From b69b28b9403d506bd647bbb50e9b42cfba2c43e2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Beat=20J=C3=A4ckle?= Date: Wed, 16 Jun 2021 11:53:42 +0200 Subject: [PATCH] =?UTF-8?q?4.3=20=C3=9Cbungen=20Aufgabe=204?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 4-3.pdf | Bin 98256 -> 100739 bytes 4-3.tex | 39 +++++++++++++++++++++++++++++++++++++-- 2 files changed, 37 insertions(+), 2 deletions(-) diff --git a/4-3.pdf b/4-3.pdf index 94a1388cf99bf6594130a0156232e9ba4d736be5..a6ed60862861985a8e8022e6504c02bcff06fe05 100644 GIT binary patch delta 24835 zcmZshQ*b3*5a)B_WMbR4?M!Ujwv8LxH<;L(*b{SN+qNfm_FGl$!#;I&b)Bm2^M5$q zeSWjwP@y2``c^bZc6Lr)kP00Q@JLU`ZF3kk@T6{)n^|uC-)5w`Z<1_lY(k1FS$Jj2 zStKTQ5lXV06*A$+<5_z>7!Q~w+~|?4;iw?AprGKE5pawBeSd1~Sy)w&eN>vx%4vJ1 zL^AF)Qx#lg*vd(>$><~lTRUkXywCfqkwFnVuHkj#DAMlx_vW=C(C_{p_$-X3mQkEE z$9@Tg68DKBYbOpX6>-mFnTb+_QfDr}XP_)AsxFJxRYI2FpP>pvkr`U?PIgI;1*0DU z@ECNi{}Bz5M989tGKsp3W(Zpn+Aw{oMJ?RL`#KX%m|$gY8EI1=fyRPxv34{yR@b|? z2H*4H6M-69C)8QU?a3nwl#E(?ynGznQ8N7VX~U2PSHc0I15I?;-YUoZ3+dOS`Hw&H zwj?^7yO~~CMd)P)*7dQo#*)2H#v@Qm-OGmvd8Q+}O@(BnI5w1`SifR3{hg+68vtHu zuL;6wSD=d`G?Rg^A(hn>5+t>s795Jan8|3Uzvm5G3VyG&;RJu%0`Yc2qK;4rzqBbP z>v#Kzy5!Eu;y!x+)s)!L#`I|rT)W{JA2_vTXCHaAGsY@31n#3jnnHPKAilvJ$3d{!Gnj{i^}I1O?6UA6f_EtD5x!Tc+=+`LD~pf7)**EDYC z+n^e}^XsgGhFQskUT9VL{W0zPrEK#xxoV$kw382+nd#SlHn7t)9&Z#vmPH<>P)ZhI z{CDy!dI;12Ci_$Q2vJI;AP$y7!e64=V1Wgf;}ZBr=zJMbRLwVQ^D{1KY{%yAY)|8c zh%;ib-xQ(J7Ua2c>u-xe;jBsgo*Xm;THvLoJv(%0xL6GjD)kdhP4{6cK_+N@oN$wp z2@tB#&47Ufa3B@LQ)l~`ILdW4hCfH9Utf8R6LFefQGXDn4AZa=D$Lg~98Nw7ya>yB z>?(y}2}iYjTi2;St2xds$?w1NIB^(6GTs%=B_cSZCRAbE*#ZXh5zNy0On_suf)Xgx zXUMxbZX&(Dn?lP|s+VV57g$F~}n z!3LNcpQLg(@WRuc!%4)qdLHFFQ^=58k0Upyw>oyBP; zb?A0>hoPUoOBxC-Yrn78yKTGcm~c)ms&1!aJbwf>(8`jqx_nld;_HRIKXTP#?dra9 z{FX4H{Ru>Ywu5B~mWyKu2cuzeCI+~TXGOVC z+m*Y&Zp>KJe;aK zof!R)Rk~{hQH45~R{px8zYk$KT1Pz=n5cwOtw)s6@$^zWaKnP&cj?S4iymIzm>!N_ zKaem!?d1}R^nEegjx@sB^6kg!>ACW+uqVzBm`0VQqv7v*sUEio zxo?`=w%KpoQm8X&TB*6Qk{mL*PvulYDuHFJd0{h)U`E30-VdU~a!B8uk_^J;jQVM$&1s z^q@oho>qIAxwMWt4aUjp^D(M~4#Xrg9J;L|422ZLq*0i1GWX|>C&=or+umm({eUM3 zTJ~OlNq6pEU5T}=0MXn6cjr&Vgf4z=o%F)(45z}qZn(&>Pi54ochb&lqEBpPK9~#s zWJW%yqs(|Q6IuAm&b0MA;J+ChLWl)+dV6&TvT!`kZ8Uk!whVFNz^f^jpE31bCj!-s z)~MUI>+7uI*F*It!XioDBQUSTiGdBjUBBAbzItr93D!P{Cp2(t`jUv@A)$K>udmP5 zU|f3rw*s^cw;am1Yn_{5Dz&cRieqmJ2d48WT|&-Fxe9 z7IaIUbF)|HW(Dt2$AT-c*#-nw^8dt_$rE9RJ2uAoJ*zDfT^R74!eT~V?S~Zq`$K4y zvxmxRPfU?jt|h&b0*!6qnAG6eUI3Bzm?d-_f^T>9;4KD0hM^y3S5$&+CF{q?c|T_8 zB-4`Xm7?_g?Jy?`k*lp(nxGyFD8~!}AL3Mq%|7BnZ*Ga{B)x^akY%hd;d+a6L+IACA?egdh~i!y9teS9-eW536CsT z)IzOp{_mQ9nPl?=6J4*$mUJe+{RN}5;rXv}VlZ`(IWyvLUUf1zpK%7_u07rmVYVVFYe3pmHrV5*~rQw*zCs?F>206xB(ZRXsZPyDlOY+|4vJ zzhm;I^get!>s%t)Da#ho(4;JGYz2s@N+ryOwqi3;pRXfQCnKO~T&FN=bO5WHR%D_x z>bji~YkWXA^r3qTN8OUABMmH=D~zR>m-&Wz_z6jaM+;&O#nMuJTc!Pvj@~L4dEv89jXUdF%f4BMfOdoccB!t-eUk!o32=`329?X>}1}KR_ z-H8&ab`Y4OwG7eN0#<+oFPZ7R67RklheoI5XDglmq@r%{?*6Zu&At35@)=V-#45v9 zL)9>!M`F==NBIO_G=4hrZE6=i2_{*s>vLZE3R{C$_FvLLPUQe@RJKrX^6(I9k&j={e0W7#%OeB)G-Ttk z7u0?#se+c9via-&RNMTX8}z8+(SF=GJ%dP;L`F=8PHKVN$h?wB#>XQN6b+V2FAAKBokltj@^Bkd?<6@o<8hx<^Pb|h0d^S^ zkf`NjJ8;ToK$-%pA0$KLQJ4JEGDgj57E{c z1#^7#@>PW;8g#k^{u^4*d=eJ=D|7ZayGD~CK7%-b9aJbx2V@*;fFEGN2;akphqtQSaQI`^xI60oXvs^Fo-}ug0n&*D7*Vb6<JwHEelRGL1L8mgM%17f!x9j{7!xFB)DLPjMh9`5GJvWhU_r9R)*x#WOwfpNA&9~h z9pq_B4C#L(LVRH-+kc=KwtqTW2viJ$oFn0mD;G=`q%vV8ImKdO} z40_P5#U}{a8okj92>>Fs!32?8e}iaj(LtOx_aHAj^d^2=0RV{29s?9>R}P|aKnES0 zGJ;&~TS4}Y{{p#Y$9S9Fk) z93u$LwGH&_hS{|3iud0!4|I?M9YYhhI~oAQ;)ww=@K^wec%g%u85lrLo^zlEHjE~9 zFGc_e$``#U)!PLC67s`n!u6#Dfb{&)n^gSZ0U*}^j3y_42mr_@5Caqua0f~RVuGCf zIY9k^GoZX63{apRJ!l3v1M&|>2Q>sufI33Zn-YWR0id!_4A6AQD##@a1N6?y0IG>V z1l@-Qg0#c`XC@4w?I0M?pRfXuLj*>XeK-IBqKm`;1xHkZ7@{yhLXlS>d?Ck$*!w~NdrJlOA&P5yJULNN@I7_*;Rk+B4z%qou z>MoNJRuGmtzs0x}PlhPVEgi!_eC{{xw|)O@7qFAnlDD>E@ZR&(b3Jvdt`;dij^+qR zjvPcG5K(kQ4T{UkN+Ai#&dva3XTyMkMX_V*BR?#L&1WNdIz{$alD}b-Tq1%{fX`ey zDEmT+h)57Lo$C-mU0?-4u*%9|+4y~fQ;Z*VB7d4-MX(N`TOcc3z*F~FqJB_?B5ckr z;MzKb{@FP;k^^J^1qFtIg=PMoic>@c*2I0PIOar<1nus=O z$^{!%42zx7*~w2m+8>U7ZO=G807P<*B(n!wN5PJ2!XHArjb#xbJOq0k{7-m5fgOa$ ztJzAh9_gm&G)iB0KM{OHpZ+zwzDYWYRo~|^7$K!bPy{*T6SelE5*Yt(T@wI|H~5?B zS?j4zOnLRj90do#%Nep?ppeBb2y>ALd^Snz=%+WyDuCqIQJqLq_m2-DAn_q|$a*Nl zHAJ8n68NZ`4M5}>^1J8++%tlYOrOV~;Hj6!^^?vGIPS_Khx;cK0y4t6|6?hiVG$R+ zN7z%TR+!rkCbV;~>l<8C`B&)@Gg^9Wg1#?H1&IEq%u`*GANuhQmmMs4-wY$gDE$yb z5D$Qa$QZxY=*UBmkhC`!*k^R?2i>!s;4BriBnTJ9ya@059eH*I?ivb)GF^*ebo1^0 zfo=jG3?@f|1E>$u7B~3?)avCHum0M7pYV$C1v7Nsu|tO4{d#L*8%HDSu%S zfE|7BtiX*6G3qy*ef1yWP8m-U#=7H!T9oKfW=(s>Z*m z?!FzRx0klR+Ol8UzQ0{U2@0O_fKZ#U%a|_0V79mKtU;e%6@bH;+25iJg|$fER~lkL z*D#{+mI2I`NF>BSYVI9k{zVC*b3nsl7+D_|km7!%_StUnvXCW;Y7^@1!l8X;|M-h} z=hHv<>Usw`!_VN$C0PGD67kBF?=R|a z)##r(!BkDXCb%dzJ%t%Ni4Y(t<}E`;6?8qYocPCgX5&UDao4mZ;-j{~w7}q zhFGw&Zt~Gz9yu}5O<&u@ex@v-_G`hQndQzICl5v$N?U)O zF|v}ns~(I8_Nd+u26jj!