk#{)4(+NXWQ^;B0Xcis9s*1NTb zjo%{rW9LT3mqO_tPSg0Jt5vYniA`lh z%kpp-(Zff##WZ22R&_=ryYx1x{PLrYmLaVSU|)w&b%*m=BcWj&e>aQ74G_nwn#8yl}YyKB+=wBt^e^yQSFC&frQB7cEWca@%4zd5c z)&D{q68P6lko)hI1dD%h1gn2t1lRvTC;AV2=s)X3{{|%gzgf!vt`o8R$4=yb(}~!a zIsPRb{{K1=J2T7wxlZ&if{=XsLYI^H&l-Y*fKU{Y5O)hJ_CH`??nhu|U{3aLUaWAY zBG{%BPZJM!ULzn7k8u7P<2e2DJKbry(P>&`-`)A#_}u>7o_lm?JjZ^Z=0{kSR{_D9 zp(g=I2BJ7WGZzQ)=SKu2kWY_JT7n354gPUSa>(RQpuhm4d+q~}6sLfQd8Q1SSI>q6 zf}3}C0fC4B2)>bmjF18h05Bksf6(IxQH08eaSRdw_yYtW1A-Gtbf_%I;YDQ7>S}() z`0EL3ALIcbn3#Cr-M0h?B`Z$?0}}}B%x}(Bj{G9bFpj7n4ltB&KIfObm)a^+lv4r% zy1l&($}dX+2(qY}8V0`yC$tHOC#WD_jEw^H#>&8tegyK(oB@DI-aif(`f=; zAWi{rX&)R=V2{E!gbEix1h_r~7>f1xU%#E=3ts&b-XH$%)fPYyNbr~LmHktV5aY{@ z2?9oxgEQ!#?9)!$4|W0pdRAcxozFAx4S<02FT3n0Oj!R;z>YADXdDCjb%O&UufhP} zU;i(H01qlUn7u#&h%$Y@79Q9)sc)wN3a22*!6~qBjS@4A(=#ua~W(F++JnWBjK!j8XP!0`n0oaQCrLr@= zg!#cm@iY~a(?2$axerr600;OSu)*KpXRJ#RkB#Cl+9~MM{o}Tmhn5kK000DB1h^`% zg^_*5x6)u+K7)_lbKYTN?l%8sb88u^J#YA zH->_WhzCILYajv8SC4@}0D^)J9B!oN{i7j@5AwMQcE{I&WseQQb|}}i?)9NIW$TC8 z|E-40?eB-SB%*Ht4Ql@zcAU!3NPzK)@bP={ahv>$J>sYG?$_|uhpp)1;{1hs@`L-! zH%LI9UUaGlklIpfUJc}oppM)Bi){(@U8IRi0djKjw5tHi0#OA5+D@A~^Cega#J|Aj ziy?`60vK{OG_T*qm;HXo{!_v#hJjNV$3Nifqg}7Tzvnkn4+PAm&qqK(!}uG_Pf`7M zzHjYqD%9}#X^vNUPaotc?Jjua2AE%*WIPF`%d?sk><(#=3I*u-O~%GQ9{?v{v=pG8 z`4hkzLA+7V3Jo0$qVm`AyEWLK2tZ(S_k>Rtu!|^Roy|81cyqAtYF9H%kSAZivBCl5 zO(5RKM1IMkV^GHJXGOqbFsImv+2Cg&o1El~E`?rI$|3aJVo5WkQYlBUQtnF28C55i z`Gnlp-JsG|%_|b`VOLeBt;YtJ+1DkU3+vWpc#v0CB`(P(Gv8h60=E%bERQw2GesHB zaMNU5;@GFH(THg$CyGu_MVq-@qOGHan@=VyKxEO_>YcE2pmWV!<;wrw_M}nCc~3If z#JtcJsw>s`5mF=D3-j4fPVbgRhTKZ4y{}ZO|AKA|nk8m3NEgjS;eaV=gFX2)<93Tp z$-Jj}rFP0rurm_P9VwRD<@K83Gb?W6ro-8Enb9@T`q;8+ghy^7_97|?Kb-a#(TY>| z3yD|ml#pee=rsQNRAF@44h7BSfvAmMT|ro?91@tD+H7xKJCkZ#G@_)J*#3wLedqP; z0*=O(v8jj8F0FaZ#>#x6=+F7g%Ht8zZA1YaJiMN&dp|m+;!sgEzfVKQV#7PE%_0mA zQR*FrPl%my@9GGfa1kiGvi;M`D`Uhf6q*$|&@6vbCmdc{_I8oyPp}2RLP|Yl8Xn6$~4duaf3-{p`G+N>eCce zWa4LNrROQ>d(X!yR71rg`95Ak`Wr-3CgxlqLJd>5mO&jlYNVa*c%9qTe5$+RHc!P$ zNqo}jGNYZioNQSi=kBk1eS~4>GJM%<{FK^ZXpCjXUXj9gGNJ^YSYggGD{hAincZ2D zoZBgAF1mNrxIXx8;AgwVw>kfQirS%;g|ltG^eTbedfN9OEK(hWOO!8{4j-H>fKlUg zx&|D3*<1TyOT-OPZ(dQr$EIdTh`#djsjh>qG;UuGic!OOQDssVp{lK38?x9#-EGk7 zb}jSkcK)Yl%HlJm^Woq(g89_j#KeDcJ_PX1D9omF(<*)RcKg@Fq_QDP<-H%{7VFT+FQo4Xde0 z25%FNHq~C;V0cF>S8_BE5q38P-G*DDSFLhrjwy=|MHa34(jL~i^YsQ-54o_8lY{wt zAv_dIWV>ciretv5#Vt9qi<=KI!9ymhsZn02HZVE$J=7G1p)T6WR2BpK7VZUvUuO%M zJ_N0* z^1dpkN@GUbw!VPHz`W6zL{jgDvpEG&n*1VGm3eZ^6jo@-jN!QjM0FJDAYd8v!N;My=vu<&m@r5O0 z(b{)?aAuJ)Ixq9wC`;3eDrR4ue)`3QBI`unFE7Z>HN$&U9JNW&htKzyFSU0m=@ zd~^?f!2pn9_nqPfTeZ@To##|}njZ#!?)0)XHp6xSWqhscdwd~9-zU?>)BWA>>z(-$ zzc$=>FJfGwBAH)oIS7a{hC83{klpT>V8z1fr)-CpG>7pKEmHe7jBlq(t{k~a)kr5& zxuweWDD9<*SYclH@i)zqPh@^(%T9l^idi`QrjkBMvc$zM8WKGM{)My zYf-x0Q`%iEo;X7wAusZa@ShnzwD2Mww#jDEFSUlyi#rH-YU`a?q~4!mdz8NZAfs+x z5YUOY&g*)-_hvde9M+gO{BArT_Hb(lA?3LT3PvQrqavYL(Pn`W4a5=7<}%yMcYiGT zxmV+tuDt2zEln^b*#C6=mEngHxQy6x`F8D4_t*mL@s!3o5vJI!+KoHSm@%v}O-XQ0>@q6^7BM8C5bliXH(8W!FblV0?Y&bt>E z$T40SVhkT@w&cD8RiIl-Y?2+zrVBc+(-nEFW7!qFDzZY^G0LGNp^zTtdwOtgo?h5D z$94Zb_L(Qw!qi6bZC%`i<2Z~4z~qoJ$2SS14iOH33>_NMw=y&0E6jkFN~$4{5@kcF z^_2oR+Gw)}wEN9PtorozgkCO$wWBRih&Qt}-UJ00+TuKasqeYB6K}Gi=i!8o?p-_tlqrD0ivuIwO;^%ZAx; z*=cYB-qtA}M9bM_O!Vl%UGcE^2>LVQZ0f{9R=b%)Gg<&#o6YHZJ)t~WH3 zzIpf92q&`6P#Dt9IgNP@&sbd}VQ_jk7iWV9KSeL$kIOb!_%e(GW^^hN$&pIjuf(HH zOCIwuT^sMgk6==#haCE0&sZ@qT;r+43=W%Rm^dxmL33%MYG?T(SAZK(U`Yv?lU&Ou z>Q3Hnx&vf^8D*MmIhQi_NHeDOMe9Z0UO#Cl3b_$B^w6A7%nUGH=b&}BEGQNY>nQN9 zGUS$s2y!#5@e(Y`K14hkXoEzOT@r{`SH=8Xuh)L)r@`|*YuLum>c6e0ZVhFGf}Z<% zsTleVNW#^vPZt*p#?VihkQ^#2(Qp$OpGtba?LdV}XC19oiB_tqqOfH(D?1Kor*2Nt zQzd#Q>Pm5Hh|uTPV@&;ib}<5E>#l2_Hy;h_kzf1kh9s71#(!1Fw@I zt2??5PtuRfPNhgNthJQ}<)2N*L_s8fjqNsY$@qZVjS0DAVx9>tT#=DG@D7W$5X*d} zZj^se<LZw6KQBb{cGCXmdfXTVvr4sT2T5>1*x3#f{UzE-1g!hnhy zlWxG@%3Ddh8=<*7zzmK-<-`K*Q^{@TjE}LgzVaw~^)!t@uQHWznBk_Y22skLpZ35c zUt9q%Rec4*dcwKwJIU5GpEOstiD$=w7Z)RoExBHN-y5=J(f8D0+;+vPAD4xqP@hVs zO>miI&~j>@F1~it|5$|7O`{qX8*sBEyh=ZsOl~L8T{2*EO>Z##7=q>`4#vwcRUGDa z_Q84Jd@_?YA5)W^ zycsO#?p=0HDq}fwi&ro?Gw{g8Bij`(s5*GYkrgKW;lGYC@D_B=O9)Lb4`M<;`*Ol@ zADva1z3lz?R<`w2$)YaQ_tlP9136dNUiCPkhb*w}dk53RA#mwpdvAxW)<}{z_ul?O zNP4({9j4yh(>x>-sNVAGtnrUZV@ZdY0E8Zm)G25L`dbI{CFe`vzDGMjh|8cGBoA0i#+XE?&C*DWnwfmstINeF0*KJEpI}F}TOZV=f-&R#e zpq|W^U~?3oFiLu~Z?T3!gt8}mpRrXS)g8K9*8(qIZu@nwGEgG^D*VX*G>C~SMpAu; zS{XDi9-jvq_+c-ZpEp04ofa5wl~py>ak8J?{dn^<_8fRo<3PEe0#jm01=Y<<;W(b@6Mr=_cz23&PK`mbL0(u;%T^%it)V$_gtSn=2+OG(F>vhI5113 zG5}?s-K&J9%@Q*SV~{~Qi3!rz_#tKR-mS9zacCt~%MqE9^6NS_pV$eX<#ZuA=9Xw< z2C&3D%WsbSn^)Z zqZ|nSFYYP}l231k^BkzOA9bpcBgTYlivgfI!>|^f@{whP%0LyRg#@EDY8=>z1tha= zjK#m9#R1^DBVR1uFp0hq9Jd2DmWE5KhtY^he62Bzyq&?R*BffcGZ|V4>AhU6I&cWC zn~d}7rHlJ9;G~E;jEeL@+-O^MU#DlT&f?_fBuS_#yRx+dWlq9?84K$$#kum^l2mC6 zxZZa|U*qVFw_rZkY?nIt4-)bN|NIt>+RgLXLo~FBUUU}X+o51Da1)fwXjr{A#7QK* zA*<(lz@^>03I&Rh{Ytp7B6%aJI>u|J3%W;}SY~d-I;k}_i?=pydR3XA9Wg59alH$1 zY%AtZa)iXCFAPGoe`bNZ!Pufp)s{lZ@B833r61DHw_qHJWN#Ap!oBdKzlT_+uf1zx z@p=Oo|GL}n%osX?-M@cL3fm`*%%SXcWbxjXyowXYA7+>gXq}DGIB&%G4g>96Cq;>{ zZnwnRzQqKm2jA#?3wfD_p zqEJ(xFQ$JI>O!qBZG!h8ha-s2os&IohT?c2n#sGuAk1cYZ#~Y96alE#X3E7@!tvb5 zviP=hv7(8}xRMCgo90NbJUG8*((EWgyYin78z&LeimGS6bP}R^!OtUbJFJf?JzcPz zk{fqxx8Dk{zYINqdJsexw#r>Q6tyn?^@+v#3LT7X`40+mnz;bzma6fRw@QAFY;)WQFTVg z5l@UuPs!7V?#mxq8NX~G3G+_0&etT>YKyI)gX<*kSpQC~Fw&hd42~hzJt&_&o?vj& zCIJy(;^b)}EpdQy0Bb|T7%WSRwAo=*?!Ej<=Rp8T2CdvX8q!s$B0{0-mglb%7Z=14 zX^eiv2sX=T!?j(E28TFpiMu14B_68Tvz3Mdx%f~B2u1PstNiltJ2y5on6uc&jd6vo4()Ta(rk(6esx*!w552?r|aBEFy&f z{@HzQ$L=_a_sMzDJc^Ah0-zXyeOec1xOyB>h5C7ifyNxv%JQx{a4Fw0{P7$a+ULME z;Jct^BBt23WLm#anOUitVJrHP|3axmd&m(xbJG)s&s3xl!^~aH3mr5<=WFr+y$-IW z)i*EVM!^S8X?-2szye|Z=-#sY%mZH{OKW0AAt_%kN5SE#ovWf-(oVvZbrV1=8Sj)d zw}Cx|)wNmEaPU3kTux<3)x)AbP|z*QAkxhESw1#(X-^wbDKFhR)0oNHDoxSS}iKNHX^Ca!)#ab ztfr==xy}O8`JmxyUtW@5!=%k(w|w)Oc}j73)%`I~&#^uJpwxr1%Q%6+p<}_Uqw66# z?0q=~pHqw(JJ%U|p7ihVYQ!HyqB?eFli2OHG|z^PugywsrUt}o3?GrYv5+&IgdRtC zf@7-0rwWPRaw16-&=o#DaNI8F0QF2BmWF4+>z)jv8{>U6aBW5t+w{v{YELv}%1gkv zNT?v2A42zw7I&9Da(2n^IuCfHj2Nj_k(V;>?AAcVbVFyig_tEV3HoIu&O0Z4uYM66 zS5X?1KDaI|UFC991Ah(=^Q4ef%eI3{?&?w77gM85Pw3;@% zVQzAsH7J3m#oxI>X?ijkKd7|QtfPNK((5$%qi>6Z1dy03yul4d%Y=I~4{aLs?&iai zw>vB>b@QU7naR&vl3RkNt6PUjwU;)!i-Zd6nB=waK=XHN;6mx9Hvr^bW5 zp<9h@RPYeBdC|AaiOxj4;>g<25~yv-U~p0v99jqkavfL?Yd3#OrJ0S$7-D9V18$|S z>hcB0vFTrT_;8IH?*WS`*}~(zHjhUb@c;uQ3%cE}=Rg-Mwstjv4Yu!b#LOJac;zB2-@S6F2 z_8iXHPpZX<9LRa21{HcU!Dv08uqoI~&C+ZkCp!R`MaR2Z5B|atF&f8FkV7k@71@Xi zBFLp;%~gRnTOI3B5Vxr0;-H*GIe4VOXdZeF(}Pe@h>t}@B&NMW>w(>e3DW*e8e*4x z8N;27u?tSj#H@>>u7URyifM+;3UjIHC(P*`j_iMTs%R0Dzy<} z@3vCNN+ysK#9}9X<4DMkQ2u%^HuaFaPjU+^889`hx@X-BW$Sw7+8@59WoqK$k?|89 z`L#CxClfG$bb`o*H$n1x@4tD{ieo+k{(`QErhSwUV18!4sCRJ$OVY^4Yer3ylHGS= zU$WeG45BeIT@e#vw?HNBZlFswcu`()VY`*01oe!AD4(ety6l#YtIX<$Q@vw#z(ojg zldx!H0hn1{eIQ-g4cV#rCh7Hda}KON&|a(ONqusBkwynVrsB7@CCX^o;M%JSuHDr~ zr(8#W#mvNZa4ZZc?Lg+ttwH%~phSxKH?{ktIR4NgPeMA+laDr)`x{1xms2xeIu&~D zy7g4`1^#r(V2Pb`x)uw_b3#qWW+Mp^H%FH)}Jk5!E(rwwmqYzRa`Box=>I zP!&kNSvY6iNhcJl4VwZ@ubx}A_-KpDeQ6iNqi zJ|)RF^u4NGx0{3sFWw2e;o_uUi5GK$U3g$_R~>Pil)<5wsd6ysB99W$hi>9Cuf(OC zO50pnO`mRMxs#Eb_+Gkcwn^A+WhQ1R%8NiHG4h`!I@cOcU<1{lFI?LoEMqqMiVg?;$0y4U^@{_Sc$#;3ijZQvBo5maYJVE5M768`U+uO_k zN#WvK1v@n}H!y;ZWpii-_%$M%85qIJH8ItJaC&~igR=AlH8gP3Atz*HU=_qgAs1v7 zwBf^Y_fE~P0p$WY0dckiNdx+lz{t_p1Ab>=5@Cb#P4&;8*|wEur8Q*45h2_X)HX8% zu5)_3wXUWE;Q-==04o(80fayEZS+JPeY56*e|E3}pot{^%ztfs&=E>*_;O&SrLL~6 zVy$_ot)~M|Qdju_2t#s+n7W#J{EMqP(+w6`mT|%R7O56VUKSa~1N#Zzguo}LgrR>I zyWKhCNMqMn=i*}ERM+@PB3#gA##2UXVL@$bsQY~dSKk+EPHGX+>|wzru9UCqb3|2E zM%7A>Us_RB*_y6+YWpfv*@gyZE5Pres`WjA{|6BhI43ZBYFb*G+bRGbIKb@Ip#K@2 z2MfICZcie$Zx}D*?OlCK19+-8G2mkzGqBHRuR8~38xY`hG%X)qjW6XldS6{FfE0~% zCg3oiqoigl?>t^IMctQ8iIp&x7#<}KO{sGz9Dz;y5^cpTmUmWb3Tb@ zyoep&o&cpkUD(Y3evTAsKTVSNdK3uq=UmcQxMgDN3Se{8S{lu)eE- z=xaJ&{3OrKi}%mtn3WrySsC2DG=9>k{#Z^_(pdXRxX2{?YEuCO$1H#1ZH-u@dA+rA zX7Y&K>r(EH9Dm-#?KhLU6#rJoQi1;-49v}q0$&%5;e`V44&B#96!X3K!ZQ2|n_HfK z8vwnH%ZBfroJPE^iFR-RNDcf!`ig4hDL#eY2cr-B;{OXkdiO&}iw2Nzh&KqP7yli= z4k+c|I~$U-?~BOB^iTW@{#{T0JAg+`=_eN+E$W9bJ7zTUJ3@_zJxYpa{ZaG>vEmNz zvCs0-%;+BU)xIQy<0r1+OZEFj>s$4X-|QZ|&KF-&6d4_h=_2O-OLX$iJ~%AvNwngd zNdITz_5kT!)CiB;i17>jGxSh4G1Hd-JSB$W$FLVlkMRST7h-CX`e(PN(HDP2cXoQ{ z4(}QdGwsI@4>6tV+ZpnU;Z?8k75P@QgXZrg&A;ZK+Sk~x1EFL1Xy4%%dCUyn+XEB* z_mG zims-J1>WB>UAUhhE4&e|)>Uunn;-hRPvu45#K8?@qNRG z)Xc5R@4Z`waN3`Lcux*rq60h%&!5QmA@j(muPrY>)YV}T2cpx{KkXX4&F{Rgx^xow zvp8lzEzGv2{peQ8=$m(PM3FbcwOq9Hf^`*XA_KckhpT7zfgo7|idm?wdv0WzjGF=V z?KCppRE<)f=gyn!065FZg`3}(Uk0(cj7=MGE$m?|^zv@hT0623lD)a4jVE8{yH$v{ zpq;3XB``y5;OI8QMP85KEj;2c@89)FbF**SM_m>&>aQvF=D`?GW?ldG)x-ZDTykJ5 zkeh-DU}!W#yB@A>bYM1ahPfJ~fpD_tBw#cX(q&06ua0ocG(oYbl+bE9XyITB+-f$? zQAp6m1t?)&g4V?6FZl_-sC*OdYYDyARKSo&f>)+3B~!{bPjxj_7fAA|xpWr+_?O*+ z&$`B2NMW`UHUj(&eYnmFYxYmEd}3vJw74)$N+!E zj7vwk)h`@u=v!eAdLsNOcQ)5E<2Z7JnaPP#8)uz(#>Sw?!>$i4jZ zH5An?r4i|0ZYJKX`y9(V>3Q~$uO?4t6V-#DGHBhvYpGqb56l7~fHtl{Exf!9#h%80 zV%IQygq01^UA`{JlXgNXcGLg3$~sn4X6-<+>Hi+C+fu6>I_6O*5B+q{1gn} z>~xr+ZZy%}o?$n@$Zvgo31D|%WQHOT2-BVrg(+zFDFh{_CXv)ct11+7$CHz2*mRUe z^C*P9LMV4ssM->3KY^z}o4Zm3E748xOriA!;o@);#6;q{uFWXB=2DBzON8V)QlDru$)AX0`bvQ%bF<@}yH_U7*UR^l>hEV_o-ML3D_BU9PIa3?Ox-T5NDu#c@n`F?i|W3qX&O-{nq9VA zERed0$l-yMt@WLKqO(4Sk>|7=I;dacWUoc6Lv>|F`d!;YFG0HR0}Da^?1mlt%ZjDt zhM}sFE6Lmxb8CvtL=8txjZYu;DpOd$;Wj>XPkf4d;>?msHAa-<)Ba|!c=n3tDd<0r zV@?>;*!n%F%>Xjf3Tev;#_I8XY}f^-1w+Z`Q4h?Zi1SdfW2b&ZM2|{2BH?j`pyzr@ z#u+oOs{KS2Lb4Vg97>LQi55e$cbjbMyv67(&V*;q(VjHQ)39bEv}ii2?I~FZRP*|FWIQ{r*wHi@RqKNd zoR8~TGkRh8FbIgH?Y~*^^kgoUCu{CJ@i{y)+wkv-kILVfe}8no4Kz;efT zpAs5}=!{YV{vu{DL6Tc-i=Yvw4k;<7&J(~-fAm%#IRoT@7>LtHXVQe6Ct(>=4BSac zJ4Y9u2tv*vM)x8p@54QvT82DE1obNpbgo1b{sEwf0@a#cGMWZMp0B_2L_b0(`y7jt z&XH?4)-ofJ(Jz`RX8?Ur_(Ob^pg+vuq^mP8f|RgkZQJZj78K8JiAxt3OdnMqioJmA zi@A&m?vZ8|ZPz#K-OQq!v{FOsW>McPOe3ZVSt_KEN*>D`t7k)(B-|mic+JCNb&dl( z1x;_b$HuE}%jNC{{P>nulU|Bt3j&!HipzBmev|oqv}5tabrY587^)wLq8|N_TF*~R z81)_Z6UKsnykiMgAI+w`=D!9}s=)jjw6Hi46F zP7YuLCu=#@ZVOoxBehEY+AodJ!&*3u(1SURtB0CRxPTeXmLD9RfkjD=g zN9HUb`IvzWYA9-Es5+a{VacivSH?ABCr%Yjf6ae}_kjl>!V6G33W*)o20RkxiEoIP6fI z79BCJQ9V75jwtRTfh_46CeUGN_J|D(6N$B~T~DW6bNl(&pUp`Z!{}?r^gfRqvP;?s zx?2yrw(<;nJkyB1@!y_tY}F43ny&8hILP37MQ}`4#6SN;piL)@2>cjayX;$m{r8q3 zEg)6U5jcR2^LGue@L%od}hds1Nwj#;3N?yUN^y7gV}h z*nK_!2I3g+EjOKU2Oc*@7tCha1sA+;ff06oX{&zduzvTD$%!2vXtBe5t595)g6YmO zibX7*ySf+I848x>NEgx!&`g+2B(f|9dD5N>3F3a(LH#jNjex`4SnR^&m7W7r9YUfy zf)$1gq5^QqKAAGvT7;Gy-!ix0=JK%&fd! zgkKKFIM3ebtVr54+&}AOv66NR=}$G!I3C>&^{{mVqJ=$tQ<;fsq(}Oq2VGes_Lm9U ze3})km13{);eG9{eyL*6?)h`iSNi0?3M(c2$M__(O|`b!pLp}mZ9~t)2xkj&Rqb0$ zlc7>MZurKgoeL7|Dd!6<8^b1Rx*YDaV3Md!_^mmS*RM$m&;rxl_i+_d;7ryo?c7J7 z!L#RnTI2z>QK~*eT-;zGr9}2|=nary`32cuXLF`m4CV%!&%!Ft;HEgmRAQ#S#7(t_ z7i)q-^v*XKhz4{$3#Y$pg{=wjOCR!qovsCP*4k@siD;N5!kujZC*n+bT&X}Zp2AJsT>B~#=+^hZ z5a!F45*iqNJ*;+Z?{4_Ju-f8;c-gZI4sWkP4Z9OFdsumrI1qK~jxi-D>yMiJDBy<8 zwCmrm)nOEo`u)hQO?TF-P;n$Kirn$smo_-*8-rKw%wiwJv-TCu=F^z88B&J#O@&=q z@WI3E!w;oco9cs#fpG|JESA>f;KMH0J;Dm8Ofn#0c{|pE?Y|npgjtZvN*W3GFVnI6 zc}s6q3@$;^*!hovFY_i{Aq(7%KYW>(wF_j_<6%Wqry9KGD%+PKJZjpyyJiv?SyTl^ z({D~(1Pqp?k%+zyZ_ukI;`ACwf+zHp$~Wm8=H4FNj&SX6&|bHKuxn0))f1aP0kRL@ zcK34-Q$KP@p@Vv@howInAu1PL5R%IooIQ~M!3C7nNB1=(O%#sP#ekHkDe6u$#}6Ph z0fr>GrdeI0vKzJWvFQ56Z8LXKMO=u)DU>B;a8@xbUD7g~^YDIrJbT(o4=#9x~)5Xkp4E4JCz%xxQ6VW`>c}_bQtWR4K>NDCT>-d}BnZ-}wdG=R-IFes zGE{<_o0HXp&h)JQVQMT&t1e$L*dN)^o+;5!6UGPq4Y8@e-%s9l8A|ocs7($z<5Jt^ zP#(!@l8RqTCr8zFZNeQj3?g{jzAk?K7FMxB=OgZk`HNhWw`$aNeTIrCJN#-}zebk+ zWT^;CTm|jk6J!Nop3CTJXXNyr~wI!T5&$2?{_) z;n~6^$f^0G(t>Ar!^C&)_0WC%4R8=(EOL4z-(Qr~M(^MYMIhsDd9r8q4I6Zmd!;J1 zZep&3+*LBivGqBx?TZ!n>NQB!hwdh8+|-Fh(ujhm&w%jwn$Pcd%XI%ZmpI}z8weF) zDQ@2)TIOjty1EmH97qaGipllnqSMe_vvpi8-BF@B>(|FmgZ!Fp9lZa-TuYN04 zGI6>9vPt01PcE8g-P~1|njOInx0$J&%pCF0ye%uldu*6(`z+YY|8}YxjBYF#XtRUNNVEH;8|6ikLB2EVGB?U6i*IAh>CHsr1bM4hIJR1o^%RJW5{R#V z@Wod#QTI~wsIzecOe&^IEA3jR3@rUcU7J^ra73K(LPS{+*)W=9rJEPUBD_YXyx7ac z8N^(nC%K_^^yy1`fd$ezpSlL1f&{BurP?P7=SDXCOC$dFDOy2md*_pFS7~zvS3fif zgt&fs_1Nau@J#CAk{+qA}r1x@k7AOVCC-zVmSJ+eC84u^7*DA|3p%Z82(m^ zoD#xceIOVV+B~@thwnYc$lqo9XGm z`0%5YrV}T*z`3Wv|Fn5ShvQ(|l}}3_im+C?*Pm&g`Dl z2m1pI1S5sx4lI5)H02D)80V~O`8L6yUUUh~k{V3+P{w@H%G0w#=V_k3*5PIvib7#E zC{@C3>~T0-`xx<>z235d(U5kTr_SfQ?K!t6T6@8%X^I!oqo3uasFgzT zB3C?Ac>U~76)ar4{+!VLo!4LsGXX79SKQUSL9Ur`I+fgM8k7xJln=&;@kwx!evY3X zuPk*SaHg?DRvtjW=F8Ts!beh&p@YO5#h*>O3Hq_J4&m1nL2i{+9^D{0ajH@rQd|&; z!q@C8i~o3^=F#zL{-HoN@;|>m?0%V(1=>&&RItg;w!xc#Y!JAwvQx|{D_YFULpOMZ zTO@49Yumq*4=L?uQmb54hw!_?4NZ@XCE7uxeeI6r{k;CbYIQFs zAZ0rFYO0ckUNbFMTV!y6@Z_@=b2|mthB-l{uEJ+f9}9tJjCU#)e6|U;`pbW%$rL~M zm9WjTebM!8g~U#P%l=oF(<TiG?u$BNR^E_17kuT*QJP9A1b=GT-NyC6)c4|2)DEr# zkG%cEJpsv!{1GaVMCmlSD9)n^YJ6*6RiVLA>c*z21M5_gaszMFBtTs`(ajs=|gXd`8>{p#-Km5p^VNGP7AK%Qp_mL zFNPL1c$3mPF>*F^B*c*jyt@?Ln7eIGNjtSb^t<0F^=ON^iIB>oN@obB<(~^iAl>-6 zUA>@@8LC8J0%*!