From b175f0ab59559e8318a1179884763523022a5221 Mon Sep 17 00:00:00 2001 From: didericis Date: Mon, 1 Jun 2026 21:57:05 -0400 Subject: [PATCH] Refute inner-boundary conjecture with n=14 counterexample The 14-vertex 3-connected triangulation at plantri index 263993 has no vertex source admitting a witnessing 4-colouring; the level-cycle conjecture still holds on it via v0=10. Reorder the section so the level-cycle conjecture follows the failed inner-boundary refinement. Co-Authored-By: Claude Sonnet 4.6 --- .../draw_inner_boundary_counterexample.py | 110 +++++++ .../fig_inner_boundary_counterexample.png | Bin 0 -> 86866 bytes papers/coloring_nested_tire_graphs/paper.aux | 38 +-- .../paper.fdb_latexmk | 7 +- papers/coloring_nested_tire_graphs/paper.fls | 4 + papers/coloring_nested_tire_graphs/paper.log | 85 ++--- papers/coloring_nested_tire_graphs/paper.pdf | Bin 1022921 -> 1080639 bytes papers/coloring_nested_tire_graphs/paper.tex | 293 +++++++++--------- 8 files changed, 331 insertions(+), 206 deletions(-) create mode 100644 papers/coloring_nested_tire_graphs/experiments/draw_inner_boundary_counterexample.py create mode 100644 papers/coloring_nested_tire_graphs/fig_inner_boundary_counterexample.png diff --git a/papers/coloring_nested_tire_graphs/experiments/draw_inner_boundary_counterexample.py b/papers/coloring_nested_tire_graphs/experiments/draw_inner_boundary_counterexample.py new file mode 100644 index 0000000..24ca2f3 --- /dev/null +++ b/papers/coloring_nested_tire_graphs/experiments/draw_inner_boundary_counterexample.py @@ -0,0 +1,110 @@ +"""Draw the 14-vertex counterexample to the tire inner-boundary +three-colour conjecture (Conjecture~\\ref{conj:tire-inner-boundary-three-colour}). + +This is the graph at index 263993 in the n=14 plantri enumeration: a +3-connected (but not 5-connected) maximal planar graph with degree +sequence [7,7,7,7,7,7,6,6,3,3,3,3,3,3] and exactly 96 proper +4-colourings, none of which witness the inner-boundary restriction +from any vertex source. +""" + +from __future__ import annotations + +import os + +import matplotlib.pyplot as plt +import networkx as nx +from matplotlib.lines import Line2D + + +OUT_DIR = os.path.dirname(os.path.dirname(os.path.abspath(__file__))) + + +EDGES = [ + (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), + (2, 3), (2, 4), (2, 6), (2, 8), (2, 9), (2, 10), + (3, 4), (4, 5), (4, 6), (4, 10), + (5, 6), (6, 7), (6, 9), (6, 10), + (7, 8), (7, 9), (7, 11), (7, 12), (7, 13), + (8, 9), (8, 12), (8, 13), (8, 14), + (9, 11), (9, 12), (9, 14), + (11, 12), (12, 13), (12, 14), +] + + +def build_graph() -> nx.Graph: + g = nx.Graph() + g.add_edges_from(EDGES) + return g + + +def main() -> int: + g = build_graph() + is_planar, _ = nx.check_planarity(g) + if not is_planar: + raise RuntimeError("graph should be planar") + pos = nx.planar_layout(g, scale=3.4) + + fig, ax = plt.subplots(figsize=(8.2, 7.4)) + + nx.draw_networkx_edges(g, pos, ax=ax, edge_color="#cbd5e1", width=1.3) + + deg3 = [v for v in g.nodes() if g.degree(v) == 3] + deg7 = [v for v in g.nodes() if g.degree(v) == 7] + other = [v for v in g.nodes() if v not in deg3 and v not in deg7] + + def draw_nodes(nodes, color): + for v in nodes: + x, y = pos[v] + ax.scatter( + [x], [y], + s=520, + color=color, + edgecolors="black", + linewidths=1.1, + zorder=3, + ) + ax.text( + x, y, f"{v}", + ha="center", va="center", + color="white", fontsize=11, fontweight="bold", + zorder=4, + ) + + draw_nodes(deg7, "#0f172a") + draw_nodes(other, "#475569") + draw_nodes(deg3, "#94a3b8") + + legend = [ + Line2D([0], [0], marker="o", color="w", + label=r"degree $7$", + markerfacecolor="#0f172a", markeredgecolor="black", + markersize=12), + Line2D([0], [0], marker="o", color="w", + label=r"degree $6$", + markerfacecolor="#475569", markeredgecolor="black", + markersize=12), + Line2D([0], [0], marker="o", color="w", + label=r"degree $3$", + markerfacecolor="#94a3b8", markeredgecolor="black", + markersize=12), + ] + ax.legend(handles=legend, loc="lower center", ncol=3, framealpha=0.95) + ax.set_title( + "Counterexample to the inner-boundary three-colour conjecture " + "($n=14$)", + fontsize=13, pad=14, + ) + ax.set_aspect("equal") + ax.axis("off") + fig.tight_layout(rect=[0, 0.05, 1, 1]) + + out = os.path.join(OUT_DIR, "fig_inner_boundary_counterexample.png") + fig.savefig(out, dpi=180, bbox_inches="tight") + plt.close(fig) + print(f"wrote {out}") + return 0 + + +if __name__ == "__main__": + raise SystemExit(main()) diff --git a/papers/coloring_nested_tire_graphs/fig_inner_boundary_counterexample.png b/papers/coloring_nested_tire_graphs/fig_inner_boundary_counterexample.png new file mode 100644 index 0000000000000000000000000000000000000000..11da609c489301d7290f19d4ebda8e25ef75fdef GIT binary patch literal 86866 zcmeFZcT|(zw+4un&jxm-i=ZeV2+~_bq$?;&uZl<$Lhm6e0wNs+l#Vo|h29A$O}c;( zAV8#-5PAY6B$<=&-QT^l?wa{`*36o$&(Z+?-rxgoPdcGeQXJVl8}KWxx>3a?DB1(3OFK4MF>Nz>GDTo#6lj zgZh2Nr(Q|R5cUiJ-eL|l;etwkqlaR!_74KTc z`pWuSPG4@4pJ?2BQxYRom1PxsSmWN6u)DuJ&Z5^pSha0L6;QF#AraTKM`U6mGJ8pQ z7Z*1_H@AogH(oe?VK-~XPazd7i2ky;^SyZDzy4r2s`UEQzkd{6JNW9~kFRf?u{iYa z=T{*NZ2x|=&^$c+??(pXtBo{)(O$!64@m5PVrY!}rwBYF{Z(=Q|Bv#RAag>)AJ0Ej|xR=~rJb};=!k1!`bgoAR zE4cDWYQ2>Ws%B@G>pZqnyNWb`GM&AAK;rAy>}(bP%|y(vYw;#m+t^*h&R@EuX=Ide z{^G@s<&o0aC#l3wW8U-0{l9-Vo}r82N{G!)we7%lOX6H2Gy*?2tf8+TUq@WZb7|x7 z{FMVC+wv%_2e%S8Ycb@W67+_boT&TKQ`d3gW&qco#jn{&2*s;ROlg11w%fW)_R05$zXPSJj1B=_V%-J z#*QJsJPv5B9K7ElyIRLHp9)6;sqif*n?lkDw71HLHCb881RR==P0~?JL3ep&MMCRW zqyq6y>OILhVh9@T{Kdvs2#P~g-%)=?xe^9b3 zRns$LuD!82ss2X(_&oFWj#ze6g>qGL>dfB%8b+Hpt2O2_2Aoi<3E1G<96-1q=PGeS)_kb&WKa|4RqMz-pnu~G&MA4X5-Bzhz6%FnhB6Kx;|VGn88(I;!>%5^HWYz zQlj+7=e>RF#U|X|nDO2a)FC4>f+ySZ18%%lp90p&dSS^(aKWWous(66dY<#n=>}W{ zn)l8f*QY4zaGS!*cM}@E?wilf=c~Lv)k&V=gNP7K1USB}f6qw~9SwT-bJ2}8m3PUV zexJKj$Jt*$YBD;UC}!Iq75G}OZ(Qd*fL9ASb$YiT!;Kum^;bYXj1dRfckZxrj47%fR9MXX_~PfgW34%5MrYuyEY`o^)NMFhfw79{ zu!8(%*PT{{?$07ht>J8v%fH$tUo`=&s{v|xhyEx>ZQhzpfxRF*s?h8?IlDEtmVbAHjXFh9R*L6!Q8CsK{q zU|otWLbvyrKo3XX=+NB^`QYXysc@?+JOVvmqD@jcdcRv*4SN45MEr=BBlwuW38ks+ zKLbyM`$yC?xX$;8PfRb5RXLKkB zEwvrtapitqs%l0(v`HGJjKw>ZMK;-_ByO!FMli5Z_17{SnWM4+(hc{BQyyEj!- zS63IAlER5WHBj)+D#0H2Zk1P594)X!6`Jy_nE&mysHv@mNshaHbUqnW>j?B{6#*w> zi%6VR+MJPX!_*%`?ikp%@(VV{T3kh%mA#!^kO|>q>Rx8`^39y2sZF2y0HN(bVL$Fn zl7zhcxF^cg^OP@jt0B^@0a3Tn!HrsUlJcWDDDQDFuQ~GAx$7sZ_duXnu(!26wpbx6 zD+^2A?XnIU&vEUQ_iVIuta4{+>u4Ks%JS%t?u=N8uyqRnr z@494jf2z)68}(O>gQRZ`8`OXNSY*bhq_h+U-<#%A8f{fW65eeX)ND`qc6)2a3*iH& zqE$IX5UxP&cc#dGQbY5pgY$g`$?@cxni@ZvXM@?=+VXH-fLnBQi1Kp~Zcq57*~W!x5`gvG@Nt9mlkKepCA zY_z!Cd?v16JCIx^{Lz2PHg;*rPMW+m5Kbju6g0T9IoJJhWyLY0x5EE;}OSG#BoWvDJiPr(FE#=l&> zk#)f+m9mwiRAX8%yp<>W#=#(4JJnGyLR>-zV+ygL!m6hy2w%FMT5{qpfF{(CTh4aE2# zxQ!cCr^hl8yWi3Fvz1^!8=`lhjzYw?Zq)P^6cn_&Dsy3c_R5b$>LI=XhsC=6M(Qc>Ke3FI!(r=?(Vq(mof057z^zWgT|{ zWaS9k$yo!dA2rO{alFtFnldSfKEXAxk&Tl@cf%;9e#f?YS*ViMN z{nrBKYBV)9!?n{$1KOOXLh;o}{vS9)J5G>i6s}!sk#wDVfXRNCcvR36z^~7pOD^b2 zD0ALH?%yaRL44C^AV-^P%fJ7F9NBGoDJv9`biZ-#S0{C{D#x0|>qziHl&n2?yrNUqn5$~UVY{gyv~pPiYx zoO(UjWeiW9j)Y8X17Lad*0e`0jEk}s+-(KHf7fOi9IT;I$r!49ni0*-+|J|L64{`T zR)gKp*REYd0z~ECxH(TiLnR~ADGLq}WsoNMm3)QPbXJ_}&m~t?-b(Sa^HByIIemH- z#;~3;JD7)bPDI?`e4v-tsS4sSRv{Gxxw#U6j3si5N&2|}^}z?&Je zSG4{)WJ~&4W}B*9QovVd|H{qc(B@6CgjJ=2DyY&p!KR)wg5Z2P&voGKkrQ2Lj#sjb z8M=E!sg2bf1xiOpho82>?#yc|ygRDFpS(ylQiy5Tn-y-IZp!6?VJvcvFGB(Do|7SR zZ5BVZ$h#n*_Zd}7rI6anOdBm|z@!nuX6RjVe9tHpdDmg0&ij`Y6+5LSH%B z5sWEh)|u7ewF6#yAQwL}nIv;jFZI&Yr1(*Nz z*GpmfRw*5`mJ!k~n_)ykWdp}YhqZxAdej>HWqUmOR^`}Pm&oP5emg1nwJ{K+q-I>+ zY)2E8Iko<>9Vj^e+uv7dcOF8u74q#zzwr?D%@rOu7%$|_&<|WskYLSs%QjE&PJ;!a! zOCj^NWfQ?h?wFtwT%W)ENj%LMKKgeK!E1>%m-xvQ1ymp6WI)7Cv7|=k1TL??Zyq~X zemy!&ocuA>5*m)3o1NXYv$wx>qUaE0uiur);z9zoQFOFTGK#=mq4D>|aQfD{6Uzga zhvQ`v6xKtuPm)OIw4{C{5w^Kcp)eGJi5UaB{#}`B2cQb_F!hrfMeF&N2a(3!Z%ub;tb45#EwP`~ zZo7GQ{(%5JU{&Qy2{)rRe|@mzs_N~G7v}PSjbhyv`?Ew~G(oGk#jI^^tFCJM{zZ~j zYFo=9X49q@ zzchVYZ~i*R_76l+(d`-R5v0Tt=84S8Z>KTGN@>%lPsMT__I@z?rzxk#k>71dnu;xa zeuzaOB(vSwBV%IDb`EiPabXR(U+dD4O&{d%!9|8kdcWtWGLPO-m30}@F021#IGrd7 zjk6i}apL;J1hHk&BS($|AiqV#GUXS;NFJ6(jE2YD8IDq~+#4H0B{LK)tN5R;XZXwKu~mC*}?#k;~yeFtjyBBbX& zN5yk2ihO<62H?NklthY4$IZDi_?7m)_gf+rI&vwp`7*)H1I{0sr3XIHTnMX>K+lPF zf?Ube@HS?CcXK|{tJVjC{rjWX3&(=9T-@jsj)%gq#;vbSnH6@@_BP@h*w>!fSrlO}n%g>$IZ0OT5GR=clsp#nHT4`ZD79r#)dx$Q=Ha=Nd-)1!8+qc^}SS;46?5lHF!P&@pro0~Rb+@Fe&OK$%VIERB zNPt3lg1*vn#<%wlj+*Vz&?jL6HS^ppU>*>wyy$YS`?NjmxhrDCkb=>F7AVC__fa zFUZ{UwzRrH)rV(%&&s;C?Cw=R!41FE!B(RN4KSx7q!!uYDHw*!9mdf5YbbMg{qE1) z*o(w=vN~V#i>DDb!{>H_%$l6Z36?j6n=|BB^c1vOH^%<)a}4A+YLhbT<k70^s_&vmWjkU1Y(d|C5QlB1hSe}lQx{ffjt0T(`nW6#WIQvBamAGgYK zh%1;lX?sJ=evM1=RK}r(Vwpc16xg2+TL$N|huceg73|AyKhZbywo=3VVY?OCb}qW2 zgyDdMpgVCfC-Fc9;YP*1zlkA_8s7Fdz|^atYCgWcEh`7j*|%E8sJcb>(MQQ0!=4SK z@igyIjTsv8=QqQ{#j;MU9CHcXy>$SWUH~f%_8s8Rz$bEq%~p%V%?EODTCcmUypQ#g z(ejA>XFL7EeBcYeQ%rIM%W>=4211hOgtyA=0&~*PM2=D5x7d*-;P==D^-Isi4$i+e zNPTiJHP~{OK~``6-3vL!YaPX*hxZ*_-`SA1=fL{jD66NJbuD42GM_G*zbWX8fKYZG zL#NHDME&VD{!uI`7_yh%tnrt;4e);FvX#Q;#<$IYt+r->Uks$;irvA7}>|YFH;AgG7B27I6z)BSw=F{W)vI@1^|+4KlD3 z4w1XR5&A8M#Y;G2cEHy}xol=(L;HxcZf_Rt$e4p%g0dIL2mT|J^ zLwUDj)Rs{FmX0d}BkT;4Oh7jwwaf1Pq6TRObUsX!2=_`p#U^o*^fQ}WLrzFYP%%k8 zn&F{uX6ESMtxw&-Zy(jnblBJQc@4;N zB}+&S0a>|=mfnv2sI+R=`GojN2lUI@XKg3UB zPkZGyAN-ze{K2BaT6BGlxtM~&515TpAfpG(4+n36y?Xro2Q}F8+o9wI{kP;5p!n|{ z^aU#>cjr^%f&QXe%k+LOPTy_V$flC=PH_3}Jo8@r!5C~B36J{FIANj`G6<8>vmeT5 zA#4-z?(p6_?sH$PBNjcL?@F=#S86n9=OM+_TzkKYxj;&ociP_RuSeuo%~xGZdsJa~ zEh^>vlN{DVJOZZ##k!8mdFWLzhv0XA3+-DTlnTfQ_D!F!|IwLsLfy%EBu8g;k5FWb zK}w>V;6DwIer`6t;{L>dhBqvc<>DAfjF6o->**!B5Ws2184!UqE^kyEMe^-Ywi}>5 zT#EtZM$7YFes79)8A8j;%XeRPCuC(QwQ2)XgLcN<;x?_UtwnE}Q}N~s!A)nxs5CAY z6(1KjhpzM9jKWrd6sX%OSt|#MLBaxrE>(ro64YQ5%(y4UK_~~JZ{pk%)k%#1o|}8z z7OrZ9tg9Ovn=dRZJcHT>&$FZRjCnM_y9#G%8QMVJPG^NyDCyl-b*pb*@=Ar)TckYV^ztkbw& zK{n}0+s~!VdvbM0jbY1x9fu@#zIgFshn9iO)F44t7+Dow44`;Ng1CJbKFM#ReQwLS zjbpx4C%-q?(lm$eE93EGufLX9X82Ci=OIfx$V{itGS8gec%S@Avie0!=UF(IMLT{~H3Fy5v|ZnNt#*_5S+ zh=&e8qSY1r1Oeo0-*C9+!qcd7AEYj9tz17T=ger_nJlP_L|R{E;~jiIP`8J<(b>1q4~#@)O>Q zNdWI8Q8}H9#f#APm}_&Q^GU7|>z`S=Xl!blq$o&BPZI0Rv=2GU&k>Jm1%!J2Q-t>? zz%90>LWP-zb81&=I)}Na8$J(yj&S8gI)76kCB1L1=Fvg3hPbNbM?ATKzPKcsVW@Bx zu7(Ers?mSvtE4)czN@a)H=kthNH~m&S+Id!;9_m?tTt(Kw9Gg64Vqf_@|$jpWInFE zr3x7?is9%9wluWn?Kw~^C!7cB3q5r(SUzB&Aa^(!$%}QtT>it`Aj4Idnt%5wCDH@J z7+Av9?zP-n;wNa92ndEYpTbZ)_E~=K!|v|xIr{}Q?oA>d+wJg&Xs$mlXsJgMZ zRfEX0bNu-6uGy_~Qv=$N@!>*k|Ba7|k;Sx06=N|<#Y(RW8c=OP)D1d(69IYqn56f{ zOq!)LV3jXpJpQqU=ldrG+6nd^%j@Nc9@ER~bB(a4+GI35?90h7gmzF84 z>>-v7?%1I;Cw)xQg73vsLR8~sWfstk0I()EF z>Cnl%ky%hNAayNm+T{0izG<5twMU#fo*qOrtn+ei?md>yc}X@kK&6ysQ7WZ=->_vM z`)Gm54sCxg_LC2rfwAWDrFdP^o~{pY0cRoGFDCK`@mq&`Xu#HCa&SDfIMc~z&^92 z?Z#vV7x|kv2^gT6T4l~)AO$OEP-O9o;!6Cy#pOx0RP+69>;C5GMgR5l7L5MxngT3a zAHC`kc;}35D#+u+rf}gN@O+=7@K%F;`lz@dT8dWAGu&0R`_`$tK`HH&7C-;*w#2lV zwLSX{S(xulh3*v>lJd}b=HIvB0yq9_A1n63v8ex*oZBisdkh#y>xTS8u^~w#qGE%d zh#kJ*=nK}dMaw-O7yzOe8A%`;~C=4f&93y)OV2cybM<^ z?(xLy>*}`nJ+)`JyElS_)pmUrY5FX5^CpdH4;fet!@oSBb`KEipgtY8xHyp0Nm^~- z!altBX>XNELFAiM_kX5#vio~sNWUocPfeZZ9Rf01(jDnbTxi4G+OJoW*09kyl!Thuha zTBmaVG`$T){aZ$cl0ONJNx&>rgS_0bUY#Mvz@h~|)Be%2=GOZ{5J-1Ht>?u92x+;r z#GmZLq{zOzs13KpZ_WF#H9pC=p|u^pANK}H)*c# z`XSH6(QG1S6wEaXvY$_&A>w`8^f6zUp`l^Ps}a#^P@%P=?Cr+A;sN8L-qX9-UMt$j zMyYbao`Q}eChy(Zct-f0u%o}N`%dG+nzelwK;pjwR|GR{g%dp!;O!Rt&_dS~AI zUp4O7nWa2L+~}y$CdDaxUX56F)j8WrWm#dv!#8u&DZoqCxZ67`E2{)l1q@4G9BZTX z{Hcf2eUf@N7T-a0N1(Az`w8K6Ow2VtoC(%ni#=c!E#Mbm6hwR^-Ch(3u~MT%WeK zw!T4`!Ih`&>GD$>UGo8Tf{m>KZLZ{xSHD!xs*+41D@ zgP7B_#>MvQduMFG`)jFJY+qwhFTIju_@`U-KM33r&YmnUzIpRztH%Oi!QVK27s(LK#f;ZQBg5p@&vf*y_C^=+O2G9G4~`Qc~QFcb@=+-$|sfj ziv*0@z{BDRUfTEk-{^wXF#zby#A`CJ)lK7rQb}mGx?S#*DP?G+{wS;G`(BjgN-xl% z)7WlWT)6syzLCceAiQR4CG(4mi?_~p)rCxT6v44klo}bM<^h+?ST%3&YFZ;wKj@3w zf0E{A?e=3}g4-&z4jC3RdjY1rpV+RhlhrfRRPK5Ig_F`Rdmh~6=a0(oI=SxVrlF*i zQAe6!+HHW>U5S( zaOb4DMlTOn^DU#H_G35YCzxERbG@lt1R0w1kktss(>q?H-2jSA7%0p?s5#_K7Efgn ztMjL{#Lprzkmq|4gW6~;0{Jrr%{&&_NTzwWv!^c5x@Of394n1AG&NhM*VQyMa%ax> zicy$RuG)~Rn~|w(Vyk%=V#t^;hO4X7d}ldlCSH6e6)>e`;|Nh1TZ1aq=iqo`+rPh*M0 zKVw|`X2kEazeHUsF^2|)B2ttEa@vCvn-je%9H^Pjozr+lokKE`^{YB2B+Kk{x zehRh)@ZN=h0#dbgZ(}a4L-fi7-SuDL9z>x!-yJ&_W}9Q56vk$5wd)`#WA(;wo=vi2 zF;tt=o6jshK_dPaGc(4XcK?h1nbOz?ip77%T7WlgrG zq|*)kG0%6mHZ)&M9@`8uU70yI-?<9+4L##we9Nif;PxdjT zZl1bVUu9z3YQ-_OUP0YW7c_7~ZV?DZrQ8SP>jMb%6`rPpzq|K9SA%Fy0ehYEL~-eC zm8CUfH>vXp_2hBHU@NNPmw5_N^>KQ2NnJYZ>!v{fQNid@Yq?GiQ|8un!0sZBg9P}E5G*l{q;Yt#L(a17ggPFsw!z3bBq0{Vzg zDv{*65r{}3 zFGpxLZy6uGuGddKHl_{cyK-jVdY&CQS__bcdS{VGT2tJ`$~}T7GYh0In>0-a1+VWb zGt*81@CpJb22e-;#01C+zpIig+TfSu9XR@p8oGBN0s@)$4a4_kEPs>vyQWK5kHf7C$Qc^o#eome^>%_3XS1Ww~3V@I}xRKT_?QlbMs#=2J?a zF#RCSF&q=-;ZXt=2**vA;95N&-}xbl4v7@!o~ zuaUb2FpDjRj*$^Rw1Hd!(z)h;my|(YlDd)-2GAmHb<56Nr-8Z_-x*gJ*J{ws(>p_7 zk?lUHSTqXpTiG<1@@eM_X4VY_anK_ZorTUpe=kH5?TmuK!(I8lKlFQ9h3Bt9^Sz2B za{6XO*BZWKa!$S?uXza9hwH~Z;o4hMon?gVA`GAx!BwYqxAuWWAZm5BAb!Fu)y>_# zL*KDV$IO3mH>2TUbk~@Rdgm{Igg<>|8Xg{>R2Y?*QJcko9q9dJPFaOE&uYZymK?mv znaWX$qs7Co`v*$YFPV|TJDq;v_2G&su(_MADR<;mMO{02#RpmN4$HXp4>{#302<86 z71UAM;TV3~LN`}VZW=6zIdbbhc#HZp>8}1PqRf-H z$Yi49Y@gcXETl!=ys47ru+<}R&mQsk+4umC<+K4QxoC}dcPFcJHYqYmc*M}qWqE5O z4cF)HfN+e8lZcdt`Z>mxmHA{!rm0He=sUijm_?nREDsu7T`9cdtC1tkA!@Dhy{eyG zaS*k-l6yy3|5HSK%v<)6I`7gk;Al!-cC*?-q0GK)r6naVb~k2S#@$ivWnWxp>c`y` z(K6{*_-uAlQp_yT^2y_Kb^UMIGa@DFYIc@o-z6#34SksP^cXsNYE;VJCFF&57NaS~ z9EM}Aip1)l!gj(_uiaSfBd-bAM}Lu^9vPlE_d@i-5D*_ z+^3(y;^oC3?kkSkzTyn887cj(FMrs?GfL@vF;g^oKd6g^0M%KLp(f96I(M)(+77=f>9Y9Wqm7yD9isy=h_|l?j(Kmf<&R}dyosi z_EM&i1+S}4Ayj2;Eaje>2R{kKIc2gA4r!@k(0&eiU$>d*;-5N0m&cSu9Vad=d|ijW zg4h+8jGItyXpQ=7a0&^Gh5Bz-ea z>rdhhjyi<3En%JViUu=}?Z(6>+nOo-nTsYfMvgIV(WM}_uX|(fP?j8JB4&ArrvEJk zgf?vr47EITHKh$@DHBP_Llk`b=^>?K<)d6I#Q}qo%RQ^8N(}U!7~XdqQ&;Oau|N)H zFb>BH6&jw>Rz}Lvne5|MIF7;q84nNd@J{+R7YWceZdidnJme9K!yqvEPAkv~RBsdr zoSP+;IjDb%eSLiY>jIwr3uNk;tbe!O|BfUG2={QfUZ~*Tw>A=LUo}3gF7O@NzXjX= z6%zYb7be9T{xNd|m*VP>c zG>NGD^Yj!`|WFfMmU?ytzeWY#zVBZDC(upYYSQIhB$&(sbRs ze~4~_&o7!8i`!V1=$Wg2{f{i1|6?lKUeX`vtB(G6)$dSxr$#?_fmP@J)cbgSM$^nA z+k5v>qAG!Fxi*r#Z&~VxY2f3%kC(%2T6jB9>+k%_fd2d`#`nJoKv(fY3jNfAg0TbZ3gk##i}T^v{UamC{khyu>C$B$tg z)%>si<2H>J(Tf?(M${#P7P&Y2$kcs#zus`H|A?YI(WFwmw z_E0!-&U7~p_NLA;v;y-!aGSs`mRDq|70fPMZvu`$xmSa(P^<0)anO$O6B!=X z^+0-iFN@YR+g?5IXYt!=%z;BOc34B8`a4|(zwKL%w^xB8J|j|r-*e14xNdKwGoVmd zKvtEXuQ%#L`@l6xXkBKt$&^#JdSs<>O>Ir{c)#FaZDr@g_^PI_F*Xe=jqC*N_@J5ToEXI3q$0_0R9e(ws8~nDJLvqy_>(sBBA3ZO zEi7TlPgniTJ?ggO_DET9HPYnYAICyNHD3(o`p*135#PFOGkUX8&yzCezf18%3Z23; zW_YlJvney+q)yxkp{gr33Upm<-DgbW-k|`R2Mg24P*zUM{a!kAXnrqPPzwLRxw^jz zSy@{nGg}^?8h?qpZaq@!YW#auFW-Q>a>6GMt=GB3U@yJ8;b*Y5XvAHD^ zqTUQaJF)Eo&hvfVEOFhK=@%%BKa!JlCe~Na*tm|+abn{a+4I+=M5VNOz!)0ZV49?5 z{gZKc-Hn}Y=C}8gi_1^E#z#hO0)Fgc8y9>mNs^j5Fk2$v7?o7F_YIR*a4UFbk_3%M znUmwCSHaPO7)CC?NBsj$&@azW46>a6F6-Vtb`S|ffuoGH1KXojNpW*AR^~e~NmUE^ zQAZDly|}Q}daAcQV4GqDPIQKOgZ7C+k)juwO3Ma^hu8h~7j^o>pQt!s^LKUrDR+3U zw?|YO2n!ReUa^Nnf4rE=G4T88A`Y~T{|^>FS#63eHS^N?*Vc#U>ZgW>00h>-j9o0n z(E=Qq?ochB9+I#_Six(LpW=h=4RwoJ_Q)BJht|l~m{QiZK=Z(z3fXAhpU!l|)VR-o zo_6t~brHFy-F47+#>d02=svL?+2H(xt6A#AT(UMwa5k(YX~T&hdEefbVWRu1%S<$v zd^hHVc%36C*5o0OqjmZ9aX7toG^R_st#d=zZ=}v|P*EtGK%0 zpEaWblWHAs{3CpEmoM4zeKVj> zL|oY1rv)GLFmuAiS%SAUHBbbeM{{aMP3msM}$M$A#X+7$92H)>MtVXS)A5z)y7 zd}*7Nno5nPsEI8Aa+!H(fm;qZm!coH(Az^A4&?MGf^ntqKxc1f+(Ybat53STCvNco{v(z7a#HrbAAtOslH_L@^B7?{2_-ycC_u;jhwDj1sgAp+(-Y4^gNxU zh-o(XiS165>IT)Pfa&PD?_C*pQOsa0Ioi#bI2IE-8KVvN0|#pC zRu?|yn0c8JIBlXFp}ns$@$q5tk;(Os`jaBkc1N+*g~e9QcwxEOlipK5bo>3Qx`!KR z{n@nNmGHQbH~ky4UYZwn{8d9lk5Go>u0i;m)Nd`o%3tw*{D$_VjbJS#V_7dbPD|p< zK+l)X8-{iK{vE2w+vwZle06$> z5)Ps{Io&dP%e=m0jf#hvtI#f`{w>FBCD zS!C(V4kDq(VDt0M4NW%8$DTq*O>p>#-OSHcNo{b7?nBxGIceDISnG#1BZsl7KES}r zsvZy3`W8q}QsBHRrC?AdzOE?Kjc{z7clj zP>aC=4i~FGF)YMP_O2HbtBhExsew@J=IVX7L3M9o5Z!kkJ6+`UL$JL=uHUs5jg6f* z_ipRQGjaxxCXh>NeHxY_QX6-ZK4{R4Z)RVcujGS@gngo9;=qNEq@$~)AOHM$YAEIT zLD1~>6ZVL{hJu2mepG}dh(ga*-=Htxrqggn5nmMg>h@M8JuVNf=$(*bT5YJ*1sO^I z=_!V2y0AhbFJ7eytFdFv$k_Q6x*SuNlqhNT+-mjB(Zz*@i|W$-JzsA_j6a-k>DG9W zGr;X?{q(YYaq1o^Z|YQfaEZB=BT^c$IxP_gD+LnTxW&bldt}@Ty&)*c>e+BlPt}=< zgON>>O{#CPAgaVnYJ6PI=NZH_r6&X4`R;SNBYp3x7lg7iH!ZCihg~SL6^d`}0Jhnx zo%Z!DyEL`y9Iv%WwlpI1hPjs1%MW$LxriuK^4!u1Rp5J@_iy`*lGLsf74J}C=S`Tc zv^syQRrT7M6yRQ2saOXGL}9%26OC)*;v1=g`wvYA09PUmIn3;_K>-gP`p3r|dR(Oj znzdLHjAqS&VnwD%Lu@Epx&4oi3~O0qj3;|~cz%2z2UE7pNX^Vg+{t0~l?i_%MqDY8@FU0l&d_!Olf)Kqvk!kGfFfB6ZM&n45vN~PL>~y z9j#H!%EBKBk)J@`Mhhhv9c3E*oH(E#&2b!ove(MVi5$zldeP*7E(#c<(W3ueQf^dS z@*P-=G>6@5pzg84?q1_K zTr_U*)XT*8jdv?$(~b`d?cr`6^sZ0eZqOT7MeBYG3p-hy(TFRVb}qU{oxV-yLAGI+ zoxgSSkeDmp)hQhH0KP^|a6im)nt@DxpZURj>Ogv&S&4fYauNK1$`ehkkJWdstJm1C z#j(h|pSC?=&HNejryo@*d%j>rY0eFBd&7_adMIy7-G4%zPKzCS!go>Qr4MEu;o!!G zbGWBW7n0Pzdu^U9hyQM^ARzgNK{V2FAH6v@yEKkgGDA7v0Y71rgODr{=oYbH!6p0o zG%ygmw+R}W#NSsuqD zrRAX$aq`SHbbb;aLx7|42E8RyDBBq^I-?Ba!%5_kQAz7xi_ zzKJLG6JA&c4y^=w(Cj9Jo{n7!X|kuLh5Jv7n(90jH3I-U^Xu1pz#mwxu57o=ZwCGe z@G{bEfBmSmVcD7GkPrXrn7;MVVgHCfPcuf1;3_4)@cLKdoS^fT^rW7o=451OcvD$f z`ME0SO3w> zoWO~|XcQHNo;$g{9CHAmc~5N6OWj1ewYgny>fTCk&|sqwnYbI+z2*J~%vg@W$&_{1 zd-7#L1z(`}(ZRTcAmcZg(6_UM|bpG3Pczmcy4~xlCb^mH}8E- ziZAav_f5M9#n8i!un-FG%{fBS?gh#yi*G{|v+!5E3Z&6Gml8r+{7{ zqNs?+a5p4meyUU*5$=+XuQu*=Gpq!Hn*o%|SKCtp|Bb>%KN&^AyI~VXU&8CgHcW^u zX%%E-{D(ZZhNq`wmujW7v`OXf*_QFq;1@IZ-X~qt`m0jchW2$vdV2GZpf{1RNiRBb zL4*n0>4q`8f}@=Fz59O|imlL)d^&n2E1V~vJcnu$Hkq&iJ~{$G7|#D$&wE3! z$hO{|0u&;n1KW{zka%yv+EutWardO+-!LaZM~40nZu4V{6AIsdsxD>?7yy)lnp<#R zbN^>`ZS+=|)ddkedgHvN{W7Yp6&Qi>Y%(R;(h|3PZvh}^&BWZ|EdTw5q@y1ZFxshIXK(5)8LgfDg!2S*z{U ztjc`NIcn|p)}6sv+1z5;QGur6{^x!_cVC4ki-pPX9%Bcg^DEp!50@A#CDkw6lX%*d z5>lL_(D-A^tr>6P)S3~4xX~%L{(;Isk1$2w94xfnpcIA8_1ci)#fUBMhkZ}(7h_P$ zx3qGLdQYNzbczP23>lF0wrOr3-1;i48Z?>A|NfJ?yw!3guHS_EKIiOq??*H2-dl0FR-wyZfsuH-)}$u%2)aATwc&_ynjB$XI}e(0ah@pt z$^`xj=7k!p?;GraXxGZ`>19vVgZ)g$X`ZHJmpG3#UO@$=kpXr@{g{<$bbz;Wm5_eg z?n=c>E18$qyK)`brGVE%dErtEp`oO%zq@6pLPeIsAx?FdagWYyq)3g1-TFH~7+@m} zc&hT0t_P225*0@@GJr5(m9 zH-8PIXHrT^on`XWtq)hU9wlnrteEJTf)q8>L$*3j`8uE^FZ%g`H&x}YyuKP#_1f!u zc87F!e3t>T-$d(`3?LR(^RClCj(>lIhdP^_w{^RUPAchld|sK z5wnwn?Hl}d`kex+P9!8aK>3gfTY?ZT@OvWS7Z`0kRj*bG|d7=R~l?x=t3lE0?we$t~JKSV3FD{PeuWq z<21(g?3LDvD;_F2pF2Lt4HmD9y1EV57lDvzk1#dO&eJMY0BU*zou#>@2ut_5`)3M) z5YK3;B}yhYT*CFQi|Gb99X8}gt7n=4in+z+xd2{Vw0>8$qyJwZo8KiwSnI>EcM~=P zy~Zb7y3ZBvZTWSAb|%PO8^+}5dUs*8D-~#gK*8v26UFHE23KV+wJ_qKtr&0jFS6j;9^ z+~X?{%8%KcUs&KHkr*m?UZ2ux60QX>*Jnzx3_=wD1gP=kCXTI%8qOuFrZ1LchaoA<&zHZdTquEH7}Z$}h`=tnFN1U78B3R=x-CJ%^*cr|CjB zD@jv-9<>L=vc*rLay>KfczpdxOKny&T8tOmNCI%b>T1<9hbKlZAA@o_=qEe;#!WJ96Fh+3B+wjDN z?z^Qy%M2Z$J14WOY5NYA5!aeZ-(EKsloTRV?Vl<2ryiuBuHp=@I;YeSB zMn+61CEbt>AZ@?EhrfC0(WVxKCGgV?amOR}-wi5Bmw7{Awp=QmfjX97QP(inRY+Xq zDOC9N3Hw99=5?N<8uL0PbP{x)E+GW}MWFT=Vw;h3oqAYUMdV)gJs!0WWK6)mrfk$p z`^=dtsZU(M-CY@2F`c`*W3 znRz}dZs*kUbxi%SEEjv)8ncx>aiZd76d~Gb?zEI$o3c_3<#q0mN6+#=mgbY-6rZh9g4yVmrAu z_%;K1L_);=?XNmZ3t^DD;4%z3TF@e7&AJ+m&Y~RkzXD}Dgv;9QY(Evhl|k9dGV;qXT;Ztj>w5oc;&&Kq$i=!@Mm#Us(RWf)={PFrkv>YRCX$wlzG1u`znEzlZ0 zUK4$WrkHXx1-!D{Wtba1a2pf)18f{M*TpiIRfEBT=e~D5=Y*~(BEI-B z#1MuT#Up!8Kd8^QPCvFcFX$yBw*Bh86b@~LQa@N37@hpmba1(6jq?%7)RgzV7fV=0 z?rP>B_PD5lKF4+y?0^}fqqE}!pn5zni~R)gzpmed8FK|72xWs7Gd~7+k`+@SW!HGHNOaI<~(gR&l4I)8ieF9uE&K3Sw@;3EQLeUMvVWLE0nMfV;*kMFHZ zB31#odqs!(+htP9Pz|&K$GCx;M?Z=hkqZoWdlT{##GIdDH{9HfI%}AavW*J40cBQr zmcy+D;+>|msH;dRV*A-1G8&}J{U<_;1Cm?Z7anjl^edQqD*fHmm!aRafs@2wI!NDk z%;FNlT*Ij#oAV~77k^fkCjbi=?C{y|J6H(Z_ZT&~_T2&&{{rmfM{ z_fJNh%(biX+~};4uUe z>w^$O0ea&0E{oQMW2-K~vuioA<2J!MwYFH#ux3MVH<=MH>i`Ew=df8Py@8cDkFn46 z%|v1QLN_s+Wq}okpB#%kXGV@=<8?Hz_3VN$Yv}#V-Mwm%ktO0mE``YO)IHqZZnH6+ z_Y)EWKwa^#wu13u88~gIBL*oOAk#{&cgOcGSm4qbZ8L-#F&#!^s6OB{*fzWR&G<=` zt|etpkFdx5>GREd_8A+csH@+%Q;Q_Gcq732cfjQh;CQGRngGmtWIURO6d{p2zstFgZ>6CtVm%lDWyz_>pt2 zbd}<+vbimQ565x-{Q1a-sTU09J@YJ`d3yJ>s(uJmhRh%-;U~+$WiWZ#pC|hQ&E>a* zj`lL;z3^gXaryjm3;8Zge!kVt6x|lhqLBOXx^y#jsXQ&O8_e#LC35LikDZY}e@X|CYNouG_Ny^_2TM;-+z`=U zFjktWLFuTB-F~;d;hGC`F*r5Fp?kEh3%ZIVRNg&svD`=r@x%H8L&)2ibflRLIM!${ z4K+mRt(zu`fPAhuy5V!L*2}{8Ht~`=c-?sLx5b1P zPofhO`%6j!)w@p>Zd7Qg3^;rJK`X{-jOSxM9W4fI!yc)U2Usj5mdu!INv%^nneOg; zIm2o4B*!tUEy~}GuO!j%)eiRp_u!qxHI%wQK&h9Wwcduc+wK7S_C!vDbGIOFGQ11tt*@c9!YBP=?h392+7`0WAc;`g`mNEM>r&!-=xI3ha#CDu|5eIP zfR@%2jX36kK&w0#c zXWQH3w#kUU`si(Kr9f=L;OYwL*ypAT`6YXP0_5BIQ9_{Rk5a zA0`R)YZ*yGFj*vtRy1Vwpie-{Bj*GQNKSJ{!(<}>)3rn1`1_;7eQZgaYVypL;v-8P zDFo@?_@G}TDlBh2XDC1#4jM@&9(DSZxFB#p8Nuh7LhDw&c`h-u;i^DtONz5%x=4D|E#8pC$Dp@X#M|Bq-)t%T^P4c!={x(km&T^x;`Rw?;KB5JVV4*3`1cUzMxy3+ z-?R1*7ZCw7zy>EW%O`}b=5TnKQ|r?FqevrELw^!h_-86_%2uft5mUioH6@Ij ze)os!N#=yVA7vQ=?lMiZMeH3UAr;iBii}yvk>{I`B%-1)InXmO@rWO}8b+D(pht^y zc+hx}gcXY5*JGh;-p7w(eg*dyI$B6az|M*5buX*s4ANf?Eo++v`ckgXc#1GaDuWp# zn)*R8NuUyu&-gQqVv`$5II_TlWjp{*+g#vTr43?=}}Oumf(T;DyJFx;hPUJ ztY32OF}0>L;PnDm$maR$7_>mSm$P~zMo*VJK%{aqQW;@&;5Ac)lE1f%??8Iul{ZQ~ zrH+D$NH4|%ZpZl7jvT;GPlYcnTW;`lN?!pAgzSy-O_3R<8AU)&H{AVsplgdiTjexL z3T1|OL_eiJ>k##p&l6-@dcfZBhuixPdlh$1GXyFgn0X)+lN@V6htR%b!ZhYM`Pw{c z%&ui2`{I;f?$Vu^>UG?^p22ReRp~NkP!`9<)UFOEw=Bg;$(X;bBU9E-CdZG-MS+IN zxWjLxI{w^WN!)q&q2;BZgbr(?i_ok`fVsWE~f@s?4GBka7<>&tL!DOQ|g}u5;v1(74 z*<`iH<{5fmN~8fl6cNJ%RXi}QKt5&LObP%--1gFvaPczu2k4uaHhZE#IxaI>Q;8Rz zl<;iz>B70T+cbE}kg|kGlkq?U#&u zsL0o>emb*o@!wVAx{2dvR~WVs#;b#l{wO8*qgs7gV`}>J`0i(d6o{r9<)jYn{McsE zE!x?jMVrsx1lR;93Lk6YFg%m~-);_RK*FU~hUr6aW!){T6xcQgNY+a2WI z^|dY&77kP4fGvv;JM#oatEqy6HL`XE5brY^1-f8AaPJeeNEMFDE? zXuv*~Q;cs)P}lls?lC}q8a~k%;1gZ`JYYp@5oviQ$E{D2hBfAjpM&n#`2k|A7mz@5 zRW0zi?yokrle>SJoe9$jT3lR;oNm;z6~w-)${yLSt>-N`;Z}!!VXU~cZLt2*<9YVo zUL7ViMD1qJXxqvz@NbF+mPs14q)jPXQJY^!)SUy-i~?kUKI|6KFO}56)TBDQBh|?i z0rSts>EJDV)(K>YTZMhEMqj8#$(hYHA7>wPTmT;l@O?nJ3G=q{RD11}g%w-aU!2oG z5%;+}V>tQUM`K2kR!Bze?S`Dk3dkv(J35tgK;a;1Rz^DHneEQKZV^)L{pn$h{QD=*+5SlWe zW{?Yt@8&yaJ8rY5&u=b%sK$>*Mt`o9L?uThGDW?ADfex1HWKvsdvv(c;p}pNDkDtoYJe%<`r6<-)l)%{yylCeH#kA>p(z`r*Y4f@ z=?qvz-$^=l$TV%{V#n>?j81>b&3%e+-*I(arT2~&6)8KvO#q_V$r1PEDA4)w^VBY( zEOZXk)y3X&4DsyS0euY~Wa>?WFjpwpkXtjZ6ZpVIeDXA^ucmT3Wkribn+c~TH=#Vep1>`pG9AzVz#kG7{QyPD?Uu9_(J8I4tys3lG^$b#p6Po7}_ppdKGEG4$} z_0x_(oaZ`@gS#0NrVIi2q39BFsyQdV5^ye>X(etKcs?-Jd^IU;a{Y_6fg=l)l6UKk z_6}mjUfAtKkkK)|f!HeK+)&c*gB)OkDf)ic)eAag{DBku@0DU&^UEde))=227fI-k zmRegOl(o*I4q6kOf&KJ%Uox?~Ig+%p_q8wVy%_*q`@zcG{(XJP*=!}0L6U*U842CwLn&U%!&LgXj4DR#P6Tuz4!~!=;4hIkkm>fTjxFGG`r^ z)xO~VW`KadY-%2J1gJ;J!GZuMIQKK?P#P=6Y2%qm;&E-QxB#`iZqfkw57nCIS2QlT zBF8pDMk_Tz2Y{jq>HzGF#@8ByYW5;9dtMH0w(M4G5c{84`4j16K`4wK3Hl`-4sv3y zwE|S<8lvf`4YD8f7fMK1%g#fj&_dNIM{hj3hQaw@T>Kk;*b;VOV03Z^>*5I-7uhht zJ$+{;>hg3;dSvsaFh#DJwYD-kR@y2z+ z;vym!n0&;IZGbH&NNf>IQke*Kx}eT0P!vA+z4`m2>0`Hr-*&N&$!R~DrR_ zH|^vl&(VR8n*5Tq*`D4n7E#s_al4@Z`~bJ^29zsz!qY~R;y$O0>_>#hCq5stGOJrx zvo5QtKp_FKQ-TjB;xP}_&ldtsLvR#!Rl}CfWD!?tH}>WVbuTz&Yl-p85eb-Pv{6B1 zRfeY5ZhP*OO+0=m8EPQ0mp#&s7*I8s-%-I%9ojr1vLw8at8B%6xwn@F;ba3x>FL~x z+bsa$XuHrYe<_^<bCKux;@jUC`kWabAL5L52h@9~fLQ z*jjE+j!n8z%o=l56&C>~z6(BZ7VhXGiUR-~8%D|RC(ar`r*^=@g{HSDxm+V3GwUwJ zl^cb;cxF8v(6AKVuBE5nR_5W=k!)Q+nMbl79?TV#WsClJch){5edU+i+cjnp4ki;S z=Xlv`E^BX|(7hiW+BF<3GOe!A1ODYPCTp9&TVCx-Nz(6bo3>u1GkLs4*YE#7A;JsZ zOAx^3qw#KGs{`ao0I3DUBOJa@S*i>ms_(@xO6fmw%fO+AFH^i|@_jv*`|Qp;WzxcgU7b#>*4Nm=^-O#2w_7TBU1 zZzO3Upu-;$h~1%LM@_ieG>%z}U^E3R2J|1QKT0&+Ki3&Yc>81cDZgVh==(f>h|;S? zAiN2VL2vTT#k9rU`(jdd@otyCGDdSi8%nHfk1Ga&HCd4{I znwm)D1XvVUTmfXk=9FWhp66u(Ev=qvz5;4XR%4gMtS=k-eOUUtGlprE`D*O~n&jkj z6Sb?4_4Wd6Jby|l5)ap!^ftX#GoS|ohZ~nps!zBHS4{zhXOX$LVV6B8l_sTud8awj zpLD-YBKH#!NlM5i_@d*0!CHArM3@s050RoS7OKj5|HrALzuaQyyQO)<6t!1ZJz2tC zZ7niqIbGjPS0|dN#^i(T*tDfro;?`TMngU9Q|tia@UW;I;jMlB+^a<_Xc!*4_MR~n zAG!f-h8llo7hyXor}< z>ThOM7o=Vp**R1xk4hOw?ALi|R5@unrvM*dLM1zO1df%u*-lig?e-6=JoT1ybK8C0 z*zM-nN;>$vUujSsZv^l!yNs93^6$h=9+s7r#dE3{grFI_v;W|ZuTx&}m&!Wc4Z|J@ zo>F0BALd7}gz(}WjM8UtZhAjIn*Lp)*`&aDdMLS$5X_HzE6v)_ZyoyK()7tvi*6^* z-Fsnt@LE2ClBDZwU+23)yf7Jaj|?TtYhuXw2K${>XYaqL zuo1rwO!SuP2qjG51-TmfXY!Jg|LBse(o|LWATZ3wJQT_#)$XLb`WcE16S4*Oqu#uPPNOXLNr7km5mWE9j7yda)%H zh89_<;UCBhLur2JQBvT*jntdJp8rxYY-KMjX#F$ba?o{FLGLa?sR-_^20c{m|4T0l zc+eE*;Q~Vi1}A}(_7jj)c8>9X*;o-47H*s6i&3O_635}$MF=4QS)W)#|E3%S-RK=b zH&;tv@jz(akxQPB-&yz-5YQ`hIXG^d*P6B2JZ~2xm!Om>G(1R^nAD_}h72ra*!*u< zrBtm~IrK|>`i@@X4g4Bm&};lEKarE~jv0;&#EjHjYnq+?Lf_Ru1Afaz19Ri5q*j0l zi9Y_HRRE8al*?KX{vb&+!HKz1ek~qQI_)b(Qm92D9Go3VD{EKZq8a=D z#()KK@C1i@K6PZ9jBwen@dmyE9=g!A01f6P@I?Yx1qHDQPGx+GjAoAX)DGSgbe0dk zlKrRPR`$jbYeNdvxm?`QhSq;m^Vt=IXkju#hXl3=ld)ucHW>@u{NymvwS4 zs@600&A?Gjj^J%jb0fVf4^tf}o0o`W#Rhu!lwpc)F#96t5V%zdi@jR&?i#2qy$F&g zFfj*w=%E1Yr*pWgWZ>JBmTnm5V@5&qU;!gY&1?BDXm>KaddJJI|gHb zWAF*JrGr*HZ5Zr9bMvM84l5L(uJTRT2^TB#MPM(-Q2o*x3 zxPSjc`^35e+UHx!gNiZE304&c@5noKO4IO@aqC*{Ppm<;?0?{P@I!3j)nfF~{ti}q zt9(ce_GV!5idKCqM2uqiEYn|nBj%%IFdcMsn@Re2$KHq$JFHYD*v|I!_AyLNO+j`p zP?gGBh6I9&0}lHtVUbC3Ypv%c>O_Gli>7pLL-MBnd|PfT7(*4~Yn_FMXYl zAhs;gc6nq&S6%0(*8$*n#Sc_E__W^SXD$ zSQXzkzNC3>$*4*fpg=TuVEJI50*REn`@b5!PrTb6L;7GDSeHJ|jsdkNAU*sG#P^a%L3+s2R{p}|k2{PPppF-na;g|9(>MWgUO-0|)d zpLN*T4;c-5XPCZqSY1Yt9s$(X3VNKF5%V)+Ry}z62u)YI_6&}=Ff2IuR=*C__K}b8 z!MyBWVhcfTE{PAnIHsQLCjhs-e{29fzLk!K11Te?)7ISX%c+B^gVul1SkBz95mO!f z-lt}i_rI#*he`EtRebadE-H_0JoXhpJ3GkmW0d@V3O^y5kI)KA�KJL=mK4w8gSI zm0Hfz*v)VsJOvcadNk>2O7Q4zHKSV$=p+*Kzi>;xokAESyaZu{@_!UTfHK4g%+IdU zqH=Q;fkzmy=a&N-h_-k^Wzec(0x`QRlhtg@k&y)Z{gMXRG#CXD0nvOvLdXJ5tz$8e zw6ZuAyEnPp?RD0&(9tb6P60`z7G%1l*#Ah?X}pY*N)dQJ^qPCv`~ns9tDv6fN4QG1 z%g}OyAuZrl4Dx{e%MUQDDdr#7mE7E1Sxj|HivncdyHgBU9!x`!I|AQJGa%NMK9~Pq zv|yK@PSA~99Xa*F-z__~7F)_O*yrTgql;44}9G<=mOA zYTQo<4h+BsUDCOz5tdh6+-t%D`B%m-N=JK+DcX&v78|&EYz#oSPF}^9I-p4bb+&Sn z$C|vna+rmWoT`%n*u08?NED45o%dPROr}1Qu@6gj3b&x7HXH-p>2fwex>-us{6Ey$ zEZ-PHOU~Ke{+J2W)%zs&8}si_02}W@0*z(@+WL zsM?g}f@S6kM9YYQP^EcmGt`ggUD)j zk#5}EV3vj@Z?S#?XfR6ChCU1W3n~(hq;{t*_{KJHrRGyWXbMb|<5G5j$ynr(PtgUP z%=FK1E{&UQPs}e0ytc4buX1pvrAX$!dlE39d3SdZz#B`c zngl%A+wKOrwu2S_z<(`;*omEg0f5sUi+=!Ds`woBLv$(HSwYG^p05lY-`OeQb|s|q zdt~bBpiGu|*^J^{ifj;+?=Q?%zQ{JW;OCxs`4X6!q<*9`gntPcyc@5&9g(ing2FrC$`nKci42@w(m60aTc+DM#~uB5NPocabC?L8w`7rL-7 z{I47*k=kV)r-H#G?RMAo%Usd++}lUmZ~XB8gCEQ26xpUa7}TR?R07VeJA7`n^*FKt z+ncF83~r%Eo`v6!7D0A-K&aQA*;6OtZZ8iL+H=Gz%;B09x%EpuRlO&xCwKa{tfP55 z4#I6UiEbmeOL#D$nc$lX3;ZTZjJK+k2ZMF!