From 46f626edf1d24a7dc9a189eb6c4ba024123f8242 Mon Sep 17 00:00:00 2001 From: "Ryan C. Cooper" Date: Wed, 22 Feb 2017 22:01:53 -0500 Subject: [PATCH] added lecture 11 --- lecture_11/LU_naive.m | 27 + lecture_11/LU_pivot.m | 36 + lecture_11/lecture_11.aux | 28 + lecture_11/lecture_11.bbl | 0 lecture_11/lecture_11.blg | 48 + lecture_11/lecture_11.ipynb | 685 +++++++++++++++ lecture_11/lecture_11.log | 826 ++++++++++++++++++ lecture_11/lecture_11.out | 4 + lecture_11/lecture_11.pdf | Bin 0 -> 154124 bytes lecture_11/lecture_11.tex | 656 ++++++++++++++ .../lecture_11_files/lecture_11_6_0.pdf | Bin 0 -> 9079 bytes .../lecture_11_files/lecture_11_6_0.svg | 149 ++++ lecture_11/mass_springs.png | Bin 0 -> 5031 bytes lecture_11/mass_springs.svg | 214 +++++ lecture_11/nohup.out | 2 + lecture_11/octave-workspace | Bin 0 -> 178581 bytes 16 files changed, 2675 insertions(+) create mode 100644 lecture_11/LU_naive.m create mode 100644 lecture_11/LU_pivot.m create mode 100644 lecture_11/lecture_11.aux create mode 100644 lecture_11/lecture_11.bbl create mode 100644 lecture_11/lecture_11.blg create mode 100644 lecture_11/lecture_11.ipynb create mode 100644 lecture_11/lecture_11.log create mode 100644 lecture_11/lecture_11.out create mode 100644 lecture_11/lecture_11.pdf create mode 100644 lecture_11/lecture_11.tex create mode 100644 lecture_11/lecture_11_files/lecture_11_6_0.pdf create mode 100644 lecture_11/lecture_11_files/lecture_11_6_0.svg create mode 100644 lecture_11/mass_springs.png create mode 100644 lecture_11/mass_springs.svg create mode 100644 lecture_11/nohup.out create mode 100644 lecture_11/octave-workspace diff --git a/lecture_11/LU_naive.m b/lecture_11/LU_naive.m new file mode 100644 index 0000000..92efde6 --- /dev/null +++ b/lecture_11/LU_naive.m @@ -0,0 +1,27 @@ +function [L, U] = LU_naive(A) +% GaussNaive: naive Gauss elimination +% x = GaussNaive(A,b): Gauss elimination without pivoting. +% input: +% A = coefficient matrix +% y = right hand side vector +% output: +% x = solution vector +[m,n] = size(A); +if m~=n, error('Matrix A must be square'); end +nb = n; +L=diag(ones(n,1)); +U=A; +% forward elimination +for k = 1:n-1 + for i = k+1:n + fik = U(i,k)/U(k,k); + L(i,k)=fik; + U(i,k:nb) = U(i,k:nb)-fik*U(k,k:nb); + end +end +%% back substitution +%x = zeros(n,1); +%x(n) = Aug(n,nb)/Aug(n,n); +%for i = n-1:-1:1 +% x(i) = (Aug(i,nb)-Aug(i,i+1:n)*x(i+1:n))/Aug(i,i); +%end diff --git a/lecture_11/LU_pivot.m b/lecture_11/LU_pivot.m new file mode 100644 index 0000000..37abb26 --- /dev/null +++ b/lecture_11/LU_pivot.m @@ -0,0 +1,36 @@ +function [L,U,P] = LU_pivot(A) +% GaussPivot: Gauss elimination pivoting +% x = GaussPivot(A,b): Gauss elimination with pivoting. +% input: +% A = coefficient matrix +% b = right hand side vector +% output: +% x = solution vector +[m,n]=size(A); +if m~=n, error('Matrix A must be square'); end +nb = n; +L=diag(ones(n,1)); +U=A; +P=diag(ones(n,1)); +% forward elimination +for k = 1:n-1 + % partial pivoting + [big,i]=max(abs(U(k:n,k))); + ipr=i+k-1; + if ipr~=k + P([k,ipr],:)=P([ipr,k],:); % if the max is not the current index ipr, pivot count + %L([k,ipr],:)=L([ipr,k],:); + %U([k,ipr],:)=U([ipr,k],:); + end + for i = k+1:n + fik=U(i,k)/U(k,k); + L(i,k)=fik; + U(i,k:nb)=U(i,k:nb)-fik*U(k,k:nb); + end +end +% back substitution +%x=zeros(n,1); +%x(n)=Aug(n,nb)/Aug(n,n); +%for i = n-1:-1:1 +% x(i)=(Aug(i,nb)-Aug(i,i+1:n)*x(i+1:n))/Aug(i,i); +%end diff --git a/lecture_11/lecture_11.aux b/lecture_11/lecture_11.aux new file mode 100644 index 0000000..cf3c530 --- /dev/null +++ b/lecture_11/lecture_11.aux @@ -0,0 +1,28 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel +\gdef\newlabel#1#2{\newlabelxx{#1}#2} +\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\ifx\hyper@anchor\@undefined +\let\contentsline\oldcontentsline +\let\newlabel\oldnewlabel +\fi} +\fi} +\global\let\hyper@last\relax +\gdef\HyperFirstAtBeginDocument#1{#1} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\providecommand \oddpage@label [2]{} +\@writefile{toc}{\contentsline {section}{\numberline {1}LU Decomposition}{1}{section.1}} +\newlabel{lu-decomposition}{{1}{1}{LU Decomposition}{section.1}{}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.0.1}efficient storage of matrices for solutions}{1}{subsubsection.1.0.1}} +\newlabel{efficient-storage-of-matrices-for-solutions}{{1.0.1}{1}{efficient storage of matrices for solutions}{subsubsection.1.0.1}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Pivoting for LU factorization}{2}{subsection.1.1}} +\newlabel{pivoting-for-lu-factorization}{{1.1}{2}{Pivoting for LU factorization}{subsection.1.1}{}} +\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Springs-masses\relax }}{5}{figure.caption.1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Cholesky Factorization}{6}{subsection.1.2}} +\newlabel{cholesky-factorization}{{1.2}{6}{Cholesky Factorization}{subsection.1.2}{}} diff --git a/lecture_11/lecture_11.bbl b/lecture_11/lecture_11.bbl new file mode 100644 index 0000000..e69de29 diff --git a/lecture_11/lecture_11.blg b/lecture_11/lecture_11.blg new file mode 100644 index 0000000..f6400af --- /dev/null +++ b/lecture_11/lecture_11.blg @@ -0,0 +1,48 @@ +This is BibTeX, Version 0.99d (TeX Live 2015/Debian) +Capacity: max_strings=35307, hash_size=35307, hash_prime=30011 +The top-level auxiliary file: lecture_11.aux +I found no \citation commands---while reading file lecture_11.aux +I found no \bibdata command---while reading file lecture_11.aux +I found no \bibstyle command---while reading file lecture_11.aux +You've used 0 entries, + 0 wiz_defined-function locations, + 83 strings with 494 characters, +and the built_in function-call counts, 0 in all, are: += -- 0 +> -- 0 +< -- 0 ++ -- 0 +- -- 0 +* -- 0 +:= -- 0 +add.period$ -- 0 +call.type$ -- 0 +change.case$ -- 0 +chr.to.int$ -- 0 +cite$ -- 0 +duplicate$ -- 0 +empty$ -- 0 +format.name$ -- 0 +if$ -- 0 +int.to.chr$ -- 0 +int.to.str$ -- 0 +missing$ -- 0 +newline$ -- 0 +num.names$ -- 0 +pop$ -- 0 +preamble$ -- 0 +purify$ -- 0 +quote$ -- 0 +skip$ -- 0 +stack$ -- 0 +substring$ -- 0 +swap$ -- 0 +text.length$ -- 0 +text.prefix$ -- 0 +top$ -- 0 +type$ -- 0 +warning$ -- 0 +while$ -- 0 +width$ -- 0 +write$ -- 0 +(There were 3 error messages) diff --git a/lecture_11/lecture_11.ipynb b/lecture_11/lecture_11.ipynb new file mode 100644 index 0000000..c290a47 --- /dev/null +++ b/lecture_11/lecture_11.ipynb @@ -0,0 +1,685 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "setdefaults" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# LU Decomposition\n", + "### efficient storage of matrices for solutions\n", + "\n", + "Considering the same solution set:\n", + "\n", + "$y=Ax$\n", + "\n", + "Assume that we can perform Gauss elimination and achieve this formula:\n", + "\n", + "$Ux=d$ \n", + "\n", + "Where, $U$ is an upper triangular matrix that we derived from Gauss elimination and $d$ is the set of dependent variables after Gauss elimination. \n", + "\n", + "Assume there is a lower triangular matrix, $L$, with ones on the diagonal and same dimensions of $U$ and the following is true:\n", + "\n", + "$L(Ux-d)=Ax-y=0$\n", + "\n", + "Now, $Ax=LUx$, so $A=LU$, and $y=Ld$.\n", + "\n", + "$2x_{1}+x_{2}=1$\n", + "\n", + "$x_{1}+3x_{2}=1$\n", + "\n", + "\n", + "$\\left[ \\begin{array}{cc}\n", + "2 & 1 \\\\\n", + "1 & 3 \\end{array} \\right]\n", + "\\left[\\begin{array}{c} \n", + "x_{1} \\\\ \n", + "x_{2} \\end{array}\\right]=\n", + "\\left[\\begin{array}{c} \n", + "1 \\\\\n", + "1\\end{array}\\right]$\n", + "\n", + "f21=0.5\n", + "\n", + "A(2,1)=1-1 = 0 \n", + "\n", + "A(2,2)=3-0.5=2.5\n", + "\n", + "y(2)=1-0.5=0.5\n", + "\n", + "$L(Ux-d)=\n", + "\\left[ \\begin{array}{cc}\n", + "1 & 0 \\\\\n", + "0.5 & 1 \\end{array} \\right]\n", + "\\left(\\left[ \\begin{array}{cc}\n", + "2 & 1 \\\\\n", + "0 & 2.5 \\end{array} \\right]\n", + "\\left[\\begin{array}{c} \n", + "x_{1} \\\\ \n", + "x_{2} \\end{array}\\right]-\n", + "\\left[\\begin{array}{c} \n", + "1 \\\\\n", + "0.5\\end{array}\\right]\\right)=0$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 2 1\n", + " 1 3\n", + "\n", + "L =\n", + "\n", + " 1.00000 0.00000\n", + " 0.50000 1.00000\n", + "\n", + "U =\n", + "\n", + " 2.00000 1.00000\n", + " 0.00000 2.50000\n", + "\n", + "ans =\n", + "\n", + " 2 1\n", + " 1 3\n", + "\n", + "d =\n", + "\n", + " 1.00000\n", + " 0.50000\n", + "\n", + "y =\n", + "\n", + " 1\n", + " 1\n", + "\n" + ] + } + ], + "source": [ + "A=[2,1;1,3]\n", + "L=[1,0;0.5,1]\n", + "U=[2,1;0,2.5]\n", + "L*U\n", + "\n", + "d=[1;0.5]\n", + "y=L*d" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Pivoting for LU factorization\n", + "\n", + "LU factorization uses the same method as Gauss elimination so it is also necessary to perform partial pivoting when creating the lower and upper triangular matrices. \n", + "\n", + "Matlab and Octave use pivoting in the command \n", + "\n", + "`[L,U,P]=lu(A)`\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "'lu' is a built-in function from the file libinterp/corefcn/lu.cc\n", + "\n", + " -- Built-in Function: [L, U] = lu (A)\n", + " -- Built-in Function: [L, U, P] = lu (A)\n", + " -- Built-in Function: [L, U, P, Q] = lu (S)\n", + " -- Built-in Function: [L, U, P, Q, R] = lu (S)\n", + " -- Built-in Function: [...] = lu (S, THRES)\n", + " -- Built-in Function: Y = lu (...)\n", + " -- Built-in Function: [...] = lu (..., \"vector\")\n", + " Compute the LU decomposition of A.\n", + "\n", + " If A is full subroutines from LAPACK are used and if A is sparse\n", + " then UMFPACK is used.\n", + "\n", + " The result is returned in a permuted form, according to the\n", + " optional return value P. For example, given the matrix 'a = [1, 2;\n", + " 3, 4]',\n", + "\n", + " [l, u, p] = lu (A)\n", + "\n", + " returns\n", + "\n", + " l =\n", + "\n", + " 1.00000 0.00000\n", + " 0.33333 1.00000\n", + "\n", + " u =\n", + "\n", + " 3.00000 4.00000\n", + " 0.00000 0.66667\n", + "\n", + " p =\n", + "\n", + " 0 1\n", + " 1 0\n", + "\n", + " The matrix is not required to be square.\n", + "\n", + " When called with two or three output arguments and a spare input\n", + " matrix, 'lu' does not attempt to perform sparsity preserving column\n", + " permutations. Called with a fourth output argument, the sparsity\n", + " preserving column transformation Q is returned, such that 'P * A *\n", + " Q = L * U'.\n", + "\n", + " Called with a fifth output argument and a sparse input matrix, 'lu'\n", + " attempts to use a scaling factor R on the input matrix such that 'P\n", + " * (R \\ A) * Q = L * U'. This typically leads to a sparser and more\n", + " stable factorization.\n", + "\n", + " An additional input argument THRES, that defines the pivoting\n", + " threshold can be given. THRES can be a scalar, in which case it\n", + " defines the UMFPACK pivoting tolerance for both symmetric and\n", + " unsymmetric cases. If THRES is a 2-element vector, then the first\n", + " element defines the pivoting tolerance for the unsymmetric UMFPACK\n", + " pivoting strategy and the second for the symmetric strategy. By\n", + " default, the values defined by 'spparms' are used ([0.1, 0.001]).\n", + "\n", + " Given the string argument \"vector\", 'lu' returns the values of P\n", + " and Q as vector values, such that for full matrix, 'A (P,:) = L *\n", + " U', and 'R(P,:) * A (:, Q) = L * U'.\n", + "\n", + " With two output arguments, returns the permuted forms of the upper\n", + " and lower triangular matrices, such that 'A = L * U'. With one\n", + " output argument Y, then the matrix returned by the LAPACK routines\n", + " is returned. If the input matrix is sparse then the matrix L is\n", + " embedded into U to give a return value similar to the full case.\n", + " For both full and sparse matrices, 'lu' loses the permutation\n", + " information.\n", + "\n", + " See also: luupdate, ilu, chol, hess, qr, qz, schur, svd.\n", + "\n", + "Additional help for built-in functions and operators is\n", + "available in the online version of the manual. Use the command\n", + "'doc ' to search the manual index.\n", + "\n", + "Help and information about Octave is also available on the WWW\n", + "at http://www.octave.org and via the help@octave.org\n", + "mailing list.\n" + ] + } + ], + "source": [ + "help lu" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t5e-05\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.0001\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.00015\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.0002\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.00025\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.0003\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t20\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t40\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t60\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t80\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t100\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\tLU decomp\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\tLU decomp\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\tOctave \\\\\n", + "\n", + "\t\n", + "\t\tOctave \\\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "% time LU solution vs backslash\n", + "t_lu=zeros(100,1);\n", + "t_bs=zeros(100,1);\n", + "for N=1:100\n", + " A=rand(N,N);\n", + " y=rand(N,1);\n", + " [L,U,P]=lu(A);\n", + "\n", + " tic; d=L\\y; x=U\\d; t_lu(N)=toc;\n", + "\n", + " tic; x=A\\y; t_bs(N)=toc;\n", + "end\n", + "plot([1:100],t_lu,[1:100],t_bs) \n", + "legend('LU decomp','Octave \\\\')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Consider the problem again from the intro to Linear Algebra, 4 masses are connected in series to 4 springs with K=10 N/m. What are the final positions of the masses? \n", + "\n", + "![Springs-masses](../lecture_09/mass_springs.svg)\n", + "\n", + "The masses haves the following amounts, 1, 2, 3, and 4 kg for masses 1-4. Using a FBD for each mass:\n", + "\n", + "$m_{1}g+k(x_{2}-x_{1})-kx_{1}=0$\n", + "\n", + "$m_{2}g+k(x_{3}-x_{2})-k(x_{2}-x_{1})=0$\n", + "\n", + "$m_{3}g+k(x_{4}-x_{3})-k(x_{3}-x_{2})=0$\n", + "\n", + "$m_{4}g-k(x_{4}-x_{3})=0$\n", + "\n", + "in matrix form:\n", + "\n", + "$\\left[ \\begin{array}{cccc}\n", + "2k & -k & 0 & 0 \\\\\n", + "-k & 2k & -k & 0 \\\\\n", + "0 & -k & 2k & -k \\\\\n", + "0 & 0 & -k & k \\end{array} \\right]\n", + "\\left[ \\begin{array}{c}\n", + "x_{1} \\\\\n", + "x_{2} \\\\\n", + "x_{3} \\\\\n", + "x_{4} \\end{array} \\right]=\n", + "\\left[ \\begin{array}{c}\n", + "m_{1}g \\\\\n", + "m_{2}g \\\\\n", + "m_{3}g \\\\\n", + "m_{4}g \\end{array} \\right]$" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K =\n", + "\n", + " 20 -10 0 0\n", + " -10 20 -10 0\n", + " 0 -10 20 -10\n", + " 0 0 -10 10\n", + "\n", + "y =\n", + "\n", + " 9.8100\n", + " 19.6200\n", + " 29.4300\n", + " 39.2400\n", + "\n" + ] + } + ], + "source": [ + "k=10; % N/m\n", + "m1=1; % kg\n", + "m2=2;\n", + "m3=3;\n", + "m4=4;\n", + "g=9.81; % m/s^2\n", + "K=[2*k -k 0 0; -k 2*k -k 0; 0 -k 2*k -k; 0 0 -k k]\n", + "y=[m1*g;m2*g;m3*g;m4*g]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This matrix, K, is symmetric. \n", + "\n", + "`K(i,j)==K(j,i)`\n", + "\n", + "Now we can use,\n", + "\n", + "## Cholesky Factorization\n", + "\n", + "We can decompose the matrix, K into two matrices, $U$ and $U^{T}$, where\n", + "\n", + "$K=U^{T}U$\n", + "\n", + "each of the components of U can be calculated with the following equations:\n", + "\n", + "$u_{ii}=\\sqrt{a_{ii}-\\sum_{k=1}^{i-1}u_{ki}^{2}}$\n", + "\n", + "$u_{ij}=\\frac{a_{ij}-\\sum_{k=1}^{i-1}u_{ki}u_{kj}}{u_{ii}}$\n", + "\n", + "so for K" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K =\n", + "\n", + " 20 -10 0 0\n", + " -10 20 -10 0\n", + " 0 -10 20 -10\n", + " 0 0 -10 10\n", + "\n" + ] + } + ], + "source": [ + "K" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "u11 = 4.4721\n", + "u12 = -2.2361\n", + "u13 = 0\n", + "u14 = 0\n", + "u22 = 3.8730\n", + "u23 = -2.5820\n", + "u24 = 0\n", + "u33 = 3.6515\n", + "u34 = -2.7386\n", + "u44 = 1.5811\n", + "U =\n", + "\n", + " 4.47214 -2.23607 0.00000 0.00000\n", + " 0.00000 3.87298 -2.58199 0.00000\n", + " 0.00000 0.00000 3.65148 -2.73861\n", + " 0.00000 0.00000 0.00000 1.58114\n", + "\n" + ] + } + ], + "source": [ + "u11=sqrt(K(1,1))\n", + "u12=(K(1,2))/u11\n", + "u13=(K(1,3))/u11\n", + "u14=(K(1,4))/u11\n", + "u22=sqrt(K(2,2)-u12^2)\n", + "u23=(K(2,3)-u12*u13)/u22\n", + "u24=(K(2,4)-u12*u14)/u22\n", + "u33=sqrt(K(3,3)-u13^2-u23^2)\n", + "u34=(K(3,4)-u13*u14-u23*u24)/u33\n", + "u44=sqrt(K(4,4)-u14^2-u24^2-u34^2)\n", + "U=[u11,u12,u13,u14;0,u22,u23,u24;0,0,u33,u34;0,0,0,u44]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 20.00000 -10.00000 0.00000 0.00000\n", + " -10.00000 20.00000 -10.00000 0.00000\n", + " 0.00000 -10.00000 20.00000 -10.00000\n", + " 0.00000 0.00000 -10.00000 10.00000\n", + "\n" + ] + } + ], + "source": [ + "U'*U" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "average time spent for Cholesky factored solution = 1.623154e-05+/-1.166726e-05\n", + "average time spent for backslash solution = 1.675844e-05+/-1.187234e-05\n" + ] + } + ], + "source": [ + "% time solution for Cholesky vs backslash\n", + "t_chol=zeros(1000,1);\n", + "t_bs=zeros(1000,1);\n", + "for i=1:1000\n", + " tic; d=U'*y; x=U\\d; t_chol(i)=toc;\n", + " tic; x=K\\y; t_bs(i)=toc;\n", + "end\n", + "fprintf('average time spent for Cholesky factored solution = %e+/-%e',mean(t_chol),std(t_chol))\n", + "\n", + "fprintf('average time spent for backslash solution = %e+/-%e',mean(t_bs),std(t_bs))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_11/lecture_11.log b/lecture_11/lecture_11.log new file mode 100644 index 0000000..10423a7 --- /dev/null +++ b/lecture_11/lecture_11.log @@ -0,0 +1,826 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015/Debian) (preloaded format=pdflatex 2017.1.11) 22 FEB 2017 22:01 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**lecture_11.tex +(./lecture_11.tex +LaTeX2e <2016/02/01> +Babel <3.9q> and hyphenation patterns for 81 language(s) loaded. +(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls +Document Class: article 2014/09/29 v1.4h Standard LaTeX document class +(/usr/share/texlive/texmf-dist/tex/latex/base/size11.clo +File: size11.clo 2014/09/29 v1.4h Standard LaTeX file (size option) +) +\c@part=\count79 +\c@section=\count80 +\c@subsection=\count81 +\c@subsubsection=\count82 +\c@paragraph=\count83 +\c@subparagraph=\count84 +\c@figure=\count85 +\c@table=\count86 +\abovecaptionskip=\skip41 +\belowcaptionskip=\skip42 +\bibindent=\dimen102 +) +(/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty +Package: fontenc 2005/09/27 v1.99g Standard LaTeX package + +(/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.def +File: t1enc.def 2005/09/27 v1.99g Standard LaTeX file +LaTeX Font Info: Redeclaring font encoding T1 on input line 48. +)) +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/mathpazo.sty +Package: mathpazo 2005/04/12 PSNFSS-v9.2a Palatino w/ Pazo Math (D.Puga, WaS) +\symupright=\mathgroup4 +) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2014/10/28 v1.0g Enhanced LaTeX Graphics (DPC,SPQR) + +(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +Package: keyval 2014/10/28 v1.15 key=value parser (DPC) +\KV@toks@=\toks14 +) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2016/01/03 v1.0q Standard LaTeX Graphics (DPC,SPQR) + +(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg +File: graphics.cfg 2010/04/23 v1.9 graphics configuration of TeX Live +) +Package graphics Info: Driver file: pdftex.def on input line 95. + +(/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def +File: pdftex.def 2011/05/27 v0.06d Graphics/color for pdfTeX + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty +Package: infwarerr 2010/04/08 v1.3 Providing info/warning/error messages (HO) +) +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty +Package: ltxcmds 2011/11/09 v1.22 LaTeX kernel commands for general use (HO) +) +\Gread@gobject=\count87 +)) +\Gin@req@height=\dimen103 +\Gin@req@width=\dimen104 +) +(/usr/share/texlive/texmf-dist/tex/latex/caption/caption.sty +Package: caption 2016/02/21 v3.3-144 Customizing captions (AR) + +(/usr/share/texlive/texmf-dist/tex/latex/caption/caption3.sty +Package: caption3 2016/02/04 v1.7-139 caption3 kernel (AR) +Package caption3 Info: TeX engine: e-TeX on input line 67. +\captionmargin=\dimen105 +\captionmargin@=\dimen106 +\captionwidth=\dimen107 +\caption@tempdima=\dimen108 +\caption@indent=\dimen109 +\caption@parindent=\dimen110 +\caption@hangindent=\dimen111 +) +\c@ContinuedFloat=\count88 +) +(/usr/share/texlive/texmf-dist/tex/latex/adjustbox/adjustbox.sty +Package: adjustbox 2012/05/21 v1.0 Adjusting TeX boxes (trim, clip, ...) + +(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty +Package: xkeyval 2014/12/03 v2.7a package option processing (HA) + +(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex +(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex +\XKV@toks=\toks15 +\XKV@tempa@toks=\toks16 +) +\XKV@depth=\count89 +File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) +)) +(/usr/share/texlive/texmf-dist/tex/latex/adjustbox/adjcalc.sty +Package: adjcalc 2012/05/16 v1.1 Provides advanced setlength with multiple back +-ends (calc, etex, pgfmath) +) +(/usr/share/texlive/texmf-dist/tex/latex/adjustbox/trimclip.sty +Package: trimclip 2012/05/16 v1.0 Trim and clip general TeX material + +(/usr/share/texlive/texmf-dist/tex/latex/collectbox/collectbox.sty +Package: collectbox 2012/05/17 v0.4b Collect macro arguments as boxes +\collectedbox=\box26 +) +\tc@llx=\dimen112 +\tc@lly=\dimen113 +\tc@urx=\dimen114 +\tc@ury=\dimen115 +Package trimclip Info: Using driver 'tc-pdftex.def'. + +(/usr/share/texlive/texmf-dist/tex/latex/adjustbox/tc-pdftex.def +File: tc-pdftex.def 2012/05/13 v1.0 Clipping driver for pdftex +)) +\adjbox@Width=\dimen116 +\adjbox@Height=\dimen117 +\adjbox@Depth=\dimen118 +\adjbox@Totalheight=\dimen119 + +(/usr/share/texlive/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty +Package: ifoddpage 2011/09/13 v1.0 Conditionals for odd/even page detection +\c@checkoddpage=\count90 +) +(/usr/share/texlive/texmf-dist/tex/latex/varwidth/varwidth.sty +Package: varwidth 2009/03/30 ver 0.92; Variable-width minipages +\@vwid@box=\box27 +\sift@deathcycles=\count91 +\@vwid@loff=\dimen120 +\@vwid@roff=\dimen121 +)) +(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty +Package: xcolor 2007/01/21 v2.11 LaTeX color extensions (UK) + +(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg +File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive +) +Package xcolor Info: Driver file: pdftex.def on input line 225. +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1337. +Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1341. +Package xcolor Info: Model `RGB' extended on input line 1353. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1355. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1356. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1357. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1358. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1359. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1360. +) +(/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty +Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC) +\@enLab=\toks17 +) +(/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +Package: geometry 2010/09/12 v5.6 Page Geometry + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifpdf.sty +Package: ifpdf 2011/01/30 v2.3 Provides the ifpdf switch (HO) +Package ifpdf Info: pdfTeX in PDF mode is detected. +) +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifvtex.sty +Package: ifvtex 2010/03/01 v1.5 Detect VTeX and its facilities (HO) +Package ifvtex Info: VTeX not detected. +) +(/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty +Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional +) +\Gm@cnth=\count92 +\Gm@cntv=\count93 +\c@Gm@tempcnt=\count94 +\Gm@bindingoffset=\dimen122 +\Gm@wd@mp=\dimen123 +\Gm@odd@mp=\dimen124 +\Gm@even@mp=\dimen125 +\Gm@layoutwidth=\dimen126 +\Gm@layoutheight=\dimen127 +\Gm@layouthoffset=\dimen128 +\Gm@layoutvoffset=\dimen129 +\Gm@dimlist=\toks18 +) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2016/03/03 v2.15a AMS math features +\@mathmargin=\skip43 + +For additional information on amsmath, use the `?' option. +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2000/06/29 v2.01 AMS text + +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks19 +\ex@=\dimen130 +)) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen131 +) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 1999/12/14 v2.01 operator names +) +\inf@bad=\count95 +LaTeX Info: Redefining \frac on input line 199. +\uproot@=\count96 +\leftroot@=\count97 +LaTeX Info: Redefining \overline on input line 297. +\classnum@=\count98 +\DOTSCASE@=\count99 +LaTeX Info: Redefining \ldots on input line 394. +LaTeX Info: Redefining \dots on input line 397. +LaTeX Info: Redefining \cdots on input line 518. +\Mathstrutbox@=\box28 +\strutbox@=\box29 +\big@size=\dimen132 +LaTeX Font Info: Redeclaring font encoding OML on input line 630. +LaTeX Font Info: Redeclaring font encoding OMS on input line 631. +\macc@depth=\count100 +\c@MaxMatrixCols=\count101 +\dotsspace@=\muskip10 +\c@parentequation=\count102 +\dspbrk@lvl=\count103 +\tag@help=\toks20 +\row@=\count104 +\column@=\count105 +\maxfields@=\count106 +\andhelp@=\toks21 +\eqnshift@=\dimen133 +\alignsep@=\dimen134 +\tagshift@=\dimen135 +\tagwidth@=\dimen136 +\totwidth@=\dimen137 +\lineht@=\dimen138 +\@envbody=\toks22 +\multlinegap=\skip44 +\multlinetaggap=\skip45 +\mathdisplay@stack=\toks23 +LaTeX Info: Redefining \[ on input line 2735. +LaTeX Info: Redefining \] on input line 2736. +) +(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty +Package: amssymb 2013/01/14 v3.01 AMS font symbols + +(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty +Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support +\symAMSa=\mathgroup5 +\symAMSb=\mathgroup6 +LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' +(Font) U/euf/m/n --> U/euf/b/n on input line 106. +)) +(/usr/share/texlive/texmf-dist/tex/latex/base/textcomp.sty +Package: textcomp 2005/09/27 v1.99g Standard LaTeX package +Package textcomp Info: Sub-encoding information: +(textcomp) 5 = only ISO-Adobe without \textcurrency +(textcomp) 4 = 5 + \texteuro +(textcomp) 3 = 4 + \textohm +(textcomp) 2 = 3 + \textestimated + \textcurrency +(textcomp) 1 = TS1 - \textcircled - \t +(textcomp) 0 = TS1 (full) +(textcomp) Font families with sub-encoding setting implement +(textcomp) only a restricted character set as indicated. +(textcomp) Family '?' is the default used for unknown fonts. +(textcomp) See the documentation for details. +Package textcomp Info: Setting ? sub-encoding to TS1/1 on input line 79. + +(/usr/share/texlive/texmf-dist/tex/latex/base/ts1enc.def +File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file +) +LaTeX Info: Redefining \oldstylenums on input line 334. +Package textcomp Info: Setting cmr sub-encoding to TS1/0 on input line 349. +Package textcomp Info: Setting cmss sub-encoding to TS1/0 on input line 350. +Package textcomp Info: Setting cmtt sub-encoding to TS1/0 on input line 351. +Package textcomp Info: Setting cmvtt sub-encoding to TS1/0 on input line 352. +Package textcomp Info: Setting cmbr sub-encoding to TS1/0 on input line 353. +Package textcomp Info: Setting cmtl sub-encoding to TS1/0 on input line 354. +Package textcomp Info: Setting ccr sub-encoding to TS1/0 on input line 355. +Package textcomp Info: Setting ptm sub-encoding to TS1/4 on input line 356. +Package textcomp Info: Setting pcr sub-encoding to TS1/4 on input line 357. +Package textcomp Info: Setting phv sub-encoding to TS1/4 on input line 358. +Package textcomp Info: Setting ppl sub-encoding to TS1/3 on input line 359. +Package textcomp Info: Setting pag sub-encoding to TS1/4 on input line 360. +Package textcomp Info: Setting pbk sub-encoding to TS1/4 on input line 361. +Package textcomp Info: Setting pnc sub-encoding to TS1/4 on input line 362. +Package textcomp Info: Setting pzc sub-encoding to TS1/4 on input line 363. +Package textcomp Info: Setting bch sub-encoding to TS1/4 on input line 364. +Package textcomp Info: Setting put sub-encoding to TS1/5 on input line 365. +Package textcomp Info: Setting uag sub-encoding to TS1/5 on input line 366. +Package textcomp Info: Setting ugq sub-encoding to TS1/5 on input line 367. +Package textcomp Info: Setting ul8 sub-encoding to TS1/4 on input line 368. +Package textcomp Info: Setting ul9 sub-encoding to TS1/4 on input line 369. +Package textcomp Info: Setting augie sub-encoding to TS1/5 on input line 370. +Package textcomp Info: Setting dayrom sub-encoding to TS1/3 on input line 371. +Package textcomp Info: Setting dayroms sub-encoding to TS1/3 on input line 372. + +Package textcomp Info: Setting pxr sub-encoding to TS1/0 on input line 373. +Package textcomp Info: Setting pxss sub-encoding to TS1/0 on input line 374. +Package textcomp Info: Setting pxtt sub-encoding to TS1/0 on input line 375. +Package textcomp Info: Setting txr sub-encoding to TS1/0 on input line 376. +Package textcomp Info: Setting txss sub-encoding to TS1/0 on input line 377. +Package textcomp Info: Setting txtt sub-encoding to TS1/0 on input line 378. +Package textcomp Info: Setting lmr sub-encoding to TS1/0 on input line 379. +Package textcomp Info: Setting lmdh sub-encoding to TS1/0 on input line 380. +Package textcomp Info: Setting lmss sub-encoding to TS1/0 on input line 381. +Package textcomp Info: Setting lmssq sub-encoding to TS1/0 on input line 382. +Package textcomp Info: Setting lmvtt sub-encoding to TS1/0 on input line 383. +Package textcomp Info: Setting lmtt sub-encoding to TS1/0 on input line 384. +Package textcomp Info: Setting qhv sub-encoding to TS1/0 on input line 385. +Package textcomp Info: Setting qag sub-encoding to TS1/0 on input line 386. +Package textcomp Info: Setting qbk sub-encoding to TS1/0 on input line 387. +Package textcomp Info: Setting qcr sub-encoding to TS1/0 on input line 388. +Package textcomp Info: Setting qcs sub-encoding to TS1/0 on input line 389. +Package textcomp Info: Setting qpl sub-encoding to TS1/0 on input line 390. +Package textcomp Info: Setting qtm sub-encoding to TS1/0 on input line 391. +Package textcomp Info: Setting qzc sub-encoding to TS1/0 on input line 392. +Package textcomp Info: Setting qhvc sub-encoding to TS1/0 on input line 393. +Package textcomp Info: Setting futs sub-encoding to TS1/4 on input line 394. +Package textcomp Info: Setting futx sub-encoding to TS1/4 on input line 395. +Package textcomp Info: Setting futj sub-encoding to TS1/4 on input line 396. +Package textcomp Info: Setting hlh sub-encoding to TS1/3 on input line 397. +Package textcomp Info: Setting hls sub-encoding to TS1/3 on input line 398. +Package textcomp Info: Setting hlst sub-encoding to TS1/3 on input line 399. +Package textcomp Info: Setting hlct sub-encoding to TS1/5 on input line 400. +Package textcomp Info: Setting hlx sub-encoding to TS1/5 on input line 401. +Package textcomp Info: Setting hlce sub-encoding to TS1/5 on input line 402. +Package textcomp Info: Setting hlcn sub-encoding to TS1/5 on input line 403. +Package textcomp Info: Setting hlcw sub-encoding to TS1/5 on input line 404. +Package textcomp Info: Setting hlcf sub-encoding to TS1/5 on input line 405. +Package textcomp Info: Setting pplx sub-encoding to TS1/3 on input line 406. +Package textcomp Info: Setting pplj sub-encoding to TS1/3 on input line 407. +Package textcomp Info: Setting ptmx sub-encoding to TS1/4 on input line 408. +Package textcomp Info: Setting ptmj sub-encoding to TS1/4 on input line 409. +) +(/usr/share/texlive/texmf-dist/tex/latex/upquote/upquote.sty +Package: upquote 2012/04/19 v1.3 upright-quote and grave-accent glyphs in verba +tim +) +(/usr/share/texlive/texmf-dist/tex/latex/eurosym/eurosym.sty +Package: eurosym 1998/08/06 v1.1 European currency symbol ``Euro'' +\@eurobox=\box30 +) +(/usr/share/texlive/texmf-dist/tex/latex/ucs/ucs.sty +Package: ucs 2013/05/11 v2.2 UCS: Unicode input support + +(/usr/share/texlive/texmf-dist/tex/latex/ucs/data/uni-global.def +File: uni-global.def 2013/05/13 UCS: Unicode global data +) +\uc@secondtry=\count107 +\uc@combtoks=\toks24 +\uc@combtoksb=\toks25 +\uc@temptokena=\toks26 +) +(/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty +Package: inputenc 2015/03/17 v1.2c Input encoding file +\inpenc@prehook=\toks27 +\inpenc@posthook=\toks28 + +(/usr/share/texlive/texmf-dist/tex/latex/ucs/utf8x.def +File: utf8x.def 2004/10/17 UCS: Input encoding UTF-8 +)) +(/usr/share/texlive/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty +Package: fancyvrb 2008/02/07 + +Style option: `fancyvrb' v2.7a, with DG/SPQR fixes, and firstline=lastline fix +<2008/02/07> (tvz) +\FV@CodeLineNo=\count108 +\FV@InFile=\read1 +\FV@TabBox=\box31 +\c@FancyVerbLine=\count109 +\FV@StepNumber=\count110 +\FV@OutFile=\write3 +) +(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grffile.sty +Package: grffile 2012/04/05 v1.16 Extended file name support for graphics (HO) + +(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty +Package: kvoptions 2011/06/30 v3.11 Key value format for package options (HO) + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty +Package: kvsetkeys 2012/04/25 v1.16 Key value parser (HO) + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/etexcmds.sty +Package: etexcmds 2011/02/16 v1.5 Avoid name clashes with e-TeX commands (HO) + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifluatex.sty +Package: ifluatex 2010/03/01 v1.3 Provides the ifluatex switch (HO) +Package ifluatex Info: LuaTeX not detected. +) +Package etexcmds Info: Could not find \expanded. +(etexcmds) That can mean that you are not using pdfTeX 1.50 or +(etexcmds) that some package has redefined \expanded. +(etexcmds) In the latter case, load this package earlier. +))) +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/pdftexcmds.sty +Package: pdftexcmds 2011/11/29 v0.20 Utility functions of pdfTeX for LuaTeX (HO +) +Package pdftexcmds Info: LuaTeX not detected. +Package pdftexcmds Info: \pdf@primitive is available. +Package pdftexcmds Info: \pdf@ifprimitive is available. +Package pdftexcmds Info: \pdfdraftmode found. +) +Package grffile Info: Option `multidot' is set to `true'. +Package grffile Info: Option `extendedchars' is set to `false'. +Package grffile Info: Option `space' is set to `true'. +Package grffile Info: \Gin@ii of package `graphicx' fixed on input line 486. +) +(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty +Package: hyperref 2012/11/06 v6.83m Hypertext links for LaTeX + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty +Package: hobsub-hyperref 2012/05/28 v1.13 Bundle oberdiek, subset hyperref (HO) + + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty +Package: hobsub-generic 2012/05/28 v1.13 Bundle oberdiek, subset generic (HO) +Package: hobsub 2012/05/28 v1.13 Construct package bundles (HO) +Package hobsub Info: Skipping package `infwarerr' (already loaded). +Package hobsub Info: Skipping package `ltxcmds' (already loaded). +Package hobsub Info: Skipping package `ifluatex' (already loaded). +Package hobsub Info: Skipping package `ifvtex' (already loaded). +Package: intcalc 2007/09/27 v1.1 Expandable calculations with integers (HO) +Package hobsub Info: Skipping package `ifpdf' (already loaded). +Package hobsub Info: Skipping package `etexcmds' (already loaded). +Package hobsub Info: Skipping package `kvsetkeys' (already loaded). +Package: kvdefinekeys 2011/04/07 v1.3 Define keys (HO) +Package hobsub Info: Skipping package `pdftexcmds' (already loaded). +Package: pdfescape 2011/11/25 v1.13 Implements pdfTeX's escape features (HO) +Package: bigintcalc 2012/04/08 v1.3 Expandable calculations on big integers (HO +) +Package: bitset 2011/01/30 v1.1 Handle bit-vector datatype (HO) +Package: uniquecounter 2011/01/30 v1.2 Provide unlimited unique counter (HO) +) +Package hobsub Info: Skipping package `hobsub' (already loaded). +Package: letltxmacro 2010/09/02 v1.4 Let assignment for LaTeX macros (HO) +Package: hopatch 2012/05/28 v1.2 Wrapper for package hooks (HO) +Package: xcolor-patch 2011/01/30 xcolor patch +Package: atveryend 2011/06/30 v1.8 Hooks at the very end of document (HO) +Package atveryend Info: \enddocument detected (standard20110627). +Package: atbegshi 2011/10/05 v1.16 At begin shipout hook (HO) +Package: refcount 2011/10/16 v3.4 Data extraction from label references (HO) +Package: hycolor 2011/01/30 v1.7 Color options for hyperref/bookmark (HO) +) +(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty +Package: auxhook 2011/03/04 v1.3 Hooks for auxiliary files (HO) +) +\@linkdim=\dimen139 +\Hy@linkcounter=\count111 +\Hy@pagecounter=\count112 + +(/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def +File: pd1enc.def 2012/11/06 v6.83m Hyperref: PDFDocEncoding definition (HO) +) +\Hy@SavedSpaceFactor=\count113 + +(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg +File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive +) +Package hyperref Info: Hyper figures OFF on input line 4443. +Package hyperref Info: Link nesting OFF on input line 4448. +Package hyperref Info: Hyper index ON on input line 4451. +Package hyperref Info: Plain pages OFF on input line 4458. +Package