From 24511e923658309139d56e0744fb8bafca7e5a5b Mon Sep 17 00:00:00 2001 From: Mars Ultor Date: Sat, 4 Oct 2025 16:31:27 -0500 Subject: [PATCH] i hate this class --- labs-set-2/template.pdf | Bin 196376 -> 203383 bytes labs-set-2/template.tex | 54 ++++++++++++++++++++++++++++++++++++++++ 2 files changed, 54 insertions(+) diff --git a/labs-set-2/template.pdf b/labs-set-2/template.pdf index ff5cd987ae54b0ddf8759ce3ee7f7dda7223943f..099c6aed7a720d54d5d1aa8fc780fcd32cdb8bad 100644 GIT binary patch delta 32102 zcmbR7kNf);o(*%3PnKuSX0o)H%*YfWVPs&aV4#qnl*MIZ!=>+&nwMUZpQy6fvR6!aIfI8Quk?a-j&mvg{Ba8v#!`JSs=8~CDMJJj39Z=8MiP24xb z%Zu-ZDjfKBrs#(2rgvIlTj$6A{T;umviP@)S-#ZGKNsq?{)C&YD)b6iTq|<%*0W!K zC*POy`MJ>Z^E{7*$s5i-Z)^YPU*};K#V+XdM19JE`h@TKKmY!!z3e2d|7QqxeD^jBYxd*vJ^|0_qei9n!j;;jC0q z`>o8%;5d`t?)iIEQ>T1tSnR9N?4P|h&yMlb=J@-2{=NRHzvt5I+hvp8CWIQAyuWR~ zweXOexYK7neip&{-lH3*b_7{B2YU$maIC8@lh~OzZ$?7vwp%xne#r7yKU}J%K3kx5 z^0gUB6N_}-t1zBDTzR(qX~Mmz{T^14`zN*po_R0#)c#{dUB-d`AIj%-Ex%{xAIIOa zr`tuf=Tp?wjx)~6DSXY28t!i9Dlr8=uBdS>7ERgZo?&m~mSI1~ul~JD$i^Bgh9Ztt zF^grS9~$%bf0)Vs`P?U|zmmV#KAFh0wvuDQr_Yrd^?t|GFYGyR@Ii&l5y$0{6HZGe z)l^?-Qc_+ae^hNxyIapKk;QUcKEYS!a#RIKt1EdP6me$VA87a|&qk)@h~DE83$E9T z%{f0tS^L@^zTM*Ye(Cq45@O2rk6SOtO+Vb@BH&Xc>cye3asz|46w~8f3U665+(I~o zz8!WA?b#|c@B5smdu?x&E@v=FIi(?4-Me6JgVvTSSN@%ve0~18*)LZXPv2I4B;O#@ zCbiowe#^wyY)dY0jdNLFru|0lRM_XQs^Rv>BR=e(yD%V%7nFX&rf7;)l5sLMva9qS_R2Hb)KAztmCsz(K!bn5d6x(MoX%`k zlO8-WUR2`lx>DzSnp$boqV@c{KYmEjf50og@IdI5(>y6c%ri^t*@|@k&tUz>7+-PS z;xyldIKD|Aa(o^?ShV3x?vn+EWs2*C?zJ}czkh6Zr>|1@xv|Ao1GO`o)vAy037q`$ zS2kpQYgRneEqSqh zmDaX%3_ao5ZwzX?Sg!~7E?6sN8F(31dX6wS^Iy~ZbE4M}zJ1w+)w$QNC zy;?HCQD*Ag=UNrdj?8JOjC%J(>%b)*Zj&k3?0Ld{w;kDbe`8AP8I97vdX$2A z*tBkbf?#3HgkMHeUMH>%(A)5E%k+gZ?lX8^zg}=><+Ku$|0@z4JP&?XcDZGAZnn)2 zVVMuSR%xEHGgn#7in47=&zF`K^m*K=y4pR*b$Ul$zWIvCU(=D&vZD-A{m)de{ z3eSZT#>d*6s@81?EO=(C`XrinnNdyGo8Id@?pp#F9oF!0RDKbPpUArFk?dDv9g71= zGUqM@ZNA+4;fUvt-iPNVwY@oTD$wFnd8g%?lLsuSpMJ+Kv}E$)*7mP^1SAx%r#L9rJz1`&$jrPZRq}&l zgpv3pMz*%2a;-cWKSXkr%uh6QJ7q>qVm$XmtJG4^V7IG7{W9J4-3&|>tBr5p=aoo2 z=e_yI@>vsYl~#yNvba3uQ z8LYBrlWZ;?+@zMuZM9`Bdzi9R^#-%M-G+LHwqNAyU};QXEr=DAuZy|8YDd7^10OVe zcS&*E=@f}DPT7(=<6-@DK?~C_TCV)!3p3ij_AaW{*yZZpqq^&?ob1%eC#CH+rBoK* z|G8&!lk{%I9f5`io@7?6nWg{y8;iNtp%|w3(;Qlhg{w;XPwshn>qBp+x0Qg;?$#E$ z1BtVqt`6PaVUX;)i*qhNyRi82y9SaY||4#a)h_2UIr%s9kHz-&HV2`=&aF2mw)Ad0 zSEpktaHi+!toXC1#3!ZnI%`OkJ>`^`mKt$udG%WMjswfo_V~WfO}Ndgwx{`PZ*F$Z z?R$l5Ht1eUTWgzoo74SJ*l&St0=aYRl^MI6H(%Oe`{ru*rzuUL`w~sE&dN6^H{>t1 z|Iogw>iO$S`sE*u+(H?oZmbSa^s$|%)IH%8!;}Y$)}0b;?<}ZPN!~gq>iqL8?v|Tu zTx?=7x*J&+rI;snZ{)~$VYMc0sh4Hz%Jab;2V-(B+;nDs?s@#EHOHiwMvKHt8@Y`g zlI!QEPu^_uILenVEBMmQC2O8BPv}~$?_4rnVJc_D)nmR(Rvr1(md&FZ7N(w9e$=^j znKqd#)hwX;Yg=W*)Kf9f z{}zN5#BA)VoHOa(({|>t7pv}j?&Qt$zi~+8Va;-NCpF&d*AMb4@1MmIm^X_>F@8V) z#P4ARi&THx{?1#WUms&Id42OGPk~y_+^frE?fAAAB`w`pzrM!#!^uMvJd8@Kb6)vf zn0E7agU@37ir0akQyUiVOE`66<}4f0M;yBss)Y+F2_Anki&f+JpAcaq-n9%DoeHGx zaM}DQjCm8~^S5}qTIdYc>20UwK1XqzyxX+ev0(KfuUU?42fyBG6W;iv{?5{S4BZmb zjyle%X9<+$ZtiTK{65K=Me4`PYikoP96tXsz=fa8jk2>uqw1>HH>{j-xpI%lb# zU;9A2i=i&wzDnB7;^oFEmUv|DRt-{u?tj8-t|ENXYY z7APs1_O898;o4(1sdV|q!kxv1ckA6w%@KWMeOlNkBTLbmv2`}=?XP1`^7 zaJ{~Kp1u9i{PlLFpXX1q-}ASk`0uK}zvUO*dJtk_QY!1{>Kt(M!WC0F+4ggbJ-si- zET8zqD`MT}PW3OZh0DVux9^VM-%y;if8Rul<+tzZ+c#KljQ`)gzCLKbUF8m~wDSK? z8J;EG{S|XQZ;sm3+tMcwM+V*DnYa69r!eoSOBZr%>w9`;oo;`)DSCg!p7-12#Wat9 z^4oVS@2{Xy`#}wrk59AT#V%L4d8j==!KB|uU{-r~-rq+r7vA0%4{9ua)_#9Yy?w&* z!+O2DzP4Z76kRXzcK6rllLyZ`Z~tdt^6Hv=+x_15pJ!EnSV{85203 z&NCO**bB{A7+GI0@ox6l(+lscv1gn0F{J6uugC2hRUTBHUc2Raa_QY~EbVtZ?YCG@ z{@n4$!ane~wtrl`)%&H(&&HlQ_wChkO})C;SN~sI{eNw^yxzKJ`&gffRe$|F$7}sQ z`_19|Bfh9}zAeJx==EyR=DPVc!3oJzs+a|K z+8hek%&DE+#Lb-_R8VtLzQKS$G-djw({1s(g3}GI9rRi{W1mO;wck&s1!eF3(?5B} z9lm2{^R1?rhW{3A*cY<*()nL`YRb!`107B zPwzbyxR1X1_%f*Tu-vky%qMaYO~<9QkIs^=?rfQ|s(x$6!%0_X8H=r5G&6K>n`Z3d zyx@KPiw`{e@5v{v_u#wdubMjn4$tJ$8E4+Q$@b%^_K6qT>lKRow>0?_Zj(9T>hkW8 ztJVpVgJL&MhfWaOZ+L78m(lLMO=rYJQ!YDP*?2Hxz2{HfrHXPvgK$4tL)yesi}DpO`D;KER^vrKnS zNrtA(+n?D{!A{Tq`1%waxp_&muVm^3y90-xn$L>3cWS!olP9H#c1dg|OU;GdMD=37 zeY|^ZQ@_&oJ*(e5_WNY@S6@t&`XP_S^p0lyA|KFEWdW znq&5ix8tdJE$4qG7@9-BEb{&Zy&oVHY&3?mn<8oDbgY6AVmgM7RkK7-f zRI0DvzsRLCC|K8T`>~HqlIKlkYl*GyinsO9iog5s_53S)_th)yzCQO&-HbZne^X^k z`&wSjDLv$M_3qyKPtomq_9ZLt3u~6}Z2P_VaoV5h@{{KFRw#U6R;j;W_HRo4{k`wm zl1>-SpBnOO=9$elZ1%t1e_r2w^uj3#L95)>>sL%_=6M?y*bBT&*E;{nApXb;b)S&R zPDcw_>*p*xPtTNG`Neo<)rY6nhLYJ($Pm31z1`gSbr|6 z&s4m0XO}=`-Wi*xjLUZV<~*6^v}q^jluw^`YW|Pgp6^{1vCuKY=OCNn)Z7Ts^pAP+ z0t#-Tq3ntoy&kS_$Ivnz3C#CW+{WKvPV|G znEDj|Eo%$(vTV0IRNLlw&yM)QRlv4vfpOir=K6<{Mn4vuXl3Pg&90l)uu;!TKJ8P= zhv}ua^mZsbb`20YT^HyvqsB2iM?+%fo4h%*X3qEL;dK^OdXSoOx4|h{=dZEZp|6#UtZHPV~if>+^WsIfAiSJx~Z+6A0J0K zR4UF{^Zn+BwLbP6eysoZPcG~4zsHl)H$Pp!U{}eW4>J}rKd$fX&XZ&~%XlOE!mouN zjtF{iMOJn-sd8Pa-^-ePul&w}nDXDn=4FrU*8I3V{qE=4@8kDQNU_`V_wU=|{QlLl zUwFk9ELi_Dzqt6f$*$S`^WXhEEua5?<4OO2f4ASRT=Y3X*}40KV&}s7PYezoYyWdx z<|EI7JLgyIQBS_n+N<+w#fy3-#q$rIwXn;!nDb@li)mf+Qw(LjemwgI>xGi$ka&he z5eav$i`33fHhcJN_QTZyL5eLw4&LfbTa|gAc3K~j*!#rP?bMU}HK(tHIxhC-`Qmy$ zfB8fk=g#MGZW3$Ub!B?boZ_N+IhDtND&^N}l#6W9QM}h)pa~_5RgM zMU2f)aCrz#$$NV4nD>&YH%{AZI{810ML^C`>Cr2O8QyJw|G3}Wd!+pT3ke41I|kot z?ngGv43>TTY=5InbL>r)RK-9UWz`yG=T+9{ z${2os;Hcgf{H4n0cH~Cm+vmJyovfO$d_sP`h)SD-!K;J$QYY1n8;WIqt<;he`(fVX z-YBcOqF3Omzr1s(?35-prv!Cu*kzjHIUZ`Te7hn$7drHE+AQ?OVd~$1$>8^VCk>8@&v-{8p|g zyD)jmLGedtbhQhgJyZIuH*emg=aoI1)=qggeNOfKjrZonHL$DjiX}2FdApEPG}10u zd&UR3j1z%3?!02Q-oN7b)8`EzW=x!&mT{ zvo@8@Kk{;~3xnPE!c#3%E@rMjohGI<$*$91m9;hGT+^FHoN3(-m)CWqIZjnMo|BX3 zeY*NlWyG7xr1HnF%sHGrXRYLFKN0Q09Q-0{e$n&4%Z-gEm-&_M4xBtOS-k2`)tQdX za&hz5vAyo}TK&4}%tigedXYbqi_=&ZJ?S}F<*Fu^e9Cjt(g{NAG7{EZ(9)ECe5b%% zH^SU}pSF~HNuEoKe&^Y@e~LA16}R)2r1ZTP=xxk<&%=IP+VbBG&F`KYUv2)sZ`b_K zzdu~?sdFt7J;^uu?ed#>>7O(g&6!q|EacxJpd&N!=;7R=t+_(8xl(`0N~+e!K36&Z zr};))Sh2MHSy9e2MzM3;Lr*Zj*;ykvljr&Yv7e8!*tjCHt-IF*ChvPHGHs3Rd(V3{ z;oANmn3$@pk3DO2SR3+jPq^KkJ(8Q3Olp5_{w&k~+}%45ub(~s+e>Nb-5CL&Yr1{1 zX1YnYUQph4!c~1ibk|ZD{mGjI(;A*%noz$@P3#EUx#F(n?tkmQZ|N7}3R`Cun!^6i z?fTQzr;mqiTKvF5e%kFvpUuDL+g~XPXrFo9_M+>N$PWze9eFCH6JKNnmw$Sen|jN3 zqLA0&?7%sWuTx!_8dyrSy9`%Feg2?zwbLiWeNCW>WS4oXK+>jgtL<*R1^?bivFdhP z+*MjyzunP%-NjZ8r8$X_9|N|Q%CwXp`E_>d5#!T4HXLpJB)H8zUMhNp#B8S z(yrf73;J-)J36{U;KmZMWnuB!d;T|F{GOo3)q1cmpni=o*%vCZvG zdqf|`p5`gLUZoa#?!o3m4~l*XPW-Trsj}Qve(?dHS4^yN507nenYX&{Lj1BTOZH`7 z;9I!nv98kWZ{l|0+v=a1Oklp|>B#bO-RW%(+AJzRh3f8aPm4Y+8?PI}p?P!D>D*1h z$rCfPZ%AK$B=P6xjUNa54!*N)W9u}tZe#cSGAFqrAY;!h-5!J7vw8>GGWjR_?2Lc$ z`s_Q$v$-x|ULhPSPLy~pFZ#Q}RoQ%t#|(#l8H;X{5RI(XujfR6ue>f<-xTv!v+9_Y z?eYjwvm3HiQ~cb&x?W$O-SLpwMzY=0>6x)u^17JsHCl5kZ}tB7#E$Bt;=U?B0yVS+%n=sNQ>;FyDzd#u=yN4*hd^HRZpqZR_T1+OdCm`0G`l zPP=4ssA)lY@Z}kOJhF!GJFhr@E%PnodTrY9gZamN&)8Mlr`}GU&h+o&=^gq9-s;Ah zH=O5NT4NXdV*BS^4+DH>n=f8fZewXJvgcW@Y_-rz-M{k+443FmT$C(qr5S8k^1^Xe z{fx5di!X+!s!4S$`gx?qtMS&dh01-(wE>cDmV9C%-2ZoTmnxN>s-LYKnR#W&jX9gG5?8bdFYvtjYd~9Qa4^b|jKMv)~lkQHlJ9lEsg_ryICu;Wa z)MT8=;K?