`1FVtdOLSM-ns`#+`n4W{J+_-5wBmL zD9nXo{0B5++IhJ1VBO>*9QNBt{eA1%;MLOxZvYtPGYLsKBq;o`zNHVlM*68LGR9l3 z?&eOakw^|FTFu&Ei8oqmfTh=3S~8&wC|@|wq9z#1Zxo=f5Nu{ZSfT1tVTBa`CELER z;$O)4Gf@2d4XI=n)+lW*;ckeGxGN%b50y>DX@??HF&Let%6YEh3?+30;y`?zd239QY zkhDK}r7Sio-|#$Y5!!$FWHI%9-#9DC_{x~CEC1s?&<|+~PZ;u$x6hy<yW3|0XIvp48UrwX0s^`46b-dcBO$6eodRrZav?ZyC z&8^@~VDb@Gk z2oTSp$?{LP$Do-){4*n}e-6pu{lNrKi%V331+kz#btf{P^wPaJ6X zIOB6^(t)a~gM+h;|NgE9)Jwd62P($HPl7(HTqaT~R4&4Hg2PhPRn!FBU23JfZHszE zMnTBe<|oYc7djKAQ7xfZu-Q*Tn|%rt0^_p_0yBVY5DtW3K`ik5!@=V8QLy-z`R@~* zSYL0>Atl%ca9Qv(m|!~v&4z#d`t`@ZuqXR{HYh+ay#|)%Mnk_L8p@V>=4YMMRD+C~ z?j}I6_4Pui!~iOyQmsORH+NPN?0}E6+DLkN){7r?<<-W?kcTs28;t0oF9pY%Ixq=( z-7@%ff%jL;20d>klj<}eq=>l$9=$6GwAQC-5h%b#<-)AoHxvff$l!xsW`2J3r>`cz zH(fH2w&3OfUWfSQox}vY-N6f|!NMPRm-_)0)*M>cs!EDAPgl+_Blq^V(YfGDH#ftXh}s|+33qeQD57jlaxGLUjvAe0*ZyLEeVtxyJfYY(V3dHpzG z?EcLk70uUw3!>=+Pn{YFr?gf$(nC?cd2QMk; zSBiq^ENfsW#E*|o#+T(@SY=DMl5`3`y5?=7+J)h?wu<5v^9W*@-zqoHXtif1uUJeP zZ3Ui{v<2s0@%u<;wV>^_BOXf~-Tn7?j-gtPSib0T6oi!p(ia|*0?XZkTaaVGhN`fL zE|dCA?b)18ZkpTHeTUkHgS!AeJib}Aj4?eqaI*i{Zm$m?@UUCueWr@`$30qdnrI4D z9mF}M75#2L76|IFUk9{imSLLO5w@{_rOD55vtdMU)L@_fs(~`_>7q*n>X`Mbe>=G` zd4!b?Eu4!*Jh=tgTx|VfrFAz8#nk*V1X=O`tm0>W?1JP1vyWWIgII%S6H;e^iL5-| zGgYNXtiZl1ZD`F(CU6oA)m(v$cZwzj+}tbEOP^QW@jURp6%lZ_E$gO1B)6SoQH7>F zok3A`#G+yax@`NA$u*`g7&@p3_91+$IZk!74zQp>S>9Go!A$E1pnZyOWrOc9Ts!@w z^{aWt-o)|@p+DYQ&grw~i5tgOpG1i|szkKK-|5aeu_T_AQp>I_HCX2KL(VcyB>l_t zw8BN|?Q2J1K1nV0x!STSC8tH};9c}CMr@(#&Hy(b}e<-3mVKlVO9^?=F$_FcVk|UEx)g7@w z`nRquq`XO=Rr(wKU)I37;y#lXP^yFf0QU+Hac})pf{-Zt%HTt>ehK%E4?V}}85_<- zftq083WP^6%ef#Sb%l~h0u=>k3h2zKdF{mZ?tIDQC-61`(W}7+Iy)7@r zReNNJeO__^>kzbyEaDw#}TmKSbpr4!_THaw5BY-1|UWIZ&LBXo+lgt z^L)u!O*;6pOB%Xi7hsqIS{aDnnsy=O;Vtf{^-d8H6NI5*@&4*+t@MHb(N=C# z3?tBSOA-Yfmnc#*#skKdMR~ zl~=Ss`G)Nnxss}rykzK;?xC)s8|}!&SD818+1(GnNbwwjPKruuZa-?MCIE8zd=u{D zIS`jp3jM%w{Y@;gd@tV6FEM(^kmf&-lXtgs`IWUn3B7*$&9`Fm=+xas+s}Vuzza3(93L$3e@bK^&epK{Q zH~#z(%64M+#7SU)wwk8uFU2rPtna9bJ}`MuOkBUwZYkq33{I#w--o`g;@j2<7hcO2 zBLl7CiRaux&slJ!j=2LO#fAJP#=j};ke%AiJbdQ!)gzV|9aO54!fm$@PP^AL7P`uW*4QRzJPkKk~nPhGm%~4!2MpJU}z<2x;1-9E8(a zn9+2pNlQ6ezM}}z_e=*{_fc6|eqrCx4NLpfzQOJs4f@ki##$IP{_fi;CU6uZOx|Fp zD>*naDl4^ARA?ig-s3emUI(b_{`${sZcLviQD5l+y{>*-sJ z;zAvaG7Te8tF_*hcymt~QfCv)4aT%_^nc$8$k^)awF&--cjn-Qy&e@zaKtnN?CMOyv4{8#_}()5u+KbLJig z?-N_Rm;8o~8GH||E;0l-6IfT0heLp^a<0#@t^qQLkj;|a(ty9ACqxmx{t9?L{dlVU zT~>Vei6JgZ^LlJWM&!+VOIovQe6f43U;>`ZBAV&Rce*pUsAEA*CINiXs_5j)&t-Gj zMR1l6{LNWYQOUa^hn}f3bs$>^Abfsw3$kbMfmMdkbGaAp7sm>)lWK*-a;X$C)Kc{p!cdsEOh+enllqkTt;%}=4HIJeOQXPIjrrOIJE8&r zlKNvIkW_P6&8VEb>W>WkZ@N@!)GtFxC_|k5JKe$ou@4w6R`<~fU@lcQISp0l#za6L zyuD=&=F3E8ovL^>`63`^!K9RuioJo0vnA?pGRl0)N9q*(d1&)SK)z{E%H#$4o`Z3* zS9>SUd=BL0~5ymHBYCXt0(xGNw3+8WJn{R)6)^A8+ zJkVIxi4XVo9HqgP$&mNRDzo-uy6Zbom2CN3+$tA-D%Ial1zkoXkj*#h2e9*6rlnDyL_~HEOh)-i z4t*n#UmHR1Xkl%Q0){lMj~*XY8_m%uQwVU?fFOCFlcXrse{*YND}d9y>7g1UJkKSp zgcLX?{Lvzw0aIX35itmcyQmIEm~rrE1nMFZUbb1Au76xtIBOqLFcbf7C=J!DV3`-9dl0eg50zi^s@m#R+8V4qwz zh`BU*b#H>KmESp8Rh4n@`R@_ZXa9_KvOE_!^naV`#DIeQQ;#%lPz~!(3DVeeZc`g> zQ+T}!1Tcort|1qx{i+r78)FU~fyZ_Q4%!Lp6l?|KEUOgt2kPEilG&AB;gPykJG z=<`C$nDxo;tjQmKJD9W2`5c_8h-hQfjk0uvzrudP!?Z-XpKdQ9cBkQ_llVXAF}SE_ zwVVDYcuZCaYw8XEE}^Jf7KOTQhHx%U-#ed~sdVeZYK3Oc;GpS#1OZIXjIVVDwf_sN z*!0iBX|>g&h}Dw*z_Q{#2%4p4Cr2>#gSYtwy^S&aHVY49N?a@3AWsXx{WR&a{NZ#R z8t4P&%+alZ8M0(n5f@MPJsj`hv{%EH)=o{SwIrai0^T;E;{)5U4LDy-QwBMk{E!Iph?E zOZPSJWb8f+tmV!7%2(y*Mva>0VbmRdGR?Q8mg^6&L!a^`?cey+88;qEp0|UKvR>hZtqI zpi_~}`V3BH3U7tvQm1F}qi(7-`_f!_Y>?NIn}{2(2cm&uvzwf_nUGpYnXV^ z3yJt!>M}{vQdyQo@VAF0&VV*y{$L0q7`j$gQ?l%&%^41Zd`hs4{x-48e$ydAHEDl> z+SPI**Ox2z6`F~YSKlZ1gU|7NkK;r-uEZz%q1#V@q}(7yrcTRmC@?c;!3O{KH(4QM zuPR=PR)NMwxSxAAG*1~O;*v7{j;m7cn#YRd`UV_R;1f(9Fjji-#XF_uff@CX|I>vIF$Np+R6@HUQdEkD&J{WSaCJ z&MB%l8Rgt>gDLPI25Bjy2zlWZEIaW0%ABd=Na-iJ;-tSQiQ162ZaX zmI(hn&WY*&Y1;Wp#?)f=Y}5vsy(JZon4tNO`E_-@J>P)Se+{Z=Qs3_Sfae75;_!dE zTJS6ZH((9`&4QWkOnm^TfX=_ignb6CPs-fNDQd#0rDv4ta#e0q?97ZFIvL3*#FgxrX-d8|BCrAf@rz4U1US4JBUsvC?#wnodQtS64uNx*-c(t6DC zWf^v0Bov?t2)DSWFP>dilySp->=#nm;6KJ}){N{;qxyBZ8`VNuiiF1083FqMS?~9Z zU~(HSXU(lkVc`YgMsLIwz2O6p0eq~5F|VuO>b%bOO&gHrvileNZr54sd~VIcT(h#t zlY6E|B$4VrL~W6I!499#?p}^&j5V#c+nmi*u(U+p;pTM)dCPjk(*FixeKvKEt_K&Z zZRmP33OxK$MTTv1ppZwnRH-@}3wV`jZw7(TT#f<5`CNa#B6%GRRh&OhfuJd&5>&RLbyzq0 zwD%I9a#?9Av-pB|S9T3?xXG!Ci?!?`1<2<0!+r6cxe)bhy8VBUS+AN0KkyS#=tjEn zb-Ep=J}5T6KFf7V3-(Ze9!n9F2_9P@{uuZboL>U|COR>frv0nEa!|*aIqoktfNDl~ zGJ3H1g#zJ=@Wd88HRt(ZKLf!L%H^iyI3oVc&AD^a?mCE_5=9V6G5pdv8>ZjJ7~b8c zf-|OlvFLMD$??YDEgyTHKUSX{F#FwdIcLH99)Y!D?rbuzb^zF;1x7StyAj1x6N;Vh zFJ5VTKR$lnR+v_0wCiU4sEc<0!R+B=kfSmco+?|7F;^WG4NfGPMkq)X!rP$Ob(%Zr zt2x2!cj%nk1le|-WTOMvzIi|2<`t&yQUf2RW;%S%LMP{8Ic8_q{GZ`*^P4$f(ZqQ7&!H+Q8FF1D|Qp!xgdM}aLqd4PBm~#iWT=hNNI&qu}Elu!u99hfc5f7x3NX8 zTEb39s{>UO7B}C^4*rl&HMw0_4g22ie123Dy=&LUm{@JD{I>mq&@X9ZBTV$WKW8P^ zwT6&uLuYBytB08~Ifb9FbKD>%91PB2TbsB=czn_+|CBfn^<1Z-z*NT^h8PyG@0g(p z0TTD$X8z|&F!xgW+`TT$&)?UBhZc35jKP^6421#{3V~@jGYgBV-P@Pchhcp~LcCKM zFO#p5Ba&A?DYgkP#KuysHPmmlWV0rdmkfbfSKcDM^)cVan^8~ETuFoz}m^Jf`5 z`+#dDvCt=dm{15!rHd58^p7ODo5j7J1|5zMlQcwvTJpIl;Air->E%0)kg^lU^qql` zK;)7gwRrcr3P)GM>d6xHoN|+Cm-U&7p5IMuT$xfmCq6sYMA0|q|Cxv9U!&$hPQD!&yy^Ms@d8gSslAjNJ1(g&pXAWm{M0-#V@St)b}ny3@iCugyq)HPLjUVeS#J2en1zt^)3hxlh52L>eEuB!0aFr={&5+mZ1oFtsN_I+xn1X!ZtUmzn9ett z_m0(29d>*{a(ZfNy167<)t7k05EtzOMt^mVL6utMacE~TG$^_tz3Y~<@?-ipJ5t1P z8|HO`nzJBx0TJL>5V@VT%MK;n>tV|_eNO*_uxC!vCSutwzm|*lx_HleRo)j-YoJnL zd>p+LhNkEi8vuy!xg9s?wWXovOQ1V=ZRnsZE}Yt)xF_1q#>@VWg-LW@{A<8{5ZA9? zxW5Euwq+xQ^wl`D@2EA1C+l&K?rmQ2oldmhG+jfYbh)<(2N%)~H-ug$bLnZiPNiTw z+e??K{g=X+IG=*Cn#Ri`)jeHZ*MXNLgKiA8d77bkV9Sa4I=>mpWeBo3(P<2vC~4L5 z(8+^ibBuyv(#spKW{(>?SL+$*MhGdJO75&?roYGGa=XdeV@i19C6KS0i~IBwdX8yB zBcH{#zmWNR=t40r6=J0~AYD$Qw1EqUp`KKi)AWoHwJ5}qHOtGY0cS^{nb2YGNr`34 z?kBLhFSb~>_Ihh^zRzWs@f?=olDLun#Q?s-g$JAehpew)sIqI;-iU(I zDxow=BOxt~NF&lngHn=`(x6C-bayvMcS(15Nq090eCysk&-niX$0A)uUhXV3U}B_cC_7NooDq9+S+cO@$x#) zg`ylSNZy3k-yF6e91_G}_@v#LOt!YR{_zRt8cS`LyB^?|t&X61W8ooyq1`GTW6qa? zv4)7p^m0R3>b#1w!Hg6hm9i5^@E1?b$?1wMOTMv5Tv@@bJg6$@I(7ZaZ#nwZFE!gT z8KU->ZVNuIaoLPJU3wQVGiL5srMFqVt5!wy^>Solg5%GjA+#t%j2v?66_3DKE;IJG zegN~rT>%o=9^Xk@NMgOIF6Pal_A1P3?mba8Z#&1-YZ=G>qM*-->C(hbXB`NKsHkmS z@ZEpA{v2~bKYtc_b-O>9E&vN)e~m(8RK>92$29OxT( zoO-Pp!cU6O=K4JQxw3?jBGJpc!2ENY;n~TUIaUOnT|;Z*x1C@2rV&&Th#8>AeFmXH z%^r65Z=-+P{}uha->mtwLie=)NXpAd-PU%_^wgn+_V8yMJrx6wCb8o}!Qg@!`h|vw z$iOf;UA$GTwuMk71d@3 z2jsGzzc;lxY2%;orc#Bey-hxtG;ELMQjFc$qCat`X#1na~*CjF`L!1eUe%H z4LFBJ$-TYO`2HR(n?aV5&&%)6^Nl@r)G)v&AV}%E=_*Hgr0I7`h5M*HCMJdgz2GS{ zwnYHG0ME^YhOEXG6GPsyfW!DHe?6sgSSt5OvBxYpW-{eW+W`agl2P5++TWMOC-IYw zntjtUI5Q-gaQ=7f(-@i3)IY)i(YdAkn0=}YMSA1ul&Fdbo8ObrmS#h}4 z=k4sEbc1E5MBq9FcuTOQ`bI%Swhq?FM^*GFj&nV@v*pZ4l6ZP^CA#k0#gNRF)0Z?E zjh~&B|0s_g35n;Zb^dws!o|A5O~mUYCLEOd`0g zU@hOYtM>l7@B>IW@LMBkSlD{IX8CJ%I-+un2NeOn#xXr2wY9ZNpRuohFrYzGmMI!E z>A^9c;25zN4Dni=k0j|?2+)TI)kSfO3sd{hp&#twuC2<)ISi(8u<#zVKYzC6?{TGD zq!cu`zbST7KU<_HDf`>l6Donp+=042-Clt2$M8&9IJZa`NVUunSJ1S&>5~%zZl+FP@s9W5D}F3JQNVwsepTr;RyU7T zYKyMRTTff9cvLgGF5x=K3~7H6_-EyZef$Zd1zPVePqrT?ne*U2b03h9XzAmBs%bv{ zD`{<>O$g#5w?73@6pWe%{I{J(9i!c2efq`K(WUH1?gYz;eN7oeRAz_r*#$JcpW47R zdTQeb@6;ShKh!R6Z-+h2j>f)pjZSb~*`&n*9u-Ea3?CXz@qBeJ`U|z=G~Wi%o&o*p zpGk@ox5%7=8>bp79BszT{KS=u4LN>#nA z^H+l4GO5WTSI!Xz&N3@-BgWTK^*RtOJQ|8og7HFLI&)h^2^NI(M6ofk__e&ADmTv{ zFsl%BB04z@YE+QsinFw}XcJjnu%`ktXJgj`Crw+r!*87HmDkw*z)PcTYkATq;`EC$ z?p|z4;}Z4qQ4fGL$k5(T7i1_in~?y`e%R&c`rH$=1UMF?-^P*>3;Y&>1U77VPR2iy zQ^ALBR6=wum@vgEn3m+{w~G6-S+1*F1hJHLEU3kVymEc*aFAyAS4Gd|#%lb40A-3L zZ68d)1xw0((5_aK>vF3&tAJ6q!^Gyrvk*nFk~5i%#N)5eC>dA~WPP@$lbs)~g~|kf z5#(_&f59y|$jXigO|->oacDfGGmlc%z9%E13td_3(5)kt%i!K`V_4*)Z=Yo7Fq}zT z&gK>9f&%NktR379sh%nCuX)?Wi}Rl~+NyYtp+S2c1TY}_4(t04Pl7E}5oK{+HxqKG(}P;PgoIs$``Q{eJ+7jG;suI7-dc4b9hwc6Hnqe!O- z>7iN5DVy5`StL?qj2(|O*qV@R5N}Uem?$N>toXJlyLqM4_@QP%fKNdInE$b+b+auv zxM?3r-8c1~wD&rg4uT@wGHPmk2a`buGTcKi&P#0VhRMiV_8b1yK=tTun;Uz2T|rr-Fp9W)*pIf@IN zu0uoq+&;huaYdsPET()Mo?K5CUG*&L zLIusaNZ9d-AtiV{Z8;FQf=~U?jhiQ*B$3Bi4~QVSFbo>s&3%cu57m_Def%R)z#%1nONDI3L^6y zB(}D<3n-1)I6L!hj~BXwLCKL|AjVf<#SJh+Z9~-z?LX45AA3Bdj$>4S9=b3Q+Vsl$ zP!qXHcE9GszBLXuro=+0af)DpPuxcsy#NzB>@g>0oBD>Z* zU=rZfVF!)KvAY$EKaCwy1hJe;jTED%>mdkC zVbrX5!A&Lt{w6P{)OPJ`uHN6+Xm!QI9Xgt71lf-kDCfnuE3XBd#V}BF8ad@ zZXPan5mOCfe0+?w@b%74!%rX4Uu~bG$1q^S4Fr7ckwDly+pghBh4V1?pFY*z#?qYD zpt0UvbdG6(|LC3PPzEWU3-xfx$hZ!_$6wyRVef5$;`ufP-!Dv3xS!8~ zMa4lWzb~OF)q1qut;f@@nD0IaOJoAWEU2?n>|KPJo^;Jk0?A0C~p%FP^$144U0Fi!Q8;kJn+6)9kvShjqPk zlbI+?nGNzxmJb7d_P5JW4XkJXiZQQ?f|&Ne9(9mLBEi`9FRzmEFTs+b64x6Simt(u7VLb2qLFq~h?AS9Hx~xX`2Zqre|68%#Rj63L4* zL%I7rOHW;+qY0nROAH2;h9(zj2)=>3alshXumI3R|`-5y&;{hnFM?HKNrGX1)Xz*xMX z&lQ$74EL>aaMO_epx}97g`M=gn8RMsgkfU%3Rh92zdfew!YJ7TJ%t^Ua4;UBS7J*r zpOoMo?~OkJNBG4j!3WUC%hZ89q0FLUTP}FSB$Xw4v$^c&G<>uu4Sb}l;`gyi+pSxl z=WKR3f9$ZnRos_eSI4(sI#TE@H7XHYZP+eK=2~8%p{4cC3zH-rcqtH_1l|YV1~c_( zU9hehdfWKH>?p%E0NN(Hu*7G#ly-0if=i&%DhB!u5;Wl){{4nm5(plffp>>_C&9>V3VAFa--|q;(LDyN>w}`>1!LpoXUr-~b6mQ~ z@bD}-OiV}!F^<#XHCoD@PtaSq$#E{D%ZSctj}~zmc#QMG*R2>O$39{P=HY4O|L3oa zAb%COb2I^l^>E>6T5V!wH5u1xzT>D_#jo0lru)>hVU?Mm?ki2saF#+jwG8l(#+ zTd2;ymvnHxHXTk~$o%D9Nj}{aQ@;5A0F4V{24s=x@E}h{!H$T8C}mWdGt9&abJ7XYK7zs~uxdHY}^4Fo9^)w^8`m4VmW#y3)Qs^L9nwF!T>l-Ip(&fjPT z;01UXHcy2+XgHp1k>$MxHV$SKY#dm6E1+*0=&1}rVF7kXR!|RM6;e7&RJi!_&5OM# z{qdz+HF~rC1G~hMa zL9GZdHk522n1;brb&Dg{a?==OX9&@#%7R`8J*gcT6*XX`PqfVOS-J!9{g_DLUf|)p zP5#ESS+YgQpD>;;LZM666s20J?rHT#EQ^)rn2-?PwKnfZL3&G zm;Ulv=tf-Ya#RQ#jnbAg1PuvM!=}Xn<*vwD8h>r{>BoS80NDm-1@$Qt_JO&n`9S?Y z%YWnhIQ@VA^l^XmUn8C|rH6Z$1SbBE6`xKQF+(f_5rE~D>GlRmvWxl2)(;V4OAXVA zkvV2~#5eK!9+W6?)vV~e=^*15|Emt%+P$dgE`2!WsZ1y&NJZrGgkc9n0!CQr=g4h>0N>;n6%&b{){gAJ~Cd+rd z8eWL->d$efZ|pc7_^a z0+Nh>lk$Ar1(1}B&O37IBaJ(x2p3(}p8aN1(IRnJd|NctwVuFtty8sea9om^6rWu9 z#K!ix->=@)hxj@GWMe5YsiEf%!3B>Y)8=-eFqvn)@<@3U?ct4BPG}dR2N6HO|&hubm;9@ZSv9|mzamYT2W#usr!;DE2Fr$xwCSmT&r$ut}`Y_ zN0o;5If|yf##&;^q%{fZ7t^fvy?G{kal}8zIQc`&qiMtK(tFLl_Lt7Xs|}BcfsfD? zv?LdD0{ljvi4Y|4_;yo9U!Qo>`^_H(#}8!=*Z_KcD$jLNr9+P z+V3AMZ?{c=A#1Gc(2kW;q$b>F9G71q#&f1l-vfPGYdiP>u(+u>~sL3cx z_T9|6f(8ho4M$o!BI_aau>n`Ui%{}DibI_4Zyy+m7MK5%GZW; zQzC+RJ3ZVgv!{v3o?8ZE3I>5f+RyBN5Cg~5;|ZXLdGS7vgtmj$$z-pw7larY_0%Cd z`-orXW4lPs_d~MwxF+yoBHmgLRE-4l;&qO{Vk78mZoHFkyNacT!JQBESBA4DZe&nF zluKhGb-NIRKq`MXLdd|%P;mfi_^v(xNSQk*fC_wEdZc;C)VL!r^ud5!J|rhQ6-Qve zkkv-5bG3hH>Rn38`U$nTXh3{q$<}ybM;91BNbblGRY3Ph9J34H4=~fr61DYiiu_!5 z)9WCnTAL!RZt@^RDDVt~Ks5m&@c*s)T0(e4&%ZUc+A#Nh= z6g58sehw6#$S>`uA*$?D*I4e~vE(vQFv68={nKjk>0Qdz45}j)y;|XiiBvs$`jCjy z(k~LHZfIW&5!$bR(=%@9)v$M#OjDEiBxjre?lT(tKunp!(_dP68P4)rvgqsxI zzUPNFdUcxMsD9#FY0<72qmHmbjdp{sQd z2P8NohQx&Jhz`t`jN#E!+v)dEalNOIVTpNR7%?;4i9idmge@V$PS*9 zNBwQm;hJ5?MQ|Kk@EBQm1*Z8pKw*%~%gXQn0oDR&tHZ+Sv&rJ5U8oS*I5^}D45$Ej z*a5)9K_d2y;^6Du%C@y`oGydoE8;%V+QkBP`Kb;-a!UwML!K5jbaIla={-5I72m-F z*D>6PcVE`{%ZY7F%Jeh+u(ji~IWs6kO5{zu*#v+}Hb%jWds9d}GC%U{gW!*LJrJs! z-_|Dj$>{~xnT6CID1RQLP1zk@1qK zRxJ6_#Us?q{|MLgPX&>B7PRQk?WCOr+REJGHKx8k+`GfGc@s8v;9KhhMjYl*#d%9pfF1F)xoTD{RJ$uYxF{PVFnUfMf{A_7A#gN)U zX8scM1~0Gv$T#*)V{~PVqVjWpgtLzZ4ryMPazTE) z9|=lzXrDn--Ts^FAk|8vLCCTAgZ~8&OP@9>U5iUjbCLhyqs^yRqPvDoJLo=y4Kl0-P|`&jq<=YGH`Z!yJi{HVj9g;4)f_hu9DSNbdIB4kRN!mUUj zD-U4ad!2l*JLx0uQN-igWQy+3Oy86M01m_djbI~RD{rE#zaUecV*YDs>K+tRCc0!o zGK}!*`&i>=1s<>WPOPQ5(?*ZN#-fDWLKprtx|aYBsf8MVf`ogR<*Ic09^m_X$rnJQ z7#7%f?J&HaEuntz;2?a&%aGB8bKKEsBI=>&1iU3|V-?Ec97&C1hGfkiHdR^?VKGud zC`Be7 zCqCXxF^mK69Sqp;(7pj%E>my#Lb{E61{*D-Z;~0`Zl&Xn1(GHWL~4;CfrJG`abqu9 zXn?ppzyZ1FQV1%LSOnsKZ_-gMGkJP^a^hQ%7v|Tln?;`HQJOG(TXD z={a=htE~0DUyP_TV5`gZp4(3Pc0|U)&?OEe5T8CveO0utk|jx&LC_k@jHGn|H3_lNjhH#9Fs z7~|iTJ}OjXr+wxWH_oLC=6fEEe+ST?Rgu9YuCyk87;i-VCuZ zY)r%*?D)&^<`sIL{LP#0SIAKn^F^02EV-xTX5`aEva%?h8LstGaqtRHWHA*$}ADrDx6LhUA z;8-l9{>$}N1aSsXRgd*U)lyE-b!it zf2DMs1;1iu`i|^hP;CGaR4CLg@75j01r-PVv^gI0+X5*3p>v|abEZeQ^g_%z9%o@} z!-{gwdC!lzKt^IZS>h9KzY;Yxmzr{rO{t>z!LM^OsaL_y`LKs$Nd6tKutP0R&eBWx z<2j#g<&-gCqN97sby@4_m6Q~E#-0qK|ApF16Q!W^L^n4Sn6u9Rg|Z165e!HATskmn zCrp=3jno$VWjq$w0c))9B=wF-YFyuOZCmg94#M9{ADO;ArIPZC>Jov%zgvJ1Tdz zPn<+)IngvriLI&8*_Qi`qwj|BJ%qNvBI^vgLZ5c+vXGI&KJFDo97u(o0|zsPt(wE?Is2i=Ph6(SGv&^x65(T~IDB4V`#quD?5K-h$Af zX77WCZ&jr77XIy%xA+(SO^eF-1{DpLp-_yJB@L~hav_W)CMSet>Qf2p2vi`VM>C4e z(WtidX{abDV9ddvQrA@LM+o4_e96olsAvNLS=_c;i2x@Hj@H2<2mbhAPsO|@F6xz4 zvk^N$wr6U}8dKdM>3s@GZ@U;x)22E%4i8N{U4cK6JqGMWb7JfHo{reqd`r1L1Ok@CG_&+0K6;fUO~}oGm5Uu-uq*yb@Jpwq8-ugox|a^@M@3 z>*ZqBKYU@w=7gFA^oqJn6Jq8ipoGDh(-2GN-`4hl6(3ce2S4?_o!IyBDBOyTbuVt> zbZBW`@K};H{AZBflxhDTs5mXE6t1|l(5D;nz?G*AKkCc^#6lDVxzD`>{jKsSFAn#K z7s4k848Lnm9Nw&D#RUuk{KwLTA9>OtMNz>pV!ywwh*1%SDdk#+W~!yhDmYgis0eVOUh*opue$KcoQpB@XvNo1T*@ws&?Ufz%q|>) z>o>IP;l_Zc`?|`Mx9%oboGsIWVPq_$rU^J`^EgKl_qAoay+48%jhHS1pw^hG%~ZX6 z;xul;K3SxP3XF@FxK<(Q2u6#nP7+QJ>Oq}rX%nd!u=)0{meIYpOQmdjQ3~my&LUVa z`~sM2R%FWIg;Xwu<+!^b2n*$$R%}Xaolw#$zBf`c6gJ~ExqIqov;}5u^)zZ-f$4crl6?d!yj9QtJ2d)tw+S@Q+`OznKnD5z3uQs7u{oQ8Z(k4 z!coWogT>_5)krAj3i=;r)y0dGM^^-pV>F!G_aSBfLPdl>m2W_K&aL>GXW*kd$m+_P zvEf{u!vz=<^40hc3P7XPUN3AHd$0Ga9FDO}O6bU#+`aM4-wYUV!%aO~mTfRM(tOp84hof%{?@`5!TE?tdX&Eq;WLG@fHukK=5=PbFG_jaEjE} z{y8RoK^dNN#dDCYxeY?_dEx<7b9v#3ufNb{VyPIWTUGrCnGHAlLe&>Wpg5l9e)~UI z_DOkjtSlSd9zz1xitUOIavr3xXEiII^V+skX1{LL^%JUB8xf`|q&*pq%(;lhMAO}o z3j5H2HMHJosFU}+)V)pdbyK7F0J@PTa+uV>jAP$1r;71MGTN3-5N@B+a@uo+SGZcZ{rY8f9-5w3h<-WfuGjr~-yHc4 zOh6|Il)D5x=Gn~OmqRg-q%yS?XX{8u@162dnW@Cq*GgKFvR`{-Jm~pvAH3ofgHmx2 zfNXp<1>7K9BMsUFEuc5gRz7C=8z9YcJHNUz**xg)|D242_a6-3ullVwP_o1dNXatEYkF-QD3nt_>!B!TQu`Ak zvEf!-sCL3)l2Fv_;hsR-%$1`WG7bdosGaD3=_!wfa+5!XMOSrmZJ|oE;fAiZ)+m2WYzK4#Q5FUS{ z7T8zl7-z)XX%sVhT8{F^-#V?-H*hhr^@EZY9&LjNPFWe;wiyzUjGMw=oVrv>SxE#Q z%QI@eybFENZ#aaKxEHNASCt}!N4f^t%aH`2>xB#Go6)&y5tk3 z4mdf$o$2@zXbBpZ}yhbfWDCO!n~&uK3wssCJlD}wx{KFNLg1gtG?e9+itL6 z>;KG@T*1x~NHQy1KJ{YZH;y3-`nRPrKH@p=iqCQQH?9vyCZOyMNx=YcowoK*DnKP~ zbmypy#k|jApaJdyQ0r^gLGk6;!2Gv=(t9 zkDar^c7#)mCX_j|aJ;s_@1Zu!(QnTQxVFkXpN(InUDM{AdF`jRYhlA$zCefc9a!{p z$d-~e?M3H=PC4=bcuhzvzig#pjAqD4j{?)^h2pWz%R43tI!#V+8OU7!k@A1dyNNPX zQESJ9($pxAG4;afTfPI^dw)9N(82ompWN{!6`eJHK$=f*@D(!6iJtX(|Dp%0=UDkh zjNncV^7=Co|8&5S6Og-1$frp5sH7gRWqxoCt>$hw(n#2z(S>R(doHe>3 zHzQ*Rx5*MgIiGK1ObyvGH7MijMh9Qv_6SZedw30e6ewVJIJ76>gAb^>sER~j7s6r3 zehgVDx9RfBTd!Nbvsg@gz9q_sTGS7}3S#&_0XLdA4wWbcP7;MM0I-TNQO_trGED8Y zvH1ZR$i1grBV>{Tjp=g#&*S_quZMgu6F200C9pKD&Zgkl(~PA%U0CIer#wP!@(5F= zEC#q54CrbEG2mCTWF1%vFXKa6sIDMq%6K;M9nwO5sHG;c9Y8yNX8-jz3)aFrPw5Se zo(@w-Y;4Nig|xBq_E)+4AfKzmg`nccLVqqH^-8`Jpr7EEjF9nTC^J!6yuW?lpe3od z?)X-UT2_n)-ElY+_3`U#)_NtsMuR2=7qb)Qwcnf|zZ0lE`+-iZ+66bgeX@Mx&3Jr0 zQy}W=M4U+UD0`*A6pVx3J( zGMQMpec%DMnMu;+>5E%ys5Re#+EHye6zc?qUt!!!z2JGP-g zH1VW0kwJxGHMiHMc(>VRU};TI`D)JgJ$ezSNj?yIVb+W%AXKft%{37*?GYo?JUR6U zVLA3PDTFx%l0@1mCm@;3*^* z>q`)q7!V^jTBe=A-E3v8+_NRed-lRSm!h_gDessN2e%Nj z@v0)kK!j55@j)3K%uNa67O|#)Pdn9JZu_%QPoAG{3J;B`Cl09P@r4t ze+0iJr#+J=v!i`4&HyS0J$?VS7=*0mL54G0<_9n`Nc76P79)4x(MLSbLo*8fxNBT_ z7xKP>IdDx{DJJT`8EE`mrR`CEY#)=-kge z67)AKkHH|~dgD@`@Oz#~I7OB@N=mozeLKKUp-dn@U;1QZ%<{pnRe6uNT}K!x2iy=@ zoyQD}EGEoFW z3^XuGB4ZFHUR|F0ZT9x|K6T9pl}I>~#$^1L;N2Xc3*nM(yz)3@!@CG>)A01Vd&OK> z`3CFQ5mBX!0G`+3nefA)FM9}mS>9`}v6_KNxZSedHH75w0Bt>#HFF;TvY_gYInW!& zO@l3=T;3hgqn`p0i=nqMWpWx#aw-a1T{I27iXOZR>kRFVpT{)53~Y?#P}q&aT3!y3 zw);TWD!@&Ni$IS2;=l!7!GXI&MOtgS9#f7m^5?Uy zu+(5>&R9Qvxmk)DM{R`Ci%*Gi!IExq(+J$7v!FJ3;kv$lbIo{hxQUELDx*?tde_F+Z2t8k9e_{ul7@_(bIm0FVAhkj`>>0A}Ys(SL$4K-PWit` zxAca_9X|oIYhLVm@k;?Zib|L1GLH2;g?Yv@U0+f<1-*j&YP2Go-`e5!PDXD?Tjp^) z!BGZppZsU?fm5zepc@s!)T+Ru+AM`7Z0(yZgT6s9wNB9NOMUt*qT8)cmtyOmf#V|@ zjlCz3uTX{Z35B$Np#L~dH-sou7USc$i2(cu)oL+Fj!fyDS)v)|<{$h1H$b?#hBCq?CvzdG*M!TW@8$s6uy(L!aXO zK&qv-rYVm`If#UW6%`UzBW$jkUPZ-5g5(;(PJ(pHWbla9w%f^oI~#X#aUs{$t5*Is zf5MKAUb8G&JD_WReMjTnU=pIEeAmY2<|n|>D6v=+8I*JLKLva>xX4r^vrIv(qu6+o zhgy{)oNf_7&SuE`TX=KM3f{oXx`fVGsZB9-5&(zCurFizxIh?*m#iZFhn*tu!RGA zj<{maF&#lJtLsPz9Sb)CHQ-o4M3?P}_1UfNP^9oAwo=A2)Z0D8o^VSh~fLp zF+rE(d+l_mj?7_W0C}xc`8rb77Oa*Tc>InBkONf05ZJ-H4*rJ10nR@``8~ z7fw5>J(^mBz-Tro9P?Fd2SH}kZIJ0GX4TM1FBHrC)Fm@j(7z)b2k??56gAaeuvcAu z)JhF6Rti!lbUei3{kzR5#~EukXI^)%?{LsTg*qvn3WBFuMA$jp9UgbENw(ceub}=A z^p&L$!@*YpoQ6zV_D`$C(<82zxj|l}ogQ*XY?Kfd4QKedF0q^rE$GpSn@zqWOmeNi zVadXZar|IDSEm7X27)v6;1SHR_rG*Fz*ItRJmf>d^o+oN4dmr9bfKK!LeE*v>dehL zf|_+cNXi2Stw=B`h~v9UjK>%TxX35imwMm12!nmo75ggab=zB~nM zNI(V7;R1SYFi`?$5{0V%hyN_;xnV}`2O(3J*B#=!vM z8m(#2sGsQZA9XMD{^@rTd`nSjl+&)LCY~QHQKTxRGB-4{n`Yp8*qKYLmO+;i zCP`qZGIS@~VzR}#W$_~`A)35$f!D0b_Ok->H^;jO0$KZWD4I8C{{UcrPc5ji9^vU1 zKglZkP0PT8_j<<_B=DiFw{`Ga3h4(o&hjq~#d%sK*MIsnv!;CZK2r2;NyYo9uI2`A zSpZ5YJlw?7v{JPC9}bYfN_|4zNP=)UvP%e)H?+#Rr&Ucni!-@jCAcaE1b16TgM%^Q;5t+B>YRMy|U5AYd4rCk6V`{F3g%Pw(;_0o^oE|{<-&#|WH zPD_iZ9#Sz3`Lo{!bo+CiZz4^}{;Bt#FG_5NNvhv+n3@sZFnpM|zX!)TBJvxMfW4-E zSjL4QAU|(Ij*HiX&jJZVpZY?uuwCA;p#Nhc9=pJk?I|iVM$NL<>Y*n4MPb7=CBoCQ z)n6EEPgJkNW)2)NQ?s&jv$7KjW-S_1_Z*%9vWRh?iiooM8T&{bGR)Eo%4ZK6r$lZk zB=t=m^nl3pVNRfP{^yge`!ERzMrM7iY32F~!|N5f^n&~WXU$4>zuW@);MYc-i!L9& zeI6E2pfS!(OG9V-kfKDxOy|nzc(D7b6u`U=h~mgvdFlmCne1Zchi3I6=W{;{=Ed{bE~OvqwFuf&IwW=)BlhN4G8Y1 zMYFgId;5K?MrdX-jCZ~of`AKbC@?(3Kp_XOe(oJ;=fOttXjjq{)H=VGW{x_@A?zDL zyliayBL7nOxz5FOtr`s{vlM&G+oNz>PQoI>1Usx4|+Z@}kt={Yk7|j@~z84}W(2N-ojX>OKOSly302V5e81i7)Bz?4o z+r6`{|5l|aOy<8g{)8po?W9>ngpJTCKn3`C>w2ezntf$ZwMG=mSMLJebW}}2S)2}! zQAXV^&SbZtk*0btxO|mJv&*ByBng#Wo!$)Dy-~ptqqGLub^Hdm_GCqT!v^zhc5r+i zO9W$d$ySRHZL1oEtMty941`l)(79)W3Y3GBZ57O$Llh>{q}| zkY8k3=vCc#7DI7$-ii2S&SWzqNTzCAyAFUMZqqacC73XU3@i|qHpA0WX4;sp&NrZY zK&Xml_VD4)*0nbgR5@cdmNL)l%_xqmdMQ{GOjLuPR4L!zty=gSi%dURB|Q+2DBAAo z@U1#DIwD`@jh$-lDXDzk5Z`)YSE4!j>gkHA=Bjn(1~06Cl2ojYwJN*$moDFSoZ6Rj zQA%ZXE5q%5e{ac&bz7A%93|OLhA*FDJMQ7a5(9g0PN z>FT$GSeJGgYFmwDhsXp8itls%?2}&UbeF`Q4|T##pB~ zO9kIkw<$L%!0Z@nj0#`9u%`gQwkpZp4m{%f1pg92E`FqR3kG)R1pX}!v-P`Q@(OEg z9ZMe(#>DVh1&}9u|7@KiH8am97;Y0{A!BNcgrGiHK?IhsJ*=qfFHB$n<)Nn4GG0P* z>{CrEHH;k+w7qL_`cx(=j~eWmLZ@!LO*8QkpftRM9ed z9aVVgRb|9+lnz5(o8H+!wxZMI9;C>I+5hwitqBRXI1>x-xZKV9NDunnkGH> z!c5oP9Z{z8L@}D@jm)Cjc@wpHD%G`G^t1Dd7v`3QEJ*1kc<}Yb+-J@KGhK3?Pj)7j zSmatyPF->GL}+st%&ViXZSTOk@9i?~Kc&l?LCi9xAF-P;atXg=W=~ascd3 z0B4>pA$oc;Y}Wgu`f&?nGdE~@xaV$}DWKuhcQ4J)C_Ps|p1Gd?N|h*VVubAczGw2$ zVnQ8L7K%A5v&hVq=Ek*uM1JiS57$Qv=h1pbb4zhz?I|L~S6T&=bM8?~+1c?%GhHLN zq=&G8L16SFuYeAG9{KZ``gNVa`@g)a2zr%B&=*;%{ra!lOr+r9aO-30c`>^m@VzA} z6QI<|=C*L9jfGHZhS~-P;wb(NtUQB zAUgfPgw;)qGWH5A7b_k>M9ZZ+z~WH@i|3n1T>ehsquv6P>9k*-_nyA`q$9JakUU_m zUBDqWJtl>zlD#x4hL!5aWyK@|~SsAbY@cR#QVuRHq>Aer|*@@VGC z45Dj9zM2pugh!7xLix7oKYZr~&X(jGP(NjV^|$);_9el-U6tIpNw^k4q+BgBqC0{G zjOsAgi&oUWch^QqT62f^C})Ki23rT-z=Qwe@1V&0pDJeVmlH)90r>*dm1lP1WduPB zp$;(ED;H@7^K2Y=O=Y-F&Uh8ZW~uY8ly|pS4q(*+SvqtWAW_w{lDWn0YZp7O7|#`6 zVfaZ3O1k4`d@Ot~SN`#7Si`yMXo;J&b$s-RV>m}OB|WM~3bvm(fp%MRP;7zn_HLt8 z1;2fPqc=V-XE6qCg%NGm++x?oY`RBjh)Z3qqX6430t_2onUlIY9|!S$vF-n81K5S0 zEfj)6scCCgI%(_p^BW`<&`ZP9xdv#H$4fXfEx0g5t8DzhHfy`yv60Qbq|(*9>wmPQ z2Yq_4#d-50*eVUL&gm$x)Ext2QgQb%mz`>jTru?*^G0`aVKEv`E~r<3Z-~Td4c?*} zXWHxZq@IxR{IKHNZLH{}cIY|0=o<-#B@#hETA=@F;aP4UDCB&0jK^!ft=_G^I>H6& z2xv$^9bbYnsX|mp*;7oa`OeKO&la3uB_P!XBiV{sQ*l%Qk`8mIMzrgbUA-ye>k@Mf zVq$2BxmiW>c~%EES%rl!x$G+ZQ%47EU#xB_UO0Z<@zu}nUJEf~me$Omr8BW!pJXWx zzd9E~KKFcVYBkF>Ae7Uq9((M3^vTJn1TVQ+_hmngl6FPj?NfzNwY8dJTmyRUfsq81U+0A` z)vH)DXT7M!z21Mcc~}Vhtk2%B{@B(@cfj1hV@ReoSa@}q{RFM8*@OD3&I%`ZB=~-r zX-2`hTZGc&1M~OFGo-%`ltXhO9TD_inkn=z7 zLaW#<_lhA6@O=RNYGAk|y8hu{N@ zQIYl|F#4nu7m`i5tYF6CCou_n0c2&F{~XJU?!t&nH+zg&o~QjROHnD1m)vbsN3%mb zT4FpM>`X&1$(;~pQ^WxcR4tdxkI>`|61--4X5VURJ@by=b^N@nN3ixc%pcp|-&cvx zM^XxH_lNYMtJ_WA9@cob;4eeLJBjF!!l-h)mDgk`p;^Jh2R`?bQY$xn`-JStcx6E> z5cgB#f}n@AYcHB37Y@%-s6J+zt$+;Tv+}iu#Ma6VG+VWR8o^a9yD0MArbP2M>J>)i z3TMaE6b8 z)~iWcla=H;k7{etWx~I)U z&is;z*`g=GpoLff6*f4JsO6Lx=aqbZM+Y=M_dV$nR#u|?MkE`jq0>P}dIuJ0aVmx3@X6o%!MlY7O6mY zDgFDBAJ7PZ>%WsZ0I$xh`0Smnuub(d_4g*|eH6ph#2Y+cO?U@(m}NL$o`47s*E`uk_h*!R=Ilfc6kK_wAtA`&sR%4T6ezO!KZY4LC%DCFvvL3-Xt2yH>c zzH$WTXnN`rAFBGP+;L1k zs{jnEm6k(s$tToisX;y$`p--G9B~oR|HrlS$wIEZD!X0LG~u-F2~fL0e9&|t(DBZ9Ye1t#vj$g5nll#50L62tGX=VDQvl=M|P zmJ?vh)Bd@=E+!DcO-5&{nU!e`@zQpHFg2bP7jk$U}PC=*p2Q<{L0Yf1W1^QNT zyB^U~IOuzCh(t_JFBwcMd3hs0x^f3FiXN*UwwgKn3&loP0HCyL-jkrYUU8gmz3!5P z(oqkG#$%2{OzY}so0U11v;B90!D6d_FrNq+s9~N8@U0AeBgZQtMUY7!D13?Xs;UEvrKq~ zG`^4UQ?%{|$HDm~et6SvtFVpSHTE^~INI*lnwta*?-oJZh2Z-YDNmbB4BVAza$db8 zAM8YY-Xj8JJP$?+r*v61Pd%%tZ@c;xVt1LGR>@F+Py(tTq|kE)Yqsu{D0p(*{>7pIrYWzG@t6*#=|W zxSYEeu=7v_sL>|au)9(++9-w;(-%B+omr6dMur0Koz(R|+ zU2BHuF|w(i0ve!6a{>pvdFcQu4Ef?}u5u;!5eU}2Y$gzfj7B+^&C;N6hZ%}VF9s`-kK-lu4P?Z^%@e6O?zcXZ^1IC> za18z*WpBY&RTuq>f=CEb(hUNFAfVFSAt)UZ0%Fh|(i=gfq)U{P1_9{?0qG7wy1TpC zcdpG_|9kE|=Q(@;*4lH;ImVb{{6Zf%SFwfuue|W-EqoBOyCB8|vpfKc8Uhgq;olH` zXJ03i_2T{(>CkiF4 z1!R>h8jw}QvdbPJ@T?GIZ6)WfR;kC7u_u^3c%4EOKPqkkKgOcxVBCoa#F!ObBm!^| z8a<}wdE2oPQv%`rF3xPE!=q3S6(E(Z=TbXAZXoYFGNN~^b+G?Jls@uN{SgnyJxBlB ziR^nyoYtBV-&dQL4y~3n-=;5*v;tjlt)LmnT6U&f0mp?lxtTXH1JW7GM2TI-j7TvZrS*^Ay z#RJ5zOefD+6~^i#;RRdM$2T_J7sj*8=+-%Ez3UFQMbp+;{7CgulUn0$0Qz>CAGNF8 z?ZVr>1DS?Bf6sPbyqlB;gzdz^b@TP3uo0Rx6D|pw`g0yv)83#W7;b*`mVhhR$?X>G zJvLgUP=s@YhA+&-TfNg`2_8Iof5|9__P*~2LnSYSm=Nl%g34(JM3>y~3?=jXQ(&Pe zur$qU$?ikW|0C$_!T6F%eoB7CnmHAzllsDptC4>e+{&>fQtQ`8tW_j1z_YMNW z!NI`;D<<*ZX7Nt_CKhNM)E1{7%sg{uncuguub9F2^8wEEa*8M8FQ4Fqq zMW6TA>4gXYrUGUo+@JrVTI%`e$VjYCnb{^<)zO)*>247bs@ud7fvm}Ke&$Nw``YX` zpnYugbG9XzLd`?Q#pClc|4kr%0VI#{iJIbAa!Hg2_lmRYR&T4kN#Mxu*;*G;q-w>D zgzc#Rk4g36r`gi>EUjN|NPEyJ>VN>rv_w-fRtWfGm2l$UJUfwkPD^lw{`nO8My~-f zaj@e=PKYLanSS3F)I%Lu`Ai?{p+T51plWG%@(a}-Y;LENk{E=WEry4hFg!)qzY@Nj zEf>uUDSP!Vr{F6lEb=XZ(K4nN$panvPT-?`V?$!sMX5i4*C1U@*fR3Q%yG@KFxXGg zJJen^&Aa(jE~;%4(Q3J9Z{6+VOAM7{Vs7|a;b`F7H?X?_d5V(O6V0=Da$ZFuTT zo6Ybs7Z+C_uIG+V{3h>P%)(e6zSSwWt#-49mt5K_mgejPL?g{V3knNzqo>>taS4My zs&!76AEG$)GKnUcH9UIZocG}vDGD9z{3wVjKuhy)m?Ev=2mr602H3@7^Jy3b{Ir$` zm9`{nI}M_eP(;4*Fch@Fk>Urcs~@6oRi8Ty0fUiT=^{ak~Ly4F$?vV_v5$B%U}MbjL< z$?-8uY+P*-WWUj>ofkOk;H_6W3fu!b+zy5-cG?H7a#zq*Zm9!7ZFQoH{9EEB$&HQx zj0)BHR#DAAivWdi-)P;EAGZQrF=TQSGn_Z>lz%_rt*>qs1x%nm@%4i zQ%H~3o^H57c`E>HUK8~?P-(PX!@W|7{oX-3CCqxLEMTQYD-zoP6+(XIe^4Pr%l{`8 zVo&hLod6lrd2HTvmV!ex`n<}6N%a>aVs^8R$9=i53j^|CChw1b$@sLZ3*x8OqbFlS zuZt*xI5#6HA<2Sxkw4A$Vb0WddZoXxe)xkF2Clu2~C#Z~M;$x#xp}&^{=)|b&>aw2B+rd^|_nPAra8%5l zdE=OM8ULJT<=B$<{Uh|+4)8Q{oN>jfp^qv8ebkII3zPph$T`U^oB%{AIe=qGesl^@ z+h3@mJJ&pyDmC6;6&Yr#&%wqpqY2_R<4bl`cFu3vXo4fTM2ogdKx zf9Qwoym86?Ppu2j60cj>Q6)6{R0Sgn#z`JLAO;2$^wzFy4)xV|FXU&=Ghd!A zF8{X}j6E|&CZq%1@pAyCVFD@353HU`GOVkmpq1(h1oh)WUN0$hq{>8JrxgSH~Z4@yc_HM=sl z<0eIYj3ZWei_>j<?%Sp&q}Sf}DKiR{(+0%v~@>21&sen$(Upobz6Tn3kDsvE;3!+u80f-=O31 z;sLaJdpv#$no_$`{zSN701gg3Cf`$zibVv`PM93&4G|@ z_rwm%;U{pXNw@8&{OGo+Nr#+Fw!F=BLYaX$CJ`dFofeOkuW>O?k}`+Ux$joQl!G9c z(P-{xFD~A=en=9}`^K4#+w%&?nCcXLvgF;izAI2AGdWzF6XNmG*$v@=ch4y-jXtrr z6n`wzBP?-xe(ENp+Sx6GqRl2#r2X`@phtJ6Uhd^jb}#XQ%)e&*Z3|~jmfIC8-~LO@ zpvAp7&dr{>e`V!#txIzTPXu(ZUInKRt zT@Qt)f{DzUbO)z6szfLYzoGOoB+pcyy=@SuJSa+zMTVqqi&K!W~lPr(@;~|~^udlcd_f7u*#>mT<$+yHL z`2+E$cnnETR=}hYtANP;C>f(mr%Litvbj;@KHf@70$nm*(ck8y4BC*fP7W0wM4??}lWPa67OIhz}ki8=8Tm9Y!Pa zDin+T#C*=NN!B=ISBO2POMSwH~7$OTw|pA)-fX&NQJAN4nmb&!D}Oq|z5BGc$Mzw<7p zMvGjG?x6}xOj=p@oxkLvejzir5RJ+z9t|QO+s5xcLdw>TP>AmbUD2^?U|epBi)4cC z$JaRDI%0_tE2ibu?Sq@{(An~?uZS^t?&!}SQV;kn(=SD*LcW}JyE;XrFy4gxrytDX zew*x@iZ{~f(~{!HGW4vTL~TkbSw^lDc8`#HqRW2-(W;}tmkPj2njf}$TGN)&jE?cs zx=vRE7_~qaC=$hLp*jE%BQ>d^j%b3`)RV=*l8OXB^%5Rvx4Ujk*Bj_jJbPO-_SUM2 zQ}+4j@W0q=2xB6ut1dmvDJzO3>F&)qXn`ns0ztuH&( z`eA9jq$TxM+j;2UF}Vdar?f+zDx^byGEB*tT!XRO?FRuc`R2&loKtmnaWSWc2ixNP zUo@4LoZ4LhYfnPo`Cq+SE>^d=aAiqwT;TsLO+`h;_3)usX=$l6j2h_TfZg&?II+5M zyvscfoF?n`d%Zd<0^AIqWdn&T36|yBzee$qXsPr$T!hUxspU4;_qy)=r4=P=k533~ z7r+mL6uI@(5>M4%=hyI%A4CZ8vSFJ^+2kpL&Vl@-llqepk%hHR_O#OFgy^#~bkQ>! z@>}=LE{ML)J9s6y*J>GfI6g^4M6GN^7hie3=eBw9Sc-LB_9 zJXAQx?WZvikxK`8G;ZsPgu!~dO!mh?`1xdVQk02D@TK}9U^d@BL( z0fOf%w^vj05ZYR0QmL!(PJsljJjXBOdfDTd6Z%!B!q!O#!bC)oyg#ksKiTF49tue) zT^zvWSl*DWzhQ`=Ucy9rNCY-n9sq)R4a{7&FFq?Zg5({-Sdz^)DU)TU3i8T&pGSeA zir6XG+F4vROQLJn6>e?TDXt*UnUH@dr2;_z_@`KzDcUfrX=Pk18$quvK#)aH@{1|NMUSKr--&FWRIt&+N!2@ zjSyk9O2aM~fOJ;eCs%wECC6?sgunigpc&#dH{)SAHDa-;*y}Xs6h~>qVf~%Rmvm5^ zk;lvKzTlf1%9W=dMkwp9vo5Ja!-t2mH2;szpzv#MK>La8%XTp`a9|@Ztp(H#fHm5Jm#UijlF}vzO@g)YHkj z6INjM*~u;>`(S=ptp88ebB=+LOzYNp!l2Cax4k!^--HVmwiLo=uiB&^b}+J=Aubzp z8xrgbkSG;Gy+`EoDI_w(4AHoW0EFc@$W7IFZX4Wv7l~@J9ieUW*&hxIy-B}7ffM8- z-lu(5akQ+JU!o-(^mn6RTAw`pLnmySN-p#BKBZ@vwye;*$g2EB(iz+5S#!=(jj?f z$MwQNH+1Tjr7%QOTp+2)wnhAo6F42&b9?LK{!fQn-^&veI4+#ZA>n;9%paFiQit5S z0P`Q;NFUVB%wCxs2s)R+lDDkhw2&CLh#yv#(ayfIz7P%=?2}dP1S8hKTi}J3;N{6s zeMju@ul^d09E6~~`yB6YC}&rG9C3eLdCmPdToUb?c+6nWWToFL{RRpIlKCv_tBs#H zr=6_Uj*_cm*C=91E@DsKSHmlrt%qjBwrg%|#6d5zaDz=wY!w7q!!76fI9#DJr_6D) zy|@mP>}u3(?=r|v5b zn&6E#sG08TJ3_fYiI^U`MoE?<8gBMUV+Ey%_;1dxF`WHUe(`P2_aA{X0>#2DmgSQ& zp+bB96&^jPTK(S`jUxse%WI{rH{dVU4k2mhD48|=2~KeiE2PahbF7GLP$m&de!v|@ zmoTbs6}^Lxe5`(A^MIt?dE$rWEdgJ>vph zwUYt2s{i#BN*B!k6t@U*Z5Ylt)zsea`8xUb-XtNqF;F3vGavqrUryD7T5?6j8#%Cf zzB%|U^WENIo__6@AvAE}lrd`ZTIk9!O6UWWzm|7CE}wnt)4TQ~ftoaql-!gM6~q0< zZCV2$qD4qLi*gzu_7!)n$000zAaUYek-rNGl9>+8-y@0n-Z6wExl(;-5J)PXAgM4j z0Q7m^aK3{m$F-)X8mf&B*^vK?j&9obqQv%(*c2w9K{a>OY+VoaAH!5nYcf~TmtkN2 z7D^@JMUq1XTWJd}div=Z&bIsehuD4tdFb}DhN0(3Oy#j}%}SAyqYl0NAYH@1sa8sE zXg8pB0%V6|ubnS`N;ZA*0rlnW8r<81S3`)T>O`2+;d(Dr^oq}NyzJS8{tuJ;3H7rA zs%tIh=5Fr>vlGjP)`5D40ual!NC6vq?>#XCt?Vw)PAVfTr@n~qP{P&NNO-6oj*x{fhW2)@!K2*onFRkB z9SHva-l<>nbi!W5a)LPYQ%{r=Y~6($KD6RNCo|80xDi=*h#eLi$aI?t8IVMb3kWB) zg8+P6bFJR_JuCz;6PHJ0byg8i)dl!!>qQt3jPe z#4s`4Qzyrd#R}R3N0t`(P*ZbRI_rRSu zuZ>$RP!#w?u4h<&1$xNI2Ve`dfs%P@2%+gQSi9!T^udqY4rZ2jT`1aR7bOORPRRfu zyER*me0$?Cb!JXz%aUh8Rb)jIKuWD<9XACbp0HuQk7vas3Xsf2czaZ90zyoj1Y+|2J)* z_Y%1kr(bY0SY~Iiy~e3?w(nbGA>M_M0=&zZ zh~&Q#5&IcAn`&FEVCOMIGlR#s3iv0?K}VbAx}$BM2iz=_Q~PN{SUM4T(oxwg`p^P0 zN`=&?f`GIde2_oe329d)K(Vt3VPEbA#e6XkLr6{a5tsXdHB4+R#CW zCHnvoyZV>t319}1xn?~Y1A{nb4*Z!3KlE5I@}r+U(-`IqXq_)H9lYnd6lbhTcl1SJ zTKEkk5BhJaJiqMndD7tEmVHn6+9|QaZnh!!7Je{wN+{Yp`z;KQ#VkOuq7W0mq;qY` zWbCXtG-c5e+V>KmBvyWGKr59uIokaC`urr=!O1|otr>_%B!8GaJXw`row^l0farnc z&_J7~a!BuuaHJf=U7di9sajq4ZcEXgx*2($KSOsLPy74%4&Nmths;}t^^Pa)i&zjj znduKmJX7eQl}(TQbT1O4iQgeaI(6X~TXng8e#mx@6xFX-$^2E+FIC4<{w-a`q!d)xw`Wb+}8h`5#Z9tj>H~G*Q5CABQtfy-DH3GVcL2nI< zJf^QuwEk(h%~6#JYe6y=hl?PafeQ{dn`z1yfsyY$`FQ9V6PH6Sd!