From ee4f53407729138648d8508ffec1a9547736591b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Beat=20J=C3=A4ckle?= Date: Thu, 10 Jun 2021 08:13:02 +0200 Subject: [PATCH] =?UTF-8?q?L=C3=B6sungen=20f=C3=BCr=20Selbererkl=C3=A4ren?= =?UTF-8?q?=204.3?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 4-3.pdf | Bin 0 -> 56367 bytes 4-3.tex | 66 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 66 insertions(+) create mode 100644 4-3.pdf create mode 100644 4-3.tex diff --git a/4-3.pdf b/4-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..a5372da783a0d55de4dc446dc8bab0d5f2ed1337 GIT binary patch literal 56367 zcmbrmbySsW*Y>^W?(QzBwdn2+>Fy3ekS-|!0qKzLmJpDZ?ru;Jq)S0s>Gdu5-uL}J z@4eUa-t6%$$6%oTbDhU^o^$@@G3U7$)Mez@K^(lO4Ab)ipHaD~fz&RRj;JCcsGKS` z&+ReA9UFDQ)Kdfk(E(-D<`FaS7croACES&aK6>R zNATuPd`r+|Q#*>``S8oaJ#7K`C!J^eL}u)gt!m&}j?P@eC$lCS-Mx=T19_ji?oQnC zIRxw~G-0Fk-9|K7h?ENql9&sn>h~>2TGe~}wN_vWDT#|ES+BY{pVP9iQYTEGVk*O6&J|+`auAgD+=oxYj25v~^W=|h*T5*q;-=H` zH(xK$&l`|v;h#tJ%gX9aNgMXHFPVCkDJDX} znxstJ&Y|*vW9NK=#3Q{bz`*%zE})T3VyectwL&+GhoC@=_G8WxAnE9NuYy4`kb!Q$ zvZ^5osh}dA!B7Hjfdp@-blF;Vt9ox_6qmGeoTTr`ZCg=I;}W&4`u1o{votDjaxOY|f>>9kDcVtUJwQVoUb$v5nm@d=WKt`lU z_uND6Dh9Z6alUrVdaV`rxQN;xe3^xwnQDIL^Dg|1HgsJ1sdQAgCdb7nsewW9mqLA2 zqqWX2g_ai)sG`L-_D<)6r~4sm+a)8YjzJR>gKDizS#<799DQQ`pRTv)p8I6LQ*oGc z_xN3<3O&uw5(vqq<3phSc(f|r$WV#comq@QTJF&PlX-M}>Ab)hxg;HbGsT%+<=jiy zW*tez;;5xS=dA4oyi=4j`}bw^B?raYReH&NzJ?-FEHgtyRxWfL<-wvB&Q>Qqy$Dwf z9r{=GA711%KA#x8Ucu8`*Q~>CUsPl%*FP+o{xb3UE1s7}zhwq2UNnP)$9PmU-cz2X z<1kQBO;(S_*a()+`=SMu3D&skO@yf@#988bot2bo4%Dr5_UV0RZO0$A_TP&&Bf?1-72 zpyi!BPHptfV8!4y&L%o+pjb*0!;BIk1$UsyP6V~l#u3x}JbVuhay_uVr)$|A>8h#l zVS*#*naLClKb&VMHhSZlu<%rt?H8@*-wz$%@4gMeF??t)lXb*WynVk{VSfjzoDM*} zc^9&$>{wGjJ7KujjB#mT6dL5;ZN#2N>G}FfUO<9WF2TgRtm6$VC#;syhoABAv&tNWF%R|E>PM)sL>>#)GGyDVQSM37 zV&z6JQ@maqjJ`u0yW+Ev@3AxfD%9A!LCKwY?r7#_p2xKJR6AVDti3Jp^Z-Gw-BsF9 z!j+;Ap5j` zOYU;96bf{vG7WTVJCfrUDS+VVmy_TZ3OrZ{coss6CXv##aU>T5(gWH;`NFxwJnetcThKwyIiF^gYnWgCkmNk z%Q4eMhP*<_c826+s)c--VxpkIKJ1z}eQ}1qq!Bh-+JQ8{)9)*PvB0dZvK2*d}ZkkE)$%Aoo7oCP?e2lSuUkg<_Smxoo;k1ud~RlhiV{>z{5t z&gq2SbV=GdKY0@me2ciOBpr$=k>F=t#tUpo3Ho2yz17 zg?bC*mRcLcWSt+kt~hBtWrk|}W2Z}{D<)0udW&hVzB^x4#Sw*M$%x+kD4DR|;A{GsJZa#L=Fqh2(>^6k`CK>q#rRHgi&(YS)YFS80nXTDNMuWW z$=_+KPOb^&r;A(yXwl6#6L!rP;Y(jiF*4TGdmBkKWkn~|ila-*$I7C2 zr_uBLO{D_SL_ySbj^ z;J^g(W=SscAkAM&V_YQj;^pzEHOMj9ExW?S{qAmxFIh=d_63G=@7>W3f2vifKhHr% ze_ekDD%vAW8f{ti8J99Hkm54SUDfgLZ}ZOUaWMv$yAC-@7llj6(Tt=9Da|i#pGevL z%0~CUeyU&ma$JVJlT!%vBQwEa&jx&k%i!rnA|`5f&|y%Jt`(`0Dvv$dTZ6ZcwO%p{OVFqZe{sQ3 z@XO9aR)FY^MDM;2`61f2^GoQ9u>_Z_O*O!7Is;2#^2r26d2-4wY?8t6AC#*f`tR@T zCAbtJ=ihxl#!=5sXV;N4S$o$}??XA{ucGyKQMY|tjg^W|&d>ZyN98OP0#3>ci^-%n zSu?BhP7cK0Bp0a}i5BPSdveKgAd24SPj;F9oGNBfcH=5K**5Di{}J9{O=lRjnIapt ztQTUjLx06|Uy+zE(XTS#%oqq(*~M-I1W`4fzQU)N&qOy5_G1Bcr2d2(3z95mEk+M~ zS>8k<=jScWIu82iE zj^fusF-^4Lx}Q*CsBpBA;0}*bPzOH=l+Y;ssB5yr%rY#4FK_xPJ)K91(Z!ChJ9gFzdNIG{OY|# z^}_aW!)EgIQ1@VMSf5s1>$Zz>aigNKikQtT4Xr^u+j8v`7&z6?a2;d{NO#wGVQ}{H zsanH3ORlYY!zbSH4b>y2=kI9!Dd()eqXqf~zNG%xA+nQw80X?P`MlyQXuaeWx*rxn z!)wx**H6R3^-ma^1j2(lvAam=O2q+-ToDs0*mV6d7sUBLadKQOgJ00HIkknM+kgDL zv`MrBns~KE<ibG>!Uo9GLVm^(+^!B})bZjeh z@jSE%gCZXflv;;d;LlR$G4f5+DfLTWBd!N6(EHu#C&F#{ysg=V)U#*Xe)c_x_EuoRp-=7l2dzEq}iIr z*QZoRd5Jwu&_=Jmw5nsb`O`0^QC)r_WA&!pkD=%Oj-Sx!%R?~nYQZa1*Qn#d>?)4% z=;RMNrgAk4*e|8O$garqWf)ARx5QT~hUWmC;8gQ4Yb1sA3z~C+v3QUedAhHZkqAz3 zDKhfmFt;{?Ns}{5nnuAI&ni1+I8a-v-J-ltE+-4!C#bBUvH!v~Bc9u}oUmD5uQE$1%_Z(PGE(9jCD-_h4Nz%MZEL^}*X*K){Q3Oc^B5ts z>0cXmZ~WS`)kFQ1zK3mM>}rLgQ@1s(_s48-tuo)WzJ$u*CZgj9rjM$(YIcvV7(be3Y? zzJpY?l&xr(#L)>_Et1gv~TivxVGqaGa&O#z)}HTzT86KIBW zWQFKb&_Wjf-v!~~=6m$6k)7;Pf(KzEo)|PCt0WU)b8+S`wfG0Mb^C@IAsd>|==zm} z7g96(-`c~N(Z^%gw$fHjvVB~>i&ostdT*MSqa}-x(?-A>_l-bQC}7ZUWGSc5^_ zH_G4MhTbqu?k576q=rhua(_OlKG%;8nq9Ym1|q;LD@_Kf7cEq z!2f9N!Y4qekQ0Y6O{K}EvSBK*(i;36H>MP?Fq8$pnyp`n9f81^cXMD<^(Qim7W@l- z!C>z9SL68N(MWwbNFuv|!y3IW#$P9J;3FLJQ8wn?N6p4uL=**I^yVtsDR-J2%g-J- zj?x^ExJYAqrA!c;!dOr%DU7uo?p+Bp+>sW(j+1Im)W^#uXQy*wRPqc@ zHI+w>P%bd$2LIcF&)(=%YVcghp_KLsx_$0UW}q;t;3X6(1ffX5&-G|2UXK4EMfe8J zn{NDFSj%15wx#fW)KF}?bgAh-0=K$`0!?Po4zpmWO*HoEQX^sKx1f_0a%NeY*m6!q z43=4s1Ru!?Rdg28k2XQQ0DuD%Rer{J7T0JN_s`eqlC1M!tAlsoT3re z$iDvj+PQ##Upp7yD!KY85^NOQ8`SY^7O4 zM0M|E-OB326>99+l5Pw;x?YOBvG#N?&`hja5JeD;^s7!E2p*<63wUo6U&Ixs^0EK4 ze%pu@l*|t1(j-c?5~fIgdxZVHiOY#POL0y+^HS0kt76r5)@%KTgol+;N!cRmKF$(& zkdUm_9BG&3V#-3B)UQ8?LfSw)>!PS3ic=cpmn`zm5B247-h!|%jA8EI0~-p$Tw>8} z@-Ez;^iblc0~q>k*q;yZZ}Iz>Ls1q4MOiN1NAD_~sXE7A_20^_Z1j?BqD2aFs#^i+ zairiJ3rOIFJ(+WsM4jtGqS^sCq*~+QWC_?2C_FK+L>(h=;s3~qy7wJHxow;Opk1rgdTJAPKe>(c z>RN)ISaf&Pl34qltZqZ@T(r(ir1+*HPfkMC&-I2&)%od7gk{)0VI;!b&l2A{B;SX8 zbJie_)$(+t(?UA>b{X`Nzwy`VaNxY);rNQVX=_Ed)YvEV{fc6u8@MD7om?n_as6E| zkig@Qq0aA!1SCdSHxohzn{%ok2EnLGr+6_FIwEi*3kgOh3!&=Z3q?-M_@z)56upX6 z?57#yZ$~!vB%P zZ~p^rKW}@8&jdFT)fW43zQAKPF8m3BkODzKorn@81i=&5@CGo~D1PkZS{+^46efxt zFzX6y+*W1jHzgGt%Q?<{vAJiEW!Y6t)*cUi2HMdK^14+64LH85OV8*WB7LbKsFjaI zxq{NuDiuMB#B(*kZ^&c%o!