From dc7ce90ee7f9ea2a528c53533ee7fc94d2110a96 Mon Sep 17 00:00:00 2001 From: mhjensen Date: Fri, 24 Aug 2018 06:35:38 +0200 Subject: [PATCH] added html files --- .../Regression/html/._Regression-bs017.html | 7 +- .../Regression/html/Regression-reveal.html | 10 +- .../Regression/html/Regression-solarized.html | 7 +- doc/pub/Regression/html/Regression.html | 7 +- doc/pub/Regression/ipynb/Regression.ipynb | 9 +- .../ipynb/ipynb-Regression-src.tar.gz | Bin 211 -> 211 bytes .../pdf/Regression-beamer-handouts2x3.pdf | Bin 345628 -> 345650 bytes doc/pub/Regression/pdf/Regression-beamer.pdf | Bin 324693 -> 324702 bytes doc/pub/Regression/pdf/Regression-minted.pdf | Bin 340926 -> 341147 bytes doc/pub/Statistics/html/Statistics-bs.html | 2551 +---------------- .../Statistics/html/Statistics-reveal.html | 19 +- .../Statistics/html/Statistics-solarized.html | 19 +- doc/pub/Statistics/html/Statistics.html | 19 +- doc/pub/Statistics/ipynb | Bin 212 -> 213 bytes .../pdf/Statistics-beamer-handouts2x3.pdf | Bin 502209 -> 502234 bytes doc/pub/Statistics/pdf/Statistics-beamer.pdf | Bin 451933 -> 451960 bytes doc/pub/Statistics/pdf/Statistics-minted.pdf | Bin 409282 -> 409633 bytes doc/src/Regression/Regression.do.txt | 7 +- doc/src/Statistics/Statistics.do.txt | 6 +- doc/src/Statistics/make.sh | 2 +- 20 files changed, 159 insertions(+), 2504 deletions(-) diff --git a/doc/pub/Regression/html/._Regression-bs017.html b/doc/pub/Regression/html/._Regression-bs017.html index a5524d1e6..4375e1866 100644 --- a/doc/pub/Regression/html/._Regression-bs017.html +++ b/doc/pub/Regression/html/._Regression-bs017.html @@ -210,8 +210,9 @@ MathJax.Hub.Config({

For a linear fit we don't need to invert a matrix!! +Defining $$ -\gamma = \sum_{i=0}^{n-1}\frac{n-1}{\sigma_i^2}, +\gamma = \sum_{i=0}^{n-1}\frac{1}{\sigma_i^2}, $$ @@ -231,7 +232,7 @@ $$ \gamma_{xy} = \sum_{i=0}^{n-1}\frac{y_ix_{i}}{\sigma_i^2}, $$ -and show that +we obtain $$ \beta_0 = \frac{\gamma_{xx}\gamma_y-\gamma_x\gamma_y}{\gamma\gamma_{xx}-\gamma_x^2}, $$ @@ -241,7 +242,7 @@ $$ $$

-The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. +This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. diff --git a/doc/pub/Regression/html/Regression-reveal.html b/doc/pub/Regression/html/Regression-reveal.html index c43d7c5b4..d5aaa438c 100644 --- a/doc/pub/Regression/html/Regression-reveal.html +++ b/doc/pub/Regression/html/Regression-reveal.html @@ -646,11 +646,11 @@ $$

-For a linear fit we don't need to invert a matrix!! - +For a linear fit we don't need to invert a matrix!! +Defining

 
$$ -\gamma = \sum_{i=0}^{n-1}\frac{n-1}{\sigma_i^2}, +\gamma = \sum_{i=0}^{n-1}\frac{1}{\sigma_i^2}, $$

 
@@ -678,7 +678,7 @@ $$ $$

 
-and show that +we obtain

 
$$ \beta_0 = \frac{\gamma_{xx}\gamma_y-\gamma_x\gamma_y}{\gamma\gamma_{xx}-\gamma_x^2}, @@ -692,7 +692,7 @@ $$

 

-The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. +This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below.

diff --git a/doc/pub/Regression/html/Regression-solarized.html b/doc/pub/Regression/html/Regression-solarized.html index a6c79bb33..9b2167152 100644 --- a/doc/pub/Regression/html/Regression-solarized.html +++ b/doc/pub/Regression/html/Regression-solarized.html @@ -616,8 +616,9 @@ $$

For a linear fit we don't need to invert a matrix!! +Defining $$ -\gamma = \sum_{i=0}^{n-1}\frac{n-1}{\sigma_i^2}, +\gamma = \sum_{i=0}^{n-1}\frac{1}{\sigma_i^2}, $$ @@ -637,7 +638,7 @@ $$ \gamma_{xy} = \sum_{i=0}^{n-1}\frac{y_ix_{i}}{\sigma_i^2}, $$ -and show that +we obtain $$ \beta_0 = \frac{\gamma_{xx}\gamma_y-\gamma_x\gamma_y}{\gamma\gamma_{xx}-\gamma_x^2}, $$ @@ -647,7 +648,7 @@ $$ $$

-The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. +This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. diff --git a/doc/pub/Regression/html/Regression.html b/doc/pub/Regression/html/Regression.html index 854e388de..7e1a6bbe5 100644 --- a/doc/pub/Regression/html/Regression.html +++ b/doc/pub/Regression/html/Regression.html @@ -621,8 +621,9 @@ $$

For a linear fit we don't need to invert a matrix!! +Defining $$ -\gamma = \sum_{i=0}^{n-1}\frac{n-1}{\sigma_i^2}, +\gamma = \sum_{i=0}^{n-1}\frac{1}{\sigma_i^2}, $$ @@ -642,7 +643,7 @@ $$ \gamma_{xy} = \sum_{i=0}^{n-1}\frac{y_ix_{i}}{\sigma_i^2}, $$ -and show that +we obtain $$ \beta_0 = \frac{\gamma_{xx}\gamma_y-\gamma_x\gamma_y}{\gamma\gamma_{xx}-\gamma_x^2}, $$ @@ -652,7 +653,7 @@ $$ $$

-The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. +This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients \( \beta_i \). A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb index e58efcf70..468d5907d 100644 --- a/doc/pub/Regression/ipynb/Regression.ipynb +++ b/doc/pub/Regression/ipynb/Regression.ipynb @@ -745,7 +745,8 @@ "source": [ "## The $\\chi^2$ function\n", "\n", - "For a linear fit we don't need to invert a matrix!!" + "For a linear fit we don't need to invert a matrix!! \n", + "Defining" ] }, { @@ -753,7 +754,7 @@ "metadata": {}, "source": [ "$$\n", - "\\gamma = \\sum_{i=0}^{n-1}\\frac{n-1}{\\sigma_i^2},\n", + "\\gamma = \\sum_{i=0}^{n-1}\\frac{1}{\\sigma_i^2},\n", "$$" ] }, @@ -842,7 +843,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "and show that" + "we obtain" ] }, { @@ -882,7 +883,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients $\\beta_i$. A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below.\n", + "This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients $\\beta_i$. A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below.\n", "\n", "\n", "\n", diff --git a/doc/pub/Regression/ipynb/ipynb-Regression-src.tar.gz b/doc/pub/Regression/ipynb/ipynb-Regression-src.tar.gz index 193056ca44418f2d6e64dd02131202f6771b44a4..511f8a4c0b45a416add0774da1af965b16159152 100644 GIT binary patch literal 211 zcmb2|=3wyds*h%1etZ647L%b!YvOggqqR+ng~w)=I*P}NxYRVBa8b{ioGEm$vf911 z?CQHEQ~uq5R&Y}B&hEH)VX?UwpdtPH)P*67xFf zibcp*mn)yceiixMJW@FIT|(`qf4A>N+8dv-bjS=e+w56T9fC`M1or^~1a}QSKyX5E4>suFuE8w~ItlIscX#)}J-FW7_r2$< zlV9JD-rZ~OwWXeVs(MvtMiEs-5&aB+M*&!=yPG&BI?2;iL*Ql5{*4JR=rI2er&bcf z(^dnCm(l-CFruMG{WmUPqWP=9KF8c&{2hS8UvX^-qJQ$Mo#Y$;im7P?{?q(F!`&KD z{=@wb7PiFui|=gj^j9x*&mfF{&sG&E^;bSc#L!=StfZfR)!WJ}frsZ$RPUh&9qY?G zZ1oeh9qKr$#N(8g_{zsg2CBR!MM7(`Q$kSMS&z4_$BjIi<#vC0xU6WIpiZq&!JYf#uT1`#a zI%3K{#P~?Wj9<>4ypNqVpy52&tcVl8N;u;&N(DE0%Q5MG=9Oy%PjyGhg7P~`$L0D< zNB8XOk8P{>^i@UgmfZ4~Q)8_A5}LS6z4sF3Mk|a_$XPZE&t2Rdn0uOlAHt7jU)Mp3 ztIzMzu#{}VZa%y6T|tW^b%c9}mUnb-E3`dkI_CR^~hU9`ZvHtXw1;v*gg@_cS<; z^7ZF7A>?vAaVqd(Q6{Bu5uLrlK78;9m<#2UR!g=;VET&1`g8w>y$4%CMJTvBt z;wlAxTd(jyc}A&YFiNsWF4C-!Csnp#jhD_djgGq+Kdjzf%TR=$o=e4{ekHqf!@F{$ zy1uero-+$Drk3$D1V4Y+eprVsqN@k{aUGcDFjGI>wqm;bFejigP6Di2B>-kAK8VCR z*~khJy8%Nm=9N!EAZn$0R;7Ad&a7BflAwKNEn0%14p%NwL*l82d@&iWv|@DG`6zaS z12yu(pN{dLL#3fAS}{(NN6;Fc!*^u`%*ky=5D8{Xbynhq8eH1r5w!>|a<`>x=l^tVpvl zX0&|~S#qCP{hlJeGszA0r!jW)7h_IH$1I}bngUb?`C6=nKLRx52oZRhd7Tlnk#1I^ ziAy@Hr%L(h6Q$tynq$C|as}ox1>sdi5R-WEabP-m8M;4Qd|z}}@C!KsMnwwvkS0mV zJd%NMtbd#eq`{+h(jX#vY2}=1N94kM92JCNZPC{E?eUVQV#o6ik(1e^ zK2*Hv@(3wi5<}dWmY|ov>e9%xmtql)^Uy$w>usBiic~*~W=&W~h0U7atyh$-wSocB zt1omd2ji(siO&Oxd9_mY=uy-76gA|XCAx|o)U!E@(oi= z>nb_^!ru5N)1Mov$2L@O9GQS*sVToHJYoxWia7Cx?TUvB$?^$|0yHpR6QHsfg^zYC z>C+{P;ALHtxmHz=54>`;2i{=a#KJ99L8O{9|Wf(v@mp zlp5Z;DUzDKmot_E_pCGyq&WVXT*C>eRfym+wgB+W$v-p)@xfsU>ujnC{;qdL9Nn@I z#a%;NH25Me+25uO?WCB>7>`ILW6(1#j422q4HQI~gNcDyJfuL+Uw-SpK$$$SN58Og zw^i}mfAxmSI2JBT^Zey{OC%Tc^d4?S^P2)%ex@&Cu30RSriRrT^IZ<=Wy=87iI9zD z04pq3MIFf+!LKdg$Zuhpb#daDnor8nK^f_s-E_Oya`-2m>7H&osVVR4@YD?`!4eUQ zDTu{bHx}G8c2h^T(5Or)@Ew131-V&NH+1KB{X?9nRydbY1n0Rk5z5}2NO$2FQBpc& z{Rdv%vM4%eOUw!`WY|1mMuD0DFH&f5=;&V1(h67MyK{|*g|)l&F1!RF8`DTRGv{Gf@7a6@3vWf-o`XV~zh;^%ft>SQ5(^|B6do zFLyH>#aa1LK-{p;A&t0xaC+^w)B#flC9<*loh>di)phlY@CP``q>+O4*e&G#yg`Yw z^mnG22Vz$2v-`Rizjqz`7gmNvuTZlhMoHSh{AEQegpfS`Z1Bataz>2M60~9{6=d6F zbD}-s)w-vDX6n@G^%?+`EWZDNg{xS!qVLiCc~S7jeTHpog@dG4?AwaZAoXj|NAm3Y z;}*S<4CQKl(>sO{mGYCh4MkDILPq{`gA=tdyN8^*-})jo@qV)=@;q0vHC}c8EVBh0 z2RKtzoJUj28`GjIn6Jwxbx^U0&q0uGpZnBSWSUVFeMTnFwS{GmR-G+)-W>b65u;s4 z7i2{H)5Lm-*~7ZmtV@tgUyz+Y+|8T%~y0jiK`~CgFX*$0gj9jh;`j| z*q!P7CFoo$P6GDLM*CAhx8@m$VcB+WpQgn_S>kZbVfN5|eLXhv&Jf=oN2tF0wDdE^ z@Um=uLLB&h3`I^hXlzS2p@#$2;lb_krX99t?C{BZPpmdL=T=#i`u6s5&G!){YR}t8zOH)Qj#tN!6;Y7yf5(SLO8$}-=`-zr z@%@(^{)!WAW&ed24%q&}tQS-N;Q#8bH}`q}4E!HQ{Rskm?q8JpS`7FvDE~Lqe>t*v z@aF%FQU6E2N&Ex;8z!fK|9@ibzaA3?_>{lfP_e<+Bm7nLkpsSM6J8+Ev4{m^sOPaH zQ{^}JqkW0N3cB#%t~#2zC7o{Gt3oj(pXvDsrykdhUhjC${p;CJ3k!ipZXt;fshR(yLrBqN2x}6D#@ml?%j-gBLtHAyp=a_WLd5D1oyByGA4v_EzbToR=J8gs z4T7yzSaFrBLZr|49IqO@H0O0eq?EQB3{X5BEmAAx4ObHl=Meaa8Bb;>tfFyvyCF{m z?o7$|`b4YJam119fa)+RSN}Fr@lYLUrQEJ1I{EDfHHMH!n#f@AE8eW~R3>;#lo}H8 z`kM9#8X!syE}v7dff|HxQ3i2cnPnRZt~Vcja~2sZfN;>7b0fg4y#pQO`Egc)m5N9o zLL;11mF+1N!mog)0x$Oo4?*HpE&#r-1SwywngKkm1{7Joz&W@_H|JvpI-s!6mhXk;v5xVY&EUE|h) zEkwicxV0v7@Z3T_10d?4_~2X&dI-_`RB_W(%zhcK~O>KAy()Kt0q}mTd1kzwLdK$EIe%1vi3XAz}YoyqgWr0pdaYvBJ{^rzFZ5~ zZ*F+G@fZ*q`$mIiWy+j-#_#So*Jd1h&bFkrplDm4@2b4CT3%P!N62acN{D+Lf$XV0 zOE#4hBSj%(q&Sbekqa=dFo^L8#}Bp50CHV`+T~u(OsGe753H(!1eTrjj`x21S1p6t zq_!8L;fvP6FS$FC_4gTuei$%Ve&$%&kVIzk7NgYFBMh`(*0JCv(#8zY%-@EMSnI97 zC{2Kf!~_`LMW*M@qI#_hBoV*dM+o`~c^P!bB|pr~^_>28cB?KQ1nY^7BVJv}gz2eT zjpGj4_tYnqsB|w_R|4O+v5<@(hI{JI3UDS7oDc2c&m=6FKdB?Dmcksl(i6MSdmXO} zob@K?Z$Z78PC}HU?6Ol|ELyyT7!@ZfA+-h{i&HRKb1=jD9x6_Q?XTqZFywoguz*UJ;*h%mqzIAR<=;Aj^uNg`hjHAJp{v2We(N z-eUS-?Lu-Acf6d_4fczO4U+`UO6Az}zZ05alA%_L{|cYJ^QSN5)}BXow1OYslxW$;Um%iWP_N~`%@06;7=5}?LwdmCSyuO7DAMzawp*q;93j9uUz zgJCI|&<@lIEJP{n-|I9+q)|*T%S^cHAixGz1#N@tZoeG;M(})1Mng|JI8%WiOsYFE zjM@eGl}tz$Txxt*UdC?A@R}fX?9NbGKT7boFC41!0JggdmSEQ~tpc||5wzFU98@S8 zXUh$Qm=l?s3dQ$zBn5pOwlzaPSovTUI-C?~$B1jcGXva4lNGr2*C#ql76*bW_T5@jtVypNjA$r=b zyIZLNWv6C>@c~Pj*lOL}7E4%Z2K%W@(IuTwzBt2lQa*;P1*uMcB(P{gC|poNyT8wK zq>q@xrZmtYcv8ZpQ?WtsJjJLqWi3%Q_{ zId`v&`*j}J*}kYP1w8kdoiHI>acelr`5-L2BMEbXVqa>%mR_lNH60J5P|_VRbsj(w zhNRsk=zRJ%o&dj_V8c1w?fnD}rQa1`jK$#wx>kASnpzj}WV4O#!f>~em}ZtHetMnX z$TDpX*lNTS^?cD!^OV#T0VR7H&IfdZppAoBnfDPAR)_m>Zzz|KcEC$B%~)~>9iC6J zdKh{U&l@`r5)*qenQeV7NBB6}k#1VR3Bqlx_qkSSm{?5nRx;z=U9J5Wl=gxJkk?{uyuj6M&7i_) z#50}H^v!hMHt0pbYccHfm5sG=#myu^*&dBFY=6vBAHhpjM`tEKeX?`li$%9%4QWi- zhV8RSrO;0`Tu`}H*};Wr3#s8+`8rw8OmYKx-WHO7B(dUTbMY!pAFQy0cvWoN`1xkgSg9vtO*~6G+vcyWN8l78UEa12{fEh8||jRicLKtN8kYY57#H_#;itK zToGHmg}MqMY~rE_OJAEOqx7+4h zZ6Bs*+Gm#R2&+x+^B_-lKSGY~Mo$($e6dL5?sw;9x5_})!Hv_Ih_6j>Y4Q~=0*_d- z^csU+bf1Xg1|92)t8_sPKo<6HH6X?rJ+vp9G#nJU)}yP`{c*S(_()4^%A#$`wi@BF z*?LR!+{O0Mtt`@K?z0^qdDnE3PHiW<)oD@Sj6@Yx7eY5t1m_ktP4&B$dHRHpqvTK$ zb8>3#XvN&vGMU}wy(=%IPuvE49#OTvspw7QdG`__G@teuGKWAH_v8sbD}p;5QJ_tQa{bN^-wMS%IVk#$K=;I>dX`-Go- zWXGoE`&M?6!+{16@JII%dEG-ZY05`cK3erpi~HSOn(4k64MXop-!8DR;YLCh68wre zAin63YqPkm0V z$g(<)|28kDzz&GJS!=U}x5&}jH+Rs}@%i|l{bru(#z5*eCG6?-6!h17s{7YdCsa#Y z3U0+`b&RGjy)}oYF`>`BHNW~!JX_d+v?n;}XMa-X|7<%aA1@K)ggzeqIYU*Y#jHCY znl)*grTS;zZu(7KR;o&^@%q}(Bey_&}b zooM;DCXF%dN?h34L)*ZSOKa$wvoCq?DwpmeSpc>9obG2zfsj0 z0ztzoVfIa3X25qW$VU*w5dT}!sxh&OB?r%%T>vK?L83%P#vyM6A^}<#Co&cxu_4n;;lrVzYWhp>9ciMjzd@oUma9>K%2}wXLWqEmM^O|$-s4w(fOwUyZm&G_<_mt$@|rqY z^~kfALpWYFSXI8MO?Ed~Y{ki#CmV&VcwtEM)p)4Zp1nU_?ISPv-|rzjoU&!tFVtBS zoi;BlSXWsyKnub)+#Ug`m{lnsWEScqy&mC2rk=wUNTdYE7b{JHJydvPTq%y|!x^v{ zq zva@1Ag&59!C1C17dpvzNvrO<%qjIwX`Pj(No2vjbI8YQ!5XCZhBXccc@G~~~Idm59 zL(CexnIHyJWFTES%Nbyclirm&XpoVd^`56Afn%LhG_i9>o>;Mt0t~Q-eCaO36H*n; zb~hZMjG$CwVR~>8IKIl1re+hq$UKpr+2iB3?0b@R9|L?hu{sevI4RgKI#g*`T5w4> zcoi<$0?5C7Pq<*Ii3$?O@8OXdI?WrYlzt>E(5D_SdB--OR#4Qs9M{01C?zv& z!j|G)X*-`HNyztLBrVFo9*8RWaYNS?e|}ZN#mda+JF6Kg zCvWFa@Pr2R8JOx9K3`#XkTo-6qmAy3r?4>s67-{zToK+PC|{X8au#&a^SQr0oza+6 z{;+~*Ax!*rH=OPdh+%K`N@*bTZz+f zVbI;OU|uZylL8l+^4!oWd1hL9U)hAuBRpjp^X~7SqxT#c`P9TPQ!ek+)bK3AnTGT; zruUN(&R#2q*me%T6_%wN1=(e(Qww5;Ci-A|K^{fw$1_1b;fKlBm4`kqTdj+%f@ zwWli%^YlYR{Gt85f&JWuWH1~9qvIirtOx|&qIW>V36zxy-xxvD>>7z28-=59KZ55x zX6(|99z18%2Sg!pj5gZaM7YVZ^Zg=9t2?=p3*kG8EZ#T@F=5XlY4xwPZQZD-9Z&yS zmxfpp^vo4Q{6|Ak zAG8b*I5u{QeImMMDoRJjg9!@g5Y>~n=hLUtT-Ht7Gsk=q%J2e z(H8vL$@XbpR$kN5H9{R2ipbpQ>B!vqs+Y9`Tg*xl{dV%)@y43}qp?K3TTrIEA}pkT zh4-SyPC)CchLJIyYWD%5ne6>THwekz3j5)_ruWC8{oQ5vjsXRFgan|{(N<)DEE3bx&? zi>@r0VXTWX>WkEaH6P8e(>LR^tp-R&NZUe#R(y^t_ zkXwaQzetYL7p`Z10axds<#9Pwp?yy%(wbCUpx!D@Xfo5@&x^Q@=E^&$$AjZ7`m%t)Q*@tI^Pld#biIx8@IX*Fl5*251XT&oaljljqMy-;NYn zeFd*}1One~?e|fWAybj*?EWh7+#{4(8&mEK;V}Y>%M<7yO84b> zqf8rptnwxeO1G90}ERxdIQX1gy+24X<}N6K5?Puv@GR-9f$#11rppZ2pRN z*n{(V-PbHm&Y}2o08Pm$_7Sf4Mbye`6w0u)x?V>LQ>xIkKH43pu&>MLB29q>?*y9y zoBh&E>v#A{qn~x`LASr0g?U)#Uf}#kz3q1Rz&KId6s`vdp>Do1>4yWKw*`mo4_HG4 zP)-G#qHl~u`nt)mgFs^&iSa6{7k6Pyy@fvogcey)r^#bV6`nnJpYB(wN)uG+>T*q}GD@B1rJ0oODhM;|nr zYEc_4ENpk1C14)fy^9>Lj9*SE1-@ST%i?(c#|*JY6>SM+&>-F;hxpj=uj$=?58D~t zfG#BF85?pQXDhX5{n}+$direVLDCz_(fTT}P9;qzYrf)>Jz%d5)Z4P?v%Bhbn=9l^ zeYdVFx>g4gji^I(pp+iEyZZVIkQ1u`9ovtNDS(=Lr#OJgPz!*M69dzh4+9gY)KAa< zF?N1pon`{?y6JvyGIl4o^=|1#{(c*M08lv;lQE8~#kK$ZC>-a!Pk9@lHM}MckV&eT2h+1@OV)?`#_#h|t9thU zng?}>p1U7bR#v+p-^ZiNr2(-vsN@hXFhit7%CQ^qq_^BI}t zUO!D#)vKW}HQ1ge#`&48dB;cbc$|mbg|5vYd28Z~7C;`cA!@9Zm^1MqpR~!sbiE9; zL?=;?C{j-^bRz{mK}x(1l=R-nWo~`F(L`C@#MJ4=L|jMx+(e+-MCo+zmU6U!HmOz# zaFlBCx!r{Prp^Oftx*;?9OHWvg_7I_j0VhKcHvhQ2w>13?M2%gv^HihQZYBHQyey{ z19ycZHb#n1)&;0FwpHJCo3A{H=I?`U_8&r*9~{C9u_j2wUhX%S`eJ#4?rGv}Q|CGG zYw^%!>OnDbdr^hj3~^ojk|U1lnW8?oQyf3iT0C*Z43O2#L@JpgGkg%`ob6lgS(zyZhwc>!?(fkyC>p@s}8}@!!xIGT8 z=JG}V@FTzQNTcB<#0mltYcoCQzk0;+W*THjb@~ZU7<$Nr@Mj_ZSxEJVOvp(DOg!A2 zT<f5F7Sa

