From a4cad730065eb930a45db71c4a0fa1c4df7a8624 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=90=D0=BB=D0=B5=D0=BA=D1=81=D0=B5=D0=B9=20=D0=A8=D0=B5?= =?UTF-8?q?=D0=BF=D0=B5=D0=BB=D0=B5=D0=B2?= Date: Thu, 4 Jan 2024 18:59:10 +0100 Subject: [PATCH] pillars --- img/pillars.jpg | Bin 0 -> 48733 bytes .../optical-atmosphere-effects/halo/22-halo.tex | 2 +- .../optical-atmosphere-effects/halo/pillars.tex | 15 ++++++++++++++- 3 files changed, 15 insertions(+), 2 deletions(-) create mode 100644 img/pillars.jpg diff --git a/img/pillars.jpg b/img/pillars.jpg new file mode 100644 index 0000000000000000000000000000000000000000..a04a61eca5fa35db88426e5a65eed6c85ee50f31 GIT binary patch literal 48733 zcmbSycUTkO*6xG=q4y}gD;N;zy#$pm5PC;?2~vY}B!HksdQm!2dR3%1Md=_#dhZ=U zdKYef=bZ0+&vXB}&s|9-`Yt~{`(Dy0{{qa55AzVuuwec-)#^c7{LC|ej!0YEa-nn#Nz$WhOJZcb_8g$bJu;ETk0Q#5wPe?9~-H)^Ks^f@leJ}U$vrmQtTGVi5JuTUd)b73m|H~Q};!NS*8d~(-+A~jG zhKXZ_()Q%{bNOn%!MnU*HI~;$1>sy7_rxsj0DxcnlSI&uL4pq%%gg~I7-m)&)Wh$O zu780HY6yLYQ-7_Ldr0WQyYCSxjYlxdem*;$9!o0JUn-33vZ3rXX#oUbPbI8=#AI&Z zoq0(g>f-hF?3>Iz%k*s5WbW^|O$YL3#@LegJRIS!g*zj5Y_tP_3MSW8nUV5?qVu}q zCAf@U(=f+(EMBsrZK$f+_bCw_Vsqvw1Yz8h*z81Y60DV{Nr~*s#b||onb$K;VE8>Z z0?D>XAj5#Iiu!x|6F26l=UCFO>Nh|@EH5~2G{fPUcRp@}#57<`A5?p*Pb0asWv32L zdL#*yn=iliUMQ=h5GxlziLBxUt-fdBRiky*^-Qx~v3dFC>zN!co`Jzu*@a#Wo>!+R z-tDj-VLgPXa|E~ru$4NxFnIloWVJZ|__#>6t%Hay6ieC?ZfI+KF4bqB`b%MSc`npT zI}h*{>ZSTY@|p2|dfnan>WmmawpcNkg^(35_@l|9BKqEvH^ie+@yc&BNGYRiG- z5th8IVSt(W1>L860}#9~qqTS8EY8!Fr}bFU4y~0@2hXsQ!P7ztN_CO=T9#lZ5Vs^j z#6yJZZjqQ8-NLObJ%^||hu=YVhc83dkkFS=bAPZSPL&=GzF^dsw z!hAXjA9hvUTw~6H5k{>DScxr=!59Zqn>nb{$(e05s&XVLfKFEgNy00i(uP`E(MB+5~~nmLin zZmmePZh;zp>$TK+vyt~iz*=#0>#YIP&|U8Dx?WCri+tgIk0P#bfXy3VymTzN!S^WN zKk)|0z5xt?kek6_n#953wjqbgWwl3SS@Ow(Mtbc4a<#B~TVKPcfWNfZXbden^6vZ< zR0!ceL+Env4l1Gp`J*xh1!ru{)28L^-|E&ATrUsa(&5f2YzLlM+qLSoKq5-Br5|aV zy|W|-+#cuo53Cx-E&56XtdDJkkBjk4nSDCOQY14VcDIdg*%{2tjB^U?DGZzqM=Z03 zi-JbgWF47QR-e!m-2mI;k^-?oBPG7I5zG5@pkHM_3R^fM>(4!}O0q5u&9Y$6>+x+r zrV z9@=|Fh6^zw7~ogFL~j>E@e33yO8t&o2U@_sXsdK`I#K`S&!#M-yVw_AysdR7NVRIY zQK$jg%it~Tss+14`0b|7ZH(-C@kcK+hNaB4`+%v*%=1m{+dSBTb^V};PSaHT*Tknm?(D(hzc63BkwR;Cd?~fpHX6Bm~fe`m9lv8JiW{!+SL;zSie>i zt};8MnV(?ECD-h>uePSt*VB5VPh;~;US>`lFQLV)LZFL+)4a)M zszvF%)0NH`dBCCccV4P^F{7Ln&68jdD=7y{^|tOV%=4L1_A878TCn*3HIzwfh25er z_YGIU?pnusB-;77`PZ`!j0g+K8obd5qa}-Xi|OKc@n}R4qE8<{(kf#_5Iqr}jnaT( z0-X^A!L1~4%UaH1R=LbwpXEG})e|h`&9AR4S|}}(TNUrTs(BmQ z0hdUfj+v3Suoz(J3qdzm8vYsm`Vd;YY4u3-t4%ht{Wh?N(*28dl`%Rxb^T}k)fMBLg=_u2NfP! zz|bve3XC0UbNKxk%QI1yN46gxj@Z2K?*``q?sr-c@IP9#AGQc=OH(&caED_o`O!Oh zp>zFjP6$cp%Szin&yS04>6$SQ5)Mqg9}4y6tza~;AMZ{NMlS$vPDOqC^UhYsW?^Bh0TGx^d0Kkk$1`=4BE zT(M<5Z(J{zJv;<5sym-pVv0C>G4Ox#`q5?>C=w1#IRChB+84T8&-vF@O z_^&e#W$mP%eSm31K&WY4emmrwX}`gg(AcLAuezfpw5ZKP#Iq6tGvrB!U-8N1pw)A+ zV2NYdzr1)&AG&8$SO{UTnwG?a_&++L&lK5Xf1qKais?Q`%KI8gJeWaaJ2|95C)Tb0w=pjsX$FtNfH|ij>~^MeyGxm`I*Lhn#BvwI2gaW z0WP-Wa>+YtxvO;g6^r|5K(S+J!4(w;Zp`a;9^}|`j4Bjt>q`ep=2RtOkwaEKZedfO zvMTsvKmznphYzK5OVR)NW6G}{ACtM&lq<4=ARr9qiuvyAN-fxJuhzThdnsT%O8UYV{R&MX1B-h8J5e^NYZB)-z%c@H zGt_z5S+K1|%dz1ivU{{tFi|W_C^JZylI#Uh_e@6pvjh$19u<%;=K)R(@b!z~kMHjv zUa?6?_jJp!a!_B!CeJNv>MR z7}=z@&B{9JZz5@CjQc=|1YW{H=P^j7H;PO72h;z$x885yEPprfsOfPQX&R>tw(>$+ zq%yy#Dx&q6#6n&t)eOC;=2g-nxH|(5A1Hgm<=WVY0K@fK_4@lo zI#~&q=kk;gGif#g^Y5$GsbBL9q3^b-qjX&@t7%l?`-#Lj9%@O)ssnL0Nz3kR0r6ZO z;dse5UjA4Dc}v0&^_0g=K=77_;M`dDCZVNHf^cTQ5aw?PI?(CujC#6yl#0WunlKkaXyIb zyj!Nky5vhTcPp+O7gKWbuhW6z3Oi#)rIl6m+MW3y@yL;z7{}{_;0zjWZMzI>8C)`G z>-J}5Ul-$J`xAd#9ZOyy2({mNcCPDL{dF<=T`~05?rDP)SPUUzn-w_PRhAA!E$1U= zJnk+gYVhmcViNA%fm33J$Es|r`J#^Rrn}M-wV=ALw$&vMS~GA?K5SBvu$&0~=R#MR zJ}wxhSxUrI2`6`=tL^bCB!*79ldD|xS6hv;udrNnAkT>`)5=xu1izDf87cNZ{GSC-t0c@-fo_IZj37A_*c01zbV4ycYTIx|lJ6?ABbbej zqK;BR#iB2`c~$p`F-sX~?NLx`iY=ZbBSczJNFxZ26BWEiHU$XD?IUbFU>lq8TQ7@e zm8Vkery2vYMjvJ}W$dt4fj%%*CZ<)^MYM1mC>~_Qj0)FT4-=yA&`3%Z-7>O`fl+xV zmhi!{n}jexS~-=koj24#oQBjOHlBhq0EkzHIkj{Ijyz&1*1ybPM&M(Y)4oK7qUMTn z2ZTPd_t1_ zFvKt@N|#^7;4pr8 zQ;)M8&eG3|7t6h=@K{Knv^SO3mEU7ml(OD_RlS(KaT1PLCyPp^sY1i#B^9Cu5i}WjC_z1pN|-ATW;a zo{dFLRezp$zcY}A`ISt{(0?xBDB~d%@h2lt{|%W-44)Q$G`$$08#(qu8~MvjG*npODuT;qx z^>fhj4~J)DTzruOc@W;~x-q z{fAPZkZrfxS%5G2++A3cRB?wAazs_`@f z5A_`7ip8Tv|!FJ77On_mm>!ZgC|Z3O;ljB#kQOg zvtuP{!j9|+0%tYyh@B?|-47UKNy@lWn4kZF)4U@cD{SOl7mZ=K?FltT;797WE3JJx z{Wh@v#9NmV8Q$~uvh@ImCI%rlBdbBFpiM)=TY3q^SA13jUE&Eb<%+bU_xA& zI;e`G=@&C){p4lLK*EFj{!*gAAR>4%EuEvDW$UxlrdBs|0D@q{k4Kb)Y+9Asw>Zlk zesrAtE&P0tFj~$G49#vHKWV^$^;2 z;7M7OE#`B=Ej9^c1UqW1T*WCj;}DJ~KOEm@VHu#?Zs&8AGoLnSW+K$m4(LUFsR6c) z0N3y6qOl*#vY4;@8BvLFIz?_TA-#?jbf(<)L()4^0!o%l#|>tb2hvh7UO=!HuWz*8tn_VmKLCtHM^sYXhu*c|q^uE5!p0n-Fo> z&&%6}W!{_V43^2YEb)>(E4DZc>SktpWtm~XA8m6 z31Zy)m=7>^i#C*nTzgzBmz3N#tC`<9{vIzF&&U$AY2rrc3mU6gdug=;&Nl5y)dz&m z5rp0?%u&aG`Gi#_yEZc%s`AJa4AlDU)uShD(D!=1jj8zLW?$izR?$3X9!1f8kEH{F zc%*Ef*xUfE;d<$6dlCjF?Acg+1io+-pmG=M4Aml+R<&c$i{q2Gx9ydn1I#t3c%D1< zqUiB?^E~KXcMR@Cs4bTPig%VS4DJbZb1#)wsfAIRMqs1$1-G2Q_sZ?$l;F6$hYZPR zvOmtV=eGY?G(__f#7C+XPVr3n#OtXh(!MJmU|MFlD#W`L%itiJ_OdHe_4{$3`Y)-4 ztYq+y^;ImS05yBNUB9*vbrn(=m~#~L@V5kHj_6LyK_ku zL_I*3CdeG>sbVuei2`eW>dRu8;={)!4&s-c7}qOy+jm`P@0k_*U)5LOOosY+schJw<^Q35U>-ig9Iu<-_0XhP31v``ya zfu!g@(+R#|UCl0mYEAF-9|Yk;rL3ll(Fhf8!UaQ22WY((%KL^=F%1|n9`%R9a#%BP zXUs|#o)QD}6s!G<2({S__6a3#0EM0c4NI^i2I!r>J42CKp$ANqSvwRAiz!UPmxt$X zfHF9JDE$%Cf!kjGV~s95QPE>7Dmq-;nig+o6@v_^T>NTDfXuaJ6I{zRu3xairCE?b zzs7U-q_y%+*X;KY%-45Aj&hzxx5kvEc);6mI^8jTd!?r_)GeK24t(~ChsvHtU$mhDlC7*-P-O zn@1E_A@ie-?awz(jpf2i`|9A)yfwxD(z;;~{|&>7Gs67H_BYdwX$fMs^z_@NI*)V7 z_6Pt)XykA=G>;{-;i|9e7|Kr_dPu>iF8UCgRRuyQxiCSaeL?eMrJS9abC$3ppH%z@ zruER0TN}90fM~Qqx$X+4!