From 44d79b97ca93888f0a83038eb99f536a57d38ac1 Mon Sep 17 00:00:00 2001 From: athomps Date: Tue, 10 Apr 2012 00:55:22 +0000 Subject: [PATCH] Updated doc page for triclinic cell git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@8004 f3b2605a-c512-4ea7-a41b-209d697bcdaa --- doc/Eqs/rotate.jpg | Bin 0 -> 17991 bytes doc/Eqs/rotate.tex | 26 +++++++++++++++++++ doc/Eqs/transform.jpg | Bin 25010 -> 59845 bytes doc/Eqs/transform.tex | 26 +++++++++++++------ doc/Section_howto.html | 55 +++++++++++++++++++++++++++++------------ doc/Section_howto.txt | 51 +++++++++++++++++++++++++++----------- 6 files changed, 120 insertions(+), 38 deletions(-) create mode 100644 doc/Eqs/rotate.jpg create mode 100644 doc/Eqs/rotate.tex diff --git a/doc/Eqs/rotate.jpg b/doc/Eqs/rotate.jpg new file mode 100644 index 0000000000000000000000000000000000000000..42b46bfa9ee73dcc9cd8e09b5f6de36691b5fb23 GIT binary patch literal 17991 zcmdtJ2UHVZ*Ec%!-g^h>UFk)LsB{ql=_S&n2Bf!;C@LsbQ9waOnuwH0??k$Qf^_Lk zdJ766kPz+aK21WZhY+;^p>T$f$);Thr%03^4--EJNs?l6$90ci#I zd%>X~{R^ajM1|fgL9~$$oF}E$R0RR~}08rDrx(0iJ ze1aST!r|^-;CbjSg7n1z51#;#z5~*_?%u8*ApIVsLYt+Af{NMQj^A7{p>tF5fs?&Q0SX+VLtYGH{t^qzk z0N@G009Qa5yyw>eAk;GwTDa_VMx#71jgqlBb-oae%vmoUqcxOG`CsBc##BP+fI8blgR`iL}@^c877X&Gr9X*=lv z={V^k={D&R89+uy#z`hZCQqh8c8$!O%z^AKSuh!bERigeET61`tck3bY?N$~Y=`WG zoRXZ4T$o&*T$|j8+?w2-Jct}Yo=l!i{*k(|x5|qC25yrI(?0fFF{1|~k}-#|j&X!>kBNp!oJo(#g(;dTlc}0%h-rtJhFOC78nY`if;oq| zk$IB&h=q;i5{o$tj3t@n6H6b<1}hb-1gk!)2kRr&0@hB}6*e+9QMPMr?raa)3fa2Z zR@o`pCE1PHec6-P%h?CnF&wNMDjYT(ksLW3tsIM-WSkP5#+?3~X`EG@6P%}90$h4r zo?K74D!4|tj=A}`uW);ECvu~>$GJ~=gn9IN{CJ-8)bq^olJm;&TJT2jzT@rY-Qi>B z)8=#MOXREKo8~9wm*KbMkKr%i|HgkLAShrca8Ka1K&QZtAgACJL0`d_f^CAELTp01 zLOwz-h0sDBK#soB4HwVB7-9M3z8SCFT`CyU6>Q471a>EEBaEj zLlh$>BxWWC7b_K;7N-%{5cd|(67Lm1mXMUNl}M1Nm)MZxmNb@(mMoQ=m12;BNCipd zON~iWN^3~_Nxzl;Aww#oD&sAaBQqpRDyt^zBl}i%SdKzYQ!YR*Uv5&KUS3Z=T)tF( zNr6-0hC-Y|y~3WNn4*K?bH!do;ziYq{uc``&Rk->WO6C)Qq!g1N-|3BN;yhn$_&Z| z%1Gq~0WY-O^Cte@aXVtgX&(@ze zxM1LAP-=iNR5gq-{9;65WNP%>Xwq1~*xk6q7-OPt5^K_BN^fdqnr*s#L*_>CjV3cv zGZV8HX0tcNZwB0~HwVm(&0m<$-IBZ&bgS8d(&Cmyj>VegB}=$vuN9jW)asKJ_V(4= zX}4#rrL4oOJ8YP2oNP*Lj%}~orrR#sDcZ%_4cPPA``9-)P&wE*d~i5&)OXBqTy;`) zig%iDmUNDE?sMUF@poy3GC^IT)pscF*xvbchu~`Nn(un#X6*LH4dZ^zJi zk4;Y<&veiAyE=E%?{0YMc)jr2^oDq6dhhsL^U3x(@HO(y^*#18_bc{0_qX*&!Kh(( zV2uH+0e%5pfr5dNfy4J?@5SF+4AKh92*L!L27d@432_c-2xSL>z_&1|u*YFb;kw~D z;kXE!i0Vj|$biUiQ8H0aqt>GhqKjh4W87mp;3Dt`@TFM2*gOOY!VS@Z6h%HluHHAi z|M3Cs1HT8~<1WUf#~nVjec1F!;L-g@D~}Bym&P;32ggq)XeZ=8A%EiYWbmo-)7MXl zi5`jlNf(nclL*P~$^9vpQeLH;r`}B+OjApH_l)vcz_W?xkmn!MS<<7^S6-OCsCy~= zGV$eM1~j8DQzbJui#97PYw^{MR}HVlUO#(H$o9@2&$*g|dc*(b>6_!X9&bn9U3piL zE0CL%d-~qz{m(qZyt;ge{LBK%g7AX1LYupjkMir~4Hfbgc_>a)(r4gv*ypXvJCzevrd1u)8r2mw;x%t-*=iH( zNa~{MF!kQ`iw*V-!;L159ZlLzwap66#VsN&IjtP6X>GJ^kJ`@B(deTu_rC13d$q50 zKs#nS?K;Q0EV>4}O}oGL81!`Z>h+?(>U?eK)9P#N*XXYwP#dWGruwb+yXyDaLAAlU zA@!k#ADTa!hA$7djX*})N3W0ej2Vv&jNcp|p0J+yIq5XH_|xO(#+3im!F2dEe&+rx z#cbjn^IYaU|9t*}^a5&8ZLxLf`qH;$tL2#$_m%BmA-@Q#kJcF0GS`LHOE#1?S~d+f ze{4B!t#04j#_z=Mvh2RuliI7^bcG{GMyD>%Xu78Td(h_bveZE(QPwdjMej z0RXg&|KP`ejUf34^MdqW6!y3OZT}1X561l09yI_c_yPd7U^fB#oBIGD4t6#G0B&6Y zfZJaHQf1};=-}4BE#$89Kj4gn9>kcG4f=jUe~AkNJPfKL5? zaO>ZrC_${7u0#r)f9#NJz5jR1e{JVWz|#@5%lr4dNrP zozH+cm6U|!?>{N{4>mFivcHXzoSck;iV_3`AZnnZrlX;vrlqE&q+y_;rK6*#r>CM} zU}T_Y1WCHTC;59U*}smZprfXw2JQU+W;_1^uuucJq-10y7XVTg5;7K&^DaOLsqe-4kZ$GDTzzkGo{-9K#o2WS5a zUo0SBq~JXur~1nm32DS%##zWIL@rUX>RC{^2C-dGdO*#7^?6=pJB_HaC5FQ-c$k(` zOl3*@;4f?c;_Uw%V{!kNIQtLA{*$k1fS!y5ym@3S00cNAF|Ll@;U+ zlt>$~97sm&ulC8zB_)#4sGI|WxJ188!9t9gsTx_)Mxkh5 zx)}A1%-s{`qOFlFCZopIjJD${7i4~*$58D@)T^U&04H}2?Bp%M!jDZ4gmx(~bpsZo z0b;dH^*K&Y#p3LK78H<1ioA@|(YH+?(goo!%-(!nyvu`mrjpFgc|cG59$)ECvKLvz zBV8ob{6X!F^XnsVju(qi!3`)oT%;J6u=K9B5SMgiJkK#n!1P9Q>fQ)eVpGh@z{IGy zT3UFb*6OChx0j>i6zmp8uKMh^Nc7>Wc*Ap`-RT^-n>!`hlOE}Zy^kAOe9P4J%;fV> zq4-qmn7s36>$`Pz_F|8o^oLR@S#J({CW!IRE+*K^XjjhHa}(zaI!V|5P9 zC@vfBJj5h@$*p19IfnVI1U_sN%m^Tg;1GNa({J|@LMwO1b|l=&(jC^ndB33ueU>G~ z{Q0zWDXXiMYDK-XoT(d4cVz19*ZEGYGQo0GaW^+qJ@fbb$X`|))(?&Zwi=z^9^d>P zX8t|u@X#-GB!04Kbhxy5_!wV<{uHAUFs#oW&u*a){6E%htP@ge%xrsjvl42)dzmy& z9>zo}>>qxuScw_n_EMr2&t{J3N#~ZJ{ssg}V{VS7IKb>k6Qv5Nx`i+R5)qVp$_J>S>s1tw9r9IED!u_sR$E73Zz~W2f=kT0!fPCrf zF`Nn0d4u_T+0W@SbXP=Q-&n2Bf%sT=(`QC_jpTFwpww{;vEkBaj;1h0QL`Q#gimfXdrP%OwL88LqRm`50%d=?M^y)248Q^!!oyBM;~YKc5pEY>G`H!jm?cbO+j zA%fzP+?~D_X{U?ih+Cle&NitQKLO{ThpxoFMNPNIxFauT9;^L%pDw);d$Z43z?{B} zhFp+Z^|X2=7bhyY^Lk~7YAai<8m|TCuC5)271m|Ps(09Eh0V(J>v;#jmW}TOy-7&P zc<_tG?xWW02uVXNbhb+H?E}JDp6PGo{&w{EN6u9;UHtzYM6e0jBWk=Zjho*ko_A{O4&8-4%6o6GJt zgU;ai!0Bm2`~>b)>`eioassuNrH;rQK%nsGfr(Qco%PcqHqMkANtI8?D?%P_W)r@i z0}o3eiv{3>pA5r~~BD-Fe^ex9Iu2*Y!T%X!8_e(@r z^5_W_tKvXCPL)L*XcNPA!omdSJ+ zAq&6$qrBxB3in}6Lb=c?WdSp4*U6ha&YuW+fFoojpzB5pEIM;DW7-*1PmrDqZe?}OuHE{ zJO#0bsDyjwRx_shU2V((7h;?fBM@Qx<|I7aqE~2N%tykL!fK6{r-9aJ|NCa|^zHaQ zNcf!Uag?p&rY9`WPy3C%(}z5&mTafVE#jp5_ROzv2vr-uJ`yhz>DU2bKm7P1K9JVI zhqvu@6mOGOj!I&rxXU$C^#Vq{HMBN*@d=bA4DwSHJBI7UQxcq7TN*~;TtSLSM2>mq z7dhWaHy@#VD+~wSd@`zN2F}Xvi2{iCIJM(jV=W>@PLWOXd}a>IgFK3Np1j~!eo1-V za`qYbXP$LZv;<^vRbvn0wlE!ny?s{M!bX$2vecW{`27lTuC(f6E|t4?Vp?LL zJilRmv#9dTxZKMHx#pOmIV5&x7xlX_)L&}UvLpEFZpY=}{k?MAvsS+14_i8Eli4zL zDP<101f!ZU75kOO>bA!U@@v;JGSzSO_s7IhLsIO^vV+27vUsG$CffDcEx9f9*@6GP z9@V=mgtx*OVjX@Qn&v*u;;M$?imel_{RoX!o2od{2|l&@-R>9grjeFsE|pcqAj0#O znSkYf@%N23tNNFW<|mH}S%UW0pQTJvlcw2rcJ8 z+(kJ5k2U~QQEteD*#))!0R^@)-{|+=Sm7l&wog~ij zU5U0zwT|2a!SF#b^A~BEsP6#O$iwII@;LlO{Y|rhX^dg=-j#>lNEL9Q4 z!7USh91}{+by?dp8+dnmOlVtKKL>u25osP{9Emg;i?U~QSbfaPXi-0T{_MKq5be1w zhiU`rYdT$z(n}i?dz#%X_pJ5qN^a0fmA;&v`}J*wLxA;i+EV?FJ_f&(u&cL{o7{Bs zZPZ7C(E;J2z00=N+nIS&S5I1*qLe2HdHE#CSHrz2dl8plA2}B4BzMd(cp(+P zMRQiH<34)z#AoyU&z0W=))c8fDD8gbmV8u=y)fFPWi}p<_JhT`$Fj}L&X{v&%08Jh zsnWVAlJP(|?xJ3|ef|rl=}U?c?u#0b#d*cY5E`P!JmJdO>I?f`Dl4w{0I%=7JOg2klaJ#OYgXfm08ccV^nnb3Hdn?g$QUqIXymk z47UYs7!#Z<2@AreI88#}r~sYQhL$8j3|m&xm~N(fz1g1$TM&Q!R1;Mzn|M~(CZu-| zhz&p3e;md=;fG|!Mcf)GG;nU8i1E1~99N!;-asT21-qk;qEiB1_>KFb*@`JgP>iq& z)W$J^DF?Z@us=;{K5a#$KEWtM$6SmRLwAA5@Xf;5!J%SP@zgb)0r@KQWy0*_&!ZC> z5FWY0O&bmj32fRuE_`FFv-2zmyR)|p?(uSa)zsvWdtL7L(xE~$Xq?5MZ28AZP5gEp zpg2}bzttGQaE{=STSP}xV+~q3KT-A>C_?%7|ND;0MK0zctC8KPX|ko;DR>@&_kmD{ zBA@q!dfTJ)K9i(dIEW{Rgq1*qK}H)s;3i^ChGkZw?PQfcB)ZZas74D@`#s|6Ex$x}F04 zj;FWzEc!_^=(%z~GV~E_fD9!*sd`xDa~NT~xfvS`HJy#$^_Xbd9Jim|uRRUZ=}DCO z$Zg?t-0d9Lh2X=5ltJO5Km1!Pmi-*>#;O~)jGY73!sr~Fd-`^NR-e@zp}sc{1v(E) zg-CzMsVeI60xo*y9C&#fRh|G-h;`S8zdZ*SMDecYz;HQS;T-6kSRmx1@^$HO3El5x zaqfj%Li{bNA8?TFh)dPJyt=t%NWYmWjd0qMNY{k#{SK;hPnwC##66A6QG<6b~P zWJp7??-gqj`K`hbezo++y@!dRs->EaO9`{T#%zhEgKZIi^qr-p&HK|1Gt->^@f^1JBmY8f$C(Jfcx!+15SktsoqD_6#*_Z z*W<4KlJhRgxLuN55_ARu5X5%Y|GjDPyD;Uxu*paP`Zz>}2#t zgU@rEGjZx7abe*zq*F0*OEm4)fm(WLX(uncW2_04U(DBWa}oV6W!RAQbj)OZq+7=y zGfdlCzh%?fF;!}L_r$GV673;UR|L(_9Xt;-cC!iF;M3$K+JNcZSvfdvkJk_$)fFOy z9vD3SpvThhcqJu(=}8r{sNrtjWrr8wBu z_ZtsDF%6re^I0K>sfnK7zlDeYHVfb8w~&swt3mtTBR%$#%OyM$vi&N84cTr$L=+5ec=n zItR92j*+YgA>U}hgylfyNUeQ~Cx(L6c{#2h?U>u^I|A~u1!mpXpZ3tKTuxDB$7K$* zBY4Kb(pbO24tFIc90y9S!$cCLel*vOQRL7TF6l{rmS~GU2NGI{L(oH=IpmURDe||t zw7B?Pm7TpbZJaVF;3mUuq;U9wV%I|aIZ(s2D-^h*$Uo~a8~N#Xte0T}lr1**N&1%L zNFs$bh;msnY(z{B(&}W_(72eP9nhz|HaAIRbErQDF4!7kUJz*^7{8U=E*J7kWssl$v|vGixHO;9LQD3X#l0uJYp!qZ1Yh~onqM#s`_&vB#RhX~LT~T?(dlX9 z1n*i#?MaI!I5#8Qwrb+_UDfzp-;OKySe-3L)I_O1G8!HCI^aK`FC!PXZunZ|FP=`t?kbLLx0_j^Xw$r#&!&k9F`%8^$9YGB zR=pWRIVENfKch6A8xZ_Lf1JhU&Z8;%ttVzhgQq*T04fIRJ*t|iP!vuSy>q~^acg&R z+x|X1(}0MVOYY9+mD*UCONFk}&ukQa=#N*{1Dj5(`roLpgiKJHL1WbJi;$08C(=@V zAok>9j2xj%sBY6K!~iOCz)nx6IHB-2Z|K+GSWH&CJ)V=LT&N#(ygAV-xf-v75W@+ zw$5m68RMfrI~XWtC|<9PooQ>;7DIqms2zg#Mo*U^+hZ=74RD`HPns1Jvt|WT3E}|5ZUX+o7Ozdt(o90?$_mweRl3!x(aWBUtI56&F`6`#pNlfCaC3=0`1a^22JOaY zk6dhlu&AJ>uVEi&43E9I5ybBh5;H1ldXA}VRrcG7xKIBhN>?f6RC&wioDxeQ1TD5q~5=Rwi>Uy8I9)_PZRmHZwt&l%~?eN|ppm=5cy>`U1~}7>iclEyqj1A-K{-rHAGRJxP>> zuC|OY3C}L(7S&l^T(ikeFTH4bm&`^HB?PFZ zvti$MMZ#W&n*Mw;A2~~$j?b74EJT(aAp*+kJKlXPG!^Z)K;6wg@!6XwSJ{*}bH}Ls zxbI`vZAEK;$B&}iB>ISX+hubC?+c~x_+a8ZjE|COh0cI#4C(FXG`U;rK%^8n2S%Ha zr`Ij4Gb&X_h*6N%g+H$Pk-fX!V33at2fEzkD>(b&$RTXofpVmK=V@JuV2Y2H&$0TD z>Oim919F>#=0!vLGP`7;VbF-`r@vzUxZIt_&p~2bEM=7q8~vTae|Gdu#?_j9{>*0W zP3bnFzT&{N%^7ILyUsF+Y>}hOy*tWf1f>JRc({BZ!_GU#F}P%qLOH{mptRcAqGgxI z4IXz!PFzfcvd?PTahR4y}e@nddvME7pUN`?oLIlus?!?tG!!_E5?<8HXu1Rq-Q{aB7k5x-CW@(|IzmeN9{CvpasA;RL zQEaoQKF0a5xjx2aK>x>TvAFGV>8>BlKXX%dyJ$C}bPG(UxOxBAoC?REdICEec6S2p zwm?0D?5M^`A0(`(KRs%eZB!|RP~s4#c&Q2znkpTGO=YY~_%r4irwn7YQjTfF)BFz> zYc{QkNfr^l>wm`aV8W_hu1ytw{R|8m<6)6{ZL0OVjb)La1R^Yl%ixzTb7_TocGuW2 zZ$1poti#@$5i#~ySU314ZYd5`JSrg4_~D~)cx(sG*3%Vl4QI#YV$zmxJ}tVY&=xkt zU|#GUaZE9-G#%D8+lTgg+T)8)` zzseT=_{Ac{VNE{oE%Z4k-t2ehl9(QtF4fg8%?L5$k~*yXILrOBdmdiC=j#v@kUnE9 z7kuHXHm8B$`^j(T0A_2574)bUiIYeiBOM5f0PM;4?T~c(NWJYjta&I-nt)IzQ!Az_eNqS|(LF zJvv*a@okw|#vXV(L^6(GnyRr1Ya{Er&SPeDcNUi(P@PP!LkYaNf-ei0o8`zQ#K#Xh zA&Zk;fh>{NtW#c=${oy|oCv>YcYH8Zx&07Yka6;-+};V<4hEnXONpWfgJ|;41hTVI z!HyZ5aXldqOklFB6**I=2J?(BONP0|uh?Sm;KbYMiM4mp?-U@|qp^bHX$$97vGR(? zjxmB>Sl+DuK_z@e;W^OEd1{X{-v!-E@=@F$%p{R+(-m(Yskrnu4a|gMVl}ATvEX+K_s+`s6Y9rgNh>VCy1QU*A34aDz z+Dy1vjf1!8jP4$7z=YG+%(ZVdJxdaca@hRp7*(ML62p@o{3~f%$^M=p(j9;-cHs{2aN-2$gHt6! z+~%}9qHtCbCBDZ^^-se@U>|&rrBxq)FAVAC+xO?5f+q^h<-B&<;p*ehnRpn{EiiRgK1e z*Ld$$*E@B=0})y`h5@md$T{X`ZnHB5ctavhFP?2v2y=7jC+Z87s)Y}!P)_x5$3gq; z)$5nuUfuI?iFw_@87S}Kzm>9#seS5Vd2Y?o;YEqcG~PR&?noju{EFS?94>d9KBV%ic7;_iLh%|b1WI<_VZtJ zc-3V5;7p22q_S6Q<7F;%9gx!%ILk){`4ktG3W{I@a`kKIKEV0I@uT_v-Nw`xWD$3-75P z_g6oAFV)vWfk1%z=W{mQ*1~7=6ognqgB?NzZgC))470RqC{zrtdmqp@_s2nVDA+7I zm%z!lf_hRb^yo8UNT}*59@(>ymic=lIyC4PDn8V!D>}12x?eADo?2j7Nc)|S=xxR? z<*_1oCE`#M(@p_iCsKK-z5|ynPu9+>-|KKJU~QRpYl{&K%^ z+Y7bm*Cx^OWh>-Oe&WN^k{mbLH_G?F5z=p7I$B$MvA_3$D317*@+H1~s5S^qj`o5A zi0`@rEyJJ@L6YOFzBJv;i#&Zi{_a7MUa?+K@RIe1$R&N7;EzcS$xF9GNt?A~Y_dK> zO)20j70C8G5YJrtZQG_mFoNg}c@(ad`8G(rXuOapQJWeQ^*r%%AWv-jLsIHqa@*nY z6Jxxq4>Lgm6o4|c=K}kHpZ^cIK8CV%Y3+G|jmNurfvaX)H;w#FNdrg_mIlj8(xWw{ zR>hKq6>Yu>#_$u^)?|TXCN-?DMI`7qyp z;N!x=T>pjo>bj@&>1Lw!w26t|>@a{tOXngJfn9RZYu9?kxJ47MN^rnXr5({ z9_skg%{(a|ALg|&`uXfZQHrt7Z1hCn?lInMTd4ZDJKc+ogF=6EMs@q!aS-A7#iLHlLYPL zAEH2Ao(ioVy}2vOM04eRrPzIeFZ@^l&;d{t+sjNib*gUjWiZ5fA?r&_Qqq$Oml>1h z$~oTq%z7W4uYSCz^{MAQ{$VyA(dq<`3bM96&RvU&LRopQ}+;@LUiflFCQ+F2!ZlXr?`&b)t4`!d5wI}f%;Y{eWC zX}RzY=+2rtTrr*=*N70l{?5wqL*zMdh1lNol0GWeFMXqr+&`)}>(Z^DEYaL1sR|<( zW~>jsl`HV(e2&12tePxsTpc>J4t*5z3rt3sVzqE7OABf5)NyC{NME8L8rQt?U6+aJ z=f=FCkB|Yz;2}9m#UZR_#EOTnWdU;W9m7BS`VM!t(%(> zk#~%)2NMKhSsv-SieueDnf*J(B;;rHRLEVhB1S?e6^$`tE0{v3s!ECAN-^iatwyzINRq2p zr!TgQy}Y8B+3njG*qZ?PKUr*NrTRA@5d#BQB;P)QFo&?I&8R7{7+bfTHkp443z)5M z`qLZ{U@N->-adKG0{l&a8IECj{}J>vQ~UGfS481RSPdS{XSO1sZJK0YKW|h~J~9|# zU-)V!E%S;s*U+GGnqO?Y{`JLA3ihzcp@CCE!p(xhlLEB4d>|4R^Nt6!WO&TY;w7e^ z+wHteUFMJK&H)-lf_$;UQ>w=c_B9jJBlDBT%$lurq?