++)~`aaFZ!n{iZMV=RTmQA&pD=)773rTf*dQM%5QgT;9Y zloOS)DbvavL*yfcwlynN;i@{0v(D;_R$*YYEVH3mZ{jVxlWD8p6Ud*1N^L2R@mb11j>0$bH%@VB zC`q1&(Z0Nw0*TaaZYhmwy#)jjwtooRcQQVwqY}_N<<3=u%1M%H{8C|Oa@@c@ zqJ~vdtDhfDLtF$tvE(^NXg!mWmFEH5vRcx{L0>;o`ft{Uwf##Z>&8>DidN~O{p+y- zlOks{j1H3CGUD~U7Ba~$vdULQZT6wD*kHW;Ki=_qE>M?|J*u!Cs}C%XbNVhx_agBt zRv56L4V#%(W|YDv-k}a~fVL)!sA@o#qD{xRc9mQsw@k|00&gRgf79Izo5XLr#HcYd zV~Z9<$k_1s{YdLho$QvV{JK<8548J&=@RIBdUL(MPhHFNy<}G=-2p3Jj!xx~M^7C$HZT6q`z~LyHJmL^5*>qqaYLk?NH z^#63ysCD!V?+}FXva~+&eH7XhGL^gXJwGBSBbZC9LIa` zy#d2_1Vv<$neKAwv)7CGX{iFkCrq1(iPjXL)e(%U*8tk5ag|!7|?=}ZHyl;q)YLcpc8Iz)nlc#_IZ}# zE91niJf;+Em?hC_l{M~XRP5p;q1W?U_kO#!?vFBxPd1vfz2){(%Qgeu+&>bY3Lki; z>l( z1o?O$sk-zqRZki=xY~i4KJP3q5P1MZiyw);CkNrsFe&^&&$3CViTBg>#a)Vi?HWQ@ z<1^K8mN_4H;DJASP*n1$jNZuUR2voj<<)UbsnJXqn2)7Fr*E7@mIOb7tz%^ph6UZ) zz2;amNb`|uAm6C3@MfKRM>Qnz8D_4E4!HqRf=`Mj*!8L8>Vv=@`wdwCX!!aE|FOIG zLt+J(3iC++^J`Y~sfiF+A*4iZJUXEqjNI`U83b}#@SIj*ag0K13GPVZp{tr+_U-8o ztwX}FNcoqry9pfSM)Pi2_({Y+0!YM}Skf-{f|TP22gyj-Bcf-tIK)CObS6A^dYJT# zk2rhm#Hk@(@qxg4W+%TY!QwAtzT8y*s#dvw5%DFV!Q{-O9A^iafp34<71j4(AT;GT zv`NVv8r^+DL*$paApiV~&suN1@R#E1WO za^8Q~CWHX~DCg%2BuK2I$@8UXV%k^z8H<-ggXMvUIz=^?{&Jc1Wbmx%Q-OO)YS9 z*!PaCS?#wFFR>=a34hPcBcipHGlIpmGV?E)=}NUhkE4LhB-Z@&t=OQ{Ms2oU#E(4d z?`DkPDobG}nr|AZ2!SLgV5=hTs-($@)v=>OEV-@*w(eYs6bn_U#gNV$2Qe*klA=Y^ zgZBdCV1!U&a#ZC4flwAHU;P_oK`$?)=drJxQ88U4pM6Wcs5 z8N_rTIgH+*M;f^7HmA(b=f;-IB!;=;KFDww0MhdFR)4I#3*9bk!urlhf?yR>(ZgcvmmuMiZLNt8sv}7tCgbK!X??z52LXzO+Zyk6x zC5C)OB67K#@NEg`m_yb4)=59O0?E6!?lo_X7w3{wweD587(&nEW-iC?!qKmhFvg_D ztERW4xd&Wa|Hzrt^vc1QEM)3)f<957H({q{%|vjC!chrj{3k~%fuFkfA4R`vQ6_*- z(x$AgubHtg?{i@ZP2j>T8jI^p&-dN99f?@9Dj5lB(}&Al{jExipga~Rl<1ads`Ij$ z8h2`CXbWe5u1WFD7o{=b0L=Lqj!4>n)-)GT$O?7L_>sqESyjXve!uSr?(mg-RkW%f zdWSzIZH_Jod5$4)-rD|Z)T;yeOb3DW$0GPyl=xXS=JC$jPZkL)gVBDoe3px!x-;(n zA_SlsL9N&5E(`EA9C14jbJoY(veBk5Mmye?3eFPQ75*A;sZTI8Dan590mb_lUFXsp z?v<9eXzK=B0jh%Q)gK}->}U#Sk9QOJ`Lb0ywV1EkCq=Q5PR=clTeU{nd3nGB!gN6~ zA^fK^rbF)oo`b@Apj(h`9DZ)X9&>+K1Fpr^F{ikxkwy}VXW*Z~ufSZ_=B!%M8-rr? z+&F(5*`j1|$*8jf!7;6zFdud%H3b)#{ZvgQg$m2Ew0}E^z~p|lKb6jucI$bIWYM_K zsnHHh?9Q2#I)AT!Yn#MXz$*jiONTOueJZ$x;&&^b%8aBh@<^ARS@{9yIvIbr4KY9*RJl5w`fa3lf}IO{A$hxP7_sOMhC+6E5z#V$7l2=sR~Kr`fJmH)fge98jOwx+oXdoe=5 z&5^1pZZa2fyD5{vE`L zHV|bBH#J!F--&XcB;qk=8IR8n_!%Yk5Ro!mg$1a!e)gqKvIUO zYAW4G9*ZBpkM!vm;2422XZa26E-6pNCX>d>CAk4C@+QloG56c_pi-IoX_Rwr&}Cc`qty{l|>H|2)35Ar=SH&6pZ+}gy_yA zl6Ec|WcsIqfhigSN9su)ocC%ILLw~{jUI(&zIP)}e37MZ$NbJo&hJ6Kh ztX}(a2LBqj9Jc^pxw8IwW2oI+J0FQynreZs%f9c@OWn`gtCjFVJR-$fS#glq<$(}X zfR`>;xA8&t>R!SMw>H+2Wd~9lqDtA z_0Z<4S6sif;5^p5F2B9Y5ILK0D#rL8cTM%2eIXRyrf4ZVnR~l+yvjcA4s^%|FnyXa zona#6#^Es5NrYdz^dO0Xu9?3 zfKtKxN0gj}lCdHmI}#3itolQmCYKDy^_%DU034l7gmKg|TGB$~Amec`M8~+AS>F`P zp364dBie>-r%2f5K8~C|>213=Hf@W6?$8u zWjJPM?t^y%Gf!)Bkj!pZ##DM_qer6KsKxR|%gpPRI@cjn;oDB0A(y=&$Fh11U-#d5 zV92{O1gcj}KZ*5jnsZ9C(}mWWPl1)g;UYm-PcJTh@q%cYc9XX?ix`C^XFJ@IHPJQ@ zdxldzT19ZT@Cp^1sXS4-9P8Cro37*hn*_?3$SRU{B$3f*E?8cI%E2x_=7t=fC4g4* zPJSgMg*bH=rAaugCQ=VUPY;%b3WZt#^DI`@bP!N^F!<>0? z_4Bcem}JrJu9HqWxK_#aZZ1BI=pi1s%qmpu9OcJRruXQUM;LH_yL4hjo(uK&2G)FD zM!reYzM+mQ{ZOmADgm!69-8^mj#SN2|2j57uy9)#Ny=+#MCdJ0Ug7wlrZoAc;(XsC zPs9u+pF){#E&)r<+)@~VP?jldS^EiTT;;V)(oXWfhpA~^NhwIKmjBqY;U7ORZNRdg zXTL+u=sMpzkf=;TYSuGK!Kz2Y@xi}yZNlbvdYq4mkWnBXDeikbqHVI8!rlYx`1mw> zp>C_yo~d^9doceHgH-ZMMLy%P3<0jDtf-(PF+_vyB6t1-wc^utduE|m5yeO?!6gED zKHHqkC9O@%E(73_)9Ok|PSzFJYeil$!88dZEu7+L1^m{MdAd$5# z7B3i?b5hXO(^^bXY`;r$l%Ff@(N0>cgw#{Rmq=wk8xh`^oXSmc;VNAw7 zz|jrPi|C6w*^G{$(F`?b`5Ej!=L)8E^sTFk_&kmv;Z*+&k6dF4`T4W>tQ-Holz)^rMn|T6EW-5O{Uayp zH#ZL-(HFaXZDqJC7i%9tgJ@pem9XK@q>gj~l`$>Opu4%T%=pRCAz0lX0L#Z;{6=yC zlBc*wY)}yN5I|NHF8-6ZGN5{YQlP-*IRoS*ZPvoSGe7Y|GrCzQE%kPC@$a(Ufd2Q+ zSE=gSW^>y?E^P3zOS=`HRMel~f;+A)Lk=~HE&uL;%BP)oHR0va=9lL}9K)~7h8^hF(sx)C1N${y+dV&{ zv%aobDfWQ=Ftik)DC`B&*4doWl=z7152U}4OJo74)yCHvpg<1D_){?)YU&<0Rk{WYT zV6x|l4meZtF8zz8-K(povLpo(V>IX0#@~z*@_cHwXHH|V^Ya$+dubFXSmbZhp&ZGh zkSW#2Hyy#!#JAgY78DLzcji?c+oA`pVP0^$EIhka6s!GWIL7b_)rufHh!?G=hLm|Q zmmUv6R%ipjgyDhC&cPif=c@9GMwc~iv}#+#t2DkAJTwI}O~R6n{6HdB&Q*__9wCPL z6i!mPt2+?Jomrr`-@E^ZBy;Ys-h*6t#yg(g>gy{wDh}GUw1HQfif)0>tv`>6al zyIu;^o~Te9G7ZdZFJi=z^Co^bpUjJ5a-jYp{)u%vZWoT+s0e5(9!&wBxz7G}lcl;MsS)h%bh zRYO^LrBWPV3l$$~j*==;uK-FuSpch1hpSp#Lh-!_$CZUM%<5H{h**M@@f0@}40Z!C_&hT0o zx8c=j>2lcLO`b)SjJFPORG-K`c_(GDY%bpc${?vhg$nMAX%QT9$c>Lm#FA;(EZ_`mkAG^?7 z3f;l1jcFL5yTu!Y|PP? z;tHGKco~ZnXfI_uBTbSvm4LPs2ht=e=9<(x|2-q7%4^T)bEt7@(-K4-y>Gsa|y~D*yCoetMT3N$1kG)$8PW^^MZFMUm z?WQo12zSpT2SMCQE-O`TEt9YE?*&IY%{BZ=5%|<0V-4w})5n=u-3uC_6{uRv!^%Y) zsyYE?pev%C-c@TGJu)9~E8b>mX_%KUCm>F5{yAzuD*X0tNr*j>^R?kT^TzQ%jurk; zToHe~RqXa6*q5wHp%UEV*MwqWLv#TrZgt|5ab5h8?I(Z`>_@MvGG4yIS8>MEVe7@V z;w3s_wy>chsi0wFduhaO+bRgH-kY=L7K_(;6a%x0$9{YmzB%$F< zR=tiAmp#IAgvMR|bU}O{TBaeq6rWepbVJ;jm2pSI(3Ja^7;9Q$6(@hWp$uet$>)&M z%{>t=oH*~h38(p0$PM0i*3{jtB+bOxwdZxHqjJi4>J$&Z8VrGbH3W%>9DcSs?a4MK zsI5oHGcaMl`bKz85{H(-6(q>=%l-eSm8p4^#Eds-t&`r@&!Ggl?DxGm3EGlmn0rz*;x+T!yGa%MVfIbxV}WHIUkCx zwkZEJq=yqhwhAbs z`v@NDL#Xo4FIL-!`HDz`u5V%^9}_pG`^AJn8knH=hBQ`jsdzOZMtnQ(G6`eAlro-p z;Vd0DHdIBzFY>^6(pObGv!