(h*E$z4PPVcw5 zICY_~EF_>dZU*D>yAnb`v3fSZZ_(&&eO+DVVw@xoysXTUbSu`kq#?ArvRSKWM{P3Gp6ohk%MHz78w&2 zq}L7*uxOj%DYMGz2Q-P@WS)9EkwVqIh*1OK8vHGyv0bct%59h1Yv$H-_YqhaNWdi7 zA56>Yblh3)XzA}~KLG-2U_7(Y#4|t)V=42p_D^&@Kz7}X7R`wH+pr-SoyPs`&_(H%Tg)3OVpHW|dt- zl-VZ={@A**V}XR;tLx>yAP_lr&6eze8-U%B1|(IIy`X3y^1GJcOdWA8&w2}0<}TvV zjxWbQT8x$4*KmOl6#%mkjsSPqZgfi??3CBb&DzWvjsPE&r%EEH3}^y3y6%9*k_V$~ z!xlJwYHEP^{Dk0F^x#lM*i8T1M~OH0{37B{m(?|>KF11fj4 zY#^eeVixdASwM*C*!<5+!HhuGCjLz>E+E=TffjvM5qpT>Rt5d<{Vz@Hq3%nbIyDxI z?a$5w=nuA!VfToP?3Fe^e1^swSvSDT1Omv3Aqz;S%~qC!fEaI#@>=s^zpipn#D#_i zTnQXNFd+m21%r{GJSW7+P_mv^`*6DQp!`Dl49aWiek|*A=eS z)&oN7P6dPyx_ecGh!y^JWz(AS5UAq=2Bl;!@OqG~RG$2&y=MdB)$MT9-9>EWJufBq84<{Y=G zt|5NhdlvK4KUI#bn-i646Z#$v=?CvSCW?3+IGt$`x&FbT1dy0HR|*oqdH%eBemN~d>#k$< z>BaW5{2VeLV}2;`y%5SOiYd3@d)gVpmO3@1zk4`6b*T+ey3@GO^z!4a>%M}7^FMyHyz_?5H$Ne5pQh35G=#ij8YNM~A7Nrt7 zR>Vl+hctNzc|nuQao4lAZuUpk*mB2t|0lRXr48<32j;b$FK2JgH=49v;AS%jWCee1 z?hjigk8fSp+=Z21XdgChd&J>T{rT$pLbuG~{^8&auRG9-fIfTxq|DS+zU=y+DUeFk zQi*YIAvjMD-+}ht65#19T3i!J>&<|+4}jc~p|N#XLc6U|BD&Ph^3RX=2-YGDU^O#A z&|h$b$)qNdzu;cT$xB1!#$f^7QX8$}cDYyJk`&xx%8ZvLa*RhMIH~|3(E<9mRG{P6 z%`pL9(Cvuf3=A%xqJync2^NY6dcQ;alz%`8dNZ1qy#j(1V5KI&N`01f?rtJRoIM#; zc#p@{2_YSIMHXN+W8`CDc(78{snzR>a?(9)<+`f` zYd?F?(aI|V$6qrMjB)kI)#}}<1Rf($astUw3R2N}yB@_WM&;q7-MJP|bXN`70X`IM zR_H)d2eRc4T}qms0TYVcW=RFLgse36Mrf}NNJf{QU5|HSYcGYRVeVH#&f{dkznDyG zcJ^LA+1f99XOWg5df|k)`btKeqatn2^|Ea3x5ox}h+t_ncl#8bJigOm)ez&-QP!SC z(o}4x4;8mWFg_j=pN3>6bb}5ymr~kU9%6Sg%(QWQ8#nRs)%W26Dd94O@CNvD3SZJY zq2x#oEOS<4Km$xNzqn$Ymi*extaAe}J~)C(x6zwhN0CV~N}X`ihV2u-5(TuFy1cT? z(a1_|yc;-E0dv~hHnb}vMxO$bE|?ZxKp(mC-tGMsba?+P74LOKz1$|y7+zaAKF>s(#0cD*LhhZE?VC6i#c`^77&u2OI#n{d;K26{aQlPmN26U6M)ckC7=X&WvfN5D zwhp-6u6c=vg;jF&5DmL8N#7xbZ@!Kp*iLblM83u_Q4?kinJ zG$FRa1&+#_JYk@ZA~&gDw@2B&HL^~DADc~Sy`Ac~%%1usXG7lNz7qD*NaXDwr;d;h zE#piK4RNH3UZ6^I_qf%piJo3YBeGNucfd=#+&hV(-o(fcwZPioxI0m8bL{z|JD$tl z{YD$ead8?Ia7^e@cE_Mf5j!9$uS8cW7r(mOJ4P0>6-J6h?+BRwWUjV8Uv`g>wangXn)hU)-a0l>L`#3-{wZFUoWa%Xt5m3E-4e<} z+TZ7y1jbu?Z+LuYD_zf{-aXf=@PF^qEwyc-pgDd^8RuH~KKuHx4|y6Rh(=|~mL#xN z0B3lLo#dHpI_Nucfu4TdedC)GWr0ffXNL~=q4snld>dP1IL!1vj7M=8|3$drqqwZH zF-7wp{d-R2oQ}tC?dudV8@qt|XkfkNli;2JWSqQMtdt3+GH1m1+}kI3LHp^Bhzi#u z^@w^Vj~G&tiJh>vUq9P^aVI%?6=UwfrXOOcR&RR%a=`au5Err+Db4n6WP9ikuPOXP zycn!xr8f}1P0&dAsev((8JL^32u;BbCz3nJGv=MDO&h#X=Z@l*zo%4-9u}aU`d%J# zlc+Y`ST32KC%f%`HR5jgR33g++S?c2gsxUlURI_#aE^|o%z7|~mVQ;gh^KpVELmZZ02HOGI;bwWLV;sg{3@iC2j*AU|#%KVQRl-FM~< z4(YBlUbo=puzZ60=fbt1?#!&61}IbqD>q}ye;{V)`1!ls>8rM0Mc%Kc;4`lT8nf^E z;?miqM4NCMl}9wc7Avj!wCe^ePGZ{_oU4;gWg8EM+dYB&C_$bP*od^ip}a4C6%6%~ zIpO{fx441)ntMmQ9vbw0$-qXe14bL#gdrWPtZ7)jqSoyClM;)XoR_P8wzjSXQ5zvS z@dYH1TB`m;GNFn1T^Q-jY%6!-zou9oRlc|ZoQzWz>m;Wr%Xr}E4&WL3WIQF&-w)pe zI&Fi_&V6WLX4XJqM+z zX{23ET09=8vX4~@9#n*%OMKJOVUdaCUtR|ul2FEPi~CQoUVB-08&x9vjfwbU=*<-W znR^-iV463oqGvjnrclkC{D?;}1FYea$-s684FG%@RYe_~={8Fu3CLwf@XBa*ZMV0>doj(25dh}y zEaW)O8)1?VrSLYnn_>hF-!Asehsn_tUI`mW&yt8Yid-kG&F??p3n^5OryD2~2USwj z8<<%9fb43{+=4j5fIIs!;bX;Yt`BcFX`#0x9bjlTVE*bsTa+X@gRZv4^HdB&nD}12E~b zot*SaH4b_da+yU0v!dWWj4cs~3#e3*Vn_n|TK03}$BhmYzc=OMv+~{#nioj0Dl(?e1Mq#-cCd`M#=uF6Mx^M3tt>Z*gdzN~?(2(I5) zP46!kbe2MKtfBA-x543&^UI4Dq$CGH2R-_5CDM`#HHSNu#OZA@ENN0!#3`p zF*hW3M#V93kmTR9SbfFBhbfA#T?7H=X3u%WCpTUer4q(n<6p9~qwD4D=D8F>> z&K%mA!3B=7rN~`ul0|5~gf_~l#NOuW+CHk1YpW-ho;npabf`Y!MbTP)T6Oi2PctsY z(W7;^?qu{%0$-VbhHtWGhSYMhTbs&2N1hTX>L9Lb{Gx`faXdeJ{UnQT{yurA+5?e$ ztFOqh1qy>X*wHRm!IauZ-!Dd)@k+D-j(gHI4(6&yRGiB+-DuXHI^6+u;hNN>reMh6 z2`k+Zye$g|wZ(|$&Fiu4WgZhD_aE1zZ0T*3*gJ68;s(8aJ_(%0!ZbhCh9U7c!B;l@ z=fR18k}*O37d?CU4OL@-21kYV^A&vu1-`o(Hu|71^-$K*47tW|a!i=(z4A#X3dp#7 z?r3;iMCO_mST_y-;&in$evMdD6=nR4CSjAXa>@6Ix%Yw`Iwl=J3aW_7cY@KRkh#Y9gOgS`Odv5kC7c+LS_u zd&8zsyXY}c7yT`T>Q;ARQCr3yn&qW52UmzUUg>lIuj&Y1HK%d?jJ(=}EW$+qo2Gk_ zKHOcZNZE({H!%psIuv-Sy%qp?USd5hV*3@v0;ecC=kgc+*%HatGlU;Z)Y<*_60|pE z!HzEWVX*=jzKF`%#?P-mZ_)(#Pfx4!^(+@>NGDsC2YQoK5>~Wf!>JJ-CSj%V}37 zt(DgQC%14zsW$Q2Tot*E^JcFe$aRnFVyr%WJ-CNc%jMq?`-TkV;UiK4vG%?oU8+8B z23{a{id+6n9rLnku*_1$ai5896FB?`8uBmc2U_4-B!?Fia;S#z4~CA3eP zXxmO_HvoA?kdYD+NgoQE-`09T^)-<6;3;z`v=<=Mt95vibIrWYY2yLAd z5@v7yF9?EA)6|4o!UhyB>7Z_TBaRhu^R{=qu*j?L*Zw_2k3lMGW9OR&{S$e>%pfEK z4Gn?7)>c)6uLv_6f)Q0fCQ-E!PGT{abur2*PHmJRjx03k)nLU_&8?62?>G4-D0)g{ z#&1s4{=1*oAk(kzls~ZbPSPzCsvF7d7!CN|D1@Miy!dRLP3|FvofBNPVy+4jhu7EA z5J!=0(%$SN=J-xbhVB(l_wyrJ<-fM;eGd?}>vw^{J&vD`W}c3;qoboVR)J$x(f5K* zg!_AgMV$|M^c`?4s}Ar~&HvAQ!4sjH%cF5qz!3nGV&F=Gc)x}HQ+ygK0y>uMuW9-7 z?FI9Moy>d@-u=l0=P&1s`jYAr>X!O6Zm~^aJ_$nn2-m+GvMtRPSF_40k{hZ^^2s{QkI?9%r(pW6n?|zDI1HELNe3dsZC^52M=HCtXH(@LS<~Qns;oUH} zica}eM}%g&jeiNyku2E{x6T~OS1g$3-9oErBC5}3BzQF@8>%?8xT5JVs*HK!jDGeE*j{B666<<16?e7s~7RA1luvyJH80=UyM8BioF2xxWVNSHB83x-#3*9n56AzF)XrIw~5Xjsp|MTN)awD|aUEKEt%drn$Kjgj)QvO4m4L`0lt@n*sjgtB~NwBtFue3emGRCxLjQ+Kf!(s325Sz9v>d2$K>f$zt69|(gYJ9=?3a@ zkVMC7*Y68B7+RZY|7$J({6{Oewr3;4=N`zXtJ!&|0mEqGd+XOmx3uP`tCVgnc)C56 zcOVb9V7~`w#R*-DrNG`8>!@P)x&K{y6vEJ(8Mn3HVir^~N=oMWR4JVT$5e$d)rY7(NPL0%g(Fp*=}5e}Ia$;L&>4{P?~H3? zrGxcG6Hi3oZfwT3<4BD<`L%8U+<0F9;6x>Qc(aPqJ%u;@JeWrKqP~|N+QPvnKHFE; z?m>XpnF)kRaghuZUHpuNf%rZ2{>Hn45{%qggw}nK3TmWcYB8vIQ7Q5>7J;DfQaWo^ zMi2M;;EK?eCwO=HJlUyaz$F(2({LCu&o$c*C0+&{2}v6!>ipHg!9g#cy=OM4f|^2U zTJc4w(&^y@`AtHSa{3u!?*MZuG6#Wy_0C_L3q=9bk*C~R$}Ehpy$2+T%AIt>vOMq@ z>hp)U-kVP2;uI!01%0BF85!8XbUD&cPsR3UAaBafyIG2lzk-0b1Ht1cuPI=q2*WO2cXva z{qKwY7#j-~F|SDtj%f=&l@{ohi+RJ2`MNI-&K zGC?Xcv%`+@NUQ$PD@$S_HH!eQyhuLuylX}$S7R6>8+mW}_*|O%2(ThdpmuB(kO^o> z(yeiRl=q^V$5Ff9Q<$F;r-l(2IgmjwW{#Ru5k2WG1rVW?9_m2crsm`8{DaZZY3cg& z%>u$m)=BsM?t_I$r9cqjP?5{zZE=Uyt?yoi*|M{nNM5>=?}pwk%M`J&a@{6ATjuZx zo_qBQKxH1t*yN?Nn12{TYUTy-egM0_GYdo?iH*B$O1+wm@aYb(ZIOtrf!w56A{3{z zu+(i?Gf@Ln0ViX-4AF~5u7WEhr5k$|so7TEIsP?O=ivst=;gr2llSwtT@U*Jx!-lJ zVQBZzzxB}z_$>DgzWE-W+*#l%+an(AiJa5#!1gSJUr&ib6?@deQ%D#_!^3^^DD1- zp{6UVBz&x^Q}$ZLO!-xcw|S|CHhmhf1_nkBOi++m6f@VDu(J@q3+S9?ZP7r~dUa>E z2?R`Vu|d5f?v?i#1W}@<#t5~SmeIjQ@pgjvFhg{Y7uolVV8yGNXYG;j7hy9xtBB7D z{o9gTbbJy!Mi(?{Zbaqrpj&5)m!@OK=t&hSeDoYzkekS5fjcF?5wf}Ltb=OOn|1@M zQG*qp7F>!=iJIgzO74cDd-JWPhrY3kRC=t19prS}(0>NPCQ#jYs%lR3E?YOO?Im8? z82HD+BL*-J=pQ42mEJ-6@uo9I#oD^yWK5^h|0(fl(%d5zu8q_%4%-gd$r~iX)#tdt z?`oM+k2U3=f6R;z{bQZ%IrcYL5k|P)>aX&L`ufC}6ys@&`NLV?+udJ&i1~CKNV_X~ zwC&udR&{Sv*Ay_>JY62B;?6bM{9{RV;f${D9MV-GtG}6$=Pg%$qxA7gMheSyLK=;~jQ z?esWf3oky2Q;Txn*JsE`-PWF#I!M-(fiSux@N4X@d7C>GM9G0C-DvQy=qf`E_-}W# zf*R;9z-!RNiSKF&Y)=%gL>!Xzo#ytY5E(y6Z;{5z{&siQ70u86U^smKppi!Z8&jft z%mfN`gn-uC>MDMLIS3CC6TDG4EI%}i{=Q*W*SOv%`!rm$y?-dWnbF)GJm?uZgv=9! zFd!u;AJMm=+ng+BGPYrhMVufvfV7l`|q zx!c&cL;E}oPS7sFR)4al7ho`wDD1{iX~0aSZkYSC!3SN9=CP}fbi~e==(SKvQJ5!H z>h41-=S8K1*e2^fAorv2@3M;NE8ohW!qdyvmyzQ)7^`G?%3$UGs;e($ugm#NZ@(S$*vih>vs zO}lDSFKwUTcrQ$(hgGU_k*8|m)X22zj%R;slp%RxQ)j~TxIeaj=hoO^r@`P%veJNF zfPFEQpwog!lCppa-8UPc?*UHpeL_qX?YNK)N7i4Zgmt^WdsSt%a5qJ5{PhJLJ`)f9 z?n}|~RNEoGYvJzx>Bd&-+?Y}60K9ewQ$zjFetwaR9OO?6{_K35nA2}HK#=fu2aO5J zw$PSVX2Ren!`{Cv2GoQ^WSSZRhDHsPQB z$-MH-uiLwm^X~VX%W-YvGPy)n(6Q^ky9h8-(F=7cCwPXe69^U`_C1R1TlLge$uBKi zr_-L5PkhcPQv5h{75?L7CN%yE1uvlG-l5wUR^SFB`=EO+l+=KU{i4GCwR!-`!|O#A zo5b@b;kmi2KM@kxPUl?cX1h;s&(qMWAau2ABdFzg_=}i9`&dopb>I5ximo441ncEV z;i{Xqy}!p!DeuaQ5&h`W38N>+c(ISQ<}N^@fi|d$S01l?c|@o9(mMa%62%$C#WC=#Bx0)e+ZvR>uy2X%hAHT+IX$u15K>L0o%hF{fz59`Z>d7QyMrLeI6=9{;B z$2r;Z5BDgX`d!y{yL4d5*giZOy`szJ3q*P2lHTvp{?x2M*m(f!-00PeZTNSt3)hn< z+%2txwf9=>!hAyINwSRB(Hlujh3;mOE=G@~uoSL^%4h;c48IdK4MiqURwAdG$6Qw_ zbT7LzEm%$CydNwY%b-=H6*b7X&hfeA;uL<|>b)S}esMeM7IK+4xR9@HY&@mXP}McZ z+Li4!Nq2VmaOPTVYSO2m(X(M%0V<2@6&^yRJF$Q%1+1U;#8Do&X4MyDGE@$LWAg;x z$k=rkm!qEo#;+Qtmz|pG18fn2^`U0bx!)W}dxi+|-7v+_ZxM!l$6a*n^;JG`)>sZ1 zC9~^)jYOO0H?xnO9~naBQ4Id6tmxkHL4zeMved$+PxjbzE(o43kN)X4Em-f>E7tA^C97b_Ry)s(g(o!ez?BYPqB=t>b4xj zn_DtTez5jbnENi^*VQvCJWbL__%x^$QhGd)6sj=NMf2Aa#d5!e%cTVJeu9N@yL z`OQb=9?I#8I&f@`mel)uJ)(IgiyoO*_AY1YPQyqx-A;dd3p*{X2fju-N@m9RLDcp7ak|z1DzjPCHHR>& z?GH0B0W}dygf$`dNFOy$WXEkOSI%%NPmcg(F>;yI!kNm5QHyUh+b2A=>tne^F~^71 zzyoxWeYLMe@3BGbs0I7VEAd&d5g!IIrZ!wTzdWOh)@wn3);Z_vutkQ==plfl(+oQ} zcXczdvB?@z0=oY|JpR+W-IiBUujuRqap|;n>4G?(B>z>j}5e*1xI$>yNE?)_U-9WB&R%h zn}Gkm7&s<^IxfG0`*o2pgSElhA*5~D$Z;q6rddt`YG-tOkNnvxY&)4dx3^u#bEVgM zpnJPI0c2j5k6k0tajEZ%XtC9QXyj_9TZOiyTT8*lr>!#HD11>f7~fostTSGXcv}TG z5J@PtXoZQ0TQUhUxZuPUuwMuixEbM+4BRerknY|M+BF)1Yy zj?^Sn8aCXBAHz*9(p#;k@vu>K7UtoR@tbmv6mjacRJ)o8h@?7bg1bu;Ex*@$LeWuc%cAM2jR0KY9yCSsjG*9#a-^zh)of803H<(_t)<^?%)JZU*nl>Mh%*Vz#AZ+h$`o~cMI9nm? zPvFZJ<=`?vzyoiDI+gzv?N9sWGbCn_1^MKgEAR8Z;eK)El9LH?z+O!kc=M|6~E*uNLOPR5ZBX;=yA=d==9)G0LbJ#nd{L1LadGv$hFpVbrV8S|YRGvs=8 zc{8m2%ry50ni7NZX!Xu62y z-?Z~X(q-ha_#+1TvIOOwxv>!qCXDHUh!R)f@0kj+iOwUZ2X&|2)&ruKgQDqmJfB(G zjNXM$h2_u1x0?t_%!-LNr#5LHp9d(pOYALUB{LF?^j7%>nKtJfs?XYhNy5iVABTfJ z5xe6u<4F#%V@yYS?KKUgc&E@4MD} zYrTKq<;UdS+_TR;XSdHj`@`O(Fe#gueP9p^gYbf)jBzYmg1_FAF+k+WQ{&OjUX{uGzqHl#>MPGm=cG(o-8kH~ol;0qAr zsLDs3EdS{IV8Hf`ZTg~${pFH67vbEgGi+qiL>xB^dfc=66l9lva z+n;|5=gO5`vhn9pVeN<0dhCfTTW>D`RR#aUiJ)pxy-9vAsKS+~Y6F!Ivs5Wf{b!~- zLq%3;`=yY60N&B{9d!WVIb_=gj>p91J+iS2{RsMkx&PD6=me})KgL6;DI46==|SO> z_tSp<{MpYy+-uy%7mIS8f>ggAl-bM(od0Rj;!}v%=>=IsL$JfQg|YhZ(kBplU6tSv z=-Aj5?fTWn+j}jujPiz&&hxCzQzIrC;8t0eiLzzDm<>c?k$78h)anlkjHka}-~aE& zjR$~wmvE$ln8}1uL+b5FIcgJ-4lzwnJo?BPIH&1UERTH+iQn#BEoH8;qymV1(!KXL zk$9mKY(yS@4@9!3H^+Qotqls_<$cmoU36U!O+@qJpg7@ek1A37PK?c!<2l|xLwPGy zZbC%^X8luZWcN{#bv@8T?jN>?1MFaQR3L8v$w}FM$FFwbNXT4@y{dv(-{j0`$Qs} z8*@z$nBq)W@APb3Zr%*%Hws$cd^Y@b4`dGzOaTZcTdWYuoQkqRMr|2O;t~=w)@U=7 z^a{|LrBFlS+=L3>vD$v#>EfpO6Uq(iDJ4DMaxE^#9w#Tu`*G?X z7vr&EixU*IbI%dPDcD*xyr)G5dD+(1Hg68tkm-peVLQuAgL7b^YF}br27N!l9!>yz zc!Te(r|DRNWSt}~@38Rhok zFozV8Vtkk}{0soK^~1sa_Gf7dgRCEKWvQ-i;CMg=z zW*oHoYP+9B+Sj&u$al9(I|pB?nN8`u6hcNc9(cSOZ5zI6L_%ZiVt#sw z(RuTJ+$Ui1YdQM6TPp_iek=d7xYEdqrYCb3iCl{<{3IPGe6g{Ak;3ZCz;a z&GBnUpzmFz#Bl-5-y2_TWJCRX-Z6n!s$d0Yyb^TE)w2qkj#l{r;@m45yAM7TK6kbu zN&Mk#8->zHQjtX<0g|TlzGsnsILsGf74*AMS@(J2xy=;$xWNn@QiR8)^0Guq!0z%z z22^j229V~qh9|b>Pfee^G5(ZGz_L_4y}b4kz6T(Os>VYs{x%tnO#+PX zY5~*^w;)a_F6^?xkJ+|4(^({sj$CM0!M_36dN)&!d2H^_a?{XIG_t_1sDm9m z&z7Tj1qD6F0PFV82o>lNvz999+r?1Z57Fszk#@Gp7==Ro_ZzUya4G0zS1)q06pSa% zTNUr`?>{6~xRz*ZVnIzKZXLdBJI^YunDaRo+?A{8F^Ar|3Y<4UKR!!OB|V=`^aA*b z%do6R#-kIS0@nm<_I%kP=q)u9^OxA^Ac$p?UgXx8;EA&2@yq`TfHwG{Dq^D>|9 z_6Qhzsl3llK`^{l{fh%|o&mJ>+Q>b9obUW4QNsh~*3%j`4x?TMZUlMMS61rU(%F&P z=tm~>JUHLadxPIEFP~GlQfuKHU`nT#U^7!St}ChIH=8&w^uy=+IC>SVUsc3RI;~zP zl*eJjjyR8XEyF;t(M$#qwFxbq)C1J>=CubCmv3o956$T++j&h-LMCJwot+f^^wAop z4iL38tHj%#Vev;!T=)6)+UV_vQOiGFUF0E)gok9f7zqE~Rd@TCebuKZumE7FDz=`I zmPTOxY@irZvqyaEie|UT<~qZCq#owyS&#x%-@K>|DN9j#a?q92zrxa&z#lv~ALpR) z8fwfaq>xEPy;)dp@Df?z-F9H`0Oy<>^Zk@(-F>+CYv42& zXC+W!tZ}04M)lIXM)tVii_9}~& zNkvCh)M5rT9US`U3eW-`L!qWz5rQelj`iQM`5reE&D;nQb< zml>`&B&WX|p%O)8k5Q!`9rHsc;BZ&Jkgpso#{<0ZI)NWe=-{`)oc%bf1{8Cku^~AEm8(?0nZ+#{6KQ&kn6QrNFsFhl9lK8;b|dM$53t> z;?jTmmrkE*%07^dRg&klY>M;J0=OF${l0vAg z>5$>*>Afya-)7eSNtKqlabM!D4=1k861rV0DahzZaVcNyjD^2Y+gP{LZX9{yhTZH$ zN}txPVhcd%r;Go{eJrgc_c{9*^dMz?2!x8Dfls3TEHyivts1!%ri50MkN;ZRvK z!uWpjG$y1Bl&4)`qJo=@K&-ZW3G*v1zBT51>p!rZB#&@a>*H3l@1Gz^-dZ&mP~SK2 z57cZL!SfI^&iDRuTz{oSa(kDbuf&%q`{{J0tf&~9Zv}xOJn@-$f@BoXK@A-l`Sw{f z*Ff~_-9-ZXnx8cp9*9*^Xkq1z(F1h#D&}3(T0OoChKC%qe|*(6yl5)N-6;J<;P=f7 z!R~YSPtHn3NDB$IsZE-kQI1%a6x*jB$4GfEn8v{p(P5mmOHU-wdY*iw^BREdb#{8JYc z*Ic)C3*Mqb;{4neHT}_FGwdn0 zAu#+u+FNlEr{f_yC}BOtloiRr^pG``6n|m#SnY%9+Vb*bM<=HMjJUYtY~M8D=ganh zok<@nD0|VXUwz!E9hZ$XG|8@{bH6v^b2xkV%0*0zlzrkLuwrM0T4aL^W-r3T2H`#> zc(QXqd^LvFeTuM^MFa<=^G0mw%60`^^qge}7Q^a-Pun-@w%=ElH*T}o>m(=;UJKry z3uxfc1SkfyE$Pz>^ZX6jygPvioP{j9=BS1 zgcstWte&W=124gu{iQd&qei1^P7^G<{BI|MZ(7DKQa}}HttzgD+A=mRw@9cY!+ouf z+l)M=;IUai?Zcu+>=D6p87ojozW{irdj!3|G)=XBAR{dBoFxywizks1V#JI+bpi9M z91rq*3~b+T5BJ{{TYR3m0LQ9>sW6dE0>}HBBi2orjp8vQpxHxw>)s+Ekw_}`r1a%T zY9}>|kxKuluw52_}bqd3>J?%OYSeEr0q`P=LiE6D^Tj(=s+wU(jLPZ5O>SH2>ujPNeadW(M_vie+aT-~WsHH0Ix_nU`u(?<0$A zvk}f1XEZQ+`Cb#*`DEkS{U2&Eikwcbe)5=gPumO|#+qN`2XbI#q38Dr+x+fpkMGiX z$y@e9vgO7=e_0p(DxvA!`ymygU^>qX2bCTPhd{!W0MK+fL(a+C`n0Ad00=3-CfuFt zNSUr|ymlJo9UfmJ#!TJghZJH2Mf-fR4pQN{KcrFUfvm7jN=k~-r+E>Alix?%jF>h7 zhOo)10IEl4ul?Z$9)~Jp*xhyKWK6sn2B-9NqcOY$J$Ll}L>S{XM??6u0)*crT^||> zys_!9$y;?*6PUW8-tJ~8TkQs>QrMIza<}1PUpvqiwDN#pXf+2Ca`_jJN^ZtLPtJ37Ef z*TW>nxTV_C-keeHvUblDd5_cwU>!bU{7bL8cPb{gA6iKx?VEX^8%>N7H|n1At~%rG zAqWX)-6`+}nNGJ`EiqDjS_jn2&vOn#_K9s%>?=>mTS5Lq$EGt8UVH=D!5(}M>AhPKl$BZM=1ucm57Rq70!-Fq!4 z9!TynKdi)eJj`;B+CN<w>=Ms91R^d#A5m)4Lio_MAr)A!{C!~HaFchjs*q2I zGe1dnBWNJrt)%ej5?9DXoU;%}x@sid!qT?@u|An~_d`k_471`?@$O>nqtvlXpN+8+ z^y4#)68zXuR7`3JFyPAbN&3Q*-sR;*{y1Be%8SB$s1{V+D80Naw1>H|)ET=EK`3DyQ9@vmocH&F);4u1}~ zdGi4M=#;vN;-~u~K2^~rHQ0GjT(@?#ueytVLT*QN%)&~t`MM))6C~xB+&sH6I(tQ8E|M53BE-bxLyHgw!UUX04UQa#2N^`r1H98s(U+)~7`+^E?PY#{X zrW#Y}i+&tVmU~_my^lZ&O&~<{eiMM#;gYknv!AD@-&Oefhwy-h!O+^eJ^3|lX63E$ zk6~mdicvKZYFrYCv=7UNkNbwbjo43QbEEXIYqYn>ob^c@bCUpNgdhq?5u01+Qx&@f zUh#R&%N!g=t5M45&CT(QW=!_bpki+MSg)gjd}L~+s-#HClJrQPU+bXzU%L67))USn zp<48MOP?J}_2b&~%7$Q?d)L>mtvTj6IqXPLNAEB$nfha~{6mq#awgu)qV#a(;z;SQrMuofgZ(OQR`})pnZ2PaXDTWy zTLuT+jkvU1g+*MpPwov9STGbEeLe|N#ikEMV>b*{R8(9&J=Igw@Qi7r%YlJ`adC0Y zLqkK+AI+IodGIf3tl0{Qn?gN&TD)N`jX^S5zDR3jw5G3GJ>^or=Lgla&UoE}_9X}( z=ZJ_1)O=U^-Y~z_Y#V%{Hog5Wz(aluCU*Ol0OV8M&8!`!Cmdg})cBAJMDG@VQ-Dv| zA+QU<=YYlk_+rwk#ibNgS6V7zXlQs|6cX-gLF+h4L(D7K1s||D6S|Jii*m+=IIQ9tRDGRyf~Igz6giIHy8|gGYG;0{MplQJOdeNX~d3F z0m!7@)u1slStjyKqp9GkBN*}vyMh6i+qVzf+1uwJO62t+knsx!?~m~p)7g%>vR] [18] [19] [20] -Overfull \hbox (1.78508pt too wide) in paragraph at lines 1651--1653 + [17 <./fig_universal_level_cycle_counterexample.png>] +Underfull \vbox (badness 6542) has occurred while \output is active [] + + [18] + +File: fig_inner_boundary_counterexample.png Graphic file (type png) + +Package pdftex.def Info: fig_inner_boundary_counterexample.png used on input l +ine 1441. +(pdftex.def) Requested size: 280.79956pt x 156.02269pt. + +[19 <./fig_inner_boundary_counterexample.png>] [20] [21] +Overfull \hbox (1.78508pt too wide) in paragraph at lines 1650--1652 []\OT1/cmr/m/n/10 Length lower bound (Birkhoff). \OT1/cmr/m/it/10 Ev-ery non-tr ivial seam $\OML/cmm/m/it/10 C$ \OT1/cmr/m/it/10 of $\OML/cmm/m/it/10 G$ \OT1/c mr/m/it/10 has $\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 V\OT1/cmr/m/n/10 (\OML/cmm/m /it/10 C\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 j ^^U [] -[21] [22] (./paper.aux) ) +[22] (./paper.aux) ) Here is how much of TeX's memory you used: - 14088 strings out of 478268 - 280604 string characters out of 5846347 - 567161 words of memory out of 5000000 - 31909 multiletter control sequences out of 15000+600000 + 14098 strings out of 478268 + 281018 string characters out of 5846347 + 567164 words of memory out of 5000000 + 31919 multiletter control sequences out of 15000+600000 478386 words of font info for 63 fonts, out of 8000000 for 9000 1302 hyphenation exceptions out of 8191 84i,12n,89p,1168b,803s stack positions out of 10000i,1000n,20000p,200000b,200000s -< -/usr/local/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb> -Output written on paper.pdf (22 pages, 1022921 bytes). + + +Output written on paper.pdf (22 pages, 1080639 bytes). PDF statistics: - 218 PDF objects out of 1000 (max. 8388607) + 220 PDF objects out of 1000 (max. 8388607) 132 compressed objects within 2 object streams 0 named destinations out of 1000 (max. 500000) - 33 words of extra memory for PDF output out of 10000 (max. 10000000) + 38 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/papers/coloring_nested_tire_graphs/paper.pdf b/papers/coloring_nested_tire_graphs/paper.pdf index eb61f0ccf1ddafc2eef2a1f960cb6dd80c848776..aa523c3781b28b3596cad3111b5d580b5ada411d 100644 GIT binary patch delta 109441 zcmZ^~Wmr{R+b&EgUD7Qm4blyQf*>hKH`3jUh6zYFA|)juDc#*6jl`m3QPR>4d!qOK zKJW8=d-KD?;~3)_apifPW3C^yFI%r(`3ArTAOs)=AO$=McpQKnfD(XOg{JF*$ivN^ zSbm1a04$K|M$gwAF0{g~R9HzlV8L&Hyi(*3waGzIY=g`N^J9mpxiWjIH^^uKaCe7k zD-kU&^{$E27XB|oNhAAKyhdVvOb)3!p5Bb{u~B(n%5A8tttptPvz3wZ);OD%q&iZ;vy5q0MU#Vx3iPr176YQo4M=&`rD)Aa`pPY z;tGBvM*?P6M`>jd3topWc}ff1szmn~P6hcQymMLCVpI*=sx-)Z%hqLMb`&(AGOL5?G@FMt!G(MB~tZ^AT}0KH8hZK*HDYi@WL@}=jJ6VH>b|f z0yIjO{E*Wcgoa_%km|>1);CMLL zkU%?DDW98NlMMt>jBrip5@73gJ1w~E$*YsMv=!%YCFmDZ0j!Vx3D@me&OBS;@jvGA z&}t229S8h+jzA4Z!4MD`5r#X9-K{uQ2K;if*KN*b6<+L8>-@@a=q;rmt3nBRGp?_$ z`>xca(Js1G1bP;sf$bflHtkdX2!rdV7G~Y95Zi8HCfh|R)!@?X zy6E_w7!wHyc(kGj?JWK96QUb_Ya| zPbLs33Qml>eBwA(y5E1yWbB~Ze!G;Q%!K%OyGNjvIwF3-lm?zhF3@?9d!Aw>htN&y ztpM&hC%Y0;>VPED+GE@lbWA$(PEIB=SHdbeYGv1N5|3F9&8gbE+PA;BwE0DfQKNEh ziMGqybBrO!#8A1}NV4B6$VB?q6rcbnCHt-ck218=b42F-+s_eB8Iea6xjHf_wrk07 z5EytqqRl4#=rZmdY=|Ei)rw=acCgN3MQJ8)%fCtd!qKF#yh&KaDxVGY9p_r}2+Yd1 z2{iun{*0%DX8$-t0Zv)OW+~S5dvYClwc0woG(SBjEs?*Rp2zisU`86-Tp%Cdal^jb zHr|!pOk><0u0*2nE6yDYw=;@4ZQtaL%40%aMkuyH&t~C^w7xjhP4~CG2EFeiiFa{B zX8kFHVYlW+KSShltuCj65#q6`R$TPCAMN8yJoY(tLC!5LMmR-}eM}}lX)J7q*n=3J z`361i_3x7a_o0QQdtS=j_Riz_>t#a)1OqC&jQVBI#`o8 zX&?JgGzm%TXlGVw%L=o+OZLe7F~^2z^{t~%nurQHx9s&j<$E;7crNAHBY<9R?C6)E zu`tPWX8;4@nppl1x}7T~_CQ=o`SQ27vm|si+vr?<$Rh>_HyT6sc%S8L7n1Qfr2WyN zvENqrNnc-J!r_hZw!N&dwf&{-Nik6>(bx4-qY9_`yL2{S$I12cCs9(L7fLybm%LBn zz9|k-F6Mq%I-LZb$UDua=*WQl@VsC~;LT%YLT-JzkNoELPq=z9BA`NTD!!q=9JUZ-+} zDEfqp-wu+P?J>P?pE7lYi+zSJ1BcL<&brS>=+_{H#B}e)sYuV+7J!SEN{Ls^n4&+N zYKh`3<{Q+C3GFTwZz8fa)gaN)mA#bB8Zbju%Fyyj(%1CKNB&IJHY33{fSn4XratCj z+%J+yw%0^-@_OGDMvwz!p@xv*BZU~J6}}0qM!S$IWEwXvAvUQR9OcuXaA(+1y3jep zvqxZR{Sb5}*3Ay*&HS|6qwp8<-K@%vdv1JbfebRv8$On79ouG>i~zJ_8;CM|d5ec*>p&hKWDyf&R`;hJ8( z2n0Yw`qXC5px)(V7cuMGsC1vgD2mG0uZ~BrU#-W~KIQ8=a&U+U#S##H;gR|My)=TY zj4o4=+KSM}X%UN~@!GXxr$9(dDWnOtfc)fzvK6YrqnLqAxDI~IH;Q7-<8p(Z0HtN> zD>-R8GgWKpM-E!}0H4OxoKh29$1FUQiLn{QSb;d}=wv*Ne?sf$i?oYxS_2E4G<$4e zI@lvHbsZ$fp|#sS6iKX&m>9#TN79U(#ptTc_3VP8Kf=bt^_YAH3U)u2d=T_(;Zn48 z2I${7lO$1IaC@HH%doWbEM-d-q`NIp$;u(6Wj$7G+p}a>1Du{bV;f%^H~138>KeO> zz@N10!DagW_=fNNebN4g z{iFD&{->qK9>oJ)#(U374a<;G(OJB2(b)pT$C^=D^5FqBIuyhwWbO5vo8gwCyv53U z*O7EQM!&e7xSRlC4>5zj-qLuHJeRFbEi>Dm)Dg7zRPP+BZ6HFsu$Y4yniSn*-ZBS! zU#Db2*J@}2`YTAzsb=v&s_Kdl2?K`?H(zZ6A)R$Ik_LZ>L zXf(i00v44Np?Y*%^|Z=;}E(_lt`R@wwv= zOJCZ!Tqic!O}&opS$1IkTHL(Fa=8;af)vOyyG7 zP@E+RH7~JkDwR&P_mwKc zuGhIIwTJRWD98g0NAky(PnZ?6vw;bDlB1jD`Z)KkC2wrEAhOz-QLzUfoP&#zmeCw?=Y2r zV{K0WPo3}pxbKj&ElbmVtI@jqp-cO_vd58{yh9NaW6+iF&$#yQM^M(2aUX|6g|)fm zI;D~DRh)dAg&w^Eay5;O{XvGz>zzT^k&ik&MM!!DU6 zDvgyu{Bl(6Qqkto-t_BVLkj)fc5}IwN#$BFZugT^jXt~t>7cn?ae2SKD1XL z2OTKhn7>qjL!EFo^B?8?WE?!ry+QSfL-qGsai0W4(Y?l66SiX*jkN3!7tEY-MJ(i$ z0GtI~`e0rS5r1P>nfEnX?^sDqL23#6Brg%k z%Ua80iC`gt;V0f3qZAY|YHICI?IT)3smSjIeGY)}*neZ;4F(EMJ!MHg`9 zn_P}3j%6384c{=*j#i2DP^DNZB5qyr{akBx=%Gszo%s7#D`JuNLfPs1{8u591LtQ7 z^!-aAov~33M&o!9FLqHK=e>fX?7!56s?$aOG8sGGjJ^THOIJU@`znxa!g+q_sUDsSy5V3lNiq1-G z7c%ubHl);j#JN);n`?gX8=kJVlLj_S1i_H>lDT&!UR!Og=~zz8-Py5}ptO~OFv_N7 zq9%;&_ppNz#ukd;vR$vw*V=9fYulD>lo9`j-IfN{-(slvqT{jCeZM*`Q8HEljbYvl zgT2BJ2T~2Z7(#%){Sn-6gJX>jIwE9x`8pvEXrBIR0ov|ZK$KNZndQO{q1J2DyaF{d zg~idQUL7Iic&~4YKe!FUK7Z`;Tpc4U)>k1j0Cofn6X7DfqvEg@?v9D{8RtY~YF(Q37`I(L;a)=Plk;FM~ zC%=Jo?jItSxu*N1KOiMVU4NYM#oLgAvnw&I$~+swlhE1l%+9EZ3%ro{N5a?|JUp9( z$#eQ2Cp3YdqDD%lscxi^pYtNg8GDWSL#t@T9w~gMAC>aIkmY##`-$hvT;L?Jsa>aK zc?YVJMyHIedi1KSYka-fE~Z^kGi~$BOQ_tWvxqtEsD@T7onLlmxZ}`f3+*N5dy1E> zJZp_!H{_M49tzDEZ%m5c4F_UUkRK6zIO88z$`<9_C?SG5MuDLfJ(9;pbxRca4owQp z#Mao!+0o>K&BOof3@y>%1ro=+vGI^Nc?5X>X$Z9z?B*n&0O$IdQm90>bxVx`_`!4# zN5(LpoStT#1HV}F&;p5uCj`Cc(51oQPc$a|j&el&_Vz?pGT%v&NmTR@Y0_6PH$! zfOn;fKwZv^D^<(wWk&1plai_m<$bgJ`l~yd$PtSYwk0O6!$GnSzdxY96N%G%_k=om z^Q3HmZDzwX4N=u5H&xp2vtA2<#b&S?M=4SaM(YLZ|O8eCQbDrKCKfakn!?@yDg#1a(TngkjP8-#kOAFsC zIp>C-Fs?h-580}5Hw9Lv5OQJV*uRz+&3<`olLlmBHmWtH*94d()Xp|g8c<*jR0F}? z$SMJ3Zj~zsAMrn%t1=8LzpX1DS9jxZE*~-pX~2n)UE<7toYSS`IXnPQinUu1&%sQT zQ{h!UD4pE+YVK_l!n)tBQ*YI$G58>iboZ6UvzKCWoMw~mLdp?N?z6-A#DmYbtkLv7 zq3q-?VNkT1=rlUzEm2}p2{xrWj!*)kiS%zndgByV>ql4X*;nh!R_pEGt+}jY9Q#s`Z!l-O9nTTxebrt@47uHfWz$O0A$^YI zR<4wcXfoNHHM>idSWomOELGv;<5>sp$NH9L4L&XQ9jUqSNdH56RNl8T5w$5m&}XkK zPpw>M{W)8&LHiN<3^LlKr;MlE167|W@<{K!=vFe`ncStOVy6VS3=+3p=pYi~bBG)x zPveodeR20HB*G@&S~Z{XtO^=+%$PbN*8_NRFyQ-sqMhK3)P+^AsOCF<4uuSOHwbnU z^R`UM1a41ibw{PAjJ=^dE@a6B(g%sS{bFubTXIt>!VtZuB^gNRQ;yJkPiy-6*L~6^ z->Ckauu&?_cjM|SimcXNGm2%a6`1PDq`WrDNIbUBLqHa{=(B+P75$Fptm}ifd=;hk z@+}WTl4zvA+lfX0SRSL4>>*L67*>Q2QK6@E{f#VdDb$sF2UFLsW)hPJFsLo}HP3LJ{lXx5fzV;qR8&R(AqRi18CgeOJP zYkd5wxAf7+i5a{8f;9v9-$KbW?bq)~kn{Sf=o1836O6FLOn%N(_rr`_C+YH(bgfr^ zxv1{J%6z?QzEPi1?N!YthGVd>%k8i4Y+#%FP zY|FW%bK}tdS@s*2kYHz74h6q$UA!VovgykDb!57iy6z3a{g*uM=(k_Yo~H!|)Ch^q zyb#2f>x4(!A-;*FB&Gfg;46h>8%c-@R<$GYe^NlC+X+f#=V@J{q_P)AHGO_+o(E6A zd8@|bvJx9F7xbZGaK+LZti!B0abB|b>xP>XEyT5 z(+*C5d5w(YE!Z6@p3epKfB*58#3Y5}%MG`-SO10pBfgpSD6<~dtQaxz5_I`FrTcVM zzlFP=&2eT6S6w_m(#3r=6w53{Z6pw7h!JhT$-`}|iTJ%DA$hkh5-;Kxm%-!GU%!t< zOFQo`I5#ZV9G*5%ECLgd!RZAqBdHbY?_Jv5MkqAKKiF|uNQl%NU^%qn^&{)q1lCeg zsC}DWt(R*O{2QcT`3ameQr=a=r_XZKt7Aom1oc!1_KCLu?J+l;61#ZzdYg zXR4xAF`~5DjAD?D!iGx0XHIW)>RaS&C*8h8B!`nC6DI>Q%!gbls9F>h7__uq@@I)U zH-56*W6CnyFHG|w@lnIfyR>g4p5Y&PHDtdz`i8}YGxxME7F&h(tC5^sRaKwewkl^1 zJbn8%)!HbRgB!GU+H7aTB89B*kt_y0+#+cVJVCU;Pf^QF@s=Mot)0o=GLcXWIgwU9 zJZ2uF>O|}TD8yEUiVhVvjmz>xsllNYOn729?x9Kyc>*_uw1R~55Q-v{G4lLp+KsSQ zaa2JOLa|@e$8V`~Yi5`g`@jWS40tR#8>sF>z3?`a7krS)A|`*LNWT>DDaX&PBJm;Z8@cO8$ggmmeIIWTH( z&|l=!d-Rs-Yu9kD-KZ-DVZYx;>vG2JK6^>IMd08fv%Vl(Z2H`#&(MHSe!o?hK;915 zuF((C*7cG1QV3(Iyb!MX{7?$PcK3=g$|L&)73wEQO@5lsb7Gp{pUXQbknE0If6CPB z?e*8uauddL_Fh?KE@FpHGYw}I!(#LB!|j=RXy!=_afj3TdZ(Z96?n2!=fRz)VCFQz z3(DC0Oo;}Qpjbo?!nKBqbBVe0y6F&izUB^pUBW4xLI=sN(v*hA#LB`h7S$^f)rsyA z^L$>u`2QnI5Kl(hqj6w!^YEgvy*05gGk1Q<&n}QSWRJ%1i5Q)LgPr3k`_uPmY;q>H zX3pkMdANDmc@jC4kmxOU7f{{s*H?NSY^6~$nUJ2y;k*%hql85}7KUGc!<=OBC`IGZ zlf$-bjl!&A!_X;o=J(i4gmP=YeUXYn5f-(S zy+ub}3R4U9HXiKiv^E{Lgdrs2ZXx&rH&!Q=3Tc8$1Rqocta+H|6%ShPTfQgnl(weZ zJ<7MQc|@+LufNpjYNvF6dwrhAJE&3bXtLT9`9{9wRxWlP=f=-)H3vE_xe#XpJfRLgesj}i{Bdqgl?b=XbBWja{5->}og8XdtHaDTHY+C%7e@q1-BO^ENR8xdQ08B(E? zEg9-6o#KJC#{>=kAT z4jLY8)N}9T1stVn)~xMtC0*UL&%o#BFAv)M5T9*`4<&Q;LYt#kgxB^P4_tJkN`==z zEhOLxpNxv{Ld8bCulH(U1||FTkz{-?51NiSIXN929ZTvrzEo9J5wdFKAM|u}*}r_G z&70Grutx3mEgRDvWeLqiyyj7$!_V<|qO78JN=i!LMf1`<`l0%Mk?Yj@0B{SbG#xrw zqwa{I7Vko8y&SSTJ6IYi!9*I{o-FE4XE>h$ud?VgA|m9v@0^lbQNhW^R%!(;apWA% zGZ+Y(fQEW9wEP?kdQfU3^@SmSZb^y4-FlVN<}fBEChl>)G3BS!RIk%Xbb~6=8{qh*aH)pTHv`on=03%{u$c)QwR3bOSpC|Mk&KakF&y+#{TFb&ILNuYF6=KqwBDZ0_1)zJ9mk{zx%Qu(J(G;E*Nu{-q=_Ko zQ&2c-N2V$hhaWB~EPS8wx&D07bBLudGjpXHsz=6SIZ=?8PKt*&-T>Jt(QPy}Gqc)V z@F+2@&T|mL1iX)a&?hG+gR8z=3BXf$d1>tM^oxL#Dd-$KETG1Wo&ik>YmEmjc&Zb5 z?=oEWW_j!ug{i4mYFlsjvZG&WX=)Z6v(y{^c%szwLbsu-r^iEN@NrdGwG}kXBcVtG zR4f!>ccJn8v$Dci-!ZgUo6lyp>g42vYncDpix+@G2{$Y2-re=VQjJZ@9l9?J28)Qm zI9vi9Dx@PkqxAxY4&6H6n>(L2iay<&Q@18MJRA`@pO>O^&&kb|9O+o{xwcVyeW+iq z2?hka^>o=Ibi$-2evUGpX3jGRXIZ6&DjZ^Cgm-nGQ&BQwC2a;Yc|jjoM*?a69UL1# zdOe(UcxY&EvPj*_tBK)Q(<}`F)pfo7-HGiJZZ_FIv=gMPt<0uX_0~uUhU5BEn*IkP zv{aw!{dGlg9zAjtaS5;W^lwlZ^49ZRT@vLtYQFvtlcsmTEssSyS$Z`Q6jSb5&I0vc)Tz688)S``A)o;xA(37-4Ri#6;W_@AyCM~#aC8c zUF|yW5UjoVwy?%#E^H2OPuT?msb*-ET0L7C{YlmvnvqEuk0zpQ-m(+xYmcsH@{r%2Akh* z&^*;=Bw75TwocvSLO5^$WS$&wo=xg~br135Ou1H=Xf)vKqud!^`MfbeA zg=1AC*u2@~{#S2P)GO7P%T+l=rhk-wCxaqGnPtX2S2Z3Ah?nSe)H$qH<;lH!m#FM> zbJ$De^}8K3#lB|5^z?M}%PWSCqZk;>PyqTYS{PPCz9(#ae|IbYg&Q|6&9R?xJ{e)S z5lq)>C4vTRaGmHg6(-?3v{t2h&0PeZrlz?&9A)~gJ}`FMrT8}Q^9B0gZrs{w!+s8< zo>a(`<~A_f8%0qx{9Z}PVP|Ab8!Q(#K9}pZ2VkjCZ<#DqEdp!VVx?P! z@=mUN%Gs~6XV0FAr>=rYI|!Rn29EO2n-h|CIA(V zZ~6CF6oP%o!VkGwzo=$yIk$YJ%SKB_CzVA~Q!}}=pM=*s=`P%o{@esv;hhT=M*vtU zG06E9bzAZ|lvZH)&zN4#2Zi8eTztD=QQN~J?af!LL*sN$MO8ETa&xA2U5uXp1Y!0= zv0%d0LjT#G^J;H&V&w=JCZ7GkxPp+p!X+%6E$n02#ma>8I|>nxs_D9tv1A5qZ*T9e zHR@n&ssyT=L9P*eZR)SW68z`$PV1jxUy@Ul+dhD4GeKy1!F9>T8WomsQ}Ll5R6NVtsS(G1Jsbs3WjEIVtD z6Lwh=@Y~j280qhA{SY7A-RRkXn4UxRA8h)RGHXbsg`tKtHOy*@t@Y-;cTr8vnH_MQ zBB$eBJbTkVbP$B+YU$YjQ1`8dcBjk5Ur2m^@l{eEYZn+8PEEHKF+|xe&cDE~udlb| zTY$Bq6SCMhX7W}FUCh47v?nmWROSRu5QFo(g zAwd9NNOZC(+S0rP{BO8|dvaqp#|fC#+=j0&R-*?{VXLdy z6oNTU17Aul<7(MWT?nlXGBI{JYo^lEg}VlAZLRf?UG9CE9`a^sYwuxYB3A3c`J|M-eWd_P^2_Op8z7Sz;dXmIz^94E+9u~HSw6(SMSm8tMf=kNMM;Ced zNb69CDNVCWrp2`%aW-0k&!gHLsj~_nAlc;zV0q4*CFSkie8ar0s;>J@>3BTv9rR_& zb2_?0d1T#Y5DGc^gMdOG{TxC?{W5#@={Q&aakU9+fhCu^gsBSv)}Ty;1rzIHku>*^ zm4*4~Cam2%zYXfg|N6DouF!s6=S~wc7I{c?G+#pSFX6h&1^aEqQ(9Wu^aB^L*0+%T zGCFcO_(!k#x?OI!&MxEu-ZqIi^=O<<|K=gj1U@xXtWD}!?U|M|+v~GE%ct3Z$Tz`R zYp|aXyA&l2%c6YXVK!Y+XDA=$Tc872ObE;T-@?+1> zZ?ciB5_>E#;Ql&esWV%fjh0Xk_2SB?fuFk|x|)1S>Qp7?*QS$fYhV2IXhQR*@+sjod~Ys zGIp}6LJtalks0qU#dq$q2`mm9{}1=Hr_5@O-<#W#k&$txOtfv-q7zt;SJ&IJB6axm zX&j$`AaLVWNzA5z70W?^xQc>iGJTqXqTr+-X zKX&V$n2+a1md->|iWI(-A^F8`}eR^o7rEzdBA_RxQ)x zp!s|vH~r@W$ZF$LKn6A&ni%YqRH(Xs^PqfRNB&Sc zM=Md{KS*xouaQjG+Dw?f9;xcz=^k>XRs+eq2G-)3Se-jW zuxF~R60PmVi`3ah_CK6%QiFClgvg_}se!I($>!B_h0Vyy8ef^0lk*EhPe*97YFkFk zbFW1~)#u#@m>jP8TvN2@-Lw+{Dk|z(amQp=DBk1`1(DMUL}V;;yOzxiV3GCpp$s5r z^mSvBF6tremdiVV@Y(|3XT3ju8?n%X(8@-Ytd54WzEZ;zo8Z?ABiDaw&*KeX~U_rnOiiGPKugajqdImBi;FE02@D<0 z%Fig7Ms<7kXSwXRtR`)3mxy`}3cE{Itdzk1Et~cqAJR7~pA^lnFP`21n8IAWqz>&_ z*@i;{#Dg$6>AqMoHwW~McqJX1=WjM63!_rQ&eyV*$gKqG=4enJHgRm zwCBiooE6qH6$b0n+j&B_C*zT-r2t})Vko)~#9D}Cxb=8gh;%&qp`lGqOIsKnU51cC zo-ch}qn@h4E-x#Tx7|@Rr+V_o5dsY;VQu?V=9Evq?1^(@J;aFdHBKY8ZOQh|&YQpi z)3a?~tnFW@$D1SAOJL1>Vesc}S2oc>XVe>|{#Ahr57_Vva5+U%gk*J$6W9A5G_c^c zvhD*Fu)AGUdd4&K;5n2T5Yu65p~ZdWcOta(Lf5;MY$uX639(Demt+oe>kuW7zQ__) zeX21*p{O&kH(ma0bO!QreQyW;JC@e^TuOte(}R;{ z9)Wc~>ENiNZGZW^k+een6|nODAuE`+KwQqLU~T0SQ)$DHCf&${BJ7tJUzdF1?yjJ% z{T5yDIwOVR?p`E3*kdEmi`|G?bfnn2210s9u8-AQTLw2^LOY*DTYn&oTB$&|Ug}Qe z@hcOwwEs~UfroLI$-I}aHIy2&_?@5d0dgao=bsA!FA~|p*})p#%1WeL%KoWY^mgH{jIdi7>r=Un=ksxUMLs0q{p=+XcYhTxRT$VrP?!ZXR;`9iKF%B`1m@vUGr%| zsYOZCQNOPTTj(d@=UiOM3ctYy^})jr(mnT;JWHnBQ6M6kI^L&~j%V7o_1(}DOZt0T z#LZ8i@rPckOb+z^0ec z;o))N-e5gz8YUnkD_Us0{=L%qF+CV$e1>--AP|V7j=+br-5Eh5tCm8ZUzdW(Gny=n zzR9{hpq_?=yZjbJM}@oE{(*>80**OeJMVz2I4B876B*}ur9Ws2*w}h#T2f`n{U$M~ zqkDKMWw7KG9S zO{czVR(i=hU2WwJSk%}p?OTxwl$7UVwtC+oD~YY{ZEHp?