From b73a4678eca66968116de671cae408f4cfaa26df Mon Sep 17 00:00:00 2001 From: Hearot Date: Fri, 21 Jan 2022 18:00:57 +0100 Subject: [PATCH] fisica: aggiunge l'equazione generale e vettoriale di un moto uniformemente accelerato --- Fisica/fisica.pdf | Bin 178874 -> 181097 bytes Fisica/fisica.tex | 37 ++++++++++++++++++++++++++++++------- 2 files changed, 30 insertions(+), 7 deletions(-) diff --git a/Fisica/fisica.pdf b/Fisica/fisica.pdf index c4814ef12f5ad96210587aadc10a2d8b182afeeb..ce2adb910999d6ab13b5f2a4b723ebca0035d472 100644 GIT binary patch delta 35880 zcmZU(WmH|k(k+SxcXxN#IBeX4dvMnf+}$?rzH!$;aM$4OF2SAP?)GxdH}1Rlz5AiNk-PGFpLu=XB>y$ZYZ}T)0Qh5Pwrweyd~kmi72uA zvytx)iPGRW#7wfA2xpa|hpjKfz|0CfJ=-2d;V~@>E;Oj1aKI4%jIWGN6Jym}=s{V^ zbhJ67yEeHxT3mFHFYpg<$i=|HgyLccs}j+JH>l_dEJ?_2)*kzVshmRyWE0CD@+reD zxd>w~(7>eByP)4+i@B+2xGn$%(TJwMh|L|qxT-})o0KE1&nqzE&My#jk zU)D^eZrg2krzNp+(?WN=G}yqOv(+7cSQmd+xf?W43KMS{H@V-?lEx_In}U9S&v{W{lMTLe@3)q6X#h51)NA+$KWtc~*G z-BS9-9d;K>H7!}yIu~|sQ!dlzn7|(0uRbsWYon%WngIyGM&n*2JF@{I&?NDt~n<)BV0bA<(^mh_Hr42nm7KJu7n^xjn`fOL} z$f%VpHRw);79lv04kEmt?+~?7a905<2-2WTJ z3Z91+X1-0U`hzQktz@iI5N90N^{fY-p$Ov=iiy4$$v%x`Uv!uY+cBf|{rj_f=PD19 z=)83z6yjh6_RWF?GQ;!75^-Tv94ea>PAz(7C(pv}!-p*U6>DGu25v#H&C`G^Bqd57 z>4LdfKop#siF~0Xa-3vd;|3$bIEiBGUV0F%g3280`E6zQ#7wogEqTa@m2TGLB59uGFUXmEyV*_=2k=`F>$S zB(K9iLx)K6D)hajUvOPobo>~8!OOBh5DVlF2}=$JGw33UW1s>gL+d1>psZcJd6B!i zE5ylM_&GIiJc;3!g|>T@PM9*k4NGZULXd*Tzi54pIQqK=DpgZqzZktIPem0~`BH$^ zERD4W@_F%w%LPVY48coB1+Zb+?8Q9pggCfQTF(|MO>fW0375oZ)W>~4k###`-?Sp_ z75H=ORSNMn*6K&uUIx!`K>s4(*$lqS8yONOo+kf{0;)V7UF8-X@;l*Vz zw_MbOc^tX+odJ3LnqwD2r8st(ioAJ8XHB;EZ2x)iW8Eb$LSJa+T^4asauCY<&w@4A zO{m?bi8PxngTA#w`@Zp?dc1C1ymnyt*SR`GQ*Gvh{GoA$a$#wc3vsqe@?=CN`1MO7 zkkM<7_TaW44VjxuNI_f-yh8K~^*FDFmLE!!_}av>s%?|I9S1F~Mq-wBlOLYj1WDGj z^4oYMdrkPSYPM3=?4IqpRp>|T{CLZms4t*UaidPHvR zQ?&t-#T8AD*TRGw5(cr*n!aoS`tIekxvoD4QrXd}m9S!vcws+`JPbN@!`Eg<7o*v> z6`feqS3(LHL!aQ~9=!>FaRZx3%&W0XOapseCjhjsE}wuax?vUVikqvy;#zaFpzPDB z$0i4~cIWNdifyVbTxA}ZPL;p48g}M=Q?m9$BeK-^BIodFA0S%sc|Uth{=1;lgsA&T zdoo60$xrX4IR2(?9wPkaG6N)7+L7NV_rkZLF6CTEZSf31tKyuJ>P+SUl22m&$x2`|l ze=sN0gV%@dhwg&)V8^w1h!E~a=LTnll;0>^+4Q9sW32r$8Sg_sTOcIu)x2&%QqWa= zWAR@!)Po80{%*@r`VrJ0O@nY9B@FKo&~y?wVoMluFsqM$Sr!7vEvV{dt`8phyZW(| zp2)xm9L$K{?af_WoxhvdHHF9DhhSb&O4|;!DJUdzw z0X<5ogSk`cE7es-SboaxM!}&pczN=t(HN>2(pt`OGj)#@Zrbzu+a3?AcWojQecq{U zEO$>F&K+hgD(s(|^5A))Z(V3stQu`jRgPtK)fmB$94r7p*_<|CdGK)5iVTDu89FPo z$5N3iEL{E)?fcUd#BfF)xlm|-j{#j>4#Yh)^j z%jGu748{OJX2EZO0wTfu?Lc&g&kUT*qep}T?D_J$vEzAx#TDZe#gMQNi!hzD2xV7F zmXLyjv8!Ciz|a2k#Umz2)m(&Z0I%>7hTr8w&NVx5IZ6a4vZ0Xl_dsU`V=*(6w|%FNtV^+HFjJ>AFSyApu5+z7oG zGtU}UYTre1dOD}qmE%HeRAmZJTcko9d6_mywTA<^R)XoI6lcKL^w!;WXGNdr{)_MO z+kJ%mceh?$N?q$U_fmaCRYU#lZ+?OD@rtA+tMF#1d=Ee?xEV;??5`xj<}4gV*Q62s zE%{SGEP5H5B4(m<6dp$Tw^eqE4T=Mt(MlAK5wgiuoYqt@M|~!(ol9*MPsT9yv57Tk zVrPIyvPYVn7)%~5p81w(`Q1vCTPu3fde1?Whs0;#z(4@`9^F0@EbreFaqM{M3iqBP51Gq!`yb_#kF<05vJTcA zRPUE)_k&N7^LB!CPA4l?p{@;YB2ubD#DWaDQ zjAuSL>mF*}xupWa0ae?tlw<$K`n;{r8g?0T^I{~dLFuB;kBB{$xM^Pc!FCldze>Dw>kZEms92rm z(@A&y3^dAL1kW=Y0GY7oDa>5CAR8RiNkkefU%KoakvKEVwsL-<)P2dcF5f7T0!#K0 ztp^6%gFD$&nKjY-$g^=*H?=;{xA68|;kL?JSn?8dizLYgzPS#uQ8hOEbH2NITyCiO zlBjLglvUNHS$!ihD^r!E?}G_9+$Z>=Q+x{IOPU;CO0o7B zIQ6Jf?A{|R!2&rAMS}kEI(XzM{@~$yDC^)htLlQ*4_r~w(r-9UK|3zDIquxAQwEiRrH8%CFOcDXsR`3XB-TmgE@Jcevg zNMob4$z(DO4!iuE!trhdO(5Y7I|3wQJn)-kCx)K2Pc6;Zz3g0YQx!JGu~j?GW=hl% zH}|Q2jeU4@^>vYl-v$dPi`A%)rL(~f4~FQom_mndp-B2PHWHx_MQ%B zP1ssWka;mBhKJ&N!b_ElA{Mq9tHy;q+hQT0$=TN@{){hX$>(k2MQV(z@*;nlP+fV` zg#z9a+k)%8-XXnvW6R!SU7D<~LKBs95G=Jg%tXG6tj_GHtBC|zrS7~3w_yS|ZSg8L znmh9dz{}EX2K~5>`s3eRGdkQWN&3++M6KKLTM^bh+R>Cl^YDqjMo3_KZpC#POh>mw zdz<6SvyqBzfQLs0HqluNKR6C$IPi2<8)i z%jN*H%Itu}0t99$8yHLE&8B7o4n7oom5>2>baKa%w{Axu~g(N_aVAp42%L} z07SW1X(P#33+`X9tU=ap9PdJZKce<79I|z2^@XkEKH1&SOcs8g&Btms4ZqCL>A;5E z>AQdqj*p>XV%4rj?`pPxiTn0HNTkq8CaapOe%*+m&=DI&T18JRAl96?XHY|6DsA4y z-G9K(Y8`>o{@GhlLo&HHx5zZUDpG8(yGGIDy&PYdxGLXPL{y9$D-!1?fJGt3CGl=+ z)Et{i^qENY38#TL6ZyXnW&fVQAH1GmKcF!VCmVo+hn<|0lM}$r!As7`#SUO+178C< z!99HXC|m#@c0O_*P96X+7dQAjKPw6+5WoxMBj@G;0{)%k==pgGIXM7496)k=H(Of+ zL}B6om~k+*Mr3E>OyVa(;o$i<9v3+m$A9}5@N<9R1aboS*ud-jykFSa0i2wCU;=?& zNG|Z2fIJL4FOciM$HNjW#rQQI^v=r~6{W=4bd2uNe4%11HQPGHId=yuwDPJA#DtP+ z=2B6AKeBGy(H(xIJJaZe2x8PNA5Jx#M@fx0*ZcSL#qpLo>{RVRbtfM!m8nS0pDI!q zW3EmeEW)V{hM?9iKhUjz(_wa6a^;e4)(t;0$P09u_w{+F1$64+P%Tm!LvOS-&_?F} zyUmLPdCTzA|NZd(WO^;nsH?=ineHge5;gqIVopb2W47OvWUD%32u^UtSDRgpXV03Y zjODT4-@3H_$o+2?UOHyu`jWwNNXuk@fqRWEFPCHPP|fO;n-Rl*>VuhZ8zJ+WhH>6MW)PHI*MFH47FR|H4AYP)oG&tFp5IdWfJ|Mj+i4f#4wR$ ztK{%uC`4wpklHeTXb^^S>iE$U%2+y~n~YHn&M+z!%?AB)H9T$=yazsCKb-80k<>BL z2dMXI=+Yzppl9LfsE7w?4&t(6X!TVweBA#O$Q~tp)X{qLzqi@$C7|8=mO?u*fMlA1 z6-WyoM;R84{dFubd9Up-@oQ_vn6Zo8;GTSS6U~G~E|%deb|q`SIl_;VPAsi)L7c#4iu__#RICJY$k_YK7_At$EkP*ZVivPL=dy zV*;IrQgBcRlVgqd3+{?HST<2ziiV3D$)qh}j_ROiM{U(I#TncYSm=GbWc(Cri<_*G za>i3Fq+cOPtVIfyDiErYe=)LRG=FSmLynaf8R~n8wS4MSb*?rCgH}*8t`KCC70EU& z3apheKMhP9zsM@bOgZ&lyMAHJH4!q4Qt!k4rg9~wZz|MW3GoSgje)hZuyhBa(en!aVjaLMf$-smm`6md>b!lwixWIUlI6^f zPji_rUnX-5YsfoV)i$=Ewe2?Apdtk@CBlFH+B6Y~`Dyt$4FuMo zI^&Dl1E( zS}%B~D!TWsW;#H7I4BFo)iDb(wPV->~o(Ou_G%{5Rf{F3zEG=J!m&6nk*N=wvd zsI+XiLT+_+bMjn4-eV84f3phJvl{XP5jT%c>_9&ekf5(8J3lu^S3C=@ZE+Xjv4}K@ z4730;__m*(WU0MpOfiJ>EiW;f)w*)l_SstHKlhn@k}5(#ibn9A5D;N&Ja2hsWCt%$ z0c?Nr^~#jXh7~Ru;UCc%;T>Gd$=9#c#ad_0JR)C0|I}ckr$)$4oWR9#<(|NSm^We6vqxEYCCT1O)Jq+n>4}h|?|&>~`{SrG5!nJNtcsl}3Iu==iC! zHqK_?4xeR6uxyOaybse_X1B(rt`@^p#g>zCPBD8B%DeG6JAG(@Cnl zXz7{u1RM8apRIWS=z3{PD)W&}(>N*n&@MXfU+a*_Bd+HdRd|}PQsaFBP1MPHS?SuJ zQM2%;bRj`uzuCH!uC`H;eV3*)ZK}HvvNG3&;~2r zM;CAkt$Tkr)Yt6pR>Br%;G&xwBP62{)T;x+%Yv+Axmuk90gf^VevzzJETIn?ktLUh z(fdP@z?$a6xuCKlNG>N(#_{aof@-`_9iQJif%?R%?;ru-?;c_JT%4sP#k#6*H6%|d zlF5?3$4emYNJO(GAkx6 z5$@+|<%hSf;DV|Cf^)w)*tq!n{JoehPAge$^m;MeNtG8ks847ZIiKUWv^pY4EU=HX zJv<)|IUD&masw~{pCK*}H#dNTlbxJ{j|;%g$4$<|!vkRB{cp-nmHGaK{a=FS1%e@E zdEmJCcmZrYKrn?S7Fbo58jh2f8vx|s`ENV^Uz_7!o0FXn%q5qB$jwLopFI7~4EU0e z2)rx62Bwh5hUVnr0jm%(fEM+1;)#a;(KSZwUN_9Paj(KqPh!I6l?B@0ih0){ht?AX z+0&9eE3t(3TaGF&a!t_w2$~9fK_2#}t?T%E`Uoy}|n+7|)|7PsGPx0Q_y~cUz9m=}Cv@E2!nDraz_J=c{ed9mS#a^d!Thn9ztVB7o7J#U`yfpC_Z+_H8gZ0IPm?0RiupK>0f zfzzgE73}C#(v^a?FY6xN@5I>OIZgmqzm^_b&1JNTb4J6-*L&Y4%VmS#erLQL?z5n$ z8C0nFmZaqk_YU31bI@*q-rRXJ()iQKJ<2e@_8`-R9hF;2lYQ~8Lp0t?rplXBM&|o4 z?l}R2_iwXiZ$5nQMoY%%Z;vV)_?3&Y1#uT`_AyJ%N$n;RY#Ip5GO&6H+m1pt_7>7m z4Mpr0V4c53*S)sM1j88zoRjsx;%MT+`Ld5oN9~PZQEG?0$3ehfbUxA`W}DUrDXr*E z=0?TSZCPhZ9uPUj6228m*lYC*#qaL$z^-1b)XP&Z3$X2A2pgR*KFP3V0ZsztxUScCOTB=kPU4oF4BHFj%cC0s;U;sm*1P26b6Lskq_V27usyubNki$2f1_p*0_k~O(8=-@*#kNvReEgp%xPSU zSU4%s-1eHtmuuH`#FnD*`lIiv@Vnk!fatYzOxvxNAuio>fg!z(JVV{87a`DMEVYN^ zx6)7X_Qb!~5PkLWDfCgG9!n?^x^o0igRE}DZ54T$_3(3a1>a9ZGG19aTYN&%g-8R;WS+3e2EKcCwvmI9Teny)Q(4 zJUN_dkI^+lmlplud)o~rcVJXY$ZMzy@;*xc5@_Af2r8HcC@}^lAbD{sbP!F!EHs~t z#;8|gik4@7SBUXL_w^zRE1Ok$p;C7=1e9g)bXV_br=ZuwR92BR;<`e?bs4UQf!hI$g%rx zeP{;~Ur?#h7SeD9iL?a27`?Sr{@hLEo_=WLtF$wnEjXM(4t`O05j@|zSUNvfU`O$v z27P)X(ccAbFj-)BlzO;aeYAHU-1F;K;kF{{=MAJ9B!QM&9w5MI)K)wc^ zy)$lhojTc^8k5H!b=>tPeObSFu@foc1`$_(BpTKT_qLGASzF1dwT$x#ef)}UF|p(& z&;{ysQ@mG_tx8IJBTM{kHyUs#>^f#V@j=-+hH}*xt!xx7Sj+^5)))RfM>On4!m8oP z`WW`d$VKq2{ZsAn&cAVys_HuL&}`roR?Ae}>a!YFci#@0ukvAB%de@G6MU=N05y)k zF8++K&oX#h0~~gI*CK4%uyr3td$<0>yJw@G&Y_W>cR8$PX!?7wFg9(AvwHJlk zQ|ylg8A8jqY>H`kcvh(g-z|{j7Ing%Tg#uXMmGR4{T3xq+N0lzP$&-LTI-C!Xd@I_ z7$x!Xo@cCh(#8X+r?pr9fbIHN!