-)43ln*dCzcrwnl7L)$3Wo0nuEKng7>cdb8?`mCiF~lVjMj4tuIUTwuVs7kHY1zGkJJ-b& zo4H9cPL)pxaof2?fX{f;hX22FZg98*BH&;>;E>XQ(Wg5)2~ahbG+R8MXrbIB)>I1{OS-#_1TAM z{;>uThr=$$Emc);KH|Ict8ki90{#*`3lt>$U9W9E*9Y zXED|2?VkVa(qEI!mG*Cq((5-?K0alB*Z=eE@*cVFxp#kO{`>RSol0Wx zhOFIH$EI&=)Kip|_1L@3&!a%{-c7OZDT<8A3ClM8&Auxf|L3Be<<0ZK$2LvNUsAvQ z!~S}^B$d#I_2ye6=JrP%i?7>$VX@8bZv`DvHqVzWOO*O?@6sj7Fm;BF65F#q81E*m zazE2xKHKtmwxLSt6-(YlAxstrCa4AZwq2<**&d!(61w-&s+e!w5s#C-f~HQsd!YSS zqx9M6rMI?rG+Hq8KYx-S^F&};(Te#y95<|eS-*n0?cTCkrvzu6S)zCG$^4R(Qyw!n zEoBya$+ZSr)ycC{Wx%#0{Ygm8or`WjS9w+x8?$%X-iw)|!dZq5(|M}ed z!Z(iIw4hw6Qt|99VQW5KI2Y9WSk8Uvwr3O1UlISkO3SxL{sepd`M1@QXIMGUF={>U zJ}I}LY*(BAvj&a{@hoC3Gf#h(ZhE+P{nCVIkFI{25cW00CsO~$B#jBPl^3~9Yztaq z8gXUfq*QsuOBoDx>v+Y^@5tN#e3#&&AKO~@zux5@G+$C|dLnQB|0!9k*kamR(%NhH z&N5nQwqdv0ks?8k(vDedUi0f&UxiKNP2Y9z*2B2JJGtIOm?SQrDyTE#t%l#{r5e&@ z-*S~^SU%onr0f5AWBI97E&RIgKfar{VZ+zIzbd}n@?bGC^I7`zmWR?)-&L>Vi;pBV zUATJiZ^@CQ@W48YIprOTjMj>|zLi^3v0;(P{a4S-+hW$Q=nR>>XjQ{byNk{R@pZ>j2e9gU)$z6TvEx+=}w(H+NzLz+}sLyE9|6j=A@+TpO(gWTM z>nqOQ`~N(eVe`|By80W=+atqfALYuHn{a%(-KLlSC#hw+R$agPc(2#{^L3l&-@IiN z`T5D?rseUgSkvkRzs9LHpDFM%OFU~Q=DWJ&$f9~LhxNIp|Kt;&m@M^O?{dpjI`;^t zpZ)^wg_C-6OgX+~EI+VWUo2pvo@mWlYh^L(J->?B7yYzYntp$SwKwa#bMshdc}%_h zeX}!JaUwz(s zbUI+*6;cIm-l~aUfr*P|Hp%CzQ4MB zY{Dt4=kjPE_cBzxs_{uDa&fuf29r zMF%+#u6^{~p}*-X_pyT?{xeJ{yZ(IgMP^|pQSEWengyr=LA$6ZTQmk0}OOH3O z95^KF{Eba9Kz35Og5>*WevXX06eQoXKVk?sI>~LYl`-a}P%R^mAo~mH=$8`@=Fdvq z#^2B+^JjaAvJl_53H|OQ0Sa`D{P_4Ze7=B_gNTzDF~`ue)^bUx;z`hUUx1+Zi6*KEGa{{Z~hUijv|7{auE~ z>bY4Gj&D8d_aa;N=WhS~61Q$GVNi$&i{qRyH9U+lWI}<1q#l3Ezqr#P&Hop&{tMTd z^}>s(F6&s}-uhSHe!nwP_<1;0^TGF|V=7#7+)R`H&yM|8(DJ9g_@rE4OY%$oBlX{2 z$vZ9h|M}1#`D~`ki-kDuznSpo8M8zAC0U1H0~VY5vfT&m+n2O|JS5EYf7*t#_qV;9 zeX28s7tSxw@W|(*$QtVhU5Y=N?iXq+ z@u>)ZaJew$N%#GIAIrG@$Qyc>+gzK>@#`1UiT8>V?DpPQl~GT6nXJ5v@so$^uQMlR zIB?9_clnctia<|2!-p?kj0_SE?|COHPty1za$vR>=hE4ZZ8`a(bJ>b-|NHIusqBIE zGKK>jw|(oGIIJ98UueC0`KRg0!}|)VI}XK9_`}cfQ+&x6=1c!rH5KX{s_rkiuh+bE z(#bFNUvHnfod4_do37>jA}q`fI!pFXZwc-FwnH{{d(gVl1My{xykFKw9G{}8_4>er z%NtA1pV2*X%b_8${#<81H zZQr(KpMAg_dru=1i_qvCHj z1n8Y_NNYVQ|Ged&$mzCM%98sz?$4^fJ?G-4&~+9CFHS|bF0W>n-ZA;;zI|`1FYMBO zHp#rr_pROInssM{dH&B^WIdty?0o-1(a_t|{bnuQuXbwc+Fk2&Ti>MZniSG!d#PA@ zqKnp+Nkx_gt3K(@kLsA||8LS-&+J)0tLqtGdfjt8+jD*Uy6U9OCi!J6 zA7wnQ_xgYAP*ndyv1IAvW(RY0X2ou~l7BySk#6C+w&y0B7oOSLUs5Pgsi?%Bl zpZ;-mYV=apoi~lQ7T0X8H;(zVbn_q1IOfl?BGRez4*v7+G_p8)Ei>%P-Suy8ZS1R` zb|ywtqubtyv(eRRW@z3?{-3GqMD#1-4PJZ3$yd2`?Poiw`zv{S@SA5_TYA2Tekjci4!?PFRW{Bh;+Sfy`w{$4vfd0BpP_dRi+ zkWLrpzq*B<@1+lIurj*vn&0FbN2RA|;ko1|3Xik5+=>nVovZJvo|fn?DdD(1@^|`F z#lqA={Y6#1+{+)o-Z&%Ans3=j7Dc`TI&Kep>s4>XDPEXV^(f<`=w#1Xegz`Mz4P|` zd$ghcq4T!tuPdMBv|nR+{QrnaDd+7lncVD?v1@0Er|ZORD$bDj8?ednRp~jSLc50N z|K6SU5og*tL*49IzS*;tt%rQ)+)RnCy09yI>QWW8?6uG2)LsiTcf47-Qs`;j8XnD~ z4JS2?>)cbzt{qxnQslR$;{4Zn7Y}9~UZ!@lF=i8|eOCSZJ$V@tw?k+4eoK_q{IU7? zvH4~$hQE1T)^GFrcDT(sR8-t=k@)XDi%)%zn3K}k{pUu;wSeh55__ygS45T{JKFQ& zr^D*ySBsvltt>NoD;|H#{lb)6QqqEtU%b0*dh$Y5-p0dQ)uS7wckDcU*SPrWw0}ER z3W%?IwR!)Ui)UIqW+l~gOg^=F(V@-$6F*v~tDY2eJH2LYkFLq9w`MchncwcziEW?1 zWM7rQg-r?j(p{Le6|D-l$KU)Z^U?BupYP<(Ro4WTZCbQ_Gpp7s={J0aS9${cXFX46 zj(#_DXUmzn^UOT9rJdV&-T&Mbi)!iX^Tn$Rbx)i;+18?TT~W{JrMwtgGi7RNVH3F*v@QQ@2;5>G_=>XI_5ztCQP!RyVD# z>kLzDl*RFd&&9KX_zjDC*4B9}PI7-F{QZBRMe3vK_Q-|xzf}*mb)DeIdAv$39XOJiQ&3`(UT*tJdO3-uQ~i{Kdk7P zy6E0%Zf7>@IqK_|lXePx(GtaynVr zm#X*gdu%q_`o#&&Nq>G$yZW}H=(>wB?|qIb;(ug!cj|?dXgof)Lp>tq%gTDI*5GW< zT?rOjb$yo1uIxR!N8$6re@7oj24+N?e93mY@gVIN=aPssX*HgKGpdD@Ux&2G z&8S{da6$Rvys*W`&Rac^%yp%Io{`Xlje=$$>qUIZx;9SU=ziyJuH-wN3Z)|k zpToi?cLelLyzu$o=j-iR{Bd_)8*gjNsrNJIjyl~HAD^ANKmNDU<7*|hMo(t?M;u(V z?!3|dHkOyn?NidPPkySbx{XP5{qN`39?15^u`g$``N!P_kvCd5EnhpO#=UUMfwrhQDu=t@*}g4#Gg)5Vab5n8HC&%l zS7-7?)H@fxG&+2>l(#zY`o`Ju@^ZnN>H?3FPFFJ@StcRdoJ}g)`|T#`X6}X`?I&M?9m4m-#^_aws&H+x&BoX z`jR6S#V3P5u@wU7x&lzft1Hq<|TJ7V1pD zV-nO5yRv#lN7aGF*Y2JDdG5dOxs2=HJcmzR*PJV)Kf`!c+_6ASMdd3A>RDOOx)^3x z&rUvQbGu?jSQE4MCA$l6jduR1{JHw?+Edrsk52wAm9q5gkK&s$nFqb+*DSuW`_GeU zOXe?MKfy=LKa;6!#RuOlcj_lz*LZ0dGh;9N(&oFX&*W8FFxV*na{rn<)&I`aM(?g$ zZ{OR$oiQm<_}seE=gXFMRv&%FzwcpQ>YZ?Jjc@Xzj+@xx?n)m&ar&WkLft-I~G=GoIG^}RC^sa>p;p)B~!c7=4!mCTn5>Ww!m zq`RB0KN1@~ce~n}S(>>s+Wk~@(;serwAAe9qc>X0vWFT>RjiNKH;3zAIenY!)Ste5 zZPr!iHY8?T%~75DBgFM=;pusq8XNCROp8dJD&Z1w;C%htkhSb_>nd-(opy6YlS!Ct5WD{ddKeh z)O=S-l;?r@`!;fBe9`W-zVUa%hn{7IUha%S`!8)$%2wU`x}f)nFz>xJQgMEbq0_wA zIfiKlZn?u#u-M!4d&_^;P3l}8lfk`5i^+pp)| zyYK({UE5bk-Fp}JcD1}#k!Y!!A@>By0I4S&iAl+6PuV>*I$v+t$P^K2IU_Ri=ERjN zOmY;y9r*uZ;>s-z3F6Wdl>hG+5K35}`6N_5ldH0xRjW~k@zc6*3}$=`(&qNk{Px<~ z4RfbXeQ)m|FhgD;^Ho|hV?YwyiDsEby%Qlq3hMqFdZ(H`F+E>z$GGKL34@uPo!l|| zyNpSE4jX!Ru2gn7DU!rnQgJpTFN;5bedcWj#d-gQo5C(gF%>>aPb@4iPd6(qNMvhV z+wxL^@ts+{Kz4)F1y+tS<|u}L8IlWfUNQXHZJL&%)zG%J_jEj4=>*jycSU$u_GrDy zJ=55yw_a~upO}Ne15;~QuGj9HqewY8=p6RB=zn3{# zd3;3$Mx|f26mDUPxOIb>QGSW&Ohq{Xw}zFAkIFj)SBqa*UB7?j?3KNHSKicqaQ>1n zskI>KJl&n*H-rUeDw*!2R?1(U9i4a^}|>BP20OyN((SB z?q;gp`#<+bJm<__-h{+tKE@f0Yjb2K{_p&^iY@A&>i&1~Igc4Hq}MK$mu~plzyE)o zd)UaJOM< z_tigN+u!~-zWcxA=l|oM>=*snFZB0+n9AF%{Qt}6e$zkjzyI!)gU9ZD&Of4E9ILoK zd;v??gUR`S!6KDBzIp>cmoBy+ePF<8q`FMQl z#{GFWM0m`;y41yfT787|Lt3@1JNJU)^L5xZ7+5zctk-L}{;Y;^nu5V6dFk4vmfcU} zSJ|t^nK5+Nzp@unZ*YCQU+B8_C7G1}Q7`IEa@O~xF#cnHP&f78oU`?eZy3b9XV){x z)OY0l|McT9UlHqnZ6)!Br}FIE!sRyqncUy~JhW==sr_%(vo`$GF8Z|B>%UR)KCvfX zybLEC-ER|D{VUvV+w~f~|0+M6nRYS$pZZDk-KVO~{}y|W{aIdrFx+ml!bHK0 zGCU&tMZf*}qS*hMFH1Y(96rQ<`yaVvr?$kOUvvIeX04C@*Z=4FZBCXdhO-l=KXZJ> zba30(gRk+QMvh4e!e@%f3#cAN4{P?~6v+41hTjrH#g)>{X+ zIhCIbermb<)1uWP5AN*ze!9YhXUh7X_H*x7zPnzay})Mbd4r=FZqh8%&ICT4om#KH zpn^G3$#u!`eIE|Y*u8J&(Q|YE_^Qo6(D0^O=y2ehwcAh1RsX-6y*8-%?$X&GY!}Ma zGitsu{r1CT>-HaxT{i!k%3nTz!Mm_kW?sjRhfg2;JMx|@szszui{-%sBejKR7>?@A z`F?ljyJs^Ks&zkmrZSlFMlvrd=LlWd^K^OEsfj_4bA+V-|4#P``syN^!QHmr_WdsZ zb0)iA)CxW3_;E9-&c|ZUZoxx0-<|pPxNcYd;h@BNE8WE$^K&@2`t4lv=i%Ek=3i^# zHMa^*pK(kn|8L{{pJ(Rh&&)~8JzQhwEW>l{=kGw9ijSdca%V%N`0eJ-w-YZv8r}cG z{OY5)$E?1IQstjo-}^Y;h_|q-efU%IjK=Xk{l2=WiD#{K=5IUrOZNJ~Ru^HnYOk*c zou0SMNvU#RsjdHJx%=~$m=xEqJil8$i>we+m2OV5kUlx*-IIKque~lR+6B|U>$J<4 zoVdTn^GTG-Pf!2*ig!CwZ*0jdE4^Po&scQh$$wqN79W4#w(VH7K;Cp_nVZMb-HSBm zi*Dme>fiizT9(5xmwUJKqPM@w+%=)tdAe1)Y1i|Wvla@RT3+!Wvfezi_|sqGJ@cCO zcfE0Cim(d)5azXS!9PRihKk}@kvHG(&~eD#c1d;$@%nKjR|}FoNHBdZ=O+iUU@aHM*mfsxFu6&;xwg? zA6LD&q`l#!$ceyp&VLs;96R*8-oc}=(V{m}O?%s!%a-~|K7kX1XY}%0dP)|GFPMLi zd;4>zmrfI>xd~stSDU~cSnvMNh#~lh-~AG&KWXn~a~7KD@As>TexP4{mP@H+TEfmI zZNb{_ToQ}k78a{y?Uh$kZMmGfbMEV{EA+%RIlMf-(j-6nMeH~J3u()kOm%)dJ5uj! z-o41czD?)