{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Vaidya spacetime\n", "\n", "This Jupyter/SageMath notebook is relative to the lectures\n", "[Geometry and physics of black holes](https://relativite.obspm.fr/blackholes/).\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 10.3.beta1, Release Date: 2023-12-10'" ] }, "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 formatting:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## Spacetime\n", "\n", "We declare the spacetime manifold $M$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [] }, "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 introduce coordinates $(v,r,\\theta,\\varphi)$ analogous to the **ingoing null Eddington-Finkelstein coordinates** in Schwarzschild spacetime, i.e. such that $v$ is constant along ingoing radial null geodesics:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(v, r, {\\theta}, {\\varphi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(v, r, {\\theta}, {\\varphi})\\right)$" ], "text/plain": [ "Chart (M, (v, r, th, ph))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN. = M.chart(r'v r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi:periodic')\n", "XN" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle v :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\varphi} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\text{(periodic)}\\)" ], "text/latex": [ "$\\displaystyle v :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\varphi} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\text{(periodic)}$" ], "text/plain": [ "v: (-oo, +oo); r: (0, +oo); th: (0, pi); ph: [0, 2*pi] (periodic)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Metric tensor\n", "\n", "The metric tensor corresponding to the Vaidya solution is:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = \\left( \\frac{2 \\, m\\left(v\\right)}{r} - 1 \\right) \\mathrm{d} v\\otimes \\mathrm{d} v +\\mathrm{d} v\\otimes \\mathrm{d} r +\\mathrm{d} r\\otimes \\mathrm{d} v + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}\\)" ], "text/latex": [ "$\\displaystyle g = \\left( \\frac{2 \\, m\\left(v\\right)}{r} - 1 \\right) \\mathrm{d} v\\otimes \\mathrm{d} v +\\mathrm{d} v\\otimes \\mathrm{d} r +\\mathrm{d} r\\otimes \\mathrm{d} v + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}$" ], "text/plain": [ "g = (2*m(v)/r - 1) dv⊗dv + dv⊗dr + dr⊗dv + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = function('m')\n", "g = M.metric()\n", "g[0,0] = -(1 - 2*m(v)/r)\n", "g[0,1] = 1\n", "g[2,2] = r^2\n", "g[3,3] = (r*sin(th))^2\n", "g.display()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g^{-1} = \\frac{\\partial}{\\partial v }\\otimes \\frac{\\partial}{\\partial r }+\\frac{\\partial}{\\partial r }\\otimes \\frac{\\partial}{\\partial v } + \\left( \\frac{r - 2 \\, m\\left(v\\right)}{r} \\right) \\frac{\\partial}{\\partial r }\\otimes \\frac{\\partial}{\\partial r } + \\frac{1}{r^{2}} \\frac{\\partial}{\\partial {\\theta} }\\otimes \\frac{\\partial}{\\partial {\\theta} } + \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}} \\frac{\\partial}{\\partial {\\varphi} }\\otimes \\frac{\\partial}{\\partial {\\varphi} }\\)" ], "text/latex": [ "$\\displaystyle g^{-1} = \\frac{\\partial}{\\partial v }\\otimes \\frac{\\partial}{\\partial r }+\\frac{\\partial}{\\partial r }\\otimes \\frac{\\partial}{\\partial v } + \\left( \\frac{r - 2 \\, m\\left(v\\right)}{r} \\right) \\frac{\\partial}{\\partial r }\\otimes \\frac{\\partial}{\\partial r } + \\frac{1}{r^{2}} \\frac{\\partial}{\\partial {\\theta} }\\otimes \\frac{\\partial}{\\partial {\\theta} } + \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}} \\frac{\\partial}{\\partial {\\varphi} }\\otimes \\frac{\\partial}{\\partial {\\varphi} }$" ], "text/plain": [ "inv_g = ∂/∂v⊗∂/∂r + ∂/∂r⊗∂/∂v + (r - 2*m(v))/r ∂/∂r⊗∂/∂r + r^(-2) ∂/∂th⊗∂/∂th + 1/(r^2*sin(th)^2) ∂/∂ph⊗∂/∂ph" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.inverse().display()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(\\begin{array}{rrrr}\n", "0 & 1 & 0 & 0 \\\\\n", "1 & \\frac{r - 2 \\, m\\left(v\\right)}{r} & 0 & 0 \\\\\n", "0 & 0 & \\frac{1}{r^{2}} & 0 \\\\\n", "0 & 0 & 0 & \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}}\n", "\\end{array}\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(\\begin{array}{rrrr}\n", "0 & 1 & 0 & 0 \\\\\n", "1 & \\frac{r - 2 \\, m\\left(v\\right)}{r} & 0 & 0 \\\\\n", "0 & 0 & \\frac{1}{r^{2}} & 0 \\\\\n", "0 & 0 & 0 & \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}}\n", "\\end{array}\\right)$" ], "text/plain": [ "[ 0 1 0 0]\n", "[ 1 (r - 2*m(v))/r 0 0]\n", "[ 0 0 r^(-2) 0]\n", "[ 0 0 0 1/(r^2*sin(th)^2)]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.inverse()[:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Curvature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Ricci tensor is" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{Ric}\\left(g\\right) = \\frac{2 \\, \\frac{\\partial\\,m}{\\partial v}}{r^{2}} \\mathrm{d} v\\otimes \\mathrm{d} v\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{Ric}\\left(g\\right) = \\frac{2 \\, \\frac{\\partial\\,m}{\\partial v}}{r^{2}} \\mathrm{d} v\\otimes \\mathrm{d} v$" ], "text/plain": [ "Ric(g) = 2*d(m)/dv/r^2 dv⊗dv" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric = g.ricci()\n", "Ric.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It has zero trace, i.e. the Ricci scalar vanishes:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle 0\\)" ], "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.ricci_scalar().expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Riemann tensor:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{lcl} \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, v \\, v \\, r }^{ \\, v \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, r} } & = & \\frac{2 \\, m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, {\\theta} \\, v \\, {\\theta} }^{ \\, v \\phantom{\\, {\\theta}} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & -\\frac{m\\left(v\\right)}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, {\\varphi} \\, v \\, {\\varphi} }^{ \\, v \\phantom{\\, {\\varphi}} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & -\\frac{m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, v \\, v \\, r }^{ \\, r \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, r} } & = & \\frac{2 \\, {\\left(r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}\\right)}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, r \\, v \\, r }^{ \\, r \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, r} } & = & -\\frac{2 \\, m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\theta} \\, v \\, {\\theta} }^{ \\, r \\phantom{\\, {\\theta}} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & \\frac{\\partial\\,m}{\\partial v} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\theta} \\, r \\, {\\theta} }^{ \\, r \\phantom{\\, {\\theta}} \\phantom{\\, r} \\phantom{\\, {\\theta}} } & = & -\\frac{m\\left(v\\right)}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\varphi} \\, v \\, {\\varphi} }^{ \\, r \\phantom{\\, {\\varphi}} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & \\sin\\left({\\theta}\\right)^{2} \\frac{\\partial\\,m}{\\partial v} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\varphi} \\, r \\, {\\varphi} }^{ \\, r \\phantom{\\, {\\varphi}} \\phantom{\\, r} \\phantom{\\, {\\varphi}} } & = & -\\frac{m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, v \\, v \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & -\\frac{r^{2} \\frac{\\partial\\,m}{\\partial v} + r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, v \\, r \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, v} \\phantom{\\, r} \\phantom{\\, {\\theta}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, r \\, v \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, {\\varphi} \\, {\\theta} \\, {\\varphi} }^{ \\, {\\theta} \\phantom{\\, {\\varphi}} \\phantom{\\, {\\theta}} \\phantom{\\, {\\varphi}} } & = & \\frac{2 \\, m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, v \\, v \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & -\\frac{r^{2} \\frac{\\partial\\,m}{\\partial v} + r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, v \\, r \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, v} \\phantom{\\, r} \\phantom{\\, {\\varphi}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, r \\, v \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, {\\theta} \\, {\\theta} \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, {\\theta}} \\phantom{\\, {\\theta}} \\phantom{\\, {\\varphi}} } & = & -\\frac{2 \\, m\\left(v\\right)}{r} \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{lcl} \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, v \\, v \\, r }^{ \\, v \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, r} } & = & \\frac{2 \\, m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, {\\theta} \\, v \\, {\\theta} }^{ \\, v \\phantom{\\, {\\theta}} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & -\\frac{m\\left(v\\right)}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, v} \\, {\\varphi} \\, v \\, {\\varphi} }^{ \\, v \\phantom{\\, {\\varphi}} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & -\\frac{m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, v \\, v \\, r }^{ \\, r \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, r} } & = & \\frac{2 \\, {\\left(r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}\\right)}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, r \\, v \\, r }^{ \\, r \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, r} } & = & -\\frac{2 \\, m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\theta} \\, v \\, {\\theta} }^{ \\, r \\phantom{\\, {\\theta}} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & \\frac{\\partial\\,m}{\\partial v} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\theta} \\, r \\, {\\theta} }^{ \\, r \\phantom{\\, {\\theta}} \\phantom{\\, r} \\phantom{\\, {\\theta}} } & = & -\\frac{m\\left(v\\right)}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\varphi} \\, v \\, {\\varphi} }^{ \\, r \\phantom{\\, {\\varphi}} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & \\sin\\left({\\theta}\\right)^{2} \\frac{\\partial\\,m}{\\partial v} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, r} \\, {\\varphi} \\, r \\, {\\varphi} }^{ \\, r \\phantom{\\, {\\varphi}} \\phantom{\\, r} \\phantom{\\, {\\varphi}} } & = & -\\frac{m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, v \\, v \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & -\\frac{r^{2} \\frac{\\partial\\,m}{\\partial v} + r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, v \\, r \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, v} \\phantom{\\, r} \\phantom{\\, {\\theta}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, r \\, v \\, {\\theta} }^{ \\, {\\theta} \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, {\\theta}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\theta}} \\, {\\varphi} \\, {\\theta} \\, {\\varphi} }^{ \\, {\\theta} \\phantom{\\, {\\varphi}} \\phantom{\\, {\\theta}} \\phantom{\\, {\\varphi}} } & = & \\frac{2 \\, m\\left(v\\right) \\sin\\left({\\theta}\\right)^{2}}{r} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, v \\, v \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, v} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & -\\frac{r^{2} \\frac{\\partial\\,m}{\\partial v} + r m\\left(v\\right) - 2 \\, m\\left(v\\right)^{2}}{r^{4}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, v \\, r \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, v} \\phantom{\\, r} \\phantom{\\, {\\varphi}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, r \\, v \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, r} \\phantom{\\, v} \\phantom{\\, {\\varphi}} } & = & \\frac{m\\left(v\\right)}{r^{3}} \\\\ \\mathrm{Riem}\\left(g\\right)_{ \\phantom{\\, {\\varphi}} \\, {\\theta} \\, {\\theta} \\, {\\varphi} }^{ \\, {\\varphi} \\phantom{\\, {\\theta}} \\phantom{\\, {\\theta}} \\phantom{\\, {\\varphi}} } & = & -\\frac{2 \\, m\\left(v\\right)}{r} \\end{array}$" ], "text/plain": [ "Riem(g)^v_v,v,r = 2*m(v)/r^3 \n", "Riem(g)^v_th,v,th = -m(v)/r \n", "Riem(g)^v_ph,v,ph = -m(v)*sin(th)^2/r \n", "Riem(g)^r_v,v,r = 2*(r*m(v) - 2*m(v)^2)/r^4 \n", "Riem(g)^r_r,v,r = -2*m(v)/r^3 \n", "Riem(g)^r_th,v,th = d(m)/dv \n", "Riem(g)^r_th,r,th = -m(v)/r \n", "Riem(g)^r_ph,v,ph = sin(th)^2*d(m)/dv \n", "Riem(g)^r_ph,r,ph = -m(v)*sin(th)^2/r \n", "Riem(g)^th_v,v,th = -(r^2*d(m)/dv + r*m(v) - 2*m(v)^2)/r^4 \n", "Riem(g)^th_v,r,th = m(v)/r^3 \n", "Riem(g)^th_r,v,th = m(v)/r^3 \n", "Riem(g)^th_ph,th,ph = 2*m(v)*sin(th)^2/r \n", "Riem(g)^ph_v,v,ph = -(r^2*d(m)/dv + r*m(v) - 2*m(v)^2)/r^4 \n", "Riem(g)^ph_v,r,ph = m(v)/r^3 \n", "Riem(g)^ph_r,v,ph = m(v)/r^3 \n", "Riem(g)^ph_th,th,ph = -2*m(v)/r " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Riem = g.riemann()\n", "Riem.display_comp(only_nonredundant=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Kretschmann scalar $K = R_{abcd} R^{abcd}$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{48 \\, m\\left(v\\right)^{2}}{r^{6}}\\)" ], "text/latex": [ "$\\displaystyle \\frac{48 \\, m\\left(v\\right)^{2}}{r^{6}}$" ], "text/plain": [ "48*m(v)^2/r^6" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K = Riem.down(g)['_{abcd}'] * Riem.up(g)['^{abcd}']\n", "K.expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wave vector $k$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M, \\left(\\mathrm{d} v,\\mathrm{d} r,\\mathrm{d} {\\theta},\\mathrm{d} {\\varphi}\\right)\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M, \\left(\\mathrm{d} v,\\mathrm{d} r,\\mathrm{d} {\\theta},\\mathrm{d} {\\varphi}\\right)\\right)$" ], "text/plain": [ "Coordinate coframe (M, (dv,dr,dth,dph))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN.coframe()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{d} v = \\mathrm{d} v\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{d} v = \\mathrm{d} v$" ], "text/plain": [ "dv = dv" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dv = XN.coframe()[0]\n", "dv.display()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle k = -\\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle k = -\\frac{\\partial}{\\partial r }$" ], "text/plain": [ "k = -∂/∂r" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k = - dv.up(g)\n", "k.set_name('k')\n", "k.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that 𝑘 is a null vector:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle 0\\)" ], "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g(k, k).expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that $k$ is a geodesic vector field, i.e. fulfils $\\nabla_k k = 0$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle 0\\)" ], "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nabla = g.connection()\n", "acc = nabla(k).contract(k)\n", "acc.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Homethetic Killing vector for $m(v) = (m_0/v_0) v$:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = v \\frac{\\partial}{\\partial v } + r \\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle \\xi = v \\frac{\\partial}{\\partial v } + r \\frac{\\partial}{\\partial r }$" ], "text/plain": [ "xi = v ∂/∂v + r ∂/∂r" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi = M.vector_field(v, r, 0, 0, name='xi', \n", " latex_name=r'\\xi')\n", "xi.display()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{2 \\, {\\left(v \\frac{\\partial\\,m}{\\partial v} - m\\left(v\\right)\\right)}}{r} \\mathrm{d} v\\otimes \\mathrm{d} v\\)" ], "text/latex": [ "$\\displaystyle \\frac{2 \\, {\\left(v \\frac{\\partial\\,m}{\\partial v} - m\\left(v\\right)\\right)}}{r} \\mathrm{d} v\\otimes \\mathrm{d} v$" ], "text/plain": [ "2*(v*d(m)/dv - m(v))/r dv⊗dv" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lg = g.lie_derivative(xi) - 2*g\n", "Lg.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If $m(v)$ is a linear function, the above result is identically zero, showing that \n", "$\\mathcal{L}_{\\xi} g = 2 g$ in that case, i.e. that $\\xi$ is a homethetic Killing vector. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ingoing Eddington-Finkelstein coordinates $(t,r,\\theta,\\varphi)$ \n", "\n", "Let us introduce a new chart $(t,r,\\theta,\\varphi)$ such that the advanced time $t+r$ is $v$: $v = t + r$; this is the \n", "analog of **ingoing Eddington-Finkelstein (IEF) coordinates** in Schwarzschild spacetime." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(t, r, {\\theta}, {\\varphi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(t, r, {\\theta}, {\\varphi})\\right)$" ], "text/plain": [ "Chart (M, (t, r, th, ph))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X. = M.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi:periodic')\n", "X" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle t :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\varphi} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\text{(periodic)}\\)" ], "text/latex": [ "$\\displaystyle t :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\varphi} :\\ \\left[ 0 , 2 \\, \\pi \\right] \\text{(periodic)}$" ], "text/plain": [ "t: (-oo, +oo); r: (0, +oo); th: (0, pi); ph: [0, 2*pi] (periodic)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We declare the transition map between the $(t,r,\\theta,\\varphi)$ and $(v,r,\\theta,\\varphi)$ coordinates:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} v & = & r + t \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} v & = & r + t \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$" ], "text/plain": [ "v = r + t\n", "r = r\n", "th = th\n", "ph = ph" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_to_XN = X.transition_map(XN, (t + r, r, th, ph))\n", "X_to_XN.display()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & -r + v \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & -r + v \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$" ], "text/plain": [ "t = -r + v\n", "r = r\n", "th = th\n", "ph = ph" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_to_XN.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expression of the metric tensor in the IEF coordinates:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = \\left( -\\frac{r - 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} r\\otimes \\mathrm{d} t + \\left( \\frac{r + 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}\\)" ], "text/latex": [ "$\\displaystyle g = \\left( -\\frac{r - 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} r\\otimes \\mathrm{d} t + \\left( \\frac{r + 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}$" ], "text/plain": [ "g = -(r - 2*m(r + t))/r dt⊗dt + 2*m(r + t)/r dt⊗dr + 2*m(r + t)/r dr⊗dt + (r + 2*m(r + t))/r dr⊗dr + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From now on, we set the IEF chart `X` to be the default one on $M$:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "M.set_default_chart(X)\n", "M.set_default_frame(X.frame())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then `g.display(X)` can be substituted by `g.display()`:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = \\left( -\\frac{r - 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} r\\otimes \\mathrm{d} t + \\left( \\frac{r + 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}\\)" ], "text/latex": [ "$\\displaystyle g = \\left( -\\frac{r - 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, m\\left(r + t\\right)}{r} \\mathrm{d} r\\otimes \\mathrm{d} t + \\left( \\frac{r + 2 \\, m\\left(r + t\\right)}{r} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\varphi}\\otimes \\mathrm{d} {\\varphi}$" ], "text/plain": [ "g = -(r - 2*m(r + t))/r dt⊗dt + 2*m(r + t)/r dt⊗dr + 2*m(r + t)/r dr⊗dt + (r + 2*m(r + t))/r dr⊗dr + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(\\begin{array}{rrrr}\n", "-\\frac{r + 2 \\, m\\left(r + t\\right)}{r} & \\frac{2 \\, m\\left(r + t\\right)}{r} & 0 & 0 \\\\\n", "\\frac{2 \\, m\\left(r + t\\right)}{r} & \\frac{r - 2 \\, m\\left(r + t\\right)}{r} & 0 & 0 \\\\\n", "0 & 0 & \\frac{1}{r^{2}} & 0 \\\\\n", "0 & 0 & 0 & \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}}\n", "\\end{array}\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(\\begin{array}{rrrr}\n", "-\\frac{r + 2 \\, m\\left(r + t\\right)}{r} & \\frac{2 \\, m\\left(r + t\\right)}{r} & 0 & 0 \\\\\n", "\\frac{2 \\, m\\left(r + t\\right)}{r} & \\frac{r - 2 \\, m\\left(r + t\\right)}{r} & 0 & 0 \\\\\n", "0 & 0 & \\frac{1}{r^{2}} & 0 \\\\\n", "0 & 0 & 0 & \\frac{1}{r^{2} \\sin\\left({\\theta}\\right)^{2}}\n", "\\end{array}\\right)$" ], "text/plain": [ "[-(r + 2*m(r + t))/r 2*m(r + t)/r 0 0]\n", "[ 2*m(r + t)/r (r - 2*m(r + t))/r 0 0]\n", "[ 0 0 r^(-2) 0]\n", "[ 0 0 0 1/(r^2*sin(th)^2)]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.inverse()[:]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = t \\frac{\\partial}{\\partial t } + r \\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle \\xi = t \\frac{\\partial}{\\partial t } + r \\frac{\\partial}{\\partial r }$" ], "text/plain": [ "xi = t ∂/∂t + r ∂/∂r" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Einstein equation\n", "\n", "The Ricci tensor in terms of the IEF coordinates:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{Ric}\\left(g\\right) = \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} t + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} r\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{Ric}\\left(g\\right) = \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} t + \\frac{2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} r$" ], "text/plain": [ "Ric(g) = 2*d(m)/d(r + t)/r^2 dt⊗dt + 2*d(m)/d(r + t)/r^2 dt⊗dr + 2*d(m)/d(r + t)/r^2 dr⊗dt + 2*d(m)/d(r + t)/r^2 dr⊗dr" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The notation $\\frac{\\partial m}{\\partial(r+t)}$ to denote $\\frac{\\mathrm{d}m}{\\mathrm{d}v}$ is quite unfortunate (this shall be improved in a future version). The display of the corresponding symbolic expression is slightly better, $\\mathrm{D}_0(m)$ standing for the derivative of function $m$ with respect to its first (index $0$) and unique argument, i.e. $\\mathrm{D}_0(m) = \\frac{\\mathrm{d}m}{\\mathrm{d}v}$:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{2 \\, \\mathrm{D}_{0}\\left(m\\right)\\left(r + t\\right)}{r^{2}}\\)" ], "text/latex": [ "$\\displaystyle \\frac{2 \\, \\mathrm{D}_{0}\\left(m\\right)\\left(r + t\\right)}{r^{2}}$" ], "text/plain": [ "2*D[0](m)(r + t)/r^2" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric[0,0].expr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Ricci scalar is vanishing:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\mathrm{r}\\left(g\\right):& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(v, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\\\ & \\left(t, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\mathrm{r}\\left(g\\right):& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(v, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\\\ & \\left(t, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\end{array}$" ], "text/plain": [ "r(g): M → ℝ\n", " (v, r, th, ph) ↦ 0\n", " (t, r, th, ph) ↦ 0" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.ricci_scalar().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy-momentum vector ensuring that the Einstein equation is fulfilled is then:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle T = \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} t + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} r\\)" ], "text/latex": [ "$\\displaystyle T = \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} t\\otimes \\mathrm{d} r + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} t + \\frac{\\frac{\\partial\\,m}{\\partial \\left( r + t \\right)}}{4 \\, \\pi r^{2}} \\mathrm{d} r\\otimes \\mathrm{d} r$" ], "text/plain": [ "T = 1/4*d(m)/d(r + t)/(pi*r^2) dt⊗dt + 1/4*d(m)/d(r + t)/(pi*r^2) dt⊗dr + 1/4*d(m)/d(r + t)/(pi*r^2) dr⊗dt + 1/4*d(m)/d(r + t)/(pi*r^2) dr⊗dr" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "T = 1/(8*pi)*Ric\n", "T.set_name('T')\n", "T.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since $v=t+r$, we have $\\mathrm{d}v = \\mathrm{d}t + \\mathrm{d}r$:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{d} v = \\mathrm{d} t+\\mathrm{d} r\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{d} v = \\mathrm{d} t+\\mathrm{d} r$" ], "text/plain": [ "dv = dt + dr" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dv.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The derivative of the function $m(v)$:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{\\partial}{\\partial v}m\\left(v\\right)\\)" ], "text/latex": [ "$\\displaystyle \\frac{\\partial}{\\partial v}m\\left(v\\right)$" ], "text/plain": [ "diff(m(v), v)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mp(v) = diff(m(v), v)\n", "mp(v)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{True}\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{True}$" ], "text/plain": [ "True" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "T == 1/(4*pi)*mp(t+r)/r^2 * dv*dv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The future-directed null vector along the ingoing null geodesics:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle k = \\frac{\\partial}{\\partial t }-\\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle k = \\frac{\\partial}{\\partial t }-\\frac{\\partial}{\\partial r }$" ], "text/plain": [ "k = ∂/∂t - ∂/∂r" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Outgoing radial null geodesics\n", "\n", "Let us consider the vector field:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\ell = \\frac{\\partial}{\\partial t } + \\left( \\frac{r - 2 \\, m\\left(r + t\\right)}{r + 2 \\, m\\left(r + t\\right)} \\right) \\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle \\ell = \\frac{\\partial}{\\partial t } + \\left( \\frac{r - 2 \\, m\\left(r + t\\right)}{r + 2 \\, m\\left(r + t\\right)} \\right) \\frac{\\partial}{\\partial r }$" ], "text/plain": [ "l = ∂/∂t + (r - 2*m(r + t))/(r + 2*m(r + t)) ∂/∂r" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = M.vector_field(1, (r - 2*m(t+r))/(r+2*m(t+r)), 0, 0, \n", " name='l', latex_name=r'\\ell')\n", "l.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is a null vector:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} g\\left(\\ell,\\ell\\right):& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(v, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\\\ & \\left(t, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} g\\left(\\ell,\\ell\\right):& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(v, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\\\ & \\left(t, r, {\\theta}, {\\varphi}\\right) & \\longmapsto & 0 \\end{array}$" ], "text/plain": [ "g(l,l): M → ℝ\n", " (v, r, th, ph) ↦ 0\n", " (t, r, th, ph) ↦ 0" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g(l,l).display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Moreover $\\ell$ is a pregeodesic vector field, i.e. it obeys $\\nabla_\\ell \\ell = \\kappa \\ell$:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left( -\\frac{4 \\, {\\left(r \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - m\\left(r + t\\right)\\right)}}{r^{2} + 4 \\, r m\\left(r + t\\right) + 4 \\, m\\left(r + t\\right)^{2}} \\right) \\frac{\\partial}{\\partial t } + \\left( \\frac{4 \\, {\\left(r {\\left(2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} + 1\\right)} m\\left(r + t\\right) - r^{2} \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - 2 \\, m\\left(r + t\\right)^{2}\\right)}}{r^{3} + 6 \\, r^{2} m\\left(r + t\\right) + 12 \\, r m\\left(r + t\\right)^{2} + 8 \\, m\\left(r + t\\right)^{3}} \\right) \\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle \\left( -\\frac{4 \\, {\\left(r \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - m\\left(r + t\\right)\\right)}}{r^{2} + 4 \\, r m\\left(r + t\\right) + 4 \\, m\\left(r + t\\right)^{2}} \\right) \\frac{\\partial}{\\partial t } + \\left( \\frac{4 \\, {\\left(r {\\left(2 \\, \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} + 1\\right)} m\\left(r + t\\right) - r^{2} \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - 2 \\, m\\left(r + t\\right)^{2}\\right)}}{r^{3} + 6 \\, r^{2} m\\left(r + t\\right) + 12 \\, r m\\left(r + t\\right)^{2} + 8 \\, m\\left(r + t\\right)^{3}} \\right) \\frac{\\partial}{\\partial r }$" ], "text/plain": [ "-4*(r*d(m)/d(r + t) - m(r + t))/(r^2 + 4*r*m(r + t) + 4*m(r + t)^2) ∂/∂t + 4*(r*(2*d(m)/d(r + t) + 1)*m(r + t) - r^2*d(m)/d(r + t) - 2*m(r + t)^2)/(r^3 + 6*r^2*m(r + t) + 12*r*m(r + t)^2 + 8*m(r + t)^3) ∂/∂r" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acc = nabla(l).contract(l)\n", "acc.display()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle -\\frac{4 \\, {\\left(r \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - m\\left(r + t\\right)\\right)}}{r^{2} + 4 \\, r m\\left(r + t\\right) + 4 \\, m\\left(r + t\\right)^{2}}\\)" ], "text/latex": [ "$\\displaystyle -\\frac{4 \\, {\\left(r \\frac{\\partial\\,m}{\\partial \\left( r + t \\right)} - m\\left(r + t\\right)\\right)}}{r^{2} + 4 \\, r m\\left(r + t\\right) + 4 \\, m\\left(r + t\\right)^{2}}$" ], "text/plain": [ "-4*(r*d(m)/d(r + t) - m(r + t))/(r^2 + 4*r*m(r + t) + 4*m(r + t)^2)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kappa = acc[0]/l[0]\n", "kappa " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{True}\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{True}$" ], "text/plain": [ "True" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acc == kappa*l" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Integration of the outgoing radial null geodesics\n", "\n", "The outgoing radial null geodesics are the field lines of $\\ell$; they thus obey to\n", "$$ \\frac{\\mathrm{d}r}{\\mathrm{d}t} = \\frac{\\ell^r}{\\ell^t}.