_w+*36MThM$OKR!4w*4t$f1dz-b%>K zai2Fy50lOPCsZqmaC#l*etP$%TK=QcyX8L$Z}SUlx=cN){}BqO{4#9LIC6{f)aR&d z+l-&xbFS)ZZ)FAoa{GR6sGth?d<@!N#KYwO>B+lEdvhA;aRpCDx}f0S0SHLC`R2S3 zOnQvJ!N-W(b7cJE&(GkVY~*_RJK8wx1rBU&fWzu4j9a*0JkPver`K~-zU8zK5C1b) z!4oP$)rtX@Ejj6SEL}K_bGdgdoBx(HxOmU_M6G>vv3uGiJqQ8aDdL4&A`2!~_?7tv zvt}ttuZpAMDHqvHfyJyIW!cz#SfcYzcDmTq6U?g^0-gBq2M|$EdvC$#XJC`zO$s>R z&}jbIJ;ee0UaEx|0l}YAW?Ju4zHozpG23|&D+6rm`L46?-EaY`PSq9pL~(*?oZxND zZ^mhGBBD7hVg{!p*;r}wH}%lc$p+8k@_yA1a1TLEU2n~A0=OKm3!cpABV@aFp7%lV zE-27I>b?6c9jITdW=>N-&^7}zA4fGQx7Enr{mkdD6F4hjFtN`tVSs+e>}O-W80d9q zVi%Uee@Cs$E&2AuzrblpP@7P@(rPs>O*qzwZ~SxxX{ZIG@3{e}mr9G3rPBbka_+Li z`eBjb9j$_y3Hv+(0&Ew(Gw)SnZz%fou0e`{*6Av{vC$Q^X$RAX! zdeeKM_+k2Te>RU9$)e=R$|z4b3&~u>0!a7ma>h|9fv#dFvYM)esY4U+Cibt|z z#TJ~l{*K|1-2v?2o&r0=5?WgIPe$-hPgCkSk%eW<+5)6#8CrsDVZ~We7E?~ta-LJW zXCvU@Lc#p^*L>P!_3O->JixiMxD)DiR|{=ZY&O;S899k*_r*iO$zuP6$syOYJTbK_ z#S5+%$M^3of?GQ`C-&ad4X0ftIx#uDJ^9j%o6`#{K?X#WZ1QfJx16wdk;%q zqHhBX@LU+Cnf*DBROPu_W@?iBqi(&-wLGoGY5@V^@T4cv&kk5G*JIyVYTWL{-v}7z z^L0OjD#BTV{Ro92^40x4fNca9X4l=ypnEfI)y>-K`}=qdu(}IkfbogG!hiS2f_d!x z4$d1J1wNb!h10WI5={{(@jGazsxDRK)_C|7XTcgxpU|!i;L^Qnk1~J4FAVK}zRnfs(nMdCW&8YW2%}snO<9zB=%y%}!u+m1m-Wem-$=G7B`GPu*=Bl*44++fni z*G3JB=%}b+zH~r~Fu#`y=(B3^E;}&>W>kx5lgT4+NHz*gp(;j(`H9Mc{Vt`%AC-vL zcie_UEx8)+hrtqyS7Jt;eiC)BjG9=OWgrL~4_;{xmDD{N%rJO||96xvT6yc72~7tw zPMSWzyyE!>l3358|H4RsoAG!CIN36$DwaYUm;9?dDk0`9vG>Q4pXF(VkCi@O8N-{Y zTkzB?{XMHj2dWI+{MTeO!83xekMyEoM>uHMOQ_u!AFKYp_vvESg`t*q&h0kp**WDM1yZ?ciS7KlC`rkLCel3&iY1gNZtu z5i}hyq0{by_m6In(mi8t6cH9p%moa)E;B!r} zmT5AeGja{JH^;@i@{$NZ2vf0o2NZ6Vbp!MlAV`4#1m4HUXA}fZ%IKH?3Rn{|JPu{J zv_ho`7{8&*pq?u4WL=W0FXTGtWZ9b1px?m&Rnq%o<(-U0Eq@GX{j94s48w>$!-R0T zd%-p-mJ&C5gdl5j8uoXG%A(Q8N9IOcw)VA$AG6_3QFKLP25VS-ouwQ$e5m%>t~Gt9 zDX@KCTwGq~Z0t7`A1`>Qew#1C`XC(hyK0fYZi*LgMEq?n2P#Vr_B-IkDwzsljjK&+ zdNSL4^>Gd79_CL=IJmv`tx`uB*fdLXEqo{p8=BI{$byu+SpH~RRbvkvglOkF|FoT1 zPVgM4MQ+>xU!F3>$S0$ehEpQGL#~d?XGMMWdub0zfCCFXEf~q3(8PH5{A1{e0$6O9 zaV}%~J>OJQx?UB>+Xv>j6*3TCJw0VVJnFRkVW87wXkP%`*fvj(B4_2a=3^-!`v+Rm z)~4VS*J0sRO3odh@Z<7di^R#)%k$7opI60&3K4+Eso=7V5nF`KY^T5sZ274C$IgT! zv}f*(h1T+X1(qVfMaqPTA2ew^tU7RvCGk?U(;8wZff@fk zwY9!N9>p(%qIHt#?3m->47!~Zk6`PYCY7o5i;{S?%*7c5#hS42xO%RClCFp1UKA?T zj!i}^KG)BO)I=k`(54lxIohb>a9FQg+1ND%YEic9<%K#H8&U%&PYDf_8Ms)-csPMG z6Gl(%;?GB=c5ZV$uz*)MCidzJ1OmhgaV0#h(xo|XO&(^w{J=Iq2U`DxPx>QcREkr{ zEw#^A#L26pO;)p$VY+kOAa|&Sy!0jQ7CGSIhRKa?tk4N7JGF(*E9I0%SC!9~DWN`e zv)!)_h6DhM^y+?Ks7X9};2b*n^}UCx!F0Q>tI#R*j^7cMLRnSk{d}3xfnkG*_bShw zmOjJlpKmXhaB=zI$N2JJkVBFPEo zow%lI1Y~{<%})Ty7`}dXEZL{D{#be)S7vz(fe~X#!CcMSOmN&b-IklA> z>wxBG=LSU1MoMTaLE$=YCdgL68^{&yd+WG505^5liydudJAG>lH3y#kB9(t?=T)2@ zfjVEy`T*nF>8 z9&3DIVw-E0q-mB~}0f9#O8z*xf3@d{Kyj2k|=nVU_vAZdRmM*`%cL?l(eEhhuW^Fdp%hOI)a!yEs*l*PFrpK%ukj0%a$f8KmXf<}*r#R}I4$?u z8fS`xj5Raq)RGYK%r&heY;qS)u@t5kV?u|Hv19e=DP{VLZ??@$U(RH(X7|_i_C}K9 zighX;u2d`qz-hacxe6&|QdV$-Ub&mZ^U_oShkj`rG>tKrPMk1-uARj<-|RdUv9?@s zORi+bI%W&{q-j+t%Gt{Ik(2-J5r7qUAbhz!6ym6mlB4WaG z_0uYxMeI|Q`){Ma#AMuiCXx!7x()k|Z`=>p`nXe<*SN<>w;o*a#pdZVmM(w5VKd8w z5L$^_+jk)q?eh2eIwfpZW0WC{U=#AP*-xPK`9$4<*Y2tusTTohz&tDIxGBweW#=s! z20|BY?X#!F7G{|bHIk^oG29ky7gibLw5&ORyYS;Xmo%f?4Oz?05|ma>;9>qIhQ$&Y z^u_Ejzr~N$iEDEs=RoJZVpl=u3->8bgz}nkHN;rl-E%Uro$ z+B1~V4X}8(5qDVZpK9$2LGLF;%;&p7VOk1|{q#J*P<%KBm@vx@8Ox=OKLmH?*?m+n zw<+zw(M6UPV-@wvdTobUlhxpm)e_#W931?0cChVUOF!vadL}U^`m4_<@Nw!XZI~0- zT0p|pegnBRvm;|XW+xbd$jYkrw0ixSdkOuZbjy#h^!|4pbciXo;^8;%(WpmgpLJ2t zbGNP?Lz=VDgBT_K7_!(n!ZPL52L6w<$1YnPf&iVKPvUSIx2ax6q2}qisfF_9~niA0HM<_r!Ca z1$pJ*CA7k39&d?hQ2J8-7{^HgEn(9&Yan=T&A8RSM*x+q`OOk`_23@22x`ZI?L?Lz zMA3ItLhYo(sxPsMOB@7e`llqu{;1ul=F@ma&FrSafpRWb3 z37A*zN9MS7{_eN!`hL)&6N`lkZ<}WR{OasD=Rcc4t45f${(7l%(G;=aI}|WT7^vp& z;j8u2b4$}aY_jW4>{7s3lRR6z@+P0debUtqQZ{v>G4 ztBui5O>;l@*CFMSbE&kS!YW$5z(N+!Af9Kh33WQpnN1MV!9 zyx{2NS$R>z89@m0{C2x7KTd^6m;2GvFOt`8FQTQG(~j?3iZnuh%zbalY|R7wwXk8i(+;%k52szV^Q2hy{xk*>`^)iM^Ucby8Z>;Y z!7Lg!$^)n=wCuri51&ux&}?olHmUE>jlO&n$E@IJ!$h?&TB;EFD$rVKy=>GdaSp$F zge>FHr1!?2&+=aBxhPs{`4CGf6LMc(cS5qXNcPJM4O6Jp>i>&)X%??y8g4$v1TIBiiVN?tGmD;YC&GX?b9X)k44{|H@4m1k*6 zf~)H3PYU}JDDM=4lTboZGm3>M&#n2?^5m)_U&jo+Z(pY8aB*BI!7jUp3 znnirE-U_KS>~JKua|7(XrO`jzVK}+~`hr~C^HhK3 z(&($1pRQVg;GH)%eqG!~k8S{xbJq#}nrCXA$^!?Ypu@s1naX4I?dtCmOUSaSk9NMb z){WC-3fRa&$9WF>%$`Dwr@J__wHw}!6G&aD4?_A3r|f?g1BN^kA;%?(-eyVoP3~uy z3(Y1W?9|6@{@cYNlip89%8Xw<+{=iv)Ntu^*d2$396_;^sbfP6K}EOZoAfsx*x(Zl z-T=}UmYR^(O~FU`%4h2mwCW*pScinAsUJjXGAukA%qt=c!V0o$Xn9YK^gJdelHfj9 zlg*3crL`d`X13iNwoS|Pd}Kg#>9xU!VcP)?n`&p0OFPUi*Z7M&GdpH-kIi5nPYkCa zi}7$av8glK&Qm`@XWuWO{Xt)Dv*}rA#qPB(MPC-y4Cb@%H(1_|MTI_n9Gug+U3sa} zW}4L1^jmcV9P35kY&w@ZV*b?J9HQ6K&=iCt>Y2w8;JnX49dxb-!$*tGm`at*tM1msYUTPl&`$Uuo}%QtxdkRBUPw?Rk9KcF1DRm8&b| z#8Fq7RXX}xLo9o?4;NbxS{9}GH|6@C#o_ID3$|D*sf$pHlk`jOE91s^Tk$Uik^*`* zlsQ6c4ZRQE-T=3sGhBBTxo9{sqt%loPYt4M74~48cSny(CJ|>P?E#}J_4uzHoQ7js zzyn{Mz~nc8Z3v_DmXX2evu7*x=iC|LXN#)k`Qs-pXZ{~I&-dNmaJZoBLj3bKuHf z^3nwS!msf6$lEIV3eIAm9GE9Z^?&JYiq$L?cKH<~b}4JB{vpxwGj+@(Q)i048z5NX z?9j5n^HQ-Uu4hWW;R(lWkV6m-m3WjL{4RKsJU-^%bT zE6^1cV|U{j-;#^5Njki?PD^WLMuqKk;GjJ6PwO{=s-2GhUgLOkSKT4$;tL!oKMdSX zw0e5UNUTdc9JFh;rMv}p8u_tGP33yO#DMYi}#_`%isVJnr9G2!