#@xIw=d;B-9O3$v}bi~2H!ow}W*5#39ZTc#+%of+#AD49Gce`4;y?e0l z+&#aW?=0BvRlOJfS{=pwJ48_N<>ZG`%3J+9PrheA$Cx%VrF@S5)ZN;4TIFvZxreRp zeK$R=?CzzlmKqw3r>3e-+s3p}Oliu;Zz4Q*>eWS;>YLK zqUY7B-7ntEzs)VDy)x5Fb~OjD&nw>0#ZApW_%Cd~9#y^bEvIbc*&j}_Jl1-3Msk~V zri)3x*!NuRQaZ<#DP2osayr9K{V#CpHj6y3^K;A6h|RHn2?f6URjZyKbqxMAvr22` z@8S=v)vsRF&px52Rl#=a$!eb643n#vPWFmV`;|B QE#3MH>cANMtmn!Kv*?Vze z#eHXqgWtYeG2e99uN*7$c=o1^M~;cx9C4Q^UX{mV9~JW{HKlSpt9S{|{Vj@i&nv(G zUFrLNuFboEH?KISclt+o9en9ger1(Ut)G1T1(yK#W!iz)KbzDiZB1J0@Wo8-A5cApCx;-`Xtrl#nKYDMfG)aB_|2_xmoWo>vg;@^Sm!5 zxMIV%dr`rM!g6-J>el<6C#w^9hF!5g;)JTlMP);#oZa7ezq8+&QLP}iwxc4|<9TOU zknOH-tfup8bq~#$+3-oD-d?J0o$8~>f`9C}Cr;ITvnO|w%jVKG6BmCta+OorEq3ak zN5$@UC(7R|&sDEUn0)u*?vf_X*6zoF(zQ9)Uft4m`eRwLORrGkz>Kz8ugOyj;`b#z8h-i|j@3Qstg&tyDPzv|%> zzk3_@UX^+CB7C=tbL_54iw~DfZS>Dp&i-&rtv@F(ZZ~I1y^d46z3+cc)8g+TA!~Ypkrs zTW`}pYV~Pi`Z71AXO!&tT>Q&Cwt0!*sUnwEd8##Y4C3DISGEw(lVvhw=-X4WWYSG{ z>9jUyZ%dB-tmpSJbQhG+>C2iug!a6T^5!6>hM*Y#3GGyscVOqNzGqZc-`T+ za^v=c8@F6taZ5~ZR#ADq)AKg|%`azo*=_zH$tm`!oNd?BtQVq2^B5)0&Jo)(L;6&q zwTkXNk^Hysd6gL3$_`)M6LsQc`Gx1=Nza{}CYL|RZn(B?;(y-1^O}#F>VDWZ>B;m7 z2OnhU{`~75H~+_U8RL5mE3akBZuwcVbknW%y%$4obgSOJVRpiATh)V$@LLG!z_cJrCuGn=<;b@?GPjfeS% z_FrLSbc;R68+r4TF{{d=w_C5>V85wm`s>l9#JR6~x-*M} zK81c=K30ZjrSF$s`|bCa>F>N3&nK98`!d!$otwU5#xEJCtLEF*PVeMD$jdn~f6cAK zC)Na+JG@?<@g!u)ESDX3Wv>YyO?|t1OYu#HZ?BuLwccr4w`)O@klTT<$7#Q=^RxU4 ze%L8|j7@3dtqFz)9}0*yUX!?@)>UgdNvnP9y;pa9cDQS7Y<((1PHSn_3?Xs)FKgyCdfl33R~7m{F0Sul@7VrR``*TRuTru% ziMf{>+$@zadO!bD9;=?r{NfF&S?(8RI!P<#DNN80t76ap5fZ`if8D=XHzp++Rzdws{t?o0kbKTJYaoMTvHJbh~GwWGc~k6-rvJKp*J&?Vu(zbhx^ zb*@TO-X^hAKf=YJlmF_?JM|SImd_YBOmTIt^Zlr?a$>Ulw}%%K8V!sEITKBmdB4h$ z+^^P{*zh+lQzYC(Tv?i{>F{EK^KRcOjxAZHV6W2I{m5m1?$(1Yllj~prAK!uv@Lz; z#kyO88T z``oUMH43-ywE9~)n$F_Qk#3ln^y9)&tzTweS>E53IOTr-iiX#lZR-98QzotZaOlXx zWfSgHyBSt{oYCQZ7F7S{l8*1USfdHImATj_r}o?RJUSgMxHzpm|Kt1h9$f+gQ+t_& z1T&251rxs-ET1!>=;(_T3ukRuV^gF1)vf-4@ycg+j~wpkzV$AC+OcU%!v0viOaAk> zwQ`A({>8IjGJT>vikcX zgnhHwne?m0pYB}E_ZL0A>(IK>y}{gx+cfy4-U~!K?#@-3{XIQ%QoTOApUxNMYvp&< z7awI=Rv-LSHR`@eQ2dnl^JnM_Z^_mA;M1Mf)Y-b=ZnKw*hgQd*W1GJuSZXt-r~5uX zHRFDZEz7lw?i0NK9NK&)@>2@GnzqEfqkX}h)-rX8k7hd6&R#t4VBJ3%um8mkTA3VA z{`f7>{!{&1<+NQ`j`a75b(*V`p8b(jTd}l#Msm?mk^4$qg7$6*V1IVr^+va+zbfr$G4MW06<$ANL2%a(<%1!ko;O^7^Bm#k-*W`tP-}r}^!; zt+howDZr^Pq;lc~KWUc0l{RlyGIx4Uc)os>!TCQ&)^2Y#TPn?Mrg4KeidVAyZ~AMO zgATWXN~&MVe_@`u%ckDn+wgR^nyW^s-z%jMT{FAn!0!U`8ns7mZ%=Fbe#FMh>3gKH z%?~~0;67g$`Q--teWvf;T)Zw>ucahrJw#~D)UVE1;h%A)>ZY$BWLjb=|>`tHW0 z*Kdz>ak+`UU0l1T^5dsD+vhL-{nsauKVs*OuoK5;-r;-|ce#Y&?2`G4dK<+ZXC7Yi z>k@0q`#&FkZ8_<$(Ggl+UAI?Ar`Er13j3?Q5*&wgPT#bh5P0N+%+-izKUFoh7VZ0c z>8;Gdx9S%o3f?d9uF(9#yyI|=V1)=Qg60=v2$A{ zzuxz-VZ>*n_J@=Dr+KUH=AReeVOghs`F>=yM1YCK0(Z@8 zGdw2L$6qV3YvwGOmL+*Q?xvv88=(KFTS*ze6hHaARENbil1uT2lv&7BhWi(LfNZ>g)j z{Pb<|Vaw}*@)yEyYAmdF%oWvKd-g{~QHs^Gn_Anu>jdl1<}@5~cDWocU*6lrZZZF( z+YZn4$uDv|?Q7!9jxv9ly-2drW`1(dC#|#zpeEf-P0lX^;qo7Ior+l zGV)uPzqsBZbItmdy7Wx@kPl`XRovNyZ0}w8sB~`L7v;J|v;5!Q?G85;sh`9AwLjX= z_2=2>G%m~Z+T3GP->+XWMdf<*%RlQBJZ+4U?-f_O>{gFh;A|k`e_&3ngPCgejjm&g zzs+hmw3hhTz1t-o*7{t}aAwh)*f~C;L~)bsr3Oq?ug8}upapYX4mSiYl71`pLARFoL-RPuaya=X)Ear?zHkr!4K z1>CCmm6+P3+yCvk@~JazGmn^W=J4cR%&Y92`zXq2OZ~suX1jm<+Fhi2E2(LbF1z(i zr>%F)l}s(#!vZ2MzQ1VVmU^mh<7ei`sj(tE*G*rb#wRRtQZH6{X41l)&)4?cl}nf) z`rYwpkg0AnYh6)EFV_LWuUqiVd`rU> zX7$UHcrCgnCyG12x-x5O?qQwXr!U8Sbvs&oesbw!@!PvMnrv;=Z+c#D-4OqH?R~+6 zI%h>~f6NTyuw6ZGiS=u))}D%wdlh2zN+V6YT4Q)>YO}7idNuvk{>*sA#_2~qQ`1bb zwJ9?SYQIX~Zcg$xY3EVdvuNJDRj-b(TO9G+bFx*Oz9nC~w~QQjxS$!=6T?uwb%DX1 zVu8HgP6t=H~K z>=Lv2(NNCF&HvOz@TBiI-Lz;u@grOH?_D_lr|4d<+7*V<<-4@4@^m;O>p=rI}f;)=uVHeE&!PTMKUe!tkqt!8OxaELeiW`rKx- z^anA%n&oC799XEZT>H$i`_n{X79|CGu>Q6`JEyRJ0k3DC)z;@Px7r=q8@#GX=e+T% z_y|d5DQUB(8{1sMN@xjy!*1uHW`oLblc&b*{Qo)!{z(Y(hiduH(3R^I}t(Y_jTU$IMxEjd$l>J&@vgCO>A+g3LcE!9OPGbrq$TEVkPGv-{S$ z-ld5uzvimfADS-w;qA#w{`0fy{-ycoRy?iv$ZtCWxe%ZF*t4{Qb`R z#ZDsDvkbDIoLw+`g7uSgQ=W3DJli~Hw$Dt_OB*HFR|m8*s|eXnd^=gNGNVXF$9`de zd6U~swr!_=IDgBHOLIE4;aiO7>x(i~*BVYuX1uWTrNN>cCWgX~$A$M8$J^feV_B0V zD$|#jk$Acz)@AZ1ZT9c({x^=+pZaxH@38;At~DL!7U=$Ly{zc)>*}SSYKqU_&6?J- zqatDEqki}P{2aYwsZ(3Fu)SGqUA22|)tSw!PZ%j}&%S-6(cNLun-^}^_2Vn}FB({w z%?+AYu~B8Nq&;t0(EYWEFN!r5#^vtZ^RoTS<_A90zHiA`!1c$%yXH@mqGH4J6b;S# z$mgeau{8&D{MzgB)ieHt_JhsY{%19B(+GQiIdQ1Q9YU6;-?w^~t9v6K6(s~WgB4OV9rq`yJwz;hPu(&(y z9Fy;;OlD%Vo#8Y|i@q*Xx%TSB7m9IJ2y0?aW&?SJni~TKsgb zQ}y&bwW~|3bh`I`XA?ejC;Q~z<`*e;`~8K>YXnO*rq}7;Pd;96^u774(;iRb8AlJu zm`E->XYa?UE?J?ivZ_FN+wpnbcmGtHKNr}_b=PZR$hC)ugQ8q3=Sf=0FY>C1Qx|kP ztt`2sT%%H|-m)^qvf>rXweorNx5ct-$0a`b&tI`>{k3{mN&cg$ zLHUUPn`|SHHa^FFm-yrpXON3T^T3KSq3|%GrA1B|x zIklTVDa%JvGCsOvM(;L(1NRTQL`R*^QTy@pq587TA`|cYG|{ea-F=L?P+zV}{IWre z<*KE@UHkVc?B#y;V?oVh_d}Qan%4MvFM9vw*|`_;HJ#$le}3&tkTx=zt+gWJv(c_d zkDw6YCC~SLSd!?^u1JG5_K~`S^$D!*w;1BJWC`xKtAI_|liN zm(OfZ*Iypsva-Wya#^uK3va#DZq?+=xvQeh>ZCtUvGJYqXLZBdJ!ecs=80bS=DGNi z>-9dCiN-6fZQly+_tQ9&D&^I3^=z*~Ooi^8d#AtoPQSs=cSdF6r2bhazwAqkWMuC? zlRWRWlaHH5C|CP4$BV)-j?+FppUrG}y5Of#|0gEf%OS& zzaO=+u*}%tnESA+Q{3I9qnPn@#HoK8#;d*--L9}r2xVjTT*OexwJ1-FxP3Vv0K_<<@c_;nkdE&7CtGYxG`zUZ4IguYldV>yg(_f!be7Up=Z8 z|EB!EKXLQK4KMteu6^1$FLhr~<#M0vUjLlxa}OmM)_e*O*Na~jJbAX|5%%(9yG84` zBg0J%Ud}c*>KsjmEJ+e7XIz~x5+^`#NzC^ z+Qa`fggaCghgsg6pY8Dfj%JvT#N?bc_aurURAP5ov*{kaeNAcprQKH+UhLU-W6I6e zmRFfMJGkqoE`2ZeQ~R~z4hy?2Qze2AJDV=-NgRl2{rrcVhKKYm4{qwzz>|ERPjTe{*G;i>; zow4R+UdEM8?WQJ6mTL!nf8i~dqA%B@yu*si`QGG5hr?WyzSi4I7S%GzwX{q=IOp$y zJO6tlkLb3j>@}4-W7uO`=-QRs&w02e%eCZ#_xg*&6@jbDbDjVl@eC)TmZkZ@*mK~^f zw8m-PU-xGV-F&x@+gH? zwxsLNH_Cmv_};QAN#~+uhvTYKx3*5$ddk`%NB0>^#j_VD=j_;@)@7wL`yl zpLG5*IkZJqETpz0c+0_kYP$~YPWwc=ugu%?p?~`ksg-MU^%Gqm zomTmA^I1@4r7oLzq>gtoZ`|4Yt1NdsO<>+@(D^CSDV)EgKF+o5^PeJ%wXgeg7H>Q$ zbKO{}e#%MxTIGMulYNaGue;6p_Ud)C71^_lXi93Hzo zQ`~zu{hB=^STNWyvi{`q89VhiT$z6M%k5GfcJbcRTYjr)@EBZk`q{nF%4R{mO7oP^ z#7R3=%xV3w^`Uo}!28&UhCe5Si#&duQ+p&M^L6{B@>TCnE-%xtKjoP=Y0`YD4Gk9* zQ(idA>Od-sEau)Ns28TXD?g(W_o_vCydOZ~F24Zm4` z-YyS)WUx~|hx_i%neU!W6uYwArguga`>c`@@4ov*iaO40lPlI9Qxuel`!dDi@3P36 z_vzA!8ZUOGR9`%HX};tP0C-Bc!>gQI`GoKU<&jB|*n$b~_ngE%)|*yyW#^XOG+R zXRB%gK7Eoh*&N1G|BbbnUGYu(x_8wpZcZrGxoKhb@_>nuJkLQvtwwL7&}*Cqem+!Lm@)jbtkzoK6D`P)BDd{;fRwpOV{I<;L@iL|+)+7OYxkWoddTKT(Zd($V$ z=g+Ubx$^RJ#;WA5`4zCX=_PaL{hY7ee*0*C;iU7MwIc0}PVRnryI#SHcY|Ef zlFBPT?uwsVwOD%gPpQD*9TS$UHK^6G_|r3O+s%L;=bAIou8wwD{(r)zFRd)u%kS)0 zySI1mv#xJ0SAz2_7xF2uxKRFgj_|X0!ZW^V%I#99p3~FmaPL-r#JefG3p*JRH+HZvqcC8FRm#VgGdAj%|8ejcH|f+`~%q-<+CY zloD9a`Q3XKd!whi)5j!5^WCcqretoF(tfntQt0}HbnQE$<{#rtR^N|N>{im8Qhsp} z-x5Vr>FT>*gyQ9tFP=1+Ayl8V;%>@~C2_S$Hje}D9#q$8)m8C&FJt4bA^2A7K=G-P zc-DU=D!