+`VJypoaz?08Y9JuYjGm<#o z&A`ME>CD6McEs;O)mJce4@$PGpj&MWS<4bnMtoUjXHFa*A^bz0^u84}z4zcD#j^r_ zSO<|f?9gaDX_thbCTcIVo|d;H=W*~dF$G4LcLp}M5o6w@eMti`&9Y*LGnWHc)zqAp zfRIE#eFw&@tG6;w-(bahJ0aQuGspjkk#qAAg1@WSJ%CMmH8R+c_4HdWLg z(#>WG2B6|Hs|E2LcKEDmzvlJj8OH@qdvm&7*;YZkgQtct%QHjryXZjK17#xp>`0Cy zm}m4&<8g3!b-2%r>mQ`^@i42ZOm_Ze@r3)tW>5KkFGbpoU&N{Lt&cyF=B$d5E=CJ` z3Z-oqnu&zT+37Pz?G@zC!J^Q#d&jK}p&Hw`7TJ|n#_3(f<xAYz*#fMJUncM^SvnvZ*<_86>{kCDP*iFD|6g9JkH2N4GuyyzpBjdy_Vmg{8!q zEeGO6>RJ~ePmqj6Ir9&ZXydV36xX$7MFwNo%J&#YgYXj})-%Zj@Y zP>_;wwV;}zhTERyLcE7K5kqa_?_z$6)!<^`s`9#$1n=#@UuUK)J3Y@|{ia@7oJ{_vKwwnLSlyvY|+-iG+Cxi;^+W-~6z{hx&o%ll=0 zZiggVju&Q}PC*f8+V--rdKI6K#tj?q>NbB9>m$H)QMJl{pELSja!KW7-V+FsQSqwD zU3pa5I-h6UvUsL6Wk|dYx!{#;8}IjE9oK)`X`klV^_KUQ7<&0OCI67Go_q50=7FrT zoaaHqN3UQm4T`6GzH@&|^uP{%DTE2KLHpq$#2M)4z#b&?!nBVT0ml8HzgwP;Qj>5h%hvfyQkBRKmk z*VWW|T6{WTF=Mm;W+Zk^X0SbR>9ejS%~#WGRiE2Q)yd2FU2$Xv3ej3Cn93m{9wyZn zd*FjmtKK-$RQ!4ETFY5E;-a5WtzuVF)bc3dn%gu}N4eI$PP}3V(e3N>)0DQ=o)Q`H zc8yv2f~sqA6-*Q39BnPZ>su_PPz+nnrSLuVY+8IXApfRR z2#7-jx7=-w%ef%;aX^^9?4sU=e#o+P(^#>YwzKMSfiH(niqTl@&L}=@0D@CqUyh3e zYi}q53#8B1<62xlZQi&vZ7y*r_~snwT{_ytF^z2z{J=-w*8@^zzI%fALJUlAi9f(h zCZ;_N<+E{Zb7WI)Uwcg4j5CvOZE4Rwds#6(YF%)%#`U|Pl z$0EE)(XSyq8xSz-vIv4Rj8)pyB=*%=kt*GHgX0xvG(l2OZpQ!4#kxE&Z0+w8FTdkr zB;4}2=icQ$wzTxmdA_fnjJ!B@$;BSNY}9qx$vONp=}?;f=#$~{oWhoTh~v_?Ceu)tZIai(R2|9TM)nPB(i-WA?8y|YVxKNI)L2Lac`GUPNP93MND~r`DKDurh zvLV%|Zz6LXZZm(@8hxsQjgXl?mfc0lMxX=IhOTXD{Z5-6!ghfv4X;JKe8h6aiPgayvvS_^6Ub)j2ufr7u{2FnNicc$ad2mrg<<9&WT(s49p2xW&a4_ul@F@tx1E*PgPS+O&&^?O$j++&gE~cP?jL)9lp%jSFizQovM0Rc*QFKV|o+B=%=bca+W^VOc6+4T* z&`e$meHD-B6z7uY9-npT?<^t%^H~d#j@SpOPUzm1#lFK8ETTw!wNOuC3T5R-b2hS) zO-~#$6uF!XG3-vEa~u70hm&9vk1L((d~Wlrna$1`y(}h~2N@{XNKkWZO|z*${OYI$N zmF?y4*pipCQb!QaL@*J*zH*qSQQTB@6s_3(wm~SmR#Uaw3?*JVQ)TYnhh7{+JsOE* zBhsiwEc3PFhXinwmg6jgG~P=_ay>Vdk9R${%&oSerD1=d1eR^=-7G9(32R?Rtno70HhE`nXsS9l?@W5)<{4>Gijd0&c%tm~KI1 zBo>xpz=CY21f&1Ga<6|=sP*s5#z_7aR!~TcfK?R{L`KFl5C{3#+3pCE<7NU7{E>sJ zx8y9GtDd~ijF7y4dkRvu`I{FkuK=?zi)B!ZdATT&)(_7R*}LS@_QSzb&)h6F~?1Od1-)r#F*TaY!6K&}xiv1Q2 z$i-VwIL{gc;|LS&g4PH2LLM$u?tf_wxiK6_uvf`tx$J|CDV8Yp`{3Q=SW;_R${C8k zZmYh=@zY-K;+=!+lVc(%ARxRbKLdkIK50Lh91kRWP|5E|aES=!vNpM@5fx;7dA`f6 zA-`up23Xfn<0W#PV)fFKLF@x6a#Gz%Oag)L3@?gfS~hsS!bC@q^uBCS2yHK!-b!08 z_w~zo$HQqiHE%khB;`H&E4JVI>NDHKW90NGRv8zB4}q)JW01So-kUF*Gdj9dysrz| zs?WaXW21TDWPZ^5-F0b|Pwsc6+S@!exO>XgWdsKm=V7hkZJ9n%Vi`>h^INBWG~KrA zNLm}`>4{BjbD(3hBn*b?Mq~WccW1y@6&PEgrOsx&a6tE_*J@MYn#SEsJX4@I{zxjnfSvoaZ) zeC+}sSM_-5j&vh?>&X|r5^b#&v-;L9E~9skkE)tanwuR4@_G$&3IuN^1-5Sfwy|w% zef~Rvz~P1cib?yj|ELnK)PlJ!#G@+?_e_LQb)f0TS#1xLwOGWmT-)sA+?-k_nQAR= zzll@QWjcF^_A)~f85VF;d43BR3mTOn!ASLGm!}^hEg?x4TgSiPtb>GDHqg%|hJP}HbyKx9>P zekQR(ow>QXHmLT1YiZ))LByBr`o}~mA712>%i1W1KF^PvlNdSdIlpS4|PE5=1&%P>dlPYz)UOMB(JyGP%znRK?m z*aBnto;c`B?G*7>y*d0Ivb>46yZJ^ib=zgg^k{Q*6;b5+DMq>@WMg#nD*>$7c_<1K z&Bflv&5m}Z<#O65S3MjVItNgvlb1lX`F;R1+Rh23Xwh4AY*jZndoNcTpFO{C^5X0G z@`z~4ThC0RC!s8J)bw&Vk>q*%WfS~4(6NAlW$kz_x@us|J5r#Ac$-o6pK#=|BT_pc zd~d3R;pgnnp&Pjly9jb*J3YjcX$rkug2HTEdS2h36&TROn}X7-x4L-@5$Ys50^*M7VF33SGyw_>Pv zG*OYg-H^(J4rf#BbPU|FBBOw6a55(_ zT}OAab(89sp=?3?ZB&$Tu;i-ekOKI8ME405nlxXb1<2kX7Ud^)je!NV!2i=-b}a>r z36D~Nw!bhMxyyx-><(NUm*#;DHUD}8iTxJUAfz5mVB3S>q!d~)D~7o0 z<;HR%E6&PJYyT;nha-OVpymMPClyf9GF&wwO=g6N3J}*0zWq^jqe0lzj#bvfXgTF- xzEsD1egN2zKD^cX^LIH4nR}RiNVTu)HN604DbzatjT`pw+_V2Tw=zQ^(ZzsK_)|KEGO7uVe9+}m8|eVx~Ne$M4S`F?@{PF*%K zF#;$kD1b}gA8@kBOl@-Eg7Y;?b0d>0hTs7JVA^-NckeFcDFE>C4fMA(HaK&`&i)MD z4}b!o0+<1AfX&4<;NJOb*RBBn(}te_&j#D5+@E{>PfzgnPJ(yu`Jtd9@k5B(XWrEdR+ z`*{2Z+QsGeKkn(`;_(mqZ(hJF!5_Zp6>#saOW0pu{yRT>?goL+>#z3bsWZF#T3dlz zcCZTo7XUB77jOrB02km4IOi7uAkaM&G2*3&O0z!Z&AO*+)N`M-m4d?@gz-7Q3xDMC>PJk=m2|i>C^RVaC=4mCP*_sfQQV^Npzx&#qCir_P$W{MQDjrRrYNO&Pti!x zLD5e!Off~VK(R)#OL0U=MafLbNhwGvL8(BgL3y6il=3>IBc%tWA7wb@L&_(V&nXKi zD<~T%J17S!$0;$C81yog3O;mkU zqf{8GO{(A2wA38bXQ<_ji61U&84lT{YX1Z zyF`0HM@Pp?CrhVGXHMrr7f2UN_kym1uAOd#Zkdii&qNQUSE4tfx2N}|kEYM0FQadx zAE95RCo-I35NFV0FlTUM2xCZLC}L=07-CpvATqKsN;2v)UT5@Xe8Bjev5K*W@dx7` z6BCmNlO~e|lNZx{rsquWm_9KrF#Tp`XO>~UzeHMF` zK$a&gr7T@6b1Vc_4pwmn5#%|~fT4%d~&#Nb0!j6zMGKis-uNzShO)ozc6c z_eu`~6Nb6K3Sf)+qWW(7Z}eBsOP}{XUvYlh;GBWKLA}A@1+5E_7d~F3x@dec;o?_A zc0+5!Y{NMt5hD+yawDvU?lq9xL@&x*s! z*{aM6f8F4E%Jms*DeEBXP8*2LO`B4iL)(kCX||Xf3O6Ee4BGM8dD(rir?a=Qe`9~( zVCazHuzXYXX6(%gM@h#}$9^Y1r@KzA&Jbr8=h|B|w`^~f-6FY|yA-$_+%~!W@;27> zf@_xRhMT_IGq*K&UH3Hi)jPU(((e57(Dg|7So4H=W_oUVUGU2G!g*iv&i6iqo5M@s zCwFb{R{PNV-12GkW%q^qb|Zukp@`voviD-|Vf?iGGW@Xqrv7gNC;}VIm0}PNXpM0dgVoeB|pWim2OB zohVV%L)7wp+#ok<@guzj^oD0=o+Uin&v4G@&s53G&tl99%ECOq^8CXKu@_HYkg`3q$8!vFs$UAcjDLBU z>y|r`r=M4qFPNX0fAq@h)%VxNuNw*^3Nj063xf++ifoGdiZzN$-|)Rjd~;mlTY`CO z`L?@My|lDUpe&`FvOK7Kt>R|Ix5|r^AFAZ4URQHhC%yyT1-)B;f9w53jcHA1twwEC zop{~LdXD;p28xET1}xeWjrm~rVYu;fV`r0gQ+>01b4iPEOHM0SYf2kq+rze#_VD(D zkM}-qc6f9wbvk#>blvD0>$d3r+GE=Dsn@8ttM7bY`zPH`E&W>kjRP73=s~r?hR>>> z>%XXessF0>wP8qo=)*V7Z%xBG!)+t5k&e-eqrGD$V}s*Y$A>4ZC%#YKoWy*0`~GX{ z?i6l1c$zqK{|C*FgxOQGnR5bj1@qGL)fhEQ>%zr_&x=-zGfS>Z8$Sbnl9nH?u&iXR zLRU+FDgA0$Gg|w$?y$bRac_gT8N0={^>SNkyKYB+=QH*Ob{Xf7JK0Uzbfo9U(#K6?Q}T}!pOce&F8(fmVF4=elk(0T z0N5=702Vs{;P?grjI4j-$G^^?_#5+r^dA)Vr~hgHh5j33{&hqR017_>fGyZBgZ<@w z01yW|2LJ%q^a0@dM}SgU`5ztJ`=!FWC6Hu80rP`W@ZM+fJf*78VYt0 z?f)4)IDQH~5Ci?q$z=-uf6$f`QvY@iB>=>E0e`^KA8tV`{#OJ2i@(1Ay`_9b`R`{? z(Z8blcba1G&$%ZvAWo&Ep!oAo3I2nPiiYY>qot;%qM@S&K>>&w=;)ak=;#^gX=xc) z7#NwDn3Ca96Tub%WwKPohwDh2z|Nq!dJ_2m?6oXXsR1_irB^w15 z8^uXC00lXr0YMtr{$lM9XOvXbG~kH9aeyb(p8|(ZMMVh?mWCR95EPN%ae$hQhFw_k zJS~TX3!R7`r_zJe*Yu(W?>o3Ghp}SHxBa6T7`b^)^YV#HNJ>e|sHm!`YiMd+xM*l( ze97dp)pctdTM(YQy1C!+@bvNy2n-4i2@MO6dH5(c?s0rVTKcn$%&g}xvI`1}irF4sw>aVqR-0t4~0sfHi`{)l} zpilQVTmRtfzwpHd@G0X5wpz9=X|{xHr)O(U#G%YNR1&c%;IMCk!Nr$OrL_ZDYNq(;mTS>k ztIzJlmv1XD|BCB!;vd~#3X6Ozs5h;RsCP15`SD{@zs;@sLE{YXosa!u!;mO}WBHN2 zhMi$uT`NaQr_ILj>74;0a(Z%Ps7%4akQ4a3D=qr@AjFWsoUW|YM>kPo$GLtvGR4ADtq_L)A@UX zOJ$nNY9G1rT4Wz7T>fipZMld>q_A%=_xbx#iiBj`!^l+pvO3rVi1i-Af8 zz2xY;q_LLMxT*L0rj2#j&kQYRf$W5X^m?*w^R7`{qh@0nQd;epy?Lg!qUCEfnWdkg zxCl$sV{x$t~xZ3wR6` zx+#k79qrENmk;9IR?Q*QMN%1z$VE+65OOS@ZN(0n*HiPp@z>{-Db&1U@g>BWwvEdR zO4-I1>fGT(fi`u7bZVJZCA%;t(PPl@x06uwQnGtpeNOyM$FEVCwRwiM6M&7O5qkoB zJON_TLkqhatTc8D#uN~G{c&S!w{yMo13h|D1i=G$VWGNv zC|=KPnl`7*-p<*<(Y_BZ*PX=@;S!|6c&bCpTxd^3Z^UXa=;^V$b9$cE@f(u*;yghC z)q_YN3+F9$3(+4x)#IHB_3{a9mtPEPF)p9ok5BCo$OWDL_RQ3q!x&r!3~ia z9kAwjIBt19u1%FNt;@b)qP9`tr1m0AFJocygX08lJ^R_U`Zu{^U9>8VnG#QxxTuv@ z#TI{!zCFw!FH2<2rDf&rkMt&MjJ?z{nn%eXM!xKl>L*s4Eu3tLGURDzR+x`D1b&pY zxl!rt{f=O36A8HyeF7M^4ezMTj6c!5qHI6k!8{Ob#@l~I03#4hS9WdG;fR!1zGMI7 zkkP%T({82(eU@G0S#zxb4ON<%UJE~&F$+g^onUrL*$27TX@XyR7ZyTMTGdATkn{gn4s)Y~%rc-Vquj}O&S zb>}=QVRFHykh^*zpWEx5_q5~Yt+H7MbH0B5ty_%CH}2_+z6KIVjf5|Y2nZRJ9IW^J z!xrd*n+fSWPGR9o%A-0KnF&$xiROw8{KAT&4$`tQ`l@_ZTS>^o-4 zr>*r~XLU;Ae91#;*@)`1_V9)T#b5_%@6F*ayiEfd$*mWwc zTa-Krm*onS+dN3l9-BA;CKov^Zp^c(<_xitV3R=*i2kJgqu6{uKOe@V7sZ#RQuTqK znLwZ}T&tc->N3Ku`jCrWE6u{86+%zQ0B1%PJC{Ni49ET+Gg9u2U_Ch-!-kuE1p>e zugUhPk~!z)4*hFK@Jd$r(yMuiFRE`8EA&hsKSQ)uMQS@Uod6vjsQ0nuM9Zj-!#p{H z`06y$p1>Oc?S|0IPruoCTXpyS*>64fO?l!^m$|NFO8K+OPPWmaI&8@Rc?88p(#7OQ zx9OR|yY*yiKD3V9=F@wPKt$q0monF>8?$F!h}RiZjNq1wp&_>~js1iah{t=x7v^3l zEVZ%WWrkcc448QM!z!i@owzwVOe$(;;Dt!q!U4W(P0jQ z4}IUW+O1ScmUT++b2?RTD15u-S$D;&JY~E?vgCs~O~vfv$5jb6$<}<|Y?4OO9IKmt zYgeZx3Cmo)?zWBjftZ_tX_sq1;JjQr`$HiS+-mQ!_h=WH z16!HC&X@Q4-qpd-r@_~lv^gGKzh*a;ah+XX6IL_d+iHqWBJjQro$qdAnrwsSv-KWk zhRc7zp}a2K`8w~BwyyCalfgZ1@LA`Lx~MySzccRhv_=HhlS9z+9*2q_>Yn8d8Sc(+ zH?_m7e(m!~6+EEfw9x<0-8MIByj`%m{SM+m_~eti6xxkB?U*j_tneop1*g9jh(TKcQbRuSv5BpD0yL_D&m zOC~dIs6`25(eaywV=7+^#%l#X%PX<6GQRt%^p3fL@g4Okt?)*}jt~8I1){1NrG~TT z3KC>4GfEZQ|3@d?J}&TuY&|*w=#V5?Z1G_IL>!i>Q`GuHgPWXytf0w7POIA5?9N)IU7$EngJNB(fXk&1Jm7!c`VnsZY|9S4^7JpGnUON+-OC8h+Xu~T7McMH4Zx*-F zdVvH<&{`K0__1`0khm6ej5CvWR(44=CUd5E6*cx<-$}T^i*gKzlNK^BzMR;!w|0G51|Y9 zZ_3oNY0J=mMo4}Ow6K-dY;HXP%G-0szA9d`aUS{AW~%>Z4d}s}KruEUor-krR{Av! zOWc=}>}g6|Z<>q?G#7w}o5uy2W}VJh8Sz1g*15>jZ zhT_^i=BJvw^(5g4nvEupm;)4pr{$o_LPRZI5m6LoGqJ_;EX3cKc5O8x)YbI1DHjC2 znII!>c2y^Ghw`TjTX7o$f!AQh!(!9+fqI~N;p%1j`tS_Vb=CMJD%`TkK z#P!kr{3I=Qg2Q#0nW!26-o>7a_k(!zuk=Rr>dNB%+c{yFonX{Ma8bbAAc>i;Q(Ksp zOmlZxyG>kzU+$$4cGC&`?eAdqnR}JvO(qO9Zr27P&-0ePCa%;m(JP9gg%-pDGO#ON}m&;uTB( z2!vFBh1}okUvwsDDKEV|s>nQx)WpIsjowYo;bGuJ+w3)b49J)p`jAA?s3Eq}3MI30 zV0pUo6Xvm3%y~lL_*aA;FRXEweeppe3i0LEQEJ`|4~Iu}rl*Tce5VZ`eR`sFFt7f$Y@&(52_V&}B|kfZxM~iMf95=8VOsSvp@f{FsTh0kj~Ys;xbHo*?}-6&nh!-_tD=mE?XDg`V^p zUtDKcAipEiQtnVp-3h>8yvXwU`YbJvDM}}x_Jsv0%R<^_PdO7YmqL)(>8?a9DUdkk zF(HXj;`4*$p^4pXRKr2KSMk@V=5Bs*WlkID(C2?K^&CTy?kJP5;$4pyE8GbBoQt*( z41XS=+K;N|KeC%D-#l1P@h(V^6&ZQ}!~9Hnn3*R5uFIPs44_+)Lz>v2GG<2WQ#$J^BA_wgo2&`n-o0cOoz$O^H>BAi9HJ+Ovnds zb{|U@-==^R!I~%Q7~xrCxfSI*yi&`E=&V ztI-XdD47L8SY1TLK^xk)jEU!RJ)9@Ve8_VX3Pso=t)xnS6_ti@iCWJzt3&Efw*yXh zX2s7MWJb<69Mlyw3R^17W?MR?v=^H38reR>946LoMM%Dx<@?2H;p9iWjdX80&PBOZ zCqPf>Xd-A<3Na}R>)8ht90JBF4Gn3Z6MljU>!V)pyK)PQhh@5Hh;8-4%hu~gFGGC9 z_p~5FBp<9tXL-4&o>XXamk@s*mK&XNef&&q*vIv2m)9Mzm0x&nzQ^gMvmC}DdMbrR+lxUosN{n@sL?kkCRDspq61jei5aB3_fmFafB?<^}qxO4SN?FCt9rF zto3^NzL_>Z=?gv>J(=xqO5c_ex)D#yW-vLA!Wx%E!Rg29n9)og{h3qIP?Y**JKoRv1 zcpkrsKIkmE#f%8}8sJ=D{ksciYL?!Wj}5HuJic({13D=*1!MEtHH(WtC3VIhMb_vVlDH7tLo5g0@KNl!cQf z@v7&19c_7~moZ)y2kkg!x_U{BFO4wNHT|SqWn`P5nZ+aWE}Oyjr(4}==M2MANFq?Q z`Y|VT3e>0cET|J8D=_`T^!tNku07)}6m!(~%=S|%UV8F`dHmg0Y>kuAbbVVYrqX+w z48Kdp`7CGIrfK{X)wUbHualt*89A^SIg~j1E>)0lfsteat`9r5deC9Z+S;q|R#J8{ zU80Y{02OXy2U)K7wU&*qYN`^wXIY~7Q5|^=lUgZ#h#BP@V-j9`d)?u;VcEntUV6jj z+RAwWhetnut|aN^i8x(fIRSRP;Ro-n(~fEpzcKCmB}dT4>lTL8`4ohbC1@fHF;9^7 z=!V>H}IwUuTm}3n>G;h+h z66KK*xVX&@P|BQf>YJ4~L~nLqH-sTHuET)>$TyQ zVN>}v16jH-i0Bs>COstC6});J)I4!(hr^$GTPttIwN(7zHM3Yth6dhf%O+A+`cs7L0>Oc#i^ zL(!dlhY56D?ZA&4p-cubb~rP9sb`R;h2%K5L~EYW9{b`LviV7e+Bn4}ssp2T4jASI z82T`WJZ#D$v6U?5Z^4M+p-f$K3b^*3WQFeeQ}s;wr@r^RtxBXiF1s{;)r5k3NTfIY zg{!PAPZCeJC(jO)aK^aXoCgU;e4_P8%#(WR^UmH*XBxl#jIY`e3zL`kS!~La^+^3e z>+iD^x1u>a8Q|eJr?Sj=IjJtN&`fnzK16)?nR8}?y==?+b*r-Vp4scqHc5p8>A!nQ zqN=twL^oxm3TmaK3bMCF4ZiAI^NQh%W;4FCt@9DKo#~ z1&zifN0$>q#re}NeOLN$Kz$FsJ5Oe)EOJ0~+|$!WnjODxhi|y!JUWMH2o0;9`HV=q zGJ`BW)_krq$(#zay8&FYKiWK*#2%0eS00MdliDj#nCJ6Y^DQef!`^~Ie6|sK$rQ!; zov_+xpOP3j$S-%s%N`ZGRh7Wz?&F=N;`ut``EM7_Ok!idyn5ZujK;z*YY`eHD~mf* z_LHu;h0=!F(>L3Le&-LEW(`GVwqFH9+w>$qaLr9@O5~Fny0FuW^e+k;2r0f|Pf>%q z(|2Cctr)L4m!AN&cy$+lt6RC)Homc|LNMv;(^ zd{f)eMg0Uw|Gp0*v8VspfBmoi?0?U9XwLN9%lX<>k|3mDeR`zNtB@2)Q1vTX+f%f_ zZ`odHHYtAWm)q~f>@!KNv5~~uMP>q56LmPaPBGQs9^Jjqe)JH!^n2ep)OdMW~jmMx*a3*F|a@dcT>}Z5wSqaE$aR zfd?us+a!=3c}fshTerbT&3WUYd8{>b>OwaZElJ|oSd8mLJ+hrv%UOi-t-;-01IkUs zY%DI-_DI|bEleHv=}N5oyz=m6AX*@-eJq z?lqA(H)EJ)eWmu&_A0HBOzs@(y~;uE>>h+%o)!g*?wtF?!8y#E-PG*vL|;r zV@=wpoyqjGOYMA~P^|e7CsLM>k2UXAPcFakia;h4jm87DzZ9Iq{g|@9X{_dYX~ak> zhg2jidM1+y!}A~K>WPt{F}+UG$JK3TN|MRKB*QV`F;ylr*{xFqM3-V05GyMvG9AX7 zCQk99*r!@qZ55boodhFF`E|POoAp=)2VBO)qeTdpL|P%6?