From 9343d703970bfed96868ec2389035df576166aaa Mon Sep 17 00:00:00 2001 From: hykelvinlee42 Date: Sun, 18 Apr 2021 02:57:48 -0700 Subject: [PATCH] added methodology and result --- README.md | 48 +++++++++++++++++++++++++++++++++++++++- result/RRLeo_period.png | Bin 0 -> 50077 bytes 2 files changed, 47 insertions(+), 1 deletion(-) create mode 100644 result/RRLeo_period.png diff --git a/README.md b/README.md index 79b35dd..cd76ac7 100644 --- a/README.md +++ b/README.md @@ -1 +1,47 @@ -# RR_Leo_Photometry +# RR Leo Photometry + +RR Leo, an RR Lyrae type variable star has a luminosity period of 0.4524021 days. This photometry project aims to demonstrate RR Leo’s periodic luminosity in visual band with data span over 3.5 hours collected at Trottier Observatory on March 10, 2021. The partial variation of apparent magnitudes over time were plotted to show the luminosity-period relation of RR Leo. This paper explains the methodology used, noise reduction, source extraction and atmospheric extinction in the project. + +## Introduction + +RR Lyrae type variable stars are stars whose apparent magnitudes change periodically. They can have periods ranging from a 0.05 days to 1.2 days. Such stars, are intrinsic pulsating variables, are white giants with short periods and significant magnitude variations. These variations in magnitude range from 0.3 to 2. The unique period-luminosity relation of RR Lyrae type stars makes them a good standard candle for measuring the distances of relatively nearby celestial targets + +This project focuses on measuring the luminosity period of RR Leo, a single period RR Lyrae variable star. Located in the Leo constellation, RR Leo is highly observable in the northern hemisphere during spring time. RR Leo has a period of 0.4524021 days (approx. 11 hours) and a visual (V) band magnitude range of approx. 9.921-11.254. + +## Methodology + +This project aimed to present the full periodic variation of luminosity of RR Leo. However, due to the time limitation of telescope operation, only 3.5 hours of data were collected under V band filter at Trottier Observatory. 219 raw data frames were collected, with each exposed for 60 seconds and binned to 2048 by 2048 pixels. + +The data first went through the process of calibration with master Bias, master dark current and master flat frames. This process reduces the effect of dark current in CCD during data collection and lowers the overall noise. The calibrated science frames then went through the sky subtraction procedure using SEP, a Python library for source extraction and photometry. The sky subtraction procedure removed artificial and urban lights reflected from atmosphere. Once the sky background is subtracted, then in theory, all light sources in the science frames are due to astronomical source only. + +Using SEP, all objects within a 750 by 750 pixels box at the centre with ADU count at 1.5 sigma above the science frame were extracted. The object extracted with the highest ADU count would be RR Leo. Then using SEP again, the Kron radius of RR Leo in each frame was calculated. The Kron radius was used in the calculation of the flux of RR Leo and its error. + +![apparent-magnitude-formula](https://latex.codecogs.com/svg.image?m%20=%20-2.5%5Clog_%7B10%7D%20(F%20/%20t_%7Bexp%7D)) + +![error-propagation](https://latex.codecogs.com/svg.image?%5Csigma_m%20=%20(%5Csigma_F%20/%20t_%7Bexp%7D)%5Cleft%7C%7B-2.5%20/%20(F%5Cln%7B10%7D%20/%20t_%7Bexp%7D)%7D%5Cright%7C) + +where `m` is the instrumental magnitude, `F` is the total flux of object in the frame, `t`exp is the exposure time (i.e. 60 seconds) and σ are the corresponding errors. + +In order to obtain the apparent magnitude of RR Leo in each frame, the apparent magnitude of a standard reference star in the same frame has to be known. In this project, GSC 1968:912 is used as the reference star. It has an apparent magnitude of 11.02 in V band. GSC 1968:912 was extracted from the same frame and its instrumental magnitude was calculated using the equations above. Then, the apparent magnitude of RR Leo was calculated by subtracting the magnitude offset of GSC 1968:912 from RR Leo’s instrumental magnitude. + +In addition, the atmospheric extinction has effects on the brightness and wavelength of the observed objects. By applying a linear fit on the magnitude of the brightest object in all the frames and the air mass (i.e. the thickness of the atmosphere in units of the thickness towards the zenith) at which the frame was captured, + +![airmass](https://latex.codecogs.com/svg.image?m_%7B%5Clambda%7D%20=%20m_%7B%5Clambda0%7D%20+%20k_%7B%5Clambda%7DX) + +where `m`λ is the measured magnitude, `m`λ0 is the magnitude as seen above the atmosphere, `X` is the air mass and the atmospheric extinction coefficient, `k`λ, is measured and labelled on the resulting graph. + +## Result + +The apparent magnitude of RR Leo and its error in each frame were plotted in the figure, with respect to the time in the data collection period. The observed luminosity-period has an amplitude of 0.26. And since the data collection process only lasted for about 3.5 hours and the previously documented period of RR Leo is approximately 11 hours, this project could not capture the full variation of intrinsic brightness of RR Leo. The variation trend plotted in the figure did partially correlate