From 9f2d52883e4379c9e27b5c549406a4cbd170129f Mon Sep 17 00:00:00 2001 From: Stepan Fomichev Date: Fri, 20 Oct 2023 14:38:34 -0400 Subject: [PATCH] Initial state preparation demo (#950) **Title:** Initial state preparation for quantum chemistry **Summary:** This demo is explaining the concept of an initial state -- a primer for a quantum algorithm that improves its chances of success specifically for the task of obtaining the ground-state energy of a molecule. It showcases the newly built functionality in PennyLane for importing outputs from sophisticated computational chemistry methods to initialize better initial states. Finally, it shows how the choice of initial state affects the execution of VQE on a simple molecule, demonstrating the importance of initial state for quantum algorithms and that this can of algorithms R&D can be now performed in PennyLane. **Relevant references:** **Possible Drawbacks:** **Related GitHub Issues:** --------- Co-authored-by: soranjh Co-authored-by: soranjh <40344468+soranjh@users.noreply.github.com> Co-authored-by: Alvaro Ballon <91897656+alvaro-at-xanadu@users.noreply.github.com> Co-authored-by: Guillermo Alonso-Linaje <65235481+KetpuntoG@users.noreply.github.com> --- _static/authors/stepan_fomichev.jpg | Bin 0 -> 187269 bytes _static/authors/stepan_fomichev.txt | 5 + ...mbnail_large_initial_state_preparation.png | Bin 0 -> 89980 bytes .../qchem_input_states.png | Bin 0 -> 13796 bytes .../thumbnail_initial_state_preparation.png | Bin 0 -> 23078 bytes ...al_initial_state_preparation.metadata.json | 43 +++ .../tutorial_initial_state_preparation.py | 341 ++++++++++++++++++ demos_quantum-chemistry.rst | 7 + 8 files changed, 396 insertions(+) create mode 100644 _static/authors/stepan_fomichev.jpg create mode 100644 _static/authors/stepan_fomichev.txt create mode 100644 _static/large_demo_thumbnails/thumbnail_large_initial_state_preparation.png create mode 100644 demonstrations/initial_state_preparation/qchem_input_states.png create mode 100644 demonstrations/initial_state_preparation/thumbnail_initial_state_preparation.png create mode 100644 demonstrations/tutorial_initial_state_preparation.metadata.json create mode 100644 demonstrations/tutorial_initial_state_preparation.py diff --git a/_static/authors/stepan_fomichev.jpg b/_static/authors/stepan_fomichev.jpg new file mode 100644 index 0000000000000000000000000000000000000000..eee48b91bb02c5b738af4c0f5347999088ad2886 GIT binary patch literal 187269 zcmeFZby!u;*EqV#LnEbh2#BQ8B^*Lh8tHD3?h+26phzRFfFdAL(j@}Y-Q6MGaEQa< za1VUq`~AM}d!OgM_dfTp-)DIC>{&6h*Q_&Z&FtB;xSqUT1nwxxD#!vT$i#ud0RY!a zB1tkncGdu(tPHRL0DuKx1GoSxvh)B6grN`vXvi`O@()0v1Tb#P09GLi)!*d`l!t%v zAZwv;|6TV73eRns6xq&lxE+B0XWi2+Y5;`9;UQr^03Z^f-a?kJkk>!y9}WDYfqyjc zj|TqHz&{%JKT-oac21Vg-tP2jw$2{T^fH!q9?ov`+>f~)b8$a@%+1ZkEx;?p2LPPy zO#r}h=db(!t`^T@9v%_y$0FQ(^xXU+{K6vqf&hS?h4QZzP8RB4s}u~SEVO@>|FvSl zMy{Cv;GY%CjTZh%|7hSJ4g8~le>Cuq2L6xM0456BpKA!rf8Qk`dh@Sc5~A3D-z7ms z`D<-Kl!E&An&Tn#Pc51v@5ucY;P!q!c|8M216Y`tAWRG_5D0{gjfI0pijRkji$_6B zLP$zONk>aVNli`9#Kl5?pM#N_`k^2z$760jK0Z1YVKE_|CtSRIJU5M?U}IzB;o_0w z0|*R22@Qd*3g9VL_-p>GokDjGTlCI|}~ z2N%guc?Up6K|@1DN5jBCM{Wb51R&`EIuQmj1Ggk5iMko+zAGtDaNH*>Myb+fGL4}F zCSG&55Nw>g_sA(InIEt`WM$*y7Z4N@7Lk4`BP%Dbps4v=OIt@*Pv64Q%G$=(?uEOD zrnuV3h^*J0sr-bTbHyiZI@PDxGsoc$#yH}7lyx3cnz%Bt#`+PYsYt!?ccon76- zBco&E6O&WZOUo;(zt`3`Hn$Fsj!&ScXXh8Nn||H&^RM(j_KOJFFI04NG<48Szfe%U zkrx^fItBwbCb6VC$jp`GK2I^K4nJk-3}(!dml0VKx$%eBJ zg>6Yx-CKiZXYQ*#?znuOat*u)!oXs^P@j**u_WJCziUzipp?TOguNtqk3#psJ*wij zm)KWS)wD>#A^_xFBnY}31sV_7g!V>(RFi$pXIa$M+X@wYZ)i`)A3qa9wh*N;^mEf( z%vF8&zDc8%{-h5w&Toekfyr(s>Oe{~&DVMquXO8Q>q_r~igF5=d0P zq8&+_VPJuPl_WvKw)nnIyK5BCXB(S{F(Yiyn`q;@RHD>N9h4q)Y zu*3oISm49%XvXr9PB+)enamfxMmp^xJ?p*CgbdD)9)oG~4hnM|R~>2ip1%36FV9pv zy6-7GdPFQuExqNBAS3IDNMVRzz5iP7pp_doZm%&@`rebY#_2(Z=7*1=jTcaUytG%Y zBz1tBNEi3O1lhN@AG`O9e|^AOT0J85gm0G|$VI%YKi}0w!K(qGz1|@_qCODttQovMW(N7H(gEWg!Q5xqVN|WVq;&Kq1JY6sO=6oIn_IP5*s`8Hv>@TeuCp&0* zOyZ3n`6Mn@5f!?aePz?2G#i{ZJPQ2F2>J=9%3Y)QIbBA9v6<1B<4yJZi*;}Dt3Kv@ zia+&?Uv%pXJ;L)#I3M@QUv5wRQD8eszeo^LrqDGzzR7skKfSB{GPPBm)+==4VE=qf zD}(2fL2CDEtw27h2XoIuqcmI8oAEUnO4-lEXDJ5G-}!YUySsPopEy3sgZuEOf|0JP0_p^eJoD$|p7;~g4gr62sYKvv_)OV50eVwM>0 z5(V8soG}B~Zw8z|cvxaF`7<{GUG#A{}(u|?Gj%6dM1MxJF29iDElQ}u<3w5*8&;$>#4pC7^P zuU@;6lFav_FuyH6lN@v`GSg1ukJr3fied~yCkLx6iuKycH_ZN@a%{uMEw2$$#63xL& zwHtERKyl5$+x}}{O2@1;EbKlQTkd>9O6ZHv?v2Dz_P3~RtcROc$0t0j473&h!`hUh2p$)DFiBAw%jEc`2O_zYEr zb;7P2WB@$=F=RO)*8+}q{N*@LJmeilOK;}ouLNGYm8*x}vEQod;mf$wS5_r0+eLH` z-?J72Xg1J(Rnk14$4y;Lf2sKUd$z4Li*QGYn6m3}x0Ty&M-~}2B~M{Y&FY5{i^zHl z^n^*x4JJq`|?T+?lv>VZ)v5KHepR00o!VyO;>1Giy{*D)KdW_6kYwR zth%9fC97;&a|8`UX|#w**q&$skN+*>c+SYjYNmpwlcrARo|ydN@MTMJ>s0y7>{%YH7+cMW7{Sl zPCrEPir|*OWObFmjxbcCFNBamI*ao0+oYwQf2WuxL|^%dsf=cjDLgk@o-aRSTGg+v zs!j72%Ad@U9%Is;+ji$j`NgEcuF;OL7^^}uM*f7I+MRC!?4PQe+WoZgwu6ftK16CA zQ>}c3wD9r*sc3=DR*wT z9o=+Fn^Noo43jaj(zv;5e8~ta3yr8}iK356{9O}Sa`s#RlIX1GEBLsFNwevvqSFlH zE0*Y~?cw*ICs&w4CX5qTkBSz#I#HNnNeSI`3=GD!q}iIQ#n9Ht?(%8)XRGwI_Loq5 z6JyLvXw#sa^m#T;Pdr%gTB#tYsC--K$ef?(xm>ei8jrf80_YnASWh4DFuKW(Yj5Sg zD#_=G*S}x=tAwx@c5;?XuJyf}Y|n6&u!RDg+~A!dW`$_OZP4*a6c#T9pX*2o<-UZm zE~i8_;u^P^Ee8m!`J%gYJmy;e97&Wp-jEOXTza)#C;^$%26w7)rsBe-59%Pj^3|8$ z6%b_Fs&D71RO^{Xu7P?K#20nbS|bG82IJn$3;b)qVGy!2rmy-=#FVan#F_4DO$(9x z4r4&B^Ghf6i<%Rubr5k>lN!2)(M$)T%qQV$9rasR(WZL9l}cA&H4eB4wT`W8xdHW2 zL*eA%CQs&XtuKe`VdhJfKB|}B`rxloJhT&*!LJ8hzm`Ml(KF%7+H^!O#lH5|c{qCY zdAtmIstZ*2%w7(*XXL$~tw`wO+mVd@$vtS3Ux-`Jz*un&uqB)YiQ&6z+64Hpmm5e9 zfBsP&7qN(EIv%mv{r&xG35Tnde%tqzypbM{%?J0)e2)RH{Wr0)Okx4-GU&@c5tf@x%hgKn=?C@OF=xh@^SnYy)fUQQrzNk zo0x7iuLL2!%A7=~=Ytgqnsm6@A!9V{5O_8euJCR6rOcu9$(R6Abr85RJ4UKH+;!Pb z{IuK!Jck30{Wk1VV4S?aeXnCvl<>ENZoz}{{AY-A^&gP4Vrt~FqIklsaUn_e8u0DP z;&^iwI*Oy*ElT(+c+%)(ZY_x15*)?PWfkJH_BNu63R8MRayhuDuR-k#&+%vK^jHG_+gCG6EjKL057k8LM%aunQhcf>!SI?g9`AGBy`Qq)hh~|5SuA7) zmQM4xmD01Am8U9wfQeg@3t{tSZfZJQ`w-u;8D0QRdu#$( z1YtDO(Fu5;f_;L*)B=8Pc3jrb9gwJZIK<7ThLoX71lC$(qA~l8<1Ei?1DA2(Z>iz>3pV z_XH1Qo${jjw|-5~S1`QrE!w z48p0UP4|5`8%s>6B9Y_rz=-&&@%I}#y?gK%lAlayKQlo6bfin^53Z(GdjPoVxn_8{ z&A$7+MZ$CS-n+u^p$yhHyt1~yKm)~qBH-7?elYMr2ba60r7mt8hp?~!!Pj^YxsZ{IaSa4t1JHbThNE&h znL)1IN-|D9rQ#e4(#&+m$ivA+1evp3C1ua-Z>2z)&evGN_^~Pw$%}Db!~S&{R-s}I z`&E0Nm8dW*mBx?e3v>^tki))5YW;BK8YoeFXMGJM9q1M|kr217QM*G6nGVUmL{*eO zhN+Vp_$86?8Eo?MSrScv(6t+qKITn7w)ZdmWKyS@*FE+nVEizU4$&a!rhjsA{jMt6nuM@!d>WPItK%uvV?`fjGW)UcQ7^c<2kjb07#8_I2cSl%?#_^r-*Y8A(}gI4Jm_YUcF(Nh zu7NpO@bLQ=k64JNO%xEj<(Zo@Z{44Ms=U{c{P{&mCd|`JqbRA7g>`A>I3qpw(J|kJ zuKQI(l1;ul4oaPk zyWmtmfPVUp7=1g)@J>6_bRWt255!v{YO3?8(PC=aq~FNduTb z%A-nqdnsIYa4IWQW;?S)_59A4#MKbzMBc%bgS~eo)?)XY3BS!`ArkMF=IDvP4#1ge zLX$X0WtgDWJ{6+W7WbVn)AihLRU>D!Vu|OGZJEPnkOOlZJ1>hW4h*QK{xYcMx3% zna<#t!e=|?XU|?f{B=rEywXgmIb+wMR%58_f!QQC7wG|4HOZa+_F`|H-`CFKTbqna z`fiRiTwZR|fV#wDosd+nx>W~6=WF2%ceQ82`K(i`3hE45=qzn z94ECLsRl~hG8P_ZX%MG`;K>l=i^Qd;w#Kq8Ca}z1ya!a5&UGS`NOp;_`qj9nT_a=k zu~pU!UNR5GPvbV;nTw5WkNnm*CC7vaKO$S7XBhu7@lw(^UtA(hN?r9JYe{YugZuM* z_zI`9q}5%)fz_A`vqu9Ia6;7~CV^-nI}9=kbN{A=mJz!76Qlj3;)+u&q{A>YcAbn{mc=%e9drUVs*HrxeBp znS`;}PYrvvdMfqV<9AgTHCr$E;|v`j`TX&dQ+rxTU@qm&PO)vBXQR`?q_n(kVuLbM zAH^yT2jcbQH&6-~LKxVCw^%&{2g^U%$+e1XJzWvdo=k#BUyZ?4H}L(M4DnEcL~!PD zhJ@@zJGtdsR?T*`EnjXgpTiqoLMqX1PC8BsAB*M3S5aq2z|fjB3Nx@r2qb4HOgiJF z3Gx(b<@{8+#q3B~(n1?pGBPSqRu;%S&%u?Slto;e7^>r^?JVeHGAWc`LBc0<#ugTK zoL4&n-y^$tUzz0dG0?WH%zXX9a)20-s1&uXSEuLznJ?DDedyknP*sH(^rY-A84b%f zlLaVzLK(E5#~FLVZ)WeA-(yc=DBc#@*Bi7VOz#@wqN=W|#PkM#OGk{*;(W-3Yje72 zFWH5QgX?$odkCpxpX&$ky)o)H zV~XK!ETl=5Ws8U1I(DQ6O1gss^o&0m#|j)E34|GgzC%lR4qKayr5(aq@gz_-GwgAq z*Oi$qLh7GTekn@~^m~3k)$(zmXy$lEEX|aZAi=_wpE*}fTdOoGZ@fqWD*LB{(~tS~ z#Y5A1$;7TqM<3V{U#%>n z)byiN6&pB6L-!Gk(rT<;;cPwvz-oK!nH~I3IbWkT6f8Bx!O0xZT$tZOR@M^eGz*TH z_f8sZAp2<`)4O@~l-^VKYWXl?Qavx<33HiNeGigxwnuGM5ssG-_jY!hf&;}ZOI#7v zexqq$x>AZTM>`jhQxeKG@JWpZ5B!Ff{u+1{-sUYxROOg;)k?cn+XYu(*^DS%bjF(V zdA(Q6P;U<|kC{`s$I`bL>E7XF=YjU)-1ke1f9}u9BDAktF}!U*H!gmvNmrwZ33q*4 zxO2iuIUm5Hel*?B;kf#_+Zt=bjRQ6~gLRps27%}m_gn>dtBB0I~MlU528JLNcg`?57lq(hq zm%uNtTx7T>Pv&~#FcT9E=mbWNVp>=3f191JlbToU<6a^|7%eDU3w3;H#k=4t4WJA%K%JpWD=?dOK_C4Z*_zmhW+SJ*mi*ka2oC8zCv zC}~X=Vch$>E&zwZqF>r+!7CHgmuwxl0WRq%`)gp$b3BApFfB`nK?D?neID;9s2KhW zrV`^aee(LP?SbKPeBrL-=OW({by?l&N@?tv9APXFu&hIIiqG zif~qzl_Nz4-t19|KJMk@*cF!{7vgALjhF9OlGopnEIzj}9NItm$gXsV`I*mu^L43g z!Xuzv9)E&LvLlzhJf1wy!3cHe2fc|2^1 z%8$QmiF+hC2tqkg-w>zZ#bAMW5UA!RBpyCOL7L7HO?9*i)a&VRLa@VshAVDMTt*!UC?l_OUf7H?;lC zTYb6}Q}0)hAF&E(+qfK$)fwHTz1|{9>fs4ssy#T_Uc7QBV{1bcqy7R3xa!*mX#&Vowgg$W5xHKQ)*+^y(ZrJR2 zxfvjInSG4VDmnBvx`$whQGDI#YMNpyLP3>qfuDVxWuycN*Qeah;HZw)n!~R-UZu^l zKs)B&q|AF;(ZIXhmW8{JHH@6vly&vxYIlK*rt@6fx4#wxser+4%>1&H)? zWf?;lUK=;~!Y_wwz3v*+r$p~_h~)RX!W&^HxNUVpIzFoaan=bUES7Ao2KnwHlnBz` zKDt~f(f_v0{(<{Km)eFJEn|x2JPYrlu+^~RdHA@W)7k+|VkiSL&Bsm^DF zH2mB*XO6#c_Yo^bhE6;+rC1{Nn{e50CE>bPrG0GxV3Nt0tXdr@+#Pt6# zURyJm>2k6O81CI=tj=d)8eyglbzYp4Ryv2UyeZn>b99y`FnimL`SuMtlY2(^!DgRd zapIRr9~-5x?q73vrAQT6n|#Tk)?%ve=jI8fNuPf#*h(Fd#Zt?^%S>hp3WXic$IkSA zFo>m485Md`df7MXcMXWhyqVC^?p6GRdq(6wdiDgGdvT!B;dh}*@vHNjtigoc_PKR1 zNqJW#r4(7Rs39%*%A`9hLufVD2~{}7QM68w&f|E`7PY>IzkXS&FE}*etX%?xyC6RL zrGx9Y>+u6sv~M3G4+1NKWR-~B<3^81#4|Dxb%ri2PM9LW1C84mwkSnTSSSGQM9eY5 zRoPOHDBhBgd;pIZ%J*2Qvvx4p@igJWGDAZ$?jky~NIh9;^stq!3Ce!|5H{{a6E&vg zs4PaPn$f;gY;9T_ncLhYjGRDJ$LpWr{>ai1E6^=qr071X_36xR;OozB;KmnxC^{lO zno)r85yt6X^V&Is^Qp_0ltstHc$5nB6H#riFEW z$-Tx29Ro@e!_Q2jcOD{1ijk`L&P_#IN&&Db`5oG49I@BF`JDAFjw~JfFUu1ldOw?D z-`rPv+VN9CFUk9HOIh$#O%M5Hq5--@YsxyVA6okNOorfn9qo#&L9I~Y)z&VvJ&DoTaW?1CKvid zOHi~+1A!}o@2D$?3dmF);KPz8zS^-tLrr6x)`=-XL;V1IKGgS{D0*}-iU{0|wMwKC zWswq#jVBUf_a=F#Wj@&9=X<=o)vW@MN390>4 z@=|tyr|JV@WeV`usQfQ+J*lfGuXew&Oz!auTUO7+8U#;7^ESg@6!jh9rm|QY-=Udm zqNffWbu`XKOB&!O=E9X~%gA$NdWYU@79rKS)#5~SBq>Zz@dV)Ur6{tB?_a_;NBbdJ z8j=%{AuE#6lIQoneTbvZ&|$HCC(xROm^Nmhq~!N>{xdtC=0vZ~YRP`O4^=)w(DjKe zwzn)1ho9`!C;axGGPrpi5V8dj_|klT0qZ2@*?9I1N~2n{J{b5U&=lK~M0kNt^nHF0 zQRpbOKc%I6;gD5#WYko@SKLIkg#=L#h^6jBh#<8ol-kb={*9EF*y1G!%+8a~=(0+z zT1|7s8qAVf6C#UZG^5Z(4u0HpLLVrc|K00D+{R<>UHAoz(j4W1EO#^g2ha7Gp8HXY zi+AZ^X#1fP^FepMqeZUI9&W-nvC&s;4)zf~S-5IS0xM#&a{Tnk1X!JnmE4qG6ZSky zZ}8z;eP~bim*1Oi9M{r$cZ1Il>BfJ!^9?a3HQZYgU1=4xySj8hD1qCfg9c2qNh9ti zkfIy~Cg=4PyolA4M3mW~qHXS<<7NJ8kX>JbMkg$n5b7!T^3?@gR%bf1lG{Y_fXEjQ zxOev@dBjKzTjt^kU5%cDmbb$g*MA*8w)v9Sw z3-Y~ooDrHc6WTnGM-GE9EZkg0tH3u6uo7zY+1OLM%9A>RE&g1}Vz1cL*2D&?DwUTs!yqX?<2b zrI)_`b<_xx)RL!^m?eiKJNj49&0+dT=kL|Q-gP1F4Jj)L!RO{7-h=bpTjS#i`rA50 z#!r+}iiyQCEG-FtfMh$Jhx4EI7w^~87W%KFMF(caA)wM+qW4xB)INPta??xjlGkir z7ixNv(K4Sas~x+D+Ir#S;uljlCp=KhiWhY56;1g> z9YB8fmY$&<97$#vIS-XoTS}Eh+-khn^&xJBCbm4 zViJrA?P3Kfhr7X}PguC4a0i?=IZW{q`iF&1h2am;+If18YS;qEE%;7S2bUB&K5f_q z+i~4@qUNE~TGg>Rm^Wc;*Dl7giWgMM@8{ti$WuAt=AG^P6=7GWFJq`$iDUPJ6lXot zt}Z#eLiP1MI-4IMn@adp-vZWCo2e8tWEJ*Av`Rqd$BLmXRRWZwQMtx55~c5JqhjU1 zJ*H5gUiJF)$)U%^zWh90D`~BLSbNZ{+R`A;=(C+SVI3i}L}$OqTF%|AZg0zyGkF&A zmIH*LM}C~Ed7*1_$n&TyUQ=41X<1-%HZY@7fXu5fDr%vg>4RDLLlsrfu^5}IQha@` z;<9>|sw|za>wx;MWV;G7~e91L9a&cOaJaMrrW?XQIJIP^2wUdod+D@tbyBPlVu`DlS;mFjSHCyhT|s zCAwe%N<~>*^c?sK`6Zkthdx>b(}xA!<_Y96>l+@ws17;-l83QL?CU1xf# zv_+MPMf0N__kRj4Oddn|*ON};l(FXor`G6x!Smt%YFNcH*=~herEvL~9uFR z8n(xC*i5*Dv2(Vt4AH82+nWjr2KR+liZZ*I-azG#RVz=by zed*;)LL)noxro&6yOnhkJY^{DavSm;#_wThqtF;UWzu8W3+_X#Y?(XeBg1Ai#$N9^4xU-+|{`MO$|$U#aqhF?*w70h8o+nhrS{V3Z12f za4RdJyr%!Yc)Ffv9ltGrP+?>)mbMVGPA{o-cFtGs+k8=JdM z){dVn7$m_lq+zQ0cHYy>Gt&!CiJv!H;SunjFa=hs$x~aRgsLphZt*>$v9BY49o z+d8|@^Kv}~grpRdZw?P46CpKSPiQLkDBlA1R>yKlKxGrvXP9CbB9xk39NaRguE1>4?p=s{y>~PDW;N)Rt<>cvj zL%1p5+@&4dZeYUOx|()AHyl!S9yfJv$bYnH<)&ihX!Tr1_c;>v$HV@ppyuZ6Y^`bK z;pw7k{=x!D!~@g-H^3SBXARH;nt&DH0eAu~H%$RJE`M_)q1$Gp96X%mnEr?iWQ(_fuHcGBGK zZ$QJwUHNZ7+RaJ&Ux1UxzW^n32lu}zDmEToe*-d(4p09Ekb3-A(^3}pHh(JO4=n*2 za#GSrY0z#&(y*kbw{-S2mvCOZ0dJF>o6~>8Njdy?J}EcL=UPr4vWyxIH^1%QNy@>J z{(r)2xI1{<;?;Z{B;1<*;>Yo_vOoqPJvH+%yXnELkZLw+?thJnoAM1W@_r*Wpk!tJ zM>GHBvColX_V{vpFnbU1RI*=uhjzzXfmXQ~#Ee;%}Jtw$ z9~0Wf4f%g0UH^Zf-Rk0x*!Dl|5LE)%P2}~b-e_-1x2M7Xuv^L-5KRl2{UQAg2w*7v zaUpHl3~)mJc_Qx)NRQ!$^cXHk@8O2@8}tAVAb@24)0A#2{+0b3?(eq#qTSyAjp1+n zzZ?hPLxWzef}j`CmpPAocgiy%7az=YJ2( zTNu;b!Op_UUE4wF#}>4*_L?%9 zH?6DQ;*f3Nn|XRT%UL;DxtV!bSt1d@b6=OgoIcJU%r}@Dih`pJJ@WSdcmL5m-5ma7 z>bO<@e`1u~ZT@q5!8CL5cy4C%A6x_$Rt^r&t$aKb+~uDuEB)obu>L~-2Q#*tu!S$|w8i@>czWatOTksq@ruXh1FNlRyQ zD-&sDB)kU@+(Lk55RxAS8FcXqz{A4A!p6cwhF%ci;@}dI5#r$yl97{;kdcs(6XD&a zKW~2k|20R!$Hm1bz`sL4aEFwDfPnNSBOv{w3eo?jfj^=)vVbf!l>2{0ZOkEU73aDY z1-V!DUt%}VkTDE@#cm+~?Z(_7J!? zthH=)RQ{@E#B=3XmgW7I*Ao4)g2S- zXUO=AKLaq3!6wM?82(!k7`TbikrKGxC&54lm5|;@(2R^J;bk&katn!<)+DoV=R0J^ zyb%EOfdAJpQi$w(mNHrb9#+eLi|~Ih0n5Kcxc-k|ij%M@s*2H%{8&z|4~*#6neY1t zbg6c%5=n)I`@j{GrbxcLB(~*UIMDE=GFN0%zNib7q5K&^Uen>+AXC*I#engk%qv67 zwZAcu#6N~bHRP2&qV;{vdi8wjy75AU@A*|T3$f=Y;TvpLiVTm-h>QuyS9QYxOQ?W$MDKn+_WrD&1T;qbUff;-~cp@(j@l%70 zekPHJAD+FM*|<7UYjKW+Kd(5z_IvM>Z~(fDzdLqW3}$*?YVm>Z@ttius<&Jti|@83 zrmG<(eUF}deT8=`n$?^?fsac1N8wDtsGJVGNNEWh=+~y%;J}ObOcDc^P;%{NlJfrnC{r!MCX2 zZq$CTP!PbmaHd^4uouuik;sFDXBIJ7L#3;Lo<#nqO;xX)6f&rXaGT_3%#=N%i0K+w?=cSA zFM;UIwQD&bipU@fGvc_w42S!+tEvAi^1~%qaUpj-(BAk}1^Vm3Y$k1IaceVNe=k%3EOJ`hSk887ui0)nI;p9C)d!JJyU%q$jRZV97Q!b^X`G9 zD8b0$GR@`BHloDw$it4OL)vuXX&V)SJXQR!t{&{Wgr10H`Te|FNNIDqvTEt9sEW9< z=H1lO8_5uuE8X+nchDW58#xlm!N@Y73U~LWq8+jLc#_f%Gf3SW-v52YAGnu3Vv_Fe z!09+%H}U+mr==|#>R_*o)XX!ZVi+MpN}ns==k9{cmJ#C@Gw3(JXoWoXuZG*K9sCCM zBj7KeI|5_iypD!O8k9q`08RrmW@;=`Jz#*d_+tmd(mof*!o|<&ZRh;WG1YUCvAYMk zRQy)8{xJn6hIMk!Hd4+h96LQv>V^Z@TG9ziPs?a8+2IpK_mDroQ>1v<0|UhUT!g`g zAFFm)QI6qZLU2me0|i2_Yv3^M?Zrot<12f6=c{MNul5fUFF!tl!(-slBFk+Qpa=)> zr1u$X*HEcq6zq5PL2*C|&h6$xaox_TeCp8KU7j|}z z+Xyap=@Pp-6t`I5crOhX;PLvb*Td^^mR4BRrC(*&1=avbaC$FG8Tq zR0aRwXDDnxyC`>R*v=l{zIFOYb+b@#*=iAb_xsQ8T~F;5-DZ1RLTD=TjDh|Yzvv;- z~RnE?k(!lj030CBsQ+ttIS#rf_XAhQvv3vRDv-Vu2 zM&pU*Tc9l>&%7*5=gud-*}pVuL~woH?>yt`$%aG*rkav@a+pl*uZ(~CnFF4-pgK*1 z^wuM|J0j_O^jJI zxXcLbNNdC7Y9s?Vj7yM5eSQQUeZao&`D`n%XQ%b#@zEoHWpCKobMmLs6c$qkh64*F zBU+E!&#bgN!gSZT&)cReE(LZ17rd($=JXfzcllN+gE9Ia)h(cIbNDwjc3usf^Y^`@ zF^c?IChyF-_o?WaDa~7t?|zmZAJGn_czIq+i$rgVR{Dh-IL=J(QDv| zoTahaR{v?f;ss5caqx&Y6Zx9w%*Db<(ls!K$UNOSI9eDzFr>ZW3%CXp zzairaWUlV-!+!DmaWOqLFun%zX-rth4Xjd>0zv|IO84(f+8eKhU8dErJhv}})^BRB zKZffg4FF^BQ<>*JT<0B>t;+LBd*JRVVZ(3^YTB20Pj5tCfU)=U=FT71)MiGAIExqd zU7{4$SEr&E5IOTrDk#^RD;A9&@R%bfykhbz`z}{=U#wzcU;NfKeZX%ix5xkDqo2`MEcDJ{_<@#@Dt|kk(G01MYoQzM+J)z z8UMzjfIWCMtKe4k*xEHPjq~x!vHuz<@J~uEF)>{^V)a`orw&wLz8={~A1yCkNQ5Sn zpwWJFZzG+OIrS3;CfpCEQqvvz7v!pXqmowkk;jm&^B_fAh{DuK-xGsysL7*zEh7rN z^7{pcTclR^Ear@*xn1+?dLz9mORC4d?ItzuoR4d6z%mQ7?q2B?AJ~9$11LMpJf)7qt@er* zK9R!SYsFp`UaG1VXDV(Vlr}c)pX8V9Hhz+^??-lRVC%}dIEhErbJTF>rT2JyS=lze z=eV@45i$%c=d=fseho-!DH@sFJ1rUKc=Th!U)3?bWRn_EksAxlhh{&>Z7i}F(H0Hg*e|o~@)kc1X%~yOIa)Yn z&L4F@GEgYFgJ#h`ye$39;9{@fY)7iwwo18-P&^xZ{Q~k~0ruLk>enEx^bDm~ZXi|o z6%?%`L^f=mrFa_NJ5z+mfy$0|A6FVEu}{A!J}tD?iS3X!s8PioDyws(5Wl2?$!^R9 zVH}9Ra|B)N??PtYf!R^UFl(V9LwQ98mJsLTZNzZQt1xwjN1%JT9vmMEN(<^w(C)Wa z@PFB--#WVtD4H=|fAlO5C(Ae5_6i~ z7`#WM>u?QB(AHzAhK-j$IC)zU_3K%5cHNP9y=u<*@isMXf&X~(Ue4{p)Cdp|d%2hRDN z_e5mJXkqDv&Biq_qUqG;o~1d$1G^Hg(laswv@$S5=+>6?_Ds9>I1QF4Fv8ik^mQMK=9XH|tDNqkk z@rsU;J5oI*>)z_i!faTuEr0cChc9)e`t*mYE-I55zpU`&v@y+ZqFt4&+lGT4*K z{)(mXjQuI=7Nl*Iwla3)VltZh%7FD6=z1iDXS;~8*0_9mzbe4ocK-gXzddsL95Z#A zfV7n;2x{Yzd|j22kqr36`3-Da(hHA=&P*ZS%!s>5euaPYf1I;be};p6Ef^cvUU1r+ z9Ou6vo$jwQNOTfdGl|nouj>Ao9JeXZ=(TMGD|mRahj`KBnhG;CM5HE$#)QVjm4=Fh zCOp%Z_t&L?i8|RgrY+Q#S_XWMU*4Repaqeaoq1p{()Q z7$hI29hf|R4Pdp;h&1X{^NK#0js6(YQF&1V)#2#K87RQ$Af{5ya}0aOk!`cdUN_JS zBam`XEez1i6Pu*b{t?t&Vl9(c#(k6?ODV?gP}Pofs{T$VN9i`x0$MOt8Lvj|<5E~L z?onp4wY7VOiu9h-FE;yPYZ8MP-AhhRN3JUtYA%DmF=*23~HG^B>GmxQrVBgjR(0rZTP zjxOK*@pM{|w$@dXkI_S$=Bt+9g~W5ip1CfRX4;>W1-w8^oh%?eBG)31o(9*e$%p=0 z60cv#K;+5j87D;XwFzj}&nZW{m{uX<{rK(0=#&we8#@TMhBx^wn;*f9-+qsb983v& z@zsx11pU&TFxag=YluF%2KL{%gSKtP1H(7R-gA^wC-c8w=WnG6A1Qrr4H1P2^4c6H zBYpML?=UYXZ30hWpDN1zudy@a&1SY-; zgw~zTS?R38Am1Quuon$F(7jOqt=8HZ-SH`#shFZ@{pH08@y}v{{spC((te87lL0T} z*3su1z(4MNJXt82tOEM;qji0R$y*yTXWIQ6v?1e#)d)@x-8r3HE1j)n-PyDbu97*r z37bkNa?+wqe3&+OJ^q^}VfbU%8kj8fLC15py5!oQ?Zi${?xHIar_PcY=N#`G$IM0W zFM7k-yDJ*)Q`?rrXS0Xu&be|M8~Ig}-qRhAMP?dhV7TD)vVmc?rOKK#F&3IvEt26e zec_@O)q9A~HoDEaNm1y6P6-e6=}xMzfmI^u%GZHlg-!3(zRXIuIfKXV@Dl~KyYZBrg3*CK!Ah*jk`nR4Z&R!pmBE(9z1x^+{#*et-bg8 z&OPVkyU)G9Qcv^HRW+uJcfK`y%BV3|5D3VJBE%r?xuz#z$0T2thTy}zCfMfkFsDtr zDD{!ljSH{RBkXKvbhOE@C0Rf=mYw6wAl3IP>cXw{mqb#pPZ~x&f<8~|&1<(ZQv2UK zP2c5G+7{w3Nsd<(@7!W`mG4DXP!;Y@Ibi5`OOCN)5J8VRpjUV_e zi{~c9kj%nM{0&5lO+P?)v#G!7QAi`3s##^`7EEh@fb@YT3U1LHovFi)PWiU4(1}AN ztfM##yr1u@m%5#oxpy0fVtehTyMko(OcNkLhzR9(PPu*iCzWw22$ zsZo&FSXA+ z5%Z>Bd1{W;fG14G=m}bOz&l`lfrG5iyz(NBqrw4lC* z$kH!!l9jCt(o2$TnmafmaBOwb@?`?BeWs6_k^Aag70i}Y`>_t;Nr?1`Y#y|k@SIc< zQ7=1U>?+M$)gQ4aGH^p6>-TV6OXxp$JKI3?`eSu%kUq&b^{JN6)~s17M&^*mSH-)b zoh1!L)KK*(jHJa%@Mh^TmTf@=L`e4sC`Z)3v*zKXMr6cI?e+MO#iAOlpj0^8{;L6$ z!pKKtvq`_N;y5k$#0|a0ggk~HVqU>MOC~9v##mUr&xgrVbKbcQ8NDD&@1MR&9+hnF zyV_~1N|=iK;!lN`VBgoxT$^axgB$=;9ElxE;lTGcm5+$E+?p_+jn{|DO@9dL)k@iN z8TQ0v`@UT7(5s*7O=5j10U(HGdK9O%S%~lC)%RQ@{X^8G&_2Y%T5&dN*s^-XV zsxK{8mjlf?M$JsX!up(W7ico?G49D0fK=5{@Xv}rCYQ-h!@|sc>v9NKB~KIL>IQ7< zW?9Pv>O<+G=z&?31qQoVk9}F5Y@ixpK)gYoJ>I1` zb3d!Yqbe_w7ieX&`GS%WM8;!vA{_Js;NLOj1?%^e1h)9@sLLUZ;Uxf?x2 zN)_R*hm$H}^*+v8+}`>%)Q{qvJWS@QdCQ|_sd`i6Rj##5`&y2zjRtX<$-rb=f1xRC!wU}X{e8^1;A%1M%yfcVVHC(BBaV~u!?*s+>=KQ9l1 z$A&hCUwmM|2>m$Hyl2amuWbSmj_3%Oe$wu9ls7eIm6fhl${g>=DD34!aki=wDLU48 z>!ul_hYfhPb@GVnFdZ@OF&__n5f=-0#diTuQRr2mgt@!P3rIu4SDtLR=1gi-xHj!x zuZmSZxVSga>2+67q}m=?Ik#pqV^xBbh1_Z#Kv7x`~cml z>uIh8CZ`&dXc%MzL7A&Pr@N=V*<~)8d+pmzRDDtpYo5JDt0uugb5^w7v--$|P0x@W z{)zj%%e@5IcyCI4M#qiOWp~dJGP|owZeycsU|@Xm$i6-sQ9T4k5@6r}>v|P4^9w=G zB}z|$<>56cgn>cDtvcSy*+55T-s$fHj>S-Q>qYI^t(*9Tt;L&1gWp_=VpDR}eAIYj zxx)(}#7NHSn%k%7npcHwx|_o;`x;OdV14XrvA}}zy^=O>0`Ts7A49|4$;iZb$D-W9 zv4tV6+Fg{ftRBL}8ogPbap0E)SDcNh9UhLX-Yb!}?JZdPJPA5Dg;h59$21W41bmMNVlSN^K?fm&odTx&4p)|QwFW+}Ucwc6miet*K#2{tWKuJjE z;_$UlOV0F`FPCzFc9Q+fRAGuu0p!EIsEg!?L5)$YC$ak0{p6iLKmiqJqthw}0Zc+K zt5fFUsyD*IjCIHwc3e{T^MF}g&IQG{cP?t9Y)8Vq5w1qV(s+}Wsn)ofx<$n2WtH>R z+NAyai#M>%oZufrOPHJ&Q+tlL9N$>JW3jq*YtYQ(v@ZNYo9O1DwG*jLrqP9O|LhiHsFmw{6e?c*1X_)q*<)-^OGL?nX8)k) zR6nq^B4f1J*#Os?U?p-aZo$cAt>39Xn1#iC(mK7)%G)#1X0?Xsolb^ddW&eB{{VR~ z$b22R;-|Z4dOyDHZet^ayM{SSp;jAyhOZR-K7?pXJ5~Osrlhy<#H?l)f6ds~qXk|y z&IXfjwbg3dD(+}0(6cW#Ycx)t>71GMsH#)2^cEWGoIHJHAv~ymdVXbxm2rW|6=d&*k;A9%Ca;uvYk&jk}d~<@fIltScUR7daHyTYjx0WBtOPXQJn5 zmw*foE(3lRRG=-1>SX$+o;;V+7ZP&9855%cryApt@?0LVf}9qjo}~mhmeY|9p5#fc zI^6d2x_%jzC{KfL6+gV}vA1@qFhRT#_ggt@T1>9e;ruX!zZL_du99N4hT}I~BFPjfi`&#HE<@ZDSvdKM_Ltqt))Sk@PQ6Fd66aW*NJeIX zISI*DsXUbh1?0YM!zRN7M2TKrQ1$}{&_2F8!O4bIriGuvY3-oA;h*#_iQuD+jqzgVhlooTghPB&NOUeG?t zLEl-JAS9W#Bp*~p?)?B|AiT}CnFkFzu2Z3ypL@HU7wXKpW+C1J_K8qO{cMT!+{G4P zrjl{W>{0fmI7l#Dve2pDW)b(WBnT3#}y5ph=A?Eeu?s=Lu_qU{PYPFnKl7?rnr<=UQ z*VH-NxfvD{eiMek>wWI5IWED1D!eg>1aQl#&|Y_qu!{zbw^pK%WgH>K4j0@CnOqM z(nif$;7P1@XwM;uHMM=!BrC94VRK`X>zU{+k^}UGL28Sh`hK=5e5R-2quM?L;@V6; z6Gr2~dkdYud`*jRz$--#*$i^8C9VM6$#!;P{{}gRY%T&eZn_bR#S0VGE*w6v+*5CX zZIcsvv%yZJshkZHR|U@m)L3xGLhs`xlZiWJuQ4+&o)s&Wc({wC> ztruV5VEHU~u+nJKx`Cl*vEsbr!9v=$RdM-FPun$fGU}-Y2})WY#)5?Eg$vi^{)vcW z&ks<_H8HTXG5v?t#}mMA0|e6jX}$5&>;nfR1~LW=tc(CdD@wpv(+v3T1pGPv@eMF1 z1I#D?YY9rgd8as#mL0?jVgmsl#{qMaKT7)3z6%X>4=4!u{8-`(H*<2b<7Z*9ab!09 zX;Z=sv9)G#Gqhu2V`gOm35vMc8A2?fPLxJaz@kZrYQLd{iqhOzh)RP?o>ksX9BO7R z?co4b@la5OcvwRCjHyI~vCswG_}#4Stf5YZly25mHjeymLR5d`&JTS5d6|WZ@(&Rw zOChR1j8`Z%ou)%b85~2dC`==h(c7NympCa}zg7WhJ zwWziAPZa*h*3n5B`p+u=rx`o`v}0mXhC13hJ3yd-IQ2ghOSk}4{IA;a-xEu?Ky94< zPHqhOJFOjH2KEP1#t;^$71SCKa|C$6_IEw){sq{7t0iy)5ajr$;7?cjKh3EB&imiR z|GNDL%YG_i$1m;x1?=Gfvsb7P70}*%OspJC?5wJQ*L+TPel9L1Rvvy<);~q%0R|ZZ z_OX8nv$Ha>u`_W1!o2*P+yFnASb6^`Y-?<8;{HDp{i6zi#h9(F6+rO+NmPJ8>LV}D zFJt5AWM~6{%Dfb!0+eAkH#g?z;O6CoK-dkLAUsfZCQg9LOuSGIVULJNs6Ju`3U&)oBHbC?P zz(!l#%FxkKi0TjfZhoL~sVI#h{3f;z)`kGn%&iSgp)3}5P*W;O;2u9<4sPrWfja#4 zD8B|C#8>7<4u%fyK+pqbpwWIxsX7?i*+GGxL(V&I5!&~H#ZYIGuxlf?0rE1Z2!n zzqE+6Gk^oc#E6vx!pFq~HDWhrV&&uHVdCTCGGgN3;o|`gZZ;Dm9;$yNHvSLI@IQv} z&$9nC|NK8`%|G*T_}?}M%gzv)IsBWZRR2wx#(z@q zFAe?`&cCsy{Qm&^pA_`7F8}g~{Wrxr8UnoktI&TX{jYUH{|@{AwnP0d8v37a&Hyb9 zbl^PyO-ui!mmtf}Cj6VPf-HYN(f`J2!M|I9|F0fS4CrltvflAuS^vV&^gpm(_zxKV zXT9K`HL)`PE5|=7_IH+oEdO04{!ITbBZ!|F{do}>n*b+(Zhwu7fV00wF#k9I|1RX0 z(ESb9Z@7L5fnO5-&92{Y{SpGdB>bCQzv22N1b#{QH@kkr^-Bo+lJIYK{f6t85cnnG z-|YGg*DoRPOTxd|^&75VLg1H#f3xd1T)%|CFA4u<*KfFf34vb{{>`r6aQzYjza;#d zUBBV_B?Nv+_&2+L!}UuD{F3l*cKwFymk{_R;ot1~4c9Lr@JqtK+4UQ)UqaxQgnzT^ zH(bAjz%L2^X4h}HehGnJ68_Du-*EjB0>32un_a)*`XvN@N%%Lr{-4A3&vz?<*L;L% zTxmpv0pH!?Ae7s;e|~`D4)8&}hl+aV4k|j}YWf}~IwmII&KvN|{pbM}_Cst8j0gA+ z9zMp!!^6YGAt1!ZC47X7hx;>=TPQ%9JE-?jQSakoVPN6@^6`iNZj^^8z5n9ByB$OU zyh!@*&ba}{-G4jh{?QJqdH@7(Kmi~1BqDzHoQ9T;o|B84hnJ6E{H27Xl(dYjimIBrhNc!6 z0(gQqH8ZzxbaHlab#wO!cpDfL{O)~7RCG*iTzo=eQdV{jJU1`Dps>86vZ}hKwyyqj zTYCqxv#YyjWOQtNVsdJFW@&k4b!~m)>*m(M;nDHQ>Dl-53!vH*w?HVj{yKoSWq-af z`|o-IUcUhs<#$l-p#9YA)@|3H0uS$?K4H82NK6UM(Ec$MyWc(B7l7~aPxq-gl)vE_ zISixYKjmC{cJNcRKQ#NFDdzwGOS8Wf`=?(2<|zCc>r!e-{!;8>j9eweb$afs!^+^* z^Fb@sgFgDKnVJ#{ry8mVe8EAFNMk%)JJl>wEdC z5S=9PF{g6Rahbe=X*t(?Fuj?=8ed8kJ6*CJX-N4nOjbf{Q_aXq?s3Za)YO4mre3U} zy)-n|B7!YnHN=gxm|b@)W0YgFpLw?_zfAo7a<SnT zC;3m2bWuu|BK;j&L1eYLDJD5GpbQMQ{DN`st->BO54T!1{qn`dsMo@qC#IY+;lVCV$}JziLkbb{Ob%475S;-JOh?}+`x)axG71d%xS53$L%_=C;=6s zVEd4~)9h`z4g9Pn&uDJqtj{43nOE$uiLt$0@~gwwBUkgm22BSN-9rh1xd*Q~+a|I( zj8Z?Z4WBH>!@xNe7io0MO54$*IyIf(*P{Dsf<1ygVh;OBv_}LJ1@Gwu+g>s290ihF zjLRdV?N4&3rW4JMny}R7#%wI^fFDzU-Qo&M*7InEXzB19+oqPoHYPHO^5~PIN;(sT zwzxf%-;NSJ4Uvjk zsIsLQ3CB_Dzh#vF_G~@HP&gK{*+IyO8j^1MJbLHEI_50*iwXwr%p&e!MUahKQ79^R zM9A{Ax4A_9#n^FOh8e6|VqeesV5EaZ5T!WtJY)t4xNOoyV^>14avSA~wQZTU42kfp znI{K-^{Io8)O(AEfGf2tyjs5?sZ$1@r*x$Q@;nYR-(23htZeG%=n*+LeOLG-4COa| ze}0?cC{UxvvXc7Up7G%5^J>rRr#BRw@4MBzum+Z{3b{=BqO9*Y5#i#@m#}r)2*(t2 zm$d!>F_5z@1c;>>hChKtD&8sewQwkiR8!q$bR+kVw!wWkXoSTRXE;T>>=#FEfUk2s zelD8z6w~kZ9`9#jGZU+aZ4WEcx0R7uc(yES^bYqoFRmtd;NI0o;N& zJ#kiBn8uh}2_2eyq`($>IeH5(G!$aig@UTUQ1P9@u3Ch|i-Wq{Z~Y@94iUX&sPbZ? zz#v7e{bR#7 zSMm)&)Cb2*s@h{oC;6%Naj!o31v@HY(!Yyd#65}d7}B!s!*%yBJkL1hbdN#p)iZz} z;TO8cq}gWxWJML|2gBEu&x8DQYBtandDRqIM{G0rA{}>8MqrgVvW29>wL=1NjTg45 z`)YE;>}CXPrn_hp(ZFBPQc_s%n{}Ea7=k8M>0Upzq#0TF)t2DW>q26E#vz9A+1(_& z*Pg1+olo+fHl7sJNd)Ssrl`tMw&vYkfAef!;ft!l=yxi=IWG$mxR$o=+}J~xqR3|a zh!ZOAHqNXu57mZ1mc$MehN}D@pyx&1_f&S(XROq;a&hm+YT0*i5a#yt^jSQ%-+vX= z(_PafTSMYG;hQRzd^2EvZ{$*1aOAqALU3g>M4vCecCTNpp1g9!IW4H%Yh_d6i10L* zssFKac;l$>WV!{sDUj_07f9O@CazSukXy8CAx^?YIhN4BFO|9<61=m!E$Y`WdfQgu zx=_Co2mE1YV3qx*`_ z@WE%CYUU#8BlpNIc`T*aslJC|1q@tK=S?T9FKh6!`erQMluLMNTV@>{WDq<9qxDd! z3E>Hm(7N5WN4HHJUb)EXNi6tDRO^w|?G*g%qu{D13BDKkACI5UD#hfUcar*4B4aLw zo@j~YPdmz+2TGb|MCqngCd|H04pHQ+@o>G3^og-oYwUC8OtZ^ca`@W8CtXNo>*1P4 zhuS+E7X&TTb0&92S!d#W$FJu8oTf_b*(bd>#Bb*Kw&uCs@Y@E-roi66rc?$vdX(wsLHz^})4WYzb*d}^M z*PECd69pxn2MRNuDj4P62^XV+qYGIx3o-7{e7xx=$z!8lOH-qQS#&Qs-;&#(WDmj* zzaC1kj)}AG>-cu`kGP?MQKC*AXg98tcA5uIiYds<5A@7<>|Q00XWH5Cu}MivyqqIG z6hv9Fy^#7$7@cWpo_*zDc~pNWLi2iTX=~G!lKSS3<+0q7pb-UHui*$+nwiT5Ah6#) zVV&nT+3u19+VpCTp0c4iSDSCvST!We{HoG9z!4g|>Y+k_^|?T8D{mpGqs8liHAy+C zGxer)Ul#XN@s4&2p6Lrx;nPo_a67Eq*3UI^%{B213i-C=>5yM)7to&i-pe3*YLy&g z!z<)gpunftoY)FBlKDi$aDu!3x*gu$-*lF&)@OhS4v^8z2BIIp@LlBAaO~# zOyW0uckUP+a=W#6wbqC~^ir9Dk-sFB&T2PJ@W#79_^W`nJ;=^msPI0Cbw{!_$%HfS z;N^>4ZNgp?pH?q{^F|hP0)dIAgKN5Iah9pywK@7TTLI_3< z`A6St8FC)nIxhHbVYeKhjn_^(+8D5@vN1Mtuw{-Ka-&!!(u2oBURihhO&LM-uH5Qa z@=c5ldF3sN=v}~{Q6Ra&G3P#;x7n>MQl&M&E6#mh3b1*?#et|5iPV`q3EG)FxjosY z@Q}9|{fa;AmGZg4n2CYMhA_mqfLfumC@|H4=M-POWQ;UdQB3z=(e_qXY5Ba{JeILIsZd zqL0sGf?kdBon@DLsAEa?KA%e}c-j#Lh7NiJX5+nVi1n(VR{mgz!;qA0voL0?a+~Fu zH=FDewHwmW#Q2H8NN+R3H1H3QLs&q$N@Iu6rYj8mf~e*?$)mHMr0MHowO=^fs0&P1 zGAWzquHU1T8QA9x%ajw&!K%OvX7H?xn$L`ox$qQ@EU2#1L#fh3O{9_ntO)!W=*|ey z^+lMB$- z23cJ=cW+Ll?DL9)NBrjM);&ku6ZVq|)`=C_BldckxL%HW5c?&Z<|n(t*>oyLA1`E? z3vJ<~#hY_tC_Be5z<7kVs@s$q-QfB7_`qYIy8jyWG|$~xRBjyx7To&KeRfTI2!n%u zo=Qfj`p6vToeLj>7P;g5vb%+27(FYHbRhSDiRk`3cid*l1&<*C%p=+(oD#ZawmFr? z%$YY-MGma6Uu|*MC;v6^CbQIN;X7OyD9gvW6FureDSTLZqu;K3k86P6P}aknbsU(1zoS zuRV|?naIY7LqUl2N7fs-2#)cfR=-)L4~SAdk`p_OIya@*D))(*I3p~0BoV9pGSa`M zi7)Bdi@qx&RVuc;P$rauv%x2}?+56!*7H>chmznZxb(_luFS!0TJ77k1MZmY4s@5& z!4;;jsa!70ZLjz;kQzmAycupQ61Gkt=u=mCZCU)$O1X>%+ljq8doN#bfUqZcX+*#l z=21)5{eduhG#`0E`Jhiakdb`vLcZ)TYmRRMN-Ul?LI)IfgIiE7>H;B9G9CMg)anZL zZ)qeB>3I~X(#+GEkO;Safsn4I?@D2d;G)w!Qc`8_f*R)zHZ6S5l_uJ4HRD?9w3aZM znF91v=7U8z^m{ag!P8^PBJ}iKqJ7n>?%2u#BABSm6naC^nUMOxl6&l9b`B= zlHx;{Qh9@}7rKUwrrov zE{f2_frS6Ejj$9tB4D9Nk0-8x_BHoMqlJ|50#HQYo&Yv|T2{+f4k8>fw(!QWUZba# zrrR_-Cq-oXO9PQ^{f+&mkN1SXihORO=sPRLypAe;7XM{GI8OZNI_w2Zf)xD}Kk`so zcsywu8}@BDdjrx$?%QO7=CYj9a8o5&!`Zm+A-L}`IP<-GQ>HR){mrYPOVJZx>Tpsh zrl?>(i$%!<%#cRTZ%$Mt6+L{XyZ5Elz3<;lDkZ0Tm`3l*ocem8#712gM(^q!4?e~5 z5G>o2=MiWQ(nJok*_Wgzm7_w!4qj?N}xKVYhr>k-OBzwRjzWWq@*pyH9 z?p4?VF!$kt^a=%%XkWI#1p+@W?l zn^cd25qAx@MRlqgf$lnBqL3)qLXr11)qVB>!eSptV4G>SK4_bqsbkmpT#goNtA4apiH1{@!RG z!)Ay$)lvRYQ-$(5hE!B`73jsN&DR_?mx%Cj`z-QU+=#I$MkRNgkxWZ}-Xd!pgxFK6 zoDyXeyRl|Z2wbEGcTH?l)FDjWq(GI6Pt`-UyE>sxvXiJ_C75jUV63q6Ts+1CDMYs{ zI98aITIr$k(ILV+MJ2HIxafAgGn-}!QwK{Fs(h_0Z_fN4Eq%M5^l^4ifme@Ygfhm% zb0Zk7%2khf%xiq&;lSJ-G`PqBc}y7VN{G=A%!Ge$lAgohf4vb}81P)Ze;$x)5hB2iA1*rWvti&cKdb#=6IcXq~Kx#eIE&G#v zN9i2+(C`9|*ei4H6P1up(d`d?z6GB{F8gq97s!+_R6nwh;t1WKo+yiTew@W=N}Ut6 z#p|<^IM^h55!cZxOi;}bU3-96`MAKe6}db9-g{+RPC*kX+BLW9rxVqYoyDs$cC5c^ z7>f2<`b$!g`||TLN%lslMjHQQqDWXq677&4vZM}rI2*T;Q7o^G{J`JmB0SG+(sE3Ou#JE*5mEK%VWOJdiPFF5A=Etw|Dp^NbN&g9#9x8|O4BQ4_v&83%+ zOs@R;i2w^Do}{QfN~1dw1R_C>%4Lrs7mbR#Z+BF)F2@_C&hTGOL7J7^YjaUmWsHd6jj3bxPlo!UX8-sVKJnkf&)OUUBK5K)1 zG}C_ozRMeya4J;Pb0YExtUY72KnIWEofpirnY;FwOyAO{xC?W(w>7o3FP?9oVnT;8 z;+*+)h*zPA$xwfzbx5= z;B+N05yBr3g+4@HCLDdDCXel(vjn?TF4)DbC@)6z6AF+Bxo^rPxs2gb!raH2+1y-a zT;K0~Ai7;WZWXYvj_`Q~KZc!3FGaBpzh9Y6I&biXr-Vj=1+5ARjf1+#>JQYI8|B?0 zB)~LAl2OK%^>%9o#Gh^Z7*6n9EyG*Rbh)TsmLhJZKYTY24UKF|sRZ2S1beDfEbY>0 z(ON;Chn8|j3<$<6py+34b=szl05Uf>EE?d zTy8XJ!8&Cafxu>4PTa<$|PYg##cL@*G&&>X4jqB1_Jq*)q4u$ zemK+Cj<-J(vzTEb-AnSMaP6#T4SxzDsYb6+s4Y-730gLjGo^M|Z`5A$?UXop8-GJF zE~n zi4C-PdgnCXSx$xNLxEll8vT}6!?%I?W8cT$vqr>^FrqY2$~N^$ZieyY%nyom)0rhsFaYQ!JAUN!BxE49zZjipAZu@cQQ?ojw=mrcNbF&-4(uby^ zR3g|(_V|ts8bXeofJBnOR?!3Gn$Sb|7PIa0bFO~eD_A1iVn%+P4En>+J$D(CFtuI)+$yf;ruo2bUjP->WzD*D#wF9(XAKZ#|(4^OJ{7$`KaiJ!mTck1VYyf z^{J}Ug_nXzO$D8gixkKFJM1?nG8*5@H)gaX9zH(2relqZ6Oj`!PJFwF(a4VWZ94zr zNN?j=?FMX_>u7RE#35e)exoqFrqaF~|AKG1IU0xn%iC{|_D<8&lT%r9@Ric4r&?2w zfbt$$pjy9dvrH$-QO3)K#aQr>Q2qifMufZd?zzfaE}8_-<@i4Gm^TJNz;eOyK6||L zlOxPa_KT70MDyAF`B!{zURE}PFO-29j!gz%;Ne7k4_JQT*yb!lgKRB7=ktY%oacy5 z2D3Ei7``%+H6Ow=M5P0h<=9oS&F(wPz}!zBNiFNwdw?Tr7wVyct^QhbA?;(dh6|4D z>%7qrNSP|Q+QPYlw;dD)$E1WYp3GFv!aaFC>(~9K<{Kxd@ z*y*13iyj(9u(wjW!Wml@`jw6f5cbuv-F5b>czQByBSkXKN&a#$k5|n`?$62kHQa-3 zs+27Qw$;F^1qF3FT|?&eN7Bqf+gv3)juU=-#~sp+)Vekz#ECXia0ugiu@tr1qqV6C znI?K@EmtgQm`YKNMNzb)j188+F3m&*Ud~A#*7%FD;Y+E4>|Lped~1m4`vM&<=H%iF zrBlD~DwS?qu;R1)S_|;cp^zoaql9S?!7|;?Iu=>tz74FB@6ZVkNKly4G}BTr;8fQ5 z(6yM+An0ls!X4#S(b0O4?i*FCbL8g*VJ&%_jO1e-MihJvDvgsJuP8e$T%%PC$~5{s zctjB3Lt6ahRR0d^eNj`P!o}!ag+rmQ6m)Xta8--iCnvz*=&mo2o$AzeT^=K257CX% zzGP;B_NL3SR;tl!_kQ=h&}M#fuujm-^vIq%skN2$r(!7AV@;*?sbjgs%&M@&WCNur zMPG~lc)fCy&_vh0JFsu14-cd|! z?^CO0!*|Bf9}jV=+=Jf<3tL>2=RfZHJ zmJ8-%OnA~+x2xw~cr)gqRhxt#R=l?Ou4FvG@1);L+DoEHu6haTo?1(~cgt~Tysq+c z*Yr`2@XJ??MLhjUzG@-g6TBhi!eIvlyH>-x3Lif+KZ^)-M$$qU(nt(Vvtqs_Q$x^hr0Lo^`>P69Ht|j^eDe0vfP*l7BDo&L#`s* z?tyl%80gePEB(2Ywgw<#-_gs?qujE=Y3oElbW}shdyi+S>ZhE5XfxlH#mJKlQDQ02 z`+H62k`5LhdFeJzvgEkEjr-={r@4Y~BuIN+4_mWLe2SiZX5}_uNv>y_pSaK8*}i-_ zB6cUTh~dF(&lZEPmi~iLQ7NI=a$acD`mRttmm1VueENwYcL*vkJ z)~4y^JOnhAdt0;Ku6$4Za%H4==DY2yQBA?4m(pKo*P5%!-@2M8NOHI(Yd23j7+ngo zd6fkWiyh;3HHsA>g$Ip$nnL@6VZI2bM?y{QA=OJ8){97f&s*vmGI2}q<2IRAZ1@fQ zRCgFEB7?|`mer%SwhWITXQo7X9hnQS+S}tF^YLoTIn|r3^I4k}xw~CHwXR$K1c`aLJAE9Zyt;dxYkg^O2|omBDcl`{vtt($8^jCWna&crya}W^eaY?J33A* zW}I8p+gFWQ#7&a&;%EJGs?|d@L3suV%fW zOiu8Kw0-)^8}IGFnuFN>&}hktUO}rLAY_Z{Lb3cZf?4Ng-#Ev#Pw3Wh)<_+XRD;aY zHV%R2v|BhZ9xHQ8V>PM|B(zF1dqdLnftl~L)b6{~0UL8h+5j}sgd8l_R5AI+Q6Jx2 zn5uSE$(GUdQWoi2PS?e?DU5$GYKdQSrd}g5eb#OBvdpDxmEv=C*k}cn?AOcF1^I@y z=g&TX0{3b!k?(cf8KwBh8YVHmogp8%HMBM39XygA5i6MS4&SU8f!?|8lS91a%#dkS zUHx^+B}S6abE1>2vfNt2g%DM=i1CsHqX(~_8rh&u-9^E&shXXbS>xd2*KKsQ&z*1Z7H_@=3L(tNcHoNz)Tq-9>*E6-TiYKX-P`0( zuTT5;iKt1UVqJI7-&48@r&T5=r>TBfy|pjP=HC$Rfo>3}1+t+|+{?%1A#(V$rwr;i;Pi3%=VBI>1;%s~SKB4i&>Ll_9=p$*CBI>!Z zBiSr$GU@WUreEZ{&7`+YV~&P51Y0lkU>tZf(Na-pU{e{21V!BBFwKVumN+`idweFI0!hiedDi-1#yg~GW68wDkuuc@cvsnSYgO{!l{aSIP-+gCFK89eX572V zGCNGJl1ou)0G8km6}^`(-njxXetBGh9DTv#C8d+*GIFdMwt^ zbeonv&W2xU6@Oo2Vhq^hI4yuq^;zni<)=-KP1My4T7)6!W!EH0w2qXxBKA9MgmM?` zmAGmP$Ra(W#}+&kJr%-?UN3)u-r6kd zvQOR!r?Ifh2;9==a6?{TnXK&c7zBNSEIMMx4l2Vd`8QP*7b25a(q{zPe}EpGFi9|y zWsbyghYP(4@|g=CUvpKDca*}Ivmkg-GS_X-uwg2MXIU|7Lp8h_vinxOtbit?`_7?s ziCiZ*H!){kif1Npx7aU9gkfDLx|J$ZAQfB2%D(yOn6*)2<{QO=SHipPJJMGT8czy@ zP8RknUsWq@T!Zr|0?pmMNEVJ@;h zmOe)xif^H5Pm?sQ{1b<4uCJ0^u@mryfxs&FPk2vwGouwFbM_CHcy}zDz74+JadPX= zQMxX_?mCa~E#fP6`PLF7QEcDqDZm%YZUpRzSM@7bd>C3t6}AcXb2I%C-co4sjA<8$ zETU~k6Z(x|R*>hCa~iz($=la!1kXV4nGWVf(*8i@x7l;6 zQH$*+R?rHhZgnVBG|0984jlfm{7F2t!ddd0zPRKQ;tTU5D?@1!Ju)LX$_QDuzT zOUX4~AxpC}D)>3;r7C)mys{P#SNlPw>>_<$4-nQi%sr<0X_6^r7tcmg(epf-#JD&u zT~FHODkb*1?MH6q3|>;^96^q~Jbewm=)H9Zv9V3Sur++?Ahd#;A-JY|jD?LH*e8B6 znBXQj5tqJHL>uzq{elS^jjLqQ+AHPQu;>FSsm^JmC}!@`$f>cY=ZK=hs?kQV=A&0r zBC*z5T!<(!)G9BQ>eA;-1=F)$?G%OZCPwNuB-7zPunS>($qL z%;ManHNJ4JQpFiya>;2US-i0_dvsy)x2l+?$Zb6nlkp+LBB(h%y4JEABvOSn){IF2K zojWQ`P7)U-LE_DOk{yG1B=G)9o~&^o>#@!DfcW10Zc?`QG7CS`NGBnQ-z^I2Z5__Z zG@a0=E{3prd6jy7wpS56^Q)Ph4pi<9WX3b!+!HutBJ3wa%JR0@0tm@a>(*wR)6#Z6nbaY?=6=@;`6Rd+v|c~|T+0SgsU->4Vmb3~IvugNh|BS| zzhu9X1$rMfXBIU5_Oc%5ccztEj&EJ5J#O^-G{zz|Nzxy=W7NXSjuaFe9A}!JeVbdH zeJHlfc3Z00_p`(u2dZNdR#CJ$6n#fGSvWSY>Kr`kXhj>Q>Ec-Ud0;0ebd)%bCRNRzrcgOBymB;_({AEYIEeG>`H58)~>v!Hw8cm8&=~C>Yn8izmi& zcy)+9t_NYO8Ub!?mS09r2NNzPUF8-Ogj*T26Z%?~ zL;_ctur7lFEKB!hk50`|9*;ic7CL^swIE9q9oT;_C^9>zuY zX2*uCE?SZ2#_#H#V7Ce=7ehF;!dF`?;Fn6fN>;cDS$(LMdAt2=CB`;WnYEk~oLYg? znDLKX3U@gJ5L$*w=CC1?a8)K*q$y`&WJ^eKg5sI^Hu{;$xsm}xY2w`IX_=5k&*%Ag zn1@~94^YD^^k!{fLm0zjJQL#w$R$TpzjpZpX5q)^g~F|wEHf7e9qtJ;q{~J$c%2}e zz~ytv1XTFsi$1aNGhk0r$kf{jk75rw8!k(J>CJ#1wZ;QiOq@>5_%d$#Vr`+ywWmJcdk=qsvTP?fiPK79$(dBwtXLo942)?PaX{)X9+$Q z+4-)!N6;4nXFjKtL(1q7!(eg;50k`tu%c)P1Qe4x-HqY4$9LI?dwIGkT_yZBK zg@@GY*Bf}9mg$e3!kA^UM~y5K6=k4!YsA6tS)AX0kg;3iH?~(D>zTUVpg`CHOMwX; zgJq+Z!aQSFV%(c08Yc5u_+7WlA03*Ks0fmJz}mRvA?{DrUYgppr%Xy^eW!Uno*=zu zok8JNL#m$ivcHaldcb7vne_nQOdhXL1(?_*xB!SGyug^1Cim^G_cmOYLSh(#I?l|D zyVel!TFmF^14PFxQkNev? zVe7S{tmZW4q^cA%FmC+E>n%#@;AUmpp&gS+$*F_2uEqAc)?Du9NzBJqh6FGsr8=_n z5>Lf&Usmdm7?trf3-wHb)8;NkPrsIY?gQcC zHg1U!9^n0;x7h3YL?GUE{;CK?_j|OnQ;TWEduznF%kAK}(?Phyp+&Tw^qsCQ`zt1i zgdOL}XsNZ`aBa6slyyIy>*FX%I}@$@D`%!$Az$V8P#jA0^QgKhP-W0vqGu{=?0HtT zqSthKpL|-eq34T)D8{K{dKjoID^YW>()YHiEM!OVe2F#C9`Sc(km8V!SWWSLSi~J{ zHRW}DP2Xsrm@ELxWm8{zOV<<7vhX3&gq<+t74{CZeGM1OJaT=G2NDtlweAu7G$5}T z#HW1+7LziH;(>2cA4GVD)#~o&v63qS-f1S<`YI@s>s^p&wIkk{y&jd;iC0gx z=e2bRb}_Ku z+-}W7;fu}Fi@?DRz5X0`VVB&*AE5YZM>R6cjeRR8^kfKX_?(NNs&(>*7Bw-^*sA-y zBoNYcFV%0K3+|)v4eEolAI5FD@))YyX}}+TR#p9gp@On*8`gj78?x{yI(L(Z3_$%c4En`{-MFm>bwnuXYHXvnd^s?r; zJrNGmz0sF%4S*H8Cl`;})~@I!