hyperref Info: Backreferencing OFF on input line 4463. +Package hyperref Info: Implicit mode ON; LaTeX internals redefined. +Package hyperref Info: Bookmarks ON on input line 4688. +\c@Hy@tempcnt=\count114 + +(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty +\Urlmuskip=\muskip11 +Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. +) +LaTeX Info: Redefining \url on input line 5041. +\XeTeXLinkMargin=\dimen140 +\Fld@menulength=\count115 +\Field@Width=\dimen141 +\Fld@charsize=\dimen142 +Package hyperref Info: Hyper figures OFF on input line 6295. +Package hyperref Info: Link nesting OFF on input line 6300. +Package hyperref Info: Hyper index ON on input line 6303. +Package hyperref Info: backreferencing OFF on input line 6310. +Package hyperref Info: Link coloring OFF on input line 6315. +Package hyperref Info: Link coloring with OCG OFF on input line 6320. +Package hyperref Info: PDF/A mode OFF on input line 6325. +LaTeX Info: Redefining \ref on input line 6365. +LaTeX Info: Redefining \pageref on input line 6369. +\Hy@abspage=\count116 +\c@Item=\count117 +\c@Hfootnote=\count118 +) + +Package hyperref Message: Driver (autodetected): hpdftex. + +(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def +File: hpdftex.def 2012/11/06 v6.83m Hyperref driver for pdfTeX +\Fld@listcount=\count119 +\c@bookmark@seq@number=\count120 + +(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty +Package: rerunfilecheck 2011/04/15 v1.7 Rerun checks for auxiliary files (HO) +Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2 +82. +) +\Hy@SectionHShift=\skip46 +) +(/usr/share/texlive/texmf-dist/tex/latex/tools/longtable.sty +Package: longtable 2014/10/28 v4.11 Multi-page Table package (DPC) +\LTleft=\skip47 +\LTright=\skip48 +\LTpre=\skip49 +\LTpost=\skip50 +\LTchunksize=\count121 +\LTcapwidth=\dimen143 +\LT@head=\box32 +\LT@firsthead=\box33 +\LT@foot=\box34 +\LT@lastfoot=\box35 +\LT@cols=\count122 +\LT@rows=\count123 +\c@LT@tables=\count124 +\c@LT@chunks=\count125 +\LT@p@ftn=\toks29 +) +(/usr/share/texlive/texmf-dist/tex/latex/booktabs/booktabs.sty +Package: booktabs 2005/04/14 v1.61803 publication quality tables +\heavyrulewidth=\dimen144 +\lightrulewidth=\dimen145 +\cmidrulewidth=\dimen146 +\belowrulesep=\dimen147 +\belowbottomsep=\dimen148 +\aboverulesep=\dimen149 +\abovetopsep=\dimen150 +\cmidrulesep=\dimen151 +\cmidrulekern=\dimen152 +\defaultaddspace=\dimen153 +\@cmidla=\count126 +\@cmidlb=\count127 +\@aboverulesep=\dimen154 +\@belowrulesep=\dimen155 +\@thisruleclass=\count128 +\@lastruleclass=\count129 +\@thisrulewidth=\dimen156 +) +(/usr/share/texlive/texmf-dist/tex/latex/enumitem/enumitem.sty +Package: enumitem 2011/09/28 v3.5.2 Customized lists +\labelindent=\skip51 +\enit@outerparindent=\dimen157 +\enit@toks=\toks30 +\enit@inbox=\box36 +\enitdp@description=\count130 +) +(/usr/share/texlive/texmf-dist/tex/generic/ulem/ulem.sty +\UL@box=\box37 +\UL@hyphenbox=\box38 +\UL@skip=\skip52 +\UL@hook=\toks31 +\UL@height=\dimen158 +\UL@pe=\count131 +\UL@pixel=\dimen159 +\ULC@box=\box39 +Package: ulem 2012/05/18 +\ULdepth=\dimen160 +) +Package hyperref Info: Option `breaklinks' set `true' on input line 264. +Package hyperref Info: Option `colorlinks' set `true' on input line 264. + (./lecture_11.aux) +\openout1 = `lecture_11.aux'. + +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 271. +LaTeX Font Info: Try loading font information for TS1+cmr on input line 271. + + +(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmr.fd +File: ts1cmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions +) +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 271. +LaTeX Font Info: ... okay on input line 271. +LaTeX Font Info: Try loading font information for T1+ppl on input line 271. + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/t1ppl.fd +File: t1ppl.fd 2001/06/04 font definitions for T1/ppl. +) +(/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count132 +\scratchdimen=\dimen161 +\scratchbox=\box40 +\nofMPsegments=\count133 +\nofMParguments=\count134 +\everyMPshowfont=\toks32 +\MPscratchCnt=\count135 +\MPscratchDim=\dimen162 +\MPnumerator=\count136 +\makeMPintoPDFobject=\count137 +\everyMPtoPDFconversion=\toks33 +) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty +Package: epstopdf-base 2010/02/09 v2.5 Base part for package epstopdf + +(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grfext.sty +Package: grfext 2010/08/19 v1.1 Manage graphics extensions (HO) +) +Package grfext Info: Graphics extension search list: +(grfext) [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE +G,.JBIG2,.JB2,.eps] +(grfext) \AppendGraphicsExtensions on input line 452. + +(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg +File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv +e +)) +Package caption Info: Begin \AtBeginDocument code. +Package caption Info: hyperref package is loaded. +Package caption Info: longtable package is loaded. + +(/usr/share/texlive/texmf-dist/tex/latex/caption/ltcaption.sty +Package: ltcaption 2013/06/09 v1.4-94 longtable captions (AR) +) +Package caption Info: End \AtBeginDocument code. + +*geometry* driver: auto-detecting +*geometry* detected driver: pdftex +*geometry* verbose mode - [ preamble ] result: +* driver: pdftex +* paper: +* layout: +* layoutoffset:(h,v)=(0.0pt,0.0pt) +* modes: +* h-part:(L,W,R)=(72.26999pt, 469.75502pt, 72.26999pt) +* v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt) +* \paperwidth=614.295pt +* \paperheight=794.96999pt +* \textwidth=469.75502pt +* \textheight=650.43001pt +* \oddsidemargin=0.0pt +* \evensidemargin=0.0pt +* \topmargin=-37.0pt +* \headheight=12.0pt +* \headsep=25.0pt +* \topskip=11.0pt +* \footskip=30.0pt +* \marginparwidth=59.0pt +* \marginparsep=10.0pt +* \columnsep=10.0pt +* \skip\footins=10.0pt plus 4.0pt minus 2.0pt +* \hoffset=0.0pt +* \voffset=0.0pt +* \mag=1000 +* \@twocolumnfalse +* \@twosidefalse +* \@mparswitchfalse +* \@reversemarginfalse +* (1in=72.27pt=25.4mm, 1cm=28.453pt) + +(/usr/share/texlive/texmf-dist/tex/latex/ucs/ucsencs.def +File: ucsencs.def 2011/01/21 Fixes to fontencodings LGR, T3 +) +\AtBeginShipoutBox=\box41 +Package hyperref Info: Link coloring ON on input line 271. + +(/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty +Package: nameref 2012/10/27 v2.43 Cross-referencing by name of section + +(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty +Package: gettitlestring 2010/12/03 v1.4 Cleanup title references (HO) +) +\c@section@level=\count138 +) +LaTeX Info: Redefining \ref on input line 271. +LaTeX Info: Redefining \pageref on input line 271. +LaTeX Info: Redefining \nameref on input line 271. + +(./lecture_11.out) (./lecture_11.out) +\@outlinefile=\write4 +\openout4 = `lecture_11.out'. + +LaTeX Font Info: Try loading font information for OT1+ppl on input line 275. + + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/ot1ppl.fd +File: ot1ppl.fd 2001/06/04 font definitions for OT1/ppl. +) +LaTeX Font Info: Try loading font information for OML+zplm on input line 275 +. + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/omlzplm.fd +File: omlzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OML/zplm. +) +LaTeX Font Info: Try loading font information for OMS+zplm on input line 275 +. + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/omszplm.fd +File: omszplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMS/zplm. +) +LaTeX Font Info: Try loading font information for OMX+zplm on input line 275 +. + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/omxzplm.fd +File: omxzplm.fd 2002/09/08 Fontinst v1.914 font definitions for OMX/zplm. +) +LaTeX Font Info: Try loading font information for OT1+zplm on input line 275 +. + +(/usr/share/texlive/texmf-dist/tex/latex/psnfss/ot1zplm.fd +File: ot1zplm.fd 2002/09/08 Fontinst v1.914 font definitions for OT1/zplm. +) +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 12.50409pt on input line 275. +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 9.37807pt on input line 275. +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 7.29405pt on input line 275. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 12.50409pt on input line 275. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 9.37807pt on input line 275. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 7.29405pt on input line 275. + + +LaTeX Warning: No \author given. + +LaTeX Font Info: Try loading font information for T1+cmtt on input line 279. + +(/usr/share/texlive/texmf-dist/tex/latex/base/t1cmtt.fd +File: t1cmtt.fd 2014/09/29 v2.5h Standard LaTeX font definitions +) +LaTeX Font Info: Font shape `T1/ppl/bx/n' in size <14.4> not available +(Font) Font shape `T1/ppl/b/n' tried instead on input line 287. +LaTeX Font Info: Font shape `T1/ppl/bx/n' in size <10.95> not available +(Font) Font shape `T1/ppl/b/n' tried instead on input line 290. + + +Package hyperref Warning: Difference (2) between bookmark levels is greater +(hyperref) than one, level fixed on input line 290. + +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 11.40997pt on input line 294. +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 8.33606pt on input line 294. +LaTeX Font Info: Font shape `U/msa/m/n' will be +(Font) scaled to size 6.25204pt on input line 294. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 11.40997pt on input line 294. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 8.33606pt on input line 294. +LaTeX Font Info: Font shape `U/msb/m/n' will be +(Font) scaled to size 6.25204pt on input line 294. +[1 + +{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] +LaTeX Font Info: Font shape `T1/ppl/bx/n' in size <12> not available +(Font) Font shape `T1/ppl/b/n' tried instead on input line 372. +LaTeX Font Info: Try loading font information for TS1+cmtt on input line 387 +. + +(/usr/share/texlive/texmf-dist/tex/latex/base/ts1cmtt.fd +File: ts1cmtt.fd 2014/09/29 v2.5h Standard LaTeX font definitions +) [2] [3] +LaTeX Font Info: Font shape `T1/cmtt/bx/n' in size <10.95> not available +(Font) Font shape `T1/cmtt/m/n' tried instead on input line 473. + + +File: lecture_11_files/lecture_11_6_0.pdf Graphic file (type pdf) + + +Package pdftex.def Info: lecture_11_files/lecture_11_6_0.pdf used on input line + 487. +(pdftex.def) Requested size: 449.6789pt x 337.25917pt. + [4] +Underfull \hbox (badness 10000) in paragraph at lines 489--490 + + [] + + +File: mass_springs.png Graphic file (type png) + +Package pdftex.def Info: mass_springs.png used on input line 497. +(pdftex.def) Requested size: 89.93611pt x 152.576pt. + +[5 <./lecture_11_files/lecture_11_6_0.pdf> <./mass_springs.png>] [6] [7] +Package atveryend Info: Empty hook `BeforeClearDocument' on input line 656. + +[8] +Package atveryend Info: Empty hook `AfterLastShipout' on input line 656. + (./lecture_11.aux) +Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 656. +Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 656. +Package rerunfilecheck Info: File `lecture_11.out' has not changed. +(rerunfilecheck) Checksum: 06B2288B56AA590C3216AAE67971C54B;297. +Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 656. + ) +Here is how much of TeX's memory you used: + 10920 strings out of 493029 + 163179 string characters out of 6136234 + 268780 words of memory out of 5000000 + 14206 multiletter control sequences out of 15000+600000 + 39052 words of font info for 103 fonts, out of 8000000 for 9000 + 1141 hyphenation exceptions out of 8191 + 36i,9n,77p,460b,465s stack positions out of 5000i,500n,10000p,200000b,80000s +{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-ts1.enc}{/usr/share/texli +ve/texmf-dist/fonts/enc/dvips/base/8r.enc}{/usr/share/texmf/fonts/enc/dvips/cm- +super/cm-super-t1.enc} +Output written on lecture_11.pdf (8 pages, 154124 bytes). +PDF statistics: + 117 PDF objects out of 1000 (max. 8388607) + 92 compressed objects within 1 object stream + 14 named destinations out of 1000 (max. 500000) + 43 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/lecture_11/lecture_11.out b/lecture_11/lecture_11.out new file mode 100644 index 0000000..41c2cd3 --- /dev/null +++ b/lecture_11/lecture_11.out @@ -0,0 +1,4 @@ +\BOOKMARK [1][-]{section.1}{LU Decomposition}{}% 1 +\BOOKMARK [2][-]{subsubsection.1.0.1}{efficient storage of matrices for solutions}{section.1}% 2 +\BOOKMARK [2][-]{subsection.1.1}{Pivoting for LU factorization}{section.1}% 3 +\BOOKMARK [2][-]{subsection.1.2}{Cholesky Factorization}{section.1}% 4 diff --git a/lecture_11/lecture_11.pdf b/lecture_11/lecture_11.pdf new file mode 100644 index 0000000000000000000000000000000000000000..3e2c8282f6df7163590d78759aa2ad6caa034544 GIT binary patch literal 154124 zcmcG#V{~T0x-}ZxcG7V=)*IWlZ9C~W9ox2T+qT)UZTt4#-#+7>argelIe%{bsI^vU zq1IEgYR;#~E7a&50OU830883^4Sf z7S_%tjzsjL)&|Zd!X`#`#wIYlyf9AAjwS{+Fm8V~)ivz)0Z2YGHM3H{9Z~9ABN#s7 zG4PsT-jpa0KXB3hh|9vQs_IX0e0hfuyT}*gdv1!%5%X6Xv5&BA!-e#Z3Hc{XFn>&6 z$E=ub|4!um0i!_d=Ex&c8fZ0yN(FAHPP*dm$d!)yykyEs?xFl4GWv4$#?}%^L;}_{ zp%|2CDDjhBalTcBFk+^nj=-jVX`Q_YB!-gb88el#0vykek2F5%aYX0K0h-q#9VrqH zP^c=~C+n_A{Tqa2 zh=2I?acZHnGSkX}lU6Naa=R*rP*5oZ{JII$USAgvvxDR3)4}qqhO#^36yVO$ zJ61_%w60O#s(c_*-dx0^$3m+vk10Vf=Jx^by#qHowUm^rQ<}{(!LT8()?~5v>7sxK&+qD$ZPspC3NF^Yp{7Z zq*OP#{>N*Y=xFA?7@@&JrSfSGW~n(8Z1#}%>@Bg6maQPzCha{fg}w>dZ9%N_5~gNO zSP4$V(i!zj1&%08U(b^CL-vuWf*`BTaV>ByF~kb%=4Xxx;vrK8V)^iMoTk14f6HwY zbodI>($fPkn6E?Tlk({&9GUnp;;Pr?9GM9Y-{q$^h?(-O%m}wf$5;(CWKQD^J5ib;Rg{6DwX3TP#&IVlyd5< z#Xt$T&5)=t1`f&s7i<-4q+^~NqbomvNwh0{a0P$iy1;aYVN@T*xoN1}=A_U_X{f6y zm)HV8{D9e(#n_ZVbv6}$r^9l}nZvJ2#(4ZbNg2**blxxY~$h(aMrGbQmk<0!h z;M9&9y^b;67XTk3?>X7PtVGLGWDLS-2tj|*EjJUkX-Pp!R^1@GfwN+ry5dwe6&4UE7)618KVdXui&_ zHznO0@?J#j&jeleVC7m~s93yUTbDi;ggm)=qe?dyCgB@2ylgvEKy#v>PIdHK@NoA5 z>Yt%OE0GNtw(ql=us+n1Km_O3w6EDEga$2mX;fd zShru_M$i&rAttlCwqIN{eH3fOTE18Q2WMDK+Xz|h7RriCGIXzDgIr0R0-4=dTjV9+ z>5z!coJGmC9Q}FXl;(qH;T>TqGo0pdppsxLCzyP0pp0I!cjq zf@bW^>y_&>SI!KifLv&92Xfu{ln0B3GEa8$5ibRrry)gS#osSoTF#%O|WzA85-e}aoL z8Ubpb?%ihZm40rQO_YKexkU0)iWnA=mPfA<`1bc-3F~MwhMN#CC@~zS0jsLkreIJS z)`H361Sx2Q?_mN_S4 zk>}TP%-u5m(CO}KamgS#w>-!#>VV+!*vq2%O)1gg%36^S!zsr#Z_K#=Np5TMZBZ(Z z_pX~83juulX0TXc1Z>9;pa5t5hrcjO5hQs;b2y3G<`TgLM{poRCytCLO^fv>wiZ=# z3{zD;aZaEHGJd}^2xjO2k|~@~aRn#yuuI=-@j!cRWy%vs3MP^DuPJd$m~z$a#!yqv zCW&u_Pl^bg>vijHRI6}|eb0uqN3ocu;3`wE7b4M)>RxMv)=5)5FaV=Q9=S zACZVxOB|85VAjBE`5+Zj}qnv~r- zJ5u+t8dg`O=4xbVNmm32Gg|DR~U|;WEFaAmSnS z887BLvuEbtPwPQ3=j)e4hvYD(ixkwqMa?6o z^AjWTgExz7m^D})XKFt&ll2U!Jk@(%>g1plV7KKK!qjAzp5j4+HufjpXKIhQm9{ggXZLnX*ZSJYhkc32zF^iq4Z8ak zojqi@T_n4@X$)2#Jv=GWbun14cg|#4&|&oSYHGgxUCHGOy7xKc8#I;ni|xmxx~fg` z_vsL+QRiZ32mz2B!SWGx@LC|7%dMg})$~O&WUUt>@G#{{XubLtZKa7JxBJz|=))l< z8YFl5-D1aVAw=wGcAEI0s+b;$OHaNf(AGj5N;tNLK_xe)#hT9Dl z(Y6~$C#IOPk9@?9;!8;gSze&8Rv(cO5B=Culakn+5d>hIdwsAYH3Nak43K(RkTNwGJE;`pW30Gn3kH7{JgT$8D)$0Z78z91 z%S-yRG-J!}okI>B?oT7T<^;a=ML0V;7~Bq>e@giaN!dF~)>awhXFs_2T}t`GQ&8L} zkU%sTi{uCX0cjS4wo=jG6j#F1dlyW#WM*|4L3Zy(;4hRP(m42z+=;ELXOSj=Z4>(y zGdiQ3vH=^dNyVVVZz+G?UE@Zpz@d7KDlD(rs0ka`Y}^ZbW?>j&)VtbN!I1AZ`w>#1 zRMZjx8+?YAvMXs^eE`q*i!&i!t*X(x+FmYT6D$_?H82M))bW-E#I?1TT(=InN2-Nh^gpP@Y$ zZf)7f{c9tM33@rSe$t=mPjkN~Paz!n=Iv<73|uNtioJwj;+7dH-of%BpfZCk#3$U+ zC(i&ZTreQ(=xi-a{4_prVkc8Nkgj1fqfhw^#mf>l>KRIw%&ZMP@_@ailwy)Hd`yki z-^dD1S*l1(=oiJB&R9tu^_P-7qp#@Yg|HQ~(2+Z1);qaE)4Bfpdx`7s8H%`}S8vzU z+L1-`h!D{;W5?+cnDZx@vOT+LTdL^0GI49evkl%C;JYt}mkkpO+d;1H?EDI;=8%q# zNzG(A57svG^<>g5L$UefwHJaK9B!-;m8*M5Lkg6U)CGJejK4mR(;=9d{i{|ilo(U0 zhy->YbfvIJ_@XCc8-a7QOfx@rM7DzXar5tDk9Vc!!s7h(w-FioeQ0nP@8Z*%@7q^n z+Y!rr7f2~=l5IpRt8=>7VM;Iw(k{~fTHSM{C^I>K@!a&Z2?$2D3Tr|zq23g zVWQA&7kpR+5w^!+4&Ken2lksJOW}FxkJ9PxK1b^xmLCckQsPr~l4Kju(rQ;zT zBBnxL0h<&FLTUP&4u!v?AKzwvtdjDxr~Y~1b9yzXy0w2IUw3qwUE)#Qu^gA77M6=trO@}#{+BUda zLa8a!I;iSwt_gRodPqGb(xsC2l$Ei670sf{dZKa7K<^i(osL)F9oF~=@8{LD$Uz=^ zXmFvRRhyqTXK{U|k$&*Y3u2c{9KO1UPThlC_2oY#V3ojptp+m1zcM z+b|s@3>S^+Ts%2?U-5LTXD{^J>#QN~@e8H9%5Y+Q`h4HkBk1>RmH5FIZ^!c~htT3V zNFxxkb9MRP3DjOXsS2(+ZN6rU+U6HYJAXl_T5N67HfN@d$o^Gl9rFO@FvhUuzEiVQ zQ1Bs)GhT@9| zX1|_GJhfgx@#@TO{)-TKTkY!-=GsfX9H+J6f%);*o$5Bt&FWa#dQIba!o7P*2luJZ)+_2d8Iw8J@I+f)aGR z0iu7bl2~DYffRxN<&pVUlYYY86RqLqHtp6G!aQ{%J#x8=L|eoN=C*ukVYZ$uX%+eQ zBK%?CINR4=R4%F1-ZC=-c7#+?YtZ@c@xrBoXxeD{>?Z-&5RjNU*BOCzJP$`=*_(4Q zpTO4p7o)UnFNeXL-v*wJy_?6an+vU#UP_;Ov=_AA?Q;tn*QzMv)IlHf!91&JHsEiM z&ewdt2vz3)KFG8F2O^M-h53KItlL!6vRhz4^SQ3MF(MB=H{yzpV)-$QwMSeSMofT( zsFBe;mu}4BcYE*Pm^tys*vMR{HicmQ)r)TXRW^gEo;b2IyA~PtDFK;?Jh$JTIIU3H zib;-Qn|x7x*d6|a_Od{SVq239fx$Zggkzeb#B+85sI$jBaUY8(r>2dcHAX0V&W3moStuckcvRKf^y8hZP3i(Te7#4 zl={|>%k{}SekjiA+pr;gre#iPLxROZ8O>oge~~~N;huY9&mEf{=i5ztaD8yEXL<{T zP+2Dq(H~-7U&KW}BE>v>!X~~7W<#6o5J&AA!Eg6$fTaks8|cVeSBxy%#eG#qYZu#y zI|9(!HW^VUP2<@*mBOV@bMBsGwqB>!&}^a&dPIb;qzYC^PA40IG>baq@Yn@1oL^r41x<296L5S|9;gab0 zTz0aT%fZ3f{Y%NsfkiK-qU`Ry(u13)4*hvGAhuqfXjLJWc)A`>5tS*Equebh9|s9c zXqvR@ZPri~0Tl)4XCk~2?L0xghjO3 zUSb=W@wmY(+|8IGb4rPjx`6@F_~aYU-CtCls_BI=(lJ6>_;4jf8ZrKJg{{8Pl6t`b zWh!dMZdSHGRO)lq4bIC66O=MvahOt*5jTFxUrRoauTg=nc(N3BU_5+7&5+U9DidsE zJUp4>E$Y(m@r2t2PDAP^e3JpLc}ICyOpUEC90x$BR#@R!XW);nI}vHiAT(THyakF|F-&5cDFYnqF0wQ zv@|hthM`w-F?9ZCim08V&0k{VZ~V^^j4<@_$|CA?f4OxNSpyprB1$@X>%TQz98L5X z8TCy6COiH21b`j`oxQOs)xWCA80rRD#tB?((oJ7EhWXCl^rOw|-&=miDs z+=#UPu`*?0VJBi{2I#=hi#gi4*b}ib|DO_yCQf!Pjz%UKVWK|h_Hk)bRE}b)GFMEk??*)RBOgOEsb~AO@v~p*jW{r#>!~SbW-@a> zgB}6l?fG&4_QQsq_v_N~?ne~K(1}!E4(t2Yf&;$TUDd<>`Q>e2P{7yc(*m*=Z};v# z?8o<5mq&n~eW&Z|%i)Xv#C)aITbv@#*5=fZ&^^PjgKOhL?=i_pH@w-&`s($F)F$@s zm;FA`+jPu_)D>?s$i($yi*_`|XX$faSNqSFl{{`wr~5s_P=l9MgMd=tAodXKJ-m0q&>bo27p@oN9>_2a zc;IY*6iarpc@Td`c+_#$C-(6J=3*>O_K8COPFXd%J=B{E3NKCmxM>4X&JnsjX2UbW z17==ulPKPyAO!;OJa}Z@2)%xzN_?$%0eiV4##iO$>}4~PIfyi2+_umGu&L+kc1?rg z5+dz(!zvbO&8wU~a_wL=7yU&?xNjX5U20l+(| z+Z$_+<^wI^X$W5Kevv3lZ*#E~K=+Sg;v#LbrIDasyd)fad=vX;G5epF9emecf07_i z*yFARk1HDAA>8l;LdIl!dn|w+OYQ$S zWP5>bL_;6_gL3b{*FeKD$kFIA@yyfn^H@bvqB9Ld@Pc9FV%RmF!v%j-Ni#@bxvM>? zLrm^LW&Pe)64l4RQcL#F?*Q%3<3|q`WW*wSDQ7^l97_zuYVX|7W!b{>SZL%29|Kd? zX&E15gBUf9Ge8n#oPDvpOl5N~yIp4#BaX>_6;CCS#ewiZ39r}xm_$nb!TXcYLHw?a zGB74Ch$u7uuxQTP+*^wsf+{u@=G!@kf`k#EVP@&Uat6(=loWv%7A+@Dwof*^v+Q14 zoLa;|xRUJ8YOdU#8KV)yXhO9nOwSQL>djSLP9tn>Pc9i#i96XHx;m@a;IxDiMmCa_ zTSAp&1^6ZE3)~saB%}ZQ9$HVzVnR|45WQN~g;(y4c+$4ku>94v)LuNOORP1nE#%ct zx8ee?U@UxTY_q|BaAP%xcJPGv$^yNPHggETBfY0^jJvTMYLs>tU;QaOOK>_FE)L^Y zASYNpKc>|0um2?DqL}Dh{Ut8(#%uX*XjecknKkVwslGG_6Ir+v>v#lr5jRY0bCw7r zpVTg+Q5+!Zo<^*r)qYyVGX|daCXrfN?BNXHHNh8Lrb!EY29_O1>s~aD+?wa$Deb=V z^8mOciCq;^DMMcdl`sC`gIDUX^sDY4-DyQXpi=al&Zu(RT=x4DQotq+i z6ssGDnUV}(e=(eSUwcz#IIP_F#dUwOe8@CY-7cTfG_zRwC_|&snOPQHnat0wC`9rIKrAL*!-|*uuK!~i=Qq-_iy?a9H*hRU@d8tveY@c;W zXGtm#;KbdeC^2(YXo8c?Sr$-fk}C^CR-Rv$WLS9i^T~!&Ybg?KS!E~_ZHQk(i8`pP z$h3$QF%!{AQJg4gcT&P^FcPhveSu{m0SXhN5*7is+{j^p%Cd~qcRbs}65hkQP9-z% zFTWNvE3%tXQO#jl&j0zd;sg_he}y}v#J{~*s~CrWB9^aq;A>?+<%&-WzUI%r&lOnN z|KjEUM{5WC1Ec=}_Wz)>XX?bu*ak2l1wHc)(JY97vFq3Ki>tI7%n>F%0SyvRh!3d; z)3kc?WK$-!`@TjV^YFQk%5F*>52M$|Fq{*p)fO-Vr@UgY^kdT(pay|4pFMU<+VQ~a z8Y^trO@u2QU(lpO)X%iGRT>0rHl)qGkOC2TB0>zD(AB>4K7N$-xPJ$rwxc`FHS5oc zcC7UEz@rK#557+iemZPEDLk#*Ho1ePErW~AH}nl5;tcH2QKoa-<<&K#pG@}fXw)BA zKe|BWbI4m|kD#;}Rufa3iqOdHsS}ehEB@~L1g|qr9)vssbr{n|`J3Zq%qvRgvZpSr zblaxFnbIIJUc4$67i0KaYS6V^}Yn^EzP+uTQ5U>^I2B$l^p7u)&{#gkii!)~WDW|^sxBy@p z1R!$9`|J#!mT##BpvuMI&zVn0g{wCS8PAhXpsKoQFThBJr@<#a4xf}asHtLzLr61L zuc%CD28ZWX|LX|6`(kuK^K*(*_84$!o8V>AVm1etnL)O8Wt!9_hGoZ{t{1>A^vTKt zUIFMuI+jQ+aiXo$zjR43aD-?Zbc&~VKPVo~`<#yT8T3%`zUZh>->Gp8-zIuGDUXNn z@{&!sZTaD^lY*tkECE^8%Aw*Gh#wM6UABJI3<$4Knu$&77V?2`$P__wBU?+kCuv99h$;4h4I6LDPHuXTd>0(Qwlr7_-s< z@LW(3v?wJDv;7J|reQS==3<#L@S^*J+{s%N0qip_HwY7yYspQUB;%x`89VBH**2SI zI9ZtJW|54LxU+Q4y<@eUIQ>F=)$-b` z9_H+F+?WH{RKp(y1oocvdN8)zwI4s@5$rZS*y*wtfAneR_sG)$QLp}(L4^bq(=S&Y zG`C>Yu+|zGG$rElV`A2^ve0 z5+V$&*;};Qv}QdoKP^2jJtL%oI<4YaMB7B`mkU0bi>u;()of^6#TU!*I28Z>4&d=@5TNk|Zx95ztoT!!zns@9^er2#uGKQ#kJnSS?^kMWM^BjS-(J4AsEVMxQe zfb`BtfGA!yq}S`D1e@xBAd(~Ff%F|Q!u8|TxVtUVyg7AIz=0G*gH@*6Tp>||%&z03~0f#M40nAC<~KE8uGl)1MO&1sT`$N`h|9R$J4gRvw|db(9bi7o)nXXYs05Ii8m)1c~aBeNb{R=2iczt~0gAm>zm%oG4@hxju{Q zs81^W75VkaJ=#Pbubaj&%{$GA@Zv9-Ni-p2U5Mc8H?ZnWSzJz(WTP6T3TmD7;PVc~ zl$w}1@{IAlx7R7zri)Z-))5JHqJAT^PC zzXBwTu^@*rV0^VG&t+=NRHZ>CB^W?~O7F8Yek|T~tX%X27nsce!L;kH4pbq4+wUR3 zeI5k5D*VJeFcX=eL6jzE_iE+ywb7eS{Q>6>8;X|~&SuJQm!G$do zt)g(kwi8Pe+h-|AOcTMGM!=#kydzJ|O6*GIFG-C95Dx9 zXqry&fCExN3F=ClOG;&tl$`-B?*a6$c=4e>g9jA)iu$UwHVkB3RzQ~YRC06`CDyc~-rkbE1A|yY_l)z-+B7@1 zlz)KirR#hlF`D#F+@A_tpWo*2e#?5WK_%SIS`tu{FitP|HC_hk@z}mKYu}|-Gv3M$ zh)hcjDjNDi+CE0rv5aPkb}ZC{UBt0m#2Z6-0MoQC_@WZK8$>{)_XUy3YnE3lrH7-0 zqhUb9ft3jo2$IZe>)nI3gJ%0){P{ax^04QZ{`W9EB!acM0fs}zp_M~O+U?nt)3NOq zr{_^b)n27JhMocgp)}+AIK*q6I~qT(1j}%*vRvnIJ|ZlLOyROAWtg);)Tdi(KDbk? zY>5Qhx&J)AL3`+2ov^c`r>CcrnldhDW7*O*6m8ytgnz=`{QlkE^3ZE(C#EZFHM6W7 zT7@jhplI||&0$Vw;p#_#V~het%IB5vWyHPI^I~`FP7+U3(?A6V?N&^MuFvWE3}<$7 zb5Gl&u!vY#qxW(0^Dmdg(KX1Nj9aFcLoa3NWa>~z^ppYaCtL01)a82DTQ^dJJ4QZE zv5HY?*{gUrB{mkGH#+ODA&KJSFF)e=QZ!uDnRckhiHyUQ<>D?Kdjd|b8O%;vcw*-( zmGkcCfOKC;yJ&X0?h;4t5brg3Sw8Pq{%I|1sHDSmBYBem>EH!l;ElSn!g*_pKevDh_{9x;6CxwCGS}0R9qo0E;bvhSF z3+mvnYIn6h-iW0B-Mi~Q)SL8CSHO3*^i4-x$bkJgdAxy6&>}1vRV)ZK#d;38+27jimvS>T7w1eGX43I^ z1f3&>2zpz1{s2K_1Y(2VbCw3TNL=CxWJ4m->EIHm)N!YRmJ;*F%Q)yG{&Q-htJ2eM zq?w%br&dH_ycPq=cY+WPxid}GbiAgi~BGHG#hwZ{jBp-4dvTo(J81Ygs% ziTE@LZSUMdV0dOwb5U`qYX^9-Fa@7-m4+Rl-$3#W`mE4OPV*L<$a!>))Ufy;LNMhg zS888L={234qUmJl@^88{=n^K1L4`_)^98!ib1f2JqNBHoJrBJE^-?J?Wi;>$2c(h3Ir1-B>U1IEc=X^!o5n2u}rFP$HFIb~zZQz7n^K(Gg|UUjD6mHHL-NuA-C zR^xe@Ht~S{^Sg7e1XIH8in95vMV%#=vtR{Tw9NdH>z>sRxw=#9H>z9bjLgk!Kgg@s z5B1<_WJT5?;XvUSm2mwEqSGfQoJm8CqQZ)cmu$8#?`Bib z7gr${F$P~6nZlBUPH2BJr;63H_A zQdcpM3oko_!{3iXCy~_F%?3FQXhlO@?omD#*2C}nntjlCl28X%AARG_$!REw}T&?&h|CcQuY7%_-k z_i4g=lgK6_j>(O)-pRB9LyW&V24vD6H=u2dQQY$=L+*#f2i?t3mKv!2AdKF_O!Xf* zjH`#PHUw4ehvyV2{yfh^`9$Rgr3&e z1UwcPJsl@X1y`!16lHxtw$7AEmQZ`J#DPxNl=?v3J%<}YvV+ujOq=el@Op<=lp8IMzIQ~A6G(U`6wg-t$+tZtWS!?LCeR$(e8A1nIrK0s zwrZ;91lTm)S!?ERm-r{X4i|`h$$v%U=4}fmPRH!>eI41VKi^-CT%t;+y-_bJLuz1- zO6WF-kaEyEJnuJCNT)r&|L*LE&THdFlPtAO$uOvP#_ycRX_daTQl2QYEjlaGlyr&W zCY-*Vke6}t)iS8glzN1iTv{Gbuq0fP_VtP+Tigx=d1dF8ZeH|`DwHHhtRgkdE-vS- zfXbkA%u?owfTD%YGY@Ca4McJ9#ynwkXjomN?zjampj9H%1 zVK?QcPnGymCZ>N4{t3TE9yF^|9T(1>^$gamaeHn1!Ha#Jyzff>p{ife+tYT7i|V5j zO>5iP@P_OowsYzDQI40felr31sOY7izgdRrq`J8`?wn%@+ol{LPhVw$uKB&3qGvZS z^R~z8_Z!)b75m$INN(abymtcQ+7%EhTm_b7eWx+@msI1gd9xu>%o}#+sxht>dB8rP(HXmPQMZ`AEFy?KML?}ikrY* zS8xJMH|ZS(=4Ffy_p07>k`cG4UXqZ8mpCK0LUG;?Pd2{H!_&b5g4btTZql19$4ZQs z=H8!vJ*aN85k0KCexJ5Jy%F!!v|c^9)U+=c$e*gXSE#LOI|P0mwCX?XS7cGQlOnlf zUWzfjS%%c2xxj3=2bTd?iVlkK~gBD4V1UQ+C~sy9(UUOGF)jwIWpwHu+h7IVXn zUN!+?Jx@rs47+at8ZFnz6liU=^r02}0T&U+(+XSN^q?YwR~5EyV*ATUEWR%2F7;T0eQ;ZC8vD53AaZT}-V_k~?p}AB)a_vU=G_gzBr3buP7T->6OJAd`vkZD zOnTr9Y-Sr+PJw83uNk-pI4_BPaBn8dr0u{d#3Ty4%#N~Oni7bcDXuJZZ%#KgVvmYv<+KaGX3^lvJjvEd(z5RxIPz>yF zU7RSdY9FJhm-NnwBc4h$2{`XhvOBSL`$0x8V{Q*H1Wfh|16V@Sp^y-W+YnlI=g>IB zM`ws#B$8riJR191erm$SU{FX(uUvGEau}=hNC|Hcccdgw z@PoWz9$R94!aPs1!@4}1ohg`}PqjDMwigC{At)Okd14HGQMXt81cZTC{E?_w)C}ZM z1z|JhuB%I>@2!2n1NG!kIMJP3MTSD&N+b%?1Sb(17*ME-cJPT# zM@FoK1Xho8q;m^%{`h;>|Jw%S>k|DHu{gwA=HGcf7PkM!^Znn%S_zxK`YH^)nuYN{ zwn8y7!O)AFSeThR6ESiy{1sL$oSo!N9EI#`?Coq#{>q{3F!Vxp)^?6c_6A0O#b05Q zUlv9tVvYvxfAwD(11BpYz&{k?zeM7{HdnE7{A+L3|H4)NGIKXRfB`D-`BRUR&1u1+ zz(2`UKxi~a*P|+j+^;v>rpn5EJ$L|j`Rf$2_WSvnSNii3c*pZ)08$i@Fp`;o2#<~1 z&3>@yf}MRY^AaziElJFsG0?Ma6l3PS?(=JEPl6q6KNd4&vDIF80A#Q}w7u1=IuRGH zy9$Vg02M;UJTGUI(d~2Oxvv57(%aY&&Aa)w>-($I*M{0qb3=#19p+Hkx<}dcNP>ds z9%=y!6miTw(qeL2X}M$@<4(mRE%RAK6%BwA^Vt`-(h1<4_{wJ7q~WQke?B(7E;3Vr z(Zi@49@;eeT^5!1P?_dlw`*qa_IWf2#0Gb9wSRAhF{1TM9~i@5dXQlYl9yla0Ua35 zyGxFA#+^fEw99xjH!VbD=cPY&&&Hb@&NIsW2G*Zb^1>V@7VlX-Y(WHVj`>Uyuhwyv z?4JGphrAa7SaK$vV{1xhUjCJZuUOAFH6=xJS0|6Rq6iQ?-$4E=r)9G%YCZ*tz5LJT zm)h`jGkR0@Zh?8+BU#chQ=KIb41iUbhCtR$k4@ww#)E2K6Ok+n(;Yuj4m%vJezL{;-A0ge~A+R|J%fWZ82m9u>Eh{M=!M*qYo(29?@Gt)OKL-^ik@=Xs3Wh z#c^$g8}X|{$*sfOnBt+?`2VZvY`?e1HHizV-zqCKsxgTj5cFVz?4Ek!} z+K-j|89I7L$}r38*_kr-&9t2~=e;HOJGVCE$8T2aC>Xxz)j98Md|nt1?Z|R%dA2b0 z&9R+~W;>ESzAfxxvAlLLnugnyy5zB)ESr|{)Wd6RVThK6+br!0a&UGz!5E$^%hRHd zh5-Eudz!zUJDa|FfEF=&#QxTeQ>2lWDNX+mMn1ksV1X>^#`GeZODz&Q%Yev5 z*I_GgDgQ37ur#|R{t;**!3swN4q^rvm;o=zXy1+eh3j)Fm%B*>hm% zxupmeqS38s9o%f%?X-Q@;-fY$4Fs3*H~NGxmVhk>XBcH;;~ggK--G zD<*bJ+1_!2N9|EcKCfPewA>}Ks$U@1=nTVI;j{DDS~pk{8EY77o$qfw%U3{4bo#=y z^?8~$Tf%2SoHjGK`t||loxnBzb(%F(F7vu`r-9;fCVbpre_F)0)9}HSqte37kTX=Y zeD-P=#%#b0DRm1K3e!94U|p{(^iGx^l7tZO&Z-aV9~(@0CEj|=Hw7gK%Jc)t6r>7S z0PDjvzAyD+l!O%ixb3}G-4tSI``NPaGJk3en-_TuseByXcwukuKb5q2 zb5Bbl&MS7Eg7m~d(#NlVci~;0TEvJtQ*IphoCJv_-GvRSA<<5IoH(6({utomlISRj zdDcPAR8#s<`aYOS@Yc69?ts>;4f^*xD03UTCwmyXV>pa1Qgr{a;74l>?SCU+1L8Tu z(9Nqio6P%}YCqO6{i7mcgaMK|I&Q=17*rZ`q`?UkS8F1N{g%qYpL6$9AjRh?%E8MyxZq{dRW7qu86f z2xbi$;`Vw4egSuCzfS&R++6TEEpR&AY8|tIez0nqy;SD3vNX9GWSu$NL7JNOT!o!i z4>~-i1}~X>kBP>yj7ux@RqN0TF=d}#DJx#D!qUz*2VZY9Bjp>YgnW1JKLEjh^73c< z>n`@s@INZle>OF=oN3-}< z_;MYeI5Ti@bGd(?RWXShRY=4RggY$CTj$3@3389BWSmp4Mk5cX$^E~?#~d%%z<#hw(M=r~=uc^>+( zed5f;iO)xoZWDzcm=C?-ydMQ)pf%l1wzQ*~C04uA$Qo&?)zTM5M$Hu<#~E)8E=4yU zMG+QA$e)QDH_kpg7CGoi93?DC*rT+bK;o?QWY2ihi<&4hP*?^h7aRaLs$a@g$LG5=#NgS)2GtUN<%`8wp2L)BD_cLX!rhCdJ^E(eh}*8onEl<;iH6o)DZb=tJ-fVlu9b^OeqDXH!y!^TT;fvnecbk{ z*RyYw=gWZ>p`%}HUme0aDsaE=vrf9T8V8mgRjG4g1{Sb4i*G80AMd6jFF}ARkceKY z0il~fg7!G{fNVDC6A;T;9cF>rhFW##R`Pxr^tbB*U zF(0=k6saUWU1}l>ix1Bv+7o2-j$_@ROit>c60XKYzXNH%o?D% z3HN<7>_&pXM{Kz{dEPFHLkIG{XTYEC=N4zst%47M2#*j2E(b`pM+(@*JN2Za_vZXt zFEpvr?4a-}TK%68IN|Xj;bOf~=ma77^rq~{BhE*F?tZcS?YQFa=;VdhOVlFRH{kC;2rb)v)9vl8JjzbC29^%4VsS!cY()Fu9)3%j zB=Y(ga^{+_dExRho;6E$_Qp8|mte`@mjyTP;!q1X$;yiESL{4~3-tera(_QHd4{$p3NB(TD5f&HF zv2Q{ex1-@x3PI?h=3rD84@X&}fCS)0Kj0-ib$$%l!S!U~d2!@^!TnWWFepevEThvz z_SgDOu?3EAF1pqgcOq|g$jrnU8GQS4*iK>swk@|~C==z5Y7?nV<5UX5TbLHxDY|I8 zk^djY&M8V17|OC`+qP}nwr$(?E8Dhh+pbr(ZCmqZ_4KTn)&0?b$$yfYn{)PwWP)eb zw8HX*dtvC_3-Sm#or!1{pa3vixSDI#l7SpfiGi(Afx39>x`yaL=XvO6b73i?-x47D zsOS5ArTR$2jr53vvuMO2)C)GOKxNMKwz?sPA%V%HqZ&Psjwo!%=A<3mj0bvNcYuZh zc?Nl_4RRA>gJIK;4mq2Sx@QhxX9GHqx&o*g2ASYwO(Qfu48KlF^72yYgd4EyYe^&W z3`A;YVZI7bA4&~kwfc>Z8r{-0MpGFEkI^V}$2mitQ#CjeLZsA%cc7TzOmx@Zmtfnu z20iql&?wbd-m3D~ZAgi*qA8U!f=CMfnPS(UV$cAp7_SN0{bU$S8Y_(WzoIxs0Mv#p z;exmGXpHA=U5%k7S3%p`f{u6X+je2m|yO70;4~`c*t0)|Fuy5Lwo;=jfx0rAmkJ&qkWx(%1X$u(g`zw>PP@hC0eC`RTZ3=vNBfD+TL71s)n>8 zvk)z`wVih2Gv~6XTvMB>igk-WwYZbVx<3m-qU+n9^+?_mbOLTv!07Mg3GuLrvvg93 zJiNW-U%C~>8(s;%Y1RupRr0iS-=i+W_s9Qrb!fbuEa!GF4;;5-0f$H7g%tQ# zdYGlMW~|fT{oODbrLHjjJn^K?_O6z#+u8!URfr+Ox$t0S5A}f-i zM>8F+D22{$##YiCL|hzMRs+m)PvkOrnfw`GU*qR!^&eFQi*AOW``Z^jL4z#2+{a>> zQ(PHBcD^fFO%#*Ky3v*A;n<{U=V|IWlvj=2CUd-UX#L?4!MIEf^YeDcPdp$hVWS^I z)fhrPuD7>#FH#vWD{@jWR!_LXNiL=c>6zEBCz94}H<|bN??p}sNV!+s}7%ie| zWjc*~oiAe@hSU|lGqP|Hz~QFLLJAX}YmCQe+RLy3<0IB}LYpdTbtl4D|I%M7W52{! zmQI~WXT9`Sh>v-4WeY+698TwccR!*}T2bbintc3{PE)IVGBo4B;p6VI5=)GUGXEvV zNCS>A1>9XX{mIhZDETcXmCnm08O&P99TwKCu3&)8{PosIHIvQL5-I`>V~YFz=73%> z4F-1F6n0hH)n<@JF+hbYm&A{cC#O{QHKP2V4S+8`rO_{AME)bWa-F$S(QIz;mbvB| z>B0hhW0`veNsxYlW%?eEa}EB1HlUnEo9?ElR|D0QTQFbBGEgM;PjMxk9Cn3|-rNsx zr(0{^f3vmzn>#2Q@2UD5DD2AU+C6KH$9l8c<__7*lBzO6X^fO) ziizraT^%kr?ma~$sP9@xJ+8jo?7cf5H^deI2p#xY$qN6tfF+*oD+m!-HaSBA(lnC;>qj@9I84<1@|)MoF)9XcO!)WVs=3|Pd>|up(Kwo!SDSd< z!t^*Bb7($+SL`usbMwWQ-nyD7{39dzG4{>!#uH zEhrEoSv=$C=*Ov$vFtTexWW_~=T8n^)khmulw*jv>M5(&9=Opspkh-YEmpo<9Oxhf zA^sr?gaJ6Pj~$nG3X7%bY?VPm7}S#YQz+6W<^9V5M>+Hw2YDXe@cC7K`RfAWSWLK` z!sDO0qb)Nbw(p&+g(IQH>#uy6LXlR?_t~Ni@VYE}7$+jF_E*0B7~?OL{zXB$Ln1yEc_9j()oY?m4f~bIXrsh2<>t<;M$+%wQCI?nT^6tDHaFTXRcc zO!})+yyEc$UW{&{!RzOct#0_;yeo3}su?@weRlQWEw!(D`cp27=p~bG+aAi=u*(x9 zSX9Dmt0Lh$zam#?Eopa_;gUD1oja&eWb4zm7D#a5f@-cWR7SyOKY(H+N`oQRw1#R^kk>13P^3j7N+E(UlO4#M1V> zq3ORswJ(4lt(XGiB?0 zm}VQ}*Z+0Za{kwXz(~Nz#`+JQ`H$x=CIU7N7Uut){R43Rb4b9>!Tvvv+KO=jRYAVN zrX!Fb#+8DJpPi3!aZh6~=nsb-9hWR?mY~#KASK-6+? zZuPx=?0)v0`(&E8zI2>e8>}9PWS|Iw9-pBGi(gb=0DA!P@O2UIwyc|MsFS;13Nu}3i2E%a1H2&V9p>Qt(b$oAF~G% zkl)H5L16B_R>MDz4B`l;xr^kN0tZAfc?KZRhWm3fw+#m8DBAAaC7kX5GXBUsea%WO zV0&ypM`u7Wh*2>=i;QvtD*EHu7%X6W?bm8}xj$(P@Tc7~K=sJq z*-nv z6CbCTdmI@?pr5zjZ`>c~mv0{+5I{Q|7RUg$HB7+qC)UpzZ1dZ(*Vmt87~5dfo0^{> z;Pv#h&L6D}s_Bnlj_*(Dua^;?t}CY~DsJp9?Jwx$&r{T8+y9z)D|=-7NLE zweu(F*YCf$N;#PKod?qG4>CDp6g>|dq^li0SAt8@Y9zJd-)&$ zk~=pd+ku_F5SYFF&_RSYx`54>F90_Nj@dc(<3rFpjUhocxxGzVi?I68was6WuR)Oa zpBTa)F_51>TcvN%@9sPym--O+cl1YTR6jY9zx;drPLMy?ALfm}Az$Kb`49nP&u)E! zzh%_}hkNr{BzA6vEi=B#C*yv7hJ135E0U6V3DTrT?end$;YqIV2mHl2{XT;m6 zPGuEv%!ThAa#JHo(o^Q0hnKV*O~yyxx6p1TR-YF26&+9bwmcn9-bNTlE@hA{!YPzv zGr}PP+;K-?>UD|kw)*E^UH>e$IWbg(tXoqHkhL1Y7?1gdlBGJA)09%7T@Z9wG;RmN zx86x({?6NT_yD|!; z7=vl(bSCqPg%6cgFF=i!AoJWc8$60P?wfdll#r`xGb!A+CgO%1yxiQjHv3^l@} z4g}xzdm7#GaMGqM*D4K_b|KB#*yqKWyiyOlV1Tr4sUV=(so(u4M-CxQ*e|JJyeV;p zcGD#3Mz0DotO>h9YoN#mX)$_Uy3fo=e{dqmsv`@9^2Qsg5(u~ZzM#bpT34m#9_E0P z5LZq5KXNX2a8XfEc+gdi%RblS&K!%CwS9vGnBJ?`#z`mrnhc54s~#_mS9*XQ8zJlV zP$7$`X%9h#u8f>k1(MPN{&qbc>2&}zQ^)1*Hb~MMDiUJvN^{*3%syJeRGu4aH$Es# zkS9vwjWvf|Ga2FuE3X`4X3$ZtFSS%ry^j;`YM^W0C}|Z7!E%z%$xD_CZ{W<3O(g5f zuV95*l5lB7p~PB%PJa-`%9^g~H~y@JRHJN|I<$Z-XIUCkqt?5E{=|#44ReO;zAWR~ z?;2nhIwvO(F{pQQfBR~TysB_k7jK*zTI~pPfaz@qbK2!%*^eP2{AV2ABzRFk+M;VTjw zFXHp;Lzq8iE!^P85*!=TRWy{yIyyIWd=0l(3hmu>8aA2h-h)&-4WL%2N696zhM`M= z>wZ4mKsNpjrCXRCV^#}jdnoiC8&swi`mkW!NPhcXB$O3P`IbUcah?aQ8;HtfxSr&$ zz2B{6%&ckMBtY#ttG4zT%EVA9?{)j*sb6Jeq7{~#A;}NTf!%p84f{q=%{jL+_J_la z+C!%_fAGVDP;uyLhrC~8GYi+Z%c$ukCl-9DH%fav8&rp*V2efHG;D%BYtG3R6d2== z?{PD#g}K|MI*NJj&|j!;UvFQ{&yF#-nF6h1P_g57!;tGQtEd-!D?+@mtfsjEC3v}6 zmaIV}vqXP{w7x=aS8A}?3rBeQQ^(=9hhASSf(9oolli+@<|?NR(8VX0J_d6H`ku%e zp~jieg&>crsBwSBFq}d_PAMxDh8NB?+qqCsMb{Eln)Z(M;xqEip z(&V2>N}OabfC#ET0WZ(XwK^Q8p}aO^e1KNoXhhTa3f?v^X11Z=m;*u9?XM`7CU71_D_FcS+^a@~ zrh9k2Nv^ZRWP>o9Lh0xY)2zy%LVIYk{5CD2@w_jX6N8sKN+Ei>dAZ=phHw$}Rp3J1 z2&5!&d^{F!;Xfe^{!$D3RzZt*$-rTYm>nW~s9~}YwHhF4qQ$uGbp#VX{%p9uh)jy8 ze<{1xHF85S9TmaSh3*3B7^of={R!{-*`3l&VR#&8_iFWHNDx-Y(d!*N^EE zK9rH5oIPsh+z6S&zp_7Sba$vb{xBabz0XVafcG?}p=3^ST{m?UKE(4NljYymepN^pxbwr1+t z`?XYiH81r6J-0r0thidLt{U5(*;q#_1SJXI;kzRc8}sH(R}Y$yz-W)plpi0?zn00^ z(M%E5G+7V^5Eq|TXDuUKRq&eYBTNa;x^(zdjihzJ|T`aBvu<6!EcHB1VBw ztRZ~qZZZu`Pd~LWcJbImswq(uht`Rdo^A<*h_QF^ihBG>0&OWe64u&6Ht2(#111K1 zMonMSnQoyy;AAbUkOEmeL_}G(sFF4mN=u7aI9Ek;9ij5JQn1CP?~#B(Ng@O|xL z%;GF}LGH2Iv1Vufp&GG!QGDrnoIIa|O9RDVewxEAn2Y)6&$&Yih4Qq3oW@+VJp=bc)%8k?|7E-I7m9&E0WF@ym@$ttOj0i{siR zs4l&*8ogc~tibQ{%1?znMWYd^V&dYp>hDRNR7-iUH-&tHSSf{6--LSRi-&9ORjiju2RSE^t6)~BKjEDd=}_|_ zln+?AJIfqeM*MQQJfX!{MSmF0FV(t(Y>c>dsS>6M5vhhSESY>^ogIOvYF(d~0(y0I z#G%)8(s^a|=)Z1$J|SO%$oaXna2xbD$oD}b%!N5Le6La^UvOoP74H<_Y=bkEGCkoj zU)Z$ncpjK-IrBQK{b^c_n|A$C5Ti?rOHRDAqmkQN=hs7O(q7*f&OL|{lH}Yc=?vTU zwF)+QdLGEogS2M$G>zi9Xy{t~3`(7gKMi$VQa2z+T6w>wtC&5<51@ymOfoN;7+4j$ zt}8?5*<=@AjK3YqTsj;a{93M(mZq+ggC_eMjdZDty7sFJQ;q ze%=qZ+`24QcuFI-@n;xctMy-)K#U)}Ot||4MEPa@arixPG!FIE^cRb*$jaDg6v0dy zPg1`BIHCYVZQbvkpr;sDfqhgv9QQf_=2YI2>t&7*!*kC}i@M3yu^b>U)f{!2EyxvV zX`2?s%86-P)|`y{H1}VV35%&g5ZoZBxn)zEjOH3QVCBj0PLQWBs-343W=MW&WifH4K z??Gb@wWcL-*+|u0{ufUW9_$U0eBi5kE&^D+-98-PzEUU3%|n%=23_f*h|FR`1+-rJ z?d$L~!!vZB#KEwp{pcdqQ=6Ge3nHdM5tp9|Gx_|?E_nQE@qj-M8-*H$C$2;l&%{Sv z13;KuDt0{*UxM5f7#gP$UVi?y3RH6kX|ct*d`Ps%QuWhPf*>FLuZm(qjAP%f*<6NO zgK`BQ-b-ZGImU6Wyq0^e+6x%2D4G1Fu;ePEr#^wtb=~;pR#P@Ha@#%+^t*2fC8?5O z`+*WmU7lv9SdG=i)}mE;HgkPdTcq`goI_0iybmL7RJssOlSdXb+J#!0L?li=jSD2* z0NQqnD@(nXVqYwQ63c#9wf!RfJ1b6n57C4t(3xZ_h$n>?17n&uHAVIq?!EMJ^OOVA zay}9~*13*VCKoMEBrxGfiJY-mOBI_=A}joDj}lh6bXU*r^Aj}i#yv!H>C?g=ku9pmA)HkS+6E7fH_K*0E$9hfAt!UwVn08^dq^p=d+ZI`*!q^Eq*t&wLh5PYC$U0ROc>aDuwAROJiU$_HLEDgrA5 zySalnSQ;}NaB10%o8Rw<8+SjlDCVxfN=iS(*D13u=lR{wi1A}oLO9QP6I*@KQ;y@& zDsl2=)G~qY-yUbtEbNl^)EYCSqXzZuNs$8!R{{Bvmd;RvG1&U9aobgy2A=byXTF;uCy6abBKl;`{uefNEXz$(bwLfW~Uu7cT;@FC!l zIsBwCdvrv1;bmiMu*h9gd#uDL_c1z54ZOh65q5=-JDnWVnV|q`#NIO4*T(FG^2Q^N zXoQipuzXB}WQ@b2W`4miK{O?ek?e1!tu|oU>hjvy-N+=wDDTf*MnJLPx3)&+QC(Uj zTO9yJ#)Xhz6T1ap!_jT&YVd%6duO6VIp1K3i>&T$!(HbuZ&ZTzZ!J%}LK?dZV`aD4)xmxtzBoj- zZ`B|LB?0v}2(d%OLVqXm(3Via+9K|wWL$G6@|CM#wwmd{5vz#+l_ z5;MbAVy+_`os7->JC0~ONZep8C)^em75$*c?NF&fD`XFhgiMwhYWOm%GtV%W)6s}`kuzl6#k zbtX)Yo33fQv=fH5gA)#6aTr_x!K=?_EPw=#Lv8PJro~F^DyB8 z4HDfmNTVAZb@QfC0v$-9_}WBIpbvIqJSj5S~28+dCT6>a(6&IAm)Zx!~uc=KU0_>Z!DzqC(!*lIE3d=vqtIYkI=H2lq%; z-gVLVhtcoIK4!7(ihPHd`K7c)eX*T4uL?eW+MOFQAJ;pV0L+~Ud~7-?Yp;#>Iu=aR zD~=MHuW~oE(SJyb!gKA4olX+r^Y{%fm;4k*K5Id5&Y4$3UP7^#l3sb{yt@|PEC^C{ z1UiU2YPa!3|5(fc_RW9zDfBm`e~T3e3Lng0BilU8a2fIwi>!aRDpuD|y(V>#gFPrp z(+BCvz6pPAPxaoemhqzkYF2B#vqy6B@=Qlt+)G*<3y7qHCk3+z{*@%Nxu@wMFI2{! zJh^bn)mLFV%pQCdZtvN2FET(&hKFP+Sa({alh;_%>@9EV5N*n@-nIN}eA*7Bu-@;@ zmz%-?g90_}A#Pj}4>S+EpKt#)VndAP_!5f2fu(r_XwQC(X*?Gd(RFbn5dwC(;E9eh zvT+`2q2D$YJ{FOwFQk1cWEB{WygBIs&;b8Kd3l}Hw8dJr-jEu|Cv0iQo3mXs1l9?G zlzb3VY$ckNhV-((S*e^y4MVxle=tT)gCoaZ>m%gjw0gq-M-x?d8+lUyAWr;Pi{5tV zS5bOwlZ_jtfrRF7rC*I>e5VYkNtzLSqIxAdj0zb`uECAF|6}yRCGF>Y+|t(Y%|7cr z_@?zuHEKijMx*mJ0C+lD5Tz7rZwYu;*n%<6afm^L_SM6gx73l31jG+4vxn<;&PtC| zLB4+u{u5os_ejf&Tc

