{ "cells": [ { "cell_type": "markdown", "id": "9a8e2211", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Poisson Equation (Steady-State Diffusive Equation)\n", "\n", "The Poisson is partial differential equation employed to represent problems as the pressure distribution over steady-state in space. It is characterized by a steady-state version of the difusive equation, i.e, the parameter is independent of time. The partial differential equation is given by \n", "\n", "$$\n", "\\partial_{\\alpha}\\left( \\nu \\partial_{\\alpha}p \\right) = 0\n", "$$(poisson-eq-lb)\n", "\n", "where $p$ is the pressure and $\\nu$ diffusive control paremeter." ] }, { "cell_type": "markdown", "id": "84678d92-c23d-42a7-8e44-d1920f88d262", "metadata": {}, "source": [ "## Numerical Discretization\n", "\n", "```{figure} mesh-1-diffusive-steady.svg\n", "---\n", "scale: 250%\n", "align: center\n", "name: mesh-1-diffusive-steady\n", "---\n", "1D regular grid example for diffusive equation.\n", "```" ] }, { "cell_type": "markdown", "id": "877ea82f-f503-4d55-81e2-9381fe204a3e", "metadata": {}, "source": [ "### FDM Discretization\n", "\n", "Discretizing the Eq. {eq}`df-eq-lb` through finite diference method, we have for forward time and central space (FTCS) discretizations:\n", "\n", "$$\n", "\\partial_{\\alpha}\\left( \\nu \\partial_{\\alpha}p \\right) = \\nu\\frac{ p(x - \\Delta_{x},t) -2p(x,t) + p(x + \\Delta_{x},t) }{\\Delta_{x}^{2}} =0,\n", "$$\n", "\n", "for $\\nu$ constant and isolating the term $u(x,t + \\Delta_{t})$, we can describe the $p$ time evolution:\n", "\n", "$$\n", "p(x,t) = \\frac{ p(x - \\Delta_{x},t) + p(x + \\Delta_{x},t) }{2} .\n", "$$" ] }, { "cell_type": "markdown", "id": "dbf33e48-d189-4ae1-bd4d-3c39a12e5035", "metadata": {}, "source": [ "### Lattice Boltzmann Equation\n", "\n", "Describing the problem through the BGK lattice Boltzmann equation (BGK-LB) for the lattice D1Q3:\n", "\n", "$$\n", "f_i( x_{\\alpha} + c_{i,\\alpha} \\delta t, t'+\\delta t) = f_i(x_{\\alpha}, t') -\\left( \\frac{ f_{i} - f_{i}^{eq} }{ \\tau } \\right), \n", "$$(LB-Poisson-Eq)\n", "\n", "the equilibrium distribution function is defined by\n", "\n", "$$\n", "f^{eq}_{i} = \\left\\{ \\begin{array}{ll}\n", " \\left(w_{0} - 1\\right)\\widehat{p}(x_{\\alpha}, t') & i=0 \\\\\n", " w_{i}\\widehat{p}(x_{\\alpha}, t') & i\\neq 0\n", "\\end{array} \\right. ,\n", "$$\n", "\n", "where $\\widehat{p}$ is a shifted pressure, shifted by a reference constant pressure $p_{0}$, i.e., $p=p_{0}+\\widehat{p}$ (This assumption is necessary due to pressure by definition can not be negative, but negative pressure values can be found depending of initial simulation set). The equilibrium moments are given by \n", "\n", "$$\n", "\\displaystyle\\sum_{i=0} f_{i}^{eq}=0, \\quad \\quad \\frac{1}{1-w_{0}}\\displaystyle\\sum_{i=1} f_{i}^{eq} = \\frac{1}{1-w_{0}} \\displaystyle\\sum_{i=1} f_{i}=\\widehat{p}, \\quad \\quad \\displaystyle\\sum_{i}f_{i}^{eq} c_{i,\\alpha} =0 \\quad \\quad \\textrm{and} \\quad \\quad \\displaystyle\\sum_{i}f_{i}^{eq} c_{i,\\alpha} c_{i,\\beta} =c_{s}^{2} \\widehat{p} \\delta_{\\alpha\\beta} .\n", "$$(moments-fi)\n", "\n", "Through Chapman–Enskog analysis, it is demonstrated that the first-order non-equilibrium moment describes the pressure gradient and, consequently, the average velocity:\n", "\n", "$$\n", "m^{neq}_{\\alpha} = \\displaystyle\\sum_{i} c_{i,\\alpha}\\left( f_i-f_i^{eq}\\right) = -(c_{s}^{2} \\tau \\delta_{t})\\partial_{\\alpha}\\widehat{p} \\quad \\quad \\textrm{and} \\quad\\quad \\tau = \\displaystyle\\frac{\\nu}{c_{s}^{2} \\delta_{t}} +\\frac{1}{2}.\n", "$$" ] }, { "cell_type": "markdown", "id": "d5c5668b-0559-426f-9f1d-eacdc3eac4e8", "metadata": {}, "source": [ "#### Lattice Direction Moments" ] }, { "cell_type": "code", "execution_count": 1, "id": "31958af6-d079-41e8-92d0-44e575b8d8f9", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "from pylab import *\n", "from __future__ import division\n", "from sympy import *\n", "import numpy as np\n", "from sympy import S, collect, expand, factor, Wild\n", "from sympy import fraction, Rational, Symbol\n", "from sympy import symbols, sqrt, Rational\n", "import sympy as sp\n", "from IPython.display import display, Math, Latex\n", "#-------------------------------------------------Símbolos----------------------------------------------\n", "omega, p, w = symbols('omega, \\widehat{p}, w')\n", "wi, cx, cy, cs = symbols('w_{i} c_{x} c_{y} c_{s}')\n", "fi, f0, f1, f2, f3, f4, f5, f6, f7, f8, = symbols('f_{i} f_{0} f_{1} f_{2} f_{3} f_{4} f_{5} f_{6} f_{7} f_{8}')\n", "#-------------------------------------------------Funções----------------------------------------------\n", "feq = Function('feq')(wi, cx, cy)\n", "fneq = Function('fneq')(wi, cx, cy)\n", "f = Function('f')(fi)\n", "#-------------------------------------------------Variáveis----------------------------------------------\n", "fi=np.array([f1,f2,f3,f4,f5,f6,f7,f8])\n", "w0=Rational(4,9);w1=Rational(1,9);w2=Rational(1,36)\n", "wi=np.array([w0,w1,w1,w1,w1,w2,w2,w2,w2])\n", "cx=np.array([0,1,0,-1,0,1,-1,-1,1])\n", "cy=np.array([0,0,1,0,-1,1,1,-1,-1])\n", "as2=Rational(3)\n", "cs2=1/as2\n", "#-------------------------------------------------Calc.Func------------------------------------------------\n", "f= fi\n", "feq=wi*p\n", "feq[0]=(w0-1)*p" ] }, { "cell_type": "code", "execution_count": 2, "id": "101dbaeb-38c6-4241-9ba9-14accc9c9836", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Moment}} =0,\\quad \\quad \\underbrace{\\frac{1}{1-w_{0}}\\sum_{i=1} f_{i}^{eq} = \\frac{1}{1-w_{0}}\\sum_{i=1} f_{i} }_{\\textrm{Zero-Order Moment}} =\\widehat{p},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x} }_{\\textrm{x-First-Order Moment}} =0,\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,y} }_{\\textrm{y-First-Order Moment}} =0,\\\\ \\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x}c_{i,x} }_{\\textrm{xx-Second-Order Moment}} =\\frac{\\widehat{p}}{3},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x}c_{i,y} }_{\\textrm{xy-Second-Order Moment}} =0 \\quad \\quad and \\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,y}c_{i,y} }_{\\textrm{yy-Second-Order Moment}} =\\frac{\\widehat{p}}{3}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a00=simplify(sum(feq))\n", "a0=simplify(sum(feq[1:]))/(1-w0)\n", "ax=simplify(sum(feq*cx))\n", "ay=simplify(sum(feq*cy))\n", "axx=simplify(sum(feq*cx*cx))\n", "axy=simplify(sum(feq*cx*cy))\n", "ayy=simplify(sum(feq*cy*cy))\n", "\n", "display(Math(r\"\\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Moment}} =\" + sp.latex(a00)\n", " +r\",\\quad \\quad \\underbrace{\\frac{1}{1-w_{0}}\\sum_{i=1} f_{i}^{eq} = \\frac{1}{1-w_{0}}\\sum_{i=1} f_{i} }_{\\textrm{Zero-Order Moment}} =\" + sp.latex(a0)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x} }_{\\textrm{x-First-Order Moment}} =\" + sp.latex(ax)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,y} }_{\\textrm{y-First-Order Moment}} =\" + sp.latex(ay)\n", " +r\",\\\\ \\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x}c_{i,x} }_{\\textrm{xx-Second-Order Moment}} =\" + sp.latex(axx)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x}c_{i,y} }_{\\textrm{xy-Second-Order Moment}} =\" + sp.latex(axy)\n", " +r\" \\quad \\quad and \\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,y}c_{i,y} }_{\\textrm{yy-Second-Order Moment}} =\" + sp.latex(ayy)))" ] }, { "cell_type": "markdown", "id": "05d52e5c-de34-4f25-8bf2-99be1d5a35bd", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### Chapmann-Enskog Analysis\n", "```{toggle}\n", "Applying the Chapmann-Enskog procedure to LB equation, we expand the term $f_{i}\\left(\\boldsymbol{x}+\\boldsymbol{e}_i \\Delta t, t+\\Delta t\\right)$ in a Taylor series to recover the derivative form of the equation, i.e.,\n", "\n", "$$\n", "f_{i}\\left(x_{\\alpha} + c_{i,\\alpha} \\Delta t, t+\\Delta t\\right)- f_{i}(\\boldsymbol{x}, t)=\\displaystyle\\sum_{j=1}^{\\infty}\\frac{\\Delta t^{j}}{j!}D_{t}^{j}f_{i}= -\\left( \\frac{ f_{i} - f_{i}^{eq} }{ \\tau } \\right).\n", "$$(EqExp-Poisson-Eq)\n", "\n", "Rescaling the dimensionless form of the Eq. {eq}`EqExp-Poisson-Eq` in terms of the Knudsen number ($Kn$), we have\n", "\n", "$$\n", "\\displaystyle \\sum^{\\infty}_{j=1} \\frac{Kn^{(j-1)}}{j!} D_{t}^{j} f_{i} = - \\frac{1}{Kn}\\left( \\frac{ f_{i} - f_{eq,i} }{ \\tau } \\right) \\quad \\quad \\rightarrow \\quad \\quad \\displaystyle \\sum^{\\infty}_{j=1} \\frac{Kn^{(j)}}{j!} D_{t}^{j} f_{i} = - \\frac{ f_{i} - f_{i}^{eq} }{ \\tau },\n", "$$\n", "\n", "applying the asymptotic expansion in both the distribution function ($f_{i}=f_{i}^{(0)}+Kn f_{i}^{(1)} + Kn^{2} f_{i}^{(2)}+\\cdots$) and time partial derivative ($\\partial_{t}=\\partial_{t}^{(0)}+ Kn \\partial_{t}^{(1)}+Kn^{2} \\partial_{t}^{(2)}+\\cdots$), and separating the equation in orders up to the order $Kn^{2}$:\n", "\n", "$$\n", "\\begin{array}{ll}\n", " (Kn^{(0)}):& f_{i}^{(0)}= f_{i}^{eq},\\\\\n", " (Kn^{(1)}):& \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)}= - \\displaystyle\\frac{ f_{i}^{(1)} }{ \\tau } , \\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)} + \\displaystyle\\frac{\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} f_{i}^{(0)}}{2}= - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau },\\\\\n", " \\textrm{ou}\\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)\\displaystyle\\left(1 - \\frac{1}{2\\tau}\\right) f_{i}^{(1)} = - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\quad\\quad \\rightarrow \\quad\\quad f_{i}^{(1)}\\textrm{ Formulation} \\\\\n", " \\textrm{ou}\\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} \\displaystyle\\left(\\frac{1}{2} - \\tau\\right) f_{i}^{(0)} = - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\quad\\quad \\rightarrow \\quad\\quad f_{i}^{(0)}\\textrm{ Formulation}.\n", " \\end{array}\n", "$$(Chap-Kn-Poisson-Eq)\n", "\n", "##### Zero-Order Moment Balance\n", "\n", "To retrieve the balance equation, we sum the Eq. {eq}`Chap-Kn-Poisson-Eq` for $Kn^{(1)}$ and $Kn^{(2)}$ over $\\sum_{i=0} $:\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(1)}): \\displaystyle\\sum_{i}\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)}= \\displaystyle\\sum_{i} \\left(- \\displaystyle\\frac{ f_{i}^{(1)} }{ \\tau } \\right),\\\\\n", "(Kn^{(1)}): 0 =0,\n", "\\end{array}\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(2)}): \\displaystyle\\sum_{i}\\left( \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} \\displaystyle\\left( \\frac{1}{2}-\\tau\\right) f_{i}^{(0)} \\right) = \\displaystyle\\sum_{i}\\left( - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\right), \\\\\n", "(Kn^{(2)}): \\left( \\displaystyle\\frac{1}{2}-\\tau\\right) \\partial_{\\alpha}\\partial_{\\beta} \\left(c_{s}^{2} \\widehat{p} \\delta_{\\alpha\\beta} \\right) =0. \n", "\\end{array}\n", "$$\n", "\n", "or\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(2)}):& \\displaystyle\\sum_{i}\\left[ \\partial_{t}^{(1)} f_{i}^{(0)} - \\left(1-\\displaystyle\\frac{1}{2\\tau}\\right)\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right) f_{i}^{(1)} \\right]= \\displaystyle\\sum_{i}\\left( - \\displaystyle\\frac{f_{i}^{(2)}}{\\tau} \\right), \\nonumber \\\\\n", "(Kn^{(2)}):& - \\left(1-\\displaystyle\\frac{1}{2\\tau}\\right) m^{(1)}_{\\alpha} = 0.\n", "\\end{array}\n", "$$(Kn1-0-B0)\n", "\n", "where $m^{(1)}_{\\alpha}$ is the first-order moment of $f_{i}^{(1)}$ and $1/(1-w_{0})\\sum_{i=1}f_{i}^{(j)}=0$ for $j\\geq 1$ due to imposition of $\\widehat{p}$ conservation. To compute the moment $m^{(1)}_{\\alpha}$, we multiply Eq. {eq}`Chap-Kn-Poisson-Eq` by $c_{i,\\alpha}$ and sum over all lattice directions:\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(1)}): \\displaystyle\\sum_{i}c_{i,\\alpha}\\left( \\partial_{t}^{(0)} + e_{\\beta,i}\\partial_{\\beta} \\right)f_{i}^{(0)}= \\displaystyle\\sum_{i} c_{i,\\alpha} \\left( -\\frac{f_{i}^{(1)}}{\\tau} \\right),\\\\\n", "(Kn^{(1)}): m^{(1)}_{\\alpha} =-\\tau \\partial_{\\beta}\\left( c_{s}^{2} \\widehat{p} \\delta_{\\alpha\\beta} \\right).\n", "\\end{array}\n", "$$(Kn0-B1)\n", "\n", "\n", "By substituting Eq. {eq}`Kn0-B1` into Eq. {eq}`Kn1-0-B0`, we recover the Eq. {eq}`poisson-eq-lb`, where $\\nu=c_{s}^{2}(\\tau-1/2)$. In the regularized formulation of the lattice Boltzmann equation, the first-order correction is approximated as $f_{i}^{(1)}\\approx (f_{i}-f_{i}^{(0)})=f_{i}^{neq}$, where higher-order Knudsen moments are filtered out and the collision term is reformulated in terms of $f_{i}^{neq}$.\n", "```" ] }, { "cell_type": "markdown", "id": "4b61894d-6d61-4add-bd4e-df0f4152e4b0", "metadata": {}, "source": [ "#### Boundary Conditions" ] }, { "cell_type": "markdown", "id": "ed93dfc9-ba29-4d8d-be1f-171915679ccc", "metadata": {}, "source": [ "The boundary conditions for the lattice D2Q5 can be derived by solving a linear system of known moments, as illustrated in {doc}`appendix/bcs-D2Q5-poisson-equation`. For the D2Q5 lattice, the unknown distribution functions at each boundary are determined as summarized in Table below.\n" ] }, { "cell_type": "markdown", "id": "f54a7557-ad25-4316-b739-152ff0de3633", "metadata": {}, "source": [ "| Boundaries | | Layers | | |\n", "|:---------------:|:-:|:-------------------------------------------------------------------------------:|:-:|:-------------------------------------------------------------------------------:|\n", "| | | North | | South |\n", "| Unknown $f_{i}$ | | $f_2=\\widehat{p}_{n}(1-w_{0}) - (f_1+f_3+f_4)$ | | $f_4=\\widehat{p}_{s}(1-w_{0}) - (f_1+f_2+f_3)$ |\n", "| | | East | | West |\n", "| | | $f_3=\\widehat{p}_{e}(1-w_{0}) - (f_1+f_2+f_4)$ | | $f_1=\\widehat{p}_{w}(1-w_{0}) - (f_2+f_3+f_4)$ |\n", "| Boundaries | | Concave Corners | | |\n", "| | | Northwest | | Northeast |\n", "| Unknown $f_{i}$ | | $f_1=-(\\partial_{x}\\widehat{p}+\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_2 + \\widehat{p}_{nw}/3$ | | $f_3=(\\partial_{x}\\widehat{p}-\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_2 + \\widehat{p}_{ne}/3$ |\n", "| | | $f_4=(\\partial_{x}\\widehat{p}+\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_3 + \\widehat{p}_{nw}/3$ | | $f_4=-(\\partial_{x}\\widehat{p}-\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_1 + \\widehat{p}_{ne}/3$ |\n", "| | | Southwest | | Southeast |\n", "| | | $f_1=-(\\partial_{x}\\widehat{p}-\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_4 + \\widehat{p}_{sw}/3$ | | $f_2=-(\\partial_{x}\\widehat{p}+\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_1 + \\widehat{p}_{se}/3$ |\n", "| | | $f_2=(\\partial_{x}\\widehat{p}-\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_3 + \\widehat{p}_{sw}/3$ | | $f_3=(\\partial_{x}\\widehat{p}+\\partial_{y}\\widehat{p})\\tau c_{s}^{2}/2 - f_4 + \\widehat{p}_{se}/3$ |" ] }, { "cell_type": "markdown", "id": "1173d0af-8fd4-4bb6-8bcb-0312cfe34b4c", "metadata": {}, "source": [ "## 1st Benchmark: Single sine mode on a finite rod (Dirichlet)\n", "\n", "PDE: $(\\phi_t = \\partial_{x}(\\nu\\partial_{x}\\phi), (00)$\n", "\n", "BC: $(\\phi(0,t)=\\phi(L,t)=0)$\n", "\n", "IC: $\\phi(x,0)=\\sin \\left(\\frac{\\pi x}{L}\\right)$\n", "\n", "**Solution**\n", "\n", "$$\n", "\\phi(x,t)=\\sin\\left(\\frac{\\pi x}{L}\\right) \\exp \\left(-\\nu \\frac{\\pi^2}{L^2} t\\right).\n", "$$" ] }, { "cell_type": "markdown", "id": "71b11ae5-4842-456b-ada1-48b863f514b7", "metadata": {}, "source": [ "### FDM Solution:" ] }, { "cell_type": "code", "execution_count": 23, "id": "9f3038f4-b495-473c-bd59-bbf0033072f2", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=5.0000e-02\t dt=1.2500e-02\t nt=160\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "#--------------------------------------- Parameters (physical units) ------------------------------------------\n", "L = 1.0 # Length of the domain\n", "nu = 0.1/3.0 # Diffusion coefficient\n", "t_end = 2.0 # Total simulation time\n", "#------------------------------------- Parameters (numerical units) -------------------------------------------\n", "Nx=21 #Square Domain Length\n", "dx = L / (Nx-1) # Spatial step size\n", "c=1.0*2**(2) # c=dx/dt\n", "dt=dx/c # Time step size\n", "nt = int(t_end / dt) # Time step number\n", "print(f\"dx={dx:.4e}\\t dt={dt:.4e}\\t nt={nt:d}\") # Print values for check\n", "#----------------------------------- Initialization - Numerical Arrays ----------------------------------------\n", "Tf = np.zeros((Nx),dtype=\"float64\")\n", "x = np.linspace(0, Nx-1, Nx)\n", "Tf = np.sin(np.pi * x / (Nx-1))\n", "Tfp = np.zeros((Nx),dtype=\"float64\")\n", "AvTf = np.zeros((nt),dtype=\"float64\")\n", "#----------------------------------------- Maind Loop --------------------------------------------------------\n", "for t in range(nt):\n", " Tfp[:] = ( np.roll(Tf[:], 1, axis=0) + np.roll(Tf[:], -1, axis=0) ) / 2.0\n", " Tf[:]=Tfp[:]\n", " Tf[0]= 0.0 \n", " Tf[Nx-1]= 0.0\n", " AvTf[t]=np.sum(Tf)/Nx;" ] }, { "cell_type": "markdown", "id": "4de70fbd-c398-41cc-a370-af6c7645cef6", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### LBM D1Q3 Solution With Steady-Scheme:" ] }, { "cell_type": "code", "execution_count": 24, "id": "4b984bf0-ab46-48b5-af5e-44a2450d0635", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=5.0000e-02\t dt=1.2500e-02\t nt=160\n", "nue=0.1667\t tau=1.0000\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "#--------------------------------------- Parameters (physical units) ------------------------------------------\n", "L = 1.0 # Length of the domain\n", "nu = 0.1/3.0 # Diffusion coefficient\n", "t_end = 2.0 # Total simulation time\n", "#--------------------------------------- Lattice-Properties-D1Q3 ----------------------------------------------\n", "cs=1.0/np.sqrt(3.0);\n", "w = np.array([4.0/6.0, 1.0/6.0, 1.0/6.0],dtype=\"float64\")\n", "cx = np.array([0, 1, -1],dtype=\"int8\") \n", "#------------------------------------- Parameters (numerical units) -------------------------------------------\n", "Nx=21 #Square Domain Length\n", "dx = L / (Nx-1) # Spatial step size\n", "c=1.0*2**(2) # c=dx/dt\n", "dt=dx/c # Time step size\n", "nt = int(t_end / dt) # Time step number\n", "nue=nu/(c*dx) # Diffusion coefficient\n", "tau=nue/cs**2+0.5 # Relaxation Time\n", "print(f\"dx={dx:.4e}\\t dt={dt:.4e}\\t nt={nt:d}\") # Print values for check\n", "print(f\"nue={nue:.4f}\\t tau={tau:.4f}\")\n", "#--------------------------------- Initialization - Numerical Arrays -----------------------------------------\n", "T = np.zeros((Nx),dtype=\"float64\")\n", "x = np.linspace(0, Nx-1, Nx)\n", "T = np.sin(np.pi * x / (Nx-1))\n", "f = np.zeros((3,Nx),dtype=\"float64\")\n", "fp = np.zeros((3,Nx),dtype=\"float64\")\n", "AvT = np.zeros((nt),dtype=\"float64\")\n", "for k in range(0,3):\n", " fp[k,:]=w[k]*T[:]\n", "#----------------------------------------- Maind Loop --------------------------------------------------------\n", "for t in range(nt):\n", " #-----------------streaming-------------------\n", " for k in range(0,3):\n", " f[k,:]=np.roll(fp[k,:], cx[k], axis=0)\n", " #-----------------Boundaries-----------------------\n", " f[1,0]= 0.0 - f[0,0]-f[2,0]\n", " f[2,Nx-1]= 0.0 - f[0,Nx-1]-f[1,Nx-1]\n", " #----------------------Macro------------------\n", " T[:] = (f[1,:]+f[2,:])/(1-w[0])\n", " AvT[t]=np.sum(T)/Nx;\n", " #--------------------Collision----------------\n", " fp[0,:]=f[0,:] - (f[0,:] - (w[0]-1)*T[:])/tau\n", " fp[1,:]=f[1,:] - (f[1,:] - w[1]*T[:])/tau\n", " fp[2,:]=f[2,:] - (f[2,:] - w[2]*T[:])/tau" ] }, { "cell_type": "markdown", "id": "75ee336c-15b6-491d-a40d-ec0005fee857", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### LBM D1Q2 Solution (Not Accept the Steady-Scheme):" ] }, { "cell_type": "code", "execution_count": 33, "id": "871100b5-3d95-4899-9001-e0ed75b82f96", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=5.0000e-02\t dt=1.2500e-02\t nt=160\n", "nue=0.2500\t tau=1.0000\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "#--------------------------------------- Parameters (physical units) ------------------------------------------\n", "L = 1.0 # Length of the domain\n", "nu = 0.1/2.0 # Diffusion coefficient\n", "t_end = 2.0 # Total simulation time\n", "#--------------------------------------- Lattice-Properties-D1Q2 ----------------------------------------------\n", "cs=1.0/np.sqrt(2.0);\n", "w = np.array([1.0/2.0, 1.0/2.0],dtype=\"float64\")\n", "cx = np.array([1, -1],dtype=\"int8\") \n", "#------------------------------------- Parameters (numerical units) -------------------------------------------\n", "Nx=21 # Square Domain Length\n", "dx = L / (Nx-1) # Spatial step size\n", "c=1.0*2**(2) # c=dx/dt\n", "dt=dx/c # Time step size\n", "nt = int(t_end / dt) # Time step number\n", "nue=nu/(c*dx) # Diffusion coefficient\n", "tau=nue/cs**2+0.5 # Relaxation Time\n", "print(f\"dx={dx:.4e}\\t dt={dt:.4e}\\t nt={nt:d}\") # Print values for check\n", "print(f\"nue={nue:.4f}\\t tau={tau:.4f}\")\n", "#--------------------------------- Initialization - Numerical Arrays -----------------------------------------\n", "T2 = np.zeros((Nx),dtype=\"float64\")\n", "x = np.linspace(0, Nx-1, Nx)\n", "T2 = np.sin(np.pi * x / (Nx-1))\n", "f = np.zeros((2,Nx),dtype=\"float64\")\n", "fp = np.zeros((2,Nx),dtype=\"float64\")\n", "AvT2 = np.zeros((nt),dtype=\"float64\")\n", "fp[0,:]=w[0]*T2[:]\n", "fp[1,:]=w[1]*T2[:]\n", "#----------------------------------------- Maind Loop --------------------------------------------------------\n", "for t in range(nt):\n", " #-----------------streaming-------------------\n", " f[0,:]=np.roll(fp[0,:], cx[0], axis=0)\n", " f[1,:]=np.roll(fp[1,:], cx[1], axis=0)\n", " #-----------------Boundaries-----------------------\n", " f[0,0]= 0.0 - f[1,0]\n", " f[1,Nx-1]= 0.0 - f[0,Nx-1]\n", " #----------------------Macro------------------\n", " T2[:] = f[0,:]+f[1,:]\n", " AvT2[t]=np.sum(T2)/Nx;\n", " #--------------------Collision----------------\n", " fp[0,:]=f[0,:] - (f[0,:] - w[0]*T2[:])/tau\n", " fp[1,:]=f[1,:] - (f[1,:] - w[1]*T2[:])/tau" ] }, { "cell_type": "markdown", "id": "17aa1959-e8f4-4d24-974f-a1579a4c461c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### LBM