&RuS|qVhid0g^R%-G`ReY{=Nk7H+qg?FwB7|h;+9AYHA0CM;DU^Dpjsam5 zE>AB=T&of?v=}*zaUz1>69VDtY?r03iWn;54|w{-X5e|#&3P!;dQD;)$KXr z2-4yD2;@0B?IA%G^OpP=cAsFR+#2GEh0VT&VNa*EEO#D)vwK%&9Y+==rVpNH6zwNQ zSy`EgYZ8GWiyzp*yd>H_V@@ZNlS`SavdJAH`g~M^KLiBD%|qa}%DUnva9VS|6?9bY zJkF2H!4mDRg|FZdBuXWUmPoV7PIXAE8^PG$)OO>#6mrmj8~c;|#<)Nb#s38nLGHc| zTc&A|LRG%)Z2g&9lv^m~s=_N<#yC00wOx&AqA;}ZcG4K~+iDpao_=a$EdW!Ii&S1u zuX@lCulH%DJkzj@_O+wzrnELv?WBOA_CrV5&#h?UkbzV(irMi>Y=Nu0eJOELJCr`c zw0(s;)%s1eg>skndU{fe1zNebjkLy9`x^RE{gpwhJ88RVfe+c~7A$qCw(~~Q+LHmE zSf?yOv5I%iRdtO;G<_oG@RNwf?ZdaVOLoto%w5TPph16bzF20NHUj%$# z@uXK8g~7a#&hj>VoRAB8iuI3+9}ybz_V8P~H21Q3o5{gg{VTw&{5uA%;+vc8PEm1b z8QiGPkOn#fTr!t4ZJwlK$qOENd1rU6ME6(I3tcuJnH5em?NtQ-0BpLB&cVLT9HR$# z#s{r;QTTfA#{M9kt!(6vOSd~=i5DJb4}A6>)$1M(_#viSAMI^#X(%!vUWx2|aZ~LQ zMrxhez!j*VQY!ofXaBm?Oe^zj<0+_riry{h}Gp>q!G8y2V;uh;GWmRmNDvAgUq{>lMHOz zn+Lx&#p)g)ZxHKmHR`)23XR#|j)Om)YN@57CDeB|wQqA&KL*jCpwGMkKa9YgZ-E z$z02{v1M`QL%EM9jy3VLPvSKzx7bV-hX8420VVRa6+`+enQaSdnD_8Lp*Qe%} z_eg$N#{hkOYZl_~bd11mVsrBnarE@6jC+$QTVtS`T9u=AM%b)#$*gI$10#RCTGN&>zl27-Rro1{^hgPM-qdc#)b;SZyniKb0W(9}=$dwoxD64eR)I zq1L$mu6*fd;JM~l_Jv~X7n8IOYg*U9viXl0jpic-y))}yL0fz&w}cULo^`^F@T_a{ zmg&!>Y-xTEwY;^=@tal$W>tA49)AN+>lU!*&2xALXOE(x$-^=ID<}RD38KMtCm}^#|SM$EhTF6EMQY-A6SlTIx3)51{-P zbw7mkc`U`F8-@onKUQpY{#Ds{Q^Kzd4RLcYk>)#`dz$C`Gp?=Fc2B8+a91p^v=5jN zGsg$=uKpXy7BM7Y)H&S4wtkh;jy6vvoH51%0J!OcQpXy}8u7sERU?`=W|Pi1UUr(d z49d`>r^*=SsDfsVRY2Q{LIo$8>r1&!1F`ep?LB5Bu<-rR>kg|Lf51r<jggbyzodqfre|?KWZzav+&NHAsF)Y7|37mb6#uvMlrtl5#m=P8?6JV^f(5bc9G{v ze--w(=ze^xf=!?fNDrUGtt&ZTqYH|yZzFx02}kh67jM&wpCOlXCmp^0>wbvp)L9ee zC4!zuBhrNjaSCvm>qgDE%VamrpGt7cD(7p;&}f6bb8Pt$|*T5&MBz5R8nyKlb(dr21{jF1aZLc)}Mf+k5iwU`cotoPR-4Y z+0N0@q~*S5z#f#%*=(@@0f9ouj7H;?&-9>2&>yg^=acbcQ$jvzAWpu6{{YutruK|J z%NYl?eolVL+M{WI9c*JSvJ04qBiE&VtJ_Wz#tw6p99A0{(6nVgGe>L32mUqs*+v)D(XeAKFR%>SE?bpP5IQS!Y&CkNZ_9 z4rFY3)OnSQ{i-RAtSZwEV{xX%G|Vdm>l>-9tDnMKl znbCcqHz4Ma&s@>eB+nWADL&sTe|ng6Go&{nm~N|_YpFllruovhaz3=sIXm~2Q*WTDK^q5Kq+xcMFDW6G-uw7`_KWJT1@&;%>XSFQAj~W z6ugeq#v^iRLeqkl=rd08nDi6~iw2h!CzAe@c`xZe5mN1`JeKSz@?X+`8H!D{CzAe@ zzDxR08j+EjO|>b7`wA8pJ*fd6+HNYx+1t{TTC;YhI~DfPwygb)seZ=P?ge^g-^Q-} zji?qzkgQV3{_P>b?OH!!qwF+XEN1gZHKq13OZGuU(ClXIKi#8gtv|AgU$Y8V3mJY} zQRTgA{hdWGmb4F)%JN>6TeWF=dp$8Q*1NO16z!8$jtr zJFu}s>}Hf$=dE6#k?Tdm#UWxTe!?o=;Y?@1J!rUCg>47pUIY6`c=8KaV9_lu+7kos zyLCKmBc*z`#UC3-;4cc@UrfWyZ{5R_jFLM375U%sbHnr^4$@V9T@h=;ENY`&Q%ee*GLT*%+}J!{H5LE}Z!+1N_5Tsh|l zJ5Q}~H(Ip!Oi6Z-_Bf{sDLb&0ODzuG&sw&=mPzlXX|6NBVQv^zi+iZ%z5795BGwi2 z9yB~3YV)XNX1YlonMvTPj%%oGF8*6Kxs2k`h6?m7bKbUaQ8DIn)J_+WlgR$%F!S)&7L+6D`LmNuYGY0Zu{fG+y+1&jcom&N$}KawzkWAd5o6pwwBuz zyR(w9@Qu~Z$**N-<8Ha^D)r6gouH#zSp}K<$aPRpSslqn@AjEuf0@}nYm+@rfo71 zF~w`jtV@$*-ebx06NRTI?-*l`dX0eNx{pfH)AY%1n1H$4*mk1psFG}Um!`erg$x4c zl54;4e}iS!qzM|8j2s8YG93Q^Do+P^RrQTYE#umXa9N1pFMQX&cvnNV)2;Io?h4x@ zW*mX)E0(QGXpcsfE~T#t_!`pA-9d>}Ml#>hyNh^5x(ALmSb8VR-l$ru?L`~_Fh}>j z>s}WkFgE2E<2**D#UeztVx=F(fGV%>Y97?7&0|0Vy-mb0@ zKyFkV?p_TeWfX~FfmiP??493^p|`b9GGf2-(~Y?MnB(>9SG57ESvCT9 zh3VHF>14BJU9qrS4cO=nUT8-Ls;cMPHC*tjxyZ)s)Ra+{DC9+XV+!AMjz1c$aihRl zF-?a_ru|5 z2I!J0BHCChpbQ(=HR>BoYB1gU(IDOlV5D#kM`C%cVa)Z2U2SVN<~cL-MW0h%siSM6>SfcVoqpEK zkl(`~?TYw&!JijpXi^!0VrSjhaa=q-c%{51a6= zq;WRU(S50Zy+Ylm_p@C3w9TCNsUle&usAhVV&-Ru{@2=)$KeYU10dd`mh>6TasL1v zBw4>_-F3HQHl30G0DNY;Z`!)e?mQEBHa~X@ZePISxQ`sGYTpBItzC=n(#Z-t{GPRO zib_Wlca=!@KR@jM0C#T*UY=eJTVIuwjz_1ZQ?plVH3t}M^!7D%KzAxwEA{%-t&XVd z5`F9gxE{2)+l5oKuQY;BGdo7mC_vnv38ql;#2lZP2B_q#UoFf&NsyHM*NDt8w3pbp>Q9FoEDt3lXz9(MZ-9xL@j zNxz!&MYors+68`5{10huzBG7cneo0;?ZH!DtR5AJKZhU;x#OCctFG|#RgCfGo~JZq8y(s?R-RiY_2ngFf#b^22IVyEj#w0ckm zm)VUw?De2A=|RV(Manb2&U*?`Xlp=Y(wBkSmCCU|S)TNLlCGa>Z!}zdrBP}rMX3BL z&opo;3zUQGqtcV?m1lAGqj8{iAQqyWEk4XW@l4(6%^`1I zDO@xp%^9fo4_ZybvCS79kuM&!oO;wO{AuB0ik1X^`+lceD&^WKG43j28FLOlW?l0aqGn~u9bVx7e&p>NMs9CjpF*$ zX7znV0_H{k05nnNiqHFM`ihOU2>Z1GbZU8vP4fq8%l^`ge-$w5k^caCfaW#4&s<`f z(=IC=wNxGIGpk4IKyw>@Zte$KYg{JRcac$XyOG8#7yDceK+SMJ9XwrsqxcU|w9_0W zr*UrHU#w%EO+=++R6XZo=6~8V;^X{J@kH8Ak2J*H(6z$+on&wa!I!AdJ4%{=RPoa`ua_3`pKK^5v*$&n139Ht#~(yudWoLvof>w z>G@{6y+Y1?Pg6I#gx@Jfkf1-so(*%e>2ckEq)Qo_2$8 z0i5y8K20_4@pT@OqwS~3QXXA6oz=C>;e7!>E z-1>&2Z*Mia++ris9DkEo6G`N563EQMk@HqQp{mbyAl2@0zH=bq6Q0 zcH>tk3lPZfyPBl;O}Lk0LEv*x`DPU@o!K=Mjpeb)-RW1#jK&iG0Cy!+a-dMXvNC;X z44=i;fgvXVVuFU11&%u6rH(c`an_u%?_fa1XxiHDVS)1=1!m=9)NV(o*%_o&3zuVn zE3(sc0}7(`a@$|AYO$i|ap~6UCBkpMlY~+HAos58!MY0ST88ETLu@k7{p0Ce@{!w4 z33NK|2Y7Wf9WY^$Zf6}a*w=jwY9We0zqN21r$Rbb6h%_v0rHhhV~(P?wB_CBXYMCH z7=vsH#RVYfXUzRsuxzKH3Y8JZ<}c9F zTP6+2#4Z5&i8WqJW973G*X9DUdK<@M9pYlx1mmY#757T2c^SqlPs<)=;yMnMn=<)Q zZ#;b26s}WOEyks#5`YY2<#os2{{T3zpT0bJAMCgB-9ah0w~@;$ZO@iZZ^pg)-eM$f zFoli>zpY?=L(x}U@RiDux>(n8@sdd7S7kXKRcIsR&ky*b<4>GekYCLI094F=}lVb}1@eD!^&%X5Eq45t^Y!dR6DR#V8Xm%)A{j(H7( z?(>*#gfZuE>J4>yo@Bhw(0|$Q;y3&x7Z;uxyS-WDfkd`axxsH#_ciSe50@gk9H{wR zfOv08{NnI0j4pINdevcLZ+{%3=GI-Q9E$6Mx;W}a#-rQ$U=TRQYIqeJ<^vTXx0whh`?wzT=u~a#S|gnCPuhD=6MQz+ zw)2ScKQL>|tfLy2!jwfEOQka8`fWL{Y5k!s%>Mul^_(t9fQ)`M<6Z~F*TSnn+@I{} z0Q`>?bk*FBU-^ACqBPS&1kNok#dpXk+r$SdYk7;zV43vxEJA zN}WmEyH7oNr5B;JJ`^~&%oSAe-}%#-aKi+Tr%GsMT*i3snoP4c%;9O86R+Mo4i82? zwEh*CkV$S>)N!y(C|{PGzuxK(QA|vi&fUKQXzxzngVgY+Z?{T}0iR>ql>Y#$IXDb) zK_t7CRQX^8&M`>J8Mch>V}cK*0l#=aL4tTaJ5cQVSwI3-AchC0Gz{MOWjTl9&xU0k z7U)Jkoe%S`*AE7;lR-{+z$5an$WH{!A^3&isZf0X0BuD-i(|jh36V)T}8e18BB+G@fQFJ+8$!?Ln&}YokcXNYYgmx*pV~ z=z7pAqUV`NWgv=58^XX`9}&zTThSrkzSP<8>i(BTLTrr29dv z-|a}hz0cO7ZCMxis24G@_Jd9r1B%4{*iY}%TUs56{OAs2p!-Op?L*eNv#nDZ?z9vZ`zmMxudMNps3qgkn|J_oa#l;>J2a2z3Y!{$2H zy!WOX!Q6`Ef3&AP0mU(|=WkI(iRWixZ&%b)4f6Lj$cw4lrfCeTkK)BJ z>Pg-Bu2X#N)S6wgw{uIBIhoWpsTz##%|>;E^{#DUm5)sWxwsFK9t7R8NF&HvIDhA_A%>A zltWuqldu%V)h6`3pAh zV=@JccP5o=JxQ%^EAgfB*SN(1P=?hL=5M;AaVEZJ{iJ>^T@7UN#ZWBn zbGU$Vxvo3Kz9ENCwvyH+{pdUe?_CFswaa@ka$)Jpm(MNfUPpCu_Yym>%dyBNt}(u( z%2v=>uGwtf8*qHd2xfLXll(w>R(y7+lB`+t)ST4fLn&3;`^CxpJ!(Z%kCn+jwW*mL zcDQZF2hw{*kylLh-4cWlp9zd;IIU{CO z>VqG9u4^r3c9b&VRE!hc)#z13c_ZAfaqm!WY(?{3GLgeJ)7$Z_Xyfxdn3Loza_#=j zbAsYY7B(o$<&l%?TdQ;n!~iO>?H^v`)goEA9d2P?D1{zoP=89ZqH(A;@EujM$b{yh zx05R%M%du)UO2;6zLx;fTuwrU-V#S|LtPNnob%Bd8zq+BM_HO6=LkKiWR7_h$sCGC zcAWMD)}1th-p*H0S(aP{ZloUIQ54G$nHgMyKqu6ZoL0>o4}-2VVt$)iZip_w(g8H{C1_CA8M z9l8GtRcGPZhgSkhagNE`040Fb>7Ynq}vX}t=L{#vu+BONNG z(utxQz*59xioZO2dJc!ZRocrQF~)PvVX@FrNVdtd1dZ9wdQ{P}$Rtuo3^CI)D6%Binxh{{VS&^RMNT_*XCDHHzBXPw@?~ z{{UR!+sZsC?knEEX)Q5eUk~f>Mf>QbYk3O~muUoZ{(IMo+1bQxuJqEx>DPOn+`m}d z! z1wZ%6HM}&?=BZ|^ewACs(b~q643JG&QO6uqHnNM$8###O;#bGiRO^i3k9yqXIB$%0 z;%@`%2u6R=-#_=wcn88gw;v5{RGs@`l?FTGJbtzGm&9vvH-+^W$j;~(AAT$5e}W7@ z;S7}r-HzsU1Jf0B+vm4*a`N80UD5gf0Ib=yzlb%vU%Fw`CWvRT-H-j2pylJkDGt1C z9X~qK@uWUqkGxq6H_V!(%zy8;tmka5LFb>Ei2Nnf_)u=$m3)jYbBb0f(Tp5-q}IO{t8ROG=g!{CM2+WZ@8;OL%6SFHdWX%7_o zV{wgkHqzr1Q9uP0Q9uSWNw$`X0Op@o zeDRY_8lmDS<=mqqPRycUrt-6nS`{Wg%?7l)q;lm2fDdZ7~%* zpK4zt9jeaXN>yHH8DGgBl;Ia0D#pP}wvdPxG1nCDFWRNqOOI+pAo9nhF5haK6q{** z7T;<-vFTF&6r53U4BPEZ+A3TMIHKT1w0cprdQ{tJ+dvVj4k>oi_Rv(CE-{-$C|_!J z-&$OIQE(Zz+Kr!uK8gTl+G{TzGg8ufQW42~Q1KD)zlAk@NDaSbvuPOT9jo%o#a=$u zd|l!XHsayd-V}K@w`}BO9{p?dGxp5Xzq0=TXWtM=C1|9Pk|3XA^sA2R&F|6>Wj2UygPB7dPg&>h=?)B%1A7EuUxQ_<@9;xl0`Di;it|< zBhNVFrE_iYmghmSX(W<6SetB(A#u2<>%}|9o+`A{{3{)%np@7iMu;#ERvY zywXOocGUB~7V42|H8ZGy(zztW+ZZr7a)+v)FKOckIUQ?TNYd8x4=S<& z(Lm?xP-!+s?rgAZ4r{Q2%!INVD;E-NgRMV-3t&kOJMuFpqARfz*; zGC1QL)*Z61GB@2}f|bx|IQ`f`fH^CU0Iq4XwkpR-rozEgM9gI^&QBH8X}Ft$4emKgOWyiY!A2+N!C7Pc?oB_bWN$960ZfTCHx!%nOhiPEBaSyV+e= zo{T#YQf!d)UolDtIA91rO1&Fxf?&;!q%yJYJt`R6Y|*CB20EVAX>8VLky(c>cpj7% zYUuuC(qdNf(U2|=b;d<(#c}q8jSk&`aN{QhhkC}*@3pL#g<}I_VZm?jdR1f)EHVwd+XU`z zx$RMlG+YeqR{8UubM0H)=H*7T(uG~}uacyJ$?NY`Wms-5K4Xx_Xm3i+xP+`xGsw>& zZQn8eA4*m;7;ZN(Xruv#Ip_KObt%;ew z&l1SLyT<1CJ*ziSm^8}x-poJ!La>?9OsO=8&VPHJJt_vq-XC^pW{krLW*{F*syd>x#7Fdwi$woSLsBfp&%az35sQ$iVoQqr>7qhu7BA z<@SQgamZoF{c&F?X&0e&2&^U>E*4*uxHu=$zR1*3t~5PfByX9ZVv0Y#jw|A?5=_@u z(M*iVbs22r<0KxxoqANYM}vr5uI6`$R$mWz#qT3hs%6^zaC6jGw)_o}!(3kw_-9i) zpuVyfb`1P^Q!he45G%|)K=630!#20xU};D0W(+w=2S)c5rSMzDL&F;Wld4?CCXUwh zTHPa_JhvP+eE~Js4~oYW_CHp>4r6aqVzeQmDi#1C&g=FW$}N;DYpyu`8fKs5PvG> zhTX#lk@;6`@zy4X<7bRRE)SkaU%(K5A}fdGa52s@YNN4K{t{LH09l^Ebfrc4Smbhg zQ&;6-xbVZRH_T2H9Mu{RCuT_i;BYEcJNEpz2j((+^uT{I0|q&W`G{fc94Eh#~A}Tsc>0a zZ~%e92B3|H2w0XKFnd$?ow+^uAa$UU3&{$!61P-!Bl8vd$NMt%lNTpv=;e~9{Hrr4d0q=2T=Mz z+|p)&Ko8wXMHB$)c&5^=04)@tQthAy(N5b&+5l}7w3Gl*MHB#0MHB#0MHB&B${o0% zM^o*iZ?#CsL_&`!cNwXadr(*Lpa^`i>55&oCOxTk`%na11v_uGJTE;d+eH9Hx7v-q z)h^mLigyA%rj4~G1r&gfZ95d|b_D|?qneX#8)*u|0@C80ww9R2Vvve^Q)mISn9VCv ztpXd0Ri{xv1r$=y0ZBy^08vF0gf^3Cr_qW4Z6*aiiUu~Ey(prA1r$+01r$+01tU_? zKnz9_a&&fkxoJfFp$EWNY0lYP8Xn4<%@ zQG=gxSV_4)Q?5S-r!nHsi5i!SuO?~cK19Toi=aRc0=X-z>8=$G#EcO}$c8#+t|?a5 zR+XT)f#xUput^8$TDHCyl>nOZZK1hX`u_kvl}RX(euf)HWe5-u6*gzqq=MD0Ci96Z z6m1~?06N!^ptoEq1B`bSk#%%mDh}iPS?@?>cUKUj6o@uJ8De;>$s{d+TOQQuBm;XK zE`M^G zAY-EUt@zPZm&?i={c66S8(YZ|D}*Wz0jum;P!u=^jQiI-ncWp-p(VPL8tvzA-s6IO z>#5P8DyyBpH>W{ZmT<}YwT$H?<1lPjeA=`G&cK=#yMZ0 zu7b^3SvHWv?v6i))~Hz6tdO}$K4#_1AJA7tYXS0Ndp%o?9ygb_5a%vCjZzr0H80tm9;n@IfunPg>Wu zP-F~;1mylzjEy3~t;b#udeXC)K{7F6y;ZV0^`vN#q>+y@MQ%py6X+_;-!id`s`3yK z@5MnJfu$V$!3c4VwW6@MlODv!o}1$wa(Yv-Oq&KR_M$!M3vFk|r%KV$Y{V&dAUJuP za!*1!;;LKQ7Wo-G&FSVegq)9h)U~zUC)t!0UAbO)E!^h1BNGWrp(tYLBPqGqow)Y( zJ*qfP-Oi1c+xK7e#aUZ3Zmuon+*=-E_axI~wpinHvx6s=SR9ojwP|Aukxa#wFjFlW za-@&WqVtwND3xY;0R(mmdJoSvD%`Bf#zbQ(e4y>>KPs;@Ey-3WSLYmKK7dlQDQa45 zw0|~A=jA#6m6xeALyfpAy?b+75<@J87D$|ViIe?moz=OT-arEf#zAVzO6JtrnQ?Ev zR}9=S&svH&!>Ksocok|$jC`JC+xgUfQY!8QhVHe@&W2J0YOW4W395|SV9&bbSNA`a4Mxm=|HhMpZSM0th(U3zbKL+9uK3NB-BhtN=Oq~3u*QXWb zlIU;Zj|})@#(o!?71!-;mRMwAn69E_1)*|1dFQovJ`V9jUNX?()gX!O81I7O+C!5Z zi^DIz4{^n7vCj3>xvWR#S+e%VE95VSEG_(PtL z55}pTM>AQYx9UHkuOP@~VeQ+RBh;#H=y_A+$lX8#3rrwM&|r2H$q8%?{{Xxr&tpGkX>RbRDgO0TL$>(XqFRyV? z7GS?SZaoy#s!GTUChQEH8VO{2lAp24#de*!2k{m9WBVB0{j1?tj@iy23;7EC%(`Lr zSu$U1f=2G%)%r903*9W=3v{JfHvp`^j%s?N8R=37(^3vdredX#WzTA5Bdl)IOSYDQ zKm`=)Oi%-f+H%t1QvsW3+fTry+eirZ(YBvO0vk;u6(u&93AU4Ir%^!0(SuH+fM6)1 zibD!0rR_irYD!k5piC&E8KW4WK}8f$0Z!dbqL{*pD5NG7QAGj@UbIuF8W}|?q@V(d zD4+t0D4;<_6i@+06i@;+FKQZ-J9?5nlnn77+KTmT{5LF%%#Cqwi=Np%N2PvgUU(|= zSn<}c6h~xH%Pgi-_eSRcAIF;gApNl*W%zQp?;wf;G-)ioHV}9@uZVnE;u|RZBXbsy zCz*J=P1MXWoaBwCz79AYD;K%cpSfetwIPlzSD0cStVk!24Glk%d>jos7q(Ha>Hz$$7;O@D*4a3cQ)o;556iHOEiq3@@gg}i;l;f_NE1H04>xXUeyaRW@HP~y-khG5x4|oI*wtXsDNj`;}J7&0GHvFo2HQH&mD!x>qPsl+6v$TCRyv5u;P;$U}S78m5a3e4b z*#LzHrE^Y5?57f!lCm*7LpWl=y*;X5EX@g446V@mRi=$(w_pO2+>8twv26=6jA#Aj z#bV@i@|QH5av-yJ`9hozdh2w!%WaK@JCR(}Ge*-W+BV09>s>X5r3J0INgaj`OD;3| z_NX;l9UY#_XxSW)SdIr%TQ-`dvq-@amR0$2Crno(CZwyxEhL3Un665NZ(x0EQqx$H zby!h6!7P6+6O!JUrdPB&wJmQLEX^l5%5?fw?K<70QyK-_K5V}Y_}4iZYZkT0m&!5j z+qp&q)bwjRrJHuqi80^Q^%b#aGTq1{ zQL$GLgV=hS^Q%7_7Q-yb6oq`}^DwAAhHGC>@uj`R#KES3DGMg-lo|YZs@T__?C&h~ zB$Cf_H(NfI)NN7<*R!hhP==FTg$pK#F7HYtWM#ycF(^Rsbj1a z)G_vm=aor#=zmWQuf*!gz1R}qCSisbQ~zJUG}HJzor$`&aUZa+Tt$IeE7 zI^%78YbmjvB$Lfa2>Ee_>yO5_Tg3LlIPPJ?#)szlGC}ptb@N8oI9w*QG%mE(k54~m zQzghCe53Dk&MK9~x=9Vx7KZc3?5=D>fexZ(Eq2 z;Hu5JmN~dwo;v#AQ|60Ck*7Nyb;gQq;F3`{nI6!?Z#{i0oVo#^3K;ce9Cf7s0ECHS zw1BO~V^CFn%UGyexzjttUVUphU49Zlder&f5Ky^bqyWKU_AzF@1}tH za>V>T-1FYQKRz%v-ydqqyak-Aes$YH9!4qXQ@Y)2ePwt;`F>)7$75cL;oVBtMfjEB zd-<(})tq;JT#=qbB&q=5`efGydGkRY0eHbc02w_wHPY#8CDs1`gl^s`C1|hXwYiQV zob8ZpQU1|f;B~Ip#_aO>nn&s9?6kKw{{RGZxi4pxQVXg4q>%7p-gXbbbgxkGmYkY> zjnl@STz7X5IFI|J@P9hyz7hCtZ7<>8k7s)x!5L?cBiRoiAA0Xb6t)Hzpix@Odl(`u zOXjv^JuBq@0J4jJj-DhWZCA8bKId@3udJ^AYj^rr%3dU!?0+9GQMz1d_!#Ndr|m@M zs`+OLA1Qv=*6VNaUrU##nWrdY>O(*H*M_b^vU$tv=L^BfGH0INy=6nQ)`tq*eJB1D=Nz*wvVmfY|3g^z~iMl5kI4 zRhBBFd7F>V#|nB=nT~gnhsH5YQ1Wj6^7N;&h1{$uIidSvPrb$W9FzMkf~BsFg-;}8^4%K5Pb)w0t?SE zE##4yEN%L5Ywz#a7W2&bacYEp$ruCp*TA}j=4)n1qX6T-PMvG*{{YwzQC9F+x6Wmb z>Gz)8o-t8>c^vgVIC`IGzI@3u{q8C{e9U)azf)0WgRF3;)LAsUr~*n#k0y-J1hnod z9n`z10$kC!R9lasrtUtJ0WR-)H+$4v(aiu$x|+^&)|<^R=71#g53MHi>rwq_3jyC0 z0QQjfr1KAYL6h2or??`311IB6-f4Exx7v^w)}2XC0+C{EqiLs6NCv9YyHQ0j8?@1b zPN32xZ71PNMFR?M)9Fs4n8r~~#T!Kc0*YE|QV@oUD4+ytO{SeiF%8>BF;1fypfwt_ z>NfjPNMT5NQqng{V-k{T6L^u=3$&O0m1%N`lsT}9u0fLch+}l=37e(i4gZtEAul-zlzUX@x{b(k!5WI z!kc>IBq$$`A5tqOlX{&IS4WQc(^R%=sqL)5h8X19pnc`XsjhD3;t4qtw&h+`zU_TY z@VEA7(CqvnACA5wUC9Nd!!ujy@(r%*oPvI}lj5x>;qBwfx;~X9qy=`aKsg?!xg}mP zb~~wIXEk%>>&Svh^95E5#w#^jZu&L{y^bmD_VF{{R338@lG7Z=aNbk`E-*K46)+JbG5Yhiq)GC7o}tR>}am4b_co zwPzd9r?YnAPfnttlIdg2ak2jZdb)+M@Z55I`i#1=QW(7_C-deovd^^eV7Xp%ND|UGA~o!#9vC1=9=#k7`+XSy+co?-k9t;qTiO>;_%-0Y2b#T_zX{%3raIa7>&6*riW zFPQA9!OtT#=pPLi!#@)|bK+5c64Okzw2y2Bwh=x6eW&UPuUfPC1MreB3Et{DzOeDk zK@qo}2GRcj>#0;*M9UWx?PKL;)}!*>qLGx!09~U$FMp*-o+8^fn6YkDU8({3zZ&Pf zd8KMT4e@986eG+tHtS}{CP<0-7~;5HYf#p-)|KYn3I{P2100H;LvL)Xdo{m|ib4pD zO96sdmD}{H5AjYdHKb8?T0YT}yB|vM`+ZMS)g)Mz?RtU~>f ztxTFOl^;(%<3^t7fa^!toV9z?j8ev-qQQxbr2I z7`8~q0=jP!d^xz&k{RK-`%Cqa2*(wGntzs4ba6yj?faXlb4Bzgm8Ng$I_9(D%Z0Vm ztz^{h7%6py!w?TR71I9z!a;SXUJETqO=l|RCXQw(-$F55zlZdlJ{avTw9Qg&4_=N> z^|71+M?yUXX=|Q2@ph$QC8n_UUMGvpXWt}hE=D-Wam`bV8X-=kWufcZSBYNhOSOqm z7ltU&PVO5VS3{ucjpjn`yOBXsIu*@)$DsUBwXoHpvA9X><0X~F$775RYu!9QuYIb{ z7B0I80yz}t@g})yLB~_nqg6>+?s|ouq-822oxHWl!*o1Uminc{Fzkt%1U-DSpTvsi zbooDNbvwm#!>j;R~#SCpEDb=zc-5(-If)M4bAt7 z$OE||tXS&neKfMf>2DYtQf=EtJM&&^E~6Y!shRM@Jq|i{HO*_@B$H6LRg!-y+7XfE zHU@pgHL1-yiEMjS$B#6tNfl$dStL#aIQ~QW)YiT>w4KQyUPn zp6XAfcBpe#XBG zuYMr>Pt&zo?O5oRFZQVc z)ZMw~6m>BfaNFT}`B&l=E&l*$D;)Ha#koDs4Sibax;F##ua~|qS{rYUz8IOKJ0^li zkLAIo_L0em)0MvG%)hqOEH8W?BPanC@_m@8ubY`wm=n|-1M6Q@e%zM6PM6_#lyqXb z`eXbn<(6Uc;9@S@dgiu&6E%;;FHsqbF;yEFe-EuD)8=G!r+n)&u^AY^YHLU3@xPL3 z^tof1SIj_i0{q0O=9<4T+*9ReBy&#OBV{<;JDOP-7A!#ue(0c)@G*<-sYBe8#W`3; z0r^Qe>Dr@Z`X@K2eGX&Qt(feCY*4%P9xox!otspG!`HS|C1XYrH6e++d? z%TEwYEPm4{D?Fcarq^ias-L>oMt+!0jF$fPKb1kW=cReA_w8BmrrCEtjCAAM5zH9= zLa}bYY=4B-!JGaPdwDVa+@IxBW^3&rdnVdlhP(>n_Urgp3t=^RB^@%5u^-B@@4w)n zpABup805O2X~)Y0e}z?r?P7f^wDC^z&g=o2`9kad3Mt^&Nn3p`_T)EkxX0&NS0C_E z?G``vJ{;5-_ThiViwCt`kFmDk0!AqE_|7mZ;wz8%DCFv@VDPQW20t$HD*XxQ_AGDWa^*y26jJIEUVKGKNX;gELO@2>Ze$f8_6ZHn& zFN-eVOy?1)QCSyX7d|0hGes|pFN$X%`G=ZT7d*QkuFZ98AKtl)f53%Tn_ki&UDE0{ z(T`Vk{{R~NfNvalwn-VK@kXHQ(Bfi8^QyD!8oc2|+U}t;9GrQ_gZb02DNlPJuU8&C z@U^ad{dUSMe|l9P*0Uz~!Qd-=@9{>OHucQI{A==`+ezkT zff7-T+*3DZm45XgB$5Gj1n?HxvPM*&sISf+hdu$ey7<-OeLm_>GsBua)7{<7<0~jv z46%{uPe1S){T^4ua*j{Re(zqD@NdP-c>WpqKUTGcU3E_t>k~-wBXi^0*A^mv z&JCWfUrE=i$a((&#czq%K0MW@XPKkYA!049P~l@yz&Q1ug1nkKtH}CnRX=3;QKxTycFSufCAMx1 zXR3RO^Zx)GczjyQ@ya(xCn+dTx_eh-?6#6g=6un&2k@q9OAfWB-CJBRc~KfjnGSw~ z@UECj&qK(loRyjL?bWks=2dUK8TpT?^`(U+k#`@Ib~)``KCPtr%6!B-m*s!0Vn=T3 z#1%V-8&690BQ;~moi>>aa5p)@IL_=-;z{H~h1{U=*j1k?yw%(|=t%w=-P3f@6}w!? zn9@E%H%2u1jQJUh4w*cXHW^T|{ne|j;JM_4O0wfT5>y)Myg#Bf+_JlXcwSWWJ%x8o z;lC~rtro^35)XRjl~;47G?QAR#-G5l?Hg_~dVR{#v+$hl0k-r0WFglB9M_^r;fW&* zamPZLx zfuZVp4fVFA9rN8=D=SAf?6fR73;I_Ttn0UW<;;>@N@bEp40imWpQU@BisrSv(l2df zj55s1ryZDQ2E0E-(}m}VA%*_xInF%+u9!=iT;!<*7oq7t4|Llv2iV1`Uo10U$U%-a zJj6YIwbM6^wM|+{1)aKpTRwCB<6d}g)n$35E3sVd=bR5pbNGr#VI~L;70=Av9(`&g zoSCd-qK`*g9dhxR~L&}*j9 zW3;^Zd#h@*Yt0vkZSP@*4Lz8jIu=&m!{~O_(Wj=Q`*eDY*8VKhqyGR$YkSo_O1{(j z*E4&sTw2Ou)vU#ojvH%i`CI5}?}q$8;yFAA7m2jV-s0LOWSZJePt;V}e~auqO&HU) zs3Q*i0^YZ)o*WQ)@pFWpG+x!AkQW8SSptHb7SWJS*_>MDk{;j51gGf8Y( z=SXJCNuRr)dc?ZagblHNVma$eNg-_YI}Kw&u<@3jimD>IMQ7m?11-Vhe5KZbv_@a$ggoj{gA3)gl{a-Lg^# z59m!0UuHoz*S`(VrS-p$J{It8^}U=IBU6G%W4Mj%z$yvr6O8glCbYEQ+S|bL`2gE$ z%D`Zvn98yB9PlgRZ9c|p=?X@e3(u}I#c3~w=Uu9$PSez!Rl0QI>{UATq>s^G5%{}H z@ScyQ>KeIAdku0E_B(`ib&n&E{)W8j=fpZDp%TZY-P>GlKpcsK5TIaW0gw-+e0lwy zt=>W+Hxf@0{n$i>zaVQS-unAVydfu&-c=-FatO%aAJ($=F_YZCtyGSZN7Ei7@r9+2 zny)>+`1nxc_i8-=?_O=Fd_az85JE@{`DS5}gYDX}b&nnDzB^wK%y&uA%XVtvB`^G`K8BSwE{Ya~HqYW=}1yXf2WS$eT(De(%ZDL(!?iO%O zzLRLI%)XqS2hzPl`@w!1x{g!f?}eTxzlue~cURYj7gLY!V-=O9{71FZ;)*+EF)V9^ zFhh*{16_Wb@z~qL99IxsPvwu6MpKY|>qyGo32?rz^*lRJ@L!BHd-MlMngCe&aXuNB z&=y{6cTe%piM%Tt3(XefNWAZa5(l|c#d>_76rj}gDWK+Q?T^<)~jksuNB=L zyQfnk{pKE(oSN#5qaP!I(*8X`cw&nF1$jD_o*=t;^#;8!L-B>DjI6FukRDzJ?nEv{g8ZVqxdC!Vc^|OwLdMLhMOqnScZ9C z**wGPuskyqULf5LL!X`1zt0{u9ZKg?@g}Kx ze{R;Ah1Jta%F0K|e}o?3arxI*EwpEsRXvu6=soBB6pO%6g0}i@r89rHKlrM|yZ-=! zmS{UAYi|qRxgT|817m)*`S`3n%>0=ZD@@FrPT<4dgPW3FWPQnX{{RItpUZ!)HEK7FB@l-NQS(Qfv)|j0% z_jfy=i60s~NAX(9#>Z9`>kYH-h{m}6J68+4<)+}H<@zs5Hx5_7P~C+yRIER1H_M!> z4E3huM(P?op4{}N#z1Y~?2(FAZOhk{0Mpl?$vo1z3-bmz*;2DQs8PYkJ*qWb-ddI1 z&B)IHQhA&JK4$BmrxX%RovJ}y+o{Shz^}{KJoTuzakD==bGxvq7X^E&P;CfRRoN@Dp+G*I@+jF$9W7dEd?&Xz&eQH@Fjo1f|c+cJ)Y7@1XE0Pm9 z!u8Eb8i5)v_h|v@PXJOSj~2H6W1vXgI-WTnT2HXsg(adH9lFy8%QNA!2i|4=DzO_h zi{+9*9T=Kq*&)W>62Po+#@NZ)nH4&uMU)8D_~+#d_|<WBZ37smf6F%pKb!dE-`biOs<+GoXXl|?sXs7oxuiRf+!auO@q@uC2}smHBr!K|{!@p$e8<Vw3oZ zaHBln8US-EKK@&;bHxQ&RC0^*L+;i(d5-f^#1#`C@ zBwW;KwKm~VNyyyonrt{R=0Hy;2Q<5Y*ud^wZouo!0~J)prCL%{^SOGDr8QJEpC)$W z8I!5^run{3@12;Rx-rEHRDkS?NaK@1HyyXk8-p%b@BzjRAd}GN{sK(}x+?%SQieb{ z&L}ATtj;LTX`W}T8~*?b$k39CkIcmP_DD7V36r702%Pqj$YBlygjX9lPF*!`7MedQy$vf`Auyr6%Ay(rsf&<&!{%`GSuy zRC`L&uT0Vb`~4{2O$u9}%{WBemlVfv-$}lo*Q9tyGl09&uvFZVp}lVS7lQPT>AD?WVpy8PD%82qaq=l%*W;#sn7{3~w= z{vR?%Kh}#6+IC0Z!Zz!Ge;QM6-hh5J`OS6z00jW}gLR)LM$_RVlbytWI>@>GxIQP` zDJqsQ?(Crd0F4$7ci8agTiU ztSisj6XJE;ZNJ6WN=fLgkJgJJbH2yxW)O9C9^{Ylpvi3>H(W%g-N62}`0sJ?U&pt5 zjNUQS^51)9!(;Fntb6Ylc%tj(xYzXymUHtfT)zYJqd@1EWA=@83kXl|E}>OCWXK2g zug}lhD^gp}jFV~bpDx==f;IBa01`jVk@c^bt$aazn#P)uY8Q^Ha}vqsPDsx2UqJrU z3cv8TyjeFv6WN4sZz~_xysX3Bf9xPT>MNj|O=~X>L$v<( zKmo^5k;PzYOZMGz&JaYoZ1G)xh@}y&y{n(PRg@1w*EQr*ZABkRj!W7z&vgs$DUMiR zeb7$~F@kFfO+Z*`5Kj=;n8bsz2iCi&^cb#V5=nsS3a)ttdwvy#ap7B5o!8Aq3CxV- zsFE>re=x+BIMjKHYjBQC|3L*4$!Eg-YZPO!lrB zw{y^^6>Uy4Qt-mHx{((R{7v`23c|Ox`wY@;U9Hm?=ia-mYCkT{P1ry|W%jN`r7a*M z20n-UYa6p}MbMh+=3A?Dw^+!Hc`T=z#ndzy=56XEoqCve5t`ld)dP89hCjR9Qrp7Y z(b0ZvaHVmdYB`GKJgdbX7(Qdn7C@{p0_5yHv&YuFtHXLc(s-j%jS;1|L}C^{z4;pY z`o~FEmfv}3(nkVF!0veK>0Uvncv$Ekv`qSBjrMfB+^XPU5aS~i(@w3EIj2hQ=NY5; z56rhqo2z*yCBQMsgabapw=cXmWg5+IaSF1!;52E<``2%E;ghE762l>s802WojD(DH z{(l;QZlH}yiP4O0v_{G>arLT=M#I>iS*(0BxYim0ro1w;4ZnB-ez~UUe+hLRKGsW_ zZQe&8yHr!a&jkG|*tGo)%4RYdpdU8oP)9lKis<0cY;4SN8Gwluu--Jo|A7UozI;bu1`LguV7}< z?Jd|X%K0INRIW``y1BQJ+Gy?6vBuX%``=MnN~4pxv}r;J@UIPc;OWuLrE4~(T{?aY zVNPTB8Lm4}c;nP15FOB~e(xiy=DowmdNsbiV`~&Pi}to9mStQHI+I>GtaxtkN4m`M z5uD+%#W=}aiA9iD$jaeQ%iR4by8g+uyVNK9tOxa^f-(=j&qKL6`t`+qFK6&a!8(?n@yTa#ZNLT9 zfFZH#+v#2*`!eZf9WPOwLyL*Zs>Swkrfsu{EVEuYr8s(aJW z@59sm+Got)621C<}Ki$d2 zeeLn@Kz|T?EAchFED}f|7m9Y|ksmL&>MP)H4{5Ef_=>|$1edv;ZStekfPY-qMINo3 zn3UAHQRtov(OW~&W4o8jhW_vtStLJpKW}={S?#Od@0 zGIByBQD=5fztXz>Bjdzyw2{xIwa)Ll1Zt&m*FBHYyi>t`D!TAbi?qFVD`dNx&R;Xg zx=qOZV1w&km+-#Me-r#xx4dg~w@cQR>T6U7XhzA~&unLk>u`rH?s3Mv`L@vX+YLv- zzY{IN7V%o%gu$NNc|uHF=1XrImZI4zH=31lJZ!Q+&!}7FS zq>+N!!k}cCSl}O_&3=x2CDCuZC-CpXx=rkB_KRC6qGlZl3(j%hHTmn{SVgtgi1!#v zTYXN-TZ7OD)9f`|UhaDQh%#Qy*cz-?x?Vg0FV3XoeT0&$L*@9ocO_@l$W782pVv;0|LHS11^ zFdHsn9>=|XpYbRD3JqoB{{Rf?{uo~fNfw)`!zG-v&2loUASzpEUw)adfILN_u7%>Q zO3X{l5)5wS6~=K|)x2Y_;!);Snd^5y3iR&~S(e9tXG$X?wzr6gyR%Nl={ACiE3&`pPMvLCz!0gAUE zx}LoB9<-PuL=Ma4=a9yY*jH2>Gi*HPiV7r!mA5er8$4r^ifox>bB)Y@hpGJOj6`j* z8>b&yRdX8wjjiiQS0s{8of``O0NgnI^HajkJi)O^>bT%lNOu)bj8m@_Zr(I(f*U{F z%>yG0Hk^FUdX9ipk*dZ^0A!4FobyP?t1u!!t@&|Bmg^Z@kQnX&4%EpdSrM_db`~c& zr#H-BJO;+zanh^qGIZJwbC##HgL0LSusjfYgY7^THwDWDEL(!Rxuo-0rqDxYpv^}X z=96Rmhxl24tw`}kA!(PF#xUID-hpUNvUM0-dTuno%NZ-ut47;U0m(kJs{OKY-|Oi> z7B_s%%Gqq>H*SBeBxT!hQUfT9{>@0?eBgwY<0Ogzk&e|tv;qzZ&st_i z>if_HjN_~B=j8;B{{GZ|tWrK?B=hKLjmIQlD9Ktu z`_={9XxovGtpG{ps-aMNWaAWa6ex_~4ZkVL^`=nRaIhe$8%?` z10`nOtCDg%8f=)DYzP2j_p{QNNNkc@aOs*h4a>NVy(kc^AyKrc%JZCc{ApJ^Mh*o= z&Rm=p*_?Aq@+z?aDHH+wUaDz!6WcZNCCB^}f5H7A(KTrfdq#u*0A{R<-}or?mgDwc z3F;nSW^xBVm1kmotWUK3w*KLz@>~0-`Pad>pYT!LQI*X`BuQsIx5ntiD}1u2q0TE@8j zvc54~O2KujbZ_pg3y;i$O2YP@N9rGxKmA#w%O0omugXiW+Na|M%M&k)+Sq^7IHEZA z`?Zs(e$ZbPZObo*!_v0#M(?he)1Gv z?9KqHS052PJ8knmscx&=_ly2D`0a72YWHU|Yq!@MzvraPf0?S$*|dd=O(cMI+~@pg zwwDCw)ct$B_~GD-0?RhHYK%D~Ot~M1YYO-Fr1)=Q2$x@n1JKvyBI$Om8kS~cZl##; ze+omS!6Pb_Rc7T>79jp+f?qo7exKid+TRQ8RG;mYlm5Al#<4CxZ_kDH>ULgS%HD$A zzrw#bmrb`EMQ*CYrYdhOMgoOQb@@d;QLcB?`}X(#3MugZ-v%pt`Ol)jNAs*pulOk^ zgpsihgQ+<`?vLwV4X`c8o5J(IX#A-bIOJvAnaRju>qjaMSw5%Pm%s2*Z8KwikHYtl zCU7^n1N5wWpZF;i+bA~v6CfU&rvCuzSIJSNTN$EVr*X>3+v!hfKXzMeY|1$usn}eS z?tMWw{1ijQQ!_Lk8@CDAG{>jqShrudr^GwG{zjQ=Y!6OY;C@x}&RM;@%%CzS2*ps zE^<9^O*eKy!D!E>dWvOxG-%y;v&GXf4dP8oW8F;bq<*!Y+Qz*ikF;vqgzMkuGKX_m^B9xspad)|2e0-|HRZ+te4%YR2KT zrgC>=HhcG`wl{5Us(m(&X%))575@OU;Q2BI}DaE zk`Sr~r(9B%QrrxTax>e#ME6@{MJioaB);BFM(v3HK&qR-IP3XP1p9{N!Ul~=BR&19 zKQQga-HNB3wH(qjIbe5;0EZa#q?Tnnm}C|?B7oPSDBAeQSHbzV{p?d2l}7-E1DuSC zg^5#~1c$p0xTv1tmkbU7?cIed6R9tq<|J8MbNoD1b4nDk!y*;O?>pe}QA6Ck1c@E9pNF+`o%|XHSQk;gCx$qg-frQZkH&&iK@0uuup80Is~;!VXl` zkEF?Js&(4#a6T2V`$vkRVF_i5FENgKaaR08sP4LvQIzM7dgHDsJPfAZ>sOTtX=Aqo zBxjEG&iI=8NNk>o!8pbwQ-**x3cC$O>u9lLu-Ek4{Ln_&lYjZ9AthKm8kefP1GeHY183--!RxPe>%nZ zYccT7t#jZ#UHrS7W@+@xiFxzE=V;H;y)r#5-Zp8Z7RU}A0-f8woxYW#Y`D{lTApy< z4s=vd>uKZ-+-;XEPo*_H4W`@TFD>);gS#Fp(oTSaG?8Ly$7dw<`gW*)vto`Z50vhw zh0joHRP@y6l_hh6kHdBfe{_atJ*4GnE;JZpS1L9#{q^Vv(z>hJC;LQ^+rzaL0NTgD z*0cWru_l>Gk(4Wc%Q7?kxv9AQf;on_juulIf=Bx~tREKmX4_e@`#h1V9*W%qY)&=C1o2`a4=68$rZ%qsqWE-x{eKU&q6XC9a+E2&LD@nO!GFs}AK;6D&C!fq$-)$jTBb5nal4VyMdv)ty zAbe@kV(>5RMW<@%vMW3Li+w?MvD!Db*JJ+x16dE_T@S3}_Su<#B2&E>nv zsNP6CvRN^JM?qZ_DSd0Wydq*o0om04HFNE@%^;Y6TIBvJ+D|5vZ*?SPq>qBQ`@c_5t!2-0+-z!iui`-PZ--Y;j@~)7Nz=+@ zCvXev#d$}Ez8TM`UzzWGL#NyAmwbsdpEi1t&2&Bo@I}{+b&%d?+BP!hduL+gS8wqL z_E+(ri2fpKE#dtdZAVVI2{bnlut>-%JD$APeiK&GII%p|PWCu0YfJELuDFdA#Fz54 zioR93K3?vCpKRBU{7I9{_=T(#3|LQq8>!<5{QFngejojVd~;)_OR4K~+v)bUaT|w) zW!&r(ZpQ-|;=V9de-L=HP}HPSu?Zf3nDe-v0s4PR=&1`Fk*RdsW|HGc(|*eV+a!QI zj(B11RbE2O3E*_WUex)R%_Bco2PLVkF>#h2)mkN?#@*e^|C@0$bip$L*e8#0tUw+GmYPrDdqKQZE=!!rEe=M^ga>(5U0Ks>g2A9kFrxp9rV zjSCRLKgHgqlp(R^%-t;yd6z;=jp6tx3 z#Ef*n7^fnB@NI99jN*VIUE7-jX;Ktbn}57=`&4joRhQ=6NWV+&0IWWWKzAC*hGNgW)hM#0WcYK}JkB1ypfC=(S|%u>L4ZPN|k=}N`M zBvk;8KD5+k^MGNzmB^wZSh0542Vv_$B)=m@HohOa_oJUMDQxZHPkL_RzjFj1yhy>L z06K2xX!?G%4?=DespGX9w*0$}I_||r%iOC0>_Mezu(&P9`y-kLP9*)xg#<76e~X_= zjgEH5hD9CQsQS})gm@%09G_x6De6$(&Ps!MlTlx38r? z@2*ugzj5pDKnl(Gx!l?2lW)$dRhaf(!`_`4RZsS}bCHTU`420%kWr`rU5*>%P*2N& z-ksDjRR9y8(xT-s%D;5wd8dXhrzdXF)9XORZPGI1YLVP^`coBpksF~MGu+a%BE}RF z#Bx9%){&ojD+0rwnau(oio+*kGPljN`cqnH5bY#nQfG8+v@lHd?@Bk|XJJ04tpX-x z*r_8GD&08yr_j=`R#sS#@owFbQHEHH6>_M@j8eAfl#r@mL z?0Qmpm|+^O6Rzyi5H?$RF2zIaAo|jIe<Qf&M0twJbD+akW$d z&S_dgvrdLW?b~l|J5_HjR|l%Uze;kJjFNDV*LQ4DV6gX+S+-!~X{3%-;gLq=yx?+GV@7%;>1P3EM>ArJGkV2>p$31EZK5Ss%XSF$` z-JhK0TiTF`m6f+UGY-K|6f}lGupwrsJnh}dC#G>rERNX#;OxQ2(wGx71tff=+O(bRViZSzyDPzX!20lrIasBP!HtoaI^`~z|cHjHZI%c5W zxFAP>r{*1vF`0Iq*$l@bkQMMGuN2LoP91?c=R4q7W#?lJ)Z(27T1|_rEd(#45 z58dD|YE|0Y0J|eO`Kkg-425CqNT9T8%$tr#ZfOAZl!iEneBCIJm5~FGLE*i<>J0p( zhJ0tHF^|TiX$Rf`T}KQv$)*FwHx&=SA9#1D+DB#tBCg(t*ZgS2LY|cyH#sL9(7~CD9`w(V z4(5DuNMvpM!q{-9vBygKL-ujDm&Ts}{wnxr$gMV+92(t>Ot~SHF_DMWQAgwNUpA6> zB2T^B742WLFN&n_$Ht3GDG^PEyKgp^JZF_E$_joZfFD9fdd9SQpw6r``6|Vte*^(8 zwWwRGsryB!WdL$P9X_?f_@(~Os1(3Zj8tyyE7P>yJ-jXPGCLchut^lt*s|j|U`{h$ zY2%v-5(38Z;VXSa6sjAVuwHP7m?iRNvpBX7Nq zz*Lquk~b81=uguY^x{P%Lt}7=?)BM{DU7s^Zg=FIx+H1PAhwWMtvBJuu z44`K#=~@2(*yhz=%T_V&Ckiv1^{t~jD;!dWsh)-K&NE@*yV#pMd#-SQ3WjYHoU^x+%Ml=E zRs(k&is>}>OKdF7ys5_A^HOQ{@y#T&xG^Gs3XB4KR<56G4ALx;Dun8H4ne5V=xY+@ zo2y&Its6LCMsmmQel^nB>rqV08j-Y*^@!Qey>ly}+iF{cZ-m{}F}ru+SeKpy)SzQF znW!{uPC_{C?tUSBH;>|Ghi^56zhdzffb%SG6z$wcMJKjRQTS`|DqUjm z=sqZcwBHt6k1f_=wQn)}L;bIM^V{u1$G#of&;xJ~{H+TXZhb(`an`xd7kpB^@inY) z>)KfU(zp4o^($PZ#6%trdy1&H9U9QPX>`x6g|k4oj4)nE&p7tQRW>RWpYN#41ScO; zUJKx#+M3qJ&+J|>vby_BG3>V1H1W9~9R#ROez>i@JNCTrMfA-T^f#6-<&-k{TbCU( zfOE}udlc2t#qA`e?<*dqCYs_+@I)qxL6ae;TiC|(fTIk4U{!H|I@g-7?J?k8J?*~F ztIsSdrDR#H+;D#mwaNI4_POxxpB$^DMR9vNhYB4wb?Ma9dl%Tz;u7k6RrGN!yN@+h zwuwB);3zfo=f_WpwlUaArC44G0V=ckf5(o)(!Arv{{XZHihOmt8z@DEsX(l;woj+! zOW_}ea^77f)}qGZN5R6j;167pin!BIS7#jSN~P3JA}t2%TA%GVDda$;Y_~joqtsWW z_-5WIAy^40L=5=YRk!Z>AKZv98_kjF6tw!6WXch~Qyls^R7!g_@ylE}i%FCGwe4G#S(!2-Y zzl;yUABdWdf&4`wi%hzhz#Wgv44L_4&!HHvr|&dvjPW-QfZMb3mFz+9nyE*X-E}ae z)YX}U^E*aXOL&VYGl5xl} zu^-C5VDSC8wed8`f&)d87ub$#+COKFavcFYVQ+rPX<-Adq9vH@K#adJ=eAcrjdtN( z?vE=U4|Q0N_TKoop9_8kYfBBv$ExcpY;7YChxx`C$I)_s0bi1~cILvwAwRt>x=fs% z#OEKad%x{*@w)5d*TiMJNE+M2T3Kkc)R5!tE4XG+*n&q<#y+*-4KZms9%PP53VT

o zh!xJ>PoV2l#;@}>3Y>BqiU4-#)<50n@TCfQE5KyNeGX|+jsmKHr-Es5<$_CYQO4Q; zdoJWViNdZk*wDeH8U5H*PnEqoQ&3|HPaSxrFqsz(k1URT=mC7d81F)=ylwups-;;1 zAD0`!_w=Pj-oek`JTN|#Z45G_mFT&k0g8sn1aXi4y(|!_uHfY3p!K3QSu=utK4I3R zhxcj;8GP_pqKW`?%kraSw;Yd3X3dlGlgB?k(MJMj?@fyEW63TE%#}B!m(^XHHzc&PAw_#0fz>J@} zo}XF(e&uyyGMGIvM?0e?Pn7j<Ki?vsCmd9bo<4Cf8 z?5G&pPhWaNH_C8$zy^U5vj=0h?gPl9F}4cw2UX25Fh<>;rwls^Yb!Sd0Quv$6vj-f z+gt_Zy8A62V=Citk$pWX4t&=D^dFrH$>(fY6t+n#?MO=F)wgc!4@}d7mKZ-OH{Phc z#ga^}SvoFgX#_jev0}rDVn>D*+@5MJ#lT_*O#HM-gBk3ldaq-e zRsu%Z@)gQIc2mV8vw4UEZ*1nHZOXZkzF*$K9zGMq|oh^Shr)We@XC-TSvWC*@!`qs%*YmgBAfrtW5Dc2T>a zrsS(*J+e&zNRn~550oET8MjEsqMm9WFhoula-Osq2P#_yP7MG|?Z0pE({~v119R7P zNAt+cqksomZso|!20`!50ws(unVA=JH_e>V%djfpKta!5MK{bIStQ}JmHJXH8A}WY zX2(hfII%0&?)~Z{VdeDm7#dB(3H|Jx)M9PQ{{S`%ebbKgfR}SN^*tM+`cq_Vw*Kdu zXPLAC!G8So^`nwY9-qVSNK9E6JYV@JK_7LwG}euBLmY9O ziV566QH*iTH)iaGJAmNl){ulp%8YeBwG%nqNEi*m{{UKlUzCh0^{Cy?@o)g*m=Vi1 z)(0Eaeq1o@d)B9gb<^R$5LjxklDE2S@!nhKfX=e10lly*C4p809I(YPoR->natI{! z9`!AAXgKK8KC}4yq@}-&n_ttmtXhq{8l)1b&zj7maUYIr&95$?*R70^x0f%?=Rn_h zG43nT^c_(ALj9a{E9GU9_rkX=r`)bSe`I~QF&YyLtFp(}G8;IqQ z^{(wg+*rpUd?d)E2H@oO6r8L>y7x~N*P?hr3FB`saZ(3jI0m=A9O`mhE#8ps%^O5r z0jvHX@cg%vOwq`pW!v(ePT|HqhrLbV9}3=R_g`(fAr)1Sra9-+*0ttbwmGF8PP;>i zA+uPQa4t6B_V=wFCKX%zXF;uQ#ANmE2>$>Y#*t*VzYHHLM&uaAb4#gQ2{hRd zsXK589nNxUg&hi(2yQN$Jd9^J;;v01Si;gWBLy3jcQjbWWKgk!1GjJGT=$FhC2eYJ zDBBUNLvUZ=q|1%T+g5qze>H-F`B>xYTT$LgY6uRyqyX(BIj%ELW`^O9mae;Z9(l!W z+uekJmp3L0@;u?#Bu+GsS%W0O0Qx z3<&0CIl*2!pHFJ{kB55nHn*0~GZ}4)kikzNfrFpMrMJYYkL?3LhwbdVG2@u# zlF~Ee+3GG1W5-2ePb>P0_lr4vyN1Tr!7d0n{Kutu*T$^}Oz^&;VR=1@-gs+Sb`nF6 zn%dxh5|Pt6>Fq>kWy;K@PhNPRLRpJFQrT{-~g`5E`)kJgJV z(;9MmSo$mMD!Z2jj(4x1KU#+8PxBwm59K=j{GLBNSDdHqDdBsq99&H-nqH=43-)Ov zG5|5xj@5_a4sKtf+3WFMiFp5K9$g_Mwh~I z)Qg(;k@8RNiDRdDYsTIe(`;=P%Sg4;HpL7>01o8(%_q z{kj$}_)R=DIvwvNfet%yfIppl(yFYXfW>;0rOgD-m#_RrhV79^C9~Q;1`x|jZP}th*QcOk3&pd zho=Xktvk;0@f!|*l>;4ut{t0!*mS3&t4KGFPu)GKk;cDwJH4s@0DHbypi}EW3Au{y zatTmZ+|%M;En~^TuN-^RMj2FS<82f=I@4Y83^zE%Ns!fOBdj`D1d8*a~ucYIa;{%*QMYe=Q0HuU#?g(tdyjgp=6P$oB#?TVlY2JedCB6WvF(Ex zZMh`vJoLp3*jU*1>S?UOWWa1FY~q;gHx^^^`ceX2-zn?7oVF=9e87-)^InmEil(B!4XfI95)C zFDLP++E*-an9o{OU_W-PxrpS_LmtJ8667}>K*clNe&`(gW|+H{FqkY$U{d3j0QEmG zsu3>LVyd4bfsupOn9@H{$Of9z`D}Q@0fnZ!7~pb;Ami}$sniJ>m9~sw*!~oV<(YvX zvhhu33vh&-FI;{U)%o{6&<1IePr|B$gaC23`O{U5XzB@V$2reWYK@q*c*oL+_ZY$L z=}e*PC(MhISey?^7Yd{khivf4oy-k(2wmAo{9mNF_3AbklC#NEjoNg%K?#6d5NAqnfw1b@F z(leLiJZ|R{m=2HTAeL@D>Nk^f0>te+W|8u)+c+NdkB=;d=sJCAfQ5X#2Hbh-wDTt3 z2O#@YZ_5x)8y&qVO9ADmJBjIMqayDH2wut)PVq&XTLZlR0Ipn^$oD6$Yxsvnn?uy@EazV; zYjT9oc)AWtnI86CisY9gJaIfTW#yxM=r`?Qo=@Xeb$f)5PmTnJKP^ro zX6wakURs8eDaO_yt~wD^B+_GK6El3>6b?r<<7*wyqp1}o%#La)nHy_uKp*dQ2OW5= z6`E_0nWbh}h7)fC>CI?1jS^fCQ_NN5uYCH^sd;eQn4w*)-3P5{%#K$VVr>>rHqL1V z-O2`AuQ{zk=~o6GXY+%M2dfYfk>*t^AW9+Z?J;k=Wy{aoRn@ z%<`nn_Yy+?0CA5PsvzEi;OS*@H*7{@&vRaXedb9tml-WA&OtftT~?`ltDBA#bR(^D zF*u(7Y!cpI&PTU;2Az!<{%wp21xQS&_3V9WTg#{t-Ohe>`EcDuUxqPjY3CLmRAbED z?~36yOY?NxWV@V@4k?E@)Y;xV+k(hMm;r`y$EIt#(iSPLVj0?_lB>Y{YtA&4-E$cj z++oSd?~3nq*_d0Rs9!H&-dC=DDKn~*XHK#-HmvT-+j$J5I3D#<{{UU{7+S!JOo$vv zIsxnLP-<5#r`xPh$VOv;aQx^GLZu1X8LN{~hXm?DnMd=4qcGJG-zd-7p4oPn98aGmZF> zaVqFilyZ)KU)|Tvx7PCc(x}_h8*|QU>D^;Z8kUbFaxd?kmW@ZXd1krr)>)obiVR7# zGmP>Hu87(vElab>{I`Zk!mF*jZgK85O^VI$Ixzn!@ZCMmwZd;bk2DVzW|7 z8C`Lc*m`?axb0zQMsbqM&O1|f>`ya$GtvAt<4ZkWXrqn(#dhawM8|Yw_Br*hWAIOn zq_=j7ol1@!02@K%zFcsAmGg$1;p4{GH!-6sD4#Bj>- zxPfiI7|D;}L4%CD1fZVZ5QU^pL*dB?(Eh8I>gt#_--BsS~BaBe=e?Dp~Q zw@9ts?UpQ?v4B2dTz;LbOQvcDDP(*DfTZ%v=~d0qncJ0}$A$g{_+cSS zsbre<<9vf5#^KL3={ioAWunLAX_k>%jBx6MdGyOy8{z$bZ}At47~tn<>@i(}-z<^F zR23{i&MMQ=$hmhmVUagrz8$fa^=hwsIk+bSb1C_cPCY6K7&07S0n?sKQ>5OiS+?c5 z`F@nlWosWce%sz({3KouxI@cWx}VHf&5irK@t$}U^f&F4?RnyF4Z#YTJgYKDQQVMm z`d82K*xkrZZDl`2HSN)9K_4B6SE%en${9;zZ#V}(STCFbmy&FY3wTw*w_qD z@#3GecLQiXq#A}iZW~KD&T3{}t?$~Hf-o7EoMSoSof?$bcVv_Iy{IdN&M;VkM44F~ zM+z~6@99A!!pFNL{_ycauqpu=eA41Q$2=dc3Z<6_RFHG@6ae)_Roq)^XKpFpUdNDi zPL$oM+n8jIxu?WN#0=OC{8S87`CAQ>#s(<++i(=JoB&M=yPTYbJ5RkeV-fBo1L>aB z0X%{?jq#E(&pi%$Rc2szvYqLkR~*-4;LR?}P@XlpfD}?lPtt#INx_m8x z@|Ip}DNf9#8=e-i`Mbial?%XCr1Ebhj0Lrqjt9$MMn`L>Lzi0!Hm(i=)wtxd!-Tbk zLh`vzw7sX0{hyihY58+lV{5!46$I7vjJsbC32j^c#`KtR5krq!J zE-G<#I!K`eC>yB9S~iJ1J(pD*EF&eG1&?=niG zrtS1BlQSxrBxW5$9<^NUipcU9z5(l!Hd^K+ILF@RtwsAk>hZ_5?_*L=1I!0C>Wwpw z7_nZ;dQxv`F|jtbFnQ=IIhgrVJl-FGGW@M3qRIzdtUs+-gWw&aNUc7w&Hdqwe=6@) zzkPy9Kz59pJl(A!E1aF7sdF({;-mN%qC(#`r7+ zS(#e^)N#hD!Gj;dsW3U1{t|dmS1oZl9X?@JBKT$DI9P3tXpXX7lmV(17NIFf%EfHH-da7%t+Fq>*{MjDJ)wX^NjmaGNEIPk?c6B zyDG=Z#!UIKwC0;FWwJxMtoaY)lD?`@0|A52T4TwUC|4!9`D#2Ln3dj1sTGQ_AZ$4AKnB)T+BagJvIzEroVNfP zYi=21>7KNRyO~by!16t)0!MSXlz^?$o4lvZob!{4MPg1H<~hb%ns9cy=jQ$z0C**V zRU1h8jX9NXN5Rtb8aHf^JCV30;pXWyASn-VG zg``#5L2sDmmB4giw{5^992#!nx1PD^dQu}5KpUn`DOFDcATD|4kOBFlWdv^Bk@TgI zyT*j?s^;Fa`mYhB5PCW73>3q%Jd&O<;E}d-3?tzdq5?myfMb zgUnTvEHb^}Xh|8QVizm#Q*nmoIOinNaszH)PoSV@X)1o{ z=Av!5EPsodU^%lI1Jvgfk~3r{-EO$`q*BKqHdGArKyR3mxj5md6~M?gnGk&0M4_jw2YPEVFEEKXsK&^2qwzR9jydXu3y?^vf5w zgI0{a)tciF$b_R~pSzHK@OoD-G%nHwSpHDCI3t7TYp3w8n|)*OmqpW8bT@i&Xy+b+ zRxUpx!}YFD$38Sq3$zzkaWs%VV{a^hlB2DB^-4U_e5ch>#w80(hU<6PWGK$BjDe0x z^sFoCoG#f0WKWw1Ba=&`{8`a_Nvr9)Wxb=N#pTM|hhz6ckTdVeuVC@F!nnR4mPzL~ z@;dyi-B*gs*-94XI(@x5n>(Ia;hh$J8r{T;AWOva(6>TEa!0o{*7$js?Bz=Cj7^qP z!Q^9)#<%sa4aul{De%^`aTrEp|*JyK1_|x>ND5#t!-p-N=dy9 zeQAoop@(sVZ$VttHsap$M;{}zWR>^mK9$mI5wq%^Ss7MMfS$)4tCyPKn8{9Mi0yAq z3C&3i#@4S_=Tb5Q5*fv^S-JAG@u_}Zq&!8Qo2$a2Yr zKf-zDyyro>+os!mq0TlEI@Zf#S=i`p<*Sz;GQR|M!5u5K(qzAT#TK@P;@JQ)IOq*= z9vc1i|=4J=0A6mk0$89xaSGd%ZR+*>B2>I&y0 z^37-cpveOH5^suE+E|Pb4>g@7*OOxFX~fqA?{7oj^vzwhj%aMIEmUodVh?)%<-s?Ue0ED&FVPv*hq~^dzu>!2_M3oP%Fl!KLX_Fy&QQHg6pX^{$S8h1zbb94aS{NO6!* zZ7cPwRS0-@6XXpK!#6%;W!$R91F3J9kZZKid_J(uUgeysg~`T7Po;Y~_%n4K=?Kup z7FY&hmMS^xT!x|W&s?**c!j*rY{Sefry!2Q*wFpq^75m5MV`-?M7AN{v z&S!=j=MV@|)U11%hzxQ`1J{m!8mZwu8tr3IEun?;{;`M5Fh1-ik&3Vlfy%G7LD3m#Yib)NjggeAx{{|IafDv}QDBiDceXjCJERovgxA8R1=13W0%4a9H}+qUrjCl0v>* zpS)je=DdGPnHy1d^A5>dXjSMj-n}bHxfcFUEUhQYMXV8g$m!bbZwPXsm#?Y!sQ%R} zMZsVg?Z>CRX5ZW`y}X3(X$JtYs@iU$JgVI73Nje?_Nz$csU(rgd_a3!zZ6F#kwbH~ z6$h7=CXB2;%gG#R@GMMdg7}6%-Vff<{HNR z(nYv7**1ms#c|hLW0Ba6tT+qSy6sj$B+{-nFeHWkRm|!NW4LXR;fTw6n(L>r%_0&0 zt$&1(_i9y5+jf9I5m9`_h*5!#b5cgCyp5%MWLCrvVs~MP&r*8W$bR>j+p}S= zBm!NSE)RVA&;*2?#AEk=by!jr3aW*0xXCB^(IE>s+meKiC~T6S$I0W{(tzkYZsz$2 z1&=$84z8bhlOJ5tn8VI6Mt{0{Q`L6LN`)>D8Rw@IsWxFKNnc2VIG|0}`b6!L|f@z(-|-L^z4j0|=6p|`UTQy}|tC}t6} zFGT=5_vg8p-=XqHrgJfWKqToJkj2+u>ITQhoN#KquJ;A0@j=PUt z)b`k!!3>S}fH|N8EtLS|llOq(MJd|7N0`mhqx(Xt1t9JR?x?`UF|K1~$ZQeQ0E(ep zu^C*x-<7d|DH)k#4BZD%J5+yY4U8cz>qyfnWm5!yHItML3C@nylv!?gbZcP5`Q3p0*YEgNOFgV4|qmdwoRr1#HC@1pn(;_2A$RRbBu z^H*d2ocu>CVpm1~0C}@e=7-A9Gu^d@GUuouaYxE=zpi&l$(Q=UEaqAz0yC~p4mt5b+Tg} za6u-m+y2e^I&KfBP6#06 zTYTnCzc4PHer=gU$E$5tQKk7yi>`G@TYvEY-EbHJglm81h>epU5Kd?N5< zamKP~(L3YsZ#8NkhW-(IUgphrHDREj7J?iQbw|}r|#q`zr(cV zzPy9NUKm9sG`PqaImcmB#bcntzGOOFO`lX56)ve>&7UEyjr5E}c9S@6%7oPM=(@v6 zu{8PHcR&!=*Rjc`#=kAHMsb~~7y_h^P>nz-Z2|+!9fN_|m$ha4Bjjj&FRsX?Q%tyD zQqi0r#;rl{{{Y07iZ*F%>9BTz&!=7YIQ!d`SDpZ-`Ru%BY2)T@M?I+K zW3n+v!(Rz;{)M}DO|@$oc+*JTL`6&Y}ubC(OwF9df zhS=_^aW| za6uq@`Wj)biu!Jm9rwZ+tqfs>z1UEg=bQp-&n@&rZDz3fcvamK zjQ89~uU+tJulyi)22e{Gw-TqX`4z@XXC0iAtZrL=;TM_7>B%+6BdKV4--unTbt^C% zY4fn@^zU3`*F|-Q`G(2mWeeCG^{(f}!7i?YqNsRE;zPhDxQn$|-_3LdVL_N(*FL|HdbYQrzCVWk*X+dQs4#*vmie=t~*yv;KmE6B1w{q z5Fa=9fu@CXEB1$k!{NI$I;JrY}3dUHdCjpIn$Hqw4Rq)NkajLo^7wPv- zPkQ;sK|WsOEL7(rx|NzDN33{FnXZ&9xnUp;yN-wd0Iy#|u9BC&8wXln*X%BIi>3_MQ8Y2# z9;iq-$)X-(XUP{|5d`IoajZx>p9J=GfZO}vZM3%H71v!+_tW^hB-v+cKIZ1IqjN>MJ02lGSKy# zKNCmg5?xkRP}pIN=dUKWYH|($rsUn1f zuo1{3)K@d$zlHuP@gLdcK#grPVPtr~&OLk9QM9!