~gT{?d*L8HgV<^WzP86{y>VQ{)KZJNvsaGFTefOui}r zFFdA%Qr?82=_a58JDvb>F3O3m2GjN{kDHpP>#>sk0eyveBa2NoE|3@PH_G)->9xAw ze}9fLUOhw{WVNw)OmIlgDL&HMW;cHD6l_+TQ&k|Rq13K5bT$`?(wK48-yS7*Cd!+U+n7SnS@|)_k3nHwV4o^-!fkCYy?%8 zHz5vJVzN%Ub?)@gpP;}4A9lIR5+9Ncn(WnpX6=Z!%c-w;dR{|~?-8NHVh`-y38G7S zt~(a&|K(+v(p>n_1lg@K+fV0qLtDGZGjH)-*0C_urPOgI3{ zFpE|7sf2;weoFx7U~RRu2bY5Xv%5BlN zre)eDp!xVSiW?@pMccJ$MI$*Yln6yGQU{8RID3tawzO7s2Cf(rx}&ein9l>io$%NR zMNA3T=GHPQqz8uywUVIDN6977aJ%oMtJ6HPkmvMPrCP1C*iMwG(EN#PAjStu4#fcH z;%<`J6=$I0{r|!cyzKuE48h9F{eNHxHWrru4MTWBsiWJ!b5pW*=txGf*kM_R|kMFX)w}xR}@@c791KR=!vfpl=x(b-=YDiiXwun1zdPg z&(OD3MS>74u-ICcM~vUR;84aPB2m@VaidON1#D;uqJ0H41wR;EW&`aA+wXBfgh{oL!vVqb(71MuUQ2YJ$fR?dQZ`*xR~g zFjCW`-oekKPkI#a#|>Qg(8A%+e$V z0VjdT*d?ab7WSqTADz3s8gz8lK;xu}KM2a|`tS&0B13Eql`^AnGGWa{8G_l8=fq>=~x!<8r)p+#?`|vyaxYyvz>GBKn z=v(ymds=F6WbmL(b2sDddsZwNHZiF8A;bT%-_X?vIiMX-@y*o|^sS>M_y>Ie=5SA=CRK%r2*{1PR}&1pjpWBAt7lmeR(}o6{?uhbhJ<&FdXoI`RSqgbVR`9w&(MQ% z>-Fd8Vt#$mgX-1K0vc5&gcRlmI%NDwn2@*}3;B*gp|F&d7p@SrNI0^^Lox|y?^O22)5S_Lro@9PNCV_w~WUBkZPfCRfnf(UprGteC2>N$@|4RZ7 z>DuebU>@3uI;3G|MG5ox+xHFUs)Gc35&1=Zibz6(lJE-gQ6=&V8QQIVyBE$| z=M#9i;{-==jT{LWmYS>2_S)Ls3;=3ZPF_=YEK&;(^_nMB(%^9<*gWu-k;!2DKT^0t zyA|YYFG=2eh#CNmjch_L7_7Um8OOTc)QclPyK3(k2mPhceXC##BVSe*;~G4QY)C3< zrANE$b;kFwUITm|mJVM6%=!505l|12fy5l2Rn8Wmd{fDcxO5|#i=_PY04xO#x%y}t zqT?Aaf4+eM@i@#Q3e2L7f8|8m!Z<|}SG~LQim1?G_7p%_0p!L!OrSFd8qec^`etW% zTH;bxILJBwdSSPPBy9=7;h0&Ja;E%8q=SFVK1EOK?wV~x!Zc`X6JDfb)4OI>X0-c~ z?b)q3v#S+`vItj?HTj?Yt9*$-^#Dl3*5?SLD}Mu5vI&!8Tt`ytKBD~fAv5lLZ$m2X ze%@toy$iT$e|Pu3vhc@~<(b;Q9fRr*$Fnv&-5)cNRQ>;ch}38FaQZz0&;oE3|!Rnh>TD~(3DLxhJ@+@z) zxJUI(^*Octt6G5utR=j2CNEm}{k@gSpYAj@(eeSRs>HxZ1dwAjREF?Y;*vkNpX#l? z@xaB7qHS%krynd3a-r84^~l-5Tv2Aus-#%KKGKzGp-1+I$Y3p`GdMGymZjFDHlem& z$8aaqMB&#u-wc+?lG_gb+p6`I5sm*yCHLJ~zYZPQi@-S6lcSV38)M9aeNNSdX}e0! zm52nUU!H3|y0VLMoGrK6#uB=6V+NeO*MJyXR3Z$@;LL^|CGrcO{5R}4m}xux7jtk- zhbf3~l8MZJ*Xw5Uz`RJSRv)Lnv`t|x%}gPj6L0a&C?MOo-;kYt?qG zgbfgJ;UVG-^7YvQ+)1_Z#z)Kl?s)BSzRv=cW7}la6Pa3oOPf30iNB|a+X^{81HJFy zx*y|Oo9$knCSKuuw2q?3GkcVVTsfw?#;iwFcHV5DS-QrKs$(#8{;gBS#j@N`IuNZ*rQ-wKH$2JumGLo-pzsgbPdTp!+7jn!zCv z?6>h;)K~EJpkspcxJWLmpyHuj?eWT*d2V3A7yemc+a}S0T}2O zl|h{wkoMkqeilazFNq;J_!Ay4{};wq!_c{IIgV?+Jo<>BM5E}{hqC1BJX=qs=d(^H zT7C>l4DIwkT2&`mb8ujn#3Z2Mpy}K>M+|6x>G9eX!b} z^Vv^EX(Wj@^Lbo=Ym4y!ANw@1`*d^x+pY@8RVM9?^8M@fAy{TrrPqb)bZ;7EKC$X} z4cJDbHA3~b#}ScWLdU;bs>M4StZjHSuNME{5fZ+VC$-@0uO2+>U6brk;A zTMwg(X4A(ZvHLr6?yahMU+P36XqO$s_dLNja%GXhJYBwcHE?Iq4A{U%T`kR1QnFX0 zT%H~y&J0H=P`XP)8}++#V?54mNCxK7SFB#gLo=LSMhpXNH7H$S!V zhTc9DfG@beugaVVA#uI;C&`|FaTs76~7Fw5Xr5BF*U%^Xr7Ge}0Wp zJ(14?YA?`1f`Qg(qe(rCb&zhXK5Z;VAo^6(NW}A);dukwb(e%#)1YtZDFkp-MFDao z6*WY|@}%=FUCCF3%K^?cX$y{AxJv{}F$&?-QDsij?!V3w?kV^e@Q|;LHV?aKESHQ> zk*X>?VM}%#jo{l+-|;mT(*MZVFPv3 zen#UZl;Wz5@EW4?5?yS?{!yfUh;KgTGtog+^p$aOu_0Wl&H-v+KTwq4p=L-Al1tkw zx4wy9Myyse2&)>Uv}^}h>I4C15`{Xa#lfq+eyT~X=J2-*SQRH=&*+8&^sCXja!CW4 zZ+u$UVz&@}k(p(SI;qkV0B%ELW(uD&>$Woqnw!%B*A;?v*b}P*NVap94Hd|oj(g8Z zBWscrdUWM zUurpM6-G(_4w;G=W`0=Y5s9QZqwtr;->;`6a$VY5k^|Eeuji-DR+@hr0re+H%BM$b#%j3@E9jjjSw=uoyGIPvq%4O0F zbMP;n+X7;Q;8wy_G{H~N`%ml(sBH1D49u+Jdf<$<5Z6?4+hOoAeD~E`>DBB&IJqcg zEH5?jbEo6D(UsBxMzs=j~BWv6PH+ z1P=!6Iu(rfG(OEYI$9|#3Q0d)?2v7(X_V4#&w%HiU`mPvXK(o2hI#`!VW?oQL)tthF;_ys}P7BQ$=ZG#LRiibPOag2qE`jck$>CqKf zUf>^Qi$XMGDG~G(<3bhz3L@*I>lS%+eS%{RT#a9S(;$dAp%H73aL<6FeR|DXL#oW} zO=gN7@Y-foI^N$m49R><2BkjOB}*^HaU#KAYJF*Gqui%}r8YHu75(x3J4QOG7`^Zt zJ)bx;8+t$u(~|*NAt$x)e-lS&FwH~x7f@d9EE`s0!h1w1MMcezbT$7rC*4g9D`YP^ z)~n+)Y4*{svO{sXo78Wg6{~Zt+4LgiFLKdPE8gXcUw9s}vnK0fMLdj?9=)c+c3S&; zA9!QvcZyh)>Q(w4c*)4r6OCiKfO2Q_7mJ`%%*%#2)btI4t$lk;#1r<$D!@JP23V`; z@7w73;i0Yb@x`y$^=Z>sN5KAkcTKK?BOir{qbre5755LiT%h0&?lL!U1V`)-hl;cC zmI<tz=<{%~fZq7Cfxi_EOjktGv6o}TKx>oOK0=BUs!QtF2z?#O+_ zic8*lqB1uPOayi@YV9`~veR_@1JL(rBut?AWe>xC3ow$*^Nzg$r+%8gYUzV<>*$8; z=j)s)cun_-G$HSL)$Z5ZCl~*N0<6VZoaQ8T5MF6NN@@~{*n%YmIOn}>nCZ8@S8W@ndN-4nIm>^Ze>#4c&Q747fK1z>4jb;)(;=dyuna_TobZs!QxnPJEFE(GD9p)G;S20vLfom1rfh~kPpwtBabEtO zL>mr^YdvYGC-FXO{!S-QeMS)`XSvaQYN7w5kh6-4g9*MoE`z(f1PLy~1b24`!Gnh2 z790k5cXxMpch?UH?hG&lCpc`*{&)9v-@5wLIsICF>vyk~g-NIQ?C<_o-L`Dn=Mo}m zf|wADdr#oO14FGrokt+8rR5MwxBYpIuMAk{HRP-{b{k}dv!lcPP_ayLP3tsuzoLPD zWBUU5vnHECALr&+q)Lp5=1D?kpnMXYQpJxyEUJVjn?M@P z(5uSylWLG}En!GsA>d(Cybtu3xY}3+SAOYxUFV&t!O=>$PsdbeEGz+nE4tm`_93_z zn9Z`Azjb?qR#pAG2lHSsHxULUf=qtF9ZRd!epxll3{vD*detbGnpRZMVs#qi(ag(I6Fw9PyG72WU$?pYI;@csc&lUrV@iH9ff;6CR)!V z^ePdh2BKEQ*Y&8T$(KtInzgLJYmetxIs#UNE%=(PYOIOP*sw@rqSIm-ehlVNytTx> zd)@qSSqDRQ_gi6`GOvkNyE;E1IH5i;{)8wh62Owu?qDV}?l6d6SUq6pKpx5p>sr(A zb)U)==S?#+(r{SeXP_x?pD`NUa>qcEb46IlRGiDH{kVC<;&ZT5#FDIaneN$lcC+Wv z9cH+eSB2zsKik6SMR@g{Ho?ou%+kN>8CVT*jP4yEz3Re6KU#qJLlr4V_B9Je)C7uc z88|DR_RPZm zBTtzQXv#b3hoqI%6o$AS&9<(z-gp9 zj7XUaHv&i7bIsMHG818`nc(Ig#G;Ua$q>+zjP3IprNWc7oBe&$3AO@uoiZe z@wKyOTL}*xeh;56GckI4%uAy#VqE7w#&-ZT&Wj}6Pj5|w zH^zo17jI@a8jRuJjIO1k3feitNxoxqW7$*4wYOiURw16-{N2&iv2@6ZnVv#?Z3j|n zCm~2~7?