|R4C{>`z)f_%Y9|v1R?2GUEbt%)$CV&^OWpH$j^G8O3{gF zS)?&WR~P09A!tGR^v--6(N0#zz&e_tEZ)j*VZV;@3WF#8jIN$Dsn4|PyW(1-S+|BdHz!c&YaJ^o@c z_d46&l*6YwIp=Wp2jggIc&$l)(L}P?!H=s^69I1<5T-kx#iyHns|s@S%J31OO1h@p za{_pq{|Q-i&d(@2jHp7V=}d9r$8(RUGx3OGLi>$x(Z-^(=YmG7FzmZ!=kIj~i%PVh z$pS7!wG-f5Gmhs3U~NxC{f0X`T9}9no|-`ftUzO-SmTuY`E+d}o^3K%?wFG$--9+|lDkb=*1u5cyQ= zJW9raZQ^MwOd(<_-@3}ZnN~0lUdoN#Tq4_tvl$7^+j&nn1vm#hY&R%3&0>%o&C6dE zOPTSODu^~uBFm6_p=@oS3)^9QpfG&_f36190tupoM++M$7Lq>Jx3XOAX%KBg5K*Gk zBk;@%vu+D2w%BV4{V%oBQ{nh4$MHI0rBU->uBxQ{?)z6>Z3+`DFuG`x@Ioa2wJZxX zwklB|57`zu(|0OwC5#+UbMAf8TaVe@<41;^CqQ6Y%2jw+fZA-^?{I0=`U~ep0aUhcCa({io&$yV)dpj1~sL_p6dLYJ^%8uD_v?A1f-AZmLNxnCtyET{NN0=RAowlrJcQQg zZ`NX9Q$xL4eKB>q@E$GWxEAS!FA$67(fuzx7lya06b`bQ(Xr>bUmbFPv$yNx8t50W zC|3e@wQYa3B0&R5BTt~ixh^?xDPwY~8IZE|gcJ;f`^7KneeGN3i!v2gdzkQo$a&CM79PjYkvP)v3g7euy+bC#(U0@icN}o6 zuf5$pRB;uX7>!qLF6L$o&a^=Ptq+M#z%2R z4bBM=U^uFU?l$4}38Zv6eC}-fw;(}2rv58$MvkThl{TGDJ3i(R8-BqFSVPREK=_hP z;vno`74ZJ(vHGEDre3Ypls56unl6J8tBb8I*p+;jMO}ORz`*C}E-yVo;2@KR@2rnl znni%lj%t5KG|jPDbt(!|24ZzR5#&86(|$DtQoWW?jGY^F$hnS-N_Q=>fO-&C}B8^+i9G92I+*mI43z#5M$pu z$zz)6`DCJdJ!I3jI$NrX=fkt*pP5&HX81E~i)aau#14pjMB zTFq3rp;Spt)InqYxVlGh6b#j|HvRd}5<*bgeX4S6Bc$HBc3-XPi?)R%EH|ovJZPZ; zt%Y_y%e52KQFtRO%giM*ayDAqb{RqvDhZs<+BC)n=+{_Bd~sOh(>e2rE8djpEtX=P z;e(Suu%rve^M5?LmvNJ7Rb7H|(Cd_%Gx&728n=*>iWFsz7k)q)*UK`!A zwtIZ$=5a>5FO-@*ag?91kD!)leib_OQQg8Ww6HTuWOT-SqK?7cTuDKT-OfpxLrwtO z^7IphwCJtLK4+}iv9EKYGu9b3Q{F8kC969bz1bqSU?%oST{R=MA=^$gx&4ulC-o!! zl?$ z=Kcl0xcsZpUE>&c`8a13u2u0&x7K-gCnFp!W#k-?j!v669Nqs4n$t_5cu;hLS<XNR zGo_aIFQI1I@iYYYvis9?kK3gC7ahj#)|jbf2`Er1x%pDhnv7w>g)-n|)`Cgrk6>!L z5$RlDOi76Aa8kpP(XZ!J&M%Mdh_pD?UYxbS*H)dUWA19@To$@9miM(FZt#cM(VX*d z`RO-Rfj{SKV@WSJCiZIf4^@d!cLsFs;HNe5T3haOuiqKF4qa}w zminO1)1>rp{8Fjha|=T*aT>1OkSFb!V*8X7*j+gfjPa&0rW_XUq>8=bcQbU=Zam0i zL`M}v^+ePqM1k$%^9>J@+LN$@ebqB;y+z-?Tp!lGRFoKTGZIGKk4 zmI-w5y{>6ZJ2V@Utp6T0?4k0mOFDVNP}?n@*BpATi;L$AJje`8Y}q>5!Y6}Xt-R#7 z{5A5s?q}AI9MYljC>YXFgeIb}ewzxo4Km{_kp?L?div|oB4R6XBS@~Nr71ZfOJo1Z zz^~P}9c#{Y8H6e9j!8Ox3lyX#q}`&%@HSGJs6fzF`M%A$^Kh<(R*@rIBgd*u`@sG*v2wXuEE5iA_KcbGooWn+cf@}g(2miycJ9Z zhQZ`BsCTs|JHH?5+q%8DJJ^{|7bQL8K*+{R%y4IvtSdS6PTI1h)||rkb0}&Y69jwg zL6LvyvqYF7G7*$9)en-gvy#c0p@&ApI-2g@1$Ul_&3oo8kEt29SV%aXf7(2%LH+KS z9hV=Yf_hBm7z>0xwztWt`eonKJng(T{ix>V^js&VyyvVXWsNB1c^hiBiIzT03W;M6 zlfOB?6o^y*IRA*uik*M#QbYcN9;;N@=dlTXA-OrRt7cE{Z@yh9lQ(8nWAQL!u}u1i z#FJ8ZZ=N`0rdnz?pQkYQ^WHvTlYDc>cnUr3J-bPKl@9(cJ*+gMp+Z(6AJfK3MM7$&+ zXmKY2`%4S+ZU1y&;*HG;QV2@4i~pwAVVYp_t@Nvwj)u<+3g#BZK9y!}wMl~-O}C8- z=}$-?D-edTt_z4n9gB14<;%+nP6PPuThFIfOwStT`_ig&Bryk8q3}lpHeARO=wk9K z0OUThI_OY!<_KOh;ci}Jkn@#CR93Qa8oRsDv^+iCvU^!~;D@0YTj}nD)bU0B;~!S` zZ+o>ovt%wGl??lMAa+ze!Xr#fO8cY}OFm=xN8~%-7EMna8Nv zG7ue{kiyuB2Zdg0({zto7_dzPD^Q5nd!wF}woKC=4&Cmr29Nvt`HXYF?rK9`fUC0R z&_0gDxreVIL=ah#JS~lU{68E*XO`4T?|e*#7(SRVb>Q($)a}j@wB3;=Dq~*X7Ls5^ z)_FExws&sW>c`i#R1S-C|ELczKJ*QefuG)3ud54pY#380UM{;?$${#qLe)NLeiikp zO$Cfz;yUL&Qrf+$Id2l0wv8Vb9>;yj+FYVuh4;(-SP$m}{Zy@rc{+me6)fGux>mZ5 zV6~$=DFxGp;48Ym4@Byt#TW!U3k%B1?(5Qc+0?u9Uj9a~G;xkF6sul!uYQrCs;zmQ zkmGZN4%uxU{RAdFK79i}fPcN-76QrynBnTUNKyvvMKhR3Gr>78s@AO6e&>8Ytm5L| zu)C3+RP@*<^^>*{)u&CagdWZ$u7oXR%`$klVJB|ni z9a&*B;?2{m9EAMz;L7OfVUExK>S|-w{ovbkr%@D9(uTM}3?fDc?oK!5f{S|OUTI9b zICuHSOi_oDzNF9{CH=K;wssCzU%tH@SX8l7T{cRl%gu6gWlXI;ZJpTEkeA|2(6f#F z4&s^@E{2@fDE>#?Nt`Gc)#1c=oUq*zR7zl7b;9u^MoGZaHpo&q*kgIortyRLspmZc zX?+6T@ARu&V>t~kjlE>9<=Cpb);cl0g~%91&t?69SP$S^$>AqJ&L6$~|8K9BKSm!w z*}b6e<9eFgV^U|$7B>*I>$|_+&rsfp7_WK$QIzq#!U|09K}>uw?dI z@z#28?pAQt+)%!bE*O!}#|>>c;CL2w<47D<3t4e`BBACBa{Enc=*4PwLYWzz`9%GV zr#jP7PlRh4;j#Jyd|}Av4}xSId2b$p@naCC@qo%M)CYsel*O(d^+)CJN62MplaNiCp_9>UT6oOlf>G* zQlSu7A6>U6znWwgNv8WE+HrQi1%S%=%xEwdb$~`T$$f<-{_9w2HuH zEt~+c^^w+r(%dVNrrlAZd12|7;_2yYcCs1lZBs2Zs)a+o=j#S(MGaVcwMV39syFN* zznTv&)TDSB!X;k5v*s4zT&3~7vkX6eG{~7B{3G4x?pWK``NBZk)x*aqOw|d%OVY$C z^tI8wKYpIoE2KcMihQk*D5oR5WET{At9E>vra|p);D_Z8&B<8)e?42V%{5lFHG_ZZmo%9P+9We#IOi5X)l>=!ezXDM#pz5wdQR|&0=?}LkVk$2zp3QD+4--tzo+T;b zbdy+QUrMDdE}2~_xS8iztWaf{k-jTXbk?#2SR*7NiTvS>a$H0d&Gy{O0~qr zS^rgwCo?e3h6EpZjX8ZSx**H&ROhP`$@15aHjVxz{-5BE8Zd<<~+%(Fto zF5xH2qFhzlZqc|P1E6))Bz6ukhm!KWy0=L@uLK9}B=f$*X5jNZyuxrH-Al%GNp_z~ z*=p0TbMMeo9iMkhdR2PU%~nDVRXbj)y1m=4pzdQojh~Qpa2)h9R2`1Z+If8yGS`Aw zF7tABa1O4FazOCH*Z%-%?i4T)E{5`O_^COCk(2*SY7RrAZ$JX(M2Aqm83!y;L8y)j z7#AoVLZ}WNGPhUoQEu|r@`c7AI8*bDm836sd8`@(A$+-m#Kr>6TMWz)O=@z&WF_eH zhP@qa@~I=1l%bTrcAz(J=WQ6T*P#+Xz17J26s#TiSAGqOsvjv$q$aUq6_Rue7ooIB zL4r#$yiFe6ST}LN7*Kw}KfsTxJCWPnB>r&60!-R$QB;7VVZ*Ta>x(oRRj=yU)2mjq0IgE$;&8jSjgV_|ri@%>|M zd>J8k!JKMctFp1Fwsx$l;fLeJ)2{>L&);$UnDk(b5AW%2w`lx$`6jK^I!hE-#n91@ z;?4Nt#PLDJbT^P!%kGKQGE!}YTcP>5le?R&!|Xt z+!Fd4Y6tATU`6&K|CHK4zyB(Y=5iKMyIP{oC$b;@GZ(a2U%V~vv2$9_o7*-aIqD7Zu5oG2cScT-kop@&` zn5p~%>ppVcJOL^PV!Fyp`_7FqgMMm;zF3Aqu8{TcGY6xC$X$pS>nym94pHbNB(C<6l?G2Ni+7Nm}T#6OJ5L=)8 zdH&Sb6wkym`1Gwrn0o@*c*X<5>Mo(F)2(gZ-wFj?Fic{8O-eMG_50wGGeM%H_t>@< zS`(Lib{lGnb*l7I?H>+u`>?y5-Mft`!sFP}>Cl-Xrn$r?=lNk+r}p?c(Q%l2B?JT6 zJPe|Sa-0BOTkbjxg}+lCc--1p@y@ED*b8H`mo2Y}wjHvh(5N0l5L6)e+=(_yl0RXb zD2fbrb*=c-^r*M~js2x5qV7RO^pF+WM)KumL+W+b)GM=V3p{nXH!4+v$$KW6CCjHj z)KAS#*SrsTB;#veUY+LiwtiJwB0scT7cvi8msH`uLHI=K^@ZnDlj-`b1v#sdhgo~C zE>+yCD9R59#qZyWKtj!X5d`U-%`Kuf(r8Ra7&o(I+l8Vhl$fv`*IphE`Yufv3QJs` z%CwBSW3u^LL-YacwaSIL@~inKy2!MvW~4OVS*MubWUUP7lemJa z{7(x#WE->XfMM_PY^h>v4UVJ1(#MkC25x7zHZhXr$jWdF55`e#hG=Uy7WDrx_uf%W zwb7d>Dn*ncT|hwvL_okoQCd`_iwM#qL`0e~Aiae|K}7lo2q-8~ib##r&?8+$M7jha zB=izUDB(zobH3k{b!YCZyJr5Fd+%Q)S#ZL6&-?E3>}Nk)=~!Z91L6$-8P%F+kay2w zjvcY6E}^Fa@`_)qq}lx-qsme?#`Pep;A6O+7YQrSjri2H&70GCe(>anUtv9!kDISW`v_Ra<}d4+HP;mB<XE8Q@YiqE@t)Iit+pr#S|{aLx6|w1Ge_r6UhQak&zW)TMHF> zm-D@Ig7(|W$h^W3Ekii`QOf2C|9`e_T}#nC{ciLaNN#-bXVVX=yU(lUFYyi(y37mL}+Jd4t#1-GF|kIXU;{w zZ<}YuK7=3mHFv7yPzCD~$RXH_!&G^-w_1>SDA&pFv^!)(hdyQ6y{F% zf$}`|FT2?OWp+5%mRzhVGPx5mwLLOwy*EF1a^eqcYjj6PWeM}^GW$poRh@mrrFg9d z)r-ePfM;9kOS zPwdPYn26h4GL<(?-=B=WXC&Peo82Ga?v+#>FMRXI{QbIbBRD8*As=5vaM-@FXa(KH z4Ms*xYH#TzfJCkTYsm3mLy!LxKLvkS@gnuD2)b;6hqT_8%s{cCu{aQ?EwdP@)%E#l z?$$PTHp@L+96i>MNI8~%wNqWL$RAz(m!n5oP!ipaM#DFg_J3gA3X$?4*l8hnaJB7J zLzCkUDO|)b_=$}DpU`X6>4I3d&#}LG{bBc!|H2>s;D!;!d#jp|Q#;h-(ZVRfu#v8a zBVq6^hnZs;x8=ITt#vhIkfHR@a~Yj&Mk$M@Pn1?V_#X(N;g6%ZkOtr-Kwf7%`7Xs&69zl zJ4+G0@6;wruBx=w-pO69i#P0zlEnw`P9OdmX8+&Bd-OH%RZHk%?>YMA57t!wyZjo6YZRczh0)Kab`aD-Gbe zitR^F4mypYPP0cbwcI$G6+McEd&#^@8|-ZZWt)bX9<$92wJKJ;KA)$evhA8%8*p0n zSRsbT&+4?S^?Qd4E~>mOUbXZtU+J+QV@nxLjcJWGoqZdccp67hkY2{mt~C#B%GB4a zMkkyrIR{L!kDy7grv|5J*ylw0H`d#hNLt6A^TjTgwyy!fXmUgCCni`yOMR4d%1hUg zyZwG)O6JxcQw8?Ri=D(X2V=`^G=k4nWw$ipb#EqgVq4i}F%)tc;)#vJS5b;7JhOdm z$JpJn;w=*7*L9Jh!*vwH*(_|4^YY&5_7pO-(T(?D!TmSKN&Y#k%lQdI-)PpmEJ*); zRZeQl0xKAFKZONUUAAD{fpxrR@Z)2?dWLC$Pv(A=EK`UAA@)N^g>IQZ=SoXu4||YTXE*cCfbV5n4nE zT{;x*uY7hh*Ebwn1ULT65qewT-f+_6`Mr$h(FLtH?lPI?P5^nt2U~@GX83SPopabGdB)(wLOw^JM6&*a`mfgYzXmGrw?emoIX+U8xzOhzrD+x5V(Eu#&j zF-1RyOZ~=hqZE)nw6keg-ojk4y)9mDH0W#PVx~t9{Yuu1mc%8oPE*Huae0q;y$Pmh z4Et~#bqQ>EpF64xqVaxYo*u^?m#b&s5WW?eQ#jmDim#9hKLKh6KP^&i`fad*_LHyP zHvE&0NOAcGJi>ReRpIP(%kc8uSMW&hQTwFYkx2Phuu`+LdoxpOyS>p!kB>+rs&58a zkjwS@r{#UhTb3^4 zkAnSjM;kf6sI2ze?Y_#t9E&J(5SyxFy+AL2L23TwARDYt!FgdIoR2T$Z@tlcw-J z2eb?S+1uge(6f1%n!%^&*wQTQ&x4HkFMV_z(u~WnTdhPqxc@9jJv_)~nLj?mys< zg!>;io=(3RSzW+)b+8WED)OaN#*mA8ZXmoL<_@!fK`kB zl}vGHyl2DD8IuqpV_sDz#MySe^lBeMJiE*vEV&<8gy}bBYDe5lEVJBKX-3c9!_Ff! zK%SBqQwjhb73T)vPxb48P;aXr2@50%QY5415)qINf2P53#ZKfjYI>|~#Lpk@ouIBt zF!WAJmx~_GKW1-i&&nEp*pO{rk8qJopnNdYk@K}h@_#wO_cZVa7qXoJGJsCCi6O;U z@9`wRFgl}$c-%nkW-@_ik1RO&Xr?cP1!rKKXcD=+$KoNK%vy(PO31w*$VCbEUCfODx#QJ#CidvU9m zbL4=Pn!3&!m(Bu1`ty+?yQgOaRWBro`Z`Xei&=(4m=X;7WAMNpXSc&-rs&=+O`j*) z)Pe0z_E`Y?xM>upEwr+iJ)!IA9h!y1BG69LR6+V)*&sF(&kUsP>FP7s}R0G3~^isczBx=dGb8M~tGsewch$gZ%c+ zz!rPB-HD=RBGF&7=k@h%Wi4U&H%@+a)X(SJ?X|FNC6%4Mg72e#7@kp(h4m zitLeZr_GrL0d2C_r*+bipL&D|s``)Rd3+64%iW`O?h6g$<^FQG!(z~4U`Q(aOP4M= z4)KB|T2M#m@2RpeOsgo;VdVAuds6E0NNw>CT(7clkHsxZPa!V5{hI&iWGm_%ht&{QwGCHd;K_4aPCON{Dc_^h|!e^QZ30>kgI|fAo!!FlL0IVD-I#jvi$AynkQ!PI|B-g-Dp1&?HY@{r2A1%cB z^5^S?CquYz4!$0eKSDz?U}W=)C6)B%K(n&iv5^o@B{S<-T@{cySIJD6a_uu}ChRTv zxX4~%ci?Mfdv!sJt&i;_0?M16>Rc-r(ITo$;S3*bDcWxXU8TuV@Lhk{Qky>RBYj!E zUnE}AJ%}Uq{P_>Wb*m)VDz8`+1T{Rv3B=Lj9lAg=FaNsl$PFrMx5@G&VO3lBTCeT7 zNx{GqPr|J)$~Fss>)*a0r#>6HuHr%MpR4QbmQ7&m(+0c!UScLMd5cTolxltt`w8Y*2Od0QwR^m{7oO1a;*N?40x1WH=976O6HV%z-ILuoN2?Ox0zrqekP=|H<(5KK+dvtNyIVoy{xB2?9# zp17V1hFfax35OVOKiex?_nQoz706|%vIp~osXVcYdGx7HDP%}B@!m0CO^cZ9hL(3v z|9s5z%<_>2^6d53I?!+zvo>Y$soesR8Au#2r-QhRq$Qf1Ror;!_&{d|nJv>e`XJSM^vtb={O9kwPGWJ4nR~f` zRaMKPs&+pKK9m2tum9j-{O{b##SzlRGuc#Pw@?0xT(|JbT47tIsvINGsXSSEN|J{E zCailURX6nFmA;CEbNTzw{S85TB5cc^neO`Xf2mxIO>7fok3nQ0zOV$m=my>$0VQe2 zu*H}LG>ts4=MF6jSlLYYw%A3&r4ku0`P+&;PJ|5IyL>H)v&}8Ru)$r7i0(MRfc@nd za%6!GgVfPA7<0sW$Y4ctd2Hm*$JaB-y`>0-M|Mh~(Autr4+G8KFrmlhAWwW{v5!7%!>I%EP`M30)A>`%IlF7->VMF$-i}G8D z9OFze&dS&yAxk_mb0pX?6Ecy{r>WwVwib0Yq{^kxLFiAQarLSDmH3V?Cxm`2;xC|Q zm#h-&9hwx^ho~0TBfHZPL^8hn=+Ra$qoK#_$*8gw9puXiahhRcXpLFm<7?-+@5(>r zkBVb}<=}S19c&`3cD#fNC8M9|c~FbVA@4}bNC$X+Sc0X2f9Z;q((~U?kS^nJtSZHN zp-=M3H`7y>=A%HY@B3?l^J)nDm2`k@ncLV%g6RmQ6B3NP|E(nT< zfQ6?P;#@W*k(x?(8`WSy2zSZZo!B^BM6I7@l7Ry4WL~BM`SgJtg@(+dPaO|BoD#XG z&D6)x9sY6@WC2`%IpTQC{&LJGm=%8}zyp`1RJxE7U>JXa^%f-`)@%s^JDr1I{fkSJ z66w@nq06s*o7VOwI5hI|TlqVkCl=;IHPH-Kyh zdps9+tnXuA16j*C_i|S4pRzNLE>0%8`7O+r2up11eV;#odpl88y+px4VR)WA; z`DZNyvgRX)Q_V-8xoz=oJl?!lpmwO~1m^OgeG^s;1b$MHzQ{^xJIQpUy2T=p@B+gq zjf-tGuOROJ+<@utcMFGPgEWf{H@Y?EC2JHmD@wOR|1<_=HWlW5a>Rs+RF)KbExs$p zZf&avhqTt}2PCL0!hmyD6x^KPFIj79TuPlEr=Td3H+iuhh$-`lcG|`Bl)YvTmQ<8R ztDSde%{Cn2dnxI1{jlAKN5gGk+R7B@tnvA^|0sbfNB~99EU5i-E7qGJe0)<%sUFOW zOyiU}I?UARU^99pvQJ4vT`pbOUTP`I;A`YK*_*I|e+WWGNHZF4ok41Kr#Dh(VrKtx zyp(#Y9$c~;IuvR;V}B>& z^F4vxEl4LCxI(1+0)6CnRyTlacnLkbO7CYW1;xvt1>VhFtI$*VgIF@;Z`KP#zuGv& z-|NiyhJX8)1JE9%e*s+nt>?EpLLMIlv&y($wm6kPtEPl#=wZJ%FD>qDiV&ofm$@JrVF~eI^&rYjR-zp^XE_Qo_C*-fj&*y8^7>}1lEIjah)nwX!FaPM{uePy+%h?n= zYD^cTW{)YIHitgQbZWD-=wb^3BK`%BCX_C|QD}-WxoA;;<3KQ9(xGF#93p)sW$JYE zx~%j>pAghqD2x=LKhiW+nP#yjy0VdDx#vtE>N~Tn>XD}_F`{7>7NheoZxE6T9gHtb zJ@@#j^?TM!vge74F$iQmCvKVl%dxs&24e|l{&cVm`(*pdzON>mU)v^0L6rde2V^Ft zeYQ3V!*_vc4k#M2O^xemihI#^9vKQ~lTw9zg#Tz0Tr1`*wZ72@=r5+u3;(E0esT8& z$83Uw1I~JquvBXegP=P>7wv)Gzv}lC20RJEuuUrmXHzLysvrF|O>8`kafRs&LdPuU z9wH@M%k>0JKda2&k9#%`-s`7Q{c+LmxACPfUTL-&k-`LM-a8{voBxo-bm&8iqi1U| z+-*ltKkqQl)9AT0l&lQQDp24}A(W{x;j1`d)O;lip=aWanmR1h9R7LpMycb8K$x?` zTpgC;Pc6F()?nVFlz@Jap^-c*cyJkgfGz6`T)vjk6|qqNR$YC=d{FnAS1{jDV(zcE zO7h(IcDv6RJR15qlWc}(gs8GZV3!ITeQp=q_4_%<&qxsLg;pQ8#hvWTm$Nt zI!Mzd8DU>yx!)D9=IH^!l>po#Z@$D$sI|2wMO4==S8bKU#*D*Z-2WC%=zP{XR{E2N z$5lST8-o6@bTriw^tKXU!V=xalx<~!=-q6VmoYFhXLbDdFIZSymrn5afUv-JsmBse zzWZ)y%DDST4%wOrzGmqC=4S}~<*;Id|A^I7;sK;A>1f4m7h?$bvbeM1sss=GcOpFK z<#%>$OKWf5u76E|a{35VT@wMz%*&qK0i51emKqC_S9!+QKlC)_f`UVYtX(b<93`4jsF!_SN6En!