-HA^Wx4P_UJunm$!fuM* z9W)#qhdV%N>r_%5*e;AoQGvWr!Bq;_YV#-@3bJ3N3OG%ug*+f-Pj%gDsF>dEfIo$M z2tV@=Lo4o6ol4Wl2+}U8Ga-d5kk!J#A6a8!VrHIY?z=L9W8KhDY z@VqWog3}LLKmw)2&!y}L=P-?tk?}Cq0hq0_*sgPgp?`NOrz_G*NiU82k=E@6Klp&Q z^~^V@{~Hb7foMzrQf(lCwe|kabA&`Uc-&FDdI6d5U1`%%Sn7^H`imIRz8adI>1H+| zCy$Ejkj%Sw-6TG{^x^-z5`jC4sr^4%^jISoa`_HLEd-6Tk@rWI(Nx1Vj!MJ#)0?YmT~=FNR$rs%>)6$FX=9cbqDK~YIX-bQVJV9G^3#g<43rE7nzn9yOiq-YKRgKO> zK}@|(avv*2dDwJK*jqkRX{PVC5}00`4N319{Qi0mSG{Rx>Nar%jOJ>4!`z=gP%W5V`68QS{{GZY z8sxN@K@DLynJFm4X|Bm@ji;#VeY>G{bUXN5cfhWMDVGsq~v4w5X(bYw_^oZ z1Y$kkKMheU)nlD2E1)<}1MV(CZBv_4yG1{SuE93V`9FZ_463_;gt7SmDEe>91qw_rqWsW1LEl*`G5M|;c`9kfmw0A z?SODPfGlnZzE-s*kNvXPA-t2Lqr~mWuQBmvJPt2$V>j?~tGk9ThVFN$5D=4cU%56%x#a(#cCA6_-8T!cm=*gP)&A$)m^aq^x! zkUnvxff3WHv)WQk;Px!2*_^iz6`|tM<;OFgwSx@(U$glAq2$~FkF9Tsg#%zqU7cUD zySqzfTlYZMOuBn(E&T@ezbY9~`w-yk{efE>+GgJ$`g<2DS&Hc`$p~WV&D)I>JK-ho z{rb(dMv%;?Ev3zuCqeY4nYI;)rmwAzNlo3ox^BHYEp=I=-u|d?B_;OQAnxes2<+O# zG4q=(XDYt&`yR~KkJ~KDr|^dEIO#i?7#o{og#Vr~%P0W68yYO$K9t?L;P(4~&6Foq6ntML5tK%fyc`=Uqtow%cdJ&SK5Vp1lQ- z92niR`?6i!3o_Hn`ubES!V=ccs^KG2K-T5b<3gp;I;b|6_g0@C?2#@JlA6$}3(j8i zVmp`u|8OWEFE*rpcLe@=<)B6dw)mml{}E|X&FS(+yx{aVzdL0A3br{9569(@%&EyC zzNPPrFn1YQ*-A^-(UNk-7BsZR2av{dT+F42dNp!aL;0XSkV4OKaAn&bIvAIj8gL_q+^=M`+?W_9)Le#h9tpLI=EyWfNaa1a;=V%h-37&_yx^31i3IkKWg3 zN@Q?wp~6UFZpp~gvlG6u}l>t3rbhISA4IouE2a4egz^R(drL9VBsR=vt_Y7 z`j)7d#R~^l0`!T)1=Ot%BrZAhQt&M}D`&j)o+$TL|E}?B2+k!*#PckP!)O9a0OX`` zExjEP;NUd;!OMkQj{tY8yeGarCNx~{b#6#OIz4+n?)aQzVF7BIs0|A++RHw4E`rZSOh|CGPqq*MctEU+ftgtwA4G{2jGHg(%r`KhFvt(puxh-}Ka=2k zC#I(EW;t^l;?(F}DtJ%@N~B`(gm|t@PLjb__oHQuKhx}cO1*=)Z4FhS1@MrHLP?se z=hj$%Mht2@I$oc0kkD%f)zv<^TyH0lO#N%sn!@~i#o#F*GW3A>GrL5K&%W&1^wXv+ z73;qWF^C%+l!I`SGzux6&NUYb!sOJ{2vZ*aS#>(|>(}LJC(g)}S-vV;xR1YU_LyX7 zz|UMX`W}OR3jR$Mf=|(Ma>8dhaw$=-u*IW9c*ZxTmAOC{!DvPQGv#}HVq)G)fYFGh z@t3`2DJpQalVZnu`C)aVA5j&|(8z^Ywl@yPbKM6E0$c4l!`^Z)dEzoMMoj?D6!|rH8Eaaz%inI#T7_MNa*=zq8bQyW0S?lO<6G|2sh6tR3N`& zma55L>MSrrlKg=6@b^Dp@d*hP<$q4)OIuM{36L1^{SebT?D(!ePk7NTb?<30jBr>w zcVIS@ZfCx`@LaPAeD&k~>z?eTVA-dm+t~bI@}-O3nJ-5DbIDB)#Lso%*!7h4uyRM6 zS>4+zpD1=e%Q`Edyu3WC%9``fUIyUX7Z7XhJw~(f+(@Lrr}4}a`Y7GeL;tVXlGk-w zxoSwokJp4mM3q1O9#2|1Pa$4O+&V=$B9OqYrMe5^x2emo;=Oa@Bd)vTk-cnVRD@#^ z7dSXHWD@t+(s5v{XgoayKI z_#ZArLt0gw3c>uFq%cxIhOk^X2a>gt z1KXLjngkwEig-9rhwMz$KE@*RUh7jjU7+H#5#T5fZU?6!YfiWyZww#AveLCSx$eT2w+p!g>XE`)P9{=CIIrpWhIen0Efvedk~;Hi^@!ZV9^A zb~4cd-Nj~vW(i&d#l6{V@SimS-=~~QKp({DfZx_H@XhR=_?`VN(iQe!@mIz^UdiEr z>-;e%h-fLi-he+v5f4CTtN(Op@<&_@2Q0cjVlu&W8g#9^aItC%{i6=ev+~Ug&JNcd zUShrQ|5kevh!Ez%hn=3tlpgw2z=EZKI36Mke)O ze^X4-=k)X!bGlWwbKUlCUE99 z@H^cD-M%^R@g435FEVMJt>&_VaSa+Q6zCqg_x9WZ(&8xP_8t9_1H(Z_-`Low_}9_j zym`ZEX^!jkDY>s>Dv=?D#n{1tkzG3x(a6K_8iEaoX=G@HuyNP%zy0g= z$6y?r?1U#>e9h&&!m*8C@g4p+OMr z>^0bEYy^X3MyPEB`)RV#n_P_6IgC&3H9QuHjJhScn8ddJOD@~$Asl>#K`A4oS z`f5ThTQX8RZJLqas6TaD`gWLb-qs6s=-TZD8#Vnhv3)Q*5I9#0}hl2w^ z;Wk@jELArBW`{NtaUfEH+?w`Cc_2o=BW4Mcw5HNaR2%8f4%6FhncJmPwwFh9Lm3G^ zO9xqZ+aI|&4k`Bb^;B8zH(!ETo-WSA0Z@9Z^r@m*)tcy!m;oLSMrNcWUZOiog$|u7^x4rFpGc?=6S^=k}k> zhylmn_K~x$z5S56DDq-u`Vv8%;~hjE0^}|`@M#H*8ABr@vPTMov>U9ftRnXLJ=Jg} z-9<%3_okg#rwheG=TH7YDqO;yG1=9S67PI9ib97pJzlI>flw>)DDc?~{IF?$ejfbr z>GNm&NQ@k?f`O?5)IoEStS->eAm5v?J0&5JFYsRbYGKOgjaH>QG#&9@^%9S;=d@(D zS7NKio2}yL_YVvtvTC1!B=zRYyFtYIcmLkH1%0(LG=!ya*7(~=W3lHM#q%eBbEw}D zhIkj7_h}~6r6oB`b|_X0VgWO29k=4fRf?hlY&TLch0atdY5tjh<&G)NeWj?1U_qXR z#*IB@OOr(|IzM)M4^fLZB`Eg_i&L*4H5` z;;e<>Lc@HA5JLv+!#RmAo4Vv9Z`FTpCiW4^F3|{JtNsvM#pzb0%(}3m$#TQsQ-pU1rH>a6}#Na-}L*h5QxJtr7DY)qL|D40tE0B8DJ71=UG?+p180U=?9&Wc$ zU2?;f$G?X-A_%(J6IbOJ1fhBhZz1Hc0nk%488h?Ez|2jt@&oZj)LtC4^xyC`Bpcuak#xk^+BLr;P(w9|w1D3=M(V)R6@K zRe*1PCT`HLU2)a&EKrAUD6?Asdzj(t-(k)reu;7#Y$XH>8W`k1(jmFHK@1JoimEJ@ zkgcz=j5XKlV6I^I44IVyASOPT%Tps*oe4+?yxA%X^OMvoAptve1-XJV-@gjzfCMTP}FhjFH{|XwaaO?p02Y ztrWqFJNCb>_k0Ug9OERjaC!(cW+xI?*IIks_gZ@o znZN)F^$+pF6FFc4&{rTpbs)e3DU`r>6sn#6@5P%=k|JLM?eFaa&4q}~|M}p%*VNeP*)m7)48c;U z_CXY?6P6y0@SRf+TU|2RS-XuPOk6sE)k-mJ_ zg0Ll@rBEW|BlTS>Q~1qVN!t(Z`{GBGe@ITcc?OUY+QpX{!XV|Ca9 zvaSx=CloSVaSreMU&iwHg?M=OaG>f29@}RWxjFNgyfP^_2HvYY;&9zuu(Y(ahWh$D z_Mh6OJr-Gn#`Qd6vH`_VyVT|E3pfUh90LV&KI%YG*o*a(X^pT|ALE+Tl0Hnuiu>vJXJ#Z&21?8l&9k^iNpZ@sckEK?LEN8l{ z6R*1V9=p|*X*n$BDG)f}5R4C`dN}SW)v{4UaeVyw;l!mjjWI zpwM=frn^FK7sdYR@r1udo0@raY^=d!D$eU$+0dgskI&z#-WhpUIPL`YH=fgGbcl8B z&pMs`L29kB)Sg!_*RyN$R)6E_jO4?Ghqnw2ylia;-&RAyl8vib`X7Gbacw)&WR7<8 zSMTP4`su$W5H6h|6Vn^TN?aM|O5Z zdfB`TdE@InzcM{F&AqDms|{JRQo1%{ROs-fXV}*8gK>Y>l2_axZnLv{mIJ>m#+Acr zn;IHOO&Cnnd5SBb-Ebp)E!AJnv)=#ec>^y}OrTZd2X1^R@QV@2_}VkOnw}pceRpw? zt~Opqbj`rQK5OFko{W8&(Tee}Gs_W0JKjG_n*zJLi+O)0@^wEL_@&~JD;qYOLIKFg zZztHua+XE)R`=+#a6Ak8}@a zDXqKJ>dyY!BBSL!b5~!VJ`7}+btyU+uRYGRu@{YLNS0c0ebsj0 z+ObRgCzi2<)DHPaR2$)5ks82`nL6p4Sw^T!*or^PTj{Y-TI5hO>3G5PUI9)zf1J0GPKJE zdK7dj^8zJF@tL~C<{gdsG2J%31s-kQg%e^f;n2K?;SJW1MGT#pDix3J=tG7)KrzKw z{p!;mO6!HLJmbtr-PZQbZ6HYDOG?`XMwi;?7EO%RfiLz!q_;?NCrgVM3`v7CEyl|o z+i$(A7tbK(*6U2#q@A@U*^^3V7b+JEGU3(k^`KzcHvL`O&F%)*>FH^zG6)|vtyf3T z0LOSYdGDcb^97qb_50TOgp(Agkf!flhI%ixA!%SbkHEQ=T`0rpY;e7{f~)d_srjBF zr89^cfMiTwiFAF7KHDE)+xQ#y6DjcYhOVlg{=YwHKNB%3yZ@ zFyLp6q599&!ra~4SGDha$6&R+f8NMaN`0T<-wH|u84}`mb-(9XXK$wMoD)5O+SnQX z(FeAJ056Wd43ybm3Mx4V`2`l0LqG5 zZTM@>>KB8lvTVM`9m&D!=B-AMZf@n&PFv;1+A}jddmgvx4~^*~n`C_z9`=s{`0l$i z;Ix#So$Go;Dyv%#LRV%!n5y?2QZv@IBft;vukKp|1N3yvsFtAbUt`z zObce5(<*iG3@)5xiNe&o0{7I!#nodwu#0z%0srIz6=+j~c(#VEDi^O8erSu7iA5yMR%pjelD5PxS!?+`%O-Xu9wyrvu>%2#p7k1ISJ`DyZHMfx-!d- z!MpuVXU_~9%td3?@goI-m4zD#Ho5O{C~rr z?H?yhCROl!GR;NZV!Qs}MCYY7PzjtT_xZU>tBV*}+WQRd4VMvM_3PywR0MLjz8>7; z0RHoC4CX;+i1meJiz1r+6HoTI4+3EDto79*414nJST6g7FM}@e`L3JUS3pS|Ur$zl zQDRxb(nCDC0~xPj7bJXxdsW-Ew`{taue)qzb4y|iM=fcbcg57s&JK8kEvtqqDO731 z(M!LTrrQ{+$Cz&Cnh)a3CH76=F^^tiuglfm`?J~%;qUMNJOqQ1<)NYe-5}W*i)+WE zZ=JO_GqbUoQHj0(k>Jt!kJ~S&K;=42rL}NC+?~D2KtYpldhhp2#Lx)Ctvk-(h~eqK zXga10`z*QB{KhxWOVKbLtR_|s zpB@SwSk^;Q0?5aQMMKeC^T`~yq8QW)H$s!8c+P;#fq9W2PXm%UEdmBR)cR990IQQ} zs<^wmFQH2;;y->ZZh^+f5}Z6z8lH_!Oq{$%=9{D|$Ugu(*w3(Pc&!m*dK}1moj-qm z>>9q8G!!{{8)|;Pc1Q|RXQ^c@K|u=XZ1;cb^>qx1;nH7dY5`iT0m@faz|wE zC(W{MZEX`Xk6~G_@_XHI3`&QGhVHk7pBZCYr8UYMo14R2yC?AF>rs*Z&$eI+ZPHYi z=-Sx0n@nqUU;n3#nz4ecS1R-vn(u06HP)DlxzbbsmopT#YeUQ3BB(V~T;iZqf-LG>B`Sj#g8H0RT`w^L1k zY8*3gX^O}N0-jy4-Hm7T)XmhUlntvf9fTsn!+8u!9(~TpzU5`J`42*eJ(6BAKZ*Kp zy&K@K(P2y~4EDs~Aq2Ho^b`kyh7qY9R;uuEDvvi~5+x(V6r;!)y=w{4(LFveyT+due{E?te z|1E#P?VNml2>Al!J^&;FxmNk7{;ytLTn4%`rQZ{Ju%SsTLYf8%a9#9Iej_#Q#&2A}uScwW$ddyvAEJ zwwKkCaumwEb1Gae#Vbo@^srsqgu(ax;%n_|=4(siK7dHj@13vN=2_(E^s?qOCa{Q$ zGym$th3tG&O;!`PLyLM6YK&zg&H$&GyLZpl_WgGy2>q3d*BfZ1ZvXM?S8iQVzjD{W zUuWcPwQxp{y|z*Ux$lJw7r>Q*k`uHo(eXjw#@@uGJ%>Ep$A4tl(=Khr{0m^gbDM$U z0?wh~JI_h7p5qx2tBhhAc`g~c)EUg=)xSmk1_1YIV16)UCsYV1aS-0W0G336OCkN+ z07g(MsYhPvP6!Bf9DNY$!g_$lXiYwfUw(UI_(-JL=mS%x3PTfK0sC!V(yTMhjg5|U zHQhomQaheYQl2#d3N?Sr{bUt9WAjeeDP-pYf}6WZn0xY(ZVzxI9p)Eli=fZ(t0qrh zi@sZ?$vRU8ZnF(koqVNG!{ezi*;_pPDfom5ye(4a_H{Lj?4Qr&sVQo7^Da{eNFCbw zr*8h5bZLzpG$I|Wybz;qqF0M&yy`jQ(*Qy@y)9Dmf25~bFJErxslFT+Tn{cs8!+Cs z97-^Q+Pt4%QM|4npD129%#>@|gHbP-834r7@!W_REUNjp2gWc%VDrp8v1&%$8`H=ovP?SMAQz)LH>RS@baKi=DgDRrcRwiYt|*pUu#J8 zPP~N2RzQlu<1u_U8ZiYaUAcS3$e`y*6S}cgDZe`CURTJaU~JTHtB=4SwD50fA5i1c zLA5Ri2ZxAAckhn^6T_Y7{f!DW&JX+9Z$-yB{gj=ZQ{%DZWG13YuI}B9biDWf_C|?D zG%k9j?iLN+V@x-%3NnK1-MG2Iq2c7@)X~uaocGnaIZ(D5795O7zR=-ceAJ*F=wjsA z3Vq&m%MasTe3y)^DR7$<(-hWW84M1Zk8N#j>%0FoWdP06`D;R?HF!voWnu5jJP8*Q zDS5!Hg`t_g54Dvzi$%Ick5DD8EtutZD6?48Amv17LprT5HpItBn+5~#Wn~2d#j?qE)Rk{>1=5Q@9-UNOtnL~1-fNt;-&u^<+K~|seKeC61+eYcZ26``F%a@kB*s{y z@vS>&I{@k-CiSzAxVX-(ip##wmNM3P)dq(zW&IL2ZVm4Zm!Brq>*u-1lIGZQohbMPL=x3DWOhp_<8{ zL&{4Ql_LdHRbG2bTLIP$Vvb`N2CtLrEl4ZtX%XAOpAw~@v_GrDyQSpSeA!yxH!_*w z60gYq?*L`x&A&+q#;i;V$x`wG1JO_K{H{>5{hMj@5tpnYcz(1qwHioUg6rrY`)b~z zQgnsoi#Eimy0E$>WaNDxx1*xJf$86KYx2rc`dW`Xr*WwfntiX@2dP5hGtqkE6{@3J z=rZlSj9`p@L>x~e`%P*(I_{fvvBB7lLvww?Kf1o9rA{1-8QcPD=%%`C(Aq9OTzVD=Uv^gtu3h zl)o$mRVAz$L@ta=GFqwd9Y9wXVH?Pn)x`VofWnUR0~QuzW$J^t4pL7bn;BgwX1vfP zDjte~m5xVTDh;43Uwe8Zz9UZVp!R?wAlwGpvFdVO>ev`Grpn-}BY0>tC}V1qWU?+SDbnYiQe@w*V@~YSGc7j`EFDz~KsQ=l4Cb0vB(?}n{>4FaQ z+OD2l3Q93@d)LYaBbSlc?(~h&t3Tb^0#>|tCSOiOH{2Ab^dB6%6Trnllf9rVrS zWcYv1-8gy{$(+0gmt-c-Kp()sC-r9ttUB#yK#wo43u;5VKUc?$-n+y)_RL+oZx4Nv zrKX@6Y3il&)e-)^DQeUvMPyy|=a4=C>Vblhf!zzUVkUL|%T&9rQJxno*M2#i>HDDV zrBr73dO=jYDK9Xh^!;3Qn^w{7w2JX&qZv^$aq*uQ2#my%!uR7^a(}M?A_)dbBKfU5 zuh#idH*epz>r7Q$rsRNCY_h)+GwBkYe#HCm+p&(Lv1VX?-;J@HdLPC)u#U+|NvI+A z94?AntKV*j-q@OuZ|DN3ouK%AbGX7t3$zUb^MSSp>wQjFs7e2w1jvbcZ;XXa))w;;$sTQ%cO_XE28evri%gXha>*k95G6aB+pGB5y`Iy~ID7 z`lJ+gi!!gMNbFhR3$|eFi{JXx`-1p=0sm+U-B4pA;PAoC6JcxbDl-~!1T|Ve0*d3= zubX%^(_*a1YVz~9A<2UsN(HNdA(LiiZ2C46K;Q*#-~4uSv?7>)4OQfWI02^iogcLh zva_Z?;E>7nQ{#w5j)KryZXTXjAv`Ak>VMN1`&3#3N)&-vK6uaz{aA=*bcu5^+tE7Ivb;TETh5qnNzAg?E_=>T5ghp6VFw5Y>ASt%{gd+;c0i*H6 z-y&6vHTw)M1SHy82r&BUNFFMYk2$r;U&Q4Mgupj8lS~ateOAAmfQDv8IZ;bNPFrUs zBEEf`zf(~tc-oa_IT)M&TZpMIh)FPcJ!+gVDS39+bm4p-l=IhLvS_jvy^m!pjnmH= z&{#oiNImm4@%s^+6Lq#8fbEj&54bN)k?V5k-A<+Pvwj7;%>`?}eZA9;4crwr+l9VX zj95O;uDD#U()b9J%Qfe4cXS<%%pAZ^>{v3LI7*MzWcK%tuI#sFg^_ZSs$Qg|Y-CDMghG=+ zOhq2XpJc!H(_}V}+MkM#@?HA-3|BAen-vMOi~kk{ygEo0*a{jzF^U9Q8Sk=Y=4cUX zhOY~y$I!!HCqlT}l;|AiUPR(2C1tm{y(ufnD|;$~&YU#I;v0`*Ly9P8?%;#->0FDw z6CMC(X37egZ2X=dC_^O80nV2UsmzX01A(2qJet<`!AA-jx2__?%AHEyYrF~yQv-tR zS;6)^_eUrsTqxE3e%0#J@*q3;O-Jj4!PTHR#vD&0&8srf_XR0(Jr8C7P#Q)Glo_}X z5NvCJ;!JS)PnGeF_ykn-)NU{%+0e!LORI&5<@Ze0AJHPV?BlmCt#}lk)2P+${9=ke zcZsX~B7L zaqF?~ex*tI>n3M}Nz{~(U|t(M*KkJ|o*&ru`X%ZLBf+8$;;%s>86a;;ZQ@FSOV7#S zM<71Gx4e4$HB{-^nlAC=(vXt5LFYv;UqWIQNaH6OMnwSdG3w+-3&^ z;Z(}y&OZRJ(8A&?z2#g}P-4CQnI`{S;?yFIP%!q=p=)7+K>{ikV7(w#7a$Gplt$_n zyo|j%X88p`BZ<3Sy01_u#b)SD>SND3WmXeVe6Sy30bKI64`Wq?LHwz5JuLo4s48Qq zL!KFSdU~}XP{evjpR&3cE0mQmu}D)LjJ@^uZ~~8^lnj7R&LOWONXY?4fg~PHGCjvm z+gC_(8e=_u^P5btOIWqLnhmN;>o0#Q)Fl5c;Nv&JRDaT;eH18|%|Pxgv7vYHY5MS- z=3(xwsj7{dEwGI`0A)ja=&p^i-V(&vo;4{14(f(w$H_pNvsd(E)@~1AJ)nF)|42Em zD_1_QR?An92%%ZXWBwLxLMSLb0dR*jpB0r#tSAoqSq=07_}luwQ*+|mSv~LJi~k*1 zLDtn2FoI`G`B{&L!Y}jjsj!oQq^$cZ_TBP(mOsDo$ru&yLSJmnFd2bGt);fwFS2Dv zUbrh!R+MgcWOoBjGy^!Al7{9VF&FC8gbJfO8R}$hG`iYokRScEKXE`B_cD zNZ<-r-MP?Y-$6x$1Of}sAUfH4p8OVEA$QqiXIQ=6-q0sxT zny3ZBRQ@%SMtjC|V{){Q62(%-HA^!yLRG)~E5L5tiqV|p4%5kZ>EPh5@JL)=o*1u? zwD@^aVmW9mqkAuVW$PK6Q5iqvyPlmZW%}L!j|3Z;aDEZ3uuUi0Gpyu2yJ?EXQ_k17W<>XHL8RB z1+j7oDFq`fWkp3xIH$j)ts8VP0=KvBb0|j;N}!$d9GRCEY3>JOy$)>vV2m2Dwzu?X zA4>}6cTh@7Q|iyp92S`0f!a^ci*iFFLMNEX^$xu+98`0FA}OQ@jC7in5GL-XS%Y$h zwle(-dG1)wn3?OWAd9L)CsD-^F97%Ll{nauClAgbFF*i|nNw37QN-TS(qiv7cr@Rx z1WEk#WMDQNY=xwaDDy#8sZQ5LW3W0b%I1*pl+_^CcA@WqfLIax5!6c42*OHm(eO4T ziquRMRKZaW-1JZSVgW-j7aXE@rkhppSujx^m~Rp*N*7${hSA8I2aqjFv5t_55=)^u zC-IbuzlVZ|l?$=}I)FMdv<5YWyCU|g>zqD~;7d@Uft^4k+7;cRbRH^mN2qy_FR#CR zs!-E?=n_y52^DTulRk*xXdi_S7L0U-Y(f?$pjA{K6avbi&!tJceEG%V=quFBVbVz! zg+}<9Go}MJ8RbI347E$wq-WneE+u{b0jtT{p@ReYo%Ttj@P(?N2MX6&H_3AE{LdGc ziC;__E3B|0C`Ouecn28cNv~4mf)bwn!vqBO4*n!`jc+~EYkWF z=3~*fmh#Paw4k0B8kaJ)hAFbkVcjH}-l*D>f5bD<5 zu{~BrGXI`u)ivTQu*M3H*bz(5wHd{~=Z;(kA-3NuYeESMtwT+L!9@wG(uKjXDSePI z?hx=0 zWNf%2&pPv#+hA>67k`9)06>BKAQzN|uD!5f5Ok?By;~28G9N;jd;DIW?0+fLJpDbk0W~gzOmm_-h*RqaC`mj1GcNUh7Df!_yUvP&PB2%HPK(SBsT$sO zE;0v?hk@%4GR}x^Tz20xtKcwXayg{Kw2wc|PTO7x2y8ok!B^}si}EDr6w(v_cFL5R z;4{@#X{{PnO1S`YkNQ>~rgM*O%pLw1-ph!edW)h!xj- zsLR)dV2dDca?Dtvh85vr!ITA1sOikt4=TFAa3J7A9udwKe$^^4wu}vrcBRG?cV>*g zPtSKsX$W=`)((D9dg$_O7saXCRYsPc{C5>Z!pyS-f9MpAmIIA&5-L?!-0y2}v z_26749?QCAZn+lk#pZo zuh^r#FmG5n=vd(!Mh$Xy^KV``&3SE<8BK(1`&4^n4NQ~5BNSH5+-rqOZ+sUPhl z#(K_~?93~nRo!1+4qNMmx%L^JJ;9$&bBk;#_wR4`U}Sahb_d)R9y#6NsDN5C)<>e*Gxl(^`Dry@$gW=gnxBf;ej#}N)2B}x8*f5v6uEgfM_1)s zxs4SxHM@TNHKcpaKFnXtb4%GT7;E->hcsVr?R4zv*~uYzC}Xcr{00iw=u@y?lVyJAdQ+ z7Y!Md23gmF-Tf-~Np=K7tE>qN`MaB_*84pEiC@bu4(Ymz5)vbF?-#L$c; zxi`gL?BNPEjSl-D;mL4SP^xvWz{s-W?KkO&6TaoXBiO{tH{#qJKVKu`4Yt-PWXt4$ zV7b>w5yuo+>Cg3acBUrgTu!;2kySb}#P;V|f%@{m0^e+&*vBQCPrz+rsz8&b%GUBR z=GFn}(3`9#V~304FjnYfz%)0v_nl{_3-L)^YscPCFZI_j)Y}>Q5+jU3h_E9}nbOXj zc&_S^eN?;dXHuohL8z@@lOb_BFj5V?OtvQI?Gr zG{~C4dX{d-ncGk&4Aca7ylhOx9j!w;Oz!n?kKXgWb|84iS|2cw9Xr!pr_Q_7fyq>8U8qW#P&l> zZ4Z0Y;0!#Ao66z)YLo^uIro;8?(|DYR>&@@pFpYQZvV^QwicsL(U)<=y2s zkzhFJXr!ZeF?P1!LLN{e3X~ z%|k)^R|VaHI9Y`-?f3Jp&R8jOlhII9E3B=XXgazN4i1_!Er@@K@b4}1Vh8E2okL^0 zXpFt1r{`f)XP1kXGHs+WBa>OuNzhyCpHE}7?pq32v6!c98Ux}DeoBHo2S&C2_o&O& zK??RH_!YB*Q6*?rQK=}FboF=iLr zctwyVkvZHBM`~tp(lkx^JM?kTGN3g)%Wv=K%x~MiC>X)!H^>d`)!#Q|lC?Sh^P?lV zUctY_BqjnQ2M<+&+kvki`u%i=6t>Pl8ZzBH!&|}ojdwd-sY0HT_=>&Pui2axQUoyU z@BnRvA$`DkMk5SdbxSY*=zxC~E&cWi&iYG0>>uwYEG5HqV)RENE4DQS;Y{K;!u@qB zz1RWi+;k|rr$BaUYK|Y>>nFFL3B77TGC=EXMj4Egaa-PL8+S}>^Ij-eT3%MU8pJ#i z=C4!s@79*apeQpivy@th_e(E-(!xA%Z~k)B<@$Et()wDnWGFSOiu32Z_xogP!ugY@*=hmP#n@KNQOZz(4z)MOoM=Pa0QZ!aej zJ+p0cY&qzM5ML^z-12J!Jdb3h0O#`1T4P=thnxj7Bg;dQ@lv zGQRhtW7p?#-Avtkvb#&u!z*}3S}D)hJtX&-=$hoN^h$?vQb4)Z2Uz*ueQH6|+j~Lr zdpL4Da+2l)T_IH8Hn;aqkQ!GWSeU6>=`|R!FdjEpUb-s3iYE^zdEBeRYqGi;g$l+R z9L6c7;4$^{<4qUB;(AJ1GU<)>UJv$e2$Jzx`tI!YsEQ^~$a3g4$~6xW#wHBCUw?NG zI4*EMtv<-OxriRA<{x8klq6lTD^S`EWxoF# z9eK|!Mq6mo9m01PYTI>&hQh;16m^VvO@>yZih{AP4wp1t4S$=EaJ}0AX#FhZW6a~W@xFAvy<&%(A@&brYwg6P4PVRnN7J`& z|AhKwLP6W0@G)lg|Fji^k$>;+H|yl*-9jbe&Q#l**g6JZx^xL0ZwSOl$K52?+$()v zlp@#Ra0l;FJC4q}vQnHn9#8Yv0_&Z?5aW3+Yd@S3duTPD_3aKwev z4WEoxUSBymjyUj`S#CJ&%^yybVgA&mUhEoR#a3ZBqaRgWj@a?`Oc}{r@>LNwzhU>XQ#qT5gz{Om@*HQ zfYp|=4XepK!7CB?cQ{&yi5k|pfDm$eG}O>xLxx;pzkQxNSV_0SQ#|`@0)^Xi#W7}i zus#2tA1LeKE;U~|)B33Xc2smUtsxzXZGk$pQ4ZE8eI96mxZiG?;AR>ekPbezj~#Y#C;v}R#NqusLLQ= zS)7~+bI{PB$Uplu^?03NnLcW7H7ZrXv}4s^m9UkBoixU}yUbr>(o%D`#pj|-!|)@n zfw0~ddNxJ~yz5gY1-6H~F2a9uK>GYeUz^^N4k*Y$=s%F?5D^jIzyQTOk8xi4`qlBn zcfB^kon&62u4Gb(tI;@Kfu*IV)6&zAUc9bxT?2|~h(|3ob(XqihxDl}b;3`(5;09Z^>(+;Sd@g4iA@&HK$hN zO>o~*)?i)w9R0rGOUnu#57JcNNjz?mvHE8EYv%f`>z@?w7Ki37`Q+_$R%czORb#6``*2KK=4zAi{KakcrS>nQ3@L8ZBoce zCAjGuB2a87hz)C|P>d}guIlkw)e&=W8wrF=0d2DKubQL<_$B+ zg@m~|viGFiZw$2Mxmq#u2>1R4G2;T@^$S65SGTa{?%1>ygp}I@S^c|Z-Q`n8^SiZw z2=V##us#e+SG;HJ;vKxM-o^S*V^L%JUKl66 zQPkZL4gsxbQ#sf=R&q&g*Zu$nKcftd@Jg_T&&Xo{b%VG7e(C`o^W_SWIk@7JRG*Hl zy_2y8j=>)b+UgZX0s8sCTijXKJ_>$|<-iQ3P*kL>`byLJ$DIsK+$A` z@Fc`3B!!~1wkt}t7U4VB-QVBe)s+ukIPLE4uB($@Oj$2o$F7U<9V2LW?{#Fcf?vOd z^rahd|AHrGnka~Hi=GLlnk1$z8jPw%ki20Gr)TF9XCHJ79__aPs5kFcU1MX=Bvh@6tn^Ue?gDX$nJt4k|cq`NREvq!hd_I zeNW4!@j(-Bg}`0}N4&Q=J{s?_Iw$$?FZ&(zE!#FJXy?}6cID|dLDL>(fOk7({D?%p z_bKF~)-KINvExi!i?$jesrsXDmH`R(9DSs8!tm4@d(L z+cTeuhW2BYA2p#r$aw(+2oennP2O+YEAwXK{EwBjO5AHLTKB5PdHO?S2GFncS}PV# zw*-T;UEk2vRg@S8ZJ$R^#%E;6JDdW`cyWa)t!!2Ai}?&?3Y}J2FWztSNhyoR_c-^8 zv4#RXok*I@E+*2jLjdw9)FB-9ymOV$h$|R6gIsCrdUc)9O~^=Krsc!ty z(Q%WjkuQeoBAQe0{^`BBXEK!xYEZ#cjHu--v!FrdtxSI4hP#L_5`0=V#v=B2TULYO zU3s~ImeEV#&jyolU;LqD=}wkFkqnuw76>Yn+vzK?i0jd3X6|OE>T7Qg=I^pA&3{oJMZ_|{uqpemYh;~4zKlKCo{--DGub|-gSD?6AaPm~Kc(zVOe%hR ztBp}&WI#ztrE+~UX4idfZqh4Y*?v22oJYvyg=1QIdHKGQgL15yeKld?@_luaL3gPL zMpJk4_BTrPM>~sMoso}5Tq&(uku?Bdl$MmJxnCjLQ&Rm9f6YR1i51YVC(#t)+sSEi zXb1+5w2!qHI$AfjzdO^ZdFr>YxYiz`n#@n*vrJvX{~WOgh)7rrK4p0Jko z2HssiUB^jxPoB7<8ngS5%_yaF4BH<$R*i-|_1fA$c46Se`-h(_LEN;jtUs1(?$<`YpU?cBw9WdmWM`$~ z#-mj-MMsa1i$ybyhrQ{>l2EV$_o583b;cg#|>r-k+hU z=;a{R8nO+>ou)yFYWUx9Nh1CzQOH$r0DwMBOdU)VR6SkHn`5@eS)wNpF(US{(8$_K zAv3vksDEZ=X6GI~F|-3AH6>byf8Tp6NU5nB8Sy2eKl!L%WxXh;&i4j1Vz9M2TfPI$ z0dKZCFO%asyqiBQBDK6lWxq2NcxG?zC{p)>A0RVCu3n{H%067#6X64=f(uRnv>J^t za4PK!B_$+YZeoamD;)j0F}k=!6&yFRxL~U*aNpxcpCw^ez{s9*$i~AE79C3$}^%#Le zqJNFSYBr2HySm0KwjK5v6u#f5f|P>PRq)hbXcV&5SN+mOG!|d~B0Lg`j9L5rtq=G% z@ecjbAh#g52VXloS?^;&y!xh7d{jA?p*UxJ++4klglLf9zL650|Nf>BzwYSi(bmwo zIv{6SWt#HnTonIZ-n62kqRQbF!vUh#@Iidnks&f{l__2v8^!2wOYzKFdUakNZ zdNIGPe4U~e!L$fu@pN-*Yoa+S(dJD9AZT4YG#$1RuOZQe4cHryeV05mc5$oQ@2uq7 zOyQUY@p2^`%?XRj=m%+}&d#gW-I={%z*1LUJBW`Q<1ib$-Pp+8*vdzFkhS6-q3UWC zpMO@nx68=gV>gZ`p&+9mqrT|tsmtd02=~$*>9)*%TRpkql%}R8uD$k*b9Hy@ls3Nm z61kos;Wz>Dj}HQQqNU5$+8UrU3F%`r!n|8Gz*3jk<07{AuKTt5Z4pFc!N8pnQ6upD zGgJ0yg2sJ%&A5K-So|u5IIWh23V+d^QH8qzZBPBBN5D2_XK`!Mn`V55`_DAxNW&k#yTh#71!?hmh8#F*b}BAmF4!xP>7%(PY^XKorLGo^77o?=iErs zHKsD3pz@W`1pia(tq7D^yyPdI3nslSYT^780@Ld8wAiYl9z#h zFb4+&1c2ZNfJcyaWTmMOyR2T5eQZBxA;H)~dN7AFP%(n+i%#lm?JO1 zPPiKcyOAvPw(<63_II%8Dna$M+xPurnYwwEX@7OlPXnRzXxEktR1npc`!+8aAUn_N zKuxBr;5)!S?dKmJQ@lLy-&VYv40$j8vXI_%o1LqVJ9ctY#AaaIe9}Hpq+s{{?AlFm z+An8C0S8SmKa!#QTL-J6dVxR#=Lw$02+e&Sccj!PZF{v*Gb2>0k!&urN6>o>N(D(U zVxu_I!$#UZ#71XcTo-f#*j&kp+7X})&xIeSn!W~MurUWwKfzK+RDMspx*CoI9vHk1 zc}?Vgp^hH)QZYAIVpWhqsf$d{BF1Q^BtQ38Az%6SM15R2Ay(!pE-NX4Bq+!#21(q) z4^@<&4oxkry;f8R1uM9?thVP0CN2R(Z9)#|<*Io#Z!zeqUBzF=U%DObIoDH>f3H>B z`f3XyXTh#Ted>6Pm7)~MrwkiL3F3A2AD{SZQo$ii;4$&FMKkB~Um!Gx%M`sn?d`UN zqRFDkArLprOilt7Cb9qEdawgdM5kJpo}C@3io92K`FoY$aQ?LvdfSH&7gj#V*t-Ej z6F>#Xn zQLzgoF#ld><14fSjSu*ngStFI^Z<5=Fnh9@OZ&6Gw;%NCfYP!XF_@PGY8k1vxc3Hs z7vEm6wz9hRCF&HD^m_RVS4$9Ve>Xi7oPcX!Wgz)+e)ZhG0q1}~%rna_GcJzduB(8# zen3GI4%Y?=<1wWht8&pSw@Gb)IQgeW#Bj?zC0&entZ%G=z^nA?p*{ z_X6t?!p7J%;C8JJL;ix-2@j@TJb(Vhc66f-+ScoIT_2YjO4zlTU^MJnmF?S*tHvW< zy((im@+sbiet#=G>!Sf#SX|=pE1QhGkW9-vQ`#K-e89#BzB`OZNxnAMy(K2yKWPIh z`^xJKy2#yK1a5VKB`_^8%CoZBi;SnePsSAZw6ZHlKDGVswJI9ouX$En;yW47$6_}Y z*`m%U9qwfC&?fDQOVTD{>!*~)B;nIV%EHD=!1Me(53OpV! zXmv_iOiqP?8L~IZ-bf)Z9J3{7w?H5c7!IHwO%bl1Tgj5QIVJSkjB9~y?ENY|Bcoqx zYi&O&yNA%jv5-7D)+fBb#c*^|YeaF0A|WN2Y7B}wHo=eD*b%Z7Ycfl(OBQD~-~Sx+ zAfuO7=08f}ZPBxDt{`MQT{;d;v3syk{U5QpshP#zB7UvYS-3G~C{SbtTlm*Wp36Ze zNW?-74o)&-1xJzAu3K5)u_P@c(+Mg`elqfmkfzey0+%myUKygRXz2m!7{B`dt&BpO z?-kbbyWTDxBu`}e1P|xUY68vc4~|}c8w8`54{UI}#{h6aWY6Fr57m{SKED*3kphGH zw54~cdTSWE9-HsvL*@4O7WlItk}O=*I}mGCkeGclJ%BpJ|C`@%9|&J#q=l>WrQ`dD zHOkLu4i9-k*LZY}e6qKpA!;@Rh`dgELC`umnVm-RB~AQ9QY*s34}b$j3TmbW@c`KD%YHwqY7sAx%^4# z=~fTFqQBAV<{W)ecvog$v)qJX4(<8|@0`<1${U7`wU--i{Xb9u)C_)H8-Jvf{Vfo& zTR8qe#A{V>D!`Q#-VQGmj&X&t_qKNo5ARuq*SGr$ji3G55+imiik*cU3362lZ6^o{ z<#dH%-&K}fKo^;1*$s53{S0=D0aa!y9=`jj(YSjL-_{4`1(AmSE|SWH_&5kNkJOPm zm^ll~p-F#`^}V_}h>XvGw*mf{M-Xt1ewj;<)DT?qQC%nFcLKEh1TxhC`?1@{MkhQJ z+kS8F#f>yud7U}4joW_qE86P%L1EQHkSxHd>Tljm1WPT_ZT=c{EBPF>e^AbyMe2jI zsfAW>~C4vCn z9ST6%#EKf{S6pJ5fBRB9VDRm;#2kY_xzG;o^B#CKsR;{QuT^u=8&Cz1=Li8zb&(jk z*ACa-sQHp82>&&(%)8xF3Lyf1H79dRv;$2ZsKp&<^26~Lh^*Hc8SkB~9H$G>fw$W3 z^0{hauD>lQDUoFg3YK2f#90qN=1#I1y<6;EiZKczC^J>A>Za8B@tjjkB8KhL;0L$u*87g_eR~+VuD)&HiSm@1+W{b?hJ%fH(NL8z znTfoE$$X7D@frd*eW0wY-1q8TAr~;LQU)hahM8e2IVwL4-$a=Z*8ZlUaewWyLd#X~ ziMB4`0%xnRPJiSD%Q1vEFS)PN6hR|yn~d$-&Ryw&<639k>}zKB?Aa5ancajlurEnJl45C;0vhu!dg3R>dg3e41!7O!`x}>WS})Oh zqWO#%m9ScGSx>40`m?8v=wjzk)gTK!k5ejAXV;`pLq zguaY2W%B$z$=?$=YZ{*0vYA9v-j}!j5#T52PC{Ib3bxsxmYi^;t#r=pIcQRwS;b^XDX*X#kOSGdu;vkF@uQ`VP=D7Ob-;8j< zZx*z)-)SbN&2kV>bcCUz(x*j_xI(268#z{3F9|;qd+^z1Wz}XXA)jZ^-$i>qq|+Bd zeV^i?MXHDAoawbZAC?ua}fl3_wrvMj9vgFZfjJ!nGEb8`Xh=D zu+Vq_?vJ&5Q9zhI;b+){7cuj6)auRKlyola$v7Lrf7q`iY}p|(EIxvtrqyr)91F)o%|{- zD?qy#Rv!lafp|{CzYJIclQMx)0TDi#d`8-h4W@Z8kE?QI_s^KVpvuyq=16K0O9(?9mS;s*g zJ}QF@M6q%g0U^AU4;Mo93i3am+_&+qyR@{83*_GGD}oU2IG$#tt3VamO?M6_0jeed zE-O5@y)ppYl>v9p*HCSDLAR!?r3-hU`2uqEyr5#k4+esC9SHxY2@cNc9h7bcrN4AD z1Kq73)8|(}t&+$*5&Vy#sE)q=j8bm!4=(h2DTY!GmAq=rWQm*ke1<=o(PJZC`3wEk zg@1pwh>tH8#jVzR5sq^+JIH_=JvS%3IT+EOb^rUb_y7Ib=WuNhgAJ&{X^FB=e0R?w zszIk2xK<+tqdnKS_0X+OyOY-4`Jh2OU6GR;vG$!EIC}PC7{;s9X zlqUyiB?vpfzlWEVSz+3ZWCk>F19oXpX;8aX58kdFrxmlPDroqsC|NY%c+K8o3MCytGq#X7Gtn)!&`XcCKuKaGuFTC%8kj(S@J zh8=(P1GY;Kd)W5=10|m(5$3hr?Yq>BY0OvYK38FVVBT$O?aP*R45Ex97TMVCu&fMu%MzYOyM;vE=v)=VzQ z&xd-%75i7QLC$?Dy@L(|{!1mvtFP+&X`anVzPJ#3af=vRVNVqH;(NkL{s&qCU(9|D zl8>3FQ#xTEhlj8pVd8v>GY5WW#h$@!WI5ku#iymMomn9oYcof|V{1QH$`C$rOr%}b zC1krF0NP3@NL)hD$9bKoFqW=}6a@LJ>0jCy@N-dqSEkNI6FU3O*8=M%wPPrIP6Gct%Jp|`(+Dl z!yiT!PC-953I{(1MP>{7IEb$nSu}_VKKB`A1aqrh<2y zY3)CKi1W%BgX}*ck$hkID%Kv2Ti1RT5FtcXJ6K+;Wj{m@4A+ytrhk{SX0y0tvq0`* zZ$DrfK73kiP`TBrYpC`t&HPoTSetSV)$wM*8t3HG!s4KS*KQi%_U?%%?PhCtevWM# z9psLk?`GU^emG*G^I|JJ$6%5RpCVcR8TELB(ur7#6tH<r}%w>KQUkYtP!_EQ7b~*UCZ5SGVS$|(ycF^80D>NRVaF8Ea@HXgBhQ@7w zCrhNf)b97D&>jIkKEdV&&D>CN^4>u{Ta!-C6zS2~cs$mZdE~-abpVLc9sC@#tSoR< zCD5rbyLDgeE`4 zG-4fXYkG%ES$V@^3CgAnTyB9OeOh2({wX*4C2tL+^Aks7)Jy|jgD8Sk9u zcRNd=JUUk*FtG-ci5D8h6z|-Zrsi_kwsPnlR$dG6jEG$xavVJ8uoZK#oZ0`ysk$KL z@$@!W9q@=yxar~c}=C$}-=wl^5t9jjeftai|6#IfI9rgY-bOVHx3|MF1-;%WsC zEwQ5F@#6<0U~-{Z7OfgDHstz3uix zohc%O-sN-Z<$41KO_&G9*i0~Vn>=-;jvpgU4D`I=im}~rE!bS}DXCs-8p%9gH4_KbW`Fcvbm}8(bGiWe(D5mcA4X# zU3iGu?FU0~ceZVmGYp4Wj#1effuZ~6iI2;KVpDjiTU0lz%u4!g{=a8X1HmZ$B$iYB8yzc%N;?BBGWS-0%A~?}Dl-{+4?2P`F zRj?M_9Tq7_c>yWGQ)Zj$ILbyU5BhJR){h+N?xRvz0OK|{E01TyRBYld-6iG zwa7+$N#-ib=#`V zcNP7E!siD>#Dxaw<;x^py=?Y?^SQ(4S4yv3GZmAaIpFE?JYo%Z#LC20z5?#-#Sn_! zh)JI>=}EPoU8Y$Zl!+6Mb(-DS>h@>MQk|h8u^lLLP2RPrL|m7OQfuaK)9_w<0vncy zoDTTDd<^AGuM5YSXEhNkaF%ClsPc+s7(m91e=f=8=qKZytQ>ju=y?Z{(G{Fm%QY-ob6}>XH8>q$&xt|O{oS= z6=knu+&1x`D&&|V=6MpZxUQDn9)!KmmWC(}{#+4uDKgq&by^GHZspfOp(eeJf(#o< ze?+pg9h__V9W__mB{uGDF3l?mGg`({v{t}nNS@RX#a7ZXgN=bPay(YjN%ost2 z;zLK*w=taJ8EgSTtUc-)8flY?k`Jf@cUk)L*rLXdhE=STIGt_t%KrzCoEzmng?N`BY`m~(Y4N6P#vRtspLR7I_WX#{Kk#p$46C953F zqqod9>;>FlUjF;59Lqu-yYUzW9^SzcN%pUCaaFqz4k#tuA^ec*U5fd$1XnaXxrW?7r$#b^iy`WYKq$@Qc4^LwUghXw9?5+cag z;QX?)?dxRbPWR*XP{ORYCOQ|ST}H$xKfz$52d(XT97 zB0wvc{O@~tcGrm7V(B(}k4VAYZgouz=SU8ccszpWup0jG{y&w-nE#roQ)6l;l|zmW z|Hg~rG6-Wzk+pz_%oB@BqzBsHFqBu(K>SpNXFD#BJG#$V0~n%Vi)hL{cKw5%l}J{< zeVMj9%f}q=fmeFqSJI&aZJ@Bx@;JTU#TQo6i~p1QW8e z+p3c#nLsdN=t7AI_V)V*{TF!8Z4Wy6c@z*5I$`Fm;!|(#IT}Sr@{WyAyL{hdJ%|SonUOK62j04|JLB56*ewgIGs5D@$G@*)QCk8A|t)wHuC? zTsMKC#i5g222+gH^xCGTFJg{L3(1<+Og5Dh zC55^`z@>h5^;gi|o4YN2c*=f=iCT^QZie`D-waFxUs!NiOC9Ms{DVQB7Crde!kIPw z1zwH~GM4+molVxKb37K@cHQA@l4zXjl6lf5wRUf~%qt(jR1Z$hhwAF7TFaX1$E=}I zJ%sfjeaa2)-?%(psrz&vHa9n+TM}M7M0=SSRH11M>e$#8=*tlOZVj8uk}EmNn7`Z-MsSWK%)ByatP1Z2W!)!!pwE{^!fenfx_m? zVAoBwb=G^Dd7~rxA+s{{pG87H{D+FWSFctSl$HvFT$-Ev%)yXTrXHqc`kN&J#vr~w zZnp^1b07!l8O-AR5KaM9dP~quwd{~*n+84Y{3Hr#;_ejO95*e$FUV6rQ;|sg(TL{V zS#ng?BtaFkQ&XSzWT@w`)c>;nEg$isv5UJ^1Tm1?|>c5@i6Vk}o_+CwWFg@&tL?Ysq%;LyELf{E+x^>gmxnDTf zS~0W6$~qrtc-7ltJiVrOD)!+gVO?3-_gwY2Eg&*x5uJmb=YV?Ar}wQm>taw%v_3WG zly93>3;W=blA5YujHe_Qt*UKbUoP{SGHZ3&HBZ*Xe738z`&5(&Qb8gN-M!+Igm^(n za%)LEgxMs{7wTD7`5c7IM&_2#!n2a4eUd zR*$cG?s+NEu0501XdX?3O5HKovPWxc+Fq6E4EklxDbJIzziTpra7(9l;xgNxM6lo8 z(n#i~J)`hvYm1kcH!LKimZCi{$QeB8HpnrBjFilR)0kPZx%U^dw3>3xCAF+fi;B%r z=bi%z(k z~9<9X!=jI;{>g=`I~x|mr~jZunLQ

;C)&Q><+|Hec_tyYxh_KU{b6s)Xbe(5B|e@u;j z<6p4+0C(W1j~WXcjLCs}>sVj*Dn7+c6ibq2tdSh(&VZ&|koJ;kEtj`!dR}GT57azX zxVFfi>LKT;4tAmD{0W!bA@X3*tJBhM%ada~L!n@6o6jX%w{S9zzCevFTu=qgxOgO= z>_=V$>wXX`ZAVREg$t8R!vIE8-p(Jwz;F@98FC@y0_;s??Ilmok6ncJJ|J5VxyLz2 z7kt2D1?8mgvA1yd8Vqi*-}V4oDlxAd7(fd7RB#L%R`lvJ`U*U0*X))u`u^=I6qMyW z4vbRe>AoHLk8}dzvqC@7&$7WF6fQ?*Ak)}uH8T>^R&j7D-Y?s=_n%ehL;<`Q5_9d* zOZYsv{NF|X{X7vjLhdQjk*nQvO#?;T@&_aMnO}P^|)s)M~Rla)lEyxmXnh`WsGN( z(7FxQ?~1v>cYe=I_Z(0jl!q&@Rl>N_)^1x{5F1f69SR_`laQzj&-tC5kp}Z=+aNM#@Dq+s?I5(_^+MIwQ|zP>rX>vT5qmrc&GW|dCXyB<`( z%>Z}RXy={*+S1Y|nvj$!{GgDT>P{054rxRmUeGG zoUWUi#>UC`6iG4G6@cis3yoJ2L%p%zjzCG;}OE} zS=e|rbmPr#XqPB^;2SqH_Xa4qEbh`Q^b76J9jsqoP7yHz=pJCzN}ly`#qiy&!cZdQ z>!J`pM9E^QIRb+w^q~}Gj}nukC?oR@pF;R~)ijSGXamr9DqkE3ljyT(4g0w%%b}+EwVf zN0@@pNV=`?%HQaX@{HnH=PFjtc@o2Sb;C?^v-d7HF!)NOvjdmGgE+)DB7Hs{RYyBC ztuaB%(hvHF*$p_{okZR(d%2z>fNbd6=4HuCduE@G!nQNd;<6}(?z9q6(33&M<2<`S zqYpWVKZHAd2bG9&Z)3$?`&7t$K{oWwYNc*0^|P}7*(IQk@28O@-ZKjz11f0$($GqX zrNIZKLGIJ@3f~Y%FD{*_F-Epjt?cr0n@(uY6dC@-%HCJ7_)ARcOu%?IJ1hZ}!|#v( zk^+$kAX07bqohpF%p$WNXse}yu&c?w|*PDh1n8Vz5xOs^+>V;MW3h$U5IE9B71oeZ-lD zlALte(N1F1av;YT!eScB8TA~e`2kj5Q>0ajndPV=XaWPIh#uV-!kv;lPVqx6?dd{L z1M8lPEljbHCSW?$88%XD{a|}3c26-Mdo+rFz{C$?jvf$~&%*qL5#mT^I}oG6WXa;P zTi(Y&l5hA6+4lm|l|cYsX~du6tdu7fUu)}tiU64=V$$00I5ZKHm)vM9+u5Y~k)kKj zrvfZIX)cjQBkg zl$IB$|3yZ3a`@k-6p{PE!AGVJPD2Ex3{q4|{JR1^f_B^4+MuK`3F74>UTr@V+x$%b zw(;_9OQ^lUL%r~LbmiBtt*`Wcgj~#rX@`%D8Ax&#s1y~Cg|C`}TaFKjrz9yH#{Cxw z7GM4grRX+g4ykx3ZKhVGww97tSiss_NTz+=9bb6IZm&yiv)SA<2}x~aF3Kj2h2<#z zcMK(%O^?b;vN#;{BPx%XsPuWXv!8Z~6aP*rX!=Zc7Bwc|BZ8KH>54Nn@$>My^j{(XFAqd~L;2~6wTe!>>V1ocr{Pze?wazn zJ1wefc(qEC-y#k&T}9O#qHaA$a{GZM}Gp25r9IVjA)>YG_~eR0Uama+@lco zy%J{Ir7gimZn^mkwY$C-`$M}eLAWrEG#ZLk6#Lc6fh?n|hS#{kyA3^hx)&7|)I zLT51&x>JpMqhS7j0XThaq4Ce7i)jG>WK1Ff|5s4j?QMII{gbj5#( z!ElPV!3jf9r|RasQ1K9~!(93V#*@3Y8}%k!)Yo#`C^UA%q)&&m-PsyvZL65E`P)|P zpiy5u(~(~LIajIfYm?Z#wDfjtuGR4UTYF|@Q1OynV~ZWf%KqmC50jYm%gMHL*PT(1 zFZ_k-6~(iGHLvl`8Is*}YW_9x8?nz0xBrb7ySMh#_|Wypl{9BW5swu$v)VQ z9BG^8ciAbV{;ZYK8ScHl?=2}=SYFX^B=+h2&Wtt4)4iWTiW6@Er}(%FqsA`cKkYgRFszKxBl1A6^0 z=yU`Jf0NI)+w65X&h{uS6vv4qD}Fm5f@o1K@)i2n%7G`fU6J$eu(jvx6`}=dW%UIn(o@zaFotPT(;b6*WS7XBl-5;$Xh@JI2eEb z9q3vjGI0^oU>sU5l^)~_o7eoFFTI^?{80OOf4g2}DiLq8BruSq=*phi;C68P>uyhZ zr|VeXhsdMmyjUJoQwvcqIYw!^K{22xeooA0{o0__JRQtz+YpYJw=Cvn;*H%UO2E{G zz%o12*Z0h{07+00*of6ncUlFAzdW#|ZpJh1-$W9x)|V3sRv`njf zH!D=F!!Wcz*D|H0&S-7JyFu^QfgUDBY*-BCq&Pr7yhpX;R@BYI;MXFGPauN zJk+OA|0i(Qd(E6h@lTU;#`r$S0sTd#*BPRe7flrrJy5m{kPP=xE8qsDK%XpCC)61r{It3T@ zFTVpG0)UoSlH=AmbjPky0c%Lo1;0*6DJjwT&%A)va7S;ge`ICPi$shr(cA-0Dtf8+ z%+R2y@G|c2MR0##g#LYerznf$9C(d}n1D#$DhLEqN1&}o*G$f$LQ9d8eBupnFXWB7N`H%=|pG%LR^ApD$$pDun-`5R^>` zZMh6zEnVsL=aQDzZMn$5XZGxDl1bGZJ3aPfLDhv}sJKM60Bo)||K;G5a{?;f{iWg&mI_uhmSL7BO1z4#rsq@xxFk7J zLvXF;UFD&{Op85K^E)mNm)j#cl@4uICc1aa*oO1iZU_(WHm5t)EjL2jY1sO$qYc@H zEG)>YoL@QytCP3c9z`Es`GA8ew7Jv5fQS4HbmQPN*G{9INZ~efx6XgKzjye;e;YG) z;D1{fifjFJAO0=4uNxkv9R8-HcT6hUP7rGBJZilWJ*mR-qRe7P4(EIWO;HM#w4OFUbVQ^ zB_lQM&zWwYp$gXaqMV}iO49Gi!q4o_V-9|6_EV2{^r0%lM3WEB?vVnG zRs=w!Cj*v7zB~9*)>w?~K>$kQKiJSzACO=(@}jpbM?TKHvRfEjk4)s4y|ax_7)Nu2 zfsmUnoN~C#$oTN_nT70js0NbB;A|OpbpR=ViF^6G*QHJ;UM1+oPH^kfDeg%SocQ@| zR3^LfFxJ2F)A}enBLP||1+8CNW-l|dtnQqH#7h6q*WHv-Sfgg8K_1wsrM<3^?8Jxe z!u?Qo?dyR5O`F4;>h^^ELX3r zeMQ=BRh2LUb3#!QTBOF0BzOgq=;$Gcti}jso-U76Aoi?8!C8T*%C{$VSO(6DbtzP{ zi`md>w(zsU#aiB7f22dlWzjOiUsZe0wYcjPjho@t@Nws@Et(mT7ZYn@We1bTPP|Mq zGnSSXL>k&K5y~I|-`>aZ*yW$$iz$9Y0oTg@jI_b89Xybn4ceSSwUPb12Uhd9H)gU4 zp8|Z``fzzzApLfEp;HrdO}OS&7`G%1Z)koWk90M&6faY)F5M!IJ0f`?>JdoN_INwD z@=3xa5w=I?gH5o)(fl5uJT*r-%-_w8?pe&AKb@7_Ul7R!wqH9QyJL1s!|9c{*>W+6 z3<(|Sk$&W&qT+Zl6C~oifm|YQ?1p{e!>0g68p~8F|9~n|qP^?*m8LAAy}~80i~$mi z)zGHBs=1R%!*BlSCWhs}-Nw}oTA?v7%nq0TE#cK9V#m|OXODb-s5t&{`ojUw>M#Ib zRl>xvN($o%eEHORe<3}o7N}8LHT*-o<>)dN5&-FsSl3sO{_r-|8R#jUf2%g^n6Od% z3qz|gVnUPEmvM*i&hL!%NkwO8=UUC4DnLz8Q<5Gwm+$S>UjDMO|axSnF z0M{+yM>TYy{XzUd!uN4V5rI2-+&>@MF#X>8ywP;FbN%AfIU=l8X}TB+^Yugr-XYy& z9$xu)Ha4~V@V)_0|c{%#}@ z-JuE};R&;~A^+Ri8YA?