with the majority of period-luminosity relation of RR Lyrae type stars. Under the assumption that the result represents partial scope of published RR Lyrae type variable stars luminosity-period relation, RR Leo reaches the dimmest apparent magnitude of 11.02 and the brightest apparent magnitude of 10.50. + +![figure](result/RRLeo_period.png) + +## Reference + +1. W. MacDonald, _Introducing Variable Stars_, Royal Astronomical Society of Canada (RASC), March 2, 2019. https://www.rasc.ca/variable-stars +1. T. Dickinson et al., _Nightwatch: A Practical Guide to Viewing the Universe_ 4th ed., Firefly Books Ltd. 2016, pp. 41-45. +1. _The International Variable Star Index: RR Leo_, The American Association of Variable Star Observers. (AAVSO), Cambridge, Massachusetts, USA (accessed: Feb 2021). https://www.aavso.org/vsx/index.php?view=detail.top&oid=17041 +1. Software Bisque, _TheSkyX_, (accessed: March 2021). https://www.bisque.com/product/theskyx-pro/ +1. Birney, D., Gonzalez, G., Oesper, D. (2006), _Observational Astronomy_ (2nd ed.). Cambridge: +Cambridge University Press +1. ] I. Soszynski et al., _OGLE Atlas of Variable Star Light Curves_, Optical Gravitational Lensing Experiment (OGLE), (accessed: April 2021). https://www.rasc.ca/variable-stars diff --git a/result/RRLeo_period.png b/result/RRLeo_period.png new file mode 100644 index 0000000000000000000000000000000000000000..b77ab1fadfe326d699f54af2c8d82fed55eff878 GIT binary patch literal 50077 zcmdqJWmJ`I6fL^xmIet4=~PgVZbUjaEgceqf^@2&(h5onh)8X^m5>Gz1nH6x1Ef(p z?|Q#8&basdI^&*ScU;GCd>_bu<9XII*IaYWMUiy__>PWEfE>Hk7)GqLKgWwb=kuqp@>>t^G_}f+Yd^{h35f{_yy_Pm>F+o8zTww~r)1edOQ|P5^&%uqvPJ$=FOiWrk0wTD&xPkub899CL*FQAi~MT)z;pQZES2DH@zuT|M5&%SorGI zt6w!p$^QKQlJTj(Kcb+(`EgCk>(`{--rjLxVT?!KdT@`}SWmHS zZBpOuHawH5g~gA!8*||XMJ3hclar?Y0RilyqE#ZorN#^l3|oKywx69IGc|9r$Of{> z$TSTdH~$(fGDN-~NkVVrSX5M$D(03vZWl-)e|Esp)YQaS(rncnXnXkg7umSg?ZCaY z0P9m48k&VM6Khp8`jz=1yxI3(zakeG7oQMsXEpB(Yo^Ks{Jp&zaKDa4gTa$j^oB-*%sCGArE}$dn#i>F(^b`S$+)!CLiTg5>k67yD9qSiPuI>6 zN1l>GsqmHG#y1A|;qaWCoaD>JEei`aO}pb3(-$5Sq6$RSdp>;lP^4Y@zOgYkXn&)k zwzex@J7a6oKA|XHQc|*QcJ_9uN4>`^1tsM}SOc6ZEhm3*dJHWsV|R8Q!18uXPd5w% z*5@xVGc(&bIqkKcj+=yr%6WNve_vdDo8JCqVBn^U3*YP4uU#_@0(ZwuR^2yYjWBy2 z*>Y#){ry@r^z!9<)D>@7%wp~(Z=2$ zM^m#;YIQa}y1KIR!;c*+xG*s>@xsCa>WvippKl+$GkpvV4TtiznNri!#~G|OG>9Q! z;e+1fCdQ>DC8PlX0b==^9=ms4T!<_zW&-OA^my-`9{Cs<8@G3L<;_JI_rzZss9eZkJO407^?cKY7U$H)p`r?UBnvxdceSO-@ba+-~%(sH$qmpo?8!H#!fp)OgObAfNT~dzz8KROdeR z)|iKnk7%~h?F;NO!ootmVtPtSELgesA3n6r&9Qj4obFvJ_d}djt`7c6LVdMXRf;MO=nCYs))oTt@WF%`q77U!Q4jB}R-Dn{>cQ1$?Tgs8BF9 zz4*DWZ_LiJ(k_z!W8K}E_Q64N9^EXXVnaZ^ii)d~Gcz3>9XNoK68>9n%rnnVH^W>< z23=fSo^uk#&$B%` zuw{#-ur^&=JRr5%^e_IZm>4ZATn4X@5Uq%a$lH+Py~`33rf9Vyqi8@tA`=r6N(KhL z=;-K9SYYn{FJHP~X@YuIwbj)rQJoNqXvZHt3G|Qg$qb6?@Bg@orSS9DucFVt2Qrak za#1e${jFQKD4YjgQv!0g!-LD5?u=ZPlr&qLZ?Ud%9n(M}O6;hvx|;gm?=ObU))h7n zzmAMhlgsWre-;x%og#djD)(j_Rd;vyWgZ?i^c8OIo6D=KF$LM7=I`MB0G_rX(-X=6>aYpEzUooqRw2#U+n(iU3T za(vFOKytxZZ5nkG{ge zp`4nL5hG&X{S037MQSQ9J{coy?g#Is@ztZ)*x1fTcqA(R{_k(;>e4F_ZV#!k65-(B zREC}g>KhnbMqc#f^i;LnsyV`-$S8BZ!N;vORNUhmuY+jX!S|=EDlRTXpFV%4GAz)c z6;0EEOisie!OP1_5kr544%L~bnW6&NvvRV#IzfVZTT!96E4DgQUk-3X34h)e7T$87 zu2DBNHGPKchL2Tna1)9Rz_W92eMVJ7Bbtz$oF3KbHy=`f@!MWhWmix9@2;w$^o1RDM53qeDUaEFomuBo8j9+UAp!lTJu(Mn0a%S2D7)U4X#e zJs&rcQ(q+~6GQ3{aUNi<{d-B;mk@PXPR}>PR z61RymWFOwWdk4Y#X>gDpg5Iv<37Oc+Sqj9UIW}7a1soD;Cnu-3B_&#f>?&4PS-`cB z{W31zAJLU3QcqMdH&3TnobOzV;>ju;8VsYZhBHlsvfJO7b=^gd<<9OddcKcKGntT@ zn!5Jq4L&~g9ZiJJNta@_g%SKrux zwBN>Sa|1X+ZsR4CC>7XE^VxH5r=g)C?C|NqG76>Ozr8$4+(|_r>*}eh0p3kZvmQTw zJk3f6pQJ${!GU%(DYMi+&b8@J6>0D8zR62NjGi*F4&g!-hOn$^^q(F3WXlA2#l4F! z%()-O@TUgOZ)<-)=?#x>tdRf8jvgroBZO{t4Pm}hxl;tA@0=f z-P^+Hx(87Q#Dhahig6@g+wc`VEiD#G*z!F}S6BD7q&Gh5Yq_<2?LUGG%!H9j538LA z7vWTdzA;^~b8x_Qc6J^+HZC=9>+L0ijlhVyxw$zwJ5LnL!n#4yDVm!%mq!~Iyyce; z+7o>A=+S6?)b7sC*8*KuW=Ss<^xogTD?jp5tdOM767Z8!W^d9S@bKW$#PS%Ipde{^ z(_iAyqdz=N+uckDhfCQx<>lpd<6AmM`+5?=flYtK%E+Se*V2;Tgxuh3NgVY=*Hg>>OlkV1flTFWxsZD+qkR5>ftZln zmbY(z|M}CX+^twB>)ks}c#9uvQ`N57vlfPh^um@3khNX!x@|4A!HV*T-<^(l|6by? zln*hF&TCXSqha*!{i7WhRPA{%?<+7X;a(~AgniCVLYO@ojNB05_HyStfEG;dU7!}_Vbcq2) z#>T-JY7X*?c=E(-{j;=IswUbD|9?k`>3IPb({{7i|&&Q|hAr8TY zq%gom>?LXA+E7w1+e;me_l=cF3hp1!Tds z#QS7(>1|b2)woa6@87?7Kh&82_^=yLSyyM=$PyG3)SoW48h`A2x;tTw-09z-d;*j$ zxOjN7UuW~{<&@7)t;Tl$=}$Os?fnQl-K7sbUca%kHbp%jdMtFbw;t2>m>{>R$^gBo zNVhh>{!i&05kfpWzJ8^c4?CBI1r_mKGi8s9fDozgo0|!cOBR4Y@9&Uo z_|}UPuTPY-TKRv+Lk9qvf18_&j(H+0Bf}Qa3fNCULGcFTcXkqhdcX8VfQ*#XDA%k0 z+ub%_`@cIoon0~XZZECh-@^hLgTf@mbvz~S=<6c^)+RR>b{^8%(__EimQ&SQF zf8Sx|nzwd#R2&_-AQ-ScJw4HfVe<4F8yk}?VekbX4;<)s1C4^4s!B@O4St(tfno4D zgvYhFFFu^%#*nD>7pmX)^Xq|v^8W9B1_T2AO5E)2AD6eBG4k>8`R~vAZBF~Ds^V#A zYK~bsIyxd$u_g3$tCuI64H7;2JkxKktx!MLXhf+wX#YuE9NF*wwA}QS-o8Gh+NHR7 z@fjfJ{79{oq~!PEJWY&)pu9XQq>SbQ@#}nW`1JMlCu>}iFz!&>APWsN7lrcrz^p5G z$mukgRmwhPz12@D@CXZk{zO3zZUxo_cP{hmw+`8TwZcaU zb)jjUJHr!l*0Lj2;G`B0kP4Gt*hu@Bn0;&7t=tw^(!SWr6o4p@0GqwFDNF>nv@}z8 z@LwXpLnFhl)I2&sA>`!FPrS!I^rc);Q&en|-4BTQ_)+f3g-g+neaS^!{;a`UST|!Y zKFqk`IUeBQ>njcv!blwwCzo-VB@xQiPk(OO>s=j>&o^OSUP51AUsrk7!^6Xa<=lj? zMTP~8hADpDKR;1ML_{n=Rgc1)Ki}TkLg}@<=s!Bx8PP?DF+h%#pR>pvSUs^KfQoluOBpfl=s2u3nOs+3zwwW zV3E(x&P*G9g+3nsWmEWh_=!RzR@!o*sf5o^wXp&9gC(spv%0NH0k} zXkBP~{QdiP{iQS0>8k;M9c2FXUn3+TQAY3#&@+}{uT~-_La2c$cNpr*`sgMcS5{PnXJ@l2 zDJvs21Uk6Bz8Ux+kW1vz;FPLCcx*#GWIx;BvoB^~=i(AY#w2b7$cq__EHA$T2W$Iu zf4+F-@c7t%d$G%ZDbw$3qo3!_`V2j=Rdk%(TsaWf_RpV*VKE4ah!o+Y+f&Zj>@qSZ z@f_jTocdd{!