#y(%kl)kn3Df?TWh9+` zmMb*8my*dqA*CWg8NeRdI>q$`GV%Bd{+OmJ_tKXcm4@NkT!!q?Rl;X8x95Edzw#u1 z8l6b$6Ea*-viH2DY#r(Vd!$rcu!r@i9GE1q>=H8WG-c5Pr-qe@A;}7dMH8*WaiJpz$H(_VKD(NQ zy2-B|xY-bU+)Mbp$HT+db+Q&V`?r@{U3Q@TMIGp7hio{rd0*wxesI<9wCLnRM|ZEx zOd)Qk_%DY>bC_!YSTN){&pb&rNy07;p-v(LX;vKwSzC7BC`x5HPZ*Bnp8BeAtY6vn z&(i_E0O9iG!unx%rvo=u4R&6MuOlle;b>UNzN%69QZn8LTCP;zQesIq%4aXhW*?> z=eME2K&XcO?Jvhp0FeVvon3)2(@g$nanb{WXZZznO$qzsSJxk=cza%>eNB>dF$Gm* z4$HkAeWlNt6Y(Al%Rq~OtfC!dA3aS~ByBQ95496(Y-bd8io5XQ{i-chzc{mcufKcX za|YMepvD>a{Z9UkXTLAHkPdwa6&q0CYMu<`+2|fv&Z?jr6k}gQW-IV@5-&mC^`x<- z%B<`rN|ot2N?~%%p5qSCgl^q&5f-a2sy!3=(Np@`(?fe@EBk=M>|J!{7xZj}%thdx zfBhy2yWV1<>d?l2>XiF_8*v?MJ>28aP8FeQfqOXi}Z*s_`M~ z8q$AVOP(5tix9KHD9AOfMfFN~$qCJN*Pi{iB zmK2T-un#93(*5L_bZ@4MWOnM(Ql*NC^+Z>Zc6np&A0zya{zdcX;u|(DS8a9!EVd9# zOfKwESR(tV3-vOottx*Ci9*NYkEkMz!ZaulTiQ}*MQEql93J27|okY@vxZMW*=}5~7_5`5XkDHW(`3dA)EfvC#|P7_DD@ zyZ?x?#Dm`RVh8*|F+6byz56G67K`WEL_b6W3U7u$hV@8~wwA=qX_~;hz!P~VsK&Wm zzb{KSC!4$`7zf!2buJnVY99jG`4t9=-b8-L>|6Fxz>lnpIa=HWNfkE`ss&)PMRmzM zFI(K^dn)Lr(<#5+6D1q+Lc5-rEb4wf#I2U84%aOj@Ic&a1=U9(IPbq4k#^E%_d@nY zumrg)LwWxv!=b!aE-PQ)@TNvwz=L>)x% zQPvc4&1vl9+=D|Uf+9`F!XCe{qnG~SVe^VH^adGvVK8zFOkB^sFbqGZp2YM~Pi&L> zn3B@u8Cwd2Ue}0-`nbTApYUsn^g0{CNI9gOiY=WfRkxUQ{js8}_7G$HjfyCkr`2TpLmZttGi|=O=j>5mEbrIczaMQ@`U7sbBBmJi2Q2 z$6ayT!m4!=IXD*fa68|D(BF8ylTRqGD`KSV3&{DI`paR?$~VvidP(SHrZjml_TMmA z$O}&^~4*K5Jdy*C>17>DNL0nC2J=1(5I>6Q$nI_pE~P z)97vumQ?v^~-u9}JoM1X;>E5t*VkWFu)3C7e4P6}_%sxXy?CpFcDmt`O=W9bm_ z>4K_+ak}(j!CW_)Gp{=D~-@uXL2VRlcI+*Vq&Gax(my+a?Iw6Ax=E zM;5Fcf;I_5{ucd~9@9mm`$rPam7e-v0)9Yx9FszWy~rhl$=L}8DU%l2tM!hWF?)}& z5$pTSDlH0KYUZWUne_0Bli(?8!{C*zsH1ZmnRB30G+2}%oUjZIrDlT}M5G_JXU=-$ ze)`HT{@A^l!Whdc)82iTFL|N3t?PvDVQ-^wv8X|s1ccKZ|Joa93s6a6fch*XWekY@5(aZKzE=6YuP$dfLAs{r6}fL)kw7)_J!skNLxQpW;1G z_ISZ_I^*`AsKR;N(i6PJxlcYH_xzpdD^U(PD=?}9EKUUV)j$sDCL@maN}bImSxG>i z1?wM)RDr*HpzjuZcxM|SO!(dJ=g(Nl5aiov4h_syHYh%kl$5}{$;t)wv#}yDaI#Ca zcD#Ws$kO~6Q*KGi?q;90I_8s;9G8&)*=J)Gj}v#eY^jhr&6*dGZ?XtcUHD|Iya4f2 z2{+8rj-19axs0@@U6HGUw&}ZJ#`i|534Ln_wfW(pTB4#{$neG*sKcdl*>GuaO1B54 zM#aQyoTg6DA2tAceB;A!Hr>X9R1Oth@R$;Eu?d^RMME#n^S5k+n#{mG3|Ku}IVpu@ zi{Nx*gc2~35h(nUt~j=E_wEg&xoK@Egr7ct(&`CfR) zNZXHwWDA*&w%+`NvgOQpaMlCJ#e9KGi~P%>L>R%ZKfecFo_z$&@}uXOffGm`hGcQ4 z-?NE>vhkSOvo&z)M5nZ&I1Wyq3=Il7`RyM<)Q9ge&k@hZi~f5^L)nUOht4d zd^J0GHz7Nf)l!Ka3Gz{D3dbr{b8{hLYgrSVG6e%E07PF?${cdQ8OZJwN$?U8%@Qx@m0cycR+Jyq(RVU`G))yF}%p2hLxyZDqVku?}7$9Os6YR7Yq+I?4m|Tyn zump<g7bi-cK`>uQDwxD^ub;_9W0*f_`B&>n`-soo;`GzqHYLoA*JP$M2UZ%|`Qb z${enQ&BDIGxWVpFzH&VY>e0?7zgRt`qCUN>2v>}3HsX=zo2BgjTg(rIS;k*xeZO$r zx34Z6lrb*P?wrp>R0N0k8E;HaPyNioDjHzXu4}mbk-9p(3oIHjutM(SH z;8|pdfd`K)O{W3WT^q*3(LSk@G3}6go{mH;C+eq;%VHI&tdG=~H8Ww?GNN$lCTY&i z-%I1J+VMlNPXrCqx{(DWJfM|LKTq{6P#``x5PB40_xr1RdL%>!NasCi##!=k^!lkx z9+~&{8h*F&by0F4EHG=P!fb}G>Xg_PtYrjc>ym~`*eRP!c*rDsuoVMop834Aba8yJ9U_Cg27piw_dj9TP}axFIylH= zcV(WTNitkNTDZ(ODZ8pB4eKI@eQTj1!dgzFFXS^acH*M(vqac02B>B)RDpC5Y)^)` zOq~BIZv$kzj3JGVJPo+)_i1`i52JJTE`@q93H_aA7_o+|^SWDajy?d}NRl)D#Sk*jq=;fl+^1Z$vo^O!Yl-@lWYhzkCxNa-Dyw<7;8xt?7sy zm#%bm&bE78eHSh8f+OeY8|Z7teg zam-IX+AOjxW`-TW0-8&m5@7pb23v`Vq{TKFm4mpTa2-Z;Nz$XvjBuQM{@QtQ|L~aQ zG5Qk4iy_R^VKpG71>^8OmfEi48dvPSXTEiI?SD+k!gft2W(^D)4M}c~`gs9f**&K$nR1 z@dt-r*6;4)dL45*>qY0BAX7+!{-&)O zFd^&91I^}u$sFaDup;75*-aAKD%fnaJ>4KyyU*uy!M`zkDpD)fSD-8 z2~C=8yAmd|c_*$z+@3BamYflsjjb>io#AU!GNnr2)e}Qu$mLv z{=FJ^Q9oydljnl@st@`;vk~MJ%2UEqpJ1hy)@`k>Gt9!E80KN@dxI zJ=#kncA(^Fdait*W2}bK_j;waRnyy>`(GbG9-8K-<+xiFZ7r3JrKZ$Wxtwyn{?>(5sn48)8`{MpNlQ;_H)GqlhLKlE2T&TV!ei$tMif@h2mgh95^^dxJN)Bg0ap`G_dfXv z6$X^)n@IOzWf{mL4Vz&X^#n=pOk9L$j7|hXzBER^?;1p^r#V(9Sbl7*Zrhx`J3TeF zr<~+v^CTf8b7#VnGBIDbWzq{4X$`I7oQo5Xs^wvuWDR3SlxCobB!4cbL^)=clH25RY+UsOc+giRx?@pA#+V zj{=PqTSMLZb?^0GzAR%VzlZg$Y@%geWn9&5Sc#n3{8zWrA!GaTQjw;O!O-Jfm-B5P zq=a+#W`bq0a?67)7&<8KjVGnP$Z~)Pu#XPVhJjVh6;J3#Q2|F?y(D=WPxY)7pvo15cRRKT>_)D4!4rUnSEgS$`|GK<*)B{_37 z7?wO_t94c-2%>7vyn~;(>ubhIh@s*y|C1Qh741T~dvySnZWrZXQ9r)ZoU7`2xUzin zjJM(oJHGUuFJ&r++Bt;}@0G9iSi0ucX68iY_+T@K8!MDPSr8o(hbmV-VrB^j(*H5U zBnU@CGlix)FemU{K*a_#iiY~u-|5OXlsT3Nl>QmWA#im0GW37G!+f-v9Eg%+aH9Hj z{MI!Ya$$<3)Hq++I~ko>atsUWv_y-tN5WM(TN}m?9BU_pEfwX{8U)7vRDovv#lHa; z@-{0QJzLfm2`LLS1dV+?u_;7^i<2{QG6vK72__!Fw3VA|b{m2f6N z%PxA_zRbgITephZ zM?^B+z=IP_3(2L;v5)35P6F!mb3%_G(#!+oLuFwTwnHf%KZ69dri*Z+9!bxt-ZPvo zeEkyp`kd^Fvh2p@lo$IjgP{v*+_Z!jh2_$}fm4hxjR)xpu21noyCN!{hx`mrK5h46 zc;nobQ=giHe@C>b-Jw?2E4&-zIRtDbg%0wXWAoql zB;>^(@Ks;z7x_I=ai`$;NV5L=Z|staYd=&~$9Kxl{_5?!xmkpB`-M{zZP@vA7qxJn zbr%LVQW4x1;YhVsDr`NRBu_=Zs5@zH>ALvyk#^`Jv^eDo!BF-0aNjpWVajwZVm2Uf zis?z^E~1%`vdZ2ACf!Zo(rBJE5_6jfx>+B|(u=cKJ=XNX+w6Xk05G)>m~`U8>bYXA zRdC-KP$Xt=K|)3nwpmsgXwq+t$X|}-Ewne5$w>u`l+q{g{sNF-z+BJ=Ix4D2r!4a$ zw)|5erw*d**9z6pUk_(vC{3?{WD3B)>K`=W7cEIkDlZI7VDW)DQUPT49pni95$t7JSTi}~4Otf= z%72;(@h=4eyPb>U)OJ-hiQnNWeL+*NrB;b3M-!#{MY+D(S{~bxj<#05e(y-<*a22s zqY=sh#l&ptTaP~`n+AtjX$HDJ2HN0)wxA}6bv>d%V_L$l2A4I*7MA`s zUw66Fc?yn!k@q>Q=#SAVH%Xy#Xka#Ots=vJwWzm;qFJ^X%I6SwRt> zYM&gJ-+40iV+zsy23z5XU`e+$#jN==oqqDTQ{74zVl8_o(B7#WKq{!7m|ROa#OAG` z#&yV?#&k5Lylz6r(4hq9q6Fg2J)5cXHSI!;rp(EI`Yw6iIg#a;$qrq6JRhSNi*ri$oM$#v?+~hzEfkEQYT_5sudqBc;}+mfA^Ql3%T5sOHiyAxyK{H zFO^Oh_Gt=g`)=2)_2(7F+gNJ8AMp=`=Gif{QC%25$itF4Y0NWM2^U@4F>=BT!=Y_dtuD%ye)z?& z``LHevY>BH$DE7(;LIgmI#{Q_srnKE*e`88y&im5GfSW8fmL(t}$0Z7W^+yHk- zD_ph~)??NtfSQ)&Wg1cs%{{Llezb2KQ}QCOv#aTejMp2t@Y?g$9nX0SW}}ZMWu~1D zny3#*(uAX%C~6c{XXm0a`%y(kZILSG4}qOM%z#-AHh}rYHL=V&^r2;N^Q}(sTl;;abtmUx zxde?nWm3Z$(c!r_-O zR*l=&rQ;ueyud90|BfaVq8~%{HLJG*Vr?`}*>$mRBT(nLX`EJ>p-1%wWwUlr#ckTYaX)17; zeH3&cTs=P_v#%xEj)S8_td9OhS^{&lL;WzpFnfZ#lyUXIypiU}IrVsj-)UV5&i2VK z?(lbD+SQ-_+eHWx5_xKACX_>r>r53eZ&Ec@XfWU#GLSaJI;}ji<9!|Y2+C;1QdeE9k;f^YSb1ia3&ok?Qk@M^h2bjAz5)Zy4U4TI zwTrjk-UTu@7^?*4`6e|2XZqcikm`{^C`dNj+~X1>zAwg4gv@2$l;s=tv>>uQ&Ki8GV;6jGNvdoL9G3|xvy zaQ?wkJouu7$is~EV%QRWbh5kEIo7yIYO1wB`QD0lqqn_A@-^1)e+GEv(i0B^e7DdB zQCzN9w8a>P5o(lJGqGMmu5dU0OkGOS{4fXdo-97OLc2M0xc`|6(h8LSu3fRPYW!5~ zw(74r@5d+?K)Y8)7PNC`(d|En%|Onb^ALn|o9Wyvbalj+l=Wlq*0}sv4B<|a zTSWPVLqnyX6AAX#8N|{78lr2*as-=h_klMf=<1V}nGF0BC z2x?>swCI!i%f6CF>nyAi5udDzr!uztPvYnrsK9f5yo+b&dPt+T4wub@iOS6e+5Z*v zQJKY`1kKPblpN|8x_0R$iVu7zAC$`f2tEtPQ~_&buoWe1t~2jACPeC64?)~`6njk= znSV1`(wJd z3DUS(`#PFKr>wLBup2xZDH&XWZb!*edouH#;2{^3vKI9(ty$JV6IIfr8ejgHcxnFJ zLw-{x4Rm>l0E@;$uVg*b6QP;Vvl;RRXMh)bZKrTGb@6g>w?-<}&qf}7s9gGx*BjCM z`b%^0gWG0%kc9dOgDUE#!!R?vq_@x~g3>sw&?(!6dti1Bkf+Gzs=)aB|Mp z>c}9-hhEo8EC(j;^+&xQ2n^(_K)?^g4%vtqo=Ss#hXh~2fP25)4DJ1I^1U9&FoNUj z@Ug)#q3JM{oj8#>wCTm}rJ3dHBUE zDU3~b8$tgReb0eTMLzZ>`CP%(ETAlvw1}_5oiiqNRjo$NRY-q167e;06j^EvU4P8r zRM=(ua~kX=hzz+~8YFnhi^fP_DVEZvggw`#?r^NV>hqcS{Uata;&Tv;Sh_q6k?@@1E>UR zg%JtM=#{OV=u(A$kv(}9*rxK_`Kd8M{a8$ADgV*1w4!KZd`Af6Zeg=Gatyh+w-UU{ zA3V=FvbY$|Okb->EZqg{)HvwqywD;|nxeR>1W87|aeFp%&G+)g;(n-)vFVx2^9I-`uh4;dcxCI{GDc(EJgiKrT*}Rvw5)$r?73Z zAO#L8!0-cOccsufVN6|XIyYW zsOu`k=o2Vl2R3p1zoG+lXd60P9EU~Ez6G1^HVLV{=vqiD>eM3x5nxXsu`JA?i!BZA z4>HsisuC{OII>YNf>_EKf3l@?ZB_VY65^^feAydifchz0s}Pq^2br88?WR6$xkx__ z`jMm4VeDb3i+kTl$LDzIO`t`tEtr4 zo9u(Mjb^eRKcTJIt^9h4w@9ZLrD7m+H1y7;cyg8m?2_m=GwG6(&p4jfCSTb}um%ya z5XLZJz-5j0NSCpVanfZ{{%F+=fs*SVsEaXVK?0tP>)lKRQ?qvv?|FpcEbJxns+SM; z-!V+*y5b=lxrq7h%}T`eR2>MsVeyPo{H-Bh%mHd)l?r$d-QSNCd!M4R3{#&sui zcgz{xoaD-iLWr^*tTIDtLJ&pbdkYFUD@z0s3VpL1S|9%}GsPMt7JwYUxDxg-VJ0n- zw3!T%G7#fe<~<#W=6ni}yjl z0Ov=x&%;)#xrdN*pGpP)Lrr4lu4iX)x`O>~A(CR+)+Ymu4O zrRjIkV(GgU@cnQ{06Gf}lTu<6VK~3%1`zhp496Ji7*Yc;D1ri?yxfCp4OAlT=-BQw(4ZwnTzgrcM$(tDggG{EE0}_fJ`}k>MN^A@kAsXnDK14~{4P#n z(uyIeed@myNm+?ttS115YtNYhG%QoJn0^OHYAR0p7>g7}DKPa@5Jx-PWJdB+&LM`$ za}kD7{;FLgW=FU=UnsAOC5NdqPmF=)tb!U+N5UTjLfO3Sj0<7a6J+sB2t9LbuX8X? zS3`PQ$NzkQVQ8pl0_ITyH0-4N{qMpLOax3>OZgw4*d)oFyo#vL#;vkPRyU(2@8l*G zE0%@+f$dn_Z1VX9Ot25L7>|KHdNjaKQs-ii5qaA*!bHfS&zTo}^UjPR?MPR5rWNfQ zo|ki5MD`v~$hjjPl5C6kJqLs{loM1U>h#Os62_+SxfhD8CXI~r#VWQ;!F2iiPnB-4 zLDFhc@Gh&UuJz1bCs7KefmD{V6}~}dA0FLdIBN2*m&=fR*L}5hC>@z9ohKGs^Aju; zJvAtS^DrRTD;~W}MZ@t-*<}c`sA3SD_;LFrn$+8+F991xKT;=zc3<$`^Pg@@tAIyn zI^1jwu zy7P@_eh8$9BV1E`=6+L&!DFIe_s?Uf+C92OH`VGfOM&` z0RjR7LMTF%A|*mpT7Zx!Qlv|NKp~10krH}`&=C=lE}?{kBAtX10x8d3&)IX%>@)j6 zbMD@A&z`w2@+K1&Ypq}VmQUGp|90r=qz3$tXyh}pPaP?deJzKLc6yG>R7c;_ofKkF zG0_}Y+~(_YEz37ix!=6@9W!6Qr$5@~%Ii3byr7J=n5%^$`ug6u;!tRIvQxA|_$om) z2ba9wTsE~5p-sz2l|T}?U$qD=S?kJqdg7_5w)A8#TF*6C9~;Lz8xTH!cGsp+r&a;(k5RD##3HT|hdI>uDgqPF4?Sn@%veiT3ZY~7~QP-d}Dfe|XA}GSb>yE?twd0KmEk#AzihFWV zI|^dDZ6JB0^9460#VrX+YP<0l^|yUhYtpdG*xdE9ttM~$#-zRLhg7Rz1L_Xk1gGs$ zl3W$+1thDNBmOgG(*L&KLNbtOW*zD*>wE1id_$6A*yhB3?d&)I?3eiAp!%QU5z{(R zY~-(|Qp3}p8WpRmkbc}z^jr9h>5Nj2k_Tqj%USYSYl}Obe_z~0n;*3VF zbSlqT&XZ>}kH5(}3;_J|jE6OM51ey2Qk9K_*$vt2#lvJvHeUL?ulPsp^vQpwCRJsYHe2_>W3-5?^fAv7T(<r9p@xKqt6kzR_1g!tICj~0P6X?Zb-@9Jg+HsNobJvDikfjhH+*o5{rGt(02jCg{)dj^PYA=~I<|h-b?FH) zKeCh<)+35KU?57MnXQWY2p1Is65NUf(Q)UddJ=|jq>WaJKYpyD_?IoM3aIJ4d4`^w zF;yp!beA#!O2Y7!oDq{+$j-A7`_avUoEs2{prNU2$@ggDKlrx2FJ15YURV`joMJEM zKp&X7QAQoH9-G`$GyVCH$R4CU6JR7~)H=l+SkI(lH-I?sgfh*XewnsrM0QW`H-!Lt zV#u30K527kPR|rrj`-+>Gj~eU>Yv6apQl{wx$(2-p#H{!B5n>ldxU1^?*aB!JcTr3 zW9CTO(tY7RbtU9UkpFRr*drgCS@#$_b)dpPYCzMj07k)k{}A&g z6MB1bV#g1Gve6Mr7~mXFqj%vkTmG7b^+#PRl$9jK>kJZ<-`?goc+4itKLk)p{${IK zBy6k!amyAhkzCbj!#9DSh%SBXC^wjP#Q|2o>71_FkK;U7FrQ!?X_5T9RBj|kj65{p zu~EaQZE0!&x%p}-#|KG=+}d07*&6e+FWYjNKtJ6|6f)cZ>iO-s^NbUoUw<#7G>0~7 z2DC(tc_TOEH^q4jmvXgbD-5h&b@`4rdG*pl=3==cbB+SS{6r6%srzJRxRCb;!U+)= zqJCn^!BM*eJ_ec=N3FOeNmI6?h58hnoAQY}Cy{fflIO!=Bb%&4+%A~Us^BX zaRGHEEsZTv+P96lNtFTXIRl5gs{mk6A9WYq@rQ{;yJKhynDq&=95t8ro;wb80rmox z6`4}Df`1fjIvDpk@qQCr&MxM{Vly>yfl=|*pglLW$TyrBSgMH*6pCJvV{sMIavkS2 zPS#YS5db;zn4oS~K)dOWXn}xJ`R@gtpR*0V46#}xVkZj@0c}WbKp3W%aG}}jX(P>w zuD!McG+sATE`wcglryJJ7GnW1TFG>&jCGsA^oQ2=G^T?r^hR(G-%6?0v}4ny992of?Lh zxoIoRYr)5YU zj`vU-o3wqh5ZI@ZQb^rx@2OQlU)_Tc{i50F5#AMbHMXPiZUeB{c|5T98T{NdU#sl< ziy;84g=?tqP_`_*c@*XdN)FZI}5pQNWYE zyYQw^L6-kmwb1Jk)G!9d*ZrM?@nLIwKdgxo7w4{KG`aG5o8Fha+5TmTR);?|X#TE&Js^pFL^u@oF&drFW=-!1I?qPgz?e8?_x9|AMgUZiFQ2 zXu6jmKvp9)rQ#3bOktre&olTYt_G{V{3JV{@G;3)Z>`x61)X>|TiY-PJ&k?}O@y98 z`sP7T{QTgN;PwVEfW`LxSr zj9^+2JP+71-_HY%q_u&u!FX&$`nQ?s+}b%TWOO0*7hXQzilgqVFiq28)}SDqsTaS zhosmE1tGNO(~BwnM06Zna>QTp3~kM1WPDYV^zhw5V1Ny|p2q+Rll>C^4sLgc4SWyn z1^$Oe+I}175`Vf2#0ghmfG9_GwFo_6Zk^lw{jKDluhb5QKuwVz(w*bva=B~D#&M_A z-lwg6FY&kVGzlqda)7|9)9IeiP4<)WrQId{CwC7d)-gWO7{ei_e~_gFK*f&Oh;zZ7 zV%!;1t^I|(g-G#iy)rC(xjNoy*uA!;uKkbK;FM@vN-#Ms7ux}ijgjPb&tpg^(kOZ*HRTLjmjhTeB`$}`@$$-G-UubA(?_~TE>-+dtHLSU3?aF#nMV8>aaH^}stLxuuZ(U+c zkat+8?$A|`SE_M!G;<;vL~|xsH^SC_?_y$du2q`!M+$i6+tyffUuHYHk^Evj#=E1i zI`o3cxDDiQwzi;*pYxa&({_I^R`hKDxUu4p+UNm>b+(O`NaQl4Dv`0B@<%8Aw-R%% zQ=X<1&Q@<+<525Ao!Vd}Iep|*x}>X3-C10)(Yv$ZWe|o)J2|R*A44{Rh8_OtzN)}5 zk?t52K=|6xUU_pI^{^Rsa47mIkX=CX6BPco|y??!tqEH+XSO!aud{9zoF)Ed{AY*MUE5R0VOyFn>wktT!I?&%>46^1L*= zS=h`%s%kJE(zM}^_J7tmyJ#NOsxzb~gScQoQS1yg8?+;{aBgQm6%g>ol40Ak54lB> z>WOJ-ui0mt9U#mi#n!8+87;*Q%;fxo>gICt85J1x!q(?