{PKytSg>dUYY^@7bPm-q^BWhrSdGmH$wQ!Tm!VJmx;Lp)&qHuwYGa(hDt~ z!C&I1;FBQ4oA9fC0FNqS+x`oJ6y#ijL$^gM53 zSXU(E$kW!C2~yV<_w0(Ur`p`|T!eDF{*LnkYwDF!3OG$&D;tB7eSp-CuiHXhoLgB_ z9|A-HZ>nLR#7Pq?CaUzgZhkFt%-1OzaefGR@k?kAoC{&s~%Aa7HsE3oZc6cePLd$lB?-is#Mwl04_V~r1SZXGICp*P_6$c{m%uk zB;i&hp>4X=35p?fd>UzMJa=dG@<}Z-xwM4rC$Cp#`Xx&{Y3a_Y4);W}T4|9OX6-29 z8iyJHM2w#_Dc|!cZfRrOvl}}R*QedQX6O6L_3gkH;3ay=0z}4oc`};3#!}4iggf)? z6NpnFjL9!o6OEf!5S=T!x!8q}J^CP; z9M%>ooZpt0eHMK9?!K7MrVW(LR!>{*ji6<~{4a$^GlO=9dqxGwM6_*ufD)j|MX`0i8@ zCAZqi>Qdx41=zoAq7mP+T4ecCL1>dXGixS^YnXYq#&(tnWzVCZrIf=ZGZB-^yV?3l~WEeId+X8x`^joGRjB@mGO+B0zR=uIdEpYyQsfSxJd zss*ZNLm`C1W&R7xa^fe zm6FO4G}!BeO4+8U_>a642PZHWUU ze)4KlI|`4v=$g$6u2G@Uugi)x)$>hUFEq~J3+0?H>9}c|9J=7fZoIPCD)?AL+1(C@myqx4-mVH6&fZuuTJomTu$Z{oZfdN-FCJZ??XhbJ#1oYf zG(=yOSU6HH^t93+FxNZ&))s0-EON)EnqD7bTo#IM{n;3_enstFDIi3Oh&(RF6+o5n zb&feH2>;Xw|48rYFDQgBgt1I~i1wKDd-}dQH@{)e1=Wz9Kcko+?USltCHGDp86JrE zbkk$T!lk{5FM;v`jPABI=Z%5hr|skvL?fEXO>KQnC&u48cHFZ!y%4IWl(RL38GgZg zxMY}RB_fomu*`@t_Qw!QnC`V-imUcH_vw|QW zh;BRaVu^==@exmwllrA$oJke^o9_p)A7%1`^w>D!{t!6o5g?YhQB^#}_}Pv!aHZjp zXa3;lLxKD$PF>tiKidSNENKF(TtPhdT$H^sJ@!V z{w9fQRHn}-9vJJ{>LH{;TdRRC>wKwmNLO-+92;B_M znB9IjO`Y@A=`(S((2gsJ#m>9An#)99KH88w%zb4|R(-}EUDP;X%j9c!qVY0pI^&BT z2A8Ud-DZ6LqgL!6V=MD0>7(+WuG@ypMm=5Xo8NCg+=!TK_#oOBmXNID<1o=z4`v37 zc@0(?-hXy~!l><422B*1VB|lF(1w@ss@t}JAn1Zb)hZy(vH@>m zU)oo*7XxZ0hWFxB^Y)&)%h}|Abf8H$hRd3Gl5KJ+-%|l`v0Dy{N(?T2)`+}&%DdHs zHvPyX+HM#UodWX5@hW`vB(2Z>*0m_d>fFm|0_JO=Zc4~Qq>-Bx%>HZzK{V12L5XL? z3}#|+hCC4ObH~bqE>FUFN|-f%q~z7*(bQh(JiFRnrNk%DsRiat` zsh1~0cQL=RyKI4i{|&sm6jP|`NfI=kn~coBLgl(UpoEFosWuqVk<$$uwC+u2_Jd~k z9#VCk3OAg%u2X}BsH30OA}p0Gn;SiE4w*7_>wXQ{YHb4-UAq>q1^SZYZ|~O$fFz#s z@@>UV5YpkFbQON52AS47&Dk08vASNZ|Ket@N8d(gba;n~Yv)6MG+W>1!y?M|hMxus zK;9VFBTMvM4z}-VXAE>UK_jZmQi(FrQ#A#8s>JN|d5h&m$c=u4@Wc;bN>{MyqrYOT zXVo*HfMo(pQ%W{ZO30OGa^Ive%Z2DShq@TDteW{1D7jWa;h3=28|`S7-Uz21ENmo4 zk!v0O1=3x?9k8ECT)}7ZR;t$PQdP7ac@@BFJ*>w~U}j@UFGHE}mqldy$0xmUO@3wt zzQUQ%;IMB=pw#j?Dj@bglg-}@pJ7qf^S$$zKnz5dJwsN2%G>~B<$gm`VH-OPO~&p^ z%K5UFiozQr9nh}#QYvSf&aV^>98tU9muBsK-ukh&Vv!Uz(4dqB$C2{6d-J?do>O9i z6xoyaN#psN;3=$NKs!`v*Hi41wRLl}ZB_#y?|Qf|LVji3@`M1AABp1QZROUU#jWQZ z9l?|RE6&Y9Zpi5xMo_>rWw1_QZLTl-R7}5x%&}PJbX~ey=~K%>msi;}SS&G~buzhG zGT%ia?|Aer_$RwU_D8g%(-Q0u@66O;jP(z%Qi`s7WFF(*4V=rf(l*5I&ZNP48^fTA zT&B0^Ief!b%eRts_iARpL;9(`l0FJP;S{momK5MEgDIR*0YmefA4a2-xB|nsg>Q;E zZe_hXa>%YBdSrtk38VrCVDxCxN|5*uJCf8`(jx|+=~p^g|8 zvmZuXRseRZv4n|o`QxO?N~Ie2cuq(CpRj^G*5p)Z_I!j{G?cd)JtO=rOOh9sILr4D zJ#XFB6VUP~-(8v_?y9>lKkcr~J18e!n#&iUd{BA9j(mb;%U@Ba;5F@R?f>lGfk*rz z+gZiGXg~xz?L$_w4XqAZ)34`;$!-)Y_dmX}ROaA~8x{wqb5=z`BLJJ8N7{7-B_V47I zy5ZkX|JM8AUZ4250(NJ7L2!)bO^EQxyraX)#Ue(V)Jp0(Ym84>Yn?9nY-jTr%Qi# z?b52-a{$!nxA4Y8PRM62`+qrfnWMw++z5a;}09JWwa;;WLyd{}{%h*B@eo&vSVNTQ*1+orKP zr*gOHX;l(AUsD2oA=R=CP_(s?PJhSB^X;}v6L)~chvjOkVTJXhg5_!ZtOy%T2Fush zVF{a!l2-2ni=JlU04ssS#l^?X$CXy$088^7gY)Q{EJqk`}|m389hqVbMHJCTMBb3(Qd;zVqR zfstkCP=mfWCJeHfAgviSD}(zuF6?A_G)al{csPH0PByvv~MSPVQd=I)pxPBe1S35ifC z&75WfZa1E~xCck!0F@F!O+fxqxwP|vdIVa(^JQ?lZ4&r_WnxV7g3gO&01XezwMUwWs(EhhXFi>?FIj?hKQxk5O zprcXBjZ_ELpXN}>N&$PIz2{LzJ^#9OV)!??00A<81I(ZG!@rJe%5~_5Ykc3gI44Cm z8misCf{RVQkxL*D#s>KvEPp%1ucBvySX#85+(|u^;GiZ`0K|)-))~33s@Kg0|Q0c6!sj3R;-9PQ!4*i~&_5wWI*_l(vp2f<4?gbd6DJ}oc zV8YTNQei43Ty~KlC4dz#f_fMy>*fcyK?ceL;~0W^^x(V<^Bs~nO%tM-WQlfAn0c!< z#%th2>W^kCxsJABv6(cH0-d0?gJn| za(T!Fc7hd}+4PyIlHCem;JAOS)oow~F*bIz=5egz$J}<&RhAc#WwAJPrJh3tNfVcB ze?}UvG`=V`+a*Y811JlN5R?AciXeG7{h)y2)e?+zb?8=UC<25O4j*wm%=*{3fBg|a zos@3&UrpYWa*~5dH8Y`Yf_X~70^;h zqJQ$w8@+s~C@+~vp8Xwn{6+sHqhe(`iZt4GRhGaEpD}8!m5fuii>X^W=coi`-6BT( ztz3C_i)03kfZPL+312R5dl+(Dg2LFi9Vn%Ihszf9pHQsX))y&Es;8{B3X10Fbh2-P zVte3e$?v*mi#lr40m^3AI&GyLsg_f`Kke9_VJ@op^~!LP2#Ck3?BHCiVWg`eR&_~F z#MOEmnDPL0Y##3`0NEfh4J@EysnfX{nA$EP4nV?&A@Rp=wK<)*0SsEH!^{85%y1ip z&!h}M)*6Io_rsv%Z0Lu-3WKL~E!6MeeW@MX0ZMEv4B@jDcnja=rXc*&9URM0<)i zA_J(9oc~pFw?lSI_|os&WjoQS+Pj+Ii3K z4mHZRy1dHo%Ll%^L?6Q&sECoziqQ5;BOsZP8DLN%-Dp^TO1cR+_amM$Q*;uEXI(pO z4i-1vtC3@Dp9uzLud@QF738JOo4?YdC&CKUM-}=up|rZ@y%}GveS~c5h=aXrIV2rw z-SufomV)wbli#v0HDkw7tgdWPv`ZcRw+S)lu}H!WB}euU;lpUb*9~&IgS)&1Q)1HZ zxLOH)2!@9o1NgmshuO&Us~8jL=kxd(F-_8z2b;O?-$G>jli=wv`;nmf!s|3k{9#J= zKHtSJ1|kqUe9U1#XW8a|bb(<-<1bEz>HsJKs*NlJf|Gz+Z21k2Kjn6y7$o}gUa_Mq z;DgQBbZl^eQ;O2S>7{K1wkX?t(WpCLP&)2{2fAsABV0$DQy9GM$(uiCHWO0zQ2^#x-zg$zd5peKBe{BiC zG2d~(PF#e)bT}8Nw;P**sRq4va0RyR`rCcEJ(?HX+K*P_r^H0)AQWB-nxPiOQxI;K z!+QKnJQ9Q)R}NWIhk&mDy?d3Cu_~~*#bJ_M&q#L|7vk75qSPaDT_H!oIhwC>5F;gn z*uf_$_7F72&7ix|{3-h4a+txr6#R!>R;H3ZY%`K{|NLE1Jdd@&Lu_9-V@x-i(Cb0$ z2m#&8z7r->DgefRiw~j9Bfaq12Iq9eCQ6I4azkONzDhhoo?t5Wgiy5%EcFa*^$Z;K z3|#dLJav^wPS@GUZ>b`Jo6m?NjHN<bjn8?h{7|h*C9U*?Auo&LO+%?6v>(`>*Qpa9P3PU zDDZ`?W}-SbWs^%2h*Cmr9yc#WG*SxH+Z{Q93rXNYM5i-DBbON^5Q|n4F+<`2sajTN z;aT*u&1P^Lj~;1d0L!!yt)qs}N+Ub{9T#jv9aXcAz$2z^ZJ8W;pI6}8A)g#_KmI9r z3spKC;hIqBX;%p+gPvf&7dg|mAa1tz)VGVWBShmbo#CmnOI?te^DXagq+N;J&^`)m zuuns#(Hy&9r?2}~J`zD$)$uWw$C~_GDb(UII4Xd|toP%;rRVP6a*kslaOt_Tx9X!Z z?LO=oZ1z_14(VglALBunc?