_K0xaPVyaNVm4PAEu=-K;iHrG4U;CX?2wZC@NBXLL`+`Be~T5+j~k# zcain=H~xz?LHNdYR=FEQ*F_ostAYC)anGMqKn~!5tO;CI)y8H)w%#NoI-2<4=;$&h zC+@?C54U!AyWp+n+3r%0sZ#C#<6(R8_i+sJvR@#@8szC{cDagu-c;C{D)AX0BnphKF!HtS5i_!8F@y309we&%?(5azpbs! zm1M(n(-UYI2xkuq3V2|l(W`e>42+GRK#84WQf`G2b5qzoGXa^UD~{>L)>mb6r1+k! z_he-WS`!(2Faa3z;`#IN?;THz2c$!eu6ulY|1d}SDdsagls>2luylpH&E88oppO;i zPXS>GhqGf3L5Y!4RaKp=b)&~8z4%5$#S>}^MF$7YpI(x{8WMm$kH7y2kYGEQCHrY$ z;7N7$HRSQ;i!H3rA!QV6-(Zz`K)AiV4N6qYG!2`cY#tpI)gz!&f zOY?x6H}Rp&Mk-WfkAb`v*KPuvSetD`*enEn2jl{Dkjrc@Qs9S$otv`~p!M}1uFur} z0D4(bQ`7mJUD>s>*=<4?62k>KIXO%fzzCbDC{=!bJ|Qvjqm~x=z0G-YguSZnf$q`1 z{iBBx;1Se4RAH8DY+PK|GfIw8@dqGEb%O}?A~TbWoSYm^C#ICAc(uCDZ_^4St>Tc6 z5fsR-fQZKyp#W9V=pxj)Njcffb3*8M==Rq}hXT%YS_N%=dB!T4tVXLNR z`nfk}_YE!5`O8Ea)x^ccuZoId_Nxz(f1kVE97qe4S!g5wQhe$x2k0pXgM>Jrz7YBB zS>aSwU0qparMG6Q*#CMj8#^SuzT-$ug;p zdssT)3a-qMoR}ccL9KoYMDxMs+$AC+B0qOe2tNd^bzV#41pfN@^A3M7X#8&jNB&S& z`>c-JLW1>?>)bg%+dRMOIVaO}^0yBaesU5lXi-NB2d=#O%SeIl58!A$fXwADQlp+d zGf%8JF+hdq=2a$hxUf73>=YCirwcpTCddlen_}$o^75jfr+t_uJ{ z06g3dXt_k-4lf3SVU+QJ=lEULq!Go_a!S%ne@S6emEh{#Qz9e2$hr>KzsQAUWSA9v z9_?9!E<~Z!3RD~I1n&n`ztoJTy1F9d$*jN?zJr5?8)%71KU37f}a{vc~1tlLc?b@|iR(TdE2uuFG zwpg9;IQ)?y&%)^rmvhRAiJ`5_)Ooy^y-%D+b^CTn4Wps=R|mEJwY4=HJG)0v>|#Dc zSQA=X&r1zT!ivhBY$?}P0exuy9L>rJ*9hA7*QJkL|4sTq>yah*_p~{Wiwu*-Gqz#@ z+TtQfy$%3EioXB(HP&AD?LxhnC|`PCPRf674iKZ%uaarj1bid z3s4C(Kr2hej44F{(u2dFUQR)l5u&BvWL=TukGAKw;-7QgRU6w8o9ZM*A#?|6V6?Si zm6eq(1IGqAB45f1gc1P1;+tbY(6^z$wgbv>XQJ#9Fv@rns{lOv?%1JmE|B2GTy7qD zU0fFX^FXQKmeMosFi$sNQ4XR=8eK(O7a3g^5+Xy0&<*lYH9b8FDC=WD9zP~}1$({H zHa*Q)Sy>6n?u0LI9Hv+JtR*uq@0aXYO0NS{SHpVOk)yi*)IQ<=&5`}zoap~A{j=;{ z0@x%KZA~v7qBDtC#O%1;KHfJi1nloV9d-Y&v-dVovtPJ7SCd?s4>tlgI79*~$mv3O zb!}9gvKyVmD|Ptv?p}xy6^&99aU|6%w1yF1I9b^35nt0U`2TeZG4;{>SoddwupSae z8n|s=zwuumv2YG<^oSx{EAb6ak|G~&x9|O7_4@^7eT zl9EVwlP+<3{2zYLCY6;LFR!@ftzS*&(s88vKY-Q$vrSOaoxvJa^YRjfteOC%wXVAo zq!2rxI9IP<@1)k1!Q$a5Xsm;7n+U8+Yilb?S7sX*Ncwe3aRiTLhX9YEXNPdrma`+b zIC}sMWhgB4Ag{w|eG7s-v{j}r%^U+AM=Dd)n0h8;aRWm`F)Hc*ApPr~PIo}@<>5S% zzkmO_%AO5KZ!R?N&vgK{Rr;=*%baX=n0^cn$Xtig$#&qiBtn9a)<%g%{RLpMNFKQE zLxcqMZvIHr6l>VY!z&*Tu;H&=oIT(V6qKAdzbHkw* z2@DxQ=u}b1=$nf?kS7}GrJB3lp=>~f1MeM^NKQ|ONSdy3$>p!EuU88U49r~5d-tw& zVBi9r^k=}tY;D=|buy!o`-+;aORm7PLo@YVV0KzsKud};Jlg{`DOo#T9_TZnQ1u`W{TD$2ZLiLiv0_R(x_pcw z?CIT^I(8l&0@PK9PZZEnv-{Bgdtfn?(P&!e{<+GAu1|}7`sD=#2m*L`*x(`~BWBizFG2xs zFDNKzWWmzk~qBqKnG5gS(-Ew$dOvmAxmEOsS_!NePIYJ~uUo%Dsn5hCc zDE1ME6FTwi{f~?3H{YUK7)u{XN$)Juf}j0=dKyO9qo%qf{Q0OQRcZg@ch73V-TEJN z4xetD)@_PL6k6GQIQrwUyy{ZCUICF;NO`|gi@_nI(8P={^az6b_#r!Bdfel>iLsMrbtKEUq@a*c$4cKNE~`S@a=-L=WKzZlM^_16j>b(}X`tq6`5fe3z3fIp&?EJ_-3TpK~ zc-E4{B~>HxG|TdlRwA2vcylDB4)>DnsdcY^u+Md4){mI=tH3#LDZ@P|WYZ$D3wGOM z6|*i_3^HLQXI$k^ZZa4&4;JMJ<+6&*kjVgxt*l?^>m-i zTQ5iI-+n!smBE+9`RP~dmCA|3H{J+Ki-<~#uNJ%3nOKQ+U=zW*bH*TLi2dnGQD@2g z;9~JJ+;#k0NF3zrQ&rd0T!&6wPDx3LNP}B)*4nS=t*A_Pbt*R82vh`0ZZ?P^d$T!K zBhp}o9g^M<&hQ;Oy8qGIg|kd&9d;^4CuAN0eLdh*E>$y5#jjqlMCdKubd6idvElMw7>XguBXKF)=@ z9jzRigIyJ3?vm*CR^1EVlV(#S9zk6*it8dMA{~5il_m7RR_5?$(w#93Evgk70jwcA zl+bb&8@pSb&y%z@L(;r$^jsi3Y!m-^FXzu>qs8)0OU_?3KVSs}XX(qE6=46CKi&}( z0V=NS;_^jX&)dt(D2j1b8cy&W>m23dCJSY5^{*+K&-F6%XBm|ZdGYEp)ko}J!c%<+xh_1~wGnIcl;zu%}w$IGvTU1-?KRqP; zMMxNKXxhHJ(vi_}*7&`IG`#u4i#=>k*f-@I8voOjkx8$HBl0t~(`mL~JLl!zyvEn+ z`^xrFX`qaVd(OqWjO2gc`7?qF-`cv@boe{Nf8)c_^|8A#>`9!Ydw0p+9BuTkJB!|1 z_M&r049~KB;>WT(&(oYf`TDo3r=l(=p zj*fT&0>$0S7}d{0WeUdnl1KiNUU$--J!5>?Qq2__-+bozkYdZP>Z_H)7t6;yPSU<> z3hL^;msX+6%fZWAnA7O-B6%aB2hfay;$EF-+Yz7af|ET40lUI9!qt_CAL;><52}tt z!aGhbZL8>-+1zoBQ&(44s%(%rbv6Dy z;dSoh^~RD0rfbb_Xjt8)6U34l-Nc09ILiGLCCYwsXuq*_L5~=V#6AR=XbD``7uxYC z1t{h4FEBq-etLl&BAdXh5E z^sKc$!~uuLQ+_@iq><>9XS!zqi=V&&bHz|@nKrKVwH^e@X8$MzQaa(Pk$0sd{!P)XF&Z-ewkaPp}>xd zB2q#z*_XM983O`hGH#mu{qyI~chJ{6lXT^ZdOem|Q#@&ugp=OrMVlvRCgK|61aPRS z!qV*KRZ?Da4Zdwzsu!eTEQ{e*$G$?o=Q^5-q`)(P6je1faBSp`PZXDb#1wg0T=zUS zHoe|JtwmN$pj4bBqVOopdr%a8Y|i^+K|7re)24~;+A_80x_9{*S?(dONi9?y}Ww)(ga zbsb!=>N9{NZnF(y?d|QZFK4EvzC&Z9>y6^$>tjAKJnG@~k0s@ZiszI)j;9{H{*Xn^ zj*6tHT=&g>Akih|WVi-}Ky4H@NDU>aV5%<>FHK(_nLD zzKH2tjF8V=Qo5XVMf8g(_sm}f)$D}Y6?34SKTMC%IuCB-qP0Y0?vN_x6RcF>@+&1NKN?4QL56a1jIu4$DSTgYRzri>OR zVSk3XO01e2ZXUu5ZO;X5jupo}CLn)nQSb3SaM!i8XC7LP&2*zXT?V3sCiYf`}Eg{bFP?VH-N7MC7!9()scO3VRICF9ajzFjZEIo zcWXfr+M{gj>{y_6gG8+_9lHFLJvC#(^SlIPdpjtdK7pGGQps36Ee#DDH#h!#$bKfq z9pK~OXOeEkz3=Ufb+qMjq|Oi7yNsI3HR-wtZ1|{ePsFos}_?fq?;2 zDC* z0!!Rm2w%zhlb4qV=PfcjJNu@+n?~Jh9aYCy20lIcTKK_!f()lkYc8k!zrn|4X$LRs)s5RhCFS8h|t9saxQ`*E85u3&5}v)RA=%1%M3^Pxu_o}0_j)ZENIyH~Mx z&aL_GcAe9c$$#cyClr~niNts;B<;yQ5-5vMGLx+^Fg1=GdrB?B zQ`2#K;2l9uW#<~y_<$G+Mn*K7q3+ns{c&5rDLjKO1<)phQAbv3aCJZMX@8`jDN(Af zGKx+665}Z$jQiaBv-T%3ZF`0!=yHKiGVP@p`_muQTSH|ey!<9_H2Ah=qG*CYZi;$j zL~>t#OJ`?VAYN!hc#8^!#mj#6a(K{f*YxhHe6Sch0NDnK2f(PzwI6!8zU~x-gv^|F}}Rw6t@+1`|2Cn z&GCuraoUb7pgDth(d9iTYw}|NU%poso2mMH_DKde98=Y` z43p~^TOPoxQ2{TFYx`JQd+BD(+saPFOC{m`TdTBZ<=-TyYcK~k^Y+pQ(zW=$!uwi; z4;P8?j8(Z8I$nIkiH8D<8ge`X6H^Dcpbfty;eT?ZGS*&+-qr8*_jI$2t93+cJbeAu z>pzek#fBtYjKL^@)Lz;HYP^km|DUV3cO9;nKvCH7`I&$ouZJ{SxL%m>2}seyG;u;_ z@&HE=oo*p%sj01C6ouZ!gwg&^_#E?MoF;38&98T5%Zqk+H!SS^r!s73D>>ceGs@Pt zkV1?rE-n?ck{sxd0ybXe)=EWmBj`-of{cQ=6F}z|xjTIwbd9#YK21a0uQ*?mH2p^h zvEu1&Uab9l5tmbeu#@vwd*>TzmcQR0=|Q4?@~)Dy8gW#8`9gNhc_8BPV;s;&D43aJ zZ_N4Q9Pe-TfC?oNdg9M4aZkaJT@Pn!+fNDztWr@)XiYL|ZiedV5A_ez7vkXLn+=)T z8AJ1bm9hHKBWw_ZHkk!e`ozX$#n`+#LKf;GoT`j2%rf?bnCzeo>T>5T@_NoIPvMz=AuRye3QEUVv)8`~iDi|LyOwEOGm z#EUoN5&U#;j14K@?V*;nWW!