>;SH7nW?3JZ=Gh^kuOLs&6>qPW)vHB?HeI46@X2oJ7w#l| z^6tmJy^h@s4lZKsg1DCLQ76BeHP+s7vf#sPqFxw;YVi*$TjM{p!v(dEPeV^T4EwJe za5Ge-wpkhdW@hP%q$G39!yQUV&EENQbfu7AocT!e-Wf3|@9G^FbWtT@TvsI6H**0x zDNw6!{%&oQXmJ{AfFi(xU(>VN$y5b*_C(4zdm8m1TrFADNGJlapRpN>&6 zD|~S3h6FF{xy*|&@d|t(~}BgrqLAmjW5*-c(SQC~o3F*^>=Y=P(g0+ukR??kKVw9sF4kf{_M3nxSLPn<0CEkRp* zw7MPc87wEHjZO0QUM4~wk=}5l~>%4|__Qkr_(RC>8XPQ5p zq=zn`jx%C4wND3&OZYXD`EP^ry3bTULX+Qi;Wu*!@96yi?TrQKs}@WL=H`&WuJv)` zM=%onsJeR3%w_mB4;GsBva32E1(O1HS}0TLN;sA|y%_9JKe~^CsBiB%LHpl2HzJa) zLKJr-Ywx^_ly_=!uQMz)fG*YC`oj%cE9gCF$LsF{SrI@M8;&eWaAiFRiybdu7OR*L zNaFnK0(PuTHaTv5-#%@03Zyn*51FqgQ7Zn6*{ho8dVa-m1DXSdJ_In}D-;^3PR*HG zM9)RxM5YO&0Gsy5%H9d@!Ogk36#Vh#df-?pFAq;y%sqEe_hX0qyGaQ(Uj(aI_ssS? zQ38D(4y725T}3R&>D;vHTf4iV1VoEd>&>&+X@OjCivV)l4?{&Bgf$V(6Q_^gCqU)4 z!X_c*joFf+2CsdGEF(wE7%o*=SnE3etm?sT&~w}Te7Ss~Gg6TM+5a^n$8x&eb0=7v z8!)_kOYyP&Bp!nmGfOuO>c1+T6i1lFneX~6pJ!%i-=zQ1y=Nvkh!tN+i{3^XG^c!f z<>chVFCY-cuH6q~1z;fQ-}%kF@LJ=cHqiZ(zk3)bg?f$uznSUZJCDLHMO5lAvq-&@ z+3I!3$1?-?&8kHY;wxFx#me_>0ICIGP+eUQ${g3FrKPz@;LWnkloTQydYc>%OPthuIF9Fwws$ zYxD>qG}l8qtgjFG7vo-9S_;kS(Be=#5SOQs+#iTly)k~690(9-h1;!K5XrSzWMB8= z_%~WVxo}Jz#PRD(^>*c&8i`0j;Z~)S024t6%v5 zx_bR7!nlR46jhfJGRop%vMcg8r&6^23?|lvgm{1UHZVOWR(^fFx3$3>=K1W=Bl4!W zu^t!!lP+k#KYl^3A<{v^t?J{2Yp&M-&#sCLKEO5ygzR1&53kbY%;Xf`XTD&mrf3;$ zYD6+VfEomON^acVUTE0ga0<0mqoHbWsWq0~^IXoh zwmjDZFuHM}=P<&4L(S^t7G$XA=1eyVzs=lKhk^1iODxFc6eFfJ0%5OErMl<(4W=!m ze2DM{%VsCJ|56%o+&ofVBhvT0g!d)(E0jD|&O&HZ0hk*PcUnLXGx;S^sSBR%G&}+V z;C6YeI6eXFKdYh?c!3UUZn{V{x+4<@!*kHt>tm73kXfMjBimABRv=$1^uN9QE1x%{ zCzXtW7I8zZ@XIw;mHkGg!;?`qb9n&wUD77$B6>5pXA-&H5AjVpAs>QqaZ5aQRg_kA zwV|mamXWb_Q0I3RSq8wTh9%*}85`K^f0R>Qo=nXwoC!L=Bdn;V=WUR-mE`>ZuveFP z;pxe-+PzR>&E$v(cZVV{kH=FJJ}WRHVgILmE*x=KS?>JGFOB~apWNf1=85~F!>V z6-#~7=LJ?NDJi{1#v_W%2@kD`Lu6TQ_HXb!QGea7*Gb_S?3FEHrL}-B^7~7$zLklg zp^HZa4P&Nc%jVNM+QPvC+qR>g@>>{78LEm1O7`fv@_)QyW$|b?j>=b1sAg$>3<>G} z@%{H0v3AMfeyD)NYFgAl}g08ruJe|KbrAQbpz>eczpf zU=lHH9fK9dM^|n~xBK|Uxmnkrj`bZioRIVFX(^PdF>lzNdLaRz-|J?XT{0l zE~QNxt2eIF6HS&f3#I4JhskY7T&odDdL6L)GHhYETtGx*1jB_x7^govCvXsNrc{jijp z?OM6)L4U27MX~uF)2YeNiz|!MUtXjweI#0!1HNB{sy%-E7zQ)JAfFHP50VlSd4i5h z$;*dvklj)A3wyANbR5O9IZQw<5~(;oFmHxmbRzvAiJQxU(q)}9)_-)VY+a5$>Q&#t zi`tJa!7nr%>Ju5A@(7h%Q_6&NTzb1YQu&{V{=<9Gz3Y_kY>oGYNO+mF&|)Y}B^@3l zo=o0nFZ{7s#&_iI*|(%V_qOYUNoXGH7(_8X%9k}Z95h4%h@*TNcf6{~da`x0Wxtv> zl*JqP<+$~CzaFXVv6@vb=b}vtKPx&1gC9{5b#N_Lq$UUF?Qig$RDW&T*C=w?^hCWM zH)m=Plf3C=ZuQTKu4@X4iJQ`Sl#AozBYnHx1uxR3KN8W)qiS&Eh-6%V=*_F#ax72B z=FMF4krU}hA6VH4+o-yj>hi-Z#D0yM;m2;%KJV5|<}Z%8%4fmfe#WX0?r&G$6n5ND zlGa$*jUapcx;vb{2p;oZzklla&b-cH+M?oO`TLJrzrM4uiw$(|c7G4CFcih-LWKi^ zD_MejLPc+4f=MiObUKg8e4%taffTwOI8_wsl0n6`p`pQcJtJPp6{CH0W*u`KTDB*O%YjOb&L~*rl|*QDwS9tR*ddc3}DY4b_ZCaV@zv^b4I_ zyZ&WNNY66a#e?6miHRb=diS$41zvo7zA?CrN&ondWYb@9AlQBJ!{U+4x#P4jgjl$4?%+k260W(ND72ZBu29iE3r_iU zlc9l_*#WT;9+h0Coq&>-NK@@z-dw$F2}Y>O1M{F}G!;K2!WHB9Hh8GntL7R`TMV2+ zN+XaK`Pe&qD_zDyR8>aC#_Jc4{vIfIF7)~JX_RwIAM=Uc{4%{;qmqJ;Ua! z8Y(voPZ;O+8J0Cn6MN+ARi6wg&3$BGtFHKH%f*ZI4zF$Cxv(3SZr4wz62b>xlKP~x zkXp*KeBch|H*$|pLu_YvDII^j604u!QRA)1bNC4R-_ZFaL907?Y|(pGL`1`85M!kN zXHAjtffdxPT#9rb;o;$3e`wymcs`Qw!*eC3JCmzS`F}YAvpp;q=U^c1T}Hq&y}m)r z66?0H{A6>?mb}cR>~PPMIy!6lbZfsV|yAXaljONb|i^03k_=5Wx?7Xb@%h2E`Y1Eh;x%yUrg0vB- zu=H!(SvV{ZcXLzF`no)-KoJ9UI#VP&U~YIzvF!Sd=5O@#* zs04m>xF3y3)>pf#P^)rb@!=nyk{`I0lXv~Mws6`$dWt2uzwatLRpqQssVz;_Q={3n z?oE#0A|nG?O{bT@P}VTu&qO2k!wR&Nre?+~E?!Y_{M|;`hi|dA;-zZ1=+1I4CSmWi zT*yZ}j{eH4BKr?}Sf8h`(-*Zw@?Oy8{KPxrqV(3}k$8O7I<1YzoU&T>V@+EO-CF>N zF_WH!f409Ut7@mD2xbQ|i3G#5H_x1EF; zxKb@%jXS=x+cn|3{J$S2E&K9ti+C`w7h@>$TEKZ}kmG^uPwNwfrrp;)hB-e$z3^gu zPYNmWW?C#mptA)J=AE~4{*;LMmU^$-4^Wf zCW;0wH*$)c$e{VYOH0a5&&G~m?0BI8p6O|QB2Ti6*v)5-1{;*x5>}~K_R6*}1beRr zsw@e#2ewqN^fKrj5RpewY=!CB>XY}4ReRF074mqoTxa&Yyi|-{C}|YrVxDKZkY+!yCRmg-BJy zPt%*ZoUh-k+RpsECwlAZRp#q)kppoUu=r6fB|5%T(-H?Z7Dtc1vWbB=r^<{tGoYx| z?Hx#PG5aLgza)CLBGbl1+3D_=H2$LmS1`j3(>BfpBJ_OW-+z3dSLtEr%F5LP4YQbI zcy43k(4_n56d`pmb=Pz((%MXPgcDBpCXVXly+NF1nXx;K#tg*=smVWBw@w*_Wb4BDR=W98Ej~aJg7&H z|JRfhuR{FH+*2y*>czJ6J@BA9oH@6dpK)(a5r)RDl@8JsHkFrQIIoVA)v%eg9F?#_ zzW~-avPISTs0M0{kGlm=WOOAO+r-!ulo^?r3#A}opyG1%G6C%gi;^|h5KIMMeXrpuV25eel7ZJ zO^N5$=7fVI=`x;6N_)}y9CwLYhMF42rnb?5hvQ^PUYeTXhEDaqa@tNmbl+jm?EZRC+OKDnKWo{OY4e8gGcqQorTG+|$&5Rd?{=`e zt0nnRywuOa#fnZ}pwU2uQ6e1qA!ISgcjv;6l>7EgHVd}6o(0VZcRrrU;aFpKykUJV zw#MA>MYE+bhaJ}ieVv%7gRg?2MTtD8$g6I?elzmt?6G67>3(y&U=)0On*z8MlK=E* zTCSdqW8iHoxEVMr>twjw84EYQ`UP ziOYDWsMFPCw!_f)Hkil*qu|)tTlI4il9HrrTElPt?n+g1BPvwYEOKrjVq=Vd;!RX| zGRLep3*Iaspb;*E_vGMd#j2{RHEscc(odhhHSl`5oJNThn};QnTZ(Pmd@2g3)!$PK zMHHUQWT1&(v>4q{97FoQ4htWiXcxKUEgSH-#3_;**|%QDKuvwKnQGjQOFV?y)sv`D zVtuJ}+0^X4#tpK)aueBd=@_y?117oW0u=F$;ohBIn!g=p;ym++&YwH?&eyjKLviU+ zq4~h=HCn8inRGP-F$Dz%&UqT73J=AlTEv79V+!$1KDzusFb8}2c*;VSt)>wPyOS!e z1F4^pVc(tg>GZ9cCXUKmv$3CQ&0TCt*3CR_<%W6{lwG$rJF#4OSkbNV{ECvCTx)Bz z0ASZA>z+@yx^9no$_s6D!M$j(S+v+*8jJfY$*tj!HJSHrXcjyJ1s*80?49C>zVlqd z!q*@154*%fOB?cPx~@!3UPtSb1XL!&BKO{D8rua~CrJvy=c1r>0dihz{DS){)oz=~ zPp#*hEx1}qQ$34#ir!!55+`5ybd<<(S9ii8_RW`-xVOl^)DS z>eaT_e(@r25b923TQNh4Z=wrr=T$ef)gC=E=?L!~zkQolCCt$4dd@0KO(yZU-RgMl zT;-0&)O(YiqL!khLiPqC6|RyEI*apruFl1F6jU1_0`PdozdFze!7E%JZo7B$b^UU# zWj{JpC|Pes1d#pJ2g3w;fi7ORZ}r&6f4*(q{*g6Fh*o=YZ>cof?SA$V3gQzddt5?c z%>Cs>Q5kvRTep<2a8#z8+2JV_6qm3VENYLl*|}ac9pg-?>b6|Ib-Pmp8TV!~{POVm zfr8Z+L2>GojW%s3yD$Q~hJ&pUj*TC`#s-U@UwiM!W`Q_A8BQ<|7B{80cu!O~_s_ni zjTc$r?`yKXH)-hdi3>drDlS@99u%aRgO55P_U*JEG1X7sw6rvkr)g)Fq2%OZtz!bF z|CQztL%LqIM~=`14HaQSh&F7?D~ej3vet&Oa?|YE-zP^vC3oU7++a& z4mP%Ot-TSKT;n!X*NvpzY2th+Bto-}b+H}C8C#ZgnYN|5RQ~1WkK8s+iVX=;LCu%f zH3kVvgyid8eta5O^U{p1&&>Ny_U?X*P9XAoeSIBH1PuvEU_gLX{T2HkKRXD=?WSIf zURkH*zI21p;{3KN>xUcp4UzG!m2k+^7W4uMkJ9r=SiL;4E`O)4f5WG|@U4=emPY|u zP9y7@f~Z-Or!S4jr=kM4F=A~NwXA8L=KbW`%cHFfDnC455>wIhjoK{crN?H8 zr(a1`|Ey$7lOYw|&)z-f!|nL^u}fZoi&x|HDLl{FVGXJ1>jul^B3hcY^Xb_YHbvd+Xs$R{4yP!8HtvtxWz~GUMUCP@FxLHSmK8fmX=P(_WXbZe1%1zCH;}ec`(=3k zH!NnTTgg_c((PbktlVjX%eFba=)I5B&zltSK3!6SySFV0El092?l2Xa;$^ma?$r0U z=WI&xnYs^q-{GAj3+J`y6nHWdj<0Zkj=|#nx@%-iOiXwBE^Jww;JUBi zeNTcbl;!pypH1xRmUsZ(0(K&icDQ*-*(?Tdvsts6?F#ro?Qi3=;Vwe-g= z_UCgOoO)Dip3E-vqRsO~H7aWf^;I`)*Ba?g#m5@{3fqOM% z3CxtG!PP6|^3k5mnLEtjF{ty^3p34|a`8%?_DnhSm>H==K5wNZ?&Pumc|$1ttL}`P zYD{G0fbyXh!oPXm-+s1FTS#SEXm{rG+P5!Xz9=QjedM2#6%uhTG9L#1()`LmLoW}P z>ersNT|PzQqT5l#GrLbT-eWFcxA4%c8nbAL(9;}4{g5NP9lnsr*`#^(^5xxkJUwJX z!dzL;*K@y2Jia607ySG9TrZ8PqM~BLlgE$q)?5&;)LugCR3wXFsW&@TCdAmtsJLGw z_NIY^QvRKtg{+vgpw?IsnoF0Mc%~;OKMGCBmb;y{cCPiyGfna&q#0fr)-JV6bsll} zeLkozQ>vGc)EYLJR!Au$X zx*t3;Nme{Gb|Jyg*jUE=M%nQ-+A!IQ%750^3s1qVHu6^W-5Qjl?x+_>R7S_d49}Fe zG>=&1AxqdDmeVMA%6C%AJ78{U>e_1}DpU)Oi0JPcUH$AYthoH4CfD(Ik1zWFV~Vzh zohQ{xZ099}Pxy|KR~?NBctVGWi0EWyOkQ^k7PN!xPMPmjn)r71?m~&gxp2bNp%a;P z1?B@~Tb^d~d#=D1fjwY{G&5Ck*0QTgF3T)Ab6HJGYr(1)T%ic{k?eL%G0pLYW9-nB`jseEa8Sw7uCKaZTPdbhmuV6Gq~v1li9py-SX9YSepI_wEu$k;cpYNT_=ddygp4%XpIEWC3D{P*6sZ0VXMRSC)!mdtB zgT*iu^1a`=h}qcET?ABo?qcelF~w=fPw&$&s|DI;=SSmf%d&QMB!q=-Q*>h><>mmK|Z;p<=#D>(vIn=De38A zy-WX(talEQ?0KR`$F{L!+ctL09ox2N2is$F$F^b?a7l z^{vcvGV`Q%`ugZ-`_#IqsHkZpCLUh-CqP_8#Q(F86;36PHFW$4cO-_O!oAC*8*p{j z(BXQ6X+ZHv#6l(!b(2vGbeRNsw(ix`ilF}U`4l#@1-#W6L}&`3I7rpgdDPH{>|z1i zpZq|~Z+*JWm+;@d0^6$FjOfrOx3+R8K`B?apV3+scWtHr$9^L_1vWFJ12O4AlGra* zwO4h=EY|Yl0Sbwo-Nt*2f@x0 z*>h`YpZ$JZ(l|0y`~9D>0pvKphoO=c-cexCUC@qqp;#*y!ja5@5%q@~93V_uAbVh#Y17bhm#F9+i4!NI}x z$8K;kW4?Akk(})aXOnCI6$QoXZTHQ*mBUVV*GC#FBk_liROH4kitJNW!KOmUs7Vpj zJ{H3dAToMMXfSZ+!zGPP!VA;Ub^)?7cO-;Qxs6@mU|@lpvf-lzhjry>-`jY9fHKT~ znz2HETRGXl0-D-W(BdV>Ou}_u$nD7rO#YvdgA7$Xz$so)^t_aSVrCUPn1Zu-N&6q# zq|T;OW~`4HL$U&Y?$?0|{MA|w5<2U^o+hTi&evG7Q@R1~*F8C_Y+wxbfnxLmZ%9sm z7*K)177aGBFr61#`>N&}7W5LHp5!p#=}`elBl-Vs)#armR3vVlqTyyfg3BYJBdj)= zBeavFzj1nM`RK7`%X#U+VmV99>BqJ^`-`FGY%+$;IjY%@7Kl(94GH=FQ9IJi1sU<634ZYW~M?~rY{B?DQ2%TZv_4B$JXxeM60YjblG z=!XHfASftkaAai1d4i#)>nXjNgbbmd#NOmU#mjt~{q%|d{U7PwJJ5+dbZ<*(4F)~n zEYPWON+_PuRk9S)6aSObW>~h#_>9)lcntjYZmf~dfUev+5=^?EUvKViZ7xd12SRBN zy9C+D`)$A<=3oiH0Vg*(J1u3No$gR&@0GSO00|EKpavySmYyRK13sC=$o%;Wc z1Hl;tx=}^YO+arA7)jPg1Obtg)OP%jHca8n(f~f6z0yD<*q=uq=8<01n1df^J^Le?s^74MZ5&*uN z6xO3Gkg`!ofdbA<0qlD6L<79cka0eSZ2%qkkpOT;;QfF^++oiKkidkrYAU)sX2nfG z{RdVL;}`xx1O?JmmO@eihmjKH2*--d&cO-CBxPo0Vd+ZD&CHWB#>ER-iR7`>R)|1QU3CuSygFt&!{=Z9mGGqbmFwIpWc;YrD( zf}{a-;Y~OnHs4m)q#l%7Lk}l_9LN;8uV|mtNz-=7IM@2-niGfXBhe)MxTGB$DZxh+ zgp_utIEpNWWyg>H{HZ*;$< zes`ZW$}!V|P4sp1t@Nilbz^#Y0UQ`|?#`-PU^n%cJE*u(Q~_hG#m{>BimjvL>j`aEaBTA=)^NIp{%v zi~rYOHvXX?CGfln2$F$H0!1)VQna)kQWM&QjIE2tujbQ#a4SEx+#sG1KlS@!H@v(6 zaUH%YD}Q$0!5Kb6|0q26Nzy#Dpgy~-t#qG{zlCH!%P(cF6F4`n!6F5?VuAEIC!iAf zy}>!MbzP>Dozi5MGgPkl^ZE_SgP&ktf-_|C?x3owVuG$XqKGmQuK%q6=^KVobKtN; zfkDXujhmKJQg^X3i_;Rqj-~kS6T@o-5YTfj!)(Pm&86g-kYgEx=8^O@*xMi$FnfFo z6vDcs3V>7zAg+fA%D+GrU)zv=YQ=c5R9G_VhiMK#hWvCrx~-0oP3l38(s*bEtZIB= z@{;t*N9*|N{22F*l?eQ}r#R?qPE112)5{f!oZDS}olf=fmTo0oeJG3Op5kBtblaT~ zi5MR6>Sm#qC|8%OjM{C=&Hpta*rm^_rJQSTw_HjLrvD5=Ib4(9MyP> z+FwaIbJ#_}1ym`EfD{BM>8F9-3GC(P?CXmNL0^+qB|nv%AMmW)QtYz!eVEkIDj6C) ze4R=Qv=%nYXWiiSF)YX+G=JCu`tf^h64OW8b|@Q3|w|!7q?TMNggci`@0e|x8R+g3Ses?u={zAHxJtj)!QgQn~t7!PkrZ7-Dar^1#=hZeQ9Io_=N&n;%+|2_oIppzBV3<&$;DxkffDyorD>&n(>FPUr+ z+v;*z!Ts186$B3#tN=d)r09{F9IX!6C;A4&+y6nE3ZE zBVln2HA8J_jpSw#aHaD|+}~1s)F2V=KvB*vv5T2*l7ub!4p+{tuCJCLuUUZS8aG}ROh#-`F#)3Zva(aGpye_2DEs0*>} z|6Ffu1J)qTpa3v{Tl@vgU@EhVIDG=GzSLq-nMil=<3kH^%ao^Km_|zcmTOYT+ESVh zN>$jb;B@+Zll}Qwuhyc_YV_1!e~&~U8djZ^O|p3jeDPHxL;OTQvHY&WFzv?$N$%T~ z=iK(W!DTe-8tM(>qd&gxH_PlQy+2Ym_7@+`5cH6pILMI!`)rGxnj~tNpr@a=c5xoc zIgyuBW%=;Rw>1zr$F$^$O7~os1mf3Z>fB0nYCl(g)2Hxihn;~*mGEoHz_hv_kH5ic zOkc|Ug6HK?nWredp(=y$Od&z76{H0_SbDp;~ zam3nj^tWE8m-@=sNUJe##&4>=*kHUZY!T}*8d(y~(u0`qS67tI{=Y@SJ7B<^m%8&K zrKCuymX^i#R>Ws72K2Fdb%X)!HdCST*M~O;<`9_{K;el8$AaqzrWX-;*e!Da&GATx zNs=E!t4g-N5Tpvrq@(M7rWOU3J9M#-7`qZ(3}=)1qzHY?Q_YA1Ri?Mo@23UaVU2E7 z{Ic4P(B7Kfh(~h(|N9kmH%~7iGjfsNh7VHeNVF0Uyt}@gVD@M9Fctit!esh|R|(mH z#yK$`Kbr6?f-WXvp zhFHtEOxWmpb_{BiiAOXILni7x)33E*qlK0htZ?}dXCt-s2`>1{Ny{B&$SV;(km#cjnTZ!q2-=~Ns=7FG)4*W zkxBiaTRJFc?G16iR$;0zd0}dd`&gGFPm+FarCEPE_WXpsu+B}E3>y+H&-<_Ry~!|J z82}rO2IP+ZW~c(qWY6M3WdAQ*fQc>?^`IG8D6JxGruD4$Q6yu4Ji+ZgO=`$7B{pf= zdd9+%eh}QI0IgCGormCKp(skgY@|^!n3u+M^i;i};KxQpG ztoQkD_7Ldk3t{eeciCI<*K^J@fHou#9$*_f8LlD*xiz_1@@u~+-;9Tw<^U7G?}dyAf8*u>M@21Q$`~9t0UGt|p-z&)gow}VMHn(z*;P=@=x(GTeuR>e z!^OVQI)OOw=p6_5_?{m8X+e#`dMl2m$Xpay5|-u1|4jNG)?$4g?bj2z1%yzuSw2f4vRBTc<`pG)`($!uO|Z$!xmo?c@Js9 z-EOqTYaNA^pA-#l@bFFV1ulBd`eP-G3uF>08XS`oBmEsVTo;^E;uH#0hZ~{<`6}mkxtbMybw1 zV{y68cz{Jvd|!uaPv*y9TuSy#QHmc3dAQu%NrPO6Y7q2ekpO$HV@qjo0DsQTvFdRo zzmgA*AwKq}fw(+Tp}msvR;Il@EYhP_2rNc{KQh5kNm#S}S}wxKBFRrF0svz%Qg0!X zIw%4S8NLdXaJ)3cNTNUU=VV5rpFHgDKU$t*@TMPKbm=*te_uDa2rX*daPdvqHA0rF zez}_xEDl7@O-dU4$ibsZt<9DYL zCi}vsuykYevK)4!vV+&xunW+A+{}dKUhs0Qii<4t!UKcLD(Ahb|Pa7TnnP zcWgn19#R&)YGkt6e9X?i3fCBM=6H0_7sr$6oYdl^)D55BhEn!*fm%~HH@QPLi^*if zfg3Hfil$jUYZ??}Z4FSFmu05az!cqp>cm*7DmL$omxD4J*)qow;xV7dvbe$L3Yu%o z!MmYADUaUW8}0(IbP4DRH?Sr~=8B^TH6>Z9(1cZNi|T%g+H=ceqY#t*$m}~fVG#&E z>j0Z5V-!#VeE8p6{i2XxPv5Cz8@rP&W}}~&Gi4W76Bw0PJ-Ji#8#bC#TF+SGBH)`6 z8$oDPA%&jy+DVqrXf+9G(0aY&nrIWyrTn%6jU2*7`$Co= ziE-u&zE~6W@_)WQCfEPz>$7pE?8-sV0+w`ST@EcGec>eOoj(@#eLJ6Z43Qru=H8f$v7N#2(%*EE=Gqktr&JI;1I7}-D z0>(B)(Jg}XGWF zzmI;lzMrMk0KTrKti}re7Vlm>JU0+2So$bFf4<6^VI^}{QFK?D#yGZ7^N``S-dtPX zisUZ95~zq%!?St9sWEcd=`cM%o;70p#eTO_X-a81x8AW`-?Fl*qTA+pr~6RbEv@q4 zo0*AhNDxxQkrT(Z?ZYKY9E0o(0^p2bPn;(h07@b;KVAj`&_F8yC(-@0a?j0PU@azz4R0XgJrG8#aBOz$dbZTNoCDQ zlcH2vWzGC$n01(u=I0l8i6u`+39#d1EOy4N3fbuA(=PCY>15{D3urd=?ce(81+S@djYnZcebX4o`T*d2=&*cJt;8k;(>l7%> zwb2XIxb7ViJyc1Hj1AcY0LmF@BdBI>=2*OZ@Z-p99hDniI$p3qk+%H8n>#1rGg!JF zUK&-WKjU_{B$JiDSsQAD{BsW`xz5WWMS7nc)e>bfq18et$Y4$cWFcDOu?%Wf_I!6o zJaP2wD>5qdaJU%$oErm{2KhSN8Y%~Bwe`5(xqn!JRl_dVYs`hI1NitRl22k$?Ze{YR6$imK7I0+B>iQ!#>&LO)%YCJ;6VqGuQTqS z8-z$rOP6{h-8CTwp$H(@{FcC+>XJh>IeaktFnpyTn=hM=KGYwJ)*=_b5q!F6Je-EI z+eg`g%JFv(@vy(CSgjP&wO@Cn5*NO*tZNIFhhH8~Jnzz~0nB2nm2{sNC2zPNbtUu+ z$XoOjJmRHMkKK2k8@ zh7@(EHX2A^4}*q)NQblN*4^k}1WTgIV02ViXPhW#8HYyCNR!%r?ABt4=hirB$BAAt z!0XRmuqKxZ1Lio+Ib0W#YwsO0th0Vc=9@Z3PW?=E(;Ol>5Jf5X>i$Ygn@1Z@fQeu7 zj<5a-Tc7Ay(q}>=Reg^d0wb_cNg((~fx0PpmLFqZX0a66VXcw2#tmZDBYp7Wi{~L?c``#mTSH z1UmNu4-->_9Fyh=9SW`)3;O!@WyB)70EvjQ#THt>%Y>>EOIRrC(TU-Ox`) zTWKj*Lae4iJ>_#*lqgOu0W%Qw2eC)jdMOeWj;={wUkh&nUo7SI=Czf%XB8zhLjo0L zYf`ZpF2H#kHS%<}Z_wfQC?rCD(3{jre&Q7i68%A!LrK><|bg~$*NO^C~aghNCD-B=$D2jX!%>FJ*%14=dJ_9A_pSK zjLzMI0rHPBL#&h07rPVuym&qw--oz^lL#NH2wgLYTA1?Yt&^7OhQGW%-&7Hka?0~^ zX_KiLP>lP12sWScf*QhtjcO}cc24+f)M1!InY|Z{5;we{saddaY9ZLEuNgP3)|W2p z-vKF8nRKD8b;e*!1VZwO7N%HX`DF0qJ*$$+z#Z< zzPo(8^!&(p^bL&BJMJYITn|RGz)q3WSmz;AZ92S?gE$Bq1j=PH!SBTuj@4FMeERE5 z(P9Po%Cf_4Gb-y>wus{OE7a>0(F)@oPrySy2f3e{0QFWFEcm*BAGosyLvQg=*2<$G z(M{@=1>b~b#NB$@{<|IFsfc+JO7LVM5_|>gd4>9(c|wIAt`uyjrd#qB4_9K;byA1; z=pE&?ewHeFCvxWyEnC#zA391$X>_=g*DusrL6hz4`E|-%70Gx}yS{+EIV67gCqxtg?3ewl#0acdkDJ)=JM`h^09n(${`x;O+Ly0Y+n;EAn7hT0W zU$|{{5$ONxUR-7kDgnz$x}IsrBmA*EG+*rP|y(g@A$o} z;x!L;?_J}LaLD8z>!AOTu5(vO@&Wm0)!Lwg z)V}PneEa5;dNxWRB@l(ywvA9kn^iFp2!TlH5d3~4_LCdzCGnwKmu)o{CVgf|%wwLK zT-t&Hqdykr$tN*A{rXCKkykn@iI@xSv%W=MZHK{PF9M_(9J{O8ay!!6kz5pit)w{# z-mzfZIR5+N{f*v@_bcH?3MHUvzhs*vQD@xjfxXP#c&zoJ4jd;O)F!8WN+CGItP7qP z=f??@Lx_R8bdzi}k?-vZ!;9G{TZJ3M$vLtnh<9=zZ6b_K&LC9ww9eLw0-6J6($Ls$ zt!|1gH?9j8mDoCH4|)Cw1l9ZrJk;*$MV!ivCoP-dL)>bWkhuOaSO)+~84;RNkzj?y z4z-~5ih%Y8+l>5;mD1QmGOEEOML%zF`_;5$;%781V{^tiGu(Y|FHyeeaSKw)-tMCo z%#YW3zJ!3%J%pQ|g37y3piR%Xh)d72N}pw=zAz0@hh`B2+4{%M}w| zFLn}SQ!LS{Vy^PBV}?MVC-}OWvtwF_=Q7FX(Dck5Q<46ltlT03`+S&f{3Bdo8;0tM z8?K#b_?85K5e;pfJ`4r#iKb%0-s$Y3Y%Hqvrt6ITCrH}<^VTbsiVhs~cgFICL#U!h zI*tYB+O-1Z?FV5UTfVppNYXfQv?kWr;zH(ir&kca_7-1kasq%K&-2{K)#F0<2qh(7 z9N%40nBf|{^yo!1cPu->`8+nB@TjQ(ZPcQ!9@83HP$uVnep!jKH$bD*ed(MSpT|8V z^@oU~;IHI*l#(>Ol_Gs$F)n7VV=bJm^H|oHu|=%x^H;P`b#k1(gk%6vmVuIFZjjA+ z=NX)|2l8?+R+XDSbR$^wZ0y^widN8`78TGb_$c}oUM!}!OzPQ&l5Lb6tet1prk$nEhWHr>J{u3C=-Edf zkn$|#BdzB5qFk#+pFuYVN{rOWU;L{l?)1aOwg3jr)9_~;E=N>zxAnJRDa?;YwXKk} zXBagWr~svNN4mn)O2BWJ4DLIl1!Ut$7=>Af_#V9R)HMcUkm0R3#cZ=WhLVCOg!C#D zBLnR;C4vp{`%(**5l$A)Z@G@Ybpgg5zu+K7&emfmFQC93S)qGP_J=0@;*U|t!8Jy% z?f@H0@a+G5dH#o$oR1!KB!}xu>7Nb(8&(FxLml4T-m3aLVguJIV zUScEp6bT@?=MULog-M~0t|Q+){W03S5qCcw`{_%4}`5_tn z)xTqrHz44x3+?A>IrK%dLudKWs_)c^xc_HqC4;`zL^B9C%p8w0F7H&`HFl>JY7qXb zdiuFmhD3;wt7B|EhnW;Ixz5afI4fMz-6EmDZ1W*Ep1y>u%h(JdC=lwlDVw^Ri#D{AuVqX7 zM(<()ZfbX||35MUX*geSbL}`7NfUrBR~{v`=+W{G3e6s`C^F9Fd;S3BU;Uu#V!AE) zFFp{Vp>NFI(T?e?5uwhPYWtKmIgHsw5V-SBQp9mzqH1u%et&4WTV&Z)RS(BWe&g)t z$@^;G(Va86s(1!Fs-Zl|+);=7F*LT|9c5jw+A5n?@^*yaqUOe_H@@=nZi! zO347*wom%wS&fME3F22;*;-@WJhb8k7t1lr34CNh>Is+91AdrqvR$SARrU$pbYjWwc&Md`5vv4cMt=YIV z^!UP)8`h95O%yfDo#a>i=L*~^5EFib;YOfc{RfrNaafrDPpr(!!^Ql+fEq9`ChxM* z`j~By_pfMi60VPHZ0cdwGi%bFH7jfIl41>ECWWp*jWksTb$o*BFEo)^a=6?;%TbbUchSmy+exe;|5O>&MQb-T-wp?E9X0Xd7a4Y|oa0?R{@j?S6-)ctTDmJcgx+G> z_9>0H1gzc2f0{eA6%+mwqwrT*F8hD_x_|Km%KIqOhn)D+~-N`-StJ_G%kf9*=Y$qd#7kb`J zE6)+3f`JTMfXs<`;`4|)n!orBHl09|>WM31!OT2$h!uqsBYW|Q+Q$ORPGn7gJZGH< z(qMLp>3wRud3>EJg$FTDj{D>H{47nPZ?fvy+hG|n)LoxtBozi=O#Bi!ScQ-pX9ZU6 zk_OO&v9PI9O@b0=yavVQnwN^uK|W0fXVU(vt9Wk7wSjW8>WMHkGkk`*O=Jyc8xPuD z5I)+g6ge{DFZGFJFF4kU;cWh9378u9a}meuMF&;C8htj~z|?D_8_TLZ!xskQA9aT{ z%wn>tXyVhNx#0zD|C=>AW8KYFC3Br>otCiD57Yl~upGNv?s?a~-am&Znj!=4O5WL8 z-K-XRbDfe#*}~p}WRGK5i#%41k$Jfany1d7UFc$`D z1pL!osICYLJ|yOCg5exOz~e5Oj8ajo8`2Vw|Iw&4MQ_~`{@$|NdoP#j0{DxHVjQ8h zHv<&HLDd)OtaUUNEOOj`YD|D{<@~f@qeb-n#S$cO?J~ZV*O3!?RW=82uSq$SI5*9F zgpPnd)x8d=Ip4}VEuUpq+hkXR`Xx`4O1Xb7-yrGBEbr=QAcT8F<71Re!W@J)IxKw>-CZ-q4OFg@eETLGjmdtL+qp2W? zh4WSCP#o4P4%yq_r$UDKA<;~F@?z?*QY&${;vxk=+H!|8V8dvd!mPe(F1ef0EIkpC zLC-|0m)};*1>&jQT5xA6r&VbJGZh{3E$p9`l=2-3X2*m7EP_7@X?tw&u`T_ii+RIC zyi)1>N1YPR&Ff`>@D=e|*lDO4?#lPh#oa!#X$ojLU7GPRz5FBr4GGCsYEi;dopzuy zBdrR6+U9Xg9A4M`46Fc&KfRk*nHhN5S&}*Y41TP$nkdTTN81D(r-G8syj;_2=VH zOf|+7|HOR^v$!~v5Q*&0YpM*aPPx-x*9*_Ctn`2QNrYa7V8zM!ppn&%4ruAv$$a<8 zpBy3&JT}|Ym77%7>>3FNe?EORQ^NNC@*Q*_UERSr7i5_09|OyQ6hL`e?x96e)%o%R zsIV=`dkW0rXmn2=$5Q901|C3#r)=QI#`7gv2K@`yMl5$`!MkyR2NVo|>`uFcfXvLs z!dEBsG;e43<@Qm`q+Kw%=G4&YqSvjE&ThIp6=3{>d62H9R>TQHrpk0 zx!NTY-2kl#_Pw06W4Y;dbbE}h>|N@bM7Y0^BE?ut(l$etMjZ=Ll88$;Ag4ME025L& zCX6gPhOJxVFHm8VJ-tlz|3we(KICQ4`-eq%BY8-^arqEemZT_6Q}YB8$We!zVHpaT z9M6_KoBxH9wI6W4LqDON_8Gm==#zj=&)NVzC6^7|lK8B4U#-wQCQoY&7S^JOkxV%5}t#C3LkW8{=$;_ECHpZZgqh1{9vy?{6K&gFDx)B9kOo4ktA_X6StpO|X~TG#6o+WaY`!50OWrEkw1uLMb!gOI za*HqnEXy08ga!QCrXg3a1maNEV=?@EkCW4cWM-;5`Q?QxfCCD`*)f7Gp)HK`r2XH_h~1ffWfrMN|A?tvG$mSLu(n0D z`z(zre4vh|Mk%q4mv8Q2;x=dFG9k%MtNlbw@zuJ5cMAF|~yD3xEe6&PmQc44{ zR*X_mmo;vIWr#E_CAmmpxLZux(kmNV>+e8Zx)j3#x--9RVvd_p%~vmZ=Q znc~EXt4r_g70*lQ`;|<&w^>r9j}ZH%0dLsL@op#uda@ArSS3@;tJqmg*DZ~=jt?Lj zE7jKxUvi8qGD;i*Q*RLrddRYSSurz;9pCM?N!t(q^kh{Y07o)+hg}=(bm=pVjH!!) zKa;MEIZ01`oLRGJJVR@wn((=)G^=`EaeY0^7QgrK6yn%wdu2dj9%5+0FY64vI)1LAD}hilC5qlvwNfRe2>Cfo^6T@VUsuwBJ0h+QUcGzYwb1S1THTrCr&{%DE5_M#AE zbw19}>C%-??|fOI_j1M|nTgRuEwGwump-N`NKv`g00i+iSj?sBKeB5yNA2&P5? zz_|@5Ca%360c9SsQi85eWYq=ISifU`$*>bx z!aceXvfY1)k}#(vv2Q0wOOfB8$(Iib|8wb6oS)z@(OFrTS^nQdH&$X6P7XHalz23F zOb9M6VAdOpG6WSM>Jd^&&t@J9uAq+~U|@J_Ym1_l&vr8_w-2n3p|zs}ogVno(V;(` znKqVo{atZYrPuW2)t@VWKN$>%3=g|= zK7}+BVl|tCsKDD0??$%LcQtgdG4#$ZA2Q|VH31T~Lc8)R@`9W4=Aics%J9JkgE2ru zh%mo81gT6U;k_-Wyr|&Md#p`gCZ;4ahHT}A{;BrFaAYMADU_xJp0$B)p{vZ~T*tsnyLYUu?hH0rF zlvu;lAY{2|!3-Bf*F?s-|8`yuJ_r~#LD!>*4n`mhKhB?bxVBxfaB(z%b0!*AN);LA=K>Iv<_i!NJfw;FB6h`-3kQuqv~bz7E>@ zrSM#!_$|HmxWgv=dJUNe_EE$1yCZfC5{&vAp&f|~zu-WUr_fF#X(b2ct z?6-r&KI8K8_q@uN{LA+o{<@~7_eaJpOB>@fkq)uNa~*v1cSDh}>BAZZlP_)~F-b`=KPByqEY6+6fFt{F|5&Bybgg3XSe3vX5*G z#VqwDLJtB}CKN`{OZ*P)`;zz_DCqO&m1*A;f|>e5gh(*yD;GIu9DqXSCvwyic1~t9 zAaqI=Fh}%&+V|3PT7$%v`T_n&74(DY!;*MlC-gn^CO+sN(F=C{%YelzJfQt+pwGaI z4|@c#3Q(H-0u{RB{AM!!Jnd==?Rp&{cn`fLX?TJDkQ%!qx+&m12ZEt}+ppf(DvOtc zh|2=HW+Ju+acR)S>XX7*Wjm-O9=qz^hiRj(xIo6%Ux9~f5KUL7#?G62!3BvVL zlEs$DwItT&BDODdMri62(29VQIYr?AeYztFI&JU%&HPf@cLcnZ&k7)O82XcFJ5A{0 z_s7_G;5+8&OH0GI7On}la_Z~uf8KPN06?U(E z?lR_9KH;*QN_p-#Bkz~4MF+yB>==e#kag>HOFwSCZNY;U{l4O~>&xt7DfX2VTZ_j+Y1+Yc z&^!x!?KTxE{cAQr8-FrBw!uJSLNzsuw@$jQsrIJNL0OV=OduHfkBrH*Hx_14&Ha>x zV~_+QJ>=8i^mwTe`a88D4;0qIZPDA9dv3hDc{^?iuXY7)>;(8I4UA2mK;UQux!eJ* z6jbEH!Y#cIk%9D0k_m^fyyYJ^RM+gxGIu5KAqgWVwx1V(*fo^R+dR9blK0vk{y)al z9GQu6!E(%yT4Y*(zwdrqtMY8<$XU(O+XyB#vsuPQU8ZeWArJA?H*rN7ktEwxC(=e@`lbbY7b zVbB?kh?#wTh^~1l+^inbaYn=+8WXJ?J_bEH%CdlIfLm5ML1LHz743VVlzzUyMb=9+ zY-~-OHfuNBUu>3`{j$zy<9QyA85;gp{Dg-)!I7aq)(dJ#v-R`rZwa%>3vN2K(+=s? ztdTrHJ$}55vt#wx5lHc!)^)!`T|~GgV|7F9l-_JG4kh>Vqjk~9t*c&R1FF@9pt3Sf zhi*E%0m<%`N1BCqrlT4IfOrzqU7vo+Zoh1C#$*ibeajs5T`I<@QTY*9!B?KsVKIR= zeB&vo6;LY17~;zA`$3FCIpK$8_~a2eJwU*_mH8qFS7w3^S^LpOQj;|elB!Cs>U6YU zvknc;^l}&rLfdk;2+5PFlli+gW@kb;xl$)FAb#Hky=h?^w107s3lqH>*JvQRliBn; zm*R31bpU5R$DBj1im6yii5D7HDJqotM+roT3^0V3NW)a0noLbTAkJxTGg(Dm)jSZB zQK)Zpoj_Y!Qm=ID)Q+BAgcl5TtytOhfCg)CiD-gz15j2CwasJuylX zVLMUhhG6ZAIRFOUiVRc|$mm$BsMo1;B>rau zmoo9?EE>+NFUIs%PovYO7Et6O+ePyNxJe4mul4gG_3t9S3E*)$T8KqrmBJej%D|u# z3dEzId*lj92d#ymlUeLr9i^@yH+`28w+Q6x65HER+^K6euW%#pdHrFP|8EBqd1SfE zNLZ)lUswyR54{LG zYiDw^+SB^tUrNDa)6!3k5$4k^r(;9jIzE%C5Frebev;$M19~gW$Rbur z<^eI>&+cevepROmmZpfB8B>19pY;(-ONHryj=G(}hlSh@dj>nZag&qQ93YqBLDu(0 zr&hV5PC<5S)~OMdQ;9g46%Z3MpeuLMm_RvQM3tgYVH9|Dt1Z*9poi@D7vAp+noTsZ zNE$M)56ZjzOF`B%eWMKqz`pP=#eCyA(O4go+g!mJN2@wn0%Bs5TK3fVt-#Kgi1#aB z%VD-;FyJ&xs?6;r>% zi?4+&61Qctew$isRSl%ScVh;aHgj~8apqj*bzkyfuSbfP| z8WA%Nf7B`yB`Bx&FUj;wnULGVUg)^&9(6mGb6tS1oiDOkR!_@o2t@5sVL!IKkT%!+ zrNN}1*NFg;S`qt3m!79?!6e&Dep-~L}f<+c8lu$>PIdpq1wd(-DnB&RmiQ-IBwl5(gv)v|`KgbMsct8e3G4^X1@VF9NRlIpSMCqe71O)k==xgrgTHT?)@3o!HBiRR z==S>3rm^0XjkDa-$`0DntzWo@(|Vp(REO_b9t#)b4q*4(glE;^9^7}<#p(eKDN<_}PU(E&TxtqxYD5<J|`cQ@Q^vB3n4gh4G_ywIssT9ibkD&4FYyj z+OO(i{~b{8t$jyE7zHn^LCsJ}5kfcnxyIW^P(fx=?AJO$Ag@*jW!KnRlROB@9tm#7 zs*Va1VVjy~CH4!HB6)zxxGzNlSaKtkBn8kKMD1((c(f0#sGe!c&@W7VsFZYC3|LSA zo2bP?COLQ_c9ZDR;f-NN)eRFZ>fvhiB+|2z2@zBqkGN>0jGDvPV{!@jnfE>D{Qy(o zft{v(F+u)(t;8U6qrVuxJ_PGTE=S~r*PqBa5UhB;dAO~Eh1uIrLkKn~s$8tUmkV&6 z`{wVnh@4dl;4;+w^QLwPJ7lKR2P|vGz-(S>AdjJyVLTVwFA{o}5YkM>Jh%32%Rc=zNK!+z=4FD%I6zU8=rW_vx(C!#Z?|MXGN3)+nyKIabRY@2QvDM@&j-7MZ_gR? z#VfIuk1@dPK#P)syvUHN1X6=BVnHqspV@@q=&lX`s=Auyte>&Qb zYAu9HsD53Gw5Q#Oo}RJ#{wSt(v=8eoTlVGyq05|3N`=sG#lXa$*1_@0wJEyVmf;K} z5smH{x)E>NGu@2Mv&{9@2>?6)tVJY=%~123UIg8)k>z7jhQf*<1NmF6z0E-DDdB7O zY9%e0Q0z|MXCyjfTYotF#9FERNL2_#Z+_(dLLWs;ps=5;v>Ck@$)ZG%u*er&S51ml zGOr9?qld1kKszKxc)A1KGL?dTiR3@Bn|AVs$qnDk-P3%6mb{TXjRkCN+dI?XP$Lj$ zGrt~~{b`GOkQfTzNEX-Lh!5yA`t1$#<>6o;a9n9ox@{0{12Tc#!n$U8umPG?QO@bE zGG;LwIr*D-*f4xs_0PYJcY_1Y*1F%y<<~O~Dd0myutxP4?Mz=@_z7#JLL#>a- zbgPG#{TaI3-?=ntrn$FhJuEu23>#KsBGZBue`9G?3$WXDEHH6h|&vutey#3uJ)v?tSM729&!NUxdr{C^OTj9il3ya z*pW$ky554p2(BnL$C6;@N`D#rZvpoSS}5d?+8Am~ibxsVMoMutpM_lUy`odpE*o?;7Nv58ZM@*AA0swFJING;t z-(M1_+z}L!ndt)#QKkylh)j4p0hR|Wub!Sn`jWtu6}yVC85!a~2tKbt_q_P zoJG5Riw^-{1$^hh2_!jFR=e=4N+!PZdCQ#L5`=lgrdjFN zi>F{Nn+zIvXmf%x!=32Cn`F$mxtIk0eH0Nfta8FtdTyoPG2m7)+M;1;@{}?ATRds) zHUAd?Qb4W0)M7kX>yJaDSSSW|WKINVgGvJAWS=oTx-dgZG}II2)E29}MT$os2}g(1 z%{mT>P048obbl7+&aXFkbr^b1{Fdu9axlsT*kkR+&wg)8=)bM`WxdSVT*TquRkxnV zTN6=EFQ)%IS9+cioo&m|rTY$gzoT$%N=0$v`oj8SytGS9TFrM%o2$bnp9d`D#4#Gt z5sWATcrtpzQ|GQXbr!H9ACNSXd{`D^$)R3wM3P!N6@U9_8Y+H%sCKZwMOaOO(s#pR z2UB}Ts!&~sSFq_|JC(1B{Z60~?a&MaC7cvNWk{m<7&ZGFqr8(W+wCIA*kOz;;kC;T zx=2v=IWv9NCoovqJ-d9d%BH>?A1SIj86p;q%Q3fKsBj>%iub#yp7&iz&SSuMdfYqX zJ{>yfLVux5p`fRVE(>dtkZTT|=Xf1Wd{tWKI9g@?khhX}*E?d>e2z(mV_8 z$k15Yg_&vw)wSY*zr7}tON$ZRZHLaLEQvrOlZk|>O%6X_hP8KN+zX$D4SB`Gn`+Wb zhz#+&W__zqXp!QO29HzF!$VQ|*kuUiJbql`>syA+;UbIs{7tBZ3{gb6lS|k{tVvky zB7dJFmPoaRz_oQ-K*ETcueyoH>N1-&QgrR)fz`?}$^^G*a+69%Lo zf#3X72~KE2y>*k(rqcy()te{iF}IXwodG#O+5T;I2EGO~Cn=^vbIq&}oS&=seqt1W zyy7@&N)*7IJCEVEVT(w(#DmnF05}vBdVi9ENf9uM?1qq!aR@$2gkS}!;Y6nDiBicQ zh3Pd0=|o*EN>Wm89+w#!ECK9NSkjSdI!tp?~P`;Ha;6E1~ppD;Rl-&AzopS z6P`Ol(#DC3N)LJP4z?zgYe>s!9)HPKjdymUqXsG^(jrk1E7y|WzbYB7-1JZ5E4&mV;jx%Z`s2)4e3$I01`@oGm!Fpdipy#o7rz_e73ZlY*{ij}l;tRBpI#|tCg z(J=xhG2;y(gF1*y91!)Yjpi<@+SeBcV5qlWe6in79PdvSFTEje{evvm0XS-7Mw~+Ov3@3Mxj~b-}Meu<2R_%8&bjW+sCPGVuU} zg`ZC_&b+lKvu7}I70_5ZL4Wy8LwBGJN^Wf2o;|=9%4#+`bmP2b8KE8QHl^oJ`vJ)} zi{~5ItUIe}BErJoie>ko-A9?6^oz@|DRr2KwzYQJwdki;U?l|ZSGRD#9RYFD!|Plc z8aNLTkXSbCf4*>{h&s^5^|g~ftRiW%$id%iI(_PKo?}28FX?Jhfq&=OKZ|{CKoa4> zh}RVrt#)Bt1%t|kpUqQz(dPT=_coNTkWDQkqUsQ9l?4(XuuU?KF0gOaTm^?fB?ohP z`YeH`L{QbQE`>lytfa|tQKI95BWvMR6AFK~kyp0|AV z&9GIv)ZN3UnG<`!#ecp&#|xoFfbF~r`<+yq%IQ_!gg2cevT|bMP_Ro$z1ktRrHYs`2I}l-E8-5-|@^Z7W2^tjgAaD#&+YO%G@I) z5Tf7i`2=O|gm#%TQ5y?(G7jO(5zS=rC2hVeCY6?C86k2(D}O|1wc|iFJrmk>_a{uk zCJZhGPJBVPSniW5>fy{#QdKVU_{@B?O=BBD6cO80*Tz3$b+!5VxFw2pD2b$kYmjV`QDqleFL@P6$M|5z>?cl<>XGd4}b8uvJK6EmQ8DViPwSN)o^2;T%gBXs~`6MH;o5~YzHwIz{-2g-hys7<9Uu#}!C*+Yn={kSx z)3%(nc2k^LYGVh)FW$HdK|a45P<3e<4P_L}IcZ%@M2Rb~k~7~pl2Af>J8k0kz$8Db z>~e%hp!slrr%)bQ=FV2k$zxdA?oCs*Rbo^1&Qi^`W`8armW3+~GZJ^T(FG3}z9(eT ztgl|u{~Ym>Fo~0JmBVyi>=F#gi2hXw+WrRRu@IUyzB4)L8MB)2yVE3y0HdobRtW!U z2=!OXPaQ)0EXeT!h5o7u)ZRvEeg_Nm!yapVbb4^*GKacV44U(KSEpYz_;!hSu*4QAYT!7k$0OX7HrC$1giNwkQM$N#=2of&rQ&E2|B0a1Yt zKsj}%GpD+vP)Z+AQ4yakP28m}f|9&=(ti(SYs(EH#m59M{Q=YSqRSQsJO~OQ1UuVD z-g`&RW9Ner-y8~L89*Jo!AG-32BSYU!#TLps&kK$^m{I2f)QS5b&{ilfly!f+kIRk z;0gPwIq#QYLy!VZmNpP%jH7$+NhN9^AkqFlVWe53Hi`p%M|q9GrRRAbGx&8mxPJmF z^|ovpHn=1%a&Ka3_@uJqJQ6Di8e61Lohah-avh%eScLD7bBz;5exoM&BIK9jnnc`* zxS8fk#7`F_@hNDO=>AQ6hZI9g%`exhnJ4LzkjXIMP(%kKy3C^PAmDxiT`YW`*l zg&u325UybRQ00w=(N^b@u08m-9F?kpR@^fXld zRRBZ@&1b#xyTmZ&cET>^FMmjk7D73#Na|skcQ)?xoKHb7VzMM8b~g=1`Y!kLzj;{I zsI~5)3RZgvlNhF9U25ks1MkAj$3-rV0t)h^35d~CaW?uRGN0xc{hyqsGE;~0zMKtbZAi*|or#3a3#{#ULVrGzu@h(ZVi!Ve z8dPt9-H0G};#O^#Zu3VLZR>-~XDc|I_-bw#1YJ9Y?S}UDAZa+~rtmXxcE9XB$huKCM@KqYN&fC)8Q83`I z`^`Ob6CNp2-?eF^V1Iv=U^>BsYjBx0^FR%aj!Fz}WMw69*CT?YeujV=%wW_O*dP1( zm_ibNRnHPt&4u`&`bFB-=cW3Ze3jtF5>XF}lmKx~qHD91y%AHHpL!=88nk@>(QR1k zz~9!|SD-LI0d6z%CKR}Te(*7HMAgy*zqwE6!SRHv)TRiJ1ApapY2pv6W{Du5szbx^ zvp5`^>^055?874Lw=hl=Vp?W+6@=!HRal-L(1369HK$vQ7oY|#|BP{m+Xk*wAcZH( z4iM(dR2Jv-3`l8m9=EneG*;78gA$xB1A@3FIjdCD`8B>v^bf!*5>>iai(YF);5gsS zd0&=-;VXtLf8Add%(NQ z>>EU$Q7GSlZ39sub{w%xC*0@xo_Vi=gptcia5Ib(tXI3T*A0;iUDUC=$HvEzs30!* zk3-F)XEEJ{@oWRWbKa;{*~wT=30i`K|w$Z1W& z)VlsCwSO+&cJIoyWtp-XvEyM>L8r=3CHFq5wv(N6S-3n6+#GLM8- z@eM1Nzc7J=CAx#ddG@%d1l|*Gq|izU;>%K@)_=Zvv_T7>Mx@#{2uSk{qJk8vk#zT) z=c$-@*LrkmmPcS2D(AXlM>Z4$^l6QXf_5LS9NdfXc+lUK1fv;l;Tt=utpVJfN-S!Bqz_uoA^b)FT&cBcuhl2dB4Dr_;qHH+`5y29+@I>g+ zAAg+f;uD^O`ed(Xl7o$gwIwLYrtkM-c|*+H+_I+oDGas>wrp8J(2=ov9W9@w9yBXt zRPC&+&V9OO$9*mKTf-Izc=jNZ7S`A$<(hbX-dO>*RFRWgDnU=9I+UP&w@LIf)C{dD z`Ar4AV>oDs)V$6EdT)5l@dRZ8Vw`xec7HQwKs~Y3Gf#DYBNXDXk{kKH=k!jvaGTy{ zBA%WFHN8T;0KDP6aq$F7(!ABQ`W`4<(fwK8G{vcMEiin_xA)a|NGU_l1$uuki1_Rl*V=m<2)^vFoTOBjHFh)mm}B10se45~8hJ>9(N^WZpSV)`V^5b*$A25g zJaomY7WU|M{kO94V-@YOqI>Rj_v4i5DBY!A+HVJ0)&gE-A?5H+K4Y}F*cFYh+`0)m ziLj-qqW5vHmBY;X(_<>w!XAjfE(O#PTYJ!O(+0=M^ZGVew`{C_CH^|ubU0-riyRu!F49RA)Uo3@~Wm16{VKJeO0yS zKplU6aB2COT{$VJ*}k(ESm)p$q<2Eg;Q;3Jts~q|UyPwD1#nWJQfqpN0 zFzy1%AN*M16~%_qVfaVnmoEb9R0E%SkisEmJFu&jb40C&wB7>cH!?@#CL|B>;$S2}a2+KfVJnz) zYQfsBsafwT2|L`vBLZzEsi@pb;g~g7P!YSCoV-JoE};vSPk*<)KRMLBY29LJEL(Rs zwNLmdFlv&~HjMQ&&nAEL_`Rv~jE`dCdGD%H^WALdbyoPCYipCGw~pbmo0&iNoAg0* zDR*`FR=f%5Da(~L=6znb4a|WyXBNMTho7 z@ozBq$Uk{EUk4#_darGJAH6E}V8_6T*diDt-ttW#Z( zzWpz&hi_3g7cwOig&D|MxI3_XgWm?1TYn*@+o)R@OuD-`5)H}qIFe|04uXHq2AZw87gGv!W?i%y_ zq`Ea-bbpJWX7XqqIVVC0k_tFAMP(>I5$q89zn3M`2raKNE{4p#2CK z)|vUr{mpT6X>qOz+p#&-Z3_d-Op$F`_;YuloxuRtk@wO9Klua?7y;V$i~>Q&!cOup zBU}N>vn;=JPd;8E_Pb&=^f9PS%0eqL2Y+ME9g+sfwK;wS<~fF`0egy}+c4Ooj4ZDa z%Zcd3DE*OT1%ZK2z4iv|*3$zSRRlY8BufVv6>$d<2di)`BmxpIMrioYaqexJW< zFSG@)c2zUVxu4!Zgsd*gLb6fb{$4L=6`E#qJ!$N!ZRb6|J= zm1m6&V3bo=$jKzGvmTR0BTpGn+J9q^mx^v{oXK&WC2P-)1(pC$IH*l*(a9HrdlKLc@rH$V3Ewl87Hh~ zND~{qTysnKYp)sCMtKG#fjJ&}+?dc_3xllMMA3V0+~ueGNi)Dmye5LqynoKkFGoIq z&g3ji633`CAsDWOcQrBf0ZieGxX9{C85yH;#%3<(*2MME+Lq*AB!rn=4ZJa1!PVDQT(>kS`M?F86i3 zL(&vGik?&%bh&I5@?+_K4}UuCG(0?ER#t45221q}9g++70`WTsV-&PVBsmVM3Z_S`<@tA9F=BID|pk^`4S zp0`?fTU+^?L(Y9oh3EP0dG)!4mW#m@X~~9IAfL$|of+Rm%P>ZIZJQ)3@Ssl) zXU}nwK9@E|?