{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Extremal Kerr black hole\n", "\n", "This Jupyter/SageMath notebook is relative to the lectures\n", "[Geometry and physics of black holes](https://luth.obspm.fr/~luthier/gourgoulhon/bh16/).\n", "\n", "The computations make use of tools developed through the [SageManifolds project](https://sagemanifolds.obspm.fr)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'SageMath version 9.3.rc5, Release Date: 2021-04-30'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX rendering:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To speed up computations, we ask for running them in parallel on 8 threads:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "Parallelism().set(nproc=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spacetime manifold\n", "\n", "We declare the Kerr spacetime as a 4-dimensional Lorentzian manifold $M$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4-dimensional Lorentzian manifold M\n" ] } ], "source": [ "M = Manifold(4, 'M', structure='Lorentzian')\n", "print(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then introduce (3+1 version of) the **Kerr coordinates** $(\\tilde{t},r,\\theta,\\tilde{\\varphi})$ as a chart KC on $M$, via the method chart(). The argument of the latter is a string (delimited by r\"...\" because of the backslash symbols) expressing the coordinates names, their ranges (the default is $(-\\infty,+\\infty)$) and their LaTeX symbols:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chart (M, (tt, r, th, tph))\n" ] }, { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,({\\tilde{t}}, r, {\\theta}, {\\tilde{\\varphi}})\\right)$$" ], "text/plain": [ "Chart (M, (tt, r, th, tph))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KC. = M.chart(r\"tt:\\tilde{t} r th:(0,pi):\\theta tph:(0,2*pi):periodic:\\tilde{\\varphi}\") \n", "print(KC); KC" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\tilde{t}} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\tilde{\\varphi}} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\mbox{(periodic)}$$" ], "text/plain": [ "tt: (-oo, +oo); r: (-oo, +oo); th: (0, pi); tph: [0, 2*pi] (periodic)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KC.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Metric tensor \n", "\n", "The mass parameter $m$ of the extremal Kerr spacetime is declared as a symbolic variable:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "m = var('m', domain='real')\n", "assume(m>0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We get the (yet undefined) spacetime metric:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "g = M.metric()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and initialize it by providing its components in the coordinate frame associated with the Kerr coordinates, which is the current manifold's default frame:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}g = \\left( \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} - 1 \\right) \\mathrm{d} {\\tilde{t}}\\otimes \\mathrm{d} {\\tilde{t}} + \\left( \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} {\\tilde{t}}\\otimes \\mathrm{d} r + \\left( -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} {\\tilde{t}}\\otimes \\mathrm{d} {\\tilde{\\varphi}} + \\left( \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} r\\otimes \\mathrm{d} {\\tilde{t}} + \\left( \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1 \\right) \\mathrm{d} r\\otimes \\mathrm{d} r -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} r\\otimes \\mathrm{d} {\\tilde{\\varphi}} + \\left( m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} {\\tilde{\\varphi}}\\otimes \\mathrm{d} {\\tilde{t}} -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\tilde{\\varphi}}\\otimes \\mathrm{d} r + {\\left(\\frac{2 \\, m^{3} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + m^{2} + r^{2}\\right)} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\tilde{\\varphi}}\\otimes \\mathrm{d} {\\tilde{\\varphi}}$$" ], "text/plain": [ "g = (2*m*r/(m^2*cos(th)^2 + r^2) - 1) dtt*dtt + 2*m*r/(m^2*cos(th)^2 + r^2) dtt*dr - 2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) dtt*dtph + 2*m*r/(m^2*cos(th)^2 + r^2) dr*dtt + (2*m*r/(m^2*cos(th)^2 + r^2) + 1) dr*dr - m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2 dr*dtph + (m^2*cos(th)^2 + r^2) dth*dth - 2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) dtph*dtt - m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2 dtph*dr + (2*m^3*r*sin(th)^2/(m^2*cos(th)^2 + r^2) + m^2 + r^2)*sin(th)^2 dtph*dtph" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rho2 = r^2 + (m*cos(th))^2\n", "g[0,0] = - (1 - 2*m*r/rho2)\n", "g[0,1] = 2*m*r/rho2\n", "g[0,3] = -2*m^2*r*sin(th)^2/rho2\n", "g[1,1] = 1 + 2*m*r/rho2\n", "g[1,3] = -m*(1 + 2*m*r/rho2)*sin(th)^2\n", "g[2,2] = rho2\n", "g[3,3] = (r^2 + m^2 + 2*m^3*r*sin(th)^2/rho2)*sin(th)^2\n", "g.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A matrix view of the components with respect to the manifold's default vector frame:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrrr}\n", "\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} - 1 & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} & 0 & -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\\\\n", "\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1 & 0 & -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} \\\\\n", "0 & 0 & m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2} & 0 \\\\\n", "-\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} & -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} & 0 & {\\left(\\frac{2 \\, m^{3} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + m^{2} + r^{2}\\right)} \\sin\\left({\\theta}\\right)^{2}\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ 2*m*r/(m^2*cos(th)^2 + r^2) - 1 2*m*r/(m^2*cos(th)^2 + r^2) 0 -2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2)]\n", "[ 2*m*r/(m^2*cos(th)^2 + r^2) 2*m*r/(m^2*cos(th)^2 + r^2) + 1 0 -m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2]\n", "[ 0 0 m^2*cos(th)^2 + r^2 0]\n", "[ -2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) -m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2 0 (2*m^3*r*sin(th)^2/(m^2*cos(th)^2 + r^2) + m^2 + r^2)*sin(th)^2]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g[:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The list of the non-vanishing components:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\begin{array}{lcl} g_{ \\, {\\tilde{t}} \\, {\\tilde{t}} }^{ \\phantom{\\, {\\tilde{t}}}\\phantom{\\, {\\tilde{t}}} } & = & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} - 1 \\\\ g_{ \\, {\\tilde{t}} \\, r }^{ \\phantom{\\, {\\tilde{t}}}\\phantom{\\, r} } & = & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\\\ g_{ \\, {\\tilde{t}} \\, {\\tilde{\\varphi}} }^{ \\phantom{\\, {\\tilde{t}}}\\phantom{\\, {\\tilde{\\varphi}}} } & = & -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\\\ g_{ \\, r \\, {\\tilde{t}} }^{ \\phantom{\\, r}\\phantom{\\, {\\tilde{t}}} } & = & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\\\ g_{ \\, r \\, r }^{ \\phantom{\\, r}\\phantom{\\, r} } & = & \\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1 \\\\ g_{ \\, r \\, {\\tilde{\\varphi}} }^{ \\phantom{\\, r}\\phantom{\\, {\\tilde{\\varphi}}} } & = & -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} \\\\ g_{ \\, {\\theta} \\, {\\theta} }^{ \\phantom{\\, {\\theta}}\\phantom{\\, {\\theta}} } & = & m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2} \\\\ g_{ \\, {\\tilde{\\varphi}} \\, {\\tilde{t}} }^{ \\phantom{\\, {\\tilde{\\varphi}}}\\phantom{\\, {\\tilde{t}}} } & = & -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\\\ g_{ \\, {\\tilde{\\varphi}} \\, r }^{ \\phantom{\\, {\\tilde{\\varphi}}}\\phantom{\\, r} } & = & -m {\\left(\\frac{2 \\, m r}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + 1\\right)} \\sin\\left({\\theta}\\right)^{2} \\\\ g_{ \\, {\\tilde{\\varphi}} \\, {\\tilde{\\varphi}} }^{ \\phantom{\\, {\\tilde{\\varphi}}}\\phantom{\\, {\\tilde{\\varphi}}} } & = & {\\left(\\frac{2 \\, m^{3} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} + m^{2} + r^{2}\\right)} \\sin\\left({\\theta}\\right)^{2} \\end{array}$$" ], "text/plain": [ "g_tt,tt = 2*m*r/(m^2*cos(th)^2 + r^2) - 1 \n", "g_tt,r = 2*m*r/(m^2*cos(th)^2 + r^2) \n", "g_tt,tph = -2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) \n", "g_r,tt = 2*m*r/(m^2*cos(th)^2 + r^2) \n", "g_r,r = 2*m*r/(m^2*cos(th)^2 + r^2) + 1 \n", "g_r,tph = -m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2 \n", "g_th,th = m^2*cos(th)^2 + r^2 \n", "g_tph,tt = -2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) \n", "g_tph,r = -m*(2*m*r/(m^2*cos(th)^2 + r^2) + 1)*sin(th)^2 \n", "g_tph,tph = (2*m^3*r*sin(th)^2/(m^2*cos(th)^2 + r^2) + m^2 + r^2)*sin(th)^2 " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display_comp()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Einstein equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us check that we are dealing with a solution of the **vacuum Einstein equation**:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{Ric}\\left(g\\right) = 0$$" ], "text/plain": [ "Ric(g) = 0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.ricci().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Boyer-Lindquist coordinates\n", "\n", "Let us introduce on the chart of Boyer-Lindquist coordinates $(t,r,\\theta,\\varphi)$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chart (M, (t, r, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M, (t, r, th, ph))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BL. = M.chart(r\"t r th:(0,pi):\\theta ph:(0,2*pi):periodic:\\varphi\") \n", "print(BL); BL" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}t :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\varphi} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\mbox{(periodic)}$$" ], "text/plain": [ "t: (-oo, +oo); r: (-oo, +oo); th: (0, pi); ph: [0, 2*pi] (periodic)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BL.coord_range()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} t & = & -2 \\, m \\log\\left(\\frac{{\\left| -m + r \\right|}}{m}\\right) - \\frac{2 \\, m^{2}}{m - r} + {\\tilde{t}} \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\tilde{\\varphi}} - \\frac{m}{m - r} \\end{array}\\right.$$" ], "text/plain": [ "t = -2*m*log(abs(-m + r)/m) - 2*m^2/(m - r) + tt\n", "r = r\n", "th = th\n", "ph = tph - m/(m - r)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KC_to_BL = KC.transition_map(BL, [tt + 2*m^2/(r-m) - 2*m*ln(abs(r-m)/m),\n", " r,\n", " th,\n", " tph + m/(r-m)])\n", "KC_to_BL.display()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & -\\frac{2 \\, m^{2} \\log\\left(m\\right) - 2 \\, m r \\log\\left(m\\right) - 2 \\, m^{2} - {\\left(m - r\\right)} t - 2 \\, {\\left(m^{2} - m r\\right)} \\log\\left({\\left| -m + r \\right|}\\right)}{m - r} \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\tilde{\\varphi}} & = & \\frac{m {\\varphi} - {\\varphi} r + m}{m - r} \\end{array}\\right.$$" ], "text/plain": [ "tt = -(2*m^2*log(m) - 2*m*r*log(m) - 2*m^2 - (m - r)*t - 2*(m^2 - m*r)*log(abs(-m + r)))/(m - r)\n", "r = r\n", "th = th\n", "tph = (m*ph - ph*r + m)/(m - r)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KC_to_BL.inverse().display()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}g = \\left( -\\frac{m^{2} \\cos\\left({\\theta}\\right)^{2} - 2 \\, m r + r^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\left( -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} t\\otimes \\mathrm{d} {\\varphi} + \\left( \\frac{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}}{m^{2} - 2 \\, m r + r^{2}} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + \\left( m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( -\\frac{2 \\, m^{2} r \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} t + \\left( \\frac{2 \\, m^{3} r \\sin\\left({\\theta}\\right)^{4} + {\\left(m^{2} r^{2} + r^{4} + {\\left(m^{4} + m^{2} r^{2}\\right)} \\cos\\left({\\theta}\\right)^{2}\\right)} \\sin\\left({\\theta}\\right)^{2}}{m^{2} \\cos\\left({\\theta}\\right)^{2} + r^{2}} \\right) \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}$$" ], "text/plain": [ "g = -(m^2*cos(th)^2 - 2*m*r + r^2)/(m^2*cos(th)^2 + r^2) dt*dt - 2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) dt*dph + (m^2*cos(th)^2 + r^2)/(m^2 - 2*m*r + r^2) dr*dr + (m^2*cos(th)^2 + r^2) dth*dth - 2*m^2*r*sin(th)^2/(m^2*cos(th)^2 + r^2) dph*dt + (2*m^3*r*sin(th)^4 + (m^2*r^2 + r^4 + (m^4 + m^2*r^2)*cos(th)^2)*sin(th)^2)/(m^2*cos(th)^2 + r^2) dph*dph" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(BL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of the hypersurfaces $t=\\mathrm{const}$ in terms of the Kerr coordinates\n", "\n", "The plot is performed via the method plot of the Boyer-Lindquist chart:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 24 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = BL.plot(KC, ambient_coords=(r, tt), fixed_coords={th: pi/2, ph: 0}, \n", " ranges={t: (-10, 10), r: (-10, 10)}, steps={t: 2, r: 2}, \n", " plot_points=200, style={t: ':', r: '-'}, color={t: 'white', r: 'blue'},\n", " parameters={m: 1})\n", "Hor = line(((1, -8), (1, 8)), color='black', thickness=3) + \\\n", " text(r'$\\mathscr{H}$', (1.5, 4.7), color='black', fontsize=20)\n", "graph += Hor\n", "graph.set_aspect_ratio(1)\n", "graph.save(\"exk_BL_slicing.pdf\", axes_labels=[r\"$r/m$\", r\"$\\tilde{t}/m$\"], \n", " ymin=-5, ymax=5, figsize=7)\n", "graph.show(axes_labels=[r\"$r/m$\", r\"$\\tilde{t}/m$\"], ymin=-5, ymax=5, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ingoing principal null geodesics" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}k = \\frac{\\partial}{\\partial {\\tilde{t}} }-\\frac{\\partial}{\\partial r }$$" ], "text/plain": [ "k = d/dtt - d/dr" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k = M.vector_field(1, -1, 0, 0, name='k')\n", "k.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us check that $k$ is a null vector:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}0$$" ], "text/plain": [ "0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g(k, k).expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check of $\\nabla_k k = 0$:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "nabla = g.connection()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}0$$" ], "text/plain": [ "0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nabla(k).contract(k).display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expression of $k$ with respect to the Boyer-Lindquist frame:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}k = \\left( \\frac{m^{2} + r^{2}}{m^{2} - 2 \\, m r + r^{2}} \\right) \\frac{\\partial}{\\partial t } -\\frac{\\partial}{\\partial r } + \\left( \\frac{m}{m^{2} - 2 \\, m r + r^{2}} \\right) \\frac{\\partial}{\\partial {\\varphi} }$$" ], "text/plain": [ "k = (m^2 + r^2)/(m^2 - 2*m*r + r^2) d/dt - d/dr + m/(m^2 - 2*m*r + r^2) d/dph" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k.display(BL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Outgoing principal null geodesics" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\ell = \\left( \\frac{m r}{m^{2} + r^{2}} + \\frac{1}{2} \\right) \\frac{\\partial}{\\partial {\\tilde{t}} } + \\left( -\\frac{m r}{m^{2} + r^{2}} + \\frac{1}{2} \\right) \\frac{\\partial}{\\partial r } + \\left( \\frac{m}{m^{2} + r^{2}} \\right) \\frac{\\partial}{\\partial {\\tilde{\\varphi}} }$$" ], "text/plain": [ "el = (m*r/(m^2 + r^2) + 1/2) d/dtt + (-m*r/(m^2 + r^2) + 1/2) d/dr + m/(m^2 + r^2) d/dtph" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "el = M.vector_field(1/2 + m*r/(r^2 + m^2),\n", " 1/2 - m*r/(r^2 + m^2),\n", " 0,\n", " m/(r^2 + m^2),\n", " name='el', latex_name=r'\\ell')\n", "el.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us check that $\\ell$ is a null vector:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}0$$" ], "text/plain": [ "0" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g(el, el).expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expression of $\\ell$ with respect to the Boyer-Lindquist frame:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\ell = \\frac{1}{2} \\frac{\\partial}{\\partial t } + \\left( -\\frac{m r}{m^{2} + r^{2}} + \\frac{1}{2} \\right) \\frac{\\partial}{\\partial r } + \\frac{m}{2 \\, {\\left(m^{2} + r^{2}\\right)}} \\frac{\\partial}{\\partial {\\varphi} }$$" ], "text/plain": [ "el = 1/2 d/dt + (-m*r/(m^2 + r^2) + 1/2) d/dr + 1/2*m/(m^2 + r^2) d/dph" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "el.display(BL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computation of $\\nabla_\\ell \\ell$:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( -\\frac{m^{5} + 2 \\, m^{4} r - 2 \\, m^{2} r^{3} - m r^{4}}{2 \\, {\\left(m^{6} + 3 \\, m^{4} r^{2} + 3 \\, m^{2} r^{4} + r^{6}\\right)}} \\right) \\frac{\\partial}{\\partial {\\tilde{t}} } + \\left( -\\frac{m^{5} - 2 \\, m^{4} r + 2 \\, m^{2} r^{3} - m r^{4}}{2 \\, {\\left(m^{6} + 3 \\, m^{4} r^{2} + 3 \\, m^{2} r^{4} + r^{6}\\right)}} \\right) \\frac{\\partial}{\\partial r } + \\left( -\\frac{m^{4} - m^{2} r^{2}}{m^{6} + 3 \\, m^{4} r^{2} + 3 \\, m^{2} r^{4} + r^{6}} \\right) \\frac{\\partial}{\\partial {\\tilde{\\varphi}} }$$" ], "text/plain": [ "-1/2*(m^5 + 2*m^4*r - 2*m^2*r^3 - m*r^4)/(m^6 + 3*m^4*r^2 + 3*m^2*r^4 + r^6) d/dtt - 1/2*(m^5 - 2*m^4*r + 2*m^2*r^3 - m*r^4)/(m^6 + 3*m^4*r^2 + 3*m^2*r^4 + r^6) d/dr - (m^4 - m^2*r^2)/(m^6 + 3*m^4*r^2 + 3*m^2*r^4 + r^6) d/dtph" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acc = nabla(el).contract(el)\n", "acc.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We check that $\\nabla_\\ell \\ell = \\kappa \\ell$:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{m^{3} - m r^{2}}{m^{4} + 2 \\, m^{2} r^{2} + r^{4}}$$" ], "text/plain": [ "-(m^3 - m*r^2)/(m^4 + 2*m^2*r^2 + r^4)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kappa = acc[0] / el[0]\n", "kappa" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{{\\left(m + r\\right)} {\\left(m - r\\right)} m}{{\\left(m^{2} + r^{2}\\right)}^{2}}$$" ], "text/plain": [ "-(m + r)*(m - r)*m/(m^2 + r^2)^2" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kappa.factor()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( \\frac{m^{2} + 2 \\, m r + r^{2}}{2 \\, {\\left(m^{2} + r^{2}\\right)}} \\right) \\frac{\\partial}{\\partial {\\tilde{t}} } + \\left( \\frac{m^{2} - 2 \\, m r + r^{2}}{2 \\, {\\left(m^{2} + r^{2}\\right)}} \\right) \\frac{\\partial}{\\partial r } + \\left( \\frac{m}{m^{2} + r^{2}} \\right) \\frac{\\partial}{\\partial {\\tilde{\\varphi}} }$$" ], "text/plain": [ "1/2*(m^2 + 2*m*r + r^2)/(m^2 + r^2) d/dtt + 1/2*(m^2 - 2*m*r + r^2)/(m^2 + r^2) d/dr + m/(m^2 + r^2) d/dtph" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(acc/kappa).display()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}$$" ], "text/plain": [ "True" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acc == kappa*el" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot of principal null geodesics" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "lamb = var('lamb', latex_name=r'\\lambda')\n", "def inPNG(v0, th0, tph0):\n", " return M.curve({KC: [lamb + v0, -lamb, th0, tph0]}, param=lamb)\n", "\n", "def outPNG_I(u0, th0, tph0):\n", " return M.curve({KC: [u0 + r - 4*m^2/(r - m) + 4*m*ln(abs(r - m)/m), \n", " r, th0, tph0]}, \n", " param=(r, 1, +oo))\n", "\n", "def outPNG_III(u0, th0, tph0):\n", " return M.curve({KC: [u0 + r - 4*m^2/(r - m) + 4*m*ln(abs(r - m)/m), \n", " r, th0, tph0]}, \n", " param=(r, -oo, 1))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( r, v \\right) \\ {\\mapsto} \\ -r + v$$" ], "text/plain": [ "(r, v) |--> -r + v" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u, v = var('u v')\n", "tt_in(r,v) = v - r\n", "tt_in" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( r, u \\right) \\ {\\mapsto} \\ r + u - \\frac{4}{r - 1} + 4 \\, \\log\\left({\\left| r - 1 \\right|}\\right)$$" ], "text/plain": [ "(r, u) |--> r + u - 4/(r - 1) + 4*log(abs(r - 1))" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tt_out(r, u) = u + r - 4/(r - 1) + 4*ln(abs(r - 1))\n", "tt_out" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 62 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rmin = -8; rmax = 8\n", "graph = Graphics()\n", "for u0 in range(-40, 40, 2):\n", " graph += plot(tt_out(r, u0), (r, rmin, rmax), color='green', \n", " axes_labels=[r\"$r/m$\", r\"$\\tilde{t}/m$\"])\n", "for v0 in range(-20, 20, 2):\n", " graph += plot(tt_in(r, v0), (r, rmin, rmax), color='green', linestyle='--')\n", "\n", "graph += Hor\n", "graph.set_aspect_ratio(1)\n", "graph.show(ymin=-5, ymax=5, figsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We add the vectors $k$ and $\\ell$ at the intersection of the $v=6m$ ingoing geodesic with the $u=-6m$ outgoing one:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(1.7455241690199994, 4.254475830980001\\right)$$" ], "text/plain": [ "(1.7455241690199994, 4.254475830980001)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u0, v0 = -6, 6\n", "r0 = RDF(find_root(tt_in(r, v0) == tt_out(r, u0), 2, 6))\n", "tt0 = tt_in(r0, v0)\n", "tt0, r0" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tangent vector k at Point p_0 on the 4-dimensional Lorentzian manifold M\n" ] } ], "source": [ "p0 = M((tt0, r0, pi/2, 0), name='p_0')\n", "k0 = k.at(p0)\n", "print(k0)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tangent vector el at Point p_0 on the 4-dimensional Lorentzian manifold M\n" ] } ], "source": [ "el0 = el.at(p0)\n", "print(el0)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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BESpmoGPVjqjrVtfkHhWhRIiT70+iw8EOaLKnCc4GncWslrMQNi8M96fcx7hG4/QyrJZUKIrC3NZzcfXDVSJUzETj8o3RqVqnr9qjEpgaCGdbZ1R1qap2mxyh/C4nc9eQqaQw70mpTKqopKj6rP2Y/lHjGjR9PstoWZG7lYwnRV27F1fEBQA42xZt91LX6pWclwwAqOSkWaREZUcBgN4XKEFpQUaLlIDUAHBFXHSs2lHxWDXXahhebzimXZlmlFB5FP0IPDEPAz2LT6ScDDgJZ1tnvatS5mDby21oUK4BetXqVeS5sQ3HIoufZVGPikAiwPpn6zGx8UTUKVvHImswlCV3l6Ceez1MbzFd5fOl7Uvj2+bfWr1HhTHLV3WtisUdF1t6OSUaIlIATGwyEXsH7cX2V9uJUDEDrvauuDXxFuq51zOJUInNicWye8tQdUtVTLo0CaVsSuH86POIWxSH9b3Wl7gPZlPAeFSIUDEPdhw7nBt9Dn1q9/lqhUpgWiAalm+osW0hR5CjaPUCoBAIyu1eLIql9hi7B+3WuAZtlRTGi8J8htuybcGX8ItUUph2L65QLlJUtXupM80rRIqWSkpkViQA/URKnigP0dnRGn0/uvA09ils2bZoXbm14jEWxcKeQXswo8UMo4TK9bDrqOZazeg16gpN0zgZcBIjG4y0+OTFmOwYXPlwBfPazFP5HvZy98KDKQ8sKlQOvT2E5LzkEldFuR1xG3cj72Jdz3XgsNQ7EVZ0XYGV3VZatVC5EHIBdyPv4p9+/1j8PVvSISLlEzNbzlQIlR9v/2jp5XxxKAuV+bf0n6omo2W4E3EHw04PQ81tNbHTdyfGNxqPkLkhuPvNXYxsMPKr92MoC5UrH65YejlfHMpCZc6NOYoLb2tl586daNCgAVq3bq19Yx3wS/JD84rNNW7DVFIYCrd7KQsJVTSt0FTj8XX2pKCQJ4VTyJPyqZKSK8wFUFSkZPAz1I4fZkRKBccKGtcamRWJUjalUN6xvMbtlAlJCwEAo9tTn8U9QyuPVgpxxqAsVBZ6L0QmP1Ov49I0jeth1zGw7sBi67H3TfRFeGa4VbR67Xm9B062TpjUZJLabZSFyvqn64txdfLugnVP12Fco3Hwcvcq1nMbg4yWYcndJehQtQOGeg3Vuj0jVP54+AfCM8OLYYW6ky/Kxw/eP2Cw5+BirTZ+qXy1xnlVzGw5ExQotV9OBONghIpAIgBFUZ/70zWQLcjGEf8j2P16Nz5mfETj8o2xa8AuTGwyEU62TsW08pLDEK8hCJoTpDB06vIzJugOI1SS85Jhy7a16p/v3LlzMXfuXOTm5sLV1TijaZ4oDyFpIfixveYbODnCgpUUvuRTuxczgpiWKfwimqoiyijf0NB0c0NKfxZAjJgp4kkR5xcYMMGIlML975n8TFRxqaLyPMl5ybBh2Wg1jTOTvfR5fwSlBQEA6perr/M+qnge9xxjGoxR+RwjVBZ3XIyyDmX1eg9/yPiAyKzIYvWjnAo4hUpOldC9RvdiO6cqBBIBDrw9gGnNpmn97vFy98Lz6c8VwxWK63PiiP8RJOQm4NfOv5r9XKbkVMAp+Cf749m3z3T+Oa3ougLjG41HnbJ1rOpzeO2TtUjNT8XWflstvZQvAlJJKcR3Lb/DiPojQNM0LoZcJK1fJsbV3hUVnCogOS8ZHQ91VNv69T7lPWZem4nKmyvj5zs/o3nF5ng89THezX6HWa1mEYGiAUagHH57GOMujCOtXybGjmOH6qWrgyvkovfx3l9F69fbpLegQaOVRyuN2xWevMMXF6ykyGjZ5+leKlB1oTHm3BjkifIA6NDu9Wl/Xj4PSAaSY5ILjiAW5RfIKmA8KYUrKVn8LJS1L4vIyEhER0cXeC4lPwUVnCp8NumrISo7Sm/TfFBqEGqUrmHU51siNxGxObFoX7W92m1YFAt1ytaBWCrGqHOjdM5Ruf7xOuw59uhes3gEg0QmwenA0xjXaFyxhkaq4mzQWaTz0jGn9Rydtq9RugZs2bbwTfBF58Odzd76JZaKsf7ZeoxuONpokVucCCQC/Hr/VwyvNxwdqnbQa9+6bnVB0zS+v/G9VbR+hWWEYeOLjVjScQkxy5sIIlLU8CL+BUaeHUkCH82EA8cBMlpWwKMilUlx9cNV9DjaA033NMWNsBv4peMviF0Yi9OjTqNz9c5Wc7ekJOBWyg2XQi6RwEczYcu2hYONw1fhUXmd+Br2HHutbUhqKymMcZ6WGnTuAScHIE+Up7HdSyKTQJgrBC4AU9pPAfYAwzoNw405NxBzNQbZ2dnIF+cXCXJENPDvwX8LHCslPAVXllzBpEmT0Lt3b5w7d07xXHJeMio6VdS6bkMyUoLSgoz2eryIewEAaFelndZt2Sw23BzcMPXyVJ2EyvWw6+hRs0exhdLdj7qPlPwUq2j12um7E31q94Gnm6de+7nYuSAiK8LsHpVTAacQnR1d4rwou3x3IT43Hut6rjNof4qiUN6xvMU9KjRNY/6t+fBw9sAvnX6x2Dq+NIhIUUOHqh1IMr0ZKZBMf6wXfr79M7x2eGHo6aHgS/g4M+oMohZE4beuv2k1qBJUQ5LpzcvXlEz/Ouk1mldsrtHQChQ1zhfOSdHmSVHF2dFn4Z/sjwEnB2jMURHniXFn+R0gGZixYgYwGfhl1S9g2bEQei4U1atXx/Ud12GTaQMejwdfX1/s/H0nEAr8sOAHxXG2bt2K1G2pqN+mPp4/f445c+YgMjJS8XxyXrJWP4qMliEqy4BKiglEik+8D6q5VtMpx0XZo6JNqHCFXDyJfYIBdQYYtT59OBlwEl5uXmhRqUWxnVMVvgm+eJXwCnNbax6RrQovdy88nPIQmfxMswkVqUyKtU/XYojXEDSp0MTkxzcXWfwsrH68GjNazDDKQ8MEPlpSqFz9cBW3wm9hS98txCxvQohI0YByMj0RKqYnS5CF1h6twRVxsfHFRjSr2Awvpr/Ai+kvMKbhmK/eCG8KlIXKbw9+s/RyvjgKC5WY7BhLL8ks+Cb4am31AjQb521YNpDQEoBSnyyv6vHWlVvDe5I3/JP9ceTdEbXn5t7kwqaUDTAL6DqsK1AbmDN/Dpr+2RTdf+mOunXr4vWF14hZEwNHR0e0adMGLFsWnIY4gc1iQyqVYvbs2Vi0aBHQBpgwbwIA4MaNG+jTp4/iPCn5KVorKSl5KRBKhahZRneRwhVyEZsTi4bljaykxL9A+yrqW70KU1iovEp4pXK7+1H3IZFJ0K9OP6PWpys8MQ8XQy5iQuMJFq+g7/Tdiequ1Q324igLlZFnR5r8WuJ88Hl8zPhY4qoo65+uh1AqxO9dfzf6WMpC5WLIRROsTnf4Yj4Wei9Evzr9dDL+E3SHGOe1MKvVLADArYhbkMgk5MLZSGiaxrO4Z9jqsxWXQi/B1c4V89rMQ7OKzTCl2RRLL++LZIjXENyYeAPNKjaz9FK+SBihcj3sOqqXrm7p5ZicbEE2wjLD8KuHdjNutiAbpe1LK/6f8YOIZWLYsm0hkUnkQkTPa872VdvjzuQ7eBj9ED7xPiq3EQWK0H5BezzkPIRUJm8rY3JSmnZsit3rdmPotqHwf+yPxKuJ6Nu3L1rOaImP/h8hk8kwdepUnDhxAt17d8eD9g9QxqEMtm/fjvr166N5889TzZLzktG7Vm+N643JkYvV6q66vx+C04IBwKhKikgqwpukNxjVYJRe+zFCpVetXmjtoXoa3K3wW6hTtg5ql61t8Pr04dqHa8gT5WFC4wnFcj51pPPScTrwNFZ2W2mUL4YRKvnifJOKLhktw+onq9Gndh+0qdzGZMc1N3E5cdj2chsWd1xssm6J37v9joblG2Kw52CTHE9X/nr2FxK5ibg96bbFBfWXBqmk6MCsVrNwccxF2LBtEJUVRSoqBiCSinDy/Um0OdAGnQ93RmBqIHYO2Im4RXHY0m8LpjSbApqmsfrxarMm03+t9KrVC+6l3BGfG49FtxaR1i8TY8exw4j6IwDIx5R+Sa1ffkl+AKC1kiKWipErzC2QL8KM/xVJRQqRAgA6DvYqQNsqbdUGLAIALaHh6Cb3mzDeFTu2HbJjspEXJzfei1gipD5MRZUqVXDq1CnkifPgbOuM2bNn48SJE6hduzbW7VoHUMC1A9fw8eNHbNmy5fM5aFqndi+moqaPaA1KCwIFyijT87vkdxBIBDr5UQrDolgY03AMKIrCpZBLBXJUaJrGrYhb6Fe7eKoogLzVq23lthbPvTrodxAA1AYM6oOXu7x1TSARYMHNBSZp/br24RoCUwNL3ESvFQ9XwMXOBT93+Nmkxx3VYBRs2DZ4FvsMG59vNOmxVRGZFYn1T9fjx/Y/KobWEEwHESk6QlEUMngZaLGvBQl81IMsfhbWPVmHmttqYtKlSSjrUBY3J95E8NxgzG41u4CJVSgV4nrYdZMn0xM+E5gaKM+YIYGPZoGmadwMv/lFeVReJbyCo40jvNw094xnC7IBAGUdyioeK9Duxbb5LFIMvNmoaboXVZFCRkQGAMjbygCIBWIkX0lGxWoVkZCQgEerHkGQKcC+ffvg4uICroiLvDt52L9/PzgcDk6dOoWohCjgGtCsSTNs374dbPbnu+c5whyIpCKt7V7R2dFwtXMtUFXSRnBaMGqWqWmUKd0n3ge2bFuteTbauBt5t0DgY1hmGKKzo4ut1SuDl4Gb4TctbpiXyqTY/Xo3xjUap1Eg60sSNwnngs8Z7VGhaRprnqxBl+pd0Ll6Z5Otz9wEpATgqP9RrOi6osj4b1PxNPYpfr7zs9k9Kou8F6GcY7kS12pXUiDtXnrgVsoNf/X6C7P+k7eAbeu3jZT21BCXE4etPluxz28fxFIxvmn6DRa0XaCx39qeY49bE2+h38l+6HW8F+5OvouWHi2LcdVfPv3q9MP5Mecx6uwojL8wHv+O/Je0MJoQiqJwdtRZjD43GkNPD8WVcVfQt05fSy/LKJ7EPkGHqh20trpkCbIAFBIpn4zz2YJsRSXFhqX+/abNVK/p5hDVncL7M++BgQCfxwcSgfGjx6NU91Kw49hh8ODB4KfzUatHLfTuLW/XCn4cjIRrCQCAmTNn4saNG4gXxgMDgOHDhhc5BxPkqE2kxOTE6N36Z5LJXvEv0KJSC9hx7Iw6zvYB2yGWiTHtyjQAcnFmy7ZFtxrdjDqurpwLPgeapjG20dhiOZ86boTdQExOjEGGeU3ULFMTD6Y8QPej3dH9aHc8mPJAr9BPhjuRd+Cb6Ivbk26bdH3m5pd7v6BWmVqY2XKm2c6xpNMSCKVCLL8vFw/LOi8z+TluhN3A1Q9XcXbU2QI3XAmmg1RS9EQ5mZ5UVIoSkBKAKZenoNY/tXDI/xAWtF2AmIUx2Dd4n06GUOVk+l7Heyn6tAmmQzmZ/pvL31h6OV8cysn0Q08PxeOYx5ZeksFIZVI8i32GztW036Vl0ssZkULTdFHjPFNJMRBNI4hlNWToOK8j8BL4e8bfoHwobNu2DdKqUnhv98bbt2/BsmOhwxR5FkNISAh8dvgANODp6YlGjRrh559/RtdxXQEOUMa+aFijXiJFDz8KIM9IMcVkL31M8+pQNtNPuzINh98eRudqnYvtQuxkwEn0rt3boAt3U7LDdwdae7RG68qqfTrGoJxM3/1od3CFXL2PsfrxarSp3Aa9avUy+frMxcPoh7gRdgPreq6DLdvWrOdikumX31+OrT5bTXpsgUSA+Tfno2fNnnp7wAi6QyopBsCo/2X3luGnDj+hmms1C6/IstA0jUcxj/D3s79xM/wmqrlWw8beGzG9xXSDQskYobLmyRoSiGQmGKFCWr7MAyNUVjxYgcblG1t6OQYTkBqAHGEOulTvonXbwiJFLBNDRssKeFKY8ERDb+6oavdigQUZ5OKlQuMKsGHZ4IfeP2DZ/WVo0KAB8tfm4/X11wCAMt3LwL28O549e4bvvvsOUoEUFRpVQMi7ELBY8nt2WYIs2HPsVY4RZURKBSfNnpTo7Gj0rNlT59eVK8xFXG6cUZO9UvJSEJUdZZAfRRWMUClXqhw2vdiE1T1Wm+S42ojJjsHT2Kc4Pvx4sZxPHR8zPuJ2xG0cHXZU+8YGwgiViyEX9f6ufBzzGE9in+DquKslpqODpmksvrMYbSq3KbYL+xVdV8DRxlGvf4+6sOn5JsTkxODa+Gsl5udfEiGVFAOZ2XImwuaFoZprNYikoq+yoiKVSXE++DzaHmiL7ke7I4GbgBPDTyB8XjgWtFtgVGqyq70r/u79N+w59vBP9iceFTMwxGsIRjaQj8M89u4YESwmxo5jh796/4UyDmUQnR2Ne5H3LL0kvXkS8wQ2LBudpgYxIqWMg7wCwWSaONg4KKZ7iaVizb4SLV/2qj5nlbNbxFIxbNg2EEqFsGXbIjc3F+Jr8vc1i8WCIEuA47OOo0+fPggJCQHLnoW+P/ZVCBTmdaiqogByIeDAcYCzrfo+epqmEZOtXyXFFJO9XsTLQxxNUUlhYFEsdKvRDUKpEG0rt8Xl0MsmO7Y6TgWcQimbUhhWb5jZz6WJ3b674V7KHWMajjHrebzcvbC081JQFIVrH64hJS9Fp/1WP16NphWaYpDnILOuz5ScCz4H30Rf/N3r72K9sP+xw49oXKExeGIeTgWcMvp4sTmxWPNkDRa2XWjUoAuCdohIMYIyDmUgo2UYdnrYV5Wjwhfzsef1Hnjt8MLoc6PhbOeMWxNvwX+WPyY2mWhyj8Py+8uJmd6MBKUFYcbVGSTw0Yysf7oeA08NLHFm+sexj9Gmchudwsky+Zlw4DjAnmMPQG6aB+ReswLGeSM+JlVWUpQExv3o++BQHHnlRmqL+QvmA7ny5zp27AiqBoWhi4aCz5evrfSg0qhctXKB42Xxswr4apRh0uY1XWBl8jORL87Xb7JXahBYFAv13OvpvE9hfOJ94OHsgSouVQw+hipuhd+Ch7MHHsc8xogzI3RKpjcUmqZxMuAkhnoNNeoml7Hki/Jx2P8wZjSfoXg/mxu+mI85N+agx7EeWs30L+Nf4k7kHSzvvLzE3MUXSUVYdm8ZBtYdiK41ulpkDReCL2DixYlGm+l/8P4Bpe1LY0XXFSZaGUEdRKQYCYtiYajX0K8i8DGTn4nVj1ej+tbqmHtjLlp6tITvd76498099K3T12wflqdGnJIn0xOhYhYalW9EkunNzLZ+20pcMr2MluFR9COdWr0A+eeD8sW9QCIAADhwHCCWfs5J0VhJ0WKcL+xJoUCBRX3+GssSZCGfm48be28gfU06jh6Rt+p41PTAnTt3IGkowa2dt0DTNDp06AC0AlzsXAocM0uQpagGFSY5P1mnVi8AqFG6hsbtlAlKC0KtMrWMSqpmQhxN/TnsHeGNfrX7YWnnpTol0xtDYGoggtKCLD7V62TASXBFXMxuNbvYzulg44C7k+/qlEy/5ska1HOvpxh7XhLY92YforKjsL7XeoutYXLTyUYn09+JuIMLIRewsc9Gs00mI3yGiBQT8KUn06fkpWDJnSWovrU61j5ZizENxyBsXhjOjDqjUwq1sbjau8J7kjcRKmZEOZmeCBXTUziZviQIFf9kf6Tx0rQGFzIUFinK7V4iWcGcFE1CRROFP1sLiBQpUCukFqS7pAjKDALb5fM0sjm/z4GNrQ0EbwVIDE8Em83Grl27wBVxi4iUwq9DmZQ87WnzhgQ5GjvZSyKTwDfB12R+FIa4nDgEpQWhb52+RZLpzSFUzgSdQRn7MuhdW7f3nDmgaRo7Xu3AIM9BxR7OqpxMr06o+Cf749rHa1jWaZlR4ZLFSa4wF6sercKUplPQqHwji65FOZleX6Eikoow7+Y8dKneBeMbjTfTCgnKEOO8iWCS6Wdfn40+tftgsFfxJp6ag9icWGx4tgEH3h6ADcsG89rMw8J2Cy0ycYURKmPOj4FYRi6gzQEjVI6/P27wRSRBPYxQmXhxIkRSkaWXoxXvcG842jiiY7WOOm1fRKR8avdijPPMdC9j3luF96UoSl59yQJwHpA2kMJ9kTvoUBq5yZ/6vJoDbTu3lVd2nsofmjZtGrwaekF8WVzEX5IlyELdsqpD2ZLzktG2cluNa4zJjoEDx0GvXI2g1CBMaTpF5+0L8z7lPfgSvslFineEN1gUSzE9ihEqLIoFoURo0nPRNI0zQWcwvN5ws0990sTT2KcISA3Apj6bLHJ+RqjMvj5b5TS8tU/WombpmhjfuORcJG94tgFcEReruq+y9FIAyIUKAL3fw/+8/AfhmeE4O/psiWmzK+kQkWJCZrWahWYVm+lkMrVmwjPDsf7pehx7dwzOds5Y1mkZvm/zvdoWiOKCESqA/I5GVFYUvNw1B8wR9GOI1xAM8RoCAAhND0XtMrVJjooJsePY4fyY8wDkF2XBacFGTXQyJ94R3uhRs4fOF4yaKinK7V6a0NU4T4FSCBY6lQZOAOgHtBraCi8+vEDKdbn5uF7TeggdEAp7jj1evHoBpAEcGw5+++03xchXFzsX5ObmwtHREWw2W6NxnvGkaCI6Oxo1StfQ+SImW5CNBG6CUe+DVwmvwKbYaFGphcHHUIV3hDfaVm5b4O+VESoMASkBaFzB+Al2b5PfIjwzHDsH7DT6WMaw03cnPN080bOWaadB6QMz9QuAoppS3rE8QtJCcD74PPYO2ltgYIQ1k8RNwmafzVjQdoHJ/VLGwAgVQN5mqK3Ck8RNwspHKzGn9Rw0qdDE3MsjfIK0e5mYtlXagqIonA48jUW3FpWo1q/A1EBMuDABXju8cD3sOtb1XIeYhTH4retvFhcohfnz0Z9od7Adaf0yE3miPHQ53IUk05uR/X770XJfS6ts/eIKuXgW9wx9a+seRKmtksJhcUCDBk3TBn8uMp4URUVFAvD+5YEzigPUBaS0FBn/ZkDIFcKmtA14I3mAjXy/e/fk09Xa92qPatWqIVf4qdLCB0aPHo3Y2FgA6o3zMlqG1PxUrZ4UfYMcTTHZyzfBF40rNDYqrb4wEpkEdyLuaHwP3Ay7iaZ7miqS6Y3hTOAZuJdyR4+aPYw+lqEkcZNwIeQC5raeW8DrZEkmXZykaP36+/nf8HD2wDdNS06+1R8P/4A9xx6/dPrF0ktRyfuU92iyu4nW1q+l95bCjm2Hld1WFtPKCAARKWYjV5iLrS+3lojAR98EXww7PQyNdzfGs7hn2N5/O6IWROHHDj9adMKKJn7q8JMi8JEIFdPjZOuEA0MO4OqHq0SomIkpTacoAh+tTajcj7oPiUyCvnWMECnKnpRP7V6AXGCoa/nSmjgPuuB2wQCnBgc2VeXHDjoXhPzgfJRyK4WmS5ri1wG/AgAWeS9CZEwkAKBrH/lkoVxhLpALrJm3Bhs2bEDNmjVB07Ra43wGLwNSWmryIMfgtGCwKJZRVeFXia/QxsO0FfyX8S+RI8xBvzr91G7Tt05fReCjMUKFpmmcDT6LkfVHWrRCcMDvAGzZtka13pma7f23I4ufhU6HOuH4u+P4of0PsOPYWXpZOhGaHoqDbw/i186/orR9aUsvRyVNKjTBH900e1R84n1w9N1RrO251upu2H7pEJFiJkpCMv3jmMfoe6Iv2hxog5D0EBweehjh88Ixp/WcYhu7aCiFk+mJUDE9ysn0RKiYnsLJ9NYkVC6GXkSDcg1Qp2wdnffJEmSprKTYc+whlokVF5/GfBYW3pfOpMFx58jvej8BQs6HwKmuE3qs7YHSlUsr1v8h/QOe5skNKXY28gu8m//dBC4Ba7asQZMm8vYNnpgHkVRkVNo80+6lKyFpIahVppbBn7l5ojwEpwWbvM3YO8IbZR3KahyOUjiZ3lCh8irhFaKzozG24VhDl2s0UpkU+/32Y0KjCXC1d7XYOgrDtH4lchMBAMPrDbfwinRn6b2lqOpaFXNaz7H0UjSinExfWKjIaBnm35yP5hWbY3rz6RZa4dcLESlmRFmorH9qubF7ytA0jftR99HlcBd0PdIVyXnJOD3yNILnBGNqs6klyn+gLFQuhly09HK+SBih8jT2KaKyoyy9nC8OZaFyIuCEpZcDQB6IePXDVYysP1LnfWS0rIiXQ1FJ+dTuxUwiYlq+DEFKSwv8P7s+G4JnAvA28YBAoPns5qj3Uz2wXFiwY9sphNKpkaeQ3yQfaAxs+WMLOnTogODAYGA80Kje5170LEEWAKhs91KkzTuqb/fKFeYiW5CtVyUlNCPUqHwUvyQ/yGgZWldubfAxVHEr/BZ61+qtdYKUslA58u5IkTHRunAm6AwqOlXUedy1ObgZfhNxuXGKITjWhFspN0hkEjjaOsI/2d/Sy9GJ53HPcTn0MlZ3X10iKj+MUDkVcAo8MU/x+FH/o/BN9MU//f8pMdPUviRKhvOqBDOz5Uw42zqjW41uFl0HTdN4EP0Afzz8A09in6CVRytcHXcVgzwHlegpFa72rrj3zT04cOT5AnmiPKttUSupDPEagp41e8LR1hFCiRAsilWixKy1wwgVpgfeVO/hnTt3YufOnZBKpdo3VuJB9ANkC7L1ymDgCrmQ0bIiOSkUKEXSPFNJ0XQRq+2zqPC+rEosuC5xhVgkRg6dgyqeVZDBz4BIKkIpm1KKrJaOVTvi+KjjGCwZjFfzXqGScyVc/XAVJy+cLJB1kMWXixRVLR0p+XIzviZPSky2fPywPpWU0PRQjKhneN7Fq4RXKGVTCg3KNTD4GIXJ4GXgdeJr/K/V/3TanhEqzOeDPu9hGS3D2aCzGFV/lEUvAve83oOWlVoWy1h9ffnnpfwCOWB2AKqVrgaappEvzrfa7zqapvHL3V/QtELTEjWFbEXXFfix/Y8oZVMKeaI8SGVS/HLvF0xoPAGdqnWy9PK+SkglpRgY33g8KjlXQkpeCtY/XV+srV9M5aTrka7oeawn+BI+/hv/H17NeIXBXoNLtEBhKGVTChRF4V7kPdT+pzZp/TIDjraOoGka4y6MIzkqZsCOYwcbtg3ep7xHzW01TdL6NXfuXAQHB8PX11ev/S6GXEStMrXQtEJTnffJ5GcCQJF2LwcbB1AUpTDOA/LPJGNzUhTeFIoCi80Cx/6zALJh2UAoEcKWbasQKfYce8U+65+uR78T/ZDOSweAAmZzVa+DISUvBc62zhrN6UyQo67GeYFEgKisKKMqKa8SXqFlpZYm9XLcj7oPGrReeSUsigUHGwck5CbAa4eXzjkqz+OeI4GbgDENxxi6XKOJyY7BjbAbmNXS+qooXCEXO17twMwWM1GtdDUAwKYXm9D2QFutyfSW4lb4LTyJfYK1PddazQACXXG0dQRXyEXLfS0x8NRA5Ivy8Xevvy29rK+WkvXuKeE8iH6ApfeWFkvgoyZxMtBz4BchTgrTyqMVapauSTwqZoKiKExrNo0EPpoRLzcvtKvSzmIeFbFUjIshFzGi3gi9PiMy+BkAUMQ4z1Q4RVIR2NSndi+ahjqNomvivPJ2FPU50FFKS2HDtoFIKoId266ASGFav8Y2Ggv/ZH9sebEFjjaORRLrAaj0pKTmp2rNiIrJiYEt21arb4UhLCMMNGijRUprD9O2et2NvIt67vUMGhlbybkSBtYdqHPg45nAM6jsXFnnPB5zcMDvAJxsnazyrv++N/uQJ8rDD+1/UDw22HOwTsn0lkBGy7Ds/jJ0qtYJ/ev0t/RyDMLZzhm9a/XGs7hn6FC1Ayq7VLb0kr5aiEgpRsY1Gmf2ZPqvUZwwkGR680OS6c2LpZPpb4bfRBovDZObTtZrv7T8NABAOcdyiseYSgoAiGXigp4UAyspjCdFecoXBUrxuSaVSeWVFOnnSgqHxQGbxVb0mXet3hXek7yRwE2ASCpCnihPcXymkqJqElEqTweRkh2Daq7VdL57HJoeCgAGi5TU/FTE5MSY3DR/N+ouetXsZdC++iTTS2VSnA85j9ENRlvsjrtYKsbBtwcxqckkq2ufEkqE2OyzGZOaTEJV16qKx3VJprcU54LOwT/ZH+t6riux1xs0TSMsMwxl7MvgTuQdvZPpCaaDiJRiZlarWQqhssh7kcmOS9M0HkQ9QLej3dDzWE/wxDxcG3/tqxAnyigLlVn/zbLKqWolHWWhcjborKWX88WhLFRmXJuhqAYUB4feHkKLSi30DitL430SKaWUREqhSgpzESqjZepHEOsY5lhgewoFjl24ksJMzeKJeeCwOLBh26B91fYY1WAUJDIJtr/crjheFj8LzrbOKj1XulRSonOi9TPNp4fCvZQ73Eq56byPMr4J8lY+U4qUyKxIRGZFKlLmDUFZqMy9MVchYgvzOOYxkvOSMbaR5aZ6Xft4DUl5SVbZ6nX8/XEkcZOwuOPiIs8pC5U/Hv5R/ItTgVgqxq8PfsXAugNLtIfj2sdruB1xG0eGHcEfXf/AigcrEJIWYullfZUQ47wFYKaHONo6Gn0smqbxMPoh/nj0Bx7HPEbLSi1xbfw1DKz79QiTwjBChSvigqIo0DT91f4szMUQryF4O+utwqxLfsamhREqsTmxcj9FMfx8U/NTcT3sOrb03WLQvi52LgWm+OSL8xWfccrTvWS0zOgwR2WUKykSmQQcFkfhSRFKhLBjy9fEF/ML+Elc7Vzh5e6luADUlJECyKtF2nw6sTmxeoUyGjvZ61XCK7g5uOll1NfG3ci7YFNso4e9MEJlUbtFKOdYTuV7+GzQWVR3rY62ldsadS5j2PtmL9pVaYemFXX3YBUHUpkUfz/7G8PrD1f7HvFy98Kzb58p2gst/Tl82P8wIjIjcGHMBYutwVgEEgEWeS9C39p9MdhzMIZ4DcGoBqNQv1x9i/98v0ZIJcVCzGo1C5OaTAJN07gRdsOgL+0nMU/Q7Wg39DjWA/mifFwbfw2+3/mW+IldpsDV3hVVXKogg5dBWr/MRMPyDUFRFM4EniE5KmbAjmOHum51wRfzMeT0ELO3fp14fwIsioUJjSfovW9aflqBKgrwSaTYyEWKWCpWeFKMESmFRxADcpFSwJPC+lRJ4dhBKBUqhBNPzFNUdgCAK+LCvZQ72Cw2HkY/xIBTA5CSl6LSjwLoVkmJy4lDNddqOr+ekLQQ1HMzXKT4JvqiTeU2Jv28vxt5F20qtzFJVgiLYqF+ufqQyqSYcnlKgRwViUyCCyEXMKbhGIt9X0VkRuB2xG3MbjnbIufXxMWQiwjLDMMvHTUntdcqUwulbEohICUAPY71sFjrF1/Mx8pHKzG+8Xi9K7HWxOYXmxGbE4ut/bYq3pcNyzdUTCwjrV/FCxEpFuZN0hsMPDVQr8DH14mv0e9EP3Q50gU5ghxcGXeFiBM1cFgc5IvyiVAxIw42DrgYcpEIFTPBXICb06Mio2XY/Xo3htcbrnKylTbSeGkF/CgAkC/KV1QulNu9aJqGOn+8rsb5AttTn/eTyCSwYX/2pBSopEgKVlLyRHlwtpWPH7Zj2+FZ7DNc+XAFLnYuRc5L07RWkSKSipCcl4yqLlXVblP4tXzI+ID65errtL2qNb1KeGXSVi+pTIp7UfeMavVSBUVRsOfYFwh8fBD1AGm8NItO9drvtx+l7UtbdA2qoGka65+tR8+aPXXOv7Fl2yI0PdRiHpUdr3YgNT8Vq7qtKvZzm4r43HisebIG89vML1K9oigKpWxKaUymJ5geIlIsTCuPVjon0wemBmLEmRFovb81YnJicHbUWfjN8sMQryFEnKiBmOnND0mmNy/FYab/7+N/CM8Mx8J2Cw3aX9UFfJF2r0+VFCktNbiSomq/ApUU2edKCmOcL1BJsflcSVHO8mhftT28J3kjk5+J4LTgAmZ65rXwJXyNIiWRmwgatM4TseJz48ET8wxu94rKjkIGP8OkIsU/2R+Z/Ez0rqX76GFdUJVMfyboDGqVqYWWlVqa9Fy6IpKKcOjtIUxpOqXA+8IauBN5B35Jfvilk+YqijKWNNNnC7Kx7uk6fNfiO9QuW7vYzmtqltxdAidbJ6zoukLl8793+x1/dP2DCJVihIgUK0A5mV6VUAnPDMfEixPRZHcT+Cf74+iwowj8XyBGN7TcRJSShLJQ6XOij2KCD8F0KAuVX+7q/sVK0I3CQiU8M9ykx9/iswXtq7RHuyrtDNo/jaei3Uuk1O4lEytupGhq99I3zJHZXtmTYsOygVgqlldSpEKFcb6wJ6Vw4GD7qu3h6eaJXGEuvr3ybcHXp2J6WWHicuIAoMAUJk0YO9nrVcIrADDp+OG7kXfhaOOItlVM7xEpLFTOBp3F2IZjLXaD7VLIJaTx0qzSML/+6Xq08miFnjV76rWfslAZenposQ2O2fh8IwQSAX7r8luxnM8cPI19ilMBp7C+53qNrY7KQoUMjjE/xDhvJcxsOROAvA+V6aeOzYnFn4/+xGH/w6jgVAG7Bu7Ct82/hS3b1sKrLXkwQuVe1D2D2lkI2hniNQTXxl9D4wqNLb2ULxJGqFwIuYDaZUx3t/J14ms8jH6Ic6PPGXwMVZUUnpgHRxtHSGQSyGhZQU+KgSOI1aXVsz7db2PavURSkSLUkWn34kmKelIKj5wVy8QY03AMfu3ya5HXB0BjJSUu95NI0bHdKzQ9FHZsO72mgSnjm+CLGqVraBRO+nIn8g661uhqtu8YRqi42Llg04tNGNvQclO99rzZg87VOhvcbmcuXsa/xIPoBzg/+rxBAo4RKhn8jGIRgMl5ydjiswUL2i5AJedKZj+fOZDKpJh3cx5ae7TGlGZTtG7/e7ffUdetLoZ6DS2G1X3dkNvwVsTMljNxY+INZAuy8e3lb1Hnnzq48uEKNvTegPB54ZjdajYRKEbgau+KEfVHAAC2vNhCWr/MQN86feHh7IHU/FQsvrOYtH6ZGDuOHSY0ngCKonD83XGTtH79/vB3eLl5YXi94QYfQ61x3tYRQokQAEwiUrSNLmamezHtXsrGeW2VFEA+grhhuYao514PeaI8/Oj9I/JEebqJlJw4uNq5wtnOWafXEpoeCk83T8XUM315lWhaPwpfzMfT2Kcmb/UqDItiIZ2XDi83LyRxk3ROpjcloemheBj9ELNbWZ9hfv2z9fJ/j/UN//fo5e6FDlU7QCwVY/GdxUjJSzHhCguy5vEa2LJtVY5JLikcfHsQ/sn++Kf/Pzp3p0xoPAF2HDv4Jflh84vNZl7h1wsRKVZEJj8Ty+8tR81tNXHk3RG0rNQSEfMjsKj9IqvrmS3JiKQinAk6QzwqZuRd8jts9dlKAh/NBE3TuBBywWiPik+8D26E3cAf3f4w+GKZJ+YhX5yv0jjvaOMIoVQuUlgspZwUde1eBhjnKerzCGKxVAwOiwMpLf0sUtjqPSmMcR6Q/0yzBdmKIMfwzHDs99uPAScHIDYnFgDg5qA+zyQ+N17nVi9AfqFsaKuXRCbBm8Q3Jm31ehb3DEKp0OSm+cKIpCJc+XAFoxuMxvWw6zon05uSfW/2wc3BDSPrjyzW82ojOC0Yl0MvY3HHxSZp5U7kJuL4++Nmm/oVlRWFvW/2YknHJWpHd1s7WfwsLLu3DFOaTjGo3fVu5F38ePtH4lExE0SkWAH5onysfbIWtbbVwvZX2/FD+x+wqc8m+CT4YNm9ZSSQ0MTYsm2Jmd7M9K7dmyTTmxGKonBm1BmjzPQ0TWPJ3SVoVL6RUdONGL+GKuN8KZtSikqKLmGOuqxZFRQocFgcSGiJ4jw27E/tXhz1072UKyk8MQ9SWqoQKc0qNoP3JG/4J/tj44uNKGNfRmXII0NcbpzOrV6AcSIlOC0YfAnf5H6Uik4V9cp5MYT7UfeRLcjGyAYjsa3/Np2S6U0JX8zH0XdHMa3ZtAK5PtbA38/+RhWXKpjUZJJJjle9dHWzmul/f/g73Eq5YX7b+SY9bnHy+8PfIZKKsK7nOoP2X9xxMTHTmxEiUiyIWCrGbt/dqLO9DlY+WompzaYickEkVvdYjUXtFymS6effnE+EiokpPPUrMDXQ0kv64lBOpp90aRJ5D5uYwmb6h9EP9dr/XPA5PI55jE19Nhl111ZV2jzwqZJiq1RJUZrApRYtLfQqPSm0XLSxKTYkMomirUwx3YtdNCdFIpNAIBEUECnZgmwAKGCaZaZ+JXITIZAINIptfURKjiAHSXlJBosU5sZK80rNDdpfFXci76BXrV5m9zFcCJZ7qppWaFrATD/18lScCTxj1nMDwPng88jkZyp8oNZCbE4sTgacxI/tfzRpW3fhqV/M+9xYAlMDceL9CazosqKA+C9JBKYGYpfvLvzW5Tej/DTKZvpNzzeZcIUEYpy3ADJahnNB5/Drg18RkRmByU0nY2W3lUVSg5lk+sV3F2Nhu4UlerSfNcIIlRUPVpg0sZnwGUaoZAuyyZhsM8AIlV/u/oIG5RrovB9XyMXPd37GEK8h6FO7j1FrUOXXkMqkEEqF8navQpUUVYGMuiKDCpFCfa6kiKWfp4jZsGzUTvdiRgyrEilMJYWhfdX26Fa9G8KzwjVXUnLiMMxrmE6vw9jJXn5JfvB081SZ6WII6bx0vE16i/ltzHtHXCKT4FLoJUxvPl3x98QIFfdS7mjpYf5xxHvf7EXPmj1R162u2c+lD5ueb4KLnQtmtJhh8mMzQuX4++NwtTM+pBMAlt9fjpplamJ6i+kmOV5xQ9M0FtxagNpla2NBuwVGH+/3br/DnmOPLtW7mGB1BAZSSSlGaJrG7YjbaL2/NcZdGId67vXwbvY7HB12VO1F8qxWsxA+Lxy1y9aGRCYhd6NNjKu9K7b13wYnWyeEpoeS1i8zMMRrCL5p+g1omsaZwDOk9cvE2HHssKXfFpR3LI9EbiIeRD3Qus9Pt39CBi8DW/puMfr8TLuXeyl3xWM8MQ8AClRSGL+Joa1egJp2L1pJpMjECjFUOMxRuZLCiBRlk3uOMAdAUZHCrLl5RXnV4krolSI5KgKJAGm8NL3HD3u6eeq0fWHeJL0xab7Ig6gHoEGb3Y/yOOYxMvgZGNVgVIHHWRQLa3uuRZ2ydZAjyMG1D9fMcv7A1EA8i3tmdWOH0/LTsN9vP+a3mV9kmIOp8HL3wuoeq0FRFO5E3DGq9etF3Atc/XAVq7qtKrHDfC6GXMT9qPvY2neryV7Dkk5L0Lpya4ikIpwLMnxaIuEzRKQUE74Jvuh1vBf6nugLe449nkx7ovO41nKO5UDTNCZcmKBXMj1BP365+wvxqJiRDxkfMPnSZBL4aEbWPVmH/if7a/So3Ai7gX1++7CpzybUKlPL6HOm5qfCxc6lQH9/vjgfAApUUnSppGkzzqv67KNBy9u9WGx5JeXTMYpM95LoVklRdaeZGbGczkvHlMtTMODkgAJCJT43HoB+44erulQ16IJUIpPAP9nfpCLlTuQd1Hevj8oulU12TFWcDz6Paq7V0Mqjldpt9r3Zh6GnhyqS6U3Jvjf7UN6xPIbWs67RsTte7QBFUfi+zfdmP5dQIsR3174z2KNC0zSW3luKJhWaYHzj8WZYofkRSAT46c5PGFh3IPrX7W/y418KuYQx58cQj4oJICLFzHxI/4DR50ajzYE2SMlLwZVxV/B02lN0qtZJr+NQFIVetXrplExPMIyjw44SM70ZqedejyTTG8m6detAURQWLlyo8vmNfTZqNNOn89Ix/ep09KvTz2Q9+eqCHAGo9KQYg6ZWMaaSomj3YtsUraR8mu7FFXIB6NbuBchfY3nH8nAv5Y6bE2/CP9m/gFBRiBQdKykfMj7Ay91Lp20LE5oeCr6Eb9LWqPtR99GjZg+THU8VUpkUl0IvYWT9kRoF648dfiyQTG8qBBIBTrw/galNp1rV3X+emIedvjsxo/kMuJVSPz3OVNhx7OA9ydtgM/3tiNt4FPMIa3qsKbFh0ptfbEZ8bjw29TGPf2Rso7HETG8iSuY7rASQkJuAmddmouGuhngZ/xKHhx7Gu9nvMMRriMG9+dqS6QnGUdhMT4SK6VFOpidCRT98fX2xb98+NGnSRO02hc30ykJFIpNg3PlxEEvFODjkoMk8Qsl5yajoVLHAY0wlRXm6l7YqCaC92lL4M4/5f1WelMKVFJ6Yp7GSkiPIAZtiFzEB0zRdIKySMdMrCxUmbb6KSxWtrxEAwjLDULesYZ4IhWm+omlM83E5cYjIijC7SHke9xzJeclax/4WTqY3lVC5FHIJWYIsfNv8W5Mcz1QcfnsYWYIsLGq/qNjOWdhMr6tQkdEyLLu/DB2rdsTAugPNvErzkMRNwtonazGvzTyDbxTogrKZnggVwyEixcTkCnPx6/1fUXd7XVwMuYgNvTfg47yPmNpsqsE5BMooC5WLIRdNsGKCMoxQaVGpBbgirqWX80XCCBW+hA+JTGLp5ZQI8vLyMHHiROzfvx9lymjOI2CESv+6/QtM8vnR+0dFsryHs4fJ1pbITSxyPEUlRSknBTC+mqLKOE/TNEBBkY/CiCEblo1iupdUJoVIKiriSSlcSSltX7qIUMoWZEMikxSoFjFChaIoiKQixOXGwc3BTacpRzJahvDMcKP8KHXL1i0whcwYHkQ/AAUKXat3Ncnx1HEh5AIqOVVC+6rttW6rLFQy+ZkmOf/BtwfRuVpns16Y6otUJsVmn80Y3WB0sQ9vYYSKq52rwkOmjUshl+CX5Ie1PdeW2EEoy+4vgz3HHr91+c3s52KESgYvg9xUNhAy3ctEiKVi7HuzDysfrQRXxMUP7X7A4o6LTfZFoszMljPRoFwDdKza0eTHJsiFyt3Jd0FRFKQyKSKzIq1uEkxJZ4jXEAz2HAyKohCRGYFqrtU0Tk762pk7dy4GDhyIXr16YfXq1Vq3t+PY4eKYi6AoCjk5ckP4Ef8jODjmILrX7G7StSXlJRXJ1lB4UmwLelKYNHh16OtJoShKYcRnRg8zMMZ5e449+BI+ABSppCiHOeYIc1S2eqlLm29ftT0eTnkIiqIQkhais/BLyE2AQCIwvJKS9MakrV4Poh+gSYUmZm01ktEyXAi5gBH1R+gsVFkUC3sH7VVcDH9IN7xFLjIrEvei7uHI0CMG7W8uLoVeQmRWJM6OOmuR83u5e+HZt89AURSy+FkQy8RF3ucMUpkUKx6uQJ/afUrsBKs3iW9wxP8Idg3YVWzhk793+x00LffNGfMe/loxayVFLBVj7vW5iMiMMOdpLApN07gUcgmNdjfCvJvzMNBzIMLmhWFNzzVmESgMnap1AkVRuBJ6BT94/0BUuolhvhjXPV2HNgfakNYvM0BRFPhiProc6UICHzVw+vRp+Pn5Yd063cLGhEIhcnNzweVykZOTg3FnxwEApjSbYpZWlyRuUpGMAcV0r0KVlMJCQl+KtHspTQpjKtWqjPN8cUGRwhVxQYEqkECfLchW+ZnN5MCounijKAoyWoarH68igZtQZOqXKj5mfAQAg258SGVSk5vmH0Q9QPcaphWuhfFN8EV8bnyRqV7aYD6H70fdR4NdDQwOfDz89jBc7Fz0Pr85oWkaG55vQPca3Ytl9LI6mJ/xN5e/0dj6dTrwNILTgvFn9z+Lc3kmgxk53Kh8I3zX8rtiPTdzI2OR9yLSPaAnZhUpWYIs3Im8g+5Hu3+RQsUn3gddjnTBiLMjUKN0Dbyd9RaHhx7WuS/ZFKTmp2KLzxYS+Ggm5rWZRzwqZsTBxgG7B+4myfRqiIuLw4IFC3DixAnY29vrtM+6devg6uoK1zKuKD2xNG5F3gIA/Bvwr0HJ9Jrgi/nIEmSpb/dSqqTQNA0Oy7jivcp2L9CgQCkEECNclI3zjGhiREmeKA+Oto4F7uoz7V6FYS7ayjmWK/IcIL/jX65UOXCF3CJTv1QRlhkGNsVGzdI1tbzaooSmh4In5plMpERlRSEmJ8bk1bXCnA8+j3KlyqFztc4G7d+tRjdMbz7doGR6qUyKw/6HMb7ReDjaOhp0fnPwJPYJXiW8ws8dfrb0UgAAG3tvVOtREUvF+OPRHxjiNQRtKrex0AqN41zwOTyLe4bNfTYb/TlkCPXL1ceVcVcscu6SjFlFSnnH8ng49SHsOfZflFCJyIzAmHNj0P5ge+QKc+E9yRvek7zRtGLTYl/Ldy2/I8n0ZoSY6c2PcjI9ESoFefPmDVJTU9GyZUtwOBxwOBw8evQI//zzDzgcDqTSotOuli5disjkSPQ+1BvsNmz83eNvAED3mt3VTv0ylOS8ZABAJaeClZQCxnnpZ5GizZenj3GeAgWaphWPFW4jYqZ92XHsVLZ7FR7/myPMUTt+mEWxUNahrNp1ZQmyML359CJTv1QRlhGGmmVqGtTe+CZJ/vnTolILvfdVxYPoB2BRLLO279A0jQshFzC83nCDfZmFk+n1ESreEd5I4CZgenPrCh3c+HwjGpZriH51+ll6KQA0m+mPvjuK8MxwrOq2yoIrNBy+mI+f7/yMwZ6D0bt2b4utg7Q064/ZjfMezh4FhIoxAUKWJoOXgYW3FqL+zvp4Hvcch4ceht9MP6MTm41lVqtZCqHy5+OSWYq1ZpSFyvH3xy29nC8SRqjcj7qvaIchAD179kRAQAD8/f0Vv1q1aoWJEyfC398fbHbRi74nCU/Q8URH+KX44fqE65jVVh5cd3z4cfSu3Rv7/PaZbH1JeUkAUKTdK1+UD3uOPVgUC0KJELZsW0hpqfGVFFpF4jzk1ZPCIoURLwUqKUrGeWU/CqC5klKuVDm1XgqemIdMfiY6VusI70neCE4Lhm+Cr9rX8DHzo8F+FL8kP9QpW8ekpvnmFZurfN2m4m3yW0RlR2FkA81TvbShLFR2v94NqUz9OGplDr49iCYVmmjMZiluQtJCcO3jNfzU4SerMqAzQiWLn4W7kXcByHNVVj1ahTENx1jkRqwp2PxiM5K4SWYbOUwwH8VSd2KEyhH/I0Xm6ZcEBBIB/nn5D9Y+WQsZLcMf3f7AwnYLdZrkUlzMajULjraOBpfTCZpxtXfF3W/uKv7O+WJ+gX52gvEM8RqCqAVRcLFzUVRTvvY7T87OzmjUqFGBxxwdHeHm5lbk8fjceCy5uwSnAk6hV61eODrsKDycPZCbmwvg89Qvph3KFO/hRG4iABRt9xLnw9FG3lojlMpbriQyiVZPij7GeQpy07zCOP/pLn3harIqT4rKSopAtXE+LT9NrZkYgGL8cFWXqmhftT0iF0TCxc4FNE1DIBEU+RmHZYShb+2+Gl+nOkyZNE/TNB5EPcD4RuYN5LsYchFl7MuYxPfCCBWemAc2i631PZyan4qrH65iU59NViUGNr3YBA9nD0xoPMHSSymCl7sXQr8PhYudCwBgp+9OJHATsLLbSguvzDASuYlY93Qd5redTwbglECKbQSxh7MHlnVeBoqicCPsRolo/ZLRMpx4fwJeO7yw/P5yTGoyCeHzw7Gs8zKrEigMk5pMQvXS1ZHJz8Sm55tI65eJcbJ1Aoti4WnsU9T+pzZp/TIDzBfj1CtTSY6KjiRxk7Ds3jJ47fDC3ci72D94P7wneaucNmXHsYM9xx6h6aGo/U9to1u/krhJsGPboYx9wUk5+aJ8Rf+/UCI3r0tkEqPHsCsb5RmY6gqr0NcZ87g9x76IJ4Ur4hYRKdmCbNXtXrxUtX4UAIjL/SRSPgU5Mu/hZfeWoe+JvgVavyQyCSKzIg0aPyyVSfE26a3JREp4ZjgSuAlm96NcDr2MQZ6DTHbDgUWx4GTrhJS8FDTY1UBjjsqxd8fAoliY2HiiSc5tCpLzknH8/XHMbzPfqkIllWHew1t9tmLJ3SUYVX8U6rnXs/CqDGPpvaVwsHHAr11+tfRSCAZQ7DkpEpkEi+8stnqPypOYJ2h7oC0mX5qMVh6tEDQnCDsG7NB4R81auB91Hz/d+YkEPpqJxuUbo5prNeJRMSNjG44lgY9qePjwITZt3oQnMU8w4+oM1NhWA9tfbcf3rb/Hx+8/YkaLGVrHvNYsXRMtPVoa7VFJyktCRaeKRe5S88Q8gyop2ijweUYBoD89RgMslvw1M+KE+d2OrZsnRV27V1p+GtxLuatdE1NJqexcucDjQ7yGFPGoxObEQiwTG3RH92PGR+SL8002CepB9AOwKbZZq+9hGWEISgvC8HrDTX7sco7l0LtWb7WBjzRN4+DbgxhRf0SxJLnryvaX22HLtsWsVrMsvRStJHITIZFJ8Db5bYls1fdN8MWxd8ewuvtqs7Y0EsxHsYsUDouD25NvW62ZPjIrEqPPjUaXI3Ij4ZNpT3BhzAWDg7cswagGo0gyvRkhZnrzQ5LpiyKWinE/6j7mXJ+Dypsro8uRLvCO8Maf3f9E3KI4/NX7L529CpqS6fUhkZtYxI8CfGr3+lRJEUlFOldStLXkFJ7uRSv9xwgzptqiECkc1Z4UZZEikorAl/BVXsik89I1tinH5cahvGN5RbI9g6pkesX4YQM8KYxp3lRJ8w+iH6CVRys42zlr39hArny4AnuOvVl8m9qS6V/Ev0BoeqhVGebzRHnY/Xo3ZraYafUXzVwhF4feHsLYhmPBFXFLnKeYpmks9F6IxuUbY3oL63kPEPTDIonzhc30kVmRllhGAXIEOVhyZwnq76yPF3EvcGzYMbyc8RKdqnWy9NIMQjmZfuGthZZezheHslCZdmWaWkMvwXCUhYqh+QglFa6QC78kP5wOPI3l95aj25FucF3vip7HeuJ62HVMbDwRz759hpiFMVjccbFBFzzKQmXK5Sk6p04rk5SXpLKtrIAn5dMYYLFMbHTivKqcFOYxxs8io2WgQCnyCOzYnz0pyiOICwQ5CuSBl6pEXgY/Q2MlJT43HlVdqqp8TlmobHy+EWEZYbBl26KaazWdXq8y/sn+qFm6pklC6Bg/irnzUS6HXkaf2n3MNvpXWaj87/r/kMRNUjx3wO8AapSugR41e5jl3IZw6O0hcEVcLGy30NJL0cq2l9uQJ8rDxj4bFVO/frn7i6WXpTNngs7gedxzbO23lYz9LcFY7G+OESrTr0636BtIIpPggN8BrHiwAvnifCzrtAw/dfjJquapG8rMljMBqJ+IQzAORqhk8DOMvvgiqGaI1xD4fueLJhWaWHopCmiaVlwcq/sdkF9AS2VSiKQiiKQiCKVC5IvywRVxkSfKA1fIRa4wF+m8dKTmpyIlPwWRWZEIywxTjPYF5ON921dtjz+7/4muNbqiZaWWJjMBM0IlIivCIJ9dEjdJ5fjafFG+4nhMoKJYKgaH0vxZr804r/xZRoECaPljypUUGS2DDdtGkWzPVFJsWDaK7xqusKAnJVuQDQBFxB5N00jnpWtu98qNU/hRVNG+anu8mP4Cdd3q4qfbP6F2mdoGeXP8k/3RrGIzvfdTRWh6KFLyU8zqR0nJS8HzuOc4OOSg2c4BfBYqc1vPVVT1uEIuzgadxZKOS6zms1kik2CLzxaMbThW4/vFGsjiZ2Hj842Y3Wq2IvftybQnqOBYwcIr0w2emIfFdxZjWL1hViVSCfpjUXnp4eyBmxNvAgAy+ZnIEeSgZhn9A64M5XbEbfzg/QOC0oLwTdNvsLbHWlR2qax9xxIEI1QA4G7kXfSs2dOqppyUdFztXeFq74pcYS7GnR+HP7v/adH04C8RZuzltQ/XcCrgFLb22wqemIdsQbbiV44wR/FnrpALvoQPvoQPgUQAvlj+Z7740/9/+rNYJoZUJoWUlkJGyyCVffqdlqr8syrTtilwtnVGecfyKO9YHjXL1ESPmj3g6eaJumXroq5bXbO3hdhx7NCgXAOIpCJMvjQZ3zb7Fn3r6DZ9KoGboLaSwqxbuZJiauO8YroX/TknhaZpRdo88NmToizCCrd75Qg/VVIKGefzRHkQSUUaRUoiN1Grr6Nh+YYAgFcJr5DJz1TpidEETdN4m/wWC9ou0HkfTex9sxcsioU7EXdwPvg8fmz/I7zcvUxybIZrH6+BoigM8hxk0uOqgkWx0LRiU8hoGeZenwuhVAiemIepzaaa/dy6cj74PKKzo3F57GVLL0Urm15sglgmxi+dPldO6pStA0Dujfr+xvc4Pvw4KjhZp2jZ9HwTkvOSsaH3BksvhWAkVlMD+9/1/+FF3As8mPIAtcvWNuu5QtJC8NOdn3Aj7AY6VesE3+98rWqGujl4l/wOvY/3xvetv8c//f8hQsXE0DSNTH4meh3vhbuT7xKhogc0TSNHmIO4nDjE5cYhiZuElPwURXUhNT8VKXkpiMuJQ64oF6eDTqs8jqONI1ztXeFs64xSNqVgz7GHg40DHDgOcLFzQQXHCvLHOA5wsHGALdsWLIoFNsWW/85ia/x/iqJAgdL5d0A+FteObQdbti1s2bZwsnWCs50znGyd5H+2dS7iZbAUNE2DJ+Zh6OmhuDLuilahkifKQyY/E9Vdq6t8jrkDy1RSRFKR8TkpsqKeFEZAKrd72bBsIJAIAHyupCiPqi0sEtRVUtJ56QCgUaQk5KoWaqqIy41DliALA04OwI2JN3QWKvG58cjkZ5rMj/I09inKlSqHzT6bQdM0VvdYbZLjKnM59DI6VeukcTKaOZDS8oT5JuWbWE3FgqZpbHi+Ab1r9bb6rJG0/DRs9dmKeW3moaJTxSLP0zSNgNQA9DjWAw+mPLC6YUIJuQlY/2w9FrZbqBBWhJKL1YiULX23oNuRbuh+tLvZhEoGLwN/PPwDu1/vRjXXajg3+hxG1h/5VVywN63YFHsG7sHs67MBgAgVE8O0fvU90ZcIlULQNI0MfgbCMsIQnhmOqOwohSCJy41DbE5skYRuNwc3VHCqoKgwNCzXEOUdyyOJm4R9b/ahQ9UO+Kv3X3Av5Y7S9qXhauf61WeqGAvT+jXq3CidhEpsTiwAqPRXcIVcheeDme6liydFa+K8imoWkzrP7CuVSeWVFIm8ksKMIC5cSVE2jDOeFH1FilAiRAY/o8hkL1WIpCIk5yXjp/Y/Yffr3XoJFf9kfwAwSbuXjJYhOjsa37X4Dhueb0CD8g1MfqHJFXJxJ/IO/ur1l0mPqw0WxcK8NvOw328/AlIDcOzdMXzT9JtiXYMqHkY/hF+SH7wnGTfyuzhY/3Q9WBQLP3f4WeXzTOBjt6Ofr9esSaj8cu8XONo4Ynnn5ZZeCsEEWI1IYTwq5hAqIqkIO1/txKrHqyCVSbG251rMbzsf9hx7kxy/pMCMPCRCxTwoC5Xex3vjw/cfiv0uoiVJ56XjY8ZHhGeGIzwzHGGZclESlhGmaKcBgAqOFVDVtSqqulRFr5q9FH9mfq/oVFGj4Ohbpy9GnR2FfwP+xbb+24rjpX01FBYqb2e9Rf1y9VVuq1GkiJREiuSzJ8Xodi/lMEeKAk3LKykyyBSfZTLIirZ7ifmKyV5iqRhCqVBlJYXJh2BgRIqbg+oRtkl5cqO2LpWUqKwoyGgZ+tXph2H1hqHvib6YfGkyLo29pHXft8lvUdahrKI6ZQxBqUGKYQBSWmoW8/yt8FsQSUUY6jXU5MfWxmH/w3B3cMeQekMw9fJUVHOthm41uhX7OpTZ8HwDmlZoit61elt0HdpIyE3Arte7sKTjEo1jm5WFysBTA/Fyxkur8P68jH+JE+9PYN+gfTpPOiRYN1YjUoDPQqXH0R54HvfcaJFC0zT++/gffrz9IyKyIvBdi++wqvsqq1L9xQ0jVE4GnFSZhkwwDkaoXA+7/sUKFJ6Yh6DUIASkBiAwNRABqQEISAlASn6KYhsPZw/ULVsXTSs0xaj6o1CnbB3UdauL2mVqGz2UYojXEFwZd0XtxTPBOBihcjLgpMYAt9icWLAolkofH1fIVVQqhFIhnG2d5Z4UIxPnCw8BYaoowOcwR6lMChu2jaKSwrR7KWekACgiUpxtnYuIKIVIUXPBlpCbAEA3kaIYP+xWF1VcqsB7krfOn7/+yf5oXrG5SW4qPYp5BBuWjeK1mcNYfPnDZTSt0LRYPaaAXBAfe3cMU5tNxd+9/0aHKh0sPqEzMDUQN8Nv4vjw41Z/U3Dtk7UoZVMKi9ot0rotI1QSuAlWIVCYkcNNKzTFt82/tfRyCCbCqkQKIP+w95/tr6hy5AhyDFLEIWkhWOi9ELcjbqNXrV64MOYCGldobOrllkhmtZqFGS1mgM1iIzkvGRUcK1j9h2dJwtXeFRMaTwAA7H29F608WpXI1i+aphGZFQm/JL/PYiQ1ABGZEQoPQO2ytdG4fGPMbDkTjcs3hpe7l0mEiDb61+0P4PMUmj+6/UHavUyIHcdO8UV/IfgCnGydirR+xebEorJz5SI+E5qmi1RS3Eu5I1uQbfwIYhXGeRktKyBepLRUpXFeefwwgCLGeXUZKaVsSqmdfJbITQQAnQauhGWGwYHjoBA07au2BwAIJAKserQKyzovU9v65Z/sjxH1R2g9hy48jnmMNpXb4GncU7AoFrpW72qS4zKIpCJc/3jdImN2r364igx+BqY3nw4WxVLkYzyOeYyY7BhMbjq52Ne01WcrKjtXxtiGY4v93PoQnR2N/X778Wf3P3W+5vJy94KXuxekMilWPVqFuW3mWuwm8L+B/8In3gcPpjwwumJLsB6sTqQAUAiUva/3Ys2TNXq1fmULsrHy4Urs8N2Baq7VcHnsZQzxGkIuwgvBZrHBFXLRcl9LjKw/Etv6bSM/IxMjkUlw5N0R/HLvF6v3qNA0jQRuAnwTfPE68TV8E+W/ZwmyAMhbtBpXaIzBnoPRqHwjNC7fGA3KNbD4qG6/JD9seL4BHzI+4N+R/xKhYmJomsbJgJO4EXajiEclNidWZauXUCqERCZRtE4pPCk6tHtp9aSoyEmRQVbEk2LD+lxJsWXbyo3zHPUiJVuQbVBGSgI3AQ4chyJTwVQRlhGGOmXrFBFqYRlh2PFqB57GPlXpUckWZCMqO8okfhSapvE45jEmN5mMf179g2YVm5kkd0WZR9GPkCPMwbB6w0x6XF045H8I7au0L1JlvRB8AdtfbYeMlmFKsynFtp7U/FSceH8CK7uttPrPpj8f/YkyDmXwfZvv9d43KS8J+/3243zIeYt4VHhiHpbcXYLh9YZbvLWPYFqsUqQwDPYajE0vNunkUZHKpDj09hCW318OnpiHVd1WYVH7RV+d70QfnO2c8XvX3zHrP3kLGBEqpoXD4uDWxFtWaabnCrl4Ef8CPvE+CkHCZHNUcqqE1pVbY1G7RWhduTVaVGphtS2SPWv1xPkx5zHq7CiMvzCeCBUTQ1EU/h35r0ozvTqRwhVyAeBzu5cpwxwLV1LozyKFQSKTwJZtC4FEAFu2LSiKKtDaqm8lRdv44coulXX63PyY+RGebp5FHm9cobHCy6bKTP8u+R0A0yTNh2WGISU/BWUcykAkFaFHjc+tXkncJPxw+wck5yUjV5iLfYP2GfR5dTn0Mqq7VkfTCsU7xSohNwG3I25j76C9RZ7b0m8L+BI+pl2ZBgDFJlT2vN4DNouN71p+VyznM5SwjDAcfXcUm/psMujGUxWXKngw5YHFzPRbXmxBSl4K/u79d7Gdk1A8WL6RUAOFk+kjMiNUbvc09ila72+Nmf/NRL86/fBx3kcs7byUCBQdUE6mX3BrQZE7lQTjUE6m73W8F96nvLfIOpLzknE++DwW3lqIlvtaovRfpdH3RF9se7kNIqkI05tPx+WxlxG/KB6JPybiyrgr+K3rb+hXp5/VChQG5WT6CRcnkPewiVFOph96eijuRd4DAMTkxKgcP8wVfRIpytO9PhnnjRUpRTwpUDLOf/KzKLd7Md8BfMln43y+OB+AfGQ1Q7YgW2U1RJtIUZcTo4qwjDDULVtX5XPKyfQDTg5QVIEAeauXHdvOJDkmj2Meg0WxkMnPBABFmGNQahBmX5+NXzv/ih41esAvyQ/H3h3T+/gyWoYrH65geL3hxX7D68T7E7Bj22F0g9FFnlNOpp92ZRpOBZwy+3qEEiF2+e7ClKZTUNahrNnPZwx/Pv4TFZwqKDyrhsB4VDL5meh+tLviPWZukvOSsf7Zenzf5nsycvgLxKorKUDBqV+/PfgNp0Z+/nCJy4nD4ruLcTrwNFp7tMbzb58r+nwJusMEPi7yXoQ5redoNMsS9IcRKkvuLlF559nU0DSNsMwwPI19iiexT/A09inCM8MBALXK1EKnap3wv1b/Q6dqneDl5vVFVM8YoZKQm/BFvB5rgxEqP3j/oOhBj8+N17uSYsP6XOWiQBWpjGgzzqsL1FQWL2KpWGGct2PLM2gEEoFCsOSL5CJF2WeSLchGVZeimRrpvHSNfpNEbqJOIoUv5iMuNw513VSLFOCzULkTeQe2bFvF42+T36JxhcZGZ8wAcpHSvGJzPI97Dg6Lgy7Vu+BF3AscfHsQp0eehoONAw6+PYiKThUxvvF4vY//OvE1ErgJxd7qRdM0jrw7ghH1R6j1UzBCpbR96WKp8pwOPI2U/BSTBXCai48ZH3Ey4CS29dtm9I1dRqjsfbNXpxZIU7DiwQrYsm3xW5ffiuV8hOLF6kUKIBcqj6Y+Unzp8UQ8bHqxCeufrYezrTMODz2Mb5p+YxUTJkoqM1vOxBCvIajoVBFSmVQRXkcwDa72rtgzaA8AIDIrEtmCbLSo1MIkx6ZpGuGZ4bgTeQf3ou7haexTpOanggKFphWbol/tfujcozM6Vu2ok8G3pDLEa4jiz1dCr2BA3QGk9cuE2HHssHPgTgBAQEoAJDKJ2vHDQNFKikgqgpON7inrqlBXJWMet2HZQEJLFJUUJiizgEhhKilKbS05ghw0Ll90sEo6L13jBW0iNxEtK2lviYrMigQAtZUUhvZV2ytutN0Kv4VO1TrBP9kfbSq30XoOXXgc8xiDPQdj7xv5QI9zQecQnBaMfYP3Kb4/N/fdjM19Nxt0/Muhl+Hm4IaO1TqaZL268irhFULTQ7G9/3aN27EolqIlKF+Uj8cxjxVDOEwJTdPY4rMFA+oOMEkFzJz8+fhPVHKqhBktZpjkeF7uXor3z5OYJ/B08zRbMv37lPc4+PYgtvTdYnJvFcE6KBEiBQAqOVcCTdPY9nIbFt9ZDJlMhkXtF+HXLr8WmW1PMIyKThVB0zSmX50OZ1tnkqNiJpbcXYK7kXeN8qhk8DJwL+oe7kTcwZ3IO4jJiQGHxUHbym0xo/kMdK7eGe2rtP8qZ8VHZkVi9LnRGFpvKE6NOEWEihlY82QNAHmCemFyhbkAVFRSpGKwWEaGOaoRKUwlxYZtA5FUpDDOM5UU5ZwUnpgHQPd2L3Xjh2ma1jltnhEp+gyAGX9hPBqWa4jA1EBFtdsYYrJjEJMTg7IOZSGWifE68TWEEiFWdlsJsVSsEHTGcDn0MgZ7DTZJ1UcfjvgfQRWXKnplvuz3248fvH/AkWFHTB74+DD6Id6lvMPGPhtNelxT8yH9A04FnMI//f4xeXu8WCrG1CtTYc+xN4tHhaZp/Hj7R9QpWwf/a/U/kx6bYD2UmNJDQEoAeh7riYW3FsKGZYNyjuUwq+UsIlBMDEVRaF+lPXb47sD8m/NJf78ZODD4gMKj8ibxjU77CCVC3I+6j6V3l6LVvlYot6Ecxp4fi2dxzzDUayiujb+GzMWZePrtU6zpuQb96vT7KgUKIG9pOz/mPK6EXsGEixMglootvaQvjkF1BwEAFt5aCO/wginainavwp4UmRjUp/8MRVu7lw1LLlI0VlJE+bBh2RQQr9mC7CLGeZqmNXpSuCIu8sX5OqXNR2RFwJ5jj4pOFbVuCwCl7UvjxoQb8E/2h5SWwsvN+LvxT2KfAIBiYt+/I//Fym4rsfbpWlTdUhXXPlwz6vgf0j8gJD0Ew7yGGbtUvRBIBPg38F980+QbvUbPzm87HzNazMDUy1MN8t9oYovPFjQu3xg9a/Y06XFNDVNFYUY1mxIbtg1uTLih8Kik5qea9Pg3w2/ibuRdbOi9gdyI+oKxepGSLcjG/Jvz0WxvMyRyE3Fz4k18nPcRTrZOGs30BMOZ1WoW9gzcQ4SKmShsplclVGiaxof0D9j8YjP6neiHMn+VQc9jPXHI/xC83L1waOghxC2KQ/DcYGzrvw2DPAcp7lwTPntUvmahsnPnTjRo0ACtW7c2+bET8xLhbOusMNMrCxWm3YuZUFWgkkKxFG1FhoiVwsZ55cdp0LBh20AsFSumeyl7UpjpXvni/AKtXjJahlxhbhFRnyPMgZSWqhUp+gQ5RmZFombpmnq1JLev2l7hZ1jxcIViKpmhPI55jIblGuJlwkvYsm0xsO5ADPYajAdTHoCiKMz873O1hifm6f1v5sqHK3DgOKB37eJNVb8SegU5why9J3Ypm+lNKVTCMsLw38f/sLDdQqvuRAhND8W/gf9iWedlZhsyVNhMbyqhIpFJ8NPtn9CtRjcM9hxskmMSrBOrFSkyWoYj/kfgtcMLh/0P469ef+H9/96jX51+BaZ+DTw1EBKZxNLL/eJQFir/Bv5r6eV8cTBCpUmFJooPbpFUhLuRd7Ho1iJ47vBEvZ31sPz+ctCgsar7KvjP8kfSj0k4OeIkpjabiiouVSz8KqwbRqhk8DIUwX5fE3PnzkVwcDB8fX1NfuyIzAjUKVsH50efR986fRWhhoC8klLKphTYLDZomi7gSaFAGeUdLFBJUfpj4UqKDdumyHQv5UqKsmk+X5QPGnSRdq8MXgYAqBUpzGvWVaTo2uqlDFOpkcqkCsO/oTyOeYx2VdrBL8kPbSq3UYg2psIjlUkV2y65s0TRoqYrVz9cRZ/afdQGX5qLI++OoEPVDirHO2tDWajE5sSaZD3/vPwH7qXcFYG+1sqfj/+Eh7MHpjc3fRVFGUaoOHAckC3INskx97/Zj9D0UGzqs8mqhSDBeKzSk+KX5Ifvb3yPF/EvMKHxBGzovaHIFwEjVCIyI4q9//VrYVarWfB080SX6l0svZQvEld7V5wZeQY3w29i5JmR8I7wVlyUDPIchC19t6BHzR7F/qX/JTHEawgGew4GRVGIzYlFJadKpDXABIRlhqGuW13YcexweexlxYVCZFYkuCKuog1XLJPfjbdl28rbvSgKbBZb8bi+aPKk0DQNDosDsUxeSRFKVLd78cS8An4UxkNTuHU4nZcOQL1ISeDqXkmJyIpAn1p9tG5XmPcp79GuSjucG30OFEUhJS8FjraOapPp1ZGSl4IPGR8w1GsoJDJJkZT5sIwwxThiqUyKj5kf9TJ8p/PS8SL+BfYN2qfXuoyFyUbZM3CPwcdgUSzsHbS3wHu4VplaBh0rW5CNw/6H8WP7H606AiE0PRT/BvyLnQN2msSLpA0vdy/4fucLiqLAFXLBl/AN9qjkCHKw4uEKTGk2xWTDZwjWi1VVUjL5mZhzfQ5a7WsFroiLh1Me4uSIk2q/BDycPdC5emdIZVL8dPsn0vplBrrX7A42i427kXfx8+2fSeuXCQjLCMPfz/5G+4PtUWlzJUy/Oh2vk15DSktxasQpxC2Kw55BezDIcxARKCaAoigIJUJ0PdIV4y+M/ypbv0xNeGY46pSRZxIwF3dnAs+gwc4GeJ/y/rMf5VPeB9PuRVHGVVLUtXtJaXkVoIBx/lPSvYyWQSQVFchJUW73MlSkJHITUca+jKIioWnNUVlRel/40jSN9ynv0aRCE1AUBZqmMfT0UAw4OUDv1i/Gj8K81sKp3A3KNVCMPd7vtx8TG0/U6/g3w25CRsswoO4AvfYzlhPvT8CWbYsxDccYdRzmPfw09ik8t3viqP9Rg45zwO8AxDIx/tfauo3cqx6tQhWXKvi2+bfFdk7mZ/zt1W+Nav1a+2QteGIeVndfbcrlEawUqxApMlqG/W/2w3O7J04GnMSWvlvgN9MPXWt01b4z5EbAqx+uEo+KGYnOjsbGFxtJ4KMB0DSNt0lv8dv939BoVyN47vDEHw//QEWnijgy9AhSfkrB+9nv0bRCU8y5MQd+SX6WXvIXhx3HDtv6bcPVD1eJUDESdZkfw+oNQ+/avXE59LKiLYtps1M2zpuq3Uv5zzJaBhktK2ic/1RJEUgEAFBgBLE+lRQ3B9XTvZi0eW0kcZMglAr1bvdKyktCBj8DTSo0ASC/yNvSd4si8FEfofI45jFql6mN8o7l0aJSC3Su1rnA82dGnUFsTiw6H+6M6OxoTG4yWa+1Xvt4Da09WqOScyW99jMGXbJR9KVD1Q74tvm3mHZlmt5CRSKTYPur7RjfaLzOAxIsQUhaCE4HnsayzsuKpYpSmNXdVxvsUYnKisLWl1uxuMPiL3qcPuEzFhcpvgm+aHegHWb+NxMDPQfiw/cfsKDdAr1aMtxLueuUTE8wnBktZpBkej2Q0TI8jX2KRbcWoea2mmixrwV2+O5Ai0otcHHMRaQvTselsZcwpdkUlHMsp5OZnmAcysn0RKgYTkSW/PO1cLozE/hYwakCIjIj4B3uXbSSAgosI752NLZ7FTLOM5WUwiKFJ+YVqFBqEinOts5qL+R0TZtnvB36VlLep7wHAIVIAYom0+sqVB7HPEaX6l2wsvtKvJn5pshrql22Nt7MfIMn055gfa/1evX5i6QieEd4F7uBmclGmdp0qsmOWTiZXh+hcjHkImJzYrGo3SKTrcccrHosr6JMazbNIuc3xky/9N5SuJdyx08dfjLjCgnWhMVESjovHTOvzUTbA20hkorwdNpTHB121OA7EMpm+u5HuyOJm2TiFRNmtpypECorH6209HKsDpqm8TL+JX7w/gHVt1ZH58OdcSboDAbUHYA7k+8g9adUHBt+DMPrD1fZxqUsVPa9Kd7e7q8FRqjcibyDwNRASy+nRBKeGQ5AdTChHccOzSo0QznHctj6cqtCIDDGeQBas1I0oW4EMWP6VhjnWTby6V5KlRTFdC+R6navwtPxNI0fBnRPm2dEXc3SNbVuq8z7lPdwsnVCjdI1CjzOCJWA1AA8jX2q9ThZ/Cy8T3lfxIdiKp7EPEGuMBeDPAeZ5fjqYLJRetTsYdLjKguVLT5bdL6ZscVnC7rX6I6mFc2fZm8owWnBOBN4Bss7L7dIFYWBESpZ/CydR1+/iHuBM0FnsKbHmgL/fglfNsXuOJfKpNj3Zp9iatH2/tsxq9Usk5jfGaGy23e32RJOv3ZmtpwJe4492lVpZ+mlWAU0TeNt8lucCTyDs8FnEZ0djQqOFTCqwSiMazQOHap20Ku9xdXeFXcm31FcUCmbfwmmYYjXEEQviEYZhzKQyqTyNiFipteZsIwwONk6qTW+8iQ8dKveDYeGHlJMTOKwOAqBoRhBTFFQoznUolxJUf4zU0kpbJy3Z9uDL+YDKNjuVdahrGJfhUixLSpS1AU5AnLTti45GJFZkfBw9tDqXSnM+5T3aFy+scrPj/ZV2yNyfiTKOJQBTdMQSUVqPyeexz0HDRqdqnXS6/y68t/H/1DZuTKaVWxmluOrQigR4kzQGcxqOUuvbBRdYYQKV8iVT4rT8jnsE+8Dn3gfXB131eRrMSWrHq1CVdeqmNbcMlUUZbzcvRA0J0iRFK/pZ0zTNBZ5L0Lzis1NHrxJsG6KtZLyIu4F2hxogzk35mB4veH48P0HzG0z16TTuTycPfBnjz/Boli4H3WftH6ZgW+afgNPN09whVxs89n2VbZ+BaYG4tf7v8Jrhxda7muJg28Pok+tPrj3zT0k/JCAHQN2oFO1Tgb13zvbOYPD4sA3wRd1t9clrV9mgPli/N/1/321OSqGEp4Zjrpl66ptCeIKuShtXxqOto4IywwDAIXPiqIoo3wpao3zMqliupfyCGKVnhRRQU8KV8SFA8ehiFBN56uvpMhoGZLyknRu9zJkWlRAakCBVq/CMO/h1Y9Xo/fx3mpbv57FPUMFxwoGT6zSBE3TuPbxGgZ5DirWUbDXw64jS5Bl1gtWFsWCq70rMngZaLKnicYcla0+W1GnbB0M9ByITH4mplyegk6HOuF88HmzrU9fglKDcDboLJZ3Xq4YkmBpmPfw4beH0Wp/K7WtX2eDzuJlwkts6rPJKE8boeRRLH/bqfmp+PbKt+hwqAMA4MX0Fzg49KDBI+h0QSqTYpH3IuJRMSN3Iu9goffCrybwMTwzHKserULDXQ3ReHdj7PTdiU7VOuHWxFtI+jEJewfvRY+aPUx2Z8/TzRMezh7Eo2JGBnkO+qoDHw0hLDOsiB9FGa6Iq2idYnweS+8tVTzPolgGp86rTZyHrIBIURjnlTwpzHQvVZ6Uwn4UQJ6Tok6kpPPSIZFJdE6b11cgiKQihKSFaBQpDL1q9dLoUXkW9wwdq3U0i4gITQ9FRFZEsftRjr8/jpaVWqJ+ufpmP1cZhzLoWr2r2sDH2JxYnA8+jwVtF0BGyzDo1CDUKVMHj6c9xrngc2Zfn66serwK1VyrYWqzqZZeShE6VO2AdF66So+KUCLE0ntLMdhzsGJMNuHrwawiRSKTYPvL7fDc7okrH65gz8A9eDXjVbG0CrFZbNyceJOY6c3IiPojvvhk+gxeBnb57kL7g+1Rd3tdbHy+ES0qtcC18deQ8lMKDg09hL51+pqlXYiY6c0PSabXn/DMcM0iRchVtE4xlY82Hm0AyG9YsSiWwRfMBdq9CgkWRbuXsnGeYwe+pGi7V2FPiiqRks5Lh7uDadLma5fRb7LXh/QPEMvEOokUTWZ6kVSEVwmv0LFqR73Oryv/ffwPDhwHk/tCNJHBy8D1j9cxqcmkYjmftmT6Ha92wMnWCVObTcX6p+uRI8zB8i7LwaJYVpOVEpgaiHNB56yqiqKMJjP9Lt9diM2JxV+9/rLgCgmWwqwiZfGdxVhwawHGNhyLj99/xKxW5ukfVUdhMz0RKqZHOZn+S5n6JZQIcSH4AoadHoZKmyph/s35cHNww+mRp5HyUwqODz+OQZ6DiuXDXlmoTLw4sUAqNME0KAuVA34HLL0cq0YxfliFaZ4hV5irqKQwfpBNfTcBkLd90aBNXkkBULDdi2VTtJKibJy30U2kqPOk6