#RXb=Jp4S6o_C^Zl?5@ACJrByJswJ#x$MNqxZ2nh6bu*hCLXe3#ymFXZy1 zal_lgH4k63zJGgr(PlwC)to!ZZ)~H?FKz#nDRgq{^c8_yrrdX&>&m#ddiJvPPN|#6 z_O7|NXtGQlUwPhY{&XhRq|GI7&7QD}@0s#yx{?;tv2VI1^OLuEZ_O~{eqF!2TH=Lq z{XH4$*_Pe%F)dE*^;HjNrAXa=zGi7^(1r4Y6BCbAE~p6q*~#jhWOwCSmEyVcajC9* zA6*ymuJ3)dMe5|KgWCl|`fFA$=s*5Aroc>T$E{Amr?*}2PdHa<ps~lGlWKCXvF-pp!3u zT7M1MTUxvE*vChAIH!G3_`x+r4Jg-5MsLx9hv_{F78nseP!Jp!;;$<3m*<^R9JxEafj=v)?o$ zQQM>1=H(>m%d?kkG_`!>#px+3Bi0}D?Lzo#OOfBEi4%3VZO~qOLdWA$dVJBo_3mZA z*A_PP{n{bBsq#okM{+HTYja*2m;VLMO?$I5rk!4OZ;tyn_kw-z-@83tnpW^=*}a9j z^?N71JHGnp^9zCN&OBFkVcn9EB6mG8R%4(Wx zm0w=NmM7VQx9b0p8vBAT_o#nIn9e-`!o? zj{Vyp6xQwg`#$sKlU55`pPyUAnRE61R?CSpysTFD+rOwU{;qnqyr?W(yzoPKx4JC)91}Ao<a6uvzmJJWZD z_MDD)Ial5;J-Bkq#9Rl}3tv@u+`sc~y1Jw`DB(`7)0#Wp!HFw6pZRa?+mS4qDZFfQ z%FL{tVJvSIguhVfeeq|Ie*?g-@74vVCv>*QWcfJ{L+|v>USh{T`|6}K&o7Ai=H~rAVH}~M(>0+>s>QdqEM?A> zmWXu^Or|}&_%M01qSN1%Ophye$N%5dwDkXX^Uq54(mHG%S&Qb|Tq*sL@*wjUXWKi| zd%4OU7H5CN{wdyZspf(1$MvV@FuP?}GG&_W<=8Hkd{LB7z+AOK3!7BU*`BjE zC39c+g)&$3XM2wL&f91_@$`#dDN7gp)tSA3r>;toi}BOH4-TP!cU-8Cl9KRSEU0*G zy7cNfhx~)?EVgm|W%x}n(&l%9=a)4*k0)gG?3b8y=h``gmCkRsUx+R83{&|O^e`aS z{>ZK8t^x(&)~0h-ZOZ!nb)(m2caOkw%kr0RS#2{6rn~1`$ELoRw&#{)XY<1Y7mq)9 zySVlv`=>XeuRk2S-CJgQutC`E*3J4u(T3Sv-Hkds41;Q?nJDa^ns`Y4(fka7Mg4`F zB7AFZtaM}8_PWmJlM=`&sw$2+zBsGj`0DIw`sGSZ z9Hu)Jch9hp)MxCN82RScS>+0mMsp6HUF)C6^!@2!-2YQh>Fxm&-D@E|I!RLmtsU7P zKNXl}toQio)L==m=kL$VOZj^3Mb-La8?0;tSMR9z`xs`M7ECD*v^2R#|NN9x5vJGVs(6rOOubX=RL0^>cbxGdwdi zobae%dR*tn2zIp+(Y^QXB*!{h_QYr2EMF{j^zAu=iy4ztECg+YtNea%53>_8<`!?! zj1hhHU{VE(Wqr%OUGtNpT11w;)83NKxo3K?-PHTbDwIW)OYcgz)n8k3q{zZ$p7A>S z3!g0JxYSr}+?{=UX>ItVgmbdot#UJ&V)sujY!cz-ogWxFt#ri}_T;NAvUl5Uy%aA0 zHE=(3*EQ~g5$@1}Bhc;#IE zl~IpB#vR%ik$B1QbajgGy`@LqwoZBA#VoyI-n8S7HpQ>hS22v-a6%@@TBB&T=>y^I zlWU7Mu3yk$FfY!3U+=yJ{xxQQj&0qk%y@CZYU?AvRqDgEKDxxbK5vv?ZNuG@vw3%z z)$fy{mhTlGe#<(aH_ho`-QVl=9IZ38*#ZSSmYUAB-qy|^HaVsFVs^Iik{C{7VcC|h zf{4h#y$RDIdshjla@6Oo6S`9HLyv9ukHV9+mG^V^yi@A(7d$?-DN;(#WB;LLoQu3; zFRE?-@QLwF%!SW|_m>=>JNF$=?YZi&vFmr%E!ZQ|h-lWyNR>*9y|GSP9#VdiI6%kW4nO}@A*#q@h`f<^VWbBbq= z8cVy2E;(@Mvz=Dd9?u`o*iQ?5Z@9fg{mMDndaFann7;pH{`_Y5k)Rv5#ZBw(ug_AE zPyKjL*EBpzi|M`Kl_@o=ZeLYi&0WUhcgsys)x2Wnyg4)f&fNd}-l{35Z$CVuz1^Ux zZjZ4>Xy<0O`BL3F=i+VDcym+{^VUH4EaVBgQjs@!9n zJnQY&L+2KxGX5x=)OF=lPM7{yz52J6RUe|JyWh(?xOB$*>4Lo%O6I;@tfpTl=boFj zC}_gYXZ>fQ=2mWA=p*BMSbULEzOH~+fj3V*A6vZgpCZX8((&~wHop`nZ8)R)cB5AUiC+{c~gb`?@nyV{i;y7M8P@x*vrMy8_rBy`&Q!U4OUgU~Krboi&Sp8-$*)RnoF@^nB{XvVUXDlnrmqip+oSu4_7&A?2EMCheUa zgIG_dlO6Ak@_@Vb-~X|f@RaQNQs69Wy?eo=j$#KBhr_Rz|N3t1`d0S&mREB(Z@DsE zspLfU|C;-}ylQFwXM%)#XZ1B6Z|^<$WkqFOk$i~C5urc#njSAY@t^(sib-YD8%>!+ z7!5$1LAD<>V)WEyGBcX2cv*P6d;%k%JCm8o^uSk)qT5}TGtN_IG6Nqqu>Hq5#&BsS zGmGtkuNb?Pnan}DMYez9Wm+Q7WDe3TvVDy%(+hSca}%&pD@~b7rKdY@XA<6S7|3L; zGyTyXCgJV%wM_p+ru!Ub65c*x64NZ!>C;a#2~T%e&d9ReaR$>WnQ0f8M7ICm!sNm< zec?qWk?rBznL?SSAGpROvi-nLCMD+SvA38+rXSeJv~~OHy-c}G(|6xt5}E$s43pdT zq618~nWh)sV-nt;aF|JvnaR>%d-E|S5oRV!!|8s9nIg7-JPA@!{*8%u`^_^<>dZ`* z#@m@LFwJLVw4Ba(fk}A#){9KstW1`slMT6qw_m-+)XqHp<0B?BW-}wB$%!l)^;e^_ zi-nJG`};25P=2!4!k6Dm!UL~tWONqtsCdfev?6+wjhWR%Re4Xfg1W!4+21{8U5rSW zx#ZkV*1z}mR`1_k9d%7nY}Ext(Q_iZf?QJ;a_7oa*$SOHCAuxCUL$5jKv-)y=ThB0 z&XT2pp|2d=qg~Fd44N1c>JqBL{^CWK2xon3=@iyi5)Jnl%6nS3vE7x~#;C1gGRH|Z z>4s(b0%56xNj4J&x^*gp7-TdHGQ&EqFh_Q^2Kp&Fa~)ii#1&jwwpj4yS{W_AE6ZBA zZkTF`gsJi!Jyev+{A`V3XyO(p)V^vRLcygS1@kL>#Y7L_j z=?nGg+Q+?Gy_iI$PAK0ne{jc*d=ca>Ws)A6-*JLi#p+GLU1fXO!^i&|1R$nD0GN$vD z9Z`*K;4PfCI-~w?mxJIlPwuZ=PcDSp>~&&Z{Y`A2%i(W)ODI=ngFkF1P`Df0TO>tuRjxU=Z zFRBTxj}gn>7hk(;&B;TRwG7vmovzvy;}AISGXE*@uSsR5@>jV#^DceeVkgVrpC;eE zolCay+JrOKI>vL7^BiZZ#CX@QnYw$Wm-U3}tH0Q7Y(=`|}mv48dQ+gZx9=9w+p zwbpFWzLjQH6Xq9gkel;8@xg)byb8VtZarIn#h}S+sno;&w(rWaO~YzUe?_nUc&yOq zo`K)D2Xj6#ztQ<``|f&gW$xE4GM~5I^4zw3?wgC-FZvmoU-e`EWPI!8!OFR8_g??6 zuX|e)si=RS-~agKV#P;Ke=nP$7dZ9hhETf|_C4-jyWQPaoYQN2ta-)gL88>oOKSU+ zf8^Bd5-8Y8;&kDJ->y}*+^4mLOO+nuGBZ~^^kFQ#y&gx)0r!Q@}Y3WMtRYg

wWCEov^x4usMcfa+{+yAu|(Ki|2@%-0c zRQ%iF%h!dsR@`$t#r-ljR5WkRs(Wr(s~ivAeRX;Qp?iQKolvMuTaN*1K)1Noj_q0hVHVeo& zeZ6NpbK-K&Gf)5gSyHiE?6}&q%R5>8UyX}<4-w%81*j}h@nRWC1Da~pAGk9mt-LiYNUH!4P1C94O zi!U7h_j=Yh%gy#>motA^oaKGdv-_pV^^2MNrup4Io|*5Ee#>|H-afzITT6D?`IR$U zrJ8P?9Z@d3@!hf``;MAvSLa$k4&NhiXhGH|xrUU6&1DBPCR^W=-P60yDep%l@5x(g z2fyDw`LS4P@+nWd^*0-4M^8$rJ;C{1uio?Cvn{>HTjy+G3pR+Fbo6Oh&<4xgv!8d! z8d-{~vd&le8Q@uz(3fdjuU(m6rhe(tnRs06JmH0dH(zOqtr6#amO~_4^I1%aQvqC`Xs^$79-HZL%m$uaio}Q`oLj4oB zbjsX%1I?RT{2Hy8`Sd@TM{D-4f15Df_Q#yCPo~;CA8vTES8Ltx<(?giQxbDm-~8{s zZoTi0p0Ev!YZD6YX$ji2#+~G3o;~BR1FI&BGdI5=d-N2$2dhHv=(WFMTQ}Lg?)~<{ z4X1AQ^_>eV)S9y=Ppa3Q^E~h{;*wjDji9z7uZ?x4XG?O_ z*J_#hOfPyD7#`Ri_H-Bj(k-*?rgh#w5j*K)Xw+8LWi!1k4i)#*#%X&hsh?PSsB>nK z%6gw|S+6!!vP}=Qzt1q^#_>rzY~$TlZP823GtR$yy!7UAv*Y0vFM8|MPJDAbnGw)b zE%bWo;kL;ld0C#f{G66X_h;JKcs4V|F=`dMb6$^_(x2>;ur7(?Qq@_V*YnQx)NKoY z*zx#{zr~YNd)UHGrR7|G7SpKwF2J)W@V+smq?4+dTYzZ%O+u0iiEjpq*r?^j0*m=w4~U>N__s72`@}) zj&j|cs=-+(JoTEMaFD&~j&;jVDz=__+cJ4etNKH!!y-Gx=J)*gqCS&F{Asl9q{1TZ z4zDM-CqJ4!jZ0Ud+t&Qj!$p%-7~S`6Z%#j9dEkljROX;Xwue?}PnT``d#SzH!J(ku zV}~p&iv!!{u8CGp+Y<{V--HO7Yp-QK&r-rJv2XFhUp)$e2Yc*1zvVM9d0c$BgZaR! zzhQybrRQPyz1sK} zPE71jSJ@|HZRuz|-BOcm`n7J9w=O2xOK_Jr1ZXN z^S>k&o#k<XFUHo4s@U z+Q$u-AFNV;y=dmnwsQjOl-{57*4s5PFmL0nQ>&_<&Qag>Md{|8=h?~Ue2+d}8ERB@ zRxPmd<{!4at*W1-XP!y4?pz`u=kn`PZj`0tC!^U>(x>dnLp0!2~9F?+3YB@@o2iiA5qtgW3%mM-cC60c3Wc0 zgYS`Z&Q49Z%9G?S?Y2EzSCC_qoAlZ$@9ImpFRr}#AS2}A?hBHKy0mY~FmG~-T0FBc zX1YvS>eh+USFb;l^q*|){5!>D<0l0*%i9+}o(o#)V#hL#kMHV1>lb^46c_5nZK}Vd zkZ(6H-b?v?;KEPLKV`dPZm}phm3Z3m{9Y!PyU5vjeW;0$#GC_#5BD7RHhr!bmc44H zU$j(i-=4+c!YgxjxV;Nv-ueFXwi(S+Zhp|;+gbVUpy2Ap8wZ{hKKE=t%=7O9XTY7@ zNq0nSpEfKu^yLq1Enlr+ZgcqeYR;nBB3e9&^)X8|Z>!yFOpRLFvsvG4^K7dpo^n?d zOtnq2z29EheN8#|{tN%BqZxMlV$MDLx%;pGVeTFqySjg$AE)2{ z8}k3>o3EGO8`c|1&eP|b?%4O_yHcm)LG8yac{r;*)#Ue#fI9QYxMuIyYFfK^fjwbsq6b;%l)_OgZt9N z#SeelG_OB>`O~R&57wM_J#loSh~M)?r;Z+ud15&K_@0xkXIoFZ9;<)!*+#y&a7Op< zohKrkjtLn}o3N4Pf|0EBTDiK}M~iLPlKUX`%_)Tmp|?9?b?<9-~asbs%qxr zZ`JMg{obDr+irG#lBHZwDqT7M{OgCC=1remwNat}VZ@OD&Dq@ZyBEjEl>g-W{h{{% zhqDha%kSI$|H}(g&E0*e3VRNF&#k{!rd5R{~Q_aR4C7B`|soNcKy0@LPpjqDVmD^)?He*-_1$u?UW0D zKh=BwT=QqE%rtdr&OoE*Pk(>v*L_(NX=nSAWov)Qy*-xy{{7&%RJrkVO+n?EXN#{) zZ%NKqnR8)U@73I!GSl2AoM-lU5&F|xd2wK}?{ewPsp;vlix<5(CU9@bo*Rk>>P?mQ zNTlcN?s@C{GyUgFsfDv@TYkNG@$<9!de;?KzdCI-od_eXG(Oy`t;H$5`dgm!A#mrCB%ezmXa&x_}W@1Iz4f8)`$J;zt+AC)Ure%!gc zm!0d)rcL1rwg3KnJ^Z`>q}SJ(bDa;ZFs$#C57`}Q8S8#-YODXXvfe93_s$<_+`H&W zf4je&eXZZO%Y5CwtLqIC4#ywfcl+eOwu@%nvhP;yU34eEef@ozzu)doeqUd;L;FnT z2Q|reNtU+@RybdMc4771=gp?oez`YZ|9E_1N70Lr>9hA9I-S41uJYG|r{&Y-^^YCC zzPoALspm3llU~fzb?(YdE9lQ&eR_Fp;O*^Ko?6RX{l81f?~|mT{e(*&H22q^y>R^yra_UGJ_i$B(slopz;w4e5M$v%e8)y>J% zH2nL0bIa`Hc-0TT%&at=7pHrwd-chpntIEhA?Ng7zdU(0B}o6Y_rD*WVH2a`l=JIT zdMu-afx3}eqKCZZtsu0pBw+} za4wf?n|bKfM2Ysry`O4s6mskrt|+-(cqJ(7x#gbKdl!GK+@HSt^^)7FL2vwGO27U} z$qKUysqfCg?w{6G`sk)LkC&%<$G*>)xSz*qL>??jdd`n}WvlJ#2n^?rg zl<_96=Y9I)&-$4xt<-o6$VCSo9@Vok_$|8JXs2#lG_r@m;%Te>nB|#;Gdqx2t8&Z%ADoR`WEz z*l5E?f5UbClXo|n)YrFZ1%8gb@3&y(>d8w@ZgPss@``W$Q?