%-C_c6}G=B;lf^iPEQ zr?nA8oh$cjniBnFVzh&@l0Z9SS)lqEifpGuN+YXp`9{#e$t%JAJG~6I#)haj+;X0- z9WS2Lic~Pz4m?|H*b!gig!>KieEro21ZHLLbxk)!tLP8kA9#ML8h6bBHY)K8X=#ww zDq$_4JKJHDWINk~E|`if(bmH)h0sEls|(X@5{hao`*1e%vj?iRUur2?)##bWbBvf4 z?~>b;&4Z82d(b4jAJHT(fPT1EE)S5c4(!FgF{G{{Lj>j0KBe_5(C+;bBPX~0=MU?{ z%17_6cY-{ZNZGP} zpYOm~9RnS!JX9phUziEiMaA|srk4r(*wjhM9^I{289b&rHy)7Bp#!yAIRDxe4h}G+ zoAOp!lf16pbYHYE>3{4xuxirzUAk&sUG6r!ugnumJ{>!a|9$x_7V$_;H~S5+p$}R;%vD)a@AkHM2_ z&`>Oe*vBX`VKM^~8|I{`RMzThvEGdXdg+B7HgQ#k z%^FVKS1Mu$wUqXNB_f3y{tk+4>eeK3Y(+6`A~G3+_CAddi-OcO3ZF(obv1IQBg!a$ z2Nn^NGBJmIagv7anV<8pE}@0`Itf2qYJb}_b6(t0oFI(4Hn6>>emj4@5&{EmhKp#v z&KxG1p6pd{tqzP8PJh2`9y?aOV4Mu+xc-P1)t&5M<2#Er9Sj?D)>2bED)y{V=Hl6B zC{Z7xh#o^rJUi<0b&D&KUu&rI-nsL62w!g=f2q!Rmj^7RE1&Gf)SE%a-)@z}r{>sJ*Wr2| z%(u&Pez9^rRmxfh#zrjV_umSPH(4pnOLZ<Si+wh60cS@_{7(YoR7Q@Mpo zt1AT)-U_KjMs4Cvf9A|aGK|toZdv^7+$;H9)=0t7eFNY~teZk-SzMu~@G_dZP$%Nb822og zX+S^Rg9NNv4Su2?QRC*D|BKu|UTd5sRg4KD{%p0(v#o)#l|#L^TaATc@}I046s&AXBTSwxYu7J#Lc*bi>1 zyo>+(?Et^$Q+XFw@^pP0>xR(&07AJJ8AgK_^HD(@PI=GoICLmKbi5ePp1smKld~gB zyv_Fe{E5){KActH1|SgQ!y3=Ari3_7pK=qgIVj8!L0DHy#_wOt1kpwG2st%t zaCDv-9>4EYcu6CP8P<6#=K)c8=LBx~wwU&u!8qCZDVL-G`r2gMs7%3ryYlBJQOWf? zzixn(_FxhBeeK1+3w>DyRBqF)_x>7wDVKlX_i)OVd8)d^r(-uH8SvB3{<1T?_^~M# zu==C4z6T}Ct`skDXe_(M^zQV1FAgGT1|B_S2*SSsUR* zStH*PX?IZDhb*>F(uBCDpt=l`$gaIXhmKc#pI&{FnH$#2!#q zg0emszpyeIzC9Y{qt=-<_O(C2A7-&XHxYwOhVfhlQ~V)0CZEgA?aDZUb} zr|1Y~!GRpll#mUsi}5VvQ}QYU4u?myA+_rv`(j653-;3uqO~Xge5B`DB~Tj}#2jwV zN6T~8ao&CZbDd$LP9cUD+_L+E&Pmwg3G>nHn&UCFe>RA^lHYX5_`MuJ5fTqQ!vCtU z|9pCF658yAy#dr;`_*;qhLS_PXd!i67rJg=ZUD!B z$a(s;jI2?yDK+IGjqy4mcFy1CanJN-q#t7h4mXWAX9oRsNsUqFhnQAzCpuv%`blRC zV&?LzIloC>)0%UeMN;_vF{M_`DObH1gm^+1UKCR<8%DG}^Q^L+Fk&F@c>u8Wm*)*r zcOrr9oLd{ZtFCMqLFG?fYrR}`T>_dLgFEi3V>Z)0WUpVrEsG9w65+AAcD`?OTK zLNPffD_mSq&bijja~yxQxl+&V`(lLw%?Y8!w1TOQ&nt)%AzCyiX@&6FXmYBD@^0YT z7tN{gQ+UDKs_A&#|E^Bn2puv9GFGyDOx!*eQ)h}3iVJ}aMJ~}sFH7MHiu;OqpJwsb z>&5)o7vXFXD$F(HaXktmhVL}!`kC!65%`#>9^s~wcJ&Ii82$B4Jrz$k0MGr(r?k_b zW*y~*E4ey5bAWxJ_WVn-G6oU#wctB`7b7L8XIipftANkb&KnXH-O$1^n#_3cx!(OG zwKgY;06@t_g=NIgmKYBW%heTPyT?8{GQ9c%126GV@jZ=tyq*>E_xXqP(1?SI>@q+% zT=~Jzm&@Cj;o8BSNMDKZ>}~bpcGY(ZorGn%Z|U#gT)qRjz^KCLUWoKJ@|?T)d}#w3 z&C%l@j!G(!7NJ}?MuDHJ`)elEmJ36S^Z3qYY(RIoS*F&n1U}sd)P1ZkbOsKwPzI3QO%-}>I(S7@1~pD$pb^-}7c z;)T&Y$|y1~UQbbRLxP~4o}T3bt{{$+X> z65D90lzTR=GJ)r&vx!#7^9}Hg`RzI#r0XT^C<;0{30>kl;!9|cb)1bIYA#V4A>Vkw z(aN^i@3J(l@Ww0!#Lgh+-D`vqOQdbc5C-hij@rxZ=ZxYGBD+KZ^Bvg%FZ-e zSUCtRZ4$hHx`||WG!^Ln&Gs%?%#^-Zh*|vjD7%y02vivKV$@3eEZKB&x)#w3-2d(6 z(ix<&KfJ`6-_~2C5#BK>bNc|n3*IbIm~0?V-+fS?!`e&4)+_q-y1#)=ZM8SBCu+^$ z$u&KD+8M;~?A5YHJ*ire77=~NiNaXZj~k$!^-jVq{<$B-tzXVcEy4qg)?7AUJJgqfX81#hW+g1UY=6aF{nint>g4ORtKzGb2p?8Wsi^?6cqudl1g2VxD@ zZUB`!cm61-J=-Ty&`EU5Q248?mM(>6Qb0i@24)tl@86Cq@tmLnr^}MVeqIjx zt!y@$Enibe*0!*GyduF0_4hX;aCt&`+gW_WX1KlmtCqZt>a{`kgBVU-?WqpMPL77` zA743Y_l;t?Z-7`|e>GfT@>=XpfAz8tXqU@MvAdOb0Ow)Mo}L{y^$i4-4D59nU(1f! z&52_iSY1z3K;1tBJuk*PzieCHZ+NDRUXRakJQO9CH52(ly!6CY(w-+@>;%jGkXZ|%d85Lh!%Y*%tU^o6;#w?treV!}2$u?G9`%Ke2rR#Qrsy2HTiQ^t_ zhD7&Qg<_gCtB$0^!hMStc3v_|Fxx8hH}RkKwkEQ~_eKRIhM$j`G+9`?b16rp$B2_p zb~XcnYEADw;p!{PGQ|>2_Q9VxD~>-w-gZ#UN+~qQ4u>hok34womj6i92n_QxJV%`k zLTdU@+$#JC9QFCr$?}dRn?kg^RlI)EvtvBP>{XR39wW9Hw$lk*b!l{6S4nYLOfZ?; z@G<{{*b8p$#+W1!>@zzB@`oS`DF4&DoP6i4UtyA>AS92KuPrA1C(l=ixq)9xe4Xb} z(bY@lT{@7oCQbPeO0RTL=0$38FG)z?LCHOudjJA|TeK{!I0W{&OeEO3gysmy2pm1L zhD@QU4ZgR=!4PknN+aEHdokQ^?l4^TR71vyl2+7q%iTcdoi8AR73%e`7on^mv zR}!>5;=(LQc{s<~tlIEhFh&7D1{_?tyg|aqrvPDWW?dmy(Bj{FX}9g|1VgjhjhJ)? zhB@C7n1=rVnlME@z|;n_uS%jc^fe&zb@}(uvMEXSSQSl*@e%+3S`4)$6b9#e?s}xK zOKN#@y=FRK*9iHP0UfZY5{Izqhj781yLGWC^B8=o%E~^%>$a};5IM7J3z-+X!T`%J z|Bxs#$f5KCG`9~2Ef#ciz}F;C-8*0Ow~EkLJRbbJ{K{&RxSfLbrpVXN@dVxH7-21; zGZ^QLQC6@%BS~Zd<}Q*PQ}wue#<6nCT~u$J?)|mr&6ZB}Dzq|>HPsUb*1y)%C%UmrI4H#rpE}CC4z`CHnT3>Zoa+gg_P z+vTUlYQ?;(yp|Uj?>}G_Aj(fKsBz7zwLxO<6SBp(c=ke4xl*4K6oR}h$=6*#FQ#dr zR+fYkoyi0JuYdO<*%X;XVow3ET9mC~$S4+b~qpzDO? z8(h#S7ZcQN(7o+DYlEGdjwY5>u5S{DX!H&7Sg?E?T zH>s(8FWnS`)ag-_zQ+ppe4VE^B?cm$Hw8ABoG0I1#}K<&_Mk)lp9rasthbXO-=9Sj zbGp>tAG*vaRiy_GopVv8~L%aE* za@7JGeCWYxugkm6S6R81%#DXRO&8#8ofog=qvfdYTbSZbTP6$fh5}`5qj#e@7%ZpS z)-ni#F3ZamT9oZ>CDqt8F4T#!oiCd5bzgf(YJt<6;pId;0pPZbWH&A364EZJOak96 z>@dBKSk8@^lNdyEFg_jp4i2)-Xtl4tHSesk?QUyS9*hlsS{8;lHhRIG_7p_(U(!#0$#wMmQV6?Q;$ zh?^w_=17RqEo4g0ftEr~4X#|+=jv%mzV(7-L6h;e-w8pH59>}0we3+Z>TEAK;cW+6 zPbd|~(I4kU8bEQUA2rXuVvlrRQLD(68B8ZIU3lLNm5+x;@+#W=_yH>^5Dsd4e1s>N z0@xf_ZfT>=_6ybZ*F}DUo8m^xaY`YaI8joZr%=~l<&=)58r?fIZU#}Xu>LD}Q+yN- zn#VeGG7RL(R&a$W2HJ(2v8=+iJtceBez~x5$i2d%AT%vnrdB><|0KXwrwC}J&7Jp9 zOJn=Sz$~`eDe5gL{PsCZG%0>bI+wqp1v7~A(j=jrA@|$a$C6L~Ku3T5w?4Iwa>K2g zuI9YYkOcv(*HQtq7~zJRlsQzQoZT^>u_ZD=&9{bpXLwJPSjOzf`8vAX!{?qMNnhJ6 zy*UhLRn!|rT;o@WDDmzjo|q+U0W1xS`%yD&jl}6WYVv#Hjz`Z?8t5<2fB-xA=aWVp zzTe+ZtqZNOH$_D_W5rcgaJgT<6Hs85;yHsr7X_rw|Sn>>}NgvagaXMuF@l(a1k6K_F=n{RQ z06NcJ{8o#^%1Hh#Z6`FB?ix)kx`U%-Z!c{T=*qPyj<_B$@j zdKiV!5z?_*K^&e?%z-{~cLE>HVn{bYP6N+@Z|m@}QU~#mOMi^1K9P;~Fv;RzcLJdX zv;?kc#m-yf$1CqQeRcO+OZP&3xuxN;m1$kjSw4^|0@4`CZ#oL!pyPQ>(w}A@t z6y8dDcXTKpCrXwCY8qPquoN(WtSYr*Xn=6{+IIwqSIf~4W)na_@uwE59f-tTjyLg5 z65Uf@i`TD{QFYV13e{`|sbY0AhY+&VOqE6l+V^D~%}G12(W^bzt1&RJU-i!fc@1c3 z=1O9)uQuc@B|~O}LXXv6S1bkiJ3I-|>_!yF%e;C&M|$8c4Ntc#Rd-QhlY}L$ z;O-)Nbx+fk34g(bU$Wj8>Y2#AC*1&2Ck2i#AC9QniMMd%AD{`MBq;;-+OqK@BEPGn zT{qMo&j$7oJC}#OCZ=%^kr2C-mK|8q+$eA+K}sw+1@QulbPJNQ`$wy--?