}6(hs@TD$l9jK7lPFiz5wpvZjvia;XpT9 zM@MNqn|JBJN>>S!2;9!vlkYurO#K9j0=I+oFOw)Q-!0Y3m;os6@tO=;=fv2kJz_LOe>WPXAL;+c+L~gSZ&0Rg>fkt z;XXN*UOYcLU?Q4|)YHC8yzncI$JXT=bx5;&E#nmk6T_U!B7}w7t&W!>{IO+-n8}bC^Pvb z3*`KLHA01)pDefHwCy>Z;^X5HKU8JNu`kkvy3)Kuh16f*^|J-#I(;R%hOPMxDca|B zi+EusH)?s&HS)R6>v7J@uEfdf2|W{(M1@q?34VTUYhN!s?|avneT!Tx*UvE?JVO9G zc&K2oxk45~y8mD6J*~BUHRIOUv&a3unHpOQD{EcOE(XA&Ible7n0LIWZ<(VIkViGI z#$|8cF9!9d-SrhYCptPh5Z~SVg^MU-nCwA_*0ajY3)l5y&g&KP^UZi1}3W4e`R)({Q7euZND^FtXSboqaL=iryYc)w~=xBR1GNq!@prI>l zJ6kPFk!|*jKQdf5!}uh(ff5OH5b&Wn_XLnZ-|+VHcnjM5wCYn`nEirsdbZ`<5QI~) zChShwIe^U0lW5fJ%q1oV;JXPe1u)8A$TKJ^628^LwUn%oQ+RlKe(FG6m#sab1oTy< z0f`E5v%usITZ8X3^-qe} zH|60tHK@YJ!AIE|O)CJ7#265t5fi)>NCSSJ;pt68vza1y!wF({M&+H*8eH*~z1?32 z$#W}8G&Er=DF3j;k(nTnjv!Z+V@!Sn+a;bP&L-JWrfUR2w!a4pD*w4RtQ2W$ekz?{a|aFoE4*-SdxIqV zq5)laSdtGHE)6kJhHk<4NGz6V5+q|1Ko->0)qQFyOrR%Q8qf$vJZ>kUuN69X^+c?q z$m=qdLtXM#4%3yehyQ7Ax7Gc-D*ha4Ih%$Y@YiMOJWYGSyeYR5Vz zaC%{cyAj`6QnLD30`?1!#xU>aer__u4+l-SpqZaAQo1UIPga-_5hyLc6VLFFO~0f4VWCU|Am9MZi^#(*kYEdL?~g-=pv#7iM@Ml z!7xo-T^-6kMR#{W#K;TtZJ0~*(3lan{um1d!;J?Mqqx0}RM2_ELCsxUjI%eXdSPNf zg!SfWhS;Oi={q+R;6gV?7oyCdZGy<3W52*T&N`VNmY4B&RXY=}l%S-{rYb z!XBzBTicQZmh}?$A2J{-*RqjirINA8TvQ@dQB$*r&JeVa%#{5UznBVe$day`Hur^r zV$HfPm9XwSGW1!G+>_vViwFfTUgEM=*8k=W8zgNPOn@tvF(|v6xrsR-OwcCVACdFe zxbpVA{u-b9b=GVK=>mvJc%&#wx$S=-<$bww{F*jJU~6F0`99wdZmXd8vi)(pwKSI~ z_5b}_f1wf_utog2_@%$-Ct6RuAa8Ybj*(?w2I#Oo1|kmBY|P3qUu(#repKuIWNM)- z)`BlIgp}?aP`)(gXS~4+y6MW-Ji-3?`z(@Ow7mS~?GrCdDn)*$gID7|2v&5|)Q`bX zZv(Rk%Wx2PcF!+ORn*mu8`Y1-_7m?Zy4wkRY4W=;ml_+Gl3)d>VK-p@W@Cd z%y5A!f|wFZ&1)Onf_f5Id%zI?eQhlkOzam$8TO~fR9SqTp7|fMugRr61eILr=!@ts zu~PeXXYgbOQ`>ky#k#w8Ej2Ht{vEf9(27M8~E~gb6{AV&YjybUqdK>RT$xJv0rzkYvOMi$OQg?%w9RTi$Tq zao^vJO@5lmm%qFJ)lNky2_z|ZcXtqN1Rku8lL382#&T9np~mFadF?+T9?vQtk4P5a zMpRBCqx*j)YJjsuld&^y`SnbaR)VJC4-iyDN5^B1>fD^+4iAE-FfYYM4C4u9~c&vEi9 z7vX&uyuw0*%dNcz>n?($5)cuH5QdC?fh8KIOQCMZtoXoT2&@$WGO3j&iU-42I&t<; zry`c1?gUnH6bye+b8EFG3t6nVmqYyxPIloG92AUefJ**!czF2uz0&X#K+II8KNGh; zhp!Y6T7D58Rx$#3dd!KHIc@%?xR^FcRA>mW9WiS&eQV;HAE=4?jn)~jZ%B~y_ z&yrmE6UNV<6x4$6FGNq96TXp>-2C3nqzOg9AJ>;5{V?+eCLv;P?|(t&cftx9e*OA| zLS3s4qvx)39U}(Ms!x_73`2rx4x(0}$fzBB1TdTnk_^ln-Y#7NA9pS?V)PLVZJ@_GP}ysw)ZH3fE>ZJ3N*JlOt`dd>L) ztQ93IYXZ91xTsXJk+syK9v>`@F1EHU!BFLIgn`+W-B5oU;PKwQ7mSO(YFHkg2s zso-(%Gimdl0){);Sxte>Q*H@0V4r~-k!jew^~0d6Nbtcugf2qKgo}ca06LJQYjw2e z1i;S^12pU~(}qrlA!l9PL8(D?Ev<<9`ub^J3uF)j47~*LPobV$Rs<#!6C0}nd2SmV z)CgrqEv&D{0j`n)_Y7LtgAo$M3BLf^E}mX<#W^Ub9bjiP@_~&5@$T{Bq8&;Bcp4=W zQw*3CQDY;CGxeTo@EukO7DR_7$gAwsDl$^iE&r|MVrIqwH7et~1W;$};0DMDGKfo9 zDA45^R{T9YgyAbnYHA$R#p`z{tU?bRadC0kI5}~_wG0+0mr}nFgAsIINk9+MGc=_#J3}O|7Nz~n}>2xU{es1k_queI=A;gmm4FR^4K4f6ImI)tl z_CDC=-@kuf_?b@7G#thfe}Lii&PYBP%(!g)BUU#t;$vm`^WcAa0q~#&8l4$dz#-H^ z`k{-qLR_TvL_d^p&-<&dKWxk{Hxc`F@g^|Yg(4>k65p6~ohDUQ*jYgEb{9RSxidW- z^2z`0XFS_Joa?Lg$j;$OqBz`RgS_d+CkphBZWlu+Tc{KceF3R&u~Pgo^=qBlE}xhknDfY z_*88EEb-Z`8+pH9UG_KQ9A{SVObFw$AN_1E;Vo-DV+$&@W=_A{0^?#$+i<^oWCZmQ*eKgo>&!Q0i;`J?^D}HW20| zwg%QM)JNI$!u1MsK~QS4WCEy=>K({3qHGsk$^h#tOcxdwl@;Orb-jyUe(nsho6A3f zf8l%}ZD)>+CP7@Gc`Y9$98`nLl7%Nm9U6ffr3iJCR8 zu-80SVrx#}TM7=-l5o(vqjW2L|6>{NwSs16gWqZOGP-xY7Zc z$fwt{e(6btt9UiR{nc?$kyU_BAsu?$9thkYL_ijXv`#H}r%}xdhXG|Vk z-^&`jT&<_;@d8Vi$1PuuB{pSbeaw{>SMj~|=>2Nv)5(GU`H+VOx$Qshu0)fUj}>a* zRD**E8OsEX6${3?-oAf-5jtnx@s})KrO>h5+qfXEf)_wd`?FNm#O|uCbBO2fL26vZ zLXBM+X8&Sq8=o7>Z-{ZKOG*S`EARRGa&vItSX*0zqzl%Z(G?5g_F2wHqKXu_Ir+s^ zl1SV0jd~LIYq^kgaH4L*z!i)XI3fcV&CRzC_>9Wmm0V6{ZTR%Cb8W>VnvL)g+Z~MH z)xO?dq|v6Hcn4ZcNar-!5%SVtQ@}sWO4Xx#%1pYJ`7<@9R;TL}2_f}K>H<1Oeo44+ zQ>?=F))LSkU_b%Vl)Gkq_CM9CqJU|?|PEIs>in$uH=Hl9#7T_6NrOQDS#`M)-z7hshw9vPWDau?r zwlz=O+7x5C^V;hU`tUjnX#XB(tCz@UeO`O9UYry8h>fuQaoK0=Yi7w)O##<{7O54C zR0jNW3O(6YgQ-&gv%{rgh*2k-;u&+ z%MMXgkE1s22dnmj=^lO*K50}#d0ZGD3t>W5B&6gsb~VU7qA-3U?mnpiRyQor-yILO zz5{qh@)_nEjpgCx7{rSkH_5+|+$6u_u^r5DrAK3*wPpD#?0tJ-;hOd*J8LDnKI@HV zg3-sw^P}H=ej>WRIX_ro+fnm|v~^-41yJTWjM8HoO4zQs9|8QZUs2EigXAl9kISho9+liAgyNU^h7X{{l1p@%wi-=zyjbHdrvMOA3WM z?n0V#7W-8_8Xa2KWP`_11=C~pa~rts52Q$=+mr6D{`hhE_f6tQ_rfGzzwGEEA%FWa zj#TS*5Y>$!wT1=7R zEIHHpT7bt~D6wYTvO`*#w%fLUM#GNBhT*I>oa6WQ;yrn`Ti{LP@H3oKAwzU(gK$}Ur-?eY ziL@IFzrf(jbc^<=m;hXVY5n<*97c0~!bkU6OV!gpOxhd3q zd+os2l-GA$D*2Mu_uBaco9ld^sI*uvc8+`}LrJ`R*-`n@(tO;9>s^_}?zadCW}&KK z^#^X|jSU&>FAW_ZPNj>v5fT#GjA78z-thYmt}7}kA`Ia2RcconflQToHrDY=*Or7w zda1}{na$2!=}R1llHUIPJ)C<{`!{2HG;xwK%hHgZ{8_!w!z(wk+BKZ#JniNcvNjj3 zzxZ(?fDi)!dF>+UXt{Mu`#)%S6hEKQqHujQ$U>fz)rd1Q=rF zdX2X$FsbY8X3}SA&4kLuE!B0A)}_@S7a4{qECfU%4JjZh#L#;K+d%d1fe8c#^tA8a z7eN81YyyV{42`{n-;+{RU9I|@d-UQ3ajCiGnb=q55A3F?+5J;~2?lMa$WPrn@yhEd zkqM?uvXd0~a>sy=SHw6V2oE`4x^TR}---}p#Fh)mW^H|)h?LX;3Ik-^4CY~EWMp7C z;w}=u9u}cdFPe$W%w6(Z8vZtwm1u<5>TuUQl+Mx-_bZJ<@Z&TWPWnuZO9zPc9`Cag z5^hcNjatHkxtIF9JaN2OEu)^eJktL32VcPC)Tc@F-rx@+S@axC_MSo-5(rY>Cp})5iNkuo;B=&-t}Y4UCLBVd9~;x3|qfbYJ3Sa`IaYKg_q417fycx+Yj6 zcbBoj`?_Qb_uK&Pgb&xA5#!+bU!Ipf?`V@5C43H7nnZKoRvrFy{2NX7e$v9kun$?d zAZ=JUsLEiN@cD}u53S03y1F9amoGr+nJRwQ9Dyf{ilL`-dZ4s*$l4FBB1OJ>wXQ%A zd&KP=^C5TKBf+fQwg<@?XfE)6N02PL;a3%C0@H^6WsYhL9oolC@x4IP?X|*nceSb4 zVGio;bLLMuAC|s~GDp};2}wyLzyF=}n@5j1;(afB&J|_GF|F70#WJ}lK0~%ej%mQ}{EqVRO_uP^ zqaP`M_Ebq9JFP8b=BcH%NIx{8WBysaTY#zGhGkWXLpv&`fed=G8Fmh~T1e!Fpu1!J zBd&Y-^5uVkE>^noq4G4&<0l={J)sP>WE1y=JiIVhu^VXG_`ILy%=sbh_}#<5AwMR32!Z(o%;o((Y3*;3Z^gJCF>ZK*Jt)6kVy%ggy+cr>R!K@nr z(iXPoXu*&^%%OI`@GE#l9HHcf-vxynG8nu3iM)bQF@DyC>st?0O!hMJlDL@fmR1b+ z-U`=w!ZSVEWzIu~NBBrj_UzzVcIV|D#cf`X;v;zTBB7aMLu^0zmw;`^CKSaRP2 zyXozpd8M#=w9zyyiz;&8@mfmLvNFFH-eiZvjpjP@l1urgk#=TO?0UBm4o6EN-JI4u zO#*Hqii*?