$$\n", "Hence the value of $\\frac{\\mathrm{d}r}{\\mathrm{d}t}$:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{r - 2 \\, m\\left(r + t\\right)}{r + 2 \\, m\\left(r + t\\right)}\\)" ], "text/latex": [ "$\\displaystyle \\frac{r - 2 \\, m\\left(r + t\\right)}{r + 2 \\, m\\left(r + t\\right)}$" ], "text/plain": [ "(r - 2*m(r + t))/(r + 2*m(r + t))" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "drdt = (l[1] / l[0]).expr()\n", "drdt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice of function $m(v)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us choose a simple function $m(v)$, based on one of the following smoothstep functions:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "S0(x) = x\n", "S1(x) = -2*x^3 + 3*x^2\n", "S2(x) = 6*x^5 - 15*x^4 + 10*x^3\n", "\n", "S(x) = S0(x)\n", "#S(x) = S2(x)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{1}{4} \\, {\\left(\\frac{v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + v_{0}\\right) + 1\\right)}}{v_{0}} + 2 \\, \\mathrm{sgn}\\left(v - v_{0}\\right) + 2\\right)} m_{0}\\)" ], "text/latex": [ "$\\displaystyle \\frac{1}{4} \\, {\\left(\\frac{v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + v_{0}\\right) + 1\\right)}}{v_{0}} + 2 \\, \\mathrm{sgn}\\left(v - v_{0}\\right) + 2\\right)} m_{0}$" ], "text/plain": [ "1/4*(v*(sgn(v) + 1)*(sgn(-v + v_0) + 1)/v_0 + 2*sgn(v - v_0) + 2)*m_0" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m_0 = var('m_0')\n", "v_0 = var('v_0')\n", "\n", "h(v) = (1+sgn(v))/2 # the Heaviside function\n", "\n", "mS(v) = m_0*(h(v)*h(v_0 - v)*S(v/v_0) + h(v - v_0))\n", "mS(v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*NB:* we don't use Sage's predefined `heaviside` function, since it is incompatible with SciPy numerical integrators. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case of singularity entirely hidden under the event horizon\n", "\n", "The singularity is entirely hidden under the event horizon for large energy densities of the radiation shell, i.e. for small values of the \n", "shell width $v_0$. The precise criterion is $v_0 < 16 m$ for $S(x) = S_0(x)$. We select here $v_0 = 3m$:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "v0 = 3" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{1}{12} \\, v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + 3\\right) + 1\\right)} + \\frac{1}{2} \\, \\mathrm{sgn}\\left(v - 3\\right) + \\frac{1}{2}\\)" ], "text/latex": [ "$\\displaystyle \\frac{1}{12} \\, v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + 3\\right) + 1\\right)} + \\frac{1}{2} \\, \\mathrm{sgn}\\left(v - 3\\right) + \\frac{1}{2}$" ], "text/plain": [ "1/12*v*(sgn(v) + 1)*(sgn(-v + 3) + 1) + 1/2*sgn(v - 3) + 1/2" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m_num(v) = mS(v).subs({m_0: 1, v_0: v0})\n", "m_num(v)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 4 graphics primitives" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph = plot(m_num(v), (v, -v0, 2*v0), color='blue', \n", " legend_label=r'$S(x) = x$', thickness=3,\n", " axes_labels=[r'$v/m$', r'$M(v)/m$'],\n", " frame=True, axes=False, gridlines=True)\n", "graph += plot(S2(v/v0) , (v, 0, v0), color='red',\n", " legend_label=r'$S(x) = 6x^5 - 15x^4 + 10x^3$', \n", " thickness=3) \n", "graph += line([(v0, 0), (v0, 1)], linestyle='--', color='grey')\n", "graph += text(r'$v_0$', (v0, -0.08), color='black', fontsize=16)\n", "graph.set_axes_range(ymin=0)\n", "graph.save(\"vai_mass_function.pdf\")\n", "graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Numerical integration of the outgoing radial null geodesics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plug the function $m(v)$ into the expression of $\\frac{\\mathrm{d}r}{\\mathrm{d}t}$ along\n", "the outgoing radial null geodesics found above:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle -\\frac{{\\left(r + t\\right)} {\\left(\\mathrm{sgn}\\left(r + t\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-r - t + 3\\right) + 1\\right)} - 6 \\, r + 6 \\, \\mathrm{sgn}\\left(r + t - 3\\right) + 6}{{\\left(r + t\\right)} {\\left(\\mathrm{sgn}\\left(r + t\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-r - t + 3\\right) + 1\\right)} + 6 \\, r + 6 \\, \\mathrm{sgn}\\left(r + t - 3\\right) + 6}\\)" ], "text/latex": [ "$\\displaystyle -\\frac{{\\left(r + t\\right)} {\\left(\\mathrm{sgn}\\left(r + t\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-r - t + 3\\right) + 1\\right)} - 6 \\, r + 6 \\, \\mathrm{sgn}\\left(r + t - 3\\right) + 6}{{\\left(r + t\\right)} {\\left(\\mathrm{sgn}\\left(r + t\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-r - t + 3\\right) + 1\\right)} + 6 \\, r + 6 \\, \\mathrm{sgn}\\left(r + t - 3\\right) + 6}$" ], "text/plain": [ "-((r + t)*(sgn(r + t) + 1)*(sgn(-r - t + 3) + 1) - 6*r + 6*sgn(r + t - 3) + 6)/((r + t)*(sgn(r + t) + 1)*(sgn(-r - t + 3) + 1) + 6*r + 6*sgn(r + t - 3) + 6)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "drdt1 = drdt.substitute_function(m, m_num)\n", "drdt1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and we perform a numerical integration: " ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "fdrdt = fast_callable(drdt1, vars=[t, r])" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "from scipy.integrate import ode\n", "\n", "def solve_ode(t0, t1, r0=0.001, dt=0.02):\n", " t0 = RDF(t0)\n", " t1 = RDF(t1)\n", " r0 = RDF(r0)\n", " dt = RDF(dt)\n", " forward = 1 if t1 > t0 else -1\n", " rd = ode(solve_ode.rhs)\n", " rd.set_initial_value(r0, t0)\n", " rd.set_integrator('dopri5')\n", " sol = []\n", " ts = t0\n", " rs = r0\n", " while rd.successful() and forward*ts < forward*t1 and rs > 0:\n", " sol.append((ts, rs))\n", " ts = rd.t + forward*dt\n", " rs = RDF(rd.integrate(ts)[0])\n", " return sol\n", "\n", "solve_ode.rhs = fdrdt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot parameters:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "tmax = v0 + 1.5\n", "ymin = -4\n", "ymax = tmax - 0.5\n", "rmax = 6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Outgoing radial null geodesics from the Minkowski region:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "def geod_line(sol):\n", " return line([(s[1], s[0]) for s in sol], color='green')\n", "\n", "def outgeods_from_Mink(t0, tmax, dt0, t0_max=0):\n", " geods = []\n", " print('t0 : ', end='')\n", " while t0 < t0_max:\n", " sol = solve_ode(t0, tmax, r0=1e-8, dt=0.05)\n", " print(t0, end=', ')\n", " geods.append(geod_line(sol))\n", " t0 += dt0\n", " return geods" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t0 : -10.0000000000000, -9.00000000000000, -8.00000000000000, -7.00000000000000, -6.00000000000000, -5.00000000000000, -4.00000000000000, " ] } ], "source": [ "outgeods = outgeods_from_Mink(-10., tmax, 1., t0_max=-3.)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t0 : -3.00000000000000, -2.50000000000000, -2.00000000000000, -1.50000000000000, -1.00000000000000, -0.500000000000000, " ] } ], "source": [ "dt0 = 0.5 if S == S0 else 0.49\n", "outgeods += outgeods_from_Mink(-3., tmax, dt0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Drawing of the radiation region (yellow rays):" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "def draw_radiation_region(v0, rmax, nl):\n", " graph = Graphics()\n", " for i in range(nl+1):\n", " t0 = float(i)/float(nl)*v0\n", " graph += line([(0, t0), (rmax, t0 - rmax)], color='yellow')\n", " return graph" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "graph = draw_radiation_region(v0, rmax, 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the outgoing radial null geodesics:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 34 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for geod in outgeods:\n", " graph += geod\n", "show(graph, aspect_ratio=1, xmax=rmax, ymin=ymin, ymax=ymax, \n", " axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ingoing null geodesics:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "tags": [] }, "outputs": [], "source": [ "def ingoing_geods(tmin, tmax, rmax, v0, dt_out, dt_in):\n", " geods = []\n", " t0 = tmin\n", " while t0 < 0:\n", " geods.append(line([(0, t0), (rmax, t0 - rmax)], color='green',\n", " linestyle='--'))\n", " t0 += dt_out\n", " t0 = 0\n", " while t0 <= v0:\n", " geods.append(line([(0, t0), (rmax, t0 - rmax)], color='green',\n", " linestyle='--'))\n", " t0 += dt_in\n", " t0 = v0 + dt_out\n", " while t0 < tmax + rmax:\n", " geods.append(line([(0, t0), (rmax, t0 - rmax)], color='green',\n", " linestyle='--'))\n", " t0 += dt_out\n", " return geodsd𝑟" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "ingeods = ingoing_geods(-6., tmax, rmax, v0, 1., 0.5)\n", "for geod in ingeods:\n", " graph += geod" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The curvature singularity (in orange):" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "def curvature_sing(tmax, nb):\n", " h = tmax/(nb - 1)\n", " return line([(0, h*i) for i in range(nb)], \n", " thickness=3, color='darkorange', \n", " marker='D', markersize=8)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "graph += curvature_sing(tmax, 21)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The event horizon (in black):" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "def event_hor(tmax, tmin=-4.):\n", " sol = solve_ode(tmax, tmin, r0=2.)\n", " hor = line([(s[1], s[0]) for s in sol], color='black', thickness=4)\n", " # Refinement near the horizon birth point:\n", " t0, r0 = sol[-2][0], sol[-2][1]\n", " sol = solve_ode(t0, tmin, r0=r0, dt=0.001)\n", " hor += line([(s[1], s[0]) for s in sol], color='black', thickness=4)\n", " thb = sol[-1][0]\n", " dthb = sol[-2][0] - thb \n", " print(\"Coordinate t at the event horizon birth [unit: m]: \")\n", " print(thb, \" +/- \", dthb)\n", " return hor" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coordinate t at the event horizon birth [unit: m]: \n", "-2.600999999999992 +/- 0.0009999999999998899\n" ] } ], "source": [ "graph += event_hor(tmax)\n", "pA = (2., v0 - 2.) # point A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check of the determination of $t_{\\rm hb}$ by comparison with the analytic formula for $S(x) = S_0(x) := x$:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analytic value of coordinate t at the event horizon birth [unit: m]:\n", "-2.60135096372454\n" ] } ], "source": [ "if S == S0:\n", " aa = 1/sqrt(16/v0 - 1)\n", " thb = numerical_approx(-4*exp(-2*aa*atan\n", " (aa)))\n", " print(\"Analytic value of coordinate t at the event horizon birth [unit: m]:\")\n", " print(thb)\n", " pB = (-thb/2, thb/2) # point B\n", " pC = (0, thb) # point C" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The trapping horizon (in red):" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "def trapping_hor(mv, tmax):\n", " return parametric_plot((2*mv, v - 2*mv), (v, 0, tmax + 2),\n", " color='red', thickness=2) " ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "graph += trapping_hor(m_num(v), tmax)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "graph_wo_vectors = copy(graph)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The vectors $k$ and $\\ell$ at some point $p$:" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\ell = \\frac{\\partial}{\\partial t } + \\left( -\\frac{m\\left(5\\right) - 2}{m\\left(5\\right) + 2} \\right) \\frac{\\partial}{\\partial r }\\)" ], "text/latex": [ "$\\displaystyle \\ell = \\frac{\\partial}{\\partial t } + \\left( -\\frac{m\\left(5\\right) - 2}{m\\left(5\\right) + 2} \\right) \\frac{\\partial}{\\partial r }$" ], "text/plain": [ "l = ∂/∂t - (m(5) - 2)/(m(5) + 2) ∂/∂r" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = M((1, 4, pi/2, 0), chart=X)\n", "l.at(p).display()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "graph += k.at(p).plot(ambient_coords=(r, t), color='green', fontsize=16)\n", "graph += l.at(p).plot(ambient_coords=(r, t), color='green', fontsize=16,\n", " parameters={m(5): 1}, label_offset=0.15)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 68 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if S == S0:\n", " graph += circle(pA, 0.08, fill=True, color='black') \\\n", " + text(r\"$A$\", (pA[0]+0.2, pA[1]+0.1), fontsize=16, color='black')\n", " graph += circle(pB, 0.08, fill=True, color='black') \\\n", " + text(r\"$B$\", (pB[0]+0.25, pB[1]), fontsize=16, color='black')\n", " graph += circle(pC, 0.08, fill=True, color='black') \\\n", " + text(r\"$C$\", (pC[0]+0.25, pC[1]), fontsize=16, color='black')\n", "show(graph, aspect_ratio=1, xmax=rmax, ymin=ymin, ymax=ymax, \n", " axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "filename = \"vai_diag_S0.pdf\" if S == S0 else \"vai_diag_S2.pdf\"\n", "graph.save(filename, aspect_ratio=1, xmax=rmax, ymin=ymin, \n", " ymax=ymax, axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A zoom on the trapping horizon in its dynamical part: notice that the \"outgoing\" null geodesics cross it with a vertical tangent, in agreement with the cross-sections of the trapping horizon being marginally trapped surfaces." ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 58 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(graph_wo_vectors, aspect_ratio=1, ymin=-0.8, ymax=1.2, xmax=2.5, \n", " axes_labels=[r'$r/m$', r'$t/m$'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case of a naked singularity\n", "\n", "The naked singularity is obtained for small energy densities of the radiation shell, i.e. for large values of the \n", "shell width $v_0$. The precise criterion is $v_0 > 16 m$ for $S(x) = S_0(x)$. We select here $v_0 = 18m$:" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "v0 = 18" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\frac{1}{72} \\, v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + 18\\right) + 1\\right)} + \\frac{1}{2} \\, \\mathrm{sgn}\\left(v - 18\\right) + \\frac{1}{2}\\)" ], "text/latex": [ "$\\displaystyle \\frac{1}{72} \\, v {\\left(\\mathrm{sgn}\\left(v\\right) + 1\\right)} {\\left(\\mathrm{sgn}\\left(-v + 18\\right) + 1\\right)} + \\frac{1}{2} \\, \\mathrm{sgn}\\left(v - 18\\right) + \\frac{1}{2}$" ], "text/plain": [ "1/72*v*(sgn(v) + 1)*(sgn(-v + 18) + 1) + 1/2*sgn(v - 18) + 1/2" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m_num(v) = mS(v).subs({m_0: 1, v_0: v0})\n", "m_num(v)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "drdt1 = drdt.substitute_function(m, m_num)\n", "\n", "fdrdt = fast_callable(drdt1, vars=[t, r])\n", "\n", "solve_ode.rhs = fdrdt" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "#tmax = v0 + 4.5\n", "tmax = v0 + 3.5\n", "ymax = tmax - 0.5\n", "rmax = 16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Outgoing radial null geodesics from the Minkowski region:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t0 : -19, -17.0000000000000, -15.0000000000000, -13.0000000000000, -11.0000000000000, -9.00000000000000, -7.00000000000000, -5.00000000000000, -3.00000000000000, -1.00000000000000, " ] } ], "source": [ "outgeods = outgeods_from_Mink(-rmax - 3, tmax, 2.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Outgoing radial null geodesics in the black hole region:" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "def outgeods_in_BH(tmax):\n", " geods = []\n", " sol = solve_ode(tmax, -1, r0=1)\n", " geods.append(geod_line(sol))\n", "\n", " sol = solve_ode(2/3*tmax, -1, r0=1)\n", " geods.append(geod_line(sol))\n", " sol = solve_ode(2/3*tmax, tmax, r0=1)\n", " geods.append(geod_line(sol))\n", "\n", " sol = solve_ode(1/3*tmax, -1, r0=0.5)\n", " geods.append(geod_line(sol))\n", " sol = solve_ode(1/3*tmax, tmax, r0=0.5)\n", " geods.append(geod_line(sol))\n", " \n", " return geods" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "outgeods += outgeods_in_BH(tmax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The Cauchy horizon (in blue):" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "if S == S0:\n", " a0 = 2 / v0\n", " rC = n(4/(1 - sqrt(1 - 8*a0)))\n", " tC = v0 - rC\n", " pC = (rC, tC) # point C\n", " sol = solve_ode(tC, -1, r0=rC)\n", " cauchy_hor = line([(s[1], s[0]) for s in sol], \n", " color='blue', thickness=2)\n", " sol = solve_ode(tC, tmax, r0=rC)\n", " cauchy_hor += line([(s[1], s[0]) for s in sol], \n", " color='blue', thickness=2)\n", "else:\n", " print(\"approximate CH\")\n", " sol = solve_ode(-1.e-3, tmax, r0=1e-8)\n", " cauchy_hor = line([(s[1], s[0]) for s in sol], \n", " color='blue', thickness=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Outgoing radial null geodesics emerging from the initial singularity:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "r0 : 3.00000000000000, 3.75000000000000, 4.50000000000000, 5.25000000000000, 6.00000000000000, " ] } ], "source": [ "if S == S0:\n", " rB = n(4/(1 + sqrt(1 - 8*a0)))\n", " pB = (rB, v0 - rB) # point B\n", "else:\n", " rB = 2.5\n", " rC = 6.5\n", "nl = 5\n", "dr = (rC - rB)/(nl - 1)\n", "print(\"r0 : \", end='')\n", "for i in range(nl):\n", " rr = rB + i*dr\n", " print(rr, end=', ')\n", " tt = v0 - rr\n", " sol = solve_ode(tt, -1, r0=rr)\n", " outgeods.append(geod_line(sol))\n", " sol = solve_ode(tt, tmax, r0=rr)\n", " outgeods.append(geod_line(sol))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Drawing of the radiation region (yellow rays):" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "graph = draw_radiation_region(v0, rmax, 40)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the outgoing radial null geodesics:" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "image/png": 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SIoz9WXuS2SSjf6n+sqWEC+fPzsy4OIN/yv1D7hS5ZcsJFV+NL133d6V8xvL0L63cn++ePbBuneGWmiCRli2bLbFQq9uR5pXHK9rtbUfdnHX5p/w/suXECVRD8Bvf+whenpUtJU4RoA1g3Z11dCzc0eRmkjt9dGLj3Y2MrTTWJAKMhBD0PdyX9LbpGV1xtGw5YTLm1BjeeL1hTaM1it0qePsWunT7MY1wySJLsiq351HxBOoC+XvX3ySKl4gNjTco9v97bEP9KQdDlSxV1D4CI7Pn4R4++X5S9LnykBh/ZjwZ7TLSvZjyB/oA7Hiwg5PPT7Ko7iJsrGxkywmVi68usuDqAqZUnUKu5LlkywmWoGmEHl8NpwqaNNXTwfROzCqKESdGcOPtDXY030HyBMlly4kzqIYgGKpkqYJngCd3PtyRLSXOsPzGcipnrkyeFHlkS4kQ199eZ/fD3dhXsTeJREavAC+GHB9CkzxNqJuzrmw5oeKn8aPzf50pnaG0omOYFy+Gk8cNewMpU2tYucJcnUYYBfY83MP8q/P5t+a/lM5QWracOIVqCIKhRLoSWJlbccn1kmwpcYJHnx5x7uU5k2wmHHt6LHlS5KFdoXaypYSLSecm8dXvK/Nrz5ctJUzGnRnHK49XrG20VrFHzZycYOiwH5XETRusSK6+oY00T788pfN/nWmer7nJ9OPEJlRDEAzxLeNTNG1RLr++LFtKnGDFjRWkSJCCpnmbypYSIc69OMexZ8eYXHWyScQbO310Yv7V+YypOEbxCZKXXS8z78o8JlWdpNiqUWAgtGqjJTDAYFb69xfUrClZlAnjp/Gjxc4WpEqYilUNVin+5EtsRDUEIVA2Q1kuu6qGIKbx1/qz/s56OhXuZBIl9yCEEIw5PYZiaYuZhJERQjDgyACyJMnCsHLDZMsJFX+tP132d6F42uIMKTtEtpwQGT9ecO+OwQjmyqNh5kz1BSwqDD42mIcfH7KrxS7FD8mKraiGIATKZSyHi7sLH7w/yJYSq9nltIsvfl9MrpnwyNMjXHS9yLRq00yiA3qX0y5OuZxiQe0Fijde9mftef71OWsbrVVs5eX8eZg1y/DflpZ6tm2xwkbZ/ZmKZtv9bSy/sZz/1fkfhdMUli0nzqL8O5kkymYoC6BuG8Qwy28sp1rWauRMnlO2lHCjF3rGnB5DpcyVqJld+TVi70BvhhwfQsPcDRXfSHjj7Q3+vfQv4yuNV+y0Sg+Pb9MIhaEiMGWKOUWLShZlwjz5/ITuB7rTpmAbuhXrJltOnEY1BCGQMXFG0tumV7cNYpAHbg+48OqCyTUT7nLaxe33t5labapJ7HNOOz+Njz4fmV9rvmwpoaLRaei6vysFUhVQ9CCafv31vHE1TCMsX0HLMGXvwCgaf60/LXa2IJ1tOpbVW2YSz6fYjDLrcQqhbMayaoUgBll1cxUpE6SkcZ7GsqWEG61ey7gz46ibsy4VMlWQLSdMnD878++lfxldcbSi0wEBZl+azX23+1zrfg0rCyvZcoJl927YtNHwPiqhrZbNm9RphFFh8NHBPP78mKvdrmJrbStbTpxHrRCEQtkMZbn+9joanUa2lFhHgDaAjXc30rFwR+JZxJMtJ9xsuLMB58/OTKk6RbaUMAlqJExvl17xgUuPPj1i4rmJDCs3jGJpi8mWEyzv30O37j+mES5dbEnmzBIFmTjb7m9j2Y1lLKi9gEKpC8mWo4JqCEKldPrS+Gn9ePDxgWwpsY4Dzgf47PeZzkU7y5YSbgK0Adiftadl/pYUTav8TeP/Hv/HsWfHmF9rvqInEuqFnq77u5I5cWYmVJ4gW06wCAFdu+lw/2kaYTvTGD2hSIL6BloXaG0yEz7jAqohCIUiaYpghhk33t6QLSXWsfrWaspkKEO+lPlkSwk3q26u4o3XGyZWmShbSpj4anwZdHQQdXLUoWHuhrLlhMoSxyVccr3EqoarFGtc1qyBw4cMewPJU2pYvkydRhhZgvoG0iZKy/L6y9W+AQWhGoJQSBgvIXlS5OHmu5uypcQqXD1cOfb0GF2LdpUtJdz4a/2ZdmEabQu2VeygnJ+ZcWEG77zfsaD2AkXfcF+6v2TkyZH0Kt6LSpkryZYTLC4u0H/gj62CtautSJlSoiATZ/DRwTz69IidLXaqfQMKQ20qDIPi6Ypz451aIYhONtzZgI2VDS3zt5QtJdysuLGCD94fGFdpnGwpYfLsyzNmXZzFsLLDFH2cUwhBz4M9SWqTlJk1ZsqWEyw6HbRrr8XPx3Cr7NJFT4MG6vuoyLL9/naW3VjG8vrL1XkDCkT9zQ6DYmmKcefDHbR6bdiLVcJEL/Ssub2GFvlaYGdtJ1tOuPDV+DL9wnQ6FO6g6BfYIAYdG0SqhKkUH2286e4mjj07xrJ6yxT7uzBvHly6aDADGTJpmD9fvWVGFrVvQPlE6Ld7+vTplCxZEltbW1KlSkXjxo15/PjxL2uEENjb25MuXTpsbGyoUqUKDx6YblNesbTF8Nf68+jTI9lSYgUOLx14/vW5SW0XLLu+jE++nxhbaaxsKWFy0PkgB50PMq/WPBLGSyhbToh88P7AoGODaFOwDfVy1ZMtJ1ju34dRow3BRWZmgs0brbBVK9yRwl/rT8tdLUmTKI3aN6BgImQIzp07R9++fbly5QonTpxAq9VSs2ZNfHx8vq+ZNWsWc+fOZdGiRTg6OpImTRpq1KiBl5dXtIs3BkHd5GpjYfSw5tYaciTLYRJn+AF8An2YcWEGnQp3IlvSbLLlhIq/1p+BRwdSPVt1xecrDDg6AHMzc8UOSwoMNEwj1GoMjYRDhkAlZbY4mARDjg3h4ceH7GixQ+0bUDIiCri5uQlAnDt3TgghhF6vF2nSpBEzZsz4vsbf318kTpxYLFu2LFyP6eHhIQDh4eERFWnRSs6FOcWAwwNkyzB53P3chc0UGzHNYZpsKeFm5oWZwmqSlXD56iJbSphMOjtJWE2yEg8/PpQtJVT2PtwrsEdsubtFtpQQGT1aLwyHDYXInTdQ+PnJVmS6bLu3TWCPWOYYvtcAFXlEaUPMw8MDgGTJkgHg4uLC+/fvqflTBqi1tTWVK1fm0qVLwT5GQEAAnp6ev/xRGmpjYfSw7f42AnQBdCzSUbaUcOEV4MWsi7PoWrQrWZJkkS0nVF55vGL6hekMKjNI0acg3P3d6XOoD/Vz1adVgVay5QTLlSswfYYADMFFWzdbET++ZFEmSlDfQKsCrUwuwCwuEmlDIIRgyJAhVKhQgQIFCgDw/v17AFKnTv3L2tSpU3//t9+ZPn06iRMn/v4nY8aMkZUUYxRJXYQ7H+6gF3rZUkyaNbfXUCdHHdLZppMtJVwsurYIr0AvxTfnAYw4OQI7azvF9zkMPz4c70BvltZbqsh9ZB+fb8FFesOtceJENbgosqh9A6ZHpA1Bv379uHv3Llu3bv3j337/Hy+ECPGXYdSoUXh4eHz/4+rqGllJMUbB1AXxDvTmlccr2VJMlvtu97n25hpdinaRLSVceAZ4MvvSbHoU60HGxMozqT9z/uV5tt3fxozqMxTbrQ9w2uU0q26tYnaN2WSwyyBbTrAMHy548dyQo1CylJZ/lJuxpHiGHhv6vW9Ayb+XKj+I1ByC/v37s3//fhwcHMiQ4ccTO02aNIChUpA2bdrvn3dzc/ujahCEtbU11tbKzmcvmKogAPc+3FN86ViprLm1hpQJUlI/V33ZUsLFgisL8NX4MqriKNlSQkWn1zHg6ABKpitJh8IdZMsJEV+NL90PdKdy5sp0L67MI2fHjsHSpYY3LvFtdGzeZImlOqklUux4sIMl15ewtN5SiqQpIluOSjiJUIVACEG/fv3Ys2cPp0+fJmvWX9PTsmbNSpo0aThx4sT3zwUGBnLu3DnKlSsXPYolkMEuA4mtE3Pf7b5sKSaJVq9l873NtCnYxiSCjNz93ZlzeQ69S/RW/PbG6luruf3+NgvrLMTcTLln5MefGc9br7esbLBSkTq/foUOnX6EmM3514Kcyh85oUiefnlKt/3d+Dv/3yYXbR7XiZD/7du3L1u2bOG///7D1tb2e19A4sSJsbGxwczMjEGDBjFt2jRy5sxJzpw5mTZtGgkSJKBNmzYx8g0YAzMzMwqkKsA9t3uypZgkx58dx83HjY6FTaOZcN7leQTqAhlRQdkJge7+7ow5PYb2hdpTJkMZ2XJC5Nqba8y7Mo/pf01X7GCnPn31uL03bBX8VUNH795qpnFk8Nf603JnS1InSs2KBivUvgETI0KGYOnSpQBUqVLll8+vXbuWTp06AfDPP//g5+dHnz59+Pr1K6VLl+b48ePYmvhEj4KpCnLR9aJsGSbJhjsbKJCqgEmUDr/4fWHelXn0KdmHNInSyJYTKhPPTsRP48eM6jNkSwmRQF0gXfd3pUiaIgwpO0S2nGDZsQO2bTVULWwTa1m/1lINLookQ48NxemjE5e7Xlb7BkyQCBkCIUSYa8zMzLC3t8fe3j6ymhRJgVQFWH1rNRqdBisLK9lyTAYPfw/+e/wfE6tMNIl3C/Muz0MndPxTXtndZA8/PmSR4yImVZmk6G2Nfy/9y8OPD7ne4zqW5srbkH/7Fnr01BJ0K1y+1JL06eVqMlV+7hswhXhwlT9R3maeQimYuiAavQbnz86ypZgUu5x2EaANoG3BtrKlhIm7vzsLry2kd4nepEqYSracEBFCMOjYIDIlzsTgsoNlywmRJ5+fMOncJIaWHarI6pAQ0LmrDg93gxlo3kJPK2WORlA8at9A7EA1BOGkQCrDrAW1jyBibLi7gerZqpPeTvlvuxZeXUigLpBh5YbJlhIqB50PcvzZcebWnEt8S2VOzBHfkgzT26VnQpUJsuUEy8qVcPyooVcgRSoNy5aaq1sFkUDtG4g9qIYgnCSzSUY623Tc+6AagvDywv0FDi8daF+ovWwpYeIZ4Mn8K/PpUayHonsHArQBDD42mBrZatAwd0PZckJk3e11nHlxhmX1lpHAKoFsOX/w7BkMHPwjwXTDOiuSJ5coyIQZdnwYDz4+YEdzdd6AqaO8TT0FUyBVAR58NN3kRmOz6e4mElolpEneJrKlhMkSxyX4aHwU3zsw/8p8Xri/YH/r/Yp9J+bm48bQ40NpX6g9NbLXkC3nD/R66NBRi7+v4fbXo4egTh1l/iyVzi6nXSx2XMySukvUvoFYgFohiAC5k+fm8efHYS9UQQjBhjsbaJavGYniJZItJ1R8An2Yc3kOXYt2VfTWxjuvd0w5P4W+JfuSL2U+2XJCZPCxwZibmTOn5hzZUoJlwQK4dNFgBjJm1jBnjmoGIoPLVxe67u9Ki3wt6FWil2w5KtGAaggiQO7kuXn25RlavTbsxXGcq2+u8uTLE5PYLlh2fRnu/u6MKK/suQOjTo3C2sIa+yr2sqWEyJEnR9hybwvzas0jZcKUsuX8wePHMHKU7vvfN663IpGy/aoiCdQF0mp3K5LbJGdlg5WKrVapRAzVEESA3Clyo9FrcPnqIluK4tl4ZyPpbdNTNUtV2VJCxU/jx+xLs+lUuBOZk2SWLSdErr6+yvo765lSbQpJbZLKlhMsPoE+9D7Um+rZqtOuUDvZcv5Aq4V27bUEBhgaCQcMEFSuLFmUiTLm1BhuvrvJtubbSBw/sWw5KtGEaggiQO7kuQHUbYMwCNAGsO3BNtoVaoeFubInvq28uZJPvp8UnVmgF3oGHB1A4dSF6V5MmTkAABPOTuCDzweW1VumyHeMc+bAdUfDVkHW7BqmT1eeRlPgyJMj/Hv5X2b8NYNS6UvJlqMSjaiGIAKkt0tPAqsEPP6kGoLQOPL0CF/8vih+u8Bf68/MizNpV6gd2ZJmky0nRDbd3cS1N9dYWGehYg3WzXc3mXdlHvaV7cmeLLtsOX9w/z6MHWfYKjAz17N5oxUJlHf4QfG88XxDh30dqJuzrqJnYKhEDtUQRABzM3NyJc+lVgjCYMu9LRROXZj8qfLLlhIqa2+t5b33e0ZXHC1bSoj4BPow+tRomuVtRqXMlWTLCRatXku3/d0omKqgIscTazTQtr0WrcZgpoYNNaNsWcmiTBCdXke7ve2IZxGP9Y3XKzKkSiVqqMcOI4h60iB0vAK8OOB8APvK9rKlhEqgLpDpF6bTqkArciXPJVtOiPx76V8++n5kVo1ZsqWEyIIrC7j9/jZXu11V5Fjv6dPh7m3DrS5XHg2TJilPoykwxWEKDi8dON3hNCkSpJAtRyUGUC1eBMmdPLe6ZRAK/z3+D3+tP60KKHsG7IY7G3jt+ZoxFcfIlhIibzzfMOvSLAaWHqjYLQ2Xry6MPzueAaUHUDJ9Sdly/uDWLZg0WQ+AuYVhqyC+Moc7KppzL84xyWES4yuNp3IWtRMztqIaggiSO0VuPvh8wMPfQ7YURbL1/lbKZyyv6I59jU7DtPPTaJ6vuaLP8485PYYEVgkUa1qEEPQ+1JsUCVIwpdoU2XL+ICDAsFWg0xpuc6NGmlGihGRRJshHn4+02dOGSpkrMbbSWNlyVGIQ1RBEEPWkQch88v3E8WfHaV2gtWwpobL1/lZc3F0UfXO78fYG6++sZ1KVSYo91rX1/laOPTvGkrpLFDl8auJEwcMHhq2C/AW1jB+vniqIKHqhp9N/nQjUBbK56WbFNrUqmbdeb2VLCDeqIYggOZPnBODZl2eSlSiPXU67EELQIn8L2VJCRC/0TL8wnQa5GlAodSHZcoJFCMGQ40PIlzIf3Ysr85jhZ9/PDDo6iJb5W1IvVz3Zcv7g2jWYMdMQ125pqWfzRkvixZMsygSZd3keh58cZkPjDYqO2VYqgbpAWuxU7v3wd9SmwghiZ21HigQpeP71uWwpimPr/a38le0vRUcH73u0j0efHrG20VrZUkJk76O9OLx04EjbI1iaK/MpOvzEcDR6DQtqL5At5Q/8/aFtew1Cb2genDDBnMKFJYsyQa69ucbIUyMZVnYYdXLWkS3HJBl+fDiObxxlywg3aoUgEmRLmk01BL/x2vM151+ep02BNrKlhIgQgukXplMlSxXKZCgjW06wBGgDGH5iOLVz1KZ2jtqy5QTLGZczrL29ltk1ZisyGXLsWMFTZ4MZKFJMy8iRkgWZIB7+HrTa1YpiaYsx9a+psuWYJFvubWHhtYXMqzVPtpRwo8y3HwonW9JsPHdXDcHPbL+/nXgW8RSdbHjK5RTX317nWLtjsqWEyKJri3jp/pIDrQ/IlhIsAdoAeh3qRcVMFelStItsOX9w8SLMnWv4b0srHZs3WmKp3uUihBCC7ge688XvC6c6nCKehbrXElHuu92n+4HutCvUjj4l+8iWE27UCkEkyJZErRD8ztb7W6mXq56i89CnX5hOsbTFqJFNeZG8YOjmnuwwmR7Feyj29MPMizN5/vU5y+ovU9xgGh8faNdBgxCG5sGpUyzIp8wfo6JZcWMFO512sqrhKrImzSpbjsnh4e9B0+1NyZ40O8vrL1fkGO+QUNYz2kTIljQbrh6uBOoCZUtRBM6fnbnx7oaiTxdce3ON0y6nGVVhlGKfoBPPTTR8rDJRspLgefL5CdPOT2N4ueGKNCwjRwpePDdsFZQqrWXoUMmCTJB7H+4x6NggehXvRfN8zWXLMTmEEHT6rxNuPm7s+XsPCaxMaz62YgzB4sWLyZcvHyVLKm+4ye9kS5oNgeCl+0vZUhTB1ntbsY1nS72cyus2D2L6henkSp6LJnmUuaXh9NGJZdeXMbbSWEXGBgsh6HO4D+ls0ynyuOaZM7BokcHoWcfXsXGDJRbqCbkI4RPoQ8tdLcmZLCdza82VLcckmXVxFvse7WNDkw3kSJZDtpwIoxhD0LdvX5ycnHB0VH5HZtDUOHXbwPBCse3BNhrnaYyNlY1sOcHywO0B+x7tY2T5kYo9Rz3s+DAyJ8lM/1L9ZUsJlq33t3Ly+UkW112suHc9Xl7QoZPm+99nzrAgl3KnUSuW/kf688rjFdubb1fsc1nJnHp+itGnRzO6wmga5m4oW06kUIwhMCUy2GXA0txSNQTAg48PePTpES3zt5QtJURmXpxJBrsMtC3UVraUYDn29BhHnh5hVvVZWFtay5bzB1/9vjL42GBa5GuhyONnw4YJXr8ybBVUqKilvzI9laLZfHcza2+vZVGdReRNmVe2HJPD1cOV1rtbUy1rNSZVnSRbTqRRDUEksDC3IEuSLKohwDCMyM7aTrGNei/cX7Dl3haGlR2myG5prV7L0ONDqZipIk3zNpUtJ1hGnxqNn8aP+bXny5byB6dOwYoVhq2C+Al0rF9nibl6V4sQTz4/odehXrQt2JZORTrJlmNyBGgDaLGzBTZWNmxttlWxVcjwoB7IiSTq0UMDO5120ih3I0W+swVDWmCS+EnoVqybbCnBsvrmah58fIBjd0dFNjteeX2F5TeWs6D2AsVNqvP2hk5dNIChOjBntgXZlJkBpVgCtAH8vetv0iZKy9J6SxX5O6h0hhwbwq33t7jQ+YLJp0CqXjqSZEuSLc6PL3b66ITTRyfFdiN/8P7A6lurGVh6IAnjJZQt5w+8A72ZcHYC7Qq1o0Q65aXuaPVaeh3sRbG0xRR5lnrEiB9bBRUra+nVS7IgE+SfE//w4OMDtjffjq21rWw5JseGOxtYcn0J/6vzP0WmfUYU1RBEksxJMvPK45VsGVLZ5bQL23i21MxeU7aUYFlwdQGW5pb0K9VPtpRg+ffSv7j7uzOlqvKSAgEWXl3IPbd7LK+/XHFl0LNnYcmSb1sFNjrWrla3CiLKf4/+Y+G1hfxb41+Kpi0qW47Jcef9HXoe7EmnIp3oXkyZmSMRRX0KRZJMiTPx1f8r3oHesqVIY6fTThrkbkB8S+UFzHsGeLLYcTG9ivciqU1S2XL+4J3XO/699C8DSg9QZFS0q4cr48+Mp2/JvhRPV1y2nF/w8YGOnX89VZA9u0RBJoirhyud/+tM4zyNFWuYlcxXv6803dGUPCnysKTukliz1aIagkiS0S4jYHhixUUefXrEfbf7tMinzCSvFTdW4KfxY3DZwbKlBIv9WXusLa0ZXXG0bCnBMuDoAOys7ZhSTXnVi1GjBK9eGLYKypXX0k99PYsQWr2WtnvakiheIlY3XB1rXsyMhV7o6bCvA1/9vrK75e5YdURTbSqMJBkTfzMEnq5x8pjOLqddJIqXiFrZa8mW8geBukDmX5lP20JtFdcIB/Dw40NW3VrFvzUMDY9KY//j/ex7tI8dzXcobhT1+fOwaJHhv+NZ61i3Vt0qiChTHaZy0fUiZzueJZlNMtlyTI7p56dzyPkQB9sc/D6TJragPpUiSXrb9JhhFmcrBDuddlI/V31FuuPt97fzxusNw8oOky0lWEacHEHmxJkV2ajnE+hD/yP9qZOjjuKaRX19DQOIgrIKZky3IGdOyaJMjPMvzzPJYRLjK42nYuaKsuWYHMefHWfcmXGMrzyeujnrypYT7agVgkhiZWFFWtu0cbKx0PmzM3c/3GVC5QmypfyBEILZl2ZTJ0cd8qfKL1vOH5x7cY4DzgfY2myrIo9qTjw3ETcfN850PKO4UvLYsb9mFQwYoN6+IsIXvy+03dOW8hnLM6bSGNlyTI6X7i9ps7sNtXPUZnzl8bLlxAhqhSAKZEqcCVfPuFch2OW0i4RWCamTQ3lT644/O849t3sMLzdctpQ/0As9w08Mp0S6Eoqc7Hj3w13mXp7L+ErjFVcKvXQJ5s83/LdVPB0b1qtZBREhKNLYO9CbTU03YWmumqmI4K/1p/nO5tha27Kp6SbFJX1GF+pvRRTIaJcxTlYIdjrtpF6ueorcLvj38r8UT1ucKlmqyJbyBzsf7MTxrSNnOp5R3A1FL/T0OtiL3ClyM7ScsmIC/fyCtgoM1YGpUyzInVuyKBNjxY0V7Hm4h90td5MpcSbZckyOgUcGcu/DPS51vRSr+y6UdVcyMTLaZYxzFYLnX59z+/1tmudV1v4ywK13tzj5/CTDyg1TXLk7QBvAqFOjqJ+rviLNyuqbq7n8+jJL6y1V3Ijn8eMFz54YzEDxklqGDJEsyMR44Pbge6SxUsdjK5l1t9ex4uYKltRbQrG0xWTLiVHUCkEUyJQ4E688XiGEUNwLUEyx79E+rC2sFRly8+/lf8mSJIvimuEAll5fykuPlxxsc1C2lD/45PuJkadG0rFwRyplriRbzi9cvQpz5grADEsrHRvWqVsFEcFP40er3a3InjS7GmkcCe68v0PvQ73pWrQrXYp2kS0nxlErBFEgY+KM+Gv9+ez3WbYUo7Hv0T5qZK9BoniJZEv5hVcer9h+fzuDywxW3P6ou787kx0m07VoV/KlzCdbzh+MOjkKvdAzq8Ys2VJ+wd8f2nfUIPSG29TkSRbkU96PT9EMOz6Mp1+esq35NkVu8SkZD38Pmu9sTt4UeVlUd5FsOUZBNQRRIGgvLq70Ebj5uHHR9SKNczeWLeUP5l+Zj521nSJd/PTz0/HX+jOxykTZUv7gyusrrLq1iqnVppIqYSrZcn5h4kTBk8eGrYIixbQMU+YpUsWy79E+llxfwtyacymQqoBsOSaFEIJO/3Xik+8ndrXcpchprDGBagiiQFybVnjQ+SBCCBrkbiBbyi+4+7uz8uZKepforbjKxUv3lyy4uoBhZYeR1jatbDm/oNPr6Hu4L8XSFqNn8Z6y5fzC9eswa7YAwNJKz8b1llgqq/CjaFw9XOnyXxca52lMrxJq6lNEmXN5Dvse7WND4w2KO3ETk6hPsSiQMmFKLM0teev1VrYUo7Dv0T7KZyqvuHeSy64vI1AXSP/S/WVL+YNxZ8aRJH4ShpVT3tvbZdeXcevdLS53vayo8KKAAMNWgV5nqA5MGG9OAfUNbrjR6XW029uOhPESqqOJI4HDSwdGnhzJyPIjFffmJ6ZRKwRRwNzMnNQJU/PO+51sKTGOd6A3x58dV9x2QYA2gIVXF9KhUAfSJEojW84v3Hl/h013NzGh8gTFRcu6+bgx5vQYuhXrRukMpWXL+YUpUwSPnAxmoGBhLSNGSBZkYkw7P40Lry6wqcmmWH1ELiZ45/WOv3f9TaXMlZhcbbJsOUZHNQRRJK1tWt55xX5DcPzZcQJ0ATTO01i2lF/Yen8r77zfMaSs8s6ijT49muzJstOtWDfZUv7gnxP/YGFuwfS/psuW8gu3bsG06YatAgtLw1aBlZVkUSbExVcXsT9nz9iKY6mcpbJsOSaFVq+l1e5WmGHG1mZbFdecbAzi3ncczaSzTRcnKgT7Hu2jYKqCZE+mnJxZIQTzr8ynbs66iguYcnjpwOEnh9nWbBtWFsp6Rbvw6gLr76xnRf0VJE+QXLac72g00KGTFr3OcFsaO8acwoUlizIhvvp9pc2eNpTNUJZxlcfJlmNyjDk1houvLnKm4xlSJ0otW44U1ApBFEmbKG2s7yHQ6DQcdD6ouOrAuZfnuPPhDoNKD5It5ReEEIw6NYpiaYvRIr+y4qG1ei19DvWhdPrSdC3WVbacX5gzB+7fNZiBvPk1jFZmMrQiCRpN7Bngyeamm+Pku9uo8N+j/5h1aRYzq8+M06FP6m9NFEmbKG2srxCcf3Wer/5fFWcI5l+ZT/6U+amerbpsKb9wwPkAl1wvcazdMcWNKF50bRH33e5zvcd1RWl7/BjGT9ABFpiZ61m/1op4yhqYqGhW3VzF7oe72dliJ5mTZJYtx6R49uUZHfd1pGneporcejQmyrkjmChpbdPi5uOGTq+TLSXG2PdoHxntMlI0TVHZUr7z7Msz9j/ez6AygxTVRa3T6xh9ajTVslajRrYasuX8wluvt4w/M57eJXoragSrXg+du2jRBBpOOgweZEbJkpJFmRBOH50YeHQgPYr1UOSUTiXjp/Gj2Y5mpEyYkjUN1yjqXiIDBRqC898+/idVRXhJmygteqHHzcdNtpQYQQjBvkf7aJynsaKeLP+79j+S2SSjbcG2sqX8wuZ7m3nw8QHT/5quqJ8XGKbWxbeMz5RqU2RL+YVly+DyJUOxMlMWDZMnK+vnpmT8tf602tWKLEmyMK/2PNlyTI5+h/vh/NmZ3S13kzh+YtlypKOYLYPFixezePFiQPvtM52BBEAzeaLCQTrbdAC8836nuMEz0cGdD3dw9XSlUe5GsqV8xzPAkzW31jCg9ABFjWMN0AYw/sx4muZtSqn0pWTL+YUzLmfYen8r6xqtI6lNUtlyvvPqFQz7R0vQrWjdGisSJJCryZQYfnw4zp+dudb9Ggms1B9cRFhzaw1rbq9hXaN1FEpdSLYcRaCYCkHfvn1xcnLiypXr3z7TGGgF7JYnKhwEmYDY2lh40PkgtvFsFdVos/rmavy1/vQp2Ue2lF9Ydn0Zrp6uTK02VbaUXwjUBdL3cF/KZyxP+8LtZcv5jhDQvacOPx+DGejWTVC1qmRRJsR/j/5jkeMi5tSco76gRZDb72/T93BfuhfrTsciHWXLUQyKqRD8yQrACoMp2IZSKwWpEqbCDLNYO4vgoPNBauWopZhIXJ1ex8JrC/m7wN/fqzNKwDPAkynnp9C5SGfypMgjW84vzL8yH+fPztzseVNRjYSbN8Pxo4a+gVRpNMyerazjmUrmtedruuzvQsPcDRVnjJWOu787zXY0I1/KfCyss1C2HEWhnLvDH1gCG4HmKLlSYGluSaqEqWLlSQM3HzeuvblGvZz1ZEv5zv7H+3nh/kJxRw3nXp6LV4AX9lXsZUv5BVcPVyadm0T/Uv0V9S7SzQ36DdB+//vK5VYkSSJPjymh0+tov7c9NpY2aiNcBBFC0GlfJ774fWFXi7gTWhReFFwhgB+mAJRcKYit0wqPPDkCQJ0cdSQr+cH8q/OpkKkCxdMVly3lO24+bsy5PIf+pfqTwS6DbDm/MPT4UGytbZlYVVlJi/0H6PH4arj9tGipp2FDBb83URizL83m3ItznOpwSlGDpUyB2Zdm89/j/zjQ+gBZk2aVLUdxKNwQgCmYgrSJ0vLWO/b1EBx8cpBS6UspZmrXzXc3cXjpwK4Wu2RL+YWpDlMxNzNnZIWRsqX8wmmX0+x02snGJhuxs7aTLec7+/fDju0GA5A4qZZF/zOB25BCcHzjyLgz4xhRfgRVs6oNFxHh3ItzjDo1ilEVRlE/V33ZchSJidhyZW8fpE6Umo8+H2XLiFYCdYEcf3ZcUdsFC64uIHPizDTKo5wTDy/cX7D0+lJGlB+hqHdrGp2GAUcGUD5jeUUdzfTwgO49Nd//vmihJamUFZ6pWLwDvWm7py1F0hRRXMVH6QSFFlXOXJlJVSfJlqNYTMQQgJJNQcoEKfnoG7sMwYVXF/AM8FSMk37v/Z6t97YyoPQARY1lnXB2AskTJGdg6YGypfzCEsclOH104n91/qeoPebhwwVu7w3NgzVr62irHK+ieAYeGchbr7dsabpFMU2+pkBQaJG5mXmcDS0KLyb2k1Hm9kHKBClj3WCig84HSWebjiJpisiWAhiO9MWziEeXol1kS/mO00cnNt7ZyKK6i0gYL6FsOd9x83FjwtkJ9Czek6JplTNd8swZWLnSYE5sEmpZscwSBXkVRbPLaRdrbq9hdcPV5EyeU7Yck2L0qdFcfHWRs53OKmb7U6mYUIUgCOVVClIlTIVngCcB2gDZUqKNQ08OUS9nPUW8uwzUBbL8xnI6FO5AkvhJZMv5zoSzE8iUOJPi4o1HnxqNuZm5oiYS+vpC564/tgpmz7QkszpyP1y4erjS/UB3mudrTucinWXLMSn2PdrH7EuzmVVjFhUyVZAtR/GYoCEApZmClAlTAsSabQPnz844f3ZWzHbB3od7ee/9nr4l+8qW8p1b726xy2kXEypPUFT51vGNI2turWFKtSmK6mkYP17w0sWwVVCmrJbevSULMhGCjhgmipeIFfVXKMKgmwpPvzyl476ONMvbjMFlBsuWYxIo0BBc+PbxSBjrlGMKUiU0dEXFlsbCQ86HsLaw5q+sf8mWAsAix0VUyVKF/Knyy5bynfFnx5MzWU5FTf7TCz39jvSjUOpC9CzeU7ac7zg6wtx5AgCreDrWrbXEXIF3HiUy6+IsHF46sKnJJkWNnFY6fho/mu9oTuqEqVnTSJ3VEF4U2ENQ+tvHdhiyDBqEslYZPQUpExgqBLGlj+DQk0NUzVpVEfvid97f4cKrC4o6anjl9RUOOh9kS9MtimpQWn97PdfeXMOhkwMW5hay5QAQGAgdO2sQekN1YKK9BblzSxZlIji+cWT82fGMrDCSylkqy5ZjUvQ93Bfnz85c7XZVUUdulY4CfXrQ+NI6GF7cD4SxXn6lIDZtGXgHeuPw0oG6OerKlgLAYsfFpLdNr6ijhuPOjKNAqgL8XeBv2VK+4+HvwchTI2ldoLWicidmzYKHDwzP6QKFNAwbJlmQieAd6E2bPW0omqYoE6uoRwwjwuqbq1l7ey3L6i+jYOqCsuWYFAo0BEGsxVAdUL4pSGCVgIRWCWNFheDsi7No9Bpq5aglWwpf/b6y6e4mepXopZh34mdfnOXk85NMqjJJUbkAE89NxCfQh9k1ZsuW8p3Hj2HiJB0A5hZ61q+1wkqNKwgXA44M4J3XO7Y024KVhfpDCy933t+h35F+9CjWgw6FO8iWY3Io5472B1YYtgBMwxSkTJgyVvQQHHt6jCxJspAzmfyjTetur0Or19K9WHfZUgDDHPSxp8dSLG0xGudpLFvOd5w+OvG/a/9jbKWxpLdLL1sOAHo9dOuuRasxbF0MGWxGsWKSRZkIOx/sZO3ttfyvzv/IkSyHbDkmg2eAJ813NidvirwsqLNAthyTRMGGAEzJFKRKmCpWVAiOPTtGrey1pDfh6IWexY6LaZG/hWLODh97doyLrheZUnWK9J9PEEIIBhwZQJYkWRTVSb12LVw4b6jqZMysYeJEZfy8lM4rj1f0ONiDFvla0KlIJ9lyTAYhBF33d8XNx42dLXaqoUWRROGGAEzFFMSGaYXPvz7nyZcn1Mouf7vg+LPjPPv6TDFHDYOqA+Uzlqd2jtqy5Xxn76O9nHI5xfxa87G2tJYtB4APH2Dw0B9JhqtWWJEggURBJkLQEUPbeLYsr79cMabTFFh0bRG7nHaxttFasifLLluOyWIChgBMwRTEhgrBsafHsDCzoFrWarKlsOjaIoqmKUrZDGVlSwHgv8f/cePdDaZUU051wFfjy5BjQ6iXsx71ciknc2LAQD1eHobqQJu2emrWlCzIRJh1cRbnX55nY5ON6hHDCHDtzTWGHh/K4DKDaZq3qWw5Jo2JGAJQuimIDRWCY8+OUTZjWRLHTyxVx/Ovzzn85DD9SvVTxIuvXugZd2Ycf2X9iypZqsiW851ZF2fxzvsd82vPly3lO4cP/5pkOH+eCd1iJBJ0xHBUhVHqEcMI8MXvCy13tqR4uuLMqD5DthyTx8Serco1BaZeIdDoNJx2Oa2I7YKljktJEj8JrQq0ki0FgB0PdnDf7T6Tq06WLeU7L9xfMPPiTIaUGaKYxjNv71+TDBfOtyRlSomCTISgI4bF0hbDvoq9bDkmg17o6bivI16BXmxvvl1RE0NNFRMzBKBUU5AiQQq8A71NNs/g8uvLeAV6STcEfho/Vt9aTdeiXUlgJX/jWavXMuHsBOrlrEfZjMrYvgAYfmI4yWySMabSGNlSvjNunODta8MRuSpVdbRXzhBHRTPgyADee79nc9PN6hHDCDD74mwOOh9kU5NNZEqcSbacWIEJGgJQoilIZpMMgK/+X6P9sY3BsafHSG6TnGJp5Z4N2+m0k6/+X+lZQhmjdzfd3YTzZ2dFZaife3GOXU67mFl9JoniJZItB4Dr12HBQsN44njWOlausFCTDMOBesQwcji8dGDM6TGMrjCaOjnryJYTa1CgIbj07eOJMNYpyxQEGYIvfl+i9XGNxbFnx6iRvYb0kbfLbyynerbqirg5anQaJjtMpmneptKNUhA6vY5BxwZRKn0p2hRsI1sOAFqtIclQ6A23k4n2FuSQ/79P8QQdMWyZvyUdC3eULcdkcPNxo9WuVlTIVIGJVdUpjtGJAg1B8W8f2wBHw1irHFNgyobgo89Hbr67KX274N6He1xyvaSYYJ5Ndzfx/OtzJlSeIFvKd9beXsvt97dZUHuBYiYlzp8P9+8aSt35CmgYOlSuHlPg5yOGy+otU0TzrCmg0+tos7sNeqFna7OtiplgGltQxh3lF4LOUlcDGmMqpsCUDcGJ5ycQCOmGYPmN5aROmJpGueXnFmh0Gqacn0LTvE0plLqQbDmAYRLbmNNjaFuwLWUylJEtB4Dnz2HsOMN4YjMzwdrV6nji8DDz4kwuvLrApqZqimFEmOwwmTMvzrC12VbS2qaVLSfWoRhDsHjxYvLly0fJkiW/fWYDUBNTMQVBT2pTNASnnp8if8r8Up9gPoE+bLy7kS5FuyiisSqoOjC+0njZUr4z1WEqXgFeijleJQT06KUjwN+wzdSvH5QqJVmUCeD4xpEJZycwsvxIKmWuJFuOyXD82XEmnZvExCoTqZq1qmw5sRLFGIK+ffvi5OSEo6Pjt89YAzsxFVMQzyIeieIl4qufaTUVCiE45XKKv7L+JVXH9gfb8QrwUkRugVavZer5qTTN25TCaQrLlgPAsy/PmH91PiPKjyCDXQbZcgDYsgVOnTCYgbTpNUydqpa9w8In0Id2e9tRJE0R9YhhBHjj+Ya2e9pSM3tNRlccLVtOrEUxhiB4TMsUJLNJZnIVAhd3F156vOSvbHINwfIby6mZvSZZk2aVqgMM1YFnX58pqjow7MQwUidMzfDyw2VLAeDzZ+g34Md44uVLrbC1lSjIRBh2fBivPV+rRwwjgEanodXuVlhbWLOp6SbF9M7ERkzgJ2s6psAUDcGp56cwNzOXWrq8/f42195co1eJXtI0BKHVa5niMIUmeZoopjpw2uU0+x7tY2b1mYqYzQAwdKge9y+Ghq5mzXU0aCBZkAlwyPkQy24sY07NOeRKnku2HJNhzOkxXHl9hR0tdpAiQQrZcmI1JmAIwFRMQTKbZHzxNzFD4HKKEulKkCR+Emkall9fTjrbdNTPVV+ahiA2391sqA5UVkZ1QKfXMejoIMpmKKuYyY2nTsH69YZbRyI7Lf9bKPeoqing5uNGl/1dqJeznmJO0ZgC+x/vZ/al2cysPpNyGcvJlhPrMRFDAKZgCkytQiCE4LTLaan9A96B3my+t5muRbtKP0Kk1WuZ7DCZJnmaUCRNEalaglh1cxX33O6xoPYCRRxN8/ODbj1+jCee+68ladVm71ARQtBtfzeEEKxuuFoR/x9NAZevLnTc15HGeRorKto7NmNChgCUbgqSxTctQ3Df7T4ffT9KTTfcem8rPhofuhXrJk1DEEqrDrj7uzP2zFg6FO5AyfQlw/4CIzB1quDFc8Ped7nyWrp2lSzIBFh5cyUHnA+wuuFqUidKLVuOSRCgDaDlrpYkjZ+UtY3WqibKSJiYIQAlmwJTqxCcdjlNPIt4lM9YXpqG5TeWUydHHemzyLV6LVPOT6FxnsaKqQ5MPjcZP40f0/+aLlsKAI8ewcyZhvHElpZ6Vq20xNwE7yDGxPmzM4OPDaZn8Z40yK02WoSXYceHcffDXXa22Cl1OzOuYaJPZ2WaAlMzBKdcTlEuYzlsrGykXP/G2xvceHdDEXuqW+5t4emXp4o5WeD82ZmF1xYyqsIo0tmmky0HIaB7Dy1areGW8c8/ZuTNK1mUwtHoNLTb0470tumZU3OObDkmw/b721nkuIj5teZTPF3xsL9AJdpQoCG4/O3j2TDWKc8UJLNJhru/Ozq9Lsy1stHqtZx7eU5q/8Cqm6tIb5teejhJUO9A4zyNKZq2qFQtQQw7Poz0tukZUnaIbCkAbNwIF84bejwyZdEwdqxawg2LKQ5TuPnuJpuabiJhvISy5ZgEzp+d6XagG60LtFbEqaO4hgINQdAN+W/gVBhrlWUKgsYXu/u7h/G48rnx9gaeAZ7SDIGvxpct97fQqUgn6c2EW+9tVVR14MSzExxwPsCsGrOkVW9+5vNnGDj4RyPh8qVW2MiXpWguu15myvkpTKg8gVLp1fGN4cFX40vzHc1Jb5ue5fWXq30DElCgIYj/7WN5DC/cpmMKTCnP4LTLaRLFS0SJdCWkXH/Pwz14BnjSuUhnKdcPQqfXMdlhMg1zN1REdUCn1zHk+BAqZKpAi3wtZMsBYMQIPe5fDI2EzVvoqV1bsiCF4xXgRbu97SidvjSjKo6SLcdk6H+4P0+/PGVXy13YWqtTrmSgQEMQxBagEqZkCoLyDL76K3988SmXU1TOXFnatLQ1t9ZQJUsVsifLLuX6Qex02smTL08UUx1Yc2sN993uM7fmXEW8Q7pwAVavNtwmEtpqWTBfwbcMhTDo6CDcfNzY2GSj9OqXqbDu9jrW3F7D0npLKZCqgGw5cRYFP7vjA/swJVNgZ20HGFLplEygLpBLrpeomkVOQMizL8848+IMXYp0kXL9IPRCz9TzU6mVvZYimpe8A70Zd2YcbQq2UcQxw8DAX2cOzJhmSTr5/Y2KZs/DPay5vYaFtRdKN7umwn23+/Q51IcuRbrQsUhH2XLiNAo2BGBqpiCxdWIAPPw9wngcuVx/ex0/rR+Vs1SWcv11t9dhZ21Hs3zNpFw/iAOPD3Df7T5jK42VqiOIWRdn4e7vzrRq02RLAWDePHj80FBBKlJMS+/ekgUpnHde7+hxoAdN8zalU5FOsuWYBN6B3rTY2YLsybLzv7r/ky0nzqNwQwCmZAqCKgQeAco2BA4vHUgUL5GU8/Y6vY51d9bRukBrqXP5hRBMPT+VSpkrUSFTBWk6gnjt+Zp/L/3LoDKDyJwks2w5uLjABHvDaRkzcz2rV1pioU4oDhEhBJ3/64yVhZXaEBcB+h7ui6uHKztb7FRMTkdcxgQMAZiKKbAwtyChVULFbxmce3mO8hnLS9nfPPH8BK89X9O1qNwRdyefn8TxrSNjKo6RqiOIsafHkjBeQkZVkN+EJgT07qsjwN/gAPr3M6NYMcmiFM5ix8Uce3aMdY3WqQE84WTd7XVsuLOBZfWXkSdFHtlyVDAZQwCmYgoSx0+s6C0DrV7LxVcXpaUbrrm1hgKpCkg73RDElPNTKJmuJDWy1ZCqA+DWu1tsuLOBiVUmkjh+Ytly2LMHjh0xmIFUaTRMnqy+2w0Np49ODD8xnP6l+lMrRy3ZckyCB24PvvcNtCvUTrYclW8ozhAEDfXxDvQO5l+VbwoSWydW9JbBnfd38Ar0kmIIPvl+Yt+jfXQp0kVqSfX8y/M4vHRgTMUx0ku7QgiGnRhG7hS56V6su1QtAF5e0Kffj0bCJYussLOTKEjhBOoCabunLVmTZGVm9Zmy5ZgEPoE+tNzVkmxJs6l9AwpDcYbAxd0FgJY7W+Kr8Q1mhbJNgZ21VtFbBg4vHYhvGZ+S6Yzfxb757mYA6e8Ipp6fSoFUBRQxW/7Qk0OcdjnNrOqzpB0B/ZmxYwVu7w06atXR0bSpZEEKZ/yZ8Txwe8DmppsVMUTKFOh3pB8v3F+ofQMKRHGGIEeyHIChjNpsRzMCdYHBrFKuKUgc/ykeAQ/CWC8Ph1cOlMlQBmtLa6NeVwjB6luraZi7ISkTpjTqtX/m+tvrHHt2jNEVRmNuJvfXX6PTMPzEcKpmqUr9XPWlagG4eRP+t8gQXmQdX8fSxRaovXEh4/DSgVkXZzGl2hRFDLUyBdbfXs+62+tYWm8peVOqYRhKQ3GGAK4CsLXZWE67nKbzf53RC30w65RpCuysM+Dhf5WIRicbA73Qc/7leSplMv52wY13N7jndk96M+G089PImSwnLfO3lKoDDFkOjz89Zk7NOdK3LnQ66Npdi9Abbgn2EyzImlWqJEXj4e9B+73tqZi5IkPLDpUtxyRw+uhEn8N96FykMx0Kd5AtRyUYFGgICgJQJesUNjUZzdZ7WxlzKqROcOWZgsTW1fEMSEZEo5ONwcOPD/ns91lK/8DaW2tJZ5uOmtlrGv3aQdx3u8/eR3sZWWEkFuZyz9B5Bngy4ewEOhTuoIh3l0uXwu2bhlMnufJoGKKMTCXFMujYIL76fWVD4w3Sf5dMAZ9AH1rsbEGWJFn4Xx21b0CpKNAQBO0plaBF/tnMrtGbGRdnsPbW2hDWK8sUJLZOikdASiIanWwMzr08h6W5JWUylDHqdQO0AWx7sI32hdpLvXlOvzCdjHYZpfcwAEw/Px3vQG+mVJsiWwrv38PI0drvf1+1wop48SQKUjj7Hu1j3e11LKyzUBEzI0yB/kf6f+8bUJMflYsCDUEQ24HSDCm7ju7F6tPzYE8uuV4KYa1yTIGdtd23Y4cRi042Bg4vHSiRroTRn5CHnxzmi98X2hdqb9Tr/szTL0/Zdn8bI8qPIJ6F3Fe7l+4vmXdlHkPLDiWDXQapWgCGDNXj42WoDnTurKdiRcmCFIybjxs9DvSgcZ7GdCysjtkNDxvubGDt7bUsrruYfCnzyZajEgoKNgQJgAOYmZVhUd3TlM6Qh+Y7mvPe+30I65VhChLHT/ztlEHEopNjGiEEDi8dpPQPbLi7geJpi5M/VX6jXzuIGRdmkDJBSroUlZufADD69GiSxE/CP+X/kS2Fc+dg6xbDbcAuiZZZsxR8S5CMEILuB7pjZmamTiMMJw8/PqT3od50LNwxzo5z/ujzUbaEcKPwZ7/BFMSzKMPOFk8RBNB6d+vvswr+RL4psLO2w0fjg1avRUmm4PnX57zzfkfFzMZ9+/fZ9zOHnA9JbSJ64/mGDXc2MKTsEOlHw66/vc6We1uYXHWy9IhXjQZ69v4xc2DWDEtSqEP2QmTd7XXsf7yfFfVXkCphKtlyFI+vxpeWu1qSOXFmFtddLFuOFLR6La12t5ItI9woxhAsXryYfPnyUbLk7+fjDaYgTaKybGvmi8NLByY7TA7lkeSagqCAox+zCJRhCoK2W8plLGfU625/sB290NOqgLwnxfwr87GxsqFn8Z7SNIDhHeY/J/4hX8p8dC7aWaoWgAULfoQXFS2upVs3yYIUzAv3Fww8OpDORTrTKE8j2XJMggFHBvDsy7M43Tcw5tQYzr04J1tG+BEKw8PDQwDCw8Pjt3/xEUJUExPPWgnziebi/MvzYTySnxCilhDCRghxMhxX9hdCNBBCWAshjoRjfaAQoqkQwkoIsf/7Z088OyGwRzz/8vy39RohRCshhKUQYlc4Hj966XWgl8i7KK/Rr1t6ZWlRf0t9o183iK9+X4XtNFsx4sQIaRqCOPLkiMAesf/R/rAXxzCurkLET6AVIISZmV44OspWpFx0ep2otLaSyDwvs/Dw//2+pBIcG+9sFNgj1txcI1uKNHY92CWwR/x78V/ZUsKNYioEYWOoFIypWIFyGaH93hZ4BXiFsl5OpSChlcEJ/zllUW6l4NLrS5TNUNao13z86TFX31ylQyF52wVLHZcSoAtgYOmB0jSAYST3iJMjqJCpgiKGEA0eosff13Dio0cPKCE3WkLRzLs8j/Mvz7O+8frviaYqIfPo0yN6HexF+0Lt42zfwKNPj+j0Xyda5m/JkLKmc4bXhAwBQAIszA+yvnFpPvm+Z+jxNmGsN74pCNqj9tP6BbNejinwDPDkvtt9o28XbLy7kcTWiaWNCPbX+rPg6gI6Fu5IWtu0UjQEsfneZu5+uMus6rOkN6OdPAm7dhqe+kmSaZk2TW2OC4n7bvcZfXo0g8sMpnKWyrLlKB4/jR8td7YkY+KMLKm3RPrvugy8A71pur0pGe0ysrrhapP6GZiYIQBIQLakJ5ldIzcrbx7k5PO5Yaw3rilIYHUFCK5CEITxTcG1N9fQC71RDYFe6Nl0dxN/5/+b+JbxjXbdn9lwZwNuPm4MKzdMyvWD8Nf6M+7MOJrmbUrZjMat0vxOQAD06vOjkXDuv5YkSyZRkIIJ1AXSfm97ciTLwdS/psqWYxIMPDqQp1+esrPFThLFSyRbjtER306iuHq6sufvPSb3MzBBQwCQgB7Fr1MlSxJ6HhyGr+Z4GOuNZwoSWPUHQjMEYGxTcMn1EknjJyV3itwxep2fOf/yPC89XtK+sJzZAzq9jtmXZtM0b1NyJc8lRUMQi68t5o3nG6ZVmyZVB8DcufDsiaGRsFRpLR3Vo/QhMvHsRO673WdTk03STK0psfnuZlbeXMn/6vyPAqkKyJYjhf9d+x/b7m9jTcM15EmRR7acCKNAQ+D47eO1UFeZmyVief2zvPE0Y4pDfcAhjMc1jimwsTTkoftpwtJjPFNw+fVlymQoY9Qwnw13NpA1SVbKZyxvtGv+zN5He3n65Skjyo+Qcv0g3P3dmXp+Kt2KdTOqIQuOV69g4iTDkV0zcz3Ll1lirsA7gBK47HqZGRdnYF/ZXhGjpZXO40+P6XmwJ+0KtVPErA8ZXHx1kaHHhzK4zGBa5G8hW06kUODtICgBqwlwOdSVuZIXZlSFUfx7ScujT7VRgilIYLUFAF/NLCIanRwTpkAv9Fx2vWzU7QJfjS87nXbSoXAHKftnQghmXpxJ1SxVKZne+DHPPzPjwgwCdAFMqDxBqg6AAQN1BPgbGgn79TWjSBG5epSKT6APHfZ1oFT6UoyoINdQmgJ+Gj9a7mpJBrsMLK231KT2zKOLD94faLmrJWUylGFm9Zmy5UQaBRqCoD2XgkAtwjIFIyqMJWPiLAw6aoMQdZBtCuJbGobN+GoKEdHo5JgwBY8+PcIjwMOohuDA4wN4BXpJyww48+IM199el14dcPVwZcHVBQwpM0R6U+ORI/DfPoMZSJ5Sw+TJce+mHV6GnxjOW6+3bGi8AUtzS9lyFM+go4Nw/uzMjhY7TG7PPDoIGj6k0+vY0XwHVhZWsiVFGgUagiB2AUUIyxTEt4zP3JrzOPbsC4ee5ADqItMUmJmZkcAqAX7a9kQ0OjkmTMEl10uYm5lTKn2paHvMsNh6fyul0pciR7IcRrvmz8y8OJMiaYpITVYEsD9rT6J4iRhefrhUHf7+0Lvvj0bC+XOtSJxYoiAFc/TpUZZeX8rsGrPJmTynbDmKZ+u9ray4uYL/1fkfhVIXki1HCmNPj+X8y/PsaLFDuvGPKgo2BImAw4THFDTM3ZBqWasx7Lg/Wn1JZJsCG0sbfDUBRDQ6OSZMwSXXSxRKXchozv2r31cOPzlMmwJhHQmNGW69u8XxZ8f5p9w/UkuXD9wesO7OOsZXGi/97PqsWfDSxfCupUJFLW3bSpWjWL74faHLf12omb0mvUv0li1H8Th/dqbHwR60KdiGrkW7ypYjhX2P9jHz4kxmVJ8hJVY+ulGwIYDwmgIzMzPm1JyD8+cnrL7ZFCiNTFOQwCrBt1MGEYtOjglTcPn1ZcplMN52wZ6He9AJHS3ztzTaNX9m9qXZZE2SVXpTz8hTI8mSJAs9S8gdl/z8OUydZmgkNLfQs2ypJXFwizdc9DnUBz+tH2saromT++ARwV/rT8udLUlnm45l9ZbFyZ/Xk89P6LivI83yNmNo2aGy5UQLCjcEEF5TUCRNEdoUbMPEc9Px1Riik2WZggRWCfDTBA0mkmcKvvh94dGnR0btH9h6fytVslSRUjpz+erC9gfbGVp2qNS9X4eXDhx0PsjUalOlRy33H6AjMMDQOzBooBn55QVOKppt97ex/cF2ltRdQnq79LLlKJ6hx4by6NMjdjTfIT2kSwY+gT4029GMNInSsKZR7DGQJmAIILymYFLVSXz0/cgSx3UYXnjlmAIbKxt8ND4/fUaOKbj2xnB0s3SG0pH6+ojyzusdp11OS9suWHB1AUnjJ5UaHCSEYMTJERRPW1xalSSIAwfg8CGDGUiVRoO9fey4aUU3bzzf0PtQb/7O/zetC7aWLUfx7HbazZLrS5hXax6F0xSWLcfoCCHodagXz74+Y0/LPdK3BKMTEzEEEB5TkC1pNroU6cLMizPxDtQjyxTEt4xPgDbgt/XGNwWObxxJGj8p2ZNmj/DXRoYdD3ZgaW5J07xNjXK9n3H3d2f1rdX0LtGbBFYJjH79IPY+2suV11eYWX2mUec+/I6/P/Qb8KORcOF8K2zj3hu5MBFC0GV/F2wsbVhSb4lsOYrnhfsLuu7vSrO8zehVopdsOVJYdn0Zm+5uYmWDleRPFbtKbiZkCCA8pmBMpTG4+7uz7PoyggKRjG0KrMyt0Og1waw3rilwfOtIyfQljVbO2np/K3Vy1iGpTVKjXO9nVt5YSaAukL6l+hr92kFo9VpGnxpNzew1+SvbX9J0AMyZA69eGBoJK1XR0lJusUKxLLu+jOPPjrOm0RqS2agznENDo9PQendrksRPwqqGq2JNmTwiXH19lYFHB9KvZD/aFJRTCY1JTMwQQFimIFPiTHQs3JF/L/37bR/f+KbAyiIkQwDGMgVCCK69uUbJdMYZzPP863OuvrlK6wLGL7lqdBoWXltI24JtSZMojdGvH8TGOxt5/Pkx0/+aLk0DgKsrTJn6o5Fw8f/URsLgePrlKcNODKNn8Z7UzlFbthzFM+7MOK6/vc625ttIEj+JbDlG56PPR5rvbE6JdCWYU2uObDkxggkaAgjLFIysMJKPvh9Zd3vdt88Y1xTEs/BEowvJEIAxTMFrz9d88PlgtPkDW+9tJaFVQhrkMn6y4U6nnbz2fC01ZjRAG4D9OXta5GtBsbTFpOkAGDpMj7+foXegbx8zCsTNsfKhotPr6PxfZ1InTM2/Nf+VLUfxHHt6jJkXZzK12lTKZCgjW47R0el1tNnThgBtADta7JDeLBxTKNAQXP/28UYY60I2BTmS5aBZ3mbMuTwHnV737bPGMwVW5jcJ1L0OY33MmoKghkJjVQi23t9KozyNSBgvoVGuF4QQgjmX51Aze02pgSrLbyzntedrJlWdJE0DwNmzsHPHj2jjSZPU0kBwLLi6gAuvLrC20do4OV0vIrzzekf7ve2plb2W9ORQWdiftee0y2m2Nd9GBrsMsuXEGAo0BEHJdI35EXQUEiGbguHlhvPs6zP2P97/03rjmAIri1Ro9NeIaHRydJoCx7eOpLdNb5Tjf/c+3OPBxwdStgscXjpw891NhpSRVx3wDvRm6vmpdCzcUWrCmVYLffr9qEzNnmlJkiTS5CiWR58eMfrUaAaWHkjlLJVly1E0Or2O9nvbY2FuwYYmG6Q2ysrioPNBppyfwtRqU6mWtZpsOTGKAv/vBh3hyAXUILKmoGT6klTIVIF5V+b9tj7mTUE8i4podMmJaHRydJoCx7eORtsu2HJvC8lskkkZFTz3ylzyp8wvdUzxgisLcPd3lx5gtHQpPHxgaCQsUkxLl7gZOhcqWr2Wjvs6kilxJqb9JT+OWunMuDCD0y6n2dRkE6kSppItx+g8//qc9nvb0zB3Q/4p/49sOTGOAg1BEHsxJB9G3hQMLD2Q86/Oc/v97d/Wx6wpsDKPT6AuNxGNTo4uU6AXeq6/vW6U7QIhBNsfbKdZ3mZG31dz/uzMgccHGFJ2iLSO5y9+X5h9aTa9ivcic5LMUjQAfPwIY8Zpv/992RI12jg4Zl+czfW311nfeL3U46mmwIVXF5hwdgKjK46WfmpGBn4aP5rtaEZym+Ssb7w+TlRHIvwdOjg40KBBA9KlS4eZmRn79u375d87deqEmZnZL3/KlIlME4odcIyomILGeRqTwS4Di68tDmZ9zJkCw7FDHRGNTo4uU+D82RnPAE+jRP/een8LF3cXKUN45l+ZT6qEqWhbUN5w/tkXZxuOG1YcLU0DwOjRAi8Pw3TGjh31lDbOLCqT4t6He0w4O4Hh5YZTNmNZ2XIUzRe/L7TZ3YayGctiX8VethyjI4Sg7+G+PP70mN0td8eZUxURNgQ+Pj4ULlyYRYsWhbimdu3avHv37vufw4cPR1Je1EyBpbkjPYv3ZPO9zbj7uwezPmZMgZWF1bdTBhGLTo4uU+D4xvBzKpGuRBhfH3V2PthJcpvkVMlSJcav9TOffT+z7vY6+pbsi7WltVGvHcQ7r3csuLqAQWUGkTpRaikaAK5fh9WrDf+dIJGWGTNi/zuZiBKoC6TDvg7kSp6LiVUmypajaIQQdP6vMz4aH7Y03RInI6BX31rN2ttrWVZ/WZyaxhjhO0edOnWYMmUKTZuGPI3O2tqaNGnSfP+TLFlUBn5EzRR0LVqYQF0gm+9uDmF99JuCeBbxCNQFfvub8U3BtTfXyJU8V4y7WiEEO5120iRPE6PfNJZdX4ZASJ2WNvX8VOJbxpfaea3XQ5++WoQwbJlMnmhJGnmjGBTLVIep3Ptwj/WN10szkKbComuL2P94P2sbrSVj4oyy5RidG29v0O9wP3oV70WHwh1kyzEqMfJW4uzZs6RKlYpcuXLRvXt33NzcoviIkTcFaW3b0iB3eVbeXBnK+ug1BX9OKjSuKXB8e8wo/QO339/m2ddnRk8WDNAGsMhxER0LdyRlwpRGvXYQLl9dWHFjBSPKj5BaTty4ERyvGcxYztwa+veXJkWx3Hh7g6nnpzKm4hiKpysuW46iufnuJsNODGNAqQE0zN1Qthyj88XvC812NKNQ6kLMrz1fthyjE+2GoE6dOmzevJnTp08zZ84cHB0dqVatGgEBv8/2NxAQEICnp+cvf4In8qaga1FH7ny4w813N0NZH32m4MeWwc8YxxR4Bzbi6psn2Fi+D2N91NnltItkNsmomqVqjF/rZ7bd38Z77/cMKjPIqNf9Gftz9iRPkJx+pfpJ0+DpCUOH//g9W/w/K6yspMlRJAHaADru60jB1AUZU2mMbDmKxivAi793/U2BVAWYVWOWbDlGRy/0tNvTDu9Ab3a13BU3K0kiCgBi7969oa55+/atsLKyErt37w723ydMmCCAP/54eHiE8IgeQogyQojEQohr4VDpJTS6CiLNv2ai/+Hm4VjvI4SoJoRIKIQ4F471fkKIWkIIGyHESSGEEKNPjhZZ5mcJYb2/EKKBEMJaCHEkHI8fKIRoKoSwEkLsD3P1uRenBPaIjXfMhRC7wvH4kUOv14ucC3OKLvu6xNg1Qrpu0WVFRZ1NdYx63Z+5/+G+MLM3E4uuLpKmQQghhgzRCxAChGjUWCtVi1IZcWKEsJpkJe6+vytbiqLR6/Wi7e62ItG0RML5k7NsOVKYeHaiMLM3E8eeHpMtRRox3n2UNm1aMmfOzJMnT4L991GjRuHh4fH9j6uraxiPGPFKgaX5EdoVTMeWe7sJ1IX1zj/qlQIzMzOEECGsj9lKweNPzzA3M/+WOBj56OSwuPvhLk++PDH6dsEl10vcen+LgaUHGvW6PzPuzDgyJ8lM9+LdpWl4+BAWLDT8jsWz1jF/noU0LUrlyusrzL40G/sq9hRMXVC2HEWz/s56Nt/bzLJ6y8iZPKdsOUbn6NOj2J+1Z2KViVJnmsgmxg3B58+fcXV1JW3a4CfmWVtbY2dn98ufsIm4KWhfeBef/QTHntYmuJTEX4maKTDjBYKQDAHEpCm48e4G+VLmI4HVVqISnRwWu5x2kTR+Uv7KatzzyQuvLSR38tzUyF7DqNcNwvGNI3sf7WVilYnS5pkLAf0G6NBpDU/fUSMtyJJFihTF4qvxpeO+jpRIVyJODJSJCg8/PqTv4b50LtKZtoXkHeGVxQv3F7Td05Y6OevE+W2lCBsCb29vbt++ze3btwFwcXHh9u3bvHr1Cm9vb4YNG8bly5d58eIFZ8+epUGDBqRIkYImTZqE8wq3vn28E8a6iJmCQqnLUCBVPrbcT0RI0cm/EnlTYGa2HSH8wlgfM6bgxrsbFE9bnKhGJ4eG+Ha6oFGeRlhZGG/T+rXna3Y77aZ/qf7ShoSMOzOOvCnySp19cOAAnD5pqAikz6hhxAhpUhTLmFNjeOXxivWN18fJY3PhxU/jR6vdrciUOBP/q/M/2XKMToA2gBY7W2BnbcfGJhvjxPChUInoHsOZM2eC3fPv2LGj8PX1FTVr1hQpU6YUVlZWIlOmTKJjx47i1atX4X58D48X33oIkgohbobnK0R4ewqmOkwVCaYmEN4B5YQQtkKIS+F4/Ij3FIw/nV1kmGsmgnoKQif6egoCtAEi3uR4YuGVhT99ViOEaCWEsBTR1VNw9/1dgT3ikPOhaHm88DL65GhhO81WePp7GvW6QVx4eUFgj9hxf4eU6wshhL+/EFmyBX7vHdi5U5oUxXLW5awwszcTcy7NkS1F8fQ+2FtYT7YWd97fkS1FCkHf/423N2RLUQRRaiqMCTw8PL4ZgqJCiGQiOk3B089PBfaI7ffXCyEqipgyBfZnxor0c6zFz42GoRM9puDG2xsCe8TFVxd/Wx+9pmDc6XEiyYwkIkAbEOXHCi++gb4i+czkYuCRgUa75u/8tf4vUWhpIaHT66RpmD1bfDcD5StohF4vTYoi8QrwElnnZxUV1lQQWp3aaBkaux7sEtgjljoulS1FCpvvbhbYI5ZfXy5bimJQcH1kL5ANqM6PbYSQCN/2QfZk2SmWthi7nA4SUkpi8ERs+8DMzAq9SEpkopOjsn1w4+0NzM3MKZKmyG/ro3f7YJfTLhrlbmTUPfRt97fxxe+LtGN+516c45TLKSZWmSitrOjmBvaTDHkFZmaC/y20RFKEg2IZfnw4H3w+sK7ROizM1UbLkHjh/oKu+7vSPF9zehbvKVuO0XH66ESPAz1oX6g93YvJaw5WGgo2BEmB40S3KWiWtxmHnhzCT2NBTJkCM8y+tRTuw5im4EdDYXChLdFjCh59esTDTw9plrdZpL4+MgghWHhtIXVz1iVHshxGu+7P1x9/djxF0xSlUe5GRr9+EGPHCny8DPvhXbpA0aLSpCiSE89OsOzGMmZVn0X2ZNlly1EsGp2G1rtbk9QmKSsbrJQWDCYL70Bvmu9oTpYkWVhab2mc+/5DQ8GGAGLCFDTN2xRfjS8nnp8gpJTEkAmfKfhx7DDi0clRMQU33p361lAYElE3Bfse7SOhVUKqZ6se4a+NLBdeXeD2+9sMKD3AaNf8mdMup3F46cCkqpOk3Tzu3IFVqw02M0EiLVOnqjexn/Hw96Dr/q5Uy1qN3iV7y5ajaMadGcf1t9fZ1mxbnAntCUIIQY8DPXD1dGV3y90kjJdQtiRFoXBDANFtCvKkyEOeFHnY92jft89EvykwVAiCjh0axxQE6upx98NTiqcNa7pW1EzBvkf7qJ2jNjZWNhH6uqiw8NpC8qTIQ41sxj9qGFQdKJmuJPVy1jP69Q0aoP9ALUJveLpOGGdJanlZSopk2PFhuPu7s6bhGrVTPBSOPzvOzIszmVptKqUzxL1IzGXXl7H1/lZWNVhF7hS5ZctRHCbyzIleU9AwV0MOPTmEXui/fSZ6TcGfg4li3hTcdxtFoA6Kp1tNVKKTQ+Ot11uuvrlK4zyNw7U+Onjl8Yq9D/fSv1R/Ke/Ojz87ziXXS1KrA3v3wvlzhq2CzFk1DJQ3k0mRHH92nFW3VjG7xmwyJ8ksW45icfNxo8PeDtTIVkNqIJcsHN84MujYIPqX6s/fBf6WLUeRmIghgOg0BQ1yN8DNx+17TLCB6DMF5mbmwQwmillTcOPtnW8NhfWISnRyaPz36D8szCyM+k55qeNSEsZLKCV1LKg6UDZDWWplr2X06wP4+8OgIT/yCubPtcI6Do5YDwnPAE+67e9GtazV6FG8h2w5ikUv9HTa1wm90LOhyYY4V0X54veFFjtbUDRNUf6t+a9sOYrFxH4roscUlMlQhqTxk3LoyaHf1kePKTDD7Kfqw8/EnCn40VC4i6hEJ4fGvsf7qJKlCkltkobxuNGDn8aPFTdX0KVIFxLFS2SUa/7M4SeHufbmmtTqwIIF4PrSMPypchUtjeT1NCqSf078wxe/L6xuuFptDguFhVcXcuTpEdY3Xk+aRHErH1sv9HTY2wGvQC92tNghbcKoKWBihgCiwxRYmltSK0ctjjw9Esz6qJuC0LMMYsYU/JhQGLXo5JBMgbu/O6ddTht1u2D7g+188ftC31J9jXbNIIKqAxUzVTT6eOYg3r+HiZO/HTM016vHDH/j5POTLL+xnNk1ZpMlSRbZchTLrXe3+OfEPwwuM5g6OevIlmN0Zl6YyaEnh9jUZBOZEmeSLUfRmKAhgOgwBbWz1+bG2xt89PkYzPqomQK9eBZGSS56TUGgLpC7H+7+dMIg+k3BkSdH0Oq1Rj12t8RxCbWy15Jy1HD/4/3cfHdTanVg9Gg9fj6G3oEe3c0oqObzfMcrwItu+7tRJUsVepaIe+fow4t3oDetdreiQKoCTP9rumw5RueMyxnGnhnL2Ipj46QZiigKNARBGQZOYayLmimomT0VAsHJ5ydDWB95U6DTr8XCPLgtg5+JPlNw3+0+gbpAiqf7+chh9JqCfY/3USJdCTImzhjG40QPN97ewPGtI31K9jHK9X5GL/RMODuBalmrUSVLFaNfH+DmTVi3zmBEEtlpmTxZLQ38zIiTI/jo+5HVDVfHuf3wiDDwyEDeeL5hW/NtWFvGreaTt15vabW7FVWyVMG+ir1sOSaBAp9JQS849YD7YayNvClIa9uaAqmyc8A5tBfKyJkCnciAhZk7kYlODp3gTUHIEwqjxxQEaAM4/OQwjXM3DuPro4+l15eS0S6jlKN+ex7u4c6HO0ysMtHo14ZvaYb9tQhhMAETJ1iSMqUUKYrkjMsZll5fyszqM8mWNJtsOYpl2/1trLm9hv/V+R+5kueSLceoaPVaWu9ujaW5JVubbVWnVoYTBRqCZN8+pgOqEpOmIIHlC3Y82BHKfj9ExhTo9K2wMI9HZKKTI2MKQp9QGHVTcMrlFN6B3kbrH/jq95Ut97bQo3gPoz+R9UKP/Vl7amavSYVMFYx67SB27oTLlwxbBdlyaOgnZ1qzIvEO9Kbr/q5UylxJSvXIVHD56kLPgz1pVaAVnYp0ki3H6Iw9PZaLry6yvfl2UiVMJVuOyaBAQxDEASA9MWkK2hTMgE7oeOH+XxjrI2YKdMIcC7PURCY6OTKm4Ma702FMKIyaKdj3aB45kuUgX8p8YXxd9LDhzgY0eg3dinUzyvV+Zu/DvTz4+IAJlScY/doAfn4wZNiPY4YL5lkRT22K/s6ok6N47/1e3SoIBY1OQ5s9bUhmk4xl9ZbFudMX+x/vZ+bFmcysPlOaqTdVFPyMSobhhTHmTEHbQmcAuOjahpCyD34QflOg0+uwMLckIoFIkTUFgbrq3P3whOJpw5ocGDlTEKhtzNrbJ8mbIolRbixCCJZeX0rTvE2NfjxKL/RMcphE9WzVKZexnFGvHcT8+fDG1XDM8K8aOurJGY6oSM69OMcix0VM/2u6lEZTU2HiuYk4vnFka7OtJI6fWLYco/L863M67utI4zyNGVJ2iGw5JoeCDQFAcmLSFKRIkJX8KfNy7oUtoQUi/SB8pkAndFiYWRDRlMTImIL7bmN/mlAYuZTEkLHk/KtuaPXQKPdNopqSGB7OvDjD48+P6V3C+PPoDzw+wN0PdxlfabzRrw2GNMMp034cM5w/10I9ZvgNn0Afuu7vSoVMFehfur9sOYrljMsZpp2fxqSqkyiToYxsOUbFX+tPi50tSG6TnLWN1sa5ykh0oHBDADFtCiplroLDKzvCSkn8QdimwFAhCNr7jllTcOPtvW8NhdWJSnRySJxyOUdym+R0KhI90clhsfT6UvKmyEvlzJVj9Dq/I4RgksMkqmSpQsXMFY167SAmTBD4eht6B7p1NaNAASkyFMmY02N44/VGzSoIhU++n2i3tx1VslRhRPkRsuUYnUFHB/HA7QG7Wu6Kc6FN0YWJPLNizhRUylwJ589Pee+9gegyBT8qBEHEnCn40VC4l6hEJ4fEAecD1M1ZFwvzzUQ1Ojks3nq9Zd+jffQu0dvo7v7wk8PcfHeTcZXGGfW6QTx8CCtWGppbbRKqxwx/5sKrCyy8upCp1aaSM3lO2XIUiRCCrvu7EqANYGOTjXGuq37jnY0sv7GcxXUXB3PaSiW8mIghgJgyBZUyVwLg/MvbhBWd/CshmwK90AfzLiZmTMGPCYVRi04OzhS8cH/Bfbf7NMjVgOiITg6LVTdXEc8intFzC4QQTHaYTPmM5amapapRrx3E0GE69DrD78yYUWqaYRC+Gl+6/NeFMhnKMLC0muoUEkscl7D/8X7WNlpLerv0suUYlftu9+l1qBcdC3ekS9EusuWYNCZkCCAmTEE623RkT5qd86/OE1ZK4p8Ebwp+3TL4meg1BX9OKIxeU3Dg8QGszK2olSMo2CfmTIFWr2XFjRW0LdjW6I1QJ56f4Oqbq4yvPF7KvuOpU3DksOH3JXVaDYMHG12CYhl3ehyvPF6xptGaOPeuN7zc/XCXoceH0q9kPxrkbiBbjlHxCvCi+Y7mZE+anSX1lqh9A1HExAwBxIQpKJOhDNfeXPv2t6ibgj+3DH4m+kxB8BMKo88U7HfeT5UsVbCztvtpfcyYgoPOB3nj9cbozYRCCCaem0jp9KWpka2GUa8NoNP9mmY4a4YVCYIbJxEHueR6iXlX5jG56mTypMgjW44i8dX40np3a3Ilz8XsmrNlyzEqQgi6HejGW6+37Gq5K4Q5LCoRwQQNAUS3KSiVvhS33t8iUBf47TNRMwU6/dsw3s1EjykIeUJh1E2BZ4An516c+7Zd8DvRbwqWXl9K6fSlKZq2aJQfKyKceXGGS66XpFUHNm6E+3cNxwwLFdHSrp3RJSgSP40fXf7rQqn0pdTjY6Ew5NgQXL66sK35NuJbxpctx6gsdlzMjgc7WN1wdZybxBhTKMYQLF68mHz58tG6daFvn3EO4yuizxSUSl/qe/n9B5E3BTpxBAsz3zDWR90UhD6hMGqm4NjTqWj0mlBKkNFnCl64v+DEsxP0LG78kJpJ5yZRPG1x6uQwfvCJjw+MGPWjOjB/riXminlGymXC2Qm4uLuoWwWhsOfhHpbfWM6C2guMNjRMKVx9fZUhx4YwsPRAWuRvIVtO7EEoDA+PpwIQHh4phRAPw/EVn4QQhYUQKYQQ98Kx/osQooQQIpkQ4qYQQgg/jZ+wnGQpllxbEpwiIUQZIURiIcS1cDy+l2i/J5WouMZCCHEpHOt9hBDVhBAJhRDnwrHeTwhRSwhhI0qsyCU67u0Yxnp/IUQDIYS1EOJIOB4/UAjRVLTfYyYKLMkcjvUaIUQrIYSlEGJXONb/ydhTY4XtNFvhHeAdqa+PLOdenBPYI/Y93GfU6wYxaZIQhuQCIerV10rRoEQc3zgK84nmYprDNNlSFMtL95ciyYwkotn2ZkKv18uWY1Q++XwSGedmFGVWlREB2gDZcmIVCnw/EpTikgKoAjwKY33UKwXxLeNTKHUhrr29Fsz6iFcKAnQVsLa0JTLRyeGtFATqKnD3gzPF0yYKY33EKwU6/WYOP7GiQS5XoiM6OTS0ei1rb6+lTcE2JIyXMEJfG1UmO0ymcOrCNMzd0KjXBXj3DqbNMAwhMrfQ8+9s9V0wGBplu/zXhcKpCzOs3DDZchSJVq+l3Z522MazZWWDlXGqkU4v9LTf2x5fjS87mu8gnoU61zs6UaAhCOIABnNQBWOYglLpSv3UWPg7ETMFAVod1haliUx0cnhNwX23id8mFK4kKtHJwXH59XU++wXSIFdFoiM6OTSOPj3KG683dC/WPdxfEx1ccr3EyecnGVdpnJQb6rhxAn9fwxCiXj3NyKP2zAEw88JMnD46sbrhaqwsrGTLUSRTHaZy0fUiW5ptIalNUtlyjMr089M5+vQom5tuNloUe1xCwYYgJYYXOuOYgpLpU/Hw40O8A71DWB9+UxCgCyCeRQIiE50cXlNw4+39bw2FUYtODo4Djw+QKmEqSqU/SlSjk8Ni5c2VFE1T9LeTEjHPZIfJ5E+ZnyZ5mxj1ugD37sGatYYhRAlttdjbx513eKHh9NGJyQ6T+af8P0ZvLjUVLry6wCSHSYyvND7OBfecfXGW8WfHM7bS2J+OQqtEJwo2BACpMJYpKJJmPgLBfbfQviZ8piBQF4i1pTWRiU4Oryn40VB4gKhEJwfHfuf91MtZDwvz+EQ1Ojk03nq95ZDzIaNXB268vcHRp0cZW2mslDG4Q4bpEHrDdceNsSRlyjC+IA6g0+vour8r2ZJmY3xlOVkSSsfd3522e9pSLmM5xlQaI1uOUfng/YHWu1tTOXNlaUmkcQGFGwIwlinIlzIH5mZw98PBMNaHbQoCtAFYW1h/+1vMmIIfEwqjFp38uyl4+uUpjz49+um4YdSik0MzBWtvrSWeRTzaFGwTxmNGL9MvGNLyWuQzfnfysWNw8rihXyBdBg0D1eF7ACy6toirr6+yuuHqOHd8LjwIIeh9qDce/h5sarIJS3NL2ZKMhk6vo+2etggh2NJsi3rqJAYxAUMAxjAF8S1Pkjt5fO5++JfwRCeHZgoMWwY/N7tEryn4c0Jh9JmCA48PEM8iHjWy/zykJ/pNgV7oWX1rNS3ztzTqZMJHnx6x5+Ee/in3j9FvLDodDB7645jh7JlWxFdf+3j+9TmjT4+mb8m+lM9UXrYcRbLp7ia23d/GsvrLyJwks2w5RmWyw2TOvDjDlmZbjB6JHtcwEUMAxjAFhVLX4e4HK8KTkhiaKfi1QhBE9JmC4CcURo8pOOB8gGpZq5Eo3u+nF6LXFJx2OY2Lu4vRtwtmXpxJWtu0Rs9LAMMQoocPDI1yRYtradXK6BIUhxCCHgd6kCJBCqb9NU22HEXy/Otz+h7uS/tC7WlVIG790px8fpJJ5yZhX9mealmryZYT6zEhQwAxbQoKpy7J3Q/mCJGVqJiCHz0EvxM9piDkCYVRMwXu/rs4/+p8CNMJITpNwcqbK8mbIi/lMpYL4zGij1cer9h0dxNDyw4N4f9PzOHnB6PG/KgOzJujDiECWHt7LadcTrG8/nJsrW1ly1EcWr2WtnvakjJhShbVXSRbjlF55/WOtnvaUj1bdUZXHC1bTpzABG9JMWcKCqUuhEeAJ66eawlPdLKBP03Bn1sGPxN1UxD6hMLIm4KjT1uj1WtDMQQQHabgo89H9j7cS/di3Y165G/OpTnYWdvRo3gPo10ziEWL4P1bQ3Wgdh0dlSsbXYLieOv1liHHhtChcAdq56gtW44imXxuMo5vHNnUZNNvmSKxG61eS+vdrbE0t2RT001q34CRMEFDADFlCgqlNoxNvvP+BeGJTv7Br6YgQOsdzJbBz0TNFNx4d/an/oHgiJwpOOCcmiJpzMiY+EEY66NmCjbcGYaZmRntC7cP4+uij48+H1l5cyUDSg0IZjskZvnyBSZPNQwhMjMTzJqp3tyEEPQ93BdrS2vm1ZonW44iufDqAlPOT2F85fGUzVhWthyjYn/WnvOvzrO12VZSJUwlW06cQYGG4OG3j8/CWBf9piCDXQZs49ni9NGJ8KQk/soPUxCg+4y15ccw1kfOFATqSnL3w2OKpw2rES9ipkCjM+fwEx8a5MpBdEQn/4nBFOj1TRl/ZgMl0mYlRYIUYXxN9LHg6gLMzczpX7q/0a4ZxLRpAi8PQ1d4hw6CggWNLkFx7HLaxb5H+1hcdzHJbJLJlqM4PPw9aLenHWUzlI1z5fKjT48y9fxUplSdQqXMlWTLiVMo0BAETd6qBzwJY230mgIzMzNyp8jN48+Pf9IScVMQqDMjnsVqIhOdHDoJuO825duEwhVEJTr5dy66XsTd350GudYSHdHJwWPJ2Zdd8dVC83zORFd0clh4Bniy6NoiepXoZfQXn1evYOH/9ABYxdMxaZICn3JG5rPvZ/od6UeTPE1olreZbDmKpM/hPnz1/8qmpnHriOFrz9e029OOOjnqMKLCCNly4hwKvDsFHStJhOFF27imIHfynw0BRMYUBGgtsLZIQ2Sik8MyBTfeOn1rKIxadPLvHHh8gDSJ0lA8XVmiGp0cGlvv7SRz4swMLNOS6IpODouljkvx0/pJidEdN06PJtCwRTBwgDmZMhldguIYcnwIgbpAFtddHKfm8IeXTXc3seXeFpbWW0qWJFlkyzEaGp2GVrtaYWNlw4YmG6QMDYvrKPgnfhCwxdimIHfy3Dz+9Pi39eE3BXqhR6PXYG05hMhEJ4dlCn40FB4mKtHJv3PA+QD1c9b/9iSMWnRySKbAJ9CHbQ+20alIJ8zNNhEd0clh4afxY+6VuXQs3JF0tuli7DrBce8ebNxoeMGzTaxl9Gj1xe/o06NsuLOBuTXnktY2rWw5isPlqwt9DvWhXaF2Rh/YJZuxp8dy9c1VtjffbtTtRJUfKNgQpAFOY2xTkDtFbj77feaz7+ff1ofPFARoAwCwtkhCRFMSw2MKfkwojFxKYnCm4PGnxzz58uS31L/oNwW7nHbhHehNpyKdiGpKYnhZe3stn3w/8U/5f2Lk8UNj+AgdQhhMwLgxliSNWzk0f+AV4EXPgz2pnq36t98BlZ8JOmKYPEFyFtWJW0cMDzofZNalWUz/a7pRjyKr/IqCDQFAWoxtCnInzw2A82fnYNaHbQp8Nb4A36J8Ix6dHJop+HNCYfSYggPOB4hvGZ+/sv312/roNQVrb6/lr6x//VQGjVlToNFpmHVxFi3ztyRHshzR+thhcfYsHDti2CpIm15Df+P3MiqOUadG8cn3Eyvqr1C3CoJhisMUrr25xuamm406vVM2L91f0mFvBxrkasDQskNly4nTKNwQgLFNQc7kgQC/9RH8TOim4LshsEr47TPRZwqCn1AYdVOw//F+qmerHsJcg+gxBU+/POXcy3N0LtL5t/UxZwq23d/GS4+XjCw/MtoeMzwIAUOGab//ffpUdUTx+ZfnWey4mGnVppE1aVbZchTHJddLTHaYzLhK4+LUO+RAXSB/7/obO2s71jVepxpFyZiAIQBjmoIEVnXJlDhtMH0EPxOyKfDR+AD89uIaPaYg5AmFkTcFn33rc9H1YhjDiKJuCtbdXkdi68Q0zds0mPXRbwqEEMy6NIs6OepQOE3hKD9eRNi1C27dMHSG582voV07o15ecfhr/el+oDtlM5SlX6l+suUoDg9/D9ruaUuZDGXiXIrhyJMjufnuJtubb1ePnyoAEzEEYExTkDPZJ559vRnG+uBNQVCF4M9321E3BaFPKIycKTjyNCd6oad+rrBKlJE3BTp9U9bdXkbrAq2xsbIJYX30moJjz45x3+2+0XsHNBr4Z+SPEcX/zrLCIo7PIZp2fhrPvz5nZYOV6sS5YOh7uC9f/L7EuRTDfY/2Me/KPGbXmE3pDKVly1HBpAwBGMsUZEliywv304Q3OvlnU/BrD8HvRM0U3Hh3LowJhRE3BQecc1E8rR3pbDsT1ejkPzGYgpPPS/PG6zNdiuYMY330mYLZl2ZTIl0JKmc27ozglSvhxXPDiOKKlbTUqWPUyyuOB24PmHFhBiMrjCR/qvyy5SiOzXc3s/neZpbUXRKntlJcvrrQaV8nmuZtyoDSA2TLiVGef30uW0K4MTFDAMYwBVmS9MTFXRDelMSfTYFP4B0guApBEJEzBYG6Qtz98IjiacMqq4XfFATqAjn69AQNcw8kOqKTg8eKNbfTkj+lHSXSjSA6opPD4ua7m5x2Oc3wcsONuifp7Q3jJvxUHZhtSVzeEtULPd0PdCdb0mxxbtpeeHD56kKfw31oU7ANbQu1lS3HaARoA2i5qyXJbJKxuuHqWN034KvxpdkO0xm+ZYKGAGLaFGRNkp9Pvjq8A9MQUVPgqzE0sP1oKgyOiJuC+24zvk0oXE5UopN/5vzL83gGeNIgVxOiIzo5OL74fWHfo/10KToWM7OGREd0cljMvjSbrEmyhtCvEHPMmwdfPhmqA82a6ylVyqiXVxzLri/j8uvLrGiwgviWcbyr8je0ei3t9rYjmU0yltRdIluOURl2fBh3P9xlZ4udJImfRLacGEMIQe9DvcPoR1MWCjQEQcf9XoSxLuZMQdCxuJfuywhvdHKQKfDVpAQggVVwxxZ/JmKm4Mbbhz81FEY+OvlnDjgfIINdhm+PGbXo5JBMwZZ7W9ALPe0KdSS6opND44X7C3Y+2MmQskOMuh/7+TPMnG04WWBuoWf6NAU+tYzIG883jDw5ku7Fuqvz6INh2vlpXHl9hU1NNsWpI4Y7H+xkkeMi5tac+9tpqdjH8hvL2XBnAysarJAtJdwo8K4V9M66HuASxtqYMQVBhuCFuzvhjU42kBQfTX/MgPiW9YhMdHJI/GgoPEZUopODEEKw//F+6ues/1PJLvpNwZpba6ifq/63xLKoRyeHxbzL80gcP3EwxxtjlhkzBD5eBgPSpbMZOcNql4jl9DvSj4TxEjKrxizZUhTHZdfLTDo3ibEVx1I+U3nZcozG0y9P6bq/Ky3zt6RPyT6y5cQoV15fYcCRAfQr2Y92hUznmJFiDMHixYvJly8fJUs2/vaZeBhetI1vCtLapsXK3IoX7i8Ib3RyEL4aMxJYJcTMLDuRiU4OyRT8mFAYtejkIFPg9NEJF3cXGuT+/bhh9JmCW+9ucev9LboU6fLT+pgzBV/8vrDq1ir6luwbQlNnzPD27a8BRhMmxN490fCw9+Fe9j3ax8LaC2N1STgyeAZ40nZPW0qlL8W4yuNkyzEa/lp/WuxsQZpEaVjZYGWs7htw83Gj+Y7mlExfkjm15siWEyEUYwj69u2Lk5MTjo5BL4gHkWUKzM3MyZwkMy7uQdcNvynw1fh+ayiMXHRycKbgzwmFUTcFB5wPkMAqAdWyVgtmffSYgrW315ImURrq5Py91T5mTMFSx6Xohd7oZ90nTRIEBhiO0/Xra06GDEa9vKLw8Peg7+G+NMjVgOb5msuWozj6H+nPJ99PcS7FcPDRwTz8+JAdLXZgZ20nW06ModVrabWrFVq9lp0tdhLPIp5sSRFCMYbgT9IDZ5BlCrIkyfKtQhBE+EyBT6DPN0MQuejk4ExB8BMKo2YKDjhvpka2GqE0e0XNFARo97P53mY6FOoQwo0vek2Bv9af/137Hx0Ld/y2PWEcnj2DVasFADYJtYwaFXvf+YSHUadG4RXopSYZBsPOBzvZcGcD/6vzP7IlzSZbjtHYem8ry24sY2GdhcEMVYtdjDk1BoeXDmxvvt3oYWrRgYINAUAGZJmCDHYZeOv19rf1YZsCX43vT+Xq6DEFIU8ojJwp+OhTlMuu92mYO3cY6yNvCvY/bsYXvy90LhraXn70mYKNdzbi5uNm9Fno4yfo0WkNT6N/hlmSMqVRL68oLr66yNLrS5lWbRoZE2eULUdRvPF8Q8+DPWmerzkdCneQLcdoPPn8hB4He9C6QGu6F+suW06MsttpN7MuzWJWjVlUzmLc+SfRhcINAcgyBWkTpQ3GEEBYpuDHlkEQUTcFoU8ojLgpOPykPQD1ci4iOqKTf8VgCtbcTkrZDGbkSfEijPVRNwV6oWfO5Tk0yduEnMmN18137x5s3WJ4F5w4iZYhQ4x2acURoA2g+4HulE5fOtY3jEUUvdDT6b9O2FjZsKzesjhTOfHX+tNyV0vSJkrL8vrLY/X3/ejTIzr914mW+VsyuMxg2XIijQkYApBhCtLZpuOd9zuEEMGsD9kU+Gh8gnnhjpopuPHOIYwJhREzBQecj1MqfUlSJypDVKOTg+O150eOP/tMl6IFia7o5F/51RQceDyKx58fM7zc8DC+LnoZM/ZHvPHYMZbYxd6t0TCZeXEmT748UccTB8P/rv6Pk89Psq7ROpInSC5bjtEYdnzY974BW2tb2XJiDK8AL5pub0pGu4wmP2jJRAwBGNsUpLPVE6gL5IvflxDWB28KvAK9QmiaiZwpCNTl5u6HhxRPmyKM9eEzBYG6QI49O0b9XA2Jjujk4NhwZwPxLePTMv9Jois6+U9+mIKu+2eRO3k6ymQoE8bXRB9Xr8KB/YYXvlRpNPTta7RLK46HHx8y9fxU/in3DwVTF5QtR1Hcd7vPiJMjGFh6IDWy15Atx2jsdtrNYsfFzK01N1b3DQgh6Lq/K689X7P3770kipdItqQoYUKGAIxpCtLZ2gOEsG0QxJ+mwDPAM5Qu2oibgvtus79NKFxGVKKTg3B46YB3oDf1c9UnOqKTf0cIwZpba2ierzl21imJjujkkLHE4WV3PvtBi3zviM7o5LAYMfJHvPEkeytsQspsiuXohZ6eB3uSKXEmxlYaK1uOogjQBtBuTzuyJ8vO9L+my5ZjNFy+utB1f1ea52tO7xK9ZcuJUeZenstOp52sb7ye3CnC6slSPiZmCMBYpiCdraE77K3X1TDW/2oKPAM+YBcvtNpxxEzBjbePvzUU5iMq0clBHHI+RHrb9BROHRQJHL2m4Pyr8zz7+uyn2QNRj04OjcWOy8mRLAf2VVoQXdHJYXHqFJw7azg5kTmrhi5dwviCWMyqm6s4/+o8K+qvCCXJMm4y7sw4nD46sbnp5jjzswnUBfL3rr9JZpMs1s8bcHjpwIiTI/in3D80ydtEtpxowQQNARjDFKRJZHihe+s1lIhEJ3sGPMbWOiCM9eE3BT8aCk8SlehkMLx7P+B8gHo56/32RI0+U7D29lqyJ83+27jamDEFL9xfsMtpF4PLDMbCfDPRFZ0cGkLAPz9VB6ZNscLKKsYup2jeeb3jnxP/0KVIF6pmrSpbjqI4++Is/176lynVpsTqkvnvjDo5itvvb7O9+fZYPZTqndc7/t71N5UyV2LqX1Nly4k2FGgInn376BrGupg1BfEsMpAiQXLeeccnItHJXgHm2FlvJzLRycHxY0Jh1KKT4TLOn5159vXZt+2C34m6KfAK8GLHgx10KtIpmHcG0W8KFl5dSGLrxHQs3JHojE4Ojf/+g5vXDdWBvPk1tGoVI5cxCQYcHYC1pTWza86WLUVRuPu702FvByplrmT0Y7AyOfD4AHOvzGVWjVmUTF9StpwYQ6PT8PeuvzHDjK3NtsaqAVMKNARBb7fqA6/CWBuzpiCdbXreetUnItHJngFW2FknITLRyb+bgj8nFEbNFBx6shhrC+sQphNCVE3BjgcT8dP4fXuBDo7oMwUe/h6surmKXiV6/TT3IWZNgU4HI0f/iDeeMc0KcwU+g4zB/sf72eW0iwW1F5DMJqxI7rhFv8P98AjwYH3j9XHmxIWrhyud/utEw9wNGVh6oGw5McroU6O5/PoyO1vsJHWi1LLlRCsKvJ1l+vZRj+FFVZ4pSJkgJR99vQlvSqJGp8FP64ed9SgimpIYnCkIfkJh5E3BQeclVMtaLIw5/5E3BWtvz6Nm9uJhDKWJHlOw+tZq/LX+wYwpjjlTsH07PH5oMKwlS2lp8HsMRBzBO9Cbfof7USdHHf7O/7dsOYpi2/1tbL63mSV1l5A5SWbZcoyCRqeh1e5WJLRKyNpGa2N138Ceh3v49/K/zK4xO1YGUynQEARxCNmmIEWCFHzy/UR4UxK9Ar0AsLNOR0RTEoMzBSFPKIy4KfDw38r5V3rq57pJdEQn/0p8Hn+axUVXPV2K3iG6opN/8Ksp0Or3seDqAloVaBXCeNDoNwVaLYyb8KM6MH2aJbH4vhcqE85M4JPvJ5bUWxKrb/4RxdXDld6HevN3/r9pU7CNbDlGY/yZ8Vx9fZVtzbfF6mqR82dnOu3rRIt8LWJtFUTBhiATcBaZpuCHIYDwmALPAE8AbOPZEtGUxOBMQegTCiNmCo4/u4RWL6iXsxBRjU4OjrW3t5A0flIa5q5MdEUn/8oPU7DnYXNeebxiSNnQRgNGrynYsgWePzVUBypU1FItpF2XWM7t97dZcHUBEypP+B4TrvJjGmGieIlYWm9pnDFKx54eY8bFGUytNpVyGcvJlhNj+AT60GxHM9LZpjP54UOhoWBDAJAZmabgV0MAYZmCIEPwYw5B1EzBjXfnw5hQGH5TcOjJIQqkKkDmJKeJanTy72j1WtbfWU/bgm2Jb3mA6IhODh4rhNjKnMt2VMtqRpE0YTWeRo8p0Gh+rQ5MmRw3qwM6vY5eB3uRJ0WeMMxY3GP+lfmcdjnNukbrSGqTVLYco/DW6y3t97ando7aDC9v3CmhxkQIQa9DvXj+9Tm7W+6O1VMXFW4IQKYpCDIEv44vDtkUeAUEbRn8PIcgcqYgUJeFux+cKJ42rKaVsE2BTq/j8JPD1MtZj+iITv6dY0+P8d77PV2KdiG6opND4pKrI9fefGVImTJEZ3RyaGzYAK9eGKoDVarqqGyauSVRZsWNFVx9c5Xl9ZdjZRFHz1oGw70P9xh1ahRDygzhr2x/yZZjFHR6HW33tMXKwooNjTdgbmYCLyWRZPmN5Wy6u4mVDVaSP1V+2XJiFqEwPDw8BCA8PDx++5cXQogsQohsQoiX4XgkVyFEDiFEJiHE83CsfyuEyCOESC+EcBZCCLH13laBPcLT3zOY9R+EEAWEEKmFEA+FEEIcdj4ssEe89ngdzPpPQojCQogUQoh7Yaq58faMwB5x8ZWtEOJmOPR7CCHKCCESCyGu/fIvl10vC+wR51+e/+mzXkKIikIIWyHEpXA8vo8QopoQIqEQ4twv/9J0e1NReGnh39b7CSFqCSFshBAnw/H4/kKIBkIIayHEkRBXNd3eVOT+X26h0/sLIZoKIayEEPvD8fgaIUQrIYSlEGJXONYbCAgQIn3GQGGYQCDExYvh/tJYxTuvdyLx9MSi23/dZEtRFH4aP1FwSUFRcElB4afxky3HaEw4M0GYTzQXZ13OypYSo1x9fVXEmxxP9DvUT7YUo2BCts74lYIUCQz5AZ/9Pgez/s9KwZ9bBj8TsUrBjbdPvjUU5iAq0clgmE6YNH7S32b9R0+l4KPPR/Y/3v+tOvAz0V8pePblGXsf7mVwmcGYm1kTXdHJobF2LbxxNbwbrlFLR7nYu00aKkOODcHKwoqZNWbKlqIoxp4ey+PPj9nUdBPxLePLlmMUTrucZtK5SdhXtjfZmN/w8Mn3Ey12tqBomqLMqTVHthyjYEKGAIxtClIk8AH4rY/gZ341BZ4BjzHDLJRjfeE3BT8aCk8RlehkgINPDlInZ51gBmhE3RRsvrcZczNz2hZsG8z66DUFC68uJJlNsp/y5KMenRwaAQFgP+mn3oFJceNM+e8cf3acrfe3MqfmnFjdRR5RTrucZs7lOUyrNo1CqQvJlmMUPnh/oO2etlTNWpXRFUfLlhNj6PQ62u1ph6/Gl50tdhLPIp5sSUbBxAwBGNMUJLfpCYRmCOBnU+AZMJtE8RKEsZ8WPlPwY0Jh1KKT33ge4vb729TPGdx0QoiKKRCiDmtu/Y9GuRuFEusaPabA3d+d1bdW06dkn9/mwsecKVi1Ct6/NVQH6tbTUapUGA8dC/HT+NHnUB+qZqlK+0LtZctRDF/9vtJxX0eqZqnK4LKDZcsxCnqhp/3e9uiFns1NN8fqoUtTHKYYjHCzrWHMVYldmKAhAGOZguQJEgPw2fdBGOsNpsAr0AY7az8ikn0QnCn4c0Jh5E3BoSctMDczp1aOWqGsj5wpuPEuH/fcntO5SIkw1kfdFKy4sQKNXkOfkn2CWR/9psDPDyZN+VEdmBxHqwPTzk/D1dM1Th2lCw99DvfBO9Cb9Y3Xx+qGup+ZcWEGJ5+fZHPTzaRJlEa2nBjj6NOjTDw3kUlVJ1E9W3XZcoyKAn+Tg16s34WxLuZNgY3lGSzNwTNgMuEJRHL3b4ydtRURyT4IzhQEP6Ewcqbg0JP4lM9oRjKbZ2Gsj7gpWHOrKOltramZfSLREZ38Kz9MgUbXiIVXZ9G2YNtQbkTRawpWrAC394bqQMNGOooVC+PhYiGPPj1i5sWZjCw/MlZEu0YXW+5tYdv9bSyttzTOvHs8//I8486MY3TF0bH6RfKl+0va7mlLnZx1YvWWSEgo0BAEHfGrC7wNY23MmgIzs3TYWSfFMyAe4ck++OofQDKbwkQk+yA4UxDyhMKImQI/jRUnnwdQL2c6oiM6+dfH9mPr/Z10LDwAC/MyREd08p8YTMFOp/y88frM4DJhBaZEjynw9YXJU+N2dUAIQa+DvcicJDOjKo6SLUcxvPZ8Td/DfWldoDWtCsSNZKtPvp9ovbs15TOWx76KvWw5MUaANoDmO5tjZ23HxiYb40zl52cU+B1n+/YxAMOLqlxTYGedGM+A1oQn++Cr31eS2oRvzPEP/jQFoU8oDL8pOPviLL4aX+rn2klUo5N/Z9+jfbj7u9O5aA+iKzo5OISIx5zLUCNbCgqmHkx0RSf/4E9TsHQpfP5oqA40a66nUNzoF/uFDXc2cO7lOZbWWxpnuufDQi/0dP6vMwmtErK47mLZcoyCXujptK8T/lp/tjTbEquS/X5n0NFB3Ptwj10tdsXZ5lkFGoIgDgL+yDYFdtZ2eAToCE/2wVf/rySNn5TwZh/84FdTcOPdhTAmFIbPFBx6cojMiTOTL2Upohqd/Dtrbq+hYqaK5EiWg+iITg6J86/Oc/PdLYaWXUt0Rif/yg9T8P79AEaN1gJgZiaYaK/gp0gM8dn3M8NODKNNwTaxujwcUZY6LuXk85OsbbQ2zkwjnHd5HoeeHGJDkw1ksMsgW06MsfHORpbdWMaiuot+26qNWyj4bpcNw4u2XFNgZ233bb5A2NkHX/2CDAFE1hQE6tJy98MDiqdNG8b60E2BEIKDzgepn6v+t2awqEUn/2wKXrq/5NTzU7/NHogZUzDn8hzypcxHzez1iK7o5OAxmILOnQ+hCTS8CypcWJA/lg8mC45/TvyDVq9lbs25sqUoBufPzgw/MZy+JftSI3sN2XKMwtXXVxl5aiTDyw2nbs66suXEGPc+3KPnwZ50KtKJrkW7ypYjFcUYgsWLF5MvXz5Klvx5nzg7sk1BYuvE3wcOhWUKvvp//e2dQ8RNwX23+QTqoHi6pUQlOtnpoxMvPV5+G1ccRPSYgvV31pPAKgHN8zX/bX30mgLnz84ceHyAIWWGfDM10ROdHBJeXpacOBG0PyCYOvVSGI8f+zj/8jxrbq9hxl8zYl3We2TR6rW039ueDHYZmFk9bgxmcvd3p9XuVhRPW5yp1abKlhNjePh70GxHM3Ilz8Xiuovj/EkaxRiCvn374uTkhKPj7y9Sck3BjwpBECGbgi9+X36qEAQRMVNw4+2zbw2FmYhKdPJB54MksEpA1axVf1sfNVOgFxdZd3sdLfO3JFG8RMGsjz5TsODKAlIkSEHbQj8PPYo5U7BkCeh0hqdE3ryvqVu3KtERnWwqBOoC6XWoF2UylKF78e6y5SiGGRdmcP3tdTY02RDK0LHYgxCCngd78tXvK1ubbY21uRVCCDr/1xk3Hzd2tdwVQs9W3EIxhiB05JmCPw0BBGcK/LX++Gv9Q9hbDL8p+NFQeIaoRCcfenKI6tmqh9AQFnlTcOFVDVzcXehUpFMo66NuCr74fWHt7bX0Ldk3mO8h+k2BtzdMn/mtd8Bcz549aYmu6GRTYe7luTz+9Jjl9ZfHyQ7r4Lj57iYTz01kVIVRv43+jr2svrWaHQ92sLLBSrImzSpbTowx5/Ic9j7ay/rG67/1QqmY0LNejikI3hDA76bgq98NgGAqBEGEzxT8mFAY+ejkL37VuOh68bftgt+JnClYd9uObEnNqJgprG7jqJmC5deHoxf6EAYRQXSbgsWLweOr4Xtq1Qry5Ime6GRT4ZXHKyY7TGZg6YFxZgxvWPhr/Wm/tz0FUxVkfOXxsuUYBaePTgw4MoAexXrQIn8L2XJiDIeXDow8OZKR5UfSKE8j2XIUgwkZApBhCkI2BPCzKfjq3xQgjOMqoZuCPycURs4UHHualP+zd9bhTZ3vG3+SuuMuQ4c7DMY2ZDBkTBhjyDaYj23M9feFwam3tLRIW9zd3QfF3d2d0pZS9yTn/v2RhNhJctrm5OQE7uvi2tXTJycvo00+ed/nuW8WLL3dqK6V+pJBQW4x0cpLufRZ6zokk/UlW0QnG0oNBcWq12jq8bk0ovWbVNmnsoV620CB8e7AuH+1vxbPDxT8sv0XKudZzqnnzEuqsXvG0q30W7Ro4KLnwsu+QFFAQ1YPofrl61Ns31ixlyOYHuc8piGrh9Abdd+g4J7BYi/HoSQxICCyNxR4uRZQviLfQr0aCjIK1Nva5b3MwYNW5qGA26Gw5FCw+UZ7alPNi2r6D6eypCQaa+2VtZSnyKMRrcuekmhenrT84hB6nEv0S+fdZIuUREOZQoHp7oB+vfNDwbYb22jd1XUU81YM+Xn4ib0ch9C+u/so5kgMhfYMpeZVno9Rk993/k4302/S8g+XO+15ukKloCGrh5CMZLRs0DKn9lUolcRNXzZVVlYWiAhZWVlWKm8CqA2gEYBHPO58F8BLAOoDuMej/gGAhog/Xh5uQW5WqzddWwBiCEnZ1QBc53H/FAAtAFQFcAUAMPPkTMgD5cgrzuOoTwPQGkAlABfM3lWhUqB8RHmM3f07gA4AKgA4zWM9WQA6AwgAcJyzovv87ui5oKfmqxwArwPwA3CYx/3zAPQE4ANgn9kqlmXRelpr9FvcB0AfAF4A/uNx/0IA7wDwALCNR30xgA+Qk1MOAeXzQQTI5CpcuWKuXgFgKABXAKt53F8aKlAUoMHkBui1sBdYlhV7OQ6hrMIs1I2tizfmvQGlSin2cuyi1ZdWgxjC9BPTxV6KoPpjxx9wDXLFwXsHxV6KQ8oBdwgeaP6baqXOPjsFXq5upGAVpGJvWqzOKFCPq5T38ic+NsdcOwWWHQr57RQcfXiUMgoz6O3GH1JZUhKNdwruZNyhvXf30metP9NcKXt0MpcS7ybSuZRz9FuXP8iW0cmmUu8UxMdPoawMdXqi6e6AvpxzpyDyYCTdz7pPcf3invuRK61+3f4rPS14SvPfm+/UiX5a3cu8R19t+oo+bPYhfdP+G7GXI5jWXllL0UeiKap3FHWt01Xs5TikHBAIijT/fZuIUqzUCg8FXm7qZqICZQ+y5GiYXpBOnq6e5Om6l/jYHKtlCAWnHh+y4lBoHQo2X99Mlb0rU8caHams0cn6ULDw3ELydfelD5p+oFdveyiIORJDraq2ojfrvUm2ik42p9xcNwqPVPvRy+QqGvfvPiv3dy4ouJV+i8IPhtMfr/7xIrxIo43XNtLcs3NpUp9JTt1hr5WSVdLwtcMpwCOAZr0zy2mh8Gb6Tfp8w+f0YbMP6edXfhZ7OQ4rBwQC7fhHFqnf9MSFAi9XtV1ngUKbYsgNBTrbYuuOhoZSQ0GxqiKdT7lI7atbswe1DAVbbmyhfo366X2yKTsUsGBpwbkF9FGzjzjmsG0HBVfTrtKWG1v0jIiIhIQCde+AesZ66NCD1KRJH7JFdLIUBIB+2v4TVfWtSmNeHyP2chxCT/Ke0NebvqZ3Gr9j5MLpvGL2MnTs4TFaNmgZlfMsJ/ZyBFGBooA+XPkhVfWpSnPeneO00GMLOSAQaLWViDJJbCjQzsAXKJeRJUdDdbCRduSw5FBwMXWyxqEwgUqbkngv8x5dTL1IAxoNMKovGxQcuDfLiveAbaAg9kgsVfOtxpEiZ3soMJ0seJVsFZ0sBW24toG23thKk/tOfi7MdqwJGjMeFqxTf1LW1547eyjsQBgF9wimLrW7iL0cwfTTtp/o2tNrtPqj1eTv4S/2chxaDgwEDUn9pp1JYkKBl5v6fLlAUY4sORrqdgi0KhkUnEq6o3EorE6lTUnccmMLucpd6a0Gb3HUlx4K5p/7kRqUr0Wv1XnNQn3ZoOBJ3kZaeH4hje44mjxcPTjqbQsFppMFtolOloLyivPo5+0/U/9G/em9l1/MYBMRLTq/iNZdXUfT357+XFg2p+al0sdrP6ae9XrS36/9LfZyBNPCcwtp9pnZlNA/4YW/Bg85MBAQETUmsaHAy1UDBMoCsuRomF6QzuFBwB8KDB0KS5eSuPn6Mnq9zusU4Blgpr7kUJBbvIZWXVLRZ22ekEx20kp96aFg+skPSUagUR1GWai3DRSY9x14PqAg9EAopeSm0JS+U56LT8LWdD/rPv247Uf6tNWnNKjZILGXI7i0kcYqVkWLBi5yWlfKCykXaNTmUfR5m8/p87afi70cSUgCPwniQoFuh6BAc4UbCtLy06iyN5eJDj8o0DkUli4lMa+4Gu25c5AGNLYW3VkyKFhzeRflK0AjWjcjW0UnG8qbCpWrKO4E0WdtVFTR+5KV+rJDgWXfAeeGgqtpVyn6cDT932v/Rw0qNBB7OaJL++bo7+FPU/pNEXs5dtGko5No281ttHDgQqruZy1VVZrKKcqhwasGU8MKDSmuf5zYy5GMJAAERGJCgeEOgVamUJCWn0aVvCuZub9lKDB1KCw5FOy58w8VqYjebjSbypKSaKx5Z+dRz3o9qU7AXrJFdDKXll3YQKl5CvqlcweyZXSyTjooyM39mMIj1f+WhrsD+nJOKABAo7eOpjoBdZx6m7gkmnpsKiXeTaT578132qY6fZ1MOkn//PcP/dHlD+rbsK/YyxFEAOjrTV9TUk7Si9CiEkoiQEAkFhRomwoLlYVG9YZQ8CQ/xQIQEFmCAm6HwpJBwebr+6lhhXrUuGLZUhL1dTvjNu27t0/TTGib6GRjAaCYozH0TuN3qHHF3WSr6GRTqaEgPn4iT98B54OClZdW0u47u2lqv6lmQq+eL11Nu0r/7P6Hfur0E71Z/02xlyO4souyaejqodSmWhsKfdN5I40TTiTQiksraM67c6hxxcZiL0dSkhAQEIkBBVprSxWr4qhXQ0Gxyo2yi3KpstVmbW4oOJV0StNQ2Maonh8UAKCtN7fS243eJZlsD5UlJVFfC88tJD93PxrYZKDmiu2hYNftXXQx9SL91uU3smV0Mpdycz0oPFIdpaz2HThk5f7OAwU5RTn0287faGCTgdSvUT+xlyO6lKySRqwbQXUC6lB4r3CxlyO4ANB3W76j1LxUWjZomdNmM5x4dIJ+3fEr/djpR6cOZxJKEgMCIntDgas8mYjULyDcqkVP81cQEVEl7yiyZF6klikUWHYotA4FF1Mv0sPsh5p0w9KnJOpDwTPvgebG3gO2hYKYIzHUtlpb6la3m+aKcFBg6Duwn5o06U22iE42lGNCAbOXoYyCDIrt47yhNSXRhEMT6NTjU7Tg/QXPxZbygnMLaOmFpTRjwAyn7R1JL0inwasGU7vq7Sj6rWixlyNNiWibzCn+WQbXAFQH0BRAMo87ly77ILPgJRBDWHlxpdnK88nnQQzhyINaAOoAuM3j/kkAmgCoiQ4zW2DkupFW6k2zD7SKOBAB71BvFCoK9a7yyz7QKR362QeJdxJBDOHAvQNm6q1nHxjKNPvgQsoFEENYdG4RRz2/7AOdCmAp+yAnBwgor9DLLChCabIPADcAG3nUO072wfnk83AJdEHY/jBR1+EoOpd8Dm5Bbvh7199iL8UuuvrkKrxDvfHF+i/EXopgUrEqDFg6ABUiK+BeJp+smhfikgPuEGg/wadZqbPPToGLnCUiIiWbbLbySf4TIiKq7G3ZvMhQ6p2CYpWvxqGwtpV68zsFW29upTfrvWk0v1+2nYL5Z2OoQfkG1LW2Oc/vsu8UTDo6iWr61aSPmn/EUW/bnQLTyQJ3skV0snk5xk4BAPp+6/fUsEJD+v3V30VZgyOpWFVMI9ePpMYVG1Ng90CxlyO4CpWFNGT1EKoTUMeppygmHJpAm69vpsUDF1OdgDpiL0e6EptIjJWVdVyzQ9AMQCqPRwi7U1CguApiCAvPVoa5lMQVF1eAGEJmQSa0KYl8dwpOJW0HMYRD9yuhNCmJGQUZcAl0wbQT08zUl3ynIKeoLXxCCcH7vudRX7qdguQcH3gEuyPiQISV+rLvFJjuDujXly4lUSo7BUvOLwExhF23dtn9uR1R4/aMg0ugC04+Oin2UuyiH7f+CI9gD5x9fFbspQimvXf2Qh4ox//++5/YS5G8HHCHQBuykkpEbxLREyv1wu4UuMrV520qmDcvSstPIze5m8YW07x5EZdOJd3XNBRWoNIEIu26NZ9UUFG/huYaxUq+U7Dq0heUryAa0XoJlTUl0VTqnYKEExXJRV5M37RvY6W+7DsFln0HSpeSKIWdgtziXPpz15/0QdMPqFf9XnZ7XkfVqaRTFHoglMa8PsZoosc5teHqBpp6fCpNfGsita7WWuzlCKLk3GQaumYovVH3DQrs4fw7PkLLAYFAqy2kfnMXFwpcZOqQICX7J5kzL3qS94QqeVfSc33jDwW6hsK9VJqUxK03/4+aV25IdcvVtVBfMiiYf24VvVm/G9UJaES2iE42VoHChRJO5tEXbapTea/BZKvoZJ10UJCbO5SH74BzQkH4gXB6mv+Uonu/aLAqUhbRyPUjqWXVljTmDecPc3qQ9YC+2PgFvd/kffq+4/diL0cQqVgVDV8znIiIlg1a9mwi7IVKLwcGgiakflMVFwpkMhm5yFxIyQaQOfMiblMiflCgcygseSASi1207YaS+jdKotIGIhnrVvot2n9vP33W+muyVXSysRafX0xP89Pp587byJbRyYZSQ0F8fARP3wHngoJb6bco+kg0/dX1r+cixteaxu8dT9efXqeF7y902pE7rVSsij5e+zH5uPk4dbrf+L3jad+9fbR80HKq5ltN7OU4h8Q+szCW6ZTBJQBVALSEWD0FHsEemHpsquYr9fQBUB/anoKhq4eix/weZu5vvqegSFkE92B3TDk6Re+qbvrAWk/ByUcnQQwh8c5L4Jo+4JblnoJxe8bBL8wPecV5miuG0wfWZbmnQMWq0DSuKQYuH6i5Yjp9YFn8ewrUvQPFmt4BJa5c4XN/5+gpeG/Ze6gdU1vv3/H51ZEHRyAPlCN0f6jYS7GLAvcGQh4ox/67+8VeimDaen0riCGEHwgXeylOJQfeIdCqGYm9U+Aqd9XzITA1L3qS94Qq+3DlGBBZ2ingdijkv1Ow9cZW8nP3o661D1JpA5H0dwq03gNDmg/Rm80uW3Sy8U7Bjps76EraFY0REZGtopO5ZOg7sJeaNHmTbBGdbCjH2ynYcXMHbbi2gaJ6Rz0XM/aWlK/Ip5HrR1KHGh3or65/ib0cwXXo/iEK3BdI/77xL71e93WxlyOI7mfdp0/WfUIDGg94Lv5N7SkJAAGR2FDgIncxMiYyhIK0/MdUycuSbTE3FJh3KOQHBVtvbqW3GrxFbi41qTSBSMZQsO/uPrqXdU9jVawv20FBzNEY6lijo9E4o+2hwDTR8DWyVXSyqRwHChQqBf2y4xd6o+4bZsY5ny+N2T2G7mXeo/nvzXf6M+bMwkz6eO3H1KVWFxr7xlixlyOIilXF9NGqj8jP3Y8WvL/AaZMaxZLD/N+Mj4+nZs2aUceOHc1UiAcFAEhGxudwOihIy79GlbzdrNzfFAosOxRahoK0/DQ69vAY9W/UX3OldCmJ+lAw/9x8alihIb1a+1WO+rJDwbnkc/Tf7f/oty6/cZxr2hYKTCcLPMgW0cnm5RhQEHc8jq4/vf4i2piI9t/bT5OPTabQnqHUtHJTsZcjqADQqM2jKLMwk5Z8sMRp4efPnX/S6cenaeXglRxx8y9UZol9ZmEs606F9u8p8A3zxcTDEzmrWfYO3IMJU49VhDmfAkPpego6zGzJw6GQu6dAO1/+KNu478G8oyG31D0F2YUV4B3qhZB9IVbqS99TMHLd26gdUxvFymIL9WXvKbDsO2DZ0dBU0ukpSM5Jhn+4P77b/F2Z7uMMyinKQf3J9dF1TlcoVUqxlyO45p2ZB2IIyy8sF3spgmnlxZUghvT6uV7I1nKYHQL+EmenwHSHQK3c4opUrCKq5C0jcz4FhtIFIp1PuUDtq79kpZ57p2Drja3UtlpbquFXw6i+dDsFqy57U4GigD5t3clKfel2Ch7nNKClF7bQz698QG4ulnZTyr5TYNl3oPTRyY6+UzBmzxhykblQcI/gUt/DWfT3rr8pOTeZ5r8/n1zkLmIvR1DdeHqDRm8dTZ+3+ZyGtBgi9nIE0fWn1+nLjV/SR80/oh86/iD2cpxWEgQCIntDAcCardTaFlfynkTmfApMVYsupk6lYhVR+xrTqaSBSCr2Km2/ud2CGVHJoWD+2Vr0Zn1fqhMwnGwRnWwof4o/0ZM8XOX0Vbt5ZKvoZJ10UJCbO5jCI9VR1eZ9B5wPCk48OkFzz8yl4B7BVNG7Yokf70zafXs3JZxMoMhekdSwQkOxlyOoilXFNGzNMKrhV8NprYnzFfk0eNVgquFXg2a/M/u5PwoTUg4IBNo363QrdfaDAlAByWTZ3KvNVd+nmm9rMudTwKVTSQ81DYU+VJLsAyI/OpH0Bj0teKrXP8Al/lBwM/0mHbh/lD5rHUW2ik7WV74in6adnEtftR1FAZ7NyFbRyYZSQ0F8fAhlZXgSkTXfAeeBAhYs/bT9J2pRpQV92+Fb3o9zRmUXZdMXG7+gHi/1cFpDHn39u+dfOp9ynpYNWka+7r5iL0cQjd46mm48vUGrP1pNfh5+Yi/HuSX2mYWxsrKOaHoIWgF4yuMRwvcUeIXIMOlIJXD5FKy7sg7EEFJztc9t6lPApW83fYsWCS1Q0uwDIAn/7qmI8hEyKFSXedRb7yn4d8+/8A/318ysly0lkUsJxxMgD5Tjdvpt2CIl0Wylie8An/tLv6dg4dmFGj+KRF71zqwvN3wJ3zBf3Mm4I/ZSBNeuW7tADGHCwQliL0UwzT09F8QQ5p+ZL/ZSngs5IBBomwrLA2gLR4ACzxAPTD5aDlzmRdNOTINLoAtUrErvqnUo6DCzg15DYcmgoP2MVhi62g98zIvUMg8FKlaFOrF18PXGr/Wu2g4KVKwKjaY0wocrP9S7KgwUREQAROo/w4bvhK2ik03lOFCQXZiNatHVMHjlYB73dW5tub4FxBBmnpwp9lIEV2puKqpHV0evhb2MXnucR+eSz8EzxBNfbvhS7KU8N3LAIwOtNpN6270XiX18ABDJ6CfiGklMyU2hKj5VjOZhTc2L9FWsKqbzKec1lsVEJck+SM5NplOPz1P/hqFUmuwD4+ODvXf30v2s+0beA2WLTtY/PthyfQvdSL9Bv3fRj94te3Sysbh9B2wTnWwqxzk+CD0QSlmFWRTVO8rKPZ1bGQUZ9PWmr6lPgz70VbuvxF6OoAJAX278khSsgha+v9ApZ/Gzi7Lpw5Uf0ssVX6ap/aaKvZznRg78k9SC1GfmjgEFMlll4po+SM5Npqq+VTkeYR4KuB0K+UHB9pvbSUYy6tNwCJU0+4ALCuafnU+NKjSiLrW6GNXbBgpijsZQ51qdqXOtzkb1toUC08kCLyprSqJliQ8FN57eoJgjMfR317+thFs5v37a/hPlFefR7Hedv+ks4UQCbbq+iea9N4+q+1UXezk2FwD6ZtM3lJybTKsGryIvNy+xl/T8SOwtCmOZ+hCcA1ARYh4fuAe7682+GvoUDFw+EH0X97Vwf9Pjg5knZ0IeKDfjM2/5+GDwysHoNKuT3hX+2Qdq6Y4PsgpPwCvEy4rHe+mPD848XgZiCCsurrBQX/bjA8u+A/yzD9SSzvHB20veRt3YusgvzudxH+fVhqsbnptz5gspF+AR7IHRW0aLvRTBNP3EdKf3VHBUOfAOgVatSOydAhg4FRqOJCbn3qeqPlw7BFqZ7hRYdig0v1OgZJW089ZO6t9Qf7qg5CmJ2p2CVZfepEJlIX3a6lML9aXfKZh0dCTVCahGHzT9wEJ92XcKLPsOlD462ZF3Crbe2EpbbmyhiW9NfK4/QWUUZNCozaOof6P+NKL1CLGXI6gKFAU0dPVQalSxEU3oPUHs5QiiM4/P0M/bf6bvOnzntJ4KjiwJAAGR2FAAgtE2pA4KUvLOU1UfHyv3N4SCU4+P6PUPcIkbCo48OEJZRVkc44alg4L555T0Zn03qh2QZ6W+5FCQnLuIll1U0I+dsshVfsFKfemhIDf3Ax6+A84FBcWq5fTrjl+px0s9rMCW8+vXHb9SviKfZg6Y6fRHBX/u+pNuZdyiZYOWOSUEZhdl00erP6JmlZtRTJ8YsZfzXEoiQEAkFhQAICWrJDe5sbueGgpScpVUzXclcaUkGkoNBcUqlaah0FpGvSkUbL2xlSp7VzbqPdCqZFBwKz2HDt7Pp89aV6GypiRyKeHEUnKTe9NX7V4mW6QkmkoNBfHx43n6DjgPFEw59jHdSr9Jk/tOdvo3QUvacn0LLTi3gGL6xFBN/5piL0dQbby2keJPxNPEtyZSiyotxF6OzQVN30BKbgqtHLySPF09xV7S8ymRjyxMZD3LwL49BcXKYhBDmHdmnkllTlEOiCEsOV8BXCOJXDqVtBnEEA7dr4GSZh+0mtYEI9aNsFLPr6eASWTgG+aL3KLbKE32gaWegvzifFSaUAk/bv0RZck+sNZTYOo7wOf+0u4peJzzAH5hrvhxqwxlzT6QsjIKMlBzYk30WdQHLMuKvRxB9Sj7ESpGVsS7y9512r9rwvEEEENYeXGl2EuxubIKzb2XOZ4ktEOglX13ChTsQyIicndxN6nUuRROJnPRycY6lZSkcSh0pZJkHzzMltP5lKvUv2EHK/XWdwoA0MLzC2lws8Hk416PbBGdrK8lF5bQ0/yn9PMrP5Mto5ONpe4dUO/cDB26m5o06Ua2iE42lGPtFPzf7n/J3SWAArsPJFtHJ0tJv+/4nbKLsmnWO7OcepeEBUsj1o0gD1cPmvPuHKf8u555fIZ+2fEL/dDxBxrcfLDYy7GpANBn6z8Texn8JTaRGMv6DoFW9tkpyCxobJZcD947CGIIF1MugislkUs6h0J+joZazTwZCXkgIT2/Fvg6GprbKThw7wCHs13pUhKNdwpYlkXz+OZ4b9l7RvW23SkwnSzIRVlTEi1L/J2Cow+OghjC9BPTYcuURKlp+43tz40BUeTBSMgYGf67xednTnrKLMhEg8kN0G5GOxQqCsVejs0VfiAcxDjc26xZOdxKs7JuaYCAz3a68FCQmlsFxBDWXZln8t01l9eAGMKTvCeaK9ahwNChkD8UvL/8fXSd0xEltTnmgoKvNnyFurF1ORzOyg4FO27uADGEvXf2ctTbDgoMXQm1f4+yRydblnhQoGJV6DizI9pMb6MX5/v8QUFmQSZqxdRCr4W9nHb7XKvjD4/DNcgVf+/6W+ylCCKWZTF45WD4h/vj5tObYi/H5tp1axfkgXL877//ib0U3nJAIDioAYL2ADJ4PEJYKHiUvR/EELZcrw1jn4L44/FwDXI1emM1DwVFyiK4B7tjytEpeletQ0GhohC+Yb4av4CSZx/oQ0F+cT78w/0xdvdYM/Vlg4K+i/ui7fS2Fl6syw4Fln0HnBMKtHn3++/uN6p/vqDg641fPxdZBdmF2Wg4pSE6zuyIYmWx2MsRRPHH40EMYfUl5/u5vZtxFxUjK+KtRW/pAbzjywGBQHtkUA5AJ4gNBXcy7oAYws6bFWBsXjRuzzjUmFiD41HcUHAq6ZSmofCQUb1lKPjv1n8ghnDm8RnNldJDwfILsSCGcC3tmoX60kHB5dRyIIaw4OwCK/VlgwLu3QF9ORcUZBVmoWpUVQxbPcxM/fMBBdown4TjCWIvRXCNXDcSPqE+uPH0hthLEUQnH52Ee7C7pvHYuVSgKED7Ge1RN7Yu0vLSxF5OieTAQLAPQHmIDQXX065rtsAXwdjR8NtN36LdjHZmHmkKBZYdCs1DwW/bf0P16OpGn7pLBwX9Fnugy+y2POpLDgXfbKyAatEyFCn5vMmXDgpycmogoHyBmd0BfTkPFPyxYyC8Q73xIOuBhXrnhoLswmzUia2DHvN7OG2Yj1bLLixzaufFzIJM1J9cH+1ntHfKvoGvNnwFj2APnEo6JfZSSiwHnjJoQ0T/kbpLvg+pu/4tSZjpAwWrICIiN5f6ZOxTkJybbMGl0NDRkCjJikOh+eyDrTe3Uv9G/Y06jPkHIqlVnZJzl9OOW0U0ovUdKksgEpfS8kELz+fTDx2rkrvLW1SWQCRuqacP4uP/x9N3wHogkqEcc/rgalp3mnRsHf3vtQ+oln8tC/X8A5GkqL//+5ue5j+lOe/OccowH63uZ92nUZtH0dAWQ53SeRGaYKan+U9p5eCV5OHqIfaSbKq5Z+bS7DOzKeHtBGpXvZ3YyymxHPw3qx2JDQXFqmIi0o4dGo4kpuQ9NBNspJUhFJx6fNSKQ6EpFNzJuENX065yuBMSlRQKlpz/j1zl7jSkeWUqa0qisWacnEFERKM67CNbpCRyKTfXn8IjvyEiIplcReP+vWTl/tKGAsCVft0hp9r+3vT7q8vJlimJUtKeO3to2slpFNErguqVt2boJV2pWBWNWDeC/D38adrb05xyxDD+RDytubKG5r43l+qXry/2cmyqM4/P0Pdbvqev2n5FX7T9QuzllE4l3VLYt28fBgwYgOrVq4OIsG7dOoPvsyyL8ePHo3r16vD09ES3bt1w8eJF3vfnHjs8BbGOD44/PA5iCGcfn9W7qh5JrBvrhn928TkDu4kiZS24B8sw5Wgwj3rd8UH88WC4BrlaMbfgd3zQalorfLjyQ5QlEInr+KBIWYTq0dXx9cavNVdKH4hk6fjAsHdgG8oSiGRZjnF8sOnaJs2EyyrYKhBJasopykG9SfXwxrw3nP6oIPxAOGSMzMyEjvR14tEJuAe746etP4m9FJsrPT8d9SbVQ7sZ7VCgKBB7OaVWiYFg69atGDNmDNasWcMJBBEREfDz88OaNWtw4cIFDBkyBNWrV0d2djav+5v3IRAHCrReA5dTLxtUs+xVuAURph6rCnMpiQarT1qvaSisBT6OhlooeHuJN3rM78Kj3jIUnH18FsQQNl7VvqHYDgoWnl0IYgiXUi/pXbUtFJhOFuSgrCmJliUuFBQqCtFgcgP0Xthb0ztiu5REKWn0ltHwCvFy2uY6rU4+OgnXIFf8s+sfsZciiDIKMlBvUj10nNnR6foGVKwKby95G+UjyuN2Op9+LsdVmZoKjYGAZVlUq1YNERERz64VFhYiICAA06dP53VPy8ZE9oeCxDuJIIZMXpCe5D0BMYQ1l8vBUnSyVrqGwprga3OcX3wVXiEyRB2qgJLaHBtDwa/bf0XlCZWNRpjKDgUsy6Lt9Lbos6gPR73toIB7sqDs0cmWJR4URByIgEugixFkPV9QsPfOXhBDmHRkkthLEVS5Rbl4eerLaDejHYqURWIvx+ZiWRYfrPgAAeEBkn/D5FLIvhDIGBm2XN8i9lLKLJsCwa1balOh06cNX8zfffddjBjB7cFfWFiIrKysZ38ePHhgxanQvlCw9fpWEEN4lG34Bq79xH30wUoYTx9wSedQyM/RENA5sl1MqQG+joZcUKBQKVAlqgp+3vYzR33ZoED7or39xnYz9WWHAsu+A84HBY+yH8En1Ae/bPuFo/75gIK84jw0mNwAXed0dfqjgm83fQuvEC9cecJnmkd6mnx0MoghrL28Vuyl2Fw7b+6EjJFh3J5xYi/FJrJpU2FycjIREVWtathoV7Vq1WffM1Z4eDgFBAQ8+1O7dm0rz2LfRsN8xWMiIvJyNYwbTcpRZxbU8OtMlqKTtTr1+JSmodB0+sCctt/cTrX9a1OzyoeIa/qAW6aNhjtu7qDUvFQa2XokR33popO1jYaxR4OpWeVm9FaDt8zUlzw62bjRUJ1Z4EpEXJMFpY9OdtRGw7//+5u83bxpfPfxHPVli06WSqPhmN1j6FHOI5r73lynnirYeG0jzTg1g2L7xFKTSmZHZiSrE49O0B87/6BfXvmFBjYdKPZybKr7Wfdp2Jph1LtBbxrXbZzYy7GNykITZLRDcOjQIRARkpKSDOq++uor9OnDtaVcmh0CreyzU7DwbC0QQybnXrNPzYaMkeltwRumJOqL26HQ+k7By1Nf1mvUK1n2gf5OwUer3kaLhBZWrF5LvlNw42kjyBjCzJOBPOpLt1OQk1Obp++Ac+wUHLrvBmIIs07NslLvvDsFB+8dhIyRIfpQtNhLEVSPcx6j0oRKTptimFGQgZcmvYSOMzs63VFIoaIQnWZ1Qp3YOnrW9dKXTdG7WrVqREQmuwGpqakmuwZaeXh4kL+/v94fpeY7OVaezT47BQXKLJLLiNxdsgy+m5STRFV8qpCbi5vmiuFIov5OwcXUi1SsKqb2NfRHDi3vFNzJuEPXnl6jvg37aq6Y9ynglnqnILPQhTZc3UIjW79jZYyp5DsFU469QRW9XeiTVvFki5REQ6l3CuLj/+TpOyD9nQIWK+inbd7UvrqMPm9T3Uq9c+4UFCmL6KtNX1HHmh3pl86/iL0cwQSAPt/wObnIXGj2O7OdbsQQAH2x4QvKLMyklYNXcqbFSlm/7fiNziafpdWDV1Ml70piL8dmsikQ1KtXj6pVq0a7du16dq24uJj27dtHr776Ks+7aN/oPiBHgIJ8xffk5SojmawX6fsUPMp5RDX8ahjVc0PBqaRTmsjjNkb15qFgx60d5CJzoTfrvalXX3IoWHnpW1KwRMNbLiA+5kV8oSCzMJPmnllOo9r/RF5uVchW0cn6ys0tT+GRo4hI6ztg7f7ShoJ5Z5bSqcdZNKXfq+QiH0S2jk6WAhSEHgilW+m3aM67c8hF7iL2cgRT3PE42n5zO81/fz5V9qks9nJsrinHptC6q+to/nvz6aVyL4m9HJtq8fnFlHAygSb3nUwda3YUezm2VUm3FHJycnDmzBmcOXMGRISYmBicOXMG9+6pt7EjIiIQEBCAtWvX4sKFCxg2bFgpxw79ALwKgM/jhDs+CN0fisoTKsB4+uCdpe/g7SVvm3mU4fGBrqHQnEyPD95b9h5en/u6mXr+xwdd53RFn0XdYIuURH1FH4qGW5AbkrKTYKvoZGMZThZsga2ik00l/vFBRkEGKk+ojE/WfgIhopMN5ZjHB+eTz8M1yNVpGrTM6WLKRXgEeziljz8AHHt4DG5Bbvh1+69iL8XmOp98Hl4hXhixboRTHvOUGAgSExNBRCZ/Ro4cCUBnTFStWjV4eHjgjTfewIULfM6M1dIBwW4A/hAbCsbuHou6sXVhPH3QfkZ7fLPxGwv310FBh5mt9SKPzUkHBUXKO3rphuZkHQpuPL0BYghLzy9FWVMS9aVQKVAntg5GrNOfHLEtFJhOFmTCVtHJ3BIXCn7Z9gt8Qn30plmeLyhQqpToNKsTmsY1dbo5dX0VKgrRalorNI9vjvzifLGXY3Ol56ejbmxdvDLrFafrG8gsyESjKY3QalorM3k00pcDhxtlATgGsaHgt+2/oUlcE81XOiioFl0FTCJj5f7XUKSspnEoDOGxHjUUJN6pCWIIp5OsvfFZhoJxe8bBL8xP74fXNlCw8uJKo/RFrWwHBdy+A2WPTrYscaDgcupluAa5IvxAuFH98wMFsUdiIWNkHEmgzqXftv8G92B3I+dT5xDLsnhv2XsoF1EOdzPuir0cm4plWQxcPhD+4f5ObZLl4EAAiA0FozaNMko0vASFqrKmu36i9dUkrdU4FNYFH0dD4Cb+2umHqlEuULGW0u204oYCFavCS5NewpcbvjSqLzsUdJndBd3ndzdTX3YosOw74FxQwLIsei3shQaTG5j5ZOz8UHAn4w68Q73xw5YfRHl+e0kb3zzxsPXXDSlq0pFJIIaw4eoGsZdic004OAHEENZfWS/2UgSVBIAAEBMKRq4bidfmvmZw7WHWHhBD2HK9LixFJwP6DoXVwMfREABaTWuCEeu8wdfRkAsK9t3dB2II++5yvUmVHgqOPljF45e+bFDAvTugL+eBgnVXAkEMYdO1TRbqnRcKWJbFW4veQu2Y2sgu5NdnJEWl5aWhxsQa6LWwl1MaLZ14dAJuQW5mzLSkrcQ7iZAHyvH3rr/FXorgkggQAGJBweCVg9F7YW/DlTw8ptkyLw+uQCR96RoKzfsU6OtR9iPNuX8s+DoaqmUIBV9u+BL1JtWz8OJTOigYssoLDSbXgVKltFJfOijIyamLgPKFPHwHpA8FBYpeqDdJhr6LO/JoUHJOKFhwdgGIIWy+ttluz2lvaa17K0RWwMOsh2Ivx+bKKsxCg8kN0H5Ge6fr/3iU/QhVo6qix/weUKgUYi9HcEnIAqwTEe0i9ahaX7LXSGK+Ip+83bwNKnUuhRvIUnQykb5DoXmfAn3tuLmDZCSj3g0+Ib6OhmrpRhLzFd1o5aUV9GmrTy24vJUsOpmoOt3PWkirLxfQz69kkYv8tpV6/tHJaqlHEuPjf6GsDHVGumXfgZJFJzviSOLEw6/Rg2yiSX3Ok0y2x0p9yaKTpTCSmJqXSr/u+JWGtRhGbzd+W/DnE0vzzs6jtVfW0swBM6mmf02xl2NTAaBvNn1DqXmptOLDFeTh6iH2kmwmhUpBH636iFzkLrRs0DJylbuKvSThJTaRGMtyuBFg752Cngt6YujqoQYV8cfj4Rbkpvn0bT46mduh0PJOwUerPkKnWZ30rvDPPlDrLpaer6QJZOLzSZX/TsGfO/9EQLg/cooaw1bRyfpS9w4UaXYHlLhy5RqP+0tzp+BB1gN4h3rjjx2/QIjoZJ0cd6dg6OqhqBhZEam5lo/dpKzradfhE+qDL9Z/IfZSBNHMkzNBDGH5heViL8Xm+nX7r3ANcnX6Rld9SRAIAHtCQceZbfXsg9Uas3sM6sTW0bvCDQWnkk5pGgqNf6C4oUChUqBcRDmMTxxvVF8yKOi7uBu6zvFAWQKRjJVTlIOA8AD8seMP2DI6WV+GvQObYavoZFOJDwXDVg9D1aiqyCrMgq2jk03leFCw6domEENYdG6RIPd3BBUri9FpVic0mNwAOUU5Yi/H5rqQcgGeIZ5Wxq+lqRUXV4AYwuSjk8Veil0lUSAA7AUFTeI88Nv27w2+89n6z9B5dmejelMo0DUUcs2smkLBofuHQAzhyIMjHPX8oOBR9iPIA+WYcTIMpc0+4IKCqcemwiXQBfcytfeyLRSYThakw1bRydwSDwr2390PYgjzzszTu/r8QEFWYRZqxdRCn0V9nNLcRat/9/wLl0AXHH1wVOyl2Fy5RbloGtcULRJaOJ2fwuXUy/AN88WQVUOc+ueTSw4IBPc0QJBkvdgOUFBjogxMYjXoNxq+tegtDFoxiKPeEAqsOxQaQsG/e/5F+YjyFhr2rENB1KEoeAR7IKMgA2UJRNKHAhWrQsMpDfHRqo+M6m0HBdyTBWWPTrYs+0OBUqVE62mt0WlWJ46Gz+cDCr7f/D18Qn2cblZdXwfvHYQ8UI6gvUFiL0UQfbH+C3iHeuNy6mWxl2JT5RTloGlcUzSNa+qUuzrW5IBAkKgBgq4Acnk8Qlgo8A3zRsxhb+hPH7RIaGHBdlQHBR1mtuHhUKiDgo4z22DIqiFW6s1DAcuyaJHQwuiNu+xQsOHqBgs7F2WHAsu+A84FBdNPTAcxZOFTo3NDwcF7B0EMYdKRSWW+l6MquzAb9SbVw6tzXnXKzvTF5xZz7HBJXyzLYsiqIfAN88WVJ3wmo5xPDggE2iMDHwDdICYUqFiVJop2PPQbDQPCAxBxIMLC/S+hSFlZ41AYxmM915CaWwUyhjDvDJ8XSm4oOJ102swIV9mgoPv87hxHJPoqGxRY9x1wDih4mu+NipEB+Gz9Z1bqnRMKChQFaBLXBK/MeoXH2Kp09cX6L+Ab5otb6bfEXorNdS3tGnzDfPHJ2k+cbjt98tHJIIaw8uJKsZcimhwYCHYA8IWYUJBVmAViCCsuroC2pyC7sJVePoCFuyet0jQU1oc18yIAWHI+GsQQkrIbgq+joTEU/LLtF1SJqmLmU0npoODM42p6/w8sqXRQkJNTj6fvgPShYPSWWvALIzzOWcuj3vmgYOzusXALcsPFlIulerwUtO7KOhBDmH1qtthLsbkKFAVoM70NGk9t7HQmUgfvHYRrkKtTBjKVRA4MBFkADkJMKHiQ9QDEELbd0L7AnsOl1AAQQzhwb4vFO+saCivDmnkRAHyy9hO0md4UfMyLdNJBQbHyLipPqGzlB7rkUDBinR/qxLpAoeLzJl9yKIiIiLGyO6Av6ULB+eTzcAl0QdShhrBlSqKhHBcKnockw+ScZFSaUAnvLnvX6T49A8DoLaPhEezBkWEibSXnJKPGxBp4be5rKFYWi70cUeXgQACICQWXUi+ZjA1uv5EAYgh3M5rDUkqirqHQvE+BVipWhcoTKuOfXf+Ar6OhTmoo2HStOoghHqEp/KEgKTsJbkFuiDpUEbaMTtbK1HeAzxar9KCAZVn0mN8Djac2RpEyA7aOTjaU40HB85BkyLIsBiwdgCpRVZCSmyL2cmyuNZfXgBhC/PF4sZdiUylUCvSY3wNVo6rqJY0+v5IAEABiQcGRB0dADOF88vln12admgUZI0OxsgIspSR2mNlBr6HQMhScfHQSxBD23tmruVJyKBi80gstE9xR2uwDLo3dPRY+oT7IKLgIW0Un68uwd2ATbBWdbCpxoWDVpVVGO022jU42lWNBwfOQZKg16Nl4lc//P2npTsYdlIsoh0ErBjndzsffu/6GS6CL3mvv8y2JAAEgBhTsvLlTsxugG48at2ccakysAUuBSNwOheahIGRfCPzC/Izyw/lDQWZBJjyC3RF1KABlCUTSV35xPipNqKQ3TWGb6GStTCcL0mCr6GRuiQMFecV5qBNbBwOWDjCqfz6g4Hb6bXiHemP0ltE87ilN3Xh6Az6hPiYGZs6gYmUxOs/ujJcmvaQZZXYerb+yHsQQog5Fib0Uh5GEgACwNxSsvrQaxBDS89OfVXy2/jO8MusVzVfcUGDeoZAbCl6b+xreX/4+x3r4QcHsU7MhY2R4mHUQZQlE0tfMkzMhY2S4+fSm3lXbQQH3ZEHZo5Mty/5QwCQycA92N5Oh7txQwLIsei/s7dRJhgqVAp1nd0b9yfWdcm79r51/wTXI1enMlW6l30JAeADeX/6+0+16lEUSAwLAnlAw93QciCGDrv03F7yJD1d+qFdvCgWWHQoNoSCjIAMugS6YfmK6mfVYh4Lu87uj18Jemq9Knn1gDAUsy6JZfDO8t+w9jvqyQ4Fl3wHngYK7GWvgGeKp6Q0xJ+eFAm2S4ZbrlhtwpazgfcGQB8qd8jhk6/WtTvkJukBRgLbT26LB5AZOt+tRVkkQCAB7QcGkI3XgFeJl8J3GUxtzdPIbQoF1h0IdFKy6NMfkWMJU5qHgXuY9EEOYf2a+3tWyQcH2G9uNehqMVTYosO474BxQMHilK6pHV+Lx6dj5oCAlNwUVIitg+JrhPB4vTZ14dAKuQa4Ys3uM2EuxuR5lP0KlCZXQb3E/CxHq0tQ3G79xymkJW0iiQADYAwqC93miapQbtD0FLMvCK8QLsUdiOep1UMDPoVANBV9uKI+mcY15rIcbCsIPhMMrxIvjTaf0UNB3cTe0md7GylZa6aAgJ6cRT98BaUPBnttbNOE9nrBlSqJOjg0Fzp5kmFechyZxTdB+RnunG1VTqpToPr87akys4XT/fgvPLnRanwhbyAGB4IEGCPh01wsLBX/s+BSNpsih7SlIy0sDMYTVl8w1UZ1DkbKCxqEw3Or9WfYiak6U49ftFcHHvMgYCrRb+8NWDzNTX3IouJxaA8QQFpyN4VFfciiIiIguge+ANKFAoVKgZUJLdJndCSz7GmwdnayTY0LBpmtyp08yHL1lNDxDPJ3Oyx9Q973IA+VO13l/IeUCvEO9MXLdyBd9A2bkMEAQFxeHpk2bYuDAOhog6A6AT4qWcFDwxfov8MqsFtD2FJx5rE6pO/bwmNnHnEparmkobARLPgWA+geUGMKOmwHgY16klg4KTiftAjGErde3WqgvGRR8s3EYqkW7oEhZD7aKTtbK1HfgDo/7Sw8K4o7FQcbIcPLRSQgRnWwox4KCrMKnqBXjhb6LZWDZVTzuLz1pj9QMp4icQ4l3EiEPlCNwb6DYS7Gpsguz8fLUl9EyoaWZ3q4XAhwICLTSHRl4AegFMaFg4PKB6Le4H7Q9BRuuNtLYC5tPYtQ1FFr2KQDUyYReIV4oUJyGNfMiQ6mh4NftFVAlqhKPABV+UPAk7wk8QzwRvO932DI6WSvD3oENsFV0sqnEg4K0vDSUjyiPrzZ8pXf1+YECXZLhOxAiOllspeWloXp0dfRe2NvpztZTc1NRPbo6eszv4VRZE9rQIr8wP1xLuyb2chxaDgwEmwF4Q0wo6Davm15T1CnEHfOCW5AMKpaPQ6F5nwKtei7oqQEOgI+job4UqkuoFi3Hz9vKo7TZB8YK2RcCzxBPPMl7AltFJ2tlOlmQAltFJ3NLHCj4bvN3CAgP4HCrc34oOHDvAIghTD46GUJFJ4splmUxeOVglI8oj4dZD8Vejk2lYlXot7gfKk+o7HSOfXHH4p770CK+cmAgyAKQCDGhoGVCSwNDlb93jcRLk3Q9BVwydCg0DwU5RTlwC3LjbV5kLO225YlHFVGa7ANjKChSFqF6dHUjcxXbQQH3ZEHZo5Mty75QcObxGcgD5WaaTgFnhoICRQFenvoyOs/urPfp0rmgQBv7az3oS3qacHCCkZumc+jYw2NwC3LDT1t/EnspkpCDAwEgJhTUiqllEMYyfM1wvD63LcxlH3A7FHJDwcarG0EM4Xqa8RshPyj4ZO0naBLXBCx7FaUNRNKHAu2LnWkSXdmhwLLvgHNAAcv64/W5bdA0rqmVrnPnhALzSYbOAQX3Mu8hIDwAH6/5WOyl2FxHHxyFa5Ar/tr5l9hLsanS8tJQJ7YOXpn1ipEL7AuZkwSAABALCrxDvQ0+7b0+93XNCwJ39oF5h0JTKPh+8/eoN6memW5Xy1CQU5QD71BvhOwL0VwpXSCSFgpYlkWHmR30zI2MVTYosO47IH0oWH6hIYgh7Lw5lUe9c0HBueRzcA1yxfjE8WbqpQ0FKlaF7vO7o1ZMLaczssksyES9SfXQaVYnpxqf1B6BVIysiHuZfF6zXgiQDBAA9oaCQkWhZvxuwbOKlya9pOc6ZwoFlh0KDaGgweQG+G7zdxbWYx4KFp1bBGIIdzLu6F0tPRQcuq/29N58bbOF+tJBQU5OE73JAku+A9KFgtyiXNSKqYn3l5eHENHJajkmFChVrug4sxGaxTezkmQoXSiYeHgiiCHsvr1b7KXYVCzLYtjqYfAP98etdD5Jo9JR6P5QyBiZ0x2BCC0JAQFgTyh4nHMDxBA2XdsEQG3W4RbkZhT/aQgF1h0K1VBw82kzEENYd2WdlfVwQ8Fbi97C63Nf56gvHRR8tMoXjabU49E1XXIoiIiYUALfAWlCwdjdY+ER7IFb6Wdh6+hkQzkeFMQcbgkZQzh8fwKPeulBwYWUC3APdudwJ5W+5p2ZB2IIS88vFXspNtXu27shD5Tj3z3/ir0UyUliQADYCwoupbYBMYSD9w4CUFt5cseb6qCgw8y2PBwKzyHhuA9cAglZhXd4rMcQCpKykyAPlGPmyZlm6ksGBfcz98MlkDD1WGXYMjoZ4PIdeMDj/tKCgtvpt+ER7IGxu8dqrtg2OtlUjgMF2iTDH7c2gFDRyWKqUFGI1tNao3l8cxQoCsRejk119clVeId64/P1n4u9FJvqUfYjVImqgjcXvOlUo5P2kpwkp+5EtIWIDhPRu0RUYKW+KxFtJ6JTRPQ2EeVZqe9ERLsoo+A6ERFV8PIgIqIHWQ+IiKh2QG2j+nZE9B8Vq67T+ZSz1L56Myv3b0U7b3eiLrVdyd/jAyJKt1LfjIgSiSiFiN6kZRdnkavclT5s9qGZ+sZEtJeIMomoh+Zx5hV/Ygv5uPvSyNbupP5/m2RlPXU192c1979v/t7xRFkZ7kRENHToZmrSpCsR3bFy/+pEtIeI/DT3v2GlvgoR7Saiypr1X7VSX1FTX1Nz/4tW6ssT0U4iqk9EvYjojMF3f9/5O1X2qUz/vPaP5oo/Ee0goqZE1JuITli5vy8RbSWiNkTUh4iOWKn3JqJNRPQKEfUnov1W6j2JaD0RvUFE75D6725JHkS0iojeIqL3Sf27YyoA9O3mb6miV0UK7Xlcc+9BmrVZkisRLSKiD4loKBGtsVIvnpi9DF1+cpkWf7CYPF09xV6OzVSkLKKha4ZSbf/aNLXfVLGXYzMpWSUNXT2UXOWutHTQUnKRu4i9JOlJbCIxFv8sg0QIuVOw8Wo0iCEk53QAkI3lF9QOhOaaik4lLdY0FDaFuZFEQJ0v7h/uj+B9P8CaT4Gh1DsFbaZ7YtCKATzqre8U5BblonxEefy2/TfYIiVRX6aTBY9hq+hkbtl/p2DXLbVT5LILyzjqnXunYP6Z+UYumbaNThZbh+8fhjxQjrD9YWIvxeb6edvPcA92d7pwn792/gWXQBccuHdA7KVIVg4IBEkaIDA2duFSIoSCAu0LXpHSD8CriDgQiIDwALP1uobCcrDkU6A1b1HbH1s3L9LXhZT1mt6DOihN9oGxpp+YDnmgHLfTtW/QtoMC7smCskcnW5b9oKBYeQzN4pvh9bmvW/BFd04oSM5JRvmI8hwjeM4BBXnFeWg0pRFemfUKDxdQaWnTtU165lHOow1XN4AYQvShaLGXImk5IBDs0gBBb6hfwKwpEUJAQeyRWPiE+kDbUzBqU1W0ntbSbL2uoZB7JFGrf/f8iwqRFfTOt/hDwd+7/kaFyAAUKSujNNkH+lDAsiyaxjXFwOUDjerLDgWWfQecAwomHfGGPFDO41OW80HBkFVDLCQZSh8Kftr6EzxDPHH1yVWxl2JTPcx6iIqRFfHO0necKtznVvotlIsoh/eXv+9Ufy8x5IBAoD0y8ADQH2JBwb97/kXtmNqar46h72IXvLesAszZHBs6FJqHgldmvYKPVn1k9GjrUKBiVagVUwujNo1CSW2OuaBgx80dIIbMJJqVDQqs+w5IGwpSc68jINwFozZ5QIjoZEeGgo1Xx4MYwuJziy3USxcK9tzeA2IIk45MEnUdtpZSpUSP+T1QY2INjTW5c6hAUYB2M9qh/uT6TucRIYYcGAjWAfCEWFDw/ebv0Xpa62dfN4l7CT9vcweXoyG3Q6EpFDzNfwp5oNxMFrdlKNC+UOlMj8oGBf0W90Ob6W0sEHXpoCAnpwVP3wHpQsHXG79G+YhyeJLXGraOTtbJ8aAgq7Avak4k9FvcgccnMelBQVZhFurG1kW3ed2cLrgoZF8IZIwMe27vEXspNtW3m76FR7AHTifx+R18IWtyYCDIArATYkHB4JWDnzn3sSwLrxAvxB75BVyOhuYdCg2hYOXFlSCGcD/zvpn1mIeCL9Z/gfqT6xu9EJcOCq4+qQ9iCPPOzLNSX3IoiIgIL4HvgPSg4OSjk5AxMkw9NhVCRCcbyrGg4LvN38An1AV3M9whRHSy2FDw1Yav4Bvmq9dT4xw6dP8QXAJd9EZjnUNag7ZZp2aJvRSnkYMDASAWFOgnHabkpugZCZnaHFt2KNRBwVcbRqBpXFMr6zGFgvzifPiH+xvkKuhUcij4frM3qkS5oEBxl0c9fygw9R3gAxHSgQKWZfHqnFfRIqGFXrPZ8wEF++/uBzGEKUdjIFR0slriQMGW61tADFnw95CmMgoyUCe2Dl6d86pTNUheTLkI71BvjFg34kXfgA0lASAAxICCZvHN8PO2nwGoE7OIIb0GMkMosO5QeAosWw61Y9zx87ZRPNZjCAUrLq4wE4SkFX8oSM9Ph3eoF8Yn+sIWKYn6MuwdWAtbRSebShwo0AZAmW67OjcUFCgK0HhqY3SZ3UXTDGv76GRD2RcKnuY/RfXo6ui7uK9TvbmwLIsPV36IchHlcDeDD/xLQ9mF2Xh56stokdACuUV8zOZeiK8kAgSAvaGg8oTKz8KDtG/I6fnpevU6KODjUHjlyWrN3HZjWPIp0EkHBQOW9sErs16xUs8PCqIORcEtyA2Pcw7CFimJWplOFjyEraKTuWVfKMguzEaNiTXw4coPzdQ7LxT877//cSQZOg8UDF8zHOUiyuFh1kNBn8femnlyJoghrLq0Suyl2Ewsy2Lo6qHwDfN1uikQR5CEgACwFxQoVW9AHijHjJMzAACRByPhH+7P8enhGIqUfnAPlmHKUcte7pOPToZ7sBtyiyz7FBjqHFJzy8M1iDD1WASPestQoFApUDe2LkasG6G5UraURH1xTxaUPTrZsuwHBX/t/ByeIZ5WPmk5HxScfXwWrkGuYBIZjnrpQ8GqS6t4TE1IT5dSL8ErxAvfbPxG7KXYVPHH40EMYcXFFWIvxSklMSAA7AEFqbk+mp4BtQPdd5u/Q6tprTirTyUt0DQUtoC5kUQA6L+kP3ou6AlrPgXGmnrsH7gGEVJzW6AkjoZcULDm8hoQQziVdErvatmhwLLvgPSh4OqTl+EWRAja+wOPeueBAoVqBzrM7IDm8c0t5MlLFwqSc5JRMbIiPljxgVMdFeQX56NFQgs0i29mpq9Jmjr28Bjcgtzw49YfxV6K00qCQAAIDQWXUhdpgo3aAMhFv8X98O6ydzlrdQ2FakdDLigoVBTCO9QbkQcjNVf4Q8Ers17BgKVvoDQ2x8ZQ8Prc122akqiFAuu+A9KFApZl0WdRT9Sb5I4CRUXYOjpZLceEguhDrpAxMhx5cMRKvfSggGVZvLvsXVSeUBkpuXxcUaWj7zd/D88QT5xPPi/2Umymp/lPUTe2LjrN6mQBTl+orHI4ILj84DKICOfunrNSKRwU7L2zF8QQrqV5A+iGZvFN8NPWnzhrdQ2FptMHWu2+vduoKRHgAwXX0q7pbY+VzObYGAq0o5GrL5l7QS0dFOTktObpOyBNKFh/RW0XveHqIggRnayTY0HBzaeX4BUix8/bXCBUdLKYULDgrHpnb83lNWW+lyNp7eW1IIaQcDxB7KXYTFp4Kx9R3qmaIx1RDgcEVx+eARGhbkQdPMq2NrYmDBRo/QLS87eCZX3gHSpHzGHuM3xDh0JuKPh719+oGlWVw+zEMhSM2zMO/uH+yC/WrrX0UDBi3UeoG1vXyuhRyaEgIiKsBL4D0oKC/OJ81JtUT6/73LbRyaZyDChgWRY9F/RE3dg6yCl6E0JEJ6slDhTcz7yPgPAAfLL2k1LfwxF1L/MeykeUx8DlA53qCCT6kDpobtO1TWIvxenlcECQlbUDRITqoR5oPa0VcopyrDzC9lAQfzwerkGuYFkWqbmbNJ8kmsHYvIjbodAUCtpOb2vhxYcbCliWRf3J9fHF+i+M6ksOBY9zKsI9WIaoQ+N51POHAnXvQKGe7wCfrVfpQEHg3kC4BbnhWto1vavODwVzTs8BMYQdN3fA1imJprIvFLAsi94Le6PmxJpGU0PSlkKlwOtzX0ftmNp4ms/ndUEaOnz/MFyDXPHnzj/FXspzIQcEAnUPweEbLvALc8XA5e/xsBG1LRQwiQyqR1cHABx/eFzTiOcFY/Mi8w6FOihIzrkJYggLzy60sB5TKDh0/5CZmXegpFAwPvF7+ITKkJ7fDLZISdTKsHdgDWwVnWwq+0PB3Yy78AzxxN+7/uaod14oSMpOQrmIcnqTKIAzQcG0E9NADGH7je0lepyja3zieMgD5dh/d7/YS7GZ0vLSUDumNl6d8yqKlcViL+e5kMMCQVbWKmy46gpiCJEHQ3k80nZQ8P3m759NFWiPD57mb4WxeZFlh0I1FCw+1wjEEB7nPLayHkMo+GHLD6g5saYFGOIHBYWKQlSJqoLvNw9FWQOR9GU6WXAPtopO5pZ9oWDQikGoMbGGhR0q54SCD1d+iMoTKiMtL82oXvpQcPPpTfiE+uDbTd/yqpeK9t/dD3mg3MxoqDSlYlXov6Q/KkZWxIOsB2Iv57mRwwBBXFwcmjZtisaNG+tNGWzB37vkcAmU4djDgzzuYhso0M8xmHBwAvzC/DRncobmRdYdCo9hxDo3tJ7mDUsjiTqpoaBY2QGVJlTEHzv+sFJvHQrmn5kPYkhj4lH2lEStuCcLyh6dbFn2gYJdt8qBGMLS80ut1DsXFKy7sg7EEJZfWG6mXrpQoFQp8frc11FvUj1kF/L5XZSGtNbEr819TS9SXfqKOBChMXLbKvZSnis5DBBoZTx2WKzcgA4zZXh5qi/yizN53KHsUNB9fncMWz0MgHq3oGVCS716HRR0mNnOokMhy7KoFl0Rf+3kTknk1ilsve4LYgink/iMiJmHApZl0XZ6W/Rb3E/vatmhwLLvgLShoEj5AE3iPPDGPDew7GUe93cOKMgo8Eb16IoYsHSAlYY0aULBxMMTIWNkZuK+pSmta59/uL9Tdd8fuHcALoEu+L///k/spTx3cnggAIBLqdPgHkz4v/8aAeAzg1o2KGge3/zZmOHbS97GO0vfMao/iCKlj8ahMMrsXc8lnwMxhP9uxcHcSCKXPl7TD03j5GDZjiipzbE+FOy7u0+vOUxfZYMC674D0oWC6EPRkAfKcS65IYSITlbL8aDg64014BdGeJDFx+ZWWlBwOfUyPII98Ov2X3ncSzrSpv1Z38mSjlJzU1FjYg28Me8NpwljktLOjSSAAAAC934M1yDC5dSeEBoKKkZWRNj+MADqkKPRW0abVJ9KmqNpKFSbF3Ep6lAUvEK8UKAogCWfAn3lFuXCJ9QHwfu+Q0kcDbmg4IMVH6BpXFMzn/hKBwU5Oe15+g5IDwqSspPgF+an+fe2fXSyoRwHChLvJGpm1xtDqOhksaBAoVKgw8wOeHnqy3rju9LX7fTb8Avzc6rRSRWrQp9FfVB5QmUeI+fS0b97/hV7CbwlGSAoUBSg/uRq6LNIBuA9CAUFRUovEEOYe3o6WJaFV4gXYg7HmFTqGgp9YDx9oFWvhb2MtuutQ8HS80tBDOFW+i2U1OZYHwruZJyBPFCO6SemW6gvORRERISUwHdAWlDw6dpPUWlCJb1xNOeHgvzifDSc0hCvz30dKjYHQkQn62R/KAjeFwx5oBzHHh7j8XhpSKFS4NU5r+KlSS8hs4DPMao0FLIvBDJGhp03d4q9FJtp0zX12LpU5HArtWRdrPXi33nTFUJBwb3M5SCGsO1GGyRl39K41G0wqdM1FJpGJwNAXnEePII9EHsk1uiRlqFgwNIB6Dy7s96V0kHB7zuqoHxEOR5e5vyhwNR34AmP9UgDCrRjnrNOzTKqd24o+GvnX/AI9tBLjrNtdLKp7AcFZx5HwTXIFWN2j+HxOOkocG8g5IFyHLzHp9FaGkq8kwh5oFxSn6at6cbTGwgIDzBre++IkhQQsCyLLrO7oMPMRmBZNwgBBUcfHAUxhLOPPXHwXgcQQ7iQYvrCbuhQaAoF229sBzGES6mXOJ6FGwqe5D2Ba5Arph6balRfMijIKTqCgHAZ/t5VBWUNRNKXYe/AatgqOtlU9oUCpUqJttPbosPMDmbGPJ0TCk4lnYJLoAtC9xuP9UofCgoVg9EygdBqWl2n8r4/8uAIXAJdMG7POLGXYjMl5ySjWnQ19JjfQ1Ln7ZaUV5yHVtNaoeGUhpLaxZEUEADAf7f+AzGEzdfGA3CHraFA612fkrsWC866gxhCbpHhJ2Fuh0JDKPh1+6+oFVPLQse2KRRMOzENLoEuZsJW+ENB3LE4uAS64H5mOZQ1EEkr08mC27BVdDK37AcF004EghjC0QdHLdQ7FxQUK4vRZnobtJ7W2ozpi7Sh4P/++xtuQXKcfewCoaKT7a3swmzUn1wfr8x6xaka7not7IWqUVV5eLVIQyzL4pO1n8A71FtyAVMOCAQpGiAwNkZRi2VZvDrnVbw651UAW2BrKNC+KatYFcYnjkS1aIKxT4F5h0IdFDSPb8phO2wsQyh4be5r6Lu4r4V661CgYlVoNKURPlr1EcoaiKQv7smCskcnW5bwUJCW1wgVImX4fP0gHvXOAwURB76DPFCOE49OWKiXJhQceXAE8kA5QvcHQ6joZDH02frP4Bvmi5tPb4q9FJtJe/yx+/ZusZdiM8Ufj5fs9IcDAsF2DRC8D/ULgKk2Xt0IYgiH7x+GraFg3J5xqDGxBgDgk7Wf4NU5zWHsU2DZofAgHmR5a1IKF/BYjxoK7ma042FxDFiDgi3XtxjBStmhwLLvgLShYNSmEfAPlyM5pxpsHZ2sluNBwfW0DvAMIfyxYziPemlBQV5xHhpPbYxOszppPkXbPjpZDK24uALEEOadmSf2Umym3bd3Q8bIELg3UOyl2EyH7x+GW5Cb2XRcR5cDAoH2yMAFwGBwQYHhp2DAllDwzcZv0H5GewDAq3NexadrP4WxT4E1h8K5p/8PMoaQlvcqzI0kGuoYwg94wCtEjuxCPm+S5qGg98Le6Dizo9FRRdmgwLrvgDSh4HTSacgYGSYdCYIQ0ck6OQ4UqFgVus17DfUneyKv2BdCRCeLCQU/b/sZniGeuPJE/99F2lBwP/M+ykWUw+CVg50mxfBxzmNUjaqKXgt7OU3fQHJOMmpMrIGuc7pKtm/FgYFgKdS/wNxQMOnIJLgGueqdO9kGCt5Z+g4GLB0AAKgWXQ3jE8drvpMILRRYcygctnoYOsxsAq7pA3NqkdAAQ1a5oiSOhsZQcDHlIoghLD63mKO+dFCQk9OJp++AtKBAe/TUPL655gzdttHJpnIMKJhxcobGLGsThIhO1sn+ULDn9h4QQxyTPYBUoUCpUqLbvG6oFVPLaVIMlSoleszvgerR1c30S0lPCpUC3ed3R9WoqpL2UHBgIMgCsB7moCA9Px2eIZ4IPxCud7XsUNBhZgd8teEr5BblghjCgrP62/5qnwK1Q+FEzjuqWBUqT6issd3kHkk01vnk8yCGsPFqNEriaGgMBd9s/AbVo6tboNOSQ0FERFAJfAekAwULzy7kSJN0bih4mPUQ/uH+er0tto9ONpT9oCC7cDnqxtZFt3ndLASCSQ8KIg5EQMbIzKSeSlP/7vkX8kC5U9lI/7nzT7gEumDfXT6/F44rBwcCwBIUfLL2EzSe2thoG61sUFArphb+3fMvLqRcADFkMut7KmmG5oy+A7iik88+PgtiSK9JxjoU/L3rb1SIrKB5I+fnaKi3IgDlkZbXFl4hXgjeF2ylnj8UmPoO8IEIx4eCrMIsVIuupnfkpC/nhAKWZfHesvdQLbqanvES4CxQ8NUGGXzDvHA73VrfiHSg4OSjk3ANcjUTwS1N7bi5AzJGxjHqKl2tvrQaxBAmHub+kCglSQAIAHNQsOvWLhBDHC5kpYMCFdsPrkGuSDie8Gz8MCk7yaBS11DoBa7o5OhD0Xp2xVqZhwIVq0Kd2DpGkawlh4LwA17wCJYhNfcGj3p+UGDYO7AKtopONpV9oeD3Hb/DO9Qb9zPvm6l3PihYdWkViCGsvsT1JihtKNhyfQOIIcw86QKhopPtrdyiXLw89WW0m9FOsufRxnqU/QiVJ1RG38V9LeziSEtXnlyBb5iv0/R3SAQIAC4oUKqUqB5dHT9v+5njTiWHgtRcDxBDWHt5OWIOx8ArxMvkH1nXUJgIrujkPov64K1Fb3HcnxsK9t/dD2II++/uN6rnDwXFymLUiqmKL9a7oyzZB/oynSy4AVtFJ3PLPlBwObU6XINceXxCcR4oeJq/C1WjqmLg8oEW6qUJBU/zn6J6dHX0XdwHLDsQQkQni6FvN30LrxAvo+ZI6UqhUuD1ua+j5sSaSM3l8/rh+MouzEbTuKZoGtfUaSK1JQQEABcU/Lj1R9ScWNMMcZYMCs4nq48DjjzogtFbRqF5fHOTGkOHwkToQ0GhohBeIV6IOmQuAdEUCkZtGoXaMbXNrJ8fFCy/oLZbPpe8HGUNRNKKe7Kg7NHJliUsFLDsffRa6IUGk11RqODzQuscUPD5ejcEhPvyaHaSHhQMXzMc5SLK4WHWQwgVnWxvaXcnLeeQSEv/99//wSXQBQfuHRB7KTYRy7IYvHIwfMN8nQbaAMkBAWAMBdqI3yMPjpip5w8FO27uADGEuxke6Le4Mt5dNsDg+9wOhYnQQsGe29tADOHM4zMWnkUHBUXKdFSIrGDljNA6FHSZ3QU95vfQfFX6QCQtFFj2HZAuFGizMDZfqw4hopPVciwo2HVrvSajwQtCRSeLBQXaYxDDqRppQ0FSdhIqRlbEu8vedYotaADYen0riCFEHIgQeyk208TDEy0cwUlXEgQCQB8KlKoCVIysqOnqNyd+UDD/zHwQQyhUbMbLU2X4ZdtL0B9JPJ102oxDYSIAb/zvv5dQeUJlHudjaijYdK2F5pP9OSv15qHg+MPjIIaw/sp6vatlgwLrvgPSg4K84jzUja2Lt5e8DSGikw3lGFCQW5SLepPqocf818Gyr0CI6GS17A8FyTnJqBhZER+s+IDjjVOaUKBiVXhr0VuoFl3NabbV72feR8XIiui/pL/T9A3svbMXLoEu+HPnn2IvxeaSKBAA+lDw6dqP0WpaKyv11qEg/EA4ykeUh1KlhHuwG6YcdYX+SKJlh8JEdJwpx9DVVcE1fWCqgxi62hUtEnzA17yICwo+WfsJ6k2qx2HuUTooyMl5lafvgLSgYNyecXAPdseNp9qmS+eHgt+2/wbPEE/N39n20cmGsh8UsOxWvLvsXVSeUNnCG6f0oCD2SCyIIWy/sV2U57e1ipXF6DqnK2rH1EZaHrcVvdT0KPsRqkZVRff53Z0mT0JfDggETzRAwGfETQ0Fyy68AmJIc45oSZah4IctP6DVtFa4n3kfxBC2XA+B/kiiJYfC9Px0yBgZ5px2B9f0gbFyinLgFeKBsP3u4GteZAwFj3Mewy3IzcK4S8mhICKCKYHvgDSg4Fb6LXgEe+B///3PqN55oeDog6OQB8ox4eAEvavOAQULzrqCGMK6K+us1EsHCs4ln4N7sDt+2faLXZ9XSP2z6x+4BrlqLOalr2JlMV6b+xpqTKyB5Bw+r1/SkwMCwVYNEAyG+hfUmtbjSZ4LZAzhz52/8ag3DwXvLXsP/Zf0x947e0EMaZpFdD4FlhwKtbOo9zKXg2v6wFiLzi0CMYQ7GatQEkdDfShgEv8P3qHeyCjIsFDPHwpMfQcs16vl+FDw3rL3UCumFnKLuP7/Oh8UFCoK0Sy+GTrM7MDxKUbaUHA/8wb8w13x6Vo5hIpOtjcU5Bfno3l8c7RMaGk0rixdaePfDYFU2vpt+29wDXLlODJ2HjkgEGiPDOQAhoMvFPiEEtrNKAdzgUiG4oaC9jPa45uN32DO6TmQMTK9X86dKFJ6wD1YbtahcNSmUWg8tbHmq0RYg4J+i/uh65yumq/4ORrqdAxFSj9Ui3bDd5u/5FHPDwoMewdWwlbRyaayHxRsv7FQEzS1wkK9c0HBv3v+hVuQm4XoVWlCAcuy6LWwF2pOrImMgr4QKjrZ3lDw09af4BHsgQspfP6tHV9av4F+i/s5Td+AtoF10pFJYi9FUDkwEMwH4AK+UDB6S380nEIwl31gKlMoqBJVBUF7gzBm9xjUiqllUH06KUHTUNgFXCmJDSY3wPebv9e7kghzUJCSmwKXQBckHE/Qu1oyKFhyPgjEEC6ltkFpsw/0ZTpZcBW2ik7mlvBQUKSsi8ZT3dBjfhceHdvOAQVnH/vDNchVL4PDnKQHBQnH1b+DO27ugFDRyTrZBwq0HfiTj04W7DnsKaVKie7zu6PGxBpO0xh5Le0a/ML88NGqj5xm8sOcHBgIsgCsBF8o0MaDPs4xn5JoKh0UFCqyQQxh7um5GLp6KLrN62ZQqWso9IBxINLt9NtmzjQTwQUFU49NhWuQK57kPTGq5w8Fr8x6Bb0XdkJZsg/0xT1ZUPboZMsSFgoiD/4Dl0DChZRaECI62dGgQKFKRfsZ3miR4IIipbF7J5ekAwU3n96Ed6g3Rm0apXdV2lCQkpuCqlFV0XdxX6d5o2ESGafKKcgtykWLhBZ4eerLTmM+ZEkODgQAXyh4lP0IxBBWXfoLllISTaWGgtvpvUAMYefNneg0qxM+X/+5QZWuodA0EEkLC9xn+YkwhoIus7toxt+4ZB0Kjj44qglD2ojSZh/oQ4Fl3wFpQsHDrIfwDfPFz9s+hxDRyTo5DhREHIiAPFCO4w+bQojoZLXsDwVKlRJd53RF/cn1kVOUY1QvTShgWRYDlg5ApQmV9BJbpa09t/dAxsgQtDdI7KXYRCzL4pO1n8A71BsXUy6KvRy7SAJAAPCFgvqT6+OnrT/BUiASt7Zg/1115/Ll1LOoEFkBIftCDCoMHQoNoeCjVR+h8+zOFu6fCC0U3Eq/BGIIS84vsVBvGQo+XvMx6k+urzdqWDYosO47ID0oGL5mOCpPqKyBNNtGJ5tKfCi4+uQqPII98MeOPyBUdLJO9oWCqENRkDEyDntvraQHBdrjDzXUS18puSmoFl0NPRf05BiBlqamnZjG47XaueQwQBAXF4emTZuicePGZnwIrEPB8DXD0WV2F81XJYOCpef/1LgU9jZpQuN2KNQFIlWMrIixu8daeYZEAN4I2dcA3qHeZjre9cUNBUnZSXALckPM4Rij+tJBQU5ONwSUL+bhOyAdKNBOicw7M0/vqvNCgYpV4bW5r6HhlIZ6HhnOAQUXUzzgHuyG33f8bqVeOlBwOfUyPEM88d3m78p0H0eR1lCpSlQVp9ntOP7wONyD3fHDlh/EXopd5TBAoJVlYyLLUBB1KAo+oT56hMofCiYcnAD/cG8cfaDeKTidpDuDNe9QuBOnktxBDGHf3V08/naJaJEgw7ASmBcZQ8H4xPHwCfUxczxRciiIiBhfAt8Bx4eCYmUxmsc3R5fZXTg6nJ0TCqYem6r5GTR+o5U2FBQrs9Fuhj+axslQoNjK4/6ODwWFikK0md4GTeKamDE4k57CD4RDxsiw6xaf10DHV1peGurE1kGnWZ1QqCgUezl2lcSAALAEBf/d+g/EEK4+uap3lR8U/LT1JzSLb4ZF534HMYTswv7QTh9YciiMOPAlvEMJRcq+4Jo+0NeFlAuabUJ+5kVq6aCgUPEUVaOqGk0zGIs/FKh7Bwr0fAesuUMCjg4FMYdjIA+U43SSuTdA54KCOxl34BPqY+HTpnShgElk4BLoghOPOkOo6GR7Q8GfO/+EW5CbhZ9PaengvYNwCXTBmN1jxF6KTaRiVei3WL3rey+Tz+uDc0mCQACYg4Kn+U9BDGHZhWVG9dahYODygeizqA/G7RmHatHloT+SaMmhsNfCXui3uCOMGw25NGb3GJSLKIdCxQ7wMS/SSQ0Fi8410fQ5XLZSzw8KDHsHVsBW0cmmsg8UJGXXg1+YL49tPueAApatiN4Lu6B2TG1kFVr6fZEeFJx8dBKuQa4Yt2cchIpO1sk+UKD9wOIsZj1peWmoHVMbr819zWlsfIP2BkHGyJzGPrqkkigQAOagoE5sHfy18y+OestQ0HFmR3y54UsMWz0Mr819DfojiR1mtud0KMwvzodHsIfmPN90+kBfLMuiweQG+GL9F5oriSgpFHSaJcdbi8qjLNkHWplOFlyEraKTuSU8FHy8xhuVJ7ggPf8Sj3rpQ8Gc07VADGHbjWk86qUDBQWKAjSPb46209uiSKk1DpM2FKTlpaHmxJrouaCnU5j1sCyLd5a+g4qRFfEg64HYy7GJdtzcARkjA5PIiL0U0eSAQJCmAYJ0HtWmUPDusnfRd3FfM/XmoaB6dHWMTxyPDjM76I0cbkGR0k3jUGjcxAfsurULxJCeI5x5KNCmEhqesyWCLxRoRw03X/NEabMP9MU9WVD26GTLEg4KtDHYc06XhxDRyWo5DhQ8yn6EgHB/jFxXHkJFJ4sFBX/u/BPuwe4czn3ShAKWZTFoxSCUjyjvNG+eMYdjNK9Hm8Veik2kTWXsu7ivUwBbaeWAQLBFAwTDAfAZXzGEgj93/on6k+tbqDeFgmJlMWSMDDNPzkRAeADC9oc9qz6dNEXTUPg6jLMP/tr5F6pGVTUyFeGGgt+2/4YqUVU4ttYSwQcKhq8ZjgaTG0DF7kdpsw+0UGDZd0B6UFCsLEaLhBboPLszVOx12Do62VDiQwHLsnhv2XuoGlUVT/NvQIjoZJ3sCwUH7x2EjJEh8mCkmXrpQcGc03NADGH1JfGilW2pYw+PwS2Iz+SHNFSkLMIrs15Bndg6TpPKWFo5IBBojwxkAD5DSaFg1qnpkAfKrXSHGkLBvcx7IIaw/OJyjbnRqmeVuoZCNxhnH7Sb0Q4fr/mY4/6GUKBiVag5saaFs+1EWIKCR9mP4BrkitgjsZorJc8+0IcC674D0oKC2COxkDEynEo6pbli2+hkU4kLBcsvqH9O11xeo7li++hkQ9kHCnKLvNFgck10md3Fyiy7dKDgetp1+IT66B0VSlsZBRmoN6keOs3qpHecI22N3jIabkFuOPaQj7unc8uBgWAmADlKCgX77/bSePxbO0fWQcGh++rtZm0C4dnHZ59V6RoKDbMPnuQ9gYyRYf6Z+Wbur4OCfXfVRwsH7x20sJ5EmIOCcXvGwSfUB5kFmXpXSwcFOTlv8vQdkAYUPM55DP9wf44ue+eEgid5T1B5QmV8uPJDo3rpQ8H3m2vCO5RwPY2PEYzjQ0GxshgdZ3ZEwykNORwWpSeWZfHhyg8REB6AOxl3xF6OTbT0/FIQQ0a5Ms+vHBgIsgAsRkmhIDlHrskV4LM9p4aCFRc7P/uhIIYMTIMMHQp1ULDi4hIQQ3iY9dDC/dVQ8N3mOqgdU4vH2VQijKGgUFGIKlFVzOwulBwKIiLGlcB3wPGh4NO1n6JiZEU8zed6PueDguFrhqNCZAUzeezShYKdN3eCGELcscYQKjrZ3lAwZvcYuAS64OiDozwe6/jSvj7qdqakrUupl+Ad6o2P13zsNFkSZZWDAwFQUihg2RXwDydEHmwDvtHJEw7K4RvmijH//YMaE2s8+w63Q6EaCr7aUBdN45pYvXuxcisqTSD8ubM+rPkUqJUIfShYeFYd33vlibmP8vyhwNR3gA9EOC4U7L+7HsQQZp+abaHeeaBg0zX1C/LCswst1EsPCjILMlErphbeXPAmVGwOhIhO1sk+ULD/rgvkgXIE7wvm8RjH15nHZ+AR7IHRW0aLvRSbKLswG03imqB5fHMerrHPjyQABEBJoaDdjHr4ZqMMfKOTf9jSH83jCUNW1Ua3eW88u27OoZBlN6NuLOHHrfVg3GhorO03toMYwqkkd1jzKdApEYA3WPZNdJjZDn0W9bFSzw8KDHsHlsMWKYncEh4KFKpqaJnggVdmteOx8yJ9KMgsaIqaE+Xot/h1Hp9mpAUFI9eNhH+4v54RjO2jkw0lLBRkFDxBnVhvvDaXoFStsFrv6MouzEajKY3QdnpbFCj4vH45tliWxZBVQ+AX5mdkYvdCEgECoCRQ8N6y99BvcVvwjU4esHQA3l7SAe1mEL7aUA/a6QNzDoU3nt7QOA66wrjR0Fifrf8MjaY0AsvuAB/zIp0SceSBB4ghbLm+lke9ZSgwnSw4B1tFJ3NLWCiYfHQMZAzhxKOXIER0sqNBwdcbP4FfmBz3MytBiOhksaBg/ZX1HLkTgJShYPia4fAP98edjAEQKjrZXmJZFsPXDIdvmC+up/GBV8fX5KOTTZrHX0gtCQEBwBcKRm8ZrWkEtB6IBAAtE1riu83fwS/MC5EH5dBOH5hzKJx2YhpcAl2QVbgK+o2GxipQFMA/3F/jtgZYMy8y1rDVPdFwigwq9k2UNvtAK+7JgrJHJ1uWMFCgbSQctWkohIhO1skxoGD37d0ghjDtxAQIFZ2sln2h4EneE1SJqoJ3lr5jZtdDelCw+NxivYQ8YaKT7SntyOTS80vFXopNdPj+YbgGueLX7b+KvRSHlMSAAOADBREHIhAQHqD5yjIUsCwLvzA/jN09FsQQ1l7+B9rpA3MOhYNWDMKrc17VfGU4faCvdVfWcUw88IMC7ajhpCM/oDQ2x/pQYNl3QHpQMGLdCL1GQttHJxtKXCjILcpFvUn10G1eN83RiO2jkw1lHyhgWV98uLIHKkZWtJKQJx0ouJ1+G/7h/kajyNKFgospF+EV4oWvNnwl9lJsotTcVNScWBNd53RFsdJ8rs3zLAkCAWANCpacX6IJKNK+wZmHgvT8dBBDYBIZEEMad7T1KFK6aBwKYw3qVawKFSIr4N89/+pd5YaCIauGoNW0Vhzrtw4F/+75F75hvppRw0SUBQqs+w5IBwoO3DsAYggzT87Uu+q8UPDLtl/gFeKFG09v6F2VPhQsPf8yiCGsvBjCo97xoUChUqDrnK6oG1vXaDwYkCIU5BXnoVl8M7RIaOEUqYxKlRJvLngTVaKqWJkMe74lUSAALEHB/rv7OUKAuKHgzOMzIIYwZvcYEEPIL1a/4Z5OitE0FPaAvs2xttFw7529RusxhIKcohx4hXgh/EC4mfWbh4JCRSEqT6hs1NGbiNJAQU5OX56+A44PBQqVAq2mtUKnWZ04GgmdDwoO3z8MGSND9KFojnrpQsGj7EcoH1EeQ1dXhlDRyfaGgqC9QZAHynHg3gEz9dKCgi83fAnvUG8efi7S0NjdYyEPlGPP7T1iL8Wh5YBA8FQDBBk8qrmh4Hb6bRBD2Hlzp1G9KRRot/V/3PojasfUflapayh0gb7NcfShaHiFeJlxQtRBwdLz6nHB2+mW3gy4oWDB2QUcMc5AaaAgIuLfEvgOODYUTDk6BTJGhhOPTpipdx4oKFBcQJO4Jug0q5MF1z7pQQHLsui/pD+qRVdDWt5dCBWdrJZ9oODoAxe4BMoxdvdYK/XSgAKtWc/c03PFXopNtPnaZhBDBpb0L8QtBwSCzRog+AwAn5AJUyjILcrVa+wxliEUTDoyCR7BHhi0YhB6zO/xrErXUGhoc9xvcT/0XtjbwnrUUPDusmp4ZVYnHus3hAKWZdF+RnsLAU2J4AsFpr4DfLb+HBMKknOaICDcH99s/MZKvXNAwf/+84VbkBsuply0Ui8tKJh5ciaIIWy6tklzxfbRyYYSFgqyC5+iwWQfdJolQ7GSzzSQY0PBzac34Rfmh+FrhjuFWc+djDsoH1Ee7yx957kOLeIrBwQC7ZEBAfgGpYEClmXhGeKJyUcnm6nXQcGv239G46mN0Xpaa4M3G0OHQjUUFCsHwSfUx8IxgFrp+cvhFkSYdKQFrPkUqKWDgsP3E0EMYev1rRbqE8EHCgx7B5bBFimJ3BIeCj5b74kKkS5Iy+MzNyxtKDidtAMugYSgvX4QKjpZDCi4+fQmfEJ9OJrUpAsFn6//HD6hPrjx9C0IFZ1sLxUpi9BxZkc0mNwAWYXWjmwdX4WKQrSf0R71JtVDej6f9NwXcmAgiAcgQ2mhoFZMLaPGP2OpoeCDFbXRe2Ev+IT6IOpQFABzDoXrcfCeC4ghHH9o+UVrzuk5kDEyPMo2DUQyLzUUDF1dHY2mNCyVzbG+TCcLTqGsKYmWJRwUHLp/CMQQZpz0gxDRyWo5BhQUK4vRdnpbtJrWDMXKlyFEdLJa9oUCpUqJrnO6ot6kenrNvvqSHhSsvLhSb2vd9imJ9tafO/+Ea5Arjj/k0xjq+Ppu83fwCPbQCz17IWtyYCDIAjAXpYWCNtPbcATeGGsl2s0gDF9dF8QQ1l9ZD8C8Q2HQ3mEICCcoVR9Cv9HQWL0X9kb3+d1haSSRSw+zlsI1iDD5aDOUxuZYX9yTBWVLSbQu20OBUqVEm+lt0GFmByhV52Hr6GRDiQ8FwfuC4RLogpOPTkKI6GRD2Q8KIg78ABkjs9B0B0gJCu5n3ke5iHL4cOWHelvr0oUCraOq9kOR1KXtg5h+YrrYS5GUHBwIgNJCQa+F1THYJBHOVBUj/fDFeplmKuE8APMOhd3mdcN7yzpBv6fAWMk5yZAHyjHj5AzNFf5QMHb3WPiGeSGr0AMltTnWhwLLvgPSgoK4Y3GQMTK9aFLbRiebSjwouJByAW5Bbvjff//Tuyp9KDj7uCXcggh/7xrBo97xoUCpUqL7/O6oObEmR6iW9KDgcc5jVImqgj6L+jjFOfuVJ1fgE+rzIrSoFJIAEAClgYKhqwk95leDJUdDbfPh5+u6wyWQUKQcAkDB6VCYV5wH92B3TV+CYaOhvuKOxcE1yBVP8p7oXbUOBQWKAlSeUBk/bv0RJXU0NIYC674D0oCClNwUBIQH4OuNXxvVOx8UKFQKtJ/RHs3im3FMsEgXCgoVhWiZ0BytpnmjUOEPoaKT7QkFkQcjIWNkFkbYpAMFKlaFXgt7oVp0NaTkptj1uYVQblEumsc3R9O4pk4ROW1vSQQIgJJCwQ9beqNlAsGSo+Gl1EsghjB45WA0mlId2kZDLodCbTyrruubGwq6zumKfov7cTybZSiYf2Y+iCFcS7umfUaUBgpycgbw9B1wfCj4fP3nqBBZwQiutHIuKAg/EA55oFxvJ8RY0oSCP3f+Cfdgd5xLPgShopPVsg8UnEpyg1uQK/7c+aeVemlAQcSBCMgYGXbd2mW35xRKLMtixLoRTuWfYG9JCAiAkkDB//33f6g3qTIsORpuub4FxBC6z+uOAUsHAFiJIqWc06Hwn13/oGpUVaMtKEMouJd5z0o8LTcUsCyLttPbcoBEyaEgImJsCXwHHBcKDt/frvHvn2ah3jmg4FJqdbgHu+OvnX9ZqZcWFOy/ux8yRobIg5GaK7aPTjaUsFCQV5yOl6f6oO10GQoVG3jc37Gh4MiDI3ANcsU/u/4R/LnsoVmnZoEYwqJzi8ReimTlMEAQFxeHpk2bonHjxlacCvlBQci+EFSeUBmWHA0TjifANcgV9SbVw+87fgcAnE6K1DQU9oa+o2HHmR0xbPUwjmfSQUHUoQh4mTs5IwAAvp9JREFUhnhaGdkxhYKD9w6CGMK2G1zdzPyhwNR3gA9EOB4UKFUV0Ha6F9rNaG3BlEcraUOBQnUHnWZ54OWprihQ8HnTlgYUZBdmo96kenht7mtG/4bShYJRm0bBK8QLl1O7Q6joZHtBQUZBBl6a9BI6z+7sFL7+Zx6fgUewBw+fkheyJIcBAq34WRdbh4JJRybBO9Rb8xU3FPy962/Uja0LeaD8mTe+uqFQhrxiObTmRRkFGZAHyjHr1Cwz61FDQfsZ5TFoxUAef0tDKBiyaggaT21soaGHHxQY9g4sRVkCkSxLWCiIP/4/EEM4+qAxhIhOdiQomHBwAmSMDIfv14RQ0cliQMGXG76Eb5gvbqXf4qiXHhRsuLpBb8dKuOhktYSFApZl8dGqjxAQHmDFSVUayizIRIPJDdB2elsUKPh8CHohc5IoEADWoGD2qdkghvQ+nZhCwZBVQ9BxZkcQQ9h/dz8AfYdCnXnR+itrQAyZeXFT68bTaSCGsOJiZ1gaSdRJDQWPst+Ca5CrkecBlyxDgelkwTGUNSXRsoSBgtTcVJSLKIcvNwyEENHJOokPBVeeXIFHsAd+2/4bhIpO1sl+ULDhaiyIIQsADUgJCpKyk1BpQiWjmGbpQoF2a33lxZU2va8YYlkWg1YMQkB4AG4+vSn2ciQvBwSCdA0QGCeGcck8FCy/sNwo8RAwhoIOMzug5/yeIIaeddgaOhSqoeCnrY3x0qSXLK4kbH8YvEM9kFtkmH1gWVswPlEO3zAXZBVyNc4ZyzwUcE8WJEJqUPDF+i9QLqIcUnNTIUR0sqHEgwKlSokus7ug0ZRGeuOt0oeC1NzWqBIlw4Clr/MY+XJ8KFCxKvRZ1AdVo6pqfib1JT0ouJR6CV4hXhyTO9LUpCOTNLH1fGyjX8iaHBAINmmA4BsAfGZIuaFAG2hhmrWug4IKkRXQe2FvlIsoB5ZlzTgUrkTzeMIX6+vDODpZX22mt8FHqz6CpZFEYxUpi1Atujy+2yxHSR0N9aHAsu9AIqQCBYfvHwYxhPjj8XpXnRMKYg7HmDHqkS4UsCyLgcsHoGKkKx7nlINQ0cn2hALtGw53fw8gJSjIL85Hy4SWaBbfzCkijbVNkb9u/1XspTiNHBAI9LMMRqO0UJB4R50JYJgjr9ViZBSozYhen/saXpn1CgBuh8LknGRNUJIMxtHJWl1LuwZiCKsvaX9h+UHBsgvLNKOMCSiJo6ExFFj3HUiEo0OBQqVAm+lt0H5Ge45GQueCgutp1+EZ4omft/1spl6aUKAdnV1zeQGEik5Wyz5QcC7ZA+7Bbhb+nbSSBhR8t/k7eIZ44nzy+VLfw1GUlpeG2jG10WV2F6doinQUOTAQTIJ6eaWDgqMPjoIYMvvDfyopGMQQmsUHYOQ6tYMal0Oh1gIzKXsGjKOTtQrZFwKfUB8j6rYOBV3ndNVLWCyZzbEWCnJyPuDpO5AIR4aCyUcnQ8bILPioOwcUqNh6eG1uR9SfXB+5RZb+v0oLCu5m3IVfmB9GrNO6Edo+OtlQwkJBfnE6msX7oGWCDAUKS0FjWjk2FKy5vIbHGK80pGJV6Le4HypGVsT9zPtiL8ep5MBAkAVgBkoLBaeSToAYwukk7hejVZdWgRiCXxghbH87AEpOh8KvNnyFZvHNNF/pGg31oaD1tNYYunoox7OYhwLtbsSay2v0rpYcCiIixpTAdyARjggFSdlt4B/uh1GbRlmplz4UTD5aAcQQ9t5ZwaNeGlCgYlXoPr87asfURmaBfu+PdKFg9JbR8Aj2wIWUVyFUdLK9oOBe5j2UiyiHQSsGOYWVb8i+EMgYmYVjnBcqrRwcCIDSQsG55EEghsw6v0UejIRfmJ/mTVkG4DOjhkK16k2qh9FbRutdMYSCq0+uWmlq4YaCLzd8iVoxtaBQGR9B8IcCde9Avp7vgLHlLZcS4WhQMHyNOypNcMXTfD5vetKFgptPb8I71As/bPGDUNHJYkBBzOEYEEPYfXs3R730oEDbfzT12FQIGZ2slrBQoFAp0HVOV9SJreMUEcB7bu+BPFCOsbvHir0Up5QEgAAoDRRcTiUQQzh4bz9nxbebvkXDKQ1BDOFSaiSKlDKNQ+GkZzW302+DGMK6K+uMHq2DguB9gfAN80V+saU3V0MoeJr/FJ4hngjdH2qmnh8UmPoOlD4QybKEg4I9t/eAGMK8M94QIjpZLfGhQPsp+qVJLyGn6BKEiE7WyX5QcDFlHTyCPfDLtl8s1EsHCpJzklF5QmX0X9Jf79O0dKFg7O6xcAl0wcF7B3nc17GVlJ2EqlFV0XNBTx6GZS9UGkkECICSQsH1tHDN1uwAcPkU9FrYC22nt4U8UI5CRSFOJ4VoGgr7Q+tTMPvUbMgD5WbIWg0FLRPKYfgaruMCYxk6GroHu1sJE7EMBaaTBQdRlkAk67I9FBQpi9Akrgm6zukKFXsCto5ONpS4UBB/PN7oU7Tto5MNJTwUFClbou10FzSNq28FiAEpQAHLsui3uB+qRFXh+N2UHhTsub0HMkaGkH0hPO7n2FKoFOg2rxuqR1dHcg6f38cXKo0kBARASaDgTsYdEEPYdYvA5VNQf3J9dJjRAQ0mNwCg71CoPj4AlBi+Zjg6zOxg9jkup6q3StdfeQOWRhJ1Wg+lygX1Jvng07Uf86g3DwXckwWlC0QSCwoiDkTAJdAF55LPaa7YNjrZVOJAwZ2MO/AJ9eHokZA2FIzd/TtcgwgnH5WDUNHJ9oSCKUengBjC1uvmmgilAwVP8p6gxsQa6DG/h1N8mv6///4PLoEu2HeXz5TIC5VWEgMCgC8UPMh6oJkf/hXGI4kKlQIugS5oEd8C/Zf0B6DvUKj2KWDZkagWXc1i4Ezg3kD4hXmhQKGzObamTdfGaHob3kRJHA31ocCy74A0oOBe5j14h3pzzBA7FxSwLIs3F7yJOrF1jEyytJImFBx5cATyQDmC9v4DoaKT1bIPFJxP9oJHsLsmftySHB8KWJbF20veRqUJlfAom0+zq2NL29MRcSBC7KU4vSQIBAAfKND6B2y8uhHGI4na3oDq0dU1trHGDoWLcSlV7VOw46b5kaPm8c3xydpPYG76gEt9FvVBx5mNwNe8SC1DKLDuO+D4UDBw+UDUmFjDTBCU80DBjJPqsKydN3daqJcWFOQW5aLhlIZ4ZdYrmqZY26YkmkpYKMgvTkOLBB+0SJChQGHp30krx4aC2CNq6+jN1zbzeKxj627GXZSPKI8BSwdYyHp5IVtJokAAWIOC1NxUo4ZAHRTsurUDxBBkjAwzTs7gdCiccnQE3IIIuUUfgys6+WLKRT3gAPhAgdbAaMHZBSiJo6FaaijIyRnC03fAcaFgy3X1yOfyC8st1EsfCu5lVodfmBxfbRjOo146UPD95u/hFeKFa2nX9K5KFwp+2voTPII9cD65E4SKTrYXFJxKcoGbk7j3FSmL0GlWJ9SNrYun+Xx+p1+orHJAIMgoQZaBeSh4nPPY6A0b0ELBjJOvQx4o1zQd7uV0KHx/+ft4Y14TmItOHp84Hv7h/ihU6I/6WYaCn7f9jEoTKuklcpUcCiIi/q8EvgOOBwX5xX6oP9kDvRb24DETLV0oYFkWby16DbViXJBZUB9CRCeLAQXbb2wHMYS4Y3Ec9dKDgq3Xt4IYwuSjkyFkdLJawkJBdmE6Gk3xQ7sZhELFMh73d2z9tPUnuAW5mR0dfyHbywGBYKMGCPiOGHJDwaPsRyCGsOX6FqP6ufh7F6FKlCeIISTnJJs4FCpVSpSLKAcmkQFXSiLLsmga11TPlU1f3FCQU5QD/3B//N9//2dUzx8KTH0HSpd9YFmJEBIKxu35Em5BhKtP2kKI6GRHgQJt2ua2G3MgVHSyWvaDgqf5R1A9ujreWvSWBZiTDhSk5KagSlQV9F3cV+/vI10oGLFuBHzDfHE97W0IFZ1sL628uFLPC0LaktJRhwMCgX6Wwe8oLRTomgpNf+kGr+yA+pMJAeHuYFlTh8ITj04YRCIbQ8GFlAtWzuhMoWDaiWmQB8pxL5PrRZ4fFBj2DixBWQKRLCsRQkDB9bTr8Aj2wJjdn0OI6GSdxIWCB1kP4B/uj8/Wf6a5YvvoZKNnhD2gYMgqD5SPCMDDrIdW6h0fCliWRf8l/VF5QmWOMTbpQcGic4tADGHh2YUQMjrZHrqWdg1+YX74aNVHTuGsaN5vxvHkwEAwAerllQ4K7mXe0zQF7jCpbDejHRpNqYpOs9QjicYOhRMOToBXiBeKlPpvtjooGLdnLALCA4y+bywdFLBsMZrHN8fA5QMt1FuGAtPJgr0oSyCSdSXCllDAsiz6LOqDurF1NTsxto9ONpQ4UKCdZa8xsYaRf4W0oWDp+WkghrDsQgCEik62JxRMPTbVCtRLBwqup12Hb5ivpsFZK2lCQX5xPlpNa4VGUxqZaTiWlnbe3Al5oFzsZfCWAwNBFoCpKC0U3Mm4rfEh2GVSVS6iHGrH1Mana7ugSEkah8LJz77ff0l/9FrYi+P+i8GyMjSJC8Bn60fyWI8aChLvvGnB2lVf5qGAe7KgdIFIYkDB6kurOXo6nA8KtIl/m65t4qiXJhTcz7yPchHlMGTVexAqOlkt+0DBxRRveAS7G1mSc8nxoaBIWYT2M9qj4ZSGHGOt0oOCrzd+Dc8QTz1vEunqXuY9VIysiD6L+oi9FN5ycCAASgsFt9I/5XwTTs9PBzEE71BvhO4Pxemk8ZqGwncBqKBQKeAX5md2m+d8crjGvKQXuKYPTLUSg1YQmsb5g2X5NA6aQoFl3wHHh4KcohzUnFgT7yx9h6PeeaDgUfZZlIsoh0/XfmqhXlpQoGJV6DG/B2rF1NLseAgTnayTsFBQoHiClgneaB4vR35xIo/7OzYU/L7jd7gFueHko5Nm6qUDBYvPLQYxhFmnZom9lDKrUFGIjjM7om5sXaTlpYm9HN6SABAApYGCG0/VWQaJd/YYfEfbH6AdSdQ5FKqPD449PGIycaCvsbvHonyED4qUOkdDS3qQ9QAugXLEH5eBr3mRMRRY9x1wbCj4c+ef8AzxxO10c29Q0ocClq2Gd5b6olp0FR4jUtKBgomHJ4IYwn+39N/cpAsFv2z7Be7B7jiX3A5CRSfbCwq2XncBMYSJhydaqXd8KLj65Cp8Qn3w8ZqPnaJv4NtN38Ij2AMnHp0QeyklkkSAACgpFFx9EghiCPvuDjSoX3p+6TMguJZ2Ta+hUD2SGHmwE7xDvVGsNP00z7IsGk9tjM/Xfw6u6QMujd09Fn5hfsguXAC+5kVqqaEgJ+cTnr4DjgkFF1M6wDXIlYefurShYP6ZCI2NdS0IFZ1sbyg4n3we7sHuZmbapQcF225sAzGE2COxEDI6WS1hoSAp+x4qT/BAv8UyqNj1PO7vuFCg7Rt4eerLyCnKEXs5Zda8M/Mku9NhcyAYP348iMjgT9WqVXk/3rIxEX8oOJd8DsQQjj4wnD5gEhn4hfnBPdgdCpXCqKFwLvotJry1qBa4ApHOPj5rNLlgGQoKFYWoElVFzw6Vv6OhWusREfFPCXwHHAsKWPYA3pgnR+OpXihU8HkTliYUPMh6gIDwAHy69j0IFZ2slv2goEBxAS0TWqJFQgs93wxjSQcKUnJTUDWqKvos6qM3BiZNKFCxKvRa2AvVoqshJbc/hIpOtpe+2fiN0/QNnHl8Bp4hnvhi/RdiL6VUEgQImjdvjsePHz/7k5rKZ9tVLetOhfyg4NjDYyCGcC75X+hPH3y85mNUi66GFgktTBwKi5XF8A3zQNh+7kCk//33P5SPKG+0e2AeCrRnYlee6L9Y8ocCU9+B0mUfWJZwULDw7EKNba8nhIhOVktcKGBZFn0X90X16OqaM3bbRycbyj5Q8PsOX7gHu/F4kXZ8KGBZFgOWDkClCZXwOOexUb30oCD8QDhkjExzjFP27AMxteT8Esl+mjZWen466k2qh3Yz2vFI/3RMCQIErVu3LvXj+VkXW4eCfXf3PTsW0J8+6DSrE6pGVcXglYNNHAqPPjgKYghHHoyBcSASy7JoOKUhvtzwJcezcUNB59md0Xthb456flBg2DuwGKXNPrAu20NBRkEGqkRVwUerPoIQ0cmGEg8KtAZEhgZY0oaC3bfVpjDRh/whVHSyPaFAGz3NPfkBSAkKjjw4ApdAFyODM2lCwdUnV+Eb5usUfQMqVoX+S/qjfER5C71Sji9BgMDb2xvVq1fHSy+9hCFDhuDWrVtm6wsLC5GVlfXsz4MHD3hmGViGgh031XkFOiMgNRSUj/CAT6gPxieON3EoDD8QDp9QH80OgGEg0pnHZ0AMYfuN7WbWYwgF2ubFDVc3mKm3DAWmkwX/oSyBSNZlWyj4YcsP8A3z1TOxcT4ouJd5D35hfma2B6UJBen56agVUws95neFin0ZQkUn2wsKLqX6wjPEA99v/t5KveNDQUZBBl6a9BI6z+7M0eMkLShwtr6BoL1BkDEyC9HZ0pDNgWDr1q1YvXo1zp8/j127dqFbt26oWrUq0tK4Ry+4eg74ZxmYh4INVzeAGEJKbsqza2l5E581FC6/sMzEobDPoj7ou7iv3l10UDBmN9dxgbF0UPDZ+pGoG1vXSha5eSjgniwoXSCSvaHg5KOTkAfKObqfnQcKWDYFvRb2Qq2YWsgsMPezKj0oGLZ6GALCA3A/8z6Eik7WSVgoKFSkovU0bzSNkyO/eL/VekeGApbdio9WfYSA8ADcybhjpl46UOBMfQPbbmyDjJFprO6lLcGnDHJzc1G1alVMnMg9GmO8Q5CUtEwDBHxHDLmhYMXFFSCGDMw6Dt8//AwIzicPNWgoLFYWwyfUhyNzey5YlvDyVL5mRIvxJE8Gj2A5Ig6E8ag3hQLLvgOODQUqVoVOszqhZUJLM/DkHFAw/UQNs06YhpIOFGjPc5eeX6p3VbpQ8Ov2X+Ee7I6zj1tCqOhke0HBrFOuIIaw8uJKK/WODwXO1DdwJ+MOykeUR/8l/SWVWWBOdhk77NWrF0aNGsWr1jDL4H8oLRRoHeP035QWnF2giT0mZBcaOhRqYeHog6Mmd7+YEqyxOe0LrukDY0UcGAKPYMKTvKHga16kDwXWfQccFwpmnFRbwh64d8BCvbSh4Hb6DviEyvDNxgoQKjrZ3lBwL/MeAsIDMGz1MI566UGB9sgw5nAMhIxOVktYKLiUegZeIXJ8tUEOIaOT7QEFztQ3UKAoQLsZ7fDSpJecJp5ZcCAoLCxEzZo1ERgYyKteBwQhUC+vdFAw/cR0yAPlBj90Y3ePhU+oDxpNaYTTSWM0DYWDALAI2x8G3zBfKFSm5/mBewPhH+6FQgX39IG+lCol6sTWwWfrXwcfnwKd1FCQk/M5T98Bx4OC1FwvlI9wxWfrP7FeLlEoULEqdJ/fHXVjayC7sBKEiE5Wy35QoGJvovv87npuhFySDhSk5qaiWnQ1vLXoLb1PbdKEggJFAVomtETTuCbIK+4HoaKT7QEFztY38OWGL+EZ4onTSXx6WqQhmwPB77//jr179+L27ds4evQoBgwYAD8/P9y9e5fX4w2nDKJRWiiIPRID71Bvg+8OWTUE5SPK471l7xk5FI5G74W90W9xP867tprWCh+v+RjGjYZcWn9lPYghjZUoP/MinVaW0HfAsaDgi/X9UC6CkJL7BoSITnYEKNCG4qgtsYWJTtbJPlAQdagcZIwMe27vsVLv+FCgP2KYlJ1kVC89KPhhyw/wCPbA+eTzEDI6WS1hocCZ+gZmnZoFYghzT88Veyk2lc2BYMiQIahevTrc3NxQo0YNfPDBB7h06RLvx5uOHZYOCoL3dUXVKENDpHYz2sEn1Af/7PpHr6FwBoqUBO9QV0w4GGlyt+tp10EMYe3ltZorlqGg18Je6Dy7s94V/lCg7h3I0/MdKLnNsXUJAwUH7h0AMYSE479AiOhkncSDghtPb8A71Bs/bPlB76q0oeDs4x1wDyb8vsMPQkYn2wsKphydYmXEUDpQsO7KOhBDiD8er3dVmlCgdYh1hr6Bk49OwiPYA99s/EbspdhcErEuLjkU/LmT0GhK+Wf1LMvCN8z3WWa4fkPhoft/gRjC8YeDTe4ffiAc3qHez0YT1eKGgitProAYwqJzi4zWww8KTH0HSpd9YF22hYJipTreudOsTpqpikQ4GxSoWBVem/sa6k+uz7HdKU0oKFAUoHl8c7RMaIJCRQMIFZ1sLyg4l+wPj2B3/LT1Jyv1jg8F9zPvo3xEeQxcPpDjrF1aUHAt7ZrT9A2k5aWhbmxddJjZwYKDp3QlESAASgoF327qivYzdD0Fj3MeP5swOHL/iIFDYci+EPiHe0KhMrQ5BoD2M9pj8MrBHM9gCgU/b/sZlSZUQqGikKPeMhSYThZsQ2myD8SAgsiDkZAHyo3O0hLhTFAQeyRWk41h7gVeelCg7cJXb0cLE52sk7BQkFf8EE3jPNF6mgsKFEd43N9xoUCh2oHX576O2jG1LTSrSQMK8ovz0Xpaa6foG1CqlOizqA8qRlbE3Qx+R+BSk4SAACgJFAxbPQw95jeCtqdgv8a5kBjCoXuHDBwKey3shbeXvA19R0OAxZ2MOxrPguVmnkUHBblF2QgID8A/u/6xsCrzUMA9WcDf5lgt+0PB3Yy78A71xi/bfuGoT4QzQMG1tKbwDPHEz9t+tlIvHSj479Z/HEl50oWCbzZ+A68QL1xObQ6hopPtBQXjE10hD5Rj/11r3gmODwXfbvrWafoGxu0ZBxkj4zFqLF1JDAgAvlDw9pK38d6y96DtKZhz+i0QQ6gTU8fAobBQUQivEC9EHYrSPFIHBRMPR8Mj2MPAy8BUaiiYfeoNyBiZBdMQrUyhwLLvgGNDwbvL3kXNiTUt/D9KhJShQKk6jS6zXdFwigfyih/wuL/jQ8HT/KeoObEmei7oyTE7LT0oWHN5DYghzDg5A0JGJ6slLBTsvbMT8kBC4F5XCBmdbA8ocKa+gc3XNoMY4pHaKm1JEAgAPlDw+tzX8enaTzVfTcU/uwheIa7ou7ivgUOhthlOPRWglRoKusyupoEKy2LZOWg7nfD2kjrg41NgDAXWfQccEwrWX2kPYgirL1l7oUiEVKFgwsEJkDEyHLznD6Gik+0JBSx7Fx+t+gjlIsrhQZY5wJEOFGjP2getGKR3Pi1NKEjLS0PNiTXRbd7rUKreglDRyfaAAmfqG7iVfgvlIsrhnaXvOIX5kCVJFAgAa1DQelprg27wQSvawCuE8Nv29gYNhcH7ghEQHmBiMfwwK0LTgNiL8/760oYibblu3adAJzUU5OR8y9N3wLGgIKdoA2rHEPovqQyW5fMmnwipQcGl1EvwCPbAHzv+gFDRyTrZBwoWnasMYgjLLiyzUu/4UKBUKZ+dtZv6J0gLCliWxbvL3kWFyAoaUBMmOlkn4aDAmfoG8ovz0WZ6GzSY3AAZBRliL0dwOSAQZPIEAsASFNSbVM8gEaxFfAsQQ5h2guAe7PLMobDngp54Z+k7Jneeemwq3IJckFFg2mhorJHrRuKlSS9BqZoNaz4FhlqMiIi/S+A74DhQ8MeOP+AZ4o7b6e4QIjpZLfGgQKFSoOPMjmgS10QvylTaUHA34yD8w2X4eI0vhIxOthcUBO4NtHLWLh0o0PpbGIahSRMKnKlv4PP1n8MzxBNnH58Veyl2kQMCwQYNEFhqztMXNxRUjKyIsP3qLAEVq4JniCeIIcw787GmoXAoChUF8Azx5AjhAbrN66YxKjJsNDRWWl4aPII99DIQrJsXaWXqO1Bym2Prsj0UnEs+B5dAF83/39LbHDsyFITtD4M8UM5hZS1NKFCqlOg2rxtqx9RARkFtCBWdbC8oOHgvAPJAOcbtGWel3vGh4Ozjs/AI9sCPW3/kqJcWFDhT34A22nzemXliL8VuckAg0M8y4JseZQgFLMvCLcgNU49NBQA8yHrwbMIg9kjsM4fC/XeHgBjCqaRTBndLyU2BPFCO2adma66Yh4KoQ1FwD3ZHaq7+iz0/KDDsHViEktociwEFKlaFLrO7oGlcUxQptd9zLig4n3webkFuFiZGpAcFkQcjIWNkSLyTCKGik3USFgoyCm6hTqwbus5xhUJ1hsf9HRcKcou2o0lcE7Se1trCXLs0oEDbNzB8zXDJ9w2ceXwGHsEe+GrDV2Ivxa5yYCD4F+rllRwKcoqyQQxhyfklAHQjVpUmVNJrKJyKwL2EchEeUBrlF8w4OQMugS54kvdE/yqMoUDFqtBgcgN8spbLu98yFJhOFmxEabIP7A0FM0/ONDOP7xxQUKzsgHYzWqN5fHMzfhJaSQcKzjw+A7cgN/y580+9q9KEApZlMXjlYASE++NuRlMIFZ1sLyj4coMrvEM9ceWJNRBybCgoUBSg9bTWaDy1sZWpLMdXRkEG6k+uj7bT2zql+ZAlOTAQZAEIRWmg4G7GDyCGsP3GdgBA3LE4yBgZus/vbtBQ2GN+I7y7zDQ6uffC3nhzwZsc9zeEgu03thv4GZjKPBRwTxaUPPvAnlCQkpuC8hHl8dn6z8zUSx8KgvZ6wiWQcPJRIo96x4eC/OJ8NItvhtbTWnMAjvSgQLuNq44BLnv2gWUJCwVLzs8FMYQ5p90hZHSyPaBg1Ka3nKJvgGVZvLfsPZSLKIdb6bfEXo7d5eBAAJQGCk4lkWaU8AQAYPSW0fAI9sCoTaOeORQWKArgEeyB2CMfQD8lMS0vDS6BLkg4nmDm/jooeHfZu2g9rbWV7TFTKLDsO+C4UDBi3SeoEFnB6HjEWNKFgjOPz8A1yAX/7vGEUNHJ9oaCn7b+BI9gD1xIMfeGKR0ouPLkCrxDvY22caUJBdfTrmvG8oaAZXtAqOhke0DBsgtdQAxh5slvedQ7tiIPRoIYwsarfP7uzicJAAFQUijYefMbEEO4k/E9ABY9F/SEjJHhn13/PPtEv/fOXhBDGrtdXUri3NNzIGNkeJzz2MIzzMDdDII8UIYZJ6fzWJEhFFj3HXA8KNhz2xXEEGaf4vP3lR4UFCmL0GpaK7Sa1gpFyqMQIjpZJ/tAwdbrNUAMYbJmosa8HB8KChWFaDO9DZrENUFukfG/ubSgoFBRiLbT26LRlEaa7XVhopP1nhFCQYEWbIavqQuWdYFQ0cn20N47eyEPlFtxm3VuSQQIgJJAgbbTNbtQ3VNQNaoqiCH8sfOPZw6FQXuDUC6inJ7/gBoK3l5SH6/Pfd3qc/zvv37wCyPkFH0DfoFLaijIyfmRp++A40BBoaIQL0+tha5zZFCx70KI6GSxoeB///0PbkFuOPP4jOaK7VISuSUsFKTkHkPVKDn6LvYGyz7kcX/HhgJt7oLu38dY0oGCH7f+CPdgd6PsD+lBgWHfQDqEjE4WWknZSagaVRU95veAQsXn9dM5JSEgAPhCwdRjU+Ee7A6WjUJ2IT2bMBi5buQzh8JeC3thwNIBBo/LLJgA92DCpCM9YOlNvkhZhCpRVTB6S3dYGkk01dwS+g44BhSE7AuBa5ArzifHQ4joZJ0SIQYUHL5/GPJAOYctqTShgGVZDFg6AJUnVMDjnBoQKjrZXlCw9Xq5ZxNCluX4UKCNNNZOQBlKWlAwatMooxl9YaKThZZCpcAb895A9ejqSM7hswPnvJIYEAB8oIBJZFA9ujoA4OSjX0AMoWKk17OGwmJlMbxDvTHh4ASDxy0+txjEEO5nmjYa6mvZhWUghnAp9RKs+RToy9R3oOQ2x9ZlWyi4+fQmPEM88dfOvzRXbBudbKpE2BMKcoty0WhKI7wy6xUznwykBwXxx+NBDGHTtU0QKjpZJ2Gh4HHOBVSe4IL+S9zBspd53N9xoeBuxhqUiyhnJtJYK2lAgfY1cObJmUb10oOCP3f+CZdAFx5hUs4vCQIBYA0KRm8ZjZYJLQHo3uS7zdM5FGqtho1NZwatGIROszpBv6eA603+9bmvo/v87npX+EGBqe9AyWyO7Q0FLMui7+K+qBNbx+jc1nmgYPQWdUre1SdXLdRLBwoupV6CZ4gnvt/8vd5VaUKBilXhrUVvoWpUZaTkNoFQ0cn2gIJiZVd0mS1H3dhqHDbLxnJsKND1DZjzG5AOFGh3bKIPRYu9FIeQRIEAsAQFw1YPe/aGPXb3WLgEumD46raahsIRmHAwEj6hPihW6t788ovz4R3qjfAD4Zor3FBwPvk8iCGsuLjC6FktQ4HpZMEalNTm2N5QsPLiSgsdt9KHgv9ueYMYwpSjE6yXSwAKChWFaD2tNZrGNUVecZ5RvfSgIPpQNIghTdyscNHJagkLBX/v+hWuQTIceeANIaOThYaC/GJXtJ5Wj4ffgONDwc2nN+Ef7m9lx+b5kgMCQUmyDLih4K1Fb2HQikEAgIHLB4IYwoi1I545FL69pCF6L+xt8JiNVzeCGDIyCDGFgu83f49q0dX0XPr0ZR4KuCcL+Nscq2U/KMgqTEP16Op4f/n7FuqlCwWZBZmoHVMVPRe4QMV2gRDRyfaGgt+2/2al8U46UHDy0Um4BblpgqW0kiYUaP1KJhwMhpDRyfaAgm831YNnCOFcsrXJFcCRoUAbwNRwSkNkFmSKvRyHkQMCgTbLYDzPR5hCQbsZ7fDNxm8AAA2nNAQxhIHLB6JFQgsoVRMQEE4I3vcG9N+0P1//OZrENeG4vw4Ksguz4Bvmi3/3/GthPaZQYNl3wDGh4KetDeET6oN7mdbeCKQJBSPXjYR/uD/uZW6AUNHJatkHCnberA1iiDOXw1CODwU5RTloNKUR2s9ozwHe0oKCR9mPUHlCZfRb3E8TnStMdLJOwkGBLqegLYSMTraHvlj/xXMVWsRXDggE+lkG4Vbr1TKEghoTa2DcnnFQqpRwC3IDMYS209ti5LqROPP4jMZ6Vz2SCLBQqBSoGFnRwvypGgoSjr8JeaAc9zPvW1mPIRRY9x1wLCg4+Sga8kBC9KFWECI6WWwoWH9lvVFoie2jkw0lLBQ8yTuC6tFy9F7oAxWbxOP+jg0Fn63/DD6hPrieZq6/QBpQoFQp0WN+D9SYWMPIzEt6UKDNKfh4zcdg2SIIFZ1sD805Pee5Cy3iK4cBgri4ODRt2hSNGzfWSzssORSo2HFwCXTBtBPTcCv9FoghVJlQ5ZlD4eSjk+Ee7I4CRTi02Qd77ySCGMKxh8fM3p1lp6BFAuH95Q3Bb8RQDQU5Ob9Z2B3Ql2NAgVKlRIeZHdBq2ksoVrpAiOhktcSBgtTcVFSJqoJ3l71rdG4oTSjQWq1WjCyHR9lVIFR0sr2gYOn58iCGMP/MfCv1jg8F2nhmdaCUsaQDBdrt9ZenvoycohzN1dLbHIsJBWcen4FniOdzF1rEVw4DBFoZNhWOR0mhIDVX7Tmw7so6bLm+BcQQOs3s9MyhcNCKQXrGQ+rsg1+2dUSNiTU0W3rcOnDvAIgh7LxpeSTRUDMQEfFXCXwHxIeCuGNxIIZw+P5hCBGdbCj7QgHLshi4fCAqTahkZt5YelAw4+SMZz/vQkUn6yQsFNxOPwr/cDmGr/ECy17jcX/HhYK9d6ZDHigHk2jJM0UaUPDtpm/N5BRICwqe59AivnJwIABKCgXnkn8EMYQjD77ExMMTIWNk6LOoD+SBcuQW5aLyhMoYs3vMs3qWjULdWML3m9vB0pv8sNXD0GhKI6jYybA0kqgvde9Arp7vAH9HQzGg4FH2I/iH++PrjV/rXXUeKFh4dhaIIay+ZOnFSDpQcOXJFXiFeD3rl1FLmlBQrCxG59mdUW9SHWQWNIJQ0cn2gILU3PaoMVGG7vPb6zmhmpNjQ4Gub2CWmXppQMHzHlrEVxIAAqAkULDj5g5NjgFh5LrWIIbQc35PtEhogcuplzWf8nc+q9f2FKg/+at7CoyVnJMMtyA3vYYtyz4FWpn6DvB3NBQDCj5c+SGqRFXhmJOWPhTcz/RGQLgLPl4zhEe940NBkbII7Wa0w8tTX+bw9pceFPy962+4BrlqvEGEiU7WSTgoULEq9FvcG5UmuOJRth+EjE4WGgqupbnBN8xL0zdg6XXL8aHgeQ8t4iuJAAHAFwoWnF0AYggFCgatp6mPD5rFN8PIdSMx/cR0uAS66J2DAeP2jENAeACKlZHQ9hQYv2mH7g+FZ4gnnubrv3hbhgLTyYLlKKnNsT2hYNO1TSCGsPT8UjP10oUClmXRe2FH1JwoQ3r+qxAqOtmeUPD3rr/hFuSGU0mnzNRLBwq0EG/oHCpNKIg6FAViCNturIGQ0clCQ0F+cQZaT/PHy1NlyClay+P+jgsFL0KL+EtCQADwgYKIAxEoF1EOAOAX5g5itA6FUzB8zXCNE6FOraa1wsdrPtZ8FQ1jKFCqlKgTWwefr/+c49nMQwH3ZAF/m2O17AMFOUWDUSe2Dvos6mPlk4A0oUBr5bv9xkQIFZ2sln2gYM/tepAxMkQejLRS7/hQ8DjnMapEVUGfRX04enikBQVHHhyBa5Crns23MNHJOgkHBd9s/EbTN9ANQkYnCw0FL0KLSiaJAQFgDQp+2fYLmsQ1QVpeGoghVIpUu9EdvPc5ak6saWB0op1CWHVpld4dDKFg87XNViYQTKHAsu+A40HBr9tl8Apxwe10Pi+60oKCG09vwDvUG6M2jdJcsW1KoqmEhYKn+YdQc6IcPeb7QMXyeZN3XChQsTfRa2EvVIuuhpTcFDP10oCC9Px01I2ti86zOxs4oEoRCpacX6LXNyBcdLJawkHBi9CikkuCQABYgoKhq4eix/weOHT/EIghNIlrAnmgDJdSyeQMaeLhifAI9jA4QlBLBwXvLH0Hbae3tfLJ2RAKrPsOOA4UnHx0EvJAGSIPyiBEdLJa4kCBUqXEq3NeRf3J9Y3+jaUJBSzLYtCKQSgf4Y8HWRUhVHSyvaAgbH8AZIwM/92ytoXt2FDAsiw+WPEBykWUw52MOxz10oGCq0+u6vkNaF+bpAkFf+3860VoUQklUSAAzEFBt3ndMGz1sGfmE22ntUWLhBaYd2YQZAwhPf/vZ7WvzX3NJAJZp2jczyTIA2WYfmIaj5WroSAn5/94+g6IDwUKlQLtZrRDq2mtUKxcCiGik3WyPxREHIiAjJHhwL0DHPXSg4K5p+fqTUkIE52sk7BQcOj+OrgEEsbs9oeQ0cn2gIL44/+AGMKay2ss1Ds+FOQX56PVtFZGfgNaSQsKtOZjL0KLSiYJAwHABQUvT30Zv27/FaM2jQIxhAaTG2DkupH4fP3naD2tGrSOhim5KZAxMsw5Pcfs3cft6Q3fMEJ2IV/fgakl9B0QFwpij8RCxsj0Uh9Ln33gaFBwPvk43IPd8efOPy3USwcKrqddh0+oD75Y/4XeVWlCQXp+OurE1kHXOR2hUDWAUNHJ9oCCM4+bwT2YMHoLn+kVx4YCXd+Asd+AVtKAgptPbyIgPAAfrPjgRWhRCeWAQKDNMgjj+Yjx0IcCvzA/TDg4AZ1mqc2I3ILcMOXoFDSY3AA/bv0RWkfDWafegTxQbmQpqpNCpUCNiTXwzcbOMDd9YKzS+Q6IAwX3Mu/BJ9QHP2z5wahe+lBQpPRC62m+aB7fjIcBieNDQbGyGB1ndkTDKQ05PrlJCwr0t9fVORnCRCfrJBwUZBdmo9GUBmgz3QsFivIQKjrZHlCw5LybFb8BrRwbCl6EFpVNDggEmXpZBjE8HzUeACGzYDyIISy7sAzlI8pDxshADD3bPtI1D4bi7SWEN+bVNXtH7WPUY12m0wdcMvUd4O9oaE8oYFkW7yx9BzUm1kBWIddOjLSh4H//fQzXIMLppE4QKjrZnlAwZvcYuAa54vhDc28g0oGChOMJes6KWkkPCliWxcdrPoZvmC+upR2HkNHJQkPB1Sfn4Bvmgo/XuIBld/G4v+NCwZcbvoRXiJeFXY4XsiQHBALtkcGvUC+PPxRcSKFn+enEEMpHlIc8UI75Z+aDGHrWaZpdmA33YBfEHNYFIhmr3+J+6DCzg94Vy1BgOlmwCHwdDdWyHxSsvrSSx5mnNKHgyIMjkAfKEbzvCwgVnayWfaBg391GkDEyhO4PtVLv+FBw9vFZeAR7YPSW0Rz10oICbT/HkvNLNFdsm5JoKmGgQNc30Bg5RW9CyOhkoaFA+2/yIrSo9HJgIMgEoA044gcFW68P1+wIfAJiCLViaqFFQguM2jQKL099+VndyovqN8Tb6b/DODoZAO5k3IGMkWH2qdlGz2AeCrgnC/g5GuokPBRkFshQPdoL7y57h8f5mrSgILcoF42mNEKnWZ00M8eJkDIUpOcfQO0YOd6Y5wulis+bvONCQW7RFbw89WW0ntbawjGONKDgUuoleId6G/VzAFKEgq83fg3PEE+cTz4PIaOT1RIOCs4ln4NniCe+3PAlj/u+kDk5MBBkQf2myB8KZpycAXmgDDNPqncKakysgZHrRqJZfDMDf/5hq4eh9bTWmq8Mo5MBYMzuMfAP9+ewhAW4oMCy74BjQcEPW9SNkvczB0OI6GQxoWDUplHwCvHCtTT9YJxESBEK9EcM72eWg1DRyfaCgs/X+8In1BtXn1y1Uu/YUJBXnIcWCS3QNK6pmdcH6UDB4nOLQQwZffCRHhRkFWah0ZRGaD2tNfKL+fyOv5A5OTgQACWBgrG7x6LmxJr4dlN7EENwDZIjdH8oiCEsPrcYgNoD3j/c3yiFTAcFxcpiVIuuhu83f2/hmQyhwLrvgGNAwZEHRyBjZJh05BMIEZ2sk/2hQJtsmXA8gaM+EVKDAm2KofpYR5joZJ2EhYLF5yZpIo0rQ8joZHtAwRfrB8IrxAsXUy5aqHd8KLj65Cp8Qn3wydpPOHYKpQMFLMviw5Ufwj/cHzee3uBxrxeyJAkAAcAXCkauG4nOszuj48yOIEa9SxC2vw+IIdzPvA8A2HVrF4ghnE4y/kVVQ8Gayx+BGOLRlKKGgpwchqfvgLhQUKwsRsuElmg/Q5vAZvvoZEPZDwpSc++jalRV9Fvcz8IxSCKkAgWXUi/BK8QL3276Vu+qNKHgxtMb8A3zxSdrB4Jl60Ko6GR7QMGCs7U1Z9TBPOodFwryi3eiZUJLM34DWkkDCiYdmcSjH+qF+EoiQADwgYKeC3pi8MrBKBdRDvJAOeSBMvywhVA3ttyzmp+2/oTaMbXNvHGE4q1FhM6za/FcbXQJfQfEg4KIAxGQB8qNwnCkDwUs64H3l1dFxciKSMpOslKfCEeHggJFAVomtESz+GbIK84zqpcWFBQqCtFuRjs0mtII2YXZECo6WSfhoEDbNzByXXkIGZ1sDyj4eqMrPEPcNX0DluTYUHD4/mG4Brnit+2/8XjsC/GRhIAAsAYFjaY0wugto0EMwS/MDy0SWqDDzBr4dK3ap4BlWbw06SWzxwHabIN5Z8xPH+hL3TuQU0LfAftDwa30W/AK8TLziyNtKJh35g/NJ4R2ECo62Z5Q8OPWH+ER7GFhh0o6UPDLtl/gHuxuBKHSg4Lcolw0i2+GZvHNkFt0D0JFJ6slLBQsPjdH0zfgDiGjk4WGgid5LqgVUxGvznnVKDvihcoiiQEBYA4KWJaFZ4gnftn+C4ghlIsoh+Grh8Ml0AUzTg4AQLiQ8rMmmpT7B/XvXX8jIDwAecXjwTV9YCxT3wHr5kVq2Q8KWFaJPov6oE5sHQvbg9KEgtvpt+EX5ofP1r8FoaKT1bIPFGy82gjEEKYem2ql3vGhYOPVjSCGMPnoZI56aUHB5+s/h3eoNy6lXtJcsU0gknkJAwVXnlzR9A0MBcv2gFDRyUJDgYotQp9F1VBpAuFB1gwe938hvpIgEABcUPAk7wmIoWeWxS6BLvhhyw8ghjQNQOMRup/gE+rOOfZUpCxClagq+GnrT5orptMH+jKdLJgLvo6GatkHCpae7wliCJuvbbZSLy0oUKqUeG3ua6gbW1djrlR6m2NHgIJH2dtRMVKGd5aWA8um87i/40LBg6wTqBhZEe8stTTaKg0o0HqYLDi7wKheWlCQW5SL5vHN0SSuieaDgXDRyWoJBwVBe4MgY2TYebM7hIxOfh4lUSAAjKHgdNJpEEMYsGTAs4bCLzd8ifIR5Z/lrHeeXQsfrNDZHOtrxcUVIIb0PgUAlqCAe7KAn6OhTsJCwdP8KagSRRi8sj6Eik4WCwq0wUX77uq/mEkTClSsCm8ueBPVoyvhSV4AhIpOtgcUKFW18MY8L9ScWA1peWlW6h0bCi6mXIRXiBc+X/+5mXppQAHLshixbgS8Q72NpiOkBwW7bu2CjJEhcG8ghIxOfl7lgECgzTKI4lGtg4INV78AMYTmcc1BDEEeKEeP+T2epRkm5yRDxsgw78x74EpJ7LmgJ16b+xrHc5hCgWXfAceBgq82fAX/cC8kZROEiE5Wy/5QcObxGbgFueGvnX9x1EsPCrRws/v2bggVnayTsFDw/+3dd1hTZ/sH8CchYSMCIu49695V21rrat2tvnVU7bLL1i5bu0vYwwEq7r33xj1wi3tPQFREUDZhZZ3v+0dyIISMA/LAOTTf6+r1+73HOycokHxyzvPctyzqe4h9CE4+rgeao5NpoyBHUROvzW+KNvPbGFncqR/+o2DZlWUgMoI119cYqRcOCp5lPYNnqCcGrh1Y+CHPioLyDQ9BoD/LIILDI7QoCD9PYOcnQbXAapD6StFmfhs4BTgh+HQwAGD51eUQyUR4kfMChgORHqY+BJERrL2x1sRzFEeB5b4DlY+CU49P6e3LL31HQ76iIF+VhTbz26DDwg4oUBWYqBcOCi48uwCJrwS/H/ld76gwUXAi/gTEPmL4nPgBNEcnVwQKPtlVHY4BBHdfWrrVBvAZBdeTVsPe3x6Td082U89/FCjVSvRe3hv1ZtczMpDOioLyCg9BwN4ymALtl8cNBT8c6IoW87S3Chz8HQpvHZx5cgYAMHLTSPRa3kvvMd5gUfDLoV/gHuJuYTKeFgVyeQDHvgOVh4J8VT5azGuBXst76Um6aqDgp4NNYetni1svLL3w8h8FWQVZaDKnCbov7W5kpbSwUJCSm4I6s+rg7VVv6/pclN9AJOOhh4KV11bq1g3UBc3RybRRkJnfE83mitBxUXMOHfz4jYJph6ZB4ivBuaemFk1aUVAe4TEIMgGwA44so2D4xuHotayu7naBCKM2jYKdnx0KVAXIV+XDMcARQacN1w54o0BFUCPUCT8d/InDVxdQyr4DlYOCv479BVs/W4P1EIDQUXA0Ttt1cta5NqA1OrkiUTBhxwS4BLogLj3ORL0wUMAwDIasH4IaoTWQmK3/5i88FLDrBrRzCuiNTtaGHgq0ra9HoFqQDWLSnEBzdDJtFOy4awMiIwg7H2ah3oqCVw2PQcDOMuCGgrYL2uLNFW8WLih8Z1WzwjUBbFvbkm+QwIabH4DICO6lWAZByb4DXP5GFYuCG8k3IPGV6BbdGIswUZCel456s+uh76r20DBS0BqdXFEoWHO9WbGW2qbDfxTMPjfbzE4W4aAgR5GD1hGt0XZBW711A8JEwZzoObr+HOtAc3QybRTEpt1DtSAJRm0WgWF2czi/FQWvEt6AICIiAq1bt0aLFi2MzDIwjwKGYeAU4ISOizqCyAhEMoJaMwl+P/IOAO3QmyZzmhjdAtVnZR+8vaoRjC00NEzJvgOWmxdpUzEoUGumoNuSbmgzvw0UanNvlsJDwfjt4+Ea5IonmU9Aa3RyUaJAEwUxadvgHEgwaacnaI5OrggURCfsh8RXgmmHppmp5z8K2JX4TgFOuJdi+MYvLBREJ0RD6ivFjwd+1B2hMzq5KHRQkKfMQ8dFHdF8bjNkFQwDzdHJ1mjDGxCwMT3LwDQKXuS8KBx3TGQEzec2131iIWCYWag7qy5+OPBDicfdS7kHIiPYeGsjDBcaGqbkzoJF4NK8qCj0URB2Xouhc0/PcqgXDgo23tpo5NO0MFGgUCvQdUlXNJtbD9kFLqA1OrkiUJCe54WGYVK8vqwLh25x/EbBiqsrLCwsFgYKUnNTUX92fby+7HWDDwXCQ8Hk3ZNh72+v69pZto6GfECB5fVO/IlAQACYQ0F0QnThYkKJrwRvLH8DREaQlvcDrjzX3kLQbukqnmmHpsEjxENvtbo3TKHA+M4C882LSoYeCuIz4uEYYIup+8vW0ZCvKEjISkD14Or4cOuHRq7wCA8F0w9Ph8RXgovPLoLW6OSi0EMBwzAYuak/3IJFeJzRDDRHJ9NGwa0XNeFgcSU+wHcUaBgN3lv3HtxD3HVX0gwjHBSwDaFWXF2hd1R4KMjMz0Tzuc0r5bnLEgGBADCFAvYTpPZ2gQi9lvVCm/ltADCQRb0B1yACpbp4XwOFWgHPUE8jiwm9YYgC830HKh8FDMNg4NqBaBDWANkFc0BjdHJRKg4FGqYA/Vb3Q51ZdZCWZ+oNTTgoOBx7GERGEHomVO+oMFHA3qPedW8+aI5Opo0CuSIGrSJs0W6BBHlKS8N+AD6jIPDUFBAZwf6H+83U8x8FN5Nv6i3sNIxwUKBhNBixcQRcg1wr9HlfJQIDAWAMBQGnAuAS6FKIgkbhjQpHx3Ze3BljtraG4eyDbXe26bU1Now39FFgue9A5aJgzfU1Bi8E5Ts6uWQqBgVzorVrQg7HHrZQz38UvMx5iVoza2HAmgF6W0HZCAsFlxIvGdyjpjM6uSh0UMAwDCbsmACnAEfcS2kMmqOTaaMgKr41xD4Efx0z1VVRP/xFQVbBNrSY1wLtF7Y3s1VSGCgIOh0EIiPYc5/L18iPCBAEgCEKJu+ejDoz6xReIWDvBT7LegYiI1h/cx0MZx+8u+5d9FzW08xzeEPbd2Amx74DlYOCFzkv4B7ijvHbxxvUCxsFd17Og70/wdT9zUBrdHJFoYBh5IXb8kyPaBYGCjLyM9A4vDG6LelmcI9aeChYfnW53toUeqOTtaGHgiR5Erxm1MTbq6pBpakGmqOTaaKAYYbiw61iuAQ64GGqpe8Bv1FwJO4IxD5i/H3sb+rPVZ4RKAgAfRS8s7oFas2oBSIjqDtL24sgPiMeiy4tgo2PDdLz0qHf5vhJ5j8QyURYfnW5hefwLmXfgYpHwfjt4+ER4mGkexcgVBQUqArQcVFHtIqohzylDWiNTq4oFMyJbgoiI9j3cJ+Fen6jQLu3fRRcg1zxKN3Ym6xwUHAz+Sbs/e3xxZ4v9I4KDwUqjQpvr3obtWbWQpL8IWiOTqaNgrnR2u2r2+5IQHN0Mm0UPMl8Ao8QDwxaO0jXpEs44SEI2FkGczhUa1HQOJygWqA9RDIR2s5vi7qz6hY2S+mzso9B/e+QRRE4B9qZGQesTfG+A+auDuin4lCw72GkmR7lbISHgl8O/QKprxRXn18FrdHJRaGLgqvPV8DWj+CHA3VBc3RyRaAg4oL2EuiOuzvM1PMfBXKFHK0iWpm4LC0sFPx59E+IfcSIio/SHSnfKYklQwcFRVslp4Lm6GTaKMhX5aPrkq5oGNaQw3Av/oWHINCfZbDEYr1Ko4SNjwhi3fqBxuGNMWbrGOQp8+Dg74AZZ4svJlRrVGgQVg1f7Cm+psBYSvYdMN+noCj0UZBdQFB/tgsGrR1kZsQsG+Gg4EjcERAZMfi+CRMF2QXZaD63OTotaoEClRNojU6uCBRcee4GWz8Rpu63tBIf4DMKGCYOE3ZMgHOgM+6n3DdRLwwU7H+4H0RGEHgq0KBeWChgt0r2XNZTdxuK3uhkbeih4Ms9X8LOzw6XEy+X63krKjwEAXvLYDK0X555FMSmxRYuJiQyAomvGPMuzMOBmANGuxMejDkIIiO48GwSDBca6qfkzgL2kzk/UDB1fx84BhDEZ0zmVC8EFKTmpqLOrDp4Z/U7RhbeCQsF7II150Bn3f3QV599YD70UJBVkIWmc+qjy2IJClRtQGt0ckWgYNkVdxAZwYabGyzU8xsFTzKfwD3EHYPXDzbyuwIIBQUaRoN3172LGqE18DTzqV698FDArkmxfCuav+ExCDIBTIElFLBK1v/vWtLvmLp/KhqENSjx6Xn0ltFot6AdGEYDw4WG+jG+s8AbfEDBuafnIJKJEHb+A9AanaxNxaGAYZQYtXkU3ILd8CzrmYl64aCAHZBTvJmS8FDAMAw+3PohqgVVQ1z6QdAcnUwbBTeSD8PeX4Sv9jqD5uhk2ihQqN3QY2lbNAhrYOGyNP9R4HfSDyKZCIdiDxmpFw4KLidehp2fncGaFOGFxyBgZxmYR8Gc6Dmw8dEOv3APdodLoC3UGoKmc2rg671fF6t9kfMCUl8pws+H644ULTTUR4H5vgPeqEwUKNQKvDb/NXRb0k23YKX8RycXT8WgYPnVHroFRZZ+MfmPgnsp9+AY4IhPdxnbAiYsFCy8tBBERrD1zlbdETqjk4tCBwXZBdloMa8FOix8DXnKJqA5Opk2Cn44UBNSX4LohNUc6vmLgqNxoRD7iOEd5W2mnv8oSM1NRcOwhui6pKuFibn8D89BAFhCwbf7voWDvwOIjKDOrDoYuHYgHqZ+otv/+VWx2plnZ8LWz9ZA1SVRYLnvgDcqCwU+J3wg8ZXo2nmyETYKHqbOgVMAwee7m4Lm6OSKQEGeMg3tF7ZHq4hWyFGYesMXBgquJV2DnZ8dpkROMagXFgrYqxwugS662zf0RidrQw8FW+9sBZERzImuD5qjk2mjIDG7D2rOIBiwpguHlfj8RYFao8agtYPgEeJhojuksCIAEADmUDBw7UBIfaWFrYt9T/gi/HwYbP1skKMoal7EMAxaRbTC2G1jjTxrEQrk8nkc+w54o6JRcOflHUh9pSb2tgoTBUq1Et2WdEOzubUgV4hBa3RyRaHgm8h6sPOzMwCbsfAbBUULIjuZ+NQjHBTMuzDPyNUn4aEgJi0GLoEuGL1lNBgmDbRGJ2tDDwVKtRJvruiNurPs8DLHHjRHJ9NGwT/H/4HYR4wjcUc4P4bPEQgIAFMoaBTeqNj6geOPjmPg2oEYuHYg9JsXnXlyBkRGcDTO1A+fFgWl6zvgjYpCgYZRo+eynmg5r6WZy1LCQ8Ffx/6CjY8NLjy7AFqjk4tCFwXb7shAZAQLL7UCzdHJtFHAMB0xbtsouAS6ICYtxkw9/1Fw4dkFSH2lRoebCQkFeco8dFjYAc3mNkNmfqbuaNnbHFcmCqYdmgaJrwRnnhwDzdHJtFGw98FeE7s8hBsBgQAwREGBqgBiH7HeDgMJXshfwNbPVrdOoKh50Se7eqBxeGMTK3K1kcsZuLpll7LvgDcqAgXzLgwEkRGcenzKQr1wUHDq8SmIZCL4n/TXOypMFDxKfwTXIFeM3tIHDOMAWqOTKwIFSy47gcgINt1axqGevyhIzb2OBmENjEz+048wUMBO/ruedN2gXlgoYG95FK3jojM6uSh0UBCTFgPXIFeM2DjC7HuK0CIwEAD6KLj70qcQA44Bjui6pCv23N8DIiN6rS8ZZBVMgWMAgf/JoWafu2TfAfN9CoriDZooeJT+B5wCCKZEdgat0ckVjYKM/Aw0CGuAN1a8YeQeorBQoFQr0WNpDzQKb4SM/AzQGp1cFHoouJF8A/b+dvhqrx1ojk6mjQIN0xCD1zvAI8TNYDubsfAbBauvrwaRESy7YgpowkDB/ZT7cAl0MTK5VFgoyFXmov3C9gZXa6pGBAgCgEXBrntFtwqcApzw/f7v8fXer9FsbrNi1YsvL4LYR4RnWUVrCgxTcmfBLJjrU1Ay3qCBAoZh0G91PzQIq47sgtI1L+IzCsZvH49qQdXwOOOxiXrhoIAdaay97cEmCkJDgVwhR8t5LdFhYQfkKS+A1uhkbeiiIPDUrxDJCA7E1ALN0cm0UXDrRXU4+Nvj450fW2hAxm8U5Chy0GZ+G7SKaIXsAmM/r8JAAcMwmLhjIhz8HXAzmct0TGFFoCAAAAYzzvYstn5gw80NaBDWAFP3Ty1W2W1JNwzdMBTGRiezKbmzwPiWRPPxRnmjYOmVpSAyotun++qzD8ynYlCw7sabHJvD8B8FbAMsw46Y2kRBKCjQb6T0IPWB7iid0clFoYOCqPgo3WCZqaA5Opk2CrIK4tFinh3azLdBjuKCxXq+ooBhHDFuWz84BTjh7su7Zur5j4IFFxcY6S9SdcJDEOzRgWChxdov9kyGSA8EbNvbAzFFPxzXk67r5rbvgrHRyYC5vgOVi4KErARUC6pmMBdc2Ch4lD4b1YIIJuxoApqjkysCBYnZcfAM9cR7694zcx8xCkJAAdtlbf3N9Qb1wkLB8+zn8JrhhXdWv6O7FVW65kV8QQHDMBi9ZTRcAp1xP6UlaI5Opo2CiAstdGtSvDnU8xcF0QmBkPpK8d2+7zg8TpjhIQgy9GYZrDJb++aKNwsxUHsmQeiZUXDwdyg2sGTq/qmoNbMWlGr2zaEkCsz3HagcFDAMg8HrB6P2zNq6+9L6ESYKVBoVei/vjUbhnsjMF4HW6OSKQIFaY4e+qzxQe2YtE5Mm9RMFPqPg1otbcPB3wOTdpuYUCAMFKo0KfVb2Qe2ZtZEs1z+P8FAQdj5MryHUq7U5thx6KDifcF63y6MeaI5Opo2ClzkjUW82Qc9lLcwsUBV+eAgC9pbBJGjfZEyjoEZIDRAZgdRXitFbmqLvKoIh69sV/nmBqgBuwW6Yfni6wSOLUCCXL+bQd6DiUbDm+hoQGcHu+7tN1AsPBb4nfCH2EePMkzOgNTq5KHRR4HtiEkQyguOPeoDm6GTaKJAruqDlvOZot6AdcpW5Zur5j4I/jv4BGx8bEztxhIOC009OQ+Irwc8Hf9Y7KjwUvMx5ibqz6qL38t5QqjNBc3QyTRSoNWr0W/0Oas6wQ0KWDWiOTq7s8BgEGQAmwxQK5Ap54dUBsY8YAaf8IfEVY/7Foj4FW25vAZER3Esx9i6vRQH3vgMVh4Ik+TS4Bbth/PbxFuqFg4LohGjY+Njgn+P/6B0VJgpOPj4JsY8Y/x6fAJqjk2mjgGEuY9w2KZwDxXiQeonD+fmLgr0PVoHICELPhJqp5z8KkuXJqD2zNt5Y8YbeVU02wkGB9k20H2rOqKk3m4TO6OSi0EHBH0f/gNhHjOOPjoDm6GQ+hMcgyIL2TcU4Cq4+v1psQWHQae2s9kfpE8D2KRi8fjBeX/a6yecqfd8B+ihgGH+8v4nAM9QRKbkpHB7BfxRkFWShyZwm6LG0h5EXOWGhIDU3FXVn1cVbK9+CSqMCrdHJRaGHAnZOwebbTqA5Opk2CuIzasMtWIzhGwdyGAXOXxSoNLfQd1VfeM3wQmK2qUWTwkDBn0f/1L2JHjeoFxYKdt3bZQBNeqOT+RCegwAwhYL1N9cXYkDqK8UnOz9Bq4hWYLckPs8mEPuIsOjSIpPPVbLvgPEticVDFwXsVY0tt0vfvIivKJiwYwJcAl0QmxZrol4YKGAYBkM3DIVHiIfBREbhoeBy4mXY+tnqFkiVz+wD06GHggJVAbotaY9G4TZIz2sCmqOTaaPg9yOOEPuIERUfZaGe3yhge8GEnAkxUS8MFDxMfYhqQdXwweYPDKBZdVEgABAAxlDw97G/C0HQY2kP1J9dHz8e+FFXzyD0TE/Y+RFk5IcbfZ6SOwuCYGpLYsnQQUFKbgo8Qz11P4D+oDE6uSgVg4I11982sXrdMPxHAbvQK/JBpJF64aAgPS8djcMbo9uSbihQFeiOChMF3+77FrZ+tricuAs0RyfTRsHu+6t1b6LOoDk6mTYK4tKd4BrkjJGbRlq4WsNvFOQoctB2QVu0mNcCWQXGtsBXTRTwBgQRERFo3bo1WrRoYaIPQXEUDF43GERGIJKJ8Mku7XTD/Q/3A9B+kmsd0RpjtzWDqSmJxvsOmO5TUDLlj4Lx28fDLdgNSfIk3ZHyHZ1cMnRR8DA1CM6BBB/vbAGao5MrAgWXEs9B6is1WOhlGP6jgGEYjNg4AtWDqyM+I96gXlgo2HRrk252BLtF+dVnH5gPHRTEpsXCNcgVIze9B4ZpA5qjk2miIE/5Eh0XOaHZXBEy8w9zOD8/UcAwEozf3geOAY64/eK2mXoWBT3B7fWN/+ENCNiYb0xUhILaM10LrxB8uutT2PrZFo6bvfDsgq6Zz0EYG4hkvu9A5aBg9/3dIDKCNdfXGNQLEwUKtQJdFndB87leug6LdEYnVwQKMvOlaDrHCV2XdOGw5YjfKJh5dqZuNLipRVTCQMG9lHtwDnTG+O3jDT6JCgsFJYcW0RudrA0dFDAMg093fQoHfwfcSO4MmqOTaaNg3oUOIDKCjbd+4VCvgvbfqGpEYCAAAA2U6s+KLSjst7of3ln9TmHFN5HfoO6surrGJNo1BfoosNx3oGJRkJGfgdoza2Pw+sEmLrMJDwW/HPoFUl8pLideBq3RyUWhhwJtg5jecA0iiEvvD5qjk2mj4MyTtrDxsTGyDdcw/EYB2wa3dURryBVyI/XCQcGnuz41MrRIeChgO6pqP9DQG52sDT0UnHt6Ttc3oSm49ymoOhEgCIC7L28XYsBrRjU4Bjgi+HQwACBflY/qwdXxx9E/9B5RhAK5fAXHvgMVh4LPdn2GakHVkJCVYKZeOCg4FHsIREYw8+xMvaPCRMG8C/NAZATb7/4JmqOTaaPgZc5B1J0lwhsrXKBUc3nT5icKGKYVJu38HxwDHHHn5R0z9fxHwbIry0BkBKuuldxWLSQUXE68DDs/O3y992u9o8JDQbI8GXVm1dH1TchF6ZoXVY0IEgTb724vBEGfldr/e/W59oeava9Y1I+djRYFpes7QB8Fh2K1X/+SyyXXOZQM/1GQLE+G1wwvDFo7yEg7X2Gh4FLiJUh9pfh+//e6I3RGJxclCjRQoGE0GLh2IDxD3fAsyxk0RyfTRsHSK666XvLzOdTzFwVXnu+EnZ8dvtzzpZl6/qMgLS8NjcIbGSxQZSMcFKg0Kry96m2DLZ+l7Wgo/PAQBHt1IFhmssY7yrsQBAPW1IVnKIGGWQEAeHfdu+i1vJfRx2n7DmSVsu8APRRkFWShQZgr+q0mYJhADucH+IwCDaPGu+veRc0ZNQ1ax+pHGCjIyM8oXIlffN2A8FDge8IXIpkIR+KOgOboZG3ooeDq86uw87PFV3sdQXN0Mm0UpOc1R6NwG3Re3Ab5Kks/E/xFgYaJxnvr3oNHiAeeZJr6txIGCqYfng4bHxucfGz4nP8tFPAQBOk6EIgAGJ+G9/aqtwtB0DqiFT7a3hSACM+ywiD2EZv8tF2y7wCXT+X0UDB592Q4BzojPuMHlNdAJOOpGBTMOtcbREZwMOaghXp+o4BhGLy/6X1UD66OR+nGXuSFg4KjcUchkokgi9L/WREeCjLzM9F0TlN0XtwZ+aqboDk6mSYKNIwGQzf0h1uwGI/SvUBzdDJtFPiesINIJuLw+85vFLBXnIvf4tTPfwcFPAQBe8tgLLRvAiVRwM4wsPGxgUgmwurrKwFMRtBpAnt/qW61bvGU3FngA1NbEkum/FGw/+F+EBnB4suLdUe8IWQUXE78E1JfgmmHOnI8P39RMCd6NoiMYOe9nWbq+Y+CxOxE1JxREwPWDNAtsNWPcFDAAs01yBVx6XG6o3RGJxeFDgoCTgWAyAj2PVwLmqOTaaPgUOwOiGQEPifsQHN0Mm0U3E+RwiXQAaO3jLbQN+G/gQIegyAdwCQYokDDaCCSiUBkBA3DGoLICJ5nPwfDqNFynivGbycwNvvAeN+BklsSTaf8UJCel446s+pg4FrDVqveECIK5Ao5ms9tji6LG0Ch5t6ngI8ouPDMBlJfEX488L3lch6jQKXJxFsr30KdWXXwIueFiXphoGDG2Rl6I8z1IywUHI07CrGPWG+eB53RyUWhg4LHGY/hEeKB99YNgIbpAZqjk2miQK5IRZv5LmgVIUJ2wXYO56/6KOAxCLKgfdEvjoJH6Y8Kbxe0md8G7Ra0A6Ads0lkBEfi3oNhm2PzfQcqHgWTdk5CtaBqeJr51MhjvCE0FHyy6xM4BTjhYepD0BqdXBR6KEjPS0fDME90X0qgUI8CrdHJFYGC34/Uh42PDU4/OW2hnt8oOBF/AjY+NvjtyG8m6oWBgoSsBHiGehq5WiMsFGhbRXdDw7CGSMtLA83RydrQQQHDMBi7bSycA51x9+XboDc6WVjhOQgAQxREPogsBIFHiAemHZoGAPhq71eoN7se1BolDNscW+47UHEoYBsQrbi6wsxjvCEUFLAzJVZfX613VHgoKN7BbzFojk6mjYK9D0J0A1magOboZNooSMxuBa8Znui7qq9ukJSp8BsFCrUCPZf1RL3Z9fAyx9gaCeGg4JvIb3Stoi/rHRUeCuZEz9HNjNkCmqOThRYBgADQR8HPBwcXa0p0KPYQClQFcAt20+s9UNTRUC5fx7HvAH0UpOYSeM1wwZD1QzhMZfMG31EQlx4Hl0AXI93iAKGhYPY57bqB3fd3645w61NQFH6g4HHGY7gFu2HYht5gGCfQGp1MGwVK9XW8sUKKOrMkSJabax/Lhr8o+H7/J5D6SnE+4byZev6jYM31NWa2SAsHBWeenIHEV4KfDv6kd9SKAkAwIABYFHRepIWAvZ897PzskKfMw857O0FkxKDvtBYFwcG/laLvAF0UjN3WGm7BBInZ3hzqAT6jQKlWoPvS7mgc3tjE8A9AKCiIToiGxFdSeLWpKMJCgUL3PWkU3gjpeemgOTpZG3oo+OngT5D4SnD2qRtojk6mjYJNt7xAZATzLnD5neQvCm4kb4KDvwM+3fWpmQ8z/EdBkjwJtWfWxpsr3jQyir2sKOgO6ywDSjHfmEgN5wCJ7naBM/qv6Q8AGL1lNDou6liiWi7XlKHvAB0UbL2zVddQZRjKcyBSyVQMCn470g0SXwmiE6It1PMbBWl5aWgQ1gCvL3vdyAsEICQUTN0/FbZ+triUeEnvqPBQwI4AnxM9BzRHJ2tDDwV3X96FU4Ajxm1zBsPUB83RyTRRkJHfEc3mitFhYQvkKS3dsuIvCpTqg3hr5VuoNbMWnmc/N1FfFhSkc6gTRgQFAg2jKbxVYOtHEHx6LDLyM2DnZ2d0D2nJvgMldx+UTPmj4EXOC9QIraEbCaoBjdHJxUMXBQdivtGNan2TUz1fUcAw4zBsw1C4BbuZaawCCAEF7JtoxAVjP4PCQcHdl3fhHOiMcdvG6X0SFR4K5Ao5Wke0xmvzX4NccR80RyfTRIGG0WDYhndRPdgGsWmuoDk6mTYKph2SQOLLZaFtaVFQdSIoEMSmxRZbP3DxmQjLrnwBkUyk125Sm5I7C/6G4e4D0yk/FDAMg1GbR8EjxEOvex/35kVF8QYfUPAs6xlqhNbAe+teg4bh3qeAjyiYeVa7fXXvA8PtbMbCXxTcS7kG50BnjN021szlXP6joPibqOHQIuGgQH8F+70U9g2azujkotBBAdvlct/DzaA5Opk2Crbe0S5+DjsvBZ0piVUjggIBu6iFyAhcg1yh0kzA26sI+q1uU6K25M6CooWGFYmCDTc36K1mNawXFgpUGlXh3nbtamk6o5OLQg8F556eg8TXBr8eFoHm6GTaKJArHPDafCe0jmhlYvKffviLAoZJxZitYwzeRA0jDBSEnw8HkRFsvr3ZoF5YKNj/cD9EMhF8TvjojpSueRFfUMBedRqzdTQYZiDojU4WfngIgkgdCNaU+LORG0eCyAikvlIM3zgcTzPjIZIRrLxWvM2x6b4DFYuC59nP4Rbshg+3fmimXjgo+Pf4vxD7iA36fQsPBam5qag/uz56Le8FpXoDaI1O1oYeChiGwbht78A5kOBeSk/QHJ1MGwXh5+uCyAi23tlqoZ7fKDj1+BQkvhL8fPBnE/XCQEFcehzcgt0wdMNQgyFlwkJBdkG2wVUneqOTq0J4CII0HQjEALYV+7PaM2uDyAjEPmKEnQ9DyJkQ2PvbI6ugeJtj830HKgYFDEMwbENb1JxREym5KRbq+Y8Ctie+30k/I/XCQYGG0WDI+iFwD3HXawzFvXmRNvxAATuaefPtf0FzdDJtFJx5sgoSX4KfD3qC5uhk2ihIzG4Arxme6LOyj4W+CfxGQa4yFx0XdUTTOU2RkZ9hpF4YKGAYBh9s/gAugS64n3Jfr96KAlPhIQjYWwajoX2RLkKBjcym8JbBjeQbaLegHcZsHQP9PgVy+RYOfQfoo2DZlQG6dqvmxpvqn5+/KEiWJ8Frhhf6re5npCc+G2GgIPBUoK6X/D6DemGh4NzTc5D6SvHjgR91R6IgRBSwM+jfXNEZSrU7aI5OpokChfohei23Q51ZNkiWX7ZYz1cUMIwHJu0cDgd/B9xIvmGmnv8oCD4dbGYmiRUFxsJjEKQBGAcWBQWqgkIMuAe741rSNRAZwZ77bFMILQq49x2gh4LYtFg4BTjhs11tUJ4DkUrGG7RRoGEI+q9pBK8ZXkiSJ1mo5zcKjj86DrGPGH8d+8tEvTBQ8DLnJerOqovey3sbbJWMgpBQwM6gL9oGVv5TEouHHgqm7p8Kqa8U557WAs3RybRRMP+i9tbN+pvBHOr5i4LDsTMt/K4DVhSUDI9BkAXti7IWBRefBReC4H9b/ofph6fDI8Sj2Kx6uVwNV7fMUvQdKH8UqDVq9F7eG43DGyO7IAu0RicXxRs0URBw6j2IZARH4saB5uhk2ihIzP4QNWfUxDur3zFzlQPgOwrUGjX6re6HmjNq4lnWMyP1URAKCozPoBceCtbeWAsiI5h/cT5ojk7Whh4K2KtO3++vAdqjk2miID6jJzxCCAat7W7hdx2woqB4eA4CgEXBtINF2w3nX5yPurPqYkrklGKPLdl3oOTo5JIpXxQEnQ6CSCbS2+ta+o6GfEHBqcenIPYR4+9j/VHeA5GKhy4KlOpVeGMFQZ1ZjniRY6ohiX74i4K/jv0GsY8Yxx8dN1MfBb6jYMfdHWZm0AsHBdeTrsPB3wGTdk7S2/IpPBQkyZNQZ1YdvLHiDSjVSaA5OpkmCvKUeei8uCMah9sjLc8RNEcnV0UUCAAEAKBCq3nOhSBgtx+efXq2sKLkzoLfYDg62XTKBwVXn1+F1FeK34/8bqReWChIyU1B3Vl18dbKt3QLpMp/SmLx0EPBL4d+gcTXBmeeiEBzdDJtFOy5LwWREQSfNraw0zBR4CsKHqZeRrWgahi1eZSZvgn8R0F6XjqazGmCjos6GungJxwUKNVKIx38yndKYsmUPwoYhsHHOz+Gvb89riWdA83RyVUVBQIBAWDnZ6ddPxBC8HXkQDQIa1DsxaTkzoLiUxIt59VQkK/Kx2vzX0OHhR2K3cYoXi8MFLAr8T1CPAwuSwsPBewn0dnnZoPm6GRt6KEgLj0OrkFOGLFRDIZ5DzRHJ9NEQY6iOtoucEDLec3NzMBgw18UaJgEDFk/BG7BbniUbuoNXBgo+PHAj5D4SnDmyRmDemGhYMHFBSAygrU31uqO0BmdXBQWBV1gnWVAKaZAwF4dGL2lPmrOIPjl0PDCPzPdd6DiUPDTwf6w87PDrRfmfnGEgYIZZ2eAyAj2P9xvpF44KIhJizHySVR4KMhT5ultA9sBmqOTaaKAYRhM2DEYjgEEt1+0Bc3RybRR4HPCHSKZyMTviH74jQK2cdq8C/NM1AsDBWefnoXUV4qp+6ca1FcECsxtKxdWBAGCtNy0QhD8euhnXdvioj4F5vsO0EfB0bjhuk+h/+NUz2cUnE84D4mvBNMPTzdTz38U5Cnz0GFhBzSfa+yTqLBQ8Nmuz+Dg74DrSdd1R0rf0ZAPKJh/cT6IjGDDzQDQHJ1MGwX7Hy6HSEbgc8IdtEcn00TBzWR3OAY4YMKOCRbGsfMbBewEQ+36B2O/b7RRUHXCGxBERESgdevWaNGiRQkQRFyIKATBuG3j0Di8MRhmLAAbyOU7OfQdoIeCjPwM1JtdD31X1dX19i99R0Nu9fRRkJ5H0DDM1czkP/3wGwXsm6jpvdTCQMGyK8tAZASrr682qBcWCqITog0+wb367APzoYOCuPQ4VA+ujqEb+kLD1APN0ck0UZCR/xDN5tqiw0IJcpVc3rT5iQKl2hlvrOiA2jNrW9gWbUUBl/AGBGyMXSHovqQ7iIzAwd8BHiEe+O3Ib2B3HwQH/86x7wAdFHy0/SO4BrniSeZj0BqdXFRPDwUMw2D4xlaoHkzwOONHjufnJwqWX30LREaw6pqlKzz8RsGV51dg52eHr/Z+ZaJeGCh4mfMS9WbXQ89lPQ3W1wgLBbnKXHRY2EGvg1/5DUQyHjoo0E4wHIbqwa6ITWsOmqOTaaPg+/11IPUlOPd0MYd6KwoshYcg2KcDwcbCY04BTiAygs6LOoPICK48vwIAkMtVpew7UL4o2Hx7M4iMYN2NdbojlvsUFA9/UBB6JlQ3+W8iynMgUsnQRcG1JBns/Qm+2NMKNEcn00ZBWt57aBTeEF2XdEW+ytybPb9RoNKo0G91P3iGeiIhK8FIvTBQwDAMJu6YaOSqk/BQ4HfSTzfBcB9ojk7Whh4K2P4PCy42Be3Ryf8VFPAQBKk6EEgA7AZQtKCw17JeaDqnaeH9ruJrB9bBcPaB8ZQPCp5lPSscXFT8/pvwUHDy8UnY+NjobZekMzq5KHRQkJGfgaZzmqLTogbIVxHQHJ1MEwUaZi+GrBfBPUSK+IwHHM7PXxT8duQnDn0T+I8Cdv1DEf71IxwUHIg5AJFMBFmU/u+28FBwLekaHPwd8MmuT8Aw2aA5Ovm/hAIegoC9ZTAcgBQqzY5iI4//OPoHAGM7C6bBcPaB6bwaCtQaNfqu6ou6s+oiNTfVSL1wUJAsT0btmbWNDGQRFgoYhsHITSPhGuSKuPQ40BydrA09FPif9IdIJsKBGAlojk6mjYJtdxx0zYcCONTzFwXnnkaaWMGuH/6j4FH6IxMTDAEhoSAtLw2Nwhuh8+LOev0f6IxOLsp/AwU8BkEqgFHYdltUCAIiI4UrrUvuLChqc0wbBUGnR0MkE1n41MN/FKg1aryz+h14zfDSa0iiH+GggN0qufv+br2jwkPB4djDEMlE8I7yBs3RydpEgRYK7ry8A+dAR3y4VQKG6Qmao5NpoiBJXhN1ZknQe3l3E/1F9MNfFOQqb1iYYAgIAQVqjRqD1g6CR4gHHmc8Nqi3ouBVw2MQZAFQ4q0VHiAyAscAO7SY1wIMw5jpO0AfBReeDYfEl+CPo0M51PMbBX8f+xtiHzGi4qPM1PMfBacen4KNj41usalhhIOCJ5lPUCO0BgatHaTXg114KMjMz0SLeS3QdkFbyBVRoDk6mSYKtB38uqHWTDGeZzcDzdHJNFHAMC0xaacDHPztLUwwBPiOgr+O/QWxjxiHYw+bqLei4FXCcxAULSh08Cf4/cgoAJb6DtBDQXZBNprOaYruSz2hVBPQGp1cESjY/1B7xSXgFJfLufxFQbJuD7L5GfT8R0G+Kh9dl3RFw7CGRm5DCQcFGkaDERtHwDXIFQ9T2fvXdEYnF4UOCn4++DMkvhKcfrIeNEcn00bB/IuBugmGbqA5Opk2Cnbec9S17rY0idGKgrKG9yDQv11wPsEGcnkkh74DdFAwaeckOAc6IzbtIWiNTi6qp4eCJ5lP4B7igMHrCTQMFxAAfESBUk3w1so6Bj3YTYW/KGAYBT7b9Rns/e0Ld9CUjDBQ4H/SX7dbZa9BvbBQsOnWJhAZwZzoOboj9EYna0MHBUUTDD8H7dHJNFFwP+UyXAJtMGqzBAxzgcP5rSgoS3gNAoZhCjFQa6YXNMwHCA7+g2PfgfJFwfqb6wsHK2lTvlMSjdeXPwoUagV6LO2BBmENkJr7K8pzIFLJ0EXBTwf7QeJLcObJKI7n5ycKFl/uwrFvAr9RwK5g165/MBZhoOD2i9twCnDC+O3jDXYQCQsFxScYKkFzdLI2dFCQXZCN1hGt0SqiBbILuoHm6OSyoaATrLMMKEUfBKfiTxWC4Ms9X0IuV5ay70D5oOBR+iNUC6pm5AVCeCj4fv/3kPpKceEZq2xvCBEFG29tBJERzI0eg/IeiFQ8dFFwPiEEUl+CKZFNQXt0Mk0UxKV3h1uwGwavH2xkBbt++I2CzPxMNJ/bHO0WtEOOwtgaCWGgwPgEQ0BoKGAYBqM2j4JLoAvup9wHzdHJ2pQFBVx+DiovW7Zs4VzLaxD0X92/EAT7Hu4zWDuwHmyfAvN5NRSoNCq8vux1NA5vjMz8TCP1wkHBlttbTAwy8YaQUHDrxS04Bjjio+0f6YBGb3SyNnRQkCxPRt1ZddFzWUso1DagOTqZJgpylUfRYaEYTefYIz3PWPMhw/ATBRqmLUZsfBeuQa6ISYsxU89/FEzdPxVSX6mRCYaAkFAQciYEREaw895OvaN8QwF/c/bsWQwZMoRzPa9B4BLgAiIjsPOzQ0pGvsHagakApKCNgn+Ovw8bHxuce2ruB4n/KHiQ+gAugS5GGimx8YYQUMB+gmu/sD1ylbl69cJCgVKtRJ+VfeA1wwuJ2YmgOTpZGzooYBgGH23/CI4B9riR7ACao5Npo8DvpHYB8577ay2X8xgFq65pt+AuvLTQTD3/UXAk7gjEPmL8dewvI/XCQYHpdUH0M2XKFGzYwGUHnTa8BgF7dWDkppFGdhYoAYwCTRQcezQAIhmB30kuUwz5i4JcZTDaLWiHlvNaIrvA3IuvN/iMAg2jwfCNw1E9uDpi02KN1AsHBT8d/AkSXwlOPT6ld1R4KJgbPVc3wXADaI5O1oYeCiIfREIkE8HnhBNoj06miYLLifVg50fw+W5T8NcPf1HwOCMSHiEeBltwDcN/FKTkpqBBWIMyPfZVo1Kp0KhRI+Tm5lou1oWHINivA8G2QhAsPb/RxM4CeihIkifBa4YX+q2uBbVGBFqjk2mjgGF+w8c7CRz8pbj1gssvpTf4igL/k34gMoLIB5Fm6vmPAnYG/dzouUbqhYOCU49PQeIrwU8Hf9I7KjwUPEx9CNcgVwzfOBwa5hZojk6miYKXOS9Rf3YddF9qh3xVfdAcnUwTBXnKzui82AaNw+siLc/S1R3+ooCd41EjtEapHlde2bt3LyZMmFCqx/AQBCkghOBcTFGHwn/9cs3sLCh/FLAd/GrNrIVkeSJojU7Whi4KFuh6sK+9Ubo+BXxDwcEYApGMwDvqXw71/EXBjeQrcPC3NIOe/yhIzE6E1wwv9FnZx8iobOGgILsgG6/Nfw0t57XUWyNEZ3RyUcofBUq1Em+vehs1Z9REQtZF0BydTBMFDMPgk13jYO8vwrWkaqA5Opk2Cn459AtsfGwsdLSll7Fjx+LAgQOlegwPQaC9ZTBgibZDocO/7hz6DpQvCnxO+BgMZHm12QeWQwcF7B7k7/Z9C5qjk7Whh4L4jHi4hzjq+ib8bLFeG/6hID1PjKZznNGhxPoHY+EvChTqTPRc1hN1Z9VFstzUGyD/UcAwDD7Y/AFcAl1wL8XwhUVYKPjxwI8Gt6DojE4uCh0UzLswT/cBZhFoj06miQK2j8Xsc1xfb8s3crkcjRo1gkrFZftzUXgLAqd/tAt8Onw0nWPfgfJBwbFHx3T3En0M6oWFAnYPcu/lvXU92EvXvEgbb1Q2CvKUeei0qBOazGmC9LwQlOdApJKhhwINo8Hg9Z3gFkwQlz4cNEcn00bBN5H1YOtni+iEaAv1/EZB4KlAIyvY9SMMFLBjgCMuGL4OCAsFJx+fhMRXgh8P/Kg7UrrmRXxBwY3kG3AMcDSyTb10uX79OiZMmIDevXtj7969SE9Pxw8//ICvv/4aI0eOxLVr10w+dvXq1Zg6dWqJ46dPn8bEiRPx+uuvIzIyEhqNBhEREfjuu+/w1Vdf8RcE5HcC8ocTnF3TS9F34NVQULRuoJ+JhSzCQIHpPcjCQoH28uEncPB3KBxqRWt0clHooMA7yls3wfBP0BydTBsFK65OB5ERLL7cCrRHJ9NEwYGYphDJRPjn+D8W6vmNgqvPr8Le3143BtjYz7cwUPA08yk8Qz3x9qq3DVqQCwsF6XnpaDKnCTos7MDhKqD5fPrpp1CpVPDz84OnpydGjRqFZ8+e4fjx45BKpfjuu+9MPnbgwIGIji4Odo1Gg4kTJ4JhGEybNg2enp747rvvcPx40S0NfoOg/3SDvgNc7oeUDQVqjRj9VreD1wwvM5dBASGggL18ePrJaRP1wkDBwksLdZcPDbeBCQsFex/sBZER+J/01x0pXfMivqDgcuJl2PnZYfLuIaA9OpkmCmLTIlE9WIQh66tBw6RwOD8/UZCS2xANw+qh65KuyFeZwxy/UZCnzEPXJV3RIKwBXuYY+/cVBgrUGjXeW/ce3ILddCPYy57Y2Fj89Zd2u+U333wDGxsbXLmi3b64detWuLm54dChQ0Yfm5ycjJYtW5Y4Hh0djdmzta/548aNAyGkxBoD/oLgZ0cQhxS9qwNfA7ADLRT4nGgHkYzg2CNvDvX8RcGGm5+YWcGuX89vFJxPOK9b/2BKwcJAAbuCfcTGEQYd/ISFAnb7VLcl3XRvPlEQIgrkCjnaLmiL5nMbICPfDTRHJ9NEgUoTi3dW28MzVIynmec5nJ+fKGAYD3y8c7iFOR6AEFDATmI8FGv8jbo0OXv2LK5e1f4927Vrhz59+nB+bHh4OP79t+Ti65MnTyI+Ph4AUK9ePQwaNKhEDX9B8PYPBmsHFACGgQYKDsUegkgmgiyqLWiOTqaNgpvJE+EYQPDR9m4c7l3xFwXJ8u9Rd1Zd9Frey8IMen6jgH3zaTGvhYkul8JAAbt9yjPUE08zn+rVR0FIKGAYBh9u/RDOgc648/IOaI5O1oYeCqYdmgYbHxtExXuB5uhk2iiYG11HdxUwkEM9X1HQATvuarfJB53m+trILSkpKRCJRPD29ub8mG7duuH+/fsm/zwmJgaEEMycObPYcZVKxWMQ2D8ysnag/FGgXcHujvfWvQe1pgC0RidrQw8FGfkZaDqnKTos9ESuknufAr6hQKkOQZ+VBLVmOiEx+xmHR/ATBQzzMcZs/RBOAU66Nx9T4T8Kph+ebrDrRj9REAoK2Da42+9u1zsqPBSwfSzCz4eD9uhkmig4EX8CNj42+PFADdAenUwTBXdfnoBzoDNGbxn9SosIjWXLli0ghCAqKopT/YMHD9C1a1ezNYsXLwYhBJcvXy52/Ny5czwGAckysbOg/FDArmBvHN5YrwEGndHJRSl/FGgYDYZuGKrr4BcDmqOTtfEGLRRM3T8VEl8xTj8pXZ8CvqFg5lltH42tdzZzqOcvCjbeWg0iI5h5dqaZ+ijwHQWHYg9B7CPGn0f/NFIvHBRcT7pupI+F8FDwJPMJPEM90XdVX6g0yaA5OpkmCrIKstByXku8Nv81C11gy5ZvvvkGdnZ2yM/nsgsI+PfffxEWFma2ZuzYsahevTo0muKvZYGBgfwDQWJiEQhM7yx4dRQwDINJOycZrGBnIywU+JzwgUgmwv6H+/XqhYeCFVdX6PVgL9+BSCVDDwXaHuwiTD9MQHt0Mk0UXEuyhYO/GB9tH8vhk08U+IqCuPRrcAt2w7vr3jXTBpf/KEjNTUWj8EbotKiTkRXswkFBnjIPXRZ3MVhE+OqzD8yn/FGgYTQYsXEEqgVVw4PUBxzOWfq0atWqVOsHWrZsiaSkJLM1tWrVwvDhw0scHzBgAP9A8O302EIQmO878GoomF/Ywc/UIBNhoGDfw30m+iYICwXRCdGw9bPFF3u+0HvzER4K4tLj4B7iruvBvgY0RyfTREFKbgoahnmh82IR8pSDQHN0Mk0U5Ciqo/1CBzSZ0wjpeekW6vmLApXmCfqv6Q+PEA88znhsop7/KGA/iBlfRCgsFPie8AWREex9sJfDuUqfpKQkEEI4rx84f/48BgwYYLbm7t27IIQU7jZgo1Qq4eTkBAmp4AAgcrm88H8rFAqiUCgIIYTk5hKyYF6e7k8yyM8/EZKdbe5sKwghEwkhIwghGwghAyw8+2JCiIpcePY++WGXiHzV+SsyvNFwkm3ySSIIISpCyIeEkFW65zGXcEKIkhDyESEkjxDyPwv1M3T1nxBC8gkh4y3UB+rqvySE5JO49DfJ+A3jycB6A8n3Hb838vfwJoQoCCHf6c7/pYXz/66r/5kQUkAI+dZC/c+6+j909T9bqP9OVyfT/d8/CCGEvMh5QUauGUk6VO9AAnoH6P18fKGr+1v3PP8QQkRmzj+JaP+e03X1/hbqx+rqfyTaf9dQC/WjdPXf6urDCCHiwj/NUeaQYWuGEVfiShYPWExyc9wIIYsIIV/p6iMIITZmzj+IELKcEPIZ0f7cLSKEmPsV7UsIWUO0vwMfEkKWEUKkZurfIISsJ9qfs/cJIasJIbYlqtSMmnyw6QOSI1eTfaMWE1X+VKLKH04IWUcIsTdz/s6EkC1E+3M/mBCyiRDiYKa+HSFkOyHkA6L9u28lhDiZqW9FCNlJCBlJCOlPCNlBCHExWQ00JZP3dCGxz4+Ro5MciI1KTrJV5v79GxFC9hBChhLtv+1uQoi7mfp6hJC9hJAhhJC3df9/DTP1tQghkUT7b/MWIWQfIaSmmXrPwq/n3+MdyLF7WWT32N3ETexm4jXLTe/r6aN7rvpmzl+NFP192a+nkZl6J6L9NxmqO/8+QkhTM/X2hJBdhJBhuvPvJ4suHydrLqwhS4YtIc2cmhn8PaR69ez5XzNzfhtCyDai/Vnup/vaOpipJ0T7M/Y+0f787CKEdLFQv4kQMpoQMpBof/a6E0IIORR7iPx78F/y+xu/k7dqvWXmPaQoLi4uRCQy9/pSPC9evCBeXl7kww8/5FS/fv168tFHH5mtSUtLI3Xq1CEffPBBseOZmZnEycmJiACA81dYDsnOziaurq4V+ZTWWGONNdZYU6nJysoi1apVo3JutVpNmjVrRm7dukVcXEwj2VIq/AqBi4sLycrKKvzf+lcICCHk+fMk0qNHd3L8+GjSpcteov3E8baFsyoJIROJQnGQ2NltI6auFOSr8smQDUNIojyRnPy4HanlEkWmTatJZs26Z+H8aqL9lLeDsFcKunXrRi5dumSiXkMImUII2UwIWUoI+R/Jzs4m9evXJwkJCUZ+KBhCyA9E+2lvIdG/UmDseRhoyLhtHcnZhKfk+Md/kBYev5f4Coo/DoSQPwkhC4j2qoTxKwVFjwEhxIdoPwEHElNXCor/neYTQoKJ9qqEpSsFhCxY0IRMmZJGfjrYiay9eZsc+OgA6Va3m5lHzCPaKwXTiOUrBYRorwZNJ+vWuZEJE+I51K8k2isFX5Ls7L9J/foNTHyv2Kwj2n+XTwghYWTWuTDie9KXrPtgHRnWcpiR+s1E+zM0jhheKTD+s7STaK8UjCLGrhSUfMw+or1SMIwYu1JQ8ufvMNH+nA0g+lcKNt7aSL6O/JqEDgglX3X9Su+5Qoj2ispbxPKVAkK++qoNWbw4jRDSg1i+UkAIIdEkN/dd4uTUi1i+UkAIIZcJISOJWt2CNGhwhdy/X/x7dSL+BBm5eST5occPxKevDyHkOtFe4WtKCNlBunUbYOb3lxBCbhPtJ+H6hL1SYP53/j7RfjKvSQyvFBh/XCzRXilwJYZXCvS/VwkFCaTfmn5kSPM+ZNnwm0QksieE7CeE1Db6VRQ911Pd1yMmlq4UaB+zS/f3VRLLVwoIeffdTuTgQRtCSA6xfKWAkISs6+StVX1JC1eGbP7gKKlezdzvOiGEpBPtz/JzMmaMC9m8+aaF+gyi/eT/mBCym3TrNtnC9zdbV/+Q6F8pMP09ziGEjCZZBTfJO6vdiEjkQI5/fJwQBTHzul48r/JGbSmHDx8mPXr0ePXnKNPNDYpJSEgAIQQJCbEA3oV2tfNRDo9U4NgxZ5haU8AwDMZuGwsHfwdcTrwMdk2BUklQljbHrVu3tlBffE0Bu3siKyvLRL3xNQXGnufvY39DJBNh38MhMLXQsOTjLK8pKP4Yy2sKSv6dvMF1TUHr1q2x+PII7XjrK8Ms1gNASEhNVMSaAoXiSwvfKzbaNQWRD96FSCZCjdGWxpwab15k+mfJ9JoC448xvabA+M9f8TUFlxIvwc7PDp/u+rTYIsKi5+Le5lj7mCiUZk3B+PENUdo1BQxTDWfOEGRlFW1Rjc+Ih0eIBwauHWiwiLBooWH37i04nL/4mgLLv/PG1xSYfpzxNQXs9yr+RbxBG1zLWxKLPxe3NQVFj+G+pkD7GG5rCvKUeei8uDMazK6Lk5cINJqaKE3zorQ0G5R2TcEHHzTmUF9yTYG577GGycKwDe6oFkTwIHWT9gwWX9crJuPHj8fu3Vzex8yHxyBIgPZFhzsKFiwIh6mFhn4n/UBkBFtub9E7qkRMTEeUZfbB/v2fc6gvQkFu7nIOPzglURARUfzNe8vtLSAyguDTwTC3+8DwcdqYR0HJx5hHgfFfBm9wQcHPYT9D6ivFlMge4LolUfv1lW6h4cmT/0NZUDB3LkFWlrFmQsVzPyUA1YIIhm1ogLnzwjmcvyQKjH+v2BhHgenHGEeB6RcuLQqS5YNQb3Y9dF/avUQb3OLPxQ0FRY+JAlcUaB9TuoWGcvlxZGYSqFQ9AGQjV5mLjos6Gmwl1o8WBcnJDVHagUhLl4ZwqC+JAvPf35IoyMrKAhER9FvZD+4h7niUrv/mbB4FJZ/LMgqKP4YbCooeYx4FDMNg4o6JcPB3wKmYU/D0JFCrX0NpmhelpNRFaRca5uc7oiwLDc19r/49/q/ug1gbsAsN+QCCnJwcNGjQAEoll4XF5sNzEAClRYGx3Qdb72wFkRH4nvA1Ul+22Qel3X3AMGKMHcvlB8f07oNrSdfgGOCIsdv0t4GVvc3xq+4+MP3L4A1zKHiW9Qy1ZtbCGyve0HUipDc6WZvSXSnIywsHe6XAXH1WQRZaRbRCq4jayCogoDk6+VV3H5h74VKod+GNFSJ4zbDDsywuq825XynQJgq0dh9kZWWhWzcChqkGhumJj7Z/aGIrsX5efXSy+bza7oOsrCyQfgRiHzEOxx42Ul++o5NLpvx2H4SfDweREay/ub7wZzA7OxY0RicXpfx3H2y/ux1ERhB4KhD6uw9yco5UOgjWrl2Lr7/+ulzOxTsQvHz5EoQQvHyp/4tUdhRcTpwLB38HgzdRw9BHgVr9ETQaEZTK1RzqS6LgZc5LNAxriM6LOxvZg1w5KCgoKIC3tzcKCgqMPMYbxlCQr8pH96XdUXdWXYMhUvxBQUFBAfbsGQpzWxI1jAbDNw5HtaBquJ9yHzRHJ2vzaigw972aEjkFUl8JzjyRgPbo5PJGAfv3UihOI/y8HYiMYMPN5RzOz18UbLyuHeoVcCLATD3/UXD80XHY+Njg54M/AzB8vSjf0cklU34ouPXiFpwCnAw6EWpRwDAuWLr0MxOvgRWTyZMn49w5Ll0VLYd3IDD9Sab0KIjP6IdaMwm6LWmBPKWlF6GKuVJQlj4FSvUyvLXyLdScURNPMk39MlfelQLT8YY+ChiGwWe7PoOdnx0uPjMmcf6gQBvTfQrYy4eRDyL1jvIbBcay7Moy3TjjxaA9OpnmlYJjj47BxscG0w7ZgvboZJoouJlcA04BIvxvyzAOzaD4i4LHGVGoEVoD/Vb3MxhnrB/+oyA9Lx1N5zRFuwXtIFfIDerZKwXtwe33nf8REAiA0qAgNTcVLee1QNM5jkiW24Lm6GTaKPgmkkDqa2NinLF++I2CiAsRIDKC1dfNXSXhPwp23N2h/QR3ytgnOOGg4HzCedj62eKrvV/pHRUeCh6lP4J7iDsGrBkAleYsaI5OpomC1NxUNA6vh/YLJchRtATN0ck0UZCnbIHOi6VoGFYXKbmWxkvzFwVqzXkMWjvIwjhjOYCnJv5MeBEYCAAuKMhV5qLnsp7wDPVETNod0JqSqA1dFCy6tABERrDkMgHt0ck0UXAinkDiK8YPB37gUM9fFNx+cYvDIBP+o+B59nPUnlkbvZf3NjJRUjgokCvkaLegHZrOaaq3iJDO6OSilD8K2ImSHiEeiM84Bpqjk2migGEYTNgxCg7+IlxL8gTN0cm0UfDbETuIfcQ4EneEw2OqRgQIAsAcClQaFYZvHA7HAEdceHZBd5Te6GTds4IGCk49PgWJrwRTIr8B7dHJNFHwKP0RPEIc0HcVgVLtz+H8AB9RkJ5H0Gyuq4nLh4bhLwoKVHL0XNYTdWbVQZLcVN9z/qNAw2gwavMoOAc64/aL2wb1wkLBTwd/go2Pjd5ESXqjk7Whg4Kw82G6dRzzQXt0Mk0UbLy1HERGMOucPbi1Oa4aESgIAGMoUGvUGL99PGx8bLDv4T6D+opHQWBgILp27QpnZ2d4enpixIgRenOqzaMgLj0ONUJroM/KPlCqlaA5OrmovmwoOHJkMAgh+OGHH0pUZRdko+2CtmgypwlSc38FzdHJr4qCZ8+e4aOPPoK7uzscHBzQoUOHwhGhao0ag9a+Brdggrj0iRzPX/koUKlU+Ouvv9CoUSOMHi2FQkEwanV12PrZ6oHZVPiBgpMnT2Lo0KEYPtwD2dkEKSltAOQU9pLfcXcHvL29Ubt2bdjb26NPnz64ffs2+I4C9u/l+pYriIxg8pLJhZVKpRKhoZPx4oUEd++K0K5dTUycOBGJiebe7CsXBewiwiZfN0Ht2rVRqxZBdnZdmELBl19q+30UTefjBwquJV2Dg78DPtr+IRimBwBXXLmyCEOHDkXt2rVBCMHOnTtLPO7u3bsYNmwYqlWrBmdnZ/To0QNPnnD5d+VPBAwCQB8Fas0hTNgxATY+Nga9BvRTsSgYNGgQVq5cidu3b+P69esYMmQIGjRogJwc9rKncRRk5mfitfmvoemcpgb34PiHgufPPwZAEBpauwQI2GlgLoEuep/gvMFHFOTnf4uGDRvgk08+wYULFxAfH4+jR48iNjYWAPDbkd90lw9/BO3RyeWJAn9/f3h4eCAyMhLx8fH4ZdMA7fapA/VBe3RyeaFg//79+Ouvv7B9+3b06kWgVNpj1702IDICnxM+CA4OhouLC7Zv345bt25hzJgxqF27NrKzs8FnFBw9uhGf/P0JpD5SkBEEO3bsKKzKzMxE//79sW9fGFQqT+TmNsJ773VGly5dLJy/clDwOOMxaoTWQMfZHfHHX39g+/btIIRg//7lMHalYOfOnejQoQPq1KljMK63clGgHeql3c2lXYiuvX2gVDphwYJPC/9ehiCIjY2Fu7s7fv31V1y9ehVxcXGIjIzEixcvOHxN/InAQQAA+VBrBmHiDjFsfMTYfNvS/PnKu33Abqk8efKk3tHiKFBpVBi4diCqB1fHvRRjvxD8QYFcLkfz5s3w6NFYAAQ7drxZ7M//PPqnkZX4AF9RsGFDXaP1m25t0l0+nKU7Qm90sjblh4IhQ4bgs88+A1B0C6qnXy2oVCLQHJ1M6/YBIQSr9v8A50CCDzbXgFqThVq1aiE4OLiwpqCgAK6urli0aJHuCD9R8Dy7FerMqoXXl70OYmP8U6c22tsHeXmNUbMm4fCps2JRkKvMRadFndAovBFSc1MLq4reOItvSXz27Bnq1q2L27dvo2HDhgYgACoLBSqNCn1X9YVnqKfBbq7iuw+MgWDMmDGYMGECh+fmdwQPArVGjUk7P4LYh2DTLSnK2rzIfMoHBTExMSCE4NYtwx9atnmRCFMiB0DiK8HROHN/D36gYNKkSfjxxx8BMFi3rj701xRsuLkBREYQcsZUdzdv8AkFfn5eAAh2724OT88a6NixI5YsWYLLiZdh72+Pj7Z/ZLCIUBgoCAoKQsOGDXHy2knUnFETXeZ1gWctT5w8+TNojU7Whg4KiANBrcBaaLugCeQKJ+Tl9YCjI8HVq8U/7Q0fPhyTJk3SO8IvFBSorqHnMglqz5QgMfumycvQRXmAggJ33LlDkJ0dw+HrqRgUMEx9jNs2DA7+DriWdK1YRfG/kxYFDFMXEyb0QHh4OACYAAFQGSj48cCPkPhKcPLxSSP1RSjo2rX490qj0cDZ2Rm+vr4YOHAgPD090b17dwvfT35G0CBQa9T4ZNcnEPuIseHmKrxqR0PzeTUUMAyDYcOG4Y033jBRr8bc6G66HQWTTdTop3JRsHHjRrRt2xb5+doX+z593sKRI10BEFx89iPs/e0xccdEC3upvcEXFNjZ2eGHHyQACJKTJ2LRooWw87CDm58bui3pZqKPBf9RwDAMpv0+DeRLAvITAXEiCAwM1NVb7lNQPJWLApVGBTKRwNnPWbcN7AzUagdERRE8f178TfKLL77AwIEDDc7ADxQwDIPPd38OWz8pohPcALRDjRrmQZCfn4/332+D9HQH8GmhYcgZDxAZwebb80r8aUnkPEdKiidevrQDwzwAYA4EQEWiYPV17XqUiAvmropqUZCRQRAVFVp4NCkpCYQQODo6Yvbs2bh27RqCgoIgEolw4sQJDl8HfyJYEGgYDT7d9SnEPmKsv7led/TV2xybT9lRsGTJIDRs2FCvJXPx7Hu4D2IfMX4++BrK0ryoIlHw9OlT1KxZE9evXy881qdPH/zww/dIzP4WtWcS9FjaoERPfOPxBh9QIJVK0bNnTxSuKVD9AK+/vCD9XYrEbHMvpvxGwYYNG+AwwQF2PnbYfGoz1qxZA3d3d6xaxf68CAcF0w5NA/mXwGeNT+GxmzcXIjuboKCgJ/S3JE6ePBmDBg0ycv7KRwHbj2PF1RVgbx/cuEGwb5/x32GlUokRI0agU6dOkMuvgC+7D/Y93AeRTIQ/j7rB2EJDQxBcvnwZ7drVgFLZDOztA/MgACoCBReftYadH8Fnu0ZwaAaVhXPnCJRKR7C7DxITE0EIwbhx44pVDhs2DGPHjuXwNfAnggSBhtHg892fQ+wjxtobaw3+lH8ouHSpOVQqguTk+UYrbibfhEugC4ZtGAa1RoGydjSsKBTs3LkThBDY2NgU/kcIAZESkC8I6s5yxvPssjUv4pbyR0GDBg3w+efagVUMMxcTdxDY+YpRo4MHh/PzFwXVh1YrMdTLz88PLVu21KvnPwrW3lgLIiMgPYq/ycTFxaFXLwK12hH6WxJL3jLQT+Wh4ET8CUh8Jfh+//d6R+8gOZkgM7MhDLckKpVKjBw5Eu3bt0dqKnt/vvK3JN5PuQ/XIFcM3TAUGuYJjC00NARBWFgYRCIR6tYV4+5dgoQEgmbNCMRiMRo2bGjm66GHgmR5MurOqo0eS52Qr3IDly2JLi4EaWktwK4pUCgUkEgk8PPzK1Y3ffp09OrVi8PXy58IDgQaRoPJuydDJBNhzfU1Js7CDxQwDINvv/0W9evXRnb2UBhbaJgsT0bDsIbosLCD3t72src5rggUZGdn49atW8X+69K1CxpNawR7P3tcTryEV21zbDnli4Jx48YV3s4JPROqG8hCsH59baP1JcM/FOy5L4ZIRjB4xrvF/iQwMBDNmzc3qOcvCi4lnoadnx0+2fVJiTcZhmFQq1YtrFv3Ddg+BQpFusGiQmOpeBSwK/HfWf2ObitxUVq3JsjPd4V+nwIWA23atDGY7QJUJgoy8zPRcl5LtIpohcz8TN3RkrsPDL9Xqampha8X9+4dR35+Yzx/LkZo6Bd627FNpfxRoFAr8MaKN1BrZi0kZt8B1z4FhBDs3bse+gsNe/bsWWJR4ciRI0tcNeB7BAUCDaPBF3u+gEgmstD+FuADCr755hu4urrixIkTSEpKQF7e+2AYGxQUaN/k85R5eH3Z66g1sxaeZhq2v+Q3CgzTeGJjEBnBplub9OqFg4KLFy9CIpFgot9EiGQiDJ8zHD/9JEV5zT4wHnoouP3iNpwD7TFyI8G27fbYt2834uPjsWPHDtSoUQPTp0838ij+oSBJ7oC6s+zQds5riL4cDUJI4X1adrV9cHCw7vcsAGq1I+7cqYkmTbx02w7NpeJQkKtMQMdFHdEovFHhVmK5XI5r167h2rVr2t0Tq6ZDqXSHQtEKKtVzDB8+HPXq1cP169eRlJRU+J9Cwf5bVzwK1Bo1hqwfAtcgVzxIfWBQnwCNpikUilq4cyfS6PeqeJ4jJkaC7GxXVEbzom8iv4HUV4pzT9nBQKa3JBp+r2bPno0bN06joKATgHbYsWMbpFIplixZgpiYGMybNw82NjY4fdpSu3l+RTAg0DAafLX3K4hkIqy6xuUND6hsFBBCiv1nY0Owfj2BRiOGhtmCMVvHwMHfwcSgH0AoKNhzfw+IN0H337obqRcOCuZvmQ/xX2KIx4vRslVLLFmyBOU5EMl4yh8FqbmpaDKnCdotaIeXmYuhVouwc6cjnJzs0KRJE/z11196byqG4Q8KClQF6LW8DWrPJNgYSWBvX/z36eOPPwagvUrg7e2NWrVq4e23pcjNtUFOTldYGoikDX0UMIw7xmytDscAR9xIvlH4J1FRUSVeI1q3JsjMtIdC0RI1apASf04IQVRUlN75KxYFfxz9A2IfMQ7EGH99PHduCx4+JHj8mKBRo5LfK8N07VoXaWk1UdEdDZdcXgIiI1h6ZalBvXEUGPteEULw1VfjAMQDAJYvX45mzZrB3t4eHTp0wK5duzh8ffyKIEDAMAy+3vs1RDKRbiFOaVL5VwqKR7vQ8JdDIohkImy/u91CPb9RcEvX2//9Te9Dwxh7QxMGClJzU9F0TlO0XdAW2QWGbwzCQYFSrUTfVX1RI7QG4jPidUctdzQsnspHAcMwmLx7Mmz9bHE+YT5oTUnUhi4Kgk//ACIj2HqnEWiPTqaJgk23aoLICELPhFqof/XRyebzaig4+/QspL5SfBP5jYl6bh0Nq2J4DwKGYfBN5DcgMoLlV7nMOTcWfqFgTvRsEBnBnGgRaI9OpomCZDlBwzB3tF/Y3kJvf36jQKlW4J3V78AjxAOP0k29gAkDBd/t+w4SXwlOxBtudxIWCuZfnK+3Eh+gOTpZGzooYFfi/3XsC9AenUwTBVefR8LBX4SPtjuDYR5zOD8/UfAsyw21ZtbAGyveMDLUSz//TRTwGgQMw+Dbfd+auLRT2vADBdvvbodIJsK0Qz+hIkYn00JBnjIXPZbWQq2ZBE8z/SzW8xkF3+3rYuJN1DD8RsHiy4tBZASLLplaTCcMFETFR0HiKzEyGTMKQkLBg9QHcA1yxbANw3RXz8p3IFLJ0EHBi5wXaBDWAF0Wt0OesgFojk6miYJ81TN0X+qIerPFSJZHcTj/fw8FvAVBZmYmpu6fqmvUw+VTK5dULgrOPDkDe397fLj1Q90LBN3RybRQoGE0eusfxqEsA5H4goLFl0fr3kTfBe3RyTRRcPLxu5D4SvDtvm8t1PMbBfEZ8YUr8VUaY19fFISAgsz8TLSKaIVWEa2QVaC/HkpYKFCoFXhzxZvwmuGFhKwE0BydrA0dFDAMg093fQo7PztcSmwOeqOThR3eguCrbV+ByAgWX15czs9QOSi4n3If7iHueGvlWwYNe4SHgn+O/wMiI7r1D+Z3Hxg/Pz9QwO4J/3ZfL5Rl9gFfUPA4Ixw1Qgn6rqoFpZrL6n1+oiBHMRAdFrZH4/DGxXril0wU+IwCDaPB0A1DTazEB4SEAnYl/pknZ/SOCg8F8y7MA5ER3e608h2IVJXCOxBkZmZqV3D+TrDw0kJKz1KxKEiWJ6NxeGO0jmiN9Lx0I/XCQQHbICbodJBBvbBQ8Cj9ETxCPNB3VV/dnvCyDUSqbBTIFXK0X9gejcM9kZorQnmOTi4euihgmEP4cKsYTgE2uJl8icP5o8BXFPx1bBpEMpHJlfja8B8Fiy4tMnOFVjgoOPboGGx8bPDjgR/1jlpRYCy8AUFERARat26Ner3rgRCCWcdnWX7QK6ViUCBXSNBlcVPUnlkbjzPMLcbhPwpOPzkNWz9bfLrrUyMtPoWDguyCbLRd0BZN5zQ1+CQqLBRoGA0+2PwBnAOdcevFLZT36OSSoYcC/5P+IDKCbXekoDElURv6KNhy2wlERhB82ptDPX9RcOrxDg63oPiPgrj0OLiHuGPAmgFGbkFZUWAY3oCATenHH79K6KJAoc7Be+u84BxIcC0pjMP5+YuC2DR/1AitgT4r+5hZnct/FKg1agzfOBwugS648/KOkXrhoMA7yhsimQi77+uvVxEeCnbc3QEiI5BFyUBzdLI29FBwPek6HAPsMXabFAzTDTRHJ9NEwZPM2vAMtUGflT1LdFQsGf6iILvgciH80/JM/dtaUaCf/zgIAFoo0DAajNs2DlJfKY7EvYFXHZ1sOvRRkJH/OVpFEDSfW9PCvV1tPZ9R8OvhXyH2ESPyQaSZev6jYOudrSAygoBTAUbqhYOC60nX4RTghNFbRuv1sRAeCtiV+J0Xd0au8gxojk6miYJcZS46L26DhmE2eJnTGDRHJ9NEgYZpg5Gb7OAS6GQC/vqxooCNFQQAyhsFDMNgSuQUiH3E2HpnK151dLLl0EOBUq1Ev9X94BZshwepZWtexK2ePgqWXSEgMoLw8+Ec6vmLgmtJV+AY4Iix28aamc7GfxSwb6KdFnVCjsLwjVk4KGB74nvN8NJrQU5ndHJRyh8FDMNg3LZxcAxwxLWkPaA9OpkmCv45/jNEMoI996uD9ujkqoQCKwgKU34oYFfhF1+MIzwUMAyDL/d8CYmvBMcfHUN5zj4wXk8PBdq97WJ8vZeAYbw5np9/KHiRQ9AgzBldFndBrjLXQj1/UVCgykbv5b0N3kQNw38UMAyDz3d/ruuoeN6gXlgoCDkTYjAZ89VnH5gPHRRsub0FREYQeOpP0B6drEVBW3DbIsz/WEFQLK+OgvDz4bpFRcFG6oWFgplnZxp0iOTWp6Ao/EDBw9SHcAt2Q/81/aFU+6I8pySWDD0UFKgK8MaK5vCaQZCQNR60RyfTQgHDSPHprgYm3kQNw28UsL/vpoetCQMFRR0V/zKoFxYKriVdM7h6Vv5TEosnA0AMhzphxAqCEik7CtZc/wVERvDr4V/N1AsDBayyfz/yu0G9sFCQlpeGFvNaoFVEK2TkZ+iOlu/o5JIpfxQwDIOPd34MOz87nHv6J2iPTqaJgtnnJuveRDuB9uhkmig4FPsaxD5i/HLoFwv1/EbB/ZT7Bh0VDSMMFLzMeYmGYQ116zj0r57RRkHViRUERlN6FOy53w02PgSf7x5k5r4uG36j4MyTM7Dzs8P47ePNDCziPwrYQT8eIR6ITYs1qBcWCtjLueturNMd4danoCj8QMH+h/sh9hFj+uFRoD06mSYKHqRuRfVggvfWVYdak8Hh/PxEQWZ+C7Sc1wytI1obdFQ0DL9RoFAr8NbKt1BzRk0Tt6CsKOASKwhMhjsKDsYchJ2fHT7YXAsqjS1oTkmkjYIHqQTuIU7os7IPClQFZur5jQJ2Wp7UV4qTj0+aqBcGCnbe2wmRTIS/j/1tUC8sFNxLuYdqQdUwdMNQqDVq0BydrE0UaKAgIz9Dd9WpETLzXUBzdDJNFKg1dzFkvR2qB4vxMPUch/PzFwVf7R1rpKOiYawosBQrCMzGMgpYDAzdMBQFqmxUxOhkWih4kZOEJnNc0DqCID1vPofz8xcFs84NBpERrLy20kI9v1HA3hMtvi1PP8JAQVpeGprNbYY289sYfBIVFgpUGhUGrR0Et2A3PEx9CNqjk2mi4Pcjv0PsI8bBGHfQHp1MEwULLnqByAiWXTG2BdcwVhSYixUEFmMaBYdiD8HOzw5D1g/R+zRNd3QyLRTkKnPRfWl3eM3wQnzGGNAenUwTBXvuj4VIRvD7kT6c6vmKgiT5p6g3ux6HHQX8RgG7ddUjxANx6XFG6oWDgp8P/gwbHxsciTuid1R4KFh3Yx2IjGDm2ZmgPTqZJgrYeSRT97uB9ujk/wIKrCDglJIoOBx7GPb+9gYYYCMsFKg1aozYOAKOAY64nHgZtEcn00QB2+jm/U2toGHK1ryIW+iiIE85D92XEtSZ5YRnWQkczs9fFHy3bwokvhJExUeZqec/ClZeWwkiI5gbPddIvXBQEJ0QDTs/O3yy6xO99U7CQwE7j+Sd1e9AqX4CmqOT/ysosIKAc4pQcDg2BPb+9hi8frCZ++zCQAHDMPhu33dGuvcJDwXPs5+j/uz66Ly4s67RjTdojk6mhQKGYTB221g4+EtxObFszYv4goJFl8S68dJcbkHxFwVnnx6FrZ8tvtjzhZlFw/xHwbOsZ6g9szZ6Lutp5LVLOCiQK+Rot6Admsxpotc9lc7o5KJUfRRYQVCq5ONIXFfY+xMMXt/dYIyxsfAfBbPOzdK9YC8yUi8cFOQp89BtSTfUmVUHz7Ke6f2JN4SGAp8TPiAyoutySXd0Mk0UaJtB2eC7fSLQHp1MEwVPMh1Rc4YUb67oZWaOBxv+oiBX+Rhdl3RF/dn1kSw39YbPfxSUHOqlHysKXiVWEJQiR+KOwN7fHu+tq4F8lR0qYnSy5ZQdBVtuf2+i14B++I8CDaPBh1s/hGOAI648v2LkMd4QCgo2394MIiPwO+mnd1R4KGCnzPVf0x8qzXbQHJ1MEwU5ihx0XNQcDcNEeJnTE7RHJ9NCAcN4Yuw2VzgGOOLq86sW6vmNAlmUDERGsOveLhP1VhSUNVYQcMzRuKOw97fHu+veRb4qAxUxOpkmCs48eRd2fgTjtvUysXpdP/xGwR9H/4BIJsL2u9vNPMYbfEfBxWcXYe9vj/Hbxxu5LC0cFGQVZOG1+a+h2dxmelPmSte8iA8o0DAajN4yGk4BTriRvAq0RyfTRIH/ye91V50agPboZJoo2H63hhEwG4sVBWWJFQQccuzRMTj4O+gwwL7Y0B2dTBMFd1/ehXuIO95a6YUClQi0RyfTRMGSy9qBRbPOzeLwGG/wFQUJWU9Re2ZtvL7sdTO3oviPArVGjaEbhsI1yBX3UgxfWIWFAvaT6I67O3RHyn9KYvHQQcHOezt146W/Be3RyTRRcCP5MBwDRPjfFkcwjLHdKoapKBS0hXWWAaXwDQQsBgatHWTkhVp4KHia+RT1Z9dH2wVtkZ6XAtqjk2mi4GDMAdj4iDAlkoBhuIAA4CMKchQEnRbVtHBvlw2/UTD98HSIfcQ4EGPq51sYKNh2Z5uJT6LCQsGN5BsG46XpjU7Whg4KUnJT0Ci8ETouaoMcRRPQHJ1cehRwqRNGrCAwE/MYYCMcFKTlpeG1+a+hQVgDvYV3r9bm2HLooOBG8g24BLpgyPohUGmmg/boZFoo0DAavL+pPZwCCG4kT7JYrw0/UbD6+usgMoLZ5yx9H/iNArYZ1JitY0zsKBAGCl7kvEDDsIbouKijwXhpYaFAqVbi7VVvwzPUE48zHoP26OTSo6DqxAoCEzn+6Dgc/B0wcO1ADrsJ+I+CXGUuei3vBY8QDyOXcoWFgsTsRNSbXQ+dFnWCXCEH7dHJ2tBBAbv+Yff9L0FrSqI2dFFw5okvbP0IPtvVBAzD5U2enyhIlr+J+rPrGRmQYxh+o0ChVuDNFW/Ca4YXnmQa++QtHBRMiZwCqa8Upx6f0jtqRQGNWEFgJFHxUXDwd8CANQOQp+SyNQngMwpUms0YumEoHAMcEZ0QbaJeGCjILshGx0UdUW92PSRmJxrUCwsFq6+vBpERhJ4J1R2hNzpZGzooiEuPQ43QGuiz8jUo1GLQHJ1MEwUFqkPovVwMrxm2eJrJ5U2DnyhgmI6YvHsibP1sce6puRkF/EfBokuLQGQEiy8vNlJvRUF5xwoCg0TFR8ExwLGUGGDDPxQwzFh8uksEia+Nmfu6bPiNApVGhcHrB8Ml0AU3k2+aqBcGCk4/OQ1bP1t8uutTg8vSwkJBZn5m4Y4CbYOYsnc0rEwUMAyDz3Z9Bls/Kc4n2IH26GSaKJgT7QgiI1h1jcviXP6i4OTjLZD4SjAlcoqZev6jICYtpkyPq4xYQaCXE/En4BjgiP5r+pcBA2z4hYI/jv4GIiNYc12EihidbDllQwHDEHwT+SZsfGxwKPaQhXp+oyAmLQYeIR54a+VbJhrdCAMF7KCf6sHVDW5DCQ8FM87OAJERrL6+GrRHJ9NEwaHYQxD7iPHLIXvQHp1MEwWPM+qhRqgYb696HUq1pZ8J/qIgMz8TrSNal+oxlRkrCHTRx4D5e4dcwg8UhJ8P1w0wCUVFjE6miYKZZ98CkREsvTKe4/n5iYK0vJ/QYl4LtJjXQm+PvrHwHwXf7fsONj42OBpn7GdcOCjYc38PRDIR/jj6h97RKAgNBQ9SH6B6cHUMXj8Yas1V0BydTBMFcoUc7Re2QqNwCVJyG4L26GRaKFBr1Biyfghcg1w51fMhVhAAOPn4JBwDHNFvdb9ywACbykXBxlsbQWQEvxz6RXeE7uhkmijYdmeb7gW7GypidDItFBSogvHWSgKPEAfEpHF5EeIvCuZdmGPm3i4b/qPgRvINOAc64/1N7xtp0BUFoaAgPS8dLea1QOuI1sjMz9QdLf8picVT/ijQMBqM3DRS15b4EGiPTqaJAnYL7sGYgxzOzY/850Fw6vEpOAU44Z3V75QjBthUDgoOxhyE1FeKiTsmGrzICQ8F5xPOw97fHmO2joGGUYP26GRaKGAYBhN3TIStnw1OPylb8yK+oOBAjAhiHxF+OvgDh3r+oiBZ/hgNwhoY2ZannyjwHQUqjQoD1w6EW7CbkfvVwkLBn0f/hEgmwt4He3VHSte8iC8oWHtjbSkapvEn/2kQ0MUAm4pFweknp+Hg74DB6webuPcmHBTEpcfBM9QTvZf31tv6WbaOhpWNAt8TviAygg03N4D26GSaKLj94jaqBTlgyHoCtWYSaI9OpoWCfJUdei6rjlozayHB4njpKPAZBT8e+NHMrRtAKChYd2Odwa4bNsJCwYVnF4yMlxZGeAOCiIgItG7dGi1atKgQELAY6LuqL0UMsKkYFFx5LkG1IEf0WdnHwqJI/qPgZc5LNJ/bHM3mNkNKboqReuGgYP3N9SAyAt8TvnpHhYeClzkv0Si8EdotaIfsgqWgPTqZFgoYhsFH29+BvT/BhWe9QHt0Mk0ULL/aGERGEHHB0u8Bv1EQnRANOz87TNo5ycSbqDBQYH68NP/DGxCwqYgrBKefnK5ADLChi4K7L2+gRqgtui0RIbtgI4fz8xcFucp56LG0B2rOqInYtFgz9fxHAbu90PgLnXBQkK/KR6/lvVBzRk1dtziA5uhkbeigwP+kP4iMYNOtP0F7dDJNFJx+sgxSX4Kv9nqCYdI5nJ+fKEjIaoRaM2tyeBPlKwq0swzYEez1ZtdDkjyJw+P5l/8cCM48OQPnQGe8veptM/cNaYUOCuIz4lF3Vl20XdAGqblDURGjk2mhQKX5GsM2EDgF2OFS4iWL9XxGAbu9sM/KPia2FwJCQAHDMJiwYwLs/OxwPuG8Qb2wUMDOKJBFsWgrW0fDykbB44zH8Az1xNurukCprg6ao5NpoiBHcROdF0tRf7YEyfLrHM7PRxTcAsMwGL99PBz8HUyMYBdG/lMgqFwMsClfFDzPfo6mc5qi6ZymeJ79HBUxOpkWChiGwRd7JsPGR4QDMWVrXsStnj4KUnMJms9157C9EOA7CgJOBYDICDbeMnXlSRgouJx4GQ7+DkZmFAgLBdptee3ROLyx7nYa3dHJtFDAjpd2DHDAtSQv0B6dTA8FQPDpYN1Vp02c6vma/wwIzj49C+dAZ/RZ2acSMcCmfFCQmpuKNvPboO6suojPiNerFyYK2IV3K6+tQEWMTqaFggJVAd5a2QgeIQSxad9zPD8/UbD1Tn+DT9Smwm8UJGYnos6sOui+tLuJ9TXCQIGG0WDExhG6bXm39OqFhwLvKG+98dLlN/vAeOihgO1j8fexvzmcl9/5T4CAxcBbK9/iAQbYvBoKsguy0X1pd9QIrWFkWBEgNBSsuLoCREbgf9Jfd6T0zYv4gIKi7YW2OPOEHVhUuuZFfEHBxWf/wMGfYNy2pmAYLm/y/ERBrnIIuizujHqz6+muopkK/1HA7m2PfBBppF44KNh8e7PB7zsgRBTcfnEbzoHOGLlppJE+FsJLlQfBuafn4BLowjMMsCkbCnIUtuizsh1cg1xx9flVM/XCQMH+h/th42ODr/Z+ZXApV3go8Dnho7e9EKA5OlkbOih4mvkUtWbWwuvLmiJfRUB7dDItFGiYvRi9RQTHABtcfX6Bw/n5i4KV1xZyGC/NfxSwt27GbRtnZKGtcFCQmpuKJnOaoN2Cdrqpq8JPlQYBi4E3V7zJ429Y6VCQo0hH31UecA4kOPNkJofz8xsFlxIvwTHAEcM3DodKY+wNQTgoYPdR+530M6gXFgrkCjk6LuqIBmENkCxPBu3RyTRR8M/xf0BkBDvvSUB7dDJNFJx67Aiprwhf7OGyt52/KHiefQN1Z9VFtyXdzGyN5j8KlGol+q7qixqhNfAoncs5hJEqC4LzCecFgAE23FCQq8xF31V94RzojNNPeqEiRifTREFsGkHNGdXw+rLXLWz/5D8KTj0+BVs/W3y882MTL9jCQIFao8bwjcPhHOiMG8k39OqFhwK2/0PQ6SDQHp1MEwVx6XHwCHHF26tsoFS/Dpqjk2miIE9ZC92W2KPurNoGo8uNhd8o+Hbft5D4SnAi/gSHxwonVRIELAbeWPGGADDAxjwKWAw4BTjh9JPTqIjRyTRR8DInGc3mVkOLeQQpufM4nJ+/KLif8jPcQ9zx9qq3zWwvBISAgmmHpkEkE5m4Ry0cFJxPOG+k0Y3wUMBOy2s2txnS8g6D9uhkWihgGAbjtg2Fgz/B5cRGoD06mSYKFl2qDiIjWHRpEYfHCCtVDgTRCdGoFlRNYBhgYxwFJTHARpgoyFHkoPvS7vCa4YVH6WNAe3QyTRQky6ehcThB64iaSM/j0hyGvyhYcHE+iIxgTvQcM/X8R8GTzCfwmuGF3st7G2l0IxwU6I+Xvp9yX3eU3uhkbeiggN26uvl2GGiPTqaJghPx2yHxJZgS6QSuWxKFlCoFAhYDvZf3RnYBl18WPqY4CnKVuXhn9TtGMMBGWChQaVQYumEonAOddQ086I9OpoWCHEUOui3phloznfE4o3R9CviGgv0PCcQ+Ikzd/x2Hev6iQK5IR/uF7dEovBFe5ph6gxIGCr7f/z1sfGxwJO6IQb2wULDj7g4QGYF3lLfuCL3RydrQQUFsWiw8QjzQd1VvKNUtUZo+BUJJlQHBhWcXqgAG2GhRkKu0wzurO8EpwAmnHp8yUy8MFDAMg092fQKJrwSHYg/p1QsPBSqNCsM2DINTgJMONt6gOTqZJgquJ12Hc6Adhm0gUGumcDw//1Cg1thg+MY6cAl0Mdijbyz8RsHCS9odBQsuLjBRLwwUXE+6DqcAJ4zeMtpgW56wUFD81k0aytK8SAipEiC48OwCXINc0Wt5ryqAAW1ylWnot9oDTgEEpx6HcXgE/1Hwy6FfIJKJ9Lbk6Uc4KGAYBt9EfgMbHxsciNH/t/aG0FDwLOsZ6s6qi06LOkGumAPao5NpouCXQyMh9iGIfPAGaI9OpomCI3HtYeNjg6n7p1qo5zcKkuXJqD+7Pjov7mxi0bAwUKDWqPHeuvfgGuRq0POFRUE7cPv5538ED4KLzy4WYiCrgP7I5IpIrjIX/Vb3g1OAE04+7o6KGp1sOWVHQciZcSAygnkXzC0gFAYKQs6EgMgIll5ZauQx3hAKCuQKOTot6oR6s+vprfqmNzpZGzooWHx5MYiMIPz856A9OpkmCu6nbED1YIJBa92g0mRyOD8/UVCgaoNey7txGC/NfxT8dPAn2PjY4HDsYSP1SQCucTivMCJoELAY6LmsZ5XCQP81/XUYOImKGp1MEwXLrvQEkRH8e/wDDvX8RsGGmxtAZMRCm1Jv8B0Fao0aQ9YPMbK9EBAaCo7EHYGNjw2+3fetbkdB6ZoX8QUFaXlpaD63OVpHNEJmvhNoj06mhQKGuY1JO+1h5ydCdAKX1yD+omDplSAOH2SqTgQLgkuJl6ocBvKUeei/pj8cAxx1GGAjXBTsuLsDYh8xpkS2BMOIQHt0Mk0UnIgnsPWzMTOzXT/e4CsKGEaD7/Z9Z+SWh36EgYI7L+/ANcgV7617z6CxlbBQwDa68Qjx0I38pjs6mSYKQs+EgsgI1t2oBtqjk2miICq+DiS+BN9EfsTh971qRJAguJx4GdWDq+P1Za//BzDARngoiIqPgp2fHcZsHQO1RgHao5NpouDOy9uoHmyH/msIFOpQDucH+IqC8PN9Oe6j5jcKXuS8QKPwRmi3oJ2J1wFhoEA75fMLSH2lBouHhYeCvQ/2QiQT4Y+jf4D26GSaKIhNi4V7SHX0W+0Apbo+uPUpEH4EBwIWAz2W9kBmPpd7bPyPPgbMd74SDgquPL8Cl0AXDFgzQK9ZD73RydrQQcHz7OdoENYA7Ra0Q2b+j6A9OpkmCnbd+wIiGcEvh7pyqucrCvKUH+L1ZT3gNcMLTzLNvbjzHwVh58N0Uz5XGqkXDgpuvbgF50BnjNg4Qm9HgfBQUHxHwU2UrnmRsCMoEFRVDAxYM4ADBtjwHwUPUx/CM9QT3Zd2N9IcSlgoyC7IRqdFnVB3Vl3d4qiydzSsbBRcTrwMxwBHfLC5AzRM6foU8AkFGmYTxmwVwcHfBhefneNwfv6iYN9D7S21Xw//aqae/yh4kfMCDcMaov3C9kZ+54WDApVGhXfXvQvXIFe9ZlCl7Wgo3AgGBFeeX4FbsFuVxUBUfFQpHslfFCRmL0Gj8EZoFdEKKbkpJuqFgQKlWol3172LakHVDBbeCQ8FTzKfoNbMWui+tLtuCxjd0ck0UfD3sb9BZATb74pBe3QyTRTcemEPl0AbDN84BGqNJQjxFwX5qkT0XNbTwtUaYaDgxwM/mthR8N9AgSBAwGKg+9LuVgwUhn8oSM8bhbYLCOrN9rBwGRfgOwoYhsHk3ZMh8ZXgaJyxf1/hoCAzPxNtF7RFw7CGuumFbISHglXXVoHICELOhID26GSaKNCuf6iFDgtFkCveBu3RybRQwDDu+Gi7G+z97RGdEG2hnt8oWHJ5CYiMIOKCqduHVR8FvAfB1edX4Rbshm5LuiEjP6Nyv7hySp4yDwPXDoSDv0MZMcCGPyjIUeSg57LX4RFii7svxaiI0cmWU3YU+J4YAiIjWH19tYV6fqNAqVZiwJoBcA1yxZ2Xd4zUCwcFJ+JPQOorxeTdk/VWfQsPBQWqAvRe3lv3iXoTaI9OpokCv5Pf6mYUNALt0ck0URAVXxsSXwm+ifzGQn3VRgGvQWDFAJdUPgryVfnot7ofnAOdceHZWVTE6GSaKFh6pT+IjMD/5FCO5+cnChjmD3yxx9xVDjb8R8GD1AdwC3ZDv9X9oFQbvpELBwUMw2DSzkmw87PD+YTzuqNRECIKNt/eDCIj8D0xBbRHJ9NEQWzaSbiHiHU7CmI5nL/qooC3IDj98DTcQ9yrFAbyVfkYtHYQHPwdcPzR8fI8MyoLBUq1EsM2DIO9v73eoki6o5NpomD3/d0Q+4jx7b4OYJjS9SngGwpCzhAQGcHyq8s41PMXBam5L9BsbjO0imhl5rVAGCjwP+kPIiNG2ndHQUgouPDsAuz97TF++3jd1ZryHYhUMnRQwO4oaD63MdLz6oPe6GRhhLcgcPNxQ9clXa0Y4P4MqGgUqDVqjN02FlJfqZEGN8JDwdmnZ2Hvb49Rm0dBrVGB9uhkmihgP739ebT0fQr4hIIClQhvrvBCjdAaiEuPs1DPbxRsurUJREbgc8LHRH0UhICCp5lPUWtmLfRc1hP5Kv0rIMJCQcnx0tz7FGjDosA6y4BazsWcAyEEHcM7cpwvz//oY+DYo2M0nwkVhQKG2YXJuydD7CPGtjum3vCFg4K7L+/CLdgNb618S+9FrmwdDSsbBacen4Ktny3Gbx8PDRMK2qOTaaGAYRhM3PEG7PwIzj4dDNqjk2mi4NzTnrDzs8OEHRMsdL2LAp9RIFfI0WFhByMLVNkIBwU/HPjByHjp0qLgGYCLHOqEEd6AICIiAq1bt0aTdk1ACMHj5MeV/SWVSyoOA4XPCNooYJgP8OMBMYdFd4AQUJCQlYD6s+uj3YJ2Rq5ICQsFLGzeXvU2ClQFuqP0RidrQwcFfif9dJfXp4D26GSaKHiUvhqeoQRvrHBDgYrLLqko8BEFak03DN/4HpwDnXEz+aaZev6jwPyOgtKioOqENyBgU5bxx3xNviof7657Fw7+DhYWdZX7M4MmCv45/ieIjGD+RTEqanSy+ZQdBel5YWi7oC0ahDXAs6xnZur5j4Ln2c/RMKwh2sxvYwQ2wkIBO0TK94Sv7gjd0cm0UJCRn4HWEa3RdE4dpOTagfboZJoo+PWwnW689CYO9fxFQVT8Vkh8JZgSOcVM/X8TBVYQUAqLAXt/+wrGQOFXABooYAeXhJwJREWNTqaFgnzVl3hzBYF7iJPBnHPj9XxGgVwhR+fFnVFnVh0zPSCEgYKzT8/Czs8OE3dMNLi8LiwUKNVK9F/TH27Bbrp71K/e5th86KFg2ZVluvHSDqA9OpkmCmLSaul2FLxhZLeKYf57KLCCgELyVfl4b917lYiBwq8E5YmCBRcXGIz+ffU2x+ZDDwVqjRofbP4ADv4SnHtatuZF3Orpo0ClIXhvXTO4BLrgWtI1C/X8RkFcehw8Qz3x5oo39W556EcYKGAHFkl8JQbbi4WHgqj4KEh8Jfhq71dgmMugOTqZJgoy8zPRKqIpWsyTID2vCehMSRR2rCAo5/AHA2zKBwVrrq8BkRH8cOAHg09twkMBwzD4eu/XsPGxwd4He1ARo5NpoUDbUbErJL4Eh2Mncjw/P1GQljcJLea1QPO5zZGam2qmnv8omHl2JoiMYMXVFUbqhYOCh6kP4R7ibtD/gd7oZG3KHwX6OwoepB4B3dHJwo0VBOWYfFU+Bq8fDHt/e4OVq5WdV0PB+pvrIfYR4/Pdn5tYIS0sFPie8AWRESy7wu7PL3tHw8pGAbvwbuW1UaiI0cm0UJCvWow3VxDUCLVHTNoDDufnLwp23tuiNwLYVPiPgvS8dLSY1wIt57U0suNLWCgouaOg/AYiVaVYQVBOKVAV8BQDbMqGgvU3JRD7iPHJrk/0RpoaizBQsPTKUl0XQn+DeuGhgO3rX7Twju7oZFoo0DAajN02Fvb+Ut3tG7qjk2mi4HKiBA7+NvjfllEWfl8APqNAqU7DO6vfgXuIO2LSYkzUCwMFiy8v1i2Cnm9Qb0WBYawgKIfoY6DklCw+pXQo2HBzDcQ+BJ/sEkOtieRwfn6joKgL4bcmrnQIBwWHYw9D4isx6OsPCBEFvx/5HSKZSNfPouwdDSsbBU8zn6L2THf0WCpCnnIoaI9OpoUChnHBl3u8IPWVchjJzm8UHH903MKOAisK9GMFwStGOBhgww0FG29thNhHjI93ToRaMxQVMTqZJgqi4gns/CQYvWW0hVGz/EfB9aTrcAl0wbvr3jWxUlo4KGA/vc06N0vvqPBQkF2QjfYL2+sa9qwD7dHJNFEQdv5H3fqHpqA9OpkmCh6kNoFbcHX0X9Pfwo4CKwrYWEHwCilQFWDI+iGw97fHodhDlf3llCLmUbDp1iaIfcSYtHOS7s2T/uhkmii4nHgRLoFSDFhDUKBayuH8/EXB08zfUGdWHXRa1AnZBeZerPmPgv0P98PGx8bEFRvhoEClUWHw+sGoFlQNt1/c1h2lNzpZmyjQQEHkg0iIZCJMPzwRtEcn00RBam40ms21QesIW2Tkc1mTYkUBYAVBmcNiwM7PTmAYYGMcBZtubYKNjw0m7pho8ElamCi4n3IfNUJroPvS7pArPkZFjE6mhYKM/N/QdgFBw7DqeJ79nMMj+IuCa0lX4RzojGEbhpm5YiMMFEzdPxU2PjZGXgeEhYKbyTfhHOiMERtH6NY/0B2dTAsFCrUCfVb2gUdIdcSle4L26GSgA6yzDChFCCAoUBVg6IahAsYAm+Io2Hx7swkMsBEWCp5mPkX92fXx2vzXdNvY6I9OpoUChVqBvqv6wi3YHndflq15EbfQR8HTTII6s5zQZXEX5CgsXcLmNwrmRs8FkREsurTIRL0wUJAsT0aDsAbouKgj5Aq5Xr2wUMAwDD7d9Sls/Wxx+slp0B6drEXBOQ51wogVBKVM1cEAGy0KttyWwsZHjAk7Jli4xy4MFKTkpqBVRCs0DGto0JJYeCjQMBp8tP0j2PrZ4tTjU6iI0cm0UJCZn4l2C+qiYRhBkvxTjufnJwr2PXwDYh8xfj74s4V6fqMgX5WP15e9jtozayMhK8FIvXBQEHw6GERGsPbGWr2jtFFQdWIFQSlSoCrAsA3DYOdnh4MxByv7yym3bLm9DjY+IkzYIYZawwU5/EZBdkE2ui7pipozauJh6kMj9cJCwfTD00FkBJtu6feQ94bQUKBUKzFgzQC4Brnizktv0B6dTBMF15PC4BxIMHxjHag1XN60+YkCDfMWxmwdBXt/e1x8dtFMPf9RsP3udoNOqvqxooBLrCDgmKqKga13tsLGxwYfbR8LtWYQKmJ0Mk0U5KtEeGd1G1QLqoarz6+aqRcGCsLOh+l6yIcbeYw3hIIC9lKu1FeK44+O647SG52sDR0UPM9+jnqz66HToibIUdiA9uhkmij465gUIhnBtjvrONTzFwWXEg/Dwd8BH2790Ez/BysKLMUKAg5RqBWFGDgQw+XNTxjZdmcbbHxsMH77eN1tAvqjk2miQKUpwPubGsDen+DU4385nJ/fKNh4ayOIjGD64elmHuMNIaCA7ai45voag3phoSBHkYMui7ug7qy6ultRpW9exBcUrLi6AkRGEHrGFrRHJ9NEQUKWB2rPlKD70s7IU1qCkBUF5mIFgYVUdQyM2zYOKo3+C58wUcAwDD7b9ZluPsE7qIjRyTRRcDSOQOqrXeBpueOdN/iMgrU31hp0VDSMMFCg1qgxbMMwOAc6GwyREh4K2IY9X+z5AgxzGrRHJ9NCgVwhR8dFrdAgTIwkeSvQHp1c1VFgBYGZVFUMbL+7HRJfCcZuG2uAATbCQgHDMPjl0C96i4noTUnUPSNoouDq8ytwCbTFoLUESvUMDucH+IqC44/+B6mvFJ/u+tREd0g2/EYBwzD4bt93sPGxwf6H+43UCwcF91LuoXpwdQxYM0CvYQ+90cnalD8K1Bo1hm8cDudAZ9xI3gHao5P/CyiwgsBEFGoFhm8cDls/2yqFgR13d1jAABvhoCDodBCIjGBO9By9o8JEQVx6HLxmeKHrkq6QK34G7dHJNFFw5+WfcA0i6L+mAZRqLm96/EXB7HMzQGQEiy8vNlPPfxS8zHmJxuGN8dr815CZn2lQLywUTDs0DWIfMSIfsG3V6Y1O1qbqo8AKAiPRx4DxTwPCDHcMsOE/CtjWt/8eN7ZmQFgoeJHzAs3mNkOzuc3wIucFaI9O1oYOCpLkSWgY1hDtFtRBZv6rdTQ0H/oo2H5XDJGM4Lcjv3Ko5y8K8lXp6LW8F2rOqIn4jHgT9cJAwZLLS0wstrWi4FViBYFBFGoFRmwcUeUwsPPeTkh8JRizdQxHDLDhLwrW3fgeIpkI3+37zszlaGGgQK6Qo9uSbvCa4YW49DiDemGhIEeRg65LuqL2zNp4mvkUtEcn00RBdEI07P2lGLNVBA0zDrRHJ9NCgYZxwJitXrD3t0d0QrSFen6j4GjcUUh8Jfgm8hsTv/dWFJQ1VhDoRR8D+x7uq/DnpxUWAx9u/bCUGGDDPxTsuPsGbHwIPt3Vl8OiO36jQKlWYtDaQXAJdDGxVVI4KGD7+jsHOhv8XYSHgti0WHiGeqL38t7IV60D7dHJNFHw17EJIDKCbXfagfboZJoouJfSGtWDXTFw7UALr2VWFJQlVhDoolArMHLTyCqHgV33dkHiK8H/tvyvjBhgwx8UHIg5AKmvFGO2NoBaI0ZFjE62nLKhgGEIJu7oDqmvFEfijlio5zcKGIbB5N2TIfGVmOjiKRwUpOWlocW8Fmg+tzlSclN0R1+tzbHl0EHBymsrQWQEIWe+BO3RyTRRkJJ7Ak3niPHafHtk5sdzOH9FoaAjrLMMKKUyQKCPgaIFKsLP7vu7IfWV4n9b/mdh/CfXVD4KTsSfgL2/PYZtGAalOg8VMTqZJgp+O9IVREaw4eYnHM/PXxTIorxBZASrrpn7t+I/CgpUBXhzxZuoEVoDMWkxBvXCQsHxR8ch9ZVi8u7JusvrURAiCoq+J26IS68O2qOTuaMgDsBJDnXCyH8eBAq1Au9ver/KYWDP/T2Q+koxesvocsIAm8pDQXRCNJwDndFvdT/kq9gXP7qjk2miIPx8OIiMYPa5PqiI0ck0UbDsCgGREQSc8udQz18UaBglxm0bBzs/O5x7ampojTBQwG4v7L+mv8FrQBSEhAKGYfDxzo9h62eLM0/OgPbo5NKjoOrkPw0CpVpZiIG9D/ZSf76KCouBUZtHlTMG2FQ8Cq4nXUf14Orovby3kQl5wkPBplubIJKJ8OvhX1ERo5NpomDfw32w8RHj670EDPMHaI9OpomCP4+2B5ERbL2z1UI9v1HwMuclmsxpYmJ7ISAkFASeCgSREay7od9e2YoCGvnPgoDFgNRXasVAmVJxKLiXMh+eoZ7osriLiRc3QEgoOBJ3BFJfKSbsmKC3IFKYKLj47CIcAxwxYuMIqDWhoD06mSYKll75HERGMONsV1TE6GTLKRsK8lWD0Gv56xa2FwJCQMHWO1vNbCu2oqC8wxsQREREoHXr1mjRogV1EFRVDOx9sBdSXyk+2PwBZQywoY+CuPRBqDOLoO2ChkjNTbVQz38UXHh2AU4BTnh33btQlGjWIywUxKTFwDPUE68vex25ylzdUXqjk7Whg4KDMQdh42ODKZH9wTAi0B6dTAsFGuYgxm4Tw95fjOgELve2o8BXFFx8dgz2/vYYs3WMmW3FVhSUZ3gDAja0rxAo1Up8sPmDKoeByAeRsPWzxfub3q8gDLChh4KErAQ0Dm+MZnOdkCSXoCJGJ1tO2VFw96UP3EPc0Wt5L703UGP1/EfBi5wXaDqnKVrMa6G3Cp+NsFBwPek6XAJdMGT9EN1OHLqjk2mi4O9jf+tueUhBe3QyTRQ8zXRFrZlSvL6sG4eBRVYUlFf+UyDQx8Ce+3vK/fyVlX0P9xVioOSnzopI+aPgRc4LtJzXEg3CGuBJZiwqYnQyTRQ8zpiIurMI2i6og/S8dIv1fEZBjiKnsInSo/RHJuqFgYKErATUnVUXnRd3hlwh16sXHgpWXVsFIiMIPh2MihidTAsFcoUcHRa2QMMwMZLlnUB7dLIVBUX5z4BAqVZi1OZRVRYDIzeNrCQMsCk/FKTkpqDdgnaoNbOW3ravV29zbD70UPAy5yVazGuBxuHVkJj9ah0NzdfTR4FKQzBkfXM4BTjhcuJlC/X8RkFWQRbaL2yP+rPr43n2cyP1wkFBVHwUpL5SfL77c73L68JDgVqjxtANQ+ES6IJbLzaD9uhkKwqK5z8BAn0M7L7P5c1EGGExMGLjiErGAJtXR0FqbiraL2yPmjNq4s7LOwb1wkNBVkEWuizuAq8ZXohJe4iKGJ1MCwXaxkNdIfElOBDzEcfz8xMFSvVkDFo7ENWCquHWi1tm6vmPgvsp9+EW7IZ+q/sZuV0oLBRM3T/VYKIkvdHJ2lhRoJ8qDwKlWonRW0ZXOQzsf7ifZxhgU3YUpOZuRsdFHeEZ6onbL26bqBcOCvJV+ei7qi9cg1xxPem67uirtTnmVk8HBT4nfEBkBCuvjUJFjE6mhQKGWY4v9hBIfEU4GneYw/n5i4KU3EQ0ndMUr81/DRn5GSbqhYGCOdFzQGQECy4uMKi3oqCiUqVBoI+BXfd2lcNXx48ciDkAOz87DN84nGcYYFN6FKTlDUKnRSLUCLX0iQ0QAgpUGhVGbhoJe397nHp8yqBeeChYdmUZiIzA/yTbeIju6GSaKGDHZa+8RlARo5NpoSBPKUXPZW7wDPU0s5aDDb9RsPv+bohkIkw7NM1EvRUFFZEqCwKlWon/bflflcPAwZiDsPOzw7ANw3iKATbcUZCel47OizvBI0SKm8lSVNToZPMpOwoYZiU+2/UZbHxszHS/FA4KtI2HbPDV3q8Mtn8JDwUbbm7Q29f+6m2OzYceCjSMBqM294aDP8GFZ2+B9uhkmii4nNgejgGOeH/T+xYGlfEVBZ1hnWVAKeUBAhYDEl+JFQOVGssoyMjPQJfFXeAR4oHrSZdQUaOTaaJg+mFtG9+1N9ZaqOc/CtjGQ8M3DjcxHEs4KGD7+k/aOUkPNsJEwS+HfoFIJsKue3+D9uhkmih4mrkHtWeK0G2JM3KVXD5p8xEFXK6CCiNVDgQqjapKY2DohqEoUBVU9pdTiphGQUZ+Brot6Qb3EHdcS7qmO0p/dDJNFIScCQaREcyJJqiI0cnc6suGgti0X4w0HjIW/qPgZvJNVAuqhgFrBhjBtLBQMP/ifN3P2BzdEbqjk2mhIKsgC+0WtEPDsNpIkjuD9uhkeiioOqlSINDHwM57O8v/i6ukHIo9BDs/OwxZP0RgGGBTEgWZ+ZnovrQ73ILdcPX5VYN6YaKAvc/+z/G/URGjk2miIFk+DU3nEDSf62Gk8ZCx8BcFCVlPUXdWXXRc1BFZBaZeV4SBgj3390DsI8aPB340qBcWClQaFd5d9y6qBVXTLSCmOzrZigJuqTIgUGlU+HDrh1UOA4djD8Pe317AGGBThIKsgt3osbQHqgdXx5XnV0zUCwsFO+7ugNhHjG8iv9FdjqY/OpkWCrIKstBpUSfUnumM+IxX62hoPvRRkJFP0HaBOxqENUBidqKFen6j4FLipcJ77WqNsecTBgoYhsHXe7+GxFeCI3FH9OqtKKjsVAkQ6GNgx90dFL+6is2RuCOw97fH4PWDBY4BNvnIKuiPnstEqB7szKGxDR9R8DEMUXDs0THY+tlizNYxBi/UGgBfoHQo+BalQ8HPKB0K/oA5FBSoCvDO6nfgGuSKG8k3UBGjk2mhoEBVgLdXtUD1YIK7L8dzPP9KlA4F60EfBVI8zhgMrxle6LG0h4XbN/xHwaxzs0BkBEuvLDVSXxEoqIHSocAL/xUUiACA8CjZ2dnE1dWVZGVlkWrVqlX2l2ONNdZYY401/4nwDgQAiFwuJy4uLkQkElX2l2ONNdZYY401/4nwDgTWWGONNdZYY03FR1zZX4A11lhjjTXWWFP5sYLAGmusscYaa6yxgsAaa6yxxhprrLGCwBprrLHGGmusIVYQWGONNdZYY401xAoCa6yxxhprrLGGWEFgjTXWWGONNdYQQv4Pjt7iRIQP6MwAAAAASUVORK5CYII=", "text/plain": [ "Graphics object consisting of 68 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for geod in outgeods:\n", " graph += geod\n", "graph += cauchy_hor\n", "show(graph, aspect_ratio=1, xmax=rmax, ymin=-4, ymax=ymax, \n", " axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 68 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(graph, aspect_ratio=1, ymin=0, ymax=1.4, xmax=1, \n", " axes_labels=[r'$r/m$', r'$t/m$'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ingoing null geodesics:" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "ingeods = ingoing_geods(-6., tmax, rmax, v0, 2., 2.)\n", "for geod in ingeods:\n", " graph += geod" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The curvature singularity (in orange):" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "graph += curvature_sing(tmax, 21)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The event horizon (in black):" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coordinate t at the event horizon birth [unit: m]: \n", "0.001000000000369725 +/- 0.001\n" ] } ], "source": [ "graph += event_hor(tmax)\n", "pA = (2, v0 - 2) # point A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The trapping horizon (in red):" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [], "source": [ "graph += trapping_hor(m_num(v), tmax)" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 102 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_wo_points = copy(graph)\n", "if S == S0:\n", " graph += circle((0,0), 0.2, fill=True, color='black') \\\n", " + text(r\"$O$\", (0.5, -0.6), fontsize=16, color='black')\n", " graph += circle(pA, 0.2, fill=True, color='black') \\\n", " + text(r\"$A$\", (pA[0]+0.7, pA[1]+0.6), fontsize=16, color='black')\n", " graph += circle(pB, 0.2, fill=True, color='green') \\\n", " + text(r\"$B$\", (pB[0]+0.8, pB[1]+0.2), fontsize=16, color='green')\n", " graph += circle(pC, 0.2, fill=True, color='blue') \\\n", " + text(r\"$C$\", (pC[0]+0.8, pC[1]+0.2), fontsize=16)\n", "show(graph, aspect_ratio=1, xmax=rmax, ymin=ymin, ymax=ymax, \n", " axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "filename = \"vai_diag_naked_S0.pdf\" if S == S0 else \"vai_diag_naked_S2.pdf\"\n", "graph.save(filename, aspect_ratio=1, xmax=rmax, ymin=ymin, \n", " ymax=ymax, axes_labels=[r'$r/m$', r'$t/m$'], figsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A zoom on the initial singularity:" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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0QUODbH+HDxoOgJFEaKdQpbmAmNsxcLRxVJm30IaIaxGwtbTFvMB5WlzNf46C21yEIoSgOQrzyVEYkyjMRhKAtCg+OPEB+w9UufqrclE8rn6MB5UPYPFA/n/TiEEjQAhhiug6qa6PGOs7FjaWNur3Xw0IIdicshmzAmbBxc5Fy7vwKwpuZjSpgxBUFOYjCmPBrCQBMKI4sOAA3hz8JvsPU2uJcMWiyCjOAACU3SmTe2W/fv2QWZKJR9WPlBbRldWW4XzeeVaGmhLuJeDWo1sKaiM0gR9RGEYUIYkQVBRUFIaE2UkCACZ1mwQPRw8UVhTivdj32Bt6UnsfCfmiyCjOgAAC5N2SLaJzdHOEu7t7UxHdoE6DFN49LicODaIGVpYG35KyBZ2dO2O0rz5WlOVeFIYTRUgiBBUFFYWhYJaSEJNSmILvEr5jL0eh0T4SsqJIL06Hl4sXrl29JtO6W89uAIALeRfQs13PFstgSBOTFYOubl3h19pP83+DEqrqq7Dzxk4s7btUjxXc3InC8KIISYSgoqCiMAQM5leCDyZ2ncheMlurfSSkRZFefAG+At+mhRElGTKAGV5KyE9QuhQHIQQxt2NYGWral7EPZbVlWNZvmZ7vzI0oDDOKkEQIKgoqCr4xa0kA0snspfuWqjVtVy0KCrTcR6JZFBnF5+H8WCS31bCBw1BeW47rRdeVSiKrJAs5T3JYkcSWlC0Y7jVcj/tkS8KuKAw7ipBECCoKKgo+MchfC64Ri2Jy18kq94ZWG532tXZCTcM+ZD8WgRScl9uiX79+uJR/CSIiUjqtNeZ2DKwtrPWUM2jmbuldHM8+zkIUIQl7ojD8KEISIagoqCj4wmQksemvTTpdHx4Qjmf7PAtCCHZd36X70JNOkgCySh5ARIAnd+xlzlnZWqFbt264cO8CXO1c0aNtD4X3OZp1FMO8hsHRxlHjPigj4moE7K3tMbfnXL3eVxb9i8J4oghJhKCioKLgA4P/1VCX5c8v18t90ovTsWjvIt1zFDpKQrxl6Z0M2doDP38/WFpa4sK9CxjUcZDCpHFtQy3ic+P1PtRECMGWq1swp+cc1rZAlUa/ojCuKEISIagoqCi4xmQkoS96tuupn2S2jpLIKM6Am8ANd+/ckzk3IHgACCFIuKc8aX0u7xyq6qv0PvX1XN45ZJVk6aE2QhP0IwrjjCIkEYKKgoqCS4zq14Mr9LKEh66RRHE6OlZ1lHtu6ICOuPXoFkqqSxDaKVThPWKyYuDu4I4+7n00fr4ytqRsgY+rD0Z4y9+nnD10F4XxRhGSCEFFQUXBFVQSChCLoqq+SjdJqFUjIUtGcQYcS+TnEfr1+xkJ93YAUF5Ex8YudJV1ldh1Y5eeayM0QXtRGH8UIYkQVBRUFFxgtL8iXCBewsPOyg63S26rLwutaiQkLn+6ZWnDfTnPEwC9e/fGhXtfoGc7X4VFdAXlBbj64Comdp2o0bNVEZ0ejYq6Ciztu1Sv99UM7URhGlGEJEJQUVBRsA2VhAoEAgEq6yoxbPMw9YeetK6RYMgrzUN1QzUe5z6WOdfBqwMcHWNx4Z41Bne6B0Wrxx67fQwCCDDeb7zGz1fGlqtbMMpnFHxbq95lkF00E4VpRRGSCEFFQUXBJibxa8I2DjYO+GXyL+rnKPSQj0AjcDfzrsy5/v37o7wWuF5Ug8GdvKBomfGY2zHo79kf7Rzaafx8ReQ+yUVcThyW9V2mt3vqhvqiML0oQhIhqCioKNiCSkJNNEpm62Fmk81jG9TV1cmcGxwyWKKI7m/IWz1WRESIzY7V+9TXbVe3wdHGEXN6ztHrfXVDtShMN4qQRAgqCioKNjC5XxU2EYviRPYJZD7KVNxQDzUS7uXucs/17dsXF+5dgIutC3q0DYa81WOvFFxhdqHT49RXERFhS8oWzO05Fw42Dnq7r35QLgrTjiIkEYKKgopC31BJaEh4QDiyX89GQLsA1DfWy48o9DDcZF8sW2kNAEFBQUi4l4BBncRFdLKrx8ZkxcDJxklpDYWmnLlzBjlPclhehkMX5IvCPKIISYSgoqCi0Ccm/evCFs62zgCAxXsXyx960oMk6vJlh5pc2rjAw8NDThGdtChibu/BGN8xsLbU3z7NW65ugV9rPwz3Gq63e+ofWVGYTxQhiRBUFFQU+oJKQgfmB86Xn6PQoUbiYeVDFFcW42H2Q5lzQf2CkPU4C4+qH8mJEhhRlNcG4MK9FEzo4q/Rc5VRUVeBf278g2V9l+lvAUTWaBYFIZOx9sPapjOmH0VIIgQVBRWFPjCbXxk2kJvM1rFGIu1hGvAEqCyrlDk3KGQQLuRdYL6WW0TnhJO5q9AgAsZ3+QWKpsdqyp60Paiqr8LSfnzWRmgCI4qYmHa4nGgLwJyiCEmEoKKgotAVk5GErqvAaoukKCKvRepcI5H2MA0WD+T/twQFBeHCPeU70R27fQa+rj7o0ro3FE2P1ZQtKVswxncMvFy8dL4XVxASirUf/tX0/ScfN5hRFCGJEFQUVBS6YDK/NvJXgf2Gk2eHB4Qj8cVELOm7ROd8xI2HN+BW6ib3XL9+/XDh3gWlCenY7FiM9wuDQBADedNjNSX7cTZO3TllwAlr+TC5CFcAQEDgdYSHTwAXe2YbJkJQUVBRaIvJSEI+3wD4mJMn9fPoB4FAgMvno5oPahlJWD+QTTjbtbKDh5eH0p3o7pbexc1HNxHWJQzyZj1pQ8TVCDjZOGFWwCytrucD2RlNNrCwuAq298w2bISgoqCi0AYTl8RqML8c3IgCAOzuPWj6utGrs8bXpz1MQ2WebD6iV+9euFx4GSIiUrjya+ztWFgILDDGd8zTI7qJghCCbde2YW7PuWhl3Uqja/lEdkZTd3CxZ7bhIwQVBRWFppi4JN4E8Cm4FEVgVfOb6QfZf2i0guyjqkd4UPQAZQ/LZM4NDB6IC3lMEV1AuwC51x/LPoYBHQagtb3kjCrtRXH27llkP85mhtGMBMV1EezumW08CEFFQUWhCSYuCQD4AJyKQiIn8dfjOLwb+67al6YXpwOF8s+Jk9bNRXTSNIoacTz7+NOhppZoJ4ptV7fBx9UHw70NuTZCGuV1EVQUDEJQUVBRqIsZSALgVBQSNRKbl+3DG6FvqH1p2sM0CArlT5nt16+f0p3okguTUVJdomTVV81EUV1fjd1pu7G4z2Ke9o3QHPWqq6koGISgoqCiUAfj+O3XCxyIokWNxBT/qfBy8UJJdQnWxq1VOfSU9jBN7kZDFpYWsPW0VVBEx3Ds9jE42jgq3alOE1Hsy9iHstoyoxpqUr+6moqCQQgqCioKVZiRJADWRaGgRuLy/cv46txXKlePTXuYJne4yb+HP648vAJA8U50sdmxGO0zWo2lONQTxbZr2zC081B0deuq4n6GgeZrNFFRMAhBRUFFoQwzkwTAqigU1EiM7zJerWXGr+dfR0VBhczxkP4hSLiXoLCIrqKuAufunlOQj5CHclHcL7+PY7ePmWgUIQkVBYMQVBRUFIowQ0kArIlCSSGdZGX24r2LQQiROl9aU4qCrAIQkfRxoDlpHdpR/lDS6TunUS+q13AXOsWi2JG6A9YW1pgXOE+D+/GHbiu9UlEwCEFFQUUhDzOVBMCKKFRUW4tFMdpntMxCecpmNvkH+iO1KBWDOyvOR3i5eKF7m+4adlhWFIQQbL26FTN7zFS49IehoftKr1QUDEJQUVBRtMSK7w7wywdPP699+vkj3W6nxpIc4QHN72D7M/ZjSvcpsLKwUpiPAID69vXMTnQKktbMUhzjtVyhVSyKiQDGI7nwf7hedB1fjftKi3txT3MUwfwoa7/Sq1gUE8CI4l8wr425IXz6ec3Tz6t56gefiEUxAYwojgMI5rVHfGLGkYQYPUYUGqzblPkoE3P+mdOUo0h7mAbbYluZdp29O+N62XWFRXT3yu4h7WGaBvkIeTRHFNuuvgh3Bzcd78cd+t0vgkYUDELQiIJGFGKoJADoTRQa7CPRrU03qWT2tYJrqL9fL9MupH+I0iK649nHIYAAY33Hat9vptOobzyIHakiPNu7AlYWV3S8H/uws+scFQWDEFQUVBSACUlC96XCdRSFFvtISCazz1w5A1G9SKZN3759lRbRHbt9DMEdgtGmVRvN+9yCI1ln8bCqAUv7BUBfy4yzCXu7zlFRMAhBRUFFYTKSkL9UuKboIAot95EIDwjH1plbUXOvRu55j64eeFT9SG6RnIiImKU4/PQzNLTt6jb08+iHPu5noI9lxtmE/b2rqSgYhKCiMG9RmIwk9IeWotBhH4lubt2AAvnnqtpWAQAGdZQtortaeBUPqx5ifBdNpr7Kp6S6BAdvHcSSPkugr2XG2YSbvaupKBiEoKIwX1FQSchFC1HoIAlFM5tau7XGzbqbCGgb0GJlV4bY7Fg4WDso3YRIXXZd34VGUSMW9l749IjhioL9KEISKgoGIagozFMUVBIK0VAUOkjiRtENuVuW9g/qj4R85fmIkT4jYWslOytKU7Ze3YqJXSfC3dFd4qhhioKbKEISKgoGIagozE8UVBJK0UAUOkjiys0rEFXJJq3v2t/FtQfX5BbRVdVX4ezds3rJR9wsvomL+RextO9SOWcNSxTcRhGSUFEwCEFFYV6ioJJQiZqi0EES169dl3v8bqu7ICByI4kzd86gtrFWL/mIbVe3wdXOFdP8pyloYTii4D6KkISKgkEIKgrzEQWVhFqoIQoNaiQkqaqvwoOsB3LPPTfxOTjbOqN7m+4yiwIeu30MHZ06IqCt/F3q1EVERIi4FoH5gfNhZ2WnpCX/ouAvipCEioJBCCoK8xAFlYTaKBGFFjUSYm4W35Q7s8nO3g55NnkY1HEQ/nPoPzKrx8Zmx2J8F22X4mgmPiceeWV5CoaaWsKvKPiNIiShomAQgorC9EVBJaERCkShZY0EoHhmU98+fXHx/kUM7jQY07pPk1pmvKC8AKlFqXrJR2y7tg3d3Lqp2KxIEn5EYRhRhCRUFAxCUFGYtiioJDRGjih0yEdcvn0ZKJU97tvDF8VVxRjcebBUZfaz0c8iJisGADDOb5zm3Zegoq4CUWlRWNJ3iYYRCfeiMJwoQhIqCgYhqChMVxRmvgqstrRYPTZXYvc2DSVx6Yr8N1i7zkx+QFxEJxbFvD3zcOfJHQR5BKGdQzuNntWS6PRoVNZXYnGfxVpcLb16LBALYKBO/VGE/lZ6ZQO6eiyD8Olnunqsqa0eazC/asaHRESR+1fzYQ0lcevGLbnHS1uXyhTRhQeE4/zz55HzOEcvq7RuvboVo3xGwdvVW8s7cBNRGGYUIQmNKBiEoBGF6UUUVBI68VQUuXHNhzSQRG1DLR7efihz3MLCAllWWXKnvtpa2aKoqgit7Vpj2b5lSvfMVsbd0ruIz4lXM2GtDHZFYXi5CEVQUTAIQUVhWqIwyF834+IDILdL87caSOLWo1tyk9bd/bvjxpMbcovoYm/Hwt7KHr6tfRGZGql0z2xlbL+2HfbW9pgdMFvja2VhTxSGH0VIQkXBIAQVhemIwmQkoftS4TqQ+zTp6wSg9U9qX5aSlwLIBhLo1L0TREQkd8bRsexjGOE9AvMC50klszURhXiL0lkBs+Bkq6/xc/2LwniiCEmoKBiEoKIwDVEY/K+cuuhnqXAtkKqRcAcEH0PdRQFPJZ4CiOxxqw5WcLZ1Rs92PaWO1zTU4PSd0035CMlZT6tiVqnd5Yv5F3Hr0S09DDW1RL+iMK4oQhIqCgYhqCiMXxR0dpOuSNVIDAQwCOrumX0lRf7ub09aP8GgjrI70Z27ew41DTUY79e8FEd4QDii50WjR9seand529Vt6OTcCaN9Rqt9jfroZ9aTYc9oUgc664lB+PQznfVkrLOejOrXziCRqZFQf1HA7LRsucdvWd+Sm7Q+nn0c7g7u6NW+l9Txaf7T0K1NN5TVlmHdqXVKh55qG2qx8/pOLOq9CJYWlkr7pz26RxTGG0VIQiMKBiFoRGG8EQWVhK7ILaRTLYqahhqU5spW0Xl29ESJoERu0vp4znGM9RursPAtMT8Rn5z+RGmO4nDmYTyueYwlfZco+hfpCe1FYZy5CEVQUTAIQUXRUhTGgdH+6hkMCqutlYvixoMbgJx1/Ty6eQCQ3YmupLoEl+9fxjhfxT9cY/3GqkxmR1yLQLBnMALa6bYwoHpoJwrTiCIkoaJgEIKKQlIUxgGVhK4oXZJDsShOJJ0A6mVvZ+FpIXcnuviceBAQjPUbq7Q7ksnsRdGLQEhzZrykugSHbx3WssJaWzQThWlFEZJQUTAIQUUhFoVxQBPXuqJy3aYWS3g8TWafu3RO7u1KXEowstNImeMnck6ge5vu8HLxUtklsShyn+RKDU3tvrEbIiLCgl4LVN5Dv6ifzJaNIqw56iMX0GQ2g/DpZ3NPZhsHVBK6otY+ErKiuJF6Q27LO/Z3FCatJWc1qSI8oHmM5mjWUYzzG4eIaxEI6xLWYotSrlAtCuOf0aQOVBQMwqefzVMU9Y31sLY0jj+ATO5XkFM02kdCeugp/1a+TAsnFyeInGWL6O48uYPMkkyVQ03yyH2Si+l/T8eMv2fgfN55joeaWqJ86Mn0chGKoENPDEKY69DT52c+57sLasOqJE6fPo1p06ahQ4cOEAgE2Ldvn9L2J0+ehEAgkPnIyMhgs5vao/E+EowoymuFqMmrkTnbvkt7ONg4ILBdoNTxEzknIIBAq7oGH1cf7JqzC0dvH4WVhRWmdJ+i8T30i3xRmG4uQhFUFAxCmJsokguS8emZT/nuhtqw+mtYWVmJvn374ueff9boups3b6KgoKDpo1u3biz1UEe02kfiA5xKXQRUyZ4ReAowoOMAmfqF49nHEdIhRCaZrS4ze8xEe4f2aBQ14sWDL2q9KKD+kBWF+UQRklBRMAhhLqKobajF0n1LZf4QNGRYzUlMmjQJkyZN0vi69u3bw9XVVf8d0jdabjYUe85N7vGHzg8xp+McqWOEEJzIOYHlQdovO3Ix/yIKKwohHCnEsexjqKqvgrOts9b30w/NOQpCxmPth3cAuAIwhyhCEpqjYBA+/WzaOYpPTn+CjOIMJL6YyHdX1MYgfxWDgoLg6emJsWPHIj4+Xmnb2tpalJWVobych7/CtJRE0pUkucdLXUtl8hHXi66jqLIIY301z0eI2X5tOzo6dcTaEWtx5rkzcLZ1xv3y+wYTUcTELMflRFcA5hRFSEIjCgYhTDmiSMxPxJdnv8SHIz9EX4++fHdHbQxKEp6envj9998RFRWF6Oho+Pv7Y+zYsTh9+rTCa7744gu4uLjAr0sXhW1YQ0tJZKVlyRyztrEA2gKDOkkX0R3PPg47KzsM9RqqVRfrGuuw8/pOLOy9EJYWlrAQWKCusQ4jNo/QeplxfUKIE9Z+2PyG8MnHuWYURUhCRcEghCmKoqahBkv3LUU/j354b+h7fHdHMwhHACB79+7V+LqpU6eSadOmKTxfU1NDSktLSVnhbULWg5R+CgIwn0llkQ49VoNx4whhcq6EPHqk9mWWbSwJmPVfmz7cu4N4f+8i03Zy5GQybts4rbu4P2M/gRDkWuE1qePRadHEap0VmffPPFLfWK/1/XXlyJHmlzAg8BZpbHQhhFzkrT/8c4EQ4kwIGUYIKeO5L3zyESEEhJDPee6Hfnj32LvE5hMbcv3Bdb67ojEG/zdbaGgoMjMzFZ63tbWFs7MznJx4GMdVq0ZCmjuFd9D4qFH2hIcDQjuVQrIyu76xHqdyTyldikMV269tR1/3vujt3lvquGRlNl8RheyMpk6wsAgEm1uhGj40omAQwlQiigt5F7D+wnqsG7UOge2NJ2EtxuAlkZycDE9PT767IYtGNRLNHDh9QO7xRy61CO00GZJLeFzMv4jK+kqt6iMA4EnNExy4eQCL+iySe14sisO3DiO5IFmrZ+iC7Iwme3CxZ7bhQ0XBIISxi6KqvgpL9y3FwI4D8faQt/nujlawOrupoqICWVnN4+85OTlISUmBm5sbvLy8sHr1auTn52Pbtm0AgB9++AE+Pj4IDAxEXV0dtm/fjqioKERFRbHZTe3QuEaC4czFM3KPN7RvwKCOawEMgbgy+3g2QWu71gjyCNKqi3vS9qBeVI+FvRcqbBMeEI5c71y0bdUWIiKCiIhgZcF+Ib7i6mr97Edh/NBZTwzCp5+Nc9bTByc+QF5ZHg4+c5DFpfnZhdV3g6SkJIwe3VwAtmoVs3va0qVLsWXLFhQUFODu3btN5+vq6vD2228jPz8f9vb2CAwMxOHDhzF58mQ2u6kdWiatU6+myhwTCASw9LBEkGcQAPGSHGtxPLszxviO0fqHK+JaBMb6jkUHpw5K27Vt1RYA8PqR11FUVYTIWZGsi0L5Gk1UFAxUFAzCp5+NSxSn75zGjxd/xLdh38K/rfGs+ioD30kRvVFZxG3ievv25ozrt9+qfZlDZweZpLVzR2cy8I+BUu3Kav6PWK0D+TVxilbdy32cSyAE2ZqyVe1ruEpmi0SEBA+ob3r59uxR1LKMEDKEMIlcmsymyeyPiLEks8try4nfj35k2F/DSENjA9/d0QmDz0kYLFpEErW1tajMr5Q5LnIXIbSjdH3E6TuD0CACxvoehrp7ZksSmRqJVtatMCtgltrXcJXMVr+6Wr97ZhsvNEfBIISx5Cjei30PhRWF2Dxjs9EOM4mhktAWLSRxJukMIJI9XuFWIbc+wsvFC13dPoE6W6FKQghBxLUIhPcIh6ONo9rXAdKi2Ji0UaNr1eubpms0UVEwUFEwCGHoooi9HYtfkn7B1+O+Rle3rnx3R2foUuHaooUkYs4q2GjEAzKV1sdzjmOc7zgIBGsBCNByPwplXCm4goziDHw/4Xu1+tWS8IBwnHnuDEI6hGh1vTK02y+C5igYaI6CQfj0s+HlKJ7UPMHzB57HOL9xeHnAy3x3Ry/QSEJbtKiRuJQk/6/gNn5t4Ovq2/R9YUUhrhddxzg/cX2E6j2zJYm4FgF3B3eJ6zUntFMorCyscPbuWSzfv1wvQ0+6rfRKIwoGGlEwCGGIEcUbR99AWW0Z/pr+FywEpvH2SiMJbdCyRuLmjZsyx2xb22JIjyFSO8jF5cQBAMb4jpFoKX+Hu5Y0iBrw9/W/8WzvZ/UyQ6m4qhjbrm1DRX2FzrOedN91jkYUDDSiYBA+/WwYEcX+jP3YenUrtszYgs4unXntiz4xDdVxjRY1EiKRCA+zH8ocb2zfiEEdZfMRvdv3lrODnOqIIvZ2LIoqi/S2udDMHjP1kszW334RNKJgoBEFgxCGEFE8rHyIlw69hOn+07Gk7xLe+sEGVBLaoEU+IisrC6Ja2ax1Q/sGqXwEIQTHs48rGSpSLoqIaxHo2a4n+nn0U6tf6iCZzH7tyGta3UO/+0VQUTBQUTAIwacoCCF4+fDLaBQ14vepv0uNCpgCdLhJG7SQxInzJ+Sf8AQGdBzQ9G1mSSbyyvJU5BPkDz2V15ZjX8Y+fDjyQ73/oIYHhCNqXhT8WvtpfC07e1fToScGOvTEIHz6mfuhpx2pOxCVHoV/5v7D0/7x7GIykcSmvzZx9zAtJHHq4im5x7v36i61AdDx7OOwsrDCCO8RKu4oG1FEp0ejuqEaz/Z+Vq0+acp0/+no1b4Xquqr8MWZL9QeemJv1zkaUTDQiIJBCK4jivyyfKw8shILey/EnJ5zVF9ghJiMJJY/r/3ObRqjhSRSUlJkjlnYWWBY72FSx07knEBop1A16xukRRFxLQKjfEaxnjRLzE/Ehyc/VCtHwf7e1VQUDFQUDEJwJQpCCF44+ALsrezxv0n/Y/VZfGIykuAULSRx9+ZdmWMidxEGew1u+r5R1Ii4nDgNlwZnRHGvTIi4nBN6S1grY6TPSLWT2dzsXU1FwUBFwSAEF6L448ofOJp1FJumb4KbvfwtiU0BKglt0LBGorCwENWPq2VPtCiiu1JwBU9qnmhR3/ABdqROgK0VMDtA8d4b+qTlEh4iIpuUZz+KkISKgoGKgkEINkWR/Tgbq2JW4cX+L2JSt0l6v78hQSWhKVrUSFy+clnucbtOdghoG9D0/fHs43C0ccTAjponYLdfu4/p/r3gYvcltFnrSRvEoujdvrfcwiFuoghJqCgYqCgYhGBDFCIiwrJ9y9DOoR2+DftWb/c1VOjsJk3RokYi/kK83OO9+/WWWvzrRM4JjPQeCWtLzYrMrhZeRWpRKj4fexDAVWiyhIeuhAeEIzyAefePz4nHcO/hsLKwYmlGkzrQWU8MdNYTg/DpZ/3Nevoh4QecvXsW8Uvj4WRr+q8pjSQ0RYt8xIXEC7IHLYExIc0V1TUNNTiXdw5jfTXfhS7iWgTatWqHCV0mQNMlPPTFvbJ7mBg5sSlHwX0UIQmNKBhoRMEghL4iivSH6VhzYg3eCH0DI31G6qFvho+JS6JM/7fUQhIZ1zNkD7YHhvoObfo24V4CahpqWizFoZpGUSP+vv435gfOl4hAuBdFJ+dO2Dl7J5OjiHoWH3xU03SOuyhCEioKBioKBiF0FUV9Yz2W7FsC39a++GzMZ3rsm2Fj4sNN8wGcAOCiv1tqKInS0lKU5JfInvCE1PLgcTlxaGPfBr3de2vUndN3TuN++X0826dlbYR6az3pE3GOYu4/89DoBSApEgEBRIs1mvQFHXpioENPDMKnn7Ubevry7JdILkjG+eXnYW9tr8+OGTQmHkncAvMGUaq/W2ooCXn1EQCz8mt7h/ZN38flxGG072iNV46MTI2EX2s/mfWfGLiPKGb2CId34t+AWxZgW8ZTFCEJjSgYaETBIIQ2EcWVgitYd3odVg9brdXEEmPGxCURBSAdehWFhpJIvJwo93j/oP5NX1fUVeBi/kWM8dFsqKm2oRZ70vZgYa+FSpbh4FYUMTFA9qE5wB+XEODnhKFhRaztcKc+VBQMVBQMQmgiitqGWizZuwS92vfC/438P5b7ZniYuCT6ATgOvYpCwxqJMwlnZA8KgPFDxjd9e/buWTSIGjTOR/yb+S9Ka0uxsPdCFS25EYVUXQSxhFAowNiI0axuhao+VBQMVBQMQqgrig/jP0RmSSa2zdwGG0sbDvpmWJi4JAAgBHoThRY1EleSr8gebAOM7NY8MyIuJw4dnDqge5vuGnUnMjUSQR5BCGgXoLoxB6JoOaNpziwrfDr6U9b3zFYfKgoGKgoGIVSJ4nzeeXxz/husG7VO43yhqWAGkgD0JgoNaySqq6uRn50vc9yigwX6uvdt+j4uJw5jfMdotHJraU0pDt06pEYUIQl7olBUXd2yMpuKwlCgomAQQpEoKusqsWTvEoR2CsXbQ97moW+GgclIQvUqsHoQhYb5iNTUVBARkTneyb8TbK1sAQCPqx/jSsEVjfMR0enRqGusw4JeCzS6ji1RKKuLEIviwM0DuHjvot6eqT1UFAxUFAxCyBPFe8ffw/3y+9g6c6tU0au5YTKSUG8VWB1FoaEkrlyRM9QEYEBw8/4Rp+6cAgHROB+x4/oOjPQZiU7OnTS6jkG/olBnjabwgHDkvJ6DoV5DQQhBo6hR5+fqBhUFAxUFgxCSojiefRwbEjfg6/Ffo1ubbvx2jWdMRhLqo4MoNJTEpST5bzyThjUvCBaXEwe/1n7wdvVWuxsF5QWIy4nTcd8I/YlC3epqD0cPAMCaE2uwMHohHXoyGKgoGIQAPkJpzRo8t38OxvqOxX8H/JfvTvGOGUoC0FoUGkoiITFB9qArMDaweemNuJw4jYeadt3YBSsLK8wOmK3RdbLoLgptVnod2HEgzVEYHFQUDEK8frQvympL8deMYI3rlkwRM34FtBCFBpKor69HZobsst22nWzh7cJEDQ8qHuDGwxsaDzVFpkZicrfJaG2vegquanQThTZrNNFktqFCRbE/Yz+2Xr2KHyfOgJfL1+Bjz2xDw4wlAWgsCg1qJNLT09FQJ/vm5xvg2zSLKT6XWR12tO9otXt869EtJN1PwsJemsxqUoV2otBlvwhJUfyY8KMmnWUJKgoG8xXFw8qHeOnQS5juPx1L++4F11uhGiomvnaTOohFMQ6MKI5C7lpPGtZIJCcnyz0+aID0ek092/VsGqtXhx2pO+Bk44Sp3aeqfY16aL7Wk2wUodkaTeEB4YhfGo8BHQaobswJdK0nBvNb64kQgpcPv4xGUSN+m/rb0z/khE/P6m+ZcWPEzCMJMWpEFBrWSCia2TR1RPObu6b5CEIIdqTuwKyAWSwtMKZ+RKGvXeeGeQ2DrZUtku4n4aWDL9GhJ4PBvCKKHak7EJUehY1TN7b4o00Ic48oqCSaUCEKDZPWF5Pk1AM4AhP6TQAA3HlyB7cf39YoH5F0PwmZJZk6zmpShXqi0Pd+Efll+dicspnmKAwK8xBFXmkeXvn3FSzsvRBzes6R00IIcxYFlYQUSkShgSREIhFSr6bKHHfydmraySo+Nx4CCDTauGRH6g64O7hrlMPQDuWiYGPv6hk9ZtBktkFi2qIQERGe2/8cHG0c8fOkn5W0FMJcRUElIYMCUWggidu3b6OqskrmeNfArk1fx+XEIcgzCG72bmr1qlHUiJ03dmJBrwWwsuAilaRYFGztOieZzP7vYUOYn05FwWC6othwaQNO5JzA5hmb1ZgtKIQ5ioImruUiJ5mtgSQUJa1DB4QCYHILcTlxeKbXM2r3KD43HoUVhRqu1aQrsslstveuDg8Ix565e9DRuaP+bqoTNJnNYHrJ7IziDLx7/F2sHLAS47uMV30BAHNMZtNIQiEtIorcrOZTKiShKGk9Y+QMAEBmSSbyy/M1ykdEpkaiq1tXHmYCSUcUXOxdPaPHDIR0CEFtQy2+Pf8tHXoyGEwnoqhvrMfivYvh7eKNr8Z/peHVQphTREEloRQJUeQ+rZ5Wo0ZCriTsgHHB4wAwQ01WFlYY5jVMrV5U11cjKi1KxeZCbMKIghAh1n54t+ko27vOJd5PxPsn3qc5CoPCNETx2ZnPkFyQjIjwCLSybqXFHYQwF1FQSagkBBAdA+7UMN/6dFZaI0EIweXkyzLHW/u2blpJMi4nDgM7DmxKYqvicOZhlNeVy9nHmks+QEzMDlxO9ALAXhQhyTCvYTSZbZAYtygu5V/Cp6c/xdoRazGgoy6RuRDmIAqTkYTqpcJ1oKAj8LREAj4FUFaZnZ+fj5LiEpnj3QOZDYVERIT43HiN6iN2pO5ASIcQjTcl0idMLmJu0/effLyXk72rWy7hQVePNRSMUxRV9VVYvHcxgjyD8MHwD1RfoBIhTF0UJiMJ9ZYK1xKppHUllC3hoShpPXTgUADA9aLrKK4qVjsf8bj6MQ5nHtbzMhyaI52LKEB4+AJwsWc20CwKP1c/A1lwjYqCwfhE8V7se7hbehcR4RGwttRshQDFCGHKojCE3zjDR0oS/4WyymxFSevw0czYTFxOHGwtbTG482C1Hh2dHo36xnotNhfSH7J1EZ6wsPgEbO+ZLUl4QDi+GPcFBAIBzt09R4eeDAbjEUXs7Vj8nPgzvh73NXq07aHnuwthqqKgklAHKUkMh7LKbHmRhMBagMFBjBTic+Mx1Gso7Kzs1Hp0ZGokxviOgaeTp1Zd1wfyZzSxv2e2PAorCjE+YjzNURgUhi+Kx