%_y%d!qe?am@CKFVI_RmEJEwaH$UDm8*c3}?z9`z=dq&dKniI+k zL_^ldlx}H%!!zVA>Ey+71}hzD*Qn81)v_U?GLn{lS|;_uYtLUoPr)yTZ~Y-gmRO3; zn^&|j^(7YNr(iD1gLOeV$xB!$&m{!LxcoX?yd2P!=lC-0&D@Um>6-1TAxQwl*3SE} z!0Tv(2DE3TJa1*8qyVxA(VbSM20So}p!VowY=kQ? zJoD7$XI+p1B@mDbc%Pb zwu=2B`KfcLV?wX=+^`dd7rU&uec$ZLeY(-)7*~0QphC@*fSt%I)~L`aN>9;5x2e`q zyDcakk{QzBKC1_j3Dj>+)EHfwywH2xFTT+B{_=3>Qs>hUluhy z^633XA)L>5xzK%dn2-YiC=G}b@-C~Ge%SNNh zv~M{PnT8_G$?QS(!YRcd938Ak8^HOEM%~;fL!=6!6_jq@!)`J@rPy@+pAfm$C#b;= zuGOb82;m1?CQtxciqt%X6 z8K-9-Dp$lR1g&xIm5;ko64KdIhp$qUbW5jb05yRfVS3$?E!yq&`sM2rE%@N4^I$*< zc}UQ_O;+UfvuNm6xLFos>1yHt@w?S$3sXfZz**5>)+-cG-7|fok>zhA(p%_^L$9FQ z*79i2w`1LXo$=QuSD9F*H%j}3&P<^K!BWc8v3MBKWR6IxTW&v=wYJL^UgWz^{L}qJ zS6ccc#i~vZGvjHu3F&iS-4Yf;Wp5lswi%F@>?I(!M^0WuLSrHUo6#`o2SInkzhmC2 zhFq0ACstAB>D)ggTqt_SW8#iFK6N9WS~8$;iwEPL4_(vB&yD)`4eu^D6pcety6ngr zp>b8yq{8Q&M}tORDwN1SM*Vx&*qPnqz6(+gipi3U)d3d4y9`b z_hyyXEk`Q_w9CMsT%5spQ1)mvTX=;=$-3JRuzK5x`J6#Uc5`m zy1si`eX!oP;2~sB49IReK}fppnqjKmPP8VEx$ zA;p-xX^KYy(M}c3kniqhL9CRz0JR_!81o)kq5^-QL;#tk$IR7eHks3)_Cvryw@J>5 zN40vW{oEVGCY}5vp$5A&2gJCeLR#EGjnFOz-`%QF(Xz)w5t0YQb}IEieMHR~4Y5$? zfJ4>1W2jkJz>D9Lc4EdLo1I&k&093wf#!?$@2+S2JX+m+0c0(&Fh<)-+{paZtrcaR zOIF+NzwDi>Tb@wW+yM(6H1CPk^>8{gn!6{Jh&zW+RbSPvOh0Qnh~0)n=DXJioQS$g z<YW`J1TkLg%AX^U3RC?Z^h7ftu<1P(zKj zl~gSGHNzGXp?y{BmG44M(K}MDD}q4s2%+kIloPJr_~~gE*aqJQc}-Fdi}ZEd_^~;P zf6itFG=)rIBgj7*P+tY{tn`(EyhjyHES0>%e-PJ4s!2TQ5;9geARIDgezw}YJS#!u zm?=pZzsyD1XQJ*D7FT1~CX-_rJxK^aLy->%3VZI5i?M^)MHtKA@o$LyZDc5K_Pre{ zoVIlK-6Y(BUaB2Rj@F-KR89|M83K0;D6lG}q8KL>*>PV^S;>!jFY1c&Luv0S9xVfF zL?=fl>7XK?GMf*aS)@`DU3sMo5X$8`*A~`J3`q!zREdi$KI+kuH~PdAsO&9|JV(VH zFl`uwy{*OC3`s?50=UTpG}v zENxplFw542mt$Qs)?+5s@RNp(0YBnSMdXNIGrPUsV%>|YC>wDJ%eW>G;AjdFf#TTN zm_gm&PJq;6UmN?2rD0_!bkOi5MLp6r5$|ZZw$oCkv_wbgi{NxO%uRvSH1^XKi2~Mb z3uSp9kQpM`c&e;@QMXrLhiSYejAPfN1EG_bXWpU1g!LN#S?i?2G%{oB8dr5^X_}Q< zcDSI9J+HsC)OrSg4!8PX+du=79#aO$uC1!B-#qswUM5j^d zyocs1<_`aSJk}gVk7v-LE84wTF;X#oA)uULYJ;>1Ld_E!~dyORcyF-|O z^{j2hsempi1<4j24G*++VyTZ|uh8Qz&^>pJX#X3Tke=QWSySQ>tx`lJ-w!Pe11n|m z%i(b;JTmI%D$!0_q+^b+lV|r zKEZu%z*yE2<8rE$Wagt)n;j3Kd?3CKRfAOC7@Q#9T2#6za<^gtg>0$=;cpQlnCG|B zI!I{}aS&Xz-W9&lFx&|(Vg^OMT^;%v#Nbwbv7gKna}oo~NnbF~rE;Ty=gzVS1PXy~ zkFW0{P$^<_EpwJFGn~)R3}CDis$cCFP*}9=zL>}+9{b#p5=X*gRE||6D;UD`r;%KV z>8b4HR7LtLxDP{>=_prw07M$jc-KR(o|kB_{KEp9frpb&(wrr@!AL_bC^C}w10UOWCHj1kLQ(R z@0S^PBUgpD9pwfVK{Qrg_*CHQM?MQX`o|)K3k3?0Z>>c+LC;{h^o?YS4w-3>VTc+8 zo62H2lLB)$o;57$K(^tITj~eby>j^YZ$YIH#91F0^~s{xwn*XI!2lTOMlQnbQKF4q z;o+tV5i|bvbuk_oa4KX9RIYnNV-t?~n6lVYy(cyoe^$#X*`+pKv$`v!>j9kuShN4# zk)2(Mth<1RDofJ8d`N_PR+ngVFb1l=8z~F3m{l*Jzbd-RkR}v4MBkNgAMSZB+0vs% z!PrUC=HtX1=;u8yu5>*}-4z4|u9Z<{C6wRv0D6mK#njA4Ph`M3aE4Mdep4b$^p!=S zi4{nF$U-`dUpaS&)_a6&+z2Sh&oj5MGa(f8?Dar@AB+ppu)6-jDi-&a4PAd8mZr zNlYFr<0tGPeX0M#f#G8zsdAUGOIvd=LmjGHL;r7OYqgq(wKGg(to8+Wn2j_**fqq} zpZYKMYJyzmGw@W$3d}N+7X|x5c-7UWuw0y(>S9sYsZH$^CS??#I)jM?NpcgAF7iO( zH0J=Ln;09yro=2{-Eu91znkV5)HCAYRCj?}*_!)}w4Yd=3?oO>OkoR0q)?Dq=Cp%b zYV(Na`JH%>su*=Q0ydn-gi~S-a2?p>VMuSEeY$2lP0@~eu3(iDs6nn>NH~k|iSei? z(b*d+B|&v*ViuxCIgSS_ z(FG)MKHin1pl~ek_0|nY_!o(K2T;-x(dK&XX$*|6`9{#3ToB7xHw;BlRVf`;?^!J)YEof;}(-jh`h$3n~NJoM=$XR=rx&C zdp}%SOmR+#CSYw@NYszu`PZwkAca$-ZMqsjn?%fMJAw+JGll=tUAkOTNfqxGfrOy_0@4E5+NW%fJ zX3kWWRN;C=`vsgT6Omcb)wg@mV9D2Xecq3syU#p5n! zZyT`C4Ss_oC~&AxA^KMEBmp3c%s%OSK^lYfS^ReR{U-21^d54RzX%giDm4wrLj_li z&Gz%=WL9LOkG2iDP)nc74T0h|)4Boe434;U{WTz>F-X?Z+`F$pg(&2@Y9nI_)>*(v zep!mCN(Gq#Hu^N2*l)f*HL#_9KJV_={;NBgR;7+A64?QJg1ftq3n6^ zb=WdmP-i?zH*h*)wpFEUa2*F}3FqCjIbFu&qO^DXn%^JYtE zyfA`3M$`Umi#^4tsaHYB&6R52HD};^QX~B>6eZ$mjzW?;O;YJ(jFuC4;KP_7ws>x& zHU=-F@Ot%$i!+|bxh(&P02TwupS9zWRVU6~&@*j-_{y^DX27D#dF`KBR#P(jlG%*w zR3hDu##GJmXBkD0lUD4-FcVf&Nj->8$yWY-TbqY-XdrV;nJpZ%W;T0PrUlA$K6TUB zgewc?K`V`@kWk{&$)w|YXZZ%1v;4Yo_K0XPbpFj4xS^5fICZJ95N@gjBIUPT=FIrH zC4vFVgtyNXNQ@$R9|~TpbIlFWABKM>E5$<5S(byu_6C*4l=_1nWDW4}>MoP)FGyDN zAAQ;~);_=k$#BfM+nUM%-Adx*1clZ z1{ke6fF!7u(&JCIVMV3l@(eACsC&c4>^Tw95)~A!ha#R*IM-I&DKLMc7d|&m)Jw?e zR@lDcl=7Nkr>Tbjc&Nw(wP;rjrc00sV7)Gs)js%p-T83z<)&dMyZG`0YY4>FwC(Iw zw0co`~x~cGlbZ1 z2@nmoH$hAOQt|Q_uE2Y~{-OSyxEmMGXZKu;Pcw#N>GY2Jc-q#j`Q=coo%p~XYtp)x zHP<6d-a|L2)v{`WdM6@9>R+Clhq4jJEL>LmvEPIkY}5I>@O3fW$K)GvOi|<}?sM;{ z3}B+FXbM88@s(_5W(B6K5{mt+6KIC)a(`5%BZ}3>DpR$S{IwD;Y9n1Od(X9jX!#F0 ze*c}GtVl(Cb#Z8$a=NLo!{$0A9HvkVjwrrlaT7ImO!HG^PEQc88lz1?(&(6(1PBDP zti)U63PQ?+s2f0D=Epw`vD`l5gO1nI@PI^q0%9&jW#<@moNX*M0@X~pnU&>i?E#9z zNm{~prfLiM?VG$>suxb%y@*9CgI%Rqmqw5QBVm7DkR+2vZ<2OWK`+iG8ql*c9sEF@ zqf9lEe7|ZGe^+&{Y;Y&MR)5{8mPC@nni`O8sNv!C>Mwy)GSHdi7BYUF8brBujAFzT zyJ+>xuy&_axH)R={hGU+r>bAeX1qb|H1X4v5t*Il2G`|cT5eeIV%K+lDWu2Su$;t# z5NAe*|D!V^-HIei6Yry>`>Dtb4XHEfmxE)2f%wFNv6)XtCuvNVI4lx)Q8-Kh+atU( zal~|IRdiG0>o6luGZa$E>Vv#M5*wJ&fE?#p{y5rWAKK=qY#S)a2WXibvslKLN|f;) zx^{yL4zgH5=m!UuocbEgFrHD^WZ;`NWZr ze1wFpjE!-V&?;1^v)lbAY)cF`_3Z?sXaPw7`47n;MY6AL!geLJ=9->WXKOh#~z35HJ!&EO)K{?FsGirgh!hm`%;b`W8@$L{?>!i>?g zE95VYw0{4v6`Ei{fwdx!fCf({a-fn-->{5jnwhk~VskNab(iA`F?XK$%9S}D?mdE= zowB*Db|t#pCH52(#ctHSQ(HPLJHT48SlA6bZbad_`R!PFsns4^XXRbYk`x)d6x3Qz zJA$Tvc+5H}%3_0?4|A*7GK!Ve@$EGo2CU6eAy23-fUL(!mJ71xa^Vbo^Fo`f>kEfN z?rJ`li@Nu}aYrI~^?}8iEy}yd^AMC??bjipzV00&=#X`B&`A1f6&=6;mOq$H@YhNL zL`YL*<1mCB)h|Vn;#2= zD$RHMYjdzjmvmRr`B&NAbd{`g3Jry$cFQqbAzeUv&u)A7v}K$M=C-#zQEi8Tj=ta* zNL+#`CjoQ+)tiffWEE%Ij5slmnGf{kwR-BzCIWDlC40>XAOKjRK)?9vdDktoR4 zZc1048))xol}h1dZvH~mm`hw_45|if5%fF7%nK67?G|N-t2u#0N9?}(Mz((ld8~p_!jMX1ZbWsPcgH5c^rhJ1qPP{# zzXvUU^Bl%vouEgKCltE%fCLHa{zo^}sz|@x$1@{Wl8fmr@|0$4hM%7qtmQOZK&#U; z{?b2z@2t`LOBDSiGDk5(3_NM+K9Tt1Sj+yEJvutOOgTXg{Mo08dfsPsCA9OiiVblg z^m~UN9=@4yUnu3XH|(S7Zs&)dOGS@^we#ng$asZ7BwjW8Z<`H{B z6(=uW(c2+`OC|IaY*>MvI{%JpIo_tNgs7}&iIQwJ;l9zF+`tdOnnI!tgV_mo%*t!| z{5y)9L!7w^`}Cq1(C2($VF$kN{+K;m{8kw?qEDtwkM6XBtokz;I()&}n9Dm{F*1rNP+DdlH+PE8AQCDXAsf~Khh zmT$9L)Hp*{_LZhgPkZ?Qer|uGveC8M1_D0Y7jlutMI_b=oRakftNpwX{xkAw`KA>5 z<>Lv1#_$neh3~4g{6s|rvG}iQnBbl%)o?ad^e`x zYY+(Pi$=6Z6Mmp*N5!z4`wGfIYeK;w#<>HuXGLqSg)D7tcavQR6H}!*qH=qG9&I$W zE*@J~r4x{>ri7DH8A+ojZBd>by|SS6wRcuvL43xX3Wgf&o>9G7cAU;=Wi<}fl{Z;h zZg%nvd1^AAW*@j^j31NA!b2V@?E`jVIc20Gvv~OqxlF|zWVL7Q*Eu$BpRi9@NEpv@ zurxa|R5~zY=7yM~!&0sm$Y}T3n%v3> zoYOR$&)8qXYw8Y01r1BqsGnp!;f-Zr0~e{lK{RsiYBlxGG1jy~)4&8>lY21acDNI| zEYp&hKI5OpUfXMh9~Vc0W2FqTLKI-WG6^T*+|rQaU53tMpwutRy~2nR3}+cGr0dH< zm3hA=S{Dn!Y}Unnjma_MKRH>P7!MoKx8rOz0)16aO0JUs23BEXbg#zd3N;-R-U`%x zG~NZ|{Rx;!9A9cTYBVnaVFm7{E8M1$^sUPKds$WH*E}YhM5Fr&ZUm2=Ao8Me! z8N+YaH|$6K>kiS*T&Q8Xg(OmkHEFc?v}A2(m173loexV2$1*v_R}D9rl-w3aI_-zu z6DIxSAj49`8Lj*xhI8D~r+0{vU%_*jtN<_NKkF`LQaWf8?o&uVP}l^CWb)x~s&_IgJmYF;;ti8+ z>cRMWnG0kJTEl8tus}fu87Qci(nttu<sivh-6qI!f#8&DWSd|q&B*Y8wN%*LpJhsp#`b>VE)im5Ip@%di3fXGQJy-l-bv~sl=3ZjO*pG`B3XBA zLY%p0NW;ddv<4k`+gXo)lXPIKRPw-8m_4}xSwiL_4alZ1FOg=C;|deWbRGm17{?9oGo8I1x?we zn)a_KcTbcT;ldquWNHy15Mdn7Y(bk(1{)Y8y*T|*FP;X%?H zGIJ43>0Eh*+^j1q&liu|Rd$N<50b{eCG62_3DSAfxLLoL0&U}Sd(DrJV#?ZP|ocrA9+`epoDk1nm%8h4Aew z95|NIt5PI5K2c8(lmy;Cy2}wDvYY1qI0czdvx{gbgR3GUIt*4@xDs8)u%9mamqqBq zVwi1_5=nLuKWqIe5`lV0$_J00k|O=XReBX$bV$(jWjBkmi;arR*Bhc_$E~>#txNw9 zV+lo6if zEuJMy{5E^LY1UeOZeX!H&x|#|pCZF?!Jm7gGYFh6;k%8LxM;l_dvk_EQpPDRS<~SV zQ@B}Hi=>0{pN$V;zsBBrN8Y?6i@T7Plex=$$*!1_9?=}+Qf_Y0G4$k;O>YiT*$d7> zB~>!~RwU-An4hILnspgPK{n-b9A?9|oxtlVdJv%Jn;~?0}-?!JjBOT~0z8GZ8Ft5s4a5wsD^R9tVj+8;5-csh|0dh zK-tBqJblfYY8U_BWlH#=Fsuktm${Vv-Ecdu;0sBYKEBnpkS>wOKYFSz`(y_wgB(R0 zJQ3$fDyp9$Z1}yhmAognRll@0AI(AEjR$q=&Dm#UD{D-_-uX!{2hPo$x$vsebYelj zt&LwTL(LMr1NQ8Ky6jV+XWW@<_fAg(egfc_f14^bu%h z)(T<;1}cQN%I3Fg3fc(qlJ(?1+~ILs#LvKaUK;OQ#YdJ1^TsZVx^r(#md>F$#Bq)o zc=PwBNQ3o7wRvUpu{w#%1HE~<+uqN2-j)%>SA!+{CA+g3ev@`{yLbuCamtma!+(7K(OSep@sgK9vv> zAuh^uU!0qgvmGhyatqT{b?jO~$Cct56z`~(E{QJP4#3suH8{<#ObAO-DK4aI-N#ip zt}{;aJ=V1{Ao!?xeu3i|1s;Ty_sqx)}pmUA-eeJ-4|sY*VOLqY1fZ}_imyG zR4w7`b~w|gB=_D`VuCfKT0LvdhuyQa9EW4zfnMZc)z{QIBT6;-FT$5q)+P)l^8 zwqutx9}+~1EUc+6p|Wz&{e(ha>F4=~;K?6!RVZ1livB9WI5(72U5Kd)x6oNr-Z}!} zjgrnUTbvS3c(rx;RlPla&soU}4i2a+K6#2fi4yCQR|i1lLVLndC*85RE4>t)rq}Vn zF#bx?nB6dfTDe|4;oLV&Sl%xq{>XM?S$Gu77rAvm%3d;L@>AP%G+%W(QlPJm>z2zn ztIP$eeKZO8Rnv#Kqt6Q7Dw@QdFO72ldkoI|x zE=+%m8F$#vvCU5%@!5d5<~12+TVZ-{)sW0Yt0ICofI?YYQ=TT`Z&XX3mi zLeA1mC>)U$fnR+;x4`g;tuC^}cG=8NgD(Y#qM~$|3~m|`Gvxi^?B6@st{?XnsQJS+ zO6{EalINGjyDfgPAHsX z8Wdd&?OIz`i#I&+I_@6#`=h$&3~Pjb!17i0zJolPf}!(4R~KLJQK04so86dsq|GKy zO=Ol>7fjKz8?sJG_iwjR2FlvwTwG^bU72H!a>WIjE0cHw=T5%;d>TUxcAtxm=v!5u z12j*Cd*(9(q6+r5f*1R&_W3d-`KXx@O_FxYP=M*=XfgZx7~fkdt!!U9;CB)_sbmLY z5c+z)^h3LJCw_$Ij~tLAc+7h*4=z?DjyYa4@C+o30Ka$T9*lKT&tnMpU{e3{gRVR} zc7-!-D#*?5J(o9To}bBbt*dn^c9m$PPoARQ1#Dse{5& z7Xc2}LSTHMX^~fOeYLaa!LFPPo0eo_0`opx^WP`K|h$vus;7UDxhgnl;ut2 zj)Eje2L>wueGCK$xe@vo4#jICB%Mz>6BSM73NUgRO|cIYo0OuFsNtl69y{cPhdx2g6g7^qQK zxqzreLSaqN%v>$RfSi|t#yRa&a8#w%9vwO6$0YKZiQ~^%AEGE+c2@1C#LZYY$5t0G z2zv-(mQ{$C%36H5)xXEj^4vAdMAE2_g~fECK!Cl=N`^#sOOhZyQ&Bwx0pWB-lRSD- zE<_O37Y(i~+egO0zc;D{zPQOrF$Xuaq!mWb7W42l!H_1I062SIN06^sG}+E8hweO3 z3UoJQYYd$M9Gb?a=&zs)XxIvU-oj~Rv$ZxR>qqw}AqAg`i>1N%w~~o|8d+ZA;J&z- zt&9K$*7l1Ls>NpQCpnDLsH^SA1i_8oH-aVF?Xq|4fmp-I2G{|D7V6A#V^htf=Cez^ zFW)x3IR+Xa#fJd0mW!kXyy9t|#TvrUc1hGG0twagrbW5cLhUjs@TXDcQ3Mf>E-0ga zUq?esG{0aBIoB)k)^1WzvB)kcTGD!zR25+wPaYi00tzbJSU2B*Kls%@6jq1^AwWyj zi_qy2Z0h)%zfaU{%O^5f%hqz$5TyotBOTST_#~al<}`!9x+w!h$TbXpA3?4i(-+_X zB|@cf)r5*~-X`bH@W-nw``moS!&=De}M)uBWTK!)P7;;KEEOiAgrjNU<^L==M8 zt$v|t!Q1kEd?TTSyG^nEP8We$JCb+j+hxh*e25_yg(SY=Rb~1&Ep2d8`8G7Az=$Wn5WELZHreFd0LNU zbIPRUCwgYOP!l?H1*-pLU79q-7G(`p{`dF2b0AA_(X~)wXWF1m=OnMny?H%BUlUS} z;d@D#;)@`Eru;&kSAY_id6RFP*q3j%S^ARMDc5xowh{GL*;Kbd%aFOk<8RpIN;1hF%?pwDl7EZBCMVChn2|0Kp)BHl`=?oD{X8JAM;+#&BLIc@Ze z$5Xk``Ug+;xZ&sZ2wF^|2J+SL4XiI7$5==14sa*|HaS90~7#C09Akiz`)4G+2mgw zjiIA~k(G(FwTY?of0Z3A%*>quMgSuVMF1p_`ZVHjt&gKwQ4?xNF=ITnLrc?&B6KJKk%=OzMRGP14gfLAKWf7GP3^103P8HP+%b4 zBq5Lqb2|L!9#v6D2Cu-v90**X$EO+;xdIO6q(pks!qimEz+_*>z%NU>=}8EC&;e^8 zY(g`nMKojR*DVHtp-JFJGc(-NM<6GAI~# zNrYKtZ+LkZ5W#O2->))YoZXr=pjM97Z-ke$mm2~7QG#hxbo5vRSyLoLhCyt7@McJ0 zWxeiW|F(fuAXB7?olw)~=~%gM(`r+FFXjh|Abx6g(9UE<$aG%TS2eF`bopA8$&3Lk z>z@vh=^caIQd-EmWCv$^AVK}<)1HeYa3Mi-Iir`|Pp1Y~Br*2z6}?^BU< zlrlE3&t>pp%8#_MB&aWf3|1(JT~Lq!kl&p^vsyr-Tm7LAZtir56te`9)jRuT2;QC9 zxH&+oax(tjy{h?T1kM06W;G-r2p8Zt_b;ux9jKfrSbgYbf8a^MWqqi3{<*wC!b<+T zh5G`1H-Dnr2rq4*-J6-6pXl6ElQXEgm)DWcxG%?wiPN4%C9|)FgC3Xp`PhG&Bv*W0 zAZ~U73;}U@B*I=uu-8vFR95C&Jr$rI2bExTPLSYl+Gh*NAF9=-nlI)r7o17|pV*T9 zS7A*g|1*Nv9^iXmy4>#8@4Srfu!$dnK0mRy9*0jqSkE&!l)i<(LJmYeRP>t13 ziB$fh^`5v%d^q58POc!o9%>+0dcs>jXSp;JgO^7~4t~aaM6}a0`)}?N+`<02`8e0gR>=UtS9*0)z6U2VBCb7;q(paCFRgm99}G4R{Pe~zT_Uyr5^DU)CHn=)VnPQU*!+sS?jmX&-Y7tMuj_m zj^n>kvXn!5llB!22zF|Y!)G}kKh`~ci= zC%MOr<+wh+0cIe{w+SSdUX%(IYX1d3dhYZ*E#I{WS%=&x7S4EG5QqO&6|lcrrnu4F z(d%ZxX6h*F)|&c(IjHuIM*l={%g&gnwD{bN5VI_C zS9Q)SGS4Lj1i4(NXVv7=5Hz;tbV!_u!;4e?0^EsFV09M1C?$uVbV^1o=NFah<+;V$ zaF9Bz-7tGx|1sAVLY$7qI;9BC5SQTi1&u~hw7iarj4Nr5EbrbRmzuJ?i8ceKIhC`f zjM5ud@eK0hjg9%6o42LyDfi=#w6KdOZ2>l$@YvI0yl%I=hj|@6}Sr!?$CPF)_e~AFMWGZS|N{hY2$m4OBYS!J1rL(Mau#$M@Rb6QQ-2)V`;oit3Y~ zO5%NOwnt?Tb#W*B(J*TPg}6t{ne!a!)Xx%N5S$ebHGa}3Bew}Su&j^Bd{AkfmPUfl z-`~i*gr{?r?6|d<=W2X3Bh8|j4;MC&Aa(9#bh8{wUkoL(T|WT|H7~oXFN7SOpwf|? zw7<^{7^+;MtpwMp1>EVs)wz2v8^wl>YRZ*BZ&0`?wKuyoZC!1l8_%*H?w`Kh%MgOM#e4h5=q+|c96Vr|D&S8^AXn*6RKtLk=(cL? zuPEDT5Cb|+$AVgfw=mo8v%h9yRE%|CvkD#U8#oUCc}Ixwt|9old*s}&Idk5kNVJ%l z6y5?eIgKTpTRG1=F1pqmV|HK_=!Y;W$hoI!ZZ3%g?sBd~LgJI|gBdpxb<< zrAPVSLQ*dBRr@Zd-8;}GdZ%to&W%~Ef>2~Xo%RthSh1s>?R+H5wHfb9b-V<1Kz* zLI=OHAESZG!%Tv?VVX1`kz15M`G=H|&|$Gx?U2)|MHeF~LjB93fIz8|n&ip!6-Qf< z!M0;h%PJhyh2fpqJ>USMXn+v)QU2{(GmLsowW*W)T5wZT$8NyeO7d9!J^_5$tNW2U znpC3OxzeSNV+suZvp;yojfM(W5-jz38MkaNO!>dsi$BmX4X>ErI3h5Q99JYHTr>`0v+lWlCjl(R$D#4Q zKTN{b3S{Yv4545DFJFLg;s$w3gs`4zgz6x1hMAQI71wbv$Z(cx2B%4yBrySP?W{_B zlKONVdf^dOd(=)1z}<{|@=-CwqQ|chvr?00bp)TjDerDe{4lS6Y*&m;_&`_P>N62X zOvI-4y22-+&SIzFSZ1b*c{T9Lex6M&K_(&&Fg$Az+WoTk7NRI!_<@Mh2RCVnb^M;Tx0*_=yO{(i95FS{@V^SG+?%?7%l{n;NBS- zx8P4+!@CkKg!ot{tInSU>j54Tj`MB`r>GyRe z5Jy~em9{t(hOiKIyS6BQWi)3GwMC?H31CNrj9b$DqTJ4Xh7KGI46QcZ7 zIYiCxZuw2zX+}jQ8o}FIh1GJ=^n8aw{waJCO;sGG=bkEarQXPpm0mF(?da+7`o?m+ z2Je-ANF7(4Z0?>Nk|0Q{2)>gFE5?`rk3SxEn2n=MUWAKH+nt=}XivKpZWQVZlf^fI ztabxqVooN9_$L}gSdxrcSC&N;_d$eF$+HbDf=s z*~co>abnTNXKLX!seE^r&igsJc#H39f7YcbCE!cV7Tv;e(sp6nj%7zYYU7KTsJVJI zODluvRCGVZ;VGp(d1bn-O80VCq)@!gBo@j8fb){ia8l<+9W%rBcbe!Lv&5=2mH<`~ z`s_PWsrs^NPL)nvn2NS=QhQHzd!R!#)PI5nKTxUBqE?l&6yC5_qQu$BZ!clb%Y~Tc zg7Afum3tCsyY1P7gm4s=#yv_K2DYacrHd9mne*N`dBFLki@!<5{H{!^b#}ciVTbr6$?pwH>|K zHDutoF1{h`+n3XQ1fzr$Wk20y)L3GnE*Ow}|2NY^UKxt}(8v2!kQI)q?^MJ{;nly3 zb>Noe4@(oW8UIlBOrn0Ghzdds0HIPQByQFxIzesB`kP1Ua+OZai|D zOLDmgC&ZQ2NZ~plXB14O>@z_yJtW#2n1Q|o4$f4% z-ZHS*qV89CaJG{4Waye!XJ9z{68jEj27lHqy}a+EM@gRE)Vet*jjeTE1CQJ^<)#o|-SLYp^Ir=eqQKFbd1#I=BY#RpfhQewNo#WYPD|r2^O=y80y{vPNp8ktr*SJjKNV!