D1Q3 Solution (Transient):" ] }, { "cell_type": "code", "execution_count": 34, "id": "b1510dea-0873-448f-b122-5bf5ea007783", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=5.0000e-02\t dt=1.2500e-02\t nt=160\n", "nue=0.1667\t tau=1.0000\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "#--------------------------------------- Parameters (physical units) ------------------------------------------\n", "L = 1.0 # Length of the domain\n", "nu = 0.1/3.0 # Diffusion coefficient\n", "t = 2.0 # Total simulation time\n", "#--------------------------------------- Lattice-Properties-D1Q3 ----------------------------------------------\n", "cs=1.0/np.sqrt(3.0);\n", "w = np.array([4.0/6.0, 1.0/6.0, 1.0/6.0],dtype=\"float64\")\n", "cx = np.array([0, 1, -1],dtype=\"int8\")\n", "#------------------------------------- Parameters (numerical units) -------------------------------------------\n", "Nx=21 # Square Domain Length\n", "dx = L / (Nx-1) # Spatial step size\n", "c=1.0*2**(2) # c=dx/dt\n", "dt=dx/c # Time step size\n", "nt = int(t / dt) # Time step number\n", "nue=nu/(c*dx) # Diffusion coefficient\n", "tau=nue/cs**2+0.5 # Relaxation Time\n", "print(f\"dx={dx:.4e}\\t dt={dt:.4e}\\t nt={nt:d}\") # Print values for check\n", "print(f\"nue={nue:.4f}\\t tau={tau:.4f}\")\n", "#--------------------------------- Initialization - Numerical Arrays -----------------------------------------\n", "Tt = np.zeros((Nx),dtype=\"float64\")\n", "x = np.linspace(0, Nx-1, Nx)\n", "Tt = np.sin(np.pi * x / (Nx-1))\n", "f = np.zeros((3,Nx),dtype=\"float64\")\n", "fp = np.zeros((3,Nx),dtype=\"float64\")\n", "AvTt = np.zeros((nt),dtype=\"float64\")\n", "for k in range(0,3):\n", " fp[k,:]=w[k]*Tt[:]\n", "#----------------------------------------- Maind Loop --------------------------------------------------------\n", "for t in range(nt):\n", " #-----------------streaming-------------------\n", " for k in range(0,3):\n", " f[k,:]=np.roll(fp[k,:], cx[k], axis=0)\n", " #-----------------Boundaries-----------------------\n", " f[1,0]= 0.0 - f[0,0]-f[2,0]\n", " f[2,Nx-1]= 0.0 - f[0,Nx-1]-f[1,Nx-1]\n", " #----------------------Macro------------------\n", " Tt[:]=f[0,:]+f[1,:]+f[2,:]\n", " AvTt[t]=np.sum(Tt)/Nx;\n", " #--------------------Collision----------------\n", " for k in range(0,3):\n", " fp[k,:]=f[k,:] - (f[k,:] - w[k]*Tt[:])/tau" ] }, { "cell_type": "markdown", "id": "56fb99c2-fd1a-4d9a-a273-d171a95ef2e2", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Numerical and Analytical Comparisson:" ] }, { "cell_type": "code", "execution_count": 35, "id": "3e452f7e-4908-40b4-bc94-79461fc6ee05", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xl = np.linspace(1, nt+1, nt)\n", "plt.plot(xl, AvTf, 'rs:' ,label='FDM - Steady-State',fillstyle='none')\n", "plt.plot(xl, AvT, 'ko:' ,label='LBM D1Q3 - Steady-State',fillstyle='none')\n", "plt.plot(xl, AvT2, 'cp:' ,label='LBM D1Q2',fillstyle='none')\n", "plt.plot(xl, AvTt, 'b>:' ,label='LBM D1Q3 - Transient',fillstyle='none')\n", "plt.xlabel(r\"$time-step$\",fontsize=18)\n", "plt.ylabel(r\"$\\phi_{Av}(t)$\",fontsize=18)\n", "plt.legend(fontsize=10)\n", "plt.grid(True)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "e1f9e820-03c0-4658-9c8c-e6229db31935", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## 2nd Benchmark: 2D Poisson Pressure Field\n", "\n", "Analyzing the accuracy of Poisson equation solver, we apply it to a two-dimensional analytical case. The geometry is described by a square domain of length $L$ initialized with a constant dimensionless pressure $\\widehat{p}(x,y,t=0)=0$. The boundary conditions of the geometry are given by\n", "\n", "$$\n", "\\widehat{p}(x=0,y,t)=\\displaystyle\\frac{sinh\\left(\\pi(1-y)\\right)}{sinh\\left(\\pi\\right)}, \\quad \\quad \\widehat{p}(x=L,y,t)= -\\frac{sinh\\left(\\pi(1-y)\\right)}{sinh\\left(\\pi\\right)}, \\quad \\quad \\widehat{p}(x,y=0,t)=cos(\\pi x), \\quad \\quad \\widehat{p}(x,y=L,t)=0.\n", "$$\n", "\n", "The pressure analytical solution for Eq. {eq}`poisson-eq-lb` pressure is given\n", "\n", "$$\n", " \\widehat{p}(x,y,t)=cos(\\pi x) \\displaystyle\\frac{sinh\\left(\\pi(1-y)\\right)}{sinh\\left(\\pi\\right)}\n", "$$\n", "\n", "where $Dp_{0}$ is considered equal to 1, consequently, velocity values can be analytically obtained by the equation:\n", "\n", "$$\n", " u_{x}=D\\partial_{x}p= \\pi sin(\\pi x) \\displaystyle\\frac{sinh\\left(\\pi(1-y)\\right)}{sinh\\left(\\pi\\right)}, \\quad \\quad u_{y}=D\\partial_{y}p= \\pi cos(\\pi x) \\displaystyle\\frac{cosh\\left(\\pi(1-y)\\right)}{sinh\\left(\\pi\\right)}.\n", "$$" ] }, { "cell_type": "markdown", "id": "874a3590-6f9b-476d-b09b-0297c35c7af1", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### LBM D2Q5 Code" ] }, { "cell_type": "code", "execution_count": 3, "id": "b93f9691-7541-41ec-9723-1448e450c5f8", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=5.0000e-03\t dt=4.2214e-06\t mstep=23688\n", "D=0.1689\t tau=1.0066\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "#--------------------------------------- Parameters (physical units) ------------------------------------------\n", "#------------Dimensionless-Data----------------\n", "Lo = 1.0 # Length of the square domain\n", "Do = 1.0 # Diffusion coefficient\n", "t_end = 0.1 # Total simulation time\n", "#--------------------------------------- Lattice-Properties-D2Q5 ----------------------------------------------\n", "cs = 1.0 / np.sqrt(3.) #Lattice sound speed\n", "w = np.array([2.0/6.0, 1.0/6.0, 1.0/6.0, 1.0/6.0, 1.0/6.0],dtype=\"float64\") # Lattice weights\n", "cx = np.array([0, 1, 0, -1, 0],dtype=\"int16\") # Lattice vectors\n", "cy = np.array([0, 0, 1, 0, -1],dtype=\"int16\") # Lattice vectors\n", "#------------------------------------- Parameters (numerical units) -------------------------------------------\n", "Nx=201 #Square Domain Length\n", "Ny=Nx\n", "dx = Lo/(Nx-1);\n", "rel = 2.0**9.21 *2**(1);\n", "dt = dx / rel;\n", "D = dt * Do / (dx * dx); \n", "tau = (D / (cs * cs)) + (1. / 2.); \n", "mstep= int(t_end / dt) # Time step number\n", "print(f\"dx={dx:.4e}\\t dt={dt:.4e}\\t mstep={mstep:d}\") # Print values for check\n", "print(f\"D={D:.4f}\\t tau={tau:.4f}\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "39a30f7b-3c1f-4877-9bb7-e9d578e18d40", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [], "source": [ "#--------------------------------- Initialization - Initial Condition -------------------------------------\n", "x=np.linspace(0.0,Lo,Nx) #x-array Length\n", "y=np.linspace(0.0,Lo,Ny) #y-array Length\n", "p=np.zeros((Nx,Ny),dtype=\"float64\") #Allocating Pressure Field\n", "# ------------------------North-Boundary---------------------------------\n", "p[:,Ny-1]=0 #North Boundary\n", "dxpn=np.zeros((Nx),dtype=\"float64\") #Allocating Pressure Field\n", "dxpn[:]=0*dx # dxp North Boundary (To be used in Corner BC)\n", "# ------------------------South-Boundary---------------------------------\n", "p[:,0]=np.cos(np.pi*x[:]) #Pressure South Boundary\n", "dxps=np.zeros((Nx),dtype=\"float64\") #Allocating Grad-Pressure\n", "dxps[:]=-np.pi*np.sin(np.pi*x[:])*dx # dxp South Boundary (To be used in Corner BC)\n", "# ------------------------West-Boundary---------------------------------\n", "p[0,:]=np.sinh(np.pi*(1-y[:]))/np.sinh(np.pi) #West Boundary\n", "dypw=np.zeros((Ny),dtype=\"float64\") #Allocating Grad-Pressure\n", "dypw[:]=-np.pi*np.cosh(np.pi*(1-y[:]))/np.sinh(np.pi)*dx # dyp West Boundary (To be used in Corner BC)\n", "# ------------------------East-Boundary---------------------------------\n", "p[Nx-1,:]=-np.sinh(np.pi*(1-y[:]))/np.sinh(np.pi) #East Boundary\n", "dype=np.zeros((Ny),dtype=\"float64\") #Allocating Grad-Pressure\n", "dype[:]=np.pi*np.cosh(np.pi*(1-y[:]))/np.sinh(np.pi)*dx # dyp East Boundary (To be used in Corner BC)\n", "#----------------------------- Initialization - Distribution Function --------------------------------------\n", "f=np.zeros((5,Nx,Ny),dtype=\"float64\") #Allocating Distribution Function\n", "fp=np.zeros((5,Nx,Ny),dtype=\"float64\") #Allocating Post-Colisional Distribution Function\n", "f[0,:,:]=(w[0]-1.0)*p[:,:]\n", "for k in range(1,5):\n", " fp[k,:,:]=w[k]*p[:,:]" ] }, { "cell_type": "code", "execution_count": 5, "id": "2732b9af-f0a1-42e1-a3c6-9ef4f58a3654", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "runtime= 11.375726699829102\n", "Mlups= 84.12815402943686\n" ] } ], "source": [ "import time\n", "start=time.time()\n", "for kk in range(0,mstep):\n", " #*******Streaming********\n", " for k in range(0,5):\n", " f[k,:,:]=np.roll(np.roll(fp[k,:,:], cx[k], axis=0), cy[k], axis=1)\n", " #************Boundary-Conditions**********\n", " f[4,1:-1,Ny-1]=-(f[1,1:-1,Ny-1]+f[2,1:-1,Ny-1]+f[3,1:-1,Ny-1]) #North\n", " f[2,1:-1,0]=np.cos(np.pi*x[1:-1])*(1.0-w[0])-(f[1,1:-1,0]+f[3,1:-1,0]+f[4,1:-1,0]) #South\n", " f[1,0,1:-1]=np.sinh(np.pi*(1-y[1:-1]))/np.sinh(np.pi)*(1.0-w[0])-(f[2,0,1:-1]+f[3,0,1:-1]+f[4,0,1:-1]) #West\n", " f[3,Nx-1,1:-1]=-np.sinh(np.pi*(1-y[1:-1]))/np.sinh(np.pi)*(1.0-w[0])-(f[1,Nx-1,1:-1]+f[2,Nx-1,1:-1]+f[4,Nx-1,1:-1]) #East\n", " #************Corner-Boundaries**********\n", " #----------------NorthWest----------------------\n", " f[1,0,Ny-1]=-(dxpn[0]+dypw[Ny-1])*tau*cs**2/2 -f[2,0,Ny-1]\n", " f[4,0,Ny-1]=(dxpn[0]+dypw[Ny-1])*tau*cs**2/2 -f[3,0,Ny-1]\n", " #----------------NorthEast----------------------\n", " f[3,Nx-1,Ny-1]=(dxpn[Nx-1]-dype[Ny-1])*tau*cs**2/2 -f[2,Nx-1,Ny-1]\n", " f[4,Nx-1,Ny-1]=-(dxpn[Nx-1]-dype[Ny-1])*tau*cs**2/2 -f[1,Nx-1,Ny-1]\n", " #----------------SouthWest----------------------\n", " f[1,0,0]=-(dxps[0]-dypw[0])*tau*cs**2/2 -f[4,0,0] +np.cos(np.pi*x[0])/3.0\n", " f[2,0,0]=(dxps[0]-dypw[0])*tau*cs**2/2 -f[3,0,0] +np.cos(np.pi*x[0])/3.0\n", " #----------------SouthEast----------------------\n", " f[2,Nx-1,0]=-(dxps[Nx-1]+dype[0])*tau*cs**2/2 -f[1,Nx-1,0] +np.cos(np.pi*x[Nx-1])/3.0\n", " f[3,Nx-1,0]=(dxps[Nx-1]+dype[0])*tau*cs**2/2 -f[4,Nx-1,0] +np.cos(np.pi*x[Nx-1])/3.0\n", " #***********Macro********\n", " p=(f[1,:,:]+f[2,:,:]+f[3,:,:]+f[4,:,:])/(1.0-w[0])\n", " #*******Collision********\n", " fp[0,:,:]=f[0,:,:]-(f[0,:,:]-(w[0]-1.0)*p[:,:])/tau # Collision Lattice Index 0\n", " for k in range(1,5):\n", " fp[k,:,:]=f[k,:,:]-(f[k,:,:]-w[k]*p[:,:])/tau # Collision Lattice Index 1-4\n", "\n", "end=time.time();\n", "runtime = end-start;\n", "nodes_updated = mstep*Nx*Ny;\n", "speed = nodes_updated/(1e6*runtime);\n", "print('runtime=',runtime)\n", "print('Mlups=',speed)" ] }, { "cell_type": "code", "execution_count": 6, "id": "d4d23e69-82cb-48c1-a59c-6c5011528dfe", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ---------------------- Calculating Gradients ------------------------------\n", "dpx=np.zeros((Nx,Ny),dtype=\"float64\")\n", "dpy=np.zeros((Nx,Ny),dtype=\"float64\")\n", "u=np.zeros((Nx,Ny),dtype=\"float64\")\n", "v=np.zeros((Nx,Ny),dtype=\"float64\")\n", "dxr=-np.einsum('i,ixy->xy', cx, f)/(cs**2*tau)\n", "dyr=-np.einsum('i,ixy->xy', cy, f)/(cs**2*tau)\n", "u=np.einsum('i,ixy->xy', cx, f)*(1.0-1.0/(2.0*tau))\n", "v=np.einsum('i,ixy->xy', cy, f)*(1.0-1.0/(2.0*tau))\n", "# -------------------------- Plot Results -----------------------------------\n", "fig1, (ax1,ax2,ax3) = plt.subplots(ncols=3,figsize=(18,4))\n", "# -----------------------PLot-1-------------------------------\n", "img1=ax1.imshow(np.rot90(p),cmap='jet', interpolation='none')\n", "fig1.colorbar(img1, ax=ax1)\n", "ax1.set_xlabel('$x$',fontsize=16)\n", "ax1.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax1.set_title(\"$Pressure$ $Field$\",fontsize=14)\n", "# -----------------------PLot-2-------------------------------\n", "img2=ax2.imshow(np.rot90(u),cmap='jet', interpolation='none')\n", "fig1.colorbar(img2, ax=ax2)\n", "ax2.set_xlabel('$x$',fontsize=16)\n", "ax2.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax2.set_title(\"$x-Velocity$ $Field$\",fontsize=14)\n", "# -----------------------PLot-3-------------------------------\n", "img3=ax3.imshow(np.rot90(v),cmap='jet', interpolation='none')\n", "fig1.colorbar(img3, ax=ax3)\n", "ax3.set_xlabel('$x$',fontsize=16)\n", "ax3.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax3.set_title(\"$y-Velocity$ $Field$\",fontsize=14)\n", "fig1.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "5af72be5-ccbf-401a-8181-4e99a0c5e4da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [], "source": [ "#----------------------------- Analytical-Slution --------------------------------------\n", "yl, xl =np.meshgrid(x,y)\n", "pana=np.cos(np.pi*xl)*np.sinh(np.pi*(1-yl))/np.sinh(np.pi)\n", "dxp=-np.pi*np.sin(np.pi*xl)*np.sinh(np.pi*(1-yl))/np.sinh(np.pi)\n", "dyp=-np.pi*np.cos(np.pi*xl)*np.cosh(np.pi*(1-yl))/np.sinh(np.pi)" ] }, { "cell_type": "code", "execution_count": 8, "id": "ca538c8b-0111-45f9-81b9-f3b7fc1bc878", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [ { "data": { "image/png": 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EJz6BP/7xjwiCAE8//TT2339/9Pb25k7sAPUJsrGxscwE2UUXXYS99trLa3LsyCOPbNMTkPF5NoD7+ZiJreuvvx5AMaMQAM7yysSgFZkGdLdcU4tEpau54447ksHCpk2b8Nhjj+Gtb30rbrjhBgD1uErmg3v77bdjzz33xHPPPYe77rorKW9/cH/4wx8m+3fccQcOPPBAPPvss7jjjjs6eVtebL311pg5cyYA4LnnnsMPfvADHHDAAbj55psBuJ9NXlll4jM0NIRXTZuGGTNmlPqbN28ehoaGxvs2FGXKMZXlmg8+8kvl3+RE5ZqidJZVq1bhb//2b5159ttvP9xzzz247LLL8IlPfAL/+7//i/e85z0A6pNj9vcYqE/s/N3f/V1ipTd9+nTcdttt7ARZrVbDHXfckZkcMzLNTI69853vTM7XKXyeDeB+PtzE1iGHHIKNGzd6PTtXeaX7aVWmdbtcU4tEpat56qmnktWN+/v78eY3vxnXXHMNjjnmGADA3/zN3+Bzn/scbr75ZtRqNcyePRvf+MY3cMoppwAAnn766aT8hg0b8LrXvQ7bb789AGDOnDno6+vDd77znSR/N3Hsscfinnvuwc0334zR0VEcddRRWLlyJQ488EAA7mfzyle+0llWmfiMjIzgJQCfBDBQsOwwgM+vX4+RkZGuneVSlMnKVJZrPuTJPkDl32RF5ZqidA9xHGP//ffHm9/8Znzxi18EAHz5y1/Ga1/7Wvz93/99ku+OO+5I9u2JneXLlycr3koTZA8++CDuuOMOfOADH0jO98Mf/jBZsMueHHvwwQdx1FFHdeTeffB5PtzE1qWXXoqbb74Z//AP/5D77PLKK91NKzIN6H65pqs2K4qiTEA2bdqEGTNm4EIARUXLEIDzAbzwwgu5LhuKoiiK0glUrilK9/DHP/4RO+ywA5YvX46PfOQjWLduHd7znvfgu9/9bmoF4/nz5+MHP/gBZsyYgaGhIRx//PF429vehqOOOgpz5swBADzxxBP43Oc+h7e//e2o1Wr43ve+h7e85S045ZRT8La3vQ0/+MEPMH36dGzYsAFHH310YoH/8MMP46qrrsJuu+2GU045Bb293eNM6fN8Xn75ZZxyyik45JBDMDo6ip/+9KfYaaedcOCBB2KfffbJfXZ55ZXuphWZBnS/XFNFoqIoygTECKfPoNyA65/QvYJJURRFmXqoXFOU7uKLX/winn76aQwPD+OFF17Aeeedhx133HG8q9U16PNRXLQi04Dul2vq2qwoiqIoiqIoiqIoSsLHPvax8a5CV6PPR5nKdI99cA7XXHMNdtxxRwwODmL+/Pm47777xrtKiqIo404IoK/gn84gdQcq1xRFUbKoXJu4qFxTFEVJU0amTQS5NiEUiV/72tewdOlSnH/++XjwwQex5557YtGiRXjuuefGu2qKoijjSljyTxlfVK4piqLwdEKuxXGMc889F/PmzcO0adPw+te/Hp/+9KehEZ/Ko3JNURQlS1mZ1u3jtQkRI3H+/Pl4y1vegquvvhoAMDY2hrlz5+KUU07Bpz71qdzyY2Nj+N3vfoetttoKPT097a6uoiiKSK1Ww4svvog5c+a0FDTaxN24EsC0gmVfBnAqujfmxlRA5ZqiKJOBqmQa0Fm59tnPfhaXX345/vVf/xVvetOb8MADD+CEE07AZz7zGZx66qklaq+0ItdUpimK0i10w1gN6P7xWrcrOjEyMoJ169bhrLPOStJ6e3uxcOFCrF27li0zPDyM4eHhZP+3v/0t3vjGN7a9roqiKL4888wzeM1rXtPyecrMWJX98F9zzTX4/Oc/j/Xr12PPPffEVVddhbe+9a1i/m984xs499xz8Zvf/AY77bQTPve5z+Hwww9PjtdqNZx//vn40pe+hI0bN2L//ffHtddei5122inJ8/zzz+OUU07Bd7/7XfT29uKoo47CFVdcgVe84hUAgKGhIXz0ox/FunXr8Nhjj+Fd73oXbr311lQ97rzzTrz97W/P1O/ZZ5/FrFmzSj6N8qhcUxRlslGVTAM6I9fuuecevOc978ERRxwBANhxxx1x8803qytuSYrKNZVpiqJ0O+M5VjPluplurx/+8Ic/II5jzJw5M5U+c+ZM/PKXv2TLLFu2DBdeeGEmffEzp2Fg+kBb6gkA8cTwFJ/UBBhr47mjtp27eY247ddQ3MQI2nr+4U3DuHLuNdhqq60qOZ+Ju1GE0RLXMS5LK1aswPz587F8+XIsWrQIjz/+OLbffvtM/nvuuQfHHnssli1bhne9611YuXIljjzySDz44IPYbbfdAACXXHIJrrzySvzrv/4r5s2bh3PPPReLFi3Co48+isHB+vpmxx13HJ599lmsXr0ao6OjOOGEE3DyySdj5cqVAOruadOmTcOpp56K//zP/3Tew+OPP56a0ePq3QmqlGtnPfMhDE7vb7lO7W73RWhnXTp1n930PCcTnZKR7bxON8n5KuoytGkEy+beWJlMA1qTa5s2bUqlDwwMYGAg2/ffb7/9cN111+F//ud/8IY3vAH//d//jbvvvhuXX355qTpPdYrKtbyx2kvYEi83bHhewlb4c7L9Cgw1tv+MaXgJWyXbQ5un4c+b68dqL2wJvNQ46ebGX/0Eze3NaOYZJseGrO1hkm+IbNN9ANlXa9T634wnosbfKMnDnYDrudG3JCDH7ONmyD9opYcAiPXngJXNZ3tLNJejpdtbknwA8Apy7BXW9pY1hFu/CADYYsuXMTjw5/o2hvCKxg8wDX/GNLyMV+BF4dhQ47QvYgu83Nh+CYOon2srvIRpeJk9tgWGMC1u5HshQs+fG/X6M5q//58bf5utfaMPt9vZCNLtZ3MjDai3kRHr2JBVxt6OmnlqMRA1msRoBAw18kXWsHcU1bcg83/YC4SNJhSGQF9ju68fzaY1YJ1gAM220N/YH2CObWGlb0HS6bGknVjbJl8jffP0ent+eWAL/BmDGGocfBGvwMuN7ZcxiJfwisb2Fngx2Z6WpL+wqRfXzb10XMdqQLnxWifpekViGc466ywsXbo02d+0aRPmzp2LgekDbVYk6sBhvGlv57/9v2/YRQOMqUrUofd4ornuXH755TjppJNwwgknAABWrFiB2267Dddffz3rsnTFFVfg0EMPxSc/+UkAwKc//WmsXr0aV199NVasWIFarYbly5fjnHPOwXve8x4AwFe/+lXMnDkTt956K4455hg89thjWLVqFe6//37su+++AICrrroKhx9+OC699FLMmTMHW265Ja699loAwE9+8hNs3LhRvIftt98eW2+9dYVPpXNIcm1wen9FisTu6Q5MBkVip74jU41Oycipo0isboK0W2Ta3LlzU/vnn38+Lrjggky+T33qU9i0aRN22WUXBEGAOI7xmc98Bscdd1yHajq1yRurjWAQcUNh2Idp6GsoAUJsiaCRHmAL9DYG/r3YAj3BNPT01vPV4i2RwgTyGmv8AXVNi/0K2JqYMTSVPTGaI+YITWVJr/UH1HVy4mvAKRLNNqdIpO+mjxooJMc4ReI0OBWJPdb/5r560bznwDqVvYIEUFcYme6IrSwaRNOvcxqySqFXNLZfUUPPVvUK9LwiRO9A0Lh8iKDxA4boQYge9DW+o33oQX/jWQ1gDAONfIONFlS/ZL0FAcAWCBt/9XO/Ar2Y1rjRLdCDLeL69beqAT3270yfT8363xyP0dTe9aD5E9ZQ//lqVj67DYbWNm1bje3aGBA1rj3aA/Q1tqXmS48B5VqQ+T+0rmlv95F6ptqJ2TbmePYJpTZjK6mnIa1ItBSGrFJxSyBoKBLDgR4E6EXYqFwNAXrRbE9jVmWiRgVq6Mdo44L9jXLdIte6le4ZOQhst912CIIAGzZsSKVv2LBBdEmTZh+LUnTA0eoARRWRne9gF7meGWgX6XgXHfS0ev/dNEAZLzr9Ho23wqAVFzBfy40yrrhr165NDRIAYNGiRYnb8ZNPPon169dj4cKFyfEZM2Zg/vz5WLt2LY455hisXbsWW2+9daJEBICFCxeit7cX9957L9773vcWuW3stddeGB4exm677YYLLrgA+++/f6HyVVGlXBvACHylnevdqEJB08q7YCsyfb9j7ZTRZe6lVWXsVOsDlJFX6XZSXAnm285jBIXrV+Z+WlHktVup6ns/tUTbUh2tyLVnnnkmZXkujQe+/vWv46abbsLKlSvxpje9CQ899BBOP/10zJkzB8cff3ypek9lisq1qsZqk4s+dL8NkjIVKGM9p8ioa/M40d/fj3322Qdr1qzBkUceCaAekHfNmjVYsmRJpddydeJ9Ovi+g4AiA5RushKpEqnzLD2bKjvMdueY/maujrNPh99VT59OuW/HvejgY7JaOnLtRXo2Vb5Ldruhz7bTikU65+xbBvC33Cjjirt+/Xo2//r165PjJs2Vh7ofh2GIbbbZJsnjw+zZs7FixQrsu+++GB4expe//GUcfPDBuPfee/HmN7/Z+zxVUaVc68Mw+pFdM41r71VMNLjkHHf+PLlo3hfXN016d13f8iJ1sOtR5PpFr1EkX6tlugmp3RVtS1x5P7nabFv0d3bJxjhpm63K9db6Dr7XaSW//3mz9xK3QZHYilybPn26V1D6T37yk/jUpz6FY445BgCw++6746mnnsKyZctUkViCTo7XxgXfLqRtucgeKKsoNC28THlPx8rxHnKGfmObVsY0vmOBKBhnZVoIpg016bNuIyrxOFq9t1AS377dlYndrSlMGZlmynUz4/3J8GLp0qU4/vjjse++++Ktb30rli9fjs2bNycudoqiKFOVVgZcvpYbE52dd94ZO++8c7K/33774YknnsAXvvAF/Nu//du41EnlmqIoCk8rcs2XP//5z5nVOIMgwNhY+2JtT3ZUrimKomRRReI48r73vQ+///3vcd5552H9+vXYa6+9sGrVqowlS1mkWfGi6d1s0TDe0Nlx6R5ky4XW3JkkyxWuXnl1kK7PzZBJ55LT5XvzmYHzt2iceBaKXJspYgFlP79ybot8u6HXM9eRrlG1lXErLmC+lhtlXHFnzZrlzG/+37BhA2bPnp3Ks9deeyV5nnvuudQ5oijC888/3/Jqy29961tx9913t3SOVqhKrg00IrpI7bBVaDsuavEbIG5JZkUIMteUrC2LXqfMO1q0X5B3LK8u/Pm6u+tGfy/XvUnt1CWn/epgf6NDcoy3UKwqFAn3jrRicdiqp4TP9csSIMZYG1wxO7Fq87vf/W585jOfwWtf+1q86U1vws9+9jNcfvnl+PCHP1zwTIqh3eM1oDMLH3YHkklat6sWGFoUWe38zVv2IgrRXGylXeRYJ/qS13K6u2dRHeMRkkpdm8eZJUuWtMU0nnbwuQ4/l8Y1Qqlz73vOvPPz5+7en9DlTmQTQlbKSIoi34GFObd0Xm6wIrkz+SoQubr5Djikzn5RhSR3boludnuOUr+Pn+ujj3KxqNIhRigqwyWlYoi4kOt1WcqsBFb0q1HGZWnBggVYs2YNTj/99CRt9erVWLBgAQBg3rx5mDVrFtasWZMoDjdt2oR7770X//AP/5CcY+PGjVi3bh322WcfAMAdd9yBsbExzJ8/v+BdpHnooYdSCszxoAq5FiBGPYR0de+xjxLHpbiUlI9F5JU5P3de6Xzcd52jFfldxQRj3nOYqJOKvs/fpeSrH88qIluVU9I1uX5KWaWfjzwvIsuLTFrmnb9oniK0Y2KyE3LtqquuwrnnnouPfexjeO655zBnzhz8f//f/4fzzjuv4JkUm3aN1woT1uBY+cTK1/aaeNCK2/I40hXPboLQCYVjxXh/g9vZFSnQxmpd3B7LrtrcxbcEoPvrpyiKonQBeS5LH/zgB/HqV78ay5YtAwCcdtppOOigg3DZZZfhiCOOwC233IIHHngA1113HYD6Sminn346Lr74Yuy0006YN28ezj33XMyZMydRVu6666449NBDcdJJJ2HFihUYHR3FkiVLcMwxx2DOnDlJ3R599FGMjIzg+eefx4svvoiHHnoIABIF5fLlyzFv3jy86U1vwtDQEL785S/jjjvuwA9+8IPOPDxFURSlq9hqq62wfPlyLF++fLyroiiKoigTjimrSPSxErT3qVUBN4vua6lQxJ2qykVeOkmexZePdQDgbyFQhNCqG7Umc+9nXZvzrBHtfR93J19rhaKWCnkWA93o6uxjeeqyWrIJEFVqvWtbKFLrLW4hlnaa0XfCBQzId1l6+umnU/Gm9ttvP6xcuRLnnHMOzj77bOy000649dZbsdtuuyV5zjjjDGzevBknn3wyNm7ciLe97W1YtWoVBgcHkzw33XQTlixZgkMOOQS9vb046qijcOWVV6bqdvjhh+Opp55K9vfee28AQK1WX4RkZGQE//iP/4jf/va32GKLLbDHHnvg9ttvx9vf/vYST6K7qC+20npML59Vk10W3DbS91+y0uWuw1n60vepzHtdRpb7WCX6nFcq60rPe17d4pUQICrleeDrdZAXWiRdl9j5Xc6T62UsIMv2C7jy3DlcZeVzVrMQTB7RBHVtViYHlfdfQ2HblWYfy32l+kimKvxW7UqNs+uz9Hzynls34hK/ps7UylBK7xC2bau47k9B6MIqfT6/V5Hf296veLjULToSdW2exNiNzDVAyBtw5CkMW1E+uvJK1xsPJFdiwC9OoauzX9QFqT54yCop7UECN9goE7/Qrm/eIME1yPBRGJZVPualS9frNM2BXTllhsvVGMh3j+SuRRWVtgJDUj53Snh1Iii9weWydOedd2bSjj76aBx99NHi+Xp6enDRRRfhoosuEvNss802WLlypbNev/nNb5zHzzjjDJxxxhnOPBOVAYxggFm12ReujdtI4QWk9t/MW/w98H2n7He5jNs0vZ59LW6bpuW5K/u6Q/sqH13n8D3eLvJ+5+Zx3oVZilHo+qYXjQUsKRVdfQxfysr2ImXl8tW4Q0vn8iVugyKxk3JNmcTkiYWqRsGFNTb2hV3vT1WqIAnG9buMkki1CTxlnpPJQz7JPWE2rSp8qtUXAmHR37nKbslEVERb6GIriqIoStehlhuKoijKZELlmqIoijJZUIvEKYg9Uy5ZG/i6P5dZ1KXKFSU7AbUATB/j3Z5sN2NzDoPk3lZ2BUfbhamMy3QR16rmdXmLA8lSweXe5GOR0KoLtHSdThFDdimjloTNMiHbTup5892Pi9QNaLpntmIJVSWdCEqvdC/9GCnt2swtItQ8xn9vJTfjet7sO1H+fWtaJ9p1kRY0olbCRa8pyXVOxrfineCygmwlnV6nE1D5bSNZKrq+1a4wJ61i14fbLnqe+nZxa0SfPoGrPD2Hz/V90qXz+hC1wVpK5ZpSKdRdudXGElr/S57JpT2Wiy68It1Mi7ZM7XqhQqR/g4nw4gbI/ubtcF2mbUawTpToA99qijTFwq0mLxSASQ/RuoWiOX/ApHU5utjKJKLIgKGeHnrnK3qdIufwSefO2W583JnlVZPTAweq4MtTHpYZCJhrAVk3Z2nQWl8ZtbxSsN6COjOwaHWlSO6c7cbHnVmKpcW5HdvnNOetWsmep8Cwt31jw5VBLTemNv0YwUAJRWKe0p5zYwb8XPld7b2Vd5F+o4vCKQLL9AeqyO+zT8/FnZOj3ROKLnfl+vHsxKEUTsTATRza1/GNjWjnt/sTklxPb6cnG8vGZqZhTor3Hfzle577NC3PnUM6ny/tUiSqXFMqpZW4bh1rXC5VkIHTNNnlpXI+6UK2Moq/qfhC+ioYbTflCN4KQxOrcDTi0yOrPG1Jko5SomMutVJ3Ja8bM/7R3AoxWS0Se/OzKIqiKIqiKIqiKIqiKIoy1el2RWdHyLMkMMd980nbrQZoL2qZ0Ak351bdmX0tEDjLQblOsrWh2ebqaOolW8W5XZtd1getWy2Wc392lePKUzrh5lzUndllaeiyArQtFV3ukva1aRlTX/u5uPJ1Ag1KP7Xpx2gh12aXlbf0XZZWRXe5E9vvgc/q5fQbzS2okpevKC6Z3Q4rxLy+BFee5vdJl85bBWXdmaWFz7jztlvuVOXmDLgtDItYInKyukhokzyrQ9/FWnyOUUbb8HupXFOKUrkXTdkRsrg+CrOwiRMf68Qi5wqtbYFWTaYq1iqUtQovSltCFNnWiWVcoQM025C9jeyqydRC0VUlF0W+oT3tsN6t+GcYz3BvFF1sZZKR50KU587MDRSKxFXyGYy4yuTdiyu9Slwusy53Zp+BRNmOvU+dqTLR1IWuGpmniMtzQeIHDPLgoqz7c149i8ZazEuvElf75ZUdvBKvfoxX+FXxLlCFCVUm1o81FSsmL71+1R0WdQGb2gxgGAOe7Zu+LzZSrNE899OqVlDO1ic7IdA8Pz8JUOb6rrAj9Fxx4ytt8O0zVOH23C0Tifb3lyLJHmmyx+zXz5vuF/i6I7uQJibLnCvvPosoEX37BVWGQ5HzyCNQ30F81IZ+gso1xaYTfdHcBuTrGp2r1HGdiBb2jZfYJ2yPM1PlpewefVWqxZRpPTbGZdqs2GwUmCG9X+53rup9ajOdUjZOVtfmbq9fx5GCqPsMGMoMMMoMKnwGGK77qQJOEWjDzYbLg7/iA4ky9Y2Ya5rr2vck4ZtPilHoM1AoZ63YnuDtNu2aFcxTbKT35bYgKR18Fmwoi32OIlZRVc+alwngqx/+yUMfRtCf0+58rBClWKP1PNkYpkapyL1X0ntIcb3/9nXo+9XKBIFUlyKThdLkoO9kou9EIlffPIWj675aIe+Zu+R6fd9v8rC57RcXkYNXXoap4+Ze+Hei3LXpuaRJvzz5TScIy1o2cteg55Dq7nsMAEbapEhUuaZIVKpYpA0nz8LOlVZJ945T/0jWiXZ+qVIelLUq1JfOnyLxE4F07ESzndO+wiAdJ9FQpPUUVkO7uhi+Vouu9ldhGxtPC8UyMs2U62Y0RqKiKMoEpq/kn6IoiqJ0IyrXFEVRlMlCWZnWilz753/+Z/T