~j4-{r~SpUfLSd0%_{ zv1a3vH10Ujc|75~?>6l3^Pm1+{L}Mxrr%lLPM7G|Pc|z&-uBCK(z?Gcn|#BrDxcnV z;?q9Ysc(ayeqWyToB5cT<4X4lnWsC0qJyXW5^4RbdFx-o2G_s~w?%edSXi%-qw#5( zf8bVo*XZeAa+`AeU3U3SxTxDyGJnAid&g+;JGo6&+s+<-%-6JTEA3j4Wb3E+`Ya1MQ1HLcP{74Rcj5eFMlC+u4Jau&#b-%f(~6_w48qM8k6w$!dpyUOpKP>_uOIH!pLa3 zz3?7W0}HdUk>T`@Uzql4m>F4`n(7*usv8)nYjWxP=BKzMmZU0ZxL6q(7?~Ox7?>D> zl}x|(m1z;9`DEMa(o)7|T>5UAMa3lw#)bx5`p_Fc4ULU0z@t@5Bck(fn~BtYU;iL^ zZ;~kgdzPjJnR}isjJ#y3xozQz=EoVG4M)!DEcN*R_ne|;^d?v9mkkyw=f7Hu2TfrR zdCb$2ut21E8t3yFhwOVpIDNDaAE-(zm@>y$+AX0^T5U<GcD>*K9|dKf zp5}gzvAe!l!B+G2%}rG~V%};78|TzIR&8A~`|<9VlRgF(TKN_iRE7MBylYZ!dhFEV z7f&C(-ZM)#&x_|8%cX}8wLjF@{QbRtv46+%e}=b@Jx&nrH zSu9TDe>H#A>{+$JO<^+{4R-AKbdY)5u5M+PcURBfU|+b1_l|dBh=BXuzLV`g$g$kYFSusyqqaR!r@QCb$i@`z)!E-3oOL($p~>qcqgbB}FPX#aTHYsn zh5i0?XzkOpem571jS1%2m0N`uzEEtDb1H~!d8^eNu+H|-hU4`w7WaS8`4#Z!T!nGunYz6h z%TA~DoS(SC`res$%ldtH{&_0fGxMXZ)WkJ!CbLW`nXfW2<+n=fk}a>hF27osWj3dr zWxbi9-J^AC=e2frX4@TWZY$Sx5V^io!K`XixdsRCoHs!tfp^rlTzl@N(d@N&TX<}B zn$PtHy`w@)ySWp0uB+#3`m}Gen#X~5#g`wwG9-i)o7S1Luq>L*a)f!)Z0~lKtG-?C zO@1x)^H1$sDfZ*Up>K=D7HqMw?dUtedoo{9R$x(8(cG_|M|*kgPAv0kKCx-#n+g0H zDtFRvP6^r=+W%0Z?Q8s`hJfWcEfNdPA9LrO(#zNU`R1OWjF%Iw4yby3tQWZ{yhDtso#|43FLh>bnR-)xw`}^A@5l6#Zm+U&$+}%q zDVY>}TWfyu1Hd&W<>eU}I(@$j?tIy<0E!8@{bdJ@2`%ep#`?h>%Tj!KmBPJ)R zR_?JnKq9~BPQk+omU%mBQkaiV;kvQ=Jo7Kdw`&i)E^;&aIBmkcr(s75RJMQLI89>P zoYLC*B#jx~FSF9Fzfb@C?C+94%V&k_&R1dae|teE?foRZxTx)U#kL`~4?`I~`UWmj zpXkFmRkPISu1`wMTb}u4Wie^xc3jc^dXZgUpQ)@$zLAGgfBr=REkQMB%FX!wF!?e}}mw)jonP_=ZgZhicn zDMzpG%4uc(SW*>x?>amC(VLf@|Mot9vS@~koRjrVr~gNPCR^HbY0Qk;TlkNCs_5K) zuGGAg;*z4 R<7KPijL*vM%5_g_qk^+v|AT>8P8RjCTbM#fzF;R?})3dRbCv0VB= z`S~RZ#zqDT1`0u3`kr}d`3lBHhESf1LbQ#EqocXGsiBLZv$>h2ldGw-qnm}3tCO*d zsinDztA(4L0%0Y*vGDTV!pMBGAd_aj>J{${*;I*RAHUC?Z0zahWMMb|!q%XuT>>n+B3>I8aI|u{ zcJ2^liQUoh{{PEo$3LH|Q8)g4*4S|Kv8iWtZ2A9gIC%Dyn5Oym?8}XRS6saNCwb`^ z-RSxNtr<60OZp8|{zP%s#fu z#Q4eUs7oGCO1WNAr$v*`a!A zM^N?>&ZXNtCVRb|xNM5n#4?Rims=~ZNS>UsYk~BvyI%FmyHZ5Micc1A;8E4?qw{^MW2Ui@0oH=X_o6XRODKd|X+NReHWUekLd`s{XxJy*}A z-?n6EHeiuX6wYZ&tgCMP!ql_l>-}rzw;j^RX*SGrR^N7b$L$-prQ%ySD>&66pD)>K z@O0a5@7K!`)!#JTt>4go)O3mShV!|30o~sZGtOviHsDr&xZ(CA-nFxvl?z0kJ(Q4X z7e4U&g#XT1smuC)%+@or|DR*JJyUehXP&*qM82Zd}Rl4{EO`JqVl} z=YMeX{{I&@T50U6{WtTNOjcs&bKOZRGP)MkFFmg{wLxron8xnf%Zr75>o4%=Uf|5l zE4RCPvuuS!`)&U7eHYKU)COIBdv8+T${8kRUmJd1dj9Qm?cAkvJ!2R9W;V>eQmW}I zm2~B}OYtQ&x4X7qJrDQnDvX-$Ch@X(kzMALK-uNap0bw~U)pMNF2aA2b7oUuwEM(M zDi^kzuwGIB$f;_#&}E{KtCxu8%j8@2%vzWN~Oy1u-Ai6Yp-q{!O4p#4O{@HMe^ZdPC zOG_?o&URfIJa1{&rOfl|>X(-s+syucb~?X2d;d3f`&iz(opLt+bboA>vbihu=U>`~ zQ!{_ds|B25p8ozHlMJtsfswI+0hg+(tG^o;0QrDEEdT%j delta 25264 zcmeyqg=fY;?hSK}i(4ufDC8$)aoN~#>HDPSrI%zV7+IK^Pj>XttdEY&e_|$7_kF#< z27TMz0_`cH>lwJ;%w(wSD*yZJr1JyIoP>2fn`i9bAMd%yW#!dLckXVKO=$SIVz#f? zNvr)@LHg_eeV)AX-re{YuVR<3mjAW<;Qw7lQ_W9>iA?f37iuoASGV@U)Am&_%NL3+ zeX(l&RFlW?a!a%qtw{1QI;3GzR$u@0`E34B?_8UYsh-R9Uc@|$O!;vA)8(fbMW@#! zr8WiUyj{lnJ^^Gp?{#`b4%^G9PF!@{SkHqbKlDy{L^R^X2);YIV z)Gs+{T(&UuiA1e^S;o$ldKOl$eK$nUzF%s&VuA0?naM$M*3XhAZPH!8L~+*a&vV|N zKDK8|-K4bizfMwpi|Wlo_9a!wnS7}KF>iO$mE6*gWdcv^gnN^OPfY1K{VeT!oa*FL7X_!(C!0K#Nxj`Me`n>9^LJ*1Pka92 z`we~7?IJm6eHTnQ{(RY=IosqDJ~y#BKi(+FKmVA(^mOe%d=pxI4=vay+ReczXDBGX zmXWU~XVEzp<|Vzdk-5s^zODOiF8cX*hox3;=(5b>AiX6AcprD#+>Cn|d-$9{35Tn+ z+Gd$4%N89K@3&xeyDxocaWo2FOio0na- zWN7l;cyZ--jwhlq3pZcAv;9tGZAqMu{@mJ|?`GZ?xU}T7SpPl=t5`?_h)BMS)NX2p z?q5~5xpe>SxQBMn_?1I$&i*7NtXR*+-k;dhr6+grSY0DyokeG+$^@e;o6jC=$_-=w zTDZ!_q1Ck@^T)R+i?5%m-(nDp>-Mi-nb!RZydwAUclPCv&Z#C&;yFxFKkj#*zA0<*<5s{=hf{|)PP3M% zU;k#8S=IORf4If>cQ7toEq?!w(2v(V-0QNXAH6GUESYQaBkAv(1mVB$re53iw{T1Q z>)08~y;S#p6u7``ZEJq{-8yBq=ZxP9nf|*NOna!TtFX_Y%Stor@sjNtE5prNf2P^z z&0E8|>!GmB4$m!X9PVfctk<59|FvEG3wxDd&C|K{3=4uyJ(zD6JY@_#^2{vj!i?P; z!g)&)8$LQ)^=?nTd*q+Q?yxf-H)L^HO=~Th_WHTxG(|Tz@2TH;lIrHCUfFzxN$2B? zTJ@kj+~C!nIzT3kNN3 zPOVsRAf}*NEAfY6`+?TwxysiR7b~2sd=qhG@m8KK34O<8uW2b1YtL$^TjGC3>w?lk zR>>^!d2XxKyeHjwe{@q)*p$lue22|vEEl-2Y5n{H!OEB`C2}Xf)^7<@5mznP_1VME z$Y6I)8HWIi>ht2~shIWx)nQDnJEZmf%JvAk%cjRy=ciYuZiv&dYGaLO=Htv@ zaog7C_r-J@=gPS1rKY;sYwGKJIIjIOspwrP@n9l9i?sCYLf0Oq8T{K4_bF?Lp4Kyx zn$InB@*r!&Mk}SK3sv`S;(Oy&{Vsh*!2(qq8x3!v3$0&{WIs5z!(27md__^vy|&s! zzG5!Jm2s6emd_a?X9OMcoy2hRkyJywNyP1y2HaU%Nry`>t`g^WIUi+^hp4B<=VpF%T`RurBzrG1?xE3|dr0^2& zg+mEeIV@|w%;FXJ*4Vo%0c^eq#Pf^^R!W?wc z^jVGC0rlApdDHgfF?l?YP2GCmUqbNQ=?(QirtegUR$du)%WLV%mE3t8TX;e)J)d>N z_;nMLbpFz|rM2q!oagCCRT%YGWdEHc@=#RcW0Kv)i$!-rxUIIWRS#2^WM8qZc1l9b zlKjP@5vz4r!UUE}exCU7N!rFQR2}ex5x>X*7+D8GGbodc+ceK;YgKP znYEK&Xx0neeWZL$>~2_p*5lIVw(N~-4)n*KuMQ}BY^Gwa=GtPzl%#4o$69r#A?HJ( znsTuqi){>yZ@gTU9{h!I}drx|G%;W7M_g@n* zyT9><^c((pPp+()&G6yD54JDUpZKl*bZmXqrA60&GRHXnnZaOwF@s;H^}hLyYA2pA zTc+3@xiUxXr0T^9$|o0Qy%kh)P)n)bTbUWMk~B{Apcneqm0+v~L@M@n0~ zE^G23%~N*4+0ULWI>VN^ex3pUmRZ^B+6#ABSnS-`R~IzNj`mVO=*Q*<=Iw9| zeDraF`a!kGch?!)Zf=NTF|3PX*_imx#>M_ttMH|!YCr3RcAr~k*2r9W!*X-FQo7mN z5A~G?PI*o__N$q5Dyv$zvtsA-$A;&d7wGQYE;uu--r;rU6N3Y{{~Z!}&0PM;$4B|y zG0WYT3_4B3t~)kWt?@5*bNj$$psTX{;`$5BeUneGbG`n4m(fZ`eFv$X-)20Inot-X z+v^n<8lh?YV#SkvX5NZo=O^Eh&WK$2bc3M$JjXEg`eO$&zdzV~qpy)?&bvQS?92tr z_B0jq@hNd$b$Z=t!BG}@{n+DGe#<7Ntt{65-;hN~V@G}v2I=^pi5t`!LweS4n zZDLz`g>nsi+*FEIPkXtvOZMDhtqYsJy_^v$eeL6cp8~EGwv~;?cBc!(eB)bp+b43B zQ&HN_2Ci9=EBp@B&z)?$vO#SL)8Ppw^Df$-?QJSlaWh#G5T`N2U+RlzKBvwTsk*ZN zW*&_b1)o%eF7A#yt`b}R`9#;5w%M1SCrq-Rwmt3l-ar?YBQAM7O0WFhugiP?E?%L1 z!QHdV_2ci|sb^#A+wCtOU%oc}eckS<{(F8uef;;j_>Z?|r?30ZEnVieeg3<=dt2`R zUz!$QpcR+#>K=zy9EVnX#;Z7+Rqf{eYU@p8>k_s1uTWk8?)uT)zkjzfU3yz<;Pz>X z|Masz&g$s=_+R*JkICeV%)(42rke|16eu&9m`^TvAtGpGX$os@8z~r>T9{22U||wr zF*Y_enw-d@QNJ{p(_%{X?`>kuX1{M`tKUA8u}R*VGg;Pq$+0um$r8rNJ#Q66Hl?h7 z6M5>}L=IIhSC2{ z|FIZ({?0c^*6LVhXdrCTdvKfDWCr#LOc{&?E6g6PFylG*qapL}gNZA7xELR|vUN5z zi_h|6RNQnd#fxKV!}mp*%xVf#1vruzWv0I2zOjqJqRpkA!S@i;Gmj~fqJLIJR(@w# zvD&HLYpYr^rv=lq)go?OqV+8Qc$l~(j>d{gY3&Z0^52;ufp3z7mb0DM2Oh?<=ou4N zR(x1putH6QO{3yshDfgI)>z9OcPFf}_nXRc>57QtcO%ur-jn*=?e?!X>ghRg&|w8v40AwZb{1n4hsFZVR_2HH*EhKe@5^rdH#N)g(8Nah zSsNLr$nRp_zmrF!raV&c$4-e!KFSFW4iEQlJ}t}D{J&mrr?X%H&tul#`}h887r6Pq zD)C>tX`nH;g3$h33qM?CZ+N&wJi*bqUYK*nUAF%+lO%6Vci{OMeMqnV`mTDRxd-#_ zzICi&5cK`qZ^c)?{cW_pv(P*aCan$c6%O9-5#UM6Mt{0`E_Qxf*P9o$KUG6&iP7KLZTBu)M!&6Jy=d{?;F)%o)*E^!Caiw=XNgJd z&J{A;=hYT}KCt0Tu-s`+{;NuNAByB=WZnNdi*J*ck)3V9<9^?X0+x*-tsgFEtC?XotP!GR9PUf-}eH>_vcL>9B$ zc0YOQ>04Ll@cOe-ft`oUU+t|~%>ONZ($7ytD|U99sx>z~yR!GVn|?rDkC;VBnY7UL zjnDS1f3vRoYESGl1<$R&HeWyHcf;}9p)1i6OBcIxG?xApR8DUsh(`W%y^Con;ovP+Uo3mUvGP@v*cri(v>3bJDa}zBzZ2m&R~Zc2}m+Zu{e7qH~r$j+M{udj0y%`Pn+DQ)(k#ZV_7?ee~T0&Ry5@r`12Rat}1U zD)`N}Pi4-fd%O2${yQD>ch`Zvwe?DGe@vD88?e%3+3CgUexfSNxt=QKd48M9Wuv9@ z{nDI_y*5Xk-)Qb~KAS1@L&)^5wV3IR<45I{+Uh6q8uL&5ez8{man-{0ollbu{gZdQ zF7SKkc*V&3cionK9-{vbb>9%&=AGehyYoh}NWbme{PkLa#ZQ`5PcURBr+_@Nb{`-@Hr!UH_j$117ex}T{lzsaw=I$+F zd{Db0qQ%GZtBLCD|4X-NYffm+@V5xBw_x9qXPaODt>(k!u&&IqThBMKe7m|gW?