|lo&#;&i!bPM`d7ANdDd_+>@4G! z8T8)=>h^{~=~Y9i>_i@B!yLQFo9K9r{yXcg;9U#fx98rZ@M(-y*9>TI} z4xZ!I1$0RYLqozjOn)R>ZGbv70pL5uzt2iT zv!VYGwo*r=S`j7!OG_PaP@B&{p_FVG>+O3@ObxRsPU1I6h-_hwooY^K<*S4B2xFgf zl*?>)@uNXo)z{Ll^T%qWLG6wNUhz%<1r?FBX1=6spA;>(KdSJ`+L+!D4^a+n>RZzt za85xn7dBL(KmpS5mTbn+ucgvgR|FuA*l!5XVER3o-v_61_d`O7l>G_(cp5YYgp zUOQaECEKC+Tf-39JNa-lri-k7UN<%rNmYt5d?_eM0PVaQw`|oUdfP+6Lfnk1@@YyR z{RP6QVx_spgO~8v<=^o-3W`J1>WJCnO+d^!RtsYmUqc36`k3$a4|v zeSn>(#Ol%xUJqfJNH6bUJ}|ln%{SN)qZa}$&t+Lb{kk;frkHKq?4;o=+5J3GUP$F{ z4JMC4>Ji-=8jC||nUyAimyz{7$?TJfr*MoaijzU>ERi{jjSBiUbxMmX-Ur0dVG~B* zGa=Eh-yljc-t47Aad=19BORzrVcTxa6cQTHGrH}Hr*J@j2J~_!opuYm4Hf~d*x_vq zP~oFw;iYhhSx?(T7={8<=a(b8O@T1G)+}%3Zk<6a4WPOYA(aO=xK7xjgwBfbnB)+z z<(94flHoUlZigS_43Rv0wv{$Zd}T~U)sXk;u|@88kC+HEjPPW5B+k#8@=^KMg%;t2Lv)40QE;zSDzlZO`P$Fs{-YZ z?b5&+x?c$TT~wy?m6$0)xTw=Y7B~6b5k|u48V6JYLELRgr;YZh+_9VM7*-MNc(h^y znH2Uu6RM5X_%L6KC{b!niH>Ia=6vWo7LeXiin_h;r1xSpgeS`NL@VMyU3`E_;is-d zg?On59&+hdW5xA`ZX5KW?q81|Xdc)pjC5gyf-*`%`?z%613Khz9`w&mZ`?yQ94_Tv zvzP12TOqUNsw@9Zg4!H=FbqkeHmao34*JyEL05)#I zhPm=3z_&z0kq6mPjS&~SwQYX&)@qddyL=QKWqrHCtfcDida^V8tVCVN>}@Nxqxh!J z0Dj(?xg*iWJH*Lk1fz1WT%feM@i&;5Hm{V4>^4v|_N&2_nQEttWq4A$+Gr#6v^8MiqN}i)W$|QAQBzRV%GM5zrcV2qgw@{5F@L4g}}E zxXT7cr=39V5h${n4DVPbiR*s1JS&p|a|6mUQ}A+?Wr*}|`%LHw_NVB3PyK(6bEgrw zAHl)Q1pn_0^~VlMYkEO(GNS@B=P6x<04BR3&JMN9FlMMSQ)egCh}ZEK-n4ml4=kxi zZ5g#StAWSkZgVqq*bAw#H#Y=V)#?(aKpK)DFhL@9_1~JZ5Q%le?g2%h;bejy`oLw! zFxRDrKu;@ZParNgIqh|sd0LX!j8>RWJnQ1L*j!-T5}h250BP`gqP8nZ4$tL06E*<9 z(x$UQf@-e;Phbsy1kv@%934eu;oLzUu*qptp40m~hn`ooi5V_4-5Zoc2!R_&M@tUI zeE++=Z#!YwjV{v75(gssxRFP2mxmm!Qz=;5$mLA!@>M>rtXynk3j2CU<{gAYMdiuF zX@-B&WLRha3fZfO37XCc=@>Wm5QMl-;sC}J^J>eiNwE7RH!W^U(nk&#Rnf<~ z3I@NO)#V&IWUopDD(=N8Z|}RkwawiaQOi8?F@~gwPxf{>&)9TPHuw1i?Q0XT#!N2q`!-i>nwaxJ{jHV7a{4-c& z>lokB{1lCJd43cVK}|A-H+GlcT{DX&2J&a03ytF}sdM1s5h(Z}4@E=byL2X{00QjH zDtJ%69cZ>0q1ip{jMGj6p&VNqqAhnZ51U?+8VAi8TP%^@UDyrM|M-BmE@f(LJmh?OnLj30j6uQZv>_m3qlF3n52_UAeplRaLpLtOkOy zJfbuyoGnZse~_&xvcXx{-MS!_)#sfstW(zIQi9C)DSGAz$Hm4T#8a}id+%mGgVVpM z;x}FQWu?NS4#PAJp&Q#R_WH#qI_&1b)34jAD{%|jC{$6>!rc*w!t{t>v+E~1$GlIY zd?7L;OgG}LKRjjVR5(7Eytb`rSs&_96m7tjs?ucCL(eQQhTf?k(2G=IK%mmry2221 zn=`g+MS>Zoq)@E1oBrl6gC|g7d_4Ck$dI_v`h-#`I%A_uzfhBmQ>sy#i_S&JSq{|| zPcMN@FFoHxtQNJBcUS=NY^$wFp7MZ`;v@{T%^J^nH;IPa@5nfO1Xd=C&|#AZcH2WZxoEaZ1kJKmVc?>5wv>d?Crzhg?@j zss+}|=8lYu7;&=YUrh4*%UDm6-MN{?&RfL|LpJR1K7zA~*4kqZ!)L&|{_Nu!H=bmP zWG)#X9%`+Hs{DemI(l_)2E~Hkeh)wITomeHDinsuk9fNojNRaFsrOZOuF8Ne!3tKS zga>qRna)W8F8D;}CYPB078&4+*m^wiL)D{2G&7!iraZLh?8}D^ZM8fSm~nyOGR*PY zJr7Xwod;a8r1R;XG@<(^`I}RYba&M-&hlUu& z)4FIdo4$27$z^<0`+F&S>IpA~u@MfA8xkLHyDb}EDq@1+H5HnfK_s&^m}?(1SvW}q z+VuwH5jLcuSvS}H4~4GkoYB{M%6>ZWC8e>eLxQK>n+yVx>KJ3 zxjOAvW&@Bt>@#w;$sANROsRy91XUGg_;uClBW-532wZ;occ%8Vvp07j5##Z zNqC1>Xod|ay^tA*w^9kFeFI^KaSMEf!$Mo&PwXHl1BLz0qqM{thyffog~i-lT4l*n zYp@%mY)S#&8uj|_%_Y0#`6aVZzv&PYa}yD>NHFIzn%n1ib6m#$Mam2PUXezlqLv}? zQ>aAok+9C}q!oN94|7l*=K zyU)>ixcF7pRFQ4BQF8I#FhrSVg48ccUC#HE@7hn&IoLcN&b4D6_n|;%+tvWsM422l ztygxWbIc$JD_G7%Or&uSbK<6piB}F{$%vU7ED+aXbt7w@7HQO$o_)>OeTDVN=DYkr zaMsKsx(@^@BdiZtuss8laPLjutBrRWK2;;l8I-IsD>*&g2A%shAjaNVK{mxicN^sx z_Tm(7H*RpAtiP!!4ZvPPgyl+2D7$4FVz+yM8RxqS>zv_VViIc`E>w4sZHY=7`z7#Og=nrRg9P`%Tga^{Z^bQ~EIBybjCD&cb z5da$`zoCq!z^etSRfm#e57_i=047P@E?5pd#X4O>DlrSZ+&&7KtZ!pqIJmRPsH`5} z3Wzm+UoncXeI^Ua1sZJ8Q+bi&lo2geFs@5%D;=4o;@jchs30GABE@6(!BZZ^Ln~9Q zO`?^xh>5Wp_%nKOm=qVvxa*iET{PBbYBk93bNB3_%(U_1AYl!`F9LmkM7DNG#)Lh`(jN`lr>(Mxn7o0!JT4=~_pr z^y)~YSER=y=Y~7o6JD1`bW5ZPrcM+B#{yh>?twsj-}P}oU~$=y5l9=;Efc&(gzy?$PPU6>Zzlzd2w#(1n->_c-*F=fjn>6!`~+2l>;h!PIQ7 znRnH26AqjTDmL`DF*x$k@F zY&8^C>&o=#fZV{>1bDyhp2FlZA>GmlV39QrNrrG|61clUMqflo%*G079qVcem9xts z@*{5vgqY|d0`uw>LHPijK>wi~JEnuvpudYsNwl66AqO2#QriR@n>36zbM-zRA#;?8 zGOXfKo_vb!)l!(Q^U=4%@uhv=x=uApf;EJ2e4F+y=AEPdr7%a;7u+_sHFn<(l}e0n z`m1#^)F(boOcL!+L=>vqs+3M+h4d)EDtyy{4_QE!3ktFKLM(51$t(OB6cXesM{1`Z@I~4zV8YZ5*wc zEPft+M3o zNR=u+fazxvVEb#VZ1WVzX?4l*q)X8AOWiGPlXNsHbXaLTt7R5nh%Z zs65WQOSGCbyF>|Q!IQw$LfjtKjM&x$4@ww3vwT;dv98b!0^IqN89O{n~y9&^^eKml5_USIH=h{8|y!7LFY4nrEJjY zZ{~k-UgvNY-g2EyHTd^q{3rNy!p48!kEPWtl$5K!fc#XpBZ6kIHw-VN{}z@z?d$Hw zF)OKT+xCrMJYat<6K9X96(2vCSYv$=*J#O{ACwyV@dMm2dQMB)+R?Ahhk0VXE1xy4 zT*+09Mp#W8$_B`RWlZ9Bo-ZZD4k@!3iFm+!+%{J(VUWo{EolEza^0SNh*P}_lPT`D)>LKPUNK~ToR;aJl+tPEB$x+`L(kXw+Vt~ zV0llj=CpC>6qw?7vnQfHf+AKVzmN1QEfj-K;x`Z`tTxZAtPn{q754{>N8+EDPhQR`?J$gDyu3kj8>atK2>Q{D|3SnK3q{?%La# zzqL3~yWHq!$lTuukAjC0UBb4Al$P^@H>#)efnq6%c$cpSgCymyTw|P^H^Grt;b^Vl zSLry`HZ8!ZSk0SWE~?=tK>Qy3Fw(VrBy9>=9A<6O-RXe!I7qAyYEuAR;>2B*wavb&#Zz%sttK(lk7h zy9{|`X#Pl5eYU5nx*{iTJ-ttOOKnt7L9^7Pq}jeWckH8SP4{i8 zCTW!`^*U$v)+#sFUXPoTJb<8OU7Ut)m6A>U5-UPMO#lk(et_c$%|hv+(a$zlIZ^S3 zAyPaMa%!6e9RBWT9JZh=y%fg3$dOgWuO{0ds3ppjTC|--_cz+>E86uSAB25m%b|>yA9$d07B9HRQbiR^oHDy=L-_} zU4*?UZPyy^>!qPl-=a_gM)7#PG9)q+qt$Z1)(tfigUNOvC`|Fju8!LcC{VJWN`AAyv+|o@IEh$ zXIq(3wVmK;o*8l0yB0QVqJ2u&Jtfm+E`6bkia+vJ6V~e_P?kVv_p~YYguWmLZ7MZK zmI`)#|1JysUY>46%@Rijhh&{5$(fr?6etPXg4`;ved1 z_TLy!$N!1e{J(IT|AA%xPn;&(e;bGY!D%wH|I5kzKWj{cYz(Z-|5f|%oF*G5C)RNaip?ZGu1I5&_5Z#T0PBX>WF(Dx|2<{o{+hlvNq{APBS1j-XIcAi-qD!DJ=^ zg#J)aq+b9bFhz)bi04pFkVi1!btsO-B-B5Vx4nc0)AW?qseX9Cn@ITnwT+FWKXz{Z z_1vh?LH>I{ybR;u=dn{zz#YKSNJyBdA#Y+(wwxHK<3gh1qa!0?NSD`C;R0MVx3{3) z`ji;{jEg9dkD**3zD=;RkR3vP?BwDwVCn6>JU`(wNV1d!49GCOFq`^Fl$$6QyWnoY z#K5bYKqz!N{sEAv-y`ZTalrh$HFH40;2}SF*MJ+n0R7vYX?-ZLy=&l5BYk@_f0Rjh z7>3zdG~oh;PauZPyELNJDU^UGNUtCRTYbo?zMK9&Ab1lJAk2*&y)BR5@eGK`W%(47 zS88Fud;0amsu0|iMOr(A_9*4%^`6T6;^m=S&oK*jtXx7!ymx*5rezsgixz6oal3ee zCwFVZbmi%qdT48j=X*@11>Gfnd(S;cq`~BK@|-LqdRK8K7Wxfm}lSBz|IJ(S&loH|w&* z`e%WxkkH-xfo5xFdgPkbtvQKzZPR39R;hi_+c^1-!sPMy8=e=_{{;(f z{{wH26VCw^_=WuKH}Kgq@e_Kjr|^yF|6|6Bt!r!B)3n*M_#*`C8rEj;J#Tb(9@1~9 zhZtZ2^vN$nm+yC40qGL#(e_iO3JX5$D1dc+`Fumv&%>&3{-=lt4&31lG=<->K@ZF+ zsIMRtN^Z3V5}c3_4&*BgVS+lG=6UXRaR06aCX#H5U#Vh%2x>&{68Tpekbi@3HR%1eIZ5+Kiw~r7;2xz{B}y6}xQElY zV+9M`0b5Q+_LS+q!%_3csv>0Od~-ySK%M@xSra>)ps5tI>;25nHqDr)`90FvHM!fY z*j(yusDqod1zb91`4fQuo)y-*-?Hm!3Hm_bDWQOgKA-*Cxg^}@ybwKmy5Jdb$zD*IowG@z?32`Wz>Z zkiC2B1T1#co|y@1Z^3eCn6718#uZ>9LykPLr8lc9YUPt;?Qna@E*`3b)he-!qAZ(S zTg^GUy{ba=$k02@;Vp1B5)Vuto1#5 zzd4c;U9^tlLE%7a)B;XV@avnFgzFAiKO3vq-kFz9VPWdL+!*m@+0#D~6#`%3u{yE( zfnR$qJI+F)#5-LbM?y;ROxC8vl;*9wX{c94V8M3oIB5(>hEA0EME&J#PQ=pHxR5Vt zG29h_cnUS;cR)w>J;?AZdPzkEG4&xRTBowJkl=x*HhT*(YQ?&0=j2 zks3B>_n0(C$)*^2`-t0gB#Y4*wJxs<*y+aZ^ju!mCFo4*{(anF^*Uk&KXnIaH# zwgeUM_#RXF+=)4?DeK-hH7C+Fednz)qu&u3aSk zqPfYkrXz^j6NQAGm5N-7?W4F)nAApo**Lw1hD7dshiTs0^UhUl?DjeNTxc@Q=?Pev z%yC$sbaXOQ@kjp&O&#}yL)D%*X1_dH75npF;Qc*hHovU@fHKw~Y#T*)H{c0+u;NGOS!ucto)Svk`$n2q zdQOZ9ziqq9U*cIHe9~9iu_(o2YO$j_fh1DrY4XJpaes9E#)bbY%V2MhD^0d(+b|JR z_$dweGky878ps{Vt1RcoP_D2qM0gY3e(8L&^v4p>$N>Je`xY_U{mhUeO$v56qH#JY z^E@bDc~tzby9)-G=-)9SzFoNW1xA;S!55A^g-oSdlTOEXmM}BMZ&q*J`O~`6H`Q}V zvd(a7dqTPGRQmzyIlkC-dv>x!H+X=2qIJ#{mC1M02*Ey~RRh2GwSOk;t)vnC&4|WiG zED~OS)2K}oDw0*uq-SL^CZVd6uXD#Nzp z=}E{m=3q8O^foZ;gB;$WVJ!w*GVS;?;=R*W6d}(r3)@D_kgA(L$=l^^zS?U}?Y0#7 zfpmAUbKiZ+IrrGhs;;*6-w8RM2kwKoh(r*!fx~^hduveMYUCw<#Dr?2aJ#*iR?dh- zE>9dHFh=JH#}^7M_R9Av6lX49%=dQMF{dLfN(W$nBJ z&Y)U_P%E?&siE}^obMK^z;%zRcS0{%XJ(tad*BEQ5@em1I|!f1)_mP0*)fic1@akQ(~GVrhw3L2{o;9$9?*t7zDUfHvZf7(JmsWwo7msBi_bmw5l?lu z^%vhfWOwVC-HaOD2`qh`E6>d)A`RihwK0tqPg~@2(ebekmQwNj%D!&C;kCFugzLa7 z^q&>KjO+2g`E)v2$$u-mH!pM%bd|>Y`cOCY5xzucRyRkz;a5JL%(kt02ZDVp_}YP# z*?j{O#LOT|46YiUMSytxiRe6a?W_S*I;E=^yQ~g&H^y&8dX2MGgI2WD-$fd=w>s0Y z)s4@p+-)Hpqa9OA(iWzO#@>GH&wmTt3wfx>AoPAuJ(`k@v|V%cm-Y_$ni!Cj%bNiI z9GOEJc=%{O;2|)Lnb}>;-h?=4e<0@Yw9uv5o5M>p2p9ED5PG zwycw=a;GHqpu1S#+Z^*SO|!9oR6#{Qr<|H8}+PulE2%zb~0L}Fi7tY0&pwiv&4rQ zqF40TxQ8-4=g-@-YbG6%yd-R^?-OU~kHjr_m#_j>agVHVYO_yLMP*4Lz|u?YzVo#{ zB}j6-v~04yjDP~!iMrI{&!BS*qDP9L#==PdP<@Xu6$CNh_g)6F*bTy17nRtaL2`$S0&q3LuRuG|S| zT{6N%BbXzLa~-cz>$w90V(OQH#2*XIgYwLQ5IGm;S@BwNu+wpGHv4 zaV)P$F*wn%0oH%~PZ17WCcn(?TZo5zX#x*Oj#L83 za?^XC2UBea&Q~q~p_bd%2YsW@=x(f&7oYyT=AT;U!LBQnj_y}tF7VswHUx>!rRUD7 z7Tq^J2WJGz*VSK_tn%3ob>tq#HG>LkS)#FbeUdI>=DY>|;C%~t877jx9$aV>Q{z%E zf%hqsHk3GuxFQN78akMpJx&NIkwULRMwPi zfub$H+DCPP!KyMGS#qw6W5W&{H!yB<@u7Td7b;#J)-Zxhu>IG3b-QAA8Vbg=EP&sk zvv1L|*VM%6e3cV@4$M`MoO>5XqTQ^{(7A4A1EUN~b~LcqEkZzdIxhAok>bcja&^lC z;q=1`njWa|wkWTlo}5}% zdvwq`F+7CrD@S^S3&|$(Ojv2^Zt9MWH2+4Ef3(O}BiaRkCd*F+t7f-pOVk|oXrs^} z6Qr;TUHHNC@3${Bj&2-L6t+m%OovE z5mNRw=Q%N(m5v9y*}i0>sL$3F|85Ium-)u#Kkv|uXBQR>-VXd~GbcN}Kv#?_f{}I< zsTR4p{xW{t$mlbL+;H+${6AQGhhR~{cFl6zw(WhkZQHhO+qTcPZQHhO+qU}LintYj zbyP+5pubV(BqKG*jP<UA*ci1AEpr+Z}6RR7HbM) zYqTmq59`NNGUDCilE~VAwEFW5T{Z85kC7#d#Y_P>lOaXT-X5w`PZUYUkM%1Gu77s6;(4 z?V2aDe5Ls)7T=ArxUyL0c!T_Lhi`s;$PaBkm0ZTI`Z(3Xy#!$dg-q7q3UvQyhoH0 z|NBJG#fG{16hxc&;wj)!3*+W=QT3CzUn*`gA^U_WR!}4jew*v<51+6p(~ZhPMWX1J z?de>!)^aEKuGswz%sB9p3PG%o^1m(h~4Fu zKzM;Rd7sN7_ot&o%n)_1U|_bLZ;$|%fV6u1rzgZq;15_Uljzno$;+O?qg-#St|4RP zive1p`9m9-{EgJ8QJgxo8Q`{X*a3GOJ|89n>tm1b*33vT(yD5nSNEV!GUq)V9gAJc zm{exOpOhLOm_on#0!=T40q-<+m((jIwgF2!OGl-0WjmQfok%B7t-PWqW_)BIJ}>HT^PXA8>)zAf(Xw==NwxX5T+Ug#`NWGk{D88?Lv5+S$IGg#jXs2=5{J%!Mls0HA~ z>p<~U!`;mDM?ur$C>8R@-rHs0C492fl2mJBy4qiq zw;nONmp68^{-zqKdV%58o6YF^HF+uDd_B#S z0XwAr^-a2FcNKQa7Y27!aTF$oFEzTGZU+aQDsmC?t-5;YPKe~_(2jEMD>>seFmH65 zh?r?7GCZU`tt_-QvsDrpzTa7cbA~k#mhI@S^n7HuMQ~Yv81)UM@9dSSb)EShu8IF- z`dWR~htM|s96K}Q+pQ93EAs+1p=GyIm%}?`Pt7OjQaki~u0^l)d9)XMfP3|ym#&;# zp>;nF_-rO3@9Yeun=Ry)7edIF!W>+QzryFXEt%z^K*a7}4J3VV;S9+5yX@5Or?tf(BL?P{GAjFuP5x*X9bqKq(F+r45#1PXK{8Weogd-mK53!uG@nUcw?NKH z+Fyq)HfzBnHc%w7ZxilDUfQK2e7MbE&T_hibl)aLIaX;Lpe>&=RlN@_W!PFW9f9h0 zNyUkP;18eLoy7Ly0zl(@<~4^`Kz3n~;%d0T%H20Q*sUnb^&On*>*MqHoA$RBgK7H; z4~jpbU48H5R3Wm=$A(Rfsh0p*J)D8=Ed6?i?mpIf0b(U`QdcgVaB`%7K}tah?V7d{ zi@R5fm(o!j;@9L0#voB~uU_su;xA5ER!D!#7*b8H2Ayk%Zm`Vwr7@$dt)EKRlN6wn zEb2V&`3cI?iL|x)rYvsq)~!t4y{#H==xqCQChlv3o=~lzWBmu_TZ3HirqJ`yK}Ha1 z6GSS`1z5CNurn^#XN>U7rAfv8FUP+z5t;6+@<)*u3+n-MD$_nLb{S2%Vi4i>ZpZqv6K3gM!ibrf$G4Y3bukUQm)8DN35Ed?RVv(~0x8=Gc1XYgnz8XV7%V z8>{e;7-HKiGK9J-=f>m~@FmCim1fAe(#H&uS!I!c;BeT1R95H0Z#W5}oz;g=Ax(k} z+Y;{)_=&Q>%6`9)Do_u-2f@L;ms?TjKjq6|Zkq&osA^w_wB#NXl{kvCw8bxdGA`CP z<7yN7CBB0Hnz|)l5_g7z(G5|`p?1E!J*B`0GW9ySxeKm&S4phZ0$vP4`%{H1EW8}@ zZIZ#`kTSEQxT=B+@g_mUKx+EilC}>Fc_%x0tH4&3Z=hWvm3+t3bq*2}j?;A;P>t44 zcN5#rLqffmvz2Oq!=|^*Xt)-N`^w{FO($Oq{3afbkS+XV^StlFFUri@T)_F|)h~eD z_5)VV)64s-5IM>f)=+UL7nP@g-0C@T?N;SNW+ZEl#U>376pp57j|BEl`Z1$kzAi_1 z#1$5~AWM*aC)KVCoWXD((Y@MTW9}gxwFdW*EjPVMiq+brXq}~`=bsCvm~VwFj(BSZ zK-gY=ZWzaxWMQ0|bdVJe;Ve2R5^Bpfs?+pW1e8xY9FJc9eWV>F$E@JvN&?ntna4XI z%`+x{>*N2v8)jz!>ix+f%9}&CC|>hx%>Dl78M4pvJJdgdl)~3fM(FBD!8yGrreERt z9Ai5_Zh>>-3F3T$z&K|%Yq&UczqroL-%h}G?1uTE2szmT$p7GUzsGF%StsdO?R4JHMzz#QEJi5bX_9K)<1ZCH9!z0Yu2p{ zk}KM$QB$R_*q`pepQOCiZty$NnqC8kJ>;v)<0AuAw4OiHM3f_xbe!H+VnUGnm`_R5>VD#q%d4`3;nO znEuQ)zI)!aK%R4DF-Fr1fFn&7Gfa_6kWeZHyfA$K?wL@zltMv^O9;~Qe_3=p<*w57 zb02&CJSGg>fpC5IF*&8;^W85N>(0^FY<;+v+28`Yls^@s>1B)UnD`jy5g-ACduz?# zOc2D1JertpfzxeY-1*)nL=}NYS3;^5ITjsyQkIT7>+cXcwT5Nt^aY z-0_qtf+{HWxN~X|C0#!}b!Tr!fBb|R2iCp~$F1ByWBra6cEwQXsmy*@NE#_eH)syY zxoWV%_x|XCC*41YM2XYsMD(*qMf5uOB@`nq)}m@Y90$^RY0YLLUw1T}{$i&t?x0xs zJEI^nkgJNn(*OFWT78c1P)c-GU__bkO`Ni74Gu81JSo=yvs02HlCipbfETaVO8_wz ziaH{TG~;7Lt0>7iM@4Pq!OihOy_RXQp^~;YO_IaWC7Np?Gc|%CyR2bl_hOn&Lq(yJ z`P+i|Vtc|lGu9^Mc{53jmeL9F!@te~ve-HLP%$jw)!7S4qZANvS5W>g#QYcg(Vy)tLK+nu{*gIGK<#ADdnE1}%dry)u9XCX{%BjR#B;?iu*R`+wL*iA*^ z)3NQFtkHkOsq}^pEKk%+%V_MNh9XyUeJ<4VByFvUZkPJF84aJ*7q>W}=z$*g5sau? zz4+GuI(OieZ6_Tzb_nOQS2`|Xi#NV@+bgPlDo@X9Vmx!ztkAK4vvUyfwrIu&gQBeD zzB|^s%iQw86zS$9XB~y}5mqz3BgsniT86@4%MWlY+sEvGgEZOx1LghSkfxlPn3$6C ze<96(Mwb7b9*6P2^*9V1O#ia5a~ew`P11) zyG^uBfU5|E6zK0PDb?y<Fcn*`EiYOOWdi!mlgzO32U8A1=qwj}Vuvf*|BErOMFIe&il?vT4~EYV3kKSMuYPPm zyJM^G1rG9%@{0qA!F}*!t&GaPm)rf_xiQ{fzp9->ohJ{Ijz3 z4t^hhQzKw}Y_3m?fSp_!fJS3pzw>;3BnIWJ6j(#TR0X%h-*CJVO>%76{>8rWLR}AQ(iKFiDae5&D5fJ@*Bgo)D z{IvlI=&-?m^!lH>b@+SxcP)*7etKx>(fx57K;rq<;DWyfA49Y}`~e`?+~Rw0f5Coe z_5lL`wCZ4i^kEyoh3`^$biHT00Dt|ef@H$;OZv%frkB;~sgz&z8aYZ(vzSPiwe%~qtuk``$ z`NoO#&iNp{zLtGrd%=Q`?{3vI=t+zO0Al?hY^ex{^n<t-=!F(d;8_D&gw_F?X@S-+eQ?>vFeLQ2KcsHEY0IPtN?5P?d1AptB9-yZ-rJm+9D@we{&I!T+sEgb-}~(M@ru8vmiX23Dlc>F&AoDfK zkI-lL8V4cVA@qwDG7R`NR{a(i-L(RG0QXz{rk2loV{1Fc@GB#HMExc9)2+l$Ko<|Y z^Yv#+^dZD(I%*|%xuGeiE3;5hsVY-$k;B91bbDiq4zgZ}y|N*EGx!EIxr|B5{{VhylO{I#kK93(MD=tn_nM`CMDMuyh94AxFiNm>PX1-@(>iq z*=NF`$)w#wlw1OeXggdjgN~8_?0jVL9 zyw$t62;GT_DvveZRj*vLhPD{KK1c3{EDkGp9oQsx0V(;jeL)}$XoNwll8Ub_)52+4 zYa`Aw_cw8S+h8(>{5d^*e)rGjxILNHDF)h1bWjeSV@aBGA@DAAl*gVIRTm;>>I;Ey zrkpE43`I>D@(X3w7ry4z-D^*h$X+F^iHG(geNtcDm!u=mv0E}h>KMO?4}zjd&aUsp z<(nEpTaP>Bz-N-jl98Ocu*H3vICd5)E+M0V9_|4FC*A&Vnq-`xj12KqVde8$6KH0p z6>QSqiM=XZLpCC9p6w}#+?!g&^kN?MlGrM7I^aFbhW%zyr99T*puya*_-O?Gt9n44+A zi8Wsa1;ko`GQrj0M&^t;^X;8X^ec8R^d-dW5Shzj-C;7q^!2N~AEDW#dg~Vz`EaSnD zPsa>u)QM}+(t9ZV0v!xM&L_NpmralE6?jk4D5x|t+1(k#gX>QjID~bb?NQ@fn5pt& zWOzO}*)>Q}mJ_&d1TMZPZ-k>}JO765?UOB>RaeXNw++*|^4MXW0z|3SXm4I-sH(T+ zy!18`GQYoX%Z1%5&mWk)k7m}l3+RJqNcxja2X~_)Am~EdG}jT+neHm^xSKv@Dy3*{ zM~mtPG)k+-4(Xb6VNGHkFYt<_sG3S)=1!v#pvW9cZ9<{3-zVf9_J13bq*}~g8haCJ zIV0$nrb6TKgSw#2#cd_u!H3#C+^a*lGlz1?zEFf7XVW)zKoAnI{2tRasI3dEynVPB zpF>CbK1Fwr8;}{?mNC%Z2M;(!D_5VP1;wSRbJMH zV@Ugzj!eoa=i{MCi0BS5QO*n+^ zGrW5TBvl!D#(De{U5-sJJTi7OP|jvN^%auJh4o{1qiI#z0utL~au~Cj5XkUNS5syt zxLVid6e>U4TzDkGac%xW5IQj~?LL-KYVTCvWLQ4;mD*boYZwqQX9r!u9O*Sv3xpK1 zhZ0p|pltYB%6Z5|9<^B+WbS-O`*S#VZK&u$FH7T2GMC}TX}hvto(hAm7{`r>Ka`7V zOHx#2-6yAdI(a!C8T)?