>Aw3UBvAq*ol`<@@tZ>S}3|7vM z;;lnXxlJXTwwr3_yvPsiu#{>${{{V%BYYLZGjIpu68Tp1g zSI_CMUuZgm+v;}HT3y7XsByQae|omwGEX!If;Rm#yUWWmfD{ATscI3u)tpx1b=Z=SNdWs+ZP?ED(VkzY+e>e#7z_cJoW$xe zzau19rs#Wa7f)#iC9(81%U@eW*Wq@PJWYipoEHB8^;b=yY4JxBO9C<~9JeR0d{i?? zXhE)CJ=MU4Ut&h&6H|DCbkRIE&eDXHhTL>HsV(i`j_I!MSydfQ)sXZ#;Mb4*ck$+- zeJ#G5ro}rncy_o6m5_U4x+%w*>Up@Ts+?P9%Igat1*HJE%dbLP)|@p2+yP;LI`0+W zjW>!eqgTs6rE080N)&pB zseiTYBV}VMHa$;T@rZsJ{71Ut9S>3<{{Yhl{{RY^{s{b1x;XyC)jtH{QlR5J*E47PFnm_O+{Z$_3ONkpX+M#x7ay`8 z#Y1Z>-`Fz9BVGPkW4Qjce$AQvVK#EpYPR>6QnE~{9kK!Ij8;|jd#}Dw%yXRjie{VO zeNx|ApH05BxU$ru81f`i8`G(+4-shhIu4~3wD6c5$MT5@8Lc3!S2r@y%!fRe;ep21 z?lV(Hst6eQLuB`)WgMcPoB$7}T6~d+_nhrh{mRsl8I_s1ZciLjnmi5rvCi651yL|r zfgEn+(zIig#yTHdeP|LMGO9829-Duy5*9+Ghs@mMew4cy$mQ{j@V)-D**@xwu-rib zyL!+zF;t=hg18;~8j?Jjc5TAAz-;lFbb+@q&hCEiY9>=Q5O*A?=sm?gg1C^#*-w`v zkhvHpra9Ue$Ajxa=ZQ*gP6F=aikVQBATsP>^LtU|B9-Q#_Itj~8#Js2Wn(` z3kv;S8J#{U2o zwLm=GK3K>5M!#A&rr)|gQGv;)tix^>gXz!s)mzM5lItV#+fV&~{vuy(`%J%P1FG{~ zC7=8gkHqq?@3noco|yHo(rwNMRX^|=Hy@$)spO05KV|*n^UBZu3A3oWmburM9oPz~ z+w-lvKlmn%f`j&*YT*7~<6n3j=R2G8rOR=XpTet>B6MQ+Z|^=Swf_KuYxreA5^C3n z=)hLCpZ@>^(&iXjR8*IhlUWAIgk%@P3fE{{TUU9)SR-p9|@q^XCZv0DubCqNeY- z`5?Z^`;X7R8GgaOAMtIfYCjHqM;fCHh$NHEjB%U>9V_Qw7=Fw@5j+baeMdx-$=$Tv zTm0zW^~Cr$;)jZU8(l?r;q89!Ogn+{M5Myr#d;sgzNhdX{1i&^NYcm0+5}h75E1Vz z2RnUAF+a~f)LAqqbLYE1f}SPRBg(;od!8{`F#gV7Byz0Zx#t_zv-#KD-XCv;e;n<_ z*M)WHZLisPeVt#(mOrd#lUP0?_*LT13OJJ95v-GQ4&-r)g<(tzQ2Cg-hW(f0?x9X%9e7Yock@Wyz47j(r70 z+m!<2c0Y)}H2K(a$FZ9afc!CU8P1sw-{KoaYUDl|&>$gV(_mcnJ4Z?yR%u8va2KZT zPrXOxDvXE7Vc zp{FLHGRo>0x^3xDEYj^H5Cb4Qp8l0pOE(Fa-FowoX&PpaJvTSq=8H5AO&1zN!Uf19 zo;aqx!${GCA!yT#8m8ALY0EPazzQ=+E(>kij2Et1NXd!%F}M%cCp3@;}pep zEa}N09527tsmV8!CdOZsoCEx+B#^2cVoki~Jkkr6{J{I23C?za)NTr*Fi1U11JbGa zsK0TWa`T5c$NvCcnAZm0KEHdadeBCtu_~#{0!bui{gP=`MKPf0>@qznlHC~>F{utX z*-aNmY79mPUCh8>el*HkmzGV-v9Y_MG@t7C9FviZe=5(C>0fTi6}ivK*~qB>0JLL` zhWT48a!4ExK~JDw#q$jjp`H9=qPIAUyPEa3kDT8eLo z8bo*xsVggV5#ZCekvBT=wmB3z3UkQ^ic-auc;h(BR}DAB?HUq6x*#4mIOTr|t1re4 z6flt7yrno$a5o>NIYq67&Cv8NBW4F^+(s!TkrrT~w|}x0yx0C0R*XK5nNEk=p^io98BW8qYj^jrCb;Q>2$7ec%NjMWQ| zj#`Aw1aV3+*CVYhNOdB*p7Ao2RzNp7=bo7MsHAg_V^i|{o4XqD3y+K%(`A+h9Py6T zS-vIsj`Jlg<{+L5f^kh)PP7+O>VE*u_8m&*=?G$GhS4zDARoW@cCRu0psd6`6TQ4H z#^+Piq#IkWml*z4=RP0tAB``y3qfyfd5Ilxu)^TucVmvV>i+<>kNP}564H!K6D@-? zWPRsv;`ctan~%PZx^*KsXmG!=W}GiRJ?L_6{{T@G(*yqiY}kKM`PbOL5Th45F%D=FEp>K;Z1uCrR|m!upR`HZi*=QY##erT<1;gDM{e2tO?=MQ@>uJa7W)_lbHa`> zUq^kp?zHfQe7*V0;~rM! z!@XhJ!Z>5x?vIcMTKUsQjpV`x!$^Kie>3e~yYS~$@+Cw604)&Volkz%oROtDSy=Y_ ziKM)iM<;KZi;VvO3k=msT3dMhg9^3A-R#-nhp*PNu9{fw;gTnR-+ktDl^oNgye}v+ zo$ME56>JKFb*Y2#Bg48+jxau0!RNAbn$hmHNkSmFo!}q!$ zilf$Tov-ZO{{VRuYrWUp0sN?)+Gc*rQI+~1WOxSYMwzMDIxK0cST(GY4$Lxm{5Y;- z;Xa8Dm*M{aEmzD@E2`(WBntEY02q8^PYmdGmbxr|+B)^h7D!?F(h^jB#QNm)sXi0< zt61=kffa{|EN<@Ol190X;>8+iL2gQw9N=}LnrbTNB;hrC9`E}=ct#n%9Q-@Jv^ctk z;cadi8|G$^D`Ah|I6k%0_!q-#6D^!D2iWNekYgDmzrB3-;~&~fOV;Pm^ves0ZuIH( zNT<4*Sc*pyjHzOJ0ysQy1$_tMUl>DYC!J$+6wpf|+$^yW%5XTwD|Kl~?HsdpVNaIk zckMCoyH2!i3ib;qW}D3WJF}p`3__gx@Y(z--G{>84QV#IG!3P|qDvIHP*7x{Cjiy& z8EentOB;2%xLIYA?HWH$PCuwWg=>vgJMXizObc7vrMfQ}+NY&d?A?T_)KE(2&NF_@ zx-PBpOJBDMJ-(j=V^I4#Kkme2^ZM5}tNzS(+Ly)atv15$;@3ou%wL%EkO2fJ&$<3p z^z4^$!>DU_QA#}9+jX;$W0YKuzMNKdz2%OV4~XvffvH?PHa5(AM2fthLGz!=vXpet z>Zgd6?9a@f8|gZ?hi1BHrjXjjJH)IU{J11m2AAW#R>nYl=^s6b&3%3Gdqwc}hoS0r zqfJ>abz7q#QgX@x`^)K?@y#3Id|Ljs8k;54?OB04xL`e7HKciLb|or`=-T*KuXvNi zkRP$c^B~J^lcDG<(Cl^VsC5}M?M4x8I}W(u{VUKs8{r!-2k3CvSS(SnTst!T?{82l zZF5VsyqXDKD2vDPhKO`H?_5%|D^zf{HmT>yagGBq1&>qfU0l)qhet@Wi5PCm^);Js zrpIw=lB`V6yr>;lueE72eY05*6lI1K`M@|NfzVcQT+FuYj#AFT>&BiS(EK}QuJ?Dh zA|O|SBRso)12y-3r@`+E>2`LO%cR@PZKDwukpW^r#%t$q*yqDA>z@+5Q{p)ySGUq4 zTRTwdappfHgX}mzTKf82mu5U1{&}x@ojAoU51YnR_LJr8aj9F zN79)jYvq;LFrxyern2Ne(x@(cUHeY>cFx=5AB3)Bwu^Pl5=U@$fxSWKewFjD?Omm< zoZ1z@Ra9nl-H%SjzOVhN?0l~pcq028tkOrv@n^Ms+xul%v^qzJrV7S2cFFCUBW_3J zanqAZey7c7zF`VS9fI|%19@Pa;8PW`7&%<_=bmao8?FG|wMWd@Jm;|Wtqzf?oxyy@ zCpj#=y{c?^O*kMHKQ2G1sNztvBC%-lI%6M9)Pv??Jl~l{S%~U;Qvs>Ba^#s9aBJ^sf|8S(394qR~v{Rl0IkWfm655vmZKc+|A$VPQZPc{{RH? zkxz&9c)GIQqR<>KsJhX6oxjJZ7mcC1r$+C zK}8f%a0)1*fIkHI0CTu!Cp{?ONUoUV^1jt1jEN#(e5Z_h)J+&0n0$jgQyDeA)cS1E zO>Z;X+xr-)KN4{B}%Vmq;epY~jT`m0A?{heem z9Yexeyn2nhDRBcZJBRx$J*)FC%FoV(x{gmDF#1<{@b}}FjlLJ^5!~o{<;-i0eU9mx zNYCJS$K^@IOL5+DKB(0!b)OAfJ-)MJHLQ#LP6J`)oVFZ zUu3A&T~8~P;GqmYZNnm?`%vkOp8kTc{v+r=5Izy_ZBxVTd!@!$uBB`@rr-US@vkeo z`1X;q?Y5Op+&C-VxteQ6Z_OU(wl&N=E1YlYeKAnA!Dah0SDP6ax3 z#%d4vU3!~H-c6RkN3VJbbt1Z+{{Su8k=}qi>Uwy{I&UinXOxY*%#w2>Wt{Jq5lAG;YanPpwTZ8 z26t`ZTLoV+CXZ;~{KJZ&FO0N|kk=qO@)#P%vi*gAE?#6yZnnga;$?-Qvx7e}W5C_eL9qXyH{{Vt) z_~u1cmszujpS%Mx{*|?F{{RHf@dKu2@dSJS0NGkO1Kar?V>iXkAV<8;tm8TLH9}8~ z8Y-$6`I{U8Uh!%F00he`BDDJP3yyZibDHQh@AxLZi3>m4H7O)h(Db3j^bc((v{~}x zzaK2&apc?YA6n0o-2)t_9ggdWZY;L@_V*_ z#1Xi$Aap0{K2@=uML+wa>Oxc=)5)L-znJV$g}WK7J%<-j== z`oC-YGkiC;10EQ$By`GFwYR{Z0opd`{4->XI${;8gi_p1)|SWQGWg@hH&4Rd50?Z+ zgc_A~j~z_7OMBzke(jD&dKND`^44PH@2Vgo8U$Nitjp-|o_?JR4-^*ID z4v%3O`D|dv`-3!E3|zH8nEZva{hR(Q>TKWfExC_(8IicH+ke>O;{Cd|#r~d%K zGPNzrZahMOAHB6d`t|w{GTdj1m1E z?OUh#SFdfLFFk2;uESJmu7?L_@IS#8Di$9NY3Ywkbsy5UEq)vLX3PN|iDbV>m;5WH z+v;fB?@yI>FOofsh&(5w+l`S}Tg4uKf*=b0E939@D5t~QWzjSZe$E~(WN0J`G4kU% zueTKic%SWoq1$U81$8@{lx7yCSncRRIB(LWrMbO5B#(r@VEZ;-75JsqKJBK~Z$MxF z0Igq2c#$HByv*bU#%sjCVf$F^^)HAfH2(lrVU2VB($eGlSFw1i;C-S*wv9iN44^nweD32sS1IDDztf%8U4}T6s^k5m&2HPws{AfPDNw)O;<;}aEUO%I zM=G)Myteh&4RakfIPG<_7z6i>l3DZD6~|vT+mv|E$lS8GV_j9-ZiPbfj0sMAS1+y) zIh~>bBir|lGcyxWiC*!WAyt&KdWxxIbseq1UC*)l=h~+7+I3m6hv~bq6;}B~GTW8f zJjUVAPAP%Er0S;T#z+!IRE_s9e2nv1{w~teX!k%B?j>xg9POs*Q*QG?Ogj%PHV!)V ztMhG!&Q}12`?>T!wDvD^gpLy&?I0T-F|-B!Yozea=h<%DmN7;5pWd@1Rpr@4V4SXc zkxsLiE#zOlP~8q{-o(Y&_BYgx<(;pW<~#vOk7?&Q6>=6gavP?N(q#D_Fn&?)1#q?+ z)S@GAYU6P~cRVk>b@rZU&C^QGganW)1A~uB%;{3>Z_c9nIGq0gt5y5MsXmpJbtFsWJK&YjF(-V4raqndU5W5#)dZxSBWO6u3lk(FcKioba)b=-)~&r&@HQ(HeVi4P;L zK6M!%O5d{a=C5OU4b)MkypbaTBzPwn#~|_2xx1|*RE}9AEJ~0n!j`eesGG}oLA9f1CL^BX z(z(wG>;C{_n3s?xyqHoyx_v(i^fuFEyp3eFxVODo&cupAlb@w&%hB!Sl?`)$0;e|Q@hRreXFQ{uL~~Ded^j~3j<5Je)Gp>YlqadKM^t3ZY|X&w-FNxxI7+5 zTBrX23HHBlqsF>~33;qYT(#an3-cUsIO&QmzRzcAH`x(wu17LA10&NF%w1ncCicS} z=RBN{K=kyibu{{%7Pc#1OLeGfi+!j_*Y_^FRh#ai_7&LpFT;DU1KjPE&oW5k@&dWd z7fqK`x>iWb#hkYDkH)=T#u)UgIHE)kftDcmr70Zq_g5+|f2_l8PDjnRx1p>{q}e2j zps>L#I&)ereH04v6>XqksH|JQnscFDRDph!u<&!DVib4Y9xe`o1)NZ&Lo%E!=* z)&{kFbUiRSmTf}w_i-pZg4_XGULe#_ZxY!f-S%({(Sg8T+4rsQgFXmhxz;|wd|iWCwAD%DcGc-LQ%Gso!WpKNw?*Hr7a)A!?~ajnm=nBGv;_oe$nb6 zeKI>&&Of#^C;k=wlQ8*&H(5U5iu!~0vsQ=0`b7BNBGe;%{sz8p{jIHx-w5q45N8u3 z5%|-O!y}1ZdrNmm$k2e$<8tm}#~mtE#^M@6+yl3_6$~iON-F%tLC2*`BW<~LF_Fbt z)C-1P#FZ*?dFnkXU)`%HQc86>6%>EF>br^b^r;^aVS_PG;{N~&Vq*k>a6;e^NeB7U zyuIaDI8r;)mvoBCz!n3s=shXQsM0y>@{BD48oRm90`xU3h`+*_k8U?pW5ldkSPo9* zJvveh;; z`U=5p%&2cu*ZhISGNnB!nC7VJ4%FIxCfY6lt52eeLqSCpQUIcgC;+00C?qJNmVt>y z6i@+6gFvTHBk)~WRsR6hWG^S)m|!ZX+lMD`2e-9YHg_>AG0dnB4gUbvs8ykEUkkgR zmx5}Fu%b3>zU3%7fl#jBED~_+aB9;>xB>#8#{o|UqmnSOqZCrZjOVQ}ScOPjsp&{v zWQ4ZRHk@v5rjfyADkIuE^T?*NrpLhDjya?~L8Dm|4q1Ni&NElEKND*H71Y-EMAdHe ziN`)|tnCvI`{xx)_nu)4p?DajTy7^Ae_qt=LrI@bd^i2Sd|jl%mOd`CxAA3`aMC<} zRlr|zK34w#zJD6}8{tf!v$w~sL2eG0r`l^b2QO!Miv*0`m>e+rSLXG+Y|O}shLL&W zrCqVNHhP7Kj^bNc%K-93akCvrr+qBU}}$mUQY|}xYzFW%{V(ohTxtsIs;!@$0wT_ILO>H)}h5A zQ;j*s{HGgl@NdC(n}l8-uuysVZPv6S_R#|zZ z#ULP9{S`;jpSSR-Hqo}24Cl8LHha_d(X>(mF-wns)}ORc7MKhxk%~>7vr_G)+d#;6 zam7Z?WQ=_L9rB$XY5^Xr((iQdO)ArG~ z+JTJQ#W!x&sS49^NRi03AX;J!RKuEM5mz0l$C@c<7~Qlg(}1T?19s82okbuMZ5XAc z9Mb_-ynFVy^BdqVh|(o_50nXCPHWiL9eY=ge$*Zyx3u_osc8(srqm#4g0C#O91=dY zE!h_Y+_XMB{e*42**+$BbQZ_|03MiEsQ9|y7f&N{4+MQqYt4UP2-?o`;ygDB=_!T~ zcMj^(XZqKu_@Wn*;&5_*cn{Qe#d#IizjN8c`JB|je5VR_hTt)-N5qBRdNY zxyCvC1#})JxHfioWqv}RD*KaOd8k|&6$9;3fCWYG$6tElx!?SNGA>Db{dwnZ$wBZ7j1h`(fY>L9Vgtfsu0pE(W1$gARv6)Fbt(@hfJtFjB zSH9RUA8hy`d0g~rueYn@mB%^es;?;9d0*~O1UD0Tb2_-(SCnD*N3}Q1A8r!>sl0Nk zX)X#a)4BqYmFMeJmBefTL(e!p{j*dDQKsrAW5!jca(LU@(AQz1>d$K1WPR&D6MuO~ z<2As+cC%e8K@hf-u2B(*9Wl*rX>RXv5|>cu0hO1%M3HgRW7BNrkjDN*ilq*-p;LUHVG zS;qsStkan{bVuY7{qO$0I&TWcam;rRg3ZK%{{Twn{@ZzOmhpX-HVY7l$(|b(v!LqE z(WA?5scf&a%RKY`6{B}0Hi=uozDrEyQJp$$MjKDAbIo0aWQ9~kc+fxIG7Z3%t-U7Z zOPGwJPu=9NEr3AiDfbsXLW4X}v>@ONbgPZ;q0*}~iq?K9*TR^jzH8(sYki_p%a5aR z`Bts>#19f)+N@IT@?#rSR|9JH$Kg(~)AX%F7*rl%`>KD3y-5b2Y?Clh$C5y1`F4ZS zn{s7Fw0C=)j;(QXc&)_OD#PZ=^1k`>tGa)NZZ$2QV;g&Q$41LP1N5%zPqng|H8LP+ z6q3K}{uMm41uP^~#(wJd9hlZ-%M#?QjEF2?(rrALRI3sRCbi^djbs~lHq7q)xvE2S zlC+3&*yA-V#l(_Y%M@jI6$SqQK58V+U0&lPWb-C7%C51feZ-It9@T@Y-`b0RwwO## z!)Otcmh?Q;i|dKuxYJe;rDjGlsN|ICT!rQL_Kp0IPduJQxhojx8waIIM?FVoO{!|2 zVYR)xnpU{Hm@0vRnTa@2_*dG$vme6I@Y~_Nq?bqzv8gDzyOj0GP{_u6q^eqaCm%0ZihXn0jy7)j&_m|6S!uqM}k8QypB%lX4cxzfW&YIwM!EZJ3dn9 zfm9t2a{Y>KjjzRRM%*z1OJ#HTFt5|wHr-_x&{ySO?4fXM{x>Qgl)a-4JN&}GRJ8X0 z0Ev8Fm=(_*+094zlSI^Q6j4Fe8$}yvqJn~oD5fx?iYWk5ML19bQd99sv{Myu~Bu?mG%eV2a@i%Bod{2xSNP(DgF*cK9?u2yQg_ty)M> ztZoJxIROM8p{ieKQ;6gWrB5x^zhizVe#*WB_@xw$d8Mtb;an}vunO7ruZh2CU)XO` z_)Fot{{Rqa+N3&$k8Y%xra&YEr(WlpTOwTCJ~VupxmcDGXV8IzO*xTyKnG@~!hT@5 z<2Y44M;+<@SymfParcE%X155>nYB+`b4VNJz~oc+1I97$M&6`wSM{qAENo*tl(28_ zgZg5hcPlE#5&|ZWZB2(c%`7S!M8L|Na(!#E_(kDA_)I)=W`%KO06#&%zG~u0_|JMo z&FFrJe#kx;eIMa|kEcm&u}bJAet(IN9D9oTi6ZjjRUH5TSC#w^@Oo*QYic4{8aX!k zF*9(g1_$Y0tBt5j4Zw~+txFX(Xr4*?O?+@qfWHl{b?9J@>rf7{TiVL_^BkY)Up)8+ z{t9EKOwqyP4-HSIhWpo6q&f`u#sU3Jc;D^i@qNA^d|F=(THFaVy%g*zoT-$Kc=oTH z!?x87HxMv$&ooEgAzo5)KVdux`$~K>_>3c68^x9rTsY#^NxZ3Z?5+Vd=~3cU4w5X2 z!z1P$EAYR|K`4MYH$ciMB2#XeE< zRF9eZ(~aFuO*aG9zFhcK{{RI9@Mn%Zt6hF4@b;l01NWT7PpCbHeQW7m55&4xiLJiV zrs_7=uo05h^9TN2DKyb>sTp>7MkIjYjRGZ7mc4n`v=HDCU3)F;1d@ z8bvj#N^4LAEk!#NZJ-9yH7zSGAR%RS2wN4Rs8iFvP$z9wC29~gcsUD@fAkp+lG zl*)E0fOrGc*VMlhBxrmge6cu*{Izfod~!v2C%{h)L9AK$i^kf3Zzop0dqWD25dpwq z_~NpcW1^c;S1~>U_*O3t_>ba1hTW10uRnJ9=WtJ)XZxU&`TNs+Qh{%-_JYb8N}b<# z*1O*c+sUN(gT)#_e>7Wu_{zs5@90nATpx<%`yZUZ1d-q6#d(#tJv=$&-Zj(_ZO_bF zHYBU}Jm3TP*P3b##gmFYOTZE zd5y6^A%`D<^`?;}dz*HNc7hL?mFv>6q+QmqgRK`XwZjDWPcYus~Y!D zk~Nf*y;X3me}~$d0|xR(SroS6=5j$jDzuX`N;qa!MYF&Ctk(%{Hpb&PAbh-M zHM3!RvQM<-A7pzOn0&^K0XMPex-Ow2Orc^3{{X_o?j(JCS5s$n(MAzeq~=VO&tJy8 z`$xS<-r3-kG;Q+8U#~n?-kWrMw2>rY=-+j^o@yl^P4%rCjI5{<% z+DKRoM`O8irFM+3y-?8ghq#(JqGFO~dxhhQ>aF~ySmu#%9GMlpKNR?$0 zM6HL|FuV-*tzz5IZU+jh=SHammRtwSp2G(pjZHn)qitq}X+F_x%2Y1ipVZe?C7Qr) zB#BiI5bcF}XQ`yLwUkT{BKds_$fRU?R?%%4wcO`4?O`Cg)1#8!MFEIrQ}VV3aazMr z`$fc02-zb@TWXA=`VapAT~BYItT!bZ-x5ezko^6Rcr?54bs5QNW z!*rO2c~&&fZ*xgI>O}q1l+`bdhM#Q;%jR8Lu0UxDz7J8JwVws0--@+uD?-tf%c^Qp zg^O}qRrYab&>sW-7{lN0OL6Jri3|hxB&TP;BKcx%^bv%g_qKu9$ATG0CIEfN@G>o{lm`hU#%gYhx<3( z8!wJ}F~Qo=GM&SdoSOY)(frou_a1}pL_;GBln<9CKm>=t4UPx~bQ04n`+(K6ax zBR?@2td~=sm+__OUE4{vowWMVx89N3CfZH3{ioOUqiLW9ZKG{TgG;uU5$&YgQthK{ zAR^mN3s2id+5m3aO|<>AyJ!KMXxmTQ?Mt)TfFs*LT9aqB8-EG_X4*E?n`qli4E--t zwAU=-y0e-)s3ZZE;b6dy$0DuyXQl`k>E6E;d^7Po;=kzL~)NHK8o@CB{3Y17yvmh$Ipm9|eK+!K?4_b6`4d)*+ z`}C)F1oB55%&fr~+ox=b>HG)rBgKCWZj$rEn%&l%>fbaw^BMLcxlb}SVhnpvP*=4` zzFNr0gCq=}Gq~;rR{N0RrMdSIS0y-$Txl?HTbi&0)%z*2i_c>oq-i^NWauPKYbPcnW$Z9*YURHn$|{A zKPs1EEh>Kwr|v*p^(dk z;g9Wg@bBV)M7PyHvu~K=?01-r&$n=KO2sOxu7|U2_nPDaj(ru-pfEhs)`c1R}3knvbYHEsLNChJ=G~v>aiU4NX4LXVd zMX3PIF-1tdC;@1t0+$qkZ(4RJ0~EBtOj6NKqyf^8uSzKT&_DzAJ0dq?aLG zi?i*FfI!$flU_Y(Htu_Pc-rf+<6bDb6YDNwa_qe9U`9Qw67k>7Bq$75CkH<<#a+B- zxSuRHkjHy3Om?j4ur7+K6;&i2dz$7)SwIgi`b1%sarsw2aeQKC^AU;(2xc9|1#~xo zVT_&GkmL_)z>*e|5y>Xa%gbP#*74NFWKu{XXOm;RY%o5xp{B_l#jt_j_kjG%p4F2Y zi(U+wKXpT7hW`KxvucuB-A5w`(f43Rpq<{8c18;3x=H0?B`f8xBL|=NMM&1- zmpl=kqt>zFnpN`?_joQz`FbB}zoyQ!-6T@7vY;ig+w-Zli@5}vS%G9;gs;i&D+>8h zp<8(uVvctT>)I8LSfp+8BMbr?^sKE?#cv(n+yKgd)$}9$Xirf+b~z~{F_ai#&QSW* z#fS!yGqph(8TF`j6?T|!E|@!ZmEfAMG|eGW6o*r_vUB*>mNGhRKK(7DLB2U-#@8Sa zcXq{eFzQGnf=G_ZkpPlMILP*|KUQVV(iF2`1KPE%Z={q*1d;st#G$_L9DqKwS(-*# zo~Pm6S_Zg2OsgEL3j*?VKGo9cdbqjMVUZd{wTu*P$DDr^c_y29&hhylxG_dqv%ue7 zpNDlNx|xRjM8FwiZq2u^=UK`(JE_#x$E8Vhuv_4%RFi3qhf|7Vmr~_aMqE2(l{q8O z)*Xhdvs&95i3=)^EU@D(T6T>vyn;BEMV0fPECNFMj8r9Uj@#*Tq43;^BFP}jw1aq7 z9mgEgq?%Z+K9xPSoVrV;+9#Ne0ZCSFFgp>B^(1$98mlUKc|jQ>X%uGw zbm?1>CYcN>?R6c=Wi93mE4Lt2?WiXCRd-`7{P#KM6;X9fwk8EK_)*ydK$x1O)N>OUP7#rGLnR3uU2F0Tz81|36|38@svBpn}j5fyVE1w zR`#`d9G4DKR&gSHsnCpi8uLFE>Ku1el^ouo)kPFhPR1cc6i@+06i@+0 z6tn=|Y1D0{+dv#&#V9_};QdhtR<@J*6JIlUW-qmTFTRX!Ke(9!`{38remJ-Dv>WmF zw?f}9`~=s`Uk>5({2h63wTWkx70=e3J}2mMNnWg%_fO8tNX@#=xXF%J82TJl@nU=8Rz(S8Y4x+AYNCNKKS>i9g2s-ho;!!2sbKcaAwAT z{Z#F&-!a>U`Ex)aqgCj^dEL^6V2S|CJ_80kf%tT*EH7*#re{xup44QGmyc z_3nM?VoMhk$QY82v~X{EdFV_-ux-Ob#)}HTdJ;=?q^IJRt1c{{U#A{{Y9$2r>t7)M0KrAR8r$pt01E#A;UJDBTg@g!lt_AnB!WLOzm-IvFT8Tp zk0q)^__y{$_&XQIkBoLUS7^gZvBlla0Y56AyZD;>PyPxc@lr1W{4dk|52l5N=U8kq zN5_=}Wq8NGAFX(g{1bo29v|?H=Zr3OOQ`K`S~b}6E_WyyBlG6GU-qQe_JM`QDKcRjzGD-|9wxT%XN0vqX7WXj z-p<-d+nfw2C;C_7pO5@yb@3C%TJMN&cX`^4(@Ft9aWle?ObiP9*ZvAU@qhad!McBf zwCR~{wTCTmV?6mQ!5{D5jEwWIM(;1SA8FDvzA4(Ci@p01*9ZbaLM?Z0G%)&;^LqPSgcT?_jL_ zo|KX2_i}G|%KWJ$JY(LYSw2+q)o0`g@KI^3=8D7O29qb3fUT(5p?nPT z#d3NMX*7q;IQ&sQ^XEKtq-x|m5Aln^-w`zUuJkQ(*7heE+LCDFK=NXTbg;NTJ~;(r!j9ZyiZ zxME3>il9BPYs{;ovFc&s`CN`pOs?I|z!C`_pjLIv(tPp}l3V6~PHOe@1rlQ(VkiSW z7wcKlKG$^!#TawnBzo3SHhLM?EUg^lmRw*H*ENd`#>s#(ZTWf6Jl52}GctzWSFa&uZX_ZIO?vN>!w4aHDv#GG4q0vP732`!^z8>EdCfFCh&{HP?dvpu6qBO%p(;N6i=Tf;Aw*#Ww@Y<*~g-aA&^ z3;e9%g0SgOAho)hb-6}GCx%@7=i3z{b1Bzt$L;~8O!T}@*)ncUdx zOFg=cyWUB*`9yFy?Og|k{6j2K72o!2w({z+qLl%NBg&lmL}xL-G{LBuQ<2W zqm33L14OYtBoZ8wSB#1Vu>|Vs^B7Eo?Pt#eu%vCwk3*93*3J~Zid37+e3;R43i@KC zw%3lWa_+Xx6nlPc-kpH2IJeg$v%5&`?sm_&a7cj#{dvX@<6G7jh|a9D2<~@p+;g?E zI2;e?Df3vaW3Se(BDu7+Xcs>)M-RhsSa+9A3`DAIZP?rW*; zhu#R&ejNBiP0%#hmMCoERAx>*#{-u>b(Dq}1! z`c4$C-MtQR#X}j)h4~?P=a15#gTcs&!h0JaJu{~+6cq&TW0O zAH|Aq+jGTY{{UzwN^4$vP%dM0?L*d@*PCk#?TzYbrt$Z8qQT5=o9buV3F%nBYG$PK zoxh810nE*oygs<5{j=4p7`wOpw9PXw({}214rXnAw{P)M{{U-1I6Z3>k^ca_if5GG zqw=R=b2Gab&QGDo*A?^U?bWEqr+fhM7?HyH$dMxP$=s)k`W+)INC$VW-%9-O{{Vu7 z{9?B8Z;5ozhuT%bTtR6n&w9}|cD8=$_W=I@D#lmY6IpXZm$~y_hT7l3KMZDa0Mu`? zV`VrYNXIqh@hdDrzEhqCI|}RkajUe~NpA=OC{RQb(;e%QRbQB?IN&hFYtb4dZA5Ht zWE?j^{xvFmvH&?yxIX6<8n2lrO#c7~EBwtrf65A;GlNW|Iv9M(158x6c@$s)UfugB z{5}5wgv-Z|tXu-tT4~Cz&I@+06r4Ik`?9WOVH&9KpGy57{gD0>j}G`ZOM&Anb2^KQ zjQ0niH8)08FLe}sJ@D^IZ7)EHq)bTVyK+~xbXtYts-79aw84{C1VxT1`BC)H7Zz-@8;R z#yCHEx<3T?9_z=qw@+@$w(t*?oDv-N1CFM>v*DlYpYadI*J_$~hlZDKrytrE!)oLE z*gTqB5i2dvono=N^2e1E`W418OcG0O%@nbTGt;jX`ZwYK0Qe@pmo=%M#9k}ByS;V8 z$7deILyxaD^AGJG`##0{Klr}GOl?p5PQv;(co~KyOn-QNaZ$}?OP#tN6X&JDP}pzb z%}pBy$Ui8~7YDUzN#QW-=0;RIuITo*0}?;|RgZb4Y8q^1<+Xi_!#Lztmn~{qRsvwd zPMlZSr|gwy02l@szZFcSy_PNf_nWb#51a{^gDZe+?p5`Jj^oe<+%R9=YFB=)iuBc9+_&_4@5ZeJbv1!A?< zB>w<}n@Ws;-gnD7dxQQp^TbmGn2f5fIpdtt`KYomf0eP07p(?PoMpC$>W9Mb+auxc z#E}FCR82Edmyfbse55y~PZjP~w-8>!C4yy{NXTf&Ad37zSi?MWMvJvr>~uJM4*4DH z)IJ*i(%wJ#Qz9mjtsC1w*)}?eEh&dG|qt~S_DY>NvmU&mGl8QE`4tHaX_=)0kt7=lTZpUijS3Lz=_nI zB(i|}SAWat>0YCvgta!S8n-LB?(Tgn%;x5oG3rTjMMUyn+B;i_E#!?1il|ZnDj&Lf z=jodHOIDE0bl|vlQ}d@zPo;ec`$_69H6v`2Wd`Fqlk)ohmGh3Q+ndcNaoe!6{nCAF zlBL{^`g%bmWn2^)5+>wtmu7hevt*FT<{j81{{SvAR_Dsf0*$WAlj-%Ub7L587y8nQ zu;j{9F_E#IxgAHXV`>r@RTwrK9I@&~Yf*ucJ`UbVHIsI}V-P_o6NdGzQHy4D>WbUK zV6fas?@>uGWgsrl-12CZiH~ZAV6_z4ZG{h*{W$4cBPKmA3$RgzE5Kn>>GMCB(aG~R z4jQw3##J3R1J!Cs?)`5C);8mzvR)!m73dDTD`;Vn( zTHiXT1%sIsjyep~wlcn(e3>P-DPLkwbLmNs6hkNZEs|jJe6j9G>2_W)*9T8H@pBkw+_@TAI+8saiWdq{8fmMavvx6&9rl ziC`{@Wil$Of3sHfyD@bOODHQYN+s<=E!&4&W#qISAh^1CB zA_-jmeJOO?(G8Sn?o-N_D$F?{x>nt+FRCn_du>*aV>aHSJabW9cy`KYPL>_b_n54* zF~G^~iaG)oJxW;at%seHk21O`E`*j4-N_c@hUg=OKQ|+TT$Sg5^(#5h+uo#r54`+i z+MOgC)rFqZ6U_c#ck<3dW1%CpD>k$(O~mWJwk@HOP1)RAktaN!l~PN`^Mr(MF}4?; z0Inf*`^Z(&NDlEX8;#qE>?+FmgLB9xhFJWi`S{2!R~T!kN~3xm_Md$fo||!ZC(Q9S zO6Lb*Jq2_Nd*?+m+qPH8R{2N=gMfYbuQHFumUGz1v02@vLw_xh`^k?mN;{+jd1prz$;0#^Ixw!jgr8VlWBD8@V-;qv?Jk_`l;RbYBWu zyt78aDJKh*jy&M8Z(M_3oA7V;Q}LI?3GFo>7D*?E^hRGZ$O${pG;`$uB&XJ?qe?N0V9Za@MY+qGb<(zXY^@fxZ;}&C}RiU)&!$?(Kjq z@)6EGg?cyIhSAO|C9eiP_C+)8hq29XzUPwW+q*TI;Cj-1p?zx|uSlrA+>>o2B)pwc_KgVtu#XkG1>IE^8Y8r>sT#xb5HwTF+jPzje~YaaYx$^tz$L7ZsvuUdYT4Z)+gPj%5%?_ zf31AE@ZRXjuWRb(hPm87I{H&qn2jz|jO7m%^B;hJ(EMwyTYz_OW@37Et!eycJfH8N z+3|nIBn$D6#%fReyenjSVQZd-FeDpK-RNto_~B(7KN>tn6^_Y<_J6=vF>cCTA8R5o zAa}>T5z$zRe*z?pRy7LQA)9x~Gx^iQZBlyfJAgg8qBLmOY;tkeJQ_as(hggrXSFkN zzbiIQa5*7qB4%jI=l6@zaoG1X{k;fNoa2v5PczPEAOV~&%k58~kkv&)fH2@=%&9PZ z!rYzRO9A>)v}eq5)D`?qHCc-yF~JM|MIwcLipt<)kTKe&Wo^Ln&DVH6y(y8YU^BD~ z{{R(8vHaUX2tV35sv()Wz#n9D!NCoW#8>H`?8h{V;2k*`ivezgbM0T68suN-a(}V` zJbTyaf9$syxbPN|-J01ykgVUtbIE@8C#=gfo0)m$pk#mI$gQujuKeSgkZIyW%Jrmm za-8W`{v46-PV!{*t@hIb^NJS9Xbw{aZR9;c#aLTb{_p8qBFoyGw&H=P*upj~N&TMH zzxGi}_EG)X2V`Kaf%T{Tfva>{r=>61)_}4wzq9?R>!u!}w-y2EPV#-I3nLM9(cYwO zHGjKX3lFtB%k&flj8)Rd_kT)}bjAMf>00WBo#mPaWd8tXuW?8AdVhAcyuWHZuWDBv zkA(jKXm9u^<)T>KX&(;lnrWLU{i!Mds4;?3bDiAqO?pupC=@f-!-xOCw|QLU$jSyq+7lA-Wt=&o5`aedAlG!z5f6T>OXCr7eV-I;$1Jm zo*7>z*239dbym;J!;Rkf=kcfT?qa>|x*s;(Uj3z{a?Zv>lb*E`I5J>^@{HsT-t-96 zAW+{obDB>v7bhf^8*%iY=o|@PqZnLcj;5?ZAco)+1)mtkDkb@N^%>p$Dp@3JI3$p+ z*4y&_G!eF^fAAN@f}{4MbOdVZEA5qW!nRT%6m<4@Rs z;TY5WIcuy>0XLe9ZU#Z~Z3h+l0jApv8#tj=+Nv-Jp_$XXrOZhw5v-4u!e@3*ObplL z@9o9$Z~hin#yMtBst z9sQ!U--7=D60Y?R4+!On0JnQ-e(S3Hiu6Aef5AsSCHRiT;;^^0(b>2XKnpf~v;65h zm{U$NlV|9+#y^eT8u%ySYmHxAyGWfuSgjU8=1kb=25a&AJ@wdnC9K&TT<>tSu-Zv&jE+glzJ6Gsez;E~`zl8i9r(0?sG=+RY zt8E3X<{!C3*Qaw+%B8C+PE&S2H}p>vYBq70n$~F$eBUU}&_9)RI)92Z%f<388Lj-$ zmRW`~@9AH%c7G21E2i4VZ*AfIGB{&RfGw(Y^yyrO#2?wW;pfC_Ibzg2J!cf`yB6Zw zF&nOXf-3Yc-#;j|4+&}dislDJ4g&#>-%x9i)Vw=$rL)F?q$Ag#*1h}omHnCgL;E@2 zoli@7H9rc-aMHKTVDt@MF{k+ADc2Jx*^{Ae*~Mjkf{ds!E$ic~)HK+cj$5 z?kSOkXZLyG8>;(z*G#%}n$@?N{g*w}tBu0q7+8(D>(aAZ!k%<;9XjXDYYEDvRR{2%_sv(_Re{<7Ab`DrG>e{7dWkywP$o|_Zz6!(8PDErp#C1!v*CXjc$dI8 zNpazgYV%2L;Q4m55gQTMgVwPUMwui7Xk}56p0wE*9j%gHGsqMqkvxg+eRc5P{t7YT zO%`ZvylJA_>K0iD*LG@FLH^MMkbg@16XCDz3E*#vma$8t>vp0>;M-hCBa|MzDeK3j zen5H8Gj7LTbGDY+N4L65i#cYsoeo5h5`|B%6p7`M_!;|%xNW3x8>gY81$gUUmY)j$ z0BwJW9}Oge(@~rL5-lwT(;VkAZT2L9q zOKCM`eHFTp$%?OQs9S0X?eq*X!}Q(hB(_)1lbB$ zZC3AGhl;#u2A&!a=PQxLV=9U$)}1#tTJeXBlG55pk@l$_MR-SuJV5%L$~Mxm?g$hf zdgD2x#vUwbrjd7irEt9ST+W*#-YWTof^akMp0(sutmN!_)M%(i=cM>@+(NTTQ)>CR z-P7d8MRgio;WI|e%*d^rgV0wO1;b6e#Le@SP`-c+RqKsdX})VTzENezm)nk}vr@7f zk25?A<94n!4-;QY=4AQViCBEBq+pEKj%sZj%&?beMmG_Umb;ILnuFh8+yFNK%)xy= zZneN);qajERvT3R0AHnHcI0%e6^a*3zGAL_cjcBX{VO``ypb6}9RlsG8Pj@<;3ykv zgz@}_G4m30_*TS7&AM=)s0EWB!g;C}D*jL#un6IMin%w;8)?|2<9DS|n=&t!!;kOh znxtZ69K*R-mFGG2s4n-x5=euAlY!o^-$JmE!M9{%<{S#4Bw)h-068S&3{|E>8leVE zXORSKaI(CSgNa<=AJwu0M-Am^=Eis{YAn69KS#(OR)FgkmwCtG$z zRmwLTx!vzj#UzqQ>vIQ{6Oo1Klk1;Kpwr8+N|Ux%lBDo`s@1K)OLG;(zH7hCyZVn| zQ_EqOlXm51m_r*r3ge6qrD(${{h~QG$0^;lPBPzG&E0NoRHF$GOgZ2hrp_&8iIM*R zcsW@YkwDIx&id(4q>Q92n`7PS>P1+%xbmILuIZTm_i4Zb>0InOt;gD=o6C(r7=5QW zYM1+K%ei@%3}#)8pI=&}M2%?nGDSC&AI{s;E7R7b)Gd)Dlgxq<<~brved@)U>UWRJ zV8S$DN0u{ydYskmCrzJMF&l{+?5JDGz&UTms>Ik|v`IJa^!r3-GAcLA!O7}t=|9-V z;Z2O*I@f$je`uE@OoBLK^8jU8pXP7HK^5hCMvonenWRMtY@ykg1E)OK+ds2MginV) z4{6sjMiTQ_k+nJf_mWdT@C~)qN;lNxuI#LOG?!AhARLaI)i#mYvcT>Yrq=t8NTmB1 zHQBM}a+$w)a!zVCR_&VC`v~^MFW7}Jv4yfmp>5=D^}F^VPFppm9HtN18@)Mf$?y7B z_t{s|H1D%7_h|@*ZBrl0P=7l5!s;N<9y?dfz9fW0@nYq00+<0K)~*lVMlws+nc4a*#A0}>Sc&HX96 zwyc<3a7v1FXdSsK;E$JYO#9Onx=Gnv4e#tJ^bky~<+)PCZBPpO)SS2^sg2G8=c%L+ zm2NQOuH5o7LdH@;m^=DzCpn}s>cO1sb(6LTsc<{su;=FHn;-Cxm7`uday@E87}`}b zRGif!S)Z(CYa540{{UFLsT}(M080HX{g5VGkA}K44o}&TewF#Pe4bB??k z{S*C(u0)>;bbdxeL3Zbnfmu)DM>BuDf%J<+GB~ANj+HcvwTHN-h4!R+1ba#AOXZJB zmv6NjeW&k#lMpTqtG zH@j{A$r{`U_}+kh(_c478kHa}8F@bDowYfsMcG_@hjRpPEl>L+nqx*2I6If8PLxL< zn5QS^6w|vKMn+dTrgRfpjJluU3-YKLt?vQ&c7KUpIMOr=Q1Zt;zz%VO6kwmzHG?C4 zmei5S3y!!yg?(H53w${Od#@JUNBhNZBHzp%$iXA?qp6hc{nPGGgnkr*MYgws6~tC? zEHUjE91cx-v~nHT-IZTo=Ulgj?3Y8*<4yT?UFUbHtZ$1S5iR~2{5#e)>EsLcdv~g(p*1iLLE!RABsitVl_A8xAU8eR$E~o*? zngeldR0-T{x{&&EA#NP$1mjlh~PI&EW+KRV7*vkH^sKI#7ef^z&Dwa|PI zFO9EY5^8#pA_*OG$rwGe(>&MMuXwU#jAQGX^B;h19k0Rv01TvCRTjoGu|_|He_HJY z!xj0sHEdL6?k0_Mb-B9H_OgUF>=Et3tYbFT>r3{Q#{)DP^K~Qf=Y@3t0EiwD)pTt^ zW0D)IcOQ4|u^0#Quf>mv-UpxI&yO{q4c)%uXFry#{aJd0?~p})*uy^E%>Mu??L61z z5ADqugZ7Tr*>HEHOno!uuQi;s)W&+W*O~f9`!@JzM$>)>_* zAm{V0H{!SKSKxmivtDT{{{RT)rIWSoM$~V1T;h}VEck_Q<1d2xbPGDQ#h4IE0pt;0 z=*rH;cMwM$){0H7LX5eoB+t%oiC?lGk9-jFAFxB>{V`V}SlA?r2ex^ypEa)v*{$@k z`E%&k2ah7|B0g_S*X-QV7_hFZFZ;k(6XS1#J`VVeZ!Ny9qua>M(nU--C(zW{^fYc( z(ENP5(r@&_s=;QBx;P)xu&ATG*qhk`l{gLjHTRFiuh=E@yIY(800!$)tSj>yE6<%c z9gk}G_FW#{`sVW9<7`(J@-$Ku83BR8{c4+WLX5AYM>ieEoXzv8X$P)C{VHW4yvzn8 zAL|Z3#-zINUG2P^?U`JjF^n3>4s7ORxI&IPhR!Hbxvh;R+Pn4zBOiDzD#$#wIppv- z=~eCSw?t4f=O1>gD`B=b4cJxOL)K=F7F@Y+WTay3Fs4Kx=QSB}t;4ok(9$%({O;u! z7|HdfQbda|jfi%NJp9Gj9G_~dJeJZ%WZ~zJkjs!U`O}QaBW(qw+rVADO?!vH{{YzU z#=jZuZZ#1I(X_a*5_`zX85oS=LFzGDDBQ1Sea;iWA0E7O@V4SN(0oa8_H|L4TdmT> zN2b&LF<)JLD*ph2g0`b?X%CG&J8^E35g5O-%OkPlg(QB2{uQg>fA}V@m2TG4_@iH& zP$?$&wYOcU-LOwy)%8w;@PEM`8qzFuyDtvd$7f=~NHYqy)*r+P8O=obBi80_j3e-w z{vGi`c*4RP%{s>NI3yWgv_R2(zP~qG>EO`iDjH|U=~@$BLuS8uP-i$bUh7zup;xwy z%ae@ax!j7e9NJPA2^_d;tu~W7&E=%Qo6zU_Qzc8eB=at=Je3FTDC&C(it73;78kmE zksK^C+nbY1n0%xE0JCneaOhZeQcv`uqgxpK>$WM5LiMgTZxd_2BGe)p8a1_wAD%}T z+$*S)UrUIiwgE4kjj|GOSB`(JCnsW*RrNW47kKe(?M!jVsCt5@Cm%}j4;1*`TZyG( zBY9aU8yvSCMSBN}J|5|QCs{{_?h!RrQsOxdQT>g4&Eu^vSn%GjFx0e(H1iO|lByF4 z1mhyStU{UY;oU1FP;FXWQf6rwvnj}I^{&UmvY#$dpDe6vAmb!}d9EWy)5OY!9K13s z4e8T0-RW!gdsvHcCzgrN_d({o``Mm^lD3CeYp5-(Eipc5+CD}5+4@%-;{N~?d2KWd zmM(@;8|j zq!lVuKtXemN8?=@7?_iEKe{Jy&fe9RGkIl| zmt>jzg>1en?NL!8GTwgc~k+g6t zTWRx=7pea6=~eD+vm+PaXB&rFtwnC8KG%^@Y(Km^er`Fc3bV!;hsw%I?d!U?KF+6e z6(xEF^ggv6#gSzNR3jKp8EJ;QCWPc^@*yBgp%~vVOP~Gh4O0sSUXa z%O|Z%<)bil0e6m6bsvpY^&N;87gKEvtak81kfxsu+Zj0W`;fipXv}-j*`Ggj4uYBG zB#NOyLc9=rRaivU_YWhKb|@8zC)8A?QzV%rlZ-2lfK(9M%Oey#mE@mMRubH#b4Ix= z4+FP8^a!_ab+^h7#A(Ps-ZgXW#r|KFW0377IM`~njg8bxg^@NMfz5Q9c7rsMKwNyP z-~c%eO-;2ZscWY)uNo{2s?PSj5C#dul)Ey2h zJ9BSps{-c=+0NATKK0p6q)7HKw)T$QIAmXySoSr}-$M5nGTS-w#Ep%>cO9yt$+1!$ z5Bq;o()3$0e$lGj#bB&PKtkZNA8xt!2ERq^boeye8+#jNRJOK_VTlxBLZ|>>eFc1z z`!x7m>)#kY*72{|ygz5YJ~%Tt+CTInYwR`~vU+El^r@>w9#$e;)3VtWe6L2}n+X(<5~$~OB{w3}&x9x2MXr){880y&p4xbzkCcaEbl{9A##ERg|UO2|KQ z=i0t^_@^I}@gqz<@mC*-dYqNCaF?1sN&U4g(m#nF6?I>lOId?^sKt0vs;c2b6~;w< z75i|&A@L`IE`s5_yNL38=WqDe&cGPch9oe-(6>f+h`#Ct^MLU)0gGRBj(-9 z9^Qp!g{qk;9Nt4Xy;d>)`TT94s&06e!+K(Kf_yJlMbv@=i0sxXv-#4GOB_JKK1tB{1fKu%=moq=PZ{D z3H)m*d`Rc1Whi=|WU%>%(vxjGkC=TZ+ew~)1*2^(6(AH*MF130PTNcd(N5b&+CVmn zcG@=60kpKcX-5=*K}$t0+5k#jw4h>^fIkU*ZLUkNYu6J>3xGB#UO*LyGVI$hqpt9C zM0-_!XJv9uLU5*|W!i88uY4_4?#UmyRg?}l9t}DO-dP`Uz|IdH1v_YyAPxmhB!=4G zdf-p@aKql1$nCV*HSJc{Pq)mkD}-IX_4=jo58?Rmzk;+qFKPn}OC#+aSd5(4!+){g z!+$&M$sX!xtYarE0*_KU3S`OXd++RT@a|6* zc(JvcsJFuz`B;vozfHV9rmml3Jtt-9?4 z0l5Ajr&<}EB;DIHmKXBdaX7&z2EQr)0B?yPy!iQYusVj0&NY=+sA0VRe2V=?_>JQo zFX7LF@3p;JNZ^9rHf71dbB-3j89pF*!t3HEk2Sv(-IeoiE*a5C$x+Y`$O_G?yADz2 zX&kJzmon zT5Q-$>rlrIzMy)F{a5%)@$bRk7c^Kdbd6#YJ18$}EQ8HM=tuZgmNSD?{l;~_+2^f4 z>?KA>IIWepjP!NugU@=%@h^+KKj6JSYwc@Ow6V8^OEX+Z0Utr$r0BXT>$eu#4~Ory zJGmAsdstdmXFLF-C-KF8H2h@o!~972t>O<5=gqgcxp4;J{{Sq3AwNJX=-=B5_SOFY zg^6iDgnSn(+i0$K-D)@>&;H2cg*EdRgnk|PpT$Lnh2iZ(QC2uvBZZhA-A^B_EzIR8 z-&4{50A?SL()iIPtRUwIrJh)+L8&0_d(;wQxKfI5*HW!9_VlE)7P(vuTyJb)Y( z$Kh73)WJzYSC3QnnY8l%0KvQ88K z*3Mt+04zb%zQcj~R}b+A_R9FP@ew?5C9lhl*% zn)Q#_xAs`q{{U!BQSRPZ>@+2O&3z_a+~<&){{Zz@=;Xf~Q{{R*%I5(De7XJVy4bPNv$LU(~9V5jNc}YA{HsDI^#GF^_ zrQd+OFL@7@K8Ir@c*YvtO?ZdJ{{YyBz<&^}+UrWTZx8DWlN|OqRVTLP=}OVw<;qnO zyGZ=o)Vva#W|q|Ln>kqj0K7eqO2K$_4K=q(XxJl{``8|wbgxACiQ!)t{2B2yz8%)B zB)E<_GjDkk5@ktu$>e%4WW}ZLzx&il@13aY`yu*wUL*S4Ro< zv$jV_*+Bcf4o}v*ABTPez4)!;EjvZg;bU`f$r;=?0sZIq0=}p4U;GnOQNGrf{t~TN zLuS!$X*AaP!~XzuZUk4>{{RL40QfiHK8U)0hYy={Sj#4%cY|>3c;$c?7yw{nrEPfA z-QAm6E~lG(F8zr79pKrl^&b!t90Z7uMbz)560VDyRz#XaEBP z7ywpYwW|xZxH@#6eZ&CZeeI^Xi@7d*HqWZ-Q?{WKN4+-(0` zi@9AyIo;*wk~-CUUmRKLcLpz-*+c9qPC2f3!+t3L0EF7s^`@OI;0y{7+fF+X>slJ6 z#*=+!BS>SF?Kyb{GTeJq0nkUN*f=yO1e4dRQ7=wfXq*{&Uq(IlJ?uQiu1 zhmzgR=D&Jwqv|0U0Q+LLKeZa=1bTd4R7e8uUte0Oe}8FYziQOjG|Vul2IfD711t$r zT^<vRksK=bH216ZnwaH2P+R8CGnGZj-Bh4QT5c)#kpxW{w#xEm(yS#xTuR zE%cjz4#HIx9{I*V9Ekq_`t_WXdZLzvZwy$!g*2G1C6Jrh5bZ`Mb~}?@CGU(h==2@_ zAc8xH=3g)DvY=*j+us$FsA`tlR*4Pe@9!l|-cp{d-k9{R04}5BYon-=4c^cpg}Ow! z=RWl>ZA(t(_4mL{KT)_EmxiuCv!Hm3HlDvS?>zD8USY3T-e@vSW2wZ}(*^k)uLlQ^ z4@&kOI`~+vzL%#otcrKfBFJ|$cl-gX7hWvUJWV0+*0T&3QG_B%WX4WExWkZZmZcca zW3rYeaC+*GnEXYnd6rEqY&iu}xH#%-fV#LcF=SGx$^w@koqY-MGxl}Vf}6hwT*Y;! zkDu&!5Ay@m1U}-ve7?_^&`7TY@%*ye$S~0`Jd9VLIxYvVN~~%t#KXSJ$Rxl!Nlm15 z8RDS(Hsw3GJ+W6N+7KBI;@M&cZg{3FWUfKvdep@lGcA>4a2ZJ5#xYeTfWai2l=FfJ zITf_fwZmlKxZn&`PqO)bRu?S8KR+S8g>G}pa~9&^>$8F|DRxRVy;PmfD_DpKxMQ38) zC>?pKUShG%Neogd7E=^#cm3XKy}gFnWR6X%BMr+T=tXtV>2o$qZk3ea;A1slX!6ME z9I!_45y9hfpGv#-5zoV=xbmd9A%0!IAnbe9yL}~OW>$}SsoLiUE$Ba$blQH6B*ZM9 zSs)Z;#(4Cuk4f<4(_dRhDgEBev}ugzwtcE@J6RZh67XfVqLDJ&vPmNm9!}ui-qq;7 z8t^RhYH$fajvxxEu;|&qHPPsHwpMY(Jcjw3YeSBQ*1C)T04_U35pE3|qoWQm;ka6* z+@)hP?2uT*0!Qm(`^Oi!f&{c{HV*q1JjC@Xl>g0VXvAUCI z@#mnb8>ZAXIHa87Af{6pY+*-AEGDdH>QPT5u$#7Mo!pjGKPXYq;<sU1`__i5tQn+vor6m@TX**tKPbYqDTJXPycYamw46C^FxM!_l{5|mc_)oz4CY9xg&8@Pl zp#Je0VV|irx~Mh|+;*=`Xpag~=52|zcB5@OZ5wHlAX;6tqLz>i$GsbKOV)~DCfYXB zsH6jS(Tr26DS+B;+J4$L(gB-kDfHd608vKTU98PB@T3P`72$4qIXN|f1O()#J9J26fWWyoJ<3Elll24Za?J7wOKdmxHMj51L zJRubM3(X-?KYDP8qq!t=PE`UdzE0u8uR~si`#<;({uBQIiWV040KKi7eWv4sf&my` z%nEntXE}18ael}j3Zw9^gsi;icHP`4nqo(DUtC23s))eC-~n8R!+#Hp9VRJEVLZW= zQP_4B+8^DiVs>C>aqU3qu2g)<`+EFRPXc@yn@hKpCGM{O0A^jS^KJek^zC1k(MBPS zRFc@sW79SCAML;KPyQBX#%)5v3y(8N(I4!vj9?i60m%G+m3;LpZE~u><#F#>$6ZN^ zzq~b=zIOBLP=z~*#^F!@0CT7vDGv8g%d{St9V*R9tr5p426^jSJ`>ZVyS%v6%77PvIh3^?c@s9c))%!_))gB@J zqBYgBhB<8XINYthggGWpLfG$8d^i1${wI7!hTeFzuk5QCcuB6%u1Bsq*VrGi-|Tg! z_#;8J@kffSBfZzI)n$%3lOhmCMhDWq!cZUqVO5D#U;v|mRqmy!FjA@SEfM*Rb^iba z+VS12er$TRl+vQ^^1?SNh6vyVBB=5yltW>(w6aO<8Gh(NPJPXg`AUy#Xd6eAB>twwf%1MQI|Z4q$Nr8$4d84+Z*;}e}cXwU2jE?%<#SYW6J=Kv&o;k z^yyw-@GHQ-@U%WNXgU#%jkJ<1v#2=v7n4a!`WZ@bP;$1Y_wU&6_9|Z=+r{GV7(~gU zwhgt5f;`@HmL8bT=U<|_2Zi*X3E9VGq-n6}_R#_{>CW1G*f)<|MRsa~?Mt5evKYw655qu|GvU91^z9c)wpbvyi~)VrG-Mo ziaG!Q_u{2nR&HxYx!nk;MMV_0ob{&!C2$5sTw8S+2ON9S8N9!`ppRbF7d7QLPZ@kI zu<>@KV|jCLZzPapDV{KT{cA_U{{Rg9J>aAbW2f7t(I!tlVo>Csyw;|vt4^~lAw*H* z{b1-n8mT6%mhs`GH*Uv*w49x^V3Jp{uQlB3^1~kDdJ=lqIdOjuvuicI^ZkPAHu<^7 zL&xb=-d%R)_I0!J;Dj&A@*IwzrDbY%dRK|zvbVpvdsjli&h4a};F59cPy>8Pe!dye z?r$^{S)^hkWsKyzde&B<;wI7jJ7IC+OMQm>_cF)#m+|zgT7)`RfOJyUDEE=UCS1z< zvPtP!{wAIeh@KhM?CxWc-QxlXV@#OesA2iiWn72i1a`WYgl2sU%eNM>FWK4?fX&=- z*0FR8d*6q?8Jkqrm9E6dCEdG(>A|QxGvGPC8u%vW`6rW6BN9n%chPadz#mGRPWX-C z--=du`h2$yByiiaTxn)9u2cia_53OWbFa4efn(yW9!YHOJezn>0}}Dc0|)8Jtku#M z_rtPZB!)TUaF4Y0=Dg$KPKs>wO?z3>ov%_5Ry%o=sFF3t4n0Rt!n)57{95q;0E;a) z2m3IIPn&3{ckTzU`qL56Soosg$#bWGEf&^9fHM8*Hv|3^bZGB!F^%^>V(fYkTBYIL z7AuIxwFSc6iH_zDHnJ~lk6KUoOe3+nxPtUX(D<&dD}EcMx72 z_86oFMdiK!0E;!K+DF_;!bAKh1$6Q(S}OTEYOk5OeD?nN^c3Ab&}nTfbAq?c9_Eob zSVy2W0*JH~yw&a{#Fq>sf+9vU({?L6GVjobSiJthw}uOFiKty?dms5`JwCO|>AoF( zS6YqstXg%OdDC3?Y#+HzxVO62^_bxa_LrCDl1($ENFWHYB@Pz*&!>^{aZ4 z4KCL2OSgPq+(G8t$gTG zpEP*e!n&`3^^1)=SFv=8Bl2BFgrg}vcXq6iBywZ}x6|If>z`87d_|+aoqcci%_i^n z4ZU}61ZUGKb6+`pS^b{wydN5BUK}#&x@);DVxTm(>+Ca=ish9XYK1&NaaQ>BL{{U=|CL1 zXmL010mx?C^LC|g49OGI=sHGG#^a?+%8iD4& z@Q*&=S{5ug#xqgL;f0I`^7kJ5Yt`4of?u0+7d;h!T8aEO8t_U;4^x5<=RmaRc@4&n z%-&y@w1b_>ds86NC52=G)H5CzA9lSy>%!1Xq(~nb%IEJAJ;!Rq{{V!1+q1NK}m9LA(9q-7lR&vEsxy|5RXpKRxs5z|Z9Ja-qhp7OO^-Ii~{l7wkauCbjLy7ita~>6j4ekfS5E>sGtN| z8kULxZqr87PNIMtw9$%n6ad;vcG^v*fE%>Yw9~OgFd0QI(@8)BAC|mBU7qYmfh9-@@8`7xJ2E_vJ5n=m{wolC; zqi`?oBRJngA%;Y1C5zyG<18LMZ^0 zQMA*5pa#;dEffGzMHB(}5`h`o_?OzypKf|;5v&EWblM*wT zr%^86$(~JqynG4pTz(zU%_=)bm#aQBxV)D7N$%u6b;Z=JE3*@lNjd#gD3kYbi~tuq zan}_d;2SIVyZTinWKvwJ!`=5}ZU}voS^A{} zD{pR*#sY<1qaA>!?WI)(Mml3W($=SV81>OClwLBa~UErpG@MR$n3E%kVieKe$K}nW8SkawJYqe zkqYBH?rNc^c)EQ)7H6`OMg#7~a!=4wxU6Yw+AsFDlRc}pBbgdDKEzZpX%!xAB&^ww}bO>2NSA%o^sMeRf5)!m}vk zBW9m7TM5NI&9zvqQ2`sUJJeENLK_5>rHXMk7~DtaRPW}sRoyTMMNP^>Vb-i}t|YaF zWLcAzLOJ@>pCl-MdJb!!ztVrScj{V1(3_ID3_2d%*CTPI_?Jl37JWwTPMrL=m-B5t z)QYj_QcY*Mx3UQ{&OzW*Qdz?^KQEWDhC?9f?_Bkth^*aS6q#?@T&phOy+^HL>mE4N zJUehK>}^HdHtUyR*Kc7#Ct3Z8a~-VF{jABm{a3YO>fQ~DRhebFl&6+~SjXEPPv=%G zd{A|3I3)6qriA{u_NNH?`E_YmFvv zxi&M%=xHym1ey)d(Aidaqs(%FgOS+&71ES>A!#6JZmhGPD4o^MYMMR8y~&?SvopbT zz)J*Yl;@NAP{8CoKjRC%Tm2tcvy~sqDWBkw^IZOe@Ynk;3$GAbK-PN1O)JM6AN7iQ zDX&S6bicEb(8SipGlG&Y%&prM$mzEJCeyAw$xquLl5)ONa6ao-~f&4WzDce8KBo zUx_?jao}B21iiKrXg9zw_KZJz2G2&QeS*X9rvCthI`0Z3n@zZ#S>?`3eJiK4jti@M zEAY{~y1&_*j4J2(^{TQPZGL#|l|0mpB$2rLvZ)1J!&i-G3bG-~j~ym@?%KN`2E>dmT=2Bys&)G`$E zkIRvs4P8wIWYkjO+#Nd7F)Yx@)tDTC`c*OPVt8i8UkutC%h$#3q~AN9e1z@#R)w#X zZ!DUf$n!*Gi)8NXIuFLLT|(EFhjJ@D&@~Oq zPZ`{oNs^AgUt0Qsb%6wMi$&QA095CL{vNe+#JXOS;*B<4D^-BaYUn5PBm3lmjIa6Y zQ969c>7|I2J}05_WQ>wY6l^x3xucqED--q04+H#V9 z&797Fj^em2I`hsA1CK6v3Yqi^vK;`XguIsX88wbbB`x;qNQcIa(bs6eM7C+oY~txA!}9ExLB4fks{ z2~}S>I1BQV=~qLQ+En+=F>K0rHsmPa1p=^j0*fBgCzT;QD-7nkCb$fb8!3>1(R$W( z;=yy}tkAch#|=zpIW??%%)cl{>T%!Jn;Ocos7V7aVcN7l#?~Q(ie-U`IO;&E{{Y#^ z8gA-I%BeUZew4{GZY@!_uw9Ht1Ju@a#6C*yk20_Ej^oz4DG&%wAIt&43cQdit;MgB zcZ9$n#h#%509u!z;~TRI*6c$diB4dCcOI&1y3zI2XkjK_G2ey*j+MzZffHaVgkztZ ztyzVPQH2Vs6t@fajZNQEsY{hu-PJXDF4<#&%9Ug0H>P_JYR`@mBPzV}pQ-h!V72mN z&Ueb^pIyH7Y6!;c^i{3m?2cyc$40_6F5_m!GC4n`eNFo>_mypF{3B=d3$7dg@XJL=iHTSoNGBQbw`6fqo!(vp^doSowuQlEDth2laqVPqt{K@*-%x$%D1PFvA=|hPoxwQk zPKzfSFiHFShw`Sv-y(JX>H5;_9&gOsaypLG0Oczt2wX(G5=~f*M(xqMupEcSN{M$m zs*s~S4m$hPuz||pk~-6|EPRW-iIC)NC*>F&4SR>|J9hT}02H;De}+qBf6BZQC2pZtED#U2t79O zS1M0ObcXGxQBI%&j0##dnqVaqv{C^mrK4$}1frIbfC?z3pai0qY4oE6QvoS<&;>e> zAApL!Ywb;-p1ZqMyMVFV<(q3V{uuuN8Z99~BV~7FaNdo-0kmNF4B3_Hg!o~Q5?`g5ac>8I)Oz^E0rV|RM+AK72wtbP>m zy`)VR0-z*(#HCkL<@G&3q{{_{Ei03GP6yyIUwr=n!AJfpe`EMRPw<7Ez+2rx{K=6|A|?L-6JMQM ze|nf8FByKT| z^cl`vs^{p(?7#5wJU8LHUzFk~#7Lbvz{#(nI0S*ywPJWbLmD27Z3zk_0B0Xc)x5ld z#@0#hCP*TQS=vbs6e#XZC%I5cF+At?j`4-Rf&LBnlT@BWQkJf(zl^a257xgRJ{tJi z^WoQxw0{;@HZE;$S=|Z1k~8<0>4W+6+P;?kx&HuZ`)`U`jD8I8-0dcfXEy7rl|Lly z(`Y_`*U2$lMHD3%tgNfFD*Af-RkHxVl| zeM*u!ADwnBfgw@(SLAQ(m+=SUFN6LeX*w^4R(Y&7Ig~xL%1n6f-oOg|X3`?m7TrIz z3~MMKIgFfUhML^opE6vt=wDd-)8kd$f@-bir4^K9vlbuh^HF`F?=8fU;sMulaB=Hd z+~_S_v0N48b*l4S8-+2egyWuSj1h}y?o8K>H<&OE;e{TxOYFLSp1){&tTPTB-;B}& zQa$r|iMf@RfWosO(;5>Ym7ZA%;kT2Ds&r($RGwW$w@fgeS>WcUzw%?ZTVJ*qSSOZ9 zJ?RLB{{TtUFPS#oyeOSW9cwdCmg7edTwlodkVEr^g>Y9MwWFumYW8WlFGbv7VG)O4 z#-_Qt)NR~}tRuLBP8n6XQ|U|&I!_rv;%1mbBgY~rF}Bkjj_Vu`?BoxHzd96rUI&v62{N zk7$tX4xLw@PSxMo>MeN;Q!6Bqu;Zn9exIb;&wYO`qXI;Ok0|}@ntBd;R zn2Cxe{vlK&)YirwK1n6A`CeDu<&V2cb*Qet(ab~5Q}abA;MW)6pA}E7Y4M4Xl&dsy z2RLPKYU?9No8@;&WFN(!nP@?K85-Au^gH|L?$#gd{Xqv4L`X&_v8;&ffBs3_OmCMZjH*1YU%#~v*nI7yMplA zT;qGkpOp6?3gJ9mEyk&1X>DnC!ul(aV*v8N^s7D-xYkAXp$?}i$$e_+wipKL_bh=$COl<)lg?$oXZ!AcLN{KgfDlHzv0ai+nAv>37ym9;S=?-9Aosus?b~ zTHVlm4|8YY19@evd743KC63L$^kuy$(sU?c*RQUxF5|krWif`v9z68Vt!K&?GW2-$ zi(dmlHkhV8PQjE%9nV=5bzjP)@XwDdd~Kv%+skkEeQMrf_cn8V=I5&YDzbQoRq&UI zEwq0TTeP}!v6c-%Iw>aubu4;3cV0hjL2SOubsKDs;vc&@kfR{3_;+yd>nJ4AWVj6#{3AYD zC!9_8)wE5;H&pEA|29Hv>msJ5Ij?zEeOPs4Q z>e%+F+>}#?OSjYGio!GHn=`&y7pq9ix!RT#Hu`keG4mv<%M@%dLiZ!r@U--GFco#{NPt`U1#L0#{Lu(uHmmE6}Y}J<0go^|bNLA#M%$0hK ze-S@gk2F0+wzrE$wXuWDuq@0`)%NnlN5m?)$pw&3HdE-(T9Uxi%Mm1L55 zS9(S{gn^K72IcV8?Ow`roNNi^$r6W%yHwnkBZE`GGM=p(1lbqU%tc`~;9?WQzd zJedCggjR2iJ{$OV$1vR7#S}I=iu|j48ti75zVBL$Np&RG*EW|5*6_Y#LF?!~m7zRt zi*FQ8gUf$8l>Y!5kHmpcw}XeIk;T( z&&+dQN-nVup(1HIg`b)kOqUVPGK#t4xo;JG8?n^plT^@VTRX;OSnbq&hZwF|Qd^_a zql)P>%&q7B-Z9a;_V%mFrIe!<1adJ{udVNNOW7^8D|fb$U6eLHLP7Pb2-_Ds^SiDq zmd!m*`>89%j){vShT2E`^zTtg6Wm9;ZvbF7T$+aJV{Ns-VvNB`k?T+`@beg~%!-Y) z#%Q-vEKL(i@ciqZ3YG6kHM+>e#@l65s^8w*ijv-J2Yl{P!N%J(fhfF-aev$ zDamHLif#iVke%wJmT>Ki68``w$okf!F6=Umm^`jIG&EniE3+-TKZQ#idzcbfF5s+; zOY{4#wJdfiX4}?0zrPJymk{nz&z9fp_NZpHU8vBKc-njJG>UHJCXg%a34*;3ernt? zym$@w4M8HWoS(#1vAA@pE|~2s#~d1{?qqa73v`e8N`5YAHjEYRY+bM1cN=&gsjs!I zbqKE)e0T$;e6RZ`>GtvK9xByue6Z^jFhcFf$0U!hKc#&IrRoq{-g$QNs0W-5hP{eE z3FBfN=FYzu`qJ(8sIBe<{W{eC-RnaUv{SK0(LfENpG5#NihU&jHi~x9M$teGq%{4a zkctK}j%n0T18FJr-Lw+KJt?&&-YJEB1v`a=t^?xq3pa)@bI?XjdJS=36e06GGk!7u z04$sNQkJU571!?N=y+em2$uf<_J8p#OV0f!Mf{N0=RTV=u8#o=87O?VJ@K4ozew*b zn^O2Mt=k~^rqbqB`ry~*&V~zVFz!{{+qWF^oyNAmy>c9vGJVoChS=CDkCdDN?MEA= z!{L|Gj0RTD7ik|gBSuzN-H6qOMmzh}*s;5bUzqRDJawppd5l6L#h<)!^BR+GW55|+ zneRz1>2_hha6r#vNCRgK|qB zyV|TS*!Q!mM#Hl7s*uJoI+p8J6XxTo?^KCn*;Q1M065$>_dUN{SEc^THwM?