~U7v2jWyy|xO|kIumGi)GZJsL}eN^7Q+!QJ4J*y$84z|{!;=ZUxfFQ(o* zoa?@SAE%_Dl3he4E1SqBN;1lbvR77iD6?>-fe^Bz5ZQYqL<(6+g{*{(%*@F8p0E3N ze2(LH|8X7nab48={dzs0k8wWE$9cBC8Hs77Y~GjH-g`TVv#;~|Y+is$*v+z1YWcY1 zd)yTtHYB;(OzRD_9pXM=b(}(hPB41c_0c%(`&)zd=X6>gP&S8KdQ|$pSb44C^vm8$ zK5d)|wZW`ON~7ALth0A0ce65j6U7XNqGA_m)_JqQy*h8=x!$XA(rC1V=RYV(iOZ*8 za1Dy99+56~H?FnO${4X~pVpk=ZI&k@&R+ql*u4sLPuNxmKi=MO>hrvuJ~lixR;%9k z$=@QbdOGmT-Kv2a3B)j26ZfDw^Y)bJDfP-{*Xlm7E9w2qe^lv9gFmIti1U9BZ>3Ap zcy{ZMY2F?|-)lS4F1W7fp;Z29*3KEWs~Gjkww_O{d39!;gj!H@_|v1GtZBb|Y?*gF zV}ekhL2e!zcf5ZW|4NsS#7nx{mY&U3M;+GwWp-K6PaOH{`;hxUbDoA8clF!e=CQ~d z?%5T@brhwNvHH(BX36QdYWrCy{xRAs?e9r>^vt_^)Rxkxx}CL1Bb6d;H8b%Ge=GA#T7S3 zHzplJH3Au#V-ux4BOC|b6r$BoDGxg)mxNSQWZxrD(cBo@Y24O z-t?&%<=uSS^U44GysN?2ZxglCQP+%#)V#0 z(9t>bTW5lwEsgu0hPxr*_+Bx7^&=#KgLXD*!Z2 z9rOh==Q%K{nVYxER^3kY%giu&YIL`S2Upb7%g3Z-9lhAfF&uf=LRs{0Iw@&sVw}_) z=3D*K+4&uRNm5gUy&FB>_8!j9ebkviYrMTF7=FoaXvpTuZ=vf9EEWTWsu!sP3@oqzWJ|oGbBadG`2RR4@;G_ogg?=$Kn{hT-|!=b?)jBArpVjGyk(u6mv_Tk?BpKbd)1|( za>hYF!%YWO%Cj?Ko1;7=pKI3s(&3yn-f5SChAY$V@|UR=zQ^&!<#mSflvj^hPxguj zEpY^IT}(}Jk*;5O&s6(kQLkjp`DAujy1ACl0{dU5Q zT2fi~?-@|tc>skJmr9+{kbBc?L;EniUS@9@yeqzAa_VzH4`4)g63f=kV z27SV&V1c(64GsH6!`8s0;A46C@Zn$_afr10dZP0mmNhiCh3Xl!->mLX!KV`GIjWn% zJuUNG*~>pEl+tr})_I0f@^1p=wdbZCKiD1zHCH^|agcMYV03v_yiYGVgFARzt-&os z@@4Ayto7v2==}$CDPm0;WA4hFHNH9O`Y*@AH7xEjCzXDC$i!=r%Z9C~x9*6s9L&4N zHu;4@G~juq43F{T$DG`8E-ul9^9f$8yVMW3wUb+6yL-Y-G9oha#*Zoq64Y`cw%;b+ zG~R#kpvY-Zc4i*HXUWK}WDf6Qr{kOdP5$|oWArqh_NmGa3Ld=_qjQvqwHZC@-@PQ6 zl_Ltel-&;g89ruqVB*L0*7muoN$0FHRW@43voE%9QRtyxVA6{y=um$8G`Lth@8F-q zYWrwnj@EzDSK3JP@iCmaD3I|zn_u-%&&xBVhSTD)v6m9aXD#S{dtPs%ve;`ir`>at zWm64Sf9A0)q$OqI8i> zA0VfwfQ7h{JG6=?pdkgV2rRP_EX730TdepOSd9YFmDskz;%2A&NtBTalNAfT?GG2{ zCnJy6#45@6s3`2+OGhWg#JtXLG2dLb(_Sj_VC*%Q$q?=i&aXW_!Xc7*w;#`bdnA;& z!RO_w<*KS%A`o7uMRQMoy(1;GWzcry-G`&}+i?K_A09m-*U|Sg(isZd*@UDY#3s+j zX~5X&QaAAKL6!OSiZ`j$4_xWjV>nQ(`~IeY|+TQeHFd zcMU2ReAAxMn_f>lIebFh-c9&`40Eh>!7d3!uR7Tu`)i}#wQlz%Jc_#9kdeV=$#C;j zer(UlzH2>Gnly2=QJHq?MK->|T}2;OjW2mf8t#9-x309m*#Af^#Gn)h-(tyWLmd0h zC_e?w>c||tt*kgg7)4nnCF79@sHmyykYp}+c!)zV5JaDNz|GW*jQSz&C-#(cyv$N;?GrKDFc8F}7KZRb&AJ^-4K8(za-c%ZWab3#;t2g>2P_taq?X=~h_`cMT z-R>>f`#B@}q=CA%sW7*Fkm|@;tuv7PK z&z`;S0P&aU{t6ns=-<$g?CQGqaPQ*_C(+0shqSACcr7|FWfheaY|#_LqVjLi=t_Y6 z6QU|xTL<>mF|Xhm{n!{e%#r5f$w{Xikte}>0HEFo|z0A?jdTX)I?6MK}=h+(JOI3-hL%++! zm~*f4=4^U@-jk^}-$0P@Z|ga{0@SUVoYR`mdm? zCgh3GMRg85t(;7n5L(0zV_#q87YFd0>EFkUVouue_D;RoJv=g@K$F+`-)@(k)8xD7 z&m$ja7~MORKOd*8xi)fkpYPF&@7jL!npb9JM13;j@y*HlFY1#pS5a5f=mW~OYAZ>- z;njL+^0x1!mIgJ!5-mAH$t40)qH8WAr&bbc;)BNWGv%AbE^7)6YE<~OE>K;JP~&6h zQ#n`0BO?}+5)pBwHT>66qVaC4k)l}w>X4VEtsSLMt*IKLxh1>qTf8$eMOWJ{qcyHX zp@C2GV^EBg&YMjQt%D50!8YBWt1rBgS=(&4U~7_oNZEPxS#{N)L-+btH5)sVUP$tz zrM}WWKx&tGnc|;n$UfIHP7VAAGqdGuW&*u&QK}DU?7hJD&+arr_e=V*MJ4R{SH1^tUfA??8 zH&iVzTBY+Hr|a&O*!_~XH$_l#7 z`Ss&_fBL)p`)^zeQ(TWIjA*U)h+wmm@fh1SkrKb6O`w|-A^XxUq}d-94ST#phM{O* z6YuAfs;2BMtw#ou9yN%%er*4w@{rdkQTl$HGrsmr;)SY+Xe9RG*IdyqqF*Lw#lPzP(q`We*b=ft{ zU%Y}XlvD22>^8n!M*EcUY(zLaowbzRuOgPpb4?P@RCzK!U*A1;;tJ22?H|_`?I)Jb zC8a6u6vv>-z$sIsZTCFt@>u=H1|Oz7=?X87D+?ZfdC)|zvv+vyy|Tn~&67(sPMrGR zZdxv6(M(G{SJW`N2BhbxoV&L+UGy=Pp^Gm3vW~ZXs{UErPd7Ru+}SkNoxJhc-pJiM z#U$9`r?0y+H{Y?;Omhux(q);W-xs{f4SbDe|3g2%v~INIzD|})#u->cGpoE?T8oZ z6edZ5HjjSTm`}bDALfo@GfBD}{UooI>Pp+W2i?EVW-aw1WZckejG~EIkca|j+e0}b zAV2~#Qm;ro)32Y~qU$*fAXY*4`&q{d3Cjq!`As&SnL>@~GGZV0Pv=;q%N$Xt zIX>9;>9m!W_M5x(s<`c_? zOv~l7?N*KV`}iJ3ud7GjTr7O|!S9J=?-SchO|!ohYRKG|DLupW zUX0h9P&)InKb(5(vvcgn6`d&Vjp>rSxdx|p_ga1HxH+GH>0dY87jL+Rv5lE6v~B-Z zk)eDj<(W+xKy*Jg%X=M81O=$P^3!iUMsu}|uk!6~Q9+t>asN3VyIE9fzFZ@9+Irkm zc;C_ziW3xxyh7I6-Um4>ivfk+9ekdX)=%Pk{Nz3QJ(=7&Qg;JO8@2MMYelco zJQd3SPh{Hw;ZQhpy2dtb(|SzW{<`;>p{Ut0MTsN3(jLcGhY@$pBGA{JqPFKpP?Qq? z@RV))>m*W%r1eq&*JAdVp+ z`kG3OQ`rsD*^=c~hkqoKs+Z-qx74uwG_*SLLaTkie^kKzSMfVO&tHAa7cDyvbPQr*#}8%ImYqJb-%emGZ6HXYI{copM8>F!kaEOh z!_=uQ>F?*mdibbitm-z$sz)1RYx5-iM-`WXPs`8z^gna_O)iiv!h9v zd1Ii*^GvYJweE4s7iT4_B7yrU+>%xYUKxRcfzWrX!HjiYx zw$&2mn0Te<`Q=9L&+Y1~L(fQts^|Tyk@$M%+3bFn}oIf)r zSDoM@nd>*W!hVy3@A=DVR$+<*zi8ujO6ll?v#l!W-uW>z_+R7O!FTh)p1l>hZo=C( zCSm34V&kcuoO-vpb}1R~*ymbM7Y8-#*k~O2mc<`QUQ*j8&-T0eh@uzG=Gz|^v~Gu= z`P(5~k|*r$b~w?EbGrEdxBxqCSENsOT<6$RxAVqA?Q!Fo&Zn4^i0x(~_o=*h`u7@L z^v!6><~%avh=6(@QM$z^kx{(KV)0Kb_bOKO%B@^15HLBocc?LUe9eBKDO<+i?2CMg zxg{s#6I?t0+^ViHtMco;Y=1{4;%f}WpPQxGC5Jt4g}1z+;-PS!$+`77$mUV@JyFWe z+r!TnSM2<=d9R00mlu4ysDJlVX`(|Dzwpm-D__<3g(xp97=GUvoBB_uqQaN{yN5=}&m_#<6NZ?(=YLoz_W7y_AA)0i~Dg(sG91(Kt*| zl`jO)ZydR_&(+zP?tzRSBIQk3%a~cbZu19)XZM`^}H%=R}6I?dQsUrT)#d}$E{l+-LqJhz1?kUB?wQ&k}aK(Da2ye~T3Lv{bIFu1b2;yA`Q@1A?UwvWNs_{`(y* z$x(+}7&_5t^xeM_vmhSv%ypAVgKzf>ou3L9NW<=y--{A(&(k(4MM56-EWmn5dblr1VuVsRFpx-oVAj5g0eu`qa6eBi2i(7JW@qR9 z{<`q#(?o}Y!7b(mrj|PMuAjlW4-5-?1&Q%*kX5T&!R!F?Q~pps!k;+d7VYE`ltK)A zKr699&s%ESndKY`b^sM*qbe(<_zcRZ!D&QOiZSmFv8GN_fo4{O$BhB|l@Kdvp8CsC8Q88t$*`VGZTcdsBxu zHu<-zH16gNh*GnfBr@)b9bdY$X2C;VM(y7d0@&&6OfcWX0gk6d_0nHiC^H40=ciL6 z`fCt=2osPy!tx%;2B1K!rzgCxE(aZMWcrkKA@7FuVWejZ`bprb7rpMDS_IDSTj3WOvv9U( z;%r4;*@1yI^?Z)1@?r5;0^=sk`cWjo&HHut2mZ+Um|luer;+19y-^+R)^l}qh?KGbJIGBz(CN(U2(MO=e0$sli zOwgldv5uz>ELE?ea~jcq7=0V6pGyhz!J4`BLTS3R&-iwSa-oLthBTTrt`bB8R`>WPmv|F1x1lBV~>rRd6NHL8gp6^w^pxX$y3v7d9oh6X&*nm)jwzrJ((Q+(x7f*?+}m*|6q8Q z0D}h(^&~ZX5l_sa`Brul3oLroUZMbkgo(2+x4lM*pyOLzVueW(p$F&}8+#a=My)v2 zglcK&9RijF38bVkM!;kYzusu^MqhXw0<+kKd;odnc|w0a-oXc8=KdqlZpq-1U7tR^ z|3NlQFcudHbsdP{b=yxtcb<@DJVUk$o%}+ZjuboMEw^JbOtkirZl|e9MulZRgTIRM9v6n>Sjuw)WlX>3KeJ zt@4M92Km^J_sA{E7?w^n4+QUfJVRBRNxAN_y2+JfV-RNCR^23U=0z5FLs7}mhmplc zR%dPp(UgEmBIU%uR)Bjos!hoEZRyN{4#5)iaUJ&a@2q*;f$)9s`>QGxRy#rCh zchKxDZ3LJ?kfGCZmM-CuVzCzTlZ)V?