{1Zjvz4G#?sr~xTE-aGX4Gp7G@oJnt-`TDNOE%j)tplK!r z&d$0k4-|;&wZ2x+a-&UU^^U&N+;+TAZ+_y|UU~w17jzp6b43DYCkav3$ISeNDb&pw zr?&Jc579Z`pyEL9wcjgZ#j+NfEzQJ)kMmW>Uy#G^u1mW39LDX;B;Z^siMLW}aE2i1 z*6(g#hy!A%YJ29wCrzNdNZ%u+%yar8vudUN>Dj*9_#o*;OMN2D_*pKni6Ks=UyL=d za{2%(J6WQcSTov412iaX32(tyh6iD77BY_E@UmWj{JaY$pI82irf#^Xd4VJEY&lImnS z4JtOX&kNUTKkVAo2}sMUCiBj^kug;4^k6kE_EdFudYk5cuUiYx%RGU#?`nX|>ok?O zmRG~K$Y=-J<5hiofLMuOnUli5vlujuk<>13e=wZ*rB+4Tmbt97(rJDk-n2yoEnE=0wS4C7w=kz`R_^Ul;+r>jO(4)2^Ip~U4c5_(yp)0na6Ss0T%m&WP6h~Q^!yC?uZPl!1 z>88xI@R;i9<@=F`LRo~?&|@4l8R?e!)Ww+6T0!e|(9|@i_zU8v=5T0VjNzyMfLp#c z-cSGRD_^Bye;9z8%ep^kou59o+^}{iVn;w&jPr-RH`7H9HahT{*j{ej#XHSPKh?@%jv|Sg7Ec=tl5e4L(OV+rK+*? z-|nf~z;~h0UeVukH8X;XI$C|n4^7TlkNa_EOm7Xa$O(SIgplkpaVTvj?^K5C*GePP zw8nw)FI$67$-q-$hEk7+BSzn4q))?kYPv{u zOf+E5QKjfirM(1`b>L{+QaQb=8)QPQ#cio>*{6K2Bzh1r7V)n}5F_2>1$AR!SiVZq zI3^Ph8g{ohcPTp;TsUEgMRynuJdF)WiY{i|Tn~|mX0rhKNy<|D>)EpbRj%=Azw;wr zf>WJG|IVrpSa}n|<=ZC})kBptL7F7_8AhIlO{Jdh z^}mMM2aOvKqCQAy_!{Tcgl>Q)mWxhq4=?&?9<612L2OzN=_xvCrgz>ZD90hO_<)<% z7LWX=%0i8_$uaTBo6476nz}nY2B!*vMoDtnWaGeazJ;bw>&8Ub)PwE^me0WTGBCiU zOpQwJK*_;Odb;cQHu7#7d-EQGtDN3$nl8rJ^!aC`b{T)KlT=g`ji%~QA!#chXUG*bbNj1-w)W4BQUOR)^0OFxBSVimR5pm^8VYc z13K!aAa~uO0LvQg7UZ^{FkfyxEdmgK`dZ5-rkRzD@~xd!ONT;e{1c&P&8!S26JgG&lpHg#Qp*v7-9A?}JqVV`BE{kO1OP2d zQkt%nJBB~4Al3~*SO#G^1ESm}duN2iCQn8KEipU%Y69l0Z#0vbfI2^bT;b$-@C@_~ z+c?~oR0Ba57sNASk7pZ9$5HL$`xs=A7j&^a>f=Y}|2OSE!4Ja1&vje2CSAtzo~=Y< z)W1R9!jIL_(5kTDNpzK?&ai3D$C<-EREe0Z74wZs?{x>ondm47!0^q%eWBz zYwHBn&M{mkP;!U!)q_7qWjD<{@>OKTNDSduPUyWqzx?Gh5>K@ZJw+>3GdW}2(^iycz-{W;=nrn;mB7KwoylX zIpnAOrmZ&cJ>?Ib?>o6tsFBSFTG3xAYvw;_8mNEs75k#8@f#G5IgVLsf3Cg0%oCSr}@&nUVvH2>kWrf_9%LVQMu)pKR0}GFPGY@i%XMo!aJoc#e_#F@t{k zDP;qdDJ>hzIQr;`zgxnK!KhE>f@#NT4UC-qTvuBZ#*Xjy_4|4#J&KTcb0OmTNCT^yT`*$ z&lhydvyheVymBq_E$?znKlU;7~_y_mY9hy#-SXeFGw)n1G_v#GS^`ZS!t z0$GLrkXUWAxqQGZ2i$BZ-NhxB(%*-0i_rv|Fy&`BN#3?Jhit36oLmFsaBKC>l$~u9 zwZhP30wA7Cn)u((Wrj-d<*-t;yJ8{$=}#43MS*bxZx(=U*<@a4mRKQpxME-S4rae@_*NIcO8T zz4!=-n1w=OhUZ$gZWcdEyLvlxG<>1kZzgV>U@w zh1tLgBR#P6rJ&HY6(M-)R4ES8;a|B_Fn4y^YqNvo|R#}-- zS`a(X7GqR<_>r$adj5%RpS34lkse+cPJ0j*q<-&;``t@&H1Km7 zT_K1q?_lS$5BRv%@p>-w4PK5pl-Q}J`K;EEQGk3^Dy>~WsXt=31GX4fzk_Ipt|*m} z`@s_{#?EBz60VIayL(ZD)fj_B+mW2o6W+~UTMOn-x7Zzsn!|$~aM`-C=mj%kA|ZoE zD_`-PSmizZA-b%=ZU<+MLn_a?))Z81oZ`ieNbtwg9oyR(Cn%_H+WXy+V8?I>Z{6~K z=IAyxd0h8n&xL_i75(reeC^{N?Gyb5snyR3EuDKr%?E3oJv{Z^GGvU8xG0kL1vyjL zWQnZRxCUNhjqIsxL=N>FwPRb_=_TBpE&YJ-yGLg_I`*MBltkWQ<&!Dm@TKC5*D9}r zuq584# zU1{$hl$Kohu#GLZw7yhVkUx+feSv)$mism2+5z0^Ml+@;?j>&$_pu8-fIoTF>Ejq_ zWE5a48yC7LNPWunr*^DxRMRGx!h9p-ghAB?BogWg6q3)}09l5&8Wl~?gNxh6i?c!U zV_5vXI;B5bH`yTkEmQkNnzc9$JPgdpiZPUd+(yS11D!x-#za`+M69qO!Qdci3l2rk z^Rjtuk;a_HXGVGVVsbxJM3nD>#lw~668n*%*@zK6r6DxaB?6+~9LWzOt08{ChTIy# zIjC3Sy+h2LjlF;)?Al8jQPd`MRM!UH!vREBB796;Wl{5eP%#Itcy(?1G~9W1ya?F2 zuk)j#)W%|ADr_*AgD970o<367Nq2;F*mhLq}`Hsmqd^y?BdF&u8=1JeRqC ziPM%o|54BR-#APT73KQZ4|3Gs=+OJ`O>4j8y^qWD{ASIYd4%={^5~##>2Lf}4Le{h zGHc)iKGn zm`H+2|KPfm8>)DLPta6S(eUfzzR6kdgNCWyspL4moBQB-98*(89L+5IZ8)*U!&$!% ziJh^<3HyK2U*G&bg5jz@OO_4wnbv+K%Qk$L@@qhHFzAIg~yYB|n7U#SotI$kU0#`&H&6Z7X;E}85-9udU}S1Viu+Vad;-Ft9!AP>&i*i%AjL?4(PVb`YcXScnn-%%n)q zN9PC|Xd%&erc?ijEkts?)mp-b9ba#8$3X7oA=v8#51nUe?`MD*q?&0UYUjNGle|>> z3P;6uT)j-q^$022uo0pgla0E%6kVuCL+A`{A3kj~{?B<^aKK^h{(wF=RDz>=o6B>?7qv9kR!{E*MY`GM`mdN4zwG@mWJI|Ssd4YpT8Kh{PL)nukvezu)SkNA!+3-eIsUl@Z|F#lg^*LE<^M-V-ggrj$)4jON+zBrGijMcx zf25!pac}bl_pac(HB-QPhL8q`KBeT8fB%k$WA)p$-#+__;srY6xZ+5x3EJF)jmm_4 z&{$s}Y{lacc^7`;2=6&1K!X~DR+!HHi1qs6qiN%d09l%>WqGExBqpsFOp_mtnQA-) zLJ?+hV?C_AEAM-^mmQjTY)K{T2JwuYaJ>sZHeZ-my;G%$L(!~WGH{!Vze+-hszVGa z35w=O^2&o4=IEHW5v#YHtGDU$@#C6od0(i;lHv6{~1R3ceeBdc7~Qv+}!^i zKVTqWU}O4^FaiSu1M~mf{m(Q410&04CT*2y^q-y@K-h8C;wj5A=*3ZEf@znq2g2Ynk^-i-6kv zu_pkedBAf!nC3ul*|hvKb69WW3}7IR{*fGG`*igUG3A9(`8)`BRCPd@!2NKwaI*Ty zc|3d1w*C!8F#J1c5I>XZCv?D^eZ7*v`lk9na&3Mdzi=QxzYeU-tS$8|EFhf$eWn0P z@u&y{bhLweXBXn&^dOmEtjtZ0bso=b&a5CBm{{FdUxc<02KLmAjaXKX8wl#td~4;W5oD2v=wRcbT~qV|eCYnl5Z3d^XJ>n{EC)Kb)C?ePkuQ zO7sp5Cd!~eS6Tjv1-}jMsDxiMOu(E#Yw2le?Clx={9FKY%WGNpZuY2bT6_4Uk9POe zesu6!*joPQR#5zO@sxMZ;QfRBbC?kJO>RJ*9$!lT+HC^TG4+8MT|qDar}_1RdkcFb z14{h%S7$bZv;jAyYlB8%^gq7eXC+=;TBNP}RBin-e=TSWqpQ+Vn%J*%gMSN=&{`Zo z-RBw|fzLG7(gCKVt8f5jR)bdk#1!a3zN0`FcY6}`m9PO`^^El@pX>%^elK{Jd(nch z?sn^staZuJAo4!E`drf1(xdfy(|&XR)#pt9?mGX*KKNnY{T>tF7@ItcNj+{Ks%hjwj*Wl#H7CY~)^ZVmur_|kAqv195UAxv z0FBMBebp+wOVxaM^;hxh=LN<9pS=bF<(Zipe&BCks$y#O@M6K$KE8>8dh2BT_9((w zTN^!ib*is%0EE80gxW&X()fy80l=TEvM>X7{G{sx5CgA`+%JRPW#pjuEsfyqyYaQB z0YpRfiufV0k^9fz*$si}Gk;(^0As}b2Cc2>&R?E<+k9v86pr%|F!>|Cv3WPMv4DOH zO+)E3e`5FOnwb82x%{xYKhyt$8-vsTEPgNdU*O**XFc!6zb8Yz{o9P3<|BaipMSZP zX8(6MjE%49Zxnv;C(mlDxUsvy9<6rnU$?<*sJC-@V7(J`=r+>R^?{;Gk6aC-t zU$w4ST?yrzCD*UhWHBYwKF1aqk7(RK7zMqdnl1!Q^eHIm_dA--mR?IOL!zM)yV zM+1GL7J(VHiCj!Nb~CyN|@b4pK;&S9Z>Lro6WFQ_7 z*Sd|~#RQvqgzti%r~*54dat;by=n5X2setx8n3h3;!zzLZnQi2+E-rw(!zpI-%#AB zI*RvtQDqm!DaXv+(`1m%GEAiPlZLnyk$Xx7`QAh_`uH$~@uDRYqLyK| z#3@aa2#MZKZlwpnltpsCES{cEOH7T$eH~uKq4BOrYexJ|Uav<|Tu;M_Cv(4)Yws&@ zfX}4P83hAdd0AVhCWe+yQ*Nb0Ub#EQ=RtRwD4x{u;`TfpCcDOkDM}MPaC&ylyuHP0t$|~%;x2jVpkR^B z7IW2MTMFAJ0ft&*)0NFt3}56IcWYdPHgqq5Y-=3o1a_SNuyBxlgQ7m^^#O<32qN`Q zyn1lR3bE@7D*7?7%yzw5|Dj_%sf(yk^4XxnE&x&Gn6bKGnx!H%7-3b}hU!_3C$;o7=#fh?8h61;-n#{xL_$J8ny;#Z!)e-ePfI$NvJ-z<(yXMH} zR_%Q~)lMX}^K~J^iVZ-`178+Wut+uAC9q0l_DMHWGJbA{@gpEFl@DFYTl7HtRjWqi z76OZy#ai)sJX~nrL*sk0Dxqn8v>#j=IF(|au1Fj3sE>ixp!ru zJ91d_ip-mJ6-UZ!(VPV4@^2mBK;p+ycvau;LAoPx9{;kebuq059D@z*+V!52&P(r(kFhRq$@D+Pyn%zv6_LsKt@vX@HzDG_0i(v*-*{uOW*o}dOH_vMWa;-MSj6ame;NMiT$@-k8?CUeZ+2fhcr{`q`EIXBA zjB5W-A9GEgrU&Qb(-EqtyZXsZ1t4VxK-;uL%jUPK6qA;J$Efkl^XL5tsnx`=g|dvd z2*MAY%|}q={+sC~acp>ebi_Zud3iQ<8zpizdbY2p!%o@iNlH=e<_C+6POLr{pFQDz z?1a(_6o`uB5*tzL;IBBgBMxxqLcNQNFB7G94+xd9vk(cBGV!B1^C?mX;Yu&BMz1~E z7P#jyo>x9`I$L@>!V`Q`GesKE&ETymCSfsiQ-`lQq&ROA=NOEmT;EaFxsvw)&j$SC zv2z?OTv3371&CE)$?Bmh#(LnG7-PLUjAkxJpFY|U`sqh3`BILdT`z*ow%T~`=mQ{o@R&|3(r~= z^Uig*p8KvKHpE`bPM-;AUxKIgM1yb>a6FOa-*DLmLhyhbWG&@3h+S9C#RMgH`>7igX+x#e&|WW|M&q;VXJJ(-g!sX52XR1)CY_BeWsg z8*Xyb+#BmQDvy`UlZ_v)VXZ^OyAY4%YXgQ;D#F^uU0ib6P3i0D^g%=%y0Bt%Qfbrz z-DMQ7qy9#$Fs>DfFq%ZB)PfqXQpZDstMY1H zTQf$tBIRV#Q|+T?J7JsRa&<9&Xy%Im7Y4GQ!bZKfXk1pO@G@m#&0v(W`*8PW6J02! zrQLp<0uZ=ue?ni1IQ=C}_w~pL@*|#}N%Mx_iFe^A6COo|1agi^g0p6tkHv&O%5CH3 zM_^VN?@qF_!lr=WZBYGIYXhY;%W4veiY{-tD-?v-?3ct&_`=+yRB_Nxy9uHHq#>d* zQJ-maDY>(Cug6zIOJQ*%)@e@^}NfMFUPT6n;_SsF3@nUHoJf#B+bdrTArin zDrCo7`UeSQA0_`lie&htI(iq_##DhZvdh*PRJ}RH2+2jstQvSFk34c;`2te`>`tdE zK~>DS4Jv2AM6<7I+F0i7?>A)$BKzuE7u!GQBI2#WVIi(oZe?IIq>yRcQkI>zuANF8 ztJo;L6hjM%!3t@qQb0Q% z#$Mw&*^z&CgIGLjH5;c^cvIJeWHHDKx&gA04uCXA6Lm*lYQ~ED*LUJy+X~h$d&wuH zC)hf~U7%AH%=RYClSac&QN4kQ1|9L#Cgzo3yVv@{Wx2uNL&_+}dAAIT_^#JK$*`12 zKWy0tdVrU+87LVpFsq1gdLRqx^F<+iRD&lbJ{36vuvyAEMS0it`(Se#Ye{x5$J?ECP7$93@1s?%beiC`1J)bJ}9GC zfmUNsI^St=P^jx-Nn)4MzA`ew_b@ zObyLu!rA%pHqn#%;(f!>*OT=S7N5;5cV&$`FeJ6F-BI*5j*}%6=VuVv#ld{UL&t3?hq#}A&_f|x z4~3`zXdz#^@}Og|b=<#!X82(+gYt+8v(PN{$LJl3NpCmrA=K0x(GBb1d0`M^TXuBs z7nIEs8DBX*j$=`%=EPLJu9#a9f>=zbD5u?0ycD+5j}M&HN)f&q6jk+3X*8b)vw@4f zKGg+jG4A-hJyvK~|H6=89Ga0zE@@qO{LWm1#?$xg|)?+i%AfI0O zr^1hV$OR%4XX=s%IjZ`vbVSNq2L*g%(n5YUcVObWS+06<6bHUxUwz5+ z$_0~eNmmF7aypf<IgrVd;yb)IxR8O7 z3d~eW+q;wo-12}ev7}!ECar%0jG@XEQ}H7!@Y zt3v1VlbQ>mF*RKb8x_sZEt-)o24?)Wl_#viDi$8tH0)B@dMnR(JeftPD!ajn*uEv9 z$g2nvqhXIB(Q#sbo}#JKj;x-c{c?2*gL{*NhO^*FFGpv3lG4`N@}-M)IK-&zVfcWc zEGQWd2!MLHCnn*6o%4_Ev6mVu9^*k$^v@U}Iv=1X9Hi zXk8|@jGjBn|2g$xY3Rj_iH}d+?AXOp0_la#rq0jC7VZfXd+h$gPvKhK(R>e~M$^as zD{zCr@j;&@(;w}{m38bIOc$jrU=CFuL^l4^4ZB$QNz!a4dD>%hT0#6RkVH8V_W1?f z%Hj&%OK&Onuk;<32PZxy0}%_1kEl7hf&a2C^%i@|%<(cfF0dJzL>e%erazWpWP9Hrf@q9-eK>0bctS=y4w~Iv{mJ-C9SFdisZW4)a#|qa^fbzS_dAu z4(+wkUA&8SZMcg8s*Cf@x3~+J>#=vXITK?T$hb~x3XCq5&!ho}f1*Ic6V`59)i!)g zk}qwuEIqBRsZ+9U=0iS@ha|#AOCRRv@!>ba|JH{)<$G~RS^H?Lu!3whlbnrJ%&(^8 zjwyMQF8~1(?F44z?dAhwh}qS(g2&ex0B6N`EyOjR1R$Pt5;O}yphRVGD`A24VKP}z zNls?1Upaq6TugqIbJ1f?+C`)?%EhuTEhM8`IpN|T2q9kY*}{B$fkB&v4wrqC)jL<+ z*)6*1yKOQk?SXjpLF%j7C#oiXrgY6ZLhDo-DZUZQy+Yh^J+5ciVuxYg_S3?ol}xCT z>-&@r8S?l}Buga`dJpoJ%zdwy0ktd)48oq6R^`6>oVERNS#ru|kwjFZu)}O8yBN=5 zYSu|RTMoY5XncK;rY?$8;V4(jS8^8w$R5f`bVAAfu}xh%O#p7Sa^p~3asOSz(G;3y zl2BB1zn(){Rz+`-%XaFQP%gyAPH%opZdXB(Cy1eQzzde!4k2tls zNaB(kw`qL>$_-Tp62J-GN<$}n7*i&z1HH4c=dnYnqzIsuq+}Fe$4_{AcP>vsZ>Bd7 zo4Q`X(2P77a~!mInd?7Yx7Niq1=W+zRF8ld1%>)PWOm`535skx$+#`^15ZNU=E6xw zU{5|;&M!MG(<-1vqK4BdW2orFAf<$AnHw+2p4WF%sL-O#`*4{OC|Gmz;77WWAWlvQ z#(5n#;O#idoUar|>jYdslU_iewBFPTY}R}-owIi?oywwqMPyp$iUNRF;{ok&{eLJs z#~@k4bsfX(n@_@|G96HIlW&udf>i60AmJjg(Z#1x50J40mdsoPqb=s2hVq zIQr%gO*3Y_KNe8!>Fq{_%vMNLY;-yxJPYX1vdS2I!Y;3uv9wKtO<4Vh{w8qSD0e4Y zy%9hu6Xj1>?hHz~9 zWv3i)3^98-qm;0nT!L^tNGCX$mI4iJ=NUJNHJM<=5yU2Yw21?$C<+U?-_ibw)^7L# ztFc2N)NRJtfO<6*9=3U{=u(TZL;<@w0fxWsfD5%ush*}kOusd<~Qz-YJYuneY%wRPIzLXSJXUgdP*fY%? z5?>~tC1l-3zDP(eh}JI%%R!uW7x+UXutY%UeSgn6Sswa6KF}b$d_~ z1RH5g^B|j!uqcK2n$RqQpY0(3WHs)QI)?siI)wyPH4i-)Et@YZ9t&JOjG@|aBoXp} z8b~jIfy{;XahbbM3g4t}f1F->Xl($Nd7>?+7SQex&$GN6=(b>Ac=6*J}0Q zGA+gklKb1g@gJ5eG**X|9P@UVM4))Y3%ZyZ;58#koncrJRq1!DHYjJZq6@MJ1y08t za#!ne{m4WRwPgCW6ei2GfmXL6M#;D)E{g?;r7!H(QF{y3r^Yh zXh0IPpTMK+lw7jEd4*Hl3N{)Q;dB!Er?%&hO@J{wAV<=3AJ8f?50!Q#FSTmaMzj{) z3Wb!&QrrDVSu5$q%c+mWn**V<7fDmt&|L6hP@Gyq0HM=tv?(#Ok_W6~6pT4)WSub$ z65n?zt|oy@`2ZRenvE|3dwm}P+Me#sN09N^?yR79g6jwXx%PbkQJ%u+lL_Nx%M;5< zr3>=Tg8+QFcwS^HLbUoCcJ(f%!a-ehEJ}0B8O*IsxD-bXWt{&D9rIk|>SQ|4iI>Sj zt?diCYplGs@sm9enViO;j&l>K{Srg;%!-4!&9MTc8A?4=r&QXZWOh<@mTISj0+?Y| ze1KD{)d#^VH|mcRVPnpzk%+Q+SH~q=-FtdgKgQWMcz$gg_tvmxRM`}px3#>pH|fgQ zOf~qtCY6X-!--7Q{X(#!G11jF%I@IYuh_}Fy%pzx9~8Ln6KqRO370f69+EBCpSIlkwWxEx-`L`ay4WLUj)rhI%s4f1 zUQfg~b$|M7%{+p*hebWDnt%YaWy<;TH`0=`@{PL7<1w0(QM}{^c`SAFmETSo?u zF~7{3oIqDrX>*a($`3;ufF4`Xt!*j-Fg0-O{2t^Vh?1=m3q}wF$*l$(l|(fJ|2VH5 z{d$=YUEct`&vAl_WW?rwax`%{#5u8jPhuBx++ostN5`J@{Vp~kTE5Q#`0&AJ;Rn!(m20WiL_0tcDGgl7|2HdYiy6IILu)k6Mg7^UUlUt{82tzefy+x&Z zg2Z8N^?-X3Kz*PA>D;TMg$reVK5z&Wx z1TFnLGc@~9#5HxF=H(6PnraTrlQmb5_lLyNLC|i0KkqI&lSK+KPbJ-Qz8hy)bInP| zGyZH3%MJ>4H%9nDR$M!r(GYm9ruRZ2tg0@2n{<=My6-TVn3|IK%Oijso{rUY zWYImjfMfp82~kKbKE|O(mY7pWCINvGiQ~i$%T9KWHuyk!_Y$U#)j>+quCZy={H<*L z`eO>6;>Ywod2CWI{|woqlXjWpWJuo~q{Ld?& z&@Nj&CE3eGKf0c-MkisaI6d1ku{gK96=P z29@?)`S!f+kC^QUC|8Oo$b*z(lD1wZ9Zy#30uh7yxbI`0o6O0gE{c-P*b3V_k>OBd za3(r$7zv_;ji3!0lig5wRf$qVdF?*^OvU;4m%y@$g#ok6w zyw9oz!9m}XfHCdr9hNX(~HskQ;mYB_|cWcnm z!y!O@gZ-RBsAoX;iXEfJo6lUSe#-MCc2zl+zwF^@u@-WiyYvLW;8ti$5Y+}1gTetg@vgUKbjH6c?ktPZT&Da zTr>6Z>4FHL@W&>ECJ$7?hs&q^LceeF&z}y_R-q%iu2QYCXU}`0ymDmKomZr`H+TQu z-n`}DRyVw1?)vA@Om|OP@Y}?Y)?i}IOK8=3dDLHG;4{uFv}VQ7ul;{PnBCZvN*}iU zNbQ*p8rY#JRs;ltCs%f`F&D)67;zTO!Dvi{g?cIYhJmrRq~EupCo!vELnmJse03EM zFraPT4fSt^DsDrc6ajO!I)ot<UlK4 z=HxUFQ`P)`m=2E4YjEB~huY-1k@NG*f9y3zobUe_cfOP?n>-SI!js5cLC`oKFLT8l zrx5q?lG9JnTS3Pv617{o2}^JZ>zJ~Lb8cxFJZ%ks(o9Tdpv!D>K)~5{;DFkp z^1>&Q-x3qyw75X^q8*TR=+Dl87|#g*F9xNPumSbiUH48BDn0sH@$Ob;VE2(Yh4NO; zR?FFvX0X{U?Z;Cpcbe%y1n<~!QIpKSAaXZI!@NXn_mD`aX0meBFA*q`;dI(^6K*MC z_$RM++WDd$vzKN=5tr!|S>ddHH`5w^vmSflfl02c3jlFc=rMTdK@91#Nv=y> zjrI0oj_x;4V1HY4XDUatw@&R@@y^ zZ?ZehpV?)|rzspwQgt5{LgdKrc{n&UWM6b3G74=OYWsL}zU+PIcc4+x;?BCR!1i(X zixxNp%2VEjS8q^BKt|$h^mlwvXVg?6cnBC_{Z?!JoQT~(r-L*`yXYaWsULUp_pZ|Y z^^p_e-GRXy4%Zdbz{O#^=wdwD9Fd82*=!f8NgK$@Zh{mV`%P7G90=d#=fKy!@HTwV z2P6ACV&Y!b14zUEZOb1;Y*S>q+~?}4kX`kNp4-^SG4C^wm(5RA@Rz!bH}nGn)x(nj z2dYj9;$>(?E-T!vmjRkjD1Al(vxP&RrcFLvjx(iUKnL=V;h_S{u}SQ}BVM|+uWpxD zlSp|6k;XQutOf(_Gx8oHe~At4KoTP4~}FHuN?U7`tzR6DZE-E7JGQ%Hs)^(rNXQvL}<^Ebq+e! zvCDw?$#4typ2C9IA*^~eNV2_k##2nOi|gO+jfeI_cVJ6z+XN6slC%?A2%Oy3eELlZ zd&w9{Zj78|tn!PKw1sI1Z7(hFt$kJeE(qUwx~c3lM349bY<{LY*=BlbmETIv^H8q7 z0@AsfSYKb`fQ`SnR!ciNPq7z2Y1rUaQr0_q@B`;o%r74_Oo9zudLiMg87Q*3;G?ob zT$*s|f8>)t&b2IOYXXu_OMyC-*DM3wtQw0a9Op>AqipU~?RU2|2!n(eV9DeP0DZhe zk4C2tfR04`Sp#cbRvlGOsjWLq%jlflT$=lF0=p7g$O1hwt(C)j5NBg~54TXiMC9*O zZ)JXS-@<-v!`ZU(DXweVVBC~GVdqW(#**2HhV$4YoV;h<2GBE~-Q!z)nZ`1$VAy;P zP8Y<$CgHPz&HlT;DPjuTN?^k`TY~01voJYG* z&HyFosuhnylNhmqB8x~nPv+W)ILdQE)uM>MYh6(?z z(xWjd6p(CwOs!Wd@s}T$LEAY&=nnrjzs4>fob#yE$|+!PU5gMxRA@MgF*rpQf^5n+ z;8?c%CRepohl+9RlK?i$#hdfZ^(6>`r3Q{Q`G|${!#A$$0zDY0Z4e*iWtt^%%H#u6 zFE<5Rk>+?oGUcR9oHp})HHXv`0m$#h)kHH!I_dU#68_BY4l`#xVuEHoS02;P>9Xv~ z`bnv+k2Ug9zZ(-6#CX!yJruTa?ZEq9p4wqn4VyaU^+5aS#51=V{-GCeJpdzmY$~|! zTRDq5Dv)UE)P|J@J6*F2lrSZ{nHuIxnn2;AG6*v00&VT_RW}D~QrpyNOH$pQ62r^; zC9DbTZ=!