KcV82XGxfPDpQv2GDyu){;%%`Ib zzrv2H%8H3@eh@XKZR=CWTfq%TXRiQ6*BNmFSYpJ}jB|r7m_Q-emeV<;mhT(7q{P&yHw@#9#zd_aoUHDxZXo1Wq4huS;| z|58=2(=By}{(d0Q`#OG3untcM+#RJrN+v*dL(m^egzN$G49 z?SD1=`$vG^j1%KkV?WmgL~UU|(g5fs*riGOE}8_nniajH=ulyLb%SifN+P>R>g0A0 z5xpEKeC!d2P8o3nVn21T^D03(+DxLBj7#hLZdWtUA~)B0rp_WRlV0$cBCC`>PQ)A% z#AyM~w`|GiEk7?l-=u0gESR)vBJv`cXc5W3k3)BRP<3|5Rzig#gNN&21wUt+%26bO zoQuvy;3ThZ4GUvb*mwpJGr(`}oG(Yl;c7S>T$CI5RLYXz>Cy4jG4ar_@H-Ds9sV^_ zOqVQEqO5nrnk3a$DfUi2M#3>UM>JYNyL+Hvo^EzffzsJxa?iy{ z8AqJf1CaNg>wiRH)i>3`e$;1L{;*4w(tjq?KR!L5X?Khqi2n^rSyfQd$+;`(b5(}- zCU}0s1WkEK8*gin|KP8K+m80r{-ju_jWbSsqq*!|9~jMd-DWYdU@(f#;J1jf}Z8Yi4=xci6t<`~}Kh95s`!ic2Gt;ZVcj^<2~&R zDC4deQ9PMz@ep-=hvOljM3NoMy&2!~y`p}wE?fJPb*IHi2pU!ZMoN46QiDw_$GUQ{ zqiA&r%b!}@qx8;mLaoz|wjxzRdZFTA|JiJg#oIP)=ePoV(n9~OM8f&rAbd~%Fla+_ zL!Hu!NjKBkq0Np>nV$oHF35h?j(N<@g153Nk3@jWXyHIA+E-4G_?bAb>u@fyj7yaB zY6qt@o(@Ta9;Pq-`BrI%v!#Z9=x9P^5YrC$)uBwqe!LpAvIN*479eKT?b6Cy z7rd;5KlEG~C?u&umR9bxCi?M^i}H7hdA*o^o`zA65>+>LF$#WEeOMOu!+CmQym1f+*RVXAEElH9_fwbnY$ zxLLz`W_{Hlt(0mBi-_VJwoWe~v$c*2Ufr<0^wlDPpHl&0dHfjH3*!d8h~@sub1=K$ zAu}N7*5#BAIL@lsj*Zf6ovu{QJHe=aY~XNgl2=QmD%)(-YLTySR+kz+$;wLmYMDj{ zKsU`K>QzK@KQUI(BZ8le&54bXKi{qW`6jdqHX(W0<%L~G~K>R z!skipAs)u#rI%08p6mgGT;bGezb8}-=_LguRIrr{_fxTn2zhgJb}}BLXZW-AD3lp+ zZVElMD+At*Ag!}@X>M2g8-Iw`5B$H8&i~)|%>NL}|4HZnvc>;XA^#_xGqL^O+5ab< zGco^<5t9EcoiFXKun|gxON0#vxWH2q&ivh;0RWDMV`gAxkq9FQ3ZS5@U`Qr{P)bBf zT!>*w3@RSx9_@Mk-o4en{9LJi&T`KEzVdzH`&ArtY;)K;g~aygmtea2pur zHF!`LkWK*uBp-eOQRuS}6u_YUk)8-6RLJ0aV8?(0<|>@@YZeCvfD#j^e+}q2HOxs! zi1#lAAqvV%mB_xnVSQUQn7f)_dzbK@1|D)iI$BRG62SAdBj+Qa!?iKZ80176Bm<5fLdZSbzr*L9d+MVBcWYo2P&uc3_`@ z4X7X>9t3;-4>B&a zu+Gm_!;H9)FW?H1#x)=yQJ>$h-n!B8adg1Y*N^b;w!WdOtZRG<)^A?qudTA0*c%WK z$cQLFP$3c#z#e^qq#?TCFN`rj=#T87|GU+oE&{+g|GH7#xjv@%FDk&??*1O=7jr5e zP?Z)$z$rgb8)5>2E;RumjIkyGs;z0ru zB$5T+@c(fdR4b~yNlx7M%We#c!SrKKX$`^CI%WQ4i=}D69Kh8D}fVkPrD^E?@ zMO#(aBwl~Eq`J61EdOgif+vu^nx&I$jvYI#rE|k?o|*Xba0A64WOm+)skDi7*EH$e z+I5<==eYFPnRJtxTarrfxC(^}B~!~Mz{kpdxt3v>0dsN+g5iR%*TgB3^pV=1{MyuY z3bH5B5m0|SX&&7_0)&WI)dgbP-Xp_}#2L7o2a=+Cd(KK5tq?urLt#5qH%R(ii^I>i zyGd=}fUN919(^z|qhRfs%$?S6OQ8)}fd@GTaZ8^@Ho*>FKZD<$J|`w!MzRk7E` zq`!@Afqd-pr^=ykHdZs!%A-iIA8+kOC0}dP!`&#s!CR;EJ?ifDP*Ezh5pN1);NGTw zj8MGsdsr5sB6?L!QXHQ$OZLm`RKnS*IxLxIGaBRGB%9o^xnYGoIw5M69t{;@=SbVd$@U{-)oNXKi4+;DZQ|1hV_ zZ6I6Pp%!0PnN`G}6iwY~vTPkbPFGhAXZ#l9Y4@UgzdA^yjd0NtZ}knKcAT2E45)NOpYd-?J>8Dkj>S# z>fqyG$7TidWh~Rx)81`YHG9!V%Qey%CBvL-P=HX1VUCJn-1QjjN7c zku*n26nb7vi{E=>Ig7^g#q{ot{)EG7^CG1z#lQR|{w!?y8WwaHQ=NXRNwQ<_((enl z!zV+g`5AYIbjRM2_Ws$nO%Wt58Ye_w@|>;m;Bnl-9Gg>oaITAQJ~^LMR#E-UGr*JA z^e8Obd`aFlr&L|H0TAaVm4WOLWJ);^kzHRTaYLD9Cjip~jfD_ixa}eLz3}P{dnb2U zkv6WsNkr%NPp_TrNvWP*^jIu&+fTEVqd=+8lz{B|0QaulIbz$E5c$h>nH`;Lu5G;? zZPY92abhX+=*b;(98Qrky##yQ&Jw%bJGogrc{Eo}YpI~tM=T1+Gbx6Q$_K1!D~Nh2 zLw|216bw}wQyxy^nhY9`0rRpXJ#Us|H4yp*LnN<6969J6h;G0zWC;=}v^HeVJW{V` zUhi;H=z?2-5j%@tRE&q_W++eSGjiDy-)S#v^(8}-kGfl|dBBRAG$T-+1G72?H97Kc zt0`|szBF!%X*m-vFJj><-8FQlwGO+|^p@Y@dB8xCk(37+%1Ezjv>uM*t&zc}yM5(jT5&RHe(SoD#L@wn}UfifWB3d6*W zAzh>Do{@}Tu%5v7?+E|El=`x~*z3J0`ZrPmHr^SgavxGsBe}eDngE+I_6!%8 zh8i_rnwd2scfk5G4zW*AOg;a3YC_Kkf_1-5jcy3BZxI#k?CmypwiismZFVSy3efoYYecwvxOSR3S#X>ZH5QqHdJOlAoy zg?mb**0daaeo^O;S%7EPisAq)*6*P&lkIM_{Hvb-D2U*16K7rXG3;d8 z9qHYOKjvfQK$=~}DNmyE53m+UqJtp~mGiqNa+@}@Q6=oyT)(L+R^<3lf=L^ex7g(x zdmTEU!74ve4V~!RFJK`sq0P1DA-p(C8oUJ&Ku5ni6T~>*PFL}!HkagHTU^t?qe~lq zkoH_dd3$40(4wnMTAPt7PkEiGCSO!w>S@kyPp`w@m!L63}y#Cs^z2vITeE>ogV_X>#u!IA7hr5cd=FbCf*X!hu zse564pA?5|9Q8Dzx_sQq&X=svlK_h6%~>&Jr~DexzmzPVM5*0>v8Qtt2aL-u+$2EI9=TPJO%&u6XVL?7Kp3p+Xm=}0Mor5WQFB+GAYU|I|s4P{N zE8pBI0`=>;>P=G#TqOh*3}5AYO0!Oj7f?oIrf~7PSnj5fu{$?;jG+^MIfCKewO$Sp zM7-%hNgESoyJIUN%2D`Zkm*acw54bK(w>5nqZZ!=K_R9OA;0E|nC%ri8rKrxM({2lcgQ{hs2Bb7uQPV8xADs6MB= zAs#j#X`ICzBjdN~XSQ&7W?NiQ6Bf@h^)lKN1;JtaWVTk* z7@BF0+eV(N{EgP95D?bx9D`0p40j$wOk0PS;9~p`>&nzNSBG~GdkyYx&t#oLMt9Q| zp4yZGBmRz)BcM!X|92|ZruEKn^~#*8bDpsp{9M;V+M!U=*KwBi=N`#TcROg4yK$dP zhAq4w7=3B-wAAEqa@B-lC)(3T11?F;7Ch$wwsJ2&uelq+&_f;SuT9|%TkxDnAMHX* zhd@iZo3Pk`M+~Xk5#5~kjLv1A`y>2*besVd3HOpJ+$H9V6?yPahbm8>-sTVQkul!# zAzl%%mLj8mj^^@b|8M9>GIAlKeDCm+>hMdlD@^=x^eF8=PKWlMt@KFr>S!MLZ}^L zSdkEqT{tYbv7${Hhk+Ni=FnbuCH&%K>~BUfb+n@Z?%xbTKrVkY&;^mbh~y4DQB<#vx_-}87kg$MxuYV3r>#&&}cI!VKD4L>sOP^nQ z57@1C6W#Z%c!(}|8^2vy7DIDAm&m8U;GgRT+6(OatA#ARc>d5 zh9$vHSoM%?-Y1gg5{DUjf`-6u+eKvOJ&l;9M$jtwA=CrC`%*!C?v2$AKNLizETGUe zzA`Po&5uy$Nw%OWNfx6HC6=#5!7S(P3Wb_Nx2R+DQQqSTJ=x7o!qJd^4B8`u+ed8{(2CB)qbTO4;O`0(GM-2r0bRgLM~~Xjdlsqi1_05cS1a| z#H8u6hhk0Jeb((ttkw38M;#f>fvz~o*NwP(j>~i{tk>y>tkX7I3pB(GYXOlnQ zdu35tEju0T)WWvrH}MWKdSmhO&Qp3G_7OODoqPIN)&JB>9e zIj4AV*v&6Cpv6asm8#uqJ*&5XdTqq8IS!jk{sFh~s!d4^M~+TzMOU?HyD;ER{H`y1 z8R!wx@k!>`eIil2!mUx7oAcF8o8&Xv?6RPf4q1OW|NShD8S|Y@_C5Y$nd{^o?so>p zJYIdi;2a;X*1KfwTcE3;OLlVk>h^ngH4XzyjXevpXnPxBhJ)59_)E(D@n>%G-Y=Wb zi!7?;cI0M0P1}Z!f~8&Anl$Gx6kL=j4zqCDC@YFNlCUn=AU)m^7No5ij-H2em`f+L zqSGrTeM{xatK8t%tmb)1qUEEV23~AMH}$2%Zh5P>e!&f?VO_4{cd-}J+XXqN*4sVA z`LU4C?E&6I&|6VkKa)rFx4h~*0ld(UDtdHPGdB36rXqN4%|Y!=#Zbt08vMnEcq0;N z2q<4p*7IsAYeH_9l&BG%l;LA4ibCB&{L1=q>-T8Eb`5=U>bN%cbY+-06Xd<}EX`^R z)V(?2gp@@jc2-cj2%y!@2p2Zb9 z{aG2X2YuRuD!OL1tEm4KZ5X|5kJb8n4PP`Zh_*rMCcD$Odch~x9t789{wJ^fN++uS z$yhCjE68VJ-A!g6d3$avP@EXACn3;j7p6lKP^p3Hl|RC3br_ReuiNzvTUA*8EP}fF zkNlUeEx2cZuqvW?m9W*$?A4eZidezyr}H;Cch;l0k0gsRdMK}c)Dw;_(R&$o<_S?F z;??kdQk`rB_E#93PG84MU|JrDmujF>=)%!PInC^snKffcu!p%1tcPx`xcUJUT48HV z#DOT*xvwYY;pe#TJti0C|eCvFbEoFa9dkRMXg5QyIj!NxX_r}oJ9iu{oVHv4B7ZI)M7u@66(MmFm7aT{v60Jrm%r&@_R zZ0+Xh$nF&C;~IBu27F=|TNL+q0Hqp7>2$PA5A&cgYjYU}l5r%+SIABTf|!PdD%B!P zm4R&~37QVQ{$+Q zjswx1?A>;%NSm@4o6KaWwtZuFF4G@5&NCtp9craB)7)CAOr^eBWi^x^@sG+60)umB zrJwx;@|aTA<5L=$4<`i=(xG~^w`zd4D*`$P-<9Km=4Q?j5g8=(v&=BWmDT1aM>5(p zCh4_*WM!#2?(rSzx=D9ds`3=sQsZN}AniTFu;V7o?6Ixqd`>&<8s{0hY)&<7b_7K@ zW|Sw!06ngRHM|;UrI9~5JSi7qwc=nkSIo}!Dbz7WM8kaOs*b8FoHhkH$XLQf?)U)I z7j{pWZSuNbiP)62vlHs*RkY&`eO9{vdW;a%*6BbN&EoFJZSpybz1rPL*KO3E4d;gj zszB?4PPHC4dbSymmbXpU@@aJlE|?GW5Z|WrsK>NLytrI`+HSZ!zL51+e#%_VB0@*M(dx$RUHq~+Bn`3H~ zd+B40K(<->=G(bmMy??5B6GrDIC)d`TREhhT>|=J*ar)0leCqVDC2EZ+f`%VstUyV z76&pKLK^Z@HSaiBh4*m;_V|5`gO_nKqtoTQ%jntR$OW>969yHB$1+pezZ3E9A>Md| z4LnI>;StPYwVWTnsZZJ9oRc!TMtzILWi)rM^xBV&pLLB&xjvjwnp0f-x|F)#?`Ei= zPn=wpk(E*Oe6vQT{4d7NAxIElOV?%Fwr$(CZQHhO+g-M8b=mB)ZBIqKm=_ZC6=o2cw${&rharx zg~{5R`Ha`x>111E+eA(kL=guyR@JnD4hMhXu+!)s8%5NSgAg)nBTYX0#g}yVDisQL zlwH9|TS2EXs@I#hBH0RQk|Owb+YYuZTl_Os#O?=-ruww@sZ}4_yBb9l%c+?P$Uh#T z#c>svKs&-IB8;ZXV}h$`k4fq}lQ5K7WoEkSE?T{~6Fx8pao16g$NRjr(b>F>dt^9+ zG{z}JnB<_@2`9Yar9m`Gru5DZ!mK2$xK~e}U?w!TmTa>ocB=mrehPH13Qii*c;tkT^OqHz$Fv_V6-sjyZnsm0~?W zRaCAv*nohDw*LmWz!7Y3ZxeA&_xCddPtOtLE|A6&-~ug3Q2fS!p^&7)0|Fr4V|#l~ za$Y`vw07IfYIr|7ZZ2w1I%;{F*tnwu8T*Qe2LY?Y0*YTlK?0NjOm&T=2?+ooP!Iut zLhshsWeX@UUhTR0x-i#(Aw~O3zkv%c0b9ijZK<9qSQO9!!7V%o0fdME2pK5}9VrQZ zg&z>9Z&(oz2|$(0o`N_4UBCb|AULu8CTij>U)}<_848!&K6^kN0=s~Ok`j*H8;5`* z>@{Gh#&BSlE5#WDb{EkEUKoQI0Kox@UH_7QNseNLTcseNJv}|3m)i+I5b)%jc6hhPV8n@pdko?Z z-~qU}1~inx3GCv+{6JSfpa;O;nmYps0SWy`y^z1F6H$D+*YiSzI5@Y3e+cc#{oVo? z*lE=nM1hZj4}f?30et~4Or*frruVwA;WL~?|INx3pjA{DfcImF|FLioPr)@s2>=q* z2W#=aI+jygwNP#<;;pTI2Na|qb$==acm{}`o8BOQxK-4++pv$Ho*;p}xCDJ;4zEt= ztii%~o`EbXe+CQW?><{O0~7%i3Q96EDi8pEpa5TinV>$XjMvU!e{TQmd1jFJF5)df zghz~j0u&%I--9pW8{UC{6!7v61wZ~=-yMVKNI)Dyf)oM3YmiW5KkjbLm@seFv3&mU z74ZE~5oP%Z0IwGhb==l0LpX>I88>}_-vp&vtRyrUI-leaFh>id} zlrbeDQiGU^OS^C(kY74_^^N~mrJk(DXT=Xwgc*z>&^7A4NTqsBIv%NyMSjaNnigFpC1$C4r0b zWam7l2w$J`?G9KTfOFs#`fXZRqKlvv6}Iv!VfPyT}cE+QQHay(V2fv8VM z%8Y>ivAEFwEaeKOr0Q#&8_=2qNKONc9`XS( z>UX9|f+s9CBx73`oi(&qd&X@YAiutM<7=4?FjZJMV$_4;R{UN-h8v@;*Xc1OB%N3AgjjuS0kn^NK35X(eb@B7sdkmTEYaJ8nX ztQZJ-B_3#H`f?HnH#1`8n!Vky}vRG zS#&d%A4Xv`Lko88!X>9=-}5m>C~LMC5kgZ}Vs{tDv2ERMf!pav?@dAyR6uOH1A&mT zQLz|%n(!=M7Qq&+MCesDC}z&Dky6D2jxJyi#&UEwWWt(W5%o&5f!8vY)V5v8ouBW< z^i^O-Zn^myx6G0<%#E{)o5vDZj}U@>wr=_< z12eW!bx}?VzHtM|oME=txy06FFk{(Ii5F&paD>GP&1;|}?dG<$*^DTG9ZIai#}bx; zR`Ysq5Ze4UXqsrygAkdeqthFF8a5D}!4nK&R*L1qFjh7}@yYx`s%>00$$hTT;Y#YO z@C*d)ZnjUoO0lW9%+<$bBxb%?OBt~Pe5#)J}mH+ zDBqvdq56d`IZ~hcsx!yvaz#q4@tvu=Pv;7T!ZRWWxG@@QZYX$=m!2IGIStfSUws3sWy4i^m9?n_h-ewoWKG6@GIL&hjW~y? zJX7rbE92)jT4mJ!EA`}kY3DP)U)*a^7J1q(8-fs+Ed_EpRf-j9#1>98$#}-MB?3Up zc#yd_tTeIEmNVyYb|f|65pzEICS=hqNOf|GUMa?VZ#h3NsP((}tY$)0M?ZhECe6eA z)Rx*5zD90zk0&n!Mtn+`Jr%wuUCp{CTpz{sL71Kz<#Eu(?;zIH22{k1&L2oF>%=Gm1& z#Fw+j;Vc!Pw7mB9Ae#dScz@!I=3cv@+`mTmf9TipZc&_T-W?np4P&WF7BgBDxE#5^ zHWtB#IKcE3A4#NTB-30v#-V$2OdA8$lT$VL=LfJDT@?lGXd{?M@lj6kd081s6c~~R zK0*kwrCct`fK2$W;qbL~EOOpBF7zcU)Dfc`52xck)jFJW;QKAI^%tqjpte6%Y+IW- z`7l;&^%HGEBS?Ri;-AkOXona#Fl`fLn84NyFmdWJI`y|a zlSTaJj|tu8@5DMw_5?@WUi!;cfs#w81L-Y+RFlP`>bh8RC+9xF2$n;i1t{E=&etfm zI^Tukg7Z5Yd8oZD0A7V7*{9rmM>8}&B_b0C*fvkn*#6|_-n55vA*~H>gp%LB@Pc?G>v%7jax2)1Q{VV zaj}Vu7a!_&J%2PU9{XHR*R{vrd!D2VruCkE8P`ccIoa(cZ=T1EZm-=@v-|^^n0Bx` z<(zdQKPR81Rv0}J9vP0i$3Lf~Xqf02q!}W5r_*_w&Zg1Fub};17J#yuT(+~(yzJLv z;X2U%m0N?LuTKVGM6I)b-X7F99F9f4=?B^xL}0dmp}tb@Y=vo6f6Q{$XV7GO*z`bRpiVjUe zu}#i1Ogr9YheV}PBIkvhK8jthI@Ypo#`a;#s@BtuMTS=iTgYC1t9?gN&zta7J99p( z>FH0hAcU?kxh%Vwt%vU^azXyuTj)7&uT}mc=pmpTGf7((`0+WsyAn_de*L$>1wN)u zOCA+`wW#v02z#e?p01h7uB@f!Ok|+*e2mo&s)j*E$S2{TQ#1w67JNkiqT4Bm#U7}|k*Cn@6`{+uq+$?M|C zDhW4VN!!GxQ^#vE1ZP^F;ZCICR}+lfC5ow%^kPiIyj+L_PddJ8uU+^Sv8p zP~yqIKPFoNW5d zbXl;kdl5}>$#Qa;l2bFPI1E3%3I9kHbpkykaN;XZd&=V!^`j6WF~3(PQ=M%1>zA%y zIU8ie9(cr?jiaJ{09|?DO)5XWbawt>`=-9aIyUpwJ z1jcBN@76c-SJUl6P#8WOg{_JC<}BHPBoQSv950jDykvk@V{lE>Xm&4I>vq|i%IR~ z`i6GxL)Ykh!o^RGwgW{OwH4wZrDxEW7hZG$yw3DxyHrnljK&$0yvy!|l-JiSRy?Xl z`WNaU6c8f^pZCc#NsJVi2YqJSO!fP~bjL z&@J`E{3q4>E4a6krK2e2dR#Ynx(LxWcr&KV{^s~a!^?@IVy3s>^uy1RU$aeTxs)V6 zoBevZW9pDBuW)lO*D3_2?5m~XOB0wpZ?r?bHF_1QGsJX34-HJVhTh1m(0ai$nPRtn zO%RYg9C>jGKA7pSzx>O@Rrvc0(9N+kY2Qj?Ce$RxbS;&IPeI~^n81mT>Bu|(xdpQrjff|}(<2GStd7`GOllZ&u8b2iF=2d=p^WLku$4`WEugn2` zJtnS01Plx}U$^I*)11y%nvsX!b-+B+P+jABSv zI#AKk@{L~*f;G8NJzh9jcJdGWJn2mao)>9w-%QmEaK%JSKNDQGWz`M7ndEmfsa|Yv ztuZ&IwRz-)zF60GlAh*$0%!fd2CBM-5_&AM&!m!NRmDZFsBEp5B#w&p_R|OXsTffY zWL*m$I61X_8gb5eS)c<0rV~~Pz+jKuJ!5^jHs2DNv@^Mg67FbQbhAvuv4vIH8KoYar_th;%}ghejISf(I^AmQiGSrp zXii$8e)rK--~)|b>4{A5qI8H>jOiJ7fP>_X zS=hWFkX5@^H|c7kgCV)jk||zr^53e;6yVYy`R?E}OLV7*Pz{P%v^Sl~gpcw*IvP7V z8#Q-#t4fFYzy!6R>#QX8D2=ntDRN?R{Lm-3{m*}~w$;9AR;^Y-rFHZUX zdxwRco+gMkPSAcqNrm~b&b)}j$#n>B#YZ#vnE^R1%XlSqHR!tUI|myTEynuybtUAK z#%ByBlc*q01nRyUGX&aFs@=;?c=B;7>haYI%F=T08!&fav+K2MdXq|XzA(A7sk^Q! z2!M{s8qq2XrU+LvOw&g752s*O437(@S1E_m)ZBdfQ{B9WdpnZa8sEx(GMb`@iKalkPda|O0XUXMHR{FB^up0W7@#13l zYOXTcZh<2cM}ew3XD1#C;$H7Ixnh>&>N*qbCOT(eMwDrNozC^5!PI^eKi9KA0a8wxm z4b%#+MV^Oow9b?{j+YV(q z5YS%S$}Fc`>W!lx&P)nszza=z+4d%xE`4ap`~(a9Oa3%i+L1`0ICD%~f0qyiwr91J zly?1lVJ&vI2BvIc@f_U|1-M%yKjizToeb1*vS{@jPwt|O!2rW`q3Y-}kPmFgCb`*HrUV_#i z`E-ARn23D{-+0YzDb6iwsQze={-R=om`pub^2+75~C^|DP%6sO0O5cK&cj z%Mqm5{0{D`P|}YTUtr^K;!O1OFROqg&UEw*-poFP`)yqgO*+jgUofvdizmpeXm%t( z!|AIejP)c|xl+kSZ_DGSXuxnVvpFf&u*gre^7r?MSK37cYnXSdu3>^fuJ6Ij(af#8>JlAkvg?UF#nrmB*Zwi{ zccyBaYE#!R^UqX644|G(k}ry|ylL*Th@CG>joMy3ly9h!+qTKyxl~*s70bmSbUBT~ zOW{s7!SL8WJIK1stdoWXr?ZZF>VM@2kCU7dV)~=d045Gi^&c`Js46?o&AkhyO-(HA z0jxC-PMU^FI6s312&pGAb2UzYra`2cCc&;jLn_*-kIv(lye|dYu_)mgUn_k_foBq0 zB=UoiVtp`KZ5LwyR)lUEgU^_{Z{kJBE{GVk-_^))Vn1Z_6G)Q`VyzbK+5G9kNTc2L zxv6=ftQ){nqeLBY`$OMpRgZbSZOx5Y3>9NKuZI|!iDTIE#`5&{Y#v_HfLFvdKzbur z^?8f|goQrgpfZjpLltiwdOf12_~&XW4|knGFVkD9%>TlwqYR_PDeO6xDXqX=HxC=s zZu!ITz}c@*)Q{m#j_c&BSZ>ZB2C&qj04&$vHdtmeKmP%&Kxr!$hE|8JEqG zKXBFkS^BtC3%Lq-4kzwOkphD`P4(*!Wv=w66{=jj{Uzh%l)2jE;ygp<{UuoPNE? zlub5k28HLQtD5uWabi&)ZaQCxP~Vb`ZN7hxI^&Dkk7|>w+k8;@UVdztb-M;XzN8A( zg}o3C^BrjpstyVC0FC!~8iL#j&3cay_Xz zWy$K?w=j0QCua?F>q3q=aPmJS+m_9(-e>q!a{Io_OxQ=ai?>wM3q%3M3&E%F-ZLe< z$g15rz)XGaI^uH~4+Ffl=e8|wolNgsNvUHUlF9wbs5nF)liKVX;548Ag(Snp7xmU$ zS|5+mhFc7!yO@u;jxsa?rGGmMAkpUH*P_#cO-S9o8@mBI+4hBdp@cT3$PWEXu+w%xQr8C1Eqy^a+<_m5r$XTg`- zCXS}d8@nyy0mk3T{KeP|cs+|B28@B*(WaCM%73NwlE4{TG7^33XTsV%>b zFt=7W$-|!+s{4eSyXbpe!hW_Ti&AOV9 zd!8^8HKyk4j3B9jcCIN_F8DULYmHCpJNow<-&!E9b_zfmi+>FyAORPW=ynb zK&cR6<{*(=wUsI)471u%xo=V>|5y`W)S7(dJ@^BdHS=5k2ic76Kgni{|FbQZiJj>e ztMqp4Bpv})QbsR;LRAF^ zp@dQuP*4y7kP=Es2r-dJbR;MuXu%sXypvvLGdK6^-dEC&_k{mNZ$enDH7d*_3f)4C zP&kT$^iZ)M$~(^}F4PBr1gSN#5<*ha7%L()0;LfW4JaPSjD^S`&J>7379f->YJsP+ z2(*GAk;oA!u1&*C=}>c1P8<;5QGS`aC($W@VN|tqGk8f1MDe2 z17D(eNFreR=ClzYCbm35QU(Cti#R2gQiUv5;x-Tf6Ela#KnMg9r9VorpQ@gdpsiOm zl3l{6`<=;|wA8bRtvikDorcQ)_Ifa5HhzTx?C~zl%DNsr&2#7$Fv_ApP0FVoH7;z8H006F} zQB)P6;Zn!^~f#>oiOcl6-1q$aSl-Plq8Va{@WIjR# zqF@ey8kxC2Tf)fPm=HjmaBMlXTRk2uUA(u4~D5HJB-96H2opd6`T zCIj78loYX@qQP9G$)NrzRDC4~4XixSnYQnGWq;4@Fa7=WQfT2O$l#9(l5c0RAU>wLEY|8iGgn<$+5oVPl_|p;2;dl1c(Ocp**o)d`wCLVS|KY^j8 zKQTbkoxeHkRO^W5`o_k@&ZN}$?8OFDc9J6sk2X1~D=dI?v0)~}tA&9yZhJsbcnmo3 zTJ%0J1$81Nf)0=ZrUC*F3|5dYGZocF08{SXMVD*tCB}Z=Ud=y7VKLR9Qy|xNpqaWm((X}er z9DMjXes?FXYfjHXqQhXBF7$Yj>XY;fP%3~d&6$NGDUbKZ(2HsnpRP9#y;%<%&!Kuo z7P4J8&uqnwr*I5@wFhJUNhfowgbxAN%ZKal2MZ@nN<(WnC3nfW|j08+~=CRion53~@%zkeaZSK3PAbq>H zxlME~s4wf+J#{jZ0UkKk1S#$nP^f&VHt`6= z;n;T3j&A4M_5Sf$%Ik?QZZ6H?&ta`b=XMj*oIDjx7Wc z&ErKjmD}BpUtcebVK3)@l}#g!yhSM*;E&-{lG5M7p87@#MX1z>xl?*POELEkgRv;thx8sIWuPFc=m1d%DVA za7!d(I(T%H185HHaoMlX<^TO_pZzbm{H!Ieh3nt;o6V)@X=B5QqBqEjwW$Xv%_F+2BROMW`j z@~Jz~s(XJKnF$-5=Y$R7-RZVWdN%abokBF+hF2Z#s>N+Y;OUzyB35eNuKTAy&ZhMr zCkq?hA)e*Vsa~+QTpB>L|7vZFflg%1jThy-w90oe~pp3j&<>qA_ zJqUKxRXX8p7TV%*B;3W6TLTXL^`xB;@2l}`GCq>*=sgg#{hku;LW5nNy{u8CxqHaL zSBzn)UkAI)3zU%BE4X}dO40k6{@diCxLKHhv%jz^d~S;k{tKR7aD9m~xzv*JVkw|F z?j=yjpyyv1NW?;KdaX*Ii$A+fk!K{%zi#vC&J=Rv8E>Ja9L*s-q;oA{!;wMM)kjnP zi_|!Wj_Fe1x4Z*FoN9*>si@K8>vy-#qmDkjf-K|?{n5R!zC4GBn>vAX>qg^TqvLGu zrvLJK$5?2he~xRE^l8$snE1g+$HK(?S;JBAwO}{>k`nnD%jGpFC;* z0(u*86DaQX?dst0fv4xM>`nBv{BcT33!!FB|5r zgwEv*c@mQ~KwhL$I;sVpV7w3MWHMR(R+pAHVbS_+HZ^ub4^KLUFEjXHx_a6HoilY% z#x-^G)0Hkz>yr!TgVxiw4NB#ob!Lq66rk0vhdM$v-<@pKId1W)B@d&VK31 zmuy>uj|yv)yQSHN7!noP0*d6-KWbWn-|5O*bn%HFB(VK~msJH~5`G#)JlWT{4)ToG zm)V}6>iKfd*W2He@YT>q4`@rAi)^p?YAn|^b25Eu7-zM+8R-Z!ZPb}~nrZuY=em^) zG!#04oF1=Z=(VG-OP8*)2FDBCHMFNiM>5S#*>%Qvm_V!FTQK4DWrx>VX!)x5_jrG9 zueM}rtjL_ULk}lPOjdG>c4MMJxR%+x@FMM&l}lAgMZdQ8s7wgMV4Ed1E#*_^@WQ01 zRlT{3HHomz*mSnZo;AeyOOu}}`h=_tuP3KM^lH%)V{H?y?%@~2v;tK3$%A;&Z1ChBJvM4DJ{ws$yQP-vLZ({dng0YXZTq@m_4AsB6fL+$d{wOcHsmBt?isAhWi@zREeUI~ z-$;Ye-7aNWO2ldwOl!tq&~cp4wDdx9#pNwED9(GmvC3|%%yNLl9^X3o?m&@04sM29 z2FJdN*yr@JpXUAW|u}cWN zE+;(73pso`6o{U=26ydyjmaphF3~4wPWq>DXFD-;u$J;-5^ju5&GN>~80`Fosv6kG zw^?JVVPgBG;qHxA{$VkMUj#i1jN^AYe%5Efo_cRLy?PZ7e>&Cm>__SfmR){4#Nlpr zwgr-X-_w)DKj4Y^>OfwM>u^rOD3*NXI(cbVupwWx#X&uRf7<@yzhq4Fy@=LICpU@jz?@UTl zAF?mUh1^X`s2SicWw(sklMi(t9p>c^l2}Jui}~rziiB3)3)gIOqxdRl&KHv51zhE8 z4Ne4`dOL5ffGL&7p5|r|Eu6O?U-=flyDq7fR94|K(S&lM&OTQto|l8<^vp3VGlAJ^hEIV3^L+6%lZu69nW)0KS@?x{S z;X|Qj2vuCtp9!dpC(L3PDXa7 z|0CSerqemW>}G~;tM$sSjMa9t)%G_7*ZS9Tvz613y{Q$R#daCvfRM<{f_Ldf|pfx!0Y_|n440%U=mz448ir4isi zSLfe=fU{evyVFtm54i*=1W3CE0H9eKn?OKBP*GY+_pilMNDr0(uo;*Oa~%LhH`bO$ z7N9YWOn}>*0JVR52h!jHAJo9e-rVY~E+^;gCpRD$dv4+=e|S3Q(iYIks8VPj>b??y z5fMxkF(5IQQb6rK-+>$5{Mx@ekSvYvr!o%h-@X3C=xN{YBvksNmCN%@JU_(92q;4< zs{=49;4IC}5$1nKW@>Ks>q&sOIX}PUFY`xo`X=WGIO4}q0+b0f`|;@7SR2P)2LenX zdTxcQr4t|z$myY+n}EBezuwNJ`3aTi!1z)={1L%e*V^#-{u%wmkN;_hUeEj)BEm(c z<|V%HcaS!Bl!h<(Q&c*|ztzRj0rUfG4e+x_&ROuMwCc)#2H<;WmLHd`rLF1ilYjMF zd8LouGy!>4Em5)T?MC2plg7;4$ll7*98SUUEnJ(JeDMe9hm9Ib^V>WNAm-<#-Ty-7 zM?Ia{$+7Vf;FMwE$65#D=jk)Paz=h^A27nCB%?*GYy7=a2a%FgV z0@C8--v0ZC^2q+JI*ax>+NKlvp;lWCQO5&D z9(}GKu(p*?Ym0n(*(v|_oZ4PK?;yC3>L`>#@NnzIK;q$eyT}@lB2E{Q3je$MzyUYe z#8W2E<7wrFWyo+Segu~1)xIhGxX0&kRXv4+4UBQJ@tAyBNmWbDArMspb={D1S!Kg` z0TU2(k27_-u%d|ZrLT^nG0MivGA6O!Ef3W zuunFg3C{Z!(vVG1am~$S*`&S*Qv|cATE#BHPlr0R^FH|Err9)<%x0#ZcTCFw&nk%J zzqQz4jdYf$PeMEQ9tF%BxF{l;x5U|&sjHf+x8#qHM6Q5RjE#_A>K!z+XKMx^*%lQKZ$4*pk#T;k;|rDFDr-<%fgsXlIo>crHy@F_RF&~I=}Wsdi=ub7GQFxLuA<+MXF2Pixn(x{s2y2(~MEHZdF zl|W`ch@VXx78RRQ=0PwRlEl4Nv_3J_hAy6>#_f!IFXGx^K?SLl6&MX>v58S|g>ACA zCH3v1TTEz*=Gz-mtbR0@Fh2c2?1A?RQ#-}Zh}E18+}G6qwqiZ*;OH}%Ql~y5TQ@Kb z`560_;{nuz*Q-Yn(s#^%l6>0^1JS0@PJZEpjkXdn@(1W?JhDg1Qe|VBl-kTzm=6I+ zaEhId68ZgBo}HxehfRj&NHKnv4AIzk2Nw+2iU|_*;KtudE~i6`PP*}s*@D=xg$b&1 zNL8kR&y?qs(J>+S6u=gj3Q~vrdeA+L8&&61uY9ievs4u1)Ore`vuGS{lqN>Oms(41 z2xHxEgpbo|Juh3R`%A4(GnE{Jwq|GmYZsXKXoC?#s1DF`FHymf<)rfPyx^Ix;6xa& zq=iFwkPZ7R2=C^FSDC?WdoOnRK+Y|4=SZsob0Dex34GyMR%)N* zP$h;yqBhrUiNc5Xnh`BfS^IzAm<#Jc%2R1)c7aET1=8>P2bz`8WWEO-v%n74Xq7Wp z673oxZ!$`h)^WwfY?D3;cZJtw`$Va_N$c>f)%0DEUb>Bfv|G_+xW21TII<9vhnLAI z_>O;gjnkIPL6}?}+k&+4uz6uLpw8^1gnVYgW7c&_&IP_YjW9{(#G!_U6x%sKOxW5V^&_8L!47z@1YHU zOd);;zOQwthz|=L!hbFXx zF^UG%m3daVFPa!6;iYDI%O-;c*|aomRVVl(3AT(Lp{nWZT?UYqfbDcq(t%Xw!Hk$u zryH48!Op1x$YQf61U&PCyH#+u)iLZcl&gSOhxOUPWX16@={RCMFTh6{<>y_Zm8OMk ze~K6)?@VEApTzc&-1i-X#cVNmo|m-gndxg{vIzrhZk3|HBJbyNC;ZHP zLTmi`HO*~sz)Uh6`O47t&&t;mqbDap`CP``o@M%GO$QFgL*rc|VajdFyy z-9sUaB*PA>uZqDF!7Qg~iKwbW%DDz=zQ+q0;%z@E3%O|<_34s+0PIxfn1rEHc}0?825Lj)%=b(RZfOFf^}~0v9VIk`e&M!#Cg;Gv6** zf;6%XZY8>L_<;}I>Ead_#GO}AfsS&-pF_5}c!#(nIXeB+QKR6V7bGOlQqj&=1iIv8 z0CCDu;L;%3pxazx?g(54eb)$`LDdSXAy)W`D1D(UoA}3eGD%QF4@+4I_mQ}2(e6{k zqO8Cy*ctm?KJ~*GI(PuMgV%J{9`-3Gm`XW~YwTXZdJ(bt%b@#lt5(}*y>JGuF*tr{ zMSv^zoBYuq=Y|EG345~ThS`EE+RuXKmINQl)P@ULDLhd#5Xe8Rd1O@OA5)uU+_Svo zrTYEFra@&XY@jA>A)EnMl8dPDlNNn-9aB!$PGBE-Ef!9}J0&I8R*MBavmSvdn!Rs`Sh4{}@H%BEfC$z^xAGq55k=2pXW6M0P^ zK`_xC>s*>dNMdkfNjjNoQD46XGb1pEVj()Z8B<1OO}ojh;Vt+^M>JXE8GcYz=?!)j z7om61AL+?I zhDpdjg=WNrnNVbp7Q8TR&yvz;FrGLjLP#w@X5{@hZF}Ntx4>e4OYkoaovQdHBp*1I zxvk$zI{PO|ho2qp9M;jsWMplrYoE6rxsf|h4tGgsNZewmv=q@SEI$w@UD$`g z1HkK*l;9$bx;WGG$y+45FCL{BeB(aXr!{qBrSy%x87W>1pI&-Qx=wjA)}I?DWDYHY zyj1Z=e@}UhBX2wBlm9UxVSq3$$^x`qY5J}JvMpnRXCTEAnEAOXj6A~NKG8|Cv~qNL zGR&&M4U3M8>S!Zw82yc+*0bjptqqzusJG~FqH)qXjY2^kyMIQ1 zlDo62ZatyEgQtX|SA*$H}?$oy;WCz;!}ZHI3KoqtLw0 z&?Luwn4*nd{>qTb;6sdRXT|T$pcjz;m;2{COHA4D0vjIntR%g|qrgO3mpcC_1Iu^v zIiTY1;k|>264@R0xDG#Z!CH^ixWZncvXRKaZ3mAVwLVw3&e9FLZtn_TT}#DYl(Tp| zGGprqd)yldL#$Vokmr%po3BrgiNyJqb+i0?^C<{7v1xJCLst*}36~Ap>Vde#({O{P z$}(Y$3eq!Xmj7AqbL&;!)v8y@SW%{*qzLN`Ty<=Hkd-kKUa%Qop{XlA*2S-W;JQdl z4gJh9?hE$elBuX5EU)@~ddoCN;*^BzHGq?j;qUWzmWh-^zIs;@#*ot*OMkU6hx`aJtlgFV54E2l_H z5ueMlTF28i-o!M4cP(z1J+m~$dj~ZYN(IhiAgx$^d6!r8TvR~R=kR)OFiT}?8N-8n zMN~9D6oOFYPca5)*IbBGML6MH$(`sBuSPhr&*b{Fh~ywbJwVkNQG{}hJQRxc7vN-u zxsO!DEP^U9a9)wOh13jbySFd$1tepiyH+srC|^AITug~v>5~<7+c)>de#K$soA1g= z{G-(S)3&>zK1!N)E3X8Ro`5^98Q6XvRVEdHCw#>WA)dm)ZJg`N@}~AQbwZIw_iVZ9 zRwrh8<2MuS{w=SD`UJ!xsT$OoliGVP8K!KMVLNZKc}5sMm;6O$LbujiHy60IKMZ7% zG#MkAc#v7u)4n@CfV+>-%#b}nLKvYR50w-G%!_Mau@O{a%2ULy_^3iRvlf$-5g4wt zG7&7!{6~q#sD#0Rr#E<30@}H+b7_G{m>lZu)y7VSikX68u4bKvn#q@w_-vs%GcP@r zShOf3eB53N3I`&oD;}@S&f$CyF>F%xFZ!`DKx<-y$m|8aciDmyme)D* z+z#=#qv7FLn|nuzcxMBB$@9eo_XJ;xvxYOP?|#RA*?;9$am6wd;Cc6s?-1FPg7#z= z1>fe>P1^_Dhd{W)_XjF?VGmfStle3Nz{dnXF4|Ja)pOx}RH}k7Q~ZTw_zOJDP9*GemVwvo?qC-F*)==z$w! zUD@K-z;{4RG#YpvODQe=d!K$WebW3>Nid31tnI>OG#tn zPnl#MP$A)d@eH71a6IpFNl&g2fu~~6MmI+E`aDgh447yeB7!e#(K6@ zH7A>FB#4Zk{B`a=%x`8HV`{vG5}ev}+qYBeV1XX9^|oB4yY+`JO0sNm_d6V88(#LO z^q2hUgzd%h*^Z?4Ty9Qeti4?UX2N;z-0tD8u2!Pte|m6g-;fhR`ss< z$cs@44Hp_HS7dA?(*W^Dp$uq)t~sScv?2E@-5H}SIdo~&jXF<_8+C>xTN*_S2 zoF)e;^iR>YaRMrEhgR%#Xmpz_>~DAjo-FF$&L1Wy);Cy*DE=PD`oYczUj3&k_u3{E zEv~7fH-Mtj%7S{abo2+^t{Xt*}OK9S;{F5M32)#w8($` zvu>JRzQ=1BeCu=*H48qf#J-5diP#FY9NBO!Q&~?mhq7uhPUpB2(>rWD(Y?Bwyfyl8 z<*nYNMd-{G1EnUYs3Q&JG#9)fExV0Az$ld7RVQxpkiU&3oH0auyZs5j1l#((!uu}4 zuY*ch{bDPW4fBdRDN$eyBvsgU z23P2GNV=%8QVq6!b^prqV4C7t$cJt)U%?IY5ruu>zf&C!JG#v6t2*4L9p&!QEP{4| z@l82XQ_lR1`te%pBNK0m|$OB!vz_nio|)vV8hx_aq|-6@~-iv5EG7NMcXHxvH>Eu6>XmQ$B;w=U&S@HFQiL&|BjD|Wvu z4##Z3(JrEb1_-&2lC5mWnuPaEo>**nF@Bzw!yYqbxlW1sF?jcm-rn`eg?-g+H6DP# zIOeGxso6BQu=Ny5k8nRns{l{PV{eVNvh)^l3dlcaJmxG5;YC;XXnFuwL<<;hMg0lR zd)3T>#A~*6PX4hZ3GG|*k0sP`wDj6BcH)puxlOiop0`s5DIPpbs+Km@{uksD%o#rh z4BNZYVSez1${Au`$C+1Hq01Dc`qB5pa^dw(GCN5&NqS;<) zSEk6rq5{@8EvG8o;WW#yWSoJiGg3=lMI4z)_8kN7ZL@a;u0O%<$QqIUt`PbofO{0k zM{Ai@!-BR!s@o0PwKl;RdGrm^fv;@Z+NQ$gVPbraDr5bd?tf52gQn z4+&UltX2V6-^h_#Jrtr!b%0{;(~nDyHz*$s8M>uBmX*!_l~K;h)*#Lf29H>jl#GE# z3Z3_h|1C z6#eC7(cZEweHe9yO!p$r6nIr(evShJuFCUX56**qcur8~ zQE~xtDWA!`wKlDDdy9hL!36_W;6hiWsSPB`U;j{Jj}Eu8=9Z|{f_Z<{%XV1cF$=u2 zT2b_tw4jm8L(Q@~uvrD+`k|6y|82ff`w>n%2gClAd(7E^tlHeM0N*%fILfhAc^DGL z!Dpu5A&6Q(FnXP@ixwksUr`B#Gxrf~^L0+DjH z7~Y1e)v0=#eo^`=Nsn`TzX*Ibr&wGwMxzwhXR-m5Z*N_I3%3h3D3Ehk9%UD%hRo+M zG{2XkV(WU}k+c0){VAMiw_0B%RP603V|UJj5Bzv&=QN4$w9Eobt5suZ(O77JXa+nh zN!}jjBkzXQ5Q-_1a_!9; z64vmqcqKGP%lW}->g-bjXcc2dI@|NnR|!w&HkTRyU!t%F83SrDT(JOJWNVG>YP;SN z@sT%PC?M3V*9e$N4pr2CRSGBLh`brB!-9|~u4!~pJ*0IYe|ESv2{b%6ECi~XG4(WZh-gwEs&fI0?3IqGLum3wOXkFVAI>D?_{GMVQPs}ThU?KQvRqRb#s&~C z=&C%hKjSwz#7GXs zVVU2EkU)n8wOflVd+Eqdr*YFv?|(ODMi-P{o-hO&6;!`lm-_zV)K24I<7;9m6on*K zNaEk$5h0zQ)Xo=492tsBkb%um^p`F(6aqs?kI8>Pq~PAg^O&4@La-9d`N+pWjPZZT z`fI@*xW*D|5`b!+nF-0z8r$FW+Ec&p(P#@!#{}aT0P$iY^7ltAW87Y z&h{8|*i)YWzPr9qz;tUKjLCP;ReT$BLOs9&vEiP|_w3TA*yE$bHST&YniKqd;A-;@ zLoN{>^odG8-fA=P>m6=yEGSfjhd5=f>cc!jQvD3_0cQbUjY&TLy>^J z_pDRsCCGP_$IGl{kM5km)w=(sayn}i#NxXK2GfThz@~Fl+Gf}5?nFH7$DG`Yv($ct zh3TLEyU55KZ*)LrYz5mG9Edib+}zYQs559s7j5{t5*dDmZUr@HNOrfDMI?u`j9QsAKxXF( zv?2z*U?hhS}{VI<_3u0PTI>5wNFk5qZDA5UU=#S78NhwxdeaRkHz!<51 zbs`WMLtVq5_bxG{6d_{bgv|44yj@N1dIhZv~o@(&S7@?Hij1I>#(z5_P}-l-r~9xRuGsV138e z>hD->^qF$8hO|#GwjYDQtRA-|h?lB36ZsA1zb|cK;Lj-cgvc3B*5Z{mP$Y3-ICE>q zSDJO;D2FAl>_t|E!5;?=X&8- zZ8-2r_YtnC<;JPbB$CvfSz`1CB)bCxCH!yc(^;t!M|fs*+yu0ptGCJ87w#3<_%+Wh z)hCi;;SeV;ajKFB?;wpoBd`v+@eBFqi`S2-hM<wtQbqH8lqE|**DHEcM*#enp0mnBfXD4U95%0ZA!uFq!N5M5GtolT^ z*ol_>3@Wpp-crd2>>dROS{LYY-Zwq_CntK~4e5ITLPm=8W%^VaHz{K|D zqqwV3R1n36Rti9G&Cbx`^%|KCDv4=h68f7<1#_Wnm$UaVO87|Vx<=)h$cEC42_cBt zJg`%>m>nJ|Eqk z3x&(LQt&kzDv36|TP$#J%eN>_K6o%u4__r+vMU7n*U4it(riy`NShl=UHP=SmQ~sQ zAe9YR>;laOKWK10ixc&1bZdPtqEa~xHF(SilE9KyC!kkuLaScO0X>~Z3}SES_4x=V z8r*Goq&^B$DZl*5TogC>r?OxddWwCa?uU{oLERzQNYUwXD5_sJ5a*nYmULWYHNLO5 zFYGtEs>-l3Gj&77NSGatWKNs)gwftZDB5PFYdav=L;h#N-N4~FXpJAyMQllRY|<@P!)cwy+Pi4V5v1YE3$MrKQ=bba#NBF)jYpExO{c7g+&*5-fZCRUlbxl`+H*~oo90#n9evALMJwE3s| zZtj(6a;;#N)|bz#z}Ic+dN&S1F*V4+}tkBGxilNQXe@)vHboYoEf3sQ=m zqWy_HBySPYME^k`7s5!GZK?l~cqlLiv-v~pNW5LFaXYl)K?=Q|b=6MsGPr7){fNyp z(s=j2Ds#X$<5qeR?tC&QD{?hbMrdIw`k@ap3q7tMSaTfwhTYpB5{t{e)UlYESx4%HVWfW`={Q>F1cC{DMV^VP0@ch*M<9y%6hD~|T9%BV#@9i!)ofh2*uhY71u6 zh^bn$r-v@OEUuBJ#9AYq^ReJl%(lRWn?CpaVn;8Et4t=NlfG*ojeK)1_a{%Cy?sUQ zUkcp#`Ac^Kx?XI{wGc4`HONk_xKgxjS6%eS^TtAuG_>l}H{#^A9eBmVGJuHZTGn!< z^oDTTi)B75Y)#GE+7!0orWNRP7iz$Q7p?gf7uH+S=bgb{pZV+x_d`qU<-K86oQchQ zdu20{Z`l^1$Xu!7S`DC1_K-6dc~;dtVR!cmX{HyW1wO$#XY(U$Z*?NChVwJX=Op?k zKOYepV{9lFi(zySq!Y$A2Y0NxfF+Fv(s*bL4fR|}mriaa8%_?31*M=`U#@*A5C^-C zYOkft;kQlelF56$O6s7`KbWi;yQ(x?TC1*?0CQ`uSY~M+L~()-xV+RR(c8?!ZYNtP zRHQPrO$~0KWs$3kZiR}TrJ?P;=HBu}W9zk2A7t}uW!MIZW%Ri?v6}#^k~0i(ihAoD zf8*`f`DitPpWiA(1MW!XvoU~DxT@W)5`Cs1=ayn7pYAeDHZy$wLjh(%ZC7nX-^Z^p zsL^x$`d%mz2I|^Imv8Xj^pIhZs{pQU`_)bu3wY)Q2Q@45 zrhH*n4?)sO($0`k#0Z<1``dodK}7U2q83$pc^F-+lu*2O3{=7Rt$@vWe?SyaG{}vmT;TJWQ$pe$%&w&fOGPx%kw8th< zMbqKxUde&MRl4>`!L;XT&8H#Gx%>D)PPzYBoCu(E%0J#Jeshr`4GP|aZ+niSM1wmR z-bLwAbnuZF(D1`bRCok2j*}olx(Rfl;ZH6!StwVP!}h-=ulO-|6a-J;x%;uYc&cOQxjBy*y{Aa|9EGh`>LLV zZ(uo$l3eN~KeME^A%RiJ!O6pi>Bc2T{AyBb?>RsQxXS_GvpzbxD@4~6Rq7#P`wj-F8)2Fk-|JefRCxe#u@mo@VBdXfEh;J$86N@Ma%;aXyk$={j$IDk$Yzsot^$y-bK1ArL&uVc0J?O) zlc3&Efv=cB;Fo+ZYR0_cgg$)!lS7;djmmsMCw#ALf?=6iLQo_+jzSf=GIM0mys>Tn zy~?*{t(5(FgYC`-TCn-=5q-KFh}xA+j?~^O%)hBrH|+Sw+cOx3AivF>%3C`^yTp%p zj96KdUiixRu@8bea3m6%@rQgp7E)tIMyNimZBk1kz>?GE@DrPZ`sIb%UR@CN6IzBA zTSEqKGNh!(pb3J^N8eBcDB!xZ_XttfpoA2mW>y;y=N(%5fl&L9qSU`ABwjt3uD@(3 z2Y67!7 z>*G>>35l_nrvDlzch|}mV;E7T!Nl7-W+1p0YTO{? zZjeut3}@nX%}vG7^~{4SW&kRCs*Z=DC2eHm-UrDi z&RoQqSDGQ3$2D{ayx_5}ywId}5r=?RD0zR6Hs8+^LFhiCA^N<#MEng_C$thX4P~MI zJn`1XEN=~cy$b+pu{{W_x3!>XTA5vPvw5=otp`RB#E9rFHGhnLrwdDs++K<7qhL6c zfz|YO>9?n3V+Z z#7$G9+dTo);mCqAnbFU4dRMtW zWJthkJY*?=82#@l3Nqyu%zi-kTRNaCe`C^G{DU#Q79n_ zsRB2SX^fJ^IXsVF8;koTMt5$&I=XVjM9M}Jihr0n;@O#HdSYz90 z%fpu1%uy8!gqI{uvl?8N7x0fv+LvMQ*6z+Ld>SjIyVHmwBJO9Y3@?wxWla+Y*4d-3G*wp-V$$KPa*6y5{?JN^ScBByLr~+q28%<2A{PG&&1w~Z1Zh; z=77lLM>Mw2rg*Ror^0zl&g)}!213$HHUmm~aL&4UrlXYKkkv>i*6 zTk@v(&*^>b0K)c{*5~^1NJ=5_QJkq?H8FLU{*!)~00En$#_~jaI+z{6SqIZ@?w+FX zjiSr?8Bw*M#|a&5cQi%&&=>_~zohG<2D4*M;_JtmQ2Hk$+beEXjmicoX#eKEYGSaCk)J_o7RnApJp5Je?QC!Xo?M3N&0C>4Wq~ zbJQbZ-0_lX|1oGrd18H#!A3;v$GV>P>n%Q679m5BaFXCM8BuezpH-mwmGM4JE~Hh< zJe~tu1BBr8=wNF2eQjydE`eq2MKQsUyU@D$elTK=yEZAn9GXhnOwdg}5y2B?d`Zs)!PYN(_#) z^7iSHlhGlB=NDB-=1SO#)V0hXM$H)K$E2N;+*A(msIbdc|KIR_mmSstyMul0kfW0m zwSSOi9uM?kvS<`~8J5BKK9y%zQjQz{6}0Q$%7ee_9CD%Xe8``3Z}_RAuE|m8O8H3} z{b*Cf_#IF3#Ko0(r(37Bma@r)ATv>bF7+!*Wx}Ds>`Ebl>sawI6NkG3ptU1>bUQfN z1~c}>0pA*XR9Q7O;zU=LS?E`02dK2G27a9f_iMhFO8`f{>CeDgRy2kOyq)g$KTh0B z`syZ=*-e(D)k#0iLThqAEwjl?0gVS-4WbaTxJuPrphW~St4r`vA$rSFo;9Po8M!9vP+`qb&dpYoL~waT#psFz;h=9ehjR4vXDzmBO|P^{G$cmE zw@!SO*51uuTqLToCq<e+z>QxgfXfYqC2kN6Dw`cRca3dsh4vP_@b0&;`KHhQWkW!;~9eP89xfE1s7VKufVFnd4G z;4R)FsoYeVj^hzU$}vQb6%F)Wi6eX{_h!D}YgP3%QI)nDSY3bg^^7T!v)*s`kGu}I zjC`D19{r2Sl5oFQth97UO!`&?kf6ufJ!#467wvTwN>as@D(2F34RI?JhiBI9KC*!> zUbJ9S3NKeGV>XtbMiwi9MznuB{(zA(M@%zEl#{H&O-0_MV%UYs<%d7G;T(6sK7qFw zrOS3rQPhxNttccKc{1=#q#Upli*o>>$d0GRNsfpRiy!b-AK){Pw6Ehr9;ujE%sxqp ztGn3_KYLD8f961cJ4xm%XEA6J;@Sl)0UpUaJ^F16#9NS?p*wS#O0m^=8o`>Fhajuo zuL$8;_Mw|0xh!F9>#IKsSk1#5MQ2Q2!vFJ@_V_S5ZEn&its;+X14Oumi;_a0SD0%S zx)PzaeoKcBqP29a$IheQv~$QR7|huhKf`(fdW(X(A@amvv6)8eQHJOY(#4ogFHut} z(ebFK%V1q6|iQ)(2shk&hj)4{W5&E;`nc|(P7Br zD?!43F3swz(=+)bwq}xYyvx$#;WkFzNu~@wifFEGEzkMeBik(S`t-*&aNWDoC6_L? zy?O1GobbMvJgJKG?I6pO6|NK#1!B+BW$}{6wU(-eG!&c}&?R=G2{UN`yI0o_>& z4i*BRgNP~Q6Czj55ik z98Se=rWBOxWa*N-qHn2@VKz=>a)Bl6B{I`*R+uOX}b~5=5=)gQkRLVgVR!mkO3Q{1E zW&X51{)_anKHZ>t@fVF=(PowdX-N1>Sx+S^qOYU<2#N=favsEu>oqkCBf<_%BA+=k!Jmjutg-vM(LU>9X= zno4?-cL_RTFJd5;es@jJTM0^Z{pw-@^htBj7wepB-yV$#BOCPEEl z0iRp$9D;@0nntTw0_w}Y>9D6L472tBLQ|9uS%xERcn>bHt_4c+G0%JgOtt+}WPi2O zeh5SqFhjg+dMqM)_>lt>W-(giL%9xJ|B;)-iYH!j>bhqQ7+jGvo;ao03ZngOFlk}Aym<9aXn=vEhwgsNmIdRhcU6rM6Sz$b;XViI zCryyDk|KY_J|OxN+-XkZC+*M{;)elsVDxAKQ2#F`bzB-}E8E~w>FX6z{mpnp?|rFQ z4b;bn(T7C4Y&-EHGEmgaHd*=FOf^BA+5t$Z=?zwU!G`s~LRp7L6{7pgHO>agD`$Av z?7D(R514-5WnX^ms?TnQaj_*TYQ{OHVH+LFm6c&;59yR^=V;;p?PT-NL8c;~PLDZ1IAbv`>KQjjU>>#=pvLw-{p9>)kj?rHiQq zI@~a0MPdu)2&7sf7M!?}fwInW4B)V;B_cH_9BwBw+#{^AFdc6Iej3Pgyih@6U9hWOUHhNYu)!)`j$KC6jxbKw(#vp329+@L-Wou+vgCzPJFY5lFMv8bRkZsx!6Htx=$OdHe=8?WwP806mNOmVb#+Suu^}(3x_SC^ ztJ0FK@|JkTH(22VI#X@8o>4!G7??LZ_tgnewahn51jYgBKR4)u0mdv&YS!DySoN%m zougvdF0Bk6WL0%YbJJ{GbS!agAG4To;do^JC0#Tm&R=Hy>2gB5uH<3aTn1{h9K*e+ zw!FeU$Vh6>hMZC8adU5jnhDkI^gl1T#rirci3GP|sj%}$u_jY9m0l1Aub8=hAz>1Z z(CIPHtEZHuoLSFboXcOh7*@iFmrle+R$vKLV0rwB@OS`;!)NE*CDPiVg_qNAG=qO( z#_I#|tl_5V48={SyYqI$8;;W8smInt5q?A>dS6_^bSvY*A_vcaa0|0giJT`CzeHmBx()-}l&1sPm`FmEa!W63~5jmSf>9EdK8vID5 zZ1-6~epw)_f9`v?HKjHN6EaR=$_u0OaXEaf8kN`&gcH4Af%UYyPvWVu1p>N~(SadF z9W!aNuX%2Upzn6?Bm$LIc#KDEW6I3rs`@3Xvlj77;3$*B6 zFLN9?wY=Rtm$>zb%>W1osu#Dj7zFi?`Kc{1KYqiG)B-U1^bH#!$OhA? zaOINRmw6kXM0K~5otni5om@<(XY7tsPgjz11IvSCgjvd*_tyIxFZB^iwe?uz(mi_( zAl;T?*m*@^v!u$97uic%=S{I7QACPXk30_vgHu18aGG|@!acm%C{x|xIq%2lG)7fw z7E+Y6Y%#SOmoFs^t5=^kv-q$9 z8XT{T6$2qoIaOeQLY?ZkN6`VCa}6$4=3My?2x{mY2zN`M6*T4mRHy%Oq)#^I|s#3gNZM}zYobkT#r3jsQ z4Um@r?!Qii0;tL0ua_>%esHBkIN_(J$lyBr(sjV&8gvwTT7$qhMv;*w%GmZ)RYrKT4KC}C84W}vVsG(*OtADZao}Bi2nEf8X+hyA0`Ixb z;ZNty3AH2uSLI&_^G-qkX}~w>qy3tl{_v7~TNNcwnvbgvC8QYVLRep6GDvF#BROTe z_#wW?ni@`f2tRM5^WQ+bl&x*AeMKA@KLIH5kkOh!wVZ=;nu{)5kKvc&~2 z$>8k4y*rSt^y=Ggr3uQN>Bq>-`Ef^a3hFQRyS<+(I*xATu4HI&Pj$3;FEQ;chuf&i ziD5gI<2Q-oie?m+G5L#abix0<$4Y-!MDw}aeg|aY;rH=fgo3%7P+|nb_(yhwgPSOV zkgmqaO`gM_btbn@pD757ms!^r8f+J9>8|1rQAV?*%i-;T!%N)KUxQ3rJlQ-AYwY9e z`-f77MK6M*3(DFM3VE`NkIN0Nq_Qe+Z&$;MRsx**`40Sc7dWicZa4dno&{>^MI1&u$xA~PmEr1zha4_3P>sjWP6V{|4uRkkJ##8o zw`*sr%I2^tQ3&CdJq-Hm9yPO%miISD{t%Hsa>C4W{Gt*cUR_~tB(Uq@q?o{3_oYhY zX9|LN$W492k@hqgo&&6G8AVn&ENt%sAZ-Gh;5;a^`SaU)($-zwg=GCKOV>Hv*y4Ml z<2{IySQlEuwFu$$Gmb3XGyFX=HjR=};DgwgZEuwM^$N=_7F)5tB(cS=wVcvmoQ^=y z&7VrCEo#)-&n_9q$k?(GcjVMjZsuba?OoBJxk;HktjxYXToO4KlR!ha-Cddy4n&L(D?M*opFFahxwexNV&zb%b^O{y))d* zgvpF56RnyRUL@u+nHY}~H&Qt}hko|s%75w3EUP=ob@5{0y8Ba6_<}^7i?3tweuKsp z1aL@+BP+5<5g4?vP9!fzBJ|M&h>9YnB5U@{4aZX#FeM-PvyPNm^Hw+fYB(rro`6&f zF2u3Ta^yXNnKEIW`szCqC4_Pa2+OGg7S{`mkhOW{G!5DblL6T@xLu6JsY~2oKdpO==}NwX6{PLD^nZT!++y~h@*Qf zI&XG>4Xm;Q{ML8QwIg(-g~sn(ehTwhbu5G%rjK01RjMu`ZiN7=DhpPP+hplBrDR!0 zUFs4!bjkCunC^S5R>|ta_6@F}2j!bybj>UdAS>+cNCA2YfM5^h7M-BoTnNLzxGik(K+bJVJ~a|cmC zaL&(dz(Wd3_S!|?HC4IvJfx&s@_uEypR-FI#M|A!TrVjOPXGGcHY;V6YDf5MY&G+OIR>bieG55z!_ zCuf^$%@eT~qch5FrUKb>{+w*NNn6Zja9?OFtRb(_kpvQKab>3-P~SA*0fYd6?%j>l2mn&)F6(|ct03JkvM=h9Ot z7#B0+a!jYv)&-3|eYKm}zp=E`n_^&%;CH2%M$-AIShA;%<8DZ5N1i73a6*hi$AkzR zdatt#R4OUl84Ku6sSK2eacwo0w=Xm^XnL@hAg*mRUF#}XfY4#f^=Cl(M*%d9GVD$& zRz6eP2hdIG{zRC;$4yD>GdMVKJgObwPLYB+YHQS_>9EFHt7_|b1E7JXB<%e2YWISr zEVHO9fXWs{j(7Z~LN(xiX)f;27m6_L)}qpsjtQO-P9vo+52-(2{Obw42)kH3PXbm? zHt;GNxn;{ON_P$KS1exYpWs+H;LIT0u zz*EL>fkNz)42|^8;hF5NPI*J-D;|x~{iHfMwp+S zw(bz`Tk*+!qxsxZsD*HcS1amx^qqaQ92o*cmFG78lcsnDWlS$@rZyRcc{5HJYyD?B zcsY1#!3HCbumrf%C;<{4r`i`FfP@3Q)JpywPg4RZeqI!R9_%NeHlzGr#imm*xs|la z&piC?O#Mve7?HEs1Yr99KFM9fNvTE1{?-bu?MLv6Z}9PhN{+3Fi&b`#b9Yki8!N4T zCG-nR2 z%)pCXcgL(#GQp6Qxzh2fpU+y;v>^C+acI5&SYYu2XWOP|mkVmc7&%O14 zZ;xui>PI^WF+E;XHX_zR70|17!!Z58c%f^)1Eu=t?QQR-M^{PzDvB*tFV8*CfFlU~ zb&^U(*vGKJ#*bS`ognhCcBw0uC<+X4yEtQ&`XW~|Eh6p?kPpA0rB4f+yOUWqkMEe64tF#Gd)@lcFmmXXCWeEl$|5Q6OO-Ye___^SgN|NX48cxG18BVty- z7aKO78|F)N$u(D$Ub&tPe|>%niAGCw>RLrYc)f2v+pn~7YukNWyx9s)otxV!!jJJx z2uw2Mk^6s5%!AK;F^BP5H%j9Bm8DLANCBtDDOB8MDa(*2uEYQkhTo_+Rbw%oA%+Oz z9-?55gf#P)y^sRN=2T4y@}FCbJ@i>+hSh0Ibsg!;+Rf?~=ff^E2phP!M{|dwMMOn@I68f$$;862375Lgn|XGRrTOBR<<#b%g$9WM5GTe$^n{&6dT*v zX%rSZf!+P_=A}xQJy>}2(^d(zVx}CCi#AXJ&%!T+^+C`+pDNuL<|B^+khW-mL`S$Q zpWF4&#&GIsgJ%FpUJ3WKff4ty-JrA0*0(pAfehDK0tk^KdQ z=(avo3lE!Ki_u51%W)sq59VbwCC@fhne$_~k6C5Qbft+;K-2#>T8oi^;s3?f`adu& zCIV&-4(9(STZ@^KnThlNo2_N+V7IeKhqL8&OG4fHKX9#VYPUwC|IV$}CL{m3-LLDn zWzVbXk8;hUOY7&F+bT}U$l>c79Tgs28B9ye3ygMvNh2z%7?_+I05C2y3?(H)a%Ew3 zX>V>sVRU7>fX+%tfsJLr{&5fkBLjmFLQse;ZVxWaEbVpxiWtg2Tabzkj4X{!EiS<2 zYuoD`npj!@9y>cbAiLQ*7r8ngmp>B9>?|N18kzqgYn1^QdV|2=_Tf!tXu&}i_vz3BmY;XhG{1yYm+}z0g2e6vRyxjx1-j>PL`2{pPHL-_I zKvhLVNlsS=jDT9Ih5&}SkpW;r`YYM$;BfvywzaxGe5}8;0HFIL-oW^cH+kk?{PXzV zXsrPTCLkG_SX}_IvePs-hUdRS*~Qsuy#81GrpW3cf89R-r(baVfJ1yZNs@chk1 z{-r$rhhH}xIXPxgsr)O4{JlYIVQyt_Xl4ed==vTiFHD~J!}z^XV`%=C2me8z^5=%? zfA@FQ6hf`C`NMA? zt&@{0bEEqs`^ne(t^VuEl#%6?i8WkRzmDw?u2Iq!n)(reKBMZdJTrq)sZ_@ZR4@0o zYe}RHr;&M%uXFsZ+CT0XI+z2)dbriSk@~eIV~b%9<<88BB7<7f9r!OntYmnr-tbeO z_OFIt>jG3BYGq9W?uu=9m)!f0s#TC>G%?*#k?2HoB8p}n!$xs+4lceKsjuzRj9k7< zDn2p)8OF?8P$!nv^seh*Jp9+$2Zxk~-VN?99aU?usDO9wfKryK?{7<5Q(MU}w@w?4aC3e~s$XhJ9G4;|djR7J~Vc`$m>y}yH*y=IoKB0&i|Xu2eF zn^X(13}>@M!ajeCA}97vgW`2vQ!7h_SeNsGd!Cr!=P=D95f8XZHygwcX!x+|GWtW1 z70}eQk@>O@-|?RDkJMRA`MRKufV$6Mk!ouoG)fZ~gYu`8{syaYxRi&-)l({D%yVQx zV#SyVV2@Up*0o7v2syi^nZMqMB2wEyHuRpZ?IA$Crviklm)uhU*Xa@FS43g%FqgUP z==itm%Tx*>3%|zR^j2wMIBS54+T?gw<3gkor=tiV#2PLJ`A7$S>-S`Jr;06iV!JwR z$}gF_yv2#KMioTV8!?zR9#e^o{|EM#z8&;YV!=888UnK}zz^+*!TzQR=idUf-lGb? zn^^+%Y6pjZ(YZ~xsvn|9IZ1(f*Q=oWth-Q^#`&jHrciPDT$jMMq$XvR%iCMp4Z{Jt z**?fr&R&G~F#5wIw5u8gyVbT9w{|dQroVY3>g$6=n?`M&E-4Q=7)=zcWmB({Ic7AC zm0V7g@^3G(ASz`~ZU3z}(#Jr(3-&v>+YqQVypc9IHtTRqu|h5~i{D60E9zNU8J%B@ z$Ju+X$izX`#b<-5o82rR2ZqE7`q?odDs~O?zs9gDB9M~(ey7*j`?Mnj#TBvajD5XaD|(3+HdvtzgF^PgksIH5 zkq_(sdk$48!+`kHbq}Lcw31Q7u*~I% zd4d2PEm(!IdjK;84>S(&qVS72*qsV1=3a{0m`QamR)v;tiFP|_oUzTzA_))f9)&v( zAy1;@l;YVaIhG)Gj3iu)ubCZ>`OF&w$B^U8LPE8deaCg_@*B$MepwTWN6z3)p)CB??ObvCpIvtYPIH9SGmA073K_ zBGV%foI|D_QI>a)G|hJWHI^uRJ1h!Aj*R5lClrQXY|5&2KB12By@MzvGFtw_1XKUM zq@U@~8qj5IHt${ylBR0%T*Q2eZjs{3`lXxX3Rbt2dt#*3Wc1*#K;mWbP0`~l10%Wo zdsLowsW(beyvoyoD!$xl6^HcU7suIke3Z#g0D(!Q8lV*}bGl z6Cy?GMgeyTP?&R-cUNyqS zPP#nV(Hj69TVfFFH3^~;R}ri#*@m;3uYQd{myy^mZg;D#OB*>^d8ZOoiJyS!`!|%5 zK7=l>y0W{w#PRZeQeC=OySHrHRuA)uZpZuNQNaJ zqukO$6CAsof-5SI{F%emadXB1FzFJsy&#s1UfBS%jPVE>>_{>6<_*u!1=E z_NHR&Zf$n8J;b@YxMDqZyQs@ON9KFj|tlaC6>FzJz+@c4Ns9#IDm9XrZiNlzuK)M~cX% z<{TK%eN)BBxfJAqdI@GvC>_5{vMA{Rl-9G%v{n3F1iA5aHC4erj<+JDO=@2<**}m` z=JUaR4Ad;btM=NbuUYC0Lq?8n&KPTVauyit3iJL=%KfK6AZlFo8yuz^E4cfNDv^VC zIA${B4sxSsM*p#bk%6rpz+M(V-Y4xRkJa6@H6|N{pU{h76IAhEbk8zbjhNmXu+*8^ zMs$Egfz};}S#r&GJ0%%G)~=Vb)g%L{S`c3`V=uRs&XX;a+i>^405w3$znknE9B27% zhVA=Iy+QDo`8S0spFiT(UFOwy?q_PDlI$sOP^L7jX)(y3NkvP^3vXFpx*7#k}Fnca%J6qrC#8(QdqTbA(UB5HE68ExBKPO(N-nkv|8E_#$~q zYFaLvPrFSu9;Zded+?&HpF77ZUc#t=cXA_xl05CU!BV9c@@$*RNB68xB+8_@qKYbx zDi~P5497V{28H@n@j6og-s>TUb*wD(UC1n7xJ_5WFozYHIa4tvVs$2PQdu6fVql!a zNwBJ*0+iQL5A!3%0||jh0;!y750hXQRPIT@dV?#b@xA^2{8S5zBYtqH35l4dF{EIZ zT}L?vc+VW{nqo=4P-5k>ue=G*j&OK>101he)cY3huq9HK^=9O{G`2`sleRV8;PmgG zQ)FYccPakQ_uSr;3eeAhWgR>O*?QpR+2^UvU#lL+&Kzf@fvJxJM>k@@Tz_x%a3Z_s zOC!9I;rgUov_1UccCFcK1g03zeO}(2DdK=>k(UwgtdS3!`iJO;{`7Pd{c%xKx_XDV zL=`D5vkn${OBOw(e;+-gX{*@^i#e)s?AJN7I%$LaE)Ykt4~GUpcyO?xeKBTTM+Ys`7KNLYb>AmEY;n|Z8*xGqRn#*jsHfN7 zn6!WDhGqK{or6Ip5Aq_|p`wlPX)wccw^#5gDfr81_E(x9_waG%4ozCm{j9GNy!S56 zr1~1(_sWyI9V>9To#eB|g;s~o)%T_ToIPIdJLW^T0b}vHE$K*P+ucs5Jc?=5=OsOy z_%(v0!z)L5VtmxYrV}ns`@mxaJ$ndw2r?3RSyI9oAYlmy4=KawjS57ye~|&YHCe%ST7De<<=no#bgI=5x&xuv!V~Q6D)KH9TqZhqk<(oTJEA~ z=RQ6X`OOle@R;Z+ieJ{J9Xm_NJ~LEuf1KJ6orhKC;ct(n>kj3TD)N+|%`&EtSBV;N zgrW6rW$2jIDaGq5SOchw<{t^BO#d?Uz~xm#^BL|Z46XIVnuge(ZmZo)XZoF^$f~j} zVqfss<)<&{5rOE5?rI^u5ftdiV)1= zgy89@L%J#i`1yURnS_nFt=80^vot)kV##^zqVB z%kQOamo|}UzJ`kOwhs-~jw16nHZ!-OOkB~_zgrYSIY0So057lF;GwSIN!3umsBt8Q zB=E0mT*hjD$vdA2)lRHsOrNSiA(6T*Xm15ipa$_QN^6oC%F{Z;sY}xJVjPfhjCIK;JHsM8)|0Fm;mROw9>kpV z)8MI@(w`%V-JGjeN!&Bpe?xlCaR81!#L~HgZepSyFRijawhRh(*MhgCr#;z^BhK!| zLHgW8_wLzayu1tjB6%uSN4Cwi>`%3?|2EenIECnT-guHG;`}JD;SU~t?f7zFzwg85 zlb-?kf;ZwG364PTMOch@UEQbQFx8s~8sXoirR3bs@yUnJ8Yfe|g^m~Pwe!kYPg~;k z=5_#hy$)1~0vDI&fEjOvE1}%~(z0sGbawr+=J5b0HrGVm`aj?u}iu4 zVCKZ6t3*%O$$tI(NS_jr*Dftye;pd9B9R`0@ZQ1u8882pfS4DxbkX(3d_#DN+V39N;@0XQm zBxs~UI(s4=!V^M!uHnuqG}2b3HG>pmPXvW<;;})<%#TZ^Q_D>JDhy$|Y%SWSYj- zmkXml2|LU!`t2?IG8lC}$K5+bDgt|z^owch&@cOwVb04U4Gb%(emEp=IU@q7aC&Y#qW9! zv!snOPCb_lJWg3{GJ))v3_68%DE(rh7>Bg`$nA}s2r~V(IXv6Kr{9Nd_Jhr7@?rMk ztit$17%2Hz4b%syHIq<^Wq*VD*nj1dEWh6V)Y^R`7k6HxVi*b4@t$JW^2mld_;=z5lki))G-*d;aj;_!Zvd+M+7irOc_SbSjq;ZEpF{Lh%~ z`faZi!(59n^r`kPN&e+2QP{~Q%t3hc||wTGhx1y6TneKLIC zC*EDd`4|gh_-hD++s1Tj1+KM$MP}5n)*6bKHX~PQTPR=&qQ$Y_SQI2O@TNUJ>6oW`*8xN&SgHGg|daADnDt&ETW$B|LR z50Q=+f%cn;u9&=f1+4MZj(B#oCEgZ{kd(}}_E0P3oe6z|Pou4Qe%uhSg)b%fg}&Mx zpAWR$&QI=YX}xG;dyIZNnb!ENk5%4Awc&p}3H}NTlrh_roDr8E*0&CvA)46IuYQ3d z`4pke4FB?H*y9$_66f3{b~Ty3JRBpI(FNM-XSv}-4SX_ZV&g-Y{Y_BG(PDPB+Fgq6 zLE|$$I^rg2n(O2*@SPdbf~Z+$qxB*IsW7TvW^Az*XjB8!6F8dgVS7b5KjO>i+7Ww> z<1>f*%lIJqu7s92%gA77mR{eX$e!=klwdv!NYr-~>zdDWWTl~N^4)8LU7EV-JSkyi z{+5v&gDTdJ;}yV5dwr?sY+nq3F;2RoUwJ5Na2gIR)c3ayvqDq)Q44Kx4M}-@CsK@i z^dU|jyZ1c*>vTQAV#uAqrp1+LX-juq+hy=%1R2? znqOuUqQR8$h1D49^=9)tgMUffUB?F*n`e3Q@2{!SDS-ZY%6=oiNA2fSQ^Kx0M!b2U zM@FqWjbvILE(MfByLOGn#$4anCD!?b&wW(s`3R@dcWvCCE^9q5+Q% z4r<&14Hl(p03|&~CEa6E;RI-geJ2g=?e-|~_pH%)%JFFgDDq;|PgSe=Ogtqt-}#0Z z7lY%M4`Z7d=wccS+9i{}j-sQ(Fv)>>k1?r}bAvc$l2mRX!~u&U-Ay?6_PA>==+|wN zE*j~dr9Z4Kh2>%+j4544aBJ^P!@zO6G24(MOZk)Fc4jsEm)huBNG5Q;M}86TTr2>H zg$1BxTen&3R8ZDttvE%Lz3}cgVY_W0VYTq0`pUUEz4xY>b}N z^DyOaekk)`pO=qvj6?}RUe%((l>=9$&O%F^jkXv6>_SgdVrV80_4`+o441%uHL06E`iSL>Ew9 zB+n<|i41-OIfA8m_2LeRaI-PgJO(}|fx(PpX=#TE^F-cPx^guilTZavk_Vfz8)O2a#ezV z!No4ypCek3xgyXLBXUFYVFqYZfRcM(bwXcnCz=I)voq5;Mq#pX@)mJEZ_K>GQ6yvI z$KAX?nuRCg32Vn9kBa%lofJ)c8G8q9U78k4UMM0zTUpYmYlJq+df017o}Kx)n(;Tt zDZ`P;VZw-YZ4Z=&Nf-RB9(5L6I&e6>ES^QCG2_zqA%pNICT=y=wc-ZcE-C6kKoZu+ z+y_ux6<$!pLRh(w*l-h;@~8Y<(1|ac`X~NqKeLti)(a=6Kuj>%o9@ihOOFJI9IQp4 zSq(>v*zS@y9%3|6%GJKIJNX~2`!Y0!dUW}_ccPMr336M@h2fgSe>_VlGN>?9zTS4f zRM)YxCTAVZ%V+FZSgkD@w!l@+X@cMfm$x1~e1Hp5*d7AvG8a{m>yYMx}V?YF5RF$X$y33?<^K4c87yP&`d% z#89>buBn5+)q{GMCO{mV=_GLw$-O#!gn2js7uYE3S>J15q$jG(kqSQh3qA1eI54Q5 zH|b1-#8erQfE>SSYKrt57GO*^dZNN`22mZ5$^jAU;SmvSqLfOd8M z)$gu8xTyL# z(6Y%3r`+LMd%FVF}zw0MeUlL3~mHI4Mm$n5p{!0K1^3(ZiUl=mtD2XFNk!F->! zsfrI=i4uz7K!OeaqOTBSTGCEtK!=FoglLR&+8>DxoFh6l+5pzfcsZ(ueQshe442>W z9y)C7Xb=*Xb`GOBBpEToyiyl_nl@J{#04N3?``;vr^-J3vEw zZ?nTvI}Pss+^}9X8xW1ApwyKGlti<8k}k=GiWWw(md+&e!)$7A@F3d;N}PF(1Fas}#`gAJAiddxW6mL+6txK}>q{*yS0=W1uID9B&$lfV zt}S++vD%UMt1*vTu8m8i=>7<@_z$%hL^%*Oc1g-2z5GFNM0moG25bwf;Uh?x#OD3y*Trs9ixWaZz?JL;CY0Dw0;JTWdi=goQyS#zu_d;cEaS+sA z;^bDt5e?YkZI<~%EFn=Nt&>?H7c7kvVeE!NdQ*R5$6g^}Ak{Ce zkkK->;wUItnOz%>A}SKFpS19oGl6a8ZMK-A-8GVUq(FD_ck;T!7X*1$Q>H<`qcw%n z4#)}ryDKW1XtEXX?^}e<(kGG2bGdm5$Qz$pCu|uuY&vz%-OExjMo3j}?vd!S1Tr~> zD96^tO|Kt<6D9uedwb$K1|G&#VxDxh!0*`_^2Z!|7^SM)t}3T30G`70?w^OBs*4?F zd+g*_)NGk)=^n)MOjB}B#)p|J>Zs$k<_)&y-3Cdm=ZShooC-RXJ){DB7_od~;{a@q z&x76cgk!b7zeQFeBs{wq<*Z<71Rz+ts8X*{JM7l%G_oa#Ba4#!T>*YpER)4;QpR98!0^GV5I5 zfxtZTGJX>(=Xy<|l7U}{kQ|A@^~L_+yKX)eICuD8kv&Hm!_+P9u|LVMJAuOB0#Khi zucEni(s1&kpa>ToGnDDNIu>sk@?cHmud3_15sKpj&1a7{eDJ{}X3^+eV9>hDLZ^Nj zsL!nL7R_UHUj01Yg(f;Ijl&|2p>ywMYG_+u`%96kep~VkZ*cD{6@m=RGkyWc9v|Xq zaT~3zIzj_CQ_pOp@VADzK(ESUHc}q$jAMC)i_i?euh<|jWPwfKRRRobTmnq~2fFa4_B z(qNg}rjSUqX9(p#{9|Ynl7$djo<`Z62rr@bZ>p{o&gw?CwB@mL;*H02mYF*JTZsYt zydx2V@qHDK5O4a;OHG3iPQsii>MvhG#w$dvRd|@Z?*boB}Tq*E9-Zl@B!Uag>ws$3% zo15Yy6CZpJB;tBhg%zs49=JQOD13jR#%&IIfa-GKX$a0Wn=(7^3N2s%zn{4ghCwC8 zX@p8E0xvz&KRujY^!Cx$xDy|T1zp0gFo#fV?131I++?Rr;ck@RQS&ilI zcW-nIzpt2=#q&MQG-QVva1+k1wK>kD`m6(uQL!?i_t*6<$#Et2dve*mPjdM@$iY{M zk({+>ik)>IFiJww$W7dhzRnHJ8xmQH1*Tws8yJYY=ISrq5lbw2KXgw(+{$X3XR+NC z^VO7Q@3-#tN$hDi343gzez{AOuYGEmTC;<4KXqrrs}b*b;jj4tv}X)`i}d#e z!I-@{u%0~{#HgNs-7Bw7JMwecn@#uf1U@8KL1Nfo?ehC!|Yg{>bVrXhPw87V_r zmM>H-N0yeq=lsd}AbrBP^;}@fVXjv4R8B=|{stEe&uWu|J*3BDiQ+L7dSR(W*h6-CoDF~d`4Xyocq zZoxLub*Ko&n@Bam%0B(f%mR20yz!Go0f@^bB~qT2?fWyar;xxN4|#WU;O}|%Dr7Bg zIHd`0cJt}a*w=|If|=<_5Q$h6{Y!e+YzQ}F5-pl;z<>1ESDG5DgPxHl1|N0R&Ux(TN2;9u0kYqt&H32A=Gy^U*R?uW|VxQjNvoR`jGaw6*ys;<4!C?+P9S&Z;kxi+=+Zb-!ck4H5?kDS4^E8h@}L8AG>Ny1E@ooF=Y=Ax5LDQ~5h21umgPl5v{s`j=bYRQ0y)k6^SkT^tizrNWg8CqpOo;`}lkI zE~w=Fuo+!As*Tln%`K3`8KZiL8QwM*Azi)Jz{_XFD}n*hA*zL~9q*nv zYlu@&G7_G+(fWn6mR$B0|7?B4c(Wos&7h6H*sD$*26&ppuNQM&zs zVOI;NN+#R2mWa(ks5;D-;DIbQu(@pTtX&Nr*PCVG#Kl6!ZL0naRtwA5;CwZR)92s; zA|p-cCeCCKU~01zIEWnF*)GR+E_dNq4@%pW-}c**B54Kq#S->5ek2hoX)1Qo!HK3V zK0*u0m3ExIHMot=T@Sd9nAamIs|DBrA+v8&;)4eyB9h`P0gW@B8JC&2v&X9=Sl-B) zp^g!Y`{SRLL1KpgtkmS+dhK%PvdhtCa+az#sDEg!(IvR11TX}&p=2mCAdqs;faoG5 zf8gGyGgo=gi*X6`e4jgvNiJB`KPj(=AxTHfA9flfPjftnT{Yqtuvo`VY!>Vjp{luM zmmpqQxo1Jy6cVmtE<_xOsbQ;1Jn&F6Hs|eqKlXIo__P`e0h2O@qqCZB>r;yvK1fuG+G{Bu>(O}NA z-UPV?%!*i5toGugBAOOoxmJfu4o5A=M@>xG<%g)7Ul20oM(J9ia?&Y#dot%9+#p9& z^l{ZPWe&xU4wU85QP^;9l=VjDWhOzjrNuKatI{y+XMutz`JLmwYt4XW zFVf*kvR6lUVVz<|r}HvtBhUesNFmLzVQYlmLwmhj7U$FS@`F!F^95CyciwrIW7vX{ z%k>j_op5nTyJSwY5-OW*#X`}6Bg*>SN0zFwX>Kk_Ol!ToQ3WwJ?aaDp!vJ;G6gs^vy?oQ`fY@S&MLY_41*#y3QyG7@+T z+lG_A3V57*lm+D{$QP>>kN_8)zR(eyn_t*Z_9nSn+`bfMXfR_(gC>F=Ye-JXSm<;* zEF8>ucXj&oO)Bm7CZ`_Coo2E5=DBpYW6yPIZ1XA>O7dl6=<`jXtD+G?Z~#ee4XNQ^ zLhAocwNKk`5dzXi+Wor$`bUkqhxj9%|nBysPlW?|5w%7{SG@BVk^suzY5=7qNq&m!bG~{AXxYE=r*0 z`&&Ip+bxeT$uCMn))~JCxVoZ0b|F^e^IQ%57G7+2f)t$j`y;RQWxZ={K?2C%czcbb zWf|{JkGZ{u_&vbpTsR!x?FxpBiGy=`7mG;41vo>0gmII=`R3cst;aNX+Nb1o;IJPnlIn=`6Rm3wu$Cr6m?o(sDuU% z^^ahTbhS}JG<+JkmPhvZ%JQdnWdna9*hGrKCM_~EJ|wALXQx<^l*VbMSFft2YWIin zn;CW=8YSabT_W2DOaD9mg0^+GQn!hhi@#5{v*hNbY<2K4@x-su8PjSpZDx)KY7Kmw z(RVue2J#h+)?~`{SemkXJ_zSPF&(V)Jt>u^tIz;A=9pF>yiq?Xuv|wc$v@bgDCCY4 zGzP0I=^OdQWddyzNI(-_Imz)uezqbv%dZ#^EoH$|R?Z zD8nyZ$!jFLE(N&|27b+wx*_VSNHuY(C5S2}@}(_iA>I%&@=J`5NrR~(g`_!*`<&Vz zwB6(tyU|+K7<4_%w$i9vbb65RDvEMRBah+wG^ATa@I@I{t%5~Ifx{p64T3H?YiaL= z)y^AdcbA11imkn7L7%IaQFiq}U#EXYLHfrJ^S6EM127rS#)RR#-zY<{stwFxVPZq< znLk2=rvXFu-ms)=m@0bQC>}=2?`QidOaIcUeD3LPluEP*<}xYz>nu=Ge3-UL3|F*d zM0)9zwse%PrS<1!-YJZU=ju%PnmW1K?!h8VQ4AL1^ATveL}!PT`5qgW=_80J1Jw~X z86z}(#!9_F8=KzjTF;xtwNafgF>ZSG1ID*`>o5V#=>PGk92n#;fkAxv`_Wr>dYMLG(MbPqkC$ zw({DpXBJ(ngSWw((%IB4Q7)tJqeh^4+pPsiWy*2hTj{~EOR$_3i85($^vcE&G!D1= zw0LLD_aS45FldW0FSj(T@XuLoTjuTkE%ii%nozuQbtCWD=g-qNfxb-nYVrglkN12t z8fs98jpAo3{U=!}ldZJpObsG`rgTg=nAM*><>Z54(NV{KD$_2(g@N@UCRBsxXIi(i ztg*jY^k?G;SVexjzfo^KDwu+WFkt(yk=6xN-%YtaS_$;G9Qprue0#VjOMj`$9Oo<# z-cUJSSjebTOdfqC<5RCRQd_Z;m(?JR^eb^!!Up-8;&~rc@x_=$R^jEp3AVCpV5lX# z#sTx?3u4C=nt~yJi9^&%CeB|tnz^z$c(-q`aDKiy5B;T&`5Oa{1`+wQSmNbg}94JkT7&q6PZ7`fX`opRJIzRYbW6PsH7%aTkf+`1M|qzAdx-xsJlE&JISe6c_k ztuU^VUc*P4jFeLSq8t+E)w%b5-l>5Y(?Xap3J%RQ`qbUAc)l7JUc$%QTMT-@+ps^A za?mEpR5L+pSIGW8$xWxvwAA8kX~pG!=cnC0s=>Q0dTuSGgkWe)LsOAI;P;xI)a8}T6@Ymt8PPKpI zR#2izWPkn=*}?2aqCNX0HSTfcEVYCY% zUs`zJ^Cg)DR-88rg?R&vVN@`JL_rI;2W46BB!a(3aU2O*^*w{xD)AAYZh3H^z*jqw z0Kr3H%&Av~` zZ)ZXv%62~CgK^bT9X^15A8E*G=Fc9d%ay0O>d|BHXYP^d;k;KZBC@_fEzZtErk+-~kUt7(YqM4VGZdB|N)2&rjzuI0DG*V8ArNGEUvIf2~wfK{v|H zUOLGArS22xFU8`H4EYPc3U6>U10?l%KD0X@p$il>5{+6Czd=neB%OzxzfjnkfftTL z)_F2;v%n&gBLd@3A~dF%sAhL`6naZa`&jUK=MGJ8AEU|3ui^zfMfZu@g$QBs)Ua+8 zg|%-~3~|OOwGOZ3 z>JD?E-vbgb*Kjqm=3)Gn4qX{oHCMI5!={=1+`K-<+rqgJIcUc4ttFueWv#h721kE< zUV&Im#TqWNuoI8_)wAj|F#iTJbs&4Xm-QRg9~E>a>6L6(i2Y6kYWo{TuxO)N&ce#d zY_W!l<9p^`=Y87ZJw9aEi9m0g9Q@%G%gWaB*Z=~%+A7;ZHCA>Qj}jJs5ByEmhXK0gGIV1A=D$R@=8jsmXE5+${Znne_AE}*2%MQ`4;!W7nX}@$+?!jJb#}0v{ zhmKDG$-BXQ2aixYIE4d4d%R@L__+toiPk+%vOFmEy6IYBVE1d~l@kWCTm&u6xB1(; zvUpu>a%8wzFoqi4BO*X)6z@IvztQ;XQG;Zbu(=I=jkSIRsB@{;E0g#j~MjX zMlb#8+y|~R0^4^RqAQg^y9o()4@klB8$Z6fV#-ot2Zl)Tub{mo>?sM!;6R)MlJUG1 zl|SmjQ6S)Hg}_5KH&3nYWfjm`!ZFf?UO9T(Bw9V5zy89Q?Rxae#@+YZO}J z=F#M!@C_vFK}Z-pWH-t<)wM4X)s>&pjX9XdT;9Zo68-v%YV?I|KaQJ7*w$+tb|7hf zL13NTcUH|Kw+AZhdR8&%1Hr`}Mjq+(fLhiPZ-^jCagC_)XF(PEqbE;F@mlm;tfHMB-dL#J-q9zRGjM7BEbB1FAPIoaCpgAK5E8Z%H{l$ zfU`vJCx$m{eG2A+ga13$Se0n5&0cqf(aSav&uqlAd>RPwv-ojz6<3P2?*0aYP`TzM z%3+^9oW|+F+h)SRS3UHEQ)S%%kq}Z# zbo9lJ(3sf+9pZvjkj&eaqqEyzcM&wd1YQc>b&qvaj5j4xc%WfPVjsXQ*W5pS1npx zatOt)pl~f>IUl(VUn+vWVLBexD~~RWjT4j0xOC8fJd`dx?f7>#LekSyZZZCEfAiLM zF|&A^dQ~uDk#$Q@K_$ka`UO;T>zz%EAg-THu1zc~a>?ktKKab&y!1Dap8>Gvb>#NX z;`DheRbHr|TC0>HD7}5z_Pu4i6^Q2BKTZp+xl`9<9ZOEg9+_W$m6a!7iP6Iv3v^34;`B!fh-c}!qC5A9RdgKoXygZ}FCPSI>m96HD z>Z4qh!Z3#@q#WrFd13Gdr|FGuxr!I8@dbcrb7e;JV@- zv8Pel`+Gc`&wD`|oXNVLGRAWq75%S2DR3iVACCM-$d+E?R^$ZxY!Ae0)`5e5MwAw3 z1_Of_?oVT2WQHWNKF5&AQ26d?pb$;!S;PbNWYY*jkyTj}4!05Ue25sq^w3gZhOV8b zjD?Ut6eKhP=4yHc6=e+hp>SjEpi`DG5S6Q# zTDzJto9uKq=&E3jJGm|gB^ua|^j`by6<`q8uig+0oN=Qkskpxre^>4zwiI{GufF>Z zmEQ5c&C_PHqdFrmuy__~;ES6-5*QQ^fW4o6P6DNf{)5fy%kdC)a zs#}2j*uK+%!><7&)PNKb{(}lFo*Bf-fj!&J)89>U8 zC2laGoY5g|O1R~&1Wv`?3WLw`om%a~UOcY4i=XneFiy#G$b}9@6LW|*b}R){KTE?G zQ56I7No+BvnZ9iiM)~lOG6Ud?K^@-F3IkX_j|-`+owbXzxfH{lm<(n34GeLbfvp|* z3=p?4iLnB7MK8qCodPA;-6!KDYlIJn7_oCaMKi0L)Fo zVIIwmnX6frNtrQ0*iJ=L*_MT%Lx^FTAJ#lVS-EdvJ%PgrD@ zY0?%@R6He$$-ybqc6k|%>S;oD0m2nZ!!+9e8}^V=l9D97IcMNQ+{6 zFy$zxzZpRLZ+&9s>Or#nvPOKa73?5XeYGt(F_*+ zT18TQej%{(zrv2F&d$%%bdI1gRe@xkr3Z=~o;9X$HBQ0LN@J-jSGzE6voDxL>Knp@_8jP#QDUgUhqU`1wiWM#l`l7{LFrP{s~MiWF<(O+*4BY zxpZ{&9y(wW(}X$^BIWN{nx%$cfI?YDw?)|z!)(z|be@Hj_Mx!{cS#lq_C=Veu}Y;# z*{flDJ}uXnZjT|y=;S&>Gh&@&+2!Yhl3fI3)HcuGd|jJA5C4B$oKur90Jdw}wr$(C z`)k{_ZQHhO+qP}nw(ps`Pc#2vXIHASl4Kp2V)|4fu&{qkTzk9`gjb7kZh#S0TYoq> z)SN4)z|lTN4wbu(&QTpR-n(c$j%QV6jUvW`3RvbvkC!$aF>t%bC$$e@$8FhMJZkk} zOS!AL<0aQA4~&2X*!B$J>RCRM>JLg$B{$Jv3FHE@t9h*QvHWLV9J7*poXEQ^QsQ?0 z^s=?M>%3`Q`56k-n`oHLSXsGj4-UFa1%?kQNg{N>Pe1ZZ>+D?dAy~2kE_0kAmwsky z8{P}(y*u3#L>5K#`;d$C$&l-F3XV``onlCxb2|1rRHQGQUQv}Q01y$-7y>lLBVh>l zcc0>w8gyD8Z7VL6rHfFkfhjOjd^Pew6W&K0&!nJ32W1}`x73P@d%RAP7Mr`?rUBJH zo?NQN(eXXp>Y6}V_Rsejg$rwME?q!Ev=#r&f#B!&kU=IdVcxIcrne8cR;|zm) zr%F#k7XtY<@}5754mA86^Hd)#aiveYBJJo0=>O?TXoV#jqrJ>TDQCv`E6eo9f?cXc zJNp25jKCMup;Aioaq?O##Mw|b_cRj$`5U}!5d9=hU`3r8#{C|G31Il8_%L%6 zA3a)QqRuki)qVDf63MGrF>U+S=jCdfjvG0yX7QRfnvMYg)QUAJ8dA9yw`#NVr^q=~ z)aVgo4UtWS1k|)%EQyzQeg)}7-d4gj#gSCdgCtwB@+##+j0Nl>Jxe) ztX?{Q)>2hSLchglmJL8+4|AX08>2$Oe$h%AMaiH_@WATB(O5TUOSZ>2-;Tsq&0gzN z07_Vv^><^qRAR^@#YLGEqi+?;vY)6~sC7B?1(hJYp95SfY*O4q$#HOz=R*LZ#v0m{ zf;EvL0lcI`o^!hK>4QKS+nF6`8qfeoL2b~A+BZY`^Y1UalxqwIcWV3#l{alEx_hcG zaZt-2MA)vj$&*QK^1i(;HPP?5CAY;zcE1mG5G|4lL&|}e3hLs=!;2V4!WsxkIuj39 z-1&&QFeH;W-?s34ouyeTb5Onh{`lBi5k5>nl-(lbA6=N7AFk`ZKx6V5-wpJs%s2#7 z`J_0A=VpoR{Me3V&a?F-0^DmRKqN0F`sLk?l#(KH@(6Ei^(R-DkisbOgOlO2Z2O?B z@ky*?7ZX%U0wHCd38-9q@EFYto(<{LgSxhF$_kI#3?or#W|RsCUa84OhW08d;ofBr zRCBK6_T5-l)y?)C$MdTSQj~H6^$DD|s`7{RdZznOE_62bU^s;d@Dzh8dnKslia3Z9 z=ddZ6igT`ipEf3)@YRbtkEEl?C)l7RFI{r!MgjTm4|-v7f$l@5J%i1l<-fWAd)2+c zcM$k@4x^s!aT5eVf=JQFctOLb(-L;`N2`!I&Oar|y@5Pk3w4SBDrgDh`Rx*ScwC-- zQg{Sm^c;ItLrb^IEjw%Y@NXA8cCV4M&!q0Y7x($Vd*H)~e|!idi9R*QhU*L&J<4}z z;$d?