^q82|q zmhx}<HsLBjL-o^CPf}#98dz{lLC)0 zQRWI{3%A;oFSRqw@0xILdPS{=Q?_oVESRTnpat^rM%rI6eQ5Iq0DcK9W($0$%WEeE zv6G7R-`P*$?7lDY=k~itzS_z_h`VwNZ~?C@)<1F~hTV6DP$Q2#lhVIJKVpxCr$g|y zqfHQ5ocXeo&nKK#x-*WWZ{0`Lehbi3MbYAcS82vi80NNbFJjYeC%Bn{MHFnzSl|E$ zuWFe5-8)y#U$-~Ki>XE!ec4y>8zL9eAhVsF{D)8Z$OkBP5H)O;tUzxpdp$&tbSA>SX?mojEe z`>CgLzwGV%0r-#Ny{*2t;#;=x{(~>?e6K9E#N)0&#~+SyQ{uj3j`Xri^ z!En=D%*5m9I2`&{zuVizYYIggEO96SQAPkB!?g`EG`?9lk%v*~Nz1X-8d`hWvz*Yp zAK||R#c6A!={B%QZo6Z6qZ^bT_K!8UG%omNxMW=I+aEwX*Eix_P{FNf_EE_kYb$)x zX9ww7o-^^(J`d1!3$%rp!pf1WbZ0yY$+x+^i_rM)&hu7l9X8kPq5yZ?4gkT%4t|w| z@e9OSwZDV)OO%@4+0r&K$0y$Ccps%^{4=%I{=suDtER`NL3I1q%Whjd3y*BZ^`?e3#!vQHe&3{fcrj1JumWNQ~k z#9k!RH0?i7^K293xQ$1A^vURJxA8`?rua9)v0E}QSzs{59C;_(1M#Z<6VvQ;T_WB+ zJ|CWD-782r&s>v5*qbHPwF@5r=xIEXw6ViD5nIUnn{o^L+y=})K~I^ixZ_O5!Ag~b;UZ(H%jhlkeM+C~cUsr#gor?(XchIMw-G#GC#W|DTexMf+P93~HOUVq`A zh}s9l4~SCR{f(dOmZm`LIF*6H`qyFo3?cs(HFAw0f+O2<{ne=SfJ(Q;ut}j`HtL zus4etGh0M0)b7EM`kG*Gc$>m@+N$n?L2Z2GFlOan9gTDPhla0g?|$8LI_k1}G z1FGlJtLc9bE~VG4Ebp}0N1qnqGNwWwt#y!YvumV ziLBzB3yXQ8JedIdgjBx|d_}10mXbB?x~1CO7$qCNe0qxRbq^2e`r}7&ZW<}$#?@1V zIrSCD_|wC>x`vZTx7*RCWf)>sfmxlsou891m1Zd|- zE6&3Bb?=PVo%k=rcUpvV+}uR#G)`d7d*jl(7$8X6Jx0z!Z*m+frf{WxlnlT=Fud^n z!k37{7&`^LgC&n(8oLy~hgm}v!Y7!@t>m!Wc^k3M9qO*Pq}zD1&k)F|aT)VC>yhbP zygnkILDe9#)M1Rg!(>yh-&5ETKpI#69)e4@p2FX4>?AjrAjU_i#c)16y74ZVui0xl z6||Rdv_&-wZ{jRE5udGkTI!QD(thmRNQ?KO>OQo(ebidt+bv!p72J4qlcC0c#-_u& zI2|9w&2esJzPGrx7b9r4m2g2k5yeSo;W&H|;_DmROUD*^g0|~vzUX2-O-JHp)x0aM zFlz&QquhdB(Ki^I)PFj!4#Tu74{D|1zZrOU#w#4Q*EzUQBo^S{j9%O*tQ1EI}U)jTjR7S__r`R(;PW@8gzfcU^0 zhkh#Gh5SG~L8i?G)Nd8-xZ5PH$prM~rDs!dMR<=9kWtu`b=7vh@sVN-~xC?B$W;ef;t~slJfby zJ*h0Wu#sY83@3C&e0C5*b3o|e$a zVz{}P8b6yDUsF=wSZRJJTTMhxx7HU3(1wWMh8+m1`fZKPt>v88v$gyX7q#-$a(ZxS z2F2}C*=^$yTW&vRK^n6+-s9(U&pdRZ#?`It_j#UKn1Qz)BOM2|M`w9!t0dlfv@eqq z#>Z$X4-570in{365<~sj7hw&~F;%c#m{-?BN3pw-Q6y_0`h-uI=e9pT)~i_Q52D(_ z0-5zmi~Xdk^pVCu`Yvlv>}jZL5?*XSWU~PkPe~>pbp9XGtVs-?+7mQROS^7XUbsJa z{&^IVL-jH=XiPeM`-F?R_75;)IPNJfFJraR+UEGEOMKyR^SgfzKOf~3K2L~81{0rxUD@rriPS1xK+ z+HZ+`J8=fF3O%y|8dLJN?@()k)IJd1TU&|r8@9Q(L?5}hA2;A@tZ5~@)drYCh%H;q zxn(>P)j&13W2rol?nALziuq%ys8LeUo5HN={4DwU`a6i^p4R7b+=KTdUAQCA*EG9~ zlE<~se-`Ehlk7!(G2*WZ=-xQBSg-BzDMC%uLlP!E{{W?V#=HAIthP3Ho*2GlyTLCU z>`FKv%DLS(wmlePqc4c_>s!McLv5my7yba(C?(g|jhCrZUf!)r1 zJ*yth^!bcfhIVX>b_2CTb$z-=X5m=lWkW8>8vg)njY;`7r=~Mh?=F>?IBkg---KKm zqj{?Rnh4S2+`vVBSvLnxZK$E%~jOy zB;H|xw|R}U`wE6j!qPiiw&YdXtf!KD=CpKM12oYz%Bpt;b|V{9a!EC!T||1v?ALu` z2C?FuKJC=BGs2-z#@#Gcs0A!!83RYHqfoO0z1;wmL}R=v{66_wvDv3 zW`GlI8)LX*|zbUomI^rqVQ`o97Qo20n_5&J><)0v}w* zkD~LuJ$w)R@niZ|N#+{o{A9tjd!Tw4m>TOx)JIr@$V!sYyxwQy{Hi?$W94T1e{|W zk6M{M3>MTM3l#(J9B}T^n8u)^BsNo4gmHrS^eG+684b z;KeuXl#MQpQ*rN0_JQeG?R+V}ZTFy8^EN)vX}@Z$kG2o*Q(E?cT-p0oA-b$zwvSqA zydU16IgPKiA6jX=$9lzU@Aj!a+yyY^M&H|i8a~`R=CE4$dg7RGfggH+<~jqYDDG(f z(qCHV4xzW+oA&+G2RYJ>Nmrqz{?s0|%bVlT!3H@n+{Kw{$=2=4CWQ2U&4oIiDGIm;@ zTK>mB0%Nh#bc?IoLnY123z>w2{a!xqKDGDKTd&wm42sE&V0wC2pL`?mygFrol~Vy! zB8-0s&MVTs?L)9rgGt}1`91#t1q}E{Yw+jdRkpdN!Q|U(aj|t(!U;j-{czuM&$R*dpE2t_c+H zZau4WLAcX=Goi~qo*L?Ri_dlhyGTIf1DfML75J0HUN_ct-DXG@Efs;bjb=i!GkO#4 znv@5i_?r4XE5ozA*Gmv+JebZpw$K3;m*5)~w9##1SQ1%eQf9a(mNm|J!|aXX4-Q&h zUo@8yzwd0>@~5~ayKAjxdp#!g?5#o=S3kSX8^07?0m)u!jpE-JSXr&0BTZu|W*Jg? z0s2={uHD_}x>eQE+bc_*#gGgET+hQJuU$i_YTAS`+sCNB_*Wk~^x)^UZTPlkRJXRf z)M2-ZW(x7K86&<00y8`pqUx8L#ove;2w+RqDpYki0|eAwKi7wb^p;7ie$a0bqFt+> z-X4|OX|mbrx>|_kX(3j^H*hgnT3(*I)zOyae$`-(-bg&)=dA#8`X7a%Z5vJh0Ev0i zwL>2_5iU4AMr$X=(`h<~_7#I)znk`{E%t91Vh#&1{14||({#&gVpI|fDZ_Q`(zvTX zh5AOhu7AQsb7i*WCCq!W06TDS2Op&{({q>b-^18^3X^G?Vf#&__dax+*k&yHS2^)R z#GWwIq1V?}v~6cdzme>;%b)b6b~u(G za#)PukxI;0Ju|~HYq}1g^XnHe+}KW>G%KH*_;?IpTxo>9qMg>T5$o@!ns zi$>Gs)dlA9bvmuBv#$~!Gg-~zEeFLK!TUd%CDWaR!b-Gl-}0)zaa`(rY2iEhEM(OD zKE70{KGP+zBXg0#1Kia;KT>T&OOERP(px*0T$^?{IrXhg9d5ik0$UsDuaG~Ok{ll` zdxCrC-nOnK(|k=FCS*vbY=Btdzac?KEe@Y|rd(UmAgLmaKNf(GD}}-qoD9nwE!iXLBA59$?=szd}7o z9`pfg!#*gA`_7ga#kKq@QsxN`2q55}aZ=rC*MDr(BZ|-@{!+Ym3d03+{QB1Jr=Z&3 zDb=m5<6Ff;<`~p|@lQ}ktz&367AhRu#>aQc@lX5!dS}$q0@j1#gRWS*-A9;}imUZ% zp?Be#ttNZ8Ry)fP^Z9#l@t6!rZ--x&JRLATI0N7{kIOcXQ}CMi|a}LON({j zs{!|^fy&SD_e$`tm7wdv&Ya197?mUhh>~#L)!ykBOK++*`MejlcOzK+ z_y8e6-oA^%cW_^<*A_Po>)Z3~}@`AyL3_hndNDkuq z?&jA}^DXRznm@}KSwDr3v8&pJnYfKMTY_Xe6ku)OWYcc1C6+r|V$p)9Y@i;zaMg$5 z8;wUz*EJ0$>QixOsBRKqaz=C0@SrSSoc{o8M{{YH(=`Z3$Pi#L9S(cdJv#GNf;pho zZB}MwP_l8)yHvg)ywt{>CB>8whyo|UY+l-h=s9p$`Dy|%N&Pd`jhD>Dy5 z(Gy6P=`2xx&Shzm-X<8y>OegzT{m8XP1F|B_6aQ>NlQa3@(DeSN3Ce{-{SX7&Y!KT zVp!b#j=hdLRNAy7QqtgySXfb_+qziGCfPl5DuZ&Cv7^YcNLUuXk5F5LK)?sjpsgJ* zRC`%9BdSKWw~h88?B9=J6&p=lhj+dQM~O0F?1EOXO>NI9p;!Gp zZ?&1Rx@TkjNBQEeNgB_q6=AjuSiI7`iyCy0pCE;GX>LeBSdw|W;0bN2l4zc{~DXTm2pwz~^%u0r~#`D(Eh4$CNgL$fPN3<%g|hy}7vY z7Uuosrkb8-)yVm2SPFW6pCyi+{gW~CZ|7qq^Jkse{(`K>8Z3(OKGs|Sy$2OCp@(@G zX=ImTOYPN<=4yL;G?`7K5(>%8j7SUbN%<61zSLz{W3_@Zw-=AFZRm^6PxnLf z9ITK=ffwuEvUH|#b*XBXGj6qs%oeGRI()<){Nk-!+dA378!ASbF2(-$G_@ITR%}H?B5TQ+^1T1{41XrLmN!mIKGNF_W=}uG2=MF?_T+*>o4S_GS15R-ed&x{`a*_ zqiXJ|lDJdmnGec=La5Im`})*-D4i=6Q6C>!>KfLmGtW1MwFG;1Xu=p7On>82d3ye( zs$1EAVqeVh4mX)W8I@(qwgxaVkM*}xgD#v@Ylk9TT;3|+i<>*V5gJj0`ddf9jn%& zw-)|-C+|Tx^BaOO+cjbtnedVoU{`)|milJ2jUVwA2JJte<^OGJm^V)th~uZ!r9;BCs9)m8A+3;jn_hUPn~J9$)KfOx?KH`^ z!;}87RF38Ev<~!!;8suDeQ7?~>TyoNb64#Y#<{Gfz5f7enfBqHPHB^KSlr{jDL&Qj zn#niIO#5){KwQ{2TvJWZtcJbfqBprdlxQonVXpn@t#CiRSj~Bl;>|+W)DM{6`)9p1 zuEk*exc>llfq2G%xx4nP{{R(Wc+%)cpYh2eUNk{zx0oV%9jMMR2`yn9?Kfy(;(RMBOb!(o5I6B9}=V>`0 z3Zr=@*`Q<%#ljWH=yO)v8P4sjIL%VkCL%~McH&fRzMRsQ#&X#GRrnvM8;^&2NpreS zByMlQyGFhnjd}k7z^G6BAzE$*LAFjm4z=IOVt13ap)D>dI@5^XwiCu`H@aa{EspLn zPX5jIpxVr<_NFweaK^2FXOHgGiKgO#*rnz*H_Up}`w0H+3upe#0m@}>k-vtGvNdaq zKtG0`_FkVY0m@?e6E{jcnS0jX*vEb;{{UnIr%DH8VEHZFWYP9kZi5xQ_F>#+m2Fqk z6bC9WKF0k`C)rxM2DDuC%_rH1WuQ4xf%Yb9clLYM@7ezV*`w^^`?L(;z61D99TUUx zygPO(g;2eK;=N(8s#uaa=sybO{u%gwT?fMUkWc=(quk4!<2==`ANZ=o8ZeEjKczX_i?LnyFVx+^{g;+N!t!Vx|hwGp4Wa zJ;qJTXCQXtiiyFENCzjjO$^er4B&&*5I?0TQ#;0?RkO(24;5(G(~kN(Z5MjSk z-oDTMhrSz)Kf~i#D1O_iHWEf0g|CUk531^^Wd>alvPsTAD*Z+Mhr~W9@Ex|GfJJX+ z{{UwYjil}!O*rUdRqGh}pHS$w15eXpjYiY_My~F{^WP+nz*Ap1E89!wUc)e0t%CL1*!i33S({xWk@%_E@(g;`kiZBP{E5$!ze-FpuKY(_c z%zWOv?28-`vpBau#m8~pm&MvWoz$8OumH01f%^R5cAcIsAX3 zYL_<+Hl-r6t)h%ajCJRst^?!8g!PXVz|&i5D`jY`ma_TMZ38Y&R~Y02SX|ieHQy0v z-U-lkY4oczD_FuvP&Wg|Z%}K1_#Liz+nzsT30d>ib@M!j-o6d(De9&?fao(o-m(b|- ztGzSAzZP3o)-?#OJnM3%*^Wxg4g!JOIj)1^2ah$K3*pT7R@Scs&oEU`GqyAQNARu> z#-0xFr-uA_7m7SnsBgNsU$qTBW&k4qFnH>7^seK_-Y}C?_(`qmdUdk0wVvpbNXz+% zdH?|ilDiY$=D)+eOT;>-f%NO0Uf;{UY0s0hg?PG#$GEJma@Rt(_@1+Cx|+?l5j+qx z@EDwJ#d#;ee~6wk*EF@4RMNE@YYSg2!6al9kS+mTr;tv4e+t_1kHZ@e6nL=ez97}+ z(%)8n_L~Mi&a24>-mS|)a-{5g_1BCveIG}@zA>smpD&ijp(t^R;65LGdXK~xk6@Z) z+IrhVx%~CpxPy*A&w8zIrpM=N%dFk5q2X&=6q+UFy~=&{eG*netEgUyD(E zM$>eSK*kVUT}^DzJ_FmxISa`d>DH3FVQ+Tlq3V7hovtN~^!KG7HE zwn^oW-D8}Z`E$qL9lTAU>JeYr*~t1_W$oHV;E97{<{gLm&3jIp@d{F&!i^W<(eR#=4xeo-lUc^uG9FB$ z(z&Gg(G8BZZDoC=JQ7?^BZlFL^5xGt&-hoRL$6y+W*SiO;zBXIf$PtuJKY73Eb$kL zbjvl5P1LNstGF)-wHrQMcEtz=LcU9P9$9}IY^OM9EC zAiEO2_$1CYGWF?9@ur=7;oUG^>2Njgn8AFpf~dVWA6f-&$1UP78XpI+F zNEadFbB;chcSXLj@vL!bP&-*fKy;8CXX#nK8S$d{+gHD_xU-Vp8yMOfk1=v2UPlCV z9r0TpAJY$qbT_lNfL+^K?s!vh49lJeN?>)6>jcKOH@5!(YJmKk-}r~ERMjkJI(o-x z5<_pe{o&UH*PgG$xoxjf$63?wEX2RQMqn65nZX;l=Dj~bz8__Hr;(gwNfd4YEQDt? zfaSE^X75kd;^Y4Zvc|wMBG!MBfT!UqW=JDG;-KNo3clloEZNA z3d->BiLX-P>qWkezSU}*!;y{SJP}Ma3p?9QPffV9j@a&K*(F(dApL8O@b`@8(B9J8 z?#=%IvmQ^g8JTipZ2tf%?KM@4Mb$piU~y}7erZAbr{18}qqV;9{nexqNajEEfip%h zaC3o*28}zNNv-Z4?bpo_;xts?vij0A$vk56$nGlNG+u_ezXy2A-(GVJ(TJpX^I~v& z3=O0n{8qDSR{Bn%Cg=L6ej0_ z?rs3&DCjC00}sGI+j=y5mYJ%?KG|#K{g9T)Y=g(sAXYDmycedA4BTti@cB3Px2q+= z9b);$;!mY&d``0Q1?Hz^sQ6;_Uhz}+&}3#!hbjOysjE(PpATI_b!zsLYj!5q={9ci zXJLX)PCr9M*=5}};?GvRO-9ajxPY7=6El}V^NT$)s3^6 zB#n+)04L`482t@2$=K8W)LZK*Zf)Dk7q+W#k^36WzW&j&@fMdgxnXTODvh6aBd%*7 z!X7NqJZGg^rk8NB>JUJIE!dBpahtj_&{L*s`%f2XjGG<_E!kOj9AtIJy#n+!blnDPNd%U&$dDob095|~cBWIO zwyl{9TU;>4;C7+^02*$(Z{uX1#!nzaw95-}uBVLBYF3u|MA3O$zG&x8M;&U0t)|5oxN46&+zXU(n2aTJm}u#tHAcAkQ*=`%+k*<>uT z&dABLIUst~wz{>|G+E3ufepk&GC0EzZ>?eI`aCA%PQ0|0A-jZm6T>+qI^d1tr9-&A zPN`#7oR8rMUp=cgPlTICZM&N4ZO7eLr|N38uAtU>ZRB%E&3PP#FE1Tb^dhgrdkvS^ zA$}Yt3Xy;_&ox6LhSELq1Z|=gE47CJo=!g+t*jRN4B|7H=OPtV9Gv&9Vy@Qj9D@y# z`5g&4ss=Cko@t}|u)CkA92#P|1ln{~_Ez?hu41;2=3n}0+@E@D#AaN`HET_4s)s4C{g~ylkZf=wX&UWhF-%!;fj$%?BF@*92=*`d%&aFy3=^|FilIR&E zQa^+rm!G9sveR>>D>41;^!|LMzq&X8dsUgE4|{O=2(gbXax?P!3PaS$)*%ff7O0+6 zPBxN*KQDaJN%n}|Q5oNFBa3uZTy0*2)x}nuQn{Wpm4+>eoN!NE)ybh~+TJw)nADT* zPjgE_+{~WdXeW-|(n1sOG>gyyQf+ze?4cPT7MYm$IT)#=QrFI(a6=AVM{;UdR4%Rq zDZ<-~p4iVc#6fD24>^&Ht8+ZE`v5ytdweW*rysoXT#u$|eH}{aFeu@Sa>zdxG}vN0 zY$g5{g_rTB3_+P5ZMqBpnkHSddC(jc zY><1Y=~QN2)7Y)RiJN!;;2&{XX>mT8a_kVbjHl=4?zLve7VYiQOlRLUa@OIHnB;Ax zlwh~6DS@Kb)^~~Yc`MIWtnR_E>3V5!d-+$)XKX1dMF!WEp1s67wXwX~aqJ*?@! z?D8{Vll!fY@WoIY<(fBG*Bh6Pd;T>eUp>6a2vE7_amYTxv#n(Ew_9AFI#pgBb5ar| zw!)QodKHry2kS!}&1ZyPDJvOto!EAEi+|reB!Hu@s|m z>sr5L80q>@EJtC@1LZSUJ?W0eqOEKFi`tK|_Q0TaF+90hx>LM~eJf||TWQ~B_M{xX zW+&NS)})TlJxy$_vi|^fo%TfZrZXe#hj$!`qv9<*%csh{1~~kyr(0z7s@kQl`&V3N zj`RturhLiZ*xJKZ*DZT2r2hclM!p{Sv1k34@q@(H*}|Kw525D1^wVv8j~w`dEPdxq zztq>nAGAiEZ9YD0$@f*Z$h*DNALeULh~kgK51GY%#mCAp-+1+@7awP1!{Y^cHYX??st>ulsHX_tFj*gZf)3I3=9+(ZxnC|6aNfD* zkq_>N9Zn8UAbU^*>e2JNX-(XY>*#94N=Px5W3=QG+*Nf=xpiT;AxLH89_FQNt2=Kp zZ5ax+NKZlS_kaTfK9!ZLt|N{4AG}_^#HG#xc!I zwjx^}s~@xD3A_cPu;+EEAN+Q`L80fRc`xk8a4!BD=rRtUWnbl9%F9r`6f8IJqEir$ zN_W}n&{{V8P;?cRA8K%f)s3|Mlz^}0(dE^Rv~8twtXJ~se6v&SrNuje2bb+j<)2EL zibAmulzk}j%}q(RfsquZ>@_~xLbUD#K3}abmMTrSqL3C5{EQ4?M<0iJ__O{BIq`US zf5Fxs3bB{{KT>Ve?dl>@Mn4n$tLzO!REJNnp6=nqa72aOnBxEn{AK;3{w+`OgW}e& zuL%oU2R8O==?a_!^(QCstlqmB)OTtq^S6y-z(fH+^*kQq^Yb6o6Yj z$6AQ)SyyVZ4%@3sXjs>fNgydEc;qtR)Yh%`IQ-DK>(lvDZSx@e-zjcRDt5D;`tH|G zwnj7EFjZf2af&>G_E$GN81ZQOZQikP%F@bP$^)rBgjN3lhu<8$Y4Fl{-@^Lj+E}_L zd@IUsC$0^BkMJ+{AJDHO)6a=T#G9ZJNo~+%k6PqEY|q%z$KkGsJWt@rWEy-Y7Z%{| zWzX?dKXnl7)!IIB@we>-@gL$Pxr<)$P4&g2AN4WFQ9tjI#dn{v_rM)*;|Gte^*d*K zEh|ruNj1^P+&h4KlV3kuE9w_k_R$g~k-}^~=K{ZIzh<9?_MZ%X73msflp!XTAvCPO z0?bBvs#3DLA*AM_j`G(}u<&<>;L_}(@~mysg##T)=kqmztT&V5Yg@QuX*EZK%iGrp zob#I8*YybPY;Icnh_7w#vOKPEQ)%y59w70ylklhFj;W;h zV@i>4FRq|jA-7UX@=Fjs#U*#RX!aZNU%)bW(^s3tH&?3;jk#@16O6MF!!SL$&3dnb z?ext%P}1~$GUM%baOv#~F|%Z68Ryoy&xqa=yZDXp#`?!cnXF~AxOvN50-0V(TzZ_= zzrgN81q9wfQ*4&xtVk4n6O{KCzKw}GlzGt;_J`4COXW);D7xp(Agm-`0Hfgks11Ffd!(+I`YJ4*B zwf_K$tR#x(Ou5lDO$4NvxP*oIPs}~?JAG=8#E$^@!t3J4{3iYyk~uVM^Bi7WkAV46 z!5^I^ccAn-FA_GJqx>b+HBS;rS5^@-Fr`# z>1ViyP;!uCXolq+mDoA}NayQRx7?2BTk#*_SB88)<83cMzl|lgSp2<0;nxf1CqUKR z*nekD;)}gy=8bfC^uW`Me(c*2c_XJCe+u$Hh~EuU$DR}a0EE5a7CM%parQgADM{Na z=V)~};j6UKbe&JZG5B}Fw`2QjP1I~8)30Sz!z!GBLG(~@`qgW2y0JHaykp_d8hDe$ z7SYcH@!HRuNM#rYjENKwKh=czCq#Qhmz>uV4o(?O$@fM4J@dLv4(P^x7>)jrAg7(%>NRlQ8elh8s(q8U_ z-7~)M&WmHIt-iCSTpzO9z*0L^Y{ulCNHx~!`pwH)z|RSi*~gU87REhm=I?~}n#Y7= z@h+8kE}^vY1e$Hk$%x1e%8qz$M-}M4G4al=qDYq7MYB&AmmSQE7kPNd1==t==`;F5zC&T{$h{MJH z7Ph=GH0eFmkVfzxPR@RBOp5E{k4*6evsqp2xrM%A4(yQG>z>s2AF0Yor+>mhq@!yv zAf81NTgS9<$5Lw4lj=Hj7Hsf|Z`BNGGJV~nrg80C`iF*YTTErs<;BY(Nc`L|QPYlV z%X}H)Epqe3`iF(JsMgwT8GnB&vHj||D8r5p2>huFL(?=(ay?2Zqh|82qdQxu=hmX} z1&dEIYH`P#*wf08bMq+YHA3Bf%F|10325AW%P^`OnSK~OQ1bRNT zZ>m_BWrNIqjS2oAde56nYkP%TIf{j1O2~2w`eLm4cG`u)YF6MuJ_^qqXM#OPy;_s( zSJtRJ?VFnmA>-GI2{_GhG>;4GHW%@T(WQ<_e6`@7oPM>pYYmpI9CNN@isCXhXOP`$ zJ#WK9UKaM#K@HQ}qXaRYcARuQ>kq*2y^f!KXp=aWDf1LFaLbOv+KrGScSpQ};uq7} zV->}@+IJp{ky{eR^DMUSCgxm?{{YsxT~^jBR*P96L>_Rnws^to{Ht}Mp6VDbtfW?c zStQTM%jrpKGOe6bTivX8n;lanW>5xK9Sw0G@R8m4cgNbkm2+b(ng!I!9j($PLc1Vt zPo{HThcG&wm@GVrbByDF-k(fWIW6ArNx6ntfRU8CgvZ`qgdf6zo_Xt0>qEIjCZX1i_|CZu7%)#8u)7S z$w(jUtcx%^6}jLMUG9Zx7xuK|whhvkh@tQ5E0p-5;OTsQVP~h=T&#EYF4Ds!og`8? z0OyLc;QOs++rau=#rnnluVpJmBStp-s&V|P?kx^~;a|ipH(Gn`1><;c7UJkalZ+OS zNJ9bd#dKaW`$fI3k$E5Ptu5h@O!2N>89O)9vh@uoO0n^WhBYUKJ5M@Wi@2B^Jd%_1 z?&F@T`I_vLPFdGcj%Rq|XkI{v__8yMe@ZWMn$tp#pQ^T@;rlzOTM}K`955d%6(9rn z(&#b;lKRqS^AH{2_s{|C`+6mI(VQqb2#S-36mG*pXF8V zH4A?bXg16r$o|!b%!nQ^M;v}Mcuwl_I~$EZQ%%=Uxr#8|WRD%`>;{M1BDm5kT!0H3jY5W=L&*^r+);9^iHr zcJs^8wCkJObZMg@C0(C&$5MY^(w5+6>37=6Ym09XBvbi}HeB2Kj@7c-U)ra1vp{~; z8DBDY!HnZ09-NAWbt?<4JYQJ+-g2|4?u-YeSJE{Id`F_iezWFy*u?I=1CFH93zBJi z*O{m3k;WscYL}cFRFg@%5voj!cLa)?eqebS z{Hl}^G@dNgH1UfGW>u6(**;?QrA-RAzPcc$pA(dll(`fDqY6j;yC355;te-*w6-LoMK3I1{o4P#?kZ@YG};&4T%;I zssZj!DJ|P{n%D?%4gm5P;&ug-l>pr8!xIvFF=;9b8liT3_<_~K~nZD!BQ z3t*3}PiDnd;wA-ThGtwhVblt0s-j75+hh(ifZU1zW2;9b5eK?c3$beqrrW>3WKMrWTUU?Rfh< zhvh#?Lpu=&?ZF&iieE0P*y_>VNwQ4GD-3+yGwoN~1&WM@9dk@&e=d(MrrYg7S_VVq z(dE>;XxeE34%&9we&1?crkD)dRqxdKE(a$SYZVpH{mUNwQV!?M(3W3_+VpY{Extxl ze~X~6i+^iH`#MN+eTDl{gImce^kUD6|X^GmPmN~4Sak1XWN*5HQBnZ)R#|E z8`R{}i_v_}7(a3g&7Lm@&AgTj6lbC4ljV_EjDo|C+*1|2%Yd!D8?hd=^^@jRW1WNo z!@13BZ*VdP<@W-h1r$m0sS*>0IQr7Njm4e$-OA#kcJkP?ip-#Vt=JLkR4qxP4$HeE z%RL9BJIoBSbF}^4#-UjkcJ?7MGFRH4%VV4eImIH;ByW&Teq{h)jtxovu0is0>y4z+ zEWT#_s?NoJUy}lyzb{g(F`iCO)7pf^B4WXJi6mi#3e2OfcmwdwQPv`FvC0X@0PuLg ztI3}z7Uv@&bCK*Srm9c&duN}MCW&gbGm-jf`z6dJ_*>!mGxGhI41PGTdj2EFdilrp zF__Qrw?!@g06eje#=erQR>a{Q=^?vl+e=G9*d{6T+!}QNCIu}NQUIcgC;-J6qKaS` zqKYU1tw~SCCfWdP6z#NapbwG%0B?_shrquJXV5hH%4%B2?grKXtYt}K?Vg{Feqy9D z46nNprfcrfuptqSC?kqw3--RmyAIy4FakYjI%-?qvsj*_pGD4jEtMfAsg1zJRH27ox z01FS|b88n-8T9=;mqu=zhfnkEUJou{v=;H?O*3uUqt?Gn{{Uo9hAH5GhI(r>9#zfS z@0gK;lhZVpb1I!8kD&ZFYxXsF+qHAY(-@`km5g2_@Q$mePKzo_30$rYfMEgVsx z=8^?P5U(@Xda~{1Mlt@khbm4eEC!wD%V1 zdUZIbAArJ=YNt1mrLRqECAG{~k`okc9pC+|{GzeEQF*86Qp@5^WT-`jLLvE%7q1^$ z)7364V{7QOG7{ObH1GY=ItuaM8DBrf9}!#F+8Gl}vttbH(MakW>0Hu%4@M^y@k{$_ z<1{uCShHJN>Q2zw#L5){kK$_A_y?hQU-EqO)uYjjz~}2GQ;{2o~ua^^X|gz{Y-@RSyTIg`lLd zTwd+f^&QX^jl&}_?gwh+d?)egyllVPklU7q8CuFn!1>5vK45xdnuEgnFNgjQ_~PR0 z#CN9P+$Y*CT3q5X$EQ8{6QxKV`QU;;lc*1D_RKK}qq_@6ZQ*D7r8V^-y{w3C3pU;e#yn!cM3t>O8j z`$<&Wh3pGa5u9g-R`NS|r_^Lwt}bBmk%v`cJL0@w;qQigbKwt(_x5`K0G%$Ks6`~L zCUT&XaQO8nADw&Ofo;>smH|JVaT5i7!y!+#Cy1|)x-h`FK zdmc0KtHVAf@qfb|BFDq!vukqGPcq75+Enqt{&m0LePdLA_($f~gZ-*V3^J(%1j2x% zk=&8iy${4X9-%jbE+Nt&R=ZESg|Hv}pRHkhH@KTx&|*ziA1e0V_`x@vxH~||{5Yhv zWS%jg_=CiH55>8gRIYInewaqUin{yt-km zTsV&1f%&3FIT=2NvivvUZ5B@n$EtWvRe)c*CEA{R*G@v8ezl$P^WiMI#hPmtJ7&MW zhAVc3o92zj3RL!_^g>oUt1k|xf%Q#3O%uyaI_6)r-rB3=7iHR6LFv|+;{N~!wx0~w z`hCs9U&bAvRAaff9PIYC;>y<1GwwFzb)=!MIqk}<$0uKkJb?iqCH)Vh%JO&Q`(LG_`r z9Q*59w}$*re`&4RvPU5eXC!>a!?FYGU45^b)-dj6jdupZjcz1~ z_l?7pVcb_U;tvr`;hC)3YiAZ$vUyD-FUX8e0Q_-GX5F5tZKUfT+4s53q?DC<9G;b@ zeQOjAB$lm!{{ZsL`u4?R>lSfMV{mSi#_^~s>Ny$jnzy3DW3{!0=0hsTG3Oqj9`syh zgno0}M=(y91hB~mjDh)euORUjpRV{vUYk~mS+DKB)?^F(VNdX5xUX88JDoj@Qpn$B z1O=IU`ew1bR%MezyOtFH08X_cXvQ<Z7HA~6NbZn!9;5nxHH+X; zccA|OZ0T1-Pj7EO`ajH0)jZ;__-n=1o*+ilB8g$Vv~dm8C-20k9et~l@kfns{0;Fl zRcY-B(BycVe$0jp2RZhsL8;rDrqlHiCgz_^c@<9K!XN(tU25EHj_FX7y@u|&TxWo5 zKT>45((dE7eZpAQ;wZ;oo1v<{5Aiql#*Hgn#pT^ux0N(*Fmu|d3H8<~VzaHhY#}&k z(E!{%>Il}~R`A{MutbHXKn`*?FgXMK`qqWL{8v|!+Yz!=QAo~7sKBf zzl!W{V!e;-`mUKOyoryS%Wg+nk#JH5EIv7b@Xq`6y_coQq-Fu_ywqe6Aq z>3mtFX%BtjeST{gZH#w&y!AU6k_p<_>s_YRnrY)VA85C|R%OY`;kh7tdsjK)oi9i6 zc9$lLbu+9H%(oDg;gyP>KMaq`q4;;E>KYD%b*9a5FRra8K1TDBW9|A-J%)H+TCtk= z_+H?o7s!tGoBmMCpSq^6_|o3$*TZ)g7IDsIx0*MPZ!Q4HarDSFpW@FCT3>%-_?l=% zrT&+8JfMdgvUvyj{uR>OJXc8$qXp5D-td>ka-^Pi{pBYET&pBku#_sx z!jdp*w}$O*G#w5-F6!bNsAZL*wz!c`IUFG$O3#zT$)Ws1w(#GTm~W#l6d$-xBZ_~- zrqn;Nbmh`Vo+G?jCRF>;g+F+Hw8=FrVYl$Rt)|foSCW+5o;URTs%xVLg3!t#SnVX6 z%bh^N0)LMc7m46)dq;{OyIuCp1;HH~xT!TObnzF4?rbEHk??{>UJ8+n8e$);GU@tr zY7GF9bnr_n4tDz=rYd-+v+)&;t?J0a+2PDnA^qUbY|@F=<4?G>nS_E{Zz4hIk+*g# zhlKQY&~!1Q$af@Lf-yXheJNW~lP1w@ue5us-8$<1?`*+IZJI-tRXuRuh^S_`ODl<_ zoISK~N(6E!$b9xSnlGmkozhjsF1N?Ml~69o5W*l_Ny}`twuT!yl66S!8{nZy&@5aZg)& zc9K|K6U;owtVU1M)`1!S0BiH@{FwaA{h(#BfwvVRhw@1B*^ysoJ#pJLa%GDu%7A3m3C#rj1tOV{ejh4tg4(y6h~r>kMxbpE;O<-S+dx)|o3L@z3TU zhDDHhilaQ9gjDgX3!sd=GZ@*Ik(K0BZEHW;?q^lq8tJLDT`$?Eu2;3^f8*cCJ)}4*T#gu?C z62`-Y?d)h7qG!2|%qS~)Y`l?=m{d(XHzkd%(j~^<^$c)6l<00ExB;z)*`@0udeX}+ zq}LG!3mo{*o&6{R4=O3Pk{-(Cda~pLNppWas8+qU`(#IinR#G6b5?GzHpX&((+@^* z)KnJM^V_2}jmplA{{Sqc=K_E%SWNN5{*LDI*tYGgaO?E0!%x+P;)R%bbEv@t*AHmP zHPXC_+I-O*XQIAFKdoK<&}$um$C(l4#zEl0Wpey2!2;3@@m>Msyf9pwnKQn<@ zN779BwiRP1meYzPMu3TuNM$F_LxQfa-m6`FL0k7B(0%$0jZK?9grob1sLB}4o`4QlIxjq}|7QQ4x z>3^Rw5!;3t>0f_*5dFKnAL0)Q+sCh4&!y^6AX%9sEgJwj6S8CcoM=(`@@m; ztCiS^?~e8HZkeI{Lj9+FZ*g@D7h3kGJN)xDe7HwoPe3USb6adD!7Vc1#9kwPH&|F> zv5=y9@}}bijV4p4_m3R<*X&k_9hZi@FQRF%tah-$YPdxkK)~eUzA*SN{{RH(*8D%I z*=qhG*I|v8XeOS{1<#lxaN$YsfZKI*DE7rV8r+g>3)4VZn3cdaE?3Q!MjmY4iU!{6Rt$(Iyw(sIQ z){UD_Qw%%CbMo_w`R`AM{u8efUHHRQ{oauc%UneAak+u}y!uxpv}asVM@jg1p~`h% z6?mrdYioFJN<^jh6eF*G{M8SLS67}O)cieV;i(?t$^xPY?X&*?9?o#?!`mONYipLU z{9?48Egd&oz0O%Z3iU1cRjn_>cHRrp+T%#SR=V;gwpGX~r#a|-G5Xg(F{xL+Z&)2Rf0HO*M$#PW=?q>dE+9Cfcq z@#n;=AA+9|A-Zcck_~F!HF>xS%uX40pkO6 z4E-`IQ{i@xsei%;rZjrGTg?;Z<&WM)1YvsqzV%$zVan`xJ`M53j-leq-6u}d=SaX~ zG>n4^!=TPp=)83b|M0ft872R@axu4%R!mXE2~>d~8xF5wr?h&IrEn5`{x z#A=#p4~(f2BA!7$wGE1kiygNqm1Ww&x-qLjdH2Jw0oiCe9;qIediPe>8i(5jtiug$ zE_UD%oQ<`K@rS~?{+Z$nFA?aMa$Sio65ee+#zKNXGAQZCy>|W(v$e9l*Q2)#URlKD z8@5h(rg-|-R9na{?3~FQk}PWqpY>zAQ`}Z0ms*R%deqvkrD)RH=~muwxPdat2*E$? z8sU5|YvJ#U);fodd^vCSZDKp7F-b2Dyq~S3FYY*V&v8!m1_>v|v%RZdZv=GP$^I?;fW1ip|J}i7d@dtqKJTVlpBt9LUXxjF4 zLQ4#QR~6ms`YxZSURY0SAd6DB+DMGyoj5A4KN^muU9Ao4KN4xyx7N|z%q=gl9Hx5Y zbgqWtJAV=BjSbsJccxu^)l>IK=);c2xE~*QEs<_ImrOq;n!1E1Efa5OFS*r&3eNw~U_Lvn^ZsU*gufZ4@y{tMPMO&`Sd)GhQMh!fx4+p=2S+O4#I zE>y{$^%73^8rsKAVRmM*kok*ps@obo7qepWqEf zZC>GT7TuIcWazQyt}Caw(!}=uTd~;bxxnmtf-4VS@@2D=Pt@&A#g+U%MDD#Do`V!S zkIaun)U5UGHq%$KnJyuOq-SGsuvJ^n64>beH`R2vk8GDR$2L%K0YC`=c zKLp-u_O_R7wzn4Qv05?V2^<=?;++c5R?=kDE|5WWY2>801MfKC08L3-od&5Ly^K=a z%WB40aK+c}ZO7|VShRQ1t^JJRYj*?8h;pOXuX?RCV&V&YTn4qcL2tPB6+^?2!{MD; z^G4m3X}7|xdZ`@HBU0g3<^~r?t!Z`2HZlPozLkrqY8Ki})xDL{{fZm2lQbM)fx{8$ zTH1ZI`aI<(KWVd_h}z%s%+rOvt@Y>FwL3&)Oo*g${3oER120@u&|_QpEf(Op@@}M! zKzS4lsn61^+q8GqcUP88y3T7hWC}BfQJtrrwHBRm9;$9FCY8MFIsCaI$0b1PRpDzp z9a*#p8|*iclQqAi=bTb|6XtV24m@ukjxBW}EgI8R)74$rx5`gWK^z_pW_(KVH;KF} z<7jnVBTfF%(B=_+sbcGv;GQ}P=)6^^Y5oZEbyc@WpHN>S;!rl_)bihzbrzv6tZt^a z*w9{EZ;6!Wb_PHm)P~@aa&gEc1M7N-^44!nK;012aOI&I~@{W4x?t9 zM2tkCWZVe^?j1c%Xk1;v71PIY9wCu;1;%pBIRd!f2zY+az&bvqryKVc$#`!PNn7qK z{{YK8dmraRDH|F-xY78pTJY@7uN}Bsh#Z0f0y<`h{Ay3{NgU99&>xw&uw)A$TBvSJ@M^P z_-1t1v|Fg|0=q8jTZm61jP)Zkre>HG*Kp(L(khPy%RnmiD?$?w_XIt27~y zyqxTI7zBMQ7RyxDtUP%xlYeN&&R8=Q+)0S#!1rPvNC)qD0F-LHmtV_m252>JLuDz>R=yFHw)SNp?a!g?Y7KiywbgW=u--Q7d7XB*zfp>{rpaq2pRxeIW{JcH zzT%_*0If>ER?ud%{>Qa~%5Apx@%e5y1GTf?-kYQ8GHC644A&-1omE(yPxz*3X^~=u z;$FPCQ@oVoR@|*n+%>qnLxJK@T!IFII|Pbba0~9igOuOqzkBUodoX9;@i#N?JkNda zv&D#w_)og{rfB&KZHH}lY3i`CWKbM+jx0pI>XHDN7~0JOHs$BdJynQ5m*~5#VRFmL zKQ1tuakb<)lSI>YDCpxY%QSwaxVP?xNi^%~%sG}qJ@Rxk?wXe6{U@SgB_RM5lD{)AR!S zI@=UuP5BN?eBW|LV7T^4SD3bT2Z@-f@Td0?U(2rH&9n}^UBGe;7kkkPH(cbxDJ{sO zJ{>t!o$IhWNYgZtLsd>w{7WE&Ls;XoDP&i^{Zw$K!g{FK7q3QlW_}1D9IKRU0a38U zd0fTGCkh{hNVNJ?FywIh55@0DTVlq?+KM6W{y-ABEi(w7RE&c&X8+}1BZ?_s+n}mD6RX50Iyecv zo~f^`R$8P7%vk@Z@#Q(Rk5D=)PATe6nlODhM5n7;?F8$SY4^t-N^{~gP0Ke1p73cQaeVCU}$~#(W?4n1Xqzi&p0TC zrKWBmr;QqVj0)RF4pGxo%xjW#V@fEh(9Hl#iNCD!aR$un=m@OZ9I-_+sL; zBkTKIN2WZ1>(iY<@JOR-{Du>wS8VF+@Hg>m(5Fx zd6N){L;LI#upAWqKoaqt+9+W#w>-!~#fbCkpL%r0Ut0x=HhXS{dmDh0A>omHW}aIH z$KGQ$%fxCM5%J*Q8LFLbK*^YYO=*r9TZ}X#|DW+$X_`*&add58iA9ZtE2vIHaT9%J-R5@_oujX)>xq%f~6t zsBq*c@aaN}UAJBA^!`Kf=K0<^?9vO(WLly5fwZtlSfURIrJS$n97WA`Z@&;e>h=Y} z)pGvC)f$@lgGGD9kgu%)$JI}un<2MvQ+VaP#!J66&Pu98-@eY1Aq-~u6N}_n|G#BM zr~yj=p&-8~cBGYjeZJ{La)Gl(qgb7LMx|YOEkD!1-lptgOCJrP^h-jqsz`zNlW%K! z5#lGg>%yX*+>Jt^><{uwALSSh-n@G8o!4=#h*Z$q;u^;ZV0G+`dA3dYR8dVWxf6to$Q%@`hm_l7&e~?UrdsOhRjvrrhOD&p;68tYib-zA ztrHIwf@2Td6wipQS*6wpQ~Gy=>sITq5o)Rp(}j(Kt{B?FUxIPv6rUgd_4HV+Gxv7O zC5nkU-m#RmUY&1;o4;~OM0b*hm1*pG%M!SSsT^lrL68RONN@pRr)w#|1mc=~^~LJf z&9^D$6VpbTw-Puul4$<)w#A2cV;`y_^S46w6_<9?Oy39f@%l3p7s00R0g0~NdJWDL z?|D0|AIt)Y9>u|8>a(z7yVPGDHf%yB?huOVUzdynOBn$9jkBiwlh~7bo=`p`39$2B z^)Gz}iuA-yf3Hf>S|7DxtZ2`;0HHpwhRD`VPp@pgG!jWcSEGygU-lvv05++{q|rI; zANgAe9Y(=?iO8(nxd5NV*1Dm|WdL%>{S7JP3TeZW4m&aNDY8!ns13A7#W;~o7Q-;r zQYdi!JD9M0O##0YB%liI5^{lliEP!=r#Dj=#)g2WL9eIPz`=0ZHTP$0@spxOF(IMhF+*cD z=jEGq5ouQnMQ)~qUj#fS`YanvnR{Y!u>JC?)lu^@0M8_n6vhCKcfyV;E~u-hQh(-~ zKX=aZH+QJErb@~u{)GC0Sv}FG&Tr<-pAFS$tcZcbogK&dz}j^^G55ZX4?bLQiKPYa zZgcf}W2MCG0SY~cqIG&PgQ{}S&DZ+0R9`9$P}5GUq^Dwio`2Bgt|$9}#*K39zS63O z<^SOlXQ;cxypbcGz;4h2L}^PY`Jo{smK!LM zKILyPeY;6LV2>VUWv{eq9-aD$l$1m2G7aCe6AVe z{TV?kI?nAIn#nHQodI5d*#&+{EPHbI4cm-qfvb&AjDIwE33J`p*aiYo=DC2N>H;!$ z@01!JRaxv<7tH(pYJUMlF%S?p+@2K0lu-P{9`AUN6h>aON3j%ZFJqQ^@*$`fv)IOc z)#UJWQCGwPXyIy4{}Z^dYMm8-Kngi9nu@p(Q`)9U$es+(xIPx)xOveL`tV*u=ru)I zKvVWn34D-TG7%U^JK^GC=xFs&Q{HU;6#1?ddsBxfXmF8agA(rXSQg{t#082=^Y+B} z@vWg@gnl)Dp(bEXbgiMrZWhS_xQ`b&`Mgyy;BEW1djo5@7Hv^;5y`Pf`9CIcC-&wz z-lEQ7@Q8HuBR1vrDi{b5@ke^8&A0NL*nV>sX6nZLNK;7={s5L!zCP0RXM|t8yr;Mz zKzKp)v-LS|T5F*jvTuvC!q7=?cW)pYLKt%?Hv!zH(rnUT3@`+j^3C z^*sL*84AHf_lAS*v1VQT@)}i4QrNlle6FcSYf!fE)~T5Sc#!`N7IonEN*YNkMGR+ zfMWA%a@zOZWuEjv{>M3g)6(N<`#?+bh&~&wItfF62(wr)+Yet@N)iLnoe`>uov&SrP=10>kzN3VJC^N0dStD(;J`NeRv(?q@bcUsLw!*oI0<{ zw&j|?0qf7P`;40147}5kI_BL5wmj*@HLfd!$Z+6ACBMP*HTdEn;DA|@gDu8O_<~5v z7KTTr2hbhNh+|6gB|DYVUPIRikSYbksfLhDH^Ik@u`G@i!W1dph-sAY0%hFWSwN_$ z>6s(z`Tm+BG?NVc%TvR5zrLFTVXEB@cWAQ7l>HP0$~fMlcjUr*6)gU^pOeVnms?^xlUW*5EmXt7m^t z9P^XAY5r}ybG)peqG%-P?qdG)5BO;}LA#^0a>i8EuX(qsFn;*5J>#N`_wc>S;W9ZJ=m#>m?JID<@~^f{2!);nz*Y z5=VgQ3e44>+L))+QB+O(LYwqo+2&tQY~AFEgu*)kx1*UD9BTL%TMDp%$+2$Y;>0WZ zE4c0$N~rjWhMEMTz!gR%@*j%KrA`>lszoz6gGv!&$&uEqQdrzg(%{f(g9hK0ciAYT zQN>*?(govlqV&A$Ihz}F5^X-T#$v23A-+l#KZa_^RRZ&Js3#uOmJG55+G>mvLeHi~ z5<&;WTWRvFn?4z(_4)=y^E(RZ&o--5oqBOfj3~Y3f}p2qcYm~PPake5MntK`@fJrr z5gFlerA+coeJ&n0;mYiL5dpVn3)2id*6=tdU)7I%CYnLSipGfX!6-OHWc)I~hB?|s zXcoECe9{KLjSO4WKW5#5{|2139;8)e;M?OI*s-T6!_~H8_3yx5LNvwYT)eIv4EST9pS&e6$o;9p^L@+gST4^&TW!Qm z(;Y=C{@0rDR(7>@wpE(EH|e)*dd~d+zD`Gi35xXc-Na{aH4##z>hnMF`5`JAUU7DkzV)Fs~vA6Z6iSrK;SeW zaKXc7Z{;HgE1TOS<|xWdrN>Q_!u%T>Y-beWdgcC>jbc$gPGNHHj>W)Ipakx3lQ*wfsqUrZ20kk~U>YoBjbv~9R1JLbzVKsR)i zw{-aF_H|NX`q|AB#giVUJzE5m098}cpk?grf<<#%LtaU&Xop}-Ew%=B1g&+Fs?>8; zT_k6Y4*aFyqcmZBw^7w@s_2Kcblm=q{?XWh84@Daoy$GEF~#^b3vK|-*#4PS61&PfNY3P5*d ztkf@$_dtOJ5r#@ri9?XsM^jn5ndUY2BD1qYf#*Ymn!OM12!rmlksfdioeT>i- zxk37JwepXepRj&qa5Zd3!%|g`)tpWH>mWYtft;BNUL2I)A0qT!xaCMCK&xjzID`!6 z&T8qrRrCWDNDx$VK?Z3C?O{@S%}UXmXA~J|shYW=t|1z|4(&~bh%uEp{PZ7PU~e}H z(*Ec2Yr=mTr%NX~?;C40Hl?4SCZ)loObMP2HzzXlWJJZm2~DjJ#j=zv5(lwqdd(k9 zmPTgI>}CFTc-w7J<|+!UA(ODSm$3px+f0f{3B=Cx65YzKpwFB zw%Jd#0`Tpt}dr9zB&&Cw}gZ8VpHQS(@45O%)znPLgE_Q>BLU-Y~ zRr?gt;|?T<5Gob9t1*GwO6>yH&36^$He$p)^NWTiXFg*c$Hcj<>(42 zq4< z7li~lCE0ukIks9OooUla7AN}CD(=p}~Ipjf_Z3!i(FUo`$KqL))g}CEqy&3L^|)qlJ;HgDVE$rTwfa4A*=)u^n(B zP&bd{QxL@`sWt}HHUVJS8e>M?Pxt1qMgr>_YEXpbjrD#|xTLLG43Y%{tyyut3sbYV zXZyMm_(!P@{SEHP8M3}j6W#+?=XwL^GHbfzcSAUmS{{Ro_5vZ^S=USID?zeopq{cmTLN+yuSUmQ^iyNFnP9fSo)y;gj;I?+C2u%Y%N zDrvSGgwRFOs2TGYe-;c<5m~-N6TlIa=ssTqRq-&*N2vV+Kx{Rql4imYF|ETp6r_w26E6H!YYcy+IT zff-A1A}Atf3^$AB0tdr9Qu$sj=2aglb@HC;IPl?AtT)ZS{OX-7M4BoS(aW1T73;=8 z>7&#)kMDM?vltxGDYsBnBS|t;kuuC2aUNy;_*kNO*2*zT?@Gbp8SpPj0K`T3*zQY1 zhGUL7N@KqKNv!j4l(9ne9wO2)!GGbrAt@d4PntQRN}T|XK8mX3EGt1Sx`=pDi}?AY z{_WraAzsw^M{VtW_G(Ym@_ARy7E9iAQls5EMa-t-04d}H|I6wB^I%JKuca3zMMgZyCNrCtq^* zGthpe{o4}x?wzl6$vY{!jwc1L_p+L=!|E0}!*(xl3Q{ak3HV?P6(D1Z`Pl?t0d^|( zI z6DCqhGKyh5e(QE)rz;$VT!fsh*sn%*;I-L{gOc!Uz)z1L++}{^rkaeW*i)^CuLnm) zWnDW*0(itSTOAlwWo*=E)nFUaNmpab&G!^ai#Y=Z)VWQ@dgXa^Ut2Xkk1#hp&h9lB z-0%jHA?ydbX%avbp8B`dXxFt#;!-CD22tUj;?fX^w&Ry&M4*hU{6ald@Sgm$9gD6s z96b&f=)Esd4tqN=l>7T(lJ!57Bp}^oX2?#5U&gG1$4T<)l{9ZCuO#^oz840BoJu#m zth#DrSsG|+d(t@Xh|}zzmIQ6;By#>^PfgXl0Oaqp62vHTW{+BprwkN0d?D$cbz*ls z=igTvvyM*A)BYXru9yGbSf#F6R1`s9-xQOSNghnGFTAr7_jZaBjL@zEcxyvBoNj-c z%-R?zQD9DSpIfm$KhhkSxL$Jgdk4MERJt@tb6OMv^Q3qE!XJCVv2brzb=D1h>YoF}5b!14@z>+UY zoDb^nFpc6qexU}>i;345eQ7$nV%2ATkHskxAo8vQ2%u4%^>jXK-S89585LWNuxMXL z^ijyUpBS(S6fs94RyAfo1+kEUd#LM@oy=?i>yakLOK?FQ;YF+o&ZT5br}lQw2ZZY9 z%s~-VmrST|j?k$|L zCcG!@wi!ZnM9g|mz){XCJNkQ{3Z;$BTNz2Ee64t#R%rl0aXzVR3ueJ&;G5-wW^LLG*AYl>~xZXIKsSY+-2ZBlWOTr8%>m;x)_ zs5GwGkbGw^Vn9iD4U4~=5V+B6j#J?tV@`L+(6RAKXu{3|#2m4AllRm%0-*J>IMTs2p3YN+hB=DVr5B?3kV$Ork+($6hO`z>B5A>ty`AzqrzYgi}~2+0JpGxB#nJ_e3ZHrtRwWCp1Gmai z;rq!?+yb1>L z1=hcmka*29X#ABD!r&`@7^Ie}i&y>80Xo;pC#QB!SNS8aiSEl+j5g;*LYX)pm_3^yD=;#36;{aREc^|WOg zJpV({r9BRMT+n42m}R5EIMJ}3`2+@aWcskpx%)!PV~X+z!C>ebF)W z(f|9uREqweQu#v2nvfzLBYf}1yV@J8$kx${MfLN3np9hc;kuei`%gZ@(P7C}Urlp8 z55tLNM{wE?sh8!We|AGdogx8?cj1i>8fvr(6qIHjg+BqFAIcDU{0gsYguXYe@@$=7 z#3sU^W3nB_vfKVy3dE-;i(W1`TrvC|e#rmH!oiO;Tlc`T#gOI>a_a>CwrA}NM87=I#uyD8r`IG+{%bn?M)vfN@dS$1HoVjqYIWy{l)&EOCZ_a?y%{wMo->-t2~ zHq~i*+YhO;k=YYVIY3$^y3@0^xS=8e3*oC#%lo33qKU)8BmA|@l}MmQnz4;w84Qo} z5qpSf8$yL6!ePs}2&|cZ^=9N!q~fVAVR^_p$WaYFF-JKa%aCw+|I>rFmvHst!VUSm zfVSD88F8Q?y(qub0O0cG2%Q9hyg z(!)^WLb8-yS8bysLD$s6$CH8OlM36A8bzgaKkD5t2-pQQ4S0VaG5G96 z_~yTP3)pdvpQ5JcpyrfygyAfvSqfF${Z?1&G){X_hWEf-=KJIucEwUVsQ$@8_0ZSAjN>m23aWC$JInP^Dg zNZnEa_V~y77V-VVQd3r*rcjLAx-q;Jntomc7K|qPrlZ3Gt;o4jpx@Y$*67=AO30e~ zymrx9WiKQ>iLt{%yz+2$z9eq3>ucI;W7iSkgEHHW@s!+F%z}=M-=nn7^^;(pQO4W` z@F)W_Hb!l+7NQxJXQ&#b1Qj^xQc|>{{s{_C)_N7Yd+(FV{`0bfUDZv*f`}nSj0Lql z;bi{q*%s^9xq~AJkHEl3r#%JS&JiB@ZFueonNtNw>&~2-_?Qdnu&zzuG0?agInA}* zMQ-TsrKsWtRJ$u&c7sd5aQx}yTS@AA)8moY72q>O@)gV(Z7OW_+s8q1Cu10+oCk}V z)Y9?6@>Uqgayx-;%)bCl1Q9B4P2?y1KV*G7T}pcx7C(i5QiiQvf1&fXy80rHORAYIn*vT>(|hg? z+sF{}pQ4#8Z8?L;l(A@jbWQFG*&z(h^LEmv5KQV^-l1L)W>n*4ySzFR%dVqfqA^y2wwSem!u&#@N2xVL%w(*rrg zr{J{Ep&t+Vm3GQ!T4BKER3DA|#bD2HlyqjcWX9dL^mRsTaXm}vGfUx{|KTtE|Esj5 zwD5JTka~M)QZLT(fmnPloq0+sl&sP;PdQb#lyDiqvFUkm{Pim-F? zF$no0KKD@}*&Bh8{=fpamp)&{&JFx0LR$V8vkZ&PmF|mBMkJgN8N!Cl_E5f11kSEp z^lnny2|c2K=lLJH6*zu6R_Cv(it1JZieKKzU83tXWl%{fG|d`k#)wVvv|G^AYOGVj z)5=!t4i23Mr(!p#5OUi&d4|Sap(`xvvERmp{w^K94g4B7O+(pClO!QoV9@EEIQ)8M zY2_eX8O|nht#SDu${Eg1T!7&5%gLZY*L)A%1=HvG``+y@w{_D!%LjKD@VbFjEEVaY zjLVbklO*oqgz2HV;PSd1d82bx=;DZho%PMk?klR{-yrjqb<1OTZxBIB2^OFkc8&$WYYI#Cq%t;=VHz}ls-0>~pg_Ru zzh{;jA)OIAWH(L=#42m<iYKB%}=4y1nwXtsbw z`>VjO`vYmg$Y=k65{psSYqvkuMOvjZxsyHCw)W;g%!6y%j(kyhpQpCoAuA(5=rCk3 zdk}4zzG2ppkd{8Q*YcGiHPiH}x+C2>D$Bm@hQIr)g@7YYHp@j(D?Xf9*yG!l` z&$hk<-%dNoo+-4rXYSNr1t!zf8Y?jCff1fMSb4umg%noke(9zmeRgFk5|i?vqLTQQ z?4LxthexFY%oQsTC)~YiEgU3o+wqta16LrC=|FaLc-$ zu8CX;FOq{M%F)5Hy>(vqjM{1K1)f#_ZG1M|UY8y=V71Sjn<$kluI543=PyUZ0zQo% z6{enhKd!k4nVYN__H%mj|J$|G6+75NJw!jzf1z9uSmsA+^%I0T73UHuHJzWHhE$70YBT%WOGFa$9aVa>b~MSn4_u}cqfYO9b;=2ew;?NyBNTs9)->AWej{CpkI2a< z*!IpBlnsPts~7T7Ztd)wmdd~`-T+LMF0CUw6+FU}p|_ah_XNW(iC=Fd54wD(40 z9RcloSy^1(=LOCz>up5Rrf`XbOTK{n` zJlNX?`!DI9vZb#s4ZI2VMuHo8J62dS&nF2;2^)~`4Kd~l^LUyd`4Yq7Tm;3bwAs(l zyl!rDATmGG2TOc_g9oOfvz0S0Ilx(Vv(K|;9bi;KNv{6RyzWbWp^SSheA>4B>NO~kXhePtHVDur3Tl#WTdAd^x%nSpgcBZV^X z7%-yNpXXU#Tetl*X3D>+M#<6W;$i_2uGW3T8uPRk(*y+?66>v2ze{xHa3+nQaFX~^ zax30ff-YcPvVs^J5EM$S;XQFVIK9^lfaxZUy>9X(yd(*I7LouGdR-AQ9)z0odj71f zz5bSZq84#;r=%43eZ%M-Z%6yJQO`gR$(p}>(*i#*kWt9Xjh~CszD0=gGJ8^Sl{jk_ zVLgZm0}^r3%Y5;A@Edj;k~_-wsw``%{^8(61>8;Lt*IVaUp+F~h$`6xcrBmG|X55F@M@T z`G_(vJSwA|E8V4A{eXlr^bXl1mh5uOvq0M>D?=a4&r2^_5$%_gLF84}a@c~`jSZl7 z7lstyPZyeF4k@F1p@xB4AMV}5;$MggYg_^;7n`F4neA2to;8)qH!zu7vaUfaX9|}b zp7x&bi|FUi_5Hd^1BX|qeAVITw(oF?lgJzE?#pO^8 zU6J7`#Cu4l>%sBjK3=wj09GxYw8Kxj#djD`p_Pa^h!8anBE{+c4)TKE^_9hfM7`{+ zF%>X!S02Fm(H!3MO#i|kH|V9CrsC-5&eNG_61VT)i&q2#-%fDu=uT&^%vViOmT76u zEKX}XBO~4tF?IS&vU5gKje2yZo!;1&N3l`8flPh{*h}kn$rFSr!Xa^GvlzEX%pE)0 zMBdm2;O7tP!6WNCeTMT!7glhTqmzfRxJPwc#uaRnodNZN*?G9(hUFGZlAJV4$krQU zG8M0N*F6bn18BQA;{qA04t=nfOc(Pxlb4xzt-!w;!?8aKP5~EtlZnA9Y~76v07;t7 zttt6KOaJnv^3mK_FXB7zX6aiS%$nplkt$C7kupS-j^GPUnoi4?MuWjdF+;z6Q1AF< z1hm)!c1C=mtj4?Yg}!xlI!ROM^7ZVs7Chjz-5{d}l&nav8M(EKL}f0*Z*L?Rr?=-h z498OCC(Ti5xQXO?ySc-L1g{@b{$=0IYA_`ox(FBk>|(kymLBjjb z^C(~Ic*bmTJPko5#=*NL^i`ViZQp`YgT!ZhlMhOzvFaYs)l}Xd9`lu8x=X5>%#6yt zvxx9N-^?es3tqb9V1{J3Q@C9 zz3pMfa(>R9`vU^$m+`=n0q!Z%yDI#~%OD4Uo04Bz^M3P{cM>v_j(%M;g=)HC1aKPW zFn{BnaYf;k_H-=5Qz6Dy%ihg!iJKrIBHlHU&9Y`0A+9!C*1kYLC+3pP(8{y9R8x;; z)Ow*Jr!xS0OqASaqj$#J2byT+4MkHun}Z+((FOO+=2K zDfY_IoIpdiXqll~FdWG^RjM@{dYh`|j-Sq9I`I|#u|fG=H&aKHTyv&+1}#nlW~-;0 znr}yyZA|T8C0!a;KZDVYa-t!8LI=t}W=a5XJk!we6P+a$$!!N00jZee&psO3>^&(O zK<<3B+njV`yBe%Qb7lRr8pV$~O$xl@3N0(e#Bp=%HzS z?Nq~IKmX;qO0ECoegDN30IzvD-=+6i5@2`rFIR16O?5hj1MHiz+ zP;ws>MFI&CTy=Dpk>$1=aljm8wSNWt*L7Mu!47`(cplpjcw>SVUEac%oufPdV`ffS zc+mSp^e~bE?@f}4xr0#?_MmfS^V3r*m-`~yFz%O%@9bX%LB$y|;d4M=B@$;fLvF0P z)zn_Vfd4F&r07&?joGH6aYLtM+b)3bmC%kVkG^IEv96YLFk8JVWv6r@i>j~qB#EOtp+gcd{jk2q^@o(}g?8Jf))5{7kT#4+v(k!gRNI-AATb)5Fm155uUVaQFD zA4-Pc)ync(?^)}1F3Yj|_tM?(hpxsGSWyY#rf0}m-^u)Cs~WzKoU0lweoq;W9J}lB zB6(T%D1$R9J%R800eYHrMP0Nwm*wBhwq;hPHz6-|a9GpnIm44^K#l+OXvhgzoYk3k z-%)T<@9(IXn-g`B9Fa)-M!=sB@6~D73kE&P&FE9nz`Rv%9nXUYg|NH=0k76QmjP(n z=~=pG5MLNIp56a+qc453WaCe*XiD|PzopVJZfw5?efVbVxBW}gB3rbjvFk_8HPfux zn?NE4AV+KSM{reY4|A9HZ)x66*Yb?J*;~^f1L+3Vn&cyJcmcQE->{X0GW#)Gm}9>l z_eMG$c-d2yAo%V|CeDv<|c~*yyARd?vfAO2!Ir z2x0n%uqBrieoXr9Sv|&A(h6Q7+ZpbA)<)gv8j3)?qLWt~rbkC4`M%>aTvx!}mS(Vj zw=Gxgr#p^(NG^D7(*%$kc;Vx^Gkq@>XEmLlR?GM3`FwKZ%u+hhIFi#F^|lM6R(c0A zu+9ZL=%dmZ(+O1r>q#@NCk#sR6<3JM-IT>RJlETTKPGeH`Vg|Al74=KS~jWu=>OFB z9q-L$b`#aC%2jn`Rr@ElO!E|SAtUpgJ?gAK3YbX;4@)jcxG3oyC8z!iyizy*r<W5KbXt(Nb}dKz5k>48f1MSL_TCv+WuS)D z(O@sz&D3P8{B1g*TTdFdpW4h+*i+L!$yW{JH|>=vHlVamK4o95 z@}z!Si1lJ#JT9^DW$kG$a86k^D%V!*cv48>X0zFEmS{rq^P>iT_ifHyfv;`*eIci< z&j2(DWYP6Ar*1gsu0h$Vvh}{uh{j;lzUF?2d8Of5>)n2n5xMh<_zBB~FXdd|Qh*Is zL8L8h6F7To*HN+q>t3zdZ}IfvN&MK9AR!?)O`x>&gpA2G*~>ZwacLsA6@)#ub3tL# zO%oF2Hpi9SddQcX{qF|?6}~^$f2Uk8+Zum{lPISusaW!udw%65H-$V@ATRQHB5%t> zc01sE3KO z6muHK!}sNtCFLCSRm0vf{D9^&w5xubbXZ$Vv8DJ`^Pbl}BOID$Z%eZbn{^6=h>>mM zeQ`CJU}iJubBomW3ig93kYskW$ zsE%s6A-i8rk#4%~Pn6UpF7RDcntrR`xrdrgQ@^{w`vV)CEn-`Wmkl_@Gn$^sPanK)q=_UWAk;k3e znz06r9V4ZS4<-nD)u@q{)@HY#QB9sqpwnAJQrTdzGa zr3#_cf3FLLKXfy8|0Z2WQ$#zv0UC43bs++_yG#uin3TFa&s4_McjyGwbMbuRctKu_ z3li()h`=2r#Ii5ISv77vc2Uw*Y7&onzYY*IOkOvrhO=x0%tbP48@r_kFaCb$bAZbA zJsDdMlM8@j{Po$*xds?API=k|4@&|)vWc6JyoLaw;8XslpQT@C1-g1QL7cqYcB8cL zb|jgVx~&4i%iwn=<1{qLt2FkPOzL3iNAnBAp>NNi{fuAnvF1^j5}2S<>8kP;Qb$y| zlSiWnpBJR&>uFASR&Wx_JLbEp{W8^~xI8WJ$#Vj2bdc^-b2v}S%>Ani-M>tazx*j` zj*t&GO+DcB^D<3Jw=B}+!Rvy7>{6Jc+)&Gl$h9L!#-eoF?++dWZ=?L7R)N-{+@FFSIi7#>B8n)~~!uUkhk+&7Pu;S@^-N3OOBUUTaXW1xiG6lhlM zx@|Z9B~j1P*^A+bTvoj`vlovvLj&N$0C|bVk=G~cJRU9g;{X{4d%+LK?;%v#a{JPm z3Z#$mu&la(s)K=9!=--e9SKW$-vt^pQ`6@7m1BE z`yeM=Z6mni_;-C-KOlc8(lCh)(WIBp50^;aaiq5In0IcGCP}yTirSBHhjyHhT!Utu z_t}SN4j{ghPxMQhV!VHv({fR#QIEcKVXNWxNfcQ8bhdZBgEWUr^QRWvR>=z2YB-}H ztOq3cXY2lWgE}787k-M8jrKB---wODE*yploDnH>=~Fs$h|Pyf{AtQ-^O!0rea?ir9pO}=}R{E zqOIFc+My(Q86I9*R$}j2KLLL%u>WZV2Z_k9?!OB>LQhkNIJ*WA){lI}P)c6MRZ)kl z)IbHnoKtO$>cvy*yVqK8a|+E`pT22;nCSyIVKv6?YA=1MN)r-;acq%K-%|S$Hq0mw zR@&P#*eb#ua&L7|yUdTh7Y%R*c|I$E;xh0*J5^@Ca#AV+j45A+r>+<}wanM78`#VB zx4WkG9&-n2>OThNQ0KrnWJh-i(#KQ&4!o6i2fYYLe~0IqkX@$l_n3umn#xg=O}$}3 z20}1u6Bl*nn(uuaTNHd7PBU%y0zt919>PH+b_v^Kb=Vsdcv&TopcWm|2g`$CH84}h zSQ6(k(m&$*7x;H{ehXPhafnqz=(zQvSmhr-;$!n%O-dst!U>*%RNdgtP7rdYbI!4a zNrxN0LxyCLHWyLo|EnF|?<0LZ;FbudYzVO}Xv}Nnd(gN`jii&tr z8ut-zKIBLP5V)07T?$x2S!P6R-B-Oh>{$5Lbs;YVd6H@^ zjdK^4l1mL3Cc-)HB3mH^ljWMbpkjvKmbk&bIt(UM3m{~kPuJvQLr-h~s#c6edsEs4 zdx)B%4xWZm&nXVpQ0}ie=Vp7$e}_Ah2R&W-moh_0HYZ=jy4{;GYcur}MdyJJS1ou& zH9gTA=xQ{!JRptc{JOGwKOdfF;VFa7$c1Jra6`|xwz)cv;!qu@RPGa*;IM)A()=#_ z@)M{b>9|;1M|;cpZ9*vkws8Vkfkbecj&-~$i71hzzZ{{y=_Z0VM@8){I)L>R6Ge`T5ID0(METD6SD5PPKDyq_1_*( zuilHXx+ZjLP(>l+G?2-G46I+PjJZ{qw{I45s5CzNYgQeW&NuFV(;<6M`}~NnZ9QM( zVeISoiSUo{w??!Z;Yv>n`{E9}Oh&Crj73EWv+{KGl?oLCvZC2r5Ga-b9BYXUqk<9 zOy%N)SzrAuXqy6xzgb!Z8gSqZLGRvrudd7VOfc{3j2sYA11pqDkD2@;uB8>~TT#qy zAMX;dGl|!I9dy!^h?30{{=ol!M^r*?zYLi zNRFd`!?j(L%hYr?f@uQ=ffLPB%E||S#8S{NsasglZTxMcn;D&rscp%$;o@+38TP4c z#9D@rcWD;m9BM4&EZdH8fX0);vCF0C@U749r}GNT-jzebHdh)>tKv17GTY4}ym6l6 zxu_M(ei5^qLDOQ>=Lsx{A!a}9_N=WBNz^o-73*?cvdtCDW>}pM9e7h#-rrWxVY!)iK@b;ldXDC--do#vyFe@E27*R7 zX#G=;l_VDN{{UnyqB6&CCA(WGQ@DeSWc$$c8BzY8{R?D|@Ti{NIo9Ia zZpXH9!k(Gtn2D8ThBK5U#Ei^+vqX|Zaps_Ky$|D3d57%>a4#H@<8>r3!7`&SAmkiS zE~G8?jXpV;Zj~faBIC9VO3Mw`pOskr*uhPlbB^?