(i}V1jsY=mUa>_JHKdc?VVR#;n)(jHKDatv zWeI8=*u@cK4AH)zqXV%dRVW&kjx&nb5DHKd5>e{Wc~@Q?BtG3r!wtd11oZ{Ogw7S^ zix*$uJrU9+KvW;Wt0b8#=*+_${2w2P-u7;R0L`mk@^ScRyUgFCiIPUS<>DYF+ji$& zf>3&C_cFwYJIWa7=@+1>YVhn_M#Vu6t1GsG(M&%gKPwBK$U5cwwlDZn{%s-aR)H9w zzg8cM&UbSd`v|{gKY5bzi$rbkqlP54V_)J&jx7x(ywW$bvs~-aXz7Xey*)pU)^YVs zFGd^wAWXy^>Rc+D@(i6j;+Ghb$17AQk?go_I=Jus*cy974KHo9cwBt@6TQlhyq^cJ zGLa>7P`S3UoJE*R$9_^T*&1d*#1ty{4kEZG9v#V}&`>LooAh5eFHLAdsZ(pH3d+d( zeqzvq@wxLqM3GP5&{xYD{sS2%HL?hf&>5XgpSxZkM3<4(jNA43H$gDAdG~`3s=QVZ zu>~E2)(=!ttn9`KTkbo+C_=) zT)(td`zxkhpg(r8?m~3tjJfLI@j)i~2!?=oH8Ly87oc~Z#v(1W;o31v zeJ^&~y0&Jp0bJPJ0ljW>@jpR0>UP^JFjc~I0_+DSax35NC|8r;mJyb5UAg&PG9qzm zAL{D~zV#nm!W-?`St=M=T*~b)DKBsA=mMH87BQ-WF!r0vb=(#D;aU|YvPMO48B$lQV+BKiwp^E+R5h|^N(!p$rbybGigeE zJE9k+b1mP9{Y_7PcoH@K?;{f-gGRh_Zl_Ue3BMdDW%x?6Q5-CXv9PQGgOX;22vg9$ z=XoLT^`iwd3qH#Qu3hgvIp~tElp+<`NcDzqEz)CfXv{npjCTramWES67$C{tQ}JZz*~VO>h&R`CVpa(V|0n ztut?qz*Ps!{I+4xs4pxoPQ5*2$3OxNfpo}@f*689DTl-CcRCQ)URPGyg*n*ULtU2b z^yw?!{NRxwVN7=Awm@5)`v94BYwSBP&f6fKP%7atYEq#^Dh|)&SOzWc`&VRNFZIcy0Au~3t(2b?&Q8?0(1H*$#?c@)nZbSZi-}>t z90aI;|4PNRT>Z35tzm(I$**7QCRE)$iCSf1IePItTvjfsseNOa>#z7~?hOlr@5R=X zAc6Z;xZl7WulF_xNm#})D6@YzIC#w0*B9cx6J5CpWrFfLI^d?3dfG){N>dU$T?2I= zLV2TfxwA+RANa6V+vu7!2+)kUp$>|y^L$rVoOUAAzsBmyIhzEpOxBd-{ z6$DBQdgl(&&|JBpVI_DNP9P~T{eUKh2ASpG4A40+oqA*COgB5%6zPz^;^Fe-$;Z8lS(ep0fQlN_l7eX;%-XXEQl`5ua5eJZ0mL_h--M59$s*fDE5f z_SIbYNQgs5fLNEq{0wb~Chcf?WZ2a)kZB-ie;@Y}qB9@hdvY(hrOndRskh`5WImXI zJ3)|d=O3s#LQcUAq-#P^<+D`R+dJMcrn&@bz!5=H5-2gg|N3>|$^v9El%Xtu04n0p z`;;iUaRY~;;T_94w7$Mxj3FH%4|1cA5TJrC))6dFq8mb~{)v@@Y|&y93mS|0zMH}5 z0t%30!Smmx>DjlB) zr!T?*fyCH*M)dK8>-QDuAs+q`I|eA667Z12|2MVpD}!eCr`EXB<8KBjhkh*djJ%WX ztDriv%S*r8{r!)BTP%5b<3qJ_b*)#Z4swqFxifu4ZJ%zFaNbH+O8I`*f$!kXMi{-c zK6{Zlyk?q(bs=^jW&K2$9#S^w11~c&u)wj0QPh?YDEy6+1#ymN;x~7IaWvDm0rE3J zd@Qn5C4q?<40$+3M6{*GG4IbbDCftz(l1CgxlMj+V&!UTYqJFHb!m2h$qyeG{ZDEl z=vL0gm7!oOcqAnTr@I ze)mqgW98rCs%`vk(XhBZt&Sa=hhlZ^^Z54=5|0CysK|y$1wBXij?G@KwGfVRaVacj z{U;ahA=&w?Zn<+bW`JSUG_9g5D^3M;DBjI$jkXTmxn3GOPYXRg)lY?^CuW$&1s2|` z9Etd#O#8Z;tgK&AjIqV1Nvk^o%Cni@_jc!NoZXZ+b4o3~_?%Uh`f}Ou%$D(qw^!n-ND!O@WXH}JlZ5n=Zps3s*{`aRY~RyZdJ;c1xsn6l!i^|=Jx{4tM>vj2Y2vd zQ9xE!)wh}CNym8S$PZa+1Yss=@%Hvv`y7khXOR`|YIQbR5K&RO;?mHyvnN1)S~XDPxDukQ9slfED-4hxz|0JqqO8QV zypGZaRE!2zv#DHc1ad&4(!jvLYiZ)<*HfIdie`{dKr`^Nt_(zcbQ5YgyXfO`O1x@u zam8;<(jugxw$aw*GtkheMX!O{61EN%UtEt$dpsdd08FBSb%5l`VHR;Owwtx*))|^( z*Q6Q*B+m!F({`k!Oa0w@!+BO|D%5D$&`VxVASH8zx+B;_q#r*l;lhSUVTtMv5<4v^v+2kC1$>NVJb1r_p-7efnoJsDakl<%nqn?m9>LYFD(s!S|ar7%6U zgtFGfh!3DEdTek0E$z2J-h(ONG5Dv9z+cih{}p~{1O1?WVk>x0H|Us1j6Fx`2+|cH zU|kEze7(0m5|9T;!$jP|!s0V}Zrplz)zXW*hKv`?f1SfwE|lO8c{95rJ(wm`c2zQ> zI5>0E-XK|UeKW)Qg&4>{fy$a1+KVr@U-b?eoDwGMxV~~$OD77g-veMJ5VT0%#Xi=!d0l^8)LFIY1O4LD7d(388f; zH+;!6lESX0jb;pWs}32lTa2LPiERwPGrL>gdm_tl1=T_Lr4h?%&9K$*#3QNjm}f<$ zK8$dLC5w3!f3CwH0u%0rK==d;BEV|0{^IEYiFj3Q>{|+nE#g1$ zQTE{jLq51-<)62wCqbFP9teqRW;%o_w6wHJTv2%G((3$OSYQ(r*=E@Fw#%WR!xCau5lAC0x|T5W6g} z9tfN#63W2yT?S6`fKZAE14Nt81b8AYU>|)d!+)`lbXojQ_qnf=f>pHoJL859>-z`(BIOBp8{8(|I^`~qUTd-op|e}dMV4m?`OmN-%Ek(89w zC$lA1LG^!g%X=JBTix8FtT$$R!Yi`wgIwsBQ?(Q(-Rn}h>fqRHNr@~qNbM7i-h+}6 z6&P*=v38RiItqgRs*j@IB0~kHKlw?3l0ue z44-fQ{@qZjBCW}y&QwrW`|xX*EhKOsA0OV88k}~}#LYfDqJoQok+&@5qEKHz*#QRz zy6(LxG4miwUvGYT3i>ej(9RQDEi1DF216SN*fB-++PtTkcG~y`&n7IW;W}iV`IY;tAACA$`x!0EC6>WRcfhi<}Y>tDVGQ2J~2=! zM(o9`RAprm?l#B=p%5}4`h1X18;D(_pE>BCu(lj~?Cz>Rs@<)PMRfo;#=n~{$-f@- zsTyM&Yww$87)ZQ@DkB8f7dGDY0SA``{Z%aMClx8Dc|}$S(*tN;n`} zUCa1Py#F!z0Re+d4>||rS3dCy!hCWn8RD(O#7zScmVUjziF+piV}jq=I|6xHyg^Vq zaV;G*<$-pBsPrb+4n{>cvX%0meeLSHIyJMC;D#U@5xxEpQeCn5Tf7nc3LFn#%5-O6 z6TqS|@t*XGtw^xv9s(4|b{%*@M~&}xpKayweu`*jm3K=q8LbyMPp22l)q8yv4W$l< zKerSsV~U`L3uoRG!H#}!WOnuw?lP3F8*D^&6nM;=0}!gm*Zd8D9)D~Z*BtyZlpv3K z$tWL2OdpF{aj!{S!`fl+*#giIC^0&;x_NVdNIi(5ZmxKp#B`1oxP0u zf|QgLwZotExgHDQn}`uWG9$SWlHn$!k}Y#4oGNeg#oTCB3C`@YqTqG#&d}! zzc@MHw<}(s62!uiWV~(HIDEY0D= z8F#`C9+M^DQmD54yi|VW(5#N*O4mhQtMwR5Vh!%|X0R>?zeMwBRl@rEt^8A>+%HE5 zHwI58KhU~wKn*Q(h3qU40W%jna{tjRnh|7a(aR5DPcUz2j1cmV+);`ia8r?I)Y z*$K1fY{c}diHV7wz*=n^;pLHyI$axPNS#A40zzFjiPZOsJ17Oe7X9>ThMyNS6lP*^ z&NC5NdPlJAO{W3fzuT($U-28AI5HVvuom>9cN1k}I}f*;uCiBYX_vwN1M{@mU@pFJB*9Kg)39?Og$6eJP4f`IftT`6{E-?VPf9JWg#mt(Bq! zm;~yigFT^T6mXx*m_ja;sy~;ty?F7FBxK)VL8zLDi3#5T&SZ8Mv#JhLb%lz<#u#I1 z$A?baMfdKk1A~UCXFRS)t#sN9b1%Qj9nY%FbpQ5v;h69GN5NpA?e!F!j!q}j2S)`7h;|Wmq3oT1+U{2zRe^T`@JlNwcmlfjjdM2$P#n!J zOt|#>#Ds*x3D_tvE`@6Y7&eJmA_I@8XcPp*MuvwKP%`rg_b@Op6hl-N_v<$X6i{=d zZ{!Xle8Gw9hHy=vO|PRf3Q1i;f28^{FfBkU!~}x`;5MWoUII>v8l$gF!b!j^EAa9w zTp|{F9;uN3A1{t1c081wjSX6AhC|PQ48mwP7^GcXEUWN;!-%I*9EFIIDf0KSTYeyz z5RipebrMX00lhjDqFaFrLI`Gt;3Ho%`>uaz*4p~ZzVCNA?xB3Es`~lUgnLKqZ;QYg zC$~xg`khBrnuj{(Zaa?-^s7W4{`Q9dYf{GQ-*MyNp`my9W~Ci|yYK(6$D)qKLWK05 zq{Q;)u~&Y_a-V81`BUL6Df0HO-Nmh<^&Q7@r2UioW&U-$pxZLaF4QTXlRwb<;g|1F zSqP>LI5j4&>*ydH-!#0$N<`vP&rj1Ix-J2iIQe(JFz4^HaI#Yjmi*hu-G=>v!%^At zaZ$V->HglLWfxyFV_n3tZ+q)+&7>o-){rKB)M54Jc>^$14{!VK?r}fCWO7YP)?1p4 zVLd@z(kSx&H`kG6*|t@mJ4b_d$luLVoBo>fX3I~q`v1593G5q}@P`t+BHnNFZf^`O zGNZrhQ@1YQlTD`qcLQg}knwbHY&g{cY{qG|=snixZ#i$up-t#u^0v5( zT>Czdp2dx<2J=9DUXj;Kc+(MVW|qr;?^YvbqW>jP;@8{H+NlE z7k%Po_m*xl*93TtZ>`L`tK7UfKe$!VhE=qtrr%D!g8|;}x67W7M~ZS5bp6)Qj=I&z zPw-z}ddr=8k6o|oTgzJq_m!