Jo2nyfKQ2p+qsGTvRqXb6zT9spCZfXj1YjLiYNUJsXbpLcQSARmEynXPl5Dr1q99PbbGMPZoLOQ0TKMbzS+2M6pLFS+u/Yd4nLiAMj/fvf77cd3Lb5DrjAX656uw8K2CxUtSRzKOoKmVz2SV1GmNJti6aWoRVmo/OD9AwD50Ic/H/+JGS1mFEvVzNy8SniltmWVoBqz/gua33Y+JjSegFYercx5Go0wQmXSxUnkzWEmZrWaBUDe5lGcfcmmhKZpPIt7huPvjuNs8FlkC7LRyqMVNvbZiHGNxpm1NVEbjFBJyksqVpH/NTHEawieT3+O5hWbW3opVo1ispebapEikUmQL85HafvSAFCk1apdlXaIyIwwyDQPaK6kyCAraJxX50nRoZJC0zQy+ZlqM1ISuAlgUSytA1qY8cP6VlLep7xHddfqeuV/tK/aHk+/lY89r/asGuzYdmhesTls2bY6VWT0JZOfiWdxz4xKezeE4++Po0/tPsU+HIcRKt+1+A5VXasCAI76HwVXyMW8tvOw5vEaUKAwrtE4AHIzffNKlv88CUgJwLngc9g/eL9VVlGU8XL3wuOpjxU3B9Y8WQORVIQ/uv1h2YWZAP9kf7Q/2B5Hhh7B5Kb65RB9zZhVpNQoXaPI+ERL4OHsgftT7gOQfyFl8jOtYl1fEoxQAeQjKTtV61QiBEt8bjyO+h/FYf/DiMiKQDXXapjTag4mN52Meu71LL08Ba72rnC1dwVPzMPkS5OxrNMytPRoaellfVEwN1PuRd7DkXdHcGjIITL1qxBBaUEA5AnlqmAmZbnayS+umVYrRlwzj0tkEsNEipZKCptiK6a1CSQC2HMKTveS0TIIJAKtnhSuiAspLS0wBUyZRG4iyjuW1zr0xeCMlNT3BgmLJhWa4H2qvAojlArhk+ADAKi5rSZG1h+JMQ3HoFO1Tia52cGkzA/0HGj0sXQlIjMCL+Jf4NSIU8V2TmVYFAutK7cGTdP4+c7POPH+BEY2GAlnW2cc9j+M4fWHK6qI54LOYVnnZRZZpzKrHq9CjdI1MKWp9VZRlGFugDyJeYLNLzbjpw4/WXU4pi7IaBnm3piLeu71FCKWoBtf3ZiE7298jy6Hu5DWLzMRkhaCrke6WnXrl1AixLmgc+h/sj+qb62OtU/XolO1Tngw5QGiFkRhTc81ViVQlJHIJEjITSAeFTOSL87HmcAzJPBRBUGpQajoVFHtxXuOIAcAilRSmPYuGrTi5oUM+le2NX2myGiZos1GnXGeJ+YBgNZ2r0x+JgCofZ3Jeck6+1EcbRz1rsS+TzFMpADAqAajijyWkp+CXa93odvRbqi8uTLmXp+LR9GPjGof/S/sP7Ss1FKnn4OpOPH+BJxtnTG03tBiO6cqaNAITA1ESn4KPMt64nTgafAlfAzxHAIAiMuJgx3HTuMI6+Lgfcp7nA8+j187/1ribrj89ewvUBSFax+v6Z1Mb20ce3cMz+OeY+eAnSXu78HSfHUiZX2v9cSjYkbql6uPPYP2WGUy/bvkd1hwcwE8NntgzPkxyBHkYO+gvUj6MQlHhh1BtxrdrH68oYudCzHTmxmSTK+eoLQgNCzXUO3z2YJsAFC0KfHFfNix7eSVE8gv7lgUC7Ysw9pONFVSZLRMERTJoTiQ0tIC7V62bFvki/IBQGu7lzaRkpSXpNPdXWb8sD5V5XReOhK5iQaLlAVtF2h83hSCRSwV42bYzWKd6kXTNI6/P46RDUaqDMMtTlgUCzRNw72UO9Y8WYPtr7aDw+KgX51+AIANzzdgccfFFl0jIPei1Cxds8Rli7xOfI3rYdexsttKZAuy9U6mtyay+FlYfGcxxjcaj241ull6OSUO674iMwPETG9+lJPpLS1UcgQ52OW7C632tUKzvc1wJugMpjefjuA5wXg+/TlmtJih0jRrzRSe+pXETbL0kr44lIXKgluaL/q+JnQVKcqVFHuOPcQyudCjaXklhcUybAyxrpUU5tB2bPl0L3uOPSiKQr74k0gxQSWloqN2kWLI+OGAlAAAMFik1HOvp7PhXpVg0SXF/mnsU+QIc4o1Zd4n3gcRWRGY3MTy/fwf0j/gduRtbOy9Ed80/QYh6SGoW7YuXO1dcTboLHrW7Kn4N2Ap3qe8x4WQC/i1S8mqotA0jZ9u/4RG5RthaaelCjN93xN9S+TgmBUPVoAv4WNjn42WXkqJ5KsTKcBnoeJg44C7kXctvZwvEkao+MT7KC4MipPXia8x4+oMeGz2wPyb81HFpQqujLuCuEVx+Lv33yV+UggjVDb23ohKzpUsvZwvkiFeQ3Bp7CWtd6a/FoQSIcIzw9GwvHqRkiMs2O7Fl/DhYOOgqEYxk70oUAZ51rRWUj59pSm3fQkkggIZKQC0elJ0Eil6VFL0ISA1AHZsO41jnrUxusFovfdhBEvnw52x9/Vejdv+9/E/VHKqhBaVWhi6RL05/v44qrhUsYq70Tte7UB5x/IY12icwmMw0HMg3iW/Q2BqoMXb0QDgz8d/ombpmlYh6vThv4//4VHMI/zd62+wWWzF1K/V3VeXuMExb5PeYtfrXVjZbWWxtkV+SXyVIgWQC5W3s94qDN/q0noJhjOz5Uw8n/4cTrZOSMtPM3tFJU+Uh/1v9qPVvlZovb81bkfcxtJOSxG7KBaXx13GEK8hJeqOkjZc7V0xvcV0AMDxd8dJ65cZGOg5EF7uXuAKuVj5cOVX3fr1IeMDZLRMt3avTwZ5RiAUrqSoEyj3I+9rXIO2Skrh4zIiRTltHija7sXkujBk8jPBptgqq6w0TSM5L1nrzQGpTIro7Gi9J3sFpQahnns9raZ8TYxuqL9IUYaZ4qaOm+E3MaDugGIbjiKSinAm6AwmNp5o8ZbcXGEujrw7gpktZsKOYwe/JD8AgJebF1Y+WmmUuDQVwWnBuBB8AUs7LS1R33kSmQSL7y5Gz5o9Fa1zgHzq10DPgaBpGuuerENKXooFV6kbjFm+vnt9zGszz9LLKbF8tSIF+Hw37fi742iwswFp/TIDHBYHPDEPbQ60MVvg4/uU95h7fS48Nnlg1n+zUNGpIq6Nv4aoBVH4tcuvX/wdDKlMit2vdxOPihl5k/QGa56s+aoDHwNTAwFAcyVFkINSNqUUF0Z8sbzVSiQVAfgkJBgTvYrPgm8ua+6d1zRGXrndizmHLdtWsQYARdq9hBIhxDJxETGSxc9CGYcyKi/CswXZEElFWispCdwEiKQivSspgWmBGn/GumDMNKRG5RthSaclap+PyY5BSHoI+tfpb/A59OVG2A1k8jOLLcBRE0f9j0IgEWB2q9kA5InzAHA/6j48nD3UJtMXJ2uerEEVlypWnYuiigN+B/Ah/QM29N6g8t9ecl4ytr/ajh7Heli9R+Wo/1G8iH9BzPJG8lWLFIaetXoSj4oZKWVTCr90/MWkyfR8MR/H3h1Dh4Md0HRPU1wMvYgFbRcgakEU/pvwHwZ5DipxpWFDYbPYuDnxJjHTm5FuNbp99cn0b5PeokbpGhp77bMF2YoqCvCpklK43Yui1PpRutboqnENmtq9pLT084UN40n5ZJxXDnIEPldSmJHJqtq9NLV6AdqFgCHjh2maRlBqEBqVa6TzPqp4EffCoP0alW+Ee9/cg3spd7Xb3Ay/CQ6Lg161ehm6PL058f4EmlVshkbljfu5GIuMlmGH7w6MrD8SlV0qA5APOqjgWAE7B+zEP/3/UZtMX1x8zPiI04GnsaTjEqvPRVGGK+Ti94e/Y1KTSWrzZSo5V8KDKQ+Qxc+yajN9Fj8Li+8uxoTGE7R+phE0Q0QKiJm+OFBOpjdGqISmh+IH7x9QeXNlTLk8BU62Trgw5gJiF8bizx5/onrp6iZeecmgsJneP9nf0kv64lBOpp9wccJXFw77NvktmlVspnGbbEF2ARHDmNaZdi/mZ6auTejQkEMaj6+13YtRJ582K9zuVdiTYohIScqTD6rQRaRQoPTK5ErkJiJHmGN0JeVZ3DO161cHI1C0jUu+EXYDHap20Cto0hiy+Fm49vGaVXgrbkfcxseMj4r2nQ/pH/As7hlqlamFMg5lCiTTT708FSffnyz2Na59shYVHCsoWoFLChueb0COIAere6zWuJ2Xu1cBoZLByyimFerOr/d/hVAixIbeGyy9lBIPESmfUBYqP9/52dLL+SJhhMp+v/2K1hFdkMqkuBJ6Bb2O9UL9nfVx/P1xzGgxA2HzwnB78m2MqD+ClFPxWagMrzcclZ0rW3o5XySMUGlbua3Fe+O1sXPnTjRo0ACtW7c2+lg0TeNt8ls0r6g5QTtHmFPg4lXhSZF+FimapnrZcewMXqNUJi1ybFu2rUIoAUXbvdSKFIFpKimVXSrr9ZqYsExNvh9deBb3DF2qd9F5yleDcg10EihCiRD3o+5jQJ0BRq1PH84Fn4NEJsH4RuOL7Zzq2P5qO5pXbI4OVTsgKDUI/7v+P/Su1btAhY8RKgvbLiz2vK3IrEiceH8CizsuVrznSwKJ3ERserEJC9stRDXXalq3Z4RK1+pdrW46p1+SH/a82UPM8ibCur9lixlGqBwaKr+bZ00ZH18Ks1rNQti8MDSu0Bg0TWv8GWfxs7Dp+SbU2V4Hw84MQ744HyeGn0D8onj83ftvqzAoWhuu9q44NPQQyjmWQ0JuAt4mvbX0kr44hngNwU8dfgIA3Aq/ZbWtX3PnzkVwcDB8fX2NPlZ8bjwy+ZlaRYq2SgpNf57upal1SxmfOB/Fn7VVUhTbfTp24ele+aJ82LHtFK2ghrZ7Odk6wcnWSeO6o7Kj9PejpAbCgeOAmmVq6rWfMmKpGC/jX6Jj1Y46T/lytnUuMJZZHU9inyBfnI/+dYvPj3L8/XH0rtXb4lMMwzPDcTPsJua1mQeKovAq4RXOjT6HYfWGISE3ocC2KXkpCMkIQT33ehBKhLgdcbtY1rj+6Xq4lXLDzJYzi+V8pmLFgxVw4DhgaaelOu/j5e6FXQN3wYZtg1cJr6yi9Ysxyzco1wDft/ne0sv5IiAipRAezh4obV8aUVlR6HKEJNObg6quVQEA827OU5mjEpQahNn/zUaVLVWw9N5SdK7WGa9mvMKL6S8wsclEo+62fk0svrsYPY71IB4VMxGbE4uhp4d+FYGPb5PlYlddrzhDjjCngEhh/CCMcd6QnINR50bBO9wbgO6eFOYzRVW7V+HJXoAakWJv3PjhmOwYVHfVr/00KDUIDco1MKpK55/sD76ELxcpWqZ8MZWnlwkv0e9kP4VnRx03w26isnNlnSs0xhKdHY2nsU+twjC/89VOlHUoqxg5PK35NLiVcsMgz0GQyCS4HyWfTPffx//wzeVvsGvALjjaOuLg24Pod6IfjvofNev6YnNiccT/CH5s/6PFwy71ITA1EIf9D+P3rr8b1EIokUkw+dJkq/CoHPE/Ap94H2KWNyFEpKjBjmOHlLwU4lExI00qNFEEPkqkElwJvYKex3qi0e5GuPrhKpZ0XILYRbE4NvwYWlc2vmXla2PXgF3ETG9GqrlWw7nR576KZPq3SW/hXspdaxuhKuO8Pce+gHFeX7rW6Iqhp4fCO9xbYyVFWQApixQmqwWQt3sVDnIE9K+k6CJSorOj9fKjAJ/CMo30ozyPew47th1aVGqhMdixUflGuDHxhuLn8TT2qVahcjP8JvrV6Vdso4dPB56GA8cBw+oNK5bzqSNPlIdD/ocws+VMxXuJwZZti4tjL+KPh3+gx9EeeB73HBfHXFRUw2a3mo0ZLWZg2pVpZhUqfz/7Gy52LpjTeo7ZzmEOFt9ZjFplainiIPSFw+Lg6riryORnWlSoZPIzseTuEkxsPBFdqnexyBq+RIhIUQMx05ufmS1nYnOfzdj+ajvK/l0Ww84MA1/Mx6kRpxC9MBoruq4wapTm105hMz0RKqZHOZn+SxYqvom+aFGphdaL0yLtXmJ+gZwUiUyicbqXKg4NOYTetXtj6OmhGvOspPRnkSKDvPXLjm1XJCelcJAjh8Up0r+vzTiv7XNJJBUhkZuoVyWFpmm5SDHSj+KT4IOWHi0VFWdVLV+MSb5fnX64P+V+AaHS/2R/lULFEqOHTwWcwtB6Q7W21pmbY++OIV+Uj/+1+p/K59tVaYfH0x7j/pT7WNtzLZztPufuKJvpzSVUErmJOOB3AIvaLbL4z0of7kbexc3wm1jfc71Rk8iYwEdLChViljcPRKRoQFmo9DvZ74u9ALEE4Znh+P7G9/j1wa9gU2xwRVys6LICz6c/x/jG40vU6ERrhhEqjco3QkxOjKWX80XCCJUEboLCmP0lQdM0fOJ90L5Ke63b5ghy1FZSbNm2n4WEHjfi7Th2OD/6PPrU7gOhVKh2O3WVFIFEAHv2Z+N84XYvFzuXAuKLL+ZDIBForqQ4ahYpcTlxoEHrVUmJzYlFnijPeJES74N2ldsp/r9wy1fhKV5tKrcpIFSexD7B4H8HFxEqxT16OCAlAAGpAZjQaEKxnE8dNE1jx6sdGFZvmKJVWV+UhUpIeoiJVwhseLYBDjYOJcoHIaNl+PnOz+hQtQNG1B9h9PEYocKm2MUuUt4kvsGe13uwqvsqi3unvjQMj7T9SmCESlBqEOkxNBKapvEs7hk2v9iMy6GX4VbKDT93+Bn/a/U/vEt5h+41ult6iV8krvaueDT1EVgUCzRNIy43TqcJKgTdGeI1BIM8B4FFsZDITUS5UuW+mM+LiKwIZPAz0K5KO43b0TSt0jjvwJF7UmxYNp+FhJ5dX3YcO1wedxn1dtRDGi9N5TZSWqo4LmOiZ8IcmRYdnphXpN1LVasXAI0iRduFSHR2NADoJVKYyV7GZIEk5yUjOju6wN9VPfd66F6jOx5EP1A7ZpgRKr2P9UauKBcPoh+g/8n+uDnxpkLU3Qy/Wayjh/8N/Bdl7Mugb52+xXI+ddyLuoeQ9BDsHrjbqOMwQoWpIsbmxJrkczg1PxV73+zFzx1+Lra/G1NwKuAU/JP98ezbZyZrH/Ry94L/bH+wKBb4Yj7yRHko51jOJMdWh4yW4fub36Nh+YYlSiSWFEglRQc8nD3Qu3ZvyGgZfrv/G2n90hOJTIKzQWfR7mA7dD7cGSHpIdg7aC9iF8bij25/oIJTBfSp3Qc2bBs8i32GJXeWkMlqJoYx4u703Ymme5qS1i8zwKJYEEvF6H60+xcV+OgTL5+u1bZyW43b8cQ8SGlpEeM8M93Lhm0DiUwif8KAaxIWxdLoaZHIJKAp+fPKIqVAu5eKSoqzrXOB42gSKWKpGOm8dK3tXjE5MaBA6XXnPSg1CE62TkZduL6MfwkARQTlpbGX4D3JG77f+aodM9ymchvc+eYOXGzlou1J7BNF65dQIsS9yHvF1upF0zT+DfwXoxqMsnhVfZfvLjQq38gkPgMWxVJMBqvzTx2TBD5uer4JHBYHC9otMPpYxYVQIsSv93/F8HrD0aFqB5Mem/mum/XfLHQ72s3sVZVj747BJ94HO/rvAIdF7vubGiJS9CBbkI0zQWeIR0VHcoW52PJiC+r8Uwdjz4+Fo40j/hv/H4LmBOG7lt8VMSACQEh6CP5+/rfJkukJBZncZDLxqJgRG7YNNvTe8EUl07+Ie4F67vVQxqGMxu2yBdkAUOBuLlPFEEvF8koKrf90L2VUfSawPn2NSWWfKymMGCoiUgp5Urgirl6VFOaCR5tIic6Ohoezh14X2EFp8slextxV9on3gYezB6q4VCnwuKu9K/rU7qM1O4MRKsqtX/1P9sediDvy0cPFJFJ84n0QnR2NCY0t1+pF0zTicuJw5cMVzG0916TDAlp5tMLUZlONTqZP56Vjp+9OfN/me73DOy3J7te7EZcbh7U915rtHMs7Lzd7Mn2OIAdL7i7B2IZjSbK8mSAiRQ/KOpQlZnodiM2JxU+3f0LVLVWx+O5idK7eGX4z/XB/yn0M9ByocbzmjBYzTJJMT1ANMdObn8LJ9CVdqPgk+Ght9QKURIoqT4pSJYUGrXe7F4OmSoryz1kik4ACBQ6Lo2g5A1RP91InUlSJMl3T5qOzo1G9tH7jhwNTA01imm9fpb1RF9SqPCqzr89GJadKaFKhiVHr05VTAadQ2bkyOlfrXCznK8yr+FdwXueM6lurw55jj4mNJ5r0+IWT6Q0VKtt8toEGjUXtFpl0feYkR5CD1Y9XY3rz6WYNuyycTG8OobLq0SrkifKwsc9Gkx+bIIeIFD0pPPWrcIjT14x/sj8mXJiAWttq4eDbg/hfq/8hekE0jg8/rjVfQRkmmX6H7w789uA3M67460RZqGx9udXSy/kiYYTKzbCb8Evys/RyDIYr5OJd8rsCRmx1MBf3bqXcAMjvRDMCgTHOK9q9DETVTQtGuDATvWxYNhDL5OejKKpoToqOIkW5bY1B17T5mJwYvfwoMlqGkPQQo/woEpkErxJe6SQotVFYqCRw5d9zPDHP6GNrQyKT4EzQGYxrNE4RulmcvIx/ie7HuiNfnA8aNCo6VSwwrctUKAuVdU/XKbKEdCVHkIPtr7ZjdsvZZvddmJINzzeAJ+bh966/m/1cykLlbNBZkx47JC0E/7z6B8s7Ly9SuSSYDtJAZwCMUNnyYgsqOFWw9HIsCk3TeBTzCOufrod3hDdqlK6BLX23YFrzaUaNQpzVahZs2bZo5dHKhKslMLjau+L25NuwY8vHlIql4i/G6G0tDPEaguiF0XAv5Q6apiGlpSWuZ/lp7FNIaSm61eimddvCbVISmQQyWgZ7jr3COC+SisBiswzypACqKyk2LBuIZCLF8xwWByKpSNFqVbjdq7AnpXAqfCY/E652rir/rpLzkkGBUuvrYIjOjkanqp10fl3R2dHgiXlGVVICUwPBE/NMIlKAz0Klx9EeyBfnIykvCQNPDcT1CdcL/AxNzb3Ie0jjpWF8o/FmO4c6vMO9MeLsiAJirJ6b+e72M0Ili58FW7atXp/Du1/vBl/Cx48dfjTb+kxNEjcJm19sxsJ2C1HZRXPmkqnwcvfC+/+9h5uD/OaJKb7raJrG/FvzUd21On5sX3J+/iURUkkxEA9nD2zoswEcFgfP455/da1fMlqGSyGX0O5gO3Q/2h1JeUk4NeIUwuaFYV7beSaZ1T6t+TQ0rtAYPDEPu313k9YvE+Ni5wI7jh3eJb+D1w4v0vplBtxLuQMAFnkvwrjz40pc69fD6Ieo5FQJnm6eWrfN4GcA+CxS+BI+AMg9KcrtXjRt8L9lVfsp321P5CbChm2jECkSmQQSmaRAmGPhnBR9gxzLOZbTKDYlMgkSchP0avcKTA0EAKOCHH3ifcBhcdCiUguDj1GYNpXbFJhY9CjmkdocFVNxKvAUPN08Tfo6dOHfgH8x+N/BRapF5r55w6JYcCvlhmxBNlrtb6VTjgpPzMPmF5sxrdk0eDh7mHV9pmTlo5VwsHHA4o6Li/W87qXcQVEUzgSeQct9LY1u/boUegl3I+9ia7+tijwignkgIsVIZLQM827O+2o8KiKpCIfeHkKDnQ0w4uwIOHAccGPCDfjP8sf4xuPNcqf4XuQ9zLkxBwtuLSBCxQzUKF0D5R3LE4+KGelRs0eJDHx8EP0A3Wt218njkMHLgIudi+IzQCARAIAiJ8WGZWN8u5eKSopyMOST2CegaVohUpTXAHyqpOjQ7mVM2nx8bjyktFS/8cOpQXCxc0FlZ8PvLvvE+6BphaYFRJgpCEkPQfOKzYuY6c0hVPhiPi6FXMKERhOKLdUeALa/3I6JFycqQkeVYXxI5sbFzgVtK7fVKfDxoN9BZPIzi/1i3xg+pH/AAb8DWN55ucpWyuKgWcVmSOOlGeVR4Yl5+MH7BwyoOwCDPAeZeIWEwhCRYiQsioVr46998WZ6rpCLzS82o9a2Wph+dTrql6uPF9Nf4OHUh+hft79Zv1AGew3G3kF7sf3VdiJUzAAx05ufkphMnyPIwZukN+hWvZtO22fyMxUtFYD8ghOAInHehm2j8iJQH1T921f+7KnoWBFcERch6SEqRQpPzFMZ5ljgdQiMEylMRoo+afNBaUFoVL6R0ZO9TNXqxcCMHh7TcEwRM705hMr1sOvgirgY37h4Wr1omsaKBysw/9Z8tUMZkrjFI1J0TaYXSUX4+/nfGN94fJFWRWtm+f3lqOxSGXNaz7HYGkyRTP/3s7+RlJeErX23mn6BhCIQkWICCpvpvyShkpafht/u/4ZqW6thyd0l6F27N4LnBOPS2Esm/0LUxMyWM4lQMSPKQmXM+TEl4iK6pKEsVHb67rT0crTyJPYJZLQM3WvqFrKawc8ocHGvLBAYTwoz3UvTlC59YbPYiomB7aq0gz3HHpdCLskneykJJalMCqFUqLjQlsqkyBfn61VJScpL0m6az44BAL3yToLSgozyo2TyM/Eh4wPaV2lv8DFU8TzuOfLF+ehXp5/OyfTGcCrgFFpWaqlTe6GxSGVS/O/6//Dn4z81bpecl1xs3zfKQmXGtRmIzIosss2J9ycQnxuPpZ2WFsuaTIFPvA8uhFzAn93/1DoG29woC5W5N+bqtW90djT+evYXfmj3A+q61TXTCgnKlCwXpxXDCJWx58cqerFLMoncRGx8vhF7Xu8Bi2JhZsuZWNRukV7hZKZmZsuZirUVZyvA1wIjVGJyYoiJ3kwM8RqCx9Meo2WllpZeilZuhd9CjdI1ULtMbZ22z+RnKiZ7AQU9KSKpCHYcu8/i18QjiBmzPItioaJjRbSp3AbB6cEFhFK+WH4xzbRDcUVcAFApUrzcvFSeJzkvWashPjo7GhWdKqrMgVKFVCZFSFoIpjadqtP2qniV8ApA0RBHY7kTeQflHcsrRg8zQqXn0Z7IE+fhQfQDDP53MK6Nv2a0mZ4r5OJG2A2s7rHaFEvXiFAixKRLk3A++LzWbcUyMTL4GQp/mblhhMqUplOKVEqkMinWP12P4fWGo0G5BsWyHmOhaRq/3P0Fjcs3NvkoZ0PxcvfCo6mPCoxL14UfvH+Am4MblndZbqaVEQpDKikmxMPZA4+nPkaj8o3AE/MUd9RKEjHZMZh7fS5qbauFQ28P4ecOPyNmYQw2991sUYHCMLPlTPzR7Q8A8lGRpKJiWlztXdGkQhP5l/jFSaT1ywy0q9IONmwbPI97jmlXplll1YqmaVwPu46BdQfqfEOgcCWFqWIwlRTGyE7ThldSCv97p0CBRbHAptiK5205tijrUBY2LBvFCHMHGwfFHX/mYjpXmAtAtUhRV0lJzU/VOtExOidar1avqOwoCKVCoy46feJ94F7K3eTtP7cjbqNXrV4Fsq3aVG6De1PuKS7wHkQ/MEnr17WP1yCUCjG6wWijjqMNrpCLAacG6CRQGIqr5YuBRbHQsVpHAMDKhysVrV/ngs8hLDMMyzovK9b1GMOt8FvyCaC91ltkpLQ6PN08UcGpApK4SRhxZgRS8lI0bn8n4g4uhV7Cht4bTDIYiKAbRKSYGOYLfcHNBeh8uHOJaf2KyIzAjKszUGd7HZwJOoMVXVcgZmEMVnZfWeDuqLUQnhmOjoc6ksBHMyGUChGeGU48KmYkg5eBk+9PWmXgY0h6CKKzozGw7kCd9ynsSWGmJDnaOMorKWw7iGVio1q9Cu9LffqPufiRQaaoqtiwbRQ5Vm+S3hRYDyC/WAVQ5IJDnUjhiXnIE+WhgqNmkRKTrV9GSmh6KACgfrn6Ou9TmJcJL9G2cluTVpjTeenwS/JDn1p9ijzXpnIb3J5826QelTNBZ9CuSju9QzD1ITU/Fd2Pdsf9qPt67Vdc5vnC0DSNBG6CwqOy9sla9Kndp8SM5pfKpFhydwm6Vu+K/nX6W3o5KuGKuPCJ90GPYz3UelTEUjHm35qPLtW7YFyjccW8wq8bIlLMxMruK0uERyUkLQSTL02G5w5P/PfxP6zvuR7RC6OxrPMyuNrrVwotTuqUrYOdA3aSZHoz4WLn8n/2zjuuifsP48+FQBgCirhA3AriXijuXfeoo67aVuuqq9W21tbRWqsdtu7xs3XXjbPuAe6FisiQJXvvmZ273x/xYgJJyLgjoPfuq6/SkPve1xjCPff5PJ+HM9OzzEjPkZU2mf5S9CXY8e0MykehyRHmaBcpNg6QKCSw5ilbCJmspPAIHgiCUFVSSJJU5abY8m2xuq8yMO7LK1/ieux1AG/bvYqlxQAAR5u3QX1ShRTF0mKtIoW+gDEkI8WYSkpEdgQcrB1MnuxFURQCUwLRxa2LScfr4mbsTVCgMKjpIK3f1+ZRMVWoFIgLcCXmCiZ6TzRrz/pIKkhCz7098SzN+M+yiq6k0BAEoWGmD8kMwQ+9qk6r0ZGQIwjJDMFvA3+rtC3aLWq2KDeZfuuTrYjKicKWIVsq7Z/jXYUTKSxR2c30wenBmHhyIlrtaIVb8bewechmxC2Ow9LuS6tMKVM9mZ4TKsxTeupXUkGSpbf0zkGb6c9FnDPaxMkmF6IuoH/j/gb7KoCy7V7qHhC6sgHo9pWYSulKCp2TIrASgKSUKfS9GvTC4iuLVfsB3npS1NPE80R5AGCySFGQCiQVJhlVSXmV9Qperl4mX/zE5cchR5SDLu7MipRrr6+hVa1WenM4tAmVEUdGGC1Uzkeeh1QhxXjv8WbtWR8rAlYgOjfapGMtVUkBlEJ85/CdKk8Mmxk1TCKWi7EiYAXGtRyHrvW7Wno7elFPph90aJDGqPT04nT8eOtHzOs8D+3qtrPgLt9POJHCIupC5b+o/yy9HQBAYEogRh8bjfb/a4+nqU/xvxH/w+tFr7HAZ4FRFySVBVqo3Eq4peox52AOWqis7bcW9Z3qW3o77ySjPEfh9EenNULzLElaURruJNzBhy0/NPgYkUwEsVys0RpKV1Ls+ErjPJ2fYlaYY+l2L4JQ+VIAZW6VNc8aErlEYwTxvtH7MKvjLOV+3nzO0ZUU9ZsyuaJcAKaLlNSiVMhJuXHtXjkR8HI1PdU8MCUQABitpFAUheux1zG4adlWr9KUFiq3Em4ZPfXreNhx9PDowarvUdcwBEOwVCWF5nbCbWQJszC742z0adTHonsxlJ2BO5FSmIJf+v9i6a0YBC1UVvVepZH39t2N72BjZYM1/dZYcHfvL5xIYRk3Rzc8m/0MX3b7EgDKpNlWFA+SHmDIv0Pg848PIrMjcWDMAUQuiMSsTrNgY2VjkT0xxZzOc/Bs9jM42zojT5THVVQYxtnWGfN95oMgCPiF+3GtXywwosUItK3TFiKZCOvvrmek9Wv79u3w9vZGly7GXbz6hfuBz+NjrNdYg48pnTYPKD/rBFYCWPGsIJFL3ooUczwpOnJSVO1e1FtPirpIcbZ1xrDmwwAAL9Jf4GrMVb0ipYZtjTLnoUWKvilPqowUA30VFEXhVdYrtHQ13Y8SmBqIRtUboZZDLZPXKE1kTiSSCpMwqIn2Vq/S0ELFFDN9nigP115fw8RW7LV6AcDynstxZeoVTGw10ejfeZaspADAurvr0KFuB+wasQv21vYIyQjBkZAjFt2TPgrEBVh7dy0+7/g5PF1NF4cVjaerJ8Z5jwNFUdj0aBMuRl3EgeAD+KX/LzqHaXCwCydSKgC6neBk2El4b/eu0Navx8mPMeTfIeixtwdSilJwbNwxhH0Rhuntpr9TY2bpCxLfPb5cjgpLkBSJzY83cx4VFnma+hSrb61mJPBx/vz5CA8PR2BgoFHHHQ87jsFNB6OGXdkLdV3QF/elPSl0axWdkwIo30dMVlIAqCopClKhaveysbKBRC4BAAisBKppY0dCjmD0sdF4nPwYVoQVBFYC1Xr54nwA2ispGcUZqGlXU+/nZkKBcqKjoZ6UbGE28sR55lVSUpn3o1x7fQ02Vjbo3bC3wcfQZvpq1krRZ6hH5VzkOchJOautXoDyvfJBsw9wfPxxpC5JxeYhm1WjlcvDkiLlcfJj3Iy7ie97fa96vx96eQjTTk8rN5neUvx+/3eI5WKs7rPa0lsxiSxhFn6//zvGnxyPNrXb4POOn1t6S+8tnEipQHo06AEbK5sK8agEpgRi2OFh6LanG5ILk3FywkkEzw3GR60/qlRjAJnElm+LJb5LuMBHluARPFyYfIEz07NIr4a9LJpMn1SQhPtJ942+q50j1F5JoUWKRCF5+7lDmV5N0TaCWL3dS0EplMZ5WqQolCLFxspGVcXeN3ofBjUdhF3PdsGWb6vhBckTKz0p1W2rlzl3ZkmmQaZ5V3tXgzND6MlepooUBanAs9RnjIuU67HX0cOjh9HZJ/R4YmPM9MfDjqNXw156vS9MU9O+JhZ1XYSg2UFoXL1xuc+3ZLvXunvr4OXqpdF++evAX8tNprcUqUWp2PhoI77q9hXqOdaz9HZMorZDbczrPA9iuRhF0iJVpZij4uFESgVSEWb652nPMfLoSPj844O4/DgcG3cML+e9xHjv8Rqz7t9VuGR6diltpg9KC7L0lt451JPpJ5+aDAWpqLBznwg7ARsrG4z2HG3UcapKir3uSgrd7kWCNF2kaBlBDAIanpTS7V42VjYgCAIiuQgECDgJnOA3wQ+NqzdGiawE115fU62XL86HjZWN1lTsTGH5IiWxINGopPlX2a/AI3ho5tLM4GNKH18iK2HUNC9VSBEQF2CQH0Ub2sz0ww4P0ypUcoQ5uBF7g9WpXvoITA1EXH4cAKBpjaY48uERDGwysMzzsoRZFb01AEBoZijOR57Hsh7LNH5/qyfTf3buMxwKPmSR/Wnjp1s/wd7aHt90/8bSWzGZPFEetjzZglEtRkEsF6PfgX7IKrHMe+B9592/aq1kqAuVRVcWMbbui/QXGHNsDDrt7oSonCgc/vAwQueF4qPWH70X4kQdWqjsfLoTz9OeW3o77xy0UBnefHi5wXYcpkELlda1W1fYzy9FUfgn6B+M8Rpj9PjxHFEOCBAaCc4l0hLVnfjSxnmTE+dLV1IILZUUteleErlEJThEMhHsrO1AEAQEfAGGNBsCZ4GzxkCIfHE+qttW1zppy5BKSlJhEjycDDd/R2RHoEmNJhDwBeU/WQuBKYEgQKBTvU4mHa+NR8mPUCIrMdiPoo3SQuVO4h2tZvqzEWdBUiTGeY8za8+msjdor+rrr32/xuQ2k3H94+uIWxyHH/v8qGrb0yZcKoI/HvwBDycPTGkzpcz3aKGyqOsiNK5RfjWoIojOicaeoD1Y3nN5pY4wKI9VAasgkUuwa8Qu3PrkFnzcfTSmAHJUHO/X1WslgRYq+0fvN3utkIwQjDsxDh3+1wGhmaE4OOYgwr4Iw5Q2U97Zti5DmN1pNqIWRKGTWyezpglxaMfZ1hn/fvgv3BzdkFmSiRfpLyy9pXeOUZ6j8GPfH0EQBALiAlhv/bqXeA8R2RGY02mO0cfmCHNQw66GxmeOUK7W7iWXaFQ7SJAm7VFXBYYWFQpS2e4lUUhU7V6050S9sgMoR6S2qNkC3rW8USItwYOkByqRoo3MksxygxyTCowXKeaa5r1cvRi9gLr2+hpq2tVEh3odzFrHEDP98bDj6NOwD+pWq2vWuUxBKBOqzOfWPGtMazdN9b1G1Rthdd/ViF0ci/jF8Tg+/niF7y8hPwFHQo5gie8SnUZ/HsHDpiGb0LNBT8gUMgTEBVTwLjVZdWsV6lariy+6fGHRfZjDy4yX2PF0B1b1WYV6jvXg6eqJfaP3wZZvi+D04HKT6TmYhRMpFsLN0Q21HGohpTAFAw8ONLr1KywzDBNPTkTbXW0RlBaEfaP3IWJBBD5u97HG+Lz3Gfru0vKby7kcFRZZdmMZ+h3ox3lUWCK1KBXDjgxjPfBx9/PdaObSzKgARxptVQad7V6UaQIFQJkKjKqSAt3GebpKIZKLYMd/O2a9WFqsmuz1+/3f0f9Af4Rmhmqd7AUojfMGVVKMGKMbkW3m+OHUQPi4+5h8vDaux17HwCYDGang0WZ6JxsnAJoelaySLPjH+eOjVh+ZfR5T8Av3Q7FMOeFtRIsRWvPBeAQPDas3tMjv1L8e/gUngZPBpu0DwQcw4OAAi3lUgtODcSz0GFb3WV0l4wwAZaV20eVFaO7SHIu6ana6kBSJqaen6k2m52AeTqRYGIIgkFiQaLBHJSI7ApNPTUabnW3wJOUJ/hn5DyIXROLT9p9y4kQHjas35gIfWWTTB5s4Mz2LuDm64fj446wm02cLs3Ey7CRmdZxl0sVpljCrXJGiXklhbLrXG0+KqpJCKcp4UnRVUoqkRaoL0+97fY/BTQfjeux1jSA3GpIitf4Z1SmUFKJQUmhwJUUkEyE+P95kkSKRSxCcHsyoaT5XlIvAlECT/Sja8HH3wfXp18uY6Y+FHgMFyqg8HibRaPXq/rVF9qCLbGE2/n7+Nxb6LDQ4XHlGhxkWNdP/4P8Dmrs0x2cdPqvwczPFibATuJ1wG1uGbilTveIRPJyaeEpvMj0H83AixcIYaqaPz4/Hp2c/RasdrXA/8T52jdiFqIVRmNlx5js1SpgNuGR6diltpueECvOoJ9OzIVS2PdkGHsHDZ+1Nu8DQV0mhKEpjuhdJMWycx1uRIiflZaZ7lfak0KhXUgR8AU5OOAkXOxcEpQfhasxVjfPkinJBUqRekZJUkAQABldSonKiQIEyWaQEZwRDRsoYNc3fjL0JCpRZfhRtaDPTrwxYiT4N+zCa72IoMbkxuJ1wGwBQt1pd+Nb3rfA96GPbk20AYFTAa2kzfUUKlfuJ93Ex+iJ+7vdzlb1ZWiItwdfXv8YYrzE6Rbp6Mj0nVCoGTqRUAtSFyqBDg1Sz/QEgvTgdCy8tRIutLXAl5go2fbAJ0QujMbvT7CofwliRqAuVv5//bentvHPQQqWla0u8yn5l6e28k9BCJSY3BoWSQsbWLZYWY+uTrfi84+cmXzBmlmSitr3mBXyJtAT2fHtVZYJuyTKrkqItzPHNP8BbT4pUIYWAL9Bo9xLKhWXavRxt3no5BHwB6jvVh4eTRxmPlSFp80mFb0SKgZUUc8cPB6YEwppnjXZ12pl0vDaux16Hl6sXK8nvpYVKgaQAqUWpRiXTM8X+F/tVXy/oskDroARLQf88zuo4S29wqDbUhcqTlCcs7VATiqKw/OZytK/bHhNaTaiQc7LB+nvrkS3Mxl+D/9L7PFqoUBSlujHBwR5VU/K+g9BC5VnqMwj4AuSJ8vDHgz+w+fFm2FjZ4Ke+P2FR10VGz63neMucznNQ36m+xSa1vOs42zrj7md3VXfM04rSquyc/MrKKM9RGN58OKx4VsgqyUJ12+pmV1L/ef4PCsQFWOq71OQ19FVS6KwSjXYvM1Ln1aEvLtXbvTQ8KWrGeZFMpNnuJSkq00pTKCnExFYTsaznMgBv38O0WVbfNLukgiQQIAzO+4jIjkBth9omJ1kHpgaibZ22Jk8GKw1FUbj2+prR46eNgRYqvff1hkQhQWROJIYeHorLUy9X2O82BanAvqB9AJQCd0aHGRVyXkP55/k/KJQUYonvEpOOp4UKTWpRKqsZNFdiruBu4l1cnHKxyk4SjcuLw4YHG/BN928MmpTm6eqJkHkhsOJZQaqQolBSaLSg5DCMqvmOekdxc3RD/8b9se7OOrj95YaNjzZicdfFiF0Ui+W9lnMChQGGtxgOAV+A52nP8f3N77nWL4ahBcqe53vgvcOba/1iASueFeSkHAMODjA78FEkE2HDgw2Y0mYKGlY3LCW9NLr8GkKZEA42DpAqpACgMSaYKU8KDV2lkZEy8Hl8SOSSt54UdeO8jnYvmnxxPmraKbNersRcQdMtTXE15qrBlZR6jvUMFo0ROeab5pn0o8TmxSKhIIH1mzg+7j5oVasV+ITyHqmhyfRMce31NaQWpwIA+jbqW6lupEgVUvz18C9Mbj3Z5J9HQPmzxiN4eJH+Ak23NGWt9YukSHzv/z16NuiJoc2GsnKOiuCb69/A1d4V3/X8zuBj6N91Cy4tQJ/9fbjWL5bgREolQaqQYvuT7Wi6pSlW31oNgZUALnYumNlhJmrYaZ82w2E6L9JfYP299VzgI0uM9x7PeVRYhM/jY23/tWYn0297sg0ZJRlY2XulyXvJF+dDTsp1VlJokUJXO0jSDE+Kjp9VlSdFIQefx4eMlJU7grhYWqwxupeiKI0RxP0a9cOAJgMw+tho3I6/DYGVQKM9rDTGZqS8ynoFr5qmiZQiSRFeZb1idLLXzbibsCKs0KdRH8bW1EZaURqC0oPwXa/vjEqmZ4q9L94a5hd3Xcz6+YzhaMhRJBUm4dse3zKyXts6bfFx249Z86j4hfspf5cOWF+pWuaM4Vb8LZx6dQq/DfzNpBvBS32XIleUy3lUWIITKRZGQSpwMPggPLd5YuHlhfig2QeIWhiF8PnhcLB2YC2Z/n1nRocZXDI9i3BmevYpnUxvrFDJFmZj/b31mNVxFprXbG7yPnRVGVTtXm88dlaE8s6jglKYfK7ykJEy1XnoEcQaxvk3nhSKospUUoqkRSApUiVSBHwB/Cb4YVDTQdj9fDccBY56L8SSCgwfP0xSJCJzIk2upDxLewYKFKOmef84f3R26wwngRNja2rj1KtT4PP4WNJtSRkzPdtCJVuYjbOvzgIAnAROGNZ8GGvnMhaSIvHb/d8wssVItK7dmpE12TTTy0k5VgasxLDmw9CzQU/G1q1IFKQCi68shm99X62BmYbg6eqJW5/c4oQKS3AixUJQFIUzr86g7a62+OTsJ+hQtwNC5oXgwJgDaFyjcZmpX5xBi3noZPqtT7bi+5vfW3o77xzqQuXX+79aejvvJLRQuRR9CQ+THxp17LLry0CBwuo+q83aQ3kiha6k0JgjUvSFOfJ5fCgohUpIqCop/LKVFLFcDAWl0BAp+eJ8ANAIc6SFirujO0Qykd6MF2MqKYkFiRDLxWaZ5h2sHcwKglSHoij4x/mjf+P+jKynj+NhxzG46WDUsKuhdeqXtmR6pjj88jDklHKQw4z2MyrVZMwLURfwKvsVlvVYxui66kLlp9s/QSQTMbLu/hf7EZUThV/6/8LIepbgn+f/4GXGS2westmsSpC6ULFUTs27CmectwA3Ym/g+5vfIzA1EAObDMT+0fu13hGjhcr6u+vLDRHjMI3ZnWaDz+OjTe02lt7KOwktVOiLATkpr7IjKisrozxHIXZxLOpWqwuKokBSpEbyuzbuJtzF3hd7sWv4Lr1mcEPQJlJkChlkpExru5c5lK54qkYQQylSZAqZ6jwCK4FGTop6mGOxVBniV55IAZRCpW2dthArxOARPK3vYXrSj7GTvVrWMk1kBKYGomO9juX+PRtKWFYYsoRZrIuUtKI03E+8j72j37Zc0UJlwMEBKJYWIyA+AMOPDMfFKRcZ9WFSFKUx2XF2p9mMrW0uFEVh/b316NmgJ3o06MH4+rRQySrJgp21ndmfw2K5GD/d/gmTWk9C+7rtmdtoBZIvzseKgBX4pN0njFQkPV09ETQnCHUclJ+n3O86ZuAqKRXI09SnGHBwAAYdGgQewcPN6Tdx/ePren9A3BzdsHXYVgj4AjxLfca1frHAjA4z0MW9C6QKKf55/g/X+sUwzrbOsLe2R0R2BFrtaMW1frFA3Wp1AQArA1Zi0qlJelu/xHIx5l6ci271u2FWp1lmnzuzJBN8Hl/j4l4oEwKAxnQvWlCwBe1FoU30qsR5NU8KbZynRYq6x4QWKdo8gDmiHNR3qo+0ojS039Vea46KSC4yuN0rIjsCtnxbNHBuYNwf8g1PUp4wapr3j/OHjZUNengwf4GszpmIM7DiWWGU5yiNx33cfXBz+k1Vq9nthNuMt349S3uGsKwwAED7Ou1NFohscDfxLh4lP8J3PQw3bhsLj+ChTrU6KJIUocfeHmbd8d8RuANpRWlY03cNgzusWNbcXgORTIR1A9YxtmbdanVBEATOR55Hl7+7cK1fDMCJlAogNi8Wk09NRpe/uyC9OB1nPzqLhzMfGnXXiqIozL80n/OosMjN2JuY9d8sLvCRJepVq4catjU4jwqL+Lj7lBv4uPTqUrzOfY3dI3YzMjKUHj+sXilRFymqdi8GNEqZMEeCUD1GV1JotIU50u1eRdIiAIZVUoC3OTAudi5oUqMJRh8brSFUjM1IeZX1Ci1qtjDp9c8WZiOhIAGd3Tobfawu/OP80d2ju8b0MzY4/eo0+jXqp3Xsso+7D65/fF31d8S0R0U9YX6+z3xG1mSK3+7/hta1W1eIR8bBxgHt6rQz2aNSKCnEurvrMKPDDLO8bJYkIjsCW59sxQ+9fmBlPLNnTU9kFGdwHhUG4EQKi2SVZGHx5cXw2uaFOwl38M/IfxA8NxijvUYb3fpAEAROf3S63GR6DtMZ2nwol0zPIpyZ3jTWr1+PLl26wNHREbVr18aYMWMQGRmp9bnlJdP7hfthx9Md2DRkE9rUYabFUVdGCgA4WL8dQcxENIrO6V4gYM2zVgVHAmqVFL5x7V7OAucy62eWZKJOtTqqZPrBTQdrCBWj0+Zzo+BZ09Og55YmKC0IANDJrZNJx5dGQSpwK/4W+jdit9UrR5iDW/G3MK7lOJ3P8XH3QcAnAYwLFZFMhEMvDwFQvi8mtppo1npMEpIRgkvRl/Bt928rZEKWuWb6jQ83olhajFV9VrG0Q/ZZem0pPJw88JXvV6yszyXTMwcnUlhAKBNi3d11aLqlKfa92Icf+/6I6IXRmNlxplk9iqXN9JxQYR71ZHpOqDCPulAZe3ysavITh25u376N+fPn49GjR7h+/TrkcjkGDx6MkhLtF27qQmXjo42qx0MzQzHz/EyM9x6POZ3mMLY/fSJFfboX0+1epdej273KGOetBKAoSsM4r2r3UhtBnCfKgx3frkw4okgmQpG0SPVnVBcq40+OR44wB4kFieDz+Kp+9PKIzolGi5otTPpzP097jmo21dDMpZlJx2tbr0BSwLof5VzkOZAUiTFeY/Q+T5tQMddMfybijOrvfIL3BNYnmBnDnw//hIeTBya1nlRh51QXKjPOz0BktvabHqXJFmbjz4d/YoHPAtR3qs/yLtnhUvQlXIq+hA2DN6iqrGygLlRm/Wd+W+37CufqYRA5KceBFwew6tYqZJVkYV7neVjRewVqOdRi7By0UPnw+IeqO38czDKns/ICLjo32sI7eTehhUp0bjRjadnvMleuXNH4/3379qF27dp49uwZevfurfWYUZ6jEPBJADq5dYJUqKxkjDsxDk1rNsWeUXsYvWObUZKBRtUbaTxWIlNeUNpb2yNbmK163JpnDRlpeviktule9I0EPo8PkiJV4kXAF6jCHGWkDCRFqtqZiiTa2710tXoBQC37t5/jtFAJTA1ETfuaSCpMgruju0FGdqFMiJSiFDR3Ma1V5nn6c3So24GxdG//OOV0LSbHGWvj1KtT6NWwl0GDGmih0v9Af5TIShAQH4CRR0fiv8n/mWSm/+f5P6qvmRTo5pJSmIIjIUfw68BfK3zSGC1UJreeDE9Xw6p66++uBwCjQg8rEzKFDEuuLkG/Rv0w1mss6+fzdPXErU9vqSq4HMbDeiUloziD7VNYHIqicCHqAtrtaofP//scvRv2RsSCCGweuplRgULj5uiGhzMfopNbJ0jkEm48MQvM6TwHGwZvAEEQCEoL4ioqDONs64zObp0hJ+WY/d9srvXLCAoKCgAALi5l+/oBQCKRoLCwEG2qt4FUKMXFsIsAABueDS5NvcT4XeS0ojS4VdPs69ZmnKdAmT3tRv3nkAChIVpKCwT1nBT1/QC62720iRRaZJX+LBfwBejZoCcoisL5yPNl0ut1EZMbAwAm9/M/T3uOjvU6mnSsNvzj/dGrYS/YWNkwtmZpCsQFuP76ut5Wr9LQU7/o92tAfIBJrV9xeXEIiA8AoPQMVaZMjy2Pt8DO2g6fd/zcIufnETz0a9wPAPDngz/1tn4lFSRhe+B2fN39a7jau1bUFhlle+B2ROdGY9OQTRUWPtmiZgt4OHsgW5iNj898rNGSylE+rIqUlMIUeG33wu/3f2fzNBblcfJj9D3QFyOPjkQdhzoInBWIo+OOokmNJqyel/4B+/ra1+ixtwfX+sUSCfkJ6PpPVy7wkSVEMhFeZrzkPCoGQlEUlixZgp49e6J1a+2Bb+vXr4ezs7Py34bOmHJYGVLWvGZz1LSryfh+UotSy5hPtRrnAVZGcqqM8wRf4//V273obAh1T4o1z1rjwjxfkq91sleWMAuAZiVFHTkpR0ZxBl5lvyoz9UsbUTlRAGBSJaVQUoiY3BjGRIpUIcXdhLus+1EuRF2AjJQZffeaCTP9/hf7VV/P6zyv0iSjF0oKsevZLsztNNfi7WcURSEyJ1KvR+XnOz/DUeCIr7qx4+Ngm6ySLPx460fM7jgbbeu0rfDz54nyMNZrLDeW2EhYFSlujm5Y6LMQy24se+eESnRONCacnIBue7ohT5SHS1Mu4eb0m4xOXDGE5b2Wcx4VFmlYvSG2DdvGJdOzhKPAkTPTG8GCBQvw8uVLHD16VOdzli9fjoKCAgREBqDeD/XQsH5DAMDt+NsmJdPro0BSAJFcVEakqFcqaJFCUqT5lRT1dq9S15p0JUVDpLwxztOiSdXuJS3S8KMA5VdSatprF3jWVtZwFDiicfXGZaZ+aSM6JxrOAmeT7ka/SH8BAOhQt4PRx2rjcfJjiOQiDGgygJH1dHHq1Sn4uPsYPFhAHXPM9ApSocpGIUBgervpRp+fLf5+9jdEMhEWdV1k6a2AIAi9ZvrXua+xN2gvlvdcXubnpqqwMmAlCILAmn6WGZvcvGZzfNjyQ4ucuyrDqkghCAI/9f0JK3uvfGeESmZJJhZcWgDvHd54lPwI+0bvQ9CcIAxtPtQid2g4Mz37qCfTc0KFeUpP/YrLi7P0liolCxcuxPnz5xEQEID69XWbVq1trPF36N8YfHww6jvXx/Xp1wEAhz48hPOR5zHnAnM9+alFqQCgU6SoG+cpyvx2rzJQynUpUG89Gm9+PHkEDwpKoaykyEWq/dD7K92elSfK0ylS7K3tVceWhqRIpBalYkGXBRjUdBBGHxuNwJRAnVuOzlWa5k35ffE87Tls+baMZXz4x/mjhm0NtKvTjpH1tFEiLcGVmCtGtXqVRptQGXFkRLlCxT/OH2nFaQCAgU0Gwt3J3eQ9MIlMIcOmx5swpc2USrOn0lO/LkRdUH1vzZ01qO1QG/M6z7PgDk0nOD0Yfz//Gz/2+ZGVFnwO9mDdk6IuVNbfW19lR7GJ5WL8du83NNvSDP++/Be/9P8FUQui8Gn7TxlL/TUVdaFyPOy4RffyrkILlSsxV5AnzrP0dt45aKGyotcKNKze0NLbqVRQFIUFCxbg9OnT8Pf3R+PGjXU+N7kwGcMOD8PX17/Gl92+xL0Z91RG5WHNh+HUxFOY23kuY3vTJ1Lsre1hxbOCVCGFjZUN5JQcVoR5n5XaPCl05aR0JYV+roCvvd2rtEjJF+ejuqB6mXNmlWTpbPUClL5LGSlDE5cm8Jvgh5/6/oR2dXVf9EfnRpvlR2lbpy1jYs8/3h99G/Vl9XfYlZgrEMlFZokUoKxQuZVwq9ypX+qGeSbf9+ZyPOw4kguT8XX3ry29FQ1oofL7oN/Ru6FyKMerrFf49+W/+KHXD6zn6LABRVH48uqXaFGzBb7o8oWlt8NhJBUygpgWKqHzQlHboTYUpKIiTssIFEXheOhxeG3zwoqAFfis/Wd4veg1vu3xbaX6gXVzdMOTWU+wvOdyAOBGu7LA7E6z8XLeS7jYuaBQUshVVBjG2dYZS7svBY/g4VL0Ja716w3z58/Hv//+iyNHjsDR0RHp6elIT0+HSCRSPSdXlIsfb/0Ir21eCM4IxpWpV/D7oN/LmKFHeo6Ej7sPpAop/nzwp9mtX7RIqedYT+PxYmmxKs1dqpBCYCWAnJSDb8WCJ+VNJYUWQCRFanxfm3G+SFKkkTYP6G/30teapR7kKOALsKznMthY2eBx8mOtrV/ROdGmT/ZKe46OdZnxowhlQjxMMi5U2BROvTqFdnXaoalLU7PXooWKIWb6XFEuTkecBqDMvhnRYoTZ52cCiqKw4cEGDGk2BK1ra/eVWRIewcPX3b+Gk8AJUTlRmHF+Buo71beYud9cTr86jVvxt7Dxg40VPkGNw3wqLCeFIAi4O7lDTsox+tjoKtH69Sj5Ebrv7Y5JpyahXd12CJ0Xis1DN+vsTbY01W2rgyAIXIi6gJbbW3KtXyxgy7eFVCFF7329uRwVlqAoCr/d/43zqLxh586dKCgoQN++fVGvXj3Vv8ePH0dqUSq+vvY1GmxsgN/v/445neYgYn4EPmj2gd41n6U+w/Kby832qKQWpcLFzqVM3oB6pUKikMDGygYyhczssbmlRxCrKikUVGuXqaSotXvRN5aKZdorKdqM89mibL0tIrqCHLc+2VrGo1IoKURGSYZJIkUoE+JV9ivGTPP3Eu9BRspYFSkSuQQXoi6YXUVRhzbT039/ujwqR0KOqCYpfdb+M1anlxnDjdgbCM4Ixjfdv7H0Vsrlt3u/4VHyIwxoPKBKjosXy8X4+vrXGNZ8GIY0G2Lp7XCYQIWHOVoRVuhYr2Ol9qjE58dj8qnJ8N3jC7FcjJvTb+LcpHMGzxK3NB3rdQSfx+c8KixhY2WDeZ3ncYGPLEEQBM5POs+Z6d9AUZTGv2KZGGdencHlapfReHNj/PP8H3zZ7UskfJmAPz/4E862ZRPTS+Pr4Qu/iX44H3neLKGibbIXoKxU0BeRqnYvUs7OZBsKGp4U+udRQSkr9urGeV2eFJIiUSgp1FpJySrJKreSYsu3LTM5bc+oPWWS6aNzlNlLpgQ5hmSEgKRIdKjHjGneP84fdRzqoKUrM/4WbVyPvY4iaRHjhmEfdx/cnH5Tr5l+97Pdqq9ndpzJ6PnNYcPDDehQtwP6Nepn6a2US7YwG442jtj/Yr/RyfSVgb8e/oXkwmT8NfgvS2+Fw0QqXKRUZjN9oaQQy28sh9c2L9yOv429o/bi6aynrJfDmYYz07MPl0zPLqXN9M/Tnlt6SxZDQSrwPO05NjzYgOFHhqPWH7Uw9vhYRGZHYl3/dUj4MgFr+6812hBKJ9PTQsWU+f26RIp6pYKesCUjZWZ7UtQhCELV6qXe7qUgFar0eQA6RxCrTykqlBSCAqW73ctOt0hJLkxGfaf6ZYzw6sn0o4+NxrXX11QBsaZ4Up6nPQefx2esRcg/zh/9G/dndeDLmVdn4FnTE961vBlfW5uZftjhYSiRliAoLQghmSEAlJPQKktbVXB6MK69voZvun9TaUYh6yIwJRDno85j27BtKjP9weCDlt6WwaQWpWLd3XVY5LOoytxg5iiLRQY200IFAJbdWAYfdx/0bdTXElsBoJxzv+f5HqwMWIliaTGW9ViGb3p8Y3A4V2WEFip99/fFnAtzcGP6DUtv6Z2DTqb/4tIXmNJmCnw9fC28o3cLWqjM+m8WXOy0Bxe+K1AUhVxRLlKKUhCdE41X2a/wKvsVIrIjEJEdAaFMCDu+HXo06IHven6HMV5jGLnwo4XKvcR7JgmI1KJUrRcA6pUK9UqK2e1eWm4GkBSp0e5FUiSsedYqX54t31bV7kW3pRVJilDN+u3ne55IOQxDayVFmKVXAKYWpcLdUfuEJlqozL4wG7Xsa+Fx8mO42rtqPU95PE97jla1WpVprTOFIkkRnqc9Z9VnoCAVOB91HjM7zGTtgpwWKv0O9INQJsSdxDsYeXSkRqWqMiXMb3i4AQ2cG2BCqwmW3kq5rAxYiZauLTG1zVRMazsNtnxb1KtWr/wDKwnf3/wedtZ2WNlnpaW3wmEGFkuVoYVKzwY90adhH0ttA1djrmLptaUIywrD9HbT8Uv/X1DfSfd4z6oELVS4u/zsMafzHPRr3E/1S5GiqEp/h6wq4WzrjBMTTgBQXkgmFSYZFMSlIBUQyUUQyoQQyd78Vy7S+FpOyqEgFVBQCpAUqfpaQb75/zdf09+nKAokRSq/htrXBj4ulAlRKClEkbQIRZIija+zhFkaoYcudi5o6doSHet2xNQ2U9HFrQt83H1Y6Qsf5TkKozxHAQAeJD1AF7cuBhtMU4tStbat6DLOMz1FioKyBY4Eqfq5o0CpghyBt+1ednw71XNKt3vli/MBlBUpClKBXFGu3navlKIUnSKFPv+BMcpWmQ0PNqCuQ12j/5wA8DyduaT5B0kPoKAUrP7ufZD0ANnCbIzxGsPaOYC3QmXQoUEolBQiID4At+NvAwCsedaY1HoSq+c3lKSCJBwLPYY/Bv1R6QP97iXew9XXV3FywknVz+yWoVsAKH8mHiQ9QK+GvSy5Rb08S32GA8EHsGPYDpNuCHBUHiz6k0IQBAY3HQwAOBF2AokFiRU2ki8sMwxfX/8aV2KuoHfD3gicFVjhQYwVAd2KkVWShU/PfYotQ7YwMmWF4y20QFl7Zy0ySzKxechmTqgwgIJUIEeUg4ziDGSWZGLd3XV4mPwQk1tPhp21HfLF+cgT5yFfnK/6t0RaApFcpHHBbyo8ggcrwgpWPCvwCJ7qXwKE5v8TRLnfI0DA3toejgJHOAmc4GrviiY1msDRxhGOAke42rvCzdEN9arVQ1OXpqhlX6vC30OZJZkYdGgQhjYbiqPjjpYrVHSlzQNKEUDfdVUZ5xlo9ypjnKcoUIRSqKhXUmysbCCWiwG8bfdSn8ZoqEjJF+eDpEj9IqUwBT5uPgbt/07CHaQWp+JqzNVyhxuoI1VIEZIRgs/af2bwMfq4nXAbdRzqmOSNMZRzkedQt1pd+Lgb9tqYA22mH3hwIIqkRSChnPA2odUEgzxaFcHmx5tRzaYaZnaoPP4YbVAUhRX+K9CuTjutXqLDIYfx6dlPsW/0PnzS/hML7FA/FEVh6bWl8K7ljVmdZll6OxxmUmnkfHhWOH66/RNIisS3Pb5l7TyZJZlYHbAau5/vRuPqjXF64mmM8Rrzzl9UykgZonOi0e9APwR8EsAJFRao7VAbKwOUpWVOqOinRFqCpMIkJBYkIrEgEUkFSUgsVP43oyQDGcUZyBZml7koJUBg34t9aObSDG6ObqhhVwMtarZAdUF1ONs6o5pNNdjx7WBnbQd7a/syX9tb28PO2g52fDvweXxY8aw0hIj61+8btR1q4+i4oxh/Yjwmn5pcrlDJFmZDRsp0ihS6kiJRSGDLt1VWUhj0pABQVa5Ke1Ksrd62e9GVFPUwxtKJ87pESpYwCwB05qTQQs3QQL4SWQmauzTH6GOjcW7SOYOFSnhWOGSkjLGk+TsJd9C7YW/WPqMoisLZiLMY1WJUhf0s+bj74Mb0G+i+p7tqaMLI5iMr5NzlUSAuwO5nuzG/y/xKn9juH+eP2wm3cX7Sea1/d9PaTsO9xHv47JxSMFc2oXIu8hxuJ9zG5amXK33FiqN8Ks3f4Oo+q0FSJJbdWAYAjAsViVyCzY83Y+2dtbDiWWHDoA2Y7zO/0owlZBt1jwonVNhhdqfZAKBK9H6fhQpFUUgrTkN0TjSic6MRnRONmLwYxOXFIbEgETmiHNVzCRCo51gPDZwboL5TfXjX8kZth9qo41BH+d9qyv/SGUsf/PsBInMicXTcUXRy62TBP+W7B+1RMUSoJBYkAgAaODco8z31SoVYLoYt35aZEcSU7kqKeruXNc9a1e5Fe1Jo0zxJkSiRlmhUUgolhQCgyt+gyRZmA4DOSkq+OB8iuUirUCtNrigXeeI8bB26FcfCjhklVJ6nPQcBQm9IpKEIZUI8SXmCvz5gb+JReFY4Xue9VrUIVRQ+7j5Y0m0J/nj4B3gEDzue7sAIzxEW95fufrYbEoUEi7ousug+yoOiKKwIWAEfdx+duTJ04COASidUpAopvrn+DT5o+gE3cvgdodKIlNJm+hq2NRgp1VEUhQtRF7Dk2hLE5cXhiy5fYHWf1ZU264RN1IXKgIMDED4/XOPuIof5qAsVz5qemO8z38I7YheZQobInEiEZIQgNDMUUblRSkGSG4MSmXIcKAECDas3RHOX5vBx98EE7wnwcPZAA+cGaODcAG6ObkbdLLg67SqGHB6C52nPOZHCArRQ+e7Gd8gR5aBuNe0eioSCBABAw+oNy3yvtEgR8JWeFB6P2bvqtCeFAgUCSpFCkqRmJcVKs5IikolAgdK4cC2QFMCWb1vmfZhVoqyk6BIpdJilPk8KDT1+2LuWN/wm+GH8yfG4n3TfYJHi6erJyMX24+THkJEyVv0oZyPOoppNNYtMxgzJCoFvfV/8OfhPfHzmY6QUplh0upNUIcXmx5sxrc20MqGnlY3LMZfxKPkRrk67qvcGm7pQuZVwq9KIlO1PtiM2LxZnPzpr6a1wMESlESnAW6FS064mhrcYbvZ6r7Je4curX