09OD0009v4Sxuul3R2XZcbpXZmX/emoBaKZi8RV2jXdsul+e8e8k7VobAYZVQv57bCsHOX8Yiwcc6UXJ7s8vTc0hWiy44qwGTzp1DdnnOWi3mWSHmu0D5uzzT/D7pZanKQsrkl9yZXZaCPlZNXD2pVZR0jqosHxXFxQBGMJAzJyhZylJ3ZoP9fbffI/tcxtKwylAC0urt9JvAyb8iK6NL9cuzNMyzLHRZIbrycPmk+ubVnVKVV0JejF1aLyqHfL0QzLmo10Crlty0b2LXvXmdYl4PkqV+gEh0Z6Yy2RWqRIqVWNQ7IZtPrjdHnkfCaIlV4xWlHQRhB1yggebo2fgrcq+Ol5uzqxC1I/NRKUj2ZSHZ9ojXKPlicullrDhzkH7LKsYjrrF/YSQ332HmWGDlsa0TbctDR5sxcQmlx2nHSmy19WTcl32QygQo79tbkqk+/rr//vvxL//yL9hjjz3aep0pr0gE+A4/Pe5yZ/YdMFQZV1FKa/dgAsi6CRtaiYVUT5cDn7fqakSfE42FaN9bK1Dln33ePHdm1+DDrltVcRXl/XKDiSL4Kja4gR1VEPq6MLe6KENWucErM1zH24HGkpra9GME/Q5FouS+WT+WTpfCAnDnMu+h9D5x315fZZ+k4HQpq8oMDLgJQ1rOlvGmbpL8LqM8nAgTia5JES5mIu0j+E4eSvUu0xeQ+imSklqqg8mTN8nGy323O7MrjnJROZ83qUjz22Vc+X2OFVnsyReVa0pZjALK2SpD8j9Nl/L7ILmmJlAlnn3yvGh2EikVUMlzOIq6Xkjfy3nmC8Ji4zAfxWIRGRgFJm/Ob1FErHJuzbZSkbsFO13KwxVrnDeK/WMkSiQxEclv10PbQ1nXeFd+7t30OHdcSgPafjoZI/Gll17Ccccdhy996Uu4+OKLS5zBH5W7iqIoE5gwAPoKLgYY1uDdKVEURVGUTqJyTVEURZkslJFpQFOubdq0KZU+MDCAgYEBtszixYtxxBFHYOHChapI7DR5lobmmO3qJFkaSm5QkhUDvZaPdUJeIHbfYz7kua1RywQ68+1yYTb5zb1Rd6lWrRNpeelYldiuytLMP82TtVb0s0IsEoy9vl3OKsHneB5lLKTqx2Srw7yVYznrRH5hgyDzPOxjdvm8PJ0iDIFQB1xTlj4MsxaJzXfEf5Xm9L7szlzflt8p1wIrvnCrn7vytIotyyVLxTj5SmdlOS3fLOPfF7DPZV+THufK0HJc3csgWfYBvBcCrZeR8X5eCAFbpixSOBN6D1VBZbmPd4KvpSJ1d6Z1l87F5UvXx88jQcoPAH3tsEhUuaZ44OyPhhEQNmyybHOgshZ0PuW83ZldVoi2GWOfI59BclotGV2tFbHqY5nmtG7snhc4DoUnmGedaSwPyw4HWCvWxvly2lZfmHZvTtLh33okg76+sKC7c17eVlzg7d8gaF4rclxzvF2dy8g0oCnX5s6dm0o///zzccEFF2Ty33LLLXjwwQdx//33l6to0fp15CqTADp4sAcG3GDANSiRlIfSeew89DjdNvis/liUIjGS6CAzdnRwJXdme8Bhn79VRVa7FIe+15XcmbmBgHwsPaiQ3abLDSbsc0v3URZpgE7PzblRGuz3wuXO7KNUrOoexou+ErNcfbX21EXpPAMYxQBxlXIpxKWVj2kMUu677AorQPPZ5E1C5dHq+1YmnIFdlspyKp/rx9Iuz5KMn2gTiVI85Po53ZOH5rpFJg/tMjZcviKUKdfqNQ3ShKEko5utrJg7NK2rz0Qid5yeJy/vCKoXKCrXlI7DKRrzYgSGZD8i+QrPhdgqH3oCH8WgpP3ss7aZF6uoUsdXKet7Do/haasTSxSvfgFXR27lZdcxQ+CRj7owmypG1nHUf0HukUXWI6IrOHu1HuuR9OX9JrZrNphtez9E+v7po7f3QyF9glNGpgFNufbMM89g+vTpSTpnjfjMM8/gtNNOw+rVqzE4OFi2qoVQRaKiKMoEprTlhqIoiqJ0ISrXFEVRlMlCSxaJAKZPn55SJHKsW7cOzz33HN785jcnaXEc46677sLVV1+N4eFhBEG12tkppUiM0ctaFHDWAnlWCJKFAWepaPL4WCEWWfk5e3+WNUPssCJw2f4KBKEj2HogW7P5LKRiz/o3rRbc1okc1M2qavobU0iSRQF1Z5IsCl3WCaYcfx3etcnHpSnPMoGzMixikeBDDNm6IyLWKHbd6mlpS51mW4q93Zm5POOBa8JSUYpSd22u906kVY9tqIUZJ1fSFmR+ixlJ7sx5C6xEqXNUZy3u65osyWwfWe5a3dm1snOZvoB0X74eCdy5XNiuyJR2eiHY52+eSw6H0U54yz1JrmfTfTwPDJy8zwttIj1Xk4+7Dzu9qJcCxZy3rw0WiYpCkb1kWrRU83VZLno+cbEVoGkVSE9suzOPuk7gqFxBl2ZfizKXFaKPFedkxXZnBnjrOtrxt59njObPK1m0FrBuNZaEo1HawjByfNIlS0SzyIpxa+6R2oBkUeiDr+VjSaT+UCueKt3KIYccgp///OeptBNOOAG77LILzjzzzMqViMDkfrU7jqRgNIMC3/hJtLw5d/MYrzCkCkKXwjDyVCaGjXgV0rmCME4dM6ulxQgQBLILE6cw5GIiFXVnlpSJVcRBMvdSxbmKujNLykfuWDq9vYMJ3w6ctApr/RiNzVZMsRFY74qttCjrztxuRWPV5+8LgD550V6+TPUhrZRxIoxjhHF9UJL3bYqCAFRBn/5GSBNXtuInrZCv0p25ynejVXdqX3yVj0A2VIlrIpI7P81H8yZpjolEIH8y0TVxCLgnDwEq4+PUN96W876Th35KrfYqGttx/jx5Xy6WYlbO+7g72+c1hLFnvytuk2uzyrUpTZXxSx0Xkfddx6TzSMofb0WQnZG6OftAV2/2VCrmKQJ9y1aRjy3avrZQut/h485M8/pguzPbykb7HKQt2co/495M4yX6xDfklIi5SG3HuDNLcMdcCskO6P3aOf4rI9OAYnJtq622wm677ZZK23LLLbHttttm0qtCFYmKoigTmQBg1tpwU8K8XlEURVE6gso1RVEUZbJQRqYBXS/XVJFI8HVnKmqF4CpjcFkuAE0rA9uagFoWUEvDOHL/xHmWCXHOClpBaFkhCNaJ9W2rzkFz1lyyOjBWC2VmoXjX2fypjKqs74q4JtNyrjJ57lSu65gWyN2ryyohzyIhcNnKA4hD2Z0ZKGchFYG6yacXfEjqLlgnthMf66eqA0YjRHHhpJYbk4b+oQj9/e48cVhvIPR9tb/v9rvoWmyFWglzqyvHcLszt0qVVoa+oU3MdpFwKHYZcy1fK8R2eiQk5yV58jwQgHwvBFNHKuM57wLqhSBZJ3aCaldvzrom53kXcHLd1yPBlKGeBj6uzraMl+R5ELkFRv+Q83A5VK4pBQkRp8Ydjoz+7rdSGnX5pS6pQI5rs4Eum0HdmW03ZxfUEpGrtKCRcFmUSV1nycXVx7JxMmgeJBFJ73+Y7Jvmybk6A2k3Z7tdBci0Mds53v50G0vCKEq7ObuQLBFNeuLWbI4FkH9r7tmEQOa9occ5XK72OdD+6bhTRqYBLcu1O++8s7UT5NBFT3j84FyH6PEqBw+uczWvGWYGCXbnPUopE8NUPpsxHxdmLk9DGEvle5kBR5xSHEaIoiA1MLEFfDJgsFykiroytQJ3ftt1liPPtVmKfdQ85jeo8BtwyHEZ7WtyykPWRSpnMJE3kAiYRxaHHuVIp89HsSG5MteP8UrFdsCdn7rm8eUq/uzqgGtKMzBc/3MRMe+heT85JWMcxogCOZQAkA070c5OG32XqDKqqvPalJkUdJWx07ky9jXz+gLcthSuJG8y0TevmTSUlI/1PMUnD5vPLO2W2y6ka9gTVGWgirv0NX0mBd1yXZpIlJSHLsWhS8ZzsjxPN5P3/SmFyjVFIE/pb75Vo2EMhH2mUHFlRV6adC7uE+Pt2iyt2uwb99CuaB9yK15Weeoq46tMzKlaEMjf1Popin2vXX0FTvYyF2xUzHFs2LFtYyviIvCKaHp7dvXJMdtt2SgNwzDt5uwDp0TMxUep6rxozvl8lNmN7ThE0nd1MS4KxnFSJLYbVSQqiqJMZHTApSiKokwmVK4piqIokwVVJE5OJK00dS0yaeZ/HyuEEQyk8ksB1FPnIu7L5n9qgWhbIrBWgzStgFVCbv4wSl+TsV40Lq3GwsxYKAJ1C4YgZamYtU5MzsNYK4Qpq5gYA57r4HIuVDS9foy3PJQsGYpaKOZZGphjAxjOtU6kx2wrRFcQdmOBaCwTOMtBapng4zHim980FXPdOEzvA2nrFslCyrhd+swmmudi3kXThooaU9iunTSNXo/7vnTC6kaZOvQMAz0u18IQ6LOaXM24qjSar22taL+HyTc6bFqQ2TO9QfL2tcfy1353uFV8m/WIMmn55+bzSqEQinoXDKOfTXeVyfQRhL4A4O+RAHh6JXgQM5Ha627ODWtVIuNNXYwrtC3n7UXYXFYltquzWQU6QIQBjBSqu2TBSuUz536df25uZedYvLci4UvyPBKovKdWiJynQUrG2oH4SVV76G05xFZPOywSFaUTFHHNZSygMi6b0qq7EPIASLs3l1m1mVaWs150BFqTrAN9ho0eloW55woBhPUFm3rDOGXlPh4k8jnsRS2sfy97QsiDBdcxQ1AgH9dm6hVL52vQA6BmlUmt2tzYjnKaj2SJaMR+4tZsruvbZmwrzqLlfSyFlXFnyv4s3MCfduRd6XnuzCMYyAwQ8pSHQHrQEEUBO0hIDQxS21YdIyI0qtRdhERI2V+ghkvBWBQAYZzUNQ4DS3kYJq4HtsCwBxvGFcrHdN03/qE0gJDSqasTp2CkgwipztlYhnKMJHuQ4OvalKc8pAMKn8FEkYFEUajJvH1dW8noo9ig72ZTYWi7zaVdCG0GMJIr2zmlhn2+MNVOWlNyFKYXsmuBMvkZBsDFSBTcY3pIJ9UoGWuhpVwMbCV/2v3ZTA653EcC8u7xFczimuABskr8dH6/ldldE4R2mitdmkgcbtxnnvtzngszF8pEUhiK/QGbohOJFDp5aK6dmuyxJxLTYU6oYjGZJLKrDtvl2fyavNAx3+s8haL0/eXS6USjjzKR5pH26USefdylLDTPox8jqX6BgS1DJgnr22N+ct7elm6f+0naoUhUuaY4aCUMAYBiLr1Fz2vr/uzy47Jqc05cRE5ZwylzOOWp67zSuScTnNtyQI5zLs3mWMxs07iadpuxz03aUo+ZIEYzXqK9arPvCsycEjEXqc0U+X77tKei52Rod8grJ5NUppUxsqyUZcuW4S1veQu22morbL/99jjyyCPx+OOPp/IcfPDB6OnpSf199KMfbWu9mrZhQWY/3flPp9cHCmGybysR2XxxkAwaRob6MZz8DSSWh3EUYHSoH2ONP0QBMDRQ/4tCYKiv8dfT/IsADFl/dL/MX8ScJ0L6ukld+hr1C4AowNhQP0Ybf3FjUBRHIYaHBpJ7NvcaR0H9uSC0nqH9R9PDJC0mfz6/py/mF/XPn7YwpPs0zR48hLBbS0RakKt1xejHMPoxjIF4GGEcJzGR+odGG3/1QUUQ1WMb9Vl/PUPNP0SoC0HzFzf+hlv8o+eI0tc1dQnjZvy3IAL6h8Yaf6MNZWj93gbi4eSe6wOumHku6dbBvaEhky/92+f/nuNCWPJPaRsdlWsjyL5j0veevtPWH30Hw7j5Dpp3r66QkN+9gcYffff6MYL+JD37LrrSbbJW4tn9Iu8jN0HIWSPa6fSLQWWTU94zX++ReKD+N9yPkaH6n5lIjKIAw0MDGBkaSPcFoqD+Z/oDpk8QhaRPwPQNSv2R8yXXSct4U69RS56PDA1geGgguR/T1xkZ6q/fc+P+eXkvyXb3808rbpv7rt+5SMwkrp3Rfa7tcnLclW7eG9rbMe9Z/Xha3pv3M4jGkvd2wHqfM3JektNFviHFDET96JBc++1vf4u///u/x7bbbotp06Zh9913xwMPPFDJLUwmxmuslvdNL+ThIbUTThEi5ZHySmV8rg+grvDrIRmBumLQ/EnQPAVfBt/6+5bPUzpW0P9spd9diTKJU3Bx1nYmvcizpPvSMxTOHQZNJWBf2PyToHns8j0hsUa062Pfs4HuS++HfS6pjLRPy3uSFxO77UrGsjKty8dr465I/NGPfoTFixfjpz/9KVavXo3R0VG8853vxObNm1P5TjrpJDz77LPJ3yWXXDJONVYURekiJqFgmuioXFMURWmBDsi1P/3pT9h///3R19eH//qv/8Kjjz6Kyy67DK985Ssru43Jgso0RVGUFpikisRxr96qVatS+zfeeCO23357rFu3DgceeGCSvsUWW2DWrFltqQO1XMserz8myZ2JS89dqZFxYbLdl+LGzH7iqkTdliV3FGkbHukuQqEcnTVILVvfg+aKabXkHsbCKHGJ6s2LheExQRAImQLw7swxQnCuqPXYe7JLk8+qzfb/NtStmV9NuWl5SPMFJN1ss6s7Wq5N9kqMrDuT+d+usk8bKjMZaH4mek7ahhrntl2u+sJ0bLeIcbtMXaNw1eQ2RIlRd8Hj2pbtDt8xE3puVlAZVzoq14aQnv0H5HeMxtihbjRWvh7rW56cvsV3r9/6l5INJdH8Lttp5jvdvLXmdz0P1zvJeRrQctz/aZnv7hfYFooAEo8EoBnOpL7NxEGW+gLNG6A35N73hcp+I9uTfctSxvKfGguNT5UJaWLCnMRJaJMMBb9jkoUBbSPZ/ez3mmLaWh5SKBP7OvZ5OK+EZnrTzZm6M0t9ASrvg/RjB9B4l31lPfc48vqSrhitZemAXPvc5z6HuXPn4oYbbkjS5s2b196LTlC6YawmkXo3rFjrvWGMsUbsPYQ5Lr7cvmsQ75K1nEzl8rL0AKhZJ7MLuawSuYo67pn2GULmmJTOlXdVQ8pXUgNRhRdQqf65bXEouTNz+Q32Pccg4+XGdkSuAyvd43nZ8RJt1+Qo9luF2S7T4/sbudoMl5eDu2fu+QnXN+NDu09q2/F3BZN0rNYlT7fJCy+8AADYZpttUuk33XQT/v3f/x2zZs3Cu9/9bpx77rnYYost2HMMDw9jeLj5lm/atCl1XFIc0sVQ6MDC3ubK2emuwcPIcL9beQhkBw228tClOPQZPJRVJHL7UlBY82FJPpQ91vGQVSrGYZBanMVelCUIAyDgA/HERKhwMezsgUSAOPXbUgUjVSyaPHQwwG1TBWFeGVrWHiRIAdYHGu67dnph5SEdTOTFRqpiUCoJFVqXAooNAI1Yio17DtMx3JpB/ZvxyzhoG6qnhanfx47PRgeZpp3YCka7nZkybSFEceHkiLutVE9b5Zr9/krvpatDZ5q4USzS/I53L7OcXImJH/vdsdPSSsX0O9Wqst4l22keu1+QG+84pVTM9guGMVBMeQg0XIdDWWnYronEPKW02aaTh8m2mUQM60pFEg8ZSCsVqbyPg/yF1OTF8prtheazv8VSv6DsQNXVL0gfayoM7bS0sjA7YWgfA5C4MgNIlIjmMTuVh5y8d31D8tpMWSW1ixbkGu3zDwwMYGBgIJP9O9/5DhYtWoSjjz4aP/rRj/DqV78aH/vYx3DSSSeVq/MUohNjtbKY2OtOj3uXTJSOccep1VAk5JMUQey7Y771NUchafheonPHKYHodpFzSGkuJaM0uZTKVm0YIR8FkxHDfdy3SLrnYSaPbxzZjExltnPK2y2AUyoCdcWiFAOxh7sv6kpMXaptRWDgke6rjPZVJlp0jeKQUkamAV0/Xuuqpz02NobTTz8d+++/P3bbbbck/f3vfz922GEHzJkzBw8//DDOPPNMPP744/jmN7/JnmfZsmW48MILO1VtRVEURWFRuaYoitI55s6dm9o///zzccEFF2Ty/e///i+uvfZaLF26FGeffTbuv/9+nHrqqejv78fxxx/fodpOPFSmKYqiKECXKRIXL16MRx55BHfffXcq/eSTT062d999d8yePRuHHHIInnjiCbz+9a/PnOess87C0qVLk/1NmzZlOhZFsK0MaZrszkRdnkKMDDdWdBSsEDLuSy4rRB/rRJrGkXfc1yrB5KHb7CwdsU5sQGxbMoygMaNMLBOpe5NkbdhMy7rF+ZDn2sxBLQxoeTvdDrRu79e3o2SFSs61iVolAHXLBNYKkbYTH7fmsi7O9k/jco232wlXH8FCynZ5riNbSJnnx1km8itqpi0ObRdKatU6rtCZQaWraLtcM4utSFCrXzvEAJ3xltxu0Ey33z3q6mwsyoazxj/W5dMfDd4amFonRsk2tfrlrMvKwMl3s815GgBZy0POOnEY/aCuzF4eCbY3Qv1izf+LfKfLWJhx1g8+Xgj2drLfU7dODJteCMgLadJgOKg3JFv+2VDrVmqparcjuw1JYU6KInkcNOV+9rjkppy1OpTdmQeGG30BTt7nWSG6rBNdngmuNtOOxVZakGvPPPMMpk+fnuxz1ohAXSG277774rOf/SwAYO+998YjjzyCFStWqCLRwXiM1apwZ01wWUD5WuS5xkaSRZnB24I3ZVuWUzEPsyW7v0373nnPgJbhtl3lpeOEwLZMt6yyK/39CWkZb22HAcSRqcvyULpnh8dVoW33zaSuYawLa6TNUWvEHuk341yOab4i70/ePVCrRZrme54CdDQM1SQcq3XNLS1ZsgTf+973cNddd+E1r3mNM+/8+fMBAL/+9a9Z4SS5MUjIbk7pAUJRdyY7j9Odeaih2LDdl7gOXtGBhI8iSDomCUlzLM/0mn40aUtL8tlxFMNmXKVBuWcaB+mTuVZftAca3EDC7NePp93mKHnxkmhcpPQxqjy0FIFE2cgpH9Nlsq5N/UNjjf0cF2aanqeQlpSMlLx2wh0z56culdx2jmIjWW3MUmyMDFr5iEKRKhO5wWRa4ZttR1SxWN9OKz06Qpm4G7X8LErrdESuSR1XW2FooO9XTPKFTD7p3UN96JJOqr97AxhJQgwYZZAhJh8FLkSAy+XU5x2jMUzT1+flffZYs7wUP5G6OYthTkhMZDORODI04FYe1i9ebPLQte2Lq09gb0sDI9qWQiAZ6BKloh3aBIOCRjzIVzjT/Wy7aU4E2m2rWTbdrqR+gEvx6BP+JBsvkZ84pIrFgbj+bKTwJYkS0Zbt3DsM8G1JmmikcLfv67ZXhBbk2vTp01OKRInZs2fjjW98Yypt1113xX/+538WvPDUYTzHai25tnIKL4D/rpVRpOV9B80+Pb+d7qRF/0ZptE+fizgh5Hl+X6VS12gfSsApEYeFbdNk876Rdpsx7SEg20C+bIZ1Tasfx7oru+phX9M+xikWqYLM9f5wrs55bZDbtutXcqjVcRfoMjIN6Prx2ri/yrVaDaeccgq+9a1v4c477/QKdPzQQw8BqHcCFEVRpjRFOntKR1C5piiK0gIdkGv7778/Hn/88VTa//zP/2CHHXZo74UnICrTFEVRWmCSjtXG/ZYWL16MlStX4tvf/ja22morrF+/HgAwY8YMTJs2DU888QRWrlyJww8/HNtuuy0efvhhfPzjH8eBBx6IPfbYo/R1OU00F2idy+9arIW1ToyDjDvzaGKFSKwQqNVhnhViETenIpYJvlaKeTNZEdmn2yma9i1jQ6hbKgxmc42gH/3WJCZ1VZasWjiLBBq4P20dQ1d3bpa3r2dDLQ9cC7Fw23TVZrOdXmClubhK/9CoO8C6ZIVI24mPe7PBd1JYymfPsgEZC8PUtbnZXF8LqaHmIiwYRGomKPu7ZS2RpMVSsis2ywv5FFlRtjSTVDhNZDoq14bBzxznvbv0HbJnz+m7Z5cnFo091m6TpjtQEKQrQi29JMvfGM3vsiusgDlf2VADXLm8hdbkECbN9OFGKA66uMrw0IA7nEn9ZG4ZX8Q6kdsvCm1PPtYH9rWp/GdazRjqFpoAEIcxBoh1orFstRdgcYU1kSwMqddBlQus0DRO5lMZ7/JASPUF8sKXDCNrhdi8Sb4vAGTbko8XAk1vh0ViB+Taxz/+cey333747Gc/i7/7u7/Dfffdh+uuuw7XXXddey88ARmvsRqH/W6wx5NFm+KmlxNd8dhloZeXx1WOjnuk7yal1W+0D9IYzGURxuXJG88VtUqcCP1X+z7N945zw+X6Yyav3cei/S2undB+mOTebL8KVTxLzurQWBDmjeMDsl20Pj7tkMF0o+IwSPXZKHYfreNM0rHauN/StddeCwA4+OCDU+k33HADPvShD6G/vx+33347li9fjs2bN2Pu3Lk46qijcM4557SlPpySMCINT3Zh5t2ZRob6U+7Mo0P9/oMHbjBRZCDBCacyAksSiHmuTVwLo25PKWVheoCRKFyJQjE2AR6Iy1N6IGEre+SBBOfmxJHn2tzMxw0seHcmTnEox1JqlIlj9A+N1tMjyO7MQ0gLKljbeS5P5hiXzu37ICmiJfdKqvz0/Fpxio3+odFmGwrQcGxuujdLrmecksMMUM1+0VVkK1cqTlLhNJHpqFwzHVe76dH30/WN5t4x6d1ztLOeCAhT3+mmm7MdM5FOznDfZVsJFFhylcZBtBX8RcibSKT7tryn5cUwJ8SdGUCiRBTdmYeSkzbxnVR0bXP7vnCynxsouyYOaT1M2mDaOd6ORjU8NJBRJgJAFEgyPjtZyLsz25OF2clDk78oVO5LMp/m5bZNv8CUGRge4d2ZqYyXJgxpOph07hi3TYkxYRWJb3nLW/Ctb30LZ511Fi666CLMmzcPy5cvx3HHHdfeC09Aum2sZuBXNM/GwW5kTv9vtn0UYXmKNO7bR89lcCkXq1Yo+tSf+5/mK3IdmubaTtJacFtvI3Gjrn30G0eViJJy0ff3tJ9fTNLQOI9PV4f24+wyLuMOri72NqcU5FyTJdkfOPLRc0v1oc82p202p+Oy/bZxYZKO1cb9lmo1t/P33Llz8aMf/ahDtVEURVGU1lC5piiK0v28613vwrve9a7xrkbXozJNURRFoYy7InG8kawZsgt4pM1lc60TLXcmY40Y+1gh+FokwiOdpoE5ngdnRWanS9u0nMtCYYjJQywVRof6U1aJQdT8LWQLhbRrE2fVwq3aKFkoStYKrqDsnLVBduGVtHWiZK1I3ZkByxrRzIZJ1oZ5Voh5gdal9uI7iUjdmQ1cmzDnpBZWkoUU424JZBeCMK5h5txpN0q3FaJtLcW5L3MzXZK1lK9lqze9KB7AN2+JdGXiQGUFxZ7hBslnf3Ptd6yk10dP41tOLRNDY21Q4L2zXU6p+7IUMkCyDPZZeMXepxaHNOyJtMBKyjqRuDOb7ZQ781Cfn9eBZIUo9QXA5JX2JTgZTsvT9kMtKOw83Ld+CEDYsCEP+xIZbz5P5rnZlon2YmucK3z90kHq+5u2dg2TvNnFVlqX+Vy+PJlfT2cWXosFd2bTZ+LCl+TJfJe8t/fpLbraTdVWVIDKNaVaXFaHrjw+o2TpO+j6JvqklcU1JuPySlaIrnRum7u+Tx0tgjBKXNPHi0RuBAH6MZrNkHd/5jhdkIWOVZhxS8aKkbYP7tH4PO88i0bpfZCsA2nboC7NrvwcnDs1t8/dw0TRZJWRaUDXy7WJ8vjbCnVbaqZnXZb4fUapaLkzGSUiuzrzEPwGDz7b8NyGRzogm2XTD6C0LQnhCGzswxRDyCgTY0t5GFtKITqwSCsPmwMBl/LQzi+5NeUpgKji0HXMHjA0z2+GovZgouHq1FidGUA2JqKJjQRkBwkm3RZo3ABDaitl4iXZ5CmijVtznnAtq9iwLzeUXs05DiT3suzg01YWGpdzO4abfZ6OxEW0KWMu3+WrgCkFGIEckwfIKn7o+yUNZDjFPc0vtLueobQyMUh9r+X3zlYecu+Ree84Bb1rpWYXPvLfTpOUjCmlYmYikcREHOozJyiuSKTbKLDtSrPhZD83OKUDZdfg0gfzXAbTfefIlv1hkLRtTnlYT286N9v7QFZ52Io7s9xXiDPHXDK/uW2FNZFkPufODPAxEosoD/MmE0Hy2Ywwaa2ick1pkSCMMJoopawYiS5lhdTuXIo0OrktyVRXe+bK2Om+uO5F+j5L+VxlpOvmPVvpGHvK9PexXdBJQPGDRhWE9r6k4OKUivR89Fttp9M2xF2Hti1OKen7LbXzca7EoXUsT2HNKRi58lK7kJSLTJpxQbcNi7qOsv2iLpdrqkgk0HiIeccySkUrLlJkWSSM+Voh0vQiykPX7DI97oM0kKADU2lQQYWrvc1aIZLrJcrEesYxazCaGVgASbzEvEVVzH69SHrw6sJ3wJEeGGQfurQIixlIsMHXoziJkZQbYN1uQ9yAgwotkGNgytgUkedcXmqdaLcBo1i062DyuBQbUhtqYKukYxNryloEoqm0kJWHtoI6fTvyMY6uiJHY5YJJKcAQmhpzA1UEce9XRPJJSsWSmG9UiOY7B2TfO9sCnC6qUk9vxiPNvnvyMY68PLaM5xZcaUaxzU4y0riI9uJqqZiIkhVikUlFMPm4Y9y2D5zslyZ78gbNdABCt7lv9lBfSplo4ksDbm+ErGKx2baKynzOQpHDbqeuY3kTiZl4yZLMp/KbeiP4yHwuHWTbNYlI94dQPSrXlBKEiGWLtjyFhEvBJik7TB5pgq1CmeqFSyEofYO5/2k+eg2XglE6F7cNAGENvR5WiHI8+XwBRyf9qKeBRBz2AgBq4Rh6qIUhVSiabXMrNL80KQshnY6Fyiiii8JZE5ptWzFIlYp2eVdb8mlPdrpUH26/QdfERKRMUkVi73hXQFEURWmBoORfCa655hrsuOOOGBwcxPz583Hfffc583/jG9/ALrvsgsHBQey+++74/ve/nzpeq9Vw3nnnYfbs2Zg2bRoWLlyIX/3qV6k8zz//PI477jhMnz4dW2+9NU488US89NJLyfGhoSF86EMfwu67744wDHHkkUeydbnzzjvx5je/GQMDA/iLv/gL3HjjjaWegaIoitJmOijXFEVRFKWtlJVpXS7Xukxd213Q1Zj5lRr5uEj2Ks2JO5NrdWaAt0jIs0jMs07kJmqKWicAsoULnSVxzVLlMWSVMVYKyTV7YOJKjYG3UAiCOGWFIMVFois1+tJKbLuUm3LKtcl2ZU6b8Esxknq4398nRiJnqRAx+QxFLBJ8kCxapbgh1DrRhyHwFi5B02irbsTCx22jrpa2pWHTWiody7LoqrGVx0jskOXG1772NSxduhQrVqzA/PnzsXz5cixatAiPP/44tt9++0z+e+65B8ceeyyWLVuGd73rXVi5ciWOPPJIPPjgg9htt90AAJdccgmuvPJK/Ou//ivmzZuHc889F4sWLcKjjz6KwcH6D3ncccfh2WefxerVqzE6OooTTjgBJ598MlauXAkAiOMY06ZNw6mnnor//M//ZOv+5JNP4ogjjsBHP/pR3HTTTVizZg0+8pGPYPbs2Vi0aFHxh9FNxMha/tr7nAWw+V+yAJZcmO30vPAUjfP2wLxzQPLeJUbkQeadq/8fse9VM/xD8xtfFNsSwac8t+pfnvyPLfk/OtSfyK56WBP4WyHa29IxMOn0GLfviyT7zTbXFyjyPbK9E+w2Zcl4O0ayK6yJbWlYVOZLfYciSBaI6TwRmy8VOzGO82U+wIc1keIn5lkhUtdm+rhcj6MdXodqkah4kLVMk1ZsriFluu+0kBMuZn/f6DeR+w5KVmTS97SK8jRNskKUxmou6zBX+TzLTdf57OSS8RG5eLR0bYOiZNycA/K/qf8w2bbz09+S86yyv892GVj5fb+F9Lz09mnfkENqPzQ/Z50oladlufNx5aXzWdQcz4Zaoo4rk9QicUopEpvD//RAgotxlH+eMNlO0q24SJnFVWx3Jjp44Nych8h+qwOJsoMKSfnDKX7sR2c+Zj5CjBuQ2s8BjTxW/CQuXqKJndQcPPBxkWzSv2WcGhgGZNvkG8BISulHYxxxbksUW6mYiotkKxxJjKQ+W1lob0sKQymWkqRUBORBhjlGKdKOOAFm2gmnPLQFYp5iw25DdpthMJFyuLhtsqslH5eteXtpJWO9fFPhYW9PVC6//HKcdNJJOOGEEwAAK1aswG233Ybrr78en/rUpzL5r7jiChx66KH45Cc/CQD49Kc/jdWrV+Pqq6/GihUrUKvVsHz5cpxzzjl4z3veAwD46le/ipkzZ+LWW2/FMcccg8ceewyrVq3C/fffj3333RcAcNVVV+Hwww/HpZdeijlz5mDLLbfEtddeCwD4yU9+go0bN2bqsmLFCsybNw+XXXYZAGDXXXfF3XffjS984QsTX5E4jKxrM+BW3Jv0VhT39sQPvSZNttLpe2eHFWiephmDVIpHWhXSwimu2Il58t+Oi5haXG2oR5b5rnRJ/oOk0zS6ze1L0PaTN1CmfQHXQJNOGBpS8r4HGGw2HPvZJmlhkLjKU1kuxUK0w5/Y3/XKJ3jAy3lX7MTmxGGciovIynyzTZWKRWQ+J+9dE4hSGhf/S1EqhlO6i4pD1JVSxmV2DJAVZPZ2EeWZ2ZYmUTglIU2XlIUcXPm8fV9FYp4iqIi2wOc5p/KnPypBwA02OocZ99ktKwpSUTbr92C+e9T9tqgocSkYq+zySOfzaT9UeUrzcEpFqhT1yUefpdRuiKWecUHP0+FQAzGlddS1WVEUZSJjhHCRv4b83LRpU+pveJgfEY6MjGDdunVYuHBhktbb24uFCxdi7dq1bJm1a9em8gPAokWLkvxPPvkk1q9fn8ozY8YMzJ8/P8mzdu1abL311okSEQAWLlyI3t5e3HvvvV6Px6cuiqIoShfRglxTFEVRlK6ijEybAHKtyBzDlIJaHUhWjPXjjXzcAisAMu5MnOWhSS+62IqvdSI97koz0JkVaqFg0iTrBF84CzLqopq6N37hlSAKEvdmIGtRyFkXFlmpsYzFArtwirCdOUaCrbNWBMaVie7TfJIVAmfRCCafTRELF6nN0OtwVohVtyHrfGEIdgEI29VSWvDBbPtaK7adMjE0Gvnnzp2bSj7//PNxwQUXZLL/4Q9/QBzHmDlzZip95syZ+OUvf8leYv369Wz+9evXJ8dNmisPdZsOwxDbbLNNkscHqS6bNm3Cyy+/jGnTpnmfq+vgLBIld2Y62+1rAWzPllMrMvs95d7DMLvwilkgK/1e2avs8g2arpjeKagrc7ovwMn/kMh/EtbE1wpRKlPEOpHbl9KppYydzrUnO51aD/jAhTOxrx1lF1ujYU2oe3O9uAlMkQ1Z0U44C0RXPmnBgCAakxdYsWU8tTS080keCb7y3mXVSm+tHRaJLcg1ZXLg7bZMy3EWbWEEceVmySLL9U2jeezvYFHLQ3qsjOViKxaFnIUi3abnotuSpVpevRpwC+TYXkHtRvRAMIt5ojleQIjsSs3SWCcm21K/ilr80W16bhsfuVuk/dhpkoUgZ21Iz8O1BZ/3SXKhFuoZkfxFQ950zP25jEwz5boYVSS2CF2pMRMXEah3hn0GApxSsYgiESQd4D88vvow1yBDUh7SQUWecPJWHtrbfLzEOIpTrk5V0zSZHnHmK4sZfIhxEemAwWzb+3TwICkVpfIA33bogMMXyZ3ZYNqM3TY4E39fxYZnG+qJmLhtoK6WfJy2VumKVZsbfaJnnnkG06dPT5IHBgYqq5bSIewYcwapM2srGLl3r8j1BoV9en2rk2ziJRr35iigq6TbCv3sNn0fbaWir7ubhE/IEy78CSf/03ERe4rL9SLxksGk02PcPgeXh1MicspD2pZcA01XOBOg+R1P0poyn8ZLTJTSltxvqpvN7xanfltb4Vi8pQA0nEn9triBsJ0vu00VjnYok0xcREkpSGW8r8zn8tj/A3y/gGJfs0pakGvKxKY5wVTs7eQU+IHt2tzMKG+7FB0+Yx16Tk4p2A4kRZCPIpD7n9t2KVjzlK+eyk1pxe12hJ4wSHIg0/839bVjIpp0ukJz/QTyOJqOaapURBeNqyjlLeKaLOXhtum5pXrS6zsUik2Fr5XG9Nd8aJapWKCUkWltqEbVqCJRURRlItPCgGv69OkpRaLEdttthyAIsGHDhlT6hg0bMGvWLLbMrFmznPnN/xs2bMDs2bNTefbaa68kz3PPPZc6RxRFeP7558XrFqnL9OnTJ7Y1oqIoymREFYmKoijKZEEViVMDl0WCvXJjajsvwDpnUTAkbFOLhCIWiS6LhDLWCYA8syZtF21R1IIsFWwdaasXeyVny73Jfv62q1PWIqE16wSfGTHXioyhsE0DSNtWCSFnRWCv1GgsEDkrBF/XJskF2uSFdYxSpB1RqxZzfmolVXUbMttkNoxbACIIeFdLbvEHzu3Zh65YtbmgYOrv78c+++yDNWvW4Mgjj6yfYmwMa9aswZIlS9gyCxYswJo1a3D66acnaatXr8aCBQsAAPPmzcOsWbOwZs2aRHG4adMm3HvvvfiHf/iH5BwbN27EunXrsM8++wAA7rjjDoyNjWH+/Pne9V+wYAG+//3vp9LsukxoxlB/j+hEvmQBTN89WPmk2XIO7r2zv9F2Paxz2GEFwjBOvtf0W2iHDqgaTpaXLu8j/6WQJT4Lr+VZJErWidw2ty9hWxrSfckK0RffcCZ2PofMB4A4yF9cjSPdFtrjRueS+QazUnN9G7IVoZ3OeSDk9Rkk12b7vLS8DfeI2jHQUUWi4olkiZ6xbnNZ20n/521Hwj53HReSvPW1aGzFItHH8tBlaSjVzWWpmdomVqSCkKo6RIUk+7n0OLQWvDQWiJyFIrVOhJVOv6l2f0t6Np2yaDVIVn/GojAk+2bbtk70fbcky0WpPXJ1InC/XVFX57ahisTJi61UcuWhcZIAZFZqHrOd9WlcJJ9YSDSPb/wkWPvc/3TblWaQlD/SQMI+X4j0S0O381bZddU/AqTYSbarU91trpjC0DWozHNtdsdEkhSMEeiqjfZggo2RxCkF89yZh0l5OtjglIdS26G3mdeGaBmXeyWQbUOmvJ1O6+DjXknqlTzbAM1nHsZkBeeokSXtainho1Ss3LW5QyxduhTHH3889t13X7z1rW/F8uXLsXnz5mQV5w9+8IN49atfjWXLlgEATjvtNBx00EG47LLLcMQRR+CWW27BAw88gOuuuw4A0NPTg9NPPx0XX3wxdtppJ8ybNw/nnnsu5syZkygrd911Vxx66KE46aSTsGLFCoyOjmLJkiU45phjMGfOnKRujz76KEZGRvD888/jxRdfxEMPPQQAiYLyox/9KK6++mqcccYZ+PCHP4w77rgDX//613Hbbbd15uG1kyEANZLmUtzTd892e86De++kd06oix1WIIji1Kq7EnRV9DwXZte32Of9sxWMnMtzKflvb3Pf8rLxksGkc8fg2Kdw7Ye2G7Ntn9M1ADX7pcKZoPk8QyTP2ch8oO7aFAXNOMhU5pvt+u/vDk/iypMn500e3/he6ZjI9bQklAkn/yWl4JAjn49SkrYp1yQi3ddVm5UOY/ebKax8CGMkMRLzFBUuJRuXh377DLRv2wlcShef77Prnl3n8lE4Zs7Z7LgEYVYoSd/aKuImSt942g8xMqUfo6g16t3DxUfkXJvt398oC7nvcCCUAbJ9LgnJndm+hg9S+zF15BSGUpvxdY2Wykj/k+2Y3LNLQTxRx1/djD5RRVGUiUwvigfj7S1+mfe97334/e9/j/POOw/r16/HXnvthVWrViWLmDz99NPo7W2eeL/99sPKlStxzjnn4Oyzz8ZOO+2EW2+9FbvttluS54wzzsDmzZtx8sknY+PGjXjb296GVatWYXCwqV246aabsGTJEhxyyCHo7e3FUUcdhSuvvDJVt8MPPxxPPfVUsr/33nsDAGq1ekd13rx5uO222/Dxj38cV1xxBV7zmtfgy1/+MhYtWlT8QSiKoijtpUNyTVEURVHaThmZZsp1MVNekShpp6lFglierNScYFZqrp/Azwqh1cVWOIuEolaIUj7JwoVaJ/i2qDzXpkywdfD3GQKwnj91dZKsCmKHdYJkeSiZ20uzY3krN9bPSVxkLasEAH4WBZyrs32MluGsG7lzA1lrBVqvPLg2Q8/fqmuzDbVwMdDZw6iZFobNGS3bQsrX8jBEzLYyKb1yyjyzkhO6S5YsEV2Z77zzzkza0UcfjaOPPlo8X09PDy666CJcdNFFYp5tttkGK1eudNbrN7/5jfM4ABx88MH42c9+lptvwsG5NedZAJs81LWZW+iIe59s7PeZBtM2x4WwAnEkL3Rkr5JexvKwKC43Z+oKza/UHKC5wAoj/+1t39AmdrqP/AeTDuZ4Hnmyn7OeKCL7fUJRSPdDXJzN8+fCmkiuyi75X5YiHgnUC6Fe/7FsKJMifT4j1yWZL630DJLO9T/MOSTa4RHeQbmmTCwkmWD3p4G6a7OxdBtFv2UB1yNbzUltzjUGclkBdppWLRIh5HOl0+v7PBsB6o4ufVdbCRHEeaWx7sx5Wh9zP7aFIh0TU2ttOx/X36IWrZ32yqVWiHa6ZFFI010uz3nWqjSd3r+1X7PKGctR+zcz/iscPu7OlS+2WXZ82+VybcorEik+JrFO81hppcainUIaI9FXqQgmnR7j9iU45Y+kPKQfQ0mgFHFt4gYWqXsWOgQNuPhHdPDgGyeDUzDybhXZNFup6KNgBJiVmqny0E7nlITUtcmlVLT3weSjx+w8PthCE0grGey2IbkwFxmwcooNTjg30mxXS2oi7xuzrerYLYXQAdfUZhhZ12ZAdq+RlIdSn2kI/u2LGzRE2XQTVsBewdmOT0qxlTCZOFjJC5+/wqfvYMHugHKynlupeSwVF5GR/0B+7ONW4iWDpNM0aV+Cyn5JznN9AW7bN5yJ2c7ERTbbPcnJx6I4ef52WBP6k6blP5Xr/nGyOOR4XpEoF+jkIYDmSs31i2cVftL2MNn2lfncuUDygaTRbUM7ZsxUrimEPFfXEWEfAHrDuBlqTFKw0eOubxr97tHvJN3uFK0qEn236XldyiBXXVD/bdJF+DFUu8iOCbNjvTjsBYYbLciMH8z31XbHpYpDKjftdpLXZsbje1YkRiJVEtJ0rjyYMlLsRVonQckZh2mTPdpnkw3GOqylVUWioiiK0nUEKD5r2SWxhxVFURQlg8o1RVEUZbJQRqaZcl3MlFUk8lYIVIvNWyRECDwsEiBbJLqCqrey2ApnnZg3kyylS5aIJk2yTvChZdcmup22TpCCr9vIv788te5jSk9nzSSLRXOulKViY6EVdqVmKfA6587EWSHkBV6Xrgkrndt2pVErQDudWh1yM3NVYM5HrVvsOni6WtoWT/YqzunLpd2Z3YHAK0ItN6Y2tkUitTYE5Flwap1o0opAZ5i577ftWm3qZYcVaCx0hAH7VGkLbvpOcRYnZayCM4HVBetEbqE1J3kymusLuMKcFJX/cGzTetr4frM5K8Q8TNuwrRO5cCb2taX7zLmmWVzF/FZU/pt024a1jHUCbXPSAhC2nKfHMis1A02ZzN0/dVOW2olL5ttWM9I14dg2mHOqRaIyTmTeJ9pXCy1ZkSzo0ednXeezHSHbVtvVn/WhaotErjyY/Hnl2f3mRyWkK2wjv69cVOb7fOOp27NtnWgcDvvMQe73te+f87Cyj0n5mpXpPFL7oa7JtuUgtU6EkIf+n3curs1Z+3Y0Oc7qkPbVOm6BSFGLxMmLj7uTvXIjgCQeYhQ1V21EFKDwSo2u7bxVHLltMOncsTy4AYY0kLDLuIRLUdcmb0WieeZBJmaS/TNygwpfN6f6saZA4ch2aOLUNicU7XQTHzF3pWZO8Sfly1MqFnFttrd9Pmw0D3Vnptt2fYCm4OXySVDFBld/k24JLh9XS8m90vW7K0rbidAMxkyVP0BaYUjfI/otaWUwRMtKMYOk4nF6xXROSeijqPdBUhj65IkRlpP/ZrtM7GOfMiDprjQJLo/5/aRvtv3bSoMEGmczr29CYyTnyHwAmfjIdKLHR3nI5fHFpTyU0k18RJG8vgAXysRX5ps8kmuzJO+5NjIeA15lSuE3SUv6YkE6XmLKtdmlFJMrkc0nKd3GiyoUiVIZ17l8lK9ceaTjItq/GaXqvnWeYslWKtbDZjRakBmbmG+tNFaxt2PmmD0m6UZFNBcj0VYY+igV6TYXS1GCi6vItKckpAmy/TafMb6u5Nwa+vQIdiO0rRDS/6cf25hvgPUig4eyMRJdncGiHUBJSSht57Um3wVWzHnFGEnSdoixKC1omnEt5UFFK4MHDlthKCsPmU6QsUaUOvmc1aBZXIUbMLjiJflYJPoOJIq0IZNmx2Ur0obyoALHrhtVbNhtuICFVHPfnLwfReK0VQ7thPigA7/JwwiKWSQWVc5L0HeWyhrm/Uq2G8fs+KT2Qkf2O0WtyXwHE77vpC3z7TjIzbR0TOQ4biqv4ij0l//2NlUS5m0X7T/Asc3tUzjZL7UnnzZkx9mkngelvBDMdlPmU28EBLz8T/+eI97yv4glOTe5xPUL7MXV2JjIPn0Buu0r88Hkt/MB7jZkygPAKHOsVVSuKSWhC64kJNt9Vhqy7UxShHHfvSKKxCjneCtw5yyrSCyyXaR+mefM/060r02pQqHoUjCJ243699mxEYH6fdHYiBL2M7RvQ9puFVNH33NS5aG9TRWBdhnfNpOnWOa++/YxCzumvfSbdRVlZBrQ9XJNFYmKoigTmbKdOkVRFEXpRlSuKYqiKJOFMjLNlOtiurx67SFlXeAxC5EpQywSEqSVGvOsEFxWh5I7M5cO8NeHY9uFnc9lkWDnl2YfiqzULP2fu113d5JWcWRX4mJ+83Ratkz99vJnz6T4SfZ2gDjl3uRcqZmzIjDbeZaL1LVpiJSnz5tehzvmg53Px7XZvg6dsXNhzsHF2aJ5jFWUOU4spIwlouRq6XKxkbZpmUoJoEHppzIRgB5r22Dau8u1mYYSsMtwcBbGnDwR3q+MdVuAJD4pfafS71LaupC+W6Y8Fzuxfjse1gYumd84lnGbiQIkgXry5L+9XSb2cV4ZgP9NXL+TBCf7pW+2ZKXDyX6pbmabWif6yPykL5Z1Uw5yZHleW5AsGzhZDkjx2tLHMv0Cl6VgXl8gL0wJt009Few8IMdAjtF0V1qrqFxTwFuWu/pg9jE7DE0QRhg15whrQNiDDL7WeXSsY/9Pt22kvqkLzuLflU9Kq9oikZ63iOViiPpv0CAI7e8kf6MuK0SfFZ1dMfCl77ydHgUB+hum17XQCkHVrKCpTPN7aW9HzLFWx+hV4tN+fNyZaTrd5t4Tl0Uj/Wka+zVb9RJIcjzMpNFjyTk6ITzKyDRTrouZkorEokiDCIAMJOqZmv/T7UJKMZSLkUg7gXkfJ9cHS1ISStuu1lR0gZXcGEnMNgAaM6k/yWbFuhiHt5IfFNe3k5h89DeTBgL0/iUloTlmtk0VhpAdoEjXgZUOJp3bt5EGnJJrs630oJjydGBK62ApKRI4xYZdH7M90PwdgihOnSPtytxFcRDVcmNqY7/P0vvGvXtUIeR7LRqKgr5n3DXtdy8i+cwhstBR85RuN6d2kBpAkI6pHYe3niE0Gf3lFXfMtdhK0dAm8Nx2ISl/6XZeG+Jkv2uBFbPt/TybCkI7PnIcNAeO4yH/XRNMZvLQLLTSqJjcTnz7Ava3gMp5LnZihGxfoIhrs0lrh2uzyjXFg5SysLEtuTb3NrbHwgiJe3NZpRqsbSpLx6MdtluRiJw8RRSRDXoF1+bm5VpTHkq4lYrpY2nX5kYw6mErVmI9U3rb1feyv6NceSDznDpCXvuh8Qol5R8XFxE5+VzKR+G9iwLr94A8KciFqxs3ysg0U66L6fLqKYqiKE50wKUoiqJMJlSuKYqiKJMFVSROXrhg69ltK4/LIqF50uJWCJzVoZSvKusEF3TmRJpl8aXSlZql8ukFVxJ3p0B2WaaB18sul2Es1nzcnlLbDauEkM5WuSwHXEHZJSsG6s5s588LxA7Htgtu9i0Stn2hFi4h0m2Lm3Ti2q/t7jnQ3LZdLbkFH+wVZE0+eztvkQddIUyplBjNVZtbDSXgg+s7YF+HLrBijpM62Cump0/ler/SFiitUDTUSRwFSfiMMeqN4CuXfeW/nScvH0geV5oP9HsptSE7n0mnVuMuj4SIyeOSa4L8H7N+lziKgQFfl/am/G8FbjEVqS+Q5IuIixyV8dI9S5aGRd2Z7XRaRnrPOUOgLjLQVyYP3KJF0jGOVEiakISXcVjKIS+fZGUFlOvT2ueUvtNhzjFpv10Whb7Pj6tXCMByZw5D1++c/a5WhbTopuwK27BwD4A+Y2EI+C20QuWobYVIb6vM95Tre8XkuG/7MXAWhT7uzFw7CZh8UhmuHo58kt6GI29Rlq5dqKWLmbIj2jwTV840NtVY7YFEIzafs1NfZJBhbxeJkchdP0/54/ouS8LRZyBBhVORlZpN/lLPrBn3pP4b1T/8KSEguDnRD4iPUpEKNtmdKWLT2fiI0oCBu2eTP8+Fmbo5STESJeWhayDh24aoO7N9nLu+LagprpU+OSFmC1ezLbThRLFhuVqOBNzvmY3XRuGUilV3htCL4jE0evOzKBOEYeS7Ntvvnn1c6sD5dmTt89kdVS4uotmmdTD7A2iGeQjs98v3XfPvfXOdTckFhsZHBqwJKkn+52375KMyvkhoE3huu6C/n92eOJlvQ1dpNmn2vqvOhfpM5vkHqTiJcRwkbUuS/1TGF1Uq+rZHKZxJcg/2/2abyv+8yT6TbvcFOHdmqlTkzkuP0fq56l4VKtcUT1wKxsAOk5G4NsfNGWNYsRI5pZo0vpG+gVWMqiUFE5fOXa8qRWJeGXrcJ19y3jjXnXk8QghlJ5ksN+dGzP04HGuu3AzI/R3q8mz3xaTfkPaRqiRA+psuXUdqPz7uzL7KQlpeSiftxsRGjMPm7wGk+2yGvFjHHaeMTDPluphxr94FF1yAnp6e1N8uu+ySHB8aGsLixYux7bbb4hWveAWOOuoobNiwYRxrrCiK0kWEJf+UtqFyTVEUpQXGQa798z//M3p6enD66ae3dqJJiMo0RVGUFigr07p8vNYV1XvTm96E22+/PdkPw2a1Pv7xj+O2227DN77xDcyYMQNLlizB3/zN3+AnP/lJ5fXIrtoouzYluFybaLqv5QHg787UqnWCCzpjUsQigVJkpWazXfTekv+Z38rh5tROfFb0Dei9cFYArmDrkguUVIZbbEWyfCwSeJ2Dm3WjM3b2vs+5pHYE1Gd7OGtFacaQ7kdI3Jzt34X77bjZ0nFZhKWMoOmKL//kpmNyLUbTqMLHtZmzTvSFLqwizaTbMoIudDQA9r0MYyA2i08M5FiZVPSe+cr8lLUiDWvisqiTtovK9TKhTbg6FYHKe+n7mUee7Oe+16Xkv2V12FhoTXJXa5dLk68rZiqcicsiME+uc+nSM+OsE/PCnIDZ7pRrc4fl2v33349/+Zd/wR577FH+JJOc8RyrSe9Syn25sc2GpAnjZHXgUdsO2dc6LxLSQbbtBSTbRV47l+rmshr0sSisrHxzxWag8dukFljLCivfPrgLn1AXQFpumO2A5Emt3Bwi7RVif0Pt9mP/L/1G7R5C+Hwj7TyStWCIdH+PsyIcYPJz+SCk07ZFRLRZrZn+loXD1XXKYrGsUrDLx2tdUb0wDDFr1qxM+gsvvICvfOUrWLlyJf7qr/4KAHDDDTdg1113xU9/+lP85V/+ZcvXdg0kmmn1x2TcmgCqTER2O2/wUGbA4RpkcPWQOtzISTO4lC1cy6GClouTBOSv1GzO5TtIyuw3fi8rlqXk5lTfz28DLnwGuTRWUtLRiWKEtOOed5+0s28fo25L9uBBipFIy0DIZ6fb+LYhl2uzfS6Txq3OTK8XkP+LKDboPpBWcliulgiav6GJ2WY7vxVRKlYeIzFAcaVQl1j6T2Y6JtdsN1La/k2apDy033HpfXO5v9Bvti0juHfP1IV5/3siJEr8MI4xEpjLp98jn3dPwuX+kk4TOpwNeZKJjWj/b7ZbkevcCs7csSJykdt2QeU9982WBtdU/hdZqdneLnifY3QSMZH5Dnc1oYH7xkvOk/c0TyacSbMiaQVf3uQh3R4i+aS4iLS83S+AkM9OB5Pm26aK0EG59tJLL+G4447Dl770JVx88cXlTjIFGM+xmgv3pJNpnM23uTeMGys3Awj7/JViYNLpMW4/D/v76pOedy5uX6p/q4rEvGNsHSP0WopdG07e+yCFDLKVgi64sBYZBWNDcRWEMaJozKz7zVWmDqdgNJexbyvvO5uH1E6oK7MP9BtK24+k8OOUinntTCpDXaOtY0bE2ys2A+7Jwa5xbS4j00y5LmbcXZsB4Fe/+hXmzJmD173udTjuuOPw9NNPAwDWrVuH0dFRLFy4MMm7yy674LWvfS3Wrl0rnm94eBibNm1K/SmKokxKwpJ/SltRuaYoilKSFuQa/U4OD7tXQ1i8eDGOOOKI1DdZyaIyTVEUpSRlZVqXj9fGvXrz58/HjTfeiJ133hnPPvssLrzwQhxwwAF45JFHsH79evT392PrrbdOlZk5cybWr18vnnPZsmW48MILW6oXtVygrk3JzLft2pRrKZezza3g6DqWd17ufwj7HHYeX4sEG+rSxJ1XspzwtdyQtpG1TjCzSbabEx9svdzqjVkrhIjMlEaN/7MuTo2Lp+/BZYVA8+QFZZfSh+G+Jq0bmGMu8toM3bfTh+D/hTL5fC2kPOpmu1oGAxGklWKLrhxb+WIrStfRUbk2hua77VpUBSQPTecWyOCg74/5n7owc++etA80LICbybyVb/pdo9aJrrJ5UEthzj0mWbE5kf895WSUj/yn20VDm4BsF/3s2N9H+i2VZL4NXVyFqxPnhWBvF3q2PcnvEkch4ihGPNC0MuEsU8rIe6ltcfJfKpcJZ0K3uf8lue7qC1A5b/LZbUkKc8LVw0AfwRi6irlz56b2zz//fFxwwQVs3ltuuQUPPvgg7r///g7UbOLSDWM127qQX8iu3jDNuxjb71wYJ4vnxWFcX3AFADi7MsmiKmLSgex3sJWRtWRdVqS8z7bLUqzMNnfPUhlCEMZsv7isdaIvPlaITqu2MMmUlZcGzjMDju1WtTLtbj957szUopDm4bzHpDIMcWj+D5r9MuKmLHmUAOl+Xd6iu4of465IPOyww5LtPfbYA/Pnz8cOO+yAr3/965g2bVqpc5511llYunRpsr9p06ZMx8LGNDraqOgHJLY6qQnWKsGlBg/tGHDQbTi2uX0g2zI45Q+XjyKt1GhvF42RBJKeSaMrNwNVujK5kJREGYHocm9qVojv1HNxjbhBghRLKUI2XpJLScldn5LXhmLw5tm0XflC43Zw9XQpNujAmGnP1NUyHcMlFhUdtgt0R6CxRnzLKG2jo3ItAlAjmaX3yvd9o5NA3LffILkw2+/egFWW2zfbSXzSOEkPmXetlRiJLjcXn9h5zrAmkowq0xcYIttl+g9cPbl9Cje54ivzKaYtcXLerovvc6JlaBrIb4Ti4UvKukJJ7TS1EildsVm6F2nf5fLsWpHZdoGWyvuEM+HaTjvierUg15555hlMnz49SR4YGGCzP/PMMzjttNOwevVqDA66Zk+U8Rqr5fWneFfm9GQTAMSB0EjDGhD2mMyywtClPGxFkZin+KETd3n5pDSp/lUrEp3bjY5KY8XmkFm1uZ41P1RQlX2A7H523Ginx2GMOBxLwlL12P0ql/uyr5LXF5+2UVX74WIaFlUqSjESaXmQ9EZaTXg2EVEe2uk27r5fB9RhZWSaKdfFjLsikbL11lvjDW94A37961/jHe94B0ZGRrBx48bUTNeGDRvYOB2GgYEBseOgKIoyqciZwRPLKB1D5ZqiKEoBWpBr06dPTykSJdatW4fnnnsOb37zm5O0OI5x11134eqrr8bw8DCCoMtHceOEyjRFUZQClJFpplwX03XVe+mll/DEE0/gAx/4APbZZx/09fVhzZo1OOqoowAAjz/+OJ5++mksWLCgLdeXNNYZbbUUbN01a17UCoGzSnCVt1cKozP6cGxzuKwPqFULN3vHLbRSZbB1LyuGtGuz7eaUpDfsXaqEs0Kw0zMuTmXumVoaSMdM+rCwbfJzVoywtiWLBFc7so/RWV7X4g9FoXXIs5AyC6rQfWTTA+b+uma15ubFdbGVLqetcm0I8mJDJq2MNVne4liA7MJsb9vve8Tsm3FkjGSG3155k1qXuN413/fQDm0hHU+5xzQWWovskCYGX+s6e9tX/ktl8voCtC5g0l1wMj5P5rvkP62XywvB3s57nplzN2V8FAXNBfICy5rE4ZHg2xfIa2dBo2eRTmtWNDHEkTwQqJuyy7uAyntbZg8x21IfwRVaBWSbprXLIrHNcu2QQw7Bz3/+81TaCSecgF122QVnnnmmKhEdtFOmmfenmBUi0Aw/E1vplutz48ULwghx2Fg4K4yAsOHeTK3r7O9eEYtEe6wjQS3FuGvSPjRy0vPSilokDgrpeZaO0jMjJL9H0PxeVml5WATJG6HpsRiDrtycQvr9zG9l+kpcX6zqWzTVtM+b16a48jRPKByjloem/XNWh5IVItc2g3S+KGgushIFvLzm5LjvInvZYxXH7Jiki62MuyLxE5/4BN797ndjhx12wO9+9zucf/75CIIAxx57LGbMmIETTzwRS5cuxTbbbIPp06fjlFNOwYIFC9q+CliMMNP4mq7NRInoO5DwHWQUKZO3giM3mPAZSNC80geQDjAMXHzEvEFO3v1z+aTzAkAUZlycgPpHwnclr1bh4iICTfemkA4k6hXMT6PPyScuojR4GHIc464Jsu0DFa5UiEpti/M2ogLHrouPYiMi5aRBcoSUq2UQ8J1XV4e3I6hFYtfRUblG3WcAd4xEqigIrX0O+t5LYQXou8ddMyD7A+nrmjAPQTTWVDCCVypSisYqNeSt7BchSMmRsShAEj7DJaMhpBftCxRZtdkl712KIIOkLKRl8r4fVP4XmTy0t32fZ7Jd/13GSF8tCviwJXEB5SFHXrxbNu5XNOYOZ2Jvc/lcstwl/2k+gJ9U9Gk79FvRjrF+B+TaVltthd122y2VtuWWW2LbbbfNpE91xnusJsXLGyF5aH/MVioGDeVhGMaIG53vsTAGwkbDCXuKKcy4bXimF+1D+5yXOy4pD+00ScFTZDtPeRgCaKzSLK3YbEgrgrnjEdnP/wBxyiVOJkQI3ApD1OWJWbkZAPrsyVEg/Sxc7s3Ni9LK5kPbEKco5PARd1L7oYpBKd03RmJemUa6cWmOQyQTALYRkCTHOUMhzoW5Y6s6l5FpplwXM+7V+7//+z8ce+yx+OMf/4hXvepVeNvb3oaf/vSneNWrXgUA+MIXvoDe3l4cddRRGB4exqJFi/DFL36xo3WMYc1sG8zMt5dCy7FfpCNtbxcJvM7tc/WkuBSG0iDDhhtMAGkrhEqDrZP/7eoS64TxIJSEo6SwkywNuRhJeYMEySJhCPJ1uDZE6wuwzzuBm3VzKTkoPjE2fRUbluVTZh98PttCqnkJt1VUx1FFYtfRUbk2DKAXfhM8PkogroyBzhzb7x9991x5qELRbFvKQxNHlirwbaRYpWWJrI4pR2qhlXoBebuMXLflIk0vutiKT9+EIg1MpIlEF9JiK3ky3952yXnndmNRHGaKp+qJRM7TgMtjx0Vu1pNsUzks3bPUR5DkN02nMZLtc3HXdMVIjNCexVZUrnUV3TpWc3mIhIgRF5EPnFKMHoNwjMNlcU2vG+Vs+0Lr4nsvdr5BIV3a9rlOWEs61CY+YmKRiAg+ysOq+93SopsGW6loK6tihEmcRKB+Wz32bxZb2/ZvLsXIK/LdkqwNucfWavuRrA/NMa49+MZILKpUzCH120j9t/E27VNFYnu45ZZbnMcHBwdxzTXX4JprrulQjRRFURSlPCrXFEVRJh533nnneFehK1GZpiiKolDGXZHYScyMgh33IDPL4NBYm/hIKdcmwN86oIgVQVl3JumaQPGZCSl/EasWyaKMq5dv/X2sQAAg6klcnCS4359rD3a7sK1gbOu0wDqD2ZcIGibxGRcn73uz/nfFT+K2uZiILgsHky7Vy4VkxSLFSMw7D5C2aKHlI8gWUjHJw92nnQ9pV8tgwGTKzl262oPZbraHXukuy9GL4la2FVdBGUdi1FdtjpG1BATKWZMFwnaIrGW5bbkmvXvUipFaBwOpWKVcbNL6qcwXWn4XqyIlB6gc8ZVfUp5WZLmrXwAmj2QFkwdtP3kWrrYlC3eeIs8sT/7nPecGSTiagepjIXPYoUwk+R9IdXaFNHHJaOryzMU7dj1nV4zFPFlvyrbDIlHlmkKQVnBOVmZ29LlDxMnKzYHlWhuHQT1OIgBEfVnrKPs7KFkh2nGEi5JnNcZ5guXl49JcFoi+loeu7dx8RQVQvvdPXmgJissS3Zb38hrhwnmDhntz/QTp38lOt/9PX1yG9qnybpm2J86CUboGdy57m/YF86wI7b7fgOOYdN5Guul+xWEvoqA5Jo9SvxkPjXedPtZhFVgZmWbKebJs2TJ885vfxC9/+UtMmzYN++23Hz73uc9h5513LnFhP6aUIrEI6SCrARtrr3HQrfzJy1fF4IFL567ZKtK5OEGbFx/R91kUGXBx+w1iK15iPUirqWh7o9vZ7syJsom6OEkDPruTn+d+LMVP8tmOwLs6gclH032xlRzcoNRuQ9xglGLnt/+PyLa5pr2gSoBMbLbkGF14hVlQ0CgypODQHaeMubx++ScPEZodDfpetONa9ratkOcUhrQupgz37pH3zcSRDYLuCSUQRwEyC63kyf9W5VqErMz3cXPm6lEF9jeWtjNu4tBM/FTV/4GwnUrj4yN3GntSybTnFEXkbV4+ri9gjkmLrfm6RtvXBEkH1LVZaQuiMt6lqLcmmuqOqcx2GCBsuNXGYVyPkwgAYQhEPbwiDI5tbj8Pu59K9+mxoteQlIpc/atWJGbOXUuSe63FboKwGXfcVhj6hg5qpU+QN6mUNiaJk+0o+Z4HSZxEoG5oYOL49di/nx0T0SWHy8rmvHYSMWlFzgvISj47n6/Lsk97Iv3IWliPjQjUlf68EZitVExvU3xiYreNMjLNlPPkRz/6ERYvXoy3vOUtiKIIZ599Nt75znfi0UcfxZZbblni4pVWT1EURek6dMClKIqiTCZUrimKoiiThQ4oEletWpXav/HGG7H99ttj3bp1OPDAA0tcPB8VuwWIkwVWAnlWoUorhCLWCly6NzUmrYdJs7Cvw7UiutAKtSDgFl7Js0DwtUhInWP8rRI4Auk+Y8gz/7GQJj03usCK9Jy5lRulunH1AlBj2luP79eFtiHOqgXg3S3pby5ZSNmWFyGylhjU/cCuG+q/l7EkHem2JhWguLl8t92DUppaDNSoRVBkvX/SN9p+1zm4mWf7PTfvl/1e2e+U/Y7a76Rk9Wt9+8K4fbbiEQlfYc9ep7wQTHocJGFNrJOk/zfb0jeW5ikj182xomFOWoXeh893nZP/RWS+S/7nPVs7KWr+hnHQDKxvWzXY7lF28P12EdoynspU33u2ZTzdlmS5yyMBSPcDuHwNOFlf47qQraJyTUG+5Vn9DQ6Sbd9wF4FlHWdWgh0LIyDsa2YqYpFovnc+Ls62rOT289Lzzi3tc5bkVVsk0u3kOs3FVeyFVopgWy22im1tWLxsI3BRYtU6lizMmIwvgOxvbP8P5lgRuDZEr0m9P3yg31Ba75DJJ1kUhmj270weuvgKLU/So6Du0gyg4U1Y7CNv9+Vccr0jC7GUkWmmHIBNmzalkgcGBjAwwLjNWbzwwgsAgG222abEhf1QRWKruDq1dLvo4MOnIykNKli43p6rAG0egnJROoWdTldqtPO0cv85AwmbTsdLAohrU94XvcxAwnT2uYGFNODgXJuk8ozykA4kOI8tc66QidmWUjDSuG42dDDqUmxwsdns/BG5ToSmgHM9c/c3ujtQy40pzcvDQF+PFaOngb2b+nL7xiflZBjtPNrvFX2n6PsH8CEFhG+2iSMbDKTDCNhhBYrSakycJD6yS75z22XkWqtl2oXvuYs8D2m7yLO1j3nER86jTFuhoUxS+5Hg/8vdozRpSNNcfQFJrtM8NKxJjsyn8n40Al5uhyJR5Zpi4asktN+7WNoO4lToA6PUGgtjIAyRSEyXIlFSHErxEulEm4SkIPIp50rjlIfcfpWKRAAmNmKvFZfSkI4pK21XpzyUSLswNyeXArJtxo2mLiZeXxDGiBrf9z67T8Q9f+42iny3OIWhNKEr5fe9Pld/KRYimPQBpNtFgHR8e0F5aNKNW3McZmU5nRCUtn1oqzuzTRmZZsoBmDt3bir5/PPPxwUXXCAWGxsbw+mnn479998fu+22W4kLF6qeoiiKoiiKoiiKoiiKoijdwDPPPIPp06cn+3nWiIsXL8YjjzyCu+++u631UkUiIe3mlF61MZnBikJ5ZqmoRUGZMoWsEOypYjvDKJeZMArAMvOXbVz467uejZ3mupeiFgm0TMMdXQq8nheYtSh0No3NE8VNM3jqygykLQdomknPs0ooss3tk+tIFgmjOdYp5rhtLRVa95Pr/uz63YHszJ89G0jz0TzcDJ79XSaulnTxh7S1aTtNgHKgi1z4llEmBVGEupFc1DCmaGC/e0lyVCDkABdKgLPy5SwmqPWFPRtvf2Ps981K74ngZQ3czncvkQtR0Axrks3kL8vt7aJyvWgZlrJmYx6ynsNHZrd6zyDphNiS/8Z6pGry5D2lx9Vno3I8Ry4n+3YeLp/0/LiwJoLM52R91EiL2uXarHJNsWj2uZruzGXKBIgQNKycQsvFNlnBOWqMe1wWia402/vK8X1Kytsykm7nXUs6J5fG3Qv3P7c9mJOHPVYDEhfy5nM2C610zYKFHqRDn8SwF++JwwBxWLdIDGNLYsapE6BRuDzUVTmvnURMmg92XmptaG/nrdTMpeeVsa5n3JqbKzU3vQltHY3tvpxHmTKVUUammXIApk+fnlIkuliyZAm+973v4a677sJrXvOaEhf1RxWJyF/FJ5e8TiG3XaYjnRfvLkONHLSVh75fM3tkaMr3odl0evjsgBwn0edZuI75DN5K0sqHpWVhSH/zeoWa/9MOP6w0bsAhbdvnGnKf2wwm6EAiavE5GywnEh7pOpwC0aRzSkWq7KAulvaxFu7Ny4W9asqYy+uXf9IQRcBo4yXiFPc0Xfhy13F1GoH0OxUh+17Z+aTQAXaMRG4ipSQu1yef7zqdPGQx8ZHzZBnAf3vpftm+ANcvEDFaHu7DRicU+5g8jhZj14XGtG21/0P/l56teF5p8jD07vPlHa/E3Y6T8cjZdsVLlvLl9REa5X1kPlUqtkWRqHJN8aDulBqntm3lIfcOh4gRB00Fl4mlGpgVnEPrm1dGkehX8TpGbtpDrYjkAdLvts95uX1JkehSMg6SfNJ2ar/xQQijZKVmoKm0DcLsBKCtVKShTMx2u6DuzE3X2DjZtr/1TVOC5rEkjl801pSY3De87OSI3S44OOVhkRiJnKjj2gTXR5QUhFx6nsI6RLICNnVrpjGNOdIxsE1ryunXdYoyMs2U86RWq+GUU07Bt771Ldx5552YN29eiQsWQ8WuoijKREaD0iuKoiiTCZVriqIoymShxcVWfFi8eDFWrlyJb3/729hqq62wfv16AMCMGTMwbdq0EhfPRxWJHphVG5Pg3XawdTpDUMaiACXK2NaJLMYacZTJ6OPW7ItgUybdH5fm88x8zsWeo163sShgV3DkkAKvSi50Ltc6O1BwMrMWjTVnqqhFgHQvELZdi6UUWYSFyVeLkLgxj0Zui4Q8RqOmlRR1wcy1SqRQq0P7f5eFlMljZum45+FwteQWf+gK1HJjShON+Rsr2LDvnWQBYb871BXKPsZth0w6fc/M/9a2Wdk+jOtuUPXiZe5UxrYqKI1Lfkl58spw25xHgmiNSEOaUJkvPUfuQ2pCnNhpzBebeiBwqzSbS/jes+sZ0u2SFA3M7otZcAVotOEi9af37+OmDCsvPebyaCAeCD4yny64Uu1b2UDlmlISu99NrRUBNBxTG/3xMODdmxulEFrfOm6BFWlxFQ6uP5qXj6aBHHO1+TxrRLPtaSnmb5GYCO/U6tjJdtC0OKz/3/xWuqCLsEhWjIb0whsx2batEPO9GaKGM7Oph71vh80wLs4A8Qyh/SYXPu2E9qtiJp27XtF2Y6DeXba1IU23rRftdLr4ir2ic+NctRCJM4Fxa04vpJK2UKz/H7LbXUcHLBKvvfZaAMDBBx+cSr/hhhvwoQ99qMTF85nyYldSGhXyn/fpFIIc8+kI+3S4M9huTKNWRpdbM6dY5FycOOw4iqSMayDA5eHSpfvPK+9JkdWaig44Sw16aYcf1naeaxJ3zNe1yTo22ljFkbo1uQYSrbQgoPkhEhWK3GqxJl0SlLYyY4DZ5pQZBVwt7U4Qf7wtwyvuQuXdJZQJzyiY98+zDWeUidz3GuDda8z7xR3jVmc26Xb96HvoVWf55qpyf0oNQLj4yL6KIG6b/u+7XUr+2xUylImPbJfzDG1ip7lklK8sk+S8eK4w+d3iKEA8UJ3CMK+dlZposuWwnWbg3idOweg6RtOZiUMj510yn7agKqemE1SuKQK2UjDt/hqI7sw0X6JECprKrigKmu7NycWYnixtl/ZkCVUq5imFjNyUlIfSt74KBaK9XVR5SF2ek2PNSSzq1mzHSQwtF3QbW6k4HrETaew9qpis/x8iaCgjzX6yInjYmxgd1EIhXmIrmKYdI91m7G07DyXvm0pfHanNSLEQ7XNQZaGkZLS263ERG9UP0yFI7PG6z/oGUfLWZ+Mqjoubc4sxEn2o1doRZ8RNb8evqCiKoiiKoiiKoiiKoijKhGPKWyRSnFrqxCoB5SwSqrJCcFojvEwy5bk2S3PJnEWCD4xVIt2msydSHsk6Ju+Zs89MXnlT+s19LBe4GTPJGiGMG7NsvhYZAP+bU8sE1yqOdr6IlGHKjw6nLRIMo5FskeDdgoQZOdvVeRoEq0TqckmtoALHMZNuzkHduSMUcrXkqzeOrs4aS2pKw1kk2u/eaOz+kqdsy+x2wbmtcO+Xfcy2OOTeL2rxK32XYiB0vFKtWipI3/aWrNUkGc19h6vqC6SwF1cbJZnKLLTmA7FpzesL0X1fWegqX4K2/P5wt8vQatuidwCYPDQfJ//tbUnOC8+ZLq5i5L4t8/PkfdssElWuTWnslZapa7K7XNZaMUbQtBqzXGEBZFZwNpZQY/XERi7rO+caOdvWidK3muubRswxei3peyfVh6ZLrratWieGgL3Air1Sc9Bwc06t2oy0K7NknWiO1cu0d7EVblEVc6z+v2V12GhZ9r7k3py0HvrbFb0d0y7yZB5tSzattB/OtdnOxy22wlktBnyZ9AIrjYVrArpYCnVzblaCszrMQ3KNbhsdiJE4HkxZRSLX0MTOpUMJlaJIRzivTN6AI0WNyUQViKwDHHcyAaoWkr5UROhy921XkwpJeo95z9Pnw0qIo4B9Mdvp8lRICHIDDoAfINB9+izswYdj2wwmpIEE0Gw9vtG2KLZjnKhUDAWnOfrbU8WGZOJPXSntdGlgl+Nqacdso9DfmfvdKxdUZeJuTNkv/+SDziPkZhYIAfRIbizmAvRdk+Ii2u+RS5Hk4dYcRP7vWyuIYU64+Mg+ctlXQearVPOS/6PMNi1UtdqH+WJL90j3pfty9X/A5GO3e5LfLRJWcC4S2iQP3k3PTB56tlNX/8fO42onkvKQCXPCxURMJhJjXuZzP0Nbhvgq16YsJgae7/tJFYR2H8s+Zvr4toIyQtCM2ZcoEpstemywEetnaADJN65IXMR0RdG4aDqN9lsl5aFv++by5bk1SwoiTnk4yKRbcRF7rbiIqZWaG8+5qRyMGv93XqlYRnlox1SMESKyyiVtLrCVpkK8RF+owlk6RpXPkmuzTx18XZtDkjdk0mn7sfuPVrzEWggMN/qCcdhruTSHqedeT+PdnLlxVZy0pmIPv6kLGHPmK0wZmWbKdTHq2uwgIg2YHHT/+eb1OZdTWVazMoxafxHq1ok0jf6NOv588kZCfuKn73uPvs+p6HkJzt+2QoLGlTLE1p9Pvcu0mbxzN/7MYCKKmwMJo0Qs2yp8W9zLjeuOkutGcUO56fObS/eZ95xsXM9Q6LOIv22nCUv+leCaa67BjjvuiMHBQcyfPx/33XefM/83vvEN7LLLLhgcHMTuu++O73//+6njtVoN5513HmbPno1p06Zh4cKF+NWvfpXK8/zzz+O4447D9OnTsfXWW+PEE0/ESy+9lMrz8MMP44ADDsDg4CDmzp2LSy65JHX8xhtvRE9PT+pvcHAQkwGfdy+Vbr1z9H1n3ylpm+4D/DeNptvY7xg9F0M1A4iQ7GdnsGME9UW54oIyIu87RPNIZbxlGZX/3LbpB/y58ef6Ytt/dv6XPa7Tosx3PRvXs/XE/J7sb51Ja73n7myrVL7kvRt2GSnd9W4K27bsNd+C5PuA/G+J/Vc5HZRrysTD9L+4yVvumNlPWyvaqoqoYUEXNxYGqe/3GsVYGNWt7sJavZ0NoqlQc/0NCnnttEGS7lO+7HXoNnfewZy/zPVrQBgnSkTzHENr2/7NzPMPYS+Sku1P09+MHisLN/aLrZZD8zat3UJkLeTS2zFCxGHQ+OttWNg1LO6MMs0o1AasP/v5mjSTL2Tyu35bLn/g+KPn5driIDlnQI5JdbbvO0xfpxY2F1epP6u6EjEKgoY1Iv0L2WfOxU7k1rmwj40LZWVal8s1VSQqiqJMZDokmL72ta9h6dKlOP/88/Hggw9izz33xKJFi/Dcc8+x+e+55x4ce+yxOPHEE/Gzn/0MRx55JI488kg88sgjSZ5LLrkEV155JVasWIF7770XW265JRYtWoShoeZ0/3HHHYdf/OIXWL16Nb73ve/hrrvuwsknn5wc37RpE975zndihx12wLp16/D5z38eF1xwAa677rpUfaZPn45nn302+XvqqaeKPwRFURSl/UzCAZeiKIoyRZmkisQur15n4GcnmEdj3Jt9JkLoTDot55pxt7e5YwBkdyaTic4TR8y+z00UbSIh2WbcnfLuGcIxLt0XawVHG/o7tzJTQWfIqLm8cW9yxf7KYFv02Gk03d63nxnjzmRv05UaaVwkrsUUaUXmeG4ralwzIic05XpCZNuAyRAhPy6iXca4Ndv58lwsY/l3y/zOLcyUdjOXX345TjrpJJxwwgkAgBUrVuC2227D9ddfj0996lOZ/FdccQUOPfRQfPKTnwQAfPrTn8bq1atx9dVXY8WKFajVali+fDnOOeccvOc97wEAfPWrX8XMmTNx66234phjjsFjjz2GVatW4f7778e+++4LALjqqqtw+OGH49JLL8WcOXNw0003YWRkBNdffz36+/vxpje9CQ899BAuv/zylMKxp6cHs2bNavdj6jgvo978C0e0Zdpzw6MkHS+RvlM0nYuLSEMHGKhck967qBlTKIjGUvmodUKV8UllDwQSH9lHlsGRxzcf3U7Ic2e2t7k4ye0i+WI3k8rI9VafU1K+/S7NXPvLWElFY80YWa6fQfrNpTAnXIgTV3+q8b8rlIndanxkvrFXVZR2w626XN9vWrXFJN0cs1fgTcVHtK2ZjOst09lLreRsj21MTETvbzfSMtVsh1YZe5uW84HLR4dm9ra077VdA8LIcmdOx0VMrBED2/owTvWT05aj/haIRT0UbNd2G3l15iDJG1t56vkDq3y6Hna8xCQtGqMj4mIESH/v7TZkH+PGPDQ9Dzsv577M5eHaBk239o0lImDiIjZcloN0HMQI2f36dph61+3fzIazTKTnkqgi3NlUQBWJBLbBRQGrhALgN5Cg+612pFPQ7h7XDZT22wGtaF/2UNHBl7QvnSvnmcVRkBqYVv2xcMVKymA6/0DWtY8bTNj/0/J033WuxjYNsC4NJMw+hLSqCMlvZhQbiMAvBGHS7Y6Xz4IPNvQ5cc/ZvjQTs62dgaDzqPUCtYJNuFbQFn1kZATr1q3DWWedlaT19vZi4cKFWLt2LVtm7dq1WLp0aSpt0aJFuPXWWwEATz75JNavX4+FCxcmx2fMmIH58+dj7dq1OOaYY7B27VpsvfXWiRIRABYuXIje3l7ce++9eO9734u1a9fiwAMPRH9/f+o6n/vc5/CnP/0Jr3zlKwEAL730EnbYYQeMjY3hzW9+Mz772c/iTW96U7EH0YVwXpGFCluYubIQVrxE+92jg5wB8O+Y9O2m7yB9RwWyLk/VvG8+336v+Mgcklyj/7uOc3lSUPnP9QU4dRBX0Sq6g9wELLLtJk+Wg9ku3cj9fsN2xEjOnVSy74sLo+FqQ7S82aeTiyTdjovIxUSU1NIGLkZyO6RfJ+SaMnGQYibW49WllYfNuHZhvvKQuD8jFePOYhAYHeq3EphJExfSJDenLJQ+ya7PifSJcykQ7W3umFORmF5cJWDiIgJoxp9E09Wc/l8/pZyWnKviLw2nWMwuqhImdbHzc0osU0c7XmKSp7EAS8FWk20ndvzDPOWz/bq4Hp30naVtyigD6XHadrgYiY1xmllUpe7OXN8eGexLlK+2grDp2G67MvsoFZt5bNq1yJovZWSaKdfNqCJRURRlAmNisBQtA9Tdgm0GBgYwMJA1E/vDH/6AOI4xc+bMVPrMmTPxy1/+kr3G+vXr2fzr169Pjps0V57tt98+dTwMQ2yzzTapPPPmzcucwxx75StfiZ133hnXX3899thjD7zwwgu49NJLsd9+++EXv/gFXvOa17D1VxRFUcaHVuSaoiiKonQTZWSaKdfNdHn1xhcx4Lbv7DhnfWD/z51Lsq5LUSMZXXPIPqs4VkUfuUYfmi5YgqtTnkVGnrVGHkmZ9PyPbzB1aabCd2aMy9dTxrqiiLWGbeEgbNes/LZVApDfYqpsRX3kHH0+FlIh0lYX9gyuy0JKcg93uTU72lzZ2dGqXZ9bGXDNnTs3lX7++efjggsuqKZiXcSCBQuwYMGCZH+//fbDrrvuin/5l3/Bpz/96XGsWeu0vNhBoxn3hc3vQEhXY+ZmnoH0TLjZN/mkd9L12uR8433dmMu8Y5lFWDgvBCqXfbaRky7ds/gsfOQ/55jKPZNRsl3YQZ5gNwBB5tP24uoX5T1D3+cP6/e0rURKdIF925bYVn3kP/VOgLVNTZA5C0TumC3jbflPQpnYrcZH5rdrsRVVJCpAs59F++K21aGdZlsh2pZjtkWjbcVov8+JVVwoWC410tNruTocVqkVIpdu9mHla9U9tahrM/0/1zqxBrpKs3FnDlPWiU0X5rRFaAR7dWZuYZzmtkfoCI9vMue+zLkzS+0kvaBHmKqH3QYzY0YjdsIYdstxujnbVnySO3O7XJtpPvoq+FghCulZd+a6qR11Z6YWiNJKzdw2dWXOLq7HP4hOLMCiisRJhNTIXOatY1GQUUYl+A4kXIogmuYkb8AA4VjeQKJV6Lns5kVcnF2DB3vbNx9XhjDGxkjkYiwUey3SApLfBhqxvjjoIDvP7c8ejEfMPsgxJj0ZPETZuIhSiynj2mx+dVfTtoeuo0BKcNquzn2cYoMidcI4BaM9MOOeOUGK2WYjuWWkOyzVfnajoAdRUCzyShTUANTwzDPPYPr06Uk6Z40IANtttx2CIMCGDRtS6Rs2bBDjDs6aNcuZ3/y/YcMGzJ49O5Vnr732SvLQxVyiKMLzzz+fOg93HfsalL6+Puy999749a9/zR6fiLT6JbfftSi0XHBoh5W+h/Z7xb175n2DcEzCQx7mDTgoXIeUvzQ57nKNzbsXV1/AdztzQkn++0wqcpWvCk+Z73vPRZ9t5nj2d3P99tJARUIa/Aonzz/ue5+cgtAVGsWaPIxipOIi0pZU1LW5XbQi15TJDVUEBmgqHmzlYV2xKPXJHIqhQJAlg8P141HIuDn3NDel75bkikoVPnkKIOm8HJJS0cfNOZMv7c4MAL1hjP7B4cSd2R0Xselm7tNXdrk5txIb2XZfpvtSXESap/5/tg40XqJheAAYwAioMhFotBxJeQiSzrkwQ0inIoyeN0/Eca7Ndprk5swoFZurM9f3JXfmPJfltNszp3xsXjSyzmnv22mdpIxMq5frbrnW5Z7XiqIoios4DEv9AfWVjO0/SZHY39+PffbZB2vWrEnSxsbGsGbNmpSln82CBQtS+QFg9erVSf558+Zh1qxZqTybNm3Cvffem+RZsGABNm7ciHXr1iV57rjjDoyNjWH+/PlJnrvuugujo6Op6+y8885JfMTMM4tj/PznP08pMBVFUZTuoBW5piiKoijdRFmZ1u1yrbtrN47kaquLWBHmWSRI6ZkZaqORHiUZJesEaX6ZVk4iFMoAvAsUF4bbPlcBi05aPM/yQDovUyaSFs5pIxlrhSLtx1WGWiK6Vl6wgq0nAdYb1oh0fU+Ky+61apuWBMtyAkBzRVnOQoozq7dnfTm35ryVmj3bXFEX54m6qvPSpUtx/PHHY99998Vb3/pWLF++HJs3b05Wcf7gBz+IV7/61Vi2bBkA4LTTTsNBBx2Eyy67DEcccQRuueUWPPDAA7juuusA1FdRPv3003HxxRdjp512wrx583Duuedizpw5OPLIIwEAu+66Kw499FCcdNJJWLFiBUZHR7FkyRIcc8wxmDNnDgDg/e9/Py688EKceOKJOPPMM/HII4/giiuuwBe+8IWk7hdddBH+8i//En/xF3+BjRs34vOf/zyeeuopfOQjH+ngE2wPec2Uhg8Q8xFLYHahI861RlpgxV5YhVr8DpC85n+mogFJK/q+FVmZj7MWzrg4u6wF8ywK89Kcz6KM/Ad4uzIbc9y3pbjgTGl60odc9+kj/6UG7/hd6G/o64nSPHWxPkPWGyFzwub/0r3Q94aW5balcCZWPuOFAKRlv2lJXAsy+/SSXDUUpSqMq7K9D9TfX3sFXYNxS7XdoeVVd2Vr4gHULQ+HA0cncbD+XxwFGItiJD6bERnrcJaHZV2bufwcea7N9r7kqmr+F6wQ6eIqKXdma4EVA7dSs+RRQN2guTxVILszh0k9uDzSvn1OjuEBNC03oxhxw0stCJJHmx0lUytWV7uR0rj8ElI7MeS5MFvHOFdmaXVm22pwpNFBjJNWEmTymX2Dj9tz9hjT3xsHS8WJjioSPcgonqReU15nVxpEeA8kuG6dvR0x25z6RzqPC5dS0VXG/gp6rODMHacUemaO84wXee3Hvh9uIEHPwQ0muG1r8GAwrk2uFkS36SWLtKAi+ftgxWwLm/Xu4xQbXGfNfm3tdLpyrEsxAD69FWVg1a7NcRAgLmguHwc1FH2f3/e+9+H3v/89zjvvPKxfvx577bUXVq1alSxs8vTTT6O3t2nkvt9++2HlypU455xzcPbZZ2OnnXbCrbfeit122y3Jc8YZZ2Dz5s04+eSTsXHjRrztbW/DqlWrMDg4mOS56aabsGTJEhxyyCHo7e3FUUcdhSuvvDI5PmPGDPzgBz/A4sWLsc8++2C77bbDeeedh5NPPjnJ86c//QknnXRSsvjKPvvsg3vuuQdvfOMbCz2DboSLUVZEJZR6LxvvRBQh8QrtC5F+V2g/y36vuO0ykO9dGDcSOtjHE2MkSmmu7wjNU6QvwJ7EV/5D2OdwHfeR/zRGcmSlI/85cfdfRP5z+SyS3zNvAqlCknabqkjJk7lkPpfPlv9AaqVmO5SJIW/q2SXz2xIjsUNyTZkY0NWZ6TGgrgSwlY/pkDLF3WTNKs4+ZOMmNv6LBKUidUX1UTKWIU+pyLk5h5YbJYmFCBj35Xq6USLa7sx2XEQ7DiJdmZlbqVlSHBYKI+FBUYWz3fZCpi0Gvg2FzUbcnRu/Ryqeviteon1emqcVJNdlx/Gaddx2ZTZKxHx35iCTnrdSM13N2SCt3kzplPKwjEyrl+tuuaaKREVRlAnMGALEcthmoUy5eBtLlizBkiVL2GN33nlnJu3oo4/G0UcfLZ6vp6cHF110ES666CIxzzbbbIOVK1c667XHHnvgxz/+sXj8C1/4QspCUVEUReleOiHXli1bhm9+85v45S9/iWnTpmG//fbD5z73Oey8886FzqMoiqIoLsrItHq57o2PCHRBjMQdd9wRPT09mb/FixcDAA4++ODMsY9+9KNtq09KGx4HiGNLUy1ZGbpmxWkeX0u6TFqNOWhbHUrboyTdTqPp9E/Kl3dNzqxgtHEPNf6ZcEU4awWfiSgpbxTA2Fnbv60UqLUoUlDhJD0SXJx878u4OtHnIgVZt/8awdaNW3Nk/uJ0EZ9ftqoWNOpzzRip4PBAI2i8/Sxc7w63bbuMcYjtJ52W+m2t37zTRI1ZuqJ/SvvopFyzXwPpvTPQ9wvMPtB0fxyN0iu8p6DvE60IzZf3R1+fvPe0AmR3GCIHoh6kLEt8vtsuGZd3nsx5zYw096v5frF9fwiuNUn7Lvlv6ks6wdJ3lT4XeqzI807SyO8G2a257d9Erj1zL6/016yo+91jMHLfdmsG+F+M+x5w3xTXq1sFnZBrP/rRj7B48WL89Kc/xerVqzE6Oop3vvOd2Lx5cxvuaGLTTWM1bqXlenrT+o1bCdj008xasKFl8xQw+wMYaZ4raFreBWGMsPEXhBGCMEbf4Aj6BkfQOzhSX5RlcLjhDlyr/w3WmtZ/g8huDzLbgyTd948rR9Myx00dGysyh1HjHmI0V2aOE2vE5v3HiTuzsUZsPtuYPFv7r/kb2un2vvl9ZYtRvoxNdhVg/hthWoRUhlsZWL67dOviWl4UBIhD89ebrOg7PIBkqFoLgdpg/S9xHx5o/Em/84D1FxT4G2D+aDsZIPkb16wNNuracGUeHqj/jQz2YmSwDyODfYk1Ysy0Dvv5jGCApIfMfra8/XvbskDq143HGKisTOv28dq4WyTef//9iC33j0ceeQTveMc7UlYsJ510UspiZYsttqi0Dl7KoyLuzeZ/buBA97kOoggXyU5yX7I79lw+7rw2rcZLcgXgEJA6zPY+TXc9ZymtG5B63q57k56FfT6prZF0M5iwBwcmW1HXZqDaFmQc4Eft7cjysOC+qeZCRsAB2bhSNC6b9Gy581pklMGEvNXkqo6RWBemxeaEYggriCuV0Em5xrk2S9CvsPQeh0CivI9CYcX0iJzQfsfKKgGZMqGVZg8UaVq7GLNlf963Iu+bwn2Pfb5DGXUP1xfw/WIXCS5By7ry2eelDYPEVM6Ta9xlfWU+c96xNsZF9nHLCzkFYlHy4iUaZaIQzsSejJNkPIUqGGl5ab8KOiHXVq1aldq/8cYbsf3222PdunU48MADC51rsjNeYzUfl1MuT30/zOzXz5l+AbnVdw31lXbreeyYiYkrbxQgjmI+9noY1+MnAvUxZCI7Q2u7J+2mKsW4Kztaz3VttmIgNupsoLEQkyJMTETenZmPg2iUjdy3U4qPaJevCjv+oSHdtpoPKs+1vpSyx4TVDIJU7ETj6hyHzfGGcXnusdtJlD1X6hGVbTPcrQiuywbbhbmZlnVl5ibvjPKwni/rvhyTfZMvuY6VbvbtPD7xE6sOOcVRRqbVy3X3eG3cFYmvetWrUvv//M//jNe//vU46KCDkrQtttgCs2bN6nTVEuKIPCZPZU0mj8/gQTwX7T3nDRhoxBt60jLxknyi3NGYiNyNkliJeYMresxF3gAO6d/TFRvBJ26CS7ClBxJWPmlQ4XuPdJDODSaY63Axkmhxqnq2t+38PgMHO4/dElzRtmiUrWTbGgixig2zPwB2IJVJl+JkSe2Hi9lWcmxaeYzEUgOu4ub1ij+dlGu2WolTwvt+Vux3ry9uxEZEQ4nfaOs99F0D2Ze+vVQM2EoR7hNara49he83P6IKRBsv5Z+QxyXzWHlH4+P4yn8uf+bkBeDkP/1i2+l2awyRWnTF9/59+1a0PD2G9O85rjGTaB25dyGCoz0g+9y4Y3HTmti2QrQXWLGzu2IkSj1HTp1dFa3ItU2bNqXSBwYGMDCQHxzzhRdeAFAPp6Gk6aRMM7ZG0ntI4yDaC2UAtoKo2XJthaONlM5hFmGxF4pg699QuqXGjmHcnNAI46YWJkRWsdi80TSuauZ1K0NiGW4pBiXlIYBMLMRmejomIuedw8VFrFc1a4GYnJcoGO10134R6G+eVUDbi6hEmTRDSNpbmXrUr5EeT5gFSVilotWE7N88pWDkKNl28hSH9W1eeQiklXppJWGQOVavZjadUwRK6TStjOKwma9aBV55RWJ3j9fG3bXZZmRkBP/+7/+OD3/4w+jpaT64m266Cdtttx122203nHXWWfjzn/88jrVUFEVRFD9UrimKonSOuXPnYsaMGcnfsmXLcsuMjY3h9NNPx/77759aEEzJojJNURRFAbrAItHm1ltvxcaNG/GhD30oSXv/+9+PHXbYAXPmzMHDDz+MM888E48//ji++c1viucZHh7G8PBwsk9nJ4GSM9JeloNWums2Oe9cybaZRaIObD5WCPSiUnkXktuSZLEYkX1qlWDSGesEOLbtfc7ChaOg4UUVcQgKu61yk2qcRV2epaXUnhrnMjGSgGyMJMltycfWpawlguT4Jtm6pFZw5iykbJdKzkKKPmfX+2mg1lLCBKivVWozrVpzK7VI7G7aLddMU3ZZ+rrgvtCjsDydXDPc9rtHt6nlYh4Oq6vAmFAH7Xl/CuEr8/OsM6V98YJSaBPuy0zL0RPntRRXYAq7QdDzpFqQlWZ/5cHfs+u50Hw+/S9P2mF9aNpoIJn+u9IknP1EuPtCSIczSdJIcR+PBK6VVftG1mlFrj3zzDOYPn16ku5jjbh48WI88sgjuPvuu4tVdArSybGagVoo2pZitjss595sykvnbYlGldKuzvXEMGy6PMdRmOSJoyCxAhwz27aFok3KqrFg3ULyZmZiLCC1EnNyS5YVYjMtZldmrleLd2fOc3PmLBdT1RWsE31X3baJEZJ2QvebbYvm4yjrzmxbIXL1joMwbS1pWSfWrRKbFopJXSxLRYD9mb3bjhQFRHJdbpbLrjMgxZY0+VzuzHa6j+Vi85ohc013bMROxSCcrBaJXaVI/MpXvoLDDjsMc+bMSdJOPvnkZHv33XfH7Nmzccghh+CJJ57A61//evY8y5Ytw4UXXlj4+s7GRN2b+RP4DTJouk/5FLSLJ6l+pHxSBYrAPQ+qRLTrYysZyaCCK047zT7VdA0+gNRvaAR9u78fYpwk7n5844qVUL66YiRx+9wlpahcLnyc4SXnODpcdb6BdjvhFBtSHgMXf0qAFdINqlZy+KCKxO6mU3KNfn1TSnihDD1mn6PPDoXQePn67A5rSArZ4QNoxaj7ZgUKoHaSXmQtx8U5r86c4itPkeY8iS3X7S+zaxtwq4NcFIl2m2pBVhoj780hH8WY6/JSntS5rIFGHLRd7ueS1/5jpPsDNL9PaJMIbDgTqfXQfa43mVf9KmlFrk2fPj2lSMxjyZIl+N73voe77roLr3nNawpdcyoyXmM16rps0ui+weW2nKdg9CVEnHF1TikMTT5LqRiEUeL2HIRxSrEIkJiurg6nB71CeU5xaOpp50nlC2SXZcmdOc/NGXArHJNrC+mtEAntRtIFSIpHX6iSmx6j9bCVilEQIIxj4vbcyJdSKo6l9lvBVhrW97OKw3rd3crDZjqfL09ZmBcX0eX+nKp/zn67mayKxK5xbX7qqadw++234yMf+Ygz3/z58wEAv/71r8U8Z511Fl544YXk75lnnqm0roqiKN2CEaJF/jotQKcqKtcURVGK0wm5VqvVsGTJEnzrW9/CHXfcgXnz5rXpbiYPKtMURVGKU0amTYTxWtdYJN5www3YfvvtccQRRzjzPfTQQwCA2bNni3l8AyvnEUs2vqWsCB1lXBZlqbljzrLALsA5puTZkeXZipm8vo5zdLEV2y7GYZVAt13WhXmWCgV/j6rNmgvPmknZbYsEyYqHs/DJWbxFCrYOuF2bWl0D1Mc60c5n27GMIsdCilvpzneBFQr3/Jhn2e7VYn2pz8zpqs3dSCfkGrUc4hC+vGIogZQ1cJReMb2HWvlKq6Tb76GEJD+ttB7H59THpYmDc1cq1FnLsyhz9Qt8LPAAZMOa+IQ24bbtc7gqA8hfaR+rRNqC7G3zBwA9bstMrlp2mu+z9SBroVC+S+xqiz2ue/OySBXyObwcpHAmQH7IEooU/kS4dCV0Qq4tXrwYK1euxLe//W1stdVWWL9+PQBgxowZmDZtWqFzTRU6OVaT3EdpOufKTNOz5yjfagNErFslAARBBMk60d42ln9RFKQsAm0XaBtxPErr5rBgDKirM5oWiNxCKvX7aVoUJmUcFoT+bs6yhSFn0Zi5lxIWilKbAXj5T7/prYwVIwSijJAWe7GtbQPEGQvFpJ7WYp621SBAwms4oOWSegeyjJQWMrGtEO1y1NqQHjNl5FWb6WItbjdneu50On+/7VTalZFp9XLdPV7rCkXi2NgYbrjhBhx//PEIrYBMTzzxBFauXInDDz8c2267LR5++GF8/OMfx4EHHog99tijLXVxuzd7naD5P93OU3pljturNUoDibwId0W7jDau+EccXIxEKWaSNaiwq1emky3lEZ5tnkAu+iHxUSiJsZK4OvsMKGgeTvkVp1dtlGIk+cRIlNyf8pBclou0IFomLKPYMMfM/z5KWoojT5EOTfWrNvcWbrPdoQKd3HRKrtmfA/tr67tqMxcj0X7HM62VKuc5ZcYAyV/kO+4g71tbpXI/teJmK4og2hfIOx97YqkA/ZJyQSpc00DSNYGsvOdalBSAIiL57Xsgam0fxarPs+XOmZL71X13vWS+T1vM+ynMcUmW0WMRk7eB1DLsoq6gOVIZerwqOiHXrr32WgDAwQcfnEq/4YYbUvH/lDrjMVZrrowbsun1Y9nYiRz2OXwnoZqxGEMEgstk0FAFmWPm3LbLcxDESciMxJ0ZWTfokCgCbXfoMtDz2dfk9o3isH5fvIKwfiztsuw6ZtKoglFygRbvxcrfKlJMRJsqjEw4l2XXMVupaCsfTTrnxh8HtvI8/fyoIjC/vrycdLkFZ1dKziobqQLR7ZqcdnPmFIa0zva5OGWlqzx3f+2gjEyrl+tuukKRePvtt+Ppp5/Ghz/84VR6f38/br/9dixfvhybN2/G3LlzcdRRR+Gcc84Zp5oqiqIoSj4q1xRFUbqXWq2Wn0lJUJmmKIqi2HSFIvGd73wnK9Dnzp2LH/3oR229to92mLVgy7MudOEyMPA6Bz1B3lIZ5liZcNmcFaJrGU87j8MKgSsmWSO4LlPkGJu9fbMQlbk4u45xbcnjsvSR+7YgO29efhtqhVikBZl0sQXZFk+ShZRtqejCZdVqEURxbsB+2SWjWvsNGtzYr4zSbsZDrnEty+WUKi22kgpKESNZqCkKG+EEgPSq6KawvdCR1Mg8v1FVviayG0volS/B8/vgfY5Csp/zQrDlOj1BntdCWewvseuBmGfrIftd274U+G14V6cW3d3zKNLmubx5ITdIWXuBNSmcCdcr9PF16QQq17qP8Ryr1d2J+fbgslDztVaUzpvXBkNk3aw5a7cIAYLAsm60LP/iOEhZBdpjTperchEyVogB2SfWh8103tLQzitZFHLuzCZPERdoet6qadc40OXOTI+l3ZnNQkBRKj0i7Yq1TqzwXui56HOirss0nVot+i62QvP4WDHaZSTXaPk+O6MKKyPT6uW6m65QJHYjhVycJaViRLbzlI+Z4/QkPvEOqWNKnvqnUzESQ2RdnQCnm5O9LylfuecqdrTHd+UjMU6S7z27XHGFtiWt2likBZk8ZVuQyd9qjMRkWMopNmwFhl1J6mJp/qevlk3ee0oo2sGpWmhFgkB1l1EmC9yK5lR5WCZGYm4rNe8Xp1j0jUfqrbgfS523bGxEX1KTh5xLrK/M57bp/+w9c2FNpK+u/cWWvt5SGQm67rfPF4O2IPu6dosKkQlpYv6n32/f50nPRbF+wzgK2rZqM22XSbvN1MczTaIFBWyZgDd5quhWVdMcKtcUirzirSytirrBuuIfuvKkFIZoKgy5eHf2d8JWMJoyVMmXHIs94yQK5e362+QpDmkZzpXZVgSm093KwolIK8o6zp2Zc2HOboep34DGVeS+lb79JNd31ieOMFX+cW7K5phPjETODZo7xqW78FFEtpMyMq1errtRRaKiKMoEZkwIJuwuM75KdUVRFEWRULmmKIqiTBbKyLR6ue6Wa6pIhOfsgmTN5jsjTvMUnEXOkmddQOeQaT6fOeRWFlsx1gk0GLvJx6yIV+ZZlsyfWJwQy5lWZpq4GbbCs26t3rOwcMhoxP9qrmDqLnvWooutUNtW+1zmOJcmLvhAkayiJMsVqXxeGtyryAI+C0JUO7+kLmBTG1ucVLnYSsqerLETRvUFjoDGIkc0jABd+IieLM+CfBzwmiH2sSD3vyC/730eH9swl82YbyeFa030XD6LreRcpkrrPJrmcZ5OWyUwFeDT8t4bWrbxLkoLrHGPhJPrnBdCni1sO15hlWuKL+10e01fJ+s+aqwTJctDl3UWd07XSsG25aIvklUa7ae6rA/5PGmXY24hFM6dmbtm3qIs5vx+i7W4rfSqwLYSLIKvO3NktQWuXdEy6bqlrRaL0vpiK/KqzpIVop2Xuia7jklWjNRScdxlfAN1bZ6COFf3bbXzy5VJlTeuTVJcJFjp9glcqzhy6h8fFyd6HVeEOzosjZhj9vmIm5NULZ9ONS3XsrK2TRSpYwvuXDVrIEGz5w0MOCSloos81XMfc7yMYqOHW6mZKjZ8KKAk6BbXDB1wKQZboUjX2pXgnFE9VEDZmG22YjGvgeXJT8d3sVPvnVP+G1xKQR/lqfh9oSfIC0jhqkzVMRK5qSCTLk0D2VNJgpIx7zkVUaoxeP2eFZFpo74y36efEoOPAwx4f9jLtIYysZFbQeWa4ktVoS5cMRHFFXMTRU/U2A8F11RrNWc03Z9pGfuc9nWqgDd2SL/N1bg5Z/PmuUNzisDxpqxhCee+zLkiF3FntpWLtG5S22mV/BiJstKQK+NSHtr5JZdl6VheHMVOxUDMY7IqEnvHuwKKoiiKoiiKoiiKoiiKonQ/3aGmnSj4WMHZaXQGvaBFmX9lRpltY8XgM3XPzUlTxzjJCoGWofPWnBVigVUc856NTx7CmGCZUMWshehGIAVd5/DxF6KWPzlWCXTVRvtS1FY1z7WJ25daELVXkcrbZUpZSHEWGnShlVbfx26yarWI0VvCciO78qIyMbHf03YsbhSivsARgPoiR9R9mbMG9qXCqVYfSwbXe1LIxbmERVySx/s74nJTlpxOXR4IPh4JXCgSzm6cK0O/9pLbMxPWhKuW7/OU9j3KFwkyz1Gp9Uyr7w+5X2mBNZddKw1nkueFIPUPqkDl2tTFtlbzwdVOWrVWtK0IDbybadad2V6Uxc5DLcgyi6/k3Lt7cZn858Y9E8n6kDsvZ11ob3Ou0Vwe7pi9z7lDtwveTdht6VdmpWSuDbjyZF3gm/Wk1oocrufn0+ehz4W71yJuznlWiDSP76IsPuN3n8Va0taN1cqTMjKtHfWoGlUkWkgNUVI8sfjKPq+BiN2b9u0KShR1b+KGpiBpUhk7j7QOKOPmVHAQkIEb5Hmcp2qzZy/BJ9WxwsFEFCNZ3diGOsnZxfJaELmEV36g2CqylSk2AP/nWbC9BdEY6zbdqU6PTbnVLbtbMCnl8I1JaqdLzqgSRjmRrJbuO5EG8O9j7LHdoN2xsNj3SIqP3CxU/Lgoo8x7yX2hOQEnTRbSskUDWABZVbQrpAktQ+tLJxRNvh4/ee1bZTFP+jfsRMykTFst0M6TdO4dylGeRh4iyNUafCYP27FKM0XlmuKLj1Kmno//WEgKIaowdCkVy7gzc9eWV6bO1sOH/JjdVImXfkZ+rs688tDOR92dJWWkpESm8RZbhX5b8mIrutzefa7D/WZSjES7LHVl9lVuNvP4jW/z7q0KN2df5SHNkxdLkdaTKgurdPduhfKrNne3XFNFYhmkjm8ryi//Aw2kriCdT3YtseG6Fh1ESMHWbbjBQsEmJvVepYFpK+fuNGWub1scuu6/ZDvMUypKCsYiLcjk921BZRQbrGKySguP8W47DuqCsth71u0xNxR/7M9B3mIr0qJGpow01WPew1xbMlPIFZt0nBtfqU6lr8yXvtF56c6L+sY2zrMnK6IKoqpoV35Xq7Kvl2NXTp+L7zOUytO0Aoz7wKNMjFEG+5eXWoy97aNU7NxiKyrXFB6qSMoqAKtvkS6losvysBUrxLT1WeutW3ou0iIoUpoUA9GVt0hcRSmfq85FsGMPNtN4hbMrLmZR/OIiyguq2Aux2HALuLSCpOwqap3IWSr6KA/t69G4gpIVYp6CkR4bj7iJZWRavVx3o4pERVGUCcwYEbR+Zbp7hktRFEWZuqhcUxRFUSYLZWRavVx3yzVVJBJEbXErFnB0dt1lTZah6JyyqzJF1t3jbFxA0ri6UKsDzozAM16Sl8uSY9+jfDtnJbxmEF0uTj7TEDltyazaTNf8lh5NXguieXw9zqhNi08LKmQhZVtCSdYq9AGUneZhzl9kdrTqNldmJbBuj7mhlIOzISuzanMklBuNmium95l3bcAq5LtKep6LcwHKWGrkuvGUWeG3SB9BlFNSJ4GzHTf5fBxNi1gjmjxcxE0pr4GzO+fCmliWi61Yfpfol8VRILbTMp38liyFysh8G+bZjZL/uSJFWwPN1wkDfZVrio3L9ZS+g3aMQhs7jqHPtaT2x1kdci7M0mrMrtV8i9SzFaTvlhSvsL6dffOlGIi0jMvdmXN79qlv0W+v5D5OfwO7jy6tklyl5V/osFyVXJml+lZJnsWhlJYXJ5Fu563s7GPZaFsq0nNJvxVnEdlOysi0ernulmuqSCxLXufXV08n5pMGDqZQXlfQDDB8KlfVYiv28NUMS32GsUyesoOyVvJ0ijzZ18pgwkIaSHBF27XYip3f1YKk4aevYqOPU2bYr0kRV0uf+FUt0O44b8rUYhRIuiZFF1uh72TuokYWtQjoGYD8jphmHnvkoZD8wTi8MmxsZE5u+8h6KU+p+/JRKnJf7yKqIKqKduX3UR564Oqq+M5YOX6XQrGuK4Jtt0Xehdj63+NdqRVsT5wcj4Rtroy0HJCiVIUcv7DZEiUFkc/CJUWu71IWcu7MLvdlKUYidx8UX2WEj6Itb2EVg8v9WVI25rs75ysc8/KUhSoLeRdmOY/rvPYiKNSVmVcYpsu4runjXu2rYC2i1CoSI5ErIyn6XHnNNlfGN48rLqPr/hR/VJGoKIoygYnQmxHq+WUKrCKuKIqiKB1E5ZqiKIoyWSgj0+rluluuqSJRgNVad8TyragJq49tWNl0LmA6mHS7Ln3Mtilrr7truzSbe+6Rn5/LqoPLm5elQ9YJXrOhvpNr9sIrjnNwVgnSmt/0dK7aVtGCpHRuUZUiFlLmnnt8XSspPr+BkKeKINitUC4ofXebyivlyFu1mSJa+iL9tTbbfXlN3bYg497FLjPGbdsstCSvvOWY/cWO4C7o66psVyIPatPq+hJL/QK7MdgWklT+C5eXzODb1Ia6ziKhxb5QFKdlfp71oK8TjescVaJyTbEXMbEJEacG5L4rHxe9puTCSq0Oy7gz+yy2YlPFwiuua0hWfj4uxUWsEO1tn3I+dfd5HpwLuSEivwe3mnLVSG7LkssyZ7FooL9dK6tLuyi62Ao9r2SBaO+XXaDFdW5pdWeOMoo+X8ovttLdck0ViZ2itHvTeHYFi8RJouftI/u0rKffbZHBmG9aN+Dr3mS7B3LpND/JFwnXyVuF2UWRVtRuxQY7HPVxtZxElIsl1d0zXEpr+KySTl2fvVdJt8MF2O+SpDzMnMAjj43jfa1CiZ/bsXPFdciL+eB7zoRW4h1Kjqmui9LrcSswh2SfYrckO28J5WMrz6/k71LVQNHZFisKV+LM17hG5FHWFVmbc46XyrYTlWsKhXMzru+n3YRtqoo36IqLxykWm8eaCkY7v10/6dvBrRJdFa7vlRw/sRWXZznWokv5WETZ6EvTzdi0mwiSYtp2c3Yp8/yum14tOmLaphwHUY4L2o6460WP8cq6fMUh3fZxY5bymeNF4i92kvIxErtbrhVufc8//zzOOOMM/PGPf0QYhrj55psRhs3TnHnmmXjsscfwne98p9KKKoqiKFl0wNU6KtcURVG6B5VrraEyTVEUpXtQRWKD8847DxdffDH++Mc/YrfddsMHP/hBvPvd7wYA1Go1fOlLX8K+++5beUXHAy/3V59ZcC7da8bZ19FUmjf2nVPmrsPZq+RVmnNYzWtiwjkrdGPOlumSoOt5tPgMilom0NO57FuKtCCT32UhRfMCfhZSGYtLl+XmAMmXZ9WSM+HZLYum0EDDfmW6WzB1moks12xxwr0nki25K/hER/GNrdBmWp7Vb/kbL7mvuL7SPhfO+3pL16ILrrlCmpjjUt5R8PbjNQA96dMUocX20i63tVy6pM37yHGf9Hbcgsq11pjIMo1DWtCkvp92K27Vxdl3gRVD2nKNd1mllnvSytLm/K3UvyhVuDznuUAXsULkylRljWho1dqQWjG6rlPPL7vfcy7MXF0ky8V24bo/30VLXBaARd2e7TJFVoP2XQim3ZSRafVy3S3XCvWiHnvsMcyePRuzZs3Cd7/7XQDA9ttvnxz/+c9/jj/96U/4q7/6q2pr2W1U2WsSz+V7kaq6gly6SxUk1YVzc8rDGny0+my7Q7dTjlbqbpWV3Jkl8lTSrvzk0pl0X8UGN/z0bUGR5FLp62rpwyRzh1aaTCa5ZisU8yLaAu53zFYSsDr3uHFu29XZly79TouKpVaUXBHZ9i5Mv8zj6WjqgzRdZIJR+LRIC/rcKlQ0jpsCMY8W75HK/iKPzzdMCbmk0oVMdJkWNpwQJeUddfm1lXI0n7RtlDJceZ/6UfdlTvknuS1z6WXdmPMUE2VcomXXZl+lYjEXaLovKRBd13XFPzTncSmYOTdnWsZX4SS5LEuuyj7pdh1dFIm1WQSfeIiu9LxVnou4Opct46OgTJdRSedDoRb1+9//Hh/4wAcAAF/96lfxF3/xF3jrW9+aHL/rrrsAoGuFk6IoymRDg9K3hso1RVGU7kLlWnlUpimKonQXutgKgAMPPBAA8PTTT+Puu+/GxRdfjJ6enuT4XXfdhenTp2OfffaptpbjTRlX2NKKbJd9V6fnlCWbsiK0ZJZR7BJ56eM9ucBNmOW511ZEFcYd0nl9jldtIZU5FuefW6TEwyjlqt4mYvQWNs2P1cQyYcrKtQacNTB1ezZIDqoZYjS/d214V8Z7pfRc11TXPTufh8/Dci22xi2VYQeo8L0O/WK78uctj8WRc/0iz69L3ISBNrbLCM33yfMSvkvydZEoS6FyrTxTQaZJC69Uew15BWdqHUlXYTblDa5Vl10LrtB82Tq25r7daj4f60PuPK1aMVaz2ArvZtzqoioSdHVouz4G1wIrNj4L9PjiW8aVL2+xFdc5JMtAeo7iFoXuMp2mjEyrl+tuuVZKS/TNb34TAPC3f/u3qfS77roLBx54IIJg/H6ocaGt7rg+oxTpBL5dSS4fjY9kNxVanlvp0Qw+JNWOuWbOsLQd2q+Jirl/e5Au5WmQp1p2KueQHYoKl3G2IJOf+9hww00fxYbXK1PWrXmCtbNyQemn2Dfag4kq18x76nrfuCbNfZm5dy/34jT2qJSvKOP4HorxkX1nTnIvUKQ2HK0EpCg6iZgX1sR2YfZZ9zvnslXlE/J4xb5uB1W+A76TkiWqYqudfXqfUr5WUbnWOhNVpnFISj2qeKGuysWvk1YYcjES69dKuzLnKYMkZSc9L8WlgKySIs/K1904L72MC7TrGkWgru72ubmYhRFpEz7fGt6FnY+HaJCUl/S5tOtbl6c8zbOo83V3znN15sr4xlik+YsqL9tF+cVWuvs7Xaq3d//992P27NnYeeedk7THH38cGzZsUFN5RVGUDqIDrmpQuaYoitIdqFxrHZVpiqIo3YEqEi3++Mc/Yocddkil3X777QCAt7/97a3XaiLg607re4zFZWngaxrBuTX5XIOzQpCcU1uxQnA4y5V5xhVjZipoYOWOr9hbxDKhwWjJKpZpKVK65PRmCOG2W82zkPJ2tQTcLmFd0NbKUm51y+4WTOPBRJdrrvetjPOpeJ3GO+H93tl0sVvquBCJO0jL8Iloku9Tf+vrP9Furwpc7b+s/G7hOVYl+6tA5VrrTHSZxi1qAqQXXqnvpxfEyHMzLoPLUpGeP8+K0LWgBj3eLrdtXzrtAu06V9F0G86tWLJqtc/b6sJc7gVe/F3Vx2OBsLzvad7xVtydufRWrRjzziedsyrKr9rc3XKt1BPbd999cf311yOOYwRBgIcffhjnnnsutt12W+y5555V17E7qNJ9ua0d5vFcxdFWCfms8pxzqlaOt4DLHJoSNOYY2kYLLly+dMNqjC06xDWhrpaGmORphe4OV6GUZDLINS6qXV6kuoq+2JNPEeTjAtu2e/adRJS0T5zDKVdZeh0ugIRrBUMpAEVeWJNSamg3uX2G7u6Ml6KDst8+3k1rhSsyk0GmUYUdkF1dmVuZuQi2gpKeL51PdmPOU/5xClEOqiTtdnwVtGXcoVs5xsGtpgz4xyhs/tbFRyrStSndpjTyVXyVcXmW7tVHYVjknGVWkVb8KfXkzj77bPzf//0fDj/8cOy0007YcsstMTo6isMOOywV0Fdp4BNoJoNvV62dXUF7aClFuesi8gL+dQsT3CqnSCvqhGJjNHIMS6uM2dallFvdcqxNtZm4qFzjkdQ+oxHQVzYO6USmqPWybYw3LpOIXHpeXs7roEq7Vg98ntsEtiRvB5I14kRU/HVSrl1zzTX4/Oc/j/Xr12PPPffEVVddlVrleKIymWSaZJ0IZBWAzfRyikX7GlwblKwhOfKO23mAchaI7Yzx1qpFZNHn75O/VUWrS6knKQ+5Y1y5vLrlfdPa6e1WlXVlK3nKxGD0tVjMS5euXURR2QrlV23u7vFa4Tuq1Wro6enBjTfemKTdeuutuOSSS/DBD36wyropiqIoOWgsqdZRuaYoitI9dEqufe1rX8PSpUuxYsUKzJ8/H8uXL8eiRYvw+OOPY/vtty98vm5BZZqiKEr3oDESGxx66KH4yU9+gt/+9reYMWMGarUaLrnkEixatAjvete72lFHZVJgWy5Q+xbJCqLztPLCdos7Qp5VwkS0TphMVG1CH6O3xICrt9I6THRUrmXh1uJtg0Nq91PWQKCUtVwZT4RuwleW57Soqr0KpqqForA9EeiUXLv88stx0kkn4YQTTgAArFixArfddhuuv/56fOpTnyp8vm5hMso0zs0ZyFpxSRaKedA4iPY1ueu6rm2fkyMvTqILl9Vct9Fq3dp5b9zv2anVkSU6eb1WrlWVy3NePcoeA1pfgbpqysg0U66bKVy7+++/HwsWLMBWW22FOI7x8Y9/HGNjY/ja177G5r/rrrvw7ne/G3PmzEFPTw9uvfXW1PFarYbzzjsPs2fPxrRp07Bw4UL86le/SuV5/vnncdxxx2H69OnYeuutceKJJ+Kll14qWvXuZNJ3cEeR7cJOtC7tBCAnFj/3C0z6X6FL362qXRciBKX+ynDNNddgxx13xODgIObPn4/77rvPmf8b3/gGdtllFwwODmL33XfH97///dTxqr7/Dz/8MA444AAMDg5i7ty5uOSSSwrVpYhcmwoyrdC3oeg6IF36XnaUStdO8TlZmbAmXNmy1/dkIq4p0w6Kvk8F8k8Uud+KXNu0aVPqb3h4mL3GyMgI1q1bh4ULFyZpvb29WLhwIdauXduR+2wXE3mslhd7PEycBGPWPVVqHfT83F8/RsRjAxjJ/NG6DGBY/LPr0o/hQn+0jhPlz/Wsff46Tdnvjvkr9quO71+63q6Wm/2zW332rWj+0V+UayXSr+86ZivkfMc4MXlbJcpaDrazbRWl6FitFQorEr/2ta9h7733xqmnnopjjz0Wr3nNa/DjH/8YM2bMYPNv3rwZe+65J6655hr2+CWXXIIrr7wSK1aswL333ostt9wSixYtwtDQUJLnuOOOwy9+8QusXr0a3/ve93DXXXfh5JNPLlp1RVGUSQcVjr5/RTEuYOeffz4efPBB7Lnnnli0aBGee+45Nv8999yDY489FieeeCJ+9rOf4cgjj8SRRx6JRx55JMlTxfd/06ZNeOc734kddtgB69atw+c//3lccMEFuO6667zrUkSuqUxTFEVpL63Itblz52LGjBnJ37Jly9hr/OEPf0Acx5g5c2YqfebMmVi/fn3b77Gd6FhNURSleygr04qO14qO1Vql8GjyHe94B97xjnd45z/ssMNw2GGHscdqtRqWL1+Oc845B+95z3sAAF/96lcxc+ZM3HrrrTjmmGPw2GOPYdWqVbj//vux7777AgCuuuoqHH744bj00ksxZ86corfQOabkzHpl6+/6UeEzrmIGotIZtA62n4lipVAp4/R+TtTVwYq6gF1xxRU49NBD8clPfhIA8OlPfxqrV6/G1VdfjRUrVlT2/b/pppswMjKC66+/Hv39/XjTm96Ehx56CJdffnkyiMmrSxG5NtlkWoe/2FODKSn7O4Q+20qZjLL/mWeewfTp05P9gYGptyrUZBir+S500eqCINnrZhdykfP6LaKSlzevfBX32M5FWboJ85tN1L52UapfFKS183XCZTp9vdZ/526PQ1iETofrGFfH6yeffBLr169PuRXMmDED8+fPT9wK1q5di6233joRTACwcOFC9Pb24t5772XPOzw8nHFtmPiMYnwcUqVrqg/SVED6lcezJU70gU/Vrs1jJRxGxtB+F7C1a9em8gPAokWLkvxVff/Xrl2LAw88EP39/anrPP744/jTn/7kVZeqaJdMAyarXJsg0A8hXVG4klfatZLyRP7quepfwX25fgvtpkxYWpFr06dPT/1JisTtttsOQRBgw4YNqfQNGzZg1qxZbb/HiUI3jNWqcIstYwuU5+Tpckgs43BahQtzEdds37/ytlTy30SlNWdt2Y237F/V57TP0arLdNb1299luqy1Xpnn3wnKyLSi47XxCNcxropE4zrgcitYv359ZuW0MAyxzTbbiK4Hy5YtS7k1zJ07tw21VxRFGX/KdlyA9rqArV+/PvfbbtJcefK+/9J17Gvk1aUq2iXTAJVriqJMHVqRa7709/djn332wZo1a5K0sbExrFmzBgsWLKj6liYsOlZTFEVpjVYUzYDfeG08wnVMSrvfs846C0uXLk32N23apAJKUZRJSSurW6oL2MRB5VqTTs0gjy8TfZEy6jQ/+df+nhrtsjN0atXmpUuX4vjjj8e+++6Lt771rVi+fDk2b96cuIUp7aPdMo2zSqyaVq9B23hZSz3bJbSM10uVLtz516rnL3Kv7XbLLvPtLnvfZWj1/qty81YZV55WV23u1vHauCoSjevAhg0bMHv27CR9w4YN2GuvvZI8NEBkFEV4/vnnRdeDgYGB7njAlT7dPqT9dzpFXwevpUwUTKvo5NC2j/zfMpNkGiVCgKCgcDKdEuP6lUcZF7BZs2Y581f1/ZeuY18jry5V0S6ZBrRPrnX8Cz+O713UYVeW9tNNysVRTPSPqmkXMcqvbF8JHXyM5v3vNg/wVuRaEd73vvfh97//Pc477zysX78ee+21F1atWpWx6JjKdMtYrROKwew1i70ZRRU2VSkii56nqALT9W4ViSnpAyefaf1aV6zll8/L43MO33oWfW5l+zCd7vsU/Z3Gw+W9U9+VMjLNlAP8xmvjEa5jXF2b582bh1mzZqXcCjZt2oR77703cStYsGABNm7ciHXr1iV57rjjDoyNjWH+/Pkdr7OiKEo30YlVwMq4gC1YsCCVHwBWr16d5K/q+79gwQLcddddGB0dTV1n5513xitf+UqvulSFyjRFUZTW6YRcMyxZsgRPPfUUhoeHce+99+p3mKByTVEUpTU6sWrzeITraPu850svvYRf//rXyf6TTz6Jhx56CNtssw1e+9rX4vTTT8fFF1+MnXbaCfPmzcO5556LOXPm4MgjjwQA7Lrrrjj00ENx0kknYcWKFRgdHcWSJUtwzDHHdPeKzZOeLrE86JJqtIUuuDdThW6zVlA6T54L2Ac/+EG8+tWvTuJ2nHbaaTjooINw2WWX4YgjjsAtt9yCBx54ANdddx0AoKenp5Lv//vf/35ceOGFOPHEE3HmmWfikUcewRVXXIEvfOELSd3z6lKEqSDTqJWi02pxHL9TflYFoTgrPnksE5VW4dqCaTc+Hflxa0umasw6Wea9fZmkqTxXKN0q14pYC5VdyK5KK6hOWFSVdWO2v2NFXZVpful7FyIuufKufU/ZunEWlGWtErm6l7E+zLu+S25UYRHpWw/5/F0wyCS46tSu9zuv7U00Oh2uo+2t6IEHHsDb3/72ZN/Ewzj++ONx44034owzzsDmzZtx8sknY+PGjXjb296GVatWYXBwMClz0003YcmSJTjkkEPQ29uLo446CldeeWW7q94Zuu89bpFCQ9CuoooPSDcOJjioO1O3uje1xKR7t3jMSmBFyxQlzwXs6aefRm9v08h9v/32w8qVK3HOOefg7LPPxk477YRbb70Vu+22W5Kniu//jBkz8IMf/ACLFy/GPvvsg+222w7nnXceTj755EJ18WWqyLS8L3dfl7xftjtqbCl+fDvJE1uZ2E1qoYkj6218f3/TnuptK9vmuoG+MK00TB1r/N8trSWPTsk1pU43yjVXn9ylVCiizCvb7++0wqGsssMu53ouecpJKk/tOtD31Bwr8m3NUx5y1zP34+8+HDj389LpdaQ+RtHzcufOlm1vf6bTcqzM+xMjKDWxwD1b6V0oeo0ilJFpplwROh2uo+1DgYMPPhi1Wk083tPTg4suuggXXXSRmGebbbbBypUr21E9RVGUCU2ZwWzZTsOSJUuwZMkS9tidd96ZSTv66KNx9NFHi+er6vu/xx574Mc//rEzT15dfFGZpiiK0l46KdcUlWuKoijtpOzEY5kyrrFa1XSJTYEy+ekTtpVO0IempUI32bAorRMhQG8HgtIrU5O2fq1DYZvbn/JMNJsylfMpuPbsav8VMhFlvsq1qUtvY8hNkawQJesiH8uivDxVWSeVdUFupR4+1lWuxVoka0b6ngWIKnWTNeeSrB4DxJm65Vv0ua0RfVyX6T0WsTzk6lfUojHvWJE8PhT5nhZ16ZfqWMX71rSIpVa0zXcwEtq2q26tUkammXLdjHbVO0FeB5LFVv3k5TMvRwj3Ko52xDufdXerHghI56v4Oi206lY+YqU/PhW/hcblkLaedgxD++Dfgnxu087j2yqcLpbSTzKJvnz1LndnVnxTuptOvG9eJ2slj9KAi3A3kVHFYiF83yfPcCYc7ew9torKNcWGKuJ8lYdSn76s23Te9auglXP7xE90xUrMcyc26dKqz/T6PnECqZKSWwWaXpOrgy8uJaKP+7Id2oJS1v25He7QrutXTfHVyvm26VLw1a/jXqWcaydcHalSsROxTcvINFOum9FuvS++1hKu9DAnT1fT4WFp3uWKKmcLPPOiysTCL3mRenbZYMLk6VrrBul5BWgqFYu0HS69y77p6gKmdJKprrhvH9LkoflCd+1XN4c+dGwScbLhkmcCyUTiBI8Zr3JNAXiFAx30+ygPs3mKWTdK5y2Tpx3kKVjsPPQeJeWjpHCklo5F48y6rB8lpaIdR7Gq91xSILqUh9z1XWVd5XxjMbrq5TpP0TztQGqPPjE/67+5X7+Haxt5SkXOQjFM5WnGfK+CTro2d5Jqn5KiKIqiKIqiKIqiKIqiKJMStRPoalzuzeano/Zj9gz/KNI/MWdrJjmncpYC7bAq6F6LhLoRcn12IiQzGc0VHLt3pqAvLGeVILlAS+5MRVqQSaehoaS8eR+o7m09nUMtN6Y2rvcH4N83k86dq/DFOfIsgIugTbUCbDvyvIAUJo9dVmmJVttwaJ3DZfXr6ZlQZe8RQFtssFSuKS53ZpfVoU98Rc7y0MeSUTqfRCdcJqk7MIdrZWTJvVmKi+hyWW7F5Zi7vrmufU1zDdsKTVrBWbII9LFG9MnvW6bIOaTyUhp3Po5OuDnTdijVKz2mlq0Tq1hFWbZWNO2pM27Ok9UiUXuIVdDqU7SDz3idnDqgurqFXPePOqe6hqHS9fscx11lC2C7g9unm4qtlj4LaVBR0M3Z5cpMH3PEHLOHpnnX4fBVZhTy+K7qfZwgjJUQTmNdLpiU1qj6fXOVL4W0yMREeffy6lwmNEch7OkeSf53ig6GNOHyTKb2U2H9pWnoqnuP7ULlmmIjKRFdbs22giDPHZo/l19cRul8VeSV8HENtfNJ7sz0HqnC0XaZ5hZfMUrMokoql9uypCC081dBKwpEn/xc2VbcptNlyrs5F8nnIm+BHlfedsYrDElb4t6VdDvzd6FuhTIyzZTrZiZKt0tRFEVhiBCgp6Cg6fZVwBRFUZSpi8o1RVEUZbJQRqaZct2MKhJ9CGMUnmkv/WR9VmuRLA/sZTOk46a80wyyBXxsx/Kc8TxO63OszMIl7YT7FpSxZinwTZHckWlLapdNS1FbFR/bWPaRtfKdLdEu4hbaUtXuBTEC9BY8Z7ebyivlaNf75nznijbnDr9vlVDl9Z3namWlZkn+c7ZlrkAVrnr5pueRU66q5z3O7ca028JPqUi9Td7hrBzk3uFu7j3aqFxTKJIlYhkrRKkMV47mz0svZp3o/xa5Vlvm8/Nuoa7FUmx3Yrt+0mInxuJLshwss0AKZwWZrVeVqzbL1oW+VohFLRfpPqcsci3cwu3npUsUUVRJLskckmUrJdse0y7H3EIo9Do+4yq7zdDtTlBGpply3cx4d88nJr5PrYybTuGL0EGC1F2UHFJcjiqtDEtpfmk4Sq4zxdxSU7RSd8dggmahrk12C8obTND8vq0nL51L8x18hUUuVOS4TRd/x+vCSWNJTXWKvgY0vWW35Sq/vULz7ESMn8ooM0nkfWLfgBRA8wvNqX+KhDUx+zTqpm89CtJtE4EFEdtqlZ/eEIVCmVC43mMRd+Z2ujmrXJu61NU39bVA85R6nELQxw1aUjhWuQK0VP+y+J7L5bZcT3evwMwpgKR4hVXB1Zm6ORvo9X2Uinkuw5x7MVUIulyY2+Em7bPP3Qt33qrIOye3ErIhFNyM6+fNKvXKxEeksQ9tV2naniTlZbssAMvINFOum9FVmxVFURRFURRFURRFURRFyWWCzfF2ljD00IT7BMrmZta9nrwrkx1snVtnl1oaSDZovtex81HLwypM6fySS+dLlemMGbNNHLbRvUmwSghLWivYl+UWU7FbHF3ZUYLeu71Uj3SMK0fJWF9yi8/Y/0v5aH5XngZlZ/uqDuqrlhtTG06ctPN9C13viPRKSG7QBd63CYu3vLfh3JE5bwOXdWKnyTMh5PoPnqecrD1Vu81zjytPTtnyvZHXvJ9hBHE5ZVfvkft18nqP7fh5VK4pNkUWVWnFCtG9kEu27+aziIsrvWpc7sycRSNdBESyCMtbBKVMf5izQqMrUEsLvFSBtPAJZy2Y58qcZ4XILbbis0iLfQ2pzlIZV3rVSC7s1OqPs1ik7tJVviu2haFtEdmq5WMZJqtF4mTtnrWHVlyVfTx7I/z/7b1/uB1Vdf//vnfm3hsQbkIw4SYlQKJWoPIzaExr+4DwkERKa6E/sFEBaRBKbAW+IvgLFCui+KMqSq0W8CnUH09b7AcUjUSkSkSJoB8F8zEWikUCFoQQJPfemXu+f5yz56xZs9aePXPOufdw73o9z0327Nl7Zs+cPbP2XrPW2gAG2E46zEuEND+Qb1JBT6TFSApFuxg+LdUmDQE301ekl4rG6SD0vRDiQSZMJrLdbpu9I3mvklTR9PR1VV+SGtqHr1cNCWnHQIhCIvbsD/k9uvQu74VLiAWlN4Dpe95yaLFffc9bCKp7c3f7btcGkLU+aoG8XMsGD1ydg1ae9vamhAakkNpSpvgrU0WHDH48RXx04VXaiwmE2Ec76bYR8kpVj8yn9OvoMQSTa0bYSst+JWInysO67s9lH4u76e7sqOLO3MzPx4qjbZJcmLX4cpw6SkWuyOGxEHmb3Xmk/LLz8OO7fOkYmjuzpGwMcY3mx5Dar7k8++pQptPN2efGDMiuzPIKyt1dNZkrNWmsRSnGo0/Z2U1ssRXDMAyj75hCXHmQMGWvfsMwDKNPMblmGIZhzBbqyDRXr5/p79bNIL3SSBfo+BfQLBV4+yVXqbJ8fp5Sxzcl7Y5HbVwoxApT84aKWdp3+hBjx2lybw56afjcm2gZ6h7IXZvIMQb4PuQXUeEWCbQH+awSuHszzQvpQb58zY6lI6bp7VbVQqoXrs1Vv3L1u6m8EY5kMcjtyaQ3s69OCAOdPF9a9wvsltP6hdbnsVv3HvTk3aSNBYDOA1Jo8r/LF9LJ4Xy/yzTJguB+2WH/1xjg1ool+HoM7yWSPasr34vRlMk1A9AXO5GsBaPC/+Uuz3UXa/HVKWu/L78OPtfMVMgvug/n3W19Lsy8vLMyq7M6M78Gd7x8fvHlzVdwrnc+WShQN2XNnVlyZZasCnu5QIt2Db773833o2aVKi1g0sxPvBaB+XQs1vH1c77Cs9RGvpBK6KrS3aKOTHP1+hlTJNalbDIR4pLqxal+nlUquwNQ1yZf3EOuOqq7cqPL80Xd8tXldLxWaGc+fDNB2TuhS++MoVjuPRRJcaj9IrwH0bwqKma6LUXYlNwzVRfMuPlXeiIfvjiL/f3+BgCkGKwx4bJ1tmYjZQ6pZXkdPW8+D1aK73mT8Byz71w+OpZFvl9AclSln4hoGaD4MbFbaDK/SliTkhvV8fhp+vH2RV9764TakLpJS4nons8kBp4V5kQho0eg+IlZUkP38nO7yTWDEjFFoMPnzswVgrIisVwhqZXjx+LpfBn9aelEeZEypWB+X1yqLHHKwqruzJJSkaMp/LR4jbSNrn5ZmU6QXJU1d2KpTFl9rmAMjb/oKCsr1eH1imXrC8+yFZmltvAYm1y56I4Voiys12a53/K2Tk+MxOoyzdXrZ/q7dYZhGIZhGIZhGIZhGIZh9AV9+F13ZlG/GtWxNOBuuZqxgffY0ndg/p1Ys07QTsKdVrTQ21I7fPic7LitTMnxQq1bOnQ766ULe9BXM5/1W8iHC36fmGtTZp2Qtq0TuUUCUM2OhYft1+poPcj3s/jC9tOeVOg9IRbC/Hmsu+iKcPyZtIxqntuC0s9Vyl6V2j7+HFV63ngBX6NoOvQdx46Zxvo3z750+5Dey4D/hyrALRAlm3BtXCA1SLIfD7FHr2IeqFlSBsh86bAd38Pe43Uly/rtVDtTa7/0bEjPEJPxWf54cV/V0SPfT0/hk/G9+ElMrhkaERLRWs1ZI0quyUWLxBCrxfCFWqS5BLdyCllkJcQyqsxqr21dyFemLbozS67Joe7M7e16qzaXMVOynVoaSu7MfMGUUHfoZp5criduzqn//qVJ+f2N4qJFa6FMJFsa0nbGrJ+FUMc6kVs9urz2Mdv7yp7HbsuTOjKtF+3oNn02JOtPBuOUDgP94+aqd1QtX3YgOsmQJhUcPnz0uUFL56HlhpS0Vi/kPEoRbSBdp+fOdG+vc34pLiJNj5M8t833sSLS1FGaompIqzaG9la+7ZQU2iMVMvWMtXdslXevpgxR9vsUG9NNihgDFTtXLwZ9xsyjrdrsC0QhlfMGu5iO560GXZ90ZANocjckzUkVPZu0L3v5DngK8kpVotICukNqaFgTTeZ3EtYE8MZHDj2c9lsUxhLTtDpzFTodPwqnV5/PFjxesu+jIsg+qWm9XLXZ5NrcpbkkgezKzKHKP0mJmFckym7MXHkYtrpzIuaHrTTd2bvIV19TvnAllLYaMo3rRxWG1E3Zp1Sk7QuN19ftVaypsk5zP/YpCUNdnqVYiFXiJWru0FIZsQ1EUagpBUOUhT589Z2SkZaJYqZkjvIrM3PFIuCPkdisWy1+IV0NWtun0UvldR2Z5ur1M/3dummmq9ZpdSYXhc++VGOkLZdBJxXawilunyNh26GLrZTBVUJlcZI8x51GRWG3rRI7+npQp6pSJ46AWFEqclsXeuvKJgeSbUuVHuSbuvoUIVTJ4SZLMf/N+XZNC8O6zMSXoyk2cAmtY8wOQpSDPjsxqQ4wjc+b9vwJ+d0e5HU1Lk6V94halr6ZeYRbzaYsRJ3D7cjLZF7VzzlSOe0iPeOCrn2IrU63YyQV+mqFfl56XdJjECMn5+MYiFs/81CaHz3SKlyBqH1U9C220gu/DpNrBsAtCttWhFIcQ7mOrmTkx+XHzpfzKw5DF2XJ6qXdfd8kUTvGIYVaHrbbkldW5WMktpU6NMYiV/xpCrY6C6H0pVeBAFcwVlE+pllPK4+lKJZpKQ2p0k5S8iWqQrG76p4oTnLnijWlYmvbKRi5YhHIx0jsahvZMUP6WS9jJdaRaa5eP2OKRMMwjOcwTcE0OwduhmEYxtzD5JphGIYxW6gj09r1+hdTJHqIuCtMqAsNz4/Jn1RerF/m5kStE+h34dA1d+u6N7m8slWbJfuWkih5dd18fPWEYwz2wMWpjKYrrBInqRP3Jv5+UYxN4qhplQDI0bak1Rk1JCe5Tldt1mK1hdyKgRj5+yBVkuJNhViIeH6nfn+5G3OPMjuyTldJB1rPG5APu8DxxXej1Hj3+dw8ZvyZDPFECH6/8wh30lvaJ/MpPCBFqIeBQ5P5vrc3rauNExTK7tMMj1zL+lmpK1KIFSJ/bvhzx+uNN/cN0G3lNNrokTdjJldtNoxQuKVimRWj2+fqaqs1cyvEqi7P3OowSpQVnZMpMT+UNB4Uj53GeUsvarXoi5GYtQs8FqK2Mm/7eL12De3VcUPiIvL8qnXoNYRaIWoWiEkuP39fNHfkqQ7dnOncuWh5GJPtJGsjtVSULBSBtvszULRO7OYqzr2wejRmfDjWH3TNlLWOaxNXVORGZtydmTqXTAplpCFgxQDnKpqDHIVPFkJmTUxhqk0stUF16EQ04LfphotzkEl/aBt91+ybTLQYiOGdTLj/6WQC0B3lpN4V2uW1KSnfrylC6OUPob2IzBBvAFcoVn3DdeGNON3KDLPcmNtI3TxEBSQFouDHdfldf97KFCkk3ajxTHbav+NufESU3t1SOX8GgQekcOVDXJvp4CLEHbrq5xxermxxFeGYvj7hk/lSfU/Zwm9bkTp9qxGTkY6v/1S91VTGs2YNxYCb2yVp+xfXFlspO7XUe8p+kk7oJ7n24IMP4vLLL8fmzZuxY8cOLF26FK997Wvx9re/HcPDwz05p6GjuSxH4IrEopKwXU52kw5RHhZiKhKFIVfoSUrCSPrYX/O1lETFc6Rx8dxU2UgVjEkUFRSLzvU5v/CKrFSMarpr+tAUhvnFYjqM/YeodL7GlYVajEVfvEStDsDiJwrxDiXFIVXY0f2iklDMq/m2jpPiOVqdluYPEmUhAKSkY0dxUlAsZuUClIqckFicPnq52KqEWSQahmEYfUeCQTQqT7j6Z7EYwzAMw6D0k1z76U9/iqmpKfzDP/wDXvjCF+LHP/4xNmzYgGeeeQZXXXVVT85pGIZhzB7qyDSg/+drpkhUKGjB4wayb8ohX5TLvq5L+cGUrbvnygB5E0fqkOJbJoMfgzeSr9qoreys2cUo1gr8vnZqTeapX3Bb7xGlXxI67QvuPnmsEoDmRyj3oXQSsj2r26fZkWhWiHV6EM3rdBXZQl/RTqT9FFpfC7SQmukVtdIaD8tMt9noPnUXN6r1vEn/8zLuedPcnPnxPKRsKdq+6r91miK9W0oXWpNkue+NTeEOqSF1fDK/TP5TXBmlw4RYeIY2c4YprKqZ9VuP66L2/NAuQA0ZqLzn9WMgG7oq3gja6BGAap9Rdam+btBPcm3t2rVYu3Zttr1ixQps27YNn/rUp0yR2GO0xVK6dSxuweizQtTclqMkzVn/hVgcDviMoUIMpZyXQKB1Y5KzTiRtdRZicd5CESiuNKxZJ3aDvLVj8aK0laFdO8POEYvHonmapaLkshzqAk3zQ6wQJbdltz9nFZhLC/cg8YRIq9DHmuXZmCFu5M/ZcmfOtS9Os+3BzBKxZflKFmuJ47TUOtFHXa/SOqs6d0Idmdau17/0d+ueK5S52vj6jncQzf15NOVgqBuzb909DWmayZWC0pSV5wWu6FhFMevyQyemcUPZ0aaTl0iZYHUKqMKrveo104n5uFDWpdPs3Z5DmkhUcYTv9pS0rAeB7aOrUcf8lodMSt39C3kme0C3hUI/uYAZ048Wfbbs8w5/5vgjUet5q/MhxHe8EqYlXmLZRwZfnlSmtuKMCgbtU5CG5JAKoa6mCAyhalgTz6lDqwfL/mpNkehqXMS6/YeXpUpFpmDMPbdJPkayNMTgSkWwfVIvcPm9cBDrRK7t3Lkzlz8yMoKRkZFuNQ0A8NRTT2HhwoVdPabRJMrWN/W5NWquyeVuy1p+O/Kd34WZui9HyVROcUiVeAVlofSg1J1yaPUidl6icHRzkDht66CiZCpzhW5up+0PIFH7PnOlYjdJIMfBo+/UOorDMjTFohbHkMdEDHVnpvnZsUn8wzLlIdBS0GmKQ6owDOlzoUh1s8nfQD6PKhrdXDuJcwrGqTglCsVINOgp5PdoqqK9W3ob43N2ujb33F7yjjvuwMknn4ylS5diYGAAN910U7ZvcnISb33rW3HYYYfhec97HpYuXYrXv/71+OUvf5k7xkEHHYSBgYHc3/vf//5eN90wDKPvaQ+5w/+m+lww9TMm0wzDMHpLJ3Jt2bJlmD9/fvZ3xRVXdLVt27dvx8c//nG88Y1v7OpxZxKTa4ZhGL2jjkx7LszXem6R+Mwzz+CII47AG97wBpxyyim5fb/5zW/wgx/8AO985ztxxBFH4Ne//jX+9m//Fn/0R3+Eu+++O1f2Pe95DzZs2JBt77333l1pH9dKS6bzUZw2HVNCvih3apVATb0KaKsuSoVDLA2qELLYiiunnVMxtZOyfZaGVazJSo0Eem3GrJ64Wl4M+UOGuxfUKkFwbYrbH4YwSS7Z2bZItq6+5nW62Iq2X7N1pfkFqIWm2+YnK2uoVk55TkNcLbWvSNMd4NfoLv0m06TXoS+oRCykvXXidoiE3ArprrLvvSTBn1dap4Ref5ktfTarvEd88kqV+e4rv7TQmha6JOQtrIUz8dXtxpI9tDytw6wZtOaE3k8JT5npeAcH9VXterVnyv1P3Za5vGtd2kBMrBDj8tAmZbd0uhdb6YRf/OIXGB0dzbY1a8SLL74YV155pfdY999/Pw4++OBs++GHH8batWvxZ3/2Z7n393OdfpNrEpKlIM/3uS373JmBtqVirk6gFWLOCpCmUyUfAflVkOaOdD6AfBudTG/ELQvFlutzGrcXaYnivHUihS50QV2dm2PhsAWIXB0+D8tcW5XFVZpn1LcluLsy36buyDRPXE2ZWxcSy0WaP4HhgiuztApzkkQ5K0TRfTlbOWvAXQC9GH6x0g3oHCJfCvm5MiQMnLNUbFkpZtfGVoB2rvWR5EbXpWFf3qrV70pvhNNz+b9u3TqsW7dO3Dd//nxs2rQpl/eJT3wCL3vZy/DQQw/hgAMOyPL33ntvjI2N9bSttfAptPjAt2zyRMtkkwpppUZAnkj4JgiaQ2rdGInSpEKaUMRCHTaRoFRUBNapWxYfsap7c8iEoSmMhThJda/XlVNiI7q8gVa5oVRfwTF0MtHNGInaNFQrlzsmV2wAReUGzeMHdsqQSCknNaSPSRBhsKKk7fcvXP1Mv8k0TclO37watWIkOiQFvqYA8T1rPqUJigsP8vdt2cqLEl2Lg1PnHeFTnHnRVm0GyS+rR7dD8X7GgS7/K56n9n3poA6jTr+Q+l+hj0bkbvB2at3XFxdRep