}{T@&Q|VS{xG7D|_GGD(`1jd+DWL?oOp6KrryT=sA1I~Y=C*V`cFW?ny- zbo`)3`aGZu7Y6JGLV0}?%qsNqR|38}=L`W{v=Lx32un+7Y{7a4s}X+9(o028+&Ues zr4kr)I?(3fg6F`itB15=P{_`V6}2)*Cj^x!@ziw?o({U=3tY(0=I+TuGI-G=#qDwh z31=g41nELTZ&AQ$4$D_dAmpR7jGOjuK5xeLq}u*>MP0K4m6J< zM$oWVS?D^PU>aL&)Urh9DssoELGy|QxCp`Z@AyRf@;ErSozd<5nimCKR28P32d7hmfQJM-g6x&B%K`R zQMn}WZ7VUUS!u-LpUDLyzlEZj$%or72%{um=gqHzWo2@)SOL~~} z?i-}yJ}9Q2ZDyBpsj_)B=H-cD8k1u{qv>@40SE(7tebtK)kQ%B1$t1`A))|LB^1Ze zC`p;iK8)*$l7K$AMf$iZ_a5+JLruFdl=vi$g*aK*Ts@Atz7eMH=Sh4YZ^lA&u^jW% zDQ5mvLGZ$z!lrDaCM+ms8fG_Ei`Jb66S`6!dbF^&X=aA<%VUIVzNh6 zg=`gq&5&~7DgoE3(R(l74Y}IEerR_~{s}rx@AH1}e9KIV5dFB%jPKrgk>1eU0@~0n zZwZ=nZGh9FwtVKi`Cqo-_qo1;c;^f17~o+d$m|vbFqZI_GbKYOlO?Qq@&f;E-oS-RACd}3 zzGDB^wkdq|J!4w4vwH|?!yC;|Wjf=@gE{2F3Av%_@Xp{koLVliVFsP5(*ImB0}&rJx4;1Kj*GJ%`u3==NQ zS^Ki?ra0_1UTH>YG8pELVk>E;YH3 z>eMm+>fFpfu0PcEZ(gtPwSL{e>U=yQnfj5JU#wuJq{~XTv1k`2hhAk^$xl_KDQV@;%PSy30d-&ab@J?`j(;?#BPb%*M# z)LO-VcvYps7AG`+lbQbIKhxC^YW_{VxnG_Kc0EHWh1iGrGtNc4YjbiqSEW8^ox~G* zd*&P^9j^Ds>h#r!jcEzSPS=Sri!qEWNJcTl>H7+^yulDKh)>VoYIr@uTkLYh1nu$Y z2LgVo?ASPC0PeC~%}@M55>+ywd6Fz^^#WI{DgBL2Yh&LsgRtxgGS86SY#5ZV#XyD6~Zr-9rOf?o=@b@z%h$ zBS7{#swymy8&Z?gmwOSyONH+eY$c$!arJl>GTgKG8QU>WvTRd{8hfj^RzEohGyA>K zVlT^PpA;DX^=FoGq|HI91q(M72eL94m#h&QZE zf*pof>;d6AO8j`=yY8CtYsxiBxP$(}2kv-FRPUhUOUciFUAaR7g!ZiZn+Qyy+!YK8 zJ@ZD%h31;wMlAA=j7;&k0G)Utj32=r!N> za?R5i08hn^)6E<|DjgvwXscMpWjGURxN~30mG}EN7rJA)wK&ks^7(8E?Y=P{@cB_Q zxd2K9iG69EsN+D!g_X{JO}(cbigT}xE*do$s?S<|1*WipkCbR%9W`AC83ydi5eKM! zDY#Mc(qq$^;D9z<%MDEg&2pV0)jrhl@SXd~O+Hcyto6f!`sF(YinQB|XvVkkjvSys z(?@{Co8_ADAMl__E7p|qSMGpZm(?9NxYvOX%KjfM6gKnu>)%?EUEt)r6HS$8Cg<8@ z)TEhlpY>-@zg+`n;M*V=P5T`!JK&^(b@V7koU9bWpDNR!-3u@nTFHmff4so79H$*FGnUh_Nvao2D zq3jUTxIe6|PC1zZ*W@!W!fG70>!W^p!~XofRuN7d`vx?>ze4!m(-dqB|CS^8zojXp zWkfWkME~Jzf4;iDd z$v@X<82+&+;cQ@SVI*K{W^IB`4@sxwY-00M$o;eM-=rzz=?v%$>5S-%>}+fd{#iw5 zYVp%VXXa?|(@1CjZ;f>JboM5W7IwyT4lZ^-VTXTw06IrHr=OlW7dlru&wrOb{zt6h zzvL_!|Ly+#OZv#l^shoXMtn9lrk}FBf3E#|%z~Yrf%!jD7XL3Xi&hY2%}L%WqvQR+AIH zuHEme*T7JPUqrYdTKejmX8B8*RGgb!d|2oM0w#D(|w|0yz4R^*pX%)`SUnWnpKA(+rX%!hse zUI%n`2h5}=2ag>u0CswG0OMjOjQ9BRh01tV|u-{@`TC+7zXw+C*+ zXIlG3;4en6MGwAvUju(J7YiO-L5!D|mWD<*12P5WBZj#Zl#>I9pihrHm_HBtuU{wSmiL4m2pa(S3s-3b z@V~+cJ_B<3>4D9Im|t`_;q(9K0{{?meaz!+Ea6;4`rr5U#_RFieL@Cto1&EEAWjT| z0E_fE_$`(~yMnC}PH%=?Puu7Grl%|0-cIB}w>0~%fZ>8u<252*nFK2O{V@y*vHKOo z;SUdh;0vLkfB*~ip)(lauQ@}TvKCHe%va}4POvO=^D0OEfsFoLGd$3BAu z%-`ze|LfyR>(&lJjUPZCtXTxWnjco5{EBZjfqvwR4uiwbt(L7P5Kn>+5a7FJ*l$aN z5W^HKNYML>;hV>h7s&+2he@fLkLFvfybSyv^yL;@62P5U_!aQiuU`cK3=9bTJ>B~! zK)rrvFLZh^WjxUMw`y%8PH%sWr}?n;zZ>we{r!gLLI^UTe${>pJ&=76el(Ae1$>*e zf4jbZ8@<+$f2$RI+ll z=6}(HOZ#21$PbXPo)6%{&zLF3pPr`oLWd2l2I3WT@z4vdHQcR!k7oN}wT-V&E{+EZ z_T6p}ulw=wT_{AGQN?tJ8bDP3ss$o=HPe0nhu_A)wL4YjNBs!k><0F>LueM0EDYfL zYow|X$m5%o$v+MaQV3rMU<4Nk;ECRCLoeuOPJKi15%`rT4Co#Coe=yA=sglnPsfD? z4s0CvB1Ui%w^zgPU4?-7R`|+B-4h3G4dna{=WiVb2MqYRw(m#JKzsxfN)(TeJ{s2T zP*e_ueg^nWmPzjq7uu0;9p3=*sfGxUN0q2X&vlR!oK2XB<7Wk&0BcY0IPyGYfq7_{jjvWdf# zsT1J)E^-9mbLps%tLH@Qr7|5 z10v@kFqF*V>yjV1Ugh($nHlQ}Kxgm~L=ri)jNH)A(c^Xs_`t?;saeMrznwOiBBXIN zw!RRQcGKycl*w1Lh&ECNCPz-FB{8_MTlhzEGl<>OV27wE97vZ_vjjx^86gRDfw(MR znOihA@YCA!j~6Qps#d)5=`_R3;yyDVoM&v~krHcMI$ss#d%eM9CKKUuTrOdvs$W?7 zoeg7hu?#M7=Q&Gp0+{}o1LekGz0EFAPX9S#QD@errz(x!Wc7naswA z)gBOwUFNDi79hKZbO9A2Q7&eeM(jod0>hwKf}{TZj?m z5H1B_8q;=fJ76!!Xr1BqJu~{9(KQzE6tk1rq(A=oCzUbX^ABD%K=Cs$%IXfQmfByi z6hAEJ@4bsT<+Ok)dMT2_GIzQL65pTjbtH=k4Nzacr`RpAd=~oRj6!~3(4LmnKvB7}>GE)YG$5SEQ`jN+R2)fB(sRtc z)5piMtQ^cQe?hE2#qf;_Q$`MU50aRb%ShqGE=nPDxqnp3J%>D!itDtzi!^VNw*$qGp_+lW`o% z!ATFR+MK}1L!H36vL(oMS5}0Yk(p^9s^rJdnL3Z^#iK5nK^J{;R&Az31UqXGPmDl= z-0)y9&aD>K-z{R2eFBxj_CH^Yb?0?!hg;5HX?+(8@((RjyEL*yYWRK0lz5m4GlV@Q z@@Qo57jFdf&GwMp_?&=}3LPS1HzYn|Hzez+j-Auf$$FuSCjz?wxb37h$;cQ6ZNbeodQGfvB{)it{+Vje_vD0?Hj#c`z9Ev z4vfX>$rdd`eKInsp(us5lmgNIeLr^G4Scee9Ojj(Xj%eVOj^84ZGPArb&Y`kdCeUUcz{n-r~HF~O|@GP zVdFNuoS*Vb>#QjZWvtL#8ziAnT0sP3FGNu8M6hHQ(^bXPd()gt>E*=(qnrfqh%C1U zpu6n$OW?I*l)3u2QA0n_i_N6D2SM#*r%$v0V40%Z(R;HVKG{bM^=10*8mtW~t)4x#koL~>^{dmB0|Ig zsG7fdMT1r!vtJ{cPibw4Os{WCpe*vqzAr6yUvWs$?M5F9VT;X{dXiWn9;Z@ZFlxQX)yVTt;c+}CR)S1v9xO`pZV2EbEoExpQ~bK!B%}SPI<~wfqc_PoZ%q$a5j* zVot0FLHs7SgHMAw1s6Sd^YJ2R%B(#Is$) zT6>>9UpgZ7u5Pltq8fC8URW~Ppse$1WgC*boa8VHB)DW()2=P1n@Kl==Iiv4ikgrI zUUBYAnJZ}s0Sdng_cx@{!Y|$Ma^~E10i6CYY|V2LJ-Skw9}eygeK_};5Xp0W9>LeB z5n&ZncG}&b%aFfxNaTS*a#`@5=_lbbU8@fP-(Eo8=)eygMSu)D{t4%nZi(XdhKZ88 zZ&0R8GwBjh8oYJU$Bx?b2C)*!7_g6gohbA|>3A+bQ9`*8=kAglAMY`^4Y7hP^+%x) z0KayYUKmfv&Ee#>Njfnj!@H`c)4mzS??LdELao=)E!iuDurXO$1hwmJ3|Kg?-Zb-Z zco0%ozadsez|(D*ac5qOkXytK%W4b}1@R&uG;{r>=@Bx8f`Vt1jS55sS!a>|(Up8? zx#&yhHPCS`7bS{<9vET>h$5u;bFqMW#fqtL-RkqnU)GujX7y zgV^UoV22uE1WNh=@u0}D*wzqUL_Y&-P5i-(R>fc&j&;dmP`m!zz!BH;%S+*}O>QvQ zhvC(e&o_#~C*-}YiC~b+1e0HrIiH2ss$)BISW$aG60Hy8bd!NR(P73?LkVeLtK=4N z41SU6!Ivv>Si{zTPr<;l_2gd0HwH}!x~Ct)PhQWT4Sj>mB(PIwhCwRrh@JN495`Aj zfgP3|yOVC+{=g#>sA57RjPvI7Nv+9MSV-p;lRzGPPL*m(3NfuPPUxkF(obku#0VUk z6g>Xg-jNBQ-c-cfR@;vKWP!3dhz?6fP73 zBlU0EPzY9?;R%r*S@b7-*;0$&4Myo*y4Rb6Uhc`LCKu?Bf#)1CYGBYUSFU@niET-z zGoSku@_|>)sB63sf@%%-5Qf|wqwSmF(1zkLZB}+sE`y@E$wecAfD!J`)+&?YmeCIO z75VYt!TMdFH=Ygo))*}x+cWn#+IDlBP?uVoNV9^i;A^1o|8=8b>?sOAm78Wx-r5@7CUzk8-fB(Cj;T_zqTqsTl~&xHzn2 z4pd)HiC9RM+mVISjObZBT6%iMtx{!iwyJ|OP=xhz^Bs9`1zfepHtd@eUED*bEZ=nz zUg=f^N!xlZ)v;t9Ng1SNBCY#T|4}_u+7$B_F7@u1`DTQs;S8@|`;=;BR@G8%cVGg6 zl>eIATlxBEeE_g0wJ~Xh#ts!*X$Kl{p%;R0O+RR)+;iV_%-m46PO61$_Wk<(RIl7r zF|Qz6?P5AqGM#_^zWHMl?uWZc&0;Fl__BaI4l~37m+Px9rNn`dNau8C;BlEMV}wV> zsEleeb~yrvS=ZFW)YL?39~aBP30U*fBuE;Iu#MzNiN&2*|FD`M-SnIe20kdu>nLbe z#_S0zRq=s$_3$%h+`UCi;wGoc@ZfBfT`6*SQhPpE5oliB6{Jq%-iNwRaZzczBSVl* z>=Jd4A)XiormLeaPQ8QTMr#HL#%2&ML6Jp?VNTpj?co@(P8qvnnAoM9rsb2Onkp2X zH*S5+BDYD#GgT=8rGYhD{`Bs?SqPn1OZJK#g{r-ZY#ZOUn#NWOfAlohiN$Oez5Af| z=!a-%^qbX)bnHfRPDeZqSVFNphYM!!6Y?c8Bvh%aKc@|y%h7XzHU-IFH7X4BpsQ*e z<)&XhG9HgV0}H}B3eCIroWf_hnCq{9=8_s!)nFeeW0@w_v8_U>_XK0xDV|ctFA9d< zIXSCZV;&7&Y(H}=WmtrcCC9M@+sS3t;&vZ(Mc;6JBam;NmS)$WJ~xiFx#=p#Afxk2 zm&4i`)@4(A3~Hqf2;#QdHcEImRzH9veIp~@bOGVc(4?6v&1ZH=HMg6w zAkDF7@F7#~mS9QuKmp}E>KxNd4SIwJtD9!E_BW}MmZP48p*T!UvD?c@w=7qJSdg3*?y z?<$S-0#Y@dCTNnuhqAO#63RX!S8v$OwUpQIEqa;plnlqAINjv}&!`T-X{R7~uKobR z0k9C#ihh$v?UVr#JF1HIn$rQpvzT21jm3GBPhKr7q3fi&=sUv{;p)W=9Mu?xZKMcq zg&3R6)4sdKxk6 zcW8OOOkVKiESaKMM}nOg9~3ngewH@-Xp-`YyW~ud!xui9;i&Xi6mjCF>q0(o|oX z?@~}rKs_kFN*oVzu>)c;Bw*|Y(9I6Cw4KfjT8s7i-%rYohmgvrdx`y6$P}@LA>!HT zO()~A0ywhv%*rjqho0~h4G`&Z(T}3m?-1F*DcaPLU8*M$qo7<_x}0bzsV@1jS&OwH zU9SRa(g{N1TSPY6cc!9l0@_%n$Bh7a1n`8B$%EtG;zB;@tg-q`QcXl@JBkPuTr)bu z15=GrD9`5&+>tI89;0XyF5TbpqYr`pLBAYa7j;|PR+DKp^vT(O9=qE5f4DUucKI<&jbY892>4dL0iZyv94#4 zE;*|UHHMJav7L7}yzSPjYqwC7al2oVm!?Bx8>8|sDQcR~C(EM>=BQg~=9By;3zEtZ z>K}0M6gJq;BQP)-9)sIMrcG@+p2dfSQ@q3V4s3(RHH?I2lm(Y~Y4R^<{LL@+eC8wI z3G2)Es+)SsxeHpC^U8}1?hnNJm~FRu@P$#Y>z&qtdR1#y#7vB1?7x2{CFlRmOZI8L-;}!tR%=itjXp|) z)~kU1ayljX{w7l;Oa!*sGLWRC!5=HT>TS$+8!oyoaCuz1bG|fjHLQc@al3>)ED)w7AZN{=4aShqHBoryj>6zmC{F zZ8o9TXd8ZiN&QySvFur*yX0RJn-#5u?i)G7+4l4&&_jLo;6uq8t_JY=-EZXc4k0;B zwjfgy-Q&a>hbQ!P5M2)?sP+LvNA9(*ry-+K%Dt05c5v%efwrw!!RA9DZmhmG&wui{ zyAI1Llq`Vv6p>cYufAvbK3SO6ykT9E;V9lb*_%c;Hub1|JOdY;)pN(R%s)|>wsmWI zu}=yYuTH@zX|X9e`{%ECeFUSskdLGMJGfxt@q!zucz(gt;9Zd*fhMG;&rqM#pTl?I zv`TzZ>vPY`Y(W#OC@&aeLUsY_LLmsEL;QV+rA8e3*Edbaz%_SS`wk6Pd3?(wAx0#F zv;Ye$-?FXAQ}+V;(%fqmsv4X7x+ELP5RUW5yR_9+g}Ikan+zO=MC5z03>Y&sJlN(o z6yba!%<(@A<=z~Q%XmhNYBw|i_FJGjU0i$F%6@gL!r@mY#r?5A{-G{*pSA2YCL-Sp zSL`LPVdtD0jSlF!ed?>@=)c%YvIXB8o76;C5=V@|lWZ8`I*i;Ce;M@eb0CW3SMeT= z5Mqbg?W$aP5{aO`>tFBcnoF(a0=Ozxf<~{{^ycIsW*WhD0X@tjJYUL26bz4i#06(w zIE5|4MSnZF*$PzX0@>Q&F~8O+M*2Z(p-#lgYOvhzg&d1D9MN(@=2VU)7_7@yne%zb zVt=-JQ62LVRSjLKdiQ5ps#I;xhm%G9BCsPX)35AhWa9494G=V{3uxaIOoUB&2!2>0g@qOseh3r;L7!U=h511OygH^ zG0+i(BbsOMZL9KaaWPnVW+|`ANRATg38=&MgN9Fof9?8)@zkKednuE45WVp2ZkwOB z#b^?STofTyTE0We3X8<~;N(ums48)F1u!)W1DXxGmLfeqxR_fgYGD)Az2;i90N$(n zacT4BSr#t8=u6=4XFtY=AY!FRjSY|5}f5u6V1U)kXXaRF$u2ZqPK$=#Q1W_)6pgnVb>j&#nP9I$i_fhx3Y z${9WIM&V}H#-vr)1n7vm(cQ1noeNDi?W zl&mg>xkSZ+bFb5BwuVC2SY(P#We_d)O}LBSL73S2;@lo3?8v{7?hI`a|I*j^5-RJV zTCdMt4DY!lg(V^V69A`Mt3GsWDj)?kDW*L~DEK7{moMoi>5vOo4I44W!w&UD^_L`pc`W$oQxce2+{fv@1;O(0iy6UAE1y;I20Aiio65k=hgm zzv}Wqcj!INNksMyIYY$$?$i@lXf&OK=9h_w*o|tRCSJI%jPjm`uUNf*o-m7cW$;OmgRTXwu52{D3bIo0m2bj;VhaPMK!hyTXbacu z>bnfJac`p?0G9BXS~30a$b88yscEO|&`QAX+ zqsW|+*vkgig+u_XVC$-GR}SJ>G zmt6CKpGk_+{HwxV#8qP4cjx?1T?*=R8GbV8lT5L3MFi+pLm*cVmXYr*?IWEW^e>1V zEHn&aPs&jyBj~mD8c`(GLLQa+w}+H6$IU&dXQ*uNkz%7JA=QIlC@s&5Ei{PL{?n5L z2b0Iqic;qveRwZD1Jl1Uc}&ZcAgae$z%_{0QH!D`Oq>qUj7$zRNf%X*9-mX5@03hg zSXy*OngSK*Ep*qkmoEMuf|ppJji{qbRIN#X^Qya#Ot5(zzB?R1>ub`KXCL&eqCOiP zo%d@ECKX@}%qmshGfw5kW7>(S6q_nmsvokH?n4Rw<^kIHswtC=(n&>4hBpCL&bV zuXM&FK^0@dI;x2{?&Y3ka!C4AXe4BgH-r;x@)xOBwQp}@l!-XaztEE&d1+57+Ovz? zzW7NS4+aevqhD=nnH7tipQyd9UtrULBYR-uvF!9dQv314ZP~h)1?}3;S2K@;ev^-} ze-Nu)lng1WrRC$!$Gk7JwnvZtb{(RU|8H2v^mOiOd^#c=ZMI!G^`%Sk*U$F>bhBjUXo{W_8z>{?h8Y76;qP;vDK2^xLp@4iVrXcb>cw|NfxJh&HU zFh{P&yy=&%pmCH#M8&H!R8Z;p#ET;IQh@ezet-lvu9)LKN-j`PUbf#d_}>opF8_EOi>Hc?_>5Ta8!J{PhSJ~I_k6I$a^qOzxG zsypbe(96aYow;Z==%VhL>1o>5>%FT0Q%RLn8ZQ)dOVQk9D&lu^o}b}uYJ%wFhoVY` zv9R@sO7oQ}&0kgYs=em1lv|n*uDq^Z?!lB%6itmeVT`y9hy>^)=6%?-_bGlQ4Z4X+ zz_fY9tduFBLa5*r-Bw-NF4k@hdG0IimtPeQ06m1V-kvjq#50N2+p*VfZyYGm; zkcIn++|OpniR1?*yc+hc{uNr923jguq3=c8P1ogsDhjEvZRMUu_jxKiK%Q6L51ouB zf#`=V2!uRn9nc1H-*6Bg1pf!6D%%gX@-La_{|y3C6_$}#SNnm0lr$KAIGz7vb?XlX z#KB6B|6?Hi!GPFU{uc)H!vy_*U_dksKlsl-K_KRz>;4-MNPtd|&cM;p&du1++S7R#&299(l)+RPTKoXsayM>eU&w+)3HJy!xt&0<#oxO>zq07%(IR8&x z=pW#ciKB@zos)%)h4s(1F18k~CXP-9*8c?=`UfHOUyvc@f4iIiLWY=F+5Qs}`ss;f zp#S+k|2s0oM$gRj|BMW|f+)}Xy|ezBqagXk$d5TBS{muhCQc5`s^7<|Unn5YSuBJJ zoSYhOdkSBqAbBcZMDop)d;I#H`^@NbK?_g0I%nS|;4;oPP1tQ!g4uni#YfsJ(1uic}U|^0Y3zD2v3biqX8$@$o zBL)x$LkB=jLPBuEg^eHQ-_~P;FYb>DYy>ByPqoI64G2n(#SXpy8i&kX|AZc$)EFQC z_b(TGAU}`-t*e^{2*8znG!H*sXlPq&Z@#}C5Ktol_)6ZWKXEpIkQe(~+$MlYltWl+ z4}f|Q(FSO!uo01Vf_yp@fEKoXehI{kLmlVI{{9d@I!9Ia4d@IoaCe+I&2XH=h4Vb?^ z*asKx+7QT9umI4k{r_O?onk}@12x;mZrirIciXmY+qP}n-fi2qZQHhW``o#Aa!zt4 zGY|7vkAG6BN@dkr--s>|*s84P!} zUQhO}uF2(}?rj-zGCyh;@HE;@)Q~TNI}yQ6J%Ff4s>ziPU(RoLLcl;kxmFlZJ(z|- zBJuA;9LtckZ+64f8=x0}w7}X;U|_x;o*y5NpdvKnV5i4VxX%}#U}Whd6y&70AE{5< zoj@>hIKP&E1bqx#~^?w>{c^-$>;ljlzJ1-%OERMZV0J&#pgQ zzD<2luckEC$SI9<05iU9Hh_r0YkEDsKRZ%CIQPCpuQh*vXk&g{1;?vnVtTf?dcJ-_ zu>$-!J-$Ko*e@db?scJpl>zU2@r%$|v9 zWa1cqbNv-2GV%%F3c^=2>oSu?Zk*JIEK{R3eRnWeu{d)^2SH}t7}Rl3%dk;3h&m|Y!<52j0A64ShJ={6OD_Zi(|(+$$_+5ZCBLRbNs-kVr?+F zohrR8RgOJCZ6b&55UVt0G%JDhm8Bv_}?dtA<0mS6Uzp07FPI% zf<_lK&?)?B-_)`}7{WugyE4tx70E=i_*!P3H~b#s4-FkxWB!Od0orSeN*aK zbKLQ8;$jnAe}3v+#tlf=e0Z%2CplyiT~l?v6PwL-8$Ku}OX%~nN@n4-0-GeQ!Bay6 z=;W<~F;M9`c+XIwbF*|;;oFaI%n-hG_V&9cYdKUAvzF{wQDS;4|y zudyuOE&)rbKkMg>MQ!wE1%cMvF}wIXR4aDCOs@l?%W^5^R8Z^V#&WtK23;8~zv#W(85QP)to)G2 zbU7>_SH159d{BEQYbys@A^kOJH>O=(y>UBr*fm*hD5{dL`F%njmSI1l(eCXSu^PL~ zkLW5QeM*m|?(vW<60F>-yw9?iJznwr7FLEKt0Et~!xe;M0}u(L9&_1)kv3`p)3?^< z9LK}VKc`2l`YlJAIk8M!{d!f>*>1Ik`;vD=WF6mVy;6LP*)?RyjFdqz4xC~dnu|}jo&0m zN^CKn@hh^3h;s*~4Pf_tFhd*q6BCci6~IjUrB4moDmYB)R@SvwjtFE)`_tTi0 z_3*-`gOZC$EHLBTfuW}H7K}C~hp5?Ja)s?v*7kiy30iQ{gltFM$M8J8*QoNT;6739 zQ;J(Zw1uQq^IgU;&{7vrN18XE%%f(5CYbF9dEp$Vd}K0T|K2OK#Bb=E&5?By zcQ&Z(YREOV=gF)B{uc+FZ_0IMtx$DNR_HY^Eekgn?xrqJc9I@GRl9=R`J(sUlvV@x zlVHTsEgYbXJU*(G*rV@%Db76;zpicO0!_i!oKMHDi)d$=+)8HY;lN|iSL6V|vPW&F zZ?vIG4P|r@rcMGWcpqh3InA-IXvZ(`#WUDka@+(t-(!*o*E$Z9Mv@@jm@=AG*%eFX zArQt?gkyqP#ddgC0>`(EF3iUpogBWi5U=gSJ(YAbWw;Fckn3dRr~V3GePw8$6r{B% z%>)>YK}7Raf5ai873?(uEn1{ztRJ`qkl=b0AHXnk)YoXz4|=XYt8^|zzR*^Ae~y0D zlntu4BQjs&yc>;O)cLv}=LqJAeHGaAzFCZle2Hgxg63T5cB4vkyi-{4 z=lcqXFmT0nRc?U35)#nOuOgyC%%85y|G214r$PQr_Ni+A^wF+_9 zMNRq{g&NvvboSy=-_Qc%cyGO4cO|j*QP1$qZmT9$v6i=dQ~ChZQGeTT%b0c*cck>d z`NG<90HVSYlqMq}WzL)C!A!g%j$ug(msq9Yi=_=rQ8!u-X=U@0tOgAYUxb``*O|MP zZxW?9iid05hK{+Yol9F*w4m9(AvB<|ejG{F7`=ci)BcxtxEsOYLe{W~cY7}^es(FI z^ORZlFZsrV(p6;4=ix1D4b^2z?|IL3u4>}$&@qwcxPylbc%hnzLO1#al@)?STJDV+ zDS=cRRv9>cwpa{}hq^N-;-4%u|6T{~$ir4srn`KIEE~3C zgJ?NSl>lUcfo|RMCCbArY&zGvpdg%?I5l(QOxp2gND{HlBD|)mUER@J=rFBd*z#d- zb;e4kO4-4x<{O;ieGvEE`a>1N5t~0Q?YXEdwrta7JFo@1vWfSINzl#C7*{LWtJb`W zp)Hwpd|0!^&d^SEybGa49uWopWMc;PX8Gt%8Xs!>>TX0Jl0fbQSJ|6{7rdzD zHq!h{1BdH6Xk5AsJ7trCr!ce8?_*8U3sGn~!W+WvUiog4F(7w$Dp~ymNZZ7xdU>;7 zKb!e%m{Cy`!LUwzv&lKR%y}Pvy!_^0wwAj!nV|aw2it0nD;0`fhoFkBaAs-hd9o(D zJ4=|7a965#Lrkm&O{Qm>Eus@w;LCwTO_hYpbWHNJmAyoVF|SYsYEMkGbAYt`r~4hp ziEztFRU26w)^uz;A^j1iI#V28YePHJW%T0XMKPcxWL^lDEfAb>sm@_Y%WHejCEJy( zQ!b_lI)_9qwOx(n3F!+ zKzlx&CJwJfbb{2gjncqtY}P|s_FXTQ&SF|gM8;UdyW!zt5@KKB^rf42z9n0~%-pbS z6kj1cUj0E4XPYB78&Kp?T>qtws@OEOHU1;8Qxy-Qg&Ut+uvD5f5Z~KN7s{m&f z_ct{Fdff{#wq~#_y#gxO1IVIYf>>?+G$zh4=_*tvcp7<{2XY**4I@qYNZ6Q;2;pU5 zfExR|Oa~8{2WZOj14c=-VAu#+e>R`}hA9qpzN|VcqRmkRNK@W6RUYlxXm%9X&@{wd z;fmy7;U%+L-*x<$jbj0C*{RmDhqpS~QFkb#GxrN?