@wa=H0l{V1H!D6(AH?m zkA$QdcSc1r&H*LhE%t+nEPZujFYLtA+%+_fFyYE@C{C-?wjZVK3g=2NQpi;%z4-fvv#b-_9Xwv=64dA5yhAiJZ3uKhC@GPi zd=IA|(2XIAM6zdmB4_@UX%*N#Mco{FAF~&S=xJeJZ+-bM}mg$?fa&@ zzam~XLYavBvNzgGO8Mgz^R@=by&Rsu^H4(T^Kr5i7=LqPL&zqO|InCQym?_vX&?%IKt^u4!zJ8LmPYP$q_8kjazHcT*x92jBfSUe&?)*P zQCHmvesZ9SxGPWRyaB(0QTQ%=S)ZVBbh^TBDDgQP|H=U*Y|3!bMK1y_|a zHcCY;2!9Mm{=Lf7wHE2DlXSHns^ERB&)}txP{xxf6-ja4IblB2%=rZONhFrKP$s+Z zYpu!q&*T|U7x^i}!y3d5c8SH%6v=4}wK*o0RMt-?zoQ|w8H7$`hwH$}eeEeyizKR! z=(v?B{U42w1YilV}=6eW(nX+`W62W0u3@CJj9vQ41M!{uLsK6_D{{3xN( z1%D`%fv!DZ;+9rgUVJkrkix1;6HMQ});eT86&BZ4}aPeQZR|buAKV=Os;KF7SFx?MB)k`!7Fu04tDNplNx?{^WvVcZnRfEP?Pj z3{+Mpow|=Ck3yZ8JzTT~y3NDV0}5g&%@M5<|p@3$^H6K{(w+h7_HWcZet*)H)eg`qAq)?c$elq9ZR= zG7O3K@hotzIOCH7273B6ozkDa0mNl3+q@O!sMMp6LdoA{iOWj;k@#zlAL7st9Yd}t zfO#cmesl3P{3U8j(iqS#;D7uVwSFutBPGj1Es%o>g-%`^G-?#Eze*hE3RE`e(T zf0_uh7-RVtV9G`cvIJO@==vRR@rx;1=9=OWGvsm30W{thkfhjk6@NbY>+4wz$qe8` zu`G;hpt$IJU2C{zx+CzC>dhG1YdSlQX*4??Qv574Q!Bn=bQ8R`*B66&-Xr*(R0g4+ z@;y}Ny0yUS;v~U*XsIQ%F#1s57`<1$VbtDUTy9^cyxCSA@^LZ$=g!X3#p|n(*wDU) zFILDBqmmd8U^uZ!DSsvx#{}IDUusi{eKla+fMSBDNlmEmLRW3Z@Y|GnJc=)olq_^ir3QRyP#LtdpS&t*qf-MI815c? zD=GRCHw2D|9HUy$0v%bRII1`Sm8})C4q+{3X;>m8o@LT$C%2wBb}P z?}g{H$ai@GoqwKKkH_cw8j-60xN@32sHS%pxjnkTNTTk*p<0NHi7>n$-f)WrPHr@E zm|EMcQW`^OnTI^;Qj=8TZFtq0SSh49W%TInjYi@AY6L|;U#M#AZUH9nn7vRqx2Z%bbsFXb?1iMJ(1c@czSC5+%AU$ga?N!W zxb5`L+JEL~MIP07)}hkvu%iim=DG}0I+Lla+z+ymTK?YI4_1p>A_zvJO}yi^o?Gtu zqM1A>qkKxz#u${s)ecc2DQ%Jl3O=qMC7)R!GtvhQ!)BUG9!rfKvjR*HAphpVt)+O4 zOE(a()GRVW&gMe?Lx*Q;9~q|Y7|g2UBBo9M*nbE)n1z+XvKUZ26_+o)66#fvemQ;y zv4*bqcB1-L5hAP|Zy#!tA5?mVW-~6b+OwPCX>#2yrw0a}RUqHq=8Voq&-YwZH4t3h z_5O%%WnFVt!Uj%B$9*$DdC4n4xXkOZ_a+rwryiusJ-s5`K9kSyH!(rzmWf$*+*vPKjZwFb%G1IJG!HoC|`AwON*vke0G9 zT9YJe=X$UVIjwrE#Lj78E=E1jB{x)k@LUC0RjXY?>;{T7_L04NeN)3YTlJ1I#OrS0 z$<9o5OqIgxN8FR0ZcKs4Gm#!QL;d#HG=KBOxWYDQwcX#&_-f&^d80r@+D6i&On_X~ zbCOeFh8t62iB0+al#vk~GwGq3(@J--c9RDu-#f3N!GW*W7b0%_+!UKNslz9@DWn5n9o^r-9%nE6# zDB7-#1$9jEjB%mZtj|5QGz+J4zYm#ofq0saExB%b!QAO>b@XNs)@%2U*&lkDQtaO+CheRVv z?>`bIRSGb?^kNI#s_Srn_fXS%a%nVzt-HnV?THzn`Y?CuclSLTjHXbl5uUVnYuEYs zV$>nFKTY_)Awvg86yNA`VGryPf-PH&moOHC>EH-Ok*S-|2d@x+JL+erVCTyyFnL*T-=4_(c9}@#Rj9e{p!PW(OOW*ZH71(NW%fy<^&+%$UovXxJ-4 z0M6zcqW&oouOnBv2m__zcYlQBf^i8q2SH$YU(ya1tKY8kOFS>EaGQ|Ntz|cw<$ULwG7LSsIVnJ9k9B3vgMWb%cTUa zV$M;(O{!!h`+$gG3V(W@=>DjeH%y^2h>)O+=DQGcMVfz612V2D!VXyDdtVuCKO9l= zHyWO=cMXtM?;O4}Wu;5btZ)LuG1^-00Y1h{L!m$|tPH`=x+Jz2z4;h-RDD)GwuP`> znnp_|XN~^e11_1W1Ktnd;X@rk-{k2v`Pd0}jtYP25d~hqc7IR(nzEAdBN()L9BfTz z{_~r`Nkn)Qv_i&q{HzCHZE0&|;M@0m581!5}X;7vN+|XR5L6hs^_}QLNO2)-&zXrvA z#z-?JY3iyrsG_7Xa>DMD*tkmL|18!T3h0Q~y`cfYdVgRwEN9d`p!AsaKJ!h`;$h9& zCqY#mr0$8&Y=J>UQNLV?8)%{@X5_9(FFc z)eTyd8_-TVu)6$ofmvw|546=`=0)jPP0zY}Du1%uBGq+z$S2%>NUR%Ba+)DcjfhXg<%u~^JQNQLoSLvz^TMEDqUDo9f7J7xKt04QEL36 zEq~0ph<)^)|NNS0hv9B57SBaKNW~UjCR!E5StgmKD`bNW8Zecw=X8{yR-prP?}?g4 zd(c@*DU~439YQTSd^VJjon;M)V_^guCErNrbsV4RIPBgXN=As@tGB3)aNuq~#r0*U zuA;c@z7rQ{3GGUeZBF!V%T|2RSTY+&uzyXw0oQ+rERuIABmJAh%U{lm zoZET?9*R_nijWs=foRK4y`vHR?HBq4yub@v>H`^*yOSY?CGN5llb3GQZmSxX9i7Rk z%6;Dj#&^S5m)6S!)>U?)M|0Vg(|-zT4A^5ONli$$-g>X*%X>sGUjx@8i>3IK8%(S1 z5I(%Sn)(RDwuKZ*s~EQ)19;@~rnc!ky%~aq#kF0GK=fvA?qO2m{#v7$XtmqB_!GpP z$s+$#Px#ABALX3d0R}@Wp5+XAO|;+fCBW&udga_`e38Sg&!2Q%BUlfAXMaqc1&pCP zt3k&;q|#h?zaMc8-sSBCHAF+m8P5Fm7XrSIb?)gP%H)?4QQ6nf z%dJle(V;Q}sm{gb*v?8n@n8}1j?bGerm4n%l@!YA3t%kWgRFfiUFI0{D9f3}qld+f z^qj1bx`?;8&+IL=qfk4Rn}2=)l&k5%Y9Nl&Z%u-JmOjjew5B|R+oe@}qvBCve}i8R zqcM7fI7nKluw9S6Qla2~GMw9?@lJ|RRlrlEi_H4I@)M`P&<2%7n3p9?Lq(KUzq!#p zJ0Wv#G+ug^aDN%@%uW*u`m{3$FTG!59`XG06l0jdr}*Rm9Q4ZUXn##dpOCx`y&^6N|N*|AmD4e=QJ(`3PXPBK^b z&vRp)Lbn)rOI`x6UgXcM$%OS{5XxXL{H!Io{*pGS#wqw?y2jd|zxelUM8`^~mJ4_O zp8yO5^ZRkS#f^|&M1TAPaGI;Ily%h>5I_n#h`v-bI zhqhRd3q~|vcprew^W3mK*ZXgoJQ^iH45Nk??TJjkSDGqZIy^4Bx!-SI7e_n$u5gOV z{x13k-gvPJPjjR_jtarD3B&rbcw*uSKy$MxWM@?zr7zsJG=DLSA70s{!ttEJ|61tQ z7~}LHQWZODhvQ6EaubU*U}e@2>XD<*Pxw_=~kLr*7%m9xj+_;}{|1ya^|NC8Z+pWJdn?0+7NyocNN$kM!^nFlY(>eEj{X5QlA zb$cDi;zwx=bQ2U7+{9wWV>{AzL2 z&H8nJAc!cf42}K8S`Qp_j>W&{J)e(HUGdrORGz&xoWw>P0}B(nI^E25N4rG{u3Bb( z52*0PI;nbu0Ng;CIPlH7CEGlG<=tlJu08{Jwelnae}5nvm1FN_T~V@>v(VFJ1Z>)gy5^|d_D5m#zkm$QRaR8GSTgz*EytL!yRRwH&FHo$31@Yd4B z{hOcX!IFL!1sh(*S))tx>~6-WgLDrauDBVEI8M^tkw%Fn>tP$a|cC8!b4B=%BOLT3B?Z^^uRl zJcrrkLgWdfbr;F~3Yr9ME;eR4U}P@FY043PvZoa*QC!PUoa~jck7P3BG&lGMLCP2u ztLz2xVbLuv2-*CSEdd?F`lX&1jqds*PUci@RQ0s z2!Dh8w2#MrmpwoM-WT9M-iWWQ9N4jB4EO;$A%Na2G0q|0^dHkbGgzj#YQsIuVe^AH z(&%}$P>tVtewpBEgXI(C!7;TdEC^0?NPyOx76m}{k_8#4Gz)V6_loh{&gh1y5t!R$ zqLnbzdR~1dMZv$D1lx%%H3LGAaumWj&wrapsVidAIP+~KbT;HBa5o=y)oS)j><=+2b;DpNT$*ST)YmJ^|!@r zPa1i3F|*L!klRd)|MDl7J5dQ%6Rmhj_S`Lx_KVBCATUn$G#+lTJMSDGYeb-TKoKYH z^4b8K_I@#|!W+AbGRLBqA*%`#muV6U7PpA@3gR1=SV0RF5jZh03NK7$ZfA68G9WQ9 zI5?Mq$O{z(F)}bRIF~U|1Sfxuv;|O{*%mE~yKC^qoyOhW-MxVZ8fgeLE=h3LAPMg7 zE(rt(?h+(Hf)gNw-~@SOX70?~`~Ow%6;;i*_Fmi0S^F^3YU^>z*tyw&72TjPP9839 zQGlF=oSqyHH-MX)kBgg|7lV;e9|Cg$|LwqFGz5EiLfoLD|DwowfI)w-C!0J7_Qce1 zg922&TmU?L03Jb69wAX~ZU8Sgx5$5pZXTild5|~64xqsWP<4ZXJuw*N+}!;fKptSglfeaI3x;|=#dtyOz#f37@&G**b%2&T82Tq!{Z9f1;IGpG@Nn_`o$jyb z--#g5KY~HFwr;NOAgCV%>Hx5ZxPSp#it1c2Ul<1f1hxB31i62Bx;@2%yg?8bkj)d} zkKRE5MHw9c=xM~i2K2P`fVjgvxjZ2*zlQ|=PV;om3Q#*aH&<6M6y}NXyFYn|2iW%M z;QfIAxnF0fn-4VLZ)gvJ+S&ge#LmkdXaI#g_X4ZP|3!K-VfZq+`Itr za{$=a))Dx-guZ{DJNOSL&u{b76hQ&*Ztej4r$N9$5PR^`Ka2oRkT)0r^Y8)(1^nCb z-w1<;2Ve)Wg#m294iG5DKiQwmVEaGulLR~& zH^A>)zx#bUsQ>ir{g(__{#p`Nz<(#xbbC@S7{Kz6*v+{GxNV<)c>bRy|3}FGpVEJ4 z`M-<(e_K-Ya&h^C!15R4|3d(|LR|d*qCCmh3-+`M8g5Su0sUX95%|vq)&ScxJtLk^!u-<(@_gDj*dMp}8-t&A>c3l1fZDp*{a!v^0YL!B!vo}p@pSV~NZ?5b zPg`mS_WeWJ03a9C4fYfQcp5hdVDILE@%xqq1pt3Qnct>AkPtTjsQ3@!0{~V2M#8)R zpzc429{|+<8;J-3fS`YnFaT)t4-x?YZU08UX9n8+3-SPf;D5oVBKChnfu{!SA>RM^ z1%A8TygdFD@I-O=7knBA@-O(*iOWCmN!~!{zu;4Cx4$9(Q=d;y_&-<>0Cay6t=qr4 zecFF4;J=FVJXQ1jr@7w<><#{>g1{5q^J%&N33$p0`^WuMALi%*{?~j@4Z?if{uS_a zuwH+_|GITsFAt9=S^Tl9Pm=f#{^R`xgMGoa7|WmBY{kNy8pFD;>t!f>ICmz+kxw$O zjd?jIi!IS$9~EY;zNYBqWUr`IDlQN3C|Z9y^=QgIzs_A-JPX)vqG|TyzvQG*+;^a{ zN&5772|u42a79V?3AY`tz$jgoTC~jLBb+u>EM70Vl%2yzJx1I>=EnY|R39dyaz!E4 z@NUibz4hhU>LipRhDV#aunwDH{T+exXUut*EXqUw*)J;!iG z)0caDes4M22`}=Nt7Gkagv)n)M3sM3Hn0jv!~8{!`B~scN!pf?Vxg@vCxv91h+@jz zjxvpIuMP@vY9U-83f8NB;cptCVXE~#e#!x9&XV=gv$KO>)(<3T{vhxB*V9eK<>a58 z6yJYsQ}nqcu@HS!SFpl+J+dn{RIocyk<^l7E6zfkXXyV$pgT-z^!AN-fS!N8-O0o? z{bIZ+2(5a$!nyG>F1PP%FWz04Em7T(X(-`|YW2K$oM&wFNdMVSaXM4GumG(E;N|HU zYK&`$cdS^MolIt?Bff%F;=L=utHf%5Hn=(_M*E_-q2%#g@*W68&T)7LE>|w~&57`$ zsl#xJ#%S6T>Rl^FJpu=eJa2zh0}&@b3sO9K>ukIi?9%Q@v#VsoHYaUSqRGt@Qw*uS_;g^Y~7m6@RK6lz_q7uHjh*c6k z4SvW{I&JUj>*SYo+U0-gXszMj)C1a@z~ZvL@Z@FN6<*nJaHBh2@b{L@pRA@G#D z$@z_NMlvoL7a3_b@}m0aeAa#NlhaZNv(fOjinTSfd*cf$tU1A=k3bX4?jh<%kEjyH z9mSKLiY?Au9995S-tSCC`s2~*H(R*FjIG#r`klAcQeGuz^z47L7e{;MeNI_58cLs9 zRjJcBO(Hfj?$GVnFYC@_6Vt_lfkKeW$0z0vjI8->Hg31qpUvD^JbV@Ud*`1J{tcD+Runsk3W1IEaYWQ;|>tdnEKwzw4s z0IoUrDL1Qc`IbkME9S6cl`JkRtUTgdt+tM-la8CsF1)cZ6PYg_YsMgco7e_{RDc9o zTG`2S0$C^?Y2vI9MM;pFd70QUqVlsXNie zj71b&P4|DHM|5Qt8J}awrEYp7gudc0rpSbvq#|$n!JjCTD+f%oT#HF*tdSSFa6Vh& zb*PyM%X(CY+O@|rJcC@;yf363{#Hsd`a?<3Bgn>ZvYqMHV6*U}2c1Rjr+5P7VvXg| zOY2AqtNt``G=$j_i`~`pR>yg76>58`AajG(3`v|^YEK89j z8K{R2E|k5F-}|JnSIcELkMBU`UU(Opk>e=~-quY@SV<8yaXGcBj%6xOv3EYk-Ej`L zu8pn>&wAT5F*QBXC1o8rmpTu8CAv`==;ruPy@-<843+am47L~dZr(wS_>s7^SfDEC zhBbdRY~`wF0-f>{Y#z`V6%%nLyM#aJ-k74jEKcRi3z-{Rv9LPE^bsi!y6)c9PVX&2O+HczP}GI^{7<4#ScQj5LDx|oVnZyDRr|JPdg7Ulj*RHQmT8o|=LVCuE&7rPn7ELrMN z3oN3=&UDJ8+C@H<0!H4(SY%DKDvN^Tf{Ub8KER)|E+h_4qySJ7dv=(CC{7;|zg5Gf zg4|K$V{fvU;j_S@;v2ilPAA!g^iO|Xc4}rl686}|CCnyXWot$=mmJoD>Zlm_McSgw zmGw?Y@EW~@7WZ{h4ut+2b57}4WqGq*HzkNqooL`~9ls&~14Mrm>vlg? za0n%v>Sy9T7)LksPwyWN&k1QqVj1lB$zt!CDtMnKgnRuO_8A_wXeQTNSR}o1dK#I$Fg08@Y`P&#p z?n1D|HXIqy|8&>eplEfd>%y7|`^cLM7%Rd%|di?pj2woe(9RAsx$3H*$h zzpxB#zHa0)toqz^r>VAT@BTG7vw1_O;K9w51f1JG7_5Exm@9 z?;67Bgb<^mn&VQtzFtjBQ?K4MC?Q!|H%aNZ|iK*41d*`p1v)9Xy^SQ*nZZo0z5E2qUyCiZS`ueU1sKxSphKJAT_G>J`Ekp6$L4I0rW=Cb>#yGYGQ z$s-P(^Zoh@3?Hk}neib$m#-CitQJI)GlT`yl~pZLU9-*{SisT!C^7t)vVST$DP`YQ42xTSxtVu;el)alt@sM^<=cz1_vy(s~)MA3y8TbuWtv_&+jaK!M1E$S_u zEgB>i_w@(r?@XfgyeJ%X-q-tJa_D69iZC=+NfNGS1Y|kjjyp$6hGK+$Q*>ob)NSnK zBP`hgEx#n8%V`inK z7m0ZQizW7mxH7Tjs!6H?(+A4g_um)6l?KUM&mpDI71WwI?9c&)zC?F&Mw(Po{;9^s zMV-zR_B}7UIg$pBk-YrZS7Zd)pj}{myXA1au-xmg>w#;A_!1WGV2J-4Tf+^r4VH^_ zQ|}kj=F*uZ(IR7@LF>zl$3@TLa|W9r4%53ER_PJez7S~&$$VV0^6U>uO-*7Z5o<>V z*Bi=HxLx{vMjIUqtInGzR--}pR2p8 z1W754Dt%G3Y){8zqSzMctF47c=6X1)0l4)gTs z&>}PC2~aqJ3WXn;(haNx$HOuqjl8`>%@Gz<_1zaUA)@0yJ7pJm=-(UIT8&(qbndMU zk;|>6x?st_1zN8%k_{6#GaG00TY3fo3@YfEWVe_Lp~<8uI*#QqHqjg?yS4f8bsK^^ zMT@G+XeNSVBI7?=AI}Kj`WYa}nwMstniv!PC+b^)thJj@3bOUT+AA-1V}p=fv5DA4 zDCTERJux`?rn0Pl@~M{=+LvtCa&GHOpg@o?6({rmS4XP$moBc=KC=jKv`-p&ODYw2 zDj#Q76tGRGfU&goa$MTuI+_-l3d^h0U=&UtIe z1cz@q&^0)C3qyBI^v~$E-LBkFF9$beMT4I7*zXIDaLX+O$bg09$=m7}#_RfsxZ2j_ zXd6@dLv_v7Usbz5*Oh`Vx4v9N=95;P|+-cdVkVeQp!DB|hz zI2Y*0;4U;NlB4;je}7f(DeyN0PFZl&*+cH7n=^I)AZLpJ_@nVr8askDKOjaFKPn?W z9hleKMk20kF%ixDUp@ZjT3uCMl9#cUy)Y=9dc=$3fj=!}&(sliA1q_#>Ot{t8M%UP zy{Gl^m{uIVt1;6IfyrQg=V0&m0`zWygYs44I@~*&y#JE;JAepw0+T1mQ1kj^l0WaK z_RlWROUHluZGVfKVu?{}$gS;2!Dfoa^MMqT7hyTJB+3{!Y^nFi=8bofZd>xo@YH`NquX2B z`}r)(r+_E*7)`e8RO5Rs)stW|WYV$K8(98tpNDnPc)iM%#acB7TOuK=ecEP$AmA0r zrrJyh+wjj87NNrJ-RRLHKuA2`dY-3B>&Z9HDRWa&l|i`*V;8+8AT6%^4w6W6n*%$# z#C=h{u%G!{tvzBC&Js*NR?T=b1ya!BmOXGIfFCp4?ErPPC!7!wn(<+R^^XgQU^ztMM{v>jCmR+Q|9` z&Wp>SZuIt}vMh}szaI;#m_nxj%Y$)XMF$??S2?(XgFZw`Caj&BE5lZp-8huIvto{u znd)|Wnx(WQS)scYxQ&A~_~sDd!yXLt8K^H4zG;e9r@UO4MN|Flo0mi4(Lje(OTeqq z-a|I?$RC}Lu?wzC&Yud_;@i{5+(u|_idO}88m|}@As4vIL@?Y0zSzZ}tKNHo$Zy!RGP$JoUcE>wW(EvL{~>gDN#+_C!d1r2tFa7 z2k-OSYR2%mblH4V3;4(_gtF`j1U;E}?nkAbE}phS<$8XGF3VI7?Et-}^?h}%Qo z4FE6WCzDIo$V%GvR*$w9IaX_w3qJH1y$y@ovsaq zgBvDZ4|PEhB)Rz4yS7V4Y*dq7IBhl=UP+TamogsbW0bOR8_eL&hgrCvfZ?dv+Qd-` zg(SOZ*U7L00|bNh-1EdZ`N_A2f_|}$iBWh<>^A1++5IG1KnD647udC8337Sv0+4D5LIyiTAmK#s8qKDns6u z;EXq&EyP3%p&4kn|NMy-3PpXfAxinu;Y&`m6 zrJU057SiCaj*Q&=JaDPFf5PZv-L0Fu5Ei79&zTf=Gg;E&DX4jCTvy%^sb4D>Y>V%bSo6()sgczkutWFRjsHEg{&(?ZfF? zk>W9<^KBH&0x)rt)Th_%39`fVm|3C@80o$s~D82dMNRK4|0ZG0#>z829jTV0Ug%=5Fm_LA`Y z3c*kJ?Dbz~yamU^FkpQCtJU zT*q?X1MW1CiWRB{wCy=%zy({5u=5XGhR(Ru zHp}F}0OOpry%yPNHC^YaJXBh7=#T5T60}?&&F~#g9}agCt5H44ykCkXq}V+_Z`q`> z>i#rlbd<;nJxsDOjbG+mfpG@t8#nOhM&{yrOw3XcU7y2*AI~KfPnIg`kn@I#P&@!h z5n={oSM@!@78KGd@os5T4p&?1)=w5C1?Nl>9}mpw;22dM!l8vGeSFJeMBPZ@&0yWi z;P}f7;jPb1Hl@_Gq?dXqCj=4c@-|kpQ8={-ZN61AOo?Gt@paP$x)pj8`E#K?ST^fP zhm%2z++5@OfXze9=ThQBrxAB3T4kVZ%2A)Ec<$1MBp=(aG<>{LX-zu}33zWAcb3aZzLX(Coa+=n*ME8XeR^9>`N!!Ch z<7yc#I5ISN>RWW5`}>X)BxIJ(cmPGm8jp=Tk!As&09}gmVNmEBR;kM6=BA{+gktFg zXcK4pATw|}C!($O?F93;bfxrleNF*{>N zdf8h8`iNjNh4mrtNeNN%M>BAb$x6^hD{bWlYa_;p=>FcSAGd5DNn+wp)s1>f9QRVO zZR2PpD)*Jp9lgqv{ku+Whmw_$!vk(lzq0C8|H`i}euRRQQI~!7|L8W?i@;n=?@6PR zdi+UxK|vKN{&DSk|KVl4ExlzzDl(>qJUdV$P(>EX_O|NA>r{w16f6QYd!a9XIktu7 zEeeWr7VbA$sA?#Jt=($TaEOS07Y{gHo(^Lo9Za_C5Y&nEz@YN-XRHdiXFaE664!=r zWs{K_QX9xh>N&7Q_?!W6FeX zSrwtnChWJ567P@Z$#3(b;8_5cNO_TC->nY@A2h>xx4tn?%}xl^OV3lii`Z&gZU0EH z7H;=q%2k?9aBS7a3#1B-%4$FqCnY?6gxXa5` zSH)coYWl;$%kK=myXW4*Lo?BiA z{a{E2Tnoa5wlUPn3Jr1FIvH$US1Te72t06CV&*qep^lp!40_WV#6%|5#=L;&Zag4is7 z==NqJD?#PV>S$qF>9+3y#M?++#r7e{jCM!wY9}-J(b$$K+x4Z9pk1@}Vx5$-NL&VM z&@2Bh)OS5|WwKBmjShI5(*`tfnALAI4+&WR$D^^Pv~y*5OOl28w+d=km|Q^8b(eY) z(gFPYi@OP2)UIqjW&#Cd6r>URNGu_#Bj^o0rZRX&8kRY&;^BvJ+5^x=#@t%RI<5cs zdt(!oemLXKoLNL=z=JxwitN5}T+phC`hEQBXetJoKWe|w{1kLf-pKsYpPNb2EO7_!yl_l(z^#6&=muJ>kuF{W(O_X**4l+4Wj@P>kYI| zMu}eK-i#$|A)`RBuhy)q!zQ6RH0Oxh&cTDVA4syAKgV7JFAooQEF|xYUj;H7;Z6@l zOclK&{=mE8b+x>SVv@-Dw2*m(v|apJp?~Aa5SLx=etQ>IvleogZ6!<=*Wfw+7m&Ha z=vohKY5Qq#4kEJUe3NJY*>uXJdt(!zKzbcPrmGZM$lU~ak1cj4cama4;V+?a6_S9~ z?(zi{Wa;GB_#Y+oo>>Pt+mWqU#Uv5R3zD{cZm%cVQ>`v+joKvi)_YI9jd%kUqb8<< z$v!K730#JSX9cp=h6ZOTZ)3Q@0dw6T93)Tm_no`B9+G1>`=FBf#0WT3|AugxeMRQZzBPpmZR6n&TBgN4IM3-#5n-TB8a1-jRhMh8<+sug@J|yK7V~}*c+iWiK0hJ9WAPa^JG8~k3jij zMh^!M3w@)C#EW^{P6scxvJH2X^bKaV{=>pF0k0a}fZ?GxUq0CMbK2{_kFwJ$t=?aN zzgcCQx&`lbOaEM8wWzm1s=bwc*|i4Kv14fQ^%n|zpoo-D%y$ayZ>cWeUFhd4Sh7c( zZX5>5M_`ua@`R{@Zw|em76ES4k6fQ(KAt>30W%aTxuuhm5V0?b%*Eeh3O(l;B1?nJ zMgg%D$p|+er98okt`cW#6RT)0n&;@VqqEpvnpx9P9B&;&s$&f8a|MB#+xFKHeT$BM zN$<)cqH;8$|AyS_RaU5h|0aIO%F5~LwH*0ibFe))%HMI|a`T7mxb(E#gzmU;GfE5H z!9fP|&`cpO)b)}YNFF-ewnlx8;xAM4$=F-f@^jeP&QYc^P4_skPpb8)kH)v{-G^2o zaP)>H|L7f`_Dc`&7UmVVY}z0U6Dt=QLkt^ww6bIqpYuqH_jLXTOt~vjuCYjGgS}7a z-l3Mjo1|z)Il+tDL&{2(z;RvmNzN@;e{Kkdrf8_>*yosK%O*%fxAOfY9SOERm?omL z$8O*IL#QgU`^~v(7f*45Kx{B+H&X|k7iBG94`3*UnEgB@2uAeU#|!PkksI{Jx^>dW z&)J9}i*izR7MOMfl7{OK%Ul6|fVQ``f8zsPS|ZijEOoe~yob0RZ*VhD4IduI@~O7# zQr}d=EI4M@BQetGzeKC7z6?Sz~MJrhbzF zv2FyrrMfIj+o0d4Jl6!Rf0X0bd`@)B`k@I%BHdA1Va64cV6T_v8Id=}jZ}k>?N6!$ z#eE8yggjZanv=TYmA1hN9ekZ>5##=`@NpkEZ!Es@E0GpAbeBTfJ-ckL^gF&q3()@5@x{?jq8Fm9SXq|AGAHCA zTrTuS`<+`k{&8Cxre7!vKcLUTbL$b;b;Ma5*+bm06Ba^uRc7braTfj6r4%r5r}`yM zXU}#3G~>3s$37%s`#4IJpsyiS(U;k~H@#n+SOrNPym-C6Q!6<6a2M|cQqe(h&7L?P z8njevGr)?FR@zOYxYXXT*Hu8G!6#x}yG&b_Op!lQLos(GyUb|s_!L@0wiqZ~2;#s{ zyCin2A__AGSdDsjEvn4rBM{B7F~;zXw&8<-DbpMM1lD4xt;`i^vO*%dI=Vdk)i%NQ zK*Qn+BF)HlVX*kF_8&qfR^ZvkI%i3;{9^a*HiJH?XWX&E$)*!e9;YD(7wZU*^o_7E z2J*H1jl}a2X)!E{%W@Z3$8q+z^CPq6aj3$cc~0|9f}o>fQU0+66NVxF1(u82DeQU+h#Ej9o!%k;+7yDz3%b0RmG1 z{f2Xk>#-WlxJ-S2+-(1~FC70x@2}Z2dMGg#t5t3+(sUp#C`Z-+4{Bh(Rg@`5JRxa;&xI1T)%9d%u8syBiU;}bV>(DbO zY~mv0oy9>Bv_e0^ZB{>%P?_)Jmqpu?5s78MpD*dhti?y=Ad4x-AeI8ZxR$(Aw;{0#~-H~ zvfP|q-}HXOGE?2*sK@6s5S`vTAa>TEiG_!m_sXtCJ}=i(MqZbqMO^8(Oa`{2 zaNYog`XGEiW|Doj8s8hxcE2hrJ!;XSD$g2EbFFl6S`1j;tCEz&HneByV;o;<> zkhyIOz|>X3I$>mP)KtNVkhhF&-EWYTkD_^% zsAjYOtyuze%7|1PiA1G8wh$nUAiQMP{(L@<(s!XGe^H2tW1Kco%6u90y?{00Guq4fuDgxI+OLwDV zDJm$y;~Bfa}+5al0Sh&a>D*z*qdaj*prY-6uu3GQCQ9VYb9dpei&4ap># zVR=w%<=xkklT`{e^(vbpXD(FdHzy1TC8GU$m8r(OSH5{pIxquAU~sq znqB|zlaH%$3;z^F)?gaP`mlFHGwNJ8Gox57k0-^2+Jx%}q_yJfz_jIyRb)Cd@|1vR z=ZgqT$zD2G?}b(&W;By32GFNK6XC8yth)Ex(7CWh)Ge5;H8wL%zTJ<#nL~+?lG4&q zDC)RR&~t-Uq($6R=ZX^pt6Orn9;sq)Ur(40Wxf@6liAexUxh6vYgz4bD|~DSPj=0Y zAd|`nOwCrNWb7>6?X!cLeu0!Gmpaqcs2_o&?~T~S1dPh>H+~%tk|b0TDSi)RQj|kd z5i6Za`kIWk0ni!&B64|sRa6kU>t4};f z^zl-*<{>mQ5;Xl|$f;XhSs*!!mY0SgS9bH%-fp$~yk`ieB3rE2A{amTyxx4gAAmt= zGz@7tq{&LArH0~eVH!;Tn9#}*PoE6TlC64p5fJOB^PQ&VewVX8E!Q7OqI_)z%m0rB zUipgieFTnb_K@v$9*eAJ${3iGPUI@Klz1-kEzJh|z{- zg6J;}(*Ne*w-uEjwv&Ql4!#NdE@OxU1fX3kB+RzL14JQKkPIghcH1)+k_r*XUL6Ue z&43dL@DpUw^bP-0M>;SBftJ2I_%1Zv==zMd2QXi~s(UHYg2fjFE0HB1oX$}NSf{b<9%Gx|Yb z+9;=zJE9E53jw2oCdEtXNBzO zgpL-j-tdU#h&qe+SzXF}C2N6dChVE4j+19~Wr|yEW3TGKXcT4TNfvNou2NwSny$vQ z(mJAbZDAtSlU6hL5uQYYU41m4R*8>e{Mt(m7qdd>54bg(k{%zgk+rqm+Txwcsr7(* ztIJ|7T~&4^go8y;-AP`H`}es+ zY{fk%Ro_fy(3XUaSc`=d!(321yl_WJq1mM%^T!B%=elLC;-&)yOUJB-`zkiY4F{CF zJdmHLYv&5Ak(N}&`eaz)ya%;!0tpeLS)0R?4e`#A>-tIe$q-`-QiCnVwCy84nuAJ| z?D1+FPEN*p*vUG_eCK1*F)l^;HQ~(&Vim%`i3?Q6_X*g^Bn+d?MY)jUP0;N04>AjM z&DZ!NNg9%7vC4s#(zhvAXvl%ua(&H~y|m~|H7{7@!ffvU^owwLq1QlO6|p0$)?p2C zcI-pNVRrOqv}kyVmfCU~yZHGvZI;Jx*T2q&>W&>W`qKSuf1UL-ElBuwrfcOg?oZ~t zTJQ;Vr4zQeb!J$5{S8Q0yvp;h2yiGLXu2T(SVvLFo8t#|%HurF0&gcU8GiY3@^R-8 zw2(V24y@B-U0$S^qY4oP=M; zcI{nxg^p#Uj3PB)AA%oePgUM-Z$2uw>ad!k9~D>H#ZAZNgTN{B@mY$%I?d%t@a1}$ zKb-=6zUm&OQJR6Gpx@szR(RqYD_wCCSFF)7FY&t#K;`7bhpG#`#*5P1 z9L;{jwv=nW)Ws6&*h1bybV;5o|?~GQl3IRITea%%S(+ytvz2c zmSz)Z=BFoE`-82tv6%m~_Vf(hZmsOQkrNbaz%n=?<}-kR1W1++=yJ1&RImk7MI)HE zQej|iyWvcL8nImeiF0jVc!8@+PL@WyQQUr-ow{w{^?z0r09nBYnA0#YUw>TVZ9l#L zxR{wKAn^6?9<<&XkvrkN=mg`rwz0Y)(r@wNWUOcg+E{K&7PmBiy|zPCe)*owsFEV4 z$kNc`vXUmYr481b+P{B+o3Xj(jK;{q83*bk>kHX)k= zgHgTcqwqUAg4elX{zFdm!bWq}9nTtm=7R7@rsG9Fe|*=5p4DX8_+E7>iND@Ly#sL2 zS^Vetq0$wn7DtVF)x6~@?GpP}Vpr$SGKKn8<=^_LSL8O8nV7iyR@&>vFAA=VX7J_c z^T@NA9@5tZ;&|2muyw_)6!(8cK+aA(U<{0>Er5PjWxu)WkyG@20n-&_AURS|Ky zK*>!ZpkT%CL|Hjte9)C}26^bHYxn~{PxoIg7T(U5b8ip#%eK8LjNpG8XcfFW9BWBQ zy?@P~grg$RT!d9SVDPtDveScyIG=In~96U7; z-+2eVTeOsP%;;vCFy#GK&DoAL#;pf8Qx#t|W}2?zZJDeK$RFmWRoJhf;E4P67r9`! z#`26H4;oHGgoRa*SC{0E4Ln`Ucn_UN>Ew+b&hwb8>e<*Ejs#U1$AUFYmv-ilt~66@ z8yQ@bDz_$j#uB7Ng-IWtMkp?zlj`GqSU~-n!^Ew<>V#q186^l;6g)lRJTi_kI-^Vw zeHbRin4s@#$DLdfCL)%ZX*E}cRY@~VmASy%+XFW|>7vl+7N=x%j{>Rc0bIJ-`3T=O zu*7lvI$styAJW}<^iz8>ao%Zsxq&>d)l6eMxdhoGg}$dDuzIVwIOiGIn@_OS`hHlW z_bHv89CP@#zsJ~DFIE{O&zeztLWn0_w!%M88NFTu*1Y#=-7Z#vqm#>0sh7PCKB1A9 zpP1P#x1}YSbxTcMw6`lNF7uZ*a()oew?sSWHIt(n3iRQPr31D|2d znHe$2JD(IRfb=-Ru~`5nv^ZB6FH+AXPd0*_9gD|mGClO5qC~-d-6p+A~n#k ztSPJ=9))dBB6PibrXDXhV=Q*0O>5`SS@dHcs6>%uXpamfd?5=u310JLyWF9FXtYey?n7jVMJZ1!bXOg!Qi+Sl}#38fa z7pZLCvci<8*6IKi#ZHs2W)0^XWRsi!4c6{Xr*Z6S%h12w(Kq{;7SAw5Dv#0Ko0SN; zjW+})y*4V13Fj~gr}=}iJ~s@5qzk8dPx0`b7W@t7xVXoi|2p61CpyvzYE9Q`-cTr4 zL%QNVyVj+VnyRKR>u-!Lm0ZOeU`Pe9FQJ&wKh>J>nCDDhsq|qW1u`LZr>Zp$DWK!ouf|U z3y@pyH>3e>sZ8*b+CD?SbF#+&;ZDBT!MMi4lrK}-X$m zJ*BiTY@)WPbNzm=EU?Ia9tEq3Qy~$?$dU~856Lc+5P)eM;XU^4-t?$caaR_hYcOA8 zf(gDc=@c3Xufs{KUF%4@NLiWWX6D)cwok2*E+-(}v2&HPB6kW!SwHl-&5|3vT>Pn} z@2pj0E?QH6(E$yvB!g$+zs}+-pKDv4_2Q6~uJ={HHJIo$lWp^b zwygjhp2B%+i7>iz&38wIP4e#> zy;yTU6l8)K7QQyq)BBjW^Q?yd{{C=6G6+oq@AUn=42s}w-9 zWhEApi-D%Lm~1fdNgF8cuptiEG~FR@u6XCEn;udUbmKZ0{j;o;jNYW8ETt{$(|3+7 zwW}UY`(*_LWJcZzI!ava9>+MPRhEdPGU-ih^am^upd@D88K+mXgFYgmCmDhHFANFi zUP?r|q<1?Jy}n>$oP6ML_VTZ>;(6d$y}L7})uCvbpQ5fSXN<&udfcH9Uk2`KLkvkx z_0rY4d8pPhKI2b@-A>KLR=3vJD_F2-6wPze>%*<+6@YVuXw@J%VdWUB&2pjT+FhXb319IU#Nw%Q*3|Y?N@-+#YMQd z<8;s`6t|r#$q))-9kPQ|7EBRy;%N}MWyD$i@RA|Q(~+Dboy{1kj4Eh){X7bLk!k0# zm?jU^;ea16#c4lac8buxa;sxv?ot)eXhK&)r_k`qS?bNu1?e2aQ6@Ulzzj{z|Lf;F z5md~_znGer*tos`;dnh?@yGxVGYb&wRcFz3cSTd?!v8HqKpPEt9PIgI>DA8ksm+WZ zBE6~#r;$>w)7u@EClS^Vh@;^iLzsgDR9X!fXPbT zm#KL=>279Y<=+>($kPS1fib()w`r?>FP4CSLZS(uM8z*)F`eSLM}tKFYCGxIjkZgQ z#Qi%WD9+Z@CBLiB@g7BSyZrjs^}|Go#bISorDgK)1VhaBhoZn#c({(NazA{AJ|w0S zHS6uiLePUnjPmU`am7(X!$e8Ujz=>8?>+l=NrJ(PWCemz{O|b>yE3odiCWqInGCNd zF+>}phdAcY#dpYLXwl2A+6Xi1Lhyrj=n0zO__A;BL=HY)a8-X=+&pg&h)PW>A#xlj zKq&Kvq;jxuEf6kv!UzMUhWIP9ZW+x-r2|r^~t{;mf177V0rb z$zu$!WT@l1gWd{^L<+5C>ZjQ)bF8M+m~rdxLc#+Z69eO4yG5Qa)9Df(-qRt#I{*iR zK#PA@Wmoq9N57(Rm`+7HWQE$mgHyep(ioSb(p_Gdf=br zQH&`^UV%I*_>-SQ#&s;&b(}7m6(sPABX~``uS^^I3w8oXc?}9@8rPv1m^}$Z1UJ(GUJDAZr5;#~QTo!ULMN@k*4*lUI!G;-Bv?@x;>qgECVd zxXy?GC6WZJj=^*laGko?S({+=-X@Q4PsU^S`VC2e^L?69-(!=T?=8na$ev)qwYPbq zAI8m%aQq%cNORdlseUBibI=g>JF3E~0=qpj8kZN^axG65`Vx#X&mv?f= zka7sA>z%-4;}=d&>KLzzldugZ+ zzJA7dX}-n5D`|%FxJappV@$$Cp&a%Nv;QV)YTs0|uyMde-r=J>C;cMHFA#Uj|0!Uo zJ~>;2m;RW*HRB|9pq8I@i3{*v+Sbgm3+=?uB2=!Z8vVV{oE_zm1y-?WDyd2 z+lB(9@KSq3&{UOr(YrAv?~8uU&mo#FJ&tb5=+1ifa}^bE+P)I-y_pnx%-sYQ;hk~k z`ekZqN^Xq4C2sQ=`Iqr%s^o5OlZ^KEatZCVk<&bHR6J203pFn&)*SqDr*-IONnlBBa zWvT}oe_jEH^QPCBiM!YC9EDlI#U>xa*>xeC4ZqhC!^P;?rq&v4V9pZuL*4`E)eiU} zba`>n2OT1%#@or-;6-?^tNfJr@z431LpYW!y)>qR^U9HV$p=G?G9Z+6-Ck_&qph#o z=PiYLjc)}%@rMPQi~^ikQg)|!l1|cM%%2~!t}%E~V`S*DAjrUH?u1|(mapdh*A{-F z!NRt{!-t*^*z2EY^Z+TRcuQ^Sl^tN8((k(EQwqjb8WS4?!8c1JYzXWT( zjB(BL3oJg-1=ye#ogh!Tj>DONSi+mS{0d{vcv)9)Gm9~U9a3PoIsBba{r1v(nm+eC zWkgqmz0i>XJu@mfcr9mf(lJ2Cl-~eI)eTLA``rcXI>U?LlzPKgKGo;Ch)pz_GXzJ0 z|5k)9p#>3rvE0%B>G0_^v!T18-+Btpq6g^o%9LU!<3``3X4fp96!k1K{S<)UzCmC> za94NJsw9ak9J+!XzfCBtY2J*6RRU}az)0AH6fS1T{nEl%Rf*DG`cMbvq0p?!Zu0kh z9fjvz|BzrBUF7n{$S6G0d@XJB5OgT-CQ{P2T{ZE8kob(*7{Pvsw!yj@nq{!L)cSKq ze-z3=kS;p*b+c*%MC6rf5_swN=@Lk-6Jn$sy>P+!JigJzzJHpB7wF;k-kv#HP%4uH zrhGM_#RX;(6gJ_EV!Htwae?~T3~PYvc$UgH63835%Dv5O`NLlYYK`%Y$dkKz6C8= z3G5$ctrHp;ir?qt?$+AmaGNbB-bYPxO3nS}=bctO&^-R|`y|8GtMxX$*?-Cv;s)H= z?OhYcu3ZWu;(~9kQ?>`{*VTmi*oKnnt=7Q8))DpYYQKLE;p`#d{B-1IbqwPZ^WaHN zRG4^GAGyXS1Nv#0njuZqsDGYo`3ebHFax&YM!KM=1`Xcf_jb~p(ObFh>@K_(6Mu*` zt*#nf&tm13P#SkrnWTB03-FZtJL`*&JiH+`R)u`J_=<)Tg9{n?<*120`iIh~Mfq9X zJz9&fF!P((2xer@Vp~0o->0xoj1S+K`UJeU2s#KU0KM|<>CtDQ=1tA#t*jPV`@Cj- zr`F;}FF|rb?O6dcWmF4hkCi-EX|A86|2de@y*(U!?h^qX2U;IWb=CeQQsaOoxM+}CY9f;f`2K9bI;TR4j($@llUhP0>48l08A^mHwRXzk% z|BW#%)Y0=*isf^UJkoXyQUiPf18iJ}BaRJfAUfU?t)_y>24lh9>)gNs)sAs@T;S=9 zE7s9O3`!Xb#beKVKhy@!?!fB5@iEe(dk?r7O8rDNuH)zxmQ;&d#2v8nHCpc-t}dF z-#{GMR`Q+DU{_g;c+>is(6abwU9YKi0;b#K zod9r1}H*-bGDhs0}>&@c|eaz07YmPj_(H~ zlMMLzf1!OcAP$0u1*Aj)z{h1{MPQP&admSiW@YF8e~L}SJUnb56FUG6FbAX%zb1_u zcKwOzF&p@K)ruhjVTNovw@Abet9;!^w7&_ zM=VSOO^Z?7uL=Ypp8Ae%AUX)@cfq)#6R;?Si z%vL0jqYVch2FHX(I(9A#$lQ)T3XKCviNP3GL<(^YUK*-MZpej<0ItZLTh?Dek|4X2 zErSZt{%6c40kAxxrcVbU-H-ff&94Y;iV6_~m$_3(O#P$1dq9XrMle9$XGy3JGp-s5N+nrMQ z7pl3XTr{g$oTor>;II5$&pUNwG;2esz-BFpy~?O`F>^oC)g0?5?V7YSX_)`I8#T3r zk+<+sZvxeS<=@_k^{urEPrxP_>J)X>amI3MU=Yu5M&7QP_E77R5)$7|WEyCoaVSQm z0L(ifV;g-~@LGhy59R7AHO|0rttQ+5dCy<*NAFgz#p>m<1N-+eTRQ*tG?^_f2#}%u z<;J)FnFa}^8>&v(Q`lQcT$+t6=l>Ireda<02N@(pkvi{76)q83p zjEb1$5VIMB%Rlp#A5E|aALDMka~B>?-ur=mtmeHQOesVGJO2Ep`6gdO*hsc-XdglT zg&&Plfd1TX0oZ+}1@2$*Yhu+qdJar6L}K~ep2yC4!a>?7a|^n#wim)D-uYzQn4cjU zi<+4E5|jNGAIWlFM*NT6+4xDF-1T>;`;x<+`*v>r|9+UvdILYa+ihJSZs%Wr#<}pJ zZ2MV<@K{;!)HGpHDNnCeSsr!9(=pQe<-)mL#ZPvZCjiS39?eItxlb56n!r>-1dbod zvlVm;|NFw(+EojF6Gr>g=fB`w=mxJ0qPZp1-BRU8MwQ^cSK}~btODFM3IWhheUtk3 zZnpoi4;H*h{H?P)zzy;4u2eKgExDrGdKLzcH@xU0nvr4R`xrUA@y2=sL4KNjdB82~ z-{JN)D_KIcMuV?k?zXw`!C8iLJ}#H<)I1M7W*M*JybIQg@%>fn(Hh#U`3p5mL89UGP zF*EPVf#yO0KOk6{K?>;r5+Ey!0RoenjgJK}D=P~ElNPZa3o#q<|2S2hoWA!77H(o@ zVpRkt8AnT}Z;R*uTH?fd{5&kIlFX9gJRFidtjuhzVr*O@tYYHq9ITw*7Be%uAo2gd z3-b3w@)nL(?$*Sd>|Fo54N=S+NMoqr!0g;z&DeG|u{C9_#bxTIy{Kg#D(UEDWD1p3 zROr~)X2_C|tBayRtHOnfs!DS$<+!7Xil`dU8;BoB7=|XIde14yprS*Gcy85Yg+IOZ zvK?pRO45{Q^2>I-6#r*WL5v{FBU_ek`~#pP@i$?KTzXIXKOFMF-@s&48B#-ZN-R;A zI*SF2@-YEQkQ!*V^Cxwe+CbBR%0J40B$~Eg{{P-}(?{c z=`Ahj%eL0iRTU<~T;SczA0e<{eSTe(H*x&9lZtd};$?9JMl!mptY<<_aSZT+v`Z%Cg2Z=RP*w3U z89`O1atvHm!B(1~BG|i3uGSOv=>5wb?#MN(*awQuih_e!+r@C+1WGEkSQ3h;540Gv zlZ7cW4fpAo=nkcMkXnqTO_4{@GT6z-RDt|gUU*(b`|g^&We5eB>W<`D#qcf3dn1&j z*dM?`Q33fFE&-IusRtS+|DOP%0ABxe5>9wdQWu>3DoNdNMnaN$;Jo}O=@gvBMoFjP z{LPWni%|N4Lg-SzCNr$bs?p?hYw{jw@~1R~)0(0gO=(P1_Er;})0BHPmC2gw22I_F zrvAC6@tdZFi`yqO9Rr%~sHT@^^fzhFj%x<5Ylh@Y#`v?wG7!4h38Q=-kv*7FT?W_GxX;=Cw&x>`8L4ebB1a)7o@P6G^>~BtJd?K|P1#*>$Dj%QQto z5QxVIfShc1zsq*Nz4`j?=EW=Sc7{1C^WEKX$Aw|Wik-2NE%q6$q z{r;PMDs!ED{cgjBy*fte$zH@ zt8%z@)jk!uN;ne^xx9EKvc*d|XBh~V(MvyOI(uEc+lxG@&T09vJmcFcPli)hRcYCt z+iQn2HYq3m@DeA^D{;6sEYH-)nyt3*;+2*QTFa!9BjxM8=1DaKVSkro+%T0*!v2;h zR*ZPY3?B*Jct#+ubxDCgd2%T})R*E+a}VdDDLUi=nzMolV3l&toHoSZzC#Yh!-?%v ztwnNosv0y7>Z9rccbU7S`cU^nPfG<&ovU}%nPz%a8W5NCMr2=BGCfNDeIPLFZDpCB ztt3Q@3z*W5G=GcPntx?5SeQD(M6%qfjfPiDEX$=_FyRp^SZ38EZGSCKqtc3)Rh48$ zx}UWwXEvKYS{yF*M%fQuzwLupa2JzWFv};AROB0qxqR}Rl$=6p%`ylmatcjr@2YO7 zKBV55J|61k9;DED^1dE$r`n=>(3JOrF_3Tq0*Sl;+^JeHp?_6c>xZr`hq`UHY{T+H z-~b*q1g>q&lz=pH_K5Ezn+7P#*Aco2;#5k(oL7MbD+Rc^ZT3(_mIX}gD0-Cy8clPBf5=zHM9lb$AmxnQJX zkt_rNu3dz(dLopa-DqmX$1y4L2$$?hE?kmSpdt%FGSquSq!b;B7K-LTgT5-d5~)sm zk8nH*3*^?sBTsxB;Is1xSB`wp5lDd=U`@NV0;{6Lmw!P;!bw0_LRTfTW%SQv&Y;X?)kXKbpzf0TSJgpxB5OWsX1(;0@iV_fQ$&jFtW zp=N+Wqd#p0%K?Xj?<+BW*nju-?&hC2h^^U1L2_z z$an8OgEW8TNlyYFxQLZ#G79-#y?%I&l=jDHI=Vtc9}SAs25Bb-{;Gy}CbBGR8i zWCD>0L?T9H1Cb6yI!2Tu%s>^zK{##m3jwqIqiO)V| z;lPI@4$gD&i|>6L8Jw$;5bI#FN|0y;7E^_c$$5!WknS;2;=Ip5I9Npx(X7&oXX4XK zPpcGOI2}tZP|`AP^)sm@9m!U5$5KoVRezj)F2!U_b2FzH#8sXpw;{fqOucqs#{wtud}7T;d`fp(1v2lV$5wb)W- zlEENe7gf_={TG0?7}t-GoewK5`n(S$Xi}V>GrZ@5$|(9OR$XSktaNgOfm0Q6F`-zV zPhPDfY_N2nkO7+1rU4V8`Zf4Ze}Asg>Y7|BQfg&@X;S=Ltp!e=JN{fGKrWhF&yhr} zYc^-(bLH(s@DkLjjKmg483CSofjVNKIqB}B z$TP;>wlH5w23-d1Z;Kj}hbU>2_v6>O3DJO~Z3&KZBpVELiq3%s8w<^HCV!&PfQ2bK zJZIcDw;_XW5zs+WvF7>WI)BuLYz@u@f4;h2un~&n^APQcjacbV=*OswEePxr^S1`a z)nQP?8d%AMShQ-X$t(s;Uxh}v3j=HqeH~fWU~U8p$gN#{UmrpfzJeUIUB*Ln=VOHr zZ-lVHxvshtb<-2H1Uc5odVismX26I|d%Zu=*w^a@6DXoV*^h9ITq^@L@@cr$Tf9h3eruGK-t_I1*fXnZ1{K{13FlkVSkV% zuh7sf&Uf@WK>@rl)LoShP+ZacL)U`kFJIuU^i1VH+>ft%EWoopFqQZ9h-u5B^D;q$ z6p#`jCD;UK`vHK7hJQYWaB!>$%(^cj&SbvGXt;`^h7r^({jutLdK`;CB^>Alip$G* zJc7*2uI&RMdTOLugY6fHerlAp8t}6ui`QmDtKQRbFs~!rD!$!g?Ue=dc-jZ9)Iu!N zn;Z}yPwx-_pm*?a?Ku;DJ$}GzUWH9Rb}5+&h>gjmyywFU+JDgDD|-KUmKG>eC=zoQ zDkzfhF+@YocQcNEO%$tR^qgg&Hp0~Hd8SyF1eX?3Rb!$Y-zh@7k~5RL?b*iitPzmUN5g?o?*Jw*2cJS< zWvuQ(sSIKK1`ov(1jM zLI*x5(4iP~{X~^TiYc%t>~cXAySs4A&ZqBB-CgKUxVzAwcX#1+6Z#-}DClQ(!U@k) z_oz)m2Y>T=JmrUp>)?;=V0bJhsv}YTm}NQwOgx7z8L?7dOlHGu#+T{~hQpGL3@;56 z(r&uFxW{Qg%}GOL$ zW4YN>VD)sXi^Wh#9-)v~=8owGZgYnRZ*A}JVlL^RUYLv(4$Zm36f`z(1IJwVmht%ab8dRSir!T*F&}9hpL6_YQiOUsMSyb~w_6b1M5|M;nNZ z4X|p2KBvcGZ7Swhm%0)X9SQ)s!G=J48-LS1v$Mj==+`9|pX1g4lYfHvwYm>Z-G}?R z?gKQN3EzFFnZ>6h%(vvYPaSPR6wLVai}F<}pdR&?R?r~@;cDjZU3IuCRXUp+#<_LH zv%t`vBd{LncX_^m45$YO4lSMg;G{nf(9>0cUu~*2pCR07G3y1%MH{Kjs|I%DIF z`7(BxaH#I9#-C)4JyAo~wc}a(B2B1dJV!4=kU;J{hu&#bT_VYR`W`6CwmH;uUpDd@ z=s%D=3oKU4YkTe4Xz@q?A$EIr^Iw2IgZ2t#Ze(+Ga%Ev{3T19&Z(?c+IhVmx5EBD4 zGBuZ>Cj}{g-C9eNhfh%!luS?i z+jXwA%=&g$)_13U+3%XVTj$RC?Cq|<$5Dl?y6U>X&-KmK&sPE#;w!O|LNG4$3N~Sd zm#fWx;p+Pz`DzP;->f)OaQe4_^so{j4PQuT?^iFc{!VgRuqcIQ-h(6!$Wlt;ROoeX zO<^*z&b^QVp1=jHk_*nfi6<83qo{18Qjtm}sftLYBb824IiOO)WkQ0qEHAK;qVthX zsz@i3yGkDE3K8jwlIwLl{V<8kxW|w3kfE&C)V+Q z%s87^g{=(zH6 zU)CT9xE^V;d}CsxOt4faCgsQy!)xT(7yCW!2YyUa>#i-2_Z_u&H9l?D-|u2ix8H3l zYL?r>u8+-yCg7Ri{MIiI_XdwtwSDz}4y2)U)-|UV*HUV9HoN+c-urOvK(w!D+CJaB z-|VYlw5=-8hdr!7WS|>Afo`1Iid}G^dVYnuGR#@K%C%&|4c>ZO0}ds@wwV$MIXcB$ zA*cH{{APz!R3SiKc)_pMIk4QE>TTJ+rvY%PB10;X%@~J)iE&sdZnt1na?YH8l+(Q} zZO+Vf*D>Y%KzaS93cGum9m;pRL%ENN=N02%V2is!Jt_lB9u#10LGDZ%|`B7=#5XmC&YLE^p8q+?Wg(qyb zfIw+iGa{MT&9lOdtp6i*^^8k@JHPqFBB&kuOhQXLWZ*exi-?32fn7bu?Xup^B|i|8YSaUrSRZ1p69Yj`SCWTY2&#!@`0!+))PQk7V@Pu>&E6!IcL5*7 z<(u2Imv!a?dSuin>+ZBcR8jzDxd$Kra6PS<;^USd?NQ_kBmH~Hpm;^5!``KVt#hP8z0f_L%iaV3;| zyo^5rQ;q}_lwBzp4yqv;#Bw4E_6CFn+FM_>LpZ{YfJdm=f#kb?AHa^QF2$Jk%od}j ze3#Hl@V$ivWx-%@ZX$9l#musxXTPh4)oXfE+=roL z=7$t-akp~+I&$##zDf%hOD+InmH+i>Hrmmb3CY4D03Sf53-cRX(JBX*?`J3FQjnmNRO$1c*#!e@decr;GnTBNPveFqyr7`YAEJ1R@}#ngZ;vf&j(i5I{qC zQ*#Kgi{{atj?ve)RL2VDMP^V&5=brg(PW0Gfi}4h=AkLq4ffQX%{v?y^T0A=JwqtY zcp*bXvO{`5D;A-}UBDyyBb}M~?R5dDA)4m1-B1F^znlu6j81GJ^t!Wr@vElps-I6W z#_chGUllPeQRK@aCd$XM8+6|`?SWb$oWgTn1jBa$ahY0p1Hu0dWNSfpht$-j2}%r5 zA+Wb#6V*X_U}bW`_$uecUF?Vn0X7#t^)oEZSvnUE&g+Kwz8UKm;kDeiRk@9u9Lm>W z(=M_AaUay^ek^#;*z8UlB*nyC$w`@H)`XIOC$_K{qeR>=1Wp}`)i8K$t8RiDxWrtn z@J^Q->Vm+-3B=b8%RbBwrJ?v1HRx?9Ka{VldaBd#Wi6!eVwQhJ2D-j2cf%a41A?oz za#_u3>YzGWMAgyrnr1O8hQL4&OGoXXKKQKTEJR~@k3c=VZmS81b-P#{f&R9HeXx9g zqB)j!VsD96X>5$ZGIdGQ{wnS-QHsFCp`y3RQ_x`0e7vhdWzTw=8Eygw>xSO%%XUi~ zsga|hP6S;kLxS#TNHb2zkn$AcQ4Kf`)`b_uEx4)OJ}5Qd?XtbAda8v35h7HwXwC=C z4_OSVSJhIgG>&0|l(%gTkS}lG7RtJRyCri1>>t&BS4Zpfu|jvwB`9;#R(L87P@Lg6 zEyY#Vp2Ei#=qopE({+p-cc_EY{t9GS=L?fY@=e*r;a}qXnqH%=W7m1*9J=1#H(fRI zH%mGOV1@c!WN=74R=l1r=mm6_^mx_ows*nwT&R{{-{#ck%TE%;g<55yAvgSgpFs^s zy+jSa5c9iu=DO+Wq?