~>l)_hhbFj=RmgW$_s^FcBRy-qEGjLvEag9J`ETn6fZCvFS0*g#-3y700iA26YgS&uyELL2LRo zoq(W10yLvIkDnOX&lUFL)SuJn5ur{_rEfHO$l%nz9P$vgFaIC^YMiV1=)Nq8nPA~B zA)AF+t>W1nGG4VC{meLq(n6tbRy^mIS2kF? zjnzBz0K&{kve{%wp&o=1QB)2BETuWu3`RoHNhn2apD-ET0ni}d_0_bMp<9#y1Q)=SeUUybyXCkK@RAYNE*y-A2$6HH+xG*zPr z_fX1?nv5+%h2=356fp355Zq>6)g=`b=z8|XevUW$ExD?VD}vMtX1LSFHL!t*+2(AK$e3xktTzB41}UI_~$(&sej?AXvO~S6lD$ zjTo(FyAg*fsJmwW!V!ajI6Nd|a^9zKnu^-fPOFqDB`8mSq}@}z*<@I}J$3thE%T=h zm|n2WkX@=R*ajiVo|^N2QBd1WNTuWGjBpgbY%xn>>TNCpq>U}B+y4!4-|tLk<}@Bk zCU9KD;3COgPP*@7Xl2;zr? zQG!wNy@*C2eCw1?$$LGbVkWUP)`F7U6wLF6Cj)I2>t0w_g_Zq4JtRA z(V#tO@+=NR2p<++R)~Y;L?;h#?Pse-Z^t*!BQe?rVx-Px1Z^8+1vpXi?BsXJ;IZ1o^YbzVrL)f4+%Umrm<8)a!(v;XkD3uLJ3xey?lP#&R*WgX=!mVSX*ZJ+hJW%&I)w$!lfaFpDr zAb}fX{WrFVZOwMoFEWOAe37Sl-HBv;n=*k)O=hpAKF%S89nTfg%*J2xatO{_bp)w# zU66G})-bV$iWwA6!4DF&rGLQ7wJrv90R4=Y5MN?GzbY?YPAoxtc3+11VzrniCHs z)d2;-l%tim-hjeJnN2|ErE){mu%wLU2jM;r9u~uK;Pv>(X|NexT?t?Q+j~2KP6p2*=1N!>v?(aQPd^c?_U}({>ygF zcE3?e-8R~l?e+??UTRk#;@{~8`&CjnXOMCSYv}1qI?CmsoQMZV=h?sfgZ&PF*TUVi z1Z6UajUl{Vv4ISVNy033NSupD%?4fPsbt=aVo3Re;-!0nuyitG0$_dIHI_S&eE%KQ z7r%!VZhB4*3UN68$)PfdV@<&g6?$5j?xA~@j=uY*-+lMLtT7*Y)W=rU*K@g24hrP8 zxfT_ejHZw2wxI;hw-V1!?bmQ$oqA+1&?xtdQ@%=(#PH8z+33F=FPD9KnV2rJ`I#46 z0Q(WT|70X@Zq3CTZ+rJE?>eP`KB+fXGUNKwgh;4E+t*L{Ny7#>r@n#l?y~b>-X+{S zv>tv8On;r6V}8F;?AUm4QiOx`)BU^c>IZcTLFepEiw6^afwx@N`_zkZ>TZOFZl9P) zdI@b>*Y1-C@Z1yUK;Frvj>il2@LCAs9xLLkW7Bzy9AVpdHRz79ef(QSg;hEJi?T-0 zT4eT0;`>^uOTe@K&qo%^3;Cujdh=JIfZpO)5AJ z4mJSKKLGk4{CcKo3d_Y!&dULYWW@ptQz650aFYXh!OB!*;3zFNJdXcB+1y(~Rs1nh}(>1UQpMD+DQ6uz!bIAi9Dr9jvd! zTZA&1;wxtF6PM9`xv^6|;x^#<@!j>C08njpfx2h%T95gouhc#~MpBbN&^r_ZKC zSW4Ke-LH7n3A2?LJLUc~eA~2(M@{(#8Si&AQcS~HP_p_UM%I{eX2aB~Axx5KJb=TL zlw`3tdV!)JxKXDy^b0ZkZEqyj-J3YZ5F@iPCr^aB1#Qym_eQ}dbldk9k)4k!dnZll zZs_o={QtTh6bCohPnrVfzdP~I{l0y7ad2}s`|k43U%0>y6f{Ka9RIgx{+Dw2$80EQ z7~%5#D@O40@RGCh{qrwA4ssqY4#2++kL9DF{Z}$zApcif_&@3k|Ed-Ld&j?$>#_f{ zugby%_0QNWr7ZXgfD2C63V{TI3A7I&xzfZ$AaT+zKu~C4DxI8feE$<7lJ;f}=2rGU z$k{pB{^yN^rHQkOvxC{czy22)|B0jj)8v2D{^MkN|H>rX9OMT7Z?S`u4UDNP#QI;A z|K)`y?3_IRiIxBVD4hR^#{Z52cC;D?qg!A%80eWpfom+0z;g!N;7fxq4RD6qkdWLB z#zrbokUR}_CR31*ybS?nSx}I`24ah3C`i7BI!j+DsDIaLSZzH1N%n>^JJ3JL(ZJy7 z3kk)=*-+{v|4(v(dyB9e;9V+M!SeUWX$m5cY%~uE+)CQI6NS9*RZkG z#))3H(XtNL%8BV)W$UT5&s68*`s=5S-`1G!=<9?ar;o+uj|cDmJ9V{iwN*rGNX-C# z3ZR(2C`LeKW+o;)JOq?iTYxC3EiJ79d>`Z+s{jvJ82wFji zS4g;kkbiap0dWl_3PnjShCz^KsXDUq(%z$>Z9Ok zjtF=AxQ92cGlvZb35DhR2!Spp>2-`KX~PnoBsM{E_tl=ATZhbtZVCy&$o)(SlAOQ| z42X1e>FDTi$q;CF6a($>U{(@Cc)<7J=A*bn_HXoP25hlFFHDm3f?9?`Ct+rqLR;Ss zW&(Ao)+cw2dxCo*O%dFkz2KeP>Y@4}(JG)_lhq*!*=pyF%on@ii37TM;UIRQ-UT+c zX1lS(vOi$5^mN5ZOb(TD(dmc+xCbDSXH--U#68J@5Qj>d-Jr-rRKQHQrwgx3L~z?6 z^p5iJAq1=yOTe>4IOy@n6d}9^9iR_D58o1U{#3fHoxD-ftXGkiuEpwuef98jMhC9k zm~08PeG2RQ(3N$7AG;H{2S&$UJcu-_+3bbrA{v;qWiK42f)QRtc!=1bdeE>j_i=XN z0&*aY(d6|mKwC(Ez59AV+4)UMzRI~DF|GcF{Ku`wPlLbzL>ly7wg9!)#`HDmIhQn=rP8C_9K6k`{1{nEt zBp|!N@70ecMIRasYg?4Y&pzVXke@jUBroI!Yyk%%a=cJC&@5zKqMy^=pIA4abhleN zA2o8HTT$5hB*Y(2IvMpm zMv4g#*^t=k=%LtLHn}i>e9Oo^A{uG{+O`BiOndc%Cae3*yBlr_au;SPq+QhCh#gH; zbo=v(^ykFf#}1*B*UX_2z$Gm_QR0nnWDEa|P5sj#{5P0p;pFk|`U(kRV#m=%`7FF2 zB>D#7Fw>u|8z}TqM$|KT03#_F0zvBi0ILm>*jedD(^YvAQ|VR&C7_c9=sj-9XruSo zeK_2a|FCy~OFtK3M!R>>dxyS(Xs!B$^nzUH`3(Dw27dzI{HzQ_6A2*t@+|!kKDhH4 z00m(`0Lq_%u7{=i(3uV%Jr_wh3cP$ca(;q4C=hrAsgR!BKf(F_9l0gDD)6llx#|YF zugu|~f`CCHMc1|OpM4;J0NV<*ZKTjGi8TYExfaoawi~%c|%!f_wo5Hb^-QIft}N=EH;%4BjShJbRklQelc`4wP#3mvDPzW<*{K>g7p^H1S;e? z)JMxg?>#`4RGBPaT$i7f>2tq-I>w;r$8sQoN^_-ZD3|;rNiGc~Th~Q^Y|0A~^Ed?g zXAc(d0qihh)U5oXEW_cdB_es@Ah5w%Gg#`(?mGLc^>BHMZ6x<|q2~LDJLueU_=!Q@ zv^2j;r_c@Ca``kV44y}s5ezjwx)o8IIgVH&VRe=!1N4}^R0^f{*R6aKGpivctlZ@j z_#@QpyH|drGNKLOX%MIRnyy3*WklV|>9(l>m=(OjzuvGZO zGiU0yEHtS^0rr}vL1dxV4k#b@6YuNq-=6jf$#O!z7cY75_@S)RzdN5UZsOL~zNi1l zsi4d$j4b+{dV1(Lhv;1MAhw<-qWyE}>!^2|Ky~)Bx>qHB#e;x2k{{D=U6N-Ii!#RG zS20NlSDlhI5)83fY<-rUI~c{Q5SDRBC2Og z!%<>WB?b~!6^w-ba(5X`wUrFU%8PT-MBTu4C&eNm{CZS;taXZ^u+>zYc}`hD=3D5R zE+uKeD2@ILr`b`+av11j)F})ooMY0#u+cdvv~YJFh}`7gJEyUgMG+H51?}B#lssaC zl5w1uIvL-bUxTgBwW}SBiIo0Oe3U&9x@;Vh-q;c*hKpR>ll%K3TBS@ZT=siEPu zimupf6hPMP3K2>ZNl2GzE84Hbs9^f&r$*?S0t*F~>;hw9HG;cEJ4~+K=hLoPrWxVa z73SFisvv{l7hO=U7(SQ81%DAUamj{+>5R8r-NjhKl(yDKz(k2U92rp zLaKP{HhJUWy{Ry%rcY8%?yo2HPha7l@*S(-?lK%B!!CP@UgU20;gb|1hTsx8=CwBu zRrea!cy`0D8W=u1f1v;2a@y2&ADW4rS7w+cu~|8-$s!PA$V6|_cFoq*-avnIRTj|z z>Y2K|DJ}ka7V#8rhJrFNK`eq=s1~0Ol*`iS`J_g;p-4uz!t8q?!p#Sv=uOB11D)WZ zUTR-uOQ`*tV+FVONW2jr&gM?}p1_1jPR>d&D@UjnTy$#9)Z5bJe&FCC%yF(}6n_*aem`#d*sr z-~&RmlG}Mif41mke)08FTmv~rMRQ0Q6_~a)nMB3Tl0xvC`0 z3a96%975F1y8J4>LwR#z>kWCkg!c7mJ5A53%Rv=J&dXN=D$wWW%c6M^SrOY|SX(qK z|9e_VEK4*s@}{XKn|b8GR0l$rua6EjpBx5?bktMI+^VVfH-Z>3F8eA_ zpjGV?j#m?P$G|;it0O6%-86~OsQw@*>ecJ_e*MQ9m!>GnQPPS0yVfO(`?H}r0V=dX z`1uI+KHa&^yG>r#-*a`pwN1ywHL}vj>KA4|oP699$C3&ep=~bzql``HrPI@nZYP9P zshsJEfG@Xmu`l@ZkmWII%RFVjGof)o3rrc{Tx#LZpKwX#Xgj;OQn=@2YTk|SlD$lc zb!8hy4w-te1cN4Hx;_0~eBoclu{xGES`K3iDLqJt<`=Uill;UNC&vl@T`gGt(lOTQ zLHgXpZ^u9{m3v>Qw4cPH^OEI|Ohj+RI{WANOWE0EunY3&@5AsaHS4#?EkzwBP#p`t zu38jT1qS$9sg|ROG*uIm7T8^5J7X+%%C_r!&lQ!#V8x2>HuKhVzX&e;%!^#x$#U9= z%&wv4IXO*DQ(H^f3xB>I4n?uUvh&}v&bc+VG8mUX-gD3;)2Z4N@-N`p82&PX`ld+& zZkB}0Ek zs<%#(5W9204pIQFncAIf#g9!KNtLQr*tPr~UahaCCBs}djIHlqM}&mMh^QS(;}3HX z5JkSAz@02nA6IO~-TDxgJ$XLIlht$yTxHma8e^}FYTLn{Mr(ObUQM~5_-j4bY_L_@ z)pWlO*|?vky1=;v!JX`sgN})QD~s&C$lfGj)n#PXYZ$1G@1;DSvjNJ`8L;&fq#+>7 zJ^t#jy;>$VV+1B|1Qj<*@JN}BWj-_Bd(L4i(8t#V_b@Fq>~E1I8YD*fLZ2Vdojt0g z5FIBdMOu3LtyLI)z11MX$|rng>TjPm3zm+fd7i9QQ#wC;jNu#c1>L=}nw6*mJU2M2 zW&=g4TeqXr7wH>^Z^BBl=?_|BJ4&Cj0%;%(?M6@QuH?9a&JUc1#4{d&

SCP^&LNeGkM2J{}38>mVBjOvz1_8<~5r3H={ID2^ zJ&)XvX`lX_+vSB5da>NVAlaW~F&@f~xvQ9@dBOYP!U?P7?3U8^6Xw3=&my~!yl^1| zPK*#_pVD#3?WjLzLzBAzhCQ*lbFr3N-N&Pcx1@rt7L>XaXnq)lgNO;C!O1ju?KD$0 zh7G#|@pGz+<Bv(%8<3vywI)jRm40z*Jh1Odi&ZoDLeY<+zdh)HaZU^J@8X+1Y(Trn|$7B z@@Nbgd7hRY(;rD2`G_pC|H|tg6WKu#!nLXsVHO2s1{|Q5Z0gX-iKq@)Ybo zibCq8UMZLXqRIN;wEfU(DiPcyX}U*1zAx^gXDeC8^iqe zxGnx(4Plmp(%#(52K}kSZA)&QcwI)$k&;MC-tM|avDH1ZX7&3^dGjto`ZmD@7WUUn zERIah>H8OHqhsaBrw;W+@v}B^-MmEkIlbbv@#nL*P||S4E`Q;5EMgXy=u0EuYvE<5 z54SR5K7L}JcH?BsMxJNhmNdr9;G!W1ys<)Dkdfo=)ql*XBb*@&~KA+C^vfp>3>hanQn>*eTWwAFfuHw(M0Whew)tRe~KtsuVaZ#GuE5cklByq1}@Y%ntxYo z6YGlmLZFu&es9e*S7ZpV0N{2xG!$CccNk$W9seXn8+af89I92f^N`W)5b zf!Zu>?$#%EXEXS!RK#?tsK$3^10qRTWm8;M!$;@e7tM6IUg~{X;zoX|bqG)vTaG55 zRXkHzWkwF6_*Y}%CA#nVGpb7Fj%_#V%7(|GHKi60*m%ffh91!=_ohF)tYyQiOmID7 zU3>tM>Jo}Wp7maBF5E6@?yBm(TE1AKf@D?BWXQ%&>rxNo ztQQhJLHh@XQ^|N?mW{uh#F^GFcZ_OG#WjGuyI)FQJ=H{;)vwwV6GEXp zk#nd9mE1C`XmV`hgcbhWw0k5p)#&d3z;!tGKK)Z!N@Cm{bMvqhTkOx4U2aRAPenaa zdLMdd9_O#eI-a_`yV6|LqNk_O!XL!q^Talpgf0tcvUrjejQd63=kJ`z2@-P2iVyqM z+6t*yuj* z#M&&~t-cx7)r-7j({bM)_DHCeF7zV>V{ zyz1vIJ?xn4<&V-(O$!YMCIIqB$FZM?&7_*X^)PVIZSEiKfk zr8`aZuu1;@tpqXnZ!(qd-0)Y6On?4I*Ih=W$E2GyB1ZM&;|aI3;hkqkDk)NCss3N| z_VJf&o9@LqWUTkj<2lf?Cw~$qowoz#T&%LAV1x>~J`Dfr@uVXG?m;xUzB?Jges!VA zVBFX1+A??jWHn7+VEj>90%LuC#uua2_$)@fdB&IaK;-Y@%9@4sNyayn=NG{lI%eiK zsRKZSKN|-dyK<#^JA-5I7I1l3Mzz*HXRJdGos!4bJ-cLknN2JvJ+_Hz#p_eKkf`K( zORsL+UM*WzI1qLeuqf#sWyQOk*|${<9mmHj@16T;sAlb`tkMa=CMjb7YZ}p} zlipXYCe{tJx{cMm&mHf{g6z@WQlO0QmZ@D`vYgTW9k^Vma z4_jXy5QWmc4J%5AgmgEOyRb_LNOw0#cXtXbD&0t|G$P%d(v5_4NrNEWAp+le@BO{+ zd-2=9;LMykXU?2CGw8F=^kf)Q-_RMzGHwk@5r>@LiI1TqqNPv5Xq~?)D5)w&PC=Qx zmm8o|w{=DwKh{NjuVZ>jw+wH>nsC3yl1#V}LlP%PG+)rhjR*E$HB4Fg7Lf`NRrL%b zWt@Ga{?tQ#BrO@Vhipylow{xE3?@T7Hyl%;Rn6QvYc0`pJg$;C+Ty=YFV0l(D1<9y z5*WOYSr#Q-YBEijE1pt(9pWd;z-UfX^7sb&DnCtI{WeRXr$eG37%gfFVHq>{+BbRD zVJ6F5-{r1Ju^=|EU3R)(a)j`*fX(iQL_}IoDm!p-o1jgJ>a#gii>HkGGX>4QfP9>7 zVD*}{Xgl?RG0BuhUdRPkoh!4}%SWI|MGFrNX`nW6d#j0TzRxO$*QVF6XG8P6@ z>K%<*uvdii>5UnsrzQ=3wfWm{htS5x81GCuQbw3d9(!bl=S$si?=H2XeZskzFvz#< z?T-HR0p){g?e1ATGVHXRb+rp)Ah;vguZJU#P}hVJp9(^VdH?<8qLjPq#q!m%PK#5c ztY%~(YE2a+0JTiuwM|UK`9zu5N@yn3$)X|Xiry%g{rDtsRlw_sDS`}=7Mamnx~fQocou4hgr(?|4uJUYbL~WEl6p36 z)Ks_yl4@>D6Mgqi!3gdWubybOer_j;dWZNz9V7klK-B*0Sy-imcF}S*emzSH)K-Q~ z$*y^GrCjIn^RV(}CskkGVm1v_m3N9l+u6A0hu+tiI8Ui9zo``(2%M)4R?XD?rUR!oDq?*KMgI|IHO|iQBO!K7Y{?j}m`w2yE<%nJCRgZSh+Uw1 zMtsTv;%>$h-;fM10%9Zz3~UkcpJSN1b1}-xg_E@&-+X5z-0yXE*2s$VmK<&*5rmrk za#Gq^O^$%s`8+&W6*i}>Sq4+GG%PRhbsp1_EA6CQrjBJqH-#!Y2+e^=Crh*GM zrfX&F(eo;Ib*$7sK?n210}-H0HcD-jwrEL`FFbUt@6kQ)o;v*eNI-criTjL`o)*%R z?V@wznwGbTG=Dcy#%hx_&z#Wl44l{8GwE7$7pf)@B9R?ye}-oJ*~~K_M0lvq-LFFYsb+Q8xTmh}Ev6nTglNkb^%uU3J44T#2oXo=siY!kmNEB-U!!wF zbW$}0ld?xi&9{fGmzkKInwyV@o!iuXJVG%wDg{&1Duw#p zz?>d(f}b!*@n?N(Dyky|e_qJmIg4egp0>6>?yG(8Kxk@pwpd{KQ-0f^leWijKIO&}6S(lk z-$!lAQ|tX?W=ZH=nYd`%qf76|$Aa1(dRIogi7BF`c9X9P9DZ@@u!}u2$>(zKEz+fK z_p6I|l4vNSwil&}Ys5aHvwagbJ1n3xC@Tw?-1sI04H4el=_C zoYYB;r5_R)4fwL3rr>HrA_AKi(gc2a*V1=E<$Li9P*%1eHvgt>{4B!iNtHh{@Qd#h z@D)m;etvQ^O%X}8JwDA6QFCWb^LkwC5(i}8By=iN#M`S^W)}0l~- zH_C|@;`n~w&1)?_;fl|8qSUa~4(5uXmUv=Zh+>j}>z+2S%f7p6b{HQw>%Yh#!=%^s zr6?Rx-%bzG$U`H8mPZ#o&wRX0g8zB08{eBU02_-(Xi??WE*>=$*K^|&V}7t6zhztg zAdK--JueBnc8LS_;}o1?$x#msGKwb_NR@~VMQJ!@DjP1pG$^IhKIBM}l&VT`x{STL z>@jS4HCH0FcqRiodWTuek<&?aZ;pdyk}t`fyUba4IOY*j+Ws2L)fMu4Cp-MrDdX>6MeJoq zcb|PSk_v7UV>r~4!eVJvB{phE>*idwJxxUT7SwB-;9ox}L{bl*P^`E7<%>Ex*7tbt zCh({4GV25$u_Ls6lA%xSN=L8u=Np7#eG=gvBm7piiXmW_`Lg>^6c%}YUE zO~Br#d6NyE+Kp)xG3kJWk_|ElIc)qq6u2G*H1uAQ?k_{>g;mpH=WCl0jfR$P@aP*7 zMFm+igS=LaEIte!A{P2e!RT8tiCr-g8+@BW;*M8QICyOv#gFdngwB&mH>uACX6W#k zC+3e>m(8fj`zd18u;hzDwtD?AbRtv?M#!CT{UZd4tzaM3)Xw`# zMc(Zr`iBV9I=|(m1vE}18Etz|!op0g<$F}G&nznGkL{@#|ns9&jDj!R5H)GpGx7D*X zeX92I7Ahg3J*!t9`_c66MD!xp`!#2Qcdp;t@xRrlU!P8V|HO$p_?Fmo#H5`i(?VJj zUC^BWz^L=o6aVJ*E^S(4!BiuWIsF3qHb+V_aZ8n{RF98aw+yLPnA?o6O5n>MZ)@%I zJNOQO644Dv^xPdZPfD{X1^3qQ{B>s4-{9T;$c%yZ181Cf%%Tn{j)5ev+V(GTrE8Nh zPCJ)y<3id6CNVbi{F4Atlx%~h3`#J&L|XI}ln@g7X{Lx7gIG=*4QHLURSUn%_|V9B z-g6Ud7}xvo7)avrUDS8!qlj#~?xp5I@&tD}n}dK!9uoVL8JRDoS(}-#z(-6+*hBAd zRj{B|1_mG0W>JC>@YE+z?{^XnVpj!{HXQMmJr*xJX=^Dav{P03J4r=1v@9Bj2D(_n zx;fXB-!f0`g}tB4`We=^!l`JV%Ic|opS?MBlBJYmdsWV8r)t-2SEt?c!b^KNj|t^l z{kRP!v5Y1-*L`zOu3X_Z+Bi@wK zTD=pmrt$gmVoCJH&L_uRPZZnc2JT%*Z<7bRB<3Y(4ZWe?Ml`_GsPM;EBzMDgSDUmu zJ6X+8UqpR0_H7HN`CxZLNbfKgpDqL0+*=N6i41$N@0-&+nKbtf#rS)^@OP7+`q1ZS z-wJ@V5-9CtVe_}hm3+0$A`+gls>O!^&@D$(lE|7d*WTP*q~w^BnbzKmTB48x72GwTtJo~~;%5s0E8@PhuFSlfFtq6Z zqU093&)qhcw|;(tOH-xo9C;SL>;BeuWHjW`^1ZZq&nPvAJe|;YQamGDEBv_VV}Zyq zB(Jfl@3`OhVMEK<=?zWan<~Qe*~!ol zX-~Yg*Gv3K=5X_k7zrF-Zhq!~%Q&TFTDER76|}e5T#BIWK4E=ktW+Xtk@5Lc#RgyG zQ(Q*9%;&F}k7OvYX9AramliiBFKK(p5)}BZ;(=ah*vWVkbDQYvv2XGmxV&fch}TT4 zMV4h$+$$Gf6ugd=XPAcOgHiAZ61W9hyNi2GOJanoYtzHl_4U6R%0AI8MSMHK{dI8( zAy;k@L*+76`6jK64MQj;q&BWNqR{Q6VJYm09eELtYn5Q!#OEs60sBK;H}*gxjIKHO zo7J%^QS?rPHKd(>PW#YsbSlKeX7GUQrqx@ec4a4nfLo&`QB@o2>mtMyKW`K{l}$~T zrJ|Rtd@Q!#G(Cc|DcA7z>yWK4V!c|L!)JGi2C~N9z3-g`1kuM@_@`RCJT#?pCpGpV z)#1BD&g_>#di;dPw*3}Lf$nBV&7#UrG%CV=YKAXWSTD4SUJ8u6O%y3A3QJ67N)s%x z(MQW8l07%*HKDwR7IdM1@zQCy@`tZ2Pv@_|fR$ar_mvf)NqQ|~2Y0j*gSA>14R4__U24hwErgS7Rnf#2Yc-bAsNGj@QZvF*Ep(`Ypgt+S!Vy{{X-4PtdyyhJ z_1E$Rm1cm;q3&?osyJA??IeZn8eWqj3nMR# z%fk6_@YSYhYC{l>U7L9IslYgm9Hw6znjMt%lDfhcN>0xs;7-frdg&d;+8f5~mh_>e zXvFd<6vb*&89zgtn&D-&s^8U(#P_v@>n(SrlqDpxa zs`fX*&|671x?Qm)X+?aDh~3M$FG=G=6_1*o4G8&6=LHvpi?xK*?W8TYiR%5Z8UYh{0rI@b4jL2FeKE8NA9h@rBE&8d7fF{>I-#ii~0(yGiy;s$<{q1jW3ARd67e64AxzC2E zh9yJq+S`-zfBbqYtQ7CBoVOS@TQSkMH^P#uo+zD$5E5%AZl8gBX&#d;hg$MnAYQCZ z3By+q_+E*;eLbl;d0BKwNuReo{O9qy9rtK*c3()CQddZs^VUGZ+=T#NC!hG7iQ43X zDnaiTyzB`I|ENu5hF?Ol?~v{TP#ZQ7jY%ua4Bjka40l0oRXMiNssZaNcQs&FsZe*I zw``J4paGxKzB)_9Ff98nGAjq@IO!mE^}ktLdbSY%04_m=jd>)BUSbsu`Dj zh4+a`dzsBeS?=gMgd}iMqnCbM4rE(n)U24h;fMcaESNAzTm&Xnw-G@ zf;D-;+?;T*Ccz^xoUP+GWm{CuV|DzUXJC2SMK(_9%dc#Uf;miF?FeERycn3{%!}zX zDC3LcZvz9}ASg8C*}h&QjazB2@1doKdezfIF9b3?4{wET%q_l-ttZub)CDr}b>V#T zeeu#c;4?#L3?%{*+7ZH=U$a9)Ka~S%H#k7xYHFkdH22`J`{yqyun?hem?oN0w^&*p z2qWwJca#-8gd^05)3DG-ZxH;cl=p<+j5s+50A|T;Fu!gf7VvdZmCX*FjIbLx6_k>% zt$w)w^|(T(^3hdyw|K*yG;%+`$cplFPK+#6$yt#!3dI_L0N^aGGz%wi2C7maGf$1f zzV`Vu1qH%Z7cZng@FTGQKe~g2*dsC(lrx70)gNwhFwB(GjnTWW=8y$}__I zJ|kchY)&$O7bmZ1DHZ2T2nOT>4-%FaFIiT85#m>mH|=*A(^sGX^rIO&1m73F(23i` z+f)>^8(LyJ^Ub{tK(M!naUB9_0WDHiX->zxBXK9hcFx`9H%3xWt*sE>3IQTG?9LbE z>XQrSOBqc<1b?fe@{3ocE6Rj{&tslX9(zW7ZnLJyD?zDF^7L?d+m2H<+qSC~&`GU{ zZF;$Odul;$G(y3d*%p9_Z()DhjA{!ZGzD7VG<^gxw!+I_S>V_ZN;^ue3IRBlvRUMp@7?~D zW8iQfaz(H%H9``O9uvk5_yLn8HcBrd0pK$0ifYFWAI!A!$%i<7@)_cp``#3mC^Jtm% z9ujr$C?e|+9Sv=myF0pvelub$_%vgPh@Ijt_F~&`;@TM9=$_OD>Dtwjhk9BWl7D|* zMAMG_nhG6S?f&a^q_P%$0b{o=a(G46jT$R-9@C#AnHK-an6pRFoxcXcH{ZYTncy#j ztE-z%e##q^?EPJ9zb@m#IiFkZE|d0h&|x5Str~IIt-Oo93JOFJ^2IK;!aV*Z)`eg| z@d30({rKo>24#CMarEttWKa;o=PEcXlj^AuLOJwgSz4W_-S!HCi-&mh_Fg0#!Qe~V z*x{ge>HT9$FRJ^u00e^tXh#U>2v?8G_d?=7Qy&Rq-t$O4hw%PdrM?#1#s=MC->px*effe~bM_Q8qKQj= zQA-WopP8!SruepCs;V}$Ao*kOo6zYIR=u9@5dKBcUY5pHuHB$A_Ud>Z%|g%+;8rQK zobCL>YNCBz=zH53A@k9uyQ-eJie&r6bQWXxwB{yt&df@kgJW3$?uL~ zD(hk4AMx@X)<{;P_5Otx*+ofFOPxRV-frmKJB4xJyQ%O6oltbxc0!%Qxvs+)ISbJ3#5HC+@|N#Cz| zYBlTc35%T%@8a(Lt;_@x&^)Ez4t_C{-U5t8*6DqB)dDD@f)z9F%|U zha>`zl6k(CIZpR28;+x{qqp^qNgF_S?1^*=O25L=MEl&wAUl<5#~Ak&e7` z-ZfWiyj35UdGVt|d;zyYYrS%BVIH-*G!KX#*?`VL>M159k;SRGW5cIK#HaBKb zkN8bgt}=H^7=xe&8zFjQVx+qIr1#y(m3c1Z<}Jkp^fJjW3zok4xJ2S}m4aC3#@{J3 zYXHt-DPVE|O_*`f7}EeOXf83?aSD??I1UT)63P7N4HV8 zAw*bxhj+g%gYJbjj5+d-ECT9ZyXtE2g1luQrMbiVd$4J9GzX{|x@rV!ow%HyJ0a6G zF=0;f;Ji3^ed1a>YcO+$<2ny#VC%+kE7!jFwlSnsRyK}wGW0ueN_nN57TU5yz+*ur z;nm*fcE`Pw>25UM-;8VV?Z%DxsR&u}Yr3jOB6Zz;`!7`cmk~alJ!_2jC}BTjgzyQf zeUpm1?X<}?jKN_Zg`(gve+|!noXpe9gD=0?<62RJlF=~K0eNA1Fdaly;CAh7;en)s z1!VO3PFuNfb`ou2K}7419`%i*$4r+|lltZk}(YWd2w{(@Md!`jCixqzpp{;{O2dX20g2D5V3-`di=tN zxX0DpJa5XF_8UX00@&=^Il?^1c1+tYA>)_BNz^O}uVd`ND+ zVmp6V%$dCipI~Up&aHRrfVoS6#^3kcq(6GIN@E8-5fR#d*4ZN-qpGG5--OBsa-6Xt z!y6e68W_=5D{S?Drd{Q<^0m+2tk~BwWkHUL6)9!ie`z>R+nK4jmuiJ28f!I{?S(cA zNrwdFTH``xtk%GmX1;J~$8`=BdvtAB?b}gCXyL?Oev|$xD;sy=yNtvILn+5pRHyUedJ-G)$Cg!NE)_QXucV9<5J!L#KVC9x2 z#-Ml)elHu_w^1cKNv5Yq z{mdGM7kj6>v!=hAjsGzJ96qHoXr#L-*h~ld0-Yc_Ita$l+GfJFP7`345&2}$PbO4e z)na%&4lc+Ehheqq;fgm{3h3r`rJc>=9WDLLdVc=S@~&o2skr?1M_1|k;~>w`64;z5 zZ?|iCx@id;4H~*RkE1)QSaw%~u_JEhWigIbSY9M%Pu!#EI#w~Y*zp>)w=L>&)VA+Y zv7q)6tRKBTlRWZk)+;iXx@4~elel_pq*@m}WgxsR8G2J*6PQM8H=I(bZ8%Tp=1VWL- z9uaNn%&ArFz7<98t(C?8;Q(7Y|9LZ(vy{0T8cgOg--C_u-8bN(P{`J+ROvXK$6*c1 zpf#Q|RLH#b%2ZS;;TO#t&o7T7`;qM_QTVwF_Ed$#{D*o@=$(u+gIj+-K7T3kYkYc3 zR0y+i=fv4WvbI!rBlwVV#Q!{ld!k8M8DT&YF-O|8_oGd>IO+}!0|}Z^y9DzVSfI!^ zHzqfK|7lB!SoYdyyRo9i!N=a{ABd#8pqQO1@2u2Ue|Wv`NPAp+xB?5H?Bk6OjYv@#6M#gQ`pP zL|S&bmBvXaq_xz{>lcns;+2FQbm)wT{H6JfRn)}?&=VYLXmYwU8yR{M4dqFPaG*~M zH|vPfEJcfpzPcIqyvP!yx-3OEcixYn=qkkrTWnXG2kOLx2rHdX&7+|PRt9O0_T}*@ z2}~F!eh8sp5I9|Tlx43^H2x?)`GTT*m*M3{^vlUet$kqE0dKk2h*@bC)Cef%^-f^U zc6p}eSpw4e)b}|J{L_j_F>CjISQqpx+AwqAm-gt_*a62I^3CBP@8+b?Tpgh)*vp0&11v)gP8)&ch>Z%I_(?bgiVLM|qY7p8HxBx;k)4{-JN^A|LWDrf zMNmcSp+B|OSY}z%YeZ^Uk?s6MPdG(XF(=vkv=0<>8W}qB%RM+mN_>G;Zz-Th-ILgj zDq%In_hOx&vxQLar5JJ4ad+*pUm?h2k^PzMR2uY7J*?8o zKSnFKZCY!*JvGVLEQma`ei+8hn6Q;dr7P7HvB3Y%c(zGL!$rt&eEc;DQG!^%ao&cM z!YETzu~;?U0$F>Mv*$0C#Q8$#W#aAS#$LCS>_H4BGQwHh&hnNQ3YTGp(DTn^p@I<9 z@Il(Jk5Q2yju)w)nRW~vZ1)*fzKOsofjrr+YkSM%{D?b{#yzY)#w%0mquYx--wb^G zEKHYo3CiCD7c~z^`<>3Wq2$jJnPdAZ z&eCNuGKfwR`JaT>Dp{>gGY%?0?-tj$4AS&5HHvl47i2vibgWFsO5UFTX)Qe|wIkJa zMOz5*I;$&9|FGR3{ls(Rphx)A32)d=#y0S^+&Nbw2^Dp-3^=Y3^D783UuCDf2-ly1r zl%tp+QLOUT(EFW!l_Mu_Rd!>jDqDny-Wwi^kH|h_R~VRW!ItAIh}7 ziwPhEy?$VoU(RfC`~gsb4wiD3$K=ta-3GYI6T$PA?8hPR5!f_Us=<{VNulo(F1$|BGKW*d?i zWV9PhTQPm&q-%c0ypZn$`4nAf;<(Iu8~0N|Ok;SMg*1998)uaQIP|o5aqux{pvErt zYk@$$6n$SEL&vLE-NQO8hOx%0datY+&NPiWygfvF9bieB1%NL9$p_#U1kz?sG zxd=ts-xqt>jVT@^LucpSeT`O8O|}KMb+HaM_mjKa+F|&S4cF}9q=%?=v{v}A zJIAZZ-oYj3?jcRjmI<$nu}Q-9L1XjR)S%13fsWo5bptnVs8=i<9R{`%yd;P-j6^bd znIY8D(NVIjjjN9=f56QtRxw~yz3JV2WPsOLJH#%~Uvsmh=(F0WRuI9x{?Sr}Bo=+x zRBC>%`GC9F`bXSOaB5N-8saXs%i^VWxWCvZV3pMq(^YHfJm&@C^0v&~+8Haw?@t%9 zGl>j0RFIFlph>&FKH`+UiKIRoBYZs$wYx@fzznVK2nha3zK!(t-W%3p$~11;Wb3cs zQ>i9SkYUz0(nOeq5?$KvGBanys8ZIn z@NN2|8ACxWmwEJrB+}2mT02Ko{`s0O{6-G=IKt#9&;fLP$E-`+gfLD@$D+m0QczC| z@xdy+!RQe$5SUasomlYnU3I`)Yo-h+vQ5UZB75Hg`Tp!$W#O;8tU`h`x1j6XaYAQr82vs#Is zeyU&!RZY8oaf5OiEWP%p^8hi;iE=dwzsCcgVt@*{h-{55Y3rmq#8g<6jB?FNnY z2!i*R@gxV~2?(vSIn;oGw@Zd;9p zL%KjuZb!eHQy+W7^e3+bA2lQjmOH;NcXh~YgZ6#Es>vO3Qm5lRleV!r$Ut4i2)*#+ zt2ZbBdC*0vae91WWE;}xwf2hnkK z5G7l+Qr0Hpr#N}p+L7kN(v*pOgjG2?3p6>>w%{wPkBRH~n zST=9ikI{~Gu&P9d&pPI?Lu_XzMVs@ZlAnD<^2NB}m`ypbU1A zA45rtl^p0tUADRMKfS=U=UXM0^Grxzc#I2`Lr!OPA;L3ug9G|c?MpsPp_6}O9JEu? zbh?2II`|uK2bNN1WBYA0C?wN~pI}M6CQFC)Uej4W56DY)`^eWYc78jc8ybI`@*w4!hl=SyWUsd{!Y$$k4l}3ODU8fnAvKuPp=jF zgy*xyyj-(}W3Xk2t3u}3+Q`}f85NFgJ2myf8$~gj&E*Y_W68dJi&n^SObG31}(Y?F@j90DYPd3 zy)~nRB7oics$Xfk9n*%Hb`7-5sHV(N13Dq$@6=30slc&uG}Ww+i+gjq^`Gb>*iUj9 z@5)+l)U8f^d%*%U+8<$w@ZFZpZ{BP&Sr*~SU>Z4wMmjT0yYDdru>bl=TfVM%9b zs_+qC21`sVnjC8Q7=&w{Vz&@8;_@<+2?(a2-@kV^AR59efQ5Bj$B709Wzn*%N-PKd z2qBaEGzAD2Elo6mc>|peAx7B>&{xf--+(3dXnHEtPwJN*yDCwz`>Xm%%GC(^7087$ zXw(EHR7f>(y*HhF`A(L7M+~+?=g2ujH5{mpjOwC&oENbJua`R6X}y%c0s&19x*>+6+A~$$HV%q3p$f3blWE0 z7*4OJ6XiP?sKIY8iibR2Nucn!nmA7CBa&{l_wT$)?iTeD9z_4z z&Dy|^$T3r4a95CV#uSt!h34*uc54O(!*1A*<#TqAkmz1AQ5Tcb50Vqu0BPDc@S+H+ zKVqKI`}D27yNlY|8&edMhq668=ucfbh*~5Zk0Mw*yl5MWl#$I$KG5Eb@qb2u>DlCC ze#cHb`QG0aO;hZ1k=qSTHOsNvnvd2~t)T=6SQny#B!acbRR>Q z`_S8RYFSIJpqz2C!@=W3^2j0*NMW&dpT3_Zdd0oh=OQlrl5bV`>vEVk(##OeO4+*b z{*`|5Fx}1e-tjB*c1H;)sgg1v|D3ehhtVdv(}N);9c{MYb-$AC)x3OXOIN~-!n1fd z+(dYUEw_ebs{MvxI7yLRqxCJ|2Ei8EZ`Nh-C0{w%fGF9k-9hmtvbc@Ms&?FcH~M30 zLKnNihQOC&6~N~W9&l29>SpoY=yTj>T}qKlK%8gY@yIb&y7q6O9^IdG1CtnY_mB6L zLuA8+H^WWJzvQ!)I}2f5;j5~2mi5ccBkiI<(<`wVDo?-Az>lJ>_s_RDa+t#1PjWSd(g>AA; zT&jL9VCPIICz28RLbY7Zd0uma-9sqdU0@TRibc^T^Wrfljr~SK1&{RZn+iKA#e~0R z4lGViY!&jbs(AFbr7XR~>bu&Y;`tHx%4Ybb4e<_TzS7n39LwttwvErh_ zQ_;rvsSappMUUT%mlQhsAmf^<1D7<1=na{3U(L$&;a#88A%n(dE@sIVdC+t$vupaa}#U+_6+x|kjcvWH5wI(D$QdX$I z#J8IE`or|CtN?l4`Bj{eWsBa@RyZc95o<40*r5bm00Cr96`6$37qsjd3f-|#~5h*4PbfanQ=qH?JUsOz@G zTK>xFkvnlvOT`FfAeqGNS+nR7Bw>`$S=>iO-Hkv?uDwCm6-RMMLpv7B6}>O_mCalm=C|6)&}O7)A4 zr!p(mGE_s=qL1?;lelIiVpUW~IdR-o-!n;~??n;DTBqs{*RQN;V?d(gbW?2hP2yT1 zIHqyc&EHn?yGt9xcv?WEcyj!Ce0gVXxvGEt)_c9Y>((^kK8f4+c}2EB6aDw(AE zh(l|_&-ug$qu<#0ncIKX@LSEf(KtDX3GNer5dw{IKMXLUIhLc%nNgu;o=`}trMs5* z+4Z~5-AZogA)2PRo2%;9N2M|&{KXD&3rAx7mWmL}Z;gy2U_ec0Gk3hjFjhy&>+7pN zDt%g9k7c*;qx$ADQ0MWF_t7VVo z&3 zq1M(6$ln;S^|%%uRNs|9H8Qt6F5!)De6%XAU=~mRzKdvdElenO*u?)SI^te3H%=6jTI zUw~HQ%&YJ$rspl-;_XY$XyPSeezzJzt(CnSg8}`9GOUf;upF0fm+I#xMCaF0Wx-+x zmBCyo^NOzX-vuCR_4U$I(=E|bsOIL#W@~C$G8&s5L7^*8MRisLSj|2-&*C*z>HNTg zq7(+Lt!^C>U=4h4(hVMayQ7;Qll&n^Y&ucmbTX9ic;1|}Lqj^$Y37%oT3DV6!^+4h zqRRLef#AbF0oncl{Q*G;6 z5K5>i$joG`RW%y$@4~%ybND5vexn+*!bsmik$@RGTdCW4=a!u0P)!EWF_A0zK_G~8 zS8!+)Ik3ASyO{bq`Q~xZC@S%87Abk24`>2d75Piz0`!Sf z$i5>|v#?RO8rDgN&Y8muLtSrdL*Iz8V@_H9`}l9-%Qbzjs~?J~8nf|ca;bhDD2UVM z1%9#L1*!PF5MY{#<8=*+OC-+|FTM>95js2tdEiQ;EO1+v^C}orEm=|wT;iYZ?{`IQ z2AD&*qQd>VXWpnU*JOzEX3rbmyFulJ^1^1$O?9nl(F#(yMe~^K`Vo?Qg7eS-N@|!2S z-Uf1&v4vaO+Gqq=_6zy5XO$<8C(HD$r!q{HOSC7a=FYlyoHxHUXvi9`iJucpNxOWG zoHWSRc-)f8i)qu5s2TYKYxE>e4ZUwzp~|Ge7WMJfX9Js{w!fRuH}yMrt_dC=Dw#RTw)5< z1E}}rWrdaccGnuTJQP1p69*MvDP5%W28U_Yq5`99C=KY5ELXrML2iR9chob$pWQ=v77;8E> z_oOXh4_DiBnx}`+`j`SrR!_XrHbg$DQtTy+gL_7M?PfiiqD?dy9yOz`p6 zeAJwhy8Ic>(TP%S@(Z2aW1s!ThAW3Oi6v^;)cLt+igRC->&Ri~4QrX)pamnx@MX@o zZB4*{bK^DJmc5#578+8ka;F9FWGx$IpU|R>Cyosd%c#G5yddN2iP`J-GM{0yR#|c! z?_8PE5F%EQ^^q8iAq-h+TGk=zt6kb64izL8XY)q z^C>@Tdzzt2YtN_C89RiJ=XD-MgyH!-(M?s3<=^v!q z-yDKZltt8~dd939MIw)Kdle{u@){LLv?UsjJ8O7jn?Ak1VQvEolsK`KlF`5-fH0f@05JfL4SXH|c#g;m(};(wMF#-H9|3qkzx60! zG6C>;7Dm98U%&tiFpN+@b^T5tp!FXYC}I5}01UX1kEw7sFhc<!58Il54B@jzhy5x-pr!ro>AXdZDvcwjGG0Qj)zc)*K#%18kBBlvLY zF#r}uIFIXJWU}gx8V=TQvP^R-c;|=kK?wN2>M*!EO8qTd_YnZh_1n&K*klL*_X*@L zGD%o*4uBXY=K?^jhZ}Q(_W>or0L+Ykkz&GGL;u&#Z-UQ%@oz$S>y=>udL(%0JyHS8 zFpU5J9zNs`>PZM+eQzot2EG{Zp~+#Ny#Z7J2p=pl6TlDPg=bJEKs=sE8v|CE3BbdI zhez4i#oWP-iVNN*k_Es+fs=OrHAUFdd^kSycP|EBG!8jyGdP(p&)-k6{6l5>uLsX~ zx$5(?0CSH3yj-xiIRGBm=K=r$Y$yj%4d4aA-sA$5QQ-W#%X!-AcbY-0v^L8^8i=?E+8zn5H5+#1>h-x*df0){^Bd8VlsDjH+HjjbYO=+oW{-z zZ{YeX=N~k{sZzPP{vt1>VzRKdbayd__viX8rP(__$0?#+K&nK<0l> zgXg!ec-Vinftab_gun1*pn?JO0o>?+34eP8gusmQ0Yo(VaKNawz4dRN;lD?NYcRQ* zoBrb^7qdRhun4~5@X4USeDVQIF!KTcHtZxHphNV(y8l%HGQ+qE;P(IR6yz_bVCTP; zUljmoe-HB%wo(9~L*#<_6#{4kf2YC!QLp~JR$RP)fnwnc`#0|~7w_L}vs}D?EiYXD z&tmdIU}l8?0mlEMcm2&F4Bs#CNpZnxksl->oVc{N5I{}K`wwHRlDnIowZm_kTi(A3 zV>uL!?f?3f4~A9*Fb42(!R(6wp~zhDox=+P!+sS3$o}&SWih~9h7X9w`JWFJ{DB`3 z50wSg-!dQw@;e)Uf2bV(D}!?({~-hOz=n$fyhuDiAQ*;P0+2`If!l=X{PhzjHwac( z0^onf37_=;j>ZMy<^%J=u79^Zv;=SC4>WnWxM5*s@Npr$Tz|UD4NtzgG5~}a2n0gl zYxY1H1h1RS<$yF+J_wv#`roZ!UdZqA^+1D@3tWF(4tRmc%FV_1a6mBVH*@vBRlpDk zA2&>=5)jJD!~4g8U@-4*rtNssb=Tx&IiK3j%x)UHBOA7o+|dgZGbw;^Kz zK)cftF50{k_2w%d7vx5_z z!{6Ziw=NI_g8U%^!n5sRKQ0LPpYfpoDG>0=2mDhR$n}RZ5XAj3KY;KMKAbUJ27WkW zAdu%lxqx!Q>jnH|c<3RB=i&b61cHEnMh3|H$C3cy9PWQa3&hLyhm0G@2Z25`3@5aI zun*z+0s39_e}DcHEg(1d|EC|EdH!KP9^n6l`oFsHmr(yN($N3ZXD|@*N4UTc&>xY3 zaC1H=Eu6oD@P}bu$RE22$Oli5e>(`}1oH9yz7G9sb|6mB@0;-h8JO>3WZ)6}BR{x7 zf1Q#4(&d4_6Z_C<9v(0!gi7w;M!+Bl=%Eq#cS`=qbokSe{=)^ z;btBT2m%6sUo`%u%MFC*$saQKV|))}Je;8a$sFikR{$;^PVgT_z(B6wSLS~i0mJvy z!`Xr1S@IxFxWL??hf(DM^KkM#bPx;$!`*pk1kCq89{%kh7{bT%FbZJaKaV*uAK$~B z%LU=&{o}}mz^`4uH`VX>|KCpIf`H&v|c?AA6pNP9{6Ppeoy+N zALREJss2y*ul0v_{Np@=*If9`>c1U-E5KzS(8CZy!0^k}AN|08UTVO=8+YHhySuwfaCdityUUmJo^$X0>fS%5 z)^yLas(STQ&HUC={Wln~?H-|~1PR28*vE=cy#g`-n#eWM^crwH7*5dA ztA%Mh@kS+p^wH7wg8b9iC%8Tf9UB9RiyN#+NC)1aq{F9+Mtxm-><^%H48)g;D|^VH z2r&l|2t6)=NvL)~a$%BI64K`Dx+1vP14=x9HffmhB)U7qV;yi!!*;%>D@s=+7`k`q zE%qWe4MrZiEDdBw(D1P!_TQEn(0tbGy4CBK{nkEjGZpXP?daxf=gHS7A2+9QmV#bL zH40{}tb4vWYu*~O_Up~AkGIFW55d*ll}DfWwP>0>_2H5O22qoMTCf3#wBs~>+DXfb zd@j;-hTL|ezkGK3dRM*Ld%*{x>6V(+2pta&1)A9Gel4x5mBGG!OX3?%s_vakXh<%n z0~P{yFMa#u%LRY(|CrB~TMFEgkkdhl^^$VeQizOp*q)NxUV1KC3l45$^+itIpYY-s zN*w93>$_#5T0Yi;ZoalPuZfg(oTQyt%?$}3>0hiYjYWBmDYMC7%O%hK;C+pmF4#Q` zauq&a3PrSTp4fP~cb(%H>#V%ET6g086Rh21Mf$@YQ6Q4;ErOjFIe%tBp{<*sWAi(< z%k)K+DXPDN7x2sDuH06Tq55>k%f)6+L#WcXM+3ab@Y~fV(E8$1y9coEhEYb_ZOs3# z*OFSba!3T8u_S=~C^s~KO{OpZ5*qUA04`w^i%v5e8l?tDF9vS!5XH(Y0giC0LT0^) z1__P><3)SaUK&`)eD#&ILzekCC&BaEmB_bR4)FwG6hbL}Q_ygd@?+ANsXY$-xM~5= zwBeH8(NPNn1kWEY)n~8`-?PI_&rZA8V|K8{e9!r{imdaDXEs~E`Sd9 z7ronba723o^f5vFXcmfZWeJ;{{g4AVni!A51h}hf02Aaqd7c+Ubez%#6%W5gJJx)< z(4+~GrWS#vKqpZUTg+)JIr6CKbj9$!t>;*^N5uSrQz>HYm20r48(K#~qXlL5Dl8pJ zj6k5XWW*l=8?~q}Ni5=+C_=!ZT@@nL5h(6%D(ruEX#V1MX&A*Wj{^n!YrHhyo(SFiJ@+s^YalXp+A|O8}yx;Tc+OZ&?=aO0nK(2k+U)hx8IECyzm;TQ76opU z?5_90+{hCouYb8sh2j;+)`w0(Ha@V*z31JsldfB@1uR`-Z)u2^r#DWlFi!PQBKC}Q zOZ#yp_u#cj520whihtr>B)hs3yGjj0f>ezm&)KboPT&_4x<`kyB%#QW>G!UfuzyuB z$PyPyg{&959>YIDWQ@KfCXuY<$w@|)*#BHnCea7w*5EqDCYLLG)CJhH3Zu|GVW9L0 zyGoDFp*XgQNO5Jj!|!o;%k_`2eYLoEB9NOzD9WC*^SBXsc&8C=Q2_gZjT4k=a<_oa z>66+*9ZAoQ=j}h;wdZBsSDa6aE?$dlFl_a|s|h1T6cWw5r%Ejx(T!&!24e>*8N&Fz zbzOrRx58ABE|hN+xqjfC{0Z%8D3P!8Qg&HbQebSD@FE^mvs$7tHd4ZF4O3lnQygBe zP5m6WtPX%_V=7>7Oyu5+1T*Ul8kg)kw+8-9)g~+u-0L_Dz=1L z?pG`C(3Wz7wUas)1p2Kw43#H_abnnm$28qluJ-j%UL!0kVTEnD{`%_nD!ockS7*n2 z3M6;sbwnCY!xCw7fsEPCED1|wIUCs2)4+5M16Jbth>?%=Zp60w(U-9B6l&d$cR-zz>`6)woS7 zQwCGyaMivr!CXf8NVKa}9W1+`*kKD&z948mK8hb^d+v9HeiwD+zseWd!O`w9}K9xpjni`KRrW3H-n@y#XKyA>T+-%n*9aE2Ja~hb-8?dvp@%qLEn= zu!TSTjkOf>Ua*vZ9D{MsmQ#HRXX*7bW<#dOQ=#M)jL&C5FnK{|&&6wdJzp$~g{?{KHG^i;HUgN~*oT|=|&$Xn4-hx(Isl54qy;xwn zw0Xb2s}i1T4x@_2Lql)3`}4ztKp&&jk1h(V!c2)_4KcAa;Zx1Vy=Kb&x-=npY1idW zuTm73q+Sk>51poH-}<$6z>?M7)d_NWv}`nuJbrKGslzysw^NeQ<~wkkcRATYCsY6y6};=%zUM!qg`iKphq8l)IGCTQ(*h-6l*1@ZUq+n z^4|4k-nQt4PgJ0+P$QHQZ!HU&pMf<&?j3F<2K$_qb4&DS;vn^hJGbSDNdG}f!c=lE z&&KS5qvD8Z=@^8fRWp*rhD~P+V#d&t#UW?(RXPC4SHS3DI@Cmw2m{D;SzYeTWzm*; z?J|~?C`vUr* zQ-o2Za^ezvkp^Qc<^^A<@s&pZ>f_An&$5=IDf!4sK08XT1jULpFkgzBY9kl%<0`QZ z-h{{AFp78}@L<=s&;!B<<(_3j`?c~YxG!AWo)13`-;w=Vxhe56p)KO2MB*}4&uzP2 zNz4e{zq)*3gFF4qJeUNvRi0JQcskwc>z5u$p{eyDvB|sz1FtP16cu~)2mRHxOWbc_ z)#t8+atC3oW#G~)xz^N;#WE8OhQ9@y6UQC&iR1?5Ec#5)iDHHCtl~IgFi;C)%`Bv$ zG2EdYw^z#Gm2*WXe~Vh#va}Py-;GvWMEQhh%p7Zg{(OO@!y0ucV7_t0dssAn9XEtG z?$9tD6k#0%8M;FK6KV*7}*93D2=u> zZ%0is>=bX!r#F)M&J2#EnwN_W`V2M3l1>y5a;khy~p+hg&nDt67G{$XeQGb%8BX?h?O!|@q zt7(v1+{}={oPU?()eg$JV%RrA=|eCyLOv!Q!jYf3p9}~XeTtCzNb?N^^+f=0C#1sYZgP~o68QY11tV)obm0v4){t6EFAL2DUPEXb zNgCetZ1TH`jNl)L)1ooI_8gz$%bme1Oec^rL)cbI4v9aIqzn)qi5yB|6eG|4H|z_B z{-m6p(CY*N)e~JyMs{>ZA$0cm?|J2TL{$-T59>dBGn4J!R^;Kce}tj4qVJhc>S5%W zgyt>C5d5`3{^e6j;*hn*+UVQ};nbnwqin3onf!2}`gF>mD81{v~i_>ez4 zpTwwz{ADPwtQes1=#}22(A|@Q^$i&(d}-KpksvCDpN$}ZdEsq~KXEJxeCIHcqUm&G z3r1X6>?I^ae~9d&M>#&VEMk^B1C&71FRa%DtlaS$OzRhpdn-?K ztJ(CjhHAt}>o_Eq^PXlkWjUw#WJ&Fn{fvdzwp8FGh+xKB5+^APM@}Rx*Bkr;s&3fJ z`z0fu_=vbt4GI%mUrW8N^`cB*FWA2y}Er*DZ=(so; zGlCMRH#0ot>!?zDc$7mCE?3)!&|s*k>Z1H;f`yl|Pf4cS|3m+KTwp2qHGNjFVOX&! z2>NuxFPfOXGx60qKvng1s+Nlp13`>GY09WSwlc_{^PQ?vuif|l3Q9!m=*zJM9q(l2 zl#Sk66hZRtuOc5FMZNbn&7n`%Jv{NYPMGVXgzV1fpYEBT$}P8BEjz(odRWoPDQ;{kuFVuL@$h{3*M%D8Nt zT+D1hb}|4DkeQ8#gN%)fi0wJC9a*wE~ss7dEcH~l+&)NX8op=xj%6kEc~_DGRocGQnOI5dT;!G zzIXIkoyG6nWL}WKVHPo@rM@-1qn{1xM367@`DlJ6{f9tZ_GLbAz=`+g_F{R`AAPis zESKHh9Z$~-`duD<-VQ|x(VFnVeTHdt7pnv0lH$Uva3~+&h69W@$65wvFk-n<*u#zl z4|!};lPTnUh~;q)lA?KR%4%#@FN)Pd@j035{mqy^f%TYnsfRSmSnWa?FuN-+j49@kt!Jv^>-Xet`@LcgSBpFhbOwQOYU|E3GOHMRJ5h)FX(28s4F~vVSLIY)zYUksWe^Qv|Sb^R2>)?Ke%(v-7S(Ld|8&ux-FC>vx*A=2zm$!G7CMNbALZ|D|>& zwZe_PsdnXVz2c+$n)7ykSLy*SCIy2Yomf%B+|lr~hv_c4S5lOImj3S(l^$^VHX+^w zZfn#I_f`a1O?RjEt$QFJ+~Q~|(%6C>OW}^8#)I?jV3E$!rI`3|8FH~)?3~K_7nXve z7Ah0qwVudW&Zj#&raBdM7@;&pr`2zXWLq;dy3~MDQydIPmg%ZgR#X3ngK^E4um|c@ z_@wCu0G}1Xm(o+!=4jNh4W9(Es4bS9L?4i3KRFm(z&D#8(hpRGlz^Q;x{307VEfv( z^+ns_#9rDC*+8TR{${R*aCs0KPiSVRB|_0kG$g~d;O_CRJ4+Vo=M5jr4T1?RM2|hk zz}C+*CqWo8$)xr#=2Zxzfi>GqLAP!{s0I{B8V zn!zsrX{ub?7V85ozB3@m^r3pZ`cey^&V^`we_cSK3QH1qd0UDwoz*=Y-v z#;wI>OI06*H`RJp_;t^!!X8zjJm@&sfRR{twW*2ly21(~Pw^+0Ghz&aPwy8)#|<=G zH8pTM-N?H8Bi^|Y*S<%D7l|2i*G_6+(Z4f2Y}g$BtC!a(qbH&mqr;EPKbcRE*38|6 ziej~uGI=pFNnMC#Rf{y|P}OLrf3@9PsPJp}T)VX%tKxUX>!!^D^-El>rHw3q>EsN- z2fU{1^V2yHCwt(^zR51YQTFs7N{taEMb8C{jv>k&evisL7Ih_w?PM59K_h0?J zqnI5R2{-KAu-v*M2d-^bcA*eS>pQ%=eR^)N6hv!P{0-UJI^g$-tP0yCOP*vzV6@Tj z!I!4ig@tHF41W#T)%bof8T_GpjcwiUjK$LWTigL^FJGofjrU5^O3H#!S{iSqy4#yj ziTNh)WmM*tj_>DwCeRnD^41g~Y8o;-iNPz8#N0E{3W0o1eefY9ED1R|#tgla1V$bx zHDBF1SZT1(NNL)Y93n9^S{Zb!ar9rOD$V`Nb(9b@1h;(M0PRL7QkH1aLT@v?f6Q+! zIt>Gg9rlWiq{&Fllv+pg379zev#g{+_4R07qiFrfhj?yhf370y35c|X3ajyWwIiAg zzsVxf=CytvcVMeTuwhnUmf>WVI-lsv(;xsHrLjN5XtO~!qO~+HRX77-8v5v|xlLdTJ2n1b=Ly1z!kmy~znDv) z$+|n;Z(<36)-vrBKfhnwCw^bXDXiim5HKtVY6(NlqNDvahK!!8muTlJRZB|?{je`lLjD`zhNLQcGqN0% z)?vNgDy7X*p1csjV1*CLmlq@19obL}M=40)qR-wlLBKjdCcrAI;GiQ6jL)_3*R6Ut z$+^iJ73(GVh?=G`de`3Ny40|K%Hw9OThI9IqgdFTe!?ypQy~Em-&6EXcFRysFFj4EG@!PwKw1Lg7O|p{J_$&jI1H^3Kl)5BvuECyDngH&O21;v zpjt$n{FyMJ8x=~jZ5RT#k0X;^`DsvnuZ@O0Hd2P$2=(;->PI`76CQ(>oigDQTd*QRj9?pge}0Q_|#$UmVe< z32SG@cy9cWS{|L$G{LX|UTJpT_Yr%`84ZSXKJP|{l6T?-#dZ9^O_R-f1#AvDElv8> zeRdAy?2dc{`fqD$$~P$>PA>6HuXjia z(8BIlY@;&oEF?R*`Q>Rj^4=qT7J_Oc4|#UB&f;Q<&Lz3v=yjQyYuDqZcKn9i@a>~& zi78VAF7vrpDZ=~g&$P#$FpQU{K$y*QR5(YLl9RiAJbSBxm=r+lrM z2-EtNnByceyjK52K_ebYxOYsyHM{xQx~KdG$tulVhSajZY6OLQ(O7A!On* z_$MQUEOZDc19?NBLirvWK*hmJ!-=T)rEr?B&qP&Hg{mfGLP8<=LTRWF*LMl? z4^N3GCG%a$9+!Brsh8ypO@2<`+#ghF3ld8(PeNO=Ze2WXXhLIys+EQwGBt*8cboCO40b2|KeSAN(T4q8UTr6s<~1E=l^fN{}2)*5`DhT-;^Tt&4nA&29gq z7u6L$HkyZ=SsaiI->jF}>lPu3N*&dVpUH`lydsNU)6qy8(qO2S)`ueXcVs-+9gd#F zJ+>#H;x_D?UGB%;wB2pWcdt;S=03A8h&C-=X;0l>`74ThA!f&_p`#fgx4*qPb5{3jWK(?9}|}w8x3j^{UQVoXddj|7cwPu$?(xkdc;|y782>-y_-3 zk3hYOb)fPbyOm`NQ6PzrquE%`0}mw(@&591N;7f6p5_g@uU;#++hR=T*#$1Goa+t+ zl1Z$|Xv^Ypt(HC(9}oA|(x(_1 zZ%5KT>53Fj*yAEFYE}-l5g(bA+ z@HTv{!EiEFZ+JsZhZx{k_N958~{lvS89J(b=_wh!+}DSPA6)gCWvJN zLwR^ZLEdOMpdbKuu8&eaFUA!}uu=VjPo-a(3Vyx}BPK=%(K5+lajz($Tk3Y7Jq89d z8ER!jt279k@QWjI3b(w-&e*1rZ8jk|r6UwQxEUP0JE4=ngg`7=tctQ{O8@rH7yFs0 zFgg!IXV@2I`{yHW*?OXsLPFZvqK``ZP&WflKxaE!%8ptsRHlEiz6dj1UUrxVH0VrO z%aUem*;?)fYF3X?$3q4hY4c7$n(Xx)8GGnq5$M!22XmK z@9y{65HjHW;LZ{noszI-nJSc+h2s+f>(?KrT}D_{ehb$(~+M|E?W zdo;OPYD6?;Sb(oQ_vC!I@5X@eI7GWf)#AgCBJ9SXfEU;d2(y|Qs<1H8hbrlCUoDA_%2=7+JGvigLB|%Yd7k#|UQ~DKbw6?ep6S2d&PD zjAkgv!h+>Ff?6fJeeB76UAo`HmQOQsceh&_CW$p#Z$KJ|(31rAlvifO~ZD$lQR(j+p9 z)7Txmp^dJatCVR2r=IX8MlEN+&{CjLor*TBCp0?pBNPE`|VVn_;g0{$Dz zn`ZXZ$UAB#N`%=R%!OP}r+$W!>X=rNHMJ83P@^Z~FfB%CPqW3;Je2U+(l?HbFsTwz z`3$vSvWLKrYBOcJhWTXp2YBie<2M=5r34!J6GkVZY{9SOJ6rNC5t>wWz7R>)+q7b# z@MTFu9bYV&0`%EdmceCc;**SO@GEzDS1f+w%&h_(O`Y!iRk2XPPxUJq4NA5mbu$G`eQ#xL^K@DZe<}n)`kM$p7MML%e@HE4V zC71S&5c46v*Aux`a2?Db%`IV6@7ZDF-^bys0%QouHrSp+-i$6w&I`)-veI7^4(s8W zTK6@rg?Z@D@)*L_49jUN&W)#*=7P(Xv32jrN{64ILfuAv!Lw8+b7Za4%HFPnA6@H$ z>KgtutcV7`WdQM5Zxy+Psgj)9Ldj65w6phS#a$_AFeXFh=>A_oPe{`#9V{F1*_>2Y zz{#YRu3SVN{VyTe!