+La62sY1GQQzk06x8ooxKoELVTuJ97nBApLzO40G3Wr1cWAxgMsvRXGoCgKSYVJCMkIQUjmm38zQhCRHaEa9erm6AYvVy90q98NH7f9GM1rNkdzl+ZoUqMJo4ZvZ1tn3P3srqqUn1mSidoOtRlbn0MpVIY1HwY+j488UR6q2VQrU1FJLEiEHd+uTD4IoJmTIpaLYW9tDxkpA0/P1HtaZOhDvf2PAAFQAAnlcAL6okpOyTU9KXxNT0qRtAgAylRSnAVlvQvZwmwQIHROl0spSgEAgyop9PjhZi7NIOALcOajM6oWtfLew8/TmDPN3064DRc7F7Sq3YqR9bRxLvIchjYbysgkMmNILkzG1Zir+N+I/8HXwxcRCyLA5/EhlAlBUqRFKirHQ48jpSgFS7svrfBzGwPtRenVoBcGNRlU7vNpoUJXNy39OZwjzMGaO2swu+NsVt/bHBVLpRIpgFKoLO62GIDyTf9f5H9GBzHli/Px460fse3JNjSq3gjnJp3DyBYj39vWm9K4ObqpRiBuerQJozxHoUmNJhbe1bsFPS0pLDMMx0KPYU2/NVXm/Scn5QjPCkdgSiCepT3Dy4yXCM0MRYGkAADgaOOINnXaoLtHd8zpNAdt6rRB69qtK3RMMC1QDr88jIWXF+L6x9e5qgrD8Hl8kBSJwf8ORkPnhmVavxILEtHAuUGZ9zU9WU09J8XFzgX54nxGKykqwUJpTtVTjSBWvK2kqLd70YF/GpUUcUGZVi9AKVJc7Fx0TiWjKymGiJSonCjUq1ZP5Umg38MBcQEYeXQkTk08pbWqoiAVeJH+grHU9jsJd9CrQS/WvCIphSkITA3E4q6LWVlfHweDD8KWb4uPWn8E4O1rPPX0VOQIc3Bp6qUKFSoURWHjo40Y2mxopb9BeibiDILSg3D709sG/67iETyAULb3+fztg+3DtlusqrLm9hooSAV+6veTRc7PwQ6VTqSoczLsJBZcXoAcUY5BHhUFqcCeoD34wf8HiOVi/NL/F3zZ7UtWxna+CxRJirAjcAf+evgXbn16ixMqLBCYGoi1d9ciX5yPLUO3VDqhQlIkonKiEJgSiKepTxGYGogX6S8gkotAgICXqxfa1W2HYc2HoU3tNmhbp63WC1NLMaLFCGx9shUDDw3EjY9vcEKFYXgEDyt7r9TqUUkoSNDa6kW3+Wm0e1kJlJ4UhvOD6QoKSZGqSoy6cZ4ehKDe7kXvz8HaQbVOgaRA6xSo8jJSUgpT4GrvatDvmOjcaK0hjt09uqN/4/46PSpROVEQyUWMJM1L5BI8TH6IX/r/YvZaujgfeR58Hh/Dmg9j7RzaoCgK+17sw3jv8WUE57fdv8UH/36AYYeHVahQuZNwB0HpQbg67WqFnM9UFKQCqwJWYVCTQejdsLfRx3u5emFKmykW86hEZkdix9MdWNtvLVdVf8eo1CLliy5fIKMkwyAz/Z2EO1h8ZTFepL/A9HbTsX7AeoPubr3POAocVR6Vvvv7ckKFBT5t/ykkcgnmXpwLABYXKiXSEgSmBuJB0gM8SHqAh8kPkSvKBQA0d2mOzm6dMcF7Ajq7dUaHeh0sbjgtDzrw8YN/P+CECkvoMtMnFiSifZ32ZZ5fLC0GAFXFgDbOy0m5xnufAFFmepuxqHJSKFL1GN3uRU8VAwCRXKS6cKUrKertroWSQp2VlPIyUgz9PROdE432dduXeZwOfJxwcoJWofIi/QUAaD3WWJ6mPoVYLmbXjxJ5Fn0a9kENuxqsnUMb9xLvISY3Bn+P/LvM93w9fFWfExUpVDY+2ohWtVoZ1D5lSU6EnUBYVhj2jNpj0vGWNtN/c/0b1Heqr+rC4Xh3qNQipbSZngCBb3p8o/GcxIJEfHP9G5wIOwEfdx88mvkIXet3tcR2qyTqZvq++/vi7md3td4d5TAdOpl+7sW5sLO2w++Dfq+wc6cUpuBe4j08SHqA+0n38SL9BRSUAk4CJ/jW98XirovhW98XXdy7VNnQK3WhsvrWalyYcsHSW3rnoIXKxJMTcSv+FgY1HYSE/ASM9hxd5rm0SFG1e6mNIDanxUhbKC39GIW37V4KUgFrnrXKsA8oJ1rRAwBUlRSbUpUULZ6ULGGWXpGiL22+9D6jc6MxwVt70ri6UPnu5ncY2GSgqsUsOCMY9Z3qM9JOeTvhNhxtHBmZEqaNAnEBAuICWJ0cpou9L/aiSY0mOisB6kLFL9wPn7b/lNX9xOTG4HzkeeweubvSVJ61ISflWH1rNUa0GGHWtZO6UPnB/weM9x6v8TPGFjdjb+K/qP9wfPzxCvdAcbBPpRYpwFuhQoDQKOMJZUL8cf8P/Hb/NzjbOuPAmAOY1nbae5lvYC60UFkVsEpvawOH6czpPAdWPCtWw9MAIL04HQFxAbgVfwsB8QEaZt3uHt0xq+MsdPfoDu9a3oynf1sSWqio+xK4zwJmGeU5CjGLYlDfqT5EMhGyhFk6xw8DKDuCmJSZNfJdW9WFfky93UtOylXtXgIrpUgRycp6UtTbvQolhajjUKfM+tnCbL3ZJClFKWhXp/wL/sySTBRKCvX+/NNCpUBSACueleo9HJwRbNA5DOFOwh30bNCTtfyIyzGXISNlKk9eRVEkKcLJsJNY1mOZ3p97Xw9fhM8PR32n+gDY/ZzY8ngLatrXxNQ2U1lZnymOhBxBdG40jo0/ZvZatFBJK0qDg40D65/DClKBpdeWortHd503ADiqNpVepABvhMobMxRFUfj5zs/YE7QH6cXp+KrbV/ih1w+VPiCpsuPm6IZ/Rv0DQGn2tuXbcjkqDPN5x88BKC+ijoQcwcdtPzb7DltmSSZuxd9SiZKI7AgAQEvXlhjYZCB+6f8LejfsjTrVyl6AvWvQnoLXua8x5vgY7B+9n2v9Yhj64m6F/woA2kfvahMpAivlCGJz7nRqq6TQ0O1efB5fKVLeGOfpSopYLlaJFKFMCKBUJUWsvZJSXrtXalEqhjUr33vxOu81AJT7mSrgC1CbXxtZJVkYcngI1vVfh5cZL/Fpu0/LPUd5yEk57ifdxw+9fjB7LV2cjTiLjvU6ahWvbHIy/CSEMqFBLUb0e/hQ8CHsCdqDC1MuMN76lS/Ox96gvVjiu0Q1Va4yIifl+PnOzxjtOZqx6XE8ggd3J3cIZUIMPTwUM9rPYK31a/+L/QjOCMajmY8qdbWKw3SqhEiheZH+Ap+c/QQvM16ipWtLhH0RhmYuzSy9rXcKiqIw9+JcJOQncIGPLHEr/hY+OfsJnqY+NTrwUaqQ4n7ifVyJuYKrr68iOCMYANCiZgv0a9QPP/b5EX0a9dGZbfE+4GrvCgdrB86jwiL0Bf2GBxvQu2FvjalfOispCplBY4Z1oc+/QosUa541pAqp0pMi1/Sk0F/T7V6GeFKySnS3e8lJOdKL0w1Km4/NiwUAgz1/TgInuDm6YfSx0ZAoJIy0ZwWlBaFYWsyaH0Uil+BS9CV80/2b8p/MMPte7MPAJgONEkfNXJrhedpzVjwq/zz/BzJShi+6fMHYmmxw+OVhxOTG4MT4E4yvbcu3hWdNT9Y8KkWSIqwIWIEpbaZwLf7vMFWiHyKrJAtzL8xFp92dIJVLMaXNFLzKfoXTr05bemvvHARBqHo7+x3oh9e5ry29pXeOgU0G4n8j/oetT7Zi8ZXFeu8QA8rKwI7AHRh1dBRcfnNB/4P9cSD4ANrXbY9/x/6LlCUpiFwQiV0jduGj1h+91wIFeNv65VnTEwMPDcSz1GeW3pJF2L59O7y9vdGlSxfG13ZzUprFb8bdxORTkyFTyFTfK5Jo5pDQYkGqkIJH8FTtH8YKljI/J2r/qyAVoCgKfB4fMlIGaytrVQUHeCuUAGW7lx3fTqMNRdt0L5FMhBJZCWrZa2+BzSjOAEmRBhnnX+e+Rh2HOgZfCAv4AvhN8FO1mhVKCg06Th+3E27Djm/Hmmi/FX8LRdIijPYq61Nik6icKNxLvIcZHWYYdRztUXmR/gLDDg9TiWtzkZNybH2yFZNbT67Un8V0FWWM1xhGJseVhm79+rzj5/js3Gc48OIAo+v/fv935IvzsX7AekbX5ahcVGqRIifl2Pp4K1psa4Fjocfw1+C/8HLeS/w79l+s7L0Sy24sw+/3K86E/L5Ae1Q4ocIeszvN1ilUSqQluBB1AQsvLUTzrc3RbGszLL6yGEXSIqzovQJBc4KQujQV+8fsx9S2U7kpdlpQFyojj46ESCay9JYqnPnz5yM8PByBgYGMrx2bF4uGzg3hN9EP5yPP49d7v6q+R1/s0Z4P2sAuI2UaIsVYyq2kEIC1lTVkCpnWdi/1Sop6qxdJkSiSFJWppGQLswEwkzYfmx9r9OREAV+AsS3HgkfwsPjKYmQUZxh1fGnuJNxBd4/uZvmC9HEu8hwaV2+MNrXbsLK+Lva/2I/qttUxxmuM0ceqC5UlV5cwsp/Tr04jsSARX3b7kpH12OLfl//idd5rrO6zmrVzlBYqoZmhjKybWJCIDQ83YKnv0gpvLeSoWCptu9fdhLtYcHkBQjJCMKvjLKztv1bD1E1P/br2+hqW+C5hzQj4vkILlZFHRyK9OJ1r+2KB2Z1mA1CmScfnx+Ni9EWcjzyP2wm3IVVI0ah6IwxtNhQbBm1A/8b9Od+VkdBCJTQztFL3hVdFYnJj0MylGUZ5jsL1j6+js1tn1feKpcWw49vBimcFOSmHglKoKikECFgRVpBDbvQ5S1dS1EULSZGgKEqz3Ush0aik0O+BEmmJRqtXsbQYFKgynpTyRIoxafOvc1+b9BkalhWGDnU74LeBv5nlK1OQCtxNvIuvun1l8hr6ICkS5yLPYaL3xAr1BpAUiUMvD2FSq0km+518PXxxc/pNNKreiJE9bXy0EX0b9WVkZDRbyEk51t5Zi7FeY1nfJy1UPmz5IVrXbs3Imt/f/B7OAmcs67GMkfU4Ki+V7so+rSgN3974Fv++/Bdd3bviyawnGr8AaeipX3JSDj6PX67BkcN43BzdEDgrEDyCBzkpR0ZxhkH91xzlQ1IknqU+Q1JBEh4mP0STLU3AJ/jo26gv/hj0B4Y0G4LmLs05M6CZONs6o0eDHiApEl9d+QrT203nPCoMEJMbAx93HwBAn0ZKj0N4Vji2PN6Cug51VVUJsVwMAG89KQShs5JSXvuXQZ4UK2tluxfPGkKJEAK+ABRFQSTT9KSUnuwFoEy7Fy1SdE08TC1KBZ/HN2giYmxeLAY0HlDu80oTnB6MLm5dMKDJAFAUhTW316Bb/W5ak+n1EZoZinxxPmt+lGepz5BalFrhrV634m8huTAZ09tNN2udLu7KlsiUwhT84P8Dtg3bZpJH5VHyIzxKfoRzk86ZtR+2oasofhP9KuR8PIKHIc2GAAB2Pd0FO76dyR6VJylPcDjkMP4e+Td34+49oNK0e8kUMmx8uBGe2zxxJeYK/hn5Dx7MfKBVoNAQBAFrK2tkFGfAe7s31/rFAvQFxfIby+G7x1dlAOUwHqlCiisxVzD7v9lw/8sdPv/4YMfTHWhbpy12Dd8FvhUfXq5eWOizEC1qtuAECoMIZUI8Tnn8XntUmIKiKFUlRZ24vDjsDdqLI6FHVCJFIpcAwNtKih6RUh7qgY3avqfypCjeelLo0ccUKJVIEcqEZSZ7AdDZ7lXTrqbWc6YUpqBetXrl/nmEMiHSitOMrqRIFVKEZ4WrTPMKSoFnac8w+thoXI0xLsH8dsJt2FjZqIQl01yIuoAatjXQs0FPVtbXxcHgg2jm0gzd6ndjZL2UohScfnXaZI/Kpkeb0MylGUa0GMHIfthAppDh5zs/V0gVRRtBaUEme1QoisKSq0vQtk5bfNb+MxZ2x1HZqBSVlFvxt7Dg0gK8yn6FeZ3nYU2/NUYFV9V2qI25necalEzPYRpf+X6Fc5HnuGR6IxHLxbj++jpOvTqFc5HnkC/OR9MaTTG1zVSM8hyF7h7dNVoVK0sy/btGNZtqXDI9Q2QJs1AkLSojUoa3GA6/iX4Ye3wsnAXOkClkqkqKwErpSSFgukgp0+5FlWr3wtt2L9qT4mjjqFHNAfRUUkq1e+WKcmHNs9Z5Rz21ONWgynJcXhwAwyd70URkR0BGylQZKXweX28yvT7uJNxBV/eurLU9Xoi+gKHNh1Zo23WJtAR+4X5Y1mMZY5+VPu4+JifTJxYkwi/cD5uGbKrUGU3/vvwXsXmxOD3RMoOHdo7YCQqUSVO//ML9cD/pPq5/fP2dyvni0I1Ff5JSClMw+dRk9DvQD04CJzyd9RTbhm0zOlmXbv3izPTsoW6m77u/L1dR0YNQJsTpV6cx9fRU1P6jNkYdG4XHKY+x0GchXsx5geiF0dgwWDm6Vf2X+pzOc7Br+C5sC9yGRZcXlTv1i8M4Sk/9ismNsfSWqiT066Zt/Psoz1HoXr878sX5+Py/zzUEglQhBQBWjPMKSjndi273okcQC/gC1R7UwxxLp80DZSspOaIcuNi56LwATilMMcg0T2ekGCtSgtOV48Xb1mmreowOfBzcdDBGHxuNR8mPyl2HoijcSbijM4ndXFIKU/A87TmGNx/Oyvq6OBNxBiWyEkxrO43RddXN9KOPjTb4c3jbk21wFDiynmRvDnQV5cOWHzIy1toUSpvpz0acNeg4sVyMZTeWYUSLERjYZCC7m+SoNFikkiJVSLH50WasubMGdnw77Bu9D9PbTTfr7gMtVADg5zs/Y2qbqZx/gmFoodJ3f1/sDdqLtf3XWnpLlYZiaTEuRl3EqVencDH6IoQyIdrWaYuvu3+N8d7j4V3L26B15nSeAwBYd28dVvZZidoOtdnc9nsHLVS2PdmGxtUbW3o7VRJapOi66K4mqIZu9bthRvsZkCjetnvJFDLwYMZ0L33GeVJZSeHz+BDJRMrE+TfGeXqym3olpYZtDdWxujwpuaJc1LTX3uoFKFuDvFy9yt13bF4sbPm2qFetXrnPVedlxks0qt6ozL5oofL7/d8NSqKPyI5AljCLNT/KpehLGp6DiuJg8EH0btgbjWsw/3NMC5WUohSDqjTF0mLsfrYbszvNZjwYkkkOvTyEuPw4nJ101qL7oIVK4+qNDRbPWx9vRVJhEi5NvcTy7jgqExUuUm7G3sSCywsQlROFBV0W4Kd+P6G6bXVG1qaFyswOM+Hu5A6SIit12bUq4ubohkefP1L9ndH93+8jErkEl2Mu40jIEfwX9R/EcjE61euEFb1WYJz3OLSo2cKkded0noNpbafBwcZBNYmIa/1iDmdbZ/zQW5m6HRAXACeBE9f6ZQTROdFwd3TXmJClTqGkEJ6unujTqA+epDwBoPxsVlAKAMoLFAKE8j1tRLFQr3EeJEiKhDXvrXGe9qSUafeSlqhSxwGlJ4UAUebikq6k6CK1KNWwSkruazSp0cTon+HgjGCdIkTAF2Bln5XK56UHI6MkA4ObDtb63HuJ98AjeIz5NkpzIfoCenj0MLoDwhxSClNwI/YG/h75N2vn8PXwBaAUx/979j9MaztNpwDZ/2I/iqXFWOizkLX9mItMIcPaO2sxruU4jeqcpeARPCzvtRwAkJCfgMcpjzGx1UStz80qycLau2sxr/M8g24McLw7VNgVfFJBEiaenIiBhwbC1d4Vz2c/x+ahmxkTKDQEQaBh9YZQkApMPjWZa/1iARc7F/AIHq6/vg7vHd7vVY6KglQgIC4As87PQt0/62Ls8bGIzo3GT31/QuyiWDyd/RTLey03WaDQONg4QE7KMeDgAIMCHzmMh6IorL27ljPTG0lMXlnTvDoF4gKVvyMkIwQAsMJ/hfKbxBuRYoLo1ldJAZS+FGsrzcR5gZVAqyfFnq+ZNu8ocCxzQytXlKvTNC+UCZEvzjdo/HBsfiya1jB+/LA+kaLOxkcbMeroKJ1m+vtJ99GuTjtWJiGJZCLciL1R4UbxwyGHIeALMN57POvnSihIwLfXv9VppicpEpsfb8Z47/HwcPZgfT+mcjD4IOLy47CqzypLb6UM/zz/B5P8Juk006++tRo8gsdqpgtH5YR1kSJVSPHrvV/htd0LdxPv4tDYQ7jz6R3W+yF5BA+eNT05jwqLtKrdCgSIdz7wkaIoPE97jq+vfY2Gmxqi/8H+uBl3E/O7zEfYF2EImhOEb3t8y3jbAZ/Hx4wOMwxOpucwDoIgcHri6fc+md5YtE32UqdQUqjyd9A/E7cTbgNQtmXRlRRj0VdJAfC2kvKmukuHOZYWKWWme0kKyvhRACBHqLuSogpyNKClmK6kGEN6cToySzIN+j35vxH/w6Cmg3RO/bqfdJ+1qVu34m9BKBNWqEihKAoHgg9gjNeYMq1wbNCoeiO9yfQXoi4gJjemUoc3yhQyrL27FuO9x1eKKkppfur3k85k+ojsCOx+thsreq3Q237J8W7Cqki5GXsTbXa2wQr/FZjTaQ4iF0RiWttpFdK6wpnp2eddT6Z/nfsaP9/+Gd47vNFpdyccDD6IsV5j8WDGA7xe9Bpr+6812GtiKvqS6TnMp7SZnhMq+qHHD+urDBRI3lZS6BHEGwdvBAAEZQQBFBippJT5/htPCt3uVbqSoh7mWHq6V+nJXoD+SkpKoTLIsbx2L5IiEZcfZ3QlRZtpXhcCvgB+E/y0CpWM4gzE5Magh0cPo85vKBeiLqBx9cZo6dqSlfW1EZQehPCscExva142ijGom+lLC5WNjzaiW/1urLXTMcGB4AOIz4/Hqt6Vr4oClDXTqwuVZTeWoYFzAyzwWWDBHXJYClY9KeFZ4ahbrS5OTTzFWNKoMaib6ZfdWIb2ddvr7NvlMA11M/2n5z7FnU/vVGn/RK4oF0dDjuLQy0N4nPIY1WyqYazXWGz8YCMGNB5gEf8NnUw/98JcjGs5ThWex8EMtFD59Nynldr0WhnIKMlAvjgfLWtpvyglKRJFkqIyYY79m/QHANhY2UBKScEDDwooNI41J8wRUFZp6HYv9UqKSF7WOG9QJUWPJyWtOA0AUM9Rvxk+pTAFUoXU6EpKaGYo7K3tDT6OFiqfnftMo63rftJ9AECPBsyLFIqicCH6AkZ7jq7Qz/yDwQdRx6EOBjUdVGHnBN4Kla1PtsKap/w98CL9BW7F38Lx8ccrdC/GIFVI8cvdXzDeezza1Glj6e3ohBYq1jxrlQ3gTsIdnI88j6PjjkLAF1h2g2YiU8jw2bnPsNR3KTrU62Dp7VQZWBUpX3T5Agt8Flj0opUWKl3cunBj61iCFioSuaRKChQ5Kce119ew78U+nI88DwWpwNDmQ3Fs3DGM9Byp0yBckczuNBs9PHqgVe1WAJQXCFXxta6sONs648xHZwAoJ/XE5cVV6l/oliIsMwwAdFYQi6XFoECp2nBokWJFKDMNWtdujeD0YFCgjK4Klvd8Em/bvWysbCBVSMt4UiiK0l5JKdU2RFIk8kR5OttL0orSYG9tD0cb/T4PelS7sUGOoVmhaFWrlVGDXwR8AY6MOwJAeUEUnBGM+4n30cC5gcagAKYIzQxFYkFihbZ6yRQyHAk5go/bflyhmSw0vh6+KkN9SEYINjzYAA8nD3zY8sMK34uhHAw+iPj8ePw3+T9Lb6VceAQP24dvB6D0f869MBed3TrrNNRXJbYHbseRkCNY4rvE0lupUrDa7mXFs6oUF1IEQWCk50jwCB4uRF3AhgcbLL2ldw43Rzc0rtEY+eJ8fHj8wyqRoxKeFY5vr38Lj40eGH5kOCKyI7B+wHqkLEnBf5P/w0etP6oUAoWGFiibHm3iWr9Y5Pub36P3/t5c65cWwrLCILAS6GxfKp3eTo8gVkEpKyIyUgYSuhPktWGIJ4XP46tCHSVyCWysbMpktSgoRZnE+dKVlHxxPihQOisp6cXpqFutbrm/317nvQYBAo2qNzLgT/iWkIwQtKltukje9GgTeu7tiYvRF1lt9XKwdmBttLE2rr6+iixhFqa3q7hWL21IFVIMOzwMR0KO4PMOn1tEMBmCVCHF2jtrMcF7gkW6Wczhq6tf4VX2KwxsPLDKT2lNL07H6lurMbfzXHSs19HS26lSVO2/eRN4lvoM31z/hvOosIRQJkRoZmilDXwsEBdgZ+BO+Pztg1Y7WmFP0B5M8J6AZ7Of4eXcl1jiuwR1qtWx9Db1Yse3w9YnW7nAR5b4ud/PnEdFB2GZYfBy9dKZ9lw6vV0sF8OKsFIJDAoU+ARf1S6jQTn3s8p7rytIhepihs/jq6Z8qYsUoUwIABqVFHUPDU2uKBcAdHpS0kvSDco9ic2LhbuTu6rVzBAUpALhWeFmXVQu6roIA5oMQGROpEYmDJP8F/UfBjcdXKFtOIdeHkLbOm0tFkRIY2NlgxEtRoAChcuvL2ud+lUZOPDiABILEivlRC99SOQSnI88jwbODfDb/d90Tv2qKnx7/VvYWNlw2XIm8N6JlFV9VnFmehapjMn0FEXhYdJDfHbuM7j95YaFlxeiTrU6ODXxFFKXpGLL0C3oWK9jpaj6GQKXTM8unJleN2FZYaqKnjbo9Hb1di/1tHkKyjZFPo9v9IQvQyoptHiiKyoCvjLMkc/jg8/jo0RWAgAaFVL1aWQ0OcIcANDZ7kVXUsrjdZ7xk73i8uMgkovMEikCvgBfdfsKAPBP0D86xxObSlZJFh4lP6rQVq98cT7ORZyrUMO8LuSkHBeiL2BE8xEIywzTOZ7YktBelAmtql4VZXvgdiQXJuPSlEs6p35VFe4m3MWhl4fw64BfKzRL6F2hctYoWaS0md5J4IS5nedaeFfvFupm+n4H+iHsizCLGJJzRbk4FHwIfz//G2FZYWjo3BDf9/wen3X4zKB8g8oMnUw/9+JcNHVpWqnHX1ZFaKHywb8f4G7iXS7sEUqxH5YVhmHNh+l8Dl1JUTfO02nz9BoEQaj+NUZgG1JJob0v9A0HGysb5InyNIIcAZRp99JVSdFpnC9KQ/OGzcvdc2xeLFrV0i3qtBGaGQoAZl9YBqYEopp1NfRt1BfXXl/DB80+MGs9dS7HXAYFSu97gWlOhp2EjJRhSpspFXZOXZyNOIvkwmT8N/k/iGQiTDo1qdL52A4GH0RCQQIuTLlg6a0YRZ4oD2vvrMXnHT9Hq9qtsGvELgDAxeiLmN5uepW5mQgoxez8S/PR1b0rPuvwmaW3UyV570QK8FaoVLetjiHNhlh6O+8ktFC5EXujQgUKRVG4m3gXu5/thl+4HxSUAqM9R+OvD/7CwCZVv7dVnTmd58DV3pUbCMESzrbOuPPZHdhY2QBQXri+z3fC0orTkC/O1zt2m/akqI8g1qikUJQybV5LFYWiKJWY0YYhlZTSP990u5f6ZC8AZYzzpSsp5bZ7GVhJic2LxcgWI8t9njohGSFwsXMxaH193E+6D18PX5z+6LTKM8HUe/hC1AV0ceti9h6N4eDLgxjcdHC5E9Uqgq1PtqJng55oX7c9ACB6YbQqQFRGyiw+JVBOyrH+3nqMazmuylVR1t1dB6lCih/7/gjg7dQvBakAQRBV6nN4+5PtCM0MReCswHfq2qMieW9fNYIgsMR3CRpVb4Q8UV6VLSVWZtwc3VQGx93PdrOao5JVkoU/H/yJlttbos/+Pnic8hhr+q1B8lfJ8Jvoh8FNB7+THxLjvMfB2dYZMbkx+OnWT1zrF8PQAuVU+Ck039r8vW79oid76asMFEoKQYBQVSrEcjEEfAFk5JtKCnRPpSNBYs6FOTrXJin9RnuSIlXih/5vGZFSqpIiU8ggkovKTPfKEeXAlm+rylZRR6aQIVuYXa4npVBSiGxhtvHjh7NC0aZ2G7PuGJMUiQdJD9DDowesraxBEATuJ95Ho02NzG79kiqkuPr6aoW2esXmxeJe4r1K0er1MuMl7iTcwUKfharH6M+JGednVIrWryMhRxCbF4sVvVdYdB/GEp8fjy1PtuDbHt9qCGAewYO1lTWic6LRZHOTKnG9ll6cjlW3VmFOpzlcJd4M3r2rNhM4EXYCn577lPOosIRQJsSfD/9kPPCRoijcjr+NSX6T4P6XO773/x4d6nWA/3R/RC6IxLc9vq30JnimeJj0ED/e/pGb+sUSA5sMRHOX5u+1RyUsKwy2fFu9F9105gh9Q6C0J4UWEtpavXjg4UrMFZ1rl9vuRSm0VlJEchHs+G+CHEtVUkob/Wn0BTlmCbNAgSq3iqAaP2xkkGNoZqjZd78jsiOQJ87TSJrv7NYZfRr10ZlMbyj3Eu+hUFJYoSLlSMgRVLOphtFeoyvsnLrY+ngr3B3dMdZrbJnvLeiyQGcyfUWhIBX45e4vGNlipKrSU1X4wf8H1LSriaW+S7V+v6lLU0xsNbFKeFSW3VgGa541fhnwi6W3UqXhRAqUGRScmZ497K3tEfBJAGPJ9MXSYux6ugttd7VF3wN98SL9BX4d+CtSlqTg6Lij6Ne43ztZNdHHx+0+5pLpWYQz0yvvILd0balzshdQtnVKopBoelKgu92LIAjsHb1X59qGtHuVrj6UrqSopnu9qaTQRn9txnl9fhQA5YqUuLw4ADBq/LBELkFUTpTZIuVe4j1YEVboWr+r6jF9yfTGcCHqAtwc3dChbsUE0lEUhcMhhzHWa6zFR8LnCHNwOOQw5nWepzXYV18yfUVxMvwkonKisLL3ygo/tzk8TX2KIyFHsKbfGg3PmDr6kukrE/cS7+Fg8EH8OpAzy5vL+3UlpwPao8IJFfZQn/rV70A/xOfHG71GVE4UvrzyJdz/csf8S/PRzKUZrn98Ha/mv8IS3yVwtXdlfuNViNmdZquEyjfXv7H0dt451IXKshvLLL2dctm+fTu8vb3RpUsXRtZ7nvYcnerpb1soEBdotE6J5WIIrAQalRQQ0NnKpM8jaIhxnl6XFjR0mGPpdi/6YldVSSnV7pUrztU72QsoX6TE58fDjm+H2g619T5PnaicKMhJudki5X7SfbSr266MN0JdqHx59UvISbnRa1+KvoRhzYZVmIE5KD0IEdkRlcIwvydoDxSUArM6zdL5HHWh8u/Lfytwd8qfr7V31uKDph+gizszP/cVAUVR+Ob6N2hVqxU+a6/fYK4uVL65/o3qZ7iyQJvlfdx9MKPDDEtvp8rzXhrntaE+9UvdVMnBHLRQ+e7GdwbfXVCQClyKvoRtgdtw7fU11LSriS86f4G5neeiYfWGLO+46jG702wQINDAuYGlt/JOQgsVBaUA8HZaVWVk/vz5mD9/PgoLC+Hs7Fz+AXoQy8UIywordxJioVSzkqKa7vXGk6LuGzEUWpwYVEkpz5MiKwGP4EFgpcz2KB0+SaOvkpJenA4CRLniIz4/Ho2qNzLq/RGSGQLA/MleD5IeYGizoVq/RwuVbGG2clSzEe/huLw4ROZEYt2AdWbtzxiOhBxBLftaFh8QoiAV2BG4A5NaTyr3797Xwxcv571EQ2fl76iK+pw4G3EWYVlh+N+I/7F+Lia5GH0Rt+Jv4eKUi3ortTS0UPmh1w9wEjhVqs/hnYE7EZIRgieznrx3HR1swL2CahAEgTX91mC+z3wAyhGOHMzi5uiGg2MPwknghOicaJ05KjnCHPx+/3c029oMo46NUg43GHMAyUuSsX7gek6g6GFWp1n4oNkHICkSx0KPca1fDONs6wwXOxckFSSh89+d34vWr5cZLyEn5YZVUgSalRR1T4qCVKi+V57ooPn8v88hU8gM8qTQ4oR+rjbjvIO1g+qCpvTIZBp9npT04nS42rtqbfdRJ74gHo1rNC7nT6dJaGYo6jvVR3Xb6kYdp05WSRZicmPQ3aO7zucI+AK4O7kjX5yPnvt6Gtz6dSXmCvg8PgY0HmDy/oxBQSpwNPQoPmr1kcVT3f+L+g8JBQkahnl90ALVL9wPAw8NZL31i6IorL2zFv0a9UOPBj1YPReTyEk5vr3+Lfo37q9TWGuDR/DQsHpDSOQSDDsyrFK0fmUUZ2BFwArM7jQbnd06W3o77wScSNHB/cT78PnHh2v9YpG5F+eWCXx8lvoMM87NQP2N9bEyYCV6N+yNx58/xpNZTzC93XSjkpvfd+4k3MHkU5O5wEeWcBI4wZpn/V54VJ6lPgOfxy83ByJPnKdxgS2Si2BnbaeZk6LDk6KLy9GXMfnUZJXQ0YU2AaQyzlu/Nc6r97vrEik5Ij2elOI0g0bvxufHo5Fzo3Kfpw4TpvnHKY8BAN3qdyv3uXZ8O9S0q2mwR+VyzGV09+hepj2OLe4k3EFqUSqmtp1aIefTx9YnW+Fb39foi093R3cEpgSy7lG5FH0JQelBVc6LsjdoL15lv8Ifg/4wqRpibWUNDyePSuFRWXZjGfg8Pn7pz5nlmYITKTro7tGd86iwzKGxh1TJ9Nseb0P3Pd3R+e/OuBF7A6t6r0LyV8k4MOYAfNx9LL3VKknfRn25ZHoWeZ/M9M/TnqNVrVbl3iTIE+VpXNwLZULY8e1UAsMUD8Te0XtxPvI8Fl1epPd5dAue+te6Kik0RdIi8AieavoXTXmVlPKyOiiKUrV7GUNoZiha1zJPpDxMeog6DnVUrUb6EPAFODnhJAY3HVyuUJHIJfCP8zfqbre5HA45jCY1mqCre9fyn8wiYZlh8I/zN7iKok5FmOkpisLPd35GD48e6NuoL+Prs0WxtBirAlZhWttp6Fivo0lrVBYz/f3E+zgQfAC/DvhVp5+Nw3g4kaIDzkzPPg7WDpjcejLSitOw8MpCKEgFTk88jdjFsVjeazlqOdSy9BarPHM6z+GECouoC5VhR4apjNnvGs/SnpXb6gUoKyk1bGuo/l8kE8He2h4yUgYbKxuleCCgfbqXjurKkGZD4DfRDzfjbuo9t1bjPF9QZrqXeiWlSFIERxtHjTu4clKOfHG+Xk9KeZWUfHE+CiWFRomUIkkR4vLNTy1/lPIIvh6+Bt+VVhcqY46PQUphitbn3Uu8hxJZSYWJFIlcAr9wP0xpPcXifoOtT7aibrW6GOc9zqTj1YXKgksLGN4dcCP2Bh6nPMbK3ist/loZw4YHG5AvzsfafmvNWqe0UAlKC2Joh4ZBm+W7uHXBzI4zK/Tc7zqccV4P6mb6c5Hn8FW3r8rtQ+Yon7i8OGx5vAV7gvZAJBdhtOdovMx4iXUD1mFAk4rpdX6fmNNZGZB3L+keSIqEFVG+MZHDcGih8iztmc7RmVUZiVyC0MxQfN7x83KfmyvKRQ07NZHyJqNEqpDCmmdtUiUFAEZ5jsLeUXvx8dmPdT5HvZJSxpNi9dY4X7qS4ihw1FgnX5wPAHqne/Xw0N/zT08vNEakhGeFAzDPNK8gFXiS8gQrehkX4kcLlZtxN+Hu5K71OVdirqBetXpoW6etyfszhkvRl1AgKbD4VK88UR4OvTyEb7t/qwptNAVfD1/cmH4D7o7aX19z+PnOz+ji1gWDmw5mfG22SCtKwx8P/sDirosZ8ZjSQmV48+EVng+z6+kuvMx4icefP+bM8gzDvZrlQAsV/+n+sLayVv0C4zAOiqJwL/Eexp0Yh2Zbm+Hgy4NY6LMQCV8mwG+iH17Nf4UBTQaApEjViE8O5pjTeQ4OjjkIK54VonKiuIoKwzjbOqN/4/6gKArLbyx/p1q/nqc9h4yUldt2KVPIUCwtLtvu9caToqqkADBywBcAoJuHfo+FnJSr3tfq7V4imUhjupd61gZdSVEnR5gDAForKRRFGeRJMUWkhGaGggCBlq4tDT6mNGFZYSiWFsPXw9foYwV8AYY1HwZAeYe7dOvX5ZjLGNJsSIXdqT8cchgd6nZAy1qmvx5MsO/FPsgUMtXNHnPwcfeBu5M7skqyMPu/2Yy0ft2Ov427iXerXBVl9a3VsOPbYXmv5YytySN4GO01GgRB4N+X/1ZI61dGcQZW+K/ArI6zqtTY56oCJ1IMgCAICPgC5Ahz0GpHK671ywhkChmOhhxF13+6ote+XgjLDMP2YduR9FUSfhnwC9wc3QBANXZwdcBq+Pztw2gyPYcSgiCQUZyBjv/ryAU+soRILkJAfMA75VG5l3gPDtYO5d6dzBPnAYDWdi+pQgprK7VKiglvPUNyUko/l66kqIzzUk3jvLZKSq4oFwC0elKKpcUQyoTlelLi8+Nhb21vVHZTaGYomrk0U+3VFB4lP4IVYWVQa54uFKQCtxNua3hUkgqSEJYVVmGtXgXiAlyIumDxKgpJkdgeuB0TWk0waFiCoSQUJOBY6DFGPCo/3/kZ7eq0w4gWIxjaHftEZEdgT9AerOi9wqxJdvq4n3i/Qjwq3938DlY8qwody/0+wYkUI3Cxc8HMDjM5j4oBFEoKseHBBjTZ0gRTTk+Bk8AJF6dcRPj8cMztPFdncvC8LvMYS6bnKEudanXw1wd/ccn0LGFvbf/OmenvJd1Dt/rdyh0Bmyd6I1K0tHvJSJlmu5cJN3zLG1ksJ+Wq59CCRVtOSpl2r9KVFJHuSooxQY7GZqSEZYWhVe1WBj9fGw+TH6Jd3XZmtR1a8azKJNNfibkCHsGrsKyS069OQ6qQYlLrSRVyPl1cibmC2LxYkwzz+ujs1pkRM/3DpIe4GXcTK3qvqFJVlB/8f4CHkwfmdZ7H2jm2D9/Oupn+QdID7H+xH+v6r+PM8izBiRQj4Mz05ZNWlIblN5ajwcYG+P7m9xjYZCCC5wbjxvQbGNZ8WLn9mqWT6TmhwjzqyfScUGGe0lO/IrMjLb0lk6EoCvcT75frwQDeVlLUL+5FMuX4X6lCqmz3Uqt2lKa8scS63qf0cSRI1XPkpBw8ggc+j69/updEdyXFLJFSYPxkr/CscHi7eht1TGkeJT9CN/fyRw+Xh3oy/ehjo3Ho5SH41vfVEKBsciT0CPo06oP6TvUr5Hy62BG4Ax3rdWRlupi6mX7EkREgKdLoNX6+8zO8a3njw5YfMr4/tniU/AinX53G2v5rIeALWDtPaTP9qfBTjK6vIBWYf2k+Ort1Nsivx2EanEgxEnWhsvrWaiTkJ1h6S5WCqJwozP5vNhptboTtgdsxq+MsxC2Ow77R+4w2WqoLlR2BO1ja8fsNLVT8wv04DxAL0EJlQZcFaFKjiaW3YzKROZHIEeWgZ4Oe5T6Xvrin270UpAIShUQ53UshM7vdS9dFnLq4oUCBR/AgJ+Uqk7NILtI93UtbJUWYAwdrB60XUGnFaQAMrKQYkZFSKClESlGKWf6LPFEeIrIjDMpHMQRaqHzV7SsEpQVVWKtXWlEa/OP8MbWNZbNR4vPjcSn6EuZ1nsdalYIWKjM6zDDacP0s9Rkux1zGD71+qDJmbYqisOzGMrSt07ZCWvloofJj3x8N+gwzhl1PdyE4PRjbh21XtatzME/VeGdXMmihEjIvBA2rN3yv70Q/Tn6McSfGwWubF85HnsdPfX9C4leJ+GPwHzqnxBiCm6MbHsx8gN8HKatVpk4F4tDN7E6zEbEgAvUc60EsF7/X72M2cLZ1xs/9f4a1lTUeJj2skq1f9xLvgUfwDLrwLd3uJZaLAUA13cvGykb5c2zi20xXu5d6G5qCVMDGykZ1Poqi9Ld7aTHO54py9U72suXbwlmgO8yQoijE5cUZVUmJyI4AALNM83SIoymmeV0I+AIMaTYExbJieLl64frr64ytrYvjYcfB5/ExrqVp436Z4n9P/wcngRMmt57M6nl8PXwxvd10AMD+F/sNbv1ae3ctmrs0x0etPmJze4xyOeYy7iTcwa8Dfq0wYcUjeFjVZxXqVKuDtKI0+IX7mb1mZkkmfvD/ATM7zORy3FiGEykmQhAEmrk0A0mRmHl+5nvV+kVRFC5FX0Lf/X3RbU83hGSE4H8j/of4L+PxXc/vGDPCudq7wopnhbsJd9FmZxuNZHoOZnASOEFBKjD08FAuR4VFVt9aXSU9KncT76JtnbZlWqK0kSfOg8BKoApGFMlFAKCc7qXmSaHe/GMsut6b6ncx7ybeBZ/ga4gikiJVezLUOF9eRoq+O+t54jwUSYtMGj/s5epl8DGleZT8CK72rmhao6nJa2jjcsxl1HaojUsxlzDy6EiDkunN4XDIYQxrPqzCWsu0IZFL8E/QP/ik3ScVNlY8uTAZiy4vMsijEpIRgrMRZ/F9r++rzF18BanAdze+Q5+GfTCk2RCL7GH3s92YeHKi2R6V729+Dx7Bw/qB6xnaGYcuOJFiJgQI1Heq/154VGQKGQ4FH0LbXW0x/MhwiOQinJp4Cq/mv8KsTrPKTaM2laYuTaEgFei7vy8nVFjAimeFSa0mcYGPLHJywskqZ6anKArXX1/HwMaGmaXpjBT6Al4oEwKAarqXxghiU/ajRdgQIDTuyKYUpUCikEAkE6lM8wCMGkFcOpBSHUOCHE0ZP/wq6xUaOjc064L4YfJDdKvfjfHWpCsxVzCk2RDsGLbDoGR6c4jJjcHT1KesVy/K49SrU8gWZmNeF/aM3aWp71TfYDP9+nvr0dC5ocVb4ozhSMgRhGSG4LeBv1nM5L+yz0qzzfSBKYHYG7QXa/uvNWp6H4dpcCLFTN4HM71QJsSWx1vQbGszTD87HR5OHrj1yS08mvkIH7b8kPU7OeoeFU6osAOXTM8upc30VUGohGeFI604zeCAuDxR2bR5AG+ne1lZa0zgMhZt70kChMYFT4/6PSAjZTgRfgI2PE2RQlGU0pNSTphjnjhP5118tjJSXmW/MsuPQlIkHic/ZsQ0r05qUSqCM4IxpOkQjWR6toTK8dDjcLB2sPg43R2BO9C/cX+zKlumoG6m1yVUYnJjcDzsOL7t8W2VCZeWyCVYGbASH7b8EF3rMz+EwFBKm+mNFSokRWLRlUVoU6cNZneazdIuOdThRAoDlBYqF6MuWnpLjFAoKcSv935Fo02NsOTqEvRu2BvBc4Nxaeol9GnUp0LvhqgLlcmnJnMX0SygLlSux7Lfe/6+QQuVHh49yh3nWxm49voaBFYCgw2nueKyafMANKZ70YGLJrV7aaukEJqVFDcnN7jauYLP4yuDHN/swZZvqxIsdCVFTsohlovLVlJEeaguqK51D+nF6ahXjfmMFHMne0VmR6JAUsCoHwUArsZcBQFCJVRpoTLGawwr7+HjYccxynOUzhH1FcHLjJe4n3Sf1fG4+qCFSk37mlp9G3/c/wOu9q74rP1nFtidaex8uhPJhclY19/yWSK0UJnTaY5quIah/PvyXzxKfoQtQ7ZUic/wdwHuVWYIWqi0r9veYv2WTJErysWWx1uw+fFmCGVCfNb+M3zb41uLTymihUqhpLBKzYSvSszpPAc+7j7oUK+DpbfyTuJs64wLUy4AUFYa4vLj4F3LvLGzbHEt9hp6N+xtcLhgniivTNo8gLfTvXjWUJAKpdjQolFMGUFMvPnHirCCglJAQSngZOuE/o3741b8LbxIfwFAKZTU9wMoW70AGFVJSS9ORx2HOnr3aWxGilguRlx+nFmVlIfJD0GAQBc3ZhOvr8VeQxf3LhqDBAR8AY6NPwZA6TMIyQwpN+jTEMKzwhGSDN0j+gABAABJREFUGYKf+/1s9lrmsDNwJ+pVq4fRnqMttgdfD1+c+egMAKUAdXdyRzWbakgtSsX+4P1Y03eNWaGfFUmBuABr76zFjA4z4OnqaentAFAKlZ0jdgJQfq48T3uOTm76A1ALJYVYdmMZPmr1Efo06lMR2+QAV0lhFIIgVO1P/nH++OvhX5beklFkFGdg2fVlaLipIX6//zs+afcJXi96jV0jdllcoNC4ObrBy9ULxdJiTDk1hctRYQFaoPzz/B98eeVLrmrFEqsCVqHH3h6VsvVLIpfgdvxtDGoyyOBjSns51Nu9Sk/3YqqSAkJ5wUG3nFIkBWueNaQKKawIK0w7PQ2AcgKYemUHULZ6AShTSckX52v1pJAUiaySLIODHA0lKicKJEWaJVafpDxBq9qtDBpwYCgkReJG7A0MbqK73W974HZ0+6cbI61fx0OPw1ngbNGbfIWSQhx6eQizO82uFK1UclKO4UeGq1q//nr4F+z4dhXqlTGXDQ82QCgTYnWf1ZbeilbORpxFl7+7lNv6tfbOWhSIC/DHoD8qaGccACdSWON+4n0svba0SnhUkguTsfjyYjTa3Ag7n+7Egi4LEP9lPDYN2WTxMC1dFEmK8DT1KRf4yCIkRWLz481c4CNLrOi9otJ6VALiAyCSi4y6YMwV5WqKFC3TvRSUAiSMD60D9HtSrAilSCFBqkYQ21nbYVWfVQCU09UKxAUA9FdSKIpSemu0VFJyRblQUArUdqitd5+JBYlo6NzQ4D8XPdnLnPHDT1KewMeN2VGoL9JfIFuYjUFNdQvVOZ3maCTTmwpFUTgWdgxjvMawGvBXHv++/BdiuRizOs6y2B7U4fP4ODT2EF6kv8DgQ4OxM3AnFvgsgJPAydJbM4i0ojT89egvLO662KxIAjYZ7TW6XI9KZHYkNj3ahO97fQ8PZ48K3uH7DSdSWGJF7xWV3kwfmxeL2f/NRpPNTXDo5SEs77kcCV8mYP3A9eX+IrY09Rzrccn0LMMl07NLZTbTn3l1Bk1qNEHr2q0NPkZXuxddSaHvTLPhSaF79xWkAtZW1qrKDd3+dDv+NhZfWazaD6C9kiKUCSEjZVrHqGeWZAKAQSKlgXMDg/9cr7JeoY5DHZNH7orlYoRkhqCLO8OtXq+voZpNNb0ZOaWT6U0VKsEZwYjKicKk1pNM3a7ZUBSFHYE7MNprdKW6oKY9Ks/SnkEsF2Nmh5mW3pLB/HznZwisBFjWc5mlt6KT8sz0FEXhy6tfwt3JHUt9l1pol+8vnEhhidJm+u1Ptlt6SypeZb3C9DPT0WJrC5yLPIe1/dci4csErOqzyqKz6Y1F3Uzf70A/1Z1SDuZQFyp/PvzT0tt551AXKldfs5s/YSgKUoFzkecw1muswb4KiqKQI8rRECl0uxftSVG1ZDE43QtQVlPotUmKhDXPGhKFBAK+QGWW3zl8J0IyQ1T7AbRXUvLEbwIptbR7GSJSiiRFyBPnGSdSsl+Z1er1Iv0F5KSccT/K9djr6Nuob7nmYnWhcibijEnnOhZ6DDXtamJA4wEmHc8EdxPvIiwrDF90/sJie9BFmzptlBlE1nbIFeVaejsGEZ0Tjd3PduP7Xt8zlp3GFupC5WT4SY3PmovRF3El5gr+GvxXlfEBvUtwxnkWoYWKo40jBjYxLGuATcKzwrHm9hqcCDsBdyd3bPxgI2Z2nGnRSSrmQguV/yL/g7Ot7hRoDtOZ3Wk2qttWt+gFxLuMs60zbn16CwIrZZtLgbjAou/lR8mPkFGSgbFeYw0+pkhaBKlCiloOtVSPieQiWBFWqsqGNU+tkqKtdascQaQrJ0W93UtBaSbO0yJllOcouDm6YdiRYQCUmU/aKin54nwA0HqzxhCRklSYBADwcDK8JSQ8Kxx9GppuxH2S8gQCKwHa1Glj8hqlEcqEuJd4DxsGbTDo+QK+AKcmnlL9PRjzHqYoCsfDjuPDlh9a1Aey8+lOtKjZAv0b97fYHnSx+9luiOQihH0RhhY1W0BOyiGRSyosaNIUVgSsgJujGxb4LLD0VgyCFioyhQwEQaBAXABbvi2+vPIlBjYZiDFeYyy9xfcSrpLCMgRB4Jse38DT1RPF0mIcfnm4wvfwKusVJp+ajNY7WuNh8kPsHL4TMQtjsLDrwiotUGjcHN0wp/McAMCh4ENcjgoLTGw1ETXtayKpIAlr76zlWr8YxpZvC4IgcDHqIppuacpI69f27dvh7e2NLl2Mu8N+JuIM6jjUMWqcbbYwGwBQy/6tSBHKhKo7jzJSprqAZTQnhSA0Ah1Lt3up56TQQZLzL83H5FOTkSdSVk00KilvHtPV7mVjZaPXD5BUoBQphlZS5KQcUTlRZk32CkwNRPu67Y0ep6qPOwl3IFVI9fpRSmNjZQMrnhWepj5Fo82NDG79epLyBPH58RZt9coozsCp8FOY13lepZscKZFL8OfDPzGt7TS0qNkCADD3wlwMPTy03GR6SxGYEogTYSfwU9+fWAt5ZgMewYOAL0B8fjyabW2GaWemIT4/HpuHbK5074v3BU6kVCDHQ49j2plpFeZRiciOwNTTU9FqRyvcT7yPncN3InphNOZ0nmNRcyJbiOVi/HL3Fy7wkUVuJ9zGyoCVXOAjS/Rs0BPNXJox4lGZP38+wsPDERgYaPAxClKBo6FHMa7lOK0ZDbrIKskCAI1sEJFMpLoJIlVINVqyTHnv6KukqEQKpVBN9yqdk0J7ZOZ2novzkeex7ck2WPOsNS7uy2v3qu1QW+/FSmJBIngED26Obgb9mWLzYiEjZWZP9mJ89PDra/Bw8oBnTeNHxrap3Qa9GvQy2KNyLPQY6jjUMauaZC57gvaAz+Pjk3afWGwPujj08hDSitKwrMdbX8fMDjMNSqa3BBRF4bub36FVrVaY3m66pbdjEg2cG2Bwk8HwC/fDgMYDKu2Y+PcBTqRUIDM6zKgQM31kdiSmnZ6GVjta4U7CHewYvkMlTpi821bZsOXbwv8Tfy6ZnkWmtZ3GJdOziKXN9DfjbiK1KBWftDfuYi1LqBQppdu9aJO6TKFWSaEolBOJohV9nhR9lRQewVOOIH7jkRnXchz8JvohJDMEBAjIFDLVWuW1exlimq9XrZ7BbUvmTvbKF+cjKicKPu7MTva6Hnsdg5oMMunusTHJ9CRF4kT4CUzwnqASsRWNglRg19NdmNx6cqXzZCpIBX67/xs+bPkhvFy9VI8bkkxvKa7HXod/nD/WDVhnsb9Tc6E/T2ytbHE99rrRyfQczMGJlAqktJmeaaESlROFj898DO8d3ridcBvbhm5DzMIYzO08952snGhD3Uzfd39fxOXFWXpL7xzqyfRLr3HTTphGXahU9FS1A8EH0NK1pdF35rVVUtTbvUpXUkjK+DHE+o7R5kkRWCmN83QrnVAmBJ/Hh7WVNUZ5jsJYr7GQklKcizynWidPlAd7a3utN3MMEimFxk/2qm5bvdzsFV3QIpbJyV6pRakIzQxVpcybgrpQ+eLSF5AqpFqfdy/xHlKLUvFR649MPpe5XIy+iKTCJHzRpfIZ5v3C/RCTG4PlPZeX+Z66UPn72d8W2F1ZSIrEshvL0MOjB0a2GGnp7ZjM/cT7OBJ6BFuGbsHnHT/HV1e/UrWCclQsnHG+gqGFCqD7zqCxROdEY+3dtfj35b+oV60etgxR/mC9L8KkNLRQ+fLKl1VmnnxVY07nOSAIQsODwMEctFARy8UgCAIURbHeE10gLsDpV6fxY58fjT5XtjAbzgJnjYt79XYvGSlT3Z3UlThfHrpGENO+FEDp8bDmWUMil6gqKXQ1RygTqr4GgLrV6qKFSwuM9x6vXJ+ikCfO0zmJKLMkE81cmundY1JBklEiJTw7HC1dW5r8d/sk5QmcBE4qrwIT3Ii9AQIEBjQxb1AGLVTSi9NhY2Wj9T18PPQ46jvVR3eP7madyxx2Pt2JLm5dyk0cr2goisL6e+sxuOlgnXvz9fDF8znPVWHLFfE5oY/jocfxIv0F7n12r8p6OBSkAgsvL0Rnt86Y2XEmZnaciW97fIsadjUs/vq+j3CVFAtAEATW9Fujmh0enB5s0joxuTH49OynaLm9JW7E3sDmIZsRsygG833mv7cChcbN0Q0nJpxATfuaSCxI5Fq/WGB2p9kY23IsKIrCmVdnuNYvhnG2dUadanWQXpxeIcn0J8JOQKqQYlrbaUYfmyXM0mj1AjTbvSRyCfg85T0xkiRNy0nREeYIvG3PkJPyMu1e9GehSC7SGBRSJC2Cq4Oy8rPn+R585PcRskuytfpRAMPbvYytpJgT4hiYGojObp2N8g+Vx7XX19CxXkeNqpipCPgCNKzeEEWSIgw8NFCj9UtBKnDq1SlM8J7A6P6NIT4/HldjrmJu57kWOb8+LsdcRnBGML7v+b3e5zVzaQYewcOl6EsY/O9gi7V+SRVSrAhYgVGeo9CjQQ+L7IEJ9gTtQVB6ELYM2aLKYGrm0gwyhQzjT45/L1u/CIKYYKlzcyLFwjxNfYr2/2tvVOtXQn4CPj//Oby2eeHa62vY+MFGvF70Ggt8FlSpSRoVxZwLc9B3f18u8JElHiY/xIcnPuQCH1nCjm8HkiJZ9ahQFIWtT7ZiaLOhJgXZZQmzylzUiuQiVbuXRCHRSIU3aY86hI2GJ4VSwIanOYKY/kwUyoRlRAo9friWQy2cjTiL/6J1jzLPKMnQK1JIikRSYZLB44dJikREdoRZptzA1EBGTfMkReJG7A0MamL4VC9DsLGygb21vYZH5X7SfWSUZGCCt8Wuf/DP83/gKHDER60s126mi3V318G3vi96N+xt0PNr2NbA4+THFvOo7H62G/H58VjXf12Fn5sp8kR5+P7m95jebnqZ6YZWPCvUtKupN5n+XYQgiO4ALDZRghMpFqZTvU4Ge1TSitKw4NICNN/aHP9F/YcNgzfg9aLXWNh1ISdO9LBn1B4umZ5Funt055LpWaQizPT+cf4IyQzBEt8lJh2fVZJVpvVPXRSoe1IoitLqLynvbrq+9xV9rEwh06ikSOQSVf6MSCbSCGMrkhSpxg+P8hwFv4l+SCpIUk7cUjPTA8rJgYWSQr0iJaskC1KF1OBKSlJBEkpkJSaPH04rSkNyYTKjIiUkIwQZJRlm+VG0oS2Z/mTYSbg7uqNr/a6MnstQZAoZ9gbtxbQ20ypd3sjdhLu4n3Qfy3suN7i9yJJm+mJpMX6+8zOmt5uOVrVbVdh5mWb1rdWQKCT4dcCvZb5XXjL9O8xUABWfnfEGTqRYGEPM9NnCbHxz7Rs02dIER0KOYE2/NYhdFIsvu33JJaAaQOlkek6oMI96Mj0nVJhHXagMOTwEhZJCRtff+Ggj2tZpi36N+pl0fLYwu4xIEcmU7V4URUEil6iEBEmZ2O5lQCWF9qTQxnk6eR7QX0kBlELFy9ULmSWZWBmwUuMc9GAAfSIlsSARgOEZKa+yXwEwfbJXYKpytDSTk72ux16HvbU9Kx6R0kLleNhxo0ddM8mFqAtIK07D7E6zLXJ+fay7tw5tarfB8BbDjTpOXajMuTCHpd2VZdOjTcgX56v8tlWR0MxQ7AjcgVW9V6GeYz2tzyktVJ6kPKngXVYsBEHwAQwDcK6857IFZ5yvBKib6Y+FHsPirosh4AtQIC7Anw//xMZHGwEA33b/Fl/5fqXT2MmhG1qoDD40GBHZEWjq0tTSW3rnoH/ZX4m5ovIGcDAHLVTuJ91ndCBERHYELkZfxP7R+002hWrzpNDTveSkHBSot+1euqZ0lXNqfcJXwzivo5IilGsa54skmiIFUF6EjGoxCl93/1rjcUPS5mmR4uFsWLtXZHYkbPm2aFi9oUHPL01gSiDqONRBfaf6Jh2vjWuvr6FPwz6seRppofLngz/xQ8APmNDKcq1eu5/vRlf3rmhXt53F9qCNoLQgXIm5gsMfHjZJwPl6+OL6x9fL9U8xRY4wB388+APzOs8zyo9VmaAoCouvLEZTl6ZY3G2x3ufSQmVgk4GM5xNVQoYAuEdRlNBSG+AqKZUEWqjcm3EPclKOHwN+ROPNjbHhwQbM6zwPcYvj8FO/nziBYgZujm54MfcFhrcYDoqiVBceHMwxu9NsnJp4CtZW1ojNi+UqKgzjbOuMYc2HgaIo/Hz7Z0Zav366/RM8nDzMSvzOKinrSSmRlaCadTVIFBIA0BApTIU58ggeQEAlrlTTvRTK6V7qlRT1aWPAm0qKQFOk5Ivz0a5uO7jauyKpIAlfXfkKMoXMYJFix7dDTbuaBv15onKi0NylucmVhCepT9DFvQtj04YkcgnuJt7FwCYDGVlPFwK+AFnCLNSrVg/BGcEGJ9MzCW2Yr4xVlF/v/4omNZpgYquJJq/RtX5XNK7RGPnifCy4tIDV1q/f7v8GBanA9730G/wrM6dfnYZ/nD82fbDJoCw5HsHDxFYTQRAETr86/S63flm01QvgREqlQkbKsC9oHxpvboyf7vwEL1cvvF70Gr8P+p2RSSscUE0Y+vXer+i8uzM39YsFCIJAtjAbHf/XkQt8ZAmxXIyL0RfN9qgEpwfjWOgxrOqzyuS75xK5BEXSojLtXiXSEjjYOEAiV4oUHu+tuV1bNYUop5Sit5Ly5kJdQSrA5/F1GufLeFJKVVLURxCHZYVhe+B2TD41GalFqQCgd+R2UqFy/LChoiEyJ9Lk0cEUReFp6lP4uDHX6vUw+SHEcjEGNDZv9HB5kBQJv1d+GOs1FtdeXzM4mZ5JKqth/nXua/iF++Fr369Vv6vMXe9g8EHWPCophSnY+mQrlvguqbDKDdMIZUIsubYEI1qMwNDmQ40+/mbszXfSo0IQRDUA3QDcsOQ+OJFSCSApEkdCjqDl9pZYeHkhhjYbioU+C/Ew+SEOvTxk6e29k3zS/hMumZ5FXO1d8dvA37hkepaws7ZjxEy/ImAFmrs0xyftTB/eki3MBoAy7V7F0mI4WDuogvxoEUKSzE73Ul9bTsrB5/EhJ+VvKylWZUcQUxRVppIiVUghlAlVI4iHNBsCv4l+OB95Hpsfb4aTjZNeIWfs+OGonCh41vQ0+PnqxObFIleUy2iIo3+cP2ra1USbOm0YW1MbT1KeILkwGRNbTcSJ8ScMSqZnkspsmP/r4V+oaVcTn7b/lJH1Orl1YtVM//Odn2FvbY+lvlU31PeP+38gvTgdGz/YaNLxW4dtrbRmeoIg2hEEcYggiHsEQYwgCKIGQRCbCILYSRDEGYIg2us5/EMA/1EUJS+1Zk+CIA4SBPGQIIjhBEHwCIKYTxDEVoIgdr05V7c3z53y5lw73zze39g/AydSLAhFUbgUfQkd/9cRU09PRevarfFy3kscGHsAm4dsZi2ZnqNsMj0nVJhHPZmeEyrMU3rqV3hWuFHH34i9gQtRF7Cm3xqz/ENZQqWpvEwlRVaCajZv273UxwQzlZNCwyN4IEBATslVlQyVJ0XdOM9XihSJQgI5KdeopNCJ0jXs3uak0FO/wrLCyh2dnFiQaPD44RJpCZIKk0yupNCG3c5unU06Xhv+cf7o17gf60Z2v3A/1HaojZ4Nemok048+Nhp3Eu6wem6g8hrms0qysPfFXizquojRgTjqZvrhR4ZDTsrLP8gAYnJjsCdoD5b3XK5zbHdlJyE/Ab/e/xVLui0pN6hVF6XN9CfCTjC8S7NYDOAzAFcA7AXwN4A/AJwAMBzATD3Hlmn1IgiCB2A2lCOJ7wPYB2AzgHCKohZSFDUXQBiAIwRBrAIgpihqHkVR8wD4Azj5Zg2D4USKhXiQ9AB9D/TF8CPD4SRwwv0Z93Fu0jm0rt0agObUrxX+KxCTG2PZDb+DqAuVPx/8aentvJPQQuVo6FEkFSZZejvvHLRQmdVxlip12hDEcjG+uPgF+jTsY3bLCz35Sr2SQlFUmXYvVUsWpdC+UHnG+XKEDV1BoS+yBXyBRiVFvd2rSFIEABqVlHxxPgCU8f2N8hyFPg37lGtQN6aSQn+ee7qaVkkJTA1EkxpNGGsDLpYW43HKY9ZbvSiKgl+4Hz70+lA1kpoWKou7Lkab2uxWcYDKa5jf9mQbeAQPX3T5gvG1aaEypfUURtrIAGBVwCrUcaiD+V3mM7KeJfj6+tdwsXPBD71/MGsdWqis6L0CvvV9yz+gAiAIoimA1DeVEDcALgDWURSVAqAmgGIA/+k4tg6AhhRFPS71rS4AgijlHSM3ALUAXKQoKkDtOYUAGgPIoCjqtNrjGW/2oLtnVgucSKlgQjNDMfrYaPTY2wP54nxcnHIRtz+9rXXkIy1UXs57iWYuzbg70Szg5uiGezPuYeMQZalX5+QhDpOZ03kOohdGo4FzA0gVUu59zDDOts74fdDvsOXbIigtyKDWr9/u/Ya4/DjsGL7DbOM1XUlRv2AWy8WgQMHB2kFVSTH3POV5Uvg8vka+ibacFLrdq0j6RqSoV1LEbyopWhLnBXwBvGt5g6IoHHhxoEyOikQuQUZJhsEiJTInEgBMrqQwHeJ4N+Eu5KQc/Rsb3Y1hFE9TnyKhIKHMVC8BX4DfBv2GGnY1EJ8fj5uxN1k5f2U1zJdIS7AtcBtmdZwFFzsXVs7h6+GLOZ2VY4mPhR4zq/UrOD0YR0OPYlWfVVU2BsE/zh9+4X74beBvqGZTzez1eAQPa/qtgYezB7KF2Tjz6gwDuzSLOgBOvfm6J5RTup4DAEVRfhRFuVAUdU3HsZMAHNfyuAAA/QfrBeAqRVFXSj2nLYA4ALtLPd4SgAhAjjF/CE6kVBDx+fH45OwnaLuzLUIzQ3H4w8MImhOEYc2H6f3lTRAEvFy9QFEUFl1exLV+sUBth9qwsbJBYEog2u5sy+WosEANuxogKRJjj4/lclRYZEXAinI9KoEpgVh7dy2+7f6tWWnnNBnFGbDj