@bjXn_ZaWm9QabZZA}K9a=0BCg zZEtF#h@obNI~J29?()y2L?ZhPH(+6;M)LxmfE?5AW?v^Rq!ny0vGu9hK)=58S1?Hk zY>#2mkcL4Ewx?}52vo(KRY>GkhWN%;aDG!~aDMe7%_i+NV3S~M{KwPMrGu0rp? zNg}i9*CksyXk-{5dROg!lVfG5cztbk2q3wLg08NhhREdpd9NJ!jr$$=AI8Dw)9r?j zdPzQQx%p4NDJ7{-MWOjKb8o5X19jEE?%44l>%}tHRJUnRN?aD>lls@#-xR-PUlsg3 zhFi3T9d}9t1%S&a^~HSgto${#zFqJzib2VZxEs9%E_HhcH!;RY(aCUpki}GTSMO6@ zSY`PDpSpUQhVw+#G+7_a8Rr3)`Bg}DK+G0G%H2q6w981)k1MbNwX@&(Q<&|KI4VE8 z?@U{W4a(z1nS3HOKG`c!%HRm%=lw-2GI zyyLSV4c$dB99A&V#=Tpwv864$XPBkeKY4ilYAA}CGq;u;sp<_)4iFHpj(+K&4V@pv z*SZzQ`W()x+_JM|U~`J=)5abj@jA3RrH}S~+YV(N54o>9Raf~~?PceRk|~A3Ln0Li zfY|FnEgqYs_)WC05otP(mvWknD*JbXorLt_zfryy+%x!2&=Zg&TxZuD*W>M;t3Hcx zCbGDeDWP!cr2LzK$jyC4@L%@q)O-zZ{gdLoHLq-=`?q$(Bm?bG;V zGume~-!c6SY6~My`w!B9oFcloOWK4pZT;XU~GucGz{&}{h!eD$R* zIt4iOVltc&-v+-kzu>8N*0;Vo@O^|5Zn(C#npsz-H@X4;0HV!)k?UHuzJsLQU){`> z_RvPsJhB`B0M2Xid-j_6tbQ>3WY+cQCEupUi+f`I3~EROdSsG+5m>d%(lf6fcNp|P zM*jd|ABs@?Lij7CK_sE|4K6WhJZ$@%?cg^)qo2mUm29yDocm(G6+dTxkD8yr4;v<@ zX}WzT<7!@81NVk{k9=3_FT!7r{t@`SqeXe4YPR#rzzHj}jBYbb`&ace9oI{8)#b!?u)NYf z$m31S+kj92?oUem@A!A|^3TNo0Jin^qFKMPwKDo$p~3lrjjDefRo~k?_T;m<(r-K! z;5)UQrzR`iMm|7N2q>RlTKUiRWo<_5;-7;xi8L$OtaQ2KGfis?FfGr_X`_}>Qj+pN zOgusM$Zlu0jROTC7k8mG&T864zNC$8>#`wmCzs>I*IX z+m7J!6#ig-6_)1P4e(yKae1ffI_{$ZSlUMW2--8WdS9AAGi-0Cmp)fUNg77 z@m8s&O{d>Ij*lA{uVvk|1_$ofM6GKNhxI=X=u<~M{lsj@#kY3#pfyhDy{74+YrDAh z`6JZR$n(6NqsuHur#;V4YUI2ZuK1@_yt}cNNBbR(o>tmT*dc-WaqU|^8Pbu?~p%Q-O&6(HC-vB(``+fUyPtB$qYXC>sGI{KkZ9RQrA{!?=8Hh zlF}yV8)*cZ;l3XHTAN(f2ZrqQwt`D2c1t6S0kmKdReK3sxgUmfzk_!dHyVZe-g)0L zJcJikV}bzBPHV2Zk}XTa7c*L0EcY)OyaAKu$Gh9Wij_jMfAe+A8N z4UMjtmx^YISWK*a`hHZp-NuvPePSD%dp{*EzFAr^@~HKxySU5CbEN3{#l^Z7w=y6B zn3Al1y{hiDr=3Gi5Jxc%NR)iX2OWp4F09t~8cfV>M2_Wl#-nzi?x%M8?ZYz7mz%+Jo#| zFAM4_-mRysmM|^5H=eD$N$pGwv8SCX?nuIvx85X;Ph;M={{S9%GgO;YeSb^Uwn-)2 zE-hS;peVr~je07yTD`i)l6j3DMtx2>tow~UbxS|9NxDBJiQGG!aZbXuir3rb(ypM2 zR<*pjjBK2817n)zd?PlaZQ~7Y%KVavWg5jW7)ee!{A;h!V|CNxig2$i8;Wt%j)2!E zXX0!2)hwXCu_)_L|zvCL55h@yX`G!^lh%~X{+j;c$ zyK5VpuPS0AJlr4|+7F?qxO6lA9Qgh(6<%IiG!Fo|xnhy9`-zS-T~+0LL8Euxy%-sa%3n@@11l;d)e z4^ORJb|klTvKz>N$yoth)?bY7ZuI{E0&4d*MWnj3Xzn9Oxn=>z@6xoc+2xW6;(s#K zFPN-Oe!rDTZ?$d+&iE!x%F25lqNy+|+3LxzX^>yRCL`1=m`0AfSzN9;{A-x_dvoF~ zGf&hs-x1iV{{Utcn%d$v$&;Ry(#NS-PvVQ;4@nxuHLOcCE9$uISpF{Yg7{~}-WL-l z>m5~1td0G~+&1Q>=n_E8qu-0IFH*YMeP=T45$-?_w_o$=vEr`{+jx$_ z^xJ~=A7{BTSjfEm*#1>(#_{Su@Qdn@=?b!H5#9&dJFeW;Pl5bbKZ`sgqG}qfD`RxG zPaKNeeclPB>Qda<(c1FcOw;1Ib<}PxV`%OtM%s3s)z4^t310?y`%<{D)C$?^@cEGG zuE%JQedhH2D%Xep({JKUehJl$yvXuE%6JRyS^oeO^xaoc(JVEu4@--kIRd@8`_e9Y zQz4rg_KW?kqs#WDHu{x_;$#`f>x$AJW!AKnf!Ir@-$JRh9p5k*sjV*-`a3x9RpEQv zL`hr@6yw&pPlx(Gqv4A!YQp4+qqD#BEsC6z8NnF*=o!*@Vmoa%$@IuwoLYvBqHn!} z=~TQeq>l;QT-e7qn{9O=mfa-kzM`Jia!2CZYuHEbE(voY@$+Nunv2G|b>^tHGT196 z#iXia=lDtF($ou!X8M1KF7L=vCWr-(pbegxs@j&BaW9Llb%u>n)fEG-@0~~oI6j=! z&l0oWX!5~t8-1xZy0@+eIH@$7ht#x5Op&~EHM=V#b!G#B{OZXtymjHZyiG2TsmFZU zZQhSDmN^lASB#OB!0XbrwM$?4Nwj&bOsk2%dkw;lHxF*roABE1Yp)N4z1`-<#u*k~ zSY>?M;Q$ zrg_w{4cG%&8dcV@q2HgRNtAq`9>d?Bm48;dYd;!kQtW1ic#LvL56ipI z`_%|MA05?-+}hriQ62A?gl8oQ=AiJepKGb>_Sg2oVK+Wvw(cAgk&jL)PZH`M**+rh z>Ev48JKD<1I1EACk@dw{)o%uiai!-TP0Wo0mgi|5F+dfpFPa}3YZ@e*yqRsq&9s3( zc0IF8u4}_d@h66vC=9H6| zQh04~cM~|zmT{gvDzpN>h_ykW=q7RpnI!)JXAYy4B=t37^4=M&M7L0HirzK48;%)R z4ys2_sHO<5yhEczl0s&)xLw~rKQQhobo;2a4K_rLnV?l`Ifiq$j8t1&fdfTt;!PGv z=3K+5DUMi=@UZu*nq+pcS_^0ynk!Tgl+Jc>fmD1arH=~f%WWOU+FQ(N$C<$*nWkD@ zY5pYCWRq``exgAb>7QDmqQ``E^P$)qONI|J%F~qxjjRX;s(3F!z0sr8AiNvkYp*f} z&PLqx^r;{1F!s^=&5Ew;Ow+z{tIu)9FBr-wn0Hc$>sl z_da64mn$W+Gj;h#PsG-ow}}^tjh^DTftV=I1f1vcH2rSy*xu>R=%(7?gfch2a0l!9 zRC=e`?QS5sxkX!o#@Xb?IL{o?NC_aigG|=rvWnF0n0bKbkl5;Jx_z`dKCwIzZpGeb z0lEeqK=u^d+dnH(w!e|tTZjgE1;2!vmg3f1jbhI1z8>8gGMzF{T3{uOtJ&UM!VdPC zS@6f4kyLbBTdREr;?C)FaRNIdXCUO}r@oqT;(J+yDzG#K2`Bi0s}S67)}Go;>XTaT z`X2cFD!Kt%?JNCiO5+@Zq%012sMwHA7$oeNzKKiW8?Xd`91)8n@N(myPx?)n;R z(Knf=PaCv`-P?IR_{AX5eZAzC_OS*)U0jZR4N2wvvlM?ReI&3pSjs!-#+!WP^^U-kol{wt{maG27S^RkZmG z*N{rByewyS?)dbpI&IWaTtd;EqjMZE^`wH@-5oxKsz;@2)|y=ZkO$_6#Y;rzQIu0{kH^DFXD0hPVWn{L#FY^37 zsKy5Q9kUbrioQ}*t)o7c@q0-ok9iir=+L%9jPs74O8J)0;NOJ2L!sWwd2O4(@)NOk z?KwRw-F07%9}cfPKKF~_%{E(SjJmo?2_x87$vVgFqu~z@-mCJb3 z#ZTie5^6fBhwRW@%+oEpo&hxP587)GZn?5n*a*(!!1t{6Hj8NA)xHtxnmliDW?EQ% z8F_D|bB}p@r=KeR%%iVH+l+cw-Cs{oS%Ps(lfaZEY()>+Yf@>*wnGGkCxlzdXBY~X{;p3>P|W6 z-D^hPG#_v_jzV--Y-Y&J?Zg3 z+yX`U(CaEQDkz*x$r4!+O;i<_LKm{`Y#d<|DVSwE##V5Kk1a zquWgx+$M?2mG{WSdvC)(+W!FJU&DVYKen%k^vL%Qv)^#!dWOz_op_mI!J;pa8|B^4 z;YeX6LOBW>p&hBBB^&I1nEWUGw>$&!8EvgKDbI(scU-(T-zskO57Yegub^z6&r`M+ zHj~A1Zt4hVpLlHh{{Z!?@g{3{8FxHN!#P)87+0WtIr#nKUxd>mcynEt*@6Su-V*Vj zU=Kq{*^|vEtyRz0ma{!DIO318iuotuZ~PQPK-VURPw|eN`W?|wruR9Bw{xD=^+_9tnJyKQJV&(QTfeaUsvSzy!)|56M>az3QT=;Xs!DsBUqkdO_TbjO zDtP0;kzII7DD@wQlSUp}%??pKk}i6-(~!STJxzR_@SFBR_>=K+6`sRJdmTBH0eN_( zA|pJJp1nI({{X>%+Dpg(00Lw>R*$JesOgNNSJLmY@ZgW(Jwf^rUweEF{j|Ij@lXve z`yLS2V~7^Dyk%HqIl=PW@P80L8eFz~$r#EGPkSFJP5%G{!SSkEv%%s!7nCM;GO!u+ zCl%s;HvOOeD1OgZOQ}x{?VY@B{{SD_YrYBm0ORY$e$K4h(ONKtNDK;)Mm>6eDyge! zHa;M+p36|ROUr3cqsJfwGLeEXeMLi`HjNoNH`4d@KOZz-+Y{oRpJ29&;ux+#`FGsz zGT?L{E-RGr=f*!Ac==_0d&GCQF|fkh$0IC5@XdQq?Y;Xk$MBP0PZM~0*rtnk*pNej zBX3L&#=ds=bK!I2k00oI5*>p2<|y`#pECezbUD;v7`D}{eI@%D{>KC31kd816Qq!M zeg{znxk9GlhhBfX?_Z|=74S}p;GHflH%HSg^!sSW6(EQx{C!PQ@E?b4ycOXcJ4CTX zhT6^qMGMpETi+? zjPzw4je9?f7@agce=rB1>t10Vo?BdLmPYdKRFwAaYdIrw#-D2)yWZ}FWRmX_%NXdY zy^rNkY8Q_MirmIAscNs}KtRbv&u>b-3?@6pom=ObL=*5*uJT@O0xq&Wn2u3F<ZwwlW+3CjbXcn1W2wdoi3^XUE)yU@HjA-mNZGNVlUiO)N; zT%U^V?LIT;nq9F0;B+bR9~pidY|i9-x4*QTf;s#g7?Fk8p~}oX>UE! zpxOyM7W@rlXuc5|Pm7|}buCg$eLDI{X9`dM>5rKZ5l=FG(Wq{EVYW z{K=j{ABHLJ7UkHI$4tM~E*DGGV^!0niKM!0U=T+|Ij=j{b=^1M?zR5_2=0JdV?2?| zBn5I-Hu*tPdFmJQt*?hS9wgQ@JGIqXNOem|f-Eh-QaT@@tA0Mv^iL1yQFyacIMyv? z-7N8)+1-J+>70EkovbCjj)z{3_g>KE()93<-$)Vm%r>u1aD8dM7`4N(<#?NVXJdT1@U@a!KaWuRMGBcNS5v?Bf=blYOTkIbiG*3 zHT-ei+gnAl-+_f*y#;fg5Ajx-`lR|?5j2w9f^ee?j?^u|n;sX|r_?667nV&AlHi7u zjt@>L`nB$*XR5<3uAS!E+{?9?U?}&fJVCGOR(>KP&d<+@<4-t+`BRP$_|~4Hmsfgd zh9+M*h%20hRy4#?m!!@p|<;f{Ns!kxg;xK_~da<=TraV{HYMb8zZ zb!J#Z_UqA(5!+RerbIr&E&Ya>UF^TYau+0H>E=a1$1RT4{g zANo(4poItLWaujs#TP=x;@46!EQuSc8;o=Zj8|jik0d>;vCAWT`x~WHxV5*wX)UuH zcMLLZN(`rUxn;o(X^i?(o=P6(=!%0%CYP#a^}Ta z7J_787w>KRr`R6Vjp6+wJr?5f+sxk-ht5<#^2~Zu5go3nc6?*@Td1TYs&(cVm!*8c!#jyt%}<9_3SIp?lFDm)9TSg^|KVo zajj~0hvkT(%l`lZ_5T3tR-~16FAeGUej>B+1g#_&v9H;Sm%wjK)VkH3q0^+FREinm z(&k%$&bcdtox|x-c(TTQQ^ID>)2*V*rs*7wlH?hl?Tb z4W5m4cW(axWRfRFoqvRkaC7UPmDF9w9mbP=EvZ(5;@8iLMQr3_JYur7y%rs3!y3+? z;ux0Z+T9G>M?=*0?af@$R@xmGOqWc;+QSk;u4)~d8Z7hH2dV>{7Pb(n`GNb8QdRq8*L-FRRquLnZz0?eHyef8* z#2zvD3bW$q?T>{G?C~Vh>DNJ_-k|KqP(3@+xb3MoizA!<5&c8^HPx@}PufvI#zr%M z54AJE`r>$_!nT*QA1uuaMEky0IM4N~I$o(3y<=^vS)wb;^16TzK8CV1O+wFF*KhQ8 zfWY==%vDC)md_v#^w1Fa2Uwos`%u%anV4D}#`1B&IKcH4c0FUt_=R;~!(=TI;gscf zVDr+f>iU#ACa+}c3am3OACeDV^*4xShfUFLH7&d2wsm%FWSEXJDcnU3b6QOY#M*2Q zpeCTZU9bj7<25gfwSnPTtZyAv?V3>w;dgL)8oPZJzO7=H(fN1Qi3zxhOmZ>UexH?A zh3)m955afkrNz9RbMtL(-;DyY7sgXInV{e57TIZR%Fa9FV>r*JG{w}S*1RzWtpFc1 zA7~0!qXEt;&YR_5Y1bCg?lSG!GPlea9ys=@x*J-@HQtX4sglulv{?QVR2C$*x{t&f z6_xyJ8#Wr?LyY0q`E;gAka(j(wvg?^54Iq|J6sdHAC*|p;O1xsA-lSp@Hkx zq0nJX6ia0jvqcW+6}JBXdna$uW|)R*kjLU}7E48!d{-e|WsjY#y@>kN-8L8{(S!w+ zttN}?t$UkBP+YAdnR?cZmUali^s7#+B)y8Mya z>62fmc341~GK_c!(wN9RNphMdnDg69zGrud6XI>whgX)XgY+#_Ut-n3iT`I;i>uwdIsY{(lO7y?NAO)rLR=C$z6 zwXEy8{?8(YQaa?2KPr$R@pZlCqv4BmunQ#qd~$^c<~v0<#8ciTj4mzVXT4U5rA7Yl zaw*;uSx1J%cL9=AF1h|JeQEv~xRUnYZNXzCav1T`?RO?SFcb z`sG!u?qrh+(pc$ zv|mdHQSjQWhO)95_M4#0Q<4h~aYD@^M>6>=XFoJ!X#g6JP>JrL({A9Cb6dZemFPwQ zBlP`h#Frj+zi+>K#WZA$bO+GUU>j#MG`9Ai-IjI$zSC1+;c}6ndg&-i4e7m75ozea5)p-oo{$P)DEUG-u_Hojz zC{HFdBNC`Pz3QZm=3s7N<{{&8`EgV$j}Uo`x&6zmSx|V#wM}a#-|X~d3hk4>vBzp; za!T8>i99i;L*(xIQz6_gAtF7N@uN8n>-{Qr8CS-?2Xv3xPr;Yo8rJ;VLu+&A!8Bk4 z6XAw&+;VH-KaW4~PyYZH{3o)TQ_EldJ<9dPevo`Qx{_^THbwIP0MSnM z>A2^DeeqtIJV`Wd6p6VQVCS6r=7~3BDN}7;F3kRY8Dv&yvm{d~A=QpH#;H~O^T zV-?r@VDN0;4t#PnIVCP*v_^0`WP@B%?&PYd+l3je)r~p1hk1?x^4-!nZZQ&ep4c60iSYb_EBIqzNDb4m&2#dj zUSq8P0EB8CYjlfeJ-m40L_JMVo5K30j~Hn8G8N9&2Oo*9*H7^Q)7UH8toG^hk$|Ot z#=1KlQquZ1RGV&8{I?1S9@(q4mV~yMK8Cb(A+B(P)W~R`sS`$>Jdn)3D~3flxIHmrO+EIF5F1JeEg*w znwAtVkk7*N_4cY^_T-{$AA2kO@lzzlc8I_us^^RvVlGB^e(xZ$=rAeeQa!=;h%xfrGe$Zss#-^h~JD#L|rai2=l@UMwAj|AMM=Z5@4d81B} zWI^T=9!FxitSOK0HWXD0(XrRwqw?~(J6+EuwvK8^aZhx8f$-=43N5YpbynBMdI-L^ zU90x(J%YE?s~_v1YWox6pU2Mw{9LhFd_S&RTwGumvt|o4XZ@u-iu`<4U8O>TWcj(J zwS{eO7IKR! zF2{=Wp@s6VANR;QaNU1A*VsP_e{L^_{{Rv^n_Ib`!@8@mMzy{Bx&HuVyN`2<%(YQ{ ztq-BPb)^ELx4eS-6_(mq=0nJ3A(!(NHr>6!@5f3;t6fl0MHCD+=8d$uqjexZ0Hc~~ zb}F-#ErL1e?^E1rQ(duE0k)7bM{!gZV0N5ju>7h;J0tmy7#=7{ZKCWNgy|xdmkti# zK*7y@5v2S-_;TL>ycgrGV_cFgTJu$HKTwL^T)b!+L-z+DfT(l+)qK^k$T()(>OYk% zj2cAp(E_N(&^}YndH4Q;x+%#=b15e)S=jq8!9TPoj6NB!i1iN#c#r-Pe*@^R7+XDM z{&!dY7})dj{9g zhfk0%ndF%xU;!CWNF&m}E5Bv6TOZmZ!%*F*9!>7feM4Xx@4gfM)Lt(5cOkU8)h|3x zqg`7F{{XY~ElO4p1JFhpii3}CYs^=}_quP6B=IMP?*-GraBrH`T&=__yKx&q1mpdh z!f|kwlR0Zsa#EL(`$;XpSn-|+QZe0Ht@MN5raOrKbrOOd?G$u|-J z`-$9FA9?Wt($`#z!x}t3Qa(r8m3~$1b5`%8gTuD>ej%PlTkHHq9BeXFG40>=tiKd^ zlT7$iq_yqMy53&O6-;ob1cQ!!d)955rE@~hS?3_k-obA4=q7v2Qwm9_#z!{>qbmmAu1wksBBXJv#A>R;`bV>^?M2 zK7(rOe`%;D=2rQH80($c8T=|#kxDwBQO~!a)HJH z{VJ}jr`Xo;g<1^4jhpxNZ4&jOQmcdN9#!X?$wY^$&?28?@8BHt6!{ z5jeULHa12VAp7TN;=KpLHu_$g+6~>k_u6KH$s(2=;F3y?e>~Pso8vDCTIl+;+FjH! zSn3GkYpAxUSr}m#fIDXu<-ZL69$ow;@dMoWw^jQ$+n05#vy&UCJPuD7^!KCT*w5lt zXG!q~RPkB(peE7e`zDonw%pu*2K@K;?OvmA;qUD&T-xeWM|Yz68`|B*;$#35{cD}^ z#De?bcDG?+8hx-G@JSm0(mz#XKDoy=&HM+s*R@X$>Ngs@%({Sejx?S|%yR*TUzn0O z0P*T*Tk1X4)`dwvB3yV!;uP8rjiliuAu2Sl@WM!rx4_K3uU+=Cr-G zfyn)91L8KFW#Rt-hwH6e+XmHOonC1nRo>@3jrh(!wHLyliG#%&HO(7jiD-wA_pN4_jdvX zF=!Haia9(cFCtHtbquNpGHyMqn(%(Pu77M?>AIz}LW`MVk%v*(RWAbg%T3fZGoVDR zG1H(#fyo7A#{jROslF&{I-Qlocb0HTGTE$Ve=L*olgQxFd+aT=FLgN zZz|*~Wtbj09@WumQCv-H6mITbZ@Nc7YPGhq+SY=%AO%Sy+#_>=o}>BKH{iWfSg^ji z(lr?60y#X`rgvrxr=U}s0KKBat7*FB)|q_l@G5!A+3Gt1QtO@_zSphpFX6ao?c)KX zw>)8#07v3^tbZHaYkGdD+O3>s_QnFOHrH+8bI9x3x;;YmH7yq9W4n?QeF1oyGD4%A z5&Bhh0xu8GB-&k&$dQ)<;j{A~t2*_)t*zkH1@f_lT2~BtWnWLixD7AEdgg`k8o_10 z-(z`ex>gRrZUde({Oh!i#dWPh)LvP%Qfcib#$XvHM+I)<|VUor)yD8^e1Cqng^{HcNm-XR(wN{G3Ac{4P?_AG| zwB@&HH5*)uYla?X-aKCEdN#D#*a* zRa1@IkFGyjg}Gf0qSRVi_}f;27B#xK!IZ|p?;v$P^qDMBH#5m&Ik;6` zr@kvw#S@(u!!k`M6F!eRJDhH9q;ORI2>k0p3y7|oE2~HqVZXI!+?Z9!8T`#H0L+Hy z>pCjIcN<$tscD-g$l)2f99K2q9Sd6UJ*KT?C{0gHw{;Oder5-p)cyKPV0?JH7^-zemS z?~EQQ&yT!6H;cSGYbKdG+GiE-r{)l>jk@oeEF@!Qb`+r?6y7s0I96a2TH%wq1AlU z0$irp(EOxs;QkZ=Yr?kCXgXY4Qc1mRmE&b@OXQsXl%5ySPJ^e*r`pVB4J%F~ll!Nr z6$RC`-M@|or))Ra+#!xg)E*cPPCL_lS!;83sA!s&n(U8iLR=z}g^-^3>r4sk?bk{1 z43eb8+g?ZesGRV!XOT_1(4HR|9}q;|Q^^OBEF-&iG~XIV*E%^CE57Cl{LQJuZO1tL zYe#qXr-tN#wlN*Qh-jFPRMcKZ6&3d1$6 zT1_9snk-2SlEZSWl5xQHsJvOJjV^BwOoPm|mf_%$yC7_1KaE|zzDunpZCMpc!3UU| zzlDcfdQ;jPZC^uaWQsPok`=o0ih?(COAL&5q%qzkyc$l7_xV;!SyVA&#?#)Nt27U$ zy~`@JR;n)*{`SqIlD~x{-`V~m(QY6y8SJkk^7gWV0}nt(Dhpe5n@5vRj$%{n?PkSK zDmLxU*ZR^61~4dt1nr>@Md^i+Pdrw~m;rP){lG6sjgB z-Z-$ylZ>9{wrYtP;7g0tj`qh>wl>nkdg45s?m~M0RGuBYxVY6kMFi;3rKRAGJ>5Fs z0qu&nE~2)+GP2XR7Fq3`*_Ws|;F@!4FvF``Th2DgewYpY<{cRNnm{*AzF+uBbv+%~ zQdk1Yy#3`pMOm|vVAdwHOgxIFRvidAJ-(F|qOj@r(B01*LP?0Xl1-m8dUM{Jai&Cd z#MB9Ud&z@G_qL-D0OyRJG2Vb5q{C}t_Q-5dFbrmrK7I@3ACz8>q`5PVSWRB=~(&j@M7E{?QdxP+@DJQ36ObE0qIW4paEq-Nu zNwarR$*62^i)r@LIl+y#xo+Izr;he!@m8g$10jJ`BuQADWc3;8Qmk>!9o3S?6_K(| z2h6$aRnP~no`Y1sL?Kpn-V}5v9Y^I=+G&2r1ISn`WGeynt9J;|{epPkca!&+9^ERc z`HgXP7;UTffc2yVum~IkRRb}NEdQ>7Xk8t_(L0%AX#Xj{6+wh2Q8#Q z@wk%cs8)@aX<~k0J-sSNV@u)Qq|B=xB}9)Q(8mVr183eI5H{G)?irCW(-w+I(aXc<+N=Br(H3%2x!h zbH`EbS~`XG=ZNj?FD~ycH9LrtVEbE{9~j3{PZgE(?j&JaF}H<0^U&6Y(OkL`vV~<} z<&JW|(5lio0k*`)Ead#lkN&!m+vyL zPbii+=*GO7&hyHdCSGv(EPXRw_l~vbEp+jt+FZ#c$>!#5-+PXk9e*10bpQrnSYxW1 z&PCYuU$rgmv{#83WgslE=fABnrZBN)P^G>20=R7l#7(5gq031dAGwoVwYH_F>c6~> z;ce!|3O!PN2ywHyt7ETU+P)kt(YGqV<$(6B1=S+dE%xnb8=^Q>EYc-CRQWpz+V zV8b0MDZD|aXmRn2>6j8$GB%H?H8MyDwHQ#{qD&JLbZlcj#L_o`#EMO{$+WkxA4=tJ zukSUR!!d6qGlf*kDv!^ldw0SA0DwOeej{mc-)Nd(lTDBxE$(G1kB;DGp{wjyGN!dW zp6bU^(KF}5S}<|AatNo{>dPdUl@%lD&szEm#NV@5#eWFe%|5H)KepSb`ToZ!Y!6^T zuO!tpdkfi`-dLK-`A**~!XtD(jgif1tX8Ie+A`5@WLvP>N&w!5r;bpSKTBvH7+#t+TvDkYO@frlyk@F(7!urgP>;_lM(D z<6!JEHwG9*J^ku+U|5`G2+#YXp(IO3pnN&_)$s%2ec+qJz9E_51ZK|h%f`d#O?`jx zr~V2ZqUsH8rugSin?t;1!(U_f1n2bpYv5abk~Y-Z0ut+DqEAbaa*LCj<$kTX#UDUKE zFSw05@=JKz@Iou;{{Vx3x8Awnlop;gu$x`e5pXpNNnT0%kGv$16-r3Mism2vzDS(|@U7`sUP8NgGFEl8p!bc8~u6K{QcLuR>?B_b2Q-{;$NJ_1(XneP#auEX5R5t&AxAEMtGEpZ&vL zcWwUwBe(szxAUTkY}2XKS^ogXjnDh1`Bo2#zvNHTKCAsGqPe7OjL(SQcR>2D^RF-c zpg-hgvHt*aAN>xBD;aEW9gd6R@BEUTPyVz} z0Df=%7ha+9WBy1cxBmcN$NvCAqKa`dmgj?fH~#>VD;NETqW=KUjeAe+ng0MH?}PsU z>!W{4D6I)!5i|b)$B%s>aJ{{SBU0QTwqD5A9J524~;3xDLRT7TFXfAlK$ zU-^aWbWu$TMO_d6K@oq~G5srB#2@k+)Bgb6AIgd<1hy`{QelPz3k*h@i0In6eC;Wd+{{UQ%{(@+toCeMZ!oTu2TmJyNFaCsUsqq*5 zfM5Q*uk)gcluWuAUKRfUk*mdj_1!=81+LB?`2olO09`1et!xEr{{Z;%>=k<1hID=>Guq-9McaRKyOV&;CL){{Xzd$W}z( z@(WM<2+#ijp_(YBiDsRj{DrMQ-8D|*{z2N0{0sWgMOqO%f5^M1f4v{_6{Tzc03RBc z`>FiR6i|xjL21`a{{XLtqU-)YF2CF#&Wb6qbQyL303ihb0Io;+R8alZ{{VbZMM%)? zBmO?GzQ5GfD=+y3pZ6sGv{6r?FLNpX0OXqLpY`b{@-?-g{{YB?W&Z$RfBlrvMIrSw z{0;vABHfSs@BHcy3H|L?{=dib6j4D&mYe?oBSyRQTD>>?eUJAjqJSZb{z6aw=>AoO zrhmvoQ~C-hsvuc^j@#4QzMHB%XAL?8E%BVl% z@&1%i0fhm2{!ggbT>k*6KT6Jz{yj(e??n{IiK}zcANNH=ao14)0C8xdvwNB?hxjl4 zLRx?Qc0bO&<$vSY(M40(AbgMi00k-k0F!-B`v^h*0HGTEyqo@8{{X&dqMUX(>31Dg zXw*N6D#e%ld=IS@QtC5SAHQ)}pYqXYqMWuf>U4e`{{T}r`-Z<{{Y9BqKc>)%W;GLK2Q6Gq_z9Y^gqsuD^y7>zxvpI zwKP9^Pp|c&ibzbnKJ35le@cx%|JgBu{T=`S literal 0 HcmV?d00001 diff --git a/_static/authors/stepan_fomichev.txt b/_static/authors/stepan_fomichev.txt new file mode 100644 index 0000000000..0f66a7326c --- /dev/null +++ b/_static/authors/stepan_fomichev.txt @@ -0,0 +1,5 @@ +.. bio:: Stepan Fomichev + :photo: ../_static/authors/stepan_fomichev.jpg + + + Stepan Fomichev is a quantum scientist working at Xanadu. His background is in condensed matter physics, with a focus on lattice vibrations and electron-phonon coupling. As part of the Algorithms team, he focuses on researching and developing prospective applications for quantum algorithms. \ No newline at end of file diff --git a/_static/large_demo_thumbnails/thumbnail_large_initial_state_preparation.png b/_static/large_demo_thumbnails/thumbnail_large_initial_state_preparation.png new file mode 100644 index 0000000000000000000000000000000000000000..503fe0d1a856d74f6dd9c29b0788573df1832b36 GIT binary patch literal 89980 zcmeFZ^;?wR7dAQyNQZ!cl9JL0(y4SSNT+mnr+|XAbc2#ogLJomw19Lf-OZ3Q?;bzr zz0Uay&QIUDkP*0ep1t>4>t6S|*Lnzlts;wy^#lt7f#Ax^NvS~~=-Lnn8Ue`fvq9FhC zA(Ms-`A)Nj+KGIJJY~Z8_bV8JFS(FkOZ>zPzK8tJE0zCU;(uoW`JZ3>FGc_w{0}ew zhn>I;{+CDoms9^o4*q{2N;f8T*bqop+38!`I>l68MTfFc4@_|K6Z9AlXlz4?BrTi& zrg@hIwJim;wVh?wc}}ScKRRrkPfqG%@Nd)CG}JYGp1`BTSrS7cOUhBw7QY%DD zob-0A4{^&m3%!>*53O0OIQ<=v;ez&3hP5$#13JEE^z;vp7$=PJ$*YbVN~&f z^!=}!Z|#TY$s6<2yk^Y=kbm@J?Zb$AIn$ERNk(3n_)gB;c5%)gyYae0NTK8<5;d%d=4I@|Om+$`6wEK15UVY@b zJn2tLOdMimmcJ_AgzYst{pq?)N=Fo&^yl1GSeMWTMiqScpf{1t&xcsM%J1pQ-TDgS z)PKZ2q9EV65mJ5JywmKYtD1+0vbjuRpF*I+7!>&ij-ROSRj~iL24z zAmiLOaATH!~~C!P4k+z|(nvtG?L8CF- zRn|My*9NsT%oqm;2ig6Yr>|RBdnoY7aP&378OJXL_SywpJ8~N-#Wb_%`i)A)BKA1j zQfihie;!;Gr&OsC0)S@>HkM17)=RH=fd(xNFV{6}wvpa{>(H3hlo(xVU|>)wANGpN zP>V(=R%4|7cOtG5{rc-q$m4QPg68FaHyOSr^|Vv8!8#C{pSax#53S`lFJ%F-N743q z|2|EP;XMVg#mNCXVjbpK+cx>T;ZNPHau8jd+<@|CNIzr3*500y?ie0U z$|ShR%Ii_aN_Ea_Pv%*Y!Ok-rYAH zP*f}_CHX!5c6wUV=*dlnraNzCUCij@=|z8nXSrTVP#9hi^sVbtO?K6X6)39(QJkJN z6g9F7^d!^24chY$?nXxKIp+Ae$O;Qr5??xjm_AJc)uG|oL!50j;%LV5#FXUQgRPOk zyQ1ZDk5-S%BqnnHh2%71fq0f$3JQun47bL3wE-ptSuQ2$)g+NWN{Dp{cd>raDC zmV>LEJ)e2efcK;^VT8KrxS0Bn4}d7s+kQ77RuvONEG+Pl7$;bZqoQAdfh+9AzCT@q z*G+5aEBz&Hb*J&a;FIPK0Fthk1UTC+H%;gAterY(kJTyIaV%1pmc2Ls8oRVp$@}>D zJU|&$^N&uJNmaTXx`I}V%12If7Ej=bNPEu^i~O3-*arqjlH1Q5(t>=bJnKsH2~4UM zZSjrk!y)J)k<74V6b?bZ7SV=O?gjdS@bqB4dC96gT?1t{Yx6G^oUF)0ffJxgwpnTW zs(V|@kN?d;$B&7MGAqayd}n4xFF;DGDJZ_KBHO_b7R!L%d8#l-I!(`%p+sx$u;fQm zGx5|71d&7&aOhZ6CbZa?7%CCBXRJL#n2tFjfMBc2Tn%RSuKCuXkCCcB0G)hf8{b#xs z_u>JrWo@Y^Rqp7M-+usc(m_VY$4Irk@We%$hFrU)Yu>>NN-y7AV3i|--6`|ZlFW19 zWu5kapG+;irFfLyZKgKz@w@WEi!$x%fK64tSRAHa&N`0|PcfiS{m(Tn&}LTFBr}=K z;;9jJ`?0@U%F8;unPdt$xYD$7R?f}?fh=Zk)DC97OYDPDidb|hl&`7OH;Oi!R!v9y zC5#T&CUX07judh_6qgr4ZnD$bnVv5&UGnu*SiZqED%Eo_y{mUHOtTG4gg}_VIk(#_ zj(;Xbm8FflV`o=P;mFd87kMc#y6$&rqIFM(VkDi!;ABnX5okX4RZ|IBc5R6xIp zUaV}8dLCYP_laXsIdxBqW!$S;>%EpAQP(v@rrV2S^Z7TN(xs-ovQ6FLU#ks{6{*AM zf;l4?nMP7FcVqCG2${usT|tt*SZcNpy!&0pnUW-aG|}g1H2t{{{XQi1QLyn(PUehY zy11V)mN|DBo7saP2{4-r9}TSY)`f@k_l#!ZgC#z|JuM zh9wfGI9#N@_lm(vAnxZuHSA5G(JFr1G&r~ENKVU29LW3rSvI^Am5GUrTxm4<$i>A) z1EK}Sw4550?z0*XdRQq5iS+Qt)VkdgH4%5_iHpX9CKm4(QuKt4zYCu*rYHwtCIG-a z>{(Qvh2Do4zXIzO?iuUq#bv%f>|dNadRx<8z%YZSuSJCI;EGR=iO12Pi6w#pRvR4o z6eIZ5^2Lwv`WUljRPLP=and^!NF&gxtluKxWbLQppncAw^mVkk$QhXzp`zX@D!bP)dvk%-|2@MrZWcPBsG zU9y{QmW8o@iXGR}aW1>2p}nA>u#hpwGn)MIb$%>`Q6=Vwg~{QkHlTYkclUc z&MOpJ8sYDC;F{;_vX)N!RV%>VT3Y@}Y2=si%rvaOc zp{Xo4pN%k_m{g{;LdR`85XJlq7BId%cX#jy28Zs#EEB{4!*S2e+J!)>z;?Y$-t8+Z z`!37PxmmfnoqZJb&7NuERg^Yg#`e89({CWqpT@&cAM;z0a(ce*gi?4gH?SjThPX^3 zI3!KMr!u;6>gGQzd&X=lIzbgK^_R3MOolK{+$=J|@7;Xbg|)bqTE3pYvWD}^v-ZH- zFgdqdA0eD*#=oQ^sMC?yxs%gx4Yp^&SKxc_qhm`|(};wBD<^(TdNQIfEw2MU{5AHc zgah?kiy4`*;lpEeFgu&fB&35H0D~J1kBa;GF9IOV%F1%267kyInbcusZe9}eK3Nk! zM4hHyu4)53VPiK)kg4bW%E!vmT;{oh)TW+d3)`ByzQsZ=*-6gpIc*9ZBMsl}b}h49 z0r!?|>C$aYeS)lBm~h-cBMw%?w|2){ z1zT7%j}p5jzlwS24ynKWeCa4XyGOQ-0mwgm1NR`QQNw>}DtMQC^_->~!({t2;}3e?~|fK z))-%MnY|tOLLV8C_Ys^Jg+4VUXfOj!Q=}Jp+D{*5*&o6l26bMv4(1C1PH@_Pir3f?X<1< zjDExpJnulc`iyo6E(+Fp*bdXA6A03OO_o}n84{TBSuG-FCGM*o@vA2q`dKaLSuw^C z8h*^+Ai34hdB8wO^hd+kEs=6)_zPV z`8NQR56EAnC$#qQQ7>}|aBAJ``q)?JFzhAxxT?Lt92lkZ-0IEC(^Gs>S!^C7LWy4~ z11wbr_b1*GZ*71KWp{-EusCfEg)S>`5bt(H0P%_4lVIHfe!ZGx?L+1nqCA zvXU(@2R%&|;5R^3=eBtkH*xAwT1ui6j|MwCyFGUueMB;{AA|`QW32rmpt`rXF>&`} zA1g$GFuSG+nk;Ee@>MI@*rWjs@4AWf>PK>NOwx}szk{<6R2-DbNxBcaFrpX?jHNh~gPFQ# z?QaXsSKA(DjO7Mj&+S~N?`W{v^m*c-TH-W{ikB6?ys}6 z!o-{>6co2(DEMyf%GTTxDvbgHmwD(^pYN;Y10r|6Y<;V6p5DxFKPrJGVrb%Z_VYMq zSlk=VI%$h6tpLl8O3%tGVNGDNZC~Er*qVK~z{cTK9wV6V`JHo~0Rs6Pi`prHg=_2R z;|)s&H>0GyD@CWyq<=H~@B?AnbMNHu`v%yNXWs#9dmyPCSphFPx4v%2&4duD#FcDU3%`M$T*2`_tlA0m+r z+8@QdWv$z<2S-8bV-^=CDZe;dyUvePjP4-9MT^lGar7@`Uhe&UabaW!?j^k!v%7mR zTMHYeuw&m7nsmsw^8U!+H zF2lw36&$qQpxP*Q%SYSN9g;?^bIF&Z@axGduQeY zop&!b{Lz=%#yQ#8A`JC(?wHKijaW*bv9Yv4ORg0Q);s4X#g%dVy)LRp{^F1PkPQtJ z6Cgsoh`T%j3l?xLz@M8Mo17ZcFw`CYeol%u5+^vwaxeePfq5? zr^@_>?KLz~bYQ#Sq}Qu3&}1#u@lkrLhu7VGP>UT}jBU}zZ19NPQ2%sR`B#dVoJ&*Q zehANT-KuP%fJB|6vD5s8|8PaNm5=1=jDaHvL335Ph(6zEn!xnxvc-0XZ+(zMPx@n-aIdJ|Z!=YlT+RQnT@_C>X^%V?YE6{8rLtP84@#_@7f+JFAvy%uY@%DP_TlX{+tG@UpifW!NY7qM z6n_KPk8_#2=tJ=jUP-%o5ho%~v&@(=YF)6tF3)PvE}oI30D=5;4K_9|sdKQ_u5GFN z(`L!|gy>D~+s*5x~YS62EHm^g(oXbHnXB}Wmk z-hV5PpJ60A1`6R~J5mK#ecw18xe~!5>N+hq}LV*6czqY=g}ap z^6rztpw#vdb2qB_W_&{D%b`D0?Rn@qU48>Frv;d_OpAN!{w;u<%Y!C&U~ooNWcC%# zX{xB-t-X~GB0uomI8dHvQVqh6%v}!Ls+279)tysWc0Rn*Q3~qQ(^s$G+;Xfx6!%)K zcgVi|3Bn5cX>n}sAo+@d@b)3kgt4Zd7vGh2*|RJ~y3k-<;rRBvkC7%i#q=m@qv20l zhD0bJkW_b};HMKlH=GvDAJS}q(|6BhFs3~bG4w>fV1TUsFsYo$mFC%dc(A=4?&nKv&<>jd;dfHx==SV6cmGC!DOO}I&{e!wPm%-);SZvtqb?iTVd2Wl8TrBj z&qb~+`5oI3OL`f=+WjY~av=BU$xdG;;g5JIyK$+XIR_s8bULy6)W~Zaz!Dtd*1a}p zzD|7}$Z-{IBv8E*>S$R?WnpkNS>T_86J@k5GMRkx1XQIYpwwvvFlaDt_@@=cRSW|_ zkX077SB1*k3oMQRzR?0kgY}pDu-rs?~fk4;X&LNh6BX4oi&k=krF|&ciS zZtr7WyMexX%Aff0of50#m}JRlRrs(}d1v!Qn+_tY_v;V2P;65rf8~>mrLfH=F=ZU{ zf>Z(l4`U;z=a=*-vyUhUTAbo?)FCvRsX%H<8ubjBn$`p&7QU$H_#Bnv{wHd&sU?0c z0ai~^l^BxLp#rPf?>Fd=WZ&U!; zAvni=cZ-`_Ku?XYG+QXZtS9|Ejgt{|E`}P9BlHWMK){CIxPrB}G#?g_(?n=79*ma? z=r#cL59F+W$Ivc7f(7Wvq0l_fc>(~=w~520P~F!?>IO!7?2D07w36X**M~1u&R#6R zyW1CTe~;j#B)*&0&}?@)s~2xR^rg<;#R{0ZaGq5IA|-&!7tm`r*-{!WACI>$bn`g?Wpu{ZUXJ$G+_vTQ<}Z+;k+*X{wCt z1Sx9%Dq*|%I5g+Nl?RSU>f_+>v-O1E2F5_!XUlqZhRFf8au0Rj;mIFNFq|AID2=4jSs zTFOb2%79XWyk9yQR$WttzTs*~uYMw#!V+iYb$ZD^awi7J-4Meu&t|>-GO0c%G6>G< zy}2LK7E~fvNKxtHtvs#(_MXESU(LmMe9h^BMoK=lka(q#+W3wW{+j&B@g_E82p75k z#OCFiI;Le>EOnruRla8hW$YlmM#%<@uljL%!r~S6Y73$H;i5kb97|`!BijQ|y1Gu>;F#EZ9 z>Z&;4vGS=AG*vo=FoK`%x9KM@oKMWXdx5HD0k|iS=Yx0o19mrLJ=-&{d|ZG5DD+iv zVxa(AaIr_CdVSSvD%u+S^)^`3T-EAODvYYjK$)+(^Db0Kwe|t2JqbEQVguxyeWftt zP{ui$gSn5-nUACZa|i$shy?|;&J&W%$CDb^J2vq}W^K!}h0IdG-A<-RD~zcpu8k zU+YeP7*~55H_UEdRIN6ec{Cnl-|4Z^S6>FS6hYPoolM5}6#SWFLi3NPw{|JFcANK* z&IrO4d{*_7(m|aAyTyU<>M7QQinA_ zxGZPb@W!Fs$t?zIpaWR;wrc^Tlx5GA{gvyDB2SC9R6%=Z<;8Qw_zYE|?mQsU{ZtUW zDg>Dp1h;%7U3YlSBCHhzJdyw8c1#^Ef8ZVTx`N8r9zoB1G*i5EXeWFz2hX|dfjKn7 z(^EX`GS+GYcUR%Wr)8j+0isB={yi?D>g@YQ+?jH~=JW6(#4&4Dk?w?Z0N|Uz1%>OQ zp5p?12))V1gf4>&(vnNQ^Z0b;zzB^r{rudXHU|gEl%}=)Nmq4N)>f1zkb;} z|9Xy_Yg7EfOLAO@OEe8xmE`S@wI|fGSv5VH^n__zx(<=$+gEBjJrTkO3c5--u?~w% znb9sMD*snG5=U;=KY--`R8-O6G=4kAjI90Pz&o>Vv^@{aXomx@QyNKlE*w}T*ii8G zD*=SZ4JsUf5M{QgDC!3OZ@yOvF`h%Zc~T{D_dSr=EZYb-B0ycr9QJAfusK&xxb;-Q z&@az@|LS^#$wp+qB*?=N8YB2nYH;qApf`AT*qhN#6(v=)3Az_x)4+#vlBx?v!Osj4 zJwus&b#U;Q3{As2o2fzh!qC(?P(BE zXU}fRZvZ!9r#&Bffr8bB_+{GZuH2dShJsz>b|9hiU1yw}8M2enQ~R%8!_wE%Aiq&q zC#H4-rMT9eRv-HCzwT{T@rLOSmd&EfqI(_0qSqZ8u8Y;K=FU5yJF9HO1!)8o?`OSG zLONyNc>d?CY!L@mf~iS9U27NAOGetn%DM}lEB46yzTrCrg4u&hcJ6ta>G2{Z!iVj+qK~lMcVp%-Td?jF9Wj6HSeCWs9C$&xtoTGC zj!x|0aM9}&Tq&V>5)e5cPG%;>L%RO_&6{O`;GI_To7RR z<$9F2$^WnX*G4~X_N9VRK#&Z!>}w0^J#Hhy?F4T8^uO5Tsi8)2ziALNv*n%dF(57pG-Nbk6k=0Q zN`dkhXq&->Mf~OZhOV>SQ-P-T=e!zPZX4GnbC(A(;kqG43)!s7o#OLuo&&@UP{t{M z(nHfILsCFEg0Z@RsR5a%QUFdtE6Yec>CW>8wq$?G4WU6tZY;N_pV<&3^s=|FVuX=> z$ZwQh9?HLoMH0#S0XP){a57CgWfHg8%@WV2t7`6ZTaV@jO9>}nKb*u&+cXktt zMFFla8mLM$b6i5XKd%Od*#67~y{rKb%pC87{=LmH$mg}lSq{iaSC{l87`5OIkY1Bg zkd5)AFJHJU&!|Nig;o}>{L8#cpc&nZTW?;FpUIs_7M>$WE$$j%b?NG;4g^(B++WXP zNHjtFpM!;h++5E{&%Yp6je_0IzqFXvL-spbz|g8Kb+&w6)%gfDDX9!Uf?H4_03bdf z9U}V^BfnR+Lz?vQgcFTL#%Sl zUSqjXMooj-FHJ5l0k1BW>NeFm%HdeNG(zkmQqGEjPmpWbXPPh&S?f1eZXaR)tE=sV z1J=eKXL~j=reRaCvsn3;_CIij@SK66lrSP@zCT0BNC$zER(qU3gaiXfqZA6pR1hT1 zMOK?ygg#o*kw8sBTyw%bZcRY;xlB9#gSXmye|aj#3-ApvUm~^GFflPT#w#Yv!O0G^ zSY%a!T&2y+0mEsaYa_Zz+sSZ(GXjp3oL`OLGrna|CnxJ+s?_I>Cox#m;dfQt<+dh?C2=J|w5hLu8(PWJS33l#sWH zvhtSw*Q=o?6m-9JVhmY9=15#LstMrfN3A<#6{l}cxITk(tyaUdCR~_0Y4ucBdjE70 z5XXSuIe&fhNc?{aHL$LJRILwuf>_s@f zd-o^!>a zDk|c&pR8s277XVC*v`+w9Q9Z?2}V(W{vy6bc(zNrpQrQZd)Gzv#lsf~z)mu>v6jtP zkjp60>G)dHLfbGiM^#bbUPP9IS?83F9p^BuS$HYk3Z|3v!#9Cy#<%akdQ^Gw7%%V{ zGxC+DrN-^J)KZDRF`8qfooeD(pZHH-k{N;Bc7DX>VcuBxH1xj8(lRkBw$rb5p2S_w zzDjoPK^p^Zb0hYctlg_AkJq16H->Vi{*)<0Hk4_hE@1s6ePfearO}s)0M7yx%#HHE ze?D_#gevOJtJicH=oREVYlTLTjIy$;rY}Dc_Z922tixlFNe7JCZ{^FtB6bD`qx z)onI1fwYo&L>5)mTN6Ki6|c$~E>zm*hIc%a3_6{ZFmfCp7^-lByp$f>a-t=2yo7Lh zf`==rI0cX$JbkU=cOv`H(kO-=4W zqdgz{L#TYyd%7nHbB6UUQgn164T7$3Rduy% zgyq(a*~&o{IeFj}vOjI7-*_D1kq~JlK%~zWHKHQE(RbHcac43ONEu`7dk`7_brR;w zM4o-N^%0lH3r<MRG$8K<-3}7Ifu+X@!J@i^iEV$taiH%|@Ygz94%ed*32G0+&a=fhjd=+QeD%&3FIb zjzO9k)(?itfh#0&60Ugm{`dDQ$DFrKl`WzCy{$8S>mQHVV+uJ5 zv$k%O2ROorBpbgMui_dhIy4kVX`oB40lBxPAgWQlE#Sem4;XC>pb3zU&yG0OdagJ) z$k|$4=ogUMjM@p&Np_Jq+FNQGky1M#O`&^vl;m-bQ>Q8)bV1S?6fFc!`4dbkwb@9T z-OqO-LqaGiDM91m2}R3ouczrLZ6O&tddP}xg$Npa#qQS4cOLY~s57^(j}{)?-Z!N{ z1yokx`5m0n7@Fa6#@BPu{^!T9S!h4pB;6!6DeR>xSBUU5r78{sqaaNJ=HlB-uU$DX zlbR4*kGHlzj4Ho;`8GT3W2Bg`;^RQ(S2iN`KwOXvzR^0nFdEW)zLvQ19tgx%pvM7n z%`zBl1R^0D^V}}w&y&#&faD;X%-0=e40N7WG+Jzr7x41(>QKPBT!En+3|gi6*jdoxFu1z8)q7<@XfdIvFSgAadYs_@lj?!dFkf zK^g1Z6(#-clNoMN`>5|idl97@RVlQ+o)ocx6LL)w=GkhY zfTkh$YbI((D~lR7t`Nji%ylH(560P8lcKEWPJ4kg5dLTI#}_m-w83N!1JG7;7zs?R zyE@$zKU)a_HTix5(=r&JsG_5*YrR&Qh$DTX<*)#fdq|GG(CsUy<1ERFoCB*?=uY+W zTXE3zJHu}$0Y$xVk~MyUUb}_PYHR)aD|JD^(uUVXIIi+X8wdF$zm0!p)bG2$lwI-? zoo5*O38*V`o=xD74)f^1yoOx<=x~mgK-d792YSG@m&3^YbXKINk>CWkztxNbk@(wP zqY@@84m*su+b5j{tPjkG-aO#oA^)16Z+6aJ&!*Sph8O)lHMBCdxwLc_>;Wmz)5|i- zgw=yxoGv56%01x?e=&F>`s!i_F&B0_3kWe$ud3Ze6 zEh1^Rr;x+Izt{Qwhb8deet*b2BaoIMDRS?p9+5$CgcL0pp7Qux-W`abUQR(%%|M2J zaBI#3RLgMSTm2dq;Kd&6zmV@Y=HT zJY1KNX&G+iLC&roldseyEViB6@5{oJZi6c!pg;GTwLs@_ib&5sDyRIe#7=nIGB9R- z-SBasKf1W^Zg5_1NVh%XwO+u~VKkXI7c71y@?EaZJda;fFlTB%f+1nG(`THTRSO6w zpOr6ghME+sO?VuiJs$^}B0y6m7p0dkJIhP8D!|;J6Mk@NM5Vwb)P47&zD9`(-O=|v zE%5YXAkQuusBeKjucgKD4XSI5dQ?VENhyEDDjS2K;>KOqO0j50wE!bU_Fy{6PU|IH zA&tX;u+4Mq3^RrSH`GnhK`Efll3|iTSuM1P-``S$&!)dB@y`iyPK2U*Xs>18YQp+Z z`{>(VyPqQdAWhjRJVp&Ht`Rv+`uq-nyp}(#C_xp~@Om?_&AI!*L#O!4gB38=hitrV zr6Mjk5%wGSFOqLbWU)(GNu&I^PF=YRYejoHK8U<|^OurJjOQwAWx{q}{CMgQMVhln zo2*N2nN#jmJD_Fk9NGQ$CtCF8vTLa;uear6RBcDM*Mc8A9AUDttBNtAxHdgS?M37( zWmComx|0197Rh1GhXtkv|uSlb3bWrXA)vmb}*`k2f{t4%~paKJ-erO@Um|W z>Pk~fa;=V~;yZgh|yX@{n4XbnNDCiR^pp^38F>@^yFiA*{|af-zPU=I4!S&CrLWOex$nFBS}(=q77PIE(t`g2Rqxge;#D4mAEqY$i z)wH-VJTHGpaS6si8LzUlET%56oX3$^^F#Uv*DoqAnaT2OBRTlcy|#Xn>0VyeK!gk~ zE9da)src2IE@a~n0$I6(@5j(6p*HJSh7H`P8wb;rkqo9%r<&XmY252EsVyI3*08P_ zNO9qMg0m7>v#7O7vZ-6fH&+@L7uQUTg>zq3?fdIX1)bTn(9nSrmK}}ANs@X2Ql0P9 z5$U9xP*pWwlV2_-rb#u_zFlC@?ZMjqGoKrMBG&F_eF4j#h`|FREhNFl{H`^_kd8;Z z=bIWf_7mj3pVc9k356uJev;vN!~#5YbUbt+f0A!!CKOX#8W--&&3`Liur)Nba0z0b zro!#+qbG4;mOh1$(O|`a8<+%0SPov$I>JxU!3O#2$dCB_?&a*0bkv`dE93V--)LrA zG(Utm#qKoKt8;sd7j{tK6={E!z}oY`JU$L%Wfi2rJCE zhpUP*kdf6fGI@^Zr=J>&ZcejSImv+01TR5wfU`guGWU(BB%Cg4tdj7)@6+U_IjDNU zjM%djzv&Z)zw|vV++SBN-znt3Fjkf_ZW1$Y&|`bojO`S%K#E6MCM4+_-uV2`AN_p(zz_ohG3F*fZBBb8HU7)v-D-ML-Y8e27RBE+ z&S0pY&(9f0Co#>Hlp8;J%kNPeYfS7m+0~wKo!hdh@yn}xqryG+*+TNd>uaC6n|WTL za5upzod<=xy#c750Uh#K6hf{WQ@4Kk9aKH*E?}zDH4%-vOvtnjM>(M)%Cz*p(WlsyjNm2KqXN2wyHod^7^Y8MBxDYFNEb9|a= zNUGCx`7g-7EoXlImF@J37Ar1FaE}JdIXOgi@9YtR%YA2*Wsr4TePUcQU$0zq2lv7~ z8F=Y7g0c1g&H}7iN2WUBr#^j%UcLD0OS72q7ZN7%C?f+{T>|mtdKEVXZXaY*$4U9l zJDBD(8p?a7&tm8g?9v`FtG9W)fX!-T`(h5=M}fS@e@U>n$yomv!U|0#AR@{;xTNvz z_KB8}Y_+MJ)7(fTL=9q_F?xz&vFJ`W+-#DN`J)2rI}aC5VF~!tRep7q;O#<2>Pw>k zMrZb7MEG|p@bZ1v&Y5l$NW#;shtTFiYJ;&|w@4DE>Ph^l3#HIZ8Vr2%PFokggSl88 zF#mA$Sbz=hy}wCi!}>zTM>Mn;2kkWVh}G3w?N4%YCHmvvW~}HX{8taYvR{P~$}&4y z$UIOp-f(VQ0QXi@SF@_%tGD?}vYE~Ef10mS4+I*_*NR<<~ z2g8*Mx(Df~r@?q|MDh{sBXy1ECn?&w(u}&4LHfRtkGjbi^X$px}JvK07qp!z6>_F!Os*#z%v^wiM%c=w9NcZwrhC> zFA2cYfR`-DTYal)F*$TJ%5AOTE~+V(9(EF6dE-3xB1|YiW>yPAb)v)X9m>yPvCwBX zz@I2EhY{4;vBdaP4DMvk5Z3+GP)OVTfn(i0$Ytv{Z)aS4(vi%-z_Gs!(1pMX0kgr2 z+*rhdCx~n+>YFdXTwzavxzuK7XCH+PSabICCt5XEa4+C{#jw#v>E33>s|1JnElI+Q zlRy3BnHv$552_@c5&jq&+NP!{lYv$-#4JsM10lf3-RPmb@n0373 z|1ij6c(XQP>n$Ad9UJ^zi(3dV)?rd|GWb=!vbwcL!cM)d%LGS_zbE=Rtl!$50hENj zdY$4f@by`Fp>mKQ#mJulg*~(j-3zwV3qmokdk_KvFTYNn$0y(v0Tx_>i~lCK_%Pn` z4m`fMl1G4w!u4aukw)VO?Qv?Xf}&#HBI$zTi$77mfv+gB3J+Kzs#cEng(TLNHP*bf z-y#)ltvL79p1qRnzY_CG`t|Fz>`m}GxdIMK2oCJupVxq_yaA##*-4KCfFY7tN>n1$ zH#&wdGthR=S_P(mI=-Gp4P44|oqlSug6e)EBt=hr)Cd)s;^KO?{Q8wIvpA70=>)k2%41%P<;sQ(IJd<#K#XGK1^DF^xFpnF`!Z#H}_zBV>z={z)FD5?e!QyVcc;^G~@#2iF~jM>m}W@`aMod_P5IG~DwG zuB*t<#Yu@r)Z-zqF9brX>@gV`*`Xw;BngR#irrM4i?I60?=5~Q%UT!YZV4>kJi9rH}Kn&4da=nlJb9yz8g;ne> zZOy9^ed>PlTRMMWQ?zLp=<4^|+VRcL?d_e~+f!K+&#YSMaH(v#r8HQbpwqOG(IBAUF=+6D zA(vcg#gDf7Q^1Hxm97Gl5#z5iAQGq1J$`0J&ugJ_%Y4^HtF$KIx+z8)mZEVRx0uR| z6Y#34v#6-m+FD7;nWwwrbsOvNUjBEh%gkQ^0cy3>T!mp){&wE?#M`u8H8(XTbmS%QuvGc!G zu0$eZk8AGh%8n0eXPa`i0uQlYexk*vM~o|GkA^*r#|5~;rJi{_#{;YPvM=`+^7>_# z?v=7anVXjjOeQZKIhhR754gE6+_NU#h(qiFi^ep1{y>==Giw&|9s*&&7sAHy(CTg7 zLW5pvUf-+#6dCs>HmdvecfFe5(>OZp`MG({#)Q+W#u>vNEp;B!GQDkgHxJQoguuGe zuTL*cJ>tzCzWbePxanwl{3c{YfP#dS%**fIJQ)9hKz<=%XntJXnwvS(_HdUN&Bf-p z13QDv@kfQ9>2vBCl~dO(KZ;Z{dOVNyXN`59OFGRCl*!VUHO61L0CCstD_oH$JZiM7 zM_vp<;DkJpy3|y%I5{a6zSjw+c*>#_Uh;O}P58Rv7M>?dNT{Ts_C{m?piAxo9 zK|RBkmbG@Pa^uDo6Mt$ANX@sR-gnPH@c>@`7(@;!kz}^gZx18$0wO0mu&Zg<{dieJDeX5eNowKV zu@0Ui3L7`aZ*sP4D-P$S%e5S#gie7VfK2L4C{fcRfzE(#)aZ< zqp56;mU&RKL6$H8T#B!p_7lml@CF-;kDc{W&6#&L=jeT8^HLhv&k#F&8puDgc~rvh z>nGU#vkGHQprN!BTe9;X`hI-%w0P!sZZ8uT^^p2^z8T9#yNqLC|fdh+jp!n{OD8XM>7>hm3W`G$ZPg|6)^%Xx#Ert z6L!0>Bc^`&=P`IOdWhevKZE7PCT#01J~M$KixpQdW#Qel!!Vjp3uZ3YcGa^Flo>VC zgD_WJ8pqze$v0^q`|x!I^Yf<=`A15x|NU7qFJeI80tqB_aPPro-_VRID1Vs}KOAGO zcQk3Et~du~<2Bv>Jo&0M@k**h>X}6wLoiMJrieUy`UCW|LsUj)9-aiXTGQabbal3QIIw5un*hc^m#?#&N1-g{YkA+Dw12> ze1XboyS(sl(TK|OA1l_KuaJ*r7tcV){>19PmmpD`#T%O)1DqUrX%%EOLNqoumLJji z>1`K2Z);`P#fpGg=MO|-M-FT&bHTJyCvsPTp0!&iJfu_H%-rmCB=9NZ??N~MFhV*~ zhXkRf zi^M1en`zBosBA1~3;h$&(#cP9dXSk!>6k@1oyW$vTR2@eTNHv@cn|;lL4dV2*42wH zfDiLeA@`H(Dk9%L{P^MfIP!qr6M=At_^G<64OL2_)uecc*R%YpGQN@dl$_94oO1AY zsnP3A;%V4?QHW((#E}(6RHLc5dv znomGS_^k*6Nt!@P&4y$`w6e3`&{!-sPpBwS`orS~4;~dvf&w*5T*KKw9(+s@S%bhO z{5sR>KVB&Q_3H~+M35>53D(C~U;E9T7?eQ+h53CS>#+ybe;vMeoDGIqA&~FL=*_`+ znBdA>c<4!LrY{f`JE$mQoOqM!G}k zmXHP!0cj}#Dd{fhmM-a%9J*nCXSmlHg<~)`P>5>R6o|2fbXL!zMaqJD4-rV+SK0wF-Zh;O5J4B<_@K zqHV~?$vo%dk1hc@vU&e!{}@9}#6lqlvTv~;Ko-`)`f5Atpc!R?{}wkm;e#bVh+SY+ zE#KIs%=`bKs2P26aPSqdysFpFW_>-$4*vYRUy9$R-_szmFX>;()O|*npe2ROpDl8q z{xO)n{mTLs7ulzX@UW5XyJC!qNkWSG)!jB#c^d88C2IrIgr4X{-o)E#)KG};I#g?a z9ekWae_F|Xzz#~=ar$bh`=$9$0Y45gSO!ZAF`l~VKSAyHt0>gZHnB~;oJ(0eHMmw( zkMOi#Id;3Vc=57p$T!<+H^d`u`{;#S?~nK08^vVLKtlPbX3YxtpJ%v(&dz+4c9^2Z z&Xfb2PN^-gzl&g>dh`sBAt`4U~B+4+aU@(j^rlB>rcR42RHT1#%Tw$AxJttDsLL9CF=P)fjt)OA&(PT9-mgY4gS z;Nd9ee?8&$)O&V-?nQaij%(ugOviR|rJkU-&k^Kvm#j1OHlEg0tF3n*T}6UkW}D@b z9bh2gAka<*V+LdS$4x`a@Lz~6oaPDMdkAS2JMnx!Eqy!AzB5kJ0BU8=(pxjVm}KG8 z=s&;UjS+54hOJ3drw~cJ!pW!6J7mp#zAnwDaZvco^rA(5mcaC#@A0)RwD#^`d3kxk z#xE)5!rQj8@`tf*Xpa|~5D2Me%kKbWBvPNbT3i8KrLs#vGQL= zB6L|I`b5AhiH)AkqZ21$V&h*raMijh)aQ4C?gQxGXhRvpMu6*ydo*vESPz_GT<>!4 zN8*%IqYvwC8-3HEq?ZAFGXwJ1OwEJ*5#gSFPFT<{+G(Hh8|DeWIL*jT1!V&;%F|C2W0 zv-}E_vW3duGhvl)KOe)?SQ>@hC+b=u$dO{cG%>pf${%6IF@I=v3LK|`q? zwLiDLb#-OTatAlK)R@q-nsk*#&J-ismu*44{+^q48w%zrY7?KKpg6Cs>1s695zYl3~cgh)xe+HfcLMfRKi?JN08B za1Cs1mwxq+=fC`_B4uyG|1&2eD#S5Jh~SI)U zy+|b&6_4FlZQs12INhpYzV;Kl@LC@m*_U26yu5o+wK-OPK88+b>M@*;Zr#?S2ZtDd zhb&hktfVS!*b$Tl(UkmOjI@^?hX60bs-uR+&F|ni@64OV#-NJ}1#t{_IxCP#tz3}< zP6F}MW%L}yf4Jf;+j!hc{#Dcu5c|VNtz|y`)&KA{I>&U^)_y`T0|^HcGaNqQ_js?j zQI2mgdr+x0J7(TNHMfP&w@N7QC>s~P_OE3f#GKrc1)uWe+pgL9fippzqe>a@3qH?m z-HIt9aBnxS7d7IAF=1lI)2CjRW*w&w+ATciH$C@gCiaH3AaP1}dV(yo%gUpF?SH+h z1!xH`Z$)P2vbS!^u^IjwKqpafVePj3{^x53I3T^q$V+obtKwUB^J-nhqtJqZ6HCY2 z+uM3AGt_8WQ!T~JpS|dFUTLQLzB`Wv;dyf{{rmUt-5a6@eVMkLk^Tz%_{t&^H!Dmu zKK1K$;deGCy0o7{LQ-_bL70C#cX;(Ju!c>IsOQ5JySiqYDUnVgE|^u5^|_&wAb=Ls6(MX1v1kUP`Mc1IBHimG1A&igZql}u zd~WkR!&FVV6LCxd!OkEMU6+RrL_Sis$dk<;adAmfS`)w!q*Qs~eKVS?XoYNc0L|pJ zI6FIyDtXmX0%?s=2r^d7&BMAMXMA5MHQN~(`PY*e>#wkYQrS#BxV-MS2c@V~LUMfa z=LY+kCsW11cLTSPmLVsg&zygep}g=5-QAelXZLP@Av?EWht*I_vEiAqySw|?+0hTp zs_oP-muGqwF@cX!j{vC$+|8;mZ2y>gep76K9U2vt;A!dX!?$gXzA1SS`Y%8KUq177 zj7vR@pAJZN>hww)W|1=h8Qd$$H57r2{=_Nv1E?uvwTg%%CX6?fPvQ_Y9wgnreFfsJ zE2F_!#ccSQW9i`W)?8(&b$Pn{hr350XQm0)XIOk?OiG&i7Pqf&jMub4MQv#=?{D?p zC1b|FLT>?7>es(`PvPn6N@<=U*%Y(S>obPmik3LXvxAHDaK0DI0@pP6>467j_1q+^R`+~pv_tXLidKA>#G zwxk?vE%9SheS4@ee`A67v+gKGMTlsWD_ZEws7K7-w_MhSRpl*$Dn>E5BwCj%<`M3- zbsCY%{i?4QE{t!yq!aKED5x>^Bg`*Q5;>OlIAIQ z8M~?ayyc%R#YcVTpO>9kVo5csnQ-+J5F*sIU<=hd=rW*Q$ri)_UG3!?2=UDMpwH?EO>%oi6&(5~r zHT@<&giu~Rn1w!IGcQty7(S-JA6qD<)-U_U9&L}Pe2q{+_%hVc)=;2A8}g)&^0Ys- zJVM<9zb0L6XoW+3Rr&Fp>w+)2e^V>Kn$AdO6+xc5=N2!d`cy9J)NlzGxXx>7!&BSI z{!LwIW>cnqHkQ|u+ieD6G^@tHGrxtT5W0Th2)rS!|i*LAi~lKTaSu@k|whMLe8`03(0@8UNKP&is9@`G?c3x(U`dXvHW8MyEt5#q5Cx!zW0so8`fxh6kw zkPu^zJQL+Upa2&qC(MWvG)e-<=^;p3yw%P=of49wJ&om*pQ0Wm%6%+cm#3edLZ=uH zbXbob&9W9|EH0MN(fFH?@JL;RHM9ItGiqRp%ND=5SQ;;I`(tpMA)wPvtzc2hXx>Br zd&St)iJON;`J)E;k=xc=yhntDk&^F8v4#kb9mWj}l~54S)cu|H8n>>J&CZytXgNs8#L!~qp@7;=U-x8LH& zsyJ^KzxUu0gX>|%c?+(1Pe4;R2#y5=#N>T1nU;1yK3VYMb{h!-eVU|ld|nU8rqw8f z(Fg{CJU{W#qeoxACaCSisear;q4XUas>fnvryG;u5J!2&RSeQe!QO!Q_&nv$(UJet z0+8*a>2z{ox2=lYm4hFT5n0QPA$a3=;|Kq){4r0ZDSLG_klItbHrrPWW^G^je-Em5MZ#IMt%xiE-&t?7Rx>aoBgTq=(EMe9y?IN3sT|8# ze7gR*yuatGsJ=}WM1L9`due@p_N)fjZTY6b)UdO+_rb`4i-6MF7!sPYVTjll-_sbT zw_D&%5TxeR^zayeg)_a0JCg??oGE0I^=;x%5l?gQbQOa;Co>9dDGRXn;8v{uL4XA^bOb-H5hqUyE{MUPaoH1g-%-mP zvZ&WN4ivDO&{g{Wupd7_g>oY-w%@zPJls@bSTD!77d18q_bLmxQujRR&;`i>cZJx6 zBE~8YA72L`>^}Bezx!Z5*<>yQ6lTsjS^LSpjSX0!