&%CIkNj= z)2mzxZ~%#Ds>82$rpJn*)aJ{P7cvQzI0qdk81fJee1RX`uKIg3%5Vj#(dxWPvPEYT zD0Jkyn)9x>LgoAZbvEU_-*H1#QF17X#eyWgLHd zSYg}g%_3UMs%Ef)6hKbX`Ia}Q;ni=E{+%!W_owYth?g%W=?827AB186I2@LDs4Re1 zqWs$^Az~^05p}RyIYrNu6)fOS9M-KVgWRI|am(mCOzO*g{GWhIzO+5}W$|x5T$i&t zUXM@~!<L)+YjLw_z(;S6H%##QROnO6DnD)2)_?G^@$)=K}1_Y!4KXS}=i{{z`r z{YO%idWg|t5{|T|m4B@m?C?y)LjIPj1w{vWDO442N2uRczE3-DSx0jQ35$HOrn^=O zW!bYjZ2c8_7R%@t#IEmjJ(Q+icFf_N5X`DnjAt=F*hMCZV`%M=b300Rj|(%uD!1KU zv>M8<{pjt4G~f7rX_Y5|LaQNYHt;6zx%D@Y=SOS$JzTj?9#lp5W6$Z_A{rm1)E248}2}_LEl8y?5{nKW5sN=y0&A zK7M$GoZey{=vY@l=^KAfaaS_11i$$kJt4y@BkI`@8N{*r3s-~-{Mu6nQ{;2kI+lBw zY7l>ut`kHS1HYh4h!kI0+=8zK=2udPf3<#l`8>(bO&*MYGL6w{?BYpo^*eh3;7nS< zp?8eEhm&Rm{+@}S|AA&C#Cb!YSVUJQYD0dm!~5D=wAD|0JARRY=LJ7ikm60^vhO~% z)L%>WaDJm`#-ih=A{ckR2cnL=xeRfy%;GL=Bg_?7R+at^HJCj4ZrjG(e~cy1+ar(O z)7Sdx^KF}W;RCDYdY0%-lG5RS%XQWXPYk_9^fc(SW$tI)foLgS*swumlEPZjfl0)RoZU&tE zb+8?v1CIqqGY#6tGX(d~?DVR?yLrAihS{b{;K4S0t+b{;75Wl2>j*&uL|2%t} ztBlfwkWbZKP^T?ZZfjA$RsiVsUz%l_cm9NlHM}P#-)MjRrLXUtix-%Q%|CD902)Be zx$GH~T=S|3vIp=n z3TVqpg@<*ISX}ko;63d`LUS2gE||K%DBYG-!Zk_#&KIu3yvz9jv8jP+2;FwC2)l3p z*6POgI0;s%%@nbkCfD7sir>+`M7qL-sigZwZPX_Fu8~R?rq80$iWft@o(OK+xL4EW zOt~c6T%SRbaNaGAQOjD_{Mtoh|7Vz7_OOUa3UzB4FM*NG?mvGuQBt8zN)~rAhK978 zCKUbUPe%v)?~RhGgC0UNNNPMamA6gi^QYYG-AU2q zXL9-@k;V+uank;7FS9sk2aM>))fdIGg{|hvx1IlGvz(G92*t_&>G}z1=KjsxN-%ka zr@CjQRw9JMt_=Yl~EcB7XkHCGQ@qj@C%bAA&h)<<1_!$+;>-N?rhi)0I@=WTz;~G zi~4HK#@Ue8OqzjoIU3W~Zq=9#!iK4Jk$RPa+MJw{V;1z{W1GE<{CNXx7T0TM;8Pf~ z#oP~{oCr+X;!2;8Gq@81-zO%(LzRVF{iZ?o4pLPs_0T~OWE8z+Xct{(f8}DG|HW8K z#{r;s_i4@b29aiahmSRr`*$jSzj7~*`~!Kz{R5fjV0@;H=8*I)vl>kE87GQ+pGz=E zKQ=@(YIS$~A{nnl+hgF0;$Pn7K0Hu9ly+ zYjID?NU9E8O?H0QKkb^pxux(+e9s(6N*%V5gHS0}a>e!gLL9?8YQUAUViAB=0iZ&@ zM2(~aqA|=dd*M4F6WiaRCtq6P*vgvp2_ngjuQfI3c3xe*#x!$|&w=&!GpEC%7I z>E-8cx34&1tGU_#c4sO|+OB87KTzgR^1-UX>V_xdO#(uv-6zyB-;%Tg?UN~KjJ^HD+iw;Ku~>tY`d0f-caAv9tH?BwEp59&n}wPqHa;;zrU}N zWsGp+ccai~xj66Xb(962?zS4_lpHMp&fydDbR-6m#xa_Q^j6bJtA2=G%T2~U8Ndeh zJH7UP5hJ^AwDqJP+RN}xJIHBoUgxh|vprS0NdukPH=>{-Kax-U14X%cDHaN;hEZE+ zlI)Y88rs^s{^yXiYRx$`@GX#R0p{Gxt=3CLr^v*wvD~?G^Vy%NN+eRk86T&tWZ$PB z9Ac1c6@)$TPVx`LDT;gVh-1q}zF{bzKO^1$vYd88MzL_nOp}5Qc1-;fb7VkP4*94# zjCZsQS&Q!%_Ev_6cmzE`4lPA`_HKc`J+$1xnI!DqYPS1#g-k)PgCeqUIfslrr1$t( zlvKZqf0_7FhVba!Q4ys_4 ze=`{ZMD+#KP?KeIt2%}`hti!n8Q;UXfmLnC3R;?8d$=uSnBcl~K@SA)lva6av_qN1 ztVO%*&qT34VpsXtH1nzA{%+!N&&xl#W`I*!BYxin&RLXfwB)I}KY{#?4N#zd;tqpU z{1xMMaCA&ezb=lO&|UEZ5?ineav0(=ZF`4i6CEr>O6FUcLp$QDS92ul^qSy|fZ{?-|5_ zU%?kGlNJ+mI5#pc8Xx=7khtM498>(zK{8y+$V!tsbA~c4K`y?>7PpXq4M7b;nEhZ; z9OBWBhuo+(*d?QUWmEC?NKS|4hmJ~P0nAP1pGg+{SLa?d@Fn5k)kXAx1M=VOZR77a zAP8%694=5De@CXbwBt#NZxUo9?ji+*1)4h|IrvW(np9jh7XySUQBA#6q7}XcJ}%M*w(ci&rVm814&} z@~l?osa@hZM+pf@Ucv{Wt-SsN3yfUL+G_a`EHDd^dtzjl%Q#Z4=&ws14WjM)#L(zF zDtlFV=3pLW??xp}_xOKYd(x9yWOg-h6wUtPQQG?D8*0a3ofxt- zFJxUR-X?oTiAZ?Dt4dz(r>7*EXCf~B!Q&&S-U1^k?G9d5ra+nKD_I)*BA4U;3|y@> zL=MET@S}2o3dP{Fe*?FO+vO#H<~^BNC(y3p`-4wNbgi0jTU5!VtlR^MoI4a zt0Jkh0g0i}%&5l;I98zp?>MRzy-H(yr#j=_m`>p7Jyp~{0P?5dKwRpT=|KLZzx2f* zI+*W8eH@YyCrZq|v2JP8N*<-~klM4qM7K(E)j}>?Q#TEG{l23@ctGnm1H9PxTQRv+ zZoH}W8R{#E#?F8(OQv*7s!vw*Whq18y&xjtlhnd8es0^*Z8>t4HeL?Kh)48QmL3^& zvBgKr8^_@mb1!XAO;FNn;ri3zQ6tC;O@ymm)am`HTyC$tGF@^Bir{%8`6F(wNP2sE zQj~P%+A}tW8?XC=$F)W~X*I0bs}?B<1JtbvO~w*<0O|n&z3t9C@}bJ%iofzs z581y=7*k@D<~C}~`0jfve>EtuFYjkK{|Oc)mh<0f73kT!-c54+t~U17pIy7W@CycB zn?_PyAdH0x65#gR%a#OtB7dsPnI(wU_M>V&kfVeezvJ<~h&Xpx1n{N_leVBgFO*sr z#UndEYYAoP(6NBTfTl@O}aoG0Kf`gx{zjA>@F8k+oOo$=D1I@;ru)xNzUK-Q6 zYW=m?^ss%e+d;7+l%V@c!9)fCU%Q>uWgA)F<337pc8nWxPP;>QYO5WsW?f*(kcA|O z61wB3k3NT3D457R(-7hwH)2PM;U%!tNQw32pwP}=_#frH+z+by@@(HZKQDT62WOa+ zH#LmU0H-`tn)&uo@Y5p7Im>eJQr63bBJ!k0g0}t@|D`CNdGxV}=3%MKQQ*v*P5&ue zE?js%Pch120F^(u*{kH7^0lwfUUTbdNVLqcRMZ6>#32=H3Y&*SokjmsSyTqDQk?e8 zuJbd@9J^)@H=&Eir!wv(&q0mkzr2Q@VPBKhf(O4^4ioHc))ll+1QnHb&bt8+>Ka9s zb<{!D3e+~sc7-^X+u%|gfF*J;qUJ!5@N)VlLx2Y4WM11VrCF40Pb47$493*DNh7D~ zv^?u1cU7)ODYd)h4bg83AV)z_49>K2#;@f!Kqh8C;K4?f-N5y=f|Dr>@%C$&ZWMo; zeO^*=6IS446ea&Rch$@E;|ijNGM!sda%8l_{au0hI~R=OhwR5aN3)xv)%N7bCK4=dY2{3l(*pcQOAqIeHMfjgE<*u4yawUqaZ~F0~TXT<>X5WgavLrJ}CLIcS ze!7b|CuOg*D%(EzdFMG45z=AvO;=CYUODdh4_y9A0b@gnchDVWttuTFPZ_NXL-tz2 z=`e{qEF_e_2JYKA4E;^SS`2vGY-=!e=cgm@^aF282GD+#N78lK;DKcKl~vZNM9z0j zVQ%u{!uSc+$-oxN%_w4$>rUeTUpHTV~z_oO&G=V9b$)W{1LORv%`;Tu@TN;_h zGP(h#EhQlGzI5*HL$7q53nt#^Q}wV2$(6xjRFN%2K;I+inQIMRx-ez3#kt+uYB8A& zhq?8tm|)5ZZXy0z+-z~=^4GDU{jL#?6&c3tCHE!vmRRwMcAkvznZEqJDh$$*YVW^CKRUvyf~~- z2vn5(R96P=hl5%#5H8)_&~m|G*5cB-6|6n#C`j60sHbN=G9?M*G?uN)1h_-ge9L@} zoGSwDzk~L`vNf?l*(FL0wrT+o^is`TSCA!la*a}7URo3L#ZMJcB2)<2rm21kNlj-Q zy@x>AqkNWjN{r%l2BDy}l_Z}R&qOfwI=N(i8V+Q(xWMtCp9aFd@ws9c>24Y7n{3F4 z`wH|O0~w34m2YF9D2G45y2CSPF#{Sej)4KQB6cm)CZzb{VjECVio7&@T1$%3@~5f_ z{B28Hjgm^{eK?qI22fcu%NUZ#y|V*k$XSc3wh48Fs#3}n6>FJ11f&^#^c2YL!k9d~ zc{*1uR@DEfouQeb`<(!U^E89NXO?)5=DjRqN(qm>NTR6{I?PYXsK{up7Q&Zfh>;UklkZX1E3G81!xxc+s5kWBAzm!HTqh34 zyC4DDTkC4+oGgKt<@gg-dKc;8C#~|+1K$6LehKoI}Wb)1CI~ zWf}EwPg=a+XQGkMfdHk0wqO3}>hXsp*yBt2NqN0AdvkR(@l@@efVE3>Lm~^mOn99# z+E%E+w1ld(RT9jQ<*NWPihm)&3REv>4{KRv$Y+R4m_OAhG|s4|3Sb(C{70}B;9C|k zNz4leE~Fm&5Y=guFAD=W${Tv6nma`w`FAALJs;8Yayb9n`kaG`t=Q|OL1>B&!y+Ex;P-9-nZt+sL3QtBB;b9Jo{wxN zsA~@>!tepr2%~<&Eyg08{sq6?haV9>(2iS~bO;pvNg3qeXBRHjV!}tFhWgo##$J(q zr2kC?Xg>&B66)rKR@P|T?@1POfsp%7<+yXTC~^(g3FX584tW`M2h3>1!6Qj+TcOVey6euX?uV6@wof^5Eb7)K}At;`aJ7p(Zb&($jL4t$UCDlLf zjn2@bq|UTH%@a&#QJUiOI%jUfWbq$%BUk+c*#Sz!P3))CUDmKo>}!