*v5~AVu7`o383$N2#Vk2dQFXzyZyuN;~QOydpIC!bM zeqa1WP8Kd$2##xe8f-&}Z=g3Dyqs+`Nftf-7OI5jA_|?w(DQe3-UE z+nVU|p>*Dn`_>1z&(a%L_WSGa%M;Xh65DyonmyFdKV`P8iAm?BbBl6sY*`Br)<3Iw zHFxf{ijN3wfRsJDAZ#)ZblTw)KEviVAu0mw{m2>n!;m;JMV;C$0|Dym((@l^=sWi` z_f@!ZqKfF84BbI5Du&C}ihA|?+dERoo305s!|^;Ku-!TUtw5p{Bb06g zyTu1!)>}4UBO;8)Ku*b$Bl8zkwXSv;F|h>DQL@Ll@$nI&#D?b8F#Ip^H3?9u&`ZDI zMF#hSnl9TN(Z|$=*89yj>?G#x$1jNY_A@z!kVn>CKYg3p{S+lzY}q`mt5WGJ*R#1q zqt7%O@?3T(RLbSo9sq+EBG}-{X{VXLKv){ygy1eTdnXWT>&uAZ2vZ_c;kXj9vzhk1 zXEkZjxYa?5i9qxrq0{*w2FDIMX61fiLF`uwB5OIV5Gc8 zZ=NF30j$i^+5MUoFpi1uCTi)236nRmtbPRbJ?7WZ-@a)BjKg^EVZAK*J%6MSP|nq{ z#eP`W;!#%vrjyuIzieZ}1$P!JtTQ8u#^YbAakNw^LobFMr~+_lV$d1Pa>5U5+B8f| zs_<9Uplz|-%z_hc7cX4-?zBZ{0Kc+CvD)i7h$%cqFl#XG$d9XZXo=<{UK~KwN1#IJ zd{4q$A7UCvCE~D2rz^9zu+Yf9%ExheV|!&*iZ^H^WasMNSuU+G?meuEWP5Ejp0XZ) z@!h*SgUy^QL}rEY`YusMJ6cg&-aw;!jEW%xT#6dge)mJa$p0HyU%yu%7rj$Hm1WW= z>7kOlwY#I0Q-yb2Ph8xtWQ{$Ax{r~|8DUmD6k1qP@@wlkbRyx{eo|2I3DXu*{U?fl zSQH{LGBP3_b)U6^L))et01KcM?+Ly~f!R67ZM0YfDhZolU48vJsJ0+Ia&_`AEH~-&ywxAUz^q_aMR}T>40PM zgJWyE1)SyBEA6+0xw8l3i#vD)*FP5KwYGl-y4ZnE87t<;#l#p;d=OSQbFqlQga__@ zxE{V;pOqqzPgU>LKPLc#V{hIM6KSHMBqWafijJosf9qo0EFvmOMN13o#NCemGZ?R| zuC1AUej!ij2m|{)P9I!|?$WrW39}UFXp{1DQNYg;UmW5x6yX;GP|%oy4bVT2appO^ zQi7xcqaRp7mN!hnH-`jvakxznrylfSVi{v>X!sb}*$fHyP;fo*u_0F6&S$hdTu*@- z{vZmV25hDsVrFhLs)R$m^BNr3nGu-$HMl-t)b<(Zso@*9KvfgedJpy=*#WPgXHxE$ ztxj>U*5&9GI};w(Q`B^H^$8x`2*cnwK%^yq!Cf=r-r%~)jm{x%$7JQaf&P4^siid;c)B8e$`J83KTZD*cBYj0yp+GRxvH; zyZpSqTqw|_t*d)6K0dw#k~WTm$hS~v3Wh(>qenKtIlcjDckD^U+yF*_Bmb?2bW)8iY4T1igr=_7e z#~S_!VX0yXF%q7P%v4l#3=EOc(ex0wz4;rf+nm z^6EGbl&F!=oCY!fP*zmDk5)zz&YsCsCoe$ul_f1b{c2nzYHVdAqeLhO^F~6GM;)7A zwA9pE4oA?KWdOSBOmF<~;YmsgE6z>ROY9g$K>ZlFLpZKf$We(1{CrlM9T3!C!^3qB zgVo+KWIN=eTI__Lvjl3ZbS-WT^L^ExA8%@r_GBnjsZXPxEE*HmYn4@|FTVVwr!~?- zW==r(xo3o$b<*)-Jx-hTD0S=1%=TN#99`xsah^*PR6xf(a`ysOI(PZWB-=tG;# zM<|~mdIMo&<>wDIa5LbJVudOk%+h}@7~&>j?&Z9_b%*3E0zR7C*Bj^@w6mu)3rFkU zzu$><1P^?)YcW{bBSc&OEH1uBYKCzY+Z6^SrAFIDN;uWtBR}9_RFBTgNEGQP*EZI z$<$SmGiMsmL=a+jge5AP24`pIT2RI`b#?d9(9i%jx;gIU>DiPsnvvP`{AQ)kfmU<{ ztO!BK?4#*EPcE`?@$uaU`;Sq~v9+aqBaS;$yE%dWoU(G})vp%XIo4~pxVFm+3Jyg_ zM+@HqG(0q_S;&*0wZXGn2_GSwX0wu2zy9xt!&PNLVPOTxoR=p;S`LRe?v~Qv`O#BX z0u)XF8~+c7<;P8A<9a+}q6-IDmDOB@4*4-u<+RuJac%wl{Yl{jpDiVYRON^DfpATKgwj*So&%^kL#?28pvPP%p|j%qW`m7koM`*I*n|Ww=Sl3!*}=T2KQJu^!FdN zwY7civnE_V*Br&80Y4r5JPR z7ZnL3dXoXCC45$P_>-U(YydLtnX5}k*}hbcB=kNpw>1Ucj6uo1Nqp2BY2M`FT3fWSXQQ8w>^TanO>FE90@ z?f{#D23G?L5~5%sBPXwGZGAjdb{ECi#^xqbyE*>ZtZR3UfbQaLs@T^xDOAhf6Vja`5Cm6%d`da z*;k#*{}rSj>x`mv_Nju!-ZBa2>`QH%n+&z@3~&E}2o*J-;cMsQDvEib9vJ8%HF$g_ z@v+Aj1-m&IO4cW!5RU%x9uiNCv6j|)PNZ_;KH{sgCuyN2>7sqe1~5krc=gS=u3r-l<;%+5Rp(~34Hx>-N7LQMJOvw zZ$Xd4mEBEfY2Bh>WMm|2S>ipT=pj%{8(UjKd9?HHkmKN6W`quS%9Em){euQ^B*E$J zP}Dg7DG&8pLiHJ?1eA{MQ^Y^ogCmZ=xXMu|Q#%MB#bqE5NIP-B@(e5fBWz%G3wIzj zkA%A4yy*`!55k)eg${8$a4@UJ3o+OKj1p{O>e{B_i`3M6Kv+&9&r-5T6Su`9*XV2y zE!)+rSF2`!x`0IjuFbF9Gp44devoZtg>^Ze8{zhfH`{2`KHmNuR|hK7hq<}A`@?j3 zA0QCKs2dxzz^ufi&pbLVE)Y*tr>{9GA%Q|wRaIO{s^#TgvK<)jl7WSSaKgw&y%)h@ zxwjkqpZ7rPsOaeKKcqZn4#pbPXCFY?wxqOYxcxcPuJA)KEHximp0VadYLJlTHN5?> z{Cz*K)bgS3>t8i^PuZQ~;g1@g+btm2+qR>Qazi@)f{db@-47D-_~zI2387kh-!&QT zCf)fqAn400(J5cB2++>URSqhXMm_9T%LN#0hU;lR+^p^g&vBx7!QA@l4@I-X7d}N4 zQwT0P)AGyZZKm#vvGzy_|CGSzyTY&hGGN1eugK(`_(T&7f%Z^PjEu=_82Zq*$3i=_ z^E=&b`0&DCqKmr*!H*ELW9n!W-2dL^2je51L*jLBZ=V$2wPPad)H_|(w^MtA1O8J# z!?pgbbFEg5I|>{$O2p>ul~`D_5a-3?-_nhcHA4K;rYq+N-ob8MJhUI1M)WajkB-6? z9oe3-@B{9ZUGf`xg=4MU>o0Q zIsR9kdK@_5rebkKAk5Du&S*Anv=V6?L{+vbjnQ zV_M$bR;{uAcsn)AYrb1+oS;R_H;lJ|Tn)zNS+uo;>2gD()GyG3-h9XWcZkq_R%aS4rgC%Fd-20<~g@vC}VF_3meZXo{ahYw^#+^L^e*2<(s zu)c>D1Z_C3y2hvq+1Z|d$;ci~w*)FMg#kwG9I5I-d&%s%0iz~@gEb{gR2i5r`9|F+cN)YQlsW{#kxlJqT^69^9|o<9sGadG zn3;@BwmVbbIiiOks3^Dc24zyXt=64G>Htau;fhKRf0zFu`MF zWoO@oAG`oi!gEdL?#5w!3q?5YA>Dm`rGCu#AMX91sr(vb>CCI7L*P>TTeZcX;NseY z@i%C>^=SM({e6*S%A5v65nc&9E=+4s5boBXx3?d7LkE-C??5m?yC8xJ?6=O!%lnJD z>%y6PYir#pBO}8UMXOCu5qmx_75C&>MA8A6InH=C#eus!A=#oOHO!X7r`}C5RosqXY&3wMW`dzv|M?7P+Oc>+y z@URM{)I(9RA!7~tx?TAajJ7TAZXAm@GQaX!&Beo29?8>V9shVuxztWfAqj~m;7k?qsqVMf4BRj%{`#;pcd_i)(_pnFopmG6M=o^9n*5>q_B{->OPMe%0tqYFac zSm-`y3=hITp~nC(KiZ?OuTKPLY+`&!11!7~eAp){X`ngQL&;PS$R+&=l`b%rPMkSY z*88Tv#`hTTn9;Jf*47tjJ5lK9c!z3p6Ac8mKXgZ@|KTP-h>vF^z$$PvK<(TGh}RI; zNfP&)979LPLA0Zu!R0$G<;M}ggseXujqCP6DT?9%G9(puh`(UK9jBxbSNHV{I-CC9oBa5jT5Dm^=3d?r=p6vUl-y2cR&A?zdm31tj-7Ik+!i8B;ON-j^ zN7Y^>B_*WsVQ5B+yZm}o75wkr@R1eo(UB7z#Ed~*B`^o=K;#%&nNBfXMol)Y>RE#NhM1uhgpiTEES=>-bcf`Wpd z(IMc$(BV!#1W%uo1QLDp9c~8|2Ul!o!Jb2 zMZ4#DGRHR*huaS=on>VJ#+b=~uD#Q>4Gb!KT{zj< z%@AT@g|3qe#PV*R%RY1Ol3&q_et7y|;<1CE63i4Qe2&OWeELj5`f}T7Ss+L@yKKsb zcU(Pa6#eCt@01lP~cJcUhk8A&JISI)MVA{ka?(F!KEA z{3({aP}KT>t~}R)sAe&rcb)qoWB)fyTnlcflSAXeZ?f|# zMVc3P`1^^~lThhM+&VkDeB!=>S#CO?rj}M67zfT%U3>(F#dOBL78Ql_`ijGBZ1a@O zRo>w9tnw&NJqIk1)eHqWsRKPm832YAU47+p=cU#uhR*wA41d}>$^qdNwTTMSt~2= zMS@RG(>cTb4q7#478W0PoB(PPmOb+$jUz_9%LZ$ANi{45KMJbsQ`q?4NADVTL00b9a&i)2{fIt4!0+t+ zgr8vZ<~9&rEctro?kL7smQeIp1b3fkVnM+rEIJ`#mp5+jE-i#oeSm{8JU^yF#jMS@CVqez_%{Zdq8e`BhoG{ zJA|lSAOYB2?Y=UthwU$dVFz>G`vAM4&DNgQT|%p;Lr}T#)Nl6rZZ0#xHi2LvYI|-F z1UNv&j)eL}sE+vv#p4FS0AY%7=wa#th${XWnAJoj~<*Lj}Tb&VZ6 z4j&*S)AD-36p0rsD#{m+k=4W}Mo#>g!