9WP8dz+5zDWdyxeGfgKS08RwhRFQSWhDjI1Eoorsy9fkU1au/m4wdLSEg2iBpzMPal2PiK/LB8nc0+yvAyHcpRXV3MvCg9HD0TOiqTJbIPDsEWx8shKVNRVYPOMzSwPWQphaqKgklAHuYV0sqJ49OgR7uXdk7ncv5c/ACC5IBlltWVq5yN2Xt8JG0sbzAqYpX3fdUR1XQT3oqD7URgqhimK3Td2Y0fqDmyYvAGdXTpz8EQhTEkUVBLqoHAfCWlRJCeflXv58EHDATD5CEcbR4R0CFHrsTuu78DU7lPhYidn6XIOUH+NJv5Ecb3oOkqqZWeTcQ8VBYNhieJ++X2sOLQCc3vO5Xi1AiFMRRRUEqpQuY9EsyiuXHlN7i2mjZoGAIjLjcMI7xFqzaq4WXwTVwquaLR0h77RrLqaH1FcXXEV7R3ao6S6hEYUBoNhiIIQguf3Pw87Kzv8OuVXHgpRhTAFUVBJqEKtfSQYUSQnF8iesgBC+oWgrrEOZ+6cwWgf9VZw3Xl9J5xsnDC522Rteq0z2q30yr0orCys0ChqpMlsg4N/UWxM2oiY2zHYNH0T2rRqw/nzGYQwdlFQSahC7YX9QnDliuwMpDbebWBra4tL+ZdQ3VCtVj6CEIKdN3YiPCCcpc2FVKP9Gk3ci8LSwhJrh6+lOQqDgz9RZD7KxNuxb2NF8ApM6jaJs+fKRwhjFgWVhCrUlER5eTkyM/Nkjgf0DgAAnMw9CRdbF/R176vykdceXENGcQYWBPJTG6H7fhE0mU1FIYZ7UTSIGrBk3xJ4Onrim7BvWH+eeghhrKIwbUkkfav7PdSUxNWrV0EIkTk+IpTZ0/pk7kmM8B7RtH6TMnZe3wk3ezeM8xunaW/1gn5WeuVPFPsy9uH0ndOcPFM5VBQM3Iriq7Nf4VL+JUSER8DRxpHVZ2mGEMYoCtORhDwhJH4FXPhEt/uqKQlFy3FMGHYEtQ1FOJ93HqN8Rql8nHioaU7AHD0uG6A++t11jh9R3H6teVtYERFx8lzFUFEwcCOKKwVXIDwlxPtD31d7VQNuEaJZFMaBaUjiwieMEORx/kPdRKGmJOQuxyEAgvrdQ+L90ahuqFZLEpfyLyH3SS5vy3Dof78I7kXRybkTAODT05/imahn6NCTwcCuKGoaarB472L0bt8bH436SK/31i9CMKIwDoxfEhc+YUSgDF1EobBGQhp5kYRbRzc4OZ3AydzbcLG1RF93H5WP+/v63/Bw9MAI7xHa9VcH2Ni7moGfJTwC2wXSHIXBwZ4o1pxYg9sltxERHgEbSxu93ZcdhHx3QG2MWxLqCEKMNqJQWSPBUFtbixs3bsgc79mnJ4AQnMztgxHeAlhaTIGyZcYbRY3YfWM35vWcp1buQt+wu+scTWZTUYjRvyjic+LxfcL3+Hzs5whsH6jz/SjNGK8kNBGEGE1FoVaNBHD9+nU0NMi+AY0KHYXahlqcz7uOUT4roWz1WAA4c/cMCioKeBlqYi+KkIRfUXxzzhBmulBRMOhPFKU1pVi6bylGeo/EG6Fv6Kd7lCaMUxLaCEKMJqLQMWk9InQEEu8nPs1HLIay1WMBZlaTt4s3QjuFqtc/PcLF3tUM/IgidnEsXg99nZPnqYaKgkE/onj96Ot4UvMEW2duNZD9RkwL43xFz+uY9FH3el2S1gCCgoJa1EcoXj22vrEee9L2YEGvBZwvH8BNFCEJ96IY5TMKraxb4XrRdfz38H/p0JPBoJso9qbvxdarW/HTpJ/g7erNQv8oximJITq+sah7vQ6RhKu7K9q2bSunPkK+KE7knMCj6ke8DDVxF0VIwk8yO/txNv648gfNURgU2omisKIQLx16CTN7zMTSvktZ7J95Y5ySGPx/wJB12l07ZB1zvTqoIYnGxkZcvXpV5nhg78Cn+Qh59RGyoth5fSf82/irVZGtT7iPIiThXhTT/afTZLZBopkoCCF48eCLsBBY4Pepv/OweJ/5YJySALQThSaCANSSxM2bN1FdXS1zfOTgkRL5iFFyrmwWRU1DGPZm7OVlqImfKEISfpPZ/zn4H06eqRwqCgb1RbEpeRMO3TqEP6f9iXYO7Tjqn3lixXcHdEL8hq9OEltTQQBq1UgoSloPChmkxnpNjCiOZI5EWW0V5gdyu+JrcxTB/BhwG0VI8sHTz2uffma/0Cg8IBz/zP0Hbez5Wh20JWJRTAQjilgAA3ntET+IRTEBjCj+BfPaNJNVkoU3jr6B5UHLMc1/GvddNDOMN5IQo05EoY0g1KyRUJS07t+/P+Jz49VYrykEO28MQV93CwS0ex3K6ij0Df9RhCTcRxQze8zEcO/haBA14OdLP9OhJ4NBcUTRIGrAouhF8HD0wA8Tf+Cne2aG8UsCYAQw4D3557QRBKB2jYS8SMLR1RFt3dvifN55lftHVNRV4ODNc1jQ62WoqqPQJ/zmIhTBTzI76X4S3ox5k+YoDAr5ovjs9GdIup+E7bO2G9jifaYLq28Lp0+fxrRp09ChQwcIBALs27dP5TWnTp1CcHAw7Ozs4Ofnh40bN6r3sJC3ZI8NeE87QQBq5SMIIXIl0adfHyTeT0RNQ43K9ZoO3jyI6oZqLOj1NlTVUegTw4oiJOFeFKGdQmky2yCRFsXFe3H45PQn+GD4B7zUEpkrrEqisrISffv2xc8//6xW+5ycHEyePBnDhw9HcnIy1qxZg9deew1RUVHadUCeONRFDUnk5ubiyZMnMseHDhyKk7kn4Wrnij7ufZQ+ZueNnQjtFAofVx8oq6PQJ4YZRUhCl/CgohDDiKKi7ioW7Z2C4A79sHbEWpVXUfQHq4nrSZMmYdIk9XeF2rhxI7y8vPDDDz8AAAICApCUlIT169dj9uzZLPVSAWpIQlE+IiQ4BL/d+U1lPuJx9WMcyTyCb8ZLLhchFsU4MKI4CsBFo66rQjaK4H5JctXwk8zePWc34nLiDKRylyazGULxVswY3C/fj38XAtaWNQAM8WfWNDGE34QmLly4gLCwMKljEyZMQFJSEurF+YEW1NbWoqysDOXlel6fXg1JKJrZFNg7kKmP8B6l9BH7MvahQdSAuYFzW5xhL6Iw/ChCEn4iiv9N/h8sBBZIup9EIwoD4MDNA/j9yn58P+E9dGuTCb72zDZXDOrtobCwEO7u7lLH3N3d0dDQgOLiYrnXfPHFF3BxcYFfly767YyWkrB3sEexXbFa+YidN3ZipM9IdHDqIOcsO6Iw3FyEIvhJZhdXFWPUllF06IlnHlQ8wAsHXsC07tPwYv8vwNee2eaMQUkCgEwxmXhLUEVFZqtXr0ZpaSmyb9/Wb0fUqJGQN9zUp28fnL57WmU+oqiyCCeyT6jYx1q/ojCuKEIS7kXRtlVbRIRH0BwFjxBCsPzAcggEAvw5/c+n7wHc75lt7hjUW4SHhwcKCwuljhUVFcHKygpt2sgverK1tYWzszOcnJzkntcKNWokCgoKZPoKPC2iu6N6P+s9aXsAALN7qsq16E8UxhdFSEKT2eYmit8u/4bDmYexafomtHdoL3GGioJLDEoSgwcPRmxsrNSxY8eOISQkBNbWHCaq1KiRUJSP6N23t1r5iJ3Xd2J8l/Fo26qtGh3SXRTGG0VIwp8oLt+/jKLKIk6eqRzzEMXN4ptYFbMK/wn+D6Z2nyqnBRUFV7D6NlFRUYGUlBSkpKQAYKa4pqSk4O7duwCYoaIlS5Y0tV+xYgXu3LmDVatWIT09HX/99Rc2bdqEt99+m81uyqJD0tqqg5XKfER+WT7O3D2jYqipJbqJwrijCEn4EUXaK2no4NQBZbVlNKJgmfrGeizauwidnDvh27BvlbSkouACViWRlJSEoKAgBAUFAQBWrVqFoKAgfPghs9ZSQUFBkzAAwNfXF//++y9OnjyJfv364ZNPPsFPP/1kNNNfrW2skWudqzIfsSdtD2wsbTCjxwwNO6adKEwjipCEe1HYWNpARESYFDmJDj2xzLpT65BckIzIWZFwsHFQ0ZqKgnWIqVBZRMh6kNJPQQDmM6ks0u5en35KCPPeSkhUlNwmvr6+BIDUR1BwEBmzdQyZ/vd0pbcfsmkImbpjqnZ9I4QQkkgIcSGEhBJCnqhsfeRI8z8nILCONDbq8GiD4lNCCAghQs6eGJ0WTazWWZF5/8wj9Y31nD1XMWWEkCGEEGdCyEWe+6I75+6eIxYfW5B1J9dpeOUFwrwGwwjzmlD0hVH/PckaKiKJx48fIycnR+Z4UL8glfmIe2X3cD7vPOb1nKdDB9WPKEwvipCEJrNNKaIory3HouhFGNRxEFYPX63h1TSiYAuTebvQKyokIc6xtKS1b2uV+QjxUNN0/+k6dVFdUZhOLkIR/Ilib/peHM8+zskzlWMaonj96Ot4WPUQEeERsLLQZjEIKgo2oJKQh4oaCUVJ6/I25XCxdVGaj9h9YzcmdJkAFzt9LLWhXBSmHUVIwo8obq68iYldJwJorufhD+MWRXR6NDanbMaPE39EFzddCmOpKPSNSb5l6IQaNRLyktaWlpbIss7CcO/hCusj8krzcOHeBcwL1GWoqSWKRWH6UYQk3IvCt7UvAOD7C9/jmahn6NCTltwvv48XD76I8B7heK7fc3q4IxWFPqGSaImWNRL+/v64+OAiRniNUHhr8VDTtO763k1LVhTmE0VIws8SHj6uPohKj6I5Ci0ghOD5/c/DxtIGv0/T517VVBT6wuTfNjRGRT6iqqoKGRkZMse9A7xRWV+JEd6KJfFP2j+Y2HWinoaaWiItipiYSjOKIiShyWxjEsWGxA2IuR2DzTM2q1lYqglUFPqASqIlKiRx7do1iEQimeOWHSzRyroV+nv2l3tb8VDT3J4tV3zVJ4woCEnH2g+zm46aRxQhCb+i+Oz0Z5w8UzmGL4q0h2l4J/YdvDLglabcjv6hotAVVveTMEpUSEJR0vqR6yMM6TwE1pbylw/Zk7YHtpa2epjVpIoQxMRcwuXE7gCAgMBahIfbsvxMQ4Sf/SiOPnsUAzoOYP1Z6mG4+1HUNdbh2ehn4ePqg6/Hf83y08SimABGFP+CeW0o6mAyf19u+muTnKNa/PWkQhKKNhq6YXFDaT5id9puTOg6Ac62zpr3SQOYXIRf0/effCyEhQX7e2YbJtxHFGP9xsLZ1hmZjzLx2pHX6NCTAj6K/wjXi64jclYkWlm34uCJNKLQFpORxPLnl8s5Oh/Aec1upEUk0cm7E8oEZQrzEXdL7yLhXoKOBXTqIT2jqRzh4RvBxZ7Zhgs/yeyM4gz8mvQrzVHI4fSd0/jq3FdYN2qdwuFZdqCi0AaTkYR8eoMJMTUQhZIaifr6eqSmpspc0rZLW9hY2mBgR/mhvHioaZq/vmc1SSM7o8kJFhaxYHvPbMOHe1FM859Gk9lyKK0pxeK9izHUayjeHfouDz2gotAUE5fE3wD6Q21RqKiRSEtLQ11dncxl9e3rMbDjQNhb28u97e4buzGx60TWh5rk10WwtxWqccFvMvuFAy9w8kzl8C+KV4+8isfVjxERHqF0vxV2oaLQBBOXhAOYJJWaolBRI6EoH3HP4R5Geo+Ue+7Okzu4mH9RzwV0siivi6CiYOBPFAt7L+TkearhTxS7b+xGxLUI/Dz5Z/i4+nD2XPlQUaiLiUsC0EgUWs5sKm1dqjAf0TTUpPcCOmlUV1dTUTDwI4qwLmEQERF+v/y7WQ493Su7hxWHVmBuz7lY3Gcx689TDyoKdTADSQBqi0KLmU0ubV1g6WSJwZ0Gy73lP2n/YFK3SXCyZW/KnfrV1VQUDPwks68UXMEr/75idjkKERFh2b5lsLe2x8apG/VYVa0PqChUYSaSANQShRJJNDY2yo0kHL0d0d+zv1wJiIea2C2g03SNJioKBu5FEdIhxCyT2d9f+B4nck5gy4wtcLN3Y+UZukFFoQwzkgSgUhRKJHHr1i1UVVXJ3LGsjeKpr1wMNWm3RhMVBQNdwoNtUaQUpmD1idVYFboK47uM1+u99QsVhSLMTBKAUlEokYSipHW5W7lCSexO2836UJP2K71SUTDwJwoHawcIYAhDL+yIoqq+Cs9EPYOe7Xri87Gf6+We7EJFIQ8zlASgUBRKaiQUSQKewDCvYTKHc5/k4lL+JVYL6HRf6ZWKgoEfUfw14y9YWljiauFVk4wo3j72NnKf5GLH7B2wtTKWpWGoKFpippIAZEQhOqu0RuLy5csyd7BzsUOvrr3kjrPuSdsDOys7TO0+Ve89F6Of/SKoKBj4SWY/rn6MkVtGmtzQ04GbB/Br0q/4Luw79GzXU0/94woqCknMWBKAlCgKJiiskRCJRHKT1hYdLDDSR359xO4buzGpK3tDTfrdL4KKgoF7UbS2b43NMzabVI6ioLwAyw8sx7Tu07AiZIWe+8cVVBRizFwSQJMocrs1H2ohiezsbJSVlclcWdW2Sm4+4m7pXSTeT8ScnnP03Ndm9L/rHBUFA01m6yIKERFh2f5lsBRYYtP0TQY23VVTqCgAE5KE/FVg1cUByH2t+Vsf6bPK8hHyJBGdHg0bSxvWhprY23WOioKBP1FcyLuA/LJ8Tp6pHO1E8dPFn3Ds9jFsmbkF7Rzasdg/rqCiMBlJyF8FVgNyC5q/9vkDkrOe5OUjAMA3wBcejh4yx6PSozDebzxrazWxu3c1FQUDP6K49eoteLt6o7Ku0ugiimsPruG94+/h9UGvs7iJEB+YtyhMRhI6IzX9NQCSs57kRRKWrSwxJmiMzPHCikKcu3sOswNms9JNbvaupqJg4F4UdlZ2IIRgxs4ZRjX0VF1fjWeinoF/G398Oe5LDvvHFeYrCioJMVKS2A/xrCdCzsmVRKN7o9yk9b6MfbAQWLC2Ax27UYQkVBQM3ItCIBDglQGvGFWO4t3Yd3G75DZ2zN4BOys7jvvHFeYpCioJMVI1Ep0gnvV0924YSkpKZNsryEdEpUdhtO9otGnVRu9d5CaKkISKgoEms5WJ4vCtw/g58WesD1uPXu178dQ/rjA/UVBJAAr2kWBmPV2+7CP3kjZd2sDb1Vvq2KOqR4jPiWdtqIm7KEISKgoGfkVx6NYhTp6pHFlRPKh4gOf2P4fJ3SbjlQGv8Ns9zjAvUVBJAEr2kXDAlStT5F4ydNBQmWMHbh6AiIgws8dMvXeR+yhCEioKBn5EkfbftKafKUIIJ89VTLMoCBmH5/aHQyAQ4K/pfxn5dFdNMR9RUEkAKtZsui7b3haYPHCyzOGo9CgM9Roqd8aTrvATRUhCRcHAvSi6tWFqeP64/AcWRi80mKGnny+1xZGsC9g84324O7rz3Cc+MA9RUEkACiVBCJE//dUDGOU7SupQWW0ZYrNjWRlq4jeKkISKgoGfJTzatmqLPWl7DCJHcb3oDt6JvY9XB3pgcjch+Nozm39MXxRUEoBCSdy/fx9FRUUyze29gO5tiqWOHb51GHWNdZgVMEvv3eM/ipCEioLBfJPZNQ01eCbqGXRr0w1fjbsKPvfMNgxMWxRUEoBCSSiqtA7s4wiBYCIkC+6i0qMwoMMAeLl46bVrhhNFSEJFwcCvKIQnhZw8syXvH38fmY8ysWPWDthbtwdfe2YbFqYrCt7fbgwCDSUxZsiLkFxmvKq+CkeyjrAy1GRYUYQkVBQM/Iji8MLDWDV4FSfPk+Ro1lH8ePFHfDXuK/R27/30KPd7ZhsmpikKKglA4T4SciVhBYQPmwfJZcaPZv2AqvoqzO6pX0kYZhQhCRUFA/eiCOsSBjd7N9wtvYtVMas4GXoqqizCsn3LMKHLBLw66NUWZ6koGExPFAb1lsMLcmskGOQlrS06WCC4YzAklxmPTv8Ifdy7oqtbV712zXCjCEmoKBj4SWanPkjF/y79j/UcBSEEyw8sRyNpxJaZW2AhkPfWQUXBYFqioJJQUCPx4MED5OfLrsbp2c0T1pbWT79zQG3DXhy8RTA74C5k9szWAcOPIiShomDgXhRTuk/hJJn9a9KvOHTrEDbP2KxiijcVBYPpiMJg33Y0ReulwhXkI+RtMgQAwf2Dpb4/kZOAstpGzAroDZk9s3XAOKIISagoGPhNZj+3/zm93z/1QSpWxazCf0P+q+by91QUDKYhCpORhNZLhWuYtJ48UrqILiotCt3bdEdgu5OQ2TNbS4wripCEioKBP1Hoe/KEeHXXbm26YX3Yeg2upKJgMH5RGMVbD6sokITcIjpLYO7IuU3fNogasP/mfswOmA2BwBFSe2brIArjiyIkoaJg4EcUM3vMBCEEW1O26mXo6a1jb+H249v4e/bfsLe21/BqKgoG4xYFlYQGkUSrTq3g5ujW9P2p3FN4VP1I4q83iT2ztRSF8UYRklBRMPCTzL724BpeOPiCzjmKfRn78GvSr/gu7DsdVnelomAwXlEY3duP3pEjiZKSEuRKHn+KX6Cf1Pd7M/bC28Ub/T37SxzVTRTGHUVIQkXBwL0o+nr01TmZfa/sHpYfWI6ZPWZiRcgKHXtERcHQUhTGAZWEnBoJRUnrIQOGNH1NCMH+m/sxs8dMOatfaicK04giJKGiYDCuJTwaRY1YFL0I9lb2+HPan3pa3ZWKgkFSFMaBUb8F6YyCGglFe1qHj27+s/5KwRXcK7unZFlwzUVhOlGEJFQUDPyJAtBsifEvz36J03dOIyI8Qs+bZ1FRMIhFYRyYtyQU1EjIndlkAYwaNKrp230Z++Bm74ZhXsOUPEB9UZheFCEJFQUDP6LYNWcXrC2tkf4wXWVEcSHvAj46+RHWDF+D0b6jWegRFQVDKN8dUBuTeRvSCg2S1m7ebrCza967d9/NfZjafSqsLKxUPEQ9UZhmFCEJFQUDP8nsstoyDN88XOnQU2lNKRZGL8SAjgPw0ciPWOwNFYUxQSUh5qkkysrKkJmZKdM0oE9A09dZJVm4XnQdM/1nqvkg5aIw7ShCEioKBu5F4WzrjD+m/aEwR0EIwYrDK1BSXYIds3ZIrCrAFlQUxoJJvhWpjRxJpKSkyG06enBz6L0/Yz/srOwQ1iVMg4cpFoXpRxGSUFEwGFYye+vVrdh5fSc2TtkI39a+nPSHisI4oJIQ81QSipLWk4ZPavp6/839GO83Hg42Dho+UFYU5hNFSEJFwcCfKE7fOY3cJ7kAgFuPbmHlvyuxrN8yPNP7GU760QwVhaFj8m9HSpEjCblJawHQr18/AMxyyefyzimZ1aQKaVHExKSZURQhCRUFAz+iyHo1C13duqKstgwL9ixAB6cO+N+k/3HyfFmoKAwZKglAqkZCniTcfdzRqlUrAMChW4cAANO6T9PhwYwoCOmPtR9WNB01jyhCEioKBu5F4WDjAEIIgn4LQkphCiLCI+Bo48jJs+VDRWGomNVbkhRyaiQqKyuRkZEh0zSof1DT1/sy9mFI5yFo59BOxw44ICYmBpcTBwIAAgLLzCiKkISKgoF7URy7fQzZj7MhEAjwXcJ3vO2Z3QwVhSFiMpLQeKlwOTUSV69ehUgkkmk6dshYAEBlXSVis2M1mNWkGCYX0Tx99pOPX4aFhf72ozAuqCgYuBNFUWURlu5birAuYdg9l/39KNSHisLQMBlJaLxUuLr5CACDBgwCwPzlVdNQgxk9ZmjRQ2mkZzTVIjw8H/rcj8L4oKJgYF8UIiLC0n1LQUCwdeZWzA6Y3TTrKSotipVnagYVhSFhMpLQGA0kIU5a77u5D73a99J5m1LZGU22sLA4DH3tR2G8UFEwsCuKHxN+xNGso9gyY0vTLnPhAeFI+U8K5gXOA6DZMh7sQEVhKFBJAEol0dG3I5ycnNAgasChW4cww1/fUYR4RpPuy4ybBlQUDOyIIrkgGe8dfw9vDHoDk7pNkjoX2D4QAoEAkdcisWjvIjr0RAFAJcHg44OamhrcuHFDplloCLPGytm7Z1FSXaLD1FcG5XURVBQMVBQM+hVFZV0lnol6BoHtA/HluC8Vtmtl3Qq7b+ymOQoKACoJBh8fpKamoqFB9hcidCAjiX0Z+9DRqSOCPYNl2miC6upqKgoGKgoG/Yni9aOvI68sDztn74Stla3CdrosM84OVBR8QiXxtEZCUT6if//+IIRgX8Y+BXtHqI/61dVUFAxUFAy6i2L3jd3YlLwJP038Cf5t/VW2lxTFByc+0OqZ+oWKgi/MUxJyaiQUSSIoKAhXH1zFndI7OucjNFujiYqCgYqCQXtRZD/OxosHX8S8wHl4Puh5ta8LDwjHwWcO4s3Bb2r0PPagouAD85SEnBoJeWs2dfbujNatW2Nfxj642LpgpM9IrR+p3RpNVBQMVBQMmouirrEOC/YsQBv7Nvh96u8aR8ITu06Eh6MHCisK8V7se3ToyQwxT0m0yEfU1dUhNTVVptnAEKYaev/N/ZjcbTJsLG20fqT2K71SUTBQUTBoJooPTnyA5MJk7JyzEy52Llo/NaUwBd8lfEdzFGYIJ5L45Zdf4OvrCzs7OwQHB+PMmTMK2548eRICgUDmQ95yGVrTQhJpaWmoq6uTaRYcHIy80jykFKboNNSk+0qvVBQMVBQM6oniSOYRrL+wHl+O/RIDOw7U6YkTu06kyWwzhXVJ7Nq1C2+88QY++OADJCcnY/jw4Zg0aRLu3r2r9LqbN2+ioKCg6aNbt27661QLSShLWh/OPAxLgSUmdJ2g9eP0s18EFQUDFQWDclHkl+Vjyb4lmNxtst5yCpLJ7KX7ltKCOzOBdUl89913WL58OV544QUEBATghx9+QOfOnfHrr78qva59+/bw8PBo+rC0tNRfp1pIQtEeEkFBQTh06xCGew+Hq52rVo/S734RVBQMVBQM8kXRKGrEor2LYGNpgy0ztsBCoL9fc7EopnSbotNMP/1BRcE2rEqirq4Oly9fRliY9A5uYWFhOH9e+RtcUFAQPD09MXbsWMTHxytsV1tbi7KyMpSXl6vfMTUiiY6dOsKxtSNO5JzA1G5T1b93C/S/6xwVBQMVBYOsKD478xlO5Z5C5KxIPaxWLEt4QDgW9l4IQgh2Xd9Fh55MHFYlUVxcjMbGRri7u0sdd3d3R2FhodxrPD098fvvvyMqKgrR0dHw9/fH2LFjcfr0abntv/jiC7i4uMCvSxf1OyZRI9Hg5ISrV6/KNAkJDsGJ7BOoaajB1O7aSYK9XeeoKBioKBiaRXH6znP4+NTH+L8R/4dRPqNYfWrawzQs2ruI5ihMHE4S1y3DUkKIwlDV398fL774Ivr374/Bgwfjl19+wZQpU7B+/Xq57VevXo3S0lJk376tXmda1EjcvHUL1dXVMs369++PQ7cOoZtbN7WKj+TB7t7VVBQMVBQMH6C4ajUWRm3BMK/O+L+R/8f6EwPbB9JkthnAqiTatm0LS0tLmaihqKhIJrpQRmhoKDIzM+Wes7W1hbOzM5ycnNS7WYsaCaX5iMxDBhhFSEJFwUBFQQjBc/tTUdPQCpGz7sDK4jNOnkuX8DB9WJWEjY0NgoODERsbK3U8NjYWQ4YMUfs+ycnJ8PT01E+n1JzZZNvJFvfL72stCXajCEmoKBjMWxQ/XvwRh24dwpaZu9DJmfs9s3fP2Y2q+ioDkARARaFfrFQ30Y1Vq1Zh8eLFCAkJweDBg/H777/j7t27WLFiBQBmuCg/Px/btm0DAPzwww/w8fFBYGAg6urqsH37dkRFRSEqSk+bobSUxL59Mk08PDxwsewinG2dMcxrmMaPaI4imJeX/b2rxaKYDEYUMQDUl7DpIBbFODCiOApA+wIyY+Hy/ct4N/ZdvBn65tM/asR/2Kx9+vkj1vsQHhDetLZZVkkWfFx9YGXB+tuLEsSimAhGFLEAdKsVMVdY/1+cP38+Hj16hHXr1qGgoAC9evXCv//+C29vbwBAQUGBVM1EXV0d3n77beTn58Pe3h6BgYE4fPgwJk+erJ8OSUhC5OWF5ORkmSb9+/fHwVsHMbHrRK2qrGWjCGutu6s+VBQM5iWKstoyzN8zH33c+7RY/lu8KB93ohAIBKisq8TwzcMxwnsEImdFUlGYAsRUqCwiZD1I6acgAPOZVBbJtnvhBUKYP/ZJTlQUASDz8ca7bxAIQbalbNO4GyIRIcED6sWPIHv26OHfphEVhJARhBBHQsg5rh9uQCQSQlwIIaGEkCf8doUlRCIReWbPM8TpcyeS9ShLQatPCSEghAg561d0WjSxWmdF5v0zj9Q31nP2XMWUEUKGEEKcCSEXee6L8WHiazfJqQiViCQuP3ok96r69vUQQCCzc5c6cJeLUATNUTCYfo5ic8pm/H39b/w+7Xd0cVM0BZz9PbNbQpPZpoWJS+JLyIhCokYi4eZNuVdl2WVhcOfBaNuqrUZP42ZGkzpQUTCYrijSHqZh5b8rsTxoORb0WqCiNX+iOJF9ApmP5M9M5BYqCm0xcUl8D+BDNImiRY3EFTn5iDZt2uDMkzOY1n2axk/jP4qQhIqCwfREUV1fjfl75sO3tS9+mvSTmlfxI4rs17MR0C4A9Y31NKIwUkxcEh+C+cV4KgqJGgmiYPqrdw9vVDVUaTz11XCiCEmoKBhMSxRvxryJrJIs7JqzC62sW2lwJfeicLZ1BgBamW3E8P42xi4rAXyNJlHk5jSdKWvdGk+ePJG9xBPwdvFGYLtAjZ5kWFGEJFQUDKYhin9u/IPfLv+GHyf+iF7te2lxB+5FAQALAhfQHIWRYuKSAIB30CSK3OalPXIVtM5zzMPU7lM1WuHSMKMISagoGIxbFDmPc/DCwRcwL3AeXuz/og53oslsKgr1Mai3MvZ4Korc/U1HrldUyG350PkhpnSbotHdDTeKkISKgsE4RVHfWI8FUdpvQyoLv6KIvBbJyTOVQ0WhDmYiCQB4B8htLqQ5f/++TAs7RzvYtrPVaPVMw48iJKGiYDA+Uaw5sQZXCq7ovA2pNPyIIunFJCzpu4ST56mGikIVBvt2pimb/tqkulGuc9OXx27JLg9u39keo31Hw97aXu3nGkcUIQkVBYPxiOLgzYNYf2E9vhr3lc7bkMrCvSj6evSFQCDAvox9WLx3MR16MnBMRhLLn1+uutHTGgmRow2ySmSXBy91K8WkruoX0BlXFCEJFQWD4YvizpM7WLpvKab7T8ebofrZhlQWfpLZhBDsvL6T5igMHKN4S9MLEjUS5W3krygrchdhYteJat/S+KIISagoGAxXFHWNdZi/Zz6cbZ2xZcYWlrcLpclsKgr5mI8kJGokCmxt5Tbp1KMTurl1U+t2xhtFSEJFwWCYolh9fDWuFFzB7rm70dq+NQdP5FcU78a+y8kzlUNF0RI+l2jkFok1m27V1cmcFtgA00LVn/rKz0qvbEBXj2UwrNVj92fsx3cJ3+GHCT+wkIdQBverx4YHhGPf/H3o7d6b9WepB109VhKj+9tXayQkcUXOwn7EA5js/xhyFwVs2dYkoghJaETBYBgRRe6TXCzbvwzhPcLx2qDXeOgB9xHFlO5T4OXihUdVj7A2bi0dejIgjPqtTSMkJHGtvFzmtEUHAUb77ILUWk8KMO5chCKoKBj4FYU4D+Fq54q/ZvzFch5CGfwksy8XXMZX576iOQoDwiwlkSvndI8+AXCwkVjCQ4EoTC+KkISKgoE/Ubwb+y6SC5Kxe85uuNq5cvZc+XAvirAuYTSZbWCYzNubSlRIYsqIKZBawkOBKEwzipCEioKBe1HsTd+LHy/+iG/DvsWAjgNYf5568JvMXrx3MQhRPQTMLuYtCrNLXFdZWeFxQ4u/TqyARWMWPf3mnaefxTMt1gFgQn7u967mC5rMZuAumZ39OBvP7X8OswNmY+XAlaw8Q3v4SWbvnrMbxVXFPA65SWK+yWzzkIREjUSunNM2nWzQ20NyZoV8UZjOjCZ1oKJgYF8UtQ21mL9nPtq0aoNN0zcZyJtiS/gRhZh9GfswtftUumc2D5jk38EySNRIZLWMIgB0C+wm5xdTeuiJEGLCuQhF0KEnBnaHnt6JfQfXHlzD7jm79bguExvwk8zOfJSJuf/MpTkKnjD5tzkAKvMRY4aOUXBhsyhiYraZeC5CEVQUDOyIYk/aHvzv0v/wXdh3CO4QrJd7sgv3oujWphtNZvMIlQSAZ8KeUXLxOyDka6z90L/piHlEEZJQUTDoVxS3S25j+YHlmNtzLv474L966B9X0CU8zEkUJvNWp3QVWCWSsLCxwIC+ymeSxMS8g8uJoQCAgMD7CA/ne7YFH1BRMOhHFDUNNZi3Zx7atWqHP6b9YaB5CGXwJ4pHVY9Q21DLyTOVYx6iMBlJKF0FVokkOnTtACsrxckw2bqIV2FhobrgzjShomDQXRRvH3sbN4pu4J+5/xh4HkIZ/IgidnEsHGwccOfJHRpRcIDJSEIpSiQxMET57ATZGU2hUFVwZ9pQUTBoL4rdN3ZjQ+IG/DDxBwR5BrHUP67gXhQCgQA1DTUYvnk4HXriALOSRBmAxy1OTRqheP8I+dXVqgvuTB8qCgbNRZH5KBMvHHgB8wPn4z/B/2G5f1zBvSjsrOzw48QfaY6CA0xfEipqJAYOUBxJKK6upqKgohCjvijEeQgPRw/8Pk0f+1QbEjSZbaqiMH1JSNRI5LY4ZWVjhYCAALmXqV6jiYqCikKMeqJ48+ibSH+Yjt1zd8PZ1lluG+OGP1HEZMXgRtENTp6pHNMThelXXCvJRwT0CoC1tfyqafWqqxUv4WE+0MpsBuWV2Tuv78TGyxvx29Tf0M+jHy895AZ+KrNH+YxCa/vWaBQ1goDQymw9YvqRhBJJDB04VO4lmq30SiMKGlGIkR9R3Cy+iRcPvoiFvRfixf4v8tg/ruA+ohDv3PfiwRfp0JOeMWtJhISEyL1E85VeqSioKMRIi6Ky7j5m756NTs6dsHHKRhPLQyiDnyU8pnWfRnMUesasJREcLLsMgvb7RVBRUFGIYURBSBpWHO6LnCc5iJoXBSdbJ747xjE0mW0KojBbSdja2iIwMFCmuW77RVBRUFGICcHvl1/B9mvF+GNaB/Rs15HvDvEEv6L4K/kvTp6pHOMWhdkkrlvWSPTp00cmaa2f/SJoMpsms4HL9y/jtaPf4r8hc7CwdyzY3o/CsOEnmX1h+QX09+zP+rPUw3iT2aYdSYhEIApqJOQNNelv1zkaUZhzRFFSXYI5/8xBX/e++G7CdvC5Z7bhwH1EEdIhBBYCCxy7fQzL9i0zwKEn48C0I4nCBxAoqJFoKQn97zpHIwpzjChERISl+5aitKYUJ5eehK2VLbjc4c6w4T6iAIDKukpEpkaiuqEakbMiDWh6rHFg2pHEnbtNX+a2ONVSEuzsXU0jCnOLKL46+xUO3TqE7bO2w9vVW+IM93tmGyY0md0sCuPAZCQhd6nwO3lNX+ZKHLaxsZFKWms/o0kdqCjMRRTxOfFYG78Wa4evxeRuk+W0oKJg4FcUq2JWcfJM5RjPTDeTGW5a/vxy4NfV0gfvypdE7969YWNj0/Q9+3tX06EnUx96ul9+HwuiFmC0z2gIRwmVtKRDTwz8JLP3zt8L/zb+qhtTmjCZSEIeNTezmr7OlTguOdTEbhQhCY0oTDWiqG+sx/w982FlYYUds3fA0sJSxRU0omDgPqKY2n0qurXphrLaMnx88mMDGHoyfExaEpXpGU1f50ocl5QEO7kIRVBRmKIo1pxYg4R7Cdg9ZzfaO7RX8yoqCgZ+KrMT8xPx6ZlPDSRHYdiYtCQEefcAyNZIiCXBXRQhCRWFKYlib/perL+wHl+P+xpDveSvBaYYKgoG7kUx1m+sgSWzDRfTlYQIcH78BIB0FGFtbY1evXoB4DqKkISKwhREkVWShWX7l2F2wGy8EfqGlnehomDgf9YTIeb4e6gak0lcy1ABWD39T8+VONy7d2/Y2tqyUBehKTSZbczJ7Or6aszZPQfuDu74a8ZfOi7cR5PZDPwks3fP2Y3cJ7lmtPiiZpisJMoKAPG2LrkSx8VDTezPaFIHKgpjFAUhBCsOr8CtR7eQ8EKCnjYQoqJg4EcUYo5mHcU4v3E8F9wZFiY73HQvt/lriS8RHBzMUy5CEXToydiGnn67/Bu2Xd2G36f9jj7uffR4Zzr0xMBPMjvncQ6m/z2d5ihaYLKSeHy/+etciePBwcE85iIUQUVhLKJIuJeA1468hpUDVmJRn0UsPIGKgoF7Ufi29sWuObtoMrsFJiuJ+pLmr3OffrayskJgYC8DiiIkoaIwdFEUVRZhzu45COkQgm8nfMvik6goGPhPZlNRmLAkbMubv859+rlXr144dcrOwKIISagoDFUUDaIGLNizAPWievwz9x/YWNqovkgnqCgY+BPFvbJ7qKqv4uSZhozJSqL90z8AJGsk+vcPNtAoQhIqCkMUxZoTa3D6zmnsnrMbHZ252kCIioKBH1Gcee4MnG2dcb/8vslFFP/884/abQ3uLVJfdH76OVfimL19sAFHEZJQURiSKKLSovDN+W/w9fivMdJnJMdPp6Jg4F4UFgIL1DXWYcTmESY19HT+/Hls3bpV7fYmKwnxYECuxLETcX2bvjbMKEISKgpDEEVGcQaW7V+GeYHz8Gbom5w/n4GKgoF7UdhY2uCb8d+YVI4iMjISzz77rNrtDfptUhPkLhWOZklYWlohI53ZytCwowhJqCj4FEV5bTnCd4Wjs3NnbJq+iediKyoKBprM1oWGhgb8+++/mDFjhtrXmIwklj+/XO7x3KefbWx6ArADYAxRhCRUFHyIghCC5w88j/yyfETPj4ajjSPrz1QNFQUDf6I4fOswkguSOXkmGxw9ehTDhg1Dq1at1L7G5MoKS6ulv899+rm6OgQAn9XVukArs7muzP7uwnfYk7YHUfOi0KNtD9aeozm0MpuBn8rsXO9ctG3VFiIigoiIjK4yOzIyEkuXLtXoGqP5e1pdrhZIf5/b9BWzHIdxRRGS0IiCq4jiZO5JvHf8Pbw39D3MCpjFyjN0g0YUDNxHFG1btQUAvHbkNaMbeqqoqEBCQgLGjRun0XVG+XapjOR70t/nNn0VbES5CEVQUbAtintl9zDvn3kY6TMSn475VK/31i9UFAz8LOEx1ncsLzmKq1evYvHixRg2bBgOHTqEx48f44033sDLL7+M8PBwpKSkKLw2Ojoa06ZNg5WVdPRz9uxZLFmyBIMHD8bhw4chEomwYcMGvPrqq1ixYgVATIXKIkLWg3i3BgFASp9+ACCABQGqyJ49fHdSX3xNCAEhZC0hRMRzX/iighAyghDiSAg5p5c71jbUktA/Q0mn7zqRBxUP9HJP9kkkhLgQQkIJIU/47QqvfEqY3wkhZ0+MTosmVuusyLx/5pH6xnpOnvncc8+R+vp68sknn5B27dqR2bNnk3v37pG4uDhibW1NVq5cqfDasLAwkpCQIHWssbGRLF68mIhEIvLWW2+Rdu3akZUrV5K4uLimNiYRSRBCkHApCYt3AHeeVs4FA1jW1MIGAYFWRh5FSEIjCjYiijePvokrBVewZ+4eDXaY4xsaUTDwO+tpY9JG1p93+/ZtdOjQAVZWVrh//z5KSkqwZs0adOzYEY8ePYKjoyOmTZsm99oHDx7gzp07GDRokNTxxMREBAUFQSAQ4P79+3j48CGmTJmC0aNHNzdiy3hccfnyZdK7d28CgFhaiCMH5sOy6Wtb8v33N/juKgvQiEJfEcWmK5sIhCC/Jf2mr45xDI0oGLiPKC7kXeAkkjh37hy5cuUKIYSQ3r17k5EjR6p97Q8//EA+/PBDmeOnTp0iOTk5hBBCOnXqRCZMmCDTxqglcfLkSWJnZ0csLS2l5CD7ISBOTk7k0qVLfHeZBagodBVFQl4CsfnEhrx04CV9d4xjqCgYuBcFIYSczj1Nnt/3POvCePjwIREIBOSjjz5S+5oBAwaQjIwMheczMzMJALJ+/Xqp4/X19cY73HT79m1MnToVdXV1aGxsVNGaoKqqChMnTkR+fj4n/eMOOvSky9BTYUUhZu2ehWDPYPw06SeW+scVdOiJgZ9k9qPqR9h2bRvryez4+HgQQjBq1Ci12t+6dQuEEPj7+ytsExcXBwAy90xMTDTe2U3ffvstampqIBKJ1Grf2NiI0tJS/Pzzzyz3jA+oKLQRRV1jHebsngMREWHPvD2wtbJluY9cQEXBwL0oZvaYyUlldnx8PGxtbREaGqpWe3WW4YiPj4erqyuCgoKkjp88edI4cxKlpaXE3t5exRCT/A9XV1dSU1PD9z+BJejQkyZDT/899F9ivc6anLurn9lRhgUdemLgb9bTioMrWLl/jx49NMpH+Pv7k4KCAqVtPDw8yPTp02WOjx8/3jiHm/bu3Yvq6mrVDeXw5MkTHDlyRM89MhRoRKFuRPFX8l/4JekX/Dz5ZwzpbNh7amsHjSgY+Jn1FDUvCq8MfEXv9y4sLERGRobaQ00JCQnw8vKCh4eHwjbp6ekoLCyUuWd9fT3Onz9v2MtyEEJQXl4uczzr5F+wsgAa1BtpkkIAIOv4rygbM0b3Dhok/wFQA0YStWB+ScxtCQ8A2AlgDoAwAHsBNE/9S8pPwoqoFVjWexkWdFuAsrIynvrINt0B7AMwA8wyHtEwzyU8XgXzOyF8+nk1608c5TkKAFD4qBC/Jv6K10Nfl7uEh5OTk0YLRz548ADu7u6YN2+eWu3VGWp69OgROnTogFmzpFcXePLkCRwcHCAghBjsn5tlZWVwcTHHH2oKhWIOlJaWwtnZmZV7NzQ0oGvXrkhNTYWTk5PW9zHoSMLJyQmlpbJh8h9r5+Gd/8VoPZjyx/vTMW91hNxzAwYMQGJiolb31fZa9p75I5iI4h1IRhRlZWXo3Lkz8vLytPoBNa7XqBKXL3dBcLAF6hp3Y+qOdch5koPTy07D08lT4VWm9xpdARNRdIe8iEKbZxrja/Trr354+eVHAN6HphGF1q/RmM6wnGuJ6f7T8ef0P6UiCl3evFVx7NgxDBo0SPdnaJQxMRDu3btHLCwEWiWuba0tSUlJicJ7BwQEaN0vba9l95myyezS0lJm6ZLSUpaeqf9rdXlm//7+hJAR5L+HrIn1Oiu1EtWm+RopTmZr80zjfY20S2br8hptv7y9aQmPRlGjxvfRhoULF5L9+/frfB+jTFx37NgRM2eGw8pSs+5bWVrg2cVL0bp1a4VtXnlF+2STttey+0z9J7ON7TV6/vlX8VfyAvySVI+fJ1tiSGfV1+iKYb5GipPZuvRXW/h7jbRLZuvS32ldp2H3nN3o3b43LATsv+1WVlbi7NmzmDRpku4304OweOH8+fNEINAsmrCysiJXr17lu+s80RxRlJY+0ekvQGOjuaL6OaLu9Fhd/0o2bPQzPdb4XyP2p8cqeo1OZJ9g7ZmEEBIREUFWrNDPFFyjjCQAYPDgwdi4Ub1FtQQCAAKg8zILeHU310R4c0TRqtWX+OijD2FrawrFY8qRrqj+FeoW3Nna2uKjjz4y0ddIP9Njjf81Yn96rLzX6F7ZPUyK1MNf+Eo4deoUlixZop+b6UU1PBIZGUns7e2JQAAiaBE5WAiYz46OjuS7zW8Rt68EJOT3VuRxdS7f3eYR8ym4q22oJcP+GkY81nuQ/LJ8iTP6X2bcOKEFdwz8FNwZC0YvCUKYkO7nn38m/l5tpSTRy689+eOPP0hFRQUhhJDkgr+pKAgh5iAKkUhEXjrwkpKKaioKBioKBn4WBTQGTEISkhQdfpcAIA//fU/uebEoVh11J4Q85rRvhoVpi2LDpQ0EQpBNVzYpaUVFwUBFwUBFIQ+DLqbTBnEBnrIilYziaPi4vgA7qy4AYgG4ctlFA+IbAO+C2Ux+HUylMjsuJw5hEWFYOXAlfpj4g4rWlQAmg6kjiAFgikt0qEMSmKrsAABHYZ6V2QDwGZjfByGAj/jtioFgtIlrXejRdhbsrE7gauEtTIr0xuPqXL67xBOmt9bT7ZLbmPvPXIzxHYP1YevVuILdPbONB7rWEwM/y4wbMmYpCYYgiMhGXMovR9j2QBlRpKam4r333sPw4cMxZMgQDB8+HH369MHEiRPx119/oaGBu83PteGXX36Br68v7OzsEBwcjDNnziho+Q5u3/4PgE/xyScWEAgETR8ZGRlcdllnymrLMH3ndLjZu2HXnF1y18oRc/r0aUybNg0dOnSAQOCIgwdfhipRnDp1CsHBwbCzs4Ofn5/as+uMB2lRnDv3r8RrJMC+ffuUXn3y5Empnx9j/TlSVxRffPEFBgwYACcnJ7Rv3x4zZ87EzZs3Vd7d6H6O+B7v0jeazt2+cn9HUzK7pCqHpKenkylTppA2bdqQ7777jjx8+LCprUgkIgcOHCCenp6kV69eJDs7m61/hk7s3LmTWFtbkz/++IOkpaWR119/nTg4OJA7d+7IbR8fH0/efhuEEJDy8jdIQcF9UlBQQBoaGrjtuA40NDaQaTumEecvnEn6w3SV7f/991/ywQcfkKioKAKA7N27lyjLUWRnZ5NWrVqR119/naSlpZE//viDWFtbkz179rDwr+EbJkdRUtKDrFv3VovXSDHx8fEEALl58yYpKCho+jCmnyNplOcoJkyYQDZv3kyuX79OUlJSyJQpU4iXl1fTRBl5GOPPkdlLgpBmUXRfYkvs7OzI+PHjSXFxscL2WVlZxNHRkXh5eUlJxFAYOHCgTCFNjx49yPvvvy+3vfiXu6rqY2KsyezVx1cTgVBA/r31r8bXSr8ByhfFu+++S3r06CF13X/+8x8SGhqqbZcNHOlktiaSePz4Meu94w71k9lFRUUEADl16pTCNsb4c2TGw03NBHk+g0m3J+LWtlpMmGCHI0f+Rps2bRS279KlC1atWoW7d+/inXfe4bCnqqmrq8Ply5cRFhYmdTwsLAznzysfb+/ZczPWrXMC8Clyc5fAWHIUf6f+jS/OfoGvx3+NSd10LVKSn6O4cOGCzGs6YcIEJCUlob6+XsdnGiLSQ0+arN8XFBQET09PjB07FvHx8Sz1jyvUz1GIFyN1c3NT2MYYf45MRhIbNmxAz549MWDAAI2v/fDDDxH5+xH07OmHrRHAhyd74UnNHaXXiNde3759O4qLi7XqMxsUFxejsbER7u7uUsfd3d1RWFgo9xpPT0/8/vvviIqKwvjxMYiODoWPz3bcubMMhi6KxPxEPH/geSzusxhvDX5LT3eVFUVhYaHc17ShocGg/v/1S7Mojh4FrKwqlbaW/DmKjo6Gv78/xo4di9OnT3PSW/ZQLQpCCFatWoVhw4ahV69eCu9kjD9HBr1UuCa88soreOWVVzTeg+Lw4cP45JNPYGFhgT//3I6iuiJsvByOY9k9Ebs4Da523nKv69q1KwBmzfb4+HjMnTtXL/8OfdFyIxNCiMLNTfz9/Vtskn4Bf/3VE88/vw2AFwx1emxBeQFm7pqJvu598fu03zXavEU1YlFMBjABQUGucl9TQPa1Ni0YUQQEDIBItA7AVCiaHtvy52jw4MHIy8vD+vXrMWLECE56yx4fPP289uln6emxK1euxLVr13D27FmVdzK2nyOTiSS0oby8HC+88AIAIDw8HIMHD0a3NjNwYskOZD+uxviIngojCiJRXnLnjvKog0vatm0LS0tLmaihqKhI5i8YZRQUPItvvmkHQ50eW9NQg/Bd4QCAvfP3ws7KjoWnNEcUmzcXwM4uWepsUVERrKyslA5NmgYhGDcOcHK6B02nx4aGhiIzM5O1nnGL/Iji1VdfxYEDBxAfH49OnTopvYOHh4fc301D/jkya0l89913Tf9hkrmFfh4LpERRWZcvc21RUVHT15aWlux3Vk1sbGwQHByM2NhYqeOxsbEYMkT9QrHk5GQcOdILhlhHQQjBSwdfwtUHV7Fv/j6lmwfpDiOKwkJPvPRSFCSnxx47dgwhISGwtrZm8fmGweXLwLlzH0PTOork5GR4erL5/8M1zaIgRIiVK1ciOjoacXFx8PX1VXn14MGDZX43Df7niM+sORuoO7upvr6euLu7EwDEz89Pbpvkgr/JmuN2RCQKJi2X8IiOjm5aI+qff/7RU+/1g3gK7KZNm0haWhp54403iIODA8nNZdarev/998nixYub2n///fdk79695NatW+T69evk/fffJwBIVFTU0xaGtYTHN+e+IRCCRF6L1Poe5eXlJDk5mSQnJxMA5LvvviPJyclN04RbvkY5OdfJ6dMWpLramuTkRJJNmzYZ/NRFXZH3GmVkbCeNjc6EkFDy0UdvaPhzZEows54+/9yWnDx5UmrKb1VVVVOrlj9H4imwb775JklLSzOKnyOzlcSJEyea3uRff/11JS2vEELcSOzt7qSkKqfp6BtvvNF0fWZmpj66rlc2bNhAvL29iY2NDenfv7/UtLylS5eSkSNHNn3/1VdfkS5duhA7OzvSunVrMmzYMHL48OEWdzQMURy+dZgIhAKy+vhqne4jnq7Z8mPp0qWEENnXiBBCTp8+QpKSHElZGcisWR7k119/1akPho6i1+ijj6YQQlxIZmY7Mnny0Kb26v0cmQ5r1jC1RR9+KP36bN68uamNvJ+jkydPkqCgIGJjY0N8fHwM/ufIbCXx6aefNv2nRkREKG1bUXuOeKxvLrhrbGwkXl5eBAAJDg7WZ/cNHH5FkVaURpy/cCbTdkzjbAtIWeiigAx0UUAG018U0GxzEvn5zXmGbt26KW3rYDME/y6MRPbjaoRtD0T0oQjcvXsXAPDiiy+y2k/Dgr+1nh5WPsSUHVPQ2bkzts/azskWkPKhaz0x0LWeGEx/rSezlYSVVfPsX2XFL2KCPJ/B8cWMKJ57+3kAQM+ePbF8+XLW+miYcC+K2oZahO8KR2V9JQ4tPARnWw0qu1iBioKBioLBtEVhtpLw8vJq+rqurk6ta4I8n8EHbd9ARaYIVlbAr79+LSUb84E7URBC8MLBF5B0Pwn7F+yHj6sPa8/SDCoKBioKBtMVhdlKQrI0Pj09Xa1rCgsLsX7tTgDATz+1Qq8Ba1VWZpsu3Iji09OfYvu17dg6cytCO4Wy8gztoaJgoKJgMFFR8J0U0TeaLPA3dOhQAoDMmzdPZdvKykoybNgwIhAIyKeffkoIuULGbbOiW6GymMzembqTQAiy7uQ6vd5X/9BkNgNNZjOYVjLbrCWRmZlJnJyciIWFBTl//rzCdgUFBSQkJIS0atWK/P33303H6Z7ZYvQvigt5F4jtJ7ZkUfQiIhLxX5uhGioKBioKBtMRhVlLghBCkpKSiK+vL2nXrh05ePCg1BtSeXk5+eWXX4i7uzuZP38+ycvLk7meikKM/kSR8ziHtP+mPRm6aSipqa/RR+c4goqCgYqCwTREYTJ7XG/YsAEbNmxAY2Mjbt26pXSP65aUl5cjMjISO3fuREVFBRwcHCAQCCASiTB06FAsXrwYPXv2VHh9SuFOjI9YiI1T/DC7ZxLontna75ldWlOKoX8NRXVDNRKWJ6CdQzs995Ft6J7ZDHTPbAbj3zPbZCQhRrwKrCaS0AdPak7D1S4cgB9qGw7B1kr9xfRMC+1F0SBqwNQdU5FwLwEJLySgR9seLPWRbagoGKgoGIxbFGY7u0nfuNqNAHAcPySkYdhmP5k9s80H7Wc9vXH0DRzPPo498/YYsSAAOutJDJ31xGDcs56oJPRKEEZ6/9lUmU1Fob4o/nfxf9iQuAG/TPkF4/zGsdw/LqCiYKCiYDBeUVBJ6BnJymwqCvVE8W/mv3gj5g2sCl2Fl4Jf4qh/XEBFwUBFwWCcoqCSYAFJUfxf/EAAT/juEk+oFkXqg1Qs2LMAU7tPxdfjv+a4f1xARcFARcEgKQrjgCauWSTtYRS8XF6Eo00XALGgs56kk9mFFYUY9OcguNm74cxzZ+Bo48hjH9mGJrMZaDKb4XMAa/juhFrQSIJFerabDUebE8gozsT0v33oEh4SEUVlXSWm/z0dDaIGHHzmoIkLAqARhRgaUTAYhyAAKgkOCEJNw0acyytTume26dMsigbRWiyIWoD04nQceuYQOjkr3xfYdKCiYKCiMCaoJDig5Z7Z5iwKQr7CK4c/x5HMw9gz9x8EeQbx3SmOoaJgoKIwFqgkOEJSFDN39gIhj/nuEi98cbYBv18B/phGMKHrOXC5cZHhQEXBQEVhDJjjZgi8wYgCeFz9EgSCMJhbMnvb1W34IO4DfDzqYzwXZA8mmQ1ou4SHcSMWxWQwojDXZLZYFOPAiMKck9mGCY0kOKafxwKM9j2FRtFtrDsVaDZDT7G3Y7H8wHIsD1qO/xvxf+BzK1TDgUYUDDSiMGSoJHghCLlPtuDHiwVmkaO4WngVs3fPxni/8fh1yq8QCMRRAxUFFYUYKgpDhUqCJ7q4TW8quDNlUdwtvYvJOyajW5tu2D13N6wtrVu0oKKgohBDRWGImIwkNmzYgJ49e2LAgAF8d0VtJCuzx0f0RHltHt9d0iuPqx9jUuQk2Fja4PDCw0pqIagoqCjEUFEYGrTi2gBILvgb264+h28n9IKF4DhMIZld21CLCdsnILUoFeefPw//tv5qXKX7fhTGD63MZqCV2YaCyUQSxkyQ5zP4fuIFWAhycPZuqNEPPYmICMv2L0PCvQQcWHBATUEANKIAaEQhhkYUhgKVhMEQhJqGw1iw55bR5yjeP/4+dl3fhchZkRjqNVTDq6koqCjEUFEYAlQSBoSdVSgOLTTuyuz/Xfwfvjn/DX6Y+ANm95yt5V2oKKgoxFBR8A2VhIFhzEt47E3fi9ePvo63Br+F1wa9puPdqCioKMRQUfAJlYQBIhZFXWMtHlVNhTHsR3E+7zwWRi/E3MC5etwXgoqCikIMFQVf0NlNBoyIXIaFIAxltd4Qkb1wtfPmu0tyuVF0A8M3D0cf9z44uugo7Kzs9PwEOuuJznoSQ2c9cQ2NJAwYC0EwgON4Nvq6wQ493XlyB2Hbw+Dl4oX9C/azIAiARhQAjSjE0IiCa6gkDJ4grBu11SBzFA8rHyJsexjsrexxdNFRuNix+VcdFQUVhRgqCi6hkjACWlZmG4IoymvLMSlyEspqy3Bs8TF4OHpw8FQqCioKMVQUXEElYSRIiuLQrdHgM5ld21CLmbtmIqskC0efPQq/1n4cPp2KgopCDBUFF9DEtZFRXBWHtq3mAvBDfeO/sLZsx+nzG0WNmL9nPg5nHsaxRccw3Hs4p89vhiazaTJbDE1mswmNJIyMtq3GADiO3y+nYehfPpwOPRFC8Mq/r2Bfxj7smrOLR0EANKIAaEQhhkYUbGIykjDGVWC1JwgDO27CbY5zFB/EfYDfLv+GP6b9gen+0zl5pnKoKKgoxFBRsAUdbjJiUgp3Yuy2hfBrbY/YxWms1lF8ceYLrIlbg+/CvsObg99k7TnaQYee6NCTGDr0pG9MJpIwRySX8Hg3NgRsJbM3XNqANXFrIBwpNEBBADSiAGhEIYZGFPqGRhImwPWif9DJ+SW42nUFEAt97kexNWUrlu1fhlWhq7A+bL3E1qOGCI0oaEQhhkYU+oJGEiZAr/Zz4WoXh5zHmZi921dvOYqotCg8f+B5vBD0ghEIAqARBUAjCjE0otAXVBImQxBKazfiZG6pXpLZMVkxeCbqGcztORcbp240AkGIoaKgohBDRaEPqCRMiH4eC/RSmX3mzhmE7wrHhK4TEBEeAUsLSz33lG2oKKgoxFBR6AqVhIkhWZk97e9eIOSxRtdfyr+EqX9PRWinUOyesxvWltYs9ZRtqCioKMRQUegClYQJIhbFmmGAQBAGdWc9Xcq/hPER49GrfS/sX7Af9tb2rPaTfagoqCjEUFFoC5WEiRLk+QwmdTsNEbmNb871Vjn0JCmIo88ehZOtE0c9ZRsqCioKMVQU2kAlYdIEIa80Al+ey1eao0jMT0RYRJgJCkIMFQUVhRgqCk1hVRKPHz/G4sWL4eLiAhcXFyxevBhPnjxRes2yZcsgEAikPkJDQ9nspknj7TpF6Z7ZifmJGB8xHj3b9cSRZ4+YoCDEUFFQUYihotAEViWxcOFCpKSk4OjRozh69ChSUlKwePFilddNnDgRBQUFTR///vsvm900eSQrs8dH9ERZ7V0A0oI4uugonG1NvfiQioKKQgwVhbpYsXXj9PR0HD16FAkJCRg0aBAA4I8//sDgwYNx8+ZN+Pv7K7zW1tYWHh5cbGJjPjCiADYmLUMr61lIuv8NxkeEm5EgxLzz9PO7Tz+bY2W2WBSTwYjCXCuzxaIYB0YUtDJbHqxFEhcuXICLi0uTIAAgNDQULi4uOH9e+V8vJ0+eRPv27dG9e3e8+OKLKCoqUti2trYWZWVlUh8U+fTzWICNUy8gpTATo7aMQ7c2fmYmCDE0oqARhRgaUaiCNUkUFhaiffv2Msfbt2+PwsJChddNmjQJkZGRiIuLw7fffovExESMGTMGtbW1ctt/8cUXTTkPFxcXdO7cWW//BlMk6X4jxm0ToV4kQqPoJkQa1lGYDlQUVBRiqCiUobEkhEKhTGK55UdSUhIAyF3KgRCidImH+fPnY8qUKejVqxemTZuGI0eO4NatWzh8+LDc9qtXr0ZpaWnTR15enqb/JLPh8v3LGB8xHgHteiF28R+4U2o4e2bzAxUFFYUYKgpFaJyTWLlyJRYsWKC0jY+PD65du4YHDx7InHv48CHc3d3Vfp6npye8vb2RmZkp97ytrS1sbW3Vvp+5cvn+ZYyLGAf/Nv44+uxRuNi54PhiB4yLeBbjI3qyvh+F4UJzFDRHIYbmKOShsSTatm2Ltm3bqmw3ePBglJaW4tKlSxg4cCAA4OLFiygtLcWQIer/AD569Ah5eXnw9PTUtKuUp0gKImZRDFzsmB98pjIbWBi9CAXlU+Bqdxb6XGbceKCioKIQQ0UhA2GRiRMnkj59+pALFy6QCxcukN69e5OpU6dKtfH39yfR0dGEEELKy8vJW2+9Rc6fP09ycnJIfHw8GTx4MOnYsSMpKytT65mlpaUEACktLdX7v8cYuXz/Mmn9ZWsy6I9B5En1E7ltGhoTCSFupLIuiDyuzuW2gwbF14QQEELWEkJEPPeFLyoIISMIIY6EkHM894VPEgkhLoSQUEKI/N8bc4HVOonIyEj07t0bYWFhCAsLQ58+fRARESHV5ubNmygtZcb/LC0tkZqaihkzZqB79+5YunQpunfvjgsXLsDJyVSLvNjjSsEVjNs2Dt3adJOKIFpiacH89bRs3w2ao6A5CtAcBUBzFM3QnelMFElBHFt0TKEgJOFyz2zDhu5wR3e4E0N3uKNrN5kgyQXJGLdtHLq6dVUaQbSkZWU2jShoREEjChpRUEmYGMkFyRi7bSy6unXFscXH4GrnqtH1kqLYkzYS6i4zbnpQUVBRiDFvUdDhJhMiuSAZ4yLGoUvrLloJQpLCilh4OC4A4IcG0RFYWaie0Waa0KEnOvQkxjyHnmgkYSKkFKZgXMQ4+LX201kQAODhOB7AcWy/lo5hf/nQoScaUYBGFOYZUVBJmAAphSkYu20s/Fr7IXZxrM6CaCYIge3+QGZJFc1RUFGAigIwR1FQSRg5koI4tkj3CKIlkntmU1FQUVBRAOYmCioJI+Zq4VWM3TYWvq6+OLboGFrbt2blOZKieP1oMGgym4qCisJ8REET10aKWBA+rj6IXRzLmiAkufZgFzwdV6CdQ1cAsTDPJTwAmswGaDJbjOkns00mktiwYQN69uyJAQMG8N0V1uFDEADQx30+2jnEIb8sC89EdaFDTzSiAI0oTD+ioJGEkXHtwTWM2ToG3q7eOL74OGeCkO7DLoze+gytzKYRBWhEIcZ0IwqTiSTMAUMQBMBEFLQyG6ARBUAjCjGmG1FQSRgJ1x5cw9htY+Hl4sXpEJMiJCuzJ0cGQkRKeO0Pf1BRUFGIMU1RUEkYAakPUjF221h0du6M40uOw83eje8uAWgWxdtDBLAQTACd9URFQUVheqKgkjBwUh+kYsy2MQYnCDH9PBZgVsBpEHIb/7vYhw49UVGAisK0REElYcAYuiCaCUJ++Q4IT92jOQoqClBRAKYkCioJA+V60XWM2TYGnZw7GbggGDo5T6SV2QCoKAAqCjGmIQoqCQPketF1jN46mhHEYsMXhJiWS3iUUlGAioKKwthFQSVhYFwvuo4xW8c0CaJNqzZ8d0kjxKIIaNsAO6tZoMlsKgoqCuMWBS2mMyBuFN3A6K2j0cGpA04sOWF0gpAmGcA4XC30gLfrv7TgjhbcgRbcGWfBHY0kDATTEgQABKFBdBSzd2fQHAWNKEAjCkA2ojAOqCQMgBtFNzBm2xh0cOqA40uMb4hJEVYWA7BnHk1mU1EAVBRiJEVhHFBJ8EzawzSM2TYGHo4eOL7kONq2Mq1tQiUrs6koqCioKIBmURgHJiMJY1wFNu1hGkZvHQ0PRw+cWHLC5AQhRiyKx9U1uPNkMmgym4qCiiKE7w6oDU1c84RYEO4O7ohbGmeygpCkQZQIK4uJqG3wQU1DNFxoMhs0mW3uyWzDx2QiCWMi7WEaxmwdY1aCAJgcBXAcLx68jnF06Ak0oqARhTFAJcEx6Q/TMWbrGLR3aG/SQ0yKCcKboVtojoKKAlQUxgGVBIekP0zH6K2jmwTRzqEd313ihZaV2VQUVBRUFIYLlQRHZBRnYPTW0Wjn0M6sBSFGUhQRV4eDJrOpKKgoDBOauOaAjOIMjNoyCu0c2iFuSZzZC0KSe2VH0dFpIQSCLhCRGFgIjGOdKv1Dk9k0mW2Y0EiCZWgEoZxOzhMhEJxAdHoGhv3lRYeeaEQBGlEYFlQSLCIWRBv7Njix5ATaO7Tnu0sGShD8Wv+Bm4+qaI6CigJUFIYFlQRL3Cy+2SSIuKVxVBAqoJXZYqgoqCgMCyoJFrhZfBOjto6igtAQSVG8fLg/aDKbioKKgn+s+O6AqSGOINzs3aggtKCfxwLELxWgjf0KAOMBxAJw5bdTvPDO08/vPv1sjslssSgmgxEFTWbzAY0k9IhYEK3tWyNuCRWEtvRxn4+OznF4WJmFpfu60qEnGlGARhT8QSWhJ249uiUlCHdHd767ZOQEoaBiIw7dKqE5CioKUFHwB5WEHhALwtXOlQpCj/Rxn08rswFQUQBUFPxhMpLga6nwzEeZGL11NFxsXRC/NJ4KQs9IVmZP3B6IBlEx313iCSoKKgp+oBXXOpD5KBOjto6Ci60L4pbGwcPRg9XnmTPJBX/jxsMXsahPAMw3mQ3QymyAVmZzi8lEElwjFoSzrTMVBAcEeT6DRX3OAMjGn1f60aEnGlGARhTcQCWhBeIhJmdbZ8QvjaeC4IwgFFbsxHvH79IcBRUFqCi4gUpCQ7JKsjB662g42TpRQfCAh+N4WpkNgIoCoKLgBioJDcgqycKoLaPgZOuEuCV0iIkv6BIeYqgoqCjYh0pCTcSCcLRxRNySOHg6efLdJbNGLApf1wbYWIaDLuFBRUFFwQ50dpMa3C65jVFbR8HB2gHxS+OpIAyKFABjkf7QE55Oh+Fq5813h3iCznqis57YgUqCQqFQKAoxOUkQQlBeXg4nJycIBOb41xSFQqHoD5OTBIVCoVD0B01cUygUCkUhVBIUCoVCUQiVBIVCoVAUQiVBoVAoFIVQSVAoFApFIVQSFAqFQlEIlQSFQqFQFPL/APpc9KnTZIUAAAAASUVORK5CYII=", "text/plain": [ "Graphics object consisting of 96 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = graph_wo_points\n", "graph += circle((0,0), 0.05, fill=True, color='black') \\\n", " + text(r\"$O$\", (0.12, -0.15), fontsize=20, color='black')\n", "show(graph, aspect_ratio=1, ymin=-0.8, ymax=2, xmax=2, \n", "#show(graph, aspect_ratio=0.05, ymin=0.5, ymax=3, xmax=0.2, \n", " axes_labels=[r'$r/m$', r'$t/m$'])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 10.3.beta1", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" }, "toc-autonumbering": false, "toc-showcode": false, "toc-showmarkdowntxt": false }, "nbformat": 4, "nbformat_minor": 4 }