@_1 zw)IJ`Z%a+dzkhR@aj(w|;W+|RLmclE%Y4iboOfaRvi%?T@w?0|5|W+J6<;~AjP>Hf z?NdKYbB|i{(bKW+;``du$D00Lh>sHDe`~@&kC(rvHzHWj=66uZ`ML`d6H8w-h?^Y> zdGF$PhG|jx;m-O`9sM^meg@t6!jrwt<>K#NmVI;VBAjm2o$gLf3cWG6yK2`@-JG)a zH;c7jod0^hR%D%%_>TIj8+Wcuoqn(DQ+w{Q?bH6Hnehwj<@V33l{@@0Vx#Qupk?)W z-E(fJXCJpxx%=Spa+?X44n|*1uB-R6bKV^A%Y5_Y=o_nd8E&r>ol!q+{?GF(e$A-; z0 zKXBLK4tld@0smQ@m)B$h)azzuUaEPOd_W zxY>?O{=IC*w`*6bZ@svi#9nr0j{V*V`}@|Mw>1osk-hp{J38~g-V*=CNB%k+hfjEW z(0E4r#AaQ&Gw-jZtEf)7FB9}|{=3^-X20Fmzjtoo3DZ-$1~b(?KEHjayyvJ@w$on6 zx#n-`Z}pwZ&|bf-=kz=NeFr#~$oG9Yv*Z8G6B-j+e_vwsulX=(OYM4gFYkW!&u-nT zlA<=Zm)>@0|FPM!^^QAddR8IhtqE^;R-Tzr>ZEG+OZ9l$1m!=8dC$Vcy8qk#^1Ig- zw8MW>ui8_OuhuWWeL7fVmm-jz_3sGhy*0b%g!ig9U;9<>vEPqlmdG{#squ>?=G05R zn-V3QzUKyi%iaYm4(L^M=lZEHEG~E~UY)?SLFf3Q)5k@eN-~zQZClabzofWDop-9M zh0HqhzL!&u#9XPl#I@AEs>4@w>-Ww7{#^JLZ>gtlFk!~8@{?srFM6waFU;|Lxrv|m zrtFj64B5G?2Pa4=uCMoPZ#q^gxY@?Na`SBI{nkg9YSeBj&ExL87||oPQ&Q8T=I+|d zbzh&&iM#st!gpI64`!jXi8YqdkG#5C*4Iy6sIp|ujUyT_Ewe-nb(HS$XBkCn%HEBr z?~?oaAZl}y4a@Jb5;T0#8gT?ok*(BiFtGM(8qJPZ@aJeoATlNpIJ>4Hx=rAmQ$2G^7_=2 z<=odbs^UNXXjb+8##p|r?`FmBDK{kNe%3d65%Rpe^vb4Jzbx6`-fNbSD!$0uYUBL% z(aZRaE9->X+kW;xF5?mYZ2q&pJmg#b?M>l3HZ1?*@!ipR-E#Bys+;!g`{Z8;h#?=-UO$~{Y0ExY0p zy0$I&sn}CC2bEE zO?_K)i=+6WRy13EyG5ac?X>eXk)I=;KNSkUw(Ui+&rVBWVeO@VjaiHSu8c}=*V%kT z+h|YP)A)~~8}HXX=zgr{yizUJc*2*+80r4={$;^acD%7I`PBLUcuT~e-XiN4GZsCR zlD2aw-Y{(+(+)kSE3&`t zO24kNTUEXHIInK;wW|>mdRJ%FKifz~T zee5J;b$Z*y+82C{x4Tq|HhHfTdwpcGh1L0~LXVWz-aJZOZ@YYxX_XlqS!*N#8BXivrbN-Pn3QE7HhHP*ipDqj`Uo9a&rR zE-&9Ry{dHgrVybmqMNT-?Mpc;l~np_5tm7X$}g45skdh>Is5af%cHj9w|yz96Ey!d z={{<;3zhu!ZzkK8!*-l4S$-2Ux0`0W^xyk^qW5dli5XWPFZ=XKcHie+Elus8q}RLe zuRl}fy<7VI)uh1d_io=ll4X*6!g%h2!`9hxZ$+=FHqTqMZqME+@-p5DeeSV|R+^1Z zSYOs;)}OfYy|;L_R{jyW(yMo)E$%mbzTrOISns8;dPzvz-J`c{-ajb4erbD4^~zxF zM=j-c-Q0EyWb5P#4UN|n#Qk)$SXNZl&k@2=oOs$`S1J1=(aYSXNBw-??s#IExz}=v z?1xI-62*`Ub!!qEJP$Rl{deNowFFbONB7w*=PN_{SeBr^m5`Z<38HUhXkcz+H2pyq zlNhtPrP1V#Z0hyBTUbNp+!WH~X?gIDCHv0ZyRl8qAK0YY+m>y7aIl$`U+PY5Gt2h} zeg);;3Ko?qY46V5`Tak8@Ain*KUZa4w+mffCL85dsvG9%y}{Ch?+r`p)0D>oOdhMf zUKSTISXk`1X<@M=AR}{Y?n1r=|9=E#lsXE8M{k&XVZXp70Re$u^=~FKI?Zofm7v}* zX*P4iWa$GZ)sLLiKXQ=q!J`KPfA|G>1es1S+|AWxT$RJ1xVZ*w{B~+ zoBw&fKSMLCazk*yg!xbVOB$9ab0lRmmN2bgT4<(l{JF4h10RF#hE`pUS6|~rc$CZn zR%{lq-re5LE`8zRR9>EqV#)O>j1@PWav5eRgbN&zP2v1;*T{kQ1;?+|re-2h4cmIx zzMjvhyFv5{GY2E%JXyYNVhZZlpNp8Qdke69sIhYJ4rKjsOY+GV^@ykb4BQXapJpuB zRQS*Ld-%6}rRe4MlN!au65P`lOrE}Wvgv_S*BDtUbeA7u``WUJp}}w3{zeD(`tT3M zb{AwbUNe}~v;7IQ5>QZI$;e<={v*78otQv$`U>sYtJfZWFL$&4vQ7NvHItW`+_)(C zgr(H=XYBkQU6z!OHSgoz)bn1y$NA>rlfUw(PhC5C=~cP(w7hd~to*j=CMf}^ZgkZiWnPgbaQUh%P**Z`;_OG@`<0f|K4d{zuowTWWv`wY$vW? z&S9NUzhY#nA=D&Ywue$sHQpUFZVl9Fn?#E<3 zNPpVI!1JHuZb$RHlLQ3lBVxolsK0sqDvZsodD7Ikt|| zUTq8Do^Aj1)AIP|-xpcluxh+=aNV~3^Timn)!C2#KQeFo=|lg1{w%1y_C#Ls!skza zzE9lbCzf#fe)O@gHi-%>OkbQTRg`zqV^yCL3_DmJ|9>GZq&?nP}%%GbD-n!??O9ek43oT}K) z_EU4F$(7!%dsI&ssDA8ybn*9!opOe2R2>(8z4!c}iC=Nia?#YprUmsj|2;OX>*tv{ zB{Vwe`tyrN-OVrjb2ZLs7s}n%J)5DeO7C5-`}+Dl>9O%IFL}JU(|0USbiUCm=a(Yc zTl}U3CS2sn?W=sIBPhx=Whzf6=kq(l#m`l zzh&QMC1izY9}f>JK4H4c?*8o!@5A|`ADXVd%e~uRzSD}u7gq)7*RNX6u<+N7y*sP^ z)*ZTeGTHGs`)tL-ZCQJ?|199txm%!$u%Ku#rx|PHiiX8KdTy|i=rQ@c3 zkv8t(L9!NmIeV?W|0a7~I%!wf^YZwaZA#I71$*PZEs<(xt*I(`o z4Eoq}Ah+?dj^c;LfXU~yx7W<9XJK|e9wPkBG2!r+PwW26_;Up{A67k|@JHt$Ux@3G z{yryt-6eONSv4|x7x!IxnzVVL-~_X2z85l|$620~C`x-1^>~rzSBpSX0jIwo7)x$> zUYk<#`^P1RoAI#^ZTOU?>lNv)o)TR>U(IKe-N|Lo%0q+}SjWC?TC(U!j#X!hd2Idu zPNv$b$LsdY@czh}@}zCbs-krdg_IXbuh*~?|McoZn81y;j9p&-aj^o!%-)UE#=SH?WuFKt3FfEGrR(2{^S)+B*s^TS{YlK)&=KpzH{3t0THL`MM z%Z0~J6!{aEot#_19(RQ=#L}`vbMIU0a{{_W^{1BG?WoaP)|M>PGBeP4k_MyVUw+-j z`?4jc;uP!n!p`g!G5?~`T)ovYsnI8WLwcBtP2{JQwOggmUJYVY37_HQ|6%6I(sKFQ zETw?kK?QDHJLbuEe${(2JMj#ML7&>qUDGyyJ;)_|F~gp7;$w!H|662MSmrgIo$zge zQ%1Y*->LPNE+$W1J$2XBm)a@K$J9SvUt)HylPf8y>0?Xz%({s;*IUoCGyAE+f9Kez zx2p1ArS(=izkXWPFaPY@+@hLpb1lxW zI?MLnKBphicVoY(xWwLt535s8$gEKQJ#W|l;wf3@UMI7C`50w3vz>S9s%r$Snx{G5TW7=@8LPxDyU9M|s?fiRFY>JGqr_&8c5&7{u|#x~4h%*XAeLHGhTeF4?YQ%~f9}&n)-UTtxMI zWjK$|{eI>qy<)lD!msZ|->g|^F*SKzGUts|2UngjFOgbfd+zZj|; z=E>^Lyw~16>{UqlXSc_5mFxVu>K8@86j4p}=pq` z{fM1WXJz`Xv+HK&TThlNQ_;QfH~Qk!lglp_{dU!n@%nZCnDoi}S)SS^k^5EzcIrKA zKJO#f_^mWZ;-Idy|BG~ftBCV^B>pAI=l^Ld`glgpHA7{c!|Glp7P>(Q~mB<(!0WY<<>UcoQUb$%&R`X5#MI**(Nqwi#?BEq#8t<)k?YGsAEUGUNl6mN}H<@?$y_5Tn z>l+^FYH!xHf9d?*@pkjAkBgNGzpq?Zk-JZq=U(bf0dtG|NjLUhJ`y~Alj!e_wuK=D zWqY2;t@3`Xa091;%AYpwll*#CPqEce{Xs?7cQQ!KutzN?&ZnbIm%Od;4mhpK0rN1}V*!|J*t4-mK#N zPi{E*Xuga8VB@^cVS2*##qR1| zK}WvyY!%esazI!tx$OK;iL7P0S2{kjX}LXSo1W%0YuyE#jX7Gmdo;GcDczsN8}_MP zbJ4ww+dNELh1Y!uJK*lzc>SOu&(w^nY3r=I%on8}E5E!lVwK%x{mYMZrsnnBo063@ ze_^ z_C@}eIBCIPsqJ|B+wHiAe`if8=KW=w z7Y^MosQ1)M>z3*hxEI09G^2#&dTPol-=~wjwuIe&@Fsm$sHE4))~)L|t+;T`;?;z- zEpH!R^KN9iH6vq{=9~lbr0<+!ShM<_{4SHXZ9Cgy1N#-_*Os(&R?bseoV~fjRN&35 z`Xl#QuOHp(z9Ely@dm$0=Jk4ugD*{bx#!U9oXwpY8kwGx)NaB#*9hu&14qI1yMm^kdDfXx4+>M{oIpcQa z^a!Q|^b4=et}>FF6JgNE{dlXX_{I|&rl0=ZSrPkacIgAhD?29bPG}X}XM^MA@ zl)Rz};myfG&w`aTKRDJ;kk8frU;MnK{AfU+mETOp)V(VuwV%vBoTPI(ay9px-6f0G zDt@XQQfJudDX2fev5k>W4)h8dUr%sETej~h-d4jEV+~l}};!Cq;?JD(}Q7!sM z;m_Ci@^i8>`^}H7F1-ImeJ8Ke^FNbMPJeKiv+|d{dtT>`fR~O-ds>QBy6f}fr0kzO z-K(;GuhK>(sZSq1eF{8q`lB7s)sM;og)bx+?N-K3*!!o0?Xp}$?W2x=UU-`*g$15KYe6PNC?{A^M ztQ>h-N_stVJ60T>`K?w)gzd)LY0jn2_2s4;mnvCV@O)hL{l|exHw2!v>(s^xyx+d^ zrhNXjV@{tk+(nPL}pnteGGGy9{+W-jB|T2@>9)*O7C zaP;rKyu8 zy?1BTn;eVr*`~rE-aXx?>b2;}XPUNKZ~X6k7u)VvIO+YOiI2{$F5qx|_TjF2%rq z1Tz+iR_%;M-}{43E|r`2B004Er%rY6{GC7FW+dF6a}KEJQhAhILbHZVHn!(WeQ-Bz;?d{g#2zl}$JhP|kd64z_N5EZ|u zZ>REA4nJV^w|wwr%fosf-t3Sw!4;y(97|8=+Z=APjZUoJ(=*d1ttIT##|0Co)-&}g zcx(5*eq%W0HStKxl+Yl zPibSA&lcX-NsbTpe6&5=zQ%u=^~91ZG9r^7%ywBZJMr(9V=qqZU2~2>wO%vuezk(U zPG5b#F0fG2RC;sHZ~yBa4h}p=CHRV}eQMv||6s4&~XU^0Q@+ zN$*V9W24aDe0GmY>gm2q3EFN>Dn|9QKniEs1&+;>fxe$H&ZRjksNKTBR0=gZy~_%CpmId@~^rF#qC7Ipm95{Wzfwj(!d z(an7ZlFg^Zk}D@4bW~Ec7W`XxH@Ci(@7WZG_B@}}d!{gdHkhii z>doS?qbo{xU%dAG-S6)!-L)rwIAg|?lUOmu+4bwA!u=IB@kZZ!d19Z{*leC6H}kaM zze*Rq`?urfich$IKixq$Qr>?`a8S8fD{IljT(QF~uP=mXy4HOcS+GaJ@$qJj#o-gB zENf4$TNl=zU^MZ_+4>_3YqrW(T=>1?&ix}Vtp6?wdg*X=R#sQrcfSXRw%pz2b8D*i zuEzPUmY;>6cg|V=Cm)!v?*Hzk#g(hmJ^yb^cieeloyOPp z*3BFD$FFMeSbpSM`?~%+y_IEWtz%{;zR#GP!20v*v2&UCe$^Vhd{@P<{%pmi#f!G7 zR=gE047u(qQ`N)5%y7+)q6GR<5EulmD|_Ev|UPASsNDFmXdL5(d%Cm65Un8 z=Vv^qXBLcpW_PsZkfX8Hb|%Lk3_c#6L2p98bC>>`{X^x|`X?J_otdv&Vs`4pmaXOq zlA9znrQ}nl`sz&2cx}CMpM9q5Ce80t>lS@}SkC!*#?