|q7!x22hrHfyWzYsJzEIEJ(^ zB|g4L?5nNr{~-GTdPV4_cy3!S;q!vOuFW{Rg5o!;_W$5%b;);Sn`Y0NbC+)HW^AiM zaQn`9yeIBiTuzbV$&EgT>gZ#*^=gD*$;ye$4w0KnB(yF<$#27NG}GY~`K2V>oB3{s zM7^s6i;wUJQ>?`GZa|9Q8J?ERb<41EBkHfmjsa+$X*C)P&_Tr4pi~Qm76&BeD}c+& z*g6lE7z-xW+VopR{~pJBW3BpLsUQu4#YQZg{hJDLw74$6;3LD}2-6E4%JdI(`{O%y zN`Vuns41$2>h1cSx$^uyoH!IF3a?z=m%cB!^9~4Jd{6NFuS59Xf+2cx94*oX*j*hE zW{=V>^?MWhWj}46NFw@0SBzoVHx~~$i8yh3Sgc93uH0Hw*9(&2V7_Ni_5FBUxSm!; zQ+8B_9w4qFiYxL_79fFbzT28QH^|@Nb^AnY?AO0caBBrWs5p`X{)@g4ScGkD?VO#+ zw8_}m*#E<0Y;6C-Wnc<5eH?aH)_?vg2N{5k;~!12k+HJ@n7O$A$4W(n{RdU_WdHb0 zNLwElz`^~`nFWxs@%)1`9sn7DizEbN1bP~a0i1n`Uz1NhPi>EHFW{?$kW5|XuE<(C2!BwKx<=_Dj1px)U$ z9SV}Y9?dEN3KCdfXyXM1#m-SrY47$ga@J=!g8oIWdSVwZNGNvh`gGTy{~}Ma@E#;q z{hM1k3nXiDoHrD95)%{-c&>O7i=F5HUO$lSzttlpR4kBy|E;daUq*q%{LlXV|4RU} z|F>FhrIZvB_m7ASoT- z9MHq{(sh*anDME9`np(gKkjtyeeQkfy|v`Ccw589&$+K!(FC+poWRCwdpd%+E!&)su63Gqw&Wh_>l#VGR z1V={3Ku<;k4-EzFClm%kH-wY&1^gkl{4%}s#k^04Oj3lC8gCsDva$Y0?$YxTlW%_- zCK(wy`OqybQO-7!uu!EiGXyc(D9LW5-VDJ$G;5%yC^=pAr*tp5O^iq{_46}7AKw#5 zXi`!DuTL%s47&{}zVZc$OcJh-*yzjC20#dRAL+TBLqLSnH;y0cIk_LrG~xz=oD8C& z7v2)tK{!uzUB{XX4#LC5H#eA52o=TQIilhn*AMpU@el&~3Hl@R;_`SaEQcB7FTA+O zYR3I%5b?wawkGJiFoZ|hsu!I+7Agd2-{>|S&QYXq`kKrQZ5|$40`nsQ1*(MM_>0gn z%I5{DMU-!!qND)T{9m`2x9+)|X3fDt3HZY^BnM$~c+gTYlDJUC%Jraw>Qy_+z}f_?JOm?w@zJ zu}@b9hCV(>fesOW2t8qRG9d^M-8U38(XFRT}BD6Z7WZ`JOG!k80`9t#Fl%jEs*b zo)3yQ&>NXq33zD>sljE`lF8UlZ2bL1aY4Y3I6>(RQLy^-{+pFd}<@*3!A@~ z)h!DyTo?(@e0IQF6!~%P%jI_!oeD$F?qYcbF)RoXG9kUdECqD6Co3z3* z=XX~RDRg+8oy>;2LBSOm{&8Oxsl`l(sT2v;KDc08@>%s-X->AGKklT^F; z^C=-&(WO5corvqVXE;yRv6I9wpVVyR^(s(2PPh(wCgM6pAiM!AG&xkY6dN`0sHpp> zk_XHCyRuDxyk;F-z88|XU`n3e-%6F#h58FciI_YGs@Yu{DdTAT}xYq1B zZXi6#LP5lP_E*ypkK^_{D2@&Ns*C#Iygw=hUyl=lE>+UU54T zikgl5*bh479;bZ{?AQFmC`*;cHyK7awYG~NVfgXAl62TW$Z_g5I2O13w2|oTrTU!L zNEWl1D5{^V`p*HIitOLS#;i;`Jbzs$r>m6>)w6i_67hY92XNV``Mhw{bjCO|BM(}7 ztAItC^7>>`2U`!!2otu3PZIb&N6`Vc3{NtA6I~OMP3~$GEgakMsj+CayuixQClXM< z$7d!*y)r4tZYTXM|G`!K0e|U)E;;3OW;4Rh%$prSU;hIB3RKZ7R~@Bx^I)&{{l4-+ zr*8VfEg1V*)uWjw;_RCbr6)Er7@GAk!Nx`G>#)LgqXetE&%ZoDL-zn|vjD}ibajW{ zM3T>~sEfhmV#j&}c;2n&-knj2kkizGOP+g4f<>TM0RDLm=K0hmbzgkuVJm;EjqC#A zG?uFx1d1*p9EV(!eH`jjgVT|6Q`LGhnKpu7Tcyv8l-3NGw)Sz)`zmt}`}(KjyI;;k z;PNqN(BNLuI^ATg*6MX;yGgNzwr97YfFeKvOdx4QOK9zN|8e`(2&@Fv7}%H8iR=U!KdBYINyX7Ts&+ z*&b*r`jX>k*HV+RKI8UP1H+%HI}*JRh?Y+3pY=rhRtvVI%1}PND+h)+4QB6=#K*A> z`j60}4gGnLzYT#P4md%OmIZ+j1g?7 z36faX3lnZqvz@e89eqNzlu_udD#)YAsAQ)creHdGS!0+l>u6>>Fw*<77sm^2#vrt& zkYe*@@yq&ay}EaQGL+{!CHpVq6e>Yk!V_r0UPH}Mbxmya<@2n%Z0qjQ?oO{EbC6+y z{4@Po9>gx!Y^5r-ow=X-BEqaQu}BJZ^@F?yP@R-_uvs$>#-btW1S z|Blq6+_>z1)1&bkYbsRq*b+WnDhIKt4VxCv{pK7qHd8~Kbq+Jx%*yFl2#F>;@5Key z<621QlOR5MA$tjlUc}>GTT=XR8G^OG^C_9YVYwTY(<_t@d^qOxbT^~jDW+Y)7|RaF zWtnm%#QAjqMLJ$FPk11U+~bPO2N+7Cg73!zkTZD(zJ)-eR}$Vi>#8K^se^bY9^d?L z`xLC$bQOCenv#7oAD1NJxvfM79gvWRvZy@yJ6JMyjGJZf%IoJ^nCs$?^6on(jjCDQ&p&=QYkP%aacGa!m9t z#^&PQz|Jp+)0A=w_kfpR{|dC@mMfyY}3Je^s z>lXL`_(%Q0a-88e|KN82tBS`u0R{3MPP65cfn`7`LHvU=gX_gWC6%}##!F^X#JNjp z?_*_?C#)O5G-?<&Z72{U6toNt4Ly-~Y8!%}r6DT(v$*d^Gr;pM8y)oba=o)leNFJ_ zL}@9l>YhU|3lMSTJ}s1AuS+)2zc7vYmw9(sU5`rft%fF96Kh^g-WAoTDRl=ogh`9$ zxELFHy%AWNOXP#=ee{Y33NtVMG=RRER%9dZxE!)jU!*kr7)iQAb*WED6Cjd*e7z)n zf~hFEsWSzb`H!S>6M#C16Yr6G=t`U4A32E;(mm^l!_=Hh<%1Z9uL41^-Q6T12>du`#`AAbL}NlA5e1&smH8QdlwCVyr7fJO|#CJ8yXyx?Os|9xCN1P91~DWG((l z>Cy(7JVRJLP7>;%zje;?D->$dT8-+PSg6DDl0UkFO?Y?^|ORzsEgX9}#iwZ+c}(@u?9BzaOq)W{CdzPZyVuW*zI~ zt=^I7u!Zh%%T9wVeL~_gS7m<06Qr$T!*ov$`!>D=s|mIh_tF)~346cc32vcNID`>T ziNE~3ztYtR?FH}CE59zSvuj)8f6IJL5HZfMwt+QKEeHcu9jHcm5Va5=cF3pZmEt=# zakRrP@cc!4DRw}!*l*1Sw^X9DDAcZiFg^zag0ACdzyaf$glN zO5Zh@yK+D0M0E?xI7Bn&;Ey+}I+`ZRqKB5oKaLv<)F+NBZI;z~hT#FsLoztn+JQ7<%JQ70sl#4&#O zTkGvtFJI_CkMTrn!UN!|aLm9_~v*lS`AT-Fl8^98bC~WhhVNas%=v zOhdzD5+56;Wr}ACia=|t^=%Kq>G0&`R*xNoEr=9HfN$2#InoXV%a~m^ZP&Q+W8mBu3ZpO2}TD;7(PzS0UWRZur z{8`r8KQb$%elAI_(LXym`ju}9I*~_752bZ~ zVM4~#J7jVw0fbKSC6`TJyh8Cz&{+iB9twZyhGNeff=cney7h-!J!WYY2ou za2dmi*@o&v&O<%#u#e>rl%ZEy<1`F95xk7<^4S$;JIf8H(rncQugW`7R0&P}xT|u? z^l7Du^Wm2;R3| zk5g>yVv3j`M8t;!Vvh0pxLQ{}Pht_k%KnuuefbTzXE9$TdSA!TI%B=2ZbYIst%nxX z`l#Qj;CXu)MXKl1@$O&(;iuV3`>m0}nxyZ*#|OWfuN|ToGIO!ZIC}GB$||G z_W%|dm2RIc-cd&TxIzI$Nl8vdEtnbQNut36$W7Kc1wI~>CnIe*{B^QJ2PGa0S=ue8 zCkHI@-u4Lp=$CXq^9=I-_KE==Pq**gf?aiZG(b39(v(Ebf&J?6fXow~gC^7)Fvy@) zzJF%&JB+Rfn9|zeO7Vwop$|g*4m{AF|ALOJzLZ+4LRUQsH(@DBah8exG^`WyN7_Ys zxcbpw>bwqHu#rzUs4W6V5TunSeay(twb%6$o#JDR2#bR>Qc*fErru0*eGV_6FV?{n zKYoy-p6vZ)CFM6C@X=ML?8Un5bM4eX&}^CUuaZT>&=68E!HrzxPIzbrNl} zj9AmPapB>&@?bY;@G*6XSBa#{YE)V?mwG*vah5;c03v&u2G1cXEGUZ*k-x-sqJ&g% zMO#3r&!nowRr($~yv=`pPmqJGfhrBy5JoFgRq$e8DYb&bf zvsqjV0ih9?{ z<51epqDQ*8MMCay?38V{@MoF+{AhRyc5+15+8T7*MTu=}5w{$C^#e3gMyvMYD&Gg) zh14dLAu+6UrPETX{YjEh$}yLYve(1$C0CChKVB&` ztfrVFRl(5v1&TB9gTSM9enD@(u(KaR)rOhZD{Ml*DxJ4XlEYNZL zch6CX>InC)xt3wsF37Kxm9Nmlphh3j^&`YgZJcxkk9!>{HamLD{9qkZ6m%}5L`TW2 zgMFX``Kn`JIh9H(0Hni*g z-dV%V%zeYW0aGhIQwlbQ*Vq)#el?dIB@;X^i?dZb;GXB1SrQzDGhwBd=RAJ-vM5&r^_!#_Fr66 zq2ceO*Rq)O+Nr7)Z;obuMKRFidU9)2u*BKWMX}jL{1)##n0rQ8^EjJU-mRDz&)Gf! zdMCIU>t1`T$+Pe?$T;h*MHkH5YfGv1kk5tfSXk6o05$I31y78;;-x^|{HUU35LBDR zUIf@>@alk-4S87Y@%ew6ZfZIHN*&{ui{%<`zgwW%?ci7A8qOW0eB6^FaN$Z)PC7)w zlUb>!8}DFVm-T7RzB(L!D_ULhsjCtL=|mPGQ7$4QXURI^2-*>Pl6<>m@VKysjoUVX%6=@^t6L_)WJ znEt*9Hw;dkx*2;y9<)#-%k;fMrAHmn6j%`Us-BJRT@b{Z4ZFx|=pXoD=~tQ!>htc7 zv}rtLvuAGc(WO?El|U~zJ}|=mN6fhLcwU3EXYP7|-^RICY}fC2lC7{lT3N@tPVdPPKtH!y!^#YU(XTZ%shZ*=ruQlxu`OL3<$eg!^1wC@Eio@8lc+4tcvWoqAC{JS>{TF`gr$<=_J zqyZxm*)^~$CCQ%Wjk4OI^#k4-sff>@$|QUkaA0jjs&S=}R*sil(mIV0#uE_0a6PzV z6N7B)&*ar|_wPF4 zh;c-_4zZZ2JC7-(Zx1R#wTm=^@B&p_edJ>s_Yb6Gl>MV^g$rE;@YsYbWh#3fkyC>LSmsn}7N6*Da9#`buV8{JtxYGcB}Z>yih_? zw67R&3nN(=(vpTffavbsxX1Gi>dK$^^ft36e%D3%2Ee~(9F({q;|d0sX+s7(i^s=i z++Qpmh7`hI#Otx`Y&H$RWgU_oF9VyhAC3ss)dg2?L9U3|L^VFqZbrX{rltQf5B+3Q z4^@;PHwgo_guN!*OAOtaG5wR`(kyf{P)R|0QbT+A? z5h)$~ZHl@}&r6lBiM**H-_fr74Y z_mLp&p`WyvZ6i!2KQzs@f&izr-zch_qg(8ty1A4@H zUI=qZNt58lkG>BZQ&wKD?Xjoo^**C}%N}sL?PtM$P27A^Yvi7A>MNbJD_#DcXj9`W zCQ_@FyYej{+nTD^Y7wu8jHXIu5G$|*&le7y}jkV=Y^ z?PS#~!9cOu@53d`vh82q@Z=|X{!}XxaaG|au<)aNi{CNZSk#Lrmhb}nL?A7pb9@!v zS*5w%TJ#>TI>g}hdzpm$*W1AhoTjg75?QVv5nPP~O^sB!zmBK_8dKE~O-5E&v40h4 z(ZEcYQR1h_?nP5rrCBEmc$3qp^<+y!mY;6Nh>qwN^RRY?dLH?Fuen%DzlX`rYrR!*sm{4#8-W-T#;8cI0aJ=T&kv4R7%Ai=u>^}!#MGJfM-I60p2EF zw$FX;^dhpw!!_AC5qrNJ#%E^{h(2|qeyuO_J1+9Yb^TMrtppF&FX3@VDMj<#RR>Z_ z?8AGDecfTyP7H_NSyf+MlA|Wu1`eVZ`1D=S9TIsHNXM;ezan>Oqan%xPDD|&d5ynP zT7F~oL?)wgKS}=L{a%=?9Y#@8%q%=7!_{(3)y`$^5d;y{N4D=BBf?d-Umx|N?EAd# z3Gj`tVAsPgS?($s4pW>pp40ZuPN1$I)8k2o7lpfoNkWVyXKMy8daK1MwGqZ@DBN;5 zsx~qa_>!AqM_Igy(#?MQz^OiearHzG$Tv66XTh4=*=GbY}`{jn(y&(=&L!1$@^9PzVP0 zyFnVHxvdNOTr5AA6n-%hEBXaTnNfe3*_@OQ-#A}{C||#+WvYU|eJA<@pH0ZI)ozk^k0rjt8?n@^N8oO?_+jRv@*3sycscp)`0vMu%u*lqDk<1g90iBj@RwORi60r& zNluz^>4e$U$73oR$6~rX8t>fS^Gtcx%dA@CMRbEBGsUALEVld9wYCNXH?;52)o*@T zr1?#g3<54~SF+ijmJ3yfqYlwDJsC%^}XJ{VonFQLD*Ma^5VtJyS@&j|G&(FzPqm zNnJowOd&~Qn|CbWDOx^+e;6fH{51+q$tKm(be(UA;2t)KpwU((Y}0yHUr`lVC#4!P zVwd`KPyTRz!I962X^h@NS%E~qLRTAKeXiL{_HttiUz=?v!~!j{F|fKT+NmPfUSeW( zjQMA$D`F34sL%7f%J(ZipYCMD*mSOD=1!DMzs;N{Ca$c%UaZ0fe6epI8o|n^PTeav z!m;^`1IK2)bjsS!naQ5ByxTV4O#Tj@_d+aeuR{En6o+KMz%m%E7lUkzlhOs$DqD zD=PAZ8Z9XGs(rL-XYndi9{T^Ox14 z{jGfEuxJv}K})!M^_QSWYqmZcec)5tk>yQ1Eq-U9S zFXd<7Cr~x);!q#qRX$d=BwA91d+Z!LNo#w#x?