|8Q{chDA;fb&tfygIZa1LDD`0#6TO5iX{asKFjydQko zM@*VAskb(4!qhe!MP_DeqH?3{DSEAd08RyKD7rx5YY_kA`P$^qAdN7M!U8*Yh!8f8 z;E}8~mP9)=JXnsUiI!X-=L>ap95gRV)v?oNuM93qM10q$J5gs1miJ--1Z$qQ&$Wm2Uo0>)DQzAG@ zZZXOt<(d>bq1Em(XKZTXKEiIMz0zRZd}la=wD6r+x#se^y?w5!XfyFUFM&5mYv$%JOIzw({0#*}Jzy$_V zz~_+nD^gJ4=Nx5a$RE&o98!xOzsr9^b1nJMN}d*fa~-TnIyxfHLq12-$L(eCPVeRC zJXg*9HFYtGt_1v-b;aLzykx`;R9U3Oi=5>SFyD|!+QW1M^#E^MVO$$indc)07&kQG zG*v4`Z$JT=(cZipa%YrjHcPX^dqAl$un<{A7e+ z`Nr?4y|2w~3*)v){OZM*FGe-r!>VO0%sNELgCrJJr%?}h7NnLFxa-fD%q`5})I5&D zf}zL(B|3rrfgC1(>=H=c(h@@U9--S73vsTPuFEGlq~71Ae)?@cpSh)E{mrGu88Qhs z{#G^WgYhsDQ%Dx~=xf;?mOVE)l0AfDE+NgYYb7rashW^TKc!UBYjOD-PF)AI9kP&c zGG=RNo(gSwNP7-MO2h511Mq}oHoW8mUOOOCjLP|@RR5gT6)x~l{}EN^(hfY?cs0&X z*iE%dwDfE9o&UD7&jQR-(tZw9b;1JP>I<~sq@>x|&{AIZ0~ie_8)$MstJQfQPk-F? z^V|*UKy@IZ1sZ}DS~$LRjTDC!9`zcaA3>3R&rQ(R?cg;lahB_WKR~wiLi8npQnZp* z>qQQ1HUWC;g$aHk1_8QdtB46cG4ZxI5D0t#_jPwafW;Gj6?KO6JoJDOBfv;tDga&# zn5+Q)JV*|^=cEfp?lTC0f@m2Drk9G4=&+*06=c)NRn;Zx!i(=J6%863x- zZF$%rWl0+ySa;YZzS$&xApEYpV5_aHscbie(lKDL3CBg&q&e(Io-22LM@f^UKTBXk zA3;ZFyJ+F6ah_JJm-5HVcf#aN@NPnx+8GkkTGa|x&_{g>1fj(Ihv{&#(}DX!IV&=eV$`&;#QEJcerX*iVY z3hDJZZYezoIKgQulqI}Zp!?bT4RW25G`)*VBl?^bau1y|oYkb54TFIQCO|v!31Sey zEhK#&imuQqbe_k@U2fh*ZlKQZEo7-hhhXLY=N`gC`;R@8uK$QV^uP`LOmzj$>v<3- zOu83`+XBOlOYp)eanUA@1Cvh0;e;cd*1=#v`8ekO<_$O~xcCl?1(tk5`T*W@yWB?I zh6S9&gakoZB(&O_>+#Uf4f@2*|9g>0mUz+#T6ljQ6s!MOBr%!$V-5;&a5tvR9h{{X zwgwjc16ZEnMiTd~FR~mA1_!~B{_7Y>r5cm`eI-25DrxS==L6@dDM%#^F{9q&vyC&v zPm6>&JET#feMkLCy+88G$4%5v-K*zSf|wyCLwtf2)|)NW%{hkyxV3TdCFBWlHTF-qprrLsO48#jYiaO*R{TJ2A1*!MTIp<6_+ zu1CLaJS}c&%A{B)&)o|pKx2JN;!=+LB5@uqBbeY=VponUdVI>BBX-nP&RIo{S`jSC zVb_|fwosMU07W)vWit2UeW;i5fB5DR-~>yHOcAMF1P{FDeJ^y@MS38{FQKKUp`lOq z$>$LuwS{Pq>Stg-bfDQLw#|@uBj=fT3D+plIC%KLMSw+Nkz30s#`Zi8xTigMzvsfyWm` zslORS0v&PvEg7o84I-bKxl#LUiFP?byX5qUWcK`wq{hB_ZT#YII`gPZ3wq~qMomS( zAyqi%o9Wt*Mkcf&bIwpIeDHZUv3OQstsIC?sXv7O+$mM+!_MB8XG!hn>d(5$V#}ON zTnxf-TaAQ6R3zOD0ezAl@=x|9sSts$Nvg~_+tfX42|DC1K!U-7RTc>TGerJ zz`-4?Yits;5o;<4jWLmEevQ2$g>(-PP>emX#JN;AQe@zkn{9fkIvgER@KDs%)D)&5+ zxh*$(Uk-Jq!Z9ek+d6<`ggAy$1s+$TJ7}Bl@X&cWaYdV&b0;#Mgz&N$$DP#9ygQ&J zp(dtFz={ASqPLuAmMV!CT@~iEZ)r0v#lcwPIV)O;uNxjgG?tAQAwssSd)3D4IPW`* zd7dzLD561uST63zV~XdLC?t1dBdimZ093c=d^iA48{%}03=9dQ@DgKYeqj&{pP3gv+ye28Lr_pY1N zuzZnall8y@E|-($ICiqG@V1ZK@fi)>wif)^f?}E7VdFDm9!$kLgR|VzV0htsng{tS zixtcB+|`!zbq7<6X&Xzk;g3I9g^)v=Ue7Eu^Aw)HtvMijo0<^Y8njFa4 z3pIz7MR-UXgj7BLAzYH~QSjWuH02dEneXZfnC&AkX8iD}dQQpu+m2&ADhkK~`@jM} zCb4cUB;ZiX_Y$czfyFtmH4rACYCpkE zrh-QrQd37vu$jyXrnOdK*Db_VuJiGStEF;9aCLKr&jwsiw&+`RXuYOL;R~ zbVCSwwb-^`U)5kMUs<$TZkUrN7j!U;*Cb+baQ-556W6SH!J{6EE>Osqi}&#vU3Oad zDLm-+Ib@M@OQwtA1bisUnQ^RC7^4Lt;A-PXqB65csN2Q8E!u{37Q%@AC7sS$u!gRa z9lTq!9Hj9~Vt7<})GoL-g`fYbZz=G7SoIC;>kI9JbN(f;GR%cJ#{M!epkvdupCR`KMND*O^9#VO4dcWq57 z3L?&iTCZ`8Fx0m@d_{ETw!z)FJ>2p+jJNDxOfZd&&x{*nFDrLQbrZxiYc8r`Jfd~R z#a&D5X$Rz{NKs&$uDZt03K40RwL-NB-v^m9pqg^}#EZY2N)G?Kmb}oIg75J$Ep_^@ zrZS2Vn@Y0$XGlvvR8fEo?srSMpGKrm+o`5>0N;DRuFnGN5 z$<$b;TU-8z(057SFgozBB6ObKET(OYox?P<+s13}q^~NGeE1nB_Ep>r^yRCWR>)G^ zPlO${&p(ijvCse>(!H?p5&jB3^&-gbPl#yF zwrWHu=K@?0v4WPcWXp5G$x0u3Q=K+i%!DYdiwqLj<;(0^KE=(0z1tm5VY*;87iTk| zhzo^0K)}bxK5o8wZXQjbdM&_`4i7reEgb_Rq=pwcI1kL_%alu%)AL%=gwQOzto zsc=@C<7FAZ4ndmZB~iG&G{P%=4mBc#pKxbXhe7k;YcLkcBDfAr0}i3p`mt}d2F$;am_9k(#Q z&Of0-c>(`FQDY!c_;>F#g1;EMbOeWsXj+x$bcXo~poMH`5SeOd$h?elY7c|8jx&za zv_dN|If$(e&-x+@Yq#zk%st^(O_~21qw0pZscxyK5la|Zb-GVC(ZIQYDkR&AIGEg> z*qW!O@1X@|DGzfRNw7aW{wr=FO|$^cU1Vo(VDAkXdCsf-@fPfo7}iAFl_b+a>Wvi= zl4myQ{Y$hqnQS$LDZ6HhcmtoGLE(js zZ8NkhrH}NSXGjMNBm${&rtmnQcp0IDtdd!KEqpZQG?Vvw6JO%v#ky2rKeeC~Ihq^E zwGhFqcSKz-SJad^nos9}xp%_<37c$W* zxHix_$j;YJ#VD2sG}Ki3AsX%@I??i?y|QoeHzjl|#1JV0i(B_bjjIIe^R`WlAh;hg z(Rff4gGLyThV7r9|2`BmFje;);xHnv=c6k$Z{xVB1t%9aSW3Y@Nrb6TL63~$;%a!p z`m?CyTenq0CyZ4BE#_@kIEoybLEcn7_`@4X&Y+E$+dx8>JE8Td?9OszPr}h!eHRDq zBm>tOChp6R)}tigfMY&uIV!8k5fz^d_ohO(-o$EJaT!Wn)|@h{l0X^FEo;M&g0Ej# z*(1rOt0gr<=3y#hIo6vIf($8AiU2re+WgrF8DKZ5=={VFqqRC5)C394CV7axl_qQ( zST#j5Vi-K#P2FYJHFXN^Sbm%iPxVaAKQ}_r3JP_AfR8UD{}s%EFqT$u2;9nl26H+s zYO3-7>9=LL{dXJT8y4^m93PbtlKui7;)#Iy^Q}1a)M_L+0AX5b*-#!Gihl;;dpt04 zbI)>fX#mv$7TnY}?-DGBb%t#mQMX^UQb%nYb1q*7%4bgNEPF4dsNwJ= zty3%bLnuvJ=NqYpf>24ew6Zs_(l6m|#UZXBnCuYD9}Mw4r~nm%5aR<-@e}K3P_TB; zt2-*hUGO={6&M73$U`dlDN#;^eh3bkN5cOG!}qOQz3>4HUb_Q>#RKsFN?= z49(f%d%RV`4O;lq^g*=5vqHf8EAv_@|EK9=^q99r_KoBL>~aT&ysBL=)dTn#42Dy< zfTZJ~&O7m4@a;Aj^soj;8`vF%WgZH~+5#gTiU-4Q!BO{g2dj|h^Phsnr!Ae}|61_# zgb*Sq3x?uyaq&LBP7hD0dm3(z9`4^KF}o84e*=q3|I3b{)fA6J#lsEw)K4BMcJjnt z1U0^USfX4s9D8f?4CCnFz`@GXBt=sprBc(9MJJ^>N&JeqT3x(>2hqB{AvzgGkm48owRQY+|IQj#cS0USo8UrmzN=Mu)nPJ`%c;1(!1s zArQ{L;i2gJt;b-BFXEAtQMZ!7D>VJ7{G$@~MM)$gFNGGLNe8tozh%|d3B+Fp_gZ$F zh5fO*lziV)=UgHvtK_FG59hD3hH^#*VUD@tS{f+2+oY46`eO-IPT_TkZ(bWs}!yKdxftJf4-p?dh}=cm6uF;j_sm#)+bYR1#LX zBH9Y)dQQliJA4mi*!cJ`Q^hbr3(D#r+eF9iKmQ>JAgKl?)yYXmaLvg6 zu65|R>yC-H$c64)Gj|6mWk8uS$19XHzgq zr_!qgNVIM)w3hOKoEk6H>!mJ79kh2MYSO;o=sf&XA=QyIQa!~S3++C`tG1UEI*=oI zC%x81ch=DXhYdkPY~8z(@Nz;7A|%Em&UNZ45(5x99kJX^c!rJ8iQaWxMAV(rE+{Z0 zL|F1y+DHy%7#jNU`)=*IOSa0r?