#pUWf34uP@e!)LO^n{qr) zOg;$AQ-@wZO5`9hfd18Sdzvn}ahPsGlPPAn0G>Gh!WoV4J7xuF8D*aKvdzh=$wBI5 zN5#ps$@ecihKkq)dQOC%C*PUVc!Pe5ivrvoXxzjWxsF-Uifa@*+uPy>Nk9Lj8_}H~$N+f$>#e86%Qw&1Jcj~14sp`}qzrF2kN6_N%A4exax*@AiPldKPzwDpL zhWZ8NL-9}QKTRLVLwIost}pnzyJ%`OBDc356U{(A=bs4Kp3RkjIiBys+;Hsm&{ ztqshyKB@V(*3 zAQT@1_S|9=4;dYiBu!!O!bPd;@%>UQwvEfM->kw;MPWuM)@Pf^RR{Zz1eUAJ_m^oPkc4JEBK#Dc+b<;rBvq%aQN9pK7fnxtYI;T8BC zQkR52N^^MFJf_2cympq)G_b2Nr@@mb;M#`RjdfVdd@|B*ZO!bs%y~47KW3oaOijjw zh>^$74*hAY#qW3=!riNCG&rn^M2SC!R|5OpLw6U){5KPIneX*<5CHzngno{}2PAcN zh%6IsKH8nO;E=UJH$d=p@ zgc{w9E>ke|0p(hbEJg8^U&QF28rHYgDu=g!5}sDo*CdmUoAd`UB9#Vx+~P-z<#_$% zx7iuIe@IbrI=;EAVJLem2Wk+^lhTFK_{9L{4^WQX`{ko12j}sK|D#vXagX#{uk+dd zxn7UTmaY+}x(xPNm%Tsh=3hK!)hN<20I+I=sEy$67_#$p0uAjk9XczQ0dZPa_2=Ir z%C2obj@gtmc~0qMtG9l7CE(%tzh+J4e4W#bW~V1=8lh!dPlsnWcH~9u&c!`XIA@=i zp7Wtm+w<#Ez)VQp40H)hQ~TUzQOMva19a}9r5zzXP(g-yDFWMdm{(Hy$V=ntARTDOfY!N=iaP|UCuBVVn9E6>dB8nt;d_Sa}o0n z!$|F~kLtUy>M5`w(a#*ub$&BSlmBKDs#BZC)FpOhn^0{jY7?DXzyDC(C<;ZS)0lAk z^!PatF9LE`zQB{ea@z2s{iXAFFO`QsGntgkvOQN?;+1Q7^^>z)?Q~Jk>_#eN-^E{e z#jhdAW?*^WSh+-(SGr#_v>0e%w8%kATjg5T%W8d0X2I?_nyg|Q29KRTu6KfoL56Tg zH{S~U+=rcHVoX|0xQxGRipSV_D=xhD_GxZ#vz>X8HYsv1?wH{vC>k3D&>O@AhjyV+ zgwqV|IZ(KLL1H0*D)MwE7867e#U1>5BIAH%wufu|NXe(xx|o%X=B^x4km06~-R1Mu zC6#}%h^581RSDM|_a|ENhGCVS(q;5gq3ih?ma?V}`h~DO{DC&Mef2LOzli?Fq2ga2 zi2sN0kB~u(i)d;yErJ53QfO{~hg47NSv4c=!ZPJy74{B1iTRK7XN?z56nWTrr6kVidK6znz#Vz2=h=w1P46@Lf(h!>i-S%rj& z`qL&vP0F2}bbvX5G8NL7Qtu9!g!} zI>1M?WITOiPWB(gFZO&cLpXHu3sq-0t9)_P$+&PW*gLKv*)ZVrbN(A_+`oARj!9${ zo=i#Ef~y|5NMQ<<%?H4ctn9`9MZXbKwSlVzr9;~@L8?Fz(b8@nQ@s>VzvIn65S4F@v$beW|O|KerZ9Y6*qUUO4L<_Ds~_Cg!5<$+Px{u4rI$nvpgLsULmNq z2y{2OC+k=dgts`FKLdCP{q}zqq_?6mdn*-|o-Jn+iMUAcGZW}rAyo`N5>8ilqS+~m zd)pK4k!@jrOCs{dq zy+GN z>q2~@mzIK`RWnh>TRWlVfGaAnZId6u0g7O|Q4KW42E*PAo)_g}T|`7PG>X()+(pZq z{t`S%yM1rrOxL90skO9kf^CQ5-5SH5D8W%5?}{Y{`+iyX0&5P?m*VI6?q`ptdPPt! z{Gne@F6kQW>1q~u1)N{S`*)Yl-iIiunjLAEZF@8LYn*pp#^Oa{cRxJ4gpf8{yHeqY zkK2;RqSJPr0_>q>f4VSaAHIY`fP+#vx3RIC3-CF*l)Qpx_S!#~?O&Mj%J9|J4tq(s zaa`%zsm_;NAsP(cW7MBjz-XgU?PwmB+$z_R7V>z~rQs(Tl0G#uZzF$RVV6+d)^8H! zf3e{NK$lNa!3;UvZ*xnUT50o}E-0H042u9gjIm`jD2X!a)Q9Jf$w<~rpDj}s&M_JY z(qLSCZ^$gcc_rd~i65NAn5l+uQQQoEO4qDRh#gAOW4ww+C5^e6D*GG4cWo^`m@nQJ z{7`OletmjIfOX&0ph)|6fG2)Dykx{NE7k_O&>d;@@k6nmXM5A%Y{6dpGu|@tj*V*# z2d{yo6Vn;8(d{ps~|111|zCWI^3 zrQ`ZOoopW<8)$~`0X={l&|KsQA=A4W7uTE+RUN<39Wo@FK!P09F85OUotc8yrGKQy zowXqisEJun%LL99$2YkQ=13t$=9jHNCnxl{q8?U_xQ^yFOmY1%33_RBQRZT0t8M(O z6T1XtL4$GbJynVcNC+mNR4FrbAY3huSuCADHvttpaJ>~XyQ4`t=jUy6FYV)x4` zy&nuNcE8>xmBs7J)~u+xN#)_vj6A>NnqX7;v$gkn@<5fJ?e|lCFgvPya7YLNGB#yW zi`sznL&+8xn)J-XhKkf{iVF1^*Xc7n-N&uTLurSK5fK{_>N`VSdV!R&ej?5Y7 zYmP?_hRutPd|PmCH3Mct1gamyhx0*$5FtdHw9+XWh#EM0E&fjzm&1LWD}_G>jCkl_ zGk29PU;Xx&=?&+faV|#;h|;PfDKUxNp&<8J7F2t~Jw&gO$HK>w=KXbct){vO^>wN? z*&FFdHm5QuQ4A4tQV{Am0=3#plzz<+ew@tks2@V!f(L$~wKN}iPnrBG2s04BpZW1= z`j&QNpyEa1F(Q&vFB@x(8rmtD;_Imo*EosBiPd8CRg#+nl z@>C3lRb%U`qZNk%L2b1`K}5#fU?dhez8p{ACl4klJQMf!y+49QO?i6y$K5L*c-^9` ztn!Whc(QVUnNF$v7Iwd`YS+XJTJ>ijFm($7^Y`Z8-teQ>t{>DT+XO5c`D+j;iyHKJ zM)3hKf8Q82b5qbgD0Sv%95GGr3PPpLVAheJZqDN2KG{#Y9FnP~DEEDP@ARFs( zHQ>;uIt&4gpC{FIfx|&(K8~WFCWhAmx#-?n>{!iv{b~wtWF(cW`jW3&#tIj0A zMB-fB@8pP|87{W5WSPkC1)9wUBe6@~7E_$WvG0lt4Jo^f!wVlW@8~35W-3bI z+!^js#os$r*bvScG^x^tJENocWiTWUsrQRGa`ID9cnC&DMPgGWe0qxDapS@B8yA;x z?ol7yT^q2XwVpc~@Gbw~siHwU--+-~ftz@zx_!&-+7(aVB^*sWFsgutro>VQ$X&`< z>QfA5#B%i6oQw=U+T?FAeR3asW4fQeJ}gh8#F=*c0K6hxFoN zwEzI8Dvygt|B8(4Z@i{W`-$-Z!pCp^*e2O093%P0yn2$Sq-WGl6=WZlVm?`US$oy5 z|Iyh0Y0nrO08NeP*8_`I1bJ%$=LMfE3$do%BF#8WGi+&I`$lkH=Gc!S&b8okFL~q* zePy!FgxBj!##BZDF$w_1JPK&6KWV*$fKeNnB?^9PxT78uRp#VC;#lc=V7il#lJStJ zi;Yr>$YF!4wz#Ilt&#nDrC|40=*L(Q)+n?#ySFEiCL`|2FJ#`?;^YBz+jU1a<7ZPo z$!b2FfdBsDkZt_nn87KzXL;u{uRA+ne#`ZOEA}@U;1q2Z$2eZc=?D!|(hFep9EdZ_ zzUqa8xq zt62q_KAnvrC?=CgVvn3MZ=zJsDveavSG#2|#H`L-`{SQw6kmVfdcp$9Son)tCuwJ_ zgp75{#{OAk`Z!*d>7Na73{@P#<$^Vz0SvUsC>Ez8S(-Wwa3CO*!ZtlY3Z{2Jf7kq^ z?drsKUgOE6+}F%#af5GXo;svzC|}_bxba8w)hc+d-+ZbBfh7V9U~;WTqhx>f;s+YG zGwIubR8N5ICh69sOTCg&!qP^f7Zd2+hK16kt;kX9fB_#nNxH)U9iGAB8_Br)remuF z5A*hf!{~2CW~YvbMB2{VftxiLzn{f0{DI0L<3b4aJ53i@qlLgg0~^QWM}))8(LFoG zJ?P1P%7we0YNs~68Kt+u>Y80HKa=w7Z?=bhvq(@U24AgzLOGkv5)O+8xC}max_c>A zIa`LGBFvDc++Hj-1=pOzWm4Ip;Y@6$&1zZ_ov!~9d{hTUN_>ms@NUm)LkPOkf(Y+Q|2uo;n6UNQod=48&uEn?0itf=Gf zyR_aQ%zM$5d#$Mx%EDL67+hroFGNlZrdKw?ILn9uk#5$<7hY*WM#r`jqtSCQpekG} z(&)=7o)FcHoM>uK6hdD5%2B2a|u$GX7?J2U{@) z?Ei4IVCiu5awcmSLwkxe`J3&VD!Ow>2Z#sn4pLKrXH_9VS+}tHS3h!R0Vu8Iob!P6 zw>#Y!P0XYy{>^r22vD53OHO270HmA&iTlB5^ufv2RP1?X!cla)w%$c)K*;z# zRG=<0JW@M$<3eYheTf$OM@(tpwX2qsb_;iH(%z|De_%u^uzUbXk-eTuxMn>Gkd^=A zZG8TZ4;F%M$HZj8d(Ff3_$YO6oN;gNQBWzclHa|dN9r2xDO|Dp%+nQQh+j+7<>nn8 zPYEyT>o6Yh_%Sc3n$Pby_@8(tz+LG7(%Z^?rT1b4H&-xwVRTPGK9}ZAH#C^wx%Om< zrcJsrZ`mv84!d;m%(fBRS<_I_|5`=ke^o(%rsVzZ`AneCfe|WPALNSwckvIEMMZrc zf31bgn6(O$d(O_Nl7AKAJIFgdWML^bte{x*AVVUx36u#c2i%0r?Q5A8dVEMnTE!e7 zA;ALCl!(PmqQ^QQIZ6!^PL5uON}?MxHSciEKz|4`g(u7#u8)O$ zwx2|7{^YtqLPu@&cZ${UHkMb6l}f}5^HbaY;=IA3${qG?=ra8C)!eLrm?-@a z{Zhgbs1qEC2el7I1@niq1U=ImHKLGePtIl**iM!GE|n+V5_$1u*ZP6n%NW^3X{o8{ zx81j{c6)^Vn@s4xd>#MWJ^#)lz0I(yW*YLvUT#Mw1Omg`M0WBtPY85s^BsBU6aT-tBXlsHQ(Nl%47; zn4Qiw3>gY;9@-`NFj-flB$N?~%j;R^>nO|Ja zO661bs&Fa^7?!LCKW$3K8%fZ;o1Y-bHU?MeoF8C6zgoo`?0H$DK5WOJ0w0wz;h~vX zc|?ohu*PQRmPZ#qpv>0DJ7|c7^=`{8e{W^{=GDb$1!p^JNyoC+uWq=l8w81d?dH1C zbUiLL8TR;pf`0$mk?0A zzwJK>a!fsh`+4J6?6IgGd|ueY^J}UWk97)(8Gzb#2K5pX69#LwFFLS zUsi2wslCY)w41*``sx0l2YE^Nq9P4!+%A!C0YyE)+xZwdimE@BKZ-hv&=OU&N$!xp ztR_4~Z?R!bn8%7)N3;yA1E?T(v7yRwDO;;!UT3VWeALqHbQ`??d><`gUx;|@P;}MusQ;JueJ5f{mQIAmRWKkA%4pJ*UHXc zxv6aT7nzMM*%ahv{uwtn4V@l=UalVf;IvAJF-38KGv#@=rQ-lVa0{k_@QPuomsE=S zC3dW#sZKC$cQSu;!1_*`{kYmBP-~3M`k}{(knz4fXIf$ z$bHw7Vol5n(*o)D5Yj}c_pq-3!E9DF($So*Vq!Z}Z7L;R=?Hn??tjic+W2;1MmmH; zNN?gQ=|f&_9U2IZ!m#`^cpg%n_6ksB z^Iwen*67|DFSgTj;rd3#h;x=i-yGb3@W%3sEwmu|DHv!YRXhHSR@^u?$9)p9WX|<- zLd$4k7Z!TYv$A$(_@=bM`G(&Zwz%L_;dt+w!YNV|N!R262lp41==K}1)xq+pGKZ(M4uhHWZ?BGU1@6U7LIA?Uj2`J}P#H>?M%5OM*Wxj{w(@J zdVKk>^zhgfH6E*2yH9;6{1Ym%LjmdHc`6R{NYHlOH{xCo2c=dgk6c*x56gA z(;ir*e@dc`(o}646co>rSY}PCUJdBIO5xT&YcMy#Kn{8rm zs!=+(d1|h3LoE;alJ*IZG0zbxAKg#{FnMG|h-KD_%X!BE1q=*@JvlD%F@dV49hUul z+U5A6spMDFXTxZzG8|jW)}sHuM+aa#|F7ZMyx)=jw84+4pXif1*7Jmzy4XURZ#&+) zr{c@>`4o|J2E*z@V}C`oS@cO9=_~p$cB7%+t?0p~J?md9xM#t?H zp)R5Z@giXE>Wm5GEjJP<{FjG)S@z@R&@U@>he!?h`Da%e@3zmR@%x@DR3S-sZcQqT zkT9`2!gLK*7y7K8G7QJP8w(h#UORxE@AVb#Fgowh8kQN6z#F?edPG$&z58So81S?j=+Yp|W@V z4jqB|i4p~zG;~=%3CG|%N~F8*Iu!MURstq$D!b+MRWEdn|IH?m)Gz$0T{d9RF0~j0 zgi=xW|A)G~H1Co!xZ_Z{i(*Q9ceCrW3v2_@IAeQG2ls7xv^3Z^D1^@v9QcWQ+ zQF$1=EC-;m=8Vzth$x1Z`~NWh@%qR3Cz5UiB)Gx<@#4SO|GO@PJVt>L&DZmZiSc4; zWcD`2-*1SxZa{DzsRF1bgZc2l`q1O6^A_|O%d34Qztc7{ZFJ`4eeq~p??-%Rzr_<+ z|J5Pkkr~ibz?7~tMYD5$yfovIo?u}2rySt>DrDv+|6_?Hb zy3%w{NG;RUF!0Z|L*1k|HfvLjUn<$Y&TWaVu=R~8G_qH$Yg;~Cwow+~5|}32I=%ao zTa?QV3-krUkO)I+$QX)!1r3x|=5q8-(n5&P(@3L=u>Fl3LGoBx%wgP%%%hUuZ}BK0 zvI|TTlj9z}NO9V?H&)>4F?o2`wIDTj7ua(jrv978#XmY1|L;D&1YVXr!etK9*#hat z3HmdoJ6Hn0<}~;Z3kqMRkJlExQ{L8ObA9*GU*eVWJ>GdJ2YBuaj-929yiJBj`T;(y z!Fr!5VzZ>R4sMd-snteaT#U5_10plL2smJcjy<9_GD;`^VkN#c%p_o%)T`Z_IWz$q;|B=Vz>lne3+|C zL=SBDXZ4Hyhb`zkYI1$OhpWJBF*5Aq$8BeqYO}uS53(?G*dGL%rZzQ~g58J$>cE=7 zmCqrSD3bdTI)WtO8A%-r`I1r)HT&nM8>gyXfkU{Og(YqKt_~Ze3&wM@GM)Zr`yNoe zMZe4sK17G%uHxoev&>5A0Q{uA6LS>pi578~#dgL!uNh>`Tg8CX@fJw3_pm$`38wD2DIUg_>Z0v^L42g~BzxTbOC`t&rc$E@leY zMKKauzSSWNI>!1Tc5YZl?&G9E(Uqy2dP6AU?aZ=5@zAc)*O?L$IoWK-h}=^U)~UV% z4?sNtGg(ZHWxi|X_AWf71G$2{Q#X7m2LJnVjA7zK#Ontl4M~#z#~VC;$8E|VIugNr zD=1xZYjznz+@fM^*V_rN-7mbRIUW-7P2xe{HA@-U(gl$*wThT08uR33^@nJzBNB-N@)me6XN5x5CLM-AzUqnFCt3GyNqdsSupHQLX zy05{7i!ef^=?bhQIrfv~d76kLQ@(L$V`ilk2rqM6q0Fe(3#gG+HfA16a}@`Gs=DBu zh+g90TeVN%&QL|;*Ut67N|0+Qi_^~ISGbd@(QhOUJU(px@%`bS*8HAcT3Fng6H()_ z6O`}MxVP(QUYPezUsyGY^RvVuC(VI%D*7eZ(~+CBwV_Ya%=w$mincPZy{xL~YGYMM zgBj&Gg3YS+odejOG-SRy-S9^uZU+jZ%?LqHdadwOHQC+gedt=TJ@ra%9!yg|Tpb6z zVLy{Etz2DB@(e8hR(d@(+RCEIPWh(5K_{{WviTt?#m^<*K0DO~kQQuEXF{%+d^d04 zb<2~P3YY;-_1c3SD7tE*a4N8_e5Ka+krz+i^_!7K5!MoOZfrR;@X1o( zvtdoY3Cw6IZx#oEA;PFJ0?A`}(fUgH7RyOG1df**wrl|o!4U&gGvg{PJC^~Y zL5TzbhGui(10Vs7+3gR7nl_j>={8fYRn#9A7j^sb9{hv1c!io}rviy}7}^WXsq-Y* zoub(8K!N#4NHk~ZPX>9L%}=<-`k!T=xknOlb>C}jqCA{8`}~0BR6Mkb{o~E}c}-{W zh5|a;g9%yQcQOU(utuQd2h3wsJ!U@g$lMm5|Mn;YkV<{K{LBvr>c1k&Gi5g$;29Y1 z>$TmZ(R(diJo~%ed>RlzJlmQAx8cgsZ9wZ5q6;>!iro-O$AwDW<>TX< z+sq-^2s{*F6a4F|oHB&~aEoKXCt7(?-L2Q4Q-fx86wvEt!*fGXk>kgF(WH<*^Fx3V zdGy`3V|7fa;O$c3OBpXu^<$Sn>(X;@Ayg-@;P~7BjS&9ak8mCwQ6qoZ4;&^`iz_Rr zC_u_LCVOW4l{(!zZX{MHSvTq8(09!B=0or|o2m3>l@(AFS2KM_b z^uju;vC2m;{n5;UhA+!OJ^MWsU5R63gqAU^fEqRSJmWq&e(P1uhEIoFKY`oHQF7pC zqIlc^PoDti&yR6)XG9Wm8|6ccYsPjPoX1K_H*+~{C5EE;Z|KauSw(9#ec1hiO_&ml zzR{tvUDU0*GLWC28827n&{TD>19bcq;X0a6=Hd7tBwRh3d+_7I(F2mzYpJ5__w>-| zd3*}%Y-b7)(}Ttv&P7FnpO~0{c~HaShv92}tta&{)?qU?GV;z1F!K*)mB+5#WKcdP zv8>(Xf1ukxp)1WhaQOE8@= zoqCZSn-kVD$T}O$Ow{88=DQBq9UFxf0gUQqRPNDEQ{43_5AD_B2VavMPt=&$m2OI; z2?^hfS&zIZ`E5}!sqW+hwVoPK@%PeE%R-dno{?O@SQ%U{+uC_Crn@K0bT*(BFW0nR z32_PlyXlD_054jw`v&`M8eO!kqIeb&JlomzqEEmB?hbP^`PiS#*(7*GB#aB04fR6S4V8_bl9tAsAQHwJBM=}SEMY10GGq-Si1UL0QL#6IBXec zpzjJ~5yw|(8WisNn|DZ9K7`XS-74+UIr-7<>+a`Y9gPl%zWz~haGMfCQKU&L)%?>m zuSd=9EZ1)La#R1jA*LHFx@P)aUh>x2{Wh=T`doY0?ET>w3ISG1DIX{^%Tn^Sb^K*y(A*`xypV%>3H?r zNQX`Co?(u$?vFnTwza5oi+fsUWxS04%>o(wLlN)J;)DXSaKN3Ct#PlZ(3;37BKJwu zz~5|q{Re*SU`&B_u1fsOe?5tbYhzJSX~)0I1_vo6{_#!36Dx3gx=`X_P^ zTKL~PDs(ulOIqdmhi;59(x$c@*D)&_NT8^HLOzit{DxXhv!F|REKDQ3R`0PSkPodN z3}qkfm)wk{qOny<_=P*fDclf>%99p<-A82L~$_^~0m*BYq z4KVpW=y#cE2r)D~xULH)1nngz9$zWAAlt%d!)WF{Fe$lOLR5-E%c{g52w})3Aexj^ z2AvOa3Nbiu0?@&S^mOWgI}}6AKSbAhX+V;%WO~d0d3?quiPv^ml~d69wjrD1cLMo2 zdz3tZ#Tg3Be9AaW8lKo@13jnU?XxL%-P?O>HdNijI&J!y;|2#Y!MOMGu|>7RZtGk2 zsl}m1#uhskF$u8@)0sV3+Or5dMNdwfA$^m++6C;N@1NZ!31)>IP_iT7^I8Tpf=}>} zrQ3@wh_6dvIU=-_&#L?7cn+!BA<6eX1<593@;@%!>%5_O=1vjs6l=UyolICSrf57e z|2^2&Dmnr7N=yh)y5-I$26=zt1L|&YSA zs{w<19GCaHnml`(*3lUR&id>Rd_bwcgh8iST+we=y0YV=`|&$h`ko?qCem2rAo6X( zq&t;FoA`pf%Pe9Env(_vyxw)fU!bL9YJhdxDUhIgPkzht>Zt7Q-3LZbHJ?h5h|;F| z-~h{1Oo(dk@H$3vtI2H5Z~Uu;)yw4l+~i3$zv(pk)ce7QDU+YkEDjJ|3qTo}GNY@Z zQE2XFS0wrcG1SVcmU6Q3%69UOy+)N@?)mFSb00MiMF_Ut=dry2y$?A;zmDpkJcd;tBTs6om0gT;)!SyX5jLBHc*R3!rt~YF?BymE zzHj!MRNau8S_-M%3k<0%t}WdQfCMiGj{f7nm=E>_9RmHzqd4;LERc$CSL;XuPO7by z6q`(Nyq+e5cU0A*j1)q5fJW4%?@YIe2#P0ImEMS-yu-F=D|2b%M!S*YZ_~*~hcV4K zYBsa7RRq=BsGj6c+3C7-zkwq9dt}#C;pfkJ%dx$wKl=j3;M#|XHGx% zb@~MT3q&@Nzk;4p1Uv-kjz~Y+h)-4;p~Df0yh;|Re}s+N@Q&-)Szk*&zo_Ss$v!|o zcqLnAld5|dBP^$>v5;lsaEI+&8#gXr|i^Jw@gd}c}4F=(Hu7( z-93AaOz3pju%GD8IT7MEvC9QFY#Q2gl=l(e@m@$C-@H2Ad*x;2RoUkTFHeb8KsE44 zEoKh*2{@i0$WnCj%2JGI_MC^Ag6$~-W3zSg-JMh7Mljbk*I}i2*Nh*LYBATJrUrQl zzOqQik?po7e*#H_{mG*FQ0V=M8dIOC&cp&Qy>sIwSk+j1CZD#g+P$Y$kdZTs?Gf1H za%&SP9b}g2_yfXlFj6ECHJ*Xb zp}7J5Ku9m_>Zj^hF=+OQtRRkJm=*V)kpExL1?xQ>T$Lh|M!5!Q5@-M%GB~M0l>(eA z0WbI@3bQw2&(v(HOK3UvyUBpZ?2p5@ciT9lU+x%ObU$+4=&|Wz)PHFS(R