_R5`9~0CA0Zz zQ?O;wgTPUopzL?uU~BOW(Tb87(y8UX2iy(|RolMz8OfJ)AFeYVBwV71;^`CfYd zaf-#^Q;S~Eh(xOrlRab5%048(cBTu-zgG%uX&}DK`|HjhcSA1s&&fwdSKCsefwu|0l@UndQR`MB<^&^0Wx z4y9rnNnv+o5=2!tp}4gp64woor#lgXw6I%>zIqr8kuxmlPW83HX~N5%ym$J z9MUaXO2+BbaR)k(F9`9gQ4?a9kYMidM?d1ZD#r%BSKGsdeI4|JdA-jc=we0mXz-aI z>y!XF=hl@Dpps8$h!(=jE0@;kUN(qD#rE>dtT&3K`w}Szzo*ypHYDi+0i0&QZnN&tG|MO-$~--r>5>!J!NLv~ipT~IX~dC28J($#XdY93if!`L4mm&v zt$4+fu#>(aC7CVJ*%eNxySd5F4Qm$XM6K3_3u5O7v-KclEFV6ervldkKAX_0Cuhs6 zXCEFe{~8--8#1Sk+l9pDc>J&8*z9O?AJ-K{L8ci1<0u7Op80fD9wx-Nvn0~aigf&t z_WJVyfaZe&eH4K&g>4fmd|ee)V7;X2CI1o-Kj;8oNuxx>kiaz6uK4b!f4$V5YJ$wi zeF28`69VqY6q0e?1C~u%q#JKD{^d6|{Cj$zj<$Ece*=z#f^9gcVS1IY>eIPepDJ@ZXkaQ&T;1duA$no{Y#PyFJ-zd^rE3^~%0g>+u?>KLz9sWBT zj=d!aRZ&IU_$l-wqwa5E||AKAF{VDe~WA)YeVFj%KJXnM!sa!gG^*^ z&t%xKn1+@u>QZGGJ~+CP>Sht*r-c44fthn|1=x4eFG!7=*1N_Kj*;t;5N|v)iq~tS zUJPxb_dx&cur0ifkK2=U!-j-QRX@CiD-WfEfPvM|}@TvP~YW@eIge za6-2#vNlaI*3RQkF4RgrO$_NxCTXZztaSrHdC2{G0`B1myhlhFd ztM}0u-9z{9S%uQ?3#B*iL7O$}+>Zy8O6_KVy7$af{%XJSwKDrh_rAu!Yy*PP)`S+R z;`KXXhYKq45Bt6^>~G71_F@i|A;v}`m1&^6rv?Mi-be?$mnArL(BS8nxi2X=mcpJu zxuZ{;+3;URD|x2lAWs(ZEe#x5F#w7{O!JS8Z+Ves>)#mL=I%P#3BTxD5}f$IEFQS& zZYEguROExhswHOc&+$!oM>u?I0d%lTM^~pnXtd>($owr2;aQ37u->k*lJFx%GW8m6 zbJ~5NkW}xbC<#xaO~pX%W%zBTVh^Gq8)UQn+*YT?#a(g(5`O!9FC9V7@agdgcy%e+ zip&GXICuON-ccAkiCD<|FOZjI6|QnRXg%aSZOT6Tb~Nzxu>>wIr9Yu{q=~}UmLJOO zvc;Rw;Dt|Em38q>@Vgw%%RK7a$8)-ly znC~wOI;NZbPSA=e^!qY^fuO>N5x7`dub8f8_zt(mqiT~2X5#B!DRr<4IEo7CFpUN- zmlQ}VL1*l}CGDHLCA|1UUQ+IV74xJH_Z~$*Eo#^rx9i`??r{-_N3qC4ax^&&MfwM- z7A3adxx}>FaUFs9LYBqv*8&H-d8rYHWNUDNc1QXc^;0uOxlB|bDxgku zOw-v2$J`E95haU$dHcP~7JRI}W)Pgq_`IAt?rWt-VNo_-)`!@GbR!q&>FST2N#JIv!bR&0v$6$ zLbzB$8qUQ$UTqpE(d+{~%*f=Y3uz$dUPT&1g763zbWbOwz6eVuRvJjx2x8`Uj#l7F zp(e;dE;!db%cuybhQ|soIV#j{1oORwgWhYw#;mxufWW#AGYDU1^^1L#qJ9eBtNic% zcn=axv7YKWt-+UclFQ?BBP74Rn+V4hx?ZfB-dB>z`wa-?q_0bg0Ss(_;N7)bj)xmG zL{|yVu;%r!-HF{`Fj_6!t0^V9%tb5* zQt%FAB4$@#3s6bj zA0|vS3IX8F9qsjx5zi4<+yH zKjO97r*kJg7AMOPcm4q5UbLf^9){gh>Bs@&z9yZ zmmem{V7mKL`RE=gj|h<#I4}oOGxPg1G1FF{n6^8STgvB&cm#lU2sDK74xkc*4l@0D zs7URi)$>PV+I-Hzcscz#>!P$O;OpPlN_;BJ!anc}J30^%nzQ>C4Y|>DE{Pis0 zot!EojMv%{Jd-pNa^F%meGs{B|19k#O`>W0RMoRTnejOMzkw>k zu!4*ut?_D4vEWLK`6_pLKyEleJSbpAXVL@)pQ>*Sve)h4MS;Ay2Oa}_;&WfpdRlx{ zLgDDP7YC5blWGnQ;mQ#!+d4&U|sQ(gXnIrJp4&NdjxLq%+P=6(}3t5Ou${$6%u z)NSnI3^*NBAH7yxykFF@ZHT4>$g3EW>>X9U1?blAFW&#hq0^FsG5so~3CC3Mj=Oa( zEccq!M+#9<1u;QR<=$FL{TttbFs^@#?~*TGdw6&tIVc{vjhmmWIY?IIKx(ys+$HZJ2PNTR!IXf%xb&HUeFjK9 zo=ZTY+e{KrgE_H+{dz3dV9B*`tbiuQ1@n2Ykk2gRu4Ex$v{)HFn7UgwJ`d!z&;WyT z#BH%~15D?7zt?HvI|3@;lI}lk2PSXHJ{SetQNrCi1=XdRZzv>(T{LeA+^lu)lbfi` zgnJ5V&!d#p`8eAABfz(>Y9O)Q>}ecT=&Gv8P4SUBFK8H)l`4dB@5;>ucSr+3-0}ZF zjzb}uk_XWXMIk@@i}pZ9kKJ z&gKKC-ye_=dXor*X94!?zDE0dX+=cna?GfwEh>YaqB(+kLPHfnv=-8Qk@w=CMqDJ? zD3G_1SA+HtpfYR7S(4g7I-c|x5C~#BxIG=T?)7Z-(?PU?Td%xNrVAY=Yg{~DeogQe zL9Wg^cUY_b&2C_k=}Xa9ehny8a~sAl)1BjUe)?zugDt(p5^nIHqbiEV8A;`v=B z;;CB4xVR%)yg)f2OEdl`z++xp{@P3F#j(NC4`x^yrc8kmW36%M5tLN) zK!RHi->-H}w=KcH!T&}Q>~bJYLv9)@itx~kmlt%C$kh9huAEowo;&`Xs`ZPXPs~)u z&p|_`MgzZPiFITgUD>yA&nP}knhfK_4@mlHYP-brx!C>mtB?Rm%rR*p*OSk1%Ti%` z>+n-HJl7J*UO`HL(mqAM`RGWnUDKy+qe90r_If!d2h%QPKvR{6fbQ*9N9`$WcY(Rm z_`e^&Wkq(Tlo>I+oipC?c0Xp(*Eerqw|~6J5=GwrF(maa#5nCrPOj_eWYesd|30~Z z&5NL@ujC+l6TnaRJ)D1UnP3F;(q^xF@aNesz^$hO#T7LoaSJyv_BL*2Iay-&RCreQ zr&q0N3)q{Fnyj^ov3Kh~yK4Jv8F9K)D`e--YoB~p)RRe!&5@0iIj7+RynP2ApFR|1 z7n-aS@100MSa&0QESaZU%Uo=m;xh+up3*>@sa1XEA?Bm5eDFNBl#PO{yGjd-{H%6c zO<*F>a)L@CNx}$FRO+CN!d+MB&^3Jv7|?`F5|Z%eU__o&WQuZY+z%OsXD2~8H#k1+ zuE1TtAt)z9rWDaZZs@!8q9Yo6t7W|54lvuSWQ#*GoOkQ&8Z^J}H$+K$ukD`xf|E28 z1`|v#DxGfRhT%UH)0Bx=0G!wHwNH*cHEcOJyrl}^BA-;>q;%XJJG%p!3ube4x0M(K zxi5>_)zJpjAp$#w7wntmjjOJo0tDxGk%YT-W8Se5fz<|%a$+t0ywCQ=06u4bI|2P$ zdWZR&7r@z*0~?+&mhf7XFrM%Vh=Y;I`AbgR0d+^4KSRv8|3&s#0GdzYSnSY_ix{*_ z0Oau+nyUCtWDk<=cABT(OXMa6$!0RJZ)SCWU-%Bg@V!9afxl2Oae9{vhAPtXRI!Ni zR4E53$k#?UKz+>RGwi3=MIm_O@G7r`E1=uEvwr0qn|+_&!~p$=n1TgeIbBb_qzkgW z_U`d-oDTFMzKZYfv&}c^YW`+NgMKPW*R2`nHna*NM)othYS4lIi|n#`yb)~ zFOhuoQ;OTcx`C^o@5~_?>_+mDGf00OYD}sI)d0Z5PkZTw;w3Avwg5OJ1lp} z!_q}NBL)P1^qGIvj>mqLX$hB7DEmm;F|v!*wPR~FR_0GK|WPm*oz7i=Ow&`u6L_&R$tj57M64EZ#}GA(8xZR0$c2+5Bhej#KinVsW@f;9#@@p`_jz^`H*BAVhYcm}3W*8k z0+N1>^soT9D4me$OoP(e){c-@QSt8Uxxfo!a$RF{ z(9C~lo9gk7Ds;$v#?O2sAlDqs1-wO=HXdWrQ-TB`Q-r3M`$+)>2fm!vmIxMmvGq>= z59EYLwRq2urSF?y_?+eM#}zCNN6qcgG@0?R-IkverVoGiGUVJI>}QZ@nHTu|*@C%e z)*B#_JDnXQg5&NSD7hBrcxEpeupo{M3>;xVWC!w)8eAt0rGLZ34#wnjAH`-(7`Jv_8j=zi=fm7)p2pdXpP4oWWVjMU9xh8yL zs}hS2;rW1LBQfOy$#(Q!arIC){QGAQa>(3Y8sycjQik1k08@sbWVv_ zp)ia}ccvJI5K}g!aS9eO)e4!|ZB8cvqAON1sOgnreVL5!c6qy8dZ!5g*vO*{uAy&z zzmOvfiDz8ifRm*5J^~Uoeh1!eCidR$!cv+@KIvdcqREa>E50~$e>R1rh;N?M9~l_M z!T&iSE}j~bJXbfACIZ;W0_$U@t;>%~npJIkphy)bUc(VWQZ~2D6Pk#9|4~u)$<7GX zMfGI3+yW1Xe`q8%HkXzkTEcxr^M3V&;ga-am zm=(9$KgG1NS&CM0mzYGvVIm|aUd#m?Tl%BlIB481n`Fo~#MvZA22#}`;}T+}tLS>V zc$9v5`9O{zRleLyJA-F($O5fZtcTVY;?I4JnRX7 zwrmtIQXF}5sT>nbE|k9{#|DIRaAtkkk5(%57#_U*I1L_}#Mybza>!G#>#f|V*A1g- zBKk&U>r&bHHH9`$JV=q6&UuId_`uZM9k&zqVz9nEIJ$g)WFPDO@y$%r(k;d%#AL$n z_jDo1qj<;&N7qAcXz69B6-oW#N1kT?!pUawm7JO8`PSTuOp*e_+%AeUPcN^76|$N8{ztA1kHelsAh)>(bZe zhY32=9$mZHyEtrh{OGZJ(mzDx7+Dz3{~fi|a(1U%W_~hx?d;tPUg87nq*H+8Gi^#N zh$=uNbe3hmW$r%%$=OjH87#Ek^hbv=6zXWvDbC?9w%ON`t(K1F)}|fpHqFjDU$kO% zM%`Wl;+kwjo;a&FZHZ_n($asnX*Ssg!1RrCH@MVACOpa+-}YOyphE`zZM&|f0&W`% zZf)>Y<%l@&{zG;!