{sa1b^aXcgc+%G{QV;%{yG)kF z*w2Wp&u(Z!U^Te(I#vQ4KZnKW9jI#>z)BXX#F&HFLT9r{u^SZ2$4E`LLkg7CzFViG z90)ZL<6$!DJvDN~o5j7naF8j{F#7sp2_+2!d$m|6up)s2?*3S-zf(RC(n4aB7?WD% z^*W((xmy?!9^W#Nv^&HwUF$jO_kcgi$G}NYGLP}t1TukF{wDnsLv~P-ea&P=RFPHO z16*sz+ObBhoIql>#DJ_iFW;LrIyYKT?ep-5bz>rb^zWgRNH;1`54+pO*35F4&3wRx zeZ{1|UNP($iy^)efl7A>54?%I7{X(0>f+<;6qn5cgeb>;_J1=`LG2FNw9!5i`2%hq zYK*f!%ks=O>IJ8>-OY?p5h2anl3$9vlk*zyqMMMJy(Q zZDqHi>$*T0v6qnwviE6e9AzRU;4w40oUAW*eL;TofVb2-@tjh1%FrCDFzZePN5mgI`%6t+uOV+P6aW?ns5Xl?7;1Kf^OkP zYO#SJG@WyIGA$|dn@m~nome!(Les1m5sAqlMk2z9m%c0xgI&5)IIv6N`PySQ61UaG zC0$h1<;g-_p!{sdtNnWV&vy=MmbCOqYM-mCXH^R(FfRhHJR={;2z7IByOdBi-EC!x z5PQWV=Rx`EuFuuLc+;X&&K%S5v8CD*?&A{f!D&w9QprSFBX-*z;Z)Ba3Fmiz+XSwX z3gFiRex{QEyF`z*Hi!xEytz>9oX;ApofHT$OGYkNXXWjV={i_FlSy{T@W3q|ttS`@ z$)oEX8o2g5WDi#~b+p3Ls+a#(6gozz_(m6_%y(y<#v^Dn)zgMg;h}80g>)slsp4{@ zt?q?ijB3RC=Mpg%ez3!gsyRsH%7~~1B2Ub7Kk6I~v~}H6a565hmD0dH@M}_Nn6yzX z6|>-=>@*G)KTC=krv*r+fvvAh!=##UV{j23u7OZ+-J*a%c1>&!^N=Gq@iIx}AH1Av z9(}TZ7&6FygtRIH=~J3+%0`e<{~Ks6AnwRA|4@rOmltB4l7>BrxCLNwEm@{|uN)UbQ zbG`#hHI}+Jr|I5Q5&?_K7?GcPiGhEzVbwAo54(9XjwEY$%J9HS^~JO(m$MPyiX$iY z7=$eaF8Js&h4j?peyOg8L!(}Behc)*CjUewI4~%f&GmFKvkfVuE1TnMXSovirj*_w zF@Y(EX%Zi`5@MKC>l;~C*87etn+v1Wkc_QxFZgJ8!^0Q85WYI3Q-afIA@)YVNSXwH zbVTt!xvSLkV%+jP24dHD+uv6RJWy(zNH@$rLMHK59#WBP&LF^ak39NWMWNibDaQ^r zyzr?#uw=$ine*LE9J9J73sL3=b2b&myry7XQ0O4r!*|sf)Fe(c14jJibV7!mIjAre z%gbKBO=?$dQwXP@IhKfNcZZu`cC8-UtmOIjiP%ey{DGwLm!HX+j$w8WjHMdj!jW*; z{s4p^dU{G|n(G^s!nm&WZ*^}?Uh5()v~3|zg%joIMz_FhCidQt^T}mKMs~N%2ZHmf=ihVMd<{Nj!J#I z8;NQ6v#D(d3UAC_IQ;a2oynqO+|?$?x+hGf%QkLjO<*g}ndMu2 zw(KMTv)TU3!m+C$Nvm{8lcIwG1?U%-IUjT`5`+C)=>)*t_h+VneFFgqGTh1TO_MU2 z?h3zy4itAs;H%FrWhO1o*9oLh{n-G2cJW51Y`H-fGYcJ&c9o^E?IDTZXSX3 z0Jn>YD=(!j5S_)n8C*-F@r?vsk`vUIDo8Y=aVCbYtV^A)vY7B<&#~{5p|9}IwQm7+Iw9TJ`QB}3H}V1< zmzL%f>eITE%^U1bNXa8r;qO}7-&;5aQ>nUgyaSUI-TP;!R(psI%|#~Q$wMvX(vWCH ze?&5rL4FpPGGla#vK#jP&3Wb8^$^Q==u7f6B|kbAsBB5oZzQeqW$Bko`J=e}j7N|nm|yB5 zB2qkI(&|FR|?+6eWa5I7Ea2?EsJUvq`( zIqP(0(=hi}SB_^8+7rBBMcY9|lX0JzyUcobdMTNEtM*_w*rS{XHzkax4^5~a(= zBVEa4<_gz$^kqa&qUf*kZdNsK`Ar7z%1b$puW>HDrG%!l;4K~D{6jxI<>X1eW61MS z>=JZU@OHw}&^0@K(lhm~n3*-!@fO`dHzpI*){tkK?(jH_>2zp~+6Y@YOhTICd!$2^ ziP{V5E~G=ltu)-oa66qjO^(NVaBkc&p7^!eH35*0M1RgMax5XeYe+^v1PPA=D<-vt5dY*7w+wUQMf z94j1reUBuUJx`pCB&VayJ012O9p`hYQ=vEcIk=Ps_^GGcan9b6Qn%2~s7K;4nDe#$ zmD4)OcM8A*Rb@b}HR;ErI)s-#x~Qp~qzfE_J4BK>RS`*~DOI4QXa9Z?n&=k|E&cT# za6P_?^|C{J6ER1{8{x&-FDg;Ttnnu1S{Qwk_Gsl8{3NWrIf)dyxq!;pml@lLk3N<~ zt8xrR(P9)`V6V5joJgfb6v+wpF``;ken4v|yS|NBQ8YM#X^vJ`4JY+SbYfd4Ad^P7 z=1H5Z`a@$7!M#@2ez)Az2*jk4*nMz#(@o#;kXQ!S#YZqTNO^BIz_>*w78dKhck6<# zUTIpJ>KgS;WHPBYY*t}$XCLj$y3&Hj^&vW4xl}Vd<}wda`fw%l5pzpag;CZPv3okn7dZ&3fy0hAO+$TS zFB2ZJA}g+WZfv5ebW;O=U3&h|T%OAu-CguquSsT7C97PNIp&W)M7mkgK|#Vd=sp7z+=d+kZm5;z^z4(q&nqlp!j^KnnlUsBTl3m|3G0 z$3ymU9AiyEgjE^5tn2zWk=h}}mI6{2(IvHr!C9D;rYMK%ZZr9Bab^uN*-V@6V@{Z$ zsekJ~PB~Ho3C7qXMXB;3;ja!D2vL$`e87cfgMQBn-Id=7v%d1}34*;%Er<$W`gbbD zDq#>OeaQoP{{aOJ&xRrahq4CG8ZEP7kxp_R^1ry$i5NxcI*v_)=HQPHUEmreR9-&0 z`*+$>qLf_W;lmDY&tdOSUEi9kcXKUkZ5IZnFEqiIqVF{VJC7ziH=lCjn^>gIUuJ(^ zhFAlQIhtXxtkDEH1nKRH&pLCyW+M>akent=Z%|OSmP>yCXKMdJ{x>lN=KnsMI+xve405?(Xm_Ypn z#=mI6oSCo#hV(Jv|4z>U1phhrXa^D=^3PXr$e(w>hnIu?lkl~H5S#*R!Pf~-_s^eB z4lOvy5McA1+*OyUe-0vY7tA1?`yoRW%)`jr#A^c+-_=pQ`sEI@#BK*yd-kbstd zF*!L<%+r@DBo7GL-(_tXp}~y}P4xW`1d%+PCf4fbF9S3%ISq3@Ts;^Sy)%8X?kZNZ*ehbWwvU>{Ha2T~CTw9OK{^NK}X3 zTl3BYZ^nk~df83rOL`F?(t8(2q(nWYtIYd3q1%0JDAVC z=l}h)aeITpr-TeH$XCbb*-8Wi@ha~TV&sxi>uI!j}?>zquK-&wpzJDM25mk|)k^ulC%YcslxHJX*AXEWjhuk`S z*jB)z1|S7c&LfDL5XeL5#|`3P`?p2k`VU0GtCcR`jeqt{`HD}W_y=L-(S_-{LeW6} zd8fsa(Un8n{POR+yKjMrNu23)V^NcaO)8T+agt zBstd32W8Glt7!a^`qA3Y=vz|Ks$N+&ia5peKD{ULJK3sA9`y3Ts@*f{ATmL2AV7 zGyoqq-mP#MdB$zO16*eEosRQ^r=){Q(2G^Kra+;bDwJcnICOm&1wt$A+?6SY6hkwpJu@B8X~<5GxnayO++UYkJe-|XB;I{-Yz=wA6@A-y?xMPIR9q5RMf zgtTOd8KIMhA2PwznWGiSZu;z%?`@6{WBRCREvL+PtxrB&Zt%I*MH_epu2eo8oPzK?o_*f7^U+UFjsfi&$s(fFwZqhqb@6XY!*W8b! zfPHf#Ae=@4sSh09RkfYmAp^g3;-^xo*hA$G{#lva34(W3`T*r@u24X05qc<#Kiuql zCxP$uQ1en-g~0@T_l_Q2v2n%RO))xH+dPA%hVtRVK2G|(TvUkPKp`MU<3jhoSM}V$ z{nUN_w(V)fENVH)EWZ=M8qAyavQ3C7gz6i0=oM8Yk;S84C`mZ`$^Qj(*%s}U6S~=i z?lMmjmpn=U)fq-OO6VlJCqB2Y>FQbgH=9u!8rIRUMNukR^&POv8(a^==@^BBZ!)2dy6+C&p8q_7_Tu&BxJ@z}rL zHA?}qW6=5tEBm+hM3cCxS1|=aX0w)1=QBi4BNCV-6^!VhtAJ4oTNIjK2pc3m(7aff zaTYaVfDSfO5-xx;&DCAoD9^Ji&6WSQkNQbDsJxDLII8@>t)#Q@*>xLkNt+Dd${}X( zxNIm-SCi3#;vZG;>a5xEVYmXuSSr9n7vFA4<@gq|f{l(9>=e@BvH#JAmul9&Jnua>$r8 zBv#Y);`jQ|zl#@ol@$X`92=*BZbn_AerLHS8YK+qsW$N4T zv;?_LmB%Tzh7D*M2oH^*=KnbyEu*Pzx>Y7%S z5L!Z+ne{ZU3QA& zc?~5W#Ous@srX*!BkRdu;<}y%!NX3y1sc2INZ>`>G(yq>DzUrsw!IuDftoT-Xf`G4 z+XaCetqpA-fkloS;hix=D95nKaUxuT0N8IZQX;M;dx@H{Rx@wY?ilk>nwj8-#MsI+OcJ^ zl}-K9pa91VgU<|dqjY%(jbkhDxY>K4SKdKEmJLDE1Q2Tu*z>~&v5ugL9#__}KIuEN#F+s#`D{%!v!92dd{nnM zg${<35>Fi-@R314K9#}~IK0Mq$zclX^BQ_x784k@fSSX@4 zodTKeRUxNtd+0y}wpMUZ#>Rx|f6ru-)#15z)#(!^9wje|^WPj&) zzqg(@Y&5ioQF>}-QMhh#Lcy&1qI4rAd|eINmGIIy=58h%=FD_xO>@PXK0U-jBsCU= z{bSEH!YEw^NHNX2eMJ%@%|Ftn<a!hwE_$k0NA(ctQVkgY}hNdZ-Gwda+(Qu#Z@ zs@(0;7{=+(Ii=Wvl~Lm$(sV6~ts~nUYO)0Us<|4BX2Zfz6%(r_vb^(i?+3&oHlLZt zv4T4+e5zgPW!ONOqLU0F*X#VA|2MvTvo^a>#u%iWDWj4?goiQjVfDFbOhNXd>SYY) zJss9T^+A|kH62Ei7$Jr4YfYygN&^hUGGcMza-&S>7W;}^WLwa19BaCs z#Lf2W($=wFy7}Qh-)T+*0-DDy9DR>PO5!wTFN#)0Lo9^hEL_Ik7O_I&bK}8rqGOHG zd%cxx9jVao;%(s^%$ukd6*pGJ$1e}3a+&pe9_x9!SE~jm*&X*RTjzyTzrh?>op_r? zp8e&imZx%hLEP=fK~$>5hDn=glrGc-Q2w$7u&m&M@PedllFaPQ!4M;8?$8T8+O5v= z8{^9)y2)^to@#$Hldk-x+)kBf1TW`5$uiOR*$f8x=^PT%0h`)p^fIho<0F_WuHx}0 zj_4=z$AE?`DLnojR{#>Y43~-PEN?yH6sl^tgix(#t>dqPH`jDj<%8S~hWGsZ%D3o? zH+PM^&Y>h@&b6BlbcqJfOk1Dca;*NGN=$g~LRAX_v9keR^kwSqAN7`QriDuvgc3MF zf6NgGE^$B+5#=hKJa1>O`&hQ?_=>3w8fg^r>=XGOmU};D0!c%~pj@R$C z<9VZ`%%0HvaxJ3prej+)d8o2gWH1l~t8XQmVK{_+EPvo|&uywMr>VmbheaM|*&xw# zQ$O#fFNa;jr$_nSFvU8qFX*4|K7yZGla@aksn!AV3kBcC^FDYT$0zcc^29GqF_MfQ z;EJM3eWdVUXEE$l4#((>L15II^DH%Y=CCQhe{7jWs>_ES@*( zK08M*8{?Sm%#DcFTX=_@{XtM(xJcCZEVaBDbEXCQq6|{#E$rytg#jvs9vZ!~S$*X3 zizb)ve02YfGZMkuD~Oe;zb0RpACWM`jG_H;=nWj)D{2o{6~Jtmed)jmgwk<+VKUkaH4IWVD^0JZ!{`(D_G}Mdham5BoIc)r~poQTJ#*9cQV4A);QAhz3@Pqa8H$*PIzO z$S?>{gwEXwEk-I1g^z!)3<^6XT9oN^Q`1R97KC+Nm^x{vD~(z1&Z3zdB4$83UH#$aag^7B_jTfd>WT(RGo`#YJGspN&5fWPR+dV)hb7&Khv|KwoEloU(6O30AOoyxe}ooq6vDBW}q=!CWfh?TWXBBtkKO%7fpC_**vs< z_42&CwqnUQX%qV^Mp~NYVc~w65MaBz#re+X(j~gY=-jy(a(y9hH%MLYb@kQ6x*LznumSfnZb$&M5VGRQvAbYmu?IPSaRJ5&279xQSyY8$ZFxHyn@O8-jZl_ zL?=sB zM%EImS{^#}Y$ZkoK7S&Xhq4wJ?7<}xC04MD4PN6S0ltzB9iI}%mvsnaUaGFYpCX{Q z6g2RkB1k#Sr`D>KuEW!{a$dGXnWjg9(Wdz*uVO~L@cpOv(2Mh%mOoEQ;0S48t?5z_UG|Rg z4oSxngUlL~0`uVVIm+jKy~dP{A@gU6B-#Y6An};A0_S-kfT2o_s)JMSX#XsGti74; z-~%B$HMJb`l=Z-2+^Ofu1q@UX`W_0!zqQz7X_(4{t z(VksCb7_=rQtRlZHOvB)dRCJ@cd{;FUk`}(5N&4cp zt{_^}CfoJc9!s`;Cj3TJU>x*w-rHO&IowWkQe^a-gOw@CCLK!==XYoPyL=ezlM?$> zm<>*FigLNGdPxD(D@alnmihQC*#X9LhM0HLyD2teERFjm4gG?XTw~p7Y)0E8-=bvSyIiLjL2l_ z9BF^dq0G35zcf03_|+o%V-x=z{H5a>n11nLs^#J-3|H(po1~(*nxUnuOGtY+yTUKt(b2rk}A`_7gtY|ApJAk)Rs1`1WSBb39+8IWuRR9ZS zjg-=JP>GG2AQ5+BQF4~uRU&SR52V3*Pd&v1zozt#;m-V_8|~2bd(5frE_v#Z_>|9% z4R9~ONjw8kQ~y4UMJvsUl*83S_?hD{^#zzwWROob0B*&ZQlOY z+XBBHeF;~3N8L3ECv$@y10stx{5a*KmD+B=`tQ5hHP;pdcP-I)CS026v$pG5Abo|J zHwi7qnPeIH<=SFtCMppXF7&MByzSP5^hO%qtLS0fJdTihjd!VKsD?z!IUYvg7~E># zq&fj~R~2`>T!8o%T{H#)s<8)fD%$^A;;N?lh#qx zXasg$#dF%Ta=(8FkMNvd>=&P$9~?=}5<@Oq#srq>Ee7PY;sxb3c;JX&$lXf&WZE`Z zjV)%rnjhMtJqwDK+SS}cs%*LfXQ+Dn3B{INxAv4dx?3iR-_83ZXMxf;ix&hU4Vsp! zm&%#X=Mmz!_0?rTJJ!d1Z>lTZ9oedmU zZb@_wRi`1))bif7)%`KPA7{}vcU;RL4N$OSPvGQ7i_Pb*m|zYQ?bB4~L_42J`z#;o z<$D3K7BQd5eBoWI$zAS^p-D} zD_soV29Eh;_cTsda;DTo0BPjonD(;yras6l+$gmakWxbNc7!^=+dBihscpZcr-c&B ze^86d3E84~u zBxMMTE+}qrS^v-t6&G-rqBUsAyyX3UJS8~|SHH5tWxW0EcNIJj32^7d;%>+FK(zN1 z(#++#t=thw4)1?Ba$zV7=#)Neo;`5n^-*(=+A%{hZ$oA7iJd9g481$vh2`hiX`S5* zgEY~xdss`*RMj1jLeY2b{nRF!GV}c~NUDoR53_DVp5ue(Kop zour$Eop=bZgj`*scC`_EZEcU-$~Gg& ztdUZmA!nZ@^!M|#wrXY7-qg+1Y1S+$V;%jiTicT{?`Q<03+u%zg6qdwLxd|U5SYa( zvSeM}PXF4;->#&1nJSiAH=$RO!kn==t)-&ct*+9HK`+Jt+d&b&iS(&+4RE!9kK`^8 z$5G+*kQHt?Crf&q>>>?=M)?vf>Wl_$=5Z!{uLKtSp?f|XKPaxn)g$-2h#q7nL-j3w zpDAkzKC*95y?5$94Ts3G1j#e7$62wJ{*(`RmQpUCYP7~H^$M%j*TvKM`~2|6i*3fr zoG`d1cJmhLG*f9p`&Ae)80jk`C|v&i;bv4FKCa&sHxbk6#s-^X(_Bmn7K1gUab08<@_}xcFDBhpdo#I!<#8p*sfz_i2_v$0d1Fy$i^L(}C`4U2 zIc2UDACQ{LcJHeP)_EOIxMeqlSSQXJlyw_{M!TsA$e3m1d0=;g=|1@p46v2Vpb=S8 z!ER8ViM}tqE_dr_vkbzH8Z!Lt>x&}I>3{)T{?b&2z#zWwg5pl`7+7{+b^?$HJ@i&fOiQX$OX#ewp^mckPe@;|ulW5uEF0!1w_ms`fmCUbCa~ z?%|wHt>*Qm!1%X{XRWPhI6ToHzvj4C{}Q~^+n}(F4+UM*7rIo7`-uAe%q-%nOAR{u zY(LekfH%{K^&BULcOT!|J!@BhveTvG*Tv&D2;hZHelQ?4?1Rwk`=GLblD{3@HNtL| z>(r=MJY#M#9j@lp3mOPDhp5?EaDp-W{eCk*_uM|{JS6G`-zuM8%fbRq2rP?6P^@lU z9RoUSvaAm5-`<_94HO+vC_Q`k@8@e`X*~zibKD^S)ejB!2S6V`fEtwrg#QiDX8ljt z_kRbprDdcgWJLd8pw0H*18qjSU!u*-{Obj?G5>nO?Ee>tHq$RV|6h2)zgFfQVs|KCJqk#co~5M%`wbWL?CQ234i4?@#BL59uG6B6KW z;Upv|0L_!&;}`ikJ>=bZ-gw`9{WNvkPH8ZntbMF~TzXG8%wVdBXanoGYql~Afxrsh zLf+m<0w6a*FM+%QetrgceSYF&tEdQ)_ha1Ca>7>74{iZNhKhd%=AFU<65(1&=nVqP zL%{-bJv)Jdg9H5$BK{*p^7;md@8fgli?DZ%2tZPcwut&~2+R#Sl%LB^4P~#o`&!Nu zY;b_*M+1n>iVYBGe?Ongw;%AH2Hv$41|4)3hzJ{>299&xFB=fl4vYNH-iIy)TOl?) zxGDtx?8ZhW+~s~Bm}^Vw-XWlyAOb9acNo~<7L>uSRm;GKbqVy=!OVlL;+F@!ct9Hp zxCy%l;}Qyh3q37|1wMH|Fo)62}>up^5?WwK+iXx`G@cp;F|~A41^hGncrPtkzd6DV4GkQ6&;Ox=hoqEq@OW?2 z+uv8W8VULu=HUmeKCs{F%BMyD;tY~0fPagN;9SDj5m$=sr*2IU9zfs6$A>-+9bg~S z?{$?8z}Hsq^aAqj0QuG0=agV}2jv>F*3%3a5xgmo>vQ+j)2|C3AgF_kc=jhZ=0}7L z2nay46b48SrY^MK?mO|T54!FHig&Yza}n$|>WAM42;h4s*SBU857`7Nl>Os7^!p^j zUlt~M>FKHM$L4KE1_Y!Pt~Xaz4!su&@fZvo+%E_qA1<=@XSx6?|kx5v?Z051s&(C$<8)a0}OlLbx}=x4^^2kHK&YEO#_NOR=?;BH_I*fX8;mEh^9Q<~G zX>{Nc4|$3Te{h8MF%{=L59rB%^;`gf1=hFhn6_i?#@#WbAHUrW?(_!jm>?qe$JYx^ z(B$CpHo}cd>>(EFo=)(mtA=3`)aJu;m9L)=ptgf^742lN8ZVBnS9e#R(wczBcMuxj zzHc`y6uwt5)*pbgm2>(g5(NPmAlWDL8{b|Y0RGdK_!gfF{}4|O9U$l%I0D#@=Eomy z9=QJ-5YJ%mCq#e{;NQhS(SY?&A3PAi)(;?Fz2_$|j}ZPhFh4%P>#L%5GZ+hN4~9dNl~K*pz>1HMW8+4LTkqS!f4o;t zFTE^Cz#E!M*vyuH4!sFk$Hd1Do-G|Y97UBQs@m>5`}Y76yY9g7aK}$p&7>&l>G`>m zZe89cpCy7Z-^R*dol#?n+GcnYamy~XieF#?gLwQLHw%*{zbp@%Ea$Zo-&>m@Glb z5UGDB)apqWpxiO}!z%z@y zS#t+jv{pt1$@f&By`%|7Kb!#x4L^%24dt~RniH+`vbg9?kR=H1;wnt>Jn_X|DZ_e+ z?6&r-7_qG@JSpEm%eWf3z@X1aCXS&*S=c3yYibE4oAxZdGQis}wv(R7PNgU?d>h>} zO;9S}kp0!8p9ypWvS4-JsFz{=od4wMlz}`#N#2p3f;;sVDR*4X6JP&|6cu46a)FR< zHTE}bv#CR6;i5epSNzmnf{Anj!>Jq<;bu9lq`sefiri)`W z@meMpP0Sr%HV@FeQ$8cR%XpUXvErJ^Hkj9Qla;Kud#Yx_0Z@@;U8p`dU*%bxQ2!hY zmLOfLpcD$^7ZMSe`bi2rdYEo3LxV{bj}pDip;_PJszluAdz=5nTtfLcV395g2pIg_2hRQOR4viS^w{-p^j6X*-`sbJfLvsW* zw$tVSB=7rd56)Vbf-kIfdHwx$xj7$4J}Cz-Fc{`L;#L$frF@-g zZ}ZWEs^^vf(W`4(48uN@t|5jOciWk}t|ABm*B)K4(8FloU~U9fQ8Ca|B8=t*-S>h2hCYx>5_l_~Zi3)EuV^ z2tRZQ`LZY{$=d1gA95HZP<{fA5|U(?*A1&Nm6qT4X)$j3y_EAsrDhPsSAn?{66{Bn z!V8T3aDF~cd>c3yleDmr$46xu-1~b=fP19B28+MSmS`EoTg%LX zvSj(BA1o4`>jOqEhrP++U-BYDy?!^miKC8a9j#CQX~vBN`vc~O@!^CQ*$89Uwg>~n zU>?(d(41=Gs|)9AJySbChJ=l(ioD^BO>}7ZRQ6v6806Ly#BawJmMKu={||d_8B|xB zt!pE}EeQk-7Tnz}xVsZv0|a*u1a}GU?(XjH?(XhxXYpFoo!)1^=d1l^f7Se;YR(m^ zR;uPT?|aBI2J$p_pCaMewVq>QCeg7A$OD5k(bld;3ixu|1;mYn8?Q3r4YNWu`PRnH$Szx@sgRQw0nU91W|aXVn=vA ztMRchWv#1(SceL^;Op0$VvOAlXavk6kuB~B&yXXY#rfnIcZYnW~yz8wy z!z67xsaJd2uJ35wH<-8ieqdjY3xGhpteaKwTZ3)HuK92ToBYGq>4@u zq|U#oRn^31~QH8rE`J3)tmUG(s&yANmx$PkYz4YdB673KbnIQIloA zca2xs7)SOf^)D{iL4Oe?-jI(bocN}-*9^}Sy)z-HR=yz_AcR??A_Bz0PPjA4G2c-k zXb|OjJJ}&1(MgzsCSNtEVq&PUgQ zGDm-R`=}T4c!59kE0|s~V9eF|sM@vvC&tE~%1;KEXozPjTeG&~S<8ADE(5#isT3%? z%LrNmw2BbJ=TS;Nab_%pb+CGfIqhSDw>>AVAaP%vFPDPwq|7@4ij6+#*|BX8_?I>) zT#eEHjES`EPhj>IuI$Tu*E&r_f{V77)TgUuuKYp8X+e1PA_QwK6YBKxO&~7OdYL9LaiP>LRQpUO-;DaC71X!YX4c zkc#Mkf2%0gF&=k5 zgihkokA(0Lf-g%F4Jt0MMl+9V#zRErewD!;@VxVK_$O)-A6sw_+Ih&1i;)OWqF1&jjjn;tNE5WVt&FM z!mvvmCN1dniECCj+K;aBsn#w%Gaf0xf;}m$?tCmk-e(vPRlEpU8zs1YAPElW>hl~Q zO~(C9JI8kIe$(+uuH9G3Wwbc+X7Ry$aZ{zR8yQT7$Vs>kdg4nY9KEjE=R$lvbV+;G zqO02m#7Sc#+6zd6&!AX!-z62i49~UAG&F-1^h_-c{0r0y^W2%s}!rk0n)PA+>s3gxLrFo&~S=VWUC{)3mVAzFsi)?q*L_On zFMH}H9jXOB>C-WsB}r)D4N1<95J_3uXT*e=vNUrzw69-pl?_ulHqaqso;zuM$OqC9 z;T-!cp<|=w2^EpQJp+d`yZNTzm{O{t?8wzhR-82ZCLDD7Q$7^-XpL>LS*r%>JB~be z9F~*hBm4@*oO=B@brM!Csj_-aRkbj9UkUQj_)c!M=$hNej#0ly@;ss(rAX$f_JAcC zW*6e#TrrgCBvVX#A$g)88eV(ntGTfSNI%Z(Qyu?hO5XQLtH1~W7QLR#rRzISYvYmL z5jRe0g4eAXZOg0*asF>t$J-rE@gljl$D4ClXPr5}%wG==x4{#SJ)8Sk=KG0x){D=Y zNo-{jAD0Y{N%r6-?2}RARS{7Uf-e&wp*Hmp>4N)b3K zh3Go2jSeG3ROTcBBV4OY%u8DOX26|sNDm5m54^y|qPWU8s*K#HU?83;&L+C2?uU<2 zai0c(YukZtVzYo%SS#Ynf)k?QveRi7RL`@3ZRf$p`iY4^cSEbSNYT3`_Ew*9{Jti) z)njvkznvM2rM(0td`YjyZks@M;`l0G^pUet9Jx>?@bHd1Yq(S@I`O?p#v?eqWGhCr zk;1qF`OjPfp2iMEPiCFbe0-zxJmlEVwr`?(8+#8sMh2%0Bw4j6_c`UnNKY{i&3@#R zUVf96cZU%lP*znEWu{A0d^h%m${kn{&L1o*Wgs+H3(=oa!0fgHyFwxvd={=UV*{3u zr(K6^KGC}KAg5nNSGT_^giJjUh!HOAGcJ0IcV(eOkOZA`Y@}c*xuNX&59x9%E@OJQ zic_z8`HW^ufh#)NVSij+5b$k*h^zx+8EW!MGJ^}LIAO_X{I8Y)<^Cgd5y*pq8)mHQ zBPN*}&n+p4%<9HsC6LT=f z`KgftluG4kTT#?