*{hbMRFIa_P()IrzQQ~cZfD^wojl41}*6VA0Lfl zpZ;b${OklNAJw=7Z5Z$ISphXeWlp_y)Va30=Zo*zbGw} zIv8c?ZYd#X6layM%T|S7)sAp%)Ik@&%iXxemcN~cEwBa>W7Sbgr z{@Ul?9dt95w_f`E_*kA0yWK7SIITNpL#HKFmMRvOCNx`|9-rnj3APdv$4q_&{8b_L`G=pKNo1;897L(=#QlliXXgMOrWV2vi^~EYaXz=CwiH-6yXK?vUX6s3P{dCF<vCZtWv-abcb0zL`{;Yjl@~`Jt7zu41s=BLP9~q zxFkA#Lm@@oERWvG2XyXZweipWhJGeKWB{nTe++-~>2fFvFC zn*7CDm=i4}iI{y`0!JCmP^syWT8h3V*`k#u8b6awTENGz@x@6CF}xKi&6#}^ODXR8 zfJq5-k6?g3Tp%JRr$g(ivJbMFIjl-Z&2+MdqVCq-n$Ljv-Ph~(apGba^bP2itIf3j7WZpB=v<3N*9VBiWemKuNL+rZf|gNL3*uvzZqQG9pSIyL793A zFbosL_^)QYK7>Ytk^dh~5J`j|B$@&Br>Oh7|LV9K8IyQJc>z!iAQ12$@bmwCS}X29 zYaM0kPk?^7D5n4UxB!Iz=V*a7F@&A@yUj&kp~HayT10;_u&pa?3zUb3Vw(IDiB(5L zF(uToWj7vbHfy@uGknVL=}l=0G$T<HsI7g(Co0|AovU|2-NL8@^oV&czKwQ!2ph=J4&QvllU3B%&* zxaAS2NO0Vj!(fSECCyI(hRNgIz-t)vAtXrYD#6(LXF7*xNrvL!@k3#mf717Ip6+pk zh1?ujM}Z+iJTMhS7FL_KW>37NFAx7AX|E=l5<2};zkK#<*hJA$(G{})MQ!?1+7=By zY%yCYM)8cNKbR04{MMaqc@{1*wg_W43~y(t0s^)QWiFKl^ZhnC-nprEeeB}YezV80 zQ?7gQHaT#}O%|Xoq5tXdR^XD_7^}V>M^VQg@jU(Gbr1Kr<)Fb9NeM{S?_!^Rm&rkt zj6`cJp@I;nH$tUXDh%G0Pu&xpIPR^$o{(ll5e7_s9L}#SBc3(Euk{-TN8x=4ag3A0 zjCY31H%!%A`ja^|Jwv!=CsYiz&h1b(2^13I`qy`QJR(%4Ce&eu0Jtm9x=_zWC3q3@de<>J}0TvIhcou#52dF=`nfNLS>;6?73PIk!CY3Xvz3|TS4 zcV^+IzpN-?@0HEQ^dW<4T5koz(NZ$ z`sMy-bk_RM(XaH(|30?!0M`S9h=_d&Cv|USZhp50kdfekdvy;7900?pfWQE)7|8Xw zK5=B7c&R0RiE=n|B}yexfYzP*H#oxRdnC$lSQyMAKMMr02Ts-BONb(#JHxqQ-$`RK z*r!WMV-x4*=OfTyOQ86gi@3J>xgog007QW)P-eIJp)r!c7Vl*qu>1jc>fGF7e!>jvuJWsvTUEG0UHE-S1P&q!Z3!b_0UTtmRY& zi$O`u)zSi{8UVz|;II+$L79`*UH_qJy(pSspH zw+O{`@{$7ozAXfxP!rcb2(HyLfA#Xjop90_;~`xeRa!>#M%P?(R7qB}Iw5v;{Azyl zjc2NM2dvu|?Pt+ji%S!X)cTpb%C<=phg~NAD;~z@EL1s=sdN89EDTXCvS`op{>j}a zT~VFp6)$ZQ$BcIm(Pm~}DJu+3@;->YzpmN1$-Uu)JAs2|zT?xXT0^=skL^B83_^}( zA5Y6C4{-@uXu@lO*;xDzTVnk>vhzKfVyD&_$vr8M+afVT#Yu{mBe-jZ1~hS_=F`F0 zONHxd)vwgcIH+*_rllyn-M@o~iydUkUL%g8&gE z!I1@>7W-BSdI@&}f598KmvJbRCx-@a|AZ_+v)tSe)CB5I^J)T{w1K>Oe}V-c!tXNL zQ0o7b(J`vf%IN z5^qxh^?}1w<_Q+HF6QfS(Ok9suzew?V5IyPml){i#x=RdA;y5bN%JZwi-rP!Ts)7j zl1yeMl=>tf!x9E=$m0c_68X3AjFLv~35bpe?%0Qr@i<3ORE-PApMSKn$wd{0j>f^$ zDKc__e+1_&!rE=cs#Mm4V@duinA<4fHpdE@`6@E`PnYWdBj+B!n55By~BZ2f9{$%q~>q&D&*3Z2?^B4A{ zDyna6T@ixv(=iz>eI4vPZGn~5fxJ`;gqTEKj(HCiFq&@NzSd7rek@#SJzFtD%PYrt zI*&N?OHgG2k<`cKU?U&AVLcDdcoXJ+-MPUIhU1M+g_2eTpb;r#=Wrs0UU-!KZ6UkhEEjVWn1)zW@7tiCt({o1rS+6=a;KW}9=!##Diusl4 zgaHvR8y*}?g6iqUjL_rdQ9HjBTuJpU6_dhbbzFXUA3LC&Mlqr~oDhs!?E; z2&zC~unL2pcx|0!9 zF)q1Q@I}zF(QR#9X9**X=?S|Pd*K#&S^d7q^Ze3nG2oR!eQGFSt9No#jL3v!)i6Jc zKXi}eGTN;XgLem4O3+IK<%mH;+JA7wbf&xh_yU3xPIwMr_${JsUbpJgMe*2>b9gOe zyWf|C91858X{cKY(4rK`D|(m;*BSL908v`XVd|57CaQe zd@>PMP$YzcwjjQL&_v{&fyZfpu1cq(2n;HyIISm46jf+#yQvnCAurgpRtlx!bqZ$amn^C{bZ<1bx z^(0Z}A6^0zch4h5qM*OZfDPy9Z%qGJJ1$N+xC_d%p#Uov*W>Xlb>^=NK5s)q$PVdz zIP)Ez=wze*UpIV;u9;tk#Zf42Eh(c-&@zToZ7aBeJqqQX^aF+j&|ee+GdB%-FouI| zdA3FmP|xAFbH7o4YCz{&THktT56*TWDwp6m%?Aod)yq_S?o3mA+OjF=m4%{RlsMhl zB9VOGt72~RE3vsOTMWFt+x=P^|M{Y<)l4H(BI9)8`z7Bjt4a-D-l@%w)45@5P$sxC z%Zp9FYeD%SNImeF?DbdK`8J#PixoFdMK_ZOTHz|;y-r{*%@&aV$p zIuvNyd(-!>G-=lZSacl|7k5zO7GGoPSX(UHIJP3zqO%o^v7oG%{p>Tr1cIn|$I3@b zPhTZJvpG-Mo!DoK@Z!NZgE2H`leV=~PIO{R+=i3F@R$;lOu>8n-9LN~(1VUg7-Im8 z!*8ED3*z9t!qo(((GPK}2g_(}viCMg6zZtwsRE-4h z--?!g62kLzB^zpZTg=|*@b%>-^1ggbq-0sNslR)vulHgL>n}Lbya>9#>nR8Yi$RdN zw@0V7#`zCCzi|k1%fTI6>5qm2!f6jJwVWGAS~62wU`uEPD6JDoJw+ore~op zzI(Uxb2%qJr?z&K1BpQe;+Ep{DsLVI1D>+>T)w z#(dgzS2N!9HMdGHp&#StzmRhGgZb=Z(FR2hC=AT?4_L-|8U*P|;t!tM!GlDk+HH}y zP4ZKn6lOUvidp8R^K-aTr1FpS6{Li}$j@nbz{iusEHFJQ$B)4lpKiXJsc&Kbp`anj zkHAjAt_$&BPz(m_UL2>zyR4)z|7tG^*tJX9i3^X4{QtD?kb$|rY_tSvMF#cw=&Qv_uM(>F@DU9y0oDWuZTN9rh_6M@+pQL<@s|gW> zXQT+mY&6C6%m``RuXarPb!-@K8SDLgux_G?|5<6`f$Tt&=?tZ%@LZOMP(65rhL!l| z#^_SQmG&m<0}Sesbrux;px`w3KbUs$oB=6AzO@0ct_O<|w$hi;>oyWj5(;1B>Z|Q5Br>VY*5>1SE=ja-zMh<#Z5Gq_FfyYa9eXJ!2L+zsM_iT^#1G^B3Y&oTBak}84>J; z&e9qZGdpai#un_gnZb$~D6aqtj&nh-9zQm2=}iB=jSbntoW;oPjPjqoVUs1K*!q88 z#s1y)p)N1UFEmdhXO~~1b8^7(3RrtXw$goPZabWp;V_!qw5Ul&=2@v)IhES3Y_in8 zokFJezWzsX%UoO1=BRGTe$D0i)_2+H%Zc#iZ*s>+X-Efrq=hd9+@$K|i4!y7>QVOc z?Ia$yez>Amd0ip)61pJW&QP2n%Vf&18OA&f9$K%HeKW(3Q8PfuE~mK3<>eY@GgN1N zHD~Ej-0`e#$-{hnWp3WaiSJy0aE$iXdG(!j&ygsh?~(}Z&BuE^4&l~Rv&Kx1b11q& zLw(@mQQvv|kJ(9x^NPlS9@3y|%aNZIi_-vFhx;oMIutPLBWFRrY{egPkH1IYdl63B z4%yY~YrNHi0ep?L<;FwUl?3 zPz)>Zq$lWZ^JTfDb|;MQx$0M9zPUnPC&ZtmZwoo##(3+y9U_ziV2iJ`p$xSMLP2}Gvrzr4h*v!1ZlXZg8@6~kpFuCJVC@m4_faR7tlbW{iewHOP<-~=EurpR&)o~)5-R8c>pWvWzzuD@@Il&x}NzZ(8hHs%7j+ z=sy}HkZBvxmFnYv|3k2|gQ<@v0c*F}!@~N6!~HuF^oDEOy1Q}0dGOI^+)#-6!BR}w z#HB#uv+)=^8EZ02s$tK<$gzNNZHB!7#cm|H6?G`iGDs$Ba}&!%sV0VYuERtFOY=C| zZ8fxb-<^D@!ugB*yzI+e@;m|Cko**yq2G-H%=}{v?C+ZaN;~$^U)lxg0#vR* zI`ReJ{yiAXZ{0`#u0{CxpI_uyS>{;T|G?7Ve~4iJ;_pb|{zU|<_CGTZ|3%*&U}LAe zaxk3{0=tRUUwnG9UcrR$(O-Ra-`G4T?6+hQ6ZTd`0vp)=U5w89s;B!VHwBCOvqqFh zp#lEh=-$E5EPta@G&1@hZg2fv$V^Ou=LpW)0(D%c+hM(dm*7qRHQ5@?p7nqD;uwYX zadHKKeT(U46xw|h+I=x({*`0`JWA%d1-5Qe%G!{*(3;rY)VTw5on%jBz_+WmGc~=( z2v4&ow&yvpj)tu6)*K!Mo`XPsgQr`Ha#X4ejveO2Mfyikz*GEoH55`-`j|ib+OsAP zCYN8(7d6=e@`VEgiX9|)`UTfHnuw_|APin>7)y!TD4`TwVntMkaE}Fdyo)&JJ^?O$=k>8@b%UIO;Ak~|7WooiO>!Iy|KOnkD32Y zQ~96zh&OWJt*87?eT2}zHqK+K|Ihp2FLEFS7yFKoY0z6hPyi)|)2sW*catCfn>WC& zG-}cNO(yOQ@cUDCMkOTjj)@ra8#4O$E&YZQ{!^IQ@RvCIS_=%tB0K{+!s*d%NSGy)ZdpSA#p{Pkb1BU^U?tE`KDxV!c}!{E3U zR>*#6B>~*7v)@@!55$9{uy7Hb@e39OP|2&oF}83S4xVjhV_>YUlWAxoh9d6;dJ~GS zK!x$`A>NzccQ7O~)8D{J|Hu6Pxs?BR^ZUk-1QWj?!H@bQeS6h?bISmL+x>ZB_4~;) zy!Yqd19=>OqsUk{%lg)J_NMlC_%Blj)_-G%Q~!gt$$$2TMDndb@Bd5~^gt-^;LrQZ z|5MQG9~+Tlk@f74tvF7!