{|&;BL{`>z;S2<3^$EKVr)9LchAsS8q1>VMUq@kp8AtKOLvSx` zB1S%Z`19>h+d7+vE7g)Z4bf12u@s#AMI9kC(SkHPc6~*HWc3Z`&u8_w9mBP2eB0AY zB>iJAX>r$*>XlqVsD(^!Jhkp;8kNuF3Ogre1xki<`TJFmPtIPec zrmSh}h_au_Ybg43ldqk?*jkW@XTpL)7o=bfrJiwBLiFLfY7V{UH&alMXh@lz%GEI% zkJph({85Ha5$`J{1SG=AbgoE%+#bv7PGk#J{vbj^kXn2B$OE{?wrt~cggY>U9yuyL za|X$%4#eogB%JFvweD)?F55MP7+Y9|n@b@4E`<>9W8m5gv0nlSZ&{8qCpHBsPhcaj z9`EXu1VB%CL=8l#_$i3}q$||)l_Cj0GQ1>bwW+3^88!k^Mg#BhN00DS?vapa>(h=3 z+W1cZ?IVV>C~;JYwBRD|0_~YC`h^~;P5uVP4?w-pv_L~RdUUE$u;7lFR%3V?%~uxX zyZ{I2%!QA^x|OugLKu0qWc&2}u4Pe>EC9YFw)g4F^M2{I{vF-P(5?iGC3CLUj_y$R zw>MJLMt2_aQa7>|$pgHZ%kMDm;V$a}zUzJ(hT)*rhv&Cazb)r;^^zRae&y^gbk>I- ze+HHF0zSp>>i9kH&E@8WgXm>OClLcUHv@1<=!@pB*q73SMKRQF(!M}MUyEXcI*34V z0_w&u3t{uzctCwfe>ZTfYCHq0ema-8y5X#fKB!&T z7bgU!l^ajB772xi?l$#HLU*C!e*xY~LDG#zb{dRgK)8 zYpH{7@)*P3oO=*k@H%Ig6}_#Q*4H!ae=CF#&}1iAPq_#_JXZW+DQb>0Z+4S16sM<% z$wdqh-dx^wA4WBKNy_T1E~Os##NR#2%Rpex8n`>NJpr%a?0p;}{s&sck)QAQR(YzG zW`8^SmW%Uz``kxt?M8^Dk=jHig@kuSTO8@5W^K2mxtg^4<;YngOF~s<%88h8n*Y9h z1~BUm)##&^+}qCVihYup=t(Ali+!Hro7Q*F!91CM$H7Ze$&)iL5p$pWvh>koEwDA^ zk)NLwk&iAbqkqSd%)@4*u~O31CHbpk%)4*a+{|jyw&%QR>F6f2Q*+D><RcCs%`uS-8Np*t!u62BjXQAGe z9{$=_4G+2nb2^)PhO2$>b?iEnTe!~BqengoW(WxB6wz#$!n@tX$9_~xLfl0jB3}X3 z`40Y)T|=0C4u*xd|6TbnO*yT#9|pBFL8`ebE`&0Zes(_py%hkLSz9$lU2XM?a4vCg zp|NB+95f`)?GpOgT2Y02q<^zI^!UxfF(!M&5P(^JPyW#(V(6V|;hoyhs_o~Gds}*Y z?2Bpj`k+-Y=l`qhEyLpIwyn{|Az08LjU;q}LvZ)tPH-nU1b4SULI-UuNPrMLL4!L% z8iKoPBOzGhjlN&KXP#Nx^5%~qWWd|5LskJZ<>tQw+HJ+ zlyfSzi8{G>h9T8yVul@)O=1hd3#Qir+S}=aOudpq{@F%zZItPYczlvkJiciaM_gZP zr!C2{$u7fMrE-mhSH+3b<=WCbq`{hfZcx9QimPZz9%UvoC(%^D$3`-k$=BmcBagW3 zbFPz3zN&I(?z(8dkd1SdF`esMgChMkHQaDbmJP@J`SJZC34g_ctIGMc1}Jh|Wv$sf z{lL5IBmVY1K|yODZiL=HkUPvd7Ow1l)o+-|PoLphhxMBnj(m+(CQ$jFh}9O|m@i#h zc`krL3ADTQhtZWFr{^46;`AryjcH@JsFPBtBjnoNC|W8%>Q>lc9c96|V(68878aYn zN-!y|?XiuY{V}$3yFQKHf4s+oe6I<|7OMN1$#=f;*{C7Vusjy~@U&*`PKLY3ptjSY z4g1o#Zd17JQ)T=QI5|H3EQmW<@CxItwUhley9E~NYMuu2^iPy5z5EI#1KRK%9eyV!YjwjUs%vLp)E7oW6hw}D7q@F%4 z-UCll-w889_lh3>#NfSaGJj?Yp1regd9A{n<_pdtj5@bOpx@?{LijcZ74~jTZCaeR z00q0p&T}kW9s$-8^Dis*c8vAjemyGlMiBRJ>9%$@Y=oeYJ}>9>b~!i=eWJrRui|-= zzA!JW(r1HqOIzyaIKAKLyNyZeZZN#L&R_cZYs2nkt z+MZ4%etAGvrL_^3mL!O)2jE0dh5ZzBD^qmy)=OuJug_;EU@_#o9^rsxJ~u=BV&na; zAn89Dw*G}4j1(Wq|C3AI+?uD(Ys8Uk_Uu&|Z4#z~UNsT+4kRUFPnscr_2t~rR_A12 zJp3qI2R5r=fV(5l3W&%I)|+XuibV+HPzoyjI)C*2fNc)-@Bz%#8i@X$S0T2hl($_EkfZsO&{ivzPip>liW+IUgC}e8m&}H9*LO2Rzn_uv=+c`92w-Rcl*WLX zZUN%Y$2YTKixPkumHlD{K&kp`9H`^nuzEW3Y8r!BfHdr%gSA_EPa1CQi4glS8BS*X zCW)v&BitjG)l;UMAC2*GL|s%~X>qm20)w#|f%`IzY(9M*8sj`p*kn9Zgt{0b0gIbC zZXC1b>wv}#GZzDpb1;DMm{A30M=38|BkE?=`;K$`s?s%nO@ zfON0a82MNC^)qRr0w@cpAmv38;FB<&hbZG0%WD<$+s0u&mb|}b8?N_;xWT!7vV-qVcjAR; zLgJ>G&g`b)U9(NXj=a5|S%hKCb%tX%jyO;g+vnS8__o0i%Yb8xy09gatS{U1MgAJ$ zeZHyC&^?l`e~NIKXS+OTwPg@~M6GmcX3*QRWqkP!8PqG3f(qQXsA&jNy=>+ztiK1` zd4O4UTbpE3ihHWCaK>2|$DIyq2{iptrT*6XCldD~2^IW8PmcrbvXvWF`Mn(6^7yA7k?yW0=#Hh79MM8=4eN4+mfOi;v>;tg=sw8x@33 z8ia~M`(I5T&j`>uR6PkgOiQcq{K+ruy+mz^pOeyDtBm@ld6EdN+gnu^(`jzB_eo7n zOU+P=wjO)#2M)BExn29PD%jChH^c3tn(2C=BYe06QwVsYr2E||PD7VbSekffi5%?) zxR(UMqSL|J<@<9&-1fNDZ8cM_SGX=&o4*zXQ|SiOuJBoV9%CfaC^JX|)AqhxMwOqL zb|UQxao!ikNSJT<;H8eyv_2E}VqKzI6BhYknRcB@*yQ#uyPuv}u*QT?cK5BPvM6`f zypiqgDa#nqT5k_bH0z_v3E^e7m&CXmPo=euCjc$E^n9~94FMDmiD%q^0{fGvCyhNT z6yoB@F*f5>{L+d~aF=IgF*cOlF*^D_XnKue=mWADjC}V8dNLI8L1>fi<$2UuPM_s3m zjpE4M{m=|pP{k4#-UVZf25I3OT)c;VoxJ;7do?l)e?9kTgEJE|UFlhXZID8`5vBTp z_3Ne~c2`h7g1Rr1cd$un*lYhd%79Zqbx7mww*NAEc5 zHuz-q?ey23b#IEt!c-F1Wz&_*0Ah>{>LPzF6z9&W7qPB|`6Y*l{dd*EMTbOog$j2> z24G^4)+@Uw-`9pMjZf9j%;YO_+b%XYN*f_uMEcfMmQ?-{>gxRo%b#)J+{#Qa`9ml(Q80z>^Ru) z%R7J|BL6a7Eg8mK?dpPW&liuEJ&Y&Jnlk&dlaBNdoTi|6G$y$!arG|@!tiOg+za- z(iM8j*{M}L3V>l&kZeEo^Om$#UW79_M{k)`H(Xm={)84@W7v^NSs&VPOdVVBg!C;> zlI|B%gd=8LARs*W2ENIBxKZXG%0OYbq$&AXqI2UQR%prz-{tYwM&I+*HE@rWT>w88~vKjdP0z#HcZS?{+oBq6Ho zc773mWN9W!dcyIQ#S{zSzPE3x-+XKMFd0fYy)_Xm|Gd3oT5A6pZ1nNaK^GBmeeh%_ z$z2dpnPfd>eQ;xj%&RGmBS;eC&lpQj-vsPH1I|(>VB2w!l~BUBtjV){sFP}Y zGk}@sCN8NW%1>Q6#_n4b0j4rx(Mh+`3lpY`I+bgtAT6`(NZ{GBl)tqP_Q(nUX!R7} z!)ZySJZc2aj6Oj;gdBt+pZo>-Q57#fyO$;Ow-@ik1L&oMW4G>wrIe^GIp}~`TS@u? z2=i&rsq%5Gm$ef;loR-rrHSB8MUU{h`G2vXn|+*e-;B=(yy|qdFjw^hNv@&dwaY15 z6VhY>noZo>1H}jK?usf2P*8>yPJ&}_K|rZPKK{Nnq&w>w9yl4UQnk%<9Yzxg1?3Hf zeuB_sNeS>)zN?zLC=XyNVzHwG{PTjCIhY2x!Vk_VKaE`h`S`uB+bsKt9^u7&$h?mAM3<+b9#ROp`&7N`ucrW_4s3 zCZddo<7}Hb&PCdjPCt{8N_X{5Od{8>o;2+6U zg&n5$z{IngaSTK70lb|^S?k+U9C^0E5PotFus=OJ?w3q^ExZn#^9eS8#|qCk zZ+`Zbz|Zy0abd`QHJno+xF)95kn+0SkvzkywFvTwIBp!Hfn}Hfz~(I-8|5e(c~N!8 zIoeB8x{m2>vkEP2$e9W)=bo4n{Ha3wn&H05fi5iafJVNZc-B zG8{}qH(F0seF-7YQWD5Nea?J$9nohvzUEr zGw<(azQ425zfCm$r@^XdtO8c9PnI*7Q5zULqjC7k3ewK(s>y~zxIP^z{(i2T0{DcDP_r#Rx!C&!O6 zR>PlRmW^<)iu-)IXGLRzg8Z%2jaZA+K*T@4z^RJ{ z5E%PPEFfm_EEdTXRu;4c__Oby>@e@zMI`5icfLh_rKY~vDJGL;!rNwL+^XSBfon8f z(+X>8JlRXhl{iz2j}*4k>hcxozWb1m1IL6}GD2V= zjItLck)u01+ng@e0g#lV@-mLla8IYkPdM^)e}OEJg=?b+k3by_ehPx=!pr4cmrpg& zPX;ds!83LVTD*T0z4Ag8cSLnV-9}oS&JuXw_KX>x)fI>&gvYR2f@3F(K_fU%s7 zu;XNDGG0--?;?fsE73gmJ|aJN?`HrAPqR)Ljt{?Ox?@3CuZW-D3{MCEWqlZVdVUuz z;aZ{{%@~Rv{sc$3csEBUyKF3M{58QT4A1p53)*f%UHor{Ck7bdJD-jrlTVVivtgQm zWhK>RzIFYJsYaKVw#2}`WN9%ye@i}dO>ILCoVycqiiMHsk zX5aR5rggP2n)+CTcQWNc!q!l#ttp3m9G7c99T(w|=c+UchImvFYZ%PeP!JS)z~70I zNjt)><~H&_rD38Hw-=j<*zbSo57b_{T`IUX+Zv%llv`HM<9G*n1KgGAh=_QWz-Q7_ z{P|>El^?aURX*w}pC7{drXLPU2SxgSYN{bBiCEuiq+#$k64PQ}JT9WTyKSOF^%w6m$Na?Llpd6#^5BXW-5t{M*L(G5`NC}VZ@X$iSlei0}Jxx`1A&ZMR;t|+9{$T=O zc$lo3V)lv#D{cZWbOvQfT*(_m&!