}^vs$PKZpP(fFI17E}=3u4s4#(UYbLEWn(;^De6=!p_;}R zar!gHZLV+#s~5>=#!ig1lv8K!rl9pB=#`{`AhBrQW|GmPgAqjBqfXWJ4h&HH6(4g3 z#FN%@&m;5Aj}O=I4$VEZRworrnw|2j14bpwb|lqj%X`Rc zb>4gR9jg&HoX~yc@jjx=Y&_wB<7FCab)Ab(Cyn3qV3jUnDRFCNxQA(1p3dB3vB2wU z)y~cT7}(8J6EE@ATYDlM(m^O~Sdc9pH^7oetQ`qfyQ!_!pZAi_-im%{0C)`0bQU%> zRUCr!ZP*nr)bLQl7pHMW`WBk)ilJJzyrD95f)H>XQ-lwKl8(+|OmZ17jt2fl#G6;7 z4z-&$Whsnvwihrk;fLL+^9RYOQ=~%Bv~IQ>QggpJm2m>&DOo<@L{372Z8P0P;{!Cv zkCn}{_OQriCtnzM&+NGp*!A<}f`aw(Z27|t_3L9IcV^xVknEIqK-cTpf#cYOLKyEL zsma&wM8s0$!_@Qi+IV>CbscUdkwcqhn2(ED2Q0f9Cz*(>VHXthTD_0JtMMy9?{KnE z801}vBITM%tnf^$K$$JW%P5rE^Rt<#JPN@1cui+VVRkF`b3pEGbRW??M>w-I1DL9% zy5m;EKvXTi0Pp);Y$UU_!j_vS{L=??{UxfdLdt{34%NW`>)a}}F<-+KxOU+gqd-Q6 z$!-Gc@F?EY^g!QIy&}E9C0WDgY-O%MzO~hbxPtWlvFb^b@87DXSc_Y!wTD}1nL_qP zinOsB%_d0!19LI+C|ATTh5`t7NC)++3aFBf2a{}KhHDbvWp3@;BWgFEJF~PwrW2@# ziS(=uIrl@D+W6N!A$8!U`(akvJ-bE(G+YUN@!gv1b%fbF9N#5Ej0<3GhCUy5!H(W1 zuo$!1{gmzzs+1uHG52xiL#fS9{%BV&6zw(I(LV8p)-W~UC;YniYy7|vw-O{*870Tm zOm~g+7m9k!@X((iY>BB%5~GDFLJHx$^7h{cR-U zw}ab1w5LT(WFLRL@Rn`0-TpW3cfsmw~ZUsxp|n zc|$HV-oIv$Xe*$N79*a14}oqMvnmescIx3Vw>`0A)U28Hf+LZmU=jh(NtGTbbTv+f zqEp^4Ia~cYT29x8Ie$K;4#?Mmc3a(lV=$xKrC-)on9W-{z4L50zi2t6Pw=ymXnPp= z-I?9zUBVC$b9(%7BWh7XpvW8A9M0nXVl=AW^EL336N^fLP08_W{QRM9@H7ypg5znh zQ?|43DV;ZpSP2Qp8J(hE4MxhtCyGa7K{oDOtg?ZEY4VyTp8A06ZalY4z@2ct{Zw!b zR=PQ5UF42Vfo$0J&7W0$hVA=mi+KjU+LK!CX+b&$cJq;}?1|@*vciHOVrwdRVUi>m z;9#?6i4ckydWNzg|63KC+KA>HAd@9QD_DUEg~g5W$v3O5}p z7Ab|V-{^dt-jNk~YJ_2!7|tap3}r0);im^VL1-t>`pprgBC_WLLi13{XEa;(a6nWbX>}*ppM*ZUS&$+9VOgE=MpEg zKqVJr0j@4hu?R9WQ1a)zpZa{16J%$k_c(Yt%AwM%BR50E9dWF7_w(yCEs3TX%Jy-#Jo+P2z1;+H8?}1mtXNeVlex*^~>K>t& z?bE2O;y0675c5+NwsVyJq~eG-8E8@~gF%qgMVaMWyw~jEYl{>-5BXJXcnh8cnnLTUL zN}+ynB%ym#aMZ*}QeR6eQ=OH!40CPYX_CH|r~jP1wzzACFFM=jT%S%QT{Dx1AbvY@ z`NXPHmgGR~Q1nyx@XC5?Dak|`ecTxdGq{lcg!%H@&wZPg27Abg7Q9P~bG!y+;d=zn z<%*5%%?KtlC6j)GhynJ7z?K1DY!78Jh@Kt-URj8Gq|;Aob-_<>%4f-yV#l0g;dooI zi6_4r91B!2ha}g*it*_hrxPHON@i$vyW-$88Mw-D56KoySOn-PP%8}NUM`eIy*FJI zug`UVG|@kvnxB%Z%_Sp0yMx0UUoFy3A3%5%ZhDB4ZPcMZJ@X2k!C-$@JrgdC$^CX_ z_z;l|hpGNx@pH4UDZaOV`RKavQYcmmjhqB(`SYUZw=!DGUMc>$9#3v^RtKDuY;i@# zrp{@QE`(<=W(LmVImSsF%29Y5@GI%06m3=)e^|>v7sB_9GbHc3YKPiCT?spPOT z*3}UkDa0muebR9;*7(-fPnc3e3AUPd4@5~J^=OEa+WB=LqjeokqpA0T^LCdvp^pKJ z-~agWVJ4dvfq+CBiRhCt5%~yQH{kuF?9D9*6@(U<^=;cv65sTosz=X;cXbLw>oC-B z{fG4x4dz@jUl~NFzZlaBh>Ha#JX|^D zRqADDh$zwG}WK3POMk?l50>#VlV z$r;y8d6qxmZX(26i}~q`bjTXFZCW>rX=st;j&m#w5B{a)0Coj1>onlxr|A}%xnk<68m2cPE)`N@bV=F$ zHd5>sJ+^tCj|7_@3VS8WCza)%3zg7j5nXcqdtl<{i(Ox(AyJneq|tRWw*7l+Qb(aN zEMs26gLU!l9KX*E2mBTC=z@JsJz&V@KZDck7NA3c6i% zN)w`SDb^^{qY`de2x%EB74yQyEAdE>y2kngu&j?r9)mxizBY*dAV%NCzN zN&U=k!s#YfTOY<-%MCuw_hSx7-M{O|$!{C%{(wTvK8%b8vbq?N?SuBt&C)7dTO=hG zCZlb*(+29mNV`TYtE)p|MbQ_yV_H+jT^l79Bw@BiL&+bFi{DIY?RN##$-#z77HRuj zpS6xV_`IuWJh9MuC#j6k0?Xe-!Dl1kP@`GJj||`0o8VBDsF`cpflXfxScC5@GDNQJq9O3`y-~IG4o*Dxx?sU_fUDNU$x)I zT%k>Nrhd*VX+7OELZV|k(~=kzSI-6`s?H~oWzyrUtK2~IbuvvU8jKmmX*lu+X{Pum zs|W>wd6+%!{R( zw~x1CXGUTfA3VBKaM4^{eKcPh@tvNtLAZObg{)A5IpJV?Y>%qaGuqcMvW5?xD$l>aHr@mT^9r zecHVaEcp3|crA4r{+M$T1}M@GhpF1{ufbQDNUM+q}}n0 zp8^3n;($vJua53s9#ob~2+&o&K1Fjj=34*fddQj?Sq!0rZV`L62oZ~jnUrIa^C|ae zNkYG=VZMlr1aH*jrMQf=X83x!lv!r5_I%imO5L5xQi<{%X@g(nJazY{Mf`99BD7)gpP&LR3LuVxHMYt~L(4}er8_|!$5i)z z#BpskQDui}H5PiM`0?I9&k4CxW8}ZolXl{utvpqpDvgPa#TN%~GP+J*)Y11nAsP4O==ZoM^gF*B(} zOHd`ij2E5n1|xB?duT4%W!SKWj}p~ddRsUxTTx&P;OqP7h>3M_QXR!cohn!|vWLaK$wRn|gg zrITP^;kf*d>EQAjLL7XfVi=4Hw(i5e$z`N!)pHPhnYgGM5BDOJ!&^28rll+`L3#N= zi$bgN50Cg+shx5T%PT#_F$$L;cy;ZR!MLaWw-2x|9d-hW1+*MSbCZqm$BPbYHy6uP zNG6^8yn#Oi(6zUw&C%aemP)`gFXC8{teR?^dz|Fia-mM?c1aA<6$FFd^kp@o8x?xz zhZ!UZ?QFXR+J4Q(Bi&wx!0a#cA^M8>$?okp@{~nV*n{r;qhU;_=wR#hRq>CPsP)14 z2PfsZuKY2Y0|T^go7MWD{8=YOmEx_N*h0RMQDgXjl06~)(0GWB3jXBGPUnhBe36wL zIY{0_ns95=G1rZ>ATElg2J&n?nS+z%N7X7kRx%n{-7QY*rzTTo7P}MoI8~j4J3Qlk zgSSlewa^u4kTnS;(RVSala+U>5YsrJ7H(o&_}MW@jgfiis7*fpA_Ht%s-IAp zo59{v9n&adT9m1Gii`rszLt^cwY~G4tlitSSgCbejGJm6S3g^G*vgkD7bw1`O>%Iu&%Zn0oq03oVem<2A(8gyHiCsMHrQ)<{UnVKrI0840AETlJ6huh`I5l8p}5k1Wc<3Vp3&K zz2E&ncfb}K1GSQ&$mdc?bazqzT*yJ=-oGD=&){E1W@5qCoXtYP5gMQ3yqQXJ3EkM6 zXvMY!?ZsaUJKhtyM-6x5CUtjt6{6-NH=1I98skk=@N!3SeFqB|QMYksvQ+V*D zmOb86$aNHnKS)^fy6%F!Y;cy1`+sr@dng8%%?c893w~EGF@)zsNYNn+4KhF7C7nJB zkL6({!VHX2(%0z7ds2@kl6J=&&&P24T56s#J2p zx)@NOUrJhS2sSxz8V+APyl=$Qj?;gO)-}>Q2}cH5{@Jh6-I-Wd)wbOn$Ze}=SPMr;@_7F7Q)<2`Z^ zD;O&WqUj){k=$7_yZBb;pWmRgVqfB)6O{1zYv#0by`_AQ+6I+K=9%w~3f-Xl>9Y<{ zTp{S-kh=(&HRw<{$mpuRcg6`UlJ9=;YN%Kp9+3^Eg1zKr#$&M4%cKm;sE zgcFm=KDj&aEpPrDUG+{^qDQ}%evd<}kwW={3Q^WW3SS1?sV-O>^22U9C2SXPL|@A6 za5gCO`xY8@Tz(hs6jfN`K>EtK99&L?KtK2I#Gt`~Z>UdkJ4I57QCHrheZ;<(Y>$5L zCjjc~>GMO18J1f(IUUhRiTV@bc{C1DzAp;Z@g;L+ePrkZ z4j2V1eWTHJ)(*MV*0M%7`Xg72G{k=N$*j&;^$DYYQu>K#^f~dJAmMw%17y7K&n3L? ze1$kY%p?3Xdz*npSHrw6y>5NU*OnC|KYp_P9^~!ES&0y48HyTn9J0c`3Mo$S7^C?d z-DFCPu%18dIaC1_$_LUbEaw4Zt*u!~ubq5j9_a1;okxHs!5ml{4GZB-jAsUxA10zy z!z5`CeKIuh6Z&p|s6DNp=gfz}kAAS6eQ}+htEe%8Mn)a>Ff!9fS?bPq-X`x&9xJ>} z(=}$}r?TrS22G46$~#FY3!2sG;LYlWnWTOCO158i$hT!XU23ptW)4O;LLS4 zZxex$KBC<{m_Tv5KHRmQn^o5`KESkun24{IuR(*;SIM|g6BDn3j8uSNu4@it|FYzo zDQs((!pTy`P_f$+D&05ww5fjAd>ebqg3e0wX}^7YW&!)&TzM_70P%V+OD;Jds%o^~ zX#*=9(}oJqq6{WV1ipEjhYWhL@_xcp>nN%`Vbu&t;m7pW?$IYR?Y%pcP!{rPBOPzW z@i_X;#Q5Vk<5ecr$4hO7itOQlz$!e*=37`LhO;^i_Eu3-I&U82^;Z#AqGhGiI(kWm zRmbtkcx8PsE9OagK^cqw!aRN`EQGjaa=6jf(%k4Juus&Cv)9^X1{q%ue1zi+2Pv~q79C|pfEU| zj4!5M6m+?d0txhWVsxewZC%&>@u)KOiO+LKY*M#KQ4v(`ghal)=T7&v<+ddw<&|oD zKrL-5X{aAv#kTDx#!Lfy)v3q5NXgi6K zZ3D+|Zi&x)dXA}qFgxWS=i3jgouFJr=sU`*ZilPf){amQnrt`91LP@K{#zeR5sUsX%gpj`8q zZaOQ!OPW+@kcoG)K4XkOx!01L3Myt3neDY)1b3Koh_^o-FV#BPtStm7U)hwkOVTY+ zvCn2rV{Xhh;ZCJzTObvQMbwHwksTZxKgnFh&kCpjhBSB3bw>;Ttj=KNMpSi`X` zQ99=KK9^*PdpO`eRbwwfcfvnBGJA8`3u1|IGk$=pf>O)TQMc^6JeASXQ~BMp!J5Tl zLOrxX|3bXH+Yw{$IZZ-S6WtPt&T1g$Y&lz}MRm51r2h_Gj`){V%eBWF8`uH6)!Ohl zQX;$dra=mBE(mjnAOhjO3~yfG97{n^OUC+K(X$(mdQG;fdO3#Bu^}qoKKAVRZyEF} z-SL>lsLls5-0-)gw=Twa2T318pB`dJ4aT~%D2b-`&7n9(V=fYkx%3_99lX|WPz1>9X|PE#+sc`01AA9_jCIyyzPBD>6-w5m=B-RuTM~3WTYVkeD{NK7!So z)LqUW;yXEcV(#~&i7F|~TgpYYf3r$wI(4{PuV_MMwuB!(Q9X4(*KM{GOFad%T=Vox zG$VRin6o^rS{+N94C$j&A*`;P0c^W8)@|(b%y?ckKtR;8d@6|Cuiu`KvBs{ahv%3& zi%xW}8~Ijh!!00fZk3^7W@=huNXDh*FjQ8WWdUC&KP{HxHMuMSxr2>vpGiANi~5i{ zG$O6nAo&qhR=0m^sGRnB{2b@WW~d?W9vA$qBo#-dWa+~)&?t$caXKf`CIxM55~s|?*ql4mr1Lm3*u89MHCTv~MO)_WZs zy|kv)<~mlu9IX$};Ka49^G@DZG96a+NojT9yPFlpjhijNG}^0s!9G{j7vw$X-u z{(8*x;3=AqG=*JIDGE`J&{eh=_3>(L?FT%Y{$^oe8#ESrK^rdd zjj83dD&E-2FVh8AOH~#*W@$rfl$Na_2j94+5%%N6wLjI`ZW1i_UFuaC7sYztkYrbN zq>byt5hFyJx^W~mb`_&dR)4cMB|D7!s7UC7*79tau zKOuWd2le9E7;7~n=gVJ zVO!B2A#x71(^d%N15epGuEmUreBPuwF3qA)Xv*7+!)A>T4UcFOgp||s8;35efyL_R zK|cAzA+a{WA@#x9M(fPjjOFU=l_N^y{{B(=M+6;G*`V@mqN}mW&8~|BPBnx5tRrl4 zhsB>hqIv>T)A%M!`(3gn2=#7s&4im4*McX#M>5!Vb+P85%X?3n!Wu(#Uv#Vaw~!y{ z7i&%9i3qV+wyQ#!OCmftEh>TnnL=#i;n&CK87#PX z*WJ@ThkIr;!bPRfqO!t)+X@QtYLg}Lk`3q1DE?AtG1*6^=n?-#*9^j_zU>=m`3mSL z+6tvEV)FnK;E2?$wgu$2wl!a9WQcwxr37Nd5@sdB7%>_8H4qLY$DB?Zlzd~k&;ddI z&0`a$uiL92{mkg1y*ir0HpDBqT5#-m37~=%pb)`O^_=ZPrWDp9xN4HL@49a^6Yfqy z)(1jl1JB)V@Um+P-H8$)-mQ_pVV{W*`%YkyD#?tXI{ZBmA{H=t0f+AE2WvQJAM*Ek zWGgI%HXpZx41#&>LfZq(m-ya1dpLgxmQ0fA?)AfS@Aa8igswB$i4HHK0hNGkw-e&{ zz>Iqd+X}TCNPoe{`^KE`oy8~fw1fv9Ub#@Ji$IpsRNUSicvqeWSeN%>yGJq>V}9py zZQBCE$rvB*7II>TgZ!OM2 zjGb8}S?`=@7;s9mo;i$_4o65hCtWOT3sX5KRRC_xZ3|}uK00?8s~wJ@bWV~vI{yis zoGo|9o>{)1SgX-=pSf<*ChF*N)h9YVi!#bleU#dcsK~T+_bGV}QK2@(sjvGPJ}@a@ zh3fM_p3<*xgV)nk|M4;a&}gG=?O?8lL-lf#2AYaT%Sunc3=q#!Ny~__CWgey9 zUI~DkFHl<=np>M$;?TbY-7+t*Sz1}Yu!}j22P}lma6%PH&j9S1y zl{1q!HGGLLahP8S{wJgX(dqv$knZ^p(*HsFe;jE?(>(28k$%1O_3t6gBPzoq@G<}z zfHZ*57tUWH&G2Fv0Gz%;8lda{9_g1;y8n#y3&H<{^y{zpdwL4+(xCtQDjgwimQMZF z`}hI+7+1zIB__mK9@4LayH9IA&rhL|@Cu(F8XPT@@!6FFOK4Iao;$=~39T74qPO_E zF**P4jqAg}EJTHk8U9WDa(7p}7$3zwwDmP~%IBcjE3d|Qm7`Rh@j;0L>sb!vQ;B}# zVof;?+)brC*JYVr@iRuClX4eQf{7s8^L{A^GJC>l5z7L)W*D2# zhUgUZ+!k@`$4jt=pXY&@{9z6$lWw)CYt~p9+FF^~hS=;w21VKfopyx}tmsrhYSWvx ziOTSpC{`Q3YhN~E*2p$IWAKK3)eaLbz|K6@SkA(k`PAQ;g<7qlI*1<}&Ak=u@le7s z^F!S5IO0j}UBPDPU2*eczv-?IZ+&h%gEmel<}+iNvcy^?Z?kCN;re8a9{kA9XK_HH zt(~BV-?5`Sup?g2X{9}Fz<*$5u|yoW)jn-*hTV*RwCEzNYZkbOU7cV`VU8;Tcl~Ix z2cEw$O!0Ih**^Yd^%3-q*himVpKY4g9`Elx+_L=gA|hgdhnxT3=@rB8&*!U$`z25M z54mFaORnhtP_|cc^{=zZ0cXj7kt;?P#=rk;%e^?zw~c=~P;7j6Xxv$-Fy?PxB8@5) zg~XWN3rj)zJl$VnAQmWaycJJc9%wj)vAW*3VH=gNu137pRYdX{=DeE+O9KBjpJ#WpWu;;KGE(?MH;n^+-_IH3nb-=Fcf{z8s-IpZ!lr2q8*y)v_vH8wdr~1~27Dy=C8z?VzM8Una7KEDDQB3UywoSW4$2v?H1QQB1 z*8pGhtMzCAbwZb_fahu;2sJ`GS_TH9x7FUqP@h#;BVBgbXknl|#)SIIQ%8gI)4G1Q z`lmfuMVJhWp3v}gvS_SiysJoL@Y8{A*p=BmP%-wrr&-*4*ZIonH>mbJA925DPlytK70Qj48;ROV`cW^E3qR~W zTx<(6y|CZPVf^l4jP@o|{zP=xLxUCGbr=68b9^Ows+B4cqB#)OHJ1N`43VjMr$3Df z>iOG2>iifnmCNxJ6a|?IqS9L%W3&5%iNsKTE)~!9tHC60me80qQv&gpd`I@O3>c<;d9M+ai^WM&2aJMg;j?gF5y*PdY4_Y z`RPN5`scKP#BWsD!U`Uq)z5wiwDE?U1htHpi9KZ$wdA5jWES|2c%A%ha&UG za|jp|EE=VH(gmO96_$tauSxFPd&DuLhfk$g)md6_)Dbm3LEq&0&45AyWk4otTLQrV z#eEM1{R|i8^ck2~mD~$L20|#KA1sv+^t-hoWC}X8$p_Q~G9bE)?g_799CC0r0hCz$ zk+AP!jshUw0w|4;?S=z-e5gajKj?-vi5SAItKfhA$7v)nyp(bh23dOPggAaFo2GO`j*oW(kQOB`(~EtIGHR$bGS z+u4-(YH7< z{4V@txC^=NFz{^b+B9(_FO9(+OuG82YEWVkO8Fw4ftgaRp%H1+Ep5Z&@K;D_|9u|l z{}%d5it)$_ivLFG%c78ff%FgW_ZrfF($be`@efMrepk-dq2IqwJYjx4@a2CmrNcz` zqAnlzY};C0iha`8AFKyHb~R}R$~?_HsoEVPB8DVbK@`lB?xPQw2WKf_eq$wNn=qNw z=q%yL;O8mJqx9Lw;OOsC0}roG-fm@#zZ&81Cx~yVZ9gAz3vcuJdN-z6RXmSi`^+E9 zHmfd?o$dwQl|Jb&f3*T#H=Ar1q&J=n-XOiiB?)NzMNyZZmA`VHi>z9%#AZ~nY|`#e zQ{t~GY)TY9lD+Z?i)W=wUQe}du>8*5K-dBa0V#)A3h^FD=pAS01`sk3Jun)?cl1x! z-$A5ml%NqZ;6sI?VR*#Bfp*8dpxG!mpVZjXiJOvhqX?dxkMu9835RzK%Z4wsLzYuR@I#9$KN>B?QYGcH4;~i z-09)bWGt;W$JVVnn#S62l5XvTX1=7Pwh~B-*%X~iQ!b{3%9Z0Zv@CesEJz(R4!#pz zjyB)D->N|d{K~;|S@tkro)$k?o9OP~7DvM&=H#a%6c`-IWjHk8gq)SRBFW?`%gODe#7dkK zM~wl6hlUDxa|N{PuJVa!H$Xw(G+U!TjIrKip07lQwNjNsy6UZMp|~ht5UeH#QCQET zZDt-XvZl)O8-u{4nI4+NC)OdB?Fbs1tJc{&k)%COEO}i2N-53jYX0BTQWZWiX*reO zD1DiJ^e>eDlAmFCnHuz$;iUom$)8gCN8I;HN`FWEm6X0#`u_Oqv(fm=V5nTIRR2 zQ~siAG!HvG6;<_7a#-@9(kvhmbH=4^uu7bPo%yVaL?U`DxFA`$%T-Q1B?XXit#%{g zS5xfoU6o1n&WklSU(R3MVCKT4^C_i5P5;SN#ieL+-qC@#y#O4aB{q*vmyo_I4-p^S z7c4J(rATuCWEd7&P~g9MCor658|}Waxb0AKS;bNX5XvmGqZ9Uv?*~|h9N~M@sAD~Ul<<^TQD{s%gbNm{EL*r{w1XV>-(paD!)i+U%PqkUs76yT3mlq zef%P&e1AzP7(hx5U!;`#7b%TJOw##7O7;JcQo0u@rF)T5iQlDk?H^J~@=8h_0aD7I zgtuh>iO>uq@Q{iog_^G(joGw#p9|0Sgxqi%=u9uL1l3g`#=N8I=K zAe9o}R^on%O2vf%{QV20jK5@Dm;h;+e?UqNsEhomq`yM?OGD7>KBzw+WdcOAzyG}C zb^h<2KL4gJBJZiY&AV3ex-J6$c)fp$XFq!dgw7R`Y;e%J@My0lDYs}ci0=%5G@;H) zBUbpz$_n=A=&XnpTa1kzLpI(qfrA4OmF7?B1ENw=jmp6j&EEW~xnyIyvL+(K^U;bV z50{z8`df}%_{Nop!`fK{@fW|#)V^fd6t7>^Wok4)ajSPHJ61J$mtZ@hC@lQ+-ra?Mmwez+GkKlPB98LvQXb9*ww z03%%CBWen(?jR0B5jM?q5Ub{YmiFEQQf$3dq zGmb{)dPMes1@xMb=Gp31q=zZSU1o;yfIDK_38suBn1m1quQ?AZ9vsIg0SI%1FY`NQ zX>Qk4T+&_?$F78%kE(DpCxniWvWQRgss1$+g3n7oaNQl0*xria;f2 zi`}v7y{d|^Il5ftSuM{)jB-@HR7IvMw(hX7>+xQyB0b&BaDnQ5D^#cFIa0p@{n~r} zJ)U_b#U&N_06fe5o1zHgFG;5Vx+wCiGyYw%{~@|8uPwp&$>lflXxD||aN~ZwJDy$_H2)`kR{l$$Cx6xF2ih#gOJ*lWZ7LVV!oilK za``5s_|?{MMUzUdX?o0j=^M6<7WwlH5gA>U9NY3kBcIN(|e_c zCuX><5+ggc(5#oP1xeoL)e8i7I}05BisD&-Baa@ zK6fofo?cn}rqAMk>2p*3|F}Lc{(seHM7NEf)eI+|=QunGUf&^{!l6p=DKDV5-S^Q- z01XS>7FfFQg&sxRtD*cnHel@8mBH%`rwbN4@X+?}hT?r!G(wBVPJ3myn87UYsc+5i zMYyZs9%aTDwpyUHZs2pXL5MPvaG7xv!@QGr-UBBH^Cdtg zwS!EjNs^pHJkg-pc}C|nyWuT^BV(~qSn9VXa9eqeme-JScr z2}!ELW(ret1xbwR(~R}cO5?e@W@4=`JJ6oGHnMQhVfRJwSNJ9Nj~3_yT9Ze0IO4Mx zlM+eZPwl%-kXgenCU;pb2G_}6vwpwXZQnobcJk$;u@&{VyP$fq^~3eAG1fZVad}0I z+3Q)fk6A8E+ObVqczLnvf1n|7t>ll|fS>*Fmc3toq(7C97o$qh)Bp2Nv*y z9vPXa?*lpf*qaDpZvoX5A0C9tnj>wSAn5ShoSeJ*U8*^UniksNE}1h_B^gX;dm$yz zVMvsgcZV(RI&DS6dIr_VteK%jM6td)&eTH>_U;x(-Dq8%ME|kduk1FNqszsM-M${- zsQlAzqyJ&IySm+A1C#n!uv>w$fBcFw%?nk3cJBQ>eO3?_7nAx8=U;PNjKAc#{t0KA z*NN!ggXP!q{I5MoEU&-Z|6ZOu|HJctc>aH}+kcDa#l~#kUwNi|jm+QUSxlT?Mf9Zw zN#@sd7}GE5u$L2bf5|fqEx@7wsn5UD`CXB6HBM`|B-IiamaBZ$j*1rTw$(mLF6$iVxT$fte&EV>xki;-YjXIC-L-nb zLckTcIA0qwT@Vt%)QW|hdl959ILRx;?wC3h2R;GG zX^bv~S5Te>e2E^*U_z~!ZWfo--jrliSd_i+Se;1eJ))8tEQhZIM3qZoO0tEgh!pK< zM!Xea)*_>_1cQbznr2QP9;{MDp}nSBNRzctBC-LsCG|=0G)!qiy1>KmEfq6FopG=F z_cj%aKvos2z{WV1pSme=g*>+~!6eI8Vz(5>U`&l$_UI`X z_}-P_z%;Qn(7L1kI(fV*XuP-V>2H|Y=|uVr&K(C#Z=QrudrA&JtPUugUBaGF0O_nQM+P!#6TYVc&$?MRj{X z5Ex