$nY#AW>I{CsmF5OE4rl+TGD7T?W6A+f58hvZn1{o{zk z@1fUOWplX_)k$_y$OjjMs-txYihnga+O;dAp6*{;Rr1b`>t0TO`TnDh{?qCId;jOW zwF2UC@!0#^*`e1`B5m#K?%P+LHWPN-YBVbXUa5MBDy`4~&q2YNBR+~4ReOwDwSZ3kX&!f}9TRh1~`l8L)0>i(~&PBAP#R>Y{-p+x0 z-}jbJ_p0nzvHD&5`xG=X8(;?w5f&)0oJSp52~!q>pE*QP=pWU9S?4Rz)7E>17Hb6*KYe$pPOyOZIJMQ0;;(UfY>~GgPntsPE zJX&qUmic|R=@ojs(Y0+6w|!4pO9WfG#Z}aQ?VDy#IBM%#w@v~qSi%<>mr>v-H|#+! z8UMhH)J?r3qFyvX{^ySYN^9_er2z|Y8Ui>pe|lL^a|v()ICQA>xu|)lx&B>hI5@ac za{+<>U}y~hhrGR|!@o-4|5Q@c`a*ns5|W%CX>LAV9&R3KDIOUq87^@FDP9Qy9tkcG zFQ*9g|Gx#}-$VbCH%HCK3rY&0Wd>6$8Y<10kRxC1T;`w1)v+9ve3AWSl%A%6BCkBP zfHv`>GGQa3rIMh&l29nOh*?~OH<=l215ddu6n zea)4XGM}V1)uv^^WsE*f=%5e$Ef0{Vqp4K>P|A%`q9Y`L7L({JX+#7~Q-hbZX~U+g zlMoWVb002*O_4k4lqj)0}?$G{9R_Z2v^Om6H%l=GNYC)9h0|%&kmP7)5q*Rry zM_@#@DD^5l|8js3a2yQa7X*t9&@;IPuo3hhAnSYf7gFUvqA@+8E0p!OrhR|mQ5)SC z-1fie`wnrahYJ4Ig!zj!ZDcCUxlGf)y^w?3yH zB>UXI;Nxh^Rz3?i_N0%o;aZ58eU4ZLm+uCb?T0>l)pWsH4n~~4X$AXu=5vwpY6rPw z3(OG$vHtD8cciJ>ho@|wQ1m>jr~1UQ5Fdw7=Qd_ljAH1_@(ONy9L5uNrFXyl1${K$M8&BAo66MPAure8^T~zE;jq?X2Gp1KJrc!^ ztArGQW@uX5|HfW5i%;EaQc+q(##v12d~{<{@|6~Jj0#_C?$gI*HY;PS3ZHv!sAAm% X?9$4?uoP$@5Dy=Kfk9eT2JpWC!9*do delta 22431 zcmZs=V{j#0^yM8p>EI?Ec5K_W*|BX~H@0tV+vwQp*y`A}J=m^s-%P6AZGLv1~m^)^hu=enIDJ}skLWTqTGTXPTAt&SYK z%TiXY>tI`E1iXx`Gt$VYZ#NXGxdJD^gsl0W5ey9?<9A4MKZarGp6KLX)2`b>&W5?#YRd5 z*_*%NMboo-7(hy8N!-k@Tpl;sh`y_H1&cp^2B3sM=lXX+)dy|2G z$r?cLD_NQ3X5rZTq#JKqs#XoiF;hGJ<^I$mkTiD0h(bPLZbIMU_X7m+fpX5Y^cD}J@qd(`Lg9Igf0o;RSl$X^{C#X zfBcShAlI94gwUw)GPo1M1Nv!hC>|X)(qV}|HY%XXp$;-5snz@jdgsHa z4?CR(w)2HPfE_QqIzf^88?=R&!N&3%H4e@PPh%R*=aPlE*~1U4&SWnHdiH0y@3@JY zw7Hg^W3O=|Z~s(GrLqC`K(LR+D|zEDc&R-KKa|%H(Fw9VI!hqgT2@6e_y4{h%I%MJ z=UuTAUXNNAp1n#BC7AS<_FzwH%OCwJL2CYLB_Ix$h>t3#9+`wP-!9*{VnMh8q(MYqB$_?~x zaS&Z_ap7zj%uE6E1|554`$s|TumYF9@A(@T;K4HUDg?*k=x_2Y0W)y0X!w`ndt~~i zbnfP@T_=}qKd?PfTWM6e$-{n8d$v`I2aYEW-l1;o9h@e4_zJ(f!e>T@BymWUSmGRv z#JTSMO$V_%yO>9j=Sz4W{AqalnWsK{65gndMN6jq{TK#B(2|c%$PpaH7l`Gr*J{vp zXnd%=+1Is*c>&jODn3tK`iWjS@f?Q=(e6~ZtikapQko^P{#)6259;Ph4A1a5vfJ&h zza#Uivh>eV<))kWls}_GNb(Y$uS@AUa<4vsTug4`yIFGtYqvvtWHYF?MX^Zzk~S2( zKuA;?ncfL#N)1(*KP!OXBD>jNwXcaV9Lm)}q`nSbtAfTraDDo3Ep)Hjnk0aj%rfFJ zV3+<+KUi=7aLD5x(u${$5wx0Xj^v*ar$X20YvYUhY1GzG4*YdrKv`iQ`F5*qIT@^N zR;;bXoFRw3HCXd*&f;(ar#GgY zjL|z}#vT3eG?Ic;WqiB#$z)}JU5F$aV@>tV+`wS@H&$S^x0ag9B&cPxy`^R4p-D%! zK~n&z))qYBeG9?~8yPpBtRR^`>DMK3A$$FhT7&=L>a0q_s7=db(IgJdO|aGOCr9h_ z>2}OP{ZkhPXN&!ZWjg-!OuQ<5pjOE+f+v-{slllLSZ&8)sSjRp{ArUarodu5AEFjQG$8rI0#{weI%s}oMKYKN@bpo^L1ODhQk zxhds9qdRyW-0c?O-8z2P(+DnU&29rLS${!287q<`EAK?bUP{Z|Qk zQ=H!lNM&kc-z@aO$t?V6Lie#%>*9x7yloXI><02gDAoAJ>5$Z*4S% zpiGWOY{}*+2?o%V>sT1%w}4T>f`Frcay^L>_;~Ig|KkVmcK}ePR_yM`^Attio|x^? zkk($%H5`+DHOjI^{8D>@ZkS~NE{HeR?1dp!x`MczNS#(jl3jR(c@Gc$>+#6Pce!Vh z9V!j`&04i>(&?htTC*@P#1TlLMTENKabSQB=T721^Ik~N@;n|hdO)XgsyaD;aY!v4 zM6#Vq)cG|$LYpAEW#SkOfiLW-E31qu?>6G1P;CzR%#$2B)f5fQ-zI|>#cLwHbKl`{ zoBfj_E^2ckPPJ>`C>5dyauGG-QgTSR{>?H51;Wc)tM)@X z;!|imEcVDCpCq7<6KS32HU%0~MKKfT}F$ zKtwTcpdK?zkcSxth}*mfL}88z!c?IJ;am8EHq8I`oorCL1qMjlavvmV2>=mM(t@^Q z;X$EREg*g?07$`l1;k^G0bVZx;2=X=KvAk4I4IZ-0IIaV1Etzy zG}SrqfrGLgFhF09<)Cv%07%D@4s_)72UP0xpXto}pXrPNT1=z|5xM4oc3d!;W?fmp zLEWyHpqhM|CSiAIa1ew$2IxkS9u(%$3KI7KfHLLiKz^RrAOTN6Q-BvgILOuu12pTs z2iS72otm)$Od8$nE_n}13-j^v>?&Y84y$`07MZs4nhyZ0A+L0ff&QT zK{x-MU0CTsJF&g!_?MWUyUZJsCIL`FxKkqRb4mXVT@j%wa6Ki+bg`TTC_ahTF(efP5Iz22H>TEWGF z(S!Wug;&h31|2DM8{qj$9uTFiZCxnj?=P(H?+@;ag(ZrOfbuyJGh>Y8<`zthhW-si z%RfPYE}G>aXF?z-3l#%f+T0aNAVMW00Y^{SIfg~JxsU#)MLnefSA+2BvklPh5^^Jh zI18I8jBtH&4_#X;nqB{}fj13z1QXudE8OT^2)t8J(!hp_0kaNNeo~@*h(l$}#!80$1=#rmT>F#8oZKepJ^l)Rt5!i+O`|3ZL@Cfw+C%i9ehlRNNe*5rwgpy~( zBZIj5^mw^`KlCXtsj@B|f3(;Gz5@UW`a%Z3P!lAD(h1=pB7*`7PeOs)f>kF$MnJdz zZ;wjc0W5f^+wW5>Ke_L-)qO^Y`fqX+lpVonE7G~@P>8i}igxZ^CPAoA=r=*tPml5M z_}$*h4+paE>oB#A-J5Our|qxrQDpa^{_bxCA?T8Ig8SNVU>8&%X z_3`n2D0+^#7vV3sG28XA57AjL9QNiH+sg!?F9SXm!~_u8`JXBXX+pudyFvTx7uEfW z4GHWaY8JA~*YC|hKG+v0Qa%9?d7BI7)6Zjmudqi)gTGb-Gl2f2sDiiy-(f`HM0xi> zAz`At35S>XUqn~6wI>unRoKm)-ka-iFoee-k(=YvMAR|V@Q#E(O}Jj#in))<6*}(~ z7Nrn;MbKED<@$&46DeZB)stSaEGg~35~4yy%l-sSXgwWgm~6Lrzri>ZsQ&U!sdIl= zzFiPhWTpi90)b%IWszCT&hkl^zoY=2PsS(n;@dtxlFK8tD*>S|)H-_4wn>zSjp z-hWDapKOW4R`@{G5i*4rNF|fMgUg7tEsaEbiD_^T{{r%!KKs=WCef5T^X2YH(L@@| zoUpI;!^746a{U*v<~Wmff#AAI-8r884VV|A6uHQ@D&hR_|J3ojbeb)Ega4cnrn$&p zw{!X(1na!^!yPeBZT$s&=_c2iB!7-Z=-&m{HNNz;-&sIxB(1;_HebX|97{v@H zDj4KLyYtf4ZmNMcZlyQ*tNk)G?B-y0$~m_kO8D<+(C2gw@M0FrS3io#o1nW;R!swHLtAeP34eqeX&m&?{dq^rlm3LMI-72`#G;IDFq}QWBeJoASKUpx1~zb}eV^uOVd!U(+8OK#<%-B4B8 zJol;EX-uPHZ3;FbBTw=LC&?pxr}K|pr~8&No{zBOR|3}-%oApKOXQED^`#<{+cW<; z&t*dIwz@GZ%?5jp5k4>r4c}C02+f`}uzuic-+Xt0qI{weS(ojmdZbjt4cdT(PmbUe zcQJ~_l_Wns2A|46BC0lfPxa}OslMab{FGBLo12}TS?JH>daAVKb#T{Q|9dpYPq8x2 z?kD8}JZGac9^#yw7m)T<^y{Z4FXGOOazNuO^N6TZC34_{*CaX2Yy5o~vQmpFk}{A~ zPSMDx4>c_@ z-=t$5z5LRpGJ?Xpn3{fC>xQ$;8KA9Q$W zS@O!mqa`Ar8EX`Z*!R^SA>|Cz%POiC8v(3bhqVCm7+IXcw^XF%f`t{knv8hKB!