~z?4l!jX73_Y*SEH~yby;=sa|AaC zJQ)z6m&)q^@W92TQ$Hq%7)>_`PoEqc-D6C0GH`mII^>-j8dq;TvakQvEiIwyWoed+ zYMlGj%GHFGx!Jd`Z>UW&zc>q*Z*rl;9OQq^|0;3tCGuNp9dT#~({}wg5@8(tw%L8< zt~^fe$?JL@7BHth=dVw%CMQ?Qnt8A1?nUFSnU1`d#R{2%^9;%!%4r_9>Ef@D5bKyp zXM0mll(iIZnO_9kJ>l;W*V!wkZ4LMp97w&$GipC@=o|c-OkruR-Z1cmsHxHtY;&== zexhod1F`3A$E-0V&!3Uu@(Em-H2e6<-Y%-vAqjJ(KU;(xU$;iz{s6NdOd&(KqyLMI z(W*GJ+OA;(-WB3I6+RaHJ>rdWjM0M8aEhB@vIZr9w-kVb+lT1VH9!@l!IoC59BdlyXfZzlbn+{>0OyXwAY=f#Gv7lMmrXD2gMjm43G&D;$pv8<CZGmWqaw7d&uviboa@5^V8(S_*?0=eyjmo*3#rY*~Zoy zpYpZ%_9UDB!lfs_=d=+rv?@F^@Yw^79#uRSjo=BdwYfH=ip0}aC%NkYgv~#a5MeM{0PU(v11ejzxjch9~{hL*QU2lJyuDWrvI_- zq+mhR!pNcW^h`!8v+kTb^%h5x#%cEU52-6<_>$xj^4aHXQb+O>{_@=Jok&|*Nc$?>3Lv!?G%W)~g0&|ArprSPv!qLAQz#C8Q`!X2K9^HKNtCJ*o zKfF9{ce|8b;D#@^m^}YE^8ckL#y)8J&}qrdMvvGgWki^7)6fvb9h{6ui}D_9NB)Qk z4-QBv;4Q)*+a<~0wMTRhQgPLTIv=L2k0cD+eNG_XG+6gaeC8!f;c_&Jauu&^vSLQ* z1T`j(QDRNb-b1Ypcr^JcQ}kve+VoOE6M6rgsD$NGhd}6cT>DQN>uq zxu?iIoxn14p3VB61ol31e)h-rtKN9|U*aok(ys+YHTBE{xD%Y&jybpY@FE_ud8aFU znnJ;9t85gWvM$MV&{%xa*MrlaI`lzu=)=Q4}`p{`WGbbp1iQqYsps# zI6Z1OfdPlXTU#>&4kHdz4jU_DQv(D81L`v((BB}y|AFy=pnsv-Y8)9*HJ`-5rf?A{ zUI6S{h#lfm47HXB1pNbJ_ZK4XQO&eCYK`3gK=Nvu;!&eei9mmV^1y$C@|eM}{{_y0 zIbr`s%l!j52L^Nh^~6bdC58&oCK5PDKR3eZ_+^NWig1KY0;eBE7>5%FmvDq?1o>w! z7-TQR5NC~!ZvK!#;3&o8TixmJ?-$Kr%YpuiWw+BGyA^uG_pDw}^ORORUdiLeY5Owx zAQt7B+4{i)ly^ceb!in)k^@9(-rM?L8F!fg{afeKzj21ZF`mI&>1aFrWC{FTgGX%x zQO9PfP_K|!9|A0IMJ(Efv?%EBe=`k{v7;)Wy9u?S;Of3h;>KAD9LQMswS*fqJxz!F z32;ykr2&ljPET7q_R@t{=o=OwNYhUr1@~b)-qMk62DpbH{pVZU0NTdip}smJcs{mK z3(JQ`M=KaSb^E;VFIL$+wWz5I{!~IFOZR*{gj(O};i7?F%6$;zTkbSLU7vY5cT>5= zGegV&()RvB+rs^-z}8u6u2}>9`;>dOFd=zWs`OQW&ox=$jVTIrp=1i>%G0g&Q<1|&aW~s5Ihie7R3P!ED4`hJR}1xQF{92YL`P$R@$tOWzYqPTcg*~1@!?ib znaAO^TLm7cseHn&Uh6$po4SpL|1kj?i3(+d5Xy3mD z%{3NopLq{&!95y;y!p=Ii8Q=>r%raxsFVC4)cv4oA!_eZuQ?&=hbVv@y#3Sbn&lP( zh@c<}PL&u+A#Jq+>51Ske3RgTw6n#7MFoy`%zH0Au22?A2IqhGQ?Fn+2l5~xZ8w+R z=VM`xIOC7&ZhoEFq%}5HkhCJi74Emv)Ar*(Bzc4u497-8z4<+mf$Mvtim{ibqM8uS zEp#>bh9>7I&G*GkJ^ZA_*$-`RUOVXCDBt`>zX@Ia zowNU&Z9T6cbJ+%ZY4iJcH?F-eulw)Ed+8c39ey|96q;(3la^0n9|T=qqX7cz`L0XU z9;3QXqVd2Jik9aM{p()@xW8%TjF37yitm?~KPFo->9FoUK=VAOc};+`e^F$B zLc`Hdw*LX(YBortzl_s;X{DzK>BWQ z)8?qaUSO|f0S$jePvK#!=_SXR?b9Q@J)gdPnx5Z67?&iT>Gn4yNJw4VZwwkKktc83D<;i#pDCoNqkDRW70y9lXs9FR+r1Mu;Cs7j*noXsb;H2{UM)eavJ(7_D@7LZ z?cNIbv7*I$?c7+c80nX1H&uFFz+BH!H_y$PYNA(*H2K_zXpc4Y7{V0;Qqw`K8 zyB}vSnlzt~RR8ua)GsUP%@>*-4;xgHyv z3S3@frf{~lDmwjCGa>`Gy&krt_2Ro5t^i-cFQenGl*M{yBWB#AQh`NV&6UP`udjkL z*k(Q@s~@bA2v11UOJ~UzEuFzy+`NV`m-4U9H6XHRV5%$AXz zZd0TG3KVmG#cU_Y|LF*Fp6(T4COY#>#EsQU@6>pBm4yoaA=QAb9Demdr1x^weu$aW z?ECL2D6P;4mZ4bdp+1P?m^X}d?6oU=kI}+*bB~VjWSoWE!fsW+p)~=qjF~%18SU%- zh{*NR!VWf3l|Yt;y%Vq6xAjA7;>{skNqNYPXHB}YgRE#|##(}Q`&-@B8?hJaxrpAy zQ>bL5S5CS2!P>eglV!@VgFl;uw^_*fj$OeEW0D?*-jcp7}U2HP)awW?*GtJdaZu&8$?%VGa`-Olf&GGDz3TNccV~Ay_e?pl;rPhq0 zX88Mk5~`$xxZJaDM<=epMB|th-58Co54#g%>_gE}rnN7~&>PG%LYugFHwq&w{1q-_ zFLHTCc7E6@it=t8RYV1c7J4bdA9p@O53wp^Hp!IX9HBr9jS$!5EUmFz=*b*%d>)S)uiE!**vRA%+5i_4LB!*V=&T0nizG;u59gbo$uwO z9t%xcUgvRLc98lIargw2ak@u0M!(|u`Q|;6uJ=dKwTP_V+|JPH0$nA8dr?7{c)1U< z6z3rCB97T_u27$f6WojB7@ z>j*nyZH+YZ=5T<&c&U8*5zB{5W7etqhz7#`E8>=C^5M^1%fWeP?;&KDCdFBP>X;@2 zF|qc;bdQ@?GKfEc=G-2?$6It!RrVpR(7GpUlvbBEau#mK-uxbp^^!3!3@~g{C$gm6 zI5PI-+NiHpGe9m{r~=$dxd3(8=9ApuWx?~dNAJVaP0t@t4N@G zekqy7|5L+TGu$4Y&~l-}Pcoud?mwaPX#VqR_OF5xWjAFzEh7md8h_1Ya+a~uec=_m zO!1&ZmQ+6z3)P;|6+*PPK9Qhhf7>d50x9iC7r;Nm>J;_pgYgt`J%1*B;uTd74`?+PrSmA~u{x3 zjUM~KDyX=s=+&EcSA848FD{l3%_L1^WILn$BB~2%a%hdsRnhtKUbpK+6f-8$e7-g*rn4u&$OH7|jirvo6l2$FF{WA$z z&EqX4T>bvQaPuMjq%l3P0E?f+%DU+-DH|7D0!M|5OvDy{J~~>#UgZ^s0v##}+eKi0 z9=`#pA{JOhM)xej!Gn`w!1D0~qx5{{(IZjCOWpbxH0?6^?#-n(KagNs{B}28cG;86 z^dTSfs%hn%?rfW)eQ(yfU1!|k*uwt4IV}ON z{9V!^se8$bA`guRtPN#J>Uvb@aL}OK1x(c;J&tAkn}m9X?B_kte-?=ANC@dE(GWnM(QqfS+J87q`EfRtWrT_9Ak1h>}|qE*lrv zjlD*_{ll;&P~mmWO+sYt_>(T2>uMR!J=a?Ea;9MuiHBh?(D_LaYy8_Xa19HB`rp$U zC~#r>yiCdmj2RIo_e+9M0@!Dz>0egOP&RB8_QjGFer_@4l6DQ?n=+lBFDFmIIUZfQ z&S%&$&kh>dfzU>7#FRpkd1iZt;IYj59{vX=CxI$iVYW^N{n(@AsdDqq81=N_| z6<3>5(}~Hgmn6DC3dnO|ga^FLFUlL9R3tPf(>?Q9LhIvlr_D?hv_DiH*@63)>Ou+#5=-cgS(U(DzMU_0d2TG==8yC= z1Eavs4}TED4@egIcSXwXSqRLYXyAM~2~QfSs2iznj!9pjd?k07d!uqB!&N&yHe*-h z!%qqg;!w^@xzL@aY5FGTegq%$>#}_)M05UY{Q(Ev+Jow!0VIBQrcc`x-5AO$qX;Uz zXF8S&6Q*>~&b~ry6@9DLgg$;lloC_FtGCU<+n+#9GbfTF!3{9Cw@r^P=F5t`5_6ZX zgHz^CVs6xT>0U;XTYF@dyey&F`li+p3aMY(cDX8bvG2eO?IY?pROg3h5Ct&>cxJv2 zc(YBYS$`S|9DBg63|7yK(;*`@nl%gOciU)D5F3&@LSv;O1j`(op~FGP*pWY~uc@B$ zmS?twSBURhsZf(BqGjTRMyd!pB%%_QHyAxgObRZxpYD`cUNWl<8a*&U)=YIqg)bU5x?-T=E^dBGPUA7$S~VPH$8u*@*|>)AItO7v2G9Mz8rW!D*sd!25s zH_Un30(pQ|@U@|)+#?4czZ75+I}XFb%bnlo1YAqF5H;TW*bw>&o&@w6Gy)rs8a7Ae z=uM9u*|6(05vmt^jXwAoKoTsM9#l3&6zwW18;12bRE#G0df5IUp*o3x_OoAm_F_xL zEaJnX0cA@e*LFpe(@u{k#HC-%kqitD?`^py|*PhQMLgOeer3RHT)|N`tG5K2?Z=Bb>nz72= z4xg8@YRM^xZ9IukLvYGd)3{-Hu{^__bDwRM-^vOr7Scrnf5IxvC~&YEETqY#by!i3MRcgT+Gp&XVFlMr2#vLwjKyfPy=SXw zER%E{Ddv({ocD&Nh4p&43s+b*Je-{3TU^G&C|$08#jTR@!?kGhsrq(9YW~#m6fJUe zy(Ri$IpuRd+y~OOpBA~21KKPOAfL`-dFIWWq!l$aViG*P=pb=T^G6v8y(^lW@04f*Vo2SdiZ8LcBsU8fOjEPU+` zpa&nqSh%q+@$Gweqk{(}my!}4USzUF=wWCwctsvM-)@ZQhq6a<#!&5SW9b2btSX< z{Y|TW^`)wZFH!fcv?z!oARq1V61FfpMrce9UwuznzlJ9p)3bJIZ9;d3=Tpg}%Dvf^ zg-q)&&Ui{8+$JYXYN$MiLFhhKpGCX0&M9f|D}|-WxdZ0txGjr6wx)+9oO}>-{H8{) zCOfW0KGs_Ot@Nw!AV*i=E@ukn28rCV+{bC$vUz)wtz_raH$(#izOV46?k(6I?yhMH zNZG9(?mU6BCOxg20!X`8@vO-U#;vvU}9-Wrgt$#)Pm!Y?`l<~Z-dHbWv}giOApUn?-=s>?`-_>z_9{wtxa0+ zTTAUr+?C_0W`3+jPdr-=XpsZIfy+)xLw5pRd3GP%R^`d$sf@Mxb|UT~b{Li|585D< zlrOrAg}h-jhIsAya^Gfa+}GpcD?hDmKPGNm9?RFFaeKZF2W1>JON~Ee$V_ej z9EJD{*Olcp(lMSp?iTQs>9*hPI2pW3N3bM$B^`EtiW=PPJnxcg3fdf5J;976rW^xM zEg3J3QW|yEZ#0dj;R((vJ=o4l=4KOqbSPA2Q)M}&H(g<-7F2}?|M0ZcS_xt=qllmM z;bm_R*8E%E`sZ~*T2h{0rym*r^p5D57G(;egm=l1KBD9su%}|OzJ5i4P)z)2N9Lm6 zbhUYcL~mKqTz|Qw9*LEF#gL`|N=j%1v3IQu2yMO|IiFBl4cvOJNGAF7Fjltgs_)PZ z@myDNYY>aq<#?<6DT@GY1LNLN-Fm0K%F#2>*v|$jeay`Fp&l;_f&GrTo?b+o3SVZ7 z8{t*c$0lwyb+3;TS#4O!T2OpT?@n48Z*jCuQkdc^rD7uqle^pwA z(2_Da#IA|{eouPhEm5+3mz_ND;n8E){}PoX(r zouS9t4e^f_Mm#ZYx@vcPj#SX4H~4#xJ|N)f3(K(~IVPn~z}sTGYVLg4= z^|Aw)GTj2E(u#CqWF;L80-KfyH}_Jb*yy#y2170x1P|wqc)TosZaEZ6X;Ocs$ViCo z`5w}37=qK8&F^h9=!6Sic%rUv^5k;zEB2tpeN|l#)nBN54@ww!JF%#jytt|vJNIqj zLLxigL=E}F;9v2CP!1E-->t6|-s5U3PJu`wsw@Z+ z!m!uaq}X6YsLooCkk`DABxL_%#J+SXJc9WxW2gG87)d`BMs0`PHZ$As#8ERIU6RW1 zQ>7)mjSI5~#Yf;xL!e&02or`M2b;X6<3pD*3Z9&C#iuN*9U>=wiQ(RZicbFPK{byV zdSz&r^_pY&Y^-%y?u`H)j2YvMqx%d%0^2(&o$P!iaFQ>3brD{VAGip*e{ormgNHS! zmwz1SsnO25PI(7;vRLi3K>L;174dP^PMTJ3%3BSEN>8-V$4HWeew2w&I%@8jjnIS8 zp+5A+S5%FlE7o&GY_<}j&1s^G{hzhksmWQ&!#mf8IxpLq>@^kN@GE}0cTJaj1eC@x zr7c;hDizs@)6vq&ngJh*B+Qcsg9nq9^f^rfDIoF2HBWtqM4T<{ixGdqK8ZvX=Vb=J1@KUu-LatGGAp;H2{UaW43j7fNr z(|6^ISOhA3&YG#4glP=+D)26l?qlsud~nMyc$?L7Y?d*=J2NFP-l8VVLU4bd0y z-0v#&zTZ9-wEl>CeC-!D!u7+nfpNco>hmQa)S2JCDeX~om;6<@yHr@mcX$MLGa2U$ z@>kW96X~B?P6qC6g_UPn{^9`p(a9x~)J_3-JtbxJ!ne*hxtJ;AQg88k=iD}9>#Whc zpOBow=P--vMluec;Sn&tFn~Um@7uGCtJAt_Ud+i=I$d*L7P0FHU4AF`QBqkXVS1hc zg{K+jip#f?yN)Z9*r?VXYXjfHqS4!;PAbIhogJ45&M_$*lP_vi$rK(d`Ox+5rl_<2 zz<6V2w-lkR?pG?(Cd!St!U+0=^$na^v8Nn(m3?U)RWWeCbwi@S#9;ul%DcyieEi(% z_rX`>*Tc6~*B`!oiI?kdTvNP}ptt)pFrvTMR};6>f65S|U!