7c^1;?+IA$<47ET%?sn^+qE&Xp7|>Mjn~%tG0}i`~ z``7TsOv}K~{2;&^V~c-r*nw-Xh>%B)lWd4>f6om#KRkGBfWz*6_`e679sVj}Zg*_2 z>AqJ%-+2=Er73?;;tcQdheJ2WvfJHaw;LJ6N97L8i#a$C z(E`Xt+7FiIo9AfB+ZesTGp0W)Mb7T#?KMj26+7Vc&8#-7dz$9+=A=hgbZ(yc-lyU< zbq=N#c}y3B9leuto^?6K_g$M~+Akb6-5S3y56joOLQN=jZCL_pD@w48fkug8CRU(P zQzkW*J3|N|Xdcm!+X9){Z7)%&0tq~VAtTG+wzcJ{=lZ4PcJ7TI5H8Np_sGk>bim`B z4tmL&?160<2l!e>uTE$np`%GCu`gm&phN2b)GRsCj!)H@0MH|Cd!2yJ?0A*!eCDZiU<+QBK4s!^V%N}E>1S^^tX=p- z`q~$Zd~^*w^kDg?w+hz>Xu>xFcoUi@tzTg*#LuQ(_HNBTwru&wqZi?!bEa$eL*e3- z$e4;-(NszOGd?dUjaGW}MH20icCAgxcB5^zH`nvFxk^^sxa-fR*j2mvZZ8}rR4u6p zFcW?&G8Hf2kN%=RW&kT1Y=pDpMb5vjFvVOjlQEWUu3lCBQEEe>RLTJ(m8%_gC(EaI zzf?PSEO)VEz3`k~dj;msKmc0NBp{gJaCfGw?Vamvk&MrwD!9;M?2}=i^+@XNp^_ui znn26QjyRhGDlVqf6{l#DWO8%$>ckGKhoQkTE*URg#0PA8x1p-!R?Ya)_S2KR{vwX= z&&NE9Yw?Wo@^FbBRz6M^xbcnD;G=tD=3LfjaBcy!`1Sm>J-swHpIKZtKdr>*>*!>v zJ1_;~zsq~mgP~65&DwdfH4IgJC-dU#0{qZ1oo7Sd_h=2WVojer|EzC`vzGA7`7@(z zH5^5wr^?a=M{lY63FVF}l?1s)GI_Rn4DaR!9GKmR_%+1QvQXF5WLY@I7Tg{P5|>Aj z2$=pcaadpews8LPRs1}a2cc`6A=V(`^yhZ!{~d6q{pbO5z5B|^v9AK9_qi#2OtZfX z(F8X-)u?(Xi!x~U3~kcmgv?_C3;Jx&*} zw-V>QD&H4#r_g_u4ZYG+;X`Tj01aQfyu6`uuBx@ld6iA&clp}p>cLrep9_cA9LYNr zp;D3_>P#Q+wvzY~BT$sFvsnIC5EIk$kdf zXm%*s^3HFa>GC-%+p^5JT&LPE&fFFvuBIKbjmI1%8Zx~aC8zdon>1?VZo(5ElnZM0 zA{mqc+R)PbL0g;Q+D>Te2E!AqN zWWC~xd}2$4A5&8WP`gGKg;?^szk4sUBuq*4g6OeFtymtpkZB8znAf|$q*^SJ=DP|2 zX5~n>v)aXXz_ua0R0d{F?q!P>0WZS0+s?|PpYFDg_*M4=cMnq+=SYt1(GKOGxRN}O zKvnV7_RyU*qSj^d`Ufjz3}dJ!dn0*ORmJs9TD!NnM6WzQn=Mf&HKK^7 zOMggudzEUItWPyplv)}aaZhbU4*9lndORH0fZOYi+nJUgK+LTgJvSZ`c3Py{dRhH7 z$(i4?Bh>d*&PtnQ&deXJHKIMb_o8#smoo7%+RnY;ZO6@$;#PHon!wi;35>@QxeBGX z0@|}GwvG)by1S>xlc3z^PW()A``$BW6leF9=|u->|K8V@%{wGWUseBVnY@d_ouO49 z2ij#?PP}y&QJHc}pASoJJ=iIqxjNR-xw<>byJpyI@Wu|gTipds*Y7A4Z~l6yN$)g?x@z#V`i@bt zH`>8p#jX3S0=~bIVDfrJ3?KLxz+pcm_%*;myakOj4v56%@?^Jg*zg9=I&I{*(y;(9 z93D^h+KYk;(*G2Kp6wAeke*LWCrF-(~ z5%aG#bj=>(LWF_UTDPo+yG}=~Nwmp)Fsn6YNHPuXFQ=C&EoH^MTbs>n+drm~>cgN! z(H}aC9=o*Ob^Ze}JdddrE%stABiGf2BtJTzklfvs@_fwcw7}pCzd8_6D|>zZW6$gS z*(cJuiPH`B*a#Q(qUy)_noksumAa_7UUDyS&^?gN+ik-9TxpW0s^9oVeO6p$Z}=z7 z<(n7m`Gk~Uo~zY{)M4=~caJ?nD+P7e|0d(2Ur63VeG_HuRB_f*2)*m;h+pI&0XCnE zI56wjVN>Y!C=@GtG2{KRiYt?4A&QaciY1X==QWj2Yswsm3RK!;w{0R$gSuaQnfAn) z6C)jp=8i$vUn(;NRc#}?W!~`}T`D}L5h9>uDw4N;>%{WR(^vT`GSzRNS4U%c?}w(S zmv6X`I4M1_p>3_eBbo^ORe<8OEYlz?)#lRuMYMDUZT)?#gy7*auZ+|VfqA25oWs)P zjzYVJLJMtWmJ5t&Hd#m?mAsyjYSz>v^-jt_uS^eW?qcZ1hT|uiR)V(= z7d3bXeZpD2{Z>0+c|(fU=BN`im2{xj(V;)kL1P@Z-1kP(8%FKc;)dF4My=C0&aS9I zezmfEkv301|@$Q6*UdFV=v%(UoeSFtYP{HAs)>XE?WBw!s50ODsSkplg zUHR_w$7i<8^`E~nZ+v*lh%cCDxHgxMduD^H(?3`1Uz^#;WJQRn&F%hVwo!wbrP&!pGb5Ejl?xrgG(T$-#BID1o`+t6FsXtXU-b*Tx zIw%%1@UgL@VSe-2mpcP@U1G%6%-p@#xBsGinu?g`e9q_FOGnp@+05PO9DC5CK1y7VM|R7P@K*IS-f zo4;*Yl->oSqE{(X?`LRfMa3l=wTi2SqF20%#YUx>Mh+Nl*|$;wwOCI#vHoUjNI4X) z8O9&pW_)JrH<#GEuUBLpQzmq3#Ma&3XgOiwUwK;g`nBXywUH}#UyCZ#?=v`=`F6-S zR<_!GsP(^g({!2-3B(TxLjkDSMl=`H0v%#W)z#-rJ=FZ8{ zUkWN~$(ybx``s_>5vp!Y7W46lZh;$i%hmZxU+lQHGHThrghP^xV22KKZ{-hOdHjEj zG8(%el~Y&T+s%xW+HyQ!%ElI!jl`uB!<5;?e?0N2NX<5ti4h!@6k!Eb_r7s_L>3l(Fq z3&>@~$}{%YT^$OyXGhZ(2#bRV5Csbp2oPBj z!ft|~O@Pn9?Z|&)G4Zr@ceg(Ra;Vw5df5YkO|;FGbWXUsQf-ePXNhFuSb+4$*Mb^OFWatg*ySgUMt97D=Ok>$zaN%gIL~;6a~p&?qOgg&-n@70}Dh z2WVv0K;xw0AnrD>SZ*CGBn;#z3sVRnQwnE&Foi^Bopi9b0aLKx^}U=l2%KNC?(VSj zK`=yN9inp3AQFu1BM8P3ameR@aRe+<2S8*POg)bJU>u1{S1_KdFM;NX1Vq098i{pv zm$N>QZIDYA0?ge87?NCN30M+$SrWvh7b2d>#RtXpo$v{9P4XB=r zk3wPvm2f;S7|?j6p0N;#mB)sI4~Hd@kbF261|j(Hpf8cnfya?qkjYUW0gq!H$RTKC z3Q|5Ik;ICt;ou_zl_JZ6oI1#H50O~HAj*<)c<|4GU#;#jYz{K2*g%YN7(6b7z)7%vfaIshvJ^bmIzxc~@FMsqK>NtD6fBlYJ_-(~ z6545?=raK}bx50TQzUKiTyM))^dx=yTRI$076wj0ilk zf5Cc0K#o&DBeJ*a?P=@mYVQd$T4A;uJNwx$Ed1Mz+}yk|3ziYE+H{XQxB)U4WGpX@ zt`^2}Cy}I0A`o$Svbr_}Waa`(x(-pBgwxT{&>?GT;jk*0|IT8C0Y;dYx2>o5g2@2{ PBZDxw4I8xg>j?h`M=7!> literal 0 HcmV?d00001 diff --git a/Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.tex b/Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.tex new file mode 100644 index 0000000..ea3b531 --- /dev/null +++ b/Geometria 1/Spazi affini/2023-05-05, Affinità e spazio proiettivo/main.tex @@ -0,0 +1,167 @@ +\documentclass[11pt]{article} +\usepackage{personal_commands} +\usepackage[italian]{babel} + +\title{\textbf{Note del corso di Geometria 1}} +\author{Gabriel Antonio Videtta} +\date{5 maggio 2023} + +\begin{document} + + \maketitle + + \begin{center} + \Large \textbf{Affinità e spazio proiettivo} + \end{center} + + \begin{note} + Qualora non specificato diversamente, con $E$ si indicherà un + generico spazio affine di dimensione $n$ su cui agisce lo + spazio vettoriale $V$. + \end{note} + + Sia $f$ un'applicazione affine di $E$. Allora, per ogni $O \in E$, $\v \in V$, + $f(O + \v) = f(O) + g(\v)$, dove $g \in \End(V)$ è l'applicazione lineare + associata ad $f$. Pertanto $f(O + \v) = O + (f(O) - O) + g(\v)$, ossia + $f$ è una traslazione di vettore $f(O) - O$ composta ad un'applicazione + lineare. \\ + + In particolare, passando alle coordinate rispetto al punto $O$ e una + base $\basis$ di $V$, si può riscrivere $[f(P)]_{O, \basis}$ secondo + la seguente identità: + + \[ [f(P)]_{O, \basis} = \underbrace{[f(O) - O]_{\basis}}_{\vec b} + \underbrace{[g(P - O)]_{\basis}}_{A [\v]_\basis} = A [P - O]_\basis + \vec b, \] + + dove $A = M_\basis(g)$. In particolare, in $\AnK$, scegliendo $O = \vec 0$ come origine e la base canonica + come base $\basis$, si ottiene che: + + \[ f(\v) = A \v + \vec b, \] + + per ogni $\v \in \AnK$. Se $f \in A(E)$, allora vale anche che: + \[ f\inv(O + \w) = f\inv(f(O) + (O - f(O)) + \w) = O - g\inv(f(O) - O) + g(\w), \] + + dove si è usato che $g$ è invariante per cambiamento del punto d'origine $O$. Pertanto, + in questo caso, passando alle coordinate, vale che: + + \[ [f\inv(P)]_{O, \basis} = A\inv [P - O]_\basis - A\inv \vec b. \] + + Considerando questa identità in $\AnK$, risulta che: + + \[ f\inv(\vec v) = A\inv \vec v - A\inv \vec b, \] + + per ogni $\v \in \AnK$. + + \hr \vskip 0.1in + + Sia $\iota : \AnK \to H_{n+1}$ l'applicazione che associa $\vec x$ a $\Vector{\vec x \\ 1} \in H_{n+1}$, + dove vale che: + + \[ H_{n+1} = \left\{ \Vector{x_1 \\ \vdots \\ x_{n+1}} \;\middle\vert\; x_{n+1} = 1 \right\}, \] + + \vskip 0.15in + + ossia l'iperpiano affine di $\Aa_{n+1}(\KK)$ dei vettori con l'ultima coordinata pari a $1$. Per comodità + si indica $\iota(\x)$ con $\hat \x$. + + \begin{proposition} + $\iota$ è un'isomorfismo affine. + \end{proposition} + + \begin{proof} + Si verifica innanzitutto che $\iota$ è un'applicazione affine. Siano $\lambda_1$, ..., $\lambda_k \in \KK$ tali + che $\sum_{i=1}^k \lambda_i = 1$, e siano $\xx 1$, ..., $\xx k \in E$. Allora vale che: + + \[ \iota\left( \sum_{i=1}^k \lambda_i \xx i \right) = \Vector{\sum_{i=1}^k \lambda_i \xx i \\ 1} = \Vector{\sum_{i=1}^k \lambda_i \xx i \\ \sum_{i=1}^k \lambda_i} = \sum_{i=1}^k \lambda_i \, \iota(\xx i). \] + + \vskip 0.05in + + Si consideri\footnote{Per concludere in modo più diretto la dimostrazione è sufficiente anche esibire l'inverso di $g$, ottenuto ignorando l'ultima coordinata di un vettore di $H_{n+1}$.} ora l'applicazione lineare $g$ associata a $\iota$. Allora, posto $O = \vec 0$, $g(\v) = f(O + \v) - f(O) = + f(\v) - f(\vec 0) = f(\v) - \Vector{0 & \cdots & 0 & 1}^\top$. Dal momento che la direzione di $H_{n+1}$ è + $n$-dimensionale (scegliendo $O$ come origine, tutti i vettori ottenibili scartano l'ultima coordinata, sempre + pari a $0$), $g$ mappa due spazi vettoriali di stessa dimensione. \\ + + Pertanto, è sufficiente dimostrare che $g$ è surgettiva affinché sia invertibile (e dunque $\iota$ sia un isomorfismo affine). Chiaramente $g$ è surgettiva, dal momento che ad ogni vettore $\hat \v = \Matrix{\v & 0} \in \Giac(H_{n+1})$ è tale che $g(\v) = \hat \v$. Si conclude dunque che $g$ è invertibile, e che $\iota$ è + un isomorfismo affine. + \end{proof} + + \begin{proposition} + Sia $f \in A(\AnK)$ e sia $f' = \iota \circ f \circ \iota\inv \in A(H_{n+1})$ + l'identificazione di $f$ in $H_{n+1}$. Allora si può estendere $f'$ ad un'applicazione lineare invertibile $\hat f$ di $\KK^{n+1}$ (ossia ad un'applicazione $\hat f$ tale per cui $\restr{\hat f}{H_{n+1}} = f'$). Viceversa, data un'applicazione lineare invertibile $g \in \End(\KK^{n+1})$ tale che $\restr{g}{H_{n+1}} = H_{n+1}$, allora la restrizione $\restr{g}{H_{n+1}}$ è un'affinità di $H_{n+1}$ ed + induce un'affinità $f$ di $\AnK$ in modo tale che $f = \iota\inv \circ \restr{g}{H_{n+1}} \circ \iota$. \\ + + In particolare, una tale $\hat f$ è tale che $\hat f(\x') = A' \x'$ $\forall \x' \in \KK^{n+1}$, dove + vale che: + + \[ A' = \Matrix{ A & \rvline & \vec b \, \\ \hline 0 & \rvline & 1 \, }, \qquad f(\v) = A \v + \vec b \quad \forall \v \in \AnK. \] + \end{proposition} + + \begin{proof} + Si consideri $\hat f \in \End(\KK^{n+1})$ tale che $\hat f(\x') = A' \x'$. $\hat f$ è invertibile dal + momento che $A'$ lo è. Infatti vale che: + + \[ (A')\inv = \Matrix{ A\inv & \rvline & -A\inv \, \vec b \, \\ \hline 0 & \rvline & 1 \, }. \] + + \vskip 0.05in + + Sia $\hat x = \Vector{\x & 1}^\top \in H_{n+1}$. Sia ora $\hat x \in H_{n+1}$. Allora $\hat f(\hat x) = \Vector{A \x + \vec b & 1}^\top = \Vector{f(\x) & 1}^\top = \iota(f(\vec x)) = \iota(f(\iota\inv(\hat x))) = f'(\hat x) \in H_{n+1}$ $\forall \hat x \in H_{n+1}$. Pertanto $\restr{\hat f}{H_{n+1}} = f'$. \\ + + Si consideri adesso $g \in \GL(\KK^{n+1})$ tale che $\restr{g}{H_{n+1}} = H_{n+1}$. Sia $A'$ tale che + $g(\x') = A' \x'$ $\forall \x' \in \KK^{n+1}$. Poiché $\restr{g}{H_{n+1}} = H_{n+1}$, allora + $(A')_{n+1,n+1} = g(\e{n+1})_{n+1} = 1$. Poiché $g(\e n + \e{n+1})_{n+1} = 1$, allora $(A')_{n+1,n} = 0$. + In particolare, partendo da $j=n$ fino a $j=1$, si deduce, per induzione, che $g(\e j + \ldots + \e{n+1})_{n+1} = 1 \implies (A')_{n+1,j} = 0$. \\ + + Allora $A'$ è della seguente forma: + + \[ A' = \Matrix{ A & \rvline & \vec b \, \\ \hline 0 & \rvline & 1 \, }, \quad A \in M(n, \KK), \, \vec b \in \KK^n. \] + + \vskip 0.05in + + Considerando allora l'applicazione affine $f \in \AnK$ tale che $f(\v) = A \v + \vec b$, + $g$ è l'applicazione lineare invertibile che estende $f' = \iota \circ f \circ \iota\inv$, come + visto prima, da cui la tesi. + \end{proof} + + \begin{remark} + Le matrici della forma: + + \[ \Matrix{ A & \rvline & \vec b \, \\ \hline 0 & \rvline & 1 \, }, \quad A \in M(n, \KK), \, \vec b \in \KK^n, \] + + \vskip 0.05in + + formano un sottogruppo di $(M(n+1, \KK), \cdot)$ canonicamente isomorfo a $A(\AnK)$. + \end{remark} + + \hr + + \begin{definition} [spazio proiettivo] + Si definisce lo \textbf{spazio proiettivo} $\PP(\KK^{n+1}) = \PP^n(\KK)$ come l'insieme + dei sottospazi di dimensione unitaria di $\KK^{n+1}$. + \end{definition} + + \begin{remark} + Se si definisce la relazione di equivalenza $\sim$ su $V$ in modo tale che $\x \sim \y \defiff \exists \alpha \in \KK^* \mid \x = \alpha \y$, $V \quot \sim$ è in bigezione con lo spazio proiettivo. In particolare, + ogni elemento di $V \quot \sim$ è un unico elemento dello spazio proiettivo a cui è stato tolto il vettore $\vec 0$. + \end{remark} + + \begin{remark} + Ogni elemento $\hat x = \Vector{\x & 1}^\top$ di $H_{n+1}$ identifica un unico elemento dello spazio proiettivo, ossia $\Span(\hat x)$, dal momento che due vettori di $H_{n+1}$ appartengono alla stessa retta se e solo se + sono linearmente dipendenti, ossia se sono uguali. \\ + + Gli elementi di $\PP^n(\KK)$ che non contengono elementi di $H_{n+1}$ sono esattamente i sottospazi + contenenti vettori la cui ultima coordinata è nulla. Pertanto questi elementi, detti \textbf{punti all'infinito} + di $\PP^n(\KK)$, si possono identificare in particolare come elementi di $\PP^{n+1}(\KK)$. \\ + \end{remark} + + \begin{remark} + Si può ricoprire $\PP^n(\KK)$ con iperpiani analoghi ad $H_{n+1}$, ossia con gli iperpiani della + seguente forma: + + \[ T_i = \left\{ \Vector{x_1 \\ \vdots \\ x_{n+1}} \;\middle\vert\; x_i = 1 \right\}. \] + + \vskip 0.1in + + Ogni elemento di $\PP^n(\KK)$ interseca infatti almeno uno di questi iperpiani, dacché in esso deve + esistervi obbligatoriamente un vettore non nullo. In particolare, se esiste un'intersezione tra $T_i$ + e un elemento di $\PP^n(\KK)$, questa è unica. + \end{remark} +\end{document} diff --git a/tex/latex/style/personal_commands.sty b/tex/latex/style/personal_commands.sty index 2b1db33..1449f46 100644 --- a/tex/latex/style/personal_commands.sty +++ b/tex/latex/style/personal_commands.sty @@ -38,6 +38,8 @@ \newcommand{\nl}{\ \\} +\newcommand{\bigmid}{\;\middle\vert\;} + \newcommand{\lemmaref}[1]{\textit{Lemma \ref{#1}}} \newcommand{\thref}[1]{\textit{Teorema \ref{#1}}} @@ -95,6 +97,9 @@ \newcommand{\RRbar}{\overline{\RR}} % Spesso utilizzati al corso di Geometria 1. +\newcommand{\quot}[1]{/{#1}} +\newcommand{\PP}{\mathbb{P}} + \newcommand{\Aa}{\mathcal{A}} \DeclareMathOperator{\An}{\mathcal{A}_n} \DeclareMathOperator{\AnK}{\mathcal{A}_n(\KK)} @@ -171,6 +176,10 @@ \newcommand{\U}{\vec{u}} \newcommand{\ww}[1]{\vec{w_{#1}}} \newcommand{\uu}[1]{\vec{u_{#1}}} +\newcommand{\x}{\vec{x}} +\newcommand{\xx}[1]{\vec{x_{#1}}} +\newcommand{\y}{\vec{y}} +\newcommand{\yy}[1]{\vec{y_{#1}}} \newcommand{\mapstoby}[1]{\xmapsto{#1}} \newcommand{\oplusperp}{\oplus^\perp}