+L!e$+S@4yAYoQU)Ss)QMk*Pw zk~mNs1M0rl&Q<_|$DFUY(vijOdOfRdwEe&dMbcC(Hle|^X)ZZiekM+3w!s4UwOUxK z4p<3|*GbtmZqpfMl|582`qHF zyzf7*bSsp*E6Z!mp;t44b*vu8+%`WTqX&E7{usDBt`2Lu&7a0)6|~a|m~3hI22FLN zX@j@pz&17_*vExq+?a4eQzC&!6`pNSZF2hf1`bRRXtwJ9`Ub^=Y?3{{Vr~2@q5O>q ztKU;8-=Ec=goz&QCi4oou61Xh^9L#BuFh^M&R&A;=Q*Q@yuCg1dmJ2evt3}ycK==t z2hdj9N&zOr3&7(`=bp);$k}Dw-ER!O45{~(`*B(jmy9BoFsoQ($YHWvTJz~Db zDVne;J^hEBQ(t}kv;4@}{)~q|8Qg~R)k9Pu&`9VSmLnD=6BYN<%!&N2TRk_HTV+UY z=bX-p8Oz20IYPe`JpB?OxP9(vV8~ofr>dH22*v9~-}>fT=l}3kfJ4Q(<@sFCD_i@7 z7^C8Zeu$XFVmy!FDM0I9C(!`ZIv^WFo0ouUCUNhXxQ6a6xc75=wbq(zs^%t1F@o6} zodhUtB08`V}uCu$wD*3B@Y@k2ZDFE`-zqM>{=Rdrjo02IWj`nn% zn3Z;G!fd?RuE)0Vm16<;)Gf%mTJ9RWHFc2u6}EHt(KjxS7mywGf%XxYlbHVO5Kg>7 z9`6|idceP}(dgYsaxzaw^p$qpStfY+*%JXh7O*K=PlhkQamDq5E3o7RsE(9DSr%hCu1J1XHU5%Iz#SEL+U{?S>I^`I zOeBa1ev_b|)YD8UAD}`vdN@>I^v8&53tb5~h;K$!-_jOef$gcO>=+Ra{r;VHdvpPR zZ+<%@J>uC*);Bp0DN1qM=@Cs+*ZG{cU0Zu`9y;HvfH$rg@-?lx^Ko_prH9it792J! zR9%lL;WScioMr9|NPZ=ME62||K*1fiY{^|R4>W<1t_YwI;=2rlh!Avi&$I-c$k0$) z^cTgN-2*8N;DDmljI7-MJ-73DEvXqQ|8I>keCMU9(8z4_K88SD?Zwpiipd9RcW@b* zZc>*zeiZXjd>l-m17-I{$^-x2+Ltp}ZJSOg-bJ5C1Eqy z+c-I?$s|DZ*tB5incVQ#-Z5e;5d%(^p7%%j|ACgBVNI*nKZ=$$thw*B;4U$iv$g4H zUF$uE>@})%aG}UdqsiB*w@8lmmX@J=#E8!ZIEFvs(gueHkql7-IIJM?9=!FfyA9gWmh{y1R2c=Gg1Ba+IfcLYFiJss_0Cku8z(>sq;av zaJwSv$peIUK%42}$V{}*@i8cD+zN-Db$c~`_Tjq#B@QSRnQERJ+9s8;1h_gKoUJw#$jn+2h?;^= zwZ$~YcX=Oo#q9@Sau%kl3Jo(tED&Bb}U%>4IoMoN>? z+@YtYb-?l5e-@Z6Ad~OKab^Hxn0LMYI>&`Gz=inO(|Hmll=j*``vgE4i8-5*`~T%< z5EK-!l|^Au39}4F9$9yUhJPQN+bt)4pm@%>CA z)wYDWEo>Eu{ND|51H2WU1h}C`xvBkoa+W5g)7|NJym;69F5wxDv^f1zx%3elZCx*$N?8SPD4pvlYWl}bSI>g zW0rj5^u#DJBu@kG|1VNr1Xbj3WsY@uQ)npekJ`3iwmmLlf9D)?+zHitSD4f)nTGxp z{YCbOwA?#`1=UB`*r#V_+x7M60kyMpHqb|0Yf=xlzqH_xiReZF8ud_!4`qJrcBK=CWa6^#^BBI!`u_*3=()d7T_y6kPH z;EAk+MPjBVla)-?BJE&}V?etNKx#nImfXBo4+NAsgX-}p?c3Z*0+h_XX6tGktA9zsM74T#Mi5I9j1 zerP^N9IkVWB{}P$Kf~CM;~9H82}Y*QqJd|OkMU8i^LeqcyKQXj_)~Upw*U;jy)A5@ zn}SEv!p9igpF1oT^667P8iuC^CLq7w6jZT9Y0mj*OxQK& zN__Gwbw6L{vcf`}Kc?g`9BrdmmApAEP5up{Ukp#B1dji;4nBK8X2!? z+IG+}lA<%A%)Wj2sfF-Q$;gb!3Sc2d5B>lQsn$|kFLHog)qYo?cHQHCDMoxCethiY z;*$Rv+A*fRg_4TMdkQ*t0{u*y;~-yCNu@9YKs2?qe4CLr_!7!x@HjpmJ1Q#9kNRHP zcIIwp2S|~mq@?UcjPK&mjBY2bhr$m4v^H_-AW)S*Gh10Wb`EIfPU)!IP0957(6fIs zaw}P8ozjE<`bdy(_xBNMR&XxhRKEG$tcs|ub1b9*7J4-oKK8s?7abi$2|9YZXRkyS zCliulmn~mI++%#M&&Sfy1;{hn;|3#%94`Rq3K&1)l!?pRv(q*Pr-RFC{_P@eRxdgL z&;x)vUL&t*Gv|54#N^+fR`wIqgv)Ck-+DQt@4p)22D}&E+vX)gcyiQiz{!k{xWKr-pl>!iG7ETV@7J4!g3)N; z=PknN{8`rHfjM_msmn`pxwP=Q%Y#1$$aYS~0kB3D6GJA14sqz6IraYS ziJbD_SIea^UitALiEe5O=AI&(LZtadEpNPzu0H%M=-7}W#?P=ek~UP%*tkx#jg$VL zo3{64F;#i;9`r7|-lxa-uCaSL*2$#&9t;NGS2xqYRuEz7mt`3N3J~qsBD=Z!jXF>S z&JEHSD=*q4=Rm5Tx$pK67yqCR{PldPw&bCqpbPivdL*XQoYpdY?uitZ0(>q7J!vI9 z>Bu&|@3tk5W`-S>k0Ox^$8}_^s%{zzBk%6XCIoXo2oo|tew_{_M9A@tdv2*lqI3^($^}`C}L*Uxcz=@OZ32yfsU;q zWhTBMniA;Fof@l&C4Z3!kNsI}(RM#cwJ=3r z+yjne(OVItn3t64$0;rFyO5Ppa-apzs+_eYOK$BK0_bU+*6uetMHg<=W`_hmw_(<( zL{FPJ&f*1~wFRQ-Si_+HgwnaU9%r`^ez(mh?oy*iN*oT6E>dS(MnDj;j}`Lwn)g3p z))1ngg?!Is{;VFcIX6q{fRZZYdn0IfJN+YkB;>bpYwe1WSMB97Sp*O$JZcbikh2Mz0^27eWRYxivwi@$a0y0mM{ z!t=UoIQ~Ls@~>X zqXB{U$vWd;DOL<4_-E*~TkkUjHd~&6uPv-0er~X@+jQFLB=*PnY0Jm|imEt7Q2FEI zg1l&pEGXUZtTwCsy(K#G>@M%?NoT+bVF{X0YVv#B(^I(-PL3@jri;EyYkWd7RxU5Q zR3hR<=S6>$Ff5JiuV869uv<5d@AO%{zu(a%@al>ONc~@*)x@zR-W>=58T17TkmPQ^ z`qgV{ZE0(oOXH~0`k3oX2YB8t#u<+Er%Wj|$)5bl-ckxqR#DmD^-zF5g(k}A?NfYk zD-bI>^`Vj!vPu+k0PT|(WdNYKwt5fv6JX6VjT2|{Z9u35 z{sr)URt~@<>bwjNW6<3z0au(B60O140)O>}ZLaD5qfv+vz5p`R(b<#mL^dv*KczUU z{7bxVE7pu^94~yq-Bw+u=Y*Ts8%R@+GiINp)Ckji#;d4SYyhFjwYh?gMk2Ub|2~>G z{cayAi?>+h6kG6D{x41;GF<>vJ_J%4Z|aaYySuv`1x^z5hM(;Pe?Y4X==tfpF4F*8 z^?6TsRuR}OxUlo=3AHUyPQsMh98DLDY{b&QtFwSU7V$Y@f`UNLSJmtQ_e~{7djmM5 zpI;LCOMmJMDMy=b7RtF%3vYy#G>*+1E3D6)!_x5kTp7Td82?wa3@86az#S5+-a9n% zkGCcLT5~|}?a!TseSteu&R>J(AYrIh%rq(}kmz3i++A7aqhI9wLXn?0%kx7ny-x~= zR>|kvU5y$2t1wY#Hhw1z1fz+83!G5H)xS8E;Dd zVeeKVshpnP1;1&N^xFjzbKSCo&25&mbc z-tX$cLeK20vgh_w80WQpPe_(8?1A04mQIh&#oA6;bMLt5T<79KEiJ05XrgAqjwyB> zlB5SCDl9sd)yQHv9WDGIOXBxteETj7s6=et9++IuE%taMNK=BcfQufK&qViDhA}9WHPS=wx z42Tga;>LYRB^@id?EU@BdI`PAt7VU%idj{+!<)&-f|Qi+(Ib#tk6My+h`ryiMceuW z`k>iDjbuzsO|_;}&yciQyk3CF37F*xg81rEul0|om5HB0&nCpZ1;Bv@d3#%p z-YP#)P*FPvqK$Hs{BzZ8G{}oz7Be=vt;m~c#4EAnroBcT4vP+_M+Ins1_<9kGp?!l z#5{%3!;NK+F{c$Ag+WjAL=CXaU6|a_j*ytXuyGa^UzhiIk$eHOG*}BUNBmIuSD>6W zLb=}zAl6l$>sRQsx8n>jDt#gLEP8nL*QmmGZrx9BtnJhb>kDL*XW>iXgB~8GU*qYp z%+)p`p7u^(z&yTJH;#e6p7}_a8u&!R0wbE$oYY0;R_r-;Snv ze}u@*ee}DB89;~r3=d!Z``fF*S0y^x;032uWtuI{8H1w5+&l zsJ%5PwEcT!#NGR@jiDP+GS{<1WD(`8Ac4~_pe6kmzI6pRDJ1*unSG^i{hAoR%bUq} zz?Mu+GYv@A=JYRNmY`Fhv-5Qvvc|7h-;!cMDw^QgYg}RPX{UQC!bG$+2Son8 zrdj}T{yPQw(>P*UN~=His(_XIPZrE>_vW;o4V-bGY?kWT`r}VJAMrwVV*VF zd^mKE!@A_;AGYBmZx@+G7@-X#7$MMS$f*z7ai{K(ZO@UGd=ah&2Q=FPmJKw|iRldK zKhXg2GEjLBzvR8^rhdT6s;X*)3Oq|2&?CuwF_e~vtze-CTo4OgCVoz4a^sV zWfR&yE?4Kn8f=i~0wY9n#{ePxfyL!$HxQ8Jti*;3;G=j2az+_qliGg{|GfpZ$R&gF zmZ4u{=1+sV29ymAoHrTEoC+@|XCrGvLW+phnrcc_^Trf%M-`r9b9mJi*&1qVTUg{} zQ(QTa0<{rPf%jP`u3?Re%|>P;uegHza@q2TMHrlc5vrlYu~x%~xty4LsXO@>!}FCx zp^9vpRI#%tLT+KRYE^nKID`k%jwo7FEz~wj-(Jt@)-==T-@KY{*MxG-wrP>e%U$B5 z#8&>1@>9noT8;9r6ZN%S`4W=7y1~eiiR~xXpvzVuczp+2kMhjhbdQdYkB(1q*V?9HcBt!4$#_# z{L+En}`O~N99gKIs!Md}vvshSItzu#*M*P|>V*>4V%Ub@Y1rRG^qd#|iP<8R@ z&F+v?_umT^#0^y#HtjJSSX5%6M?K>`OY6i4igIi~j_o7H~0 z7CGnXexV(u1E%eHgyYPS3xySDQ~oOeG$}6$y)&-W+n>C-5wNylU|>jFv@#^7(nV9c?KZ`v~SAHb?_W8Wn4te-V;mb}X)%a|O`iq=g9n2m59 z@Dd;=wEY5H+GC4FRUMUz?rbpXPSJq6+-L(dQNh%h7xIgv3~T>frkx48cl``qo3~P? z8Es@-#k~Az8!`BjMV#ny#6+t}R*43Fu>7^8wH84 zAot-I5?>)4tn>GL^cg@?8%F0(5t5@fkNk`tvJPJGfv(`Mk!jJBl8zqUs?x2lKv9XP zK$*jDs8A*GntXh0Dk{9Z(#*z|=l~1~&Q_>GU)Z_q(pa%C-MP2#0LaNAcQlg4y(@sG zy12#t-#o9CVe^ZEhMc3^Ve z?uS``e9d^u)E}lfV%G5H;h6u81b^P9jY0YZ2!!wZ!L+}ic zYU+hl^mn~rR-(*IiK7iajMC`?5dV-;d@F$PCi3S>r zQ*ag=FR2Qcmp*)`NGuzT8ForXVqzaI61)~i4s3lwQ`54uW-Vp13hI0^o2OhFZ#0RY z5%E*pR{uk8ng8y)Gf~eVQew3efm!}S`o-q3rk>V{rPHtSf&d*Qo%G%{FEAAWEa3sr zZ@YUZGde(gk-;8F6c$X&Qeob$twK$hzi}Iqw_M#~Jg$m%G9m$ZoR))+(`Kg0Kwc|Q z#RqozZk|^*9S?0ZHfCnhnd@LOH#IfcOcmQ$<{16~>IXm$F*sC$Mk>%n1v+%fT-|Id zD*`1!cUvFwj)K##HojNK22@)^Mz4ER{$qID#lSlyTvRAqGZ1NrCD1_giGF=^b2o`g zifKNOJdhX?5~3gziQLfRf!TOGk!@>dDOO%O9X|)q`f6G%*Ba2*4Xy@Nap2OiAYe&B z!@+A#fOO{%Jp;=AB~hH}36OdiSycLdxt6V3kRe0Qg|o{8W}wUxed}LMq;`;hX||ac>q>c%4!=;HP4T+Es$N?^ zJsY){;o^{zlHz0`y6*3zoTt4f6ahA#Dynd=(4TqRFn3uF`fa=&HaH7bTlJ_jic7`7 zL69cqd#s767?Q(*Ozpp#8SkI5xm?f?t=t=s`s$`<&v;_&SKSGq))rM@gQ#X zCH(&wNx&hB$E>bZbHZKIbo83-vspPo6aYW1Tp%lvKy(cYpq?A@HqESYseSAf0gWx6 zdX-onqN1i1`h~^&dPjgn5sY@Qo=-=D)2CK-8dR<#AWgL_fQ|6=rFg1VDp{OU``Kk!Eb=c~HAg&zxCCJ~dS7K%zU ziGe6(7y21s#_^S-=4~jF&aSRMEKDsahbxgL4rgbpW@f-(&}jS5pF*rf4D$3bcQL~R z!Q`id_t*HF5rJ|~a?QE@1nIyEYGWr}z$bYi{xk?E14R<=`Qtf&1B2L-DA@8j-uGq! z*k()1DRO}zaHUaI4cc4XA=Bzc5%C+G{{VzOPWfJ>wG(32&p403oV)d>3Y;oW-d7@P{+gR)+c9njEb;sPh&4*ZU zJ6MFxH;1m8{P9^Zx+MQJB+D28JYC*U!l(G*RUv#bRya)icKmbTAi&53aB-FRH`Wnp z*3@K)eoYA|+*1EmJI#*)qI>PhdlVS)nHm0RDJ;jp_%QUvy;b;ggD~$;LzOM^+}_>& z;xM1R=wvmKV3TA4;WtSEkNDn?@8$Z@xfSryuZXhZdF4W;|m zYQ8J*YaYoT?S2&?74p-#D$PGl5ok#{_iH?qIv3A#b`#rE3)R?a!NkWPbLj5=!x6l6 zbRp6o<2ih&7t_)4g=KHv8ptU}Zoz$-l}cs=qwm~k7Bqbp;qaW*?Wze`x%KNE+cTN+ zFl<}tauj`$U(&X36HWQ)Ha4a@R9+Az_vTuLKjWH~;xE6h_a+J{TA<_gLqgrKVdI37%k&ce2mz$X0xz_ecrg< z4F*XV*}QkeN#|UiLBJB<`-(kJg>`jK#jMyqV5E90>m<~DL-j8VXzIAC?RF$juN4@f z=eOlsUJm^`p4`XakJVZ-)_8WQ>@0trs4#dRPhhy>)R8<;^%+gPLCaj+a}=F8-(x4E^&Qo%4QI^g0fOC z&GR5^1p~bC!hhV$;>^%>CZlJkl*S{3O_03ivG4WqFffP%sJF}({&98Pnu|z3;j?P`GkD?xi%#c%#&dpKi5Fc(Yx38|QesJI`i;9V9IowEz zm2S=ASbb$ubu1k?ky@(bwcjl10ki`|V35*Z6y)U+2_*jvBI`w#91gzYN(o@v;_aA? z$2D}%E$tC)e`aA~Vp2*iuID64ivwC$Ul? zmW2FCgU|*;auf@S_a%HAKmP)^8k*iq-&DQZ?#qu1k=IVNnuqvHSKbWi`W+0l+>OPm zTq=WI+T?_T38Bc0+ivlV`-aE!u~?X~ny!F|A89QOz+uxsJ zGL}qELjwaZ*4y7YbQfK&fvD=JH@^)gT>i1@T*nx1qfD$U41&_@QO1GSgpluuKE^%+ z-{s6UET|S`ySMT6vLD=Sk=Kj*RZF4iNnhL0SQ<2bYI889EUQFGq{I; zt!S=VD$dv3xwsb`@d%n2XfaO5x~-DSDAB)k48mR66%#PQ6t(&nr<#mIiHAbRz|gMw zw$^=wK7vu`y+Ta)ahI;c>B))o-7}j$k||A*_fa#4JJzyC6L?d}gqE+LgI$&NpTL8t zkpNYdm5?gmnxD)1pJ4dsaVY%ecq*om0Ub&EAX26JT(s==SED!>l3txyvq@S$?(nSc z0(o_?IB)H=n*z6BQE6>b3pQQ5%dg;MVWST=@-Ql%*SG#Ut~ssP<%9b|SXkJfNJmZ0 zgyLU+G~a$pOiWBF7@W2x1-VDwa4OhIjFub8tRC}%VppQM=h1reK7mJWPl<3bKwT0x z{KV_}X7M4&duh#pxD4Im;5Iv48yKN!8?W%pLdE4B>=`wl+hSjf#dF6eMBN{!?7VJd zbz`62O8*1@@MeCC7gXiNj~Rd`jzvv|>j0gt4(cTOz}e2c6cs^r1R8D_xJnLBX$^nc-8&m`%W@GcF2Znosz zbFj?bFtC%O;Qe_1WRIHtPWrVtPl1?EpviYF?Ytf;dd=xI0b@A~R`?iUn~-SeE`OWw zB^t`L@W)w6ZD2gCpJqBs0a{UhTCfRYzx&zP>^j`F%w4)l!TO;hQhnzx%)jDX@4A7C z9cr!N-3n{+*m!BOF9SQUK|6P?tcpZK#&_j8>1C42@P5C61_idj%F4>g$qD5gR(k~m zmbL=&LD9v>Cuh+yF}OH@CyyGmUeZz-H~Sht``i$PZe-z^*f}g2HKG5KiU8uj_GJ6< z9Rd88--V}o$#xS&;xE|uZ%Nm?{eGtc=XZ;XH=4durdOzBnN#C;*FZxlcnUbK;*%F-PNac;q+0;^r=p@DM9HkFanrOL zu+$DKF6!9Ne@ieI5|s|+;#f@e%@)ht9D4wfAjQHY;t;}o=v(Z|^xqBS?dLYVy@IN! z)-bG)nB2`_w%o3!!@i(~*v@$#WW)$RR$qc%k8!@2&|6EMBdSJb+9h*(pSy0uarMd2 zcO#6MW-}R;_|nhC>N0us=sC@4gUGCo`1Wzn)GKKYqSY?Zfwba3HxAliP1E)h5g0X7 zg3?Z$(ytYguF^mSd2x8@>k&6829Xd2xK!wyZ$51;mxB%tmsbfS$^453n)zV&*6*G# zip^iDcc$F!sKt1A-SLkyDJ+z08zcH5K=UE=e&tnh{`rtVML zC{NmCRAL4kXt(-RA7AuVCs-1^D<+y@i#}q+5QMXC?$dmI!{cHc;7|m-=rTL=uSX{a zN9D)rFwQFLhme(UAgp5x>J5NjyTL20Zm}F%PWL0&7d2bTP|6N=bY(f1Ib|48(~Hk= zww`KA;t@Yx{YPKnldx(KM@ERK#>#7}`m$%7eH5Oc(Jb}LyZAqCTC9P5wsuv(gP z_oBK-?UXx)eOmO?^r#-OI1nLm%6<(now9hA26TFqpQs;ijAk1Zh7dSkDB z*P1ZHA>BOsts(1ue|R5z0Il~p?5^NgZn1Elzrl4?YTWGY;H4+`nDr26wYC(E&HQ*# zZ_MBg3*v2t^6#HUoX&qpYz!Qd=JJ07UiD!#xggwFn7K6_7_+CP7bx=n-EQ@72fuT# z_^pbkEAfG8s5iy z>)+YYb6`waexr!vQr4VG!s&HBFiX7ch54Q@jzF8UD5W$@xJAAm6VDX|&=SohB>}cN zOi>(v_xScjoC<_?0i-4aG83P?N(Sx>3#r}JxK*wO9ef+WiCv#J&tIyfT{RVKZ8jU0 zw465}-?op<)4{e|NWJ0t;Z(WkoeXtfoH#q)Xpw)Y5wEiVmyW|Tgp4TaYr}!w-ST^95r?G+(bV#%EmLL8Ck$_+NlpXvO}!79E&5Uu$}qR!y2}?%+lGE(J z$jSLb0uSV1(R4dnBr4!SjLk0#v|R3q)xh31+Y%SPj{B|ZcT@pfn49>S^*5pm8qIic zm`UFIJZ5S}r}|a{gZyjq;rqT@8GshI8WP}PD+u-ExR%EP&$=!%3Cvdkm~Ym)=*TN| z4Q>z{xAqSVhC_}^i@@XLCF^(gBFwjWHw^A(wa3{-baeZTc^0;r|D_)WV=# z`&%?$h#V>(+l(lN*G@k1sgb3wLWX?aSd%;mKmuQ8_%5O4fy5EmO*~{(Xmj)4`kvoe zo?+@f4q~%rE~g6(c{T1%n4szvWz)0Or%UXHi$`D;V`*4S=r2I(69}Wx_uVYE=1(vt z;_b5;7{f_7kv%#^1xtrO;_RDc>R+;wUQ|6zgGlIsD;XLE(z>f1xS+nKH7+mtO$0X_ zv0)dd?7ffC;D68iucy4-?&2SVWQ%ElBh=$~SK)y^ia{a#(FlOT;*E6jM zBEu#|S#C@K?n$N=)V!S4O+xlSHf$DQ`QyWDIcJxV7Jb?Nhrz{R_6IN7|ku*1H?H8<^o|~MSkZQTj$`F)p1NIDuHMmrp+Z(dK|Mnb4&J8Y{}J_;VO4G4 z+wev~P^6SnYD+hw(kUSzB_T*7-QArcprnDMlynHvjRF#abfr8vIgJB1hFi{4!8S0Y$^^|h6&hPrs|ZvMO^z51AY zx}{Nat61MK1R~pZc}~c-2cV)UO2_w#bt&}KXlqk*W^8k;WYVT=DqbPaLWju0T+8Lz zpsx?`cjxmcn`y2*dFpV8qxtJt(=~cR82hLU)k*gQNa<+OLLdsNTz4?lh5Fo1q%L=S zmmYm$k&|(oUOT?;GAZ*b0nnAr_Y#fLXv2)wBT+qiG_~a7L$7VEEQ|%E0fiA|e(_BI z&hoxof!BygN#(qy=KfX0_Fs$wGDK8_!%YoHQT9RY&c{TAl3n-px)OL4*CI05Yt|Jz zo^Fs#Sc4wZVLZ7}nMm`@;NEat0f;98$quanqWt>Qq_1oIbt^Jr41e}z#G<3pqL0(= zc`!U#WVb$c@_@LYU39kouKZB0bl8c=*F>KQ&bI6C7bABrFUHz6u@{sO*sr51%3^h=;pz(ynHH$4oi#$&q0|;ETXE-ja>DmuK-^ zDAj+0V0y$~+&1N;x8bIzR61TTWI+t84=(l;8{Bm2?_I85p1W3DaLsb~X|!_zr{L7B zG2KlOfr!#3CVZio#4B93lLMc_63qonBdQX1F*dgO9*%q)`s3x*?X!-{Pe?5PnINxN z(bp~Sz#N+OeAk<{qww^J4bJYwLg(Q7e4OU`qL|2hP?5RH#9uN-lfP!N#pPO|>EmsW zh{%)4;rJs%6lX4K8Qd>z?C*^G*j_4egNf6F-ZC%TdwKGeIC2(CKkF&?u4Rzf5+obg zT-c|eMy-Le&z%NxA;Vuuq$34_1B@1u=XfX2b@0S(I2!(a0>lQtyV zEw{UpypVI(d=ztoa2P#hL$DA+ZMg8OI=|T<8rR`GL+a84kdP*BUNk*ZD(bx1Vp`Q| zb)bOEVY=2twO<8Z4-!Y_-A{uzdDBR2yGI3maoBKUP|Oe@A$ z93qce7th|r-WwZuRPfW}Yy57w^^if$dl^yM2k^98=nXv9N?msbUKRZHaZKA^TiC@Fim8Uq=DIw7)U09Mud=|~!CPOps%=xk7c20c3)TV6eI za`rr+bQ8x%4`(XM-AOJ{76`q6D{7uh0zXJ;`X?lK?_0Im#$+(UWIqs9*dfJQT=M2z zuuyUXC{Z{};lK%+Q}@-cEwASrE}46kwlA=zH5Y$H*6k!@$fmHTEZ@#5*Ri^CnKD$; z-WYAEMN-^HIWfBvi52lmx9gp6DkP6)eIQqe#U~6tGRoU;Z(8*V4eG8iKt5b(K+wg=2C6OCv1zDnJ|kADP` z;>Y(wzvI2C@Oz2^v<%d}u0D@^w3%-kdiJ+sB~A|76-`PzB{|M9ETwro)Hh0WU@%e%fIUQyJBRl)@sucqkWG(ld zqklEKy2`zKKSGC!j*2KIYWCZO;`dNWg?L$f_sZ*{pFF=3ry|xSeQQ#*8L`kd_DE`02UTY-dCVyNQ8{U zV^tQ_O-x!T|zb0Lh4$bmTL)v7C1*jEyX+gSLZED?Ro_!w#V{f=1Ojn z$u=5h=PKVt#}4>A=3jRcwwPsvSM7kziIZPldk3h z-kZE3(kRO=_7V-+7LcoX%V^KzPf0t}p7#u7IZO(f^jMi55P}Ls5f;L?MRnKt)>P{V zL}9e6-!+fP&CxUfcgM%+O`v*7LL9q^Ta)*d!81<-g0DdtYB_zMo zVm||FkuG+U6~;KICNSUfF~vPVo*vwl4r~nDP#e{l$Et*9R7IMFG0?b(SAdXxa-Eo&L3hckkZGxu%HPrMa0CY1~&;QM34%@?$@y?;XoL09-Qu ze;@{6qq;$i{&M)s>45Du1U}#NPrDwCCC8e7&tSP+#}1@Am-9(+?QyOfsC3=n*{Wtg z4P#pye!zf*khTC*e(}@nQ8^{wT@(BJ8ute>NFFXE1W0+)P*}6Y@5M^MVq$fM(Ar^t=k;N;}N;|J@jnnbiX0d_i%0;lD}?vlH|_HrB}wnW=n0lISGNBkCH0maz?`mnSiHi?Wc)r;E08ZEv0CHmP< zwtrSCO}{qy9U8SesS`HtPo(1f<#30UI^_Hg78Z7?LAz_vR`Q@0idJ2CpWkVJM-&Xxj=28pi zRwN++@JMncLIH(DTI^S^!ZwDC>A2m!$5(5xhUayCOqQ}0`L}6TAMnyEV5m9zd{;?W z*x%OoVeDGrm=_QMWd0IQ?SbRo4cezZmXy?s_=m{)4mGFG{|6eXYIN_RI1Q{DTl> zOC{tbeP-La1aAN@!eR-zn(rsRuzZD08JwZt^rxlCBtUmv+Omdcvrh>eZy z{tVm!UDndb(K$EiQ`@b-+j8e1Vp!L>f(wz2B>iiv(V+H=kavF4QO5{Qafa*;YO$|5 zrhgV^#IT06$N*9m>FUDsh(e`-F5^99AU_q~0wnmSOdSBZfh`8Ky0flsJdX_1&*9Z? zAWeXG>4x2(CoP%Z2W_15I-Kaq!9+;RRZR*!AHhmB`#da8e3Le5O`b0%Oie@_K?Dfh zHXU97c9#j;-BADg8h?kR4*7HvCxVYGL`t+cwa51hPQl9NO)HA=O;7IcJXHL-RyK(H zK`dL5!=#*Qw7|`7qI}TRq5B@bY(a!;iD0Gium(e0XS7Bwu6*_OHc zkp=PNIW_qhaYsNIlvWX_RNh32uw{rwYGEHNhSi|q>S5qF1Fj_=I8|LLyldqJ^=qZy z66=pyXQs55#PJ;wyJQID7dsmR>1aX$y^&?;b~(m?ggTFZO5?dpw& zy-jzASST#{h{WYWs1FXfb1jua9ngT+ss6f$t|@Y#AM#xuOLwk?B*0sge!ji0S%E;< zOTm-axvfT?DJxSK32+bMcuEa!VVY;o=KSgpwyfdK8s7U=_{(wu^T+jo;xAsDviELD zfE0x@De5v{U-KIoyP(+kC?+j<@muZK{T?Fb%5<&tbJ(E8Z1ZWKz$PTqwSe0o_VIgx z-}?Rzn6%gxfavryU{95~TLZG%u|}+tJa+}hti?U;Wi>0WcRgxnJi7U(g|hy3XO{=~ zBe1Fcez?YNc(_L+Npk=_ea&$!t6bWiFT=pe5N6O{f4;+yP5t>wUEGRb?`JnV?RcXm zu&7~7#o3)^AV3@@xzo44q?0^MI2>g3sY*V-826-D16SuSE=(XTpI{= zDX4*lr9%*xvQYSf0yd{%#W;Za3;VfJchCLp_fH>dUQfYr{Z^Je9b>^irs)C}t0f_k z;Vx8pm=6Q*X#6_v_pYk<`5XK(MdtU}6+}$4XpsO~n?D2HO!p0h=oku9dLNQ!DMufh z!8=E0$!jMU>l3Axzjy|E6UMV~GUS~TkFhmY>rzd4^vsY8^9Nl%s6%IuU^K4bIs%`8 z!^gI0h%IP0$2Cah52$|tWMZlkO8K6v=I(W=E2LSik1+tt6Ms7x#*=A8EI6sF{}>;a zOHBX@d=q#kEf(Fjup!%D9%-0^j71&Qklb={#6Tb?Q6Tw;NgEC(rf5P)3C2!L*v1}@ z*{iZ%kHu(kL8fK}QM=aHSUUH9BQ>WATTO3ozCT;r+^QL-a5S)Z!5F8M_ojv zP?q-&A$q&XFQsBA%^u(#WGjdc(OP}<%juu5YbkFYoeK5Yrs_9}{LUliVbpx4-y3?; z?#rhAg8W2uARPM!V85?Dyq5!={*c`ns>XOv`nL5g8TY{8up%4CEd^*&j6pVaxLPQqpa`xS@{dSVl#{bLn&>*Ea)oHrId zj^$;}7x*zj9z7`+Na?V^lLJtyeG)Us^FVO?qcVNC^NwWBJ%+ZZSh5qhok1pL#ks9u ztmBLE4Mo8ksWo;V+tn?Li4Tcxv=&SVTtcs%9A#)U$GNa1+- zpB<*H(l2p6S1w*jRVY+!%)jjyp|48FI4buhy?)eTv14q#oVhjc8x0YMN>Ou$SfZSX za_r04b^|yw^t0RIL0&Z9^)5RBDk8|)PpBYua4fBkdTV`qo*Qemt+#|xHV z*SO}rjDv^R^oN|%j=raO-CuHz?CU4eOO(PFB;nxV{>kz9>69I}{e+in^xu#-ynEGN zt1qM;Jk3MGc2uA6w?8XxtfW>Y5ytKw2xVceVD;6P4Op_AefZ!pzJ$&bINlQFns}Xi zi{R5g@!L<9Q^1e1M`QR+$ek5uk!}y-KgG|;{jyx-b|K+w57xf-GUj)4@I$;T*}m-d zJ6P`>r`~J?cbgBz{ z+ob-4kKWVrVc+ud7z;aDmB>Sh@T|8>+EU>Oyj8iR zO2~Mi1fptbt_H?R*8_qV+cA=K$lAetn{23vAF;yAT8S%!S%<~h59mlYBi&YiZ_W=! zsD#Vi%Ae$dw(M-aJY?kV9Pek6=$^89x5Ho8wV^FZ+m;)-f{&gRy3m>IRV^%3JjFtL2l#it3W{Nt^+F{#OIR36V9LI`mKFdhS& zZT2cAu5=jSa4i$mszXz=4pzC?=nTyh4C7IyKI0KTLIXvxk08p>6{zHqLuXxmV39{5 zH=0G7)u~gy`t`3~ArB#OLD5w7y8U0s+dF&KZ$4ZVUI{f#iEO{QXjRJBlKCx$%SA=q zhhU5P&F?ZB^KeOYX&m$>^8h68ov(KdaIpeRHFij!XgvNs$2K2279G9;q;V_)w&=-AIh%is?)I zx53A5%M$b8RZ8@?xSg@cbrXDEy5p;VjPocHwmZ4p|I7fwRYWyHCW8*}u>5O^C!UnXdyy|Q6(hI7fKzM}pVg~2^ z-tXT|`Q`QQtsKK-H^S9aZJ3xfz9^_G@k3Chd=4>OT%u$Kyu|{&ab0Pcc zt(xCV)1}@<5D(fK5!VPbCzc4OYsjBT2l<3NCpTpH_YTYng7wc8eE5dv_orij`Yyde zy0Pn8SVifria<+lxmT+zm(}kcqT&^;p`z0NJyMvO z$>;Ze3yz` ztEKF;Z!>sr03{|}Z2T^hI!TW$`+;t~J>;QH4er;t9l>+))om6yxMb{{jFlj zMCdELf||eVd9mHVS&{I*KNGoO_-a&?`m)?0&)F^P%tn2RhXTP3Xekf9ShvU#5 zK*b73om&Jrmjx-}pzEgT?v4*Af^@?}bmK#Ga~LM?^hcMDT2U}4SWHTKG1-Lh4!qdN zegOmn(VxYx-vBF$@nWMLk5W-BS%0EszxS{?1>yZT$vz z=93`S#X-72{q6{E!3o+Na44@^!^G9MZ-S~c8LBeGp_muoJ7LCPAM~v*m4`XA%1kyo$T>MA~sJXY6E=VERSSVMA(hcDB*z+k-Sqd3!lBuuLMG zhlyJ*J_Ab;f@e5z$LD05Ik~k`944=ruT!GS61&S&xF&f#CjBV>D5FymCd^vMvXhcZF4>i9z%Pfu<7a}m)*?d=wK zU|(ImZ^^Gj<#D~t$Q(fSfWK{rgA5gTA-e7%>~G%;l5Y>Z49aO(mnjdBOWKnu9R9-T zh^dMJ-lI#Cq(^DgK!KAn!bURiyPu{E<*wE`G zDeQ-+=f0*<;;@)(W{qP#bCWUSoSwOfxDLfACSwO_(`xmpQvTN;dXxD|$2WG;`WH;( z@81g3?aD838Bi05*HSEVt&VU7DQib%tf4|NPB+b22r(;MD}kXEZsZD39u)W?dnF1| z7r#VNwA42wKk=WJnLz19{jS3o0fOx`*P}Gs`BJ~jKRy-sV~%sHVLM59@@h$pCXNVY znOk*^rA8|cd`hM5c9<>_ZWIk?+(x{n3ee9W@wulO!WecfuxSbA7~q~hDO<(F;voDA z_8aVL{J4T-WenF-Vin!5lbUJtM5oYi}r-2x!W|Dmrch;#Y*rH$z&EyNo!#wT@m9p97ms{EW z3pQI$d^(#|)^DEy#vs;iTgaL4>}GG=gmvG9N5|;KkX@Y6&2Xk3rTUEgf$rSfi0$;- z``9;FLw)1FDG+`vaxt64@H5x3?TA+8#U=cgDy94BRh#BES`B5~-d`Yn3z1Qm63`wV z(ST|L#y`okyzT-Jxv2nCqT$aH6z;ADfIEi?ROGf-NX#vE3b1|k1>>!UIo}!nWM(M~ zsb6gOMaxcyh;t6JDWg#|;C9Q+0xg6pH2EXh-&`}tC!bZ8MW#Zf0LoJH9+tlP6O%lo zCnKZhr_sK3n=w&5!*TNH*SO?uYLXL;)J^L`QR+{#CuG32Kr&w7wQ%*>^vGRV^xBNa z=jV>2`CcT5-xC2>ECXyqUX(a#Ec05@@*Zo7BpuN~&ByQPU%^M3No6~q50?Z{`P!l%<>w+^Sh%VZ%nR=HeN%On$ zd27+na3RyAMD9pb;SBmz`M7!~^MH}FS zKC2YH)dU#)O4=pgC{W{UGG4OEBALc~je{UrAFnQH~cI@ItSAl*el#_jS9t9a+TTAHr*p*lSqz10|q z=xS{S3Ix@%vt{3Pe04Yg)U7hqD~l^^)h~p7D9VfMqC&{`4{t>8TxBz z9Y*~Qim&x!+Z$4@W|P6iKD!?l@+dT2(O@OO3Wp0R>9zEgVyqiu+Do?gc25Z*bvtA7 z&aapD2xXWz_wN_Zta=+}Zreoi-4Qh%as6k$w=AD?Qm2xl>-D^}UzunAqfYxixm1De zF4|o9zxp2{O8G;PORf825(WnG`;>~~%i7G_`^+Lte#<(>QP-M8pQ4aZ$?bFT^xkX_ znz7}zwOEpUKs|vlhCt!~PpcmOEqKW6gE!>(m>DtpjYZDbqU%tZ&3&2zALV|=YcOch zt=@o|jFrKVl@9Of9qipz+A%j!d@97}g67~B+hq48y^Hf$ zc#CBT&iIg%#au4i#Eb0&(<#pR`POU!vnR=iI)$e(#BW6(@^gw`_Je4q6)hRpJCg^5kx5uO7TvNB*@S=d?`&iG9 zpFE*`kMTvD?XLfa`OB<_1aAf${}CkHmg>)qxgL=SRfjsJB_Nb!sX?l%$#wMyOhNM-acn;j!wP_cg4(~WN7iCs z3^62^bp+19=EQx{Lwal5cE4A><{_l{=*ka*ynB9b(GBiq_emc?a93y(jEn=GC|rI& zjP83$>KZYUGC|k)>yLgS$Q;tQPvrTP^lbG~GL(%v_myGvay>EF}AEp(J~ zKztn@9c9WP93RbsQZej~_Q$n)+MN3YZwOIZ-^$O=Ki^_N_Wwz)J=^_-r_4Jn-v1qJ ztAYzNM$^A>+wf1#P#ewaUN==<4%A(ZQ2GBVHi*|z3PxP$%H;6EFFdO26?9oyzUEE; zx18u2T_C)MwA{-?;WVE_kw`s!$c6wPd9?DcYY%}yeP`ICLBM5Qy|yJQ3gfQzsUqs#*`^6SH2dM<(~B1ND(D zu#M&xHozT(b={C#3=0cufBK6CkA?hpn~Od|S{*DlM1IeX$gmX5CUK#NpMLux%9|TN zwO(2Z-po#YisMBQ;4L}-2vw7yS~t{0S)jrkwbN;4XH$bd_T(N z(S-k(XXJ+f1iSg3oyf23w2>Z!A0w1rL{LbCHX(p%KQ!I z5Xkos?f|+fbS@t48`h*>JibvevJRzctNM8kigO~p2pch#u9gQGU4*sJ$B~AAk(%3DCHKhRCrV5m+5j zC7C5GR>;cB&aP}RsTki#%ih)tfQ^{N*~61%R=?wj@?9hltm)FKe*j$dj-T>$dpEB8 zSNFW;H-DY(Qf6EFZW-x|#nUV17P#0wAxC7;0tsNY@$0KEhW;}WN1m^CrpINULdlxH z4vtHL11NqO20z;e(+H5dKuLH6%~VV|`S1Yn=S%U5CUab zqu4&vNXgw|;NHw^l6_;> zURt4w-^7I)uy^uQU!O)1=@q{pw0ba6K{O0y7l!jALRHT877OHePF~yQL-K4!c?Ue< z;*bgtVF4aG1EFo%s1+2!<(=Pl=%D$X1fZdaHOiP^Wvf_fjt?k^Zai+Bx@!BVB3ZeC z3L&~@v6e7wQ<$PeW+iv8LBt()WKHFtd znlVRqC$#N0ny4GUl83H#j|PfEnStWf=n%$bG?-uq%(&G*IH{VMU^Rr(+3`T~&W@-q z;k}VMK0+Xff@J(D`Db8NMl;%qV;uT>6+tfR~Ekrf8yr`=Q5YJ zl&_*IIM7Fq^+TU+YXU&^j*h49=SQ9t8(Yb5ARM8xD$%x%83w%vY%Kg@8x3I(DUL-o zp_}iYdSF33-^4_GqgM1n#SS^(PM-CU+19=+Cj?;LoCtGRXx~XjCbV{Qq_pW=MsF{2 zD}PJ1D*y-$0N6jdJVN-z?P9iOof6bF*y~9KHxE)GqJ#s`8c>-8{zIS{CN)8vI6b8j<|%$bT$ck`{a-Funt2}#aVXQafnp9uh*IvutHUmF);tt*T~5+5!aikNL{URV~3$? zCF75l!Jt%xkB+xj4N(lj&kc(5x0>hQ6kmjKsOM{rj*YGEdl;S)04XcDW10n4ULv3ALAcwk73f0REItUap9o-V^|6Pugh4BB2iwi7~yvi>|N6#9B z#S_0jR9HA_eQH{iw;)vza{^38&|Y95DG3WBkassI3jZWc?s!0zFO76V59J6ExA1|x zk<9kql?Sv|FjgwMXUX#41!$_#gHOK}wX9sydl|6;CT+kIt?et|;zF2G)Wd?+%=fW# zZU4lpzKZKk9M*@8T)UwbeHqE`SDiN%J%mUy?(B{I+E;U|A55e=R{@6B7f@{XueG&a zHnu`nL_2!4dNftCA=x;FpE7l*6FDpRSgt9m-T z+uNs7z~qe4x_bL@+wS{|P|`Odgb5p3AFQKL8VXdgG+!@7V?Hp$=l?VUt0*;79CZ%L zL~ssY+waWwT&^WS{{X5fkFvA%S@f@xrFMB>&~BD;K;?0{MXoMx)W@jeEE#&~B9@4* zOz@diHrR~H-;ia1`$H9p6BRcFp}O!$P%iu4t3+*?Ot2w=!k`LQfp&f!01sU?3t+^8 zGk2<5Dt`Kcy)EjwRRwf!0Ip?F^L$$v@CIP602_~X|Ie25Bl2mzGAqM(LRbO6&-7L7 zokP!NDnFF>w{Yjd9_}fkA>w)gnavxgVH&e4|1Fb&K)9nw!yPC!0f=N==_@T^WcBGa zKnJ>QDgZ0#7a?3M6(b9QlyNZ8mTLjXxGOPwRlk{BcG{*-=DxQqYUS_#ay;2OO23cU zRxqh;%e90$hip-MayLU`tHMjvrbYb($0tE@Lnf=ci(hB+H)d)VkDB5DY!7hDMD4_s zImVxF+N=+mN_YlD35z=oITH`R`&l{z_V;`8@ScImJ6JkaQPuvt41@cmPi2Y94^g+3 z=7eNEM)B+9-4lj#m2W`%Y%y*EL*8PcQS4k_HR}_c*$83EXl|Rq4w#%3aCk8d<88dC z%ruG~gyT%<>tuDh$J<&;O=9xcEITj5g%8FzQpMFPvH-oNhlf5Jm|BS;fhkA>D033D z1D;%F!DM{@AGIF(cV=#t4MzMfd>LB6A-sN(!9lOsYv-#IJ<49Rm2VrZS9%lin&=oU z1H1=l@*)*#)iOYk_frLdPGc9>brsZGNx}ND$W&gjcvkgTSFfgO3ZSFdEJ$K9kNWoy zZvAU>N31~A+wYxjm#Q}Ldev_|=VE$p#b{Iquu5$XFfkx@mrKS#+&AC(+?&Ho579e9 znhLTbLb(doN-!~BHHoc~Y=yr)pG|$@Wf&oU1G57Skp_J)*P7^KW&YtM2s6|pO73?C zj86;Q`EN7g8=muKEW4SyLRBJ85NhTU^~ez$^%uja2Oyt=8HhuXYZi=~Jh^|Y&Qva9 zCJ^F9jGrtEx8%j4Asjy+-G2Wsvli7vc}Qx~zm}6?H|Ot`k|mF^7Gcr{v~baJ3i2v+ z{cc|apGXFbzj-DE@>lzz7}kHeqd6*R4flzZQdZI~jXL_Tmd^I?pALR)57@tBuscK_ zoQ0)O40I%eW}xlnj977_NY2RKqbIKxBmw>!Bt!G7g!t`#AfyFFK*THZWZx42XCIrz z_%9sd+VN1Y2r+H~I_*EMf3Uqi0_GXS(PPyE1*Or_T05coN(>hNCDjGmU!1QZVgh$1#JBsHfzO^%Us_hU zzBpd6`>R((5<>Q&U**wyN3_nsWU4q`&^C10Q{=>qWncvacJt!#WBmLtUeFT4yxJlM z5M^vD0_gx$^9%#-wwWbvI0Qdh6b4D{!C4Bm1bBpd{4;Hp2VU8FDFhpKpHPNz%H?}S zhB^y4OxR(^WV5(8dWJS50{rU~&WAXF`2GU|D+PCO|La^sIf8d7z+)`e`ZK_Q=t9G^ zy&^gfU~ZP>T?dCUnBe0#0(*(il*iX_{&Q1nYlJx`1UJHQ$n{AIhSpNT;l$-0DkB>J zBL{&A_m;{CjUW%SeY;M7uJHxzb!3oDXwIK-Z{)G=cTy3cCh#x%MTzAXkc7Sz)Y8Pah#YQ~mt1<4kz7`1V zb3~M%N4JX%vu_zv>i@dn6o4K$CZMy!H1>h2jF@DEV*16MbCpMe&z3GSh8%FHY+5LfX%1`(IR5r$1^-ta zbi=#sRzvdI*Os0_Hy{!Vm_+Gbp9 z8vk5n-sH}BMFrE;JS2w~GwBd@fK;6B49dC=Rs7(_=uQw3vAsAW75<#%YXSwxZ7rBkQ|@p*f+pXt8^6oNoVjll^Av=5k8fh?U4U=SzsAG8G9D8MXG~ zppiGG8tQwH(F3wz);tXZ=-|_-U0q%I`T6VltdH?aN=n747Ed$Fjf7P z@Uf9i&v>6pb>@as#Jx_XuRoOPgWeM$`of0S-m6M@f6I!zg22CrBI~8yZpe_NLEyVW zeEamw-@ZWW_16;R(+?drhd_5%KGa?=^7#5?_M&<@r5Sp~zZ*^^74(Jd?BVfo4{~kg z5ui6wk=kzAagpMWf zU$~p0XY1|l9q;sj0tHjBGR|Nk5u$WENL2gtHE)FI85mT1rOM*v8bw{@-h+%1UI?;E zL5eT4HiV{BU3NEG7C-SEcW1jSe1}&7xqP|`^c*(q9l@*O5HxDMMVJ~Jv*~_ggr01; zy0W(t!Sh`I_~bifq^X_R&;If8{{Gvufk7XzNdA>8=Vl}p0XnLlxR`NU4*c0bC~kTU zq6_0p7qOQ=63#4HN#EJ%qtLdf9dMTtKv!$3wwpu+ZYYnPzxL*0hW9Z(00oY|eQQ;} zIdVjfMlOC*WqkhJXz_LA2DbR)f_Ug~Z!xGkEvylXZKjOOs>w37k~?9bA0FJO0#5#q zrcnBK$K|foz|41?5`W-sG6PJ=>j6=QKjXWC`S|cx|9aFtNmqh`0bJQAAW;hZK>IB|>Nk!v}8^xQf)xV*U; zh)ys7E=kyNaqrW^hno>tElp761;b(Dq$-|DHvml&$K#Z}WZQ3p4s(;6qY-s$tn z?y<4-5WMLc4`=F(##WIR^99!G!0r;in0zMOq?C^9u_ty5VD@y12L>@Dbr1!%~T zjm3shv*ECjY+Kr&uDV)Ci)zxftZbs%P6rfeK#K!cex5W#@1OvkHq1%eHtxGiw%PeszPrDy@q~=R zk@|ybCMJt>lHtkO1wsx-f9vwpO@ndrffJXs&j!613Lmw~aQihJ*O=Ctoq;|-*zUUk z3A6B zeoIKfF1CS#9SX6kvXt*5)pkjO!r_BW_K>YwjJAT2 zpdeuRz@him%iY9;IU_BcgiW*7EV}KFIiFW03x4 zDsF>8x3n>aX|=(Eqq^0oPJ3Y5jOB*oQux$tJl@|N@s)SBpr<0gHK4hvkZ-Va>8-BhBpfHJXo5sqGlnZRF|BWZ}c z%k-Bvyk)1h#o?sulR6$1C7FuuQ+zCi36HiRNE2ZW2PsZO%>TKKpILrI8v0DkIxgu2 zM|WeP6P4=N5xS4-`r@?yqnZRD6Sp?2mnnp&H`Z4Lg(=@GUpa2yz53~f)I8xdpIwzU zEbKmw!Yx^AsQvBCK@~823JcmjDPX-hBQ}#tbx(Auj)RM=)Ft;KQxc57XbBbHqiP*%k&o~Sn_#IitpOl@7coLwepS1UbRPg zgfBLqXeq%YgpIc$K1c1ogAFH(JD3-oY{XIgQ_Td!XcBBhw_~8J?r?%eDVRF zu>0V#4=@2AIzN>A4G|X17Xa*#vpZUxc3!-x@CPr4LOsn3h9{oK|30w87l10N)D}Gv z_JCGU$dM;gBs>M9eFZlPyF0r(JT9u1T!w~BjO09hwo!C&ZkdlJ$Tz@C1+|O$Q#$`t zed08C_Z*(9p;SfJF+2TJ$FfAB8>=S{>*3uuSkN5x*bX3w<>lWQpK`90WHMskc;SzO z^oQ0TMAQQ?;6IXeyPT5EesUVgtfm?_U4*_SPE}|_1vBj(F~UkuONfXmg}f?@i|wif zpcRWOXBTye9&G;W)lr%Y8D9sM+RG9_n&;ZOCF#y;RlKnq3zH{=E!>eVG&e7+E zX-e~mp-*!2p8eB~t}d^%a_%lOJIKWVHmI?Ew$K_QJxKGmV(Kdww1fk<=FA`Ppg_eT z>+#evtiNxbb`C$PJO6W{K7F(F@sXP;&lWoJW?dZ9^mr`RZ9ws!IbGka5E+;yyA!QS z9QQAj{kIO?{6(*pz(0ZjSn1|}8aJ#KS$R*g+eeRudtK!2`U({@>_QrX4{G}0`T#Z! zs_JQOX!ujSdp5*yNUMM@_*|*I9H!r}YbsgCR1j7BC`nIH0=RhT$Ax{g3UwI#gx*F8wflG`A3p; zol_?>v3*2`%u{zE2fK$JMpz;Kt*p$wPFMZ}&F@FX?aZz6gT#%#jN93M-w|jTM4$rO zng3|%ulZLL#x*F&mr}5Jlc$j)^a}VvE#R&{cV?8i^`-^N%l8-Dv@sWuC!Uy^)vT%V z0e<+a=Cq1#Jh}n?87v+4)e0WUG2gScu=FOQrnm?%fgmJSfpq~2uD)*h*xzL7hnV*{ zWkrTVo%tBe9RzX|!mFdp(VD}`FPo2iXY{^I+K>HC?Ak06%Mwd_R>S5mF}b1&vmT|L z^Zg=R(FNw*QZa~HJaSyubmDSfe8p(-SYiH5{B)4{nP}F-g6kiUogWJ|5u_WZju@_tdz5 zfN@o}FQ4=zsVZ=El%91J198Ogq}9ihR3Jbo?A>hgSHODFz)m-Ye3MkUZ5olaHc3gY z?zG|U{FHQwwOE3B^xMn8bbcqxdSPKtm#qj&o`~JtHj}36MKvw5dtT@Bm_2%*cw_(E z7q57zn!{e(yQhlZ7C{(WMdQ+~nVyq$S=jhKlP$g@7y9;iT-@gJz>PAXGIhTfkl-Vd zjcjDUI@@XYO-T-!wwcFUJnW%(Gbz|7yttw;YMv(+sSU^AxoJG1+`^~i4UW?x9@cN ze%HOO=W$f#IJ`k&)Zox^gEjc`FL~)=XRkyl>GQT}VP{|(Luyt}X!v5%ap5C7Z$cIRRLiHn+^}bILuo_bm0jUZ>32KeF z$S9bap0dwMQH0l3%g71|e#M_bw|$3-!kPj5AWHPN+Kn^SD2vGp?TgddkR(>OKN0D? zytw&w_?#1+o#D^(b94FauVl5NA?((%=wIAs)itq@^@&oxCqV-f|G{=51lzlW9rxx# z&b@ARK6$;}+ly;1lfQ1%MCMBVOF*f^QAAKyvt&~3hS%RSB6vo>;TtPcAGD=Wd!^Vu zKuTCUn7Lw23OCo+GdKz~&ovz#A6~MdAu0*~|D%M#z3S{bj-OK$Z{51JW8)*tEw&c~ zOV#bbCBO?ICQ^5(pVsH2Q1BwVXQp_>!nrty@ zE>rFv)ZLLx-+k2I>mnh_nQ;O0KBK;mle6y)nC56s=s^R==Iag8`wC{b9h~n z#S~w-n5~c1B|IM{8;kj1#lc@M`T9$u+4l&+6UF$7cYJOa9nUgNC;#vnzO-;}uOb^< zr|IU|L9t$NQR(qP(mpy*JOA1^fbH-On(y@F=SCj!l7d@*z;bM zh)BIv;U-B2iz#E?fDr}1?C|hL&;B>U5d%}7rn!%;UK&NlgN94_gR11woTP<^tS-tk zQa&f80wNcU%FaFoZ!4YOR@QIRtTF&og{7mYS)wC{P2H!ql@(6FQBTPC^1Zc-zE|AZU<`&da^&f#pG??8`DC+igZRG@b2x$y;X*zS3(_q zshI^CZ)ug^J#k_V%^$uZ$yWWZaBf}q{MKZ&i7$_g`{ezKQt-HQtm^Y!(CcJi&B=g*(BX_kysu|cGc)%JP#D|4g_6;T=i0+Ec;`>dJ7 z-?Tyb+F!3EP@xkL-@PkjL#{*e7#UaYA(G^XgZ(y<_n}ghkM^&oUG>_`n|UvEGeKLK zr9~REM))lG^upMfisg2SL`Xkjm*-t$S&>Q>biW1F5;x?N){Cst`d5EcIqh7p)g?c_ zuFM>Sg5nq;sB7G|k~iy?m&U@zS*W8p3IQM5i%tE_`K=8F)@r;K-{CWk$?}hvCfX<~ zaPc(ayR}3qDY})6W=UObn71Z!_NhNx*ih2EHt`$4Pz9eo!#d5-csTS0jQS~R7(_%{ z6(P0$Py8V?`^Ja1wzl1hO|K~2H$5%LP2>5_U5jv^mo)h98a*Wb(uYmG_lmp12M@6h z<|k=a=$01K{d*F#fAq@h(BVDc`p-{bvg8dUvgD+#B??&ho2tzH5f>ACAz7Eow)^|e z#ynTFhq|X$zhJ}Uonv!R8E>m_$5-g$h{zdK8yr9)w+vUe5woHK! z=d3iUt+yt!3G(M)_hd>9&{x{zS8%L@w|wQW%uf%thA&=BKgT0K%h>tU6ch#S8^bap zs%!mWB5Wb8t+`7DQ?X><$Y@ZM`zf!>W73Q5zSVl;L94Z}3jEPSoGgzN)VS5(`cAH@ zVj^e7(E#UK+SG3~wVco!ZBLCoVe1Irt6Hqxm0yhL?pEk-bE4=hclw34c0wa^%Jkh$ zgkqUz=i_7H$jh_q)0c6SJYzE6i%E>e-h1p-vUsf#XU;t-9SX#9Snk%pR^zM3HpZv) zNfWf7IT?YlD86m>KP~{GaS)|KA*01Kk+_RuVq(o=;utHKR$zoeBg0u3S--KzcTu=A zJPoEWStshQYaPM0n*Q-gCLbAxALCjA6ieBK{V^fTsl4;r6%M`2{cb#wgQc9!v%i0m zsOl}PPYYR?lDEg@AGB)CZV8BSIZZ5II;gTIx~4gSOY4?}#cBpj>dM>|(3+)*oD}RI zc=@FW^sl6(PQMCtzG{AanHmiqGRUmW+Ro-id6`V(Rb!Ks>*SoL)7K&>xMl~_ z<~mxnd{<0wScUfv6y{jFow~KZnYP(EIqZ$RFgUy2BNrO~uJxFC>^82VKU-SB_s;T< zKQT}2b-74yHu#wL<@1#$BqW?3oRv#+LJkbq3_8j#a6Z6GN{!sOfrIn>WpO7RxR?Ie zF&if*Qd1Kl!nK+)6>iqe) zj|;Q*!h5d=Q!z~Tg}QrPmT3uirLm{}!#$dVON1k0LbNYR8<-!AERNX9$jG?;$cB$% zU3d|~LLUEyX6jE;7ywK8QK8m^X7%-YN~f0jKmvNAGKWQ$~z5h8@F%(Any$tJR8%ScwT$=-yF2w7QAd#~*MJI~kq z^Zohbb$i`zmB-_8UDrA1e(vXf&Q-}^(dFEy@PVuMFZWr+|l?duWFM{VUbe~3|b#}I&oE~Ej67B~S zM=I}E+ZTW>ES>;H#>yv0$lBi(~2~%(65Dyx87-dEBQ`^+STS=J1rW7076uTHCk@zwQxz# zCt;VZc7+73_FgHo*UX1U`^>ql`NlIpWU*TW?E0T51s5J8>z&$-w*Wg-A1_ZafHfCr zd4IK?Ew0)q&G=?^hbhw2G(eS1%x~{Of^x!n#lb`o-J{_dD+}|+yo5JX1)H=`g zlj(*tTRJX5_qDbkl=G42UQaYr`$@;{I4=}CF=W2x?`JKpIB||1w-R$)`JEvZ6f3{D zkyPH=*5>c;?{Vf^!ibtxglMJ&$Mo1cPW{cwZg0u&=ir(oPJPq%4t8;F+$bz6s^pB< zwBW0_v4(t{QM;z0O(u+ecn~w6Se+J{$UW|HW5~t}ssFQ#H5#jB&tS@Fu6I%Y_T?jF z^tFGvLFdcCpO^Kqsf9fymA&Mv2!-RE_GQ|coklAl4V(vsQQ3NH^old8%% za<-G_QEqRV=7ghkgt$9|*t9~Ht37=`y{$_L0&y7Nu+U7n zRhMq%T)dj?>+3r^5?-x+Q&MIn`@vu5T~toqqc_9oYC$#q{mtEh7L2m9p0^Q1X%fXo z>RHtp5{_%%X(l?-2tDGjl;Cz1|F${AX9EGX8c1aP9-?_l**ZK*68@)Thwol@UGa7& z@(o<*cQm+T7f}%Ia8mZ^TfP3-4_>wSBEjF*xaYsy2ydv1?`fQT;N|Dq6!7rrCry0h zd>UYsPOd(6A!5C~Hck83?5VHGP39%i4g$5o>A(~gyJn<;!1g?hjPL(ETFxrLAkYb6 zev%gGiIs#eHxC6MSH{7+L6$|iLfzL-agpRiypQP*o;-5aJWrqM+rqKUe?XMEkBE=O z8f;%@qOtsn+jiW@!b4MY>f(GX_etwg(|5|e4+&R?xoMp(O~;YUu5!MaJWS@c!vhH~ zx_!j;+}5|NI5#G0rMH&n>uLWxW1nFT1KQ&zKu53D?VhDf>>eJXvUGJ3P1WHx>NPi+ zpg6|r_c|Fm${2ZCWT`Ei{z&kH=M&APQ$;l;(#`NR<`Gj&%^@-@*tV*xpH1hR>jU{- zg;yQOETxUyW)lh?ld!6=T_v4|>bas$nIg`BUqaO|n%p)dYGSZf=dXJf}z1&^{Ll!Cqc2`}zjtBaTFhzI_2SyfcVz0`+w#w3+ zeP6M>(A<;Cy(&D=>Fb=V^R`{;OW>NScE5X|h~>4C)es60Q--xmxFjU*x{liM8SA;H z5%YT;udkLi!+##ds#`p)xB(f2dy@#PSNaO$wQC4zR1?R(p2`DZU=DGJvq)B&;5=gl z29A(f>tzXFCI%+pgFHGEhBWY5OT>P*~q63NDbQ5&yClbO_i**Zs0 z=FkP}>a#Zr>LbX}PZVq)qj6swQxFG^X!If-dEP^Z;xVD>g6 zSmvrJFW=h??Ywk8t81;;7FuA;xvlTCpGo4F8ZF<=Y5dI}&ExV#fo>uZB+znz(P{S} z93roI-bL@5xy$OC^%G#7q4&_2vUfw z_*QtAI%MmQ2Wu~CZr!LfF)z7g(@aS7pl)}>U_->vb-@9vcwujZP@LRWhxVwB(pkno zw5Wkjz+0;=n)>4Wv0K8-FQEj*(X*)Q4yssKgDfTKDGlHM=WS`Oqt=s{96j{eYEgT!=&)Zr=f4+fK;-~ThjEK&=M}zdI>74w^EXAQPDJ2o z4^uo8Ainh%xejfb+s%(EUiA9yaW)Ct&b+SO`bs)RE?(36v>*Ss)G(QeX-uh7{=I-( z`$9dx=EI(KyfiF)k>@A*=a>XI1%wS~+7bIIn$4s4ARRKGqmxL!7W6#tMFG8*&gj=X zYvi+c>@7t(MJ@l@iuf_Za-2tN2F`liH@gFlH}*6GY<`g4APmh4-MWdM&RH+C?4o0x zinqMD$hW%4GB<|tYG%&5r;SOvfr@th^dUfPUvdfTw7HYnJVVHTomvHmri9`pVw)n zI=;j7^vz6}p)iZx)@9gNyP#~n_zLbh(?^u^nX)<`f1OelI{oNMV!bJedD62P&^qFf zmqAQpyZl1)oNc_Icpx#Xqlk`bzc$|VQ1aRIKI_};Bt@omvz6s?!RHF)mksl>Gs0dE z?@PzU#e@osk^C7oU;Ca6zjW~evnRbHI`a+=11tnr<3mbspb(o)fXeh~{LNQ2xDK;w z>xBC@iGWv|s-FM)oWuSj;lA4OPaK9dh87+iDeMoplqOdErfEH##U^xya@c}p4nsdE zKLFl$-6BbOg)&?*{nzVj&kuNoaS22iyg&BG>$W6)O5n+1XW^=SX7J{`c6C4?UA*al z`Q&j^nn)bbCr-1mS=tXS-t0@HNZ5^LwPF>wbG^radk8>P94qB$dsj^1FR=9a~AQHQ3CVa;JHE?~_ojcBb5{ z*ACb|6K)zTP5Ku#PT93z!iaif|C7qXSO0nRyB)B?C5&+SQYD2g$EU@z7texunvdo; zEG3D}z=M-Xd(&!tx0KP_nyu|`mFa5VyTcOR>eN@!T`62*KVn8C#>(b5e68_DQoPUb zJy-i8#YOh&uGXHC7g&5#6s`~1Q=RMGO`1@p`TaFWFm?N-ZI-WE#lv;AnB~RBAa9#V zRi`K8vAaeaBFKr#O52IC<+~1VEJl_$`n$)|`K*=Z_5-A&8=CGh#Xk`p$?DDYbG%+8 z)h!obbFH}s<+=>CMliJYc6VF+42h9~zpA7gR9a>Oh?4l>yLg7HVaN0hZXjE#2p5)oYa($S+pcdEC;ForkxB=3X7lr zbaQHEL{l2}M*6PP3yk;sZEoN#iDNJYIHo=tZ!a?@X(kg9le;{o$6$~aG4g8Y$wDkNTj;NXThUM>djwG)1v$A4OT``mMTR&PLTHvCV zxfmiu3B6Xq_3PK~-h3*Hb+%`zFj}kM{@6P(vMKv3?M?Q*cw)1hhC}Pbiwh>XaQ1z~FmPRF_e@JGET2bz>MJ_V zmC5Xq7#={R*RXUp!IUw<5D;aSex->nE+EGdE#%c>JypT8PUq#-FgenxZpXI+Uo_#p zR5FrOQ201LdmT+1oLLIpy1jUNvqXqZ`rapUy^D%6w4SBXHM$h>Ao{Tc^ozXGQ_tOOt&NY+_a*_XgpWR3zH#x;oq&KqXn4U9kb-!msCYxK%D6GU zdGzK1Zrt9X^pfAEy^d*l$l|>x*nWkc+S_aVg^U~q@}6%XWaxSkx4Da5D^lGlF>5rF*66{MC3cSSS9 z^gUW2$g8TV=zsaN<*Bo35Q*$}HFFVov%V1bBoY2M8r?FxSV6eKod?GBhy>)&@k1Gesy!fUD9;KEQ0~Q|>b$G_)5I-*&uIS-x>4 zPpSP@o|VxEK1V(-Ic~P&S;#%(28m+fRPTpo-Z|sOwqr9^Je%XS56rxo<_zJqjw=V) z0J0~%C=~8z4)awzc^-5*bslm->4IkwLox8AZ-0ol!of3gO_jMFpzPG&!`pgCVD)cb z)2SkD!c)ZoTg25tqv$d;y(HtEq0u5`rKfn|!DR=p7nwD)iuJCZtk3WgHu3&6u(`tF zu;1ZIr>*zsktr8uw*+dL7*!`|(9myhq#%jYN$C=3!!ccXo;{DR`Y z!jB-O&_;^^oB?cs9x#YbtkS(kp~8HwX=1GMuEb=K?V2l^GP8A=Gm>g&IZD%ouRjx? z#v~MLH(88Mm(%GBp3TM;Z=ch7I-5L~~Wul_MtupS5C7`6-;$YIlD7>W>y^9?-Vhn!iu2gwA4@ zt|gP(-{kqeasOgU*fF|a+pr-cTpcIekeO?X^WmKkzAwi&nEakB?@Hi~_&OzSEwpTL zP}fa0KgPpVIq4#kV0e?gMt3!zb;zE>d{oYo%${1e9xMd z$b0Ynk-;W5GTv~>ay-zYqJQM?|0mtRn|?ljXs&!i8o*Xw*WSyo-tAVDf~-6b@320+ zqx#i{&s5c_H*4&a>enoP`LwXtpFYNQ%kOF(kx7r3A9!xM7bGo7c-}bETaJG9fAAY6 z)^P9SC3M3w5@urhv83=uuPpS3cd>Q%?7LLA)hac!ET(@mkpcx`^-j+p^GjWbKu#A& z^EBz$kI;R3=WIgjIpd?7d1KBxb!AgJkCZ6Ib0$b#qnbnn@9`Zq_`&WOw6y21T8`q0 znNpK}>Fe&gSny8%sHU17*6=AFUeR%*_&prq=&EVJLJlbRH$Cu2g}MC(h4A15q6-woCI<;*n zDblD-nIockdjIjQH<@2>vH_x=ow0dJIi90;CU%mZW8ttdwK_Ohkj~E`Cg$$wc|-pp z!nKu~)6td3hxfl_${-AFlh?LWgsdhzRGFo;Kbc5UET7d#eZfl%*V}->{Uo6}z$rz6 zVX5g7_v%;hN7i@Jt=-18m)@zVQ1<*c8P?ZK;3pe#bKh;`#-*D#2@{mTaf1O0#M3UGivB}sGxGq~=t5ZUHt`)!t6SNW>OLxSBaYWPe9W_M7tFOjz~p`j6Wj9$`gXx|Iq2k3^tT9I@ZIdM={F zQWE=$hp;K;Og}@wIaFC$?sO%Fx@WYYYA^AWYIDrsM*nzvmyRZs7Q}#a{_Fy^umX7m zxQ@=z&LDOB;6h789nGxn3Q3er4ZY7WK#8zhi$Acp5hQO4fbbW);ht@4UDG7d(FX%kqwml7{LI?9& zXw-B)Y-5vPc%;mCzrk)RaJdB3Nr=<`(rry>N&n5^lgsOz7*f=b{@rB&nc&~A$CX3J z&HnIhhh!KUiR4e~m{Lf(3%-=#`H@gG!Tp(CtOStSwXmJ|?awn1=y%cW{6uK%0%!b= z00S-9|4#7yz3)n)QALrxO!M^?_JU{S0>zktUvWA0$u1s*LGA^o$!MskLG}Gv0Az8V z@Ag-QPTbB9p)zf={VIbRf#4^h%wa8dN3w5pbaVi9oN;=sKf}^;#B=Dp|7vvoZ!!m& z-lsHu^jE)hx;J{cklC{Q&sE+=aCRsWz2%Y~rdwN?tF02$!1Oob_**ODF#bqm7nTc% zYz#uW)B|N42I;&q!AmBdsx@NbkPvCsf6qTEo5no&&(6;dTJD$*E)=Bb(yAKz>&sG5 zQqH8WEW~~XoD4p{$g{U}2(ok7{+dRaI*U=UG-{|pAE9cI2weqj>+I60uNL1n<-K|= z+0OO?prkFvbU2Wa=5e*4f(qg2DcEUOYegPMTje1Dg-c2Ouy|ETBCXuZr(7p$%_(u0 znDI=B*MlK)k+S_*xOIrPG4ja&HKsL*3C^(W3Df!^+Y{`H6a z-^SIRw9=Be%=MboR&U)7L)$aHTrajGz$n&vpt;p4_V6anlb{cV2zf{p{w%mvsv;L+ zUnr+}C>qp>J-qXF`ny2iO!^?+GB_)<#f1uOMMt=Ahp{nN63u%RfFB+Sy*SM)ml@XtNP(DJojaU+V1g|K=hfZf* z6?5r7bWPPJmbNmU;g4Wfw>$#j*wt4p6$vai{y*+6B5c=Gor;PY%2g@36@}sIP!cv( z7sz!#>2=%OiRanVEb3gfW3N)|m{aT2dQy`f>EppLVkIa^k;|FX=FOaDHQb_TX~tnf zrkql<@rPbZZQ?P-#RBfKr}Q=Z%UZ{SJ6@2ajNKW=0-tG<`09)HsPlk;j;=FPwQ zqloe<5n{<+rXk3EVZ2^?qqFE$Lk(je{qaeOnH%VpeKh}bW`A0Im*u||uz`e1k`Jw( zrB)-wPg@&^qf?$P$L>wDVdww;pb9N69s7aij2g#BFFf2>?xS|K$#RPN<10-!I1FtRnGXZD)J|{x^dzg z-9O#~35SKIk^HUJF}tJ{6n=2xb&2Yin>`%uU%#fgN^NfaMdNMae13WNDm8fcr^-fE zPGhH={oKEey$xmi)cE;JPs68*X=cnAoYk&mEZn)PI8PIG}@hmGl=WcQ&KVKL&RgP^jbrSv;RUXzxY-9iaDDTnf&wM z(|>d}y`RWCYj|#1-T`Dq{$Es#7m0Y1Km6?l>*c3w%(J|ck@#xFlCZ@*9m1^76tPu~ z&)!}>C^wOk8LW@JUGTcEFC0c#*+qaC9wZl9@3^voQZlMon|~a;CXQi&iOpb?6DEFj zNU1?A+aU;#tpy4%qYh!mP?Q2B^D~)4om@_VPaDjdq`LLBoSu1wGfxXX08oHi#}O;3 z`u7}>5j0{1Rv+AFeUola1&3$oieX$@UT^A%CMg2;+DQ?H9aL&#v z88P9F!B;$O`e11>GNcLcz3H7hH#sNhV=z#QR`HXY%;U5y?t(+Kn#=vpn9jeS|6(n8 z^7t*K9xiw2OTb|SC8oIhKdJTCb>rVz78g-$@LD(7{;uT@Dl%Vo?@zVux8zOxi4^3mb zcqqa&U;5Y#kFILPNnE-b5lSyIOY$QSTS0x1FDL#A(BW(aUs_#0de!nKzZ=v>}M=8xekN)X?tdX6QBLjH?<;n*` zu>_I*q}CZ1PfT#3pVXG73if{6dPHnYx@IPOR`DK)oYIhY)CnTrc|i9=+hb&3|-a^SYHrkCHxmk(fQAJlV#DIE#ha3ce991YS@& zH>Tw3%8H@-msVZN2E9Y33%t zy|R$*OWkX;bGEQ*<%e0^u^&UQ0v?bw^&#m|D5n<%eM z!QOMZB^C8tybFo2oo%ACOu_T(RQ&YQoB8o4frNQm`9opa27`8nweK6B?d+mF>RT{H z2VN}&50`{hK!B_NjzM#EmpH3g$%q*bMdvU%(4Y#4wEv;F2O0XLNXedb+DtJ`dus1ya;jMru zD$Y*2jXqC6NJNQpqZIptV;wm;hlkEklEE5OUB0Z5bR1*j>8RU~WMYi_o$#pXU)f5z zA!H87d|!?d`mqC+bhD;<7iZ_WpVeMKFGC5KF%u+pDRVmh5$ce^s|L&HhK?JDMbcV7 zN?K6>m~{tZDJV92@xp}xbhLo`c4)~EK3LFxi|`~S>)UNKS9jtA+eK4X*Q`>>XP8{f z60nSCPu%-hje0OQW1O9h^3u$b9?j+}i4p~zPee~B@IWzjB!g%UA6ND*fBW{tw#x`3 z@To<7w2|-yH?*I)6=tE_44eRor!mm+02j37qioRL}aK{mUR?^=F*QkLtJ>%TZ)I3~;LZ=a;wo<&qaA z)1@;%G&~idcl}DA>T_F4y}yKYpP2wr>zEiWS%s8@k_jY9VMT=h5-4=*LqwiD{^YWa zhdX=ADuth;&#E>36+#l*;z5aW2pSQpo&L9M3h#S5{d%xcBvDGbF#i3acZ*&yJ1fy<3^gR^lN@)G zh~=TAb9To_&=0AgdG!P2$Vh$gpPg=xbv2Z1o(E4fRj^-|U|0iMVby&#&>@>5f6AE$yJbkzAJC2GR zS`($ly8N07M*G64?2VUY(sb6)dg$$z{+d*dNPLaG266{Ihg{jIbX%OM>-&G^n|5BQ zH=1)}4}QS5!)!s^Q8UP#)xALjk6XrO#m2@1XeL65dK~x4K|zR+!1E}j6#3b01!hYa z!MwRCpz$*m^xAs$jvv&+@YOyTaRpR>&{LH{snqEJf=X%I`*#}cqNZ%s6HN1P9_HU; zjZvX91w2b5(r{)NGBL1TiB<)b2vn`6crG`$3%Uu#&+mh(6iF_?`$OXLA7q&T1KXb4N=SKkk4z2Z6fqf6#T`J6<9vtB-V@2~i!!*Hu|THFeO5hG@A=lJN_0f~%)#h18`W3w}I_3TjP1l<;$_^bHkDJZj`T8*k