28HB+m1/P30BpFFJocwUKToqKRRFgQChqqTQ/pTS072EsrcjiOn9qVdStLV70WSWZKK2fW2EZoZi1n+zMPnUZA2hklyYDMDwjJSonCjUtKtp0gUpSZEISgtCp3qdjD5WF/5x/nB3dEdzl+aMrakNv3A/uNq76k1R//Xerxh+ZDgrHpXKapjfG7QXBeICfNXtK9bPlV6cjjkX5pjlUVkRsALNXJrhs/afMby7ikFOyrH4ymL41vfF1DZTGV9/97PdGHdinEU9KhRFPaAoKoggCFcArQHcMuLwqQCOaFnzDkVR8QRBNANQH8B19e+/yVXpDuAWVfaX/GAAd0t7XMqDEyksk1mSiS+vfAnPbZ64GnMV24Ztw6v5rzClzRSje39r2NXgPCos4u7kDqlCygU+sgSP4GG052gu8JFFjnx4RK+ZvlBSiEmnJqFD3Q5Y3Xc1I+dML05HPcd6GjdbSmQlAIBqNtVUxvny2rnMme4FKNu9ZKSeSoqacZ6+OFO/g0pXUrSNec8ozkBth9poU6eNykyvLlSMzkjJiTS51Ss6JxolshJ0rNfRpOO14R/vj/6N+zM2zlgbFEWppnrpaznaPGSzRjI9U1RWw7yclOPPh39iUutJJmfmGEPdanVxZeoVk830j5IfKb1sfc3zslmS3c92IzQzFFuGbmHlPf9dz+8qk5m+H5SfvrcMeTJBEC0AEBRFRep5Gl1yLb1mFwDVSj9OEEQbAM0B+BmyB3U4kcISJdISrL2zFk23NMW+F/uwqvcqvF70Gl90+cKgOdylMSSZnsM8uGR69uGS6dmltJleXahQFIU5F+YgqyQLR8cdNelzSBtpxWmoV00zoblEqhQpGu1e5amUctDWiklRFChQqnYvOVnKOF+6kmKtWUlRr/7ki/PB5/E1HqPPkVmSqRqxSpvp1YWKSqQYaJyPyokyudXredpzAECHeh1MOr40uaJcBKUFsd7q9SL9BWLzYjHBW3+AY+lkeqaESmU1zJ8MO4mEggR80/2bCjunupneWKGywn8FWtdujY9aV65qlKHkifKwKmAVPm3/KaODJ9Qpbaa3sFDpB0AC4JGBzzckG6UfgHwAQaUe7/vmv7dKPT7lzR78AIAgCH2GfQ04kcIwClKBPc/3oMW2Flhzew1mdZyF2EWx+KH3D2bfvSktVM5GnGVm0xwq1IXK+JPjuYtoFlAXKhejL1p6O+8ctFDxcffRmOSz7u46HAs9hn9G/YOmLk0ZO19acRrqOZYSKW8qKertXhQosyZHlWecp43Y9PMEVgJI5BLY8m2hIBWQKqSqSgotojQqKaI81LCtUebOaoGkADJSppEDQQsVgiBAgUJSYRJq2dcyqD+foihEZkeaPH74edpzNKreiDHvwq34W6BAsS5SToafhIudC/o26lvuc2mhMqLFCI3qmDn8/fxv+Lj7VCrDPEVR+P3B7/ig6QcVvi9aqNhb2xvsxQyIC8DNuJv4ud/PrE+BY4s1t9dALBdjXf91rJ6HFiqzO81m7D1sIv0APKIoSmzg8z8CcKyc5/QFcIeiyrxx+gGIpSgqsdTjHwI4T1FU3puqiv4pJGowM+aBAxRF4XLMZXx7/VuEZYVhcuvJ+KX/L2hcozGj56GFinctbwxvPpzRtTmU0EIlW5jNavvD+8zsTrPRvm57Rs2/HG+hhQoAZOcpc0x+v/87fh3+q1lJ1tpIL06HV00vjcfUKxXqlRQ6aNEUtN0wIAhC9TidaK/uSRHLxRBYCSCSiwCgTLuX+o2jPHGeTj8KUDZtfpTnKIzyHAVAaSQub/oXTZYwCwWSAtMrKenPmW31ivNHM5dmRmW8GAtFUTgZfhJjPMcY3CIk4AvgN1HZHUJSJMKzwlXTL40luTAZV19fxc7hO006ni1uxN7Ai/QXuDmdnUEB5eHr4Ysr05S+57i8ONRyqKXTRE5RFFYErEBnt84Y7Tm6IrfJGJHZkdgWuA0/9f2pzI0VNqCFCk1IRgjrOUTqEARRF4AXtJvgtT2/G4BEiqLS9TynJYC6KNvSZQ2lH0XbuVwB3H4zfngZlKORDcIgkUIQBFFQUGDomiooisKmR5vwcduP4erw7iamB6UFYWXAStxNuIseDXrA/yN/dHJTmhoLCwtZOeewBsMgKhHhdvJtBKYGYr5P1R0DWBmphmqoZlcNmbmZWHJ1Cb7p/g3jgvN9x8vRC0VFRTgZdhJPU5/i14G/cqKQASQSCSQSier/J5+YDED5mTG3zVzGP5NSslJQo3ENjXWzcrMAMUCJKeTl5wFiQFQigpXUCtBxU5FSUCgqKirzeFFREQQCAUqKS4BS9wIpkoKCVIAkSPCkPEAMCIuFgBiQCqUQl4hBSShk5GSo9lNYWIjsvGzwJDxISiSQEkrRlJmbCUfKsczrE5ceB4gBe9Je62tXLC3GueBzcLF3QU5eTrkX4c8TnwNiwN3G3ei/C4qi8CzuGRb6LGTs7/F6+HX09OjJ2u8qQDnVMiY1Br/2/NWk8+x9vhfLbizD0XFHMbDpQKOP33V/FwRyAYY1GMbqn9NY1t1ch3bV26GTSyeL7ktBKjBkzxDUtK8Jv4l+WoXK9dfX8SD6AU5NPKX157QqsOjsIrjZuOHzVp9X+Ot97fU1/HLnF9z85KZJY6CdnZ2dABRpMaTrow6Uo38NDW8xpNWrJoBUAKdLPV4dQAmAf7UcswjA51BWYHZRFGXwhC/CkD8vQRBOAIxXKRwcHBwcHBwcHBwc5uJMURQr6urNZK4YAG0oiqo0KtRQOVdkSiWlsLAQHu084PqlK2o71MZ/k/9jrKLSpUsXBAYGMrKWsevminLx54M/8b9n/1MGAfX6AVPbTi1XHbOx54KCAjSY2gDoAfzU7yd82e1Lxta25GtcWdYtLCyER0sPNF7RGFJSiotTLjJWUWHrdWBzbdZe45EewBBlG9jvg35nrKJSlV4HptaVSCTIK8nDyjsrceLVCcxpMQf/m/E/tF3fFgmSBJybdI4x03VyQTJa7WgFv4lKozPNwRcHsfDyQuR9l4dDwYew6PIirOy9EtsCt6lG/ZbGwdoBLz99iaZNNf0yr1+/hqurKy5FX8Jkv8max9g4wM7aDrXta0MsFyM2Lxbf9fwOv977FcFzg9FuVztsGboF3ep3g8/fPrgy7QoWfbgIH/71IfYH70fkgrcDbMYcGwMngRMOjj2ocY69z/di6bWlyFmWo7MPv8FfDVDwtAD8dnwMaz4Me0fv1VlRWem/Euciz+HlvJe6X1g11N8TZyPO4pMznyB6YTRqV6tdzpHlr/v1vq8x+7/ZiFkUoxHGae66pd/DXXZ3QSe3ThqtL8aSnZuNpt80hY2njVEVldvxtzHq6ChcmXYFvh7ag/Ys8fM849wMPE19iudznht9Z521z+GuHqj2eTXVFDu6onI+8jw+Pv0xLk29hB4Nehi9tqU/L+WkHN33dIeLnQsuT71c7u8XtvZbWFgIDw8PJCUlwcnJyahjnZ2dnQGwKR4GA3hcmQQKYKBIMbK8pEkucGnaJYw8NRJjzo7BrU9vMWL4s7KyMvov2dx1xXIxtj3Zhl/u/gI5KcfKQSuxxHeJwYZ4tvaMu8C333+L1Q9Xo7pzdSzquoiRZS3xGlfGdVEMXP74MkaeGomRp0ciaE4QatrXNHtZ1vbL4tqs7fkFsHHrRnx18ys0qtMIy3stZ2TZqvY6MLHuy4yX+OjiR0gsSMS+j/ZhoOtA/A//w9GJRzHDfwauJV9DH88+jOy3uKgYsAWa1muqsW+FjQJ21exQ3bk6eLY82DjYgG/Ph7W9NXT53wlrAo6OjmUed3R0hJOTE+wc7ABbteeDAKyVx1nZWcFGYQOIAIGDALAFnJydAFugunN1WNlZAbZALZdasLKygtxaDicnJ409l/BK0KRGkzKvfwmvBK4urqjuXF3rvoUyIQqIAiAJOPTzIXx580vkkDloUUO75yRBnAAvdy+D/57V3xMRRRFwr+WOZm7NDDq2vHUfZT1CmwZt0LQec4MUSr+HI7MjEVUShT86/WH+z8wZYMC+ATgbfxYfdvjQoEOOxRyDp7snBnsP1nlxWtE/z3F5cTgTdwZbhmyBS3Xjr4dY+xxOBc5MPoOpF6YiXhSP7q7doSAVWB+4HoO8B2Fo66EmLWvpz8vtT7YjqjgKT6c8hfJan5l1TaX0Z48hsFVBUcOQVq8Kp0KM8541PRHwSQC2PN6ikfBrDvPns+PB0LYuSZE4GnIUP/j/gOTCZMzpNAer+qxCnWp1zF6bKb73/R41qtVAn4bMXHwAFfsaV+Z1AaBetXq49ektHA89zthUHTb3WxVf4xltZ6COcx2Dpv8YSlV7HcxZN0+Uh1/u/oKtT7bCy9ULT2c9RctaLZGcrAwadLJxgv8n/hqBhuYmLacVpQFA2RHEshLVzRuJQplVIlPIVOZ2Uyg93Ys2yNOP83jKKofqntqb/wj4AghlQgCAHd8O8+fPR5gsrMyo4QJxAZwFZS9gsoXZcLXX3QGQUpii/KIIGNZ0GEa2GqmaasYjeGUqKpE5kRjcZLABf2Il6u+J52nMmebnz5+PDfEbGDdBl34Pn404C3trewxqMkjHEUagAA4MP6ASjOW9h/NEeTgVfgpr+q3Re/e8on+e/3r4F2rY1sBnHUwLQ2Tzc9jHzQexi2LhYOMAkiJx4MUBhGeFY9/ofSavacnPy1xRLlbdWoXP2n9m8M8Om69vZYQgCAcoU+k/tfBWylBhM+Ra1mqJnSN2wtrKGoEpgcgqyTJrvYp6099JuAOfv30w7cw0dKzXEWFfhGH78O1GCxRtazMJQRD4rud3aFe3HUQyEU6EGeqT0k1lvBCzxLo0bo5u+Mr3KxAEAb9wP7NzVDiRUpbJbSajnmM9ZBRn4Nd7v5o9ArqqvQ6mrCtVSLHp0SY03dIUu57uwg+9fsCjmY/QslbLMs+1t7YHQRC4EXsDTbc01ZtMbwjpxengEbwyF/El0hLVxaNErswqkZNykwyjNLreC3RWCi2A6OepjyKmRYq9tT3mz5+v9eK2QFIAZ1stIkVUjkgpeiNS3tzndLBxAEVR+MjvozLJ9HJSjte5r42a7EW/JyiKYlSkDJ0yFPH58YyPHi79Hj4TcQZDmg0xaDyzIQj4AlhbWeNlxks03txYb47KkZAjkJNyTG833ag9M4W2dbOF2dgTtAcLfRaqps0xsS6T0DcYFl1ehPmX52NY82HwcfcxeT1Lfl6uub0GUoUUvwz4hdF13zHGArhEUZRFZyVrg1WRIhAIsHr1aggEAtVjclKOqaenov/B/mYLFTZ5nfsa406MQ5/9fWDFs8Ldz+7i9EenTU4JZgttr/HJ8JP4yO8jLvCRAbS9vlKFFKsCVnGBjwyh7TUOiA/A8pvLucBHPcTnx+Pn2z+j0aZGWHptKSZ4T0DMohis6rNK44KQfl3VX98ubl3QuHpjncn0hpJWnIY6DnVUGSU0JbISVaVCqpDCxsoGMlJmnkgp3SdGKB+jQAEUVH4RBaUA8Db8UcAXQCRTjiCmXxf1Sg+NuZWU5QuWq15jgiAwo8OMMsn08fnxkJEyk36PpBSlIEuYxZhI8Y/zB4/goXfD3oysp43UolQ8TnmMMZ5jzF6r9OeEZ01PdKvfTW/g456gPRjRYgTqVqtr9vmZYvuT7QBQ6SZyavscdrRxhFguRnpRutHJ9JWBiOwIbA/cjh96/VAp3gPaXuNKQh8AB8t9lgVgXaT8+OOPGn8hfB4fZyedRVZJVqUUKvnifHxz7Rt47/DGk5Qn+Hfsv3g48yF6Nuhp6a1pRdtr/HHbj7lkeobQ9vraWNngxvQbXDI9Q2h7jSe1nsQl05eCoijE5sVi86PN8N3ji8abG2P9vfUY2WIkQueF4n8j/6f1F7E2kaIvmd4Y0orStJ6zWFqstd1LXwBceWZWXe8BkiI1KikkSNXjAGDLt9WopND7U6+kyBQyiOQi7ZUUYTZc7fRXUpwETlj34zqN11hbMn1UThQAmJSRQifNMylSOtXrhOq21RlZTxvnIs7BirDCiBYjzF6r9OdEecn0QWlBCEoPwswOBodbs45QJsTWJ1sxs8NMvcLXEpR+fSVyCQ6HHMaAxgMQnRttdDJ9ZWDptaXwcPJgdKCQOWj7XVcZoChqFkVRDy29D21YJMzRu5Y3/D/xR/8D/dH/YH/4T/dnbLKIqchJOXY/243Vt1ZDKBNiRa8VWNp9qcnlWEtCBz4CwLIbywAA3/b41pJbeuegAx/77u+Lfgf64dant9CkRhNLb+udYnan2QCAORfmwIqwwsYhGy28o4qlWFqMsMwwPEh6gPtJ93E/6T7Si9NhY2WDoc2G4ui4oxjRYoTJvhJaqHzw7weYe3Eunnz+xOipailFKXB3ci/zuHolhal2L21QFKUSL7QAIkkSNlY2qtBI9TBH2o9TIi3R8NEUSJTTK7VVUrJKssqtpLg7ln0NgLdCZfyJ8TgRdgKZJZmw49sZHPyozvO056hlX0vnuYyBoijcir+FaW2nmb2WPs5GnkXfRn21hmQyAS1Uxp8cj8//+xzRC6Nhy1dOV9gTtAf1qtXD0Oammb3Z4GDwQeSJ8/CV71eW3kq57H62GylFKbj28TXkifLwwb8fYNuTbfiu53eW3ppBXIm5gkvRl+A3wU/1nuCoelgscZ4WKhNPTkRGSYZFRcqVmCtYem0pXmW9wiftP8Ev/X+Bm6ObxfbDBOpCpUhSqSbKvTPQQuWLi19USTFbFaCFSlV8fSmKAkmRUFAKkBSp/JpUoFhajHxxPvLF+SiQFCBfnI8cYQ5SilKQXJiMpMIkxOTGILlQaXi35duii1sXfNruU3T36I5eDXsxdvebFipF0iJVersxQiW5MBndPbqXeVzDk0JXUkj9lZTy0Gacp9T+UYkUilSlzQNvjfM2VjaqtrTSlZR8cT4A6K6k6BEpyUXJekXHKM9ReDH3BVq6tsQXF79A0xpNTXodaD8KE+O5X+e9RlpxGqODVkqTL86Hf5w/Nn2wibVzAG+FSlJhEmz5tqAoCmK5GIdDDmNup7mMC2NTISkSGx9txFivsZX+hpZQJsQvd3/Bx20/hperFwDgyawnaO7SHACM/pyoaGQKGb66+hX6NOyDD1saNgWOo3Ji0Z9e71reeDnvJXgEDyKZCCWykgotgYZnhWPptaW4EnMFvRv2xtPZTxkrpVcG1IUKoPzzetfytuCO3j3cHN1wdtJZAEoTsVAmrPS/gKoatFChKAqXoi9hWPNhAJQXmrmiXOSJ85ArykWuKBf54nyUSEsglAlRInvzX2kJhHIhpAop5KQcMoUMMlKm+lpOyjX+n/5aQaqJCzWhoS44yjym9jxj4PP4cHd0R32n+vBw9oBvfV+0dG0JL1cvtKvbDjZWNoy/rjTOts5wtnVGjjAHE05OwB+D/kAnt04GHZtUmKT1Ar1EVoLaDsocD4lcAhsrG8hJeRnvijFobfei3rR7UZSGJ8XGygYShQTAW+O8utBVr/QASj8KULaSYsjvpZTCFK1DCtShP3fvJd1D/v/ZO++4KM41Cp/ZXViKCApYUFSwINgVC1bsxh4Ta2JJrNFETYwa4zUaE7vGXmPsvfeGvVcQBAWk995h2TZz/1hn3YXtHZ3nXn5G2J35WLd8Z973vIefB6FYqDaZviyBqYFqDeCaci/uHlgEy6htzFfeX4GIFGFIY8NOD1MEl8NFg6oNUCIswYiTI9DEtQnySvPwfavvjX5uTbny/goisyOxb8g+cy9FLVueb0E2LxuLuy2Wfo8WK3di72D149U4Ofyk3tMBjcWOlzsQkRWBo18dtWgxxaAes19ioD9YJl+cjJD0ENwad8voVZWskiwsvrMYO1/tRF2nujg94jS+bPzlJ/lkpn+n4LRgtN7VGit6rmBav4zE1EtTEZQaxLR+6QBFUcjh5SC1KBWphanSP9OK0pBTKhEg8XnxeJPxBrYcWwjEAqlBuiw2HBvYW9nD3tpe+qedlR2s2dawYlmBw+LAzsoOHBYHViwrWLGtwCE4kj8/fI/D4oDD4oBFsKRfbBZb7u8sggU2Uf576m5byboSHG0c4WTjBCcbJzhyHVHJupLZ3384LA5KhCXodbAXbo69qVaolAhLkMPLgXtl93I/KxIUwcNJEnoqIAXgciSVFEOOIKa/R0/3oh8/kiJhxbICX/RBpHwwztOtXvT6ZDdY0navMpWUbF42AKj8TEouTEYvT82CBTOKM5BVkoXRp0fj6FdHNRYq6UXpSC5MNthFtHvx99CyRkuFlSNDcTb8LNq6tdWptU1X6NfY2sdr0bRaUzR0bmiyc6tj3ZN16FC7g9JASUuhgF+AVY9WYVKrSQqDi204NniU8Aj9D/fHlW+uWJxQyS7JxuK7izGx1US0rNHS3Mth0BOTiZTIyEjMnTsXjx49gkAgQLNmzfD333+je/fuAICFXRai+/7u6Hmgp9GECl/Ex5bnW/DX/b9AgcLKXivxU7ufwOVYlolJHy5fvoylS5ciJCQE9vb26Nq1K86cOYPm1ZtjYZeFjEfFQPD5fLRv3x7BwcEICgpCy5YtsX3Advjv84f/Pn9GqJSBpEgk5iciNi8WCfkJ0q/4/Hjpf9PmZhoWn4Wq1lXh5e4FZ3tntHFrg2r21XAr9ha61e2GqW2moqptVbmvytzKel2t/5yR9ahoIlTodjSFlRRBGU+KJsZ5aGecJwhJu1e5SgqpQSVFID/di66klG2jyyrJAgCllZRly5chiZ+EtX+sxa5Ru9CxY0esWrUKXl7lp3cJxAJklWRhWptp+DfwX62ESlBaEADDmebvx9/Hl42/NMixFFEqKsXV91fxe5ffDXrcFStW4Pfff8esWbOwYcOGcj/ncrhY2WslLkZeRERWBK5HXUffBn0NugZdCEwNxN24uzjxtf7RAMYgOTkZ8+fPx9WrV1HQqgDijmIMdhqs8LZ+7n7S9wlLFCp/3vsTIlKEv3v8be6lAABEIhGWLFmCw4cPIy0tDTVr1sSECRPwv//9T5rtxKAck4mUAQMGoFGjRrh9+zZsbW2xYcMGDBw4ENHR0ahRowa8Xb1xZ/wdowgViqJwLvwc5gbMRWxeLKa2mYo//f80u1nf0Jw+fRqTJ0/G8uXL0aNHD1AUhTdv3gBgzPSGZt68eXBzc0NwcLD0e7Jm+s9VqOTychGRHSFJmc6ORES25M/3Oe+lHgEAcLVzRR3HOqjjWAf96vdDHcc6yIrJwusHrzGy/0i09W6L9+/eY/LkyegwtgPWrl0rve/Olzsx7fI0NKvWDJu+2GT2CsSnhKxQ6XOoD6J+ilJqeqZFirtj+UpKsbCMJ+WDcd7glRTqoyeFfh5I271kKykintQ8S1GU8kpKmXYvdSLl5pObgC+wdvFadKnWBQsXLkSfPn3w9u1b2NvLjziOy4sDSZH4yucr9G3QF1+f+Bq/3fwN6/quU/u7B6YGwsnGSVqd0of4vHjE58ejWz3j+VFuxtxEsbDYoELoxYsX2LVrF5o3b67ydkfeHIGDtQO61O2CIceGIHR6KBpUbWCwdejC+qfrUdexLr70Np4w1JXc3Fx06tQJ3bt3x7Hzx/DV/a/Qx7UPGtVUPoFOVqh8f/57nBhuGeLrbeZbbHuxDct7Ltcpy84YrFq1Cjt27MD+/fvRpEkTvHz5Et999x0cHR0xa9Yscy/P4jGJSMnKykJUVBT27NkjfYNZuXIltm3bhrCwMNSoIRlhKStUToSdMMgc8aDUIPx8/Wfci7+HvvX74vyo82hSrYnex7U0RCIRZs2ahTVr1mDixI8jF2Wv6MkKlf3B+/Fjux8rpCHZ3Fy9ehU3btzA6dOncfXqVbmf0UKl14FeCEwN/CRFCkVRiM+PR0h6CN5lvpMKkYjsCOmmDpBcYW/k3Aid63TG962+h5ezFzyreMLd0V3x884PwDcf/+rd0BsRERHYvn27nEiZ6jsVgKSdRCAWfFKVUEuAFiq3Y2+rnMqUmJ8IAAqnTclWKvgiPmw4NhCSQr0EpdIRxJBUUuhKjJgUw4ptJVdJKRWVSjNSSkWloECV86TYcmzLVTXUiZQ1O9eg7b9t4dfEDy3cWmDv3r2oVq0aXr16ha5d5fNH6FHlDao2QB3HOrg4+iKaV1e94aZ5lfrKYKb5+/H3AQBd6nTR+1jKOBd+Do2cG0l9DPpSVFSEb775Bv/++y/+/lv5FXIxKca+1/swptkYbOy3EWfenTG7QEkuSMax0GNY03uNxZj4ZVm1ahXc3d2xd+9eLLi5ACRIbBuzTeopU4afux9ujL1h1BHW2jLnxhzUdaqLWe0tZ/P/5MkTDBkyBAMGDAAA1KtXD0ePHsXLly/NvLKKgUleMc7OzvD29saBAwfQunVrcLlc7Ny5E9WrV0ebNvLtBN6u3njzwxvph4IuBkNA0sP7+63fsff1XjR2aYyr31xFvwb9DPL7WCKBgYFITk4Gi8VCq1atkJaWhpYtW2Lt2rVo0uSjKKOFyrxO82BnZVeuDYJBNenp6Zg8eTLOnTsHOzvFj5ubgxteT3sNa7a11GvhbOds4pUahhJhCUIzQhGcFozg9GCEpIcgJD1EeuXZwdoBXi5e8HL2Qp/6feDl7AUvFy80qNrAIC0A+fn5qFq1arnvT/WdisltJoNFsJCYLzFvMxUVw+Fo4yi96vvPk3/QrW63cq1fSQVJcLFzUZgkXiQo+tjuJeajMrcyCvgFerXi0fknstCeFJIilXpSbDg2EpHywZNCZz2UraQom+zFZXPlBI0sdJAj3fKWny95XSh6zkblRMGabS0VdXQbUnpROtY9WYdlPZYp/awLSg0yWFXiXvw9NK3W1GjvSWJSjAsRF/B9q+8N9pqcMWMGBgwYgF69eqkUKdejryO5MBkTW00El8PF6GajAUhG/1azr2aWPcCW51tgZ2VnUSZ+WS5cuIC+ffti0OhBuFT/EqrHVMf5I+cxefJktfftULsDAMlravGdxfiz+59ma/26+v4qrkVdw5kRZyzqwlXnzp2xY8cOREZGolGjRggODsbDhw8VtisylMckIoUgCAQEBGDIkCFwcHAAi8VC9erVce3aNTg5OZW7Pd2GdSz0GFY+XImAsQEat2YJxAJsfrYZS+8vBYfFweYvNmOq71SLvIJhSGJiYgAAS5YswT///IN69eph3bp16NatGyIjI+U+NAmCQCXrSijkF6Ld7nb4ruV3TOuXBlAUhQkTJmDatGnw9fVFXFyc0tvS05g2PN2A9U/X4874O6hftb6JVqobfBEfIekheJHyQvKV/ALvst6BpEiwCBa8nL3QvHpzfNHgCzSv3hwtarRALYdaRhMH0dHR2Lx5M9atU9wOwyJYyCvNQ+tdrTG66Whs7LeRESoGRiAW4ETYCfx1/69yHpWkAsWjd8WkGDwRT1pJoatdIp5IrxHEJKlApHxo9yIpUmklxZptLdfuVSwsBoBynhRVafPKnldJBUmwYlnB1d4VFEXhl19+QefOndG0adNyt43KiYJnFc9yQi04PRgbnm5ATG6MQo9KAb8AsXmxaFGjhdLHRhvorgJj8TjxMTJLMjG08VCDHO/YsWMIDAzEixcv1N72v6D/0KxaM/i6+Uq/R1EUzrw7g2tR13Bu1DmTCpUiQRF2vNqBya0nozK3ssnOqw0xMTHYvn07ms1thko2lTCvyzzMnDkTXC4X48ZpNk0uKicK/wb+ixcpL8ziURGRIsy5MQf+9fwN9rwzFPPnz0d+fj4aN24MNpsNsViMZcuWYfTo0eZeWoVAL9fOkiVLQBCEyq+XL1+CoihMnz4d1apVw4MHD/D8+XMMGTIEAwcORGpqqtLjN6/eHGlFaRon0199fxXNtzfHvJvzMLb5WET+GIkZ7WZUaIGi6WNMf4AvXLgQX331Fdq0aYO9e/eCIAicPHlS4bErWVfCcJ/hn30yvaaP8ebNm1FQUIAFCxZofOyRTUdaZDI9RVF4l/kOe4L24IdLP8B3ly8cVjig3e52mHVtFkLSQ9C5TmfsHLgTLya/QNGCIryd8RbHvj6GBV0WYECjARpXLzR9fGVJSUlBv379MHz4cEyaNEnpsZ1snLCsxzImmd5IWLOtlSbTJxYkKp3sBUC6KZMa50mhnDm+nFFezVNJ0Vhn2TBH+ngiUiT1pFizrUEQhFy7l7aVFJXjhwuTUdOhJlgECz/++CNCQkJw9OhRhbeNzo1W2HrUp36fcsn0srxJl/gKW1TXX6SkFKYgKicKXet2VX9jHTkbfhY1K9VEu1rt9D5WYmIiZs2ahUOHDsHGRnUgX1ZJFi5GXCxXwSEIAse/Po7e9Xtj6LGhuBZ1Te91acq+1/tQyC/EzPYzTXZObSFJEk39muIN9w3mdp6LX374BZMnT8b27ds1PkbLGi1x/dvreJ322izJ9P+++hfhWeFY12edxV2oOn78OA4dOoQjR44gMDAQ+/fvx9q1a7F//35zL61CoNfu/ccff8SoUaNU3qZevXq4ffs2Ll26hNzcXFSuLPng2rZtGwICArB//3789pviBFNNk+nfZ7/Hz9d/xuX3l+Ffzx8nhp/QuNfX0tH0MS4slAQ2+vh8zEHhcrnw9PREQkKCwvsxZnoJmj7Gf//9N54+fQouV76U7Ovri2+++Ubhm07ZZHpzVVRKRaV4mfISjxIeSdPLc3g5IEDA29Ubvm6+mNByAtq6tUWLGi0MmtCr6eNLk5KSgu7du8PPzw+7du1Se3zZZHoATEXFwJSd+vXguwdoWq0p4vLi4F/Pv9ztCwWS9yKpSPkQ5qjOOK92upeyEcSQb/cSU2JYsaxQKioFly15rfKEPGl7U7HgQyVF1pPCV1xJySxRkzZfKEmb/+mnn3DhwgXcv38ftWsrHrkblROl9Cq+bDL9t2e/xbGvjn0cH58eDCuWldosFk2g/SjGEin0kJohXkP0qprRvHr1ChkZGXJt4WKxGPfv38eWLVvA5/PBZkueU0ffHAUFCt80+6bccWST6YceG4qr31xFd4/ueq9PFWJSjA1PN2B4k+Go41jHqOfSh5o1a4LXhgdbK1upl8Pb2xunT5/W6jhlp37dGndLp1Z9bckvzccfd//A+JbjLTLnbu7cufjtt9+kn4HNmjVDfHw8VqxYgfHjx5t5dZaPXiLFxcUFLi7qwxdLSiSjRcuOW2OxWApL+LLICpUfr/6I418fl/6skF+Iv+//jfVP18PNwQ0nh5/EV95ffVIbFE0f4zZt2oDL5SIiIgKdO0sCuoRCIeLi4lC3bl2l95MVKgtuLcBgr8EGMztWFDR9jDdt2iTXD52SkoK+ffvi+PHjaN++vdL7yQqVZQ+WYc+QPQZZtypyebl4kPAAjxIe4WHiQ7xMeQmBWAB7K3t0qN0BP7X7CZ3cO6F97fZGb0PQ9PEFJKMwu3fvLq0EajqikRYqcwPmYnaH2Z/kwAJzQguVP+78AQ8nD1AUhdi8WHzn9F252xbwCwCUqaRwJCOI9RG/iqpktHCRa/eiPrZ70b3ppaJS6bkVVlJKlVdSXO1UZKQUJCMjOgNnzpzB3bt34eGhePqWmBQjJjdGpYmbFir5pflyn2HBacHwdvU2SKDnvbh78HL2Qo1KNfQ+liJC0kMQmxdrsJabnj17SidU0nz33Xdo3Lgx5s+fLxUoALAveB8GNBygtDWcFiq/3fzNJMNzLkZeRHRuNI58dcTo59KHVt1a4YLdBSz1Wyp9DURGRqrcNyiDFipPkp6YRKAAwIqHK1AiLMHf3S1j5HBZSkpKyn2OsdlstXtfBgkm6YPy8/NDlSpVMH78ePzxxx+wtbXFv//+i9jYWOnEA1X4uPrg7oS7qGIjmTRDUiQOBh/Eb7d+Q35pPv7X9X+Y23GuQgPn50LlypUxbdo0LF68GO7u7qhbty7WrFkDABg+fLjK+9JC5Wufrz87gaINderIXw2rVEmyyalfv77Sq6c0bg5uuP/dfekkFIqiDCqmS4QleJjwELdibuF23G0EpgaCpEi4Obihk3snjOw9Ep3cO6FFjRYW2/6YkpICf39/1KlTB2vXrkVm5scWT3oCoCqmtJmCYd7D4GLnIr1q/yldsDA3jjaO2PjFRgDAw4SHKBGWKBSDtEhxsHYAIPGkWLOtISSFsCWUv0frUkmhISkSICTHEJJCabsXXUmRNc4r9KTw8xVe7c4qyYKPi0+579O8ev8KJWEluHHkBhwcHJCWlgYAcHR0hK3tx981qSAJQlKodtLUYC9JNgVFUTgRdgLDvIchOD3YIK1eAHA/4b5RW73OhZ9DZW5lg1UpHBwcyvl77O3t4ezsLPf9N+lvEJgaiEVdF6k8HpfDxfp+6wFIWt/Cs8LRw6OHQdZalnVP1qFznc4GaXszJtY9rEGFUxA8ECDKLQrPnz/Hrl27NKpiK8LP3U8aWHku/Bx6efYymkclNjcW65+ux4LOC1Crcvkpg5bAoEGDsGzZMtSpUwdNmjRBUFAQ/vnnH3z/vWUOUrA0TLJbcXFxwbVr17Bw4UL06NEDQqEQTZo0wfnz59GihWZvvvTm+cr7K/j2zLfILc3FyCYjsbr3aosupZqSNWvWgMPhYOzYseDxeGjfvj1u376NKlWUjxGlIQgCzas3B0VRWHh7IZxsnD7L1i9jQl+9DEkPwYRzE3BqxCmdr/gLxUI8T36OW7G3cCv2Fp4kPoGQFKK6fXX09OyJaW2mobtHd3g4eVSYjfqNGzcQFRWFqKiocqJPU6+Ji50LKIrC6NOjUcO+BpOjYiQW3loIAOCJeOV+VshX3u7FkrFBEiBUCo+yKPKklP2ZFdtKMhGSJV9JkTXOK62kqDDOKyNPnAdkAf7+/nLf37t3LyZMmCD9e1ROFACgfhXNWj0jsiMw9uxYnAg7gZD0EAz3UX2hSRMyizPxNvMtfu9s2IBFWc6Gn8WAhgMMUvXRhv3B++Fi54L+DftrfJ+VD1di16tdOD/qvMEDH58nP8fDhIc4M+KMQY9raJIKknA+6Ty+rf8tzm46i9V/rYaHhwc2bNiAb74p3zanDVklWRh/bjxaVG9hNDP9glsL4GzrjLkd5xr82IZi8+bNWLRoEaZPn46MjAy4ublh6tSp+OOPP8y9tAqByS6p+vr64vr16zrfP60oDQtuLcC+1/vAYXHgWcUTm7/Y/MkFMuqDlZUV1q5dK5cpoQscFuez9qhoSr169XQyarvYuaBIUKRV4CNFUQjNCMWN6Bu4FXsL9+Pvo1hYDEeuI/zr+WNdn3Xo6dkT3i7eFXZTPmHCBLmNna4QBIFeHr0w7fI0AGCEihEY33I87ifcx/TL0+Hl7CU39UtVuxdBEMrFiQ7GedmfESDAYXEgJIWws7JTXkkRFIMAIf07oNg4T1GUSpFSwC8AuMCRHUeko26VEZUTBTbBRl0nzVpoGrs0lnpUhKTQIO1JDxIeADCeHyUuLw7B6cEGT5kvy927d+X+LiJFOBRyCGOajtFKHK3pvQZxeXEYcmyIwYXK+qfrUb9KfWllzFJZ8WAFKllXwtZxW1F5smHbfl3sXHDtm2tGS6Z/kvgEx8OOY++QvXJVUUvDwcEBGzZsYEYO64j+zjYjIxALsObRGjTa3AgXIy5ix4AdCJoShGJBMXoe6KnR1C8GzaFbvxZ1XfTZT/0yFrRHxYZjA/99/ojJjVF4u/zSfJx+exqTLkyC+3p3NN/RHIvuLIKIFGFR10V4Puk5sudl49yoc/ip/U/wcfVhNuMfmOo7FTsG7MCWF1sw8+rMz3Lq19atW+Hj44O2bdsa/NjpRelw4jqhsUvjclO/aOO8A1fS7kVXUugwR2XmebXtXir+DWkBw2Fx5CopdPWkrCfF3tpe7rWiqJJSJCiCQCxQKlLojBRN2kyic6NR16muVpvowV6D8XOHnwEAW59vLTf1S1vuxd2Dh5MH3B3LT2QzBBcjLsKKZWXyLJLrUdeRXpyOCS0naHU/LoeLk8NPok/9PhhybAiuR+l+EVWWhPwEnAw7idkdZuuVC2RsEvMTsTtoN371+9VovkTao2LoqV8UReHn6z+jVY1WGNdCszHJDBUTy2xO/8CN6Bv46epPiM6Jxoy2M7DEf4k0AZlOpu97qC+eT35usX32FZGyU788nDwwvIn+7QYMH5E10w85NgTB04LBIlgIzwrHhYgLuPz+Mh4nPoaIFKGxS2OMaDIC/Rr0Q9e6XQ06eetThk6mn3Z5Gvzr+eMrn6/MvCLTMmPGDMyYMQMFBQVwdCzfyqQPMbkx8KzqievfXsewE8OkwgSQVBhsObbS92R6FLCIFIEAITGRirU/Z7kwRxnNIiYlB7RiWUk9MHQFB5BM95LNSZGd7CUUC8ET8cpVUtSlzScXfhApDupFSlROlMatXrJYsa1QxaYKKFAQkSK9zMj34u+hW71uOt9fHRcjL6JbvW4mzwPZF7wPzas3R8saLbW+Ly1URp8eLQ2o1ZfNzzbDgeugtWgyNcsfLIeDtQN+bPejUc9DC5UFtxZAIBYY5JjHw47jWfIz3B532yBT5BgsF4vc2SfkJ+Dn6z/jzLsz6Fa3G06POI2m1eTNc96u3rgz/g7CMsMYgWIEaKHSsGpDDPIaZO7lfJK4Objh1rhbuBp1FfMD5uNC5AVEZkfClmOLXp69sPmLzejXoB/qOdUz91IrLFN9p6JJtSbo5N7J3Ev5pIjNi4VnFU842jji5tibIAhCOsGqgF8graKQFCkxzFvZStq9QOi+qVBRDCMpEhRFSdu9pJ4U2XYvmZyUshkpAMpVUtSKlA+VFDcHN7VLj8qJQuc6ndXerizB6cFoX7s9Lo6+CIIgEJ0TjTqOdbQWK7m8XISkh0hHzBqaQn4h7sbdxdo++rUaa0sOLwcXIi5gZc+VOleRuRwuTo84DYIgQFEUIrIjdB4gU8AvwK7AXfjB9wezJa9rQkJ+Av4L+g9Luy+VvlaNiZ+7H+6MvwOCIJBUkAQnGyedHx+ekIf5N+djsNdgo4+RZjA/FiVB+SI+lt1fhsZbGuNp0lMcGXYEd8bfKSdQaLxdvfG1z9egKAobn25kWr8MDEEQGNtiLGw4NghKDcKmZ5vMvaRPgiJBEc6+O4sJ5yag1c5WmHppKg4EHwCbYGPXwF3InpeNC6MvYJrvNEagGIDOdTqDIAicDz+POdfnfJatX4YmNi8WHk6Scbv05nD5g+Vot7sd3me/l15NLxWVAgBsODYfKylKRIq6di9VnhQx9aGSQhvnZUYQUxQlnzgvKJbrYc8rzQMAnSopzrbOaqdKUhSlNMhRHcFpksleBEGAJ+Sh676uCgMf1fEw4SEoUEarpNyIvgEhKcSgRqa9oHUs9BjEpBhjmo3R6zj0c3h/8H603NFS58DHPUF7UCIswU/tftJrPcZm+YPlqMytbPQqiiwEQYCkSAw6Okiv1q+NzzYipTAFq3sxreifAxYjUq6+v4qm25tiyb0lmNF2BsJnhGN0s9EaXR3JKM7AiocrNE6mZ9Ce69HXMevaLMajoiOphanY9WoXBh4ZCJfVLhh2YhhepLzAlDZT8GTiEwT/EAwRKcJf9/9CSmGKuZf7SZJRnIF/nv7DJNPriZgUIyE/QSpSaGa2nwkvZy8cCzsmrW7LihQhKdlYKw101MM4T4sUuUrKB+M83WJCG+WLhEXlJnsByispdAhkWZILkjXyo6QVpaFEWKJ1u1cOLweJBYnS8cO2VrbYPmC70mR6VdyPv4/alWuX+zczFBcjL6KJaxN4VDHO8ZWx7/U+9G/YH9UrVTfI8UY3Ha1zMr2IFGHjs40Y1XSUxY7DBYD4vHjsCdqDuR3nmrzawyJY2NZ/m84elYziDCx/sBzTfafDy8XLSKtksCTMLlJic2Mx9NhQ9D/SH3Uc6yB4WjDW9FmjVQmyeqXquD3+NjKLMxmhYiTmd5rPmOm1JKkgCRuebkDnPZ3h9o8bfrj8A4oERVjRcwXe//QeYdPDsLzncnSo3QE1KtWQmum77++O6Jxocy//k2Nym8nYOXAnNj/fzAgVPUgqSIKIFJXbkNKBjw7WDojKicKrlFfyIuXDdC9D9ZDLTggjSRIUKDlPSqmoFFwOV24NwIdKSpm0eXr9smSWZKKSdSWlHjA6bV4d9PhhbSspIekhAIDm1ZtLv0cHPmorVO7F30PXul2NMlhDTIpx5f0VDGw00ODHVsXbzLd4kfLCoN4POvBRF6FyLvwc4vLipMMOLJXlD5bD0cYRM9rNMMv59THTL76zGGwWG390Y8b3fi6YTaTwhDz8efdP+GzzwavUVzjx9QncHHsTPq7Kg7NUQSfT00IluyTbwCv+vCk79WvD0w3mXpJFkpCfgH+e/IOO/3WE+3p3zL85H1Vsq2DfkH3I+DUDdyfcxc9+PyvcsMhO/eq+vzsyijPM8Bt82kxpM0UqVP6+b5kJxZaOqswPRxtHtHVri0rWlXD4zWGpQLDl2EJEigBA6UbZEO1e0ule7I+eFDrLRXa6l6JKCh20SqMuIyW1KBU1K9VUuWbg4+OlbSZScFowuGxuuSvGtFC5G3cXkdmRao9TJChCYGogutYxzujh58nPkVmSafJWr/2v96OqbVUMaKg+EFobZIXK7sDdGt9v47ON6Fq3K1rXbG3Q9RiSuLw47Hm9B/M6zjOrZ4YWKm8z3+JlykuN7hOWEYZdgbvwR9c/lFY3GT49zOI4vxhxEbOvz0ZifiLm+M3Bwq4LDfKCoYXKqkerLHpudkWFFipcNhd+tf3MvRyLISE/ASfCTuDk25N4nvwcXDYXfRv0xcEvD2JQo0HlrtCqghYq+1/vh6sdkwFkDKa0mQJ7K3udjMwMkqBBK5aV0tYenoiHPp59sLbPWrzLfAfgY7sXBQosggUChESsaFHMKpetUma6F0VRsGJboVhYLNfuJRVKVh8T52U3OaqM86peg6mFqejt2VvtuqNzo1HLoZZa70pZQtJD0KRaE4WDYQZ7DUbMrBhU5laWVlOUmemfJT2DmBIb7fl+MfIiXOxc0KF2B6McXxEiUoSDIQcxpukY6QQ3Q0ILFRqekKfy3y8wNRAPEx7i9IjTBl+LIVl2fxmq2FTB9LbTzb0U+Ln7SZ/DFEXJDbdQxK8Bv8KziqfZKkAM5sGklZTonGgMPDIQg48NRoOqDfDmhzdY0WuFQRW9j6sP9g/dDxuODULSQ5jWLwNDEAQWdl2I9rXbQyAW4Mw7y07UNRbZJdnY+XInuu7tirob6mLRnUWo5VALh4cdRsbcDJwfdR7fNv9WK4FC4+bghgVdFoAgCFyOvKw0R4VBd75p/g3qOtVFDi8Hax+vZVq/tCA8KxwNqjZQOlWxgF+AqrZVwSJYeJr0FAAQkxMjZ5xXVE3RNidFrt0LJEiKBIfFgUAskFZSbDg24AkVVFKs5Cspthzbcpv8rJIspVdsKYpCWlGaxpUUnUzz6cFSP4oi6OEEE85PUNn69SjxEZxsnODt6q31GjThYuRF9G/Y36SZIAHRAUgtSjXqmF8uhwsuh4vwrHDU31RfZY7KpmebUNexrkWHN8bmxmJf8D7M6zTPYi7i0s/hBbcWoO+hvkpbv65FXcO1qGtY1WuVVllDDBUfk4iUEmEJ/rjzB5psa4I3GW9wesRpXPvmmlGNT2JSjNGnRzOBj0bk9NvT+OrEV5+NR6VEWILjoccx+Ohg1FxXEzOuzICdlR0ODD2AjF8zcGbkGYxpNsZgOQEiUoT5N+erDHxk0I9bMbcwN2DuZxv4qAsR2REq37sLBYXS10DtyrUBAD9c+QGA5CIHCyy1gkQRqtq9AEg9KUKxUC4nRaEnxVrek6LoYkIOLwfOtopFSjYvG0JSiBqVaqhdty4iRUSKEJoRqlKk0IxsMlKlR+VhwkN0cu9klDyJuLw4hGaEYmBD0/pRDoQcQBPXJiZprfJw8oCvm6/SwMf0onQcDT2KGW1nWHQcwrIHy1DVtip+8P3B3EspxxCvIUo9KmJSjLkBc9GlThd82fhLM62QwVwYVaRQFIVz4efgs9UHqx6twq8df8W7Ge8wzHuY0ZOx2Sw2Tg0/hYziDEaoGIlRTUd98mZ6ESnCjegbGH9uPKqvrY5Rp0chozgD6/qsQ/Ivybj27TWMbTHWKLPmOSwOboy9oTaZnkF3hjcZ/tkn02tLeFY4Gjsrz5Eo4BdIRQq9aaOnSuWV5imtpKijbLtXub8ryUmR9cUAij0pZVu9AIkQUSZS0orSAAA1HdRXUmJyY7T2o0RmR4Iv5qNFDfUiRZWZXkyK8TTpqdFygi5FXoIVywp9G/Q1yvEVUcAvwLnwcxjXYpzR9xGA+mT6Xa92gcPiYFLrSUZfi67E5MZg3+t9mN9pvsVUUWRRZabf93ofQjNCsa7POpP8ezNYFkYVKQtvL8SXx7+Ej6sPQn8Ixd89/oadlZ0xTykHHfjICBXjUNZM/6kIFYqi8Dz5OWZdnYXa/9RG30N98TTpKeZ2nIv3P73H00lP8VP7nww29lIVsmZ6RqgYh6m+U6VCZfa12eZejkVTLChGQn6CykqKbJgjbVr/d9C/AIA3GW8AKG7t0sc4D0havuRyUj5UUhQZ58tO91JWSalqW1XhuVILUwFAbbtXfmk+cktztR79G5wWDAAaVVIAeaFyIPiA9PtvMt6gUFCITnWMI1LMkTJ/9t1Z8EV8jG462mTnlBUqE85PQImwBAAgEAuw7eU2jGs+DlVsq5hsPdry9/2/4WLngmm+08y9FKXICpW1jyWhoMWCYiy6swijmo5C21ptzbxC/UnITzD3EiocRq1Njmk2Bh1qd8CgRoPMpoBpofLl8S+RWJAIV3vGjGxIaKECACmFKaAoqsJe7YjLi8OB4AM4FHII73Peo0alGhjddDS+af4N2tRsY7bfixYqEy9MtOh2gorMVN+p0sRpBuW8z3kPAEoTuYViIUpFpeXCHOnJWW1qtkFUTpTWpnlAtSeF/rnUk6KokmJlC4qiUCwsLpc4r6iSolKkFElEirp2r9i8WADQOj8kOD0Y7pXdtdr4DvYajBeTX8iNLH6U8AhWLCu0dTP8Bo9OmV/Te43Bj62KQ28OoVu9bnB3dDfpeWmhEp0bLb3YejLsJNKK0vBTe8sNb4zOicaB4ANY03uNSS8S64Kfux+eTHyChs4NAQDrn65HVkkWlvVYZuaV6U9UThSabmuKfUP3YVTTUeZeToXBqDueptWaKk2LNyXert4Imx4GNosNgViAQn4hM8LOgMgKFYIgdDaKmoMiQRFOvz2N/cH7cSfuDuyt7PG1z9fYNmAbutfrblIzqCrcHNxw9ZurACSm/QJ+gcmD0z51prSZIv3vmzE30dOjZ4UV3MYiPCscAODlrLiSUigoBIByIoV+HG05tqBAQSQWlb+zmoe63HSvMpAUCSuWFcSUWKknRSAWQESK5D0ppeUrKTwhD6WiUpWVFEeuo9qJXbG5H0SKlpWU0IxQNKveTKv7AJC2h12IuIBjocdAUiTauLXRerKYJgTEBEAgFpg0HyWlMAW3Ym5JK3OmhsvhwsfVB3wRH2PPjkVwWjB6e/bWOTrBFPz94G+42rtadBVFlibVmgAArkRewZK7SzDNd5rW7ZKWBkVRmHl1JqpXqm7RwxUsEbOHOZoKerM5/fJ0+O/3Z1q/DAxBSEaKvst8B++t3hbd+kVRFB4mPMR3579DjbU1MOH8BBAEgf1D9yPt1zTsG7oPvTx7WYxAKcsPl39At33dmMBHIxGcFozeB3szgY8KiMiKQDX7akqv8BfwCwAADtaSdi9aINCmbQoUCBCgQIGE6vatsqj7tyApUnoeuZwUmelexcJiAJCrpBTwC1DZWr5dKYeXAwBKRUpaUZpGfpS4vDjYWdmhmn01tbeVJTQjFE1d9bvAd+qtpP2rQy3jjAa+GHkRPq4+Jt1AHn1zFNZsa3zl85XJzqmMlMIUROZEorO75Y4yj8qJwsHgg/it029GEarGZHfQbogpMQJTA7VOprc0zkecx9Woq9jYb6PFV7Msjc9GpND84vcLk0xvRBq7NMaCzgss0qOSUZyBtY/XwnurN7rs7YJ7cfcwv9N8xM6Kxa1xtzCuxTizBlxpyoZ+G5hkeiPSokYLJpleCeHZ4UqrKICkBQj4WEnhCXnSjBQaDosDLlv7bAu1nhSKlF5YoKvmZSsp9GZH1pMiO42MRp1I0TTIMTYvFvWc6mlVkSvkFyI+P156RVkXBnsNxvYB28ET8fA0+anGyfSaIibFuBx52eQBjofeHMIgr0HlgjdNDZfDhZuDG+ys7LD84XKtkulNybIHy+Bq7ypXJa4IhGeF40LEBcxoOwOhGaFaJ9NbEsWCYsy6Ngv9G/bHEK8h5l5OheOzEyllk+kZoWJYLM1MLybFuBZ1DV+f+Bq1/qmFhbcXonXN1rg17haiZkZhUbdFqOdUz6xr1JayyfSMUDE8ssn0jFD5yLvMd0r9KMDHSopsuxfdZgV8bNliscqPIVabk6JBuxfrw0caXVGx4diAJ+LBmm0NFsFCsUBSSZFt95I1+tNoJFI0qKTE5sVq3er1NvMtAOjdKk3/jq9SXmHOjTl6HassL1JemDxlPjQjFK/TXuPbZt+a7JzKSC5Ixtnws/ir+1/oXb83hh4bKg0utRRicmNwMPgg5neaX+GqKL/d/A21K9fG2j5rpWb6sWfHmntZOrH8wXKkF6VjU79NTPuwDnyWLlxaqPTY3wP7g/fj146/mntJnxSyHpWdr3ZietvpJq9QxOfFY+/rvdgTtAeJBYloWq0p1vVZh2+affNJ+JFoodJjfw88TnyM+lXrm3tJnxz01cfDbw6rTUP+HBCIBXiX9U7lqFVpuxf3Y7uXDcdGeiWfoiipgNB2UIG624pJ8ccWzQ83pY3z9PhheiqTXCWFX76Sks3LBgCl7xWphakamdFjc2PRvV53tbeTJTQjFAQIeLvoF774KOERGlRtgE39Nhk8yPFS5CU42zqbNGX+cMhhVLWtii8afmGycypj+8vtsOXYYlLrSZjRdgYOvzmsUrybg5UPV8LZzrnCVVEexD/A+YjzODzsMGw4NtKpXxWxTSoyOxJrHq/B711+Zz6jdeSzFCmARKgETQ2STmeR+4Bj0BtaqMzxm4NK1pWkmxVjIiJFuBx5GTte7cD1qOuwt7bH6KajMan1JLR1a/vJXcVwc3DD62mvpY+rIgMwg35MaTMFE1tNBJvFRmphKmpUqvHJPY80JTwrHAKxQOVY3Hx+PoCP07x4Il65SgpBEAqrJjwhTzp6VxGatHtJBdCH49PtXvRrhBYp9IaHoigUCgqlHhqaHF4OCBAKp34BEk+KusleFEUhNi8W31f5XuXtyhKaEYoGVRvoLYofJj5E5zqdpZv6XF4u1j1Zh8XdFsOKbaXXsa9GXUXfBn1N9plJUiQOvzmMET4jzJ44Xioqxc5XO/Fdy++k4vb7VpJ/49NvT6OSdSWT5sYoIiE/Afte78OyHssq1Oaeoij8GvAr2tRsIzcBy8/dD4Dksf/z7p9Y2HWhxbdm02b52pVrY36n+eZeToXls2v3kqWmQ00QBIELERfQbnc7pvXLwBAEAUcbR5QIS9BhdwejtX6lFqbir3t/wWOjB4YeH4ocXg7+HfQvUuekYtegXWhXq90nu7GkN187X+5Es+3NmBwVI8BmsVHIL4Tvv76fdeAjLSBkR9yWJZeXCzbBllYq6CqGVKRQEuO8otdjqbgUX53Q3RAtpsTlUtWt2dZSXwxQXqSUCEtAUqTCdi8nGyeFm/BiQTEKBYVqPSmZJZkoEZZo3U4alhmmd6tXIb8QIekhciGOgamBWP1oNcacGaOXRyWtKA2BqYH4ooHpKhoP4h8gsSAR3zY3f6vXkTdHkF2SXW7sMEVROBJ6RGkyvSlZ9XAVKnMr44e2lpcur4qTb0/iefJzrO2zttxrGZBUJra+2FohPCrnI87jevR1bOi34bOvwuvDZy1SaBpWbYjkgmQm8NFI2HJsMdhrsEE9KhRF4U7sHYw4OQJ1NtTBykcr0a9+P7ya8grPJj3DxNYTLf5KiyEZ5DWICXw0Ig5cB/zR9Y/POpk+OD0Y9ZzqqazW5ZbmooptFakIkbZ7fTDO09UQAuVbvZy4TipHl2tSSaHPS/9pzbaWa9UrK1LKjkym0SQjRZ0nRZ/xw01cdTfNA8DTpKcgKVJOpPT07IlTI07hfPh5vYTK9ajrIECgb33TVQsOhRxCPad66Oje0WTnVARFUdj0bBMGNBpQ7rlKEASODDuiNJneVCQXJGN30G784vdLhfoM5Iv4WHBrAQY2Ggj/ev4Kb9O8enOlyfSWBE/Iw+xrs/FFgy9MPlziU4MRKWCS6Y2NIc30eaV52PRsE5psa4IeB3rgTcYbrOuzDsm/JOPfwf+idc3WBlx5xYFJpjc+ssn0n6NQCU4PVpuAnleaJzd5qaxxnqRIpQZ5NouNE1+fUHpsdcZ5ESmSG3UMfBQpyiopZUcm0xgibV6XIMfskmykFqXqXUl5lPgIVW2rwstFfhIbnUx/Pvw8vjnzjU7P4atRV+Hr5muyYORSUSlOvj2Jb5t9a/aK+P34+whOD8bMdjMV/lw2mX7IsSG4HXvbxCsE1jyWhDb+2O5Hk59bH7a/3I64vDis6rVK5e1kk+n7H+4PvohvohVqzsqHK5FalIqN/Taa/Tlb0WFEygdkhcqUSxXLaFYRKCtUQtJDtLr/q5RXmHRhEmr9UwtzbsxBs+rNcGf8Hbyd/hYz2880+0hKS0BWqPzv9v/MvZxPElqo7Hm9BxHZEeZejkq2bt0KHx8ftG2rf9o4RVEITlMvUnJ5uahi8zFDRaknRckHd2Wbygq/T69BFXIC6MNNrdnW4Il4csZ5AoRUtJQdmUyjSqSkFaUB0CBtPjcWTjZOWr03hWWGAdB/stejxEfo5N5JYcsMLVR6ePTQegMlIkW4EX3DpK1elyMvI5+fj2+af2Oycypj8/PN8HbxRi/PXkpvQwuVSa0noZFzIxOuTvLc3PlqJ2a3n13uOW3J5JXm4a/7f2Fiq4kaBWPSQqW3Z2+ze5TKEpMbg1WPVuFXv1/R0LmhuZdT4flsjfOK8Hb1xt0Jd+UmvzAYDlqoDPEaorKvnUYoFuL0u9PY+GwjniY9hXtldyzovACTWk9Su0H4XHFzcMO9CfekPfYURTFXcgzMVN+pGNJ4CGpUqgExKfFBWOJjPGPGDMyYMQMFBQVwdNRvoEJaURoySzKliebKyOOXr6TYWtlKW4tkW7bUVUZoQtJD0NO1p9rwR/rfQvbYiiopdlZ20n+vstPIaHJ4OUrfY1KLUsFlc9WKD13GD4dmhMKKZaXX5kZMivE06SkWdlmo9Dayqdfnws9hQMMBGpnpnyc/R25pLvo16Kfz+rTl0JtD8HXzNfv0rKSCJJwLP6fR1XEuh4st/bcAADKLMxGWGaa0hcmQrHu8DlYsK8xsr7jSY6ksf7AcfBFfOhVUE/zc/aSG+mtR19C5TmeLaG+bfW02qtlXw+9dfjf3Uj4JmEpKGRq7NIa7ozuySrIw5vQYpvXLwBAEgTZubQBI3pgUtX5llWRh+YPl8NjogdGnR8POyg7nRp5DzKwY/K/r/xiBooaaDjVRyboSwrPC0X53eyZHxQjUqFQDFEVh4oWJn0WOSnC6xDSvUSVFJo2+bLuXmBRLjPMKWr6UtYENOz4Mr1JeQZ2mEVEi6X/LihS6mgMAxcJiuWlHqjwpzrbKxw/TQ1dUEZcXp1WrFwCEZYShkXMjva4Ov818iyJBEfxq+6m9bXRONEacHIHRp0dr5FG5+v4qqtpWRbta7XRenzbk8HJwOfKyRWSj7Hq1C7ZWthjbQru8jhUPV6DfoX5GD3zMLM7EtpfbMLP9TLnXoKUTnxePTc824deOv2qUPVSWvNI8jD492iI8KpcjL+Ni5EX80/cfuSwmBt1hRIoSskuycTv2NhP4aERKRaVyHpU36W8w6cIkuK93x1/3/8IXDb5AyLQQ3Bp3C0MaDwGHxRT+tKEytzLySvOYwEcjQRAEOrp3/CwCH4NSg+Bg7aB2051XmgcnrpP07+XCHHV4jBpUbYBeB3shpShF5e3kKimUfCVF1jgvK1KUeVKyedkGSZvXupKSGap3q9fTpKdgESz4uvmqvW39qvVxasQpXIi4oJFQuRp1FX3q9zHZ6OGTYSdBUqTcOFpzIBALsOvVLoxrPk7rNqoVPVdIAx+NKVTWP10PAgRmd5httHMYg4W3F6KKbRWd8+qcbJxwZcwVs5vpS0WlmHVtFnp59sJX3rpPKWSQhxEpSvBy8WKS6Y3Mn/5/YmGXhZh/cz7qb6qP5jua41rUNfzR9Q8k/pyIfwf/i2bVm5l7mRUWJpne+HwuyfTPkp+hba22Cj0OstDTvWh4Qh5s2JLpXgQIiCmx0gqEsu+f+PoEvJy9cPTNUZXnFpEfKyl0W5mydi+aQn4hOCxOuQwndZ4UddVcMSlGfF68ViKFoiiEZhhGpDSr1kzjK7m0R0WdUMkozsCr1Fcm9aMcenMIvev3RvVK1U12TkWcfXcW6cXpmN52utb35XK4ODX8lFGFSg4vB1ueb8H0ttPhYudi8OMbi8DUQBx+cxh/+v+pV6tWWTO9OYTKusfrEJ8fzyTLGxhGpKiATqbPLM5Er4O9pFcDGfQnvzQfG55uwJE3RwBIzGY/tv0RsbNisaDLggr1RmvJyAqVgUcHym3kGAyDrFA5FnrM3MsxOBRF4VnyM7Sv1V7tbVVN97JmW0uffwpbu5R8rle2qYzr315HNftqKs9Nt5IBH0UKl80FTyhvnC/b7uVg7SC3qSgVlaJEWKJXJSWlMAVCUqhVu1daURpyeDl6i5Rnyc+0ToKnhUoOLwd8seJpSfRIXVONHo7NjcXDhIcW0eq19cVWdKvbDU2q6TYamhYqfRv0lU6HMyQbn26EiBRhjt8cgx/bWFAUhbkBc+Ht4i0Nw9QHWqgIxAIUC4oNsELNic+Lx7IHy/Bzh5/h7ept0nN/6jD9M2qghcqrlFcWN0WiIvI++z02PduEfcH7wBfxMaLJCBz76hhCM0MxsslIvZOQGcpDC5WY3BimZc5ITGkzBQ2rNkS3et3MvRSDk1iQiLSiNLUihaRI5JXmyU33olutyooUZYJEGY42jhjRZATWPVmn9DbKPCmqKikF/IJypvlcXi4AqBxBrDYjJU/7jBR6spc+GSn5pfl4m/lWp9aZwV6DMajRIBAEgYT8BNSsVFPu/fhq1FW0qdnGZFWNI2+OwN7KHkMbDzXJ+ZTxJv0NHiQ8UDkeWxO4HC7OjTwnFcQxuTHwrOKp9/ryS/Ox8dlGTG0z1ewVJ224GnUVt2Nv4+Loiwb7XPJz98OTiU9AEATSi9Jhb21vEjP9nBtzUMW2ChZ1XWT0c31uMJUUDfBx9ZGa5f599S/T+qUlFEXhQfwDDD46GI22NMLxsOP4ucPPiJ8dj0PDDqFd7Xb4vtX3sLe2x7vMd9jyfIu5l/zJ4ebghs51OkNMijHn+hwmR8UIdPfoDhbBQkB0AH698esn0/r1LOkZAKB9bdUipZBfCJIiFVZShGIhrNhWEFNiAIq9KSw9P450bfdSZJoHFIsUoViIzJJM9RkpH4IctUmbD80IhQ3HRq+N64uUF6BAaV1JoSEIAnwRH932dZMLfBSTYlyPvm6yVi+KonDozSF86f2l2Q3IW19shZuDm0HEEi1Qjoceh89WH4MEPm55vgWlolLM7TRX72OZChEpwryAefCv548BDQcY9NgEIQmKHXJsiElavwKiA3D63Wms7b223AUPBv1hRIoWZJdkY9GdRUzgo4aISTFOvT2FDv91QNd9XRGTG4M9g/cg4ecELO2+VOHVyIuRF/HT1Z8MlkzPIE9uaS4uRl5kAh+NSFxeHNY9WffJBD4+S36Guo511fow8krzAEDekyKTk6K23UtPRGKRtIIiJiViSFFOilwlRVCgMMgRUCxSMoozAGiQkZIXixqVakgN+5oQmhEKH1cfvUzpT5OewsnGSa98Di6Hi439Nsol079IeYEcXg6+aGgakRKUFoTwrHCzt3rll+bjUMghTGk9xaBV/qGNhxokmb6QX4h/nv6DSa0nwc3BzWDrMzb7X+9HWGYY1vReYxT/BkEQWN93vdE9KgKxAD9d/Qld63Y1+3CHTxVGpGiBs50zk0yvASXCEmx9vhWNtjTC8JPDYW9ljytjruDND2/wXavvyplUZZnbca5BkukZFONi58Ik0xuZyW0mf1LJ9E+TnqqtogASAQygXLuXIpGi2JKierMim7Gi6H4iSiT9b7piw2FxdK6kONuVH0GcWvQhbV6Ddi9dMlIMYZpvX6u92gEH6pBNph9zZgwuRVxCFZsqGvmSDMHhkMOoZl8