&j| z=$U%FNeP%O7FTqeJ9kv-IwAUdK-0S(@u+poz1+a`4U>7{pB9f@ISP$Uz%Gz?g_5=V zx7SE^FOvAG0Ka#u}c7e*)2N|Cl(8|m01@SzWRVXwE>5)l_ zJjK$_Wh@Endbu@^orx=^k*WfRrw^ZFOm2|RYHJ$3o`F7~gy=!Ctkgj4!BWJ)=h9Wd z?r38t^k9p%pv>;)>{UnS>IG2j7UQJzZBnk!&1Y3>c*m~Ajv0J8zDwG@aPJJ=$fiI^ zI#6BkNED3x_fL3%KP2sl(Cx#Lv@sPrBgp!xe9`?}veeT@-S?q_CdP~+g7~XZ4~pCz z`=~&*+E`|-jO~6Jd+1p2%Uq&qG^_B{QomP}M6yP9)X>nV6pe~)oo8S}1xiRWze&YE zbuncTK7B@4w%ogU*NUpr`k3O#8=eoi-=Vw7dV~k#eV08ATa#YPfJ?~`1p#CXb+&@T zzdpI>y4bEx0A?1_q@!IA5p^=Md{ko5kR=@!X5R~ye&>^K@yf<|8?nFEO25|lGZE{q zd@BU2{Cp^)liqAhTF-#&KZkj-atn*=lR3*qv@mML=1STrvN^aSRMd{t4##1TQ<6lf zEHhAei~L3(!>kL$aD_E>GQwW^WK}Ac{)I(8H)e9HZxYq8>8}eo99CxDbWiCT@TiYl z^;VF0kP)(4;q!k6lK$rHPj8F5vHXEp^YONRxHGex170{>133W%$+t|4ojbSF9`2Us zd9+iQM4OOKeDcOe_GrSP_3W0)5ttzv$%r$t{Q)xKv$!gsE14cuW0InGyYm+jS{GOq zq81>qGbGqNEp#~VrTr^dUk0}pT3L%SO7Wk2XFGEZ>fjmUSwjetx~qO(r&wkXY!8X- z5-{?@Q=V)e`wIfnpWYa2_1ed&8P?B{T-&eAruR>qS&(ZxG(+oOS!@c%tg^K%aI84s9ZdL(2^);s?H)Q=qxYtf>0wT^2hm#Z}QYe&Yh!Euk4dr zk5%b#S&O2NXhoP@diHWq^}(I1SPeP$`EJ$2lo#*>3{&4@@Q$_W;4EX2xw87XK2NzH zJ=B%*5>bF;Re2zXks~*4FE-iFGKpuznQSs+j`B({VburpfLVP-vArWNP1i;#>9rK9lz;qQT}Mja=vo` z9SDRY^0o{Ap1Y!3z&md~K|I#hu;%SY4Tt?l{bM!gZ!r%!2)XG5lXHxVk{j&3>x-2l^$g;%Rvj?h zXXSnMaEMu}4ZP8|Eo;s_N1zFC(~(qs(-drXrE%U|^e8taeoB8=hxwakA!#bRQI!7b zYMlR=oIcYn%RY8Ht)Rus6CyoFnbM2>R{3^o@Eq5pa=C_@KWY`;VYuxN4Mr<>6l2IH zdsTI!o3M3QGZ_tO;F%A>Y=OyM9W$_+&rQjEU&ADhF4@h)8;klWiGN3~%$6h^$D`s{VrpE-#XRDrqYy}sz6%{iLy*5V&Ul$%zwX(m0o#=`kFXs2gfZt0{KRV>cH``pC_N4e|#w(2@d#YHmdrJ<)|+EanpbspE~or*J4q;-#y%H~_(P&1Qph?ZR#SP&PSn-2v7Tl%21!J!E!$sxeB`_h8^rkCH{uPN~ z22FA8@9KSwpU^<>IR zZ*q(9kHNydU`8eRZj|Ij2ORHX^s!(GSmFEc!CHJMo2q`*$v4w~hM_uEb|Ir;TO4=BSg^we&;E{V_vHOcZZ6U7=l5X_Q)zAAej9?|rQP*D4+6fz2G!#I9l?7NAggc+y z#dYFl)=cTAQZA*m;q@|m?rt_1$D=*v$sc&cJ+#@ALOLFz=!Zo+E%FR8Lr@!Epf5O2 zO{mm)Yj|dX;%mO{4X^T@W-7F>(ZBcaU@nhI1j_JGO8JOu*pvqOnk_vJtsx6WG2M~N zu8;L~%mkqug~I{OJ^M$a0v9(Af5z8uWxg-BTv6R}og+yN$F+uq`QORD=Yzkj)s0$< zDb+7;D>`Mx=bOpQckY;dxy^7Tk4TEME@d4Kj~%&8eY$kgT)tLwh9;*)=%^iViC^NX zmC3CW93E3Hq~@R(qlx{Xx8}C5!A;osdG3JcJEZoH$YBPk+(|F4Y9=6$Bj0V5JCn(k zXS*}!?L8<`l~~wH&@v9Q@%KmhaCa#hdc2W+UKFv$uqy5j=l!2!L&A+@K3}>F-K2m2 zEi~Ds8&9Wdx_mu*_{@CQ-U|%)iIOZ2B(IsThBHxSNPfm(`r|!sI&k3ONtX2adsIBwsF4$d%c7DwfWwk*d2G1T<(! zbY*e_S)vv87KBR<(gN14gsMCxea(zSQZhZ#!DygiJz>UFOY$=iD_EYxP-4CQ`JL%W zoYKlMGc)K5kDqhaU^S6-@rn@oD`}glICLpJNIww9>vqdyuzRUD5Uqw@PVfm?FP;Il zl3;Z5_Arfc;n%P6{HAE+_W?kQ$@;5Ni02yMRPgcsJgFY};psDG6BXT^IsqIbXXH9|AMv$6HL>*RVyr>Lv~!Tc*Vb@Er41T~+5;rg=lVVfd7DmCSLe z6GsQK!9NbL261h-e$YUEuo%0NK5{*BXIM}WV`^L<9m7d?EDl(}d+zzLKs?8}jfUd@ z9SX3wrKb+M)EsX8+h226L})R;H>?ZZOjQ`JSbt7-8PUT7y zTx=9d`KZsMeG=xw6xNo;a3Vx(H-9)T`}sq6CpVPaNRXU5Zo{ihOG4maqcC8B<&2m+ zs0~kH`#)#_@Shm{tJ@|j;#iaUi+9l(SWTHIm>@4Hagzdk(*ey}%$`+-i7_&yJz&0% z*$%l!oW}cv93r;_8JK%b8V$tU6lVUqk=u2_&Wcyp2)p>T)oxP9-J7-iS>_5ibJAWQ zZKk!>B*DDhhBU2Mu&G=c;-)2TO3lb&Db&9qd!{E@g2wan4Hhvr-%ppy2;vTu*;$DF%lozX3sAV> zqgTl<;v}?m1~=!#?K6#yNhhH*IbOign?seRd3)wX+=J2SI%YyloK^~!Ci!CncIDNL z{uTWw%ER;+XA`9TBx2C|Q)-+a=m4f3uP|kQAVx09q8(jtGy3(=#B3g#GhaJf@7M^J z20C=PuXTVCOGCn;B(YNzCGJXsz83JciR(ZF%exoX;B9(vfa#Of|I}?8Je`&*VYdY` zB#n2w{}#iOrkHu* zT}3?!An-W+1AKe+D$F3I6-;t6z@&#zani4XP~tMoSt3JS2%0N_`Fl^LK`Uax*_^Gj zR4^En7Fo3!eL0Ow)ytkvcNzd>Dk30Z17{oi(^DT`~xH-ilk zxw#Q((I5Y;GIf1{H>vLi4`J@KdOUJt<~Qe0tbB?il5}$Jd_J`(;}6NXN@lL_6Ope? zy@p+0Y)*E`;tU@QdckNeBAR12N7#g^NoNZC&2&143NUF2qXed&|?94Sqw8CiXROReASR5O72k1+Tvhj*fjd6X% zH>Jgpn@HCI_kP9nkEOG;-a8IcCjlT@@c+pNZ^76iDyU7bJmg&wC0FP`RwH?A$o%5$ zp&-bZc?IjMTBy~}lnLaizN7IY=(yIG^VATMWHbfH<+$vDF-x@=(O7Xw3ivmUzFZlO zGBz-m^X{e&DVzu#|AN*k;uPFfDBEsb%;{d|ERj(Jw#{YO8KkPxC6hljXUidrf%{=& zOH}^`n}6)vL%PsQlz4AxVpzAhO+3D2b5`hnyqXU{hOHT9T4~9oUHZ&E&4zrt>R#L3g8--u{6SjgLB?k|7%E$s6kJOr zh-N4TmP_hhOvtI0PRtsI@{@GoL(mSFUCk_WD2$B1PVSku$szcr^Vj+1Zg6LiT-kgK z-sS{g&YT){yAX~Se>dT*p0m-e;cT_BjZ{y#w~nz)q$Z*OUH9GtjVCT|We`$li+N6~ z!m^mp$_HxGdG&}V#_rDq^^l_QC{sva_0Eie#?9N_Eqs_UbG7os#l((IY%+>Gv?U*E zzHe((S*~vdHbxd$3TzUehNEIO>qGU!Y3U9XEn+Pl+Du5ccQ*{UakE+Nog>27v)-$? zmnVFYtC$`YLVl%AIpI?N?P*EO(hS>17`!*DG!o)_2QR^~2}@V9%Yk|UU56iO1xp!?a9kQ? zAqO4^nK+U6lu&W14*r_Dhe*S|$GbSsz&)At@Z8nKjBgu$;`AC(3e{4_} z%D#h~7u}5C5k%Gp&l_1~YsQ#ls(_{K#mP&(5>XfF2(hU8z7*Ae!O(xRVi)(e60!Kw zD8siR)gf3W#udSY;43@3N^P0}olT9uCZz&JzB~Q#EyI|ZPUil65Sy3KGH6eKt1mu( zFreAt7R{u=_OuTZ|1+{*p3i%Uc_rCgAV^o-T*Roi7qw@UU~b`K*>-RwujfPmBk#Dq zmRs*mQ$1?^(4i?<^q4K!#(ESkT;=64`3W)e{s2zAUO1K`-{bJ8(G9}@T(N+;_K1F+ zBypIW0C>iqb5p{{UR+yD{+?vF8!f9V##@x)7~fNejg=5fk<+^Q&E=NH7n5GZujcJf zzdZ_Yj+^EA1BkYPi;DNM{5UUS z!9=OZPL5pna5AzYn!TC~RK5KCc&N@B$p3xY8FpP*`oey^R)?;uLaV}+1v@<8U9zXY z+NJkM)tff$Q-4f(+$B}IFUTB9=|m^CRTo*8^JN&heNbxqo2hqjx9FCOx_fDJ;h)RY z$@>h8yDte|1(i2Ch8Xncs256*xw2Ow?p5(|gUVd&9REX-|1YS_ z#m4pjLuGeZH4N}l^%Enf=UT3iCzK<#C(ZV zB7=P8!*slNug~{;ck8kbtqu9{1wX6B(PVDZfV-k(p2jkk9i)ax5uYcquc1?ZS7|OB zDiYQXWbiAvtt|}P4~rK^^cIeKt3)mv*fHarLzad7s6Unq_TQ;|&NtV)E)qJ8|n-H_^Y(61}kZ?$)A6FhZ#OG!sMcxG@k7#2=^?TaM@$kSQm@KKtixrPrnGNg!a1HAW6Rj94sh_m$y@oiI`67Uc2@Y}*J zTxjjzCr$tI0<>v_NSpV-Z_Ka8wm`6N!zafd`KZ`PSZI)tyR|}XKPJH+XxjqofQTQQ z@UPI@2ZSfrLGIxHHj}}Ah^_WJ_=A02DKT=*4o+eGI{EI61YU!o!p&lV--G?@yF{bv z6P$A}Y}?HHlt11?73d4!!P^xM*fGfK)xhHX*C<|;?f1?6y{VhfQ(9PA!18<@^j&&z zFe@Mg)b~dtV(dl5h6}v8hZMKR0tSA^6+()Cq(HwA8vITsz@>VkT+7mVQykC-y5;TH z_3uD^@up(ENi;YTjS50=!XgG5aT+9iJ7j#jzxGzVYb1Y%_kHsck}FyqZ_|x3zI_`O zNQE?A8+^p-^Yhy`*G2YZfGq;Ea0kC*swg(Fb|XI=)R!Q=Ss@##e2#k=foQw6Avb~R zXGDC4D8S-7Sk4c2!)Z8xF6?F8%VR#67qQ_D(1}wO+NHybZNuT=B`atfX{t9~O{{Dz9s%5x4%Y_7#n+gSEBi^%atoGHlXpHweBwKM*>9JAh=gKzl&Ft%KA(T?j!TfNLI zp1wVp9Ma}1+l#m8pGFW`Uf_z5Ir+{!d*4YS#&WpMl(p?zZEoQZPdk8ei(p(JC5L>$ zZ+Cy9gZ4UP37$cw=SF}%h8?KJHJ)m6ZyghcGa8(R79Z`q5^nl%V;RC{bCW4eABczA z_Nqp-y=|NOy>^-o+@8dP^nb?ER@Y|5m8cfI>)Cz(a<-wiUNrcOzO%TOnBqq)gz9NA z)TDxqW!#IFdLcm<+m`h(+000URY4`dkqa z(rHqWnoTt23n(F7vNI{c5xaj)d%~&gry$D1;gqG&+>i8j)+z4FwNlju3(AI%)(D#6 zS|*`iYE)GJ3!`v!yXq*;)tTy7zw6?YzRkx`M`UF0xoaM!)36NBf%x`sMY0P97ZRDb zazn#OE|x?fD=V`ZU0CFQi@N}{DzNVgRiAMg*T%C60JE49~& zp(fbXbFtaJf{&}}fcwB9_U3UTLY8_+IpoG?afNOgl+#mNnSO#QHRW#dK-Ja#+yp9t zNYUkCAuq-)Jp)`>2#?KZPQ&K)GX3dNO;kx(wq+Oal5lCH6DrPG+nu>)f!@uChaaW^ zgXgOWkB(hD8jIPRCMy_6w5wEN5hz_OD__rBen|lthwrE^stV%kU ztIZsEu+Jv6akS7*&HC=-$`d?bt02EhYR|q#VX79&wQiGKNTIx zfu+}!hiGiAV<~lE3{K%ftJ4o|!He?vcw0KnCY+etL&XF!@{76XBWbgj;I2h{#9fH^ z@5)dOwN`=LI$e)cL%0LeSJr_932c^`GHC>GySyYWv#B=nYAK#EM{k?^$h|dz_p#ai zvAL~v4Cf*DHrT4#qR1MVEde%PM{?VZI@gNtdlFUVpiH1(EW&qYG4ESI(B#<|B5&Qf z+kQj#&mAdP&8kny#h}{WaDBU(O4S)@^jedHZptHW>$|PoxP?qlO|h4#B{nbJso^m& z*JC>3(3@nJ`cO>rD?|ewcDcWv=!b(oRoCV5Xkr*2pH+hX;=Fm~18b;^Mw^X|4BlE* zSqYM7N*DKy1>GCTLB^(@Qo-TcM*%9(7Z}JYJseFv+K4RIKd8)FGxGr!;}L!)th*I| zR#InAu;JDHXDUf0g&>YzUF3NOOevJ!C+of>j*&S~%5;Zw!n&BUd)|FS?B}9$<_-d-9Vg&EN_Pv_C$trk z;+<+t13oplT9^u4cudiLSV}~?-+Zr*GbXrfw>}! zg{&EDjeRLRe#U*Q7fRTorw0k)MHs75<&bpP^D2i$CR+UJSiAquQoTtEz!iZ}7HF^~ z#6DpTyqWn+2kakOxB)_-pXSwi0@}woYmb8$(Ti(5GIe(Ihi*!xzIW)rmifr(`>m%l z^|hEZh9XL9Tp@MqjMS%gySZH3H_o0{?{fOfvP2ycrE(zbUw`Tg*QjhSoe{P)r-J>W z>7qK6U3 zooP*UG7==^dIMiIiI_nlaINa?>6?EPRjjj22-Bml;Jje$7zF_qd+Mn_&;-ks_RN<_ zppjx{p&i81ONgyh&G=0pU?Dl;VVV*aHj)m>B?tgCTqA2dqW2I!;K%7}41a$b9)*2S zi0ULRW!A|zZ~lmtWAR9OMc~8TruMT(aK)>-{WQc)&H-wOn{fW#Qyx$e{X4O&zxY?`58rZC3xUDW zBvn@|f+P^@s&=^6{{H9wSLCO3f6rJI`52aHEZILwXxD|UsGDO3Pl@CAWAHu?@Sl}f z=6@X2S^JijPD(L#NZHjh8Uu3DJ7aej8=!OrqfRpC{klD_b(50NDlHO`w$>*INMX`y z?BKEu+r5p-?x<6=m^1&D9#BF58ivD}c-1yef*Aqg%ErdsyjxLr)*AlAg6T{RKOCNC zwSdUeZLfHOdh|6hrcZV@=+D{YnH+3KX5dVr=Bc@6KrVrZL$<%S>ZiEyLiCZ&X8KI&#&Fpz z_iH9lHHaq@@?GsKc^xa)0<>>vc|L|#6xmedIEm_Hi?yNyi#g9~Md{-DsN6<$C*+@W(#&t48p!CjZ>=Aa0#~tfTZ`J}@=|a9=>8*6fh1nN8ss zmK{o$t8vrSlHs+%&Jd}qLZ)Cr#6SJG*;kGoY1mY$4R@Or3^GMb%v>a2{0EviNHI5- zR@p5tLe`ws!#ZzWwUj^SS$e&mNjWUCGRnEHRDAr$b@A8!H=2l4@lVi7Nt=`WlGEwo z6jfe*3R%0VbB8YuU+yDtjlV;Eu2g;Y{p?0_AD@+m!#LBnp-mGvf9QT+%DjW)%S@w_ z^_nE>2eWv~ZP)P`CGsRz@Zv?X6q==bFRGze`k!~2aS3NMKbDUR1wFJ2D+#~@Lj7K; z$(gq5gw&k5q+$v?u^}Ae-$hJ!-?($>4g$BjOsaxDQqMKD;Bax^?P!XI=JktNPPr>w zAMfvkmX^h;lTvE1DgML}x0W13G zo5CuGW3HjQx6XD3j{R=Zsm+z6&ET)ZvK+P#zJzwZ;CE|p-n-oATSj37MXm8&dB{lc z?&Cm@rD?)C#<&|`p}}17yVZ|$+~U7F)kG4VLKb=c*^on}0 z&RoNfk=K z$gUT;uj+^k38D)%KVUyA-t3b#S=B5_e0>$0tfnYz8D9~qHfR%sxx7zM>KX#R_s^3< z_i)Fimz}OjdkQq4r#ZTzw*Vtj22vABuNN^nVvJ?Le2oG-G}RAVmnw9H3)8cstHGL0 zigW3{uD*1Q3F(Vqrtf5V?@XejpLh{-`_iiy5`wW&pihy1Ggi_{*Fg|y|3(OdAA35< z)0UbRT4a=B2Af|ea|qO}5BykRYb4u#IMUi^R+^@S9v0iA^K=RwtT;~iBtIk8GoZ8; zRY!3GVO1k3&F~yrDgn**cu=4VaB1FTnwn>kbI^otfGPuE$RjUm$@@kq+GruPrwwC9 zb!6*6f!muAoZ;#&F-P$Uu?F?Qi|&Bry^JHrM}r?Z+VEHM++|n(v_3bn2LudwZgSxB zcztAwviHNNdpvLRZkkBrAU2YdKikIP2BH#BoMzxkOp0^)V=k__>!Mbk9kVAMo)>D1 zvMZgCg`~8qA=70Yr?SYj=4O%vos$VD z?=tMuR%JrR;O4+k!&8jZ*@escqxuK?|A*YXuOA+n9Q4?(wAf`@UCnTA0`}P4j@!f}JG}@QemGRSxE72->{cqVu16}AfZ4C1* z-=yHd`dqf$|IE!KgrvyI6fEZ=fADLl_2u5apfZ72c zi-OVcc4vyI?xp6uVO7QE*5m^Lskaso7oM@y!NlGnn-n{FQhbXBO*SU%a{X}?iZ3!D zmsD4w7CfEhZ0~P#h>>5*grK4l_Au^3{zpkcX#GycB{xyq<00A@=_$I>B^0*chq zyNHX(A|WM>OS7bOOD)|gA`Jo}ElYPu_{-_s-ov zEF9hHHj+naLBfE7Wg__>Fh z5%c0j1QaYHTYUdaXUpfoS|WvSEu5CtyTsrO>LB~ENSBYmPTIKbA>Egvm1D{2pdT;i z;`R}nmr10MxYL5ko@)4*1_!_8&ur4cROmYryjd|!?6wF*_5Kt8ID{}WvXV?aAU)l zfw>YynsE4zF8WNlh;S3X9s>NNhmH?|A*8?888mISP8GD?AKcE@STJ+Z%8GU$Zqf@Z z2Mp@!G||slv=4{G)#s_Otde+;n%Pl5eZlw>OY+RF ztcWkqmmkn4G>!Iof6K~6vFj0R4fWq!w)}WcQhx83VyK=Yd(6-L%%Y&^`lnW-vHEDKt?Z*g=?=#E3LJ`VjfO{Ws~jZ(}rPRBpu$5E zCHbuiMZ@ufpG8jdN$P>(?n#D!!F#lO$!uRuq4EYnZ1H(g*vdx=zA;B`eY0rPLc^1H zBzF{EMCcgKWKpko=##Tvuz%c4!*I^DIYwN;d6AeQZHRYk@%IivxUD7j!vcbW&rhke z(%-~l)D(8kS4}l0C^c{mFzZ!j8f9SKXzdAYPLCKroL-15CIe+xpyWrFX1PL&a5w?4e0ydAKdK+tx)L1gm^iPR~p9lZP`^yP7jeiGD)WdA_fXpGe!Qo%5y?#RAOS zDIzFKiA#G%J@5!WTQV2f{z_Cgsxg=$-)aE5tsgatx{QRCLl&k`)H6g$b$$von*y+~ zx&zzMOzL1=53ZSAV?=hRf3k#yH(wb;bEofxyAhXB&g7Do=*QG(uT(~_>+Ew&mAKE- zFy5c#PQf?rzgmcTU8|x@s>)VnrdSFp(tAg+6-=t{%psYUGJMDj56B|#kuMHLssIhV zos`l~Ux<}#Ccm{~LLy*LdkJz&X=nd_Uznmue{m)K8~$r`gyfHeyr8H+i|N0v_;2p| zVc6GdDT;V|-Rv7*_nN#ioo$rQjKOfTT)U$MG0$=8BzkI@xUj4GBf5c_iF8AmtyVQA z0WDpqSEt3krvd(-N$%H_p^2^&rr&*xP|N(zOAT!r;kWX&ar^5a?CcYD)^)NL=i}Xj z)kias-_2vHi2DS2EX*Nq`sBQ^y@5Z~HRUTavmxW>Yc5NMgc*Li*)rgnkcT_u3Nrd^ znr{5Dx4PfNxljP*35xz{$nN}Tb3!dAR?6=r8K7d%wt9kB}#G zZf87gcv~ZcQm@x|q}oy?jJ*YKS`Igl*OBnA<)nF9@@moShQZpeWas=8YC;*w6U#jk zP!jV9n++`X$w%E;%ZkT@hNUUu55gQ?Pj@M-8#7zzamwaRp!(T=*Q*t?+%f5 z+s`GnqigLoz$b8UCTD5}u3j{Sij4?LOQeDf@prjFIhAH=&ZJn<{g1RcW6eRA;NVS6 zx{YSO-wNcRE&T&d3pI)lAKsmoPMsHZEtMTSiA?gTxA?m~^P;7`QF}t0WLUAQ1XA2Q z?NiJ*J4x0yH0S-oKOu9$xQ`zE36KsUDlQWWj0ai=dSaKTRV0`Dg#oC1>&)O^5j0&3 zSn`Qfo2+J;`9j=R17Pg8n7-i-O1FgYS{m_#WnH?QlW=JuMzb2XTLB8~jrYD|fiCBx zFCL>uMR1BkG5$nF2Kf`Zzie_x9M$%42s*TS%o~&XAh>u%(7boP$#+fm%6hJnF*JSG zI^t;quJ~u=&eBcD_>y~~Zf54w|EA2PfQ|AJxPk1rqG=i~xb%&)I=J2}xZ;iff^1@3 zskA*GTs1->xALTtTvg|dHx4OiQt-@68jt3uA^o2)%4U+o>k^;wm@$Ix zkHZL|$yxSYv#N zsrs^1%9U+kt-X`pn|#g-{gf-++U#Y)(JY?2q=)L6vFKBmJLR?%TjYcuX$pb7Zd5Vt za7~wsNwnYnjr+S5K3@7nw&*Lq644t1-4U(5GAb2)g36BaSIzm(1PjKg^nBW^DYL?i zCnvKb2$eSc+r+$>E433l9`$QaDbd$wY&KVZNWCL%m*$M{rT)>YjshKf#HvvV2b0}15MI@IkFwKjg62o=cwS*v z2&`Bxn~3qVuJ51MFG>+vCQ^1Rbuplf?+jvkraa2ZGlX|;w{`oT z={n?AtW?7B^qlS8j|{RbnPod8s99qszXlc8_PKeUnzsbmWK0Qv`yE?juXXS2Regno zBLG>dJ3}LvHx^zexyFw6E4eb4A9I{+6c0U0bhsMIJ?=kM#=Y5(dBzlULVvBJ-#lJJ zcusckWs`LD-6bj8O#083gWbeS8#6cSWfA3PMK7>18B>WiX=xN*lI3^Cm%*n)J`X!b?8_b2l%l!1iZ>_Dg?dKtP^A^8Xef9j0#TFJq0VKGf~yqoDY|C~Vup)mRAV2;Im{~3yVLQ; zPB*Y1rv<>y6V`_Gx#{OPe+wnR-ZtX=&p_jJ;*qaH%|>FZbsx|gI>{9fFfqIcosvnk zL`y>{*)OviOWD81Z7~~23%LMT(r42#1be7w>h6E_8+n@>hCkbVbQ0_bAwctkaU#G{9s%iajBr3m zV-1bZ62yfHWT0s~t9fRCtuGFnCJCVFLeQtH7Z1?IPU+J%K@0#%^y8}oC~0719p>k5 zj}F>)j(Vk_hPEWHi}=w9b%0-Zw>foCNfzS>V!wp7pi&Ns8BmcSu6;Bqz*VjwQ%4*b zg`NR$j^z_v=A(W{_=dgc6tr;9mkhHz=F|H#X!qp=LTWKK4SRIh_*Uog7qr8fx zA?^DpM^lw$BNlh=@96f9(vq4i13XI;>X6bSrN`gXSj5#oU;h9BPuoZ0vY{-V4>~Rc zuaXpF0ZWulWHOYlb*u%CoFkQ(*?MH*eyFEL70n>0k|Ly1pG}eG7Xd z`F)pkV9!!NlI(Gp09?}7@fpY}X@T}PmUU1zo<>*)7%H zlR>UK$FH9$jbS|pN3c%(Up;(}+;eO4P6B>XGviX^Qsg6k(ov2tbmLxet_KO+Cb=r9 zK8m^N8{o1c37rfRz^A`_qp5I5K1Q$(`+`sT8*uQeGP_Im(a`@9uYHNzaC( zK^X_aVHR-4nnkKEJQ77$EAo1e@uZ+2%m$L^m-h(#z?IMq9jE!3m#NRZc*q)G(dl+k zbYxXm7H1%W@TT=uz&B&-^Wa)qa|0tDF_#w6Ok+3F@;Cv*&@M@!I)2z*YqiS}Qg0xz zE$8Ki+)!)d-j8L)WvngAjQ@8Zp5Z07CnjM}T&wlqrA^7>@Kh1*agtyn zqA%u%kI6WvLSs&YoDvOXY>%S6a#=kn%fGM)Nn=Xry5xL84=f$J=2i{}OykyLdFBNl zJsC!1uf3K&Tkz8NS6vvQ#mT~*a(`+01qI-&iqncZBJ z4o$?@zupnhoqFqOL*5qV+IP(C9yXfAg_IOO)Ki|)reeARxV#qm`g4v@`p^`qj_`aS zM*r296o*!6J1$rWOLtUXRKrZ2?8Zzp;Ue>pxg#8pZem_ei2g}4M-}KNK|r6O5U~J) z(p}CRG7`S62^sydUd0dy%oa1N~Ws7`&eMyLbMl8@HKr<>|vVN8kZ&M zph7=GdaNo0Mkv_NNEPQ6LawGcnxxy(!nQQ`vJ}U*`boHy*%ZOMSZlF&ev1NQjI|5X z{uABb8Om8Zef@6o3iA@w)pKcWCiEu}=Wona%)D?Y9z9)pPE+TLLhh&i0WZ_FMCB?@ zF05Oh-Qkbt= zRRyGKY;$&Y@~W((^1dt$J8-3a+kCgVENG}om@`ed{fWc*{EvW z)(rq(&rPM_9AQWHzLjqJI9>W)mNgsI*DLG<_<1%~q>T)0d@~t^OqT;=Z$8>a7rwy!a2E+FqpjLbO?4|h~w8z^#!Ec*tq9Ho(WsSz1 zIMQ}o%cu9wcH9GEH!cY#ahQCoc{7D>m)?pCo3OIq2WCTS9cN)m5s3Vt8h==RM;>oN|c~-I5l$<&+oVRGP_Fl!i1-{=W z&2C*xi%-1i(&F$-L-jzRK%!w%xI`-s)!bp+8mrmoOuKhio`~1$H; z;oN?|_IMd+0z17J{q+!yfwEoNsGq7EMrdan`8o zxW@6WSN4hmJweA3co+CfUGs);@4l`subI@!3GVLUW@YY}vP(viw&R0K@mS}Bixr2k zftHmusj#vW+{%Xo2ILTt0vnSGYuou+{RgHcMc~reOa2qVG3B2TTSm zFD3<+6crN(i%N+DUqPiLfePYsuU}dZ;Zfn-r3Q$Me**Ko2ZP**j};c3?`z~lGrlJA!OLPECv2cK<`(Bf-3-lzY$K^yaaLIWmYg%pA*LIXlKiw3kDopC7r<;9Xpn<9LmpCtc!(6j{b?E! zGiLTexGA4JEcQqLD@`;`Sxpx&L_s3U*(*5HUK2*rP(c7=4{GV$5XgW_W)#-M_hI)M z+9~#I37@xieGeQTC*dOal6>xn(e-x!=C_D>F?UV4=SPtV%HNVg%2J3wmx~3|xur?6 z?c>M-j;$={IUsoR%fa#pXSo6A@gXQ9%quOVC*aEfUc#rKC100M07M1LX?)1K3;#-5YLGK diff --git a/4-3.tex b/4-3.tex index 8896461..171b4f3 100644 --- a/4-3.tex +++ b/4-3.tex @@ -194,7 +194,7 @@ Zeichnet man beides ein findet man genau zwei Schnittpunkte. $\mathbb{L}=\{(-3,0 \subsubsection*{Aufgabe 4} -\begin{enumerate} +\begin{enumerate}[label=\alph*)] \item Normalform\\ \begin{tabular}{r|r@{$~=~$}l} I&$5x-2y-2z$&$8$\\ @@ -202,6 +202,41 @@ II&$2x+7y+z$&$11$\\ III&$5x+-2y-2z$&$8$ \end{tabular} -Wir sehen nun, dass I und III identisch sind. I+2II ergibt ein 1x2-LGS und ist somit singulär mit unendlich vielen Lösungen. +Wir sehen nun, dass I und III identisch sind. I+2II ergibt ein 1x2-LGS und ist somit singulär mit unendlich vielen Lösungen. + +\item +IV: $x_4=4-x_1$ + +\begin{tabular}{r|r@{$~=~$}l} +I&$x_1+x_2$&$1$\\ +II&$x_2+x_3$&$2$\\ +III'&$x_3$&$x_1-1$ +\end{tabular} +\begin{tabular}{r|r@{$~=~$}l} +I&$x_1+x_2$&$1$\\ +II'&$x_2+x_1$&$3$\\ +\end{tabular} + +I und II' widersprechen sich. $\mathbb{L}=\{\}$. +Das LGS ist singulär. + +\item Vorsicht, dies ist kein LGS. Wir können es trotzdem mit dem Additionsverfahren lösen. + +\begin{tabular}{r|r@{$~=~$}l} + I&$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$&$5$\\ + II&$\frac{2}{x}-\frac{3}{y}-\frac{4}{z}$&$-11$\\ +III&$\frac{3}{x}+\frac{2}{y}-\frac{1}{z}$&$-6$ +\end{tabular} +\begin{tabular}{r|r@{$~=~$}l} +IV=4I+II&$\frac{6}{x}+\frac{1}{y}$&$9$\\ +V=I+III&$\frac{4}{x}+\frac{3}{y}$&$-1$ +\end{tabular} +\begin{tabular}{r|r@{$~=~$}l} +3IV-V&$\frac{14}{x}$&$28$ +\end{tabular} + +$x=\frac{1}{2}$. $y=-\frac{1}{3}$. $z=\frac{1}{6} +\implies +\mathbb{L}=\{(\frac{1}{2},-\frac{1}{3},\frac{1}{6})\}$ \end{enumerate} \end{document} \ No newline at end of file