<<}@Cj1Z3(SS_xteMyaoi~${i!9DhH z{=vSb(IXB{FpAaVqv^YLxbVawmHDtQbh~R7{mXjBZ7yr$OwzE;GTyX!ZE{ul=X~py zt#OCdKNtXNJ3U5@3wGBuM|txhpJ|WN#+io9_91*mIGwNDe}*G#f(}kygdgP@n>5`? zWY6Fvx?p3?t7C^QNFCU7kL)tf&3iS*#;|zP3P!5Qdk|PS*T1+g0wJ`iN0m0qj#Ih2Q{n2AT zM_U%Y=nRGU#1r=J1%Lz77% zYdA+93Oi(6Sex!-pSzJ*%Yt6`>F-2kT06|b+ZB!U)2E+=soXQ;KQ;LZd=-Fo=mLos zg1fV?v%?QDI%yYo?@1Pi!4vX@Oj$t=ljF0&2O>X|Je3ht9UKnb*HJ1H`kRBx@#^Fx zm6l@8GX|yk$>yLtKBi6jX;F~ycuq)C`~j&$g&6rc?AH9?I;oY_rQ>L0;<{KY%#8Pe z_kXzAn0C3;IR~#_HUec;%?HQbb9OpcJkfH4woV}^`IPh4A=fpWO$=$L1N#9VVidV} zRYS8b5^%a-He9Tr$5$_~2000tQ?>)?3g*VP$__S!hF`i8GgeiPQ)njm?dkB3l}`@v z^rhR0$>3o2F51~@(`hppaY;=5{Rrs>;L4xDo%=>QVY+ zY5577E7q%SAVQJkxzjf~e1G)MJ>F@cfd8^YZpvzhMQd!w@)Hu`A4BJ7l_^|`VLQp^ z1+HBcv$)x5{Brz{pkfVy=9mG+UdSf{kAiD<*|WZSg3F-uT18X^nn{g~l}trm51}*g zLRb-;N$>&gWtp8zE1U>r3Fc@=npcO`&w(23R5aA2sCO5&u=fDcS7GSTmt6iOiWZF_ zH0tIR45kFuCHAnh$xLjRZG8)*Nxhf#6OO3K+|%j>3fr_PzF;kCM0-idJH0A&4wjO3 zN-iV@y2)aLQ+2=pVWy2Lib0eGset;xpg2oJGZM|*7PTWo>SGc8^3-}OGWJq_Ho(0OpeOUrBXn7ya9ncUzYerx+Ii9= zR&GlTIsrezcBQ;wJ)>>O>R9zNxHfonsco4sT^(zCPx*rzt`i3L1J#?tuRCz4%&j>u zJJ;N2{*vq9dt+G3oweKe!WO)RhZr0i7*hCO{X-$6%-6CJMy(~E)>Jo`I5ury&aqEU)u zp*MYJ+eJ2Dn6sK5~R=Tq;EiK6Ohh`Xdp9UWJMgj9A=+ZfTu!GYGq= zBoP8(ioY5o$K)8O&TV8IFrPs zK)k=g@m{9HAF%~bokr{8+xP~@sMuJjFC)uQS7E`>1?ym(;MQxM+D}T5FRK+6ZbaE`1xD~)h5LWmdiccu>Xj% zMd-mKfSh6tw+qLC-Tok|nf@wNc}d?%VzXe5PUk|G7?`IbqO&Y}Wko%Yj&z9O22Xe@1XP zo>pshB!Y64g_Wcq`eaK)d8p*jl6#>)r{6?4RK_?_3J~+#50-DuHB+z%g^MSj-ZIrE zSv>H=#g=CZ?+rv#-lHk8Mg2IF6tp{4;Mex6bgdQ=JQ~ZV@9JDzJ%5;>kfChgFJJoS z#eB`m+HzCTm&`!5MYs`}q1r}d&(VbI9*1B=g@h7*#AJ&Gu&DG0@8G%C52mVb*;pFj z|I{a+p~VwHcEu<2b0baefeuijUL=)_1~=C~O61*fUp1R~ec+%SP8i8(hQW`bO&($1 zC0wG9BjTo2z0PB)LjWgn#y33~0?&FYbox->1<@fp`!2}jRFzh|0It1V66B>}iOr|u zk^XfK5P3B%|KI5l%d)3Wy@q|Kb*5HPHG#xhx67!bz|d^ri%e_R4K<2l6zk{sv+Hq- zUo)zyC-t_0%96xx=2-eJO`H>9E*`q5n9PgpvIp3ugVE{O+18?;b&=?!_W4v#evLaF z;I2tz9?wElfWRM)qhPV*x`A2=dv&K=)1pN_<}XJZ6G*f3@0XL!%nVQ z7F2~net229x;q79qX>0@ z?n2f*J9J8kEhKd!Sx?EK){ciJw}iHAR6(nr=>G9x@9i?WzeoT7f0HBLHI~OPg?+{^ zV@LCse%FzEA5b~RRF?f(q`*ME-orofu}=mm%3Y<(lix>K3|Q{phs@=)IT!Ql1pgKK zwC9~6M-e`S^$j#*PzC9afuKuA^)PH2P?bNl6ND{DBpq3w!_<%QCU{-#5bdr$jK(Jv z*k*z&pKw8rtj8~p<4cJh&}3oMqUA_XlUWX~0Z4u#X%xaV4Yc^qrK}KhPR}am{_{5B z9zuW5jF3#s#(c=f>1^FVey#J09%V_$E~m>-S!P_=|T8b!5;9nxXeGg7{T1+A(Cws<`hwuG{nq)%NXcuDY?+Kk0m z&iohJE7E+bImm7kV%rGt3IXV^87&hI>F^q_^32}PY&z(th=~V=A5@EhlJI&6m(eZcv3gygaa)xWf56Zy%Q#jL*f>a3eGm7Xms#gL@ zH#G4*;{yAoM^eDb6YJb01SXzxemJeWhf@hP!*IVIN9R*ih`p6ZyuaG}&;sa7Rl)Uj zT=;)*eNmQ`Ou5!ZgJFCTJvX7r#`73r&U`Fp7Ak>_Wg?zksIK+Z`cJ`z_TqV3XD?f& zyM^jiJEE^{!;$+|BHfp~iP6rlY|d_&bX4A)-g<&|{@eUXT?AAi3Jy_~&dE>7DclZh;p(Qmb)|8|S7 zrkF#~yUdpP3vdD86oDH5Q@PY-en1jmF`?0D!yK~)=1D&5V6tLom!ZFF5$6JjgSf$3 zZprf;E~UQ@q?7vve|Wv34J;ebrw(%3ajEY8s`ylL97w4Z%JCi_riTDOFmF#?mT`;i zmv^g6STDctZDkdT1PBrf6x^wzXHtf04lQi^dFSe^^D#h6F{q*8Pj}`R{cnP-M(J|ybTz$D&w6e~1gD!_(mqpSkv$KeJ|<;sT^-0JTV9k=$bBw6pjupb z8WX|BDy{H#V-c}C2=s8RA+?$$ZOhsjV!KN<-BYJJLmM7Z2EPxzGS4|JO=}wDkW{B< zKr;osqfO<;4_GdvtlY+aF7vtA4r)l=pUxmH`nBfrc${2+&|?gE01JKqH5U;w5{h{V zk;7{L0WH2kN=J?Ln`uDym5~R<^$i9PQ8{#1 z4Be-Anp#&crPappiQ^Vg1C7?h3neN-Y^-uQ->G?81+~WS?RcPDts@G zkb7-6dLh~)BXKFVN2nn&Emgz1?T4XJi z7u1Kzwn*LuDqqR$3Ip94YLa*3ho|Y&ovkw32eu`aBqZ=dV5Zzq_+loYL7MQrKZU3~ z`o_}3Vs%tvMMP5TPM-jTpY>K#V-U+F{KmGpHEyegkKH6Fbh+Sr{Y-!;MhfD$oe8)iCRFPwb?E~G(W^t6t1WD@u)2>I zg$sCA6kOS?v?wYK)?UKEsV9|XHI=kW`bY!id@D79S<4iU%{#Sg)w`6(-V6H5Hi@9P zU-0=q+UVx4{Keya5936g9ku+Zu3Or}4DZaDr_`En`^rap4D34V zWs`*~N+cDHHN~yV?tQ>_S2k%_IV~dR|45rGNP^-#DX4PSa)y#^2{n$$+6ieiq389L z)d1?k8gTq)6ln9s_#eJdxrp?iSv85ZB-rJ{0TMW;eR+2!{HOKYZXTiRUh(&W`>I}5 z2FwD*Nvl|uQ4T5*Y*VV_Nn9-SFaJ@#`OPpnJJ}jRkdS_~E#N6vuiq18tcSi()j#{B zUcIs@^|w~N+li$vHM6cdpI}+PP5J6%1s_0=%QL<{<9v{B6Y?r*lv<)Qca~>|<1mjp47+3LOWR>aAFxej!hJT1qL0Qxgnpe1e!y=*iN zm{*mF%a3&5>`YiA7R2KpsHr;V+mOUaI-#q~15%bYWKdukTC@NYujN6Wf`YOO+64|m z9Jr!(TDQjKz`B$80#7Q^5D{a6E!O+#6F~BbadA4~S9-;7Eqm3s*3i}YGG>zq-FtM1 zY;K5U`dRI_T}z@lg%1OpvW>4-8Jwoy#z4Xw{O8DkUBNFzolKKX-V6wn(FCQ1mc2$+VfS|I!xt#-bIYv?_0 zIT2i?v-Kl#qw>U3Szi0SxYAtJT#Xh)yfv)BX?r_s(TNt6Z2&@uJX!iw zl#yG~vn8*v`T@0m_x)gU_rGxb6*3XN?v6+JNJVLouCr}BO+A)y9BWBz%bwDPs@4!| z05Wj-%7i$;1*gj<5fAK7_glvkuh`j_T`42~GIXuWG-F^)WE{o{rLxFPm94hUdSp=? zc1784#4<-*6Ax|{{=GJTUba5RC_y*s%=ZzLN$k(e_rJqg9v><^e3LplbmLy3Mt|A+ zK@*i9j) zS+=QF-OT8$RI!C-~5})?=a5e>_lNp^5K;}<|CKLs~jsb4%*N|n2o(FbZ zc|9iE2P>?<8Q`C1%Q1dL0sV;9(((Y8ZM#Lvn*lpdb65ED^zF4&{#rAhO#=%at#fbx zQ;M>ctZh@9&`D2RdN_?3A2DkGtiu_;9zm701^=9bSKj7mZvk+-*=d@HF{Rcpo!KIN zN=}B9<&5-k;MMp~o+Y?xUVtFHHJhQ9vv4}j$WS=Pjq}v~K6@cWzfUwgS}~IP*1Sq+ zx-@_bo4AhrNt}u_VUdBJ$m}`rc@kOE1 zXed3?mG?&tGkF<4G%4pLfV`WE@9ldi=E&m%DJC4k^EWy!Xvm?*>}s^bq72QV>JFL5 zzTyRKRxS+tHtg?Vy1j8c@(OF|hLcCf{2W>hd~-34msY~A{|FBWK@L?9E4u?EvP1A0 z2Kuc0O8bE;ka~w7@dyS{ksCK;ZdOWOt!3-}1P^KNmG!jmVMI`grD$L8l#FDOMp}Sg zlnvX>dHIBWp_o+L1}_=`Vl-#6_ISlMLyj}!oih*~VnHUn2ic%{1JFf8xUNM-MDoo& z=PuTm{@Y*{u7k&OC#1k^Ffma7+{mN#bFdJuJA(+*4JMgpkT@?l;12SfP=(_BFG(Fo zOST_91OW#=<;2I@gR5~fWcL_Tt8DWjJN<>Xg;pwbA0{>mMQe69a*CUt(wW**&wcKm z=&}l^^|M!Iw}qh+J~(?*MMbx1Q(8QBt+z9_Kwl*yA-0CZ2i8IXvL5%ovS1U2nJQ;{{=j7)J7dMtd95+_dCAOZ z#u7Yesj0OF55-X9jyTuyjdRJK*gsf_+;I;gr5AC9)M^iVH z8NYu4$>MzXevp(KaKZKIEf0UcgngkkGc9k-MJSgHx1*lb3XOsO!iS}fYxKFhDEQkZ znyfti+av3#7OkEBn&sWr1)UYaCFnI{GBURE^QYgk&bs9vdfdBrm2Q`p2=}l|%$9-?d6PAMn3^5{G&GxQAnK$7EJ0oa9-^Bb-^4!6%ZnSg= z4}K;mL`Mvh8jUJ})0wru!}#p>&CRy?Ad%6T!3a24V$5Wk7qG3x2Mf%pYKopl(6O1M z5-A@vG5ZnPd~^AZ0wkw?ATmUbXrUPTQWea_fVB43Wz`;KNCv*SFy=KuqJ{C)C>={RW_DR`Tv&)DvO+v-l{V zxSV0wjJp(mK9@$6mk0~eO*M0!+XJF6KC{jOqTL0pZZ9*$(d}KYM42`y^L&Y%ReT9;E<5`}_)3t^5~Y{Z_*A%$E^)68ziNpGJzGB3 z297p=K=7c}B^fyy>OsDH_G%4JAvKX=Jf8A2Z?Gj3sto7sJ5z$mN>9o|s<-KNMr!fe zs|Ek}%DU4;zKo5MHh1C@Y$apWKUj@SpKitAjLkGLsjLKu>Ug8Sc$Tdn4H!1}H%Kc% zd-A`qR=<-xR7`>erkiqoAi(OvgQW=iUfPaDM>8h~`so+sQ6&$MepKIZ$1$oon$8f z1G0y(n7&NY>y&S?HBpGijhSeM4Sp?hSm-#s>$O{?`cTQLfmxyGv2QvU<~OU-Ya zEKQc<|0!d$Niw?LMiM9O;P0J|ec2Xu+NSonDr}Ru) z*Zd}e*4G_%@6_`xEx5-!tv4Veq}>FILTA1H8DwfLL64$V3U^*wt2KahBf=juzi;0u_rlkBu3N_jYX25PbkTVvGmR4h zmTmh0Ugs-&7rE5ox*g@YyO*7+B>nU=l{1G=!FD^fc&Kd0j5;cpt1?azycZ}>B^cV7 zZ~~*tS3&U|WY~K#J?CVQh#O{7E8`)FWq{WJa(5@Vh0soH7MpFy0?3$G!4s7-!s8d< z0H@*Pfv#RUD*9>o>4>10Ii%*Aqq}=TCMg?wnz?`_`%7>5m8e6TiKn#^vJ25o(xOsO zCR&I)`H2Q9<`j5U>WMhPInrevy8NP7c^}krigP2){h|TyK&-!I5U(K=uY~++H(mg_ z{AYY-A3NdGLH{p5SHs!^PMnB_(^P2Cu=6KJ9Dta|hONbs?6;r&0wm39A47C`VWp{7e+I+3R@NE)82SGDG%@!}bs|7xE|l4&j?DvY zx9!TWt`E|-d%yU*rS=VcDwuJ``KjkC;EZi}9oMXnX){~OrgaY486?&9FJ%OR(3+5z zEv#;dL7;uGBCm5I{NI4P>n1QRDj^red!%jKYOh8~-K#cI=y{GT_5G7eZpg<!G+Y@lgRstP?<^-Rl5Xm3eS2aAhw)U;6kq)~hs`u^FGgl^A z%PaKhR@;Nip1H7wqGcOy;J^VM-)1veJXvbh$Mkh9w1f`dODE2maMg}6tMN-fi8*Fw zM1%o@n@>{s8KLs+;_mH_>is^M6jbsOf~Pt2^zbHThy%O%`5G`rcrP8HXv za>PuL#<9Kf4jy1Y9ych7ddc%y__9$*ya*3H5)1~>M9@thYeBZMAJCEd8DuAIx2p1? zrE6Iqm@QmD?2F%~)K9ttw>eANE3`yS^cd=ei~>S*AdYEDz>XNv{7ZUW;B8DObuziJ z#Ofu7f-y!RlQIUxKTho>SS*{4^)$r>JR zmetnwJ^5Q+J3LYCgEVHd3xCG#sHu>36w52lyfpyDQpaY8@$|M+;`l4OqfLiDnb!E^ z#CfrTttjDSj4kkVYi{HKK#n1XQ@Sw=P0blmmM@>nh#EPwhyPi-gM$acyr;AzdKoP4 znmQVOYToul<%L%GPq1)M=##?b`-LEr)6r~D@ zKm774Z4ErI_4VrsvWMDDlia9SC_r}cwKypUx*H9DJ1{;Z&3R*&z*C>FCXRW2u+l#Rq)_gahcF zY?XALu0w_Nju#23>>s54#d%6z%AbI&4vNTl+wdkE3}#fFSk0RTe84H@5+5#x&5#r0 z0a-;8)@Wpc+*O?xOQkyGes||UY%zl?ejAoE%?Gnx>Q;=IQD7J^XTFj_eD5@F^RXlu zAzr$8{1=y2=Aq86TU?5`h=o!WvtLeB0~yUXcu>44*=lbfJ~d`&Qt`TN?OXNrMR z`&ND1I9g2xMSmoCYmiz^zq>7em2lkD1yWa?~50zNi=|aY~UqrGp^;IiSIejr>U02FLH56$#bA*{? z+UM|iWMK-{y=M$gfTFaEJ_Tuf_|n|S$Lfdb8KTsgzb0Bw{YjXg_K-@`bc8qd@VWh! z#5UD>8mholU=al2Ql>1$+}&AQ5-e9`j!)G_y%b|mid*MtI-HT$1(N;9%pv|O>tnKn zL4UAG3;4ahEIpKw&5%gfNd2%XX-p#qpw@`g@VD?{r|b0^MMe@V#I7RxjeZo?D0Vf@ zPmHSG539uW3p&UAv4eB}toA1^+9?;Qht6O;3gjE836?o993Kv|2$f6FI5e2=Pqz*w zKH2HmSYagFmD^3=L6uWyR4B-#C@vYEC;^ioTn`+jOe0a>)VaK|7DK^~@erw`>VN|@jh$Vl$9y$pzl(N1(v2$0(95t4(!u4(XT=-4t3sg{9%hIuJt6N zNhLlhq8tlXo=3-uwDJ!~O|GkyRZ62>xObg%DGgw|$r*SH4vQDJg$RB10Sm>vnfogZ zN?p0B?4EX7PV!?qAxoYQrZu~<$bxYf1ABsI^Z>a=zrbLs7S;71^E zrrinw6VR|wv*Hqx2><NL$6m)BDGDDLb7`jm zAj~M)0f=%bb3yd-`O%D|b8NYn4{{wgvcO0+R1bsI25fz|ag&Co$g& z^IAGOkMXtBc_k}dnV@{a96+`6efB?`QGqz>V{`#6Y$q}U>Y?gtu2XG8H+;0ko-ifVj!=Ea7^l18Wq&SqLHTbC%d%5x}GI5#~p~dW|2YEb}#zc)4g-nB4 z11T}rxNXVaYl2c2@}0InX!%kR3As9kbhlWAClR!T&Ew=6CzL$My-@x#2QVpMh%&ew za~_xUBQ9oMlJFFx_9|8Cdx^%ParTOdp(Jzrn6U#(FZs~1YtLi`4UC^k19~_KHz(@{ zK~U|53u(bVzzmZ}`OaPILLv|X$Ha2WHieQX=pWh7;W;XIfvGpU8$G-!RiI>~-K?Fs zbmJbQY2E;(rLQCXbg+Rj*$cC7DD>WNoXh7eo@Iaf40spf1+%={luCq{pND!K zH>84YE2m;_s#7$$iq!ND;HzKj@)*KEJ4Ej~O7U?(&>Hrc{(Ev$3)v@nhqUPa$O69M zOa%UoC3wrp%ivOLPLZURZR;Cewl9ub8os?^`fctrj~p-oKBSdWT)IK2Nf0@OugT&q zWJu1T9^wAxBv5Z4=fu4A?Fo)YiIF@`2e+M1$LE-{{{){ySUAgBGxkn&2zn7!;&F}A zJ*Y~a#8k5JgAw1ODyvOd#DurAbD=&wNpgR&`H`9qbx#{5??&ujLz6`B7Nj##q(}?K zr{kqyz?MaMk%&Tf3qkG&71&^p<#2LWQoNjb^L(y0UM+!fCbQwiM1?9RtYc4L{T+by zQ}l){VtC=H@NSDN;s_`?AAyNKh3XV~75`Lg1b}8Iw0#awg(OXU(%Ip?TkP4rj(|0! zjd#VoVnCD#=JRA$0Q=vVthNlgHl85^`XS}$w@92zT~WRtoUe9KK%*cP;dc?tg9cvO zhj$E~oV0hlx{L90y{uz4szCFd7o|27DZ#7flIpNa{H$P%1Xb!8Xo_NdCkSr_TO5J! zf;t)&vRd0F83#TF>p@VWt3=IM?}u8?1{vQZ>LjGBFvRv8<5koqS3`S8s5$R^ zYG>l)rNOI9zOW5Tth5(=JA*(m3BV?Boz!kxOO+ZgrH)-A?Q)sY51rz<6YQw$((<#h zAriD%Vbcxv?WgTB0y6TGgP-9Bf7}?pF}Js)9ow}9Pq}(4kvMcYJxp%Nh@LE+5Yh_t z`6^;A1}J-5_^J>JDnzw*qU#QwiQ`f; zF?r}REU;fB&^-{PBQfAy?bCLwKT&TS*m0Q4dcn*B%{;5>Ds_)5=;de@K&}tBYNPM3 z1E!Df>DX9TdVivAW(bLFTkYUABM$<5rm$u>+lEq58*dMZ3+4}LS7uDN{(ocz5gJgdA}TH%H#X` z{)FtAR0}x?JI(C?5os&gLU{$~Q-;PU+Pc`0(CYh?FIn-#J4)P%7Kh973~vdN#2!>$ z%(XAbUdQj-_o(z$t@f>QD`q-O*agB%cZIp~w*;jOIo>@yBnft9fDT_H0i0G=0H$8E zL~XceqP&tuutv!3#szXSGm6xdDq|2*9Hy#JU&R}ck-Vr;$ZW7r1p4|xb=iry;l#C| z7GXdGku1Qv%MI8&9HnpytB_5c@~1^ZYl?Nu+#PLe1K&-JAb+5*$67^zuGk~M&o4>w zI39x=mvdwSar%uwAjsgPuLOvf;F%^`vb=;oFwIh5Fv>0KQbgBlwSuYLXU%y`BJ-!u z9w;?kYWFtj%c0-Gtno$*(MpRv+kGIEcSR;eU8~Ev`VlNny>1rgyntAeu*E_KiAkeO zK@_J~G!^pe1>Czoe|~L*o7sre-wO7b4nWG2=^q*3(2K)a>C3a@u;!-byyCuid?t1C zN{O1lRvPeLPfy9V1IdtNj!nCLD` zlE)Nzut-OJB-xt-8VzXdd1;965OiXOuHu(JXDeVpAU;IsSIeGSM}WXC^sFJt*|Wq3 zMiYA&D;BPpfhG#-o=QmeZ+#39r}tz3F-N?5wXy&(<>bl>?I5xIeVNSB5G+*JjyMB0 z+_N4{17*ySi{?WUI$;W6o7}$tbp5pL!3B#uyMUhrr01eN7t{%Sx!#LIN0eJ1mq=fK0Oqz4*Q+7!+A}c_{D*_`w6!%g=3)X z295qiZFONx#vj>1J&Tqa!k^Fsg{ z6z9Ui1y3hHdL;x48PdfG^peQrkD{E5?0Ks`1#eIp-?qnhVWjO8s~IWqjUC+uwrV+; z>}yj6PRDG0OZ&XVokb;JMWA_5o89JX_|7w1MLy3fflp+h4Xlt<)@so0?vu%@LofqA z@+4@14C4RH_Ns}46h_aLXYe<=KsC!=4B8Iagzh^;L3}3TIf{+W-geqp*fTw}ng{T+ zEdDIH(AcIB(z_v5Ys6AJz2kCwEeNO$5o;%M0y-a20G)O+<}qeN9Z3DH*Xb&i@y@Kv zlJ;W^6ZD&pH}l|v48rR?X{GUV=rcky`MnW_8^}OPn!ymuEzu|gX*CrAj$e@*U-%ro zHGE>;2EP}bqRPrOyN|YW&pCGlO4TUVhJrAdSeN&lWiQaN22@Dk>e@Fc-O>m3xLRIL z8B|LbEX=}Mskzb~w*^wGwtFR?WFN8BoA2kuTjjebK!NHN-apjIdRSvISTp*rr_tp< zCQp&f_`Epmwgymh)L5IuvL+OW*TrOQDw$lC;%MLv*%2~6iSb|9V{Vy1HvR)b!s>dV zN?*1EP54)2#bFQ;fF+6jW2NFLlUQ$rR}>{b%0K1rJkk6sR;4#v*Z}Md1?9N)-p`+a z=xAutZ&3eG@J1xbQ+)K2=&vNeFs_b3k;>rW8t|-rPxWs+of~lc-$vv!He(7@8Afy6({Cq5F+ zIEr+iOYY;XuQMQKAM|Q^h1po@s*SaZm4BWKmc9n1ffLOJR`4xNGS^)K8vh|t#iyvl zVI_v77QdAX&Ad4PByI(5XbVkrf(K%VDQg4`i9hqa0l(wl-Y!7M*M4yujv<`iYUrk- zq*;37-7(}Fq<`~FQP}L1w26w?U8#uMzn>tr*Kfj`djBTaoJ*H*1EYiBU4UsbX5s?W zcoC2UYAZupu3j!c6zKlHZhZwg_Km`tc+)aO)(k*N|I98{sD9;DTY zrcFVnj%5hMD&&^vlHB2T)#V)rb>4XH(wq_X(E@)Xmf#2TfFZb0Jnj!O96mfPY) z+R;*p0vCia8O%aTYVygnlk_N5{paZGv=JaAUbCqSi{xsus#lA~sZ{qGpu}0!%S6TpmVh5;3< z)zvog_HKl|5&q$2Ht7MzgR~6XMKW8Ren$FZ07ZPbWvtMS*uNlU@^Ohe5!B~Q5ddnA z)usg8jjcR{KFkv=U1OkseHr|pBinB;wD;8HSY z^=D-V6>=#M6~UH4dfN>=?90O6V4EnHm0w<*L}0>STHBhK@K;0sAl~}vU23CEzzJme zTs*eqxg_kDKq`+IRhStoPR4?-wx$RFK6V#CaAaOGQo>5usL- z|1}%f_qGbaMfOR5bHy!BP$_^#)0`bUG*5}UvIkIX0g?KwzFM}Y3A>Cmvli|ybrxZW$Fujc3O zkP)5Jl0?P6rLh|bpJ*?O&qw>NG=zhzWac?7Av{7pyuhj~{WFOGB%V5@VW*ZH<(7vZP4XSub zZz|f@$%}549t_-*YUJ%GC2^iUMGUF9O=g!5U$`wDh%@NJmhzj;4Ir|yXHHAaRGTKw zI{q6u9>y+~CBA1^tvT`gyJmir^)aK@J;;a4a=pV50MDCeKj*Bj(ll4V%l*6gI9Vx= zVt=%S7r5g02=q6wfzIfgq)G%_a^dpr=czLeELI%Kz2gj(CvR2lAju0SbJ+;~D0-e` zLkIi{d3M#*BBoqBh++gqzDRRgxb~xv*kZT|Lx0^rfi)?Hf$xg6?wT5f`pXNHMZV zMPtYh!N))KvFi-*@QUPv2r=f&#eLifCVrs&lOeWUoMh&KiTZifXmAf9om=|Ck5>TJ zjFnm`LyX_lJ7YKH0Hvk?RF&T3Ir~R6alB1DLjk5ocG#)h&p6VJsGEEB>&?TIeb#Z} zZ&&r&2(ON`I$SC^T;Yem(LmQgk!Dt^b+kY31X>>FzKVg`d`{hY02($FLA(8NjCx36 z7)(%6BD(rI9#xf?6IJ4mjDE5dty)a0=8j%Yl5*83MQ;|1q+>{)UNDu=gh$7BdzYfs zOQDw$ll42DueP{H+yGDRh}uE{)S}_Sp{V4?Dg+6httr}0EQgAbih(|#LkRmAa|0!+ z$1EocJvAg=@{a+4Ap?bUpK|nUjn&>e%1wIi@RQ{2jpDI`aR%ebh*&UzP!13?h}KK5 znMx>}M?+5Sz}O3~H-!J`YlnW3Buk=+%G17@0Xn)3Agb1Z25L z#A)&!=;!~0_KDR%PT!L+Tuel%$uKcH{Qm-(7-r`yJE24ioe9Y@494u!#P^LS&5-&X z_T%kbBHixQ2IBr+osCa^R0^BBYlc%Sa1VSybMdhnSYV~AL=;-b5o*soV+I|V43@AD zzv;w%DwnhCGpa3w^9v97Ziu9GAkCnFL?=)e*BT0bcX16uK2jL{JfbS7E0R*j+upl6DB;eefI zoM%c1&Q)(mW9E$Z#`*h;>UhqI!(44!%>1St9Vfv3bpn^v*N?B3Fi&1l`fTs<%3$)O zAKUS0#zmF%4dU{g-IaU#+%ncM!WfFw*NeRXw{kyKM!l^hzWp*INU8Blcf_$5Z61;g+;b{CbX{iBZ%`!okBRh(Ek?qPFM$TD zu%mP^272YXfBFw*iIyro>;(C681{k0A7&yyS?G`QF_a@pEuHB_VlG8LtFplyRUY!g z@yB>4k+!p!MKHxW5!a+o5HOsMWkAeZnkDU=BT2OCtgdL~SO@EyAPAsdoa|5%MXpm? zcs&ksJ?!wuz~$5(T`mFwa*I&@yFm;YVy%T}bwB8TScySjN3moNu8BsEv7}X2kQ6Z1 z5LA;~L%*DPHwr&XXQU;GfKACEwI=gNt{nt|44!3_{iTWne(|YhA6x&)jci^kdZ>=g z2qSb_%-M-vbiEG*IlgI_P3~be+x#9s^(QuoNcgLDUeheVdC+*#GUbOrM-9;Bu`nre zg6aZ!!8TK#zi9USRysYVFxxy{sgI1T#(-NL58$2%r zgg)j8)iv|&B2qa(?qYMPD7*=tE4$kISyM?<&T|fo?7m;~|0|9ioWw%Fnbih#W_I*C z?&wl!oNKmz`M#|qDXI@tU!Vsoj;pJ?jX%k^p` zx`r1=jK`cS43)JcE1wP!obol2GWX;+s87J|(`c&JrED$l18OV? ze?R_2r;2*MJ#~n~pi+f-0`g7uop_%~C)`gPwc1$$4L=k;z>1?hvjf$I`<87Iu%qob z$k)r53*j!wr=~lKlFJqlcYVKnjvS;$cEhxCRW5X$pnFGi4W+O&Cl7Zmy}`lWTL5ryn0Xv49f?yC)I_;2Sml4QZ~v0 zxTT34rdm%Ypw8ux$m6j$-%wSlw_ zHn5^gC3wNYB}O6U=|!(|5#x}&UcrCt&uuvt;BWx3batt37tv-%NNCbrI~tM%L6BGijao@Sb)tZ2_>pSKzZgky?0e*ln9t_l_>0l} zGBos2qD^xQ8=(K6oiX3RiZRC4vLK%Q%}mw+P?iV7Y<)a>i`R3Ls@#yUQ$B5m9%$j+ zmr*eBP8oinvn%C7#Z>l|I0IQZZgz4Q8FpH5P-(?8LPx z+}bBhkk@RXu|(k~SG+?Ho=ud>sE}BryiC|0Ll~kBWK8r^mfMz-RO;XGWj*Ql;jr=P zY*ARpZu?6^#fuQ3XlJeY2{%O zyI)3Oy$73?tW1r1_OXB9Ah@t3mws1mB-nMOyG^5Ay{Wwait654rc@z88$ZQXvmY89 z%Ao3fXi1nya!ja8hk0?b8KPXw5;|)%BMIGio6}?1*M~a1t4!)fOACT40rfeqmLi=t z);ou(iHt{P0siwQInIR;dNz3szQcBcToya!O`eF*sN)$?>_`2!P#O-nSY&^Wk6FW& zhT@ZJi8aQMBU1`W`jNvD9(6%)GkT(T&A88K3>)-4ZkelEpvKv&!YzQrJp+v3o^e}P zh*)rN*MXB#)4<0NJ3u$5@OoJum?Y#+w<#vMiPNC7QOa+mW(|>kv6=bkygz;v7UXn^ zo9tLaz8BVr-_w=sF%L0^UN&p(1e*ogUH{k2D!!nS~oR^P#C^v;3Tj@x%zjI>qtdzEPTTSH^;+@u7{rJ=<8Z+oX zV8b}pZ~ytER_D+KXmmxkHOV=(O#llJaYJN=HKYZacg#-aMc^@(kQ;1g*qQv9GV5N! z1ItU&kW5YnJ>iqw;mO|85H?K3CQgwgeK)sW?tr#V#)VndA9S#%X>MK?lp$1XF#`HO zm%4cLMD`b|)Hte2v_dk8jdc_{U@+g!$X9bZ1s$NrLDXmXdtexN^_T}Ve09d&Y_L-L zW_I)*yA*c|dcKz&CBL?C3y-b{x_fCHH^~dOO(Biam>pki~`f4U-8LDr)I|$~j#{M8=K!4J> z;b**Wd$$v@xn7eK++eMsG>ResIuniR{+zq`fKzDx*`_3D+=21qy?a(+;C;XGza__a z|Aif~iUZsB^dX#IXo7yU!09W}Upa`?Ymh>vGR%AYT??znFZ_^!YF}|Nu=mC(_|hW6 z0cp0#SG!zI-G4*TH@nc%kVrBzIP<<)xZK#{XHR@;&<$X)WZdG*lo(Eqam^Ay)7DVy zf@AsFl5)U?=r%WDU&y6&gM5g;{UZQZK&ZbENEgu2v@7KRf2act?f?ul8I!me9?Xwd?x47y*^eDGrFkFkLmZ}+KvbrvQY-eNbWTGA^yL@ zZz()Pm(_^Dd$fn?*GQP`!_=`~Ca$4T{az5bWms(*hQ(_QV>>s}CoXnQgfIX=uMEhX zAl8$Vhc=GDse~l{(mpp#ZkKQGd)WhBN3xoHV9%=_))aa93f^pPnE#@{i{y5I$tbG; zaNGv(d#iDpJJGCn(FFVEFlYs615(-3U&P~oep<358cvi$6;wN<*2K$sq~B96{EKaM zp(qqwS6~FUvX-|7bNr|Nn4sj2N$SM&_v+l!^tb>CLGEnv;Zx(bK!Lun<&W+j)e|v?q5yg^LauE*ZA{f7X*m7xG zS0KEG^@-tzAD85m!LKj-RUVsTf4A4~kMZR6_hhiQuKG|>UPA+=4;79Cag~Q?A=O1! zkEQC>LQAv(ggpK&gQbz*1-4pP4=XCd$dg2^h7Bq(YlYhFz;qutQ**MOy`PP zYK!B+ux!m3!RQf`4XJ<3&mx}XQFOxYiZ-H^>7Ba+%%J9uKC3vPS6vSQ1P5HpxXAo| zpkU(mokJp!$h2M6>dA$;VGNuv(1!qY#gotVmCsYaT7x%3I@=OH-RoKK7vga`K6^IW zDSLuY*3EUI8lBObJ7u(+oNjKg|Da-Ge-+4$gZ;dj+8n?KAK6sd`gn}terGk$UyHRn zPV)3)@h)T@(TsIgN3%xaySw54B_!%Ho+hizKxjn{XE+j=iB<0A$N*88c?5|p`T~uR zM7XOTvl{quWzWZIda-rt^`vRS8h)E7jnmPDz**yY|H7NwhPuE~&640;^URG}fs zb3vmVLPjF~4NYl+5**9ND?>sX`*zDfsH^wR59iW*O$nA&1WnQUBCF&l>gQEj05#2m zxUNa94@kPaHF%?XvWthHZ=P!|4(Pi~zPhqQfOgPbicUK7h4p9{U@MFX6WpRGA$hu- z(rLbY#EbEDcNkvQ?h&QTv=5r!O)Swp^D)d5<_wW>52q2|r)ME3X6%2D3s*^niBu0a zHV#jfMi?~43HO=#vxMz%1JMS>;Q|E&6m+N41D-}c!%mo=u6~a%vPgqaB8I6ENxI|2 zdI4bg#4t6TLHYVG_v7E>c~@;MGHGeI^$5{=LM1Eof5Fn?K}tK1_XGmQZPhg-N|Y~y z^2U7rHgUv2VJVNbb%{d1D+Mo9QUED(cClGOvl|>11H`*B6FCuR3O;R;uQ)1xqVj0~ z+>yKQ@~@pR1PhYyTH19oACLP;Tn{oQ|_?*@Mt61;7L{U~WH-Dy@^YQ-#N(umwxkZ9^ z?X~;Y>m3rc>1Ku}M$qHt^~yIhj50A-L>+_S&m&VpC}a3Gk>%gnf`p5pYONqM!%%!! zwGHD=EP#1A*Y%1&RR?)i6TT3L8Xr9IrRAg4f4RIb-2+c<51J#Jj_XIE6djC#$Z8`g zB(i@776a+bgv?|%8^$>?@9@w2i70>SRC|CN&(=>FV(;(sC0D;a%*%D1Q6luLuXJUa zJ-a7gEiADcNRt@r&9ONY3+23`yaRPBNe{3&{Ie-d4!R=b_IkCj?GSpx{DctbfJ@lH zY9$2S6=a|CJPm`q$I-<}_+piONkCA~q}(sGo8rX_L6^V_P(tBKG>eVOW#nX3IG<#g*VOngg0Rf6o3>Y9|vTg2f~yzg|VZ|gzRr_1-{YG(hQ{Kj4!^T zjYU2jx><{>=mG)HIRoE9iwuAW%!lk^Mg(>5jFQa(S@^bY_ zVzPRelqFJO*V*LkXMPGun8rW@SZvl{1g_y=gkW`zI-jufqXIAHSCc}e zKikCcu9lvR+_O(*>j$dVLj!vhM;&vV_apbaQNQzx^q^XI<~?0f_c6IbC1b=DVyE`8 z#|0{HLOUrHwutB)G^A=CUc{dIgDeBVx0V+UkpVc6P}7(&!_X*LiIq!IoFle=yjD|J zg5B#bJ!Gs^z2e#F9G;g9$>jgy#%xas1jo~$^|G=@Kzs}iKxWSm1=a)Skh*Atbl`mP zYHt!-Sz^Gm2P~M^o_HFX*+#G4JoqBqCdgfzx=(EfQ9fbua_yp7BC2(d51ZCsX$0e5{pi=yiTjgcz1eUB~FjON$S>O~TF5-?$Y zJfT`47IYvsEzb8*4(ct;B)GnQED+gu(ItGmyil_!*!BJYhvF5#V;wMOCa4Y#vyH9y zm3aOho?)o&7Ag%HRixQeSI=jsnw+W%>oIiSEsBu+eWSh>MK!Y@m_ZB}5o<3&%)c!M ztuQo7EQPOAZ)ESo<=QO5hTJnUm(gTnRG-x_UXPWBW<)bn zXDh=7x$GcS2lbA7SfT4(<}+Lk-cz*I5y}TVS`U~EdxJV(It);?a3T+K{~>`E3ey&6A5wvO zlWB>aOImi)qe6{HfHY$nl)U6I+$#^`GjIx07Se=#Cw&$iu^O^$`O8zhuZRs@ULoSY zM;8lBn{46$0o!jOn7kbv*EDqD7?{ZA6A{enR7XrjleZa3p{ovTOy^vd<*Ws7hhCw4 z%25DlN0`a|!RhR6(+!$V*|k$mdqH=leF4c2v!|)zj%;6LIpEKa(;jU5^f(RU(Slpd znaF__HyBFnCyPTbtWXr~IVPzn;Z4$-Moz)#A7K6#R zL?-gb4pnc}C66g|i2j`N_2M4i#oeqX**_)#AO3%)bGWQXejBR`r0~Z&z0h2cStpG7 z*E@$w%Z49*yhpWkh9TZ)9Z( zK0XR_baG{3Z3=kWt$0;bUE7u|Zo%EzxVr==xVyV<+}$;Ja0u@1?oM!r;1Jy1T^{G$ zx^=7Fs;_$Wv07VmNFRNSKId$EFLGi9WqLsqJ0qZ&ovkxHGXoPhKvhXy!O+^;(8R({ zhF-|d+63@vW``pu7j^_1I$PM;iWoWrxdG}x6MzWN7{I~;VCLfDf+GhA+u3_KT9}zT z1E@YRsA*~G{$=?q1YqRxPtRwjlZBZrfa3GT6=-c|Zv(V-{)G5nCn^Jh0B3U`z|_JT z2oRQ6(3F%D2T+O2sRG1-wm?TiYk-1_k+p>}K*qutXzK)|2AJA80<8bB02tfZnpphR zniIn(mY@^B5a47FG`9Fm1G*an?f-Jo0qlW}HWp4!pYH$*CxDrwp{?`h44mx%7PiLL zE+&5w__Uka{Y}W;(e5+C=F|5HreNpf>}2d{Vebt1tg0X)_79%U=7!FH)poM@bOY>6 zKO;@-j9va}>2KdB%%|7c(8AUU;0$zk{;QS|5MW~AWN&Tg@mc#5%-+%BZyGL67Pe;p zVn7FQ1ezH-npgv!oIYVbvHzORzxo9Hm+lSi?X5lj&bIqI>OVPHI6DEYO&Q>rSw3qT zJAc+Tv#^C@{A;U7+M3z{n3?`zH*vB5r_UAW`1gRQ{@OFtpCk-T>};()046|FI7T@; z=g*P=s{ftJ4F7i`{~t*Fe|DNZ6hZb|Oww5!r0sfr?_~#u1 zkOBO4$^5rqLmLZgkN+wB-y_w5|KRvPp-4I#ehxy=*6dRZCI+T|7%iN{EZl)63Kq`B z<^WSe>(43uZCAB50XkY+*aAP*{Cki9dS)i3fAguBTNqo}{xx>?f4G3QCjUL1|<(*YL>_4gfM<=p&CjYtk3q?rC&K=-I&& ze7IQIeg21ve*-c9Yb|T&>}cT*(Ee=uGxM+J|Ks`BO84JjL~V`jO#a#{%Fc$iCZF5u zKMjAmja?iaKUMwv#D6yZ&-LFM9SC#>8pACw*ctPDw@gV-b*{n69vm0Z?(1O&9}KoH zu2(6@^RKe&_Dc!dZB`5{IgcThZ_+VwqO*sA<88h1 zJLIz~dt5239KJgN=Q!=UlKl6*2$>`B>_bie05HQWbv^;&D*nS#ykfs5&t9_09nR@J zI43GA&o}uGX8ybg_Uj1x-#d<>h(h-g-x`1_xwXb8gD3JKb9db6Mgg^w!2P9U5FV05 z=Z)4?VjS7npYc<)Gl`>2G2W4m6VsY7ysPj5{&2s$MYm$XBP6M= zqYn6Ce7GK9!YJtY(X-5REzOBYn_#L}H$%V$(<2&fZZD?fZ1#hW&U3~T)!&_|HY0(( z$P@N>#5!R#Z@MWghC`=Blvd$RUicW@GT}0egO4sRgB6zH2E@EF*ia-lM^l{%>is(m zLE1=8Tu87Z%yt`+`0HTI#tjQ06FP zlInB}Clv{g-|YLS)H7n?$5S|j5VgC3&Lypc7XFqjaZF&A^DWO1EesXkriPiEzSH-c z(!w`7kzZ?K8UqUW1;#X}FZXvFuAh~IufjYez23vmUa|e8@ z7bN*DLV}sC#Z(!xYx;d9e!u;oD%Z8caVJ2{YC*m=Q<$A%*4m#JMB0V7%f)M#J{>X7 zGoF4-TnyO{oA9x@EP+-5*#ehK)(?=GEnA`2)38Q!h#2St1yj_D2s7rebdKWL*^DS4 zzP59ozhKRqoB{=xd^4E(rt0I{5!C{YwWBG4sP|&SyzK?L?AUgyoGj?R5rSw$T_N2z z@Jt!^LC)i#B9m{1>UIB=r|_UN6wYO~Mq*pnYC`EDUptGCDX+Ibc{>VCf%{4eXQ#bk zJ>(rN+@lQ8LBSX=X)N&9q>A<1kdE&r)m_9}xW|<)$-odVz;kufoKn+TQ9yam<#v9D z^xF-?+Rl3*XxibKul7=W1K%ma!Buo*1vyS}N{k;NJaE~x1v~^NxemGp zb|3g}^VAcssM2@H??l}AV6y19#%G@YpptObk*;uvnAE{`MC9jntcj^jfp&mMabdtU zH)k9+Wz{IDgAAhbI6o<3V&~F!&O2(#7x71?Fzoiox$5&%S)PVFYn( zW{I%w7o5fa$|$U^Z}@@i?&D4sY9Hje{dA?uGQ;!5}bgBH0PcuhlnLQm3`Y z#oQYe+Q6tR@z8o;B7MEuwzE%NOwLa{xDff(?)aNQRQ>&^USSoYMS<+?T*$4GrmSTx zR6Fj<8w4GGTeIM#cnq)~HbX3Ndo{W0aEzPH&BQbBtLIOnQhIfPyNaQrksJ95tT z$ppi6#Z<_^lKwm?s9zPCKcIQSv&D#hLAwB3lq*XJxI5B>)fXUag`N=^jx)SVjVXuh4zdmxy-}T&eJruu|t5~zNRVzqAj1&5G^OX2uLeoa5 zoa!B9(vgPdH`qzC@A*+Zf5;`2qGlY#o^Wz7$rJJ*ikhQi)B@X_(8kAqmPq>jty7V~P>oLo(rfCGN?VPJ=f5V= zYTqSHQji7f#BZ*WLcsP4IjAekVX$_>W@yM4|>n~7}7S)wrQrb6| zkP!&cv!~5SB5xGJ9m%S)Fn2;Ad3eX?AUr|i@jru(O`gsQ$)Lb}X+wr%_=85GhwxjB zoLz6>E|_Mi44#S+yQv z9D7zl%UCPP=tkm47ypIqYM0D=N1r) zTehGy0Mz=ZoG5g&#jmt=tZNbb{-TW{eW^0fXpA=vMn#H{OS*AWHolJntVAmI6 zrp(=bg!^;*(ho7G#0a^REk7H-42ZD{75R1;Yx=BT+@y!A`9n;q`@v7M^yAi*nU<{D zv{OaXAjJb7$F}eM{MYfNdx6bSv+cWWZ9{)3{rb4`*CmSbp!LmEIr1;dW-=H$x!|t# z!$sp5FuQ|f3u{>^m7^33+GYZ10#I`iKouO~T0|$KZPUIBSp49tB;56l6X!B4)T6+@ zT51q+$buepjk$!VN&&U_*`{m(=XIFF+<164uS>GwcTCTbacODGwgDs8Ucd6tI7?*x zrrw`i3&IF7P~^FV|M9+-@xvwQa<}Mq+4COCLgvqVhRuv_>KO(O>XYf~Y8B>9DRHG9 zP_!SN&8~C&KARfbi|K%r4FM$DDfc$rKx1{myq{N*m%U`c&K)vmaSwmwR zm4DEGvg)5Q-5qUN4vP)$77|Za_lMmI!M}G6ukHk)I8Vtf(oPo?{j55ET{ zJxHfnrQ&n$!qDskI$4N_08|YYCVdBCLEKh&neWd+PCalNw#9iXT0MJ|%=Xp5^umf% zI!pM9B2B8UTUxfmSC)<_=41yYxmNNj6aG4^_(itIt$NYT;BY&o)Q#CFmW&X)lo>uj z_(9&0R7_d2Pja-@mjMpI^r3>lsi1$Y0(I-Q9}HH!jkM_?c`MBrCcUtHEm9CDGV8qF z)te{IuaH-BIFpIhC^_caTbj*pgjbC@0ZVc(M})f%<@w>daKQFL=I&sMrV(>O)CH4x z8?r&9^DEvCk^phi4267^_qQZ2w}2z@$94N`h}B?Oi#g68zf&erCg{ zkoVHIOD8WNFCZP##qCU~5n$qA#}R4Fb6U#qysq5^kkrE>>X8N+*~UUfby*T%}zwK#Fe4J)^kFQGzNH9W#&K*Wb(}jyr!YzYi!VZmjEk z8OjDGq(kQ!N;&OMz=bHBEj&XDLyebpKs!Gc@t-1c%$#+x+v1m;|7mlK@U4#?iK}-2 ztZFi?>a-VaX_H(m@$10f_T>=+KyNMx-2Tyn;%9h5@`-gZXVL>!iuJb<3T zT;t-gFD1aWR^(%!9f!y(lm_`dWx)K8OuZYbof<16Afo`Y{r^#WCb5F3{-0t7g>$UX{1I)MwuiNF7nWJ8aZX z1WmQeKFvWGMTJDM?V+2(@1Ht@h)6%5TKJM*aS!=42IHog5jQ)s65=5jwN?>+Z1(y= zM*t)gp4$;azoqLTVf%?E&ooqon{<>cyORIAG2Dh*Q==VEA4#?eepKt;6iAf3Bp1{SK&y-K;!$H-k#{4(r9)0acWKxq{LcU5r? z%x!lIA8dm`Q!sJYty71-1&|NdcrfS2r>3_TAG}Wc5J%#FWqqqTa#7gt9b+F3|tY&igA?nYh!c;jc0j=A?kso1Beao6@tvCu~Qva_XdX) zbTe=TI%aC5;1aCpjSW9qdlR1fcW#zYXnbQp!N=J$kym~V)s1QoK%@nwBo-KtfW4ZA1Ei46>23gi{bSXTy|Rp?p3z! z(V!3~BnJu(9~p_@jFe-nEbA%ayTJY4N$?N2MN%-BGiG1fXM{Ned2tvd3W5~*iK&$e zo*91AN~!vWGRSoQ-Iw8Rv=u|z> zDo0R?{97fXNH}|C(|ukcFw9yts`(ibu!N4NU<4~{`i+;OBsz)hYC;w5WX+uG&AV)` z&>Wo3_l&l_vb82YVDLk&Xj@3!U-2dBTH@tsJR^l_=*UOk8S0Oy897PteH!EIpDc~P zIFSsF$Vka4p>%JkGcJwVd~3tP(Ftby<@7ee8R|O$TA$W8`ntGnb6{d2o@(4)5a|x> zF_tZ9=W=-1Ony43C<;<4Jk3XUw-|^cSR3ha3oo~u>nMFD33*l)A(sF3Sa~xPBXqBV zszLdP8DsA*5Sgwp=v}Uq(j=>-4i`&@W@CAdf#U1o=AiOYD#^>!>HNDSruV(HTz0MB z-okM(^#~nC%uWnJgSBO?3P^aHm(obQ;W>h+SpsAwLVT$T&<4J(J0gHSuWvgPEL?fCx>X zL-!ptsUb`V+npx(#wYSc(9&s zXgtYxzhF%R-hD)CtfLYxUd7vH_SzwSL1=-!QwTIr(d(b(0$s!zegfm2x%iq<`@f*k zEy^e%2-e3eTf9Kd2(=bc1JkZU_M?=Q&AUe-g?}Sa^?zjuYBF}JvVJO_=-S0O87 z3($?vmzr-VMCEyBk6gW!`T$o(W#1VV293syHU9$bV$ZhoI~EwLVQu2#D*&crj|l)R z&)e`qC9)FttY7MCYCFU}L{(QdOgph1F}Cee$qb0()tZiO8M6;+q|y~1KGx@|;rL)> zi82a&$l%UP($brOF1&9|C*$g{W4hMz?h!xCCNE4Dnm8yH_Zxx$;Q_T0GxiMlHvcO`mQa8WCWA zw+>GmEd1E;{mq4*HcIL8OF9!F;DCbZQAy+D$Iuz$#Tk)k*g7xj5DzqF?>uc^eE;+e zj(RhDJg5M(ey}ZaVTfp&kwL;jV6v@++=(xdedckQb(WyCAC(wkXWy!jQ$@gFbVmut zStZpiu?z;WBFryW?DJVGZlrh%F%$K=9TVx1E!A;hCa2fkR|O47?X5CFo@UqhJok=~ z<}Z#F8|FbTd#?txzV@V8eYodgX5d{EloSLS843G$KM9li;-wp`#C*S=`W#MNxHcz? z>Cfq0RO~)z-?P>0@v-)3U2jCKBpl=j_t(E$k4)jiCyv65rVt#=*hd9L8#$)TWu~nA zMh32^mAHe~KD~3saO%MDL06;k2<=pb6fmF(GWo!>EW1*@Alrz%cMN5=rR+rd-H6tn z@c4%M3$utSeUnTP_bTiwCI!TCWp{r4uo?rkOo17lAT9?Tb%@eZkeHF``<<-NLBu4+ zvd+bi!(r11UMQtR;c}6!xsZGK>+oVLd0xx=H)ttG=2r{O`xsI)tEe%fE@Y+nwZUfh z#OSkSS4pBC7MH@u2lGntK?x=O*o!~O9c%GW?%;cD!1s%B^OwUFiy%niWu+EP^Rtjt zeu%`1i>~|O$9I10c+^Bztx88)0L4!ClnbPV)OQciD%~A3l;UX=bPFmUo}GIT>7@kR+7OuZ^nS zIaryr2#xjtN8^K++Ap#X0fPncwL-3;QQp?z=9)~RZ>>d*d4fg1lZ%=wW<{-iDoTS# zgTi!LW9xkp5mrpa%HtB7CdLTWDQzT-`6f>MGKuS1CM5%lHmyfaQMe$WRJfJLG1;WG ziCxC=c(1V= zmMHci4r?vAf1*-0k{Z!N*vUkkPj)_lU}~M(S131LQF724CibCrYFdsceyxqX(ILl- z6N_j3?Hv8djjj=@kMlM+<1csna+I^;=7-{JR>G8hfAKWWGePPV+u6C^S}(!+hI zT6>6d<+wv>aR;9B?bwKncKEhakd%!OF^5_iMUJB~S)I8Woa;pNBoyZ5krkwadsvl3 z7nf{@t&a&hZ5Rz%Z%r*rGl~ZY;rvNp{aVNHZ!cDU^1wXzGX@(9fOC^5y}msj9-@f z;|?NjHGrh-Xu8y5(Ws+j3bwpBzb9l~3fbJ4ZHOkZ?d3E|T6J5U_IF2eN)*V~or}|N z*NpgQnrlVjpU^YJsw9rSDZDFsbiYE<8jSmi$$Rb5gAQvhu_m7$zAo6(+SEYoe^V@9SP%@*(Q2yP00i5IUR!XS@4CHaD{HcenEl@HIq@A`H)#u; zES&dnt;>_Nhp>stzfKVk|BR>%<8X1$_|3Ar7!oJ~vU`kch&bLB$U|jC;6vjl66;fK zJ7zpXhsn;V=zK(*2TLKdo*><`X!oeEg|t8`--AzLhCKaN7#y`jYFr*S4l!IS=tf=M zS-sz^@_La%crW%4X^P?2MchsUt`<_DEp7hjJQo^=%y=eye96(HT5Ftczv5BRezYci zm3ob<@K18331eKy-@ad{H#;t#t>r{6fwBD+s7WplF60AGIBo2?v*g$a-K{vj88%3$ zuKU$cN@-+Dqagz$B)x8Vubz%9P1IE05v|?8<@IvQ(2G@AGmzPhN;_5$n_kJaTy%AG zF|m2ZwP(;g&kTOv?*JNH{$z7NHi77M%r|AL*#pM=mV2&U)Xg*!KXeeUl|-S_BjgF0 z^-HyE4JoFHLwlTO*gp0Exowu-aG{KgH0TfO+Sj^RR!Z%$ANrxU^QcnOnmG@wP9VK2 zydMVys5~tY#Lw;o36Mm)$M;q>A_<9%=)>9S8Xrt_$Y>f%vNcimd&BFO&^*+xL61;* zc|DxZw@%tPcF}+VLW=J=S$h|Yd8Jac8w{!*-^T1;YS2d)YHjvhyoZ9pKPsq%=uwZD zeCLv}u8$fq^4%?p(Jf&;E7IrCpfS3R+}?`=ezkxL+CRPCvq+uxsib-3!Mq((L}4fc zaq)$Pg47W@)NdJ}Q5#0n47ORv=9mmal0295&X`FEF$44)NNn?;H)|yYu4V62BXRn^ zazIP+plZ)GFVDVw}g7jpwAeJF8oJnlc3`)k6PWUwF8JSJ*^M+$_7{{Le|Ar!yEm0&W@5HJmI%#zIBONw&o=J zt$=XcoBAkSO|Y9g0GVF0vAjkRl25|fS8`Vd{U=BR1oc8u5RNr^W>vodjn_tMWRBrC z&>kdRj)9V~tBqbF2W=cDN%Q9l;`|%61UC^-;edr26qFqly`|cQ(C-_ui zf>Q{YZNK<(d=yRIhVuQP@({RRyYZ@X;bMw&Q#`K1s{+)vcCo@&x{w?WZ0%R#?(gub zu!^e*Y2!?Z4t3$A4(S>JI7M~Vqa8~=Ph7d91m52W2uUSQV2t*2O^{QAAb?8cZ<$)m6q>E7`lg? z4=dbymLyLQFO2>~)x)NtgQb(tlWZyn3rZ>8$A*NGS=U2%fI;am)}=XG{OB9{_F5;z zIX}b!GSiIUsR!QhP)>Y&h3N(IgE)o}#e6cSyjZS*1t{nzR?4-|r+ho3PaKaEsC^6- z6n}JzRt$ymoL@IrJK>TA_L7<9e2ZuJu`vdVlthY6xhQ;?-UJISSN-+KI}oumcthvB zkJ!i`+g`J#9Soq8)D*cx=m8EVdzbzdi&wDh`y^5}>Evz#h&aLmM5_CWuR0KuEp*}-al>S+}3m!Jh|WQINkO-%rxfa zjFZib>yn?VQ_{kRsiotvm5qSD%<ZnZCLC~O6h1i4CU9h~G(n|gn%*us@rp)baB3l0~ew6O(Hd8h6> z_n@Mk@P42F<3jn>csNa4P7F79^YLv|9un>>+jhqJ%D~&#a!g&1U8bpzbHYgGJJ1GD zAW?@!ONoh^`|^OuVuf5kpJA11iq|!%`=660rBi5$Y&#pH-h@+}%mq#tlM_e zN4?0MqRhk*AN}I15d`~2Y$xV=U%E32U-L7Rp@CBOq(L69gnjhc6jCcX#D4iN<%39$ zlXT6A^Gmk45ID=~Syxh%xt;OCi(RJ(_tf;YXL<|7MW}bezv$Jrzk*1z)Ul|15xcG( zTFe{-Wn&|7D8+a&<%R$u5H5r$A95A7viLKCbk(_wsQc2J>rhOE7;{^JAQM5HdQmAk zmKRvsIhUIP0Xu4YpqWCL$h$~>Zj)CgArlzocZVRF%|QSi82b=mlo;a@SzVO&CiKOT zL;+B%&D?YHBksG-CC*Pu4mxy$pTS2iX0S%&oV8YJR3#pg69}?IlSCl-5ISh|5)HK8 zu=DaF{=w~81YOArhpQ0GVLv0%T?Y<;S==?a`-h@gVm}C_*ao^L!#j?sezQl+N-~j+ zYW^vjMtR7#i(MZNoGa6z)U*IGrBTQ@6B4E*)Za;awU9MgJ7v+YJwwCFJ|*0ZZ$jEp zg(lE`B}^NEZV~&T45x|>bZQKf+GVv9IGK)oWU^CM19lq=UWd)+SpCryB_%-eo!2Lg z9!$6Gtnb^PJG5D4(~SI4HQ%%nP&AA=B(Az4X2#?AE$Ve>-#Zaln+jnIzGFUeZv*#g zPk^=FtkQXU)!-1Ly_KiDwi?Te5@_~W2bqY3Y91FkXp;JJHF3UNS#~Fw3$VlBU`8{eVdSdgRisyaZUEouA zF{b9jwUCWz9JfNlr&U2Hfi(Qx7^$FnirAyeGy{;2nm3_!hpKo&HPIek5gYm^zpZTz zz#a18W2HeIeB>>g#JjHeSOKrf4XjRG7fh&u zgc4DLr)Y#Rm!*0P7#fCnf<-cq0Yjc++BWvBv~2qLkb)N-iA76z@XMI1pelS|`gba@ z0<`oA=xJ9b8xiyQr2=I^_=l9CZ(!G>6AAnm_}3v7;mAmLn42Rknh)zdw{?vl{lh*g z5`k{?Xcy>B>v;q@*8qWxKEWq%1+>Y+PC>;}!Kov5KI&wt>BMj63D7Fp(OmMx?2vv3 zRb;$K$e`=9;;XqcD=NX8d(24r}{=8@=@!(LXL4rDv`wx)5KmeW>}H z1)*fIbuTB$9}z-lj;pA)9K^VUuRNkhaUwkAB;V3kA&XQr%_MKH7~fnxD|=N7ge}g% zCW$vqG~bT@o@iB@O2Wn+R8I6`zF7h)=Qq*_Ey*o3Ony76t`?@b-b{%TxwST+gywgFMM+&2LisKYs6k>>j?xtFLh7PHV zsh-IY$pR2jqar*l79|TiI7cp0G2H830#g$<@DVm`9ll5ZK&nMAywInH#1mdAqFh4? z?DcbqDtWeDDAAx@F^jtl_Io+%Vo?m>~yca(ch} z{PK5?o91G`PACZ{(v--pm!yc=bi1@26iFLLad|RBhZ1~+LTZ~OJ?JRJQlQEO*o%&_ z&Mj;)YlH0-H#Y{or)>CRy0h|m$dqgs*riK zQyHh-Q6+uv3$!bdD%FNOND`R9kwtW6_&q_zI=ApcZsulkHf&~TrZ%QCCHgwoBJ@&N z-_<4d_gT*@WbhRo_oo--Z?{=V7wxB~deM&-YgZyi^eBItts#EdWUh$*iFo2p5pv}c z=|oa1rY{(}Wo53cL?_u`Z2J8++%au7cJeLUol6oZV_-2IOg8al>vrkYe`ix?$14D zd}Lervb-s=?Dx}I&w-SYC+QfnxUO7U(E&?ymu z$iSbfOl^ehPGE!Qq#H6|!p~(j!yT zk*|{NByPOmALx*+aw2-RXiI}?3wS?ZZ6YF%8`CYK{XYT&5Ww|Lxxy`Vbr80t>cfs_ zg}{O*eJeqK%4yTsMtAQfkq#!Tymo#}ymTbZEakEC#)cUL(zP06qaod`W0B(7A!i!zVXYdbLemw|LWp*;fJRC@=Ass5 zHnlj#B&NF_#vYJ&*B1Sy*r)(g!71Qor(A!9pPT)*LW|+!j*4}Dz=&TN?L$TSl!oIH zH}Z1QDTcu|tgbDEOwOx+;hp?WpxMD0gq?!yhO`^z?qIWcZb3bFBn~PWEiZUj5**7{ zLFP%w-`QV5-h_gAXv)Z3u=n_kDGlGB_zz~#1eonkESihTptkHoWV{GYmtDPleHem0 zFD;0^1uvPRN@km5!A0_3Bcf8+FKQe9KXbt5uTEV)AW-d0YH?aG|{$WKwPFwS_0f;N`5R zp9twm`AepjF5u1^iXrgMSSLb@!hLJ*ZM_)`s*c{W{GrWeYvYKC+#@&$_YNNZaCfsr zLA1GeqFB|=qAZQHi(5jA;-<3D))#%#fD+Ite1HZA>LFwiy}?*C zR+jMJ#j3Vcmq1CE3K%IJVu9UGd5r+)T)2)ymfdJuMp-VBv?mD@<=>hZ4dLQlE=${1 zKk9MEIe__AhW8jb%u)sLf0-7Ae?`QNiU~TMDiF#jG4evUHk{g}K6^Pv*Cmnxc(V)p z84h9WUfr61KMwOf%F}=md;8%~LUq4S-bdpB;>*To2KT^m9&&o+2w{KI=;#%(laj4a zxByce72|-1gEmx%&9BQC-tlvLhI5;!%A&A{5A|e5=C|_YoA$qUCGVAZW(*y7YB699 z+4(L4OS#UQf`{>yh1e6@1)<@{+ZyO5#|BGps;7lSxblWn;&2&7u646hPSay}ECCUT9xo)OUqO&hKa_dnR+y{I zJgvH+W4)K}WYp)>9u1mRb+Zo0nd$dUFC9Fcq^+>naI}i!*fT!9XLcYe!^W2K*RvS& zv801^a`K!YRl(9M>7Hx{ov&Rmex9@TA|@CU&WWY6bhrGg0N|fG;PDF2XyV4(53TuQ zNk~D|K77LzBy#Gx-M2(}+7Wkv_HT#BC;$D4TVW{>4B~x+Y~a$&$mvpt3V*8Ct>U3L zGK=a&Yj!IK;#2!PP_aZ8Md?LY6Qm1|{KEJ$(0i{C@gzuMAGh?H*sGL6vM zhYaSePWZshjayzdu#&(FBJkbKd+pw)ryf0yx_1p~T1a8Q7(r@1HY-2U{7(2Fniz3Hq{3vRY=rLWEh#Dsid=Ot! z++#FS3_UR5Nc*~+5m|gcK9VL1_PsurG*ZFQ z%>(StJu*euFREh&tu3F2j0lr9I@>7szw8|3JG+>vyxnT)-)C3lryyf+YWv5g=4<6b z{d@_y?x0~#GBV<|SYgjuck{J)=>7@A?!bG08$b_}aO?j?gefK6 zaMQAUi>*#Qf;g-Rz6{A%xPa+uy541%zysHZI#5z9hX_yQ&*5qt2X$Cg*^I!U?l;rH zzZP;wp64E{xTpYq3QibPEhKl<8v7OzC#svN65H0x2$UYNvM7RSr1`qX8jkf^u4iW?`k;T9>6aWIVytu)1d$1+@hiz6 zHxKD*9hJA+5jQEuSe$UheB+Nl6gn-Waj4fKWSK4>b%_mQA5F>!9KSd`RXuXnOkiCm zMX3_~fF~W4S`~FzCCg5z$Fd*o+yzQDe63^*atgU@)J@#fMR=97uJP#nfWWVc4~If+;)p^*0pf0D^&GUx|2&R&i8sdO&h|*{kSV`$e8zG zPc?eVb@Ie0qBTH0dp}#D14U^mko_yVp1S47i~jX?+MQg63#aQIcYDg?n%UD0s7xO` zrpJL5&FkjYG}7%oGujw?0YCnT%L_PF-lFef?ap4~#$k{QGAY}^zH~y(WyVP0ZiYt4 zdqo*Vo}jd4MPmcr=&uR?@&1v)x3k$IUpMkBVV;z0&>xn6|6FFRv*f z#ulaL_%YR}Q86m_B0;gJ0!DTCfl;JaZdf}3RvC^{ckeU9ESI}2PNGI=U;9Bl9dFJ< z^WoKYOc4aB5jC*L%{VyFjK42_Y$%jZRp5ID_eOgUbbak6{`}-0z|dzv6Se(l-eT&t z+H1{l)|PEdFbXL#LAd3RRLGNy$o8sdVd1?57l}&0mb1KjRRh`x>H8=*cd1J>Q~QSLfY-Sn zU4!*u)iMydtqMn+cSE~<4H1_x@1WL$s`W>~uCzgDw@Qt3Hke6)5G3-&vIJkS&P)r= z8Bb`;hTg>8u8V46_%^NtbR-4U#$FICN%>yV5%QN0kEp_LUR za$|#Io^hVp5l{tX`3SbU8YX($rsN#OrUn+kZ@Svv*jNZo0GQlK8`}_=oB&+_)*J=_ z4C@~>2`H1Doo#OnK&Z{_2JWQHOb&3Y4?~58wej2hg$%^t{0l$3n-hCd$_DVz2TvzJ zt<7zfAG4?*{(BlDB|y+W4gOktQ8KR%8wpEtd(u#@?I)~XzboRp4`Q8j?I))G=kgPp%gY>e^7r985}{Nr1HdfaaEa2G*d?&R@`v=%0BvUuHS}zeS$F z+}zZ!e%Gzv>Px>T1~*3#%}fPhe~f;z7RS!*Y?Ym`IYRx!Lpu%z;J;tS+C}N&O#wWlcVQITL=tNq+DV-~2>&{ufGB zkNJrc{`!68`BgVpG^3{01h(4iV*~s-j0Kbc{^>Bb{;4wuwsN9={iXZq6RQOLm3`<7 zNw8;n+k^tdUhH#ZSYZCyG{2#+ya8iLWp`s@0#3)!_`Y83yP{$n5df!l!rs&8{auy< zz(poL^t-3b%D~p#_*!&d@$2$u8~IK7)Q|WX&K49_6Ht=OJo)Wa{zWDKRrew{aqH?^ z`cbE3Y90CYx`&U<&#%GmPl}C*ffX2?`up%Y#>foF;aBhe%Z~XAI`ouhg$Ya!?!@lD zvfGH6@uT|n`|*7$b=ub-zJ{@m^~+2vB?rbf;s<`^hyCM#&B@L2wfwAa_G35y+wikm z4jf=BK-``ps!e=D5OvgyQg(5x8FVw|CrdGu!0jR`u`G zbCOOT?G1F9EBkah$6JpO|FJJjOM}GlBWCN154?!>D{5 z$~Uoa5U?(LJnv^aOUC@aL^QBnA0)YmgPg5r+?&g2K09!sj{&rylF@|OL>m0(mW`P73)^I$oH_QixYXTa`b%|wia8xUE0{_t}Hi0T>!QZ?q*O9*1NCc4a{0*O2av$$KZiEXPF9~OeN=8l(2o08Xt zF-M}V3G7wGGUgE%V4@>@VWE%C*TA=&%M4tN`J?0B7WSZ4*-#9J*REkRQ*M$ z2Tp^wQ*D$&5PlJbDCtguU(s7?RMH&Z>Jt8VJzl$z?I@ zphm9qI*>rlEIUcuOum6BZ-9A-na7s@s4%}qK)uhANDp#jun#9zbmHk~+ zO>DfjZ4aWf$qI!he25B> z)b4xXVsaI@kc?b&|0X0?y?~st^vpTIUjb|53#I!0clXtkn|_!(5xU9 z!>#?&W=Ex(nQpgr1t%1&1i4$b;P#aWRWSg<%uQu1L4cNUi^0NUXP<@G^b!Vi%kzoFgiPzp{NGR`ISC1(s{16$Hq_2}6 z0CKL2SQ(6z?r8p3qV2<-sS`YjYM2R9_D0p|x#@N^>SzeqFKK zxUjEz(9>Glv@aZ=M2c|%pMBo7fbguYy68^?4Nxe38BgKBN&?5!|(aY)iAmGolRn?uY>%Jm*tYRX<6{fxuei4*Un+)l;ho&i z)yCjkEqK@?uBxZ2c3<9vkIw4tfmf;R=J9s~jHzh?>8Fj4m3a&{^BTAt@l{0kBk=%5 zwY(qtnSj7tzE@IOru_-Qlmqn72I zIW6>Jq-1xa`=&LEcP;x=-z$n z)r*xXKZ(RzJdsa#JKl-{pwDw~Ta`jyUSQxB3Jo)!9ytU`%(>&}=k5J982EyE*Oo|o z0~z1|fCCxD{j+K=q05*EIX(EYzdoNGpVt5bN%=M>3e~bD9g59S;Y4aM?pgZrfr8H=D?vNoMe>n}v z36@7<7#MXqNfjbnM9RWL{+huQy{315DhSh!@H0rIi7sR=-`ID3A0DN9QllWx*NhT7 zB|jh?f39w)!XO-g)W1~u+!d!du?V@}HB0V&e14$+awEUzGt5<}a6JGSy;_IldPye~ zx8ZFA_l61$rdq`wfZ3hGgg2(m&5o9J{7NcPLRPwNvo{zm{2u7?N8?P zIZ^;Ab_bXH7mS?U9$m+SsK7t_&(0nwdA&{_->4qajB8D2Y7%$eHTbu7|5W@zya*TU z-~q;3ajrIM70-v9bM28RRoQt)sG{Dh9UFG*!vre3eO8n#52@U6B#pdIXnpRTiLC=$ z46lpWEifa_-=G{Oin3ZR#WU16+24{J&0l|W)k2D^iaKs~3irxl7bB(gaBr$dsd-RH z!=pARY}K3v^7D#J!Nnx8PhfB=1qaA(u_a#w!cvf*DKGC0iqrff)MMIn z!|?TMg*lyvC{Nj;jDdyob>iMHz~!<}kzI4W5-{JGgs8?q(HpgrG#aPMODT4^2lQL5rvUPxqmhlJz9701K;} zCo~zQ_pb6i{%zg(QjtXvfUU?$1;7jsk(D zj{ceW@DL~)8B@gTQSm={MWG|NyjljlkFpa|rVy3dJG8XwX~rS>>_m%sOyLKiR$A)+ z>`VJt2OnHBe@l+KP2s?|j_JFkMxdS<{@D$}+#H+IEs6CCGuFzXrD1*A2>TuNDhht$ zts_jxEC@aMs2#4^X22q;jZ1*tS+fqjg~R$S&&8xhFV|;n2Qa9gK{~)r zzps?^fKHvm#J>Mj>onaAgjVr_v@i$xf)j|G2ooKD(1#ORzbSe$eeF=OH(FHonnePb zmucX~i%^iI*0(U9D_N0rmL|5dP(`zj;ip2VNr64ih_VG}YR&fLTWxM5?nbwik;O$( zS#2VoJZt9Kwv>O6rDrkH%gYLNMlOEvbxthr9cYkF90d1KpQZ9@C5rb%7o{ovV0cNL z-oaA{Yy}^I5Vp|EaMjN53pfVrTVv*3mR-c(cmWFCK@Z#)n>dV}9-uzmKwKz0b~P)< zY^wxYl;f2nkg|(O4nZxSZSC2{U%&r0}tK_Asig1RP&A}OH7STLErLADz-8y zc2Lkjz0=rKiZTSPDzPejzwoTVqhRua7e+J)`BAlb5#VTvG?nOhe%=VM@BXJ6FMQ1c z#P{zpKXEQ$BkUTiV2HrG6{(`74=K@!d$CSW1Wd2DCantZf*w2xH&7rCT`w)gHb=c? zJBF`+ne6%C?JT1DXZ=v}or$PQja_F`V$nQTY`JP|vJb6n8VDdonSQaz@W-q0&8lEa z`%T6wX%kJyecPWFQis3vYQaayMk5Gtz%EVX&Pe5r3E&?Q|1_zIiu^ax+f2=h+~e%v z%^UbU6hku!ly4o4B&lvJY+}Zf9v7HY<#_f1OEHA1TrP%jk^%H+^?OEuDrpMmgIxAkgUL#ZNjP|2Xr)n?3E+;Ept~9l{!Mg>fHKevzslh;{#7{%D60{5%GGGgjrCISl<+((x<)Q!n3n_<5UoivF zs4zffWXP!JZUiH~S;osYNK_rBF_&dy;xHp=KSMVe05Ng>@FFm863?gvamz#ooV|1V zG(*QKf35!F+pg+7Jo*>DxV*iCP0)3Itpl_vBJE!>Lus?z{2Ho0{|E}!cVNhdyT^w* zin*=4UF1_hVepZ&L(uDqu}UGNY}cSDYAH9y>8$)%p(nKv);=I%5S?rX;1AL$4LEe( z<|}0!;))ax2o1eS#4Vy-Wv2nOOd5XZ*Jv4jM>tYtz5&c*9<_UKQ{g)>Oxw-3)Rsg2 zXQHS>Vz2YhohY9}87F)EjxjcWcm!jP345rJwroE0zF6CumuquyECDh(gaVf&d-6OAB#+>!!}iTM+aqN!~Xr4a>Z9~erZ}`vhWFO|JEfkgO)i&*IuX##Xq$I{D>Nl)%I{)c zvT;6|maJD0{E)=PVo(ZLV+HMKvK~t4gYO?4x)`RCT#tCm!Nj5f*J&CxuK56>&g``a z5dKkn{!UiGJ9oGU{k{bRE!r}Mh?ouXF7-l=X-Nwsy9c+8_1lkmy%5(CV{YF0>kP|m z5)>SM?N?aPoy}f@d@Y%+bl{UIe&L-UZj#K02Q6%rziwoUfN$zZaP~Ft;s^ zKxPbLluad{w3w*qi=m?v102ZRgRr{zDJB%UR7Z9Nxlb))9cYlVTFR=m;| z50x;>nbJ^mp*lfbx}WG^7Jh{lZ=Nzr1)cz#UToi0T@UW*!sQ*=e2<8m0aizC4_$LQ#*YMQ?)lh#V+evfZYm*WPHt}ek76U=mWl8Fv2O&b%#PC`S(--j* zTn1A=YvA1$+xyPXk%5QMGhg8U`F!;r&80;Wi@RQeh`;paBOsN*snPS=y*0^gMOq{m zC-WOtkg5hMz@Fvv!qZ(x%fu2u?lK@HbaFNpZQ_uh9rbfhhN|t5xz$+8K};LzB2dc^ z#95!Ghba9Cn+8QM^Sw5#4P>wn8 zN=ha^(c=Z<3bhCGB_fBK11YcfBIlb-PY-1pJ1!V{55jwBYRmmh@zm^M*IHzkf3)rm z8($6R_6(pAXvv((A@~Zj34Jfc2&yY0QcyM*Z2LR*UCtW5tSCHSKl!JzsyqLTLiE1T zZ|vU9Zk8A@(E44$G)}ZQv|;T<>7vf1NTIZ?SQX)L;a_Vu8pQ)RR`E-FVw>@k%W%FA zbz`B&XT}Ts0x0M5lPs&GKl%pt3S1SY-q&OJrm`?!XTJ9R7CysaM>5iM?~@!*@950wKMvO+?=Qy=pK>Lgyi#erVLNKl>yDb93EZ^K-%GPT=^Z2CCJ;XwXH$#Qn-7 z2$QK(EU#1wcG?D&7X_;7!=sgOi6(4X6Xg6^n;;zqfbTRc5C&33I{fYiZf!WCQsn#| zgnbxyi$~V$cqj+rU3>TX3k-Pw4T2m6DA{);x5vUWTYE#p0#d%zq$$--*Y?H`t#THm z7l2M=mhKF(j=}awZYAli;4F~#wCxfM25QzcI;(Ao6X^xTeZ~Sn;l-6cKce^&Z4W`{ zrseS__vFf0%{4v~`{VECQmc&($!vz>%}h*A9dJ_vMb6MrJl=RSg9Ap}QkU)Np5ZCw zv;!Rf+ITbu{`r{(*b27|VdiCdA_41eE=8qFV2X>ICCWrqmZ3dojt`FX)LRE?B_6o0 z{Ptc%FOMK1`WDAO&adOsVqXvcMby`XJx&ldQPdcKF9Xb;=3m3vVUx1ntb5H%!~I3B zr2Yh_!O$kBN~x{pHj?IHh|8|UW2Nvd9Y*C_%(GzpT>@%F3QpVenp_vu*VH;CW!Jq+ zeGk18dz}W{0Boo-_UY1qc!}iWV={C42im+C{P}{1zKbcnBW3Y?Si-wA1FGLYY|k(( zbZ%vC9H1AP9--qB&NFJs>VW`wJ%wkzlV1o}Q(nnC3#~+bG7O#HN<=M5a-z3ssEwm* zmXZb$RzfSt+RMLzke6gft*Xx^J=B8%0s`adnI`G7@z#biXk}iKWMV$RVBJAdHdUve zyNhsl@{V%#XkY`28`{lSseYY8w}|;&hDTY=W>TAiiK;IdKec#fw<6XJ|B$vtn_)m& zZz;IG=pWVkRFSzWWnx{Cpo0o~U?$V-uULw5;gtbiRC2?Q!X4FU7Xz~<3P;)duvs1^ zoc3mhAAH<-HCL7eBmTZ+^b4lQ$gK%oJFWLJrb~Wm{BLHwK0`m@s%qa?&pa7ZuIUeCI+3q&MgIS3kdO?9!ba;Pd856TJ7qx*nEmeL*1Op|u z0EPMCI)8L_B^lvqr`)`nSVvg?J?0uz%9cc${H!@sXBQyIgV&@Zmn_^N^k>e3h2u(e zF<<<9+3<1k2)!MX((sVZ)Bm6dJjr+13KVgder${|01qoLfo_t0l8?egR_3rF^z5s< z{+%L{rKKoHGZEBqIeatJIfZ+|JnTqRz?ue_CB4X~OPy$ANg{JMDjSb~M-Jr^F^9LY zb~76i?=O^95-TxTg>QV{Li`Zw!M=yV*=?%#W32Y zqXKx#J5}%Dw~$a6*ueDwAG2W`r?-h}el=%yYmx!cOfD;=$bpRJ*enRmV0?Z>NK%gU z%t8U4bOC?O@Qk-yVy6Yq=kpq~Xlf>CP6ny6|jr*|zj=rPM%?Fg6bw4%fz&DuNon)IklrdAVY59SIOteCb0 zET-haj63Z|j<;U~r_G8(*u#o%+sp5BN;VgYu!SYAm8(#%foxvuN);qMs5-a@M1As! z;3CBLZkE$!JIIrILwXLgW*@fZH`w8llq-@gFIJGA6DfW_t@>$6JIinGzS-q3l5r$M zI;ipq9z#D~!||oj?RFKyj^~XN$>_KJ2YN>{9$8u9i@-;FiU6#!ahkh^Ug5w!H~-6^ zwTwGFZHz_OWg!pNTE!;qtnI{XgyEy8@akbM*0cv5+b9^1oGrch7K;Xt!##K-d$HFP zPx`YsNyfo@l3Qdz$DpHb?R_2>tj~8b&q1@~tOj6pO^=(^f5P6XI{Lf;aw*e~U;9Lztv;dT z-SO3axFprYAB#EX{t=jP_Y9Bk_WB*0J~aro+Hp-)YCjXteBZn^_aW?vWcm*a6BdMY zh4>pJRW#v}WzHBX!f4=?8CsUa7kbn;!E9W;r#)>$yJCYqlsDf>$r;3yY7U~)?~b@_ zV8RJY!T#*XC#Z~i^#bL?po0KpvSdo;4@!#qI_|7xPxFDE_39~ddX}svfX#I*wu+)- zYnacmD@Eea$MXSRYkO=sj<0QDkGURrZ67e=csxf>3 zM+Rl-oeQh;nWc90SqYv^XHBciLD_#Dk__5u*P!J1H+J1A2>! z)5;n(N)q`jxpr_A5u;b_**OkdTSi4t_PvRt{h5{}SMu)LCopWoUAXmZ5f6*j27uZD zF!{~$>qlG*m;RJAw{vbrv{|&LReZ2U@rIItI&L${pXDUF^`)HoisB)<<)ldaFfHq8 z`K%7x>>hj&r*;KNP^2p-MJ7(ey`6D>A8}g(hzUaFPI3l4ZSpqn2%N^jDdX4}cpMm! zDCvDaN5|Ko?AxUGiSR?<>*K%`@X4!vhS*EU&zRz)6HXlj@lX^@GI`g?miFG4=5^;4 z=tKN6s%T7rNfULBV%2aErVbG+a{oOXW=^sNp#93yUDWXEyt!<0B~ncvYw+Uq2lz^T z2(KFc;YD!ZPFHHNNk<#%-xbQacLZKR#iV|4+JVwm*_DEJS;A7GxILe>Qfg`4$Isi- zeLsc{WhkMC%)!<%UcVKD&+fA7epr6~Dq6`VVxG_Q9`OleI}aT-g947O?7?0sYhE{2#?!1T?gHrN7oi9M6Dcs7QNxZ1w{Wa}Z>R-BufCkDBSjYL+Ggz!cA zTJ0Sf^sUD#XZ{B9r8iDCgXNxV)ll_c;36NmdM*Pv`!~MK%W)A$e?h$ll*(IDh(`^F zR2;H64pc-vxG-ZAsHvGqBm|C+wB;M*O0|`pjfA zx0jP=W&P6;Q?Ec{U>@O&o<{Nkt)up|oUJ3$Gu{Zf4};iJJTj5uzK~{a%oKHMniaOB z_fU;PZ>Dx$pF-dHGV#uHaf5*3v-!enL5+B^1|*IpTBK(~^F6Q6o%meHu{){o2|5XF_{>1r#IND)?J$-o~>GHU7c=vq3;E)V!ePi{K!@(s;Tr+a;n?;ys3d< zJUNHWie;MK!_kr+#3WlKXZ*p8VV07>t|A3@?PG9G3U1@X5Bjcck^x zqo6LCKgZ&HI;y2pRi3~3D~Wo-F)vwBLQ|jJdYPj6_crUQK8idzjYt6i$k4J&{oty~ z%8j$ukpJfC`fp-v{*BERe3hz@z+nVQ**;S5V9v?=vY`)D^(AB?bdc+xM3{9$v_}tE zKNGcX?wIwJw~Odl)}@k`#Bygqmx44K*TS^tLen0%^>Ta1+WJgyLXNDlpSCm~IlfM< zpfO|tm_P1wyJs<@Vez77V9QLPWzDUK%X>?PeW%6wry9SapjyHP@F;l-?h7D+{$ZTGJZ0?igwbyr8_kbf8al5?NHT`2x-k2RV71;W?lNlj5on)V2dEUWp3Ls#Hk|fbp>N634B0OO zXC2>`$2)Kk>l8q-Tt{Rh_dtLS06j(oInI4NlrYO)5-WvYYJALzFP9O#?t(BdrZfTZ zUX~*m5-Men4@!9-M{K^Ns~kn!G(k~XX7=0DP?RK!5UK3N+jLGkpUnFuQFa!Erl_Os z)S8O%Z^_Xvq&j};b)foV*0Xv(tF1w|C6gM6u4MWbDiZMjuFeF&&~O`ccGsoAlza3YM3P{Ur*BYFB~3GQR^&yJOpp3 zM-L;THZN{9=us8yH%ri%HPkSXf6R#6<~I79+9XpEAX`S-SK>-7p6f~>>KfmSM<<-4 zyzV_&wegQ9Uww=Y5T|Q#;WRmP4Ja_*wDd&y_b0j;B`YsP)okNk2PEER9SgAZ9G#Zz z$|DWW53pB%szv&3;<*bPo2e*LC{G%Q+Ns0$3^={RW~x0Bok*O_&Fl?>B7 z2lZ##&PASnubp^ZLF&3oNnBCTaFo5bhS*p?QOUoi@*#Bm5iCy`nlRbbBhF%e>kbH) zO|A&mq^j!#K6~(%R)gV5|2rrdoZr z`;hz1^cuDdCC=gtq~#3HNDz33bBF{E>mvBdHP$-{ADiC;@f1a^7g^PV%Uyalad z;$`XHM35QubqOeH?bnUji*GSDQm{xMG<>gh;M2Z@+Yo^D{cCiF+9GsU{Y*g-XH{CW z-+=WwA?gqlcdul2sDQ+_1xhVe{yaGnOX)2oQ~< z8NJ0J7G;tKZ<4!RVh1Buo?|!