PpJf>Tn0 zUmC#22auMMlHunTl!e$v+$D!-Kr}kl-mH|zKkc6dWqytjV(ioWSrZ%6YN~ACe!RvhB%xgcQ^`{s~z^y5E7kU4N zMG8?$hqDHnB5mq)YAyN2$9xaFrf*NSR&BBIIFL`s6o_k0l4^2@Abu{Oe7Cg;9-aXS zu_StVe(yz>GH#GxabT?@K7XfB@pdFq{*@yxe>-||(HQ@)7^Q-nRxZyK!QYdl&xbD1 z5c1?El`=z0K6~xg^-NLT9#NrI(R~Ha7yQMVje>{!>hl;^!|gbJuWZ36f(X$f(WOc; zdSxZ{TUW2lie^2%L5pb>7k-964Pg^M*M!!(`K{?-mtBN&U`Y)2vXdwD7O>B|4Tg)WiLV z&9%myW6D$2sH%;@&WypX4uphN(ePAIP)T%=C95ljl!E^kUsjXXVIh)#{4Y+u{0vE6 zXMnSY@Gs%-1S2w1xc|jqTC)Eu@OS*z=fywx2fT8B#I?k*|IM#+k!|@SrlJ<~Z}WeK zdoUvYm-`Rqw?hAe@9OCCM=u2LV8s8Otu{#Fk9?x2(LeaeN!5SU+s!P6{J_DUNG?wS zJk!&6B5c9-U#!{^n)ke=SwCmE#WMk2Q$Pu40o7a-XqX^>eU5oMw7G+7zVYN+P=51X56&g zJF*Vju(mRkw_Jk8NoYv%2R`diq{CMN&8tr%vqeVvr}ItaoUM~&dllb$XpmBhaM+$U zf!Trui=@6^X14a8n@|%vbj4b{V&0f$Jf!DtsGhH}hmtL3oEf-gC&pQYe`lrttB34Sx> zk1FEcAj%Dt6{O9v(nfM^z-#5xv)pc^n@z58T;5oEj+Qm&SwKtS+_U{rLmY1)3ZXH1LPYeni( zjK^~n2b+Jn_`k<#ORTh0-`!#TqcASMEo$o7vd?VhD@>mr0SVVd= zZZpSiZn}9o2vCQ6Gg?zWBEZ+czJC>s@^z%Ya_NxK@+-p#-=Z17lgSd&*B5}oN$vlz zAL6~`$tuU4b`ComtS}o4BvSC&oqaXo8_^i)wPIP1Q%0S?soaWFox>!K2{aXMb*zwZ zNEqqYOefZAE=uB|r$%dJI%QKajQtS$t;~Zyc*X6LTO`1@vUmB);IVGr2izc#aj^R8 zH?8E`M|WnGNSb3KCqH?7`nBc35Z|c&%)@_$@fy(iP-y7z)qZ{%*ymoCE)2Xkw1rSG z=A)mc3&D~XfZ#1GjOW6XU!(;Y%}RrEDAL7=FH#Nl^o^-myAQj9e5CmsSU5*6+-;I!15U)w3jA=rzz?ZnhG&YdnL z;9TiUP>2|!72~PtZkHn$_{0g3RU+W|eGQEJ;F@cmQ^Kgt=2y4}B$#@}2Q=^7SU}V= z5;y0=yK{YK9)WcOq2<3Z`awf1;?-j=m7HXx)k8U8Ht2RSpa<@# z2uZ~N_74oHi{JUQqp9VrQt~(SlzRb|Z?W5$ox^cXFJ6?^ujkqsQ=hIi@g#!O>4gaS zSeyqbAbq)ud#7c7yWhbfNpE8Qs5y@haqkXNa-93pDKxn?(77_6&;RjjvezBeb%TX;aCc70p$!_Dq}ccX**yV(5s@(yrl}JProOo0>75So zsD$IDZ|i>dC!L*Ro@TJ!uYwH#n&SRpRVwh4=C1?>n>M{e@WlRjk>MUUclo}!|I@t> zQ2ekWqitOoxG;g+g=iN~L~a;P;~MM$%7yS@COoD^|I@9>DXsD;|L+ zr28hB?f)S1p(FP6y%Mir_}EJxSaDK!Fz7MuJ^Q$ip#^Bqp)vB=leQx$x{nLp zQsmbc@*6_Yot*VLaGi7bxgY1`oanQax4vds7t6QvwKH3=axn|FHhT5h{x1J?Q#&i| z=VJG`dxz1vKxPO~xT}+CrebAPv&~4ntpCGPy=0$R&GQ=6WfFetB;*iUu+zp7RfWSN z#cz);pLc?0qL+-1H!wHI)P`57cW>R#sqg8#T@VgN(}_K*n01at9)Bnrgp!?q5B0js z>IRs91;O9yX1q}n`F}BQzvdtDhGAIf|HkWj#)tn;Jp7$oGvD_JxkmP@Q zScoA1Pm}$J<3$CT@@Fp&Cdj4_|E=8gm(bhXf#gb^#`y3F=te00&Hu3KsHw(WtK@mb zSs?_)^%Q?NMRGZ%Vp<&2{u|yd8w&CD$^GaLDK9Xj9GT^r5F=w9U)w}G!^sFUo#Bw! zBSoQDVXvLOjUf*%(iviod!9LZ!{-==Z}Oovq2GqFXmI2xSMu#64*Ds;vW?YrB*fVy z%1(%cNZ?>5U}iu2PATH<5Bf}I1-VL=Au~=4>g*mYzFY@<<$y4^66x~ZHuyO+bOC9c zX(-e!T&Ul_%OViGz4fUgy-A}A&`2#3rkn$d5^t}l0=fh4KKxF>X`w(%g=CUY#M;JQ zq7QAHhOkjbWQ7cj2|q8E>NjsH>v#gjclhFT8bIkH^?1gIsgkom39hVl|FPP3L-A^qph-P zl8wN&Tzuh}$@dRk@o-}*LN;{OM-RhGjzoE#AO;R|yYUR+)d_-`K;ES03ln;U?BvOsh2#7oihP9O> zk_(72XNIWVN)76?{eo$ZFvRXi_a!)mHVSJ{YA!eELz0YXH~Ja%HXOp2oEiy+diY0? zz&qF$?2?&m4P{w5k9Y{%j_@b!Zuw`d`AGAC^l%`W`xJ;w5v>fOLd8Y-7A-(5R|`(r zPMI}(DxqLCa_*ZeEuB6DnkGE$rk@*yk$;+YsJD@kHto)(eQQ}!IdzHDqMr+ek;drq zSJodXRGuIoEkn?Vblv^WFS_vuWsob*!^l%B8JKf*A~0K|hi|K!&5_|J^W*laez%-@ zgcZO6Z1KaBXrOiW=lSi@@VRO`OdnHhq^%7h-?F0*sf~}&fg~#19h%@Brv}Ks71Olj*~jtXq4ouRylQ)_`dKhNmd_0mFHHw^qpeg zIR0Y!^h#aVh8-Z`Z&4Bw2>( z!llQk9p^Lxv-g!EJLMJ$YhU7ptyQAIf=kz5qbJdh*C6Jg-{l4m{cJ zyM5})(LwXPh`w*CQ{s$-qjmmMY?K5?>$ZC8_*_S)Ei}}wX6m_y1;D64isb9XXmD&I z`k9dG)St?a6k$=C!jJiri~u3yi$9|pY4lWI?~rdv=r1!*P5Y~&)| z=6?60DZHb}@f56Zwa6l}1~Oba69-UbilD_L0xpk56vcpef!Abfjz%*yuxdN=iPyA} zHoPU-(S}vR2dX@3Dqjj{wJbW?EdWLh205m$(qs=Or9llM5#z>L&a!a(`BNPeX0l*^cQpL<30 zwJOpNg>@qMB?%rm9hU)vClNI5E5gobRw2%-9wdgexkDK8+hpM;AJ6Pr-8GVT-!<=B|L6P zdogD_mW|J(l+cf6vfq+nxcEku5$Yd7z-qUrS5v?Opi)6zB3D;L6y;^6GzLR#%v@2| zLKbbzgt8u1`EJr=e}n~AJac>(8yma!tuF}YmFD(BiM4*UHe^e1FL0!!q3Pvh36Eu5 zcC?w{fuc13vSeE7d1P#u-d7MIzK#~H#5R^oU9Dti#WB7R`4hceOyJ;)P~&5M(bEzQ zZy7cc)wyI^@@!e}qAtZ=7-(pk^K^J2aUNtt#M@lAXH`>e?q&qs?are}X634_LFG&` zXTRg*Za?ssle?(j>C7~3^a9O=j~wa{muM48_EjKp#P8!V>d2bA4%2v{)Lc=QcMIe( zL4l~JP0}O%U&D$i54ou)QP~XK^S$%UYzo=4nI;bR(XNwd=U1nzzh2%;)9wu0tAUDs zepyNL7H{#Uzib6oLq)zDTqp6f-eQJMEX|7PR$|SG`8p(Wl(QBfH+M2c(JUa#sWqkG5vn00`1)}30`;Mqw zb-fevIxOA8P}f&2_zp)(y2s~UU0K&LLUw}7%k5MZZFlz?*vxqJJ`T=1bG=vV5bMxI z2rtxWdiby!#Z)?JRmbcc%NfM7IDhCCkER|r)VK)Wb)DJ6nZ4Z$;zFw|-f`t3Nkw9< z!s)YX#n{Jzo~q3>Iv6vkN}CNEZ*DEiBZ}lC_?8Mq_~A1UV!SC?2ec7wd5dGoQ0dMm zHb9Q$8Fe&FC%$Xff;CTi;>uWQTUVq9(PAgti@Pr;fECwoekqX|#eV5^S@EFsBL1Q- zfIZoNzXNw^@Iq%4;dZI^LgkOs6`{SOeVNg$lhn6ajy>xR$pY3JbUY#iNl_);N{D>w zPTsaxwQK}Bx2PFJ`^;deEXWT z810IpRjGPX7Ca1tbA-&M|GA|Dw&6uDb`bpNT3?{0#a+i)YLWNNj!L;*G$c?iNu|KG z*+`Qj`ozwl19wcGl|CHF`M?a4IJm58guL$B6*@`PH?I%}Y3HQ6RpOc20X910_NLX~ z2kkD%hCCTnU0#^e27keofx+}-PaOm9RbLnxV!tNMcsvKP;p_qHawue4GI^Lw7N3~%>SC- z?-N*l#~cf7`k=wSw?tduqA&^SYoe`J+^$PkXoyq75|HKWX>d31ug|%QK&1v8l9N8w z9jQXw+b{1UQiW&VOwi!!8upHVF~X)WNgSXU!RZ_%IT=_G{PQo@#gooW7EOB>KTd6Q zh4Jib2%}hf4F6LRL98g+243(OKR5XE*gt&96 z)R)f8*#l&9^c!6HsV@apB@0YBKLl5vfFkeOF}zX~%ctSjiCYRwYl*wF@P)`sD6Ie^ z<>aV$Z+ELj0W=>Icksltm})L&C*RoOW|PLohXZ!=5aJtUVmaj%>LZ%zk+(83f%Y;T zlq6!O4tL*50v=aKQ-EilN5_WuEO*+NR6s*R1ychDe6ePO&?BaJ!LW#x*kz`TX<^HG zefE7V9>%w~~mQs)$g|#!AUyExdx9jj7?%>zG8u3L!{&*N+IN zCcTa{V=lWg?8G^z)@QeBZY27Lo`KHDepcUi<7cmifgTi&zGq9xVQL)*wYgbp^fbpq zb0JSu=?0GO1Fg93y#Bbzr}E`zOiX(*L4GVz=vhy`jU{U%Joe(_;H<4+OFjW#Te03lmePfJ7C3`HJWM%_>3KEYGenV)wZ_Bw zhq)~#P#mjuDEyshz#?OcSJp6zaGZsgbPpy`nvweb6Dsve`tBsTT(MIEx zTADXs!65axJ3+92NIGP+MX^neU~+tv<|YsTgov>ehNTJFCfckWvGpXltV}@{1^K43 zo`xpsijs`)J!D?9kl&C5k5H!@+*k)u>vuc)(S$0>S;;RDh4EU%zDq2^XC=jj8>+j7 zo55*}^t>%8`U;v)Po^OIpxj%{<8iu9fF9%Qv)yE7Cj^}5`lQ(v7K5F=st;M3a4_0{ z-t&6$VVu=@RNIMP@c9F&uB>BHp7X{#B{QRRE8;AwlT!*xRA+S^Wdu^F#VD>%;e&w8w=*|p-k0v@=y(L67#uyH2PuW{FYVvdLjpsQumj`fUstHLkWFx@ z85g_3scBs5?>=ycG3yv`Jl5{cqv_v>T$rQ~`B1O}Q=U}(OQyH83HX!m?MhE*iq8XU ziDTQ{ey%ed>%}TYnpy4~zMgDUlsJ;}D(+GJ+%{6ij919fM>aX78rCrN&%1vBX8Bd- zOi4HS7pBD&ome`dDk&`N&f5sR1q5m)T|b)LWj86ZqC~saq;-t0_A5o%87Mv^lGsY} zcAPtgH&*%3p6447HG$(+rw7lDc0F%;Xw|2qQuoRjbA@tq!BL@V@krxPvM{I|jNPsR zU4cQ`=E2Ya^bXYMzg)$rUcNSK=A-LQSwbZ!1kX)tiL0XEuET7< zwspl#ZJiCc;ngUjgYh1s0}ox|gR_;ac%kp-Z=$p|oEpMn`G8;|Px<}Wp>>w4S_f_o zA5|k^iqHMWXl~L^&;7s;j@HP}m(>%-i|h5%y08btWQAAhEEl$yX3ZcqW?`W_nii1_ zyK&7uJtrjWDvr(i{Ac&7%Cmt$shK9Nqv@ko^N4hAxmG+wui2yI1IzXNj@m^-@I1hY zZ7QTT(VBB}WV+M!xxAwPE*XPW$rIBQ9*i~0`GXs|#@jdn{R@zSS$g!b`Ng>y-!1WR z9`#ZF)~S=e-wSgn{s||r(wT4y*B>gM(q81~H>?7T{tvS+IL1>Pokyng?^wpa)}1c* zUxf!Yi^3co;|Ym=iNP(aNH0jv2mY1AiRUC0`}THfRM{Ce9XwsKWm z+)D=y&o}weRCxgvx;7qFj5ho3+Rj;yR$Nr@eUK>l2R2KHCHNLLKP5Uu7NQn!5G`5_ zHY~e1cp797bD$mUPc!Z2Ub*|KvO`ZXi4^&O`TbS`sitqGGPqmGWjLWCiXjRx|0R#aY=msv?U=L zrE`-VJ})~PzCzxx!QbHR3~(7ypB6qyeQX!&n&+p05^Ef7;J-)eBC7i7LaS86#{0;b z*Sof(b?E*RDZ~_@YP@yecc^MumXe`KQ{^PQn;>t@Y4|d77WMtW7O`*B<#M!j4o{!s zZ{RY3ZDw3w$oR6Kcla!}(sKl*A*|yVBS+5Sv#=zLYmv>eIJ5C`s_Cc4+|bPHCEv`8 zy3yEA_<+v$NY-r?yUwX$`=grWOYKFhIlrCNo1@OEgP{74U;4DcoSAz%#7hAE+ThAj zC0DFO3$qJ#=Ho>j%nJ&n-wOGEk~We!S)ru!wtQMTs~{k#~q!{%|>8nR3ns= zq2%c0Euf1xyGpI{;#VxFqte1R)hUb@)vDzIoKZUNIWm1tdiM5@aqtxGHRDFnN%!}V za@cri@<>+=@ZTQf217`}?PsV$fP+VHdDi;Q2iG?vB9AAp1@aw6a)$%!Qm;lxdC9>BwHG6>z##f^FSGxS2m&Lley6Y|> zf6phm;SH5#6nCGk=gv$r%eD|6!qmml-UFgIyjQq1N`Wc*_aH0)lR^%ypn)1~9&R-_ z6F6GL+oi^zG+?RJ?^W(9Kp;dVE-tioSZ;U44l9GzSFHf;=K;)+K57g;Y?MAEnVcfF zp2>EznIy(4^b#~^0%+ZPH=jTB-mM#Zy~s8RDs@d{3K9kqGH~I7B2rO}U)CSKu*Z=8*W{9K z^lc*iF2I~l;1Kv7M_vyXaCu$zxfAfhgIR)VHtZSs%BV`1V&eIHSRHaMW2gH; z$R2Y}0r%&xzHs5!tElN{xam60t-DIuz4*3^9IEYRNt8(Uj9jZYgO`Vsz8sQw*q4b( zRE?E03}4x+hL9umku9~<{CY*zCp<}4VZoR6@w++4cTH*bTZ`Ik>_xYbjzoj()hi9N z4CUD3D(|<|U*PL-gF9&^?ZDayRUZ3Z(Vw7Lz4| z`u*NZIc?_gqoU}8e9N&|m!D%+=DWRDex%$vf|J*88=H@`6s=?wkP;#|8XPnXk@qn_ z;-q@4!S!P$?Is+V$s$xgVC1PaIb=wSxeP@VfsrZbmf|AEsyGrdvyp7%C}HGK`F@I& zS2WQwLGn8I}p*+@6#8DGo`jEnS`QuSNWFH3nCi~X!!S>djaS5ojCNM;ho2^hPGH~{0 zKplyG8&g(vecY68IUUK^{cu7u*kBbXY-ge}Q(}!PX#rL2kKJE+ie|1h4i*z^Zzk~j zv||!K$0QgF9r7)esBPLd$aBY(Hw@g$?%pYy?<8G%&k=HqcZ@vxD2JOMaj-xMKa5u+ z5NxAyTylzA+Ksh--7snQw;992uUj8@0lvSU1XVD^!M-d!(wv9js3{4rK~_}9re8dG zQgl)K6cA6rp3S|iy-2zDGA}7IN$!jH!@lrP?YsZ=1dtKX?=e_!Q80~ z?U;h{Euk)_nO`QgWtZ~IN#Hk4T3Vf10$dcL-j&)_%`*(PFQ7haj*@y$hL&-v>OHSG z!4;;i#{$i73PadqTJDj0X36xXDWZ?Sxax+HW0q&S1_l_2QlRE-J*vUX$k}dipEAz zAkAU3E89Z7QnJ#<&cDx4q;^GFyIy-8H$YFKq|tC5-!~jmj9d^#et*VBSB_VX*H8F_ z5ut%vp$HhD95h)KQ$_3a?JUX7ve}Y;}?g!LwPoT$NQZ8$8C? z%Qg(J{U?PVL$;`^AL8SxC>CMV*5O)KpNmyHPz%{|)~?E%=g&`aDS7s?@M^2Fx`;WG zLu)xGDlyZ!kd$%PV}Pq5%=J*%QLwTH%FjVUGGeGRENDZY1rRQ%77>2|Rh-oh#3Uk9 zZ2`wvkWq3Vqp7l{m*GJ`u%R_M&L$XUR!}e^2>v}~6lL0H4ULjAh?UVO7>FUInHf2^ z+oEW4ntC({{RBpFzOCIJ&7U?X;!aS>!9$ix=s@)DJtGTz`5G}Og(laX=+dhbO5^Z~ zoML$i6i>4km2rzqMP+|IgT3G9sPxf@t?dH zav#e9VkDQSL8~#GlDQP-!(tW@D=}O*Q=qfd-*1JU0C)NT+}VS0rw+rNy$g4GggfC< zURn@C+}%uun+YFn!-mF;!HG#hpSThjb$Ki}qcRC-n0O>`@*{u1snH;`IhPm(dtY#V znFgmo`Fo&KKWSBj|E4OY78%MhXt*qD4ZU*!Q#i(z!p-DZW;hG<8X6MIR4m@}}S6sCi^!e-bV zTHVd@t%t=g^p5K8gnVFizxlEQ=zvi@1nB&r`mP_h`+)DE`?v-4T{WBEF4|K_S7ab{ zbGWYCtqg8uagW|n`FN<~CW#v~&pcftvjghmZAZ>6VoQJdJuWT-eN2Ws$ofM&E33)< zA48wO7Yu*4ovDr zm+_&xp0VQy`r($>_uK2Fx)kN&;Vz5_prIpXj`%iiF9S4k7wldJ7>4LF*q7OXWx3M3 zOhnK+2Gf6OGowATRQi}ek1z^&kGmHId- z{VvWVQQ*5M1K)%)CSBgfl;I{!YsUK0Bw_Dv-0h|7I3k$+L;yE!*&XU8nSkZd_|Cv~ z=-9&qh52IgP9`WzrI!CECZH3_4yo|t^h)FeRp@_K4hoBo?2nzxCLU0J{Ma3L*0cF# zf8?pyqV$Vtu_~%IITy9zTokfd6%ReDy2{g+JX;kPtDG`T&hS7(U+#k`lm&4n_pP6>|>uOP~7DZdEmNffsNPFz<(eqQ60Ci7>tdR}5Ann}X?Q?a0_7;nA6 z>}nmGm6yf5UViN6ubZ;_d$57Z>D!mvEH7q@_A-PmCSp-G^L5koIfy=7btmuFG#rQj z8DX<-;)(b;HGj;SrXFSZO}V&;)@|Vy6`mGF0-CFkR~mkK?EImDbBb=`^k{!Hz9%ia ze{JCw4{MJ9-J-*vm*ImqcmEvw3TIa%l9Rzo6N7wQhkRTChkRTDhkRTEw|ra#D~JR$ zF*PxltKue7{>AYnwhrK7FuXaDWy=XZRuesg+fa!VyRNJBDMtzl+pv$=oS}BJR~MA zSebZ;(UnoqJ8=Pt5;w+$O5zvLZ{Q&&Zd|dg{a@Yua?f1P%=^syT=PamX`>L4Ctw^V zBBE+zlWM4eGSot_xIPr`Oa+smN)e5IS%4yx3V)%2R@ep2Pzz149rm%V7OEA+I)6b8 zlu6s64r*X8?1pX7!Mg2Gr>I@@XY0Xf15|_G+X)Sd#=BnE2s>aGG%1>2cF+thum@Td zZ95(8hBok?+ZFrHIM@pvTxdVjW3XS*)#kJl4nPldDSAF~@HlisKlCaFzHo35`rr@@ zD1Sz7Iv9is9DyOl*wzg@48w37jw&YZIT(RsY|Xc`1-u~+xqehJ`Ks5A0jFR8BupsI z_B(h2PQqz8rI`86!Ba2^XJAS(*XiJCcm|$>X~n|4gR}4~yZ|$brFR`X59iq09%uyL zusJxdSpUH5UW8dvpTY&W2$x}A@yd$VU4McFxCU1guYKv@DlEbZEGb?;>EJpn!#b=g zZhh-u4Q_Br>XVc@H+%n{)1>!VP;u?8U{EQ74rp->0CmiY;>TeJv^a-= zI_9wAr#BqX;ylXMd~r&c#}q$*<&-MtD5-BEO-!1YR5VWkB}__~v@@rG{w4iOikZ_u z^^)o(oy-}ab$Je`W1a^Zma{OYcz<}y+t}>Y-?u$okjg)Jx+wMdF_M?0$w!_Rq}4S~ zm!-G2Zpjtt&Q^L=diaT_Md^<>JzbMF93Vg@xiQLO2ywFc`B&X+2yII(tO#IA2QP2&;z}2 z5c;4W24D~>a0rIrFbu;H@L7(4pE<|DCpZQtU|gj?TQ~RjUnTwr+GM{^mn`%IAqY4M JB_%~qMheyDs*wNy delta 2485 zcmV;m2}<_f=o8iG6R>Dj0yH_3Apf&q5WV|XY)+LA-0aSNx9FiongT(Kps^7Y zNOMpn+7@b2i6qC)zwcWvDUmcqQ;t*Q&=Z%-$KiaunVnqocwX`rAJ@6XMz*PYfS8J-V8nY`TXShOOi}#uCyg~e!)C{H$pQq zf(OaY=j`3&{3<_vfBx$EODCE@vOGXk!u%zaOQ2v_;K9PaQkZ9klW++|3DW+c6kNb7 zSp#=*Q_QxDRT1Gsc6B`P%Q-wAJuMmeD4&rI5boJ*xql)AK1jxe=5V%TJ4Du)&pMd# z%Iu{jRkDUIrQ4;CrUwz-e6dr1SV`_EdEw`Lr<&-|KA} z-o{t*IHt*bReV=X7kNHUqwOkP7saQ1y={o4$#S|~FYcZ_t74>^+DVB>dKd%sJfdF3 zT$%)ywh0cLys3%tV?t=b91l)Z(zsLLfZ|r!1S_hq`UXsciFQvgAri)a=my4e<98UD z07^8q$?!ELJXGi8R096lrxX_!EF>tUE7+n^iW)Gau<#w@4r^4YtU^;GL|PKa$8E=W z*G7>s_pNWUCJkHm$1M1`W1sYvI|Pgbaib%LPu{&3Y>tPoz+Dah-7xHG<$`z@bmf~!C*b4Y#P_Idlm#Dk*98=@*U zKSUhMEI=?X(-491b$HqOm_cBHlzYMa_uS(#+J;Kl+ z@LjLFg^J#GqNz-WodH2XQc8p3@AVKnqZ5oBW@jZ#Ywo;$B6iAu#7;NBPK$i@iJa6X zClrFtnT8kqXmVDc`rJ=W1$+bbAF$JnU}qRrUhTN@>K$0<@k>e6h!+L5h)y5I^ z@fbq~4`rSUK`pO8g2}qFu!?hCRa zSjQY-QVk{rIOk|MDO^c)i#jXS)Ak-i)!pL_d!V`pr5{<{?>-+OI>D=B>ihrg^N#3; zYPKB5bTfwOa!f0OJuo9|e#t)p)v=G3fot+#v-}^Vdb7)a?ru6V>A@`%H^*28L`D5+ zQEf3dSLL4dw%TxBO}D)*y>MJntRPtHcFCiAO_WZyRteFUJB~Xmd)A11I|(Nxz*@^= zQ}(WZA&lf`z>aP3+Pl6g@J(@b;&%Pl-1&_+qED9LQa#>;P99h)^E1ZPIyaOE*t=Qs zgNfioJU8Kg-ZwSNj6I|xxEloZwiInY1E@`FpLeXII~*n4D=v*3Ohb!`oSCwBIvfso z4mA@K(zg~IY~=|RD4xMY-5<)CR;1*il%by0=3vSk+s%FM&lu^b?fF_>_XNbcaDM^& zvOKWEc|f6Gvj@cWCIX72i~RwDp$3~D0|Wy5P$B?-rnEXf5!}c`aNk@azzE};necu8 zdK45lFe@WOM(X{kb-4olcJ_OtpA_Gcl*50ku=zqA zh<{LQ`kB(4c=Pc8u73eTuo7;Q!AcW@fn0}yTmgrHTmpxITm!d(Tm&nK1Tr)4H!?vnF*!aUJTW#h zH8w>uIYvT7L`5<|H8?RvMMgC=Mnpw7GC?shIX+zqFHB`_XLM*FI59MnAvY<1CDcoA zRb?2(@n@ZVdWV)?D5bO%Yws0*)(Y ze{=8x%)lu)shIC_@FKhfufS==;(~)S@G`s#vx=2>9h`+ZwzeA@z&C6j&M7uN_PW>L zJgHCN0$ha4u%LKjs{)sQU=gmu6~(Qu94x^ytip=o_LPHba2+;aP4Uk64%XoYm!v*P zsdKaUA39BXpCuLRw}T}deA3-4D?a+gODe!6q-#kNvs&@Vs#AKOwLl$no8pUc2b4PN zfjZ_6#g`inyp1NHj@hEP)8~K|XDd+0Y*XC5?|>Gk|3}?SoPKtHDDJt0NtKh@CUwkx ziu+3r{A2tH>XA3Gh;;_L(Jm;;Ij-#VbhIRw-(M-)E~JD|lm3e+*j6u;hbK#TJr zTl2*!VNNO@e(jVh=V4OcM4Fg1F{x-C2TGWfFllF=1p1fsFDYi82CA1-FX?2?0#efv1a7?;THAS6T zNqY3Dr)BAnw>@2z{`=R{ic0O1p024h<)=ViSLw5@_f}Q<`-G=873Dck>ncX>dAgxu z`Jtx`6*nKdiJ|ge%c0_@vwkTRzd!L*Qn{tmw6X0jgA@B)K!4WvB@}G^H`}?Oq{s$Dmzh0L$^aLRYGYTaoMNdWwMlr81 diff --git a/doc/pub/Regression/pdf/Regression-minted.pdf b/doc/pub/Regression/pdf/Regression-minted.pdf index 2bfce68d9caebc6a0fd29b43abae6e80813331fe..d21efc3c34392171a927c4a02eeb45930efcdb85 100644 GIT binary patch delta 33733 zcmV)EK)}Dg=M{{`pwnF zSMM1uC@rm&thl-@DCebCrchFsjLYKcruboUbyrP)y88C3_mqgHFw>KteDXMDdQye=`@3o#-YwQsW+waXW;(;`&BOJJM0m5B@3)Jms2Xo)8?=?Q?SVM}0uFN@q&@HpM&1D96a8S6Y8JT7_Nwef2l)-Vd4u<)*%9&BYCcKup z%Nk9K#Ab_}(R4{%zP?DoO1ba@U@E6MgCS@wd785lgF#-&=DzPTO94%=8O&i>l)BHP z81kOz7bx#cFV#w~B%x>63n2-7E`^M~`Bz4z87Uo#08oX9ng45lWf_G3K1qRR_^?QckGvkv{LF&721o8-_Z}nd#4YV$YWJ`fN#0$7Q{EOIa_@VWHQ} zdWcBhKYpPM2tChIh|3ZyCRRenOTfI{zlk5LBg^$^p;u6N;zm* z#XdFi{FaU#0T|vCmxrp{aBm-CqueSB`$XB1sj2u$k+)jrr_2<~r?HnA%7IEsXK)9L zI;EWEcxXK^OQRXj<)B-aCT->}bC(970S?fAuqa2-wCBC8Fyn43%;0SW@$nH!kKm<- zxw&$q=)f4R0_ku$&&777g2R!jF#EzXl^j(PzW44=z~U6sCsE4 z$+Joja4{dLML+CVv_6}mc&Ru(ygdSyS%3BZpm(JKWpk&;*S&a8W1wz2I!Sx&mf-sc1@Z zI?uu^L+GY!*RVqzp>g;EJ+JrS9DvAv*t3MS6dm%iOoFOYQ?8{aaLvW%>zh7*b*!7e zn@>}R4yYrDLEPA6@!egxj*O;?0PCY*S7pJOS*)Vt<=uQ6!S}-=44>8kpMMS$wc~># zE|hes352hEh??_f!vi=*(0LxmM~+f9q-sQSIA`5WqUyb{hZ$LYS=~xzZES8` z8n{6c6UYJl48H7{KY)q5JDHw;>k(>8h1$h5dN0L0W+bXTBQb;6=O!OUWiAgAKyHIA zA=w5^i$mFD*=dl1ahqiNH(BH}h*UIEvTpgmFi}*YUpM_kk&h#arroZm4R#=k3}+ z?!D=A1IRRG`$n$d)SL~BT(ujyGGe=DiX2oBX~+P9(xyYj$YdJ9{@acRh)g7Rs)htV zA<#L5(U2DpL}~tCj=;tHK26 zblhFe=T!tyO`wvS=F-}KQNtBM=NgyeilASwBG95aN9d{u>}(Z5z4g)INpv959wvZ; z;Xo+{tBZT+ZA5vIqsq%jtmkK|E?;iPb2GMfc>y0HV*p^dx}Xm?P(A^G-s>1wVCa}T zJyu7>P=PU>1;+Ll7~7s6jw~===VyM(l!p0{A64vs=?UfcQ^O~J;h_W`CS`oGT&%14 zw!Yx!B96M6Bd(jx`gi;Ac3o9BK_H9(>*tyS4co>a&zny)UtUgULWs#_C;>2+k?8{|f8|sfFU{z93${BZp}%#8z0;z$^rs|Zsjf0!^L zW9cTY{VdUu7?H?`pfl;1U8F|4knz$CU*1wGolmBk^*Ki!kM3zjqJyXVW!>heXCIyQznU_V4QglR3A&4a6p zA4hz>l_g+L&01827)6z;KoAM;u+#X60Tb9?MZp9-KnH+zw*^t0!?R|7%dc<}ECZk^ z4<-T`Xbxqbr|4#sc?#6&OnQlV;(X@mmzk#yVje$?dGU~Wy$!)CqjbO(e-Mzjx^q6_ z6mW+DL?a?-)JHV#pZBXoh%g#62;oBRqS7@Wv6|?8YJ{Q6z0n?vq$T1c+l(atr5X zoWvA%I)cRFElF$+Y6tk4-N2T^YJaMg&r|IPhkGUN1rDpd90mq+Y}eRc24iA-iNRa~ zh0#Q)K5x`k#1J;-SzGbtw}4N_+0bDS6N5CaiE7>bc*#weUQUD%e_?ssBv~=$Hy#ri z0RxyIs!jF~406OQKwR|eBpvNfxESqEdfPG*fkhhFcVtVnEh2rCl#ty$kL|D^*>o+S zRP?1$I=U;|Jq7Ba28>8jg!-g?lKy?pa}z=1s{;vFE!95OLpqLy-ottxOK3M`AR|K{ z0y@e~l-{K!q#gs!f5Dj7dN?Bqq&X01F#>d-oJc4LgUIX+I)#~E5h2-bcR(x%h~OB` ziv9M-P$CVcOG6CjM+OT!D_HnR!Lk`oDRc+f24OH>hYs<~?;Zk>F@fh&p`*m!5a2fd z9S{N%GG!e9Q9^*(j;0d=e;Fw}6b=f;W6q?pG=-{16u`8Ae>KHNlgckEX6~jai%IuImEKorU1wzha+n*dS5BJWvb<|R zuD!jh%7u+!P}rzeVF9NvD6W!I8>?31+e--UuxzZ7#y-YSL|K>>_c#=XD^Q7rX*Elm zv|4~lGdI<%e+rAymIqsWpH0dNcWvgWyIB<<3%lUaznPX+gA`2B)64@?k9o+OA>m9G zLG|mI(Md}2cv9*gA%Z}1)xL3%r ztDnF26oIW4X)|{K&zubdE{GViEca&4vU<9zYv()RsgdT+UF32ir3`d$BD@b4$V`7*B}ksyf4W5=0Kx&l!@5bT#w(pQUSG@vNt5{D zPQN`*o|1qY0ka+NR#SBLYztAH=5Aj7g&T8yx{bo2A=usv@14fwRz|~VVgm;5in3ZH zdA@N^z~83IZdZ-n4F)P8V~NN!1}9HQY^%kk4^d23UR;uwmd9|5Xz$KE0@|U7^|e~> zf5<1>C7MVo`)el2I;(v=UC$96XU`5LcYy;(P-VQAXP7@_VX=?U4C`Ut(g!I6#oOl) z7%%VKaN;g^t72-i$Zq4g5s+2~+m3x3=%|Wq3ABy9C77c2Z4(Pfvr&J|`h{&`V>^N2 zJ`5og&|<@xL)(+wxw0stPWFJLR$XGsuG)!A+PM4G(!X;d%i6+N`}Y{&4cP?|kD*_Ig?e5kvsNl1ZC5vLZJurgHn!P975to8 zwnz&klHbP`xY%9UNvEkjenJw6v#LN;u#&Vff|8pX{K0ETOlt zBHN$Rognzb`l8zr5FOl1e-ww483e*+Z1G;b{NkiOdE4djdqUrAk#J@&tE}i-jbN!R zSi&|b+f%oq?XJ+o1W$kLZoLt!r#mNYrDL@JdUK`(jOGn$a&wFrHWc&4F{}AmtHp5j z2P~Y>>vp~PrfA5s>``Z})}v^AXnTp1VtV3vYRMh_Uy%DVX1AyJf8jE0AkcHP*d^h0 zL+mq-v1dVsAGTdcDKDot;)5(23o-^{+<$rblY{slwt(6m03RQcDl1pDdsrsZkI8*n zA6>16QQj|J?HA2cN~iw}aAL_G=@y2m1&+B=Z2#xMZRgoor|InUMCS!}f%u~}FR#+G zEs_QfZB3rtlH~^Pf8HK~Wxk(7U@rc4-~NQYJ~kb`A1HS4LVm)+@Xy1Pb7t1IS5kUb9eQ4g+mt(C@8-?CDNpg{yHgg4SK-YuJRj)!$*`{Yq-bZei2rx1_3e4Y z8>H{wtx?8r83^(x0d(g$xBk!#c3+`y(8V9&E6$?wk+JCPL+2>DSodM@Sqtktu! zaXPfvzmBx?EP5?HHcx_{`hsZiuhYgr8!jk`rT?D^(_8V)^~HYye4{){lkrd|12H)_ zlK~wme_Gvd-A9v-}YCfub)5w1*ywqSywwhirPFEjboemJCVW*#CWp z&irOL91cUh2akHc+)#Y}e0%ffzcVhqm?U8sc(*H$NkKx! zyii7j3+dga-krZMv&Y%}?XNeK1k^kJ)DPaMf9L%#H{RV`a_Rro65veOS#B?2T6`r)Eq}kel0#KyjfPtPT?N*= zOQ_kHS_7^B-pvdw+7s_5fIn>OEX|kgt6+br6`z8aR;|Wuk+rJtDJ&w15LV)C(Oxyh zf3~o5XhaYk2ZBR962O7sk6}FMIim1GJ^x_}_z9q2O>8H#eOw~4|5IK4bWYspb;MQs z+^mA@;>|@%fRpR!uc9`_VDhO5_g}~#_JvwxMK8#FmIu@WHlOP@Kkk2gE5A9srCNvc zYQ2)R+Pp2Yx6$gKd6}u&Mu+#=L!C8Ee_oYurD(IR9&z_G>>*8xyaf33P-jV$Bry!7 z9`jfblZbIo29ksla;OcE|2B)IpUviiMt+lFqg^Wq&2zzouNvEx?YFZzkNs@fW~uoW z_)32Y{Q~vZ!#+?Ew6^(>f0}6mWPpQVj!j-Z6bCn6(p6n;+`K5jL#?)Jqmg~Bf6UzW zH#HzKr<4#R3S&>gGfWbzRGq>8(qyHczf~<*1NaExS1bFp^N7GtRjY_ajRP-65-GWX z&71Rx#BpMc^q+jQEi_Fefw?oWecx0X4L{9_cebOfX7K)KUv>>>3(Xi*U*;e4c3uEj z<%Ff?lt>!G)*BPy<^}5rV;vBBf2mLl(9W7dwF7m)SPR4negOQ)k*eaMs`GZev9DGp zt2OUQz+yodB-hkVenwsi-V_Ko*!T(XUR6b5=6`I^ts!aGn%N)Y)`K2!Yn|Cgz07{j zIU`brfJF#t2riUA*cJAV&9+v6aY6!-I5XJkFk^wWmZA|ZhhUD3 z`>|?5oC}~Rcbo0urAVme#nWytpL1yc>(t(;R;Q9hz98F!ZoNGO-5&D-48rTzK=aYW z5Mnoq-!~P+$}hMgn3O~Wf7~qzyFDK_X0v_F-JroqXMf$H>;gjm0z&_f(^-tbYC+#=0X7Cbg{^=z|;#K_S5q!TgP&htJ$3SSiO?xszGq% zXE|f0NVIEffz}k~mC;@_oK`K^T)Dh=$~CWv$&Swqjk92aLoCv%|1% zSFfrXOL3h+OkJ;M5M8w^RdHx?EUb0C_Mt16w$)@<2He(IAl)sq)OIa&CGOy=egpuL z%>Qle3Wxn-o$1J%PLFV`2v2M+PAg)jc9ya2e;>e<48@H7eoIF~~)4<`!ZPB#&SB!agAQH~n4S-ml^ zL|8YDU7=NrD?>;_bESRov``&(I?IYJ`~8_By+}w9@&SploA7_G^kUKSD2rt@get-! zY^2dlbfvzke@6`g;PY#SZf=%HsD3LrEjQ>C>KQl`J;f^Q6 zS?oFOG(#h6Gmx(RCw^P!86wbD_*`clMzO_cLc}gsM4SX{DBpi43_hnM z6kRR+tclSpXb53N;)*gRWnp)1qP>vG;|hjPcycyve{;9716yu%V}XICK^|F|)v7ga z0k1a7>Xx#PU72GDf|oRJ0H=lKg*PPw61+t*NS^m}mIPp%fv1CcLy|-yHkSq@Oaj=a zNB|F8T%B+#z$Fg6-k>vX#AE<_U^tll4z^~WJ|}X>iA<6K(O=HY6GmXMXh6d5&saN( z%w0yGe@5@&o61<6vhLPq*V=c8;|m=Z7kQDl&iv4ihSK2>4F#Pm42|ZNjrs*xz1Hc0 zUJwD(3!=&FCmXX0O>Xbxm~lFDnMNpkV#$~j#?U)q)tIPAVHdH%hT@81T@13l%05=- zBQ}SK9gXHWOs&P9a6AGKVOJjzx#aKEJdr-)es!ZJ0H ze~CArlcoXp=0W^i7)wA`=>}|zT{B2Zx&Q?elvUoi>&G;83CX8ijjmuz2*41{;1{+dws4w~0XS zz-*?+?o$P!px(EnQ@P859T{*-llS^i{J&Gk$R^beiayY0B*p*vil_l<$ z;`9P`atRvgqu+p!zSa*#m%>V^Q`pE!*Wk%znd>mPJlGMf&9UM8aV*j)w9jM!BRZZk zxJkbTf{ZKJV>S9o3+z8}LPUrjlne;}c6;+btJLQXmtp4u6O%k!6#_XjlObj)f6W?Q zkK?xS{eFd!28gyfGyIgO26-va1XmP6k#3QPyGx<yRHCm%0Vf0h(&SzK*RM=q99(d6IV1xw0$?PmPEuXYz)CkNNP zy?}qlwXe-PDrD_@#lCN8rT2s zM=nM(8)M^A6DG0<8>7@gMUsx7(v+l9#5C3pd$R|bw647>I)j21Y4WQVLKcLOdTD1) zOlfknuUCE9)ShBK#_jP+Nr~bywW#6x9aR+m*crOTNVbwKQuqjs0UYA|pmREbrp&db*D-&!6j8lOr?Tu$& z&#|8|BC|B6{~hJ&4BOxsxtN+1X9RR@!OVa6mNZaJ-{7xGem8C7Mu1`00IE{!GWF^{ z!ngt{(=0*&CM!G$P)zbnXaq?KRSQ8<2IODEH2whXJe5StnD)-}e=+4vZLIcV;&;dn zihjQ`Zl2T3z!ylnbA51~d&JIj8&Jk193CKBii~7=Om@+A`wC-?b@{1oXbz_7by^@* zBH5O;DbSUKOs>JJjE@@iwW%FT0v2_@gZJ3k^ZY38eZflp&eE}D8OT>HmRyjWG56^( z6E!rz2GAeS^mWkPe*_7Uc^2WAER>O)>M-HknI*6_Q2F!B3OS+qKnuDNomoW_tyGxw z{md$oNIuZPj?v>}m2|SoNdiiPE+Lp^j4xE05tVTtUpA(_&v#gs5thjqXpZX$lTHaw zRSa}a5(B1Of`w)=(Dx5v%E2!A1QRq5^ijY{vDC9yrgxvEvRw)IMD0Q@<_t<2mlOHcMPgX zF|b{ir-dKxdOI`Sn7JU=%CZOiu{JWRG@+*>$?rSAvm@dh@i~U&w^l zMPJMZwIe*lB;1cg@W@P@nn446I_tMHCMO1yyPFHCj1o^9;65IWj`m~@G*3Id7XH(~!%Y`Z4diB?lPVL8bZ8*Q%iOf<8@w;MRrK?d5muDJtI ztX!%JJ9}spE;Tg>_;Cno+IdCq1*btUZBdyXe>2#5M;AFIJj-Gtj}hf0!K%TfC^(p! zFbBc*o}DaAWrClek`JNc8q&ZNOwrDGzI~?NT7lf69g^8yuA;at4mk;Oxwp3=@nO4k zF+kV^4zk>r-Np@gG*(}?R_vxeHCVS<#wcJrKL5ZR)AeJ64%RZ+y~!Lhjr3f?P5_P< ze?TSVpJcafymC358A5dc+xyPADb_-;5&Q$c?vR|wMP4CFO5~zlFGBN|pI$BATG*=S z5!JT5@^fAF!+uT27HSvA1d0cp+#Yl~PwM_^Tds-_*)bOLi7uqZ9f&`1;As&3z@5gy z(b1CE`_>goa_+W7#-L^-oYh;ad6;L9e_$|T?ttVr3|c?2qrIuS(!0pLjN|k*gn!c> zrd;EaHoDsti)yzW$a+%;jAeJC(7-4ho8e&Qj=c^X#l^e{xi;zuWbQgP4%$XruFD!X zl-LWWM%=MEbT%+#Erf;)vgcu#fOe4!Vei!x?P8lU%d}kJ^*zXoYotA<~bhh zUHnOH%^+gjr&tlC*p)A3_)j;@e->kHmfU*s@Q_KI-w-&hQ7{Sj5B)420e1s|@C?qj zd74TmRGp*vff_7UAQgXtZ6;UAn`#FK5X&xhKNfA->^s+iw2$$ui`*4+Qb0yM`e?+X zPe0W#EnO#-F*LgTDJ6{3I;0 z<*@HM*2I7sX|tdIXQ_!sj@0}x&4*)yd(<)snJf`%+Am!q1nI{v;;$CQ%e;OP{1iGI zc_xN*c$ti!0LY&KnEZLlf5ua6!c`5%&|iiv)L)!2_{a(op*8DI;&oFuAKyDoOz_EA zPo;WOPAe=E&hBb+`z1sZyzoRC>D#wYS?5Ik?_a-tkpaAae@0N_-RFyi^$9fV$+6l6 z9geBCsX{oihm`tUG_Vl}I9|I=TaZNXv`oMX%>T0sMCgaP_a!)pCxR*|m@P`ExPdZJOKo4GL!qcc|yK zD8X`~B^>m5Mzqcyf6_p{$kg$wAKLBl6k+=nme^S0&olRwY5nsS&hf_=FfXw%X0Jns z(ie6*)4HNu7y7Q-hRf5UtlS$Zk-X{M&1_+74!Ns2K!5LH-75@yB2_gt7CU-#Zqec0 zQ@H$f^|QIEoxML+zEte0D;(c%)y4MEAx~WSw;njWb+u${e^!MnkCymY%YMUip)1?k z`rW!|%YNh7U0-goVdb~ z3YDUfs)ehv`tPNOsGBfQ?W`F%8QS}o%;^F?u3bII3~1VBzurWzT+~pLg0s21t|*6B zVRrOt-w#)~e{#wcULeYFHE!Q901St%o^Mn|JzSe`;I7}6{-&PCm9!Cz=Z)KU0LRBU z*KY7CTCa7DqqMkp3{X+$uj-`;w})qH+$>W><&KF}v)>{n&43PDJHrllmER(izBQ8D z>}x;M7xOf86=wUrtK2Q6#@p*=-4>PWxQhmuu)@VQe^~Ud*TxOGD>j&P^gl8#+inf&3LiNUG(e?R*HAg6ILE5cgs{0O<4@nH}_uhV^xTQGIEmf z7|Zlge-zCpucFx88ypVVBg>!gENaO)Pi9~9NRrE;zWtY(l{gsC@B)kad?eU-4Nh2= z9ZTSppLvGGKglz!^pAgrwd6D>9N3P|Pv_oVaWsgjHlp=_H#WQ;D}9kYyaB!*KfROT zAt<=GnQRQWMl)m!ux{Ye?;BaXasJ!otN#NE0~3L*mtp4u6BjWsATS_rVrmLJJPI#N zWo~D5Xdp5&d=-8?>R zOq#}dR%|k#$2Rqw$KB@J=#TX<+&`qbkJ_#o>ih2>zxnJdlW%{@xXf%uuO)F=;L2oU zE;pn_TsS;E;)dUK_Yby+YPu#(qj6u;!baaEsT*Z^AdoWZew6Jy-qrUe8ppc-&HaP( zCi+9WtLxocf^dMqjc0-G>)mPFw9m5B>(i+34vMIIx_Z=h{joa8;jS6RzIk^Vo3171 zHYQHYj2&k-;4^a5ZHyt- zqKLlk?tw(OdQZ!`CmFjEmlKJE+WBa#hp}m~f0q55NdtfMkOhlt>oec;Ms|(9+cE6> zraLirc+z&GJQ}JIP$qh+wqw`pbR4^g1N#(x2Itcs?w;EpJUf6AQ9I*cYSvnW>;Pp6ixH`etU8LrFm%7$~WmqB#B?(aD|@p@9*bTXW_TY|55fq+imQ-x+T1HX1zpV~Mt zQ(@;~NJ>f&5mY>LXY9xv$>@C<{qw#cTa@z;&EXIN=EKFZhExC2H)>E$jl+j<=BDW7 zqho*7PLUP>+ot9{oL2P1(K5eg!X|N%s!oRbuaEE$L>TZ z_8dO2x`Y}&)|Uu8mr#S>$>O0A5(K3Eg}@CX+^_0)AH&J>CunEYITNI?!d@bcSYukw z%+chr@x|me_sCK=TqlXWch{~XF4-*eBD8K66!9QVTQ@2Uu%wz&*SIEj?Ynz7|&_vnCXc3v?(m4D=xuyRk@^s@6F5CjSO&7>* znr|LvP@jt;Y-|mZF5Fs<4ISTo`FQu!T~LxOZ0tauE0Wmd#b$fF`}X@}v%|x05F~$6 z6eJ%Q^tka-og6lQyZeh4J#)6En{oqPrh+l>U(R@fHJ~IiWo$z@Q>fI=pdcgbFRDqB zb?MkVz!<&6%|&gJI4?2;PtaZp+&@-G0+dSuWgsvGYgX`C#P-QZKTlRvfjS{U;5J3< zN*8GN$%+-Eagk4Ud|si+!D&1=xZHoFB&B9{jgLL{W{xgdB`k?EH<|i>*US51F4cV|izal7?u3b>T8R8HBz z*Rdihwd0~fhC(%Ue*P+NI<$X&rqtyBW7|>grjjoWxf_f6-!F$|+l;b2=$AK|Ij`0OH96&+gtx*?;A*IQDRu_g?^P1oXQ5o|ucT5n$BBKp z0%gF|bEV}>em|WmO4Gw?<>Jt;TBoYi_5|%h_2aC!m|9`3^?9|dN_KzEv2F)!59t3_ zYy3oudyOK0LOFVD{v#!69(qD76a!Yv>f)wLDjR7|kF`6R-|np54o3BMTG8z^F<=(x zfZUjVD|uxb9F01EJ|AAB@Z639L2{=DTx8RNdI9OZSlE0hRbZ08CY6do_onD#x0olJ)eRZr6UG&NuIeSV=MG@OP zU(og)NMBdS#1hgK8u8_8+R@&MR;Y_T>X$1-?h}X{%qhv1h?*b^?t8Gvw7b9y>z@HVJ5P?2aJMyNjr|5ZYHt1%R^Fv+r+Ta<)h66g+X51eK*-rxv zS__+4>7YP1Z11ohjxz>EhR&Dr(oVKwRe(E+YgKA^IAQKgaRCv!yMbDgo2@Gn17{MZ zJ~(}Ov1vnT#g~6JdX&x%&vvzXV7t>3mU~`MbJ)sB7k*_pfT;K)$|PrRDA{fWVBsBv znA>i~GN9FeN5d=$PG#ulSOwSNGexszD5?=3)L8R4EMc>Ojz<#e`K8(N01*d6Gg36h z?I3{U!_bZX4ksnIf3FQU4uftv&w6yKxbif1M_i);)P;ZH6I}u5ErIOifiUKhiHkL5 zpnIhTQ053B)Ogjc&-Hd3sHS|e44`ztYQnF+%2SP53}uk^nMRp96$oeg8k;3>U5uA3 z0E|3xE%8DMBr&QcKJo@zB9Y~)2?V;m43gPaQjhAgxs14|KI2&^uj}K>p_8crnU~Hv zs$L(5dX9e`VpyKZz+=?YsS>ek0X0L{fJ$UR=W}1NJgCIGF~KUPs*VHQO*VOqS-@ZF zp}rCCY=QQ`x<$P6Ntmd}9CtoGbn0S&(Xkj-JD#*xjlRqUD`_fm(HGBE(~<)~I4sNV z^kx;we58bDTpQzfFC%ZS6Y=14*|nx~3rPkM%w~U1NOFCJ_(4V~c`hwO#H#025jm(t z`Hoy=nxo?UiNjtyN;dvYZG{ajWD%Fr&wa>L&QOWbE zB+!3TiuQEQqdi(sjetmWBIh)Mzr28P#yB03>1YCVz9iaf{?P3?UxeXUHC|7b7cDG0 zL+5_kc@?AAEKil0&eVn@4buAc8MU{}%VI?R*BaK}yr(&}malc+%Y^XtQ8f8tV!10| zp*-&EFm=|jlP?TAlN8R=BHuMmHFy4OW0)$`fxodd)dI(Tjn^`xuFKKcZZ zX;+&omQ23674*$581Z!xYsw_HR=*!r<5j!TtEfU#LFEUvVc=WaDdo$z&~2<^)ZEq^-OjX7O_u@VDo0p=3SgPZPv9v?dRtA@sP@vaguIk@Sm^D)?nf^h`G#9 ze^?!NId6hX{_E$?)fRYiT#>DeI#=d*aJs_Ha8d6#JG(j8OJBq9(d14n{ID{GBVUK0 z4gB09f4?$?v((1>+4k*WZH_35wj zI5akkeLj6D^TGVLRU5u2a$4IpPiHx(tD!lZuiT=Nd(pv937HPJdjuw3!*&Oz>Qks2#NBGiCt`gZLk%Ss)k+Wp0;b=K>Iu zt8o+qF*r4n9V&lXTW{Mo6n@XI5V97Qx0n-2T?_1Cm#)LGy%fRr&=dh<(>76A(kSI( z6#efzyvUJcC-uF}mKTYn$aDR8NFLF1CXVO4Iq~W@@;t{wfqFnmPMl85+czgaou7RF zD<+{6qa+M{=X~tofT9p%Ck!G)XyBZWoOiC66}hbX@6UgK?~;cHZj-NDfV}f=5Rkyl zu4l!3)!;{Evx8Z=HQQoyo}M$%rr3wtGgcL8UZvs+6?0WOz6px7+SLYQna{RmUw%kA zlNm}y2Jg#RKH}-NMp)qs1>K+p-2hRaz&9=VADZi1K9RgEMV_g#&Y{v-ty>%?rs#Vp#1(w>=1K#nD1HMb>|@mKd2AYtptnU?nwH>F*=zva3>2 z+rpCWpi67vrgbTNzr|{(Bwhi0PcyIQPefq^whv9H)pC!7Q<?R)bBQ- zvSWlmyN&mD8?P-4?(5Qc|3Jvt)xvivyW(jh46g$NS9UtyBEDRSN>hqnjcfG z3rv4~UX&uuv&)aF0^9hhoPCr$WtF($pFVwF?>$YJN>nL7j@oanb|$29DRX%&@0Qd2 zwz-VLu0C=Spby7VwW&v*+R?+=!ohxwB21jXBPhnO<)6XuUwF|UkjUlPNMw`#fX2QH zdwqBZZZ+kmpvrX2Av6X)vHm-;DvCB<4%jJxv=KDyLl@wRk6)gO) z_|PPAZ`E+iWX4owZcK!dB(BA#6h&d|_=$(&ATeT3p>yossD~O(eV3V63G5UyZ^fd3z#RF%?75)hwF& zgYg#>Zu$Wnd(&%M)sAU?UsxgPSV7~5fQT3+K|mCM0IeiKaU2`Co@*LW;7T#Know4CU&KNtZ^SN!Gw4yjId$P@7SzJ)o>ui?*L!J%2bSVeXM_+A8F^8 z<^#CJ*eG6QqYz>N9RFKPE<8+E*rq8QiNGf9QE-HLj8TH2D_LUXe})nDFv3B+%&Jye zNNWs*U}FJZR%$-N%EQYu)0E4Wl{{so5GJ!=*^ryr*$9-iAVyrGF^R?_&%H=^prM}_%{esX5Qa6A}FjRs&;DwU1nN2uw8(T`pdzj z4fePWl%}8Go^ZHczt-5QcQdO#ijxHN2;nRgJ?B-Q^Q!-$yy{jH;y!;D+t@Vk!!EGZ zgVnt}q)8}7u@}@PnQ@j~mj7Hc$w!wuklW;hB$wqdm)urc{nC8W>Z?D(;XY5VD{j8n zl(l8nN~1idtPh_!JYLG0bP^2*OglfZ6nXHRAwT@TnImV&qa$R5xW-)iyfBw?h; z9$&EtMFDI(?Si#wR;hodkIi~<%qlL2yr@i-rNxxJT9tFshG>zjTUKa;;iN*scp)C9 zeztKUtE+N?e7snqd&?7PUp`%!sE4zQ0AY43&(?$@7lJ|2sq;F)#k6<2v2RodOF zNsQva-@jA+BRF*khH3f}gs|QVER|M^l{9Mkv);EgCh9jvz{P)bQkyz9oYr++@8%fny_mcSG|5F$Xj5ZBVZL}a`(m@oj8BsIy?ZFf^IS1lIHX9E3~&LVVv zzYyRZQRW9Ifu?5Iuqb@2)V6edvEe4v50uUQt*dKo5jH5+N^%S7GmgU;u~SryJpVYbmvdP)CURtFUj3 z(ZfJ&byDLYz?qgEVHd(A45C#F>%E8SOv(Y^79AaKE0o#CirU(AKM9<*^JAZjYAVI( zp^yf9{bSv|fmCze;_}Vl^hkf%mt;1tvyJd5^WIl|R|rmh+1o;R`KHgtw}ql*8U8P~ zg`y{TTWEf?OHfC=3}jMxCO|ZP^XU3m*ki$$x*pVAYn%VvDW)j#LT3QSAsQuyIVP11f*zT1%7Mwh_MX zui%kW(ZF~Uu*(OzBBhjy%1N|`R9RLPcZR!5i!)r49IfSpetQ}(4#CAdq}|As~K0NH5rP5og(RbKUu zhn@c&98*PpS9ay58mi87r4n2*QUGBQ6Ml;cKfw^AAmDgbd+mSLZ+D$r|1D;GaDDf; zbyFP?4$~ZQ%wvLZNFW>Fe^uQLC-~uLqfV9# z*hJWomh&wUjx-AgZ_iug*JWsQ?dFKoiQ)(d#6&E|IKR6s{Y)0ieq@1yxhtmQ+26zD zLgzGnZu_|mCsy9Bk1$I)^wHUry@4ENQ-Ep+nPgL(VzYnXh~Xlhixx}Hi~Mq-c;0<< zf*xA;d)Jf(34CwawL938ZQs|RRJOIQ!5&%FnIi}NDROI?e2)_Sc-ne?+L(e?lhG<+ z9`kCb0vTuhET9h?)zGx3YH0T%0(7!-pp(HFNC5hXk4;r>`(JluSFNkAYr6w7-2((e zlFw*F2+Ds9f(8+gnFxd?2m?;qX?~Bw^59yI6W6xvJo9Ja@UN@;_hAZ1V&&Saw(F|i z;Xw;0W^DY%gSbE0ajEJzj~lC@@@EScE3L)4zwQLw6tj&7TPQRFrLsHlf^*w`iv@=N z>#iK?75pKt+ey_n-7n9Zw)di1R|eg;fkc@^Sqy);$5{q!BhHv}#;+Gkf_468u@owQ zkuV}E5R(izx5Eu@i>1{0yTk$vse*@*M)_s_U4kOPhzXuSl%Tj9`_7$nww&~RN-VGh zxKNW79?}+wayns_7zSJi z&enhM(P$zAZ*p&kZeT6zTAJ+5#Xo%T6G%gi#wPV;3d)pQ)VD=1)xGSq7aTu zM=?4X#VzcOJHyyhl9MqKQCfsC#1r9D0fOucB|rtN_q5~wm0$@*ff$#RAWHnOI*ku4{KzDwY&fyMwfT%m%{Oi%`$JPMN` z+y;-(RGs@XgkHcgVR6i0CMWw3SH_s~Y8W0&v7x2$B!CRB))i3w=sw&V&sL3Xz}0_U zvvz-*`u*gi16Y+qyaAmbCSS_!=mqAHoB+MTQoCKfe)GZuC4i@QbiY?!8#_3fm%zVs zxZc~ipG=fi20k*jS6 z21+2nuckQ!a`GYNfp~kmuB(>AO~o5COVSfsgpei(pe&hW90yY+X#!@*$Eia?(j3VO zm57-A?*wZKtEal7Ogh;XTu4Oy_o&{$>p;^$!2|yUV-Se@Lu8-nE_i$na~WoVIR{v? z%Ynv``I%Eu$+8v~@_Bxp4{68KFT71fB$r8{uzPgobEodkfhB`16ogL*pp~kx?Vb*m z%dHgxqyrpsQP`hlM8K@EUC*Jys5RU$8ZgDv;nWSsHq43CTFYCHu<$GXF7NUOF{Mcn zp1U12`+%_t^>cx8oRM}clrut@f6fe>5VIb=+1XUxZhtxn&a++1jPw+xTTH;^gfxeS7+DP;J7+UsEYI*hP;a`2QhM* z+IzT@1RFkKkS)%IxRgphSN20LLO$w-joa8NT%FX))>-3_&K_U1bWs1Z6A&2Vmk>74 zcytq5a2WF6aP0E)65%fFa(O!|6A=jCG;~&k)m)y#INLz8eoVB{7DD|#oZTvA`uV&L z2zBPA8V#amgKsVVR%XY1*5hCL5Dw=_^*f7($O)o_p;B)HDUh%U1!X)|lImXy&x*23k05 z#1^HIW-j@9c)C1K`qMB|vkxKy`o;c9WsH&vIsF*R;t1^lS)oX{%d4+>C$QWIbV$Kt z*BAnC339YA*aUx+fXHbK59tkcjVXkYQJV@IMP>vwVlbJa=@n~Cq|3=SD*AUi;LbA& zu^4}6l$Ns!WGx-$w6Wk~&^J9ma_*pDhw?2%>OO|Lbbz%a+@+_bZ|bEy(VcakMbd zmqh$$!=n{YlEAcBP8bFN#PGGI^8|<74$=1B;b)eaIKSETdcfLMTnq*Tvt@U@tFrg+ zYGAaF)OOfA`(MIraOm_#9Nx7J9tWJ};XVp}@@qY2V2}%5QH4?AJT8rt&bAssR^J`zcg1@3)-lxAEId=$yu$gZrtUk0O&vv#@sYIdtR~t)<=n`SXK;l4n)D% zdV6pk6L#yqtm8E?q6p3PoWUnfY>-CIT9-HQB2rGtM!w5t$lp&7KcNWx#;#*pNxt33hBJqeZ+45C`q$kQCJ37rGliZCwwC0uM26V_=`24zni<)!v~GHghzsSr zFasbBol%vjDF1WEk}}PoUr$`C#pieS@?Z1z^pS$qnMpI#UisgN70B|Hwz+C8-pDsO zxYwAJ4|HFzAbk5jVFDx*uf zsXM*fwm3BagQFHW0SEIk2sv>#2Fz9j?a<%*12<<+nZ4wJg@O&c-yD5H~=%s;IwLHFeBQ>w1}6U>u@LJPPor5^-}6=C+F zo^$;eQSw7XHOq&j>f7qN6)=$`2Mz7-B(2scGje+vTNDw|5n$(N>}*>9p2{RDb{-`) z^uK2K_!CkjfHFf-k^8!zuwCM3=3M{>Ns@7m5zS%*ev{uQ=wPWT34Rmnr^V znwj94h@+`O8g@;>``o5_`MY8O!`VA=5N_ei8}uU3lC0 zHF>ml?ML<20K8npEOYAsq_AMYUA@s8j|NNxB zk4F;~xdw3On4At!M-)JFMq6HgnGx-`E$UxW1B>)*HqfyyeLSF z>8o*Qw?C}1r%62<4M4A4cz3VN#ki0_FZ2&CBb23i&I@1#f$-x6kO@bn$bf&mv$HAR zSDYUn7Ra|&9lwKif&BgTLk#8Wwiq4K-}0>{Oi+IK*1Vo1pA3@be8Y{nHfM{j?pK?A z5b4n|btQWj=KFE#uYh}*42MU)URsP=lCaf1?NV48&xUf?_4-N&U`C;(@w!tbA8%*1qKyAHfh5y=9suU1&lKRtOkiT)KM@aY-5xMDbL1 zfR#44)3;?apG%)m`aOr~^v+eSfejz8z!}Zzurvtn-OVTnh{d(!{L&0wI@X@k%fJpI zD-Xvtf{>4KY85lvmG+!okVOl8fLlb!H|h(Vk>*&HBakt{cIDCMHqE;;+k0allA2GO zXC@Fqb_#5wPB>^Iy(`|7Fs0)MRXK86A?r$#5d(PyR#mv!{MfUMPPs87+fB38G1m=^ zz1X;MR&q%NoJxQ@5V@xw2Rx7lUhX3s<-&*f62-qnwg(Hp<5{&xw>^76W5S1@Fx?;% z^9kzOdhv^;;rLu*GS3NV=L$AhC#rKi2tVH(#;8NR8y^_WC6hveBPG>Ry9_LfV})*5 z-&*eb8Eg20yQ6V4@8ulP*@Q^39Hc$+Mmt)%R=WiQFxIJ{K6=h$rU^Y4CeZrSK3U#cOZiM(o` ztF5#G5R6I^@n3k(wVy7wNP4obBBE)Io!-6AA9#g#FdtEk@05;*&LR%0jaECv%LFK? zcU47dmgM?ABwM};9*E=P^j@j#Vpv#jaD(FvzAyMImyiQ{?vu+D3BA(X%WT&zzN|Pe z=>*|dza@76R*3rn1SBT3?)V89FPo{BYqzlhQ@UKXFNHFDb{4`DvYa# zIt1#c4k?zH)tN7_Z?J%=jT@l~0Vld3fVbW*gC zccKa&Abz`ZCIIrCP%3ydmL<3%csxU&>>R1o51Te(>dLo=%Y2V3;ZWAlw=KM)^tXFj z%8J!zc_;+widb_B=a!#uCohY`vG3@$^4%)<8{fG%+ddt;j z(JP%SV3>2@SONvXn{}SnWrRwiOZq}Xq9%v_hiRsVCZ?7WUw044YvmyMF$>ApeTQ`$ zfuhm(eLB%krb-+Ar>#~$eT|QV%^N)?yo z;y-6CYftO58#_FMat;Hlln$3jEq{n%$G;rKHF_x6*<>d^pYi%XC{YWUN=!F$ql?TH z>zeMTe3qg3(1OIrhOcwvzFy<$2TTFCb3Mxv2*D(A@8A;P!7~}kPlrcNU$NzC#)Sr}nYzW(=s`nffTeCrr_6YG`eSP7dS9iR4alDjc zp8Un(C`LW_ywSgrkZOKH3wtj@56e%|9ZiXEuEa&&qcJHvgA=?Vpo#`=*eGOyLKhQ zIc$+OLWhhe^vdbimJ|LzlzLRlT9!VxZ`8CNkA5Ec>T zbGWq<(!j>-s_-hfVJ-pEzNRU2VO34F(MKUg#yc`Zy{N7z$gTfL4#;mV#{x-Z*tM$m zL8afXIZ!;pDEk>qV=*@eNJi;R3YAWj4{|et-Q(!s-&hK==4gJ~iFtPwqI>d7uixf? zG?ae&6;xiZqfwdks1T;CpMFCDFM7|o>8mSr1q*VK%7{!x@rM^JAcz1hKu92Q7lY(r zHtdxpX^_KP?@>P6wbJSE3Rt6Fi}*wHZ@OJuS_(a3y7DaN;SMth;OY$VNyKaF>PiF4 z!>rZ&ZzpM1(ii-y494*B3RRp0Xd?brZR4XOJ~E!LCqHt=-KuW!^LHsBRkYt&y1_#R zXDv@)yzVjYS6A~UWCdU1a5*`SuckIvIcpH%M*s8lpIp{|`ku4ls*uq$;*@X97U;Ob zD#I73VtQ@ZDQPPP6O;{@-vIiLnx}2xP{@f4m@O6Tq)qw5Rudx(hvqT8f40$Fsh{}B|-U;wUhib0#7o;ekwRc`oCk563 z&dzUs6Xjkz4j6$8Kdn-THo?p@kdvIQEyc@1Qo6nx;XA96$Jy?{tW;~g8q~*LI1*!N zyy>nM)GC7qR3UAE8xuuY3*WFmxJOd*=tO!kWi}lmztSBG^TP=}^j`Q=q)oE|xj8^W zk-eQ~QGJfv{fE>~i2MbOeJa)IbiWe-Q9Y^LSI*e21@6B^4aZ(~Isa@_pK5Y0fRRp7 zyMFa0DwY4ha>`|)dBrOSkmdu74&SA$aw_5$s20jWzb8f>-lDiaY-ORG|HL}y2C3&x zxZ7-LUau(E2!$&_s;}qxxuapON8r9XS;Y4_9(1P_#nyI;Dihne@;7!DgZ*U&gyYoH zg``t3v(X9+_=f%antd@eC>PGrO7(uuqtk(0b%=8c4=*`_-)pK~BX}Bx{M;|y<1q3m z3l#5A+jvwn<)ME_x?WNgX_HF!QPDI1#nX&Snj5mo2L+t+S$awjqG@chWQBX5ALBrH z<}US)c5kh!sCcp)5zM(wJhHq5Y#2P9;pXyX2g$S+jvf0%Q6_Qwx(ok3dn!ti$dxxx ztegHTOXk)QE$y@E3wy}3Mf%DbopwNmO;2DxO(UcdtH~oWw#?a^$nPmtnJ%p0 z4Ie<)%Jx&dh87AVLGpPF3+UZ4;Q13_yBm|q16-#v&gaYI&q#vPN#1ZJ0MYb`2DXM9 zwXxfYrE_s+V3nDBnW%=|kJdUtS+l&G%H=VSyf) z;@(mfKksGDyr193fdKM&Zy9o`{z*q@9z{8Hk5Du$2}*9mxxQZ zpT^Pf^B<}zX!8ekp8Y(A@qH5T!@r+IbZ7RAL=jk`Cd;j0Tmg@4DsFg0rRdDZ#1Er?x1R}yYM zbBUgdT2VMu%T!9-c;vAqVc@39dBS+8(iDy%wCzYhG|_7O=BK{pXsH{Ps1!Sr1OG+> zF0bS?%+)Z5Ps;3Oji558>LeAzWs257P_ouBpN>jri;$(;o}@O1&Uxio3JjTUT7zUO zOz~<=?@6$nGT-xCuGfP`8QOXLku1603vJjs}Lu zp4UzjFmsP>*=oxP$xHwEhYMEatI`LB*Cz^!nQ~#SA|qhYSDevGgBxNo>VvI+X%4?}*16ryGIK^C#s0%(`-t{_7e0KVU06hjVuHuWbVqp<3zH z5f1r%2%0UV%_g7X^2HK;epzE^Y{n%VvMHEW(_Vl1{baJ>pQC|MP0}HThY$BzCwQBq zSR1-5O$;2Np5NtwhdUP5gcV4>(fZ~u*`P5n#Ndn|T|;fj3x#GO3m1XQZ*LQj&AAo^ z+nN+{{hmLT0C4>DvIpwy_;Mb<0xc8cldu6Y{@rRa`0Ids*U;|rURBIHU|{r7VKkN| z=Af7$HYk$YZllZ!Zbr^6ag3j9{o1BmbnQ|7GW4WrgRs-Hh@LEA^3wTgx~6_mIz}UY zN1laN!BWifD?JoOU`8}lB&u&51d}X+5XQH_Hf4<+AQaoaod%^R5!nFT8SZ>y-+%ZQV2<%DjNv8gnr5$W2bxRV1v`LM^%?-uP~X>N5m zCEm7r09ZDB2)y&^K5Cw)6vR*Q7RIKuZSE%IlX&~7%cxsk&e{D+&^^b2+q`t3O~ zgeBNmRm3zwyPkzhGA!h)3`SlwLUuS_iYVO_t_aYorW^hk_SVeJPPlpAjv}4;tKtRX zqP^d`BbC5M*~FUAi=(tUqEE+iWT@J&OifTUz#XALreYBCBQodN|I;c;9&|oYpfhezsQkKOSSMjeg^dc^drL-1U+V)G#MC{W&I0u{)KNydZX1A_1szY@qz%%SKJrvohrI@o{r%&_G69n6#S}uZir6kSx?dwuTG&UB$FB z6$@>`kESDL9{W3DHoPx<5*apuF`tnHz~~Hz1tS*{N)>WveM7?yko>$Z zRi!wbbT4;Wh}{g>?kX@;VR&4mbQwHLx3kCI%2KX{1iyW$UM(1GAAfQ^LUBPp#a3_0 zYbkHl4(k_!cV!~aZ91qFB(X+?0pMQ?Iz_Ji;(uGN{d8;2GfMX%9$fOVuyBTz4V6Nc zw#EIzBX>>~4)~$K{P4?TcB23bARX5=Y}ZuL^XugvKXpUC;_cPdow5*0m`feusLog| zc4?llvOu89Z=d>Q5nG`@2*%t!&}vibSNxT6v#2+iJx4Ca6d7j4QmKZ+4h$cjl12bt(3r&C6&{Fp=nLiajH+~n+zj_N;PgjK#QXnFg})eW|~S?>0!LBdT90jC^!?E6l9HYc-#cqzs5!aQa5>D~wY zlojTY6;6@;4b?gmnC?axz@=i2dilF%eNwdLaMPLlu>H)nS~yyORrT}B>IIDAY>=#( zRl_;5H{j36_)*mj7hZf34#_TONr?{fT54N$sJzhx!)N9<$X#GFTvBnm1Sm`5Kb%ar zmYf4F2Xgnnq<4L{BiG?=B_kN8R5p}lV4r+oODIxgw`4R;BC!L=$<9j*9T%-tYl(Ub z(nw8P+~8i<=w7_JnW|!}s=BFEf)aXGK~WV)=lE5lSOB|q-t~)TI9L@vDhu7e}Jlv(ZVS-%S3!v=dr?COOXC_>Ofl^q5VP;wj z{75zWL9gi$bANgQUJ1g(6ikx`xbGunT}Lj7p}Z7*oTRQiMMgVO6-|Z*3kH;PMNr9d z$_h$N>5h0rsNbsz2Xx8NpyV(nBKHV}<6S~<0_PZT#L4asgJ1X417#u+{!XGwH^2@t zdaVtrQj@L-F_F$-bH;h)NAP742O)xjPK0|Q#~Nj!{UMqf!42ZvpG|^TlH~oR5e(uT zMx7*dm{#;t7_W~%VF*0~nG)cO4$uEVh6N^vN;}}|%f0{?Y?g`{;R%niUK}u`?AD*K z7U6kUAQD#A=nE!iIRNJgqr?x|h=-m4$0P|?rh^EJAOS9w7*8}!R#60k&65xFh59$v z5QBjTdcF@X?P1~fov~mvG+2y~Dm1nUgjHbwP(3%d@>6=n&a}Xc+9yCg`$tu_idwF2 z>(BFLTHl)UxE%)^H9(rLeZ~8M~@fyd3> z6oVv|=(Rxj1@c|UUS@6LKJM=8{ezIxqIrlHr&eg?a?{nDDcDtpY`+wyfGWV4%QB2y z1&n-wE0w5TlFdXZRS>XO(eHgOj4{BK%`jt60gQ2e@#B}>XwjNV?*4we(EGTq%5I7& zFcVSB4FDyt%9gY)#Ly!_==A^jt7<2oLccqT3Tem0`$6Gyd4b_GbU%Ia1Wyk=9~`%hcIbM1=smN3}P!axI_)&n^n~I!-x-Ww>D@ zcsuE6+$w3JF3X6(suUussxX_jG0ILV^A`XKLl(3h*Z4HNRK{DwP@a9x?IVat0ybc} z1wHJWk;6kB>GjuvOI z2Xoov!FHe!1X^|P_mRs$%2fSJLF2PQXA(O*nn9?wBW3{L7ir_aJ)4Wr_zcX2QZViZ zk+^WK8i8(=`!(o353(Bmq~t$6;v~(uC_{dY58r2@y{t{{6ZmKmt{5>4GIhb@qQwgI zK-(ZVr!x$q-skxAn5g9+LbbHVY_t`n@~b*iJIK%vJ0;4LYdUAnVQiI2?60uDB!>a> z?TUBf7XainfGAL??1#Y!Xo?3B2Xy&#q&=!pyVwT8Q6>6bp7H#f_{{n#Wt5eYx+G!5 zU)bye8+vl!t2o(n4os@fHJ`-k30(V=u=GpAI6`4UQ6qeHItS|y-2 z=TnD}5dT;8>L~E)$yYsh8IaQh?9J_Ix|+UXaQk#y*p@xHdVEjHVc=gC7%WcE_gZn@ zoESg7{FN9O7Jkcfu-pG-ILoh4vS@zS-IJro=J77`;kI#y0hU^%*TL9QN89YfId!%U z3pl)XpYQ%xNKT9Z2QWc!Tb=Ibfk{|b^T7d@9vW)Tj1sgmbsNT+G)ncrPnk9klF)(a zjBcoSCj_~0+-!XV&rlLyccLI1~2iE_k)3~@gn;F^tw_@XP0tT6s zn1=z*#l-v{zM0)W*E8~0jsbBK6%9BOZK5~6BD`LwJ8lPqUMhlRr(lAWP9+_7Vq(*` zzXz{$sx5iTLD!`SoG1x(53k3|?X~1;y?LrhH;;1$2U^Y%<7~bJO!a3f(oL*CH<$Na zYE&Pr*5OBu8*_6TW%_LUkq;=^LZdvzip0m6qJ!2qyFa^nV{Z@!QQS`u+)C|fD)9+XXlM(qoDHXYYHk%vNMd;*FT4W{?ITijn zZ|FS&7;?3oz^$*28W+KgEK9$C+wjGad6;{6(r&8K?z89)EU8Dg&~{YaZf(?7d%Byb znj5>DwRGe8UK!^IrEw`hh6Rl(V!hNcAD#}?BNaCHz9FleUO9xA9C53bM!$1FotMl& z*HXG>d7A9Di-5{Zkv^JTRl?@8xND!d#ve=qB%!ig=Z+3juM6LbH z5zDq++xdMb-64M0G|yF&;o%M;(Vm34GP8hQ2Z2ebsv(!vmTnV`DbG4xYz5*$^o$+> z)(g@uTc_FEN`}4sBCW$4k9cbke?K|p&gU)5-PDhI&SVXa@MNO-_L$4u*wrJ5DJ+gy zne6rjMBIq9zWT3kWix%d<(Dk7N~!5*2D_X5z$2__fKcb^#Qiys(2G=7YTzQ7gxcJt zFSF#|RC@Cl80N`fH!TsNZN!m4Yp*2I@2 zU@yXVH4@r1e2HJlvO`>6*Mne3{afGEY-7lytC1O4&ER|cDSd!a%lg-+XJL#0@GgHK z%-4X@B6=LwF#&yjLUS;z)BkHm>(J}>H47O?kaU(MuWlpYH%uhWa+xbn$u#FAr9{Wu zP!k&q{QF*o%LivpX@?P`lqg1e9W~cyCP;tOoS>~T&j-BeemJc^v_F+&6P+T(yfz?%K ztSIr;Uy6iUdT1+Amdy=_gyl|kat}f@g%;f_KyncR@9W40rOND$bc@Bxz@R{}6Z|tk z1Qb!etYyGoHG5x{{q+N+GY6vZl~H;Z3D0{@09h(fGUF|`B^Pp_;#{9F@xjQNlB?bZ2=bnvLw6cu4?Qc8mHA- z5Vr4Z;2tFj#JU)?h|&Y>m&d=Coa@!+b_l#{3}QXRN*T%42Oy3Qr0;emU?w=!P~u^VZzEoK8BSmSE(M1R&Eu`r zy1_DYyQ*w={~2k$ky!vccCfS*`7@)#jlxyXF zBN|_U!AxifCrbDTu}k^~cWmJ>ZWLF-BHPsL zCQuwlVVXd1;?x+Y3cF`rf)$F;G9vHp)lB{|%vKwC!MV32g(g&PbD3_~FDSWzNhA}~ zfIm5J`ME|fys4+EYS7O$vZr^xOBTvq!m@$A69x7FFcrg)B-!*0tEJ?{Q=zwiU5=^9 zD3OY`qQ>5`N`oK&#^doXl$J2)$jR8|il(!sNs8DdEf=(6Kv?!{r;Fn3$2i$w;f|MB zrN+myW--@JR()k2=~TkwMZf2QP?_Zj9aH1ZJZKU>F z=Xytih-Zo`{cnvAi;eUD^hz_aa1#Bu(?Tt#8+L#ZUHpZ27(XeW>AM{tL)CGn1hHPK zIDW$z&(}AhV)yY59}y2!1G$cJzcEu#o#!n7s9FV47-@m%MLDoBht`gmjB|laMN-8$ zW+mg;0`Da8;scv|3v(ky^TH8z!}X5I_sln!o;)rkdvNb3Z%I~aux zsC%$`D(e5ZK!6zTpg$W=O9jklQ%M22k`?8h213G$4ByC`M~Q1n2=3 zkbC}L=-B|;3j^%Y1jA^R?E<|)2T~+~p|>i`gF1u(-A?|63z}fc+`v@@aLiWjBrq;j zAXCe~FyaJE(GnQE4vyY>r2sB&4pcn@|Jf?t0?theTzvq?XiZ-S??3{oeEth9&%o_r zfo4V!7_Ao%;8rj|xP^bA)hGC;2`ERag%L!NBPdrZ`~n231W+Fbk^qN^kr9?b+{)R- zm57Up<^Se0u(AC&pMe_Kg98Z<@N6|k^~ke6S3Tk$KV+858aGq+inkkCAy~hcbf)0y z{d!ylk%~_?<+@wR*~pNF4>SZn{py(C0wIUBi>yH2z|>w0qw~#+QD&;{o32teM<@R?@>*$FQEa|!26gApWP)c7 zne$M2*<(%~;>beEt(s8?84g2P0iK$vQB2=2wY31yZu%^B%lZ&FRu(4>&j?TvHBYo~ z3dzJ}6lhnJCZY_%1s$;|zz+img@>`owQ5#k658>B!kBmU9L^LB1WHC=l_iZb3=9R0 zp$M8(v?O>iA9dM}Kq1%P-th&FKyOKjSD8~0sUPS{EIDKibJTLOY#j@cr@^G~&3Bfh zm{QqTDYvyW?UZ>gmKvN?*=q@PPzc?5#$q5rsxA=Tf~`a%|4b;t00d7>DNULcYvhna zujmbM+Le3;OI|miqAH{lV=lBQm7xN5IFi`_iQ{AWAA z+9IBFI;MbC-Jk{5Z(a4B_3x}aUD z80C39VnI7o=LWDfK%J@c1t`y5RPTZ(`q@nd+@{g*Gh0iM2m>;=h_ z7nfG``7mU)e2?#|+tcKpbwh>Ka)D8;FKe$RhQPOOavVfI0A0CNB0#;UgJ|iuEdw4r zk)B|RE+ygwFzW5jsGEj=p$Ulq<0$j}qQa8g>*1;aN}%+K;LfYQf%`&rS{_J zueFmd!}^xv;={WscRR+Y=hXC4-XDrwfB?zX3%;wssHFp+G7{l@vZl zu~p34PIarPK5B^0RN=SyICU_y*OGa@~)};-DRD;0SF&wApqIdTY{210;FIt!_O$Vt1SCMB;a3 zae^;L>Ux^j8CCY!Hx>TskB&D-P=3Z#FNVrpjM3uSzRk8GLs*K1Fbl#=>5a_YS#6?* z?#G-Hz*@fSqt&H5Vh&SkPJPi8WakGo4|ryVC_IEtEzPxH1fy6YrzoDA3N@?bIFV&3 zX*)@fkS%k@`v~{u3{r|ymZrCrRFsz$4Jd-+7K$8EwTx!8Tb@yWRx%k7fo9JXwfNqW zBZIV*Rn+0v^#T;~0izsFx`d<~!yK(@9eWNrV0yB+%#tOULla+{*g3GkokR|ahJe$G zv68mjs0mvRjHhKYasnbTj4FYmG>%o$sZ{mS!^jq!n##Dq4gU=bFl6mqv_S#7*w4#c`Fa zpS$`+bF?w z8Onj62(xW)g`NB2k2Hvom*j=M$IF}c;VAQx@JLR3uMlKepCl5f$+`tgx|${)W?Gp` zbS3%}GkKb&OV>||ysj1rSW}jsWiB6U0-X?G2h~Z|yp45-jr$F*H?)JQ0EuERD+B5Z zYvoE@%hjphXrpYgGv9l$m1sn6tjmCg17Yc_gd7@#kGLo3g}CH@_j?C2XULVb+*O5@ z(-^j%?)MOQvyU|GYfiBbnF|IB)*LmZCnW4Of&sA?+oXBc8bj{9BdWsZ!f8UR%tqYp zHiJzAuP35Ng@hTi917BPye=Z@WNL6{UALZ1@!9_DWIY$_418c229kzw@SIg!8|BK zZ&Q>a;r~F1mKo-R<}@H{L`;j%!K>8*-peyTNSC^XHRF&R-_pE$*^X7QD4AWY%$<7{A!}lU7QViuL>^xP37CS_P-S#|rms0XOGyg-cB~r@%7|X+lzSyGMOZnkr`REPTk$3TAChfsIP+5sZepA z2@5`H2CJAh{C$EL*f?TZSDu(NEsl(dTPo3ZRR`NOfN~BXz^SW?H4C&DGj#=SRtCLt z0&R3G&sg(!H5B_@03LZLT`Xw+K5u*>7$U+cI9ZMy{#lBoTU=wxGjAjnr};=kNchM6 z7$h*Zl{}_dbmp}oatjEpYxA$3QQzGX%G}Y{U#(hrmWMk!Iz%y2j0IW*C z))$3gdk=yHD5jk#&T_fZAw=PsFo=8lvk^rSXs=J3> zFnd;r#nkZNnSXUkkJ8Sm34+r={KGVXDSoOs+HkcL^_k1>EM4E4Y}48YDDV>~YTxlk#3;5<4Xxy@t#DU6 z_NKCLuTs>gJkH@`>_kBid(+hOT;w3{3vC8@dv&Gh*BnQ^?p_TaW?gr2^ZLGTI(&a# zzFoY%9SW;@Tu)n2iZW(q(Zk_W-`s%@^1Pal;bY&jp*8SCswbxcJ%FR0j*{zR`d$F% zx3(NWPEN6mY`BkyXkK7W6-DFO-B#41mY%B5(Ov~VAj(1FGUY~va$?ysx^WyV?#rKs z5ZIeKJ8^P!;jBym9DR6r_~(&dIXbz2XyW}fJJIL>w0IKZ`t@D<*Mf_7b~4IYUq2P- znaouwP-|=#SU)-G&6J&+3`mV~)~cCUHh2KsSNzrX-;6`$&p_1}$o#u^;x@+T_jP(k z$e?|A$bN_yKd2EJZSqgi&RXR=bZm!nR$B}Ivvu$PmglSbC5**y1P`D!K#dJM!X3B| zpU;|RXfe(p#bN5C=}iWt>`VZjm|QseFOL{%{r%pv7=8G)vibgYR4}A2a#dZs`FR7_ zGU-+ZDcLR&cNXWN#+xqZ7S#~-Q-mbyoxok$CFCRU+6#vdUvr;eS6m#ty)z65tM4n{ zZTy=%Y-`pw?rZ+cJsnNfuo%=ZXBO9VM_vAV9rkigUv^%tOz-Fs$oE_OM|fnmt6bCaCIIc4g*C_y79inSS(`Oa*KlzmHy-o|}YlLKDp8^Lw}kTKEYbu>}Akp%kqg zU=$m@#*vl%?v`S*PWJ|Zy`S4?vv$B56vUmWPW-*BKU9A*N1(lxj-9I(am8XaW^=o} zozsT@RD&H<79D==e%}7VCidwsBy|6@H}Z)3(WSFpxONv`@WXgiC6<6;BNRR0qAr;<{9JVrXSll6O6C4uf@Um;nmPBw#tpYlp}l9aEso^Wz%u`7uIt>F&cg z&_}@A^F8@&=)Xo#r^>ztj!e=2F|b8N_V?>>Jt@oscdtfkYl9X#tajr5CA;{`Xz!1? z$>>0AC@1;D@3N?5Jb&zRRdtU0O$YwJcjw!c;?{ter4fp9w>I(=?oP9aos&ZxxDU5X zAZ#B|n%)s!?i+;E77ZKdggg3d8LzO1Q*OC{cG-ZM>4%|g17-`|> z;m(8ypZCM7MG3i3m)EPmmi#*Uoutsi_}j>H;@RvF>Cwrkz6O|pJPulbvs1>8_G@PG z*zuzy<1e=NgmGi0Z(4RjIn1N^Wm|QXy3FO1Awe(x?mSCZe>NRC28*2qSTLKX0{$}* zPtu=0-{T(=H`mX^UGy;pM5xhJV}fLeg7)D3)3K?LH!xK8hjKUmo)52afib!VDhX_m zf7!t|y-x=0pxev<*oq}Am2oG)9n8;WBKt#7LIF>|m#^A*7k?%|%Z5Lmi2V(szw18w zOs5(J@r@q~Or@_0T}Y=FPG1DUy6;p}tj|}C$Ez{}<7CHfJh{A|!@uDWas@p99;<=R zyD|NS&uS4t5FNONO-RlhsMv;9ayh;?jc4h#a!->f%9sQIp5uc_%Qu&}iVHTG&$s)h z$9=^ckettFH&ssYT~2hP>=5x)PO=-1w;s%>?a`V20iVxXVWs0xHE`j9b|4DhVeE$Q zVW}k^mRt>ie|?E<`3x*){)|xCPix_xmG-*R*UZF0mz&@-9|JUT1@dmVB3kSnhRGB z*MAo*Q@Gg1O0O9csWvW3jtm}83f3FdM~Kl{JeYC9(H2bqRBz_#8o=2e+E&Jtkhq;*`7F&& z)~x12u|<5glxaJrss{+S9X}!iLlQ3#2_#O^2Mgy@^B9*?N$0N{0IA%Z1XqOBC4&nC z8lMm210VA+$M(B0^LUSYX>kgVmZj@CcNogb?xAM=5}qNboZB?f4pS*|SmvWGN}5|d zU!4G%*nD42PA&eDXz&$v&x9H5^_9NYj}_b9mAY9yR|oxX9MPrc;K*g=;CR59SW4;ZyDZl*htLGJRnb7hh)QK!Rf2A+ zfusaG0g4~a4@OvQ4GG#FQPSZ^pCq$s0pHEn%j%ymud7RcH@hVkhn+(tRU~^g_%n;( zh^^*47L%6O69G}vO$dj7AC8+7+;B}Y3G5KCA66MDSVkW07+a1GUHf#f?n0Y9_#6N; zJ5Uap3cl}Ed!?7)E4QyTCJ50jRa=q#9E4TyT8*1plXBA`n}&7|dn5793Bn0AW@YQK zY_#@4%`utvpccju8P1u4jjavv?AL*zSuu<%er_4jjXL#BG3jsr2z4=>EVxWbt^MnW zaXDf1rb8wv^{0L<=oKhod&hYCFP8wPybz`R%&yx>xX9Nb`&UIYk00(I zJr8KkLwi$y;iKE~XaO(Wzn_xM#y+V)+Lc(kSzigTx;xMV#)(*2`ID#tQ)$4{vYlhg z+u3e>V?zCzegic#;PS|>?im~=yPQ41+(VgC|FnJxm#@ZAdA%oFWa2P1M_!>0u>WFK z_R5cfu>&YLkYQbr;n`oy?XkGUVv0=L|2eN=`~u`ZuqC0u+F=9Lrx-S&O5i_;p4Rcs z;OHp&8E=~jUJ(~GF;=5+IRa=+Z_;z}loS=kX%Gc|A)U;X(co8)KmT z)9MAM6#i%oTq1d?7n{{V*G9cPYCL;$WlL);#%02EIQ8r5ryyL&D;~|*8g-fN8oqjn z8f(Dpovp>X&<@ui4~uSgVQ0N)CnWBn$NOrz)kmT~V*8tQM(~HJ>e+DGqC=xbaYxMFQvPe9Y^mJ*s?+ zdWU!bd00$v8n%;6T{=o@aQ44|cO9jbkKcPJQ!7*~tp7AIuStZ7OvozCSn}Nd-|F`Q z;xcJOF_!tNGu=N(XOj*V1?N^c((lEX*8mK}y<~_|+yQDBc>@F-smRl&6&BlPpQcP~ z_23f1f^uj%fn;G6SbwSz68^u6uws_)`RI|Fu$jbAgnawI=+Lr^EHPmDOL6icdR5wu zYyvLuCM0Ah^T}}RHEc()s~*cZT&mX%kd)@@9F4-NFI&U30rQR{&Z2N(bYUdcoMvYn z%!u~hOFCFT8mxoiMHJ!C1wT4&>s3NdQgR+5Wd;&sLqLq>x$voZpWa3FE9nEx*!`2V2; zGcj`gM|x*rZc$}aWMpPiWn?~VsNY-gkorYWtgU|P>i0ro)>PM$F}>gS?GiRxu7v z7Jj1t|4k784fH<*V|FH{|6CdJg-M5KBlOWbm*ebG?|EEnRUPk4t5RTlb49Tll-eq_ z7>}h5tMTUl3TFbC{gqfqEZ9ga#MxM}V{ai5{sM`G#>QVD-8F0p^F217oacR>dFRRd z`-zDBjfq$zG(mHfASy2xg-M}SMVfsXgNSp}a1<`W8MpwmFvGbx1eT}aJk0Z~e+G82 zJPXI*9F*Ab8`P;ZH2PoGvvG>40d@k{4O}obL!bzU73^OVVulyX}IS@}c4t~TxEa8Qs zO8K#$Bdx&ggWrB$v?`{=uCa2qPTz>B%A@?wcyb5uinhfj47f2q7q`;uas z7n3HMH?bBdm({Dh`RV5@3Q;-0J`HQkdVCtu*pCgLe?~Pbee)@!(ff=~S&hCw@+qg$R>`NlM!zB23V&GIeqdY3g3|dYb_N)! znr1-$VtQd&_)O+Jy@ujLBk72-hnt@Kaz$S0@@JI#uKwK9$IS7F#w}+R7KuESzTS?i zER=C`O*3-{teT#_hJZZ1!{zzE^j*K_IHh%rlQ7AO2Gs<>M2G}YxhxcuSB5i7 z#o_0-T~FLC#wAr-^0zxn?*8+~&xI6muhz`#=7@>1Tr<1L7V^oLd7P&Gf%&g|P-_i3 zMV9t&k>{I>KNt6`E|-3OPP>3xjKYfZYgkkJva!9e*b$XvvO-~= zqB{EWAZq@~&Yp4ZxOYa3e*S#>`*CltbL-CEJyd7UzBwCzbF%qfxwE>dw~t3#K@mf~ z(4pIxPnit5JsHZz097km_2z_DJGdN)s;WzhIU;;`tsZ87w zIb{p5m(C>O#Z%?CzG`P}(#kS}G{TEBkz<^0bDN04VMmUgwwt#UH)q#Li7|(Ie*Yi^ zr%4?|45;Wi$#I;)nKbLOZj{2@Dn2$k0B*u%H3i;cI-kJ;$T?lsBSxEZD+AkZZ}#(_EPh z2#u#DL5*|7emhc|RJRe$cxIZ8oB0n*xpb#99nN{NGT!f5N&0z1f(+SDNJ@o%tkk*R z>Bb8#Dv}@eV5ou0t0-BRb~7#Xq$>a?hke&7ntp@Sy@u2$xdB8K8k5sn@~&^+{2hMU zm$vLrzc0sh?zb7aubdB$R5#Thm$Pza=(|You6zpez2A4NKFw;Lq+)M|CuUKSlqM3m zbQiDA*TEeGxmY+Nl57N{-e|B94}ClPrt0jSMgI9*F{HF`f*I8B3WCe)Wn+LwzNIWy z!D11I2!%vD&u9hjo>DiT91>TqO)*-dCeObU1ZDkCV^6Kc$@=8cMY2P;R#SS2O50~c z7JFN4Vt6A%qh1-+gU6|#Dv1CK?k3P}kg_bR1i9Rb)LazVVVqs%DiND0FCnf3wG=K9 zFgde51|W04$#>3R){}PBSsMU*B~h!Gd{Cw4zPAng;KW&PRxBQpV|g<(sfo;3{IRx8 zJJs^_G&hV*CroZ1BV_ztlEhcLsAwaNOTKGF^)0$KTfM010P7qIwgQ*!-i8ngqgUS+ zBy|=!NoW|1eG2gbuv;+E@P zaYwo%-M;oM<3u{ovUY79Yxy!%ovV^0$xC7>GvFOKLt;22)1i!|Y^Gw|#NXJxcWv=B zf-frM*z1fgI!(=bt}zQ>eH2Q^#|6UJO-+rc7K%Q=zeLudhWt|DPNJd`Z6UT}t(C{b zLYqIPZ$t`7UeP_EQxAA+Ez!l(LX=(59B?5!V;?^0*~(r>1&+#sWTmAp&>IT>=cZ*e zrl-C(Fa?7HLfU{&6@lz;Zv&l9?;JKI$>X~M+p!H^WFi!B(e-w^>75N`?1A{u7@2?S zk%v(D3(&1b(PM^>ZupZs`DpTIh-LBgu%9Tz-5)>yd(@@5LyVDnefRINQTcaSOp&-RvKl10RcK9| zIiv|fXunY~za@YztaBP|F|L`DZ58T0ZH@r;^WDRE*!>->w8YESPe=G4i{&lj$>qWb zWZ@NM6DPtoBn*F3FSH3FcgIHc%?&QTAnukSYJR_R$gO-~BiePo8LwaS^_{dn5p;T;0n(Y5#=(l}n0;+MkE! zX^_j3+5)e@akHv_tE+x6Tms>3`Q=EsijvCFXHM@IU7MZ^nbWC`?8Ae#^d_vy!-~1H zO>$UY{>WpBmr#p+!}}ZeO2~h--{Hifskxu}ut)+}qR5vZBXLaA=_(-Bc(=F!rDwOr z3I%P^r9ZMh+mSCGGJ8@$G6#{P&o7!-ZxT;9jw$?ZH$u14-$(g z+qr3L$^|ESe+I`c2I+($ru4>3o7XC_y(sg#IWZRM?al~PvVLnL02ql;ankGQnWN`Q zDM~TLF|C{Jr#0>+F?bdwUtYxxD(P+`%86VGp}he9s-Bd*a+j}lx45(_&ZiG$p1ksE zb6F#F5smDiK{3nhFc%EAp^P0|0fESAmR5%+7-zb-{y;t(aR#7Jt*N2JH&f#T5#-wbE;u!_W5jH!HNQr^kX4gOZb zjDG-Hs0T4vkWe+Hm5!i`@!Nk@P_y$>O2=lTE747A=?ra$9bP(Z-2rIxN>Gft1|fa>%3L5% zJJT^#OfP2AF`vUIk8WOHf9V>=B?{*?8-4+$5~;g#H5tRFsG@iokrU1hwWpgWl?LOi z_tpxXwH%iMSBIN!dIl1KoUpd|j&ZEE+5Wr^0vlgty!6h%QHIkLB*b>A^T7*vGZWkz zh5H@HEZY@*of7B1>@5VPI+%`=C?`jPq0@|&b4*YUl56vd!t;7h{oo6U(3_B$aQ=X2 z#xkRbzdkd-?S_YYgL!$XL=a#(2tSjWRdUtlKfma2)TBkc$zM?a^;lUMw-{NjO4W(Q(kQM2ruoAl98$8T%OBlcNZm0}7Hmsw)LK(VK4|;FU&S(dhdMw=hf{$R z9(1q^y3r&UfJEH%ilX+Lc0LIUxwNQ&?R-0cQasX_+c0O`e6b^&+|wqDlu4tYV>L>d zLAve4a&Uj=pOJoqEfs6f3~_M~GDSn=b~ga=46KPXTr0-$01w#--0NA3aZIA?y+eyC!>cif}K|W~7+IZ4lek`~!T#cI8V0fs8wMJVkP9Qvb6|riZ`D6X#Fg-D`V*ZYitMey#i98faF8c{3bCNujh(ugnHbTa+PqH&npGW?j0O}=+HN;IB zku*9&Vj>AYOg?#b&D)r$p@lQ^)1Y%OSOhvKUea;}zve08Le+&gj0h`jEP_Zb@ znWVJM3R-IXtUX&m1C)~lx?tH-ZWFi}3#d~@o)pcrdi*MeKa@=nnP}bJLy#5<%Is|W zuv|q1j%>m3fECEZ*R;OADJV1_jrMXMuqE7UVLlO1I z^_jy%iH;$&DxUV%Lcx7|qtM2QlkA2FR5A^&86G{&qxUOe_jI05RSCI$z#K*g`xiyCWDFY%h{KI7#9~NRvI9g}(xOToCeouU!L}dLPNW^8Z7?g&)tM_v zISk;g?g?iDG^CYCi(!@+qx4t-z@4DxXrbTwZj|Oxyt|tm{H~uyWjIQgAsHk!D1&e9 zMyx3dfl-KdSa4#}2_RO|RMpBw2P#*^b5wkS0sDP`*Ja{hm$|eu`YZ1k5Sm<#!%#(? z+kWctqLtO94{6I56ZT8FJ!EFq5j5p5U0LZ^oQBW&;==BAhx57&&aT1>Xe#J5`%o-X z1Go03tXo)W(ZrvgIhhTIE2dDN!!(HyY>5yo6L8WsYZ8mAB3Vwlys?Pjz{)rovbQ&Z z2~HZMU+XQ7`|V`qmDQ_CPtoU7(C|0%*QS;60G3TNQ|p56j|pea z?4XEWw2gTvyJ4R&PwjgEG*uD*?nTTu=jeML4pl%L$7$z9gpg{DkfiX;#Z_qr~N{D+c_%(%(z-iXJcH6o;1 z+L5i%<7Se{H|h3ZXd(#)SG2?Pyfli&=#sN$7*yq@G@Hb0(8Xg2aMLsQnA*63041wm zDia#r>xRO%Q6JCtUipMcGV+eew-$@2hfrboWCZrRA451kiPUe{xhR@XWn+VhS& zOF!bMOk)th$jO?^g_i2rct=ahY!xE+}_!Gi_E&X=D>U-EbOfPVF z2~UYRc1B3bs@B+bG*io$;^VQQb@$5WW9b^`A9qSGC^j6a&NtJ$(}axoQE|={rzQGY z|7U|@+Xc)C9CQO~JnyyFRJ`U2SgNLbI7QE%#uo}Bmcz>spb^77as|6Go3xy#4dkZQ zuV(=d7SjlP2-^W50~&xC88hE+>3Y@5Z)K*tG}G416+ly@ENgPt=pTd$?t7`39~7|h zCNoH-`Nae6Cf6ZK!h560xe+L7^|pEpVblF)T}_7!4)?9&2K8%@$SJ$fo*n!zO^_Ip=4a>VNdF9y4-Utjz z_tJ&JNM|tpmodDX{XK0p^m|}b1r_j){z9yc3$Z8A+#~!3MoNQYc^jN-_6_&=ys*#R zvgEOC^qZ*mnbc#y^0(%pD?iU@!KgB%!go;&Q*$tC3nPu;Tv0bzI zormCp(R4Fl8qYjpoG1NCS$E@I`%YO)ataNOS;5~go-o@C)g&+idzHRW-XsD5L`Ve) zNPAGg)*u9wd|rxUzt!;GIMO?TV1Xa)CZEVcV%+@C z>DV!e1)y9RQ;-Of8Q+1UHY z>q9{FW|ygpuLm*R2sALSc!V9A0oS|#(U~LK^o!q1vZ}aBO<=NXWUBWcZ-eW{DiB55RiJ%gzV==Q&BzHr z0e#CoFIMehCp9natb30g>DOUK<_X38UlI<2om<{^;s{P1KOb1MFGqO4?$;JukdcE+XIf_ zzb3CFfgCd8Y=Gc+e9^oM)v85J9$L#{;lPhsNv_4b%z48NCfvWmWnMpDcs%ZV)+gEv z``w)!H}RgHZDlPDk2x43n-&v6q+wKbj2ou@uuin^F5pWuO91 zu)G{=Tfm*(jyOm-!}sw8P>%%ajuuDIp$wDrn4jJf--Fg1++B4hstA3w(F|=BoBZ>l zJ%D9Kau{*mFo)k&)v~7lp{QRFH|)Zr?4UknIs-}NSeJJ?$tn<6@Kc!Uufxw zJGVE+ftD|@)%|{GfSoQRn?#v3Fhg!Aoe8F;5OPd6J30`Jr<)rZ$Ez9ob|BPN_>+S#TI zBKG-H`;(}lwV|sO?3=#LuC;mM_N@J3)ApRZzvzGn7!ZeqzWPUkYC|bytSJqO!HA7I z<5`dtA~_PAjncnsFhV_DixG5DKjS!Ow|IjSCL3aPS=RWuy&N=V)Oyj_@~se7@lFE+ zd$ddYDH(dTb;theYzE{AstdjDg_a3)l0&{=KMa2cu#PkiB1q_YDX?eZRvKUu0lvREkS&=oomD5AR_|=P6pHVZ!auHamlwdJjCg&3mern&#K`tdm z5)(xU^nc(vH3ZOjxGidBX00+xDZBvUWVH&E@Q0UMUZm607fz4KK6~ z%YhYDx}MtJuSk;Iq$u9ji%ae$+%(&`j_Ra&AY1=4efBIi_cw!Ld=K2W;M>*&%E{}X z&kVls0rLr}3=KKSC*5)VJtN)jMe|Jz09!^h?AZ47v+(fv50xDsemoxt>&HLqqsL01 z!5M3`%)*w5vJt-py7(UtTfKyOLb%3anQs*P?;RT9J+Zq>WUj*5*Nmp#b2balGzQXf zfv|7h_5Km7EBw?~WP?G>vrUEl!z^KYAAio?Rqy1Den_2#w&Dis`9Ldo-sdh5{|pF>6d$&XSEXfqP~OC6z5tJk20)DP03cn6`jjw&+{^ zbD-_yYb*D78A*g)_GcS5_TK0B|2zJ%{JT6F9dAQd%r^D6cb6?6qjFW?GLp0-=PPQv z6+ZQ`$G93Auo%XV(z%xqfPut#L~dtBs&ewg6uo z&a&&Y*_Q2bm?lKfnG)QD$6OJ7YwU+_`dq3GxTEuO?(7OZ8b~9JOJeeiKb03}N>q*? z=-ROInX?&bB~?I+JQ$`M>eXwiz_lHDhH3EY2^5xHt(A@z$u= z8A4wO`rWZ>8b!2IS&M}ijoO~{ch1cucRu!v7=o`}*Qi2>zbRPu6t4nV8tlMH_TrpJ zeC>w*gADILQh>(=IBP6xHlAN&kMk>DPN*WL6nR`)+p{Y2Ubhl&7AI*JSS-PWPDCac z(wvFB3*TsuE~Io@STZrPvK_J}`8V8racMp{$j!ilWVwt#LUjU-tczq7!a@o*6ldr{ zjg&%3KL$iVb!>4b3FXC`x#tw#vS^F~Lk&V_F+4nkTSx8!08R+eOSYg4tsOmOzdT0c z;hI5Omw=mzG)0B^Whs6ICrdojIj}&F9W5lZ1l2#)RIj7GU{Hu*Vs>*ieS<}ubGLQi zd?}b)fJ?(N(B2}cY9zm|w(GBgZ8cBn9P6EALK&Fib`VmOX~Nt|j}g41ABlQEhF~B9 z9&oX|D>#S%kZKRVJOqeFhWLt+^6DnLjW!Ysn_$CXe~3!Fo7_?cURYJP+dAWzU2CZXY{f%IcH*eo!SANDCv;1 z7PT5W2OBNux6juDEpwEqGTIYmIz_X)06N~(upB)Ad}Gze>ppD4>lznmQKWEkXuf0O zk}%jKp?{+MM?Nf%%vE03a^iRJirVt_xTd|10yt~Q$^+s9eTh6_;@QWxP2pSs2*{?8 zhbtIYc&k={RQlztf?U~0K-KlIK$ zFUu3@yt%q#>PX>4X{F#hv&OQGD?_?`wqm>;b0=`}oE}JI3Z=&kFmWjof;od@sU+ z3Da(Ylz)1yXJU!6=<-yBDCqiG_3-DjNMIvEX6*;PaecI8HjjI?sW21Fyx+vRgt5ehkEj-k$JrC%g9Xya!I$9QvJg{T{ zSB)bCI``YAWtX)CUemCFR?dr|LORv`vnheg2tj0Tp4#M6(}v3G0h4)ZHfK9`J9;in z`~L5tc8H9UKojzr=h0p(3NEs9tMElBj2J!Y&rpQ^exwx024=&Jt>6%#P2*=8k|qbT zqXe|hqqW@iP^cul&2@L#Y~z?*H82X`)bnjPz?)5e-4^Nh#+8OG zl%cj^F1|txvs;Yk%@HL|6fH2hR>~^&8nW}_e-ubd2Jw(u=6c}hFHCbjv(yQ&4Gr$x zy5><`BX#6_AM5$jVZ}OPukbEm%=J!O@Lp3fP7TiG(<2 zMC+tx+zqKz%JoU|M%aiu4)F%qg5g=!RZU~UgFb}YfwUnk)}2;6vK7`NJOvzi84KwD znRnzAX-7j+PKMsM+Psmm-SAcGXT(Pxcq+JMyvh=cHFO?os2<1?#}klz;6I|y)r#wP z&k=#^1L5@7V|32t3`!D#Oz17F9lV7|LLN4--}!=THKXN#F|#*yadl4i)FJ|9=Vbfe zrf~+xCjPMX{_`7#gm15TCTm{?Wtostu^Cer2~Dh1P(YVHbY*2@@O)qT;kuLHW0Ply z$V@8j)r)HjGdqb>VKz92$iNoE_x_OP=I7V>`J$_BffglAlv!JMo7NPqNmMLaG8~Ry zw+8bzcxWWND&H^1ZwO)$IRNcTgdvQJ0oxH_ zI-L@SsX+#`ZQn$mt&##6WkPPu2a%QREjl48E546)mP76>9cd0-Jp*<28BR$C4LGwB zwkoJ;noJO8v?E{2vRyT`Q`eJ3b-f-@t{}BsxDW=r>q&45ND46Z z>JVXoy(lZjBs5u$zuA|injmIFzB%m%Df6FTFZjU#^9$gi182cP3*)qZS%yhX!SIsk z^zc5W@IH>RI$q(exeAIbkQE@-6jz}7zQ)n~vdz``?|^VtnnZ01@rGOY1K5peVc?36 zd7~cTrNTZV6-qKEc)-10`-K<-&HW8|8evxDub0QX zlbjuq?^MVDC^Q?dF-akw6mylg?LwSrk1WBRB(dtZw z;3&(armBbF+;`^H1~X$0nUcpMoRbWPc1k%pH93(Hg08)kwMi42kD#f(k*KURNy`k0 z99SsYrj|n0#_2YQ0JvRA22hUOj4xc!&K*r{{P+8uf3XT|K_K;R9^GXa@UXk|+tjbM z+^p-lHAUnHC=Cg8e*(F*HsRqnbf!#SF~W$TaFOHdQK3Lx5yu4vYRk6|q|u2$p&w!n z{j%rLY=}7TegX|V#%IUH^ogWqpNiILzwXir4Cr=r)|jso0IG=wT^-FHZ3e}Kq1s0o zf;Lz~VHSOp+G7_#o#Pr6@mE;U$F6k!`NW!PG^c=x2099xVm$m`~{AaQp_<1Z$=oEQGcBBoVWQPYBkCeBkbK)4ng)672g-&RW z*W)`<ZL zGsKo1KY9PDJ|8e~7 zPT762tGi|Nmv|GPeP+TC3_xzyi@8ey1S9q(``<=AannGoA1gu3$)Y?SR-Zg?Uve0X zPa+y9R}Wn>9K-AFps%MVUgUG3yT)Z^j*fkOm4?{2JzqOA+->VnVYrs3w^9sQ$T*{7#7Zk+VVQdGp0-HVRa8cLmfr8sjKHT&o1%UsSb3-eKb|naFMFI1f2E+w}c8_b()*$88sA7%@WypsE+Bq zV=$u6pICb^W5`l#FqU0J!5tFTEF8=g$)eCWYwnM%f~%!CX_l#yg2#3`c+!^~)X*K+ zU69|llIF#f?*u(QG)~tOdWk6fGq;+IwJFWFG#hlbPcD{2}_rQ1^xtCCeY zVf;!h>zAUeYi@jQ2rD=GC_Pr-B*R-_Q5UuQ$KaQP8}npUZaH**6XyF@OZIH#<)XJ* zb{WpEpL;KHJG`k=;xdzJ#kbb8;ebets!k!yw4Y~Cp%>i5Za$u!b)|3t{haG1J@9+f z+Mnnx&&LHd3_Yz!f;tOa5VT5{I4|1o_y?KN94~QdN74yZ-UftJBmu}eyhD&u&$~++ z{qPSuw=^7!YL77m!cE^hX-n0tYs0l1a@q@^&$xzzFo|{zF9vqZ-eS4z8LqA(o|hl* zO)m`dncE;+B~@|SZoK1wYrO!lXfibel_SKIVy-LdWTsij%6XKkKtl`?tW~A`+0moB z4e;AKy|+&^BE;JI=mk7HML9-OTzL)=)8w=#TN0YVv?tLNNa`JK=4nT!u=5KapKnc! zq!$F)@iEmhk77^e4m`4x+5<^R0;h+NO(hvBGe(~Zi6+rk@EZZZjA4?Y;I|m<4N4M< z2wqYoC;v)+2d@jRjDOmu=KL)H*M^Eq)CkGPHGta#T&74!R>LF&(G>NYtZ_?ieH9zx zirU3a>_X6HGbbh(PB+K;j$&OPWu=trvn$(OK*aX%m;SO>_O`MPCaSpt3!Ojf63 z$l1oo-XasmxDxG|gHh}&704Fyf+7HT@_FI@ARO0Fy!E{O4tcm#R};UNwf>UMP)HdzqK+-W-cUhB+3qwWWB3#Mr| z*+~l(i;0Plk5 zUNERLt)-Sn9dwy&n4L>qavnQB_JzMC!kWP2&ob`E0WCut zn}JUL5MQ0=>Uf)7fZuBK-|fs@yp2GE=Vc(uTwb-y!s{dMz4!ZjodZg`S}kY&OkqwK z%^G=kJ44v2n~*Mq;Y^kZ4mS#*=|6RCYJ}vD0BH)V1$+=K&$bGHWDU;}?oJ$37{Y4Y z0ZG4gxu@D6uy#JT?zOg8#CBhmTYUpT5P{Y1J*(Jq3sM=VSms9db=L2XrB~ThIcoo_ zO?jZm_LGk54V8b8%lB(7%UL%Y%y)B>sCa=X|9Y9tjk!mUD(5hU`RoNJJFg+bvamB6 z0Ma%DfqC-b&vVTQY`c)H&D1>{U>}CQmC|SDf%fz;KVWGXuJ?v6|Iqf=5&zC)rqc@1 zNq>x?KVqer&ctU0mp;`ws zuEU6~-^J493c2Q9-O5c^K16SfCjT_+15kZ?BEgy;aw%D}*Irx3KDMfwS*K@55<*fa ziOW3?X4Vq9lIA~|-#7h)TE|asv$x|k92}P|wZ1EO++(p)P!9vBt-SA zWD6lC?-Bhjajc$k7>Kb6goM`&ShWOu{%URSNO8LYLOe3F=RNA3jOmg?E0$AM<1?u* zBWLWd_(=xtxvE~bwR+)t%=J{Y6B||pE6es8LlNu;x+7>-SryY3_skjA^or}$DrWYu zL6b;t+mn@W__%x1AX*)hQ_DkO0Lzjqk!Gmr$|Zz zp=+ug75~Y{v~-4g#mCdNM@g#A(>+Wb(^r@;jSeZLb}6p-wV0pOZ z3q~#*(ZyqF6TF*}G|5bx^6x?tD1)9xr(QKbmL76dUi0lMg|Q_H8Hs-oE}h%CDo)Sr zinHLz%;p)EYm`Bw^J4lNK++hAyiRE2m9I*Pj$p$@^t#t_Q8qqNXSzM@ve z9>^MO_3P}^Z8Y-m7gD63QG+(fPxP8v+fHiOMG08UT)2@2FHB)nmCqbs?IouE*Ig(a zCd@Y3FlcZrr%@tEKk<8ASh^)gmLJ=J8~tH0rq^T-u_M%}rF>1;q~d9i6k|U%*sg1q znMv}IF>l(pW?9ya128CHpL0RcXW>Y!>b+@SJNN2Cmy*m5b#CZNl3u=&czK6O0XCU3 zn~MDU@v5YhdyP(wo`N~fRi$6ZE6^+7k@tq}m~^foP=Bm6UA(#!iNCJB`5eI!$i;jG z2y%5g{LGM9;p+&~f`O_(UL2UrREa#XX1Yo&ZssO#=1v^B1GML_6VRIkA&*9%s^5~` zTv;=4@?RzBc~?P261L98C>yPWdVpT_h1T|Cy7_fiZ*17o`d_j5u;@X5*l?1dSg*kg{yN%*ET!g-DdSo`uxEn90Qs6+~p7!JZlIWSe)Y`C$0}< zS+4Aj5a3^0b4 zfqu2Nit&A^6n;nBP?sDXzvtSxRD!R*qL1fZGCRK)Z$P`JsasMPM~eL_9OEORFdoir zK&eC%;5V#H3ombSZ62IV7g8~s2os|S+`49nmli$@ln#+}>9Ijeg|INV7n>6Q&>cze z0eUW$_cJ+RvnM$XH(aTWXwmzrvi*Uz*+-XzXldjgRS)=#EztHIoFxo1F`CTG^C?F? zg$V+eq4T+8D-Lu%h2exK1tBQwE=6HT*91ij06Mu79 z&oRQ^f0QI%NPbLvm^O3?&JWZ&5j*#v9{Q1x*iJ0AI@5|w}D!z7PVOZR4rR9KI@ceJx?w-(Tp4V0VFn=1-H&U^OV~mM70$tqpZ;<{aLhM3!uQxkfUt=ykCO zWAc`qCRyWZ82~%LC`{vZBQ)ZC++a{N4k+t~4cUy0R3rQ}tFHX*TN7=Z zO3a5FafnY_F*QKamH2cirms67G{$LzWOW|y!dI$A<0}&-w~7Gre%X=FAdjs9a0Z|I z=|-Ur+;ikrIb&M6a%+{cLZ?vC1KmA+v36^%33!YnUsmp4(HmnKOb?%r(?%r~Oq@7u zjWe-`;F=h6 z<-dGNBfh7=t`iq#yvvVyPfme|flok9O5bhx?QZClNB}_Vncdf=9G&KK;1|Jcj_l{@ zQHCEX;ogqH8TM0_58e|;xzf3=m&}(}Wh<}yDU&JGEmhE8r?5k8nw)X~V|vh~e2i1Q z*~_y;z;8!z3w9o!hAC{*Y$$LZ!ptK$CR==RQ+6=lCyIYv46fFjl@XjoErQVH!a&rF zj0xwNbh+$82>o6RjcNjs@-|&GSIYbe@_~WVn@g@dxY=ZD7Kjh`D?=Zx)4Lot&^%Aoo79%vJ z-Dao!kgNRhmpA|4?}Hw<8)DGb1O{|8)k| z?JwD1_zZ|lwMFwrtJ|%p7!jLXh30#8!B`MEFawPj*_E^w6rE9u&-z{+6Nx8g56EtM zFkeT=sUEIQ6L@(8IbK0-$C~=Te=jetHVGJw^kb43O?Q^3hjNOLOc;)kiBo(uRBn5I z89yAKAGHEB_xOIwJ2 zj!19=x;M@K?Kn`3CUXS19Xi-`h{^W|u%qzY7>L?yu&!xk!~uLELt{Ti0PMqeJfRssVSb7JOMl)195mF zuIZ+Dg(1o^E}6^W`{OVasq;)l_TD;HmOhdT1c*j0*4}g>4v;qlXLY*2VD?H5M|vXn z7(<9~52FBL7@GP|rT}k}_%z4=azvwZzA#FLpal8(Q?CFIi)ha1GI(eO7drSOjFF!g znHeGVP9$w7sv0%SzyzWf2Y|I-g`wyBe78Ij31{Ia-CE0JR#a`Oe#FstIm=vwY5m@X zqNP2>b3aBvaoCmSMlL_}!ZVf&Um;u}+%tZh7}Kha_PT9{hH#ab4&;lH^~enaB@54c zWrR@-g&NNSN5phrn^ylNP=psNbrkJO{rGMvYjT3w@pJ0mgXCTy3sCDsYf*I9J#qIe zGbFFB*>2QovJLSw+Vm<+voh~fFjJ%P>Z&w444(-nj|9}E^N>!ddaS66Qc4|!*-9&+ zjp9>4ALM8?Vlr~Q+&;zY%V*|q^uf$o`KEk?Hi~Ffo(#6+Vz*wFt6|{8V#9t{A~`^H%C^SF~h$U&!nPEGBWEehDWV$dc{YW(x6e>1CV_J@}^ATZv37wwFUWN8zI^U*7rK0GZ+ zVnE%H+s;Nr0G+ffJ$QnVkc_obc0B4$a5gg%;*Y7{K->)|QEgI`q?BPceuxup0p}R= zu8}0jLPh}eErUFf6hky|Q&40dU}Sj4LEatFWk$MG)G&4f8epa64Q!)L7 zfoaN6d9;hZ#ML(LMW!TP5owHX5lP_Co&=!XN1*oD^IE$)pytV0 zO11r>n#xl3MEnrS&SpB1d=V9q`lTN`BiTTbKZLEJ$l@YsAvKN*wt5pV>lJWhF$3QN z?M-fb`Glfc`F*#d3TtAnw>#kfQ3j0Q<_4Zwc3_Far4uUYHSdZC$JUiz9cS5PHR`Qt zE>;u~Krt?m0B<-A(XmH(d6ORKF8DJcJ8?|KtXDhjlFuH|+)4X7wsq@|#jm0(*5)4i z$4~l%j%uyjFov09FG{|n`3FVS^fZX%1TIKN5=&)0IhT>6K7MgUsy@S5` zw2#Y-MEe@%dL_n7G<3irgcd{S1DW18S83G*;ly1S)u{q4-)x`h*ncB%d-bNDeM&e} zV*2wHCq{X|YRz8#pEQbjGHJ^`){S9JJh|b%Sgl*KYd6J#E%YSFPNLHuh{{B4w3P%1 zr<(GRH-^`eM;f}u@M}1i99yuWNy-jph2a2=k^E(SI`RJYATnp+N+kAx=|SfXFV+dS zVT)9nUcXPBlrLCK{z*5Uqr#@5ecC+{_q{fa~aUJ3=Y7v9*2nnU8E{^!I>{Z~ZqE-tNZvPaMG1bP*^ zV08L#LEQzak8(;&HqT7<0w|kQPhyF0vTPHV6MNHrEjHIiUM7Fig=dC`!NDXfedc+# z@D*AtzCCdJ!n2H~4Pm@QXu3Ho(b+NQI2!p-3JD{9j7HaYPzQkMdmNDV<;?&}b;cJ^ zg>gvVMUJ+(#SSLMo5}yF=Q)44=B|Vtg?rhK_^it(N_;zUFGiZC@k}JH|8xpK^IV>e z=|@>}k6;xfJQVj%AXdfWO#7hi#Qalu8tfHn`tI7Az*lp+S6YQG>}yqqa!`N2(xpPP zTe#bgHT`N(gAvO&ES>vsp#=jpQt{#va{uEk6G*<%cBJm*kO}@M{bQ0-kfEfrx1Xm5 zz#^OWsOzk)9ZLBWy_Xq5{n+O}@0Me+&GU}%uh(l$C1JHCh|RCq?uX7fI4DOnEP{28 zU@&JOq~H`q4!EYv>nh5hT&Q>cy&>bdNa5tu8x?c{3-BViV=;q+7g7aGwe?N*CWQMp zC}aG(32NDm-C#1K{(}l9hfA6L01}cS%qH)9G%c4@r;)|5$p{ zVMOQNrMVVZ#xK_v{%l1Lyh4T|6>M5tMP$8sleUhVgG4dU*r zE}DdKz;bQo;!XmiNgF1o^?iO-Z;H`4FGK&K|C&nG1hE$F%3&38^c6WxW1l|S&+Ff* z|NN*0W|m>fvc{>)YQj;PVrzp9K$TaGS|5Q?QDkz3YPuk3xP|C-tOboBjb?DCB&fP9GHWTjG8nv$N zfxN3%zs23oIty>9zU>=_OKi~0#)YxGyGb(P!ps$ICQ7XS29b0{ex-jsOLfDzt5 z&tRJmt=84rj=q}hG4svZd)a%RbyvSl-RlqYu7=Hoce8@79XpJ*n~@0=iT-^kv|?o3 z%gzl~0(UhXhRarPcv%_ND^V!!5R=e%({|s$k*fBAoW)6En&K0AIkL2PiOuuWymqS@< z#;n}Gjt?Fpj<|@e{gnHqn}O-sn=hNf7E^ zvhvQ9Z?q`O0T#n-#>pnY6j}9`H~ZhviQVZFU}jA7FKDA3b1Jg@AT)QMd(j6KnG zV#T79s;}_jm}WxVs2G&u(qg~US+4B(jh|#qLxf)8cy&)sjhP`7ftp~jYFe;kLLU1AlO3_HrrD@`G z@M|K$3ihvr#6pk($TB(NFogTR5tgKtkto!KgWiy-vA;xdMXCKtfv7Q@NvuS&7JP#j zF{LKZWnjo=>;%Z)364!EXtbQTg;G*l)5t!+qOEkZQEaL>r2wHZFFqgcG5{Yw$rEgzxO%&^4zU@$102(Z(Y<}b3R`< z?+T(Xgj&`LK07bS5d{zDtO-F@-mNtzt8;ZnL_@lQ{-H)YwHbixn<^jSKki7HryyJf zcSjZFn+Pf*O8OOPBpiRZp5ABRZ>R^n-f3R^b{vn+M(^R)y#`jH@ufFcG5J0>{noc8 z`B%F<{WJ_Zu1Ho){hDn8kptWM90Yba5s+NmjzfsO1870$WdSH!OkuAyLl1R2+|`rK z`xIoxh{yDW@VWqW@u?p9eTz*>XQa;3inta!)y$MMs-KBbb;Y#`p|NIuv5RhG6oDo& z5soG1yK6x}&<|tE14BIkRQ$kIx~q1P8-OtiRB4AX`{jqQ(TYZwEO}HT8b~0D6zZf@ zb^uPRvNCp^fC`6KEF1Q$?989709S7B35ya^<*FyLITxb>ahBb^3=_&js{-o$g*O z0TISq&>5iSBB++983UZ}0co<>8btkvh!xm-0sZ`*Z}!t_g7zxCtFt&If#4I{SLL+` zR#CxQE+Ncob%*ZCy85wVqCK-Oqlx_tOuHuN0?3E?wUg z$<_;j+#L|l8}5BRB83Zs^1M#PLbwoL^SR0%+jl^l?a$;jE)cdZJaJ6A;F34DwN{YW ztLlKfLPGe>#(v({m95Dab^42Y1G41~Ljc_lMNr%U$JxGXl!Tu|t%?^~u>U&Fu+*(U zK|@mI+k>wcQ&b!SJy`NwL|A3`kPR@jnJBGdW4rL-#b(XJpzz&u{?UH^I$-+$K49z| zo@b01+zoT2c)PN|4vc`|u^S-8AR9J>W{8}CAZG*lYJS=W?MX&fy(GVVIXXJmr)%Jmr?+?IVRIj5v!duRy?nbBl+=#;<9r z%EFHAl1!`0ZwT^t(R^DZrBsnNj}IV!cf3SH#4mq0-LBP5T~E}*nCVMql(tF}T}1bE z(4;I|fif=09yulE2E|gzGTITyAV_}lO5pCe)q?)X${t^jv_r^*KYvjhOeEH8)B z4Rxe`Wz{t`3UF?gAB3qwip!6 z1silJ9X9>t7*hYIYOBt(#|fF6Gu+ijxXmHpq&kY;D7@YulbYTrbrFKQ05fS_ycn`# zj@tyX_yM_V63FwR{1mkM0T|WP-nTQ@BEaaa`Z-zW6n8XaT=vH*IL)i^f^V*Jfr%Yd z&dJJ9(hDO9IzUg=vlbl0DpGt ztApmG~vFFDO>Ft4|RAZnjg_mf9dn%|Apvzw_#53}0r5E~fh_d=yt9Wyx zK)fx2_PKqlK(^Q34ZvdK3i)+qYvI%JlC6&;qAZX=!=qD#0`|M|WJ9a$emX2_i(W1H z7aQi@{$$$EVz07JWn8le>!)>oHE#5N4bs_8_J9zP^6yLjC77^Hk#hZl2c2Q3O4Wm3 z+n!`-dE>3KKUybKD>J~onI+MT|s_h@6&R)mb zWg|IvOK~gDWwt-RJ+DIIadvHks1x(-qWrzV|9#SDWYlv^yPtyRy#4KIhkvKt2t>zY zbTVb-QBcp`$x&Q0Wnl;3{^sq?19tV`=Qq>^K@9kspFpm!Y7|#r_9dE8QD>u0r?tO< zX=-5m{e9QP(SUIs5wdEJ!xC@(on5O~=#pTjcK;HN-_!FYlmQxr1T^>}MKsg6^|Dke zTi|oDm+YZ;gov0q$|p|x`mhJ%oIiBH_D}B$$e|0Bh$MznKv8tEy`RA?ih{|_j3Xv8 zm8h{y!-IMrpy3zL*@jLVrJ}tF42zify(9q+>|oPt+W>=rET>zfgOlOlUk~_zTRklCaEh#@~&HREL zur87L$_s^`AJ7Q6VOA?>w{`l{8ylk{l#V{+aOZhs=Bf794$fUWboo^axZSwIT6eyv z*Z&F&G=JT3)Cjj?Vlx6E-^%^j;FqDGO(TUgG4v2Ys%BID^I%|*PQVBe*||CiSU04> zTXw=HAcaFI;E=ZK=|#$k#2(P5u5sa|@&fM{%h!z&8JDEjl~0a_EE;(q1w(cV0BsmL zr}&SG7!Za5!OFw^Un(LE;6zu}X^ZC{{zwZZSNw#_Qo@#*C2~X6oh4F~svkopHYmed zD@vg%(e$@1+YE`+%BwC*BtSz}Dd$`U?2i>=z~IPUKSS{`Rb?4% zF=W1f_vgbU!G~0oSfY1GTlgRg#Arq^B{9y^B?u&vzX8}!0Clhf8;Ql%Z-*4P!#1-~ zS=`!5)gBqeTdyok1%M^y57pL+_hC6f1)mxsHXMfKBma?Nx(V+}OYRoq5Z_le7r|64 z*|x=PRVqa)yLt5d)vJ1fjAv3*{*%R&0i?=_VKX~?QjHyK7Eo&^?or4;rJH_g})=O(M#qBYE z3C@(Uf_J6%oBM}=x)3!&p)P_A4@5)~Vr*{awWA-(iwKxz09NSgR{lj8UTeKoCi}HZ z1QCcJsr!yhOtU$t{SDHy3!3o!H(B#DA@zcG$kYK<(u6E@mDEZ2iWRyMijlGt3I}vAb+8$whsN4@FOkE-bK`-75$^jY*5fY@`z} z$hJ^vrR4&XhvB(+Fv<~I+e8yUr3@Ro$H|fdU;lv_0Jp~R=v>yHJ+i^4agz>q5FFW$ z3x%?-RQ@NdDvg52rd^^IvQFzBz$+3Fjum2Z=kFAK=IdvfM*7_m@MjZbYTG}$X1`(D zW)joN*vU#+0oO2~;6Ea^op}E+L%UDrNL_}W=tiP|1U=#FKxBw` zEiuof08$7=bhEpW-L3fXV7M4=8?@h>LE`$~}~H0_sQx(jIEG;c`~BoD`*h|Cn_==c5(g zP2DSY4snakyYy}wbq;DYvHYG{?bsmlf*`ub?Hi z|5C_vy+JSXe~icPQZm0vW5h}Hy3&x2*}qrw+@cab3v}{e?qU5&?BBT8=?YCl^79aZ zK4!GG6NpE59LO$p>nT|@W(HLFIVn?=1sF6v&+@ABkn&_fOb*RO#QkQGhc@{q?JPT~ zR|c<-xAr6ygNhZmse}F&eW|y}7n{)&YQc_fc0ePSQ&{A2kb#3b^$B#=sc-`OSunqo z88ka-@Nc@xl}_&i0#4pmKQ`pN-K?0z)+>+7IOxp(3+D~=I?wZg>;PG7T_z~182}5% zC`0Ad(TO+#Udw$6F+Mijz!=hiS>?GbJi#Vwle}8g;a$ZCs4i>p_e3ge-FYR)AzQv# z?0AK91B27f+c7A4+fkIbP~zsIUCUM2@H7kO@vBZ&jjl4P(#VOLJzsW-8ZNfkK-+0r zAzX+PE{Hw~8-M8;Qg;!E8zhQr0_1jAzetP8c+?eJ&Zwt0+aLpLDzs~MRjXzhaBN)o z4cugghNVRd_BWP=sD4v*=(WyY3{n? z&)``+mk|%lgX%8Z)+}@G-2P?RCDm0+_iaC(eIza9Kh=9qX)!TudulR`0ouzgi#NKf zF82dX4w^yEEM1Ez(J^he3U8Vq#xuN7UQNaxx!X_ z1EctoB$pK}Uo4UKn5BzE{t!aNcFZ0{bR?^rQxIVpv853jG}ymndhlhtLh%os988U0t8VKC(5cu+2!E7lpRZ9jm({S1NzD+hZi}msr2GhP6!q0N`AVD4p0Wg$s^EVj&l}fIQqp zL1Ojv)fBoN!-~(3#EFp^>6-JDaQmg@(h0diC{e1>luA7rb_bh7Ikl{^S!=GhQ!&X- zx*q+MR&~3MuAZbaKujU-Jv5avg7>e27-vZgCOM=;(YNDL4i{BsIPOre-zLS!CjALx<5YOyeK9GDbo8QTr1H(80&AH*6=i4)kb#tF zftortHX@a%=1F(Wlgb3e2@PeKaOl+fOI1qc_t-1S@^_H!fY)3PBrzcL<)?sb13b4{joHW?Ha zW>mOdIhcvRDXZnTx2d(m#*C~QQp zk7vm32cUYy{hN)GR;!g{;u6kc{-4OL|r&eYyIWkJdIa?J`_2Yg7~mDO^_EezCJm3QX=y5A=7NW2I(SJ zU}|VVj%MJAMV=W(AXsuqWY1Mb|Pi*T=f6rqWs zgFyGFt)8h-!}d7OTo(kDNj8FdKrk~RT<6KbGjmP5u7DWyNb9gyN{lpjVy(838()#^u4aN)(l+izik zr0DcsTS1#GduVX^V6C3ewBKxiYjP{RVN~v(3Pf}YIo&DhLX=qT|818?jGD%GD~McV z59Ha6>5mAG`kwX(?EQL3aL|nV6Fxo34^ThLxpJ1U#Kv<=TtPb~nDmhqk<^IJI`e3ZiIYYpk5~RsB!#us5qD<$O_yATF2OKctYgpg*Rnb$&J_&oP+MnhjoaBL&K8};vRT4~<6z0`Y7q-kX zS`9d{*tw5x{5*sjfY_*_rInCu8~FN+?b@}PY08lf)K6|~25&+?~V5B1n<@jbbhGx60fS0}+n=;Ei;nAIHze(^@D zrJ&G62Yc45l0pdN`TWkh^CtL_MW20tu7G|coH#4AEwZDo&(h+chC72{joTlg+{g%h z7Eu~kHu+`D346PAGIZ9?j+mL<6jUj#dUdnQ<*X`tdWhEvlL*ovu2+stqh{o|g z@{@%%2|DWIl$Zaz1+#b&Qnwiw@wDLYoB3^IVA)W^(~ErW^!j4^JC5L$qR3lLz!T+i z%hv_H+h$yKd!5{pW~Fx?htJp=r(-gCuH<*rr+*3tTCifU7-)x?GpusAc?iAND$66F zV$)8n7xX-|(%>wouT{lozTD(5rAO{iMXV+TeCP+4Dn}*GeDJn+j1~BaL#1- zo!KjeX1~H`Bt9V>N=Tu_xea8&AgMFphq#Id^sl;~O1{!%ZvK^c37q@yr`YW@2}7Uv zNOQCaW@u1ioQx|2az-45x+h3ljEn*`t_P%+C!)5tEcxjSMM+I~)7eR&)kU%V7tTf` z8I~6L3L$PRKS=n*LagLCjIKN_wX+g4#jmlFYq9C*aB=)`I zEEH64AV#fK9~Z(FoZr^783dr+zKzB@$9&CxYK2cX-5`U2t*c+tM2Sp+MO0!ZZCf@I zkuX+-?~5Nb^~a$x3sF%(LDX4dCNZ$Ujo!6W9*$h%sNt!q(5VIx_>qo)kvsNg&ZE(( zU&F**!bzEy$&m(LtHj~J{(fTss0}LzK1r+>XLfXBg;R|3Use7t)%Yn{(Mz1X15H-< zM$o=9q_bH^*%n8bh?%fTk4GawPHu{uq$7jvAgXGI+GyqABzujBH+p&?_dTMTz=I&$ zwrpB|bMorK`}3sLPHK}8(v@sYblodf)9om4C~$pUpf&h707%P!{uWpaAXb$_zgqHS zJk24`wrq_E`vHdaTkAb$shP%+R;P7*?abqWQ&M)7i1u{@mURnEe1-;V*$quX9_waU z1XFxcMqw8MZGtoz251i+6EIwNSIKhcc8sohN>m&LF?Tub8NA^@(2T|L$u@f|(*d$$ z)Q;=KqqmABs|EE+>rgBR;3&~^JYi?ZjZbU7d-s;YnmGsm1y^jZA3=_0BO%}(Q*nA^&Es< zQ;b-=3%6B_7_W`>LfU1Kr-%HqB3nOM;O9`>rN(BogutgYVI)33G zqI_wrWNr39J7JfyKsuX}rj-i})8p?6F*=BrrMg1E@5%Dq{Txf1I$u)CHpx#!N(pf7 zh$YOLZ)VcGnJ8&zK>y)InfU1RbxhcyVklw)B*HIEC_Kyg_kGu+Pw>p!j>et6Lt&jk zKZ1xxeWWnFmwdq*ssa731#+xhj5r8dNjIUtNgii<`AGJ#>>nJ{=U=@;8CMETT$$#a zY_PWa{Pc&O*|PJHbwUgh&ztQh>f>fhp7C-*eru1PfTiD{3agP5t~RtMXO9?TxSIlH-pV-hAmTHc>fm5YD038|U2MlkXP3fG{ZNppqM6cQ9RH1L9MRo! z#OFo{*sI?+`xrbyu=1vj1L;_{3BrOo#IUw|9dHR7t{}s`hjRYg8`*SHQ=%bOdwDFn zZ-`_S>4sz_vuT#w^E5`j$7A}2*Apei8! zHwwt2z)Bgam1Zn$LOo&(Qi!01;puuCPZt5gk2Vihv%msgVj<9gPN4hGaAn*8{-R?H z&D7Au9utT+46zW8RO4D8r`r7)MZ*gLBmO`MC}KHa1yM8o z&Atn?rgT69E6GtHYhg)2=@p40xP;&V&NK6gQY^@c`7c=Rr=UXrb%mvD1Z5S2^TVOD z80N!49p(iu$H69w9>jG$LqREs%Zwakjgt?N9JF3WJ^YQL2)DnJ?)|=u0#+e}i9p7L zz(gQMa|^5(hAE~~w3grjMBUP%3WeuW#Ranv&D8l53?GXTreUtjit9r_Py<=-~D&FoP4v-t<5Dbgxjk{yQT_u=?31TxuWY3WhrOOKo#lSFqFf`C2ndoTAcoNWoJG=y+z6{3FXgqPSkX9Rqkg$&m8-H`?#=njAG~ty_(&B-+yj= zj^=c-!J|r}_^%dxfPIm)Q(n&A18=^bUWAW!K21$O9rD*s4Y+lt5%zY!eV2L! z&S$%#3r|AJ1fjso8a(w?@pl$RB!#Lk$bwfm+2Xbh%$~)Ez1AqHcMZg|F|=M&D74nb z@#sHL$m%b}N4lH9Z5}3(ESdK<2W~glV&6t4O4!SBmSW8SOTD?miYb6WJ~U@yDYL(q|45NYWz?!Imh)OYOw+4<>Jw;ofbdfhAm{2AIEEGM~LAw6g7~t9DXFas3exBX2 z!E5S}?(L=3E(o>O^wC|*yRghXo^Y$Wy7$yXKUbv4haU(ZNB#IYUU@mDWj)X~ZQ(zEaoqVt&OD-%cx_duFPx zNwpCmdydYnZyFSw?%zjl%KFyJJ#EPwR!qRnJIR+&tPk)^fmWp8@U7O3d=lEqITHmU z*qL0-l@X5N^~^i5s5jRWGC`8_Qk4Is$Y389)V9x`wRF?wGssiN(wY>tu;K3Q9_GAi zemnd!Z{#?i-Q3&Mx^mklQMDS0hWEZ{G>`yDsBc7^_|WTI(s6pzvx0cszZpQsUflqj z0bAwL(()fyOR?9kLUu};UD>l;=O_I9M*h}-2sQFA)yAo2 zEthpq5jj~>+HHCr3%>PcohjeFQO~um(85YY-&5TI^h{4CIN{SLDKtQEt*IN)v(3Esm&s|e)g5%@W;3;PgVT{ zL*mTNUX8yr6CD4}KE}sCZqgn9#6OQ$>my{tWsIy1hfyJ*k8Ft~fLbN{(}0D`Yc&$d?T; zeHK6l%%dYfc*pYHjH;ei=5=~puDzs%?x%2NeZB}ye9K+oGXaaUWVfcn7N&;{&^=nZf^pUltz|{oh{=6Ngkk9oSU5d`xg| zZjS$$wRQ9om!vQP_l!&ypb2c)r$^T0DvFe?>EFfFbYW@k`I@6+&7|9a;eb82-*JTe zcaBXI3;{HYqi(|OH~N|i&lk8>L|$CND}x(&K2L`T8SJ|DfardaI_%EOz7wHH;oxQ#c1{T;@dCq) zwXdTCk_3ML&x7ZJ0T_a?q7T7^U`o^`ZQ3cdbj+Ec`L;Uq;gZvVG@Zmp#w%q|R1*Ng z)c_3aow09!AM{oV5#_DW5Q$om5VFy$YgiuOZcwihWPVl;ixL=kJHEOYAt}_WT>7TgR=^A?B9# zgd*l)!HYLS!CcLkn7EA3!$BUHs#t z{K6UC%EixCiKDR#Iy>4YOsLL=KX+FufKb%xhJC7VolC$=6N4~HzDQ}wYLVRPRE@Us z4WC^G7nNfe^f2RWB;sW4(>L`7nI8j}IBy634bP z=bOPM1^VOA&>Qcn{-Ft5v}T#AbK_Z1=YXtlac>>QkL|(62+uKa5~gofZM67Ql}D^$ z{iQV8jLb5*yuVZ&OA-||m$5KJ9Z-0)3Nl(PP+9Tff+oWa3a{c-x8&Ly(dInW87$9} z%Pd9>^<7vs@QDXEPa5ZT*AiE?^47Q?G14sA(2K%aUNqQs9J9%aFC*>?-=AL{1a02rwt{t936ESFi?dnn~P(rq)<~#4MYMF zzM7&>5}Xb!6NY!+Rq|q>1<>N)^}9eg3^6hy98HJa)cHOa6Gn!tnunoH;s>9f3(88`?F*p^Y+z9vnwk z7}0x{VIjk5RpS7=mS;O|!wfJVr)#Row&);Hqp^!oUn3s{d3*zLhtN{cPcT(B7Rr9s z{9>hwHCBz%)IIhG0`iU-LK>R$^N?3B(ftL*Sinx+7<=5(R@~}=RO;4$vUp zp+y|WS{b!t*ZD=ze11|0ffH=`AbjP)eoeNH2Kn&@y^*t30{BT|QCma~2V_9PgJPUQ z<(VZ$Ls57U1PBIAx9^`aw_(iYO!g%|pau}Be(U5Ku5fx}TUeg{c;x%el3_+H0^QLg zijZ#u7<@2vG!9&zGrR`dt==sT`8dd*cKFby`>Mh>4AB%5h6s9(b~tN68&3_P9kaW39+pqD1(KDIctteGPmDz-F(&FZ}%S3bnqTz+r z%FCIS0CSgrz&tY$TPMU=Wa;Lq6vVl8>Z{pglMffeq>v=tQx^;h8~vE3V(^H|UKwJ3 zj=A>22$pT4Nm|8H=Gkf(uC$DpHTsBNpTzwj0qM4HiS~Btv078+fy*&E_SHaka)ndI zbNQtrLOSN)kA7f0qtx6C0F{W)iTPi^6#^&^P~{vPqxq;@)DmdY1d7qlg9Q4IkTO?} z)lTaPDvS;!M*_ue2SkG&&;ZdqK{4Asnn3$tfi}_qT4lOHZ!!M+EQJM7r$``2_rHdD zZ7>x+AlCvYRy%hp7_U08LmLdMJ>nEh*&0Zm3Wm}CM+scY66kvRuasy57bO3O!2!o; zPu~FVLIyIof#bAWpM%@M0fRQcvD(icz^!5b^N8*Lw!*g=aQWe1ua^l#vNKTS3mmhZ za1r8L3Y?9d8%V+o83Vz_$-)M#V}>OD?`nY=G7g-TgBxhf0*Q~u%L~UWW#j7RPQuH= z@&AYkoSf|c#rUEH2H--%1120te(hD2DW<#KQKa&4pYl}-jB`2INoR1Rz!j!y(H@=Ht%!FDp)$6p=^TqYmL3F;7LUB zpwmf^AP`JSholP|u%I8ioykOErN1fTEjcjb*aos%Ng(!PAZ_8K0LcVU2UtO=1XTO;;I0&%wLAV>`g zQG{qNScO53@icChpTp7JkfpLYLw<-X^6Kc)&I^-Z+JwtNi3J4DB9Qo@f&`ltaL{Nv zu%H!`&Lq75oVb|qm$Jv{^p~KP&~yu%$P+M3mh2pu46L;%zXq6 z(j!*$*bHObkRPw-ULs;deEq0-#3AVlPSmN)(0@NqL2Ai#%}xqo>m>CXBAX}dUHFJ| zfs%h7Y+H2GV`*zNI|Du)o-WR9Tj=0L5uq==xePG-0H3N2W}t@=%U3ui7?nuBqcT)> zv^iqjL;sZWIrkefTAr4lRJ|fB3Gp$lZ{2TIRZ#kT1Q?PDYn_1J@*1Qst)Trt>mqL8 zK5_Nz;$a3JTU4BvbmJrvP4{BvCy$26c9Hb;a}+~9Qf`TK5>zxmR}>;wWqd35Z|=lr zc8Rx>18Uu$Q4syOO-GO!|GrduYUeVRu2qG5x|?ed9*I;P{fmL8oXvW&g_qI5arJfP zFxSn-%(e1ds=Rsl8}`0E4PX=eX^ubvyS`P%&{o?f>MXK}efd$%@q6BwfiKQZf~wOJ zf)R4j6@b%U2|5A{or5BI`?%S=f8p)~kbnP$1ZYqqVd~c^N8;6OzKV}anbD4ek1Q7M zodc7UK`j^_JWDGG1+Xa^5(KmuLWd01`78ziBWU*o{&-XN)7|bU+7H45twPHyBan~5 zjnjTQ;f9Syz6sq=@}$uV?svy#YOuWc-=b7dZuU$)<-DFW=mB_Ld7+kZrPK_hj8tC4 z0269swbZC!<0HayB+w)_n<$iy>GK zi_XD#1)bp8Ai6+n)>TqO*xw}(9rntw)TuP-W1hvdu5#dytA|SqD$+{{9^m}ljt)RoXAY%HA>Ix4cWL}_@nq)bO%v*SO&*X2XsiSV8Jf^Uwd9-TvoXS~1+4mX z(XxsB=P9@VNtBU)4n0JA=n^fZZys=t7tRF&jWp^dR|kXr3y-jB6%mJ~23V?-(Eh^l zEB=gz!9@-k0y|y}rnm`&usn-PK&_emnbPwwXG~^~Acb3Fnj;n2Wm^@v3tqaF0^`}@ z`y|DU%tvll-R-9&*?FGE`1i5}Gwb+WngpXrMI9xlD##^})uEHR={FT8B#+%s-e&D3hZjzB=KoFTh(1ZgT?2hE6-lJ2LKL#y)V28Z@X}U zl_W&`rRHZ+s1z(Kmn;4n^MyFKn&eSrFn~!LCY+YjF2CqsXh6>des zo`{RENK0)E3HK+yS8UNXV}+;DNT|4wg6O?;ft)bCfw-{8Xw}^2mLNhsagrh%ONON( zAsTCCo|3+>xg6He9smyI-uc3*hiKtn*HMB33QDRBQkgFSYMLvz$-0J%zD*mhn7C-K zeN?8_9T286vmX|JW0l=i~k3O zTB59{)M6O&Bt098`OPyjx@cc<=@mg4`PW zE8Bb}{UL^e2Vj4xh%TcmB&R+kjYsJ99l^a*(IUF~Ne1-jp;ogW2uAdBe^psI)a>=i z^Hs5nOKPN~*<3R2%jS}t$Ka&ZD)Rk`Yiju2Ksg_*%7AF!i&6GSG*fRA%Sk*hf{BAC zp>t)8HQ9D+OyO4sv!y*|)%9Jvt3G;nzo-nArYob%3=m*c(bpj28AYIrpln$Yp(0|D zjwX#Y71>XNR#op82meJ9O|3TeC|A-s)|~z>07pY(IT{@v^|3GxnV!(b7e8Hzwe(Lw zURFIIQUa(N@bUE*epOVL{qP>1PVaIj_DFtTX?fM>Pt(JvlVzW2jzU}AM`i>W6bSd7 zEHsm42E3_GFR9OMneC+7r}>QN3l>}FRd!Gz$DuvE87NI`hRfMA&j)_S|19Y3RRoKn&nq7y1I+=4?l z;>lka%(U9fM?DvaKPaSj0bQCUwD^dWbr*!90ddN!G{dU}B^p+GQa= zoi7$@%#-@zb&Zcx%*{Pf`qaaScW*Z1VOI}!F~0Zx`{U!r6!7oY=kd&?B?so`cj(43 z7z|Z$wM8NM3Ak^(uaTeLHW1WkHgrd{C8Q;Xka6zLgU*~B`trc~yM(~Vpjiha73jrWYqha8;y7cR#KJaWtp z9O1g7;6oQQ^Sa6%kLNN;)vxURPi8c!Il10m;);(!kmXMRf{)3uv$Tpu*ABS(?t zH^Nkq(vR&n*eTZ^Y`tbhJC@e~bv}7<2VK0E1t10DgD4_#<5&Zo;yV0uw&pPZb6!B0 z25a_oy^BLmI=w6R+EI(ZaJmG-$1L28~jwLdOKbs75358)Z`Syn3hOK zPF%)XgQKtE=oR?cgO!u;=X*C|#Wq+)1xWgH0tn}jJXDfxEcUZ&QF$W3sK0o+lzaUmzQRHYZ69R#d3GaW}V)(Tgd18{oDr2jTrD1o@#e8b6R#osueCfhu);bherGamc2og0Ym?ERyr z&_?I&^vZg0(&;pH0WktV{3&et_?LdTc;m{{K%f&hmzl(Qpzp3FY@H+2)onOm$q|V1 z{I{DCc(z->rk9Rwl`13Q)fgk{s1q1Ik#XeobZB6}Jeg8Eni|VSiP*jr>)I%g&nOoY zxyM4*1W1q7*&=y{i_JIe{(F08W`W|_EQn(=Pb3iNpK>|y*&+zoSH*3BmcW5P7vx-SP`2>5NJ@m*z@_krPS9K zc-xt>>6E;=PSJ|wRibLe&2Sf)rhhaTs74)jbs`JjkZvly2CVP;)qfw>nYdv%u)lPd zs#U+Mo*B-Vc|HkHWub+b{!}u6aqpg2;+XLi^OlDu_%M&Ne&|t?P(SHsi==w%jWs#$^OxHTRi5Y*-J>I#Q>ih3u4c zgF>y(c*8B6{q}6ao1@-af)iVvl=NAMaAwB-xIG^`LY8)bX)jelkqAM3wE&HVCh-d1 zZz!f5*aEvg`H?8p6L9Z0Ce`+;KAjyhP)v|WeRIGBvE6_`vXqr}+Wht+X~lSX0-7)2 z>-Kodo#qDM$`v$n5J~`ThgLnL7ZAA7%nECHnV~p-8`Xwu2jGcB6RrDC$Ij|~*Ll3E zGC5~>43Ns_Z0;&wo**g_3Hp3=hFI&xfq+L|DMKbVbcs=%C~L2TqG(t#De?0@Y}rP3 z46D1nNyE#!Q&{Bkm8-j}N$v3c>d5>d@~o&B(7_7`-(~fhZPh-VXZ6_Swc8am$}p`@ zy1SnFK+eyj#9zlk0p9=#;IB3VFAK1?(T&Uy#2=r-9vpoL|1(_+IMmE-4G!G2v-0)( zm&b~)FKe~jv`Xjn6g*y)h#6aY*ckElg*=R7W+wfma97QmA8zLafIGK7;$*@YyV5FD zZzTs*d*rfa)G*>o7m7K;*j-g{`7{++w@wgL7o#=dU{r0|P#lpyP!^0gj1L#3r@o=( zg#QDK!dL$xG&DhUFeNT?uor;%V%(d=GNjrW4*16ztAr`)xzwd^(G8Mh$r8jKpgj4# z+Yo^BWp#1Ofd}aM&H8G2@jay|cWkE!Q5^~pTt})n%!M?bm)8o?%A|Y6iDaTxiirDLC zHzN36#~M(4=iRMc$FhjANZfE*>`qRB@NVMY*lD=PogUp5lGFRy#nt3!YJaw(31saF zXWd}={bs<@c5vJ>q<3}~VRPfVo6`%w8=>UCStC2!RdaCB6~SrVVmh-MEffhr*6ggA zn5k)1nAwK38;Zm?SoMV)ac2~t;i|#)!mdGd9OcW2CbFJH47R*6$3?gf?#y{&QFHLf zMrh`5Y#EsDp31s%v5a70|7POZI#_XA>v{4%#*N*z(rq2XN|cP zjTLO=4>+7g8GL_IeS41*_Q7Ab5rTOdD9n9^O&+Lay}fnq-&m!fZ#8x6H#UuBzXn4X z-$I%JoAV~l{Z%scE1#Ko@B{hRPim~}JJaoBriu9h*fn1gVpgvp)}8=rkHfhfhC44s z$GeiI?-?}O6ntN<-u^H2FT;o!;o8DOrQoyIVtiImI#Z1Id-71}M6F>GHHqf_9i#5i z*6;$SpZy3wf`sYB%xIG9Tt@%A*e)jiw8z6oKjF!Yvwt5hv-cVi7bkfiE8ckfTEetn zzrmCZ0!*89i@VgryfFgCPPv>w;ZT>lt0Z@aYJGN#8b(H=Hy-Y0yjQZC%Pv^4h|m09 z$(i1gp!9TWHvC?D*_~Wo&ai)FW9=)P)PNc3x^Glj)mX1SKtS;26XUSG2{xb$T698N z>VI#8H}T4VUVrHt+G>jBr(5_WPz(MIkBPz3GIuDbHD}WySGEQ0I6#=wU1m!Kjomtu zJDd4tp4hiobF;(+O(+PW>ghE_Ys{+3I*qJ^cHy7}zxT3pMm9XmDT=2{m6n62C(eGhDg_-`%Gm7)dc zsk$h!wKpsEQzi?|9?{nc5_u zDoe`3)8Y-xXtj)1R-LVyZo}$KDehv*z#e{_*3UX719WJ%%d<>>rRs_5N4&UtnA|b{-%r0%WKIMLy zb-La@Wo7^P$sYSd8T99x?C??!B z;{=?BlYF)Te>Uf)zxeB7T5~gpcd+2 zH`Kc|t!dv5Xn;o82~DsInxO;sxOIHeH(H<-+ModKFbJJ)Mbo}6=;qAF;Vh3m&HrrjRA)4q!^1G6v> zb8b(Xw0aq?z*SzQ-?#w_ZqG)wA|mhMHIoTzgQipj<%{qXu;Mlq<+1Xjl+WP_rPOpld#W~|rj?PndW#l5OsQ>**qT1{>4&+lm}xW8Y~)b74Itf|BOOG#6w z=jK;6b$Kodnz}vr>!GF|&!)d?>hUiMWz2znaRK+-|dLDE4FVh#v72ssoo6^I2O+928>+93E?0#Xf94W+u`siE0C z74O?W!B~Wb3T19&b98cLVQmU!Ze(v_Y6^37VRCeMa%E-;Gc+(TH#Z6;B}Gq03QzOx A6aWAK diff --git a/doc/pub/Statistics/html/Statistics-bs.html b/doc/pub/Statistics/html/Statistics-bs.html index 5703370f9..a3574cb28 100644 --- a/doc/pub/Statistics/html/Statistics-bs.html +++ b/doc/pub/Statistics/html/Statistics-bs.html @@ -270,7 +270,7 @@ end of tocinfo --> -

- - - - -

- - -

Exponential distribution

-
-
-

-Another important distribution in science is the exponential distribution -$$ -\begin{equation*} -p(x) = \alpha\exp{-(\alpha x)}. -\end{equation*} -$$ -

-
- - -

- - -

Expectation values

-
-
-

-Let \( h(x) \) be an arbitrary continuous function on the domain of the stochastic -variable \( X \) whose PDF is \( p(x) \). We define the expectation value -of \( h \) with respect to \( p \) as follows - -$$ -\begin{equation} -\langle h \rangle_X \equiv \int\! h(x)p(x)\,dx -\label{eq:expectation_value_of_h_wrt_p} -\end{equation} -$$ - -Whenever the PDF is known implicitly, like in this case, we will drop -the index \( X \) for clarity. -A particularly useful class of special expectation values are the -moments. The \( n \)-th moment of the PDF \( p \) is defined as -follows -$$ -\begin{equation*} -\langle x^n \rangle \equiv \int\! x^n p(x)\,dx -\end{equation*} -$$ -

-
- - -

- - -

Stochastic variables and the main concepts, mean values

-
-
-

-The zero-th moment \( \langle 1\rangle \) is just the normalization condition of -\( p \). The first moment, \( \langle x\rangle \), is called the mean of \( p \) -and often denoted by the letter \( \mu \) -$$ -\begin{equation*} -\langle x\rangle = \mu \equiv \int x p(x)dx, -\end{equation*} -$$ - -for a continuous distribution and -$$ -\begin{equation*} -\langle x\rangle = \mu \equiv \frac{1}{N}\sum_{i=1}^N x_i p(x_i), -\end{equation*} -$$ - -for a discrete distribution. -Qualitatively it represents the centroid or the average value of the -PDF and is therefore simply called the expectation value of \( p(x) \). -

-
- - -

- - -

Stochastic variables and the main concepts, central moments, the variance

-
-
-

- -

-A special version of the moments is the set of central moments, the n-th central moment defined as -$$ -\begin{equation*} -\langle (x-\langle x\rangle )^n\rangle \equiv \int\! (x-\langle x\rangle)^n p(x)\,dx -\end{equation*} -$$ - -The zero-th and first central moments are both trivial, equal \( 1 \) and -\( 0 \), respectively. But the second central moment, known as the -variance of \( p \), is of particular interest. For the stochastic -variable \( X \), the variance is denoted as \( \sigma^2_X \) or \( \mathrm{Var}(X) \) -$$ -\begin{align*} -\sigma^2_X &=\mathrm{Var}(X) = \langle (x-\langle x\rangle)^2\rangle = -\int (x-\langle x\rangle)^2 p(x)dx\\ -& = \int\left(x^2 - 2 x \langle x\rangle^{2} +\langle x\rangle^2\right)p(x)dx\\ -& = \langle x^2\rangle\rangle - 2 \langle x\rangle\langle x\rangle + \langle x\rangle^2\\ -& = \langle x^2 \rangle - \langle x\rangle^2 -\end{align*} -$$ - -The square root of the variance, \( \sigma =\sqrt{\langle (x-\langle x\rangle)^2\rangle} \) is called the -standard deviation of \( p \). It is the RMS (root-mean-square) -value of the deviation of the PDF from its mean value, interpreted -qualitatively as the "spread" of \( p \) around its mean. -

-
- - -

- - -

Probability Distribution Functions

-
-
-

- -

-The following table collects properties of probability distribution functions. -In our notation we reserve the label \( p(x) \) for the probability of a certain event, -while \( P(x) \) is the cumulative probability. - -

- -

-
- - - - - - - - - - - - - -
Discrete PDF Continuous PDF
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0\le p(x_i)\le 1$ $ p(x) \ge 0$
Positivity $ 0\le P_i\le 1$ $ 0\le P(x)\le 1$
Monotonic \( P_i\ge P_j \) if \( x_i\ge x_j \) \( P(x_i)\ge P(x_j) \) if \( x_i\ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
-
-
-

-

-
- - -

- - -

Probability Distribution Functions

-
-
-

-With a PDF we can compute expectation values of selected quantities such as - -$$ -\begin{equation*} - \langle x^k\rangle=\frac{1}{N}\sum_{i=1}^{N}x_i^kp(x_i), -\end{equation*} -$$ - -if we have a discrete PDF or - -$$ -\begin{equation*} - \langle x^k\rangle=\int_a^b x^kp(x)dx, -\end{equation*} -$$ - -in the case of a continuous PDF. We have already defined the mean value \( \mu \) -and the variance \( \sigma^2 \). -

-
- - -

- - -

The three famous Probability Distribution Functions

-
-
-

- -

-There are at least three PDFs which one may encounter. These are the - -

-Uniform distribution -$$ -\begin{equation*} -p(x)=\frac{1}{b-a}\Theta(x-a)\Theta(b-x), -\end{equation*} -$$ - -yielding probabilities different from zero in the interval \( [a,b] \). - -

-The exponential distribution -$$ -\begin{equation*} -p(x)=\alpha \exp{(-\alpha x)}, -\end{equation*} -$$ - -yielding probabilities different from zero in the interval \( [0,\infty) \) and with mean value -$$ -\begin{equation*} -\mu = \int_0^{\infty}xp(x)dx=\int_0^{\infty}x\alpha \exp{(-\alpha x)}dx=\frac{1}{\alpha}, -\end{equation*} -$$ -

-
- -with variance -$$ -\begin{equation*} -\sigma^2=\int_0^{\infty}x^2p(x)dx-\mu^2 = \frac{1}{\alpha^2}. -\end{equation*} -$$ - -

- - -

Probability Distribution Functions, the normal distribution

-
-
-

-Finally, we have the so-called univariate normal distribution, or just the normal distribution -$$ -\begin{equation*} -p(x)=\frac{1}{b\sqrt{2\pi}}\exp{\left(-\frac{(x-a)^2}{2b^2}\right)} -\end{equation*} -$$ - -with probabilities different from zero in the interval \( (-\infty,\infty) \). -The integral \( \int_{-\infty}^{\infty}\exp{\left(-(x^2\right)}dx \) appears in many calculations, its value -is \( \sqrt{\pi} \), a result we will need when we compute the mean value and the variance. -The mean value is -$$ -\begin{equation*} - \mu = \int_0^{\infty}xp(x)dx=\frac{1}{b\sqrt{2\pi}}\int_{-\infty}^{\infty}x \exp{\left(-\frac{(x-a)^2}{2b^2}\right)}dx, -\end{equation*} -$$ - -which becomes with a suitable change of variables -$$ -\begin{equation*} - \mu =\frac{1}{b\sqrt{2\pi}}\int_{-\infty}^{\infty}b\sqrt{2}(a+b\sqrt{2}y)\exp{-y^2}dy=a. -\end{equation*} -$$ -

-
- - -

- - -

Probability Distribution Functions, the normal distribution

-
-
-

-Similarly, the variance becomes -$$ -\begin{equation*} - \sigma^2 = \frac{1}{b\sqrt{2\pi}}\int_{-\infty}^{\infty}(x-\mu)^2 \exp{\left(-\frac{(x-a)^2}{2b^2}\right)}dx, -\end{equation*} -$$ - -and inserting the mean value and performing a variable change we obtain - -$$ -\begin{equation*} - \sigma^2 = \frac{1}{b\sqrt{2\pi}}\int_{-\infty}^{\infty}b\sqrt{2}(b\sqrt{2}y)^2\exp{\left(-y^2\right)}dy= -\frac{2b^2}{\sqrt{\pi}}\int_{-\infty}^{\infty}y^2\exp{\left(-y^2\right)}dy, -\end{equation*} -$$ - -and performing a final integration by parts we obtain the well-known result \( \sigma^2=b^2 \). -It is useful to introduce the standard normal distribution as well, defined by \( \mu=a=0 \), viz. a distribution -centered around zero and with a variance \( \sigma^2=1 \), leading to - -$$ -\begin{equation} - p(x)=\frac{1}{\sqrt{2\pi}}\exp{\left(-\frac{x^2}{2}\right)}. -\label{_auto1} -\end{equation} -$$ -

-
- - -

- - -

Probability Distribution Functions, the cumulative distribution

-
-
-

- -

-The exponential and uniform distributions have simple cumulative functions, -whereas the normal distribution does not, being proportional to the so-called -error function \( erf(x) \), given by - -$$ -\begin{equation*} -P(x) = \frac{1}{\sqrt{2\pi}}\int_{-\infty}^x\exp{\left(-\frac{t^2}{2}\right)}dt, -\end{equation*} -$$ - -which is difficult to evaluate in a quick way. -

-
- - -

- - -

Probability Distribution Functions, other important distribution

-
- - -

- - -

Probability Distribution Functions, the binomial distribution

-
-
-

- -

-In order to compute the mean and variance we need to recall Newton's binomial -formula -$$ -\begin{equation*} - (a+b)^m=\sum_{n=0}^m \left(\begin{array}{c} m \\ n\end{array}\right)a^nb^{m-n}, -\end{equation*} -$$ - -which can be used to show that - -$$ -\begin{equation*} -\sum_{x=0}^n\left(\begin{array}{c} n \\ x\end{array}\right)y^x(1-y)^{n-x} = (y+1-y)^n = 1, -\end{equation*} -$$ - -the PDF is normalized to one. -The mean value is -$$ -\begin{equation*} -\mu = \sum_{x=0}^n x\left(\begin{array}{c} n \\ x\end{array}\right)y^x(1-y)^{n-x} = -\sum_{x=0}^n x\frac{n!}{x!(n-x)!}y^x(1-y)^{n-x}, -\end{equation*} -$$ - -resulting in -$$ -\begin{equation*} -\mu = -\sum_{x=0}^n x\frac{(n-1)!}{(x-1)!(n-1-(x-1))!}y^{x-1}(1-y)^{n-1-(x-1)}, -\end{equation*} -$$ - -which we rewrite as - -$$ -\begin{equation*} -\mu=ny\sum_{\nu=0}^n\left(\begin{array}{c} n-1 \\ \nu\end{array}\right)y^{\nu}(1-y)^{n-1-\nu} =ny(y+1-y)^{n-1}=ny. -\end{equation*} -$$ -

-
- -The variance is slightly trickier to get. It reads \( \sigma^2=ny(1-y) \). - -

- - -

Probability Distribution Functions, Poisson's distribution

-
-
-

- -

-Another important distribution with discrete stochastic variables \( x \) is -the Poisson model, which resembles the exponential distribution and reads -$$ -\begin{equation*} - p(x) = \frac{\lambda^x}{x!} e^{-\lambda} \hspace{0.5cm}x=0,1,\dots,;\lambda > 0. -\end{equation*} -$$ - -In this case both the mean value and the variance are easier to calculate, - -$$ -\begin{equation*} -\mu = \sum_{x=0}^{\infty} x \frac{\lambda^x}{x!} e^{-\lambda} = \lambda e^{-\lambda}\sum_{x=1}^{\infty} -\frac{\lambda^{x-1}}{(x-1)!}=\lambda, -\end{equation*} -$$ - -and the variance is \( \sigma^2=\lambda \). -

-
- - -

- - -

Probability Distribution Functions, Poisson's distribution

-
-
-

-An example of applications of the Poisson distribution could be the counting -of the number of \( \alpha \)-particles emitted from a radioactive source in a given time interval. -In the limit of \( n\rightarrow \infty \) and for small probabilities \( y \), the binomial distribution -approaches the Poisson distribution. Setting \( \lambda = ny \), with \( y \) the probability for an event in -the binomial distribution we can show that - -$$ -\begin{equation*} -\lim_{n\rightarrow \infty}\left(\begin{array}{c} n \\ x\end{array}\right)y^x(1-y)^{n-x} e^{-\lambda}=\sum_{x=1}^{\infty}\frac{\lambda^x}{x!} e^{-\lambda}. -\end{equation*} -$$ -

-
- - -

- - -

Additions to make

- -
    -
  • discuss more sample mean and variance
  • -
  • sample covariance and Bessel's theorem on 1/(n-1) versus 1/n
  • -
  • add more text to covariance matrix and results of codes
  • -
- - - -

Meet the covariance!

-
-
-

-An important quantity in a statistical analysis is the so-called covariance. - -

-Consider the set \( \{X_i\} \) of \( n \) -stochastic variables (not necessarily uncorrelated) with the -multivariate PDF \( P(x_1,\dots,x_n) \). The covariance of two -of the stochastic variables, \( X_i \) and \( X_j \), is defined as follows - -$$ -\begin{align} -\mathrm{Cov}(X_i,\,X_j) & = \langle (x_i-\langle x_i\rangle)(x_j-\langle x_j\rangle)\rangle -\label{_auto2}\\ -&=\int\cdots\int (x_i-\langle x_i\rangle)(x_j-\langle x_j\rangle)P(x_1,\dots,x_n)\,dx_1\dots dx_n, -\label{eq:def_covariance} -\end{align} -$$ - -with -$$ -\begin{equation*} -\langle x_i\rangle = -\int\cdots\int x_i P(x_1,\dots,x_n)\,dx_1\dots dx_n. -\end{equation*} -$$ -

-
- - -

- - -

Meet the covariance in matrix disguise

-
-
-

-If we consider the above covariance as a matrix -$$ -C_{ij} =\mathrm{Cov}(X_i,\,X_j), -$$ - -then the diagonal elements are just the familiar -variances, \( C_{ii} = \mathrm{Cov}(X_i,\,X_i) = \mathrm{Var}(X_i) \). It turns out that -all the off-diagonal elements are zero if the stochastic variables are -uncorrelated. -

-
- - -

- - -

Covariance

-

- - -

# Importing various packages
-from math import exp, sqrt
-from random import random, seed
-import numpy as np
-import matplotlib.pyplot as plt
-
-def covariance(x, y, n):
-    sum = 0.0
-    mean_x = np.mean(x)
-    mean_y = np.mean(y)
-    for i in range(0, n):
-        sum += (x[(i)]-mean_x)*(y[i]-mean_y)
-    return  sum/n
-
-n = 10
-
-x=np.random.normal(size=n)
-y = 4+3*x+np.random.normal(size=n)
-covxy = covariance(x,y,n)
-print(covxy)
-z = np.vstack((x, y))
-c = np.cov(z.T)
-
-print(c)
-
-

- - -

Meet the covariance, uncorrelated events

-
-
-

- -

-This is easy to show, keeping in mind the linearity of -the expectation value. Consider the stochastic variables \( X_i \) and -\( X_j \), (\( i\neq j \)) -$$ -\begin{align*} -\mathrm{Cov}(X_i,\,X_j) &= \langle (x_i-\langle x_i\rangle)(x_j-\langle x_j\rangle)\rangle\\ -&=\langle x_i x_j - x_i\langle x_j\rangle - \langle x_i\rangle x_j + \langle x_i\rangle\langle x_j\rangle\rangle\\ -&=\langle x_i x_j\rangle - \langle x_i\langle x_j\rangle\rangle - \langle \langle x_i\rangle x_j \rangle + -\langle \langle x_i\rangle\langle x_j\rangle\rangle\\ -&=\langle x_i x_j\rangle - \langle x_i\rangle\langle x_j\rangle - \langle x_i\rangle\langle x_j\rangle + -\langle x_i\rangle\langle x_j\rangle\\ -&=\langle x_i x_j\rangle - \langle x_i\rangle\langle x_j\rangle -\end{align*} -$$ - -If \( X_i \) and \( X_j \) are independent, we get -$$ -\langle x_i x_j\rangle = -\langle x_i\rangle\langle x_j\rangle=\mathrm{Cov}(X_i, X_j) = 0\ \ (i\neq j). -$$ -

-
- - -

- - -

Numerical experiments and the covariance

-
-
-

- -

-Now that we have constructed an idealized mathematical framework, let -us try to apply it to empirical observations. Examples of relevant -physical phenomena may be spontaneous decays of nuclei, or a purely -mathematical set of numbers produced by some deterministic -mechanism. It is the latter we will deal with, using so-called pseudo-random -number generators. In general our observations will contain only a limited set of -observables. We remind the reader that -a stochastic process is a process that produces sequentially a -chain of values -$$ -\begin{equation*} -\{x_1, x_2,\dots\,x_k,\dots\}. -\end{equation*} -$$ -

-
- - -

- - -

Numerical experiments and the covariance

-
-
-

-We will call these -values our measurements and the entire set as our measured -sample. The action of measuring all the elements of a sample -we will call a stochastic experiment (since, operationally, -they are often associated with results of empirical observation of -some physical or mathematical phenomena; precisely an experiment). We -assume that these values are distributed according to some -PDF \( p_X^{\phantom X}(x) \), where \( X \) is just the formal symbol for the -stochastic variable whose PDF is \( p_X^{\phantom X}(x) \). Instead of -trying to determine the full distribution \( p \) we are often only -interested in finding the few lowest moments, like the mean -\( \mu_X^{\phantom X} \) and the variance \( \sigma_X^{\phantom X} \). -

-
- - -

- - -

Numerical experiments and the covariance, actual situations

-
-
-

-In practical situations however, a sample is always of finite size. Let that -size be \( n \). The expectation value of a sample \( \alpha \), the sample mean, is then defined as follows -$$ -\begin{equation*} -\langle x_{\alpha} \rangle \equiv \frac{1}{n}\sum_{k=1}^n x_{\alpha,k}. -\end{equation*} -$$ - -The sample variance is: -$$ -\begin{equation*} -\mathrm{Var}(x) \equiv \frac{1}{n}\sum_{k=1}^n (x_{\alpha,k} - \langle x_{\alpha} \rangle)^2, -\end{equation*} -$$ - -with its square root being the standard deviation of the sample. -

-
- - -

- - -

Numerical experiments and the covariance, our observables

-
-
-

-You can think of the above observables as a set of quantities which define -a given experiment. This experiment is then repeated several times, say \( m \) times. -The total average is then -$$ -\begin{equation} -\langle X_m \rangle= \frac{1}{m}\sum_{\alpha=1}^mx_{\alpha}=\frac{1}{mn}\sum_{\alpha, k} x_{\alpha,k}, -\label{eq:exptmean} -\end{equation} -$$ - -where the last sums end at \( m \) and \( n \). -The total variance is -$$ -\begin{equation*} -\sigma^2_m= \frac{1}{mn^2}\sum_{\alpha=1}^m(\langle x_{\alpha} \rangle-\langle X_m \rangle)^2, -\end{equation*} -$$ - -which we rewrite as -$$ -\begin{equation} -\sigma^2_m=\frac{1}{m}\sum_{\alpha=1}^m\sum_{kl=1}^n (x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,l}-\langle X_m \rangle). -\label{eq:exptvariance} -\end{equation} -$$ -

-
- - -

- - -

Numerical experiments and the covariance, the sample variance

-
-
-

- -

-We define also the sample variance \( \sigma^2 \) of all \( mn \) individual experiments as -$$ -\begin{equation} -\sigma^2=\frac{1}{mn}\sum_{\alpha=1}^m\sum_{k=1}^n (x_{\alpha,k}-\langle X_m \rangle)^2. -\label{eq:sampleexptvariance} -\end{equation} -$$ - -

-These quantities, being known experimental values or the results from our calculations, -may differ, in some cases -significantly, from the similarly named -exact values for the mean value \( \mu_X \), the variance \( \mathrm{Var}(X) \) -and the covariance \( \mathrm{Cov}(X,Y) \). -

-
- - -

- - -

Numerical experiments and the covariance, central limit theorem

-
-
-

- -

-The central limit theorem states that the PDF \( \tilde{p}(z) \) of -the average of \( m \) random values corresponding to a PDF \( p(x) \) -is a normal distribution whose mean is the -mean value of the PDF \( p(x) \) and whose variance is the variance -of the PDF \( p(x) \) divided by \( m \), the number of values used to compute \( z \). - -

-The central limit theorem leads then to the well-known expression for the -standard deviation, given by -$$ -\begin{equation*} - \sigma_m= -\frac{\sigma}{\sqrt{m}}. -\end{equation*} -$$ - -

-In many cases the above estimate for the standard deviation, in particular if correlations are strong, may be too simplistic. We need therefore a more precise defintion of the error and the variance in our results. -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation

-
-
-

-Our estimate of the true average \( \mu_{X} \) is the sample mean \( \langle X_m \rangle \) - -$$ -\begin{equation*} -\mu_{X}^{\phantom X} \approx X_m=\frac{1}{mn}\sum_{\alpha=1}^m\sum_{k=1}^n x_{\alpha,k}. -\end{equation*} -$$ - -

-We can then use Eq. \eqref{eq:exptvariance} -$$ -\begin{equation*} -\sigma^2_m=\frac{1}{mn^2}\sum_{\alpha=1}^m\sum_{kl=1}^n (x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,l}-\langle X_m \rangle), -\end{equation*} -$$ - -and rewrite it as -$$ -\begin{equation*} -\sigma^2_m=\frac{\sigma^2}{n}+\frac{2}{mn^2}\sum_{\alpha=1}^m\sum_{k < l}^n (x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,l}-\langle X_m \rangle), -\end{equation*} -$$ - -where the first term is the sample variance of all \( mn \) experiments divided by \( n \) -and the last term is nothing but the covariance which arises when \( k\ne l \). -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation

-
-
-

-Our estimate of the true average \( \mu_{X} \) is the sample mean \( \langle X_m \rangle \) - -

-If the -observables are uncorrelated, then the covariance is zero and we obtain a total variance -which agrees with the central limit theorem. Correlations may often be present in our data set, resulting in a non-zero covariance. The first term is normally called the uncorrelated -contribution. -Computationally the uncorrelated first term is much easier to treat -efficiently than the second. -We just accumulate separately the values \( x^2 \) and \( x \) for every -measurement \( x \) we receive. The correlation term, though, has to be -calculated at the end of the experiment since we need all the -measurements to calculate the cross terms. Therefore, all measurements -have to be stored throughout the experiment. -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation

-
-
-

- -

-Let us analyze the problem by splitting up the correlation term into -partial sums of the form - -$$ -\begin{equation*} -f_d = \frac{1}{nm}\sum_{\alpha=1}^m\sum_{k=1}^{n-d}(x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,k+d}-\langle X_m \rangle), -\end{equation*} -$$ - -The correlation term of the total variance can now be rewritten in terms of -\( f_d \) - -$$ -\begin{equation*} -\frac{2}{mn^2}\sum_{\alpha=1}^m\sum_{k < l}^n (x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,l}-\langle X_m \rangle)= -\frac{2}{n}\sum_{d=1}^{n-1} f_d -\end{equation*} -$$ -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation

-
-
-

-The value of \( f_d \) reflects the correlation between measurements -separated by the distance \( d \) in the samples. Notice that for -\( d=0 \), \( f \) is just the sample variance, \( \sigma^2 \). If we divide \( f_d \) -by \( \sigma^2 \), we arrive at the so called autocorrelation function - -$$ -\begin{equation} -\kappa_d = \frac{f_d}{\sigma^2} -\label{eq:autocorrelformal} -\end{equation} -$$ - -which gives us a useful measure of the correlation pair correlation -starting always at \( 1 \) for \( d=0 \). -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation, sample variance

-
-
-

- -

-The sample variance of the \( mn \) experiments can now be -written in terms of the autocorrelation function - -$$ -\begin{equation} -\sigma_m^2=\frac{\sigma^2}{n}+\frac{2}{n}\cdot\sigma^2\sum_{d=1}^{n-1} -\frac{f_d}{\sigma^2}=\left(1+2\sum_{d=1}^{n-1}\kappa_d\right)\frac{1}{n}\sigma^2=\frac{\tau}{n}\cdot\sigma^2 -\label{eq:error_estimate_corr_time} -\end{equation} -$$ - -and we see that \( \sigma_m \) can be expressed in terms of the -uncorrelated sample variance times a correction factor \( \tau \) which -accounts for the correlation between measurements. We call this -correction factor the autocorrelation time - -$$ -\begin{equation} -\tau = 1+2\sum_{d=1}^{n-1}\kappa_d -\label{eq:autocorrelation_time} -\end{equation} -$$ - - - -For a correlation free experiment, \( \tau \) -equals 1. -

-
- - -

- - -

Definition of Correlation Functions and Standard Deviation

-
-
-

-From the point of view of -Eq. \eqref{eq:error_estimate_corr_time} we can interpret a sequential -correlation as an effective reduction of the number of measurements by -a factor \( \tau \). The effective number of measurements becomes -$$ -\begin{equation*} -n_\mathrm{eff} = \frac{n}{\tau} -\end{equation*} -$$ - -To neglect the autocorrelation time \( \tau \) will always cause our -simple uncorrelated estimate of \( \sigma_m^2\approx \sigma^2/n \) to -be less than the true sample error. The estimate of the error will be -too "good". On the other hand, the calculation of the full -autocorrelation time poses an efficiency problem if the set of -measurements is very large. The solution to this problem is given by -more practically oriented methods like the blocking technique. - -

-
- - -

- - -

Code to compute the Covariance matrix and the Covariance

-

- - -

# Importing various packages
-from math import exp, sqrt
-from random import random, seed
-import numpy as np
-import matplotlib.pyplot as plt
-
-# Sample covariance, note the factor 1/(n-1)
-def covariance(x, y, n):
-    sum = 0.0
-    mean_x = np.mean(x)
-    mean_y = np.mean(y)
-    for i in range(0, n):
-        sum += (x[(i)]-mean_x)*(y[i]-mean_y)
-    return  sum/(n-1.)
-
-n = 100
-x = np.random.normal(size=n)
-print(np.mean(x))
-y = 4+3*x+np.random.normal(size=n)
-print(np.mean(y))
-z = x**3+np.random.normal(size=n)
-print(np.mean(z))
-covxx = covariance(x,x,n)
-covyy = covariance(y,y,n)
-covzz = covariance(z,z,n)
-covxy = covariance(x,y,n)
-covxz = covariance(x,z,n)
-covyz = covariance(y,z,n)
-print(covxx,covyy, covzz)
-print(covxy,covxz, covyz)
-w = np.vstack((x, y, z))
-#print(w)
-c = np.cov(w)
-print(c)
-#eigen = np.zeros(n)
-Eigvals, Eigvecs = np.linalg.eig(c)
-print(Eigvals)
-
-

- - -

Random Numbers

-
-
-

- -

-Uniform deviates are just random numbers that lie within a specified range -(typically 0 to 1), with any one number in the range just as likely as any other. They -are, in other words, what you probably think random numbers are. However, -we want to distinguish uniform deviates from other sorts of random numbers, for -example numbers drawn from a normal (Gaussian) distribution of specified mean -and standard deviation. These other sorts of deviates are almost always generated by -performing appropriate operations on one or more uniform deviates, as we will see -in subsequent sections. So, a reliable source of random uniform deviates, the subject -of this section, is an essential building block for any sort of stochastic modeling -or Monte Carlo computer work. -

-
- - -

- - -

Random Numbers, better name: pseudo random numbers

-
-
-

- -

-A disclaimer is however appropriate. It should be fairly obvious that -something as deterministic as a computer cannot generate purely random numbers. - -

-Numbers generated by any of the standard algorithms are in reality pseudo random -numbers, hopefully abiding to the following criteria: - -

    -
  • they produce a uniform distribution in the interval [0,1].
  • -
  • correlations between random numbers are negligible
  • -
  • the period before the same sequence of random numbers is repeated is as large as possible and finally
  • -
  • the algorithm should be fast.
  • -
-
-
- - -

- - -

Random number generator RNG

-
-
-

- The most common random number generators are based on so-called -Linear congruential relations of the type - -$$ -\begin{equation*} - N_i=(aN_{i-1}+c) \mathrm{MOD} (M), -\end{equation*} -$$ - -which yield a number in the interval [0,1] through - -$$ -\begin{equation*} - x_i=N_i/M -\end{equation*} -$$ - -

-The number -\( M \) is called the period and it should be as large as possible - and -\( N_0 \) is the starting value, or seed. The function \( \mathrm{MOD} \) means the remainder, -that is if we were to evaluate \( (13)\mathrm{MOD}(9) \), the outcome is the remainder -of the division \( 13/9 \), namely \( 4 \). -

-
- - -

- - -

Random number generator RNG and periodic outputs

-
-
-

- -

-The problem with such generators is that their outputs are periodic; -they -will start to repeat themselves with a period that is at most \( M \). If however -the parameters \( a \) and \( c \) are badly chosen, the period may be even shorter. - -

-Consider the following example - -$$ -\begin{equation*} - N_i=(6N_{i-1}+7) \mathrm{MOD} (5), -\end{equation*} -$$ - -with a seed \( N_0=2 \). This generator produces the sequence -\( 4,1,3,0,2,4,1,3,0,2,...\dots \), i.e., a sequence with period \( 5 \). -However, increasing \( M \) may not guarantee a larger period as the following -example shows - -$$ -\begin{equation*} - N_i=(27N_{i-1}+11) \mathrm{MOD} (54), -\end{equation*} -$$ - -which still, with \( N_0=2 \), results in \( 11,38,11,38,11,38,\dots \), a period of -just \( 2 \). -

-
- - -

- - -

Random number generator RNG and its period

-
-
-

-Typical periods for the random generators provided in the program library -are of the order of \( \sim 10^9 \) or larger. Other random number generators which have -become increasingly popular are so-called shift-register generators. -In these generators each successive number depends on many preceding -values (rather than the last values as in the linear congruential -generator). -For example, you could make a shift register generator whose $l$th -number is the sum of the $l-i$th and $l-j$th values with modulo \( M \), -$$ -\begin{equation*} - N_l=(aN_{l-i}+cN_{l-j})\mathrm{MOD}(M). -\end{equation*} -$$ -

-
- - -

- - -

Random number generator RNG, other examples

-
-
-

-Such a generator again produces a sequence of pseudorandom numbers -but this time with a period much larger than \( M \). -It is also possible to construct more elaborate algorithms by including -more than two past terms in the sum of each iteration. -One example is the generator of Marsaglia and Zaman -which consists of two congruential relations - -$$ -\begin{equation} - N_l=(N_{l-3}-N_{l-1})\mathrm{MOD}(2^{31}-69), -\label{eq:mz1} -\end{equation} -$$ - -followed by -$$ -\begin{equation} - N_l=(69069N_{l-1}+1013904243)\mathrm{MOD}(2^{32}), -\label{eq:mz2} -\end{equation} -$$ - -which according to the authors has a period larger than \( 2^{94} \). -

-
- - -

- - -

Random number generator RNG, other examples

-
-
-

-Instead of using modular addition, we could use the bitwise -exclusive-OR (\( \oplus \)) operation so that - -$$ -\begin{equation*} - N_l=(N_{l-i})\oplus (N_{l-j}) -\end{equation*} -$$ - -where the bitwise action of \( \oplus \) means that if \( N_{l-i}=N_{l-j} \) the result is -\( 0 \) whereas if \( N_{l-i}\ne N_{l-j} \) the result is -\( 1 \). As an example, consider the case where \( N_{l-i}=6 \) and \( N_{l-j}=11 \). The first -one has a bit representation (using 4 bits only) which reads \( 0110 \) whereas the -second number is \( 1011 \). Employing the \( \oplus \) operator yields -\( 1101 \), or \( 2^3+2^2+2^0=13 \). - -

-In Fortran90, the bitwise \( \oplus \) operation is coded through the intrinsic -function \( \mathrm{IEOR}(m,n) \) where \( m \) and \( n \) are the input numbers, while in \( C \) -it is given by \( m\wedge n \). -

-
- - -

- - -

Random number generator RNG, RAN0

-
-
-

- -

-We show here how the linear congruential algorithm can be implemented, namely -$$ -\begin{equation*} - N_i=(aN_{i-1}) \mathrm{MOD} (M). -\end{equation*} -$$ - -However, since \( a \) and \( N_{i-1} \) are integers and their multiplication -could become greater than the standard 32 bit integer, there is a trick via -Schrage's algorithm which approximates the multiplication -of large integers through the factorization -$$ -\begin{equation*} - M=aq+r, -\end{equation*} -$$ - -where we have defined - -$$ -\begin{equation*} - q=[M/a], -\end{equation*} -$$ - -and -$$ -\begin{equation*} - r = M\hspace{0.1cm}\mathrm{MOD} \hspace{0.1cm}a. -\end{equation*} -$$ - -where the brackets denote integer division. In the code below the numbers -\( q \) and \( r \) are chosen so that \( r < q \). -

-
- - -

- - -

Random number generator RNG, RAN0

-
-
-

- -

-To see how this works we note first that -$$ -\begin{equation} -(aN_{i-1}) \mathrm{MOD} (M)= (aN_{i-1}-[N_{i-1}/q]M)\mathrm{MOD} (M), -\label{eq:rntrick1} -\end{equation} -$$ - -since we can add or subtract any integer multiple of \( M \) from \( aN_{i-1} \). -The last term \( [N_{i-1}/q]M\mathrm{MOD}(M) \) is zero since the integer division -\( [N_{i-1}/q] \) just yields a constant which is multiplied with \( M \). -

-
- - -

- - -

Random number generator RNG, RAN0

-
-
-

-We can now rewrite Eq. \eqref{eq:rntrick1} as - -$$ -\begin{equation} -(aN_{i-1}) \mathrm{MOD} (M)= (aN_{i-1}-[N_{i-1}/q](aq+r))\mathrm{MOD} (M), -\label{eq:rntrick2} -\end{equation} -$$ - -which results -in - -$$ -\begin{equation} -(aN_{i-1}) \mathrm{MOD} (M)= \left(a(N_{i-1}-[N_{i-1}/q]q)-[N_{i-1}/q]r)\right)\mathrm{MOD} (M), -\label{eq:rntrick3} -\end{equation} -$$ - -yielding -$$ -\begin{equation} -(aN_{i-1}) \mathrm{MOD} (M)= \left(a(N_{i-1}\mathrm{MOD} (q)) -[N_{i-1}/q]r)\right)\mathrm{MOD} (M). -\label{eq:rntrick4} -\end{equation} -$$ -

-
- - -

- - -

Random number generator RNG, RAN0

-
-
-

-The term \( [N_{i-1}/q]r \) is always smaller or equal \( N_{i-1}(r/q) \) and with \( r < q \) we obtain always a -number smaller than \( N_{i-1} \), which is smaller than \( M \). -And since the number \( N_{i-1}\mathrm{MOD} (q) \) is between zero and \( q-1 \) then -\( a(N_{i-1}\mathrm{MOD} (q)) < aq \). Combined with our definition of \( q=[M/a] \) ensures that -this term is also smaller than \( M \) meaning that both terms fit into a -32-bit signed integer. None of these two terms can be negative, but their difference could. -The algorithm below adds \( M \) if their difference is negative. -Note that the program uses the bitwise \( \oplus \) operator to generate -the starting point for each generation of a random number. The period -of \( ran0 \) is \( \sim 2.1\times 10^{9} \). A special feature of this -algorithm is that is should never be called with the initial seed -set to \( 0 \). -

-
- - -

- - -

Random number generator RNG, RAN0 code

-
-
-

- -

- - -

    /*
-     ** The function
-     **           ran0()
-     ** is an "Minimal" random number generator of Park and Miller
-     ** Set or reset the input value
-     ** idum to any integer value (except the unlikely value MASK)
-     ** to initialize the sequence; idum must not be altered between
-     ** calls for sucessive deviates in a sequence.
-     ** The function returns a uniform deviate between 0.0 and 1.0.
-     */
-double ran0(long &idum)
-{
-   const int a = 16807, m = 2147483647, q = 127773;
-   const int r = 2836, MASK = 123459876;
-   const double am = 1./m;
-   long     k;
-   double   ans;
-   idum ^= MASK;
-   k = (*idum)/q;
-   idum = a*(idum - k*q) - r*k;
-   // add m if negative difference
-   if(idum < 0) idum += m;
-   ans=am*(idum);
-   idum ^= MASK;
-   return ans;
-} // End: function ran0() 
-
-

-

-
- - -

- - -

Properties of Selected Random Number Generators

-
-
-

- -

-As mentioned previously, the underlying PDF for the generation of -random numbers is the uniform distribution, meaning that the -probability for finding a number \( x \) in the interval [0,1] is \( p(x)=1 \). - -

-A random number generator should produce numbers which are uniformly distributed -in this interval. The table shows the distribution of \( N=10000 \) random -numbers generated by the functions in the program library. -We note in this table that the number of points in the various -intervals \( 0.0-0.1 \), \( 0.1-0.2 \) etc are fairly close to \( 1000 \), with some minor -deviations. - -

-Two additional measures are the standard deviation \( \sigma \) and the mean -\( \mu=\langle x\rangle \). -

-
- - -

- - -

Properties of Selected Random Number Generators

-
-
-

-For the uniform distribution, the mean value \( \mu \) is then - -$$ -\begin{equation*} - \mu=\langle x\rangle=\frac{1}{2} -\end{equation*} -$$ - -while the standard deviation is - -$$ -\begin{equation*} - \sigma=\sqrt{\langle x^2\rangle-\mu^2}=\frac{1}{\sqrt{12}}=0.2886. -\end{equation*} -$$ -

-
- - -

- - -

Properties of Selected Random Number Generators

-
-
-

-The various random number generators produce results which agree rather well with -these limiting values. - -

- -

-
- - - - - - - - - - - - - - - - - - -
\( x \)-bin ran0 ran1 ran2 ran3
0.0-0.1 1013 991 938 1047
0.1-0.2 1002 1009 1040 1030
0.2-0.3 989 999 1030 993
0.3-0.4 939 960 1023 937
0.4-0.5 1038 1001 1002 992
0.5-0.6 1037 1047 1009 1009
0.6-0.7 1005 989 1003 989
0.7-0.8 986 962 985 954
0.8-0.9 1000 1027 1009 1023
0.9-1.0 991 1015 961 1026
\( \mu \) 0.4997 0.5018 0.4992 0.4990
\( \sigma \) 0.2882 0.2892 0.2861 0.2915
-
-
-

-

-
- - -

- - -

Simple demonstration of RNGs using python

-
-
-

-The following simple Python code plots the distribution of the produced random numbers using the linear congruential RNG employed by Python. The trend displayed in the previous table is seen rather clearly. -

- - -

-

-

-
- - -

- - -

Properties of Selected Random Number Generators

-
-
-

-Since our random numbers, which are typically generated via a linear congruential algorithm, -are never fully independent, we can then define -an important test which measures the degree of correlation, namely the so-called -auto-correlation function defined previously, see again Eq. \eqref{eq:autocorrelformal}. -We rewrite it here as -$$ -\begin{equation*} - C_k=\frac{f_d} - {\sigma^2}, -\end{equation*} -$$ - -with \( C_0=1 \). Recall that -\( \sigma^2=\langle x_i^2\rangle-\langle x_i\rangle^2 \) and that -$$ -\begin{equation*} -f_d = \frac{1}{nm}\sum_{\alpha=1}^m\sum_{k=1}^{n-d}(x_{\alpha,k}-\langle X_m \rangle)(x_{\alpha,k+d}-\langle X_m \rangle), -\end{equation*} -$$ - -

-The non-vanishing of \( C_k \) for \( k\ne 0 \) means that the random -numbers are not independent. The independence of the random numbers is crucial -in the evaluation of other expectation values. If they are not independent, our -assumption for approximating \( \sigma_N \) is no longer valid. - -

-

-
- - -

- - -

Autocorrelation function

-This program computes the autocorrelation function as discussed in the equation on the previous slide for random numbers generated with the normal distribution \( N(0,1) \). -

- - -

# Importing various packages
-from math import exp, sqrt
-from random import random, seed
-import numpy as np
-import matplotlib.pyplot as plt
-
-def autocovariance(x, n, k, mean_x):
-    sum = 0.0
-    for i in range(0, n-k):
-        sum += (x[(i+k)]-mean_x)*(x[i]-mean_x)
-    return  sum/n
-
-n = 1000
-x=np.random.normal(size=n)
-autocor = np.zeros(n)
-figaxis = np.zeros(n)
-mean_x=np.mean(x)
-var_x = np.var(x)
-print(mean_x, var_x)
-for i in range (0, n):
-    figaxis[i] = i
-    autocor[i]=(autocovariance(x, n, i, mean_x))/var_x    
-
-plt.plot(figaxis, autocor, "r-")
-plt.axis([0,n,-0.1, 1.0])
-plt.xlabel(r'$i$')
-plt.ylabel(r'$\gamma_i$')
-plt.title(r'Autocorrelation function')
-plt.show()
-
-

-As can be seen from the plot, the first point gives back the variance and a value of one. -For the remaining values we notice that there are still non-zero values for the auto-correlation function. - -

- - -

Correlation function and which random number generators should I use

-
-
-

-The program here computes the correlation function for one of the standard functions included with the c++ compiler. -

- - -

//  This function computes the autocorrelation function for 
-//  the standard c++ random number generator
-
-#include <fstream>
-#include <iomanip>
-#include <iostream>
-#include <cmath>
-using namespace std;
-// output file as global variable
-ofstream ofile;  
-
-//     Main function begins here     
-int main(int argc, char* argv[])
-{
-     int n;
-     char *outfilename;
-
-     cin >> n;
-     double MCint = 0.;      double MCintsqr2=0.;
-     double invers_period = 1./RAND_MAX; // initialise the random number generator
-     srand(time(NULL));  // This produces the so-called seed in MC jargon
-     // Compute the variance and the mean value of the uniform distribution
-     // Compute also the specific values x for each cycle in order to be able to
-     // the covariance and the correlation function  
-     // Read in output file, abort if there are too few command-line arguments
-     if( argc <= 2 ){
-       cout << "Bad Usage: " << argv[0] << 
-	 " read also output file and number of cycles on same line" << endl;
-       exit(1);
-     }
-     else{
-       outfilename=argv[1];
-     }
-     ofile.open(outfilename); 
-     // Get  the number of Monte-Carlo samples
-     n = atoi(argv[2]);
-     double *X;  
-     X = new double[n];
-     for (int i = 0;  i < n; i++){
-           double x = double(rand())*invers_period; 
-           X[i] = x;
-           MCint += x;
-           MCintsqr2 += x*x;
-     }
-     double Mean = MCint/((double) n );
-     MCintsqr2 = MCintsqr2/((double) n );
-     double STDev = sqrt(MCintsqr2-Mean*Mean);
-     double Variance = MCintsqr2-Mean*Mean;
-//   Write mean value and standard deviation 
-     cout << " Standard deviation= " << STDev << " Integral = " << Mean << endl;
-
-     // Now we compute the autocorrelation function
-     double *autocor;  autocor = new double[n];
-     for (int j = 0; j < n; j++){
-       double sum = 0.0;
-       for (int k = 0; k < (n-j); k++){
-	 sum  += (X[k]-Mean)*(X[k+j]-Mean); 
-       }
-       autocor[j] = sum/Variance/((double) n );
-       ofile << setiosflags(ios::showpoint | ios::uppercase);
-       ofile << setw(15) << setprecision(8) << j;
-       ofile << setw(15) << setprecision(8) << autocor[j] << endl;
-     }
-     ofile.close();  // close output file
-     return 0;
-}  // end of main program 
-
-

-

-
- - -

- - -

Which RNG should I use?

-
-
-

- -

    -
  • C++ has a class called random. The random class contains a large selection of RNGs and is highly recommended. Some of these RNGs have very large periods making it thereby very safe to use these RNGs in case one is performing large calculations. In particular, the Mersenne twister random number engine has a period of \( 2^{19937} \).
  • -
  • Add RNGs in Python
  • -
-
-
- - -

- - -

How to use the Mersenne generator

-
-
-

-The following part of a c++ code (from project 4) sets up the uniform distribution for \( x\in [0,1] \). -

- - -

/*
-
-//  You need this 
-#include <random>
-
-// Initialize the seed and call the Mersienne algo
-std::random_device rd;
-std::mt19937_64 gen(rd());
-// Set up the uniform distribution for x \in [[0, 1]
-std::uniform_real_distribution<double> RandomNumberGenerator(0.0,1.0);
-
-// Now use the RNG
-int ix = (int) (RandomNumberGenerator(gen)*NSpins);
-
-

-

-
- - -

- - -

Why blocking?

-
-
-

- -

    -
  • Monte Carlo simulations can be treated as computer experiments
  • -
  • The results can be analysed with the same statistical tools as we would use analysing experimental data.
  • -
  • As in all experiments, we are looking for expectation values and an estimate of how accurate they are, i.e., possible sources for errors.
  • -
- -A very good article which explains blocking is H. Flyvbjerg and H. G. Petersen, Error estimates on averages of correlated data, Journal of Chemical Physics 91, 461-466 (1989). - -

-

-
- - -

- - -

Why blocking?

-
-
-

- -

    -
  • As in other experiments, Monte Carlo experiments have two classes of errors:
  • - -
      -
    • Statistical errors
    • -
    • Systematical errors
    • -
    - -
  • Statistical errors can be estimated using standard tools from statistics
  • -
  • Systematical errors are method specific and must be treated differently from case to case. (In VMC a common source is the step length or time step in importance sampling)
  • -
-
-
- - -

- - -

Code to demonstrate the calculation of the autocorrelation function

-The following code computes the autocorrelation function, the covariance and the standard deviation -for standard RNG. -The following file gives the code. -

- - -

//  This function computes the autocorrelation function for 
-//  the Mersenne random number generator with a uniform distribution
-#include <iostream>
-#include <fstream>
-#include <iomanip>
-#include <cstdlib>
-#include <random>
-#include <armadillo>
-#include <string>
-#include <cmath>
-using namespace  std;
-using namespace arma;
-// output file
-ofstream ofile;
-
-//     Main function begins here     
-int main(int argc, char* argv[])
-{
-  int MonteCarloCycles;
-  string filename;
-  if (argc > 1) {
-    filename=argv[1];
-    MonteCarloCycles = atoi(argv[2]);
-    string fileout = filename;
-    string argument = to_string(MonteCarloCycles);
-    fileout.append(argument);
-    ofile.open(fileout);
-  }
-
-  // Compute the variance and the mean value of the uniform distribution
-  // Compute also the specific values x for each cycle in order to be able to
-  // compute the covariance and the correlation function  
-
-  vec X  = zeros<vec>(MonteCarloCycles);
-  double MCint = 0.;      double MCintsqr2=0.;
-  std::random_device rd;
-  std::mt19937_64 gen(rd());
-  // Set up the uniform distribution for x \in [[0, 1]
-  std::uniform_real_distribution<double> RandomNumberGenerator(0.0,1.0);
-  for (int i = 0;  i < MonteCarloCycles; i++){
-    double x =   RandomNumberGenerator(gen); 
-    X(i) = x;
-    MCint += x;
-    MCintsqr2 += x*x;
-  }
-  double Mean = MCint/((double) MonteCarloCycles );
-  MCintsqr2 = MCintsqr2/((double) MonteCarloCycles );
-  double STDev = sqrt(MCintsqr2-Mean*Mean);
-  double Variance = MCintsqr2-Mean*Mean;
-  //   Write mean value and variance
-  cout << " Sample variance= " << Variance  << " Mean value = " << Mean << endl;
-  // Now we compute the autocorrelation function
-  vec autocorrelation = zeros<vec>(MonteCarloCycles);
-  for (int j = 0; j < MonteCarloCycles; j++){
-    double sum = 0.0;
-    for (int k = 0; k < (MonteCarloCycles-j); k++){
-      sum  += (X(k)-Mean)*(X(k+j)-Mean); 
-    }
-    autocorrelation(j) = sum/Variance/((double) MonteCarloCycles );
-    ofile << setiosflags(ios::showpoint | ios::uppercase);
-    ofile << setw(15) << setprecision(8) << j;
-    ofile << setw(15) << setprecision(8) << autocorrelation(j) << endl;
-  }
-  // Now compute the exact covariance using the autocorrelation function
-  double Covariance = 0.0;
-  for (int j = 0; j < MonteCarloCycles; j++){
-    Covariance  += autocorrelation(j);
-  }
-  Covariance *=  2.0/((double) MonteCarloCycles);
-  // Compute now the total variance, including the covariance, and obtain the standard deviation
-  double TotalVariance = (Variance/((double) MonteCarloCycles ))+Covariance;
-  cout << "Covariance =" << Covariance << "Totalvariance= " << TotalVariance << "Sample Variance/n= " << (Variance/((double) MonteCarloCycles )) << endl;
-  cout << " STD from sample variance= " << sqrt(Variance/((double) MonteCarloCycles )) << " STD with covariance = " << sqrt(TotalVariance) << endl;
-
-  ofile.close();  // close output file
-  return 0;
-}  // end of main program 
-
-

- - -

What is blocking?

-
-
-

- -

    -
  • Say that we have a set of samples from a Monte Carlo experiment
  • -
  • Assuming (wrongly) that our samples are uncorrelated our best estimate of the standard deviation of the mean \( \langle \mathbf{M}\rangle \) is given by
  • -
- -$$ -\sigma=\sqrt{\frac{1}{n}\left(\langle \mathbf{M}^2\rangle-\langle \mathbf{M}\rangle^2\right)} -$$ - - -
    -
  • If the samples are correlated we can rewrite our results to show that
  • -
- -$$ -\sigma=\sqrt{\frac{1+2\tau/\Delta t}{n}\left(\langle \mathbf{M}^2\rangle-\langle \mathbf{M}\rangle^2\right)} -$$ - - where \( \tau \) is the correlation time (the time between a sample and the next uncorrelated sample) and \( \Delta t \) is time between each sample -
-
- - -

- - -

What is blocking?

-
-
-

- -

    -
  • If \( \Delta t\gg\tau \) our first estimate of \( \sigma \) still holds
  • -
  • Much more common that \( \Delta t < \tau \)
  • -
  • In the method of data blocking we divide the sequence of samples into blocks
  • -
  • We then take the mean \( \langle \mathbf{M}_i\rangle \) of block \( i=1\ldots n_{blocks} \) to calculate the total mean and variance
  • -
  • The size of each block must be so large that sample \( j \) of block \( i \) is not correlated with sample \( j \) of block \( i+1 \)
  • -
  • The correlation time \( \tau \) would be a good choice
  • -
-
-
- - -

- - -

What is blocking?

-
-
-

- -

    -
  • Problem: We don't know \( \tau \) or it is too expensive to compute
  • -
  • Solution: Make a plot of std. dev. as a function of blocksize
  • -
  • The estimate of std. dev. of correlated data is too low \( \to \) the error will increase with increasing block size until the blocks are uncorrelated, where we reach a plateau
  • -
  • When the std. dev. stops increasing the blocks are uncorrelated
  • -
-
-
- - -

- - -

Implementation

-
-
-

- -

    -
  • Do a Monte Carlo simulation, storing all samples to file
  • -
  • Do the statistical analysis on this file, independently of your Monte Carlo program
  • -
  • Read the file into an array
  • -
  • Loop over various block sizes
  • -
  • For each block size \( n_b \), loop over the array in steps of \( n_b \) taking the mean of elements \( i n_b,\ldots,(i+1) n_b \)
  • -
  • Take the mean and variance of the resulting array
  • -
  • Write the results for each block size to file for later - analysis
  • -
-
-
- - -

- - -

Actual implementation with code, main function

-When the file gets large, it can be useful to write your data in binary mode instead of ascii characters. -The following python file reads data from file with the output from every Monte Carlo cycle. -

- - -

# Blocking
-    @timeFunction
-    def blocking(self, blockSizeMax = 500):
-        blockSizeMin = 1
-
-        self.blockSizes = []
-        self.meanVec = []
-        self.varVec = []
-
-        for i in range(blockSizeMin, blockSizeMax):
-            if(len(self.data) % i != 0):
-                pass#continue
-            blockSize = i
-            meanTempVec = []
-            varTempVec = []
-            startPoint = 0
-            endPoint = blockSize
-
-            while endPoint <= len(self.data):
-                meanTempVec.append(np.average(self.data[startPoint:endPoint]))
-                startPoint = endPoint
-                endPoint += blockSize
-            mean, var = np.average(meanTempVec), np.var(meanTempVec)/len(meanTempVec)
-            self.meanVec.append(mean)
-            self.varVec.append(var)
-            self.blockSizes.append(blockSize)
-
-        self.blockingAvg = np.average(self.meanVec[-200:])
-        self.blockingVar = (np.average(self.varVec[-200:]))
-        self.blockingStd = np.sqrt(self.blockingVar)
-
-

- - -

The Bootstrap method

- -

-The Bootstrap resampling method is also very popular. It is very simple: - -

    -
  1. Start with your sample of measurements and compute the sample variance and the mean values
  2. -
  3. Then start again but pick in a random way the numbers in the sample and recalculate the mean and the sample variance.
  4. -
  5. Repeat this \( K \) times.
  6. -
- -It can be shown, see the article by Efron -that it produces the correct standard deviation. - -

-This method is very useful for small ensembles of data points. - -

- - -

Bootstrapping

-Given a set of \( N \) data, assume that we are interested in some -observable \( \theta \) which may be estimated from that set. This observable can also be for example the result of a fit based on all \( N \) raw data. -Let us call the value of the observable obtained from the original -data set \( \hat{\theta} \). One recreates from the sample repeatedly -other samples by choosing randomly \( N \) data out of the original set. -This costs essentially nothing, since we just recycle the original data set for the building of new sets. - -

- - -

Bootstrapping, recipe

-Let us assume we have done this \( K \) times and thus have \( K \) sets of \( N \) -data values each. -Of course some values will enter more than once in the new sets. For each of these sets one computes the observable \( \theta \) resulting in values \( \theta_k \) with \( k = 1,...,K \). Then one determines -$$ -\tilde{\theta} = \frac{1}{K} \sum_{k=1}^K \theta_k, -$$ - -and -$$ -sigma^2_{\tilde{\theta}} = \frac{1}{K} \sum_{k=1}^K \left(\theta_k-\tilde{\theta}\right)^2. -$$ - -

-These are estimators for \( \angle\theta\rangle \) and its variance. They are not unbiased and therefore -\( \tilde{\theta}\neq\hat{\theta} \) for finite K. - -

-The difference is called bias and gives an idea on how far away the result may be from -the true \( \angle\theta\rangle \). As final result for the observable one quotes \( \angle\theta\rangle = \tilde{\theta} \pm \sigma_{\tilde{\theta}} \) . - -

- - -

Bootstrapping, code

-

- - -

# Bootstrap
-    @timeFunction
-    def bootstrap(self, nBoots = 1000):
-        bootVec = np.zeros(nBoots)
-        for k in range(0,nBoots):
-            bootVec[k] = np.average(np.random.choice(self.data, len(self.data)))
-        self.bootAvg = np.average(bootVec)
-        self.bootVar = np.var(bootVec)
-        self.bootStd = np.std(bootVec)
-
-

- - -

Jackknife, code

-

- - -

# Jackknife
-    @timeFunction
-    def jackknife(self):
-        jackknVec = np.zeros(len(self.data))
-        for k in range(0,len(self.data)):
-            jackknVec[k] = np.average(np.delete(self.data, k))
-        self.jackknAvg = self.avg - (len(self.data) - 1) * (np.average(jackknVec) - self.avg)
-        self.jackknVar = float(len(self.data) - 1) * np.var(jackknVec)
-        self.jackknStd = np.sqrt(self.jackknVar)
-
-

- diff --git a/doc/pub/Statistics/html/Statistics-reveal.html b/doc/pub/Statistics/html/Statistics-reveal.html index b5b596ff1..c80275c6a 100644 --- a/doc/pub/Statistics/html/Statistics-reveal.html +++ b/doc/pub/Statistics/html/Statistics-reveal.html @@ -163,7 +163,7 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

 
-

May 22, 2018

+

Aug 24, 2018


@@ -176,6 +176,7 @@ MathJax.Hub.Config({

Things to add

Add general statistic elements (probability theory mainly), assumed knowledge +Repeat basic definitions.
@@ -609,16 +610,16 @@ while \( P(x) \) is the cumulative probability.

- + - - - - - - - + + + + + + +
Discrete PDF Continuous PDF
Discrete PDF Continuous PDF
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0\le p(x_i)\le 1$ $ p(x) \ge 0$
Positivity $ 0\le P_i\le 1$ $ 0\le P(x)\le 1$
Monotonic \( P_i\ge P_j \) if \( x_i\ge x_j \) \( P(x_i)\ge P(x_j) \) if \( x_i\ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0 \le p(x_i) \le 1$ $ p(x) \ge 0$
Positivity $ 0 \le P_i \le 1$ $ 0 \le P(x) \le 1$
Monotonic \( P_i \ge P_j \) if \( x_i \ge x_j \) \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
diff --git a/doc/pub/Statistics/html/Statistics-solarized.html b/doc/pub/Statistics/html/Statistics-solarized.html index a05a6f9c3..4a9e98699 100644 --- a/doc/pub/Statistics/html/Statistics-solarized.html +++ b/doc/pub/Statistics/html/Statistics-solarized.html @@ -322,13 +322,14 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

-

May 22, 2018

+

Aug 24, 2018












Things to add

Add general statistic elements (probability theory mainly), assumed knowledge +Repeat basic definitions.











@@ -741,16 +742,16 @@ while \( P(x) \) is the cumulative probability.

- + - - - - - - - + + + + + + +
Discrete PDF Continuous PDF
Discrete PDF Continuous PDF
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0\le p(x_i)\le 1$ $ p(x) \ge 0$
Positivity $ 0\le P_i\le 1$ $ 0\le P(x)\le 1$
Monotonic \( P_i\ge P_j \) if \( x_i\ge x_j \) \( P(x_i)\ge P(x_j) \) if \( x_i\ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0 \le p(x_i) \le 1$ $ p(x) \ge 0$
Positivity $ 0 \le P_i \le 1$ $ 0 \le P(x) \le 1$
Monotonic \( P_i \ge P_j \) if \( x_i \ge x_j \) \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
diff --git a/doc/pub/Statistics/html/Statistics.html b/doc/pub/Statistics/html/Statistics.html index c309295f5..17bb69ebf 100644 --- a/doc/pub/Statistics/html/Statistics.html +++ b/doc/pub/Statistics/html/Statistics.html @@ -327,13 +327,14 @@ MathJax.Hub.Config({

[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

-

May 22, 2018

+

Aug 24, 2018












Things to add

Add general statistic elements (probability theory mainly), assumed knowledge +Repeat basic definitions.











@@ -746,16 +747,16 @@ while \( P(x) \) is the cumulative probability.

- + - - - - - - - + + + + + + +
Discrete PDF Continuous PDF
Discrete PDF Continuous PDF
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0\le p(x_i)\le 1$ $ p(x) \ge 0$
Positivity $ 0\le P_i\le 1$ $ 0\le P(x)\le 1$
Monotonic \( P_i\ge P_j \) if \( x_i\ge x_j \) \( P(x_i)\ge P(x_j) \) if \( x_i\ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
Domain \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \) \( [a,b] \)
Probability \( p(x_i) \) \( p(x)dx \)
Cumulative \( P_i=\sum_{l=1}^ip(x_l) \) \( P(x)=\int_a^xp(t)dt \)
Positivity $ 0 \le p(x_i) \le 1$ $ p(x) \ge 0$
Positivity $ 0 \le P_i \le 1$ $ 0 \le P(x) \le 1$
Monotonic \( P_i \ge P_j \) if \( x_i \ge x_j \) \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)
Normalization \( P_N=1 \) \( P(b)=1 \)
diff --git a/doc/pub/Statistics/ipynb b/doc/pub/Statistics/ipynb index 4b9249be139f86820f283cd2ba560c7d86e01e67..fb68379bd153055addeaab06b3f753aea3b40d0a 100644 GIT binary patch literal 213 zcmb2|=3sc;RUgg3{Pw)B-(drRwukGgyDS}_T=CrOwuoEIgJVa7cT7^;0MIY6g&37}FI(ujRx^?;CQ|n&6$>}jXy=-D_+39Z+(hAq`zjD>xx^>%YpX_Mu zG_6}{YR_ua|K1QSt+Yz5__*=MkJoohw%wd_qqxR(-{<}c8K;S}cL%nMsH%N^Jtgj` zd6*=uQ7`w7xldG%)5qJFn)h?LWw83>pj!0J8dKx&QzG literal 212 zcmb2|=3o%2XNhKDetZ6)ACsZLvBGmUM{N!+ix&Hqqr}dq=2qMINNjtP?l$K~`)s*Y zsxCxMAlV=WpdiE_Z@@2cWXGo&n2ch8uA`G$9G*zKrSH_u#ImMfio zw8u4BJ!xI}rRmOr(~k%L3YYKhzkjYbdG=ZUYQ6O*(*Fti*J^CqCBMZ#FezxiU#52d zD-#jk^GmsYE3RAWy>HH~Nq>JUrs(VOJ=&$0;c@Zpvfp#!HdSk1{jy!2i2(^T)IZ|r Mp8w@Og9ZZw0JZR8(EtDd diff --git a/doc/pub/Statistics/pdf/Statistics-beamer-handouts2x3.pdf b/doc/pub/Statistics/pdf/Statistics-beamer-handouts2x3.pdf index ddaec80d39337667bc59eaa42a5c5c8b78a597ca..6c17c007b8c83682bb89f863d34b6c5b7b93f9f2 100644 GIT binary patch delta 8231 zcmajDWmuHm_x|k+-3@|tcXvuEJv1oY-Q^I2#2}({Dc#*MgfvJuDAFkmA>ANDpol8WFxFl|fp!R8|85Shac4aDth+ zw1d|B0@R4#GpX3d&*i#?$mCh6@iGY88*DmdWPDMsbB|*#a9Y#k_b?a4m5j5%WvywX z=>xgS)LVTka*s`3BiX=69Ms25%Z>4Q7QPc?BCa?Phj-Q3Ej$`-O(oHmYx%Q$*iS52(?z}L^c z_?d*KMnxj~NK`oYF2J)`Pdm0Y%j&h~_;fg5K7Q@!w$IrW=z$;u;}4cXN!qnHGv#Z$ ztHh|zb8Dgkmz;JwRD}CKDNiAOLfiJn8a4Gr7ZF|EexiMTqSd7`wIksEbNc`s(2!A6RjiYerrr{!XtjBdixY2S|0+##1!SC3)(T1(ffA`3av4j15_g7HanSf<;o ze;TGK%AvS}se-P;JNeOQ2<72^7yepV@HM3dJ?4(HG$M)*go=mh@N?d=b#rx~l z5&7PDSBP`?gCdGaX#tlqz#}ckC2y79J5nC zQKCEFFLm9_tZ|hZmUSlMxgikL+Mq-MAO3UP+G*m+(QkpmJn?Q6wDIB?sE`Z2%ULD% zjZ!->A|SresiX%W?CH>;QwMKArui+QRukcbN<&lc<|uX3Dx6(~j6M}=tPf4fUNj30 z2Bq1?B5(AO6lF<%QQ*k`HA?# z3`*{#Jq+qG`l$IRDfj9ZkRi!DAEq?P6ho;~vR}yJ3z)Yy-Pc&3)0kVzaYsqH6+^Yj zONh9oi_Do#2-4Y#$b8jGRUN)t2;!B!TwEzv+btL{F74ZB6OHe%Qq&&6ma!ys7b$-} z#Lumy^xiaYbB^svl9px>!oKQPulM`}G``J(-}ZJ##n>r~_U9(*halUZM^C>t^MJYd z3+F$OzytNCBO4sj4^Bwqoh_g-VwVAnbH50bXLT^A*Dse+T?M7s$zN~|6>W`Rw@tmU z`CK1S^3yt1wJN>Xh}~q`Lc4eB>lYA>)9zen6g}qdcN@97ugW@RZzYh&fG6!#)W+Q; zKk7;=(5;*;Jv`m5%$#ZqFyRkZLb3(`KvUa*{S^6s=atM8_XnI2GNC*i;6Im!3^@|g zgFu=BNK@-f(~9~(P|L%L^YH!e4P(tK_Ncf|B=%7pC{6q*Zhk3&`F|&)&@p;g&EI}m zue~1W#Vme2ibWlW(Eo3}mzNsa|Bc~+!jJSXpka^l$I<)$#ed$`TIA15k7A5Gvj6J; z$*Yv+KFSl<>paX~>(=i4D2F^i_up^xPc3MI9Pwdo|HSb#Jdg6bi!%T1{hz${#=wLA z-=mU)&p#CW3lxrN9#;1+h`MTh0I)x&OZrF-i$w#pKPEo-0HVjFmJ9%V*u~$Tumw7R z=wl+m0myxr=3fnp0D$Za4;A2Z?Y8_>@`t6ke7>^Avh5JQgDc%mmyyiR zG#b!lf`)ODDf9tUOqU2cNBiC$?fN<<0a*2_f>Tf#DVNIoi4Q`Azny2MpQ#+>1kT)Q zCR^wOm?43c3c68*ZP#sAmx0yI1_y&-{_49}+SjL2LF+jm=9F+gY}~8vEGu4#y}amN z`{|)*T)wke(^TAZ0&YguZ1q3eOP)B{_XHb_ZM_>Py%}f@zW*@Mt_Rr%AxC*C`d#=* z9CH-REVp+hwWWMUA*bt;wfTB|v>3sSD4mnPrRbtAYwgz+XPI$F6bnvs^2-Iv?sF`77d${ao)I zu?!6Fs@fhrsR9M!U@V%MZECRB?U|YB;9!(fMj^c$TCc0R7A7u;4ue~mab<MpHZ$8m%Hw7rwhr%cTjFnymdh0SXcy~?72isJ zg(>Sw7f&;MN|yk2&T|*e+8GZE{zjLu;7!O%u+eXoq7@XRwf~wZ%MtrzzVA6_IL&uW z84SK8A!;4Kt0E#AW^&#r+9FZ_wTdF{IyDUK6<`NQm3iPWnImjSq>(pDYKWsoQkt23 z_O!04aHM6R@d_TDjBfqteM1VVVv@|*rQdm9N?56&9b+KVI2+vH2d zTXy4!dtwL?grNQ1J>ETAh2GhvQ*E}Ok!*~{NVU_=*Lbw^ac{;T`5@Ny-V(DKP}?iR z$m&MCaY{F)U%hg-vR{a_cnCbIag~osA^H*Zv+v4%nU*4P)^abIX2v&O>D_8iH+)ig zdyt^l)a^`suoc{lWG8{-jSGtjBm0eK>y44?ADpmObmSf8e;n&(D0^&IJI3iVkA`R+ zsd^z-e4hD~W{tKk8e;`aKdKtwgOadCWl8(XN)BiCq(D=H&TrbM6pWU)AXA(Qgv9TH zTV<^e-tO*#*88kQ)7ihr3w*0-GI5M$m{?mn6Q4x>*wukAz^y5<&!sRfi>X-uiM&%u(-m>Ee_LVfWHSYB!HX1IS%jGz zT8NBbDgxNNnA!rM7~X)I6XK^tkSk(cy;omM)vkH&#k&#twiosjH1!$mZ{6Nu9-kqq z9-9vikX#kwJzpcOy975&YH>bqn%WG&YJFl+_T#y1!V~P~wzn~FkFcBlDRcFAsU4Bc z_)t@&XAPMhk(;>t!=yPe-OXY!LJXg7bWxMEeNa?7`>0Xp^48hqnD@l4XdGh9E{1^n zTg+NqVma$1m7jo2RB57Ene57-M@hKOf1Li~R(FLaU7z(FZq+p=}q@FfplUT%glE^4uV!Iw}i}%+~WTPB7!_2Wz&FQeBdu&KsMQB`{VQ^tG#!@&ZpZ*$dN` zjk}u!Ie2ecM%FS?l0!2XPzd%>krq-_V@r7(-|pDasm)i!GMP#9IzZem4saW$w>Y$* z%@!2j@hD}QRhq4S-eUqJiNo5_b+Lo-u9q)bThJ=xE zQm7s+I0vV=)&C8-u7-Re{U+3XZLPnIxtq#Wb4A-b4{jzEBc zYA%Lxt2eBB!9?Q2ohhBRvZ;|`%vyd`BTb7fsw7QCCo)M(+m)nTr1K#AVxnAZ7)kWT z;kwDa{VIlw!kw-Pl99I1jl>ZVt#2G@Soe#m%`q+~J}^L^qlYk_yxxu*d10Ds4Yi?5 zBRcsRHOc^*DzWVKbQ2=|u4T?{8e(os-0dEy_x}ANogR_{c6D$s3E@dcVx+`oIn{zj zfW+xtO~?U!H~Vl%5MKZkK`=^3ofHg-J)OiC{Wvsd+P^rIbxw#WVy&2VDw|WB=1EsM z;1{WdJiUU+mIXmC{JP?1kEoNaWE^`TT=0%p!=ME9#c`U#vf|*@95|6bqa>N)^zE0n z4-8`h_NZYZ8PA?0PHw2ce{79w^~W~bVvg*npo_jo1Y;CtLsvX7-+Oo#AC4hL{(^3J z+G^S^a~rS=26tm}lzMiTNey5BeH7Zydy!uZ6!qH&Z_%A03}HRI+<-wZ8QH#|tfD zG}6Ogh%XpLB!|rD(kX+@EZ_+lxyUS^uzb<#+~vc?=+gz(JW>mW##Wy*nWs&8rqMRQ zQM`U+uj>l_wTJmT^=Nv zikZwA-Yk%-*aOn5pQ%c>cF5*ri4Z-^=D~XDl%#p;;d3W$-D<3Y_qtp&8S&42^Cn*;4Xh$~niVfEyO~n$aT#iJ*81MGj?v&0B+B(DnDL=e)^;4!cFf~^^C6B9-b>cH1g?l4+NDfw)wGDdU-U7S zW$Ar=q~cBM7^N8nkvyYkL2&3dL`(*wv+4%&5uKOb^r(x*MGB7A8VBIk_9-*q5LV^w z{x%jb?uT;zLbVlFi!tVb$U%->QF*8uaNgtxq3mI$E8+NdNM;ra`S-NF_Qma4KP?b5 zH-Vn31%?zj!TVcWQZ+)cL|$zWED=V(*g5*m5`wZ7PB*2f!lbQo4%Xc5_AM(I^um zolGs%y1!A|1@zFj*Uv@su?x^Sa1cGsXmVZy2A=`vBDJu)wmSS1JD0H7ZEPeHyRJyp9@`{^IjB_XgFEaIB%T)P!n)KVRaM5H(1hTsiJqp!>)?j@=WZEq=lin z?n^eCjpIJ$hQ?r3-Kv!`Wh&sx6g?ed@b&jJWS80l=RM32>1uA~hVk|C_kMz(bM!_* zBT}&387K4fxzCVm_S6=wub7bcBSx7ccQmOt;W)yrLMwSJ+-^+V5hy8_2r84^JQ2s! z&aqNv_U|-DPVLr^E7E zzJ@SV(i3gJn(23u?ulX3k>gp1>(ewZbPxB1Bf>eZC0Lll4mb*{d_0qR--szD)EPeO z3Z;sQXtAk;zoboX8*y5RZzLS^_3(3~1=wz@nQr-+<%(WwlrbhVQ*85>$i)ux_~Pnq z@mqnRmmeW`@!Zj9{`dSdxZ8+f(;^AkXN~bEpJVE9f|Tqf&xT(_s<*jqpbWa+j~IWu z6IS1{APuCA$99a{66Y}4*o6i_J(I|A3=k8Sd3pQU3c`@C4IQTI7|1T)+kH$}4=GBz zo!zc_$J8z)*^v!zvr&H`GN7YlKGwYuWJJYbbW;Y|4vnCd@1p)0D@q)VvhMS~-z{o< z)gedvBDbXtivs+yXVI@*9Ej0uAe!Zl8i`GFph&WfY(2Mj7?pq*=E!TF6y38%zm#vhBmFJQtpq*VYISd7AP35#MNE&%8nq zny)WP^k#|HLMlWFKe2m*r;0g#)R#&8a+JGPBAQ&u`dxK9A<)X>a2;Fndl+!ua+cTO zCoTSb%qSWD98{EcLz_9pf~`S=M>lHJU^Ny}ow9vNoZtWDCjTnMc_9hUsf#7%NiT6) zcA!GjJkC$7wL7f!lf9RP3A20>RimYH4m|VTeZn^{gvZ!IZom85P<^Lqghe~sH~v@< zEl!V6aWkzIptF*=>!}{>q!rTNK#p86jTQS&8@^=PTw4*QL^>m}T8QRzfFC$g9WZ$b zv1=ba)9%i5UI^1|^1XCwyL=aY5)h$I9kjG&rpaD;tVsv*XBb|iOHmxiizPUNP`TFs zHjCn`_{QbB?l+EK(fxvlmbs!E$9ImR00P1qZMV74Iy7c!a^#18NZ|PO+RwGq3a?4q zg5Yz&3*L!?O)Dzm1c#T{triN3c;eUTkSDh8!5ZA|14?^ZF+>_vSN0ti?Z;J8nDtP= z^p)efp1kbVu&T-CLaPU}N()o8iQs+)FmUm-%WRf%lpSj3XYctG+Rc6I-hFrq)BY`Q zfg=^O;KXg0^3z;s4s#m6Wy1P!zJAe`@A7WWIdyO)IcU?$LY<1TWIS3#yLwqt>2}9+ zhtVr!d1kS`e?9p_3)5}IQH6Zf_=3|H(%Yn?uxBo>DEf)ZDd}IIGKjf=5Aqrp7Uzr9 zFM+!VCZ+)^7-c?f9rq|&6|B6;8j3&y*n}g%_dkE_ukGRL3|RipKl@9(JpnBbM$cc% z4W{o0D0@uUf&t*i_Q`Mrz~sR`f&J<8|5-tQoARXs1|JIkan4|Lxq!q6{a>(D3i$O% zaa;>Pegr660Dwn8z6(I{U~m2H@opH9@kpUE4e)*hw&wv64_oyCqx`$N!jiZnW7o*=98%MqyXE6BdPcsC(8(bGI* zs!gk;q>XtTbPw~rI=*-KCSr5Y`puX?rfP~N6w&gzuv6#fkgzUn8Y51XS=Q-W=IM_R zBC>l-MN~K@^|QecgJpE{Bd|I26|@A1*6_?ru-}vWLFGk+2_fhh`Bdm|F#y59 ziP7~nquH43)lEq?28gm0Aa6dUv6Ta{*Pu2ARCKE$otdInZ)Q>KMyqxQpPIW$HlTUo zH9nb-um@me#m*W|hcQDW)a4xKK74kOZmH)E&)qE}PC7+vb-@VPZ!`Ip-0;fwvTJBN z)ea#o;IwiCnXfayXEsn2V{@50>00vV6JkQer~rKv50rD>Y5x^_%4*~3%_3|FMrr#* z$uDvGvPxV*Nk&IecJVg_yh6c9#K`vk`Q(Z_iRY7(A`|N67=8#@-*YP4sMtHN;o#ah z5*GO#wpR3^PX%oyrPb5CXKQafCI(|+d7efan3~NJ;E!OC@v?)4F&&rtL{~%lT%WRE zs2+r9$zOJMOy|b3@W2V_X;l@(s@(i03hX%EmE1l=X^*$YxVmN06-yPmF7;-RwQ91f z4~OmiY@hO3jcbkc#iUZ0Ogu=$xab#g!NLKHP)I8K2TD-c)oZh#oY}H24PhT;d`hbt zRAbq+X+@bXNeJ*Z_ul*^z;-wE^_sSx^9q|oqDWJhiB}a zP`jKPFzUw{FeXSbXzQT&YIW7&XIoV=d0bd@?zJZqrOvJLP*EEDew8J+QJgCL9ioow z62q%J_j`sQoeS0IS!f0vA_Gb0_GJ9@hKP;bZYgJ$L!yf!KFm+RGR`X`V+|pHGA^;Q zCEp-d2+M<)7n_cb7p&}7o}*3=wYPlUE2s=T0WU{FFkI4c72LZ9mP|jf2JrGZB#z%? zxh@-;-O#Tt-gWuhBeE%KpTy14WCv(JZG52*fmONX9EO*~aFmD({`i4|3M)?fQAmZq z#6=JlK*gRsl_~2CcQ(6xvzoXS+OBqK-B{q(aXdyCvU$M|y$7V&-c=^26r)h1@$sQE KFvzPbp#MMH^x(Dt delta 8214 zcmai&WmHvN_x3%9l1>jG-66=Kk(5Td8{tq&NVmX|PU-IMlsF*W-QB5lN=g2G?)%|= zRQ15ILt6o;ru2w`2Wh=gvc%HxJnR3q+X)KE@Qe z-@USOlgK)J0&<|mC}uO6hMRZD1?y)Qz?#<#Y5L|W1>D$DwwCYiP34Y?rMb8H zEOp8mfm**TO2jY~%0U3LN$M0-U17c_x2Ki6oDx19>%B0&Dt;frj?x%KHB>>5OqCRw zc=*hCF#uN}&4%}-EpH0cmX~kS!K!~}Ct>0wB|Y?we9@%#*B&0 z3-}NH+7^p@XzfL1cm!+1;!-7;UWRWza5+umexPcs!Z!LKu$Lm6QhGW}A7^iBwB@k5 zn9jqFXv950Z9Zi=%zDd;OJzzoz>y=^?-}XqobYS`6BAx!=p=0)G! zZdvnCRL`7LEJKQx5caMq?(NSpG-59Tl}&Te>dTU^1shnnP4+1FMH{D7lzJk>h6L-J zwd5RTOqoTnm2`g2L20*tjv0Q3qnXIQ+E*s<=B!*q>G1;mL`0B56oJ>&NLUe*(@`bR z7C9TxPhAgcepN(L#M(BO+x@lIvfqP1cTsx-U|xeRECvP&fR)jXr(D5TX0#})V#3zX z?gjF$B88D(CvJzAGyrn`2w~QcI;GhMTE;(>RzRUlnMOb2ZubG0ObzI$q|2I0;GZ}%PDk#(VDh2u4bi~ zHjB;N-~rKf=xXcFh`)2~F%Hs|Ab02vn*GC$ptZZ3bNi0>=5;2k%?!l;m5u)1jP>Zc*xaXJn>MdkjIp2y zt1mMB9Fo8NlcYqoTV*1wiff76{WfjEPQyv$uY!-6J*Y2t65%s(if{!{m7*gC%v`mt zzOW~O;i*c&@_^&OG0l-`?o2RXoGAxS*i2{PLyf%)I21CciEb3DP*(cMXu&q2Q3F&N zuGlHOQd;GxrjgCJ1*YjKJ#e?WNG>togNr*ZW{5!V_+aE=ZKcT*CPfpSc3EprcVM9t zGtK?5SC!GdN@LdYHoUE>bz%h*rRN&qeMlN-RW;hLzdrZmRYMqri2r>W@f6+wiYoLM zbVz?ao+@o(1cXNbLIb3z@~3Ee{x@L8c=RN}la235yz(aUub84LUiih6ctVOF?SJ(s zs<_m2A6N9xfmE;K@Pt=2ntc+hSm2@jogd~Xhy35TYRyyg32Wf*`#AScZPbYUzhd$# zlBAUO>(kOOQW0l4CAC;<%O0&`JB z+)+n&FV4A~I+NHL^4$HFzFjQA zUzn=XqDogB43Fp31d!3)QmLIRIoY>ps_A>6*T`{A_=~hymOqSza^u~5PE8WYo@9AW z-D<~w)&$T)o0X_uNuucAjk>$HXfBmF{}5@;KSyNrxISvNRT3!|IpY1%5_y5Cd=D7E ztE>C18>La~R&Qy=c+!|w=B3J_FL2{{=FXS;e&*L3!_!^QZ)K}OMrYPj`g}27RC?pf z9@&!3UDek&8nfg0(az{$aF>_m#jpW4`xdL+vP#b!sO0WmT;QU@NM=Bw6Omh|lp{@= zg8JUj<>fib)uwb~!7rcj<3sCcB6^Ss{W%%vxLPY*Bbr8;*q>HhsBi|ox#$ZE!}^?i zV_o9lks<*|&y^I^e+0?oV=Cbf_KOo>D%pi(PIXj1vvo}Ysgw1zpH+fAnD!B>6%j!1 z4wlJ(TB_&jpx58^7S?b++$E@C+wQTt;sH%4225DTjQE zr%H!Bw=!n)P4x5~AN{I|fuu_EU2)XSH)5CX_$-(hXQ$g}}_Kr;P9i}5TT-4{wZ!-Tq+^7zI2 zapwfp_4z{$eRaQoE5tMC0W<;Q@!om>am-xIb3YIIot2inbnVl-u=r^`026SfHXi;x zAR7w%B=ExdLxEnIx1!`;t3kbM^NOszXat;0Ce zy`~OiWJ{GHur9wC5_A>d@+!}e_NO65+&VY3633zvTjxZ+5udD6@cpyRvDc|iHUv7ETv3VSJR$r4*E+!FB)@$9Jj_L4)2CNr+IfQ zF&Wn4o>v)z=O`{{njR|QK`Gq0ZwaL(`5HAT^m>NSC-p^raW5Bs>ov^}=bbxIft*_# zth?&E?UD$ifa<&Q?w4rz`#|F@W-uf4l)0p=+NCY!Oy%CyAK7%Yet{vkLVEIQ1B-BT z4>@VGD<+!dRDtSCC;P{fa|e$+-7j|e12-?-0Nt8ZUjFm|Vh0a63b+jthu{1XmD9qr zXziw0Ts{@`inC~TkO)*CU4qSaa(u*kaIc^6Yj?uvm|ddmk1N2X}OY7q@2NEoU=Y4u_a5m3WTRDyJ&R*;2u+Me<92Ca2dd_jLh&dwk1R%>jNP;f`Dk z5j=;GwHr_F<|D`&%Sl5d-K|x-?Gf3^WdpLu5t+5KCn*K|{5^VgtXvwFGO6#d7mD7Q z?meH-0-+xc59z`*EQA5)D6I+F{z=APGTPj(p)-c`vYbF-9@#js+G%(!FP;jDB`Yk~ z#hd{GN!fj(7(;Bz{%Z4e8J}WRB5fi@dF-dEh;__I=1)bZ!{Da#mzwCX)tIWxE0ag}d0T~S1d2EzA?qo_06C1dx35k?iJt~EEZ{um``r!(NW#NcU z9-3nhZy6Q8KM(2BhmS&Jmo}L{(iGJ7nCA$#^Gz?S&(gF$QBPB7K&y!9?L{FIi{IHsJ@Nc4jI$Ip`cu$cLg1vzP z;@?t8C;e1C!FN@8`*3Cib!9KH_CFu0XeONI);Ino9t=CT)7oMtU|m=Tp^-PIWTbql z#N2RHv4*5s_Uu{N(_$|1&ku_VqmXwvEg7K}IDb!M$|rlJ;O#xG%6i0Sgmz4TaoE@3 z7ED929tiyEOpal|o1Ee6-CY7AvvV-FP5#t#N&Z2+Nt=1O3a|PdRQ4xqlqNa6RbmKj zM1tql&modjnT$NOzTlm8E4H%yPR&-tu2ClcAGc+AFB&AvP^O6u5kgq#e|o*b|J<)5 zRF{42wtZuQv@$Uxx)%S5+B^e?E=BS!6T$=KPA-kZ%lMkMh=zFK0|o-S!6=@c05O#} zI}-1sFG2Ze1#N`tZ=o;bzqV~mJ}(l9ZKOQ1mBlv6`lgBN2KlhjCIem%aRU?`C5mb(21W8kgcn)~TXCQe|^tLSmysd5JwRB|A z5_;dxXwGOe-1zfcUK@flY zTYa9Iy;QaoHI^KtuDB-4xz{}ed3wWo=KlWLrh%WKXy>+NUhQe?Z&ETV>tn|82D+QP zzJ=#8;jpbPA&1G@xyN-$@Cv|pbdNI#NTMsV5gp@v{1J@dEX8Zlxy2nT|AF%THSP-g=>aVE>K9rk2P3qcz#-Pc2h0o;PB>UFC^00GeNpRQfJNHHWY6op{nfxpI9cew!1c(DJ(d83=1m<2rVC#ly?_mY*PU^&;-=x7Nxuhfv&6Z?5AM6~lo6*R>Yu+p$5So2HD%n_xC}~npvM1{@}cRP+%!C1 znv~w)-OOE+i*h8o-Xiv>OA2|D;e8-*yuy|JoXD=am#&e4G<na70E;1PT54{s7ygLlwfjrGw*wJ4_f3sW1ECWmxpq8kjMyWVt) zLr&J|`%MRFcHQrX`6jytN}3v-E3B|^6DZy$Ct4+85?Ri>q4IL>@J658X+uk*_Q$K0 zx=1mzl6@4MgiCI*JuS-cMtcq%rAcI8Xp=tQZWj@Q0b{t~tMT)ReMh{0Gx{_UX$}v& ztB?KOI!pd`n0?7aJkV(ry++3dU31fiDRC67q%T516p$7olk1_=Pq zU;)INWrG!>{m(ug);w=`{&V!A*{u=RS6G*JqfVPx_^5BUj|yxvI!;5)OpZnFE&%aq z4YGBus`&F|3x6Dwg&O1**ui&aH_NSt?0s7pp~=lMU;hQkhZr@#zJ#)MBh4f%CvK-* z7AF})GgncK;n{hC-s~8NS;s&eKNs9-8y+uy46N)8`m*WD(kvmOk0C_SGP6hL#ib>O zczH@@64Xkvc%hTGh7)?O#pRqIN_dZ#+#r~IBg%D&NoM0_-TF?&U|rq-2NQgPl#ml( zg!7|ti4xjAxrrewci%d>`5Md#f$o=N6~5i{&Fv%6OltSa?GsRcnU`hl&Fdw_^Hz+E z9EWU>CJMHV8)bsl*?5h=#&k-X4KXUmXw^7CR=3^+QP+B$sMF5!5Vttt0fiFedYHHb3N z=$O20*sT8y?Su$QMGGOty}CCmq8LR+DYT~--Ls|J;-oMmdlozCzMB{hN_XGr#f(|I zPi`u?u}vH9VY?NhC7Gojan)|_ok71r+hO7){q~%(#l$#5LlzbFtbV${Oorq5#l%a7 z9wa5^-<4w!Yz0qi_b;Lo9wTXCc2UJeooNB}fCfSB?-yFoF=SlvU|-=uDn}+#%5a4=!im~=HIf2nsP^Gm_A3n;DySxiSv>T4||5)XpOBw-mMr$oDCt~2a9CLB%hF; zY)dI*;v64ikPfKj*Kt3@P%{Sf85tV9H&A|Ka;+R8N@PzGQju$Tn&6S_o!QD8jabJ{n583KFJ*qQF4Zwp&HJj5 z1A>`(MDIfFU}S?toi{|?TXT`}43!_;3{o|MrVVQk!fY?XZPGLlf0v&O3zmu6Sd%SH z+Emp$D)ZqcuD6<6Nc6j12N}ish+9?kqJ!$&D4om1F`C*OKIoywvK4)9SHL}7rnyZr zy2&|#PI#v775cwhszWWcJ2_r(Kfxy3y1_|*`>d&}BS-W7k6ek2E9rzTNpN)3J1V-} z2f+c5@%m2pM!1VHd03 z1C(}!-LxDxVa8c20|SCg^fM8}ZatwKm6Br ztP5{Lx=B6B>lX~h!9!hE)r18!PT51NFpGvU)8m_(C9c>u7QnzjcbXu-Y9^U|fnke> z^wrePq}(oIOL2omWDg6Wv%;0$hF*w4X8nQ-`xWyBD)(|VZv?ZpfK=_ajMMVj@;lr5 z2AER%F~T%bbL(|0zUGm;*8`?;6eBqPq#u9_+qML_Jlbpj`W^vRfR+E}pZ&*RgMD=X zG(4I-|1#E}0VR(L><^Rt)H>M+0_Z=rPRybJ-=8Yd$$Y2N6TsMGn|~G2TY%A1W(W@W^3f&ym%+dS>O25z=p>X|7_^;9Wdgt%RfS?BJkG}p<4r}{Uk*~ z9|(DT2mVPJG6oj??d!o(&46E?q=?!At>ON13Ik>xfPV(up8@}8Ap9AKuvrJBNKzI~ zHa1o+c1|`hGnj)845nj1VUe>o7K1pLkkgCtvVmE7z<(pKglME=Y$Z;1R!(j%aZWHh zt0=1&E881xFsp<(J3AK_D-Q>^2#+8+|Nj@!Lt&9MvHIZfk^Bt@d%X1@9}h|st7RE0 zj@Ps04ui$Z?9BLqa#d@+z42oE$H%{E&=-pj7})rn+9BAx?&w80z31o~Gr)`=}r zQfEaGykJ#&X&BQRrO5tv63I~U)k~uvfQOcec>Vha`wu^p6YYO4V*NQ#DX7We+8t5V ziI_I^amRN=x+dByaNB!}+pnNi6vz~*@W!I=z&c~HOl8!j1r17~Z@u+`i{J_OfvO1f ztzjbQh+6x41$K&oO}J`^b|5><-Do%oFVyC*05mQC{_MC6#H^p$!HQH$K8iyHhN>it z2s9a!?HQul)pY~-O@PH-9--VLYkDX6{+Z(TVNq90f&yA6q+Qxc8$4*BeOuEks{uy= zg%jq-&g<$*&4^_Tt8V$XONdr&!@_d#8?7#e6H2fwcUMy}OYM-PPmu9)UY!m@;R)vI zL9F@SqokKYEH^THOrdGI;gxdU@O!w_5jDSb9jN{;H0 z`QSK->XP1-pmU;58D~O&p&smxjrcJ?pe%49kEG){oqzZ#2p$pn-0j>So0Ddyz#NNv zHw`k>fHP;lKGg66m8_KEzuKTIl=8?AsaQ1IZO{&-i7%uZ2?TjI!$TG#gLmGE!uAOH2bK6>0^?ln68IGOllFlRzISBM8y@HdVU=7y-sg>s<9oz4srciaz4jBUwFOGDeLZrETI+Db{1$vq zciF3;JH2T+?IXJO8d1U78{y&o%~*qXdGG0!ZloE@k*8Xo8+qc=9-g!{-X(C~SmO(Y zo+of)D)1jrfV9}wL?7Dt0`a9PY0l$0jE0>cYZ94`1r2b>^>Z)%U&0ieY+NTr@qjxrzpiRfgUprRV|zaEYC<5{6`Kfag9%oBFVm_7+I2CLy~1?$P&sPF*J5YChH(!h$v&J zC}YXmC|Sxj@@skfo$sIT{p&sFx#v93J@-8K+;i^yYw5$+(pgHmUPhW-j8p>Osuh&BdTbBP*0e9LmWJKbS<w_oCo*qiSShgE%7y<61XMhH`{I*T`0Q zmz17fD3d-W`#1m{mP{1zed2XlDVUA|RVzwRaLK^XBcs{O^e0CdYSDk3E?s>}Mfg;C9*`0FQ4Wu2~YKZDJ(7$AGGlp4|nZ^hWZ3N}G3ojp~-64QAe+^0)5l369-u zj9cn8;XuWA#QuCXZ>W4892v|w{8YVRNBBM-@ zf%>@^xS#`1mKhW-fCT*P`R1)LS(?tAe{jZ{A+v0?Y_L?0+YILj&G8A)&eaETys)NR zTaOU&%SlKukm5TD<*Y(-C`!oN4XOdzjS)8WYSVgKdg zM#1Tj7u3bKKN(^VE2Y@G!`n0r+B4jwdn1Ca3rCmr`EJBzJ`1WJRK5~+ zXX?;x_ZwbZ&7H5{{=KyC5*{wTs<^B-?Y%i-p6G{3Yw&cfPdzKl1&9qZccDxr(xf0e z0Vt9SVG{u%VgHsFS7O&^^8&`(&C-aqRw`mx&Q@7uNeJs!f0RhcsJ?3U;ej&O=C-By z-3dX{<-MKKPix}RWo&o5*vGR#_OuTqxncV-rDK8@`YiKclK#0VvKRlDQvjV@+iF~% zK5=z79aPfu7MxIC>^hy}DRAj=ZhKcP72v zH5|2TIQS~b25vSlXj--1Fjj~(q_c5)TfTDzYg9=(vXzrgBg$Q9Tb z%A74|I%F43jAl=XW(WQS=r7p*;@_L2J(?Xn`Y;S>&Ci*`^ie1T+ROxHVydTas;h_4Md_T=H8+wog#RzeRUR#C-;nDO{&ENe z9G=^!p^8%~bPKxb0!d~)W8FD#=u=80-p)w*cRFruDB3`WnnZ@eg@-JO19(TdyPQm} zH#yD61k^xfJ&wlbKz4$1wd8*DD)$UvHV9osI$!nNR?)Ezf0w*oyA+G_Fly+2-?>(b zJ!ogSu?*IDSlCl*F33v$LM&x9KH1(D{2JFMwb-0^H3_M^*__zWfn3`WkIF`7DYR$K z*(68X%ITsh$zI&5N>TUb_>+A}h9iTKt5oC_w)Z)+rXkWVcx)}V0G$oI^~Tzr$WGP-L+wYY%KAMy3yw4k%(6H+F>WlZ$&Zc4Y)z$aN$)v9jBI`)@&US`Lo^hJzyi-TPS1f|`EWHHxif0=u6FF(| zWX?WBhZTh@nI8P3?SV8{!SQN7mx=c_j;b7rV9X7`+b22QWZ1`S zfnU)2x%IKw(7@pt9u6DwitDMe$+=~;lbc-`w9%;lGIk`&5yPEig=dt_%)R!7xFQMK zxi{SjzJfYMF&`Yr&Gw+Ls*7>c0b6m~E`%x}*GAwc)BBy$p|vzJ*X2`ECnBeVw@hU} zG>T0U{3bA43MJ}|VmK2K+5vvBY;aD+!=(*Eiuw%NWEw@gB=O@vmWf9c$5dJ;$>14Y zXFnrZj{?>A5`mP=AsKTTsdId))_^@s7js>;sOy&<#2h#S&fr^N_Iz`IC zLhvK%rRPsfCv-@Tv^6|+siRZn5;^S&FrDpI@;l7foQo&UDL+z%**OP&OU z=cO%&0f|V~-nJ9%9i9dp?QibfK2w;PZj6k3)a^RHnAR!#o}51qC3I06s0_o&FGmu(Us62`8%tFw6ent}vJP!IQr5`!B|<30V%$emLd8`VR}-2%6f zfME}>iA=KhL>G!IFJ2zTYi=wQwm%3D z17sv}hY3PKDSe81U_|<#L*iJhC=tMTd5EhK&pXZUS12%AT)m;F$HDBo(FhpBqr=3A zY-@eO9e~P9)b5@gY{~Bv9bjkrul)x%U1&~z1TU0vjUfEQP01$qMJG+Rb&mIdNC3om zJFc!dU~8%-k{p2Ss^aoo24kNtObTY7IDy`~_gUnP%JK!Du@xKqML3Wi?K7r;zzy7? zZCF&F4uP|t4n_DGrdr4Pt3F5Dyc8IU|e*=$qVxoe-!f+k0U z+4jO-@!PWbPvoe#q^0a1?=n74dSw+bN|v!JlR@FlC)f}0&J*B+1l+9&paHPN`7Pfa znvpRse~%CkW4}y)-&>(oUS?(9*T_(=fsQ)Zvvbn)3IQmOSMtUxg%fVdty0`2?j|vL z6A_B2bnbaS1m{aS^(-0ru1s-8;!@F6th0Vmx!Lw3M0pFQPt#q(429+%4KndABq9TY z9F`18k{3=T`nE7}k`RA<&V@xOS9oBIRg%V{`e~S{mZbCOGbz-7@MC1mo`uxSlRX%n z9cjL3#_hI)Pi7D~2j6Q>PLAJem+Ju!Z)<*cU2YoizBeSCsU&m3@LytmuW3Mq^fu^- zG)Av~v8(!*^!e5`>i2-0_E!>n%pXx)>;QB!w2F4beeYOuA7%DdslUBlX&F5&lWj;o zJk>G?Jf2`GlVV>QLY6gncEN1t{7TH|*x8Qr&v%|L7%~sfwbX0X;RE9(FTXp2e9=`}kKIOK0m}Zwq7wmM)x< z`S8=X< zkL@RYI@i0>4qPc$>rVtz=jfiIZLV8oe^dk7h&Xe*;!iz)(CC^Pp*Y~T^ g`iOPDv+c{m1ufmrE-?d6bmUm&|$o1GtAvKGVpl=^aQPngkO!l@hO z&sT7lAas?GD#SHJQ$jYmPz~pPR&jeR>&#&acbx0B78+}`LClxGckQTsc*DA?scBDKAV-RwF4p2z6oE~dyix5DQu~Y!azq2 zXCm@qlHJjTuEXxMNsP;Hda7^jxazsIz7j?I5Zqlvbfb`Dl^bU8mqvSYdn=2hQ}B>q z0^0o6G3#6_=3YPhvc1FSg!B_Lr9`dXFt6lKy*Gb%q9IIzMYvEk1^wfXF>0!79yEo$ zdS2YVMl%(74uiP~Izex)zkq0diUC&Y@9QRH)ow7-Y z$m>fQ)VJ&Z;$}GYT{_?!T`iQsd#UiRf8g~GD{r1m)+VWJAF7e5k=9^+z&QO-I;oXJ zwWA=^8uKvJJQ3t7Jre*dxFwTNC*ndT7-lKwK#r5{OrnPS?mFU^M zU3SRF`B~1$i?x6eBA#B^mp-6zNvS5eES*H$Yj#QF)rFNI!nvUamvtp2>+)p-Q9rk& z4}o19I*2^C;dgZtfvO=*Ux^{sgRakiM4nFgSLF1SEvs)oyubLx93EJASv(fBke4ouiwqiCB}Bp(iy>#L56ic0MVw%f$vEPyIg0d|t-4>fV%&s{>Kps!&czAVxP zo@NFZYqZCTx66(cR=F}d{g3QXp3x#e9MpYlh$2N9IS>YTt@^`gZMdJ3Uk~ed9hVt7 zP?G*`p}7dR?0Dd!9-WKF^ldZ*_%rAI? zSK&;k%iW3Cfe0my-`{_A^C{8uCGPZq!9mC(wN@| zyMv%p%ymda9dlDt6Os<`gr*+VjHqQw(V^-RPneU)L?f($=Km*ggA=U1gM1=;#)aN}ep0?;k8)9o zgrr?_1&{ykFqD2Y=Dwv#g^UANUAeNZRJiZ9rLiP@&mrSVNr_UPsZ5*M^)#93t(AZM z7V3NN>dnjtFA11;!<$9+=PVz9mWbzu*UXv#UvOEF>^K`CN<7NDcWgNtE^_9o`%7=a z63z!}wkX+r1tGxFf;eMm6RF(XF;rMAn!|o;su6UkG5@0yKW_{e_885%78aJ&xp3YY zi0>>o;?xr&_THr_uOxR&JdxpXpgCbIDzRNW%(GwV4<9+GZ(`^RQ0I2KE@t870X>)J zA-S;f&iZ)AaK#n<8l*gAocj!Z4PL-aNq57}feoke4ON%+{IquicL)_j{%)6?)pgP? zjTaGO->LB7L!DpS_|0=Ukz;$%rTVrkGVtZ=-SEy)CjrmBPcgRcEHHnB$RQ;njb0zw!>* zC&`5?xDWI94PImRdn`KE!&%kW`yqTok5FIDwe?_!3((nvkBlET_f61?z})Cr==gNu zdJfzWAb5tIC9S>CLv6MJhC93@ialP94eVzm0T*HOh>PKk!wzV$?*XEYb#CnRF}yXX z4rv``JQ@O$soUOkI~dmhECm^f)FH#C3lG|(PJ{P}%p-h+yyh9!q}}aE45w)f@#bR4 z(3sdg`Y(Cmrx4NV+^vZK{FI;Z6r1V!ZcIV}9=6}N?BPGM-}k$c){3PVbTXgZ4tp1u zz}mjEx~0~?=tf*#?7KYxb5GDqF`pmVkP1JZ?{xcu;nN#p!#*P|D=4<%v8T{L=x!+A zi$}5j`O@>C$8D^ucFe`p^2kj?55g>r)`kxTw;s`n(-cnU^IdOU@c_IQ6n_^)Vl|_e ztn~em6;LEw@Fiae>_@m5tNMaPOpeV03bHAxIn4Aj4#yf?EunF@G#PSlRT z7p(v*gD)*v-A0B78y5e?xHE#Ju1i(D-o9dHX8w1w%o`lf*8E;FAyY4X3!w7?LY&!U zuUL}bfdYlRMdu5PN)LZvKat+7;Y|;tSp(g^4@!Ka_uMe)h>08asM+T+jYpyJniN|p|M^k87PlKCmu9wnpq;gbu>b7*?`zI1!;KT0V7V(5dbC7~ z*u4I;N-!;~7X%3~Nf{Yx{6!@@bfVFkqpN9QWZRP%d6=|^RDX;j4N%}=>XX;+e>5UU zbb)RWX;9UV^uTBQvpEWdA4no?6L0v@xm=|pChajs3VA9W9p3kZS1c}a{NKE(jvP9RE zzP!}d%0q+$4~JT_D-bdcd3T*q41>ybI9m~8Wx$D1TXz0b``qhBhgACR;)(thwPjId z-D7XcNGo$c>H$^;TI+Ix4GqSBnqZ&}GbJ9+{hOwe&cb7KFISDcb#kD}rIS@8MvvU0 zp(ec>sl9XBhp@K6Yf&4AbrZ@J6JM({E2IV1^Bzx*61L zR59=EG*mWC4?kG%&G{vkGio^!XJ2jg&b*4{>2xww{Y6za?QWQuN@D4}g^FdV@@<|& zW#ax)`)o@(o_b&Ae~3<@Or|}nAz$X1{kGlns=D6!2A$%%iTQWlR3!81S^A*w>O_)^ z_UW>J(|BNx-*BZxzB)+(Rqs5Vd0f@M{wB+jp6`A3s_Pq*?%y@1=#RZ82CT~ua>fm- zD+d0#a-1>fJyNPj9p|)cl<_d#6Mr~7GtQO!boxVY)@674y{~dcWfhaGFrUJ|$R5qK zV<@D{VzVp?d3tez&GYPT*?GjD*ItE%9WZuddDUIpN`@s7$YjkViSkz5R!eWD-o)5nbD3w*%c{gMmD!KFR^rw(anmbZrsP&;31 awvMZRPKwO2{R+d1>gd506{)r-;Qt5b04MnX diff --git a/doc/pub/Statistics/pdf/Statistics-minted.pdf b/doc/pub/Statistics/pdf/Statistics-minted.pdf index 20b26b131cfc0444e707a11acaf2d70c6dd6c01f..346e7bb98faa2fdc30a3fe0ab7fab9697958faa4 100644 GIT binary patch delta 81457 zcmV)ZK&!vP{TQKu8IU6bH#Inu(e5dK7}<{7Ht;=Pp+^~r7+#X71bx_UlO9OYAaT)$ zrVp}Auhq(wA<5bJ?>obxe61I5vq8ErVDT6Z=jP1t=qBRPk5Bl8@AuOu&t6FpiJVE1 z>S(%%gw9xQRFtJD)6zuKdGts8LphX_MCECG<;rH;*FDWjH>bgyvYIFnFKcIiY2mdk zJ6F4#=aWCDzeE}1B8?K6GgSnXFB`kE4i60hS-YU`yRMy;v%0AV+}+aRbZOgeyT28& z>YNp+3TSge`(Y@Dx*zJQYzX)a>2UUrBtQ%@Dp--p45gqIQ`$s{E|>z!J?b}YHvq+n zGAjP*FPJQoU##n42@t~h4A?Axa%H>}g=AXGNU>}@E&^C_0H$Ch;C>JA;tU?iRF;hZ zk^s^yN&z7EgeF33xCx~oST6O^T`7+Yu#|blY9>+xr?m2$t3TnI?RwA*ZXTcbwQt(91ZIK>lSPSPU|YwWd=>hCXn{;o%lN7v zy4JO;i8Mr_9QRcG7L22H-ZWtO!)856JV#aQ=9_8&d!?Q0ZPm1hhK{{1X8>s8wkrp; zLX*Z%3Ghu_;XTXxrgQ-*7@$2XF(l`l>D@I&ksp|%6oO?1C|H4Laz&!KLUbFXR_R!3 zq(-S&a$$lIflmwYj#LJJBT-C)K9VeBVsw=$c*4fUB7$*Jbjx@F8^Z@Oh9#%f`l&|*=A9MyA!|3oZUX`_L zwg4(Tqj_BR6A|~Dl?`|P?OHr~+t~Sy^|3)5keg>FQYL3y5xMVw?b@r;mIKLcR`x`p zis$wtSK8HRCp|kSOzs1YF=J?Kk-F1(xM!)h{dtKRIg$v<$(4wd<}6PGjn{B}J+~cF zWl$J2ShP(;tdgz5QeUsuP1v@dOFt3bK2;IBa%G$C36i1h``vNxQ1C73Gp{TAl!l${ zH;wm+vjUZdUZ78!lx4X-KFKDD){x>&jE>up z2A^VLKqj=F+*=GMmd48x!{Dcbl@NS@nYM%2g~29|;b9LE?1Z1wcqVhjIM0cqbvH>N zfX(p#B#a+_DG#NMsm*^1PU4bNes>9j${uXa@*5Cw8O0@YzYl}FNQ8WFoc^Xnq>sTS zvj35Yi;@uEk_i16h)|D#2>BSiLwq$N?mWHn($gzXp5BwnO7WcO)Ew6Y(@CM@U6PG; z0evvJzUP4~PKp7^H8Vo&UT{j49X@v(U)s+6^9H4VCGMml1J~mtm>#^FdVJ>7eSY3< zhN@jr8lXcBaIn2z`bw-1Z4~7T8h>GB`*7n}Mfl=?ae4Bdib67zX2gI;tQGeXfagBf zdHnmt$T%!lrE~2-O2~qV4R`S5~-vyR?9<3$P>Jzz?0n)BzV&*z0IHJ)V|s zSCS)t{X(BIU_dWCXrQG#6;$(QbbtckaSbJnqama(SfJ9xYXbLtp2M;3?g>>WHf@-a z_+iiix9!Sd9oL6FQW4+7Ajeo_t*Bh{d?71XS)Ou|L9MQXDmKo34&`q(*tzrilu$#X zTqM@kE;M&=0(@hk7Pk7WYhAr+H{r2U8ET}#VGv6NpX}R(}9atoj#HATEjDkr533Gz*8b!#Z?=J3GZyNuOoe(`HG3 zbCgWTq|Z7Qe7PC()P3h9hs(gD(8w|q|Gc11NxSK2uqYA4=gVzZ`xX_fF5B6Rj`}Gj z-Gv4eD63kIPw zG6l>AB5i_gGIW|$?|Zs1KI-YB z7;_oFw~Z}(Ul{?!#(}veBJOB63o|vZ2Kxmys3$6q90#69Y6dF_Y2mDSui`ljF7#z3;Ek zk*Zq3#3uo}_TbcJQ})SD=HQC$10_)!W+ie=QaiKx_31_f9Fjvxv#TWKiwJ_<4WNmB z{Tfud*e}w>-`=F*`j@*m-+bWN!ZBxrS={XwDRb7qvvk21TuPQ1yD&OqLh8lcaq(-i zEjPt-C8bO9YKskk(y$jbG`TO0EF#pLalxD)xB7zl}|eRk5rnLS6igWbF_JMSB}wKF4-}?(L!k%ZMIlHL*C3qmq(0JZ-E517EmumZcFox8+BQ_X{yDBy;?gA^u-@ zrS|6NFnjQ);PugHsynk@cid!ZfS^PVo0zpEGMwB-K z7Fz1cn}QlJqJR;be1kmX-^G@?*Vz3z$l`@lW`}81bo+Q;l5Vh5S9sS!@{dCR8$mj; zijy1UeLyr2uG_Zsi&9*MNghr(L%b*ELaiXugf%Iyp2g`A02WQyE94*Xt^gD?DNpY1 zaoR2E1%H0x<-pO@$o)jq@fVwSnH?O69 ze)IIwu*>sC?LoYt9$E{w!2g@#p+jD%GZ`gdy=A*;imvEa2*|9$*qgj9W|o3XHc~(Z z6c9oHHY`hxBMx|XU*PT$hSN5}M(1 z?mkG+rR|~|{6xp#gHKCsqGP}YraBlFCPhoh&MZYK!%`*2OBu4&vpxtkSSiOiSEN|t za$I;5*zknC3z#v4gq}@j053Khn|VKjLc^gg=qNYVc{i7Mqk>b+^0EBx8WcXw7}U%- zHGe_6a}E-)r=&FFQL$b@zaR=wW3xdQ#gNA?c#~NS`H?f}L3qW!XOmaKOxvEo%(1`% zC76af` zGGknaO6z;XS(PTmQ+|9vH%P^)3RDEiaDUqex9^P5hHc!RC_(fNI@+Qen`q0YXymt4 zN(ku+BP~ez_RAvCTl5trSa^(OAGDD$TEO4A`cVm}AHku1S$jVZ0IW4Bj7e!Igk>mq z73Ci3Yv;Ff@0M%u*u|Y}eYWjiCV;P<<)mD}D|jZQUqfO5V645VazzX7CPq1$gMYet z4*KRfm{;R(ZG)oQXeT~2Qx;&H}Zb?Wm z5L#VRu1{TAV@LrW?M~I^`R=z=r@#c@!Y{|al#unsWLO`bl1FOQn?8?T5|EwiY%=@H z=|egI9WxmkCw>VfQvrQutn+kv9DfC6-&EzgV-&=$v6I==fnA2Oln*lW0`j&PK#RhG zxrcPG>Io@St@oH2;Oe1J#Dg#B7@#F|Bl!uE`|=YidTxwoW5gB*x)wamlcrwN7Kybn zvYm!ZG{qtBf*I=BHHAOF3xb~COwkdRAgzPsX@^U&#Hl@rYs0Y`kseBw0e>H7N+iuv z*~ir{Gw$bt!RCz;RM&4dr)F+LI3TM)+XWCEglu*tZIhmY4_SK#Wd0!60&{5F)e&QQcIU(1- zKnG09q|#sHYh|?0GGF3rWq_(^^+mo`P*GcD&-waVJufoOq;UOrt%{P3Cj$Y3;MT)d zMnHOzUJ3+6K#`HzZBeyIDKCeE0v`i09clXdISUK~Con`AhkrPLolOqUn<$xA=X93g zgeIt!oj~O;Xn+V+bMdc6B9k_kSs1!vCHhzlMGGGTWzb=ji{q zg2E674#x}+CDhMApUSQ;WDdS|0p{}HW4g#cmeu|(_2pFMjN^TY=erc|a7#hf$2%xB z#X|!nO@+e#Q=^FdNO(@ue*nOHe*^?qFO5f0ndb(XKZ**p$7R#yKrS%x2#uIl-BLio zTw1!8;eT*x-GAg%5wH+Y=r0!dh5unbR=`#-w)^9ulpl@(N{_GeqY$Y1Z?`~?S1%wSKK;3ozYlc5I_12H!^lhK?g zf5ll%ljF7#z0a@Uk*Zq3_#^;ta!BHADn2CZ@*GlG?}0PY%rGU16O!_J^6T>&03||0 zjdsWD@<}8JbT`o5uU|vFxG#9|w=150|9pM*%{wUyA(%Ht7T0%$P>R{g6_v3}DpOpq ziVx-W!+Nn))|9vV?Lvuizp01jXL?HGe~(>zQ{Ob3W>_d$J}o|8fB(%pVGGZEC95Ep zaS5HgfHn;kN)(lH%xQexLd8GtAW2tcvs*}84(o2+4{>B@pn9 zsn(yk;c=Oi(`AP>mN}U(`OA0jE-12+asNz@c#{;l8AS*0%8EHJ;-dFyfjZ|d!Hhmx zGuhCr9&MP(SNw88ixEtC{Y;Cv5KG1|f!$}z-jKg|`RSp#rC@r%t5Gp-@cW;Ah%7t} zA*_u)gzrL>h+r&visN@}7iZS-f2XHd#OEls?guCcAAVk7cHK4g&1U_=v1l%su551Y zzb?30Xt-JBYeG(tU46gbrcKny92avh^S7ZOfe^1!kigigtT%gFr*yel_jEFf&ZFMV zSYKJDjEB5{1;LMnlt?XIETv%_-@=!{e%rDhtIE+uEe>QOuAVr~-^Q(=GuGQ-Tr*^O`^U*WRM ztmrb$gh;mY8BLN|Z)gXHe_6+bf2Qsb0INBD@Q-tI`rM29zMaWE#54fUdpsa|rJt5S zBuTfX@)2qR-frM!SFQ(2y-$P+YeeIE7c;Ala|p@9L%mzY56zG=?zZhv=pF;8w7XTa zyN?szk4u_EYOd!}Qz)1yC=V-EiI;tFSRen_+>vwf5$9kX0d1Emls zlQ0A5sq~9L<-R^nT{z_wemMg}DgziCTQ-N0BX162=Eav!`fwWg7<`gK`S=Q8~?esE4$0vxyI6hcjiG zuq83E*y626*7SEz^qno1TAP$o`1BK3x*O-UyENJ)F;R2dHy~}zFjwQK7Af!{!=&~{ zeiDjfN+~s(tH!cFmu0)Q+t!=rf9uu6dl_NT01voiDHZcVe`HXT6%~Y&c3)Ieehn1s zS43rIF3>~Il|XfBZZ%Gti*0ZWCr@Jgl-3-XTcV;GznUj%@{fAhcL*nhi3&6h-9$6Q z-x!el%__bogGkW!1`53`HYb0yuDJul}^@ zTe#eC7o9^kgbbyJEuB%o5_%hbPX|u`SDnTb_e}dFfBu-%gga>St`ibCmnjY-(0L!;=Dr?963 zF9I1lvaF_`W6@~uH9~2L0I1)mR`<%1#09r%`3BHVgIQYURTHees zO$F{=6_ZIaP4XH2Rn-Chznkl+0LnI0eXV~3f7<4sQE?oC_Bz{Erb;n|oSjU1)@RKj zKH5N`4*lKR880m@PTyA0Z<&|!e7l1beC7=P)0093IHufbJ9XrKc!}JP8l*m>YO36}e=&kY-ww1R}(t?6=TS#MBh2HOl z_6fjeL(-gUpANDBscOu=n^~Ty-Q+rlf6whbdOOXj!-lY|64MS0RZGsC3b5Gd*IYg1 z)SI^Qr8YkEkF2WCXywd=G@sj%`jQ=el~eyJ&FR~@OpZA+*^d}S0aKJf^!SiL+9hxa z%y$N>q-6@Mf9V0&=BosSe*G2V?8PD7&P`4T{xHxSEOj zsW3DX(w^jTez}WKv>vkb_+QrCq5D7#lb8>)H;3-XI%*UhQQ6Vx(_-zbgQ$=5mykz( z^6iCxH)1C#JO}A?hYK5UbU9vDf6%i&6ky`=fi=_Mxzsxp5b8Q~F8$_0vuQnwjmg&_ ziO|GfYC07MI$%k*l)8uW7AlZIuGGnr3q2`7h;9JqEWFs8QZCqhDKQZ`?R~#q#bc#D zi$?C(yLDF&$r~NE(r#ya9AO=k2<6y~hVCfzk*SOAdKNNn{8JWNaH#ynCDJ(*Ocw)1 zWmAxx{|5xX@P7(rZe(+Ga%Ev{3T19&Z(?c+H8_)@2NMG_FgTOZoG5?oTU~G4Mizbd zuOP4nLUp6bd~${<^013dgDp^??F#$i1`ArEY&Mdpl9VlPk^kO1Go(aPq%4ZE;vjyp zDRSoCGw0qpcla^bxpA=b;R5IX|2evN^8+OgA;=ekI-{vW7(>!ijwd9dOgN*7bLD;r zR%sdqi@}gd;ZCA7OQL`4RTjmI!N<{$Z+;-s@saOQPg~GO%o!4enDTA^(QOD_8FSNc z94{vJI9`~O+>KIuA}d;z+`+GZ?YN_=?2aSuD`!Y4l7+uz-j0>p34{rQQJV(8VSyWL zF{C6f+N>Lmcs?%~A%h{6%6+GsI#eOSfjJ~uj)Um)7w<9V!r$a5QuNbMZ?at1{Y+DXb7tssP2917$x;|AgQb5MNf^M!D#ndgeJ;wu>W~u^ZxZ=fH8@i{b7IqmdJTXeM3_}_%eDa) zkuRCrf?)_^RN}N6M@D^w{X-IrflHt62_s`ZOk!XO`-sAogTu%gueN>L^5YYYZ@nx@ImHuGR~pTeUyLQYJE}eJhV!q+`EDB++el} z8ys$C36@B}EUFmWMzj?Jg;}LwXqA3})k5W_85{;l{%aE6ML~<)ZKI4Kc(RV8V7?Ux zqaGr>)(;JaTu}Gl(|ry(Llo1tfmfnfaVT{AYPWYFn~J*lF{~0Jk2i3(2c`0n0-bN6 zr5&ZOkOzNC&;*k_0+SQSS6S=(+J-X9^nc%t2E`>MZiixPy*H4;@_0G z)ULhbCducdI>{T0o1RviIou-3I=kuavY=wetW5JJ$m9tjT}k#>X0hKcs59I0L4gtD&I6U99HIho;VZ zapj$Z^k}!s?mn?IG*sAOPm_3ltoL~UX?x_D8|a28u~L+DZKIoD2je(}Dyh4IV&zBa zABBk{k|4Kl$dLWWARwKZ4Lwt5(e=}DLI?#t-Kg>ML3=!w0S30jre4&Nu6LN|Yt zb2&SncH+Sm?w>LVpPqKOF{My2^Wi7sJpYpM&p{H*)8om=4VTI2Cq!F1&}tE7>G?J3 zNVm8$6Hi7$7L7lJ$@y7m@LNl&stzaPV*LePB$QJ`@;}B)<&5#-zRJRN_NwAR-$|^} z5H93~xCU4JF@`E*nMs0$~hw z35My=KOjuP%CV}~ug38#PIdsAH9>cTa7X?r2`7CpR%hR<`!Kq>%}zw1eN2CF0(1p= zY4rbampdW1;0{hU;x)pmdHih74aKhlV$xArkqF zl^$#L7Kq}e{ji)v^*KI^7U_R77>8%k7>ajA=5<#VnvAq4)g68g6o>0&KX&t{-JO=< zI}6tJ(?|E1PW^E1^zK%h+`sqi-{il@#Y1hpX^M3h1E=A=b17{zp~v5w1N|)S%ka=? z-S)&ZHr)Q+krzq()+CMelr+-U|JN*Or2kwbFOqgL8k<&W^hMIXHA#P?Jtd9y_5U?X z8tp$9>5HVDjK&5@+rH8~PK@;XCL<>KtHC?`y7R-;>tVx#RdZ=$m2|h7JZ_bCw|cW{ zwPpR=m)R`JW?|PiNcA^~)*+{UPWN1~r-KlMXJmmc~+r8oQG zIy=wPY`^z&CX860cWr<6mHttQV?F~2voJ~D+C;e2nKWMw^2LvZclo+>(Wp`7I=S4J zR+DI)9iLYD`@5GUfg~a7IcEuZBunV|vqXN2S%RN+me5DCgnzYKvYrLk;p{y1{&L+w z(=)2!Cz^N<=cLr!ldttiE^WeH{S^N9=@nYPPlG7oyObr_Z=2v0@V zZG5k}Ds6|TZ1#U05+5nfoFSEn728MN>+K^uMH5ZI?j9e#+fdO*w!rF*OzJ~`v55+tA#WTbp@?AKuz$6c zskb$0tnS3o`xFU<)Pxi*b`bMQkN2aCzW@@Ru6+t+Ze(+Ga%Ev{3T19&Z(?c+HaU}_ z2NMH0Ffo(SoG5?YTH9{pMiPDZSLl(#TAjXM5X?h@ompV9SR{y%1e?i&EYUGHvgAm# z$CIzm>28u@Q!Ub&@g&)Outl+N)zwv}PF0J}ewxwQKQ3tV`Q_EcXKy&0F-DwHe0Fs+ zV?q$4?My2}xKOjJ_3Ve@_0#=)Ay`qa>SbN+w)kRH@i>3iyjX4?%ESD}tABp>hMAco zPIK+&p~N|?L1&m%`lACnMZ8JceSw|@U8cjX=L>F&68aRnSbDt*RV??{RlQ&C-^bT0 z=o_8tDtv!D>>duW+s(sv)f@(TwV(BE8JpL;yJgij-V7QK^)9Tu@>AX}4|TQj(tCMr zD=!Q|Q8&X*h;=N=`#4ty@>R?0O*wjecqdgl_WQhky7eq4REl)WyW8Eti_Apv)!*Ov z2U%2yk(D`Y%`%zJa-Tm?+l|4A;B7Ky!f?3aMDu@vv`-W3C`$ykKU{~6D~4-M*lD(!@fKKthn=F6>OUI3_2hilf;R}0pSN3 z;h=wT=!{12yU&P&gA}6eunZ0?D+lXGkJHRub5%=(e+d%GeU)9Cpe2 z!ti#o5I}g(fH6dAi#XTV{dc$JwtVzPSMC#xH^o-~fPk5Jt`4#B=WR65ZS(r>9-TJT zs;W2d=T;V%@%^Uyd47ybRnt2_N}S0QtL34*jP38bz6O4{@iWFR>;3M2AXJ6c?Ye(_ z8VeqcpDLvZr}}*GKQqLrx52sZFr)@l2$FC7(Rai)~;#c4>D|U!y44orWZ`P}k!B`{H= zIN22*U<;Cm zMG$kW{@<{QQ=>?a(Ib|@dZvlxq0`0dtBYSQI*@mkNH9U+DAC|utGkOIex$QC8ht(? z!0g_Iu6LN22B6r?zPb3isRkxQv7O2S2HKqU-x(&tpdy?jbA*3elXOdLdLf7g&@MRW zrA<=PWH#8U^b`(Y%Ur5;-RtIU$8}m~`9xki?;}RZDH_$!m#eIm2=9)^PA{5PK2IJo zkjJFy`?NoPK2d{fA|fItxCrm3Q7rl;livSU`?7AUPCajIl8&z*5dVD+6!X%MQ=w;7 z$MK#YmG}Gd(8Pb)Lu`)GfW;WsH0^iQI<`g`WZTONgAQ20A@N=QRGtKOU%C|19kW3s zVmi>fk>n+`AXKuV30G|{f?oR)ifH;CkT`FeD7Nb2aW|Q4(m~TNn4=jYs7?ft54bo~ zVz`;AUGPr?<>#3Q$x?M8Jd*pW7Lq(O!qk;<4a4r3x_^Ha2!nqJs`C$#sr#oMQ`Z74 z5=Mau>%Gsp6>_XQu<)q4dswcN55Em-|nUL(x>&O zkB5qfZJp-LmaioNhrlWInOc$n3+9RGCqhZB;xcSdsx6#pQQAV zE#r!m&C`@l{{O4>&n%aSk1ih%!ngF51fXHBECGLy^ks=%Y)CKaL<3c+CgHE5XS%Lk8v zw!wc?|8OXMVZ=YPsCm<9-Zvg=Mm~%=6-)OfmhRCW%Aw6{nHus@7^LrnIh6|Y7{lOP z(V`r$t_X`P3M4uiK3c&M&V^(r88KDEp^_**&{){GjvNd-4U7${I#%m*SJpxA)R8uj z#q6;LeS@JNYEMy>DBk#Ui}|KGUQWbYap!+;#oe*Qh=#}=J#q0j31c_k+**Vzm54BL z@y!wKyd(5RgsP7{3f5h_d*;%+(6KR~cJ&q8h0`;atyoF$WGO&^$mCXI<;j=knZk0E|~!mkjuJZas|~9=_CYTyJ*C=0<-n z@ugOw{E#`Uvw&hGvCHRJ;U@h9h zL;(43{Y4-2w_xY=!|}+vc$}Nu5h`>Ny28}2a%Gr!{{`uWKDmZJJUjpxzgO()!z$qJ@w{@%QNA>12{q}y^w^DK&Zc3mHl@(LCB?}#CmlO5XW6qI z_2p{2dMs<;c@G_I`ER+jHaOsfwCba!%^r|U{Xjc(bw?baISbW$(GeRlA&6untqkEpjV^CTZ;Q*DYCMtL6stcs<+6R& z#j+VsxGjI0b@;cr4olYE+K*!;i*i|)i!m#v)i>k!mp^^`irXRB2$NeyjNmEIcT|YD zN90lEP7^L=y6t7yBV-1Spq6ORrU6cgu>Q`kzxe0n#h(}bGG>V~qFv{(ZhCw1_B|cV z@bRY+CBoU!eY^B_q!v5PchYnLjyB?!@56WtQGK*{UNE2s--IB%e*M@aG z14$C8-Domc6~XP(QDG!uE|q(|3Tihk=ksb7bkgf$z=>zHK|<4&66rCkb-9?8%bDK? zl$?Jf#;VbTF=#>*->mvrm+QJ&WRRr9xz3QRARNSNsl1M~r^870TLE*DDB+R~cSm3V zKc!f*g@AVHiXUN@LYS5>LIhs4FMj#?*YL(`S#QLX+p1hlf_=BLY}dkuby3bYu;94c zo4Nmu$LRq#2H$(ux5y4%i_vzZ@hf;__?v$pUWFak%jPyb)$53}$05p;{~GKDh&gABSH7$8~(kcb$Two1rbNYG6~tc~{aX4zboS2d^~3s!%4 zx{WG+s8{P{eYJ_g!JAiOCyUKu>ffvmn;4To3s$O(A{0bz^)yqdQQL@~vJYTA;44|mJv4ti#aYPqhfRanw$O8D5}juoH6$61QI2MN3ZvPGQ) z4iegWyCD~q7KC+d{IOLYUNl~Rm*IbT(X4xIWyQS*S%v3iwW^jubHdW7FRYlCSFM#) z^FuKV)=S}M5)AJ00jx*c`xlB(m2BGM{kK7k6DM@K=ivyTHu8x_a9Camw%eE@R+)6) zb+Zh7i45Y22yH7u&-LrDsto^5D=&m~Sx2E%fz=Byf%P|!Oadtg92;Ras@{M7O+BwN zT;ZBfCb}r}Cc_2;5B`L}DtBUGaz+vh_wdaiBAvxt@}-q6s90i#9t*0qQ=1_g*ysH>NHJBaOVoHi{da2N2g<)ga4R%?;5ad z{j_9O72h|(`34`nX*R3vibsFBRF5WCz~RfVWLgr9fUTHD8pk7+&8^p|Ofn=Ov_3z{ zxpzsNWxHY@W-meP6Go(qJYm^mq!|s?yckcIHrWFiNQ5IFp2*LBqImj=-}xUMeoXiC zBE0ONxdAjEbD(QOXs@$*s8V_e?nB0=G_0HU?0=iHZDLuUqLvZmtDJwQ6L@sp%J&)L zoN$3m9oiN$IsGVXww9N1x)f@wdjD~k^$nEq&&b>p#(GVQe3geXZoz^W<)f^72+nGv zv_6KkcqXs7pYqv5Ry1%r)EH2Ygqekv-+OmygS(6|IYTBih}&J?KV++hhtWsbiV$Mu zkgeGok`nkGsJ1kGKfr%>mGQNVM7Z5T^a&fPGZ*ukd_7awpj&Ddk6X{QI*pCQe1A^31f@nV88ltuN z3}tfgZ=9c3nU2H;mFU3^JG$7Qj?36=Wjs+@>MZseDYh}6h5qxq%;Wm-WCh>R2WgSr zi&P(eZcvUli+X>WLEb=8+&zx~)tMCLk8ByJm>a^YbEOAjhu}{Pz~>^)Jkcwr#HHsr zB5YDfoKrQQME@f%tyB7+-so8@geum2i!-&0~;+Zj8lAb6ekXM*ok1Z^^zEw+Cw(l2+;4%AgvBe>DI>~@P+ zzVRZ3BM{xGjhD3D+_hIF^_8VLYtxw`>D*~L3-FYgIM4X4Uf(30#5gf%ySKLM-cHNd zSDZGtcbj#5TRq%`&h2#A_3eiVtMGrGVfI>5NHjFsYN?+&1b+u5=a`BZA#aKNH&RNBf6nnX^Jbv6cav zMQO^@x%+2YpLmk>iBqgE*JCo?B)bmf?-`8R^+{jiD)c2Jk)UnDy=BS$jR`=Z&Kqi{ zh^K#$ozd1I*t7EnBBcxI znm)`9Bw6rj>8^6mteR`6vW^#M`Vkk9Q{jKY&oqah(u5Chr}VdbbdsM@1vzS#PDc`? z<8_h2s_ck-0wfLBaZnzeewbh*D_P$xtN3_b-UjL6`Aj*DfAYDjMY*(vyzE5ZKdggi zn^)y(-3dM56+N64MVzkP-_+aO172@Yg}t|BKXVmDwU{=W?rKDP5k$2l``jih?_q!E z@5Y3YSW=|_XHj1x@5U~>Gndcg!Va=gzWd`P`qf>+w&CmN!UmKbPHPN<=khmopn&r5 za1zGB?4i7-JIf&L<1$I)cPgo2?~2lF&E_3EO+9!TNTl|(S1c^ z6frZL48H^L++>7oO{?XC7s3{~MCp;Y8KsYC{Z8*2KqoSP`-c-oPgno`vdQk<3#dPX z&z=ZH7>{P4lO6D_{|A~ZO#qXaIVS@+H#d{foG5?oTT62rxe>nWSMW$yOf24yZ26K( zoXVb(tWL4_K#8$}PO>0_~4FN@8m*<2|; zz2ARrZx%PjdM2jDp;+x>>$3R3m0Imqo0)XeLu~xG+uq?xhUu@X-8QxroA`P7ys8_d zpB`4bFEgX3i}mc6>z{sjCslre$_pmFX;1L|Y;LAJ4fM@{^{9Z}on`$P2Pn}PpqYjM zKDl0^gBYHQ=89R_5&D6fG^|g>T5uMWY7c)~Y?e_Q55?hge7ajLHYBNDM7=lKKm~Ce zbY`Km<0`Xw2TfTunG3^suyIKrxU`v7dFEWT>bFTPx;cH$jIfviGfB|DQZG5NEI8$< z7xl;cB-8k4Y0x%$&7+Rzk~86S?3dj;%?z{~7{}boUSIEX8^W36wwgTDpOdASccy>p z^ED&IFdKA3i0Bbg_gUtoKtERhFDUW@7b-u0XX_=dpzpb`uA$VHui(ATG&Ik1FL%u8 zaO#8C&UJPNgk*xN5nEuMy9Fd#mzt}zREoa(%k|ZNuWEz{wtT-;l3Bdt_U`KaFMP7Z zk3UT~Q^8Lj%C2{iqiNK7^7GX{BAS1;=U7RSijjNQ3#X|#W;xBot2C7#Ghi{7Mzatc z9wZAQ^{kLVk<**$Vpl9Sw>iHjtkb6J_ey0<$TDt#c|s&JlNpT?N?9_tx>v7ZyD^3> z#~HRuhHcImwl59aw_Up_ExLAQk-m-luC>PdEJ$!6M<9)U4WxNu<}KfYo_T*zXM8Wh z2!De79SeZ1zRUz@1FRL~Sct8?o@G4KzyK4dw;u8=7?F2j$hRt4-muDp8d%m|7`#+M zp6}mv?1eSZcBpLjkEs)atw5`h(H)g7kq%6T37_QsJ<*`zFjHdsIGamrr++T?hh1@V zJQUjvwYcfKS^`eY4%&f$)?am(8Jr1VU)QG_1jB!3;S#5rKEb zX0cvB&b*xBE!x}Z0}(O2NEJ}a6Ko9%v{1ziupmWREa@-V=iUDB`sTXF7 z4&`L&Yjd*cb?8w3^zS1&?hmK8M2*S}Dp#2&;` zFA0sfb~W0`j5ZwBM~r{C)w9OV_NxP8=xINnVKtpM2JT1TbRAa~SO?kWvDDPeVm)QCn){T+($6uAr6+&NV(Bx&Xl$Uox6ESA z`7GASGL>u1tcPaTo9CbcE4pJi&oKxA-hJXKmuI>jv`#&l?%7NitAshWhOyb)Iyb%U zD(=&+Qd)c8JF!ATbDSqx|IAQKi;$3^m~eW`0UR%YoSTz7W>-$$;o(aLlFs3d095cN zSkh6ov0x9mejR_B)ykE|hpDG@mvF%Lds9hw@yFEYmbIcM6R)^vYsWbpyow~`rob}j z9*r{9Htz3<_e@ud9TkhXi8UZ@!6&f!fyfhm0}Z)7t`}vn2ZaEyP(n?MLmC9fa*H!DBG-SSs-?H%TA#+?0x($B)>yf8 ziBM3kbhp|c*N3Qt2g0RQdM?)MCk3L?M+|%f2~^}$tJN~5jSrt!oAi{3AU)r1@9vL> z^d%MLR4hK>NjEA?DXE528Jw_%A z)oK}@ZI4+C?2Y^}cr~ps8)}qk75aLk+elWeN3&`@j#Zm)!m8~ER&CC)YHQ%pVvIAK zXVq{90xk^#r?vmCth!UjeUdpXzvhdVSOS&pN*I4nLLWXCw-mWj0rMvE0fe4-e5C5) zrY?gX8urKHu((-QL8=_Q*nCRgw;wyP2R--sBM@P!l1MqqGmk*V0iiUEn@|#ZQp`m_ zSjnnB1k<6foyukz z1**O8DN9>jR>pvYr2~JDvUGA(1Q6vDvH5?wxGUC+9o3?BnaL=9$}5`5Li~whfvaM{ zQ%wMJytdt(;G)AUmpREeVg0~KhE&)VpoI(wtKq@|ZY9f0W~yVt7lXZqMHz*OA+zN2 zGO({?H7C~RrSjX+-g7k@I$Uziv%pKZrF-GYT60G6WNl2*_KeMfPN|m3eh0o@dBuM> zQ|je}-S!i94R_LG-1t0SH@>W>OAm*47t(d}x^!KSqw83KG`2<8>mpCF*{^noboHxI z^XaYYq>*}hA7Op>5wRqVuep7bwZ|X2{Jt)85!b&tEQ;LmpQIx&iSUPsTlIV0a~PEd z2uEdQ53T`D#xJXf)UuEQ@~Qy+(#U@x0#SBb<`$ZViy}iUt2wbt(f~CoGRRjihzwI< zJrHI&wlCh1x+Do8G2p^Mi1P`6J;&e8xk+0}we+h@yb{%#{Ob_-ZxR~-lt630N1fET zo|BpvrVDED6bAI2uAjKG$1tr~^=B3O$;~(N=@WLHC35|-=}ZyKaDajsgMfl=8FX%c z`LuT7BnxU3{h28um(pqsww*h?sYOv}JzXpsLM{$ha4$qI_YCB6P2_rxsr}x5Vn_N( z_@;hhJAN`(Hhagib4!4Z%|via)Q6TtWHc8YA~O@yPqBRwKVT%9TFaYJ_})0qj@h>6 z98QI{$M}4|*d6w-m2+TY7v*^3sW5|9$s*NgfK8wmPuy zFwV4R(z|gsly%9LU^bgOVW)qi%Nvr@L1X!O z+^;?!*YWv4mpG)T{_}wDbl`JI7uTpNK|jSUK;QiVmay0@+j$Ar<*O6ZzP%)RLYFaHL+NTE{P#=oE8Q9iu5>z~yQ)Xa?W+1Ol1h(@ z-S)Ui&*|O{wN_2(8W1&Q|H(psfa@q>oBw6ed*NCEp_>;s`csf@49%w?jb3l#CBy7R z8$`WOlaMztSz50a%Tv0x&4FYn%b}F+c`m-|ok_zCdJmtkAg?A7LQy%z4$_K%XgR zt03VUvz;JFWjUz-0wU5;L=|a~m5P4$-~qXg_?kc6$~jvz@vZydZNKA4f2D7_hN@DS z`k(9)^OHxL;23Qf3Nt1y^6ag@kp$8KKGc+)h(VQrM)mck#d(-vE{bx2@nK(v6}s?uBxu@ zt8$Tj$%^bRS4H^!^Uc){p9If1XQkF6ySdA_l*}5J8Eu)6I=k6sKj%O8-EDQ-?3-~V zdH%FoD`)Z#%`oF?zhK)+lVQHl!E>lKEb^+a- zW~~)}Q*i!T6pULvomvz;<<b%#4xK=;jC&Yt!&S5-bg>uuDB3w4Igk|8L5GtdY zMasb(#22;jkTJ|Li@Qjs!6aZSt{3`^Z7SiMH@J{vg|QdRDOJfdXkQ!9iI$N$BVEAT z5g91gIWcQOChmutkg+DV<8|W6uZ84{gEvBd1GEv;@vv()_{w(_1Db(e{XqX^N&$ixsnMU@ZhI^ z?%*{dW(hzWKYsXx*B)qqG;T@b0x>!06@hNk9a|h6>po2H?#4POx0xcd3|IvXTvUz6 zo&X&V*)(;#sl(!`uTS$+V5Tf^924;OwrRUVGwl=sZNl#a7>t9#G*g9Mgu-X>yWrw~ z2?FOa#4-+!w2?*ny%S)OlxWV8%&qAH@M2JLWG37~V$>@kJIn8-Wo`*s`BNLI} zWWI$+Z2~WpSJQK8mKzx+ggy6z$Yg+pu8gjqQj!DcnxXJL`AX{cK(|ymGnDIp#7+cq z#e!U1Lfz}tnj4${34aXz*y-n*I@{}XSUKax3aGrce8G!T;!kUUUz$S2i=JLN2dGJb z?zUWm(O>ZpU9fR~ioia2`_4OLyx6GdXCP8tZxA!ohB|BFk`&A!C@X-0;W!08zj{7w zMVSz`yJ7Hj9Y4Ce=$K8{w5cqA!iO<<%Ld+szlA5{M(2kPPy0snA5_1u?^bj4pCbG>|Es@g&mh~=JpbHzOoXZ9t{N{`O+h@c zz?>r4A1_-Ct;K;5L~A@|pCp91z3J=mg?JCii!s6614263l?XsJi~vl3KJ*j9_f2(+ z_+K;HN_i#~#l@QmhKBm<5pjpUyv{Ix@Q5{I3UCP6b3ZJphMZ3Cs||o&^IN^8?pxIA z(;3>`b^CpX^B>5n2vaqBUE5HuinMJ??a$&NU_21tlFxLJ+q3DB)}zSyk&@az$Ww=W z8st5Mj5?-Ibi0C2o?5g|e#IO&4y#45HO!7QlK(z>emUD%orWOb1T#!Ef@QRs-$`K2D(_M75ME~1jN!%k@N&t9 z zagT}E^MG%srfu4~-Yz#55b3buNbS${!`QWd80c%hZwk(ZFAyk_+t+WY3Y)6I6hs-; zkRT~lzC9m*tCEF1HM8PBzLr+pCV926=FMqEs8t-2*J4s?$_Ug%_@D0uaZN$AL*&%) zZc$FRmYyB01-M91(LWNqt>IA4J)bDbGRk?Px>A($yf0EoBxe>>2}!hB)Op^PtsVj! zmhOy|wW)((xzgX8t-9C+&azcwmexrX2_U}$Yb}j`bDP)-ok1rI9p#Uf75015$G3^| zLZJ)*#aU)c$u4`a3D7=r@;B?C-yta{lib8C^cqN?w2k(6}u5rTYOc zXng`ShP4nPPb!m&bpJ(9%7zk0*%fDfSwH7=WTK?GxgjdzsmcB&Xm zwZs^Z#!q?OzIT}>&Is#8QbZ_|F;1isVOkxg2{|A$m&6DGD-vg2nD%>u+ME(b4NPN% zIveIaw)6C0o+OIx*rEv$e;Ff2T6}0=WJoCD%K-N>W0Fv5dOh$IJr1f;+1vmR12HpT zSb|)zj#FxS9Y%>|zz&RX)h{Fx3t8fv1cC#WJ|;A!2$vl6z?g{DG~7HzDATC>e%3px zC~Ns+vASrl(07!kREobuH|Jw=IpnD)qF91&L9CHOzB_B-(e|R2f1YwPB%}%FJ;y2G z4KY?k!cW?-{u1_U58JPKYQGuytP?=W2p6$C+6mW_e}V5W{&{)v-wOs~G-H_%mQVo< zK_HM!X4k8WKmMfI0$!p;3;6iKPhDk_6U&j-GW+e~KOv^Yv81EL4amID7B$#)#}nFN zLTXL)&VuTMom#@2e>lZX53+)G`XWKa5GxEYWIOeLMPA6C!wc1Od7&Qb+U^zphcGKj zjB`OHu^Qql*Wi!s%uTtyUp7^J6Ea&>C+JJCI)xsGV!OXPmDwXhf%_bxU?iTD-ZCIE z$eop?lE2^kGki=;`55bcC=N3mVingWQx-NCwtr8UVbl==e`<>3%y7k?m{CM_ir*um z99d-~B4lxDj}Vc^B2Fv^h9h_Jc1or4r1g?aGpA1>a*P2ypLV7KDTAQyGuBy=bQF;W zzA|7;Pt^r1+gm^S6ZrfS+hMG_=&qA08^l#e^7W)>S)|BCglTc_-w8Sf=N z`N#vwhaXdiQe)%f1H7AL{*lU!^G}RjLjHjat6?Y307+*CLoxQ^;Zk!)gw`$a(qjo@ z{$VO_v6ns?d)Z@Rm3*SwIMO&QO`?fk4g8X)7k3A?$ai6? zZ)ts)DU}zSs;IBqk*+VcT~;@@7}uNS$I#_!HZzuEtT*{zRk?}VWjAHhw#$BPy5L_d zQX!vHe@lcNSfmh1J;6qR+BIuCIec1IgIP!EYQk*U&}{$i01|Clgv9!)^!+pGjlS(udi`r`!bBZ#V^*? zcDt^>+lHaV@WZD}f--oEL6{VfF&UsEurYXEf3AR;pXzmUi)JF3%B$5KxUtFCo2IDI zf|@YCsKBO%{Ndn3)!cTkx7V8zD+v6zMPq|+y$RkzJ;Cw@?9smiLzdoN>b2 zB_w|+ydzd0_lqYLrrgmt=qI=^c9yYa)Gg4ppCyzu%IGlpEjm)rZre&mNo>9-moMA0 ze`#1nNkrx43jcd?f~R#pTRz_TkJoisdk3wGWq7lQw;GGCda>Ud9VOO7d#s6CC%T*H zubhK<_VF+?r!saml6)lX{5Q%4AB>!o^k4f8j>$Kvi~BqPaM=JSOXGxdU6T!wyXX@_x-9 z(jbuAef1?IOv`o@=1dz%V(`%6VY)|(I#?_dZoIyoTHhA_?_D%ArN%cof1BY&=Q+ToIeeFM6raBV}U^oA&VvbJ4oVY@Bj-3cBkW`8 z{d3G*%0_N*oKdEGVhTVwbK!8Li*n;AE!!IdBcPRtzQCG01{?XU*ZZN73D8KNB4a|t zP-5*xBVe@PPV5V!5$d~2F&yCz>UN-GI|5oTZcBE1~ZfC+8UUf%>`B$T=lcHkB~%eFuxu)#VKEcf{7 zKA?lJ#wNUgnbW|B<6c8Tk7&Q6Or)_-&l6{0cx?3D{I1vl^lGsQ%ga^OG~osf%inL- ztMIG92hTUfqFNWQ!5?Owe?|cGt?xJ2?eD6N=HIjv+tH?4m7S{iSW_CxRlMxsAz46{ z<)*Ef$ZW2i_9d8PtuIO@^Cf~#;5hu-uQiFWipT4u`mH{n407)rX6I}_uH<-R=SD*K z(1Gl}UvC0~+f}h#hOxWerK(X!C+uW0(MhLlmAvWo$pKtFTm|J2r%Sj zqC6RjPZ{I`9)0zCpNc_UY&5?ud?!-eM4-l8MgWKCR4nK6X ziY5g;C^3%5C}ml#QpK4dcw(hsz#Q4SeUYjKnIQ@Y0k)%q%Vp=@V$%n1vANHAl5*hw z%n`>Z+I{s+_k-8i>|W`=7%+MYpzX5)=;y&HuoBqvkvQd0e}7JB2c^na2Tor%eOV56P zZ+h(1;6@T-37*aLXW7h*zKL>8zu#`V?snIK+V++9uBRn;@F+q>d)S+YwU9k- z^%?99`MCD^ZY9w+>$v*4+-}R|ce}njh_mW$g$D`PD-4hIJY1+~W$~r>_P+g&y{eBE zNu425u~>|?-IR}QD(;Tures|ekcuCloDtwvz?S_0J0w!@Clye)g_5&pE)y7@&}6|7 zjcTvByJ!yh`Tqgz-vg|ZfkhJnF*%c=2NMG^G%=IWoG5?oSzC|W#ua|wU%?_TRJ|I{ zokJUbXwy1yfC53WD1zESKug?RIuxmpl)dt=?-|Ze;!vX-rP>CP7xAJq=km?D%^?mR z0v!BsgYEV2cQ?;pQxXt@Vj*a7cOMYOP$X3#MT965!QDJ~8~!Uzo5_?#B5WR0b2BR^ zjD#O2l7)Xsl_kY2{mbN+yC0vwCQ%ThSW>CE={puoi9$@phS%Q;V8B?IEtZohRbg2* zNil(&#=QT1r5~fP$r}B3ZK>_5L|=GVH%XJ#O*Tt%`@Tr>b)D6g+Fp&entnpUayprk za0Yito~Lv32bcjuK2C(}%s|?V0Has|L^uF&xI%vsp#hkLR7`@q1z7QYS=8A)t$>SG zy_G}bRt`Yb0>MZR2x6I0N&t$;Wp-~CP}N(&K>@v}#q4KG5C;;)5mTB#Au2dPi+Icp zRpyb)5Q7cr5j}Wzsb?(Z5)nGkuk)J@qs#7ytVW1@H0 zpbLMy6SceZK2K|d^E)hXQ8woPBAumm4FvhxyjT^pvZ~TNY0^1RlARp|ALk^H1VCoe zNdJ^Ik04%hvzhv4p%q!>O}0^>vH$$^kJpC~0f(VVx%_{!3)mh+ghW^l)@UmaA|E3q zg}dg-E|5J}5lF_?Rct^Lug7s22R)*f5HEi+3Sa1pG?%EmyfiPLJdQ~tq!@F=6^D&y zm;qpX$9Qtsix`d&R)c*+lPQO7yMs+^7f1URgAcGF;IoOKVfoQy0)3wz(LiCOsLKO_ z#ki67o=+2SR_)eOZ2#!|%jfXgQ%TQF1qNs_ZIeOEev_(nFx>jKkpn2=#LOX_%;A5S zDUk&79#K-vea;vo7LoJBeej6mZ4&7b-S$&C59cYQ)_0ikqD$S0P4f3;p0`>2Q|)oH zX$10F6aXnw5i`8Mw^@Ix_Qe>aX#zQa42lk)ZT{T`l~&rv5xj_T>O;!0NF(L2Y$Ih# zBNe{#RUSysBJM1C^f1)G@Qz>)9u9wvFY0%5jISICB;eW69b?d)(v4=0bAedcyNku{ z>_T<|3}g=!5sG+xo=zV;I!P!&^#2QmPwbBO?1Mt|q3~kbgUgpdh=8mvc2jpCrDCVg0^IUE-|I6yOZY5BSU{zBj%Ce z=-jooeGz|#&KCY0Vg#kA&+YMqHFbh^k~l~5Qpbs>Dtvw`}zjN zxz9St1JGd~vreC7oR;>5&%C+UBG_%|?_$*Px=Uxc2lg)G-`i4^#aN7&4kSy zc6#J`8m4D#{kfN2Vvk#id9-T!LMevxPus7>MA=i72Yfhu0Dw*`eegC@5uE>fRIki| z=J-KPZv$1M24#oC`NV@7KjomtkG2Dw7`J#D)Qtc){1`@*4fq`yxN*i2<^us=&E<|F zCZQ-sV#h)~D^PTRopvi|LZAUbgeyb)pNZ1h%Qp{?p`bgoN05Ibf}#i#xU=Rw|K)QPPzr6cbKthKk(>I z;L$GdSom2_w5rmMx$Zmumf5MpL8uFmW|(I$T zJ%BA&wRu=3v)_`3v^HY94_FA}P8hc0oi|22?}^93w0$sw@2hg*;|M>*<=DLej=|ej zBPfcGXKQ2EX04^pYS5GQ^i;5dZpuOWw7fMq)W3J@&bNPkYMHhOM3*B_CB@vo`brq+ zbIxW^V5D_0r0IM-42Eyt5j@JA0YtG{EZ1XkNb1pIm*>mGS2P4zow=eLPn~t&j#7uOt&dOEh1d34=rZ-}iV7(d! zAlJ0rPs@M8d9%gt)!2ogifb5lQpzGtieI0sK_j&pc=$v8i(zBc$Mnj{8FD|5t7?4qvN(Td_FX|Fk@XI5pO5dy?RqzmT=BkNOtpdUy*Zi z^iI~hG~@M~$B`_GvRWj$_Rl)|oL*+ko(i%4Vtd8MxZSfci`bY&J89u8=Xv&rbROsf zpRQ}uU2Ho_(?PCpiz_q=wu&vQtT=cMYb#&W|A5h2w*7cz3Hr8w{ua8bk9CvGe$xs& zjkoSl3I*lebGFlYgQq zi~ZVN)4*}RuA9bHMdvouIbwztmt*(Y&nI`SFUJ9GsUDM|q{BZ72?q7$Mdm7k5gC`sM zpyR-3Rqh>}qr+AAG*;gR0R0^I?tidci7avJuIS2oPrYxKS|>$ybPP`hCkW^0=_m}d zIj3`cQ}5ey;~E4Y!^Y5P@eBZXjnKD6+m&k?puK^-uPPS^C+wJT$}rAz0O;BDLzt2; z49hcVaf)R^tHp{ll`EQ6MmS&?(0ehORO~k~csY}qxCBm4!2KKnrx?#C;D4^^yf0Io zM!;fA_D}=*AR=S*2c%3`FGs^^KlpX*Oexdc^fThvnrr|MDDnu170)EoRzo9aRtLTL z#*5_J<;u<-O>khK_$UTW_K{2i&Z9|R5k+G=a>b+)F(yrpgiM-j>5mQyV0$`Fc)&Bp zwe3%`jch2H&Gd+lY4jX6Q-A%OcM;?@GkKI86J#{g@IApjO#ycy2FxZh0AOYI>0lpl zp`0Ou8jI5mDKeI+{KIhiIjS291ngN!5d-@`ddl~Z2p*;Bh+Jh<_0o)Kg(xYOD>YH| zsfbQgeLEw5`lICFac!L2N`55!F4)K?l;G{tDCwMt*r|wkvAiIl(0>&A8Flq(PC60M z2Tc4^1R>vg9^t%j@a>HCvCqNdxC(2@jOM>b75*qw_`Y&(E*(TZokr{DF!~RV8Ursf z2(i>>uhW;TS4{C!J803I(hp{PyM3B4;M24||1g>R6s^zjZj}8o9rx$v-L}scV*Xx^ zYClh{e_mH_enTmkxqm08LjGUp|9Cq8Fmtlv)-oyktVo#o;`Y-0;@V+gLYd zAB_@cIl2Ft?tkV6@{Be<-F7*RC^<92K2I8vn=GD26wFxuUVmvsJC{cEKVTY-F|$Vl zFxotx{pET7wE5q&6U6hsv-0?5m@p}zp8|8=Y2eJUrOF|wSX-}vOqD+jd>&eN+|;WEG_u}NSA+VR-nNthqxe+n}5!!Qm>Xsxvs!cCwA0(x0)R+mJ zH*pH2{5{}AYmnKgn)><@b!YrEe3qLl0l@ba%nUQ-XTA@7+E4Obz_yftpetF^Zv@Dnif%LlK8?Xtpf zgFe>7#>Ef~o%t-8rmQD+>>0_UoadQkI_Hy3P_&WbUb4H#SuO;umuj*eqj+$g^c*P7 zlN#d~h#VX5(F%XMdz5Az=l%r_+JDwmgsXFk5lH8d<|zlEXluWIU558WFn(8J;JKxb z#PTe9kb1qYn@xy1_EBF2m~3WHBe0?s*iBZfS9Ps z!l#iS;H*YMk2by}K)_ZB`;C`ek{^hBQ{dYfluPoH3ugKB(Ee_r;eT$?b{L3z!g<>T zzi^WtTou=(#n8QR{_>7@FBc|mL*w>HQH4601hk0rXICJW#_AX!=1$RH7{^NnHwci) zD*0oeFPOP@3YCIz_qN?%b|l!tk}M?XQcK1R`|x5;&6lZE`(W2}FUQb->+Yzhs?l-Z z;UDJ}1p0RM;Loq=R)12JZ+e7vuRu7_6_3(N7$!0?Mg3(eOhj&tzoSOvb}pn*5IQPw z#FNb_1Pcc}f1#?=+$7#&r-$AIQN$oBP=d@%R}Kuea%56wp{o>bz7SQ!pqE3s!$;K;jX%l*T12{CJ$SUv zl>!|OVq1juw{=yKT*lHHT*5U9Bz*n)j|X*cXMcL~pFQ$5*`(H2Qau68Y3zwM zw?1iRKr!=C-sI}ro2y^0h7c=BNX(LXfsXhZU{5#6IXA_F$96X@R zm<7{HJmZrkz`Xwg(IEgTldNt?0XLJ;?kRtm&yEyF494&M6n=u5vdgYN65^1M90Z&<P3m;Gy(tCb>UN=%Jdm^c#WL|jQ? zCT=8(|B<9IiBU>Q0(mJ^NF`2~m`lWcDp?4>)(DkR#k7>EHry=KFieeFjih)$6s3RE zuNg-0FsVGL5vP(!@l@qZT5!$K!!L_U2EAz|gWh1(v^$!~FfVtzLR?_iFs~Jzth=2v z!Gv&Zl;J;PayDFBA^aqwOxCZ}DA&H!Mp%p(7F(dtSWgjLOP%1F6cH*2K*8h!I~CC? zm|x)xA|ka_L<6ycGX?8sMLd|2^hkdo5Q3XEAy|^8iV!4-@#v(?R1qP?Vrs#)`%w`_ z*r~8nU%+8L69 z0g}OtK?9L2J=q4!olP-VPJ%(V15A-q*g;}*>aGIStld?FHfwhkk;&FwO-QEYeg_6K z^YrKut*&YHbn{|Et0(j_nMQlm?HZ>-m3@;HvthoN+Bj zQbOe4Ztkw%-Mn5?`ZVX+&33!KyCwPb=Pw_(Pp`K(+coj-#@_0l;{`INEGyP@#X#_v7Bo9mc(ldk74jX(K99N-nMR!^PmlGSng*NxxUCcCon4IPny^qjv70 z?O8kHs`|KU<%Fy1=c72J|BNl>N}mfv}of(IynM-OIR-S z@|Rkqd0TV@&an4i2n)wETG~QdnxB@|{9EBrn{ue8F0El3vM4?+wjnM)AEco17oQKJ z8cNguOTXo5#2>u9F`tpuzXvWttAB^|vUQ?8dfo; zu-lEr8NIytyubl4NO7)Da}BkrPn?PcIdSO9u(+y!A z^F0!C#bG7S4lDlv;Omtrld*IZlRwxDlf7C81Tr=YA+`cQA5T#^=R;J`a6}QXcr`hd8GynPa`>$S`F(t1` zX)M@ynq9sAxPNNq3!&`nvF_S>b3a#X7AGc47*SSA_Y>RQ*MWwMM2xbstXObY3TXr7 zKjv1<>h5i&syM@rXSh;UtmpbE!&8;o$({gQSfCMXM59YB*)t7iIoWv086YZ+40N98 z=DXXQUv6k_Rj`6vz-UCFMO6x*bicm&>F26g;^X%PUVk}TJbBVJ#BzkhAqz=fqhKxVXvE=pu z#(x0$z9w`yq0(+XgrNrt-vUs0Q3r)==lJtD$BXzr3ZqmM#?PvEaZ>o%HBj|_%-E9V zH^gS&?%O7kKRvYf^zI=%E}OTNkeep*qaC7_id1lwj>nL z|45+q$kT%5d;vFuK-2nzsAnYIFlskq%DstE|o#fZ`2XN|^Wl=q&4mG5auvN^Oa|7O0m?j64`90!C3wc$nQb!Apbz%|S)mU*+FS=Crf?fod z(7L@sFNnp4pHocFDpgD_d0{wd$bTXrA9rVx7gll}a~E@*D5Qu=1b&vJC)XpI=g9rC zBhp+*wt&9UqYR+ZeHws+C0Hp0Vwm71Q*jGV4^7t$Rv!kddKY8!?y!z7q1i0Mpx$St zL&#Bs9p;=FHc;u|98xsQX4}FHTs9dlF|Cb}8tz^8-c3GxHvz|{bRSg1$A5O0S#JTS zst`XZs!PUt)I`pTG%{D_^CpqzO%tm`u2C#-(#^ybOtM#miUKOtBC!zoc1{K&+-c9H zfdQhslvFA4vnJw7=JYw=)$_v1V7*80O(fZUv^EaUZclHYQ6?qHkYwfl<1X%~UPxWs zbG?v6og{djif-!4oL*g-(|->E&X*DwiV6(5`ZD3wUJ9=X8fPjBm9vaVMWJ0NDa6^5 z0(=oAsics7T{_MdVcbt4|MKImdFtAIe5i9aZjcWtb+w7-Dx)I{H^IWqZ?N!daub0v z6Osta@#}t9a?-N`3f#&I$q5U|iM?RCFEd4D%ZBF>oJ`9gr6($zT$88FH32h3aVw(bkY@33+5k=pn zr7`F@(Jev|4+ur+`hR@cr(?&PbKcGt$bR~~=Lc%aMz20<4v>#u?Y2p}D*f`P##iw% z$^A0ASBjRYE=L0DeCi|;qz&iNIPVa9BH!@vBCay)a>`K#Z?euMw*a7$Lmty^mhEG^ zJoGtjropj06ZaO3Bjfhn)={~BF}aH}&!ouS$UBX+Q5M?M(`J zI~4HL>(xWA7pWiPumx5s$%j7Q&i7E=r0M!9yu1tkBXrvF{9&^tnx{>83=YN&4#vzv zJ&jMH?YlaJ{(r5TZM*Oro5l`#`0lXU$FJ|Y?K;vOx?XfX>E&|a;5JN<9D(Wnu=4GD zFRWyoah+N(yDAZvetIyO1_p|xz z9kp(~greVppSEsSb+?KuZt8WjJSjVh2`wV(&8PaF+J7b5q%h(6oySS{&2tg zO|;U}p6L{G1J{l7k*xQ&;yQEY;leAC6n$^<_XYiCxI@;2qn|J*h|Eadu%jfHij1Hr ziBJ!vtm4J$6hkUSDyOG=%HO^YbBvFS$(%Pic}DA4AObHoU5A}VML1IN1QnkYC3>W@ z6>msLjei#b8cq%iMZahJ$8BiBFYGA*;L;i6&#n&jG3w?8g9JZjR^yd#=Nx&fWV1;n zlE3Ye3MWIw%dX=L5)S7?2B{_28$jy5MG5-fzGgzF`{Q5DQ`0?4ly)&VVDsZ7^l=dl-> z`+p=zrcp*5AZ!AHN4HM&5>#g{%V0Q4PQbiy4y2Uc4w5+?&gFJJTrG}WIwg^Gb|l=A zr+*D4MD*i=N}vt_E~MXEq~+nN8Wqqs{MO;;`B>zgIn+H_=!DJ(=_tjec33j$g3>8y z7#yo)&ZkQYSwJO^);XbcH;y67P1fpfQX?vxZMP0Jj6xjW?Ys8w5bx>n=ILSUa~2F^ zY{Y1E7uze$P8=x{l=$@LAr3E8o?S8}Uj(l-s7s~23f^f)D{hfnPfYx)~=`YurPEr=lzMOcgfgmc*SQte{{<$k;Vc-Uw2Pq-cXd|CHv_9Ct_ zEXg8b4tPwtaE`Qav~-#^~oeDjK##AQx%o!q`jSeA2ml_xA=(q@M7L@SeV zp_1Ds`6a#GR;#rTCM~OW#Z5YY_Qftt?CPc-acI+VTXlWa(0o;FhQs`dr7b;l;r$pm z+Vm0mRl6OKtXFH6zHMRD;p8KIQoVoZs{v+*x}&K#U4LZr>+O#qH%Tur|lfIPo>1q@~;k|vXXHd!+PQzE(D z0Oxk^plcSRqj>Nj3h)Z)~OmD3sOh)R@Q-&Z@&6Q!1UTJ*Sow1l`A`>wrz5gwWX z<^B*Jf;vQoq34wgAJxsnuEwYWfwI+FDxLm)Wz|HDVOUig`gB|M73f^i%CyvB0s^$G zhj=I|D>ISPR%|NpU+K4Dq-Yjt_a?+1*;1rc-v|4O6pR`M^ismUfTTrV7i~%8^~7i2 z2NHmbJ&3;>hm1mh3dCWVQ;K_sN!HwC*4p4x-v^oMAQ0Eg3xvOaI@&x;yjnS#?%R@f z0jIoxIQaSC0QmI%(pjDpSgAnxIwCTFm30BEh^ihI`y$ez0EeP~J!-0g6kkA#1?b83B+xb@ zGoY7I6T$05qIcDOSoWTEeWL?B`K(HAV zxE71;O`a*HuPG`&H;E)nXApO@w85SNICnOa%q0p!g8^1v${8{<{1Sv8c;#SH^693H zsKp_vSe`I{2kF@?H&D*^Mr2wuw6~i=Bxa;_o=F(3fotyUWN|hnWxYts%ue?HjzxH( z$wUGcTxnf>0DT&?Nh*Z)$-l*5P(L1`+?&BiMH1%?;m>m>YoLe8O4vN*&`b#fk6$F>y)TAGe?~qWy4|d&{s{uBP zXbLc!fg4|rFAx>hk_z&my!7RHCLSil>?00^SXmGNiNaj7vUdhF|esXz>8ZY*j32%h$*fh zrU{6tKN&G2X)SuLjbb?<5mPhCPJkA`m}!#;r@UyFkQVDMcM)k3&U7Ly9K94zQIPfu-<4_#A<+riO{vT;MO08*=x&xNt@n*hf*zK1%2|h_u-4V#b{Me$oQ+@ugf%dqo+cwQoi&zN+3o zga%b#H=#$2y=4-5Q@^V>6(zm%ZCT=fFX1e&mfT|^VbeGq;6gv>B)1-#OxTVtW;Sgo z-I8o=H*V|po@CpPCtaG78i3Eg;qyV_#2a?Q3eR$!9gzBplJd)NLr`PQVzu+1xm&MMY4gASdd^ za2+O|G^d{i{C!`AfQMK0xINixf4^oAfA?$hc)up5`!(NL(LRDupW~GPx<_%q$;F-C zB)m2N-Lwnco6#Fl8h=e-LgU|JFMl|KahR)#Fm%{quqnnOjD~8&O;N&k-FG9J-Xr7e zGa_xfcKtDI0K6=xdp@w4oNR{5IYal2@X3_h&MBlY5@|OAOv^mvJ^XFEzJX-+e*vFV zS{DA65mO32dYdEF+`qz1+0ic4fbC#ikV8T@Jl>vYkYnw^=e4B?wdDcJ9Hi4aU^CPkk1M(zg>f4$J6$M$ z{ZtSFW={5M2(w-xAUo(lf74sySoYm8k%Do;U1V}n-7^Op#m(Vw7U7!p#jz0ggSi0q zP$6%N0H36UAd!5zJl*?3Qt)@zz;rW}JUwnthc~3Bh3ldq4{OD5P($zhzgp`d;2y92 z!2<;TLUxAZrnlx#6@lX311caE!1jla)r5&vn0@FwC_3oS1kZP9Qd9!Y;bB*gW2p3z z(L*4iZ|(e2p12Zh${oXD^ApMtm@kcz^`(`oPt2c9rO{OKE1j|2|dypt`B1G&8$!5F;0nYBj5?s;j^H zswmpLYiRTR6^++F-(3CiHMfl;PIKMd+%=q1qO@+bFvLmI+}t)lw|CdS-24C&U89LJ z!s0|ptg+345r64am~|UxiA+^a>|6OcP}lNHfBPafahp-`!k&ykejlZCJy( z1XXOKB_&drX1Tfg`4`&U!jC^Rln7^=M?ZDbFi8wIaJz1Py82tqtRzb?!k7qaZZ{RX zI3wDE%8qaw&5zTB%mgk3(V8_2PMnP<{Ieo$fvSU>Kz}NAao!usM4YO#sfsWQ76dP` ziY&&6fgJ%$sI}38s2MLd#&MMdy`hv=L}|jkyYhW2&0~~kXP;spRo*8+a!@x zo*0)03alp`LmQnHNq3cW&$m)Q;EneETG2^?=CX)P^!PVXFTwIvrQgM3DmZMxId9)r z)@HD{7=ImCbBHBeiDL0hWnJTgF`KlixTG)?oWW)sVjwK+%N# zXV_UNcZ4~82FgcSMi3!&jEHS5m@zBZhWku)RP7X2C0GS1Nm6$K@SlhG_7dJ3cOLLT zC4U?6-jsM>C5K!&^SUdv?7qHm9z#;3JLm+UO{a;B= z2un86I}14gIf;?8kRYrepxhG>K|vUv!Gk0yhl6d^cq??l>z>1&^c;I)GwjJ&{e&|~ zjV({*ZIwMSX-<&BmZ8ENFHY?9ID24T3V$}u!@32{m;=lMkm6C`xBVL`C^LTZHEDcf#+f6aViAQV!%)jpU(J|u|1}}ztI0`1w$a8v)K|z_<&#wVtDynz~ z_zsA#nJQ@1?A}WWAUlzbdn`@+SERt4VRXB2SQ&)i!|Jv_dtea)c`5M1fqzx=2R2ic z1IIEjw~+i6kKd*NCgya#iHH)!Hbxn6oB?!g!YPu7ElmSu6${f>VY?u%PJEx@?wR7{Ugz2 zlU~)cA0)6N+jvImn{X1JM}J)-je&TRXUh~y6m#cjNs^@v(73VnGankwC^x>Y}@a{*L#136q>&FclYZs6!T8_ z!6$r|kjG7GUHs)kw;E=Cf;2N6AOo=WU0iMbh)Q%A#h>N`J`Iz_mg^9%`iu zc-c(JSm8KJ1m$C`TTdp6@FQ)n$DvcBkXM20)=~uvnI%pnRd%JI!u7Nd0wXo@N^+%C z@HIS9k}LdSLauPglPkPAk}G`FldDAt4+wn-2N{>cXAxAgh$F-S$&>|(5Jn3q;Eq7{0_3X%0a!?-;o;j%E5Et(EYJoQlp~9p!C9S4HYtbRuOct6_UxiC8 zia0nMbG1~zzc|WzFZ@M}x6oe_4fG$PQi;f)|4_#)E`>LiJ2U$VRTx1iW}?rAr%}=g zJV8J(qf1137TT1-#f8R}_Bd-M<2cRAj3ZC2mlS#3mwy1~QPO`OoD1e7;CFognoYy9 zfYGro0B*#mv;-p-(t04(NFAk?vE3Bz_kFzaU6?Zz4J$9rN{N{{)5fLM{8Ew@JoCXhC|3YgH6#mU|W%arKciojrCMfP(iKL z2uew6$A18;)%oi>SPHo1KD?Ie!iX0Sj1F`Q6i>Bx-STj@pT#XF0**w!R*LS^uEDWw z;DGFi^0BPu!=<|==&{`0Z*k1?U(^Sb@hV4ps-~<|CNi9QlGgVmYjl@e3*a0#D(_d~ za=!f|+kaeJ(T?vo*Xy)6sJ4pEOI{mUad6rA;(ydT!kB{TDWZ<&$rEe^w&Di}!^_bk zW&BRndKZv*6(D&a*{VdAlbm|YRIwbqoCM*t3e2&X2F33=4T=|~!4e37F*wfi){jRv zHX<8TUOK#jPX)zm46YO^-OStgyP=OS&!<%(glV;7Djn1}CPQmk?K0ToKV15c_uV?a zfPZK8CIC|qY@D6z0{lj=SSAHMg8~|Jus_A#qr=YseIfN0;U@TPw+f|n7)wR{!>WJG zM&SD0M}PR~_!9XFSENKX!@DNk{{8zajO6rt_VC7@5ZORGX)v4h< z)4-v4jFj9jHX;0Ix6SR&{s>dC8%ATsS?(~Q*1C0qNI(<>EjKOf%YRrn;|iqdvp@f0 zOz5<;_F|uT+UVHUTFCgHAOLxZNyL2)u$g}gwOo+(N(y;o^U;-vQz5GK(-O{rm_y-4bkq|NIB2c_EXQi=0**2*rInz_Z9<96&429Xtb zJ_9ujH(7#euo$r8z|L1sD9NLc3GRRO&_PE*D4;!yLlJ3|fH^+51PeG&Si(A&7R8-K zGlvO3vSzS2jB(i(mkHiw&zbKC%Vl05a1}7+V{&p9L>`FRE;>uHE+r3m#n!B|>O(f- z$&P7V517Yc&o(-iv{B~}QlU*2PGzY*8T$}*Nro_tKRqaF2upe>6Y?sIWl?|R1)IzQ z&$Vyb)koJo=4SX8E=3i17UIKiW8FiN2x}wG>xinC=H@BKr_YY-td9`*T>^wpxCm?z z%=2UWzuACA4kKa#x-O@B*lG)~MUpN+-TIVgK8fj_7OiTKjT8jq4>WW+6Co-{xf>30 z7XT)AVHDXr6u*=u&KL&(Tta`a1PdiIEl)#hi+rBSEiP0mBDEn(rK}K=)67;TWnIXv z%qDsrF;L~0b9@KVz=@$ok#p`ejw}r4*iMsTEwxQO0nVm?5RP5usSc0USPljlAXFPw z;;18ZY`4I*Li&J9h;vg>aCVy)M1KbhieynKa7;?Gd7((7www%H;KzRNNPXQZKAM$_eN7$oc--@7M1fD4vdY2H^jQh+(@!w8nzU$jRZ+Cf7scemp zcfcpFOMKWRi`!%^OJv&agUoSSRt_=mL6EuEVGf4V4W|LfF-4A`Z4m8v=0HG1^* zO|VOcOwTSyU=bd&Sh&4f^glXx=K{GI(k+gYDk~XLCzBsJg zT?kU=iH$&qtY{-v5le8P!?@@Keh>1Hr9NsNUyM|CNn(HYgz^}7-Olc`9!;ThOzjK_ zT$pw<7mn8==tcS!$@kr86q#WCq<@tb@Aq>QosGrRANx)~eG!>=V+L&~$gZn(XCQKC ze2*a4y^4SBp?lW8kVKXj+a%S_F4aMvL+Zl=QqNHOsV?mbl|A_uU}{--`k)1|`iwj6 zDF%s8*YnL+3qkLajQZ{pBykDSgF<^wP7LJK;qy-}j2?r&T`n|_=K|&F;aRHSS#k63 z-B%0ne?s)thv?yN%Qd{q?w@C~KD`y=Tkw9G4PSrD!XwY7c>$iyw0X$$r03!A0z41X z!&7?hn-{U|lX~tCFT(Ti6wl`HBL3{~{3fR+lO0nNuhZjqt;6A}_neU=yil@cYP@}t ztT{ZH>-VqWP<~fd$>LV4F!r&mSFkSpGTCwYTVq+x=>EZX#es-JKuSZ`a!MllC-4o(NA(wz6R%|DofJ!RV2VrLl1m? z|C51R8SqloW5Nr}rRvNROhnd9xGeU3MEeyFax)S7_J8WFz5|_`yH;70 zTqxi_3|P=!a{rd86&&pFVtgs@R8rwRd}Mzo<_a3Xf7WG%AbpISaN7s~kLC^p&4bcs)L?M3- z_Mf^7K-v}v0_RCbFKMH^=THb&~(qdZE% z9_<6+p2I>fMlF8IwZ=v;NsSd#bo77ygqmC0F*=1hIk1}|vUS+0QeVc`s@&jQ{aEaV zc#Vv$AY>L8mU+>(fV2%Fr}rY`hhei0cOw?Y=H_#>6qfqm@Z9Qol#ZG0eZ42>&kogqgpD1P` zpv32XZ|x5^Z~hN;WEnY=fkhJnI60G{2NMD@GM7=A1S)@6OOxcb4ZiQM&{18U=8B}K zhh09{N!I05W>V$M&Fh1vTiwlAEp_x5d;Wa@0@Q0X9+%6$NE8Kv00?{l7zO7b3cmXg z@%!7y4UtO!?UAOB<+Ck%+tgyWk4+ptUdpZ{!lu8JEm3t%+jl&B zqBkupJLcZaG2^E8Z%=>4s$H9wXNKCIfU%QZiYR&|JG`}G zb9?pga4o3a(c5WM^4L}tjk=PjY|RtHQ&;|PC~G9|J<-9*iw64Rj{;N^|;f&&s>imtZ@`f;WCBbbxK(Ci92yl+U_l0N@dv?w1A56$&9^d-}|LvGri z1q%A{lL8@Qq2olkKn>tfM4HCI;}InNfewFVuT2_04A&i)3Cs%5vUL_u#_yi^16^HQ z%P+wTav9#bayT|LJv(36M5ZFwnl`DC?TR_c_6kG1Rb#NKmVwcU$TD_|Z@@B%4v)4w zRE52wIQWgnitkHia5+vD-E9i7jy1XBV)*y+^iS4_dQKF>o@*G*4j z4?y&F8zAgnXx#df1UAn7z~JzFVzB9i2faKWjhu;8s=!Dk@|2DIuv#{43)+v+hvxDg zuIKKqM-S&f)z1HCm=5ICxoK^GxiWuq0%xrlen6G7sBAyu$!@l3;RwM*lJJua^kjoH zB%olA2J>7nA{m8GL**@4JlW$IbbUj#qZ+5Cs>s7engeK2f?s`!l8wpn<0o+3$*Upu z@;DCm3QUi3VnBS3WV%|jhy)yAHg&`xfj2|T;4mCmDE5~bV8#$1=%;;ap9X&fKbrKW z9o4af?PdGCGbSYb)8UWNo%~7smO6WqZ7*|SRQdZfWBt=sA!fY#^fPGrW}`afTx@) zT+%)8JVlZTam{E5^QIvTC%AtY;)k8vhwJpK=$29Bby2y9a*m>^XwT&mmq@Fo>nx{u z%>^6$!+Nep5iyYdO3xX6cLWdy7)EgvhC`h`PLNkOli(g<849R99AO&ERVqx)l(Ce{ zSjy!R{K5F!@aGQ?-)$r^tj^3Tlfl+7%bDQOYvPJg!V<)!>$Q31`I~=8wnzpIoxhp_ z;i>36PJ4!3vp>KIA&T>#f7!Y$wu>1s9=JAVghNxGTVD%Wj})sICSRSwCBZlQA)i4u zw~>@W!fEW47CE251JmU}0trcHNS8TV?xl!xE?F#7=@~b$Z59VJqOZ|V8Tglpwl)V> z$fftIVryTig-Yet#*lx`Co&~6nR!N^qsZ@;%xDs!RO)Hurt}FkPqUrA*pPV%q8nU5 zCn+aUjJ*H%-`~(5DnJ#FwD%j#WF%6f=G?Z}hz#mTruk|k5a4hlA!An!YU~7&@Ry6F zs+Sz)#g;yJi5M2ohYp-Gq|6IrB}tSO@>J{S_b zIB9!}nfOc-927%&N8i*(CfM#DT^FDEL}bF#P`g%n3kp~Y=<(p-;-wUTG4BYkGb418 zESKTE&r*IUbINOB>tos8jn^~T`ZQE3lBwh>T<%QS6!3pO(R;e(@Z*+kL{)u?4I_TXu^@lAyaG}WJLZV_bHkve{l-FCewBLJ^B-@ZFZBE5CRK|f{%BYtAR=mrkM zaB$=L5+M%O9qnQ33I)#dHuT+l5Kpxxz9rar4)G~=kAQSoQ)US?vHgXnyTM&=@s|@9 zi+QdpGxnY=_3`FLrEO`5asm0!GZB@bxZAuBN>P8UuK;pnO6{zN+j!e+=mLklYje+!!MH?Pa)%mYa>Vyb8A?~30*e4RrL0aemM z?E5$H(5o6p&~ibNUo2uc{{BS!udcFu1!Ud~PYF$xGJN8p$8KJ zH9412nFJ|+wljQ zXpkZ~kTlwC_K;M$MgRyjx*Lt|uN%&1t64t#;Z+`g|M2kYyEoj<9CJpP*~6z9R|T_N z%#5~7NIiR4&VI`N*zDSRS?%xUQp)VGuBh>;*=(ABJ5gj`>)px^sjT|B+&*opyMH|V z^}9Es7!Y;^bDYoSLgJUmzKhe`%rIwV;inZW&(&_5Hl<<)NC;6_jhw) zi|k{rbCcMdJ0`7!$hYq+#bB0T1$P~pk9nR)N@g&}Fd=L=hbNggg&Z>fJ1{RqX2Csw z`~FXVUI^{m2|+X@SG=SCJ{RqCo2Xo~sUZ2KJ$TNnyKxW96_X|6 z(jFpbd@A_0J%nP~JBybdyAlrf?#4}UR}1N0e(XxZQQxR6B^mtt4X2J^kl$umN(-ic zbaBI}BhbjH;MX=WoLOUUICcYjSI;(?b7QmDuV4Fy$zI2P_jAz&!OJlzCc3%zYv9>) zG4R0FKpQzcv9vU+W)-{l&PsV7ES){MpU@*0?ORVis%6!_ZbD<3(8^#l;k6>wcr%?4 zW3{vui$&)bzil|%^_N2y-RGN0BldocuH-dHPPCb22-LZ zA&WC4%FxUYcz0OmQUF3$oEdm2RhY0c ztZ-ML1ALEzvmNb1=3u*jAj>_L(1pp~L-r_fe{O9PTXd} zT~Bk|pn02zyB)Y#m!2Xpi_5&mIZ;QTUo_h=U;~69{IdB*BZLK-rz3c$MRb7p)HZWi z-X@rc@2=}lhxxu*)$JiL%!ds7JQV2Z#~pou;B9r*UbI6biMktq$?Ul;qsZvF%zJ_3 z0;y|Te+iI`CiNP$Lk(j7(gU=JZ+5=Z(s;9@-z_1hZ`6C*SBq*{V_E<>82NIifloI_ zPbMz)(HRW-lZ^7@b}EpvEZ6ZE4(rlyCi~08VHfRzhCp9?`hht5W&92I4>RKuf8};n zI1#iL&2F^^R1TPbuO?@}p*YVs>CR(^Z~{Dgb5{s5NUV%_?VftyyuO;_S!0r#=o3^?HmIW}DzqP~7HPFu(~%#4(;>5a4jL!%^aL#HD@hmf z389N;;-)aa5Kn18i7o1%8%af8#BJ^lhppi~WQX&9;^j1-(w&juu z%TxPKauRKS5{Ki?r6hHdcRk5Su0Xy;l3~FlH@`Z=pOXlc<30>F8l+AM-hu1HsbKsz z1suG&@Dp3f+)DzB>2A*JB$5;oMx{g=N_unHc@XKLBo9!Mdp`;^=0A>{rJoBpc~7l| zkb`eVAKtzUK!P!*baWDbJNB{E$C@r~obVuxl&i9Tjv?z*F29UE71s+IAZ2n=>`I5I}yMGKy3Hpfmk4Eko#=fhDM0_2Ds)i)Kk2u4NXG0Zx8$9 z;=HPVz@=7Qk*EoH&1+&)lDcsihd5SlR?QxY+qTqy>?%qkfWggiNwpnxPlO_Z@vT@3 zgFzDTdV*OHmAJ&ml>&#Tj=d408WSV=t8;EfA_4M$?>&j+hUPW?Y;+ zJ)wsJ`;uxtkCd4uDwCFJ?rj&iP3vE9aA$B^;uYQDUkV5~CY*g?J^4R38uLpY(s|CM z%au^_iWNCDoeNeJDM*pnrvR=Y8&WTS2T3X8Fp%1gY(tK0gGnSemx|ZrV$tlE{Ubz( zldzZmp`tt<)>J=0XWhMH4C;)qF(0YMrN+~Xh#JBIIeJF0$d&A**f>(A3UA|*86L5p zQwbH2E(f#HWl3QWkAPbVOzPhjO!|z|Owc5^g2AdNg8c|sQk6@}mAjld)M?{?(OAmj zs0tGcN*FAc%i0I8d+O4ir*>au@PuL@kH-qEQXlBQ*|c$>`Wb*F6oOn<&EJ2Z(Nkzj zRuh%6EVpJX%E!Db44zeivWjBicwMyHX{hHoIbNuUWV#170xt9b({!(EEv z*=mMo&o6NJ{mb>m_s@u$8Du1tv+J7~Mn*IEhG%3(7(<-Qq)>=5F}vQ*-W2!is;e&N zjOk*(b`4X!tAF>G)D-viF1#og`?_s>ulDBh?e*Wkf5ymQ77}Klf+EIsI>m38U_a*M z%BZv}qv^P9RW`f0v~us4QitiO&P>lJLy8?u|1u0PGl`7-3IjC4Sj^@Gal>cVOX#%; zyP|_$6bT7(-S^)x#u-5pQQG&ZLkD(ZmyAm!2}_svWPfZw0%kJbY(MWOPK{}T7(P0+ zU`4vftp4x6gHJk~=1y4mySqEI@Hml#QRg`n}xVZmKK)v}l`My{tO_6qZYh z1(+u(!h;9k)2G6jK@vaiRQS10MNL6kT%4qcYjR{_bEZdQIg?}zQ8ywB|AqptJVnE*Ig#Qt6CSqC0U>GJR8A2Qdp+?bUPz3rpBQ*FHVa2Wjr(61$Zs&Jf z`+xVHHOj(yB7B&_2u9pA!`TQX6DYwLM%tvK+zImHDPTftm+{$aJuLV%kK!22z?%9% z)(DM?qX=3gZ8K(Ca(cAf;J}pbrBvW6+tNMI;}J z#2Jy6kH|!%0|H$TmQfglW3PNxJx96g{AmptugfpIMS zxFkiUW41qn@}(-Ws~XIwA>1hPV7{zR4Tc$vC}a%Duqnns!6~&dN9!D)h%!jr*wNm` zqp{2N0Pm6^&BQdo7qC1UQ@R9H#((pNM%~=r?R^t0K^1p!^jq7oFs{I|cGkufwZUoA zj~OFTSb<#}&HLB!wQ^7+J#=EbINs+|@F0h`u-1x5LX4Q7}e!UHyEMK>cU{L;{ zw$y!FIg{I0%PS8W$47@H(tnZbHs!Y3WDgvShhqoZ5T zvEYymiHBe2<|Q`7lib8dBv})kVaf6oOD37sbAZ|;akaqr;?>V5RuAS#dB6G>Ibg*| z33^yogwa$C(u&7EKjf{F9A_gONW2No{!6ez8_T?#cP_NzVpoGrHh+sz5XQvOnW4aP zVi6SfC6r3XjAJlxP6A#u95G>K;{1nwdP73EibAp>Uv9)M$b*YkD}ZzVrgX&JM*ekG zcmADY?~vTrx0`y=6AGJJ+n}&n`lsN=i*{S}?1>&9t+WI)tYQVJ!`{J}uP!#ePSqE$ zc6(S%*)9DOqldz%dw(%l`&C~&?W(@mz9`hxW$*Zpv;Ix(4vOD99AVP>=f7Y=fEPs-o31^E{;3A~Y+sltR zA%Gvc4~^etgxFS}igZ?qKV~d>P7FaBI?f@VGVsZD?+fNEKts&J?Zc=34FisA^Yy06 z`md$*7JexM$;3Bx82h5xcRy-*)0&T9rd*!^%h@y@ug$^h5 z0%Vri;GvKK_kZ?Bkq0WK5fdVfgI#{3>MAgB&9b-1R zVd;eli5V6F7SWZ?6+c+VsazceJ};}L-G{CNp9&xAPxTI*##IP}&*z3BU7}<_Mwr1p zRU7Bw_eo#N)2weNb&lN_85TA)9&PL6L}@`12)XHyiGN~UfL%r{e~$H`%q$R_4t0St z`j&^bc2|W2($c~<=8WY&M~H0(b8zZ8!?O6Z^%#}i9EE5n$N4d_B*~QqsH-FV_Xx5F zB#See1~j<7)XeYL7PW#_div}25VL9rL~Zxs@TejR1rvnUpnAxLI!u_FL>wI21D@{b z6`rD3|9>gPG>>2%a)M&2volPRFieNNa{9{*;LPTf_b4$IcsXoa41@sDj-rwj zJ0LH(3^F*>Z+ErLSHSn_fVNPd2-`-vT>6H?EPwdj-M#Y_#l=4KaCz}(|4@e{8M^q8 z#;C8*c#0XMx1*Q!QX>gjYO>51q#4=r= zyI&;n?uPI8?$&NN?9FK56GI$K`+rd_<2-n;NANz2 z0)OcR8v%Bxl0Cc~+p_^8z*5ytdv+k5$;^}*m^sznM5UQp-U&*Znmn0?b3`D$J(_0f z;*ko1m`sOxS|N)+s;>2|9zA4Ck>xN4_Aer(omeO{3=vKrZGFrLU|;Nv)~CNt5E^cp zL*hZX&Y9oIqv7r@I34r;&NDbUxW#)wxqm4Jz8XiA@#3YiH4S%Uo<0ui2aNSMGzS#7 z^_4na)ZEwmb?%S=N-(8Iu`fls#6wOnZK)t1W?!KconhL)TBaS-4j&IKZyqr1uDb8) z$fKWr47a+`i7%}7A+4Tut66NmetuzXhllU}zw>$~X=RqV8(0RGMOi2dOww=he^^!F zeJuZ`-!durw+T3#BH(I@fd4N=-jsizI4w{Qr)Q|-(L>UovrMHDJDRXei3kzry?e+} zdEf+`(}c^5DC>Y10E*lIC|dky;Yf7S<>~dszW^8Z9a@u7vJ(O_HItzS6aq9elhK?g zf8APJbKAHTe$TJa>_dl2BN#UlKrRnyyU9#DPCHq@CFu-p!8Run8IzLTY^VRd2RDhJ zDAJN0@3t=z2m%M^`kiwi;mOqmPu@Sn{`*g7&raSEF;PfmG@G1VP6%U&lS!5eL|HmH zn@>I^ch|+ml*;6KI%A9_wQkmnRpTCte{%Ze?5`*9C~FfDh+#E>1xO0!h5i&S#9nSy^jMhA2?-Ye)~@ z9Pvy|S|&umVE*ptXwgs-1L7}xpl8{g`jQax*#Q)NCpC5z^?4Tz#oaw zS8hQJ#vtF;-3>D&3$y@TDQGbTf0zZlP_WM~`d;Y8yeO}Fc%muFV8Shzqu9a6QJFYj zNS_Rr)Bg`x=JyP;M^J1wqFB+^>wcY5iP%=Od!f`Gq%tFR52RubMk@Z}yi*Q&=kZ7- z$B>Hr9+2u~4^n}D5Jn=T5-nO}LO5a^(hsaPz-2y=;+b3jF)!!U5(-L@e!?*ZHdQj~_q0f8j@OKj1#_M3@+!@x+|YkO2Nt3R;A>OE~oGS{wQ@ zS?PM&rn7us_y^%f5@e@e1TtMgS3ttxb+ zsq-so{7N~$Vi`QxSEYFY-~(>}eBd*<8Z2?HSG$F)>%1Ha1qHPhsFiK}Q! zA8fQw;igjH-BU(fjdB5Mh&DNw;=v#*W1Kr2#Lz z-8=9vf4*+^re&T1M$4d_4c1%5@(qVDyvR#82$h$8DD_poDsF9hc;QOTbEwJI)_kTC zfd^gGZt=VTF`2HlDH9ygYQ30S#${;uIN0^7sv&@u+w&j~Eh@*HTQZ+FLsksJr3_)f z(Yp%uamy%47GbaI$Uhd6}~9bHw^*Oz@sKWL-6J(1Y+kP<``- znD6D8a=yrMXz{h5z4n7dOe`&XJ8!rPToo|a*73euYglFfl%KAL) zs>8JdOzl?wHCSK+&x*H1;-*|xkOWlwCIJE=NLEyK;H%a_7$(pusH{WK^>KOG4~-jM zC?Sw_RlIkPO}3i=9BC@zO+_ptgkK!@*Ou?9SPNG9;!X#v9bfOI}M^BN6 zf6FZ1M25skp*Ks@t~i*E9h8~-bJ{tmuL9bp*c3s(3e^mS@bT`i#_S`MeTt6p(EHZo zv-h)$B40QcyVUs#vRfCHi_qP+0MB50)6E;s{=4vI`ozpL-dr0jb!B;}Z>O%A+Enr) z@h#T{Fh!DuOCUT{DzM4Nv-!;!iWJ8>e@hx2RyGFnR&ET4(DMTZu%os=bM<+;$u*m6 zNYs1#Xs)%Cc=QWMJGwAHW=b)0@-q`?VA~YCkNRrTnfdts*~vR7P$ckg)O-mQK2$Cg zn3GVN`k!=8o;zycxBGigHJ8O$PG*L%r}F$c)LW1-Em)bs<+{AE(0DL$>rZSHvBFy(c^7?C_ zH+O^6A{2H|mtFDmCb>q1% zD?d2*d-4U;m3kf~S9e;Mk7Z(jw}p4g%V6bZeW9DCxb?@+^=$!FOcNyYOvUn`$I{?# zKzq-Fj8Hbw+3T_Zo|h4qv6AcqMz|9tP`;rDEAXU4Ap;~w7`vU8LNw#Rf04JqaYh+R znTWJ7uh!>_ZU|Wt@IlOnr5w#T%B&5$kPEgyf*Bx-D7LO2j^W$0?Wr#+_v?I%Uv9RB z4@)tc+2uE;_=hgDCP=pb6Oh0g@YUAZzr83J2a`pL3NyQ+Kq4hj1GVjXQI!yghnjZs zDF9QnwIe4N&^N?Cx!+4&f1diAgZ1n;l1yUJ)#?k6J5R<1C0uaHGQN+Mo2OF<6+*Bs z8?TOaqnS5s+b5sSkLsthAXsmY?MxzlLh~`6Dk-wxuLXO6yko?SAhNy2&z~+12|8kD za?;iH^3|~kWadS0!|qNR>AE~^|6}Lt@n?HNBT0Ag^t^0dxm?sHf93_T72ScR{O6mF zayKF6&WS6fuMhJSKiR4P?q&byLs|J~C%Wkq@E8^L%9uY$K%=2!Sef;)^7TQi+#IOr z{e099;$stc2j2w5#q-IDugK@~P=&a>=Q~?}FB}?>;_}kpg7*~0hroQt&n|~zULj7} z{{TG77hWF=(tQ;>Woh+{2lDa9-uPI07;~bwRRa)rh@*6=AC}Jchn^8SLWmy+vJZDB z*P;%&RNR-f(nzcL@Dl##*g%WiHpJP_<@{xDSH1U+Ya>8(AIUIBT#?C)5&M@b_oKLq zw*Gwf?7uW0m#~vjvJ(O`Hj|+T69O?glfgMEe_2Uy+ej9^`&aNt0a11BO9MIdU?u_P z5M(+A`jF%xTeMAp5WPySarKo+x468xBvX*12csqPIDauA(Sad zNejp)A(UW+7M56v*9Qpoo0o%|@=zT&+?J=hJy!cjdhV(}>-O9?KQ@+^?;`Q^RK>yh zxUahAM}2&Z&!7MPAr2lOciSyyKUP6Ve{he_L2dkYQ9}q`P~w~(L>=tMHL;FGQGOc{z~7m?`cB6vZ>QVST`_zPBX-0hQh9VnDC7% zx+XfYMlD2NFwssy$QBAF@*3UA+t@7{Zo5xfA(<<6a+Wz&-d_iurD2*I5O(v^p~gl-jko=cdb{9X#xRPfs4^iIQC`;bOAcY9q>94}maqch{sL)bS#{ z^aGDXpTiCZBq+@q%b!^+VZ98v2dyjF> zm;DRYTAymwtXbCtoNDs%EQu1yQ#l-a&)T*Y#7I#d!}@=XF$h8JWmf;2=u}?@jnjr^ zGrp!0dw7vfi!6WaED3X?$aE>=Uqc!q6VQI3 zHaymBjFi#=`p{>fNh2OxbE1L}Wc8?!2UsQ|HSD_Kd>9Y!y0(|F5};-@vs}C4@Uo1j z<}w&kyLvDnaZrEfFnYGnij9e*vLA5S7M@>lBuSvM?j#rSpFpOPcV>{Nko*3iLt+Y| z45h9m6a-fga%iN0HmEA2E@&8bIy_OvI`;|_72Es*)GQnA(K$=R^PdBSgt`UAGn_ss z*a~fcY*nqgfJf=L2v!+n)d>%X> z?{IR5DdWtg$Wm1*-QFN_8ul!h#QzewfC9QFpX5Vhc|2>fielvakqJL32Lh$M>Hxy! z)SDOu=pH9@@JoPU$E{lRW!V5HNDF|#Ja;D(s?7g>NC5vFnzt2|(D9sN>3Gcay<%^w zS5uhQbp0sUyL%d3@e5ONn({X)#e~Ri^E4VVwm!Y3sM?K%_zuOd58|^tc1XXXNNmT4 zW1p^=i*XUCzH0O#_@W4SS}LqlyNH(&zbsV=XJ>~hYo*C!zKpx)@%$}c&Bsyf z)rir+PcN6!oe>J^#BTZEu?qJviLtQ(CKgu>wi>m~zrN)r@L;?1nJCd05w)>c1P@8o zJLCGQf|+hRy&Dl+$qK}*Cy~BG!ik_+`Z;v*20GKfWujSt1Ifas>zP=JQ8{{2DL9U) zOo_E1DB$EgbHyn|F~f#yi!*3WV`BeZy>1LdD@`0b11dApL>~>9z$KlG1yLTrikRDi zgt?fwTOeUA`9(dU*O?@Z(mgF67){WYUXIR+$;rM%gA31bpi@!ujNK|1+dMuP5IL3X z)(k_KZO3XzzLI0wXF_syD&Jj!(6dX}A}*5^WG9r1BQ{5xSbKcqiO6!`Q}6)37&`d` z6gQ-eGs#`NEtseV8s2Cj~fcJrYx86X0DsF(Wcz zcI0!OG%U^V!{wymG_0k)-{NH|qZRwP_hNsh^aRLNY~JJvl(hf4HZ>T&U0eA}SX#Qb z`q>C_48Z0Is}GPKn+R{V)-gme05MfOPge5(id{eYUDJLaXvsA78Y@wdgkPzTIr4IKSI>)>SGO-2 zZ?w);mhZ+i7_UV1lIV>|ZH#BXcjI0R525#wKA#Md*bH9 zQC51zsv!s*%*f=G4-A;eggUg z{p=RX#x4ArhwP2*<1Gi(Us?AU_MC55FOa)zH5efN7Em7X6;EHntM=_b)!1xaf6H2u zmv-WSPysKHkxY_FDi^QAD-#u$QM!ham_6cggc-3SFAH?@LQJYl~H{5{JP=awHYXJ>Z9B{T+D{WZkc*m9u*wW}V$_BR%!Xm4zYH5S2JCOkZWl*~ZzMPOm|!%~X68>2u+`b{}KOWibkuk`{wK($um8-Q-wi}S3Glan>SZ>4k5r(-M{;1{2(J}0(N z*3p1uev-T&S&3$w@laD!M(M|cixS4}WW=V6_ig^88h>K0eylMz@?)@MDJGb34oMNI zfk#65u8wSFJWP4b{yvsJn^?{7Uut$yUXYfUahMi|2jp>6kyRbLuW5D9%PLI4H-M+0 z3ak4X2OU!A;{@KZ7_;{jQI&vMC3PVPvA!{uI+AR(elKIB(U4I zj>W>P@(BV8>ov97DvY6NJ9wSnnXA?ybloeJaIszn8E*+jY8F<&$_Wh>bs($CWzTHv zRBtY#Q#G^!wj1ypNtEuq^r9qrYYGNLk+6CO7hxD~y=+2V@ z_6g|vJY>KH&F^&jYT-e6+5qn8BzT&ALNP&xRCz;@{0#mLsOBleW93Syd(566aHJGh z{Og#!(L9G-Tp2Oh(l;V}&>$*6G=G^*uy;oib~kTLEmF&S0o~oN-ppkYB9CK4K84uA zTDw-=U9E4~Vz8cNm++Ic?JKG+$XrTM>VeJwk~uyXHqpKRG2~T(!~iylKu;>P|LC1* z#7ZJy53NiOQbt+j2wZ6We`0$aK?`6S{7-?Fu%#2_>`2NOiJqw|uqZ}cu1f=q;!^2s zq?KetED~AI@VOW|XwI0d zC7^(zh!SV36WpBKWEv=QH&JKQ?IZrp0~T8Z$2Q7?NSag?@9=_hA$jo_yYKEHu|H%!gO3!viMiHprazN?Co_`3E2pk!ZoV#yCxS zeBP(Lc=_N3v8)7r5=p`h<1!L_U0fWm9bFGu2_P4ge{>l|Hb6Bei#*4^d*7Cxu@1f? zle}2|EzsDyqI)T4rXWf{#S@C~4V&iq*ZzeQg3XjK! zJqGy2HotS|rSlc{!nqjAk@VN!$^14jsI`aCTw1!kX8DI7`Af6mUcN0?HqdMk=7beQ zu*icArV+o->B4>NwJmHcO`{CbH}j7vGKeTWfL-J@X^3)9rli7Q!wf5Q15E;DVnPz3 zV0f5tj<*RW&$K#VMxTPMevxh4Z0>qoK(k1rJTz8B)0E-IYGY654wjdK3?ou??cVZk z1L*lyX#=Qd!cp{=x*mILtrmtOvcO16AXn*4B{#579Lo!GKK;R|nyjrMqHpU@-zu4r zXNS=`>s;G_1x4NWrIK{#7PI3oxvmy!9)?3lw1MRdV-X~zC}FNMs_$M>&k6&%S}D#z zfF6XT>Tsyf@lBn6Dl^BN1^h*f`wknSlQ6uL4QtUR<=6S z0RaFlrvc@1JvC)oVls?-Y`0X`R2JxJpn4Cje3u&_>ZKXwW*mw}Rz#p$YgP^`m1G&f zdagsRBdM8o!UcJ(7B8Z{1VOeRSJ#h}S7cS+voCqv*yllK9bhz|kuMg05hI}!6UkoU zNlBjugp<%sQBWpHg3r^kSOC4A={?x>{Q(3i0Qy3a(P?fVkCd*vcHh+j^hyYfyEpg4 zRHL0qnSe1(ai8s4*VL))7w{3^f_j0cKQX<(kduG8foSj*?;#0Y*;YPZ)Lp-J&Cn^o z6!+R9LHXx7E5MPV3C?>t!*6cO^$c-=Lx{foT(edqi_bVxn~k!J$q5T|nvs3$qC-(- z{ea3%AsGJ`SOCnFEVN36zy`x8XYOF>W<|uz`7cEBzp>_!wz4BGC!GIF?X2lXVX{7JXI3HD#l@-YbS%2&97_l)9)_CbfRgURb zp)lWGRxA(f87nT7T$5HZzGP_OoknQwo#@ER*!bx|GEZ;PLrDTZvBwfI79p_-+&f99=8r{x zDHytV5(lmek68a<_H%FVp?d_HTf6h2YKT&kI2{s>yZOYPH4wY^z>OLG{|FuDU`S%I4Ym5Y)HNYH*=tr?yjDU zgV?RFQ7t`q5KmD)IhQ^eRg5^erAWVEvFzwBaDnKkcp3%_tmzsb8iqb@p1fO%q?RdE z`zHXb-;)j13#yRbtT3*MHptpqmWde*eQ>Z0hFW;EDEHrpSRX93kfV`B$sPh*fz|7Otymmv)y8+_9Ug{!gBV&b{b`g7w^|%W;C*ZvBuN}KmZ`; zPI6O1D(AGUV0k48uYVL9$by3l~N^8G*JErN< zJ@df6{rtLl@`H2oQSUTz0zbVowAjrTZykNIx@r3l;2X)CJ9Vt&zHKh^*W7gU`lF1y z3gPFDItKRYjixN9jy%;-TP6l+zhUG%0@PyD8E z?PD#GsYA;WB~N#0Rv1D9}WA;GKu5m`i{ZaiP!l*;`}m5-4r+ z8(>|~@U(al-&@nYy1W22!vAP{j_O_vTsom^Lx^eoy_J7vde!_DWem^^-EyUzMr`Qc zm7}Cx+3zGXY)L4yW)r8dG48L!1P4HDh(0=~hQcZ?KCT@(^B|Jq?zrmh?eXt7|68NIpzi`(+KLCC zm*YwFuc^a|uBpdl!EL}V_cwYINb;A3rx-&SKeZ}TO>I7{0-ZY4tZ2UnC@&*X``-fCRXF_xHU8Xh%hU;&B_sB-ID^O5hqV zu1poED#hdvFl)Ng`z&l9&aLG#DZsn}40hRb7sVP2Z-3bak15y2Wm$*siP0Xx3;K^` z)RZSlO%$ccHWeV+%6&{tbk+Uxssi>Lxy!GcFk2~n7mq&IzH9*({3x{+{NHnkYe66- zml3m7Ap5d|mhvJAY?HU08(WgqzD!pD`thg}7)2CFRQ=D*db0oSlEoPVm6!N=m?- zMN_R;viA!!Ua;v0(ZBPSnAZx*=UapV+QeiL4VBWSR7e*ItvKssS%M%Ps3;)%bWUCv zIljT?&1nPvlOdArb}&Hxvxol+RMW9{+~7d^&NU=<1E=9cCXMpePXp3!#=y<=r(!V@ z(gACt+t7R3KO>j!5bXIQMV(YdmU?LMft0})Inr?wH^R%(-k{=kv=wOZMWV0iW_AbJ zH2-_Pz}NTJ?ZZ*uo$id9-r-tvxgG<$9kQ8e)oN-moC$Rr?2(N59EJ458sKDNr(<(3 zaAT7e#!0h=ZK7^5;y8h< zHgmUql${StpQT7V_jL?j9y|6ce+YNmf1dv9+DapeaAJq?o)gB(*ALQgmvE>Ke`zm? z%jCW)f@eMbbK_jO!AkkM55R}bizJ3^7aHdyLvB|v$Re!^=d(+JzAi@s4s;5Y95$zu zaz)K=X3}_!508SFr>mZAyINM&LuyHCfez*!#B{rt?hkv>&7`)La9sR5C$i?wTGmQAH`7&3fQUx6V`E2kdiI>W2b^~5>HNXq;RIjoH)a9N&a$$k}2J%r@+Ld z*{�NiMtWN+Ij6QI{4{uHdzf)C}5NH}!7ZV~#j75ct+BZKyKG!1z86-K?$vH)Rp$ zgORMYL{b10Z*w)}j?dvzeSe;4OF~b4l$MV#y^Mg&pd%o&44@zHQa31Ck0v;LFI-aV zYirWGt+aN)A&gZ-{gs2ZceTVkyT!bY^7ZfwlSTey#Zjo#7=i!a{al7z2FSjshZki>#6diA91gvF{^!J(}k z{o|lzHE?Ub5dhyIN0e}4@~WX(7X&Rls46!ggeA}(WAv)cu>f_amN#6;oM#>e zkxk}hbFfIQ){xX92R}zxv+_sAIGUb%fVgBsbGOrE1~8{jaD@IwVeuVfg2H3^4@XbCoj;aTesxk7}l0LY|R^Kj`@P!u-($E^9f#OdEu^3>Xv z{rPmy1189HVmGNr7jXq&1ERuv`;AOe=6FJ3>PKy%3p}{N(1Wc^L8_;038c2oY_;i6f$@@3fTUnh+#Wc z10)~EAh}R8!=zW_sg+WncBupp8kX+Fn9kHFYcw<5^|t;qwT8G*s2bUCI>SzETx_%BVQ8<^HAQ#jJL%p6>ue z4Q5^OOK7QAok{&-;U?*NNki8-4^u5yiIqxjga1pD#r+h)j2uDRA~v1FN9SqeK=CxW zY5RS=#0;!m`Auw^i#yn>=nyouz&!ZsO(^qrU;353~5 z>-@)lC&xkKrs*$Zg6d{i#@P2>x0Lm@opR>yI;RuWg0Au^;{}o2JvkPxXvZM7j%_e% zS&W%qd*RP6UT=4o1B@$}mVmfzfB%rGYw<+c~Cl2b2*lJTp!ltH-k|hHSpps)8WvbK|Ym|f> zwnF1~gkE;^PLGkP%>JHsB?b6}?8>xw*D`YXcRW!&;c)b{kH4Ow-&njlo0-7!TSWvm zn*01IEJPb_7N)txl1f3dSEVl}A3k#T8A^;C)s}2I{2%tmm5E>guryOG+kZ6_i-Vnr ziOA8!28NIC|8E(&IsaGKztXvK%;v!Q$?XAoLT$l-%)%61uv%}RKQB^K_0c6YpA+NS z!KY^A+)Yx`|9Rmb4g-=*Iv^UOxf;M9UX2ILR1ym2|HFf7#=Sh=M@1B$j?NDm!gNjL zzKr+?D!e=coau*zYwWYe-D-?vkU8*&nyE;_isdZFGunFu=jcoT<&x4(Iwx|Qp2n#W z8r>=SYf*1~e78eezcFjHDb_jnSrk>~jB=zkgs$Ipc6YNUBgUGx~zTB$I*s2~TD zAI@sKT0;YM`mB>HVY>75ysUSJ{M)qnHn0*)=pOHh5|vIaRvE7)`tNhS8dI5;xkvSC zFhVZXsUygKclC7wL^4uG7i45q0$e@x8<50%(=i~N**)vyw6ZPfDcrh3s$?l}_g=NJBtO_}sIO(kx1BkW0(OGf%TUZT0wQ%|YHyJHPwc;N`HQCJpqXr4j zOWKIJYF*;u`~a9pC*69Sc2DBLM2&41+?e(6d6y$keEpO@@{ARc1UR)~Q%eJ~QWr^V z?Q6Q+P{`0oYxeD;ow_U{M!dps11DX^%?MlCboevB-$jr-T(GPjdC{hj+=KLfpA!&0 zDDYG<7u3f9kej}HvT1Z&ixX<_|#0;VZX1pI@X#)>E6(JU2-!~a(Cl(2kSzj!630e zC&WHE2z62jcy zK@*jthhF+rp6D4w4|tYLdtyyW_@%o}=L;!S*xWAqVKKE*@&cl1LY=?+Tv!#G)szmG zeUL0{k72WIoI{W-m6r!CjD{ZeLWUkoL1FSC(AJ(a0~D)|lUW5YXR+0CT@g(m*D zG~L-2+sDQpRhD_2U@`_|8XldB)h-36{!V9)$8K-67haGc0Wuai$(CW}%8t;LpOK`go8^@C`D(+E^NGI4Os$G{_{2YXbI5a&>$Ev2}% zz4((``xI9{G+eTS9$`Lld z`du_tbV2rLD@GrDTjHzkDjcE#Zr$lOWsNv=9btO`p@59F4dn^J?piX^qy$04K# zW*k!LTQ&YFGx%x~Huld4<@1CkfBnPvgfik~+KiVGbXRK*Gws2%j-kV5?x%9Ee5uX{ZRflr#=ZymcA&^f!EZJT zU_%V5Ii}}Dz-YB|XFkz8P(q2L&z zlBnsg(IS&9elA{p6>Fq0#$*p5VetXQs1swc9CsuZWB>)27`b!L!P%7G?BGX3*x_6_ zQLH--ndj8s=)z)YIR{eIlUt?rP_i%=mgrv>rZ*o4MA^6|Os_4X3)ygwmZS#h_B z%8{l6z_iOPbOL53JViD6oo~VoQpZX#!|aANf#aleT8re$;^0c9(|Z6}awN=W3}Ru^ z$Qe_SR)yR=>ZKF&MzD?4O*C2k^xQ0MQt(a_vfQHnD2h<(uCv8vqo~iK5Igr6|$lVX)rt2klh5Dli-bg6rmb74y9V#r#US-`(aq?Zt( zfAp#pXbc--{+2UzK|2E$X}>80f^OX!Ar=RlgUSQlXo@L^ONRQjT(sCUQL8;s$Y%4; z=}@;4U#KH63-J&4b$qeB`=F&+ zDnw^a9r*#n{oZWZawu7eo`@Q;CeAZ$r$QDE5IkB9I4DO z9W}zddcOm7b&*7zY((e$fMrN|#8cs!aYQNCSj6r$)VE#(qirePXzfQ+ILyj={HD{Y zgPf7Y@sfe$TBvAYx?_j)^GbbwK$O$mI{vHin4E0?M~&zF9~K}rpiAq*aZv*4Uybiq z>3Jn;xfA#Vky#>vB0?sP&{2nu!rP&+yd~AyfIc(a$;feb`GrS~w1^n_%hJ;FJRG*yYJTA znWSz57ARa&Y8SqDJDUNLxmH6;ef2cYN!XJ9XVv;GxRsu(4 z(-7seK_WrBNX!T(P7*MdOEHllVY2-Qf9}yT_wf!tsTw{A+Iuo)D)Zc8BNx0$a}t-F zq^2%NG6$I{fFlxYjB7>^)DX$Dg)6i$!q2sYQ&7~v@;Z2RnEBGrENB@=<*V#c>Qls7 z2ufaSp}yPHLS7*UjPH_$sQTiPpodBZ=2tBGEeZX2VGU<%-8l^n?~G2~uNU@KLX3EV z#0*MUAMM|C8}tM}b*EUyvU!e>-frnb3J(HJ@42K`j?kDf>0y zOAiwf0SMcMYW6?HUs+I`Y1}}u2tZ(BspduFhO%Oqhq|Cen*lixoZ^bjCALmE!i)QM z-hZ=)SS~Z8o$Hi{cp#+n7!xe?*^`Y;nQK@sZ&>i{ATp3LZdm-?9U@p0fzq*nP=y*d z>V>nY-15V&MsVivUhF)(Z9J!$?^8i%)Y<7G1>{WL3yqik>ARiSX3^%B_$T($YAl3~ z0J8pDu}>y`R_SQ*F-o^jnF~zCj`tAZ_?v~MUBfjXE$>=B@Vi#Za6>t3?4@eNkd!;e zyHba1VYxi4BB1X+`~XN+^`wwhh`WnDD9o&=Aj}W_qTNj?hL_Jc%=A*BYXL9S#Qlz| z%rY0MGHlW(7mR@-&G=OI+XN}tZiu};z-6%B_PJvY4V9*-$L?u_g5JE7G`nib(P>n9 zIuUFQH^ubzdH`dv?aDTO7; z6A_6d5Zz@0Hc{GIn{unUdbqj&pq`6TiG?-~rv~>0PX)c!i8RACR(cB;i8a(LF|0uL zr`~Z5%YxOBI=XS ztP4hQ7c0z7+-}NCS&vUlVqzhW0h@*<-TQ8q9c-dwa!XTXgd7jB-5KK{0i?Lky`;Vo z12_N0Ll@l^`}{@x6eyY1I972&oJ2Fu!P^{lL@J(6`XT0~Ap#aGePE11>ebN!Z?Q>hwvXEbAE=gWHp(MU87#RNO(N{|j= zw0^eRZ&LjhXf>^;trBo8g>^sNId$U+`oKU>ByV=JzbO)*Be;lQfvEXufL8J7x-t zTgxA9(I{t&lw$Q@nGmWv(QdP`!aKt=lj0Wko6}pI73{g3;GzIIobZDE&V4E|FhRip#8JgBVC2oR5OQHV(|(rR>Pw?A;ir> zIKc%|NV0%3{7Zwi4*q`WUL$i6VQ`5O&V=zxys|le${hG8=r^V99=B%N#C2gRsrG~v2S3ET~8w-eC1A-n3rW6cJYg| zC!G70!cfDi6pw0qb7+!{+!p`~X(MreAjR>_3iSSoh}h2X?4-C^PA1U<$CX;C-BiZD zN@AbXBokT=_G|BG`G??+oRHgH9m1XB&;eI*rxp+me@#lpj<==~J!T-FUHGIC-2B++ zcoS9IN+S9iJ*BdaK8V4oF4NjUQBn|OFWl08oRjvD*ri&>KzJRg|VhWUS-X{XI&Oi2F@XUlyNp4mD z@)4esNt)0v!7I~wsRuElZPP385VMP?!`jj;7bHWH76E5N5^U-Ov+AGY1h+0B3MOi2 zL;rlq!Kks z4u)4*=pI>6=;i1yp$1kh{)0p0@!i}Sg2do6p)EH^ZxavThBxHa=D3e>4yGMbL`-L5bJksvtjeYy^}!>F#1Ss*!~4QqBH)cFX+_MIz?zb zx2Y!!szUUuL8j$s+WrHOPJF31dJna6q$(tMVB7!%Xew?ISDTaU^w9$R z(Qj-Dz2(>vWJY#PIg@jQM+`po(+BvkQD z1n12J;z)?W;kVST)~Nin>pbwDYXtkJe(zFp%;31eF{b^O0Q1+vmaAdTobWRG237_@ z-gHUxX-CnYbfRk%R!qI&(jj6~qGHqAU`(D=6mvCJUwDxr>_}0YlxsEA6W=8Khj~ea z#z!!y{j?{l^|HdM+Jpz*z0%Qj+#E*tU#TU!7aQ6_J{jH{M2?cMj{$QE z92U{(odW$UE8WyqBZ;JL^vYW27*H=qsO-& zjFuPjvKL=tD87P3MV!B%3^2WN0D42_8hU=YmeTBjb%MAuF9=lo{9=!WomfdKDc^rM z>|=~5B`Ah@A;iBh)8f~54bKm{_B|7xYm>S1WDYlwyQ=w;FFDU6|5!cDa|x4#wcQ0W z3A~C5LgDocR<@^OnrE0f=U|-sGpQ#fhSX;*WM3P?vA?r3EO6yfLLw{E0Pur&xWHul zSys_cr9+@h`FjT_dN@#8pihQPwP1u=NADD!vnrLRkyOpYKuSl#objPX_5 z!6+uu^5kgU7{n1x|7_hB1Gb##VhBrf52LFzT~;l|xEDrkI%FKYxOgGly%5E=(%V{@ zjNV>M>@glp-s&n)AO3W=L?5d1)n*q({H0iuAL>3|RL%T$gZ z=Gpa-OsAp_^zf3o7N0kb3sH#3$G5+R%qL`?`651T08sh z`issMsj<30X8t8_e7f`;$laA7&qmpdlZCD22W*6RwKkpvY0sl1Z|TF5bl@gEDo)i+ z-%nIa`JBRn@pDlo05tH=ls`+0<=&vrJW$r9Z0BG%omxwf9xA{nN+C$igzqJd3tOMZ zHnXdG{*8{vIF2XJ;gg^#^UT|~U2IYK+O@&+|4h5vgA?JC?-j;?#5{=+%YXD=V=?TU z^wrOh$gT~b0ntcLG{31&4xH|`?@D~haTDukRmKE`ESjZoK!ZO=fmlD3G9LdQ9A`7c z+J$$2Ukm=~U-&|N(j3UxBn1800pLj~&jvsFUK*#E?tQ{jMY~8iS7j@1iJ8q;_ZsYM zDICf3!kd?@D>`w0zEsKH>c`1`O@B{t^9H-HNh3gZ{&X7m!5NE$4a=@Wye<1OZg9L6 z&|Qyva*y%{0r+EtJ<=hcb`=AGA$MTWfD>%ie>&s)Ak~EO3^H!Assg~DPfl*{2;QFs zX)AVwgg2k%K0kw*Le3XT2fXFG$->VDbao(Z>zs&uy)Ewhk z!4;yE>?5txStbq_2HxbD=@!gQ5bPIxEK-=fAGRKckuGI!dO;2Ep+bXv)RfSeBkIYK zUS-v*Q@z^@jeLGLUo?!~G|WKg|4#pV$IQo|aTGQ@7%yA7PQ$6%#ZCp$VGJCw;gJcx^?YO{LJXA#R3kF*Ba>A5bWZxXJ|jK=(Bp*2Kwv?(RUn2`*NcWs|EX;d zGpc2bcC?CdW^B7y@LV=BMhqf$q2nX=;-ZWpipSmgc%G}!fs(-?h(RG#^D47tm}FoA z0DAu| z8lQmHjQpUpdHZuxe-^nKF@b7(BI+f6$VQ3< z+&gJIs1#B`Kms2E3X>O@id9O!Vj)5#@j8lN?#G z*h7Tl42bHBJ+xqCtRyKWW^O`A07q!+X=ZFmz4c^Y6StTpf)+)yu%E zBHm+xxTE{XsGHHv zfnhQ%H*I&2q{g&y9va+YzS-NcM2xG|!NSCy>noih3HXfWtxo3tjr$oj&5e_@qKTc< zk(uY+7$zUiU1j2Wd@n2vQxX(PTcR_=n;D-CoZ1aR81&AtBiAD-EfE746^n`a|4^ja zIsVtE+@&S!xXFRkeWF=bYBNViDj?251yf`ng#oYB1mR-ko$$+C_pgSIl+HgB(oKS> zjkvY}Z>@m_S{iHi2q&ZYn0XSppx}hXjHcy`LFX|W^B`48Qe$)ojJ(S@3b|{4tK4++ znBiGR%yDJUj6eRFL1)QZ2oW}%fFb^oHy_Y3&qA+hn_KVJN`u=&Q==)T z`0QLy8$E2mfjMc|t0qxaa0jj_C6tk?Ri>4V856*IFv01Xic0Mc zkbB7KiZ6X!)E7Z2(2{$(vXNJhLqy-sBxl9xM~k2IG^kysvFBWIYLWU_c;44RwYPZ2 z(P>&KDdP-p$2z9MUN0!4-%*Z4_7Xvvop*ND(s7+$C|uj$w;(syaZ{hO8^HY+{kldb@T(!@OjFav+(zlD!9f%Z)epNgBc3941>AA--634mc!?i zu2L^exwv&s^oNIn0*OZBEghrgD^8<1y^l%UF$LE-22k_vz zk3eZ6u=$Au`$2ntU3uwW6J5X%+kGAO@oY4|dG{WF@`%EcKry_gpa}_1072rA+gc>Knc@@ z2NeX=U9eBc&&pXI0F>Kc$#tr_2Y#4>#~%?c{KDaK^kZ8p?>+R- z*ST25`i=IzTf%jO6rRwM28<61TQI=ghlIn*gloNfJ6^$X3E6DXKIvf8| zL>yV;?EjWI66M5lU1ZV#4!PyJA(7=UTQJ{L;PSD7yH+DPO;5Nq>QDsrDb9|}zL9;0 z4ig#-Ru3ME{B(J`5D?J7*!u4#!p!vl*hDxuIse0UN%|8B4&XrhkA|NjTzq|If}~y$ zx+YK45CZA{a?u@In`7)y+pHKzcAipTI%tk*mYCi`ccw59!vtiWS0v~+KKut z0#ZCN(*1^wZ|f7;h~b$r&r* zx)Hcrqa+fqfMT1a6=|5Z4mX-y6Tm<*cB9R`==3k055JFL`0DgQVE87xJ;l0-dR<*pGtaV6Wtyx&n^UqAAC-rYYl+c3(oETeyW9ZKZV& zz}qzEcb8d$SqRHFO0?@G`d$jmb%oY>N>E7zNr915`YXDodZE>@JyuUuB>Z^G?lO*{ zQPYSCz+NwIaFWiXQGEbA$b-Xd-EbXoGo7jnsX~4WM&x_*d1`FroNMNKr;p= zlms0Dgu2~Fh#r;?*6;X1@l*}vM1SK_GZe2mnb`@fiD8^6kTvCdwqDyn@=ABVNQ8p` zE&SIhLtDPkm`Dh{susj4ZFosnMsa{KW+R*v(2YMc;GX?&2LV7Nd<;ss!GgNozkxK@9jH4{w`UsCV5M%OJ{zYuF<;V2Or*6fnf|6&LW}@|H;m&lPW| zUD?hk{%^~>;QALTLpvq6qnzY`K2(!0%eVPcJ5Omy!x}ts40fh3{oeDuU6P}2%hxg@ z;C>5AVfreMb6|r%T>`i7K91y7f1`b8k<`OEC-iN#m97H#i;Ws5F+u#ayREsFjUty{ z1=);|24C|KIc*N1cJEbM_EtX+iQ<>d1nGOQqdfNQF4-Anr0y2RxDcFM@uBPiq{Wl( zye6MU*~(?+sDM0q!v^|cSa6#idc;_~BY%VwVQo5fpW(I{?4>t0J! zV5tkr%fNA}Z7N}~^}(Q4Wx6LZ$Dz@yjcC{3Gy^?}&6|qX#(2;BDFSS9&tGs=qw}De zCc*o>EAMrGEH@6d&08r*W1t?p7y!?YhsT(m0;;={rIJZ6W!w^PfER*}n(#DofT;Fs zMj9e$2NJqLghb5BX&Sue+~ITvjEVc6Pw}U9@MkjL%)gJ*t7_=Zi?@kVX~g>l5K#}L zYlJky?hQ3qlM5dr{x+_FZrFocf$2;Rkz~ITLQY>Smkb=9TaZjAN*Jsws*y{Y4_h@(=BzIj; zP#DfZtAuPMW#65iv5)0ksUZ5}w%WZV_Ut;@=34ZGm$Lxa7tn$SZDGAQ3D2xjO3ENe}|1(`q?`I$xDeAi+ZlLREMHN61as#EaDne!IqA#pWc zHM43Q`y1XNab=tF7UuanfHFsaNBV326z$l(C|s0nPJZ12^5cvmSg4{+rQMn0Y2bO# zQ5E_?oNQfLa&QG3#Dtt2c={HpAl$<+g&=IzVh4YZf>Ba!9n6K-lc%+5@j~&`^vb-M zDk~Nvy2l@xpqU<3(%0zWCv=z@YRePD7Mhw0$C`Ul)n?!+iNe-h0GNoXKSiOWFN!x@ zce!YPBiLLGGN*V_<=OAZ%gf7Zik!?IdklHC+ObU`ivt`LuGmlg9e$*))98fe)q5rT zCvVZGU26{rbioKQ> ze2whV%M_u6Nt0w<0M2UUZ?W7Q(caxvkssOt+5=7|acs*CER%B-1q7$^kud7>aKRgs zD*DAqV%D5RgO5HgTTFtJEL;^0xFh0+1D7da4vA z9J~{<{xMX+NhjgzIFANaoMHEPl%aQH5_4t@HnZPW4V`+WoMVn$I$vQtvs zoQ|9n4)%;HEW?XMLpLq29C(vn* zo5rc3x9X>zPDfwEafl5tYg(c^Hl|sHWH|KnZAw^iE1DUwZ6-;ux3VX}N*gI9qMyit zs%#w+Hb1o(t!#MsT|X#;t^Y@>nLf~Mykyz75uUKXis@`Tmp*lE?cuKFtbgNABQ*DW zyP8s%Q2l8pw)(OhuIE?j%2t>jhR?VVIM$9NWPXNRsYMSnmo{-U zPSUehi0RN=L;i6cK^#Qhx=leU{yg_`)c!X?L zXuR54-4Y@hCFh-d6|sd8V|e>oI~s0!*dQk0F#%@w2x&`o*olKtHxS-cy!YA0)&zn6 zGJv5}z2z{>?ET|KikirVj)*D-J=C~Af9~5Jg0N)7J8Rq)&E>ep6~c;~BuRsCI81~^ zI~NZJw(#%)Q4;J@QFtrh3-=$Y!en}^B0o8@2W3{TX4G?%ZK2~qc*OirE8rDwMjn#N zABOzV_E8~m7-1Q%DkDk?7M>6e8Ako>)Yt9`zesuYocT6`f_J-t>45Kv>;W=kmYBtq z)SEY_d46#O`Va%AobbmDCWo_eB2++&;X7Ns{G_8&i?9qn zXz`W&{W}=~R_SSy?8NygGaMljFptGzMT-0YcCO6%k}YVEF?=oPG+3%KbWxCd^bWVr z6H(g?2-s^x$7a9a%E13tw_sii+?mG2C6l2C4h9)?fHMLM^RAK!=zU<}R@GN|D{~J3 zh%EvRJF$!Yo^UK%dSeM+n`X?JY@#75E3jMuh`mM-f^B)Eb(i5w*UbJqO;*K&l5&XGGTIfLa13oOd8o zfUxD|55G7cJf+8hefmEL0~H8^?E9yK7)5jty`1VejvMP(%HUJm8P%2zkmFL)vvUM} zu<3CebDG4m%`#+=!WK|xY3^sw5M1EL(zPjgQ(aX7JBzPX zq--6q9&zJ!;52V&PT2QckB^rRbAPNlMJx!}n4LpPhsLy+$=`*j_(+*;V&nf3YDw}o zDC(-@Xh;>Uj(9){7vAa>K8r4B*=gzN0^W7DbuB8JHIbl5+fpwDJB!0>w8-ry!& z|1X?)sL)CWN+G>MTsx*BTst2oOZP*r(!G;Os_@~P7IEe}u5hbt4kI6K7wU3|#i%OBP!nuT0G^$<`GpoF?)i}ehVT>?M9q{~1- zIDkU1&^keO1Ftxi{iz!LM|6^)=ffL5f{BhUgy0$ofG}a(u3me)AM%m) zG;y>+SeW3czuMknE~Q!}X^H6hu@n2M>UQIIs_i`Tt6-93H2JuMP^#NT2;^h^gH6<1 zNzvxVkkPjaNmuW?2c6h$`H$`jwEeDAQng*yZ#9I9#ur4`%a!Cu)66ymfoUJEfz4V9 zVlEsmWhq&s)!K+z(^L-5_-D z?-|y}mkP5i!@z#B5k=IX(NS%ftxEgz8Q&V;4gLW^pOu#<`u@xVH_X1}w{cmTT?6Rn zDIs2iJj(x^@IhFa5|Ge9ei8kTeuY`w6ha^qQt&nJ5W#Hl97fAb5GE?~?eBdtKDLi^ zD4~$y<5tB%Bn1OERvsRaT?n)%f}A!r{q!*?Ws;C^A+^6K;>NlDe}iwJgwP$H-W$qC z^^RRPb6r|t;tP8n%QC|_Fe96&*MSS0X2jP6xTJRe`eikXyp!2)!fPbCXYj;jR&uYn z2ua5m1At>oG{Nd9J}X)8uepwve>32k(*av$IWe;xDkISl3nr5ZUlEA8I5wzkL5kMO z=l{>sq$%A3qqn|d0nh(VTL%TfY~2q6wzo}#WdcEOwYUX#MM)#!{wdyqg5c1lDXD{? zwGuLcfWV~H@Bg%NaD(9BrC}3*qPLo_4d*D)`z`kycUCl z-D$o!#7mI}y?`Ees4!dVxDT{8U(Vvy_YqZ3c!fWsdpnhXk2-jZyh ziK)ppv8nqt|csz%{h+|V=rN)-V=Wp@#>{1^26CZKq6day0?C{~RfJ-r((aG?6c5wu9>^6#b`8+aaHo`k#RjbJy@vY02 z+Q)v~B9hn*2EDrU@anr1_Aq-+K5u$$GFrs*2>3l3eLmiH=seFrvg1Wa+^=@Dd$%IT z?RYroQ+R__K6wG6M6^QINiUSk0|(4+YMYYIZ5pV9;!u*?