`%;)CAdJ$HbxKcxoOj;lp{lQ7!D-}amtT4 zXfM-mFyhFO4FjgFcydIBsJNAH{=saDON1hu6kjY-iZGzMdV04w19l0Sc(`ZGwBXw! zc?1i=KT047ep$46t88BMmQd#B%gGkQaHfdStGZJNc!?JB!XR?AmzYc?Xd?DX7)${q zb&mcBX9tHJw1qphy}ixy##0JBFS}RH0UF)pUBRVgov~3f@%sg6Gm!!d@(<0^Zf3;A zi#iJyEZF?U3xU{3WJ%%x%*|E8Bj69^`R9=)HWzbAl{rv%i^0^Dkp1?sS+Kb0leQr7 z_}kV*7^>d{mqL*Z95{He24iI@H@FMXyZYe_jnohmsmX4TegzxN+`$VA>!vz!3fvcW zf6dbsBHe*=G_l{gC%Vqw@vrJCca1l#)zH$D&+cM0a78b-CBZU-=FNJo7MOL$Tisxk zn##{=^9!R#6#dL{y!7+4qoUG5<=qjlZpd{?)7x<(Vl*WAUeu4wEPXNIKWeoNZ;*3qAK$nyVT|!xs+q58&T-K9>dfX7k_W zZ-GD?TdJa(J|86Osf%`-Jb7|$^cv=FGb6)$qI^$bVIBT53X`{lbF*-8z>NB2MkBT9Eb(-j~-ean{`L1+c4G!)ViKmHNaTI_PTet z=Nrlvd9`*>C=(5Z$5_m+3=z7O;|`#Bk-AOF5T~q?ii*F$r357&`ynrXS4MhM9=R>N z@>+WO!_$#Rj=Tppi!_Jht{bc|&QN!c17-s)4QedE`Xrox|6Tjftv}o%jvf^`2S}PT zsv^!>$`>?q=fw-l!HMyu#qqVV@n;hfKCl~qU>OaA(r2gT>|Ns&k^T64!6nz^0U7^n z?X5SW-uzvznW9qOQstQMdG15Q%%T^~mD*8y;oWkJMp<(sXQ_pm9e3hOgpT9@vLl{3xm59Ra6>ZE8KS&?%eeb zpQy62;GlZXD?VWyOYt^qci%wC!KT@&{$2yBv%CB#&FP}OQ_X0oqF?9d z3oH!nl(t{hi#GR->-4+1MNfx%wXkvhBRdn1vs*2VrYu_hx?QR3XiGPTBNL5pKXZ>N zstjN+L?1bEwYl%*)wgvY7poSQc3-#fXZp!w9fm8*?0wzPZc*6YXlP_H(D-wX{z#W#%f`Qun%R)(%;5CF=92dp3_%{T)<4_G^B6MX#v1;K7~pz7aL&V(La% zH4hlpK1fmGSklKa^UR=i22b`yt{d=2f_dY>k5_K~?|i3(9N~j9r)YgJ>g!H zUWPvs3*L3U>7|={#RsXzh1l=-wRpO-`rVQq#sA^TCiuzxdMEGbdUX8vQ~VvOJF7(K ziGO>iKp3BZGAW(5d`cz2~;l;B<^m&-3$la^PhKX;=Xy z&F9bG31k$1L$6otvio^n-hNMuaxDxpFzwG7JHg-LAuahaS`|Mt2!P`(gMDMXP;h2Y z{glf$XNBNIeg~vVP9E*m%cRy=L&@&ORypV}{&tZL?_$tARQ985LpNX$8i9dHkzt7Y z_-L2vf^!f)5AZJ$Bp$w?je{QrNcNmr^*Vpq9!IDI6B%1uM`Q-w&NMyg+0ap}Co6yZ z|6KVEcTeNKwR;Ez+uF3ZZx zJCgozY}e;83``G>1hFB89438RYsRepRQ?#@brCBkBd;P<{=;q6FSJE#(>ZhIP=meV z_=%Nz0DBS>aSFOlR(eN+V?Pc&{6C>k4>`xkjg|cwGD$K|XMv0kqbgTj$J*V)+ZnY)jBOQ^&mMUT^%ggPB zpto_O=w0bn`Lti8{+tu~azIs~YEbzDdsKH}j_Z4P7Ko)S;j7>Pr-6QQAzd-ssf0f` zb$#OgXEO&buD<&ESd;^^dZyf0`Up;CQTDCYehq?nUi%j zx3nBcO&xoEYjge17Y(yTV}p*q0$3EQDJmKQoHrtr7tz>dm5WP#2sK_q5aVnpR%5t= zImETFxVUooTmzetd@LnOciB`-;rR^6KA6q4IVRQ%wHiPAM@_qxifv3NW)fEyH_loE|%Gq^@oh;Ce%g=)A)X zen>?FT7eBlIqmqdW3zBUeM864(9qJ<{DW6pB)*=H*bVWWqK*HWXI zhlWM-1UD4p4o#-P{JJfqS_Sxp*R>$&olZ!Y3H@WdVAI^Hnwo}fp6F*Qg-f!L1$>yF z-*CO4YAwAB_Mw39-m}NOg)lW$boEH3_H{b8$MV#jyaG#?o)oUVfKMb>1G@(fH88kQ zq|ZDIGvZ}sYA7!_+4IjbDKits`wiip{9V`HFnq@%BJrx1=NFX_6R({kOD}2UtYUyh z@U=aVHQ@9-$p3UlGb!ZGh=q_`w&q&!M=Ad=B(DBPGnsR6bHQ7 zgVtJP58O^nHXB!~O8RR~}oZc8v(= zkbBCcWYdfpU3fmsuauXdnC`)acmpeDtttef-Sw$PMw<)o5%CZ-ZJSI8JzW(P5KtcV zqq@TnPPl1dVp`a~eZJ6K%UGU~K}nOhxAg@#WO~2c*iZa2V~#~{x0?iMj-J*c{qo@m z@|;%>b8_xr5B`fqcf`Nq=IJRbfn-FSd{poUK%&MEpX6XvhUn9$J4UV9Fq>Pucml&B zMN0Acg%svU34%Q%f!;u0@Whdqxjmp6Togx9NoqoZHVEU9N3s8|T{p2n(VwKe-~6vP z5|8a+DQK2fp7C3vzkerU73s)gC+~`uk{2(OnT1uJ@e}Gi5W~y{`PcFtrIXhdAKJ1# zurqpOraoFDKu0dn`1W;iZS#YI*tg0b+pX;zcMx8t;HUia zXd2c%l)(z?c+Z%v_kR+T@Y|f?eOj4!TFy7gyQZq@Ye->k?z>4dEt*yFT!V0GBZ|uZ za77ShpmAiiN4W78^Ktcf<;Hg4k z+itNIEVaZJp%Sggh%Gab^_S)SrNM%%`NC&^70Q(@-NQK#z=_m{yGhs@Vrs`d?_{YB zmo8Nkq9#(PKo2^t6*-49n--gx$Y8l}-T2nZVA|rveT<^bFJ|?j8rB%AOTw%JGh!hn z_j%PxGE+;H-?nr52tLSjFKfUW_S*OI;DbHSnMnsaxZW61|LiF$6w4vlXj}ERv2|Gj zxV?BWIsVz4f0vO43=fk};T(_LQ!;rWCE-TxZLOGGc7Vp#3%A-Zpy5 z{%B7*AB2ISEx%<%_rP=?*Q2IO_M^D+1q^`Q)iO!SrKzP&r}mGyS~5~u=jF?H0n|zZ zBB@-hO}rPn2$r4l!+j@Dh6{eWJ~pock!DSUz{H6^>F^eg(|{v z&x-V^%(w47W-4 z-Mt%^dsZ2?(!GcQ5?=yFa&q$Kx)m5Ck@K6jE%fY{ozE!MDCRpH5OztR_S@C1E;V-p zdmx4iCn=6hO7*?%IsUA#I4gM0s%Xg|gWv&q$F$t2*TWbK^z*1ban@{T&+LD098Np< zGPRUf=Xq}Kxv%}>b58cI5cvbI77zE>c=t{O(V1J0Hf0ein0Kr8WW|s>52UYjI}h%| z|MX75^Ece}Fu>*3@$EY3*u)>*QKRl)%eY!;l)cEtMnhXW=+Bbt8?IAWw7IYXa*S&g zWZmHtgg0)*u0Ksj>Jn^RjiIISM1mzcFiOdu3AeDw3=UnndUc1P@`D8jL3jM)y}Ebz z6EUPXJaH;ZL;iDhwbPn4T{%u7^{ewHVd33Pp7bSdjoI|+?>v@p&tIz*fB#(=q!=_3 zJ~PXsM&+<+v-_%w?>)Jcywib?J$@NdY-Gz#;N#hfnJ>HI)3VvkKn>P-N(6scA}SV0PVhGqcV#GqT_e(!s93ze(1t;%!rQmNqE# zQc}`;gY94n#s2-DPI6z^+&^9(L?VR|ZnSG@U#2-$*0yiJH!MnQaTurjaBG&oc3smj z$7Z^Ct@y2`Xho;_J2FkxwuT^4O{HqIXTN^4|6^PSACpLaKgpimk8h)ueUpsRR$B=^ zDbeFZiUsiHk&RU0a2NuZ@%~aKb$DCD$Ju$$pGR>{%%{VOm$!Ew(7`J)AL6sD(dO^f%461*LLIk zk&}yNCnO~&pCd+3xeZZ4|>}i+y=y{mw1q|mHUkS!m zONvhn4-1RA31ZfSN*`M>gqhG)hf<>k&p1*wXzA7H5etRRhOQ31|E4J^$x*sR zk+Cr)A%l@)MGnEjAK<1C*mg8c;FTE-GWJFlN6QKahYlJ%_{Q5Aqg;2(IB%eS&x9{fsNe8*=Qy}vF1TRrk zc~mRLmPiOpHV0lldi|QwYb|w6c4_Ux@t9e5;Ou94(OYsk< zrGtlhHanS|^#J+gm{obZNI`~-x^4=(|4yf)$4{O-%E<}p_3Ci(C5H~bQeEqh{k?yF z)BIlh<|yIgESH~o^_#(IoIUi;_#ElmCsl|qVpO2_WG=uD-wbsO(L*KonAc&A@%it03->iauYe{o>CUH^+0>+;{^ z#atF(Bv{eF1IZ1|J!mj&L$IQ)fN@%PZ-T3UX1Yh9Nt@pmxr5!74U zG*;)A^{E9+xZE$L+dGm}yo;I)S2Fmqy4{M6&8SNp7E^*BXlZNTL1p7v<;xC*>hq8} z+I-R>;`hkNNYRvoW@n3oAE+oROAVDDCUFZg*Vfdu+%m_(;Savu%CXeABdrafmQ9_d zKEgLd%0#^_AH%w)-%He{;07{kMoJ|HY5H1OZkdG<0>X@h&jCj(`^ISQ+)x@E-!_VD zxRR7)&p|?b2)Os&Whs|1S9Z0Yqw2>Lsv?7kKVAFltFi+t8Yhk$S4Ijc@uhS+8bfvj z-4r>iqRyQQ^!1g{JJXOlEo3r!l^mK?3jgEB_)v}t@twrA%v8}?hHBh*GEQ{Xm_m3H z&>l76PH}M`&LW8~;FQi79dNh60}3qJ-(c&*9Cvsej_n;VkQ^;;->WU{n#ppcsJ<6| z1}1ltyVz#%V;tP#TmpPiI?Jq{u$d!tbVTV5F@R@4Z_g3)&)`=#L^Gl+0H5uB{95Uw zaS98*h&M0sx(+5)qw=ffL+PnOKvZ;H$|kSEtOAWS zXe-u}YN&hy=X7;Nb0lcbZ5(ic_m)j?E0ZWGVO)z~9TIFmXO;kAM0HkLBBdJT^cppG zk{^RK6e0S98XE(os3SIoMH(1BLsMPd7h>})oLxXbNdHMQNC0`9CdS58Zw(wUU;r#_ z?5fyD3xrwJheJ%XUB!dj zmFG_KDa3P$U~q-13y8bT#bO(qOk2S}aFt8MnE0-027PG^)j`7H|DI=|u0fqrUuS1$ zik>={zdSyX{)7Ke!J1j9M*Wg_F)=QnUwz=Q*cRbX(4}J?Gho$-uht~Vb+%NOV)0=| zcM_gUo{ZPq88)j7m%lZNqOqXwdF0!I;Y2ntA_wLxI8AbdXT# za7w7Kc6=y&w*o-^OMS)6h{(vVb~%q9cNJ4*eGu9z+Y*6ieM}CDbYT~@djd(G#Dn38WB$d7 z7?z0~r1S>NIt>%Mkjc?^WZKrP`c3+aA-zQZ@6y$xHG^%?k+3i&`q^B~3=o)~JWiCm zCGPGfdH>;qSGT_l?{epVUUd;9Yc^y(w;tQc9s(p#5lI%`nKNqKU18_*PGsYI4 zU(^9`C>(icw4wkBzm*HC@#$^W_6s%q5BoJG=}K%Ibq(U$m%I_S=@QEKPoF+5VjQh^ zc9;!(AKX7UICytTipPbe2OJ_okNRcG-_)J;rtta}Px7L7WM9@)@%kp!PTyhp<)s%d z{W1`sDAB`I!CnjDH>}2cU$KRq(dFeWy}{FSAQcr&i-BBa!yjLH96~cA`MQBc;2X~DfRt`8wYZYPj7v(f$W5ULY${ zS*?wIbnG$%fZLX(CSG;)A!n%fPE5wxLd4pt{!45z&;s4~8mb#^*nk{WZ^wlUAo~XR wqB#-Ke6552OJ)04I{Y6iYX29BE}&g%`a