*S1IFJ3O7e!w0oe^?6Grppz zV9ulBhekm>U*r8dvm)Ch-&&ko&NZE($oSi$l*NZueSBZ9{qcI>f%7>9pQgV#qj`OQ z>LgLMsNJ%1s)x*&FYlW4m@l*I@91ZdUGYjU?6=qSo_j$(b!WG{yP>~v zQL>~-)C}w28}*Wo+^d$^5VC%Lcf8^`aeg`bw>Kx4*GBQ4sGCu2Qp~ z(JuMC_mRm7KcB7fz5D(_KuFm^)=i=Fe;5B1k$gQ>bLUt6V>bI9EI70xBj){sium%{ zmcB-zn;vyhU!*rGiF(#e`g6mT|M1!_%a+%hgLZFaI;CH@Z%yIR*i@FnHW7XA@g{Fj$sc1fie=b?Kc*IZ}h_1@U}#&z4)RdbFv{a+~EbA0vE2EVm`I4572 zz?ZwPeon^sON;n*Xa9Iwo;b1ObQ+h=k9oJYo~=9S`inU&h>=rYpLebD_QW@vj}-ph z?jPC5-hF4@=jnpmPEENex-M^`@W*KrOS=~dD7}=b{V30u>*%Sx>tEHhIBoAeUNhuh zseOMtz2BlwEk9suR8;Pkuqm^*FP5}_yq`ybf5v|8TG5I1R~~%0S#$X7oF%_bN`Le4 zxVZaX58r~Pe@v{K!?+=d4yz3vQTxMq}crOU`eBVX=*@?Fm6N3#vm ziiI9HIDPVywDi4WwM;rr_nhh%1J-%$%fcACH=2j-P7v97o@tqI`qCeZmxX=a@#({g z3lnYq@A2;wfQ5Twtr2}zjy7e@#)`3 zl%Gb-Jm%b!`tL0HEX5TSq z`yHF;D{BPeCi#ntvuk~Qk(HchQ#tdEe(0a9P3MZgMEe`BHhs`_>;4Rm@0~T45BKV> zOqsZ7VddohXOB`&Zs^)M<>Ay{dta(Yq+RjZ9pY&vR`;{r=|;5ggHKNnn9Tg;{5JVs zjncJ0iAOf1*SBqPc^w?mwCeMWj>H_3<2&jrJ}PH8NSt%{{lRFOqA-wS=Ymc<&mqyBo7vmzc>h z{MHopYYLW7P%W+RsehGyV1lu;$D+Q|cR97wL^t-PgjKzKQTYCA(!xDudkx2)0kn-|aSOnBXVPw8BBnD3wNV-qfZ z4Llp9GTCZbR?=UG_bAIf>n9k0~ed=27(e2+~Rp>3RcW2K}nYw#Q zgvgBaOOM{SyQ=I>{qrMvw?#u!cGrYcoSb31Do&f!c>8%KeA@WDFs0-4?@fy@Twvm! zZLGmn&v26~tX^Z0q#CDs`QhD*lj1){bM(c$Q}|S1*j|(7mj2_|zt?-DOhXo)f3{io zpd)Y5kvpd&TO*h8Fhx2!rOk`m#a3^kGXK##!3W{@qEDYSd8fO4|89fu3kGWr%+^rc zzhDh3`qr+Tw_GBD=4bbgre_0x)3uXUX>n2zjAtF_wvJmfLE&R_L&7AL|O z_%mM~aDVDOvuN_B-TKu_i(ESmX2%KTr+S`nI%uhR)9UxMsoy=C@|P$)n!mN=0n4=6 zH=`4aUOD&vH8bog+VFX)=+$fA=i0AZ?mN@sZh|;{&U;{*AA`%U|DE?R6~hz{1W7aprY9E_&a6ajR_qPMh0(<|iWR zmhay3>e3ajxC()u3je8*`i8;L44;_TzDNJOtk~}Uz~$tzXRhnl-+%cw&bgG0|H+>uZToL#SN8b^Oy;k;s3;qSR>N^AYfW5-3x>-XK< z`z~zZ|6PYJe3-gXr|jaD6_aWkTRYgf>U}vk&;RbeXmS2tPYyAm!+KhZua?KyS6>d_ zukiBQuKV{Bebt`YaGmg*#FHATvhQ1Gc*EY!Z;AwXG>qOqclvAg==HYLW3s1jcs#oF z>2Oug_q6E@iD3s{ij}QtVptaBWL2NG!$3RgPuJP2VsD;X*nFJZA9k8|{g1iFI@g5< zG3?lFd9mc`oyy`hQ#z&vH*U$fk-4=r>aAI>-zv`qOOHx@6nfpjcJx=-)@mMRuC&|7 zrR=V^?o&_D5ZJv=Q@d$fhiJQi;@!q&9-{j`+5U6+;d3rAe3!SW=aKf{-td&iZo>X< z^$WFbY<(m#^X*x?!@IXgKQLOT&7<%*IGH6WE8>`9p(o3-6yE)hrz{eG^QJo_iu3J- zdo8`G6}+WcyDyi9#!kERK>P5E`tRoq9zXe*9jWtjt*PIn=d;bux_@et?-tFyCfCZ< ze|9BP!UA9YXG?rN9FH7be_floqpqi5S;Z>W=MVVny$1_WlvYwFS8@h zCmkwVZpiQWh2wjbxA40oYbH(l!Yyjd@G#@&H9f|S&U-$cVx2NYc1iU+ofn4NMCbev zJ8#sYzQXzL@!8dlzr zd%JHwONiXD*lFf8i<#?d=ikeiA^p;4|HSnVoUR<*{<~}OzXg38G9#9pJ1;crtb582 zhns>uQC(|-Ozk3HiInl?XCJv*oZdRac7Mx}o8PYRo!n5=b$*Uik%o(#D9kk|tb9?T_{D{RuLT8>I?n%ABcDl*A zmHXGNev;37*YEDy&Ikt0Uo$5p-L0+<4UujPHDr^!|Gv-jq2|nu;ZTfq%=R{0>aEssk_qypDIDc#_BRCsVYK1%~@sls4Rc92qn>{P32hhZB@uXaAVN9d>rc z!qxSsBHmnVS|e_@_y(){+)2g-?~R339yG3<_1lU|CA|1*L_))i#2J_PExMUKBhw!q zta3K^tuyJ5(q-Eo&N%xA7C%qKb<8*4+P%uE_HPj&7e_}n$?hCq_! zg&TU8+Z$CYwyH|72nrsHU)yK3$2-_*#TK50%v(jT)w7qeCfcdWzC68e=EsMVR?Iu; zESO+xxPwblNW;x#(?ydN&ZjzNpME$|#k*#Hb+_Sk-!e7lm>I&NlHRw!fBLPc%y;bd z%o{cBOEUgi`%7L46}|mO$?4)=lP_Ij<`Ium!f)@BZ?&{|_~zePpZFKD;oU)(RwbVB zT9o+oiI_s)=STeYbDLz8ep_q``E-?gv1qP=Mt0hX#iz60KXvX;*njPflB>?I>6^FOwItDV@b+u3_VuHD(DkgwW0jV;r^{*2N?9;fWUX>oQQF`I8xPENin z`E^lfv+}Vy9KIKKJ97H9l>bl6sNLmepx2(BIA3Jvk93nw?VMAz_td}p^QNXxtIaHU z&bAr5EKZ%DdgzjIW{yc^MCV?sE0c4z7>pTr@86P@vVU91Zkvm_et8#5_wzBmzQzAU z_GZ?$uy>QvmD}!4s6Ub?QM*6eBZ_~f#(TxwZ9*5KzALT%5V`Bv)dPorE%~y`t4-K# z`tAdg?^f%j|6EuxWBH*Agq8ev5xZl|D>EuzSFy;G)e2+!t zultziu{U8xd4ke;wKMBKi}J8kSkx?W=T&(k*pxZ>iFN0tg!@gtWfCz4sQGT2Ks?Y|ztKm)6>mFSfNzE1993p=!`^lUwHd2PaYYJ!b#l7WJ$T*;>bs%NGmi^Z9BDVfh6Hhxap>$8d0WkWmIvgy3QqYrZq`4%@==^^N^sCd)?@GH zv(^5(FyZi~yVWgzTmCXeT<_YjB)I)mvs9PiVw_*t+S|w!(Iyhvn0+ zNZ)+6#ZpdM*kr-9Nj3j1vTfG>HDZ`|Y~!4dlM3z{G^d(ukAIOVv_I;JuYi;t^R(+N zbxWl<6fZszzk9AP_~z}k5l6R4UYFexKkZ`cj(0LgW~*)uIAIx|yyNfoHu1GB{ErUZ zmXD27jmYg2nswE=-h8FhQknblsVvLVpSfmBCQLZ8IA9CN3JPg%!t^_!`)^~#ig|Mn@Qtc^Y5)E4}?snz3~&vJugwrd*g z=f5Q=G2T1z*D6(b)%E?>3ocFRPOE=5F>d{gPbdB!Y~~UDSZ%eCx9j+^FHRq{v@g!% z(GXq#s9|mBCx-{8=I|N*o8iHK_G#$?w;X+=4G)x}|76y+-t!1yk?X6^wthPI>Vc>; zc~`7!Pwwu$ev^Zn<+rVr(M^}iH4x)vWw4;otbmpOku~FpUWiQ z&#aGp^V+xC;`+4Q?FUz+_8qXY*lq;UvU5LZeDlm zt3yiLi>U&6UFTC*hKqeYDO0&HYH@RiWS)lWh9aH4MfD#dE2mEOoVt3W*{$hq`lnCK zGuoY-`E2^f#E*woU77OdX_igl?wt?6eU-5>%nvpD#cgnReRaqcF$>RoRv&p8|9VAF zjAiky@w~+o&oRTlvr|)$)qmDFER+gBX>{`gbT$)e%=K3{0~fep-${#oTKJdId_gGc6kh0&G*oSVOhawxVuHSOtJ?G!9hf4M{ z;vXE3tMXYp@ta5;e|4s%CF`Z#Z%#OG>yfP$+z@nBqABZ8^wMq5GgLP2+11{A_S~Lr9`a>Juu8$Rre7X9-jQccL~n|z?ccTR>s;r6{w>BV{oW7fv4$;J zy=Hgr`I$?fh+6*BEnj`yO-^5V@rlb$b6QvL+B=b_?6*L2!2hF4wXUlqhzBMDyVVWbF7rG; zR=V48&T8H_CzTBUX8%@^l7C;rw0@P*=5z7x^9p|FmArb!GB+|IJ8JQ16YJCW4o!S; z_SC-^FDtPkvMHMi7Vbj{zs?RYR)FF z7Up^_eZQTbkF#t1T;FZQbw@8=&~sD2n~J)v<$;ZM7Eh8RXO?eJdTgFlb}T=pYISO; zYs2;4!_1NPZ(dx1TO#jYq3gcWZDsYgUDarR*TwM2r8Cy?9=KQ;TQA9|8 ze{$Kci|490trfff#CXqcO}N!$58-MZ;UfAi*FJIdMwHU9wU{5l*m-D)ElK!PR?dv~kx6he${3eTyMq#ms6K}ND1|w&s zpKk;&HwQH>JfHk$$E>G0!Bf^xe4D!8c#-lIiG=9-+~q4XeE%t%%Y>@yuia<-=jGSs zZ2Kzm`!obO*=(zM{!Da!d`#q0m?%$wg49#ZnbYOAKC61#Q8zR5{fEG1FN4^QzFa*! z%Cd#sFz}rcOZMV`MW&Zt+^yZKy_IFwnYU&euKW;uY%{iFVD^XZhL6F)0XM%_8xHi=z6DD?f>+LJtaGVQ^8zdlR3Rdk;5L8rYia&j-XQ@))tH8+`E9S?92yk6EmYuge@XxO4^)m$T*>|Ug(_B+s%Hl@5@tE z&z0h6P#bhRIqlm~{kK=`UoG6&`S;YpucxjFnk9R6ynnNr|EJ2_m0<@@RLdA!Zsqu9 zt0*+@o4n)c=~cI%&Z_a7zen@&cgxc+guM(`B`@;);bh)5`HKF8FE>?qvOIt9N_zDn zaR1C*E-B&F1xs7jO?Iyc{yw){wQ|olo5tgY>iM7Rf7j{TJrI|(R(L#5dilXvZYn)uiPvU^Gtc+ea~#suhWi^v-Ka^ewppSYkOjn>$*>j z@vVY3MI0`|SF)bH|08v^CU(`q>F>^+x*1U1boXb$Zug#pH*_|=b6>IfXWK)Kn-dE3 z=l)yLf91|Q3 z1B~<4nM}c(g11k4!5A*hWC~uzzWqNlQ@Jve8A!9p_8xVnCGt#W#$Y{e?o2P(naoVL z8~8JINHdv1G@r|2ve02NgJ_nS&h%S^$=q~cW-_;&p7D$+Vmr?*rrS)@ zCDt$rZU1?PNr{=s!f?Cn111sX=|?s)2~Yodhsk|=_hY8pOiUKW+cTaq88J_9J;x-n zecel@UdHKnFEEL0_kYdA%{txfGLy*mybnwr%+sr{F^O*PVq^AVn!f2KlgRcL9Lx(D zr$4*HB(i-j7jrJl^lzV;%$Q9qAseF4MrRibyHEf3F5Xan@}di0YO7XhWEmzTG`2(w z=`GxrQfYAO#H4snwGaP()y}(Yd?`jJ*|IV__`>(gcb{Kdem=9Zq+{l(5)I>Yqu3QX zn=Z^WGnbkr|&+c)SEDaNR<={Ts^^E4JH6gBIpp*mc}*Z&-dQg3 zuMul{W(N8xI$yfBcu^qZzFj&-%~5UJE5y!dcA3LIOSg?ckqG;(iUbHps>V3tRJR&J;4)=N{dX5?(b=;!I0jp!kLv?(YxIwPyd>{HB@hqE_|Pr}_8yo^O(3yf5I+c=@^b=9|Zx zcbDt8UuoHrC9*n5ykahsau{CzIa*{`8M}5f|A8+D1E=j@xo_QO-n;qx=7y_0++xL$`MK0I ze!YUi`IqcJS7&YA5#hILYJ~aAs<^p6$J@Kt-(+v?W4Nm2^;z(C&-5AEn^a@!yVthv zUgu#wVS4wM|KSWf#`x-~zmvg4>%~$Jh zKiHS@?RcKe*#h5UUYo~xHfK{SX6^4 z>^eQ6^t$UeW+h9`=eHtVxDZurTkjZP|Iw*lO$AE|)ngTv~R$ zDLr;-k8e`I8p(S}41w#9@2wA5f9uqbETzb(8397mf=gAcsHJCu2EU* zvu(xe`U{m()0f>Bi4yu9QIyMnvv7@OYM$--myh?oNuK@qtd&h~jnk1p<#ZE+z^GTP zhg*YJtzr0oqby15Zko^M&Nh{1|)ab{`PipVxKks2!G(TldnWCce!&&WQX|u7SZ~IfKRJCrf+#Wv1f9$gNTy+ z^q(R9KbEql6h3#8tKacLrSss#;|3Ra?ATY-XiRd{TG@XgOHRyk#f#~7KNuO0Ei^G` zHfS(OW7RF4S+{kfa`S90C85h!7t|jVHaxP{TIJ6@MZ{pOzvg#y2F4{74=R`)Rwv7- zguj}?HeGc~i`os9=Uw>^Pl> z>kekVNk!~3FKZ4w6T6h~>5puuy-FuzQ0INdV^%`kQs!$M z)vd7Sp;*|3?Fz-|j~=dhy-&exy7~{n9kx4H1wNYOpzAwRrsp)f&W1@PSKsYT`Qh!p zL~>C(OX<<1FAHQtQWkp^iT`X`Tz}s`?6TyF;(t;hR`;Il_*pu4`8){@!P1oe&@aA= zmf1i0+p+9w-wWkWcFX12=2*n1P4l{ZSL16(%%mm-!wapNN{qp_Y|7K?Q|1a>yr?