=|vrB2}*P!uSp_fcr%uZkF6W66q~w|5NEqcgYImwk1ZIkp%# zAWALb2E50(F@$vNI^eWZ*V7wab^OW$3V#~HNu=(oV+r1&0>yVKV=#K*0|{Ri_O9zS zxVzJ#YKJnN;%J`KAiNHZ(W{||rTWJMqH zR565LXjJd+%TqUg{iAgj&bQwUfCxVpc2(KN2o>Igq}^GBc4LHgnog;lp|4F9wbSk! zsN1PhjV{Q8IzSJ3o%v!RPP%lQTzrGY>Lc1~MJ^pHl3j4c*gYgup(ta2249@AHs_h0 zD*yjkZF!jw_@bD@)Zt^)SSrOh-B3^>hGnMn8G=B<$^GP#E2j0?hqF*51z0M_8m3sf zv6wQ-32%fq0utCN=`jKc>%^?AI}u#0tVwMEbLq!xYtqX_T{kQlvsanSUg^w6Gt2EG z1vUidRX+#qIuu<_V+yc;h5aai;aeGL;@)Zs(wB-y0)UD!_VMbGS7u&4D(p}_(lhis zW%88l>nVTVG;NFDW`dd2+X*G{0yIc01#tN)9Fy|VI+tVGO;<%_ssJO;%Ty7!MQDgH z3|e>8`GP)NgqiqtBGzr5H^XA58bu1=0I&lkPS{@_qj$pf%68#@a7BRT1WAWVJtU0c z?Butn0L`q+x&xrJJpC!oO;zMNsg1L;=ccN=Q%7s2{Q0SOT9lJ;~WaWBG3t6c_z(0-NbSr+CS8f|GL@tP5rOGZvIlnlDX8y_-`1gEg>1~ zyhUEAS<=uvyy5$h8z9LdN7WH^VPl>Y;-nCAabO6!EERK5pP{aKOgX}LXCG4zKm2J1 z8bLDHK+KJ{<@Gd(-_P2B!jN*vVQ@Ocsx39gygAUEHk+#2R`|_BOBMbUwAc=^gekFn z@YkE`o2!2VLCP)Hmtlnq69Olvw#DzIH4DQG7sXl%W?|2$xy3I5Xy-t~6nx1Eap;?> zeK_u_L({dxYVCa}zczR>F!N~)0LdD6YP z)w+KOaAwltnXR2;o;y$_nB?iq?pEHF)t|c>f*5?M7$u+NvkwhtLfbL1rfutfO+il^qM^YU z+V)Ry*_Yk1-B$ez$`-Wrb-mtnJJ=FeT)BVg+W*v>!x5Dt;uAOg!(t82f++#(f)HIx ztJQ9olu~W2r?}5-pn}6xv1K!K`>ua_Y=%89m~ykLpy<}3tOr_16$x0Kf@)_$6-F?w z#2D32T#hI;N5N6a5z}VW1g4G5DB*vnM8FY4ip%mQ9oh@o82w&}a-HwcR&|xU9aAw`~Oh50U&O(>O6dA4&2r4uU4w8CS(3m*y3 zTaM(I#f5~ED&b^ySM0+P=S0G}tPc_!4!7W;2Rl6vDoQz|Oh_w7BuaDSI0GR6dk#%3 zI55K*7f8%$)d_1owvC95;w8p5kQ;EI#MtT^#?}g2K#sAsgPfX5{w|h}*JppZ3k&DD zi)*oHy-JPpoVBcF&YIU*OBr*Swv4y0)7DH2#t+SVs84-DYRimPOA4r>cUl=}89*^F zq}j@uX62#3=uz|2u4*9=*vd`0-k2m*8Izm>CY?-Tc#OP!hphwmgLzSs^w3vNj|0ib zmRi}wmbfzPnoUh&WXmKb#zlX(ZCLuWBuhCXOL0b)awJQUdMhqbZyh@*kbG*Q1fMri z{ORE_yoIg}(KXVgNfizMiX%XG4RM9)j153LRpKmwe@6(IMhkOi@tK?*=%J?R zBOWn4#}0u&LYOI9%iW z2C<$5BDw)Y~M+T6$_WVDd})c$dmB zXePW~I^EaR7IA7yP#?c&kUH8VP@8gMfw(JYgg{8mZ$_G92WVB&r^Ql!+q7@AQ|Fmi}Lvq zJQ~Mkuq9dtFBchz-&OSI6e|EVqfW{%U>^nFwTW^!$#&N!u$tTvWQaw>Roh|xZ}L55N28Auy87B_#hQEy`hqZ z)p;SuJaZOk`;6_+ireZmd!f{J^mo(kpTHJsnejP&L61u|fQ5?w0AcrA62}~jGM?*k zOxjIdZwELV4-9{QhYX(~lF0kQq$0x{k2)Hlv6xo}dYudxHXRu(VK&8!3$Awew3yyn zJkXSj1JvSVBYxNQd%~RGfbcC06Ao`cZ*k5EQC}v1>gSVzO|>K5`vS%vu^Ql%8>AH^ zS>(VDamgBjQXhg>eMgPwK#xsg&25*MRU=vKXpvH+|IB~R$D;Z0fQI5#HeF$VtkICR zN!cdwiih!~+3LK5d+4sS$;0qp>uMkGgAu&gNI}|%S-W4_bVkTZPnWrO=@xM|6LCM? zB8GZpfEe}}3#EYxYvOi1bY-za#XtM%x!K2H!2=F1RZnu9IC7(y#C_GM?qhz=(t0ZY zcs!>Khh~5Ogmr`R=4G?X@dsX@VH2EL6!Re+%ZJ?f$k{CRO6Cma%n196z1&P54aW`U z%wzmb29mBiT%%~{#|9;_c=t8EoiTTAXob;s;<&#EvG^TOGcVCerbDU`p7GH!sa!Dw z<-CMzJD)=S?`(tTa*?JPB@pbB!MR95ktj7&BCdb4rufrU;X|JM?TPwdJF)kfz=1Px z^M)?t%r_3n8BQ@FCVTHPil8){pF5NW5V$YHEy*!E&Yj)ykn_aC_$~_>r>lrdNup*+ z(!%&Vr!34WoMy6~!~NrQMY+pt2~#nog8AkLluT_1FkfHN<>Jlrf60j-a{EXo?L<}g z86AI`1utGH1VweA|Go}1TwOyk13ly}s`IVzKxvGIQ3vv0E*sMO7wQpkorPAtr`7?z zOkLA@J^Mim-VF6buZuHNGX4sBDd7bZMxUtqsp{cUIpiXx*y$&{kFTm~sGD|g&pXLH zZfoHUvjI~^Gp^kj8{sbXpD0cLA9$>D9SDE;O}TG65Zw82l04LX)AhOO5b{#Vb0_Cz zOEfdjhg|kT?KwNohie*QX&?_`Ha5mf2dr$H;WJ6`XWAf6o}D$hFmJB;+L3(XsP(oU z;L^0M#_g^9d-~907 z8(v%)R#=%|-P~OXX;^0LmB|a17jSEN^{?5hU*7%l+u#5B_Ij?fZ1&H8*Y9s${}tPO zcJue&Uen#Tzy0OczrDYnbETD?34Z;bH~;t{^WW)ye|#g%Rly1aKk%`6u9(e=tGSS@ z;PkBz8MlLX;hijc$F<;r>%4!cug3f@Wk^y;ze-9cxJBzvr18~ zmw!&oh)X7NIhxUcf(7HYd)_2I1oH?T>gHPHv;BumXQ_{AW~~~3OdKqK&Y3Fw`frk- z6xLovo#1=?#r0eix!bR~$cx#2TbIrKWl!DY;3UaorOHXNBXr zB}l1eyL#zAx@d{8W!==xed1FE%sJEDNFNiNrGT_VSl!+AE$ov1P}|iu(vgX=Ei+k9*Z)ZD42+#;Jxv5?0h`b6QdUbbS$vt% zlE;kJPe2%dW0QQ!1%sEqkWWX8lqzP^`=rt@@}5Uu5Q#r+>wV>Qe+EnfQ=fASzJm9m zUbU+!BM-`+KZEkWrwj(uQa@9w$6sH|q3UZn z6j&vHXWB?qGhhk5v+XR2;NBC4#;)39L!`M1{mWowPwI>Lw%UP{xNw01jvn#uj_%aW z@^R5U_Wu1u*W`=@tcG(j)`A0m1RXC29!*s)&~QG`xYep!qv@>3^Y^+K{QN8%8SHxJ z?JfzP7fn0sOyo#3B~E!5Xe^!=+UNs!{h_ z^sd^c%^f%WXg3Kt(T+J|_h6fL^E8j$1By#3T3DG_U%8~4b(7En7UIERscw=RSLpnI zS&@r(Sl*|VYoYYW+lRSPfQ_vvz?PYIlbdrGzZeFS5LTC4l(npwu2COMxBDo4{8S_{%Q_JU3j|*Ta(&G4Y~4eIPA|VDG(9?qvFfL-LqCY z+8$k~XnTUxzywLZWn(M|?=0)xAGn+h#AhOe;8L@!(3fGf=da|x{)pW>ZUbAl;fax`<$_#26yj9_Ul?D3I zh5M73dKL%XUglvI+ty<%DMts08@@lKH^qRs+q6Ffb~ftt0;in00A^pMB5oy|7>*cJ zCt-qKe7Kp6zs%RF7zNrx!RPF71hlr__Q?e~T?lIR>~7nxsYT;J zV^w{`4%Lb-cM$9?suyH`HPV1PSCZ+F_ND80gECL(GJB3K9qKZm z%Ay6X*zJ++tRbe1X;>}qtMF`sCG9De)WNvM=`k3;`{1XCcGsz=!Z>q0Xh?t++{w0@z#zdOQoCoOM#Gn`@Z{FU2%`udmyC`x;4`GnU z#s1L+n0CT@kPxvM!!NhtU+p{PV2<;6zdM@vygfS3=ptG#Sw-(D&50Tw4@ux?1+1aC zLjMd&X}?M+j!G19Z)Cpqat_dqlz2B;5Wo7w>kQhO#` zCUXEHNGv)?6R?=jF^DmynjU5hOepzy=c2+CQ_dv@c|s0<_1oK2G|E|C*q}JO$P@R` z{jAH+^_pVSe70GYO}VA^y^Bm;%!8NY6Jl#uH}@+bS~dUZ!xg*>hO+XbppnFP7jaZO z%o_po252uSw7@(egZbxlmO_c%B;1|K89b|S!yGHzxKEIIoaj@6qk2}KQ>zDC7P3Ce z#3yr>>qrKFgic$;X!(3%P9n_7r=>MB9v&1??pN7K&`C3E`i-cPWlRXK9Le3F@eVwA zQHSVcCjL;qlsS+FSbW*guR~%$&v=qNIbwDkaRE*mYL;;)eZ%dh?u01&!IN5@csaQ`9$B%QL|lpx<>dIUUm4Gn3XAS z8*2;T3U&kz!E1l4&5q=0cO*REwJHyHdTd*FDC zw3rP((v$N#zfaC9hQveRTONH#sG?R>8LERAkaJT7$OqYl~WA8 zB&?29EX%w%DSfA39p|;~&)v~W zl@iLF=rA^Hj1qNtix4;0L`{jmW$0}CVp+UHg|uWA~<*GX6nX& ztN|19YQ^;an=s(Wf6G!qC-}H=? z5D)v%bh>5(Q0Cd;Vt*9ym zubkKEQQZ{Rfn5((R>uWQ|6dX?7j$F_BP|Goy??l>2@;e9-C9AG60W`L0j+(HIkdj( z9sSlFayL3L0FV4>0%$qaxpV%HnEkD47Rg8yys6+6R%u2G%ze(R$zj5VbC?K!j#OAn zcaUNpOkVVp7hTzqyP4z$aH%jVy$~}zvo7L7+Exb~Oc;=??Y7zx?$kC*s;B}=;Iu;m z9_T@Kn%;5ZQ?Hi)9VmBO{|*9Lw~Yt-;EjFjZ5}Tiu6XF6$$kT|yt47&<*vS6#g$!& zZ2&4CQ+yb6ghW*LsVU8;!2ijA)G@>EO zCflbb!P$(4(9FcehnYMI0|uRopl(;<+~6iTL|iM}QfX4FHN;d0SReuO9j2}bQ+L1X zx~bPlfJfg?y}F^s0tC(D_tocey#d|u0#C!(+3pXQJ=+sEO<{Nj+`znlI19vc3Qvv2 z{r%&{)q>Eb6!6vIyXw=+6gS1c# z8*f(?C~76MBbX;_K(5Ds=jrsgSS*~>>d+mWbeWP(9Iuznm~j%5myU-!sP}R4K;zOf z9-F=20b(qAhWr}EW<%%_WJvI1b^0Pk-7cEqJ_9lvOm={D{GP-cRL~fXj&wxq3Y9O* z`1laax^+5L=k6Fx>M$AfmiZ}W;zyW?0_?!{IzZdl?xF1+mDSFF73K1pmnru}gOvkY z2i`Q}9c=YmwcD5bYVEyaO#3ZX53_wChc|uVdMiY1xEumj`8k*UKi(*UM%%^wXf$-$92w(ssLQ0`LvVOSnw$nWD>zPgNO>A=s4Z1-Gp0S?Eg;K7`VGgw!w z$_z|*@Gll3R||Bu?T$d(Skt@fy~{7$SKYyAGb5XS;v7K#N>CreNHmUbdbX{&XE1K?-Zs02Mmk6l8`9l50%%Zx@BR%68EO-q&Kk}Bu3U7!iQ;ZA@VBHNS7YNJ zl^fcA1ih4|RRb$@EUJWCCQ@~R2cuG(2_6)Gp&kV`y;|M*Nx2WxGU0L}Tr+qqNq%kY zuT^XZ-1nS3z;CS1d8TGv4oiSsi*X@&5CG(ar__WMM696-#GDylHVtw1K5$GYqs`JE zu|!ub)(&0AoJvdK1)qB#IdQJb3J+41_Z3V2_odf2Km0FT9EUmzWo~41baG{3Z3<yeIGJ=hos8r5;^aV6 zl*L9OH6)eR?Vs;10MaB4$7z~e1QJ;7d%syMXzKcCUS^yzC( zSC&}KHFBh@lnY{+XZ8Mc-Sv6B<|gT@&$yJpPsrp0RkS;dAr*>n(XtRiu+xoNWcmAnv z{95d){l*j4ey0k5YriY+@hQ`0o6h)l0a1XiI~6-r4=ksYFttpZUEV+Y62d8nwwnJ3 zt*P$e%@Roz_;5^mr#8=M(s>OJ{;jI}vaOmn63+|;>t*HfS-xWBxqzy9R!bit;q}il z0|B*GEVFtMFQEWfsngmKR^1cO(qzf$=(X(|zaIB_9n7hJy2cTiq#3rFEv(uiK;r8M z%4A*j;c#Ce5C^hYwJ<{O%H>ei)gj;e@Ntc$#OI;tO7F@HI|quoIkh>0dlxa$0Q%}N zB%rro8d5EHnUfb7ioacWFfXZ2u5bMc!K>P^g~!dQ-sEjKJi0&c%f2t820$!3dV2mN+ zu0&jD%BsFur&1bBKPj`MJC3kWRG1)zKR&vkH~zHsd)*1&ebyg`?Uv@{DnZQ1zeBaBt%Kg~hk-lExeY0=sD z>ClXi9eV3?`{4aJy4UZzpFU!dvSczWM=Vlc5sz84&?I9slc3W?Ad(R+?Ke(v3wef{ z*#uXAb>7~*jt!-X&^vEVZV)*3Ss3@>#wub9(!-b zFgtltLO3dD-b3SteRLi4XvB47;jb&=VH#FpfgvV20m|i2Ry!hlHS93@;IS)y` zZ?Lxr&I0I!`LzGXO{@N781Fj&idZfA!977kt9+|m$Sz!%^@ADgQUs;A6!d=1}2AnzwA0SzAWg9skx$%}GZ zwq;$E-LlbJY@``w4%L`~$1WVqn;r>8SADO%f>m}~xRsSR? zr6$Z3%tK~u#!y?z*A}L|k%>ROdZOmHw94XU5mF< zniN6Bi)IaPw-e>x;|0kE0+pO^peF#y^{Kttc_~n26Dbrw$BiY?! z!~>jiy>tNsY&1OhAY|^9c+dx394g^OekxnAd=oWU5b)~c8rS$-;#MZV0veT=VjKT{ z3717stMqTLPKaFi^rl6k{J4u}9Q4{dxPRg=wdfZ5 zJ-3ljk|mvKT26%sHvF$ynCWo~D5Xfhx%HZV0cmb(uW1u-`>F*KL4 zLJTN>_XBXG>(&Mg$F?y^I-JBQKoMd8af{C3>%!zH=U-sGOoZ097|Elk+ zuIhfShFZxtTb)85sf0jEr3W zF|>E$28bHDS(*am=mFC9c0gx1auIt6PbW)r3zv^P|9J#Znot3lxVSiI|K$!4vIRO> zni$yu+D)uIpKo`&d2|>wg;o{=J&A{O9?oMxH>r8L&WX?}T3vjo8 zbg=*^1D%0RZa`DOUz7pzMz+9zQ=^9?2dG+DI{&Ruu{U#ZH*x|3J_I(FCO|vq4;NQE zQ=k*zBRfDvN*18t0JQttSoUuNTEM@X17M@d;b;4((Yf*MkXfqwhl&io|bmz z05eM)AV5J}mfpp~g%)6BXZn|+k&Ux|{fEDin~|lBk@1JYze+a(hzltJj6N9to1e3Z zlcj@;GrhB=&0icD{tENaW-&Wc5qn!(pq+~|++X#HS~>wuKKky-@bAO5wzGG)^ZpMq zv$Qic`-_IDs{@0You#8IP)hXQHXkCmKQeQm3xJK0k&%O)699As06k1B82(Cspz7%W z{FjpHFYyNlUvCF{2Y}fJ4WO^38Svu=&fD3@4G3^?as~Q&|5Ne52#$#fU}|aN0x$-e zTiU_>iT)u5n*EJG&fm$>1E9nBF@8({#=k!QebW1wFjIRw8_z%H|2kp@2`yC-4H=q$ zQ~s|~SlHeJ;7!NI4xnRZV+1gNF|o4(I6fYH|2K}Jk>$VZ_=m5QotZs=>+fc53D!~87lDGeuTp)n*&!FovvN4)`d@=oh9`}E_{QsNszoPuV4*LJCNZi%N z=3jcszYYF>^hUOpHlF{s_?TQ*mya!wv;WuyyZ>vd0sMP)h3#!j|F2Ge%Ejno7liE0 zZT{OvOJ{LQ51^@{rHhHh-{bPPTR z7XO8;AI-M#bg=liRR36f$SnT>KWec02mByo^AGsJ#`X{VSaXIyq1Zm!VD~XJ|ImNX zv;UL*!`c3S)F0(K{84{ocKBFG`+xL@>7)FAuwnYB)%j1pzYx&vA7t1*%$+~(tv?PQ zG5>V)WBVCgES!LU|7h3;0T*}se>i+_aQ#QWKlJ|qJwU?02*>;p!1GVRAHDGcI{oea zKTBca>g4qCYWUZ+^|3Mk!T)*>0f8Ps6S$>$dlQ~utGeL!hZ-S#ce>qiz8UgejdUtH z?-4|p(|^CGvjVpY^ZD*#tGmYC2k*g&tvLQ{tk`gnbbk6; z)ERFvtkYP7af=x=iDJ;f6}~;`!u-aP)WmTaOe@8VEsS(pp3ONVoxaXEhhgjdNexV6 zQt8Q5^Mv@*e^kE!(#&gi$7z|sveFsa3F|3PIZ84HUT-FnKEuJ^VDi@|fvl*d;{Z5e+>$%_Oh z@hskZG3kQ3=S&{_jVXG0zvI#X^_dz+7+Gl=gDDuRnT9Pmmp3gpnWX}vpFmw#m<-tq zCC6A^^+YM5`4GILM=qmwXoI!S6i4Es&0G?s>TN}jf^OE4!!AGQ#Xk9Xm3L|vSZ49$ z$k!q$f5;Fqa6aLZT)<4Blu8Qy=IEFg;3p~1`Ie3Ca*{gi&O<%58*ak}-w7`+jwr0L z^TZUQLP-494_3%b-FSizHT%mDKbn(UGrl$O%0{gm5Bf*2RKbmaj(a&6-qx52EQR*I zVKMGhX>P|_4T7_&BvAZ&+GngE)XsYch|`mSf2yWjv%*Fjg;6M9LVoMSju|D8rJC0< zwY``jL+c)-KrITEc+-vFbf}uPPQjzoswnLsF@J9>c&?!MTw+&=t7}-NrxX<& z#C?FYwc66dZi8#bXv`IAtJi*UNqfxjyQD~0i;NvlhbB->ERuBKN3>kN!U-kfL>;~8 z%cgAgRvC`&E%m10gBQ!^;_nobDeT{ae=nHRR-hs~$suVdQ*JV?0}ShMMAzRK>W08l ztSQlk6Jz77(@`9%kz5S#^bdu5pTcmq=4y2%1O1M)&<*ZNM-v;~Fkzn2O~|{D{U|Yr zf5S<;EjS|~`=$?aInKN9O>TH^=dp*PRgF83C!xv(XTUyCDADygeA)jTK@piDe@9Wr z(SX{5n(Csx{tTh(MBwkkmLgaDgN>yA3w1{|awoyb?<3xt=}oui<4$GOAVBp!@C_ZFn!z?50*&ggW!fur4q!bVQB$YoqKwF{ciN# zE*>o~n5D4iiPmD>S~dmM-+fKPf9UCe((wEBgSR5_DbW7k`G`towy_#T5v}a1rARz6 zG{f)_Rz#b89w^%L!+US7`423!+k2KyP(U!yJ!+zljayuM1n|FyPSqw30cbPM)mxmi zy}D9fc7;q3{o4>F2xkxq26#O4uQ?Q^#ETf4hiu!B+Gp zHS>mS%xA$zep)B$X;IBXI4#{ma(+H<Lu%+}A{f>IB!i)ifPj zpDQsuUkz4N0IuzqC910M@fiE% zQDxU7;z-&^s%qIvk8)%Af1t6zaA~-J=#qH?Tco?y(eW1MPW<+>z&EtqVtnww{UgwIb9(O>stHtf2JzP4V15(5JXU5 z84%~^)KHxR1QGI5cuH=?T&!STZSN7R3-`8x$N)P|Dgx2$qjh7w!KEDNci!_~YLw=? zw~LQ!l!b;0%xO_AuZ1|vUdAktjN9;|w{$qF>NVc&)vyl+lIQVJ`e8a9Ky(}7!L2RC zv{-@{)@b?55Wr5?e^WSC3qOA+A27F=MJZ{LF7q>^=hXUXDNb%I>8&)327nP}eKj1P zL-#oZ&EJ~)=L3PHove_2iHf$v=JX(j_j&SwTP zGr?5)L079x8L3>tGXS}n)szxtT|RF6(+_VFESpE&NPwR8P!*>-T*d?F`GwFqAK%1- z(=9-KN8kUBde_$DmJ)bh@#%_BcVMK3`0*{TSGXz1m@{CqWl9rqK0~gw=4V56CE8-~ z7MdlTL+nO+e-zcA(|IXEp5M+Y({(0%&q7=#G%t_8DQ&g>413Y8SvIX=m&168&qbAW zyE11hN8=44za@M)RCrS@5TM@~T>mv&e!Ae3U|Wp^+CjEqwT`fOSjQTzEcvXh+NZDW z2j~sLz<_pYvKk^gdyh>P834*{&$T*PhfaY`cl2vWf4Z3(4=(FlR7_nCt`d}0%XQ*Y zaD74~lzCeik$Kv>{n`p5F*$)69!6KYMMP0)+Y04uHh}r|pk*PqzOy!{pqLi0*|3rE zQvpY3GCXnIKvy7E!)26rD1?EhB?h69WKa21rR{1@Rc;nl)m<=Vsz28MJ_zipP{sL$IRLBC|-Q~FOyeRf3KHD-ml~UVs2c;+trbuY);gmYYn8h z4!O+xrxGqhgk!S~{D|7-btKVn5!U6&7brD0vHC^>k)@{MReA; zB*8g63h``kkEcy;4Dy2&xhP8X+fp7#G;F8Ef3+eBqFEZMkg<+IRAR%9_&OpLRAx2$ zA{KgStV(r;T#cMZ5))d_-{^k0>h@f}f9XSpP0xCiL@hYuEU*k``4B$g0McOGzoqL0 z8^eVpRNlLx&HLy^Q#JxsEi1CqmNHILLa@vU7Kf4g>CrQa-a}-1X&{&4OQ%{%itm!H z)Gl7Q6H)fa(+IY-IX*&m*CzMgvZw$KUg-!R5t=gV3JJKb2-p=S#7Krs)| zWHegGvpFwIlKp#F&|^WLQRlQ?fAkj<=uYLAD1FljeBtMk=&utrEXy&C3a5kd`9R%+ ziUmHEia`8gxcQq(lrukJi!Htl@rHtR5@y{N zJ=z`rnOZ?7AY}=Xjrcxwe}AMF$IDX8??uBx_*w@Q0rDS~KBG~OET?{zPOdiN1xaZ>RMH^wV%#7gIQuO1Tg_i^Q8*N z-ro00+Th0JMXkL*zg-R%e|IV|H-Wk{2Oty2WKMt11PpkEno9 zB-3PUPn?$q9p>dC&def>9JDgoxyW-l0x;uk;}cYQdnw_pYY0zBD@>%IJ@&2TsV&Xe zm{LTVCfSPje~W$*%}juAhcHH0Uv~71`dMEwhuH~clBui+6u$p9!UXggA?n+EzQ*Y1 zl}}S}p|7V!+`{Y+mXjBB^76WGmGD^$B#(nHzgY=ZDEfS|zQgio{U-i)66)+rt@+x! zDD&N_IOE#HLC@bWgOj&Qa67&`ou%oURm(1OcGws4e-uzI4*Bs5GB3Y){hsbfFn(Lv zURn8Vu6xgjCYBN^lJLaWtbN~@*<_U8yjd2XEM3a(-Er=|VSmA>pA*IrBw>{vB91n>pq@#p!$}~Sr)HcfrR8==YDRZcZnqI_Y z^i7w^8@foY-c+LKW%|oq@!+gKj{L$wHMA#p zCPW`r7N8)f_6xEasK>zgIAZK?<8Qk ze?hYVvr>RP(SG8rcT>XPZ7m@0W#0B8iQulb?L^*&m~v(*JM~=oc~*3;Jx7l&4D^0S z@!E{)^NHIFYve?Ex0tlL|F{lUr)?1rSon!kJdzU_aSZU}*9lL9hyL_g(29Ie`dG$c zMS>NF#`h!AtorFhs2S+wg^~K}ju90-HpzQPJ25wJaaI$;$MPk)I1`7P7 zs2XI5Su`)l-G8FNgUBk~@1l9%cc;6I1C#0T?@R`C>0pY5a)r{nKZCHyArGVbf2`JR zuL2889d2r!G12uoWth^RJ*mwZlF$1}esfeDsQ?goEirVghLTPCUNzigiePbvmMc9p zH3vw+r0hdDqTpk@?p9FeHsMR8O}4m)X;cV1gW8}d0ci&gM#bw8Bqu}8dK78Z%UgP1 zt*=jeR2pQ@Jx|sQ-mD%*)0G#Re|XQg0as%!b1+T}&E?(LS?18)E1m?~Yck(xG2?se zG1ycj5lLlok+F3s5Ed$M_HIo25%O>$uXuQ~Ok0RhAbRW8w+4ikJ|EJ2;uQ4sR8l#1 z9YH-$p3wAq%dtINV)0nGiLjI*j;VBZjhaj}jjCVbbHWj+)fBk4X%9*ne^d9@F!fwr zW|Kyaub(=wUO8qwo_c^+X>GGmS(RzoiJ|&|2^l~bu<%rd7m?Cv^TT-4`2xS@%^UQX zTgtn^kOH9M@HRJ#PzPF&o=~N=W?l@=&sBOq`3r!u;`GamIEee(0;cbY+#637L^!+{f0e z->xxMRA5qlmv~rsQ04i$wVB=A7_6|2F4ew?oY=S~jumyXU#*P?Apn9L~ zIyB~~)fM6ha+t=r!gshD25!(MgPG&OLb5AJ9nnen;9fJ>4`}s zEUz0mE`NwHPMl4n^WOF+O# zx>sEldGpOv|6sZDz1jSmt=~qbVVyQ}^ugw2xK9-1r1y@Hv`Lzh@Ejpr|F zI@XtlV5zrX{Bhq-obFGSE`6%FxtmecA?4$R6}r{DkcL+ze~mAUB&tOvk*ZJ0*vVL3 zWZN52s-=xV8{yie&g7+VMCQLbHX6~(WT4UxR3h*Ph$MQ#*`&a5e9o~oOM<6pupeRS z-z?=0*|U6`4k<<5btR}nwC!F6%1;D<=4OBiGVuU}g`ZC_&wRBh^JlT~713F`K>5ug zc3=$4ZfxD3e?7q$E9y2n^^$yL8DSjlH>DR&2LTy3OXnN7tUIgfBErIfrLz0a9>18J z4N5C;DRr4gwzYRUwCQJ7;3Nd@SGVv3kAQgD(G9LmO`L~_$SfNUsV|(UqK>pl1056( ztH?SmatJq@&QN_W^9<+{W!*ni5qS2`5}%upMR+iifAvH~Yh4*v!Jxk(%oQrV=#ZIe!52<%(8)W9QB$-!QpK1+O3Caf9MkU}IPQP$$PDAssu zTbTx#Ihr4+IgU8b*k+^=9Iu~KU6ofI6u7~TE?hnfG-{JB_we*<;lv$sb!aT`L2MOZ zJFmfge<#zSa(r^_HMB9ZzaiQ-qW8cR+na}T4 z!x&pc7|f;K&G*>$pU73PT!=Spc4E*qv7d-g;T|J}5DmQN6O_3V+GWl~YyQ5IbBIuh zWG+h}X{)f5US5`GjKl?_7@yaH2mRxj$i8PVe`N|TW%zgSqymQJ@_|JQWAO9&DvFz!C+h##U`pIuj34nZ`|vv%dnzw!$DL=XZ)by97oX|Xi-01 zCRl`-{C9e1TA7(b;)6?WM_0~0d%A|y;jz_)h?!_p9_(!t#HF>YW}HifOB6>jJgM_3 ze?}5_)hGNOOr%b_A&4>rGlx`v8(wN>l(7NnhA+6M?FC;u%<$%@O&pOFeDN1U{CbfRcQ_HtuE+dhJFOM=7ceB+4e-9eHCt}iSto?0(74woZg_m+wz;s^f8VbpX z;Uxs)aD)0-48xk-m6868UCS5dJOv`a=;nqK&c7N??PUekDYVamk}OdCMJSSVhyGYTrk+4@5|wP&eawHax#F{=|6!P7u*e+T5Nj(g$Cd;<2niEGc$xfAaU}Np#vn|y~P#2`hndp=lUw-TzejfSV z@^ZbJdy*{)nE?w9O?)t>$1Lgr0v;g1#cH3R{>5Ce*mJE5!VPSHda8euX;-@eHBHu- zH!3d{2!!9nDJzNqe?nDOL+XF$d_+9%$PfMuQDf$=+;rKl(H>aI9HV>w~j{1 zx7+z`*wt@uk#=m|AolZW*Pw$d_O-0#4T6F|GhIKltDL?ze-|iw3TPDyM;N*Qy&oj{ z0Nd7Eh3kqY9t728&RA`%XKVinqaZCsB+)ckSl^8aelW;Nj@A)6=iGLu!vI)F&YzEF znd|BxjbAFbE(kkBp{QloXhoiO=h*1|}i1woY2VCh%hrA0A!5Op&vATwGD z6|^C1MCIPue|ju%K83u9$&!-V-!vH;xZW@H^02B?Yu`hEU+p7GXPAL=tzW}?c=m9vXEqu<9~72H|htzPe_#1cQ`5FgvRf)JMlN;Z4AcbKFu?Jd2*i4 z%^E3GI2+B|kd*P7jfE==uJ3$8Ig+s#XZB$iLi#bRf6)ZD5kuk3t=2Tt{sl#}eE_nE z?fc=RmxWOXO#L*D_b}99_bdws26I*AHFJ1!#;DtEWK12#^idoY4A_c(8EehwR4fba zl`bClRMZXY1woVQ1uU2-yEsF>YNNIVJNmoN32%e_+e=|%D3I3abIdm6T)0TcP>lXPGc02*7 z9~>8#RfiT4c6x+~c__?d!jf?THO3Ez)ws4MxMGxZs8i9Q8yEIkZYFvK=;;2ME&5Yw z{!E~70~G<07Gm;Zh~PBgEEu(*R!nw6(dPp|D#&fMQQm zf5UKe#laLn}$SQlZoKEsD5zddAg zd7+cl4$XZsl!YZpVgEZ{dJf|K9=GixRA&-9Q|)yP+?FIe=RqzAK7CF@(XMx8xH9gZNxa68m-$aDqyT8 z5+o59FVYgTQS_lxay1?OstSMcyCdfuc6{X@(TZ_Ub69IgD&6_+_r3q5Yf166#U`TW z=R>}vJSsTd#4C3)-1ig&F^1nO1r$Qw8nmJ->^s{ z{~YT5gMUcL#+Gj}Ol})EAYU9hM20Fe->x8W_+lPx^#%5GEg$Zy-e>bM2WM;1Sei88 zmHQQ2OfP8+YR^`kh6c5D9;}s}L3#;FE_|bRh1eG=A7$f;GL6U)Vj?^fAl3jbLTaGV z#EBw@h`7iS%`ZlK0ykWtFai*)e^arOCnb7UANd@N6DLqa4p$YylYPp8H8$PJ%k2o9 z0d@A0YNbyt33iymqR6>aZ;mE2oNHubLFJhR#Xbe9;Tc{e0U{Qrq^h9%Y&)Nv@dLEo%fD>)fq3B++xpML%KaQ zNgO=llsGib^=e(hCk`5>fACEtF=1`EXbT7nI1!gfOFg>?j2zRi!(*&!tug5Bdzsh~ zkm3sFhNFlFm1gde`4v3(Q!>t!}`>Qc%DKq)0ZXeT$R4BI*@d(F^7 zcJhJmNbcW!^&T7r3zYVPwsV6`p{;<^svavv_c(6zPUBO0SA7Z#f9J^0GUo!LO@|4} zY5ubDxl-tZiGfCpuW1Bvl!kT~fiaz~Mqhkd9x9WV$S6!6iD_~Co;5h6u9xoFyqhJ2 zWe#G^aWTIK?yIIClUbtb+~fs1d)TuAO)Jkh#b|*WgiS=H5h1H`Av?3v=W=azd9Vyvw$DrN6;Kwic^0r) zxRkjmH{!7;dRUB5Tg7nSxn%CnfNbD6L~0m~BqPJRV4=)ifBBL*4?IXDV07u~5Tr8h z!1fXMugMso*Aio<6jcIUdMeWM^YGSu!stpi+icT6UC_`?i4*trfdxH^=OA5dmd${m zy;d$ARB~CMcC@*ZmNT9G<=!*4n6J_%IVp78MN^Y?8Ru*$S=|5bq<2GAiKN)a270b{ zvT=kXyOqn$f2ln`wT5IUfGy`o+aqa80U?FH9Atu{&km$%2eYk-fbL2Ib)O&l!Ix~Z zAdDB{n@(7dcu&Yb9mYJWadoIRfaVTf%$%b4Lq3Q`?_jtE8JoMYdC3|p>e|-Q38#NX?-M;hZ-%1k~+qMiV zPg7{$Ip6H{RFu5^aZsL65u;a1hYl?ttm%y~QiCQ8i5u!cn0W4IA=;>=KV67QaVUX^ zV0JK~At8NdwZeM93*TgDmQWefoa}%^?Zst@lo_w_mvUG2#7yTcNy0*rM2&3jw0j}-__je5f@8x~?>@S5e@L`Z5(393 zIBU%=nrKj$8Et0Yb*?cG&&%vO*jJC`x`7$l*pD{> ze}rPC@hhK7g=ZSsD|}}c+~5+khBz4^iK2jpcb!Y5me6U1n$2wW+=7ogJD$`{5j8}) zVD5u+!eEe4D|dfg%#KJ<|7e>=6cndOXIx@L?HPgA9NxjX3@I7mHQi~4o##k$l1Lh< zKu{!{-Avbw={(6Mvwi0Ue*$lyPJdPYfAQB!Gj#o_-zV5(ypmppP*4G|fuW}lgqjY; zmCFme<=$8Ews(9#&6R)IP~sLBiJW+A&_*b1c0)ojKc&3(*(6tQB{>uBi|N|rroQ`Ngq%i7o6c3-f7Ce_ zY%mDS<&KmuRqIRdd-)zl)trwgtvNWI1z&wFugO8|yi9mYD>SHv@S&(cx;Sj}7f6X# z8@4XemXk(y<%-VPWShMSuBX1B13PH>dYb&Mocs8Y)|TQK=F1lO=CEuNLJE&V3w3V~RajN~Wu9lbQ+E_OrOal?Pk(p!1U( z%S)>( zpo*y?4@T6xRdeOCMgrc5N)IJ^zPE0`9Cq}3`tbbrok3IHqwdkEbm)=)f5zLqf*;eH zbaJa-lG5&_U3sa|+SDtK6|@{rNuoq>gwcLq{+RIafk{m`zk$Sf?-zsB6!Y&Qm$Ik0 z7@ti|WLg=sC!%^4@~EPdo;HYA6T`LoA4SOzztPGG`@xn<_DDi-IZ6ACcIg{5*FY|z zs*0&S=H)0KDQy~6UgCGpf9e;tQMFhTD0cxbaj)7_)L5+)?cd112o+=fBFbR`y;mEd z4w@k1fj3iSr&(?w6YdSBAvm&MrndsY6iNy$3ABjxa|FtuS)tHg`*m+nwl>1gJ*AcHw=)+3%25XD5Q%Vp zeKEZ`w%BPLIwEY6WCY_zzB#iXL|ShJ@Qv=){d%YSk$zRhuQ44dn+020hhv6saMtE3 z+^skj*L99u;gd%p%%K{p&+CjWl@;muu_w-U=( z53x$31}}83SyGQE6j0kemL~f0+HtJ!=yi2|w{x&F9%2SYt6) zmJ^coUxuT`INsFnikk(PX`}KldMVs{-gh~%(xLglq@4ttfs|=x^=txj{K`b_h|SFJ zSdikMe_{`1+}e?4@1j#B4@LQZ4tzYV_T(vbE?_4I=?{1Bh?WUzO(7+$4n*Hml!&;J zccJcpf8^xZ@ftd_ii*`)a-u-gIcBZg$Ut#Cmt3<>MmdR*aCIR3QL-b*e_Q5-TEUIzn0f(wM<%)DZxx4mzxF;zaaE^EuF$urD_uL{U!q=2dRQ?J6dvd zB-On4{8S*>6Mo$le}g)t>7w?NN_AhjEm~i&R#x(t+;$UOZ*M0~4RZJy{6J=XNUw>m zf2w$tG!}QhjF3i+4-^=C9;}#qju8gMgZhz0ahxUUwjG+*1rN%OP6pLj%P-e3$`up$ z+h(m!7;`#4isMhn9xCitspFG83Iq6)_D*H|iKv~SnX>n}9OgoC;b$XQZM_qR3_a4y zeKEZ;&SD*z!>0A3;8y437jC=KQZ#APe`~Rxzl@6_W-BwEH zYOT7G>h6x}p@f_eym3SH%Z(a7D?|?t$u8&TOOt|D#YrzWl$Yj5GsEx|c#iTuI~jRW zP*KHxBRxP+c> zK-P9=(5)=hW!e~#w(?A~`V}-}*z(ea8l%pp2dqk=p}J8(;d04N4T_W8vt;+4r$93~ z9?6ej;L@f0qP%FOwTp*>m*$j=vupE|K=28aDGx4~QGXJv)XE=RO_VD-f50Q2HWFv; zvD)T1h#OB)mr;U=Z6dXbPpbBookNdS69k-1+oYl>YL?R!MlU(o%a>K;lB7zTr$_Bx z-`#I_^JO32>XFmp<^q_Y?$Bl!M5QC;8G)2sT|kIi2Je{oW$^aaHz)<4Kb?|2%n7X} zoSy7Hb-RDvwKA6-DB!0je~!yn52{?Bmw@6eD?p%~Ir?2uWj))$LsO6Nsw8Y`Z0;v7 zYem|C4e^a7P%;z0`?=-YT^m1kWp!v+7&KM$rRLN-**cBbm2+w#tJ(KeV*$l9bS#Db z@2<2`!ij>s8%+`y_HXjjOKVaqgO%Di@|Z#CU#Ip+Ltl{gF%^v3f0Gt7*H)+xNR-9h z@09Yuo@S~!ZB1ThM|?Bk4Cf$lvjVi~Bv1te!jSW6Y?$+sD-TV=jg=*XA6Gn{R1GWo z=@oC}Rfo&q1Jdj&RzM1r1kx4^pii4B4vf)mMBLSP)J4}JAmdzAO#gCg-dJK??jdLJ{J66J>Be;+g4JSAU~b0NgZ^qS0q zs1Ab9T|3^a)attSKO5UVA(emYy81#8>EJ)xNEM1oUZPSB_&5$TF?RP__Y?!uFShOW z0r6lN%Gbtfjcq$+!Feht;wDd&!c{T(@GY+1AD}ew7kmOl*-bJG>9AI0uymf_^rK{cihB$3p7t zQ_di!2HWBeR~rnOi0MI>tZvFT;mZIh(qw}DLY1Vie-}D}#YZeTKlKO1YNB&Ltrs4XV4EwQ%@6xrpm*k8*ilG>x0_Q=UGG6x@hHep^Gsy0zcr z!H3|iZ9Zk^#PJ%fit3vu^z9}t*8r;rm$B#Yk!w@&rnPo7u3 zo3eu8f6Vq)S>gqb8eV0t4d>!qka8bmtrcFmV<#D|;I0%%Sf8AxoKCNk(2Sfq57S#} zf{>`9L)sbE;96iLe+xP%*_OEHS@k26F8}If-=3m>_Vx(CwC*SE_{#k|*(@7%wp@1c zx8pjBd@6-I+;;e_WvBAGRsccwc7b*T5;QCoIBxbbu*@esLRcvtNsGR+^fB1HKei2!Rv!)xhD`i>X%H^j;f1Vjz?{S5Q z1@1+C7emms6B0zeZ)f_+Zbo!ar~{NosrdB8;@Vjl0hPK^PUm1H+(_Is_oc3rb_G_4 zLc2#M9-3ne@~Tef;e_F|4YHU~=0xR*&HZPC8-Qz@ee3HyS>eik#Q43Va4ckge~mpO zcgWkA13e~86NPc+tZI6An7L};n2A>tPsVmDp|TpX8kVKn zhE~!lKstoghKVz=X4YZX2T(gN!K$bFu=HRltDv-nJA=*}Q{~3)rs7rnQbb$#i~T#A zKl{&g$T#&C=L~9vLb(1xNC;25f3yNCBD|^JGGR8zM$n7djoj_^*7~YS(@4)(QaXsq z_#ptU-;Z?~^aQhK9@D3Ac*e`86~@m^rg!?M7?5z_h@_CS2@z$v?`Nwp8OsMSqm+!# zGtX&MpU)-eEgZdiEa~c}$L3Hj>1>z5J}FKPM4?I+6TaV3R~aC<4vtNT5p zug$$&Fa7CRfmD@!wC4OQf1$gue8x?ZWQj7o8(ebaQ*C=ugReW}H-5u?c~n9E*P>K9 z!g6gt^CIa<7outi=C5`UEp}=VE^fQEXokOj;i=!4QWNHydUeaYkuSclU5pNONh@fY zg|*FogC8{+A9*mV_Nku2a8-}>J)z2x17nAIGD5AIro&{=3LzLhf7L!=EM_tEzC!$> zNMO-tXdTd0e*<3fxyE{^I_r!K&coTM*rPb2#+P!JP0}nA56kjKCNOjbw^3g`NX%FK zz4(~NOzZG)|M}_y9VHlY{mX`Bq6GJld@a06KT%}?Z{?861@tR6oZ71x#W zF+>olq{1v|ELc-r>@zY(WEtB~CsWg3WA&e~O7kc5CP$9_kK$c`x>-Ok*Cl z7|k0ttf8#f$;ZlvcwmLOcTsutS8VC6Sxn6*MysSZ-ARa35@)WTj7=jTbkm%({AAgE z{9O>;Ldcv2IO#fw7C&D>HF7JN6}J^xZNSA?i&kG zrj=1Mf8!~Vg@TQ{xl`O|1%t96El%<^DX>M4D1~t${`qvnS))eXw%UxcD1ec&Ot_U`)YqbHKXFf3ElUw=d!{Z31_yjJun~jS;W6JI+#V z#@c>JcU9L8udgSvtxmy9co^4;o}@F>i~!M!$}{u?UERXBvcQ4(jP@k42d{d%q}(iC zAF3|tMqFN$N|(HNA$XGW2ibTEQE!-!e&l(Alg|gfRRaH)@JD9sbC+`lek3#zw zU11koqt9K)pjK%(rib^fSTky^!f2RJ_}jw`vjurWLK2&p2a{bAGGi1-ci{2e@+c) zIT-Hd$pLkze7^L?LJ4 z7`h9FcFI1oZ@x&FaNv)}W0yQ8fA!tB?d}i|qZ_OYPWL&Y3bJDsh7d2pA8v%{%J&`Z z%oE|HVLqJ;u8lEjzbTYCuZy4SF8IggYw1*?=QpVrF%_i-^v~cP(y{Fl8Ysf)aLZAs z*D-lPuofWj04xJBD-)kBq~d(kLJ_Gm{r>f#gpQaP%I&MgW=P?V02?Ipe+2@+5Pn8L zi{8oTC;LW2lydKNdnoW7h^K+Dpz^O>n&O$}E!(w$jC6 zk5>DgAksv*%7gqV2~J}p1&XrbIxVQR?D})^HAJMdMn7iQ_1r*p_ZO+ty`|`0!9hje z4LG5f8>N)w?en@aZ*>%%fA|ed>va5HTFz)Kn;lT>sL42Wt5Tr!gaM?_@>_LkM`>`(aHYY#ItfsP5d zVv33TcL=3*HiR*^4VzEP!+WdVM76D!8D!7D&f+SKr1W%YiLc6!fR zb3e6jaL2N14{Tl~QDNtN1>r2-nirjGKvY(Wo8OBlxZkd{%ux%s4GnWG0YHC}#*7k! zjVP^CKAPZ{?k!Kcu*Ob~fk)m;6l$$E*L1mV`)O=+}_T&d$Jq@)T z#ozkL(|2wX?l{XLf8o$rxORNIi?2XJ@u)~CYEY>bB;ng_Ah!)csZ85mXr7TEXcw{` zyT8nDV#FN&Q{WcxJQ;c29I>66?J_rSX^K!-0^w5)pjZ@Z>MER^|AZo2vkBcE!YVBf=+# zo|T4(mG$}KjyR7TDA@k6H^a#6--ekhwxa8`iJ2#K6y24~-!jk^Fst^`RYfGEmyW4V zpc*tU>6m)he|#Jc3J~8nzk|ltrWsD!EI{d#O+b=wv3TTYL(t{6bs}uTMg4d_oqU%j z|B@>SJ?Wd+b+>W{2w#DT zL(G|PduC|geevwJD^b64GFgf1Huw%BOQ!BWOM0EP(`=0!usWjU|9=SnY*unUfZJXId8~lybWm89*pTP zzo%|4bm)ryL#uo`VfPp*jpqElm+6Xtyv11>Oo4 zEXv3*;2IypR5g|#!au3yM$%srz8~1u*auU{>*XOx$TsK!LW_%BU3`kc=_;GxzA(y> ze>1Uu<3cRUrJzy9+Sg5;5=^1QlAOl*jz*0uaQT9+dX{MwY-x`ng@+(#-iD;)|7UlH zD!BX9C2bPTM#clwigU1A#aCz0AJMu!$}tFvAY0jcmhWUUK6^8jZ=mzaw%nmN#KM9D)D|MF}+tP7VME2R9oB2Nwn{tvVQH1^U~8K>$-g ztiP)Xvb6(4A%g#+NZ5jZfUqZb%n@h{0z4V4z{Vhm-BXM`!~|pucq$K2 zlT!dF+khZ{k`?|WumJu#9RMdA=ill6ivFDl4EZA%Xlx9%wgEz%!4NZmDcA}GP?lC; zgE_%i06>VzZz9lt$`1Mz4|D*6t$;>Pgg<%*0;I)M0Klga{~FNF*cNO9vtzRZTm2rA z{dbzDbC!abNI(@u3t?|2f)h3 z%K_lz;O7T_@IQUH|977EK=5CE{3}!rVhRQP&h@+Br-S-W&klddfZ?wtVFdhlG9~Df zdO-k&f5fiG!OLO%^o#TVS@M5`{QoKacb5OV*#EaBX?rWHKL`weG5$XUpf%Xa`7g?o zeC=URtDp#dS_sJhQnf&TF0dlV1Z;2pzg{^Q@M$G~#2{u?f1f4TP8#e4GIEDp|sR2{4!#{rB-)^YA?Y{z^C}#hHPve091)n;x`UgJA zn;r5m_*5JEH{^Nh^XUoy2lD~gZJtC6{a3etPn*U5ui~6f)$IOh?#XHQw95aupEAJy zaX(dqncIT?HO*5yFh}UW0-lc1{tx(HcWi8LYx^XEKQ{A80RO>%ytW{a6UZ22VHRpE zTBO0tnYSLgmN-Z^I@m-PhLN}-MM~gNk@lV%( zX{&Q*u3OcVHO@Sjtd!DwW|T$|vyYeX)6uS1FQ{j68sIXu;>2GH=G*qby{8DqZATX| zG3!yI#c`vr>Y9&sq$4bl=9l+tQTp0mQIMiQ{6awUa6=W=Xw3Tcj@^K z2TAy@MluAV2PQp5ECkzbAO--F<~Pm$TS2{U5k^0$#G{;Z(6@xa8l*_zBpaN+3sEtW zkxE06TJpY#XM-CgG-mIi{0^o5dO6UWyD+m3=Va%)(b&wX8g1hsh> z;0KB87m$J>bz;X^q)LcFvK;1ORZy?}tY>9lHXu3URoCn9iokw~Z@WA%x2=!&|j1)%HrW(ItAWGMC zS>|o=6&d`M_{LRD-Q;-W`qf;2=m#KL$#|h<)n!Op=XyKtov$%r`QZm2f@ArT={F&E z!8HS2XFuOie=zZNRi0tLJRL#}vi5ce7RomfOGq%slQIaux5oDhFL7alE2pD1%}(+m z3uTkEMIf{c!QHpIvZ|;FhZl_Qhm+Pudq1Mkyr|X2yHCrRB=3ee+R^8KK^@6h*hD8l zC5y%~v6qpk@0&_CFfN_oQl(NX^;sl$Tk|xNWf;dmB$nIty8g|e`O*m$FY!HIBHOtr zbDuFcxqQNlx!xb0`&4V2-@dK>lua1Hjdct>1>beGfBj)VfHlT)tqv@14)!KCFAV2i zUh~{8=V5xN!9Jd9Vld@@DZhH1l;%RZY~!pLbC4QyZf{=^=i-Yy>TwfG zvZ-~ktzxD|En^{b+*{0WvW$E3!%f-T=3c>!Z`j>a}g}_`qbkgS?08%xwDB!*kXsXv96S7Lyg^kSO*r8yv&)NVv==b z#KM7YalzA`KYhFyJFzqGzbfH8z#2e1ubr)>RK$ z%PKv_dgYHMl+s4ng6?1Z8fOq!bSyY0VXj{aP;|dN8sLIUtzM&V1JgEO-tMy8dKcvt z8Q-?YoD*o5z7(~8qSY5Swjx)qcp5>ZrQN97xR>9O#w4VQ1p|5`7YvU~?Q0qG7_I%< z`bIKwXYerHM)N0~&}&_7>gen@9j< z9Igg!Ko2Q@ZT78UWU$aChjcfb45GGC~K6;KX4#9mMKFQDGhN&0#Gg@NoktDPieJ*_%kGY=# z5$hh1suuL~*OO$ri;x>17`Ej01n{NUA zigD6^#ttF!V(XpwKQ0zTh$A!#6erC5n+o_ zd^%RA1|`9C1yQD!M>yM-euia%<$lRY)gxo$1I;3aZd1|I>|TOvMQ%{@hmtvzgc^v1 z6QYOd8;6>0RR5Fk&ACi@J}A~$zk#)y4rI)Kj<2R$Wl%`KlJpXOzh!NV>M|#qJKcL~ zXi?wb2$OXPZEv9dI%$qTRSBoq^VH@rppc2rVTnU~;ndCnX>53^^FuSlfht`lHz0B- z7vt`oSdlVwsbLNUtH53VF+L^^xSqj66}g0oW$YsI`CG~wc$g^JNE#|lOWCs=yO-vF z1z-ov8Jc*p&lrHy6D>ETI`(cPhaNQd$L8mh8(tZv9h>6%L>e+o018?)b2I6zcU2hn z&+9i{P>iJ0V3dTbwUV1>PY9P0&>b?OP|{+{a*dz=QqteEk(q5etEjhje|h|>^J={J zeBSj7ER!Y@tM=KW%Y3Ha+eBSNxAP5up|(YMs?h=<;V!G>Mhf==wx-MNYRl$}y~Qs9 z3Os1|^Q|5)SFb5z`_D-$ zVl#{90AK`jim!&?vrZ%)gUU-OiNk=$_DCU361Tpb8x@~WNO|f%w z>2>V$SG6WCSq%9UP%-eb-wVMN>%N(2y!8ik6Ow;3`6>5*j6k@$Vj|R*c5qGo^#0-CoPcT|n8tLEH2AK%kn2;J zpZ#sWV{i9$c?(6gJu-QRY7i>Z)G`P!g3plXB8Um==1ZTFuQeQ+cvZ2pX{iI-nLYE5 z%?0Y)Y+^Tn2%Gi@b*2^l_aXAM84vv}I8t_7ujy<5RDFGR8yvI*Y{T(?n%iX?e8VAm zW@`6~*sEHm+4vU}`8%>f&slYnT^n zyg4UX@6>%>n+Hzo+m+)GUB%6?4q|#;;?p){V0y=X8p^FmxIKZvM5$0#Y|NL?-CE`j znW>^tqlonmk&4tfxqLT&jAgJ0C7kf5p4=qaKiSqS`x21nH?zzI?ZuJ%VvF;pv55wv z#74gE>itG>PR2`S)XY0ZIYFhb$`RdleTLjs}Ah!+qRV>xF8J`h>z01eq_3ifcuh zCoNg9*a!E%2;l`S)Y!-9PGhlWUrGlT=fdO6Ys;ti^Q_tqF?ZfwB3Pntx(=Qg!PBl{ zl^T4Pxc@v)08VMsbi`?gF>{3L`k;)vshi=cVcW%A@CZ??~ zS^2QVWrX;-c&hN%{*746<{eE-iGps&yG!%dl2#w zsfLMPP7?$a6(Y}rDSzpw;f_)hzc^_Os zST*)LT~t$0o@cx6JD*y-tIXvM(g*~eHE`&hRFxswIE|;HasQ^*gpKOc%;YxHYW=7S5T}nuQ!D1}uIS~ZnDo*`Wi228`^pvKsEa5il zq7PG8ctdAQw;_|suh8r(QPB=}_KD*u>TME6?E_kr#4Xv%+Fw7^etD}jAXzw`H7a11 z3`Nz5ohvo-vj+BfK|AnJ%E&1QF&`u#WMP}T2wQfqfT(YU zhnq$?2!grZ$Fu<~`%y^JCR-zTc_znND=@CK56cbLoMugH*Tk z_~?QpBdt{{7UAL5R%8xk&_@Zm73Q51xW|T550h4Q*U7J|s~XsW`da=6oGN4QQy3&N zcCYc_sZn=ThItDhJ!johb2UX13f2{d*>u32`8*5sf#d+a-Tdw3d-t5Xx|%(I9E4r) zk&}`Cc5@DmCDunuVBQy>Fsz|bORHn477lSWp*P;E zkJN4`-3mu2R6dv)h#7IaYy9|s#UHp3x)F8)>$+6cqr&$!k2I*m!-Z(CL_P&SC%>55 z#@I(DGKtx)Szi;mGTyD<`Xomfwj-`IB;{!p3nvlsCXNptQV-!6_~nl`fT=DYj@QxC zT_DZk?pd;}F7|1>dtvBa?B@(}`D(Sw76Nae44<*SIKli?M50Sxmv~)&nvp;SCGTmh z?NzN_Ri-feZIeRL$ot!5w5l8Nd)m55wc-(t2lG_7i2aWYlWQjOS?q#{OBA9v;L)ZV zrDyf?ua-G0OUJJgm6C0%yI8@j&&C}v*DW#bUm zEs6S{q8dw!P+*u9QEWs*_!9uOsxgpi)IPT?SuAf_7p~m1b7XJv-G^;` zDK>?oeBe-cTuThEiI-uW3Ib2owQSAAD|lw3N00Rr8*^TM{FH<;(% ze7XxWulWHb!HPJ@eyA~*TyJsoPB)52h)jJ}Jo)twR(%fvgJk6gHcj!4uhn`^VPdKV z*g0o~To^hkpS*wNSId{xE{+w6*1U!nr%CoRtQ2$Wf1|1&M~BE=&^CWMN!_#|{Y4jq z)6&pSI9Fe!`=Gvm9I9r4F@(Csa z)j)#4+8_JtEH2%6uU`R^>W~$0lqb|ge71@6e^wir^|Z{Jb%h4D?RDMxiNp-Tt3;Gz zaK_N*okwMVEl8pgKhH@;lAp3H(kY7zhx6ugi z;Cdw_q!;-8?M4G`B-%JatyTlOQJ!ZDUDF#v_hL^3%%5y4c=VESD#RZ-9IifYe?4O4 zz?+Y*k|X+NwXs;q4Zq$Mk}giYLD=N9H`9hsUKeP8G(h%2Wwa7*Y(*!GU$5~tkz}yc zPf7YVv$!oO?tTA(t9`&%zh+mnNE}D3RJH*^sG+~6?DA1RCB>f4&7PZK!V_o<})eQ(+raBq4!DTJ@ct-fWX>4gTh03R5r zYYbn1pKF_ABko?0S~<8&tk(>=mPEE(W4DZ^y$9ZY*b6FRbbAvr7T3YvCHGL_$~R7S zBo;qyd0=fZIW{MuqAEzGbAq0g1K=)md*I}usMVfmU)w3XGVGY)@ebUXyq&>3b27Z8 zhMyWzM^0KvpnJ!npn^F;;Cm%SWj~DP;-7_okHXBsual9sOWgBLweYgGKEvAOm4->T z_7MS)!jN6}m1pFkI?D%H^AEA(X^LUG%1%0AuHvTG`}HI#(Gm_s%hl>8I#%cC*)v^} z+`;sHIn2jqW)cM85nU^X*}{iaA)#MCIjxFZ?A~1IuojwrzYpV*iku7W&#pz#PKJhm zKb+pcX^XT&+e`ghWRUtVP|k$2e)1xC`0!qpQoBUoFkVf6DhPRBj1t(PT(7OLXC;LG z7Qqja;3zj~5`XEPa$B%b5|F)uCfXI#`Ehwd<+9pBDMuz_KrhD4j94#U|JBcWm0mOQ zXnFlQ6dcQB?t9&v6=TeJTByg=*O4fb_;AN@Dr$g089w2m7g62GIVNO($uTQr z%3#8j5sRK|n_A+q(u4yM^EHm^3OO^uR^!U6$%VAVd~IM&DhTJ$5Ty}U0JEZ>XbmN% z=aVhR%~r;K%g-^+Y{Ki{G$2G>2y&{kE=MjI&T9x~D7VZGqKlld{VwZi!