60SR6j2zESgd7ESexEro2OjuYUiRoXXnghzjjjDG+ZFStWZOlf/vKXOO644/C7v/u7+PSnP12pbf1Ov8k1Dlc2Sasxu/w67sztfFInTTMFIlUeFtyXQxSHWhlpf1WYwjB7bLhSMSmWH2i9BIbItbVl7hRTKrbjKPoMJYaFFCdFLL5veT5dTTqv/Kkfp7HoykyVh3Fh25XRynGF40TruiVX5srKQ+62rPWpEOVhp31Ms09KQtIDQDwE6vY8FQsPlI8aP3cMWXkYsz4mGRV1OwxVHZkG9P98re+WgnnqqacwMDCABQsW5PLf//73Y99998VRRx2FD37wg0gS/YkYHx/Hzp07c3+GYRizkTQbClf562/BNJvohkwDTK4ZhjF3mA65tmjRIhx88MHev+HhplLg4YcfxrHHHouVK1fi2muvxeBg302fphWbqxmGYYRTT6b1/3ytr2xudu/ejbe+9a14zWtek/ua+Dd/8zc4+uijsXDhQtx555245JJL8Mgjj+DDH/6weJwrrrgC7373uztuT85yLSbfYTuxmnPlg7++S/483IasylIZVSmzI9PS3J3Jc5GSf4x0j0LdnMosPwu7uuveXCnoum+bW81Jrk3cCijAKiGO8oHXpSb4qLLYimZdyO1ZJespXtd5WMRxO136+0uWimUEWkj1y8s9RYSGWST2Jd2SaUC5XONd3Pe80fLaYitBzxt/F0v5EpqFYiSnk6i8v9axTPThgoKXhjWRrp/Dy5TKf35jucyX7Mi0Bkhv6TLTBOnNTXuMZoUoXaDLV26Udi/K+pCvjHCqwVCrhwqU9bl2v51U+3Yuz3e4sucsZfvJYms8tIl0KJ+TvG9t8F45hfWTXHNKxAMPPBBXXXUVfvWrX2X7+tJTqsdM51xNcjvkedQVmZcrc2cewUQun1shZsdK2oZTohWiZB3GXzllFmS+fA2fpRhNp8hbKtJBPNk3AN06MUfAozZM/uXw34q6M0tupynaC7J0S9bT82grNdOyefflcHdmAJk1YpItsBLnV2L2WSG6/0OsEataKZZB+wnPT4Q0rcPLAHm3Z9JRXe+aSqLMnT6NU0Rxgjhze04xHLBmFrVoTXJ9KZ8vlevtqs3VZRrQ//O1vlEkTk5O4s///M/RaDTwqU99KrfvggsuyNKHH344hoeH8cY3vhFXXHGFGPvkkksuydXZuXMnli1blisjdZZKCiVt8OpTdkkvd9+krPDAUxcl6kwS+magCsfQKHfadFSCTlOlciUzLmmuUbWH+pRKJPZCmXtzt8gJqlZyiLfLUeVdUTaZcPmt7ThBtoLjZJIvwicJkptSpy8K3otili6LvjWEtjuz2LgQZYb2PMYIU2wEwJXI06Fs7KcJl9GmmzIN0OUa7crS2xooPm88LdV1z1vuueMfNOj/PE3zJLnIqdAlqzxXoWUrxcnxvYvc/5oM8ynO1CZQmc2j2oa8nXk4k5A63Yi0yfMYvnvBy4X0oYqCKvQ3D+1Dld/3vrAa/JrH2X608njajQFYPDQptEmVGIkSrif1YiLRT3Jt06ZN2L59O7Zv3479998/t6/RaPTknP3KdM7VtFiINE3zeIzDcHfmvCtz5s5bpjwEigoeTanI0/w4EtrriT5wvH4EWalD0/Q94coLCscBVj3K4ihOAfNIfQ+RUCBFlJtvcyWhpuChMRWpCzSt43dbLrosS2W0OjxeorQ6c9nKzM6deXL3MMRVmJMBWXnI/y/L07ZD9vEvTNI+Xx+TvnkmKAqLTKk41J6gxokUBCxDi9mZK8MeiljoG1RhzWMn9kqZaIrEHuIE03//939j8+bNpbFNVq1ahSRJ8OCDD+LFL35xYf/IyIg6GQslJ7DipDnwKpsklRGiPCwgBV+ng/rQKDfdUAVJEwZNeThE/sDSLNB6yGRCm0iETtgC6IZlYuWYCpLiSrL+0SYVLi1NLMiARgu8DuR7jGZ5wKeeVW1gfeplXk7sZeQ+DcVCbESQbak/lFl7UHzHbkEtpKpOHrsddyOditCYqjjhqljeqEa3ZRqgyzUpGl3IMhkuHUv7WPcYkLosVcC7bQd/j2lo8pMcNyX7tQDp2nZd8t4IDWQyq0MZE6x8LY2PXCdGYlU0BaF2fF95Rf7zaqX3xYNXYdtW9nTjI6LUz3yxO9OY3BFe1Tv+I/ukj110LBCxbZDnlnZn4pFQdloKjbDJ5X8vfGH6Sa6dccYZpbEU5wIzOVfjCkOaTz8ISNvN//OLqgxjIsunC6rwWIgDVFkTojwMiYvYaew6qbym4OEKQ5fPFTwQtsn1D8XNhVkcw7ubbwEXO3E8kn9HOQ5i3rJQ+22pwpEqDrsl5zXFoqQglJSNUvxEyQoRAMZ3j+RjISZRuPKQ52vbUtqXp+FTI0gKRG7hKqV5/yyM/QZYQXFVAWB3y8513oQ4p4uQFqwQJatEGhexqTzslW19mzoyDej/+dqMKxKdYPrZz36Gb37zm9h3331L69x7770YHBzE4sWLp6GFhmEYhhGGyTTDMAxjNmFyzTAMw+D0XJG4a9cubN++Pdt+4IEHcO+992LhwoVYsmQJ/vRP/xQ/+MEPcPPNNyNNU+zYsQMAsHDhQgwPD2PLli246667cNxxx2HvvffGli1bcP755+O1r30t9tlnn660sbImWrtrIVZz0jGkNNf85w5C7ca4i3PITyrFTOLH4vu5tUGspHn5gM/tPiuNkK/12vGUPLq8vM+EOcS82fdlLO/WHCG7vx26zxas6ySrBCDvCkWLxyjESwqxMPQ5w/t6Dm0m38+touj+gq1rq1DMrQ7pNqBbSdG8UKtW6ZgllMVv6faXr8KKbwE0KpY32vSbTJMsErW3NYc/Y8HPGzzbvAE8X7NC5PlKo2c8NmnZtfnSvD5PF2Q+PUCZF4L2K7vxgvQG9wXXcnC7sxi6FaL2Jld+9JBxED2EL60ddwYQ+6jv+qR8em3crZnmU8tfvq2ENqGjR19Yk9Db2BOLRJNr00o/ybWmfVdzMZu89aE8ducrOEsrOpe5MwPIrBFFd2ZudahZJ9J9EPY5fPETq0KedQB6LESXptcSQ7YcEyjajAHObmyk9ZLilompcGF0Je12ubZ1ouTOLB2j7ljAN0b3uTVTC0QXJ5FuA0V35vHdI1lajYXIrRBDXJtDrBE7tXyl8PEJ3fal6bk1eZ0j71CvuTlH9F0ftfsSX5lZ2y72s1is003qyDSg/+Vaz4dbd999N4477rhs28XDOP3003HZZZfhP/7jPwAARx55ZK7eN7/5TRx77LEYGRnB5z//eVx22WUYHx/H8uXLcf755+fianSTnOCJqP9HitxwqRMFl2/wrB5Xc3UKdRrVlIduX9mxqjjLufJ8ihswkfBNJOtMKmZ4QqEivRfKFFzahEmaTLhzkIFDpjxM2nHPnItzL4y6y3qQy+M9KBbKD8XtNhfcLLXnhis4qvYFpY5zteSBmGeKNIkxkFS7uEbF8kabfpNpXI8O6G9d6bNP7llsdePC86aFW6D/84bQfO3xCFQE+cIBdBoqIEix3y25UjYG8NLJx0NOWYxkX2zkkBiJ9K1eQpkysQo1fqdOP+xU7pu+cQ2HujNT5aH0zLl8QVnAQ5s4qIuzFNYkNJJ2L6SfybXppd/kGkeKj9hM+92aqdKKxkvk7szNNPLuzOPQlYcgad8+B4+dKJXx5Wn4FDzuvPy4tAxdhMWV0RSOTsEK/k4gi9JE+cb71iOIcmPotiJIcmfmMe3o+NvFTPThi19OlYK8bM5luZV2SkUxLiJxZ05IOlMiUnfm3VkDwl2bpf5VRXlYtW/xejHbdnk0X0rzn4fvo+l5eZW1pExMk3y/ouGm+KI8WixNaSGfXlJHpgH9L9d63rpjjz3WG4y4LFDx0Ucfje9+97vdbpZhGMasIE0GMVDZcmOwR62Z/ZhMMwzD6C0m16YXk2uGYRi9o45MA/pfrvV36/oNn/VEyF9IeX7c0hNJ6+HGyNt6DQl1qLWg1pAhT/2yND/uEJrfsQaKu7QqvnsTQuF+pnA+C1GUZhandJW3TqwT2gF6o9yXqiw/zi8cILYxBH5fIpTfw6hplTAQNy2NYvcX5auE/LLd6kFDynlA6sZR6y9upwG0rZyk+1nWfyL2F9rf6vbDHuO+gFb96yVPPPEE1q9fj9HRUSxYsABnnXUWdu3a5a2ze/dunHfeedh3332x11574dRTT8Wjjz6aK/PQQw/hpJNOwp577onFixfjLW95C5Ik/8zefvvtOProozEyMoIXvvCFuO666wrnuvrqq3HQQQdh3rx5WLVqFb73ve/l9h977LEYGBjI/Z1zzjn1bkaPGRL+APlZlZ490XacPm/aM6ZZINIyvC5/3jhCfhq3hymp8I6VqGshHFP3tzgtX5gj5FokGQclnTuWk5f815G8A7hloJRPjyP1Gt4TeG8KPQ9vo9uvyH96KJ6u8l4ueTfT35P+zlUp63dicP6YDbVDroWfJuSe8bEA2UdlqYP/6r73gybXpdAK3aAf5ZoxvfjG4/lxe3GlZmeNGOW2SX6S5hZXyawRd6NpieisEanFId3e3fqTyrq8lKR3C3V3s/K0Xsrq83xp/7hwbO08tC1SPr1ufu3jzfs0sLt5z5r3bwpRMoWR8YnWfW/b7VFrUPd7FX/Ddh3t94/YcTpFGkdwT6PcHE57v6O5wIpza05afxO7RzBFXZqTGNg90PpD8V5Lf7tR/E2lPiSlpb+yc5Sdu2pbyq7D256B5j1r3b8p8p5P+Lu/1dPyT3ws/m4+GV4WmqoT6sq0fpdrfTgt7g9y8Tf4ZKKOQiFk0EzTrrwoR4fYjl4M42hj+HnigHSJWzO/Tl6kLM+X1gbo/YI0MXf/8+vhijNex7kz0VWctVgVJF7SZCt/KAaSinKZr+DsQ5ta0gmJ2puitnvlEO8HbttNnLS4iCHx23wodSTXh5kiSSIMTPZXLKn169fjkUcewaZNmzA5OYkzzzwTZ599Nm688Ua1zvnnn49bbrkFX/rSlzB//nxs3LgRp5xyCr7zne8AANI0xUknnYSxsTHceeedeOSRR/D6178eQ0NDeN/73gegGdfppJNOwjnnnIMbbrgBt912G/7qr/4KS5YswZo1awAAX/jCF3DBBRfgmmuuwapVq/DRj34Ua9aswbZt23JB4Tds2ID3vOc92faee+7Zi1vVMdorz/e88TRQfN4G+DMHyPFdpedNCyvgnlXJZZNdRKPKczpd+NqkyTII+WVyLSf3JcHGo9m5PMn9ue74QHt78+2y3iX0UG2X9p7ndUPe5X3Wf1x/zq1ZzWUZfy7odY4L5QClzyD/bKXt53kozbs3T7pxgaftvsA4ZXXr0o9yzZh+fLEQaV4zPwna34yLmHdnBlouzSGxEKV8n9uzo9OVm31l6HuAPPfZu6KKy2kqlJsnn3ZgNxDn9k2158wRd19uX0D+d2kr66iykLqiSu7LVVdx1spRN2Vajufx1ZyluIhNBVeznYWYiLs9qzNrbs5g+WXuzCFpH1o5ro/wzTVD+lkoiRwzMSVCLIrTbKXsKCq6wGsrNUtxEanyeqrLc7s6Mg3of7lmFomGYRhG17j//vtx66234jOf+QxWrVqFV7ziFfj4xz+Oz3/+8/jlL38p1nnqqafw2c9+Fh/+8Ifxyle+EitXrsS1116LO++8M3OX+vrXv4777rsP//zP/4wjjzwS69atw+WXX46rr74aExMTAIBrrrkGy5cvx4c+9CEccsgh2LhxI/70T/8UH/nIR7JzffjDH8aGDRtw5pln4tBDD8U111yDPffcE//0T/+Ua9Oee+6JsbGx7G90dLRHd8wwDMMwDMMwDOO5Q599s50efIF6NQbjVF49qMw6Dp7/Q+rnvjYPCAWznT2Af4PWbFloecmxDmDf4eXD1rFO8KHUKViYTgOFQMCdWsdR6wS6j34B4qs2t8rSwOtA00KRdn3+0akTfIs+uDzV+S5GbuXYzEKKWzFpVh3cUkrrT4EWUo6CmxrdR75gTddiLI00RqPgM19Cq/zOnTtz2SMjIxgZGZFqBLNlyxYsWLAAxxxzTJZ3wgknYHBwEHfddRf+5E/+pFBn69atmJycxAknnJDlHXzwwTjggAOwZcsWvPzlL8eWLVtw2GGHYb/99svKrFmzBueeey5+8pOf4KijjsKWLVtyx3Bl3vzmNwMAJiYmsHXrVlxyySXZ/sHBQZxwwgnYsmVLrt4NN9yAf/7nf8bY2BhOPvlkvPOd7+xLq0TNtdD3vNG09rxlSM8bPUEk7INQLgSlTshz1emiK3qbmD1WqCzSrr+WXKNeCNw+bJKU8RG6dIZ0bt6b6BvbEbPtIaGMgDYu4mU6uue9GSNplunUFa5AN8Yy9Dq5wE6FNLFk4e7NVT0SJHrhE9OJXDNmH0U31+Lcre3W3LZM1BdYadYVF1dx29Q6cTdk60RuiSjto/t5utPVm6n1oXQM+ki4MhErGyv7KLuhvre4VWJEXippROfbuhWitMCKtoiKK19X5nMLRN8+6h7bzms7bgP5BVbSJG67otLFVZw1YogVYlla2oeStC/PR04HwbbL0vzn4ftoWrF4xW4UFl8BkHP3TXP9rV0myuRw+x3AF2BpNmt6FlupJdOAvpdr/d26GaYQnyNuBRuOPUoxCWkQGKpU5A9xxhDZ0aufkR9Xmo7ScpJKSNLkQX/RaNdfdp+kOoxBQYGorQRXF8k8PtvOFFBMJU3b71NqjbNyLs0nE2D7mo3JCQI6r8otCJXKTnN1kZQZNJ+7Nru4iFkdbfIUsXRIP5HyQ4mLrpYz7dKcQd0nqtQBsGzZslz2pZdeissuu6yj5uzYsSPnIgwAcRxj4cKF2LFjh1pneHgYCxYsyOXvt99+WZ0dO3bklIhuv9vnK7Nz5048++yz+PWvf400TcUyP/3pT7Ptv/zLv8SBBx6IpUuX4kc/+hHe+ta3Ytu2bfi3f/u3wLswfUhhDIEKb+hW14lj5Fdq9j1vLu17xrSwAtqxlS6cxsVBfS/IuVpJ4UzkSroskupr/0v1s3c0H0TTStJau5yyYBRlisiY7Y+VNC9Dz0nGTKHvZe09HXrPlTz629aNkxhCTskYRxDXnuQfvrTnZJyVG1fq8FVWhdAmAxA+JAJFhUYFeiIJO5BrxnObpgKw+MFWGqNLKzU78is1J5mCK0qm8u7MXFnjDrGb7CtzedaUh5LSMNSt2fdMUpdlivLcF5SHZYrDijhlbAwgTeRVnKlbqaY8pKszU+jv3K2xt/eDT2u/T6no3GldzD6XnqLuzMmAO1i+P9C+VUWR6HN7hrJPvjgdKjc1d2Zajvc5WleS1RK7STmuVMyNhZoHmSLKw4QqFeMo63Oun7WVh1HuXSG5M9P8ipqecurINFevj+ndqNwwDMPoPR1MuH7xi1/kXHZ91ogXX3wxrrzySu9h77///mrt6FPOPvvsLH3YYYdhyZIlOP744/Hzn/8cL3jBC2awZYZhGHMAUyQahmEYswVTJM4NxC9ekiuszyKOp3kdLe2rUwe1qJUAAJcTSURBVLBQ8H2G7xY+12aap1kqAKJOP+SeaRYLPK+MrE4jl+1fDa7c3V1ztfOVczRitpBBCNw6gae5VUKzYe18ZrianT9Fzs0JyFsruDtR13Up1LVZWmCFrio9IFlCUcrcK2kZvs9nIaX8TgVr05m0TkwH2l89q9QBMDo6Ghz778ILL8QZZ5zhLbNixQqMjY3hsccey+UnSYInnngCY2NjYr2xsTFMTEzgySefzFklPvroo1mdsbGxwurKblVnWoav9Pzoo49idHQUe+yxB6IoQhRFYhmtbQCwatUqAMD27dv7TpFY17XZWSPSBVZi+hz5LKUAeaEV6R1Nra5CYeOtspUVqx06zAo9aplq5Sy0a8kelqe9o/h9zokozUSgU6dS7iYtXSCX6dqiKlqQCnZM3zjJl19HZhKiEvfmut4JvrFAbl8rOVSlu0rWuvReSNYiRLbn0qSszyOhDj1Z7q8DuWbMDvhqvw5qzcbz6cq/OetEtsDKALXsSlnaZ3kIoYyvHIR8vg9sXwiSJaI7LrVWpO8KaoXIrRbptvTe0FxPHW6sDiDK3lfywivt36dtEUbflflVnbtrhaghrczM97v8bD3q0gVWhMVVNHfmUDdnydowxBqxSv/SPNw060QukzpVT3gtdp2FZ5RbeMX1szSJCu7NeSvEuPV//t3SXmAnFt8tXaGOTHP1+hhTJAKKQMr35ChOMZWNvgKHTXxQHKo8o/mSmwqAtoKuVys28wbRc/Epam5qKqRZtSrX79vWjlXyEuOK4W7HRpCEkCoEJcWVdG3j0CcVvpe7FC8J7bQ0t+pGzCTaHIfmakndK2mcttzKsVyBASHf7aPlJGVIxMoF4sYGaZz/LYuTx2l+rfLBRWidiixatAiLFi0qLbd69Wo8+eST2Lp1K1auXAkA2Lx5M6ampjKFHGflypUYGhrCbbfdhlNPPRUAsG3bNjz00ENYvXp1dty/+7u/w2OPPZa5Tm/atAmjo6M49NBDszJf+cpXcsfetGlTdozh4WGsXLkSt912G1796lcDAKampnDbbbdh48aN6jXde++9AIAlS5aUXv90o+lYfM8b0FYilsYh1dIxis+R5s7MG6u9v4XXZBKFP1/TEj+xqizn25pc0+okQP6DXIzwuIhV8amky1ybNYXkQDGLFtP6SWidkPtfk7IYiCH1ANeHiUq6TEnvG//QsQCQ7ydUzgd8SIyBwofEOsOhnki8aZJrxnODKkpFurpzFi8xoUpF5JV9u0k6EbbR+n+cpLlSsUx5GBIvUdouIycnUJwTaMrDqg+tFiNRyKPvFCleolslNx8L0R8XkZOPhRnl0tn5QFdazqdDoPESC7ETyUrNalxESUFYR3mo1S9TKoZslyH1L7ctpelPJ7k2SzKOK6l3s3y+DTTvMVEecvdmAMTFOW79PwPKQ0odmebq9TG2arNhGIbRNQ455BCsXbsWGzZswPe+9z185zvfwcaNG3Haaadh6dKlAICHH34YBx98cGZhOH/+fJx11lm44IIL8M1vfhNbt27FmWeeidWrV+PlL385AODEE0/EoYceite97nX44Q9/iK997Wt4xzvegfPOOy9zyT7nnHPwX//1X7jooovw05/+FJ/85CfxxS9+Eeeff37WvgsuuAD/+I//iOuvvx73338/zj33XDzzzDM488wzAQA///nPcfnll2Pr1q148MEH8R//8R94/etfjz/4gz/A4YcfPp230jAMwzAMwzAMo++YZtOZ5xaqhrrqF3Hp63LZPq69p/tUl6du43NMlfZxSwVmjhtyz0KsNep8TYsT2UWdF+vgq0TZVzT3lSSJpsLtSKglEM0L+UqkBV5P2scbiAVDGPIF1bWTuvfxD54+ylybuXslXfAh9llC8fwya5ayZ07rj5IVaItptzzU6EPLjRtuuAEbN27E8ccfj8HBQZx66qn42Mc+lu2fnJzEtm3b8Jvf/CbL+8hHPpKVHR8fx5o1a/DJT34y2x9FEW6++Wace+65WL16NZ73vOfh9NNPx3ve856szPLly3HLLbfg/PPPx9///d9j//33x2c+8xmsWbMmK/MXf/EX+NWvfoV3vetd2LFjB4488kjceuut2QIsw8PD+MY3voGPfvSjeOaZZ7Bs2TKceuqpeMc73tHLW1abMtdmvhQGt/5VF1gJlWuh73Ig3M05lheq63VIAdE6PU6BuIbln+89JO3j+YVnlH/q7wXSO63MtVl1nNdPoVm2hL6zQ8nuZ2+9EIDyvun681DIdXCreRrOhD9n3Otg3LOv3TgAxYVX2AVkDMG/CFtP/GL6UK4Z/UHefTkh+Wn252iv1DyVrdQ8wF2RuVuy5KY8jvwYOqSOz7VZshrk+PozHedrdagc4e9Q7rkkeTIlkF2a6XF2szJxcxVnAIjntRdeSeO81WDELA8168L2gixpLt2p7E9BVl1macmKMV83LljB5RZY2c0WWHHpkAVWyspoVoha39L6UEjf4uV4f+LzT1deG99o8D6ktTF3XQOZm9gUkLmWx3HathSNnO1r2qoeZRar07VSc45ZapHYJzPh6UczkRfLximiOKm2mm0VZYWvjDSwznWqAXT2M2pqIX7MwnRU2EfzBSViyCQ15PpD75ln8tF2fejdE5oQ4VRAisMntV9anVGaVEgTBq5UlAYeabEHJVKTPe/buj0IQMG9ksZpK8RF1NzBtNhstJxUxqMk9JFEcgwVYIZiJ/bhhGvhwoW48cYb1f0HHXQQGo183NJ58+bh6quvxtVXX63WO/DAAwuuy5xjjz0W99xzj7fMxo0bVVfmZcuW4Vvf+pa3fj8heelLzxoAUWmvxkWU0mBpXk4rwxtY5trJKHMlBbr7rEVRyUfEEPnF60j1Iezj6exZHRB21sWNZrTjaI7xbrssnEmMyh8SpTKh97PsuAT1t61BWZ9T+63WZl5cGgtooU1cGRofLRLKIZ/2ho4UbpWkVOyJlOtDuWZMD4NIEFVYM5UqFakxQH6lZrS/J/jcR7nCUHNn5u7PZcpDTXGouaSWwRU8NJ+O9SO2z5UPFSGSWylX/CjvloGkHS+Ruzg3VTxthWGIjJ9JcgrGlluzU16lZXERaVpTGFaNkehTKvI8bVtDm9DRvqWltb7IZXqZO7PL8/UzMlml8Sqd0VCaRkiitvIwdL7vfufBbvdJUyTODbwdzUmheKj6oBiefb60VqegTOQnqAK1O9O+LYcusNKBFaI0cQidcFRAs0zsxteJUAWTF6rg0mKOhX4l0uIlIZ+mPWiP1os7ToAk5KspavQgxSoqF6fN1ze4IkJSepTFb5P2ec4pWUg5ZnQQlMBvLqLVMWYFkkWi9KwBstK+NC6i9kxwBaIUP5GWo/X5MRiNGEjjZuQV/jGGWg90A80KPQ6wYPccVJZXUjrkfVeQ972MjexO6pAsEsviJdb8kMhPX5ZXAe337GZsJGrVwvNdf27EU7KKRHrmqPJQklFUro+zY3ALRKUP0niJXgLkf1cxuTbnycfBa1sWxUqa1gOQW2AFIAus8BiJmrLGp1QMsUjk42dNydPJwit0nA8UYyHS69SUitwiUYIrdajih7aXfXR04400mWrHrstsw9qxLDXLQ6okjrQBQ03yi6e0rRA1S8UsLVkj0riIPkWgpDDUrBClfE15qPWtuspEIN8XnKzR5pq8HM/n0JibNZTUzWtux1+eysWrbPUZp1DMftum+rqYbiuJ+eIsXaWOTHP1+pjujcYNwzCM6SdF9QD502zRbxiGYRjBmFwzDMMwZgt1ZJqr18fMeUWiao0gfOUKOJj+JV37Cg8ln9fh5RwFSwXtJ6UOKQUTB1JGg1soxEJa+M5eZoXAy2rXr1lxSPXFczbd0yW0rw8hv79kaahZp7nVR9N4sh0nqey+0H3UOoFbq0hWCK6sK0fdn/nxWwQ7yiu3RutB3Coqy48Fd2bJwqksXeXZ4paKfF8g9CuXvH+aXq91zOX7/AuXEQ5fibmwP0ZuFcWC9W/Zu6jMUjHE0sz3jpMsrRSk922Vd3AdBuMUU7Fzww+UcTxfywu9Z4XntdN3ixT9luZL5ypzZw6MixjaN3wyv2wskZVr/m6DnViXMnjfquWFQNsvFfM9WynLT1kZahkFkqb3SYmXWBh+tDIS1v9cOeetaDESjX6gHSOxZcWYpFlcxNxKzQXLplbaldHiHWpWjJJVo1QOQj6E/RTp1aVZFrpt+q6ISvJ98HOLq+eyMuw97axAo6jt3uzmQm3LwwTAcECDWsfq0DpRi33oI0GENGXv/txKzUpcRG5dSPdVsU7kFoma5WuoZaKWFyv7+TiEyqRQK0QN37OgybHc9bdPSq1FoyRCGk3Tiswh1JFprl4fM00z3ec2UZQijtNsMDoVN4C4bVJbqhSDkA4dVJdNTABBmSgVqkvZchkxxMkV0BQ2dScPUr42MevgBdbLF0wtRRKfqNMYiZGSTycPNH4inyyUuS600HoQnVQ4ZcRk4AuOKw9pfsGd2V3nPMhKBp72KTqk+G3SZJ4inJO7WvZ7PBdj7hAPtsWR7zkDkFM0ZkrEEVcB/jikvrS27eBuztKzTNw3kwiZG5SbGkp08zkM+nAoKXi0cryOVr9s/ODSPZXz9MScIfZ/7EkrilbfPQsZ/2hjKek8PO2hm8HW5aD8pA/Txdak8Bu0zc5NWXqeaBxEOhZwx5LkPB0jAOrEhCoT46itKASgKhUBNPW1U8V8w+gmeTfnYtoZgLgFVijeBVZ4misJgaaCh5bjsROrKg9peQj5PiTlnTuO5tqszRtdu9x+adEL3/m5bOfX2MqPY2QLr8RxijTKL5giuTCXKQzd/G0ioMmAf04muTnTdK5sKz5iboEVn/KPprV9WoxEni/1IS3fl9bQFMNSP9LyQmR6bXdmYV8ykGtDO3ZlijSOMsU1jcVJ0+EqbENicKYbYBiGYXRAUvPPMAzDMPoRk2uGYRjGbKGuTOuRXHvwwQdx1llnYfny5dhjjz3wghe8AJdeeikmJkJV8026/Tn7OQkN+FqLUOu6EIs6rQ4/HkXsZO7bMv+cwA9W1kPpySTrRMUaUfr64LtOfiqf5UaZdUOuXNu1yQVbjyK/23pVK8Xwr1ytryTxIBpx88tcwZU335D8z+TSqZAvuT1rJuHFRop0uh44gJxVlCO3UiwC3Zlj6FZR/DeXrBClY0nWHoGWLBo+66meUUfQ2IRr1jBvHrCH8BrOWSf6QgeEPG++97BUTlscgp+nBr5nLNQKXHv/U6uIYMrkv5SWmqm973n5gmViJ29pGvKkbJmsmGxL6ZKF1kLGMjy/7H7WeF9HLWks7wuT/Xo4iyj3f2X4WIBeZ0L20bEAD19C94Gkab/R7hn1DkjKb62T75MNAL8pKVwVk2tzHroIR535WZRMySs1a67ILk1XZOarMwPFRVi4VWNd60SOrz9zmSCN++u4NtNFMELg72purdjK5ys4RxG1PMwvniOpMZpLY3TXgywkPFFuoQ6yMnCllZpp2m3vVtI+60TfsSHkg+X7tinaeIPKId94JQTf4j3aQj6qRSLg3JunklRdUFUjv6hOD92g6yoFeyTXfvrTn2Jqagr/8A//gBe+8IX48Y9/jA0bNuCZZ57BVVddFXycTvUEsw4qtHKm1nG7c07FCRAPuQr8AMV8aXAcmpaOQx80tw2WByA/sOdPfQh8YqFMGKQikoKnW9evpTtUAgGduTp1rEDi10xdmKDku8lDSCxEIS4SAG93cL/0UAw0hHJDsd+9WVJmAMyVGci3n7pauv0jrCxPh7pAg2w7NMVGiaultMpbCF2PnSjF2wmpY8wKhmJgiOtwpGcNkJ8VTREYmpb2+d7V2jZJpzHaMWXJ8+VzZa4Vq86Dk/dRnDZlPtCU+7zNlC5dv7dO4Vnv1M25LMKdO24Fd2ZarcpYAEJ+2T4pPztn82bR8Vsd6vSt3MdDRGExknnIEroNkqZKC7ePuyj6PiQGdhVJ/nOXZwAYaqD7mFybs8RIEXsc5riCMcqlkywWX5QoKzVryj6nINTcnrk7M82vojz0KRFD+7C2UjMgy4tuDDsjIe0UQolQJs7n0xWcnXuzfJpypeKEUN4Hf1eHKA8L+8jKwJVWanbpsviHCChTVh+Q+5m0reHrS7GQ1spw+cbd5stibrp7No9sq4pEF6Myyil8XZxEAC1VdDut4cp03WW3jkxz9XrA2rVrsXbt2mx7xYoV2LZtGz71qU+ZItEwDGPOUOcrV4++cBmGYRhGx5hcMwzDMGYLHVok7ty5M5c9MjKCkZERoUJ9nnrqKSxcuLBSHVMkdkrIF3X+RR7Cvip1eNpBvwqpVgshB5LwWCHSQ7nDzUP5tfnSdeuA75MtEugXzE5cJzgps0KgX7YyC7Y4QhI1XZuHuIstbT+38EmF/BTFBVakL5A+Vwpu4UpxbUt160RppViJgmWUO34sbAPVfn+pPrc09FnIgO3j+V2kkttkCDbhmtPEEbLFVhziswbI7st0W7IGduW0fH58Xk6yVJQWm6hBpwsfdeVZDJX/NB3yXpOO5bbFZmtuzq6CtlKzhm+hNbddEtqEpjt5r4femw6o2xdc/6ttaU6fCW7N4/ZJloe8visT4pFQA20ECQBxLywSTa4ZBDpW95ZJU0RuUQ9t4RQo+aFWXzQtWTGWWSdqbdG2fXB5QJ91zYKMzxPoNrca015rND+BHFKI5dMVnPOHSpG2GsAXV+k49FgAWrgUurozX7E5aKXmMotCnwuzVkYrByGf75O2fUh9S5pfataJHO7OLLXJZ1lJry1W8pMYUy2L5DSJkSZpe1zLKLNO7HqYqg4VicuWLctlX3rppbjssss6bVXG9u3b8fGPf7ySNSLQs6ny7CRqKaUm4xSZazNFGvBL++oMpKXjlaF22AClYCjdmDCF1kdAOmBi0XVFTgDeFxK/ZurOpKXpQIHHRaSDBQj5QPEeUdNxOiBQbhWNoxSEpGxw+TH8ioqQtNaHNMWG1iZFqUtdLTul667NxpxmIAIGnA+G1LU0hTpX4vO0pFSUVlKX6mvxFqVzknY1sudtMOfOTOMUaSsp1qXyBCVUqSWlpf+1dMhx1Q+G3XjH0GNwpWKgOzNNV5H/2rZ0Hql8hcvv5gSVx0QOipHM3ZldmstiScbTsYBLU4UAje8mN9iPIue5/B+wFZuNHhESz7ZqXHNV8efyuZKQpxPk3Zw1haV0bNoG+r+j6uuIxzvkY31qgBCCL3adg88NuMJSisuYIKfQcXESm02Lcr9ze0VurlR0Jx3u6L1N38vSPpqfvbeTCEnm2syViihX6pUpAiWlouTmXKawBPS+VXXqy/uStA1Ukrdif6J9jrsy8/9pOvC8TgmcRFGhT2Vluq007AG/+MUvMDo6mm1r1ogXX3wxrrzySu+x7r//fhx88MHZ9sMPP4y1a9fiz/7sz7Bhw4ZK7bIZrWEYxnOZSYQbGdE6hmEYhtGP9KlcGx8fx6pVq/DDH/4Q99xzD4488sjen9QwDMN4blNHprl6AEZHR3OKRI0LL7wQZ5xxhrfMihUrsvQvf/lLHHfccfjd3/1dfPrTn67cPFMkMnjQXgDN78paoG7tq3mnX+Rdmmrp6XnUBVYUum2EV7X9Wjnfas5VzkPL0jZmAfOn3wpRI4kipHHzzTBELRIAfbVTn6WgZJXA0fKrIFknRCXHlT7y8GdGsyiM0O4/3GWZ9yvNWjEW6rsyUjlA708tnPt626VtBlZqzjeo3ldsY3YwAjkqtNSnJWtgyfKwymIrZQsdSW3hzz9vWxeo6vKsyfwoTppeCABUTwSeLrOsqyLLeH0eikIUbb7VnOlKzRraQmvu2AJlcr2OLA+9n2p72r+h+z1j8jtXsWrpxIVeRXJnlv4fZ3lU3nNXL+ne+FzdtMvisl2T/wDQC4vEPpVrF110EZYuXYof/vCHvT/ZHId7D1ErRC0/SlJEzlLWZx3o0qmQ1hZbkawTXR1tIZYyd2qar2378M0HNOtEzarZEbIIBoUu9qItukbqxXF7wRUAmCDvIP5OplaIvUSzTsxtZysDtxZa0X4nn9VgHXdmoG2dGGKF6PutOu1bVN7Q31fK52MCCrd89VlUlllh5tIDALEcdQuuAMjJugSydWKCqHc9rY5Mc/UqsGjRIixatCio7MMPP4zjjjsOK1euxLXXXovBwepLzGhDsFlJe63V/EAyL5z0LuReeoNxiqksKMyAPtil6ToTCV5HUh764tvxl4Cjjk4t5NqkNN0uUyqW1fe1QWoPo9OJRFVy8TWgrwTmnTxIk4yUleXxTqQXsvakh14+nVT4hIvvXJLyQLp2t4+7UfoUHlI/0QY0ZX2J3HPJ1dJH3g2T/v7t/K671tvqlnObGEVFovSsuXz+rJU9e1wpxJ9D+ryVKfTZ88WfRTfeS2O+Knq5Eie/knoPhzaSwktK+949IfJPOpZ0LkfhHeCLalcGL+8Jh9KJLK8y/ql7z7sMleVl/VLqw7kYyUC+zU4Z4Z5Ln8KQlgPy4wKQPCA/TgwdM2ofDKVxZa8UiX0m17761a/i61//Ov71X/8VX/3qV3t7sjlM82kZZHma8pApnpIpxJLyT1IY8jLcfdTnsuzSuz3HC43RCCE/lDL3U02pGILmckpfe+4dpL2fhHfVQJKPk0jjX04AWZrGrouENM2j9Sl0LCDFrJfSuTqp4M7s4iNWUnB59u1W0pJSsew8YPkQ8kMp61uaUlHCGUOFKKc7UiQCyBS++XdDs5cVhQRXHrr+MNtXbX744Ydx7LHH4sADD8RVV12FX/3qV9m+sbGx4OP0cLhlGIZh9Bw+iAitYxiGYRj9SAdyrRerWz766KPYsGEDbrrpJuy5554dHcswDMOYY9SRaa5eD9i0aRO2b9+O7du3Y//998/tazTCV1DrusKVc8cdd+Dkk0/G0qVLMTAwgJtuuim3/4wzzsDAwEDub+3atbkyTzzxBNavX4/R0VEsWLAAZ511Fnbt2tXrpmdESBFFTCUcJ60/mtflv3kVykl/2rFCjxsrx/Ll12m/76/Ovc3qNDAYpxiM08yaVIJaqXKrVbrt0EvktzVSxE0Lt3gws3hrNSTs+rhFj1YvJH+kpA79nSPyN8Lqav2OnofW5ecYIX/uOL774Y7Fy/E6EcmL2LZWh/weSdS2knJ0e7GHjklq/hm16DuZxp9n+qy5fdKz6XsOfM8RfW5D3lnSc0e3HXFzUaOU5jGctQB95za3PZW6gJMjheVp+XtDSk/nn8oA+xsq+ePlFWbqGrX7nGtbW/73Etf/in3SMwZw/Zz1f/U5CX3OpGe86nPOn/EQ+d8LcdiBXFu2bBnmz5+f/V1xxRUdNaXRaOCMM87AOeecg2OOOaajY/UrfSfXWvDxNwDwxVWypy5lz7qzAJL+UrKfp2m53WhbHdJ0opTnx5PK7RbqjLf+UpIO+ePledu1dkptTNgxtOvUykj3QSsHtNzQ2x5izd+yfwan1N05SSKkrb/Wzs7+pD5Qp0xZnd3kj2+X/SUs3WnbpGOUnafOH6G5cnNUWCCHjxmnJURVl66pW5xxxhloNBriXxV6O/oG8Mwzz+CII47AG97wBpxyyilimbVr1+Laa6/NtvmXw/Xr1+ORRx7Bpk2bMDk5iTPPPBNnn302brzxxp61m64E5kyl2zGT0rYnhzQY5PnS/yFp6X/A75rCcfV4R9TypTLSdui1uO15StoNVsvqS/fG1yYAYHERnTK4l+7MGtTNlZpQJxEwxBWD1L2J5ickTX+/GHn3BeqKIF2q1H+oG2JC8spiJMWo1odcHs3X3CtpuRHIfUFybdZcKkPOCRT7EfKullleq0BPYmcZfUvfyTSnOORI70bJrTg0fICU5uEHpHI+uUbS9KNKEk2Tm7IHJy/iOC24S3nljkv75GWo/Hdp/s7WYiTTd3Sv5mO+a5Nk+TyEX7N2n/h5ytrCmxwLH4OnkdwKzlGE4VaMykZMVkCmcRBdml6zFt/M/c6uj/CxAUjZKoTKf0AeZ8wg3V7d8utf/zqefvppXHLJJV1tZz/Rd3INgKQwbKeTQhkXH3GA9tGyeIc0XRYjkaZ5TEQpRiJ3bQZJazESq763+XPuzgvk5T0tx8MhhSKNkxPk5X0i7OPpESBOm3ES3bbkutw8TdHleQLu968XzS4RxhaqCzRRQE1lSsS4fU3u/9C0tm+3kuZltPoQ8qV9VeC/JZ+HSuU0mc7HLD4XZ35dVe4zACStj59MgZimEZKoPQ+XFIfNfjDROmzPbe1mBT0foa9btw7r1q3zlhkZGVH9se+//37ceuut+P73v599Cfz4xz+OV73qVbjqqquwdOnSrrXVfVOWKLy0sq/cQ7qyos7kgT50u4VtkG3Ar1DkSh7fQLAMbUAaOhHodCJRc/JBlb/5y5GDNneTBDTWRnsqmiJCGrsX2FRxsiBNzPkggNeRXu7896/zuzt8MZLq9KGI5cUkn+ZJig2uVAxRZkiKDd+z2kKyjpKFzwwqPeooDXrX7Wc9fSfTYhSfJ4qkPHT52vPCnz3pOXTndbKIP5dSm6RzkvalcXPgxp8jHmu0V8r7tlxQNCNxgtyCKz5ZqOWHyk9+Dum3nQd9ME3p9HmvIvO1dEg5fo6Q+6m2Ub5oGo+r22j9NB9/Kc76Ocan2v2fP3/aBzsn84H2cwm0x4tUTodAxxhcIeDg8h+sjMdotTYdyLVur265efNmbNmypaA4O+aYY7B+/Xpcf/31FRvaf/SdXGPkFIYFBWO7o8Sa8o5ul8VLrKogGmfbmsKS5ktt4oR+pKfzBq78kZSKEtL5I5aWnn2XT7f5PlfePT5pS9nb2o7TNFtwpagsHi7kF5tZrlT0jRnomJ6WyykXE3LxND5is1LnisQQBWNoHZSkpW2K9Du731iak4bImpDFVVy6qiKRkisTA5hAkkhymP/Ohc/F3aeOTHP1+pgZmPUWuf3227F48WLss88+eOUrX4n3vve92HfffQEAW7ZswYIFC3LuBCeccAIGBwdx11134U/+5E8KxxsfH8f4eHspXB4vxTAMY9bQh0Hp5zrdlmmAyTXDMOYQ0yDXQle3/NjHPob3vve92fYvf/lLrFmzBl/4whewatWqio187mJzNcMwjJr02WIr3WLGFYlr167FKaecguXLl+PnP/853va2t2HdunXYsmULoijCjh07sHjx4lydOI6xcOFC7NixQzzmFVdcgXe/+93BbdCWl+crQ7Wt2xJMurJxA9nn2LKv9lW+4kvb2qrNIdp6/kU7tDP7vvhLefxaqqzUzF2epfvB63jbqH+1zOd39ynV4iyIlmwxMOTGUTFk9ya3LyX53BVZepJT6PcmxKI1xF0h9NZJLhEuHeLaHCNvFRUp9X0ulfy4msVUC83VEvDH0yizluq61aJZJPYVvZBpgEeuDUN+/rVn3/ccuHJaKAHJ+pc/i7xOSBgBAEkEYqmdt+7S6EZcm7acl60aojjNZH8upEloWrKg077qa3KV54UgWZZx+D7tHCGyuCwdOuaRzhks8/PN1jwSsv1IOpb/ISs4c+tE18+TaAqZfauT/82G5a+ZeyRIY7mY7aNeLHUvUZP/jkjI6xZ9JNcOOOCA3PZee+0FAHjBC15QCFI/W5nOuVqEqcL8q5lOSFrYn7Dlw32WWpqloGatSNPcAjFRyvnyO3Vt9s3vQq0QJXxjdeqWyt9BUngkmh5B/j6PABG5Bs21WXo/d2POVgxVFMlpvlpzlob8u1WxSNRcmLtl0QhP2gfvWy6P/7ZVocelFop1LRJ9dVpMJfnfMo1cwyfyMln4/bs8UzOLxF5x2mmnZenDDjsMhx9+OF7wghfg9ttvx/HHH1/rmJdccgkuuOCCbHvnzp1YtmyZWFZ7IcXIx0Wi2zEJ4D1FXZ3KBr4hA26q4OHb9FihaANB6RhaPj9nleuSro2ntTJVJim0XSQgftRyb6ITCSl4c7N6PuhvVdquzHk3Zvq/S7fjNExmCqsBpyCk1yMJZFqGKwtdHlrlyxSGbkAgHZtPGCTXZn7u0D5U5m7py6fulK6MT8koHQvQz+nCoESyq2UxSK98wdrEsuvu9JOoPmCc7G4TjDa9kGmAR65xWQOEPWtuH+37ZaEEJKV92fMaqFSiYQS4gjAkHmmdRZC4nKeIHxjjFMGuzaFjgZB8IOzjD62jTTR5uZBjSf+7dNlYpiNZHlhObFfYh8R2lfDJaRbvEJHqUMdDm4hjgRgYkmR5rGw3DyzL/xRF+Rvy+3Ko/KfjAi20Sa8wudZXzPRcjcIVTXSRlQFNScetgST345Rt02PtVuqMC+WqKA9pWYmQ97bm2kyPy98bdAxPXU4pPmVPxNKxsm+EpKlSMQHiVp0oSbM6ubk2k89Fl/ZqCkWf8rCdR8b6KVMoSrER6f8u3YkicLeSToTtMuVhmRIxpG/xOWis7CsbBwC6ezPvZyGKxKD8ppGXc0tPkzTrjzOyYGYdmebq9TF1hhk9ZcWKFXj+85+P7du34/jjj8fY2Bgee+yxXJkkSfDEE0+osTpGRkbU4MqGYRizihTVLU763FR+NtENmQaYXDMMYw7Rx3LtoIMOqryy5WzD5mqGYRgVqCPTXL0+pu8Uif/zP/+Dxx9/HEuWLAEArF69Gk8++SS2bt2KlStXAgA2b96MqampnsQmkc2oEwDDuVX/cq5O0hfgQCuMIOsEvo+alWvWCe7rgWTRVsU6Qcures2S23JIus49a1khDsYpYmKVIFkc9CroOlAM4Jq3Tmh9IYkHkbTcMYbcVz3u3tSsXG6d4MpJ1oJ1n3T6lZGiuTZr5ylzbabb9Do1S0NXxmcVJZWj+VI51j7J1ZKngRn6umU8J+i5TKMWgxTt+efPkfaMaAus8GdSqy9ZBvPtqBhCAChacBe3/S+0brk7Z9stmTKJYSBuADFZXaJMfosyqmIdCl94jSK9r7klQag1mdaGEPnvC1NSNS3tK21LU8kTCQuudMuVWd4X58pU8kigljxuHKC5C0ryX/IGCLlUWp9bdkjHpu10mPibc0zHXM3n4spXa27+38ooswjkrwVu2eSzVpSOlSLvphpSHySf55W9o7VnlG67vJCxP7cU48cA9IVX3DkSYR9vV8LquCrJFKIRt3NY9AboZJXmMvh4PjfWb7nGTkluzVUs5UItEsssFUPq8HaC5fmQ+pZWLrRvAbplK0/7LBL5+YOsM4srNwPI9WfNrd0Io656IZhdu3Zh+/bt2fYDDzyAe++9FwsXLsTChQvx7ne/G6eeeirGxsbw85//HBdddBFe+MIXYs2aNQCAQw45BGvXrsWGDRtwzTXXYHJyEhs3bsRpp53W0SpgdBl5h89sOpemLjNxisw+Ox4Inzxog+/dJJ9ua5MHX4xE2o6yAacvn14HT5dNKiQX5nlKWioTMuFS2pJzZ6ZKYPZWmg5zeeoCRdNNRVUrroubINDrkQYZfFKRP1HnTzWfWEj5PC/k/JIyw+VrCghJSUHjtM1j+zQ3zFDFRtxWbHBXS572rd7c3i7eDIuR+Nym72QafwcD/meN15OeNx4j0efyXPbsSs8xaYcb46XxoDeEgJTnc2f2PWdlcZFzeUSODMZp/uNhmfzT8svkWpns19yAQp5raZIn7dPyQ+QvT4fIfCld5962GIyVMRt0Ge9zf6YfAvP5sptz5Q+J9FqcqyLdpmlJqch/u06/kdJxxky4Nptcm1b6Tq61yK3IrBp6tPZz92VNqcIVfFDK+eId7mZlQhSOUhmpnVWQxtza/KDsOKHt4e+GBPJHDz7vJKs2A62PJ2jmO/f0/FxNDkPVPI0elqQMeWwhfPRJouJqzVka+XSoUtCnJKxb36tIU9IhSHqDOn2LnluKs0n382vh45UQ5WmufFsOJ4kkowEeL7G4v0vUkWmuXh8z2OsT3H333TjqqKNw1FFHAQAuuOACHHXUUXjXu96FKIrwox/9CH/0R3+E3/7t38ZZZ52FlStX4j//8z9z5u433HADDj74YBx//PF41atehVe84hX49Kc/3eumG4Zh9D90IBv61+em8v2MyTTDMIweY3JtWjG5ZhiG0UPqyLTngFzrsrq1yLHHHuuNJfK1r32t9BgLFy7EjTfe2M1m5SizTnRfPqgVg3OZSeMov5JjqBUC/1oPtBdYAdpWCPR4dYKtJ2ybp3md0LwyiwDpmkMXWKH5VSwfADTdzmRLhKorgYW4PWuLq0jbarrV/jglC640G5D/zfiXofyJ2uWkfB+a5QE9XsLKaMfX3ihlVlG0HP1t6b2YJ5RxC6/QcmXu0DHbR9tEzd3jwcwFDeC/Xyzm833TAv0aXKWOUYu+k2nDAIaEfOkdTdPcOlBbIGVESfPnSDuW9EyTbff+84URCHE96fS5kxZYA5pvdxciYwJAM3QGWWCtXSF/nVp+SDlpX1U0SwKpTMhxQmW+lu60DpRy0rW0xme9Dm3C5X87P2/d4vNISOOWRWKMostymQuzFMqkyiVJiyRI5+Fp/gj2wiTB5Nq00k