{7kZLN z)(3R!pL_H5HCpDcGn;fh1pU1Tya(t${*4IyAF1fSj4l2*spyU2dfSEnM+W-Gu>Xe) z#02O#e|_zFYmtbN__L?OJJ^W)y)nKA*Zzh?GBS$!&8rnzq$`&wHHef6Ytjh9pFM_% z!dfpcG4Pv$6kMb;B-aPAP3Q!rEkkPYicuMDBhBV&+_&AA1nN!!@THJRZ4y!Z}E7#|_*{-z6trMo)L z@)Q=dgw*nT!FUg){f#7+IsV4~|6x-g9`qTLFxL&FBdgL0-5i4ZpSFIVs9Kl#)Cmit zZAlh!!}hf7Cgov(LZ9RK!yZ|-eV~5EGm8-ildeg8Qb4aM*SjOILP{_sQ^A8EGj5b6 zNxytkRmY2Cq9u_jXiFioClp2uS9h0a`nM>nGTnY>Z2!N+Hkk%1#Euvx%~8Pbth9*5&r%C^mW!z`S6hw|f?sRU#7p-s>` zL1BIetg-wJp*bt_d>zwUBKU&`{;2qeo|^qnBKRMO-k?P3Uv7ID|JU1|?>$s62;{wY z1QhncBJNuYlO7My=N_#07uXRY_At^Jzb+Ghx3^Eviw}?76v!habdPsV7D(Wo7>lp5 z&l|MIVML-3Q1Lr9^6r*HvY&hei{Qte@W)$1vS*NsdWMPtn30CRC7ZX6^~&$J@n^AA zwAJ{Xk}xy#J4lcDZ6i{{_eXb$%}r4zfOZ%Xx3S z_6{Ju@LRujzh*pxU9u8+LH)2vA!K^hGu3^0YXtJ+m&2+98++@00>k?&`v3==mE@=Q4*8oTv^<1FH&s@}@ldG0d(T z|JFcCE*2J@djD!12DJ0)mtwg4Xq$WKM+nxTplx2Vw=>JbqqrKgZm%8JHJ1W(7&x^d zl-)kOW`nw*U4zhGQ>@bu@r@;Hrs5O~q%~aZ-Gsng9nInYkN~(dPh?1}A1nw)v)V>N zMyM3FQpQBnl&s0eG@h5%N5Tz`?cMZWzY4Y4k12z0H8T}@^$`*)d@m;N0XDY3adCN@ z@Y+9!H>E!=w{K!gHl=@RB3Quw&_sOrZ>T;Q4P`{*M+4Yz=|`U;FX@ZlUjox z--yFFuT-xbcHg-J%vV?BI%lfgdr)_@k>e5loJw6tK}skT*m-%NAV+B|@SD%1SLByW z@Ke`d-F6P;85w>~ll$_`&6){f!gIkN=H06V6D00rg-6)-OwQXol@28rF_SnlK6~u1y-o0^Nu?MGxIwrk>%~s{7-K_(tj8V3c$a;M?p;m zo?Gt!hoP1gN|PU=eWVMS3LQI=^y=>GX(|q~~0HIhgi;j1ACakY7A;THF(` zMz>$waT4$d`*_PXr`u5I^?5BL->3bX(vTDdkSBwE`??q`=^zGcx~0Hyu)jdnzs%W} zGg!G>8U&>qf}UAa(NR%n%sDTfx9@>fQD++QF<%|hJuGZt`i`);@BtQSuJsV_G3o6? zKTp@-TfG?f>Z{GQr5QEo#IbM7%4xGYkKPJY{y_dQpRkuyrr^EB^$y5nVgApXl9b1L z%->i=$Uk~dAkC@>V8`KpTi2?;shHnXRm+MP$m=$#CQgmb@}u3&`Wp@D?Y z39Ju@67ns0f9q4}ruCTF@-ZY0`%-qN$VCS!3@UMDb324}rYM#M@9^MYyZl*tJfzC{s z_ihz$fBN4_BP=Zcc@@CwpFpbr+~)1Y6>05_=JdDX$StTU^gk3&|HZ)>U6}Go5^N6B zMnzoiv-yd5)o{P6)mB8O8B{v%>u8(J{1&2TjH}D0CE#lIj&q{iS9eHqJZXw+h4b|A z^iHVnC1xiEH5> z3t>YP5)l;&sE9gXbgo=aI`&>()z_P9RccLkQMd?GSe0YP>_FUOPy9DaF|OyHVN{K&9WRM`HP)PBsIIhde` za^73;02ojKlC7NJEde3{05tj|ZiqlA751&&8mY#gO9T*C5B6k@4=2jYj9L{u)oeZH|Cm&1``=^jBS5hFb5(qg-qsCb_HJoDwF$0j!U^0N$OqmF`Ap zzzd?ESBo9%ohvblxDUQHdtqQJ49 zZLPQJKufN(_fqqtSPu`tSOD)?0I*R#(WQdP8MH*QF`o4r^xCQKWn{!<1%Z~uPx?wr z#Tb1Ca6N~G1-L>4_yUmS#L>@?o6hb{GR1Tkv-w^~RS~R%0Z%kH2*n(aPwdhOek3vVh#palFGw`-IZa5_`{Q~ZMK6~Hm znHr@)&EBBEgW27MvwPnoc*Bh2KnC-D&e7{4U~Z-(I_uKsOcczpjYjzxmHy`bXPU9i z)Wvv_jL;W)knKs;Lkzv5bAX173F0G9RYQq$a$%Rm)D0I9UrImwi=z$X31|xrnGD)J zb_7-WZD^Jw4)c*^P;^R@(Y^ZUH{a5sjeiR8V~g@F|4Ek-8A(r^k^fxVywQEj~ zlbNgqdjyNh;z?r0@{2Uya_OTVJDZ8$z^h4%+R)G=T_+;rchr7_%dNUbr;t)}iyK)U zw_Pt$x1XxIc*)rAQTb-9z%P5r?Av3-@4ksuYDw@z0am_yQ8pldD@s*O_ z-K1XLcVQ!2kr~`trKQ4he|$79X-!!dekgB)s5q(#)GbLMdq_bKtWv=qYj3v8QrvD# zl{q%bw^wwYX>2phqP=fc_gK(#bD7yfG|?Xrf;tp#qnhM6f?>t54-)0WNK9|~pvRqw zKP)*pNtzqB)x_VN2s0l|lgO)j>1u6ElOVN#K?BOzJjJ+MmG((vgW8$PF_ z$|-AS;=8e1+W69>L|0SR7IxqfsLoXlm&q8OJ!CWvTuNxsr+RF0tnm;Cw#QUC7+7r= z|H35PwTWsipLt4TOo$8-JaO6e?v;RX^^0%`m}t&-GpnF(*NR)j5YRXBttGG{>sP|BI)76PBxeC_ z?}b{qL#c!NjOt3vgORNv0jGrwLZ zIkHTWkm>>NDCUbvpHn);s_DJ9282COlfYC5=--TQI5VG6`T~1owYrO}Wq6rz7};jF z!Tuux>~~7DqLtt6vlsPYpT*YKHsjc!53C8E`GK-Q{q%->=pEEp3kQr}^gc?uqn`AX+A z(!QxkBGu6@S_KpoD~x{%XE2a9-in=jt2$~%wnF#hZZ^|(2&9A5%!e&j^ieGFWka=W!QtFefV9E7D( zKdv_u_kS}HfPAofqLQJp?5!%*wjYrH#bcZ>RyuWW8?|b_9ysR5B5fJkM9bu|(}?!f zVS~DNRHCdWSd6GT`h^3>bfaaH`Pb60qBc8Zr9Zv%4`Q9py(G6lizrL`04K+o>vY3V z`fDtP3<9gUF{zQe^$hhYw!!D0!Hd%lvV>ablyF8vKI~TU=cjQ&9M#OM9l80}JdbOx zy_8fO=yjirE=X$bPlUR(RKHC6t(M9{T_4zzs2YV(<#w)>NW|?~nGbz&tn@L6i!vI~ z*JUO57-%pFQXA`m)1Ee%dTJ@eV8qZwzNGCYzEQ~D8{A)M)ak%84J;rnA+1txrNulM z{OojVW#foq>7&yN9y#Yhs|%Z&FDkSwK6SB zt>^xw%N}HiUMbMJC_VBNQik{Pnc|e#2DPpb2a(wq?z!x_Hoysj04{9Ch>ht+BCQPG z!#9eNSk(L~5u7ALg{rb`U^7KmgTJeLNp(4$7!(s3+x1+|^i;t-{hpWRxFLPdG0>m< z7FRiPh{opfd7^0ZgyRsqp8XP>(00K|q#5S%tb+!bwp}aLK^6R`f|L`Od280mn|Ay{ zp<9d;x!K4_NrL<8)4{cH>qV_uQvt4MR=K+qY+YWFs{>~ zG+~#Kk#=K58xH$N7tX^PnXp!OcI?o!HQd9f`$#P{neCC~tKiQ@`9D5Wnmt~!u_i~^ z|HPTUAAE-RDZg6oomzf(QX<}gH15LmA0NKWKDQR+tXuX3PDw-b%);6&mJ<)u!* z$qN_V6amUwnKdpmB6Ui#=@$#>^W36%mvR>04Z+ynP%$ir@^@zBf4#6gu?(@}g7e`x79^^Ca45Se?=+ZR&Ba+!@qTLO7-uTHU^0No!8ib# z=M2w65w@I-{`UKDbETP;@4o|W!a|DN<5wZHhFReQ8(zPoENU75TH(wkhANad+)OOq z$Pf^%1Fw_k^7VMQAIiv*L_;qr6sW1=liKkYzY`!lw*UR`$g9^Qd@+ zT|x#1W3Na#3pzUbI%-FQn!s)Dp|TWwH_J)$Y=vcPNz?-5;QES=@&`|aXN1hgh9;}} z(P)mAc_N|HFeNwJi5e@nJ2jBrT)ju0;U<{S)WclBB!9n`k(ca9_&M@KTyo(#aJ)}Qee<%$BVtP;o1mSkK5q_4 zhNil(;;o^P3slxQw8d-W_41Vbv=6B~5u9I>XhF*l-onqd#(FZU@Do`p+;9c|dTp$8 zCI^psogaJ3wWo%!FqKH}I$>0WLrp8PvXiT2ratu`B2pT~){)m5hrMiTTJ z)DSrdn~t@Hugs;W=PJl{HHQw%K0i?$2yZ+L8S#304DMmpt>Z5I*Xj1@E0D`i$%(ov zOiAvCD<90DJVV2epgE4!DnKH?9@Q(LdHH^e;yqQm_>oQ(COPM{O|yznL&H3xh3a7W zGSQUqM4C@0C>bRxtgV)F#yhE-Bd8n~yE}oRCu@LUQ?Wj{rZ60JtHir&-kINi>|PVA z#O17DTh^=ld9}%CuA;T_L|=3Ap;+St0yPTuV|$U2;Sr7+qzJx4RZ$)0zL-~ZZ$l`g?L@bdC^Ly#MHf-nquB}R(w7}XUYj{OGMyge9nVoK0i ztD8VaY>mNcJvdkIOJgWbC>vkq%tLM)qT{P~YmOF93vH^AO2nPik~o2D8}?;`rhc(u z%MtzfBYE^TgdQcD7kz;-a+cHkc!34{Q9tb~zA6+kroeTv|gZFC4Ws% zeqH+6hqML$S?Rojj~oVHGn4YlBflQSybk|fAor(Jbv)^I@z9ubLwiKlH>J-?<@b)y zD?TpCI^$P4&=yU1eZ~pLRt2L?NCrC?sm{M(g_=UjwPilypy87U_1|QK=zt?$5AD<{ z*vqJ!($9G334RHD}|nia#`yz7af5c`V+cd0;cy$eAls%QWV3#oB0e+k+@85@q!cRnTa`YNfk> za<4aq#kZB^tGOCxu24q+x)_WvQ<8*p9W<0dvtbOM*-eE zfp9Kb^;IKTpBt_Hc#me^^6oHkipWR)4&O)z>!yimxijNH3-{y2o}1|`(5clpsivF3 zey{;Jns(FF*^HS~5U$;+AZ5Ky{d(7Q5yt$0G66SRi-rgX4=c8SAoqLFQ~92$7kny- zwJS)*H?#NDY~L=9aZwgBYQ5d!8JyR!1)lQ>eNLy+WcXGQWFw8u|Zzv|@o>cf-hDh5r(E$3l(^q-5p+;7p1GMvgRzjose$TwOo#|mg0?SBPwm9&y zFst1Fy_hpL8P$Nh`61sWK8oJIO_1zlqkaNJ#Lkv7CILg8<{P_hug#C<^y@ zBojKf({%#W?N$8?Q@VwchI9vfZjScNt)2M~Go_K6<2X;Th`B!$zm$J4454g_>*kCc zJ2y78f@ZG6!k9y&#>%!Vp3>pYde$DZ4HS@}46fq=e;%(2%XHX<=PKZ=bXWE9r%J@a z5v=-ltbt=)SI_7wb`Uz9b>glM3$s_0S0Ef|V5I8ZyZ=^bC>w z?qT)31}z@lz36sHiO!}ocr@K>7lJ<8YKC+Q+na2QFx2SIC`%vKNoUChL5Qk`ch73#<(DV)N1WrY3+_^1zA9cMfV zTY#TBy25NVzU*!G)%>)~to;I8Z$!_qSUW zdUER&VoJ~J}FX5kYuY}^wU__3STt_AO0r}aOWAdvcZdywbBhs!TXh?AeQ z-@a5F>8X=Lv$=hiF)=GnSnhFmjdicS9&ZyyW8jTGZn?Yu>c@bju&LKc9lYg1HWpTP zh07J+%?A|EJWZ!izxK0`B92^nf!L}FsOR-W%=%E*fHjO7SCq^}=s)4f-QgnjVOL_H z#QFsHEPvS>vsT4&#A(U0{%UtFi=I2VmfPUgcVAcMY5}}Y40ieRhu!PCwsIE9Td&_e zVo`A?)^wj%)5n&gljkOQuT?1bT7RmtQ5upJox8QBJbkO21pYDjOg)?0tZ=&_-RjuQp zIvtq!c6=pGs^^jz9yM$I+?XJQ)!$1(?8NIYXY{bISV6TTj>kK)rD1>$Mc-rY2B=6dKe>}+4cfcT5evia(BWD(mCjOH6ml=y5~bKvC>k)ampBC;)-s*H%_PnRhI?ra zq(h0P4o&bcCqx{@KjZHdCkY$*8ToZqQK5E3^@kgfz&3i&Bp_Ur1H+qRjq4MN8?);-NBTW#2}b{=s0{ zsw{WXxDL8-f^CJz_Ec-VfIS*QQy`6WdSgvY{kP{Zq;^fFCqf2Mw9AabwEZEe{+n3F zYR#OWg1d66WiEkXNIpqSes%Ed39S7(Ry$KRchS96nr+Is^V z-_Q#!Ih~nY^e82T<2@diun|$SnX6NAX=49WlFf$RIb`JCvybg*R`*?+b|*4a9|*va z04TVCW#Tr{TCC@jN2aZwOL_>BhKfz7wWwuN&p@3NongAjEM&;>_K^gDJ;EAGnp;Z2 zP$gzjWL!HqPJ;s}PN;|Zy~>t;P=Zxt?%?aBO*g4D2VtE}VwlHd$!d_9DGEdh>zCo~ ziqbGc_J5iu{zA(A8Tg67lHi;`r_}2QUi!!By(GlNaPyMMuT~%yCwH<$H{SyLeYyR? zn9jBJe_>{6eMgT>OS-v)0sDMg%{Wz+3t4D|2tra)8mTn~j%a5v6H=8_&)FUKT>kV) zT4TTDOb!@XjWm4sM` zrq02^^^PR@Tqq^2+mgi=!&BDlNq1h8qB=8WLRMt9wM<8WbYQz3v2Wq+hBP~x+#$ej z0))%5W_+!o%|1|-FliaF{E0lqrxihEwz)3G^W3VMX z4z_3{%I0nhv=b2d#iU)1KF@{U%LVK+WS5qXs!H*(HAQn$q#;6$5Sgq4S5FQ*<7($cO$ndw z4=ryWNW@R5!mxgcC~QL1Ic(|_g3QnxnYxiZ9UXR96sFqK^j^&;r9CR~ID$6Q>z+^g zUux7L$F)Djn!<6Q5$2{dIk3BTi(U{F^?z360B;`i)T}<|-A9x4ulSe{?E-slezmk5 z2WPC;J*7`IC*wVzHq*Y}t19 z!|lz69v6Gl&rMF-i^b9G{F-#q`d{`=M?Vv*d1_x%T0CzI1b-h_<@$|j?+KG4^?>*z*G~QU~h-MoSwQ;2`iYGPn4JT zrF{7oX*MinSYpP!41L$}%W)>GhxbNgG?mNJYF%b=T^jR_^aKi8EI&Ln2vz8O`pC-{~2uzbDl#-U8>+Vnc~#UG7nK*UI(E93eR1yR@Iyzd}Blw^r`An`Zh zPQ+J?qt?;pix1hdV8DGXGR$-7%3(w{u7V z-pibhN2StX>8CA;qM1!LNZPK&o%1OmpCbT%_Emdpng) zd}uwKF+Wmi%TJ&tj2q3^z=I1%ctVhi{ zJWbsSthP7KjT-4_xgVuA2bA(d&3spw$Ta7Fwaj&ByAR&a7P613Qpg%fk=_rV0La`< zge}(MHj7T+E6rr%axM+k%2jV2_b^xPFq=*m29WWqb~0}z1EXuTZO_);Jh@S^-&6Us z{JTKpjml(WV)=`)WFg|<;^g@2+kdArxtRVETK)%AW+Q|Wnk6oW3`d?Lbi@g^*7T}4 z2N)!LKcsqTG!xJy3Qurtff|!4l8G zzNnz^pYxcEkWr0_!Gb|PcH{zbm;h815a`LM=-|*Wu#zt$$Wbw%RQ^DsC;+~f4+S3N z4T-LzpT`|3(Kv(nEZgfRP)_`2fPjRA-5UQ10K$a{bPM1I;wT`FRl|KC3WbcW3+>|L z6Z`Ut;iuRS5qcGaihOo`y#v+aao&qEUaQ#-(1D(YIKw`I5WVxk2kC-?{O$L%$6L8y zwi}Yk-q-ax5chj#OeYaIwhw3yG8EG&+|DL~12`$5WCSGW!!m#uiRp;Z;J6Fk6~y}% z60i;Rf_7qay6#I<^QJ9_f@*Gqg5E{)y1Pa$?F9sQVzi&Mk$<0}LU;uWI;lbImVmpsK=sCGgLhpj z1`%~5mNY)XJ+Y~AVE@FzyldJ3_vQNZ%TycM&>1x;z3@& zHr;36!(!8>P@9#VKPjK{e-aUCCM1fH6-Mr+B%^@_yilZa9w0xh>s<-Pbj{o$=^&(_ z;St@dHkPnI(;8%V!F1o>+S`J>a3?X~^{F%YT&|Nfp`v3r3V4FNW|zJU?7T*AcI7{< zi@$Wil)4M$de3HfU%e8t4dR1dzpem8)NRPjK^!+q*nFO=OR4Xw3+F(%Kew;Gs+RkL z=VA(i?7}}6M^di$RE5jeF~qf;#wczi2ZP%QFL@eF67qIYAL|!XUl^vkag7o?l|HiMo;eN#z*; zN^U&>N>0CxTj4$*07y+SN7*UW9TEu*JhH7{j_VT=Q2^-1T8K9QMZyPgAo$qiOC`_^ zcjWI*`64JR2OZY+I#{9+!vKBeeFvR~taI08APE2m?GEYkc`cjl!SxlOzb8b@8-7iG z+7kisf9^&EpFy*Q+NWB$l^?@8MgI-FpNAxftgTG#+}eW65UqFBS?%@gQO?Bw7Q(6M zIPgU2$csok{rZf?R+bm>QlL$7+In!+#ZqTVD4YMaIWztD!wZy7;a}k8XB-BW z5I0=EW=A>2`P_M|r@{E+zRlFhPq+7Qi;fu*_-$kgZ^j9PljoWw{{p$h5dExO`LW_7 z=Im8Uae-&=k#AV~ewtFeZy~vZPVv(RBT4Mb5I3Fi^VPj|^x?7~o~YnCm)W~3X>Z7? z-7bKz-J~bEhIA!$Ic1Xw)1kZ)$5MYhu|>dY_f>j!Ci-6b#Fym^O&z|BSiE~%C~Q)8 zmnB3CQ@AJPL$3A5W7>7M(Ggj!j_Y-mWk2clL8l>J#~TRy^5(DoV`Gv=Q(Zq8#BL1g z)BM;5PcO&s+GCpgAw@>OMe%5~r$Cd#At30w87-Z}(NZJXt#^?K4mR;br1EBG4mAi&TV=;`V_I zRWV;omG-%^y4urige_r-Q?kgZwZ73X3tU=5mO9ySvK=nI80fA}NO9FEa_WZ`N%i>h z#M*dtt@Z_TC27q)zE?wCA(AJ*Me~$_-wI69YGwU z5?r)}&T1~~_~6~s_7?<+DQl~oVhzd~<*oD8nzMx95%`ctH zaMe3t`0$+u;)^^`fene1fNm9$`sWN;>Fz+*39!0=%cm%mPR!sG8hyZxK}Dz=)tY6N zdA608FPBdy*&UBj?&dh_prDSiuFO^nX>+YfB*uOtLCdfqQ4G4c^g z-R+Nr00#D>35lT?XQzzCLkjy?KH&PHsIPU?Z|bD>OPVgmd>K}EGTeFGoZ4XZHV+D2 zL56~4FBh43W-6D>o)@_i2By%}Sx&I=VRWv%%6UqkJFOCDso2K89LGlO7RqF`=!)pX z$>uDQI4uXvi9i9sV)vHPhv>ds{>EdaA29u)8SX6;{$RqWip!X|%uy*IR}mMOr)~`g z0@m?Lx7Wc*AC-bg%-bU$pRBC^;h~~pQb$7-0|8j7B$ZS-yJE2MvUV44tevETT z4My83evg+}u`4hSMC`<`h5d*k{#zbMrsH7WFhZ6xZLAGIYBpT$!25KHXmD8Z#PU;W z^U+{4IEJmg-2g?-$b+k`2u&N_EA6&Jj*nvA<-ZhghZ@-ol@#J!EUB-0?}3I07p>`Gw~HWUf#8+@_d4_#_2-#<7MTy@InWE?gpYpe$6z zv9ozu0?tifN<_cLwYUM?YN>2TOH5&^e8}S)G~x8=Z_fUHqovJ%uNvMY0C{pTcOpD} zK!%@X?Gasrz2AL*!S{3~38ptJjfS>g>bLu{IOXx9K-vAty+sOn%@`)M2@O7$8=rY< z+%39-fPRRzoI%U1R2v&(@zp)?X^HF!Cjsq1b1sS1fL|e%b7HnejW3JuW%XcSj9mN& zK>WIj5&TTWercwlU{hKLhNy3(->PYHJv8dl!tUNsTxlf>@ zmvr6#C>@);pp^auxdl~ z6?QT4@pB(?&0_lG%l{f{)T#69f(Nx^LrX17Xgil_(1u#Ukdxf-G`;^9Kp+X@bl=ac zREvP-wj-PJNPk>cA6m_mc8v5yPxmLR6QPu}oo(zbREx@PTQ7pu8Cy~=tM{B*^T>QQiFR`6kt=PJ$l=FgaX{bIM>Y! z4w^+TIpApKXuP*a*#I79WqjQ;+45HBxYXqgUP>b;3V7JTMas@+-@=qELu>R)(f_LN#HpP2m|?$+YFq|%|0&k}Lx}o4praJ1kxG=5yA(h+_ z1t}X!+(5wtA9EPZu0jX5J3&J#i~CE=T|K?cT?fx0i6Q)OVa6fK-+0cniSR$TLvUuK zs8{RbG6|}uW=`teMcwd<#q%t2-DmDiorzI&rddn@o1YF-V)pr#Jl5}jS980^-MENY zjJj7}4t8FrJKL7WsZYSQH(oNzGL`g1A4}J?&1du?{CW_eD}b^3 zwa|9&j(t;CiMG}$Lzvh1muDtjYoPBFAhiDqHLlY1nt``%t~NocJ^uO9sdEHC7hDo# zJd$Bxi8=c+Rq`vQ7arwPV+t{#F0i9}c9tQB?8mP!$&{{Lv9F#~@j10J$$WBB4c2xy z-Tm|_lj9&{7$mCe^a{6N`)I-N;U)IL2qIqP%RzY40 z`C=pZE!Sxwl{`J-upCIp_E_g5g8k1go9`VjB!Y21m4rz68MiNH5_#UhG}N7bL}LJ1 z3%pCC>1=85%5@slb0iQI-62P>;{2u@8#a-W^{bc6wMC7vI1N+qW0z}#YEdn8ZA7GP z>*OsOjAHb7G4w;Ig}W9lZ+SnHpx1gvgxc40VaJC%_vfwPR*cKv8d4c>x(@>VRsJO> zfrc%?6*0}m@mphdnaO}%?Vn;M;mV+c+%u6PkzUQ&)Z6s(0Gw3qg)Yp$o0uSfTi zd(10ID2QRHKS*^qaJrXTwE9rH_Apr4Xr!)Q>3x;GKM3$uBc+Xc*h)u;<0}xgGh+2J zo#1?}zwZ^gr^fEn5PtAniN{~mbmb;EH|aRUDDY!o&t_+)<9#W_Ydi)mjI_F{V0Dw! z5@*<1Alnz_4ssD{D^w4Y#YFtkok_T|i(MX%3vD>Vo~r}T6K7z$ju{kX-_Q>nZKZS}+1Cxy~FOKDr(ljhSFTvd|9*}9Lw$q-U*;A{?pUYw=fVmQUA zPQR6DiuY7l?vVeh06q98Hq+=8@9Iuy^ zp8smptF&vHa6WaBr$>Dm-kVVmjLvX1YY?ZAalT?T2mH0QD~f>CA4nKOi2R#!aoQ;(zg zNYB?(*A&%oldB8`sZ!;O`EX!clwcz4mzS3@T7}?zp6wRIFCt!0i~A@y{-2uAWWAv| zA>bH`Osu@US3AB}s3g7Q*!%ZN3|L^hL`;p&-cj5=R8)2LwAV3A1uZ@mXsn7idoIgy=<4lE)qq%_BrSOUz&l2g@N+J-5jt`CTw)u1hbqAsx>z6{>Z7 z83sy_8Th;Wh|kVc;L_%EvU$q9c{QAj*!4=+F?bQiR*6#AviHXgkmY(}_-y;7d57Nm zk<#@M_4DRtlCp%en`{FSyut~>t}_Z-Sm(2&4HT*g%j{4w1;*pA8df3}j!#mn-^1vK zTo+8rFd}_jsdW2--1pn`^Y}GVs;2CF#Wuxem5o=V?8i>F)2Oi$fcf9$_pV|RC7kYC z_BLhwV>zr5qVJpPWNd((-&AaE%!jeUxtTB+^&=Vrlh4NH_sC?JA@}?ev^w>D7;7;V0YOR^p zNp#ND7&$%ET$Wyn_*iC^DG}b;M}2d=X8m1#PQdkqHUXBKT9_`4-^W!opkbog8Lt8U z^fV$Sjr7E3iZ(k-f}DJulVyXCp(g{XfQE<=+3GTpe~)}m{RNzc@#J~CmWRrW>!$w^ zal+PLU4b@`;y|!CRt0A;!f9@yh2uJ3yI_YUNQWoW#Kka{KMB(0L96c2Q~sD^=R+l; zQ;#46d}YND$nc0^zyI-sXZk3bo4Pd(T><0`$0w-pwpw4EsDqr`nGKazYe()=I5+rZ zqKYtl(Xh~##j)klYIatAM-R}Jm)@=;0Vs%qYLAd#bmdT6Co7S_6U8BV^V>qJ-Zc>B zNfZq53ZbZaL3yQuo~rdVtE=HxnlKHx6WD7~wRMi?kjV6JkRDstM~OrckJ=j@<|P>- zYTb5E;Wh>5wFtPVZ4m^(<=!J+kuIj&h9g4|=Y~SdW9R)qk4qi*j^Q1?d!WsOxq;Jj z0(YSPR{zFIw1SpLv1!)Q?gX5Ci>>j~kA05*yD^a7fpPxKN5S%mERTh@&g|9D!BiNvCVnhx<%uK4(KMdndNbUMS;*dXlP;DuUPR(gj1m$! zsL89F59+{-Tttto@bl7o1;GqAS~;%WZxKGo7ox@GkK5B0$4-lk91;k1@#w{QwMTlR zJ8eDbIy{Cm)niJ|YX$44o3Ho&rA{UOsTvORa!=Za5nMuSYrWD(o(pRF?l-Y!fzr|> zSxtxEbUvh?iJOQMW)>Y{R(uP)Z|5jrWAQ#qFiL8beB8+#>`w1MXrZeYjH=7Lj2e+s zrV&G9JBHEDLXcz(gKb#ZBFFU&VwqS*tXN}pOb%d(3mcJw3kvh0+F>c+i9O>=`N&FZ zqi76sbA4gF6epH{sZ}Z6}}DHYT=hn-fhkv27<4+qN;WjZdtJH{ad;)xK}-R_#{Z zd#g|1?&?#w`j6B1Jm-0?1gJbL=iC7gzsX01+eQu6<4X2$i*8tpjPummt3E=uv|FHx zE!b*;fURKNo!xdmq2r=nd@*^Cos!uW+BHWXT`jy9ELJm=r8MvN{*y7mr0QpHT^+y@ z0<-uA?kYU}5Y8C#$NJAC(h&_F@(TSI+Q0slh+BN3dSZ<&-u-wPa5YqEl#8(0H(01; zlIll3X~o)~708k}dYs{_gMJ9}EIYgS1_N5~TTqz4Nhu$a&Rs=a2ZlyhcRPZf>KnoL zj#24@<5b7CHgxZa3q54iDoI#OHad22zp4e+Kj5cL z+-t!mM%W%C0_hEFD#0xq+O9EjO;zM#YZxeF{<>n+GqvSzg;K6f8#tNtNWNfzG0Jn? z7GoYykc1Ra<6InR+JZzCfz;-oM(h?UUf$}6HMF5su$0|7KOb{l!VSF1phJg;isr;w zB~mj8aW5;C7}#3qPW$JZmHT;#pVa}x2tE8|&_eGCU)C_W-#O%r!JYA?l>hSTxyvn< zoh{B(4daBy2CCr;{2MUad%3p@)?CqsQf^Llg=ZVFw@^W@C$q3PBJi47O|`l4bk91* zK$M^~Wg^=U%%@I0Ve^!Cvj}wBW?#3-HEgbD23!sdW*qs=PQyvx3|F+R9u`K(N$W?p zkgk}Es(GYCCyyl$)v1yi$kKD$(9EyF4uwOb-?W3x4TJsZ5sQ<4b=Yrc7Po4D8*Kh( zMRlSehp_T+@K%K}@t2#7kCyMGrd$vq=Ai-zuYg!_5!I@!4ghA>WZa%S`V!QiYLviGls&R^S*i$cpkLOomtP1@a{?a&5z}rWAdC{(2UUaF5;2?Vd4B4Vt(^_G;#PhG zU)sein9SI`spp{f;1M*$>Gg>67{Kb=E73SE)KV{`-uL>ediUgXm>^8ozXv_%qHe>V zum~M!&rlJ!u~dua^9WvOpEQ`)DOZQy==b#(e=zsKv=ybcT3ML%E?d2@_A;z#XXF8= zE}zM8u}TNfP?U{BU%Ks)B=lt2Lx8igQl^VYFCGf_Ow&&WES3mg=_|bg_%!L!h@EAf zF(TVd;3M>RwRAqO8AHtA!TrqaD2x-sC)+Jhvn@O5hCK^)2{3?+%>wW0H)Xc)sO^8q ztXSK*&OL?yVEKyN@)xNLXjGeQkMRfWx3tn!uusuQT<~8c^ccE|0!kvqJmcq`D39f( zOVZC7u2btAgb!k|hsA4qv_{>;NFfT}V9GJ=J5T#xydH?)J~zkiU1st8<&X9mI@=Po z4%G+5))BXxZxjN?)+7p#E%p)~P=LPtoJSXOx-V{CwT32nV$qAKvizQ`C9YPY8Sl|; zyCuuUx{6TU5ZHgn`hjI!3k*piLoml^r+X^}74CJroU{rlYG3p4Y38TemTP~T5Syh3 z%1W3ou9WgT7WqQ0RvBn+G#tgr80h6H#>2dUFShe|GjDsP3cRrkO&>Q8?5>-;qap7P zqxJkk^1kLRg@0Br1dwO89im&+)plr-FG1Oc1RuCVg&yUIt&?YDgmh3BEX$8XllUJ| z56*mkyxW08WBW#(q=X|Ltrf=-L&{`qDtMJp%Kx4fM0^mPLE~!)t8%8h?6$htqfZ2L zJUcw!Bia&#so~`K2sg`@aRPl5A7&!bttRCUjEyTK}CwICYUou;5#{d zkfZ)-RD1kv&$o4Glv~&g3;h9?h!mHyN>U)bm!Ai(t>u}TLz*i#%$4I4X3wMbMoaZd z4II}#DCDV+23-k(=idB#6k8k77)jXFZ-T^kpdvrp@y|5=zO>@4P0HOHKs=Yurv97E zfHu%q*U+OGvbw7&%H+zsHQZk`R9@Q-UHQU>XULPO2VS0UwrPXgBH0ZDY`-Wa%pzbL zNnM_5QDJw|os=w~e3{Aec+`ABC|V3>Qpx#p*K%LEyzk7;P%!R@6N~_!X{2Zp-c*) z^qq>uLFXFHwG``X*})A_)u)GO1t}QSH5c(V=+5D?7EymQ8J}hC-weAxLoD=( zVKScno>wdkDoWv=7Lyi}yN)_8YNK7*Y;-QyK#9M}UR6Ndd5%(+ly*suc-a|>;h;mK|<@||+z zbY1)Bke+86{4E)>)YjQL>)BH13=C<=G*tf}tzrrS(HA3Nb@lbVIRZHK`QdaaGP}Z0 ztxs>9MO8!vY||xRl*>oqjA9&>k@s6byD;teK{J3^{7ELXQ+m=xzB%vw))G}1(ZHdj zKMLml?7ll$b@J&ai+17e={ywVVH6wH)3!URpC8zZEUQqAx@^bcffQE`5|veLc#`BT_vPw{ z2}ZO#q9;Rg9EVPTwk+^UC48Pq4f)#TXfv{IsMcy$0Fyw67qya1vv7(bx*r)3Xh68m znNI}9|3$aOGdSr-^c(3Ol}`wlyU)Enr7xo?+e+XTLy-8ZQlR%x;dBx!G1cA8n(+0> zOh7c4=^C#h*P4!gVP=itH4z99(Q%UCTqm09qgiNeG^89fcJ*W zr2bFR!H%gXyG*M<5Q6(7?7_G*uOrm^5T6>Ga4K_^ZCgN1o6&?QdlRlMEGj<}m}?4d zgezo(CZLWcE|#rD!EW6;+i0;pu>{~4+}!*i(I@>VXU?F%Cfeg@W`?hz9lq`PhKIGP zv7Bs-lSI75t8Yz>-u|7YkG~MAMF`Pne&&~V>Nv&>I7eLBt+#Kg{P)r{+pzd|A2jUA z&g$KBAgtpC=Og0{WBC3c^_M->a#b7%BDzZ=7IHf;!ppj#Eb-Amzv9y{5+CUB@1=3D z+9?|w?StTz8vb_rqzO;I7LPKb1QwV-h=l0;xakh_heZ_gT5S zDum;ZB+}4^B_m;>I&vY^stNl(ZVLxjg;>y%@6W$D(+$>?(u5-F+2t{EH2ysVYm<8p zwE7O-x>S-{Y6Loy7E_-F556*()-y2Pg9VFC)h7$ocKUgiCs(u9Uurgz53+5T3I7pD z@qJXgaMcTlaMu%}ph*67LATk@!h7bZ5BL6Z9@9y=%pf-JON|zu?#71TM!v7-$-*VFIMOfVf)N;&6>UT=Tt#I=l>*_v-ZkGUqMn*|wClO)?O zkP_}}`U0Or4@dq#kq!LsoE!h0Y=GmxFgf331FRgZ|7HDu5jtF~tpAe}{Qm)=;{~av zcDc?;M!B$sAnhsb8L~7-f;Py~*T(`rHAj-OpdXyi4kO)~xIhV0NJ6;<6Oq4De(gKs zJ^NMr=x@8c-kA5+bLI102nDchYy^qP zHa6mmDYK02c=&m!MnI$e4wCzV799o$6D_c>B*DNdj|u`O@)`gcCfCM6Au zh>u^|`KAqF7sfnWMWGPvgd3P%0Y5(t64O0c7yZ%mCEZVX5h~g)0}top>kA*GmjDKXEamMW7{rBf z1i=zYLP}(S;@el70O~`cIc8V{yW0pJos&N%ghU<+K7oG-3Yw3|LW2V)RVc>4_k@BB z(!tv&EeD-{4fXR2^x_@#2J~~CAgC_rrgz~3^Mf80_Zl^?M(gJK z8o`;llhu?@ln89X`F-#K2&5+5B#5#0G}nEz$xM*n_47Vl(gP8g?LTUpE#mSfmBY=1 zq(Nx@@e}ds1g^ip_=U5mt1D7<>m1B^bQEP0!fQclUpH4G0*mNW1 zB9^@b(*vbEp|E<#hxH^Zrbr% zVL)&ACFJju#Wj~l>!VVP?n{kDaZK|I}%H)XLW6m%6%z_4D6Gu4cDX49l}`?z+Ue zisTioBVIT4qSgo1;+3U5UT8CF>F;|*oARTO?W^S&bV#+?@w{vt$5!gN$k8yT>}M%rhTfE zujej(!#W%2f}+!11x01us&%;1#U_ZONY>e6M1*dJFZX}Ak6#-I&&TCKPCpLsywZ_&Tp$r$ zJLqJzFII)0x9p4SZW=NP#MqHCHb`d^GO|He5}s{F{8@`=+OBqBl(H&)JAhYxlV4Op zxODRH^jd&wB8Op~t(|&E$3=8qT2PdIYScxyWSQ-8Ev`22PyZXJA^^8QI?V2d7BF6% z>*%ScB7i!E4@s`p-UOD6!TjX37Y6X+nIaqTBBZjqbMt)8xBzE1fIYsWNS*g{-;2-zv6824eX%sz8*= zCPdZH46<_ocK7<-vkHdK`C_{H!rl3yq~OGT81kPK4G#g6>i6a3TrmOjwzy04@(_RtpUmQe zem&Hz!$@I3T*NGp=5xaL=F!Q~csEoCXj3c>!mzhsUjs)pY6f`S-dRBNY25`j-IaxH zxI}5__P}`A0@_C7z|0M8f%m? zx}G^X)J8!xg*evj@-#QAD2TZiykzmP=5yCyTqqi_GE;sT7SzAn&}&3)_UVS_u6bV0 zDh68umx?(mDi=oqYma1KK%n~3Lqbk_U)2gY{EIXyv|@_tPRU=Lto}3rGiG(4d}4*W z6ECdi49hxmYg19}b?51%^7U7_S~dW*IN3k+)*p;)DVISx(7E3)ZCZ@t=SjfE9XR~V z_OSZ>zxU-Sa&h1CN8c8U*tVEObb1vTEuVcKKtl>S|9gzl!g(c!CsNd{q#;Yh4TfvU zxsh>0Kp0)|Vnp)~DrfqS^+miv8Yn{O~g6YqJn? z&gb4Zgew7;Jx<%j4++L?>VM1h_=FHKAvK=nK*q{U98;@1qFHbMC76iqVr`@yYnTEcf^1OJ(*}4lft6A@&y0me0vL4S|oh9;z zJ+u!1u9q?nEX%+B8t>0%Hs-Sw*|a+-rQQ~M_nCXbucm-t;)^V-_fmHs;&AAuk@9U5 zytY}TcY6tG`<-gq)T@Gd^~s8bU0F3ugYSxG%=H(nlEw+h-R#-Ez0Fy=9NKmi1Ebd&5a)P)~wwv`~4 zROC^&d|Sx`r^u&FsjXjUK-+9|;)M;XbKZZHu3^jFZcEDM>6|a@FHWECx-*QlLck}) z1FMu0l77LZgON#Q|zgi{4m@4~Z&v!$t?Y<=;$1Aco> z9-y{RQNv-TN5us2Za3;m<(uN&{{vpmUdU;R!r@qD&;8CZQ3`4v;;iW2JT4IdB$Gxs zY+XKj2ZAlKFfp+~s!nP4@iW|V4nC~PT^%qZNQ{KN;ZUAD4Xi^-Fr}mv)z9Pw(?#8! z?tNn{G4YsjHPg3DGtoUojx3-yfB|~|c4UL*nXKM?`g2qX>le63cLD6a%y#TW#|)oq zNYnIlfo9JFS_cP?bN&=_!;930E+l~mOW^1p+D#|3beSWcblC0E+;xUr;N^NUF>oy5 z7*}_}*sYHsstlMSy9ZLjJ$b|Ss@eiCv9*``o}awGs#`VPh;CA|71D0CK6KW4bK|BK zc?C!ucR!m^A#BMPIh=+i+gRe}RUqo(>g~2q>N4VEm zH(`a;!tEl3P;_hB67So!jDO_OY)uM*R*rxgUhnuD9iPW3#V5NcQdm+2mAtVvAzx}4 zw-#Hx^n1NLG5hEyPm30Wt~K}7*K}nSB`VSYql%b&#%*OMurj;5Ik&S+O+%(-;q239 z-zqfS`{i+A=|gf;tF#jg2{L?JQ;y+mvQ)q@=CxhGH}hWpklowQ98BC^O^hti6k8Qg_8|?6z*7JNow+ zkouyj;`j0Lk?Oc7(^BL3YC}(&w@+?pKKo|Qe#1<_&%~c%^2r8b&W7yrhnO-^QHiPQ z7+lR)l+Hhrl;_j(uyEmTBs=E32(p1g+Ocdz7Z4-;W;3>RWKg$s(;QOwKZ1aFUSCmD zQB0+@9UnRkd3^AgUDig0=etyE1EW3JHNMhoc1f2gv|LzOOj9Z$vB-uiJaP{%9C%2Y zb&ZFSEN_z|27J04@%>5?(?`S@ue1#1SJ0DZ`jVUHO(E!PBX6Cm8`@6ejZD&ab^>R3 zc&@bfnBC%kMhr~+ARzKatZE)ns49JGTMTr%VW>`vl?peT1CMJ{MS1i#--h_ietJ-5 zsRhL>xS20TBBgjHG~t?oHH>lqIw9ximPQd1m7H@s9}>$gVoHYnH1v z_eVNAI_&?&Jnn^Ffg2Dga13J8P2v~&;3)7SCp>PC2rGS=(V0nYh+k5&e8Dn*EuPb^IWtk{1EvEoVBm;%-|RKv7Fv<~3TCkS)xaWW_`5I}aT4E(cVv=&^#Vb_RG_$S!Y zO#Y~q{nE+uJ{Bl1sk7-m#<=lzYG}@}*AAUc$VH#GY6p&Zy^Hc|KLEx@4NJbGl6rst z2L!K#mtZ`KKc0BQqSJnJ!=gV{aktfRUKw8_MdghkYmeUZ(0Nu9ZZ!gA1-7dSgbY^8 zOC^Fw8=LDyPP&TgojB<3@6>2f(5TxetDwFu3yQznm#*klk7>rVE~>}%LRZ_x5gc8y zh)*!f660?Zf5q?qgsoO=UisK5tVW)fY2KC7hdOiWKcy8L=5719d9WI?4CSK-x8rNT z$REWE7euhm3UIueH4$D1a_9WEOtgMFwAiXiYk##$&YeH_%j4qqp?>7tE&3c%=h2Vh zuHlUSQ-}0LfnW--9k&hz*b{B~GYCjgb?GD>9lI>~U?Cm?uS$8wWGLER*?-N00Lwds zF7l8H9+HmxEw3pxap7Gh9hFs8X=n(L9a_#J5py+|NkRVS;DGR4vX6&7R1u+X>&0D@ zx%-e15z{~^X+Gi%u|&n`F}g3H_*JZ2FUXvc*Dj`|6;gE3Tt9UrA47+zs|$rfq=eBQ z_v~6dQvHg^A~kJA_HdGPR;V8dv7bw=M!dz^1T4&*5I4n9jVVO>zdj#Sigb27zz#>+`Y7T1Owc%svxbk>i*LchOY~AdT7i zt{P9Emms>}mwmGmjw_1%>g4w-rV(IDJi(5y6eSQ2$Fdt---pTM{w@)ltu8nSF%!yp z0+tHEy+-~!#pW$AHubf%NfepRUJ!P4OgxZ)U-*!raNkDzy(O5$EwE(=y}@`R3+x!c&G{(-fz=sho3-xobpKgRvl4~%gl7uuMy z7}vM}7fkt~DLg0tzylsxqM=l&?YhHVN;fJPgMV!ZLPU{0PNR!Yah_K8JK*A2xrbhd z_!!o)cY3+&4~KBmePf>_G4$Qw6QQ6h*2abT#++~ftt@zd&pzUokF-hgss?+yzDk9d0iK-Fq`+< ziW}AM-!_%+YZ|9|sM-toeLCwmM?ey5q+TPZu|yY1>g5U$K!0#_L#{6oDb=26`#bp~ zkuOS(#RNG*4_)4E5Woy^!LnBiV5p&=Q}N(%A$BX134@^7Q$kBk9?dbCdeJcv@ ztL?uIoyvDDGvTCYMl5HcpDUhEa>vLVBdKq@JOovPKVU2vsw7Kcb6nqDC>7frfv6Lc zmKy7e+awti_XV|x!}O-U%S*pcJi4+RAIPhZjX4DKc!s-`mWQSdE8^X%Yyf8m3q6r8 zV@ED(4=pYpyxQzU(-(+Xvo0WD7J^El_}Y&J-6_cGSv9rh7Lsc69M1Zh7rxHXYD=r zFh!OK_wcqFbC6{x{Z1g1QSXJPo(17v=i9L-%Z<#7R&ADzFCSTt=(@I#CpF^I2$Mc| z5&qi_m;0HmRJ9(PI9p98Ck;KdK}YL^Id9`l%jVWEGlD9}ON%-wEF;&NEc@_gmyrk!qFtoPg@>0_jer~^{*C?tT1 zt&Rm)+OIdENl0;pHO&vU%O?t*Rw0^hmQu}CFQ0i@h(rDSmlUJJ-HhAZ4#langKot;2W~!kv@)~e>VaNu5$bj!K z(fVdcm7t-bvq|6sv#&l)iI?eJixx3W-2`)aJ#wj?!YA%#C3A(MI;(c(sOZX8XRc;5 zgdDj!XBC~I)R`lXwpgzk6jF$%il;S;AoFhVsOZ<)1@j2%ZZvaBHfEwQ z#q=#bl6?&JxC0hd%4}-1*n}d4X4tDu>#DQH#F;J{Vuvv(os8nP8g7q*&cr-RIdYAA zm$z zXy$He?m|N2WM-jeuEog8#LmLR#!3svEaqZv?B@9W=DYj9OlwC6abq`g5*l&dZ(Su; z7S3;dOm0?I4sLoDHfk0Y>hEz1j%NS2A!;thPEO`#B+Qb=cCO}d%sa8QUeTU0mHr*w_I7l}{yM<@qmNq5pdlbxT{C`O++IOFx16)I1yNOc&Dvg6jFQDsf_Wetv6fCW@II}dI zgaHk8bblVUh-3lSdI~BXTp>=Vq~&GN9K{$8J;A4)o)JhpN|?xV-xm&THJS#Ed9o8l z@-0PnaGz1=A__(|izq$fxGb!Fm!t%|mf`{Ml?z zH@3stL&^PAjm@J{K5)Wgq{Ksl@ObHkDUqed)!0qJ3jR8DnQ&kJWrmDK!E)>2;r<=> zFRtqjtF^{Vrq=|s#k`P#z5!B%XTW0_>w_GLaJ0W?F(8VwFvrsQ;tw3>CM z?J&pPVD*K`D~(qO5i1F-Lt!hK8CnL-w>iINq0{b%9&JRwNh;u1jNMy0l8U^F_~L|P2p5cc z7hdtD2!rsU+NaY}+CXr!bFgrX6V|XI5g+P%C~C!`z-!A{PzBIdcfthp$_0YN1kLq_ zL8iK9UhMX46fL97$t?jc^M__F`D8pYjH}X$=26cH0Nm0n1WFd2lX@dn-Z=9GGd$ot zW<;Nl4#`4~2t1)qu(LETQ2W$83CYEf*Qz+gDG`0YsIkBKq6>}^pJ2M7zrvf7TYts- zyga zSXl>rLC`AxEOYZ$BAnt${cdyFnc|(pIY~OtRJ$lRtT0g}i;-y5ogp)-r9zamw66J? zr^R%`ptwpD0$9z;HNG|e!o!t={)C_zMKghj)?q{ojIgaLDmjt!eF?HF zSd=BKE4*c>jK)I4i*Hc#g{b3?#CbA#yf|;T1B1OAD;_*D2cOQYfLeL4)WdmuoYqQa z1PhMY)!;WQ_UZ&4SeOZ3X@h*f;iU4#2__qwa7eT}ZuaRPaD}xyfCQ%W^(JkMWAF+D z1qoh9@Oma_2PbMnRi=wUwCiA*HbRZo>~tf@H{c7gb-lPx*lE);m0~ zlCZ;jMOcuB)*i*j#6=4{!^N(6S~mn4kaBjg->vlv4y5oVHj%&;qN_i?57LJfbn&MG?J%f z);;{m(_;GQ;FDjYPou7*q##>DdeSc;!ru4ue`kx-L%yjON0?8;jHWyTlIPOSIC8-J zZgatVC*PTq8m7XN+q-Gc!Si!W2k=$@>Ppr9FD}g$aGkjuKd!D%Oqse< zL&YKlVnP-kw|~qo!s|- z`&`@~@6VlGP)&pqXmX|>Qu-z zRWepqs-)R87layYZd9H_CPl>L^c$I?v&P4>C*as|qRFA78ylgcgP%D5I~@PwIe9q> zM7rVnB?_KMHq-Ef08W%sE$lr0;MaVyf$5$t!)pvBVLIOE0uO`l@1xqfeaKSsss?m` zKssT6W&NSP!x;SJz+D~Lp{_r)t)R&zvL0cEE&Kqp-b$SN^d9nZ>u$KWU0Ybpth4C@ z=Mhx~y_hkL%OZ(GK)5cI(*@V2M#wbystbB+tBEc6)tJ$S+g%Msv1rBRbNvD1)q7}X zs*`8e<$I)WkI4$zRnE}W*m=OOw{4?Y^vy3w-}@V3N}}lX0&D&*qPGSwGmN(lXOhoH zs|Vx}#c;uc`t&`orC<2BLm0X5v1R8sZrHI12Ub99JJ3$&PS{QW literal 0 HcmV?d00001 diff --git a/4-3.tex b/4-3.tex new file mode 100644 index 0000000..3859685 --- /dev/null +++ b/4-3.tex @@ -0,0 +1,66 @@ +\documentclass[10pt,a4paper]{article} +\usepackage[utf8]{inputenc} +\usepackage[ngerman]{babel} +\usepackage[T1]{fontenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry} +\usepackage{enumitem} +\author{Beat Jäckle (Jb)} +\begin{document} +Lösungen für die Rohfassung: Mathematik fürs Gymnasium +\setcounter{section}{4} +\setcounter{subsection}{2} +\subsection{Selber erklären} +\subsubsection*{Aufgabe 1} +Wir können ein beliebiges reelles $x$ wählen, dies in der Gleichung einsetzen und die Gleichung auflösen. Dann erhalten wir das dazu gehörende $y$. Den Punkt tragen wir in das Koordinatensystem ein.\\Dies wiederholen wir, bis wir die Gerade im Koordinatensystem erkennen und mit dem Lineal ziehen können.\\ +Tipp: Wenn wir die Gleichung umformen, sodass sie nach $y$ aufgelöst ist, müssen wir nach dem einsetzten nur ausrechnen und nicht mehr nach $y$ auflösen. + +\subsubsection*{Aufgabe 2} +Diese Gerade ist die Menge aller Lösungen des 2x2-LGS. + +\subsubsection*{Aufgabe 3} +Jede Gleichung mit zwei Unbekannten ist (generell) äquivalent zu einer Geraden. Die Lösung eines LGS mit zwei Unbekannten ist die Schnittmenge all dieser Geraden.\\ +Zwei Geraden können parallel sein, dann gibt es keinen Schnittpunkt. Wenn sie identisch sind, ist die Schnittmenge diese Gerade selbst. Wenn die Geraden weder identisch noch parallel sind, gibt es einen Schnittpunkt. Daraus folgt, dass die Lösungsmenge leer ist, genau ein 2er-Tupel oder unendlich viele Lösungen enthält. + +\subsubsection*{Aufgabe 4} +\begin{enumerate}[label=\alph*)] +\item Ein LGS heisst regulär, wenn die Lösungsmenge genau ein Tupel enthält. +\item Ein LGS heisst regulär, wenn die Lösungsmenge leer ist oder unendlich viele Tupel enthält. +\end{enumerate} + +\subsubsection*{Aufgabe 5} +\fbox{$7\times 7$}~$\rightarrow$ +\fbox{$6\times 6$}~$\rightarrow$ +\fbox{$5\times 5$}~$\rightarrow$ +\fbox{$4\times 4$}~$\rightarrow$ +\fbox{$3\times 3$}~$\rightarrow$ +\fbox{$2\times 2$}~$\rightarrow$ +\fbox{$1\times 1$} + +Das einkochen ist beendet, wenn wir nur noch eine Gleichung haben. Dann haben wir eine lineare Gleichung vor uns, die wir wie gewohnt lösen können. + +Diese Lösung können wir bei einer Gleichung des 2x2-LGS einsetzen damit die andere Variable auch bestimmen. So können wir Schritt um Schritt eine Variable mehr bestimmen, bis wir die Werte der sieben Variablen kennen und die Lösung angeben können. + +\subsubsection*{Aufgabe 6} +Es gibt zwei Möglichkeiten: Entweder widersprechen sich die Gleichungen oder zwei Gleichungen sind äquivalent und wir können bei einem \glqq Einkochungsschritt \grqq{} gleich mehrere Gleichungen streichen. +\subsubsection*{Aufgabe 7} +\fbox{$3\times 4$}~$\rightarrow$ +\fbox{$2\times 3$}~$\rightarrow$ +\fbox{$1\times 2$} + +Wir erhalten eine lineare Gleichung mit zwei Unbekannten. Wir können eine Variable mit einem Parameter ersetzen und nach der anderen Auflösen. + +Die Lösung enthält dann einen Parameter, den wir nach belieben anpassen können. Dadurch haben wir unendlich viele Lösungen. Das LGS ist \textit{unterbestimmt} und \textit{singulär}. +\subsubsection*{Aufgabe 8} +\fbox{$5\times 3$}~$\rightarrow$ +\fbox{$4\times 2$}~$\rightarrow$ +\fbox{$3\times 1$}~$\rightarrow$ +\fbox{$2\times 0$} + +Wir haben zwei Gleichungen aber keine Unbekannte. Das sind Gleichungen wie z.B. $5=5$ oder $42=0$ + +Im Normalfall ist die Gleichung falsch und die Lösungsmenge ist leer. Das LGS ist \textit{überbestimmt} und \textit{singulär}. + +\end{document} \ No newline at end of file