DCYx7d9TM-c!MY;%;u+`5cP5sIWJU^m4M|(9YX^?8L zriUN2Ox0~ftDX$`L#lQ9I2JDg@%akheJZVx#wZJjoX%_ZMeLrNrxKTMYtxcNiW@sp z2|y_1qmOa}7f+bq!|b`Aep7)O`PNo%UXwjZxvm2!i;qn9MK?k?l10pk9p0ilp!(lO zhkCw|#mcTRvTIdTWBH~9*_*i3sn zOtzW*|M0>VL=mp2wvtmeYlcpmxzh7@m%_ec0^J8mbLS}`VXZToYWBvSGG8tPJ3|Qj z%zDEkZ$C1gNzUe9KfV=p(#eUWm2QrgK=xX*6x9>7HhLeOc%uYb2v1G-jFrEgG@sT> zsm3_q`A`v%8U-K$P;(vzbAc`c<@UMy80Wc3H^{%gw1%Qn{{3#FIjixg=&U?}o0K_a zS0#YP_jQ`msrl|Wk3}&G^9xy+NJE~lwZVfK*31qcK6y<*bWdv^$U}*?Qr~!d&7&5k?*R+@7XW8rXK!*UvhLC z9dqY?%ETkOBek7rY#)E1mrJvgJeRxay#+xtn^2H42_VYl$C1^PmYzz7hcJA*E+HOd zmBA7(s)cx-sY8E|??8M85)?I(P8f%Lj~=~^K$8vhm?Kr*_^~tgVHR3+AQgI$BwXux z9=`Sua83Y`f%r*q$2PQ^=)@jqCyPN*eEDy+#gydCCJUGkpwy(g zf1*4CJ+`y986NJ+m)vl)a;u+m@;U;1 z+tLMJmy>+>k6cNrfz8bF*-tUGLk)Ga@)T%1kt-mr2J(H9m_ zj)}lT9z@VA4O4rL;ix0M@F!09V*zdj*rPA=IyM$cTNAZe6GIC$5z+F19GbEPlUxkr z%uy{XhiV$xTeZhQOE9P}$brW7Z;JE}sACD<<1igGu8mNeZ+1w0HpLZ;X6FLm*8Gb7 zlb?1w%oFV+L#O}zZS9S_aLHspvjur)hBvL!?DnTh^Ecyxy*kM;>%2ET-hS2f5s^*OM z(raB3^gE>_ZMTmXik@Aya{wN&+3c7okVhh!F;=C~i9QEUXR02myqvqtO7H6@xezE} zra9_-+Wk`i%@ZHPzq9q#2YNA7Z(D>hC9bJ8?$*l6SdHcA^i*Bo8g9Yuo_^cRw{Br* zM=21iZqrmVFg_ife5sMgl0OJyV_?1;JZXWb0;tIP>^51E1{Ri3rn+XPDrSj3&DQ0P z|MOpuZCTPO*&Xq=x<8vmQiz_t%L1$vgHQ09YsbRE)O)b~u9-Kv9_hFMx94QK>b;MA zic?UU5k5C1U+=eD4ZI`yHt-F&NE%cvO+f4a((%`dioeGF{8)B({l25?{hgQ){{4_7QnnWgi1TXw1Ht^(pCT*U zVy>w1*+|1RWb*;#2WpoRhXA9KlUJ`^HHs-2l;S$m^z?797^eFYQRdwIWp6AQ{a`wN zM(SMYFR?H~3Lo(^?3#DA#vA)Me*0(*H!t6n{N_MZe?_tVRn6&bwr|7GpzZ*=dAl^g ztf(f0e=R2t*nTZ&7=cJj4Y+3FIx=Xo ze>pn+B32!g-Q*x@B?Dpv8o!99v6e$ujOHNJV_0)Yg? zOKnL12`(tAwBpiLaK!d$Zl~h!t6~4fdfYV7`Qs_&QhUOWO3vobqc~H3I|8}&puzyE z^RXdq1s#nDIz&G^avi)oBgGWMHG?*@ZJ`u`36kJLKdQ9Q`0Rk^*`naqVI{Hv^vJ z?ujReG68C{$!N1OR+pwkPw!iHE!5u$!9J3-yJ;{z#o>Pc_-|(-HfH3!h2^Ve5>#&s zb6Exb95e{24-cOo&HF+IlaQV3;^vp_hkGRRm|T9sddg3RaJX4 zk+P*UM6$Wf0Z{-u1Q-d>C2Sc7yj!OAZ(Oh4*MFe*V+!p;1sYeWcfS6am%(e98Xh%& znS4+H>Z-d8?)F0dX%}qS33pwu7vNwj4-NJb_=)aqiv^?f(RQ@}cvnc4g@uITb8{K- zoWDUY^8PjZfG801el%_0nIS|l++|G>6>~o7(*p`t$!T<4_%U6}Q~L`bZM5QAB<|3B zLARezK?C`~PYASZ@DRj*2^P{3wEsFie$g1h{opvsJmxVmw5?S6M z%-S(3&dE4p4))jb)Vq6qW}HzK#vG zweHJBdgn)sujA3?R)iSiV)cGz@qfR*(>uC6qa9bAj1LyY4!jRVpGVg$UGTJu(zY@Y zR?L7Lg};o9>1H9z1;T=1`iO(FlDNy%{wkO8{dzK@r^O zG_^eg@Et416GC2AGZL36!Xr(6bz|d)Gqz@P4SnLC zsK^R~zdo}g9@6pV+P--7J(K+tL)G^;k8uy zWv3v{RwEFB8-Y7C@?>X`E~y$XwjB^!@APvsL&L%@#OQpmQAb%{yUegp0oq@M;?w&b z#J>zoPd7S@a`rVeqhtN>4UIlKF%%BK>z;CtO2=rS#UN>+zrOEhm@R)#j=5RfUC~aV zoVM7CUd(jp$dMTSP#zqXk1YfNNRLtyA{Lh!@wWUA4-XetSK%3R^&x0;%^0uXH-2MX zs-8FsAB{QLmVUNUE&Tzb1*suGf$p&N7)@mkzg4>O9NmZLZDB|Qy;irO1b6UI8;W90 zyKkX^&tMEaWT%6r=jZP`I^tGWr>DnECm7>1X9Y$9dP7nIqxCt>r$TC=hvpSoaSDrG zy>$)!Mf2!s@#V-VN4^}Pjg&0|=QWp3!Ltu6g8j41nsSuyozl!wH9`;Q>D^s37(tX= zOFMnd@b~(Pla|t#7kN83|DZam9^Y~^I9s2eiML){Ne!f08FEfNqs|Uh$a>5T?+u(Cyf>R> z0d!9y8@Q@odB=2|hW!A-R-_W`w=hYkXg?J$bg55@*bcX_jS({XfYh(|o5=Z&RNn+% z3nhB!#ybu_I0pV=>=9mQ&7Mh$8%>FQ1j5Y(I!}pyc|9_o-<{m$yij#Mm&SVzPg4@*iI24o(>dgm^SIjS|9qgeThgDu~&4FQ>^%0=%m)7=2 zT3C0=ZQ3VYrZ0S)gpw-P)G|(YjdRN)rW+g*)L)44YDJm;2;en&{yc-hhb^;BA{*EH zJzcP(Hox@5(-+$K?s^Km$}XzHBU5$aJK}OHjhUfHa)`ylv;9xgzvB>qxG#df8YS2F zX@-15_4v$Y(muBF&%i*b<p%t& z$MaZi!cec?d;79w*rS9c(M|b+DB+B#|BiM*)iUDPG?}?G_Z=gWoKr2c7 zgGQ9yzwQVrY{Sx+4!Q`;y#*Wrg@v!&P8%r|OuU^%6Mn6dg&K9xeHw=geL>o|VVSed z4fQqi!zv{DCS)^Hdyo7K#ZdiDHub+)#b7&!=8qdUDVh~Uw{ky+0`)gCaks_E(OUCs z(S2qOw0h?yhhI#L9V*wPd#z6OSI9rRWZ}o8d}MW`*un+J`Z?mD#m2yd;=$ zAW;6_*<#c9(b?|y&%ETqi3mFGlIHga3g*i1`FP=ai)nSZmg`e*&(t-!KD+)1V~@$> z7j12#fDzPRe&@?g-S$iyocCV<53R)aAE@w&!gAq(C3q%7QY!Rs+VhAT;ZshDKZ85v zcPosBtg9dEwQ(7+XAg)c&ER~em@Isi8`<#5DPnMbT@5NpF(|1;dIdy!?< zEmZEpJ8gvGjtfU@DHj>)-H4I=3#{e-@utNTD1{MjJA1~{bpM@~!_PRX{qoFGPl6d# z4(fSD_a_fW({q@0ehw)J1tss$-1TsOVCP-Q9*|*Zl_|`X&5P2EM5$y>=~xXT28XR^Dhwe!o;(cyn@n z^Ka+kSPYVUqltBJqh3ivGqzN0)&G2Ph~(qx-sNYc*MQb3ZhZUs>fK=R zq38m0f+m$hMDhSl#3+3JfLr{v@iSZ5&4A=S z*ra*&hae90s%)i0Zn!j*`j_1LtOF!H;B}aUkf3SrZDc!6MRW7!$HXZ5Zh`8G zLThjhe0+S)v@sCJ0cK6Vyl(e#XW1VO^Xd!q@Ms-u@OcoS3zGpGbQ*UoiiI%LX*3me zxCBhN*RC4H*bDWV8OYeASI{msd7;zXN-d+F)(h3o{Ela^L9bn z`1rVmUcJY%O-JlK;l46{Y=5aSDy)u5d&CZr>JnX^&1luj_&O0M#Tz{o9EPHaN2{9r zhL0#yOYcI*YznS~oq@ocgy))C&ra<-U-v7UZuHlU?59y#-N5q7;z&+@$i`&RbqH#z zN?OKbfw7y{(&0j!av&>#66zK%!Cj|+{0yKRWgc&pS(@Q+PbjB>m>!SwDY``M&C=on z13l2H>n%IbXw7b0uBQ&RS{U?mybR!bEYWB2WO_HSTr}-(Ine+;p21-^= zo&EP%1<<`TB_?e?HGvS88^i;osI6^uzNoj@m2{bXS9l8Gi*>Cz8b50q zYvmV}oMh+zXPsJ4{Ply>HEaqe3R}p5sT~g@0Gfi1?)Gguy6yG(Hk}|(NQGT1Kf`=y zg()!}`=w(@Qg}L2uiNq)6XL~i!rOqJLr{pri+udT0KRZ!B%|CG=ZAcSlf95QLEfNP#f6%lzaQu0KqAt zHu3xSKG|~io^3ki&4-RM-(O?N_N8ECQ#B{Y}>{LUxPgIv4E*ia^{k6KRN<6#p zzn`3(oX;iP^z`)X4E0z-Y*`Smf-#RUWCgc*6(!O5|v zW`wRI|M=4=GhPHnBFovLlY|^6r-WTr-DTFE)zHmUDc(OHp=stDSkC-oQSl(= zb>Ld(I5+wYq{>TtnzOQ7Nz^l4*9__W46oS*wof5NhQiK`mh~c4=e=w?+m1|;La>gg zF&M}DpK}|{Ps*6Zr#@n9YHHHO%E1TGvoD?0nMEtyfBHqOqR>F0Gl-e)AXdLMe{9^i0<|8ms3O>+!!;QYwn zrRMQ7v8KLD)p2D`iYyW{yY*pURu3ysbv}^DO5;nEc$AP(;vLw$^9=7OyOSi6D67NV zXHzRWu9C}Lx5_nhu$ao89h&_K7n^~4+B0+I^el(KK{+iqGt=Km`V+J*1DM9g-r3#7 z!N*=ve^@a5WWP;+9%3h!H;B1inKJW4VO-M%CSl=}tFTe`$J=IvJHO+8 zTIrN5mH$&-L5=sY0O}IB4|@04$+QPCY+6zbfXw#wBB6GHJS9SxqAUF}XtQU&jvV_u zs$Cpg)@c0e@)pl}vk7^hgP@iycg$8q>T2%)#E1h=mAAV7DV6veo;(&0j1-5NCfb#y zMjp@_#2ZSm*7RWiFbNoiH*ek)V7YP(l%%E)PFNV|K&bs5s0OXKjMp)hjh^~eIEC+L zdwZfFt~014Ip$#%>eob;M+7q9p20F+!+cy83yrH8ViR z?*5n|bbskxam8>$??^3D zYj)bss)oacCSLA+#qkl1d-H?^3IYN}nw;sJT`w;&m$MVhngm2`9`;`#f+LI4j4qO^ zj}+XIaIYHzF}Fj4lCQ1=ez_T8G*{q{1Ykr59b8qzooDb=XbCL4eXk|N%pt+l;c~KI(H5AYxdqI2@lB~#W>!pP-J^5n>{%_w) zr~HwEmP5aoj=o3ER$R4*UfPN#sh4}o)G5NArrMW8WH}M3x3>Neq9bKsYe7H%HjSWD zF3V&>0sdhfYoO)KjTG^MUCYC3VJ_Q~sl@xB07mtmw$yCaGM};7wdHRAo4JVy{xEJ# zYX6vh&LA0W)&&RAd>cijR;j$`Ev2}_YW%`BU6$$9$BsTFDq-QhNeLlr+6>y$yd~2a zq1dyN`{$mZrNR|A=(*b8bVEo#Q=5Q!0Kbg4K64GgydG$BR_>+zd+OqB_wJ}~3O0;b zG76&{Xzk>R^BaAn$3V&MXMSlouR=#`Ddf!^yXPq7&4=~II-8|V|GxUc&{?5Rp%`zpsFBgM!hpW*r z+T*IQoI@BcizgPL^0ehxQw zfBnvHB4WW871w;$+mOtEECg*b_F~vvQA2Z2@u1XI{@Z}s-jwdQl#JS0%|}*^2ZtwV zTY;Zf|0aV}+?1@&)RiNTQ^x%o&CfE5>L6+ctp&7;%kz=+>&yAuQ%#+DP5&D$Z@?ez#+Wt)mj?Bw{k^zKP|yS_ym< zpVNxKk-RUYN*dWpJ^JW`h$6#<`-fdYOqoxklmhOQRpq&dim};7iEr5gKu~}Tu30oz zz0~%p(cQr`;ECC4J7}>gX*Ncdnb8r#FeVNq=&LQFDqx=&@PzqvqIVi+gO{SyFT?iU zxD70RP=4=Sc=gR7yq4K|F_+g*-^#*jseUaPH4m%96%S^=?-Mti0MYcytZxcC&HvKT zh~^feSrK*i_+c=>5J}4g*yRRy+^DK@FzKykL6|o6HmCWYua}9iyz$MPWo46b;#X{V zmpbcJYC#co?`pFm!)tSUauvvBel>b5b1o12v^3fMBE9waA*$hP%5P|3x&4DMHYWM$ z&@ZOFz4rJf2+u z`GFxt6O}XD9F_s7*{@YO`tJIy^{=)9NIeCMG4U^-fLYzaAeZ;N;Spf>IURPgxu%hC zMT^Wm+OICNKU9inLj@G``Zpx#LT`Y)A1bGaYTx>p>;hcIXqmvUwLOw}mHFnd7q12B z2@o`Jb=gN=2&?B;hg)KeYo}tzR|$np&K&zGx(!Q;{BP&i{=fFV{2j{njax|+MJXyW zm4pb9kY$u43Q1)fOCia=uVYFfds(wTC~L^R&Wt7d7DCpsk8O;>7-r1Od(HQG-=E)q z;Bhz{br|=3-RJT-Kj-JX?)x4#6}lWcWtqbD@vmom;KK^!w|_X6g+}JrwexQw(5G% zj5qE}HU7MMgn7T%8vj1WG=G$JI2BIQi_;oQd?c+}O++n|R9}BvCgw^?I#L)vqCHTf&vi-*|mgaV= z?;{4c{&3H==(QzKn~M#~QK#Ph@C7fqXZoEOG5YIlhOzwT@{dGC=>~&wZI=lCPTj() zzLv<|8+vCdJ@_5*{xbVdTxM;B)N^@%wYv*N#hpnrd+P3cMt%5sJPYBb@GZsfVlGy+ z;X>&bGd>yV`ik2HO?y~x16+@oWU6z(Vpc(Mc4&mIckN26r2j#`#Qr!PwK`IAVy?Y6 z)I^d#GJ=N=njDVGTHYB_*=m;Y;!MnJjGyoKKgc&#HaNVdwSrHROnZ_R9@%(FH_v!i z;Elbb?d0%a8L6>!J*61A-D?>wz}HzOJ^uCJF1R#swjad>Kll-^7x!d_qTQ}}2t_^X z&vTd}8I#qvRg`mSg(QyUjH|J8`s{REW|WMi;##GgS^wTg%t5fH_%iPo`_mGGsI0uA`JXd?5vHMnc6iM+_EV6Hg-OmdP4w%QZQY#yps!HBRZaAz zh4Qwggy7s{zA9PLDFj6_DKz@x>|?W1L*@Lk*W=&Pu|a-?jc0A*PN=h}EH#>=wy<6S zK10z6kT(GVdpNNINd>zth&lS@utqonvFs^bGyR4>R>^Bh9ZJa9A*6EB`Y3XfmG&b+ z*w+pQjSux-=n;NX@kV3l+)BlPv*9*-VTl&@nDNi3WsqH)Af%sk%7eZ1Dwj`8Bo9S1 z_tSfXnCq`Onvk==0|Ro3<~M#~|t_6xmKXw~qZ zz)!&w@}Is4&cE!`KmMo;$r(Hy@+x1*ot~bMx^DH*+8$Bwbz3J*FP4b>tX%Jvb5cX% zMv2rNW{W*nBmU25X)|uQ#+9rSl1fQs(r(7_cXXvLq?i=g{7KhSsNa~@2(CDs`v&jt zwzwLJmfK+GgZST}4p^}WbW}S>6|TL>B9Ge^wX-*AGN20J#MYvy8)}mPrM#SK%bXb2 z^vkB&FcNr}wM|xbeL4GZ^uN#{7qIo|xDqV&PSw>>6N}9>y<{?yzHxu)%VLYMt&g>M zIyr*?Q6_ln+?M$x9o%4W@6<%_;WmN)~aB64Gm z9TedKf>o`wntK?aD+6g6rta33q%A=MhT3Js0L=beY+?XSCGwCU%=ZvSW#k<~avWjQ zYi>c*2*bwoq3sRZC0%QklQ5Zo<{OEMw{sY&#Tz5i;o*pzu};wxvABaHZL5fTCE2;V7+KF%Kmj1F7MW}P2R*#J{d|Fu=)%hV?+#FJ z_tB~x1bo|^EN~?C*4saMo!s4W(^T#9OP3H4si6>Lr6Ul9gsrw?1j zgHXwiNQ9l(ly@e(&xnLA^{3zYJo*u~qQzh9;sKvRM(ypzi>1g-aLpUnj^h_yE!ASJA*e72Ia~+nob-v zPwyL)_~K@uBy2ol8-m{7pRGm!v`I`cgHeV}G$Jp^-cebaKbs+hIEpQ%1@iP+6tsMnmZGNB$WrOmzjbUFQ4nsAadpiu!8ua*+`uKZAa^678L_ae6H&n z95ic#Q|83f)X{3Zn$Gg@m`U68#T&rR>()=(yaO-m1z*>+lPlK8twB_#Kqmc3$|QHM z+>D%M5VG?@BHCM5nw?mGLEq-jw~sSa zKV!v-iDte6#i~5{Mf5{}caeG3VKxoNHr;rS1YD8-(lM=G&!lkq2(wQvpg^GHpI9i% zCtu|J#ws}U{=8@1X$=s=)r6*8N`Ntt+nyW1eAb!ppRZrPZtRIG6Dz6NO83LBD6*DJ zHWauxxwQ~eSQqDN#_8oh=)edIDC;bdDqhr@+g{2EI|<0z~x6|<>kNB zIHTT;71va`l{3@Q2}y-*YV*E59NZWe_X0(}r{5pnw=0D%B-FCMp7!bPifhH0@HH!* zff>T2W6-k0Y0JLLv`Eo#eVd+$R(992jLR_r&D3Ey4y#R>hv8T+u?L8a@-aP>Ju~`i zYOm2@C4A|gR71tO@)PCkD*SQS^XJ3`Zj)*UxU?czt+x`2;a&%vS4n;0&!0c5b7gT3 z#jt0?Tjc3O0X6#=r0YE9bq%Eye|&PtoYp!@$IXmj)5+mo1RE3{j#h4@^1FRo1fA|agea`|96^v_D8-Wlz*n=%x| z^H1MLx&l3KEwEIS!r`~VM)X#*paQhI+eKFqPHr~Iupy2v^c4+pL@Km53-sHC7 z*_vD<-t>tY51b@@f2C>!B2k#8uR!Yw^j=kdt%il;DL6(Nbic(`RMIvhGnAhCE%KJ_ zW_Ffk3yShai8z#0<@`9}pF7g59zMjY(VRK6@$2FK0nXmZk5-!#*P1VLIO8OT)IGK) z)qs3Vs;@T8-`)P*=&$b~GosJW7Kd6IE^F~8A&3R>h5DRJ{4##K>&PNMVAI%MQ=*2R z-au86u0;LrctmtMjJ+5`P@S45S^4JyP-0z-Kmf{EJ@s=lK8Hy6bY4@Wlh>0?ip|`* zhxH4tAD^>)0FZ8T6q<8MWeHH)r!w$CH(hEg8eKWx_=t1Tv*n(~JHTF_=2ua5w58Y2 z{twl@i92G(xeSHDMg{6U7xOi6F{Wq2FSA{*!;SyA0lK1bp-Q&e3zbwR-*_B` zo`1hn%OyLswK#KiCsWMj8)zt;<}bY}{j2OXm9}WqDExM;vO9+X>uvihi5)^wo*5p! z-#~k_fyH`LqgZ)el@lwVm{q@6YC~Tdqx;Rw^q-_|PeAFT8#Iip z9H=$k_B#mrL;H1n+EW>a7#Vcq&noAEx$$oFAGhy{U-kyLPh5^Xd9HNGvYy-20{PTF zZ!|ruc@7$IFg>C?WRr?^!k~6Ecz@IuEL6;`6599UV3fV7M;nyaZ6UXR)O*rW#Z3?7 z*P7jIOuZeu<`UY|;q#mQ*&^el*bl5HY2vlsOXtz%yP+~M&;lvToEqTLj4EJ^j(;yI}4GAby*XHx;j{HP2!Y{}X(Yg_&zn>rbk{c0BKsmw+D(NP6W2y^ z#E<%G!(O^*cHLUw^+YBY_A*(8oNrP^b$A1r`;m0Uq4nHgY_+ww_UNxK7;`;+mJ=Ve zmg}uF-LPFdR&J9Ejk9k8)acs}lIi<3yz%Y5`j2;|PbZ%e9Q)NdoKzg)r}P!G&n>L0 zX{7LHAU!tCN*lC3WEW605+uyOP)^MS&}njd{l-QS%cws^dF{GXi*XzOi#wTjKr1e$ zvNQW96el>Fl^GN+-4ltNUy2{Y9Q!aAm12+sVFmjyeWH3#H+cKI7gsZl34+>~Ih+4y z9w7DbV|jpRMj*Z7;=S!FCQQYzWG(HNw5p}S5z$n6!X^kC}!p( z57>^nmWa7rg-iVEDbMAN&`~xYLYyxN)qme<1Dfv@lF$RaXD?nx{ng{baX1 zZ`SMPokPgiId*ezOZJ*o&A5Yg4CXox3Jt!Ouo}J3R>4QruWpp&gT|uyNA0$yEj@%$ zaSt7d^S&FrHgI?k+qKNFnyzY8>->2&#NRuLm@Xnu$9s@2E8(FMq}Ef{fY*?G2BW!> zC!Hnkx3KHx{OC!2@%*Vf`G04_d8`eF-23&a^pcqKQzZe6Kb^VMP}~|kM}_u0Sh)QG zv}$GIy0e8eO-|uY-{HGqt?WD!1={B5fR&har`OK$2{tt*@*PqYem3(UbywEprcl>- z`k%C@#RLe=^xvU_I(n$%0$4*SqbZ`=P3K}cz&hsMcy+z%t$2y(=E;2fcccL@oS{)U z3|%$vtbBf6-g0`qG;H;2F|F8Ib_jkv=vJw8U(k~; z9lFR9L3srQ$+tugFcpANqvyiJHjt!gmGttLQxmwB`(Cb0)MswKbc9(gtF-pJi@~EUR)9a> zqM0_-{M}bgT6G^zq+DEKeqf_hc>PoK`Ht>pE(Xmf3qKU+nE-ZI7}MP?sv}k*!J{z7 zE5+us!%OxWLb)1$%49{w^d>7p;T`LlQM-zcX0`77VKCfV5qIH0-|ps%awU@}B4LO4 zz1yHh@Z_au_oSrW0H~1Lcxwy9EYQrWnhCp9P=4551EQP%+n0-wID0*Ko;~rDw6B$svzG%4DblH|0Z%>cBy_eztRfEijHtZbI?qpvxpqz(+(t`mc za))>f`?yn{bpD+bTT|mZpjzF!U42Vwc=Bh_{>Lclt_H;<4UjAqT62{U30^)IQI>oR zJNj52y~Wu^qL#1HuMzpJL7CS%6O$o59VhQFUa>NiYXg_8efI2``*6HLu`%+FHN0mT zcniuTyb#wM6Bi%%?p#A?Y@u+f%;G*a`RNF+B<$xr-mJ4T;i$w+;ovUbwsv;yyu?m; z>pT%bHQXgJE67zX$Gsu>y?8KA+CHZM<6%wx7VOXqaE|U|(^KQTK?I6}?{6{Zu#pcG z(0X}{$i`~%#4%_tfLtqoW8mx}R?>IzWC^W+RV{u^w4ek}IB}a+(I{T;X#{rScg+=} zClXyEJFq%P*slDyCiBf-Q3wz9wms!EMb|n)mNM`%P26!3*D= z+_-;*nt6g#na7!?ljw4|jlJGX+x)7xB|E@z7rz^s09v?*MqIps>~~zN4-Hlt4UPB7 z!G3;=D0Ev~dT!%y>kpK_%4kg5(~sbBEt&uHX5i$d_TS);oVk)_9*gmUZ$<9wVj4V+ z$gkSehCb6D7$4!E)e?S|D;ZURVGe2)GN-%<4s8SuA8e{S7|>urt?c4;QekPti;FRO z9gS>P8LHEskQ1oGW0+2hd`ts!X>ifzS)V}MHrhrzHRfP#r+F^cF9_H!VUpANm`7m5p^#g|TB+y@QKlK*t*##nMaITWVfA)U;Dou5Y#`_Q_m0XK__Z@LaG~ z8!3ikh->oia-CP`J`#c0Cw=5)C=^d(aYkaO(9b>N0P5FMc1%n|QPlCk+Ez^Y^H zvF4E2gS=(!0t`EfiJ$!`rAm{xwkJ%4OzYFV@b(vMv0~XG1t#cO83egAu2tYk+IIOEvGK#XpjuAjuUM zJB@oB=1qT0n`FuOQ9#?<>ryFms*C1{_piuXh<&avL3waSeW1HOIpE8(uaCie6|0=U zO5Y}nUEM;j>&jYjs33G0`qh_TJ}j&7!KTa1H;_`iJUpJBD6CuUOA|MDgJRDkza?`c zZfG8B64bZ#SsX=G&h?o*#U6ITkoN!t!RnM+*4fG|sCAWc{?x+rkn1-}obU3V$?0Y5 z+cV{6d&k9LH3E82(2UgiL00->+kegJ=ky*}fgaFS2C8(<;PF*K@Z<=Y#L2RyT#B)$ z3ekJ0s-132KW5&j?6m6x^lWAfCr2@(jtExeYNxz-_AD-zx)ASVR=-}LZa@Om5aRH6 zWPL;ik<7Ro=!nTcmC~AwHCC9NAaV*!5y)sWv}4Q8 z*!I!yhjaJ5jlg584NLP^7Te7NaAi)D&i7=3Ou01zKwV2kd3UZWjA1kdl2zco;yjOx z?7gqIpl^2AtX$rU80>=Ce-ziG6EAkk^^MYrmZgtlqd>hG{DhlV7#N%O9I)ws{{E0W zpd-`SMf1+Yh;boIT_JvLMn_T{wazDZ&}#>!_vN(bJWfeUL&AZp%bb3Ikqr@Y3w3L) z+k8d$l%sb+EnqV2ejm7FRCu$%yA8=ZD+*(eQK9YgEA;EqId1R#Z~wq{o_r#1_Iu*~ zOt^~QhO=!GA@EOvGR!j_kl$__+RhKEpENpKhebz=9;I%BodCI}>Iu-h{$GK@>%rnW zO89VwtV`D_L}`4pYb_CO+4>}vj*E^?d@fOIt=%G4f}!q3=OPIG6z|tS*?Ojf`T-P= zAGi}ygD&H<@7vF2zU`PVs$IOd`S46QLImz&c#wEpCytBbJ{Xt) z*+F5y3}tgS)y&YJNN^?qYmEdi=%zXf7e>wK^nj4&+|zAeDLMw zn`HKZp>LY!+YY6iJj9_Wxc>y`Y9MsbfTpgjwdApI>Vv{IYDW7$eSH%oMV2G==-G3= z7Yts+pyXqO54fZ*pZl~b=LEIuYToUW^Yd%|YIr~fa>Z=?Xl{Ss=CFSs!*S`t0WiO9 zul8TkkF&$GLE%cwddm=XZ6+P%-8!coDM@m<Qp(U8pu-nm|UKb}Z(sy1s zKd`kvqn>*vAugiujUQ3j`~_}$tio9jcgfLP9kTdw_WvJ!mMT{lOp%p|IKPdQrlf7u47G7ul^l8;cy?PfCIw~7zx<26=`YS z@QMIX3w@K6g&5D6?dKCSaEi!!$bQX0x=+seio9u?(Rn}v*_t@abE9r_5_tlL%dser zJRGjCDn0sIIIa{8r#zXM2syfap&E@?B1{WNn@i{8c^U#tr%)paWORTyM%ucKE47-O z*T`#rrv&&}9MAgh02Eoa=b(mxxHIC;^|u+yhV+$}wCZ+fglpZFMIPYP*{i6VtSiyQ zFl6bs&7FO>oYx4;-(`5!uCPN*$oztW@k%>`{`eh)pQ_Hc_7V5*+y&88Z~Atm@D8~X zi}yp_49hYwf2eGt9Ptgp0VyRrHuXbCciIu&4*=-{5~mfy>Clt+hn9sepL>u66z1{0 znW6KLWa46pc&!iwlje20*u463SXRUhMrZ*5mmRv;a&>}(Z37KLIrpOlsrBX$onwkccc{7IUt_% zs_S*ugmGHe8Loe|w6yUPD8QMN?J}HL)K_&E0&mo$OtQ$hA%hN1hx7g^!f;877@~_M z=DDk!;0Mw4%?QBEzZOmEf<&n#!4V^q`(sllIV^2-`AN+i27blvRg?_TLtxZs1(*^X zm}+Is@)e;zV~^0@eV89ryO1CYkt{semCffB5w45wL;F4lLyD}^V{rk>mU=JsbUb6| z(&_QHugPBp*Rm4c^pOFV)lR)icWy7LltxTnRIGo!II|IE4~p{VS?Ri!UD@x8XXX6i znq6{_V(Pd<`B1cB3d+EsIzX+j#9Hh|$-^Y;Qa>C0J}-}m;~b5lFx@zh)J-3B9bniko24K)h1>O?A4Raag8p7ZPT^xlef*=zFrCv<^o5dkEp zPMzRpAPTx6S&o{E3uHL=#aSY5z$*6U9$|rxwQPOVyM`oC?$g=*N_M~QI)R>!zAV$f zOAtlmWmC7Y@YSsT^m;!VOCD1E^$Y~da|jWatVE!l>2xMZ^DbHD_QJ72w=RkvvHBr_^|yqFFQf5koU{f9J(r!cM;?e z-hhM0UF0^_3>E61=*QHZj0G!$h+7Q73Qiz?D6v5Zw~WqK(}uszDE%oTsTz>#>CCJ9 z>|h)f<9gE;bS0q902Pqn5vXtys969H85vvsxaG4}Mo)_CN4L2JuM7|#A~zsCP9O2p zV}^#X(}VbhOnqas{c1^+YkRMlA0PKA^?~hvSvajh7Z|1sklHOQzhj?=aGft-B|lID zb~M?7Gr^SoE@KQjjY%%)}``-3&N0V7q~ujmC3NrS;in%9oOV1M_lBo zx!*puKcFwk(eWJv=HH<^MEs96ENmvxOSZ@yxfMT^IfX#hZ8Qyga4z}sM!?LC*8k2N z+dQT?NlbVbd$`-iV@)pZ`Ljuv?XCzsBA3%LJd8d3QA~W*&zij&^v$D4Z2GOzt&hLv zSOBKJ1|!H(NmJLn>`|lCcGu0tQSo%p2&O3Zr~w&`0l{63VV2JcK_Cc$76H1; z*WEdh6VvCzrbq+e zkJAywE1(%{<2fs7ikfrd{S(oH(F3hl58a%1m!}tmSJWf6;LFbpVKIeJVp{5^4&|^^ zL{IWWiB}$nBo>HpkM}Hi+oVZUXF~9v~SuV{NT_0FeI5M8ryPi6ldo0_hP#uGawctN)+A-Kxvf zPw>BG`KW5X-79C$y`!B9e8~pJ73I}@Er;HvgIqE577o;Zll?nnaH~rr!w1}Q+Sba> zyK__YN>~;kO4PbK;@WDkui1Sty6)oLRyfuK=VXauSRGgGiaf+N22>?|$1g{je3S23 zE@@XINUaEOB&aYjJWB@>fCwF^9>qvJ1^7CevH*k^V*tH~gAf}=6l~l#;HgT41O9^` z>-Mb{9d4f^Xr$9hk8`L(6;5%etqs_u<0yQ4Eye&(E$>@k@axQ%&MD{q&WRBGD!;Eh zgayq_81KO-T`~1Di*zzD09a48eE}Lsg7A!!VB^UX4N6+|j|RZlK_WS=Y@L1CQ2meM z05Mzm0-4qhF?j}~k47(cYKOKw%fmpKmLs`1)WmosfjW~3t^$;Ea0abf#qYVGye}jc ziON;D3)k&dR_z{yb~YLtn|(Qm^)ynqe(B-@EJW_T0YunNQV9+-6tk>#Uk}JymRqvA zzTO1Td-+qMWKnZRX0D2$Rp~-*o1mTWnrtY83Udh5A?DRcPN@LV0Mc^|(Z|=p0S@$A zT(I5o|F@&q9&ET9N3+Rtv2KTkos{xF*7RA3Ti76DXEa+_d2ihiwn4}=*zv#DkMf^f zv+KHk9rUp+@>bvhlRu?gT#4EJ&%COtr-0FE4ZRy6Y*i4`x&MalE5n}04-+upS}6$i z1rR|_b@1LNPWDz|?HX8Lb|$rlY{92`zfUtUEueuF>WF+Oczg1VlvO;%%oMSt{s(YZ zJ`~Cd%xsO^wl^fYED5ChHuCsCEN_n|-?UyXYQng&jvwdjS2a7I_50o^lU2t{7ggC#z^ z${>ul@pQsJpt@+fT>;OEeK%_bWbb^Lw|6EcMoJ1N%JOM7+-E@r^{0%qxAUCsPgX?J zSw9YCjPwtj&;))0S+;KHpd1>D77ZrOSTb#efCsoRHE!w~!d!uH2PA9)h?0#OA8T-t zlR$Y=bTTqBHoIxJ!H|MjNrx9K7rnq{6nN2%_NjgsaJ}H+-ikw2{5`#++vSC@J>aDx8SnN1b#gn&80 zFZScWW^4P)8Z-(%;LXnRdk9hcRCxQNZn0S4O}|^rge0i49X)*{mbQ{1awDo;Lzs_H zQ${BfE^U1NVYHnVGCECj?vDrBoX<{@jawz;+;NBxUF0&uGyk|(RWqjgptl#kH7wVC zEmg*PZeg|GRBC7;1ZLFW+@y)<|A!Os8D8~)vFG!z2%PZ=@p&yR&7;M&*jWe)3!{Ur z9db%LhQ+(gYIngdPo_(T)C}G)7d!V9UAE51p%*`Z_=SR)F552cOP6=F9}oqC)_H>$ zFhlpQnzER6e;CeuW6PU^Mu`AR9eB_<@7_z*y9O(eU%u29tU)kf^1i?!(F~I=P z38{{VV8(Gek{0r3rxa7bLBO(ZI?5XWKLI@nEAdsqZo|J?<@8lX%rRYxUY{PTLFhip z68q9n@e`Ujz~G3tJrhWCEG(kJKEQ|+H>`<~`uDv@n;$J0hkn-xU!Z1#EeC##|1nv- zIrhH`V|vfc2oENv!@>+(F)V8f28`VLFAn~*!GCeUs2Bgm!GAXRFAn~H9BG5jnwA#xNn~nwonb6Zb)Eag_bdYc E5BYfbr~m)} literal 0 HcmV?d00001 diff --git a/demonstrations/initial_state_preparation/qchem_input_states.png b/demonstrations/initial_state_preparation/qchem_input_states.png new file mode 100644 index 0000000000000000000000000000000000000000..4185bdb7bf803e0d7508276ad905a73f5c3ef47d GIT binary patch literal 13796 zcmd5@WmB9@(?t>p?iSo#0|b}go}i0|#bI%Gf`nb15ZnR;Nbtp77YQ0dfW@6f7T2IJ z_xmfJshXOqtEOi9L-*C^bf1B|*H*#9evOTSf`X@}s;G;Cf(}JNLDhVP{``f@bu{{U z`S@N_U+L-T>E!6Ra_gz1t?jAl?AOu5-QC^OQTO`64^&jtr@LPi6yyr>GCbT|&JNaw z272EMOMX2pG#wvKOiXNzJSHZjuCA^I1cW8Wy3~|MjrC{mF4P>~*5&n%?VVTu&7TyH z!vFew7nZxKu@?#oAM<|`)xSj67X^g@MNLs&-+$pS58_*_UK6dAy7ogk(Q%A)==dq! z{wKD8f*_@}`_RI*rQhWquCKL>e#w_6d`x19B2$Vg%m3zbn?WYU&=$z@=Y{gq;9{9h z@`cPdnbWx-ygY6t*MF{!T|@W5|L(xLf9}?ueo9cA^$EmpifMmQL30 zw(plSN5aGytmane^@G)NP<=CrgiD-UdM{nyl=%Cf1QpCsSxjRYskS8a0`kG{mh?ac zR@?|(?0${xQb)V5_5rL|8PnUI;y#x@86?TkCE8#|dcC~_kD}YrJvhEL39H6k7TAnL z8n=gkP#6p>;_JM(?x(9Lb$x@202oprB5KcJcu(`7BF|pN=w>pR%HXX>?LUf_U{s*O zdmYxRVO^9N6wyzG_OJ?K4R+n{BCOv&x|k#>C2DNk4+<`(z?nzIPQ-*-EUfV(`Gi!El-ja#$Nf6+ta% zG9Q-Ww%d#--&#P)p4LjDidz=A##5uSiE+eJ%?FGBY z*0xZ04velE6zEH6wwGhw0#<$mXGt`u3?@EwFK#!m&6~hG(J;hTr3D)KbZ~QP<)if? zT#><;5fye>F7FE=OP~*9s~=*T)FY&)r*{%7k6c=d$P+(#G@d)eea+=Girc|c5Ect& zt@1!G#}@bfi&EYOHB8dr?;>zz+hWBX@V*^(QbZi_#gZ-J8^63+B21?6S6-s{ zU&30p5w=V0)_S&`f%G0B+q1cUa|HX`I)Wm;IA<@15elDL+gM>-Oz90H4-`yL9!!~F z>dzmAWQZB|6ydycu%`5Pc9yHMmWHycvQ(vmqSDK~d0{PJfRi3Wl``@}X70qva;c0! zhx`&pVauzvMYIZ(zjN0{da|pWm?4WhuJRzMz^cz*3IE?9dQxlgVQBjywi()_E{|2M z2x(ay2I0V9&spU-_r7EXYu(~ssVwfM=i_;ps+23a{L1?sNq)bqXZ_HWju~F2($vDx z7mzD4L)3FFQ)_7{Yx!rV8_=bc_Rbx=ueqc_q@gt7_73#obtR8B@iUIs@cr%A&W z)eH>4U}EX?ntw;!LWIH&+SS1Ud-H=|jTX}D8rs`apw^uPfAcCGk3IIl*5d;i9a(gR zzg4JlnBmN;xQj#=f$48cJ)t2X_B)3zO2|5cQ$4SNUdEGzd7a$?!G%8w4{?x7Ic>gJ ztvn*o8ZLD#ot7H*|P#ct}VJ;<%(tghaU zZsuwg2$UOS?`y8+c74S{X!L!WJiI4Ta0YUNcIRW^wynU^4lX6!J1sSde-ASs49_;b z$#go@JxJ2|EEiZQ&+}hojy+PLUP+4J;T)@h+`(<*ir&c=IjrB{v4D9OmK)rEJT_So z-aN3!Ee4BVgZnW`?!e_RQroaoWkWY5o@wciva7VCpXT)yx1v;q9l&!w!GS#TyRODx2!@J(S(|*Sc87QwwCgTu=h1XoEb%s^0-4L90$vb<+e-t-uaI6P)f#^s|--+V}r3Nh;6-l2p z=L5_2|4E*FAj+GpvR7IY;di^#v-$^oF#2gRLO^o5sL^USm{GUPM|<$H#rJ+L(=&hC zY_ObBfVUwRz{Zdxmb6`JS=hDNS9@P@iQ=}JZ=D@EHpB#UOZL8bQ~TF1AT?$7xAR>| z;NQl8wzaq7UISL|Wi0!|IML4u@2>iK>h)!D8vb|GF}7 zs~U&9V(QSm_4DL+i!ryMV-cl2S`rk|p~9zCE47~9)pWYEWz1FpxvdZLygB9GTz=}O zm|AiFlyHd%oVdTxooYq64yOcu$#;f)2svw}y1oi+?PL$qgS#7RJ-F%|AL2e3l$&(E z-4uFEbh3Dd^Cxh}v2kmtz^TjdlIhakrY4X$W{SU0L`-p}zTIPPZ&0i3kd@N^3zzkU zaAvT&9C=>kj5|ln_j$c5=umK_&k)T}c38GdhM$>3x@n=gt5QqSIgL*J%N+CR{2QpS z5zUw?$!f|c&Zk8po6Y{w?=IyWR&>N)Wy_74Iz&`~3^4sSf4Fl`8OuN~l;UCzP-^o; zJVb|A%4qQGl)})4r8iHNgZygCr1^!UQ@AbI&s!@CJC7WWpZa3lHbSRTUme{H$#Sb8 zgH2w1usZSeirG z)KK3B&p$R-`vRIYYK(Y^ZPvcrBRU08b-wer-G?CpTj(-6mL-$Z8YI-RQ(09BmETci zySpQb#7$ahR02f$IRX}{C(*<5`WtE|!-WkG7WUcCxX$8b+ zlb~c!WTyIe8A$(`)Utnm_So#D?}Qiea=nH9kW{}B8JkZu}d7;Y!guqWNX4bJ|aa0F?r-@y~ zd>2p#N{iVgsVIp5I9Sy!L;=fwm-bZ(`YEhc-_=fv;CDV(6ijc}=tA-VV-77(#M14f zU#t^w*ZGW)kjDddXdYcSPzf)oY3tm#mV%6d1+u4EU{+vEdD7>5OTMNwle(Dn>1EQ3R8rj%_6vz?2TAt#(^e z8%MJC4!(XfInNXSPcc4WL(q+#r^1scM^kGzz!qqIVexE~BvFt}be}KHMW2Q+`9qnC zUX5F&{g){c<61MoOlAHVTv9L_%86wF!jL~O;>wHoYUk9Z2VB4jIo74h zh{<^@z>Gf?*&mtohQT2k?L5y3cEbsF(bswBW2C#G#;1SpZ1$!rNZ)r+Ay^JIN%KC2 zCr}6Zy@~8iEL^xP{;SAC6qLa-h7WzbvAKHZJ2&9e=3`F{9Hn?A#h(fETx=CoMCK4u zACp)Q`IYb>syL_%_n3mPfCRkv77pbkM0cVvJ4vLq${U>$YUY}Kj_TM+lv#a?j#F9< zSl6$i+)5QBZ7VRWd@+rdEU<>P=@s!`k6W#}_-EgSz}vG=>9lTdbJLJ~=AE># zI%{#Rz%5nLtw9ggK`OxK-=00f2;DN{Q-KC#mD~K<$t*!-^N18}5<$JEa4~c1SB9bT zCm)e048@6Z!6RD&+&Kbi2}*A4(-ry8;E>c3(vvJ!>|&AVZ<}#hTY?>Yi3d{^yYH$` zV!mUamT6PGAu!<&rLI)<$VUbx#RhT$ElXE!DTtkw*()$JmH73|O%e-kPUON{t{9$f z1jIR}E;wZe>cl-BWURml6JltuhPyZQr<5bAVOZJF?H zBk{80ahHJt;eH!R>z=r!OYIh)&g??+vke;gc9i*u$TPIbbB@6y^-8zJN=*#n2Txtn zh0Szzy_x7N4ca^Vq#pBkJhyejz^QCN1KZNiZbp?+AZC4w-oQ(w$}4xO+}9y)BY;Q= z${cbgUs>SP*bC+#+VxUTxBuw=80D9!fBjPDJwP0VBnCe1bK0k;OP}(>EEZq`^mctJ zG4sPoFSQZ9!f7;_a;AJ0$00z~NoJsBI3N#U`CKHDm9=CR5_r15|GJt{V&b``h-3l| zEl9a`-3jGl#DbmJcDC5?6AY-1K3YeIrLKF^z4>t9_5QYN_61uH0T|xN z%`xTcWE{lcI3)g&5IXmXPb?kn)oQ)HYp?iD4|h3B zF2*oPGJTxXZRuZ-Ee^|%!$cY5E{0eqgon1K zs_$H@bg~hrUrF9*7TdpzVdT#kIKv0}bSAI@ui38RfXE%#=j!>dJTH%oG$y~yf0w|{ zW}0n1zo#MVE?%a+^Wg$UzU7Zzy)K}4*M_<3fVRX;<=c<(Yw2bw_Vx?}y%q%_9>B5? z^5qI3lkZ$uSJb^dBlK&4i6+t#lUH-~izJ>}eK_5?6d8JYOkgem^*pXdz$kY`;`33>+_KK80e2~1hIUfPc9rW>e*ya_ux21ahm_<=UR>MAj1H%s? zhgGT`i&SDM31iCSBzhzBk#8EPYy&G*PtV`v{`lt5#LQ5u{w|mS=*RABY$Zr^M+trK zCL%sq8Vt1Ot9bl-lP@zD%6Udxg5%vr1X1MM~cq#ECE<8JJBwEnwWdNvs>c z?9<5xfosX^*u^LK%XX3F64>UGI=2;AXs$__m%6NA%XFl6;zk2DA!9x_1qR;o!M1y2 z4jsHGV0Z}qqou4OvI*AqSy9wvu-zxtM~aVj&~_e6(zaxzuGi;O4Ic@tvI1UM>R|z7 zX9yXrmC`+#d{@7!K6?!GtE1?mIB^G$kDJY8mH$}mSet9s!*;yWM```z@AJPo6Fctb zrj(fKFaTqUQ{|c9hXE3e!EFFvsdrUQlbpw*@SWNJp!IMcxzn4Q#fS5cu;%lAta)Z^of~ zz?H~-M3D0Jk6!Nnx4ST`8P6U%cPwZ#D@HAl)PMe*uNDFw9Zmt3`=E#M)0f^J$I@{bPP z0f^x_vl-X8GrOkU{ZF(QSKS(9Hmex`N!Jk=oZ$umE=jz)1E+m{op&HK9124*cF`U? zbTF>}{4xbblQBV094ms+zIb29Ny4XGXQ(MJ^bQ$jV7a;$b7YV!hy;6!CKS?VjbT%0TKDp6!GkYO|J0eZkl zg}=F!Lw+VeKDH}%bS2nC*GOnR{<}=`a)%_}PVhobrr;I&eLr7ZGqWhY)B>l$ZBaKn zw0C_eYpzWPW}?k=<%L1QWS9q|dpS(-a^vq|X=}nyo7brW6?}2_xcl!nVd|}g;xF)ri^b2an0~7&2~S7F zL8R5jW9$|&`iAiFBa``!OGsYOWWq{pFO&2?D&(VR(lsPRoAV|4RIc;<>vL*#0>aVW zQ@34QuZ)p95!i-p{Mc7RS=>|kG!}@i$)Y&isS-5NaCU3M*=ETE&y(AJzYB_oiEAAl|s^OjpL z-hYuVPOvfwEvR)n_QC5VEB3me@W#Vz5NI=G@Zaw@v>MQjMJ-a%)B0uuN+X@2+w{+5 zwk^cu)Q9&JJP(~Xt7WY9p}UmI8V0L%V0aD9R(y;1qX?tnul*`*707GV)} zu~|vy%8ZX|X)=cW222D#QCW4hyx9YSK?vf#u<3P(D#2JtD95ajU z8Z#84G;3cJ9V<~l?MeoWkVw+$5``*Wjyt%`Hf^Jq+Qwj%)nC;C+%kCc%LD#2KLX5a zc1LXUY)cB-ez?^a#`z@P3m_}GE216VD0l`*1Rj*CAYcDbi@$RidbnvRYYL_1B1gn_ zcZr4Zld2SGB?{XvXC)emJCaBWD}+&ul($^7;ZMdwB@2c^A5>3%>^dG991&KOK?X<|+Ijel<|KlyyeL>=53Jffh%7lTp*iNs<(@eoU#` zDrt@r5^sm3cgrQA1D3K8U~^66@9>1d3oc>yoppmx7tE_RG$P@_POq_f$6^8(Qggab zgNUiyzzM!B_!{$pW~YKTYo80wqSA9lzZ=*{U`r4EzZu(Zl8LW}7;A`Zs8n zEGQ8@06JuF(qg8JY-U@`{I@@$K%a?WYV@8`K}2@yUG#WSJ|JB>;Gifl=iodg`~a*X zGMT#i1pwM{w~cKMqqhgB^JKkWQUT5F{WUKc<|?wK{5Jy$s~V>0F;XHwNy@l{? z@(q~g7<;EWANH*_7I*4hvqa>9$wm{c5six}OR%D;U0a6+3=R3)NaB9I`Qw@_!cyV| za)>G=`}hk6U0{sU2tnYB&|sEb^L{`IRkK*K1aI4b;W08a zP|Tn4ge5UzIewmwX_lFsg2eeAW((Rxa{fiRH4NBF;{0QsI*-r@kAFRVfuHgsP2Wxr z{BvBjb;qvjP%W5{2Ccmb*O%ogh!Oe)91;Z&q;NF7aGeKWc?idXT9lJ*IbZQR=tK_T zfw+f+h4T=3IveN{ejqJo;M=x|%iph?jb-QNQfX z!03Fc!619&ZsN!Cedzte}acSe9=H_TL&ac_X zCE1I^(g707Ss`imB&M3K*5k@e?STWF0gmN=g!y;mMumoo;5>2XzY6T!q`{;QiuYk@ z05w=OowYqnelBcQ?=1WvcYJ>Eb0X!UM{^3^yAnl3A9ELnbMyd!lRl- z#wHTq<7-|_oEe+;5|OBXN_E3yx!KHi^&fOPEMImfHpcpcA2Nw;=pOUWL&y`w%tg6B z^rezm888b>rieVYR2^p*jkamqQ42Lw*sOW=PVA7U6q^dV+T%l$Lju*KFKy5p;~^IuCFr#m%cx*?0Gvp1bg z_WzL&wqznGzjCDqg8rT8mT%;U>)+T<|IprmMYzeah z8YH2y;AIwLj||5b(>=?>%8YKL;tY+RgP9#3sUBv#_1|Lu)C_)Q>bgWnSCY&K=nCn!xWiMeEbmRJ!5xSVIa z@(%C<`Zd{^N)+XRL&%|MQ9ot2lCw|W>b{a3iOrdQZ=@DR4=0H+7;M$p{S2SpyI7&W zUzr8vf@w06>wv912&&VdV9z7sFx0|#hrZRtjDNC!84H#6gQ#}i!8>VOS zH3H5HlFV>e70O#2Y7PfhpMS>^+)4MT4?-}>RSON%LLOLv?FDwPPAy=snU~#|e06}v zd|FjjH0-5H($L0->&(accW6o6cKlA?75z&nsR^NyE9#2KeAou%ylL9HQcmmWsVa4X zq^9!)XY~)no=0BFZ@76_(b%*G5%qseH?F72WZV776W6bxq|R)P`=9~f7}Y+{BnfUr z*N4E(E$&gLDVeT3fX3JzdN%%jUUPRkc1Ti!F$?I7f1`Cf4FbB67f0&HZuoo}QJg3t zg-YWWixOqdV%Ld&GO5zs>#OsDUHq+GypdfUU3rpLOGYr6e{USrOj`%89vi>Q?cnB_?`CMgSHEex{L?Ezk zDo~t#7fyfLU7Z89zvXL#++U@NT@-V~PKZ^k(fqTbWQV+CRU?iOd=!WD|Gqvfh$ej( z)0^s81q6}ijTgM_PJ6B}3>iS9rq6F(>7vO-t7404hjhv&b%HC(q9Wg$f;Kz2EE1BDjyEaIgbNn`75u@19$(W!hM7sz@y z{SKg%_Sabx98SSNr!<&Hu>62Wyw&VIR==z6`pmgY3Qm)~!-X$}Rqg4* z4Py>__S7Q-v=qa=M;5r6z%$zDB1=eo{GMtKRR;m0ZU-if%3cBQ1_6rIZF^1A0kcT`w!hqK)JqlFx9aJr2|J>(woC!!()0Fvxz}!@;rAuts_myVdPaUe zT4PwN3x^}5w4OtdySelA>-ymznKRT^&9XKnH>?o23WQ7n=F~)Ai!#!Vw*?uw>dwj9 zC)aTjW(cBsW??MyL6||W;(mW!M7!6qL?d`>O7)x^vI1hSN2RjSPQ4zYGiQA(^xg;?H zVsF6-;g;h?ElxTdO%5-5O6>1n!+=w0`Er;EC#$cvNIV8 zpaC$b9Q4ioiv?Q8>pKh3)T{7JmV#@N_O3#l{P3nwPU6LdR*aZ>l-7hx5~6muc;4Jp zOQUjK8ypFA05;PuzN^uW8M_o5dJJL)GXD;<2nXO^ExDmDXsKex$n}aYqbef1U_yu3 zbrk+mFkr8)Z`iqcFXKKD^$kS3s3&ghu1|04nvtBD=a{b{NJSOkJoffyQ)v8i&JW0h zM_l{WvH$a5fovOi;DbS3j4w6hX*==-s)+qpA{T_Mkvk|l)K<)&9#jHDK95G zX_JiiR;(;E3Vtn0U>ptaavoEX0qwY{Gkl3#W-I`r);ABlRCUwzXN&WpHzlOzXY!rN zW)B9n0Gr|f=i~SH_Ynu%|0yvD^Z`;qdZHU+rEU`-Y&o5>RORc^8)}1M*`vQXF>mei zDC1G${BRZ%;rWT} zRr05jQsW>y_>1N{*)!+|9|p=dhqb3qnszRUS=kJtXdc1TK!SYlGYZ@xfTq5*ANO;s z;|28c%A2czC3sRIopu5e)E|d#NsHglE?#zYS^{1UqK{kD^=V-rTqu}o;0nbAB8vt5@K6p5wRdxgXcdHNUgBFs zy!z&Dz$Ga%iX6`!%Af2-Y1$2|HI6s`>vFA9Nnwo{W*}gfK`PZ;y~_xke#o6#O#~RC z$X>s*SnYB7*f6tq@zYM^MD3LbVu4=HP_D~(d|DScH$RjO(N`GVPWi(qMHIMGcOwr} zVDjY#PP>xO>@PV}QLbIq3;6d%Z5}_nApM66-GhqH@ZN%i*OumI1oW6Ug=4AVU~nF-HG~AZ=Ak80F~!O%K^ku4voI-!rRNa7}^MRm*pQo zndAS1%OYlN(RF8)$SV{`Jue#kNsTynGKI?XV|>O`5EX(xchW+j=R^XgegcM*S@Uq~ zP6;$;jPr^6LAu0UvII|N9v8}0W7lzJFkrd{v<+gS*)fCBhYIZrHqjw6-<-!BZu}i) z{BUf}CX39V$9V|sl=xug+?NqASk)aF1DqL9GjtuIQx$?~xIM4r{jV^`b=Hy`&U493 zoJ+)Z_xZmQsr*t82EkEP_%l`uo|>;m%b zInyae7r!*4tXDhi5+A(2;gb7|EeEi1;ijXIP$RZwYg>#^F?^Lgmn07)Fj)TUB%{Mj z@s~$BgQ)#;GJmo!(c993q>RiP0xVyt~29Iu7`D!8t0qH((>k0&4neD2FlWtZF z>Z&}M-J%74h2wtOSyg@A#siU zC^cBMpR=iicUXY^J(JtzU6DH1z-NZsF|y37r3L<}E)i-SBH-E%yW4Qqc0Jxg=+|(G zj04BJ$x8i)Ihbch> zf8V1E$GURp2d<4qv@#p>&?Z7a@Z(>cEK!FOv@W!LQ+OYCZX^ol#M~QSCJ9Zp_=rE$ zdi!y6{?4ylcy;cxLCGf?{oD6+7i_HoeyIQAjLVk%*NWkKGr?ucv~u-dk6#Eq{-uUD z_YEI=Qvl6D9FQTxLe6`Lxg$$MYGFoXV*=LW*-`XK2|Fv zYVrN}9!s@}4@0}?DPutSQW0bi;WjV|21`&_L-t!i@di&)>-s*f=^en|zzrG}+Z8qRp#>}F z!%|Hlsurg%d=m4>L#4M4?v(QW9`WWimG=I0aEHBi3psOgF-)0X3(1nE542+a46)r?%ZAeg$$0b22ARlp9^uv$I5bvoJns7g6cKY}%UdeL6BDr-O)nV!6g_jX9 zbveDwh)&_zBP?6gibDKK!J+XzbPG=f`XEy13b!Jf^yk7N$)>#{W{=B1m zI;Cu15mv`dcM69?hu-z9-|GWOn0(!U12=r_S!QXCR2IyMu(cH{aS`RveKDdGCfsy(!xLc!^=2G3DMy- zQ3dLk;rKR*7l^3HVKR)x3c4VtQ2TQ+lO6w#U2jC1HK+sVYm3tJr=ahlwB#CzQ=bWM z_Oc5?O5kvis>XY^%Xk^!sz_s7x&yEFf-=jew9F3=aaQ*;BC05lr7> zAH5?No*tPu8QzClge!<$&(~5xOBbtWJpCL;6MNndVk}7<7qf4*nf{VPC6JuJweVAL z__PdE{Jh7>1boXVDo$Be|EHn9rMpC0|x|DqJ{EK3Op6DZX~=5e)AFi8ExA2E3T6g-alDw>+_Xx#7sp!MU51SBaB*0N6Q*k)PD8$kH_J5 zdWL%K!Gmj?mH<@s%k``Dm#56Yg5c39kxcomN4_>nb0W?BT+@jkh~NGZ!-vWRIoQ~r z`~N=o>0P@AT`2EU14l!~*9ke7h+ru($~yM4O^Fk_(bN+klz~dI%o^QD8rU895(4;h zC*?s9RQk;WDR=YN&09Uagk{m7br~nHT95o9096jb2z5q--;! zn^yBgaqC$!vc!&0Wtb4f+l<;07TN#3*F}FYZs}`zZ6LB!4hzpusZi9Ev=yu0eT?`& DFdo9n literal 0 HcmV?d00001 diff --git a/demonstrations/initial_state_preparation/thumbnail_initial_state_preparation.png b/demonstrations/initial_state_preparation/thumbnail_initial_state_preparation.png new file mode 100644 index 0000000000000000000000000000000000000000..497d7085960bbf0798b51d09177d645bb2ef59de GIT binary patch literal 23078 zcmeFZ^;?wR7d1S9ba!`3mvqPg(%r3;grsy!2uO>7v~+`XNlAB0H%NE)bNqbY_kVbP zcpgdgEG=az%9}JCXBc+Dd_f(bBo2XP;%Vlel zF!-vSH@;%2P9lxCe;mVND4J`R5*ojKe7{AhqpUpAsNR1mxUzqb$HU7T42A{?5Nstp zK>qhC4nY`f72xJP|xBbi7PV1_nV_!u`UK? zGnGt}{9M>|5%OPw(&0D>koAZkZCJoS9BC}Ate9p$B9Sq~hi5Z=$;N_em*8U}X_rh} z@gi8;yyjeUZnUY@XHG!yrh#BlOSRVMmT9Le7fkNf=$FlXz_@Y=7^7eJM}=T<(s)V^ z+0+i0SN-|(=dB8z)z1x6>7th~&FM_9LOLx4$wkiVV`BVI_(l9wSv^%*Pqzptcgdgm zD@@w1-1l;hTU)+hr8o|v} z-K7x`xOy^qK3ii%qQ(fVe)s4#leBey%bIu&yO-h@v9261RT>y2{X_QQ+PvAd#3n5*^VUv3iQjNR*U_%c#66q5b*$980Lc zUXPgvC)@B$*-te+ZS^`DTLNew-&-AiviNPWwZZ8?q8pi*t&LL;5sJ~>7i7Ntdj?iD z-|^56j$t~$V5ON85|ff>gNJ+*om3LH#VT`-$b-ki;~BSyGKPON5k>VJWl)GDT11-i zNHgaz`~z4@X01@W&~#5CVd zL389_;k_C)6r!#N(~kU8|FasaNuj;KXZKN?{XJdQKWTH-zK#DT9D_nAxEBhODXa7C z?cQN;(7ihGmC<-I9Z{>m^f*3>8cqRoiV{I}|HS?}nXwNJM~3jj*%2LhMWG=|uHAfY zOf2?ps-AN~bGt=bEpFDM2$wo{au*LJq+kUW;scXwL4=W-SI(X;*hbV=T2y9Hsk>go zdtC1J&=sCk@6c=JW?0(P^etJB#(eLP|MChq6+(-X>p075tPacZ@>3D%Em9@*!~3e6 z`}HG9GH;}cGg<<#YiuRO%k{FjK8oasJo?yfKL`YuZNhZ#(Ea^zLVkqXG3!gFVkxA# z!z=DQ=i$BSjCuB;prBW^wT#LcbTU)Zd94NPDPH%}QN1<8UhAZk_+Stqm`geLUqk=O zU4c*!!=cgB--%1Imq&%lX50r)^XdL-C28~Vymyl{SeTzKSyGJWt*M=!`lHX<$z|Q_ zo_NzRP(m7Aw1?54jTdOwUT!S{9wSPTN!w!Bb{H9NB`WOYE?qp#jc<@KBBBu2)RpkV z=)g^Wy-{n3?X-Ni08c&j=TDsghe}%F)n*{PkC=a{3i15>vY^M$mX>s~j{CQ*J71Jl z`gOD;Nkr0P`&t;|WQ^B`B!vEoDR}0+(ei#>Tg${0XAOm+99+{28ljY9qlOoKVaw_+ z8-T5p_61P_Qxh&5D>iXFZdPE&zPD0-st@?vZcY{p(Mdg0QQ8tdrz2djgH%Pg= zCo2iJYd2QaEV38LU%FrKgEjFBSv>kO9OM1y*V5pwDtbtpz6Zh53aE(;XXRP?)@o8| zUyy$)AZS&o3*t~}z4c89*eA_dR3>^7Z4OWx_qq8hVq(4WmOt0XQrC9a_zp!vwpPB? zRcYV3%Mfy0G6J!aV(!D#H5{4O^;#%df{hQz$_0q~9QeWR3AFvAhbZ~m1}1a;c(Jz1K zs(arA4TvJ*;*evP_l(%@ioj2gZ(VkYNHe<~U>k`zTx8mf&u4eT*_-}yw&CRFxN0d|6`yPIx&%zb4U*N@0vMI5TT!j1~)wvSN z32CUJVYOH?clz+9YVKflh4#d9q*3j+SNm2*;6YFR;H>6Tkb491M?b zUyBu}3)|&e7|p(355{MU;lG+wj>UJdnBHiGOtFA)aF&1{Y3OE%H%JbTG*Vle@rv`< z$@60>twLNX5#@!5&%~n;9!(4kRfAMRP3(5<>pP-fpIg^w$ese`L_Rh()sRH)eKtcg z_F;9bhZR}Y)C>@1e~(^fdtP-;hpGI0Y=E*os-K#)w75ftw2jeRmw+2jpF80$z$f3 z?b=U0^YP*@#y2_vLvYW2x;i(o!c{mu))S|>Ht zUieXb1)*T1b51H}JMT3D3y`?fP}Mk!L)0k^wmk3aW{>4CBQe@WkL3o_CsuyAes&ji zmcOGk9K@xge^I+;euu-?3w|BkVkencwR!%*j;$E1fLe69Zkh1yZI<1i_&05&?nhTE zQQRNT9?ct6$&G|W^CmS0s3 zQRTCxw&w(B7y^l9RbL-g^Q*D?G1;Ek&u1;kK zag9jSbF?25A~KWO^b0-PV5nWn%PyTOtf!!G->X0WQIdx5>i(L^!*%#1{b0kjS~>HQ^(a0${`oIDqQLarR#A;r>g7Cv=+cmLRAu!- zzj@kkU&ua+#N~&Ot0A>iUkLToFB6_WeyinnTU~8|SU4y*#bweIN)$*C{jxug%R^)N ztm@%3)=q6VP61gm74Z3y8)jo<(G zZKjm;ACz0O2&ZQjWmW@TCmY*Pzp3+z+0x;tlt+gHsvZ<56N_YNIlDzJGl^X5_^!)^ z&0K)HM@{e6NUL7gYqf8w{VF09F})j&o_g{9yhkgBbU5$=`7eLxbvHNN!F)dWOi$-* zbO6uQ7i9V}k>KmqF)S-H08X^S-)3iZ#WFc?P(m~cs&rWks>U7(6x{z^{1&`!?