(;YOK$Tl8tf zd!$8>+jwXa$Z&Z+Cd^z$fhS-L4FB2JPyg_f7=xF6c?=Hy#AJ(4*N{gUM$(RA@cx4* zoR>!za2hxG`FdAmz+(R@&Wo`f4p~cmQO4PniQHmTWdmwlE!~nbv$%`<#-CN~+cy674^t#;^?gD)G;M136p?@|PzGi4X zU3*=aEkv1d@(2xV*Uw~Cr!1AAi$$-HbgUuiMEx!Bu~A{`9nqeCJFLi?ddpk7rliGM zQTVjs&3J5G0WHuw2NeU|CSg{oo*~J)&y64X{v!v7f4AM=Aok-cqMu!UUE05AGR9xW z`WltglUNTp7r}fRm-L-yLb_;YLVA!J5R6~_EbPj8&w_F<3I+@!$1#=xx=s%gTO6g3F_NZ z`EfRvxo;^#0POIO0ta$!G=?^HG|Y2kzX)~FSc!bdm(a_W>O%B=<43rG=+J{I=xFgwzy9)zA4@G@eg z2;taC-eX^l>&cy{+F{)vdvm!@RhbETUEKq`&&O4cSq{BW@ThRo$7olj`7#cdx?>>C zNM}ze$6oj$J4!qHJaj-l6^SfQaN_iPglYa;jfvz1WhjzB7oR*HHnG`P0HvD4*+#oP~= zOM_=iTf_+>Qad;@*WiBsTJE-mDIT*|9Yuk=4NkXmBQaHM{ znD=xi!JxeMQ!aRLxld7~5e#4A;*-sGsrG8yFByY*`v{$ptR>sGx*NcH;%mRo^E9*} zVx~CV@HNK7?fTK9o&Igzw=K(Ap0DpWe7zTblU@DlvNTB^1QCMp_xZK^_q)s-K;d*h81$uM2guQNyx5?hEEZ!xD<8k z#lKcKoAQ6`qrMpy-~A-&HJj;? z|AcoX5@k%&={f7xVoXm)@mO-b?LlD`LIdDArc-Xco($n5G;tEkj5D~}sC*aKJj!rL zgYwl&27nu;q-X#hZVqyN3?-2&9F_zI=7My?SPIGvtftbT)Q;gb+Fc}+^of5kt67eo zNUf>0{Bo4k724gm)h7bAn@xgL>7e!1=(&zcsb|dPum{l0dDgt$Y!&Vr;vtI7#b3+KDMgR9Q9#>+8XgdIOJ3|662SzJO-+KF&LOg zUh011nMk(c-A*(X5IuGhhj>aYNfZ_rvi;HA%fg}^0y59sgPp`@)6>6HtNIxX@7iST z?`7`g9Q6PSNs@S)`#Zc;ILb1dtK!57kTB*M=qgO14JHYCt+^r#T&rS^-~x#xksjrc zfAeCjQ+Rdi)DaQ~k|b8s4oeZ&tgSI+v`g@o?K>_7GjrF|gj;Fv4epupt^06SXrZuj z1E~NtH04JOnTp8tZn?U5v{Mz}`wS%Hirh-0sTZ691jF&2y`@W^Jg_N+u`{nHVP!9H zeieOXv3YpS%jAp#r-rqJM%P2MT&gP1V=eS#LlDa70xI+f*oAP|#bUhL5iVYw` zji5&NpSSurV z%Ib@>YS3-O21uQFnZ<>!5zmDoMa^`r84v@&E_kx;PK@sh9#_fh~G z4d?WG#T;~hQ;*wpmU3C1b;{e*TOLfZIaK*PL9s0)4`2A(6cL1JpA1(Mi%q>1d@k<6 zOO=^ZcS=q$d3_j43!+Jik5ML^tuO$veBDw%Y_Z2oQpUAtbAfxGc$N#8_}IP2JK%r< z+utbB0&&I0X&(}owG|8>qwap#OKIk<0qoNgcBrSDJZL}h@`hOzPki(Y1(sBWw}hBv znaA|?Mp&<&jJXx+OU@aMeWprT5-#l9)r5;I3bI+zX<~62d4*I^+&rYfLm5DdVTQoi zlCu!ri@#O(QG*9!SYl&_)KY*cu2S*=6(vLi=8D6P2Zr=p-(b~;GR5i3L9DqbEY zW61K)*TxzpLYdK94(mHQ8 zk#(Te&XNqT@5C$F7^j(qAN z+n764^!5842TQJzE#rFSOE<|0E+mac{c@hPGXI)YI$Nvby6wRANUA7gy zy^c6e9uEp-6Y`)StP&7TrUj#`abRzsLFOd*rxH%>M$)~d^W8(yVG%uQ#rZZ*qmSw4 z)U)?E@KBgdN5yJ&oNrqLT^F(k>u68FrWF4~&h9bYRcZLrlJ8qM<;fObWNEU8Q6_@v z&6&JixqXzJbX(i(#ACnRts#2(5<9L-r00CJ)dYR0XZoUU!x@09`HO{)qpq>TCu(Av zBjqf*hrmc%o;JXjN3!QKm?R?e8h~a79LaToPHdp$O<@AU?M~i9=L#N|O(JPY{9C=( zj5|}4IvEvvYG$NPr+Hn5R3}94y(e47g+JupqDQPb)ShA$?NJ`4ogKTSty|q=BbMV? zC#`$Yp$`SZR|_DFZShj#g&w?B=CM*MJ~3v@XK=(x_qCdnfBe!nKnU=-GuYd@$jkLNT#M0&nM!_sor>pq2s+?-I4UQp6lp3j_}tKmIe|w`)|S{4YW3Jq7%n|b zpeX9$p$VAfJh$V<-pqzht#B5`>5CC3w*F zpeqbL?`8bLm>z} z%E${Z){JOg3Ev*{z7_I8`+k1zYL-By8}ZQU-MZsS;PZPqd$%{Z5-q7k(IQG15*5%h zPYBUAbpuebc&Cq=cBq;@N6z#FuJjx|Pxqj23weBRL|l)M^vwEj=K<&DxN0R6iqBuc z75H#sOE;z-)@Jz)UFUyxWYiLCRPA&bz90Hf>G{xO*hIUCC=hpK5mRkcvXq< zl^WA!K^g4dfAu9mr+YiTPqNa)K(%=DPz7Q!-Ce$Nv#;@Ja24`a+SG3!u=kr?hiftRuRy>E>U8T)}cAQe86+H>U9^5@X_8a zs}hkzq95bx-I>vSw(P}7jTq;4q)Vlr9i3D@FXvD%Ls7@IejXf1b)CvR4U%bJm~aN- z9kcp&I|DgG=NA_v5(4~wAC`5E4$X&U4FGnrWkLf}YaxS!!A-Vv9xDp<6Wp%6 z)MNXA9qVr$lu_r@A=q0`8p6z9YQ%15+cHb18G-y!}%b!3<0h50EMyD87}gUjUd7Q~F3 zq~w;fX$sH2$}i5zj!d7Gut1eJsXZ?iK42e#+NAB*2TZrq>u=zR+~BkSM$=YYeqv$6 z`yi^^Y55~y=&g(dpcU$Ani@aFD;H2X%QTb>Fw9oeTToH+w5htERvQhlGNClG9x$|4 zstm9a%>UlD|05g+pN2yNj@J6C2h0*W?X(aay|sA+%+xq7>;0$5Km*?8nU;wGf!6v} z2%f8vCPoN>-dg_-eu@Lk)tZF?Q3eId#>CtzP6$y01{%7Yw7gm6Njz(Jy9} z{}bI~VM&_F{!wfAVfC#4!uS#K-Pt$A)QWUR!GfDiv0NJew7@eL`K@L+0RAVZ!XG=@Xb|^H(X6d=ZwI>X4Fs9 zRu`;A9qxd=OBd80i^>oj3@g><feBBZXh1d*wU9 zvAUr?NwNAydom=VBghV_OY9@ig#pYE1@W~(aFMTo@2BQ}86sW@uA>ZR z7z*Zt*HJS#+vd1dY=Tk&flYfbb0()6MHUegfV2&_RZMFM?XB^*w{;bvB?Wan+0&H@zakm9wk``H6ZgP^CGf3~kw662-bWCF#Q9k@J9Fe0K{&A+#Xg&E-PPS!ch!Jr{Psht!U ziUYKM?R$mLTHcOu=gno|dNpb?o_2v*DeZOoXib(5$*CF8-eZf9yr@rFxdJ-r z{L`GgE?4uvsZ;SICrzlhdq3W8cT7YQy2D6{LB;0ylD=ZDici3OrQ%L>ykrGtR5Isj zxl8tkY*Oc~i>6Wc+dGR}1+MG@vJ$_tjoO&XeoSj7?69zS)_$Y zP*Rq{TU-(RGc{3HHbUBeVst)g5CZ(upMB14G&qIkE6hVVvO58zq6Jlf^}=k^nzw(D zh{6chjQewVv9}yYi3v|nw_e-#oRKJ|%>q~Z#+Wh3p9Ifbv7N3zyZnFzRX(;NHz2>f z?sVTh5$lmW>*E9e0mL)n>FWJt;?|sA<6kJW9`Mm{?Q(=lYWfjQQrN&Dwg(768}nNq zJ5H)J*Zt5!+|Tas-Kp*0@#3bZ;butNx7rQDl+6JC z743D{>Z3h50-i$`)kTx~n7C`+LJ*{U#Ch0N4D47OXT+bG=yZNbnM zhHzIJyb)mDHoIH8ZuhQ68h%f_mPvlU9!#t!aZ(){_jnit^b*jOEc*hG)`{0YwpYxRHF(^XxWV2au|-X@VvXzLBz61ien9jo^RRm0($Jm z?Zx!kWHZZ_8H^NDuwGkICVluiL7>OSx~PA9oedgC1am;_kX{o$#61?!)YO(d4sldh zM`~$-*2+w%z2+>Tsmf)XP82_W;BXK!rh=RH2{0qheHXDOd#eJteSTyI=XaIrD&BvC zA6H8UiMUitx2u=$*uPiPMB=agSVGly%XM3?&VzT0TK~Q%F=In)jv-+V`%WRhXz&j! z|LmgysBV26-}aRv9s>mUy&WeTaxy~`kuohWMu^pfr*Xv)M|8Z@l^#aDghw38S#6I6 zp36R--!7vDFs}iE$wB-|PsEFt`?H`UDo7)Z)pW`eTX#=F4VJSNHtSBjG`+qrFJA*A ztc+o&Q75JbW{D1ft7J1J6}nB-0|&$;5py1=h4WVrN4h&tx)Id=Qr^)H|L zii1>^{)KKWWIKZO-sk@1BmcHb`N>+GQbkoM5M3|Q>z%SkRQ7FA>r>;3 zXaaH%UR?sr|J#Q~_IdyK^ND94F?I4AeochGa?e|gE{wZ_hGN1;dwcyd_}s~ra|$46 z-;*&9C*-{DLP&s-G<$hq6v!fef4XTKE3DQkmV%l)yPZ!yL5+2@=!)=(q{+A&xs_sh zYB*r%uGT{_&f%u9UeKDUUEB9#Z2Ul;y!(KUc4P@4pn8LjgcQGp8rpNTsa^{E&FDgU znOl8&5x&)8KPWy$Mi#CfppXuOPiaJP#gtHF3ya;F6+BUb8jY*dueT9y9KOP#BD&V$ zxaRgFZb>5DvaYyix==5?anMOSzMIO^k`0*&4Yp&IGVg3pV#vnHxy}SB^{q^ZuzP$l?mWa`n7(b5@=9AY@7aYNR)$13AhCUpdXX-`@|fw~brrGe@zJeNLpv1=aa}b%V^D z>X<2t&NoWi5=@#dnEo<3U|{2it1ec0#hZDHbLyNi1))C=qR1Os@rpC$9@Ul3yb=LW zv=^XTAGC4W0eX&{}DO`Ve;nvtC07PQ6R4cr~=rB zp)ai*%Mc?Y&vY92X76V2V zjbQoNJ90`Qb4Qe0efi*2oC~V;9cR@sdcgvT9LoB;(uy&M?dS%V(byc?lueqPO3*LiBM4Qrq=uNeZ}<&mobD+K8g(Gb57 z$}9zU1gFLnJPHCRdA>()#ER!;;g&c%LItnVhCAvCyM}CK;j?pRxAt- zJ|jNR`;*1{FvDC5BkZwRHAwiTIh+vS%x!<p z3PMTm{s$`pf~CtaWdD3Kl08-@(hOeaZa8R3%g`f63SB}dt~l@7cGef=kW~&n_XaEx z&!VqJ#E%AM>0!+FJ2(m z&=6-hjPSSBJLeVj##fLPT7th~HTavmiTvaJ#ayLGvPotkFd?=R81!zph8-XYM7BnL zVDumZWCV4YAgK$W528K734q~OIL zPVQF$_Nkcp1R*MU`TzzttdX6RFrGYuo+V0_?uQFc?qGl_LfIku7r)-3gop#r^rv$; zCPh&L=|OfAUj8JlqmubSI*AUt#Mnb%FE#&$m`4b}rYAguD;J3HB5MroWsD*OYr_Dhd{c2yHa#|P&;tm;YI`JK2hubxa)imtGMfjipGm;gf@YiRQ3uM{YU(PiI$moF zyexjzMaPsQA^;{sPFgHvGO{LxicIQ(QhKohbx|>+EM6-CNWxqU1TO7zhZHwXhTNHC3|YC~`%-m>B4SF& zn)@pN8p~AOz0dIOD$+83l}rr#r)GppCWZLdZZXKb43BNJ>Z)S(1=Jr5j>Q^m)Yob&6YXo7P|K##Tlr#q6#|27E!eTG-)h817=zhJMpEjG=<$rg9pyIrCbp@)5*lR z06425mp)T7F_Z|6W=n($+Af{>E~iXZ=G7jc|QIbO&xkw(VhzY3(cPcUP!~mD zFP7T7Q)8Bj-g+B>^#wbMtZfkDo%#JCS0RDwNQ33YrtE#l41?>)SJ+;{)sN7l-u)F8 zrL-MN2sB`hv>Gl55&)+j45Nybml+Wo+fSmB29XXk5i1e%PouKEy~|JIe{?C8VHlrBn;b>H$Y-POiZ*iVe04vES=Nkk0{b)+s91rv210L}AA+H62@4KW4b?O= z7y(^KOc6V587q!yfB|XZ@^@%(@aKDDW|qxtYs048BVx!L?ehaLD6e4nm+icfKYvb1k%M6(aoj_8hgg3bI}VFaS~b(PW;vR z%L23!T7?iFZW~MgY*m}~IWg61f_&=OZf27zwj z;V5{$OJERW6#73fVume3vGJK~_r1?wnv{Ribg2r!KStlJZw z@)k%{$mokpNlMX-xlwlJ#n>V8&yFQ0{RdrPiA#w!iO-62igV&EoqSz|W}-=63JuLt z$g77>)4sma{8IeooD}6`$P~2$3ovV=dRIfo+Cq{)vssU=Q(93)P*9URcPyXM=dmTT zC99@&c_d~g`XpK=S~`J*0yc3MO@F3VjCI!NAQqM;ku4aLdTyc4k(KmJynhHbPk+cB zqa34@Vmy8kRB+FgQm_q(=$#=e`Y#T0l8Vy0oPVbKzi=1n{a$c&R`HHYnpx8>@F726 zfti9WXRQy{RdL#ZX>x7Zu{(6vnz_{d;tkkpW554x5aelfV~yXDw&kUzvRfRostTJhLr&A8u=~+1~x0_};Ex zt=!DX#4#ki2m{6nCjJEkxr+oh0EHK-gavw8{1t&00-YXg;(%9Th$HXsriRN6TS~RV zX35wbv)0GzfPt}#cS7#~oVr7z8)&9^`}_Jcrj+MxL8|}& delta 81238 zcmV)NK)1i4fEmL57?2|aI5jtuF^4IC8QG58Ht;=Pp+^~5Gdv|KK_9l8qz95TXk7H6 z>4R+1wpv+oB{>`aeP=k7ul2%hHb?_BSYX9tIGmd^V;(Ic9)0(SU-*7IdGz>&6p=`o z6h=prc_ehgQmdlG7^bC-CPnmH{4DSD(O9J>zOM6X+m#*7^17hGt9&+6B3_n%wWEcX zE^q6yUOXB7KKU_97#AiQ%ao}spnP7rm8i3%656+Y-j`ip&hmCgpP{3Tp z1Ars|lSBppQcvhuXbm@^6gUIQj_xu%vcOW}6|0#rA{r}Zc^0(l)_L2b7GxIpz?fE~ z1o*yL;v$G^)?LxcFLn7I*Ie6yW^nWP#7|w-oFy<3OxPqETL!ju%*iKzp^p~G6t#@6 zyS{DeW;K$QNR-2#ieH0qG_^MkSbn=%kH(&(SyLCASr7I~J2%@|)gT%=_A;LWppBb0 z@6igaiLVIoRXM|ZmgOR^15z+RcUEFZ&NVm`2^bSx!O zqf{)pu)&DHrv-S2k-#))Q$G=yUU-nt0B*Ehknih>Xvk-%97{>9-B&?<0^ zEYe&vV*&dLFkK@tMM2aoT)%H}C zt~)Om5J5l-AtO~HQpSRs0@|CV?#jZoNTNl4XfSW8il`-vgQc!qt*fx@KIDEPyp^de zuJe_vwkJsXrt5acy<5OHr%zGN+!YO5*KI0q*%&hK2mzwKu|#ZHlNE&_k>t`;G7yF2{)d0@0^hTbdDVGz|~+5uUi{`HX!GzC>)X#`&-icZjlC( z6O$cZQ}{S|fj(&sOCT#cI>|<3tszevSsgb64L(nVQ9$d-y~S|iXuR~#*!zQ(5PX1{ zriIXj!6uF2bq)dSgrC!JCNq#+8eXM!J2DW!ruhFPiXSNtrH%Q?zY0#`l2d+j34=-= zY|ipC5OEoQ#U*pU4}-i&gnV$E{;WipFTo~~|B#4_k`SMh2>m4xp}qtnKUT{j4 zeetvL_36|!zo1@2Uz%VqkIJ zv~KAOE8M6Qj*a2_ght6T@fQu^ZwX|%Gr%-hdbv4p2^eF>evP=aHG<2telKhMg zP#`>iE`4?ChmgKtiAfW$3EcB}4#(oTBUFWZ$Ca*Kn3DKm&;qy3s>U*|3wxv@zK21M zvB+9cwdVOkRgD1)G&ljiu}}+J-L`J( za@B0Yk=v2)Y!qR(#EwQ5FA3PyppiAz+ODI2HBUXlZt9t9`?B8@?rd=>(hN*$5dQq6 zy7W>5yhE!XXrJ8?fVM0ZG7?G3c&ZMai7QAAePPTob0klNMbDC><(Y5Hz#^F>E={TH z6HF3FCqg?2xGLn;$8E z+y*X%R+iZK2QM_x;HIU)JVy|pFgI=K8%?mfY^GB>>Zg=-TWac{#wm+-zO8{xf_gYM zpmmgjx7(v>9cq45dAsid4Ejkw>;>b`P%aM+Vc26w>+L6b-o|JuqMJ^R=Du_mz0oZ82o`KV~Gww z5X}guwMURlLC!YjOokt2-fs0bF?#Q8@AU{D^S&*o8~j~i{JN=cn$^m+v(mq60HPVEFayC+ z+Uz(UR1hTL+9TOKpFH{-8;Gu1moXUu6O%m$6azLkGLtcfD1W_L&3D_l5x?iJ(2;sC z#^M{`?#p4@G=1%*Y3oB?H+!HZ+GZnDE=g^i{`H-~05m~Uk{!3bm>@Km836O~o1yvY zX2n;3e8c1Ocb9K|_#oV>WTlmMb$PuKN-<~s${NR{GONq&>X)Lrzh7TSU({8%zEDaP zO-s)TAG+wOc7MAT#r}?7_uaPc*!n_iUHp7K)Nzpz^z(4r?bpEVYftmTZB2u&?hm^m z&fZmP>56akvfBsw`!Dge`GO4U^{b#Elp)V?@QJ`4;UJ#PL4UoP!|Qb@U(Er`al(*Hl-#x{vJSlbg8^o~e>p{SBf4g#wPN_2cR=RdqEDK$HYgUA2J_ z(fqsK(tq?7PJfHE_z(rKs~QL}ExmrdZD?)evv2WjsG2s3*zHi$)kRV+Y@W1(NCw3F zzHdM!h*3gCC3gqZ5Z{N}YDl9%LJ?~KqnhouX>VZYRq^rt2Ri;NUVoRK@p3c>ws_x>=InJFrDoS1rZBj} zK+|cM5Swu;ID)g^)b~UG7G9l76uQ_p{idsjdfXsHV;yC0s=i*>2?xUkQoaJ^H6$T0 zd&3noVBME@un2zdnm>}i5D!%@;KuIPKDC}G2*XsQ8?O~OvUHp6YC zpnpd{Bs%z$4hDbtZEb8i7~p~F4a9;{v=w(`D_UE|wam8?jp6he#6+x1!Hko%5Uoj; z@g{K4qb@^?6Vost5*r60#k-u%`-R9e742b-F7q|-mXd8+P-+H2C!@bUmk=Ko7#e0v zJ&SI~4oHGcDP?o1`)fKEi~uy)Z19MZyMN;p+@wqHo*gFr5U)7QY^pZ0>H7n)xvRm@ z6^C<2xRaJw!@^$0XaJtcQsruXS~^U@JRftMT)5McXa6N8|w zUCAu)2}D0*jMcoTAF8{1JO-sjI8~gi=yi1NFqtA7j?q4mf*>7C^!1Rl=$nVc2BqSJct)XkK4nwm?mx6e7eP}n2Z=bp000iJ6PW!)7ko4tDY;aE{6090oACF!N zBD*kdrv2&kp~{j8I}?qHpNf)P!ko?5Je-!Jq12l%Ie#!3eAoJ!cKe7dV}B_sCK-Aq z;2bBRMPo>Z2xDSo31Ac|)mzLA@C>04f(o&MiAl7CX#_u!@}~I>7Y1AmzhHjpv$Y;h zS`^*>icBQc!-#e|V$s#RYKUxT=DMr@b*S4-BnX#Tn&KdV z9!ixlJ}#6+hH*9e)u)By7k`q0@g@qYh%NKs%OS5on77EnAh3RG~D3RZVyt_J=+z2!Gs53j$@pYyp`D zv;9-RW<26IUj}LDJxzF^KcT=tliZF^$g!XbKW@n)>qy(~hdAGK^=8<8Bl2y1-)x4d zNElRDPYj1@N3Zu2XGNId%`)mjd;$jrE~wL9`k}7EA=^iU1LJKCFiB(W8zU|yAzpeh0jcp8X|xRtgU z>b|+d6T=@Hf`4@vLk*Eu-TnY3cRXK64*~%4_Szpi>vQ!ym^br2 zx;=PlOW7uXff$3}HN-7Pk@O_Il-w~Pb?72)9#?*i~*QtD?|P4A_74LrctKE zIDnH~1;2NRvVUrity#woO>P(=ew}n3Jhcqaf!B zLShwG=P}Nyym3PSXCD`jaZXL+oO*;kM7N)Q?NE>(THt?yHXNFgc~qNr^ep8!%10FA zOhGg=`%+N6@G;Z>vS6~3c`;Tu)laFKUBDdx8b;Xh>wkg`WOY*W_z@=V@}Gx(NcC|& ze(nhyxak&^$K-4cpbO7@`sRY@>4@`50B>&8uv#phxtahosn3F^^9_|}vAJ4o$xCOK zP$EgxQ)b|c#)BQRboKv;3`;om(kVabm}6#86S1ocYW@f4>vVQHbCr1s@7%fn13-Qb z{2Xbv4}U){!T-F1LKl}>Fd1XcUjaTf!&t}cLg@m)jrDC!3ncu75lFc4CTte;4Qa`1y6yL@-F-N(@0* zqNQhSlZ8=QT<>s2Y9hc4b-4`1GgIuU?q)dj2RijgtqxI3|5vuc80KZr^sf^ zm|so$#|MZ%$#U`A)Y#^Md4f5HkcW8+b13K;6{A=TdZ)T<0+No)wf%JFmW75}R{5IX z52#l{P$<4#?!_Cl5skGIt0P6f?1o0T68aI6Fo&K@;NBQeOE8*2udlRgHmLMQqpG*IiXs@ET1{&i-o6UDop%O zfJ>$pU72Pg^$_`jB*|Q9a0esR^B~TGJh&f#)C=WN%_>3N$y9!B-OlG%-1oF^4FB#ac^~ z+qe17}3rtdhiuDEX0JpRWOsA~}%cSv&D% z#7CpiKzD!rH8{L@SMcKJE1rJ;a(nf|OW}%&RaV;K_H7}QVp1UQY=7cV8q-B;@(bR_|s3wAjaiOr> zAn-dkJflo8@AM$^DXYX*dZI*--M;)&Mwb*!a%>@UDp|E6sjI);Uj6%jN~0FFJ5I1Xf&74&}ZMe|b93=|lC36yyy@`>%qu3Uc0vl3u=#x;7yy@S5ruXdnMr)Ij3a@_WO78}_ zZkwLANll!&>)U<%p$)0_Ir?>2mXe5mRT#&ab8%JV!Mg7co0L<3YOppY(}^_OcDqfz zZvWG)CeE8WSZK|JHt>vMRdP&<6zuCPnDiu?q|PNThjZN^bSi7*x6j(g<^nym%$Tc| z=Gs9h7ugz-CKr)C2Uf{$B47I|LJgM3v9TClX*8e`7cv)~k4% zkT>3JyKNtUw{P!%>veqgw%f&vdK*I~+=PU|Z;Am~ez-OU@p}kCJrf{>@p{#5>UNu+ zcS$bHe}8}2#aLvsm7#nX;hDyMgoS-2}e=b<_8M@#^yA$_OT^g(7}_a%C(- z-I$L7B6wSse_r<;{BF399wIA3meR$B_9?&#-3u;9*Oue%#Ppp^#j3X70HMY2~3d<>ySuw z7@wZORA?EjP4KMC0OcWz#E@?tg)!Z(+Wvmm?3<)CFdJOlgBW4beH-jMbcZyGJ*)fbc08Kgdzkz|4K0nHoz*Ue5k2{c}+w~ zFwOl8Efo*Q1%4DT3}IQ^z!z20)+Q-A(FVR^Y%vj%NoYEyVakp*;6(;6fw~w^gnb77_D^gE? zS5OgKF_6b%#g`?#Gnd*q6AY&ZvybjrZf-KHv?4CF~uzvZe`6k35q|KZQ&=U z63w!i?r0GFDF@CTg=Z``IaN2#F&^L#yc?bB_gifgwUb&IuueneSebKBQ(-fJhzj+^ zW2SRQHFOXo7g#eb&Z90~F+UKfyDZCpGF)Y%eyR+ugmjBMo}~^IL{~wV9$+oE=@nSv zm|(ASB!~GU<)~3|gmr__%Suh5pCsR8Rk0K*%%~|MzOunbSe&XFn&IiI)~F1DgX(8S86fj zLQ4t|a$ILEyx5siF1Yzn;vux#hrU_GZKWQIp1f4UdH}Touku4tZ$3Rl2t0amwphuTGbV%GbFGy& z6JI?cA|CNQ{}gtF%4;+B*if4v6C^vUNn{MVF)`iJ#di&f#U1GQxvVUa0b{<7C{k&0^C~7P!dg8&5e?^QO@tXwXR$V% z#hxo#h-ZTwnkhRv^rQ`xQyxp3jZ0tTeA%PxUDdmEw`xAL^$DyyI+??FZfVD`^C#_4 z=wj9oef*@F(*|RfNdXPGR z{E2NjZDr+|MeC3=Q(Q1p6X$Y^vFT7Zem$s4I^gW%Wu#5(&)HHfz;8IA9O<}+ShG4- z#<&DI%{vqbKemaJDDp>oro5iiYuJ&ED~IA}b*iD_yVg(?4oIJWuc6*CfxcE4k3P9N zTd9Cx3y7PSicyta9LFtN5EIyt2%it^*A>S>m!{fLeUIX3FBB{vPKA$7_>@8P=*A1h z2o;2*W%?3N(J_)bSBn{EehB$r+tkWkB()r=~ z_;GQ@wdbD}S1myseX-j$TlzY+e*`K9;U$m*(xe7pEOLFM-dzs#wV0=Qw!BedjahsG zmLcQhV`4DV6PRfd39ZQZzcGchfFl+D5yAUJT-8hj!S-JSQwb_ild&Qbmr@!55(OYK zF)}feF^4ICTWgQwwiW%pzd}F<7&#qlN$R~oKBQ=NfuIEz#UKf~yC`It94z-anMLM{EmOSbULIbaOFfLV2MuW--k|#1KuAM|%|GBMd(b*9|N8Le zZ})HBzV|K7GknLfwELNcZPRct)*Rb4h-qv0Q|*&~&K7Bs6{9crKXuXJ1GmxZ7C_fN zjcsD$q!Znu%aBm8@R4TMXF=h&lT@g+1hVimh)9)4t_hg9`Vd}PEy9a_ zThLW;+wuUdcV$lDL9TREQu9E>ochD zzU!L*)-Qr!!J_A_7~b^)$!W%BJI65u)N0(3;G>M7;v7=oiseO#h7GNUA?ileraxy7i{N_E;2qJdiNQlE<=`-yq~NQO zLiR_qD9IllirXOOdeK;lXs~PeCXwNPtj;13^+o$}IcId&c*Np74MKVqjUi}TWbXR1 zpaR*UR7>;{D5k4)7`t+SsMj`pYs0#_{Oq1$G%U_7>wdLK|LZ_|mH#>ykHvVan(ICQ z=i$9~DcuFZ$3K_@elPBi;i1>Q?ZPxFHk?cRDrtWr`D*rKWcUumGnn_*hak&vjr<6+V=@k_le(e&l-OFj7@7YldSB1W|Dv1#VCJ9 z!tZEb`lg~zj=iBWn0>k`u5&kk+aG+N2^r>)XKnJ4{z-`=UIU;7&GL6L5pH-UEy_`~ z`H|t>+%--LHENy5H~Z3R%EIFGw5p!pU22JbQ%Qoomz*W|K$ei#EV)XSpckDb@;lAwlE#Jn5k@Rc*Iklo zyD2B>h!@7rloWY6;nytre}d_M%UlR^L}$gtrvsA3zS7<`50-Ss9(uoh_E7EojdVKO zEu+~Y7{u0bv8Y10kWA!%^W=$hRl~o1Pq2ou;oCNmZ>#!-XPMfVxQ6F>(&>+@bTl@x zp2RdB!FR!e2pZh>6_bR+uI59y#NlZC2(Ykcn7)MiAx?@p&A{3;`3s<yE8r3g z4hq@cLX|zmx25MHqa&=xA(g*bF3$s|JfN!zl84F>WvE?HIdZRm5h~_E@?Z&&f$QX~ zI+~4+wt@Kc$qseeb-+x+bFI41N(tilRs#e>(5@%bryH0Hi^<#c#ijz!Gmu+%;S`7- zCT_wwFrQ=tgOCEoHC)R(Vr+IRoUx@GBPIq$?Li)3>YXwp2>?0Rt5VW$rz8!Fph^=+ z$K}W&dJvT~S0p2UGJO7aH_`y!GGQTNjX<{hup;jl0QnDEsOYav9Bf#`ZJW#$!*059 zVD6lb%??`Eeq8>NF=^YZ4)}2$$R}sZ4?e(x2kcu`+iW71k62BP9*AXU>p?bQMHXbw zvN=quwI#mFq|9ZvSs91*nsxO0yIPwd7Re%D^~qW1WX{WfD4>NLavtOb3#I%SzE{U< znozHOjUY&ONC*+{a%8&@9}6ZC-8+5IX4!4qU)B7q{dvSdpoJ})r+Jd|kg=(M{QG-; zAXI3#X9BtAVXKXjswdQ2+jxcttu31ai9>8yCZrSX>VO{`L=T4F^@H~lLmXJz-60vE z1D37-GV*MHy&`BzKO@tMsbr~`gK}4MF`$M&m zZMa^C6-d6_JX)ZXE^Zsl4>%#VVPn!s6b1tpG-NdAMak!4C2|@!654e<4f~FPoN58W zI#2`$gu82nPZi<7M4D#fe?Fq-&5|fe_=0-MRV4v`S)kCo99c>sq205stc`-*K4$W?PaoasuDOPCPIOWX{m@kj*<2x%lRm|zR)9RH6c&);9> zG^R^`o^*1Xx7K)9{|EvgG!u^H&dt#uW0|0F)eKugtVb+lMf5!KEWQ=z?Gbw%ZR!%M zdJ9RBNUk0RIlYtTpVoa{Scefuls~3fl6Hb(d_Os*t9`|zUZlTI@2LVCNDn`WBVU$FOC+z=zkh+#?1{svU61qgsvZc)Ftc)t_D9Cf!EUG9p z34L)vU*v8V&eZ#0zFTf+Cg%0hf-Mp>^Iei?3Nk8zc*Vxkg(Xf&pyhw(k=a~IS>8QVVJf$ysoW54L_c+#A*P74{rJ3ln9YR{Vec8Y zWrx3I+1!Ws9csM z^UIS^r4c9aV}U<`~`aj!v61)Ms*&fw3(V%OD6 z_-$1AG}F9XwDo`D?Yi29SBvc`JOsOhhs~nihNoq-T~?3X?luloi|s%MOl-Zca<0V) zMd{E27?pw;Fac#LF~!{mc)Ro4XjcAKwKG;W^Vyu0-e)xJea3*#oLUcyM7eN;=`qcR zjC@C2aNvSMNEoePQ}m?;{U;mL)5qirw5gH}yj#L4|FwVLb>VDXfADS7ZWinMw?$Vs z+b{-#Ue*0ihM^)87~*D13O=3a~n}iUtk!_&9Kp&Y+?w6E+hs} zkLE|2As5eqnxXn70=l>m&=Vr7U%t#(3~}?eY5XT zK)vhQ`t3f(5?laAmx*RG3mJ=T5C`UV9A)qf5=b+Q!PAMG9bM_RzQZAgGYAGm6>c3=n^gg%!HI zs?i{?ZZw#HCs_(8MT+KWk0;sxi(t<+NaXJmg-;qJ>bOBNmBFD75*+ZRV54pXHwL>A zO>|=u0&g%EA;BxLHuk@lF-)}~yqS>?@8Z%n5`60;VbhZYAn*i1(T5INR`2#9LL8lW z9LOBh@Xn;{vgs27ekI!Kbj^QI0G!)NqV>aIvWi}ai<}cmRk|h~4&V!>0gD;F4lo1& zfmI<*ChegKxfl!7Ga^H0z{oGpKRm^=X~Llthj&F%%KqV`H{r@ z!F2#+a8eK7Kva*57SP3hy=VgxIK{HuL2<^T_ChJy0hj}e-*pIBl_+1K;zIFhdJJb^ zxbfz_MC}d@Mi>Z45>X5gSyvOM=TLz;aNdN6AEvF2L+%5YNS62>kUg*l9GC&f_%{Kl z+K^v|Zi^kVYre|{PT_w5A18Z3I1rg)OB3`2sPba9!86fy4%H=On7M|3X?b_n#f0>o zs)U24%@w}=3b0@a#bdJKA2W-NvP8*0O z*FY3UH%mO}AAUB%7MFyrK2X>RFDJtO7_=up_B!mSdzzs#XO2Udk-mA#xO%n$3_W9o z-LZqVa-vb#uCsrHn)FmUd+8|8TQnG}O)>RoOL211NvG81EW6rGU#{J&r^*PP_s^pv z{~=fDdiT4)t@>zgvkH=_7ia)>#2uml&Dp0WoSU&p{H~YBi7L-{i-2T@6)k6k8J>Cz zJN1@l8qV`wAxJu@+v^Z1&$tA0{;q^hk#v^7pvmV*7-D~<`^ZZYyu+u{z92rm=gLc- zJ7<)^54@hDggfzB+RVsg&ZpVLa$Yplo&6djG$5D-=*`Cs2nqG-?%m$^4kXuQ+xYsq z>B3Je=x|Ec&xIOCh8kyv74hw4nWczIi+mn;Ix zHRe*aWBrU)*Wc!#NelG$~O?P}5bW)$8#};9qxp( zm9gvn$O^*Y@XSy`^);;)<^ZmNy(KFiFYJQt8O49nHU1jUm4E5Rtp$DPKK%W!ufrQO zw84$%_~q0*czCG&4!x4~9@`S(O}Ka)`Yd`RkkR-ceb4Q2FAYjZ2uM-p@#0RG_ieKY zPjwf0j$d=Z({TNF8>jT0phvvRT!okKGB=m-dXY*156OvrG)@y48ng+jEg}lSDUI_$0f`A_F+RiR(y^Rrz!3JNYITV z1L?%m?y04wA-9nVf7ir17RmjKe^v0oa*G#N@p`e`jO$GysV9GA8LwC6x?Fu6avN{( z!RDcUG8^B4dfcBynQ_~dSxo_V64K)-1&{R$A{BB=Hg}FtA=8)MQbms(Bq%3N==7aW zCk_(S5-s-5VR;bjUSo<_WzzTVm#Zk3T0lHep$#hZQooO@f5!3er1VPIjH_BHWfb+o zYhd$-sL+lwC7{P-U^E>1^iTm?`%(d6lnJ~R?I0rtLyT>n9}uk|*2rc}PLzshCp(+u z-|skPFd>2nMm8drr4Apbvuh*aA=NNzaNw0C?*Kn%_U&-u!yg3Q0kuMirV0 z;+!ic^P4yCe`qnq!=DODgtNs{SULyFC}GyqHY@&d^S9_#656?<#8Fi!r-+2r2Oi)* zCaZE&Q~C3cuZAPZtQ!0P>j9ygD*SAh+x2dRCp$}~a*SxHzK%?$CDBS0$_he_smWZ< zJ*a|0Kzc_Z0$NjzM(#6u2fi%p>m8OwoDp`X_Yor!e?MUr%Wfl0(OL6iIAYplH)LQD z{=B;*zxs~i{2jmdKRW)H=I2Gc*_`G&r*T895Xot;bD}3o>F#mwGe)HuVYC(ho1AeI z%S^LiT$6m4b9Jx*?V6SEGS)fbf)Nh1jbbd_i<`mpGG3P|0t`1>KW3c+W&8{eqxwj5 zJ*1^_f2}e{2_jgc#+@%pjDIgg-5UOS&3yuY;3U)Di6 z!zK{KZQuEK#j4?9bQG&PELOx2D~ryemo=tkf&`+N2DGK&hYt*^zzQc4@pgA2h#VO> zY8&s(GM3C?G%bc-=48n@;mE}h|E+rl)w;are^V*RDIO_oqqFD$2qYzjUm-}V%g~6F z)8=()f>8r@ye9nbS@3Ad6IF&|y;K}lj2!$|{rWhEPJ#>uWGgAI=sY%AH7I8;vcpZ* z4iyW?N?oKkzU8`t8Kz!Rr2fXb7IQQk5sY*@61mL!+F)Vd(ABDQTk{?&a#2k(#2aXeyXR4$x)NYM zWa~i1T=%>xS9&0J2!3V&z7})lvIO))e{LT~giSKgYeMrZ{`b7J&L_l2y|ntKCU>5k zMN+OYXY+g=X*&F`08L+Z-iNHeFp|(vYEtB1bye_sxtfn>)o-zdmtoe0j?qOn{5tQ? z1W(v~8I#Fuv1O5dxoftd?y`vBM(48I9bE@HFBCk}%R4XmwzGs==8Rpn?M#t%fA-qW zQW;{A1cct-FV*HD=_Q6t~-m9<@|BGsqdDb9%Juz((U_x94b8+&$gi# zjsH!ra$Wkabvcb2{kp}L+zmEW-L>{BwiAD5L(e*6Ds4v?JRk=sB!~C$5zq7T@a4rA zd;+V{_@B(Nk~oTLrL!tu>UN^}f6Lf*^_n$!V!A!96igl=QakVhe*&J4fXNZ+SPx1` zQ>WPqu_UOtYlKND4YpCpVi~t4?KO34xsgDgsePH&R>l9y?1l<76mtylb*X&PBHXf* zML3dAn1)gEQkD5GfF{c5lmNS@MqhLCuP+AVbt3FJEvF>#y~uiWRNd59e*_#n>NaGB z-tkkXAO0}*7Pgzjh-miG4~6;-X@9X?<&4lzEG)xe7Nuz|%C9s&ahCCkON=kqV=~?% zn~Le*8H&RCq%Uz7`x25!@HXP`=8Y|n^D&w_Z>LQQ{Svk_VC}N~txMO#x}1J`aU#~# zAx$V2a+ctqoAFdT+nS8me`R-|CE9`3vJMW(7$gKI60d$4TGb2_TTr_e)U#DNo(^N& z#Q$memI}G>W3p*7JmQ0S*~B&kE)xRRkpZDpoG2<%zL2izHl0*_sF~Pf0peH<}0`a-hq5|XYGF!D)@0D^p)f5edp**eI5uFBaoe)f{g z@9QeTTZwmXu=i++@#g(%Igd8@Te(`sdokQ}z7we82NC5ed?eugX>RVqQ6{n7MCF-h zr#$$4nz~w^Hunrsyw}`|t`9BggP%0M*}o zpxGTErG%O8e_Z%24$sX+$j-Ea6uc64#3i6d)@GDGf%;zO8;6c${^K7`82xJacRvV2 z=vPP^nT0`kLzwprfwqPKeYUnh6I(FR7HDG&$c7qQptUW~#umbj7|37iqLk|k;)kF~zqolv3K=2MVH;E;!=x|`PJ6B30K-IrvyE-!M@jvEQCDLR+59|Yn;O~b1hQ>FwmtQIUxvxOPv@@H<9MF$snXUL ziWw&^NuN8ezlQ*T^~)gO6`)Z8!m@-rY+A|^M(Mk$Tmkk+KVk)ltZ~PTtJ#Zbz)kJt zWhrN{Q`lgGjhxz{4DDMH?Z*q>Cm-eZ!#G9e3+=)PQ9;)Rtdlpu`F{aT#0OrJd^jfq zIW{?yF^4FB#al^tCIm6sW?C7- zh03lM*{}J}oApg`Q!T6AOtAcQHs@OBf2+2;O?9(>-&N}sj+p%O%*lMey2X+02N<(1 z-#wIpe6`*@7Rx}mXn*?K^-n*1W+rpQX|DYm2<5Oon!(B>EJv_R3rnnow~w%#&(*3} zE?;Ms=P--3I)9#Vlfy((iTt6!A77dg8P!_*ehi1L1aen8ojf^Y&iqjns1GnpnreMrxS|D-tr{w#|nMq9x1b zoD)Y)IG3kLC|ZPyP$pnXPw-!=Xo8s_*2tRXCCNlP*FgXA!)`9(Hf3~01r>V zaQN!)*H?dB)!XHU5+P-#sV35>?Dp~M*WYM=wt$yEW$?<`?Aen(W?T^EG(0Y|U#|WY zb+WzMnio(J#-d8zgjIuT90(=hFqI_?j9{b-hOG#;e za%v}4>paiUn%<0#+QT+!iiv-!X^N!kfrsd*UZByiKxc$KtON{#>6XyD2Q9cmr*?`4 z3Pl7^4j;6T6pYuwK^wvpJMo}z5-Ud))ftEN+YXoh8B60bW(lRDIb$*5DZ#;je^3Ta zv-U5~)$ReD6E*o$Qm)Yu!y29Xm~;%1H;T!| zmkUxLN{gfAvT^ZC2D=0w(D{ta=GvJ2x-Yo9n3Mgb4>)u27EAZn({jgTtyvw4))y>wbDA9r|3HK!kJ0; zHDRi4O(9J6{XlQ!aQFuQQH^&?YSGcc7cYqur(oc9BtbI;U#7Gn6p<31Qt|YJxF;`* z4Vamr%3F`18t?=hzC-YYzW|1R-0qi!5B2~d09Obm@@f}90>d(3So<Ht-g!5y4G9b^0Q6OK1?G3oArknFZp!U` zxeGFQMz>VP=W6K<=Ga6On23#Nsw@H3LD0*eAIepHiZBqLZ`Y4c`(6Bh;hh;iJeGy0 zl_+#w3msk*t3`*jCIF#zQHAo#tvStLyI&f;> ze*{Qbs0)#7O+E zd`v{QIa)NTsrTeOPX7E*-D2>12oc~WAOZ+K2)%t&^0*wsMiBdtsM<`$F;ET%nncD_W_MxS}9&2Ds*^m-&b+YY7a8mBe83Na zsFWIWVTQ=Y4gO`o2a2ATNNUp9?u9pG^A@{rSao(krAV)7=Ph}+90!Kpie;>0SOD+M zM7+TC%l4=2rdBwmBy4=)Qae=BhHCMehF;969*FH#H+>*~s1N_gNYbfH&$*VqIyM)W zYTI`yO-ECO7$R&8>%UZw)w0-NJzDy7M#w{U(M}n{D~txFjt0k)(9GAldzpa{i6eqE zO{Gq#Ycm`R0WGRCygdL*1?~bXA`}qRMczL063%!uf0?(JpioM{!nCiCT;%N|ug=1T zjFf*r! zeU0&d*B-}&Uz;(A(aRW^M?e(OleaP5WesN*vRlY(onv<_uD;V)E}rXRdcNQ%()CUvs@lE;|~>!Y72K+7P!Wat5O{Srq`@!i3}}q^anm7sE~{fS>|d>^nR4>sI>)f@MoF z8XWAf-oS%$-I^_^?Lsy90P^+g-KwD=X`d64;c4L;y&=c~DM zgK^*ifrs0JlQ!$7wh#21p*9MB0`-*!4|vwjJs*0=4B2mq9L484S@Kg7`J_DVO2lDs zBy+efKwMN#J6SL6c3zEzF1lAsZ)DI?Xih9`M37}YcO4kcpRDa+ZMDo126904CCJDJ zWd|0hu}jK8zqwlgpIZi@a1PMUf&Yvh_~lpjJ&1u~-Z{s-hRGMbIsBaCq&!i#TKQ7( zikIc#&`1!;C&cOEQWR^;t}7>*(}yA#5NkM5;V*cFAl?GK^gy;17cpnuL%nAIY+i{8O!EExRJZ{ zt!t1tS*8C*X>VVyIJKqSX@X}o{*o{x>6`LJlCIKc)VArXuL9Y*5tdWs2GU}O6Xo*%$X1nM`#GVs|DqWT3s zx9XaXDp(Ip9>47}Fj_UotLrY7B6xQ!>wL+SUxLk=@U5_FvQyid0V|)^l~+xf4DxD) z)xYf9FyXK+4H+#-w`z})gfBNU(Qy6;&37qivS;T7w*Rm6&2XeBi(j*O3v!9iUqK1L z9KvF?D4v?XtTX`3g~QePa;G|C+^l*Hxv}DGjEVw=Qyet=jvSfbJ!DQt4b|SUb}u`O zaMy`{Xpb%*`39-EgEcF$;RF0>$WG%0-|qIXpoRxTpbjZHJ_i5Rt^T<|00XtC{QBv$ zv?KGH;$LD<@4l&CX-U_53svhx(}PT`x63kr>s}qg4WJR(W*npq5_k@{xY?`fA*2fA zr~~=Umu&ad(+bjC`&Sx>$!0U?Y_?bGlP~~Xq2T{#449ezA7sGH`oECDmX?h30Xxb+ zJ?|hdvm_3+4aCZpRyAg0im1F6iKv}27La<1%z<_mzqmSGvojooCL~mUc+Xo;nMgEi z;lj~t&=~^DLAslqJEpWPmRxQmiwkCUaS$pte9ZF2%&as8c?B%zkzUKo4A z5dWUHfkm1*{R?b-Heh ziK-x|2Yl~(7;gMSH%tAxO*=)bi{^8;lm7W@N_Z^))4*QXaBY$rpu9ZQj7L^g8rocv z?_~rdhKx$4`8zONv#V|+=VpZB3#>o5Kf8GVlFmUCLqzMYU`9kGeDYNkN|UZ^{tR~| z<*qCWjYK%e9f<(2`39_vlYyQ(9WI#)W7=(e6$l()O-y9t0>K@EYFI3lieyn>lpQWc zF;4}0m8P6R;M+o%z{Im)myo;=Oe(xeEn`5EbX1&HM}7C6Q09kJ$+Ce9KSF1Jy*his z%$=uXW%VX9l=DGB^X6gbG9RJMif_e=PKNx)iU2ZTf<+YIfMi$db7L?7wpk`D- z3E~*8yL0C%iXxF6i!Uh(MkkZh6-=H$^VO$Q-0^qsew}T(=Ac%X5;rMHR5GR*%}#$C zG!c#YDU3OhIKq?j^e(~^Ey$vHFCE1o2sMu3_}DJ4R|OZ0J*GwO!p_P4>^eGR!ARAw zH@Zg0_-+i)tFhM$Cz!#S>(&AMdU@)|;?E?YzvH5-32;H2vSpeor{4O`)|}`~M?#_A z$C%UD#5`+ePV%kahuc;kx-tU$DNxq-`^On>8J{VS)7-$U7$q~UY<5{Zcx~C}E_7k1 ztM_b#G+Wf61s30Abvx*O$Zh92;6QRJN`sXPWIqG2!(>H%!G~g{$vuM3>NSZGLVEWZ zO7Hn@J;ArimC_!p$!$Nyr_fykw4jhyQs3ayD`?_T!5ybPp(0mA5Y8h7+$hdkDXp1r zpJU|IjfMB9O_Dm#eP|xk1-!Frhz?Q!7}hI3#y0PqGOjIhs%#}cT@PhrN+Hl~?TuwS zRNR1NELNsp(0T!Lr~U$>Q|*xAhz55f3TE?#Pw!}m?#mAOH_L-9&3&xZ(93O>ZWQIi zn8WjKb@^musw=RQXwV3@@p1^PJ#j;z;67N$ZIvq_>LVK7R~*@SD>!&L^%IFk&{$BO z*%ncc<{6MiPSNzhufT?rtP#J`7@Ga+Rbc=Gg1wpuapO2T=~j_BCD+R6h)PXp*;bRyVr0P?&qA_Y0YJ z6Ckez7o?X46a?c+0Z~e1LgHPaNnI%`r z4WwZ%)fQmO&X?2rWf4^~;My?r;7|IMR6W^MmkgmM|CT2!-wet_`RfFLlB{Z2D9CafAk&RmGAGELc^IZbCm4m8$@prAe z?GB`u3%Iek`c&LwY_Gt;kUu>(WAZzUF0+BiH9~;jk>C}D9v6Vib20P7%&G4?81UA{_!&BN8%mu%>`S1FbUPfKBLxr!;Fr0t*x?i5*Xta^Depfq9{X zG6sfn%{zV%IJ>B0#nqE|>IhGosli8%yq2(7f&6(MF--uYK|&oTSA4F2Emk;4$~;g$ zg-;XQBf%DkWq@fs(LWc}0Blh9pVt70e87fQQSWGb#6QnV57Ytp!}dn`K><`l^#{G= zv)`BRDdZmldir0EY_nhxA#e~{BIIINCAzjXeqZpE)*hB5nSHz78?LZE@Rr__y5v1N zUmJit*jkf#a;o3yd2a>BO9?7QvDl}TDzG3+f-D_miZkzKk2KHd6ZaMaC2t%p@MkhM zB6q(x6m#DhoLd2}7FH(dr1T+U3HjZOkL!gSs$U)u%EMOf2w;Ng^prpmXHiEi->%kI z4YdZ-Ic+g;{t(|}QJ6Dp#+R!Eqz42rj-i<#A|NvUkCa?oA*^8LlBR2L7A35){Y;A5 zB#hrycy!3~oXh5P386B)YCw>LuyGm5`oHv5EEC6Mg0lgrK#b-&#)2@5s_V(F6p7R0 zY+g1svS>*oFrX+u4zvxJM{bNzBMJ^Y-_b*m!uei`hbY8JSTJnt9mo*EWj z!+WyBeX}AU$a4eOADYXoCC#n&6WaoZN~xj=y-ch@lO&AtbljESL*EO!_^<$jZnLCp z)v(`b-j9H>&7c$nXT;O$!n3fb%gZ8yd%VO)Svr$aziJJ$a4Bq*nlBiUuL9by%1vvd zbtDTG<&4jr*&0mX%%Y(KWKxirA``5Uv_SnWHNq5l$v>ce;S&UDQ28Q zGFy$tCJ_~wN0-rPv_RJkmZGQq@Ua2x*Z@N8=^>-`@<#zBmAHW)QrN_H040DiOrdeW zac!jVWyDnA3G_KDt|hEoxe|FHDcpq4iqZirT^A*e;<2@gqHDT-DWR5pq4sMY2!)e= zm1wUAGNRW_K!irzYgC^56y$OjpdZS%o8%`)1dufUiEDIAy0TL1zHu?)>!#&3UQ4Bc&@Fq6p%$}6G@;U{uKd+k>|`vA zOyS!v;bZ5fhC#2BoU;$ha$3siiN7zIgj$89RW$hi&?@CKSI=(!V!yq-!cWN2t7r7@ z;aQyOihViY!dAa2#@e%EmTrq(W?`Ps-8RikRNGZ|!)K+fWXWZhP+g$MBg(We0Yg*+ zUQu4KgBQ39i%P_ijspR>hbqB>sKF8+JIEt zhw*v2wG`_IyEJ2OETQLu&W@&_jS?H#v~C)!7gKaQwnnt6aXy=IBlL!->4bfjF(`?2 zloN44OE+Q8;{nykFhTP`NA^iV8`bYbMBnSeB&aEhB!h+=8ejYk#t^E~2*E`7E$El8 zU%#xSQnG#r=%GPRQaUmEwYR@M7_Fj!F!yssk7JYYYF0D){g5iC-CmuLNvKpDHe9vI zGid}#dQ>LqGkhN%*p*}K!TchDUV*dhpV2u7G>n4uZSP9&k}fjVy5tz3x>XoUD#8Pp zOM=kvd5ypW!d1QP%6bcNQfU%xShQswL(;K0-kUb^SIvxL(+NzwBPR!uf{?pGV`YIU zR6ICDLPKQrGYR+n4sTJja*!M}_|j?+##+SdqTaMkSZd{}C03>oPq{OXOv&^G!H%c^ z>M#UUCMNcKfL|iFYB^Dtxv|AHRGLc<$LVgK#4U%{{U0453)5#}aUT z=9DaRe`jR4UZax-dbP5HkZMoTj`0$rf(PcrlHcvexkwV7OK_x$_n@*%vMs7-3?~B1 zjJ$*xhwl!O_Iy}CHXy^`ym3ZU5M5>Q6y~rRSrg4DM2WQQNp4_Uhp#jzu|>^ zVhKU73xuaWJC zY6a_m5=3%^o_Jeil}@;6*XZ0>!_G~t;m!7mJRb)=h$WwR4dbN)rCaUqP+c$f4xn*1 zU0PnW1|-!v66T*6u8U0S4R{hveld*vn)VUTfr1zrXmDJ!tpnaa%7B&!Ot>z+9F2E% z?lfAzsH77n+C{1^Vbu2JVFZc!-#2Yc%?qf@&He=4oN9kq=^~VnILl}n9k;YPb=Gfs zj0R(5%=VKoh5FL5OwO+>%FnKL;kV$RhNGa2TauiO5>O@;aTo_9N{kb$NuhzZGHVCR z;frs*Tn$sNRzG;?FsPh? z@?_!TjX9AdIWM1>X@iDteFUAyCxd}&O!tVgp8wK%<0Xv17a;EeW|jAYxsuI|5mf2? z>DT7NuNoiN8mM2cXY1uHryBxtl12VzW*_sbPDSTO%RA?b-g(NxhUUBuUze~=<%P9H z@{0>Pk+I$B3>o*gYmE@$fM2GY;NkGzS`>PWDZUej8;2vw3>uPv$l4SA>}rxVTT?^} zk^!M}B|uT4XDb{7Mt_Z%hudqUE24=K0}1mXiyEi*5%^-8QJL$_`=T+Sh$o_M?x1=0 z!vyr1bEe+*js?d8F}XtdZ%G_s|0#LO_Z@;qGf^H=xZdPy++`S#J+AmMd$h^?En0s!4C$r;B<{hQ<{_` zYJeSmz-Dvhv|r|c;H*(w0x|~X+-OJqtd0U?#i@PW=@}9%B8g8PqO2Hr)bVE?F}(vbWhni&!x zvs#$ez4)Cu>gx6XzbSlKqQgP{pVUHf~kWdp=rqEeRTjRv*CyRqeWqGbX{N)N1YmPDlwj?*;~aqr;8aBV@Vx@=Bait7W@xbmcW!i?0iD|JvyCM6QW#(j|?nE5e_;DgXS_ zPbCN;SSFU86)F5wU(@9~4UZq=XLwo2Ot|0(Y&rMFj|>bqnDe{VMr9y%*5{q(t!xa-!66M$C>D*d=VUUPxKu1e13|Zr|ur zvRyC|{S`FkI`3`gQ8b^t$r&4NW_3D%0fLmTmc}ku78*n#7I{CK)Zah#2S3%Fv6#xO zYtoX@1SUTijFwO$T@+ir?W;LD14#}F$k@kBg~-?mv}KBeKO!fLu=t<0!V-J{78eBX zLDR-`vL$1b`y!@1ADU4Kd0~FLp9CX6mmwO;>{xM~AvN=J@$eIVHKVbLOlv6tOM@o!0B_xe)Xx$KF3S2Iwi@8Ait1O#J@ zaVgiuwUa!oA;Eh9F&C!Y(u$}bAl3eIwf|$1$-ebgl2*5O1S{hvrapO-(MY(i?AT=#X(4S~!|dy#4??8=M*%5%P{ z;xb=oj0fm0#03CtjCS(zi&#Q-u{B(8%&J6Fl%w~ui3E^vXG>!d_*m(H)(G2ZwBukh zj2G7`Gk&4|($GU%wi4ATCLzO7xh*zt6#)^PCt?pdOVUTHA>~jXv&bJSlZ`WaA!KNe z9sbIC;IlWmyNFPPG_<$ui|(G8VrlKFoy=-k;ab>+8w5a)p}eAh8P_q>$WxUK8Ehz2 z`ldvX1jt`}iUh_wF1RV);W}?!F%ZWIxm=8Q_Kjb*QGdImQe{YIgiAU2|LAcXjuIV8 zqB<>pp^0D}W%x;6~g`a}2H&@a=x6hhBpIPZLkV1RWh&6_S zk)%qNnPSsPiW0x4CJ%x;Rw`Um)1MlfpQUYu#zr%>fr|TI(UHS5`rw1RGcDU%B$UECSlLt2hoHp zY3qnXc~h+ewl7u%rT2mae_EdBDDQ>Bu?`E@A+@v*La|PH*5I}5jzaV08AO;MIZ3uE zmp97%!XwA5R>CfRy#cbi~)sgj$hBm(| zf~g;oZD#mUcPy~WgJmN(+|fNUa%#D8^LGLG5%KcFJuRWL#MRFqAQYiF5(ararnYl#`fA#_9 z2|kf=tY#)5tA2HDM#>g1M&m@>rn5x!c%r$OKT`L-{I_?%I-+KHq`QJP^-3sLsTM0% zxfSLqcLvH+7%fh>lN*KPV!%TP z(42*S`LJdjQKCy@lBeuFjw&`!x|-<6J}nw5O9wp+PX{CCpJaOKOXXH3^gz-JL@4}*>^)mQPIgME75R~+3 z>)Q$Yjr^()@UMai44)XuwWqX$a5+sf713&}BTZX6|H=u69 zS|$*Xf>$SxoVr&A7>URnwG27pI>`C{Az_B^1~KpuU_2GHHdc_AQqKlp&F_r|)q^-* ze*T=w@mMg}tioHxf056lkl*j5cs;mrMnvZ#7FtLpa^w4=7QoK1#EJn@36ZHhP%tgQ zdCY1G#$`ftePrFWK;_rdBGdSxjNg z&73re3$rPAA1N=~nu>BgIQO!0(3G^RwB4)Htrthj1Abuf+I8zbOA`MZRNzk} zC50QHH{~}arumAo9OmaYe(1zJDw9`!;)Wjk={wagVp$Kihguz|OHGOK*O-(|a z*pG$H$1fpVM%LhIB9|&@S~%kRsQg)aFwM49zR8eE!&>*@(i;>$*9>s}0MBht^&bDq zBy5j42ve2&s)4Q8uP+<_8mIU3`yAldiK3%P?3b2_Dv?SMDfksggL6TPteHaDCVmsU zT!YCHw}T<0IlE{&qF}#x{_3ebKXD<9v1wFy-+h&NU&- z^1hE~pP-eS<#h7-=?Zwb!*5PJ_qgb9A7Qtc_bHk3c!K=${*cN#3^DlXz+wH%%YdkO zT>CX?uPV{AHhbX~R^Gyrc~QE|Rs#!K)dAxzg&|`*|LUGMzGZl^PV_iwj2o8G5nQ~f9pp`q(=rcK=LT_&ks$LE4< z{wg@QE#=htJjG_2*$m+`+TCQE7v_jqysd0hI!YW+~Q)aIKGLN3J%V$ zfmnQZkCJPq1mi&3hhTTYT5J!eT!h?am8gdz>#dOfW*0BM^NcSKkDfvy4qVdC)*#(q zDuDwwbSTHM67Gmre>_}wgE%!n*(>NDD33$=!}-W2C&U_WuJ&v5r7m;RH*$4$tzADh zc190;2LLeZOXN{s?7nj=QRipoHVa=R(49rp@SdM3jzDMEiX;KnsZX7uqkKrneukvB zIZ#HbO^}O}J@P9Y#K3tV!x7Mvo|G@LMUDyHW=!ojYhaE1h5TE-Bw3&NsO8c4ZKNkb z?%g$Vj(eW0tSQNre_9(T-xH7{gBwLR7JM1=;sls!H;lAQ)syaAh3nBQRDA|a%u|HO zhwK{%pjz-&M^uim1t>DSMaXAc<8zQeH6R6dN7WwPBgJAQa{|hl7Qh2$IPFZM`d(dE zO;@&;wab1fJVmGY8BsK=T(S(N?W827NqVcXo}D7p3?BMT5F5H2{c4 zo6Z(Yg2}+n=pI26*TTuVT`pZE>F^tXfl*)yfo2kQK_FU}my+UUT0B{)a$NKV-}jcn zvX3;yFR~<%q<_rxeEC6yK*IQE#Rv9Kh#;_LfJT6}b|*`fh{(S(OP0|l*p{`WPs;{) z%49{e8C7UN%Yn}r^2 zm0MPVAT>p`JYfikf+=+ETj57=Wer*Gdr(DgtB953%)2o~ZY%qPlbBzOr~r^zVcOFx zZJ44VvQCc8j(`cKR?|j&M<;u}IK$VW9IsKW{##A)hxIpW-mQKeq|M;46H-(-Ul0i4 z;fswGDEX``O>>=%FbMj|%Z#zm?C>V+oKJBoTAj8)s|3pO9<;kD31CcGap~-`RH2yl z)5PgG!ry;hfOljGXDk42_JGa$D(a}7Il>b}n02?O_|2U=bW?5LOLX=xArc|=?Z(u` z2(Wntm7jQN9@MVo9d+}<7o48C-2|=3v%|@Mgm@RRgxW9aTb3s1cg@TjR^xf@wNT;J z^Fqpn+Tu(;*XDTlr|CrDF$=Qf$=}YTjvq?_nH#WHc9le!;U1~E%7B`kp1MAj*RF)8^!h`xu8G z-v0%aRZgk8^}cqF@n4b+1!u_1ZqXr9v;_=QD7n!aeJ0g&F48_ys;_g!!(Zd7v+hHq z!5~^0A{&&$tnH0V4FDg$U*{0KR%AY#Pm}}C56?VRrt$Ovw@E_4r|D$}|4b$5ikkL- z?y`j#A0H*ca*zY-{>pZk>d==GT7YCodr@6K`A&L+5Oja1m<233KO)g4d!!_)rFA=;2mhJXPEiv140<#tmOr~ zpVxPLX<-4D==pMou=S@YI7aZU(PxzVojKC@t(pnat)7k(2jK}xjF27sh~2lZ#p8D8mC~rgXmrbV0OOYhkOZEcBGPC_Rz!?qZ;0`-FCdWrjSnfn9Vt`0OBa=Cr_-eFaxZCsZI=9@P zbO5R&Z^{yH%VdIiI=!a8YX{l^e=0L*5sTwNpv7Nxnu!nZr!+~LUFM~h)%EE&+Ty}U zCIED|qi(T(5hLlr)@5~k-!|AflEK9pQIDNd-}5g=+oWB%`c=W|j&|b|*UcYBAk9J_ zN7l-FlpsNGmdo&l(l23l&NPU7(M;;TRlpQo8u@UpQlHFd(ImGI^?R&b04-Cfpp>f4 zOtEGrR6J{eLvZA!8qH9(s~c_Fvodj&X-1}vMW#$bqhk%>LjRTygDU@oj}XHW&CA#? z`um4N$LBJo!lPMOCDxa_K|_f}s{r7%D< zHIgL+t~x!km+}W>81e`{sSg`9$=rqw_&?J-D!@?sgq=1AQs|3Uq$fzEGcgxfAl>?+ zCOXtU-8zIOR+%CgRAsM{|Krt196guBa)JzXONgVz`H2JPLk_WLG>hu*5_vk=?1%~! z9;xcVoWa{PsrGoZ-}Geh9HrtEoxQ#5SYL}wvN3oAME8kOw4NN{Wfe(o=L{z4L<7Ol zxd8ekLl!e_s`oZdY%^637RqJ_{7;%&(C1czND$v4yrElBb7~Kx)Idl0h2+rEiT>G} z^wQvurN1oDaEe19t?uP1qD-E)9$rO}=(O2?XRU+yKJB4EF({X8=8}sI#a^YfE*1?& z$Wvn|qkpZQO)iqCIl!QV7#~8#8aUD69|MpHMWv=NH4140&!Ni2ijmkKWF5q!u!#G$ zc9UPin-#s`NCof;BqXurIdcQyoXl86SU71l zh4!)ZGy{IJ4U447AjGX~VNL!8z#fT|>5Z~@eh220SdL1WfC{8VpQR_@$9A&xj{pex zLLx05iI7p0dmjo(V8tz>mQRK3=u3c1hwMsw6~OISbg1FkHAo1#phAS=q(~cLo9cQE z5W~TW+6T;qoSbE0vaMsKKz|DfV^vf|%CZPn4c{pX6$w`ch{qDtD#Ad9SUmPJTQKYK zdJ0d-Xz}a!Xf51hcU611>doKpZvl?s`FtbuFelW1{50n7hn55?hVECMp3Gdk-Xsay zhwhKg58fB1HkKqhxm)miYQFv4pC;Z}yQc3@NFb^vvcN-k4DguRQ*7x088>kPKY+GVwbq~%8_h-c$+|q_C(ZaCO}5%a@0Y`ciJKeI=r$WlLT>Cz=q4N(_SKstXz}#= zo0U6y)$ETr)?RKx6Y3Q+xPW%Vc{%{izs^e^f`IV>sB4)PI46asiTLJ!i@iK$t@*eR z*N+n6#5_bRwv^Ry7u0wk($(ro5NstUs>4OTQvLH_j_WXuU~Ft|yRD4{_A)TR@iKkk zN0$i#ZH{>3Z97xfb(oLh$Kx?Nl*{?ahC*{1Ux=&R3!1|e9tgY#-PI* znQf;d{sn=4gNa$nmS?xW#;4wu4wG=<|^BY-VrEwXlY>(lGbO|Y)@fU`#<2@yI9i!B{&J2q29kRD zNaM^~DXj91G_KXUjw1p)dClPaJ0tc(|6Mp(!nBwHOMK`fz}hL87G~l1j$wHd{NPM} zFsd4hiiwa@au0?a%5W6h&C@E5#cwF}k>zSVInY7iBy`$6ahg@w&Cl!agI=;!)2T20 z4Y|eS-fCzJFtVlB#BQXE74g7*)ZDKKdl?y0gLlO&c2QtgRz4ZJ)qFB{;{Q3@Pgv*h zrsqt1<4Jo??`iOZc<3OHVd|;*B0M%98cEMXO`AtS^eSlk!`!sJ zupel}=XxLzu$T##WZ;Ab{NHT_Y+U~>7diSzj&F=2cVDRQN~&e7dd?WM_(hhkJ`_0APQnRyvAS3Bu0TD;Ii`ZZRrEHL=v}5$vz&?p?`iH ze4nvVo#aiM?W+CWQcO5r??>Pk`g!Bz8|#*fL;4RWKF-bww+Rcc z;+&aNF~tZk zq71UTftJgOo;*86t+8C+9JHv&+c!#=PRz&4k#xFLgmd1alK>$}q zGpcrNL<8F+L2dJDGl~|lgt4IS z;`mb@4c%Qm_ss;iJnvQMA#Dq03Fk)GGdO|E6^G6NaZ>JY7!dfUO#}WWW(y{;)&W7XH3IS$3SEDE>t2}L-_1}c3S;%2mE&MMmGBhS454H zn{*m!?K1*h?)RP*Zhhdkt+&EH~kb6PRu9-_Xan}X@ms7La%2K zFE>skDWme!f^`_~9?h~t>92H`eSbzLs!&om4f$@cLf4?O4A3mY`;_xDT+i~d`#0ZLHepQ4VTfy^{G2|yucYY0ptPNHmYf3EN} zInyaI1tp=*sdrMv=0?4pe~>pL`C2AOEwjD$ftO;CyM26Z6F$r z9J2qI7ZKfBQGFRl^t*jkvcLH}iQC9Y@!WimBQSV`V)ELnu=D|!6|-Btte6IDH+}bv z81Oc#w(LCaZEU!$fVKJZ{GEoF;+kQ*WN4+wfUV(T0W5g+P=9!}xQ@fLTS!;*VMaNa zIVx-KmapIHc0CPjRhNA(v|nc1xz%=WXgSu2|EBulXV*^+rQh7Jag1`TAtrR&)w4dA zTeItr+^8?Ji#}b(Ke^#eO0}kRr#}|OHE6gZ8JUqxwzVkI4G{A;dT>3pthntbxSOPjMHf4<@U=GAogh5W z1dYiRF`&Zf{ElPz=$m>-X_U58-bJWz=XW|&tPn{K_LR#r`N z_a%rJ$;3jG3#*tS9Gwr-y$MEUldOJ3!48f{T?_q;?lCV_om3_9 z3`!J^vGx98y^rLgy^eO)`54gC3pe-{fHs+YtQ+@lz}XL9n;6cd<7PuhZ1&qY#x&2$;4?2fB8G=}@ zrEY=ZDfAoN1q`|Fz!TRo_{?+}+6)WhZ@$`99g}TO`IGDQfme5(DZP-adPIz~?&3(` zpg%)p6ZHj67hrl*+yt@fH@F`h0EhQw894gzgm987*Y6x(4vVEQh;gqK-pdcNAF#{x z(u($-q!kCzg>W%ZQLbdl%38We1s3L$b#o(pmO6Z>jMe*V;<=Bz^3Jni$4l~CzaG#p z(e1CCUNg`H^iyP-tbjbeQ1xDQpuJ^0U@uvN6GNPqfVDoBB78i~D#slj zOVv8i63*%$mCaAX{9dNkLQ_3rxWm%ySix-Ch$I;650^UX(0z{Tp_<>FS`wl@?< z?tAPJh`=VFkhnf}?%#jfJy#dmtMe1O;vk*hJuMH3Y(eXsMve8G00L~iB^9+!8di9M z;nf${l1wazX2{bdkHNlS10xSWe*0(YaH<>EAWW$PahT$8IX{B_kQYuXjSeKuWrnyD zzG-wxk~&0Pcic;Q#3dH_J!r1m7R~~V_^f8K0A z))>397e7hk8Ba`z-F74{& zQ>+m{1Lg8N=Dwal$IWWY)-E@)=)Qj*zNSug9C#))?SeD51SVUZCY_jB*I9_4F8#PZ zEWc~CDNl~Ba+008shSOEtHwFko4x@#nSd|cjxJ^CDZsRg+sDM0`zjPbb_!>m5$@;h z3O=>*&UF_Q^)+~5^JE8#V_yO`)p%e2Q1+n5{NzM-T++%c^hk}Hgbhw+674_-oEtgf z9(hi8xOmtr)Y2MsjUsWZ4o48;3|v_pqMR|p>R%PCB0_^B?9Bbt$_q!&mIHv1I1jou zvMYKLYi7%)uI=qC&8B&<6@rqnRv&xlo?#uxaKvv~O#yYSSCRMA)r_x@Ec8jHDv2fR;TGp0ly}I!qkgNiDl^=81V->g}YUrxRk_MsoJ1^-6DN zp_tEd7=+=ZMm^eyv=@M*GxQ*8u0Y><^6t;=F29tALt1~()XWIv?II-9M;|bWF-0gO z4+0`Ut5jZ_CF>zB=KJ02afJ~7>xs>v^rz*trbYfJiHUv6Vk;4@cQfF_$6MhXV=OeO>nmXW))d%cY@iAtWuQKe*ej$Bh zUbsqUB+y5!_gXL?RX}DZ^-F?EPA)!H+)t7IYgL*kSx+|b_NKk;jFM%nSXru%HoQ5a zAKlK~lh&Mmba_IP(SU=XM%EomYvKy8R#HkPa}r(ZlILLF72j@lZ7FZAA+hhstyX_1 zq;PwI88(V)y#*|kYt2rms<(b}zx3ku}_MZJbbUvOFG|@C^E&xp`+5MOAGQ>l&orYb6z43Vg z+j+Vk0p{+FVT74V2b~I@${PON&P5+Z4P>hf=OhCl%L7}^+cU=9$bZ>r-9;N|HwO0m zz^os)ijgv#SO_(HB#~71kpznmc8nxWB>GU`uDa02z91N9foZ)ipnK)#t@GsvXo3X# zb{|82E08#joeH)#+|=)h=-if>IrUp3?hDGWpT1h@>gbwThttjT#=aF{pZe8xr-;7X zPVxw8W<}Ih;v4E%l;m$RJf%&{b5ONO9JN@1Pc;>&*x`zD9m329Fz0|4o4!Edd~5VM z9|cve!yyliC=b$jYELCyClv%?sf|dnBcm3K8-V}rLF_oGlws!~W+IDdvkv zl@4ubD}z}ROAqzC-Rf+fWx3qiW*hmUwAqQPK+gB0b_o-J2=+6x-zgkrHo)LGryk5JE*Z;}!f zH^mHV<+fzLgr#kvNEIi2=%iIzsFL(D|n- z7EuXtCk2{Wmhh3FR_fk(D?2nK7zxMV_^2IwlZbGp&z&Nd2=?K*PR_abBFN}E;YMqe zpF35v2rbk7ou<xRt2j{m~pr90!?cF`~Z)LYS#N6TMoEMoaJzbt0kMoe}hm>1~%% zd6~(OT_vZT4e?f}jeZKJ0tm%EwbQ`Bhv9@jzVd+@>JA$mDY=ZGLDxC;V#lDAo2Kh( z2|psCLTABg5QAlWTv%uPi~dCpFlQPIqJd}y#ULDCpc4w{rvdcjR9F1jU^V`04%LY)Nb9EET0a8EE8!4xv>X^sX_M$s$bASbX6!y`+#c=rD{hJBxOgoHhHxJz zSwsp^s8tEmrWZ{PF`NZR_PebKy=%c#jQ?0sm6u{Whj6r2DFP_;HGUagmes^%B);6N-VlU}eTNiCHu&hBw zd*xY)64WJ+Gz5x!1iqo!i z^$0;;J(9JEf%;1UDU2QDS#1S7Ji?LxHi8ICx1=5z{o1(=AHJifd~hC%gdrVQF?;B` zO1d6mq=KJ_gT$Ke!w>f^zcFeKz6)8+?r%3xkcjYFH|Yk!@Unv_?22^H;2H8@cTTIR03{O&R9fKz(C#Z zSS4ouY;Wq7*f6TwK;LrVxK#AC<$I2zvnb!tAGMBfOW$S1iSFulYo$kug;r9$Gmk8* ziag-p%Gu(+F2Ad{0rRIxdr?GxC;M&`v*7Ye+sb_MOaWs zU?$}+A+(ja|yxGc?J!w8%TYniNj z>!{!KwZrq! zWV!Uvb;OWBT`k&K zLdj$x!=a=jNi~M%%~)L{{)`!J#Gs-(1iAcy@@s__m3dZ8*M+0M*fa?@yd&@#D4Kjh zU{jo%LbfM`Pt1)40afgYFDfIcn-mVxviTUxNpIFYt$J8u9m>Gt`%7G6UWi?d&AgeX zGdnS*u(+8-+_7q+iLBvwt}v;m!<41>vk4kE!{`Mq3L`m_8Kc>;ymw9 zyBb>w!M^AZXe(~X@CnWS7FZE?K*}g@XEKgv!@HT;oZ@UN-uhlfiG4q+M+6JfR;!4B za}(WJsv>RHtgYgug)-%Ea>hR0K48}GI7DYLE2Ze%>UC?ntKXUc>B~{5;msF4xpCKH znQ< z6oX!zCGKMHcsvpryI{Q43`?F(yB;i}iW9s0tGAxMLmY-JB*E=E*8(OwpRUG|3o#pUS{lqM$fDE*M)*pP$VabOF2Cb z`}m@z25hmc!GQ(>WgNy zSw~EZguf@C9S?m>NW=x#mZ{qmd|vOtz!b(;_32=mrFexF85KRonWBY;zr&E&(a=T1 zb$!kI%*AW-n3<``1C?<@MWT>i_4k*o6RFrl(6wu z!cgLguhW@Vwqr`Yu?k3^Df#0RGfNY`14?BS?_779@-dB=Krf;V)c~O(`RLY9@gK-T zp!_?v=FK*NoOZ|C7x-awmJx;}%d|AmJ($9p8<>t2ViT3pcy#@wus=+S5>p^rno@VP zA@zk*f?<+u3N43bq056DiH_3V+w?DwGk&A?N*6oQpqaCD5p($#{H_DrQKEjMvLj}x z*7$9@NX(n=0^p=l1aixtfGAJWaxS8xTw7(FucjAggmmDEp0Kjp=DE54&RAi=(K>%O zfUo!q5~lIsMVR&vFP+M?W;ZajWoggvj%b$FBhWu_E6I~;mrMTv%JRx%Z7O|SflJMx z=jU+l`YSrcm8NfMZw=A9S0j90AY#s$;_7t`N|gD;abB zA(!IOb`xw8O%`u*P9$y_dg+fb2cc#CRUbqgXtM4_=q``&vsk^(jVqo|~v28k-{=nRET9rucRjBW)Uoch2B5Cg)^=v8EY5`-Kp^|B9gF^^HXLcoC^n{{flc&+EicabR zNeiv`d>A~Y7}DBFHC7%56ye2zp7XNcv?1wX3yGA}^g_OyEOx&X6q|)b!6?-Iv%oBX z4|+weHU?5RC~p?}aRqbYKCn|r=F6iF7!MbC_>2T6yDbhbo3so-Eb3N1=8xRe+RmqQY*$dcSWvzYri`s(?VF{st+ElxpvV3|(w2$O&H| zR8Wzc#9*i38lb|a^-%5&R%yfhgPOMyaS#pHE%@xd21>FdE^jOU&PDLkl9_-e7r<6PIfoPQV5;`1W*YKyx{}Feeg~>y&O|ZflwQ3xWdZcNoHb z@9c}xgi%wBUnm{}F6A}vaUii~9wO{F)K~&mAJT80cRi$91M>J>n;gBMFNn$J~x5eKy5wGPc$x@dvIvT7R_t$qnyxh?x z*1Emx+!A7Mv#|of6w0ygWv9b=@K>+I-1A?gBq>uM)15xicNTHX zaF=LMYOrk(%nXUs#Qsc$qhC#{kM~YDLqb~t3JS!Or$#!}TgzNTP*F7~0`Rewo`%^I zo=0AN1fed-yHzP9mk5BwJ1XrU_x?^<0?bjHZxg$b!#TU0yO=yj+`RE{?Tc90-@bLD zC(#+xcr+|Boi=q2x6{blaISH zmx|Y2sh5v0{6F_Ts#Wl*4co7t&L0Wa1!qp)G7Q@V&0a5D2Q~qVDCtoO>`vI0prMLS z#=;I1U%hVRYF)2Fk&ev#T2CoN`(}b_nl6#P2m|W$bBm0#169~aMq_@pADiZQ_Ma>? z?nz9rjq9VLXUI)n6m7B<|Jn$zDDlo+=Cp5j1{`yc-s_ zh3aj4c1b0IpZv)GxQUEpGaz{Xsp>%_rdPSM?;b;zh0>0Bh~RIbwHJrdB)2+!Z?7Y< ztNo-x5^C5Zf?aCe-?THob#=Z#8pP|pt~tu(4n**h8zCp0Yg-yso~}o718!EMg2#t1C={2Ew9HN5rCQg zv`ZQTFc!yLnW}%f1$hzWA06`av_GA}ugpc;wqkP($?BjO4c}AQKzmial(;mP4E7gWa5*N2u*{ z{z3_MFoJwAEAmiKRywmz!Nj@HCOi;R?QAUq&S+PSW}{&@eT&A9s`ebLwKiO~93QL{ zjr}tALgWc}ET3?HbiG+)V8o7=5);?|5;C9tBl`9`Gj%2W{)HO5t6uj+Fath}Ng0xO zAR~pT8?W~(@8p;U&(|h`NKj5GL$I~0?S(ar!*Yx+Dd}H2GWc#TD9qgpZtlLxcCk7M zw6{O<6J#4r_rE)OPop+%)*E`4T7d~aO z9S@LyJ3pdY`!U|upVjL3A)q@}eMU9TGz*!JiM!qJtz2UmOLEbRa7jds7RdE(Is!0{ z?0sMU@y{ljT{!y$f+_B5{L0nBaHtRt4Dr-`kt}{sW{XT83@0=#vT^yl$)>nekh6G1 zM{g}dd@yt~L05DV-(p+Zvi1+ryx!xPo0uIO#e zO4#@A&wO-lPPSY#<{h`!l}m*Y^U+@5iXSP69KE30p7NBY)u+B8#i9>&F0`%y0bN4U zjiHf*r7*@Gl+~(BBY5878EWwZ#OrOOsQTm!no)2{0Z+K!pi0&xYlCfad<i`GvMz@T1^1t*!VkX_A0F5Jh68o_|Z|=1OZd$)iU_xMPyvK7_(b|7^;*l$y6^hHNj0#fYnHbZ8H;vk*9gUBr=Y!8ZMIV`iWK$ zs!IDxheI3;?I)+rxwe@q&>!sz>8WbH$|?PXq4|`ZdW}w<{S2E(jE|7uJSsH?JKeFG zOC$?V9|$keI#!Mu4r{!ExQYX3YVyr$Pq@of7`MpAE57-&O|`veDW~B5{SpGNtjoJxNSE zRjRdic>!|!Bj-wOz92p%u%Ri!dQ-i1v?ftBkS%6Fh_+_w6#~xAG*74)_eoywwhT?1 zTn_gOCUjP@8yzDFcpb28Z%8p;lG9qAOC0=eh81B}5s?&4cn@dSG~zTzIeL-8%j~-+ zd{Mj7e1oi(?E-ol7G+r~#_7D%%E>z1m#dE9^0Y5V3VLbRf_(MDsny^G%7P&NzhcL}gWL;@kK zi6;g(K*;4{u4(5(@eQRad)G(SLy&ocijM1@Sj{a}-_{k9D?dw3{xA)?>C>N{m0p!? z&dSOiYnR4w2L=}y@F!;ZrALSHu}i!0&Ajki|9R61fI5+E%|VgX3gzhJYVs#C5QlSO zv=<(>!%Ltw1l;Kdmoexn)z0OpMOn_hhm%ltCC?~??Z4m<-y3q@(<6Ux=4gp#JVogr zj*s|ApIfkW5aeTi|8MGKF>Ae=PS@o{0J##HO8m+1M2nB> z`DiGb_)rROdNrPde;S+_Cib>&du{_;?3cY^kC%(5Y2@oIAl^r*rVpmxbLAgoc*41s z`9B@$o>AvB$6LCK_tSd6P^jCrkQ1MFVtu|N^KT~LInZV}YS97=nq=m>yuB!q*SkXp zEHZ-DDC3m#92mD1FD?^l_>-do| z&fg#E?hV(hkr3_Xt$~E){&F}k7QU5Z?q`T-!5sE^m|l?7MjDe&>wy~i7`}Q}LH>(f z7w1PSkev9eFEu{|Ns zj9DgT1UH$l5l8M7^xI)iuWR-mQkUY*iKbZuQ;MuVELv0%jvV@g6E>{x5~fq|n#6<#SyjN_9Fd#3?cAy%tdc-UT2EnlVHa(7io&1Lv|PXeyrTLZJvsJ zTlJs3L*VP%lx@bmdx|S4ypBaN(zACTDmz=qD>+i?P8!