%AHnSu`3( z*g=Y5#AQ8CCY=zy2J_&t;nqxla{vQ=F%X$v>Cp(%x%KIw-J%VV>FoGWNry5%WGzjM`l8Nw^x95`wB`!}=cyZiKY?F(FFZmn z<{MQZ{$i8Dk4{4$BYT?#1F)^NM3b+m#}g13B4&;q8s`T%D;Ui@>R-J>=eIQfMeEpV zktcA`ZYw!)xZ#DCLeC+RH`^siKQFO+x(!%6xxiw0JQFgBXHDSt`Z^7vH#<+)`{6PJM>>&*q`%6uI-G`*e z8{wl#U^CqfBT^_?ZmDIp*md7sdZtqpQpQG5qnp$V#k`CdbL2^Xr7g5GJxhtce)7n7 zRYS3F;RXgRmJI24=fazF&(ySH4vM(i+8#q`;1m$t~R`h zfgQ+m%^_I(`V6jr%qLgt7Mn5E={v%IWf4b-R&G1@eZ?hfug@7mPjU}j!7sxThx_iU zSmMx9PgG1sD$gWgA4IN1QW>dc0n(~%81lzn87aFD&v%)3$?VUUM2XzGh%hB};C6!n z7mVIPxFTSbR%w{0d%8e2>H~SHZ68XMxflwduIQ5_+blu*AN$(^kP3ggj33wNqZU zI0xHI#F4>^fhcTD_}gSnyWoYm)1|Kgd7TBXI&TjGefc$%HSH91;?kL`&~ zSMl=(V)cA62bhGWvxUH>8rLC`$VPNk3MCL7HFep4=;ZQJ;;2mjYh6cHz~D`1;qjZ) z1qOPzAbOh+gq8THspclFT@`M7WnWu^(RLa99hzXQ{Hxp%ftsW_m|pG7@EEWN(bbfl zHi+e*j367vSn<)uaso>|#L=UI&W=2%wvLp8mjWiLe=GoK#|vyW?rilKFH%UXqh_8* zq!ZkKqFdJFIcz;Qacd}}ex)Cn9qSxqWSQ7;ev!9f~5nsn!pCUm;~akX~Zz+w1BZvwkq-hFdG(6bgey5kV*^LpcsB#Y@sXSc2A z&WnY`x+X2om555*J8OQ)MYQVd$(*l@_-;>sTd2^SM#MAT9jrRYrw{t{^2ovQB)SWg z4pZ1{>#TrAxe@=1qvOWIS4KHVlt3@26l=39`g(&wHXNIJPCkB`5ug)2Rex z#vaG~kVuid%f~XvFE!J06S!eF@RDiR?kV=d3SuFfib`q1G#^ut%zBn9ji}yzzK9@y z3$d%-4ExGta{Au#-U;tx71UWcG*B@xUGx$9(vYB_YJAddBA@$Yt>!%Vf{a2b*Geqf zYpQ=(!WgR^>Uckl7KOwzZ~sMLvdD%Br; zYG({7e)x{a-MGs|m@IU8V^7Oqx?D&>R)S0_lX3`<3d=?=okNDcDs~JhL6?jdyYGNx zuLb820!bVX3h-leRU6Tbk3B(1zCG!w}YgAp#@1-PwQX7H^+W0^3Lbja|6Xl;yJq`uE5@R1L@wk}_ynZx)k2+CX=UI{& zcoe#46-Bw+iH2cR0s`234t0>Z}K92x0gP^etOLw25N%T5)*`CX#l8xXkH4uHOm>y=Gv!BG-nh8f&;{Fb)?+Nt%#)nQ))HAv~IQ6Tims^$C z#Y75o&f?j4Zp8baVKfVm*oy#1L6ojm!z#)JH_w+0rw?SR^-R-nm2@nc z*C%XP-evZZlDdU|)x_rYh|s~uZ1_!v#}8?{S_E_l=(>bv6Nb+gdQSCjs!n!vM%ot6 zrlR?sNwgrfLT?os<1Rb_bH+b`g*N1lpG&L7QW` zctPzq;csQ5o8}^}s6F2otMD>g@P;bgZ%*ZWCFcHr1Ufd^uz|^v%ub(f3w4_G!6WZu zH7wZi-0VjFK)&zm##Ag#YIXFo7bTQ|N%<#Xi*P;A2EpH9!CbGLL+fwYUGhVMsISP= z^Ar_!+&QM`dY8Xp$%XY}zR$g6G(U3CFm`N|YELQ0Nb2SjF$#pRH9Ue6YwqqF?bPalMyYpv8Y2W>SlhzKlS0=2d$k>+7Ji4N9V3 zvDF8*`abs&jv?pE)}xf)p;MUA(}t^W9;z#UM#guxOm2QnAeQNd-s4-iy7l>s?VD{@ z3vz2PakBRu;e?|BRXr8h<%IK^6F6|=tzr{L> zqPYa}6XoV?Z!~S8@!3iCvj)xCCLOzf7&%K=mqp8$y$JSA<=6Sxvc|ofkD{8Nex{1I zP%%aE`NyY8=N@JaSuF))k81IIp@$CcaQ}DL6-Fuo%I>mhK2?}NDr+CQ*q_bd$`3Nr z+i$MYzWD;yh+19oc-}XBOo>PN2xYz^9r0(nu&GkorWaX%aTuAt zocwxTnmZUdACB4Iwr+h(k=##yZS>0c%8keLRoYgI1B}dCgV4X_Y~w1yAlj2f)t{m-H^7zci zaAPpdjHi4?Xo$T!?M&NG6ZbghhL4;5X*9#z`WF$sk?$BLDoy_dZ>l4IWPWDCHTWk( zK9%N6Zz){?X>@lSd>AEzQP*Z8*#-Q$no8}_w?Y0alvK5V(mITfXGMXm#9N~(<(NTzk%lA_H!fa!^hDCYUf z<>md4T3kqXeYqx*$3d8XQp_iH@p;52E`NQ9*Ap9ORH9-5DU)?Z31>MHgeSW*>QfmyB%($_h7|eo;GEa!a=yX1^l#`qLn>=Y7ri6;9_esJk*r`3U~r zXO(;O_4BTqRT3UzNv5;4{!qdFNxu?nZ-lNT(9h=?v0YycA*uNXC&LCfMBp9DaVNgV zycqQ+7gt#F)QK(WAqjuszz0&z61|RrgVUsjMmM?q58~l}9R5Tk=~Ul}vlwq44UfN{ z2J*?7P}5K_7u?V>Kg#crM7r8Md%rcit(QEm*>@m-9w;AF33(Ia0*_AxIE?#};O+Yu zJ_xt)slh2E;jU~W_2sMqeml=ENTr+#eTO4H7Q-Ym#m~`WETgbrLv2;^sOPg~N;$)? zT2{B@vWk{}V7+;LOu=#Te-q|AB7J*%K+9 zjGpczcims3{_)VMg4u6m!Hs~=!v&+!Zp%l@r#B^k6LB;HF&Sfz5c0O2PE4dgx(6fi zM0?dH+o`RBLD{e#TyRfCe!EbfXnWN33q>$Z80fRi2N9MjgQr0Ei)J9qFOJ2AU}2&) zRGOT%cH&fs6rzf@)8}{Hr=fb`>`1M) zVy+v13$?EhzFMtf&74QxllX9^coMDceWP)qe5p+}`FZW>U+LSR$LE5vKkrQY9gKTR z(z!##h!^9t!QNj#c%Yu(BiuD~zqPT94Mf@@?1C0j1#~C<_+k&VlE8j!wRG=B%u5|H z9nJ05WBz2YfNB<90FQ{KygrC4FdT=%DKL(IJv48&XNQF`n@GjZvj=;Luju`wEmk$m z=uWSC{o=U+vKkx)-Q>pUm&pz)mJDq^zl@o!cZYYv`FUhrfWKAi3vLpItpsP9|E)X~BV#qEMgw z4ewV55>s+h3e0|spqGQE@#ZzY>OWUC>JHR)@9i{VRkx6Cj+irkc&5eV zrKAfwOcf>jlp|IUS0)3YF0x3w2ZDot{&QxZmGmxK$H#@J&XvI5C7sCiNW5S9+hRm> z(N#}%O=J*1RG$sZ)vFL)l`<|@UcBRHn(oIwnrd^-M@YbXF3x`~seNwxSpj$?*#lXk5tWpB94c{NFNpb^`U*cZM9P^Cp*T1uJ7V-^Xu!$<$U$PdFTXj&(^)gF`K4x$0xI0@_ zl{y|IYemnG`riM?E{c)SanK3&8-OA8A$g_C7(W*F8xSI8Qo7X;->0f*l_RMshL_(y zKgV}?HIQYwxW?DSY#2fq>_3nQE*@h%*N)S0>XjidZBEwuFq77o$FHb=@NjTDqts}v z-5HbJ3j!j-r|zJ25%WHYjo7&5o7ZV6@p%Qd9@@vrm)eQnOhegal6NXIAUCX+{k(ppW;<0bM>0|(d&+!9MBeB~Y_lg3iX2Fo8_0K<8hr5}Xgr5l z?i)JM9h=p>@$6HS{MJ~Fr&g1d8)N(EV8WgHGff6>Je<8{9i=@_d0IY^x1)rm#%#wx zujG%E$;^p}<4GRm=UIv4=qdK>ul+Knt|vZ#jRZ-JAvSw`zyv0nqE|=p6qutUOL2>U z%#WbQkY6rQjsFK0T1_06VTB75msax&7PsLd43Hm}%pwdFw}nCseMFa0;SUwJ7l#bE zB9{S&3>LTLsSF$(m(ZyU6}J|~3_miL0mcj!w`%wdQy-UA_zV}f)E5m59+$lr4HUQZ zH4Wrmm)|uF6}Rn_4Id(x*^~_yw<5Olh)eeUnm*dqA6}Oe~4m=>2 zfbk9$x8@NKUmKUu5f2r&S}hN_RF_6A4-~g1f)BJfmlA>x6}RuY4`L>l+PV)Fw`SoF z#2lAV;SUzKK>iQ62m&@Wmm$^;D1Yr;TW=f3l782(n8#flL^FNw27&|FvgOFPIF=ka z4)Q?DW1A3OA;R+R~r(%ey3%6hY9Ri&JBmGzYhK2|hPMStH^j%IBV zPgrRcQ$=00)t+Xqv{SM2v`z@AqOLjyRe4&eNq)rbRt( zm9`d4WgAEBy0XftD$r6U_=^6smi7@9ZOO&0NF)Z@OtiEWS|l3U8coJqGL5Su6RT8} zsNHK_C0)6o2$fK|L_`zmzJD=Ir5f6!c6LiOP34UxI0zi?XnoZf+9qvOHMHMEzf?n` z5=}w-(zIF4U$k-hvX*dcs1j+Q;^#y(AzK9(X$D1oT;e`NV)R_0JvyFTd14hUu2kR( z^Mkh65W|#8w13*E(oK~ZedZMH*rzRG7VnD?R@(5ihPzqrN)RYb?0?ce@Ca%*DlmKL zV*&xCND>s#RKx+Q1@1$AZ6x+lZ(==dVoMoX!v)?gNsDswlzw?l!lewY;bWtDRuU4c zxJL7ZV0l*R87ww1Xeq%EJbz0{(!Xud@EMJx!-Q`C z{3p*`(R9aWv;FhQQA^TB4|tiyqMefPhFik-qo3x-Hg=kx;pcut244)o%(mnvOIR{I_6rg z)8x8am*iM?>whZd1nPuE{c3i0wBIhOUkQLmyH$PAepyt%WtgsJfN3ssK*vp3P(PWS zU7WKL?HPiFa(lgBAIv7F^K%|_^p#k(Uq5R9oF28WpFFJUy=pPLXzzuMOC*LYEf`P& zx)w7Epi9OSva#d~PF{?ScLCC=6(G}EKsxj90dgQF zcK~$^v40X^n#AeLVBZ$V71ztzZwh1y7;Vn==a6EOc$J$~xL?%4r5jXgf$xB4B@aqI z^#m1RMShwfLDtNYv z;eTGhTQLpk+nR<=6NaU?RycqoP9H@A$*qX;El+b=u?%TF%aGE)$uiswz&gHN3DQ^= z=C0VOX2p2$#nyk&TN6FEik|tV=#9B(qX&1)A1=;+VN-7Q^llAhT!r%69^*~*-a5(t zQizMIwc-xV^R;nW3(93tRrUF&kLR;b?|-Xbdvcf8O26?`zY=iUu0r|S)~}AX`=8I~ zhY$)WZCm~hVLMd8m~CH08wkVT{I;n)m73p;*pB2;HrtAhK-%W_2l#0W&9>#+e=1Yb z+r(|HXoe6q^~_^c!!0zwue=W1oU=>YcxQn6I2lXxI9fN+Z_oUrR$Un?!=NNh&VLi+ zFRLw$b=J}dYk4P@>in()%YY5&lOoCnYiXXk@6`m=zj;Z-K8w|CZ()pscv$aAryd#xSr_fvY2^#Mxxk& z67=JD4xEm}$N;es<|W%RO2)~|QVJ$CF3&FgP?EXxOCF>2n7o8xwLSoeCeD0AEwI!r z`5ja#1GIq-?$~c@*;Afd@?b2 zRr0#h+mu^D85MUIB1*DWNt70z*ek^n)Yq(GCAfT^N1-)f=N(9i`HO*lXX)T9)9Gy7 z_PM@%CUl_A93yQSvKEe&lz$o}p5(H8s_=Fc7r9llZi_%s2;hf2CBIA57>^c1Y~oj^ zXw%!=+yvrMAoh?O!mnQ`sBIcu*i;(iQ?Mdr!hdM#wscvtf8Xblu&gkVEYc(z@^Lp_o}l6{E)8a*um%+ZB`eP&=hSOhLe7oJvzV*w5Q zXjC`7^g*eVYnH=M`hTSRy_a;X(j+ZBv1@p-Wz9HN63gd#6k0toQsi~%H0^XZGJm`NlTaO>$mbGIaz`mWKq`FDTo#+mu62Sfm$*nv_@-FUp!kD=*OM$^*sUgq)S z7er(LG=G_O_8%L>k8D4D66wH3;gx!5bDn@x4h~xoT_8(AYCR-g+Z*+H37LhxSuH#C z4Iq+I_oCx^;JKEqi|Oo|)Wp_yfq+jI)>9++PY47e5*XY^13+ps>`VLTp$iPt=2!rnpr9)(X_kXgSGa^|e?Pc97c5S1BMy3<15zASG zn5^?7^b-q4jM5HHH%L_(&W1C+fvi7=DAJ{YOhNr|N`V(-XxNJ;uo?v^vyfH}7`Tpq z-eNJo&!K_CW7Z=Yc4t`*k+U+1@Ss6hu2@!Cv^f}L1I{ixmm-B6i`wix5yu*CXP1m! zKYzu9um{iHGI9bCEvFIS7!KDQSZWRD-8{lE$LETKNPxW_aH+3TX8KBwu0MFKsq@$P zlXC4V#rCQ}p}|2%dCedLtJjV3DLV#H@)W82LUP{X@S&7G84kn8DwhQjvUXAd#@Zmn zMw}86(k|SkNiX@{i}#I|^i1yU0^8ysqJ%c;X&WRqp-;6#;H*Fl(yd4cy9DBqFyryY zBg=xo?vlAdp$nty3M;nGN8ezu`FNxpF+^l-_yk7DDjJ+p zBYC9&y+mFYds3hYIaf*er0fMTn#fYX^AuzgIKhYzsyWfdSeKSU$|Wjd3pl4qJkfHz zF(a&=_3&XL@6>X_0DLs!-;&`Vf8^vEWy59l5yP=9aVb@04?L zIfK3wkfn&pGRs=ot7L~OTp~Oxws%`GErqoVnKL{LooFi|3mQLXXT`M_#!$b^u7XZx zN>V)wq%C%LFR=@@0eGIj52kg$e4qbZ5_-8-K!C|IH;Q_}J+uyZs+V)bGJjLh_m&<8 z%FaksC=4l{W=SeC2TPeK-Qj$f;}Cc*-MF&k`=B@|S&{O;jD<&vQd&4{GPngx`Q|Gr zR)eg&9n=U%!4k}Rq*62-PPh7DUds&=^?9b!mr!l{S(@GwgW3OFH?YoOu{ zMMl2AEx5Xj5lTK8B-K0?R=JcOJa3XqEY5~'T+S;TR?k+WOAtAFXv|6w}=A6C3A zS+aOag3!%#?Kamb^Nd9)D-Fm+OMvGRoP}c+VTV(`A4J}t?~rmYi|c;}3mrAz7HY_w z1faNtl{qms*Q169WHKkao>EdEfct`?$>Z*331|sPNszP%w=&O)mJE2&UXGP^VV$r^ zHdw-wXO>l`^BnLlg9ZR{34p6D-ynUOwF^`%?&8oO7XS!E zJn~D?K=r}1U{{r6o`?*eLB!@@uI&3~8Vtdf=!qOpPVtY9xJ z!o!I76Uc&Cu~w31gV&(tGE9=4l8Td5g`~a3wSv^h3^GdQO#N&~^g}|#d4&rcHESlF z@MZ)Ycd5(MyOc6dS;|_jLE;{zv;+hh!RdU@Wpf%{WYQ;-Q{yi8G;pb%1sAk~GiuWbZseadsk zyU4qhYiN|xBGj={raHPvRyddx?-{byzvy7av&P8OASBLjIN(d(g@A?<&4GIKcu_6i zM>R0*AupWYhRC}>DfiV`V-)qvR5{miQ+Si>I%H2!Mo4SPV}+b)IMi(yz-!cFjla-B z7-U~&>|`uq7(1g<50PXmvQ1$ulWaYNjB2uueajjeF&VN($et+65MyWT#(3ws-uL_a z?RU<7&bhDq+qup;_nF#nf(IoV?|v?bjou<~iU-;1@L|gG6SoMnu88o{n>JdyX%_t# z-IaqyHs|M}vS0`E_ZBwBb)P!ILf`YFePIVGm1WyOF9JnL0ZoUN0cE)`63HMj?D$@I zn~xE4szh7SYUkR!kV2*mL=IVXdc%j-AwN^_2bHZ}BR*6x zn~+B$ra$E}DSF>&ClXy0enYncKdd_(vO_&|J$5-R4e!N_OP2 zl0wp*I3$m^m(d+CbTs{wc6rebX^DK8uTySSROB6Y3vUzbh$qxg#$(a9`j>-`BzMxS zNW<~y&EV0GJF}HFhq-hlru?KRGxL~mstTi3;4K@h`DFhoMI$=|5*|bhV9_J9WJ!}t z5*meJbwceaCQb!XkM##q@PYW%6>hlJk(QWJu9rj!t1|*?i$f@xVbi$L`X-4s2Ae;` ztAn(Gn51ZqP|-iaJY?m5_C%*YJEwpNFHqM^w6!^W2S;!T+4-W1rBFm`q2} z`|0Oj6*87wbpX}QyvchtUu{Ar!ySnDaICO0WBc^s=ew`DDDEdg;jmQ9pYHo;TF&vK z!<=%6Ws!T4a3PgS{%Utn?Lm@@v8GsLqqln|@LWRNHz2zm*-8y5f&xAooPQd~8-iv( z`9a&zNAKUGoxZJj;W5*HC67{B~Rn)Qs7!*ijpEe3skuo+M!bz%@nR7&6FR+F_bF(a4p{lZND&-)_wFfs^IOf zwj%2}NY|avo1`?i8J+z}>}WVsdEb4<+pQ7OQ8ZzE=5A4T0AwPCtBf#VdvHj;@BgjI zXy%Dfpk-(C4(&5a#|mQkn^1GGJwzGgn#bIV^3Ik>UzF?EY|p@WbqHT{kKb)Qa@k%A zM;Ozvr9mGgZO7?+I`R`cE91K#-A5R;1lcxN6>F72f{WriEq`h)ky)`qZA%oN9hcq-l+aq$wRE-J zp?jFi34yGZQH`{PNCRIp4c3W?1J$Rnr7lYL_{vJbg4UbGaS4aN`@BQw5{6 zqOQEAB$u}pnr=*4Png|&E#vY|b09{osHYo2i3zCvK03XoRj}F5LgmeslW6~VJMT57 zM8Au2_N?vAtB9BV8QD8MuenJT11w<}6Gs_pP+1 z*fV&lTSK2tBH$;X8*@c?PWtBklNQH#?(;4?ne%~fIOs3JTukZ9Sfhos^h*5-zvqir zn%55|Ep@u2-wjD;oKt-~i6HCzm5($(Ld23thw zuOaIBd1Eyv>}DU+;s0%PNYlA^2dLYP5;$e83DXFhyn0{5N`3W9A&}?aAE~~VZzm$GjP}z zXlBB#SOL8R=i2}?6Rz2o;lMCxAgDR~E2r2oj@a%2tV}phdxnFA3n0gY({W;;s~aH8 zc(e-x^E`pyARN+-fv>#)*csd_PX>~G0Swb=b({+dusjP@QB{TFKB54j|KT_aNCatU z;yj-Kk_@BdCxAMpCvjGTH)bz5u4esglT-dJGXTV=Frud)eP4yWko}2RLfWnCkUy&n zS1U>se^{HUz0>I1#F0;EPgQ{IHV_}19MtTY4dB3Z6MT-TLQgr8@o$=w_k=qxZ&Rf7 zOya5Te@u$oxUrEB^a|Qz{faN}-adYjeD4{z+x3Sp9b;QkF&dW5m!LUP)?R$v`y5bt zl;~zti4BYImuftyDCXIlX3Z4v8Q+}bA+T^?!d(Yh5Tf}U-Glg1Ke7(|BAc~U@wrk& zjV#T@YwI9jQ1;}YF8250J~d-IZi-Q*?rBJo_}sEqTe+_1Lvtt`*|xnV>?LKAHq&}c znOL3~JJ^rIKuQ%OWLI>FS$&iw!Kc;v>Jy)x?o};q_|yHqR1YS|CoSV+eL8VrnHh!4 zJ-7>o2Q(40_c2|D&sJ1lL4{sbolvJ`9I3Ylv)pMaX@#0w`EY(S?xpE8#DR3~Pcv?= zWRH;iQal$y%&e@pZQRXN4#Th#~MB=6eA&G$&3ki==<<(UJ~h)Hf5HS)GDSSxT3jS zN#e9SXPHl|CC0kYc#PXZue}TSn|DaY+gJ4AXhd4-x=y&C&4n!#bb(&qwRJwYdok4< z6D!Gyem{8!VW{;Z;8sH1c)m#7eo~ISj;aUCa0{LqyXuxUqUS0Hmq2+0zn}GtDvmVJ zeM6rAKvRJnQl*lKc3T%=*XAhG-;ZIdc6?hLv#^NLawpf(sV_HJcsCc@*N*6~w+G2S z8A4O;)giygy1P@X&gdY`7UABr^>_InOu9wkJ1oTBJxZg{S9poZYV}mXdKac};rha0 z=kNIeDEE|U+Nq4i&5b4gJ^i(i1xJ*hY=hRH(WxMx@}NgM#v;o@pW|m}z??vFqkm`X z`%{!P;?dE*wqNq^JHFpYkcH_++@>zT15(t$H3S197)8yyY!F*dv@2LiQIic~2ewxP zD}xmoN~DhuilI~kL%~Qkh{v-@B%{mqnh~ zd~+vtyj7*AyEgQ-kFrHC(M`uJF5iI#t`L{qWhgcH5`3{vhPAf*$iw!`bxLmb(@)*! zOQU;F0;uGZFy#QZKFz$>$oD!0+X`5Nr#!&f0+{O{ar(UQ9jo&Q4p!`wHi--Wh$ml- zYfE7{kFn6-P+FeP`D*exf!*AqF@_FK}1ZSq}G!j;Dx$Bu7Z!{5SU5)BO> z+-@n=f>47%g3m^ZU9;T2QazbRKZ#PrtLJ(afwD)0f`wPSyFm`CE&TS_(@AF#SD5#k zuJMmCHdp|` zPxCuQKE6uXaQ}6a#i3u#+_Jk_0vpkMoAjKqpBio7<@TfX<_BZZp7N_ayS-e4W-gx+ z9<&HKy>^{2QClgIk`BZQRyob}uzlkAbTw&30Sv}pSrR8!xS z(NL8Zo1c@?G?GDxmxzv3x!ccss8-okAWEZol))vOmXx0!+8GrXY+`G0xD}EqLwyx% z*?iEno665^zAswB+Vb4gM3UR930!iy<&&d{JWF`StKqn5)A)Q_midaz>~lFeomfjT z6|svZ1hH+CrZi5m?PY8}XT8nGd}ZH&Rt)yq%xDu1bzyCr$KFqFkWsr4C$VR92);H^>d&T>n#eK@deEj^~92TlEZzT-u8$~8v7BiqIlFD|NDo2}u z!YzTnj5!Q4U>TnEhhxyKKHtcY$wRmL6z59`iZ26u5~lewtzrW) r>*EIjD1TRH?|;eX{zJ9^l(Ro7$lukCO%bZ31XWUF6BmbD8L|BbbGm-= diff --git a/papers/coloring_nested_tire_graphs/paper.tex b/papers/coloring_nested_tire_graphs/paper.tex index 67eb695..cce18bc 100644 --- a/papers/coloring_nested_tire_graphs/paper.tex +++ b/papers/coloring_nested_tire_graphs/paper.tex @@ -1338,6 +1338,152 @@ $4$-colouring of $G$. Therefore no proper $4$-colouring has the level-cycle three-colour restriction with respect to $S=\{7\}$. \end{example} +\subsection*{An inner-boundary refinement} + +The level-cycle restriction constrains \emph{every} simple cycle in +every level. For the tire-tree program, the cycles that actually carry +boundary state are fewer: each tire transfers colour information across +its tread between its two boundaries +(Theorem~\ref{thm:tire-chromatic-polynomial-transfer}), so it is the tire +\emph{inner boundaries} $B_{\mathrm{in}}^{(T)}$ --- not all level cycles +--- that one wishes to compress. This motivates a restriction stated +directly in the objects of the decomposition. + +\begin{definition}[Tire inner-boundary three-colour restriction] +\label{def:tire-inner-boundary-three-colour} +Let $G$ be a maximal planar graph, let $v_0 \in V(G)$ be a vertex source +on the outer face of $\Pi_G$, and let $c \colon V(G) \to \{1,2,3,4\}$ be +a proper $4$-vertex-colouring of $G$. We say $c$ has the \emph{tire +inner-boundary three-colour restriction} with respect to +$\mathcal{T}(G, \{v_0\})$ if every tire tread $T \in +\mathcal{T}(G, \{v_0\})$ satisfies +\[ + |c(V(B_{\mathrm{in}}^{(T)}))| \leq 3, +\] +i.e.\ the inner boundary of every tire omits at least one of the four +colours. (A degenerate inner boundary is a single vertex and the +condition is then vacuous.) +\end{definition} + +\begin{conjecture}[Tire inner-boundary three-colour conjecture] +\label{conj:tire-inner-boundary-three-colour} +Every maximal planar graph $G$ admits a vertex source $v_0 \in V(G)$ and +a proper $4$-vertex-colouring $c$ of $G$ such that $c$ has the tire +inner-boundary three-colour restriction with respect to +$\mathcal{T}(G, \{v_0\})$. +\end{conjecture} + +\begin{remark}[Relation to the level-cycle conjecture] +\label{rem:inner-boundary-vs-level-cycle} +For a depth-$d$ tire $T$, the inner outerplanar graph satisfies +$O^{(T)} \subseteq G[L_{d+1}]$: a depth-$d$ face has its three vertex +levels in $\{d, d+1\}$ (adjacent vertices differ by at most one level), +so the level-$(d+1)$ vertices of the tire's dual component are exactly +$V(O^{(T)})$. Since $O^{(T)}$ is outerplanar, every one of its vertices +lies on the inner-boundary walk, whence $V(B_{\mathrm{in}}^{(T)}) = +V(O^{(T)}) \subseteq L_{d+1}$ is supported on a single level, and is a +simple level cycle when $O^{(T)}$ is $2$-connected. + +Consequently the vertex-source form of +Conjecture~\ref{conj:level-cycle-three-colour} implies +Conjecture~\ref{conj:tire-inner-boundary-three-colour} on every +$2$-connected inner boundary: the witnessing colouring already makes +each such cycle omit a colour. The present conjecture is thus a +\emph{weakening}, constraining only the inner-boundary cycles of one +tire-tree decomposition rather than all level cycles of some level +source. It is no harder than the vertex-source form of +Conjecture~\ref{conj:level-cycle-three-colour}, while targeting exactly +the interface the chromatic-transfer machinery of +Theorem~\ref{thm:tire-chromatic-polynomial-transfer} runs across. +(The non-$2$-connected case --- an +inner boundary whose walk traverses a bridge or cut-vertex of $O^{(T)}$ +--- is not covered by the simple-cycle statement of +Conjecture~\ref{conj:level-cycle-three-colour} and must be argued +separately.) +\end{remark} + +\subsection*{A counterexample at $n=14$} + +Conjecture~\ref{conj:tire-inner-boundary-three-colour} is in fact +false. An exhaustive search over the triangulations enumerated by +\texttt{plantri} at $n=14$ encounters a graph $G^\star$ on $14$ vertices +and $36$ edges --- specifically, the graph at index $263993$ in the +\texttt{plantri} enumeration --- for which no vertex source admits any +witness. + +\begin{example}[Counterexample to Conjecture~\ref{conj:tire-inner-boundary-three-colour}] +\label{ex:inner-boundary-counterexample} +Let $G^\star$ be the maximal planar graph with vertex set +$\{1,2,\dots,14\}$ and edge set +\begin{align*} +E(G^\star) = \{ + & 12, 13, 14, 15, 16, 17, 18, \\ + & 23, 24, 26, 28, 29, 2\,10, \\ + & 34, 45, 46, 4\,10, 56, 67, 69, 6\,10, \\ + & 78, 79, 7\,11, 7\,12, 7\,13, \\ + & 89, 8\,12, 8\,13, 8\,14, \\ + & 9\,11, 9\,12, 9\,14, \\ + & 11\,12, 12\,13, 12\,14 +\}. +\end{align*} +The graph $G^\star$ is a $3$-connected (but not $5$-connected) planar +triangulation with degree sequence +$(7,7,7,7,7,7,6,6,3,3,3,3,3,3)$ and exactly $96$ proper $4$-vertex +colourings. For \emph{every} choice of vertex source +$v_0 \in V(G^\star)$, each of the $96$ proper $4$-colourings of +$G^\star$ has some tire whose inner boundary uses all four colours. +A planar embedding is shown in +Figure~\ref{fig:inner-boundary-counterexample}. +\end{example} + +\begin{figure}[ht] +\centering +\includegraphics[width=0.78\textwidth]{fig_inner_boundary_counterexample} +\caption{The $14$-vertex counterexample $G^\star$ to +Conjecture~\ref{conj:tire-inner-boundary-three-colour} in a planar +embedding. The six degree-$3$ vertices split into two triples, +$\{3,5,10\}$ each adjacent to a triangle in the +core $\{1,2,4,6\}$, and $\{11,13,14\}$ each adjacent to a triangle in +the core $\{7,8,9,12\}$; the two cores are joined by the edges +$17,28,69$ together with $12$.} +\label{fig:inner-boundary-counterexample} +\end{figure} + +The failure was verified by enumerating, for each of the $14$ vertex +sources, all $96$ proper $4$-colourings of $G^\star$ and computing the +inner boundary $V(B_{\mathrm{in}}^{(T)})$ of every tire $T$ as the +level-$(d+1)$ vertices of the corresponding depth-$d$ dual component +(Remark~\ref{rem:inner-boundary-vs-level-cycle}). Each source has +exactly two non-degenerate inner boundaries (size $\geq 4$), and every +proper $4$-colouring assigns all four colours to at least one of them. + +Because Conjecture~\ref{conj:tire-inner-boundary-three-colour} is a +weakening of the vertex-source form of +Conjecture~\ref{conj:level-cycle-three-colour} only \emph{on +$2$-connected inner boundaries} +(Remark~\ref{rem:inner-boundary-vs-level-cycle}), $G^\star$ need not +refute Conjecture~\ref{conj:level-cycle-three-colour}, and in fact does +not: the vertex source $v_0 = 10$ admits a proper $4$-colouring under +which every simple level cycle uses at most three colours. Combining +this with Remark~\ref{rem:inner-boundary-vs-level-cycle}, at least one +tire $T$ under $v_0 = 10$ must have an inner outerplanar graph +$O^{(T)}$ that fails to be $2$-connected --- under the witnessing +colouring, some inner boundary uses all four colours, and if its +$O^{(T)}$ were $2$-connected then by +Remark~\ref{rem:inner-boundary-vs-level-cycle} that inner boundary +would be a simple level cycle, contradicting the level-cycle witness. +The failure of +Conjecture~\ref{conj:tire-inner-boundary-three-colour} is therefore +attributable to the non-$2$-connected case left open by +Remark~\ref{rem:inner-boundary-vs-level-cycle}, not to a deeper failure +of the level-cycle statement on $G^\star$. + +\subsection*{The surviving level-cycle conjecture} + +The verification on $G^\star$ above is consistent with the broader +empirical picture for the level-cycle restriction, which we record as +the conjecture this section ultimately stands on. + \begin{conjecture}[Level-cycle three-colour conjecture] \label{conj:level-cycle-three-colour} Let $G$ be a maximal planar graph. Then there exists a level source @@ -1410,153 +1556,6 @@ source witnessing the level-cycle three-colour conjecture.} \label{tab:level-cycle-three-colour-c5-14-16} \end{table} -\subsection*{An inner-boundary refinement} - -The level-cycle restriction constrains \emph{every} simple cycle in -every level. For the tire-tree program, the cycles that actually carry -boundary state are fewer: each tire transfers colour information across -its tread between its two boundaries -(Theorem~\ref{thm:tire-chromatic-polynomial-transfer}), so it is the tire -\emph{inner boundaries} $B_{\mathrm{in}}^{(T)}$ --- not all level cycles ---- that one wishes to compress. This motivates a restriction stated -directly in the objects of the decomposition. - -\begin{definition}[Tire inner-boundary three-colour restriction] -\label{def:tire-inner-boundary-three-colour} -Let $G$ be a maximal planar graph, let $v_0 \in V(G)$ be a vertex source -on the outer face of $\Pi_G$, and let $c \colon V(G) \to \{1,2,3,4\}$ be -a proper $4$-vertex-colouring of $G$. We say $c$ has the \emph{tire -inner-boundary three-colour restriction} with respect to -$\mathcal{T}(G, \{v_0\})$ if every tire tread $T \in -\mathcal{T}(G, \{v_0\})$ satisfies -\[ - |c(V(B_{\mathrm{in}}^{(T)}))| \leq 3, -\] -i.e.\ the inner boundary of every tire omits at least one of the four -colours. (A degenerate inner boundary is a single vertex and the -condition is then vacuous.) -\end{definition} - -\begin{conjecture}[Tire inner-boundary three-colour conjecture] -\label{conj:tire-inner-boundary-three-colour} -Every maximal planar graph $G$ admits a vertex source $v_0 \in V(G)$ and -a proper $4$-vertex-colouring $c$ of $G$ such that $c$ has the tire -inner-boundary three-colour restriction with respect to -$\mathcal{T}(G, \{v_0\})$. -\end{conjecture} - -\begin{remark}[Relation to the level-cycle conjecture] -\label{rem:inner-boundary-vs-level-cycle} -For a depth-$d$ tire $T$, the inner outerplanar graph satisfies -$O^{(T)} \subseteq G[L_{d+1}]$: a depth-$d$ face has its three vertex -levels in $\{d, d+1\}$ (adjacent vertices differ by at most one level), -so the level-$(d+1)$ vertices of the tire's dual component are exactly -$V(O^{(T)})$. Since $O^{(T)}$ is outerplanar, every one of its vertices -lies on the inner-boundary walk, whence $V(B_{\mathrm{in}}^{(T)}) = -V(O^{(T)}) \subseteq L_{d+1}$ is supported on a single level, and is a -simple level cycle when $O^{(T)}$ is $2$-connected. - -Consequently the vertex-source form of -Conjecture~\ref{conj:level-cycle-three-colour} implies -Conjecture~\ref{conj:tire-inner-boundary-three-colour} on every -$2$-connected inner boundary: the witnessing colouring already makes -each such cycle omit a colour. The present conjecture is thus a -\emph{weakening}, constraining only the inner-boundary cycles of one -tire-tree decomposition rather than all level cycles of some level -source. It is no harder than the vertex-source form of -Conjecture~\ref{conj:level-cycle-three-colour}, while targeting exactly -the interface the chromatic-transfer machinery of -Theorem~\ref{thm:tire-chromatic-polynomial-transfer} runs across. -(The non-$2$-connected case --- an -inner boundary whose walk traverses a bridge or cut-vertex of $O^{(T)}$ ---- is not covered by the simple-cycle statement of -Conjecture~\ref{conj:level-cycle-three-colour} and must be argued -separately.) -\end{remark} - -\subsection*{Enumeration for the inner-boundary conjecture} - -We repeated the exhaustive search of -Conjecture~\ref{conj:level-cycle-three-colour} for the inner-boundary -restriction, testing for each triangulation whether some vertex source -$v_0$ admits a proper $4$-colouring whose tire inner boundaries each omit -a colour. For a depth-$d$ tire the inner-boundary vertex set is computed -directly as the level-$(d+1)$ vertices of the corresponding depth-$d$ -dual component, using -Remark~\ref{rem:inner-boundary-vs-level-cycle}. No counterexample -appeared on the full small-$n$ census $4 \leq n \leq 13$ -(Table~\ref{tab:inner-boundary-three-colour-counts}) or on the -$5$-connected slice $14 \leq n \leq 24$ -(Table~\ref{tab:inner-boundary-three-colour-c5}). - -\begin{table}[ht] -\centering -\small -\setlength{\tabcolsep}{4pt} -\begin{tabular}{ccc} -$n$ & triangulations & with witness \\\hline -$4$ & $1$ & $1$ \\ -$5$ & $1$ & $1$ \\ -$6$ & $2$ & $2$ \\ -$7$ & $5$ & $5$ \\ -$8$ & $14$ & $14$ \\ -$9$ & $50$ & $50$ \\ -$10$ & $233$ & $233$ \\ -$11$ & $1249$ & $1249$ \\ -$12$ & $7595$ & $7595$ \\ -$13$ & $49566$ & $49566$ \\ -\end{tabular} -\caption{Exhaustive vertex-source search for the tire inner-boundary -three-colour conjecture -(Conjecture~\ref{conj:tire-inner-boundary-three-colour}) on all -triangulation isomorphism classes with $4 \leq n \leq 13$. Every -triangulation in this range admits at least one vertex source -witnessing the conjecture.} -\label{tab:inner-boundary-three-colour-counts} -\end{table} - -\begin{table}[ht] -\centering -\small -\setlength{\tabcolsep}{4pt} -\begin{tabular}{ccc} -$n$ & $5$-connected triangulations & with witness \\\hline -$14$ & $1$ & $1$ \\ -$15$ & $1$ & $1$ \\ -$16$ & $3$ & $3$ \\ -$17$ & $4$ & $4$ \\ -$18$ & $12$ & $12$ \\ -$19$ & $23$ & $23$ \\ -$20$ & $71$ & $71$ \\ -$21$ & $187$ & $187$ \\ -$22$ & $627$ & $627$ \\ -$23$ & $1970$ & $1970$ \\ -$24$ & $6833$ & $6833$ \\ -\end{tabular} -\caption{The $5$-connected triangulations at $14 \leq n \leq 24$ -generated by \texttt{plantri -c5 -a}. All $9732$ graphs in this slice -admit a vertex source witnessing the tire inner-boundary three-colour -conjecture.} -\label{tab:inner-boundary-three-colour-c5} -\end{table} - -We also re-ran the inner-boundary check on the six dual triangulations -of the Holton--McKay graphs and found a vertex source witnessing the -conjecture for each. In four of the six cases the first source tried -already succeeded; in the remaining two, one or two vertex sources -exhausted all $4320$ proper $4$-colourings before a witnessing source -was found. - -Unlike the small-$n$ census, where the first source and colouring tried -typically already witness the restriction, the source choice is -genuinely active in the $5$-connected slice: many vertex sources fail -exhaustively before a witness is found. For instance, in the unique -$n=16$ $5$-connected triangulation two sources exhaust all proper -$4$-colourings with no compatible colouring before a third source -succeeds. This is consistent with the failure of the universal-source -form (Conjecture~\ref{conj:false-universal-level-cycle-three-colour}): -the existential quantifier over the root is doing real work. - \begin{definition}[Seam] \label{def:seam} A \emph{seam} of a maximal planar graph $G$ is a simple cycle