(UP_ zJ(iSA4u#;+_iRzVH;1CknwlGJa`b8g?K>*@RJZaTG!(n{>v++8)z^;1^vE5J!Yu{v zkvQkU-Zh1BZG-?~#RU3m;9-kLDD87L*#(wk_i!u|7l0#X+;A>JS)^C!JCu7uJ z;a0=<=<_@>c||cPZ9APZDc80s*D=X|0l3mKhjSVl@o5=y_Q&_5b zT<9I@=eRdjbnEF^j&H$w<0FhIhEn=|h5(1kn^GHFR^B{V5=)LYHn^<@k7G0s_K zK*NTYB&sKMQ;8AEb~9^J``a1Kg~K zvMKCmCe_JKEix1mrbVKOdbbGw zZZlYrEP4{V?T&8o`iDnNk-(WjLo3xBLhi9>v`xX$a?66Sk%X9h#I#Ll$ErB_xV}lNfP?g@TS-6wMA!OEqDzd$zW=kWWwjn$lI7d~)jQ^6LnW zW9ASJ1QqyATJDTgQR>r#TnBb_wuN#-pMpy?nME&&Z%EhAxKf9e%boo@H%*<{@`k|sF0i)7zeD4dOg?HU&rBA~u+%1Gbe zhqA7i=0eZLW_P$Z&6?={EYC_{dzkVHiF)1lKZqCt)%*FAU50XzIaxk$!kjy5tC^XF z1@-4V3`~zs3Aj=4pm^Mj+kuDY{Z(tLn3O(y#xnka+)~$;vBs){)Wx)%j-~jMfbl6@ z=lm<%8y`PABXU1IRn7i))elSLh$k$dL}Z8;#K+zES1pp9g@WU$g8I#S(=(~ZU2)_W zun!ZnbL2nk=*y|&;3;pja{3DmiN;lyZAia~K0<%Gz@GysXscbpz_G=`@;e(Jb`>^R z(Xv**q`0^bJHG!#6ArpmTn$z5><72=xEv`X-l*Q%;hgsYh&U6Ht!<-ZM4ej~QGRFj zi)W%1c_jNNrwfSEI-DOZM;Z144HDt2%w4+*L=hr>F6+GbMcb4MPu*o%O?q_{5fRbJ zfxqvD(6THhO3^g!AiB95+ickOlzAqv^jjs9&idBc+PY%`e+bkO@4*C6kP0`$jp=;W zv~Wv*LE#o#$CVq026+)#7*7zas;;hX=Za2&SZWt;D=UM0e8=V`^)ctOW^S*~{h_;u z^@|=0ur?3jxThX6OTtgf1gLRV7(JC3%S>m-b~dmO4<%jz$C-F|G+5nA z{}wmFb)=&~WfRv9%FXn7FmhK=cQ}jpzns=-(`)rn@qJu<8_Oo>wP+L8 z&}AsenxU%DjTrC)D{mqYOTTjQ)WiO$IyPUcBXC)=)yAmu*}kUDzQNBi#IUHuN=$1! z?Rn79IdI8-MZ=^`fWtw>x8*sXiyg#s!x<5@4=f%^VxDbSCc_j;7|d(cFk|cfp&>d7 z!gT7siQn(4WnZpDY)5JBKW4Khc`G&Be`j56#@&ixdxIpWF*!Xto#Abi`ARfCEgas` zOto_$X>+T4MRpo3pcftjK?patmO#qO7oy+{I_j4}dYQ;U_q18R;xSCAOz5>@a{1Bq zqFxGDqn4C}y=7XW{_Xtyd{cAK+)XkOdjoZT<`Hy{Nyf&2Im`zRRz*``FlQG-MUrV# z1r%4Vt}o{Z{vG7sU7J3zGgC#WP-OCHqzK9L(Qt^#JsKY7)eFs5Vt7ZR*c9XoR=>yX z?Dl7`ly%*RFKaBcsfQ0nQe$Jw`poo7y7^lA%-PQPDn!}RZI6!-e|6d9d;GTYDawnz z>#Ha)Zt!uuPRta|Rs_UE1m^EIBuYADi&x-|uoj^lufO3=PkjCMJs9zb*MKa%_$t69 zW4(OS)17`a;9#ig(UypeTm8DW@3gHf~v#jj}wE4_(35T^Kf4K$VhDypp^q_ zT$MI&qBis1?!+VlN8Hdsq8MgQO%+6I4N6kd{cd04;BM2ryu7u_Ca$TCEA)i3QuGp;PYm-Dnb%^_~f5o-GU`Saqh!Lc#b>%37GP4s8iYqMhgdNKrnQ*H%6 z_6-^>@L8y&?!>hl9=)<-XV#5-6>)Po=TzB5TO4JZ^gZ(4{h0OkiM$@&zk(DtXYu;0 z^NPa61e%WsA77$9?+esZbZag*w@_$12&N4j*GK)G8h4@Gtp$g+4P-*VCp7KgB&OGA z6?L!XGSw^IEUV!7yNrs8Zz@MV@2Zd=!aqM=guaMo#wHCV@L!qTU|d+rxOi<>vK`xz-L3LkwVa^~yo3|5|Mjuo=G zmXgH$SJ&v9OB6B(-0bN#f~%z12W53i7vu~jg5c`@K6?M$FxOAnROY*H)f^AO*!wcf zXH_lKkDLWU>npD$Ra4bYQGxQV3+=-2h~I+~&ONE2E-QimdKch}f@4P@6YJ=J2=w>$ zgn3Ih&cZf4Jlx=pO8zl3??<7!mOCiKk#wSb?#GJK@=|wuQ1}I(5@vKB9@g%c8V3#a zND?zwHrt%nmoQIVTO03;Mkavgo)sNny&zrm10Gr*&!5lPeES-ah2tc01L{%hQ zN__R55W?dqxKYZneOOgI_`HKpuW?!?)HQS>5J4&eDd^>OiOjv&(^!M8Teo#EaxM6E=`WOo;DJki{xDbd%qGN;wop6a` zH?r6})R`t9BMF{)T*jBbn--0bh>fHplPWDLotDu}KRS zy~o|Sf&Wy-c;#XnbLBavRaC{oPH6IqOKiQhi7MDb4jJqq@BoZndItC9WvbV`Qp@A7 z+!r5`!d|@0p86KYHz3;wOMU_2S3OI zXj{s+2`ExOr2(t|hf1)&it|ZQeFL7b?VTTX+m7CD9y##a85%tFEO@J|C4m_^%X$9$ ztHvq$UT2k_{$`ecd1^bB;3kDb?pKcM> z2@Y%0JhB=}6BYFp(i}p^7$Wde%Umq5eV)`kRu?5#9&G71W%$fZTNABHh38~65-`RH z&iH-#_wO0~lEJwK>N1%Oh6-l7CTDk%P(7oLv1tn{E32!(X%l}xpI?|TS*S^auTqDR zr~z>A$QWc|!u#@81tyF=TUOtT{qkG6cg7A1bSLOa+bDFoNHyo_f%t6E{r<4tW@YK1 z;Pyj_*Hz@2**QHbbSJfBMQ-~gh;6^7B-}KC-j8>E-#5l`_us($bvpkP7y`{=V!txW zNmm1CQ<m_Yz(%2lW@POywNn04cKvd|=XwQ-hYNsj2aj9#O!p$oU5Z z{<+HjN#EV`_7^h~ggdKz_s+NqZM3;jvj%>!O_neaT7ddCw}%>~UVUYL_vLrU)UMG5 zbL?M^JF(|&3lYDYIK+o0{5RVm?Zj4^E{#AI<62)|hjwNVDR;{to#G^~V0Bs$a$?EB zLn5)HCjwE$CSv}_Qx#z7#Eofycw~(JpejC|Az76)#CT+DkKU zVTzkkb84>Pi&!WG@{56lw(HH-*!UWn%^j4IXy?t>t-%UdM;Sd!F9|hz3R1MsjD)O6 z?Ml6-j*cg*S(3+OBC>&z1(qp4KWjzIj zV!*5EN50vpJ6uTT{xHAr@4B9v5f`wV4Rl#5k}fEi`j25=2=JZ4-7!LT?1eF;B%$t7 zkZ(T@B&CE9!Q^&#==@>vaNJIJf8ovmBbjmj!dQikAY$AKO+JV~(!d~DUGPscLB!UQ zS?`JN!_T*@G7(K{vwiu=<(25OP8PQIrXnqQ=r1VYAhZEB!6@<0sk0hbVIa7)U!36`NXAw&Od`JOt{gd!lz9p%)=`S7e-h2B1dBeXWDdj3*AD~EP z@is3nm#moh!<%l+(EGe1PM)fd9KIMO>@Lof80iF~^A@+DQB9+<>7?1A?Q$LEb#7q9 z8`|LiWJQ|ZmtUMGsbz|z<@3}jVzxDNgx13eteq(DXLN#`S2B)9Pgk!N9MCs?Er@r) z*aei`K}{jR#`d-haPZ`Fbeby7`#gC?yWjwf&vU<|H1X&ilZsYJp(z!7=t%#Nxd-$9 z@21I4?y}#;D-(9u;8#GPZ2Hu1o=q5VLNZZP^XnHGCLK<{?pBGM+(DSNKL9JQ6XT*g z^U6)`Ra6;HM*W3IOqMgh5(O+o;TJa_ZY7z_wWfEY1joq;EiW9veG&i0OelUlbvg-z zilxh2$4JS)+4Q7tN0#OcVqb8v@~vw16XfxK_Dq+Rl^rcAFyVnewDh%l5wBu50tjeP zWO2F;fW{!-CJWB%+a7{sQ&>B-u09_(U`!t#?amcywl?`Tn`{THo!_3Gp3ZJmsubqKvn<1i!PM6eM?c4iA94CFTKDMLGks{` zz^3pyz)p@)=?yB;Y4hHXN(@-KF5}nlv!9JWx4hXP0OY=lQ8KTzEYwx*!*u$Gk-EE} zmG?{GCK&>r&N=FW0s=cRw_{)_!3+i8q^2y#|NQ_Eo8BQ`H)$SUb0=Z#yKQ^NC`hYh z62V=f4%V&Qdd$-(joe(~LwzdW*B~mkccbMqe`1^Nv=(61{D?Ge*ZoAkbFL*CRd6{l z_33C^k;KF&f!$ludRa!N>u(Qa@s$6z!mwpLhu(jjY=+VM6CljT z@wLgkV~%o$(jF?6TNiEbCQoxNXhCj>I6p(QoRO>7?pB3p3%2o075}zNUVEw>Em$da-}_bd}_v z=5Z}4auwPSb#=k7sOT{}$aYLG@@sUM?Y()Oo%2w=WY3|&oN3UKGFQhA&aVam4oqQJ zPEZd5?9{L>di3-XdqvZO;p6yM@2?(cBQRmk4TdsopU-RZMDTuuVvgbRbt1(krUC#i zUVWqEA;Qbc%W`<_r0l%!L(aIazFs^% zsa~zJch=vlWt z|2V|AoZbR!{+&bcD(R@<@y~T_1-FM&aO^anED1G8t%gl?L+L6@{eOpUrXMDcDc&F@ z@N4QG@+q?l%T)a=-(tX&aaU0R^8sbzs0vhgEawQHLXZwfVfRp z+J&Bh!P4FJv>C23V~N9Fpw1>gEgED6tqyWp~1B#j(6-i_eRObfjjD4q|W%p z5Z^DDJjD(8fBuKtrwMgL5=19^2cxAH)^+0;m9V`u@ozHdj87BQa>MX@mtB7yJ}Q{l zc|4X4Nh|0&m4ES#g6HRIwHX{x(9Ags8z485s8MFd{E}z9h>Zj9SHBxE2}!YMnRUh8rU5#=xc`kG2m6iYpZvCmTio^fnDB7x#o7+ara&y37DdBg zk{D@Ak>+46+4`ihFJ z9PAGN$JFM-8>o%WH2heT>3#H{zQ@NuSGRJ+)IS`042Dv=r<5Dser9Jz zqV_wBS(#}aXz&mD!6T3xg5P_!@1a_(dIgDA>ydx8x649Lj8$p*XBTh`Tc0b1#coLS5I-eJEd9L-!jYzwL zqQb$|c3-|Lp8CtGgH^myi-y$8`Dx1-_l#}|9kTeTcO!XtwevkiEP(@9owgdMIR(-r z>fnp_LSiD8N{Ia&i@&ZAvH{^vYG?XXvI zb;RCI)jWcnFPovU&bJgA{0Q^pr$YrwqCT;SEwOkL2bao8>@Pjx=Q@b&`buqe%}Dy>B_d z9gtB$Xgrp*QSIe_NLyRS8|5Wq2^L0=*i^*ceyTx?7!rU*t)Cl0g@u&JVPdSW?tF0) zmlGOuP_km6ul_YYo)!yfr{EBbiqTL?#TJvJ&smWWVmbHRgHhmpi>&wAEa`0BlQx(N z?zJu!8>wmilAA##RITAx?66yT$@k=4E05`gg?n`iX|tRhggm=;v5$VIN9puui;S>B zIt;NExf|T3z~l9}mThG}b+KY4Czt3aPCe=it+Zz>*Jvy%{9){VrOek`;r`-#$b}ql zvLdLz8G;h+<5X&N*+K?U6%^!U0A$b2&7I#%aT{PFz!d*Xh^JLd8hz^@h(xVtF*XOwifQeQXwWE6%yKW$|6;)Evh>yO1ho#}4TFF<1wM(>$G`~n?fBy~~UX}6I ze5uvd)t(|5+9l{m7r(Tp=yz{t???CYWzlWlcv9U5dKr{2%yKiaj-NU$ zkCpP!SYFxQw{;dU z%97^s_DhZ;#99u^_@CLqe{R=wl+O+Y71h>FJ3a|usr+S5miRo@xcIbT!0vKw!8zDZ z9n9Au$ArN8wY#CZ%4l|Bn4RoHo?d6EMlv(I@RFdn2+^&+NF^sdczGigtPsJm`S&l5 zE2#c}AQUJ}sRCkPzJ=p!lGc6%hs)jF&Bv_x`GY2Z|4F*=@-;D`gv#m_VKiHDfdWcD~mtOKk1+mr6**hEz`+}bsdJ78N7tSmn=s^8YscR~7C!}mxsmD)Gu*3 zMdm3n?WskO&25wZ@p|{~*}#^w%+*D$e%Xc)b59FZacog1w%N8FC_z}@u9_ueBt(w%z zCBICojdwVW4|3nIH!OB}94-?|7O0&TnlMtwMO->h4Or`Z`17Awu%zd^-+jKON#HfL z5}oPCnl;piC{M{n5;ePn_R6|w-tG0}*{6Ud`zimoA`~il>Yneas4Doo40XE{4{uYf zRu^v1B&(kGSxguv7Z!xI=(;ulNPp1b9$eA23j&hiKOY5r5Bx!cuJjtT`z+*Q*)S_$ zzk-MDFyCZwOAJ@8*J=GpF8sM+c6*6zCsluwQaq-Yv~ltkPC?5n*trqskH<+56sPdJ z;wtg|n=#rtW}*yUPR+BkvpF&`(U;|^{&E!ngLxownCD5;#08t>1|`}1V1#Zs)MrKb ztKVRX7E8v6l{`K9;jC=Y%E`%rW6?t;a&HI4#2Ren0h~tDTPSc-EP0^m__}?PV*O^3 zJNPjZ>6KbXY(-A7@DFWgN4h{Q<4axhetK%dR?7wc%mSR{n^aWcGaOA}~5qk&OgzMk( zBLtjS)okP&n3xENEW!;JN@wbJz~MNJ|gD8mr%$;=j;NEsKLR|8S( zP>=^qcOUnpTK^4Ws2Gqb^elyn-)PDZPLEscH5UcI{!sv*X{G-*4konoB?}7+hkHFv zj1&#BeKbt?`&8Cd1Sb;Oa5H~O%-=O*sIsV7pWY%PU$JK6<*64<+bp?6czrY3)q$4% z9KeIY#QaeAGxBZl2On@qzA2cru!zb`Z1%pkpZyT23CxsG@lgT@4GuK!ee~#zuSJ1V zLqm$es(_ahqZzz#p!5Lk0*bo5ltDFUX4P}t+rx(k2f36({r#SrX=0q50VV?*y?`!?is`irpB{yV{RtC|gjf?Z`1a%otYj#gnQeT6 zi>7e`7B)kiDHy^+(&(2g)5==!0+@o?*(ST=gZSf+06QWfDG4`@|E?;aa~;?;`R*am zot5V&elZG^?oAjIpy~iOKwu#xpbf^_NmXO}Bwtp2(iI;l1H}cB`YE5L;i)fTcf=fP zf;oV33b5cB5uf}x+1c5FG+|?7Ly;dkPWE%QBGNNWDMG@ z$c_)TjZ{@l>`xS+)GXnf#|*Izy1MKg-XEZX^48K4;RRMHOP3lYA)!unbyMeTMrtbQ zVmM5It=N%^ODl4(vp^gxTh|@M&$&g8(|n+wPK)_eIiH??)$A41)rf$ZqW{Htd8M%Z zQZ~x>(`!gJj>pcS-EXdFf|EemM1sKOx2p{2&Y8xGV`H3&Jt7(>XcR;ouFT6!d2M-1 zW9`6e7xOBrcN)F-LC7FLVuw8XqqFlx!SiMuqa@Z6>5n{dg00}NdkNz znCt87%yq4JQ;kx>IN>k&mr#10bpr^cxeb8>Al1|=@pGH3>g-q@^=+n+J(CB z0;6YDfyqg)CQLqv2DvABVCgsrf_Y69jsko#|Lp0^D1`cUL7)_!o|ATU8DGKA%Lj5B z5C}qt)k_x|0c3XR+|Bm07kJWbyzz|B(>eEp`{$rwGttWemAt1g6`m@;kfABahz(d| zpc#mkIX9#o7?m40@L)9T*d}&gl9lXjx=0`uWt9E!nvY5n!iE9{RlU+`5fxVAlX+#S zt})RfAYt%u@JUTGvX|~@gh$jynts^8PxCC6hTslri|h18M}7Qdpee^65P&67KpE|* zq!J3+kg%+>2W^~ijnxC2ns|jB;QU^)4gWCaKUpV7UQlNDotxxPEpT_5Emh+HI;Z=? z%*^pk164@UHwcWSU&xNHp`jrNb4Nxv$iGs52c*M6`LjV5U^GhgeO)IQIxlF*@S^!* zkd*m9>m(@GTx32sSE~PK+O!*w@0(G>M!5l{ENH9XHG0uuIb=%i_-zx$2nG~0q^4%s zta01hLmg%tdCIpX{C0Db)fd3S(A|{&pUpJDs%HY!vcTA2w2$&{N|&ZgnV5kV)e^KZ@P-~(2S(k4 z#p>(pV?=;6U~I}%Rl7KW{;a(h{=3&bI1JK1WeYX!z;6Q|0?74b!id5iuQw&m_;GQM zF^&{zFaetUpTXoMR7tI_Z;Sj;gGk1F>(id1-0sKl37RE>0x$ zEWQVJEKTj=>FGR}9l_6%m0GTdJ$sc_q(5y*Vr<8pg0c9yj4OSzSb0Q$T^%h}kRw7M zLG7Ps1whHa)6Y^hEO;Rz4Rf!HixloPUa0-xwh>BQ{sDW|vKRe>} z-qqoJ5F%<4M@&o%<8jJ8E6+9|%b&xG&U#|tq7Ps+)Kt~nwLCTka=wSJYZVis!{e>1 zeJd@Fz=zV25oJ|E2$BdD+eVPloyUi#Y?Zp({H8`gUdQWh!q3fB*sqAazxr^^F=ASo zVfgc{iSJ{|bjd9)H+G+mPAy9@4KEq;sVWmMv7$St3^+F5^6|0Ni}5u6?msXoycz5sMR zj#;-&eH?nFnjId0GLQEa@MNtBdN=}EVaZ+wiCDN5sy%e*d^p zdu2aBxAetR;whZ`0P;(tn(y6G=S^N^wSkaI*1SGm)owNj$gF@E^r{@T;SI|TcNYQm zBq^Gd_rHzaRlw3X-99k7?wbf&;G4#?CZ<4J|6^Six z^~0ks7nacejc6SG{Udxemj!4kDfyT-nEsr_J>Z3Qo-RaYlS~XT=jOtnP*SlS0bf;(x5=-K=!KKPz+!x^D4z$e4uMJS29&BJVNC+N17M=}UEhZrtz!TR`LgVNrq`AGW|&LH z@2Q33jjo4a0KB;Uif~98LQsIr1uGlz-sgO{K8IpkC9Q#uBc`bNr*5f|{MJD)WiLl% z)6Kd&*X7mZ1}xvNr$2zBa<6LfgmNsa=XsoJaaYEcL6j;kCjcxQ8^h}AhjiHhH={&4 z5*F2K{l#wJ?iZ>_zZKi33!Reb%H#uB^Ad zzP`P3^a;XK>m_K5F*757K59{Lqt=!N-5a~}-1!W3S$Ab|^(Tl9ltOvMqCbj7UsvF9 z5(w0!h`cypFV{=hDjb`fnMo3KV4r1|_{7dO)+s;&v35c|!y^Op<950CdO4-rw2aAx zH5!=C3-WqokBNiFxE&r@a-1_?OBvpQBLMC0eAqWJugzOgH!4al@oIHOKd5+~XlFr7~4}PJ8I^Y6RXm_Bv6biiDT5UyC)5{152owoJg^&s{ z$PF>z@6`CoXh#PX&d!Lgiy{ZXu99nNEx3ZQuIu|^##4p==KXkeNuTb5h@a(pL!k|3 zu1L*yM#GEV7B=8NdIkoioD9oabT^Yb0Hncwe{7)~k@vK!d{PXJFW-FTPTHi{WllNw z7fjpHSJO*oPMaSagM{BfRvBOG_sD2%d+4vxKRoUdA33l#PB z^=0{@?Hup9%R|9t*qB{V(3{i`w-%;cKx^i>!GqCo+S@U;pu+c!2#w?F8!-MI7gf~j zvLaF2MKq82fI^|P?kifdI0Hj}>>BH%Qz}wqNaHBC@6{K-!M3#M6}MhH4L@o;MZzUU zpVi6&ZuV4h+v(O&tUW>hwaM~j)E(qs*%$q2a?WPKXq?3QF*$!}dHkgQ2!O6mw2k8H!SeoLSApYpQ|_A>9RqsFU; z!V!azRk58AY1^Y<)Rr z{CrA$PUs69P`ijl85nba$l)L&Hh!KdQ@^sqt6!hdiK_O_AiSb+H4JO@k!&u;gQ2J2n$m~MnK~xB84&Z zKY8S-f{@QY|5{lGDMEXT^1$!8j#PU2XVb6yH91D3Ecca;u_(3*joY0odD(ZoB)d<0 zkhit^(>Aq=44^+0xKnuEkFc_{w>obP6f)M=)d9=61|3e(^xkV_oD=@HwGFVx0@T6l z8ymOORBXx#361WIXX~JM1%L|BL_wI@6|wDXI+u&dK)yRA^FGm%CK&h~35BC5@bg`i z{4;Zyr*w}f8S_VtC9=PmnVRw)dtZVDH}vmP0uj*s{Lmbc|FE~<&?=4Od%iU7xus(C zJnH&zRM_+z?_#*Hf091`d}>C=P@2#GS((q_3nDiGX>X%&ocpfG)_U+}Du;(l63VDV z!DPR=AM(26Z*%UK3Gz{IHg*xC-k3>9d{QscEYkdx%nS|7Ci5Ti#(fs%bieo}aCLo3 zMP}<2Skn-g3-dX!{6}hmQ*pLl%AUkHp|wpDr(VE5Z|19=?_U!E8O`lh@J9hO^Wvbn zEs)nAia(df^nAfp-dm3@$1;l;wv6!#6dvE_v-|O1=g>)cz>R_~hXi?x zb_UEFH~?sa{ct__E9dRbbWn#)1b*A?Vt0x;|M}4gm-W`?GCip}x{LVP%^+Od1^y$* zHD{s={euxpnRmNya!e`1vPtv+A{fH|5jwQc5(QBy9OtYNy{+Vncz+) z?;s~70Z3P*hah>afZGyBe5+xz}B<)arLA1eL9RzR{h4z8EF6My_4N4p#k;=3gMC z_Dzw2wyb6LL!ENLxrIht=USmAGZ+t;D8soAb;&&MwY9Wf;^oxH!$OH?u~2n*kNLmx zYXYB+{oz=15lj8DoA>YyAFBEp|Hy@dK@4zw?KJ@TGq`~d5 zNh8_3hZ-a3-2cz*<(n*sw3>R+x1BGlOfE|yAunFXEQEsZ1K4$GdU$x3Q`gX-%MdT| z^63ONw;P{sGn|_{w(L;&G4Yf%5%gaCYv$x+ku=o)YNGx1dB1=>t7XO4`|={{k!8i& zek#rO<3Y_B>3GZl%k*w@1q0+sp|19+3R@j~VY`+CM7Jtn6vmC3SMT!QfQucnn z?nA_n$=G;CUVAT`kgADZkorDBBVK1VUGLAAbIyyR5|6oZX5icy9 z2BZ>I2xmJ#2LYpPZestJ+iIUhf@afdd*j=o)qp5NpG9-I^--+%+=<1z48#gml{JRV zZbtt3w7y<7yqpa8&S+OqK!cl?$vgoZpvl}V|JjHG^jl@AN~tVA5qI`_VA(uoEW!NS z5Z9Ek7NTK9XwkV?DyV3{v^OA6mO2BR-1z73jdm`$qmH1AwWd#{5!>X#!6k{}g7zW) zP4ToJ<$jPZk4cV;9FFf|)A5|%`(0&vqXfm=awkW21>G9xaFSuj6ii~fPFe9XCm>>K z#YqT|*!+`+>FHx#(5p%jBm5%r?%(t>>wQM_yaAM`2xuLqFmn~OJrQ82t<4JuDFw!) zw$^GCr!#wROAebqiyjQEDXk@D2#*1v~9-?b-tl(N(9!!zn5 z{QVO!1KObB1 z2+=>md*iif=7C#tRvB9u54HQ~09Laek~5tPz*Q}eJ+^a`44^UC@m)vSs~Yg4&o5SG z{eL=4;bik-8p8kS=FGpL?&CHtEkvP0D*KFmrw}6hPIg8^S#L|$VGt%olovdgrL&ug=+V#oR=+aT-jTwHc zp^nF%ce=NNQcW^O?5{Q{LSog7irgN55PTTsRwwoC9;uY=Z~DeKms`@;#LmS5SPJY} zijv=Y<}$ViYyWD@17h|zBLm~PP`tXL>hS>1q_MJ zI1dTn?g2#uXoo&X#X=!|>GtqY18RPKUUQ&E7a9W-88 zmAfEZaW~6g%yPWKkzYdrj^I_F(}f2gtCX0EA(|;4o)Dlp{_p<#I-1AG1|4- z(efzYXxFB4g^kc+-)%eQmkjCd(_PPt45JHA|0Ox!@sh$0u`TW1yfw?2#?0p=t5!a~ zeh?PmXTMrw9Ma7S)HzM9JyIZ6**ipb*Io?I=7T@@$v8wr2;6vH;37h;xWtYihVSdJ z=y?7@`L~Y_KMR<^V|ISL1LC#@C-q0UY?VBH?nv?S%nSus%bigwcXB%{$gO^P8&+9U zL*iyySXlUlx)Z@Mh?fMdB6e8P*rSCx;J(jcYGhZJ;ErcuXG$%L@Dvr#gQKg_-3s-* zjl&^ORhchR?|K&8=x@Av{IJN-L0ozm-2<2iuro?uF$~4!7O0Q8h7X@#;g+LHq%lmc*?5mSf)@F|Ug%ueq!Y?%-yT%}px1R!ZLn?3IU}-QeNze` z0UQ&#cgD&)o1U;Lm%mlN{lFG*1lq`SBdxvMWxo*lEH+?JAii8>L@TdokbHgSK2tU( zR~#9v4DMbMl_5nCr(B4Ah>(YyO*UdSgQq$`uLJ_#yxsVkA)d{P`2libWn<4$nvk0^ zaz;aWi5j_HrLAYz4c&>_JAKik8w2p1D(fs59}`kSj^oI;vD<2gzp5Q06Fy?kV2}z< zuL^YM#QU7$mm(1PNNxGs=i0Bi2jM{FS{ua)Rn_Ou0XQXr?VfR6>dv}b$| zY3-%9d(2sg zz24e`0O66fspUts3KVj$dWBZBUP)NxG-xi4z4vtO@OXZGW3yTLj`LTnCGe#^zj z8rkJH29;gn|JUIzy3_r)G1SyQQ`&xjDQ4-&WJe_PNUMD3flnoD%c;wGm&FXwciPq4s?GU6j{N8(((!FXSv&{tex|amV;4%XE z_{Ww?_A#O}*IMsbWS%qop+h*DOwrX8v1)8%Vf#$LS9#D>vrszXG~_{0J^j1*i=rV^ z`%WNnqtxG{>8E1eA5Z*tSZxR#}N{x>Jz7s$RN7?lZ^Ie^|6_Ns<*jH2L928%QOjN4hpD4sS0le&t!@ z^X$z|YmX=One9KMECA(2RPUF}jkA-tQ$E9~&W2yFKn2_2zv7pxPJrf+YC_;SJmY!i zkfqDzX`Iw+Q^I4y^4pzJ&+d-`%y%1luEHcX}v*D&NewEx@4_g3})ZAtQt3S$Upme8&A4;Qnd<>^+_T0uv*e-eoAJWajId+ zhVb5ut|RxNt3N~1ouEC5xnFFK)4Et=sF}v%uzPuqU5}JQ442yD8+fs@|Bl!?< zJVnP?-H2v;e8p~?(PLf+IOH7z$W{cyNyx-)Ju!MckkS+-5+V+G^GJ6 z(|XTpM)oIwk8G2r3EoJ@=T9Iv=JvOR{_=v1e~!p0E8h<=z;?%zRYmlSmM zBansdK6=V$J|1xmCydBt@MOV~@(-RbIE0*r@KD9rPYqLO&`uEFFLVMD9in;#Q-8oG~x?4^Jc% zq5%wxYW&fuJ&}Ag?M3x|tagLQFf=~*5k2m;$&iSvMCkm{+tvWp&kK<+YCdng{1h7M zFp5JvVQN42+5qdo2)l8N#Y*@pz>!NKFa^r;{ zIn0I0q3Sh$xceayxP|lcHD~xDAOla%>SXyysNB5gtu?y&(d5ksa9X^+tkVb}uIm{a z1He~a1`O+YLpZr~n}^RNq=xTamA{s!uV&$Ez->@ENW=A+)rKs&*Dx=G)gGb|E#GYK z8l7?T90)~o8opr4%p^>yQhO~u$BH}4q+qW_er=x>7HWjJ=Q zfY|;c@`fq1G?um$rlg#cleJ3?z8$WgMncmzi9FwMO=f*b^1%ZNUxOluzAP`Tt&Poz zfAi-ef!Ssdc2pj|J}p2e5ux#o3$5}&BJ#CYWt2!GPnteAyvm-25ooMFWgHzgl6P$y zjCso5ek4Th?(VWIino2TDhP6P@}iawLzA_V6LX>m?5hxO6*;Me@8&8U4*5>lCGpOLd2`P^1=sN()m}d&7SySw`Uj-e z#z%BvlB3h=I4@G6Q<^!S*%CRKSP<(*lXT{16BzO48$Tw8)WKt5nPIS{%aAUhSXW=!s8Y4(ep*uFn#cf}>H%FmfL45v z0)hSU;CF=KA{%avb$qBo#v~3IUDXJ>1#^bL?k7|CECpdbl5e0hhgBv$1Gy?Ms;}v6 z;Muf>tvi00Pu1{1Tt1!plyclr76LLmE~!)_Pwsf;9*T1TBbtD1#v* zjmQJ^H=sDYznGq4IIY%cze0~%S5fp+ug>}#D;o8TStsuUgtlWszoYs>_MEu%h@8MQ zoJ#bmInvmeTOd}LQFr8Kmc#4ZHVX)r_9MPFTwd)Tf316myNMZ`uDm^UCDRSa&FWn% z|Fb{whqa^W-sc(K=d28VZ&S{wj`t@ak_ij0tsOSr-)|JE%&<;MX(TdjD}%xxDaKnj zW?SR4i=}*zT*68$o;o?KdcgRX8)i!gehBw(9>R$lJ4tadx|>=Y*^e=2`@7NRrr-@j za&I^EN{Ly+&dSJY{M^A`b4S#PiQ00fv$8jJ3&|Yjf?*Mt{t~S01$IfJ0quhXWwkus z9{(nDgArBKKmM*iHa0d;slza=;@W4d@bv2J>9$eL=EN-&p+ek?u-CJaOxU-UQbSQ? z#v%6N_$p+~8K-f`so0po=FBt-M!rqDpTBu}b}%ThH0tlceHW`S<1I{0l3qI09DH1T z@i^_AArZ3^|ET=@9Rqf68|m!5wXq5kO2)PIbpwNu%|kRgdMZWHYt^mls~s(qsGrw- z?0)H@-SWOq=%$XiYR=Hp9&dst?ioD=$%p2_#O-dY!FA8w;&4TsdbS${FR0sB4pN+J z#-qET&cP}1Vc9X@4gsm$FeMxg2aNd~!m8$w21PFuw<+9+eB3Kr?;EpF6RFLEPX8Jq197=Q?XafdTj_ z=Pk&`qAtz{)iJ?((cM|atJvarx2Ra_r;KPLqq%m6CNLuDWgapH_ z8?Ccj=AEq01FQR*vXp{g@GbdUo!6kq`=wLQid2LM2f_ zm3ZV+^S_=~Y}0q79Q><2;9{EYck`_ algorithms, obtaining the ground state of a chemical system requires +a good initial state. For instance, in the case of VQE, a good initial state directly translates into fewer +optimization steps. In QPE, the probability of measuring the ground-state energy is directly +proportional to the overlap squared of the initial and ground states. Even beyond quantum chemistry, +good initial guesses are important for algorithms like quantum approximate optimization (QAOA) +and Grover search. + +Much like searching for a needle in a haystack, there are a lot of things you might try +to prepare a good guess for the ground state in the high-dimensional Hilbert space. In this +tutorial, we show how to use traditional computational chemistry techniques to +get a good initial state. Such an initial state will not be exactly +the ground state, but it will certainly be better than the standard guess of a computational +basis state :math:`\ket{0}^{\otimes N}` or the Hartree-Fock state. + +.. figure:: ../demonstrations/initial_state_preparation/qchem_input_states.png + :align: center + :width: 65% + :target: javascript:void(0) + +Importing initial states +------------------------ +We can import initial states obtained from several post-Hartree-Fock quantum chemistry methods +to PennyLane. These methods are incredibly diverse in terms of their outputs, not always returning +an object that is easy to turn into a PennyLane state vector. + +We have already done this hard conversion work: all that you need to do is run these methods and +pass their outputs to PennyLane's :func:`~.pennylane.qchem.import_state` function. The currently +supported methods are configuration interaction with singles and doubles (CISD), coupled cluster +(CCSD), density-matrix renormalization group (DMRG) and semistochastic heat-bath configuration +interaction (SHCI). + +We now show how this works on the linear :math:`\text{H}_3^+` molecule as an example. + + +CISD states +~~~~~~~~~~~ +The first line of attack for initial state preparation is often a CISD calculation, performed with the `PySCF `_ +library. CISD is unsophisticated, but it is fast. It will not be of much help for strongly correlated molecules, +but it is better than Hartree-Fock. Here is the code example using the restricted Hartree-Fock +orbitals (:func:`~.pennylane.qchem.import_state` works for unrestricted orbitals, too). +""" + +from pyscf import gto, scf, ci +from pennylane.qchem import import_state +from pennylane import numpy as np + +R = 1.2 +# create the H3+ molecule +mol = gto.M(atom=[["H", (0, 0, 0)], + ["H", (0, 0, R)], + ["H", (0, 0, 2 * R)]], charge=1) +# perfrom restricted Hartree-Fock and then CISD +myhf = scf.RHF(mol).run() +myci = ci.CISD(myhf).run() +wf_cisd = import_state(myci, tol=1e-1) +print(f"CISD-based state vector: \n{np.round(wf_cisd.real, 4)}") + +############################################################################## +# The final object, PennyLane's state vector ``wf_cisd``, is ready to be used as an +# initial state in a quantum circuit in PennyLane--we will showcase this below for VQE. +# +# Conversion for CISD to a state vector is straightforward: simply assign the PySCF-stored +# CI coefficients to appropriate entries in the state vector based on the determinant they correspond to. +# The second attribute passed to ``import_state()``, ``tol``, specifies the cutoff beyond +# which contributions to the wavefunctions are neglected. Internally, wavefunctions are +# stored in their Slater determinant representation. If their prefactor coefficient +# is below ``tol``, those determinants are dropped from the expression. + +############################################################################## +# CCSD states +# ~~~~~~~~~~~ +# The function :func:`~.pennylane.qchem.import_state` is general and works similarly for CCSD. It can +# automatically detect the input type and apply the appropriate conversion protocol. + +from pyscf import cc + +mycc = cc.CCSD(myhf).run() +wf_ccsd = import_state(mycc, tol=1e-1) +print(f"CCSD-based state vector: \n{np.round(wf_ccsd.real, 4)}") + +############################################################################## +# For CCSD conversion, at present the exponential form is expanded and terms are collected **to +# second order** to obtain the CI coefficients. +# +# DMRG states +# ~~~~~~~~~~~ +# For more complex or more correlated molecules, initial states from DMRG or +# SHCI will be better options. DMRG calculations involve using the library `Block2 `_, +# which can be installed with ``pip``: +# +# .. code-block:: bash +# +# pip install block2 +# +# The DMRG calculation is run on top of the molecular orbitals obtained by Hartree-Fock, +# stored in the ``myhf`` object, which we can reuse from before. +# +# .. code-block:: python +# +# from pyscf import mcscf +# from pyblock2.driver.core import DMRGDriver, SymmetryTypes +# from pyblock2._pyscf.ao2mo import integrals as itg +# +# # obtain molecular integrals and other parameters for DMRG +# mc = mcscf.CASCI(myhf, mol.nao, mol.nelectron) +# ncas, n_elec, spin, ecore, h1e, g2e, orb_sym = \ +# itg.get_rhf_integrals(myhf, mc.ncore, mc.ncas, g2e_symm=8) +# +# # initialize the DMRG solver, Hamiltonian (as matrix-product operator, MPO) and +# # state (as matrix-product state, MPS) +# driver = DMRGDriver(scratch="./dmrg_temp", symm_type=SymmetryTypes.SZ) +# driver.initialize_system(n_sites=ncas, n_elec=n_elec, spin=spin, orb_sym=orb_sym) +# mpo = driver.get_qc_mpo(h1e=h1e, g2e=g2e, ecore=ecore, iprint=0) +# ket = driver.get_random_mps(tag="GS") +# +# # execute DMRG by modifying the ket state in-place to minimize the energy +# driver.dmrg(mpo, ket, n_sweeps=30,bond_dims=[100,200],\ +# noises=[1e-3,1e-5],thrds=[1e-6,1e-7],tol=1e-6) +# +# # post-process the MPS to get an initial state +# dets, coeffs = driver.get_csf_coefficients(ket, iprint=0) +# dets = dets.tolist() +# wf_dmrg = import_state((dets, coeffs), tol=1e-1) +# print(f"DMRG-based state vector: \n {np.round(wf_dmrg, 4)}") +# +# .. code-block:: bash +# +# DMRG-based state vector +# [ 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. -0.2243 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0.9745 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. ] + +############################################################################## +# The crucial part is calling ``get_csf_coefficients()`` on the solution stored in +# MPS form in the ``ket``. This triggers an internal reconstruction calculation that +# converts the MPS to the sum of Slater determinants form, returning the output +# as a tuple ``(array([int]), array(float]))``. The first element expresses a given Slater +# determinant using Fock occupation vectors of length equal to the number of spatial +# orbitals. In Block2 notation, the entries can be ``0`` (orbital unoccupied), ``1`` (orbital occupied with spin-up +# electron), ``2`` (occupied with spin-down), and ``3`` (doubly occupied). The first +# element, ``array([int])``, must be converted to ``list`` +# for :func:`~.pennylane.qchem.import_state` to accept it. +# The second element stores the CI coefficients. +# +# In principle, this functionality can be used to generate any initial state, provided +# the user specifies a list of Slater determinants and their coefficients in this form. +# Let's take this opportunity to create the Hartree-Fock initial state, to compare the +# other states against it later on. + +from pennylane import numpy as np + +hf_primer = ([[3, 0, 0]], np.array([1.0])) +wf_hf = import_state(hf_primer) + +############################################################################## +# SHCI states +# ~~~~~~~~~~~ +# +# The SHCI calculations utilize the library `Dice `_, and can be run +# using PySCF through the interface module `SHCI-SCF `_. +# For Dice, the execution process is similar to that of DMRG: +# +# .. code-block:: python +# +# from pyscf.shciscf import shci +# +# # prepare PySCF CASCI object, whose solver will be the SHCI method +# ncas, nelecas_a, nelecas_b = mol.nao, mol.nelectron // 2, mol.nelectron // 2 +# myshci = mcscf.CASCI(myhf, ncas, (nelecas_a, nelecas_b)) +# +# # set up essentials for the SHCI solver +# output_file = f"shci_output.out" +# myshci.fcisolver = shci.SHCI(myhf.mol) +# myshci.fcisolver.outputFile = output_file +# +# # execute SHCI through the PySCF interface +# e_tot, e_ci, ss, mo_coeff, mo_energies = myshci.kernel(verbose=5) +# +# # post-process the shci_output.out to extract the wave function +# # results and create the tuple of dets (list([str])) and coeffs (array([float])) +# # shci_data = (dets, coeffs) +# wf_shci = import_state(shci_data, tol=1e-1) +# print(f"SHCI-based state vector\n{wf_shci}") +# +# .. code-block:: bash +# +# SHCI-based state vector +# [ 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0.2243 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. 0. 0. -0.9745 0. 0. 0. 0. 0. +# 0. 0. 0. 0. 0. 0. 0. 0. 0. +# 0. ] + +############################################################################## +# The Dice output file prints determinants using symbols ``0`` (unoccupied orbital), +# ``a`` and ``b`` (orbital occupied with spin-up and spin-down electron, respectively), +# and ``2`` (doubly occupied orbital). These determinant outputs, and corresponding +# coefficients, should be extracted and arranged as ``(list([str]), array(float]))``, +# where each string combines all the determinant symbols ``0, a, b, 2`` for a single +# determinant with no spaces. For example, for the HF state we created in the DMRG section, +# the SHCI output should read ``([["200"]], np.array([1.]))`` + +############################################################################## +# Application: speed up VQE +# ------------------------- +# Let us now demonstrate how the choice of a better initial state shortens the runtime +# of VQE for obtaining the ground-state energy of a molecule. As a first step, create our +# linear :math:`\text{H}_3^+` molecule, a device, and a simple VQE circuit with single and double excitations: + +import pennylane as qml +from pennylane import qchem + +# generate the molecular Hamiltonian for H3+ +symbols = ["H", "H", "H"] +geometry = np.array([[0, 0, 0], [0, 0, R/0.529], [0, 0, 2*R/0.529]]) + +H2mol, qubits = qchem.molecular_hamiltonian(symbols, geometry, charge=1) +wires = list(range(qubits)) +dev = qml.device("default.qubit", wires=qubits) + +# create all possible excitations in H3+ +singles, doubles = qchem.excitations(2, qubits) +excitations = singles + doubles + +############################################################################## +# Now let's run VQE with the Hartree-Fock initial state. We first build the VQE circuit: + + +@qml.qnode(dev) +def circuit_VQE(theta, initial_state): + qml.StatePrep(initial_state, wires=wires) + for i, excitation in enumerate(excitations): + if len(excitation) == 4: + qml.DoubleExcitation(theta[i], wires=excitation) + else: + qml.SingleExcitation(theta[i], wires=excitation) + return qml.expval(H2mol) + +############################################################################## +# Next, we create the VQE optimizer, initialize the variational parameters and run the VQE optimization. + +opt = qml.GradientDescentOptimizer(stepsize=0.4) +theta = np.array(np.zeros(len(excitations)), requires_grad=True) +delta_E, iteration = 10, 0 +results_hf = [] + +# run the VQE optimization loop until convergence threshold is reached +while abs(delta_E) > 1e-5: + theta, prev_energy = opt.step_and_cost(circuit_VQE, theta, initial_state=wf_hf) + new_energy = circuit_VQE(theta, initial_state=wf_hf) + delta_E = new_energy - prev_energy + results_hf.append(new_energy) + if len(results_hf) % 5 == 0: + print(f"Step = {len(results_hf)}, Energy = {new_energy:.6f} Ha") +print(f"Starting with HF state took {len(results_hf)} iterations until convergence.") + +############################################################################## +# And compare with how things go when you run it with the CISD initial state: + +theta = np.array(np.zeros(len(excitations)), requires_grad=True) +delta_E, iteration = 10, 0 +results_cisd = [] + +while abs(delta_E) > 1e-5: + theta, prev_energy = opt.step_and_cost(circuit_VQE, theta, initial_state=wf_cisd) + new_energy = circuit_VQE(theta, initial_state=wf_cisd) + delta_E = new_energy - prev_energy + results_cisd.append(new_energy) + if len(results_cisd) % 5 == 0: + print(f"Step = {len(results_cisd)}, Energy = {new_energy:.6f} Ha") +print(f"Starting with CISD state took {len(results_cisd)} iterations until convergence.") + +############################################################################## +# Let's visualize the comparison between the two initial states, and see that indeed +# we get to the ground state much faster by starting with the CISD state. + +import matplotlib.pyplot as plt + +fig, ax = plt.subplots() +ax.plot(range(len(results_hf)), results_hf, color="r", marker="o", label="wf_hf") +ax.plot(range(len(results_cisd)), results_cisd, color="b", marker="o", label="wf_cisd") +ax.legend(fontsize=16) +ax.tick_params(axis="both", labelsize=16) +ax.set_xlabel("Iteration", fontsize=20) +ax.set_ylabel("Energy, Ha", fontsize=20) +plt.tight_layout() +plt.show() + +############################################################################## +# Indeed, the CISD state significantly shortens the VQE runtime. +# +# It is sometimes possible to foresee the extent of this speed-up of a particular initial state +# by computing its overlap with the ground state--a traditional metric of success for initial +# states in quantum algorithms. Because in our examples the states are regular arrays, computing an +# overlap between different states is as easy as computing a dot product + +print(np.dot(wf_cisd, wf_hf).real) +print(np.dot(wf_ccsd, wf_hf).real) +print(np.dot(wf_cisd, wf_ccsd).real) + +############################################################################## +# In this particular case of :math:`\text{H}_3^+`, even CISD gives the exact wavefunction, hence both overlaps +# with the HF state are identical. In more correlated molecules, overlaps will show that the more +# multireference methods DMRG and SHCI are farther away from the Hartree-Fock state, +# allowing them to perform better (you can check this by printing the overlaps with +# DMRG and SHCI in a more correlated molecule). If a ground state in such a case was known, +# the overlap to it could tell us directly the quality of the initial state. + +############################################################################## +# Conclusion +# ----------- +# This demo shows how to import initial states from outputs of traditional quantum chemistry methods +# for use in PennyLane. We showcased simple workflows for how to run +# a variety of state-of-the-art post-Hartree-Fock methods, from libraries such as +# `PySCF `_, +# `Block2 `_ and +# `Dice `_, to generate outputs that can then be +# converted to PennyLane's state vector format with a single line of code. With these +# initial states, we use the example of VQE to demonstrate how a better choice +# of initial state can lead to improved algorithmic performance. For the molecule +# used in our example, the CISD state was sufficient: however, in more correlated +# molecules, DMRG and SHCI initial states typically provide the best speed-ups. +# +# About the author +# ---------------- +# .. include:: ../_static/authors/stepan_fomichev.txt diff --git a/demos_quantum-chemistry.rst b/demos_quantum-chemistry.rst index 314bb42c4c..4cd38701a9 100644 --- a/demos_quantum-chemistry.rst +++ b/demos_quantum-chemistry.rst @@ -105,6 +105,12 @@ Quantum chemistry is one of the leading application areas of quantum computers. :description: :doc:`demos/tutorial_fermionic_operators` :tags: chemistry +.. gallery-item:: + :tooltip: Initial State Preparation for Quantum Chemistry + :figure: demonstrations/initial_state_preparation/thumbnail_initial_state_preparation.png + :description: :doc:`demos/tutorial_initial_state_preparation` + :tags: chemistry + :html:`

` @@ -127,4 +133,5 @@ Quantum chemistry is one of the leading application areas of quantum computers. demos/tutorial_classically_boosted_vqe demos/tutorial_qchem_external demos/tutorial_resource_estimation + demos/tutorial_initial_state_preparation