%)I;>cxkX!Qi;N2K|sOWZD8gw0$sZB}MuNj1g+ zc7XFb?q%2IuJBH2*qea2`T?MIcM*}X5|49!w0B;s2{RLPn97vwprJ3|GqyoNdV4kg$JUA9*^cHyO~D z)`Q;NZlpN;q)NCOXbvTEf?l-~U%H|`Z&Dq(^7sC5aN&|1;fVJ`j}9)+#Xowg3R1$s zfwm)#7g9EHdMb!Q{ES*AcN1nPb^zupYq9!B9cx_h(uZrLDD$v~G=rG7d3G2wrJu$p z@iKJ?L+(D4veM|eKKh~^%R9tZS1R^tdiJ>KHn9qaP0AV0RWvX3<)1dR!ShDY@3A?q z`i$WUUQvLvV_neP7l3a;5Ns4?Pk8$?eZmy{YL4qE0f^asEir?=jy}4HS^!>|;qkPQ zg#YcFbeh(FS~n9B-)Tx*+y#}yZwx``;>>n z|FN{@BeGPqrAb}IgkIw@N6Cm=Y8mF%fl^bo|E9eEiwE^Tg#ax)Ve-^_6cq+J$c3s< z@@tXQu*hI>Iwn9$&%B`iDzX{hOT?;*A&ob%JDG~0F5ZdTtpG`YM6kb;ou25;biE02 zyq&5F1UY)d*Ud5_$d`93xB=jX;*z3SejTZQiF8~#prRUhUp5KA_S42 zGl>-9fCHzd;~op=*#qDtFX&4NwJS!& zA)r=+RDB@Qfn_dF5PUyN-`-=V(PB?KhpzoYk=LBt%Aqt-f73$+X&N3;B6u!-TgE0u0dLb2?wC5dd>i(f{}Wu>cI>o|XNZp<7`hknH4P?mnr z_Cx|C9?ll?xMn2>5f^xS`{v6Sz)>4{VDz8(o{)3%c}R9(BGr*9GJeKg88PlF!Jc4m z2cqvGA8mKk5Yqx08&y~p#KzJ8&Zz#yK>G`b75}fR_kWrcz-rE^=|TSM8yJsLtnwhQ za!0C2@BdNC`e#Y&zaL8y79AC|mGg0>-}vWm(dZk<#Zd7tf=qL#Z6>v)@l$5wQk3J) zfnf0hcp(qs@-HHg7leXLvs73Bj@v&576v~skFm)A9!-V+{;_G$#9}xp)I4XGA5bp4?}r)#ZiZ@4U=8P`mEN`|nrS;VM}mmH#Qz`%j;h5nZ7v-G0T0 z^8;FCNG25izWuD-o_Oc^SifAxLc`JwVJxxQwDyel(26>QpKBW1VI20`t#fjaI%)5= zoGaajQcYtWI3yt^1rsO|mbi(j_(B+lB>pHw+GricVR%E_LsQ2%quz;=B>)vvYI)Oy z8Jg`1yDZ_$qw7JAOf3yG>4jwlG_cL7^iFvQ3mU6OzvKU%2mhQ8|LO>+tNp9Hq@}b6 z%r>zgpAnXH=|@rB#oE$jA7iC4#EGUWL_G0{=F88uFrw%s$~>F))QUj44xmv70+|6| zZh>*fo)rejRYSa~fE^khMyUwXi=1OxjOcC&HX0W6A%1#kc?Kyj^@#P?x7*8Xk66$U zb|<;1f<3S{oszWr#$90qeaHDvY|%4mGBMeaaH4T3@U*x!f0}2%|6!%Rk%2q)Z;xqf z@u;aiX^Q@3>%=PlcSLQv2@h5fmaS=9un#$C9Pb;Cv>gK*ENm6ydQN`B4c&jKe~#4H zpHHcMrU)vS{;IYS=BqSE`}v(yFUuGN$-c*c7y6T-{wl7bUaSJAE3kNl#_fms$9E?7 zF)q+eLFEN-v%XF_8Z#4U9OoD1iTp0+CosJz)Kc(dnLz@-R00hyx1XqTvjh*T2DC`4 zqFcoLqc%g@)1z#J4s$n8SxFXf2|lO1B$P4l-wutbc^FJC*JWNh+g7n;&);H3;LqNk2&+K3c;Ij+Y{0 zHFI-CCNl!K0+|?W~igA5{%f` za^p3K!+@M{BY%GD(AnB@e@76h!Gf`)M&Rz)y%op%g^`|!SUcwouszK{aJAn)8~oA` zjg;zHJU7_$4BK=rw@?^BVnbZ&lwxMt!<94E=)Spa5XXjD-|oKeS);t8{r<{g=yloN z%~uf}G@>z=ORpw|HbEgwYfQUvNeK?k*I6!(`#g(WRo*S0{Q8^rr^%y6uRRv=7;Pe^ z*F&)EF`1L435%!(25%g8O>{y5t{8%tg=DvUdWyPHg?A-Dg!8ctbaRlJ3 zbHJi06c^bT$4B3~iOX+5`~o3NMFQd2h*3G>SZCDoRL&>n1liaZ8MUe^ZQTmhgC?;u*l3nsddy!kEUicO%jbEu zA1hT^8~!cDT?i@}IZ6DHo_OlemH%6cPVg(bJ2EZWx#v!14=k26x`iVnE zYOgIn56j2~5fCZP0p1N>4YXM&?j6ShiSGg1 z%}%$;iWSF3!4KwUO_)TuV@wjFbMtEi;!;SW#mv%TQ~+9OEBA>oVYvC z^rw*hUOcRLck<*1u^-)bMPd5cB2T6v;F<*EANk?yL84Q5*JPwtg3})qLfcJT zjPmP!TWcCpynzM#gpa_0CF@92Mw)NTbSLK@?DNKKLw`&*ReM8j`-lx|L{^ zC6zan2x7};)AM^A`g*3qwn4C8xeZkqK`#UfC*Sp4U%yLi)_fzw#26(_b@3;RNF0CT zn9@I^=f)!T!iaxJ!b0no2BXQn zlRTyo5xE-dB}j{ys$iGRC2oRwQyFKEpclRAd(d85%)2didXEG&NRC0>-D8w$vH$Jn z>X&slYNtzMUK7X&$9KwCe#$z0bk&#&qkfcX)#~K{3Og%hueoTkaeQ#Q?rdF(V(KyH zoL$n(Iv$-qgyjCgHO7i~!^wC`@aia8&+lcZ#wz<{s7UCVsC|EI+cP(D5qoR54dIlVEJI!8eMaN4sGTiHqEtNWaAT#HiILNQ+2r{we~qkz(Vu z;%vI%MxG_9^cO*KrG6=PMrqQ6!UxW0SDMr2{Rd_o+A7kF9Hn#tIzWdn*q%wEE1!5x zb3PA&6Zt^;FlsE(@Nu(UNN3iK^XU8b#Kekg?@jc$cdg-LyyAcva_UzuwR-VF{EFK* zv;d2e5-5A+(FN;GSWfbfhz=Ialsqgnhp4`8h`;>#jVKR4m9OvVDRji$ObM@A2uJFt z)Q`mQP>MT|_wY4>x{tmIONy_{Or8(3d-qi!V2GinB;{w-Ng3;rg_aZ`=-uJO?nz>z zxJ}FZD6Z!;(YXa5=Bx@7XY?^Hvp;^UVd|AhR#R)%fvFUzuf1f%ILKbZb`;HxmyA6T z(rRnaB&R;wX`NP&pd39r!>V(38gz5L?fz8$b4P3SO)BHuHXXdjBFY>**A`Uad~<$G zA633$EN7m!VrYQDP^Jo?HeWDai16PU#Bl+SvKwGl_`$H${Z_{$u4 zF0RIQIX-<6f=V6e8Ttus+4fYTzW%ZPKH6If8p=J%zdvHzG1gwssk`#x*5Xh#J=rSJ zn&Mjj`D;jF4&AbqG9!aQ=tw9AilO8VBc*@siTp#AOMoc6?6>>cXRb+WU$yizvt{^J zx^*=!=T%FB5%dQO11wh{j5v?dsS_D*B2baIRHcL)qLFWd85KhIpyFbY|c1jE8ZH@J&)5e!5%U&tbxpyv(3h^XGSQ>zKdE6r-6=k zliQ?(V}(TAN(5UX0lA!enXQv|uiJO>L{1S|SWVH^EWKaiKd=mWY!9X}`I{9+B!#|e zFq`8k6Z7n{0V(Z{uNzo>S1g#PKE%9I7v+1#e%Nbe8V`FM>gg`>y3Th5q&s)#u~|jd z#p%=9pY=T5C{3`uG~jcgCwjPuFEbssKghrU`M!5#1HdU4mreh~10w8NrysuN6yQpLPNv0r3g2?ekBH;u7L~Y z{F}=no}TI&@m+>pfKw<^aD)(;Gc|RD`J>M+SVp^Uc4o$XrT6MTfuA<-*QngJ zM{p(-H*I>siv+`&(^m~&I0wYcnd6>U6?EDs68X#Z8qZw4ztb!J*m@{CEtm+I{I2zV ze7J(^aEmED)=W=B;lLgP61>(Fm8_#EK3?0Vrk%7!0eKt}4+@bwIkrGKmMa$jmZY2D z;-@`)G;Sn%pF1hg!v6GykvU<}@^+_xzibcaalXN@wY7%dwnC5>6t=I`-Y(Lbwhaj8 z#ymF)hj=tyI1|-nGCV8u+A4$!X}kVP5MxCDoPQXpx5F`b+=RyF2+snL{HY7%hJZ< zCa%SyVmi8!^GnlZR9od# zi#{;i-u*W0sm^`*G682@n2u@QJudNN>4fwX*W3 z1Bwv2)6*qtpCE39a5&hWu1MeTMpdZIVR%TfplfMrw&`-W`}@{^aVRStblGSwX=-$} zgn1igo`idT$#x}@1{4r?+V4%9teFqe6>tWH+wsuE+%NGckxNnJIyM)5GoK>9%Sd&0~V#jJ#! z7E-*z7846Hf`CpZ^07_B8eU4=81$}@b%>$%H;3_yQ3Z!1@Av}7jlSSxYRKsPda0qr z41uYG{L_3M(2;H*B%h+-8c5CPp8^jhyxq9z@=%G9l|oMnX)sLPvzK|Y19hKT@ZQMZ zWgDgFy!lP|v%dPPAqW<+>sH%!eF|@VEfRp zg;+!Ht4gWOxdS($o=#{kF3N?d**WmxWt!Dl1tM98)Xp&Weq+deflkyqq5c* z>|1fPFAkzgOuT~vZ7FT`U`)d;d9Oc4;pf;j$CAW%JSUpay1ziQcS^7`^BH~^4LrDb zba5uijb2S~L-wu<{DTKVunPqtL)ahi43Mw|Kc|+<8vj2U(zgQTNyMSd&)VIT09HZZ z!-y!A1)sEwg7&!CpC?4{Kh@WdaGE#US2fA}{Z!J0VZEQ05ADuY6;}pvyi&UF;1$l@ zCr^I*mZeTE;iN=0r7Vev06rkWMJGc)!+vldd|fvbcm8%KIdN?M=SWQWsfmmyev;Yg z9B+qUzI6(07_{!m(Rrwh#P}&m;zoKWj=WXIOwMEkd>T&XWq%1nmT|kZN@Bzkh}Gss z*BT6Z_3yvdb26{H{jA_&&Q@!`^*LOyb9*x}9$@`c#TwZ{XYvk`UO`UR z4f@yVO&E7$-?SnypD)u@b({k>gP!;R?*n}9+H#HqH--lf^499u&KuJRBo zkeFCiw)dm+XGqY`#m}?KA0(D~n&M90H&8J*P|<(>A*j-m_sju5PyF0Ijv3Ru!?kh=<%;|1l4gm2IE6$K?m}_D3k+LeA^?M z_&(Ti{hsY7!ZaDu*iqZ2oJ)cUoy<2hj4X=bVf?kVp38H69VJbZMW6Yi@%y5~1S$QI zO|(0&pHjCXHQiW6NXEKUHN~9}NZfb) zA(#Fy(7PD7_m>Yi?XNlitP}&4wa=H=tq8w>M+5nkI!~O-8x#mZ0Sxf9$WYe0RR6#* zvd-9&87Aeo6vh{LsNlQI zHA{;d7mei+i8ByJ9qhNRNpxplf3lkA;X4=DqK*^$=3Pk6AUWKc3YW@)_obg@xPtI@ zDaO_ssef3nK`w_I!I0P=Zs%qyIIO1%$~M;;UMX4I0*6dG^^H-6O=Kg^ zzLSbr%Qd2kLP@eOKOrQZ!NGobqs49sn)IG|1KeXjZrAWTYIedL=F^0WKe;f^($`TirTz0=$+xP}>o`A{r!u??