=Jv_i|lrIoo#y9^1N5!4wV zA4bL^PB!K}CVT^~^&@Ts)6#_xnH3fi>|30Uc~Zt)Tdx63Z{pHChu}9*Z(<;0>3-u! zn(_V4DtAU7$RUwusrM_PG6;W;ig26?SWqlW$?o2j>__H2GlFqEcD-V00|X{qJl2ao zC){wEPurdh89_&s<k!HWhai)g?yMUJtB-Xm>osy0@=8wxhDw4GX&Rs?{10NeY9g8>o|Ya|HjA<(@Qx;abG39Njrd7Y)%78cmPu-wu&QBWmNAfdGf}yN|@c39%1Cf7mbx zGs{44n_DND2dtC|8q*3eJ*=|533m&@S;UFZVMDNM_qf7|a)P45o8SxmESu9l4;SR; zc{fLvid;GedF;eV#Py}R_)Q>RlbMk6?ixZQZoLJeu5|IoFYXN{Kcf6Uct3G>P|Gla z?u7$^>Zdm)LwF7qv7GOiQ;M>LZPs503f{jMM5J)Oor-C)RZJQK1T12b(c%L9-2^vg zpeSI%bK)1%*nLK-YKQ)RNQV`$LM-3sL!YnlRD;N{troInh89jC?x#sSQEG?lLh5Hs z)Si{yC)3=$gu7sk2xW1Y$3mhsn5|wABISQ+njbh0{csz_i?J;Am^n>H5}Ud8Q|Fg` z95n|eB$75zflvko@Sjr*3r%S9J>=HkW{#%+8e4&0f<5bsjw+of{``cLPVpiPIPCd3 zfAM7c{@Oz6ym)=M>y%S&1a}-qPCBCT5A{PRd^Tt~R~pEY@+jPaCUbTUDSNw3Z|KTk znC$<=%10-5A3_H9kC9v@A*e6uH!lnt3d%5UlG|f~gto^5UWC+HYl<(C8{^?pqhQY&+wkH$UpV3Er0*K)b$SllPS4IcT9af71VhH_X z2>j&%+j4K51Jy`w+RCupP?A4oKhouS$>eJmh1OivmV};u{$D z*#|7Tg_1pM_{Q@*bvTkW;>MJyN&=4#ro1d#UD-Usj=y!Vsp)}SzeiMe&E33o+)8}6 z5fL}Vdyz&SJEHF3zd^9nuT_TR4hW03>FE6eGAKT)3%QRGT)w&ai)jlw^e67a_y5F* zXcqtCbwjavOZ3L2iGWrbAhuZofu~Y!)3{q&7x)tXF!wC&+}8%i&%OC;t?t^o5Vo5B zl0jTT6Mqq(W9sQ(Fxf869!F#UIAn3hJ{}i&{zYa|hL6vA16u(`au0EMnU3}BoxlPK zq}JJu3mY2%Hsg;k%K67|#<>Vuk5}8FP3$W zxPJQ|$d0eFW=E`mlMkl-!`+f*a}!4CZ}cEBWAiPeGaevunrp=vit;6VAhbb8hY;$0n8Xo!OOdD8V;{!I(Fw(PhfYoJzYX(bvZHYAQ2vm5&){==upO0_*9nx zmn*&qY7|%r=0cU;hbuOtouTp>Jq-=~y~8*h@6ds&BAyT)?1B@WKi zru)NFd3xJd^0XR^dN!Drg7d1~FO=`h>#ux#&{CtpUk^LxtWOTe*Pq}(0}f6C>Nq;s z|AO~>^daP>Jb@8)b;wdG>tyMQGhzbW1JL0V(8e=Tj+Sl zXQq6`!nZx&!XkD9o!);pU5c@jS2B+y+utC` z6Rn@WW83xylkjpy>RR=MXm4C%cbjfDaWgoC5Gb$@02-P9Ewa=?}~P{2(^=m zBR~49I(kbKWUBssVDHnLLfDC#Y*`_y!T6a2<$_mBRY{}&{tlC|uSd&)d$(#{^bH#< z-cYsEcm+^7Br(PNVu_pFblO0>y^-`{8*qlOGSSJ!*&mV4e`phj(|aPx^yE`*VukT> zOT~JZls1p+JR3mqlw$!wenw!5PMlDX2l6^^drUN(A|O1C|F@`)&OTR%;Z}h(}=@>+sj>Ef(Psi<>MC`aBe6bMVpkXGyFJptNsS7SmB@-lbC>} zs&ON8RW_)pR4HVVY9R$986_@F6rC?J`V7>4k@Bl?d?vF}VW?T4eJ zYv%7a#Infacuy>K2~}6;DMDL@Wl&-m`T*4VW-*BZ&Gl1v@CR~+=3(N&*xu*YON;Z6 zAAX1IH4D;|1;SC9*Rg=UZa(_Yn{b}$3};I4`_Y+&hm z7TG(Ut78>&a>yIRa)0wL<_`$TsNkP0)jyf_#ZN~edJySxu1b(3dRAd-eC(nf6rbDd zDw^9_WgCa2cTU!;c&ZpHqz}Z$cc35L_Sg92F5pzT7`|g~VYbU{`tLn{6YO^LdI>%} zt63vlUNj1dEr|j1aH7=s2y!Wu=LDXAf@qRNJ24FG!?Z&kpZ$`2u0a%NMEd@gZM{Nk zqO6N%7c_>VKt~^$gg+C+IbA+w_q$wB_(%5o%Ee+H0*8}DaKyJRgf6{70`b->ktk|; z5b1;bRfgBSbK)EZzgstb3^^TJceMaL-lx;;ul5ykTd40ics?uYA}fhZ>Jz|hdVma} zwxMM2^{(llc&{jhRyK%xmbYzy{>x}MzZb$ zGV#EM0}3uOcU0`~$md70`a+F_9;$i$Xlh;z6hp_WOj2|aRE9j*BVCZnhte%cQK#^M z!^c2;2xH>`=C~4Am(qZoh+2TFDC#MTXZb`DOjyRI($V1B{}8lK;IB;gcwxO9l zvo`u5fje%kw1D;Qfr)1Ze~_pBE|UZV!>+mkc(io%2hTrGxUfrK>&58$w_GxlL|7Th zls&iz28=%sG;jhi**MVLb>ax4!wH2L+|H?uF*T%Qwjd6ypu_<}Srb5cv)|x9Iz_J% zPlgt`eqd49_3*y|aBrP`q#{kt68LxjDHXMV^_`~xtmi5yZDw`Q6g<%)k;g<f=vP8T78YFpPM`6S3en$VWF0l91o1N0xDFqno-s8^%IE$Y8n>3 zbAGk>KHzO<>#Ep7gso_y!}UZI{|#mJl7Li}xrV2{1hX%x(zlc;g>7g@N`)U7Eck=? zN%(uINR~lkt1lPZBFD&rvBl|SaI@vTEw9W!RXJ8dC@m|zy`%*2>9G=+-pIhw$%a3Y z@#7e`XVQ9nA$hVrvtY&~2a(1O)+8fQym@{DS?`Qu)x+XSAmmJdELaPghp_iC0(XKO zg2|7z{FR2dAT#7bjT^guIljkCu^WLTQFdh^#%d8k)ep40NsGAh%hYTdE=n+LJ-OT| zO?`YC-Tm}1TMPz_^eZJhNDbB!FP)aFwY?=clxfJ4qT1U+@nEy5r|%$gBOjH=@W|wZ zONZL(4UOZ`?OZqZGJ;MgVpea9rzUWc#~Rz9_^(f(W+=?Ktj`}ruUpa z<9BbUaZGH~x{`Yw!~JB>xg}BaS+rm<55Fxl6n|TAR`XDb-(QPkpC|(k%)o$z`CCU6 zK?4>nQAOj6!Zd^LX#(K$J8XD4iVq?OX*CeMs7S!|{*<|<+BQNdFE~9R2mT+Db3tUcyQvuzD#sdy-$M%Y9~?NGXGZ2*cdENVGAk zvAHPc@55!RUu1e?PAO$OeT0w4N-3lx#$}k-|_3{M9-bGq7OZ6Jn)AF)C1f#k`m`sqp z;JwaHGDOX*LXZ!~yfV@pc+-yC=DbAh&Ypk;?JkPA_+(WrG}7CgCSRP3AITM(j4^BT z&+dzUp&Boxg#IKWf8H6Nx#AlZtF3AwjPm~e+I})3+}Hm6+p=B6?5Kc@HAK537|ccg z$k7%cBSnohWj#7WRfG=N;(4x9gc72Ao6>`*7=cXca+9DiMqw~4%q3Z?7J`X`q8 zCtly_@!nB2*bfdOhA3ZJ@9-oukj+Vc0UCD3adT zF*R+@YtC{D4*bdVYQ`u{m=pv9@xDSL#K+#-xyy*&{$v<}hd0b|_JV7#q z?!%C4Ii`80HHh$lQmETT;8`pta5gM?`<*>jNl^5HNxZGGn|&~iW6CjD{I0TX%&ZnZ zBGX3fXr_Fxy5mYTq^Zu|0@&~}PYqimtJvJy!Nk2I;&>PTz+${$4uv)#RTPCYAB?6z>Qx|#3=UPLBe`k#z70dpJ~jD_RB$to8M z*MCb=9T}I6|Eg^#;>tBOJBTwLdZpa;q>{4eQp%lcd~-P(LRV*JsLIrMx&@=L!*=`& z8J zh`c<~b84?xJG;naQQyc`(rdBMzmR_WyAIrhV6LADn7=F9O$+M2?}r(b62Twg(MoV0 zCz6VF>@ejK;y0>D(!eFSAnIpksT4(e@ccyRr7-Sawm1&NWEzVSjzB#o<9z>(DiIe? z$N60E@Ehka6DI;9XcYbMvn~0Mw1Rs67c8h8EGwC2%_RNUgwkvjMHEEb4@3nCe?%Zy zu<7}D+j)$3;3QY?#pJs{R8%OGr`X=#Ak~4IEnVH%VM;5IUPTnZvX6DY0`#FP3ZKK&7=6+ImF z+tJ!oPZKz_ZF?qUkh(5&;iC8-rg0#7C!U0Ij**RCur4d!iyQ+QIk!tD16P9FcBO{Q z$%e=KD!q#L`EoHUF8?<6qw0bU+y+jEWUN+wsP1|63MWY|M%mRB3*(@-!Kg`B`TBTA zNwt2GC#Y$n*#};mYnen(tDVjGa;mhE@BJJL+pnb@NloWb&eQkpXz}jm{x5(yH8CjI z%bZ9e*YDoOJwHJ|5m5#AeU)R0u6Y*0jVmy(_~YTZoD2#QIhZ<9!fyF3B@T9&@0ZK~ zt{Zxu?pt`rFqlQ9ot|Y+#$P#0BTh8jLD!X-1u_DWjo@g5H*@BJTHMrR1pF_7Atz=Y zYjV`0e(ku80aT5QSz%@?Fc5&5%LDE#PJ*U)=kkD?UWET13L-lW-n{<@b|%+Y(5kqc zEtsZHX0$k3CMU}n$uGG~2N;&?I#3aGLi~foK*Fe(0@|brNG$F2T4km#Q#Iw`P66!w z`wxPhfKA%&f&t}?!`vnu*xukDN`|Pi)IH;vzp*s2p*!?^TU>>Oe-r{CSSg3SLW%2t z0LN5FpgkkjzeNC|Nw9%iQ}gA_!1@VnMih>Cc4xiu!?phUeEN-~^Q8fWICVi1>_Mvd zg}2~QlB4(!dU(Th3D%7#>6+20BFAYxoaXy3sEs@=(m7?VEVZRo0LkDWW2&=(J5r6E zET>P~oU%VO-gbTU+BpyfPxawHD zS*?5^jPehnBPb`!_3Ig>BINqmXNuwNhv z74-*y_wPZVyy;c}JZhvzaJSbufT;AF&#wh{v+@aMaqiA`Y*v8$_wEI0r=pN9e_I8< zGk2h-bCOH{>R~NT?@8f&w*!Ax!r*e-ngbs(Oz{ecX-+zfcYqF8SQXPp-A~4!?G*yM zkBDTo{Gz-dA6->Vd2XB6&gT#{fwWl=eHf4NS*-nSMS%rQrke-hmd(UR2FY&2=)Yp4 zlf_~+J#;pk+zx;RA;4*vOVIYvV(HnjZ>vEg zk)Lj5CJvZiJ~Y#p%J=Wizpd)C%T)J%&}Y-4lI~?^w>ksLQ@36_P?__=E0F;!;9XJ! z!SV@q=pFVINQ%7v?pg31GigTPbE(Iv+c8wgM@HMIsik~@Qr{T|%xH&gTFh6Ig4lt& z3lN~~-}9fd=AtL1Qp0*eq4{H=NAnotwcF{(GQ7w4Q#Kj+$dG6Uo_{D%0tC>HAq?0W z?P5(pE<_5wG$wO7tYX6~N;tl5W`p0b>me3)d^_Fo14{EqVYu|lV&!LnG9tBmE0oHf zDRq{pS|3k0xPE!}FgG)_+Cg0InSKMSM=b282#!>)bhK$vn7we-aQ9K*=Gk+@xPoIS zMtvGfxa)-FvunvXm03b+ILMzkW?syi)B$#Y6R4U)0$_d+R>+k-NGDs@CJq*&mT}2%(1$R?mVqEvKlF}&C412A=)|PU6HCU*i z+a?Nq2}dZ)@C$~>LS=pmTxYvxJ1MM4z{uZI>$qy1+vcv=?`de^f77`=M+_-!Si%uLcVVkY2pu8@y_aPyft=tF>4XM3`!Lx znJ@*q)>n|pES^cmn!l(iCCY5V&uaazm35?q$Fx>moT1%ho|^P8ez?5$ko@`x{0n=zsOmaLeWuU!JPIglvi5MI=@V#^z4$DTCLlxIoJ6x{LG7#s13wI(7B(6_NfX1C zIy>neguX4xC_*O6R=DPJ@XrhYhve~skCJ~@$<&G;k96i6a=y_WzU0qQxQqDbCRq7t zt|noSmr?nai+RkeXEjGvXuvDDy_-+N+=xd$7j1Y%0};E-Tm1^yGPuE~H6Pdol%UXa z!G*r&`G?FgeU7{tQ7(E(&>2v0&Btaf?GGU9+)p(^{_03xNfj&S34D)$`9P>?@5#$> zTP*gS#@6y2{7(-7s|c=1Qr)GX$iekDdrsALe9cNt=4t=;sV1LPQvO$ZW!}V+*Ay`~ zwZ{hsMos=Fh=nDz%@)jt3kd!4wuk6uj?&TcroSPO>Xt6`+il_Jo+Jk~4H|Or-Y2iz z*^h@cpXN)PtM=`D3k7HZDG17a)>*V|QWG=7rAiPiPgC|uVoj_FtjzaLqQ`;<={FB% z=-)<)GH{URvl>dj9)d`wgnaBXDw;YTnYi>02X^+a-6uts>@Kk#(Zr!Q5{9y>6Uw@W zA*O95I62TWr^68hXMB)07ziHIZo5XDCO}np&l&k$eODiQ*X3@3)z%;A5xKs@3QEdq zM6iFt|MFAywR>pp`w)3GvM_<>$SZ(3JkaJ%k6W14N z=2%_WA6rpiInXEz@WoNO^@JCpsJJof;Y+ST@MR$+nure5(ErXQ@LFNU+SsoAgWS{M zD-#Mk^TxX4a#KIvw&9KarkeC2=M6Sqdt{B^i8bGDwNZNaAQ+5ulf-;$Z&AyxTC4i` zRow7Hzk2UWuQgaI&Nye`DVX<`PM;23;a0`t;Uv$@f`w^;2?dnQ)Si2%(kkZ3kVheG zK0sb3Fh-4apjb4iQxSBlsy_s7R;nO}DfwgE-?9Bf!RPNN?bXey` z1Evi~FZz402BV%ym949h^)8xv7`5-$K%QnEK?ar4Nb3?$$X7Rvzn(HkX|)o~sNL&m z6(jRUUtT8>EKZ)cLXN$OV|?D;U+zy11PX{SgW*Rz=3Qc)qG(dIio8TFjO`LrIy-!)+=J)f5E+cjUZoYySwF!Q2VF#U%~ntrUAZ6trY^xa!DA@R2F z#|IDSl{lnk2E$Z6@Kr=Eb#`AY7isotUU^Xd=g)$K6|{xBLME4064j=uOG@#ei`Gxv z<5st^JEX%ly<)elP3=c1uZ%%CZI5)VJYC-r7cED&+&{-0c4`Yq*G(hBM@i&GHWVLw z=l}*~;6G?q~%g!uhHCp5>yp7_K|KuZvbR1Qp##?NwWDk^Ux z%qk_0Cbvdsen9+4F_tXjPf24XWv5zi4GUPJ0L)5F)0FR;Nu*U{dAc zAQ#LNh?1`58b2mxWE=rwoYq^C^1huw9vS`&sMtX2S_7r4%{u| zoh(v)`Q1C4^b(ni;Zug%rwA8bd|g?;J{hTUfQixypnU;d_Gs2ygH+g3fs~erm)fjF zHK>5@WO8-Lq>&e36y1YA%c>GC^`L=PsmE;iV#v(w7l_w_#R&BhJg`ta@4v9U9LK6$|74=4X6X12Q)nnWG?qW-)yV>q!i zKwgf8QVEh{2>C2akCC0>Evjj~dfTf8Jw>Ipsk*8axe+`0RKd;|b>OA3k!sa$5O{W| z<&%7fdonj6GUZ(_y#2BhcrA!65s!J(S(J~g5F3MOIK%4FrUnX*3lIG}VC=?T;BPFf zEO}%ZtQ|Yean=bKHOg>9TNX5lntj(Na6~*$>@FhE%N`#bl%t)$><&p>3FA+XfAmB< zD^(g8cS25v#@d$-Q)pQ%IuiCOLY-)aaIp;kJt|HFW0ucN5(8$4mO*t%Wh>7`;^Tuk z23{Q1uDane36}KP*s~hB`oV1VC>%Ek+cGuY9hTeX?bQZlIoP`X{fbp*@4o0K5M8l= zP{}5WqqV!bBIP5gGVyDRkN$h!O%W7M&LpK*Yt|_$mOpbEQ{mnbm11>NE&sCE3>0Ns z1s|Tf9}b#%F@H`^{hc|eRn%)7`AG?^Cv+R^F8TyV5TQd{LaGw+ryL35Epg0#P6(+H zEAyK-_s<3n?0e5M3aDxe7h#YBK;v02N}RXC#5Cx!@dXaN6Xy@uGgJ8r>qLD$T@?vB z)J`xwXz158KL%TS0}VdkScG6&SuLw{JR>F!I}5=#Z7)moIL#k-#n~j5W?l0<7}?9O zk#lVlnai_)Qkk{`QG6Y@->&a}} zFA&zV>>A-gOgSr7L}`?hS6c%`3R{!ieatv!>`T}PW0Z)A)&AnKVy6@7JVIdy$&4Z% zRk_eG#lCpzsq*)&4#vAWK>o5;S6&hW_T#QfVE)9Fw~*QN!^q2aWYcW2XjdtPe%v?- zvzTu8@dx3Ab>X<^?n$O8D0$zBQ^e>6QUb`Q{Ul9O3hvdC1bBy7l4_8-T~VZ(u3-%O z+M=7QI@j;SeL5BgfiJ=ur@?SxKo1^l5M$e!#5F_oJ4FLnklgDsK>I%|ol|rs(YA$S z+qP|^W81cE=Z|gMwr$%<$F|d9cXV^kxzF`hqeiX0=bUSP5*T!s?mPlt-ps}`$1UR_ zy^O3V;&Wx~-MR+OdasCS2KJT7BNg(_=iF|}ZCe~5zFP3yDAS7D6 zsJ%uK7D1%v2bLAAjp|RIe8q7%9Rlv*P+5ZHzr`%i zKu9kNobLd@6+ZGR2yH;|Web`_U;79? zx4w|)6a(T=GGd1@vkp{I^cSF-*#ALM&Ds?sin#;w;`mGxLI&VbYF4}XT8fXLBca}~ z+8B^y4PmXg!sKj+AYwBaA@Eadeue#hLqTDt0*~}d2M)}^(^?qpAO&y4Gj!{XZyw-8 z0SO4Vu?R#f7lwok&kpd#4=h}(W~t!9#wECv4-uO0>ubXf8A@QSdH4%vF@FEXsXcXI z`-u)nf-r>qnkv3QfOTG=0-=@K>AGd&V%HmU53aWglp=1lAI94H1o9?|3f-1Zqxigm zL6L#}P=Vl(reeKx(ZiuanW|uowlAPugeri!>-DJmHI!6QFJ5qzl&s~V8QVjk=igb0 zI!ECU7;g7UY0Kuk7Cice=py)$@xRz+GUhY_FmrO@6&eWp|FbHz% zff)zsR8E1tbPEvYh3j^{GA;>rW5`4@`cm?jU;lD{&SK6f_SYpF!6ye1zP_w@&XQ3O z)d3Lc7AxQ1+`QdyBU%Gki%KKG8+HRBM2*rQ=%XRgR2lTaSNHW*+p=Xrp=H)AD#2J1 zMqXE6^|JODv4Bijtq#|$dQ^9=U_;@sg+31XOpB|U$*5G?z(^X|$J$EhAdjQp zUx1w4PnWf4EOOCNrGgAmOola!-<)ikL*4Vh|pnl0BQyR;z7@sR-qV zMR7P%DXF3Y@e=StZQi()1!{6Qt1+nwD%4++K^5%H%6Qg^uJvZN5~&a>oEkqiEm2Rk zm`_ogag3c+Il3!e7^tiS(IS2-e?&p9G8~g?^v{(_q%Bo6ywEayu$y57^;B{o;>Gs$ zMP;q9ATbY`P$CjY>_+LZ50e*d$77W$1|-8z2j}^7x#%gE0|o_Da!E}&SHqKcLMj}0 z(rKImXwjsbP)@)a0rN=q2`#O~KcO`dvsHCPe=;@Oba-PTLh=deRY$`O=}{Mz_{d#& z2rytBYsy{9C6Gd{Cv?d40^?e8L_IWm-C#kScg}78p68Wx{oqyf4sO%HXn8-Jd=(I4 zo1*CUVa$=WMV3ys)@b6HTFcq#BxPl_W~Rj1kYr)TJmYN8uluj3y>_Py?hxW}v#v9E zYF^qfiH5{#Nybq5&wbm>BZ|sUFu1td4M3{!BmL?pf3;-ZPzq?Bl$nuHW|_g4Z=V?m zu|EB|_#0G!9qG1j1gL5q zK}86}<2{r!iz=Ni+Rv2BBiNrtazXEVi2?5z-+tc#t6J`aN34O~=yf-?i*Ybt_CGlm zLnu4#mLd_(uOKD^&2hX{66zwb?$Z}exulXLvQ23*DmIEIHLRjWX}4ME-eYKUa|5<| z9zuIfwi+RR>FU^WfP^Zg=Xmag2e8#~Zd}2uQ`5b50x4;z&tg&Vts^zB0+~D7VWV$7 zn|rVk?{U>C+`7B?=I`1*7F|1!Jdizk?{y8-z?2&$Y zM|WQTcfJwd9hPBv(7t)MtveqDmp*+R?qt@jx*_k>DK>~tQUkj~NT)ar48T5@XgSVe^lRX$ zQ$9{yyHdEbvM^3VQi#*;AwWpCZYE=X(O}#&7vKAHTMqT?@zLaH9~tkb#E#>-TsJ{- zBskG=&^>pjN4lqX$kYw#^TK<|nEjcUtTO(^q4}*KL-jdFH75?qPNGu;}dCS!Z!)#an{H&2z7roQ~aqM?ib!0J?Yc@*Ng0jsq(E7)f@U%3g=PI{L!R0|Dd@L@72Ek zLFx3&Gm>31IosG%oosAweraxb*)~D+`Nq8`nADg0eDOL%v3g~qC|6dv61#K||M`in>XQoe~ZGJ6wb1jH=-a61FB&ouGV>qFb&_^3nH9mDYs%a1;vT zu6d>132-BaFm)q0*U~E>jlf`pN^?cAzSw2^LBhL%HATxZZ5(cqoIP zu!@Fd(@GQb@vrL&_r* z33Tg%tM9+sGUg+o94wGar8)p}&E`61vEGM9KH1q9Vtq9(ymj_7uRT>)zNxKZYIBaB zbrj1DGi!e@om#ppi@e&jPhcN2>~u1)uD_iB(iUtP$)X~Y#gLM~jb+<$|AsZ<1*gk5 znUWTX4a?^FR#)AE=zy^{Txei6w924w9=i4UMxP}a^L*nzZ9McU;~E1*fIqXGhvf_8 z0gG4xIHW_N*MpwzF}`#f8&|GA`WUp|6vJ%6|H}7d#*E+ zEv*=}FGP6)yk4GbSdjpuSmY@X(1Q($;E&H6tLa>t1M&SqFqLS7z4~1Ujxk(mOuFFT zJn!XB@{p%AXJT5lZJiBV70YkDuN-^H8~!4ffJ<$j5`cI&w+qmvd2PfZ!Ff1@2V3Q?#B~d6~^dAH5?}8Cl62GT2;_gC=z%7~*)7}?}gmNiNeo5Sc z$^=B*X7dt7Cnx|TzTuBT6-OX5l^;(_C~_#G@Q*qVw`|yOK6HEv<}?T~33^u!UK9lV zheH8{EW?+Do+%~iDY9i@IVd;^6}D8@XCw&kr$SX$DrC0U9otNVKTsYON;#;c!T*U6 zu@y=lC>N6{s`PvaN~QknP(YZmAsoZBEu|D#62)UeIvNne<&OPU@bcSFdH=Hn@hVh- z4{B62>TCjXuztjZ&TT$shEZ0i8 z+2S_F$r4`MYODgH-kM2*7EvP)8l{>uNFyUq5ex>V8kcxzL1S1SMlG1$F-_PxHtqmZ+EW~aUTZtKBA( zos8Aq)u+LVjwsg^5l1e3@OC*-C5At-#2}<{oocP<@w}Ll<2I+>+Us$YH%w8$;)P7o zgyP5;u^Sxq?T;in8Z^O*Yv5Zl(w zDMCOBlvT$3R*lYth~XewbdQp-h{wxxtQG<;;VeqAN`^AeYA^^Bf+~oDwo5^z%e22u zrf`1nuzB|`p6z)-NvJKkyT9#q$Hq$P(vCA#MN9*2=w$9JV4k|d7SRk}3k^lpUofd5i zPKGG+K0BNpwP6#bxbqW(_HJ{(5Y_DTL9$r3S+0*O0RlIOo5(8#u+#wd zm++K-W|`?;xvemz-Yat1)0H)stx@dk5Sg1@9lN(rH*(p%P+)wjns(o(lTir?E6~jN6&=cty!zgJ85O__a`C zan*{hd{SatvG;T>Ffq5cX>XNPoBGSw&Ik@|mMX?+HLw@rHfb zV~l~KZA8Fqm9@qw`zBx2;#IX_vvvFuuzcdRzC7KZ?8$41yeMMsq+OL&A)CQeM!U*75xqpAPs%Aj7yXt&dopPFHZs7=2vV;`#z zLmOoUZ)6+bR77*zxBi&|$`=gp1rciCBeN+tmOXx&Zun9|u4Gd}*@y8TY(_kLcxH|+5NqX`wyI}%)Hj4)dhF8c z{55*;x^&IqMSs7?te>q>hQ61+(Li#y5Qsv$EPnFFWimjA`+S9Tjd4wt(SIi6#PU-v z8VEUGcL1+}wqJ&R%cJ?+jI3Cn)>3B3s%8g)@J(G5{u8*K&{W$gP8!i3I&7EbZ7)%=)>Q>q zF3ru%(Fm?ABKCbxdp50B4xnp;e_XP0($B{;qUKMd9ekc=oZkYlZiK%7ziZa~(PjzTR0$KjLcZ1h&gLK$SJu9$FKj9QdzUp_5 zyLNy1Dyhr&;GrXcb(pwh*5%RE0i?7m*4S-13(`eF9sSgKafUwH;gY&Nr=IoGVY-{x z4J*Tj;vGh2e!c%|z_7!(b@m;1=)sP%3@dS6zai5{2uS7hU!OwA4`Vvy-=`E4&_@28c zr0VYnN1iT{YlpCA`t^d^BCU{NZn)fN`ZxR>Wb; zxUkKKAMOKDI_(Jv9s(CL45O@>y@jhK5%W(~8PiXx#OjZ@fy;^1d!=!oq1%x|9Da;u z4?|hG3`CDKLcOpyF_^l#QbAf82U7Cg=dhO6o3zGJybkW2;F0EyGdFjplcnr9s6>(u zhUp&FZAsWY%Rn*O+Lc05cd1MtN5&NyLd#8!t>K<&C5)ms=bo=i{I0Ky+&y0hv27Ba zb=}7UfI$|Pj+2EoyPiPTG20%A=w%V1aueR*FxQbXNA}MeZEHhcHk)#0M%P3}HDo|P zuPh@Ksl=d5KgY@zl0*`vR2^a7s=tSunPdVF@+wdrU({7Z6CQ;T$XQpHrD_|BgUtpC zU1igtswwLfE`(Tzb!g0jrA4b6%9CaYi|B0t$X$DkTbqW?;^@Ud0b2zb#;FSd71e5z zNoVdW>7uoz!VKo&>PKf9!t%k%+|brg8Ch5=49W&jMN!EsLIah)zUL?&Ny2zqLXQ`<9upL1F zHj+Y$rv8>;lw;X~PNf=6fSC^Z#S}%vY7KD)=GLr|Bea+B#1H5R1lT)YQ&-k=IQcE$&#a_c~qQuQm1_G!s_b zJ5c?oU}51vsgSn~LqYCP*oO{h!ao>TfiyocNWAVgk6{u0IE*;HoEeST@8#B``|~}- zG1~Wk_xL(>@afNOht5fPG-NRD?B-n|Ac=HsUj)>+GniEux>9ci*E88JYE3o(&ZXNR znv;;Z^d~2dQ}O5lKGdiZ!y8NZgS%&tbv~@`J+2xIo{#h4nfw#o8(@fB26Ly= z@#}@04okgxe!9Lq`Evp`Llxe0M8fPE4{jc_ogW>UFz_3Jv z-z`&!2-sWEV~8;}ZWm`+itrKvZtcbzN@*p1NgP2^zEvIpiNpG!t$`X@#o~;m=yaF0 zY1sqkL?IAaxJSco76PYs_m9_v~Ng@$TdE39<9FGUn*9{`v8*)Q{k^Q`i5k z>`H#_=DPE{~AI!NpXsyQQq~^JZ$sdG%4O zz=D}9Iz?PWO_X@C9e@qep~7O?f|M$YTH)bpcM;CF29){Yp99#L#?-;DA~T9S4;+?f zxP5pF9Y6uYxNahkBE2IBm46#x!qI$Pv35cCjCXlX8(A;Xq)#+C-qLcTIMYGm@$ip> zvSwP5b6_-;a5>aTonxbJ7Q|W?O=VKZHlf-y!juUv;XZCL>)YsbeGYJYj{QD$C3UWM zzl<79+DhHs`vdjNaK$}hV+|Wxc-GR#2G(Szp&%s*AxWu??b(8zpO&gJm7iJ){|0`Y zu*jA|`g~h#$mc(qU9c9QH||o_He}KYJskhU?wNxZF)vrKpY>XVIkiIB$X@%mJ;`VP zBVZ&GZexJ3{f|Yr`XBLv1MNTJMHi+;CAN}=jTCIl1&*ubzl1KG06Hqu$TqEsq;i=g z;&s4Yp(IUG&H7sD#S2n+5&0k9z0Ug_lgcS!rPN1IwGRLK5xB{5Mp>Ec8O)lS zsSfHWi(Sb@8Ow9()uI;KIGLjgPH4D^UaQ0--P3U@JHS~aUty2F(xc*NF=>AMUaaNN zAk;2xkQyq-IL z*I3In@pFkDk5yd_C|3g?Vg3byPn%|55Xq`kMyqMnMRv~@pgF!s;;!*wEM?4mBUbH} zmK0)83Ya$L5f~{>dScQ@%F`2LCKN67q{#Y>A*F0M6#J!&o#oU%qtdsM3bTrJYE{8r*95AsmlXQK32}opfPc1eE<&+_>rfQ*D8#O4Aj(C21yITuu$Q5_W>q7sq2{wLS0;xBD*y;j3zs0{A#atxg% zRmsGBL{$}?gf-;L>}&lDU!@;0HvBTh4qzCv?oxkF*IqG{(z1wKxtEqg+)FIu9aXrv zpqgD*PNGa7O9B5@oyxxFUf+G!BZzG{LB>m_ogfSTrQ%~kqh^Nfv1A$?Q0Fuf%dWqz zzXznlC75?035*obYVi4CvfD^YXxvi9YNvW%tw8WNx)bjaq zdORU+oW#r*kINwz6s~%1(zrDArL5p1hjlR-j*mSOl2QqoXq+jDv(wl&AUK#BX3L`1 z1h|G;kN4P4bSGfP>GpeJohjk)iX58Atj5xGNo@%E&p?gs)4Pc?FchzIJ zze5yxIa3!YakfG$gnqmyxR&!bpkr5gB?92XVwL(K(a1Q<9&5@$#gRLieUJ@Y^&7^Q zakDhMT;?(mtB=fn7VGNor;L;+TC~yLKC5Qne~OEY{~k^nmWt#$uR?hYF{Xn0sD#3odAeO?hT2~FSo z%}&0@x8vycC8R#G+n|r3amFrbZBS+To-HyIYyPl3K1k9T^_eIJ{Rok|`?PVxCsBSn zy-r_@DWI%yBIJq^6UqdEM`V|jKrhNd!ieo2vg~_YXNBdZhpu#eN5Jxi_U2$k!|VJm z#a5@fTI7WK%s!X%bVejfpNaEb8CZtWCX z)jf@&un{{m`}%(v^nlvW*0sq1v;sR+Iid}{YHSYWn8TP^H%r9pABswWvy)hQo^)#97WEWj=t%F~?!4#K3oURN>y zT6&D1R>dik`7@iBoljdZYQ%;PLK{0@C_X8lc-C4q@rT#HxNU?Yq6Im9XE)`Qj=G98 z`F3oHb&${XAB`j*Uu68Q3H@c5Z~q->>r=vWS$NE}Nh#lGnL`3F!nU(kP5%#Z71Pw$ zS!O5p%V_z|?Xu&qM{(9@!z45*TkCX%%0-dl`}uM-c74F zv`B#m{K_7~wad>YA%j)Vv?jd?QW>?R=A3&foR69FVFluFg^*Z#Q#AF!|#IL-ex1Adx{h__Ke zeu|5j!f61SS`OPBNIyl^NDG*DNoJynU58|1IxY4vWK<}{klREB8c%g7wJk`cTo(^} zyu*cSNj;IhZQ130HRfJ$XL<2(J*AkQ5|BdQW=^NzbWr=0F+C9Ca!@d5Fg6 z+9;2f8u&e|UL3LdXk``Eekao3yp6jAw-wai-3Kz=2d8SjoPv5MCk3$+v|ABw+&X}i zR=GLD>;lNP5uOz+ZY6P2RsUikb~zG?H;fs6UrDi*KNL;3n{vNV{E)46ezgfYx=|va zTf1(tukI>3U^blf(sUQLamE`{EI&2HIvDdYU?UD!J`Ci~xmrBwRS&V3%c(Hpw&u08 zCy-JSA266C_6C5GfVeE_+4$?BM`r@|zpObhrH=c3okYRdV(Vri{l)X=&g&^5p>E9v zSYvV*u%G5TkLePf_QbqcHb5D0u8n}Jusw;aQku9T`7(ntbUnvy*1z!!mO5j837927 z`HFpGma>c`R?)e|l?RL+By=9(Q2?V}WH=R9_2@5`DM*olq)5hbHf`|1qkIEAS0QWQ zaj(=Ql(maYZxaFslIg@kG2GZ;QTxFSctX*vw5!Z3sb#d%^jK7eh-p+%rp}caf!Kes zK?yws8r+u=OBFEeMqvU40-p4oiA})Qkot1SN-;$snWA5F4xtt#wh#p z`5+b=^bEvN>MUXsOVxwLm#?K!!k*?SEa9Ne?P_MafxaHI zN5TSpP7Dc1To+Se@J$znNFMUlTC9t++6E?1fottFSZ@uGbvkZ4?PCCS-cs6dg^xom zUBvihf1)$MH@IGeY=HMMJb|~vZ_4FiVbJsf@urKGmNQ1BvST~+7A=l@SLUtIjKh>T&l9e%4yb4G2Y+MicGXR9I^bt9IN^|EPdaUv%#trHy)^bJXZvCF za3-Y4p_Ftf<7uQ1y>*nB5E(hSCabA=#(0GQKQk?B=EVv8{vgkqYp0Q@iJ zKOJywj53r9hLvXu2-2EKb{hD%hNPK2P_AFz;oSkD+f9a?;INNqML5oQb)|49qefvq zs4Fh)I$*(kz!-o-5chSB?7geGosd>{s1iN&Q*lVRfej6@R;upp!NGCW)V$ru^@)2e zwU$ttXhAo|rk}$D>?$Zt2vV|IhAX&PuAVl-)fSEI=Eowb@}pec9wzK~_ax$7$a7a~ z>K{3}NJdo{*(Hj*!4IH?z5NPP+dYlVK#!S=#EXA9Z2-WSm(8HSaV@z(M>slzX}pPo zd=RAQ!*35`RLbdW@gJO#V%qo<(Nl`Nk5%uVBAxup(+b80OO62s#Dc2bZRc*`M=`%! zIuXG%|rxjHgOIK)_ z<(hsy!(hO>Wb9ST2m<6U*m0yazh2Ph;!)*aS8;>Y7>dcjAtgkDVlV;4$|n*kSnj#m z5q6J@@S7ixn}FW+11_8pUO0KMvfQoW*Jj#q{>5r&lO;qe_My6rx2SZD|O4O zL?7%_Mq>wjd&9RI!w!+`KN$s^0M!7+01HEogA4#Z>BbJQ@47nSVfQ#M@{fEdQ$#oYlNi*cM0no-;72H1I`l_ayXBrBI6!-jq~D z7Q2B=LL6(~?tBK_5TKe8+{?^mew#seWaye!3ONTFQpI$h>SSA z|MCSt+jDL1j3Vi;xZtFf(O&PbGfaGIqo>iCSG|1Q5l}7xu!`_Jw)arsj_-bGt;iJV za@-tO_00b(GLrh;%mm?NGY!?`%}n>E`5Tk%OeS~B+3nd7(ido@Jk z&i>e&R$jdh-wnYtt&a@tK#xK-Kv=U;VFrr%CA*H6L0Vvu{fa}vv%_hVsMv0+>?R~Q zWGxm_QyVtdI}t`KhpC3slMF&Fcd%q{7sY6D%=sHrbb7OILdx}euO^^-;$b_A%5a2* z);gTx599iFT(E4MEV$s8)WTOsPj8=N3}8LYD<^kc_U`Q!lxO3m?Z&nj5Pyk}H=e90 zU7Xk?9oVKEEo!s$Vz)IXe8DRs7WhcWgUBrQt1dD}PiH)h{w_~5-Bb2 ztKnx{B_J;ST~gRfK381hCLZv(g@C+FBl261G&26V!#%WySXkd&&mxl$#877xIu&`! z@uY<3erE&-Hw{vuipWVkI@pyd3x<$g8%T_R!1e)M6baf-_B4kfLxxI3T2SKD?zhgw z7G;RNDC9_iBuYXRpam-Ve0m5};~%x$4$pX6KQtTlva~zyD#@j-HU?Z)H5ovsokeO^S7!Z1 ztu{;(5LSKc3b9EfFzXY(knZnU0NN~xEDRDd!Yn^^y;Mb^@J&AYQJ0BNwg}=CkwSLL zHRRO2&|usq05;sUP;cGY1}Icb0x)Rm->ze7sQ3hD$JvE5^K=Rvzkf*BPpPsh~~-M*VQ%FaVw+ux+%Hsz>n^I@)3Tfc8p7_wWPQFJhsVi_Q6q*Ik^7y*uY`C5zF^c4U50BRNYWn22kvt&b9NmrZNuPQ zc6eGk0QtibUiAkVBokMj0aRBHXN7G|t;ag>ena#@x86F2hMOaAD;rp?<@=YiffSF1 z3kyBWfH*{k0?YQ%QSXT$I)~r=4*#(YxdbhshM9yZ+)wUj~C+;kUW!_|rfg%;ilfg`a#{|u+ zf4B|U-ERT$f?--ya@q0(VJ8PJ*~d9|S#884OEo^{q1!uAf0QJ%8EiYU{_uOgZ9q8% z0HTdxmS6W(Lu#36+g=V}yIuEu9N`(qme=E!2H%K&Pwo})q34M0IJnS%Bxl#*QZaB=U9g#MmrQ(b z$Ks~kxOe$1e*PrmyB^B)^z#8Y`uz9!0D@mYb50!o{&m9CJwPGx|Gtz=^4Q!Qb~Mt8 zw|ZK3h(*ZCn1!oOUai8&_cy?;P-@fTK{$kI*n!3hhM^266}qEy@4YPqAB8%}ugNnH zSh1%gu=+t`(QvMtK_$OeReu~jJ$ui9r{#ltd+t9+D@WZpe^%F!?y`gUn{myb8Gu-` zJU~5K_`eFS0qEz+n!8`M5~YPu#^-`CyKDFFf+Wi3M-xBpe?M^L5^c_Z2j~x-iFg|w znC-uX5x86STO3dPKg)KL_9kK_WHQ#v2$pT=SPKFzW7(l&l3HV}M%WJVbPwO=uC9M{3~~Fg;lksXyI2As<;I!A>MVq} z*u_nbdeTp0?fgV_ojSMa={< z05IVoYC=%vlp%UZEjzaKP7Rand|ZN*`zDQ}M)rU%U;bf)rxK=*;T4mNGu~b(W}J=k z*D=WmI?y((=#3^WO>x%qJ@6a($rChm5#B*eb)*Ly7RQN4+*p?(t%DA;mku(S6JH6P zS`6i2JOt%{O)NQqIYUK*Y!RlLygF$GU>pb5EO3>9Of*&9R@|=`#Tr}bUA{yIM+*P; zo8?0sl%g2{6vSRjm(O-h8!@@}ivlQ4elZ6*2 z`6fACHBcuZ_cK!%UyFm-2Y*s@7XLR~fyQH*mcW|O`6#T{ZAu1lo_@?C9|Jrq0Kb~g z?<%#78wzBr8;i#`)27dTVWrnhEA&K)w8@?V7W!K8&w_e+-ny8jDoL+(;`UcSzF z4|t!zVP;oK%D@|m*uk-}8>{tUE{>*BWysa6C9W))ywF|<84HR_pZebeL|KJB%w?IB zJ~3$NVZ3rx7uO2PkV#$swLr*f!2PtejaF%twsD;HJPqsQ+)2g&=rd7F#V$lGNZ-Y9 z!SN~zWQ*8EMxGjUlk?@3Mr(DW!r7OG9`Rmvs}h$Qb!ty-ADU5eoID?(PC2qa8^&y) z4PVm*U*}e>A!T0V3J#=W7b5v6uN&?m9T|h>BQq}QB17Ie6LQsmg$lt7&^P*_{|FCQ z#^K?4mQ}9|Uv;(CR4C8mfhqZ`g4wi+ZgMAzPT1}gOn?pCh6sD*gTCxk%82YVJR~0g zFT3a5t|@gX)E>bVAo{L((2d$0?Vr z>&D_5<0x&K5(gkXmSf%5RcrVS}?*3D$~B zl6}2&nW@N<*D^cX>uvuEAJv_I}STFVSN58_H^It+T8#C{!|S*TD+zMby#M+~3)aJ*Y!9QS@q6FWjbo zjohTNXQ4J*udckKYf{8SphDE-Kap?FD?%`Jqx348W88r6%Rhh+8waSaw~Ci%%qrr9VsCn~7qhDGUgfm{X`C?g4qK!ZQO$)wU+tgV zA=GXW8gqd$yPg~oPKI>%ZI^KM)hV00S;r6zQE3>|Q8!%zw6%g||4qiD&fWJUckSsn zhj@d%k(zzwm&{DzHDnIiLp}cHuAQwDXX!pQf2v8e#pYLJDe(iZ175WAfON8{wvhq_ z;$MdO7D%Xb+roZwOOEK#|-$(21YgT<9P4m&+G1A+opC0>VL=iv1 zXs#cqFWdwDYtQwW5AA)Hri0S37NOM-}JNdw3Dw|nx5JO)-+Mdh8*z3Fb z$}Vl&wGl;K{I#F&(9TqbT}o4Um^x8N+F9^q8oS{cXvxi8lXFiR=@=ex_4@{z^Oxw4 zNFf_N)VF^z9UnYViwRaF=X#REeS@r%rYG|yJmb6s^tiPz)pC#IYNEo0mGOo=J1DIk-@(=v>^Qcp#*S@~Rb6TE8K z^m#iLSfTcpbUjwg^6h5;31@m$z$A^n8Z6VO=9Rwjz?Uc82pIzXa-`%Ymie-43Xn0q z%M@?|l-S-Xa1tj5-Xv=BAAP5z%HkAYK2Of$NA3X1nv*6AkdZvO=mgD4+6eEZcA1bQ zg@{0z$wh4&z+@s|BT$Kev$21*yMhlS8%9uJGPS6!f(nHBoxk=alG}xoLHjM3uqA~1 z`~z8R+vzqcKJ`0K7hjH0=M2i?3?wI2?(h`QOzu zDR2eBx%3ku8I%7ass-DWes8!A&hCh9kJGa)*L(Txa(Xz;WxwQ3j>P!j$;W#3mFq&m z)hXrpXBs?@-#|~__mPz}Qb=4mQ&*od#HIvFu0%0{B~jNt+2bNVqhj@adN0gx??ZOQ z6?G_M5Hcqr1S+-!1#krH!?i!&#(y1sY2IocGvov!$mZsz@&zwqOsTbb(=-RDLyXP0 zZvNEEZ1?A|aTfHc;BZ?$K8Y%Ehm>-`viodrNG;Q-W?!}1b@wNL7!|m3rUkp_I!b{R zZMA6WyX|yZ@!T9b&{MZ-Hou~5`|FqJCZ-1-^#GA}`&iRt3OMyn{S{+Lbj{ZFCC z|C^}<{Z6Atp9gFhW}}{J2wO#lN;C!wqb092`_Nx3by?*kv_m`4{p;nO6k|=C1VUX$ zCG^SCe{4vbL#sNG0Q{do!?cMzcw&JC8Qa4&&Y8HNp8kj1Vs@Z))W9B=NJ^AxbHC>+ z0j18{lTHvaD}cw#5%x7QDZ-IfH?ybnZTQ`O1ZlNEXc$$Bn}ml+A&rWK3ky!ckTJR3 z62|l?rYKM8iPEUSKA};24IL@ze%dD&rpNGL0-V4Nh1mtgI-VoyA~IR=ZPg!Lk7xur z9b$&Bj)usz0$x7m(=xF~4IAAeS9Lar?Qj9sYsRpo5nuv=uRcPBhOGY+phdxffD44k z1JiRK@iqtOMSUTMyg>;Q1OX|5-1DsmT=tt0Pi1`+Qg`tMQ9v}`6kZEky1NmzfJ(Q< zE`>wm5sa4~GN}siy=U+s=Uq}CKpT}3#>-0)i@TB#Nk^KO8;2srm8_J5s0tf`APOsy zaovHg0KB#|zJxGC%6?^K>Z2j0gI=Sq!J;Pu6?PmSY0F|DtV9@X)?cKBAozk+ z3cJLGO#7V?3IA$izH|yHz%hFJVv9hUpCcVdD*Q5uNcefwgGXX66qm>>;s+8LmJGIy zX!O2n{u!>fdkpK(q6&iqmeK5){5Z_of(AwN)BNG9p2j~h0W2dd2W$}K_hzbRsL3fG zep%LBaFl2|%az^`wnoO9qJ;31biea0u@1>6g*9+h-rdlUAiTE@4rNT8?6b;$3b~s~QCv5@@+`wo~Wc*!hfFrxk?0 zRWtoD0ghHNd2zYs5z(+9;iRd%jk)FP?wbAWHc>qrRpRCQw9dNOP@a`^&XrG8%l?=Qymy8( zQq)yKF6nv#u3K&kSpP!P_jSCo;tA)xqn`4P0#OL$PQAT(+h2;%JAe%aI2zxir)asL zmJQ{i%8Hi`7C~Z#Vnt_uHW;==2H{xXl%rWt!A5cA-C6OU zRNbcS2pgs=Z66kYwVkI$RYVxU$?asU3)1b%W3!rnE!gJ6dzK}bN?^h)Lt#q(Da?h6 zJ-(<0At~(ptl_zG=In+6VAX-?8F|x%89_asrHI!x)gziQ2~qtMY4~S+I96>h+tfDT zNUV&REkUCvxdG#y#149g_I)P(`dZdU^T-dxc(z@pxMpLaqhSyx{ihA4od))&I-0}; z*L#Qzbdm?HTI|eCPqxnKCsOtN?_qAM%KB#Z%CM#GmfsxUasG!DfQ|!vUy!d9&{sJf z>^4=9|J#Jwh_Q)}(!*>=?yiv--A(71)AsS5X=>AQnf)nx9CN=Jrt0m<;TS=>fEw90 zio7Wmo_7U)~lpx_(!r-9$*ydb^ zER0PK_|CcFhLvUBhfT*XA|Oe!SdKP-0o|medxhBA#a!!tgvyeB+ej9qX3j*2B@DzM zLD`?ZIm}>Y5EW;u~ojs^2ipBmjM?l+dLoU;qv4MX&%~}7u?99aV-=(je zpDF&o+|+_1T*6`&x=5m!a(j28~P}8Ret@CxRE1gfbeV`!xkE zh$xDjKVN$M9(NPJ#i{4q7V5k{04KMH&t#=AMO2x^g3XQUjO<=yJRR6bm!~+=<@T#h zv+RLn4kD*3wJM1ZS2xCgZ=eUjceD~IdCa=^3kn7L0M1L23q9g~qgcoS9v;W$2|pZh z=GfrRV1mmnjUVzY?|NLQJ^Io4e3j%)2#Xe+=6;=WgVnDcKA%9^DH_HkTXUtQl{xjz zSQNr4ymJ4S4#^|CTe!tG;!xV;SC?^8CD8-W`M~|DgttIfQ?wx}-=1|q2i1->!I50$ zk+%AzCbo^AhS`3i^lvleLm<&XhCyU2J3t_!6i4I_?GlV8j5kKJYi#}xwf=8!HUo4h z%R`)vj(;3=`zbEdf0&5!ehsIK3DB+_E&$t{eEZc(RVHZw#E`_L2kNnBqa?Jk7=h{r_nTGpRXCyiY5gcK-N9MP9yEV zuyV`{j6voh3LPIoppj`!mhtlKx2RilPk+$YA+xOZ|5w;M2ImsB+oG{;uVlrxZQHi( zWCd?*+qP{xE6Iv&+xE@3_c>>ud;i=TRkNn5yQ_OvbBhc-{eV?gS?RGhEe}*V!3MN#x{&Hj)!43WK2rt zQX?ZL<6{1l!8flzI{2g&aG1J|sqS|vxR%0)=7ydT3+9SUdjaSjdoWZK}S5Crb5vXg(xzZ6tqw68%fr7Vl-5a55VN?$-5igqOa@T407DI4LX1Y~ zlP}_3kF24c$;q?_9|ucaWSvssF4HQK%OrVJ@iot=_vaZTF-YCc_-2ga5HCP43Xq~D~6q5mzjc11QWU?>Z}+-Z>@xlZ){RGRn5g&Mjc1wPxLYs0g%XJ>N#;-220$TMvUyqy)tSBLwe0@Z86$0Y$nC zK0Uny|-W z$BXtvlIIdM2mok;*NA<%^jGm@$h)B-FoN*v3%8dRqfP zG_VFVEm`ZkXLUadoqF=p%_#%eIBwi0+pXe~)qC0cQPt}+j;uwgmzOK$E5NqA-D;y4$lO%0aLn*!y`Gs5Al_p3w#Y%7w)r>Da?N{aEWKGX)^JFy($f&$8$@xa#w<^4cte2zek~ zBaFsExVsuvWg`wjvU}CJ`+K*CI&6^Qe42ga>V>pO28*pvRPWU5N3?hb!~OZtxqPJR znW~51vAeQ$IrPxyAX&YbTD%A!pD#?J_Y#y z@FkqP`eRg6Jj>PvDZq>Wj@Oc;+H9!?cTy1TQKIMh_LBg6QQAdAYX7vr@Gv ziDFJge7QAV3MJm0?eCn<2}yK~`|SJ6+m^0v0#9_W{f&y_yt|J!-^>P}|MA&ZYqYac zzxMlSN;_FRn1U($^^;ABq&%AKZ^RJB{AB`(P3ffx_hfSoH6r4BMNgso7J&(OMj6*P zi(`AQlH>BsL@6~=+f%p%fyH|0evi%Y;s_S%cQd(=RyGZW3wn%;J-KDD!`7_9Ivzm`Fa7!T=6yGxZn39Mi>ju5wmA+B9agd!nx|0I z+=ySnFFHt`1<*E1xvgKi?3liwL3O@`4x1UOqP=hmR?0;1pkTUyo6<6tD=aFwiOvR? zMzS8xyA9#yM*;7mR+yQajsyZ)5(@+t--o2bWV$`_48nW{C<6lC8ea$0hoNSCdoB7h zagP2lNDKI37Wp6=tl=fwiBAlx<<3Tny>f}vsndH8C50)L!${C#R7`o}hNr5KW5C5>Jd#f6YF@_}=o8s+khfB}^iZT%x=?TxWAZQsP z7E&`irj?|N0I4(;AtbtW^o_Nb`>U_cB5y{0y&HEa;3b@NSU#<+J2GTj+d<#ndPn$u3VmBVYjsZEY7$Z4swLAR`rknsv21e!~D_s^%|Z;zFg7!;cs zTn%;GO8+;!-bs`*>=h+{d#UlUU91<*HXCi_Wd6prWOP?y8MpgQq+OS`%LQ>DKk#ME z#YDPw)k-DQQm7`}3Y^Tjj>bfe{f|*|7r?iMLfP8fK?Z_!oW=j%Sk#vtD}!u4m?URE zXJqH4JtPL;hgm+R%D8?1EA@2-MablylmMaD8Ah+*JO)zyqR!VZQv8}5FM1+{pVj1n@T=*_MyD6s0tq3b> zzr{cO2)W`qh0j$@YaBLH1#@Vg94!Vc0pB9w?g7sQ!mDlkd$)^|c2ef0SELbIaUigb zcJF3^qq;b8rT<7X3QaCXg}YIbo;hb3_&`MZrAaV zn~3ozG>lEVZx^;0>|kwH?@ag>tJ3_8PnJNQv$I<7S!K^hUTyRI4|B%{hnU zqb7C}=Z@kKtAKEthpau239ejgQVwUv7h(!tXO5mjygc63WuFbBaf?9S5H^Y7k69l8 zZY5JjZ4 zcuMm41EM4tPb=|3<+KFy7lt1C+JIh;sf&yZar3!u#eFAxrQweYcX|zCn@tI3ebhTa zu7nDxL)z)kLSkpYFDJ*NJ05XAxuR77CS#Hxkv(uD>(^IUZscl^A}36jNzYTT&A^F} z$=JS`^~xS0#qejok{0aH3|kVc&PSWmdEgLl6+LJxzbA7urOow+=5k&YTK-UO>e@FC#%8+9^d;TSuE4akP08u z@=(%^@ZE@Qb#hkqE^f$dUPAU$wHN9p3E1tBejg&F;OeioEIpEm3!|3&P^D}zgo#M-TIszQ9eH^TJ3vR|NpQ(*J*jns+v zlT`KZ1G@F3MaN3G;6h2W;Aa^{KTk8+gLCQ3=`j>$bYA52hesSd^wAPP^#w!_$zx;G zxcQ$@+n>J|LLq`LRTTjs3Tz@HyJC7vF3kLn9l!p{q6wiE*e`R1L#dT{&=e)-JHRAu zqzD<(MsJ{FRHcDWjmtyWu9*lS^nKMM*bpk0;p-{z ziflstEt#WN=MMu*_Qx)Q63{R9X-b4V{;u?Tx_6n@TjFh8=w9^{eD3QmdXYAeZm&?K zWD1N%XZqfDK?~n~I79222(oZGtD;HxJsoMGbdcq$_L{C`K}K%_AZDFafht$?haISx zeLZcK%T*9ehmX8Da#~P?I1HXs0FJbctT$YDgqF{aS6{PauPbjhuHxKEYSnys) zq++DT1AR2Ik(EPInnp6pIBSsL5^u=EFn7M@j;+iA&-0V-zMr`q>)w!utykPpaCL+` zoR%HlgpgORZG}k&1gko39!N{MpZ_>>Yne2WzvGc|sVmSYxue`QB;OzWCa6GaBgX~k z3dZ6Q|EjgPFnAM_)rGIVbKld%G@j|j+ZlIR;GdBufk$5=_lslF8lO_;Y2B^O_i2Oe zdh^Oh)@6Zk-w4G!_6*FXwp_T0x>mrdm}3t9-jZhV`kxG zCH$|zMRBsCeI^51@b*15%_Zqi(o-hZg=AujlyotlT^YURFC7MKV%GHiL&IL*A5jA= zBFj<=CdOyq?Lbj=qqX%0~7mzi6ZXAHuM>_~MfFRbq=UK)WPoivjYM16c62n-b#o+-G z)Xm=r)E{#}WCfvWJ>o+xV6(VjLW4M?qY1wBJAw{cQ$*0s}vqfeZfQl&9df}i9)@&AlT-AQPyk%R92TQTGGCO#B z^fJiT_--=rgb+~(kw`pWANa+rfoR8|0lAN1k1d;_;K_z0B#L##E1u3~XhI3Sy^C%0 zMfS8sN$&_S|JexM{C#NR;r*x*FkQR{D2DWP&6%F1!|h7DmbogzhIjMSjp$xr7=5Ij zwS(~Gd^Y$a`qFg&wXpQOiGQ7YrRGj`EBkCct80&O0`tEm!E2QIH;UOD*hn| zB@!nC!~eA;S^hhEPN~B+&UN@wB^im;bB83~50NcD`9K+hk6TW=t5LS6|8`WFu}r!E)ii~5G-Lt zE7rL}6r94Yjrn+wMHFK43M3>htqKw=$qvSplyKaAAc4E++lZ39*CHk!j}x!c8ENdtw0>y*s^<8-;k;72$Zk7zbZ5c7oaSe#1ui2GMNjY*o{vgd z0Hk95)1A19>Z*-jj`EJHAuX=xnM1(pM;AJ!tm$=6LDu1p?$) zn!gNpuiD57cONkXG@mr^1tIH9)B2x24}E!iF3@_~yo&LlZHK+P2m^KXTa65b)HlE% zY}+Q$wwqI{M!py%S{c`gxOqIe$qGk^0}@wj_qH}WdHmbh_2iG39Vv2nUm%|tCJ1<9^8 zvP>Vyk-V2Fm3D0BzIwg6RT6`~S7xJ$n(nYjmxZz@PlC#S=x1p z1qa(p#p`{>KlOreFAmJ3GR7hI0sPUeCzT`1!Bj0>M0oLsu$0P&`dM$^`I z{fFewQ}2&+6E_+$^Yd4a9v!!NxDAhbj$>Bgl}&2|%Shs=`eZY4E&2Mugs1EGPQd#r>Y6Zjq4tPgjn>E$V5$Z8TjGZ_TB3GEO|P} zB35IyD6@xqpE~s<&Vn?O0G}F-ge_ef;WfU^uxchNb|cttlX<(LCS1GfZAWaJ5rRv= z02%s#k5lTUZskYbRw{y1Ftv(F=k=#dGs9hg)(+Y+nN|H1u7ie4CXXQGU+VF%ss~zx zKT*%sBv@52D+b>6eGeWieEC7|itJkdkW{zij_rp}q1s;<2=Qa&0GP@#+-Ut}*A=?n zcq6!Ya+g-n#}>8QzWQ<(6#fZ6*KINhJTiuYiI+P8+wd;+Vi zF(J45->usjo@6vMeJQ233PGebZwwpdWr5Gc)MENwzP`o5l?_iep5uTA3xGfKpSZY@ zEFazZ_*?fz}5`e(y24dI;;a`F#epckRd%OTZ3%s%j-lq=|7%5yP>gem6hlv zGU3xdYtbuUp&MWP4g;>LNM+SW6@CmHlSA>XUCFB!Ui~&rUp9@BT^Pz3FRMp|_-^Dm z8yZS40ig$hpgu4#YG1Db{j#kIf67SHX zj@b2sj5=?F0qXcJZt~TwqVr+Hx1GaxFShr88X<1;-hG&^a=g30A%wdTv|3FlYsZ%> z*%XE?mp>j~2l)X+pO|Og#9@zg1M%zkF45rwz_}CYWXrlPsY~vZx9E2z>$2R}EH3Rj zpG7%dFD5gtfE5f2M0+VuS@J?~ukFPo^*@!=?;9s>LoDxkn8+jdX#Dfw2io0fFAoVJO8_UYD~RNe(q@y9FqG!Ld1Q+Pbabi~HxXxnHj0PK~yBAp%`ck*`O-$gpuzhnQX zmeV9+poPrqI!mTLBq%)%>e^tRC{=^1YVK#eKMiMcN#Aq?%g-cX-@)S3Zfyx}VuRbZ ziKdT^n=T{?AWD&=vjm^}TiozPhM3J0OkiyGGx_XWk|!UY!W4&FxGyP67e!^e-4Mtt z`-Pij0GOC!70wj%)f4Jqa*8J>NKr}z16wTzMWz%m#7nRRhCwm&Rb1DO``V~7K-}y~ zvzQ+UMe7nQt=?pelY_}Bhl)?l{omsm!gb81;Az~5+g%hwb*AO*l~Wko;i~F9YjkSO z5to3BEd9!iCh^iKdO`|6lf|YDX8yX638g_P0g}Q&ec;V8m06Y4EUxs;2=!%rcogWE zO{D0QjWBhaJ-~@+CE^&9GS;7}6dOKJa;vWH=54j3!L^!=gH@uyYAeKIM&})xG?hje zf=|7?rb{mUF}I9_ES}Jk@`>?~EOff=AzEd<6cy6_2!fE`i0H5{v?(oKWaDm8ApF!v z08GuW8obexxP=>HNh!@yE^!+W>8SY^Hw%fk1}4+;=$UpVzBf$2NKRG_;Wnk|8kni+ zqOa`l%HKn#pw=@6f#snskmUsX6MkF5H7lhJc)2)W1DhKja2QCY#65UKBBB^gJSh&e zLqbm^Ug$8%W0b-tJSLwuREzFh6>bHs0frKQeg{#-9bs;@zDlk4(f=&F-vfwQ)(`6}mN$bXksaVQHku zKx<1@0nZRTsjxH(QH>eW5MQDmO#uhhFWH!DQemEvdXAODrn(wTHn3z->5w@_0rUg1 z@%{z9llaFcMCeKu1q%F5|2-(9^_JrEMQks4q;RN1}>J1*Qn3! zFZs(nx*8%@qmzz!0!R6{w8R zP>81zMTd&%p@BJf!upC?;$6h5Fnf`LJW3txNq}(K6I^j`yV@uEf%sD&7Wo%N-+^Bp-8YfW<^z zl>`2E@^vN!F0NPeCzBNm#~f=KreK|E!p)M&{R5_=A>2$`%U8UjCa`f&W^<_~2&-5V z|BuOe<~>a_V@Uk10r#w1Kt6i|)s$!K)#&)=88*KCWtl!U@4TaArzKx|Sq2ZH-k`#n zW||B$5amuQ!9`+Q$U!n-z1~x6M--Q~FXg>Wb18+1zx5*%)uvNsPsQt=ggNe9=QsW~ z7v>P56)6FYbwg6sb$F{!&%%AC?rJ;b2UFPdp~T-EO5Re99OXt0zzJ_phy+i~@`dNE zPl*}#eOEk_4NOqX-s2qv@D>|ucoP4!XanrK;(B3)H2v!&ed=TWs_oxDla+F)w|Bou zHxaZ~PvZ5&!5<|@?&SCz5}YasoW0ltr^%HwIKX@TKd2U{5+xACy4-)ZkwOBfyq#F( z96XwCHeJF{DTt~8fWuq=>f<1e8;JQoQ2{j=STt$e+h{zyLU{4(k02op) z0}~!C2O%Vk;cgz1iKyB}8h16(*%cE6qQ-!z%@|Wb<5oXnxL-PI$5Vzd)I?}3mC2@V zZ9`upNk2ZB`*%50x4yR(Olx>SJLFQ4M#2L%LD$l3at;O(SD=51cI4JP;c1zB@Fvw$&*tTGp?} z*~WI`4ZFU$fVGB3nodbR;hnc9O*7(UXU%hI09r3PSdXJXN5zY|_R@e$)BtqMcqu#{ z;B4?{2=c65ME!$qN(}3?g?8B}0Q-2h3ckyUZ?&)A;c>FA%L#wl?K5dh=jirq?$%P+ zl5z=UHNO8@M2k_5+Q|qsQtko@Cvd;jd7=LyXnUnmF7wJp^ub`OD}76P@uEw=>UC5d1_#x&rDdI2hTP!0JGx!IhFtgnaq z*07xVaf}EgFStzeBjuE#UMWfLz>3ZXE>pFW7DtoXW{q#6UgTJpL;s$#g4LU8yrPVq z;$X={W4}e|=XS4sY;@REhoGh~c%&fzb*0+|sML1uTt+}{T6Ja7EZv*>uJ66iQu1&l6U4;+2y1!*XrYY=U*k0*k~JckZ#zBc`NCrNzQ1xbxzlExWWJyeZ{YJQiM(ER z77@35HUvs)18IO7!t@^@LTDD^R*6giZtP!s1g?A4wN% z$HSK$DWuG?sT?(O6)Om2cuTgysY~()>*@*z%kgan+)PdU_J^A;-6_2s#?S60KV}Y< z8lC6FXJ0;j!S@LK4dPi0brpFHh>+?4kovP8Zja13HW%h958B@@l-Vc${b%WzpKD~ zNUgWy=eoL74Bzq?Rp6H*IX|>h-jUKXgQLi|d3-+FA{v$pjNnCbcK+SW70v~g#fS72 zWfzRF(p4kkAa+nXYKF#KOZ^yRtggk9`tg|3a%6Ss#*Fm3S+}+JU;4kpcfNZQ@#Tj*UsvxcfcOWe>yM4(4vo%@s1Z9D z&rVk(CNuVzX4ff|AKBAyel)vWOB1_xRG+!0Ix@UhIs#BXSe$s%2^3#_^&opAcc-^0 zKDyt&UL#X87Y6ie$>cc8B!_ZA3|Spp)lkz`(XBw@!qF+`2 zb+dk)AD;wHwL@9mtj@buxF-<=LZ5l|n)P{VsZ{7ql;^{qx^0Bt4uvZ>4~z2rSKlkb zX#BwO_u#)jstf6VfA7>fqCQJgeet#j+yk@YG8?nkEkwF$9q+IHp)+a;=lVue{>Syh zez7xgc5yN_w1qKEwG9V_0{&kS!OL4vQL|K+a8Qg^2@SAP!PM1TQ1n)?46tI%RAvn@ zwASu=Fd_KV>-3*0YA=`tbZS{W7)ERS7?`n9>Q@gKdMh+Fc$a6Y_t?*b)gtg5_0&fy zaJ1IQ5AZXb)ZwC^YB(lDGE}PT2RLRcD3`yhjEVF=5-i=?|1HP9*K*B z%0#xq`*12~3ecC-7y;L@7~qJ4v4&QbLD^**i0X%xYh$<>lN_ivbjS}Mi^79458vSs z?<*UEh0X+Uz`6^ejyvKTh9_1`=<=sH51xg*@+fE(M|{4q@bsOTe;2Gawg(5g1}N zLW2Swi}J@^8PtFV%KAOx@0W!-VW7D(2669;o71Jz=Z#OvaV!=6brtxKL1Ai{10se#k+ z`)uHPb7?951)4ydrEW1-HZ6 zr1DL70W5F}^Q0gI%;)b$^GQ_~suTtug<1nJVS71D1@8Xfq=(|ok*!=Fc50(IUbJDn zdH!_|&C|}u$H~q8{T@1hzesdH&>EUobVM=tx!Sx zr;mU>UFdMr@3jtKpX6!zh`TGkjlGnYi#Se=6Wiq2iQS3Q%{IbSKRuP<16Yk|KVNvj zH4u5-kWWt=1=U?ZPf_iO^_zdrT+7sID!sn(UW3GH< zu0rRIJZY_2^iMee!NN|g^ojx&eEhEW&3UcYtdry8dTC=ND=iIoRloa80nJ=OK6GBS zhQ7S z`{4`m+heL<^WODopQ?!aSp&U0wF5g=JaklCG?;^qjK6AA&`M;0@PeNwu3y^#X$Y`? zS}E=-G!~>oGRLi;q|&!i<{RE5M~9s>`3a`4{u=WAD<$TlEUnuyVXgW5`a+(K;qIyW zuVlipr>oRifB}~XvF;{pZ|m_xly3n1q#-Lwz(YDQE}0;Iyfzine!91r)$$D;+W!#= zq%$@nPVvQ=V$PM?sWO}O5?9O`z;qPpq|`)-6q~<=QtfZ|7Y$4t&jM2=%l;YG||1T(AB$8FNpdp7?!5d#aQZKgUG&y z><*5RNc%_N5mMa=d{75h(8fVzOxaRcO!Z9Isw+>XozsN{8$^Tvr|4x6UjRCP$i6qo zTL*1#;F?(_xCNaE@6668VEWaE5nS|Zy%L2uclo#}3&W)&W5W;Z5dX{_0u+B7W=KS6 z8DfX{I`?6Ev5HEJegDlUb17xGsLG!{^1AN1;X}|GhDvLbJ|aL3FxBU)Hjiw>mqiOR z7633LDEiL-ro?D$QRSt=@9Fq@czq$!SQKs!xK}IgCo-y3s!^o^ysX<*S`8sw64X_) zZ;LufUz8FTJDSmQ7?>ch%aZHf>z18LA`Ekb^=CnZim#C;i*d{j5 zI6yDPTwAj!CHwFapx0nATVb>A#6#8V^YO5|UkXbfdKz(Zpdc7K!pat>^M@J#pV;98LJOt+k8E$?ZzsvG;fIl)ZpGdGUYp>>Y$W#P5O>W#jfW&75xQ6EKSB0JVz-P(p zY*(1uo?f@L=J&U;nTi}>o%$goEN3ll{+uQzlBbYd9L+nJy93tGB?Mzf2knVg+5B|| z!K_uqq>oP3l#f-5k|oCCc#CDrW&8Vgy^84;sy51N94$ZY0h@EnhnEO#7p%(7bkC_g@4UiP7twpJ1j@ zNBgfnF+!@(qRFT^v;29a6O>ptQxu`TP*tf8qQ|6KTq_JKy2-U+4c48NwzJx@)yoE~ zBDilbe;wWkV4PVH(LUjZK?^;CjPkq3t(vbYyJw=C0A4Mw=Hd@6KEy4vGC~0s=r2L# zGma=`8Te!gO}0dtmt?z6o6u~y+5@_c$iqnWwk2UruKP`wB|=`JNj9zdL*rtj5s>Ab z)PKKHIxRW9GN8eB9Fymz?SC7vw6?A@KuVgJ4+R{Ygp0ir;3wrBtcj5nXyV6qi5i~x zi~03D0@OsK2Fn8FT;!@s^uvs&9E7vNV90+N*^Lgz8U$#(&4PTXHVq}pvIy|t2%=VX z!(>Xob+ZY-sLxm6#YSw;+d!RKxGKMD;{~nlQ0Qa41kFUM*VguQ+2a`pr_?5kge$lP z6pS7kX&Pb#$}s2sx^oz;d+MSRU;Iqip)ASm1T1Cnqi?5|y!&N$_3(K;yMji!13N=A ztb>f;^er?3aRa(#;ilA=soYZ}Z{%Xc;$d&O}AzORffm=)OU$ zHJ&uSV{wL< z0fb>NEeeq3fNGjI;uG&95?Z&F?o9h%JnS7TzDGL5y&Q?F%B02#dkI5DGPb}WaDPPi z*JBk-<{$}f;orByxzS{c*5qL^`{PTN|ed^Y0iI4 zIsA@=+5xlh0!@K}nMGTS=7Meq0&>mvW(MA6>&gu?ftuvQXb`;}!*0je&PZK$4d)?Zt;-Vm4WD1CD7JVFh1n-qyH@M^ zfAxB~44~TEJ#XohktZR`(-uct<}pP7l_oiacmF;PXhx585#~PP%+m#YI6b;50}jq} z3K+%%Jz84kC(ykROmg|VxcRWMQ908BNMs{z(M9=Zfbde3-1USB$SV$ZS^j{#cOg9q8zp#7CRJbzw-^eVod@0CH(Ju+6!-&P0%4Pta1seLlB=xS>wro+nSvwW@}CfRh*wuR@U(WX+0ybXE(#!(Lmg!8aa~4 zm|ef^+)NFU!9d($Q3Gkqk`lvVN!Gp%GKsbrL~Pv~0qPvFkrL0n4v^l63%};Eq=Q$@ zJ#>jVVHEcC%HHH)w$C_|?=Vhil|p`PUbdxm0!DJyz{)JR<`E&*@7lmarCronFajM~o`br!}@dC3wvPEtfS}EEN*ZSnjpc z`fA>V*fT9SN0Lc63t*~8%Jo;FLPx1anZI?EDBb&Qyygb$m$r8Q4kl3G+Q1%1g35iX z_?JZOP&irAoOqTDd1;i0*lVXV(83qd``4fi%s6BN8VZW7vV=sFY*Vmf^m-DG$>bvz zl9AQ)H8PN~E{Fu-EL}a7zep!osX&2lfU*H;D(MqF3Bq%qJwO{#=32Pcp&qSlBr49M zsBa;DM0WRHJYxGen1l()`}EIDW#H2V!2=30oBYfm4Am`H9EGb+oH(gc01K5Md;`UN zG){bznS0?#1NjjQzVc{>SnC2Kl8Y3+bQE2=adRH}bDJgg$UR@iET$|7!V3#D$Id*- zj^Ff9;w&U8Kj7(7fPE*$@BtkCfe*J5-Di44Derhy1LlDnSK43i*obmQE&D`-MoSDh z(Tfl?o6bMVRRIM1MCLbahZc%DL&J!DVRl2+Iu(+*wHv!hII9Xu4oQYPhB8%sgZx0$ z1Fw=y#Sl#Ha0^lWU-QjAWLaxBM2CwQ4G=t7@f4uvMSw9JUZOIOGEt+Xjfw=ybxkvp z^v{88f+tJXe>X}(sf^Lc_q`l3$MC|W%T|a4lRTn@SD^E&=!ciZtriKXj8%pC8*hc@ zTbQT~4OnakjQkWTZji`}74WY5mSypp*y?0B>9P%xVrHsLnCY?!F=A$kRfRtGTT`ue zrmmX+brdTTwsC{B4&zMrv8otDTobiXJIgptd{|@eiLJ|&4prEUo-*6GRT5~NpNRnw z>8y;Q5b3f^$%1CGHhd70Oq;G@mWzHR^!dh*sGv<_Rnb#JZ!OFa7V)bju$m@plEN60 z4V&G<6J56YYONAgk&l+2hEg(BqDF}_Ch-7`)EzOSM6lpu1NT=G?egwe>(DN;^nZrB z*~4Yo{BBW--1?>@)CLWcdlq{PGmTdkds@(2kE9-<+0ssMyLFC|bCLIu3eX}p+JDZ7 zm!&pq`i*=LqQ4t!zH5*Wc1<}JQg)j}AV5q@-eLk1g)1J3BpapR_An+fSY+Vf_Mom(V%2}EWK;sT?H0>*ma<*n8 zb>bY7$@xEmZKV@&!=_{F37x$28Wm>_YLwvX%Wm#f$RhB^QcMS?*bQNDjPfPEn=Gl> z++B1j42oB8C|^{ycefXI3IN$v-!z_be5o4#=l%Kl)v~Gp`3d`bqqn(h z@q<67-ylb4bXEU%1jNqdKiP6DEKI2&+z`Lvm~~<3l`a3660)!`r!sIupxH3|B-AOv z&`a8x{RnEaF#fNW2%$EQuqXqwpb(R&ATy_sC^IJulaQbYyD$d_BP%P5kf;zlAL0N1 zl%Lc6Z?_Q!mj4zBz+dFGQFBEby>-rM?eW9VqG(3bveNgUw56mirUjRxOj>T4!Jr79 zb7OHda&mNV<_ttI`eEc^nIOr^;3Wn7i$qtB3^BwZK^iagi}J2r+rJ)c9KUYA>s)Q5~!T8``@+7t-*oHmc-8!6`5%w^w1b^I)|Ad8jRdyysF1Auzd@0SFc$ zm)?rti+F4T)Gqg{Y-O&MfAY3B!7_JQJ@C&oxwPbfyovwZ4JtRv^0x zph~+5affoXV!H{!UIfrtxLRAzfv<5C{%0unl+7iXJs*^7m(Zot)w{&`d4O*P5i$=l zMxa((KNYa_D9Dc&0L%dw$N*-e>A7NifST=yCT4&(vV#>h=*ZE3d4}+BAZUF7l1tr- z54zM4=3k#`np@_p(D}c9&o&^;T@;-V?6hFcHV}5hE!$INT?1f@T^yZI+`1+~wDgqC zrJlJxZ3kSn9fYa@oGNFC^8k^;ou~aagm5A#5-EV4d+sUo?IVC7=nk{QN&Ros-7@Y!J!aJi(F^_u4vdIJD3LrGpM|UUg#K+;Pu_|D zinA0rO)w?|SOkAi&Zf56^J@-UB=KlCca%dWVl3K8ud7)2O_PI~YzhiKn##;LmUsNES$T zV?mQp{(f%ze3y`3dkyebiqpH>lf3&GSsUxVI(+8}98K>)qt7A9CCMQ1FABSG-u9M{ zgr@utBE>YO1t9qW|v1E&o72aajRQ^y?h zIcKsWlK)`zAUlyI>3`5=mvEM_EW71k|EK(2+X-;3Ez7?7ownF?5xgg#Vdt6OD>iRS zAJt;1bvv*ZRl=?3@hUQ3f$4sJEmQ;WyuCuqSn7Ux=O2mARDXg`ORb?jo9T9`)l=@5 zmhYKYd6=7blO?6+1>}`q9Dd4XQ0e);M3zv|e}C4OSk(UiI-cDV!Ih7Xmx!!+4PGue;c26JDxlYGU` hp0hn>{Qhg4OJXhcg&%?dmYtKG6NZ#jR9+0`{{fl!ht&W8 diff --git a/doc/src/Regression/Regression.do.txt b/doc/src/Regression/Regression.do.txt index 1dbd42d63..daa6a14e9 100644 --- a/doc/src/Regression/Regression.do.txt +++ b/doc/src/Regression/Regression.do.txt @@ -393,9 +393,10 @@ and !bblock For a linear fit we don't need to invert a matrix!! +Defining !bt \[ -\gamma = \sum_{i=0}^{n-1}\frac{n-1}{\sigma_i^2}, +\gamma = \sum_{i=0}^{n-1}\frac{1}{\sigma_i^2}, \] !et @@ -419,7 +420,7 @@ For a linear fit we don't need to invert a matrix!! \gamma_{xy} = \sum_{i=0}^{n-1}\frac{y_ix_{i}}{\sigma_i^2}, \] !et -and show that +we obtain !bt \[ \beta_0 = \frac{\gamma_{xx}\gamma_y-\gamma_x\gamma_y}{\gamma\gamma_{xx}-\gamma_x^2}, @@ -431,7 +432,7 @@ and show that \] !et -The LSM suffers often from both being underdetermined and overdetermined in the unknown coefficients $\beta_i$. A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. +This approach (different linear and non-linear regression) suffers often from both being underdetermined and overdetermined in the unknown coefficients $\beta_i$. A better approach is to use the Singular Value Decomposition (SVD) method discussed below. Or using Lasso and Ridge regression. See below. !eblock diff --git a/doc/src/Statistics/Statistics.do.txt b/doc/src/Statistics/Statistics.do.txt index bb9d23f1b..1d4b9aa3e 100644 --- a/doc/src/Statistics/Statistics.do.txt +++ b/doc/src/Statistics/Statistics.do.txt @@ -332,9 +332,9 @@ while $P(x)$ is the cumulative probability. | Domain | $\left\{x_1, x_2, x_3, \dots, x_N\right\}$ | $[a,b]$ | | Probability | $p(x_i)$ | $p(x)dx$ | | Cumulative | $P_i=\sum_{l=1}^ip(x_l)$ | $P(x)=\int_a^xp(t)dt$ | -| Positivity | $ 0\le p(x_i)\le 1$ | $ p(x) \ge 0$ | -| Positivity | $ 0\le P_i\le 1$ | $ 0\le P(x)\le 1$ | -| Monotonic | $P_i\ge P_j$ if $x_i\ge x_j$ | $P(x_i)\ge P(x_j)$ if $x_i\ge x_j$ | +| Positivity | $ 0 \le p(x_i) \le 1$ | $ p(x) \ge 0$ | +| Positivity | $ 0 \le P_i \le 1$ | $ 0 \le P(x) \le 1$ | +| Monotonic | $P_i \ge P_j$ if $x_i \ge x_j$ | $P(x_i) \ge P(x_j)$ if $x_i \ge x_j$ | | Normalization | $P_N=1$ | $P(b)=1$ | |--------------------------------------------------------------------------------------------------------------------------------------| diff --git a/doc/src/Statistics/make.sh b/doc/src/Statistics/make.sh index d73ef27fc..edfed7c87 100755 --- a/doc/src/Statistics/make.sh +++ b/doc/src/Statistics/make.sh @@ -44,7 +44,7 @@ system doconce split_html $html.html --method=space10 # Bootstrap style html=${name}-bs system doconce format html $name --html_style=bootstrap --pygments_html_style=default --html_admon=bootstrap_panel --html_output=$html $opt -#system doconce split_html $html.html --method=split --pagination --nav_button=bottom +system doconce split_html $html.html --method=split --pagination --nav_button=bottom # IPython notebook system doconce format ipynb $name $opt