-iMsB(ZzWZ&+hXE;+{5r|z}bRGO8_JscbD~zh`ca( zk(SLO=Cx!KD1I$YnuPiD#6KV#ooT>-orK=k)H@u_0{IR4#IVEHGIFPOcyrP2kc~XA zl$uhno=64}L)*8ZIUh-wIOgDiMC|P8p*lBqa$(MdFB4md_DS1!tvve?rkR>j@2kiJpS-@rcuFb9vHLP z?om7;tEmrzs#Ub^7X%^j_iucAB1)xF%IninHDc>7IX=oZ_r1=Y>{Irpok<14V{Qc? zOa?x@n^s-oA73p@8In8jUPYxe2PA*wgb$EhX@^Cl!9Q6Ttv4(~027z;?#2KU;b20C zvl06gI|4Fql%eBn6@3_O1!Y~*awNhYEqE(G|Ls1aLo@p95;|d%f4V{fhr9B9^nzOH zp|~H6Q64oG^-tt4I1K#YuEc2i>&E0ki`q;wWMjZFD@?5?P&&FrL3(Hjo1-WNq?c%0J znTqXf7z@ebdq+d4U3qb8S~X6Im%ha?WcXp$;|t}sx#j|t4zTP-J?<~)hKE{4l|EtS zSqf?A|IMe20ttm|3+p%%kb2$>7mJ1t?$6w3ek)8=2Q^n9)ON3N`{01u=+TyI*xjmn zO=YoH%5t@E@rs%gBgjGJl=jrl4Lm-FV=q9+#l+ko-egU9OKAGA11RlAD4rn7D;l-0 z>>7c_@SExIwyjR^yWbG7Ze=9ONN0<{S?ls@Mb!f5byUl%4b(D@d=_Hd6v&dJayJO5 zg+{;6*EhbWCLIWmmFeJ-_d8sN)zT0aEEKel9z875xiO4Y)T~&H?vIe@CN5LLXMYPm>NAvxL6|likVlOX z9k^I7D6H#4#Jd!!|M((OdWOA2uMjry-KjwVW4e5A$7x(Wtf)OX_@?y zM2^t<_iZI~9Uw2@l32Z8sid4_CAh?Z zDucfwnQKd@G2~z*T=pcIs*@92mOoZ8^2#mQ#nC#5CWOU6rGH*Mszm9++rf$>)~z>2 z=311FWD#LwjAr2T;_$_+hpZT#gmikx06~B+fV_Rpb&aj)i6-pk<<|Y3?fooa>?YH8 zn25cP>FwzwW3H}FY-Vfr?l$RDdEzabgafZ-Nerv0%H=S#1#tOy?XmbK;u0jn<4z;P z@#P5g=N1sf2rPHso08+BXEtx?ZWbq?Z9JGqc#_nx9G<-TK>j9<`R`AL_JP5b4_^6 zqP^+3=N{$Bg8b-1{IwL@x;XQ0*w5efcxnZe41TLG}RH^s*grd=47JS7RUIA+az?TmPEibHfM^c|$iu#?Rd% zx4N6{%=9Q%C)pB!D+^(e^8$m25nn`!4Y!}-n5B5oiM{WFb<*xi#OfY7n^E22-(hW1 zA$Keqc*j-_T3nDz!MjoyfjA^5=;|Hm9miO zAP-0f+rVMz^T<8Wkna)lOGfo7AOJu1b*Sh0S;#p4So%#Up#lbB+R)gGNyBXZ?Z5e> z7bM_Dg8L>={jI+YxSKE8?>kfkM{r@ezz9F;I`atI zED0VSR+7t@N|Eabh`d{qdHRT{@{?C!gh(cAr^C;u%nU( z*h&bf&=sVbWpI0rg1CF%{quBA;_$q*?7~?ptayr*lCUNY%faqQ#4LVj1hL9nO+zZIFv zKrev^ezcI1S#Z4}$T1^+;4{TA8(keOncJNSExPAb2$u&gT$c>F#Z+lUX1#W2Fi)38?t0Iz=(cA#-!!IRLSpZ7+U0am7M+TSW>-QO_cx9fl)TCgC$S?*n)tw zu&PFIcAc5O+-F?zJ21Cs*F?=VE41xSLJK*P)0pYdWwn4X} zO{*%4xshX4T;PRIH?S}K1_m`VqG*ptImY?64xbWFfoG8Fwc_k7?ZX5O-qMS7_F}Yv zsk1?zZAzqtysrY+A;l;!Q$m<=zBf^h!-^NZ%1_I&pu4NncwGkTT3i%u2WlBx-z@@XQ8n9;VsA^okH ziWxsf<}+SRaI@&RC6CgD=W*9|1*^7+H&_nROLpJl>1Qa*LoZ!>^DDyoCs77B3g^3{PpX+gr$k zE!d!%L79K0GXei-2Nf`Q+j*vgaQv!q0=CCrmI_U~r63|LOfwQ&96yf)JW%8$2GGSM zrc(j#$Lq*3HwwQt4N?ZcpbAEJy(lJHh#warr7pW#Y@4QR5L~j5w%AdG*A|Yt7@f&`f$K{nyxD}M7f^QXYRtt^sIVBEhYHh>96e7Jq07|5(-iF=Q_>55k@-gc(hMZt zTIYMv$W>c(E^UJm+_(Z#D|c5x`KzjM3&|W}CIRy%6Se_J{mjhS+u|@q4nE6TdW`Zb z#@v(Q;PD+mlo`$vdO2O}p zqx%tf8Jp)B)-uH0Aw!9xZYa#*jxsfgkYD>-5)T0qJ-G>9qqD_}N2Gjsm`~b-WtTXz ztm7s1tS4gR-9`vVT+G?a^bjVXl{orXy84FlH`wL#okGiE?MiPO6WXRN7SyO@C`*4M zeHp9iZFHzI+F;ct>+fEoEgUO?QbxRFv(9n8?3bqEqc#FN!{V-;t>D-ZGWCK!GE>Dy zSP+4#5^lAm^XXFBI$r_3Ts?hE;?mmmeN&RKx7UyxkDt30Q;6(7rnehx8rg#Pt5P zqE_@=Z+mxci6;e$3+IJms$jFckgDwgbnXr3#rkHb+6Vx*n%eq&xGm=`Kc#~#E2i?y z^h4ZKrC5D2MLgFUR;8k-4aar$ElaF-atxahSBF0mt(71#0*hog+7nXZrXrDfAG)SK zlOrRStSn%XeW{(G)*6dx@LUgb~$QJbUPYlEo!m{kNOEiiCF%+xChPlT?OEK+Qt0};H1pJY)r z@nf$@^K#`0?bt+(j|y=6hyV_DJff-)d3~DWulrI1tC^k}x|GP~p=~*#+8dqq9-BT3 zyaxLDovy#!s}g1w3`owXzl*6!v={qLL54FuBsFbjuY&`hV}jxFljZXtZO*Z_C_533 zL<8)HIk6pKLWu8kB8?}&bicx#QA;aOKaUN%H@ zZ<7n%0Vz$y1;Kn6rZknisSCWxS{l7NOyTTm2&q^?k+X)xV?4^T zI{px%qyKPdclEz$ASB+cnH_ENRU?Q@c8+wst>mwd3m4H{%9n&uyh?x8a$iX5MECLCrIf&_c$p+DKIko4j3ugRFB1Gln-r{?*B#)sw6un|>hxqXE4 zx>DbS(n51Q&J1k0^B1E8P5fL%z*NMI$6XwYw;`kcIlM~j{D@pc!Y`G^jcXjs00l7I z$2$3v@hi0D_IFbSkOj5xVXa+5$*uIeYi~&9Sc%7{PJwGaiYfN4ueqSm@y;8OQ%944 zq^7=N{spNLX~t85`5(s4F-UYET+@Ry)*0KjZQHib*tTukwr$(CZF^?t?%lg}f846w zRH~9xzH~aNN>}%nx1Se(en6MTBd&k&JE@$t=LZWke4K(eOW(QGRBYIuO1K*Go1Szy zQj71F7=WSateo6J-Sl=ukud;>L&^rjNs#h_T+pa}+SfsRAo5^Ew3SfSyYtSI*TFBPoz}S_>Fa^6EpP z`)%FFc zJ$!u+e0EpcLQzSxag-POXKZ>VXGM!P`(V%8DJXpy$l4;aUxdwxhcvrxaeZow!FV)T zs|W)@4*V5A$Gh4fgb~cumdWn9Z4Ml&FD0=|%%Ql^DX~l_A_qr(x&%V3@bn)VE}+|+ z#Q}DDv(O>d>*ccpigPV^p$6u|a1i(zI7h3p3vWVc4{Dh46aQ5)eW1ZOKh`M4doNp{ zJiWJ$?2Nb+@`YM)Ct2)Oh0Y)E`<iRXJa zv&VT5#K7QrBH|m5{pfJYpXSB`#vihs;81+}95XQ@Zm(l3fA(xFCtI2_QRiM6>#zC? z07i&4ew>YcMxdM4&%NSYP&b_eiB_j%{y^vK6^~xQ3pr4EnruoAi)O+AsG7ypc%!v+ z!?QVAWA?eMp1K%{D-=|Mv~Y#I-YoTnT~n{~8|Z~=6W7yEW!$)bzxI)wuNLh>5?IMR zMML{e`>Tgwb9%_OIb?x!%d}L{Y7*L8QKTOQu`u{Lir{&#C{nBZ3lEL%ag&*QMGY0f zF0h6SyoLtim55J5nM-=O*!vqbBymdRyzFgP==`IT7@L_9b~U!g(_uS6CmAd}96?Kr zXH@<57M!!TWj^^*lNI)F!x58vbBv^?uM_=gRVb3LG%wAS7C!L<{)OeoD+kwNfgRQL zmaJZA!wfIGS*qmZ@e?N-G#sB)gYY4pJ*YaimKdh^^H-mW#W$6CT7xj2;XeI*IjrmE6VktnsZgtM#xLwjty7 z@!f1E25Do9+E)SzWe_uS=TGiq=pIK@wrtT43NFMF?4n%=+G`-FLD;XeSSc7U0^=#o z+f~N)4%(m_=NJn1U*g<0RgOre!FKUh?$EfTQAvf$vewU{H^HjZ@rO0c(R1l33M8MX z$)R>&d+rf0XCyp?oV9O&v7{29u@@{_`%gR>xt}kR!srxvllk~V!Si)sPxB5(8>RpA zA`>QK4&q9}2&ql+D3|(VuRW6W z79#tZPh@>xBUB<{>)LwSJ4Mwg==JLCbbS|hhl7GuR*4{u^mY7H*|Qe zu;^S0Ge__Es zHZk9Nf?4?5u~&^8zV@b0=y^fw%fN=z`~qz*31-_DzL9UPm|<(#tRG z7oh46wBNhG=p!-Ya@p7|I18pg0V*$+Se2K?dV`g2JPI`lcj!O~RHmtiS7*ZkhsY;C zm`#CGYbOzG%dAUH+_)0$Y1!|o;)Ofpo|}9>efC zD_vJ4cyd9qO+PuC0W!uCymMHd(Z-+V$+4I_{4r$gaG0p_7BaCDQ&n(~nzkCUnFj9SsVmVSX(%rv8enSvmjX;saW|tm zpZPOMfLY0le)b4;;Z=lHjVjHME0!mkeSv&`n^;FunS<=JP*9EQY?E5})oENwfq2D2A8y4B4@cloi zKyY8TOf@Xjp8GF--pkVZ={h3kEBXwY!--R@j?cG&M~!f1+s71gm1XHBjlFPi1!V7f z1DcH+bwX{ehfNUU1yh_xIs<946W?hOX6Zp^q+>av-2NfKxqM&aJSP$#ok7!$%^c{6=2UT6iLcB15WQ?Fx z>4_Ngi9lh4B~_^z=L;+qP$R0cnBH;W6#LID&{kjvMheLeb}S6B4Xq)GUGOou=%X4M zb2{1}>!<}2cBB+Tq0+(D(l_s%)i1fo2DaCIZ9#}dZ*Km#ee%N!1pAz&<@!~4h!d+h zpgo+tpXMfub+iw!>Rc<=#nVJR`pE$FVPN_0SquA(ygf%NNWy@0wF3(anxzy4Nuk2X zi7SA{Ngovm=eB;*%nQ{L40v_!%qOqjP1wp=i+P=)f76X+BZmw-e>1Z1oE2&<-gA0>;sde zJ8p0Fl4Cn0NQt?Lv%^PXzP6-UkQCq^UJjbz{Y&L$o7t=*zN`~d4@{Hi!wp=$=t6)V z591RLxeNi_3}Y_~MNSm&9ZOcG$4#*PBZh|3%}!);ZMImsvxp|ErBWxUM}`mC__X;f zf41;@HqJ=YhcFWoVj@3FIfQg`eQ$^1Rl*BcZ%^cbZon}(mz5G;q!x7m!_57;n8`sP zd2wGT?)Qn(-l-OyMp&$sMXu8z^^n4breiM1?a+!(_EHV=xsf*)NX)kK*Q?1ExI{6- zP{mQRBo#84H9Ml&ZWnxlIv#?hu44zZi{-uV#g<_OL_i?{|Bek_U5c$pO{E&&B?uc8 zeu0Bq?&gzA_W zQDML~zzOqhNIj^pYAMG7WYA!}X=TUGZ9LF9lty=`lUTNSa(f`^0T&b~E>dZ(LiA^d z3w*4RP8te-ef9Rtepu@cydbolK$N!DcYAyeQROOc~XK!qmAu*E)^YzmgWY z52Dyq+Q~SrKIx?&#wz2sX6Sxn!LF9eZlMXH461(ufbQY7N~d* z&>i&SGw2$Dn8q0>dlN=rXv&o!)A71B`hZ&W<@yw{BHb%xAYC-z4RGT=C7M2B&C397 zUKkhDkgo|B2{!~Xm2L?83JoQ4WykrAUt;^M@a1Yw>G*?GWA?i2J%pr?1jcK51s#Pm zjdGx_gq8qZ>llcTyT5TY>%v=TCkdIY{BSh?`Xi!ADFFuEFB0m@9^NGa7UQ=OrMa5tCHVCOb{+65c6hzfRjoOEQZbq*5`knlTbF@a^B; z==a)SdF4nN5*Jyxi?F0GeVamu{vg}|0{{q*vndR&R*ja&Y| zZfBirXS(7gr4dyn-lnmCjOUQXe+F8JtiF7fRV&j_kuXlx@qA%&1htK3_}Y}}deck1 z)U;&ylm?|Jk%H((o$>aVhsb8e75@#-(>p+sQs1jkVhtBBJI-`W_V)6gMzG90f+^vN z8u4^lxTDq&{F&#m<-K3wq`kh6bcPDAZ%^sPF0s|JA5{Pix$eItgrF<66Jsh3EKKt7 zBhMnF#Ka6BuNi##8)ARbB2`l~bRovl^ZcP6`e7pwxBP6WW-Gaol}Rip9;f||EWM)M zlPI%$9tn`8XA#WEI-TL`*URy2zTO{-ge(%e`TEz4pZJI=8Hmh{)E7A3(`zY#~3*MU|3(x4csk}8IqWeTVR`5`uLB}o=pf+c8Ec%VJp|H ze)ol68z&YJ3)DENc#fFW#;;NoPLnc#?Sy)s-BJ5Z(OqKb3-^jx0U60%Uk;@Z zuxoR{{c}#Pen5Q9@p^7uYM~F&$6nY?V!>F)xQ{{ecA~Vv;u$PbvH|A|n^2v1;ud2S(sV+K= z04aLTA|2>(?J+eCkEFKz3F@=1EOw;1U4~Q=ol&&H1q74J`m$GAM&!A*R!_?JLlh_4 zHW0mQ0hlH$QR&?M^HvTRU}edh@FM;nEqIS~6b#S@L=ySB4vL;UJ~f~{ix2!1)#xN! z?Yhf6C*{4X$f^7M#dAB-&^oGH67GjVnE&74nnxy{?IyG_0dwsqldO0lXxuP>js6;0 z2e3zPtUnlD+JcrlpRs<}35E-W(eH=z8s>EtW4`BsdG}vdSB1gYXP4D<+W5{k<+*H^ zO=|x(E5C$1WsaRfq`dv%_SF6oU?J&~MUT(L>m!m$m5-t^6?!r#L9uF5scT>$*R|h6 zXRXzQM|VkLJ@u~fc?Z*Xo?KtrLNBLL6u|h`EWULFCAN&lZOD{914^R0kE(;>#E0G0 z>nD$$VlL(w#$mHYO_7%CLc45Eal@LyEM?i?^r`Dxv@=Vvy1C6reC^}$1VkUY6)Ojm zE1KKN1QSyOg|c3){=x2gyf)A4pL&@gWV2wFY#Z5ypnGJ9^q}c~Z0ie(EDfYSJ(`Hh zNjU}Nc0Q!{Mi!J>`Lu{m=svfu*|ByR{%BpyIaP3+392J{RCsT!YZ;$UP>-qz^A>g) zOn1YK^P2Pf%MoX&*Q&arSMm>MORpj1Zw09PGkXBg4P`z{jRt{UcDg^pe(#@j390u* zFckv?fWyF(!ZTQ|!s&oH3^Su0k3GnJJbzkq12o-fm!@5%5m?3rlm}%4u1s6>nIpAl zVUd9^X_m~aV?P@v#UWv5IHZb(7Q!QcoI*P+(vt*U-ZTDEN`R(`iM?oArIbl&P{Utd zwUay%%V4%|CI640nRz5!>nsvv@K+r|BR~1`BmHB^R-dJ3_^CIzn zkV`R4(TUF0$ki-CX%uC1ph9z2K}dps<;RDhd@EWrYSK_I)E$>1RejE&`#<4OMZa$F zd9>{m#?oD6esHg(=v2#6W`MF_X5%%Exu_le8Hjptm8A2tOVD$?W zNIQqWGPc2QV|ou;m8%{EJ`VYD+!`blCT(JW>0i$xxCY7ujnRB_*i3^Ei0)Lk9Zn{& ztYaa!a-yj=kwfY+Km!jj{e`Wr@jEIJelhYgr7tVE^wUkGqnCeyz&(S(JaOqjo3;_< z!l@025R^571dn1GOJzP{26(tPT5b#U3OGc0tPGJ|Cc2+_gsU_$@{@3{m|%qntvYT_ zrFdp3``DeNMAZ(M|5aTVB#FlF=hPO^0!e!TQ5CX#j`VS;hX1I3=*xZTewz+kJDEZ% zrSB;6wk*Z(hcCuOzF5Juk7W*plzjJ^^xSvgQ(&qezA$^PeQsFqzR~;(G?;ArL(0b& zI!urcRn(NMvkQCQ-75R69lo{Mi0IS7?o*z&p#`*?`+Z!3`Wd*5OYhcVb{J!xV-iV- zj+qGzbLK6)8db~Z_xev`?r=76PZ-OjNpb7Sft$s96NRLj|JQgFGEa~=zX zuFqCQybZnQ(`9;&c;6~XdvE2tYUBfj*+mWa+*AsEf7>csjp&3wJMgS*J)3$DN>k($ z&*>o|&`}CWpRWK|he~i(K-@CQ#YUO!k=GXJnzx3FI94uX7o-Kb6XYVE`?m-+yk)JA zKakzWbeeoW6S9taR}ndu#akH^zC%v~ajdNumYPh`eS(lw!eA59bY@$yoo)t2$u2!(@uqYYBs>j%@c} z6G)hmmpt5PH>R$SE?Q#`$C2ka2StY}NnfbX@^Uc6H#cvdBsWiaL*J`Z$e;yu$s=e= z6q$3Iv|EQiZz$Hmd9PxggakeK_uIQ$i~O@j+zw4Y-13+Je`eAbjvFeVFJafzQY8UI zsWKjGM_6~sMd&w_n>TiamQkY=dwGqi05aJvk%QMx6I~v!%UBq4eVED>!U~MS4pBD6$PzU+D)E{Mjfdo&5AwC^fCsAWYzZr4 z^GxD1lT@qs3$#vSz%8)c!HV2xe_9_--9=9pml(}G+S1T)Jmt1IHDox}vegl+O{K(1 zxdI4zTpf5S<#6KDkI&D5BGIfnry#rYcMsXD!gdmN%8Macp))ZEpL&R~h%xk7&}7xN zoh5MANmKqO79q?3$RcE*gQS%*wl;AzWx!*nr)U4KqyLT~WM^k$`rjl%JV;s*GfPKf zdpueZOMORUA!9=uBV$M&9!LjAdt-eoNZ0i$Cu21&?PTWaKA=COK^>fbR(7vdkU)_9 zC^oZp`?&icP`KFo{J~rxWNbrr-{W4s+C8$f-#sGw(oHGzzJ z@c>v^eI>=jzyo0MU>t58{na*F0nl>TQ`OYeevID^fNF0)!S1onpzDHxPIGuSd!6aP zJm?mW()N9@OF=+^wJdu9C_}N)@T!WfZ&j3WddX_afn&i0`($RMOFJ}H`S}2h!NH-O zKp6om^<)4#dQbuWLYqUpEu=GkFs2kT0)X2(0|emB==^z@#zh4By_w6`*wn_3@lg_rs(h+NaPiVDA=k3_C8QOpc>#+w#ie9HkdhtbA13`-%R>9vkU+xD(Oj&{yNLwSZ&T*g6ZF%1WP@ii#bm&bI*DkHuhDDJ@Rc4tkbIQv!9m+Q*}E@4*EsxaKJqU6Sh>)x0z>zw=J@#uZEqBNNw|~| zj9+8N)1P1N3S7e2k(JMVXQIjhTD-_Y=^|4w_tZe^*I@tJSKnuDJGidO8Es$QxEhbl zW&`nz6TcMczh{TE2>nR=8Z(9tG=ful>D~mq+$G*a#^dvrTpzE;1{a&{aYGJ`vf_|7 z9#9qoV6=1s0If@cS@O!Auc-B-Y-+ToD8G4pJce$Qw&|i0BORmuOJtN7YlMXy0Ry+6R$W z#YKHUxVKZhfJx&4D;(!YtYXF1Z|Vm8jdM&{WLVSbLK&uCFM4pW<@+O*rbfaY5N3eL z2xX_tKubS3B$i_;h?oCew?n075}^+2n^xg77oHy%8YE_Gz3X^QLcILU&z3a2l=fKp zmlWVYP|ys)u(baoLcDp&?Xy8zZI*PigRe~lrwE4R%bPYeTr znup^*A7Hzumn2fIc3RKN_%1(cP=|k|#Y&SDMeTi|K1#7kbrR(fD3VcjP`Qx#*}PrHgvN%ryNCFp`Pte~UN5F3?bGBn{>Q4d z^(a|Ph8>L7T0_SQh?>baq;J?5&3uDNFe%&EP5azNdcs1Mw7fe@gN_-oL%QUpBh-ZQ z(W-4W$RCZ{4Rv-(d9rM(CLx5I?*-u_Mzq9QsK`s1U0+kPiYME5Dl0RN96TQ*i^6%% zNat;N>x7GEE;kv=N)Y{ZMIc3L`K8|#Z|gE;O90$CUw`H7-M+ptYYLO&v7z4TX9sFq zsDO|iU$KH`!-bxQYDlq|Ibva*m|E0s-MZemI-*0U!;rZ4-kmE7mN|ax9)a+n&~gO> z4EQaJl6GOn(#LhZQ_Y||9`1v(0l~>HR+X`#<6$jVLK0+dDHDfWC1i-Qi03-X)f6Gp zf9!1+JNMc68vLsAI`Ztlvjp?CEl|HI)PF)U=dj1IF&N3s6isZ$Y?XlX(7B8dpHP44Hq+2V}vw}ACMoZ%L9My^#%dm5ms)9Q6y@XqEpSE}`;t+~M z?8lXzObnhCLK5YP*@djTw9S>;$EqNGRT7@8%KUyrfF<#MJ{#Et*0YWbwH@bPSP*Z8 zYjBJLGQ&_lJ+}-Z@+7+bx$hzc)6xno^I8qUO+$SkmngfHvs>UI)-!8Z4)(_ZGEnu@ zk_zSi!%UyK*E@P2tPOnG6Md`|72zU17jkX}bZ*cayHLscRD69{fh9?Jv5VAPm|q&? z46AqHE;fv`NzwSuYjn8A%I!_PdO(nRm)=?_Sd|XA%kgioA*#RQZkhoYVzV z+pnmRFG>gK(Jn1lHM9M5l>(&q#ftnoVV%buT8~m1aBTwPEpJJkKEcpIKBJl`30%@( z#e2Wf{FMR{F}vkyh2_&cXu`@RG8CV&e+#}FBS}cQ{Sg+A=RGIT9IMMJ^c;3B%#^2@p5nGR^wXqelos zMTq^^KyL2gk%fP=TC7OoUQMPS?!5k+Cs-G(|2B!i26+4Bc@Cj;3u>wCMQf72>ciYl zN+vtPR|FV@1?}kZv&tMs$GFBgn&SoB;F}4c=bxV*(O7Zl!+L>Q$yyQRA1;xV($_IK z`#Zip&}UjO;dE0KE1$#UBog`zvO*)6+orUP65<{|+MPZsXOv~+SgpJPVY3$t2jpiH z2zPs7L-$CLj>8s-MePZm>xQ_aOc;^3V802Hso0aMLz5AR1=Dt|?y?Ln!3QmTgVEfC zm_7jQq5E`P8EuL(I?OP2{YFu+kNkR^vx7t=af04|d8+KG%Xw+TPq;8?50v1Y&nf9} zrQFH17Wa*CuiC{`y(M-V*j1&3sQl9-+FXl$`<~$W#cb`FpsZtS;D27fBKYKm25u50 z)t|pqi=H5FsHU6C< z95N)m=dh_ZgUHZecz;9k2xG{SX!-8zT00R&cNu|1t($$7mO`DUEutaw7vX*vi7UFA z1!QkCMD9M^K5fgiPAYLoJQtjJ%P~O{#`DV&1``oo!om*<7M5_;PpxqgSs;T5GtX) zoUhpdT8TJ$=w+6Bb6T{ku1qUli&u&3gn1dyd!H{UX`v>^ju-xvdu(ym4-6;ds`|{H zII~0+E@k`Jh@y|7{wW+DLa(wy!TgEe#IGVTi&##6Xmr)~ColyeWols69le{&^&_Ah zKCH+OpwzTIUObr)U{I>>l%Od<3pd;!@yw9i4!uB3C%B2)&cQI`{l-Ky+EptxB-Bf&CluLF@Y&SOdk)aGOt(r&80RZ zb_C?ni?}uBJ@jq({kNFVi)SlH$!q4*5&Q}dU6Wi5a)(SDRCWO2#iUY|0|UF_(lkct z*ij1k(%*LTaC$vqYiG|hIpOMk-By8Gw~HJm|FIkE@B4VUV4~B}U&s(?aCpj+OiyU!rXHNnqT>gPBxAw?e+fAN_)r)b8ZLRai?}4&=;1GEpqp zj2Ly@oyKa=TtR8VPScWPd(<7w;bE`9^)oO`(WHw;26DcOs5Ksxv=h8 zuz~jiwGyqSKb`93r#d$ZJ!#7<$1_g@!cj7~Y#EI~qX+Io_}U?aXMMDVZ}0`BCwyn$ zo@C~_)@yXgc-d@a{ze6lL5>$AjCiX{A^h*gA;hH3TEi-rPW@sZ<8}YjmiE@Etb|CA^KaP7p zfZbNfNj*KNt>m@lzrf6?_jNj_Kp^3Kfb4Ugv$fXbY)|-54m>lu(=Fs5Qw5W!xT4fd zqKGjs4j~Tw80a}ef5u@Tlt{@{5dG{oB;qR4BwOk^O0XD5-CS~Io~jhGRj^feHBuzy zd0I3z1+?jrHh`)2*bek8&|EKtv%6)8))WlAN^!UHG9V$3Z)b#FfUa`iQ$Xfta;Fab zm*`VnW7fnk!re@o{8UxxgX)mrMH}oG;?O`!4n#F_0dZ)>EE2I8w!cRIyi-=XLJa{~ zKg-J*B@^V0mb)|Hxd8}P@~t-!64y@W|E2PbQUKuw%~h#u?a@~_{8Iswqfy{Gn{o7K zU6|};ZampaJwb)J&-h>XSlYliVZ13!g0ex7gb8E)OQ$g&=&_ zV}NRN*lRxDs^pj z0v-puRkq#qym&}lqpFx>i_up@b$y*Eohz4=+p~M2b=r{uIY&DYarSw(cgabvdhdT*5fR3`(1{I zyUh*GD1r9t91S~|o=y^9DuCMF(gv1-mZkvmkHf_Ahr0;Syt5o($Vx%fziRU{my?C2 zRk`Tye{c-Ym-2O6EidiY)SfMnv1^vuQBOlsyCpHmceN)YwDfLkZajS`N$2)0gJ%*G zmhS?U2Qc3MOjPQOPdi@3R|0Xw3EA!ZEpRl?qb9k6_+?KD?hei(=&^Sz+^Wmxi6mE% zxYu93H*^oK7mSz+Wid?^g_fLo!B+0}-^P>07>e}_3|FT!>(^h}K8%nw9>(VA%0Ba0 z8w*8>h6FGk*W14*k1hg~1d&M%35ZI=uXk9wwKm?&kZUz-_AAnI8_w7N>1;yoju4+B zh8YE$jrUz%u~`&;3?WscC-`S&w`UYd_fFiG6@}uwP`r0hYj592e5QEGq$tmU^Vsxy z>bwA&s7N^qGZApN_q?jMPd3mxYEvqr();3n4DDh$5glt5uWAI;2$PVrofOTo?OMe; zSP_Ztc+_gSh#vf}a1#{-;m+M;lVUeB#oKg5_T{OkU37VfAI$UvOs8<-z2X1jq>co?Aex_ zRH+#S%da5?7>BM+A7cR+=K>qGE*p1xA@rOGO|$hbIC!6Z6E3Z~EwSvR%TH&B2e)UZ z(Xlf%jPYQfcY+KFM7s6Hn6xWaX;pO^4)>L6!#?p#0#ijgho>Sv{UbY<@N%gH&fB+m zK9SwO(PeIf?(Wn@FPfGkre~%)uxOG(7Y=s+_SR%6}vX&c&xoxG2vS1C9YV|JVHERbvW^gtP5v@*- z+?!VF*ola^jeZAKyy$Umypd%!`8@uhe`FffoJJ!*L7I>55G>S_FrSsOD|D^*6aVp% zSFdfukdssYoa?`gCbXcKjBH$+GuUUc5C|lnQYB~dPE4N6-wu3;H>(`zPob1#<(>HC z7pv2-K0`Bu44CYq?39)jN-!R>yFa)jSIl_M5mbOaaq()?zx#BmhyI7slXH~GULkJ# zzN-5s$EPtY2$8+z$8fjhBkt;KnI<~=`wZGpD1&O=Bm&V+rWLNZV=0;NW7fTk`a~eF zs#e)8Y9+9is7tDOEXCdVGbG4?%x<_#!_XsX43N`E&D!yi;qSvDxVB|olobx_F|aW- zV-Mi$MD;dg!itD5PXybk_ckCc&8>i?HYd=d>J3$?WN?`Yvf z%)iveAO5}T&>>V3T*FEsvP2Y7NOdxZI-HHU=wSeJZiA303!ekMP)Im70vKE$3TL^X zws#YUgcZ1sx*h{m*Aj4ebyq{KaPaMqp#;mmKLkL79=P^U z@E?k`Fwh@6{I7(+gV5~1fnB{7VA^xI%TW~IX~0pqe4df2H>$;3trQ)Z_}NfzCJeL= z8_rzwpbmq~cs48Q^Q2lVd;t=#hr)@TC(aKC<{ezvy87-p?{>=Y>(+e6ZkLZMCR zHXauIDiHzw_Wk7;loo{PaRmV+=0)P5I74OTX@bU8J$-8^RL33LGKiHI%JN3La3h-v zGs%V0IWJLXC8P=9WS#hcX9vJ0BKz+es-MW+g-thwP}rm4NU*y@$f(866vmnq26AWl zD#nYovV&2m!WT|&JE~wiqLjA??E5=K@;y0{4rwM^Z1~mnFVif@m1Rh5EpPNRL2HWJ&=;P+W7ux^M72A@+0YMt5kE zP|1Z2Z*y#Ha59#${T2PrIkV>5pWpF>@0!UMAWz5Vm=V3xZ@*Sjd({(C8nDZ>uCJ&# zPGE81-pO8FZoLnWB$QzL-`P3Q16`s5+*M#G!=WwVuIiV~YY9-zXU22mEH0_XX3tj7 zOW9Ow2}|r}RO_e8I28_nVEqBKpeAb6DhJ?nTy;4~dTL^LO?%6fl69`ruvnp~JAcXz+HpYN*`r#cF55r2 zUn$s@fch#@koMlDUQR{xs$^~!L$N9xRFa{c<&aBO#6pMRD_60v{6A{|W~yF43a5m9Q)ZmP^&+_rGNV)$rZiEVVxCx)N7yoohTcrKtnK0*jlX1!^Y@^G> zTG~^Clf)uh3bHj1hIDAn8*QWZC&36~9;~S@+HuH%befcrdHeDy!-_&|)n?jI4?d6O z16@Q+h#cRwHv*)Yk|}ztgOK$*GzHaY1ETEQzIDKhQnZYuHCbGjXiqx1H;&`-8#GPWtDfjWBsB%CP9DqT_dh z%M`oKxoIdCB^g@kwfNp27;i9R9E-d9&ZHulOi9;#EyiCAbw^=>%@n>>#nVeT!)VZ6 za890tAr$9(&{H}6T{wA}5lXcUeVfw&PAEiMwb-Ht36FhxSR_fP9?Ov$@3_bE%#?D2 z?DEZpmk(pEm0VpW`1yeO8+;x$cePljmOJc)Bq;3bc)COyhcH1<{iVwF6z#T`=Uh8% zUUx;1M$0T1Vu|A+f;7vueEf_d1X3{es1AdM!@|KW#O3%h$gtzg?Gmg<8CRI8P=u$&0WbgGa#pP zu~Br3-({Bav}a+Noe=1&l4MEh5SVl5z<5sLWx`%Vu}@xN7N}u045KCgk>Ch9+zIbB zLrRMRzzQ^Ayjsm2DOIJ#K$`c3ZsL@*EhZ^IA(Qwrc;ZVdkv8xID68(Dn7HvC;nvqg zOixIfj#}X3aGLK{SPw>FAR2SCWB;$LtIuA>IXNd=Q)S?e-6dzyAT5|8}XFx&t$gx2A zOfy299CJ1mORUvZaJ?1s|!!WxxTO{l_N+Vo1mxJnjas!!?V{-uI zECrD{r^~*$8OgM+AN2rRC}=D!pb5WSD5+ht&4v5f%Fp}gqDCw(9CEzP8`~@C=+>YG zDdpE%ry+tYC7eT7kV$%#=|ckI-4&t0Rae^2~F;Z$$qANi#qnS%%SMeDAAsznjFa`%ipOR@a>JdbI>)C2d!H zJ2kVI-^bjkZx!bLZO9BLeEbH~+_oZZ-8tG?qVscf(Q$XqZIc&yro$XA2P0t^6`h%U zL}!6)cQe|&^L2gW?AmZ!!U>1*kW1A-mP7oli?GO5)ni%?G;CqPr7%hR4H#P9~PihY$5HdCbMHO4ldcj$+uG|W!j+)2q3M)Kb8YR;jl`*eNzcj5oXo$L~65B8vJBB;}<7^ZE=C` zVE*mK4kEfV>1Z4|_Dpe#dy8ymM_98`QY+%auScL}`jcam<{C=}i+(BAQsUo%GVUx< zhG8^1PWTl~UMQB4n#~b7c5Q4#RtOHF0m5xrymKBa?6aakK!X|M8G$j61@BJjidY~8 z{Y~LAh7n>qL*YeKJn`YUIsSNK{cs;FJguAeP6%mT-1^1l1{?C-CBVuHBBI$japj@Z zT=0U3T)1q#DyfU4xIjZy*H?b*f|yK_EH--a&IIT#CLnd(4Em!c>3c{jaLpeWoO-fG zC)34OeR!gs`>impDjf9@7{iyHT_)$k+{)4(uRTTfdmRNH-Da5m0EaL;XTHDQwlpt& zrq^X-_^jr=L$|KM%nT|xAC7S}7b9K>CXk7|UsSDmG!GmHM^X|F@gL9&HwG+0ez{bB zNPhP+aScxT>;U5WKdF=icXz9%>ih0@1T#U9f{JCVK@kdJx9u<7Z-rqBIM8P4+sX$2ciLW9phg(M0Ht(N zt;TLvp^okG5}ya-MG$YRk@z)UyoBv8bjOK~N*?%?o~1A_QN{1!ECubiH;_Tj`rXMK zUX!a3N%N6%w{yby!W1zSJa!tjsht> zR=W?%XN#1o6b4?!FFL=QuO~{hse{OX2AEMH>OM1QuvWNP?5%sOX>g&UR&_1)eFtAE z1kEnEW!?=lWolHXtMJx0aZu4S1{a?{IJlB^g~&_#e(SbJHk)SzL`2+;^ljVo#bbJJ z;P2Lk>lsc76Vo5o$9}17?SB?X>q zur9$6;toTRYM1z1rZU*1Yd$zT<`}d1k5sgoz8zRBymKQYAOwP7f0D z@nuB*JdBbDSBECgh1o?dNwit*K``{{vyGdrR3_}?o2*&BAXr65coH4J*8nt5lIGr~ z*&VrPdJ>?UZVWY&x)unA?uG`Pz!bCthES$dEu2=(K+4~%PU(?Kg)7xqqDVO zu+jEtwkonpF0RiYcV@h;m>S{AFD0h;vC4uyX7f(r~!f>g~nzFz>paNi1z@YW+9!G3G(rR$vY=3g->CEr~Kh zG7uz41OP{t#7$f^GGg@nWKS(^E26VTi9IJ&j8ES{3`k6%a~y%1JCP6KO>Hcda$ZR;xZMQG$ID#Xbm)F0x1gI8x@jXoJ1{}s$3 zE(`EBiIwm?E^}b1fL1`Y>fnC=OMABFQFJ!H5I+<)q?<0BC-$sRy!xkSm?h_Pr7}f! zgHJI1o;vho9f|ZhC&k&~=#oG!)tFF3AKs^KmR7Fk1HS<&wI}XoYHr!8^ZwTI;n0(uhb`?|=tixPC1`Dh-LtJd@XZN9(IXCkp2(V6xX!(r-ufTv}gg!&nt z?40=|-!_Ag4)phTQUO^?s7!k)5U7Jh)9!T58u_=}0kAg@+LT*hBK37D89j+ehKHLa z&=g*ZkFxb}b9aO$jXzRk9Va7VJiO>mTE>8k3dHV0ogbz|OOw-$>0;U!Jb!EMNJWgR zKqC+P((6|JQ!5%9N41)7qUnbBO3Hj-?aDJsP_Cv!r)FPH9?{~R;IkC}nZ0=w-LK>2 zYE5=sf{dnGp(fS=Wg1gKRzQE$4W2zkO5=d6uYABwVY7Ev&Cvu|M>rhBN=B0BwE0v( z&3iNpD8D$E2?j|ZKiIn@7>@Ty4M<-G@-${VU$E18VFnmGB8>u4v<$=CQ(4zk{-=v# z&Zv&}#csd+%9;&ybRMrNcU7&)vf3n$E66d0hXpti?a)0-9GY_&@2#w1l&N!Q$G=;o zRrdl+TUoqP|N5CR0?`Ld$INUx6Y#drb)VApqUGBMf{IfVth^`98+n%{Z|N6Ay^>wiUm@)k8v?&IJ!SW_)XX z>ZF+hI2U!?_lqL2fOI^90|FJCm0#PNF8N62fnf7xdW0bPI*SKL{iGrwIOzShJ2K=T zb2Ct46KUFs04t#Kn>Ndgz?yEsq}Cp0Doh3ieHPJ68&2c2sW;++e7637^l<61VVY9a zAn(!<=1*{Yusdnq39St~&ioO;eSHeY2n(qR#D7n1Y!-oJ@9w{G$72SZ{|7xC{eRcf z@jE%1+Srqk(<+%cS{nau6`c&sjSU@t_XK~1agM*|r1X`H)$m-*98K{|-E58R?T!E8 z+3Fiw=$jam)5_V~7&#dl+mqQE{re50rl(<|qoHRZr+Zg@7LX_%vScWNcujZ%vM8VXNR_yo=lp*zXQ5%Bp(pC7Cc&619L@3D@a-yJa&fvkQ>@NIO4G~{$Gn^JVqvFw*Ox-;+3Yl!v-6I_exD~ zfi^kR|7zsC!`a~8K5oR;*sE6XP_=`^7Ar<=TC?`vB@wDMV((d_qNS>jt<+q_vi1uuJ`@#-1l|vbN)GhobS2M_tR(W|K{(HdL{0I!94sadFlM# z&s&vpbP_6L4Wh14wyvd zL<brnU~$l}PRU;NZGoKR2ztLIn7Ive`RS$7E3bIm=r}@)VaVz^uttLabRK%X-?lt6 zNui`qb?%*8$kiGo4J>k8zxK3&`6m9|);13^9Avv&`$7M}B6lU%+=6W$Bsm=5m@Uh1 z5_}(9@*~~d`0%fb0_*v+u?z})U>+&sSd>UD1tw?pW#6Ajb)yk!*wD9yrc#$bx*N|X zdh6czpvOy3x6iW-?rqbEPQAW3zxnrZuZIh@H#z;!XeEUhrQBl62ZNw@?$XyL>TYqA z6B(Pa>Ut#l?)HiFF^jazL{pJ- zNjfvanBw%pS3@@Kgtazb)=b2jZ?a^FZN4=VB^-9um)Iq9Oa+$nMA~jl(?~6&YcAl$ z8uCK+aes-2kda!RK+fHEaWx{><)2%Y*@idNxu0EqXuoiKvPcsx$6JBPD7L)yYIm}E zCv>xBt6#pK>W1?AthzU!kFRUx3VFE)x{`YgQ!^Y8CV9!`(Gp$CT4s^OCmfp4G{?OT zlB9w|H6x!LDR*%){Nkp+BxpmIc?)f)C*l$@KX3p#>ckg?*DT66H|05>dLlfOSQLHl zai9ngdz<4E8IDvQ`t! zeKY>xEU+lIN-u1L^nLZFv+gs1xJqLV=}#k(w^MruxDX+{OAV61hjPXdKIWI`&&woy z`3PO0nR`(sI)yGCJAcw{QOW^20#pvHQVnT|JyLh3Fa=HpHR2T`v0F?bLc6xw4Av zJ#0SJFq)zxwT6LLe+<@_zi&=WZI@op4_1oz0pgtRF!jtHi1A@9C)@q5xxrs0>bi-+ z;*GZ5Kcn3!pmac&zG+rjQ%AJ6pBfxHu8XN%_UcFSBZQFrXC3#0v&#+KCOHf($eWcf z@f{_5BO-E**3i(~nNzF7D1+O2v;{N$td2|O$;xS5b$DZ1Xm{xh=$hPzM};p-fA0w+HQL{MGw!J2D$&&2 zA!(A11$NaFRI&1XU$PPaS5#OHDV|LAg#MIv)S3sQ3C4~u{A7-w!Tao=Z=S20%K!nSB6qI6^*q83{L88DI}Cv@&d&V=k#(7G4C2iR5*Bi*MQzP)@TiBCC;JtL7#xCx(^}47JxALzAGQKCtXUNNmm(2v%^9!Oq zE+NzqD@4?+Y9HljM?(y3wyEixvWjbF+>3&t&Q_0g4mnuONV1ubha2x+);e5|JSnEl zk0odrwsY-4%(}WZus%!3bS_0FEponb<B1NFgRpZ}X>(LQlu zPXWhb=i!7xaR7#H=ZDR}Ye#=;<{Ny`QF`B68$0!ps5@Z%+b5X;uu+@9A8-<|Qtu+^ z?TXrB^zXG?_@|~=dQ&!3%qO5kW4n@NyAQrCnMkjx`|Xt`YssB$Q9H%(!$F#pe}o%B;KyW9CDjPP>#x@f7=t$0!zsjr7LLeL^0 zlG&1y-UcHs7R%GAR?(ZtdtH8Kt5`wWm1 zB6UbQ75B6#OMv3KTp^|-uQHRNjR3u%{ClX9!e$)^dsqSY&WF8lNc6E)UQcfhre*&q z@S=`ds$~Z>{)?N#Z`+y}T5P@Z>3D+UBYp6%8DqWY9F0a@q=T{-%XXJI{pp2+=_6yi zXK^3&@f3f`S9TbPd4G)3R0)*HwV3wa+Rm%6>!_o>HA1g}EKd(@Hvj(KW-n$l3eQT_ zmHgvWQ@p2&y&oYrc=+hMcV~|pCkHy36AB9kb}M9db3giZwiANEa&-3r%-Wr9;AK`P&7y1V1c#OCnl8s@^^mx;2i* z!1kAXJdM}1Mzu3xTNj2xlMyhz(aDx+=5^HmSXXz7f*o$`bX=OjuNPQJMV^q-b8tV`Ivn`m)j zV|cf?$lAs9M)-Ub@88I4>THCpsl6UH zf>l{-%vJJ33}iB#&2c|uZH@32Jtoa;Y!-Awd(gUEsx9Oy7jAF`>OE>hf%lx}8C)vu(H)5?fZLWB_PuF)s=e||IUqf-t~l3 z-LZ+W!EO0*^v)r>!*aV&>CwR9MB{f%^8wBh8D1;(GduKih$jZ&xFi=Az9<#sqBZ)s zEc`S=r>+z<-oqa1$oBy{&!#^{(`S!fa{^7Q?V3}8rt^~!+|(PsEgA#eEJJ z(|$eZu9A{*Mc`-rGvCKn>(O~eqn-Uw00%s~f8`gkt%5F%ca@4^+lGRV-bh(^4r4%3 zdeTSQL{_IDuhRY_tGC>jPf(U)QjRlWG`sd;#||w-*_1AU;Fd&XCwM1L+nKL|Q9xh5XpwH-;5mVDbbhkmR9 zF8)3Hz*>H`q4j7v+VF-7u6ErT*m|^}YoFD2q~29a#nJEg>3vu$*Y3wJhkGao#)c7jyBKC ztFqR;P!HR|T#CHm@K`YU*p`RqDpi+{_?-cW`+M!d^Q#yp0v^if$kpR zAbS}Q7_8_(D{bi$;qmW~R@xe54+hDBz&A;YpdjQ;5^}SI#lIDvK{wIAI{e>A2V}3R zpsA&x4c1hI>S{uCb!By-U?oLuh>nsxL{<~5q@=43`oE{#?DHQ(97t9P@*k!7|M0!> zPK`jdf>~pZIvE5DY0a_1VOa4E_IyRQ-0TrMzHV_&uIF6E&%;SZFpVGL^kn=bpFa6z zzoLFor$$UmzEl>>tg<{~s^J~e#G`?Vag^TiCRJK2;m%|xuej{G>D1Yd7SFA`Rrh-Nc(ggr9;kA4FvkdOqXXH3`q?$}&F01EJH>GE83Ot4Uwt`s1 zTmZx}e#-mhr{&Ca3(;{h6}hx?iZpIwJINXAW-*FJ)f>&NMTxSb`1I5Z*EHLrBp!)w zK?%I9JBZX^sE4+$r}$pAZ>5D;n5osSSQfnYR{ktit#SS-L#\linewidth\linewidth + \else\Gin@nat@width\fi} + \makeatother + \let\Oldincludegraphics\includegraphics + % Set max figure width to be 80% of text width, for now hardcoded. + \renewcommand{\includegraphics}[1]{\Oldincludegraphics[width=.8\maxwidth]{#1}} + % Ensure that by default, figures have no caption (until we provide a + % proper Figure object with a Caption API and a way to capture that + % in the conversion process - todo). + \usepackage{caption} + \DeclareCaptionLabelFormat{nolabel}{} + \captionsetup{labelformat=nolabel} + + \usepackage{adjustbox} % Used to constrain images to a maximum size + \usepackage{xcolor} % Allow colors to be defined + \usepackage{enumerate} % Needed for markdown enumerations to work + \usepackage{geometry} % Used to adjust the document margins + \usepackage{amsmath} % Equations + \usepackage{amssymb} % Equations + \usepackage{textcomp} % defines textquotesingle + % Hack from http://tex.stackexchange.com/a/47451/13684: + \AtBeginDocument{% + \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code + } + \usepackage{upquote} % Upright quotes for verbatim code + \usepackage{eurosym} % defines \euro + \usepackage[mathletters]{ucs} % Extended unicode (utf-8) support + \usepackage[utf8x]{inputenc} % Allow utf-8 characters in the tex document + \usepackage{fancyvrb} % verbatim replacement that allows latex + \usepackage{grffile} % extends the file name processing of package graphics + % to support a larger range + % The hyperref package gives us a pdf with properly built + % internal navigation ('pdf bookmarks' for the table of contents, + % internal cross-reference links, web links for URLs, etc.) + \usepackage{hyperref} + \usepackage{longtable} % longtable support required by pandoc >1.10 + \usepackage{booktabs} % table support for pandoc > 1.12.2 + \usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment) + \usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout) + % normalem makes italics be italics, not underlines + + + + + % Colors for the hyperref package + \definecolor{urlcolor}{rgb}{0,.145,.698} + \definecolor{linkcolor}{rgb}{.71,0.21,0.01} + \definecolor{citecolor}{rgb}{.12,.54,.11} + + % ANSI colors + \definecolor{ansi-black}{HTML}{3E424D} + \definecolor{ansi-black-intense}{HTML}{282C36} + \definecolor{ansi-red}{HTML}{E75C58} + \definecolor{ansi-red-intense}{HTML}{B22B31} + \definecolor{ansi-green}{HTML}{00A250} + \definecolor{ansi-green-intense}{HTML}{007427} + \definecolor{ansi-yellow}{HTML}{DDB62B} + \definecolor{ansi-yellow-intense}{HTML}{B27D12} + \definecolor{ansi-blue}{HTML}{208FFB} + \definecolor{ansi-blue-intense}{HTML}{0065CA} + \definecolor{ansi-magenta}{HTML}{D160C4} + \definecolor{ansi-magenta-intense}{HTML}{A03196} + \definecolor{ansi-cyan}{HTML}{60C6C8} + \definecolor{ansi-cyan-intense}{HTML}{258F8F} + \definecolor{ansi-white}{HTML}{C5C1B4} + \definecolor{ansi-white-intense}{HTML}{A1A6B2} + + % commands and environments needed by pandoc snippets + % extracted from the output of `pandoc -s` + \providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + \DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}} + % Add ',fontsize=\small' for more characters per line + \newenvironment{Shaded}{}{} + \newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}} + \newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}} + \newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}} + \newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}} + \newcommand{\RegionMarkerTok}[1]{{#1}} + \newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\NormalTok}[1]{{#1}} + + % Additional commands for more recent versions of Pandoc + \newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}} + \newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}} + \newcommand{\ImportTok}[1]{{#1}} + \newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}} + \newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}} + \newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}} + \newcommand{\BuiltInTok}[1]{{#1}} + \newcommand{\ExtensionTok}[1]{{#1}} + \newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}} + \newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}} + \newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + + + % Define a nice break command that doesn't care if a line doesn't already + % exist. + \def\br{\hspace*{\fill} \\* } + % Math Jax compatability definitions + \def\gt{>} + \def\lt{<} + % Document parameters + \title{lecture\_11} + + + + + % Pygments definitions + +\makeatletter +\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax% + \let\PY@ul=\relax \let\PY@tc=\relax% + \let\PY@bc=\relax \let\PY@ff=\relax} +\def\PY@tok#1{\csname PY@tok@#1\endcsname} +\def\PY@toks#1+{\ifx\relax#1\empty\else% + \PY@tok{#1}\expandafter\PY@toks\fi} +\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{% + \PY@it{\PY@bf{\PY@ff{#1}}}}}}} +\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}} + +\expandafter\def\csname PY@tok@gd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@gu\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@gt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}} +\expandafter\def\csname PY@tok@gs\endcsname{\let\PY@bf=\textbf} +\expandafter\def\csname PY@tok@gr\endcsname{\def\PY@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@cm\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@vg\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@vi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@mh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@cs\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@ge\endcsname{\let\PY@it=\textit} +\expandafter\def\csname PY@tok@vc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@il\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@go\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.53,0.53}{##1}}} +\expandafter\def\csname PY@tok@cp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.74,0.48,0.00}{##1}}} +\expandafter\def\csname PY@tok@gi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.63,0.00}{##1}}} +\expandafter\def\csname PY@tok@gh\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@ni\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}} +\expandafter\def\csname PY@tok@nl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.63,0.00}{##1}}} +\expandafter\def\csname PY@tok@nn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@no\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@na\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.49,0.56,0.16}{##1}}} +\expandafter\def\csname PY@tok@nb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@nc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@nd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\expandafter\def\csname PY@tok@ne\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.82,0.25,0.23}{##1}}} +\expandafter\def\csname PY@tok@nf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@si\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}} +\expandafter\def\csname PY@tok@s2\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@nt\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@nv\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@s1\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@ch\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@m\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@gp\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@sh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@ow\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\expandafter\def\csname PY@tok@sx\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@bp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@c1\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@o\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@kc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@c\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@mf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@err\endcsname{\def\PY@bc##1{\setlength{\fboxsep}{0pt}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}} +\expandafter\def\csname PY@tok@mb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@ss\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@sr\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}} +\expandafter\def\csname PY@tok@mo\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@kd\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@mi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@kn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@cpf\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@kr\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@s\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@kp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@w\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}} +\expandafter\def\csname PY@tok@kt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}} +\expandafter\def\csname PY@tok@sc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@sb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@k\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@se\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.13}{##1}}} +\expandafter\def\csname PY@tok@sd\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} + +\def\PYZbs{\char`\\} +\def\PYZus{\char`\_} +\def\PYZob{\char`\{} +\def\PYZcb{\char`\}} +\def\PYZca{\char`\^} +\def\PYZam{\char`\&} +\def\PYZlt{\char`\<} +\def\PYZgt{\char`\>} +\def\PYZsh{\char`\#} +\def\PYZpc{\char`\%} +\def\PYZdl{\char`\$} +\def\PYZhy{\char`\-} +\def\PYZsq{\char`\'} +\def\PYZdq{\char`\"} +\def\PYZti{\char`\~} +% for compatibility with earlier versions +\def\PYZat{@} +\def\PYZlb{[} +\def\PYZrb{]} +\makeatother + + + % Exact colors from NB + \definecolor{incolor}{rgb}{0.0, 0.0, 0.5} + \definecolor{outcolor}{rgb}{0.545, 0.0, 0.0} + + + + + % Prevent overflowing lines due to hard-to-break entities + \sloppy + % Setup hyperref package + \hypersetup{ + breaklinks=true, % so long urls are correctly broken across lines + colorlinks=true, + urlcolor=urlcolor, + linkcolor=linkcolor, + citecolor=citecolor, + } + % Slightly bigger margins than the latex defaults + + \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} + + + + \begin{document} + + + \maketitle + + + + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}18}]:} \PY{c}{\PYZpc{}plot \PYZhy{}\PYZhy{}format svg} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}19}]:} \PY{n}{setdefaults} +\end{Verbatim} + + \section{LU Decomposition}\label{lu-decomposition} + +\subsubsection{efficient storage of matrices for +solutions}\label{efficient-storage-of-matrices-for-solutions} + +Considering the same solution set: + +\(y=Ax\) + +Assume that we can perform Gauss elimination and achieve this formula: + +\(Ux=d\) + +Where, \(U\) is an upper triangular matrix that we derived from Gauss +elimination and \(d\) is the set of dependent variables after Gauss +elimination. + +Assume there is a lower triangular matrix, \(L\), with ones on the +diagonal and same dimensions of \(U\) and the following is true: + +\(L(Ux-d)=Ax-y=0\) + +Now, \(Ax=LUx\), so \(A=LU\), and \(y=Ld\). + +\(2x_{1}+x_{2}=1\) + +\(x_{1}+3x_{2}=1\) + +\(\left[ \begin{array}{cc} 2 & 1 \\ 1 & 3 \end{array} \right] \left[\begin{array}{c} x_{1} \\ x_{2} \end{array}\right]= \left[\begin{array}{c} 1 \\ 1\end{array}\right]\) + +f21=0.5 + +A(2,1)=1-1 = 0 + +A(2,2)=3-0.5=2.5 + +y(2)=1-0.5=0.5 + +\(L(Ux-d)= \left[ \begin{array}{cc} 1 & 0 \\ 0.5 & 1 \end{array} \right] \left(\left[ \begin{array}{cc} 2 & 1 \\ 0 & 2.5 \end{array} \right] \left[\begin{array}{c} x_{1} \\ x_{2} \end{array}\right]- \left[\begin{array}{c} 1 \\ 0.5\end{array}\right]\right)=0\) + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}3}]:} \PY{n}{A}\PY{p}{=}\PY{p}{[}\PY{l+m+mi}{2}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{;}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{3}\PY{p}{]} + \PY{n}{L}\PY{p}{=}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{0}\PY{p}{;}\PY{l+m+mf}{0.5}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{]} + \PY{n}{U}\PY{p}{=}\PY{p}{[}\PY{l+m+mi}{2}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{;}\PY{l+m+mi}{0}\PY{p}{,}\PY{l+m+mf}{2.5}\PY{p}{]} + \PY{n}{L}\PY{o}{*}\PY{n}{U} + + \PY{n}{d}\PY{p}{=}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{;}\PY{l+m+mf}{0.5}\PY{p}{]} + \PY{n}{y}\PY{p}{=}\PY{n}{L}\PY{o}{*}\PY{n}{d} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +A = + + 2 1 + 1 3 + +L = + + 1.00000 0.00000 + 0.50000 1.00000 + +U = + + 2.00000 1.00000 + 0.00000 2.50000 + +ans = + + 2 1 + 1 3 + +d = + + 1.00000 + 0.50000 + +y = + + 1 + 1 + + + \end{Verbatim} + + \subsection{Pivoting for LU +factorization}\label{pivoting-for-lu-factorization} + +LU factorization uses the same method as Gauss elimination so it is also +necessary to perform partial pivoting when creating the lower and upper +triangular matrices. + +Matlab and Octave use pivoting in the command + +\texttt{{[}L,U,P{]}=lu(A)} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}4}]:} \PY{n}{help} \PY{n+nb}{lu} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +'lu' is a built-in function from the file libinterp/corefcn/lu.cc + + -- Built-in Function: [L, U] = lu (A) + -- Built-in Function: [L, U, P] = lu (A) + -- Built-in Function: [L, U, P, Q] = lu (S) + -- Built-in Function: [L, U, P, Q, R] = lu (S) + -- Built-in Function: [{\ldots}] = lu (S, THRES) + -- Built-in Function: Y = lu ({\ldots}) + -- Built-in Function: [{\ldots}] = lu ({\ldots}, "vector") + Compute the LU decomposition of A. + + If A is full subroutines from LAPACK are used and if A is sparse + then UMFPACK is used. + + The result is returned in a permuted form, according to the + optional return value P. For example, given the matrix 'a = [1, 2; + 3, 4]', + + [l, u, p] = lu (A) + + returns + + l = + + 1.00000 0.00000 + 0.33333 1.00000 + + u = + + 3.00000 4.00000 + 0.00000 0.66667 + + p = + + 0 1 + 1 0 + + The matrix is not required to be square. + + When called with two or three output arguments and a spare input + matrix, 'lu' does not attempt to perform sparsity preserving column + permutations. Called with a fourth output argument, the sparsity + preserving column transformation Q is returned, such that 'P * A * + Q = L * U'. + + Called with a fifth output argument and a sparse input matrix, 'lu' + attempts to use a scaling factor R on the input matrix such that 'P + * (R \textbackslash{} A) * Q = L * U'. This typically leads to a sparser and more + stable factorization. + + An additional input argument THRES, that defines the pivoting + threshold can be given. THRES can be a scalar, in which case it + defines the UMFPACK pivoting tolerance for both symmetric and + unsymmetric cases. If THRES is a 2-element vector, then the first + element defines the pivoting tolerance for the unsymmetric UMFPACK + pivoting strategy and the second for the symmetric strategy. By + default, the values defined by 'spparms' are used ([0.1, 0.001]). + + Given the string argument "vector", 'lu' returns the values of P + and Q as vector values, such that for full matrix, 'A (P,:) = L * + U', and 'R(P,:) * A (:, Q) = L * U'. + + With two output arguments, returns the permuted forms of the upper + and lower triangular matrices, such that 'A = L * U'. With one + output argument Y, then the matrix returned by the LAPACK routines + is returned. If the input matrix is sparse then the matrix L is + embedded into U to give a return value similar to the full case. + For both full and sparse matrices, 'lu' loses the permutation + information. + + See also: luupdate, ilu, chol, hess, qr, qz, schur, svd. + +Additional help for built-in functions and operators is +available in the online version of the manual. Use the command +'doc ' to search the manual index. + +Help and information about Octave is also available on the WWW +at http://www.octave.org and via the help@octave.org +mailing list. + + \end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}22}]:} \PY{c}{\PYZpc{} time LU solution vs backslash} + \PY{n}{t\PYZus{}lu}\PY{p}{=}\PY{n+nb}{zeros}\PY{p}{(}\PY{l+m+mi}{100}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{;} + \PY{n}{t\PYZus{}bs}\PY{p}{=}\PY{n+nb}{zeros}\PY{p}{(}\PY{l+m+mi}{100}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{;} + \PY{k}{for} \PY{n}{N}\PY{p}{=}\PY{l+m+mi}{1}\PY{p}{:}\PY{l+m+mi}{100} + \PY{n}{A}\PY{p}{=}\PY{n+nb}{rand}\PY{p}{(}\PY{n}{N}\PY{p}{,}\PY{n}{N}\PY{p}{)}\PY{p}{;} + \PY{n}{y}\PY{p}{=}\PY{n+nb}{rand}\PY{p}{(}\PY{n}{N}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{;} + \PY{p}{[}\PY{n}{L}\PY{p}{,}\PY{n}{U}\PY{p}{,}\PY{n}{P}\PY{p}{]}\PY{p}{=}\PY{n+nb}{lu}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{p}{;} + + \PY{n+nb}{tic}\PY{p}{;} \PY{n}{d}\PY{p}{=}\PY{n}{L}\PY{o}{\PYZbs{}}\PY{n}{y}\PY{p}{;} \PY{n}{x}\PY{p}{=}\PY{n}{U}\PY{o}{\PYZbs{}}\PY{n}{d}\PY{p}{;} \PY{n}{t\PYZus{}lu}\PY{p}{(}\PY{n}{N}\PY{p}{)}\PY{p}{=}\PY{n+nb}{toc}\PY{p}{;} + + \PY{n+nb}{tic}\PY{p}{;} \PY{n}{x}\PY{p}{=}\PY{n}{A}\PY{o}{\PYZbs{}}\PY{n}{y}\PY{p}{;} \PY{n}{t\PYZus{}bs}\PY{p}{(}\PY{n}{N}\PY{p}{)}\PY{p}{=}\PY{n+nb}{toc}\PY{p}{;} + \PY{k}{end} + \PY{n+nb}{plot}\PY{p}{(}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{:}\PY{l+m+mi}{100}\PY{p}{]}\PY{p}{,}\PY{n}{t\PYZus{}lu}\PY{p}{,}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{:}\PY{l+m+mi}{100}\PY{p}{]}\PY{p}{,}\PY{n}{t\PYZus{}bs}\PY{p}{)} + \PY{n+nb}{legend}\PY{p}{(}\PY{l+s}{\PYZsq{}}\PY{l+s}{LU decomp\PYZsq{}}\PY{p}{,}\PY{l+s}{\PYZsq{}}\PY{l+s}{Octave \PYZbs{}\PYZbs{}\PYZsq{}}\PY{p}{)} +\end{Verbatim} + + \begin{center} + \adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{lecture_11_files/lecture_11_6_0.pdf} + \end{center} + { \hspace*{\fill} \\} + + Consider the problem again from the intro to Linear Algebra, 4 masses +are connected in series to 4 springs with K=10 N/m. What are the final +positions of the masses? + +\begin{figure}[htbp] +\centering +\includegraphics{mass_springs.png} +\caption{Springs-masses} +\end{figure} + +The masses haves the following amounts, 1, 2, 3, and 4 kg for masses +1-4. Using a FBD for each mass: + +\(m_{1}g+k(x_{2}-x_{1})-kx_{1}=0\) + +\(m_{2}g+k(x_{3}-x_{2})-k(x_{2}-x_{1})=0\) + +\(m_{3}g+k(x_{4}-x_{3})-k(x_{3}-x_{2})=0\) + +\(m_{4}g-k(x_{4}-x_{3})=0\) + +in matrix form: + +\(\left[ \begin{array}{cccc} 2k & -k & 0 & 0 \\ -k & 2k & -k & 0 \\ 0 & -k & 2k & -k \\ 0 & 0 & -k & k \end{array} \right] \left[ \begin{array}{c} x_{1} \\ x_{2} \\ x_{3} \\ x_{4} \end{array} \right]= \left[ \begin{array}{c} m_{1}g \\ m_{2}g \\ m_{3}g \\ m_{4}g \end{array} \right]\) + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}24}]:} \PY{n}{k}\PY{p}{=}\PY{l+m+mi}{10}\PY{p}{;} \PY{c}{\PYZpc{} N/m} + \PY{n}{m1}\PY{p}{=}\PY{l+m+mi}{1}\PY{p}{;} \PY{c}{\PYZpc{} kg} + \PY{n}{m2}\PY{p}{=}\PY{l+m+mi}{2}\PY{p}{;} + \PY{n}{m3}\PY{p}{=}\PY{l+m+mi}{3}\PY{p}{;} + \PY{n}{m4}\PY{p}{=}\PY{l+m+mi}{4}\PY{p}{;} + \PY{n}{g}\PY{p}{=}\PY{l+m+mf}{9.81}\PY{p}{;} \PY{c}{\PYZpc{} m/s\PYZca{}2} + \PY{n}{K}\PY{p}{=}\PY{p}{[}\PY{l+m+mi}{2}\PY{o}{*}\PY{n}{k} \PY{o}{\PYZhy{}}\PY{n}{k} \PY{l+m+mi}{0} \PY{l+m+mi}{0}\PY{p}{;} \PY{o}{\PYZhy{}}\PY{n}{k} \PY{l+m+mi}{2}\PY{o}{*}\PY{n}{k} \PY{o}{\PYZhy{}}\PY{n}{k} \PY{l+m+mi}{0}\PY{p}{;} \PY{l+m+mi}{0} \PY{o}{\PYZhy{}}\PY{n}{k} \PY{l+m+mi}{2}\PY{o}{*}\PY{n}{k} \PY{o}{\PYZhy{}}\PY{n}{k}\PY{p}{;} \PY{l+m+mi}{0} \PY{l+m+mi}{0} \PY{o}{\PYZhy{}}\PY{n}{k} \PY{n}{k}\PY{p}{]} + \PY{n}{y}\PY{p}{=}\PY{p}{[}\PY{n}{m1}\PY{o}{*}\PY{n}{g}\PY{p}{;}\PY{n}{m2}\PY{o}{*}\PY{n}{g}\PY{p}{;}\PY{n}{m3}\PY{o}{*}\PY{n}{g}\PY{p}{;}\PY{n}{m4}\PY{o}{*}\PY{n}{g}\PY{p}{]} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +K = + + 20 -10 0 0 + -10 20 -10 0 + 0 -10 20 -10 + 0 0 -10 10 + +y = + + 9.8100 + 19.6200 + 29.4300 + 39.2400 + + + \end{Verbatim} + + This matrix, K, is symmetric. + +\texttt{K(i,j)==K(j,i)} + +Now we can use, + +\subsection{Cholesky Factorization}\label{cholesky-factorization} + +We can decompose the matrix, K into two matrices, \(U\) and \(U^{T}\), +where + +\(K=U^{T}U\) + +each of the components of U can be calculated with the following +equations: + +\(u_{ii}=\sqrt{a_{ii}-\sum_{k=1}^{i-1}u_{ki}^{2}}\) + +\(u_{ij}=\frac{a_{ij}-\sum_{k=1}^{i-1}u_{ki}u_{kj}}{u_{ii}}\) + +so for K + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}25}]:} \PY{n}{K} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +K = + + 20 -10 0 0 + -10 20 -10 0 + 0 -10 20 -10 + 0 0 -10 10 + + + \end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}26}]:} \PY{n}{u11}\PY{p}{=}\PY{n+nb}{sqrt}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{)} + \PY{n}{u12}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{2}\PY{p}{)}\PY{p}{)}\PY{o}{/}\PY{n}{u11} + \PY{n}{u13}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{3}\PY{p}{)}\PY{p}{)}\PY{o}{/}\PY{n}{u11} + \PY{n}{u14}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{4}\PY{p}{)}\PY{p}{)}\PY{o}{/}\PY{n}{u11} + \PY{n}{u22}\PY{p}{=}\PY{n+nb}{sqrt}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{2}\PY{p}{,}\PY{l+m+mi}{2}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u12}\PYZca{}\PY{l+m+mi}{2}\PY{p}{)} + \PY{n}{u23}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{2}\PY{p}{,}\PY{l+m+mi}{3}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u12}\PY{o}{*}\PY{n}{u13}\PY{p}{)}\PY{o}{/}\PY{n}{u22} + \PY{n}{u24}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{2}\PY{p}{,}\PY{l+m+mi}{4}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u12}\PY{o}{*}\PY{n}{u14}\PY{p}{)}\PY{o}{/}\PY{n}{u22} + \PY{n}{u33}\PY{p}{=}\PY{n+nb}{sqrt}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{3}\PY{p}{,}\PY{l+m+mi}{3}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u13}\PYZca{}\PY{l+m+mi}{2}\PY{o}{\PYZhy{}}\PY{n}{u23}\PYZca{}\PY{l+m+mi}{2}\PY{p}{)} + \PY{n}{u34}\PY{p}{=}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{3}\PY{p}{,}\PY{l+m+mi}{4}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u13}\PY{o}{*}\PY{n}{u14}\PY{o}{\PYZhy{}}\PY{n}{u23}\PY{o}{*}\PY{n}{u24}\PY{p}{)}\PY{o}{/}\PY{n}{u33} + \PY{n}{u44}\PY{p}{=}\PY{n+nb}{sqrt}\PY{p}{(}\PY{n}{K}\PY{p}{(}\PY{l+m+mi}{4}\PY{p}{,}\PY{l+m+mi}{4}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{n}{u14}\PYZca{}\PY{l+m+mi}{2}\PY{o}{\PYZhy{}}\PY{n}{u24}\PYZca{}\PY{l+m+mi}{2}\PY{o}{\PYZhy{}}\PY{n}{u34}\PYZca{}\PY{l+m+mi}{2}\PY{p}{)} + \PY{n}{U}\PY{p}{=}\PY{p}{[}\PY{n}{u11}\PY{p}{,}\PY{n}{u12}\PY{p}{,}\PY{n}{u13}\PY{p}{,}\PY{n}{u14}\PY{p}{;}\PY{l+m+mi}{0}\PY{p}{,}\PY{n}{u22}\PY{p}{,}\PY{n}{u23}\PY{p}{,}\PY{n}{u24}\PY{p}{;}\PY{l+m+mi}{0}\PY{p}{,}\PY{l+m+mi}{0}\PY{p}{,}\PY{n}{u33}\PY{p}{,}\PY{n}{u34}\PY{p}{;}\PY{l+m+mi}{0}\PY{p}{,}\PY{l+m+mi}{0}\PY{p}{,}\PY{l+m+mi}{0}\PY{p}{,}\PY{n}{u44}\PY{p}{]} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +u11 = 4.4721 +u12 = -2.2361 +u13 = 0 +u14 = 0 +u22 = 3.8730 +u23 = -2.5820 +u24 = 0 +u33 = 3.6515 +u34 = -2.7386 +u44 = 1.5811 +U = + + 4.47214 -2.23607 0.00000 0.00000 + 0.00000 3.87298 -2.58199 0.00000 + 0.00000 0.00000 3.65148 -2.73861 + 0.00000 0.00000 0.00000 1.58114 + + + \end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}27}]:} \PY{n}{U}\PY{o}{\PYZsq{}}\PY{o}{*}\PY{n}{U} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +ans = + + 20.00000 -10.00000 0.00000 0.00000 + -10.00000 20.00000 -10.00000 0.00000 + 0.00000 -10.00000 20.00000 -10.00000 + 0.00000 0.00000 -10.00000 10.00000 + + + \end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}37}]:} \PY{c}{\PYZpc{} time solution for Cholesky vs backslash} + \PY{n}{t\PYZus{}chol}\PY{p}{=}\PY{n+nb}{zeros}\PY{p}{(}\PY{l+m+mi}{1000}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{;} + \PY{n}{t\PYZus{}bs}\PY{p}{=}\PY{n+nb}{zeros}\PY{p}{(}\PY{l+m+mi}{1000}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{;} + \PY{k}{for} \PY{n}{i}\PY{p}{=}\PY{l+m+mi}{1}\PY{p}{:}\PY{l+m+mi}{1000} + \PY{n+nb}{tic}\PY{p}{;} \PY{n}{d}\PY{p}{=}\PY{n}{U}\PY{o}{\PYZsq{}}\PY{o}{*}\PY{n}{y}\PY{p}{;} \PY{n}{x}\PY{p}{=}\PY{n}{U}\PY{o}{\PYZbs{}}\PY{n}{d}\PY{p}{;} \PY{n}{t\PYZus{}chol}\PY{p}{(}\PY{n}{i}\PY{p}{)}\PY{p}{=}\PY{n+nb}{toc}\PY{p}{;} + \PY{n+nb}{tic}\PY{p}{;} \PY{n}{x}\PY{p}{=}\PY{n}{K}\PY{o}{\PYZbs{}}\PY{n}{y}\PY{p}{;} \PY{n}{t\PYZus{}bs}\PY{p}{(}\PY{n}{i}\PY{p}{)}\PY{p}{=}\PY{n+nb}{toc}\PY{p}{;} + \PY{k}{end} + \PY{n+nb}{fprintf}\PY{p}{(}\PY{l+s}{\PYZsq{}}\PY{l+s}{average time spent for Cholesky factored solution = \PYZpc{}e+/\PYZhy{}\PYZpc{}e\PYZsq{}}\PY{p}{,}\PY{n+nb}{mean}\PY{p}{(}\PY{n}{t\PYZus{}chol}\PY{p}{)}\PY{p}{,}\PY{n+nb}{std}\PY{p}{(}\PY{n}{t\PYZus{}chol}\PY{p}{)}\PY{p}{)} + + \PY{n+nb}{fprintf}\PY{p}{(}\PY{l+s}{\PYZsq{}}\PY{l+s}{average time spent for backslash solution = \PYZpc{}e+/\PYZhy{}\PYZpc{}e\PYZsq{}}\PY{p}{,}\PY{n+nb}{mean}\PY{p}{(}\PY{n}{t\PYZus{}bs}\PY{p}{)}\PY{p}{,}\PY{n+nb}{std}\PY{p}{(}\PY{n}{t\PYZus{}bs}\PY{p}{)}\PY{p}{)} +\end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +average time spent for Cholesky factored solution = 1.623154e-05+/-1.166726e-05 +average time spent for backslash solution = 1.675844e-05+/-1.187234e-05 + + \end{Verbatim} + + + % Add a bibliography block to the postdoc + + + + \end{document} diff --git a/lecture_11/lecture_11_files/lecture_11_6_0.pdf b/lecture_11/lecture_11_files/lecture_11_6_0.pdf new file mode 100644 index 0000000000000000000000000000000000000000..40e3f285bc346d547a3c8211b26c74614a6db81b GIT binary patch literal 9079 zcma)C2UJr_x29K7nt*^1=|~A7B!u33?_CKHn$!@KssyArL68p8LKT(Xq)1VEZz9q~ zP*9NGd;#yh|Gn@2Z>@Ju+I)Lv_RQXMvS)pJICT}31weu#WSljd6(?k1fDpjl#+gh~ z5&+ahxH+I40U}sPp9}y10F|9wPzWUU+Xaq7C?ag#?GR+r(qvvJBm(YA=98Ihs^xAZ zN;!98@)2R$>2td2T3AZ$Y&3%5vql2|xAN%BlUwJHs?XkP9J4)6l-RF{AL`Fs&H!G$ zdVH|AynX5llRn>c-nkXa-t|SJJqL2~Y0UGc%Fc`3<*%FD?V%y(XZvGR0n#mt%jBoO zdfxbjpgo!&938G62KSAY-#bpwm-;j}(53KGsN3^F^;p{)`@0qjhcC0!-`{D>-B>*L zSOy#q#-D0zNk3!%y!?4k>X*mO3edxk0UjocGXvZQ%L904B$cKf$>a3GQG`*00SnmoL!(a~UD+q4ZHqlw4`SFcAz+5(A5Uwo#PH+iqv%$Io zmL^2RN_U0ou@L4`P)SGMeQR5O)8a(VL+3N-$gnnh(g86-l%~kk5Ya&}aPYm+9F8dh zST@?c5YaT>%4z4a45Rh79!FmJWo2}SOFBq~4(4b6{)^MwrCjovXw_L?&22Vaj+;g0 zW_IYR_XMyaOCsU0g%cRL@Li(HcQ*mjt_we$aPxD?<>0t7ZI*9H3~#Tpc+r_H@C)M( z@}{6Q8>BleTS-==@;TQSnn+*973TKIB6wPAevZreL|yy3g*sulezh^+Inlyg2=0RM z{KpxjV@F+7+SLGGbPTod@yL@hoS%Cts!9#o#WDB+((Ga~GJVS%@ylnMO)}rlKO_@> zfhByGUn{FVA@X6C3-8fxYjwieE82M+v1T-Ng=0l1>Lr@1I!0|Fg;@%6^<7c`=j^v7 zbr7L64^fin95H^@jY!Y;Ozfk|SMlF#<&Q5JvoED5lyt8xl1t%n6NK_`2*yjXH7j!f zW3}6Geke!m1&2Q0A)LXFqT`|k(la}z=jB3_QsOe)ey{n4z(G`MJm^X1}p&S;8Iy zL#w*p9#NwA_6cxGdC>5o^Jc23Z^`y7NQEsv`$#nvpv_3+M;%pZecDf%dQ18?tEcKt z3D4vBgit_c;%ebYpktr~jEMJ1D%meo4mUdpYUbeVC$d2bGf0kRj*QdM&s%p=YPKY3KS8w({fN2<^%~^N|SYEbY)Ll$qlvH!|Ueb62&duj=$|#bK89{wP&4 zbiR&!>1dC^+hFT`EpPoKRK>Zf+Of3riH&Q7ZjK)s6Br6}$(VJH zyOO1h@F*Fr-2+8$i`-I`=ABhyl_K@eTZki+I*su^Kik`)y==-@Tv{ebeIz*yD%!`vDC+m>=`%9?9x!5d<(Q)|N!=FRGeZzhq6G{SYI!Xkh{q^^iT5C2;N(W?e?eV$J z8-}P(3V8KV_Bq4f@N&1rM3H0C>%nE2j^ZXI>4Ea$PQ^AkLF~1ZHyla)0Q?&t4jg)D z^qx29N>~LJKHR9~5>l|z9XBi)h026F`@Qf*ckeAi6*!BXm2HYmTlzHCybWKVCaTR# zmLU^X6B@ZtFUcBxwV|y71Y@>%Nk}>3xi%SRX6x@ihz%a`8J&}3UaXz)2vL$0d@$v&1 z!p-iFfQS8c5h^d@1FIx@ps;ZhASrnPU@stC2wMOE z732UQ0MHhW{lrF7tl;-2P}$uL^|#vg0zv{p0LY)w7+VSZ`a>D?FJ%Crp|1x50Mvy$ zATAZ_!jTAUKcGL`0ksfzPH=g5AAkiG5(0>bzyM${6kv5(TLG&RTipwAu@U$k^;MAW z-X4D&$M60x(LX0*fYpkGyLowB=(6?w6IKJDklvT0xR|X1ww5B|zLPCNUq$|+${*9z zM|in=BW)30fD4o9|7}*H*z*6{jKKaH)_>cKT&VfIYXJd7g}}o9*qyAJ`kET9H9Ttl zne9%OdSmbk*adv0Lzt4DR?c$xOJ}iXG-rb8h;_SW1gOSlxSo>SnXryvBqH*wq9>`j zMud^BttN+{oSSR%$BeQPh>Zw^USeV@TfnYV2nS|pO!}bpb8gzX699FO*uUpTp@(y*`2=8+)Ys4)Ts$HF_#I## ze?SVe9GZ9~@T(x?0Do2gXW{1pYp?2=o33$#$+=Rjo13DF4U@ZPqCjWAVHVD;sa5?? zcxXzp*V)#wLwM2(X$aTUPgE<4;R7s~YSFqS|qbt){t!vY}-KDKJ{!4;mKT#uqK?7H7Uc=)m+MM_FU3rQtRVLGHwW)99^B!+1 zhNOtfb7&rP_EMR9y{5jgIA$K$dpmz6q_Df@1DQi{2;p;lJla?TCx_)SdEssoGcZQ0 zgs|}E%JcqhBe@$J5hJ1vuE}=EpNHJ}^0XUVYp-aN#nmchguhO*du4V@oJ;!F zgjy_a$=R~4t;h!*P;Rs!z4kq^}_9hOl zrs8`|Gdsn(##!Y+QV<}E>YPY4lqTA{q!h4U9hlmiU^#uq)e$EAwLiu|uo+<9bz?IB z42*e^aR22;%X^6!9Vt)DqhBFX{#A1PL4;K*T}9p*S8sl-*y!x5P!AnNzI}EiN8#ifDt;h5cQsgdjRn0*O&%_k#_)|eFyko^X4(dLx0#1vpos{e z!zo1^^v;$EEp4{5U1rX=k98Vaj?3HSe9tqtIeRz?8iSyB*Mh{Es4Nu zJ0z=GKkq5$)Mygr5U2-r;xXrvIkP42ZyVKKxqfG?aXa*O3yA@@&hg%AQPG4>yz$~) zrz4Z{-rQ6LVjA!4m79>qi8aV&m;a>VtQhN?$uY!`g>fAkGQ!eqYKX+@5u;7boAYiBww1`1y>0V4oZ7s z?jN*wFx7qc3mlE4|2c$sIC$k{oj=v`BNvu0Shf8}wu5RveruPIKM9MfArImxe~_|uB};Eth~r)Gi~ zLv+hz_8f=}GZ9QG>HcR^FVt=4$DN9$jxLf@psc3Zm$nN2z0!-eGexH@`AI0lt%Fui zp)MNwa$MWjxB<5qbJ*?bmcZpvyk6zrOg6i59uBYY^Yg#C2@B{eKAraxsS!OZ#*43E z*)R(k528Ryy_|Y7ReoRHY=zxM1bR<3Wj9T0kAnJsQ@daeRTeXwQTfN$wwy+ooL7jq zGtqJirFZMQ>m83YQ4zEJSu@-&?YC4OwD^9T&X9;#k9J;K>JnWV9IEQf0?N=o+LPG5 z;ZkQ1>qc@f;w9u^i%l+2a>Fy6%7m0L2R!1y>s6sOolI*V@pb)Gmss#FErMs9Kxy`A z(thLT$wqq_g*n*IIwG1j7VEcj;ryI}oMMU)Dw%N`+a>*zYb0CQvJ6ir%V*#C&oxRl zb!{OK!$)gnc`ob6R!duRO-pWFsgRe_dOCS1+tH3gpV9N{p3?7A0+JNY_=}MmYUe;&iQ5?JeTTU!B;>ficuaakC{vH*L-2d4N1jkd0kvv zRIE*Dh=SIggaD726C-Yib?CJhwo3%-&9y{Zc}11VjoNyjwHvT9m(!bctu2Ms_cG0{ z)mb)A2jBaULubO}K zE?KdgScR0Bmo#OeV6$c`yJ87KN=4n6bVL3lTWu15+5P$|4AO# zK)O1{`no=zw0R7g)T2`OH$Xm6W;1u^oByP}LqIfh-9I5PYtCWKS$CJXO|bcp-L^k4 zX?Y-Wc644W@HlJNm4#&17LR9|hqZ~d#Ag7~V7Bb?5&Y4x6Gc-r>HfY+MaCvpGJ(Jz+D9qI1s z39)K|W_yW_Ui;F@GO3Alw;Ad*cjsLr$I~j9wC9OL!DG*S>hlP_o@f`TiGB?py$NrO z7}R#D4SR}8Dv{NJ zYtIhudndi0A4^nrJ zg9)}2Atl2DXDGB~0*~yPawMPdxmUM!S6GTk@(^~oMn#3}6MLxx3@BL~}3 z!m{;O5Id5pgdqK%bc22uTs}&^?zPqvx8=b^>K3a2-4BZv5YL}+GHNr0E~Y8WWbaw1 z)pT$d!j_ZFlnBE%w0;;DVH$z5XK0g?TGQSvZmcA&tFo5t^pH1oW{Lz zw=%dVLAqW&KbApUHuBX(EkSLtpqRr%AEn>_gFvU?-FoCsz2r!C>h61#gP&m|pOm;1 zm((pFT*)r7ilemCi24niy;U$Um$QB5O|`$?L9mO%eZyKl3Gtyc`sB6VXh9^M()EU@ zybhL_=xbHzgDf*irG%s}#8pX@>zxz$8f(pZ76#zc!(RNon+K`Y4-EDfV;poe&n%*o z5-o(-e?3)@;zIGi=pXQXwAREe5PI);w?tFb(PVE|s4GTZj7h{}=xLCBT3=$Cnq}bg z0$d6(zN4}#$#+i*l}NpZrAAc?IFE32tE?fU24161b5yy4)qLbPPZh{YzigSDC#Sz` z7FSN^ysmqEhyS`7LO-;?;M!>Zo!XH)H3H@L+exjvZ7h`smw6;NN73Kw&CPU8 zgf4&G`5N%lo^`&gWHf8sYQlRXOi!COGq31->vXuz>vfl7-fdJy=3F+Kc%ZU}SUu8LtGx7QC*u&;4 z=S_QPmSvspj)y+vxuvp{J&Q#tp`~e(s#AsM0#wH`k|)0wyYzF3cv`~_a;a-8rN(;; zw;INmpO(T2`-`#-%Cn`Xs7u_hRktano8j%5^5QcQ^Ny4MAWeCmjA*;{!B$A=d%HPB zAiH+bwH}>b$c|P6E>Z6hG9*)At%~+z5BEUIda(rDWrmO0bTn~gWqzdh#SUbtA?XcUATb4u+E2D3Aj9rOx~W(j z)r+vcmFKy28YPJzZQmGWb7SfU?UlLr&xB~oxDRaV>fH`_^E8Lv^m}J~;&x`+7+?QsHNMQ1c5!qO!9&20Kr}aD3-^!5 zZ4U@p=zTO7^uUvJO};PM(%Ikn#I~`AR~;tU`V^>2pZbf+WUj7vcCZ{BxJh#S$U>IW z9oDwpMz_-V3`e&@7SU&J58I+o_yhu4nfL?_>8Q?(nYL)^O%_^Y+jAY3goxe0}E8G7)V7<010Q27;V?<%%{3LO()jc8{>OOp$)Kj&-7bYM9o7Av(LNCCkG4cuO{hhJjCr zizGjC$dSCUnPDPK+opZJOO;(*HTWue9~#4eUK}T(XZYNun`l_vMrlq<9S21lqucQW zMB3SgHJj5_o>vltG&@o|iahqnm&G4|KDK_|hC{fA=Pjbet$R-?mL9>FM2ZV7xI?>g zc3qH@&47}ilJT?EHrdy`M~lI~T=C8~uOD5*ga>N%LwYFZ7kgqHGw^Go^KkGah z>^$?F+t=Hl+OF{>NSh>78LevXy2jYCAjp$0>7M(#_WGCpRw=W}6_-74k~}fpd)e=( z8*D1r`0SPVwU$iT*unab+Rq4I+dbTD;sr6!} zRTAQD9x0vo3R~C=mhd<+LX{|U1PC@K} zQrkT%>EOH?as8_St%^C=>n;l|zuSQ7a!xiZ|<$;B7I^IHVCkn#Q& zy1*T<47KoIHRXTP*#aOTVIhEk2viu$#EXFeAYriZAH2323hv@$E9d6mf&d6zwv+R+ zz2L>ggkhJ(i}78Q1%$znOF#kcp^9*FaKuvQ*lsQ%0~Es57y$d-{-U7zXW?QxSV9^h z47lK||IT4w@b&+;#_#UDZBUn7y&;w*zp&ILDi8NUTr&Uvmt~xgUMK}eIPy;eXu|&} zgFwHh@=tREE*w^Uy zkZ=!2CtEK;cccUF?KQSSp3!nTG1HmBJ z|M-7mFl>(Ie`6pqF|5b_Sx;D42`e4?V@f9Vw!h5l>IFv!2h0)t{# z`(JudNI3QpM_!(dF>vxjT-fR&{_E%v4qU@}fl JB^_n5{{d2U*RTKp literal 0 HcmV?d00001 diff --git a/lecture_11/lecture_11_files/lecture_11_6_0.svg b/lecture_11/lecture_11_files/lecture_11_6_0.svg new file mode 100644 index 0000000..bb1f18d --- /dev/null +++ b/lecture_11/lecture_11_files/lecture_11_6_0.svg @@ -0,0 +1,149 @@ + + +Gnuplot +Produced by GNUPLOT 5.0 patchlevel 3 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 0 + + + + + 5e-05 + + + + + 0.0001 + + + + + 0.00015 + + + + + 0.0002 + + + + + 0.00025 + + + + + 0.0003 + + + + + 0 + + + + + 20 + + + + + 40 + + + + + 60 + + + + + 80 + + + + + 100 + + + + + + + + + + + + + LU decomp + + + + + LU decomp + + + + + + Octave \\ + + + Octave \ + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/lecture_11/mass_springs.png b/lecture_11/mass_springs.png new file mode 100644 index 0000000000000000000000000000000000000000..259a33353fa69e0a9aae47f2b0c210b637748773 GIT binary patch literal 5031 zcmZ{GRan$twDu2&5D}Gb=?*DrhK3)oN-ops#Dy<63Yl;3)zA`z9 zLo`z%GFX?Jl(*36{)1?v2|iNXRO(n39f=o4M#jOT8^g^Y`6ns7caH+mT<+D5 zjG?N#buFteNFuqqjydf>0zfzI)$%RS^{)M+Dlm2rXg)aLtDw#Ir$YYy(J9hY1Qdn= z=BGZ!S9_hp^mn)5VtSyJh@+x|$3Fpr3li|wfjHd=T<;@wW&oMU2=W!BM;kqlxPnP% z2nY)BcM1qi@)^by#mz#U+{pI31F6I8m_oUIK*xVb(w^Wlvv`HRA7Ijmlq!s&W~J}N zcUP1lkz*r|l3z=Nu@Mcbd9$!XB=tf>nfM2^2kMS_@cMLUhm z0^;wp`U87@93J_Yx3Mn~GX^L0Y^}unL7mwKaNgh}$mPOrAxuwRj>#;Sc{V% zKu~Cd?>67>J7j)Trev*5;U8Suus`DPput2fXm+UOvOLr6<<2B`(g4_#8bb6`97-4R zWA&Hx%V881ct6uKf$6~54s`@v=}B}!l-!5`C{?j7unIte|=eNpN(f!%)P zg%kL!Jq(d^6MUl{%3Sztjf0fG0g5(2Yg#LBRC5`_%u{(kD~M`;)cc#gE&EMUs39Xf zBg6fAu%Cmlzo(96r6OLor8v23ANg_ zBIGTcNi9yTuXRs9<@Z-D>oh@ak%)}rWYT1gWQAl*a#M0TTNqz#@fQy`d*hIiopFMZ zC7K-Fq9>&1kDe=5MN<}UqOoW=I;L0}tybJQP-l~EooszF>@_Tt-Z!{2a5402;Av7j zvovRaYGd;HAjNPF%AY4;Xm{Xp&^1ktLyoI6Kfi3HFtJ9b+Rgmci=<-v(u^{r0v}^{ zgQx=QqSSm?ftSkf=cdV{Hk^%>GuL~*Hoi87n|z!2o6MW+6i}2r>K^J5YO8|$WxQjR zW0+&!PFrSjX1Ym-N!FbH+Xg8$S&Qq$3*<#%c!_G=SC=@KI2xz}RD4usRBY6p|8rWk zLAXKDl#+9>n3}ZuW!*_21FRp$X;Eshl`Bx;RFakNZ}iTG0)gtQn0y&m`Sq{8pIQ5x zcCmKCz_gB1#Cyc28&lBp5W$dZd=UQfLnv_yan{2;8g*(69R>A2+G~d@_=rf&b3{vK z$DHrK=AW{a%OAEgdo$>TeBTTS{u5qwp0m67IkFJzI^`nfRAc+}m4zMn>no1{iQ;Ti zN*^Ns7-vcGA44!c^a zoz4BXT}}bj7ju(Mi%TomUx8hhn1mAT@bU2uTua7flVwAMD&iagx_NjTcT;`C2-*V; z-OI&u#Iwaa!HdEVBWS|q$Ct)WCm>RKsMs93K#U@W-p3NMhU0}jkKnKJGsM(Rc+GK9uYSH$gDKJ1G4<7z2)gNcx$!y^eys|c{QRyw(=Bq zaBe_v9#Gm_hi} z&Fxa`Xzp~K4@>QLh@E)Ehz-prC%qe$z~wEX~Z$T!<{Q%eApV!p-o8`Mtc5=M4wJSxF z(`OEuE~z=+KXZAdZ9o18@02L8-Jm^3Zud4|t?;OCPBS@uNI+kJ%EAJZ{LW_8@!}`O z$$gsRQtU*w^{L18t4`P33E~90PcBl+ZQw437LVbJslNHNPtO)s7k+m*d4F=6@Txne z`e7**F%tfH|HJYw#?`&^ozLi>O_KQ}r^ob+3jy0FfA+WMzOAagPk5RTmO#j;CYS4* ze6_LoW3NFKmN2?-fj5T z5cNaj2fxTy5h}YJyMs=PQ@ZD$!r?hf^5DI=vRd6Ibq9k@XsEQX9Z1PlXz-ppN&uFs!o3=Ith0Rn}I zZ91j<^>?!q6C9!k1pq$|06>NUz{TAbavK2N3If266#z(O005O+_Gew0yTrZMnrh0x zZA8LI=UqhT1~K-$L&*O#)j=olokQTI4pkvoy+;MYdH9h#=je{cqOPm}^O?iu$kiT0 zD82@T7|h`lYJrGN25S@TEw3Kv>Yg7F2XN0k;{H@DGU`o^;N=3i4d+<{{Ao*9Kx}zd zD9C($9JGGaK#62|p;tWjg9NxA!`!bTS}zM8&pymPKOPZE>j-JN&F)iF-oSLH_h7a_ zqHc?AY;Tv$^d!c&U}MMJO_~a?9n9s!V|&3<`#QEA zY0TdR8N1)GAXO|(uE4vT(U#$HTjqd=>a5S?JJZq=qtYXLolr`*gtv-AzaIJ&!N8^X ztvf+}v(~Jzj^oOpy>C|25;?kJplbbG<8wW2oc;*B0M*&QUDBVh3>f4%7hS>7R^`pC z1D=fSW>yDQR|Z0R;Z0oa*!Pv`tJN}m-g)FIV?dlH zVkGE%%>70mF(5uh51#k$c0DgWzRIALnIoo-DajaGDhDSX{06_UbOHLwQ_P;rr|2D` z<0p6+HugJWCl8~du`CZr!8386uSF}$qRNr2+$+D^LTH4ZKykG3@~;P^Y13@MD!dib z1Ii;t`WU-myxhvGmV3KTB|06D8AZbWLAvC)@G$y_M1`>nm?k` ziW0OQ2IOhWPTO#J786AJ{7BYqSh|EmXU*4pUh}86$_Wqe{;gB;TANlL8AOJ^oNr-c zQ|=;r+&pV;_nx!CTZ0F*Kltc}_qG=*AIsv%H(cYy^eSr6vTpWfPj55HOVWr)0mN(H#e=(-g-qQp-uz~eTU+NAhrDgh0+6^Cjhx;%ztGZb z{L}Qzw-h@PgF1aI=qr1`3AN= z)r7r_C{^0j;A(N?nGTPPyLz~74Sa$LRNSTcU12q!_BdQ%HI;zGd;7C5siD;NXR&!% z;V5%17IGJ(W^~?u{S=-4fUSj9ed`057srYGudOZb_W(|$x>4DlksrzPAadOn5N4R(1Xh#EE_CqqLv@EB5vgw7 z)F<;xuP`;X3$~$jC7UiM79N8Wg?7I})y=i|0j+KWeMjpz@Pk<$nnUMJbKRU2AxYhd z=!wX}-R*x7ttPu6Sp31$D|v>3mXwxX{57>=+_%Zge|}WXqWS7a1CW%##(C6SD<3|p zcvJhv9ld31CITSwBHJW3RA5T~d>wE3U!VC{bm%?~{VUJfX1D+Oo`;=gRz#U^RzP+j z+5^zOZ_-q%;Z#cbeaz8X$(al9S)Vp5x7$S1XEA9RI)s_mM1@dze=qy=<5UKV(OK|EP+VaH>@ z6?&Q-q_7{C$!Yh+T#_-o;HkSZWA_CGK}%&#eVE+w`F&psYiCw6`QQ4PUJb;=e;96Q zm>VMti9ev-K$TmR~-?*3+Y2JT-a0Mb)(g!VD&rVWKBJAhL2GxGPQ$826Gr!=l>+u=zpb~RsXI%s z^g}3lrEP0e#tYhb1ff30H)rfb_DPGKU%IGfUqUETqUL~DiE0AN zo2%7!VD@jVh7=cqIhZ#kzhC=zSodf=S1m3JNtkmUqSS0Ut&U{bgHso6GiAK(rX9|_ zve6Xg_PwnAjvJ2tx3k{th&9O|an-R(4l~qjM^m6TMvR@);t z*w{t!rRbN2{e##h28=~XCNEU69lMX`zyhj!`|o(EQ8x826Oy7)kR_L|E0R5Jr>WKT z6eanQ5zRCImoV(s8!r|9Yf2nh-M2uTX^3i1n8c3=N@82bND)w1!nc>^d|yS}#J f7ZDI-Qqj>@{m*%j<<`1>#{<+=UMSZnS_S_PFkFO! literal 0 HcmV?d00001 diff --git a/lecture_11/mass_springs.svg b/lecture_11/mass_springs.svg new file mode 100644 index 0000000..2bec8a4 --- /dev/null +++ b/lecture_11/mass_springs.svg @@ -0,0 +1,214 @@ + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + m1 + m2 + m3 + + + m4 + + + + + + + + + diff --git a/lecture_11/nohup.out b/lecture_11/nohup.out new file mode 100644 index 0000000..838862f --- /dev/null +++ b/lecture_11/nohup.out @@ -0,0 +1,2 @@ + +(evince:15386): Gtk-WARNING **: gtk_widget_size_allocate(): attempt to allocate widget with width -71 and height 20 diff --git a/lecture_11/octave-workspace b/lecture_11/octave-workspace new file mode 100644 index 0000000000000000000000000000000000000000..2e1bdfa519a4a95dfba5dc55851ecd65f7eb66fd GIT binary patch literal 178581 zcmWigX*iT`8^$YHQbe?o6j54eQz1^t79mRtDSL}3DTyQ^OQ9%{O7`$a*6e%secz24 zGs6rsZIV>p=l!7L@P+X__kCU0`8&@m1KZoyZua{Q>^r?|`LbopP7q(qmMw7+|2SFS zzIE08-_p{O9r4}&zqnIZv2jZ3M{UHw1h_JfSFgIA z06|<2N{|?V%Yl|VHgB#Wz~AH%`GKqs92C zcrmWUKW#9-+zgchaWl^?GZ0D`y(RN|92IYi?N_;V<7Q%bjLZTBk=2sgRN*A}*8UKX zl&*(owUTi~;Sh3)^B&kX*I@X{n5e+A9GtI--1Q@m3Qvoh`oV3bh`4VqBwsv=wU36w z1T}}jYq`6H^>!BUK9z7Iei)9?#h=HFa^dnq-NRRqhN~|Beanj;g1~9tkCi+mTI(;=ZIi=6zwquv_Evr9WfvFLiYiC?Ci0sh!6y{xP8QyRrB`X&R*VKe5{IrW41j zlWu17&tiDlw8?IZ2^_LE=C`NZg45KMT~ofr0{+Qj@XE#CJ!d!qT3F4I<*0L3Tg)bOet{Mdu_9Y;0!dM zm@(tEoAI-#c0lRFG-}e*%yzyTN9I_^p!}R7kEy#(R>U?|27ZZ{Cz=Gc}1< z15?6=>|O|OE_OLco`F4ky}z>WG#t2din^~&;g(U5G0hH`c1=hY+( z?HOl8d~HO^TD7vhE0Tj`U)&CCiUU+%@Hi=SVaf9L}>iu2CtPeTZ}RJh`mGZT{y2ZL%h z%tF`y{+>kTY?%BpaVsRAUoP*v&qDv*L6Cpi@ATz8$W7D`9M@rCac@~iK*Kn!8~0r= z&Y&Y9sA}&=^-(C*wH(cHE5@?M<@b|Dn20a<$j0bre0!)y5@{WB;_Ba;Lri~^ap(6Q$`T$*=3Emu|_ZdW;c=c2K+Tx@5q&zw>%?_E9(95v#g(5!l!Zu+mwkP!r(k>K z#$TojDt5ko`$RxJ$G;y8=me>RJ$wr zcpJxfB70y0u%9yjmPo}VwPmXW50D^{emJ2sViG~-*>~K(^yAXcYb1}A6ezgrM_u=s z!2YAnd#+|MVcHwuQztrw0jVUm(_T90W%tFVS5RSc{ZQyR=_$PH=l$?NhJt&RoBke? zAB9oh>Z~1;6s%k5yZ!4+71*86*X)>_!s$P4+IwG5;>5-Drb^lrIM>~~_RD-6mT%v@ z5De_ZY=GLeO)E#xv-YRi%g#wiQs3>N&&*;X(&e6E+$>t(wnf!lBSAGuJl^^xQSX9% z18lr{@g)5FhLaq_uqj^gvg|(b^EdLY#B(ZQ#7&jH+jZglb-jyHTSpM4KRHUaVdM3J zqNt7kBg|Hgm`#jygX7X|hx{``(2Q!UIzwYY-kR%Yut-0oYWMbR-a3xUUH$tu&CbHX zLNeNG^L4oDhz&o9XTl-kXtqHgXk@0yIN+xvs2WQTC6b8l0X zLI*6BcNu3BbHms9sK{b98bCtiW)`n`QD$qm*~i4{dcxszyt8VDg_)Y)`jU04rvcTfCEK9vK5BH1UaJtndC{6OQnwjP88 z$`1SRF>yrZ-=y%?&+wNxr?*Ukj1$iC7CzyFNIqp{3R$awxaZ988C8bi-cTydYk_mH%&T!kc} z($=V4vK_+N5?`x!i5c|0IzVYX^Z_2d{PjchD(uRizIkuUBvL=slEU(sFg{!9^&x=h zcP^>ST;g+Xe0J#Bj)PrLepAq*szXKKy4`LETxYQDki!Z=?OBu`6=;k}%U;!1<4zx$}jDSABn&x8)Kysh!;u8e>`c)9T9 z6_qeCTQL#xo{b|yS8wc6Xu`*5kjka8Aziazb(VO(zK70Q?e?yPtx8R%VMQTkRVwbc zuVTV;XuNAAEWgWenH#BBp6LF_^gbyR&@vZqNFR&ns>R963pb?TdzT+dpjd zFBaMuHFV)rHvg(0yGL=Bbgs~9U9*xzk!1LS7kWo4W^;(DU_@hIz!w$!;PPL zSs2SQyK=2`1_rs0Dml!C&~D(sO)(mVQlZn%@Ao@U(RIddv-%V~6&_u7B(dPzc-M8} z0|TB#M$SjGspv~c-eC535+)hBp^C8-tUj!!b>`|2L{xvYI?@=pFZgBqc0&^WQ6E+h z%+w*jSln-XBMrG;tMx>x^DsByEhP1E6p`9dEd}N&2nsl&yKcS@UF*2Sl^;(+e#$Sf zhN$nE*Hw3}yHA0?++)ve24tA;P12ZH--@{trMWMkjiXApQ`ba)1P-N=psY!Q#EPp~ z|M^y;i2H#^==N^#$^AA@`4)j?tLE2r%+gTwL?BsQp%b3b;SO_yQ*e4L(dNR{g+@)j z^8Lv&fSfj+}Z!!ei^I^?UXtLUQfJ4bS%GLO)gLP1-T3&uYp#=_xkG}9T>#_2&{vcUz5;mW*w&a-C;*?@ee(F&&9IgIqQs2Y| z+10--<9!qOlz*uPEXLsCt=0m%G7BB9;c`j8==l6I{J*~vJ(wN3R9Tt&3S+!~%i?pY zk-WYs=9q5{^b?$n=QdQq?8o?3zj-QpPydpL+1G{5+=cU6!d>`OIBz0o-vRUbft7xZPQ+NKK2B%Tr@h^)#;F}eFL*jgarLVVqWv+~3&YkOgNmdU;?+SUA z8fL>^D)Uv8VK>B$t=x_~cEdD|Wq3+%7PIxKA$&)sFqBrAbKZ6u$$v{1j@@7&M1HGx z6Gs#d*tpSh)h0pNm0-8P(T`#8!Rq>rohZ6=;*%E9hn|>!IkfHSAY9*F&;}T1*#eCAFbL+8wIKB|7x>_;}_Lsm{!$JKh zxmLG)Zmf+I8#=Au3y-~zpW1g# zL3&S==MA$a91$F#okkk657)R`mJDENmxRb#AEIvsAFU1LX@ySuNiChLOtkZ_-@f5} z7aX_cx06qFq0M7Qo(3&y+M1^JS!K`lt(`bDg}@uh%w`(3cr+X)fGAaEkhC9IR=)Ig!bHS;~OsV|kAw ze=@<_t5G;+T7!x@vV&p}14TyF!>#H>x2@UVz{i~pmTZLf_!twn&eV%cInfZwnl8BS zHiM_)DH7@=8p>1R{RdR)v8ct0-C0tC8{BOtp6+5IeSfhDzsoqH8Ta1UEh1c%qa;?9qVvhe%%78V+#YsXDy^7+s{EvGQw1^4i)?#; zWR``pm%U{U!jl*+GS!H>F#(}F=O4cFAz{Vq{fSr7KVyY^in>^L3y!|G(=Rva$AZ91 z{~tzOSmUUgYf8+mS!=k$Wp53jnfqV-izq6LX`6e39A@$Cn?ThhQO{U0ob8WWYw%i5 zfgE%)5OTO|$Vtp6Wt5}M3hZ$>ZdpNGp*-M@OX%quT-)(T+4M7U-@Qpgv>(3s z8nxWbnnvhc+rmKXB;NVTU6Zk5Zo^-Ai01-K~lczNQERF@}JCuD2IA6UE5mo zVQv7CXI6(v7gb?lK(irHW*XKR{H}dMeYo14Eb)w(D_w*dWDJ&@|{3c)R^A#INA%@9KAofi{8PODsvvR-_il2x-TFZRhsNI8ZSyR&c0cfN@Ml9PTdDTTk7683 z-^Axa{)l52u7^d-kzsJk(ex*C4CD6k6bO?^+}6KA2K zL^R_se?OL1&+H+SCtxY;tUpflcaNGSX|Hvyxc4m}MC@J{zFyIqu|G`+ z*m!-%8ls=SR~IBHCJ|h7jrMWZ-Lv?5>xudr2|^c^4Dc#_9LEFo^ASHDRzp0@{P_6P z5X2fz4~bgN;HY9*Nc5qx#qNXMG(_8U={4;dLdkf3zm{(iA{H|0x6sP5Mf8zM?ji$fbr@LC?DMdi8hSOuH5(qPFZtJ5*JHlG>!I5F5ilpcCmM;mkYRgMZQDC4oO{Lg z$~R2Ie?WD!(M3XU3Tv#)s~UmruG?I`%#Roz$ou`0I*B63Jv?>lJqW0@`53=r02?MY zWUmlv!QX$Y<&rT5(y5s{**}Q6ORjv`*HvVgP|9?9?5NNe=2xf}q@rZ<`Eg5af^Wuo zEu{1mAl$@q+G4y0sUwugTw5lbM#XM!k7i>7Z8>jBYBP>_O9iy*H^So1_bxgLK$Tiw{|ee}bs#VF8lexP&X9K*5?@?sX;vT*r^OL3VyuXEv9pr z1i9}Yt?V~Uqb)2{@zo6~L}M1h`tzyytsXd)^|1l8g2_>kTTsrgD$$c z2>#+s)qXgQy+sWh-PETsyXD72qtX}@WmShgJW2=q5Yr@2J zXJP;FvUJ^=9{ks0M~d6R#?!DrJ8FCw(7Gs~`n$Ow>kn1sMe>a!@}9B4bK7>*y43wM ziJU-}ikkOOY9n;Q%gck!=~y?KTBbckL)Tu3O%Viluso~!c+2J)7>fHpvo0LKo*0Hk z;PnA`3I0j_);|o%4}qO)EBf%hM&77u8^I^?x+~U6_M!gH>H&#?9vqc;8T94DBTj2S*Vw%S#556Jg zpRWI5K`khBbb;WZmVLe7RxtX}T|I2wU_OF%Wp9VVZ`OfpModBDYb`?OGWT_cu(6mL zD*Z};4a*0-{Eb9?XyP(|@!$jvpIZweBgn%z`!h65CS(L>D5I60_h+D-g>NjmNr*f4 z?wJ2eN2|T)zn|{W$lN@4LCU=e-`79e)BCm;MnQ6M1{Fqm@!vhGc zwKaM1gbBGMUz3VTVh%Fu+`v^r^ox4`+q2bONMEXKoxM4Py9*!th-pRwj(0>-| zFFw?{M(#!d$8Y}Jj0|uskb0DKQ;^(xeTQ0TI!1fFT9*GJIDbQ8;9_DMA}n9+5SH#m zTf4aw$2{Tpl--o{3TNP@+R95y#hs|gT5sS{I07k7h10?Wx74g#??=5;g9)+e$Abwo z$WVOo^%R5911H^rmhGN~uA$XLjYBWa25tYca+tW!##wi@dGhf%{FYm*Ne1k7*L<^2 zB<5E04+~v>{djfNIMZ}-6nw%TtFNq?L5Q(L_qF;-?8&$;J>!#$ikiNT*a<4`@OM{@ z)sTqy)p2IO>J-Au4KrhFs_{8i)xc-#B;H+nd-?=_E6QK|%TGDi0J#%w0;hvWNS{&l zyha{Dz_kazeJ#czZ*rnOV2Xqwr8RB3*Qa32+H_G-t`rj)(xX)|Jy7~{|FU!k1u^@- z80}@0Ax&8_&)>ThC){)+Vy$R+&vU?fUHU9Ce6u!XeVfMfD&vlM-fmdV-nSPcbhy{f zIO*d$Y*3BQeLE*i!OJb&4T%SbAmn~2xaA%LRrbl}`Xx!2AGj9FH#&*&E2G@2ya!>N zb>mIF92IRzxt*3D8HiapAG@63q?>QtE33_zChFwN;i95ud}@`W#C{)v#Cex`&Y@;3 z=w7;_`m-Bavg$VULI!fHB77_)%W(MP8xzq~Ha4||pDrYHQPhn4gA<3z(0Enf&{)%h zeV=nD4wUv_)#qjX3(q>SkVyNPmO6&;H!b&U6q`Y`l;!CJFO1wK-v3ZH4G!W<;ZN4E zvAun~%gU96vTn+yS-XB@wy(Rwl|;Em}AY&J(j1+r0bHa{c|UEo+$=x~LR* z_D(g-^Up-HxT{gZJ{t06%_zE;XEogaISmi2Q~nh&fsp3GoUW=^xT$Soo()Kb?U!@8 zE^haK2bLrp739MheEkF73N2@fqj#m)#fN(E|qida>5;c63`uZY&>} z!GDHDhm$(l@H_f?!FoLd%G}$&t8Six)b`N$qPKnU5EPwad(GnZPW}U}>=}HDH46W@ zjo^AOQe?MZ&O`nV=U0YBT}a!QbYeK50r&T*`meMl!*gBGuk3+rBpK`~NRk}H&C*L7 zH3_|Hv+q{A^W!G?2R^PeXkcLRh=ommEeTA^)?{6$5g5m|KPg)Lh$?fV6^?IaaBJG5qf;aesm=qR8J}k{o*c=?d3_Y}{NY?%=lgM> zQ=(Ov)C0-)sndx{6_}qpU@FYZhK$(t=a)8-@$y;qJ=2~ZlpNFU{YU$R)joUXOWrf! zZL|F?wQ~wdFE;b9Eeoz!<=}SIHx8JL(_-!GB*X{z4O|>auo({Hq>~ZNg?!zsw(B$%~9B#zxHTx zZ!Ox_s+QZl>w|&vihHAc!+0dJE=<0Wj{R!YFXCNh;bZYE#E$4Ub=(|6A)D%e6XdC| zMS^ELRa>Y#Wx*#rU#RkXC!PxqFBmD&k)rJ?M)e*A*NX1jrkUw@$JpAjPKfXc9D{f| zR?cGQi(k9`lb|B$9^F%Yi10}w&L0;W?n7|HU(H&b7JR$4an*BD3pyC?Ud*F}zn357Lcy@If4$v*L+ zg1P1O$I-NG!Y5D-6c(pK`DW!>H3=3KHKE!-QhqmJGHTBw47}Q&KqT6!>eFek6Tfb1Sw)v{F zhwdou6z%ELlJCYLm4-sgi;JFL&nu_TcbFqwsncqVILD z;(j_e30vvjpH@w!aE*`Teg2M3+?NOwJJ}8-HtnxZDV@f{m}^pWJAylIJu71{G>w$S z7uIfsPZL|h`g(}CPnQyNz@QKJXY!%^Jqe_8n z$?^)T8amEi;xdhErDI68tZ8Xg3%I$;^zP@=5$dV+_L<`#iN+;jeB;F8=J10hNn)s-QG9l zxK|w{xSi;;scDi02D=B*@h|dK_)|K;fx7Eyf}>!a39)7#X@i;IkW^>V2+pr4^3iG~ z?%Q3-Qt_}P$Xz{DmUw!U;5{u|HoyDPb0Kcnl;BT|tznfP^2Sjq>>YUj-V9tbR(=+Z zu0VT;s8SB02fL{!HEL3Gks@etXKy(jH`?4TUCg3j;~vk{YND?vTRl7Ltric3(ADFG z#Qc72UikYe;@k$(52t-nA;VO>K_h##3DW2Pu}GP%*nju_SaA9zrut3?9ojX4w$Tv3 zi9HOkGOdR4qgWt&)vP(Yp%pJ~i&~$ICHVFIH*SBOiMiwCzno9ci2kR}IrvSN4O#2k zkt#g3xFHvpCP>t4DUIZ&Of5G4Mu!W|HPf+)bXYQi=tDJH6E}xGkf45?`dt|o^mGg2}d$N32VKI#|Za)RrnV&_{Oi=tvk>O0q?iT=9`&lHR5*@{%DDz zCJhN^l^|FIzfodU4Wr&(kXd$N3~2`q_K>+)=vvRHiRUB1>)yV%%>5$}Zk={A*hKJ- zFNKn-)}wIX+<7;$W&-v{a;ZjMb&|L1CM`r57{rzz?f`geZ*lp zjubMCrm555_$uyKNpO6ZEvZlyD6G1n{v_1qi;j zRv`IrxYYV`8W8fZ5Lj4e-pmtH;mOed-|jQ4I%4P_R&dl z2NueQWo!vQzh}!6;amPBtf>sBEtjT1h2^x8b-NzI&L3r534Xa?Uuvd#ZWxbWk813W z&mis@Ydnlng|;%TJ{$QKJc$av@-KtPLzpLiP4i$u`BY?=>k$?PPYjl-^HE@6bXI!u zDsg|xSj?=eJxJ%)e34K1_kZWQBDb~lV_SMjMt|W9^jC0QI{mg0(jkIl4DcPpHKN5ctWdVL@_6DOOgL8*ax*c@>9i~LR+B*L0v zRy=A#r{cwgPu4_#-M8AWZ~rK~4I<@h%RAA+mXYJJron-|)}OYr4nvcQEzU&W`I-9A zE{X7MZE6g7^%Cn~^h`B)V8sLuc3zAkzi!3P%-kBu=Om0j^zXiRg@M)|ar+s%CfKoK zmZLS3&>aeIN0t-!sL21)J)|hGmYasMdX?_X4KpazTG)GYCy~GKJ=FBIz7a{pI2ydV9}ldKmu3B^ zf``nu3ywtItgT(O=&=tSp38D}eDEN6mWUW7W(~p5YA#-0-!=@j#|MKA)0^=1H{Ur$ z%`se(6}oox4Z(d2K8ZZ>Pe2`u zXkQr#2j+Qnp55+(>}rm0d`)z`l>K_=MZgq7bH<-dWHDf(n!e+N&kTlCPuWLS($Q46 zNOByk#jo%^d}Tx)P2q#7;e`|;Z{*)ov{jCcoPcdXKSOCS=CE7tbz=&9g8%vTUCV{( z*u(i=!CB-sSJr87C;W&nR|WV#OrbfxF~8QDjY9*LLzcY-h*|r*XoGVp9xorRxc#FJ zVU1j|T&sxZ+JEieWZh-Bcpr1G=$-__F7t1oQ$4N@59|n? zh2q}8eJUJvU?eN}UVcU7p43X61dlhu<4@WT|KwJ*1&c9PUTH#W<&!%v)g!U|-iVV@ zU_Y89rQ=R&kYQw7C3|yaHL{rQwr5U^BHXS${6pt7a!+(ynFLH?dd|n=p>7ZKoS2_j zR?pFTL&U_;jnE}89M+AUe*>}j=_DH>ujcjd(mCaUNw^l@nT#muhvhyai9n)%mox>X zbkvsP$2YUHnK4W-JuVrE6ZxjzyC!10cFiD;&s~3LbOL@Mwwhj>SrDzfa?6{@Q5^X$ z;z~~YfV(zTiNXMHXp||tyYCAT@AFSX#KSJ>R zzh~z2S9jp$1Cy#Tf)B)ew|=3`Uyi!$3~??EA`dY3RIN{(4Vq$1p0{^)1d#7Tu^vV=Y;{iR#lM&w(EsZrA*IfLL;IREv_z!ch-l7=cCbVFBdua(Ws zBDh^XmbLFc8rJ9DxstGU2u(-A%sC&lXvmwJ*Nu zz8V3?ma?^u_dgN+>o%?TVjl!3V=f;yQ(&@PL1OQtY1n>Xm*)|F(%qmJB2D4rxMn(~ zy7*)o{}NyC7+6L__wll=ON04X^)*aA#AFq3jiv?&>PPLtTv&xyQV@so~^Id$k8_R`(8n#i3w zsHxuOnMTAQM`qWn9`Mqh>a~tBU|n=HR`Ui4ksl{hC*m3K;^W*&+0~6Gk0ZJ-TPI=k zMDN-=0VaO&PE0=h<)wy9 z*vtQxOuW&B)|YOFj}raI^U_7x0Fg0BW~vzfweE)(U74L_I)m3FjoaP|^)Tan;L&<+ z5HfwmvXAv6Gje0^W zJIT0gc4BflF{fNKK7FgOlY#csV(DSG9waL}`e=M2xa*DerT;EbaBXSN%y@7$6#iBG zari>y3pVc$mvOv|!};@O*}BtMocM8Bx+e!^x5w_x4vu5tQ1UnDjZAPKp4G|TLgdSK z+wc}ncVaN5xjSK&iM?z1%hHUQu-l{QL0&t9UTyBX`C+5r+%kOEehmduYhBMZZtQ{W z`Sh-LD?g#!kQ$V8i^yHPy7%j#%Ov7&O}NyVR-@*unD!k#B2QgCJAV93J6yu)+_?3$tX1XF8z+1 z(ARSzTlo&nVu-6~Gy5F{LFF|ZZI%oqYhD)(oTMRPv$4VNonxq%IwsRs!iMwk)H&{x z)ey|>ALH^Ifbos}KhAr10y}kurC)X836E;4%}gGeSdVTtK550&bk%!{EHY}!_bWDC zXP{umRD_V_6jnu=j~}d?By>RWKY4C;HiZ!LT>6HB9>+$=e>lEP>~|j=bxM5v z4tRqn-4md@JIkvhy>d?7uvd<>5t?Yt8Cf(hAGZV9I(+93M&+salVXL!)b!lRkU z%lq$`U$o&P!;tgU71rJk@aa4Lmb%;tig8p}_?vw6HLrfqdc6g&?xvp)H=o67X<5IM zCPc0?xVnhvMKd;zB_6kHC*j=j{Qtr>41v1ykHyNzWX#$w`>Q_n5|=H1I3~Xtf%CJJ z^U^6)Y{~VnAQu8{+x-`Cef7KH^rdQcr`E2q#-L_3-8Nh3|QRRE*7^vG>lqkt$;`gHi!KaD+ zfPB@#Z&@Fa}#;Wo&tS` zQW|(T`94|`{k-m-xb118ZyNawX?B=2Bj8bNc9>>29JE*XKV6lMup8~&>up%T@d!cD zDk`3h^Tl#HPlM88CGyRXV**`56`6yp8YN=@e+Wr?+4HOgyig;IKK7PRv_fyUm~Ve;<2czPqp+)q|Sx zU;W!*pL~)mO8BJf)%F)po*BmSuRqVN^zFl|{x{kSM4bz45?H@qgn~^6jW1mEV?vkn zX|U^QHr%*NcL6qg=H#VlL>Yh_E1|H}a}0`RoL$1DE}h@UBC2 zi{Zja#TkfE4TnThdlC9A^o#9(1RpkPlH}qca`mx$touT(D#E*WPwtwzT&(?cM7y?o5G_V?9y?CYB1>leP*lwjo_C3|H)ZxhU)he-B0+=KNp0;@ zqSGik=68ql=n(8~Cg^MDR@@J7z%LnY=C?8;hmqdmTT)5nk+lUj zDg5d~hDy2Mt@bfQ`02$s)t14e)cC(mqXcJ~sSY~vU=St$$qj`T=A(Iou94C4G3*WO z|H0fli#d;QZ-d}*m{+!M&-)dI4bn-~{yNRz+Om`L<-KMk&oj=flp%7Q9pQ=o4gK)X zmQM}#>&EN9lmquN{4w?+^@8adI!>v?q|`heh4QFytrg)jX2fyx7c~ze@(pijPj4p3 z-dPS=gl=tLy{sVZ774@R!ZOnb3lOrrCV);K$8N_e*B`coZ$t5s;)xnU?&FqBuRDa^ zxbG7zrkM}3Gio~4I~WL;ceBX!tA~8{;h;o!B2N=gqw(l{4y=2g+;=8&RdXhNVmyQ{ z-uEG5b$)UreC>5RbVHhP+gCOH&BYnCt(d4RQ6-_eV{_OWx6jB8yDt*++ygyv7xSO@ zF%elcc|lnq3%`pE+njH;frGv5@bTdhM5iPwh+Le4&W=~x&KlLD+w8vBh2lcY^h@V@ z5&7byGJV2SA`hiSi+azgM21BEn|IxWF5p@)z{ov9KR#J{y>ge~Oce6;3S1digJ`ZlYT&4`w8<72;V$-}Zj=fIV zULPVR5gI*Z;Gxli=gULm2UA9&`DL=+>qjDyThY(ELilQtrw6yy+oYjjn}qjPqc|9D z$o~3Iqze)UI$u2sBjK>)tAu_cub7};R=GcA1U1`t8d3CfV7SLvt6*gp)Xh^mzq>Gz zvn;|chscv%n^pR2yI7BmPQ$x%gf6kzQ}OVS7_Gr*m3{bBTS3*9qq$o_1nddah!f z=OEJZ_%EmZnS{%j#9hUGQ&{|V%PB5!2(G(JuOy!yKyE}q`oiT7?2#+o4`w%ZZ!UUs zgUE-S9VIzCukAs!r|HGYFDzI#e|M=pHICK1r*4IF^+VT3k)z}v2_@AMho$mLaKMm< z$L>!TGR~%wLSwqYwK918pLr&j^pSk7tdH=Sh_s|P6FGuon_pz9QJ}X}Mc<(pi>+nh z1J{ULcm8?xdmLt6h|oWsF;iX$x!L)j4mbN@cwgFWitrCB+I|HdAoj;Lsy`4^pPt0w z#*~^vZj;DfYm_BFHw%$m>Rs>kvrt$Q!2Q~iiY65;1xKRqTblZn7E*^$$HmL0Ei~hr z-u+t?jdu8ZUS(}=o5B@A?U<+`I(oz3KjtBF+%n|+ln(!4c;{0a2iA{a>+;y@w_S~J z)*;(971ki)hW+LI#$hOTkTmUyKB2IB@a(gRQ8a%(a^GvN0GcNr$TU1A>g{TSbrgMK zFYpfG|GXw4o432)hlhax+pfkhs)RnF=)u zB3Gi>p1t+p8w{;#?VkEd%z@)Fvd^-KJuLx_*zan&VC8o%t0DAn=5h9@Yjh)oJRLd{ z*u**AeeCDxHp1VSD5?KwTLsO{5>jp*lV}QC9wJNZ4;8z4i099@LrOJhq}gf~1zSpG zbdNQmVqEoheQEXzly5xa!paHtK(n)HY$Fx?*WUI++5Ag&PjtNkpE<*soA=O)sH0CL*nh z88~E=X{PDng&SF)xs`Tx!B(`vAz^MDO_w(|sOz=i6hCc{GDE??bEP*-1zNCRX|U&9 zF5%aT3E#<9YXa?di<Av-=TO2{GEai#Ov!}r9@E; zB7A^9{#EuNjbuEH8~yf7iH*GA}zy|UvTLn2q3J$IrS5g+PK6%P#KC!N)N zFrgYNKKawvttaE%{65W?VOtVX?I2g!gC(E{RMxyyK@JXU00{WKJ_q549_4Sxw{J zoL==;<^;}a>@y!D-fREh>z|gq4ERmBrZm2$ zi_H*EBJ%4>W?}~JSMrE_te%esk@t&;wk!~j9)*^CYH@_#0Jd5*@-01YMQaKD6Iav} zl*{XuPuumN#=(gz-iifVKI1laWGA*<{rRPX*zX7%lw>(i;l7Hmjpu_Nmj=;)?dYs_r!hD1j$!;qH-d71|4jWQJ+ zzk{9r65Or!?*S|-knxw}oE*82*njamCZ*3usqDW3 z{Mf|(uk{d{*k2Hj5?8JJT};mk{UG*Ob#6MoOIT5h zZ)VT6A39G$El^vQ?-d2_0#;gf2-G2{Vac7W)P;rQr26H{r@)Z*d6?2wiGM|^=^DzP zG2QA^RA)>fa>AET6W@%*lV5L*?x(|OCM50O1vYLp+|apjk;th9Ox~6EtboO~%Eq5n zy=YX_zhXW?N9@hKUm8STvvVHbv@(Xs^PKx|VS!9W#5utjayj};&1nrkB z`lZc=X-6Q>A0lr$^tyN>$AtjAQhxAe7xA82AO6*o>o&oFh3tj>@-);t2`4S7vk`k- zG{Ud23nf0sG(#SBNHxuZW=2Y^FB)D*y z?EYn(b*S?x?~U(fAdyki*GOB7ZGe54|6 zyQbtq92Fau8{Z8lIHc{F)9nkt2;YKt=*0Z-c4CfWDR3Sp_M87`M8vp#fTQDO$D1i- zNI&0narP(!LR{x|kQRu%nv7xijy5XH{7e)2363iICuZvo;yq{_T$Q)wOh2AKmztDj zb>op;(N3*(Bw`;X;N%FgZ`QP+CV2HZ!K0a6me;=15s=ch&2hRPYC_|lmvac;J4>ta zyg9*1HC;0sj!|%`dN8({s6T=^Or!7i#Q$GV5n&9k#rIap$zbaX=g{A9=y{!Gb zmf@TG@Pw*#=$>&t9y~QZO|PxOH;#*=JBb|P?1zG-GaE*cB|95Z!6I@ZH?Ac2l{O>y zZr;i^w^DF4tmN^XFUK9XWr@Yfy?E@^bHRkz-*V<=^F3nJ!*0#zxB1Bg=gQz&Q!q`& zmz(BV|mO>gVMj^9^Ow$71pFsLQNq_&mtQB_F+?=#_&E7*N; zn1bgnDocyj#QuDf7FpPI7Ml4zscNg+;qA@ujl& z9@%?m@4fe4k4-X5_?_QhuCA_&$K!tP`*Ysobt+|MY*hXXK;_lfe-c%4fk?$U=JpEa zT1nc&Gl#38RMM^cl=K+P3Z=$|N}vu^KKs)rvHW1fN|@!x@0 zop`O5&rMM5Uj*sBOx7~fhD2$$A(Z(oG#bcUkDn7NFyzh z`g5Id;L+uO!gSbAk7fu-bRU8T$6lUZLj5@Q6t9ID=2^ao#-)GlU4S<>+Cs+HFn=n% z94+iS4aO30F9=~Sq-gBb)(!0pSc>piv={S*@@VZJuh3`WGN;h`b`E`*P_5X067*Y6 z)kpq* zv~!^SIL818NJ?HeEuMwkq(`f5w^PC0LZdsfA`58y_c$zP`@rR|PQWefbG>+SAg42B z3f`FxWQk%g{qD_yQ;bh%Kr`{#R6HN%^2un}G$hl(&%pEfen$=DX@u(u)Gxpvk-78A zdA&e2aOAAP??uS?X!i33K2I6di{uuo7y!@5qKKjhno@|m=hd?E1;Poet4$zSM z*zCbQ12H$0=Xo`kVfUJ|T~_TNlrn@FF;?|pPpaBosj3^o782vAg)4x~>Y;s|SRXiw z20!V(+X+AI#k}Mcu%Alp9ZWkq4(8`h_qSRTyXj&qsk`~=C6LZ$w9nZT7&yRLj+E0W2yw3U=g>op8%Gj!1$pZSrGVfJJhoH42jK9-l z0vv=Je>_aZJ|NrT$sC-62~^&CTc;P`^@+SD8?8yWc=vB!|H3Rhy{{QEI4}yEdmJ&x zE;d2YHLAAL`IFF*9P`Iwu>pGitE@fws2ql`t)>Rk^g@lo9F-eS8sxaw8Uz&JJXG-N z$BEy$@ToD9I5e;g%EhOj8d~6U^@`eY9rMddCkw zG~E{qNL_*QHYp2DheaTFPFbw>nE=yN1;#&pE#UTgwLNB}2FeP!+)6d(Ako?-zwZ1j zSgg;5bXb&u#R<9o3z+MS&sWK3m{1^Ua{%Fh|lcw3iEM1Wn1Sq3Clww298)#2#7|fob$(3y4*!1(`?B z!9ZFBMWewN@Jnj?F1x=7I*Q88OTU(YC0m|<#Iy^tzds8sW19vnkKBvGUd|WOx-(&| zcrJGmEt=WD_jj>qTjfY6q}T)n%y%P4fyCUm*LVbY1*EgK_qw4bPMNJFu?hkb)|J;X z7U0`OA_HA~PQ4a4e>wMj1$4cgEw_jo!6+i8RJRNJg)&o{8^Uu?%xYdgWj6%((o*sb z&QF0x+!9-@=^~uC`r33P6Yozd`7MTev!LS}PM-335Xw6eeY?_o;d8J5+jY4GC^*vc zZRlJ(?Eaq3y@$Eq&~+M-bnJV-w;NztJiH81!v9WEl2?HCs6i;fWD4{p=M@B`@%jr2 z9=M(`2KpL(&iQKzFn-mU`;Yz%h?~o8y!$l^`p<{sbTkqn=ET&ufrcq4%$_^;@Mx7 z>V0Vik=@4PFBVH+mS^f8lHLG`x2^tK-EIQMeG}a?HCb@&RxQn;8$aMS|NCf#dd#P< z?OiEIYJ;an!h(-%=fUEp^)=#}1lZ0oZm(LN0Ip)r;{?3^jwiUfCg2<&cA|u4|N9cm ztyP{hxPm^%-^onD7y`6i`o(I2_XUM35R;#13kcQtjJ82)(E53inlrS2Ovl5K*M`B z)L~9`E2J#Xf{*IR(PvcXkCI0+s@t}}u)*Mli!tW?oF5yTa#Vukt8g}9)U|W64_p6G zTm%ZqYl4%V-Jt#Xnp4l+UO02%lP?`iVjeZxgcI}mqZjT+J?a?;dD;1a((Nf&eCy58 zi#@~Kl*IGZmDv9yiJ%H?OM!*2%h~#;ksFjfVitH|49?tGvR-wbgNE&i{d4FO(X<%- z_6-_=VPCl(70laG*vdq)P2zcGTgv_s1LguW=90KoJ7E0lETK!j4=f~k6U_d_fpY!h zuXV}T6J<}X*T=l+a?0$OLPjO{vei``l^%deqr-26mypZ!VZ~$kLlh+S{>;3sIt+B| zOw4o-X@cQF--dt;(;~W&fNF<~G6hM;v2(O=1 z%Ng_QrqwX*eC*hcQ8&Pea`~&@yMg_Q3#X!TD^!Fh4y=1lfg3ANiR9ZRmW)0~o*@7Q#kAizDFMm@U-Qi8qhG^LdUA(n5ju(GZanQB z1HsnKH|wfnV6>FTGI+Hcl8nro=2d&4aoO{N7%y_bSU!w$DAoaWytw}u_C>vKD}Q17 z(hl7+=@)fTSJO9?Wm(_T1=C-CZ(6W7^hfW~mQ2J1oK&#SRP`BzN1P>&Yr;*?S|>Bz zy)*#6^scY#Fn29xp2rv$u?X+y3^RfvCxPbr1&Y>w)B%n%+qKmbz+9sB>`q}RNN-pE zyz93JN`{w0#Nr9yqr@EDbCv)xtFca}JH~;q<#=vju@aIJ*8RT}{sbzK8rH~R^hfCQ zGijKn!SjL6vl~HEK(lM4w%m{NSh-XFp?_oW%E0`PfMzEMzTpnwwH*Z~@g(xG=a?T> z`%mG7=`?I#$&?S#LZ4jd9reYOMX;ai4Lq*44Ci9^&`({0hs-;pLu(B%u0ZK8T{i~x zcYoVa2;(_&n?LdI)oJklOhdZtGXR}+6SacBX28Yr;@|rh%OUs%m5wv^S~cf0z7u`z z2cgTOxAbd!V6|cBNT~84JYf#ln0vbfHGU_*XfC$E#4Ac(_ls3|xdBX_Tjr%9e0TdsngJu8Xk5se+nKc zFR&8wDu6C>mP^;h0Vt09KdFDc0E5cR_U^YauU$r{Gt!ArV!2R6$RXy)azF*@P} z;AjC1E2J|6UdC$SjkjAtyLhxF_x%#=^Lq-ai6AF$H9Vx++6T6_Ub?rz z5|9^%tTJMb4M;xISrtw|uI{{!_wPv99{1%Yq8ta$OKKlB-I~Ds1Z{#EejejqYDt}W z*91{B?5*vzRX}R?;Q>f5gEf#F$Km~5KRz&<^lU5Y-9}>h_2Y2xUd_GT@OgM-dp*h? zef3E9_M(px=o4|Cu5Hm6Le5B0VfW20aA}KgT=$Fv*QW*jo&Cts3H|l+49Ns|luXG= zRQQ8t{Lec~r&eHZ=Bwj-n@YGd3FBV;qae367Z5QY1O_xkgZapNJJxxKM&-x^EF5`z zSC+C1qTZf|p@7(Tu@X-X48iNm#x{Q~^IGn0r=ZN#muZtsK z`)1YY_2xX(r85s$s3RYT&h5BT!8F|VI^{EAi20K>wliR^pN>c~xV|(nxqF-;}SjIt_A(zpEe4jX+=v*&9QA{Vr)Qg)YrT!&a2 zy`d&+f$tlX;_5S9u(0MbO+JWRidbgRfAWiPjR~HK&Mks%Y-qDE&Tm)7mZfgRPQq5T ziEK>HFns^T$p6%~4F-SFGM(Qlg~L2HCr2??vg^Hmac5@&f(BXiWL7`JAfedt5#0i~ zuhDT$WB>2J&UQU}{Qsg+VZFfX`H+0(P3(22NgxEW>Z@neK`wpewG&DS(3s%;g2ZGL z4vQY3?CYNdvukZ$`9TxVe3urN zrD^ah@tAl?oeD+H65{#WIpBAUEBV^nXju5(Yx{v~27m6ts7U)F?6k?hNdK1)9IP!H z&rvU9(s**e{X;A4E0XK9qu$ecVLPchs29W@IdBDvYjK}0wt~TpA9*dN*#G6@ z*>GRz1s9qD#jlE0klR8(FVa#4<$sTRH(>rErQ)jV9_IUOe%`#dL9_&S2Q3bb;+(ci zd!cH%e;Hnk*0*tEZ@`{(p-$-22*`E3CJ1DIgTm?vg<5hvhr6pkwT&DGMolt*Y25*s zAoblpF|Rn!MEVplCxk?Yp1ZE`!Z9!mYQvlr0k96575M7N|CDv581o!3r> z&O|x=#E@)wHpa{>rjGdl#W&7pVsMU6dK>j&+Z3)6|H;^PTYxao9!Sue0>zf|JJIHN zUMVR5ZP{Sr{VSFc-Ty%J17?p+3ClW+gCxqLx^^z1lY@ zP?tVSaCwb=dVvQ5IU)^X@E~6$c(SGfH1b{cMU^{&{wU$!xgXO|@PhDAW*xa!o%>4D zn6I3OH0wLuQwyW@b%yf?$6)AI=-#`;B~WHQVA+O-cRTbO@DT}21 zw#frf>-#*eTMqqu)`LkhhrQr~fD%vke+zK>SGwj|_bM3V;(h;8ANwGGO7wDWOabB7 z1DkZNWl;9laC2Upf@X&LoYTL2!07e~4ld+k{h8406Z|+1Q{zT%r=|%Y>?}0!Q+yuw z{fGL3=O$q|cc?G#9`X`Ov;Q*~nE~#Vx1E`i#qg!gU|5q2&tVq6cIRjD`EMj1sK*%z z!#!sXym;OL4Ps=bX*LsZaK5-A({Bk*(#iH+MZLq(#=49Z`H!naN?Pl0I^bIOw9l?{ z74Q^Yzi)&7=KS-Gn}zr}|KUm3xEDVLjx?8f5?N>A#mexeyhJrH{U#U8Iok~G?5;M_ z#!IlqCfeS41$Fwg)26$ryhD`Fql5LNxI8|=i>u5Gxf%=D0FuhTb#fa~(LU#G3 z?AyqZ8P;$9PTmR5l5t^tMI&I6BXjEUd+eR`-1(GKuncSL2gkc+Fegi&$+|E-i0^Oo z)i2|{u=jz)CMc*LYBCe(#Yie(^GYwp&~ghrXqAm!8*YM;29B$>#&{i^`6m~z(*UNN zdG7{n7h&0WZt>&IS`gik$s+fk1)4HPHhpXKpTCnCrtsmp@5!6dq@$zQlUB+uNM8mG z+Jmp?ao$--r5+Z*^HRDyhm-38)SCxdhTT?>f59wu>wqZg(E*c5<#+l(^}vdDx7M~-BZiIAn*25r82xHofPEaHie828L z2#mu)v6t|3O(_yJb5wa8PQ28q3_DN>^OhX$R|_!j8Z)c*dSf0W&F}4p-Wh@%7RT=% zP9yM+=Uf=4Y(G5RYMJdZ9tS43+4GHx<8W%s`gAaI^x{`m4)m^b9_v{3jjzY%U~2VAHBlm&FxRW18dJ|mAc zrAh2UHTH^?B;vkJg3ckEifH71o;rBrpL1V5=nV8*-1oxg>ZVJnkjpZ#ydtJHDw;=* zXa#4!UmF4R)I(5V2)dwbR5&#~`wkyL~+9QA04#ZOk;ov<}tb&S|%2=fdLtb8Hp zuRV3sV?7xNJP#7vLgXGa3V*waFMnqrw;UfL!7?p5cC<^ z3me=aK%&8AfyAaJV6x%ae~9PsV8d!3!3E@xsQf#1cclb$M_CH@RBGU`R<~iY)C}xM z4b$!6eEn?ikNOf3@(dLcJ3A`-q2%DWQX=-eB=Z{Pnb$|*n4Q$$jAQ9%y7)nIoFQ90^S1n*2q*`L2qw2+=ZR zEY}Yo>skg!qgHJb>=Bbz$5&j9d);PW}7HW!cXma(Iq?lV$@h({~I5@P&nV`rdc+-&yTK zk90IZ<-Tt+OZ70!uon<(5@SwYlUw$MPdesmBE_I}-B}1yFOK_{unPm%2#v`{rSc=+}M=8*+87a50nM`#^h= zrCs1dAKat9+?r>@966Z$mJ{dKV=sQs+KG=Ke~>ed`D-nh z$uGE`%wGno;INAN&O8X+H)NT)gnXwEkx@;9TJY^PtShv@KFX2}rH)?)>`Q)Mc3kfU z8I?oZu9jukM@<@a^__sn*S?AcaLj}K3*j_Px^WnD7brHoIth)n8g7=?X29X;v1aKF ze10`Pxas{9^M3aQuWhysL517Ac=ERjn6$XS=RmOn9GN;iw4B&$pe;Pw`KlSnYg6O~ zABI5Om3Mr6Ar-)1*_=~*qX9PKj80PF`9j*|Q=Jzd^7sx2$(+t<2C{}jQHd=J@F+W# zrsf#-qV#zU1&h1DBwh1y8tM)Pm!^74XvZP3Du3|FNz_Ni3%>1R?y=W4)r{`RDDW2Z z`>-=ipr5^hFLE5z9}cw8kKp^x9?Un^i+x1jmj?TmLoo1GzUXF@J#c({_T9}0eWGqT z*G9}C-#fZD%k!oL&bPf03*at*-6UxPIqVJOK0Z}Sbg2Q{4IWLrx5Au1(|e0~dgMW9 zTFF%^$5(2s(rL z``Y-%Ta}H48e749?w#f6$s{T{2>E%si9|gP&vCVpp@_!2@-kAd3d*z9c{@sx*ap(evYx6q#^dOLOZj=9VVO zY($DTCgI&*3ip554~XPa?@#>N26v6`=j@Tz!anc);jJR%Tckvl-&bA+VoxfD8+WR( z7cTo(=Epep6I_q(RkuUZgM!w8b>x%OwcSbhJ_~;(E~|81M2@9fzsMQaudvIL_%8PU z^ZSzsdiuB-*p)qHcnokR^*aH9Es;op0s-nJh^awOMO(&vwQB(R%h{_oZkYEv z70Z7NzkUk-sP87U0#+1Fccgl;r$Hl~#h055=EV2f42MfVb&uqLQ%oGp)zc)@KIwwj zPa>XN;zZ7Trt}MkQ{E6=P_OXMyblr>!UVOdM`7(wnNw6>KfHZLvr3LR64qEGF9E6(wi(^I3aqhGmg)ZGJY`T#(L~SI(VWrWzbA6PTE`ozwI5iM;2r{pSXNeXCvt@~l`e!pA+kBZ4WI>unQ z_e!*Z^X>}zW{S*FBlvxv_@(M$kL+exZ~$p%CqyKuc@1t%gS^D>rtr`xOi-kb{<$#? zdG+oeU32jL&~nJ2L_cbx-u($Vo{PR(!p~_u2VVZ2`1RpJEo?Y#5_h~GhiCN8x2`E6 zpWG~k_Hj}py!