57O8 zR23R17r>WhRbM0zhB36Hgis&qtY(75o(-yo_rDPTz6kj3^lO6Ewb*1V60f9Sx_0fK zVMC;c{Jmy(sv0fseH~s}j0-T^8XrHXsdn6rAH&LPAIiOEentZPoo*Cc!URBCagRU> zlPm%f0r<*W9k4>3*ErDu={zgfK&Xs-otRHxRfX6fBo9l9x*yaG}eYR(p&vyZK z*>)p#&mQhkYn$N(f`b^8ZpNB~o&~$i2;Xa@9gr>;JfbD6dmc(w#ajiQXZOBqJ?mZXw|AaT?`U;DcLzoO7pVTZ92 z=qFry%?}MnUE4>ij^Ft5Sn=PSjxf;U<6u<+*lssL2k#2;k{*FOJJg$^ikFD+Am2KfEl6Co8f;&m3jh zKD^y;o;msWnSA@QH=zu4FSfyG1Lw0rw?di7Z=f@0C^A z9gqJIwmQK-@>X|azm8Mpt2E2D2TJdA1y2>A>ZpKLPWfXD+G5f!>;f@(Tu~IBM|6@r zdAtkN`0A^D2|gizoAZG$SGH6dU$uA{^XyW6pcKf)x4$EIII{R{T{p+gg_`05E1IA*h&}&T^iY0A5wD*a>UwN( z*#H~TpD^TATdKg?9lkkiolOR#E3qMiQ7%vowu#kSxUso(h#b z5h;=3rx(+==Hqu~U8QhCnB`bf(}00kZxnL}SkB`{c8k?t%MGHxVa{fKGID7zebSOkHJ`& zd9^Xn3@>V&a9go=2EJcHXkjGq)xE}dt8;R9WDnzXt6!}{V(qnmMTX-eAmz?%ZC=YY zP5r4&ozmlAeO_i@WD(F@8OaS2N|c*-A|}{?A3t=0Qi%OkC+RURZ^kyfN~;2C$;j|G zv|l-?!aI#gi!niLt>6ChZ~V_O!WhOt!|*a8{Hyina=slw1OViNunaKmYg*M4$TsrQ zdRU0#g-$P~%1j3bP-_0t9E-*7(aCm3dmS^c_P9^T88tPe{ zF`q?fcxdXJa5Cn1V+urGB0{CB`@0AnV+j;Owh6v2=zn!Zg6V@J&HoUl8oo-Ccg=d%3CCFsd& zG+mr?a%@@5#>k7&amcVcwTD*hWTh*GWla$Zi${^@^s|>5?%1C1|7%$&@_aNfX7IJC z=p1tBTq&B-iAz6a~LenBBzvzMq~XkPu^KPIl;sfp;l3!x{^meVZuefnR7fCa+%q>5NApjenI=f@_xK z@ce5L509~bBrYlcr)b)c(q`^=#;1}s(dNmM*{#ddplj`mYI~)`eq52Yj z$to{3mpDq5!#rXw&pgj#WGxg%`)++#`)IX629}wXTsHw1IAFjz4#ul_L)ih>o2j`m z^}t@Wz^wrK&2FeY^V~-tlv)P?7lO>lym}~}g!@FbT6ln`?;&p>o|Ha@PB0)f!N{$E zaf%9*+gG||YAdn&Y1(D)ZI#RTi{&XsKO`2vJ87s_p7)gFYEQ$K=dziI^O4zw^!hRe z`p6plr=-`&I6#pRiGy4GH;M7mn!*{l=F22^=BqwY?&{Lmg8(IF)B6cCjqRV-^J@9L zPH6~TS_I+3$A%rpk*&Z5#=wy>UwDc4m;8`ZbXM!wkFOWHl->p4tRm4*zR*T$G{{Q)Mpn9z8>H*{A3Y*W>v3Z317V zS)irBb%mOBx!Im3oI~%g056_T(uSClI5!Dhm?{7f6j+t!(|#tBjSh7RaW0i*{ZRwxbP28k57O!x00h!VTlQ?xiAnz#YixM#H{Oi5MN4_#4NYE z2`%T>N9Lpa=9A7$8`|qQAUhKbr!HtDl=h`N4Kf3XoX(5z2^`=p?`fELQtO}z6d3=nroIMio$a(8q zUeBrE8fE((%|cAzM^s;2k+#PCD!eO{-Z6`HeNma6US3B)dv}G9tw_dTpm<8lqT^-y z;0q}QkQR0iB#?F2QzWgv=NifBPp4Db%)0T3$HlwPkNW5b(}(|ppV$F1_`7tXI}O9D zrt@!)3~L?Dqd7eb&0p{N1At9zBms>=X$=hQEc@1IGKv%kbqa8Co4yDm27ajDG1``k= zcglnPaMHJ~E(`UXUHkAs{Q~ptR7N101MnrEOAHVQ)VHGkUnUHUC6uX9%?~ahe;`{x zsi2_-01t?ReWApF98PuPuALVqAD8>R$@L>#8MshU=VEpwz{lm(O|e@1u>&*3Mkq`U zV`XvipX*{*b&IUa(kOH?r3lAW|YTtp*mo3xq=o zG-rQlZ$zpWEloaM$Y>%|^(#_uT;;hhodrGr|80;2Pi_*s?{ct`#z~S|>4Q1r^j1ck zEx$Et%ZMpU{HdE^Exb0Vu^^~B!Y-rnPDC;{cRT6vWBn{T?45;HYa2l3g&?QG&FA<` zY1Z{|B#pp>KP|k>R#TrJ~7a$;VK7CoBIkL5n|W@*N`h zXw>;=?>BvPvhRF@jRza(iYD02DG&M(jSBY_QDfI&olSlN{o5jyUIY;Y!NQ?67)cqj z8xz5%_h`t|;Xk2?1O9hgN47PJSL%8vtCQSV?`^~!E0>fmibdLij4xdk{4k+BilHk9 z(dJ8BRdQ!GpNaTDVYml=+_qYcxD<8>ZdPPVx|bQpZ?Cq^*{GA{)f)? PzwM#?|M%SW{~Y`mtm5lb literal 25010 zcmdSAcUY6nx;GjG1f_|Hl+Zy@>Ai!95Q>1J^d^KJTIdkE3J4@L0qH6tA~p2TYeMh6 z_g+H_{qXK zJ2%Zb_W*bVxA5?9-MURce23^R(GA%xd;&ts+eG(SsRY>Mi62l4zA<|N4N7=O!!D$y zGc+uwt!wTP6aT%GCpvc>I79TPjo31AS#DB4q16*~!{QtHn zwkJk$@^A`KI;N=^(#H<#YSJtaV0o>77Pm>pcKqiVL-lVcDP63JMfh1*(@W<7Phj$cx>#oQHVgG<8*ZR9K*P z+r|d4B_8+VR@}N1S7N*wR=uiCKdxyxZ$XeLj7>}(zig&Kg|!g;^=d%H$-msa%t61N zpx65BQ((JGq>_dCy5v#vn4Y4Jtb{%RB4RkTl15x+3p(UzmGZrAJAU(1xB5_e%%TM1 zHs9}+Nb(Z(5cP5(G*M8QVZLCka{@PwE8VgQRICVDwZr;94PSbfydocy!m$1o zthd{p{r>8Gj>X@2s)~uOYGM*{M*Ow10nQC?TBKwWBMu$oo`%#=T<9^3)|BEr-xD?T zudHv{PHe79*1sLd0nw33^Vpbs+P~EoNO{OWSL+$_HQ7z<7jrYjK#{7`7|0)6XP9Ic z2}wZ-#Lr4!o%MlfPbhKgb+du*q6!x4^U~C>0q-ZT+OjI+leMfCEF{vMY?lj$yrtE{ zSY&0L{5*u2n;lOsw5O@@*B=;3GIu_g1S5MbvVE?UqdCS;$(yz_qK*BWm&Gb|Rb6XB zsqn4ZMn6UOn>k_%g(E}QKwU&_gN5k{0mDpux)jY`nk4X*9#5%^Y=fP*m6wiwj*z&d z+o`Z5;Dr1he)DqxnFG}_(pfNfwf*hq3StMX(}{iw$v&&z77cV6uFyctcJ}i?e}&1A zgEu&XG-ys777Xh0Cz%G%D(P8dd;Te1WsJK9(CTwB{$xgRvBD^}i6AFy(N zU z_U}tL2@m?&^wJv_`jdi17yI8EPU(feUKJ%0g@`L-D9FbN03g?zwRq;%vw+~mB#7>Q z@yu3<_bKOSvKhN@uTbxth@-y<-dq`~} zb=-g8%#*%BG3ZlK<`T#3&xx5PjKzU`CqJ1xhs4AsJ zu0})2lH1MJS2+D5;y2C$NDHrAlv7vYfEhd6PVKx-kk8QdPBqX+XODM{;2*bsl4gft zl-wRA8W%Om`fHT?KbOEXJc1ow1Mn^$&g&s$*RPN~&+-tq*MN(4cNE7ppcK36KP>t0 z=gB`PY9Akce*<=2D$e_r&uZwrPABGhcnx^O(U+t*>d*V$RV{RhLCzraAkzAs{XTcv zE7^c3b)T-=HL?l3K80p+bAopii}myvOpET|d~dl?_Y#pS)zN>UgCR}YK=?qruGeR; zlAi-yn?+&rQj+5XTQ{ z*yrt;Zb*Q|duLv&%W_%6{{QIXzZ@K7=8EAu#GSiD{rV1L>Pv^#4P&1=#Y)n zHv;=OAq!c&R>!Teg;q;|U9(8XOsBLEWPR{2 zKic9-^x-VyQEDleGp)>;lTjs~rVXvm{xkgX$$b@jywD2RXoeG)sbX)OyUt=>)n<$P zOFkj#%8IgN84S2>zn;~SS&6$qpjHgyXU#*~zUrXgj?scBVg=%q*V#VTw!|6&%(iEa zRwp|~``=0ScLfA8@+>jbA~D>R8=v|F751vE#Rd5Tcu&OakVA&v8YzdZsWV1Bs#l=< z8^z0?QpkNh!M@01kF)1z&@`DI>tDcZk<3oDp!5y*j3Onj)FGZ*@s(T_YQCR;_p*aM zt^v&Iz4qTOsu_r8q-xmyM&UkKe`L*W`2FI0ib&;lUj@!W_uZ91#7>Vm479=$t7fX2r-;=E(Wvqht1Esv*Ai@K5iN9%&Hj zO}z>ex~|OY)XBzc(wSxkusYnc^jCcr^A7A=rQ2ym z2~?_W=fzWV->J^MWJW29W@uTNrIB(_JT~bYp~NxmO#724{v9MT8n^f3E)YeFJ<{QN zw}m!OrURDO{FmDrA8Y5K&veXqc6P}>qZg+q24rFMED(my&kL?%xa#RpixKCOMWj+2$6X$)h_-&f z$!$^DSvi;wPPMF?!Sy9B3tp^roKTAZk`px&_%;>1nY-{vL2e^zKXaMSaA1a#hhpWm z8*CmbEr6Qtkj^4xEn&a_m~URNJX>!H=* ze*-=KH%V0f$7Y>&IZjh*Rj$IFouW2+4jGIiuB<-nRPHnOUGV=V{4Xy~;}^uI**}EY zaDJiqj%1jxcs*GaGJ zc7D9&%?x1L#+$@7*l+wL+!Nk6sd0E#pQ`O6w!Bvz424c9@;MM>pI4W_ysV*Y zN#OeaC%ige)f$gIPx)lM*WMygB%g(9GCOF>?P1_ZNGSl&hrd*>``Dzr>PwmkgIf|^ z5I~+GFEZvp${WAw<2fuY;7!4ey22H3R8XU&E9SUqR^7U_IL{I%wcX6ZBuysJa{AUL zr`EZ{p!qN~-t@--WBKA^L`~pkF{lEGxI{S1Ayt=l-{WWqVzZ#y4j zr(KbmrC%akyI(Y4}c6rxw` z@8T|e$mwuhX4`PxhdP%wU;$pqd#ONBJfgAC0 zd4=LuH+15FIL1D#xdzna{0-Gi@%5(IgNzinQ6BW4I?-P1{#XI72z~Y+NwHy5&pAX^ zWCz^b7<{Q8Pa%9Ze}vTC_BDI-OMkbWWCFdrKxVHcj=Bc0*7b?irglwqqq@Li%Z`wnmYeg9~p0)}H6~iE&wEQrYbaR5MBDHDH$Pjr2KfPwt`O z(f<9`$)p^eZ8P>xeNOwB9yV`4La2v__*(Rx{YBM|e=l=#;iC@hZ`23{o`ML0){6Qm zBap=+W;oYKSoFE_&JoEhmGP7s2o~r#aW{6w+aDabe#G#LEkP)HX_J`w3p8$HUxnCl zOPwYzb1tF6dUiFR*`x%ja$2G8GG&*$Xn*WS$9})EELQSq(i3>gEd>+sHYZ3P)2QXp zwpvj21TtrhzHeZeei2=p=Xk|3(#jr@fdy{k!^TH#dy8uhq8B(eMAoef?FxbDmu#Pq zaMCYu-^iek0HZ$4h%GNiqV#5|mrjpD!iwJ8mKNG7x@RNYt-5j+-RqLKuF#^&DQAW; zGoTFSO=e@Og}4L97DA7(qx4W?JeThsOSA=`sKOUd8cGN%_i!7E<5TNP zUu&xpVcXU*lRpgeYgFCExQ;nB4o+F8PR+hQ3Ho3>(6y4#(pb;f;|&3=%vDv20&x;e z&PHDMl=y%q>5Vg&PbPY=0n4v`{FgZU&&DSOa-XcIPt0>9&OUvfHh%p7XQO~LTlpVBkW=Jj!hWUoY>_#ZlD{RTH+^W zg6M+|XJh@VN|6|%j_p|XK6;i46_gT*hn=RJD_n&XDORn%%fqw7zWQwyvb^d)M>!CV zw9dYeMVph>RO)q)S&PcZa|f!idOEx1lW%_s^>*^|bXr?ivEt9`SVA5crB-FpDTWM_ z;VjbXyK7fh=yrgYJW|t{TEG9Djq=}a50`qH-n6h)Tn^&W$is@&B0KpZ)nWygu#jC0 zbiY1%E8DKDV;iZ_BFYM7Eq=LooOYi)Y=16T&iv@F4dqR0$aeT}X0Af%60cl;{*)-K zo7zw3s|b3Mu>IQGyN)EnXKd3b>rCiK+gL*PghXUKj7oK3wViWh36{Fx*UopcSGM#w zcBa2b6a)9t6=Z4F#yhG|X|Be}J&mrMoCSDWSll0-gZiLvN`132u$ucChq4Ls5%Y{( zjr;4XTZt4}wOsc0j;`I=FWZ^=8c0%C>7+{gG&4rBi+r2mR#<%I@J=cfhxiX;nnhxZ2`-xhLrPcJ9XmTUQ`y-VpE}hLh@0F@y zN;`3q^Nt&3wgcZmT7i-tyOP|wdevq$KmEf)v_H%HM!+`=74QWK9i~@GE_b%xB%14i zE4X>S+>?h~iix4>{MW}WYIr04+2TnVyzJ`rEyWl3i-1~HN=3N7=*k+(dZKDDy6oF` zuWU_R;lqx}j`ul6xsID%2{T*qNs6Hvj93xu!`j(Z@%wVrwtsUt{z0a==rU{o6@?_2 z6#{=+sQVU@67G6|fhA`euE~8e?JN|JU~FuB^v8e35?VyInuX&nDD}Wh4CdZo6Z$#X z&1w^j&FNsWUzkbT-&uyaspm=Nl^VPZ3Fg4veBu33@?8Ca6msE;W zm=fqJM=g&yb*ML%e2a*gy&i(*ws z?P00(N>^<33cja6Fg<-ke=XkkVwG!v{)y@D@Sx7L<_*`pheVt)OX^)N`qtDexoOo8 z-Yby&gmuyh8KBpz=$VY>7pJ1QLChGp9yB<%*OezWiqAci-EsQV>cM-*Ns4CnDK%PR za{u$1MCOmSRcuf4t}H97Y5(MX*nH^XX{bYce(om4$PvW}Y6ins4_L_HIq$TuAYJ^a z@?Yb=CT;thJ~gG$5T79VnQk3Yu_D}GyviI+G_?l2_0PTGKe^(LDk#reLXE299PS1f zC!;OLQz(7X;FMZsuCEaNgEG1;oGzb@En_h9kv8L;SODKrPF>1Z9qfS)FSWykm)iKzYyqA{Nk9*Awfpv&%r&55 zsXh;?yI~1+7j%1Uf4K9!eJ;MP7rspn30;yW^qVOoeCBFY#+gmP%@;Glsg7^mfDL%9 zr>kc>mN~=}i#^|$lsfi)ox`OO^_?-yWNdD>q6u#{u0ryK%wff=c*$`F_f)?zLlMI_ zl60A#C1Z06K^I{h&!QBZCh7-jSgVDy%hY2Rf5l@QV~(u+JjJg#zJ8WV($#)_qZdja zsb2Qh>LP|5Xlu)ka`8&k&kgV8-!x=-U3fZ~B3Sczp#Z#M&Gz@qs#>dYi|!#vAUl%>F z4xB+>jS5ptS$UBXJ$v(8ciSbU;>35q}?R~usr+SG~J?cG0fhXpF{O3t7!a#CntjY@42(Jhxl6N;u_pNl)!FCFUA zQsGI9lyU2qYYPz2`f+9Tq5HC}cchGtEGNO^@<^7?M+wx zr3Y$LOl=mNr6%s%!dSCfNK@}s41)sM ziwf$DkUgQ}9--LR9iH<=1Th3!Ojqmd)=sNqDx3=Q$6T&CKDDW?f@DW#1uH%&B_wmM zh6lX%ffDtlgc@s%-mL3NY%OqCa>Zj8I3#64!C^e1Qz@$AGw8!s{%IauT9#?Yl=VqS z8a-AY$$CjVHn7S(hWA>A8#9^Nw4vADV%}jfb&)O~IvqC#jp@Jowi69M~0e&_KiPtzgdJ2m?@f6Fwc6!3UCOv zrzHFRfeN|k1(gpb(~)w{QC88@zCgEy8}6T0#3Se~RGK~~k&%QBwn#kHd8?W-QEDpC=_;b!GfL zHtJA>8e+**?_9Rrjyd=E=DF3G zQp)#d>&YQXQ68=Hln-=Vq>5tJ+NV0WkfY3x z>Z9}{7~hY;c*cvyKK6!WS@#?(so?EE@L29M08Tt1 z)$;wL<@kJ&y=H$__)pBMUrd=RbB1jfI$Zd<$m$dZ}jFFvo@IRS;H;3 zhTANK;sv0Bc1>?sljWy;V8}@`lKxEQ2G$BwHDO0v z*&#J$-OgBImV2P`c%)Um3X?bWv@xSts(8mXjB)4g9lMr;nxpy$0wx#&*J%_ z=N^T)Ye3GVg}xU{n3`QpK<915323?7*7*d#wuNkSK`wkfR(Sz$KzZcWT%VD9u}0vf z1l`2AYcm^{h4#gv*%&&{}>mfs>*h>W1ZSmv5=u~Sc-{)*+( zQes|q-@Da+8e4_*%@7LT{AmOf?J{|D%1u{q%BhtU-0~`1YgX0cq*5XU7GXs4oC7f( zs~z>hr~>lEb&PvF+2)V+LP!Y{_N73oB^`+YMbR#7`uhP?PQ+gO>ie?&f;hZ=e>w9J zxHw&!nPohw>B(nieullp(_8+k*370GZd^lD>T=(yz(Ag$3LP+G)$~W-z#=YW&6|ap9ATaBg7^Y8QSdjDnZzXz z8bpia?|wzgDEz_!Jw1c+{Z+^QQsl$4BCi2yKHuZ(rx)?V zhVcrqSPj>=g|sFlno^Nbzyypz9fv=6m7brNZ647O-VE_UVdCmybpm$hO@jpA!_a6w zjMbiR6yHO-68Sg7c|&DSWMkNCyJH0n=6r=KW*v`>r=OR#K`S-P(kqhB@22x26Dfo# z5b~V%crD$)F^^ZRU1U4BKqngrqPrw)vVC^JD`LFrMTk~6?c?fq0V|K)90WnDXS^K# ztxv*AuD)A)KcxEYOJBwfhkow1_?hXL`6u|`&p-zg$840qO)rPPvHfy2Dkq7uQXHcT zv*vCaq=u+CTD4w$U|JoEcIo}eNwQFHfFykNP;`_PwN``db#2QhCTBA6 ze_8`)_PghskkYT|Ma2RE?$8h5R$d)*q zGhxbsl%qT&?RzkoVP>Bd%*6H&f;ICu@X~A6D}$38&-OzZbqZeg(rVOh-?3fa znG|eWHrDwfGysbHkj0K@#6^;FF#4X9Nu{@dODdE0^$og9w4CwBR0!^QFbqhSH3TXI z5!@qY`4q3vR^nOGy*_k`A@v+FeT@w}PkL0>aOVdmBt&$Ku@NhLF47vPGQ~Cm72gm~ zwe+Cc9M8+_*Y2hnbH)3S8PCwkjuq)r(|-<>OdrUn zu#tB&FOBbI)aJ+L*GgXlI(BXp?4QxsfW1@~)E^JCW}#tH4Hk#tJ#FK}Vp)@#+C3ej zea3nNk2=Ljx!}qlz1HnZLP8b=VxiW8?;M8xr2WFNT8C-+iwiM7)JOxcp`bP(g#DuZ z(;4HWdwpgU)sg6!2} z8VIA+7jOGtDse{1gU0>=+I^oHr`P${>_pFn8DnrcrLU)E5Ma($LA?ud^|2aw_yCBo zyp*P8VerQ^j>zW#d!jw_8Qb4>#uK=7Dp4zu61Cmd{&du$&rzbYVtXHbu&nAj#3U8 zg>qZg7%?b~Fnt5BjkfC*jot}7;F>@`L^Y&|wQr9)4@O0x?*oVThTgZ2TjutU!V|2) zFhlO|-((tmgQO%chDjOJC-*1S`<5%i;FMv(++uAs@yG*Nr||vAdQR#wN~3@ zI`n`<_jv)K$TQt&rq z4j%8Pq@)%qn4MEd56JXp#@W);i!ath$$12RZ?^>_?W14(4J(OYb~Y#q+PInxGd3 zGgb^`zV>8=T2_Pna)UN|%omx>Q7clu6i&%smuYi^zDn%BYM(|&5a!4FIBlg2?htN6 zYR8QF45wsSr;FqPQCtjQJh6uiW@Bx@FnjgS@tK6d`~xIv%Keb!=g!V7!FWXex>om7 zaTnS?IxY_d1)F-B?VS5LzQJfb0!hm9qi^@7J#oyO6Jp4WFljJ9h~L|{c-E;iwENTg zi=fhR9Nm3>feFrb@)M?sH@;30t_&2k==~0cY(g>yKk=M~bCvV?SMRR z@x8Cs??=euc1-`rO`C-YMk0~M&i%?(!kxVm>EFz+^WLD5CsJsM?6EO`Q z#>+@2&uA%mmWzWc>g1)=D1;^SA{-&eO<3ZRci((kF6SwHpXuaI(w;}n8h}_%uwd^q z!K?eI!f0VnRQ@)>MH^6(Iich1rD?CYpE*iSc5Q!BKY8i3!OteyBjA?X$k=RSzWu|{ zB_lbO`tJ$uU)GOra(#4c-0`L|nA(wLoLO35TWX3FxGMImM<>&z$q;?