};_d>jtH?7|?N^|T&ls}I@|qs%7npajyZ5DAye@M<#SJceJ#fedyUlwDYl`0GAy*Q!!Gt($rc zOuL1>b$cqZ=y6UwZ(X;6oG39E{k*xbOjwFcAmP5I_)5Fn%JX*V<7y{`fX?uULR z8ky_*4l$X+>D*ajyd-h&n*H7pS_+w$I1!d9$-X*^E*647*vcHr2 z!pm!u3C#2&x}#PSXWig+mPFs-SMg^;ZbKWi7fY5Cerpmw6QSJ0Ac_9a0}k z_XH<;ZQ^CA?1eM@a;~%%%P@|&q+qo6%wt@NEmYMRL}HaZpB2u=)}c)_Pe*+wLuYAu<29(gq}>xOGH&6ZhmKiv+6i=vawzRK5m4bzE_p)7jN7&%?)on2deIY(lQ zKS?%VW1KunqubXkPgE`P7czH2{i>gb5$FC>!twXdzXZ4IwYvhmKRPND+C( zCowPzV(@0$gK)FMfHT2#xgZt+ZURFBM#kpI=Q$s=H!>wPRb;%q+nu-%UfwVqVp?Y= zO`VV%b;taGmqEeC!<&)3a#W7@zMZbV09}X<&vzT)=5>BKj2xH=2I&`nDquLjWur94fo zQ%}sQx{=H zYd3i7TzAAz88o~3+NYBI%P;Jh;QNE4PRGaM($MVPl6js~`OJmV+TmX&AH~qi;{@cH`=bKx zzGm41{~4R3G-_a{!k;MMXJSy&MQAoD-~G+$yZRfyi+wW|aCMm$S3o45muC}7Kzq~a z)waLfHw5RqfUC3C*8?eRuJOL&yPuQSpT^@HvvH{wlu9TE0?R*8=_Y;ZT zS}T0?>Lj<8?;S9<^WyvEXUPPbk>N(WuJ``t+VDCOPTpk5?#D$+-KPZ35sjH*v_(9HpPCzz`9Pg_z+s*K z%=04d2fru+dD7R_VpDV;WXUPd;Ot3*)Og%X*VKfa&r^)EIvsttQrq6B(x1H#j>`^& z=hfinUDjmZOE;R=RBSOidC^5!5`A-C`M3wK(`5}t-KewOlyS4mHO-@_!3$OzDxSOM z{m?nCju6>11dntv)r4P!k=e(eDjl6+Mhbjv%ydm|urN+{DdpqcXsJ*M^qymR_|)^r z75e0&b{e6!(V!vnc9qXWvEJs%j!YRxheIFyDEdT(FEEj1cC@F@_NdgKm=m_ulK{wR z&m*=Drznhlxqdc(YVAuB@8Td?rHSfjFqC+^hgu=dX0d zOHpJ73u4!c8(s#xpI!Te@f%(*Wu_a@t(+%tt`I&Fxp8SMgm%IdGcBKm_eM4Mj0?j_ zQ#>ZL7`j<$4(u+kTBd%xnty+umlW%u`{jahM=DB7p6C5}ufWSyzS-6ffu@&XHlnHG z$(G4q1=Cav!l+H-G_WSGvUI;`|5_6-015_uS)>c`?NzNxD9wPh%{|81UZ0`sW)HviI*4 zT4$DCioMFHkrWNr+AZhdDVc9JG{HB$Y%(LJvg9memC%;)r566W1OhUQ!95fc z*UP<$4HM`VFLKs#b+HZt6tAnaofkjjy)^92H(o_Wvw6nUS8-p)b-V^IUb(#&v0>IN zK)>9yS~!?*pIR~Hfi+u*zt6k4WAI&x(H}!AQ6V6Q`99MFhQVyxO5N>5j$^Asj?Dee zq{7sW&>wLv9u&J;Wc-m-&E(FSoABl0j)`H+#|+r%5!|tx519wp%h-tWtvKq!7o~O? zOLE?bqMVW~RQ>2(EFehk_t~*k6^{F)=|oOQf@{t&oho#KEx)=tlB`2IC)}Lv0 z+VAv$X(M!lkcXmP3ZJ6qH!8*tt-}8Uh6esG*BXwLn&N925f))tB_J2#lQa@YhT4Ma zhloZ8kP(6Z;9vv)&B0dF+kzVMQ=xCV_KU`+Ktpf*ITG+>Ab{0F8D@;9cf zCQJs<$NE1^a|mBIK==KBdx=ungM@XPJ;`@=1?;?ax_D-2XccD_}&0m z4YHFW+P%M59q}#(K!$W9DF*2!c^J}zGatayn(LTb=RpWt1X64l3?M>G`yK6IMC?Z*g~yoyPc&o?WJfAQWG(;?6^Q7H0X#vp<^os%P%vUU7a$VzTMZ`$M+6&@ z@)>|d2gK%3Ft9hac0@8@|BD|{+S~|92MGlJ6)GLX9MYlx^nZ$U|L=D2U(HBf#J^}H zZ#lgG1IdI!YQBC3OrZgw5JXNP01SXa5p#urE`&uI02dKoj10<`A^;ZxuNVNi2VtfK za`GU6Na;N!l_U_ziI6S^uoFO;|EZG)5n2qO#em&*L2woWh$wh&-~N@Cw9ib;O`YtG z*@5i9TOk+XtQf$6L;K9uz|@$Xo0*mec&n6x5_wb*^M9oO&=2E8$d>>}5iTVFc0_dv zfDn}yfn5qG`F!v&d1G+X#5NyM=X>A9wT0r0yJVC zk`W;;N&&P8P#J)X^e>B^IXJ!fpCRmA%sPm{LI53Ny%d0tU?~GIpmHM=$^cJZ+;T47 z@=)^g|2xjevx{zX9l1QPfBpNn%Rty)dw>@BFIG$-j0;gx2H-=yFGd3EMT{Mg76V~_ zaX2DgmH@~Ql;r?o`hTynyp!Wwb8BN{7bM5}U#ysN23EHpVIYKRIluq_gCJ_l0m08X zxwyfcoFEoXAQLAi6Eil4tc{U~fuk|)GZ9`cPA)D^AoA~DT@V%(0Am0QiWsf{P_S}= zZcEJVi`JSJ`>!`#T%cQD?#g(e2+~Rb44oSY;zFoY0%Xv+Ik~wJS-0=Fc#vi3s1m?S zj6BWhA0vTKE*K1q5UE18L69l7|M2jN%)NMS{i)ZcA|Kp;HGRsZJ*APoV z$f^SbvvNcKPzV7*x$i6w5Q@w`7(%@sz@WkfgCG;`pL5)Df8LQnIiYtW!-?FbpgS%h zWguid8mb38h2JLWKlSoJkS75ALx$`R<-F4mDTBf8tS%=IgmmNXSP+B@xq1F~4o)B# z2>N>kCH|YC$TP$41`V0tz}t)8KL>-LxAd}iWC&mbfC$cWdx`l+3l|skcCY?JhTLad ze`w|5yk+3M(~pbiPt&>o*hfGZ`0r4_|7XJiVgE-QVNm303U?=g{b>x02YffST)}|CktQ-=79@bN&$pE^f}-yQ+U0!;Q?lKV|>w2mh~kT-@BZHT$1~ zLCBAP$UuLrJ2HNEO9&?y7zDYSGhE2SFa8mQ+xT-qpnoI{7ZikKF}`CAjPp;0Feva3 z19>=+Y|eMa@_=snly6`ESxyiT0)pSQ5Cr7;BV1r)6#ii~QVaP1*n1Ez5ajM85H2Xs z-CY9Zg8cjX0RN9QP%fT7Jb@vz;cgU=hX>xR7(h-gWF7gZcSsq8^UiW2?=-mX6l*xL zDsh3i?+)fdR^vMpBMS@U&we~Scb5c+%*#I}25}-!I=N#Yh!YCtgx?h+xAtADK``(i zlR%IwaMwTxCpYqBlz*%-5SeeBceXJQf{enymkIu_t3A>;WEr?S7#V~=27_RK7zhEw zpm*{J2!Z?`7a(LAzB30Lh`hSra&_On{+$cRx&`C>w}t;U5X#B(kIIGYkIW9>-7Ced z?2n~`awCt0xibe8d4Y$~{#F0}J28|SdF}qABMf}kKqv?q>%09x$c_AmjQfvdg@Qo; z-4Qr{-)sS)ATT!&L0gUd!ZgwjAcVt^H||O{Hptuj+oihYeV4R0u|a-9TKCr{5n3&N zZXow7s4!Fv1m=XmM8!Z5m@x3Ah^Q!7gcFK9Z3iSk`~UBvgJgrpc5pPXcXYKkHo-<3 Rf~17UzQ@QYDldlp{{UN2sTu$P diff --git a/Fisica/fisica.tex b/Fisica/fisica.tex index a323ef3..d49fa1b 100644 --- a/Fisica/fisica.tex +++ b/Fisica/fisica.tex @@ -114,6 +114,18 @@ normale al terreno). Riprendendo le precedenti considerazioni, si può dunque scrivere l'equazione del moto in forma vettoriale: +\begin{equation} + \begin{pmatrix} + x \\ + y + \end{pmatrix} = \begin{pmatrix} + x_0 \\ + y_0 + \end{pmatrix} + \vec{v_0} t + \frac12 \vec{a} t^2 +\end{equation} + +O nel casso del moto parabolico sulla Terra: + \begin{equation} \begin{pmatrix} x \\ @@ -163,9 +175,9 @@ mediante l'impiego di grandezze esclusivamente angolari. Si definiscano dunque le seguenti grandezze: \begin{itemize} - \item $\theta$ in funzione del tempo - \item $\displaystyle \omega=\dot{\theta}=\frac{d\theta}{dt}$ - \item $\displaystyle \alpha=\ddot{\theta}=\frac{d\omega}{dt}=\frac{d^2\theta}{dt^2}$ + \item L'angolo $\theta$ in funzione del tempo + \item La velocità angolare $\displaystyle \omega=\dot{\theta}=\frac{d\theta}{dt}$ + \item L'accelerazione angolare $\displaystyle \alpha=\ddot{\theta}=\frac{d\omega}{dt}=\frac{d^2\theta}{dt^2}$ \end{itemize} Innanzitutto, è possibile coniugare il mondo angolare con quello @@ -188,6 +200,14 @@ le analoghe seguenti: \end{dcases} \end{equation} +Nel caso del moto circolare uniforme ($\alpha=0$) è utile definire +altre due quantità: + +\begin{itemize} + \item Il periodo $T=\dfrac{2\pi}{\omega}$ + \item La frequenza $f=\dfrac{1}{T}=\dfrac{\omega}{2\pi}$ +\end{itemize} + \subsection{L'accelerazione centripeta} Oltre all'accelerazione tangenziale, direttamente proporzionale a @@ -217,11 +237,13 @@ Inoltre, vale la seguente relazione: Nel caso del moto circolare uniforme, l'unica accelerazione agente sul corpo è quindi quella centripeta. +\newpage + \subsection{Il moto circolare visualizzato vettorialmente} \vskip 0.1in -\begin{wrapfigure}{l}{0.45\textwidth} +\begin{wrapfigure}[12]{l}{0.5\textwidth} \begin{tikzpicture} \coordinate (a) at (2.236, 0); \coordinate (b) at (0.89, 0.92); @@ -237,6 +259,7 @@ accelerazione agente sul corpo è quindi quella centripeta. \draw pic["$d\theta$", draw=black, angle eccentricity=1.5, angle radius=0.5cm] {angle=a--o--b}; \end{tikzpicture} + \caption{Il moto circolare nel piano $O_{xy}$} \label{fig:moto_circolare} \end{wrapfigure} @@ -250,7 +273,7 @@ possiamo concludere che $\vec{\omega}=\frac{\vec{d\theta}}{dt}$ è anch'esso parallelo a $\hat{z}$. Inoltre, $d\vec{r}$ deve essere perpendicolare sia a $\vec{r}$ che -a $\vec{\omega}$, poiché appartiene al piano $O_{xy}$. \\ \\ \\ +a $\vec{\omega}$, poiché appartiene al piano $O_{xy}$. Perciò è possibile riscrivere $d\vec{r}$ nella seguente forma, tenendo conto che il suo modulo è pari a $d\theta \cdot \norm{r}$ (ovvero @@ -296,8 +319,8 @@ $\vec{\omega} \times \vec{v}$ viene chiamata \textbf{accelerazione centripeta} ($\vec{a_c}$). Nel moto circolare uniforme, ove $\vec{\alpha}=0$, infatti l'accelerazione -centripeta è costante (vd. eq. \ref{eq:acc_c}) e l'accelerazione tangenziale -è nulla (quindi $\vec{a}=\vec{a_c}$). +centripeta è costante (vd. eq. \ref{eq:acc_c}) e l'accelerazione +tangenziale è nulla (quindi $\vec{a}=\vec{a_c}$). Attraverso questa visualizzazione del moto, è possibile ricavare tutte le formule proposte all'inizio della sezione (ed è soprattutto