`27KdF%qC5In^@i@*cQlVR^9V;LqPaZgl{!_EWONy2G4ycsI24p}k za4=tZZRI)w9cmjP>~Cuz*pur>(ye|NFqShe$9)MCt9pm-BFBfD-um6Fe>UpL+-H_8 zbFrVe+%bf@VL038)4voafUa}j?F#a|47Q`o{IEaF%T9KjihK^VgWL)d?)8F@sF%1x z+XBq}b2X7k9RfmfkKJ17EOLTh_x!sr9n?Z`*@=z4@1afx?CPuerAv#C$ zpYSuBW0$E1JjT<(TThuxa()Oxvt-oB(vfp6w61)4$_EIF$vHWj4RC`&eoIyhb4yPi zX9)^S!_RNx9{Y`x@K~V3;L|Sxh%!e?`(mE+dt-na&97nDZ*)qLZ(4$76R&mfpA32tm18-r?tU?G_boPRj(j5#qZ zg0atN<&TarF!}cCBB5yzide0vU$ysw`+*VzON_ z9M3POdtY%`r-LSI@eQ+uESRxbo_%y^61+27KEQ!IAWSUShBGF^zjLEWZ+6C^~Z(P`Bt*|X+}2YRySIPe&zf00BzW-tRM;GR!Poq z*uB87SKSh-USgkzWj*iW?;^-O-u}Glzj3&_lTk>xzX+nMLm77H16~vOPS&6m2`=qF zM1#AU!B^!%`7`exD0%N&SBZV`i&ZSDCrg?@!7DuH=KXOXE2%j4dINdZ3)gLXi;E%X z^JS<+f96t?YizgNEZDq_@hq9Z{CWT%xyfWG^mGipSI(@1Q+|Qh73ndTajV>45c9*X zVt2+b9q5DJ7ejlGMhVbtR^wE`i|5Iq-s=JzvrsVfYS^Ts4Sd9H?#H}XfDyq@m412U z@NkfBvy-U|1W6D0FJR9y>w=N~JA--ne3WB-fPWf#MW}h?cSZm&m{8}#cn%nHRdCg- z1V+>QZJ})KFz(8jVK_Ac!Ci&7d6CEPG;#VD)wMy`3z0Og+K>oITH8acPBJ%d*QeT-)f=sUv;{d}X?3hTvq;&z%Q(o9B7(_kYZu!0} z=4Fy9zsSiE<6eN*?UH_;BOov=zxE8DW2@nnH{g_$E=gNamDMKa3esl1WIa@&f&JYlY)GE1kf#s+>&}hq(s6 z5i6ahW@vC%`MinG(LzxN3P<*p9eLE<=i%r)Q8@C?A7Tc!0Zu%cai)8L>hFow_5bVhK1ZmHLYHF zWOAjVE4miW>UY&ii*~@hv4H4R*HJjFu%RSTo(8Wb-{}R%cf%3ogS*<3E3lM9aOtIJ zgXpP=vwEm6edAKLC%ZZaw90DB)3|>{5d=LHun(kCxub71IRqLLoVV$xk@w}UuD*WC zA4JD^j@X{4fYT>tmNuhefRu;vS%=jM2x)rIAIt23ol{GRSKH9f4B&Q$#mwSwhSkwA*nH>bb-EjK+YR<5 z>n8{he6Y*3g+3jMsT&fPjghBRttBwbKLKp^DJdtodm!2-`&>Xh<_%rcd#6$faGqTC zZSCa_m=`anPQSMZgN-uXafdtMtH7Nf#rPbPzF8m>wJd_=#i86R?RMzN z$liT95eq^N?F1I=afMzd{kntvlUxlKz6)>TfZObGTANNboP5MTOND!5$}dwkGZ9aK zMNWBTnlb8KExUnYN?E|gs+FdO9J`y>7n|b^mSJUm;^cXSMKHXw#Br-?269%OI*2CD zLy;b%5mQzvys0nW;K0`rwH-ec;f8r_d&Pc{*>u=Wh!%PH9K>b8RV#0U@0z`%!ZqA|KE%Iwr z{5^7k5B}%3cdZSmi#CW&H5MUc`^!)%_BAz{&3t2a^Mmv_3|}=Ta%yac;qeriFh2AnwyW1&cp70v zS{7P!SK!ns1IyGl%pD&NxcSj!0TMJOk}8Pj;CPMFDwpLLT-oU3s#jToo{vjOAzX>D z<~i?gfpb*uTyVP*_ASh7j|s2I<-qg9+!Er*XFI3mc)^Uj4Wt!nI1`b>wbyK0NY%Lr zNs1q}GeYu#hu@HnMrRVXJN}Sx6)XW?SWy|%w|*F-c<@EscOGuuy?1q>YYc=q;$o!k zw1GqQPT2UN21sx#|7vk~2IP*^c-@W&1ogSBwL;WIny=>1PF|UWHIq+=bB-^;X){aR zrV9=5^^*MBnKqmadM;;nRl7lcWlBKnS;Gi!~#E?MR-@Oe?Px2J^M0U@pOIr(|euPqE`>`8@5 zkA?#ctHZ!boD()cSqXIJ!%YULBiPtfGylkH1k3MrO$RWS!=C!DOf;(j{DTffa8fTo z&-nvIkFKI#{jS=a7kkk1=Ug*bej^8vFM?T&uMg_!eB^Daao-LR8E39lGnm#q44%%Xb*Oi%sJWq;QTagx0qF^f&WQL^|uw67ENa+}DX z9M1udZkt7M0qkpV`ShP`IS5`0QvcyrA&V zpH^%IIvu5iP0toE=*eiZy|@CM&83E(vjaeo+KpG~MBO8PlG|%y87ii_nl;wPKw`;P z;NWO0T(}u!%-e@t=xsT}kEt`zC{_A;IW7+*Cmr*XDRJ-7J9aabx=QGw=FJH4t%BE` zFOFGp%qwL(Qc-@!MKV)$1}lC_*E4YkmY|EG3r^>-tba(fNb+<2aNq(`{9K>4Kos_YEsN0jL&PH>-jMc z&uD(@U1*wzW6z``J&*$}?I>6nMUA~YZ!$L}yzkRT${fz5TfuxJg_OPPAow?1`y^^E zf#VsWhvC?BHqkN6S4*FR1D$ttzaYoci}zgUPh$c+(D2d_v8V?^uSvYWB;HNib+ zlMgn^T~IGjwQPTlzvl^oejl&sF^KQ9SYAHe0TgbWG;DO;FzBLr!oN2kf_#-rpY1w8 z_dz-$f$!}=;9m|g@k3pTt8A+SxqCWEm)m!dFFlxg@?|MZ&58j7)8;qpd zLEod*C-hzvRI)cDF8*DC+n;w+mY6%iFLG2f!nPXvJD;6s#{EiuDkU*jw6^anYQnPe49Vf9xQKG4k_6wCokyf$v+^JED7Spzx=d zOSfwl%r``=n(6Yu>hYJO2gzr^zq_!0uCNz4_s&Qw;B)SSG5hPod(|LUuNYT^_kHb9 zhB!#V#xG)zK! z`U3NRxL4vx_^pUe^!KPe|8@uBTwmbo91v3120Jn;X|7u<@Gh#br62k67p{G4A~B!B zyZ~)`Zs;PgcODxO8fXT_&K;@nLzq*@ja0dEasaMnOO8{|CWFz0OjS|`a@hk~9=t)_ z;v69~pXpO4n5jQiY^ffD?5&u=XP%2-y?T=2;aluI@BFyKK814tQCP3D$RctBFWHD{ zAg6!HCt3&d>wnKZTh9)_9{+X5w?4=TyP!U)!bZUBn|sBMHopzz)D?&>4g~|XLkf#2 z_LkhsZ(Y_*Edh<9!=bM6$OoHPT;=;b0}@@j?SiHejA1@*-av+XTfkVIT?0>YwlCt#(p80P1dz&C)gNg z61v-mechKdCDI=nA%ebyLHhR?h)39e3rnAb+DOXN>!;fwfyGfGC=NLvJTeW(X{VvF z@KxPEsU8p|F zUNAU|bJ(cL9buh3+|v`UT}$)@{V1a+YP9WzP+@U!(6g!ruAI9lYST3VDFwP!BButy zDyz8bQYiLItWV77i)O>_hb$d;yq3=2d&%&7Mg3}M|ffN4QahDJO0Xecmd>S}M zx)8fuxygrp!27RRUga;q%ki;K??~rCEzw*f8~0x=@Co`J&dG+qT+#!HM)MH#RP|_h zU?n_PwyeKn*#_4km-ZuavCJN+rErqhz@NA0Ho}C^muy`AkwiTLR|&>yX2`8`Uwpqm zNuC9H-`H*G*pTZyW6$?%r3{RMJ-hb5EaB%vOTQlTRJBwI7nHD1^678ueyJkzKLebN z3v-YsJ>t3UEr92N@YrsR=vLUgsxFv^`n1&X^Ng>ju=ht?#<4EjgE(g> zQPtHC1q`WY=d-(^H9(GnymSVRdsQA_v}ynwN|&4k;zpnO|se$;R0fJ4^MQ{Zq1doxs< za8KS3E*YKFGPqDG4V&oK>j$ao(FD}PEk|EYrZUWnm?^qbUqrqMYo1{UT@4&tevrPf z+7AJz($&IbkdvKsd9Hn^4br|5Y7Dz4;QHgKOwC!`$5LGPjft=VJT@bTjOT_RD%nkj zRD1z?Hw3+v&)`1Kk3OYmt8qV*5AjuAye>v`B}T|vFmL=(w!Y0Y1o+5xCY1WI$3*@t zJ1n>x-1MmC876QaT`9+gy?r}e@_qGK75lxkx6jPV%P+xXi@)D-+@pBw({{vD>>)Pa zFk|=L@dtkH?X3yAYRHRCY&5z$1<9;;e(>U4Dp!8yOUPI_n3j@9x9lS)da5qJzkL+< ztV!M-{?ZA26TiCYvG?w%?Yb&gIEnk*+E+W*`+({`*`c3%Ltv@S!+Hz#>N;_6b+>a% zK+ncGdINQfG^>ae(#Lb?cQr(^`BcE%`_K}}fpI9kE9kQmF$gkO`s`UI%E5z|a+8uF z2x{(U1g?vhLskCiJNNM%PW9~O87XVzuQq;=C@-G_iE5cw56Y&1xv9DE= zuk<9iZgV}vs3k5FIiCN05ta$4g=Is} z^YhcVN5P^=d;W3}Y|^|q&ubeA%EU*#zsF*3cIlbT5&I0FzqfH@lofE0AYW zm_d}k+X|lxl|w=z#=&UCvsyvu3usYm>Z_S z?dEfq&vdvS<99#vkLFo;p0K~@hrW`=dyfO^oJ+{TP_46G=!aiow?`jxkAaA7O9eIF z@14iKE&BPR|2Wf3B1c7l_$REBH=W19{!PojGqkvm?G3k`UD!A*BnF;5jCnW#-J{>n zNA`kc^i6w7^fPXHJhn}5!*kGp?q)vnp~>k*dkq|r`@tCaAWtd-;=P5Grgf34I^jn% zg*_DAbN4R4U|WV0+}{G7wI*RsMn*HFWDaiqEcLR(^WCL~?Q#5p%P?+VMhA(wAMnwr z_4EJx0tbh@bCJKNDB~3&AT)$~So!Hz*k?e^P2r6V-2fz+7Q7aRT&QLDef9d;3MjYy z_;&_%>@7uo5jV_B8M`hKPhuWvUb(&oPnq8fno4Zd-M$yp%(V6##3@EfEq zocyb;JqKzgEaK0ZaBm6iP5Hlg{;Sc6Os2>DmUHk=!~F+c@U7?U-oG$>-t6iz1(Uf! zW$S+UQ>$+9b{}Xz8a)dh3M{#Y}3_)uE&S(#?7GUlr*fLa53HRApD1CeA$P^118pqujFb}lm$IJEAgS3^AwbggCldPWt%G{8p2 zfw|%t&wsAtpU_YE*&h*@+XgFHRw^skJK@9T_qjBh8sOIC9ooG+2gicEKJqj5!c*rt zgC@Uaa6aKl+j4UfqBW*&PNwUuEp@= z^lSm!82U-6l-hgPSIbI__NZwiz`@AdLp0dCj;ebySJTu85*6ndRz{Fx%XKHw>}fCD ztUVzAnR*uUPfy2&E}`Dmn9Vb~hx>j^T<*4(jDu|R*Vl}yIG3*9w%4Rsf*-$s+<#Po z^YrR7`od-0$86Xnd-8Yzh%PFhcwb)yrA{#(vQY?qr!c(L)xCrvfyb7KxR>r^olWqQ zfo`C$k}~f5vjmp5x89~SdS>(j&!6RyK-3ioj8j=g zK8tYv&{T7iIOat~C2l`im;*U7m(wd(Q0KBLq%QEDf)d+9*AJ!5LanY?KJ6>a^9QbO zFh3l^-dfjs$o(#Oz8fHR==&U){@hIsr)!2*|5f!3FXR<%9~I)o-}ih?V7k}4PAE#T z_r8lhM8S(?y~~b$F!;C9ulIZrSWkT`wJy(wa_(2lArd{1yY=+l(<|jL@}7_xHjVjW zaoxX@I1kf2I^T#-M_r)0bav7J_F3z zcs)+`aqB{Vxt;8*4&HwlHAEi>2cs?~!h%^&+z%{!(8CM)aX;<+x~A49;XK*#VcKsU z@WoO~QW<&pzeB$`CjYF0f3mmlea7?HYccK~cIj!b`0%7se>VjlP+s?CTSFa+s`Y*` z_TWZcsVNxpklT4g<@~pL+`AQ{@{ae?0I;8rj0^i30h1r~)@(>HKa;`mfZw4R25!|* zlAdXXvxa|O+TOu=?}5(W(fv*ku6mlMP-JogcKUdU#nW+m> zdey>?jZK4UtQVsV_CuAYgUD&$&w|uHcKI6#sDBG88a;o|1eX}DMh9}BkH7IR(cN?f zj_<@p@I_(n@>|S6F7nQfsqa73E|`Q?9xiQL^-iF)(z4AwJ_m=^4nC4cPIhA)b(C0J z4(7W~YfGd?!}ziavm^Eoxo9u<-NYQ2+uhf>X=D|^VAtsPi+mBeH^$NrU=TdgFZF3+ zUiD4$xtC|&^rOzs!+8`ruCZZX6OB&{L6&OHt)meMD zH30QiORB&S$`Z)G7BeGwcM6=^>L*Nao}4&tLw}j09CCaU{}Ag=Ko^mxy%72#Ukyq0 znxA9;r_6TD5a+tLH$~fxvR7~)?2mbQ)GLKNK6`2l<6fa*FKQ1<%%L?1j}9qL!S3^W zx0%ARKVVkgDo8HR@8)Oc>>C&_8}b#U*~uT9)Db?|^e4j1;;4mTutjSfP_ z9^)Mku>lA(GVWOYR}Z=J57UD(TY;!1skK>o5vH;~W~<1cK6Ry$DGxt)M4pU_xlFUr z9&j=FD=Tt$6~jYiqK6?U+?K9|%?^rMsrZP(Mlct%VWe@r6&xLIoOrO44-wqb{*;?z zU|(g~N>MWc(^T)*9be&ISMyP&x2Hxy`s)y3#q7hj~2+H1K}fh#b`=Ivu5jJp4FPhMt=U{5PYiE|H!d42peMaKE%jRTPmbdK5`d1CgJg5 z_zC;hjf%CdkEbB-1O0HyBIces!B`IWd(Sci_&nB_h5*9Gn_|@2jwL!N=}=9A`l@U5 zBlO1`-x!g;f(La?Z`}~dH~49>XYRF?nPs*Ys~ss2KP#Z zRGJ@;WA6C#q4nKTkW%^d*R=`n16p}nFQn6;+^C-V-AUxW|L9uM!E?ym2i@E)W4zDX z*F`f5e~08;KZo&j$aGr_{)X{S(?M4VaeJ4q%iiK zTJ6+L8W-S@_d&YDgjryId4tCJCHlQ{Kh|6gR)9uIw{qC92eu~<6!}swgNNt@nbZx; zcUU<#?{nhb>fMiIBzxnK#F%r11vy2vM1{A{{XxBBuZW)#?}O)$nteUvgPf#4-^^ZY z4Zw|O&hKZA%|grG^y?t(_ucg=i)sCh`^z3qUgVpb1Ip}g)2sP&sPm9my{koE{ld@` zRdWw~73X<>Z*Bm%zc-#_7{Ok+?h`)&&n{TzW453rsfN4!U-|_6Q7>mv1(T6{Q00mU zeY7F@ zq;GPYHv~3b40*mi4>8KjE=FHbADFRlO;MVLryK+9BG~h~Lpye0kr{hqy^5=ww^ty` zL{H>3a?7sS=UKjpZ-R&7RoJz$dfcB**eeJaYK0`ea*=83ZuoKi)E~0I zIWYS~W5`Nf4Fc^4m%z9mOmD@(-cjTS5PsVZG?*hp|33|=HN`3>a+6L zMK~<+J$%;YLyG$=j5Y93}J!rpe}!LJ&@LvZnsPojj^JRI@}y}_|L2fFmZLFveE;xkC0 z{m%vG(-^qUdu&{QtLfN>kk@}p`3*`)o9ogrSDhmgC8nQ304|4y+s!T5 z0UEa?uh0?~0msxl-c1+aDpT&RGwOs_FVi2+!ujLw<~l#svq~tLCpDq%t^k4U!sc43 zEJz`2%wO^7gSlaTQdw%u*Nk;d@l{8`sEF|Uz(mZgYVixU%$CiTn#vcl{W#{oBsGk?PjR*_S3-a@(t1N&QZocGe`KYhwZVDU! zLmy|qD~(!n7Do4`+-cIWpO$Q%^RR^g4o#ze+m&_Txwz`4z%>Wb#XpoBjK;xsq(LR! zt`{-}*x1k6cfx(~K z@AaI4L^pwy!+H&HmWonXsAmA=3_OmR<9ua9(-X=0u@cnd%f8Fv{?}-BEizf&ERcK` ztQa4Ky$MRN6Su5@pltsM|7z?Dshiq|8YP1!+huk68k|>7_5A2PJ%sx~j&WO;E<=sz z^<3Uw%<;`x(Xvuv4>0-j^T#4R;Aay1GWvQG?5l>wmo_4w@`Ai5(QG^9n|~IV=AHt^ zwvfomUyBe;dnGbcjR3vWk0?rL=7C99;_P@9p3f8Jvo2rk0^*g_m+EP0a3%h-1@|x9 zbIjY;$)tt(Vds^r%u1-UX1OvgpM!*ylo&~zCeuoWUWI(WgfIZqrCWC_&Nc_DO?mc@%rUq^Jk$G3IRf22aSwf zBABS^wi#T){a_AZmmIKHGADI-Hogn$u;Ke6mnp zCzG`& zMlK1ZqV9SN2j>5j&fdH9qymOnBQ5V^j)&ND-}s5Ce7DsV59p`hU}l}k8ZFts=c1qtH6AOj%YJ6UweYy2GeF~H+!eza1YH3h-bGE}}3uFYx*psjLcZ=>(xw9 zTF|G@b6BrK|1na`t`s>6*9QF4#H`D}X{&;BO?(DyLU*~}g*E_DnrHYit2yA0vC2ENyBxww-?rfJ=I?YP665c<)h6S$W7SW{yLDd0(pLPk4G04;S|NK z^dyRL7#%rzEazhfeB(K|dyr-t9*Kx)?VS4$2G#%Mof$@M-15Jpi(A-lCw?{k>gE#M zlr*W=`-i;w%iP}tNmk%b^hBfua)=$$iuRY$M+?g%eR>shV^pU;&O0jO_p7)WxVAL` z17|cE&S76zFIW|0dD+lYbxwK=Iaaw6l5tGeqM)q*d?(X&+%I_aag`YJG!);EyRkch zeZ(Ps#;oofP;?O`{T$VaIXY)!md}w8Pg$BIAv*~f^`vjVBM0s8OCe>+V7y`NDFUl>A-Xhm;}KxEg>t9eOokU#aG_lf`H@wuF}SM#g{{~gH5pDTs=hGLb&$}$zm*=wutxcong&O03I zz769dBP)e6vP&UlW#=Mg#FJzcQdtR=5sFY|p+X`ViBPueoxS(o<2G-bloEQc_pkSO zj^lj}&vD=P@AtjF=XIW+^XVKY-!PVO=S40!r)aZPEfFRy4Nv_Q!~6I(8iGhR?aCO242g@3!nKM47k7c>;b@f<1` zwL0~<1sbjkzHCLE`_0oe(R}H8m@8LOF#6g7C(Z=Ab24;-mu*zb%-MPPof$b(K7f0y zf%!kW*pITWgkThlzFIjT4!MqIK_X-L2di^k@cxwbyyyV-+$(5@(eq*7bC0m_Dc2-W z^Lr|(rH4Emi_i=Cddnbi#CYu@|0G<|EBhV7H-oxuq3Kj65vZR3rXJOshRD(N1NvMO z(4WFrdTST`Is1icSstPu8Fl->3++V^Js3bcxQag1Gcqnw=2H-U*2>G_Hu8wizWsVZ zyBGR&$vq;g4i4#Yhd2i+dwenpn}}|8G$Nmg zEwspFtGE)Xe@}?Mr(1>-bxm(9E3lW8TB80M#}ZJKUi1A`m;zG6MK>HzPC|@C#Ur`2 zKGb{O=lWOIfuRWfk=L(%L8!}%RP(<Z=;Wp#`8gK zS4tN2ll1J&Vo&FRX7&yL4FZtvc5wu>SAo#Rj<1P9Db7hnOC%3)4@NGYRD<_(n}EI% zdxjA>PaKVq%O${OTXXsz^1CEydZTl0F2J=5IfV~4Yk|;2X%~&}Pd-UqSug(;=+%9b zqyB{eci&$a@kD*$k27_T4?S|lrD#vvt>gT0?%#7}tzu|TyxqDt-wpjHck^hJu}4a% zH>?4;kAkutSoe=V+dWT!$>Y|8ZFAVS)ph*_1?Di=_WLE2_0<8N z_4fuItw9)0yWuTcy9C~Mbj!ZU7DL?nE5E6}Q3$KbH@j1SzGP12IwRCS1vbX^n{pr* zVrk#-)Gh&do=5FwekLHt(yM*Xycnk2p1sj^K_0rGJ5SL>A8ama6E$R)q5N9e7dnMD zh)GbQ*Y!khs;8CvO{~IAdI)<7qP9jkD5pSNGW(>3?-YEwr03k*F$B&$vMjBesH>8%w^q*J zz9nhH(c(fi=zaJ8usucu-c3*?w$y-Op>JNyRy731ZgrPmEr;C@RhJg>eo&6NGv&RA z{W5=#9-Kg*(SN@W1$aeA0DGly(Qqd2n`l0lSga4iP7eFl=W5LB=T^qCZgoT37f;rh ztR_gG*r#Hk5DT5p!wI!5-Wc~%bjrskPmHQPPVNtF=Vgy+8g>E0*$8tG8Se>OYBJPjzv8I;QkaUUt| zruoie5`yHe~HbT1iuW|Q@@R|$6oYbm4`?>a#jD+dGHQHm1NL;nl~Vs9e>~@kN`iST2)#PaO~SPZkz>YEfw;H0ZOdk- zu!{co1>%P_^oOvAJP)EuC2I1bV~Si=+5GuU>DuDFR`O zW?`?FCZPL5owVN@^c~Iyd7ddiz1L77vX!d~Ig0&cr9Ya1_3Zv5Ur8{BxBWexx{3hJ zHm;%LJh(TqPtiK5y$ntUzrxC7`(f}%u#+A34KWjke5D6Q;k!znygSZybk?Wjcjn(i zU8uiWxn3Lcbr)F_vWvk*>+Sspn?u(FsaLk!Y`Uciv|6;;YHD5aV9lqb45GgGLW8U?f7xnBukoS6*2FJu33 zk_(r$AL@EW_xrr&3c$He-f?iC0#tYWl0(QxpzZP}scRl{P_wZcIcK^G8Z<29RrAx} zcwT+KQwioE?rD|nj0{6xl}MRK7xGB7jr28YaNqj-(D~oC+CUrI%$hSW1%toSzcZk& zI-GGUCedRQTpn+p&@x*9l5a)+hEh1MlRB8ZO{>HlArt2WVB9K{pRnmPwFEu)*8T1$}Ovr2M|Y6bd2uTutl zVqT{B<6tXt={!stTD8$vlrL(lCqw=j?mp~AU_m+*wWY8XvP=UXyOGcezdF4u*k>9VUDe@TjIygf12N z(#GBQbk3*4=qi=-Oab!p&G{$`#v8!2j`wL4?uE-LB2N9E12aR{q+pCbndrk2Gd;j<?ZDxC?$bl) z|78kY)pK82fGm$1=NEI+@HAo5#;Um&7*5#A)nfliq3=xW6MQfICF;x`n^=Go^ImhL z`1x>McqLwaeGa(_tXUBf$P;NTbNN%#0XCFFtxl-F{;1&cCw}UOGgp(ND)IUKP^4}p zm4m%3J1c`iXOYvg`t#1cpG#ozSSI>H$tVak$dWux9s=cUg_APFM2P+v`MC1_1kj8g zkk2+71CN?r$%Cllm=4rmKKHo}_Re?*b0Xi0I$!W3rC}`?vvP>XqhDQ8jo~Tz!A9tv zyeBYsyBoUhwkFS>uYkmv)2-d;%cV^G&D;Jrubzxe?xI_ysoUJ7+V-|eMCAtGfdov`vQa(Ppc02DggYjnXW z=$9a^t0`T8BZqEl%v#66(HHNZeT*bR0P%cIGV*a0I5V{VV6KEqfQ0{~))4S2l`?Y3 z)k?1>yCCC7l3(Tu_9)x!^mL(4pQ!XN`wjX|oUf7md`p4+lSb!tOX_*J7GU(Z z;uz|rWxL$6aSkAv1l!?Zi*Pc_;XN7pU3QMp=bn6s`J&TrAAd5z`*_T|@v9H<9`FB# z>n>e7gtHl)JI(kBa*UOACe@tbWvocf(iH+6mXe5*C#!;gceE7v=4PPY=h_+r=JcmJ zf1M=V?gg4a_iG_{#^C(Ni5puP<1qGfr`BGl2`<)6lI#n|?wT6t4}f6}Rg_g} z6Z~_pbXAWfLR{{&71!W0^mhehUm?T2prx^l;2d%m`vi=hU_NC?H1Mlm5fSK9y2XBO zHvx?uPk=#77c}?$_p}#tm9OSrwQufBfVN>rRW|Z<#cytkuq7imDt#?3EvN!wj<1u% zB9C%h_K)lz@nM*)QQJ&HJtNg)D}0i;jQzPJRjI*5=({agucz1uH(t!hvLpYeyT*Cr zlo#p`&PMLlIRE6(=ZF7c7{{Imo~K99SE)8Ed(mhNc^cFYu3R?3zt1Y8^%rxh#1-15 zA=C}y+<0o@39BGh<8iU}P%|i)-vK3wphM%UzzPvvJ3;`NZn2&zrQ_1Nw0;k@2so9m|p6?4spe-5BopN^Zl>J>m zX>-3@>MC+NAFSki{y!(#W@s&@odX#<+mD(@u-~|FLM!582T0HiNz|Z!NP8%tAYN$* zh(|{w?2+gH*L__v8uuMOG&_T)9Sbn3I_+fXJ&QfJw!$7AW0;S2i&k;Zf~1hR^ou?T z(8qq|Vgzz+)H5XX2%-4BsLGqPTVnsXqded1KIFI6+?VAFLymgjfU7Yx&gBM!a=Xvl zAjQh0V+#EyvU*MWO}FZy@!n0%!?nW@K72#&J?23u;x8E6i>Kk7z~=KJ1$jV^c&=;)mg*U+$&Vp_;&X?-wp0zgiPZTaR)^{NK zn1z3?Li5OR7!i(C>4EEX2iW;955RvRkqJ%Y$QkQhr(!$W4-dasjNP}GM8AvESU)53 z)Zhep*qJG)mOFHs>H+qKJi7TqD);}rRRyGjf?Yu1G?`4F!N|&gL4D_epzSX^9 z?cWcYR-z0EQP?+gO6TWMPXVKqiPB4$183s#= zpiXh@ffP@9ep!{Z92iSUxHH{L0fje6$w!{j^N`%9F2SI+`a{|ERzHYsx`;oKY=!1@ zIc?GLA~4PL@<>9xWc|(;RaK@5c+T|lwGDDhMjA<+R&YOBC*U#tCHV`SNKVtrmwcBeS80&zl{#QT&W@Zr zZ->nfu}M%s5tLJjJ)$?H605SVOu_C6M(%g7u%GONkmhBUYT!HWe9mih0oICYQ)d__ zV2S@s3ZM2YWPa%USBKo2Up6~A;FK>Xr&%)I!%!ROQSXo!y@(yZw)@}%e zjzFFI-do{Q8L-@=P0Mh39EL8}%=+cGfxD~X6WQVspplX?+rsbfj4-dzJ8smenA<=3 z>2!j^tE(zRedM#w96e*n{}9+jL*;oVCt+RZ{@tWH%o~c6^*Lf6hA`dX>nyxuVCgo# zakQ}?`w(4Du9c6$u<{gx8TPiX9o764Ix&fT>?^)ms2k@$;?@&A-V8z%OG`_so1vX!XH_o3~#`jEF^H|yK5VDQp&Ce{dvM6u$S^R=yglGQ5CV{hVMS z=`OH3)!4hvx&ob?JRhgf&yjQa-@2^L5=7~}8hr5{`E;Hk*Ch_yf#tsQ9naAxXpkY# zCx>|u`rt?snRhsEb_c||Wldt9Z^z+hM-0e0g_Nsc@AF6VS+DoG=+EZ)N4uY=2TV(S znI(wz5N}mKFkOLuXY1!FCl!a`$e;mj(1$AcNlXsP_&5pw{PMF_*!#dl+mwsiZ3^PI zIrz8Bs(|(r#~JZJTD}VQ8*0^^-pMGuo8$A(X zPhCvC>(v9htITE}l`zM!pU}wgGz%6RZ`nTiSPc5%9D%-^$bl97eJAsN4(jiFA1DHs zV01&<^6TX;C?m*lsoX`KvCYuM0NDKU* zHBeshdd3>(P46#$+`Dcapj&;}MA&x$c&#rO_hGJGl;w?lkzWrqce@9M)D(mG^RsHX z*~6gpBVO_QChBF^W*@n!Oha$#U42f!Zdex?vmmb;fON0d7dIW|pi@JtWCgjY2Uv}n z-r)0{5!&YU;Q;Ek5*K44L~C$9kF{N+Bf#}}pQ`U>sJ}MUarQT&4o)$({TF>8E%Pa54esl9jbv6H8Y{Xt!y~Yd3wwbb?}87l_rAe3vlY> zCJ7TG=INvPDZdmTPuxuQSEXtzT%XCacf=mO@LQ5~A_bp;cgxbs6nz9wCk%wN+K|g@ zbo)y~!x(TISZvRs-WG`bm3;)Hyf zsF*kDo}b{fT}f$z8UZ+nn^!ZD_ZKE-x_sII^)jZzGhrq5pwxX@DER;W+vTevk?LKL z8JMVNjJa^5(U4CZ0%PDk64y`ntQgh}T5sJ&PT|?p&Euok4|r64M_smQ0RpdExeWiA z0B-j)x8MF=h6wx11n03CsQv30)}_=7I;nvl*)WI9ui#2A(mMm5GtYMi&^KV@Q{BN^ zHV6J`56SXzo?N)YS1(Ck0lKbNv^g<<<$Khih%Oy@t{-;JGsjJXJO88CUD%VPzFpe- z4D)ZVW3NV!b$o!W6UvSzDl>4t;$07aau2wyvzo^S%)yoWujWplL>_&J=5oX)@>jlm z5@uGK2d^`1Lu8T7ILD7M5=0*Ym){Og3GQ=~$gln${qhwA6M`B%KF~Pv;0J_M-h$*2_Ir3SmFkrDD_3w?o)ZboHBu)RKKp@14KH zUt5(|E9j4jcw)c7iTR;?#`zO_V#sv~v}x{wRk&3#=-EiQ1Wbv4Bw{fSdZ3`rZNOsz z>@ObqYlXVyHrX+yaTCmy95JE{M6OuX1CbU6ugY#;ja=TlzMxSB!w(Vr6~yxs6V?UHQ7!Vp+L`sDn? ztpbcPX7v|ZN}=3Uk?<*R0s@8lwmmN5b8fq>5RUy>qV(oHBz1jo#23!QYfZvA>GYsW ze`ml758dl~1K#VXtO zX9#-$l&rJ!(8nPieC{~!Dt?bw^o~8b)CI)+Qm6JmMEF+O!6K}?0yG}Y!3Ublz%N4C zOTc~+PI12VUPGTOg?#tT*9)`gOA#=CF+Tx6?zSbWUm}8S{oc7tUdUA}k(G3^ngR3c zo}vZl7p1(Yl#p$VytD$MDlh6ym#ke3)Q_Q`y(Xh>gmfC_w_?X=dx)T5@@^u}7Ttd7I|+{^9bJCW_5xF3~S(0YQc%$$nW$UCVY8Rf_d`t~-OV599vz1va~-2TI#SpByLE|HYobF1lw;gd7`w{fq@Mf*kK z&+930oM}C><1+z++fl=Vc>m<6-I-BC?*BLD!Y%tBi{QtoymX+X7BV8EVj6^Nun&qg zIKF=z*hOPhXkvQcLSg5@hh#Od_s0E^l}i<5n;4164mQB`JFYLvX9jT(E5CX!eH;!s zMjT!Bc_L=8fR*JucYa`!I9K{|NHx zvi_U;=dcK2ue2v}0tcY7MI~8odlBkiyq&D3S%gZ!UvW7Q=qvRD5yrYiB#mHTcnAkm!P$Z`u5PIWr))efgQ{7d&sH`286QaL;z7 z`X04b3sebg&I!ImfAP%Y#tY01|qBM#KV*LBzLoR|XB#qJlzX%%48 zlk(9M`Gq_@ad!VsuEK3Dg&keIUkQ`yQvN``1cmCgSI1EoBU!y^W4JK~VN<;A%9y+Q znV&ppRyG6L1(qW9+=rGRi?7c;e`Xn8J{{J(fVq_`I={=5nvm0!<w#dA27~ z-Sc1^Qla69_okC=x-*rSAF+*B6K?aKfgjHgTr}|Rh2oxZ)w+yI5TxyNBGMs8DVy0= zDzzHOzEVefXmx}2`f2-AZsdt|tyBkKuEJZ-CcOdoyWQ?HWo5|K_-1;fjO=;`82nIJ zzd_OkJsVWl2t0GB_dcFpT3LagdralQUK7A9a$(w5dI@L^n9EvAmtd^&lgMKN_Sd^S z%DwVp7W=Q3D!P=1ppUv{jd3y#hWB|Mje52WCXEW)hyIMiUQNWrYl|7EWUVEP)b~J^ zBBf%^D9%}BJISv!zC(4_yX0R&xj+@`;9};D`*aSwhC{x!aJ=)dv+F)0@^^lzKcO!K zIXjIjvD*Y#mA4)|{NDg5#vPOW&l~w8J-kMoasU4vC!gn2#l38<%lqKoB}ge}N&Yq6 z4jxCcpA<9B!RZUDXX7O&K!7FW$`1O^Lj>o{`|*2nxgRVM8QBGwv(~l~>?=Xp{KwIg zI5)M&sr|~td|Xn~3)R)CIuMuf5tw06*L$hMV~&J2Zt{|Jne7{ee{1~I5@81z2(!;S##u5OxBHD9K!zf z;?(rVukkstcO|EAJKqE9H)!u%okV}xnC4FWU=E0_iAU?J*MUt`qRi{=A>bnGj(>ft z8$^ChthFJ3i7zXA^wqB^=>4#a6G6Yzj3jPZ>#>I}Fkwtyh395d@ zV(+t0Dp~UZyywS_=oueW>Oub;uRXg&9vq73V9>?9C7KWelPsZV?WdX--mgID@>^s?(VG?TqU^!TP+qM z|2kHo_ZpwR4dxGIYh%aSwviWU7;-rSbCpp$U3YT4a^ZdYYU$tr>f=|VBuMtp!>*oB z0I5O;@Gm{M{}^*g)dyk&<*?t(??F4itWW}!u+xyyZGXd@hAHW{uh<9a(2=qq{iZZG z7%nTm$pyU~Kl`ZrBamK_ok`=k2u|ZhhZN^fUt4?ld`b=P<+kfSKkwomLFGsMj_^~6 z&W$;zv4GsOqN&JR5sOfs_h8zhwgL{A<%YLno>M;Yh@d8Na1*JlZjX;IV{UGmE9^=W z+)GU2es7Mx@U2){;q4L__GjF`(3=g_O;y}F@}+WTFjr$$4tR%^w zM0oS&r_z6sEug=k&~%Qh9s*wq-44g+m63_UjoOR=({)9*#JVN8etGa1h>pSQzm5HY zlHD*@dYd~UcpQWbO)H!y%R!)R+xNK1GQ2puT<%;)1l7$;p=roz|6&!X$YQz-imod> zH0MzV<9|TnfOA=fF9mu&TcFfz{bouW`l2pyxW|*C?{U=9FR}vt->04YO9}ReaCaSs0cVk<9&3fdqIt*RV5Vqnh|nlxI5B9_bz>f^<9TuYOe-*ET;Z!^{tlfRN6da^qL1&v z%xN{`#2P9WoUlH&0*N=)_w}_8f^7UjUNYtun9TEP)v#UwHyRnQSSrjNzWdPZe;#=z zrf;PhpVdIxTSlHA_#WThIB+-=^Juf|gZsH1Gr^La+N~PjyA~wp9c0vIfUsh?u=$|^ z4E=Atx@(XAeY4)pO`1%gH#{mUaI*>?ojh>c>UkcxvPC52Ej7bwBeG@cnOP8*tF!y> zunY9dl_r10z5%}_q5L^QCU~&B^|GUm{8L%mJhEU0K1hiBtYPn1;-zlij<++=W1J#m zzk>5WD;rHYa)bFe$yCoh9e|GNtMDrw`(EityytMQ{5IN4gAx7G#Ir3;s>$8(ir;u| z{1W;C5C5?f!xFn7`tvzl;0}KlP;t9H&yi^Pb#h70w;PhE_!>UlxHsg-$4DB_8xM8lxUl*T9P> z^t~55N077ENGi;i3sy&LRo(@z!m)aidY(JTk9mEFAQ6K6@#y3x%D3nn7GQ}c9UZ}( z@l3P6753G<7&>sRa20eia;Lt0>;S&vQ>5yc=NM;vmZ6QkBQ!#*W~WvMK|9)kcdc&{ znglaF^mUQzo?IdS?^Y+U@BehsdkN1Q()PAgUVVBZ_Z`tB6MnP{+<98#*vBp8>#R{(BJk& zP%T8|DZLMD%LdVbstty#!w|?Pc3|=r`sSTjNK-|}aSr*rY=nN-c+dR z^t+;dGr6r(hTIbq?b2x4)=7BsN5)cDnh2LqO*+_wBWIs=X355)3UYHTwu$aU)ElzS zuy{{Gfv;9$u;DZ;N3l`UmmrtQl<@oKKs-=zB!*FmR0Crt<+i?h7Kk~YT07d=29j** zO})G5mpoI~TcHGX~n`S={LQ|%d)x#RyHX6wn;MSp#X zH9_!X3-GR<)OUzzga^Z!!VD{eFg%$LmuBfZ((Tw%Gfw z^?l@MSgIe$+ay*mquZ0uxw^C0N%7|`t705)lrmk$R`gZN!nF+V(qW+w{m-ZM-=N!jCkeY+vtM;Z^8 zpB{(C5I>TEGW?vgZ%y=U%|j1YK({LD26;Nt7TtV{&^$DI@LU}7`#IYxohV{pG5xJX zo6#H?-wvr`?H+^VhnCkIRVF}lJoG{v?%`*O{{{>p&nvX*3`|htbNBhwjLI5$al zJe~pjEEg|Zw=>}RXX523p@I2t$30JfuX0d(D@%LwAo5HkKU)ahs)7^?MW0Y9zWDv-VQJ*XaH+g86`lcha;D5U3*>x8FwJcweuCd( zW-I^K4N{l0+$FD;V&6*NO+{h6_qlf8tUEUbriXku4-jg>{e`#n_?ZsSkLo#k2=7m| zY9`H=qqE2%xqLJj^G%O9;%{EM)D59g(!AmS@3$!zDK_074P&RM&pZ>xb8ErbIQ>fw zSf?>Z11Sp+8li&gH$=jym1oaaLBfltBnFNMZef`hrpPPfodPd@tNBjbFw5 z2sQhG-K2&pcv!3%CzQ4fTDHAkG_j9Zx>uql?fDAu^Qyb<&dfnli#9R*U>c;o{B!&u zo?DG)w|&Ys@m> zCSi$tBAN$$x8xRzVV3d)hxpQGxIsV7V{l;>>|2EEEHepE>*UIR3G)o85|vHgZ%o7A z8IJ^MzAO;_Jd#9?bN1Q$o{xNAc7c9=Ua?)oSJ>Gf=DLAC&+)`VSK356p;WtRjSuxj zo40k|r_q05_$lW$<3<~VuC-T+boYU*)U)D%1MT4Yg@s3$7jt|bcQhJM|FQ%xk#7de z(DX&evzi6_u3AqN%;Ef3&;74X_y5-B!QY#Pz0XVW$G!0MSjDgG z67(}m+!c<%eLvGQ<#{`A>{-jt{W)8TTr~E`#a`Yjpg9|>we3^_Ata){X@^EY<>JUM z9>y6kZcE{d_nk)HWk`ZW(-5@u$)wbJV($y*`P`!QanLuBp1;x-4~AE$n1}8)gVvnG zzE-JmNTa_nmzj&c`Qw(ssyo9#$CrGIabF*tqJHgRyEcXSl(iSFspH_gD{VQ2Jt|R# zDnhq|FlS+_-*a|n3itBcdzX-7w$J+B((Dou94A5!cO$nYgQUZW5p@D$+xg`fnl2bk zw^hNnlgIRRn$p}PG*lSK>DR|?|pmWpuC!^YtX#{Mj?rsi^y?fev#(xa8|dEh_qa5~ZK6KFsEtxfr| z8ze7EaOhMv!D{YoQ0tgg1Ploa87dA9npcux+P$)}eq_@UoU>Qh2Q@FWBY9P@s3 zc^)bVnP>01B0o>rozAIl1caBa&$*?HLE1T%>O=+XU*FnEbd8w>YoSwBO{i}dzvLO$ zHfe@k;$<;U+>2@N+k0JZ*az(xlsIyH0Wz0|-QxW_;5E;OmeSc}Fcgp(kTUgxy23j% zZU)ovP^(j1qjtjdclbFCk*n{VxOoowC_e{D`$dT>@Q?Nz z`6baVctHHS)h2`bFqJ<`&vq-oNyY8==y!^cyLFuh_wAG<762aFN5 zKmL^<|D9(xH44wUqjF{U4x!7e&!V4XuU8;1WA4nY4}~z5^NV-wdpRsx87lT6e>~f#`ts}aO1SVO=l+g& zJLI_Dy{`A&9<25q2&2W!&cWgV{V?>Q@qVb%jK-Y(X9|@web@^d{oBA|hj|KAixRH5 zQ{!Cj*uc@MLja$TzApsuUhPFX@RzXF2A^9Aqr=|(-lrTCw4%8k3(FyTqh_77v5UBI1L-z1v!hR*aH<(OW)j$yq+@! zk2?~PyUU^P>b4aM;gRkM`wA<-y`k@g(Bpo{KV9m7?nxT((l^*x`L~0wRtZUzA`v!o zt_(}E62V*MMf9-@yq_25oV7TFzGUkH4uvxdaMpG{HYyAEy{FelzJ6JP5=v6q&kcR> zCh^SHFWd`J9JL{`mN$ZP%2fp==2ocP7jY{09r`It1tNvSdf~sPe#3?m*vr7~cH$28 zB)ANSxD!p5z)2wRS|9383Z(g`PjfUv<#DF_a_bYo_S9dhxgYtl{9}%yn0Mf8PfR|4 zvjKXN6e|NM=YZ~_-`PO62&m+KZW5F;3tFFjXnh4U!#Gm4g^bE4*;uKy`7 zqvaH&+n+vBq)7n1;!hij=wJLYYapoN+zHMT!L^KkmSBsUd~*)}J(6D!uL@qmxwC+2 zKYMl|m>CtHHV!EQaq+&?$!+u*jQPLfT^)fY0Wz&D++Q@SrivWl!Ca8HWz}=FeE3@+ z+W50%7ie<8p*e@qa}l3!+I=h4w_3q^ z#s7McECF1lsaSncuaVSnlg`8ExM}p(C!Nq4`1vegvJ-PdvfJWx5*?Vgym`%LOs@w# zr|I3lpikWN9PiQRsMFsiUb#cvSpjb;{>DGK)daW5hJVm#&Vcxf;m<~Gc<#LT_nxn3 z1d303>8as;eoK0dsvGkk8-F71P^I8}Mei9TwBiyW;m-fVneiI)fhOOx`XWK*Djwy=dZ z7xVqacJ80K+u+0E4g1$zW3W%gGH*D#2i#KciT-g${ot0^6GFujh$_eMh9I9vr*-cq zOW82+Y-nA15!(ri8XV$Bzm>pc*D6hBan#Aa9(l#It zPks*~_)=#Cxw$SNm+Q@&gY7-=v}r&^8Ta{Oma7#P4d#Flqo6jjgT2h>=h~0#5Ml6? z(SNdJIM0#C#04Tpo{+St8ixK;u}0CmMOo<2jw;LE+qVjbW*>8}y_^Qm8#SWj$Wx(c zezt6)T?c2+RE$lxPs1f2K9>E8qtIj}gTXfHdGBV|4c0hQvtFJ+b?P&M^w z;Hxh9HWTmt@hbY(G|qH$>R|r%YsL>o{GJZ>JY2Tj--jF`Qj;E;UeE}3mFkbfybjM_ z2g!@Gu%+o1wD-FgCQTC4m3q*>S{|Rg{Tb&G@!ktHzp(G-jZ)wK9PGb&XQy4FRttZa zzdUJqi<~;FrHJoBp36J=2U~!>RxZ?EW>|23yivHaKGg=7ev(YLTP(wBM`QdT@&O3- zuUM2FaGu_1{FwK+59iQ#nbK<&pu@;JawKR9Xtf`&k~%HHO|_Sfh3}_;e$vzXEj#9_ z2A@A>`dSJa|Ar?hqC3Gp$VWaM&%vCpjqnuva3;M=oU*VVAx3n*GUXcbIR=g~JKgUG z*NH1!oENGfNAlOggKAg!PvW7H32h9prus{JFHe9wLvnjg!8qn7?tY{K{Jt||Q#=ph z-+kbC+P=OG1mmJPh0f=DISco0y*?j< zI;_vAQs2+w74Tcl z{+9&yzb_JP-y^rILG0!GraAchg3o{fbFEJzX_^AiA16>iH#CKL=4Xd_KE=o4`E93q z+X{JD>Wu%L*Bu!HRozzU`}W;HnU*2SK|Ti))4BQ4WteC0Tu$ zT$EpA|NKsbx5J~ncoLb3PwQC0UI6LQ;DC$EU{l4LA}%)v&tKl(?~gtL=I9(7 z7Q;ahcWbT+KjR4Wq?&rR=s#!Uym(@b9rt@wmWMJ|I>Br%;0u*g7u1ry)$1Z1!#*#W zMhgbykZv*M>1!c(jXKe}u=FhmefiCKFQOQ-FZxu5UB#Ys$%gRz*O3#lU(ZHkx*MEG z@K01l4~UIRM8x8Kpd@`Z;rQk#Y%~nyEyz!Uv;TRGW!&@Wd;OR;YEJ>0 zi}8-4L8aISbf?>fy9jQ0WrL3h;dC zNMQPr!ZHCmtDS0ngmRs}k22H?W4*T=ocwdV>`TXrW z>^YeosM>TEYlP)H8^4~OLf*w8uC#~BxL*<-bGjoo5BsQ&#)-WjgL~Dg0zZOQpu|eE z;|cygDa7anLj>x8YG{JP4d>ITSbpQ<3fLR-a7v8%9rlvUDhKsHEQEo6^V-LFAE-?= zjncIlhFlHS8CT5RR%h<)oh{D>bB{guSE##k^sFzK{>2_|fxo+~spZf(Z==^TjJ?wK ztx*g3yn8d#4&}x4!Sq+gNnMvIs2#cddH&51G{t{S)(u7!X*$XkvQoTnld+{Fj?NX;S=93o({iQM% z;RC6_`LHtdt6uBfr(29Y$6u{R)Z-2;Qsb;=%Ph@S6;% zKX#o0|6`XKs6R}>&o|ulrZ$+1u6 zx^~x$YB78f)?v8z1v%~q8u&YM$047LNY$j%3Ot&u4Ju(na66qqYB4$q#|H#nlG0;e z8Pz_~xBq$}KT%U8D>M!M{VrzP*y}()$?uoet%NC1C9%s zjC3NmWJ^cU(y(V1k`CrC%&4{tNA5zf=!%P0OSA}9BfMcpGG^cU&rM~8pKbLst@ z9#$e2b?uL3OJNKou|C;~lv;$> z5>rNYCy)~+S;A-CKLnMX4342&=y(0ZboiP}H~i|kmq~frq%;U#o4f5_s;Yr>%atL1Kl%!a<95RE z{Y2s0M5{}_3f}S_?MeNsFgW!7C(YJ4*kqWUSdHlhlVhFFqczcoWhfn_Wibm`1&1d^ zt}cU{yA|C=7W&{ep$yDIEN?~C6j)?=gdly1SZ;tf9PW+W{m1`?--0W#cb|m&I zSt=8x8k&LWSSn%v1m;)$+XVWpu|H?uug6W(9iVJ6p=5_S!`>5Bfsb$=oZ@vnWYkCm zpVuVgKaKEx8uaGP&7WNmSoZS0EA~}tUpP{FBe@?Q%nPz;k1c_x*_^bU<`Sr{o+NqD zh&*HME82{4xZj{W8lcWH2ret$4^nV%XWSWG>icmDtUQ@E5b;d^9mceLUh32m+XzF?Z^5d`O{o`WB3X*{?pR@ z^nMv~j&Yu4Z*c@0^MvkiBQsFao$MF*p%_l=B* z?1r&F#+tJFA3yF9Vn)Sz`||M~yfCjYY`*|e2Y&rnTkivJv+`@rM@q5xu-@eb`a#8o zbP1(Q*x#(w%W*(_9CXre_R!s$0ul}5H}$eBpr4t1+jJWBCOz@%Z@FtAF;h|c`%41E z@0yGDF}K6oU&_BMI436N#aMpJ#kutEAA3`hukh;fq(I%}MX((6{H6S72FU(!jJGS! zLk-;l`+y#NKYORWiJ4h~N0Dvs73=a~S2u`J{sQtK1-8hPntFllb@1Oe;XYs{6~oG8 z-VZtR9J6P1%OL;PbB%cCdB|I8RWQRjUQXbspc_j$^z;gpG`CH`{ReN)OX26|ear7_ z{FOY2NiV-p+A<35Q(sh!ZXkbvJNxIe`Bh*~>m0Mo?+1f&_m8TZDpkH z^o)n{8_X$&(Y`{?3;#utcdcxR&`C2romV&s&bgBY@)arY(Z!xP+ur~!Q3?H)({r%# z`)09$D$cVaNouP5(eJO>duR&tq)z64NGcPN?;Tzqd)bNzE9!zzdt|U*GUEP^0P87m zlOz%T%|S%zm3-fSUx~0q_cTLD4fE6)6<=Ay2rxW#_9)k0KCnBe8eM+12xc7)`9m4s z!N%?c3mwBC3_R%Xi1uBAuAp>^p0#Qix9qwv=rRc_E)Q-w*;PYrvVkQN>JP4qKFid| zM;VwdrTav_437*APHZP;L4LF9*t80M4wq`pzZnm}#JJ$>6!Iwj#%g(=eMBCr?2YNP ztu9DRlRI~ZW(9(G?=PP5$9tFcsb|L)7GaS(v7kJ21`J*n-x4uL9eqWdtQCDT2K@!P z!w<(HLD)jf;{nc*k?ME!j8{Rw&-%60%{aJw+boAvCmsSye&0;PT$4!C8{fi^X*iqT zN&$P_KyYa*dVyTN6DsrL`KXi2b+pmTo#}@~gPA9q{VNc4^HwkK_bH%QBU`b^ss@LM zY1)qOP1w^`VMK75g@S8Ue(BGU-^RCX{+bqjK^@FBe7J|TWrbX;7q3X~Okoe^ zi(;1)^vV3VnQ*PHX%xiBMB)~Z+q`FDo<}EH2Q))U&l+;k_X{pIXV70`aFIvm!rv+I zswh|6(?UP)3+7|9A$T8cjGz4awF^qBCBwg{4uWsbVyI6k?(IwHQ?7bcfl|R&74_5+ z@R+gdNm;jF{uS=LfTaRvPAfqm8;uw6NgyF zuHxQtw5n9_K>sMv$x{2Jvy4Ibh1-U&hwEXuF7UaU4{|Bw+XWjOQ1{F2G7ZK#&aR-p zcU={GC!|%VKQUn5lX86iJjDoj8xkM6;M@ViHj6?z3teUtG04Amdk zA6Uwk{g0yaj>qzC!+2${tZb5BWOpVxUD$M=9A1a^MGst%yq(z>0OISV0wIE~p7KEboJTBai%n6L0S zzGl^fxhR?QOs27TzvX)+oW!3EW8_A+`s&a(7av|ai2iT)|K@1~#0KHTpzi65w~=#E zAS#f#Hvl=KWnX2G$GlMScVzZt79=L~(c9Uq zfFiNB<6X{L5Vy}wzS>g@VuZ`3BPE!#r4BuO2=lZLCx~f7v6t&VnUgm@cw;{}Q+nuH z$N<~|A??!sVJKVET%S|J_nOY|&fTRY5TN_(I5JOw{@Re@0^Ui;x!vYcg}o)aC%%!~ z>FI<|3}jy$?ApOpaVn;Pwi^0WS?b@SkJA00Am6JI+*6OtFCPqR1UJ==vwv{junc6? zP{4h*;dP6$d5>(6iK3PA4f_sGP4^6G3XmuIRdu1PaS0B+Q`PMAoP;m+6O{weD=?V*aP{40X(B0j0*$j<{C}W4gYo(gaN1 ziP0ZJdm;Hozx+%4UbvMXq7hRx4W(>9c0DjJ(KAa%NiEa@&okb+>|REl^KzPMq+}&f zYS~ttv5mWVe7#LzE7I;wK5i$@f^%B6`%J+YYSgtvAS;_!=8^qG| z&d_^+Iyv8vI_~r)WTIFx;{%2DxARW#RAX<;hxSUV+C3otE zCui?4+w^1ZbIXS5CvuF2?bI8qhOr;FV35UdYX;aGTNBF&70_w7D5ce13{=ZLO|^Cd zFx#3I)x0+Ycit*qq(om#;H2QJJ##BG4bh)6rNNwKJ?Z5)@>4*1*zpzjk20v@GfIrW z{6>evj*WwTIq*}5p4BvH0fwwkH}|NUz+6K(oge+XJ7lr0DL&Xg5jEWt-H!gm@A)=2 zaeowXxkNQubP{A1?$!}kW1h06&haSj9Y~7FO4eQ=KkC1tA0JOFz?Y#YX=&X5|0N0Y zo!&?O7fC>p;L#P39dPP0$2}))P-(@iL^teBUCKTlQx0kcBwH6>bR#GCnt9a$^r;(Z zzKK5H0zD>|#Pp_9L1>y>z2Vvfq*YmDmku<+gy^Wv!H5yiJ`gGtmfi#o$33}^8`Qyf zvJnwl?8$X&PHf{omJF98TX8z#yf~HW}WZ zKHEE8lr@`#L7hLIOW0fT>HT4P2IQHI#f27yA_v23Nx6g+In&RcIW;w5?v-(Sno|pV zN)8bZ@*b6L1YLFQhLLX6e|2aUn{f`F=-FT$$NSLTUl+bu2egBTnh22~eKk;ByHKus zwis&5U!7Bz9fx1hW7pvjaw>!>h5*$0U$Tx6{c4BefOo!%}|8A@!C$iRA zG=C2Lb6UaCN{a)?U4LAivtBs_9VA%>R`^_O%iJgv(iwz$`%BcNSB4>tI=R9)wgIk$ zXbSww$cN+vmX~%hC2;sx*4|mJN)Ss@9@dP-oTFBO>jm}};J0jL&!w&c`)al?Q|Obs z)gl-rgy*-1)%lp7Rm|~kg=Cld4Z*%LfvrKZ13bSvbsyqf0@hIFey1kvOW%me6@9q? z><$KhUs|ld&OQG34cK3?ez`MS_5<>JS|w_3At$<9!2ZL)>v^~<(QxS8`B6|MXbuqa zm*Db^+mQoXsHk}{%*nZ(V_947fQ;^TcT;|Es(Sv+0`Ove=w3MEg1gdSEFGjCdL&xBnFC{a+uMm5dHvVFy@!3{QGCa)$_>C;0Bgpc-~{x% zOWE-6mK185TXpKFhS1KcHr)7%vGG*+^ZG9T=o8AS&t^nT~O=k+|a5;Ui9eO4t?AY z70v63+2Z@x->}d%@Z$uiCLQh~j4Z>EE2gnCMoOj|_gr+NAE;nB0W4^ZCY zT6e`9(N>{vGTz?{vY8_3Z}&p<0a1r9SIVG;fme|sx&~CPCOHLR9{}0szY)jY&%n*^ z=9@Qk+TcUboUlhW<{LNy&XADA!igu(C%URI=SuZ?xqt?H7TMy9d*1Y5@8wgKV!t`; zd1R^EBgGtmkeUBf9Ok!bm8Zy%_s9H|%eGu>4tdGmrC&<%y=J{OGln|)Gn;73yUr0H z8&)2`%d`wK7FJ>zjSb*Z9L-1Z=tS$P@o?$01Z(OEbg%14gKAw`*2=nrsxva!rdK8#$? ztw#sY2f;6MnX&Xm6&xP;FWn?y4hm|IOWQx|16T8ZVKJjapdVo{VKRh0Mn`rAzb$=( zuQfqU4}1uiH@I<4$e;_JI=qq+`Gx+>m$%I1i$;M+?%=_V*KOFRr6VPCvkkoGrlq}7 z>LFkDcLZBH-k-HZYOm&E-|=FN%H$d3%U`MGt!f#7mK#JVH}U*|c@;TD#R*smljHa2 zKn_!SNOR8n2r!$SNmGwNe?lI!Jgs~+$cxE5V%6*gO1Ept+!NUIAk}c_&1x>#90}WF zx14nceAeH*TGKvY?Al1dMI$}-g@ zKLm|}eo>)@I{KmwhfSmn(Kpdrd1Aqk7rB~051O;%zVeO*^~?lvIr!4z&R?bJhx-fm zG@WVaC$@FLfhQ6Bl0!8(_j-VhEwd$9AAMH`&uZK&8iVo7cZhtOfJ-yNp1&fdu^-$s z{Q~O3N*>YOmgQ~xPr5F0)GEYBFJJX7DX7!VYU4(dCD zFN&?)&_|i(b=Lp=fhpL6YaoDn@jUShK_$`#2#OIE+ehB*?pJb+;Cb||)%C>>ZO($| zcGI`FX_H|3UDy6jVKZF)=+gbcbp@Uo9o9aJ{P@TFU(cx1PXl8c-^_4I9@I`P2AAuP zLuisnI#GEyy!sKIr-fY8bMK6~sj!EDp{noH#%?3bUahu?AIF^P3WJ+aBJMkf|HbkM zj6(*;l9Z#(3~&l7tFK`GCMWRhzQGdqo@wySoY0;J@}g3QBJ?HIt_6v;>fqk*Imw65 zpM!z1H@)#6>QOe)BXb91;=xpVNQ(e|BfVH-urh+yQ$aC4(30&{y!N;2g!NF!Z^o9X_*j5BKpS z;;Aa4ZD4*p`04>3?46;V7L56f{0W2gkqrATNLkKP@qM`jGbO_fp9`_~ly39!H{^K~ z_2~f`pxY_Bk0TbIzLb2gM7cj)YC&`L*ReD)K_C3^}WlRO>_y^ z$IKGhYl`=?lV+Q+dJMTr%~^v=TVv35hGP97>LzB=8r!0|3-EJ8AtPP57ddZH0b!m? z;A;0;W+DxH7XBX3{j{Um_pbT-6e0iJtFC}{ zq!RWo@e&m<#G2RQI>>9DP{Sn0*O*1CnIzUlc#a{8FF| z^Rr1ykobPsDj5AlRfpDJQ(Tz_g4&40_4EDUR95ayg`5Si#|*hcnD;JV4CYPH$KL5- zV}bwYW`3|;8MG|x2BEv3%9AsOpih_TMlbrCj*^@!PPMEDxTaM9C88TD25l3gwj1Eg zqoc+L_3+mV^`$Qh&%(gqyDZHdCy-NK71o0}^nqXLB}V`K&HAgN{SQ{)-!(SvPp=5L z{+P>s_RtUBl*yBIhSvgZ$m27d!pH}@pnY;RAA5*M_Piz~n_&{SwawFP*5hb8sb zrr`nnQDovVa8K;&;vToo;H?hZ)me9CA8`coCBr#NPz@+pY1BM0nU@28@R zws z?LyyWkLKiQFXC}H7VBu3ZGxPS%i{%Os5^VgTMr*ypM{H$6*PJ~7vSI@w+6{9%xm3w zobpMf6i5Qn1hT6qKw&}b$uQ;)U4Q<%kock?x!~`(@cIJIG(NnPB%gYaz zTtZ!;iKq>IP5wvzK0FXG0Tu1qZw$K{LHuIy5hLCh*yO9( zzqMKL>WD3Ond<@r1>suhiCzd|vAu0pI{^*XLvvJde(MfST%VYqLk?h7!U}RV*uN@7 z{9$#6(iBemxc3wAI*c)2&8`DNl_nl7T4PQ^+2+_iifWv1eV(3cMP1{htK3KIoAJpw zwq30@0u{7se%>C%kzfIgI5t!C1FY%H@`fRYk29x;_*Fl0 zKf9V%UQIxd=zomS26zv6kW|=wW&!%Yy!#=6b6BpnX^%VlZbFn?8jf?lhbM&KP-4^% zh^8WmHD^1pPwhp+`spF~cFaVT2zg2zTV}m(C8(?J)l61BssW}4?B-Ofm@B;0IkkyB z@Q)Afxm_T~Ieo^oINGNL->3STv6x?WjMwqpKp%toM~0?1j4N*JsH!0#w$P3>cnHi4 z|MN@nEQa&O>C#L1eW3rz5x|7cf7T(wM7nG{2weT>FNJ&(%LGNnJrC?-spr2?BG?Eq z7P|)SadV*TBEFP_=Stb5-S0JI=(`IM(D%^p1I6rQBGsd#aI1FsftBVWBpt2S{chO_ z*KO`dQQFRfLY?T>$z9}WY*b0T&KbuXTANnWjYXg&J^uU_`d%E}F3j9JHU#g|*I2_R zW~T@cPhDRk`FK1Vp?JVovJ@#=>J0C%zV7|1-{uDdaj{dXo@iX^=Ft77)hgfC1 z6?OxILzkZqLkWN2%UR@N1Xf>;zh*uQL_f=QsKd}VoIG`M4)bHosqZD%g3}>_TB^-q z1%1};J{6zmW`Mr*DLdys0#LTU-`Yg(P!BDCb`|b8J4>pnP?=c7F}I zAbd6JVy~NkZEcb{Xl)Wc-Sgg}%qL(Ug6BP@D}%uFWQ9B@9CiI?C)JXUN5gOCqCN^8 zV=Rv+^ z^H<)*uL}_nb$`IZyMGRn8GJk@6Oh~NEzi#6(+?+ij)yXtW8b~V+j9p{51-$a9VVA) z!Ja#jT>FA$XkjfSv5IMd)eD`Odg!O-iE6c$%Ik%(PK~ldI9Hn86mB(olm}tm#HEe6 zfArok=RS%(W&FM3F~Zu5aLrq4)W{pTd!%QSMmO=C*yvpOSBw0|`!e2fE$9RFd-^dM zeMh${UO5w|&qGBgvGp|a?@UWPIt7vE7(PCgeC-F`4|At=4kG6(dEkv@8v78q?%9~V z_&or|$0TNLs}dn$^0Z;}QXAOF4qq%}O@){Ld374$-qAy<%D&)1VT_5b*DaYKcej!=t9n|0a54e#&=)&Bh1egASTF_wl zC{r-j4m?xJbfvRx(64{|Ff$i&HhDH&wIt@C)Vz3PzHt)fYNmb*I%B_U5v@+wu3Bp0a|@#dhQkO3_?v_8SKE zM=9w?;}e16$V9?p$ec=>NX`XT->S5kUxB<-jrXS5k52XQ zS}fI@}4oN%M_w1#T0Ki?w1uji={u;N`1hz@fKKsg*eg z-)QKM`;ZR-b&i7UnmmVh3G(4cr!Gi{O8%H77watV|7W*7@W|`Qw{pI0#XWN zT<^88U*0|{UnnLW)NdIdBP=h%?-Byh#i1VLv3vczkQ|M^Fz@QiJ<~8hv{8Gvpc-ti zD2Sin=z_pT@$wDg2G9x<4^fYTxI4#Ki+l|H zV^Gov+eZEw=dQz%dgS~1-H=M4?*}&3UfN547h%fr`qWJ^>^l{7$`BhL0~VILHVxd1 z$KJJ~(5e}S@ngrRH@?-w?>7UxzNnwh)E9*Qx`%r*wf3ii`9l!6N+)yGyao1O2J;Ky zzRFF3t-R174#>CAONCCqi`TiSa<^*6B{xIdlP6Cmz}OG9TKENpbZnH6_O zWz0Eq@6nid?#}}8U5TP=Q+O|EdPd*jiTy-W%$KTknqh&pIHl-4{=OKO)1T7@LA}Mk zs+%VjqFYJ5WUyb5GSk9^dS?tOCQo0ygS_jG5m~Pn$nDX|W@vq`JPZao%_fT2Yop-a zl=ZNR0K?pyw2F97mjCzvWo8pu3!#*XD8%z*-8GbMn15c*!dwtxoB7l zZuVr?@PngM!EddQt1|H=J*bmV4BmRXJcZcrOR+#kb4Yd)gqO9WUwrZd-aj7+B=N}Q zVcUD2k&0Z}6^Y+l$m8)|mlz#JZa8D@?<(!RY zFkI5%aJr9k@G4#03%gFRRjG55UhaZWcCy>Fdc*MIT!|7L>Jr07RgBM+=CK!`orUP# z5CoXqjZ@!7PD{npa{^|4P;YG@6s)!YrF1l2`jG=bYI1iX=|>9m3>}kVxE>8hyTeqO zH(SB3gtp@R8uAJ!#Jp&e27oK8e5?_5Z8A4u#W37AKE0wXTkE_GySvT98mN=~t9=r) z>RkZkS09GzPa{t?!1?`C%xk_ZJo(ic`|3i{S2p+aYvEi)Av^t`4gBP9W9Ft^1P9gq zlUZL|;UTqdD8tPv_>^?EMCA(hLTa*(IdzS~C()|5>bLDcLl$s{lqVFX8wJ-Kt&kU8 zRVb+wIRZbAY-T>fT-v1ts_Ts@)36sbH)$m?1$K#Vu1(|nE_d?Ya}U!Qc)sf6aIG9U zzqPjcI%c^*rq{q^#)iHhMlWHX*i10W>J%fc?}NTfPEXNqV^Hv*^+(s$4&Y;@b_!g< zxhm2(QXQYSzE4?RZwbg>_{O~L6*mt_(y=*B!#z+N^D6Hwer|UD&;HV4FNo)>TrGz5 z7P#?ccr^L`BE0?*Z6_Br2#ps*qI*y$9iWt>Id=?mqt0ie;)1m9=E9QPBKg#lHaHh4doeM~5`=V~ z>gwTMCpnEs{ZeT$%o(th3I=t8M&$>~%3Dk5-?B56Oq~J&qr84HUF;EyZiyT*B)|vR z%+D{0r-6o?@@(q&ZlFfy3?So^k4t#$4b}=q#rBFT!PM|BgYwKGT_i_BU`3RlMtv8Dbe79 z{)O!UZ|=So@CrO}MB6wA8v9QRy5oF7PIW!FmU0Q6@fhR|{#XKf-D1D2$Ad6+FYcc$ zYY$ZM--xWlys|>dVJ^mjNnj&6kQr~?2EVQ{hS)9F!ig7lBR>Snq24`GRvh_yeziAv zwg+cG|047Aqj;~1Tc#ZMJ&t+al<_yqBZWYDoSHvRs{$z2O+@ICE7@zR_#l;N2y9Ek z=vY`6AgMv_ozS&$V7l~TOHyJmmTXqbb zi#P6c{~Lok)^H!abMxT(xwT?nzXMv{4crOCe1Q9Q^j64FHzfbJ)^Nr&58lLmIHhHQ zyt*OkSOxS0>E5MVldHqM{+ZR%)mQ%Tv3ou7zC8A8##l$pydDL=Gyk|RVIG2pGYpu0 zuouksZOx<28hGc{#>ISM8iHPieGB-x0#OP+vk3wH@F1Dqb8T=Qa(xGKvbM{?Z@?$# zi&_(8Q!S{MGfaV~Ud%CtnNf&0&8BchUkTASzVWlJ!%(Dr!MjZf-{W2l%dgSblw_!Q zK#&ak^E7`L$K3h}uX$n<8bW_eSwx7iSp=&ad4jh$0X6YhL|%|8_8Dx%TkAdO9?o zWS^3C&j4d4ZMt+iV|b!po*gGjKp%P|ov7&mEIsADEc|F3oOQWAiVmai(8mAecl13O z8+pH&V;a{gg*DK(@f#4ueUy-g>5k`HjQ;CaHwI4X*E-$W8ufS{X4jQMtZeaR*@{5`S z_8}i>Drm9A{ojPdU6w>bZUye%Z2)dU<%m>N9@lK;0}7> ziM*v(!3sw2kx#V2Xoh5dSgEADv8dMu%fqyBn)sY$nh|f*;QP8ouVATd9eogc{Jy*^ z1HiB|B;6)m57Vo8^`FAAkD{YX%;P!s{QmUa{c&LeTCU#Vdw{uogXJ#QPk3%~$S`o{ z=NCis5s#Uk^guwH(nPSrFqHcKvxvlV;*+PVQ!4sCrh1w}O>8=VS0y&>3Gz;(xklpV z#Fs#9f;5Vp9dku%DlfX_24TaV>&aN#G~AA8_%Hh{Zmp583aEb$cODvAE>8GIAT%wJ4>-N5QtLNcs)tsm&T) zzw`ZBfOjp#zYd%pfrN`UKMpd_!YPM^LFUm(DEsx7~~v<%+y_Cde3*KbDUpFp$U^?_>$zaQLEjtQvuKhwDXkn7$sY?$cH zh#=QKEp>(05-*kaIVB(G1jLAu7_PGw?aximB*m2e89v zX<|kdFlTL0iD>RJ6(%(@5xZIUsb*E@mo zT)t=OCi0t;Qxq7h(BJ!(TfvxU6y%F(cQmH4@6!33x8-I6P&izfW~AwclRZ?QjIA&i zc~4I!?mYHKt);MiyWI~}yMF8ns9)M@Y1>6%e>n%due@SA2-?0ackOvRKxE00V%7rZ zu>HVq{Ac<=eC?sw3SBBxUx=&ZKyF*Dr+>Qi#vmm3TVJW7ZG$%s=dG#;HSm<7AX*B0 zRNgjt5RUV9!-DilHo4(k;7c#%j9TsmV&{s)?@V=Kl=CTVX+5g4^T{d_;ZD=fXwqtnSYq0;D_6_V4=-E@ckY9 zALTfHj%FUlny63f-1}vci(Is8271Xq`Rd`k$DyDB3$uZ2MQfC^*<{IPvG;F>s@$5X5T3duj<9;pb&1Sgjg9*%E zUXoFGw21m-Z2dTG4{}Ed_EDU;H|yE?V$F>CrVPHee!Q3dyf0H79x@N~FJnhZ)Fz-b z`De|u$H*7DO<8@$1#>rYg)%$1Co=7KmkdJwXA=bn!*BZqc(Wa{?JbV?qx26XH#NRP zGqKJ3_gTYX%OO~=Iy&3$lkXyD zz+f;b$(dsm?#6j#PZUjpb6!#(XMPLN{%(}Fzl-z!&R-Ja)n)MJ{`*JyNHg~45e*ud z_MmPj%(~mR08(cH3&(MfpR#$(V$TOjnwe|>BGK8kbgk?6F-Im|1HdR)FaJeSAO&*ST8rGb6{kvAVT zui<%X+vh+bf}EqX)by?AYg?g1x_o8v0Os%b76*@2OarM?zl)t%I?NDkC)Fa`K$rho zq>L&7d+yisi(gKGh>7|pfw*L$Ux_xfINf?b%?lL-8gnY6N?UR!FSTXUeBM z7KAQFFl}0nmO;)&^S#--!pKea@VfYn_3seG*FOyAM?S#1zYu5tWAxFJK2kp1@B_}h z9@9O{wunB3Bwqh=+%wZMZM)(AIOfgyl|($>O=*l+DKWn&7_Z~=9{2hoP1c{X54FI_ z;`j+_^x5tl=;*(Ud4~2>ZHa2lCCnKy2dJUWmdk8%qB*q@`krw1CUTF#Wh~Y#y;BeJ zymT=&JPVMbLl>dyzYI1<-B#SG&=qyNaT_nR4+XghdrE?6xH58 zTCwk9+>=y3VFb9^>%xg{^ud}Jv!KK9B;5P7^raj*a;Ap-gjK_8NHF@3o0oq9c*{AY zJB}P6RG zYdg1a-dL{dD7SN~fqbEjWoP6DeR8v0;}8o1{;(jQ!3oqE>ps;6boK-D9$jM`S2`qH z<#Lyg4#4Z(v)4nAd&6p%eI~hZ9z;Jk3GcUKZ>E!QBH?Z(NZ;hSO})K#${WPF8E<4u$HSHDe~zgkKOPCmhUI;L7T2h10n2a&S*wB|qK(6vt_PbNDWRK_gSx@5NqVE_&OQ z)_CoJF3r!pIdE`Sf)f^E-p7PIo z_A=;0GaMLa`^bU3Q%i?qAA>@n$NTPo(|NUUKheW>!v*u;y14;5yVKzLuf!-7b3Q5w z{DZx#*mLpuzP$e=0Ui!kovxs1gkb%Or0hWS4VLm;RJfM~2I+lt&HKZcPv6vv#Ph*= zzsRH!_rTK)$6c=e#k?R{aK14<4}XS}Rw&|e@AFk)dBg_&ulKt%lu%Er*p%xzeF6Kp zuHQ@5S)B#P*&_9OsN24A+1uAap6QS@`{zH3iy(V=ZbV3C88%cFLjLsPJafp?hd)vU zY!3ZxduUk)$1Nj#=!2WR0i&2#pW;qit{R44I#VO}1gr2IxSzK?@&gRNp9=5k z$b%h<)3!~xUrN?Ko7al-;B+bZD`BDps9rBUyw5TZ#ZHDAw^tY7)&cJiarnG)1d|J9 zq~^i#8A2R?^B|lHP@ZQ+J=^p;9hYPn_RfmF*>kEZ0S(319nJEnYh8Fgx?(>;tjlZjL8HRMt^@=dDHkHWbE&47>S$CjNJ=S=)>8fI>T^XN<`lv}JD z6R@|`ncV*7=!r>SDpDJD62-hZS8iOVbsvmBlfKL)JPA~1JB>~!mO`lH)llDu`EcE2 zFN*yc<{IpuJiai1d8r$Oi^0c{TW7TX$eFVRth%I|3m#;^g{1$Yo&^trZQ8y2pW{ZL zSiRGo4*TRfsoit$uMJ~Q&-c@d?4^)kKEkTQj5@`H!Jru4BW*+Cym)odC#JL~Sl^HS zu`ity0er|4(PVmFQ!@>l*K>5gaiD*niRA**+iplHy+Cn(8+)_P-VHCux!pL?@vrXn zRM@)NO(R`f~BlwPZld!Gs+EScHcZIj>_%_A|!fjw4t z_>K`H&zDdlPU(CK`AIHTYE*TY3*C)8JSTzsotpubr@jn9ZU6^Y8|eyMesgm{QDhGD zYARCl6;p7_>Cnrf64W6BvRS9Uy@#o4(@be|%o#`e2ED)>cQyq_x0b=Fe9xz)KhN^FD?Hb16f993sR+7h>{WcD#)}1Ikd~mmr-Y3 zj1>?F!Fi57{=2e9RulXndq%Zwjo))Zk=<0_93=Q`-3@B%0rlAnG(Hz9U@*+7<3z$F z1PCV0+ooX7vQPbm(iyzJr>Bt{qVHw;_Vf8|zIixz{?uwPvm*dG;z?`em##3(8jhX`D9755rdXBhyVGPf)YBHh{aE+HV+G1?Li)oFt@j=a`0|n6(rF=IB@SA`b>3{-X@3;z;B)Lz$)har$+xqQGCMQ z>tZ?8N*(lb^#0vRajF8+$2y8zdW7W|L?C)Yonkk%NzJ7>4HmnkoGob&f6#Dd3QZ7h-wuYzK4Gl7= zmojo~mFqwF0siUQgO67Rp~fPY_&)A~OlZ8%GUFVQ&Czl>2m9uFnw}=yyq^NL7kAj- zV4q;sqqF<(F}I^=Oi&@2EQ7hkFHa*P(NEUT($|K*PdcyF;eO0D*GK=Z8DCt&dp9e| zEkE=p$Gt0ih41l|zK`$!IgP-#Yn&2;xOY`pGUmFEy1&&fLzQtg_HX2hi#|mEhqf0( z@3sxk(koMDg_#FFHA*FB-s8$kQQ79I}g;oNm)ByT6UP(TA zp5FoCr-b>cvZf%Q@7WQ-zdbPQNC>xHUj#ocud;{NR$%+f@lH+jRSG|{KQ(&_drh*- z57b61!?_4~`cs%|^;#4&qOHWzPqzgFbk+-%njio~7UHT-J$XPh6b$d2a6#aFk z?yrsBq0gl_Zf;u}`Duq%I%)Cejr^M5tCL4g@}FFKarYi*9Fxs{wDJ>l$9oGiaj$Nx z`imu2e+5QZ1I9cL_5u4rWhv5Fcc@b(W&aHGU>xw6`iuGksCG2iB<;n+1^H_0Sw_M~)jexpJT93Z#k{Jbm|c7@ibA<5TDw05!uhgAd5x zBoWBd5XL+nslUsq!KM|cwT|GMd5GLHx(Q>)R|_CFFK4eSxd6oZgWP);X28wOLZTV- zUh#)A-2d?=!?9eAG)nS0=neQV8Y0^ZOCJV4DFph%EshJ_vujK6a8_a{st5OAHy*5U z6{^CG13vjXJ+tsBXZYoFk#_KkWmW$0q!`TNlJ{p)xbj08ev@n?;AUKO zF;=q%p4U(=)OjK2c{S2dPB{(e>Za>#IVYfeCt%@B3+|u99cc#*U7$p$$#|Z(0_v6T zQhPbgg1uo z_5+_%%17aiQ2b-w`wd{VF5H-kJ|VjiYS#qGEO5@D4m&>F0vgX=Kl4R@b*zSpD}sN3 zZ6l+TpBV2Qgz$M%^c}c)HU3KSNPqx^b8o{`7Gaq*$966i{mhfQN~t!n;7%!k5%eKg zVH_9x^J0~sfmnOZ+Afw`5tWEuK) zvt*oF)?#v?yQEpuDqsfW``J=U7>dEsWNsTQACgv;IWp%XX@9;BUJlU#LrX>k#ToQWHqPZ%(j2+ThwdbAGvq= zOYI_jZTa3Ci~iovDz8m+wA*1IoNQhebI;A3WOeUObpwA|?rcb1BG^T#msmC79>8Qh zjYc9GQg0N@G!M^$YqH?s9nS$cY>@tVEU+0)6TY!6dmt}D^TDX}v@LATNc0sgrGmS0 zji~ISF))1Cc_nG96e9I<&OezN1Cq2s%00q3{1BC6e>{qNL%9#mOx-`B)c=c1rDHox z_`lsRo-F|OKz2?CTTlExiMfWK7)Acl8`?j3Kf516^y#qTGHA_nKMrXhhuGn*`{c>E znW<_%qK~{%CreeXlbDMp-z{5QFv9+yFHtg|_3B~7khn<#_Z3NreMfTtqQA!eq!&TO z91;VIh{BwZS3UDot6?z*I0l?N6L0mxvWfJbHRj<(oEm=BVZQCE9JOsEdk=h+(TY8R zenJBWQY+Dn9*{Aob?xz9gyajqd!KWlu05qZ(OD6Vy|yQ=Mxw5Gwp>o{Nkuc1pL1l8 z>A?OXp`Qnna37fV)$^>TE4~NiH>EQ$r*-u=$1I&s8{};Ws69T_2l|(!(=_SO-;(Ng zwc}wkG!HF*64%j(&`(0OWQF*gO*m0WJ7O=L43|+5evWG;TSBBExF@Q3vA~1-?C_q> zH=Yv64S!GakAig`9KhtoyY+eaCj1igFCb67eBJxT#$fRKcWqbxVW{gf zKc~8m`jYD&I2h$N-t`iOg^=QQtYqGD^{jkJ(E0e$7)$sd0X$9oamIfWT0qi++3%a9UA=kO_sZw$a&=?C*2{sM^ zfhgEPQB!w)EH>XJP*I};{#k0TKig(*^l`+7wy}t?cf|Oz`&J8783YXOzWGP~&;SeJ~tD9W~Y?(7^7-jXswNpEn-Y6~MUb}^NL9iE8 z`nMZ(QD2J465|veEQk57*?kIH)Zr$=+CwlW*Sw&Y1_jpbz#l~SjVc+nI`kf)1 z^Lm3R`g7pr+f$wrW0=zzA{qGa;}C?{T)W6kqE{wesAhbHyQX) zzsb7bq}ubR1MlfOoWx_}uvB=lL+-~E@ETG2Y|Tx;9jfc*CjOYKDK6-3m-zs0ALaS% zuYQNJdG$c%N$i9C$wqg^7Vn`iuN6PUeUHYNopD;?EFAwZ#3RN$1Kmd`_OpgNFs`cS zcI84nEO;*KeUwLi(CuglkNFT}87}|kLH+Id{(qa6h4|;PqY{jb7eMAqtyTLE^f%Ex zwLTPqeJ$or)Bca9@jW8>_@*2BMioYEQz+75V5Uzr@-+HS7E`QKk(2ZJ_J0q*apF8t zdZjd4#~TEwrS)Y`V16P_@LD1Eu2rzRtM^6JCstl1xm5U;%@F7^D%tB z2rBu9kOR}*Ej;7S)(w6vT0(>3)8KZIIWo;H33mK`y~w~l@YwOjfX*cqQpYqf<_T+&>fjQqhg;wAYF#Tz=i#_pUKXYlHRY3EPjaHEZVPJk*lJw=` z0GxYd;6RS=3GR~)gV}525Vx&PAMjR>4IuOHDJf_uTC{w=~UBzWCENhjZq31 zYJerzhedX{x4x>G#g|qnB@GC{%A_h(gP4c^_ikba`w4%noDSe1fWny9QC|HeaQ-T8 zU>IBnha<@fiO6bkuUulmGL1crI+oPgvH36)8*SV+I}DzDihmF8wSbab20anmI8@p* z%GTiLrQNGHH_z=1z}ek(xv>{&l`P14-r~G=|L9S^S51(0l>A}`V>e`N`cunFmx4yJ z@V`{#_Wd${tD0ee96tYbfqe(;C$4uoI~r0AHg)%`&Yy3E9J_Fh3iSO6-)oCoEnWr# zuOnZ$kD+cZJ}1NYtr}`?e(^k%kI%aq^QlhtMc_LU$#-O67}ORnBFIssaaxu=k-J*}zs<+qt4{a8XYmkygH!zwxKx_y z?t*_$bJfS&c&@xzivRQbKp7b3J)5^cj!N$P-~;J4*fVByY?~^n4VqQhRC96up~{t8 z{2es~htKQfNgJWRFTh;kK+p=fM)l0es1U013f`|mtT$VQ7mMdV1npl%y%QaF`6 zyp4e_r&SX^64dQ|-95RoD)9MFY%rJY1Fs{xu{R3)!MiD|?-Vo66ZCCDxyIN7$0eo4 zOoV!VQ!a%o_88aFRE2-D83)aPNKcSK?&E}~bv#QC_LejUm> zoq{>a!QcAHI#KXR*=Ds~Xas~wY=@I-BS0tqyvG^r**GcAHNKdM?}@~#9W>YvmO&g9 zdz%jX&gpv%)QN^cteDCp?Os3RU7A0g0qa8qSTXDh_xj{Z- zb5?5|&{(+58!(XtB!m94*(P0}vf9}+fqqp+?Gqokd*;DBZ9L4vZwx-m@Z`~2wL_9h zwPY&h7YSn@{m)yV-mLpfB@%sCXUt?cv+TOTix4grhPrITK&M|fZxxtv=~t;#7sKPS z`KRqQ!yw!Jc++2c8qA)%r16TC!YjUP1;UK zw!%Ah?fJhoeGpVV@O!@$`uD&6o><9MX7z76dcR~HPeQVcHKMr~k(EHBYOc znF0B0Vh^Q|KgWKr{h+f0@}n0_EuSm&!|q^DDJ_m4U>6u!tt&hQGI<%5R~w7qlKH0w zfzut}m9yzvsND}p;4C@y40(XBhUC+dkt-!m_lWn;wpYN!&p2`A@Gwx$dRu3r?s`14 zSElyJ1ej0nzcq3?3q%gSOdo$c2-?9-+-0c$J@1OSG*LGVI|kO(cg^6n5x0-jJVOkj9OUYTN?bW9toF^Y1%r{_Jiy$qwzdkmr}Nz zVOfrakY&)Za#X4roT!%r4!9SC`WcA>n~lE1<#+VXhWWiaa~i*oSj!`R|vRIxu<{dTp^3_nnLNQ{Qvi zAp7Xs2j5Xo)Lq~{=5en9w*MAB94OcZiQb*G=XoY!=0Nfx&)5PeIa96a8y5$)IyIQ`)v*lSF)xh+pGclqV^>mI6`}bZY$mh{vg}7M|?@MTN)**0LIh$2y_W)?U ztMJbrtOFIeL3bv20{eW8Y?U#WEX3_7*|!zv`9*)<$h8+jbH8B6UYu|1PkEeqMU8#I zt?;gugE4R>FRIKcn!NfTQlt^3DqR(8pbRZ%q*A zA0n^gwf{{)w&D@hCkHWiI&kNQEpk_V&M3s)@W+1HdjAu)Cdg0Wcrg$xIfK1l!R8#l zCP36Fhi~(mep8BF`sT8%^=r;=Z9zw3Z^DF?Df~W zXbKX zj-NAOh55iTW^}9sxjIZ1HW9zt>%hB;yUaJF8CbhhepNBnK?Dz%i@ft79O6}^%Be$L zYs=lqYj>vMY+1N(>gyp;qB&c5Eq(^`6o!p$U3E}C8z|`gtqVF_+~QA4l)@(+Mt@(1 z5u7_VU6-&xp9^!w&mGbkFgPdI!@WEPSpza7Q5l#=RFB|8|i0KFCu4d0$MY^7uj{89i<4k=H{;0r2;@gT zv(=}K`3{z&CyfhjC&6z^xPQ7=E0}bBx~;@F0jDXsvwqc1!9y$6w2wz-Vesu6SBuG9 zn27aRiqb+Zghq|wXVU^u_}m^D8&?co3GB2Z-@<`uE1%r{mIm0uH#5_GbOLPTt*P=K z4nuEFr1(EP_YazqHzPUdgArV7Tl}5@Bh)4P-+Ra4eLS!(O$d9bD$t7SjrzI0@9D5( ztWm4Xg|wcp$lH58LjU@V z9CDPeJmNfu=So2v$*vfjUrSg|Kh?p$z-M0rI{$|BgH-=R<3r2+;9+DGHsyu=Z0g4! zbmOD(!QGc0)FLOX^iEDyGx`yWTc~3EXdga6WYR8qUAPu5zf5afq*7Ye__Y$k@PbnTN>f)V5l)Dv26{ zqnt`?ia0lJd!(+~GWi=gnMhw0zl z*tb$AY?5YE0H^oS4qYh0>w)WiyNIGJ&~Ek20`}QwQy=}H6%UVoZ?sXyR)KBAo9eO?*n_Ph z?KAgn9Et_2EWcr%HB85%&_SRdF8aPr*6yB#JEdy^Px0&AHc@tiF3u< z3AVLm=^2n@b86Rx^meEg+;~B)*bJ4A8Ci3VPr?4I_Q3$un>-IL>p68{|6ky@{+aXW zD|tadrK^t|ut!NtMbQ6{xN>UEfHm0s5}Z<)Ke!z+6Ga+DIPfz6%Q}^7f;kA*3Y} zfSeJv%_)u&=BQVey_nNxb%VyZv(H;Ykk|I^s8oyc7_6@rXhu;M!9I=cHGk2sz><6~ zl})G>#FosgWX3UvP|x(xj2r!$McP|vuqS0nZRfcjrVw~`;n?{+f877p&bH=TeS+=j zTi1Ol`oPv`cB6y`c`wq8LQl|#`{nX0V`k)I-CE21u_+aGx&1V;v^ckIZfW`>@UIc5 z62H`c63K($-uJbK_!F_eK`-?V`dU@$ygQ|FuJm=N-Y;Mm`tt=ZWos6U17(%$1l8~u ztfYDy^C3^QUaVu&DdgY?yT~24InoPfx9-~I$TJ02x)2=bH32zkt1=Icw8NWEk;8K? z&0uccS$Zrl5t10ncetw{-`8XP&xuF^y607{Bru|0Tuf0?VbK6DECQW+Zw^9-tURMH z>X?6z9ZxZFZG%yc6A=r@t@SZnl1@ecKy6X7QXz7EYWJ7e@2AGTW|k8NTdFD`wfW)4 z&j-h${JT@pBB8M~;t2^h2~pp6DFzbDta* ze=5p_IwKR4s$n_$+$v0m_vPaCNl~C(ah||-)quAN3+^y%_fL(368mvP_5_>$9R=nf zG3_n>*q3_x{l1v zcI=tP1eOL+T&$+xNScL;XpVw=Ytz7QdGRsJLO84n{XW}iG6v5}N&_qo7Qt!HZCf*( zPya=PwfKID4o;I!EUBz(Nc@$zL8^lshsXFRM2W;HWd z{`!w&j}Mg^yGj?tnlb;3(&pz|%tIV+Bywgjm1GZ3f1DQQ<1c$@y3{ zRB}W%0}ezU$h&Oaf*ij5k#wedXw)vt)!mW_)n>XM{&{-=&!;xq_n0GRU)texL3{*` z-@CbG(h#}mN2u%u!jZdb-PSpYI!t5m;rTrCS>#M!l4YYPfTKT4R9(-EVXk>}T)YRl zVEH>-(yk4l4tC%~c3m%|OE@XhI-n0Zr1Y{1eKR}{yK}b6Bo11s|0MZKAx9$n3h$v_ z?29bWJ#`&@apwl*RGEj76YwxyrA?z7Jg5hbxHC3Fz_-LcZbm#;IsY@>%RdXI8kG#6 ze)d2w1H~Es{XLM{u*LD#R4J(cu87b^E}v8VkHuMzVz|0|p63I51Ejoo{Jmoe^Twr5 zHQ8DxpxX2HwTuVXLB}Y3AOYvLNs>k}dz3oyD2JW1`FTK4BJW(-?xbZE1(! z2VFm}7+|mQ5eE8cyg%JF$qq6O8-pXo0@f|RxW~rlJ zvA6J=@yHCR4_(~I+_GegMh%<}*E z)w%&<<_({0+x7((K8w_BL0&aWUXcLn#w_-BuUr$_K>k>hdd6z~XQ(%I-W++g4*3X5 zm-y0=2UoYc+XUyx%V%F0o=4thh4pDMK)+_^WA9mCyiW3@&t7~VT@44cuf%N2K%Gl< z3$3owFvzwVPIHB(W6#c6?r_Ttpm3Im%T$_$&RqlA?{WVW*;j7-;ARo1CA^yo{ebzr zioARo%qiLCdA;bj9fQ%s9KX$EW+3ASr_E*|^utilxL3`Vfk$7J(9@^Aa4~Z-`Nq>u zka^xJ7KFN}iIb(E@;dqn7r8@4P}kp4r*X0RX$y$2WDmZ6oC?hPwFy^Nk|8rCudR1y zKa6>IaET^hpP7^Loh8KrADBMUcVV0 z91R5_qn=Al$V3l)*lTbN(H^iZ7U_VLIO6;j+&Z7!Tahe%3YvJ?W0J;Sj2 z%9qX$U)SWd(?*gpt8}0 zOQ}2BVYr{?aQu!Q^xtfnY^=6}6JmQ`_m&ian~iT44ZhA7%3{u(b?AYXvp4h<*!n?c z$8ELeD^=ja`A{h)brfhlmw%te{$fR$l$-OYPwGi%>snxMy$ZAR%iJ#+=o9~)DPi6S z!}VdG%xxy&{tl6jX8mFK$C0pfrvUYRlUl7gvtcl={a1A5+z^a&E%SD}g6uTt!O zov9JIq*=QjUivTwI}LUmtm7+%oaMD$*RdbMSHZSt{-pyfy_a!(cMUmj>%W_XKV^W- z$*@x&Xlvk-AmwqB@5o_t4RM<@9DtXcX|(P|xKB2!ILnMYst0t(-d^BIgPw&bSzf4t zl>RIc{yiOV>mol7)z(gUricc1%SXd-Wk-K*m4c&Zcd^3^9=t0ltBUfsQHlmqbRHN*bGr+tw9N8hjP z;wT({u&=U%yA9~32XEw}@Ax?H*#VpFGZ1q*g>v>yASkKTrmXtnzRZrfvJ&rK*F=u3 z?mnImbo`9T1vm%c&ndPgnB96dTIixgQ_;B z*;V{=H|CCHiy!R(uH+B3pK!nT-bC%`s)m=436<9U<4aUI~m z^iY4@wV8ff;V=HY2X?wF(AJ57O6aJjcLsnf?3 z=#1Cn>@TImrm+Jnti=Pc5qdwZ=@`z{g!}fKLXP8QrbQ*^XU(8fu0Qrl4}IVMxB8Pd zJqGoATuCjl-(efih{QwGm3W6wo*XDlfNiC#R;EFPddq=MJ&xKC73yL)kNH)wmX z`h70=Pty%7op&4OXRp zy1zO+uA1A%xRJ8AGMD9Ih?tx~F2{qVZqrYXP7QH;Jzotn&2@qBoCbpMEy0`_6k zonWrwtAc%B+kfqwoPpkYW07>hY2=fLQJ!B-h24ea7hAni?`NuC_s_t-hq$JN>pC+K zD);X6*XU5>{_G9OQyPR{VkOz%u+QxX2gR4<3_q9*V@%Jd?1$eesS*}=-jQf)dR57s}1B<3{WM=P|p@%E__#&HQq0` z4NCvEqeE`W<<_Gzm|G1UCt8-teemg3qjL*Q9*pXyn>pgwBQ!O(%>(%gl=oGP3u|Vf zXq{qJGieO8vt=4gu2jSEgZ);_mTY|$auRSIA4l}UqLRo(!A0Z z;b6=$*7+paVs9ZmwUF_7%uB&){5^GCPZO~{@jR^+@YF5u>__AoNF3W2+*^lSg0N=U z8cFOmU=7}tHaP)rV^4SAkwrf3L9-LZHWMJ$wI#vA3we-MAzo=Wlfn1sm4c6h1(2%6 z=E;Zi(S)fS8=F7aBWv@~aJ4B5`t+0>1~*N^m-87nyYRkg{!Mg`$yf{Ic)9uC-G|o= z>&kyY&SP+ghjNWeeiRZzrY#IGC-u;=p}&8(FZd4E@g#i2UX-IB-<5R?LomY+``t;o zz|U`4l&>8Lk*ew8HFQPrVQM(#kz_wyS>wDOEHVHhQkDTF$YX0wut|A^{gS(fCAGXv zi$F@G!TA{G?h~jCM_3rK&qdc?a`^2ih$-JHp7Sh(Kf$ToG^2x{Q0l$)#l|%7t@j$-aVd(*hh7u2DT=Dlq>-vL(@ zegsI!cS3i}^{b-YJ@7C~*t9;w3z)Ybvvkv+1SMIEF&^aoFUj)>ww@n==T$Ecy>=}D z&$nZnr?ZD(rw6B;8)qrpPwenMzg`B7d1h4N*k>#)@>t;1g;5wOcDVc({i{hL2N!rR zW&k(y--y4c;g(I?YQ%6or20xxb7DUELicXjuHqo@d!u(h zKcEAgQ=pYHd`HNgItGw~*vk2TI8 zDsM$SU90{3Y@q`7%fH~bcX)XSoCmDg_`adPXXtj6;%yh0?(SjT6qq*MVn-5s_$hd$u3;`VxU zy$W7wCT&wc)(k#<)okng`(gW@k&JV(!%!)0-`Shm4O@2%b7b$D0A8l&4k4Jcv*NqE zjo|&_QkverlgP(Fz-ewPOB-;m*PXbg*ae$plr(iSMxk^ty?~Ls9^}G24JR((yyNSt zzX5U_nx&(iejs8DR4|&$cn|uK4Gp`@lJgx<^05j4XSOlxdJ8m4buY@6) z%~F&h$UV(-`(R0x3J+Os0~LKcxZNIc$>`|^N(u^!%lJ+~u|b0$9_l_dGk&?gv9Upo zzxvPn7JSFIW77Zafr2mZ|9t!(KmOO}|9Ag6KI#8F!z=&ozxyAap#gsKKkxt7Gn@nI zz&w{6>PiSWq*%#tI1_+9HK%a00RG)`KKK#4>j!3Q7cXiI!#P?Fp$Lm}e{5)PLebNB_)%?}g~G zPdGdA6&7@i^FVJM7k5|^vNpQ^C?B}}rV-{B%C=4849A*z3&@L(z$e*}Wto*|kW)M) z{p-dE3{33Xtd!LRdkoZt>_h6|WkvG1X=n%ZE=1c0NKQb>_xD}uSMs2VN7V6`;1sNQ zHRP#vWy28XSqCokDjJ+)xhQOgTH9RWvUEi|aJ_HUrdThBUqYJtaUZ83Kxoft%cqsl z`qOElavx@z6|Ei~$j<|Rfp$i2l}@T0%i=}=)bk%G$L}Z|6ZSuu0Q@3QyP{-&*#dU&FmwHfwWj}b^Z?fMV&=2(cdpeo- zqKB4RT{y2Gxv30PhnG?b^q&Pe}nvq8wjO;Zw#{d{c{ z!fB4Y5Any@c%;q5DeOp{kGxQtP2C6Kz4gu-=y54#i9dOZ3^>D4?2L4yEo6*5j|XA-F94*!Y-bdeGkruPQl?*XLp67C*}2; zTHce@DM)O&&mr9s2nXZ7#D{cD!NRL8yQ%QraQjrGlfCNF3LJO3_K1R-WwEAP`l|CX?{8a5~6XA zNkK4P<4MlK+z_&n)8dM*CfC3V)gQvfd!0a&+DBauy+)NHF3Jw+rKCi`?U6KQRoFMQ zlACbv!c=dnwDU&}`THVr<_zAWcf~T(Cv}d%g+&g#VCfM^-`4XhPksdCvo+q|T*FzX zl;-3M0qn|RC&zV6%E&ppWL|BfJ zY8pFhI{$e59fJKmDj}1@9pK9Nv;I{`FF5N{10uAm5}^Ia@Po+Ra(=3 zi-oko{En)zJ4}V7ThN8sy)cd(8z|)Mh)#!)9eUG=`&*#b&zZ+AZVDtzPvoWUZ->IG zHZgk0B}Tdm5uuGna6IFADT*~25XJTM^}lAYwfWuf{MG-s zKK^T=%)$B7M^f+GVm6K@jozZUkcjVfeEaf70zAoAcJ%pDN0{EJ%NKQq5T8Hn8s5n6 zO1v%^K3v!W@AUS(6W!5CHtKJuo3S-RX7qrsets<28+c|fJNFUIwU(*J8U=)%{XZCHTtz?7*2s!dNwq_^ z|CWnp$g19Vw&FeOyIf!n<2sY=Qwy7&#l&gY+lk9CbGE5*IWa)++BKy*qLlI=4CwPf z!Q`^y2fsWL^>D~$X{`hvFqBU5VV4QpX=#@V!%{FKO~;F`G{HkB&f|MqYe>tfya&Da zP)jtM5}@=L0+Fh7X}`C3km>8aZON+xa8H{jYQ`Pe*OKxvtC%G+`hGY28lLIoZ`^43 z@G}`+4RUOq2*ZvLmv31#LOpPIM$yMWI1)Vh*0d${`pD`dw*DXgFuSbHMdz-SKoa~M zPv+bxAZZ5uoNm&SAha&eW3VX+iXJ4cGA#DO-bZ@xbiQKu#;lcBLR%V`q-^Y*HyN&p` zIV9@Z+FDgb4`AU>-bKUTQVw93pm~LRGc?AX8c^nDRw*4IK0hzVw?P*?x*4 z4r5u3gtfnfZiOnJc$C;);_YdL_YS#Q*$p4hjPOL_F2H$^NpP^|5nqL|-?E&U7e; zgavRh97gS@gmS3nVkn*k23#4JFsmR`^`^OYqmxw1I=`#N8Clt-YV`nRWS4D7GFf;Q zK(U3C9nW|LZ14sIYR>k-`KtqV1q{8A_t&YF4n1i!*0*>s*kA|cadTSD{zj5BHhto@ zbRhZeCTbN}GzJvKCHeQhv_g|ZKSylC5L6jk{_VqAgSF-LBH{W5U{H0Poir>Wi^muqx5~ zjK-y%-007^$|YS+=*726@cb@;`2^R#PQ?Z?`@V*;7d?vYwzN`(27NG4S*??B%#*0R zwAi%&Od)J}rLyZ=PaARK(b22z^MttA276bpQli%U!y*9hb3!ZyJxkp~(AYUMk-Cxy zGPVaM{cko9dB=|fiXw4v#-|}TA-DmSijD?{j$qdRn!9I8Hfpf(#@1Ai2Z-um7}GJq z6tXFIfa_3K3;8!nTQ-dyb$OXH5)RGvu;O-Tn}l>b;br~3N$c7qEUX`qITE&d59d4TF zy|)%@f(Lvd{M@mv(79B+a)v&K$SCYnAJl0jWc>3a?b#gio#(wKwF`QL&PKT_3+2Pj z1FBqpt8KtC`SQ8;n_;k={jSf|aGVV@-532A96|Q27n)J* zp8~g7+FGu=tuQX6^tSm|0?_{Q(-o2%2C?4$&EaQ;;J5Z&?O;pn+^u=7>2zZPz{=S0 zMa^f>$g9*e6KW%uf-;U;kL3}+??FRRxutL?=Jh6x_woP3{_20eN+>AiAXDYGuoguV zc686TRUmstK}qUid|Eqn#q4$BAbGI8ZD0Hcratn`!1m^mZE5gjcHben(qh6?z+ zR6o((ah!^03+`v6QZ!r~QphPQ|B`fzB(QZk7QpqRlc;TW%|E)Sm?W#pZ%U!-hH!(W z+Obe=!rjnkWy=>!ZcdKsx$(D<2B(C558hXjum0XE&K32b?`(UvdUF<8FH5(pFK#3% z)=sdDn&CxL~$Vsf#K?s1q=7gQvq>ZFv8 zK(CNZwe5EFKAf8d?+(}`W4OEf|T7B;y9nH|R`Se^qb~dCRICI|iK^NHa>3DrNv65^8qV&}VuxGeLC z^qnG>l|#d@^EbD??_wir2q&!>s9a!p8?Dx@$~qF#@piOPubx=m%IH*8>H^IJjK{X3 zRwt>M{;y#un~WO16TEt~3n+_KO(@E$$)Zq4WW%|5Qd3a55O=&6R?5Ccx}&Si=%Ug$ zXEFS`?KJa@HuXZcc7pq>`C{m7pIR5e405^?oz0W(Vp!oXw%-(-4Mut6_tzqk30W_; zs@_shA~kpC{WT9E;qI=N4NhX0uBEU{R#EKr@)}t?Ci_TRN%Bu=>8R4Pc)`J7eBvM1lywCnfB4tkwB7>5 z;9VP1v4;G$p17C28av|2w|is4Crh!b_@}`5`^YK~9Wg&9qfiI7AM{y1qPO#ZwIcrK zpPz&L=PA@Vx5t2CXRUi2sUS*)s!bZ`VV`{xdb*aXlw|2H>GW1$cFSDgk6gtFwC|AW z>;2b7N)>dhN3zhfnfdhWr{G)=%l7uN^_~JBH;p4FGcY?suktmydYt@puD6k|Kn-*8 zCAHGwB65p1>+#{Y{bcvTqebN|LgIsCnK!Krl3T8yR8DP5M=f?sThP4`P~8%dVRy2Y zNH}s?`|D+rgFalG(fqi-`Fj4iJ7$ZnQb%l+XY&JYQ3tc+JCkIiVtkN8xq(oeHKS3u zfo!Gk|5CR;$skYO8azrbLJtzZjWj=MQkRYD5(BZrZaVHwxpsCWeC^3j)jC=Q)a>d- z-Z}w9Yfo`hUUxd_d&@It&Q(ly?xHK{n~x&*_&#jwnjsjEW(r>PS z$yIw<3AI4tK9k#VbpI4N?3q!dvH%@b5D~q(U*hx#lFLi^FzG9rNhXdI8N&j z-f5U$85H`;R7MUN$Ozu%Z-w-5F6NNIW)f8SOMfqVaAV(pybyV2h)~@W;&zT0AwE<_ z%$m;!NPQERo7&`ExbSE8Pw;iTzF(xh?IeSpS%wrXcRL!Phg-X8^ALKHr5!8xtRnN^ z|IynVfN}-TbM+cvFM58ap)3b}TFJUB{_X^AL%Of~)ys(5@Qw{(^cXbo3J4xsuqXWo zZf`xZoK1q)bSDP+Ff&)eXZgXW0fNTk_7pDRxjKb&eCX*2S)9Gyvv;ixdWQw5zUh3hU-Ra~f{e7W&WCjFlJ!cQKZ6vRjOk<)B z=acI<4WkbnYX_Cb28V4kYl()7^ou_H^@kdthY@lvWOlppgZlgya(bGMvfH*8o<+KALHk6B*?2vrT2fVmRy0 z$WajD!+qePxQ7o7reI8eEJ&<;fGj_)a6E;x?$E9Y$`b-J5OyW**&WpF9EzC~hLNxx({02dd9&|UvnJSo|M5|m0c27&aTh&v zXogK`ysr*v50G}*KP`%QPR?nTu@nC~2GzpPI)1MVz>*%N04y~CN1n{z==^vn8h?9D zj46#Y@m~Ly&VnqF3(B8gzaNDO)3_U%Zdv5xz$VV4cwH_J_miNLDupXekA~%5Hj@n+ zS&yKTqeL{mNFtsLl7DJ#lm?ed$@^Z`8tJBHxGSDvx<{%S82ODA&Qm0jOO?ic0e|vH z+4{eEVWv3Z!Ni%c5524Og?bb6HKCAPvMzmszMjyX7-+Tl-cNYGv7QS*Q4c|haZmm= zkHgEF>V2w(tz_v}edt-y400xLi1pvGJP`Ez*t2CYk34^HNbgcq7zm8D9l1D_2{9=` z8hW)w0(=BnW#O&Uk$;p8%_-yl}>Ez!wa40e9_!ZMavZHn8zY3Tpq`uML! zH3v#uH*4%q_K~5BMjgJ`85ldixw;{)jtDNkll2r!B?^u0f3u>?;apzO)&PoG!sh5k z$^NC7=<<2>HN_T?@db}srkz9ZTs(3AL*)V3mh+s^rnnB|+)6sjD*{2i>lf>1%q9ex zP}B9S4TBnkN6FV^WEpt*ND1bSfVg|Kj3;KT=nI}cp*I|aV+~Jrhllcr`ZZ7cv!1gg zZLfQW?Y9Xs=gH=mvZ)Qy#HJZ`Sd77PbYkAiFC)-*?Af`KKU(3!yC%o|w}#15zuwZ1 z-BmzW-?XII+)BdVY}E+R%7wPnhSQVW?c}ER&4huz8Zg=FqPEJ|24d`YX+*J$FRsG- z%317Gey{p~-&>&`ZfN#EP;d*m(WIky>uM2+yd|+yV-1ybcGKzkpcVFRHM?Vq#cyI`&3zDNy^wNqnG8 zBeEg$pLRc=B9nl}qy^c8qQRxJR;QguLFSy!b2mD?G0&iB+5GC+hW# z{_Z(3Fvff@pe?wSyxw^%DCTtspVWLF_)+A9MW2=2)299W3p*>;bb!sODF&v-6dO*Pb7e zWgr})Z+AE*jKmZ%cMesLg86>`6A^#Qz`>G%)dJ^CI~)0wcDMMG%+@W>$XETFljRry}#ITUhc@BMF|p zb+>7=2dRZI>0r!O=lRQwP6cFiK1 z534@h=p;#^X_-fUrVNR^V24^sZYNysEQNN3yGQ%@@Tn+t_!Mv1cCuS4gt z%eGB2!kzWpJMvtEQ#U6%lZf(MFAT5{yRe; z(aG|JEwYa+zJBBq=!FdLXRl=p&?En+Fg;2_CIgPihS5*l?;=)mr|%1!d?w9NspCyVpe)<(UXy$LMY5>J5s;1pG0!DiM)3D3f~GGx#GjIyC--$Wu#9Lc;+a{DIeL8AoaDtl z+6c|g@B@B9op9{yv#GL(Oc*PxlNO7qfF{kEz>B@D5O?y}nZ8?(AaDK3M+KW0qBQbr zKJ|D37&{5^U)o$qjC^a(QP~ue@51lQ>zA^~7GE2KTVKz@kLd5>+Gi8Vc6q%_1vrVa*R8GKscTBEd2~R$!dT0;x-sava6-=NNeKDpaz)iNp`N&hrCt#m`axROBlU#^ zJRxkj_-Z(HBk?QU`eJIXiTu|q{D05m95BdESz0otLk{(0g97yCZEVqYPeEOAN-WB_ zhq;5uM6xuFT*Qv|GIFyhs2wu5tVY@8u*$b zkCy^pf5Dym2fBe$WOjL;x`Ct!465Jf#d)|kOYaJ1?P+Ou9n*4a1A3S+^i5A7Eax-p>1z?wup*R|J#g_glVwVXSGcDdlm z`tPU4$)DtaU#rSqam;A0%WpI2#4HE*o6S~lI-u&O(&y(k70|x^M#CIE7Dg^xJ9yRH zi1R+fj#1ls>^`TPDzWz@>_Km+@>%Pk%RflL@|YvxY}|V(ZEAo}Z=&9K8Qn)z)wXEu z;^`to8(-_W{x%V>sbKHdf4bok`xAp3m~ERFEDjApkG+lMP}paJOi#|4>u(eD;m1%P zRc`Yj346@#q?%?+>@)Xk{J7OhrfU74ADbhD(*ILQ9B&?(-ngCuFWL$7Ed6EABekI5 zf0n`FTp7{1#JrhNuZ)CTW^d??%Ldni`7{l|B4R$SdZa}QncsJlVt!iJL7+*I@vdv= zk$9%_S`4oX9zLU5A;)K6SVY@%_YEp={rP)&$VFXB(R1T)WzBR9fXR zvc2|3{@W>52r}K7A{X?NNgZ`b+>ev>q)bRVZ_TZqu;%S~QShMhfAjkIuT?e&wbNCu z{O(oc-iKXuE_+7-jh<2bI>WHE;bbQ?*?N zn=h=9TTSu<8vbr_Dg|+hn0_l+`ECuX;5Afx{w1w^*&yCsPC4niRbc8G=e_o z%MNeU8}+P;PbWXdGdw%)Bj)JS*&gXY5;W5I3Sc{7W2 zJ{jD{pdGC`4o=Jq=T3V$k*&0MBMZ(95E`mOd6w9raeOlIb$&c{md@?^$eLG2-c#Sn z7C_cL_;%fn!kS7 zwT!uOY*&gPe|7y|#okW1BS1U7oYhWd_@42|AsZ%fw?sIlb{n}e_2qu)zgDtOvFAqR zYxGPF?4I=(X@dl>nCISwnPf0m*7)3)LYUPHdVeri5!k~R_#$GuL5h+3kKVx{!p>VH zn`W0s-tIe;_?ckDPNC1hIyP73_LELxIuXYnfmy-vv`aM6=ojc6%}suCz7m;j z2lBRV83roXeBSMXzU1Cv1qvPNFcMgJ<-+HeCE&^z|2!=`9CiX%#qNynP{$w8&!JIE ze$oD-H=2wj({0wzZ1M+)bg=GcMd}IimAvY^jQWi0&Go+>d^6y8{OR`4>RAY`ZMm(3 z9U*g@ySCi^l!;x7Nk?=CvjFxBHQ&vyA|9rehuVEAN!o7-ss#2Dn7T-*M0u!z#Pi9p zJFgTIJ6TajiSHF;;8gb0M*B=~;xGNwqUNqGQz>+k z>`>zlp>q+W)i%BTl2AKwqfVA$Ll0<6k22Gc8TyQv)BM@u%1C=Aubrk~6`8fUeuM2? z1DuuI_P+a6)BmRP$A7Jd|JCCh@bMf{zO{K25)SfA=q?X}tupP3(ftB)s^C&3zef)2 z*ZHh`JgN>9i|&kZ2sc2#XRANI!XR?AR>l+ayW08z`wSKf_R!@GshyM}AE zpm~e4Lv(NmLg$~N3E`AI6!v)7p)eO3*!xsK+OwGlwMa>B7$ zwin(-`CI93>Le|L>v25jM|x-Pb8quvKY*D>QJGpK@nI+#y%dTWEeQ^hGcoxf$NkFm z(7*_>d?{9>^fiP$dqXodCprkBl zsIG?84B`BR)~u(!5E);)vTeLkuY2I5^ruQO87?_I`#6Sk088dkJt%!k?r)OU-pWu2 zlDx7m)qVw#5PQRavsOHu`zV#`soO;M@wQC-<1dF*8Toi~VRr~eyLK^SF$^o}E*QP4 zBGe8qS$uCx^O3=hTzqh+Z%`MzAiefB7(O0{=akPK zG&X!8gt;@-{8trmmN@>eygnZ``n5DP8L%szUa2IDx|&qv#25+wse%TBt5eL_%}RUo zGMrKXjImeYovir9)tuT`<=}gkS@_GnaTHm}JpHJpNB&BD@JVOBps3{db2=67V zk+*u)N}54~vYn%Ru>*cj4RQL?_kc*NOG}Uic1~o-%rd=f1-_uSS3Ftc$Tqu;@hFIc z28j-b@`v9^uMbaZ%8@jf8vJ{}D!T(@Wp`}mxQ}|k!ZxFVGj&kPdZWLNwTg(pnSXg? zxd7ZHO(;B1X8-@RKK^Un%)yPA`O^~1o!A|D>EX*ST|}#-?ksyG>i$!n{1gf8M9Tc3 zenz(gsqqqOJ$H*RvkY+qu=ML1$PZgr+GfADct<9^ym<_r3*Ub2Q5x74KdHxMMPC9P}gn?=! zp>kkjp>s?ImAi?Yd%jP>&2Lv@q?C$qKT|y&D3Aiz#kpAyxW~g=S$}rv^)7O!Q|;te z)G=bryziviG!g4P+!BW~ia|QQBA$VcFhoZzyDND&*S7a$4 zO97F&Sy9bz*+_OxN{$-e9RQ6pFYP^;3gC0mhpJ1cV;tq~JH{720tWu8g0p`s$hK)$ zQT~HZn}$v2d_V^#18X!o*4z#-W5R+-|>5l&#`Od z`nA{Bc6ftUQrs8Oznvs#e&?&2Cfrwg^$jNYwnKO=+m~=5fDL85CcdM5uG54fTBoHL`0FKl2Hi~B`HB92MLn1YL$_z!fMqg8o!f zNNy7SS+>`FW>zE+H#)z+fMA?$V`9HlDK&#d2c7=vJZdC#Q9C1C^}2B=#%1Z3el_yQ zlB0U)2o~~<*EfrX!;rIxS+2Ia4~*%OyQ~S;VP#{9@t*U8xD@7YUe4fwp(DQO8$Ed_ z*LO30$2%fh-g(!ZVwD!WAUCitWoI)k3#Z3FSsa3`+Hv!tbh#kYo5e8hJdW8eIf*fg z1y~&0xXGiG1a;AIPdIOuq3$;ty`NW!eeKwR#d>K%*GR*AuCR=Rwe$U&lCP)Xq}T%% zMWT%hW>xv>aumK7Zj2u=ZbFW5hOtblG0=Foc3jav9wy8V zxVyZsf=@>S?Ltlu0Ef8k#soz@$a6@2+^*OM0&@pf7W$`=6zm&gpBPVMogXwRaTtKv z-ZKd{vY${l;j;L|0>QYLQOheilu0m?)wOk}2Y|uoCy#D1xfBhz)b6yCcZoejAc$= zmSe`zJ^SS~-Lz@0)bBSz;$dd|7A}OGq zBD=@1WE9#{>pb3VG{J|rVcQ%zNknGE?lK1NVTdtE65Ag+g)=FwW*jmk91FXzcde}j zl*h&#Uq$vqw+N0JwIx7yH6QuXAmLH{Xkw*XYXS43SJ&R^MC0Jkwz(H2LwG=RVt9r> z4a(>4q}*mfAZs{HOs|npGd=F2)s<1a5~b;?>pl!056Bg19vDOGLJji?!o$rYah0E? z(-Z1;Jh$=U=?9h=YxnDCbMUC<#quHRG0ZJ$doUY6h_>m^eyRNEf>*ES7u&l!fbKls z>2q~0h?>*wuyp|CcO@l|_Yki1J1U9#i?UVN!@%$a$uaH4P0iLXxl;$ibJ)tfAt>>3BQVQ=889!VS-zyOs)Mi zY-ufAj(t}M`*ivbS8LQk=ic!5di(od{ba&3J)gOCRX7(rTr91I8QP$%RPzc? zU@`vN)Wtvk))g2%)P35LKM-FZSG`=YyB!t{nFyhAB0T*(zMv~MNw5ubD*e~fAv)2i zQ;?s~%cOiW)_&238i(dsC#focdFRS~gM))0D}76)lBE=BM~-O5q)tOwPG9eD<~po1 zIMPVnl>#4`ZDMi_a`CQiwX0BaKW;oxi@8Z|h8+Tjp9TyKz)`PVCaw0Ju;T@TcC&Rb z@UoV)=${&f&QFQ~&qLa=(txct#kddtiZ|8P(GcEqUN~p;whFC}o!>{xMtJqEE4gXX zb)t@NtK<9IqmZE!{@6>c3-rDnecZU5jVG`8-WakUz^WURO1zmQ=xZx?dAz3&%w%5T z7sUZE4OQ>p4b4W^Z*n2)1`U|4^YBUj^F(}Y>J-Eh&%X9 zosy6iVNFNN)dQ|@sTt+{1U-;Y!ZVlDJpSe9-Y3tsd&OG%oD*evL~_+pHSKs zaUE%cL-z%yqL6~P)P@0S$%}J4$C3MBEos%b9z0u${)eRb4JN8tVwu;VLjx@yD^N~)x#YS8HMLJcTuoDoCl9@7xozj&!I0zs0YpI zGDti}eVkSthSJ?=_jFX-*}V(|o3{M*Xq$v*OA*by zt&Py0^xy#Rt4{opJ-x0!=8Fux`|sza3;}~3f6k60BN%reNHFO z6?2UH$r~)&Vniu&xQy_dH8Yo_w?ZzRzuEcs8BnBi&8l#00Jb_8_-*F3p->I|oawqJ zES_KfJEJ`cJLRcq7t*}oq*ld1^FQfj`=j#|UW_2Cmok4DM+}aQdd|yJg#m%9P|@CK z!J7}BN2Z*fMaoivMZ4H6)Ny&kq|}p&@{a>9HOCGCchKE+uI}RAue)XJD2*(U0RxTi^VVX0_PNp4Pi=Uzn!%TiV**ZZ<&BCt)dTCV#SXj)E(7V*4hiEs z?NHZ3CpUVw8b^~--nbE&E-HyJR=hh9Oxyo%p$O@PZ_k%1)@jO7asT0nt9*oa{Z7%& zOCCf9w{_=@loLJ3^U}bPY?cF&)H`zhch*B_Pr;IKeZaqy{o{YG6N$m;Dh9#_VVj{; zZ*55UXy$0Cb} zydeG22f{D*eED67M;A`&s)xJ#*WjV|Yz=>n$DvOu8(_iIT zw3Xe>n@>@X8;RWeFA;hsvx_uiPhJn8ZC&1H?gvchxT?IoxuBEqE_ z(t{h!n%C36kx}(!TdD7>7A!oHNo7vlJH1su33=QYfaUpol~eC(fa=uNWa`asTwZnm z-Q7BhX>Awj=3Ay<|AQNSq>fSaURrzAd1DAK+<6=3SdxpzlYe}w=l*4MxR?_heGCub-SnB;uLX+|0(jIVxE(pBJ*A2OIU)CM8qVQY`Kci=9W$43tmdf#TcPq)mT z^?~0!pP6f86|njgKFs3m0TVHon420iXcse*rmawoDSZvpg&y8;kI7^5k6k97HeFt5 z4^Bjjw)A7ycNc>f1C2kYWC2QlXZT*xQiM**uIix?uJ9}3yHMr&7-So*Pm!OD!B^KU z2|RYhJu5-fs?2o|^U`ZQc{GQRkIdaKMeKLx8A|Y@J1#SL%qQ9@5J`J>}iKkC<#9b<`1ft}ZHHJn?GN3m1Fe;hr= zuw+RkaGs_cZFJsX3kmRwWWCIy7_j5ZAk-mt&mo)29N$bt&e}Mmlg1`PC7Ss zjmUz#yO7dFuvEi_7vGm&nSyvbF7l$l0{&*{4?9luK~GR0-)Q|OKcX3PYnXKw*l#S! z+bz1_{(sg3AM@7H&QX9JMdzg2Bgap(@dCs?m2!HE*YsB!jPN3SHp;XfuLUjw}s_N1T zj7_RjQZtK!M+-YPYE7zVEmE3wy; zLrB|qts<+d3^J)+P!$LC!k#RX4h3q#w9LFtE?e zD%sPA=Yfapqmb;24e)$I^F{yR643wRz3*r=!O~{Ak?LL_4|EN-Lfebd;km=$SvB`s zb>_MCRK11qc>E!_tiz%4M{W$pY33_Bfoc>FC1XeIX4ZKJ`VG`9?26tkqos~sH@zj%aHmMadUJ)`WZI8%&%@peO2PG0 z@C)6pMpQd+Gxi2+F+Mpc@(b4L@K<0-HfEw9m30VcE?=IJ3-hQ3auVh1M|CLy->eS z82+tTPVuuJTYqM-xTW>uS^2<&M!DTEuQ7GPi{>5Lengfk(-F+=UXCov>&9ahA3D`( zdU2nSUpaeGC2H5Pr6_fj;r?b52WOwye`oiP|FX{dnA4Bj zR+PY~tE}tgo*^)ss$}e6&WHY8`DN1c#_%Lp@pDIhD>RpHvpHs(1ev73i-`|o!1v2m zs%9aA_4aA~PltC8m@~QFyUSXSd%51ZSLqTg&Lb|-Y>h;p;BE+yXlOe=sM7J{keCEr z8}%c<$GY&Co8B(dwRYgypDjN-H;E?QKh>TJjN-%d3fD8`JHhrF3+3FAewYxr zgoNvWM_Y*mH|jM5d~a6)H~E|o>je^AJkGY_FFuT&WV`fxn-j2b^Z84LQ@wD+DdoV~ zquuzcP@E@-s|h(D4G0(%7h~|(2Y(}~mVvsfS?u1kUR1j=VEL8MbCf(|P#Iw!#bY^Y zOGn=}Lu=BV91Xi%tiH6(p-QR>qRSrVa+<3Et<9!T5LGysrYZ9{&ydmhg)Qr%1>$o2 zY5*m1-!nL2pc$aqhejI@_6!i`KeLPOnkxiD{*r!V=r!v!*g+i?k#xKkJwGp8G>KOuW8~Bl(7q!2_LEocL-vam%O(z0V)x z(v}!SpVZF3(;-#pndq`bQLYu6&bE2x$Bf{&pkCLV50kO(#2Q^)T@Ks}%}Y7B+K0)# zD%I+>b6`V1?{HpQ6pc#`&d*~1O*yvD(}>4arbLMhF|Q& zIi&7@^~vrYbUr~-$MPxys)j=Nj;S`_L{oSE8z~2<^?cqe|6&S-yXvlnupsu5X&5+; zjbYbEv#KDUF3i~SR#(Sw0wyHhR>^qH;I)bj$GgON-2Z2m;4g`849qd(>C174JDV~N zVzPwqd{3Ur{u?#uUid}!Fl{bo-qnu!n%ac>zqw?MYLby-f~hPuq8&vhWDk9cs0Y~* zDdz6hKH%>+zshbgh6h<*ZA_))VoSa2@SI2k?51hlMOw(i-gMQRxZ^qaF3r4W$LuJ6 zcRP~go7fCHTmFs?j*g*Ojs>qOF~4O?D=yme>;}@D>ol&D>xV7$YM1$f2C;?m_sRQn zWazoVJ>k8r8d)0`>ApT}g%6S}wIf_Lc-P18fbdQ~6tgSd>2BBsk;iV@p3|L1G04#3 zm?q^)dNs@~AG@?+PZcLi9bc<0-mWRtOb47F|Bm3}O>q zvwB3fJNx}yjymBUG?{7G9{P0xW@01zw-021%V`&-n|uTR!S;{;xlY!KJ}FCYBVljA zZwrgPH5lhAd!y-MET{{}dHA!AfmO+ZU~zmK&IW1N8kVL*V!=z(tP4c8(m+e>;58Rm zlz)5bazG~<9bF!|lMn|^n`^g)4M(xXZ*0JnuO4kSbu4xd*F!XCPf0yl#UaGU-n5RefZW^q_A0)btdlD4krap?P%!DpLd4a!c9oX+SRYk}Eqr z4v&B^X>lLvZ!XNF9T;rN?8gVf79H)^hCnP(B9Lq_iZ(AbhpH02A?J>+)k0t`@|>ym zX(N1uPlKM3pX$zl{Z6kE-vj+1LOQGR&S?}Cuct7WP>rF;6y{j%%Yms`4kyyzMmb!p#R=ovDXd;W(6e{sq5x$-FE)W12mAH)A{ zed0f^=l@;LD{wRXj^`V~-&@OX`aySF8zvsGf6g6R0>>M3r=>)r@M`t1<@&i%I9)u( z(oFarOoh1=pw1VKeyiBmx)536$7$b`dy!z9y?!PScO!DkS$&J97=+or46^>0YN9V? zdN+ai|Ldxh>8QA)4!EZ%7W5Ahe2M6niITkSP}pTb^QUwMes5-_o0+!bQcNC?sKN-$ zADCa-bAk-RCY*MLvOQ?7z`8w4f9_T}sGs3}>@bysqAWJX9A-5r|A{G3heTxWlnBtyGn9dep*`qt zCAa{;&861}y`tm}H1jA30%FE!?ylVohgkibPTm@YYqAdpoS7=YDTQi1O1=V0(mD5g z`;S3cq>AQ6hhW@C`Pr;~mC$!f-FWZMJAhYfPDej`QHC3Psy6K%2zKAiow>eD<lSe0lNRlt9Rzo~Ia!}0 zqnMg|q%6Cj6XonxryQRb;w=Auw`GnvD71<2x6y5cx(qJ#WNQb@W`3DVdbtq&X5C(o z@Wpt3dIE*t8*qg4J)^xz0X!D}8J?n0gV#8et<7%40(rao!A7G7Twa>8{>;&boGn9X zk7_eO?Lr7YTie8c@crW->urV5U6htu_K(9m?{7~JZ5zUm>gNXq^5?r^+ z?Ts!zz705kL|}@Ur4oFvC@T3AKA^q1)6bQ}Lcxv9#wn{ajtOe?7eBXj!OXjmOXYD* zV5If3$;7@L8A-1qMHQ>ybDxW01;H^Ae#E#aEL;m}e)#lQ1Xc2R7 zdSls)FL>ffS@9isH0#TUvCHM?bT{L^Zchb1<-E3Oq!Er+esgo!^pfBw#WJO1PzT;G zSR+*gRpFNpF|}&Z-M}prw@2tQk-aUhe#<|#9i_kRzwdgW8TGDsBe{*p5FCi^9-M4P zHm>XsWliJQucH;*#}kR~Pmn8Ci1XtZNjNC*aUtlQO4>8FuMR6}MY5K7x$`b~8FX_ke;E>l5x_6_<8Fq)F zs4o)u_{MAy((&G^pP{YbDDE_1^)@H`-cn)ovDd^Jv8M0vK^pBGcrm`f-09kb$<&v2 ze>gG+~iY-TMI~mkm?b%jZMA=96`~pgdf*DVW>L zY6tcQ@jOo+k@0GY__4K`GURyj;NJHabzmm@VaR7-0SXQznI}utBhR^3pT`#~kdw>6 z{i|vt3bjRd-Ab-NW=9!onx0P3p+5S!*7*b8-nL=7Cf*2Z3a@=lSci~$=Yg}f@4Dgn zWX+0yNIN_#NFO{?*$S-3s@_o~*`b^<<*`RJJ($z}+B}F@KlN&AqsY~QS}h7v5A#U) z#@;sKSq0(ut1{0{3dwvecGoS>$TP5C<1Kl&gpa!7awX%c()`|iN*Ch%yL-lKJYp#tsE3YLdE6RCHGj!;{YQjv@S4P&0Bs%$MF%`?w9ZHN z$z?_6`B9|K-s*jcIN$!`%KFdsyaK-)zG}Cwr@#p(#iZu^VI1k+5w5z?4esZTx7Yrc7+WxPPh6<5SA=pQ< zpadsQYfZ-;C4=tOS<0>_)6kcj%);;{0qngQ-zyQiRn2c9^+}w?D7z4`MZMY@7&7T| z14M>kUZLer@Ma_2?Bglx-6ZDW^)>k?3B9UL?q||p~!D*f28FNG?LinoEape)@sIOR< zavX;TCoY&*MGrw2x2@=@u5mo`na0hYy93=?c$i({S}|Upjc3)g3*$W^+?*6h5UXNo z{w%QtM#Yj$A~bvO?WM5EeT_4~!_j+HY^@Yz25o~Y=_2sU^T;Ga$IGyNUUq`!b~AGL zCAxC?_o9Q&`1KmkMr7q{`=a2 zsUqpV)t5BPXgxu*ohcW_ee|*(%nl<%&ICn-*eK{vE9fnLBw@lSvex$qf@K_>o^YwO z4;E=dvhH`)!ae)qH>@9fVOw!jn?PI=+#kai#!_J*x;5+Ru`{1>6n>hX<*J>NI+8OX?tOTBY+8m7N_CSC3)^h3*+vuuwIVTWw;69@iW z*sz+9+bTE;m$r>xi;PSHK2g88+gEy^;-msQnadtkmjmbMKaWCFOTCP~XA=dHBUy$<1Yrs1JbjnULZTKXL z@yg~@4|eu8z*i!BR0IRI{2};Pj&Xu}mXciYr9+@nMOGDN*2EqakgUMMo)%h;qfXnnptU4*L+9fWT8 zd}R*8gM0g!bcQOihyJ9epLHmdTqVy_)RW=Jcc#LpH9c6Zs{WM~GvNJS%g_WOLvCyF zt2?Qu3H>@MWyO4IgWUy>1EyR*qG<4-#f!mSP*J{+etzj++JFAf>+#>~>k8a1Z+s?4 zUkS|O@rH+Pwc{M!x8>`kUK}^?<1lRP!6&Yqe|PNaM)!xY_H{NDm_nz;6U8+FRHCEd zJHB^<^>D_y^AW9(utnY~_6QkSi+sq6Yzz2_oh6p`-VpdKNiOky^+dHp3VH((2=uVi z|2C0DIP`Yr!u=Nocwatl_QmmDLQhs`;XB<2F=2PK-trMVH!*<&Y&!ZO;SF6*@RvyG5IXsQ%HTl#g9jB5O#A9wbX4%2FI0*@_?XP zJjWCwU1{C~yB>1>?oMoj@clly&1;oNM-%B-ryLANjh|WD-CG2qfbmYb$;;Zg?`o(oUTJlymNv_Mq&Mn|{jM%0Rh& zKGI(+4g}j&le8F`!N}%dljiec;(aAsHc$FN@zrJvg^PVK9(`L)Rg{?1T-^07%xV-B zUO%YbPw3T-#Pwh1+tr7YvW2FNvt3}VS(ST~F9U84Oa(?(HRDLr<(#aEO!%wob>JfX zC`OD`zsP5)#Iq@1NAgq0@Kn>Ka??*usNJheYR}5XG?A{e$3NEKtUdv=XspHP%&gr` zZ(M;%@YgMak+}b4_w)a+bxGV$-ah4cZ8!lMb()S}MiB3Qd(>HXYyf&5pQ|E;wW1QO zKI2ru0Ca7c4Qbt-k51Wc`U9tmfluunV>sUs{7B{Bywfla&mwXK-ZB@0h)Ye^;>9xH z6{KR69F4_tQU0+-uPzJ_vX;~9$$%S)iu<+rmO<;)_wsFo-ib=lbMc2t7d8ueggh#* zCUj*=)@N16QSZbjr7vd-h`GqNEXtTFylz9GtK&EbcPuC0xbK>VpEv$y-;b_k}>oJT~Xco4JY8EDpu>M`xx{hd|^J0RqY)7_E679w-4Ir5BN zITrlnKW=z$9Q-S}{i;}Iz*YIaenWmH#_yEL*OhFBE!%`wgWNlDWW07ufc`MjUtaQA z=^z6`uAiiAQVqdrJo34W&_U9BtFKny?Sk!(*0&WMYQl4lO)utlG~jj-H3we~fAr=a zm>Qd$gkH%T+)bic*d;(_GhvFy^i}>YDZRn}BIm3Br@C1I_TA@R)tU6eB5SZ~!npw$ z-0l6*ttbWk%37i+b^AevZSc&Q6YcOeec_lm(*SN4Oyex;F97OQA3b)NF$i|8wK8Ow zgK!3Z`Q!1ka5ebE_A7aWzcn){Kvk(3Hj2(JE$9_s?61;*e&Ie$YTM0DD?AM$;k{Dp zc0`_o{bwhJ^OIN>S=Gz6uNI!FWIn(6i^yW1J@q~L&Zp`mm3TbP_M0qRT8^nES z`m|`wt@$zR*Wfie7(9&^IPC6}k9UB6^lfQ{A|m6|N}AD1qJ`iE4N=*twV`O`p%&#| zU1)euZ0c}$1Gt~yG&1}=h1YBa%ersHW3Y46eC#cvzbCL`t<{7K?~M#C=?U)9UtJSx z3*uaejA4Niw^BhzMUr;Q4kF7~R*dOGbU6+-c}(9d8AH$7-Y*O?#klZFO2oyo28PNq zNnUj3`1(WIwYpYk@HwD18RAg97Q%>Z~@EE3L_|L`#bwlQ_%*-?5%El34O2$`@K2&Rez)?sJ)Q8r3CjgdP|@5 zA$%jVoP|Fe3W>S>>C(nvGH&V6=%l^Sjkb-CrJb}1e|Y)({QK4fFY#otT_Q2}^W>{F zq&DpV8?&D*Qu_5U;a1Z=Z`_To>;jVg!X3aBDStfIuNH$&)k)?P{{IghBT@$mo!L7V z*WpqR4`lzbH;FN|8|ij@{u_Lx0=@KJ+Jz7q#DAF;j_Y$3fNjq0bNlXA!2(IQyZu)k ze3N-_UD9m~1Dt=F3O;Ee<}z{8zCP-pL6fORdCv#8-6<0xF^+-yq=!ZM^Jd_%vw3KC zg#_OOlue%SCc*U!4TouelR#Eaqajr%6WEmWZ+|wU8 zadC0Z5d1RAcQaZ^80K?Fu_>t&6XCG^J0W<%uw;XnNd4%?qB!pWSK&b z^ZKtmt_|S6M-N_7^-aK^3qmJq+H}B}_Dr`UCBd0L!z%0OJBmM?O(>^Zn?fL_}QjMBtHbqSyMD*sn%9`k1C+V8_P z-a^9P$0HP2e}~~dTN62EheeP!EwTE|KY|TbBU6d*dcddEk$qUH3!?M=AN^!o0K>j* zAESvrIMsQIA4!?oXgtzSu|qr!Ym_&7?#h>A^v5FcOQjiT-y!;O2jd{>Sr*pOCH251 zJXs% zqJac$Hbc&75m`|2m5s+Pl(_Hte||Q&We9(WG0h#F|M%h_{Ks|rZ~aX4yN@k|?TV_MnpbVx!j4VDu6 zwnkv4I8y5o<}&ZEF~vVu}h6285b7j$S#BgO^XyM9cU;MhMN z-Z;?I4vq0+aab^f*Ir6zvc0Z>SD~|`Ulg0LHN$0cBqalPeGDJy$>_zStc<#z&%1Ho zi_>0bH3?s_UzLg3Y9_p&yYlRrE}?tn(sq)`s6%__ux9wZ05#LoJG+twz<;}as8&M+ z_?}Qoa$q7jxxzP|OPu?JhMtK}?|9atZl@q;TIe(uZ1H=uKRPx0TExStWa$>HQqg3aWTQBeV$72H|3}d!vzf3&rvGv#?3!5hb2eh<*HR zC-7i05Ntj(aSDVl+n(}0>a|6gtOw2g=Lx?7<5T4Z+9A-gFGHROgdZ$nK!&?06L+mO zUr4YU0M=I>F8$Jo@K8Y(ksCWzR#Y#b?pZGPg*C)iq&8u z=U${XF@&8`7C}NoofsHFBfY+39)Ft--)!wDgeKCu-l?5M_%iCod9C#+Md&|FOYbagEyM=!?ca@I zn2{#>I8~q*jb)3I^gW2|UpiH58v_ztKR@;02hj(Ny%jK?Ma)sdcrrDZtEcg-(0YOu zF@Jfv{oW$aiy>?`>OWkXPULO8XtxmH93=Y5yT)syNf`OEx|ff(2z&1DxfOCJ0z13mt| z`=kDsi}zpgn=7z+KYJ?eNjy~K-r#2@@-DnM1>>Cdx4~Mj(&#US61021V`YlS4WTQ0 zun0rhhXG%JF1kN5Rj5 zQm{Um=p4Ae2RYbCRz?=>_!ZEdpmB@xx7Nv8u*-;{f493I1pCjpb{OYld0x;B zFQ;-attQ9CDU6{{O4l#GYqQX5(U#V{GYsP?Eb88vG~(gGFQq)YClEfDf>d8 z6>YZia^RPGWOWb{5|*n#4hsH5ySPV)d1!x%MpZi+?ot1Q5Brf6OIEnqT8EXzf?VA{ z&Ebb%-QR|N{n$4wl_b#F4o2@qg%}7u=D*@1`%mzzR)8`!arC$K9Ck}MOPA-BqeV;m zq0n%GJJ0qxEy}hXQf0Om@0zFt)~;VI+zTCWTwmQ@>~J(*w29Hawlf!-baa2{7M0@T zm6N%R5zRoaAJfQ9ISTY)TIxvfiIe7K_q)CBfcsly^5{?H!!;GVQ@aJn;b!3G`Zu;t zIGyk&;>=P982IU{XAym{$+11mo<#nW-_8$`66eN%+lOA9_TxBad_C;QakLORrDD%x>2S7J0Ne?gwP7{Acou`~Ecbb<4SodFLe*Q0Ankx{v z%1ys!+KA^K2)g$36Mc?1^f3=;TTrcKw{eBw6b#2ye&N;c!L6>6ViC>*Anhrcl^fbg zoNG3QJaVHzZ=KPk=U6(PIq>mu*~BQm(Y^0*q-zM-RgRDJ9?3)2tt_-IbQQS6K03f+ z_cR`q&8m+gbQST(7>4_or?B9ba7v~p8LzqJo@9JHioqe?5es7d*cmk9PA9YgL3^a! z#-xZGU>dTI?i1$eBnieM-IaU>*oh|Kf{Ov`5(~mQneC&F0R`ZPALDz9Ou=}^L;&*~GP|nIGelr&DlajMf zW>v%LP-8tkxf=DnbFXAGPoSvWyU|0^jmY=(!t)=IL>|W7s3WfqWMI6#)nDe+ZXhD4 z1Sozr;nzXa+pzcvErocKlPsK||I4}-e|7_0X6k7uR;`3_2_ETCuVVc4XRF{}rLzCt zKmLD}4v`b2NG%pFO>l6p#;kWN5P28{$Iid}M20&bMdbUNIx*dSm)zo;CGg1Wxa+fn zgu|@vvo2TCQM38oF5ATxFgmgO<%r!7#^2v^2I%`R{T7prV_OrjK6j^j7Zrhxy$myZ z)W%`1bNC(CpLCchP4U(M2e?ZAZJz-#=Lo;Jd5SJ<9L*~1ioRQ9!*6oq-eF&YGyK3u zG(Nc#mg@>A&ub8U+$GuQT-_1a-AGQMI$Qu%QeV`Jib+rtT>kySsI}WTvrKuJ&{mkslCvnu^>%(Fgv!uI_)KPyvmUk}b6~{g@eGIvz@@ z0}o10*HiU_F#k@=Ns6}}1)Th^tOyjtT9Lu@LI9yhZa=Hsk<^X+Pcy!kOcDBjK1SQ@ z3&YqZ#RR=cx}b3TOS|*KL1gx6O>KW(jD~ZC2mYvb;`uV#w7J+4?5B;|cB#P)4E^z1gr55U z*Yf!9AO1f-ffaZ?t!;0KoA+vbJCU2T-0bK@_-)&6YKMQ!g*4Hz zBbQH&Lb+vq!fIM7Mod1{vW=<&g(tcND`z^e!M*T~K9SeJRVcmpEzKa3eqaBvFT4h} zhFv`zW0a1*gS3k*2OB`bMnK-oBnB6bJnl`h>4We!&r45;yf#Zl&e`*lQz+II!E{fi z4+E9aV_CWuD;ep2KiJHG30v#X+1@t1dSO+Dnx4qtZar^hEz*JtTz=8lzL&#$YfazK zaDp>88`NAJ6pxqu#h~HtQrciW7Q;4p&3)$m!P7%EGPSfF2YmLyx6JDdHRDcn54i|1&&7p*z*=>q-BF9FoH(Ile$SZaG z)zuMSi&0P6i%u}NLM&fJM6t;*;ZuAd;5$pqLj<*=%rwVfN%>=EYj!QR;JN2#JxcK4 z$=BhJ1gGKdj|b{ZW)qMVbCAn&rW+)zKWr88t;bhl&V!bsL~d=&jDy2}U=Y*;_OPU3puy z3n@u(;hW6O-#a>?XUhqJ`N15pHYoAc{Ot?;Yt`!+1h*x^Cfd1Kp$Oy$uF1uDR)U}c zXF`^26{zvLtZsVbL3`8{$2ejhQr$Rnr{i)79>@K?xn5&9E%=ZooVpJEO3Dm1RRXtC?(JL?`~cnUQzC_DGm%r;P~jR?H564{5m%KbIJ^!=M84Oj zVQr^CXLxWkd_TC|=&^qfrthNYBR|i;-aR>WKdAEmyTAJ{TOj{qKPj%;-?r1I6Sd>} zN4$;>Lk$PbZHLM#eD>g_L$FZ~z7TEe#i<&Mu>qvp7s{P?7qZ zj@R!|hR(d7f|6sm=z^^(aM4xU?7{dbbj*Ld{q=YY{K*TqcJmtt_h9l-4W-XW8>#g* ze}W7fdP`SWwTq#}HR8}=ib2$uuW8AA)sC5h>p7zDqfv3!_|1oeuVtEPLn$=A19%_# zNG=2rdU18m)Ht_#lwUe2A@1A;ukMC9C+iS7j`3}2`nSk9mbENa9P$}T-i1W!WH(^I z!Luh+GxIRuTFZ^$J7gHKy!ChgZz4abo0lZ%(1}YNud|HTiTqy4-2o+TwOA&c)W%BO zYqBAkQ=o+ehjPQeJE)V9O_%rG!o~#Dh|ZN2T+hau>&2>a?v*$-C2g+PS%A7+Do=0h zDZ_0jw^n~P55_vVZPOLIa4*I1vr&&pG+Lc#D{iO(|2dh4{EcBW?usv6;A%v_rsrmb z;?>|IeS{;BxU~FlSswrWrvIZ(Qm9ACx&jlJn_BB}m#qu9uKp_iz%)kmN5(E{{3hY* z%%3*eC=$Vyl?-Q98vy+W>yz;lL;>*V=XxXHmEZ7VW~f3tpsG?EcMe7pLEeqRsRAF!NR zXbl4SuM+n<0*QJ1jY5$t%H1%Sd+GNiYX>eJEasl&%fv9_8M$k;lX#i#!t&g2!iOvp z7aYV(}Cgs za#np{ZLWdR+e#O`U#DUyb(92eb0=uh2MoC^_uxDWyG4(SFY3y4%SXM7#Vs#R7+HI@ zgM!D!a4ymi+}vs^y23qxA-hx_ZEBIxD0!BW-J}D~*Or(Uy&*V0a?PBMu5Dnz5Nug( zwnXSpo=q{{UIGJIBiTIxdf+v8RENdT7BY(J+gzvH(RtUe?LRM1A$@T1UBAR^!q;n- zl*%-Txmo*Vwsv`d+@o>w>8-W+S#zPAn()8r2C25+-9_+6|NHA-;S*Sar^n!(jX~H6XHmQ zN`n;5Ar%@CQ3)ABVwvZ8o~Oq=ea)X*-@YoPZL)|_4CmiP-r(3D z1hbxP?vynz!2A+l2PKo|_&|PkiOk$0ylej?+6+rkx4E&(=XEPW$D1}2wRUV!94h!| zUJ*7P|feBNPPwT;CY(9uBntEu@p*&nLca8CL zzaZFA61{(Xn#?i&N5F;%j zJ(?1zEB?0dt^QDxipPw^6a={%;c>y@Ej!L2$e!=mxMqF<8g{&V`@+2dXStnRK2*E9ET}q0SSL*|AMN z%dG|0H5>`vPJJJKvio7n%&s_?|C)D=KJ{F2$LC3>I5}gm=F93?Gx(Fx({)eOIF%Eq zd-v4Q7V3H7Jr>??Rz~DPLP)YB=gBmj8^7Rk@QHT3b=GIUSVax!aW2~`Ay5TArg?V%{6uLZFg{8mKe$S9TMe8wIPZ0IAoWFpE6|Uxs1YMovJOiz%V8fs zqe{^y1~>8YIw&aR!(u13WP3&q&N|Y(qi{(jUfH6#!BX`F4jx%KzR)!RPM;X=k?>Oz z9K9Csls78@j%^xWn>Q>O%K~4#Hq*Hcdv_{~x=Ee4Z8MYEC?wd1i&r0%Hr<{D54%gf z11yW+tm?!wgN|h4VI}vx=@mE7iife8W8i5>F?;iMtyuvEweo5?J+H?&AKQ{AIVm7N z>$UIcsaaUZv8CGaQ!Va!dBxbTvJH<;nWC}nT@1|Uld2iBDIeE2cIBFHtOUzF;UkS| z>fpu@74xQ?hhTl-t@@)Q)bm{9?Uh1?P|s-@8%ZWnzbh4;h_urgodAh%Z{2O%oQsAI zUs9i$7h#yfW&iQ>b3n~@bng{so1!;SQ1LvrSGWK!pvB@WlP zK<&;{v??xHmJd4Zf?{>5)%aCEO~|i=I#031vP?iNAF`*;dGQO(qh0Z+#l z!@dY+}L3C`enuRtR{4QArY~rAeXxTecE`#)Ebl(<1qunY_OfeC!;tcAAKjh_Z~?-zq)8m zAg54sAk^`vwPacaK~2{2GoK(1tk2GUK4}H@dsJ4Z=P_!X+kN=`L(`~p<~3idZyL-) zy&gvdd=940VH0q6ID06z7?x{^?XGLdg6jb%dehO(hxMbegww#r9SXgB9 zW;peHh@V1IW{GGX&UM-1_=S4>a&2pyVnkde-da9aWa9n;h$%Xr^yKti+$^?R&POL5 zOupXUxmKnfnETZ~X!+E@08TaYkaJl`Jt45-#lc*h8$Eb%_)7+gjj}CVNS*7l_t>o3 z%gknwvU|14qdOXGZb_E5Yf-=J<%o20WLM+z45y749F0v6A^p0V)4_IuPm@E7&dt{1i;b6#0(nu0%QzcG2qP3;G{ zWFJ1WDF#G=*T;Rse2mjcq&JAQu|v&w4M$QOvDV891+bmB{)qz zNXD5v0;e8X*c~m=jMfLb1d%%LsQ7xsx}5`_gQw@=GXabSoa0hkrZA}leS%Kb%LDa1 z;N_iL2U*m^F5469n+u9@meJxo-8nwRFGsc~w- z{&$5icITqc96OpI^To59t;M-mo?|-8-!1?Hh5U9dTa}A^JG1kZKGvZFbK=#gz;tYG zcq8BVu@p|Kg^vhZUXF`Bl-3Tmc#bEBM(!MUu^OuE+_`1*voYgM#F$K}B8+Ttd=!*e zf}QumI0mKVQ0s=in@3Z>yZ_Ti=HILROpxo!IhT}JjTXlx26=L1!zsVKp_`mS;pA#d z=I*Cy_$JtB=`G%uP`@$B0xsm>eCfkhHWE1yAyA=LZ|;JL#bS|R4Rs*ND<~3?Q3`fx z>y5lFwZILj^&!iSRKWhzYW$y~lTguXUm@SyV6a!+!f=@$08huMd^nQ9K-pE3N?rBa z@X5ukavwWAVGk~jI_VgV&3PL`GcL!#huJ~{=I|9m{QI+`6|WXRt%qW$_k?^XTPb&4 zDYXuE#2n2E@##P#WB>8N^U5K{=cfgm5#)rRdV#RBz&o6TXW)gGg`e+ zuuDm918=)Yk;e10!C+hZt{~BH^lgolHS^8@@DSK`tHB#?RJ~cHf4&XY7p3ZKJ9rD* zwt57f4@yMWQ{g_3uhoFzytd3@Sm9bjhMPOtI)|O5d+h`hn-Za zq3+`myt$go4UVKbxDWV9-CL>7Jy`Wn0py>*5;9@p3v|A93#HFTg7ZP)yOZMD!1Ugw zp=Uhn@$6{zho#iLgEDoZP2vZNfv;Tu)=$)P0DoMc_FMYnGr)v}d@l3z3d1ns=jxoT zho53}?Dd~ln#ZEe&N*jg*M#C;-4pIdFXlkqX#VT>^P<5i)-~F=suG{PySvukHU=u5 zs5fMD&@qvirem#*S zv>ou=`V{q?1=p&q#MvA3Ky~QPBcm@Aqvm$^;K!>P;N)$U(;MIA!B9i*Q8rpF5Sa7q z=$bdhkUmy(+Rj^57<@|8c!+reXezbnIvq%c&h<0r?47~D9VfK>0;$hoozb<2E*wh% zljh)*7&8WFJ=1nHI$RBx2Y9V1(@Q|l8GH7xiOWarxUp{AsC`b{6PMi|YV8d+rFB)} ztMVXOW4J{lb#I(+?D)wWsr!%z512Y%B_t0jIObSSr}poAp4Zs?vZ5O6&okCKK1+s4 zs{`j-?a#qe5%)Svx^qz2^xd6+hDKQMpmoEMW*_`4+x`0Z`U;S^Is3x|+bH0eefsK| z?!5l_@y8G9KfxjsEHuZvdc@}9i9@ezs|QlgQIv^~_*@o*(G}*Sx3s6ipm@vA8$zyO z?6RMZ1v}Tm+Z&5KR@KJ9fn(#^qT{L8RrxbXkU^%f_dpsp^?UN2uo*Tnl4O@&?4<>VtCzq=XgW`@J*Q z9HsVcMSgagz5G-SI3!zkZFhF>|NikOjOIVjBoiKwP=A!F8w(e!97UGQOGkH^rD~6I z1910#BmOm9QSh^dhR#lb1~9afQ|?MG!@F-j3|qUb2@|rdCQAynp#+CPU9M{^3~7{M z>>PRp>W^-lv*vC)oS)=waA-<1I=v6@|4N--$eB55@4|O^=+Y);)yxwEKC4SWc}x=W z3P{}gU{(Q+BIn+vyiUgYq$Z#CjsT3w_PpObwH}pDeX`NCD!|(+$~R}ZFmMWUK+N-r zx4_`uWNxdBRJeNZDdz_JR2;cR##}Eu28LvJdDujzq2`2XhOj;lGWNE*yNZWk!j0Ay zmoytt$gt)>!|iCCm2&!~VSXCSUc8iR?Ymrf!sFewV|pS++%G=4Ze=-oy?dWANh1#; z%w~)+uPFi1M5RkQw(*$uP&m1gKL`iAO&<5*a2TAJ6EN}9h-}n%rgnHA7-u%JA{}1IuYoHi@sP{g9Kio71Mhw|c{9G7y8q#d|B^SOvZ11= zyz}X+QV0@e79(|TPHIWoxhu}aV31>XT(Xtg_hNQrtJJDu9P>PI?wYul@Uk($Mt(va zbq>-jlT~t!nCE;nL!3GWAvW3mhld;ofwDbn$NYK0cvGlfJ z4t(i)JE?GQJ{o#3#0^q6!RS2iiLybd@OiYEez!y%j@fK?cHEKY@c5kL;|)`q!EXGD zq?5JUI7~n;z_Q#84=L;}SiYzlr*kAk?)X{(+pi{XGai@?)JFSysXR{zo@ARm z`%hJAZMlgvHb0X8TvdTilN9&@)|Q~(*Gly~)pS_sGk?Fuu5^sMBmCeCbq~9O_QW(9 zxhC|PWay;PaT=Rnzq!jR^1tQ&!M|Xr{jYYxgfnhGK&=Fc6K4me;u#07@NHvT zA;{S1%~?$^_(_r1nfncOuKZ@M;DlNA$k_RX;UQmy&GXHtcO0)k3wxD&B1W0;`r7h# zQ@;%S6j}e^qFEG-)xYQ^tzCxeU!EDUEI1vF3vN!Ytg8W?B@1qy(JFzEY*R%!>R#-; z!%wt&#w9@262-Vq5e8`Tx-XtJwFpI?4nHX3 zn*_$)Gp~jWb3nZIL27VZ9j=7XSaA^&Y8MwO?4xiY?SSU~fPKIW#ohzvO8zqH#52U_8U4gWwIajOk z(dRP%FzVjQD6PWvJf+tA_BMjG zkLBnX>ba>8y33SfseKwCB58d!fq`aj(yvFvB;(^bnOkS`CBXxMR*P#Z8^J?m^t+Y! zYoKeCo8G&`1gx>y;+Ef8gS&1jcc)oYf?Mr$_j|XmA=i1SAq%MYuR!NLN{Q6EVKJk@ zdW={tB%HhDxcFu^=&L{cnr2#o2hwzKMUw+~Pq?VLmb$0AI%A1p+T=J$vyxhJa?@kb znjzy@xs7^0(XYEeVtpyKzcKmp{FYa+o1xft=nHj^YX86ggBf7L&5zCk{86Q_GQ?4N z{LovtC&}Za#lt{cI4vM+a&RGjzSTBt*g*z$&rJ3JA&FFocW)e8eeNV2IJ#%aJ?cKr z+BsrA%0V@7MB$EBsZ0*_+{LZ6X)}Uw);guzmIGfw-o_~kn$F+u9cVsw?HHny%Cq;g z_oiU9#36y$?hI7RI2YfP9*DE_O};u+B;&TDwnZ7c(;=N{)u82Afx+hn{q%}DKXQ}M z%I3puFL0{XzT|`@X`p)k&~9(9dLOg2TRHD#LH2LfzhQgW=0_!68u2KymLGaC|gbCjsjUmlp0)YOnn^hrbx`^A zg8A++Qnty7@wplwhs#)6J`RM}b_P?zE2?l&;xwB#TqW>w%>k1O0@VJ9GfHlwE2;ab za+}A0@XtVjF?$}*qJA%{xbOCMfLJti1URUS;);XMiwagu3$6xjhU87JYxywjSy0J- ziyFu})+n*@RyHgfR-B-IJ{b>}1TC$&-+tsr&6?KXFZSD8}%yo7M=mcVOFz z%hh8BMF79>>*B!jAW#TCAT`Fl2Br(>Yu>)l0#SLhbQQyS7Ic!08dfkDE@#L&U~S z*_J7>`1Z6&tntVG^L_p`mi{mQ#e`1IdCMIVsdKI*c5GlwjE0ey-K}^&7en~5qz_9r zxj@pSp{r|)AL4R5{V-$d{=o?vpP!{I$VR_-7e=674311ZBkeY*4n{hiUpkH2Pv6wy z-<41OeznzPXM1%#b#BkLsqdtQM4+!gD-OQ zU85J&;_k0|mMfnt#bLG9u^(dUV0*Q}ZqG6|`0ze&lFp_y5J`8Q&J^*2S%<%VNShyq z!j~;qeqvD1QP!PsH8xF$&X4Od_%o^V<9>b_v6*ifR>`2PW=t&(NIrNpjk>4%y02&G zZMjl>KQ3ry6W;^aSUCT~mbd-;KmISzir#Hwf?;?-$1|z(xaw=r>IT(3V19hb^&qDX zvJ;j3q_Pu0bA~j}t}RF8+(C5lk_r< z$DXL>DX;YTS{Bi*=jSL(@b0O~hKV0%n{n4v!y%crvXp!)yn21P=cFm2P#LlBiuZs>ymNAqes@_l zeiGTUNs)Sv(wh7HypcIc;JerC(X4qk@GgAzqalxr;l|-5%iM|@VD;JH#sJC9%By7*L#r##Z$F3vV*fwn7Jt|@`M4J9t*W&$```QDCWfDGjj0;!!XEg&@&Wf z7)ezIdZWDMCDcyrKfk^A82Tr0m@wCTPxVOaJd|^foHx~~3BzincG>VE#N1fE?BUBO z^tyRjWfeblUXRlL*H0(bU{Rb(cfXRm0+n*(l1-Wd~spEUIMEqP9z2W_Z2RAW*j46hd+ZG9jX zYV?nsljbW&%gH}Y7nPyzcjmfaenYkf(#K0^PUNKadA0M&J+qF6!7GCnE^vzm#a71% z4Us5}J`insXGJ+Y7g#a!NLvER)f%1+eO8V$yA)OipG-ubna*+-a#CUOfrK1C#~1MF zmyz;hM2H@Cg+cg{PN}%=0v~!BodR%T=mtDDP zJ#5e3o};rb9$e2v8ogamhu*_&-5&1BM>|!^Vl{zm9M)-P89O!z-XCaFJ)%+wgN#bU zUabj2=2+7aw?7o)j{G6>tp>JW{q=zN*JN(unL&b*xpOkW@U_FZMB@%j9`mqZfP5;h zg({4n2Y>UG=*Q!_KQlGypcHFusn)nQ&B-Vb=n^uG4zIgav z%&!M!t;+|)7ctP6Ic#qtenE*y3D#7-p$Nc5_rSP&_^@|Bd z4U|kgIYm>jhB|kC>U*`tS@1!zQs9fb4m$086guvrGgLKXu3tgzU%G5RY;fMbdsrXF z|6-3t1O^Qle5B<~G;r$hlEneMdtEp_b$JAi9eH?l*UES}nEz=~^w%Wt_boWO zF2(`%-fqpCKGBythiFlXb&4bK=|ptY2)4ozZhwnoBMXtY_+f~#WFcPl7_cGRJOR2F zEZQL`9@_u@@lToteYTZ)4swm`hVxtMa5ZP`bq%#txcDi!DInnmeoZb(Z(Q4shB?hw z2j^$Ox#ejgiNUWRe8)%i`S${;`+<+W@sf3f&8O8~NiHbFhNby2%Hzu5qNzjs+?7Q* zUFyyxmt6ta$mRHcMFq8QN?aheO3e?0=Op=c2O{oVUuyX&l!5bZY!~MU@`vkpo4L$m z?&0vv#eS0)7vjdFuf0C(%!L4%5xLLPThU%=_IrcH@vznCwD9wv!%@7seWSly2l(g> zdG)}p7$yl@418#J0ZeaN4jRQMgBhl6qdmlHao;?}@XS^Oo9EVzd2g!WSVeT>PW57( zm-fnMRGJ5#XyH=ya<_qEsgLKiR=w<91b`1LQ$VX_cEQgHeOJ#(-UEp@zI{bRJ21H-S-k7fBf@-(R=0?v*0@JfkC%qjL zg9j6CxYQ251Bo|O%eMs-fV5R>(+=u;PqpU+wR;^5IHI;l1%eXcl<@q3Pgi`=t+e68 zjD5wp^rqdQ(~Er3sxY+`cpt&TrU;Es)cuBIB$7%ET;f3P!nrY$)V|(XRTJX*m*rv3 zUEMmT5e1Olw9hePTrvu(Z#^?wE}lAnPU6J8=gIx^=qqK`UW!~qN#%Q>wf9_+cVPO*Po zfHjFR9`oKZV7TjR^E9ar7#-^ox^4%xj=$rs*uGT>ST%g&rlVtX;N81epM#A_;2=^U z$~B-7Jsdwxh>p+4mt}hpJ(J||d6pbLtt47rFj6Xnbn`_3HWZ*s-VgSwyy=TYN5m>N_ki|&V0#-xrNx-9hV(uT8OVWCdF+yk3YEVx>|TSzWOrdu`G4}sLX`u2E-Bu9Wd}^9WObzVgNf(JSZUVtrn?&aMWbi@Vua)!ialFIMiBr#%VT!%r znK=bH;QnMy)OO7RV8lgj{K$D1wOT$F%D30!TF#Dv7h6+7dgy~~O7pXEK&Uo{DKj5c z>O#|9iu%vL`mH0RU;bMLm|#BgX-af;1~gv~s2ix&4$2PiLXJO(#OQfb!_&eO@qRJ) zyYZrNAb-&BaZY0a7+h$Ux-i)Zz9voeUg{PHzT7WYPFR-@>gTf62MAY#0Va&e(%2v2 zmx<%6Cysr1z7X~&JBv!!C&7q&RZiN?rEub9B~u;ZL3Y!~l_qkv7}p&n=e)iUzc_sq zy%@rPf!Rk?R(Drm+1u@WoP~FgZ?@XC&a6vtkLzGcmQ@`t9L%vaZdDytpDJsaPMyc~ zrD~UfT~;oHSGMGD6+;Z>;JjuV-3)nCorYVDi2`-Gq?HNYQ6M1y)5b@>@i4|}y%}G4 z1ngforBhiW1Lk?w)SMof3G$s+jJK|-ggjZ1pC=mRLUs4vv|T>O@Myc^f)KA;Xj`P( zlz%#~)>RJCXo8%rBjhAasrydU@A_|~?icNvQ)n?dt^?m3l4~srO+@AhO;4#)Ef9L9 zR?J7S8WltyMowQ>i9;jwR+g5OQTN!aTfOdODhyL zGPtX}pD|k22bGFMHqDkw#$B1)txQXNLB{i^)UKk-n0vfyd-jV)Y?M01>uOsA(v9X< zU5f*dpWkqW@q1TTpqQe5tS%9In%MtGe+K^R3@~B6M)5Y?<^ou}#HvH(U>kMryxK<@ z{tl=eu=(+>+!&Bh+V|dxS|6EQWBpWwIv*%p`KE}6cr&ijK7GUMWIgbV3)(kG^C7+p z_7SYf@Wvq-D{>ckGGK(BS7=dn1zbAYJX7XM6invSUc3HqChSrSvw6~-29c5b<`4ZE zi^_%L7K`$g@Eg|7bnwg2^y=r`~y8DPRH%W@;p!PVfc5V3i2 zb3QiXy07DQH{lo;=O+UeQ|ou}BY5sIicrV6T`lu;4vx>)+@W{B3`hGPaK7tOgXt$V z1TD3mz$S_3cGpyrLHoJWvpP|3Ebfc7VIFDuV(f_1uRxIUyBihZ};&@XC+8lx36 zs0UooY44;R3e-7VSEa{pl^R%u+WcM@uI1%`xap)SQHNKceR(Ut{HI)acXiFjDcc$N zLZ`W1>?QSk8K>))z(dv8>1%o_VOAx22gkXOJerA0a*+~x(-`QYc1(Txwlb*Bl`T2h z5{>%VHhdPxV{p;jQR}Zz`hQd=`t9^*fPDs-pwN1Elcs+woDlwrvAZn-PK94Ntfe1@ zColO(kA7W(2KDixAGpfkwPi^C*85;YHkBwnjN%twtF$Ytxx4170?7C^5eIv zP4j|kyWm5{`gNdUGB2~W>j`w7J(MT7>@+5)o0x9*rM?G^%~#%DSOuDU9+=s>HDPfO zbxuB}gW}Rlvy8qJL5pNCeC)odG5!yq{5=k<*4c54)C1p38&r0^GcNX0~8r=~f#Jp#o4DSJfV6nvUo8 zxoTv#rQnErH@74^H$wdAdg1gX8?p4s2cuoozWJwyl6RV~F~DL{g^A$BDimzq^2$yy zA2i={j_1-%gzCgc`C8U-a3E#&(9?%=AaLcwpHzY>@zO|xjE2;D%wBubQ&m0@7VR+; z+nrqwp{F2s*yk6(xm2}#>Xah1oB5#2)3K`m`}rR|1p4j$Kn9qwpk=*c)08@VeO|}u zMtcY3X`kOA9-jm+f-Kh>9xVj*G4+oNq@%!hxcCu8`5GK$dFyB2C%G^!ZoN5={0VFm zOX-{vl>v@dua)LbN&!a2=jZxg3(!*H@aJnvC79uC7+W3SiI=v`4OpRe6vXOgXN1jp z4ty_Go^CR11>5i?rX3C^apZ`O$)nwp@Qdzw;q=Z&Q0|;n&@r_M9@I*CcDwX{zWRaA z>=*gdGQfmZwR=NssC^}C2VJgOv%em$E^jqaskgweF#df}2GQ`@J@CyTuNpYottRJp zAOz=tV93tIT+EoX zaNB`*3D6K!8Yp`u6Zy_|^Tu}v5dc-VjUpdz^OIzBD=ND8*_hYPyMCE$k2vr-jpeqiO97BQ4J z0-m}Gx=O2+!cR&u2Ylu}#&OF<<*v)+VMXEb+u8g%7~Z^Ccq(;2d`OE`X4a)-aMHga zIm9ComQHuu!ZqSm|L3b8@5Fw|KRpA~{qdeVhj6be1m&mWrToV_yQOS*{Nig(uWm4MHJTxlM4pJQW7?w_!y)$XsW2_JKyeO=dh7q;< zHzmrXqus%Eb2c9>hp&yYU#88qhmm9KFGTQA&v&icB()?z7%BoBW1R2SLhgpNHwAUM z{qy6ucV557UzPzTwEf&5dG%})u5WjGC}qLG%rk>**9F$%l(h@xm~YB)=d4o2lI#W; zVHjM$Z$lAGAA6q3yPUdzbMyEE<_*c{wIr7Fm{uOxEVvNE-*pqz_@-liO*Ib8 zv>H|B^32?CR}9^TCC75FDs4)@4~mvuBn+|lH4NR#@~#A??nsZpR}XP#|7dA zMI~r|tj4}uy%16kI?U&8dJZAx?^mC=QG+L*9dxrCmk+1UVMMq0Mu79@e8hHC;wroY*zr)A5$EiknJ?K-sQxJE@o(v?vGsSDb0W6S`fF z7pgSFgXP*m=kC|S;0BwIz7du1V%*2*<-6)|`8A23Z}0Jh>ucr+T-a6zho;Zq?c}}z zOJCU)RU|U68JpeLDM6msa>JbSPT)*5*10e!1^o`4QaYwujz2&7`pKAj-tl5k>c)zy zLNJ&5$tj~C5zP$`dRcUrpsgO$r*dK<7O2GSIP2L8|8=PS2KqDbKb8R|s9v3WENx#s zEPi{|XYa)h+;%ztVhv9oXuMUc5xQ9e@1ylUw{K}dg>|}eC91`scCUHqtI9lF5+o3= zIFh=*)P2?^1?qki(YC;6Ue-~-Kk3CNg&|e&fq$cR@XVtA`SCy2xBZU)xC}5MOFT?L z8f$Rqtid}r`s4wxf{k32M?BE_Z@>x3ejHS>Ztu%@fgr# zBanEm8P#uy%g4@3gW_rKB~v^~anx!Ni8ikG{`v98byB~j|M3hkLGAr;&it$nTowAU zRzs`<-4~`GX?pq)Pi*C}QuM0Edv_o~fGZeM%yVpf9O6)@tXbPiyA`@WDJ+AaK#;b% zsAMs`5ch=Fi%j#3=>PulKi;SP0sQe9p!UZf5tY!M`WP27D}&~1q{F8X2bO8BNrYxo z`#o`*3|xAked2bTa(MEHKl+|=4pcl?J!j3dWSE)}->K3agYpeRd~fYy`sc?V-#Psj z|27$50=Ma?4Y`qpa5z1AmCJ@)SU9-LaPs;N5T5pveJgJh?)>1ZQ!%9-*JQ68Y$a2M z^Q9_BOfPH#8>_ve?phV~&yT-NU-k#`=VgEiSH2Fa)#9y##Vf8}ysQ@hC&Q#SYO5txCdVgU38TiXGK<)cYRlTsK@DzTz zVJ}oBQ2^H-*PV2hZt0&Ne_0>&JNo-)fC=uI!B4(+TkVGLwWBF8 z*=uTKZnn!z|0mR^^feKxSXoge}gERMA0`Rt0~fIc#ie^%zO_2yix)iBUw4I`X6iuK= ziK3kp&7x=&MN$+Er$~+>4T=;fnoiNT7lv^Zt)+;cqRkY^Q>0AMB8s+9G?t?I6iudR zDMh>#@liCDqHq6(QnZPptrUq;G>xJW6v^V(-uB%{9x?f;hr*0>h2 zZB-AuC-%#@*6&sO3q#TVms-PLujQDk_-!N_ed{t-djDg}FyWW#Z@utq)g0forPx$+ zf3N;FUw%!SPw`vlnd$8Qx5WJ`HBD4fe@V?R+5!CE-}>BmzT@OE-%*j2hyEwujg(o~ zS6PvbJkg`qPo~L7v&!t`+_+is(e#KNH#U5Bc8NXW&zkSMeU3r@f3zO>pY`;zE~}m( z-5y<@l&fiaq)gZERUZ7G@zCq7S?wYA2-4+9*_ssx9Z5YMb=kyi{Tuz#?XoMA_z4m@ zQYNU&CN8=>y-f6~Ilt$XU^J_&%k`a4FVp4dWx5`{{zuD-EdT7}37^PWv&Kg>oAwa- zzL3OE(Twu<>`Le)zj?|KLm*$kt0az6}!KELg3)AW+5r} ziNAcJpx*Q8`YgWn*Z;Ij?Eg`yNc_Z3cq%PGG5 zj)dQ5Y@*kWB5*IxlQYP3d&c5QH$IWVYpLXbSbUQS^J@FAeHu61kG<^~e$pgp7 zKKhf@kJcUE<$gD||Cjo|(LVn@S zv^YtbV6S+aS@Vt!TC?~BIcRc(Pmo?uFVp2no{1c(CrJ1N37;V0v%}vi_gm%J`6c|m z>{++6<~0k69>Jb^THZ-LLF+#1f3qB$c<6TMe#!VEa&)B2)9Xo@$PpxbI+A*V^m{!QZH_`x`=>sYUsH2hKh-!1pwj)(tNpG|(O|0KJ= zIZuC=IN0RrH@AnK9oBrdu4awHS{Aa(9Av)NuwH-Il!-oD`9Ade)F=K45_>FUt54)v z*fYL}KB=eKA@;24`Jl;j(8_G}*!Uy)>ZM2b%TAxPi^vnC_g^3SJ#nz~Nx26}I|&kd zH0+fxT0K2qJ!N`3$ati;gYKV{f2%&xBk>V^;`evvu~$FRZ2;Ysh%t!bH z69M=ujTK@OT9QnqICi5wk?UAi3M6M1^Mnq`;HS7gl- zMcQ()E~`xVq#VtLPnYYfOqM%|T{`xq&#u0j79Tq~U78%dTuqi^X>$LqeWFkI7tQiR z=l|BSVjp%$-Y2sjOCa(+%hF%Je@s$jAz3CTvBZC7m{Ugn%!PHI$ANgM>}%esV5kkt3Y*@yie z`M%`nag#Djug5=&Ps(I@x~I%qW+r|Kzb9Ur-Cq13t^Ywe;-4Tpf25wYr$>(DjZGeU z>`n1da%mK}T5)0QLY_DGo^(I;hsbbj>f@AKc9zKl)E1c`rACP?SA zE3@O%?GQN@auB4+k#-QIw~z4YNaWZe%MUv}vdl`?C-QW@HO(Hqp6C%I^`uO&hfm7~ zspp{O&6?$xjAx=x_&sHs9p$yf@}A`v z^0PS|Y0H5<@@$svdg_TCnjEPo$kB&fPd$;NA^Dp4N6B%}+Dpp4kQGNS|9!QWR!{6& z6TfVhWl24e?}dHEL+XhiHgOQUJ^pCa{4K@K9HLbNj)hOWXC7< zKZ+>h$f{gI!Qi9W4Nem15f`T3TPbh)1KPhb8beh9Ms_tK~7 zk@}w3YogCWQs0AQzL8}nHgfcKu(MD2J@#pKd)Z;*kL0D7{O|1tx*o|3J+Ex?LE6<5 z4_%L4KhXU2=+pT0e35dG{Ex;@i=#)M_@g7ccChl$OaDjX_;2;ujT<)pNxtaVD}Gx0 z>GEXU5k5P8Qr`=Ibo`Jw*yaDfZ9lvG6TdWM*A8~=@8Q$qr?;O?e-Zs2zcf9p(UHo|v-gXX`s3jghJfPZavC!15Ng}$#QORzS-2e3B1o3P4+AI&OT z3w)Q~F!nq0jr&j39sj-TCiopCSY?R`tTGEHv+7M)sLQfb&B6c{UvtWLJ;jMEWa(S8 zkYn<9zAj6i_|2a5oo~YOzhM+hZuED|W|jF^Wj9v4C$q}BEbKW1fYt737Lv{IZY()s zpYVwtk}nCC{c4&&l5ZkM4k2K&@}14fhY3rc$dkC}d1?*0& zVAV_ZwogtL`Nh6uZ~NqAk?-|=*q7?9PfjHHMPI77J~@%(mwM^m_2i_IZ!a=Oe(e?L z+pE(ruRwyVGerug4nBS3fuy2aqUz!cr)3qrR@NNjH(vV7X(C7ezZS@;B;Qd=(T}D1 Jy{xSG{{VxH-Q)lO literal 0 HcmV?d00001