+CoguEQXls6 z)JIBJh)_@Ih)(ii;MuQ6!@b9s5vf%m)V3{_mPB3-R(-Q$vppLXT7bH|Lg2GGb!+t8 z-P{@Ge(&t|i?ap4@x<|`6#mOA_G#zYdE~N$2-A(%Qbh1ov*Oe5`elB1`y`c)+l89b zu_wn4-(u=sTj*hhhsTkjy^AOQ<0XRJbv;@Gr zadZDwp0!+XQi{FZbSIpjwQKzB&y%T8G3fT=`7Wl?_qo63vz~vc==~p+D8W;DT$M(J zl~kJN8^*4`+R;3Ql%jI4(<3Pu+2V_53EA&Sg|FNRVa8Uj~@*v|Kp?JkJ)r$Tt;kU{T3I~^&0%!IVhr=Jq5 z?K@E5HspEXf`p@M#*zbqQp6~LK1*s-Ee%PLcV5E3zMaF=45OF7t$T7yp3HXCWobhO zVTz^;j9|2rRo+UlswK`_`qR9*$PwRKP&}&=2~HlXeeK{A|;yE^^gBAqkO zmn7mf1Q^ynQ)b91Ve<%Eo}0nI!#SzgUlX%*!NOca9hx>SEk$G+3r<-xFY3N^NgHS{ zr!{t8CXb1JEfg)1UsmAMMd@TqZsV%V0uPpj9O+0Xb_!wZWH33J97_5YZN_d+JaRgL z03dRES~wc+ANTUZzK)x|r_Ac9w5A@8=Ha&yG0M1FyK)VeKDA{BU0HDh&GLv$Z}xWF zb2%>_#eZoX|KBSgdUlndxC`Iy%ZRq>C4Aw-$O$A@kaRw#ewqHoxn+JC5v#u4{89w5 z&5{;D!L&GvWJr1HX2txNsp}r-ErY>{pYhi25r?464zKHZXpz%2a2%Uw^FL}He7|J1 zOpv`%-AJaIMJ0}=R?b6Ieoq(nmbJS0abPRFR-b#jUx>Nsu%f@33wQ~XEh7`jU>;>H zyUT^K$ir%)w{W*b#GI|jkGpzfY=m_^p6_=&H(kp$SKj3(ArF=}7gyjV2A@KfVAjr| zpd#^%eoj<_zodU{_{CC1cI$pux<TbKO&KF(aQsK0fJh z2dRUOXLa8`mm6{6)gBXjt{(@a@2%UubDxUrIkXuzb8;KJr_4;1ER1ioSV8fr09!OuqF(`G9q?XRl*luD za$o>e^Emu6#c>nDW=}OsT9W8_)N&lObjpM`?d_oF1btP@h3`C;DXc}&S^#gj22}p` zhfk)k4lvRAH%^T>Kd_3v;&u0+y29q$r8OD}F{H#|<0@XBn_9f#ob3B;G){cc9XdvE z(M*RUguapf9~AE@>_5Tne^x6RbU;1ZyB3zmQi=vU{GKo7`5Z;|cN67o@ZV!-Vi={d z3594nv*6hHzEo32xU+W)>DX5t_Sl4oGflXJEyP^KM0x_qt4mL4WE%6w>Ft8gWc$90 z0h?E|5?Yehp@nB#=FO=c`N?nCA+^a)lN5T z@(ZR{v*s!&=F|7tqUZqgg~hkJE7OvQI{yfx%`#>+K2=khH~<()RfZFnwuiwfcOH1s zE=u=CE_`cPL}`c~Kg%R|m({+Q@uvOJ1Jj zB`>ja@N5GG3IoU>|JZH>YkD+D1%9gMi(5~W}?rTmon`8RQ)YN`7I(HW_Y%{9RJP1?&IHH^5G z8kcrt>;d>*|L3cLiTEaQ+5k?~W3l6c0>)1f2&j?CZ8}D-C)x;nuDU}6{4mL8;kq8`3Ng+%#las7OL3iXJYyY(S2gpI((0JPI@?Uwcih* zV>k&idqo4WZ*BaSsn%b5Ng}=~bmimK`68yzPY<#@G3AR-Uv?fe%6yw$wg{%8VhFg` zwE8frt+Mc6n-u??i2t}U8b%&&8kf1$kcC4&6%-jL-IsoiZ!aSJHtAo-}L%`w56{rP6ox{-Y`u}jGkwe7cu>6J z62F2zS@+sN53$UhTigFHw*P5`33r+HiRF(@{;Huj#riB1x0M8z8xcGwWKeK}YzuPY zm}~q7)xAc`bXv+;3$5sW=CXu0)9x)&b<*#R;++^z97}L>vUA6T+Mi}8QPmL zPF(6rDTRwNe*1p}+au7+e@YkZN4c9##FX2TPfch^X7CSK5hMnw(v(f@lm^j%b3?Hb@k^=Zeg;`V;9`%ZbFWq^L^?9Rg z_eRE1XNdoX{?(r5|G)l0Xw?LY52YdXt}ZQ@Wt_=7+>k8Q#38D|Zm|#7tB9PWSTcZp z|CnfscY1{i78%5N+Vo!=dC2Cj-lOvqV6~Zb@<^Mk$AFHWk{Y3i`s`6YL+j%Qvy2dp zbWu2tbq9QB|H@``<+rX7gJ=8_M@3Lpmp1`4L*=*#Wk~&WI~#;tX%SG%+yU=i`b#?> zE@Y6${TcT~aLS~&t?0uowBA;`bbX*9@~?gRvKM+}%EjTlb8NE*VC@}_d7vRD#-tE! zihdh3pnxDl3>R#RlvIi|J&YP)MUX@Hh+K(cjVC&-7PFHvX77VW3TJrZ2FbT6pEu2F zS!YBucH7WTrmjTcJK7h2b6IshOWh<4YG3lEa%D)+Z&iM_>exzquW6kLi+(kNta1zq zO%(S!VFLv@s~V|2P3-{1by)DO*xz~N*IDw4{d0=_n^NTy=15O`Z^N8+Nv-_5^o*9ePrAFCFK5!II=O%0&X*y z3~CZ7(gmqJ*l(bRaB)jUPnX0ulokG~Mp&eBL8Zj2^^q+BT zSIIGVVf?!Na&LD+#xuM^e|qZR#hk@%Lu?8mb4 zYDjg1gKR30xf(ZKW4{oxd7~v-Dzrr!r=yKK5sBo3eK6=RR_Vi2f=bsfk>W49ZcZiSqHC@J62Rm+IcCWV9pk8lDY0DN`v^^vv}OB7gPH@r zoYbmS!|yY%B(_0*Z){ z8arc3%GZ+NJIt7EaKS28I{fK@w*jsL`L1U=Ox8P{c3P=D8C~kPdJh0#c6l!Qph#HK ze5!)OGPS^J1t#($uimgtoh4i%Us2~_#n6qytF(yB65}h}p$RdpX*(`V^ zek)AQWQ&3q2*igB0()?mJL-m!qK5aZ9|s$fV|pnq`if;6R;8I^_-r5{6T31$*9vHT zVnY3VnUqILjvxCExeK6_B*mIJV(nit&@ZeI#r%quX(Qj}RNc6V_;AHq=e$pPsV_4k z_;6D73+uLRx~E7lDParV9&!g808+3B^cKfF%TDQB-V4c3mav!lL1WiDp=QXXmKjrE z%j3#`U+P(VQP#z} z5~6SMW12gS4_Shp3efGc`2vacP~@)7j;n%Fr-v+SE%RM;7)tPD9R71tGvB3+fI=gW zJVBxUz;IQS3TJ6}A>UpbQi5@qSVo<6fgWWINaL*mg zAybV8nbdGo-W-7-gV5jp@SF*Nzx3VN$RwRB5i6@k<1}(mkiU5o!RJ>TYtZaE^*n3J zb3f13bBx}@9e6*BUE(oF>B~~$457=&k2R9twqaTYO_6!O}aP$TBP>K%1Dtq~?ug-e&jK`MqvQgWI)kLrA zEhc{)e-kAM?=bd+SG5){FLPX6Nid!RjHadHwjE);Ld9fNq+i4hTF%SqkH%T?_ohZ3 z-yFZWh@Uw6{q$|}a*m8RtC=sNU(yCBOB8n&+*H-9(aQAgFfnoVbN_5f$0rp7H$UPV zJqL69vhE)FMH*^=ayP5?<{%k=ZCVTcxV?jBDRlTeMCr?$ILrPtJ3TjlP9YF<(~00X zeU5$&g$i2I*)+#7{z;r>XHQ?zJna~I?@W&0$ao-A?;&%+aw4TrD!cZl)@12Jm|Jx$ z_Vrc!6R=eR6|QsQCHT0e)PMNZdb$Fxa!r#7lg`tY-yPM8whpOfTd;D4Ez6Rh!=@HA zqM~Aswfq2!3kf7VoxeI3v7RV@`El5N@Xw=XEe!bj4>bCA$!z+efVkQyl8Qj_z70*8 z#jbth@@JOw)`zlXR4FXXF$pzMmrkAw)cXwy(d394=0+_$SF87Q)^xqrg$nFi?A#uD zO|0!L#5S?FPamtJ^4-`S$(`{lC4P4AlSrH&t+rb~!$cuEn{yVAP`NEcQTh$h7M>`G zuUNCk0!ie;haQSD7s@$ciD9W`jO3pAIN8T*z`#8Z=?gM1$sJq$ihjypg&HMZFNn{9 zUzXN9VtzZDwFF zLNo*krzg8{8OsrBZdTy#t!AvvfUf8j=SQDTc?t1%@e;|zWrcbZnYN7;wXIwO&R+dF z0MY@03=R<5K751zZ-7(6JE_ceOY99|RuwiGZ0>Wd#lSl^p){5)Zyf!e`_w>*(+_ra zlQgTnkCew^Puu&p*_J)Rn=qO2ei$D3jpu)=*xy*xWuDv1YUFqZQ}`)5iEOZpEa&U^q?2RoRvvf9H1J=&&mkm%1 zt<@?qw=bJ&2YfZ@xj8>lE}A_dzH!;iuKJ|Cc&(?5TT+fHDYNpZA{eIWOy*`Z)qv%4 zNBWWvtL?l+i|pUF`;YrrP2yRalBfzvyIN<^snkciyoZY znE4K$4N>H?jkLvTy09PpdHp8=>2q#0vD*d4Q9EGku&)#dCo z!`sgxY-@@X1IDzzYZIjVZuy%|2%PjOmS5uAF)Dk!*@u1U9p4)X4U*9JhABN&{Ai7_ zjZk=^#+<@)NtrsS^4&OCymclG?#h&>T}XT?(^UepTPUh=As`Vy`KvZYJEHQIA(eq< z21lEbZ?%HTOYMTpgS$ptgoNkR%P70;F(_^WDlT%o{c2}yfdB`@s>n7_ts0mJxJc*o z>W3|&@+_?E^Qbx*4h^}ZM+I&tih@uZ9f03`P|B`UjUL zQ0w6US3QzYn3~%*b4$2rw+N?N;c)p^jenDQiT5FX4j%jAnX5VpyncOD-ZzWkrh3|+n= zme9R4|-q@FP%+(hU(=?9akJl)iPU8p?vsF` zxP;HR{pf_!q*q_9)L=Lf3CrR?5uXhB+=2>XJ|SXuTn*27oyh=~+glK|GnkkPid$sM zHEm*2dnvGbkKESr8ZeV9bFX~Uk7WT7AC$n-DzDQ?bmi!!#};3Y+;YB*i26k;ED`#; zXn;&vD6g#*R|TXtW1T%~TXDMlbROH$*nvtBkFS&aDy~esp8tO}^IbtrtzG{?nj8ob zl^S{#X(FM77ClH8P|?tv0V$z}o&Z*m4ndHP9zYICD4|FQz4t1Cfb`ybNBnZm#ed%a z%scble(P$_zFcdb{jB|KM*b{vE>=nT2H}LwO-X0kg-m+3HZDsAw$Ow3a~v+LRfQLd zud*w>GO%IB^}v_H?*-$Jk9EN+q3TV#%6yg=yhOJ|_@ zd;F~QJ^2gxZX;mZ4C}NHY#r*XV%f!_Xdz{H>Fwz693xcj+~?PfwxZXLGM%|mISnd) zaU|XIitOr|$SI1|c2Zt23fvbzPRLy|s)6k0Pm`brAA_SW!K_VRXUo2Swd{NB=dCxE zez%o}PE}uE8*w#Iq>u+Ee7+H2!ZfOwIYv%xt?CPvN=E4;?;}{Be-KzE59!+_l;7bK zdqBLma$^>Apz^kRxG!Zc0GEyoVk7hr4 zp2a-jumwgIQf7vrlH_TqsT*#QT%NWL;>PBH{nDFh#{k!??f94q-8=10q2XJ^AZcfs zGZfRg(h{3xMC&3R4`E?_=%zT9X5th-zy+CH-&P8{bRoQ*S9O$Y&so4^M?LOXl+tqj z8N8wB8%A8dW*>d1VoHy&z{L+>63YzF!GncD8W{wan(H-8pdnwsAAbBSqrf6HW z+!FaTiiWj?2YC-I5e|u-URws_vrPQW9R{}oRkw|vm5@)}NMZH7!zZl6?nwdzX=)72`k6TeGUfOE!xGSECEOLv;BdEB#w#lDGuod z!0Y|1Ck_ZdeNbl)%y(iCr6X!A;>{h*>2BB!isffax2{R-z^pe@l=a)8@e-UXTMy?6 zim*l1MA|NKdnlbx+NM7*Q2@dpQ%VxX3sMQytfRquUtI0vEVm1}9h1pz=FMJPqTMq2 zhm~i3-U^PV+5FzT zPOgnAp$7{j1TlyCo z0WnoEG3Td$jP~xu_V_e2{;S@;yx-n3Xi*>%2o@VJKmUIM?&SFQWs-e#m!RT!Utp5! zWQ)!GGRO!1Zm1g$e<%`Z*tXe+c!e@T>e5`nT-T1;_4EGa7WFrFsAHsY=FXF$x1ENM z)d-7;gvEHjvv<+Rd*?({=FV%n{?WnKBjoPGSUG`+9)#Pkii9doG!KMo(7;7k$P+cr zrHc%I>8EZ>VFK-8Iwt}Rq!3^fbhv_}%iTdWsN1;?Xr{Cgkk&H9F zYWNaaHKbpV;$92#evtHE$9g;p@nnT|-6;>`19y5|WW3NbyN!RA`Dx`yEiYet!3V>a zV79Hl7bs2Ly6WlfX2fq3_WtSTkKeS+)~3GpvnZvEZ|mJ_AQ9q79TWPmc0Jql5zvm= z9&KP(O11A|7#lfar>+Ojc0=sT3^%FdPPsp@sRqWI}7-YB5ka6YJ?q zL3Ord%&qRM;w0j&@`n3F%tr#jl5!gFirU+bGAV-H7mYMmt{%bD@8DaVk)3s&rly;G z30xAlS1dW1GY^iKX**;Cb){xSvbZW;9$}q48dj}Oa*<<2dOZ18USi@rSrI4s ztB$9T+3bzm)4%>OiuH77ZQHK?4d9u*K!e-{Q!>?WJj^I4KKL7kAvQx2`I( zfW^$4WdJ>j>;u|DitNgp-&naTbzXlkGzSPoMu3$keD~pL7ZIoQ4YC1+>93Hv85243 z)@@;#kRY7>E)aOz2|P2nY;^?gAsckfsh2{Jtmd>kSG4=T=Rou-LpN(l!E^v3jiUg%IG(2vxh za|Ck?QK}1NJQbLnNfAgg7Do(gm@+`dy^Gp_q-0h}yWeVb&ZYU|OKwR9(&Zz*oP zdXVKNFC&8}yL@7>Sc_~Rrsx0fA<~*yqwrjk1I0z!m}qmni--o zy?1P>YD{kvH=7#wTH8P%VV_*GL%m@n6t$2veoAP`M1ueURC<323chKy6E05gSl*L~ zbj=(XGe^)@{xSHGW6oLK=p%GXU4i17b7HyhV99cPB=<8>)&^|OSTzoj(1gz~d!5yM z=UuL^7Ny%Ta{~AW4=3)|MEK^vvlP3@EaoFQSUq!21XVCv>8 zC4V#L+DYzNXYN@;^-P~vB(;p^F)j(q7ALdI=8e;=ume|EWfSsEgyKr$YOPh|C0kY; zDJdj)*@kdPTnc}DRX`r&SRureSoyBe_>}92K|MGAr3zE}Z$KZ_4whkSb8B~UT;wrj zR`(Z5untf)rm*|F%CVBE1)~7$x->F%tv*DZ4chn#Gc|_^Tk~RJxk<0qWVXPe{NuJh zlecDa+ob4|dy=>yMi4L6p2dxq7addKN$UUbIG?KDw0~aAV28H3`i0rA7?@ODMrAc| zZIAhcKL7NKeRFaDf=k^jyXfRDn}kU#U5C1Qmw~J*abE%WG32ii9Hrlawz9sd7 zPbHGKo}J}Zq{pO|Du22T7_BKOa}RWqn#j1v8~~u_Ios)B3~1;1_9jXk+j;--YbA$z zA^X%q09`o&=i$k9tO83*dGNqS?oQ{8F)|M)N(ba#Io;!daLH_`_K%x?*rs75my%Vd z-a{e-!~YC+UPO+cI-n6CbpPM`_-)iF&~lK{q5rkmTVyqvLNa9W3a(kCaw@!E=#;LF z(?7lV&#FS5x`xm*qU4e?8nr$crUlZt2ObEyeV6AjrI9b*WAipF622VT2LJOC z9dEbPSP#AlS^H6R(wi?oxzugCy1){4R+lQ&eaW*T|91K@`>l>AP~%9~O{W17U|i}{Z}D%$cT2q6$h?+m(NS;F8Ks3hNGemT^FRRvwl8m76;eJwjCaX(5So@GH>=r`JDU0-z(iJcBj-yw5Uv4Je5V-dVF3_A?$bp0FP3wA#0 zkJ#N1+T`9t8JVXkU%r3%paK3Vd#LO4MG(D!I;Z!d$_VkxXf%WN_BRy#3kW&q}FS&w{P-{w<)xcM8fRLkG-sPtAO<49ioxjeR_<+8y< z@Bc@}HGT6_7QOsVj<3!oYO{+k!ZWQ4w{7De7quN5*?%XuMxTE=k%ry53XcUhmsrAc z=G#UNrTUi^&*?|Ldo54y>upCYTsmru0RVr{zuNI?uTJPL+d$^z1ScWqk;m@JgQZ1S zc+2Dk&<9Uw0Wxo%zzvaIC)}Dd6`$Cl?K@6ljn6JW9#XI< zz2KC9un>ynSFz4z=)uVgq<_)Y=u69Kp^h;y;9JYk-CNm`u|NcuCFNG&U3_vTZ4*Cx z$Gh9Ycj{rtXhPqy>ywwZ(IHgvXAghbW_v$tTTBuEkv3Uiar2tisz}0AFY;eogxw^W zD^x#3?n6hNPImU(cL{u1f8=KD3q7IHgEt!b6=#~`!cJ1;KS>MEGP?@Bh@J*|D~`B_ z-9_D{0F`VO-o;q8BIlFvH#nv19)dWSq(4s%&8TQGUqMK~;i~c21jjLE!S9GeK_f)y zlf@*Yv_7v}+-9{77GuQYf%8^fl++B&L+XFJuE!%ZZZvsmsCXq*esrXoA_N}3NS3bW zX|~71SL^EJc;X7cn+CETt|2M5TOPVOXYruj(bX6@DDDWGgsOVyxmwL{fonK`+Nvinn3I|q^f(Py1;vd1JkBBzd*%hOc zYcruMQ!1BS@~CHwedmr}pE|vnw1_iSTpHXxOsCpuf>}Iw!)jk9gzrq&8q4y{)_(}i z3Gg_{`0Kl68Le`nMTNxk*Hz1&D zVl#Z(=vv_WFhxL!-4OLTy9l?8{)x%M(yBrdEY8Y-+x3}n^wY?eW9zYIOH#>|RqH*_ zO9qu^8Pe?78TGJ?9KNmxyOx(AhrF=Dy;PBWt6ja7Pv|(Tc@zEOaftpufe`<_G*b?r zJ5W*({P8tmSCCL10a5S53vHX-a;&y9v@1qJv{ruOz*c(>D4ki37Zf(eg*!#I0pr?Y@v6XP|?gp1jdr5Fy3(NywNwF1mUtIGpKC863V1;Fy zya2DtHwF4x&8cb@8f3@^PWf`PTkagu-W!F4R)Le9vO)D&_*n2g?HLYOmV zOY~17xKwMG7Y6ahS2y15dUhrugb4gHSOur|#0WvPIA$ptNEJGvKCR(0a}u_Qna@v2 zJ;CX7ipwhU$wvo!S_v1TR5Zp17q^^uKQ9|8o7NAY@-mLHO}?R+vTlgIZJxKy#Mf;w zzZ~~TAjHJrJZT%){cqry8<&G@CN93_em`l0M^k%`46mt zYFOI>mU^#?HwvI7(7WCAGzkkvF9q-_3xt|2x6ABE@2jL{)w8+)k(p6nsi;PM+E;>-(%TWf$+y z&}udXf5B9~)3gv;(s zZXTsAU!NBj^OkQR6seG%kujTynkl6~lOd0=T`~>o>AY!F;DnbFz3h;lW`IWcoVp_I z?7_!y-hf^V`;7ui-#<40rlVhzM7ohs4#;dMO54Y?B6G42#vB`0P5yjcfla|AoN~T? z(!EmN^WA%Dlyh!%Ve%t&+K;3y;v%EI+a1yp4XY@2whE@uJ6E_tzrgLG&00l9DAT6n zDtR1OI1|7M%dN}XQbT;`;}%&+o=&v&9CY)i!72Qt#PppW2%H8SI z-6cdms;3jKYCNAV@;vq3cC1^tCS5LaqMm1qmI%=PB~&=^_kolbg;WyL-uoCRsv#*_ zf&EL9M6&bvW=gj{81XiCM(ub3h;&4E<@(A9SctZJ>Y1K+lQW{P*l1bL0&fw^r5+x| zFVPW*w$32b#7@HaG9H${quc21KCc?Xvp*DncAr^1Zne#@Hp5DH-$X)} zjv41m%jc+ZTIyu9Hmwe00FCzoTYqHu&sQ8`qhaLL0$9>{Ts)_q* z6Z`we=CA+zK0tXZjfwdKdizV!pPA_R>)g+?L_3=9k0}dT(0ZD+s>iYgVc<;eqJdUB zHSjA+o&3s%ZR>;v^c5|Nui-HU#NN3(WbW?wP(@%%J>~P7+EIqi&;2^1_o`v#bXPRA z+EFh(+;Eg#`)N?G`AFY~J(u#YW8a@!`ru+Y1bwhNz8j?S>+`2n6^fj#-WV|1k#}9` zoFA`8<^sjlP%kKpr!m)HCYC1yY)?LNH1?5qIk_!$s#LM)NoQfVOFjKK~us>fy%(kbK`ff7Pq4>v_8&SK3JmF(aUO%<& zI&+SliVwxILy1!nPBbyEW&;o2Y>e=1lkOcGgh_ZvDUBf-xlndXg93H)@=`pV$9&$)Y#Z4D1$IiPDYnMBzd%pPa`xodump command for more information on XTC files