NPT17muR8yjgQfAB8MR+T20w26HHLJtPrKlR2vNyBQn4h5neab9D1GROekIfFdxdjZJORGk2g0xVTmOk3PN2AqJwobPliC2OWNxKMSNES2WT6ngd6Iqsky9xLshgyijPwx50/UGd9Hcy6NgvtarXDy8kvcXv8bXzR8AuNXsRlk+n/efKPCVb+eSFrpvff5y9N0GYwHHQy/ZYXW7Dk7hJzL0dnSoQleJ78HF3rdFV7W7qSUi7MkWMLISmEFcsKYlKsPMRRzduDJmJPtpJizbYGQRAS4/yHikaxsFgurFeRJyWbl13u96ChTc+atHtpY5qnKAphmWF6+VEoisLTpKc6t3qVhRYqAdEBOBtx1mSjh0mKxPGw4xjhM8KsHjqKorDt5TZ82fhLo1QpZIXKxmcbtb6YUSoqxbon6zC+xXi4O7obfH3GYvPzzUgvTsffPf42+rloofIm4w0eJjw06LGTC5Kx9N5S/NjuR2YKqRFhXLQ6QAuVJfeWSNsIPmcisyPxz5N/sD94P9gEG5NaT8LsDrO16seWhRYqViwrtK7Z2rCLZQDwUahsf7Fd7dQkBt2Y6jsVtla2GoXqWSpPk55CSAo1GghAG87pdi+SIiEQC+QqKaWiUnDB1am6pKySwibYUtM8RVGwYllJzwdAdSVFUAj3yvIbvBxeDhy5jgo3yGlFaSBAwNXeVeVa4/Li0LWuemFHk5CfgCJBkV6VlOjcaGTzsg1a7RjsNRgvJ79Eoy2N8Kvfr1JvkTF5lPAIyYXJZm+fuR17G+FZ4dgxYIfRzkELFXo0N1/EB5fD1ei+e4L2ILMkE/M7V5wqSi4vFysersCU1lPQoGoDk5zTz90PMTNjUMW2CiiKgkAs0PgxVsWvAb/C3toeS/yX6L9IBqUwlRQd8Xb1xvGvj8Pe2h7hWeGfZevXk8Qn+PL4l2i8pTHOR5zHH13/QMLPCdjQb4POAoWGIAgs6rYI/vX8ISbFuBR5yTCLZpDi5uCGv3r8BRbBwq2YW0yOihEY12IcGjo3RAG/AJuebapwrV934+7C2dYZPq4+am9LV1IcuY4AJOIAgOJ2LwWoa/dSVoGRvbqfVZIFK/ZHkSImxRCSQq2me6nKSMkozoCLnYvKK/wCsQBJBUlatXuFZoQCgF4i5WnSUwAweBr80+SnoEDhVuwtjZPp9eFo6FHUcawDP3fzivutL7aiiWsTrcSmLnA5XNhZ2SE6JxqNtjTSKEdFKBZi9aPVGNlkpMk2+4Zg1aNVEIgFWNTNtFOw6Asnf9//G70P9ta79etu3F0cCz2G1b1WK6y4MhgORqToCUmRGHlq5GcT+EhRFK5HXYf/Pn903NMR4Vnh+HfQv4ibFYcFXRYo/XDXh3Ph5zDo6CDGo2IkxKQYv9z4hQl8NCK3Ym5h1rVZFS7w8V78PXSt21Ujj0NuaS4qWVeSXmkvEZYAAOys7MpN9zIkslPBbsbcBItgyVVuACjPSeEXKjTOK3sfSy9OV1t5TMhPAAVK68leDtYO5ao62vAs6RkaOTdS6KXRh6tRV9G6ZmuMaDJC42R6XRGRIpx8exIjm4zU21ejD0kFSTgfcR7T2043mdegduXaaF69uUaBj0feHEF8fjwWdF5gkrUZgqSCJGx8thFz/OaoHTxhLHp59tLboyIUC/HjlR/hV9tPOvWVwXgwIkVPWAQLR786+skn04tJMU6EnUCbXW3Q73A/8EQ8nB15FmHTwzCx9USDlE+VMcx7GGOmNyJsFhtXxlxhkumNyJfeX1a4ZHqekIdnSc80vpJcNsiRJ+QBkIgUAfmxkkJRlMKqiLrNoOxjJlt1kb2fA9cBxYJixOfFg8vmylVzAMXtXoqM86oqKeqyKBLyEwAAdZ3qqrydLG+z3sLH1UevDfHTZMP5UWjEpBjXo66jX/1+GifT68OtmFvIKskye6vXzpc7YW9lj7HNTbcJ1TSZXkyKseLhCgz2GlyhvBB/3pWkyuuS4WMoDGGm3/piK95mvsXW/lvNKqQ/F5hH2ADIJtN/akKFL+Jjd+BueG/1xshTI+Fs54xb427h6cSnGNp4qElepGXN9IxQMTy1KtfCnfF3GKFiRGST6Wdfm23xQuV+/H3wxXz09uyt0e1zeblyk71kKymy7V7K2rbUTveCkuleMht7/3r+4LA4OBtxFlYsq4+VFCtbUBQlJ1IoitK63Su9OB3V7VWLlPi8eADQqiryLvOdXknVPCEPr9Neo0Mtw4qUV6mvkM3Llo4elhUquwN3G/RcAHAs7BgaOTdCqxqtDH5sTRGIBfg38F+MazHO5LkXskLl2zPfopBfWO42Z8PPIiI7Ar93/t2ka9OHd5nvsOf1HizssrDcRQFTIytUlj9YrtV904rSsPjuYkzznYZWNc33HP2cYIzzBoIWKoOODkJUTpRaY6WlUyQowq5Xu7DuyTqkFqZimPcwHB52GG1rtTXLemihAkiM+hRFMSP/DAwtVMaeHavUpMygH1PaTAEgaTOy9Ofv9ejrqOVQSyM/CiBp95KtpJRt95J6UnTUZspEHZvFBotggaRIWLGsUKNSDXSv1x2vUl+BJ5JUc2hfDEmRUpHCE/FAUqTCSoqXs5fCc6UXpaNF9RYq15mQn4AalWpoXF2mKArhWeH4yvsrjW6viMDUQIhIkcErKVffX4WTjZPccQd7DcaTiU/QskZLg56rVFSKM+/OYHb72WZ9bZx+exrpxemY3na6Wc5PC5V3We/KiSSKorD8wXL09Oip0VhwS2Hh7YVwr+yOH3x/MPdSAEiEysPvH2qdJzT/5nxYsaxMMpmMQQIjUgyIj6sPwmeEw4ptBREpQiG/UC7YrCJQwC/Aludb8M+Tf5DPz8fY5mMxr9M8NHZpbO6lyQkVgiAQlxent0GfQZ5alWvh9vjbACTPhRxeDvMYGxhaqACSakWXOl0sUrBci7qGfg36aby2bF42XOxcpH8vW0mRG0GsQG9o0+4lvc+H/7EJNkiKBAkSNhwbVLKuBDbBxg+XJJsiG46N3HoAyfMbQDlPSjYvW3W7l7pKSn486jpq3uqVUpiCQkGhXpWUp0lPYcuxNXj7z7Xoa+jt2bvcoIA2bm0ASNqz9gfvx3+D/9N76te1qGso4BeYvdVr28tt8K/nr7E4NwZcDhcta7SEiBRh8sXJGNVkFPo26ItrUdcQlBaEW+NumW1t2vI06SnOhp/FgaEHjNoWri3NqzcHALxOe40/7/2Jg18eRCXrSkpv/yjhEQ4EH8CugbuM4r1lUAzT7mVg6DfqX67/gm77ulWY1q9cXi6W3F2CuhvqYum9pRjVdBSiZ0Zjz5A9FiFQaAiCAEEQiMqJQuMtjZnWLyMy48oMdN3blQl8NBJvM9/Cf5+/RQY+xufF413WO/Rr0E/j+2SVZCkUKbZWtvLtXko8KepQVN0jIHk/oNtOKZKSTveyYltJM4Bic2NRLCwG8FGk0K00mnpShGIhsnnZao3z8fnxWvlR3mW9AwB4u+ghUpKfom2ttgbNFcnl5eJ58nP0qd9H6W2KhcU4FnpMmkyvD0dDj6JF9RZ6iTV9CUkPwcOEh5jRdobZ1iALSZHILsmWBj4uf7gcHWp3QPd63c29NI2gKArzb85H8+rNMabZGHMvRyE8IQ+3Ym6p9KiISTFmXJmBtm5tMbH1RBOv8POGESlG4gffHypEMn1WSRYW3lqIuhvqYvWj1ZjQYgJiZsVgS/8tqONYx9zLU0r9KvUxr9M8xqNiRFb1WsUk0xsRH1cfbB+w3SKT6a+8vwI2wUZPD80Tv5WJFDsrO0mYI9sKFJQLFHWeFIX3IQiwwJKOIRZRIlixrMAX82FnZYfVvSXvDdMuT8Pz5OfS9QAylRSZlhqBWIAiQZFCkUIH92pinK9TWfP3zvCscFizrbUKfywLnTRvSO7E3QFJkSo9SWWT6XUVKkWCIlyMuIjRTUfrulyDsPX5Vrg5uGGI1xCzroPGmm0tDXwcfHQwHiY8xO+df7fIyqsirkZdxf34+1jRc4VJgkB1QRMz/Y6XOxCSHoIt/bcwZnkTwzzaRqJsMr2lCZX0onTMC5iHehvqYeOzjZjmOw2xs2Kxvt96o6TrGhrGTG98yibTM0LF8Mgm01uSUDkTfgbdPbpr1a6aVZIFZ9uP42/LtntxCMlVfmVCRZecFAIEQEgCHYEPYY4yOSl0ZaF+lfqYcG4CAMDeWpI4XygoX0mhs14U/d7pxekAoLKSQlIkEvITtKukZL5Dw6oNda6CJBckI6kgyeB+lIDoADSs2lDt7yIrVGZdm6XTuS5EXABPxMPIpiN1ur8hyCvNw6E3hzC1zVSjB1ZqAx346GjjCAKEVq2E5kRMivHbzd/QtW5XfNHgC3MvRyWyQmX0aXmhnFWShf/d+R8mtppo8AwiBvUwIsWIyAqVna92mns5ACT9zz9f+xkeGz2w4+UOzGo/C3Gz47C692q1VwgtDVmhsvn5ZuSX5pt7SZ8ctFCxtbLFzZib5l7OJwktVJ4lP5O2JJmT7JJs3Im9g2GNh2l8H76IjyJBkVwlhTat23Ik7V4c9geRQlGK/SVqrg7LtnvRgoUgJJ4U+uqmmBLDmm1dLifl+NfH8WO7HwGUb/eS9aTk8nIBQG5KGU1GcQYAqPSkZBRnQCAWaFWFfpel32SvZ8nPAMDwIiUmQOPJboO9BuPcqHOY3WG2Tuc6FnoMHWp3MKv/bf/r/RCIBZjcerLZ1qCM0IxQZJZk4ruW36Fpdd0DP03JkTdH8CbjDVb1WlUhKj+0UFnYZaHc9/93+3+SgQU9tZsExmAYGOO8kfF29cbLKS+l1QmSIs1SLkzMT8SqR6uwO3A3bDg2mNdpHma2n1nhDWC0UJnVfhYcbRylmxMGw+Hm4IagqUHSzV2RoEilwZBBe6b6TsXE1hPBYXGQWZwJFzsXvT/Yt27diq1bt0Is1i5A8WLkRZAUiaGNh2p8n2xeNgCUa/fisrlgs9iSMEeW5Oq0Ln4UQPl0LxbBkr6nikhJu5dALACX8zEnpZp9NfTw6IEVD1fgatRV8IQ8he1edCVFUYp0epH6Sgo9flibq93hWeGY2Er3PvenSU/hXtndoBXw2NxYROdGo3d9zUQKAPRv2B+ARPyte7IOC7ss1KgikcvLxbWoa1jTe43O69UXiqKw7eU2DPMehpoONc22DmUsf7gcDao2wK5Bu8AiWLjy/gpYBEsrz5gp4Yv4WHRnEb5s/KXBxbMx8XP3AyBp+1z+YDl6e/bGrle7sL7v+go/sbWiwlRSTEDtyrXBIli4EX0D7Xe3N2nrV1xeHKZenIr6m+rjaOhRLOq6CPGz47HEf0mFFyg0BEHA2c4ZpaJSdNvXjWn9MgK0QDkQfAA+W32YHBUjwGFxUCIsQbvd7QwS+Dhjxgy8ffsWL1680Op+p9+dRkf3jlpt1mi/RlmRQj9vBGKBXEuWwdq9ylRSSIqUa/fii/kAJC0zdPvZsdBj6HWwF0IzQ8Em2NI0ekAyRhlQ3O6VUZwBB2sH2FrZlvsZTXy+RKRoWknJL81HalGq3pO9DD2ONiAmAGyCrZNB+1XqKyx/sFzjwMfzEechIkUY3mS4Lks1CLdibyEyO9JiDPOyvM18izPvzuC3Tr9JfR17X+/VKJneXGx/uR2JBYlY1mOZuZeiE++z3+OfJ/+g/5H+8HLxMts4agZGpJiU2pVrIzE/0SSBjzG5MZh4fiIabm6Is+Fn8XePvxE3Kw4Luy6Eo42jUc9tLrhsLnp79mY8Kkakl2cvJvDRiNhZ2WFB5wVmS6bPLM7EtahrGNlEO28ALVKc7eQ9KXIi5cMGi6RInbNSykJ7UmTbvehKijXbGnyRRKRYs62lIuXcyHPwcvbCxqcbYWtlK1exUllJKU7XyDTvYO2g8P6K0Heyl5gUIzA1EG3dDJtfFRATgHa12un0WeFfz1+rZPqTb0+iU51OZvVCbn+5HU1cm6BLnS5mW4MyVj5cidqVa2Nsi7HS7x368pDaZHpzUcAvwLIHy/B9y+/NOqlNH5pUa4JfO/6KAn4BOCyO9GIHg+lhRIoJMUUyfUJ+AqZcnAKvLV64/P4yVvdajdhZsZjXaZ7J03NNDWOmNz6yZnpGqBgH2WR6UwuVo6FHQYDA6GbaTVlSV0kRkkL1lRRdclLKelJIGU8KS+JJsWJZgUWwpCKlRqUauP7tdVS1rYpiQTFep72WHi+XlwsOiwN7K/ty58oozlA/fjhPMn5Y01a9d5kSkaJtqBxNeFY4ioXFBhUpYlKMWzG3NPajKEI2mX706dFKw2HzSvMQEB2A4T7mq6KkFqbifPh5TG0z1eK8E7G5sTjy5gjmdpwr18Ysm0w/9NhQi/ILrn28FkWCIizxX2LupehMsaAY/wb+i651uyI+Lx79D/cHT8gz97I+SxiRYmJkhcr4c+MNdtyUwhT8eOVHaeVkZc+ViJkVg5/9fpZOs/kcKCtUXqW8MveSPjlkhcrcgLnmXs4nCS1Udr3ahdCMUJOdd9/rfRjYaKCc2NCE7JJssAk2HLkfr7yXCEukrVECseBjSxZI3XJSoCQn5UOYIwDpqGPZdi8bjg0AycaD9sg42jhiYMOBcLRxRO3KtaXHyyvNg5ONk8LNanpxukZBjtqY5sOzwlHXsa7O79EvU14C+BiuaAhepb5CbmmuynwUTaCFil9tP6U+zAsRFyAkhfjK+yu9zqUPe4L2wJptLVepsBTWPVmHKrZVMKn1pHI/o4XK+Bbj4VnF0wyrK09aURrWPVmHme1molblWuZejs6serQKmcWZ2DtkL65/ex0d3TtK30cYTAtjnDcDPq4+uDP+jkEM3ulF6Vj1aBW2v9wOW44tlnRbgp/a//RZG5tpofJFgy8M+uHN8BFaqNBXyimKsrirkBWdKW2moH/D/qhduTZIipQGFxqLkPQQBKUF6XQFlM5IkV0fT8hT2O6ldLqXOk+KsooS8bEKIybLt3vRKdeylR1AImi8nL3gYueCpIIkZBZnIq80T+FkL0DyXqtuBGlCfgI6undUeRtZ9J3s9SLlBbycvcoFUupDQHQAHKwdDDJudbDXYOl/X4u6hp4ePeXM9CffnkQn905m29CKSTH+DfwXI5uO1LhFz1RkFmdiT9Ae/Nb5N7nnrSxcDhc7B0kmh+aV5uFN+ht0qWu+lrW/7v0Fa7Y1fuv8m9nWoC+xubFY/Wg15vjNgWcVT3hW8ZQa6u/E3kHbWm0/6/2VqWEqKWbC29Ub9avWR35pPr4//73WrV9ZJVmYHzAfnps88V/Qf/it02+InRWLBV0WMC8gSDYt9BvL5mebmdYvI+Dm4AYnGyfE5sai6z4mmd4Y0Ff5f7ryk9FzVP599S+q2VfTKdOgbJAjAJSIZNq9xMKPqfA6Js4rEzay7V4iUgQrtiTMka6kcNmKRUqRsEjaAjv/5nz0ONADkTmRSjerGcUZBq+kvMt6p1fS/MuUl2hby/B+lO4e3Q2aFZKQn4Ahx4bIBT7ml+bjRvQNs7Z63Yi+gfj8eExtM9Vsa1DG5uebQRCExmb+VQ9XoffB3rgedd3IK1NMVE4UdgXuwoLOC7TKV7I0fg34FS52LljQZYHc9wv4BRh+crjKZHoGw8OIFDOTXpyOK++vaBz4mMvLxaLbi+Cx0QPbXm7Dzx1+RtysOCz2X/zJGuL1JbMkk/GoGBEuh4v0onQm8NGINK/e3KiBj/ml+dgXvA/T2kzTaXOaxcuSM80D5Y3zsu1eijSKWk+KwjvJ31dEimDNks9Jods0SoQlcm1VsqO0t/XfBi9nL1yOvKywNYmiKLWelAJ+AfJK8zQeP8wX8RGTG4PGLo01un1ZBGIBXqe9hm9NX53ur4giQREeJz7Wy4+iiDqOdXBy+Em5ZPoLERcgEAvwlY/5Wr12vtqJ5tWbo30tw05H05ciQRG2PN+Cya0nl3tdKWOJ/xL0qd8HQ44NMYtQ+d/t/6G6fXX81O4nk5/bUNyOvY0z785gde/V5S72VuZWxsXRF1Um0zMYHkakmJlGzo00SqYv4Bdg6b2l8NjogXVP1uEH3x8QOysWf/f4u0JftTAFjJneuDDJ9MbH2Mn0e4L2gC/iY5rvNJ3ur7CSokykkIo9KbqIFGWVFE3avWRFiqONI65/ex22VrYITA0s52XLK82DkBSqnO6VkJ8AABqnzb/PeQ+SInWupIRlhIEv5hu0knI//j6EpNDgIgWQT6Yfc2YMjocdR0f3jnKeIFOSXJCMS5GXLNIwvztwNwoFhfjF7xeN70Mn05tDqLxKeYXjYcfxp/+fKkd0WzIiUoSZV2eik3snjG6qeHCIbDI9I1RMAyNSLADZZPqeB3pKx2YCkg/SlQ9XwmOjB5Y/WI7vWn6HmFkxWN17tdbm1s+Vsmb6A8EHzL2kTw5ZodL3UF+N8hEYtENWqOwP3m+w4wrFQmx6vgnDmwzXOcguuyQbLraKRQpFURCSQrXGeV08KfQIYvq+QlIoF+Yo1+4lUiBSrD5eLXW0cYRnFU842zpL805o0ovVBznSIsW9srvK34OGnuylqyflRcoLsAk2WtZoqdP9FREQHQD3yu46TxtTBy1UEvISzN7q9V/Qf+ByuPim2TdmW4MihGIh/nnyD0Y3Ha1V6yAgL1SicqKMtMLy/H77dzR2aYzxLQ03DMjUbH+xHW8z32LTF5tUilZaqNCVUwbjwhjnLQRaqNyPvy/5cBXxsfPVTvx9/2/kleZhcuvJ+L3L7xV6YoY5oYVK7cq15cycDIaDFiphGWEG7Wdn+MhU36nwqOKBHh49DHbMA8EHEJcXh/Ojzut8DKWVFI4dRKQIAMCCTCXFQMZ5ejOhrJJSKirVqJJCU8gvxLgW4zDMexgoikJiQSLqONZBRnEGAKj0pCTmJ4JNsDXO+wjPCoezrbPOF5teprxEk2pNlJqqdSEgJgC9PXsbtbIw2Gsw8krzMP7ceHSu0xlCsdDk7xdiUozdgbsxuuloi2uTPhp6FIkFiZjXaZ5O9+dyuDg36pz0NZGQn6C12NGGu3F3cSP6Bk4NPwUOq2JuKbNKsvDH3T8wsdVEtK7ZWu3t/dz9EDg1ECyChRxeDqzZ1owX2EgwlRQLwtvVG5NaT8L+1/tR659amH1tNgY1GoT3P73H1gFbGYGiJwRBYEqbKXCycUJMbgy2v9hu7iV9crg5uKF3/d4gKRKLbi9iclSMQJ/6fcBhcfAw4SHmB8zXq/VLIBbgr/t/4Wufr9G8enOdj5NVUt6TwhPyYGtlKw1CY7E+Bi4aagQxDS1wRGKR/HQvmRHEmoiUvNI8afvsludb0GJHC7xKeYX0IkklRVW7V2JBImo61JROMVOHISZ7GTIfJaUwBWGZYehd3/CtXmU5/e402tdqjzGnx2icTG9IrkZdRWJBosUZ5kmKxOpHqzGg4QA0rdZU5+PQAuVc+Dk02tzIaIGPFEVh4e2FaFOzDYZ5DzPKOUzBotuLQFEUlvVcpvF9WAQLFEXhy+NfMq1fRoQRKRYCRVE4H34eLXa0wITzE1AkKEKDqg2wstdKjXucGTTnXPg5TL8ynfGoGIm80jwcDzvOBD4akYisCKx+vFqvwMd9r/chIT8Bi7st1nkdxYJiFAuLy1UZaFFAt6/SQkJMiVVWRZSidAIxIWecL+dJ+dDuVSwoVilSKIqSG0E8rsU4eDl7odfBXniZ8hLWbGu5HJiyJBUkadzqBeg32Ysn5CE0IxS+boYzzdOBgD09ehrsmIoo4BfgetR1jGgyAmv7rNU4md6Q7Hy1E61qtDLo42cIrry/grDMMMzvNN8gx/uiwRdGTaa/8v4KHic+xrIeyyzO16Mpr9NeY1fgLizxX6I2rLUsBEFgZc+VjEfFiDAixQK4F3cPHfd0xNDjQ1GjUg08n/QcgVMDUcAvMFoy/efOzx1+Zsz0RqSqbVUmmd7ITGw9Ua9k+iJBEf689ydGNh2p11Vb2q9RtsogFSkfKil04KKY1K2SosrHQpvnRZQILIIFkiI/jiCWbffifMz1KStSigRFEFNi6Qhi2kzv5eyFTc83KQ15pEksSNTYBE5SJCKyInSe7BWcHgwRKTJoJSUgJgCtarSCq72rwY6piIsRF8EX8/G1z9flkulNIVQS8xNx5f0VizTMr3q0Cn61/dC5TmeDHK9sMr0hhQpJkVh4eyG61u2qd/CnuaAoCjOvzoSXs5fGo57LwpjpjQsjUsxIYGog+h3qB//9/hCRIgSMDcDNcTfRtlZbuWR6RqgYnrJm+nWP15l7SZ8csmb67vu7I7kg2dxL+uSgk+k3P9+MP+78odV9lz9YjhxeDlb0XKHXGtKK0gAANSrVkPt+uUqKTOCiInQNc6QgCRLlsDgQkSJpq4vUk6IgJ6VUVAqSIuVECm2Clc1JoYVKZevKUm+NMrSppCTmJ4In4uksUl4kv4A12xrNqjfT6f5loSgKN2NuopdnL4McTxUn355E+1rtpT4JWqhci7qGwNRAo59/d+Bu2FnZYUyzMUY/lzY8TnwsaeHsNN+g4klWqKx6tMpgkwFPhp1EcHpwha6inAg7gQcJD7Ch3wa9fFG0UAlJD8GtmFsGXCFDxXQ5VXDeZ7/HojuLcDzsOLycvXBq+CkM8x5W7oVOC5UFtxYYJJ2eQR5aqHBYHPi4+ph7OZ8ktFBZ/2S9yn5+Bt2Z0mYKrNnWWrWuvMt8h3VP1mF+p/mo51RPr/PTIkW23YukSPBEPLlKCv3+pspbogpV1RdapMheiafbvRR5UuirnbIiJbc0FwDKjXR3tHFE21ptpSJFkdGboigk5mteSYnMjgQAeDl7aXT7srxMfYkW1VsY7HMhPCscaUVpJmn1uhZ1Dct6yPf+D/YajLjZcXCxcwFFURBTYqOYsEWkCLuDdmNM0zHSIE9LYdWjVfB28cYgr0EGPzYtVPhiPgiC0HtYgYgUYdGdRejfsL/Bqj6mpkRYgrkBczHEa4hBKkF+7n6ImhklHYRhjoEQnyJMJcWEpBSmYNqlafDe6o1HiY/w3+D/EDo9FF/5fKX0SoSPqw/OjzoPRxtHxOTGMBUVA0MQBP7o9ge+aPgFSIo0W1rvp4ybgxvW9FkDDouDRwmPmBwVIzCh5QQ0rdYUJcISbHuxTeXVUjEpxvcXvkc9p3pY0HmB0ttpSnpROtgEW844XyoqBQC5SgpLzceN2pwUFb8TgY+VFPo4qhLnFYkURZUUmhxeDmpUqoHgtGB4bfEql6OSW5oLnogHd0fNKimR2ZGwYlnp7Dd8kWxY0/zt2NuwYlkZfcN5KfKStNWrLPTm7ufrPxut9evK+ytIKUzBVF/LMsy/zXyLCxEXMLfjXIVhooaAy+GiMrcyEvIT4LPNR6/Puv2v9+N9znv83f1vA67QtKx6uArpxelY18dwXRT0c3jd43XoeaAn0/plABiRYgJyeDmYHzAf9TfVx6m3p7C692q8/+k9vm/1vcZXiyiKwqhTozROpmfQnkuRl9DvcD/Go2IkSIrEzGszmcBHI3Iz5iZmXJmhMvBx+YPleJb0DP8N/s8gwWtpRWmoXqm63OaqRFgCALDlfJzupaabS327lxofC5tgS0TKh+Nw2Vy5MEeeiCf9fRVWUngfKik25cNxM4ozUN2+Ouo51UM1+2rodbCXnFBJzE8EAI0rKe9z3sOziqdO1YJCfiHCs8INavq+FXsLHWp3gL21vcGOqYiTb0+iXa12KsVZD48ecsn0hmR34G60qdlGozGzpmTN4zWo5VAL3zQ3fmZLdfvq8Hbx1jnwkS/i4897f2JEkxFoVbOVEVZofOLy4rD68WrM8ZuD+lXrG/z4Hd07Mh4VA8GIFCNSIizBigcr4LnRE1tfbMXcjnMRPTMav/j9Im1B0BSCILB/6H61yfQMujOo0SDGTG9EWAQLF0dfZJLptSAuLg4TJ06Eh4cHbG1tUb9+fSxevBgCgUDh7Qd7DVaZTH879jaW3FuCP7r9YbCr5unF6eUmexULigFIRIBsOK0+kFT5NjGCIADqYyVFSMq3e8l6UnhCHmw5ykWKqkpKRnEGqtlXkzPTywqVpIIkAJoHOUZmR+ocmBiYGggKlMGS5sWkGHfj7ho0e0cRhfxCXH1/VW2AY9lkekMJleSCZFx+fxkTW000yPEMRVJBEg6HHMbPHX42SVu3vsn0O1/tRHJhMpb6LzXSCo3Przd+RVXbqvi9y+9GOT5jpjccjEgxAmJSjD1Be9Bwc0MsvrsY41qMQ/TMaCztvlSv4KiyyfSMUDEsZc30jFAxPLJmekaoqCc8PBwkSWLnzp0ICwvD+vXrsWPHDvz+u/IPV9lkelmhklyQjDGnx6B7ve5Y1HWRwdaYVpRWzjQvKwKknhQ1lRJdzbeyxnlZISObk0JSJPhivspKSl5pHuyt7Mv1kfNFfBQKCqVTr2SFyohTIyAUC5FYIAlyLPs4KEMfkfIy5SXsrOx0Nt2XJTg9GLmluUYXKapavcoiK1S2vthqkPPvD94PLpuL0c1GG+R4hmL9k/Wwt7bHlDZTTHZOWaEy6vQojZPTiwRFWPZgGSa0mAAvF938VObmbtxdnH53Gqt6rTJqAKOsUFl8R/cR7587jHHegFAUhevR1zEvYB7eZLzByCYjsbzncnhW8TTYOWih8sXhLxCaEYruHt0NdmyGj0IFAILSgkBRVIWdXGKp0EJl5KmR0rYgBsX069cP/fr1k/7d09MTERER2L59O9auXav0flN9JeNVUwtTpc/fYceHgcvh4vCwwxoHDmpCenF6uQ2zrAjI4eUAkIgJK5aVXLVDG8pWhcqKnrKtU9KcFA5X6pFRVUnJLc1VWEXJKskCALlkeFqoJOQnwIpthaSCJLg5uGn0uArEAsTmxaJh1YZqb6uIV6mv0KpGK4MZy2/H3oYtxxYdancwyPGUcfLtSbR1a6vxoIbBXoPx4LsHBmnNIikS/wX9h+FNhiv8NzYXubxc7ArchZntZprcyE8LlZD0EI0fk03PNiGvNA9/dNNukqClICbFmH1tNjrU7oBvmhm/tc7P3Q/3v7uPBlUbGP1cnypGr6TwhDxjn8IiCEwNRO+DvfHF4S9QxbYKnk16hmNfHzOoQKHxdvVGxI8R6O7RHSRFanwVhEEzaKFyeNhhEATBjM41Am4Obrg/4b7U7B2fF2/uJVUY8vPzUbVqVaU/5/P5KCgowKiGo/Bz65+Rmp0KQGJwv/7tdYNPWUsrSkMNe/WVFFCAFUv5tBu1xnkFnhTqw/8AlDMcy7Z70Z9D6iopijZrmSWSirWrnXx+iKONI5pVbwa+iI8jb45ovNGLzY0FSZF6tXsZ0lNxK/YWutTtYtRWoyJBEa5GqW/1Kkv72u1hxbbCo4RHmHBugs6tX/fi7iEmNwaTWk3S6f7GYtuLbRCKhZjZfqZZzs/lcNG2VluQFIkZl2eozFHJ5eVi9aPVmNZmWoUNmN77ei+C04Oxoe8Gk118bFmjJSpZV0J4VjhGnByhdpQ5gzxGFSmphanw3uqNQyGHjHkasxKfF4+xZ8eiza42SC5MxoVRF3B3/F20q9XOqOelzaALbi5Al71dmNYvA0MQknC4uLw4eG3xYlq/jAD9ITHz6kx02duFCXzUgOjoaGzevBnTpk1TepsVK1bA0dFR8lXTEY3/klQ5utXrpvPIW2VQFIX0ovRywqdY+NGTIhB/9M/oU8EpK1LKVlLoY9MVF9kwR55IIlJoL2CRoAgcFkduY55bmltu/DCguJIiC1/MRzYvG+FZ4eWmfimCHj+si0gpEhQhMjsSrWoYxrAsEAvwIP4BetQzbqvX1fdXUSoqxVc+X+l0/xxeDo68OaLz1K/dQbvRyLmRRY3L5Ql52PhsI75r+Z3Zx7OLSBESChJUBj6uebwGQlJoNB+HsSngF2Dh7YX4tvm3aF+7vcnPn1eah651uxpltPanjFFFSvVK1dHDowfGnxv/yQmVXF4u5gXMg9cWLwREB2DHgB1488MbDPIaZNL2oPEtxzOBj0akrmNd/OL3C+NRMSJLuy/97JLplyxZAoIgVH69fPlS7j4pKSno168fhg8fjkmTlF8RXrBgAfLz8xGSEIJGKxuhaj1J1eVc+DmdkulVUSgoBE/EU+pJsbe2lxrnKVAqP6B1DnP88H060Z4WM7I5KYravRysHeTeq5VWUj68rypLYq/MrQwXWxc42zmXm/qliMjsSNhZ2cHNwU3l7RQRnBYMCpTBKikvkl+gWFhsdD/K2fCzaFmjpc6dBYO8BumcTJ/Dy8Hpt6cxqdUki2rd3fd6H7J52ZjTcY65lwJrtrXKZPq0ojRsfLYRs9vPNrug0pVl95ehkF+od3itrnSo3QE/tvvRLOeuyBhVpLAIFnYP3o3xLcZ/MkKFL+Jj/ZP1aLC5Aba+2IrfOv+GqJlRmOo71SwKmUmmNy6Mmd74lE2m/xyEyo8//oh3796p/GratKn09ikpKejevTv8/Pywa9culcfmcrm4lXwLXY90hZAUImBcAABgQ78N2Px8s0GFSnpROgCUm+5VJCgCAUI6gpgAATGpJqBPzf6x3JoJANRHUVK2ksIiWBBTYqXtXmVNs7m8XIXjh7NKssBlc2FvpXg8L0VRSC1Kxcx2M6VTv+iRxIp4n/MeDas21GnDHJQWBGu2tcHCZ2/H3oYj19GoI3n5Ij4uRV7CsMbD9DoObaa/EHEBM67M0Ph+h0MOQ0yJMa7FOL3Ob0hEpAhrn6zFV95fWYxfQTaZfuixoQhKDZL+bPmD5bBmW+PXjr+acYW6E50TjQ3PNmB+p/kajwlnsAyMvqumhQoATL00FX3q90E1+2rGPq3BISkSJ8JO4PdbvyM+Px6TWk3CEv8lqOlQ09xLkwqVHvt7YMPTDVjWc5n6OzFojKyZft2TdZjYaqJccB2D/tBCxX+fPy5GXsTsDrPNvSSj4uLiAhcXxe1DZUlOTkb37t3Rpk0b7N27FyyW8mtLObwcLLy1EDte7cAw72HYPWg32ELJ5v27Vt/BtpIttjzfgkJBISpzK+v9e9Bp84oqKZWsK4EgCKl5XUyJVbZ76ZKTQklUCoCPnhT6dvSfsu1espWUsiJFlSfF1d5VqajI4eWAJ+KhoXNDXP/2Og6FHFK5EdJ3/HCzas0MlmR9O+42utXrZtBBCmW5FXsLhYJCfOn9pd7HGuw1GGdGnkEdxzoa3Z6iKPwb+C8Gew22qArAmXdnEJMbgxNfnzD3UuSghcr2l9vRvHpzAJKW9h0vd+BP/z8VtkNWBObdnIdq9tUwt9Nccy+FQUtMcumfFiqz2s+qkALlXtw9zA2YixcpLzCo0SBcHnMZ3q7e5l6WHD6uPng26RlqVa4FAMxUKgNDC5Uf2/0IZztniEgR01tqYNwc3PBqyivplBvZhPDPlZSUFPj7+6NOnTpYu3YtMjM/Vkpr1PgoDARiAba92Ial95ZCRIqwtf9W/OD7AwiCQIGwQHq7KW2mYELLCbBmWyOXJ5lmpc/7RGqRxJSvTKQAkKa+C0mhXq8ZZZ4UEiQoUB9FyodKimyooyaVFGUiJaskS6kfBZDPSHG0ccSMdpKr/KfenoKHkwfauLWRu31kdiQ6undU/wsrICgtCL41DRPiWCoqxZPEJ1jZa6VBjqeMs+/OomHVhmji2sQgxxvYaCAAiadjw9MN+LXjr0pF28uUl3iT8Qareq0yyLkNAUVRWPt4LbrX617uuWEJcDlc6UWiu3F3seLBClSxrWI2c7++3I27izPvzuDwsMOf/edJRcRkOSksgoUWNVqApEhMuzStQrR+RWZHYuixofDf7w8AuDv+Li6MvmBxAoWmrlNdcFgcPIh/gE57OjGtXwaGIAhUs68GgViAPgf7MK1fRoAWKCfDTsJnq89nn6Ny48YNREVF4fbt26hduzZq1qwp/QIk4uRg8EE02dYEc27MwYgmI/D+p/eY3na6UvFBT73y+89PZTK9JiQXJMPeyr7c5l5OpHyopAjFqkVK2elcZVG0Tlq4ECA+elI+3I7OTLHh2JSvpAjLi5R8fr7C6lJmSWa5yV6yJBaUT5snKRIbnm4o51EpFhQjuTBZp0oKX8RHaEaowVqzniU9A1/Mh389f4McTxFiUoxzEecwzHuYwS+avUx5icV3F6sMfNwduBu1K9dGn/p9DHpufXiY8BAvUl5gjp/5vSjqWPN4DW7E3MCwxsNgb6243dGSkR05PLqpZeXjMGiGWcIcBWKBRXtUcng5+Pnaz2iyrQmC0oJwZNgRPJ30FN3qdTP30jTCxc4FMbkxTOCjkbBiWaFznc6MR8WIdKrTCdZs688+8HHChAmgKEruSyQW4W7sXcy4PAPu690x7tw4eDl7IXhaMHYM3KFRW4sNxwY/d/hZaTK9piQVJKFW5VrlNqCKKikiUqRSiOjS7gVIRAkFSipSaHFC/8nlqK+kkBSJQn4hHLnlw3Y1qaSUDXJkESxcHnO5XDJ9VE4UAOiUkRKWGQYRKUKrmoaZ7HU37i6q2FSRtvUYg4cJD5FVkoUvG+vf6lWWLnW7qEymLxIU4UjoEXzf8nujtrNpy7on6+Dt4o0vGn5h7qWopZJVJdhwbLD39V6tk+ktAXOMHGYwLCYXKZZspheKhdj0bBMabGqA3UG7sdR/KcJnhGN0s9Fqr/JZEkwyvXFhzPTGh0mmlyerJAvnws9h5tWZcF/vDv/9Eu/O2OZjETY9DJfGXELTak3VHkcWZcn02pBUmKTQf6GwkqJvu1fZMEeCAEVRICkSFPWx3YukSBAgpHkEXPbHMEfZEcSyIqWQXwgKFBxtyouUzGI1lZT8RIVBjrLJ9L0O9kJQapBe44cDUwPBIlgGExX34u+hS90uRv1sOxt+FrUcaqFtrbZGOb5sMv3o06MhJsXSn50MO4liQTG+a/WdUc6tC++z3+NCxAX84veLxe8pwjLCcPLtSazutRp96vfBkGNDEBAdYO5laYy5Rw4zGAazNNXLmunHnxuPuo510aVuF3MsBYDkw+9S5CX8GvAronKiMLHVRPzV/S+LMtppCy1Uuu/vjjFnxiBgbMV5c6kIyJrp59+cjy51usDP3c/Mq/q0kDXT/3T1J1wec9ncSzIqFEUhtzQXMbkxiM2Nxfuc9whJD0FQ2sfNbR3HOhjuMxwjm45Eh9od9N7oTPWdCgD48eqPmNBygtY98kkFSQqnExULixVWUuhqhyL0DXOk709SJKzZ1tJ8FmXG+fpV6kuPU8CX+HZ0qqQUJsHd0V3hz2ihMuPKDFSvVB1X3l9BVduqOg3eCEoNQmOXxgbpqy8VleJJ0hMs77Fc72Mpg6IonA0/iy8bf2nUDTktVF6nvZY7z+6g3ehdv7fGCfemYP3T9XC1d8W3zb8191LUsuTeEtR1qoupvlMxpc0UTL88vUJNxjL3yGEGw2A25y8tVDq5d9LZRGgIgtOCMefGHNyKvYWeHj1xcvhJo5a/TQktVJS1STDoBy1Uenr0ZASKkaCFiqqkclWQFAm+iA++mC/9UyAWyH1PIBZATIk/XpXHx6vzyv5Otxip+pOkSPDFfJSKSst98YQ85PPzkVWSJf3KLMlEibBEunYnGyc0q9YMfTz74I+uf6BL3S4aTzXShqm+kqmLHlU8PprONWyNSCpIgn9d/3LfLxIUSf0dsp4UVSJFHQo9KR9a4ICPnhYxJZYGOQIfPClCHqxYVtJqR9lKSj4/HwDKVVJIikRWSZbSjBRAUklRtXlztHHEoWGSjoGQ9BDUcqil9ndVRGCa4ZLmnyc/R6mo1Kh+lMDUQCTkJxhkqpc6BnsNxmCvwQCAO7F3UNW2Kh4nPrao6VlZJVnY+3ovfu/8u7SiZ6kEpwXj1NtT+G/wf9LA0/+G/AdA8toJTgtGpzqdzLlEldAjh3/v/HuFElYM5THreCIWwcLE1hMBSPpjUwpTMKbZGJOcO60oDYtuL8J/Qf+hkXMjXBx9EQMaDvjk+hZpk3+xoBhzbszBX93/UvmBy6AdBEFIvUp7gvYguySbGXNoQOhsjYziDNyNu4ul95didNPRsOHYIL80H/l8yVcBv+Dj30s//J2fL23zMSc2HJtyX1w2F442jnC1c0U9p3pwsXOBs60z3B3d4eHkAc8qniYd9+lRxQMA8NvN38AT8bCx30a174ViUoyUwhSl7V50WCFfzIc12xpCUqjXCGJl0KKwrEih/+25bEklhfaj0OuTEymlH0RKmUpKfmk+xJRYZSUlsSBRY/FwJ+4O8vn5eJXySquqlZgUIzgtGMN9hmt8H1XcjbsLJxsno16QO/PuDKraVkXXul2Ndo6ypBSmoP+R/nCv7A5nW2epcLEEtr/YDgIEfmj7g7mXopbFdxejfpX6GNt8bLmfrX60Gqsfrca5UefQr0E/M6xOPczI4U8Hi5mheuqtZDY3SZFGLYXyhDysf7oeKx6ugDXbGhv7bcQ032kGmztvqaQUpuBc+Dk8SnyE2+NuM0LFCMTnxWPp/aWgQGFep3nmXo7FU8AvQHJBMpILk5FUkCT/34XJSC5IRkZxRrlK4MLbC2FnZYcqNlXgaOOIytzKcOQ6wtnOGR5OHnC0cYQjV/L9StaVwOVwwWVzweVwYc22lv637Pc4LA4IEGARLBDEhz/L/J3+HkEQGv3JIliwZltXqAsf9avWx9RLkhYwdUIlozgDIlKk3JNipV27lzrKeVJAfKxy4ePIdTEplqbNAx+N83Srl3R9GlRSMks+pM0r8aRQFIWkAsW+HEWISBGq2VdDr4O9cHPsTY2FSkR2BHginsEqKXfj7qJr3a5GNZSfCT+DwV6DTTqq3c3BDYeHHcZXJyQhiZbi+ygVlWLLiy0Y32K8SsFrCbxMeYnzEedxYOgBhfuihV0WIigtCEOPDbVIocKMHP60sBiRsumLTSgRlmD8ufEAYHChQlEUjoUew2+3fkNKYQp+avcTFnVdVGHDibSloXNDaeBjjwM9GKFiBJb4LwEFCvNvzgeAz16oCMQCxObGIiY3BjG5MYjOjZb+d1xeHAoFhXK3d7FzQS2HWqhVuRZ8a/piiNcQ1KxUE672rnC1c0U1+2oQioUYenwoSkWluDP+DupXra/k7Ay6MKXNFADQSKjQ+SDqjPMCsUBqnFclerT1pEjb6z580ZUYMSUGl8OVtnvpU0nJKskCAKUby9zSXJSKSjVq4crh5SC3NBf/9P0HO17u0Eqo0OnfLWu0VHtbdfBFfKP7UcKzwhGeFW6WfBJamMTlxWH06dE4+tVRs1+EPBRyCJnFmfjZ72ezrkMTFt9dDC9nL6VdLXTg49cnv7Y4ocKMHP70sBiRUtZMb8WywsimIw1y7JcpLzHz6kw8SXqCoY2H4ubYm2jorP0IyIqObDJ9jwM98GzSM+ZKgwEpa6Z3tXO1qMkyxiKzOFO6KYnIjpD+GZMbIx0Da822Rj2nevCs4okudbpgbPOxqF25NmpXro1alWvBzcFN4z5t2kzf+2BvvJvxDlwO15i/3meHrFBpVq0ZJreZrPB2mooUvuhDmKNYdbuXOnStpNhwbFAqKpVWUgRiAQRiQblKCptgl3s/pCcjKrugk1KYAgDSEF1VvM9+DwBoUb0Frn97Hf2P9Ed4VrhGIiUwNRCeVTwVhk1qC+1HMeZI/fPh52FnZYfenr2Ndg5l7Hu9D61rtsbiboux5O4SFPALdBpUYChIisQ/T/7BYK/BOk11MyVPEp/gyvsrOPrVUZWvVVmhEpIeYjEihR45/GTikwpVwWZQjsWIFOCjUKlqW9UgvbJpRWn4/dbv2Pd6H5pWa4rb426ju0d3A6y04kILletR1xmBYgRooVLdvjoGeQ0y93IMSqmoFG8z3yIkPQQh6SF4k/EGIekhyCjOACB5/Xo4eaCxS2MMbjQYjV0ao6FzQ9SvUl/hiFZdoc30r1JeMQLFSExpMwW1K9dGT4+eSm+TVJAEa7a1wipD2ZyUytzK4Al5qqd7aZmTQoGC5P+S/7E+TNQXUSJYsaw+elI+tHvRIrhYUAwA5SoplbmVy21s6EpKVduqCtdEixTaf6MKekJbQ+eGqGRdCfcn3Je+JlIKU1QeIygtCK1qGC4fxZHriBbVWxjkeIo4H3Eefer3katemYKM4gxcfn8Z6/uux2CvwRjQcADYLDYyizPhZONklorKtahreJf1DjsH7jT5ubVl8d3FaOLaBCOajFB7Wy6Hi3Mjz0mfw6mFqajpUNPYS1QKPXL4m2bfoEPtDmZbB4NhsSiRAkg2Omv7rAUg+TB5kPBAa5UuEAuw6dkmLL23FFZsK2ztvxWT20w2aW+sJePj6gMfVx8AEi9Qt7rdmNYvA0IQBGa0mwFAspG78v6K9Op0RSG/NB+vUl/hRfILBKYFIiQ9BJHZkdLKSP0q9dGsejNMazMNzao3g7eLNxpUbWAy0eDm4AY3LzdQFIUVD1dgVNNR8KziaZJzfy70b9gfAPAq5RVOvT2F5T2Xy23iaS9G2Y09SZEoEZbIV1LsuCjgF6hu99JSpMhWUkiK/DiCmCRhxbZS2u5VJCgCgHKVFIUZKSWZqGpbVelnBy1SalZSvzl7n/MeNSvVlJ6X3tztDtyNuQFzlbZ+URSFoLQgzO1oGBPw3Xjj+lHSi9LxNOkp9gzZY5Tjq+JwyGGwCJa01YfNYkNEitDzQE94uXjhyLAjJhcq656sQ7ta7dC5TmeTnldbHsQ/QEBMAE4NP6Wxl4d+Dl2LuoZhx4fh7Miz6NugrzGXqRR65PDKXivNcn4G42DRu/btL7dj/s352D90v8YelSvvr+Dn6z8jOicaP/j+gD+7/6n0KtjnTiG/EDOvzoSLnQtujbvFCBUjcPrtacy+Pht5pXkW61EpEZbgddprvEh+gRcpki/6qm8l60poXbM1env2xi8dfkHz6s3RpFoTuQ2eOcnn52Pf633Y8XIH7k64ywgVIxCcHoyVj1aiWFgs51FRFuRIj1G2t7YH8NE4r3YEsZrujLLtXtJRzwQp9zMRKZK2e3FYHLBZbIlI+dDuRXuhylZSlGWkqApyTClMgbOts0biPConSmGmzHCf4dgduFupRyUuLw55pXkGqaTwRXw8TnyMZT2W6X0sZVyKvASCIDCg4QCjnUMRFEVh7+u9GOw1WK69i8Pi4O8ef+PrE19jzJkxJhUqQalBuB17G8e/Pm7R7UcURWHRnUVoWaOlTiOju9frjl6evTDk2BCcH3Xe5EIlJjeGGTn8iWLRIuUXv1/wNvOtRmb6yOxI/Hz9Z1x5fwU9PHrg9IjTWicwf244cB1wa9wtdN/fHT0P9GSEihGY2X4msnnZFmOmpygK0bnReBD/AI8TH+NFyguEZoRKzMZsLlrWaIk+nn2wsMtCtHVrCy8XL4uZkKMIJxsnqUfFf58/I1SMwPetvodQLMS0y9MAfDTTJ+YnKgwxLFupoHNSRKRI7rlEV0Jk/64KhWGOMrk0Uk8KJZa2e3HZEvHAE+peSVE1jUldm5Ys0bnR0gq2LHTgY99DfRUKlcDUQAAwyGQvU+SjnI84j47uHU3+WRKUFoQ3GW8UXkmnAx9NLVTWPVmHuo51Mcx7mNHPpQ934u7gXvw9nB91Xqf3ey6Hi5PDT2L4yeFmESq/3fwNrnau+LXjryY7J4NpsGiRUtZMD5QXKvml+fjr/l/Y9GwTalWuhTMjzmBo46EWfdXCkpBNpmeEiuEpa6ZnESyTvpGKSTHeZLzBg/gHeJDwAA8THiK1KBUECDSt1hTtarXDD74/oG2ttmharak0uKsiIZtM77/PH4++f6Q0AZxBN+hk+mmXp8Heyh4req1AbF6swgyMciKFrqSQQpXDEdSKFAVhjiRIEBQhafeSme5Ft3vRFQ6eiIcqNlUUrg+Q9LMrraSoeD9MKUzRyDQPSALmBjVS7FOTFSorH63EyeEnpT97nfYaNSrVQPVK1TU6jyqM7UcpFhQjICYAf3X/yyjHV8XeoL2oWakm+tTvo/DntFAZdWoUniQ9MXp+S2J+Io6HHcfa3mstutWcrqL4uvkqfX5qgqxQWXJvCfrU72OSfdjjxMc4+fYk9g3ZJ63eMnw6WO4r5wOyQiUxP1H6fZIise/1Piy4tQBFgiIs7rYYczrOsfgkV0uEFiqzr89mxJ0RoIUKbSw3JqWiUrxMeSkVJY8SH6GAXwBrtjXaurXF+Bbj0blOZ3Sq08kgk4IsBVqorHiwAtXsq5l7OZ8kU32nwopthWbVmoEv4iO5IFnh81lZJUUoFsKOo3xYh7YjiGW/T+KjSBGJJcZ5eqoYIHldqKuk1HGsU+7YmcWZKjf0KYUpaOLaROW6AcnFtGxetsJ2LxpaqNBX+EWkCBwWByEZIQYTFffi76FL3S5G86PcjLmJUlEphngNMcrxlcEX8XEk9AgmtZqkUhAM9hqMmFkxqFGphqRVkCKN9lhserYJ9lb2+L7V90Y5vqG4EX0DjxMf48qYK3p//tNCpVhYDIIgpM9hY0FRFObcmIOWNVpibIvywZMMFR+LFymARKj8N/g/6QvoVNgprHq8Ci9TXmJMszFY1WsV04eoJ96u3rj+7XUAEkMsl81lKioGhCAILPFfAkDyxno37q5BJs2JSTECUwMREBOAmzE38TjxMfhiPhysHdDRvSPmdZyHLnW7oK1bW5NP2jE1bg5u2Nx/MwCJ2dvJxonJUTEw9IYrNCMUFCjUc6pX7jbKKikiUqSfcb5sJUXmr/QYYjbBlkz3+lBJoS9a8YQ82LBtFK4P+OBJqaZbJUWTMbvRudEAJAMnVEG3nL3LfIehx4fiyLAjCEkPMUjSvFAsxNOkp/ij2x96H0sZ5yPOw9vF2+Qj/i9GXkQOLwcTWk5Qe9salWoAAP53+3+IyI4wSo5KAb8AuwJ3YVqbaXDgOhj02IaErqL41fYz2BhhLkcSkptamIpeB3thXZ91RhtRfCLsBJ4mPcWtcbcsui2ZQXcqhEgBJJu85IJkfHf+OwTEBKCuY108/O4hOtXpZO6lfVJQFIVRp0Yhn5/PBD4aievR1/HF4S+wqtcqnTwqsbmxCIgJQEBMAG7H3kYOLweVrCvBv54/VvZaia51u6J59eYW3WJgTCiKwvQr05FamMoEPhqJc+/OAQAOhhxED48ecuJDUSXFmm0NISk0uCdF+rMPnhQOiwOBWABrtrXEkyLT7iVbSSFAyCXQ5/MVG+dVeVJIikRqUapGnpSonCgA0Pi56Obghio2VdDzQE/k8/MNMpL/ddprFAuLjTZlSkyKcSnyklkqB3tf70X7Wu3h7eqt8X3a126PNY/XGCXwcU/QHpQIS/BT+58MdkxjcCnyEl6kvMDNsTcN3kVR1bYqPKt4Gi3wsVRUit9u/YaBjQaih0cPgx6bwXKoENKzVFSK5Q+Ww2uLF4JSg9DJvRMSCxIRmxdr7qV9chAEgV2DdiGzOBM9DvSQhpkxGI6+9ftiUddFmH9zPlY/Wq329rm8XJx+exo/XPoBDTY1gOcmT0y/PB3JBcn4se2PePDdA+TMy8HF0Rcxu8NstK7Z+rMVKIDkOXx25FnYcGzQfX93ROdEm3tJZmHr1q3w8fFB27ZtDX5sF3sXECCwP3g/Zl2bJVflUFhJ+dDuRXz4n0K0nO4lC0mRAAVYsa0gFAvLtXvxhB+nexUJimBvbS+3KaNzUmQpFZWiSFCkdLpXZnEmRKRII5ESnRMNJxsnjSdN0q1ftN/FEK/nhwkPYcOxQZua6sMjdeFJ0hNklmSavNUrtTAV16KuaVRFkYX2qFyIuIDRp0dDKBYaZD1iUoxNzzZhRJMRFt3hQVEU/rj7B7rW7WqUTT4d+Ni7fm8MPTYU16KuGfT4m59tRmJ+Itb0XmPQ4zJYFhYtUiiKwrnwc2iyrQkW312MqW2mImpmFO5/dx/jW4zH+HPjcSjkkLmX+clBBz4yQsU40B4VZUKFoiiEpIdg+YPl6PhfR7isccHXJ7/Grdhb6Fu/L86OPIvsedl4PPEx/uz+JzrX6WyWkDJLhvaofM5CZcaMGXj79i1evHhh8GPH5MbAo4oHdg7cic3PN8sJlUK+/IhfWizQ7V7K2jJ0Mc7T0Pk9HBYHQlKo0DhPV1KKBcVyrV4URUmM82Wme9FBjsrSyrUJcozOjVbpR1GEo40jvm/5PQgQmB8wHwKxQKv7l+VBwgO0q9XOaFlGFyIuoJp9NbSv3d4ox1fGwZCDsGJZYVTTUVrfV1aorH+63iDruRR5CbF5sZjVfpZBjmcszoafxeu011jqv9RoXlRZoTL85HBkl2Qb5LhZJVlY9mAZpraZisYujQ1yTAbLxGIvt0ZmR+Knqz/hRvQN9GvQD5fHXJZ7MtJm+vVP12NU01Gf9ZVjY0ALlb6H+uJV6iuj9ZR+rshO/XqU+AglwhLci7uHi5EXcSnyEhILElHJuhL61O+DnQN3ordnb9R1qmvmVVcsaKEy7Pgw5JXmmXs5nxSxebHwcPKQhpS+z34v/VkBvwB2VnbgsDigKAoCsUBSSSEllRQWwYKYEpc/qJp9EglS7u+y7V9iSgwKFKxYMpWUMp4UupJSLCyGndVHA3+xsBhiSlyu3YveUClr99JWpKjzoyjifc57+Lj6YN/QfXpN3qMoCg8THho1VPZ8xHkMajTIpN4AiqKw7/U+fOn9pc6DQAZ7Dcad8XcUBmnqwoZnG9DRvSPa1WpnkOMZA5IisfjuYvT06Ilu9boZ9Vy0UHmR8kKp4NeWP+/+CQqU1OfJ8OlicTv7YkEx/r7/N9Y9WYfalWvjwqgLGNhoYDmlT0/9KuQXgsPiSCfIMBgOH1cfRP4YCVsrW1AUhSJBkUWbACsaqUWpqO1QG0FpQXBd44oSYQk8nDzwZeMvMbDRQHSt25V5TuuJm4Mbnkx8AoIgwBfxkVGcwYwnNgCxubHScEHZjW9gaiDySvOkrVMiUgQKlDTMkSAIsFlsCMnyrTXqKimqKFdJYVmhmF+scLpXibAE9lYfR5Xml+YDQLlKSg4vBwDgbKu8kkKA0Gg0cHRONDrW7qjlbyUJ0mxVsxV83XwhFAsx/fJ0TPOdpvWGOjI7EpklmUbzo4RnhSMyOxJre681yvGV8Tz5Od5lvcOGfhv0Og7tbQ1MDcT2F9uxbcA2narTr9Ne427cXRz/+rhe6zE2J8NOIjQjFDu/32mS83E5XHSu0xkURWH+zfno6dFT5xyViKwI7Hi1A393/5vxzH4GWEy7F0VROBl2Eo23NsaGZxuwsMtChE0PwyCvQUpLkSyCBUcbR2QWZ6LZ9mZM65cRoD/Yl95bik57OjGtX3ryLvMdlj9YDt9dvqj1Ty38cOUH5JfmY3b72XCwdsDUNlOx8YuN6F2/NyNQDAT9/jHnxhx02tMJMbkxZl5RxScmN6ZcaGZcXhw67O6A8xHn4WAtuZjBF/MBQBrmSIAAS8nHjtoRxKravciPIoU2ztMXrkiKBF/M/1hJERTL5Snk8z+IlLKVFJ6kkqLMR5JSmILqlaqrreKXikqRVJCk9QAHkiLxJv2NdPxwqagUbzLeoNfBXniV8kqrYz1MeAgWwUJHd+2FkiacDz8PW44tenn2MsrxlbHv9T7UrlwbPT16GuR4KYUp2B+8H2POjNHJo7Lp2Sa4V3a36PBGMSnGkntL0K9BP6M9H5QhIkUIzwrHkGNDcD3quk7HmHdzHmo51MKsDpbdTsdgGCxCpLzLfIfeB3tjxKkRaF2zNd5Of4vF/os1HpnqbOeMznU6Mx4VIzKiyQhkFGeg54GejFDRAoqi8CrlFRbeWgjvrd7w2eaD5Q+Ww7OKJw59eQiZczNx/7v7+LvH35jdYTZ+u/WbRmZ6Bu35vcvvsOHYwH+fPyNU9CCvNA+5pbnwqCKfkVLPqR42f7EZQWlByOfng6IolIpKAQA2HBtp9YTFMpBIKTOCWM44T3tS2Fy5NQBAiahErt1LWSUluyRbeiFMEZqmzcfmxoICpXW7V2xuLIqFxdLJXg5cB1z/9jq8nL20FioPEx+iefXm5YYDGIoLkRfQp34fk4455wl5OBp6FOOajzNY1snARgNxasQpnA8/r7VQySjOwOE3h/Fjux8tuv38WOgxhGeFY6n/UpOf24pthZPDT6JP/T46CZW7cXdxIeICVvRcwWTifSaYVaQU8gsxL2Aemu9ojri8OFwecxnnR50v9+GnDrr1izHTGw868JERKuohKRIPEx5i9rXZqLexHnz/9cWOVzvQoXYHXBh1AZlzM3Fi+Al80/wb6VVadWZ6Bv2RNdMzQkV3YnMlUxXLVlIASeBjm5ptkFGcgVnXZqFEUAIAsOXYStu9lLV1aTuCWJEnRbbdq1RUChuODXhCnmQNMsZ5uXYvJZWUHF4OqtpWVeqxSCnSTKTQGSnaGueD04MBQG78MD31ixYq9L+FOh7EP0CXOl20Or+mpBel40niE5NP9TofcR75/HyMbzneoMelzfTnw89j2qVpGt9vx8sdYBNsTGo9yaDrMSRiUoy/7v+FAQ0HoG0tw0/90wQ68JEWKi9TXmp0P5IiMefGHLSr1U6nIQkMFROzyH2KonA87Djm3JiDXF4uFndbjF87/qqXMpZNpp90YRK61+suHd/IYBhoodJ9f3eserQKa/uYtv/YkqEoCi9TXuJY6DGceHsCSQVJcHNww5eNv8Qw72HoWrer2qtrsmb6lQ9XYkLLCUx6uoGhhYr/Pn8cDz2OBV0WmHtJFQ56060obR4AXO1d0bJ6S1yLuoaxzSUp0DYcG4hIEQCATUiuehMEIVcN0We6l5j8aJwvEZZIKikfporxRB9EioxxXnascAG/AICCSgovW+XI4JTCFPjW9FW5ZkDiR7Hh2KCmQ021t5UlJD0E1eyrScMHaWihsjtwt0bDNFILUxGdG200kXL5/WUAkiqEKTkQfAB+tf3QyLmRwY892GswTo84rZHfCJBMsNv+cjvGtxiv8Zhpc3Ai7AQisiNw8MuDZl0HLVQ2PtuocQbQ4ZDDCEwNxMPvHhptGhmD5WFykRKWEYafrv6EO3F38GXjL7G+73qDTS2ihcr0ttMZgWIkvF298WTiE+njS4eofY5QFIU3GW9wPPQ4joUdQ0xuDKrZV8Nwn+EY1XQUOrp31HrSDS1UpvlOQzX7ahCTYoO1MjBIcHNww/PJz6VXzpmhG9oRkRWBKjZVlE69KuAXoGXNltg+YLt06heXzZW2eykbQ6y23UtFJYUEWa6SQo8gLltJUWScJ0DIjSUGJCJFmWke+NDu1UizIEfPKp5avxeEpIco3cA52jhiTsc5AIDLkZdRo1INpWb6hwkPAcBopvlLkZfQoXYHk5qY04vScSP6BjZ/sdlo5xjkNQgAIBALsOnZJsxqP0upmf5E2AmkFaVhZvuZRluPvtBVlC8afGG2KoosXA5XGmb8NOkp8kvzlZrpS4Ql+P327/jK+ysmwPszw2TtXgX8Asy5Pgctd7ZEUkESrn1zDWdGnjH4WFUWwYKvmy8oisKc63OY1i8j4FHFA9Zsa7xIfoGu+7p+dq1fEVkRWHpvKZpsa4IWO1pg+8vt6FGvB26OvYnkX5Kxpf8WdK7TWedRnARBwM3BDSJShCHHhjCtX0bAycYJBEHgYsRFeG/1/ixzVHQlIjsCjV0aKxUVBfwCVLauDBuOjbRKseHZBunPWQRLr0leihCTYlAUBSu2lbxxXsaToso478B1KPd6zS7JVjoyVUSKkF6UbtTxw8HpwWheTfVVZoqisPrxapUelYcJD1G/Sn2tKzmawBfxERATgAENBxj82Ko4GnoULIKFEU1GGP1cL1Ne4vdbvysNfKQoChuebUDf+n21Srw3NafensK7rHdY3G2xuZdSjs3PN2PIsSFKAx/XP1mP9KJ0rOq1ysQrYzA3RhcpFEXhcMhhNN7SGDte7cBS/6V488MbncfPaXxeUMgtzWU8KkbE3toe77PffxaBjwn5CVj1cBVa72yNxlsbY+3jtfB188Wl0ZeQ9msa/h38L3p69jSoYZJNsNG6ZmvGo2JE2ri1AYfF+WwDH3UhIjsCXi5eSn8um95O56EcD5OMZKUrr4oEjjrhQo8ZppGtpFCgQFEfKili+TBHabuXleKclPzS/HJ+FOCjJ0UR6UXpoEAZLcixkF+ImNwYtKjRQuXtCILAhVEXVJrpHyQ8MFoV5UHCAxQJijCgkWlFysGQgxjYaKDBcjdU0dG9o8pk+keJjxCYGojZHWYbfS26QlIk/rr/F/rW72vysE1N2DN4j9Jk+rSiNKx8tBI/tvtR6wl5DBUfo4qUN+lv4L/fH9+e/Rad6nTCuxnvsKDLApO0VjBmeuPzqSfTFwmKsO/1PvTY3wN1N9TFn/f+RIOqDXB6xGmk/5qOA18ewIBGA/QKWVMFY6Y3PkwyvXZQFIWIrAh4OSsXKbLp7XSr1ZJuSwAAbzPfgoBy87zKc0O5JwWQbMSsWFbSdi+6oiJt9+Ioaffi5yuc4KWq3UvTIEcxKUZsbqzWlZTQjFAA0Khfv6yZPjA1UPqzAn4BgtODjedHibyMWg61pGOSTUFYRhgCUwOlfidTIJtMP/r0aKm/CgA2PN2Axi6N0ad+H5OtR1tOvz2NsMwwi6yiAPLJ9EOPDZWb+rX4zmJYsazwv67/M+MKGcyFUUXKmXdnJL2j397AyeEnUcexjjFPV46yQuVO7B2Tnv9zQFaoDD85XKW5tSIgJsW4GXMT486OQ/W11fH9+e9BEAT2DdmH9F/TcWL4CQzzHmayUZtlhcq9uHsmOe/nhKxQmXppqrmXY9GkF6cjn5+Pxi6NFf6coihJu9eHSgrdajW62WgAQFx+nCQvRVElRY+cFAAfPSkfKikCsUDOOE8PZikWlKmk8BVXUrJL9BcpSQVJEJJCra8AB6cHg02w4e2iWfsQLVR6e/aWq/48SXwCkiKNVkm5/P4yBjQcYFJf4sGQg6hiUwX9G/Y32TmBj0LFs4qndPhDXF4czoafxcx2M3Vu7zU2JEVi6f2l6O3ZG37ufuZejlJooTKiyQjpwJjQjFDsDtqNP7r9YdEDCTSBoigsuLlA44l8DBKMapz/rfNvWNBlgdGuNGsCLVR83XwZw5WRoIVKqai0wprow7PCcSD4AA6GHERSQRIaVm2I3zv/jrEtxppcXJeFFiqd63RG17pdzbqWTxVaqFR0kW1sIrIiAEBpJaVIUAQKVDmRwiEkHzXd6nZDZHYkSoQl5R5rfaZ7AR8qKWxJJcWabV2+kmJlC4qiJJUUa3njfNlKCkVRKtu9UgpTwGFx1JrF6THXisY1qyIkPQSNXRpr1XXgaOOIE8NPAAByeblILEjEw4SHcLVzNcoErMjsSLzPeW/SKY9iUozDbw5jVNNRZhl2MdhrMAZ7DQYAPE58jFNhp1CZWxnjWowz+Vo05Vz4OYRmhGL7gO3mXopauBwuDnx5AIDkvWPyxcnwrOKJ6W2nm3ll+nMw5CBWPlqJPvX7aB2z8TljVJFiKRNzWARL+iR/lvQMMbkx0it7DIbBx9UHgOSN5bebv2Fhl4UmnfaiC9kl2Tgedhz7g/fjefJzONk4YVSTURjfcjza12pvUYKLIAhpO8Hx0ONIyE/A3E5zzbyqTwv6qnhGcQYmnJuALf23aL25/NSJyI4Am2ArrQxIx/l+qEzQVQz6tVTJqhIIENJcE1n0NdOTFAk2wZa2ffFFfIlIkRlBLBALIKbE5dq9alaSN5UX8AsgpsRKPQ8phSmoWamm2qvnsXmxIECgrqN2A2JC0kPU+lFU8dvN33Di7Ql4Onmic53ORnkvuxx5GVw212Bp75pwN+4ukgqSTNrqpYiM4gz0PtgbArEAs9rNkhO9lgRJkVh6byl6ePQwWjXNWEy7NA1Pk57if13/Z9YL3YYgrzQPcwPmYlTTUeju0d3cy6lQWGZ90ogceXME3579lvGoGImUwhQcCz1msYGPYlKMy5GX8dWJr1BzXU3MvDoT1eyr4eTwk0ibk4btA7ejQ+0OFiVQyvIu6x3m3ZzHeFSMhIgUISonigl8VEB4Vjg8q3gq3TTQIkW2ksIm2FJBQoGSBjpqK1I08aTQ47ql7V4cmeleVrYoFhYDgFrjfDYvGwBUtntpmjbv5uCm1QU7kiIl44fVTPZSxereq9HIuREC0wJRz6mezsdRxeX3l+Ffz9+kG/SDIQfRoGoDdKjdwWTnVEQ1+2r4ttm3EJEivMt+p1UyvSm5EHEBwenBFutFUYaYFONlyktUta2KNY/WaJ1Mb2n8cecPlAhLsLY3ky2nLZ+dSFnfbz1jpjcinlU8LTKZPjE/EX/e/RMeGz0w8OhAROdEY3Xv1UiZk4KLoy/ia5+vLabyp47F3RYzZnojwiTTK+dt5lulfhTgY3q7rEixtZJUMGgIgoAV26q8KFFzXUCTdi/aK8Am2BBTYmm7lzXbGiyChRJhCQDIbaxlPTQ02SUSkaK03UvDtPnYvFitWzvi8+JRKCjUOOROEY42jvi7+98AgN2Bu5WOJ9aVQn4h7sffN2mAY4mwBKffncbY5mPNfhGJpEjcjb+LTu6dEBAdgDFnxlicUKEoCkvvLYV/Pf8K1ya89/VehGWG4cKoC9Jk+ooqVILTgrH1xVYs7raYye/Tgc9OpJQ10x8LPWbuJX1y0Mn0tFApEhSZZR0iUoQLERcw8MhA1NtYD2ufrEW/Bv3wYvILBE0NwuwOsytkontZM/2/r/4195I+OWSFSo/9PaS+hs+dkPQQlZOcyqa384Q82HBspCKFAiWd7lV2o6ltmGO5n1OUtP2KPhbd7iWbkQLIV1IUiZQcXg4AqGz30likOGknUkLSQwBAr3YvAHid9hp2HDv4uPrITfwyBAExARCSQpPmo5wLP4ciQRG+bf6tyc6pjGtR1xCZHYnVvVfj1IhTeJv5VvqcsRQuRl5EUFpQhauiFAmKsOjOIoxpNgad6nTCyeEn0ad+HzxOfGzupWkNRVGYcWUGGrs0xqz2s8y9nAqJyRPnLQFaqDhyHVWO0mTQHVqonA0/K9f/bQri8uLwX+B/2PN6D1IKU+Dr5osdA3ZgVNNRcOA6mHQtxoIWKi52LibPKPhcoIXKo4RHJpvmZslkFmcitShV5eZZUbuXrEgBlIc56tvuJabE0koKfSy6kiKbkQJA7j2pUFBY7n3BkO1evTx6qb2dLCHpIXC2dS7nk9GWh4kP4efuh2vfXpPmN2UUZxjkwszlyMvwdvE2qQH4QPABdHLvZBE+sQ1PN8DXzRd+tf1AEAT6N+wPDouDHF4OHKwdlCbTmwqKovDnvT/RtW5X+NfzN+tatGX1o9XI5eVieY/lACTe5jMjz0hf24Z6DpuCgyEH8SjxEW6Pu23250RF5bOrpNCwCBbW91uPVjVboVRUipsxN829pE8Ob1dv/N7ldxAEgUuRl4za+iUUC3Hm3Rn0O9QPnhs9sfHZRgzxGoLAKYF4MfkFJreZ/MkIFBqCIDCz/Uy4ObghozgD/wX+Z+4lfXK4ObhheJPhACQbk885RyU4PRiA6uyO/FJJu5eDteS1RlcxaJEiDWRUoEeKBEVY8WCF8gWoGbxGUmS5agw9gpgeP1y23UsoFqJUVKqw3cuabS1XcaERiAXIKslCjUo1VK6HJ+QhtShV6418aGYomv6/vfMOa+psw/h9kkBYCoo4cOIG9957Vq27WrWu2qqtWket1fazdmvdo1irratuq3XvLSKKA0RkyRLZe2af8/0RTwwhO+ckAc/Pi6sVknNeGeG93+e5n7t6S4tamiiKQmBSIHrU7aESKAeeHUCz35tZ3PpFUiQuvLxg1SpKamEqrsZdtYspWhGZEbgadxULuyxUfY0EPAFIisSQA0N0JtNbkwsxF/Ak9Um5q6IkFyRjfeB6LO66GPU93g6bEPAEIAgCN+JvwGeLj85kenuCM8szwzsrUtTZ+XgnhhwYwnlUWKJEVoK55+ayEvgYmxOLFddWoO6muhh3bBzyJfn4e+TfSP0yFduHb0e7Wu0YvZ+9cjz8OD45+wnnUWGJQkkhtgdvf6cDH5+lP4OLg4veYMICSQHcHN1UBna6kqK+aaON85rkinOxKWiTzmsbrKSQirftXpqVFB3tXoXSQgBvRRVNjigHns6eWoVCRnEGABisdCTmJwKAycb18IxwtPBqYdJzNHmZ8xJZJVmlcjHeb/q+3mR6Y3mS+gRpRWlW9aMcfn4YAp4AH/h9YLV76uL3h7+jhmsNTGgxodT7eQQPK3uv1JlMby3oKkqPuj3Qr0H52hyvurUKLg4uWN5zudaP96jbA/19+mtNprc3OLM8M3AiBcD8zvM5Mz2LuDi44MrUK4wl0ytIBc5GncWQA0PQeFtj/PHoD3zg9wFC54bi/qz7mNlupt2OhGSLzzt9zpnpWaSSsNI7n0wfmh6KVtVbqQSINjT9HZrGeZIiVQJC0wjfwL2B3swNY4zztEihBY0j31G1BkCtkvKm3atQ8kakaGn30uVHSStKAwCDlRQ6tM0UT4pUIUVUdhRaVLdMpND9++pTsDST6c0VKuejz8Nd6I7udbtbtEZT+OfZP3i/6fuo4lzFavfURr44H/tC92F2h9laJ9xpJtPbQqhcenkJwSnBWNVnlc0HDJhCeEY49oTswXd9viuTW0SjmUxvr0KFM8szBydSUNZMzwkV5lFPpjdXqGSXZGPdvXVovK0xRh4ZiTxxHvaO2ouUL1Owbdg2i6bhlHc0zfTr7q2z9ZIqHOpm+n77+iExL9HWS7Iqz9KfGfwZy5fklxIpdKuVunEe0GGSJ6C3ncdQJUVOycuIFKFAWNo4LzOukpItytY52ctokZIXDwFPgDqV6+h9nDox2TGQk3KLKyn3X9+Hn5cfPJw8Sr1fXah8f/t7s659PuY8hjQeYrUe+xeZLxCSFmIXhvl9ofsgUUgwt+NcnY+hhcq56HO4nXjbiqt7W0XpVqcbBjY0zQtla5ZfX44GHg30fm6B0kJlxfUVUJAKK63QOGizfDPPZpxZngHeSeO8NmihAiizADiYhxYqn5//HHJSbvTznqY+xe8Pf8eh54dAUiQ+bPkhjo4/is61O7O42vIHLVQIEKjhVsPWy6mQ0EJl1c1Vdh9W6u/vD39/fygUlv8SlylkeJH5Ap+0+0Tv47RVUtRFinolRRNDwYjGVFJoSrV7qXlSiqXFIECo/k5XUrRN99Jlmk8rSgMBwuDXPz43HvXc6+mtPGkSnhkOABZXUu6/vo/udbRXOmihQn++1StQhkgvSkdwSjDmd55v0fpM4XDYYbgL3fFe4/esdk9tkBQJ/2B/jPMdZ3BowshmI/Hyi5cqgWrK59gSrsRewYPkB7g05VK5qqLcSriFc9HncHT8UaOCG2mhki/JB5/Ht9rn1xhos/z1adc5szwD2MdX1U6ghcpP/X4CALzKf2XjFVU8/Lz8cHP6TdSqVAsZxRk6KypShRRHnh9Bj9090H5ne1yNu4rven+H14tfY9/ofZxA0QFBEPih3w+qE+l7r+7ZeEUVD+9K3tg1chdcHFzwPOO53eaozJs3Dy9evEBwcLDF14rKjoJUITVYSckV56KK09uWHNoPoqqkUJROT4oujoQdAUVRhispirKVFEe+IyRySal2L1dHV9UGjp5GVqbdqyRbr0jxcvVSGdJ1kZCfYPL44fCMcNRwrYFqLtVMep46BZIChKWHlfKjaOLu5I5KwkqIzYlF6z9aG936dfHlRRAgrCYYKIrCoeeHMM53nM1zrK7GXkV0drTRAo0WKKvvrsbEfyey3vpFV1G61O6CwY0Gs3ovJqEoCsuuLkMn704meY6EAiGqu1ZHZnEmOu3qZBc5Kupm+f4+/W29nAoBJ1I04BE8EASB+0n30XhrY671iwXoDcLkE5PLBD6mFKbg+1vfo/7m+ph0YhKEfCFOTDiBuIVxWNFrhd2fXtsTN+NvoueenpxHhSUoisLcc3PficDHkLQQAPonewFArii3lG9AZZwnlRs09WqHpujg6fh19MWlL7Dw0kKDlRQFpVCJH5JU3of2pAj5yg1usay41MQuc9u9DLV6AcpKiskiJTPc4irKw+SHoEChWx3dIoWmmks1uDm6Ge1RORd9Dl3qdLHa63BwSjDicuMwudVkq9xPH78H/462NduiR90eJj2vRfUWOB15mvXAx+vx13H/9f1y50U5/uI4glOCsXbQWrPWXVlYGbUr1baLwEfOLM88nEjRQZc6XfBR6484jwqLbHtvmyrw8WLMRUw6MQn1N9fH+sD1GNN8DJ5/9hw3pt/AWN+xBk8tOcrSt0FfzkzPIgRB4NgHx96JZPqHyQ/RpGoTnYZWmhxRTqlKiqZxnu4fN6WSsm7QOmx7uE2VXaILBaVQbXJIKEWKkC9UCSVA2e5VKiNFl3G+RL9xvoar4XZKc9LmwzMtn+wVmBSIKk5V0Kya4QwwU8z0MoUMV2KvWHX08KGwQ6jpVtPmWR9xuXE4H30e8zvNN3kjTXtU2BYqP935CR29O2Jo46GsXJ8NpAopVlxfgRFNR5j9NRYKhKrAR1sKFc4szw6cSNEBZ6Znn6aeTbG853JEZkVi2KFhePD6AdYPWo/kJcnYPny7xSeK7zqaZnpOqDCPupm+IguVB8kP0KVOF4OPyxXnlqpAiOQiOPGVnhQBT/BWSGjzzevY/E1vOx07hu9QVT10oe5zo6sujnxHSBSSUjkpmpUUZ4FzqUMQOSlHviRfb7uXoUpKgaQAOaIckyopErkEMdkxjJjmu9bpanSPvrpQef/w+xDJRDqvWygtxLAmwyxan7EoSAWOhh/Fhy0+NMnXwwb+D/1RxbmK2RUddaHy273fGF4dcDfxLu4k3sHK3ivLVRVlx6MdSMhLwJoBayy6jrpQGXtsrGpMuLXgzPLswYkUPagLlTUBa2we0FRRKJQUYkvQFjTZ1gSLLy9Gm5ptUNW5KtYPXo+FXRcaPK3lMB51oXI17qpJAws4jIMWKl6uXqrJTxUJsVyMp6lP0bV2V4OPzRXllqmk0MZ5B56Dqu1LG/qqK3M6ztHZfkWjIBVlxhtra/dSH09eICkoU0XJFeUCgM5KSnpxuvHjh02opERlR0FBKSw6nCEpEveT7hvV6qUOLVSOf3Bc5d/R5NLLS6juWh1ta7Y1e32mcCvhFtKK0jCp1SSr3E8XxdJi7A7ZjVntZun83BjDyGYjcW3aNSzuupjB1Sn55e4vaFW9lVWzaywlX5yPH2//iJltZzJyIEkLlTMfnrF6Ij1tlv992O+cWZ5huB4aA9BCJU+cBwe+A2QKGfdNaCavC15j64Ot2Pl4J4qkRZjYciKOf3AcHbw7KNswHF1BUZTK3MrBDLRQkZNyCHgCZJVkWWTM5SiLdyVvBH8aDB7Bg5yUI70ovcKU/EPSQiAjZQYrKXJSjkJpYSlPikgmUrV7OfIdISflOsWIoRNgNwc35Ihyyj4PBChQpQS4glK2ldEiRb2Sotnupc2PAsAiT0p8nukZKeEZbyZ7WVBJicyKRL4k36wME3cnd/So1wMKUoEll5dgWptp6ODdQfXxSy8vYXCjwVabonQo7BAaVWmETt6drHI/XRwMO4gCSQE+7/S5xdfqXb83AOXXetvDbdj23jaL9xPBycG4HHsZR8YdsZsJV8bw273fUCIrwQ99f2DsmkKBEAMaDgBFUfjx9o/oUqcL6+1vtFl+YouJnFmeBcrPd7QN4RE8VHWuilxRLtrvbM+1fpnIk9QnmHJyCny2+GDn452Y3WE24hfG4+DYg6pfgrQoWR+4Hl3/7sp4Mv27DkEQcOA7IL0oHb7+vlzrFwvQG4Tl15aj29/dKkzg44PXDyDkCw2a5vPEeQCgtZIiU8hUIkUXhkSKruletOhRkApVGxktUoQCDU+KFuO8ZiWFFkLa2r2KpEUokhYZVUlxcXAx6UQ3PDMc3pW8LQosDEwKBI/gWTT9UCQX4UHyg1IelbSiNDxNe4qhjazjdxDLxTgRcQKTW022afsSRVH4/eHveL/p+2jg0YCx6ybkJWD3092MBD7+cvcXNPVsivF+4xlaHfu8LniNTUGbsKTbElYOcxSUAo9SH1kl8PG7m9+hWFqMDYM3sHqfdxVOpJiAu5M7Onl34jwqRkBSJM5GnUW/ff3QYWcHBCYFYv2g9UhanIS1g9airntdrc8b3nQ4Y8n0HGWp7lodn3X8jPOosMiSbksqVDJ9UHIQ2tdqbzC/gN7ca5vuRVdS9G3IDJnpDYkUGSkD/RB6ihg9griUcV6tSlsoLSyTkZJdoqykaGv3Si9KB2BckGMDjwYmbbCZMM3fT7qPVtVblRFepuDm6FbGTH8l9goIEFYbbXsx5iLyJfmY1NK2rV4BrwIQlhGGeZ3mMXrd4U2HM5JMH5YehtNRp7Gi5wqb+3ZMYdXNVXBzdMOyHstYub6AJ7BKMj1tlv++7/cVpnJub3AixQQ4M71hSmQl2PFoB3z9fTHyyEiI5WIc/+A4YhbEYGHXhQZ/eTKRTM+hG85Mzz6ayfTlXagEvQ5Cl9pGmObfeDlK5aTI3+akGGz3MmHilzq0eKGrJ8Bbfwqf4Cs9KW8yNjSN8wWSgjLtXiqx5VS2omFK2ryp44efZzy3fLLX60CT/Sja0Jz6dTxc2ZZrrdHDh58fRtuabeHr5WuV++li+6PtaOrZFAMaDmD82rSZ/kzUGXxyVn9Iqi5+DfgV9d3rY0qrKQyvjj3C0sOwN3Qvvuv9XZkDAiZRT6YffWQ0gl4HMXp9iqIw/+J8zizPMpxIMRF1ofLx6Y+RmJdo6yXZBelF6Vh5YyXqbaqHeRfmoXWN1gj8OBD3Z93HeL/xJo0QVhcqP9xmrl+VQ4m6UPnpzk9IKUyx9ZIqHOpCZW/IXlsvx2wS8xKRkJeAPg36GHxsrlgpUmgvB0VRpY3z/DfGeV1axIBG0ZWTQo8bBpSChQABmUIGoUAIgiDKtHuV8aRoGufFuXAWOGsNDzRWpCTkJZjUHiSSiRCbE2uRgThPnIfIrEh0rWN4wIEx0EJlSdclCEwKtFqrV4GkAGejz2JyS9tmo6QXpePEixOY22Eua16Pkc1G4sSEE5jVbpbJz43KisLR50exvOfycuWTXX59OXw8fDCn4xzW70ULlW97fYs2Ndoweu1DYYcQ8CqAEV8Rh24447wZ0ELlk/afoL5HfVsvx6bE58ZjfeB67A7ZDT7BxyftP8EXXb5AwyoNLbqun5cfAj4OQO1KXAmVDWihMqvdLHhX8gZJkeXKdFke8K7kjaBPguDh5AEA5XLoxq2EWyBAqAy/+lBVUt60e9HZKM4OzpCRSk9KkbRIp9jQFeZIo6vdy4nvBLFCDEAZ4kiLIUe+IyiKKjWCuExOirQQjR0bl/l36PKFpBWlwYHnoLXKolonRSExLxH1Wxv/uyEyKxIUKIsqKcHJwQBg1KhoY3F3cseQxkPw3a3v4OXihccpj0uZ6dngVOQpiOViTGw5kdX7GOLvp39DwBNgRtsZrN7n/WbvA1AOntjxaAfmdJhj1OvEmntrUNOtJuvrY5Kb8TdxIeYCjo0/ZrB9lCmEAiFW9lkJQNmelV6cbnHbYqGkEF9d/QrjfMexUmXjeAu3KzETHsFD97rdQVEUVt1c9c61foWlh2HKySlosq0Jjr04hm97fYukxUnYPHSzxQKFpnHVxnB2cMaz9Gdlkuk5LIcgCNT3qA8FqcCH/37ItX6xQFXnquARPFyNvQq/7X7lLkflVuIt1YhwQ+SKcyHgCVQiQCRX5m2oe1JUxnktesOgcV6XuFET18EpwRAQglL3IylSNYK4TE6KpKwnJU+cp1OEpBeno4ZbDb1rzZfko1BaiHru9fT+e9QJz3wz2cuCSsqD5AdwF7qjqWdTs6+hjUsvL6GyY2X8F/Wf0cn0lnD4+WH0qtfLpM8f0yhIBf58/Cc+bPmhRYMMTOFp6lMsubzEqMDHhLwEHHh2AF91/0olwO0diqLw9bWv0bl2Z5uZ/DcFbcLIwyMtDnz85e4vyBXnYv1gLlmebTiRYiEUKCQVJL0zHpWAVwEYcWgEWu9ojYBXAdg8dDMSFyXif73/x9qLuQPPAeEZ4ZxQYQkewUPzas05jwqLtKjeAgSIchf4eDP+JvrW72vUY+m0eXoDL5YrqxvGGufNhcd7+2ssMjsSckoOiVyiGj9MrwHQkZPiWLbdS18lxVCrF90CbEqVPTwjHHUr17WoR/9h8kN0qt2J8YropZeXMLjxYJyaeMqoZHpLyCjOwNXYq2aHJjLFhZgLeJX/ipGxw8bSqXYno5Pp195bCw8nD8zuMNtq67OUExEnEJwSjN8G/maziW1/jvjT4mT66OxobLy/Ect7LGd04huHdjiRYiHvgpmeoiicjz6Pnrt7oteeXkjIS8D+0fvxcsFLzO88v9TJJBv4evni5vSbyCjO4IQKC3BmevYpj8n0CXkJSMxPRN8GfY16vGabFJ1cThvnHXgOkJNyUG/+aGLudC8ewVNtzDt7d4ZUIcW5mHNw5CnT5gHoTZzX5knRVUkxSqTkvxEp7iaIlMxwi6ooFEXhQfIDowYcmEKOKAcPkh9gaKOhZcz0bAiV4+HHQRCEzcfp/vHoD3T07oiO3h2tel/1ZHpdU79SClPw99O/saTrknKTJyYn5fj2xrcY2nio0a8nbKCeTG+uUFl8eTG8K3mzNpmMozScSGEATaFyJfaKrZfECHJSjoPPDqLNjjYYcXgESIrEmQ/P4NlnzzC1zVSr9terC5UxR8fobP3gMA9NoXI19qqtl1ThUBcqM07NsPvv4etx1432owDKzb16W5i2SoqclGtt9QJKV0S0oe3zRbz5Qw/maFy1MTyEHnic+hgKSqFag1AghFQhhZyUq9rRSIpEkbSobCXFgCelpqvhSooj3xE13GrofZw6lk72SsxPREZxBuMi5VrcNZAUiSGNhwB4a6bv16Af3BzdGL0XABx6fgiDGw22adhsXG4cLr28hM87Wq+Kog4tVGq41tA6VnhD4AY4C5ytWuWxlD1P9yA6Oxq/9v/V1ktRCZVxfuNMrlyeiz6HCzEXsHHIRjg7OLO0Qg51OOM8Q9BCpU2NNuhVr5etl2MRYrkYe57uwdrAtUjIS8B7jd/D78N+R696vWwarEULlVxxrk3XUVGhhUrn2p0xsOFAWy+nQkILFYlcYvffwxdeXkDXOl2NbuPUrEDQnhR147yMlOmspJgDAQIEQagqKRRFwcPZA8OaDENYRlgpoVQsLQbwNjiW/rvmRiVXnAsPoYfW+6UVpWFIoyF61/Qq/xXqVq5rdNtVsbQYCXkJFomUh8kPAcCiEEdtXHp5CS2rt0SdynVU73N3csfJiScBKD09CXkJaFWjlcX3SshLQGBSIA6MsW03wp+P/oS7k7tNjfsjm43EyGYjAQCPUh6hTY02cOA7ILM4Ezse78CX3b6Eu5O7zdZnCiKZCN/f/h6TWk5Cu1rtbL0cAEqhcnDsQQDKgSah6aEGq2YSuQSLLi3CwIYDMab5GGsskwNcJYVReAQPC7suhLODM0LTQnHk+RFbL8kkSmQl2BK0BY22NsL8i/PRtU5XhMwJwYUpF9C7fm+72FT5evmie93ukClkWH5tOdf6xTAEQWBE0xEgCALnos9hQyCXoss03pW84VPFB7miXIw9OtYuc1SkCimuxl7F8CbDjX6OZgWiRFYCAHB1cC1VSdFVQTKn3YsgCFUeCqAcR+zAc4CboxuEAiF2Pd4FABDyhar10O1eBZICACjb7qWjkkJRlNHtXqb4UaKzo0GBgp+Xn9HP0eTB6weo717fpOqNISiKwqWXl/SOHv7m+jfovbc3I61fR54fgbPAGaOaj7L4WuYilovx99O/MbPtTNbbmI0hR5SD/vv6q1q/tjzYAgJEucrl2PZwGzKKM/BTv59svRStbArahJ67exoMfNx4fyMS8xOxZegWu9gLvStwIoUl9oXuw5STU8qFR6VYWoz1gevRcEtDfHnlSwxuNBiR8yJxeNxhtKnJ7GxxpkguTMbekL1c4COLPEl9gqVXl3IeFZYQyUV4nvHcLgMf7ybeRaG0EMObGi9SaOM8DV2pcHFwUXlS9GHwF7+2iWAalRSSUo4glpJKUUS3gW19uBVF0iIAULV7FUoLAUC7cV6LJyVXnAsZKTNOpJjgR4nMigQANKvWzOjnaPIg+QGjo4cBZQtaalGqqtVLGz/3/5kxj8qhsEMY2WwkK21kxvLvi3+RLcrG3I5zbbYGdao6V8WBsQdwJuoMxh8fj20PtmFOhznwdPG09dKMIleUi9UBqzG7/Ww0qtrI1svRysIuCw0m078ueI2f7/6MBZ0XWHSYwGE6nEhhifWD19u9mb5QUog1AWvQYEsDrLi+Au83fR/RC6KxZ9QeNPFsYuvl6aWBRwMumZ5lVvZeyZnpWcSek+nPx5xH7Uq1TQpA09zcq1cupAqpqr+eAqXTX6IPrS1ihPJ59LVJSllJoSs3w5oMA6A8pf/+1veq9QDK1z+gdLuXWC6GWC7WWkmhgxwNVSte5b8ySaREZEWgpltNVZ6OqcgUMjxJfcK4H+Vq3FU4CZzQs15PnY9hykz/IvMFwjLCMKnlJHOXywjbg7djYMOBjI9xtgTao3I++jwKpYVY0HmBrZdkNGvvrYVUIVXllNgjmsn02oTKsqvL4ObohlV9Vtlghe82nEhhCU0z/aGwQ7Zekoo8cR5+uv0TGmxpgFW3VuEDvw/wcsFL7Bq5i7GME2ugnkzff39/5Ivzbb2kCoWmmX7Hox22XlKFQ1Oo0Kf9toSiKJyNPothTYYZ3dZAURSySrLg5eqlep+mSKGrGhSl3ZNiKMxRG5qVFAWlgCPfUSVSaE/KL/1/wZFwZfst7UlRVVLU2r3yxHkAoLWSklGcAQCo4apbpIjlYqQVpZmU8RGZFQnfar5GP16T5xnPIZKLWBEpvev3NpjDoS5UAl4FmHWvo8+PorKwMoY2tk6qvTZC0kJw//V9fNbxM5utQReDGw1GJWEluDm6QcAvH1bilMIUbHmwBYu7LjZYfbQ16kJFc2jMncQ7OPz8MNYMWFNufEAVifLx3V5OoYWKm6MbfDx8bL0c5IhysCVoC7Y82AKJQoJP23+KZT2WlTJFljdooXIo7JBFGQMc2qGFioeTh003EBUZWqhci7tm01YXmtD0ULzMeYnf3/vd6OcUy4ohlotLTWUqkZWAAAEngRNkCtlbkQJK54QvfejzpGi2e0nkEgj5QtUI4pltZ0Iil+DHOz+W9aSotXvlinIBQGslha7WVnetrnONSflJAEzLSInMitRbrTDEg+QH4BN8Rk3JErkEtxNu48d+Pxr1eHcnd9yZeUeVIp4jyjEqABRQitZjL45hdPPREAqEZq/ZUv4I/gPelbxVhnV7Yn/ofuSL8/Hss2eoU7kOCiQFcBY4W3XCpqn8eFv5s/ZV969svRSjEAqEODnhpOp1KkeUg8rCylhwcQE61+6M6W2n23iF7yZcJYVleAQPW9/bim51u0GmkOFWwi2rryGrJAvfXP8GDTY3wLrAdZjVbhbivojD1ve2lmuBQuPn5Yef+/8MgiBwLe4a1/rFMARBYEm3JWjg0QC5olzsC9ln6yVVOLwreWNam2kAlNOFmMhR8ff3h5+fHzp16mTS844+PwpPZ0/09+lv9HOySrIAAF4upSspLg4uIAiiVCWFpEidgkMf+gz3qkoKqSjV7qU+griDdwcAQFphGr6/9T0KxGWN87niNyJFRyXFgeeg9zDE1IwUBalAdHY0mldrbtTjtfEg+QFa12jNqNE7MCkQIrkIgxoOMvo5tED598W/aLy1sdGtX88zniMyKxIT/CaYtVYmyBfn40DYAcxuP1v1fWovyEk51t5bi3F+49CyektQFIURh0YYlUxvK6Kzo/HXk7/wTa9vylX1wYHvAIIgEJgUiAabG2DRpUV4lv4M297bxnhIKodxcJ91K/L3078xYP8Aq3lU0ovS8dWVr9BgcwNsfbAVn3X8DAmLErBhyAbUqlTLKmuwJmK5GLPOzOICH1nkaPhRzDg9g/OosESJrAQbgzYyEvg4b948vHjxAsHBwUY/hz7VHus71qRTWvrnTb2SUiwrVm2cS7V7MTR+GHjjYyFQqt3LgV9WpDgJnFTtZ6Hpofjh9g/YHbIbAkIAIf/t6T1dSdHmD8kozkB11+p6xdSr/FcAYPThT0JeAiQKiUXtXg+TH7LS6uXl4mXWaOFBDQehqWdToz0qx8KPwV3ojkGNjBdETPPPs38gkUvwaYdPbbYGXfz74l/E5sZieY/lAJRifmn3pUYl09uKlTdXwruSd7nKclGnQ60O6F63O/yD/TG44WDGR3tzGA8nUqzI7A6zrWKmTytKw+JLi+GzxQd/Pv4Ti7ouQsKiBPw26De9rQrlHSeBEy5NucQl07PInA5zODM9i7g4uODm9Js2S6Z/nPoYcblxmNjCtIwIupKi2e6lLlLUW7K0CRVtwXXq6G33gvZKikSubPcS8oUQyZS5LbPaz8KO4TtwO/F2mXuqKila2r1okaKPxLxE1HKrZXTbEj3Zy9xKSoGkABGZEYxP9roadxUDGw406/TYFDM9LYrH+I5RVWKsDUVR2B68HaObj4Z3JW+brEEXFEVhTcAaDGo4SFUJBEon09ubUHmc8hjHwo/hh74/GPQz2StCgRD1KteDgCfA7cTbZiXTczADJ1KsiKaZnmmhklWShWVXl6HhlobYE7IHy3osQ+KiRPzc/2ebJvhaE/Vkek6oMI+mmZ4TKsyjbqbvu7cvEvISrHbvPU/3oJZbLfRp0Mek5xkjUlTTvSjt073MgTbO09UNOSlXihOF0pMilosh4AnA5/Ehkosg4Akg4Akwp+McDG00FBKFBF9dfdsznyfOgyPfEc6CsmnSGSVGiBQTM1IisyLh6uBqdtttcHIwKFCMnvRml2Tjccpjk1q9NFEXKl9f+1rn456lP0N0drRNW73uJN5BRFaEXZ76X3p5CaHpoVjRc0WZj9FC5UzUGVyJvWKD1Wln+fXl8K3mi6ltptp6KWbzNPUp/nr6F1YPWI3BjQZj8eXFkJNyWy/rncS+mi/fAWihAih/wXzU+iOLr5krysWG+xuw5cEWAMCX3b7Ekm5LjE6KrmjQQuXjMx+rWjw4mIMWKgQIVeYEB7PQQmX5teVGG5AtpVhajANhB7Cg8wKT+/IzSzLh6uAKZ4e3m3t1kSIjZarARV2J8+Z6UgD97V70aa76egCgiWcTPMt4VmoznitSjlHWtpaM4gyDA1DMGT/cvFpzs8PhHiY/RGVhZYs8LZrciL8BCpTF7Ve0UFFQCgDKr5/mv/NY+DFUcaqCAQ0HWHQvS9j+aDuaeTZDvwb9bLYGXay5twZdandB3wZ9tX58ZLORiJofhQYeDQBo/xxbk2tx13At7hr+m/if3Xl7jIWiKHxx6Qv4evliYZeFWNB5AbJF2RDwBDb//L6LlM/vonIOLVToXIDUwlSzPCIFkgJsDtqMjfc3QqqQYkHnBfiqx1fvTNVEH75evgj8OBAEQSBXlAs5KS81HpXDMgiCwA/9flD9PTg5GJ1qm2bQ5tCPdyVv7B+zHwAQkx0DHsFjNRDt+IvjKJAUYFa7WSY/V3P8MKAUBfS4X6lC+jYVniTNyknRhuZ0L7lCXrrdSyFRiRSRTFSqQlIoLUQDjwYY0ngISIrEsfBjykBKHYc7GcUZBr0fifmJ6Ojd0ej1R2ZFWmya7+TdiVFT79W4q2herTkjQ1Vo03RSfhJGHx2NnSN2qtqWVK1ezW3X6pVWlIaTESexftB6u9t8BiYF4k7iHfw38T+9a6MFyrYH23Dn1R0cGnvIJlO/KIrCiusr0LVOV4xqNsrq92eKQ2GHEPAqANemXlN9Hr0reSNXlIvhh4bjuz7fcZMurQjX7mUjeAQPBEHgccpjNNzaEAefHTT6ucXSYqwJWAOfLT749e6vmNl2JuIXxuO3Qb9xAkUN+oX9o/8+4gIfWeTeq3vo/FdnrvWLReacm8N64OOuJ7swqOEg+FQxfVx6ZnFmmdceTeO8ypMCUus1zApzpJ/75mddvZIiFCjbvWhjvEguKlXpKZQUqsYP30m8g0knJuFy7GV4CD203sOQJ4WkSCTlJ5mcNm+JSAlOCUYnb+YOByiKwtW4qxa1emmjsrAyHHgOpTwqIWkheJnzEhNbmuZ/YpI9T/dAwBOoJuvZE2sC1sC3mq/RI5Hre9TH6cjTmHRikk08KiciTuBRyiOsGbDG7gSfsRRKCvHV1a8wzndcmeqei4MLPF089SbTczAPJ1JsTLta7TCp5SRMOzXNoFARyUTYeH8jfLb44Lub3+HDFh8i9otYbBq6yWAK8rvMukHruGR6FuletzvnUWGZA2MPsJpMH5IWgsCkQHza3rzpRlmirDIiRdOTQm9cSFK7cd5gNUBr4LzymrRxXk4qKykSucRgu1eBpEA1frhvg774c8SfiMiKQGpRaplKj1QhRZ44T69ISS1MhYyUGe1JySrJQrYo22yRklqYipTCFEYrmLG5sUjIS2BcpGgz0x8LPwZPZ0+btVmRFIldT3ZhYouJdtca/TzjOc5Gn8XXPb42ukqm7lGxtlCRk3J8e+NbvNf4PZP9bPbEL3d/Qa44FxsGbyjzMWOS6TmYhxMpNkbdTK9LqEjkEvz+8Hc02toIy64uw6hmoxCzIAb+w/1Ru3JtG6y6fKGZTM8JFWbhzPTso5lMz7RQWXtvLRp4NMAY3zFmPT+zOLNURgrwVhRQFFW63Qs62r0MeVJ0VFLUjfMyhaxU4rxErr/dSz3IcXaH2WhStQkS8xOx8NLCUmvUlgOjCT1+2NhKSkRmBACYPX74caqyItGhVgcDjzSea3HXIOAJdHogLEFdqAw7NAyHnx82edQ1k1yPu474vHjM7jDbJvfXx5qANajnXg+TW0026XnqQuWnOz+xtLqy7Hm6B9HZ0Vg9YLXV7sk0Mdkx2Hh/I5b3WK7zoEFdqIw5OgbJBclWXuW7BydS7AB1obLq1irV2EyZQoZdj3ehybYmWHhpIQY1GoSo+VHYNXKXSRNkON4KlaySLFyLu2br5VQ41IXKmagzdjUSs6JAC5UqzlVUoYFMEJ8bj6PhR/Flty/NNrtmleiopAhcVMZpVbuXjkqKuZ4U9f/KKXmZMEeVSNHS7qUZzOgkcELf+n2RJ84DSb1tS8sozgCgP22e/prUc69n1NojsyLBI3hoXLWxUY/X5FHKI1RzqWb0/YzhatxVdK3TtVTAJZPQQuX7Pt8jMT8RE1rYbqrXzic70cKrBbrV6WazNWgjPjceR54fwdJuS80ScCObjcTljy7jy25fsrC6spTISvD97e8xudVktKnZxir3ZINFlxehduXaWNZjmd7H0ULlxIQT3CGxFeBEip1AC5XAWYFw4DvgUNgh+G33w5xzc9CjXg+Efx6OfaP3sWqcrej4efkhcl4kJrWaBACqoDcOZqCFyvVp1+HAd0CeOM/WS6pweFfyxpPZT9Dfpz9IikRqYarF11wfuB5Vnavi43Yfm32NrJIsrZUUV0dXSBVSAG+FhK5KiiGNok/Y0P+VK+RvPSl8IcQKsSqzRLPdS7OSAihHEPes1xP7Ru8Dn8dHVFYUKIoySqQk5SehsrCy0QnbkVmRaFilodGZKpo8Tn2MDrU6MNb/ryAVuBF/AwN9BjJyPV24O7kjPi8ens6euBp71ehkeiZJL0rHqchTmN1htt35J9YHrkcV5yqY1d70ARY0/Xz6wd3JHbE5sVhwYQGrh0bbHmxDRnEGfupnvcoN01yIuYALMRewYfCGUgcZuhAKhBjWZBgA5deLy1FhD06k2BEECDxJfYK2O9piyskpcHN0Q8jcEBwed5jREZPvMvQGwv+hPzrv6sy1fjEMQRAQCoTIKslCi+0tuNYvFqDzRlbdXIUuf3WxKPAxNicWu57swpKuS0pt4E1BQSqQI8opa5yXKo3zKpHyRkgoSAVjlRTVc+l2L1Km9KQoynpSRPLS7V7qnhSaXHEuqjgrRxCnFaWhw84OWHhpIdKL0gFA74TA1wWvTZqIFZkdaVHS/KOURyZNEjPmenniPNaT3ymKwrHwYxjVbBRuJ942OpmeSfaG7IWAJ2AkAoBJ0ovSsTtkNxZ2WWj2z6M6UdlR+PPxn6wFPuaKcrHm3hrM6TAHDas0ZPz61kCqkGLx5cXo79MfY5qb1u6qIBW4k3gHo46M4oQKS3AixU4ITApE33198d7B91BZWBnDmgzDs/RneJb+zNZLq5D09+nPBT6yiKezJ2a1m8V5VFjks06fWZxMv+L6CtRwq4FFXReZvY4cUQ4oUDqN85qVFF1hjhblpIAHAgTkpBwCngAkRWr3pLw5JaUoCkXSolKVFJlChiJpEao4KU3UNd1qYsPgDdj2cBt2PtkJVwdXvRvHpIIk1K1cV++/QZ2IzAizD59SClOUIopBP8rVuKuoLKzMaDCkNoJTgpGYn4gpracYnUzPJLRh/gO/D6yWQWQsWx5sgYAnwLxO8xi53rAmw1hNpv/t3m+QKWRY2Xslo9e1Jv4P/fEy5yU2D9lsclWNz+Pj+AfHMbjRYE6osAQnUmzM84znGHVkFHrs7oE8cR7OTz6PuzPv4uyks6wl03NwyfRsw5np2Uczmd5UoXI/6T6OvziOn/v9bFSLgy4yS5Q/O7pECr0xUg9cZLqSAgIQ8ASlRh1rjiCmPTKA8vRUTspVOS4AVO2J6pOe5nScgx3DdyDgVQD4PL5eoWRKJUUkEyEhL8FskfIo5REAMFpJuRp3Ff0a9GM9hO/fF//Cy8ULvev3LjP1KyoritV7A8DN+JuIzY21O8N8vjgf/sH+mNthLqPTxmgz/enI05h5eiZj100pTMGWB1uwpNuScjtdNLM4Ez/c/gFzOsxBqxqtzLqGUCAsJVTuvbrH8CrfbTiRYiMS8hIw/dR0tP6jNZ5nPMfBsQfxdM5TDGsyDARBlDLTzzg1Ay9zXtp6yRUOdaHyzfVvbL2cCoe6UFl1axUS85gze3MoURcq24O3G/08BanA4suL0aZGG4tbXuhWqJpuNVXvoyiqbCVFrd2LaQgQEPAEkJEylUjRZ5wvlhUDANwc3VTXyBXnAgA8nDxKXXtOxznoVqcbRDIR0orSdK7BFJESkxMDCpT5k71SHsPLxYuRwEVA2Zp3P+k+BjZk149CURRORJzA6OajVWKIFioLOi+wSsvQzic74VvNFz3q9mD9Xqaw49EOiOViLO62mPFr00KFyfa2n27/BBcHF6sZ9Nlg5c2VIAgCP/b70aLr0ELlq+5flevhAfYIlzhvZdKL0vHL3V+w49EOeLp4wn+YP2a1n6U1cZcWKlNbTzV7AgyHfny9fHF35t1SGywO5qCFyvQ201Hfoz4oirI7o2p5x7uSNwJnBaralOiWJ31sfbAVD5Mf4s7MOyqPi7nQG3f1nyGJQgIKFFwdXCFRSEo9XleYo6E8CEPGeT6PD5lCpvr+0pY4T7drFUmLAGiIFJFSpNCfR3WqOlfFAJ8BqFWplqo6o/59LFVIkVaUZnS7Fz1+uFm1ZkY9XpNHqY/QwZs50/y9pHuQkTIM8Blg+MEWEJoeirjcOGwfVlpQuzu5qzaKgUmBEPKFqmR6JskozsB/Ef9h7aC1dvU6JJaLsSloE6a3mQ7vSt6s3IMOhSQpEn89+Qsz2840e/xzXG4c/nr6F37t/6vRgyLsjdC0UOx6sgsbB29kJARbKBDip/7K4QFRWVF4lf+KdX/XuwBXSbES+eJ8fHfzOzTa2gj7Q/fjh74/4OWCl/is02daBQoNj+Chn48y7GrtvbUmJdNzGEcTzyaoJKyE6OxoDD0wlGv9YhiCINCoaiOQFImPz3zMtX6xQDWXauDz+LibeBctt7fUm6PyMuclvr3xLRZ0XoCe9XpafO+0ojS4OLiU2vAXS5WVChcHF9VIdYs3hbo7rVTtXjJSphIudCVFvd2LNs5rEyna2r1oMoozULtybShIBYYeGFomRyW1MBUUKKMrG1HZUfBy8TLLE0FRFB6nPEbHWsy1et2Iv4GabjVZH9By4sUJeDh5qH6naeP7W9+z5lHZF7IPPIKHqa2nMn5tS/gn9B9kFGfgq+5fsX6v0LRQzL8w36LAxx9u/4BqLtUwrzMz3hlrQ1EUFl1ehKaeTfF5p88Zv/7ae2vx/uH3ucBHBuBECsuI5WJsCNyARlsbYV3gOszrNA9xC+OwoteKUv3QhqAoClFZUUYl03OYh5yUIyQthAt8ZAkCBOpWrst5VFiEFoO6Ah/FcjGmnJyCmm418euAXxm5Z1pRGmq61SwlQkpkJQDeiJQ3lRSegV83hjwp2iopFJQmfFW7l1olRcgX6mz3okWKq8Pb12C63UtbJSWjOAPVXauDz+NjcqvJ2PZwWymh8rrgNQCY1O7V1LOpUY/VJLkwGenF6YxWGm4m3ES/Bv1Yry6ciDiBkc1G6j2YO/7BcVbM9BRFYeeTnRjvNx6eLp6MXddSSIrEhvsbMLr5aDTxbML6/drVamdRMv2LzBc48OwA/tfrf4xMILMF/0X+h1sJt7BpyCZWwkS3D9/OJdMzBCdSWEJBKrA/dD+abmuKr699jfF+4/FywUv8Nug3s07PCILArpG79CbTc1gGl0zPLpyZ3jIkEgnatm0LgiAQEhKi9TH6kukpisK88/MQmhaKYx8cM+mQRB9pxWmo5Var1PtKiZQ3lRRDvnhzNsjqwoZP8JXBkW+0jLbpXvSmiq70aLZ78Ql+qffRZJZkqjJSZneYjT9H/FlKqCQVJAEA6rob1+4VnR1t9oaU3rgzZZrPF+fjUcoj9Pfpz8j1dBGRGYGIrAiMbT5W7+M0zfRMCZVbCbfwMuel3Rnmz0adRVR2lFWqKDTqyfSmCpXvbn6HupXr4tMOn7K4QvYQy8X48sqXGNZkGIY2HsrKPdST6TmhYhmcSGGBK7FX0GFnB0w/NR1d6nTBi3kvsGPEDovTSdXN9NNOTcPFmIsMrZiDRl2ojDg8Qu80Hw7T0RQq56PP23pJ5YZly5bB29twv7q6UJl8crLqe3j3093YHbIbO0bsYHQqVGphahlPl7pIoUNTCRDgE3r8L2aEOVJv/gB468N5cx114zxFUaVyUrR6UtQyUtQplhajRFZSKshRXahci7uG1wWvUcmxUpkEe13EZMegSVXzRMqjlEeo7lodtSsxk3Z9J/EOSIpkXaScjDgJVwdXDG402OBjaaHSo24Pxk66dz7ZiWaezdCrXi9GrscU6++vR4+6PdCtbjer3pcWKm6ObkYfEDxJfYITESewqs8qvdUwe2bT/U14XfAaGwdvZPU+tFAZ1XxUuf1c2QOccZ5BQtNCsezaMlyJvYIedXsg8ONAxl94aKHiW82XkX5yjrLQQiWtKM2uzJUVBVqotK3ZlrWTrIrGxYsXceXKFZw4cQIXLxo+nKCFSqGkUPU9/NXVrzC/x3zMaDuD0bWlFaWVaV2ip2e5OroitShV9X4BTwCFQvt0L0PtYNogCAKg3hrngbd5KqoRxG/+C6BMu5dmJUVzshcAnWnzszvMRufandG2Zluciz5ndKtXdkk2csW5Zrd7PU59jI7eHRl7bboRfwP13OvBx8OHkevp4kTECQxvOtzocdfuTu44N/kcAGUVLD4vHn5efmbdO7M4EycjTmL1gNV29Zoe9DoIAa8C8N/E/2xy/5HNRqoM9c/Sn8G3mq9eUfi/G/9DM89mmNrGvjw9xpJSmIJf7v6CBZ0XmD20whSEAiGOjj8KQNldE5YRhrY127J+34oE65WUQ2GHVKX1ikpSfhJmnJqBdn+2Q0JeAk5OOIm7M++ydjLCI3j4qsdXqCSshKisKBwLP8bKfd5l/Lz80N+nPxSkAt/f+p5r/WIYgiAw1ncs+Dw+rsddx8b77J5qlWfS09Px6aef4p9//oGLi+EecIlEgoKCArhRbqjlWAtHQ5S/JPs26ItNQzcxvj7ak6KO1nYvgJUMDrqSolmlUa+kiOQi1XqAtyJFfcOcJ84zSaQAUG047r66i2JZsVGV1+jsaAAwq5JCURQepTxiNMTxRsIN9Pfpz+rmPS43Dk/TnmKc7ziznr/y5kr02N3D7Nav/aH7AQDT2kwz6/lssS5wHZp6NlUJBVuRL85Hn7199AY+3nt1DxdfXsSP/X5kPUuHLb65/g2cHZzxXZ/vrH5v/2B/TDoxCXJSbvV7l2dYFSnJBcmYc24ORhweUSGFSr44H8uvLUfT35vi4suL8B/mj+efPccY3zFWO63568lfmHRiEhf4yBIphSnY8WgHF/jIIjgmzDMAAEH6SURBVIFJgfjyypecR0ULFEVhxowZmDt3Ljp2NK5Fa/Xq1XB3d1e+dXfH7PPKHvzIrEi8yn/F6PpkChmySrL0ixSFcSLFksR54O0IY1q0qI8gptdDt3sVy4rh6uBaauxxviQf7sKy41T1iRSaXHEuXuW/KjP1SxsxOTEAYNZY+dcFr5FZkslYu15WSRaepT9D/wbst3o5CZwwrMkws56/svdKsz0qFEXhr6d/YazvWEZGzTLFy5yX+C/iP3zZ7UuD47fZxt3JHftG79OZTE9RFL658Q3a1GiD8X7jbbRKy3iY/BD7Qvfh534/az2MYJs5Hebg2tRr5Vbg2QpWfzJqV66Ni1Mu4lHKowolVKQKKbYEbUGjrY2w9cFWLO22VDVOmI1JEfr4bdBvXDI9i9R1r8sl07PM/3r/750z03///fcgCELv26NHj7Bt2zYUFBRgxYoVRl97xYoVyM3LxbeXvwXxAaEyKgv5QrOS6fWRWZIJCpRRlRQKFKO/oAkQoKg3nhQCZdq9eAQPclIOIV8IkUxZSVFv99I0yOdL8rVmPtAixdNZ90QoiVyC4Y2Hl5n6pY2Y7BjUrlTbrMEFdNI8U5WUWwm3AEDvSGAmOBlxEkMaDdE6lMAYLDHT3399H5FZkfik3Sdm3ZstNt7fCC9XL7up7qgn02sKlatxV3En8Q5+7v+zzQWVOVAUhYWXFqJ1jdb4pL1tvg+EAqHFvuR3Eda/23rW61lhhApFUTgWfgy+/r5YcmUJxjQfg5dfvMRP/X9CJWElm6xJ3Uw//dR0buoXC6gn0w/YP0CVp8DBDJpmev+H/rZeEuvMnz8fERERet9atmyJGzduICgoCEKhEAKBAI0bK0/fO3bsiOnTp2u9drY0G5POTcKv93/Fqj6r8PfYvwEAF6ZcgJPACX339kW+OJ+Rf4e2IEcAKJQUgkfw4CxwhkQhAZ/gg6RIvcGRpnpS6MleFEUB1Nt2L7qSQgsFXe1eZUSKWHclpapzVZ0HUDKFDGlFaRjtOxo7hu/AtofbsOH+Bp3rjsmJMX+yV+pj1HSryVjg3434G2hStQljyfXaSC5Ixv3X9zHWV/9UL0OoC5XLsZeNft7fT/5GA48GrAsxU8gszsSekD2Y32m+avqcPUALlQevHyC5MBmA8ufo2xvfomudrhjeZLiNV2geh8IOIeh1EDYP2WxxeC2HdbFK3YkWKqsDVmud0FIeuJt4F0uvLsXD5IcY3mQ4Tn94Gi2rt7T1sgC8FSrOAmfUqlTL8BM4TIYWKrue7EIlR9sI0ooMLVQqCytjYMOBtl4O61SrVg3VqhluPdm6dSt+/vln1d9TUlIwZMgQHD16FF26dCn1WAWpwJ6QPVh2dRmEAiEuTLmAoY2HoqCgAABQq1It3JpxC2ejzjKWEk2LFM0RxLQIIAhCZV6Xk3LGp3vR76dAlamk0I/X1u5VJC0qU8nQ1+6lr9UrtehtkOPQxkNRxbmK3uT26Oxos9u1aD8Kk6Z5tqd6/Rf5HwQ8Ad5v+r7F13J3csetGbdUAZ35Yu3VL5oiaRGOhh/Fsh7L7KoC4B/sDx7BYyVI0FJGNhuJwY0Gw0nghGJpMS6+VB4yX5923a6GDhhLsbQYX1/7GmN9x9qVUOUwDqv91Pas1xPnJ5+Hm6MbYnNiy01FJSorCqOPjEbvvb0hJ+W4Me0Gzk0+ZzcChYZH8OA/3F9l9g54FWDrJVU4fL18sXHIRlWyN9f6xSwEQWBp96VoVq0ZCiWFXFUQQL169dCyZUvVW9OmyolQjRo1Qp06ytNviqJwPvo8Ov/VGZ+e/RQjmo7A88+ea52c5l3JG3M6zgGgTLnWl0xvDLRI0dzEq1cqJHIJhHwhZAqZfk+KIZVS9gmqMEfgbSWGFickRQJQtllotnsVy4q1V1K0tXuVZMDLxUvnMpLy32SkVFZmpExoMQGeLp54lf8KP9/5uVTrF0VRykqKmaZ5erIXE6QUpiAqO4p1kXIi4gQG+AxAFeeyIZnm4CRwAkEQOB99Ho22NtLb+nUs/BhKZCWMT7SzhBJZCfyD/fFx24/tKlRSHXps95ijYzDrzCz0bdCX9e8Ttlh7by2ySrKwbtA6Wy+FwwysfrQgJ+V47+B7dt/6lSPKwcKLC9Hyj5YISQvBwbEHEfxpcLlQ4vtC96HP3j7cJo8lpAoppp2axgU+ssix8GP46L+P3hmPijkUSYuw6/EutN/ZHiMOj4CzwBkBMwOwf8x+g5sfsVyMX+7+ojOZ3lhSC1Ph6exZphWqUFqoqjjS5nVDlRRzjPMqTwreGudpcUJP0TG63UtHJSWrJEtvJUVX2vzdxLtYeXNlKY9KenE6iqRFZo0fTipIQlZJFmN+lJvxNwEop76xRWZxJu4k3jF7qpc+etbricZVG+v1qPz99G8MajQI9dzrMX5/c9kXsg85ohws7rbY1kvRC0EQaFm9JQokBSBAmJxMbw8k5iVibeBaLOm2BA2rNLT1cjjMwOoiRcATYPeo3XbrUZEqpNgctBmNtzbGnpA9+KnfT4icH4nJrSbbVblYHzPazuCS6VnEke+I85PPc8n0LPJxu4/fOTO9MVSpWQVnIs9gS+IW1N5YG3POzUGdynVwbeo13J15Fz3q9TDqOk4CJ9yYfkNrMr0pJBcma/UzlKmkCISQkTLweMy/htJChb42LQhIUilWdLZ7Obxt95KTcpTISrRWUrJKsvSa5pMKkuDm6FYmyHFK6yllkuljspWTvczxpDxNfQoAaF+rvcnP1caN+BtoVb2VXgFmKaciTwEARjcfzfi1DZnpI7MiEZgUiFntZjF+b3NRkApsuL8B43zH2f2mWaaQ4UzUGXTy7oSAVwEmJ9PbA19f+xoeTh5Y0dP4wSMc9oVNZqHRHhW6onJu0jmzJp0wCUVROBt9FkuvLEVsbiw+afcJfuz3I2q41bDpusyB9qgAwLRTyskhU1pPseWSKhx04GP/ff3Rf39/3Jh2A16uultCOEyD9qgAyl80ALCsxzJbLsnqUBSF1KJUBCcH43bibdxOvI2QtBCQFIlmns2wqMsifNzuY9T3qG/W9enAx757+6Lfvn64PeM2fKqYFuiXVJCkVaQUSgtVw0QkCmW7l5yUQ0Aw1+5FgCiVOK9eSRHwBKrRx+rTvdQrKeotXAUSpW9HVyVF3+ja1wWvUbdyXa2VoNkdlOOf55ybAwFPgBZeLUCAMGuDGpIWgmou1ZgzzSfcwMim7OZznIw8id71e7P22kgLlSEHhmDhpYW4O/Ou6uuw++luVHWuilHNRrFyb3M4HXUasbmxODzusK2XYpC9IXsRmxuLExNOIDE/EeOPjceZqDMY58d8VYwN7ibexdHwo9g7aq/NBhtxWI7NBjbTQmXcsXEIzwxH59qdbbUUhKaFYsmVJbgRfwMDGw7EvxP+ResarW22HiZQFyo3E25yIoUFaKHy0cmPkCfO40QKw6gLlYoESZEokZWgSFqEQkkh0orSkFqUitTCVKQUpiC1KBUxOTGIyIxAvkQ5haueez30qd8Hn3f8HH0a9EGjKo0YMbHSQmXRpUVmmelfF7xG19pdy7xfWyVFTsr1VlLM+vdQbyopFFXKk+LAc1ClzAsFQojkIhAg4Mh3BKA006q3e9HTzrR9DrJLsg2KFH3TsWZ3mA0CBLxcvRD0Ogj13OuZNdEpJD0EbWu2ZeTrnpCXgIS8BFbbl/PF+bgedx0bBuuedMYEtFARy8UgCOVYajkpx77Qffio1UcQCoSs3t9YKIrCusB16FO/DzrV7mTr5ehFLBfjxzs/YmKLiWhTsw3a1GyD8M/DVRVAiqLs2kSvIBVYeGkhOnl3wtQ2U229HA4LsGmqTM96PRG/MB4uDi5QkApIFBLVSZc1SCtKw/9u/A+7n+5GU8+mODvpLIY3GW7XP3ymQAsVuv0hsziT20gzjJ+XHx7PfgyCIFAoKYREIbGrwLDyDkEQ+LHfj6q/h6aFok3NNqq/yxQy5IpzkSPKQZ44DyWyEtWbSCYq/Xf5279LFBKQFAmSIqEgFW//n1KUeb+291GgVO/T9kZRpT8uI2UolhajWFasaj3SxEngBO9K3qjlVgtNqjbBqGaj4FvNF21qtkEDjwasfY69K3nj2AfHACh7uBWUwuiT/tcFr1HHV0slRVKoqkKL5WKVcV5fy6yhSoq26V6U2h/6dVtBKuDId4RUIQWgrKSUyErg7OCseoymJ4UWg5qVFJFMhGJZsd6f6aSCJLTwaqF37Z92+BSAMvnc3cndrE1eSFoIxvsyE6R3O+E2CBDoXb83I9fTxsWXFyEjZRjVnP1KhruTO9zhjrSiNIw9OhbjfMchozgDH7f7mPV7G8u9pHsIeh2Es5PO2nopBtn5eCdSClNKHRLRAuXvJ3/jStwVHBhzwOq5cMayP3Q/nqY9xb2P75WbNn0O7dg8+pIWJfMuzENUdpRVWr9EMhE2BW3C6oDVcOQ7YsvQLZjbca7d/sBZAo/gAQQQlh6Gbn93w44RO/BR649svawKBb3ZmHl6JqKzo3F92nVODJqJWC5WVRTot7SiNOSIcvAy9yVuxN9ALbdacOA7IEeUgyJpkd7rCXgCuDi4lHlz5DuCT/DBI3jgETzweWr/T/DBJ/hwEDio3q/+WG1vBIiy7yPevk/AE8DVwRVujm5wdXzz3zd/r+lWE7Uq1YK70N3mByRzzs3Bi8wXuDXjlkGhIpKJkFWShbrudct8rEhahMaOykwXieJNJYUyYJw3td2LIFTTvSiKeps4T1Fw4Du8bfd6M91L/QBM05Oiq5KSLcoGAIOVlKGNyk5S00ZoWiji8uKw8NJCbBm6xeivd544Dwl5CWhbs61RjzfE7cTbaFWjFao6V2Xketo4FXkK7Wu1t6pp3VngDJIiseL6CjSv1rzUgYatWRe4Dr7VfDGsyTBbL0UvJbISrA5Yjamtp6JZtWZlPu7l6oX/Iv7DZGoyDo09ZHf7piJpEb658Q0+bPkhutftbuvlcFiIzUUKzUetP2Ldo0JRFI6GH8XX175GSmEK5neaj5V9VrL6Qm0vtKjeAhNaTMD0U8oAOE6oMM9P/X5Cv339MGD/AE6oaEFOyvG64DXic+ORkJeA+Lx4JBUklRIkOaKcUs9xFjijpltNeLp4oopTFbTwaoHwzHD0b9Afw7sMR1Xnqqo3d6E7XB1dVULEWeBsd79A7Z3do3aj796+6Lu3r0GhQoe96fKkqNq91DwpbEz3oitbtMhRUMpKCp10L+Qr271o0zxgfCUlqyQLAHROS5MpZEgtTDUqDJGkSKQUpeADvw+w7eE2ADBaqISmhQIAYyLlTuIdVjfLUoUUF19exJfdvmTtHtpwd3LHvtH70Ny/ORLzEvE45TE6eDMzDc0SorKicCbqDP4e+bfdn+zveLQDmcWZWNl7pdaP04GP44+Nx+ST9idU1t5bi1xRLtYMWGPrpXAwgN2IFLbN9EGvg7D48mIEvQ7CyGYjcXXqVbPGQJZX1D0qnFBhBzrw8V0WKgpSgYS8BERlRyEqKwpR2VGIyYlBXG4ckvKToKAUqsd6V/JGPfd6qF2pNvo16AfvSt5l3jSrCxRFYdWtVfjpzk8Y0niIXeUfVATUzfSGhAqdD6JrupdqBDE93UshY6VSRFdSVO1elAIOPAdVu5cj31HV7kU/XjMnRWclpUR/JUU9yNEQyQXJEMvFmN5mOgb4DMDc83MBGCdUQtJCIOQLtZ5sm0pyQTJic2NZbfW6lXALBZICm5jWT0WegpAvRAuvFhh6cChiv4gtM3nN2my4vwE13WpiSiv79oYWS4uxJmANZrSdgUZVG+l8nLpQ+e7md1g9cLUVV6mbpPwkrA9cjyXdlpg9UITDvrAbkQKUFio7Hu3Al90tP4VJyk/C19e+xuHnh9GmRhtcn3a93IYSWYq6UPnm+jcY6zvWqh6gdwF1oXIu+hxmtptp6yWxgpyUIyorCs/SnyEsIwyRWZGIyo7Cy5yXqs2hs8AZTT2boqlnU3Ty7oQGHg3g4+EDnyo+ZpuH1c30R54fwcIuC+3GGFtRoIXK4H8GIyIzQqdI0ZUPAmgY5994DQ1VUsw5YaZAgYSykqKa7kWSetu9xHIxSIosU0lx5DuW+Z6kKym6RIq+z4EmMTnK8cNNPZtieNPhAIDLsZchJ+UGT6JD0kPQqkYrvWGYxnIn8Q4AsCpSTkWeQn33+lYfQENRFHaH7MZ4v/HwH+aPwKRAmwuU9KJ07A/dj1V9Vtn9a5V/sD9yxbn4X+//GXzsyGYjcWHKBcaqe0zwzY1vUElYCct7Lrf1UjgYwq5ECqAUKsGfBquqHOZOkRDJRFgfuB5r7q2Bm6Mb/nr/L8xoOwN8nu5fku8CtFBJK0qDi4MLSIq0+/JzecPXyxcv5r1QtRFKFVLVVKHySI4oB8/SnyE0LRSh6cq38Ixw1SawTuU6aF6tOfo16Ie5HeaiWbVmaF6tOepUrsPK9xYtVFb0XAGhQIhCSSE3YpJhvCt5I2RuCAQ8ASiKQmZJZpk8jdcFr1HVuWqZgw6Kokp9TSRyCao4VUGhtJDxnBQ6I4Wi3rZ7yUm53nYv2sekXqnPF+sOcnTgOaiqQpqkFKYAAGpXrm1wrdHZ0eATfNUQhDkd5ygnfxEE4nLj4OPho/N3XUhaCDp5MzMR6nbibTSv1py1fBSKonAm6gzG+423uscq4FUAorOjsWP4Drg7ueO9Ju+Boij8fOdnDGsyzCatX78//B0CngBzO861+r1NoVBSiLX31mJWu1lGD+oY2HAgAOVh8Mb7G7F20FqbtX49TH6IA88OYOeInTYXphzMYXciBQCaV2sOALgaexWbgjbh+AfHjW79oigK/0X+hy+vfInkgmQs7LIQK/us5L5p1eARPHhX8kaxtBjvHXwPczrM4UYUMwwtUPY83YNNQZvKTetXWlEaHrx+gOCUYISkhSA0PVR1WizkC9Giegu0qdEG01pPQ5uabdC6RmubeLoIgoCzgzPyxHlo92c7fNbxs3cuR4Vt6FP71QGrsePRDtycfrNUC0hSQRLqVi5rmpcoJFBQClWlQiwXQygQIlecq3+6lyFPio7pXvQENdp3T4JUtXvxCT74PH6pdi9apGhWUnQGObp46lxbSmEKhHwhqjhV0bt2AIjJjoFPFZ9SmziCIJBVkoX2f7bHtDbTtLZ+SRVShGeE49P2nxq8hzHcSbyDPvX7MHItbTxOfYzkwmSbtHrtDtkNHw8f9Gnw9t8nlotxPuY8NgZtxLWp16wqVEQyEf549Ac+af8Jqjgb/h6xJdsebkOhtBDf9vrW5OeGZ4bDP9gfSQVJODzusNWFCkVRWHJ5CVpVb2VXE904LMcuRQqNs4Mz7r66a7RH5XnGcyy8tBA34m9gWJNhuPzR5XfKd2Iqzg7OaFy1MRf4yCJd6nRBRnGGXQY+iuViPEl9ggevHyAoOQgPXj9AYn4iAKCmW020rdkWU1pNQZsayjn5TT2bMtJuwiTuQndMbT31nQ18tAYz2s7A3pC96LevXymhoisfpFBSCABajfPqE7zoMEZLoM30pYzzb0YQSxQSVQVTJBeVCnJUXx+gv5Kib7JXSmEKvCt5G1UxiMmJQZOqZZPmq7lUw9pBazHn3BwAZT0qLzJfQEbKGGmrySjOQERWhFHtPOZyKvIUqjhVQa/6vVi7hzYKJAU4Fn4MK3quKCWGnR2cVYGPA/8ZaFWh8s+zf5AjysEXXb6wyv3MJV+cj/WB6zG7/Wyt0/oMMbTxUJVHZdKJSVYXKv+++Bf3ku7h6tSr73y3TEXDvnYcGhhrps8R5WDVzVX449EfaFilIc5PPm/3Y/7sAS6Znn3sJZmeoijE5sYi6HWQSpSEpoVCRsrgJHBCR++OGO83Hl3rdEWX2l1Qp3Idm4/DNQYumZ59NJPpaaGSVJCELrW7lHk8LQJKGeeNyEmhwxhNgaIoUERp47ycUno8aMM+oDzR9nDyAAAUy4oBGFdJyRbpD3KkRYoxxOTEYEijIVo/pp5MD5QWKiFpISBAoFX1VkbdRx93E+8CYNePcjrqNIY3HW71A41j4ccgkokwvc30Mh9TT6Yf+M9A3Pv4Hvy8/FhdD0VR2By0GaOajzI6d8hWbHmwBSWyEqzotcLsa6ib6aedmobD4w4zuELdiOVifH3tawxvMlzVfsZRcbBrkQKUFiqzz83GwbEHVR9TkArsfLwTK2+uhFQhxZqBa/BFly/Kdf+/tdEUKh28O6ja7TiYQV2ofHnlS+wfs5/1e1IUhYisCNxOuI3bicq3tKI0AEAzz2boUqcLPm77MbrU6YJW1VvZ1QhJU1EXKv+78T+M8x2ndzINh+moC5WN9zfCf7g/EvISMLHFxDKPLZRqqaTQifP6PEoGNLHWEcRv/CgkRb71pCjkqnYvIV8pUkpkJSoxofKkqOekSCyrpBhCTsoRmxOLJp3KVlJoaKHy7Y1vsbT7UlW+SEhaCBpXbcyI7+p24m00rNLQKKO/OcTlxuF5xnN83+d7Vq6vj70hezGo0SCdlQBaqPxy9xeriIYrsVcQkRWBHSN2sH4vS8gV5WLj/Y34rONnRgtuXdBCRU7KGVqdYbY+2IpX+a9wYcoFq92Tw3rYvUgBlELl8keX4eXy9gT6dsJtfHHpCzxLf4YZbWdg9YDVqOlW04arLL/QQmVCiwmcQGEJPy8/3J5xmzWzKkmRCM8Ix+3E27iVcAt3Eu8gsyQTAp4AHb07Ynqb6ehTvw+61ulq973R5kALlcmtJqNR1UZmD9zg0I13JW8EfByAKk5VkCfOQ544Dz4ePmUep6qkCDUqKaQMTnzdE91MDXME3vpUSIoEAPAJPmSkTGu7l6ZxXrPdq2a1sr8/skqy9G5oUwpT0LJ6S4PrfJX/CjJSpkrt1sXsDrMxocUEeDh5QKqQwoHngJC0EEbzUdj0o5yOPA0hX4ghjbVXjNjiZc5L3Eu6V+oQUxvuTu5YO2gtAOBp6lOQFMla69fmB5vRvlZ79Kpn3bY3U9kUtAlShRRf9/yakeuNbDYSgPJQ4Z9n/2BSy0msHYJlFGfgl7u/4LOOn3F7lwpKuRApAFTJoeEZ4Rh7bCyis6PRpXYXPPjkATrX7mzj1ZV/eAQPQxsrU5O3B29HZWFlLkeFYeiMg4S8BHxx8Qv8PfJvi1q/EvIScCX2Ci7HXsathFvIEeXAgeeALnW6YHaH2ehTvw+61+3OSjCqPUIQBJpXaw6KovDFxS9Q170u1/rFMLTIPvv8LABo3XxoigCJQgIngRNkChlcBLpHnlsyCY4WKwKeADJSprXdy6BxnsVKSky2cvywNk+KJh5OHiApEqOPjEajqo3wNPUpIxvIXFEunqU/w6Kuiyy+li5ORZ3CgIYDSn1urcH+0P2o5FgJo5uPNvo5/7v5PwQmBbLiUYnIjMCll5ewf/R+uz4syS7JxuagzZjXaR7jh7zPM57jkzOf4Gz0WdYCH1fdXAUewcP3fb9n/Noc9kG5ESklshKsu7cOqwNWQ6qQonm15rg69So3epRhKIrC45TH2Bu6FwAX+MgGIpkID5Mfmhz4WCQtwq2EWyphQo807VqnK+Z3mo8+DZSVEi77BqjiXIXzqLAIPX76i4tfoE2NNqXa62jjPO1Joad7yUilJ4U2zDNhnKehKykCngAyhbKSotnuRf9cFEuLwSN4pTJRdBnn9XlSiqXFyJfkGyVS4nLjIOAJjDYl8wgeRjUbpQp8bFOjjVHP00fAqwBQoFirpGSVZCHgVQB2DLduexNJkdgfuh8TWkww6bXv0NhDrJnpNwdtRi23WpjYsmw7pD2x4f4GkBTJymtkqxqtWE2mD88Ix84nO7Fu0Dp4ungydl0O+8LuAzIoisLx8OPw9ffFrwG/YlHXRbg05RJeF7zGyCMjUSwttvUSKxQEQWDXyF2Y3mY6pp+ajgPPDth6SRUOOvAxozgDA/YPQGZxptbHkRSJkLQQ/BbwG/rv64+qv1XF+4ffx5moM+hbvy9OTDiBrGVZCPg4AD/0+wH9ffpzAgVvW79W9l6Jr699jbX31tp6STbB398ffn5+6NSJmXwNdfLF+XAWOMPFwQX99vVDbE6s6mOaOSR0u5dUIQVBEDqn71hy4kx7Uhz4Dqo2KX3tXq4OrqXup804XyIrQYmsRG/aPACjREpsbiwaeDQwyUw+p+MczO2gFCknI05q9eSYwu3E26hTuY7RGRimcj76PCiKwvvN3mfl+rq4k3gHifmJWg3z+qA9Ks08m2HgPwPxOOUxI+vJLsnG/mf7Ma/TPLv2x2YWZ2Lrg61Y0HkBa8NcaI/K6cjTmHxyMmQKGWPXXnp1KXw8fDCv0zzGrslhf9h1JeVZ+jMsvLQQtxJu4f2m7+P6tOtoXLUxAJSa+nV16lW7G41anlE3008/NR0eTh4Y0XSEjVdVsVBPpn/v4Ht4+OlD8AgeckW5uPjyIi6+vIirsVeRXpwOVwdX9PPphw2DN2BI4yFoUrWJXbcQ2AOaU7+aejY1qRWkIjBv3jzMmzcPBQUFcHcvWyWwhPi8eDSs0hBXpl5B3719Mf74eDyZ/QQEQaBQWghHviMc+Y6gKEplnJcpZCDe/NGGIU9KmaqL2l8VpAIUKFW7Fx3mqKvdS70dSUEqUCQtKlNJyS7JBqA7bZ4OcjS2kmKOWbuGWw24Obhhd8hujPEdY9HrMO1HYeu141TUKXSp08Xq3tB9ofvQsEpD9KzX0+Tn0kJl4r8TGTN7//n4TwBKkWnPrAtcB4IgsLT7UlbvQwuVA88OMFY5vfTyEi69vISTE06qfsY5KiZ2ubPPE+dh5Y2V2P5oO5pUbYKLUy6q/BI09NSvJ6lPOIHCArRQaVy1MXrU7WHr5VRIaKES8CoAm4M242z0WdxNvAsFpUDbmm0xo+0MDGk0BN3rdudeiM2AFiotvFpgeJPhtl5OhSI+Lx4+VXxUU7+ySrJUm98iaZGq1UtGKk9OaeM8j+CBz+Or3q+OOcZ5GrrKQE/1cuA7qPJZAGXLmXolRV2kFEgKAKBMJSWrJAsA4OmsvZXEVJHSrU43U/5JAJSTvbrV7Yaf+/9sUeJ8oaQQT1Kf4JP2n5h9DX2IZCJcib2Clb1XsnJ9XRRLi/Hvi3+xtNtSs8WXu5M7Ln10CYAyODMuN85sE7ZUIcXvD3/H1NZT9XqZbE16UTp+f/g7vuz2pVVapUY2G6ky1EdkRqBx1cZmt37JSTm+vPIl+tTv884dPL2L2NXunqRI7AvZh6+vfQ2RXITfBv6md6Rwz3o9VacnJyNOYkijIe+MSdga8Agevun1DQClSftRyiOM9xtv41WVfxSkAoFJgTgbfRZno88iMisSjjxH+FTxwZoBazCp1STUrlzb1susEBAEoeoLD0wKxMPkh6wah98VEvISMMBnAADlJt27kjdEMhHmXZgHJ77TW9O8XOldEQretHuB0G2Qt+CAX0GpVVIUMjjwHFAsLYYj3xEKUqHKAwKUOSmapnkAZSspIsOVFFcHV5Ug0wVFUYjLjcOUVqZnUIWkhWBii4mq4TCHwg4hODkYG4dsNGlTHpgUCAWlYM2Pci3uGkpkJVbfNJ6MOIkiaRGmtZnGyPV+uPUDtj/abrZH5Xj4caQWpWJhl4WMrIctfrv3Gxz4DljSbYlV71skLUKfvX3Qu35vswMfdz3ehYjMCPwz+x+uo+AdwG48KU9Sn6Dn7p74+MzHGNhwIKLmR2Fp96VG9XSmF6VjxqkZGHF4BOdRYYk/H/2Jif9OxMFn+kc8cmhHqpDi8svLmHN2Drw3eqP33t7YH7ofPer2wKmJp/D88+fIE+dh37N9dt3HXJ65GX8Tiy8vfmc9KkxBUiTic+PLtC/lS/IR8CoA/4T9o/oepg32dJgjwdMtUkytpKi3jpAUCVDKaWPqI4iFAiHEcjEAqERKkbSo1GFWvviNSNFRSdEnUoxJm88qyUKhtNDk7J4cUQ4S8xNLjR8ukhZh84PNWHhpoUkelduJt1HDtQaaejY1aQ3GcjrqNJp6NrX6GNh9ofvQp34f+FQpOwrbHJb1WGa2R4WiKGwK2oTBjQajRfUWjKyHDVIKU/DHoz+wpOsSq4+jd3N0w18j/8KZqDOYdGKSyR6VfHE+vrv1Haa1mYb2tdqztEoOe8LmlZRcUS7+d+N/2PF4B3yrKdtf+jboa9I1arjVwIUpFwwm03OYzy8DfkF6cTqXTG8CdAvEiYgTOBt9FnniPDSs0hDT20zHWN+x6Fy7c6kNmz0k01dkvun1DSQKCTf1y0KSC5IhkovKbHhrutXErRm34Ovvi8T8RMTmxKraFJ0ETgYrKQZPRfXsyUmKVFVSVMZ5uQRujm5aRYoxlZSskiw48h11jtM1dvxwXG4cAJjsSQlNCwWAUiJFXzK9Pu6+uote9XuxcvJMUiTORZ+z+iTIpPwk3Ii/gb9H/s3YNTWT6U2pqNxLuofHqY9xccpFxtbDBmsC1sBJ4GSzirJ6Mv2kE5NMqqj8cvcXlMhK8Ev/X1heJYe9YLNKCkmR+PvJ32j6e1P88+wfrB+0Hk/nPDVZoNDQHpVHKY+4igoL0B6V6W2mY9qpaTgUdsjWS7JLCiWFOPr8KCYcnwCvdV4YfXQ0nqQ+wYLOCxAyJwQvF7zE2kFr0bVO1zKbNTqZPrM4E/3390eOKMdG/4qKiebUr20Pttl6SeWS6OxoANB6Ku9dyRu96/WGgCdAv339kFaYBgCqEcSAMnBRGxYZ5ykFKIoqM4LYke+oEim6jPP6Kimezp46N/asi5T0UDgJnMoEQM7uMBt/jvgT2x5uw5qANQavI5FLEJwczJq38EnqE6QXp+P9ptad6vXPs3/g7ODMeAuy+tSvkxEnjX7epqBNaF6tOQY3GszoepjkdcFr/Pn4TyzttrTM97s1oYXKvaR7SMhLMOo58bnx2PJgC5Z1X8a1Q79D2KSS8jjlMeZdmIcHyQ/wUeuPsHbgWtSqVMvi69JC5bub32k1ZnJYBi1UHPmOqCysbOvl2A1iuRgXYi7gyPMjOBt9FmK5GB1qdcC3vb7FWN+xqhBHY6CFyrYH2wz2unOYDi1UXBxc0KcBe8nbFZno7GgIeAKdo2xlpAx96vfB4EaDVcLAkef4drrXm00/QRB6qyOGUBctClIBACoviso4LxBCJBcBQClPirq40FdJMRTk2NG7o8F1xubGoppLNZNfM8PSw+Dn5ad1MMzsDrNRWVjZqEO9J6lPIFFIzJp+ZQznos/BXeiuCly2BhRFYV/oPoz1HctKVpq7kztuTL+hc9iCJvG58TgVeQrbh223KJSUbdYErIGboxsWdFlg66VgZLORGOAzAK6OrhDLxeATfL0VlW9vfAtPZ0/Wp5Fx2BdW/WnKLsnG3HNz0WlXJ5TISnBnxh38M+YfRgQKTc96PXF92nV4OHngVf4rrqLCMDyChx0jdmBE0xEgKRIPXj+w9ZJsgpyU4/LLy5hxagZqrK+BccfGISYnBj/0/QHxC+PxaPYjrOi1wiSBQuPn5Yc/RvwBB74DgpODdeaocJgHQRBY3nM5WtdoDZFMhGPhx2y9pHJFVHYUGlVppHOqYr4kHzXdamJR10WQKqQAgLTiNJWooAMdNbFkc6egFCBBvk2cf9PuJeSX9aQUS4vh6lDak+LAcygV7gjoD3KkKMqkSoo544fDMsLQqnornR//sOWHqOlWE2lFaVh9d7VOj0rAqwC4OLgwEgipjfMx5zG08VBWEsV18SD5AaKzo03ORjEFFwcXEASBa3HX0HBLQ70elW0Pt8HDyQNT20xlbT2WklyQjF1PdmFJ1yV2c8jo6ugKiqLw4b8f6s1ReZTyCIefH8aP/X7kWvnfMawiUkiKxK7Hu9Ds92Y4/PwwNg3ZhCdznqBX/V6s3I8gCChIBYYdHMa1frHI4bDD6L67+zsT+EhSJAJeBWDe+Xnw3uCNoQeH4v7r+1jcdTEi5kXg6ZynWNZjGWNhaXJSjiknp+gNfOSwjOMvjmPivxM5M70JRGdH6zVgq6e308GO8y/MV32cR/C0ChJLjfMURanCHLW2e705FS+WFZcKPaWDHDXbuvRVUgqlhWUqMrowR6SQFInwzHC9IoXmZvxNfHPjG51m+ntJ99CldhdWRERqYaqyxdrKOVr7QvahTuU66NegH+v36uTdCQ2rNNRppi+QFOCvJ39hToc5dh2m+9u93+Dq4GoXVRR1CILAx+0+1hn4SFEUll5ZihZeLTCz7UwbrZLDVrAuUoKTg9H1r66YfW42hjcdjqj5UVjYdSHr2SZ8Hh87RuzgPCosMqnVpAqfTE9RFJ6mPsWyq8vgs8UHvfb0wpnoM5jeZjoez36MyHmR+L7v96xMtRHwBDj94WmDyfQc5jO19dR3PpneVAyKFLX0dpIiAUBloC+WFZdq+VLHUlN3qRHEajkpmpWUEllJmelemq1egH6RYkpGSmxuLBp6mCZS4nLjUCIrQasahkXKpFaTsGP4Dmx7uK2MUKEoCveS7rHmR7kQcwEEiDI5ZmwilotxJPwIpraeCj5Pu7+JSQwl0+9+uhsiuciuk89TC1Ox8/FOLO662G6qKOroS6Y/F30OtxNvY+2gtVb5enPYF6yKlDUBa9Dlry6QKqQImBmAfaP3WTWNljPTs4u6mb6iCZXkgmSsCViDFttboP3O9tgTsgfDmwzHnRl3kLgoEesGr0P7Wu1Zn9NOBz5yQoUdNM30nFDRj1QhRXxevNGVFFog7BqxC4CyTYcWLpoY+lnSNM6X+TtFwYHnUCZxXiTT8KRotnupiSp1aOO8NowVKWK5GMkFySaPHw5LDwMAoyopgDLdnBYqSy6/zb6Izo5GVkkWa36U8zHn0a1uN6sGF56JOoM8cR6rrV6aqAuVuefnqoSgglRg64OtmNhiol2budfeWwtnB2d80eULWy9FJ+pC5fiL4wCU3QTLri1Df5/+eK/xezZeoeUUSgptvYRyB6vljF71emHre1sxt+Ncm6XC00Jl9JHReJr2lLUX63cVWqgAylO1Ka2mlNuAJZFMhFORp7A3dC+uxV2DkC/EGN8x2DhkIwb4DLBqz7U6tFCZ8O8EZBRncKOJGYYWKgD3S8QQcblxICkSzTy1e63kpBzFsmLVpp/OSaEPp9yF7qoxxApKwejaSIosNYJYqpDqrKSUaffSUknJLtHtSaFFSi03/X7KxLxEUKBMbvcKywiDp7OnSYd6czrOAUEQpf5t95LugQCBrnW6mnR/Y5DIJbgSewXf9vqW8WvrY1/oPnSp3cUsv58l0EKlUFoIgiBAURTORJ1BfF48jn1gv762tKI07Hi8A8t7LLfpRC9jGNlsJELmhsC3mi8A4K/HfyEyKxIHxx4st/sKmtTCVLT6oxV2vb8LY3zH2Ho55QZWlUOPej3Qox47ZWZT6FmvJ+IXxqOSsBJIioRELlFNneGwHFqokBQJgiCQI8pBVeeqtl6WUVAUhcCkQOwN2YtjL46hQFKAnvV6YueInfigxQd2Uxr39fJF6NxQ8AgeRDIRimXFVj29rOioCxUAeJH5An5efjZckX2ib/wwoOzPB95OyqKrGLQHpUOtDniW/gygUMY/wbOwsE9SJBx4DpCTclW7l+YIYplCBhkpK9vupbF5K5GVQCQX6RUp7kJ3gyZec8cPh2WEoXWN1iZvzOgcFYqicCHmAgISA9CqRitWNqe3E2+jWFaM4U2HM35tXaQVpeHyy8vY9p5txoe7O7nD3ckd2SXZGH98PPLF+ehZr6dRU95sxbp76+DId7TrKoo69Ovunqd7sOjyIkxuNblCBDd+dfUrEATBTZU0Efudlccw9JjCpVeWYtihYVzrF8PwCB4EPAGisqLQcEtDu0+mT8xLxM93fkbT35ui556euBJ3BQu7LETMghjcnXkXs9rPshuBQkNv9D45+wn67evHtX4xDEEovRKhaaFo9UcrrvVLC5FZkXBzdNN5wq+ZOUKP/6V7ySmKAkEQkFNykNDe9mUuFEWBx1P+jKi3e6lXUkpkJQBgsJJCp817uuhu9zLWj+LAc0DtSqa1AoWl65/sZQi6xfm/qP/QvQ47o4HPR59H3cp1LVqnqRx5fgR8Hh8TW0602j21IeAJkFWShadpT62eD2MK6UXp+OPRH1jYZaHV0+Ut5XLsZUgUEuSKck1Oprc3bifcxsGwg/ht4G/l5gDXXnhnRArNWN+xnEeFRZp4NsFY37GYdmqa3QkVsVyMw2GHMWD/ADTY0gBrAtagR90euDHtBuIXxuPHfj+icdXGtl6mQb7t9a0q8JETKszTukZrfNvrW86jooWwjDC0rN5S5wm/ZuaIWC4Gj+CpqiYUQYFH8ODIcyzzXEvbOUiQKiGv3u4lkotAgFBmqMiUr/maI4g1RQodpKqvkmLsZC+fKj4mGX5FMhFicmKMMs3rolPtTlg/aD3yxHmIy4vTOZ7YXCiKwrmYcxjRdIRV23AOhh3EsCbDbL7Rc3dyR6vqreDId8TqgNV6xxPbkg33N0DAE9gsXd5cUgpTcDb6LMY0H4Nrcdcw6cSkcitUZAoZ5l2Yh251umFG2xm2Xk65450TKZyZnl00k+ntQai8yHyBxZcWo/bG2qrJIXtH7UXa0jTsHb0X/Xz62XUAlyaayfScUGEWzkyvm2fpz9C6emudHy9TSZGJ4Cxwfhuu+2avTBBEmZHDFosUilSl2Qv4ApWBXiwXw0ngBIIgtFZSCiQFZaqmtEjRtRlmMyPlReYLkBRpcYWCPnC5EntF53hic4nKjkJcbhyGN7Feq1dUVhQepTzCR60+sto9dZFZnImTESfxTa9v0MyzGQYfGKz6nrEXMosz4R/sjy+6fGFzUWcqq26ugrPAGbtH7ca/E/7FmagzWHF9ha2XZRbbHm5DRFYE/If5l6t9hr3wTn7G1IXKlgdbbL2cCoe6UPnyypeqrARrUiIrwb6Qfei5uydabG+BA2EHMLPtTETMi8CdmXcwve10vQnC9o66UKEnoXAwh7pQ2Re6T+WteJeRKWSIyIzQe8KvWUkRyUVKL8gbkUJSymoH3Vqnjqk5KZooSIVqE0Bfi273oj2I9KGUupekUFrImkgxZ/xwWIZysleL6i1Mep4m95LuoXal2tgxfAdicmJUwZpMcC76HJwFzujv05+xaxriYNhBuAvdreqB0cWuJ7tAEATmd5qPyx9dxl/v/2V3QmDD/Q3gETws7rrY1ksxifCMcOwO2Y2VvVfCw8kDI5uNxNlJZ/Flty9tvTSTSS5Ixqpbq/B5x8/RrlY7Wy+nXGKbkVt2QM96PRE0K8jqE0LeFWihkpSfBDdHN1UvOtuEpIVg1+NdOBh2EPmSfAxsOBBHxx/FqGajVFkNFQU/Lz+EfRamakmRk3KbTdGriNBCZVmPZXB2cC4zFepdIyo7CjJShtY1jK+k0FUMeoNMgVLmpGgRJBRFIafE/NNo9UoKLVbo6V7qk72At5UUiqJQIClQeRZpckQ54BE8rb40iqKQWpRqcLIXRVGIy40zOYAuLD0MDas0tPgQ5V7SPfSo1wNzOs7Bpx0+BY/gISk/CXUq17H4tfhc9DkMaDjAagNoKIrCwbCDGO83XvW1tBUyhQx/PPoDU1pNUXmW6GlNG+9vRJ/6fdDBu4Mtl4iskiz8/vB3LOi8QKevyl5Zdm0ZfDx88Fmnz1TvG9J4CAClx2bD/Q34pf8vNpu2aQpLry6Fi4MLfur/k62XUm55JyspNC2qt4CAJ0DAqwCMPDySa/1iGB7BQ32P+hDLxRh6cChrOSpF0iLserwLnXZ1Qrs/2+Fk5El83ulzvFzwElenXsWEFhMqnECh8XL1AkEQOPL8CDrt6sS1fjEMQRBwc3RDoaQQ7f9s/063fhmT3ZEvyYcj31G1kVS1e73pJ6dAAYT21q5r8dfQf7/5J/MKSqG6Lt3a5Mh3hEgmepuRouFJEclFIClSayWlilMVre0ZBZICiOVig+OBM4ozUCIrMWuyl6WtXmK5GI9SHqFnXeXIfR7BQ544D+13tre49StPnIeAVwFWbfUKeh2EuNw4TGk1xWr31MWpyFN4XfAaCzqXTm6XyCU4Fn5MZzK9Ndl0fxMA4Mvu5av6cCP+Bi7EXMDqAavhyC/rWwtND8XmoM1ak+ntjRvxN3Dk+RGsG7QOHk4etl5OueWdFinq3Ey4yXlUWMKR74jalWozHvgYmRWJhRcXovbG2phzbg6qu1bHfxP/w6tFr/DrgF9NDlArz7Sp0Qaphalc4CNLuDm6YUKLCe+0R+VZ+jPUqVxH75QgTRO61nYv8LRWUrrU7gIhX/thgjGbarqVDHgb9Khq9xIoT/w1Kyn0yGRtIkVX+05aURoAGBQplowftlSkPEp5BKlCWioCwMPJAz/3+1lrMr0pXH55GQpKYVWRcuDZAdSpXMcuxrdue7gNvev3RpuabUq9XygQ6k2mtxY5ohxse7gN8zrNK1dj6kmKxNIrS9G1TleM9xuv9TGDGw3WmUxvT0gVUsy/MB896/XE1NZTbb2ccg0nUsCZ6dmGyWR6OSnHyYiTGLh/IHz9fXH4+WHM6zQP8QvjcX7yeYxuPrpclIGZhkumZxfOTG/c5lkzvZ0WCHS7F0mRoPWJ5ia5qnNVnJ50Wut1NdPltaEg31ZSVJ4UjXYvTU8KLVIqOZZt97JUpMTmxgIAfDx8DK6dJqskC2lFaRZN9gKAe6/uwdXBtUxrnnoyvblC5VzMObSp0QZ13etatEZjkSlkOBp+FJNaTrK58Tg0LRR3X90tU0WhUU+mH/jPQDzPeG7lFSqrKApKgaXdl1r93pZwKOwQnqY9xfpB6/W2I6on03/030eMT65jgq0PtiIqOwr+w/zLfQilreFEyhvUhcrM06b1EHMYRlOoPEt/ZtLz04rS8POdn+GzxQfjjo1DiawEB8YcQNLiJPw64FfU96jP0srLD+pCZcFF7b9EOcxHXaisuL4CkVmRtl6SXvz9/eHn54dOnToxcr1n6c/0+lEA7ZUUJ4HT23Yv6o0nRcsvboIgdG78jdmIKEiFKhBSvd1LrNDtSSmUFAIwrZKSXpwOwLBIic+NRzWXamX8LvqgW+oMfZ4NcS/pHrrW6arVo0YLlX2h+xCfF2/SdRWkAhdjLmJE0xEWrc8ULsdeRrYoGx+1tv1Ur20Pt6FO5ToY3Xy0zsfQQmV6m+kmCVQmyBXlYuvDrfi84+fwcvWy6r0tQSwX49sb32JM8zFGBYDTQuX9pu/bnQhIKUzBD7d/wPxO8y3+OeZ4h43z2uhZrycuTbnESjovx1uhMqrZKKN+eCmKwr2ke/AP9seJFycg4AkwpdUUfN6Jm5ShC18vX9yaccvuJs1UFGih8oHfB2herbmtl6OXefPmYd68eSgoKIC7u2WvaXniPCQVJBlVSVHf8ItkZdu9TIWkSOMqKeqeFLV2L01PipPASXUir6qkaDHO16lcR+t90orS4CRwMhj2mpCXYPImNSwjDEK+0KK8JpIicS/pns7TfkApVMb5jUM1l2qQk3LwCb5Rm70HyQ+QLcq2aqvXwbCDaFW9lc03fNkl2TgYdhAre680OKDE3ckdm4duBqAcKS2Siaxipt/yYAtkClm5q6JsfbAVKYUpuDr1qtHPGdlsJADlPuFY+DGM9R1rF10UX139Ci4OLvih3w+2XkqFgKukaNCjXg+0rN4SJbISLL+2nGv9YhgewcOo5qMAAPtC9mnNURHLxdj9dDfa/tkWvfb0wuOUx1g7aC2SlyRj18hdnEAxQPNqzVHdtTpSC1Mx/th4rvWLYQiCQKsarUBRFFZcW/FOtH49TX0KAGhbs63exxlq96JbsggQZYSHrhHEA/cPxMvslwbXqKAUqv9XiRR+6RHEJbKSUkGOhVLTKylpRWmo6VbT4KY+IT8BDTwaGFy3OuEZ4WherblFU/qis6ORI8pB97r6k+aruVQDRVH48N8PjW79uhhzEZ7Onuhcu7PZ6zOFQkkhTkeetgvD/F9P/gJFUfi0/acmPe+b699YxaOSL87H5qDNmNtxLmq41WD1XkySXZKNX+/+ijkd5qCpZ1OTnx+VHYWp/021i8DHO4l3cCjsEH4b+BtnlmcITqToICorCv7B/pxHhUUCXgWUCnxMLUzFdze/Q91NdfHJmU9Q370+rnx0BZHzI7Go6yK9hl2OstBTeLjAR/Zw4Du8Ex6V4JRguDm6GaweGWr3IqG7kqJLpBRLizH4wGCDa1SQCtU1SFJ5H/UwR/pamkGOgHkixRAJeWaIlMxwi/NRgl4HgQCBLrW7GHwsQRAY1HCQ0R6VS7GXMLjRYPB5fIvWaCz/Rf4HkVyEya0mW+V+upCTcmx/tB2TWk0yuY1q3+h9VjHT+wf7QywX46vuX7F2Dzb46c5PICkSq/qsMuv5zas1VwU+2lKoyEk55l+Yj651umJam2k2WUNFhBMpOmhXqx1npmeZP9//U5VM33N3T9TfXB+bgjZhcsvJiF4QjTOTzmBQo0E2N0uWV3y9fLlkehZ5l8z0D5MfokOtDgY3p/kSDZHyZgRxqUqKDjFC8LS///Sk00aNEJeTclV1gxZD9HQvdU+KepBjgaQAAp6gzFQxS0WKglQgKT/JJJFCURReZL5ACy/LRYqfl5/RbcvGmukzijPwKOURhjYeatH6TOHAswPoU7+P1Uz6ujgTdQav8l/pbaHThaaZng2hUiwtxsb7GzGr3SzUqqQ/v8eeiM2Jxfbg7Vjec7lFHhrao2JLobI9eDueZzzH7+/9zu1ZGIT7TOpBc+qXrUuJFQkFqcCpyFOIyY5R9VB/1PojvF78Glve22JRTzbHW9ST6QcfGAw5Kbf1kioUmkLlePhxWy+JFYJTgo1q8ckT55Vqc6BbrWSkDA48B1VLlinp8jXdauLKR1cMPk5Bvm33or0vQr5QWc3hv/WkqFdSCiXKtHn11i2RTASRXKRfpLjqFympRamQkTKTREpaURpyxbnw8/Iz+jnaCHodhK51upr0HHWhcjLipNbHXI1V+gUGNzJc1WKC1MJUXI+/bjeG+e51u6N9rfZmPZ8WKu1rtUeRtIjh1QF/Pv4T+ZJ8LOuxjPFrs8mK6ytQ3bU6FnVdZPG1aKEilout/nsuvSgdK2+uxOwOs20e5FnR4IzzBqCFSsCrALswZZV38sX5+Pvp39j2cBsS8hLQq14vHP/gOMLSwzCv8zxuaAEL0EIlIjOCS6RnAVqoNKnaBO83e9/Wy2Gc9KJ0vMp/hU7ehqeE5YpyS23u1du9HPmOb4WEFo3C03NmZszpsJx6uzHRbPfS5UkpkBSUGT+cK84FAIsqKQl5CQBgkkh5kfkCACyqpBRJixCWEYb5neeb/Nw5HeegRfUW6FFX+3SlS7GX0K5mO6Na3ZjgyPMjEPAEOjMzrMXzjOe4lXALh8cdtug67k7uuDb1GgiCgJyUIz43Hk08m1i8PrFcjPWB6zG19dRyNeUy6HUQjr84jj2j9pQ6OLCEkc1GqiZ+xebEop57Pavs21ZcXwEBT4Bf+v/C+r3eNbhKihH0rNcTy3suBwCcjz7PtX6ZQUx2DL64+AXqbKqD5deWo1e9Xnj06SPcmXkH4/3G44d+P6C6a3WkFKboPMnjMB8/Lz+M8xsHiqKwJWgL1/rFMARBYGqbqXASOOFp6lNsfbDV1ktijOCUYAAwWEkRy8UQyUWlvGPq7V4OfAezTziNMXWrX5uu2Gi2e5WppEgLtfpRAO0iRUEqkFGcYbRIqe9u/KYxPDMcQr7Q5PBHdR6lPAJJkSZXUmh61usJgiBwOvI0llxeovq8kxSJyy8vW7XV62DYQYxoOsLmBuQ/gv9ATbeaGOs71uJr0RW71XdXo/NfnRlp/drzdA/Si9NVe5TyAEVRWHplKVrXaM142CFBEBDJROi9t7dVAh+DXgdhT8ge/Nr/V3i6eLJ6r3cRTqSYQHZJNiafnMx5VEzgftJ9jDk6Bs1+b4bDzw9jcdfFSFyUiP1j9msti/4R/Ac+OP4Bo8n0HG/JKM7A6oDVXOAji1x6eQkLLy2sMB6VoNdBqO5aHfXc6+l9XK5IWYGo4vRWpGi2e+kTKeb2cdOtY+rtXiqRwjfsSdE2fljz30GTLcqGglIYnJ6UkJeAai7VSt3LEC8yX6B5teYWmdKDXgehkmMl+FbzNfsagDILZlPQJpVH5WnqU2SWZGJIoyEWXddYIrMi8Tj1sc2nehVKCrH/2X582v5TOPIdGbvuF12+YMSjIlPI8Nu93zChxQSzJmPZilORp3Av6R7WDVrHyhAGZwdn/DH8D5yOPM2qR0VBKjD/wny0r9Uen7T/hJV7vOsQ9pjWycHBwcHBDARBVAaQD8CdoqgCW6+Hg4ODg4PDGDiRwsHBwVGBIZQ9JpUAFFLcCz4HBwcHRzmBEykcHBwcHBwcHBwcHHYF50nh4ODg4ODg4ODg4LArOJHCwcHBwcHBwcHBwWFXcCKFg4ODg4ODg4ODg8Ou4EQKBwcHBwcHBwcHB4ddwYkUDg4ODg4ODg4ODg67ghMpHBwcHBwcHBwcHBx2BSdSODg4ODg4ODg4ODjsiv8DcIekSayJjDsAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 66 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += k0.plot(chart=KC, ambient_coords=(r, tt), color='green', \n", " scale=1.5, fontsize=18, label_offset=0.3) \\\n", " + el0.plot(chart=KC, ambient_coords=(r, tt), color='green', \n", " parameters={m: 1}, scale=1.5, fontsize=18,\n", " label_offset=0.25)\n", "graph.save(\"exk_princ_null_geod.pdf\", ymin=-5, ymax=5, figsize=8)\n", "graph.show(ymin=-5, ymax=5, figsize=8)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-r + \\frac{4}{r - 1} - 4 \\, \\log\\left({\\left| r - 1 \\right|}\\right)$$" ], "text/plain": [ "-r + 4/(r - 1) - 4*log(abs(r - 1))" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "umt(r) = u - tt_out(r, u)\n", "umt(r)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot(umt(r), (r, -8, 8), color='red', thickness=2, \n", " axes_labels=[r\"$r/m$\", r\"$(u - \\tilde{t})/m$\"], frame=True, \n", " gridlines=True)\n", "graph += line(((1, -10), (1, 10)), color='black', thickness=1.5, linestyle='--') \n", "show(graph, aspect_ratio=1, ymin=-8, ymax=8)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{2}{r - 1}$$" ], "text/plain": [ "2/(r - 1)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ttphi(r) = 2 / (r - 1)\n", "ttphi(r)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot(ttphi(r), (r, -8, 8), color='red', thickness=2, \n", " axes_labels=[r\"$r/m$\", r\"$\\tilde{\\tilde{\\varphi}} - \\tilde{\\varphi}$\"], \n", " frame=True, gridlines=True)\n", "graph += line(((1, -10), (1, 10)), color='black', thickness=1.5, linestyle='--')\n", "show(graph, aspect_ratio=1, ymin=-8, ymax=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Carter-Penrose diagram" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{4 \\, m}{m - r} - \\frac{r - {\\tilde{t}}}{m} - 4 \\, \\log\\left({\\left| \\frac{m - r}{m} \\right|}\\right)$$" ], "text/plain": [ "-4*m/(m - r) - (r - tt)/m - 4*log(abs((m - r)/m))" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc = (tt - r)/m + 4*m/(r - m) - 4*ln(abs((r - m)/m))\n", "uc " ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{r + {\\tilde{t}}}{m}$$" ], "text/plain": [ "(r + tt)/m" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vc = (tt + r)/m\n", "vc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions $U(\\tilde{t}, r)$ and $V(\\tilde{t}, r)$" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "U(tt, r) = atan(uc/2) + pi*unit_step(m - r)\n", "V(tt, r) = atan(vc/2)\n", "\n", "#U(tt, r) = tanh(uc/4) + 2*unit_step(m - r)\n", "#V(tt, r) = tanh(vc/4)\n", "\n", "#U(tt, r) = atan(asinh(uc))\n", "#V(tt, r) = atan(asinh(vc))\n", "\n", "#U(tt, r) = atan(uc^3)\n", "#V(tt, r) = atan(vc^3)\n", "\n", "#U(tt, r) = atan(real_nth_root(uc, 3))\n", "#V(tt, r) = atan(real_nth_root(vc, 3))" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 6 graphics primitives" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(U(0, r).subs({m: 1}), (r, -15, 10), axes_labels=[r'$r/m$', r'$U, V$'],\n", " legend_label=r'$U\\ (\\tilde{t}=0)$') \\\n", "+ plot(U(m, r).subs({m: 1}), (r, -15, 10), linestyle='--', \n", " legend_label=r'$U\\ (\\tilde{t}=m)$') \\\n", "+ plot(U(-m, r).subs({m: 1}), (r, -15, 10), linestyle=':',\n", " legend_label=r'$U\\ (\\tilde{t}=-m)$') \\\n", "+ plot(V(0, r).subs({m: 1}), (r, -15, 10), color='red',\n", " legend_label=r'$V\\ (\\tilde{t}=0)$') \\\n", "+ plot(V(m, r).subs({m: 1}), (r, -15, 10), color='red', linestyle='--',\n", " legend_label=r'$V\\ (\\tilde{t}=m)$') \\\n", "+ plot(V(-m, r).subs({m: 1}), (r, -15, 10), color='red', linestyle=':',\n", " legend_label=r'$V\\ (\\tilde{t}=-m)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zoom around $r=m$:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(U(0, r).subs({m: 1}), (r, 0.8, 1.2), axes_labels=[r'$r/m$', r'$U$']) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$U = V$ for $r= 2m$:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\arctan\\left(\\frac{2 \\, m + {\\tilde{t}}}{2 \\, m}\\right)$$" ], "text/plain": [ "arctan(1/2*(2*m + tt)/m)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U(tt, 2*m).simplify_full()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}$$" ], "text/plain": [ "True" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bool(_ == V(tt, 2*m))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions $T(\\tilde{t}, r)$ and $X(\\tilde{t}, r)$" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "Tf(tt, r) = U(tt, r) + V(tt, r)\n", "Xf(tt, r) = V(tt, r) - U(tt, r)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 6 graphics primitives" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(Tf(0, r).subs({m: 1}), (r, -15, 10), axes_labels=[r'$r/m$', r'$T, X$'],\n", " legend_label=r'$T\\ (\\tilde{t}=0)$') \\\n", "+ plot(Tf(m, r).subs({m: 1}), (r, -15, 10), linestyle='--', \n", " legend_label=r'$T\\ (\\tilde{t}=m)$') \\\n", "+ plot(Tf(-m, r).subs({m: 1}), (r, -15, 10), linestyle=':',\n", " legend_label=r'$T\\ (\\tilde{t}=-m)$') \\\n", "+ plot(Xf(0, r).subs({m: 1}), (r, -15, 10), color='red',\n", " legend_label=r'$X\\ (\\tilde{t}=0)$') \\\n", "+ plot(Xf(m, r).subs({m: 1}), (r, -15, 10), color='red', linestyle='--',\n", " legend_label=r'$X\\ (\\tilde{t}=m)$') \\\n", "+ plot(Xf(-m, r).subs({m: 1}), (r, -15, 10), color='red', linestyle=':',\n", " legend_label=r'$X\\ (\\tilde{t}=-m)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zoom around $r=m$:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(Tf(0, r).subs({m: 1}), (r, 0.9, 1.1), axes_labels=[r'$r/m$', r'$T$'])" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(diff(Tf(0, r), r).subs({m: 1}), (r, 0.9, 1.1), \n", " axes_labels=[r'$r/m$', r'$\\frac{\\partial T}{\\partial r}$']) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Same value of $X$ for all $\\tilde{t}$ for $r = r_1$:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-2 \\, r + \\frac{4}{r - 1} - 4 \\, \\log\\left(-r + 1\\right)$$" ], "text/plain": [ "-2*r + 4/(r - 1) - 4*log(-r + 1)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = -2*r + 4/(r -1) - 4*ln(1 -r)\n", "s" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-3.4273344950702875$$" ], "text/plain": [ "-3.4273344950702875" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r1 = find_root(s, -4, -3)\n", "r1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compactified coordinates" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,(T, X, {\\theta}, {\\tilde{\\varphi}})\\right)$$" ], "text/plain": [ "Chart (M, (T, X, th, tph))" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CC. = M.chart(r\"T:(-pi,2*pi) X:(-2*pi,pi) th:(0,pi):\\theta tph:(0,2*pi):periodic:\\tilde{\\varphi}\")\n", "CC" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}T :\\ \\left( -\\pi , 2 \\, \\pi \\right) ;\\quad X :\\ \\left( -2 \\, \\pi , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\tilde{\\varphi}} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\mbox{(periodic)}$$" ], "text/plain": [ "T: (-pi, 2*pi); X: (-2*pi, pi); th: (0, pi); tph: [0, 2*pi] (periodic)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CC.coord_range()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\pi \\mathrm{u}\\left(m - r\\right) + \\arctan\\left(-\\frac{2 \\, m}{m - r} - \\frac{r - {\\tilde{t}}}{2 \\, m} - 2 \\, \\log\\left({\\left| \\frac{m - r}{m} \\right|}\\right)\\right) + \\arctan\\left(\\frac{r + {\\tilde{t}}}{2 \\, m}\\right) \\\\ X & = & -\\pi \\mathrm{u}\\left(m - r\\right) - \\arctan\\left(-\\frac{2 \\, m}{m - r} - \\frac{r - {\\tilde{t}}}{2 \\, m} - 2 \\, \\log\\left({\\left| \\frac{m - r}{m} \\right|}\\right)\\right) + \\arctan\\left(\\frac{r + {\\tilde{t}}}{2 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\tilde{\\varphi}} & = & {\\tilde{\\varphi}} \\end{array}\\right.$$" ], "text/plain": [ "T = pi*unit_step(m - r) + arctan(-2*m/(m - r) - 1/2*(r - tt)/m - 2*log(abs((m - r)/m))) + arctan(1/2*(r + tt)/m)\n", "X = -pi*unit_step(m - r) - arctan(-2*m/(m - r) - 1/2*(r - tt)/m - 2*log(abs((m - r)/m))) + arctan(1/2*(r + tt)/m)\n", "th = th\n", "tph = tph" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KC_to_CC = KC.transition_map(CC, [Tf(tt, r), Xf(tt, r), th, tph])\n", "KC_to_CC.display()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph0 = polygon([(0, pi), (-pi, 2*pi), (-2*pi, pi), (-pi, 0)], \n", " color='cornsilk', edgecolor='black') \\\n", " + polygon([(pi, 0), (0, pi), (-pi, 0), (0, -pi)], \n", " color='white', edgecolor='black')\n", "graph0" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "Hor = line([(-pi,0), (0, pi)], color='black', thickness=3) \\\n", " + text(r'$\\mathscr{H}$', (-0.6, 3), color='black', fontsize=20)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "def plot_const_r(r0, color='red', linestyle=':', thickness=1, plot_points=400):\n", " return KC.plot(CC, ambient_coords=(X,T), fixed_coords={th: pi/3, tph: 0, r: r0},\n", " ranges={tt: (-100, 100)}, color=color, style=linestyle,\n", " thickness=thickness, plot_points=plot_points, parameters={m: 1})\n", "\n", "def plot_const_tt(tt0, color='darkgrey', linestyle='-', thickness=1, plot_points=100):\n", " resu = KC.plot(CC, ambient_coords=(X,T), fixed_coords={th: pi/3, tph: 0, tt: tt0},\n", " ranges={r: (-100, -10)}, color=color, style=linestyle,\n", " thickness=thickness, plot_points=plot_points, parameters={m: 1}) \\\n", " + KC.plot(CC, ambient_coords=(X,T), fixed_coords={th: pi/3, tph: 0, tt: tt0},\n", " ranges={r: (-10, 10)}, color=color, style=linestyle,\n", " thickness=thickness, plot_points=plot_points, parameters={m: 1}) \\\n", " + KC.plot(CC, ambient_coords=(X,T), fixed_coords={th: pi/3, tph: 0, tt: tt0},\n", " ranges={r: (10, 100)}, color=color, style=linestyle,\n", " thickness=thickness, plot_points=plot_points, parameters={m: 1})\n", " return resu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot of $r=\\mathrm{const}$ curves:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "graph_r = Graphics()\n", "\n", "rmin, rmax = -10, 0\n", "dr = 2\n", "nr = (rmax - rmin)/dr\n", "for i in range(int(nr)):\n", " ri = rmin + dr*i\n", " graph_r += plot_const_r(ri) " ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "rmin, rmax = 0, 0.8\n", "dr = 0.2\n", "nr = (rmax - rmin)/dr + 1\n", "for i in range(int(nr)):\n", " ri = rmin + dr*i\n", " graph_r += plot_const_r(ri) " ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "rmin, rmax = 1.2, 3\n", "dr = 0.2\n", "nr = (rmax - rmin)/dr + 1\n", "for i in range(int(nr)):\n", " ri = rmin + dr*i\n", " graph_r += plot_const_r(ri) " ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "rmin, rmax = 3, 13\n", "dr = 2\n", "nr = (rmax - rmin)/dr + 1\n", "for i in range(int(nr)):\n", " ri = rmin + dr*i\n", " graph_r += plot_const_r(ri) \n", "graph_r += plot_const_r(0, color='maroon', linestyle='--', thickness=2)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "graph1 = graph0 + plot_const_tt(0, color='darkgrey', thickness=2)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "tmin, tmax = -20, 20\n", "dt = 2\n", "nt = (tmax - tmin)/dt\n", "for i in range(nt):\n", " ti = tmin + dt*i\n", " graph1 += plot_const_tt(ti) " ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 94 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph1 += graph_r + Hor\n", "show(graph1, figsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding some principal null geodesics to the plot:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "graph_PNG = Graphics()\n", "\n", "for L in [inPNG(0, pi/3, 0), inPNG(-4, pi/3, 0), inPNG(4, pi/3, 0)]:\n", " L.expr(chart2=CC)\n", " graph_PNG += L.plot(CC, ambient_coords=(X, T), color='green', style='--', \n", " max_range=100, plot_points=5, parameters={m: 1})\n", " \n", "for L in [outPNG_I(0, pi/3, 0), outPNG_I(-4, pi/3, 0), outPNG_I(4, pi/3, 0)]:\n", " L.expr(chart2=CC)\n", " graph_PNG += L.plot(CC, ambient_coords=(X, T), color='green', \n", " prange=(1.001, 100), plot_points=5, parameters={m: 1})\n", "\n", "for L in [outPNG_III(0, pi/3, 0), outPNG_III(-4, pi/3, 0), outPNG_III(4, pi/3, 0)]:\n", " L.expr(chart2=CC)\n", " graph_PNG += L.plot(CC, ambient_coords=(X, T), color='green', \n", " prange=(-100, 0.999), plot_points=5, parameters={m: 1})" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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