{ zfser66Eak158ydZyD#XyAFV}T^$#bR$uxiQQ$r1m8VvsI*bS*0{g=>cB*g=!S-+F}UR>jIISpl@h7Tt( zCh#1T3Nu6pDttUizm=JUjGy1KJZo%)QMNuliY-cbng|hnJWxw~5v^fTg99+RWj|i( zqm1Zl2;WD(JzA2T)X_Xty&W;@7z+^rDO=-4yrFu}Jd%db>Xu4R(_w|G+6W^I=0bf9 z*yN-fw4JKQ5lnALS=}vGi0U_J8WZd9odPPkhh67Lu02B!1L&Lk{XDK(0GW8iG0BpX!PS(b z;Mqb*<&F%8PKOH1QUf?rh=nnwIS@g2_9Qx3rqJJa=~gG?%7A1UcbJ&m?Jd$}=?vR) z`0fV_V<{uqAYwRIF?mrLj{^?LRp$Q%x^dG3be}A&?ClFs`nCylf<_SNdVg#2neMlM ziE4*=iZ@M65tALR&45vCmai7yI1%WQeugx_mUj3JE&~e&W6srC-#_tTP%d=^6-~9zjQOtM<1FCbs%P?(_B2v4nRg6;w^)Ruf z;#-;9cQ5rA^w^Z|aPuG8DKE&Ti%IY0&Nz)=P5;DBv%*0YGCSO?lilctkfWXN9^4lA z|3-b`7RTAVl_FZU`utIok(a|IPMqhf8;%HCKhH>LzQ5qU;-oig{c*hULz+if?~(k? z7~^85n3~70FIK_crx}vhRecudsG2+KzlBTTC5wOThy2^JyO|Wv;_R<9XkXSV9FFf3^0M8WPLq? znDqDJe8O5!;A;nDsicjwpTN&%=1Ey;jOwkMtTTY|)!?6xzgXEA_Pw_LI92eRL>|m0 z7BWAh=yd<|KDNz50_gAOB(-`ZPx#wL_?fI3Z*OuAB3#tEL;yM0llNZm;pO!7{#;_Q zBQ!K98DB+1DjLK{c4UaQ+OdIT?iyPNQb{=s%=;i9wmU|WsXswHH>BW&0vr+=IolMS z`MXTSC&8x_riopMcAti<;__1QY$GtejH|@;U=?-^5QYv8tvQS3C zx6_Q}uHzn>@`;sER!D5(=-Jnb#c~1%jhdPEX+S4={(PwR@pSG*-iepi50uYFW}6%W z&yADQ=Khx~-B`}B8svTX9k*`J zzKL@Dt5_~H9~K&}7b`$`0AX_W8F~Ago~Hx3jj%9$Og9I!&Y(9k1& zqxo0xFL<2YammxcO;y=dfXdvS09l!tnH)!a=@P_Kj*;|f5_(ZwcG9_oFKHly@wL9X z%))STYb&lRWeAE{%_hIQyJqjgiQ|&Cf6Mb4*yo{*-Ac)!E1^K@W;CW)4zV|gP`?TEE#_sAXguF!`D?ow7 zF+RjZ{=QO&_~Be!HC=3>7RCN!?ViRv6@rbySDtb9`Gevi%HQ__!}5&dL$C9(1D>@5 z+Y#a^?#@lO&Dg9t&A6>~y2&8c-#DFH>@ihlO@D!4e#Ez(w*sI*i#yJ|_Yc(J#wbOF zMvf?a#t6LxsdgsYv5P8-6Z`mjH)@Tl(gUThgG$x|(waIl5X!4cPRR=q;Q!#gBnBDO z+({zGV%}Cw8KT0I+Y2h?o71fAn7_QuLCh05!vRTL!%l7U#7)4eO76ZdpSXd)Dz=mG zMU5&Q{WS%XDZc;A=)`Yyme_a{B2=fv>=1zn*M29LXldM(8T!nbTFi9tn4M2(hsQjG zc@2oW=lrOz2x06c6ZkvtpMjww<#S=AcYcAb_A^{O2isxk?9m0`T+4q9u3*%aMFHTe zH_G=;nRenk06&rSm-IeBHhaFD|K{u8Fs)&uu?x8tn*9IAp~HlQxr@_CeKYN?g{A}F zj`p>)wUjg^*xF6fPymGcOWNfDych(6=Q+8Mmy`jZ`oDof|6|qU-vOil_8rDw3;zd8 C^pKzc literal 0 HcmV?d00001 diff --git a/sections/astrophysics/optical-atmosphere-effects/halo/22-halo.tex b/sections/astrophysics/optical-atmosphere-effects/halo/22-halo.tex index 44f5aae..aa5ef97 100644 --- a/sections/astrophysics/optical-atmosphere-effects/halo/22-halo.tex +++ b/sections/astrophysics/optical-atmosphere-effects/halo/22-halo.tex @@ -86,7 +86,7 @@ \end{wrapfigure} Яркая окружность вокруг Солнца, угловой радиус которой оставляет около $22^\circ$ в зависимости от длины волны излучения. Формируется в произвольно расположенных кристаллах в результате рефракции света на двух, следующих через одну, боковых гранях. -В зависимости от угла падения света на первую грань меняется угол итогового преломления, минимальная величина которого~--- примерно $22^\circ$. В силу экстремальности этого значения, наибольшее число кристаллом преломляют солнечный свет именно под этим углом. +В зависимости от угла падения света на первую грань меняется угол итогового преломления, минимальная величина которого~--- примерно $22^\circ$. В силу экстремальности этого значения, наибольшее число кристаллов преломляют солнечный свет именно под этим углом. Детально расмотрим геометрию формирования $22^\circ$~гало. Пусть~$\alpha$~--- угол падения луча на боковую грань $\mathcal{A}$ в проекции на нормальную к оси кристалла плоскость, а $n$~--- коэффициент преломления льда. Тогда, исходя из закона Снеллиуса, угол преломления $\beta$ определяется соотношением $\sin \alpha = n \sin \beta$. Выберем место падения луча и угол $\alpha$ такими, чтобы преломленный луч упал на несмежную и непротивоположную боковую грань $\mathcal{B}$. Обозначим угол падения на эту грань как $\gamma$. Учитывая геометрию кристаллов льда, несложно показать, что угол между нормалями к $\mathcal{A}$ и $\mathcal{B}$ составляет $120^\circ$, таким образом $\gamma = 60^\circ - \beta$. Снова применяя закон Снеллиуса, получаем, $\sin \delta = n \sin \gamma$. Окончательно, угол преломления исходного луча кристаллом льда $\rho = \alpha + \delta - 60^\circ$. diff --git a/sections/astrophysics/optical-atmosphere-effects/halo/pillars.tex b/sections/astrophysics/optical-atmosphere-effects/halo/pillars.tex index 1d7a008..e6fd83f 100644 --- a/sections/astrophysics/optical-atmosphere-effects/halo/pillars.tex +++ b/sections/astrophysics/optical-atmosphere-effects/halo/pillars.tex @@ -1 +1,14 @@ -\paragraph{Солнечный столб} +\paragraph{Солнечные столбы} + +\begin{wrapfigure}[10]{r}{0.3\tw} + \vspace{-1pc} + \centering + \includegraphics[width = 0.3\tw]{pillars} + \caption{Солнечные столбы на восходе} + \label{pic:pillars} +\end{wrapfigure} +Это узкие столбы света, которые визуально исходят от Солнца вертикально вверх, а иногда и вниз. Их высота может достигать 5\,--\,$10^\circ$, а иногда и больше. Солнечные столбы не являются вертикальными лучами, на самом деле они представляют собой отражение Солнца в миллионах кристаллов льда. Иногда они выглядят как несколько вертикально расположенных световых пятен, в зависимости от расположения облачных кристаллов. + +Солнечные столбы формируются пластинчатыми кристаллами, которые, дрейфуя в окологоризонтальном положении, отражают солнечный свет в вертикальной плоскости. Высота столбов определяется зависимостью коэффициента отражения от угла падения света на основания ледяных кристаллов и высотой Солнца над горизонтом, суть углом падения света на отражающую поверхность. + +