By default, LAMMPS uses an orthogonal simulation box to encompass the particles. The boundary command sets the boundary -conditions of the box (periodic, non-,periodic, etc). The orthogonal +conditions of the box (periodic, non-periodic, etc). The orthogonal box has its "origin" at (xlo,ylo,zlo) and is defined by 3 edge vectors starting from the origin given by a = (xhi-xlo,0,0); b = (0,yhi-ylo,0); c = (0,0,zhi-zlo). The 6 parameters -(xlo,xhi,ylo,yhi,zlo,zhi) are defined at the time the simluation box +(xlo,xhi,ylo,yhi,zlo,zhi) are defined at the time the simulation box is created, e.g. by the create_box or read_data or read_restart commands. Additionally, LAMMPS defines box size parameters lx,ly,lz @@ -781,30 +781,53 @@ where lx = xhi-xlo, and similarly in the y and z dimensions. The 6 parameters, as well as lx,ly,lz, can be output via the thermo_style custom command.

-

LAMMPS also allows simulations to be perfored in triclinic +

LAMMPS also allows simulations to be performed in triclinic (non-orthogonal) simulation boxes shaped as a parallelepiped with triclinic symmetry. The parallelepiped has its "origin" at (xlo,ylo,zlo) and is defined by 3 edge vectors starting from the origin given by a = (xhi-xlo,0,0); b = (xy,yhi-ylo,0); c = -(xz,yz,zhi-zlo). Xy,xz,yz can be 0.0 or positive or negative values +(xz,yz,zhi-zlo). xy,xz,yz can be 0.0 or positive or negative values and are called "tilt factors" because they are the amount of displacement applied to faces of an originally orthogonal box to -transform it into the parallelepiped. Note that in LAMMPS the +transform it into the parallelepiped. In LAMMPS the triclinic simulation box edge vectors a, b, and c cannot be -arbitrary vectors. As indicated, a must be aligned with the x axis, -b must be in the xy plane, and c is arbitrary. However, this is -not a restriction since it is possible to rotate any set of 3 crystal -basis vectors so that they meet this restriction. +arbitrary vectors. As indicated, a must lie on the positive x axis. +b must lie in the xy plane, with strictly positive y component. c may +have any orientation with strictly positive z component. +The requirement that a, b, and c have strictly positive x, y, +and z components, respectively, ensures +that a, b, and c form a complete right-handed basis. +These restrictions impose +no loss of generality, since it is possible to rotate/invert +any set of 3 crystal basis vectors so that they conform to the restrictions.

For example, assume that the 3 vectors A,B,C are the edge -vectors of a general parallelipied, where there is no directional -requirements A,B,C other than they are not co-planar and that -C dotted into (A x B) be > 0, i.e. the vectors are ordered to -satisfy a right-hand rule. The equivalent LAMMPS a,b,c vectors -can be computed as follows where A = |A| = scalar length of A. +vectors of a general parallelepiped, where there is no restriction +on A,B,C other than they form a complete right-handed basis i.e. +A x B . C > 0. +The equivalent LAMMPS a,b,c are a linear rotation of A, B, and +C and can be computed as follows:

+

where A = |A| indicates the scalar length of A. The ^ hat symbol +indicates the corresponding unit vector. beta and gamma are angles +between the vectors described below. The same rotation must also +be applied to atom positions, velocities, and any other vector quantities. +This can be done by first converting to fractional coordinates in the +old basis and then converting to distance coordinates in the new basis. +The transformation is given by the following equation: +

+
+
+

where V is the volume of the box, X is the original vector quantity and +x is the vector in the LAMMPS basis. +

+

If it should happen that +A, B, and C form a left-handed basis, then it is necessary +to first apply an inversion in addition to rotation. This can be achieved +by interchanging two of the vectors or changing the sign of one of them. +

There is no requirement that a triclinic box be periodic in any dimension, though it typically should be in at least the 2nd dimension of the tilt (y in xy) if you want to enforce a shift in periodic @@ -1214,7 +1237,7 @@ discussed below, it can be referenced via the following bracket notation, where ID in this case is the ID of a compute. The leading "c_" would be replaced by "f_" for a fix, or "v_" for a variable:

-
+
c_ID entire scalar, vector, or array
c_ID[I] one element of vector, one column of array
c_ID[I][J] one element of array @@ -1413,7 +1436,7 @@ data and scalar/vector/array data. input, that could be an element of a vector or array. Likewise a vector input could be a column of an array.

-
+
diff --git a/doc/Section_howto.txt b/doc/Section_howto.txt index 4de50ef21d..36578f0b6b 100644 --- a/doc/Section_howto.txt +++ b/doc/Section_howto.txt @@ -760,11 +760,11 @@ See the "dump"_dump.html command for more information on XTC files. By default, LAMMPS uses an orthogonal simulation box to encompass the particles. The "boundary"_boundary.html command sets the boundary -conditions of the box (periodic, non-,periodic, etc). The orthogonal +conditions of the box (periodic, non-periodic, etc). The orthogonal box has its "origin" at (xlo,ylo,zlo) and is defined by 3 edge vectors starting from the origin given by [a] = (xhi-xlo,0,0); [b] = (0,yhi-ylo,0); [c] = (0,0,zhi-zlo). The 6 parameters -(xlo,xhi,ylo,yhi,zlo,zhi) are defined at the time the simluation box +(xlo,xhi,ylo,yhi,zlo,zhi) are defined at the time the simulation box is created, e.g. by the "create_box"_create_box.html or "read_data"_read_data.html or "read_restart"_read_restart.html commands. Additionally, LAMMPS defines box size parameters lx,ly,lz @@ -772,30 +772,53 @@ where lx = xhi-xlo, and similarly in the y and z dimensions. The 6 parameters, as well as lx,ly,lz, can be output via the "thermo_style custom"_thermo_style.html command. -LAMMPS also allows simulations to be perfored in triclinic +LAMMPS also allows simulations to be performed in triclinic (non-orthogonal) simulation boxes shaped as a parallelepiped with triclinic symmetry. The parallelepiped has its "origin" at (xlo,ylo,zlo) and is defined by 3 edge vectors starting from the origin given by [a] = (xhi-xlo,0,0); [b] = (xy,yhi-ylo,0); [c] = -(xz,yz,zhi-zlo). {Xy,xz,yz} can be 0.0 or positive or negative values +(xz,yz,zhi-zlo). {xy,xz,yz} can be 0.0 or positive or negative values and are called "tilt factors" because they are the amount of displacement applied to faces of an originally orthogonal box to -transform it into the parallelepiped. Note that in LAMMPS the +transform it into the parallelepiped. In LAMMPS the triclinic simulation box edge vectors [a], [b], and [c] cannot be -arbitrary vectors. As indicated, [a] must be aligned with the x axis, -[b] must be in the xy plane, and [c] is arbitrary. However, this is -not a restriction since it is possible to rotate any set of 3 crystal -basis vectors so that they meet this restriction. +arbitrary vectors. As indicated, [a] must lie on the positive x axis. +[b] must lie in the xy plane, with strictly positive y component. [c] may +have any orientation with strictly positive z component. +The requirement that [a], [b], and [c] have strictly positive x, y, +and z components, respectively, ensures +that [a], [b], and [c] form a complete right-handed basis. +These restrictions impose +no loss of generality, since it is possible to rotate/invert +any set of 3 crystal basis vectors so that they conform to the restrictions. For example, assume that the 3 vectors [A],[B],[C] are the edge -vectors of a general parallelipied, where there is no directional -requirements [A],[B],[C] other than they are not co-planar and that -[C] dotted into ([A] x [B]) be > 0, i.e. the vectors are ordered to -satisfy a right-hand rule. The equivalent LAMMPS [a],[b],[c] vectors -can be computed as follows where A = |[A]| = scalar length of [A]. +vectors of a general parallelepiped, where there is no restriction +on [A],[B],[C] other than they form a complete right-handed basis i.e. +[A] x [B] . [C] > 0. +The equivalent LAMMPS [a],[b],[c] are a linear rotation of [A], [B], and +[C] and can be computed as follows: :c,image(Eqs/transform.jpg) +where A = |[A]| indicates the scalar length of [A]. The ^ hat symbol +indicates the corresponding unit vector. beta and gamma are angles +between the vectors described below. The same rotation must also +be applied to atom positions, velocities, and any other vector quantities. +This can be done by first converting to fractional coordinates in the +old basis and then converting to distance coordinates in the new basis. +The transformation is given by the following equation: + +:c,image(Eqs/rotate.jpg) + +where V is the volume of the box, [X] is the original vector quantity and +[x] is the vector in the LAMMPS basis. + +If it should happen that +[A], [B], and [C] form a left-handed basis, then it is necessary +to first apply an inversion in addition to rotation. This can be achieved +by interchanging two of the basis vectors or changing the sign of one of them. + There is no requirement that a triclinic box be periodic in any dimension, though it typically should be in at least the 2nd dimension of the tilt (y in xy) if you want to enforce a shift in periodic
Command Input Output
thermo_style custom global scalars screen, log file
dump custom per-atom vectors dump file