>< zcWd9Jxf>?z31FM&b;xGRtJ+nQCKYbG&M{;5u7&ccd)K8ex!1VjOSHoqk93ONND)WQO+ccTU8>--Nwyj%Vwtu z*xnMlwSH@aLig268CRn(O}^LXbGEEEN@O4RT!l3~x;LrFGM#2VcYn#^IdStu1c!=9 zor?WOuN}$^f@|uvpQ>KD{x!o}F5|@34mX}=VT-&udG0Hh*&In~HvOJiyx4bQxy{v> zkab$hfhRnaQjbNR^q8sp_foWxziokER)=nmRQbFLi!%*H!d>tDH4Ue!%RdMS`kD|b zG1aBBmq*!NScOkmhbJ*+;mO;#?lq=lE$!K?e{J(?s~?_HS5~a4FJJL}%AO!#xR+)44zLiLz`E`K>)>;IM=5zj8y%sapQ zvsU~Q?kB5jLTgt(`KAwC{QRf-pYDGutlRUHOR{KI{ki`yjGpeXoOXKdAIXB_uWNUF zes}lc(kp-tc%_x8=gK(yMRp**RUl$)5kfLi3;cru}LL0h^E7 z*xxMD{@?Qd@-)4PrNIXI)8@ZTc(6Z9Y@YAstld-IdjCuR_f}}xt=bvCUVM0Zx;(#i z<ObX}z3y!A{^sTPwpFg$WwUp_{mJ=F(}f>i`hP7Zs-DAL?^AxP(|4ma z`EvHZe%`AVdR2ZWsrS=|^(^bd!y*H^(@7=Hd{qDoxwdwwKRrNbgpUJ$SCV6P>lw8d#3p0XWT+I_taGn<&{mJTi zVNQ%)*(&d|anGLqogF{VzM}T^pVv1_{*+C>7uHP-9yd6&DMtMy%ST$9~>`DKcY^m+eJn_vD(nmRxB%(cs( zZ*H$Cj62(}pSC$`?)=aERVm^tm)c(X>i%itE6+N+!}U)-KmD@i)bz)~>t?P`dwezB z>#g_Jn1z3r&MHaWK3%f*+ouo9-Ph->-5(ZTe&U?7;pq#1nz){4Xxqq_{kXZEId;43 zx@keyv2WLX;ak4^@VvU~h1NX|Y9P_^F z-pkVtm^a)t-S*>Zl6w7}ZM#+$H_0RvTUbTTEf-B(&;9hp&E4C-&vOzCyRT-glgB8X zy7rGH!+qa3VS<+w@38HBYRZ%M+^%q!^ut3>Cr`ejxZ=ipzRHiM4Wp1IyrBX4i2oq0KS_l%u0a`^Jj9lMlTBc74N zcjv*h&d2)e?r+{5{n@L2&Bc2@zm;wp$J|_%8vj#Ph*$c5$B!cGou@rME6Z)1CEs4f z7~B{$Rjf496;wED)DzE8aGtDuy|mO|Z@m~Q)JGD=VK8UnuO zy?+?Y!yl1R>>-}p`BTx&+~C?@iS_3f9Tfa5tNbL&t^PzCNbrj7`F-aXHwJC*msodK z%x=2IMcy+d=MTPlY#i|FLRvt^=k$u)BhnHt?>hS`TBkK$yq5clLhyQEeSgP;`r<}=g;p? z?M>PJ<8QWBZLrg|>X!HK9+tlgtp9VPM&)`<|J9nG!SyqWuHM?SBdhJoj~i8MOB7Gt z`Olm+q4P0UYFUE0{tXgV)H^IldHQwvj*>F4>G<)F+@{LG6OjV9Yp zmzFZJ|Twvep@DCEK8Al#|;FMr%lGtfd z+O^D<)o#V9L!t@Z>$d9Ms=qH;6#mFd#*;m9`sY9UW(w{!;hYk7jOFRiM9~)>{sC?C z9qgaKd?~_qsX1_3s+DGY+q}4)9!0&U)UAymlC@4}Ib#-x2Ss}|&I+nnpYHL|mq~&1CZnROZ->E#>ERi+(vz2StEfGA zp?rzkvw5kwLOaKj=K_L{-#km(_T%sV>3+KV_I>q#?Yn)puHE|h^4evKuI6t(I$d@B z3WdtAnZLKa44rlNp4k1;|5qlOiM@5N`ugTn!RuE*;uxjf$J)SuEx|ab}e0JAQPNdobfw8kU?pNOP!6QlC{$GBXx$RxtlUXgdMpQCt-Y?nTWbH54b@p`hj1#@> zY_54WCSej%XPh6W=<@qEoW2qrEgQG>YNF&`0TrG*;m=iczhABNJYD-$A#>;Ydmd5m zI_i&mU)i|#^v2(!S9Y$CTVwbAs=DXtTHZrvZr!<_p{je`M9uTGsqZhN&j$I`@hW-6 z$xD21Jv*kNpZWRw(F<2%wlzbb4zjX%zmcz^i+o_~(h(k$+u`H-91mNj#sUVTlq&iRUWi$A?FG)dEHZaBQL z!#Q`OOet6UXO7b+iz|QUi>-Zf=(7IO)!I!@f7{;AJN;SbbJ`N?L%UCJfB5U!r2PH! zr~Unu`TNB5cK59Ho`;X7?-32(-g&3KCaI)66(*<5|=?j4Is6olkKc9ncu!EIMBrck^ZAn)LFEg2Nn-q0kL zOFuZXDpkSQ(1c4rTp`*}!C1jCmPORo^7T+)X?7H1OYpfM$t*0y)XDeiSN+^SpVn4i+gm-q_S(+0u!s|9g4A`| zMf1Y8c&Bp5lkXdDMZIV}d&hkr3s=DV zFx!RCtTc-9^AE(B@UPlwcxggV@RD4wvlF*zZ*`Fh%j(_Yyi)g)-_ma$%R-v?G746| zygtdhK2dVDY}@sR9P`&UOx?g7$5u9Vzo)nE3$a}bFR%SDzph_>^7==wvOmblG(}cO z$1P1YU9+&J`wFY{!sBaeKU!RO(qGg3^#jwFgKYaw$9>Yh@cvq@Yy54N*@+BnFRR;{|up|W51RNuBGZofF`ms^7Ro2EdC#XlwLGljnG@cq83QbsL7|4sAX z1DQ{P^EQiLG3RAZVBdw$IZg!g=#!7U^@g^PIBz{kqd`braY2{QZG5omDqPC2c*@u}tDi<=(KBY%?BR zVR7C5dG4+Ne%=clZ!grpDf^loo7)(c!JK9^^-i8%T&mjSG^1zdcdzo4T6uNKttD#9 zyMulwa|H7*{dVTblDJb`LXRh33oa7ql=P~dlB&Xc$<1r7n|;orE1ZTNosM2oDrvgB zjE^Tv%s=u&rI%lLT18K$#EdydZcnbL7BZevw)5`gdOxYs>N3B~Gka^6)?do|-Y7ry z+m7?0+P%Baf7kTgaldlOmg|2%_FS?%&&5CWTlF@_|5cfnHZMFsWtoljmLE3DY^@jX z^k=vE{bkFgp7i*&!B#JB9zFi-=F^Q2PWd0)>V8l^_u$u+502e@a83N+`t8m4#hP~C zXZ>E!CwGReK8E+-ABX+rO`p3z-E4PT)u<5_!Nj_vS?P*1vx$?ii8J>WC+RKDoYM{& oz4-9vrTxYW`~Bb6UpRZ}%XB{}W*J^XOH*S*GcHwCSARDy0M|qICjbBd diff --git a/labs-set-2/template.tex b/labs-set-2/template.tex index cae2a0b..3ede392 100644 --- a/labs-set-2/template.tex +++ b/labs-set-2/template.tex @@ -544,5 +544,59 @@ This corresponds with answer choice B. This corresponds with answer choice D. } +\qs{}{ + \begin{align*} + \frac{\mathrm{d}\vec{r}}{\mathrm{d}t} &= \langle 1, \frac{\cancel{\sec{t}}\tan{t}}{\cancel{\sec{t}}},0 \rangle \\ + \Big\|\frac{\mathrm{d}\vec{r}}{\mathrm{d}t}\Big\| &=\sqrt{1+\tan^2{t}}=\sec{t} \\ + \vec{T}(t) &= \langle \cos{t},\sin{t} ,0 \rangle \\ + \frac{\mathrm{d}\vec{T}}{\mathrm{d}t} &= \langle -\sin{t},\cos{t},0\rangle \\ + \Big\|\frac{\mathrm{d}\vec{T}}{\mathrm{d}t}\Big\| &= 1 \\ + \vec{N}(t) &= \langle -\sin{t},\cos{t},0\rangle \\ + \vec{B}(t) &= \vec{T}(t) \times \vec{N}(t) = \begin{vmatrix} + \hat{i} & \hat{j} & \hat{k} \\ + \cos{t} & \sin{t} & 0 \\ + -\sin{t} & \cos{t} & 0 + \end{vmatrix} \\ + &= \hat{k}\left[\cos^2{t}+\sin^2{t}\right ] \\ + &= \hat{k} + \end{align*} + This corresponds with answer choice C. +} + +\dfn{Torsion}{ + \begin{align*} + \tau = \frac{(\vec{r}^\prime \times \vec{r}^{\prime\prime})\cdot \vec{r}^{\prime\prime\prime}}{ + \left \| \vec{r}^\prime \times \vec{r}^{\prime\prime} \right \|^2 + } + \end{align*} +} + +\qs{}{ + \begin{align*} + \frac{\mathrm{d}\vec{r}}{\mathrm{d}t} &= \langle 4\cos{\tfrac{2}{5}t},3,-4\sin{\tfrac{2}{5}t} \rangle \\ + \frac{\mathrm{d}^2\vec{r}}{\mathrm{d}t^2} &= \langle -\tfrac{8}{5}\sin{\tfrac{2}{5}t},0,-\tfrac{8}{5}\cos{\tfrac{2}{5}t} \rangle \\ + \frac{\mathrm{d}^3\vec{r}}{\mathrm{d}t^3} &= \langle -\tfrac{16}{25}\cos{\tfrac{2}{5}t},0,\tfrac{16}{25}\sin{\tfrac{2}{5}t} \rangle \\ + \frac{\mathrm{d}\vec{r}}{\mathrm{d}t} \times \frac{\mathrm{d}^2\vec{r}}{\mathrm{d}t^2} &= \begin{vmatrix} + \hat{i} & \hat{j} & \hat{k} \\ + 4\cos{\tfrac{2}{5}t}&3&-4\sin{\tfrac{2}{5}t}\\ + -\tfrac{8}{5}\sin{\tfrac{2}{5}t}& 0 & -\tfrac{8}{5}\cos{\tfrac{2}{5}t} + \end{vmatrix} \\ + &= \hat{i}\left [-\tfrac{24}{5}\cos{\tfrac{2}{5}t} \right]-\hat{j}\left [-\tfrac{32}{5}\cos^2{\tfrac{2}{5}t}-\tfrac{32}{5}\sin^2{\tfrac{2}{5}t}\right]+\hat{k}\left[\tfrac{24}{5}\sin{\tfrac{2}{5}t}] \\ + \left \| \frac{\mathrm{d}\vec{r}}{\mathrm{d}t} \times \frac{\mathrm{d}^2\vec{r}}{\mathrm{d}t^2} \right \| &= \sqrt{(\tfrac{24}{5})^2 +(\tfrac{32}{5})^2}=8 \\ + \tau = \frac{(\vec{r}^\prime \times \vec{r}^{\prime\prime})\cdot \vec{r}^{\prime\prime\prime}}{ + \left \| \vec{r}^\prime \times \vec{r}^{\prime\prime} \right \|^2 + } &= \frac{\langle -\tfrac{24}{5}\cos{\tfrac{2}{5}t}, \frac{32}{5}, \tfrac{24}{5}\sin{\tfrac{2}{5}t} \rangle \cdot \langle -\tfrac{-16}{25}\cos{\tfrac{2}{5}t},0,\tfrac{16}{25}\sin{\tfrac{2}{5}t} \rangle }{8^2}\\ + &= \left(-\frac{24}{5}\cos{\tfrac{2}{5}t}\right)\left(-\frac{16}{25}\cos{\tfrac{2}{5}t}\right) + + \left(\frac{32}{5}\right)(0) + + \left(\frac{24}{5}\sin{\tfrac{2}{5}t}\right)\left(\frac{16}{25}\sin{\tfrac{2}{5}t}\right) \\ + &= \frac{384}{125}\cos^2{\tfrac{2}{5}t} + \frac{384}{125}\sin^2{\tfrac{2}{5}t} \\ + &= \frac{384}{125} \\ + \tau &= \frac{(\vec{r}^\prime \times \vec{r}^{\prime\prime})\cdot \vec{r}^{\prime\prime\prime}}{\| \vec{r}^\prime \times \vec{r}^{\prime\prime} \|^2} + = \frac{384/125}{8^2} + = \frac{384}{10000} + = \frac{6}{125}. + \end{align*} + This corresponds with answer choice A. +} \end{document}