9yLUJxWS1t9WYA+dWaQxY4KXNT1vaNK/llC7EAxXZwayrpufX1Z/q+8y22Qsv4rMm4C6pDGifTZ9PJFrrPs8BKBikXsevULcZbVotI0Kmbc2VvBu7aTP/35XELujIrQtefpDQtx60YtXPy9mnbFHr5XG8g9R2aT+dqFGmhFck6sc49g6cMmFt6tovIYcW1XRpWd0Qdmebq9THTPOPtf3LKwlw6r5wqTiwAxEP1BtIQ8t22pDwse+iA/MPvtn2KqBC0iQTN066ZKwU15SFPS+X4+VlbnEsTjY+kuUd0Gi/JR1HxNFHIT6Korewcn9LdmcYh33NXThogdHppPqUizwtBm/T5lIdavhanTetPkmJDqUNlDo95RdO+mInTyiSqT+T6fBUwowL83Qj4nzVeT3veQlZC94US0J5d0g4eH5EqYNrpdqFi7LnyF1CdmDd0osJjI3vjIkPJr6og4/t8cREl3KCfpqX3d9kxQtJl714pTEloWtrH26i0LTS0SQghfShF7PlwGIt9O4kiDLdexo2YuPoBxd8wFdLSWM43eayC5s5M045erDticm3OExJuqrBiM6ArD2mepPhLAvZJaa581BSOkoKnToxEWoa/12NWRpNPZccF9HiH0gcISWFI3xVcBrE6WZzLiP/mSetQ9V2Zy0gRi2P4lMXX64qCK6Q/+dJcsSilIeRXIbT/aX1LU0prfbzsmqteZy7ddkdPk7j9e0Zh4am6Sh2Z5ur1MVXUAIZhGEa/kaK60rjPTeUNwzCMOYzJNcMwDGO2UEemuXp9zJxXJKoLqkhfvlr/p9xCwX35jmMALe136Nd1aYEVoG0GXLbYiob7EiR9GZK+MPmOI+VpFhmh1xyarx1baksMgFghxnHqcW0ut1asirM6pEFbaVpesKNZB2hawhXcm9oN060ONQvTkK9KvJ9ork3cOiH0HFK7tIVW+PnpPm1BFZeW3J4lN0yX5haKLRqx7mqpuTOHpCl1LGIMQ2UeZB8MXzgBt196LoDiszdPSLsyIZaLyns9iZohBBza8xNq/VvHMrgs5EWBOEXOtTlUFtK0Jsu4/HdpCNuFdkG3/tDkRwhaW6U8ms/7yTzPPi1ddj/Vtvh/x8q/OUMKzM73h8h/oN3/k2SqKf+B5rX4FljRfssU/j7k0BZG8Lk2uzq0Xfx4htFl5AVWmNWaz9KJpqV9qZD27eNpbjXF3ZklayrfYit1lOf8+av7rgeK4wapnTQ/QvE9Qt8bbIGVQj6ar2sprEgvPcY0UkTtlX0pCbuZ3bauC0lXWZSl23BLwJC+Jbkza+mq90xqk5YWXJt9i6EZ1ajzmnnOExpfgcZIasbsaHfGiLjPOoWDupqjNCiW4iKWDY7LVmqUzH61QSE/TxlS26R0yDXT/LI4iGXlaBta8REllybNnXn6XJvzbk5J67zDaCus0niqGSdR+n18ykI36WifoElV5TNHc20CSVeZQGj9JkR5WKaY8LleavWlY4NM7CI5NpubHFaJydZT12c+KA2tY8wOBlF0HabwZ43mhzxvPAapK8NXbdYU90JYAboyevb+Qyw+W2Urpld1Twl95/NwJs3/E0xiuClrACAmqziGKL4kuUY/JKIk7eqUufrw9zU9Tui7gp9XG6dUvWYtXeVDotqWto9tFCfqh8QyfGVrxUFW5H+KGGmrjU7+A8CA+/0k+S8p8lw+hY8dq44FfK7NDqoY6TYm1wxCIS6iUzYl5Efn70Leh0JcljXlX6LUHxf2aeeR8mm7gEKfbwjPwAB//rX5QSiavOHnjkg+/xhBFYaunhQX0eUz6ywX5zIaCZuf55vfXt2Zvru1ECmhJEmUj6/H+1epAovllSkJpfw6ishgpJgUA0KeQOh5aDmqWOym8hUB+WCu6iO0SCT2uK67OdeRaa5eH9PJq8cwDMOYaRJUj7vRiy+WhmEYhtENTK4ZhmEYs4U6Ms3V62NMkYj8F4yyFZyb2wmiWNBUxwkQCy5P0td1oFhOcmWm2vvpdm3WLBK0dBUrhNAVnCtZJCQYjNNskRVujVDmwix90dLcUENclprbroFtl+eIlXcrA0dx2nRvajdSDrAOT36zcW1CXZs0VydqEaG5NlXpQ/Tcbj/vS5p7pWb5pK0qW2bpKJyHW8BLFlDytmxBNS1MIvgjYq6OMTuYB/kDfplrs3sG6D5qwSs9R9w6kT9jUogB/r5m1r/u/cffo0luO1bS5aEEfGjW6TSwO/dgGIxTTGUhNEoWWNPS2u/B84Bq1mT0fU3zNC8EzWpRO65Lh8p/ly7zPNDSVeoAcKFNBuPimK3d3O55J/isDoGJyvIf41OuMbr8T5CX6zwUivuf9xs6lpTeDWUuilT+87q9WLXZ5NqcpRlIpvjj8zBTjtzjrln70fyyhVeqWhemaD9rIe7MvD5ky8NEeyWlAJ+CZnerjnUiD4MgWY35wh5Qy0P6rtDeIexdNUAtGhnUzZn+/nQ7lPyCV3wBrJKblgxUs6Lj6Tp1dgvpkPOIcOvDqhM34WUcouDioVkky8kqFolldaRzJG057EjTCGkkjxldX+i6WKsj01y9Pqbq62bOwF9SMVKk5CXmumMcp5lrylScohknEUA8oA+KuTtT6ARCUyrSFzV/gKQXv7S/DK2NZZMKacBfZQXnqhMJIFtRO4rzykMHFz6dxEWUkGItaIqovACbcA1yhWRFMErytZW+QyejklJRS9PyPng/431GUh7SY4e6V2ppye2STKA0V0tHftARt/6XlYzTDnMRCa5jzA5G4PcE0p41t80VCbzcPFaGx0uUwgpo+a3zaSujF5UxsrJmOlZJl1yb45itHFlVRvF3D9g+hyT7fbERgeJgmst+adAfIv+l9qmKPCGfr9pcRalY9d7SpnhiJPcK3wdGKuc1+e+eiyxWsiRz+fiR52sKAa3/8NsSIv85dSZHZZhcm/P4lEVubO9cYgEU+4w0ZnZpqRyPkehTBPJ8TeEoreBMzukUiFRpOBmgoHFlXFxV+ljmHkfaLt/7XrpXWrzESEhTeVMWFzFl22jHuYzTNAtJFRqGrJskaLu/pgkbrLQL+fuWVE5SitVJ0+3SOR1VHrqKIVopV4YG33Y/sKJQpHJIoqDcU+r7rtlXX0uT7akkQpK0ZTRlWuZzdWSaq9fHhKqRZh2ScNJeWjw+ItCOvRcRC7g0jtqWCrFgqaANuOsEWJfiJVI0xZNL1/nlpfbTdJ2JwLyStHSfCsdy8aryE4fm7vbXrKCgzR08saFWa02VNFMeotl/cnGS6O+UQo6r6fKlRXlCLBJiZdshWSF2o//4rKXKLBJjFC2nRpR9mjKDHc+NFbiFlKSw0PKBooJjWpSMCcwFbC7DrQohbEdCvvAciM9emYJQei97rIFDFjTiC634LA91y8U6ForuwWiPA+iHQwD6Ams+QsYC/H3Nf8OyGMn8fFwJJL2zeV3tve6T/Z0oBUNjJIfQipEMQB0HOOoseCUpufniarwsVXwPk32ufoK0nd+S/wDasZKpnJd+A21cAFST/0DRIpE+92VeCL2Y6JhcMwgxZMMAgMQVl/4vUwTydBpQR8qXyikLr1DrwyTNKw6Tin04SZpiiCoWs0c1EeIpakRCmr6DtfeGi3dI3yOSUpXmk/Zl/ysWiX2DJGurKgJ9daTz+JRqqhKRKw8n2XYVqBCaRFOxqKqs2+2SlIndUCRWTWfb8hgtH5N7GhZZqSPTXL0+phcOCYZhGIZhGIZhGIZhGIZhzDLmrEWig1shtuPkFa0TM1N6RO10HGWutCm3VHArOrqvOtKXY23VRulrMtW4S64tXCsvWSXw85RpuqUeolkk0H1lFok+d+aQ+rl08yJcfMRshc1ItjaMWjYuHG1VOB+SdYxkmZC0eg2H5idRlMVJBIh7U7NgGylfsxjRLFp9lLk20csou0WSUZDUVs0K0cHdK7l1orSP5/M+1zo+t5CSXC3LrBAl66fpcL8EkP8aXKWOMTsYgfw1X3sncOvEACtCMfYhDyvA6yvxEpMIQSujh7g0dxojsdm8ohViwVKdeSBM0rd8iIwCy/dZ+Dmqvrv5WCBmac1yMeS4vKzv2rR0qMyn6dByDDcO4GMAQPJCqP+5v8xSlsdD9Oa35D+AZqxkLud9cREB+bes04c0LwSQ9HSINpNrhkKEFHHaeidLVmKae7PmzkzzJAvFkHRAHc2NmVoham7NiRAXUUOyTizYZPH3hfR+5886zeduyq4cjZfI0w53j4VxS5RQ1+bqcRDrQkMXtV2blRvus07U0qKlXI20+k5skIKaFaLm1kwHDFVQepfUxk4sEqVy0jG0c2X5UdNdHa3fdrqjUtWRaa5eHzPnFYmArjCigV1T4hpL0xNou9FEcZK5ak1pC69o20C1uEhSMFx6LPfA8ckEyDYQ3gNCJj51JwLzPOnS+nl3JhoXiSoMtcmCplTsBMmdiUInEnllVYw0TovuTUDxPrt8KS6SBFVE04m96yea8lBzQe6k/7g20H2aooP+5lL+CNsX0mei/LZfsUGVivm0priYkcVWpqOO0Z/Mg98tqCyMgO8ZoeVcmoYOoK7OAfESndKexiGVYtNIMUnb+/KB0UuDpCPsmdQUTNIHILeYhyrnyxSJPndUl0/zEsjvdq48lPJdWrpN2vhBOo+WLlMqVglTwvOrKBJbi61J8MXWaL6PkH6Tj33oZERaKOPyqBuVJP8BZCFOBricB2T5z9OcMvnv8mmzY2Wf1Ed6ESPR5NqcpflUDLAxvOdZ1RQHkpJQyte2QxQcPK5iCnHhlUbSViD6lId8gRXapSdb+4byRYKUjDHYY6otgkHTfBwAoYybP3DFotsn5TsFY9re517dmoMpfYd3Y85GjQO873m3UAf//aX/tXI0X1MkdaRIbJAdk6yQ60FSxUkhzXuX1lAu8AeKRaRqVRWJoXW0c3uVr02oHKYfsaWxX0fUlU99LtfMtdkwDOO5TFrzr4c88cQTWL9+PUZHR7FgwQKcddZZ2LVrl7fO7t27cd5552HffffFXnvthVNPPRWPPvporsxDDz2Ek046CXvuuScWL16Mt7zlLUhYUKHbb78dRx99NEZGRvDCF74Q1113XW7/HXfcgZNPPhlLly7FwMAAbrrppkJbGo0G3vWud2HJkiXYY489cMIJJ+BnP/tZrXthGIZhVKQP5ZphGIZh1KKuTOtzuWYWiQS6MnMoUZTmzJ+jzFIhhbiCc/NE+gIr2mIrVUyf3Tn4Nki5TqyYtbRkkVBmRRAabD3ACoG7M8XELF5LczTLBR+J5+tFztqAWCTQdJJ9cY1k96ZmQXrQ8t+iLtSSiLs20XSdDzVS2ySrxzIrRMlailqyBC68Iq3UTKnimqxZT00LCapbhNQxr6/A+vXr8cgjj2DTpk2YnJzEmWeeibPPPhs33nijWuf888/HLbfcgi996UuYP38+Nm7ciFNOOQXf+c53AABpmuKkk07C2NgY7rzzTjzyyCN4/etfj6GhIbzvfe8DADzwwAM46aSTcM455+CGG27Abbfdhr/6q7/CkiVLsGbNGgDAM888gyOOOAJveMMbcMopp4ht+cAHPoCPfexjuP7667F8+XK8853vxJo1a3Dfffdh3jxtWboZYhDyYioUmq+5NvueN8lNeR7blsIHsDrO+lda0Eiz8uVWW3yfRNmzSz0KQvJ5KJO0TM6HWOq5bckKUfodtbFA/gLa+TwtPfMhryvtOqT9dWS5z+U56NjFxdacZ4Imy6WF13z5FM3TQFpcrS3nZZd8Sf4DyEKcDEn3OUX4AisxKRdCiPynuNvbC5OEPpRrxsxCrROjlulewQiZWyBVsYBKWdk0IO3qB7gzO8vDJClaIUpGR5ohklv2IkfA1NU9wrnHSro/kodSxNL83UCvn1ohcmtPXqYm3VwYsxZ1+1mVebyWzpDcmWmaNoj3ptDeFWqpKPQu3/0JeR59+7Qy2jkAIMm7racjbW+CaaGOTHP1+hhTJCpQpaJTLjlFUSHdUkLEcZr53w/GaX4FZy0Wopb2uanojc4/QHzyoCkVfccry9cmSZUmAq20tGpzhZWaY8WtqQyqYOwUOnmoXZ+5NwHExQlo/madxM/igwC+rdXRXJuq9iHJ1VKarPrcK7nyQlIyam6bLXdoulKzg7taSubuLj2jykNKn0247r//ftx66634/ve/j2OOOQYA8PGPfxyvetWrcNVVV2Hp0qWFOk899RQ++9nP4sYbb8QrX/lKAMC1116LQw45BN/97nfx8pe/HF//+tdx33334Rvf+Ab2228/HHnkkbj88svx1re+FZdddhmGh4dxzTXXYPny5fjQhz4EADjkkEPw7W9/Gx/5yEcyReK6deuwbt06tf2NRgMf/ehH8Y53vAN//Md/DAD43Oc+h/322w833XQTTjvttK7er46ZB3mVPJ9LM02HKutdmisV+QrqQv3JVhmntC+LQ1onJqmr1w1c8AKg4hCzjiJRSlNX1LJ3PH138w+JNO1TBElt0PJDrkeS8b2IkViBmIznOqWs/0nKRvrBkabz8qb1XJAQJ0BrCseVHIB8H3zu8c2TFuW/OxZXQIPUaV+k//zdos/kmtHHEBfZwpxHUmRByS9TYkjH9SiINHfmSZqP/P+UOt15Mg1T+WSPVsT+dwVcA7SwRwmr57ZpXESaz5WHTBnr5jhRMoVoJGmdxv+urmv04SNNIyStycFUEiFb8VfrC3wf3x+qFAtJ59DcmXkaQlo8YACiCpuR6126ApHLGp+CMPTehtSfSWapItFcmw3DMOYoO3fuzP2Nj493fMwtW7ZgwYIFmRIRAE444QQMDg7irrvuEuts3boVk5OTOOGEE7K8gw8+GAcccAC2bNmSHfewww7Dfvvtl5VZs2YNdu7ciZ/85CdZGXoMV8YdI4QHHngAO3bsyB1n/vz5WLVqVaXjGIZhGIZhGIZhzEbMIrECfPGVLM1WdHTkVnAGc3ty+IJl85Waq3yxkL4uS5aIoT0gxIpCsk6oYoUYapEwrwG+UrODujPx4Lz5dPesEDW4a1OIRUKEtODeBADxPGDAZ9EqXUaMahaLzQbJ/cSXDjEC4v1M60OhVoi8X0gLPnhWeuYrNZe5WvoWV5lx6nytatVZtmxZLvvSSy/FZZdd1lFzduzYgcWLF+fy4jjGwoULsWPHDrXO8PAwFixYkMvfb7/9sjo7duzIKRHdfrfPV2bnzp149tlnscceewS1nx5baktfoa3a7Ch71ngeoD9vfEGVEWWfsMAK0HZrzlv3UutEOe0Liq6t6BxCiHUatU5MozQn59M4ynseULla1SJR80Jw44Ay+U+PFyL7+fk5oe/sTqwL64Y2oecWxgIuxEkVK8Q6lop8BWYKl/l0IRYpnbRGAABIiBNh4bUqC6yEyH9ufUQ9DzQLV05DyOuUDuSa8dzGLbYSs3F7+3lOELXGxgPSby7NiaibLX1vcstEbtVIkerzOmm5OzN1ZZaWwghZWyHI4dTzSnOP8YD0XqXWhpJ1Ik2PCPtonRGSlu55CWULZnYDn5eDp5LfCk4rU9ciMaPMnZmmQ1ycJULdmTWy3lU8vXRtXKZo1x+i+/BZICYDTStTAEkSIU1b48pInvfVGVN6qduF+1yuzSlFolMgFRSBzIW5mY5y6ZgM+IrHdIPXKOdem1vBGTEQtx4qLY6N2wc0O05VJZDvoeNCos4vH6pMdP+HKBJ5OmjV5gR8pWaX5pOHbrozdYv8JFmeSACCe5NPaaghxdWSBgeSuxIdHITESypDqsMVl1QpSOtoSkWuzNAUkUyxUVypmSowdKVFM98Nb2WXTEn5mE93mRTVzeVbjfjFL36B0dHRLHtkRNdIXXzxxbjyyiu9h73//vsrNsToGEkhyPc7pHd1qLKe54949kVAo/Xuoc/a+MgwqoQPaJfJKxirDPRC4yWm5ANTGXEWfiLNfzCMyYNYVZEIVA9ZQY/B5b2Uls5Z5RxSOlSpqMn5OorELN0QxwJl0FhrncRF5GWi3PueKwyjQrl8nbzsGB8BRlqO9Ukyhbh1zwZ4XETf7xki/6UP0CBly86TsHLdogO5ZswxuFJP28fzeJ1E2NaUjzxNyoW4M3MFoqTy6Qolz8QQvz8RScfQ3xt8NWa6DVLO1R8R8gWlUOS5+G4bfpSGJUqicAVfSD8LVYppx8hl+NyZferp6dRKEUVkJ4rUqveW5/eLIq6OTHP1+pg5pUg0DMOYddQRkq06o6OjOUWijwsvvBBnnHGGt8yKFSswNjaGxx57LH+6JMETTzyBsbExsd7Y2BgmJibw5JNP5qwSH3300azO2NgYvve97+XquVWdaRm+0vOjjz6K0dHRIGtEeqxHH30US5YsyR3nyCOPDDqGYRiG0QEdyDXDMAzD6CvMInFuo1krpi1rRaDt9uTIrewIADHRzktWiNwKoaprMz2usxqTNPh1f3WpnmadIP0fYoWoWSTMA+gCK3yl5mba2YbJpvDUOtHn8lxm0ahZFDqrA92FOc61A9AtEgDkVnAGyMIrYPCvFVWtA/hXR821qe7xpfPxdFUrRJ7vWwyCpZsWUm2LYW7hRL9SalaHndB1F41pmnAtWrQIixYtKi23evVqPPnkk9i6dStWrlwJANi8eTOmpqawatUqsc7KlSsxNDSE2267DaeeeioAYNu2bXjooYewevXq7Lh/93d/h8ceeyxznd60aRNGR0dx6KGHZmW+8pWv5I69adOm7BghLF++HGNjY7jtttsyxeHOnTtx11134dxzzw0+zrQhuTbzd7X2/HKLQinfWf26NH/2lFXS24sZFZ81LXxAt+g0FEHZ4mpu5T8AmSyaipO2jKdW2z4LPp87s88q0WdRxs/PLchDn31fHyqzQpTyc7JcqCPllx47ye4/RRoLdOoil++n3VnlMR/+JL+CM4DcwmuOodDHhI//JCTrxBAvBG61OIXuY4pEoy6SFSGUdKilWBpWp5GEuTNzS0TJdqyrsNeke480ktacgsp1R8LyqXVhyspI95yW4ys4e4jT1nswkitwz4EQTwI+HlA9jpIoWzS1lDIrQp91XVk5sLIA8jEkEujuzLx3QcnrNTEKM9aqFolaHSjpfrJA5JgicW5A3Zxomr50Iravnd9ewRlAO3bfPGBy9zBRGA6Vr6xXZzVeSbCVTSB8HVTrHWUTCpcOck1S0vP4Ph4XseWaTtLOrTnK/SbFicRMIbk2RUhyE5SEtJGu4AygHS8RSlwYCToRkAYE0kSUTxLaDcofM2tYwPkpXH7zSaI0oOEKD65UnMe2XZooNujKsRPzhnJxESVXS+5SSdHiuc0ICarHqOrho3DIIYdg7dq12LBhA6655hpMTk5i48aNOO2007IVmx9++GEcf/zx+NznPoeXvexlmD9/Ps466yxccMEFWLhwIUZHR/GmN70Jq1evxstf/nIAwIknnohDDz0Ur3vd6/CBD3wAO3bswDve8Q6cd955mUv2Oeecg0984hO46KKL8IY3vAGbN2/GF7/4Rdxyyy1Z+3bt2oXt27dn2w888ADuvfdeLFy4EAcccAAGBgbw5je/Ge9973vxohe9CMuXL8c73/lOLF26FK9+9at7d+PqErJqs4M/Uz7lYZnL8zy2TUIMSHERgfbzJa3U7Lab/3Plfj5dFj6gV7iYyBH5kJUpFeMUzXjIgOji7NJSLGRA/pAIyO49mvKQfvjhH4HqfkgsUyiWKRXLxgLSh8SC/Ofp9kdFR+6jYhTmslyXfJ9LhXQE3YW5XS5Cyj425j9W0XjJuXiJWsNi6GNHTf7T/bzf0A+M7Ysv9olexUjsI7lmTD+FuIitdJymbRfYMmUNhHJcqUXz+TY9tubyzOIiOnzuzNPm2kwhbSOh5ZtKRa4YdGkqP6R4hxHyKzXTtHYhvt+J0cvYiJSgeHghyqoyZZdvvi7lFw6uKQx9vQtKXq+QvkAN+K/ZpywMUb7CUya33ZKxSZyN3Xh4q55RR6YBfS/XbNVmwzAMo6vccMMNOPjgg3H88cfjVa96FV7xilfg05/+dLZ/cnIS27Ztw29+85ss7yMf+Qj+8A//EKeeeir+4A/+AGNjY/i3f/u3bH8URbj55psRRRFWr16N1772tXj961+P97znPVmZ5cuX45ZbbsGmTZtwxBFH4EMf+hA+85nPYM2aNVmZu+++G0cddRSOOuooAMAFF1yAo446Cu9617uyMhdddBHe9KY34eyzz8ZLX/pS7Nq1C7feeivmzZM0doZhGMZs55ZbbsGqVauwxx57YJ999unPD0uGYRiGMU2YRSIhYpaH7fzm9+SYfHmmlm6uDl3BGUBh4ZWp9g5k35Q7XamRfzGSvibzcmDlfNS1SpQsFUKtEGn+PGd5kIAGVaerMzq41SG3TmyXm55FWLgLNHePbv4fk37VtEig284iAci7N+UCr1PqujXT/hTi2gShfNl5tG3NKoqWk6wQaXmpXImFlLwqbPvkfCU3qTxnRlZ2rtOFe/yFa+HChbjxxhvV/QcddBAajfynuXnz5uHqq6/G1VdfrdY78MADC67LnGOPPRb33HOPdz8/N2dgYADvec97ckrKvmUY4as2ayEE3P9lVohSPrH6bbT2jY8UF1gB2s9OyOrMvXB5DkVbkM21iVrEZyFMkqht5qGFMeH3HMK+sAY28Vkn+iwRy4wSytoXKvNpfpn8r2LFSMxpJO+EbB/5DWl6upGsFZvto/Ilv/Caqwcgt/DKOKayR060TAxdYA0oWifSdwAg9xmpb/TilvaZXPvXf/1XbNiwAe973/vwyle+EkmS4Mc//nHvTjiHiTDVnbG55k6bsDI0X9sOsSZDfoEVnzszt0SUbMd6RtpuIwDEEXmXcHlPkeaX1H3ZleELq7j/aR3WHncMbb0s/t7uxFKRj9/VMUYS+60ryywUNUs6Xx3tXGgg33N81ok+O9fpcG2WBiVCkTLrwjLrTumUXTC4dOO8wW7P5+q+0vrcInHOKxJpjLy8+3I7LlJ70FeMsUMnGbl9EcR4iQAwNW8c2E2GglVXauaDP+nlnrBtPiCs+sv7FEG+dJ3Jg0vPa7szI04xNK85kI7ipLBSc7NKmvs9NaWiL3Zip9CJsR4LMa88zLv2Fd2bW43L+snw7rYgiOcJysRsJ2QFIc93eXSbp/n7VHNz9uFztZQGLtqARlJsuGOT1Zk1xUYaF1d+lV2b5TIObeXYbsVSDKaOuXyfCyajAlKMRIr27qYKQV5OUyryfKasH8/CBwyqMUgnMCI+O2WhBOixuvmM5cNf+I/r5AtVKLqPWurHwlBFIo+JTN/rmsynx9LGAtK7vY7SUtouUx7yPECPkRisSGyv1DwY+FGR04uQJ1xByF2YaTnpAyMdI0xgBMB4XtFIrm+81dNGUG8RyAz+PDcb0v6fy12NXsiTPpJrSZLgb//2b/HBD34QZ511VpbvYvMavSciz0qUpG2FE1UWcldGSgp5fCspK6rUb7k1OxdmGhfR53A6I67NBOranMTtR32Ayo6Ipek7gq/aLCkWaz6PkbuZM/BdHkAuBnJlNOWXr59paQDtl6DbQZWHob0LSl6v0L5ADeQ3NeWfpHR1//uUs1J+4d62ZG/SjnWdjkyTKqyOTAP6fr425xWJHDqoczhlYc7ysHXrqOLK7cuOJcVLbDE1b7yZ2M2GgiFxkfiEQBr4+bTzdd8jUm8pUyKGTDKktFMiChOGOE4x7JSKUVFxqC2qQtGUip1+5aLn4bEQHZLy0LWbL7jSNDdq/dvKpvGSgBJlogZXKtLBQsr2uXT7wuq9OXz9x2cp5fZL/SRStqErNprWiHosRElJQb9YSjERZ8QS0dFHEy5jBpCUNlIZh88COER5yJ41TVk/HjUfvhQRxlvvsWKMRF1ZH7rQkVQuFKoU1MvkPzZSz4M0ibKPWrmPhXECJC2rREkGanERKZJlGYe/ozUlUN13Nj2PtF0m/2k6RP7zeInieRKy2Fqa8/ygHxWBttwNURZWkf3ygmr5c+gLr6W5Ps+tEml999yMYCJ7nkYwnpURrRPpGFD7eKh5HfA6IPuk/iOND7pFB3Jt586dueyRkZEsjm4dfvCDH+Dhhx/G4OAgjjrqKOzYsQNHHnkkPvjBD+IlL3lJ7eMafqjysBbavIm/U7kiUrJCBCtPjpukRHlIlIr0tJrNmLZdlyGlyYUyLF5iNl3V3hs0zeMg0m1unajNYbkCWKDOoipVkGS/qkSUrqVsfu5THtKyWv0cTnEoHaCsd/GydQnuXWQ7ZvtIcyR9o+8+83JQ6tSAxyfuCbNUkWgxEg3DMJ7LJGiPMUL/6uvLDcMwDKO3dCDXli1bhvnz52d/V1xxRUdN+a//+i8AwGWXXYZ3vOMduPnmm7HPPvvg2GOPxRNPPNHRsQ3DMIw5QB2Z9hyYr81Zi0TZnbm4OrMrQ92eaH2AWSHSr8skXuLIvAmMC9YHU/PG4VYRwu6hYgGK5MLErRD51yPNwrgTfFYINF1moSCm8zERneXB8Lxx0Z05QlKwQOQuze19coykTr96ZW5urE/lrRDbbk5u27WFu/lJ8Tpov6LxkrKVHF3MRO1rIndLoH2B7gPyLy36caaOO7ME/+DD+4lmneiznCLbdHVmaiHl4k0610p6v/NWUbJ1YvF3Er5msryqFlKGUZkRFFdt9j1jNE+zTvRZA7NnjcYedVa/41HbfVmyQNRiIWpWwhTJIpjT6VdlyQqxmU6z8QDQ9DpwFgzqCs5QVnAG9BjJEiHyn6Yh5EPY7zuXlleWriP/JZdncWxAvT4Sks57h9BYyM3tcOtEH/T3L+5zfbYYE5nuo+XptuSp4Oo7xqORglUiAERRzt5Dh1sn8jGCNE7kjxMfC/SZxcQvfvELjI6OZtuaNeLFF1+MK6+80nus+++/H1NTzXv89re/HaeeeioA4Nprr8X++++PL33pS3jjG9/YpZYbgAs5oJvuRMlUc6wL5Puws3LTrJMkl1vNMtFt+yzqQFZrdv+zuIhlzqfSttQ0jnv0qtiXufcDrROj2faWx6e+gjNvGJ8zSCs6VzECbtUZYBfdyzj2FHFMkQyUy0oJzWpO2+fLL+yYZP+7fb7excuLJyLU6V28Lj/PEJrmeAPtbJ8VotRMn3WnlC9ajjbPP+VxX3dyOEieGr23SLzjjjtw8sknY+nSpRgYGMBNN92U2z8wMCD+ffCDH8zKHHTQQYX973//+7vWxpgMOKNsyEcHoLIySqoT5f6S5l/UDAI+Mm8CI/MmEMVJK7ZSS1Hm/uZNNl165zWag2r+RwfXUr5Uh5bx7ZP+fMeTjiu1K+Q82Z9zZ24rEYfnjWdKxIj+te5tzO43387FVWnV4b8l/53b2+USpBi0V5r0thVQfAKd5HpMXNjmPcrlj48MNxcxiAeRxk1ddBK13Aypco1vR2grHuhv5OKsRSTNf78R5S9S/rTyZcfV+rjU/ladxrzmn1NsOCViGkeZEnECIzklonZvi8qNtkJDMn/31ZkW0pp/Ri36TqaFPGPumQotR59f9owWn7XB7Fkbj0YyJaL7G8dw9ky0n738Nn8e6TaAXHlKSo7FKYaJaKO5zIXJhbwrrZNJVEY15bqTZQ2/3AuRs5r85PJfS/vGD6FjjSrn7Nb1CWODwVi+51FUHLP5tkN/f4fWn0L7pizzef+P2Tigud18hsgz5Z6zOCLPX/OZdM9n7jnnMl6TsaGyWHrndJsO5Nro6GjuT1MkXnjhhbj//vu9fytWrMCSJUsA5GMijoyMYMWKFXjooYd6cPHTT9/JNQaVFpVIhD+g6FrrUz46hSJNkzqTSfsPkA2JJkkVnxIxYeV8Rkq02WXn5GWydJpvf4Nfv9QwSRErjSt5HfrHL4AQJVOIkqniDrcf+jyc4xvPa0wlkaxokvqS1r94HbB9vjoZboEV8ZcjaXpAqXfxMlV7F+DvXb5zTrJtzz3wKVd96dL7KJMkEZIkQprKfaHTD9LCAWflfK3ns91nnnkGRxxxBN7whjfglFNOKex/5JFHcttf/epXcdZZZ2Vf/Rzvec97sGHDhmx777337k2DDcMwnkskqP5JSB+jGSWYTDMMw+gx0yDXFi1ahEWLFpWWW7lyJUZGRrBt2za84hWvAABMTk7iwQcfxIEHHlixkf2JyTXDMIweUkemAX0/X+u5InHdunVYt26dun9sbCy3/eUvfxnHHXccVqxYkcvfe++9C2V7jeTa1MyXXZy5y4tzPx1vFmzna27Oua0YBZcoSSPP82MhDeiael6Oo+2LA9PSPpof51dmpkHUC6szOzfnaFz8CsVXbZasSnmauznz7SrQ1Zj5Nu0bzXSalWm3y301K7ZhHNSdmeSPoGmV0YqcnCZTiJx3XUzcBLhrc0zyU7YPSlr6OEPrSmgfdHgdqZ9obpcsv9GyyARQ6s4MILP2mEB7MQi+eiwtx8u436xv3JZNkTit9J1MG4ZsESQ9lyHPmftfWHRBetbGR9xCKrH6vLj8tnWiHErAUbYIi2wZpn1VDhvm0EXU3LarT63a867OcX61YOJqOxXT93jruPMGwl2Z9YaWy3xJ/ncy2gt5X9O0NA4Q5b8nPQ/goU6A9tignZbluRbmJH8ZYfKey/Z2fn6BNdpn+aIq0rGoy3OzzcSFGXmZn0jjgmgEUdS8F82yZBE2sAVYpJAnCYrPuTYGaDeySCfx+zX6SK6Njo7inHPOwaWXXoply5bhwAMPzCzx/uzP/qw3J51m+k6uofgMi0gWSpILM6+j1efuzFI9ctwkRdM1uJXnW/ZCOlTZQivSozWk5HPoa5iXj0l+DLRds2NgqGze4LaB/CrNLp/uCyHAkqyXLs5BlmdVrN00C0Rfnnh8ySqQphMhH5j+3kXPqR3fXQtbcIWjWRzy8r4HK6Q+Q5LVXccUib3n0UcfxS233ILrr7++sO/9738/Lr/8chxwwAH4y7/8S5x//vmIY7n54+PjGB9vx5DhK7hFSLPOQgd7dAVHXgaAWEdTMFKyMkyZCABpkiJxS5AncRZjaSpJmzM2F7gi8SgVfQNAqnCEsD+0B/gmElKepETMbRcnCINkUuCUiBGdPJAVGfPu5glJ5xWGdAIoxUty5bqJ1oe0CQOPrai9yKSJROsAjPxkAmhNKLjy0OXRFy3f1z45b0yxjI8yhbSkzPDsdyvFJpGuPNQVGxF8ygwpVmVeyREVth2SQpKnu84k+mbCZeTplkwDPHLNuRxq8EP6nrVA5WEzHbVWQM+7bgJthSHPl8MAyM+ow7diejG0RPUhTfujTpTLk8YFTWUjkyPu3pAVnAFk8SILHwjjAVTGJ/Olj4o+JWLohKgbMl/7PyitfWRMxJWaqdKhGJ5Gl/d15D+NcexwykO3n8ZJ5MpDXU7k20K32x++kuofFdMApaJLu338I6FP5ld0KQuiz+TaBz/4QcRxjNe97nV49tlnsWrVKmzevBn77LNP707ap/R6rqYFh4nT1vNdxY1Rcl8GSWtuurwOO59zAaYuzUBY5DotzetraOofoZkqtNxQ2oqNiOa1uBWcB+j7YYRVjkhaUx6Guo8reZXd2LtAwl2aqyispPKhSq3ctosPKvWmhG2XpR2Ke3GBbnwVotE4aZoKeTIO0u4lhHQlRaxAVidCmsjvpZ6Fpqoj04C+n6/1lSLx+uuvx957710wq/+bv/kbHH300Vi4cCHuvPNOXHLJJXjkkUfw4Q9/WDzOFVdcgXe/+93T0WTDMIyZZQrwxCWXqVreqEW3ZBpgcs0wjDlEn8m1oaEhXHXVVbjqqqt6d5LnCDZXMwzDqEgdmYaadaaRvlIk/tM//RPWr1+PefPy5hUXXHBBlj788MMxPDyMN77xjbjiiivEIMqXXHJJrs7OnTuxbNky9bzU4pBaJ+TdVHX35nYZ+cv2MPm3VTmIKSCz1itYJ2pWiPyrsfblp84vH+oqR9PZ/+RJUKwQgbZrGA2iDujuzNKqzVrwXWqtwPPcsXz7KT4rVtqH5NXBE2gWN9K2w2uRQPqUs4SJkhRp0l7RMbvNMfIr3lH3BZfH07TPlrkza0j9XrJ6USymuBVi1hyyWqxmIZV3U44xgWFIrpfU4qlYP28J5bNYNAygezIN8Mi1kMUOtPe051nTrBAd7lmbaMk2/ozRZ2qchBGQttv1JcvgfBmX56ji5lyGFH5CeqeLHglx/pwpkWu5D8rz4raHAXdzliwN+df2WNh25XwWZFWtyPnxQ7a53HdpzfKQ13GPSba4SnGcUPBUaF1Y2QrNkqyvg+bOLI8FNGt12TvBPRduVWa+3S7XviZ33cPNjPY54qiadaLbbjc4n/Y9Ur1wbTb6lpmYq3kth6u6MvJ3qmSVyLeZy7NzZXYuwSFr5mppKHVCiFH98aPOq65+ZvytyQfuueR+Tv6zJEJe2fF4fr/gsy4MqeezOgzppwCKPaRO76Lpur0r1OWZl6M9jV40c3H29QXNClFCGjuVXHKaRKJ8s7lcGH2jSPzP//xPbNu2DV/4whdKy65atQpJkuDBBx/Ei1/84sL+kZERdTIWCnVtctuOhA0k22X03jqM9oCRx0zM6scp0pZ0Slpmt5mrMyArFWO0JyV8gqEpDOu+qMsUiXybuiYBuUmBg8Y7klyZ6SRBcmfO5ye5bZfnytE8LX5iN6CTifyEoe3mRPP4y0pzkafwiUQWX5Hcs1ybYrSVimRSkMVRpJNNbWIBUqYO2tumRHEIyMrD5v9F98qsDFNG8JiI5QpH2YWZ/14zLmwS5LwEgujzL1yzgW7KNMAj19yHAJ809yjxqYLeQZWHzW1dUc9DBtB9QFMZwt2XpWeMr3wboqj3uTl3Cxo7kX8souelqwYD+XiJjkLQiXkDYe45oa7NUMrw/XXQlNE0r2PX5nzIEx4zuZ1u5bOVmkNjIXcL7s7MYyJLYwHn9OyQPkDzvjyOkYIyschwszXE1Zvi5CdVKgJtxUE2DpA+Hvr6TpmSsS4m1/qS6ZyruZWaC/nUZbbs0aaKQKmsT0nBy7e2+crGSaqrd2iez51ZevX71DaaKzNRz4jfm6R2DSGvGHXTyyH6bPN3QGhcxBBlGdsX0WljD97p4nyBrtyrrdis4ZPd/PqDlKfaoIBua/EO+cHK8iV8vUurR12YpfJDyPfOBsQXvHTJUppuBygLC+WYW7MU0qrr1JFpQN/Ltb5RJH72s5/FypUrccQRR5SWvffeezE4OIjFixdPQ8sMwzD6GJtw9SUm0wzDMGpicq0vMblmGIZRA1Mk1mPXrl3Yvn17tv3AAw/g3nvvxcKFC3HAAQcAaJqzf+lLX8KHPvShQv0tW7bgrrvuwnHHHYe9994bW7Zswfnnn4/Xvva1HQU5pqsu8rxmftHqUHJn8uVrjGAi+wqdRBHSqPV1JM1/BYljeSEWxGlzMRYH/XpCtewJ67G9sEwAim7LWbrdxjIX5nZ+29JAc1PW8tth/GUXZtmKtPPA6w7qytzeLrpAuWvgee1ynVlPZBY+UZqt6Binac7lOWpZJ6YxROsEgFkqArKlQh1Y/+GWhw7JArGZzi+o0vxfXrDB56Ys18lbQUn5vL7L4+Wk7Z4wCZtwTSN9J9Ooa3NJd5OeNc3St11Of45cXvN/7uZc9dnTLYOz9rWOGbKokVaGL5bGrQ15meZ2+33tC3niqvCFVyiFxVe0h1eyOnT5iZCGkl/HqtzXjzTLRF/aZ62YpYuLq/DF1xx0gRXJpbk9PiheaIjVIl+AR+sbvgX6uIWig1sbSpa0ktxwbs70modZmYT0x5x1YpRkC1VQl+comcqe/8z1mY8BmjdHxlksFdd+6RyTa9NKP8m1QXFkjKzfeglxGU0hvzeltHIst8DKZKIvlsItDyXK1tWVLoG7Mw8p5TTrRLrPLYFBy7priyNggC+y4hpA8/gCK4myz2dB1huj8c7RLAg1Kzhf/9P6Vo4G5F7DF0vhNq68rPu/G72Llh2CjFTH9S6a5i4K0O9ZaB7Y/hArWKCtU+H5PfJuqSXTgL6Xaz2f5d5999047rjjsm0XD+P000/HddddBwD4/Oc/j0ajgde85jWF+iMjI/j85z+Pyy67DOPj41i+fDnOP//8XFyNTuDx6tr5Ugyc4psuRdyR8omdNBsgp3GU6+RcqegG2GkSZQq7KZJGEhV/XWWFospwly1hwkRdkpr/t+uUKQ8BOhEoc2du5ztloaRwdNu8Ps/PXVbA70onC267fdyi23I7X/8tqrroNSfm7XvAJ7pA3uU5idqT3ChJm8pEoljM2sma4VlQthLSu9unNGzXk5V9VBnh8lw5TVkoKTfo8drHkvPz55F/L+137LpyMYVNuKaRfpNpjRGgwVZtVsZHueesuS0r6AG972urn0vPmJQ/gWH12StX6MvhBnidutAPjKL7ciuPb3N4vEROUZkIACz2saY8pB94QtIgefyUIWhuzKFpn2szUHBnBtofHtWwJ8pYwCG5OffC1VlyZ3ZpIC8DpNAm0jYATGC4oCSUabozu+MX3JmzfXmXZ/ec51Z5jvOKRaA4BnDQeMsA0OiFItHk2rTSb3LNIT3fAPLvQ5+bc5n7I81LhTxarpWfpMhiI2YuwaRYSBQ7rgKqEsGOv8rp2rgh9XmMRNrmOGFjfXpP6PvAnWgE+d+gCiV14jTNztntEFT5ZpBxhG+eHHJztTp1lGLensLzfL0LSp6vwRxNXS2Vk9ro6tOLVpSSIUp+uq0qZYVTCuXSJEI6Uvzdp7qtUKwj04C+l2s9VyQee+yxaDT8d+Hss8/G2WefLe47+uij8d3vfrcXTcuQJgzafgf9It3pubP4duSLtlMqOkVKmkREeUjam8gvQK5pzykZu8CgcCzN4lDeX1QeAnkFoqY8dPub/xetE8smGfn6kpVitd9Um1RyKxgpX0KbEKekn2j3hZbTlIoR0swKNrNYpL8NmVi086YKSohOoAqM5nZRYdhsc16hwNOSVZSk4JOUhfpiK8VJoFa+cF2CwpHT6TtDpM8FzWyi32Ta+Ejzj8OfsWYes4byPGs+5aFL0/99VogTbHEV6Vkqs2KkbSmLjVjli3LIglheK0SCFi9RQ419TEeb3OpQs0jUrBClvDp0olAsbBeVhwAKMRHj3HZ7zOAo+3Ao/U78/Vv1fdwcsclK5uKHRLot90ktf4IoCVEaH7HYtrT1pNB97nxZmSjOxgAACla0kgWYNBaQ3j9dweTatNFvcg3QlUcDnQ6huOJLUkpK2wqSrRiEPJ+dmM9urAqauoc+stROjKtzckrSuBUnEShaFo4Iabrf/a/dW0qqpAMJUTLWsjLzKbFoXoCyKuh44sG0A2gxErXeJPXKMnhv8ikTy2IkcrtXhqZo5fezVPkaCPfYbNEza0THLJRpxZmGYRiGYRiGYRiGYRiGYRgGYxoCeD230CwNuJa6jpl1+8t581s1ULSmaH9Nbq0O2fpanEZxFkOxubpzMU2/JifMItFrrl0DaUXKwtdszRqxxAoxKydYG/rz0+A64jUJ1n1V8FmpVvnK4eKM0X6iWVcUzy3HZaTWiXmrhShnoQggZ6Hg0OJ91SVhPlOSFabmwkjjp7m6mrWizz1T2lfH8pBbSBnGdDIxL8bEvOLXVf6MOUJWQ+bWuL5V0cusCKXnS94nWwbT82rhBbTtTtCsyDUZUbBU9DTFyU8a+7jg7pyZjAxkWc3tgLTbBvyjPP6qD3mN8TLBVolCLGVlZWZAcGcOiIvo80Dopmsclas0T+8zcgidZrnydk1gRBwL+MYImnViwvoptYhMo/x9ld4h0lhgYqKBzk1EDKOJ5NcRIclC8BTgVm/U1bnMUkx6/CRrxbS9WvNkQmIkssNOV4xEWl6yG+NoRu3OZiwm2yLc8pBbKiZKOYkOX8Xd8OqpGkJKOEBYGZ9RYRCT7P8q7srd6l20bN0YiQnbpq4KA2HWmiGuzVJaOd5Ua+xV0Jf02ipxlmGz30A6GYQ2h3qp+uKKyQCPBn6PiDiNkebd0Ijih7qrUQUj3fYpgvhDlLUrQHkU+ZSHUXGwDxSDmmvxCosxjuQJQ+hvI9UpU9DVoUypVCYEq7zE0lbv4ou8NM9DJxLtOIrNfe1r5r+HNGmm/Y2jXU+Ics2nCNAXVPC7YEqKEp+CMEQBwvM7wZSORjeZiEYwHumBV8qUbWXPmaQ8dPtD9knPkfRc0nPxY9G2agp+n9I/BF+IE1/YCq0M2ZHfJB//CmTxjlNkgS5jNH3MqEIxxJ3ZFyMxO5/cjNIyldycySIqQE55CADSgioR/5/FT/aFJmnmJ2LYj/Z+f31OczQmfyCUZC8/j/bOjzzjwqrwsYCmVNQWiIkLsl+5FmEsMBGZItHoDer4vBMXR81d0pcOOKRDc3Omap+QyHch56oSIzEWyjh1Dm1H9p0nAdz0cmAEbQUgVxbWmULxOnkRkdHND0De5qiLlgqF6/Y5vp3Lcx/aaE+RFIGaQtHXu6DklTXU9S6gXoxErrIOoMyNuZvPPSFb7JZ2A1MoBmGuzYZhGIZhGIZhGIZhGIZhlDKnTGMiTE3b143m+druo8V9LdcmZl1BrRP5MWialqOuqPxrMQ+uz6GLuIjXUGKVyIPK86/23NqNp8ssFctcoKUy0r5uWx12Qjcs0qgVAT92tjoz6SfU0pAGgecuV/z5KLtv3IKRU2YNxL/4FK2nwtwwy6wQ6bFS0rt4O0JXofXtK8uPAgPnh8NDfYfWMWYDExjGhGcpOH318KLFX5mrc6gVYv741VdM94UloMf2hRXo5D0rLVJFqTyOcB+7o7T95ZsXiZN8CJLMOpFYJgJNawnq9hzizixZKFZBq1twcxbclwGvFWJWRHFlBqqHOZHodCzg+pMkc4vn0sd++br1LB7az1ZxjKPto54KvJ3N8kkuj783fPdtAg0Az9S6Fh2Ta3OdQoiCMmsk7sroXJ1B/pfq8LSSl63QTNLaQitAeG+sU59aIHK7MQ3NNiwpqQdAv3+SZSFxB/fe/+eaEXNZv5PSIfVrnzzkgN3oXa58iFWhtpSPy6fHVnpkVQvhMtdmtU64Z0t3qCPTXL3eMj4+jlWrVuGHP/wh7rnnHhx55JHBdeeUIrFbdKqMLLqPFpWK3B26qfBpuz236+YnbnSwx5WMlOxYgatL+txx5ZURddehYowjXcEoxTX0uSaHTDL8btJ6HcdMmztTpTIQrjDkE41mPldY01Um9bhO2mTD12Z9H1N+K8oMB1cOaooNemzJldmnZHTn6ZY7M6X7rs0+aemrY8wGxjGE4RLngrIYpHxbU87TtFQmNJSApmyn7Q05lnZNZe+lUEUPLdsJuQ+EgqszkHetkpSKbYUic3t2UAUjgNyqhN185cRs2UEhXrK2EnPzf1l5mCsT5WUxwEOT6PKb5ld1YQ4pR/uWVr6sX0my2HccrhSUzus+IkpK8DR3H/NjAf4saGM2X1vHocSu6wiTa3OV5hs//56JU4+Lc+jPTl1zpXy+r8Krv0xdQ51UeRrCduj5nMNpzPIlpHV1uRJxEsAQUZiqcRH5PaP7NELcUj37uhEbMX+qEvlf1s6Q5vBrLlWM0QNLMQ2lfWW9C0qehlQmVvKlclRBSN2cAwh1Y67y3Jf0O76GhOsXw4GHD6eOTHP1estFF12EpUuX4oc//GHluubabBiGYRiGYRiGYRiGYRhzgK9+9av4+te/jquuuqpWfbNIVPB9meYWYVp9PfB2pJaj1oluwZX2eYtWcflA3/mfkwfLzl9DNSsLv8uQ/AWbUmaByOvIi60Uy1ZZlKVf6NSdKe+OpFsncmsDbpXgygOaVanezqr3s4r7s/SVMMQ6ipeVrBDpOeosJkHL1LVW7PZXVXMBm9tMYgQTpRaJch+VnhtevsxSUbIoLHNZlq0QI/HZ59cRYtEYSv5dGj4c6jhUhuLqTK0T3cIjSRIhTeK85SKx4stZKjqSSB/dJYHXKVkaZvuK1z/I8vKWhklu8TbNCjHLQ3GxlHJPg3oLp0leD6GU9TntXS/LuCiTuc4Csex6qIznXgU+y0NpLAAUF1xpl/Ff52RPLBJNrhnKc0ldZusiWSlpFotorticrdSc5C0JNYfRKgZTUs/11ecOpwnLl9Bsw/haurk2tO7JELVO5FZjZas0l6FcaJSkBQv+3P4uzkOyMtpCaN0YtnutEbUT8FWbpX2hJw3tnXzlZinfdz5t1Wba0+mqzTFAw/P4XJs7/R0U68Tsdyc/f/e9xzpzbd65c2cud2RkBCMjnT18jz76KDZs2ICbbroJe+65Z61jmCKR4F99L9/rfG4gEs01c4suMZpS0ZXnikVXhyuTXB0Hrcuhx6pCmQKED3oL8U08g1e5jK489JXRYiZpE5Fe4XMLrjrppbEP6bEltyQ6kZBWZCwqr9t1XD1AN/vXJhtl+JQEdVwvpbplykNaPkQBIh1LmwRq+3qPuYDNZcYxhKHAflcljIC0anK3lPOS2zI9lxZioJdUUfDLypZwWSK5OvviJ8ZxiqQ10KWuwVTB2NwWlIogykZhXwhcSejgMZQjQfnIV2KmaS0OYnO7/OOhds+jrAeVKx97SUi/9X3Mk4/ZVgTyMQG9Nk1h6FudmX9gLhsLOMZ7Mo4yuTbXKRgklHWzBPluo6Wleg7ushvYtTV1jbaWrm8N3Soes1VWbaZlJFVP8ElHWJpClbyh9/y5hu9H430upG4wmiIwpHeFrtpMy0jBlsvo8arNUtk6zzwgflTt7RyuM9fmZcuW5XIvvfRSXHbZZbVb02g0cMYZZ+Ccc87BMcccgwcffLDWcUyRaBiG8ZxG+55dVscwDMMw+hGTa4ZhGMZsoY5Mc/WAX/ziFxgdHc1yNWvEiy++GFdeeaX3iPfffz++/vWv4+mnn8Yll1xSo01t5rwiUVtEg3/p1iz8QtycOT7rRJ7WrA3b55etC7vp1szbWWW/Znko1dGsB3ldzZXZlZOsFbjLs9SGblgnaH2o6HZetEgNRbJO9PUhfv4yV6YyN6a6/aeKe7NDszzk9XyumLwur1O2eIv7XytXtJzs/gItfswFbC5Txb1X2l/VvZk/NyFWiDTfZ20oPW/SwiuS5aJ2zm7iD3lSz9K/zDoxilOkSSRaHlJ34SSJCtaKWbtrWCFqcKvDWDh20VKRyOISK0SalsYPoZaKvfI2mA7rWOmc0viFWyf6F15ru007NK+F9v4y1203vtBXja+PybW5SoypwlMWJcrzXMfNWatTYgGVtPKTVHc41SwTfUzXqs20DLcZo5ee7UvaES6GyhZRKZs+dbi/l9bjXiu0KgZ8vn2lx6E9SnKcT1g5ni47Lm/EdK/azPdRh3yG5tpMt6t0h5I63J29dzK+M9fm0dHRnCJR48ILL8QZZ5zhLbNixQps3rwZW7ZsKSgkjznmGKxfvx7XX399UOvmvCKRQ12J23lkoI/qLzS64jKHKhX5ysyaC3M+r6jw1NoorfpchyorOMvKxW64POvlfArJYn6+LdqKiD7ybkJF92N+Hq5s9E3+y9ye3AQj1IWZt0tyZfK5NPP6daji4iydqxsuz75yPqWJK6+5gc4M5gI2l5nEMCYq9Meqq6SXPS9SubJnqiwOqS/GYijaR4BQJDlQR4YW38P+8QDQ+nAZtcciVPmWppGy0nNe0Sgp+LqFppjUFIZAuGynZaUQJKEKRn6cOuMeqd+EHqcbMkEe8+lKRR7axEGvv4pbc+hYYLLDMaWMyTVDed7qeghKBCq4ND0m4Fcm0jKJkuZ1qqiH+KrN2vk1dQ5X9Wg0EmDA6Ru4+3domDZNKcQYmOnHOFE+jAS2Xz+uVreBMHy9ROpd2v4yeO8Cyldtlnqg1uuktgX0wm70C0WpmI2lSF9Ou74ecWeuzaEsWrQIixYtKi33sY99DO9973uz7V/+8pdYs2YNvvCFL2DVqlXB5zNFomEYhmEYhmEYhmEYhmHMYg444IDc9l577QUAeMELXoD9998/+DhzVpEofZ3l1oEObhnoW8jEf05iYUDOT9M5i4RcG2L2VVr6Uu13s67rkipR1c1ZsxSgSFYKvVqgpawtnSBZEXbDzdVndUhdmKUA6cUA6/n+X+ZqzRdk6YQ67pdlFoChK86GlC+rU+YaXX4t3X7tWiypucw4RhAHPDNafqfuzqFWiFJZ7XkrCx1A93UzhIBmUc4twiX5C1T3WpC8EHi6EAolInWYpWJWRrAYVFejLGtjiWUjtzwEhEUSSiwQeR1uiegr5wtlooVT6abM12Wm3JdCoW7K9Bg+60Q+npTGBa4sb1dxXBQ+FujdYism1+YizWe0UeiTpZZqKfkDip6hWn3NUqxCd9J6alXP2BDrRr6mLrf7kmy7uD2YZDM2bXThMe3Es64rY4YZe9Vo9q4SPL+T3sXtXrV28R6lrRUeQJkbs/Rshz7zgGh5KnmcdY86Ms3V61/mrCKRoiny6P4yJV0VytyZeZtcHYcer1H/ObvZfto+fxl9MqEdR5sw8Pq+2Ip1XKik9oVcY9H9XFbkFSeJ3Xn03GSj3J05HyPRp2SU6Ha8qRB37mKd7qzszMtVcXvWzyuXmx7MBWwuM4EhDJW8+yVClfF8OySmKE2XlQ9RRGqrPvPrKXuv+vZzhZ1Dck2m7exVLD5JIeS2pZjJzhWaIykd67XH/84ok59ymBO/rC6T01VDmZS1mcKVb3yfdAztWdNkrHYO6eO1plRsK9XTnGz3jQuk1Zz5B1DeXt/HxomeyBOTa0abKJmSd0xjN5ls1aPOo/xQVSPY+cr69Cfaerp1VT2uXkzSQ/z1yF2agaJbM1fkhOAp1yv5yin90FblWnzXX3ocqmyaZOk6jQrRnvN8rkwEwlXOVPkoqa8TYd8egcdmh6paVqkzpfz23Z/LTY9rc10OOuggNBqhbvZt5qQisSwuXbtc3oKwzFpAG7y2Y9f4483UsUKk+dKguG5cx1B8A3FNAFS1TuR1tDQ/Vt0Yi3WRYhSVL6ojKx6L5eS07xhlVojt+r7fUG5btyhTfofk+xQiUh3N0okfK9QSK4R8P+j2s2hB6ecyExhGXFOBVkcRX6Y4lOqGKOurlpHKadflQ44dF+6RoMll+VxJTq7z97r8ITMfU1H7WETxWVN2g+oeCd2xUPSXL8r1TpSMGlJ/kI5V1woRKCrzNKVicVzgVxa6Y/s+PErvCl+8RACY6HosKcDkmhGzZzpHp8Mon5JHeCVMes7nUybSMpNKOqRpWhkXuY5bJTo068RQtZBbYMYbB5FagRYO0KX8maBKG0Os5mqdTMNnAyvt8/U4rS2aulpC6oFciaj1OtYjfVbBvXjuASQtZWKaRujRdBedLrbSr8xJRaJhGMbswSw3DMMwjNmEyTXDMAxjttDfFol1mfOKxDqWhp2cCyh+RZba4trg8Lkza1/Ue+l2RfGdQ7t3mpVEmDtUp+7PYe5U2vmBvOUA7z8h1oadornAc0tFh2ZR4HNrDrXc7ZRuuTlLx/K5I8uWTNViLYbW6S114m70t2AywmlaJPrtC+q4N0t1Q1yXQ8pK5apYNGpuolq7O0GSy72w9JdCmwCyK3NZaJMyud/NUBahMr5MlvNjhVohltXVzl0VTcZqsRA1l/jQsYDfnbno9eCPkZgfl/A2OfRxmb/NvbFINLk2V3ExEgtUdZkNoeTV0Ag8l1asyhq5ZceRpDx3RNUcU6HU962lmztPSuonCF+pmdaZrXSsGwo9QFUrxFBzvpDeVWbHqsVC1BzqOe55V1bMpofqBh6dXu/mbnVkmqvXv8x5RSKgK/i0wbtPeeeLI+Mrz8/Pj1HFnZm2eTopc6EKdXXW8jtxgeb1e+HuJeEb8FdFW8QlpM/o+bIbEz1frwmJF+m7Xz7lIaVKTDgpr07MRcPoNeMYRhToqBQSZ5TnhT4HoW7OWlnfcX3HLnuOq7zHpDAjUoiRkHKh55PCHoS6Moe4MMtxH6sPTENkZr+FMwlVNJYRotSjx+22DPC7M+c/XGrjDOkelrk1h44Fxn2Tv1nC//t//w9vectb8J3vfAcTExM4/PDDcfnll+O4446b6abNCZQQsHkS5BUE1OXW98jTfYmSH4jPK7MqvqUytCUtQlU9HSyBkWd6plI5ujF/6/6ihwF0RR9UNQpnnYVYOlmCh7ow+9yZAw9F//eVS0rS3vphc0ZDphefEQ3DMIxpI6n5ZxiGYRj9SH/JtT/8wz9EkiTYvHkztm7diiOOOAJ/+Id/iB07dvTsnIZhGMZsoa5M6+/52py1SCxzLQ51ZwqxQvAdK1+uGFSdUhZgPbRMLwkLON+5K3S3LB9CXKlDcdYB8gInYQuiSMfk7eLuVPx4vG6xLfr5psudWSPk3N1wha5rxVh2rBD36e5jQennMlOIRUs/jZC+X8Xlucz6kJfppLxkvVhWx0doaJO2ZXmYfCjzWpBlhD5G4GMOXre9TxpX9G4c0CtZXiaXq7tAVyvvQ7MIBIohT6p4qEhWh6HuzO0yuguzNk5olyne81AX+CnJDbVj+keu/e///i9+9rOf4bOf/SwOP/xwAMD73/9+fPKTn8SPf/xjjI2N9eS8c50IKeI04LkMnWd3OB9PWk0pW0u3jLrr7/aSICMut6OqWzOvH0iUTNU/V020FXxFevajVTWp6yXu/HwMGOoUr9WJ0ZnlI7r63KdJawydROjdtM0WW5kTaANE7upc57h13JOqrPZax7WqV4S6TtVZ9dm3LzzmT/XJi4Tk8iT9tpLbUCeEuiprCkdOr1yy6lBF+daNVZ9956wTi7GM7rtU1BlszPTgxOgWE4Jrcy+U7TyvSqiAbigPad3pjkvK3ZelDzydn6P3Y4ReUkeW1/0g6PsYSPN6dT+0D87TgeTODMihT0JcmDX35ZDf0x13oieuzfXl2s6dO3O5IyMjGBmpr5HYd9998eIXvxif+9zncPTRR2NkZAT/8A//gMWLF2PlypW1j2vIDCJBVOYwF+r26KvbJUIdTEPdnqs4rA61jtXJqFJzQJ0EsIevUqc814ah03LNvjiI3Thx1d6lHSdmbSrrgXUUjx7qPvcB9dqytB/maq5e/2KuzYZhGM9pErS/dIX+9VYwPfHEE1i/fj1GR0exYMECnHXWWdi1a5e3zu7du3Heeedh3333xV577YVTTz0Vjz76aK7MQw89hJNOOgl77rknFi9ejLe85S1Ikvy13H777dlk74UvfCGuu+663P477rgDJ598MpYuXYqBgQHcdNNNhbacccYZGBgYyP2tXbu21r0wDMMwqlJfri1btgzz58/P/q644oqOWjIwMIBvfOMbuOeee7D33ntj3rx5+PCHP4xbb70V++yzT0fHNgzDMOYCdWRa7+drnTLnLRK1L8q+RVBcHlAt6KsUSJ2fix+/yuqL07WASBWqWmyEuUbrD1UVC0Qtv2qbuSVAmdtaPj/sEeSWj5SQRXk0qrZjugm19gh1HdPr+68/ZDGW0PN130qm/ywS169fj0ceeQSbNm3C5OQkzjzzTJx99tm48cYb1Trnn38+brnlFnzpS1/C/PnzsXHjRpxyyin4zne+AwBI0xQnnXQSxsbGcOedd+KRRx7B61//egwNDeF973sfAOCBBx7ASSedhHPOOQc33HADbrvtNvzVX/0VlixZgjVr1gAAnnnmGRxxxBF4wxvegFNOOUVtz9q1a3Httddm251YtPSScQxhEMPq/lCrWi2vruWhVD80LECdBV6qnFdDWmyNW/xJi6/QumHn8Y8FNHlRtk+jU6u5OpaX3fAocHS6AjQ/RhUXdXcsyeIvXzZ84ZPQc1NrQX2xF9naUHNn1sL50Dx67e183bthvNKVhVJfrv3iF7/A6Oholqu9uy+++GJceeWV3iPef//9ePGLX4zzzjsPixcvxn/+539ijz32wGc+8xmcfPLJ+P73v48lS5ZUbKfREd2Y6khdK9X3JRW6YhVHxF44LZbZiWkWiBKTrYOplondol91JdPWrm6tUN9LxVPZys20HALLAoX2+kx3u3VpM9LfZqdFYn9qD6YZ3yCd73dlOnFp4qtBy20qdhx5hd3+Ux6W0asVI5vHrucqXaWMhqTs0/pTnYmd5I4ktUFDuof94MpclW65PufLVY8tJ2GrfDUnXrfeeiu+//3v45hjjgEAfPzjH8erXvUqXHXVVVi6dGmhzlNPPYXPfvazuPHGG/HKV74SAHDttdfikEMOwXe/+128/OUvx9e//nXcd999+MY3voH99tsPRx55JC6//HK89a1vxWWXXYbh4WFcc801WL58OT70oQ8BAA455BB8+9vfxkc+8pFMkbhu3TqsW7eu9DpGRkaeE7GvJjGCyKNIBMJjgHaidAxVGIYcr6xdZe7MVZ7Dsjh2XF77YiRXVSr64iXTc0jt5ZTFvu0Voccuk/vdcI0ODW0ScmwNHsuQHqfTUCa8/2jH8ykYQ1dkpsdxaArPsjHLZJ+t2jw6OppTJGpceOGFOOOMM7xlVqxYgc2bN+Pmm2/Gr3/96+y4n/zkJ7Fp0yZcf/31uPjii7vRbEMgagUmjFN0R4HY53SqWOSqHveEayqdKkrFIPohrN9M04nbfdCBQ/d1uzfNMrLfKW7GRmQ8F+fHM0FPXZuvuOIKvPSlL8Xee++NxYsX49WvfjW2bduWK9MtdzbDMIy5SR1T+eYAY+fOnbm/8fHObUu2bNmCBQsWZEpEADjhhBMwODiIu+66S6yzdetWTE5O4oQTTsjyDj74YBxwwAHYsmVLdtzDDjsM++23X1ZmzZo12LlzJ37yk59kZegxXBl3jCrcfvvtWLx4MV784hfj3HPPxeOPPw7A5JphGEbvqS/XQlm0aBEOPvhg79/w8DB+85vfAAAGB/NTpsHBQUxNTXVykX2ByTTDMIxeU1emzeHFVr71rW/hvPPOw0tf+lIkSYK3ve1tOPHEE3Hffffhec97HoDuuLN1E5+bsa9MN88nnRPoT9flbtPJve22+1UdQgKWl63S3Imrmq9uv7ovd4NOvxzVqV/X+rD7v0P91S2XLVuWy7300ktx2WWXddSaHTt2YPHixbm8OI6xcOFC7NixQ60zPDyMBQsW5PL322+/rM6OHTtySkS33+3zldm5cyeeffZZ7LFHmIPO2rVrccopp2D58uX4+c9/jre97W1Yt24dtmzZ0ndyLUWEFFEt1/3QBYm6tUBL6LHrLnJU5Vg+yhY6oSs6d0oVi0h67uJx+mvC3g0vgrIyoa7QoefRoG7GgLywiWQNGBI6pOxY2rY7vm91ZofmGl58nqrdZ3fs3lhu9M+qzatXr8Y+++yD008/He9617uwxx574B//8R+zUBrPdfpNpjUlWqOnltTdpldLZISc9zlnM/bc+Vl1+kvcBtJLhZRm++rO+dyYf6ZJhHSk2dbuP1e2anNlbr311tz2ddddh8WLF2Pr1q34gz/4g665s/WamRBmzyUB2i/04z2bbldXM8Wux3T+Tv0UIzE0lhQQHk9qNnDaaadl6cMOOwyHH344XvCCF+D222/vO7k2jmEMIP+79WrF8iqxQkPP1e0YjnWOC/jjJfN8SVHF3Z7zx5BjIvLzlLWRlwuhWzJhOj6gFsuVv9c6cV/2fcgthrRpxx508BiEIfc61O3ZFxeR57WPWx7v0Kds1Ov7YnbGfRcjsds8//nPx6233oq3v/3teOUrX4nJyUn8zu/8Dr785S/jiCOO6Mk5p5N+k2n9RDIN04rp0El1ec3cIu4iRoS8uUSvYvp5mQ5FU6drg4ccH3gOqsUrMDtjJE7rqs1PPfUUAGDhwoUAuufOxhkfHy+47BmGYcxO6q9u6WJJuT+fIvHCCy/E/fff7/1bsWIFxsbG8Nhjj+VbmCR44okn1JiDY2NjmJiYwJNPPpnLf/TRR7M6Y2NjBVcqt11WZnR0NNgaUWLFihV4/vOfj+3btxf2mVwzDMPoNvXlWi845phj8LWvfQ2PP/44du7ciS1btgTF2n0uYjLNMAyj29iqzR0xNTWFN7/5zfi93/s9vOQlLwHQPXc2zhVXXIF3v/vdhfxk5zOVrIGkL9BV6nIrhDrnptDjSWnfMbphBdXJ/ej2cWXrgN6eP6Rc1d/GrQJK6eT+ar85z9euJbT9nbTNd06tDiW0/SFtaR+vnZaOJd3XMqsS/tu6euM7m/YbjUajtJ1hTI/lxqJFi7Bo0aLScqtXr8aTTz6JrVu3YuXKlQCAzZs3Y2pqCqtWrRLrrFy5EkNDQ7jttttw6qmnAgC2bduGhx56CKtXr86O+3d/93d47LHHMtfpTZs2YXR0FIceemhW5itf+Uru2Js2bcqOUZf/+Z//weOPP15YnbMf5NrTOxuYAO9LiWIdVXzfOD+jtPBdcbKVT4/TjgfWzpfyeL47J39eo+w8HM3NsnkUv+VX83zycacCrMa6uVp8/txh3259S1dUddXu1jIYVSPB+d7DoccaDChJf2XNwpAfxZXzHd3X/6RrmyBp/8Ix+lmrunCHrF5dni+3p8o5x3c23z/dk2lAP1kkziX6Qabt2tnskykaSMabfSp5Bhj4TavAbwDsImma/2zrDwB2o72k+DjaD+kE2i8OOk93C7q4R2IKmGx16WcbzcO507j0s630s+QQrjkJKUdPQ3s2VxPU6cEp8pN594TG5Hh0/ySQjRiG0Lxcd8l0TZsEQOIKNoAhcl+yQmmroBOFk2jf5yG0739EykStBjnhFJMGRchMnHanwK60ueNpTGFX66S7keIZJPhN60d8FpN4tnXS3RjHeGvxuXEMYKJ15ZOIMdlqQIJBpBjM3vFTABrPtM7/dAN4pnUBz7T+gHbfap4k37cmyDVL/cmdZIpcZ45JAE+30q5HaelJsp0Iad67IORXgb7vY+i9y6UbyPc2Ok7kvculqcsvsUhswN856TPs7v84OUSMfL8bRLvP0YFRo4FGo/nUNqaexVTa/KF/e+fd+AVmeq7m6vUv06ZIPO+88/DjH/8Y3/72t3t+rksuuQQXXHBBtv3www/j0EMPxceWXd3zcxuGYYTw9NNPY/78+TPdjK5zyCGHYO3atdiwYQOuueYaTE5OYuPGjTjttNOyFZsffvhhHH/88fjc5z6Hl73sZZg/fz7OOussXHDBBVi4cCFGR0fxpje9CatXr8bLX/5yAMCJJ56IQw89FK973evwgQ98ADt27MA73vEOnHfeeZkl5TnnnINPfOITuOiii/CGN7wBmzdvxhe/+EXccsstWft27dqVsyx84IEHcO+992LhwoU44IADsGvXLrz73e/GqaeeirGxMfz85z/HRRddhBe+8IXZys+OmZRrDzzwAI488kh8ZNk1PT+3YRhGGY8//vislGlziX6Yq61e9uuen9sIxClxqLHo/05nA54h/z/mK2jMNpwi94nen8qpCqnu+LbW/7N1rtYtpkWRuHHjRtx888244447sP/++2f51J2Nfuni7mzf+973csfj7myckZGRnIveXnvthfvuuw+HHnpoISaY0WTnzp1YtmyZ3R8Pdo/KsXvkx92f++67L1OqdU6d6De9jalyww03YOPGjTj++OMxODiIU089FR/72MfaZ5+cxLZt27LVMAHgIx/5SFZ2fHwca9aswSc/+clsfxRFuPnmm3Huuedi9erVeN7znofTTz8d73nPe7Iyy5cvxy233ILzzz8ff//3f4/9998fn/nMZ3IKwLvvvhvHHXdctu0mMqeffjquu+46RFGEH/3oR7j++uvx5JNPYunSpTjxxBNx+eWX5+TKTMu1Aw88EEBzpUwb5MjY+6gcu0d+7P6U89RTT+GAAw7IXGG7Q//JtdnOTMs0m6uFYe8kP3Z/yrF75Kd/5mquXv/SU0Vio9HAm970Jvz7v/87br/9dixfvjy3v1vubGUMDg7it37rtwC0Y4IZMnZ/yrF7VI7dIz+/9Vu/hcHBboWo7T8XsIULF+LGG29U9x900EEFd4F58+bh6quvxtVX65bjBx54YMF1mXPsscfinnvu8e73uSrsscce+NrXvqbu7ye5BgDz58+3Z60Eex+VY/fIj92fcron04B+lGuzlX6SaTZXC8fukR+7P+XYPfIz83M1V69/6aki8bzzzsONN96IL3/5y9h7772zOBnz58/HHnvs0TV3NsMwjLkLDRZSpY5RB5NrhmEYvcbk2nRhMs0wDKPX1JFprl7/0lNF4qc+9SkATQsQyrXXXoszzjgDQHfc2QzDMOYuZrkxnZhcMwzD6DUm16YLk2mGYRi9xiwSKxOy0k233NnKGBkZwaWXXmpfxhTs/pRj96gcu0d+enN/JoGKq8f2e8yNfqZf5Jo9a+XYPSrH7pEfuz/lmFx7btMvMg2w5y0Eu0d+7P6UY/fIT//INFevfxlodG9da8MwDGOa2LlzZ2uRjXcAmFex9m4A78VTTz1l8VEMwzCMvsDkmmEYhjFb6EymAf0u16Zl1WbDMAyjVzyD6qbv471oiGEYhmF0AZNrhmEYxmyhjkwD+l2umSLRMAzjOcjw8DDGxsawY8dHatUfGxvD8PBwl1tlGIZhGPUwuWYYhmHMFjqVaUB/yzVzbTYMw3iOsnv3bkxMTNSqOzw8jHnz6pjZG4ZhGEZvMLlmGIZhzBY6kWlAf8s1UyQahmEYhmEYhmEYhmEYhlHK4Ew3YDq4+uqrcdBBB2HevHlYtWoVvve97810k2aMyy67DAMDA7m/gw8+ONu/e/dunHfeedh3332x11574dRTT8Wjjz46gy3uLXfccQdOPvlkLF26FAMDA7jpppty+xuNBt71rndhyZIl2GOPPXDCCSfgZz/7Wa7ME088gfXr12N0dBQLFizAWWedhV27dk3jVfSWsnt0xhlnFPrU2rVrc2Vm8z264oor8NKXvhR77703Fi9ejFe/+tXYtm1brkzIc/XQQw/hpJNOwp577onFixfjLW95C5KkTjwNYy5gcq2JybQiJtfKMbnmx+SaMROYXGticq2IyTU/JtP8mEzrDbNekfiFL3wBF1xwAS699FL84Ac/wBFHHIE1a9bgsccem+mmzRi/8zu/g0ceeST7+/a3v53tO//88/F//s//wZe+9CV861vfwi9/+UuccsopM9ja3vLMM8/giCOOwNVXXy3u/8AHPoCPfexjuOaaa3DXXXfhec97HtasWYPdu3dnZdavX4+f/OQn2LRpE26++WbccccdOPvss6frEnpO2T0CgLVr1+b61L/8y7/k9s/me/Stb30L5513Hr773e9i06ZNmJycxIknnohnnnkmK1P2XKVpipNOOgkTExO48847cf311+O6667Du971rpm4JKPPMbmWx2RaHpNr5Zhc82NyzZhuTK7lMbmWx+SaH5Npfkym9YjGLOdlL3tZ47zzzsu20zRtLF26tHHFFVfMYKtmjksvvbRxxBFHiPuefPLJxtDQUONLX/pSlnf//fc3ADS2bNkyTS2cOQA0/v3f/z3bnpqaaoyNjTU++MEPZnlPPvlkY2RkpPEv//IvjUaj0bjvvvsaABrf//73szJf/epXGwMDA42HH3542to+XfB71Gg0Gqeffnrjj//4j9U6c+0ePfbYYw0AjW9961uNRiPsufrKV77SGBwcbOzYsSMr86lPfaoxOjraGB8fn94LMPoek2ttTKb5MblWjsm1ckyuGb3G5Fobk2t+TK75MZlWjsm07jCrLRInJiawdetWnHDCCVne4OAgTjjhBGzZsmUGWzaz/OxnP8PSpUuxYsUKrF+/Hg899BAAYOvWrZicnMzdr4MPPhgHHHDAnLxfDzzwAHbs2JG7H/Pnz8eqVauy+7FlyxYsWLAAxxxzTFbmhBNOwODgIO66665pb/NMcfvtt2Px4sV48YtfjHPPPRePP/54tm+u3aOnnnoKALBw4UIAYc/Vli1bcNhhh2G//fbLyqxZswY7d+7ET37yk2lsvdHvmFwrYjItHJNr4Zhca2NyzeglJteKmFwLx+RaGCbT2phM6w6zWpH4v//7v0jTNPeDA8B+++2HHTt2zFCrZpZVq1bhuuuuw6233opPfepTeOCBB/D7v//7ePrpp7Fjxw4MDw9jwYIFuTpz9X65a/b1nx07dmDx4sW5/XEcY+HChXPmnq1duxaf+9zncNttt+HKK6/Et771Laxbtw5pmgKYW/doamoKb37zm/F7v/d7eMlLXgIAQc/Vjh07xH7m9hmGw+RaHpNp1TC5FobJtTYm14xeY3Itj8m1aphcK8dkWhuTad0jnukGGNPLunXrsvThhx+OVatW4cADD8QXv/hF7LHHHjPYMuO5ymmnnZalDzvsMBx++OF4wQtegNtvvx3HH3/8DLZs+jnvvPPw4x//OBfLxjCM3mEyzegFJtfamFwzjOnF5JrRbUymtTGZ1j1mtUXi85//fERRVFhx59FHH8XY2NgMtaq/WLBgAX77t38b27dvx9jYGCYmJvDkk0/myszV++Wu2dd/xsbGCoGgkyTBE088MSfvGQCsWLECz3/+87F9+3YAc+cebdy4ETfffDO++c1vYv/998/yQ56rsbExsZ+5fYbhMLnmx2SaH5Nr9TC5ZnLN6B0m1/yYXPNjcq06JtNMpnWDWa1IHB4exsqVK3HbbbdleVNTU7jtttuwevXqGWxZ/7Br1y78/Oc/x5IlS7By5UoMDQ3l7te2bdvw0EMPzcn7tXz5coyNjeXux86dO3HXXXdl92P16tV48sknsXXr1qzM5s2bMTU1hVWrVk17m/uB//mf/8Hjjz+OJUuWAJj996jRaGDjxo3493//d2zevBnLly/P7Q95rlavXo3/+3//b06Ib9q0CaOjozj00EOn50KM5wQm1/yYTPNjcq0eJtdMrhm9w+SaH5NrfkyuVcdkmsm0rjDDi730nM9//vONkZGRxnXXXde47777GmeffXZjwYIFuRV35hIXXnhh4/bbb2888MADje985zuNE044ofH85z+/8dhjjzUajUbjnHPOaRxwwAGNzZs3N+6+++7G6tWrG6tXr57hVveOp59+unHPPfc07rnnngaAxoc//OHGPffc0/jv//7vRqPRaLz//e9vLFiwoPHlL3+58aMf/ajxx3/8x43ly5c3nn322ewYa9eubRx11FGNu+66q/Htb3+78aIXvajxmte8ZqYuqev47tHTTz/d+P/+v/+vsWXLlsYDDzzQ+MY3vtE4+uijGy960Ysau3fvzo4xm+/Rueee25g/f37j9ttvbzzyyCPZ329+85usTNlzlSRJ4yUveUnjxBNPbNx7772NW2+9tbFo0aLGJZdcMhOXZPQ5JtfamEwrYnKtHJNrfkyuGdONybU2JteKmFzzYzLNj8m03jDrFYmNRqPx8Y9/vHHAAQc0hoeHGy972csa3/3ud2e6STPGX/zFXzSWLFnSGB4ebvzWb/1W4y/+4i8a27dvz/Y/++yzjb/+679u7LPPPo0999yz8Sd/8ieNRx55ZAZb3Fu++c1vNgAU/k4//fRGo9FoTE1NNd75znc29ttvv8bIyEjj+OOPb2zbti13jMcff7zxmte8prHXXns1RkdHG2eeeWbj6aefnoGr6Q2+e/Sb3/ymceKJJzYWLVrUGBoaahx44IGNDRs2FAZ+s/keSfcGQOPaa6/NyoQ8Vw8++GBj3bp1jT322KPx/Oc/v3HhhRc2Jicnp/lqjOcKJteamEwrYnKtHJNrfkyuGTOBybUmJteKmFzzYzLNj8m03jDQaDQa3bRwNAzDMAzDMAzDMAzDMAxj9jGrYyQahmEYhmEYhmEYhmEYhtEdTJFoGIZhGIZhGIZhGIZhGEYppkg0DMMwDMMwDMMwDMMwDKMUUyQahmEYhmEYhmEYhmEYhlGKKRINwzAMwzAMwzAMwzAMwyjFFImGYRiGYRiGYRiGYRiGYZRiikTDMAzDMAzDMAzDMAzDMEoxRaJhGIZhGIZhGIZhGIZhGKWYItEwDMMwDMMwDMMwDMMwjFJMkWgYhmEYhmEYhmEYhmEYRimmSDQMwzAMwzAMwzAMwzAMoxRTJBqGYRiGYRiGYRiGYRiGUYopEg3DMAzDMAzDMAzDMAzDKCWe6QYYRj/z61//Gu9+97uRJAm2b9+OP//zP8df/uVf4i1veQsajQZ+/etf4+1vfzsOPfTQmW6qYRiGYZRics0wDMOYLZhMM4yZwRSJhqEwMTGBv/7rv8aHPvQhLF26FP/93/+N5cuX48tf/jI++tGP4mc/+xlOOukk7LPPPvjEJz4x0801DMMwDC8m1wzDMIzZgsk0w5g5zLXZMBSuueYa/PVf/zWWLl0KAJg3bx4ajQYOOuggLF++HGma4kUvehFe85rXzHBLDcMwDKMck2uGYRjGbMFkmmHMHGaRaBgK++67L37/938/27777rsBAGvXrgUArFu3DuvWrZuRthmGYRhGVUyuGYZhGLMFk2mGMXOYRaJhKKxfvz63/c1vfhNxHOMVr3jFDLXIMAzDMOpjcs0wDMOYLZhMM4yZY6DRaDRmuhGG8Vzg6KOPxtDQEO66666ZbophGIZhdIzJNcMwDGO2YDLNMKYPs0g0jACeeOIJ/PCHP8Sxxx6by//MZz4zMw0yDMMwjA4wuWYYhmHMFkymGcb0YopEwxD41a9+hZe97GV4+9vfDgD42te+hqmpKbzsZS/LlbnzzjtnqomGYRiGEYzJNcMwDGO2YDLNMGYWUyQahsC3vvUtfP/738fQ0BCeffZZfOELX8DSpUuxa9cuAMAzzzyDv/mbv8Fll102sw01DMMwjABMrhmGYRizBZNphjGzWIxEwxDYtWsX3vzmN2N4eBi7du3CJZdcgp07d+Jtb3sbDjzwQExMTOCiiy7C4YcfPtNNNQzDMIxSTK4ZhmEYswWTaYYxs5gi0TAMwzAMwzAMwzAMwzCMUsy12TAMwzAMwzAMwzAMwzCMUkyRaBiGYRiGYRiGYRiGYRhGKaZINAzDMAzDMAzDMAzDMAyjFFMkGoZhGIZhGIZhGIZhGIZRiikSDcMwDMMwDMMwDMMwDMMoxRSJhmEYhmEYhmEYhmEYhmGUYopEwzAMwzAMwzAMwzAMwzBKMUWiYRiGYRiGYRiGYRiGYRilmCLRMAzDMAzDMAzDMAzDMIxSTJFoGIZhGIZhGIZhGIZhGEYppkg0DMMwDMMwDMMwDMMwDKMUUyQahmEYhmEYhmEYhmEYhlGKKRINwzAMwzAMwzAMwzAMwyjl/wcEcwKb8rBHcAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig1, (ax1,ax2,ax3) = plt.subplots(ncols=3,figsize=(16,4))\n", "# -----------------------PLot-1-------------------------------\n", "img1=ax1.imshow(np.rot90(p-pana),cmap='jet', interpolation='none')\n", "fig1.colorbar(img1, ax=ax1)\n", "ax1.set_xlabel('$x$',fontsize=16)\n", "ax1.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax1.set_title(\"$P_{num}-P_{ana}$\",fontsize=14)\n", "# -----------------------PLot-2-------------------------------\n", "img2=ax2.imshow(np.rot90(u+dxp*dt/dx),cmap='jet', interpolation='none')\n", "fig1.colorbar(img2, ax=ax2)\n", "ax2.set_xlabel('$x$',fontsize=16)\n", "ax2.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax2.set_title(\"$Vx_{num}-Vx_{ana}$\",fontsize=14)\n", "# -----------------------PLot-3-------------------------------\n", "img3=ax3.imshow(np.rot90(v+dyp*dt/dx),cmap='jet', interpolation='none')\n", "fig1.colorbar(img3, ax=ax3)\n", "ax3.set_xlabel('$x$',fontsize=16)\n", "ax3.set_ylabel('$y$',fontsize=16,rotation=0)\n", "ax3.set_title(\"$Vy_{num}-Vy_{ana}$\",fontsize=14)\n", "fig1.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "ef9b7947-7aee-410b-b31d-10f455fe0173", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "skip-execution" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig1, (ax1,ax2,ax3,ax4) = plt.subplots(ncols=4,figsize=(28,6))\n", "fig1.suptitle(r\"$Gradient$ $Pressure$ $Comparison$\",fontsize=14)\n", "# -----------------------PLot-1-------------------------------\n", "ax1.plot(x,-dxp[int((Nx-1)/2),:],'k-',label='Analytical')\n", "ax1.plot(x,u[int((Nx-1)/2),:]*dx/dt,'r--',label='Numerical')\n", "ax1.set_xlim(0,1);ax1.set_ylim(0,3.5)\n", "ax1.legend(fontsize=14)\n", "ax1.set_xlabel('$y$',fontsize=16)\n", "ax1.set_ylabel('$u_{x}(0.5,y)$',fontsize=16)\n", "# -----------------------PLot-2-------------------------------\n", "ax2.plot(y,-dyp[int((Nx-1)/2),:],'k-',label='Analytical')\n", "ax2.plot(y,v[int((Nx-1)/2),:]*dx/dt,'r--',label='Numerical')\n", "ax2.set_xlim(0,1);ax2.set_ylim(-1,1.)\n", "ax2.legend(fontsize=14)\n", "ax2.set_xlabel('$y$',fontsize=16)\n", "ax2.set_ylabel('$u_{y}(0.5,y)$',fontsize=16)\n", "# -----------------------PLot-3-------------------------------\n", "ax3.plot(x,-dxp[:,int((Nx-1)/2)],'k-',label='Analytical')\n", "ax3.plot(x,u[:,int((Nx-1)/2)]*dx/dt,'r--',label='Numerical')\n", "ax3.set_xlim(0,1);ax3.set_ylim(0,0.7)\n", "ax3.legend(fontsize=14)\n", "ax3.set_xlabel('$x$',fontsize=16)\n", "ax3.set_ylabel('$u_{x}(x,0.5)$',fontsize=16)\n", "# -----------------------PLot-4-------------------------------\n", "ax4.plot(y,-dyp[:,int((Nx-1)/2)],'k-',label='Analytical')\n", "ax4.plot(y,v[:,int((Nx-1)/2)]*dx/dt,'r--',label='Numerical')\n", "ax4.set_xlim(0,1);ax4.set_ylim(-1,1.)\n", "ax4.legend(loc=1,fontsize=14)\n", "ax4.set_xlabel('$x$',fontsize=16)\n", "ax4.set_ylabel('$u_{y}(x,0.5)$',fontsize=16)\n", "fig1.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "155a3a1c-a162-4fe5-9fca-b0abff31b758", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ErroP= 0.00028686139633696267\n", "ErroDxP= 0.0005911290130148428\n", "ErroDyP= 0.00030410178129063444\n", "ErroU= 0.0005911290130149131\n", "ErroV= 0.00030410178129050027\n" ] } ], "source": [ "Errop=np.sqrt(np.sum((p-pana)**2))/np.sqrt(np.sum((pana)**2))\n", "print('ErroP=',Errop)\n", "ErroDxp=np.sqrt(np.sum((dxr-dxp*dx)**2))/np.sqrt(np.sum((dxp*dx)**2))\n", "print('ErroDxP=',ErroDxp)\n", "ErroDyp=np.sqrt(np.sum((dyr-dyp*dx)**2))/np.sqrt(np.sum((dyp*dx)**2))\n", "print('ErroDyP=',ErroDyp)\n", "ErroU=np.sqrt(np.sum((u+dxp*dt/dx)**2))/np.sqrt(np.sum((dxp*dt/dx)**2))\n", "print('ErroU=',ErroU)\n", "ErroV=np.sqrt(np.sum((v+dyp*dt/dx)**2))/np.sqrt(np.sum((dyp*dt/dx)**2))\n", "print('ErroV=',ErroV)" ] }, { "cell_type": "code", "execution_count": 11, "id": "d443a0da-bad8-4233-a87f-cb8b03a185ac", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [], "source": [ "Ep0 = np.array([7.581804223832276e-05,1.9455755168783066e-05,3.516132010721964e-06])\n", "Eu0 = np.array([0.0006494761036563891,0.00016159075773188218,4.0610389371128424e-05])\n", "Ev0 = np.array([0.0006276179205283175,0.00015809795152452036,4.0377973496062506e-05])\n", "Ep1 = np.array([0.00014879659187283224,3.820589700871858e-05,9.463298002459788e-06])\n", "Eu1 = np.array([0.000970989709570425,0.00024123452788356743,6.011830955335574e-05])\n", "Ev1 = np.array([0.0009217796134524976,0.00023270365330683272,5.8498500603119967e-05])\n", "Malha=np.array([51,101,201])" ] }, { "cell_type": "code", "execution_count": 13, "id": "43e7d846-b55d-432c-b4aa-de9c9febb177", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7.58180422e-05 1.94557552e-05 3.51613201e-06]\n", "[-2.23946394 -0.62518438]\n" ] } ], "source": [ "print(Ep0)\n", "TEp=np.polyfit(np.log(Malha), np.log(Ep0), 1)\n", "print(TEp)" ] }, { "cell_type": "code", "execution_count": 14, "id": "f6b4f773-3744-4ed4-8425-f0c4792991d7", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[6.49476104e-04 1.61590758e-04 4.06103894e-05]\n", "[-2.02126162 0.6045687 ]\n" ] } ], "source": [ "print(Eu0)\n", "TEu=np.polyfit(np.log(Malha), np.log(Eu0), 1)\n", "print(TEu)" ] }, { "cell_type": "code", "execution_count": 15, "id": "28285872-d24c-41c0-91b2-e096ec44ee83", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[6.27617921e-04 1.58097952e-04 4.03779735e-05]\n", "[-2.00048166 0.48802413]\n" ] } ], "source": [ "print(Ev0)\n", "TEv=np.polyfit(np.log(Malha), np.log(Ev0), 1)\n", "print(TEv)" ] }, { "cell_type": "code", "execution_count": 69, "id": "de5d7e74-96be-4ddc-809f-40ccd02088b2", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "skip-execution", "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "plt.title(\"$Grid$ $Convergence$ $Test$\",fontsize=14)\n", "plt.loglog(1/Malha,Ep0,'rs--',fillstyle='none', label='$\\\\tau=1$ - $E_{p}=-2.23$')\n", "plt.loglog(1/Malha,Eu0,'ro:',fillstyle='none', label='$\\\\tau=1$ - $E_{u_{x}}=-2.02$')\n", "plt.loglog(1/Malha,Ev0,'rv-.',fillstyle='none', label='$\\\\tau=1$ - $E_{u_{y}}=-2.00$')\n", "plt.loglog(1/Malha,Ep1,'ks--',fillstyle='none', label='$\\\\tau=0.79$ - $E_{p}=-2.01$')\n", "plt.loglog(1/Malha,Eu1,'ko:',fillstyle='none', label='$\\\\tau=0.79$ - $E_{u_{x}}=-2.03$')\n", "plt.loglog(1/Malha,Ev1,'kv-.',fillstyle='none', label='$\\\\tau=0.79$ - $E_{u_{y}}=-2.01$')\n", "plt.loglog(1/Malha,4.*1.0/(Malha**2),'k-',fillstyle='none')\n", "plt.text(0.009, 0.0004, \"$2nd-order$ $Slope$\", rotation=15,fontsize=12)\n", "plt.ylim(0,0.01)\n", "plt.legend(loc=2,ncol=3,fontsize=8.5)\n", "plt.ylabel('$E_{\\eta}$',fontsize=16,rotation=0,horizontalalignment='right')\n", "plt.xlabel('$\\Delta x$',fontsize=16)\n", "plt.show()\n", "# plt.savefig('conv', dpi=300, bbox_inches='tight')" ] } ], "metadata": { "celltoolbar": "Edit Metadata", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "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" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }