{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ancient Economies: A Malthusian Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Basic Setup \n", "\n", "The basic setup model has production (or output) $ Y $ as a function of the capital stock $ K $, the labor force $ L $, the efficiency of labor $ E $, and the decreasing-returns parameter $ \\alpha $:\n", "\n", ">(1) $ Y = K^{\\alpha}(EL)^{1-\\alpha} $ :: production\n", "\n", ">(2) $ \\ln(Y) = \\alpha\\ln(K) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $ :: log production\n", "\n", "Growth rates of the capital stock, the labor force, the efficiency of labor, and of production as functions of the savings-investment rate $ s $, the population and labor force growth rate $ n $, the efficiency-of-labor growth rate $ g $, and the depreciation rate $ \\delta $:\n", "\n", ">(3) $ \\frac{dK/dt}{K} = \\frac{d\\ln(K)}{dt} = g_k = \\frac{sY}{K} - \\delta $ :: the proportional rate of growth of the capital stock\n", "\n", ">(4) $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n $ :: the proportional rate of growth of the labor force and population\n", "\n", ">(5) $ \\frac{dE/dt}{E} = \\frac{d\\ln(E)}{dt} = g $ :: the proportional rate of growth of the efficiency of labor\n", "\n", ">(6) $ \\frac{d\\ln(Y)}{dt} = g_{n+y} = \\alpha g_k + (1-\\alpha)n + (1-\\alpha)g $ :: the proportional rate of growth of total production\n", "\n", "And define the capital-output ratio:\n", "\n", ">(7) $ \\kappa = \\frac{K}{Y} $\n", "\n", ">(8) $ \\ln(\\kappa) = \\ln(K) - \\ln(Y) $\n", "\n", ">(9) $ \\frac{d\\ln(\\kappa)}{dt} = g_\\kappa = g_k - g_y $ :: proportional growth rate of the capital-output ratio\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Determining the Equilibrium Capital-Output Ratio $ \\kappa^* $ \n", "\n", "Now fix the parameters $ \\alpha, \\beta, s, h $, and look for a situation in which $ g_\\kappa = 0 $: in which the capital stock $ K $ and production $ Y $ are growing at the same rate so that the capital-output ratio $ g_\\kappa $ is constant.\n", "\n", "Starting from (9) and substituting:\n", "\n", ">(10) $ g_\\kappa = g_k - \\left( \\alpha g_k + (1-\\alpha)n + (1-\\alpha)g \\right) $\n", "\n", ">(11) $ g_\\kappa - g_{y+n} = (1-\\alpha)\\left( g_k - n - g \\right) $\n", "\n", ">(12) $ g_\\kappa = (1-\\alpha)\\left( \\frac{sY}{K} - \\delta - n - g \\right) $\n", "\n", ">(13) $ n + g + \\delta = \\frac{sY}{K} $ whenever $ g_\\kappa = 0 $\n", "\n", ">(14) $ \\kappa = \\frac{K}{Y} = \\frac{s}{n + g + \\delta} $ whenever $ g_\\kappa = 0 $\n", "\n", "So we define the _steady-state growth equilibrium_ capital-output ratio:\n", "\n", ">(15) $ \\kappa^*_{[s,n,g,\\delta]} = \\left( \\frac{K}{Y} \\right)^* = \\frac{s}{n + g + \\delta} $\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Determining Steady-State Growth-Path Production per Worker \n", "\n", "Recall 2:\n", "\n", ">(2) $ \\ln(Y) = \\alpha\\ln(K) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", "from that derive:\n", "\n", ">(16) $ \\ln(Y) = \\alpha\\left(\\ln(\\kappa) + \\ln(Y) \\right) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", ">(17) $ (1-\\alpha)\\ln(Y) = \\alpha\\ln(\\kappa) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", ">(18) $ \\ln(Y) = \\left( \\frac{\\alpha}{1-\\alpha} \\right)\\ln(\\kappa) + \\ln(L) + \\ln(E) $\n", "\n", ">(19) $ \\ln \\left( \\frac{Y}{L} \\right) = \\left( \\frac{\\alpha}{1-\\alpha} \\right)\\ln(\\kappa) + \\ln(E) $\n", "\n", "These $ \\alpha/(1-\\alpha) $ terms are getting annoying:\n", "\n", ">(20) $ \\theta = \\frac{\\alpha}{1-\\alpha} $\n", "\n", ">(21) $ \\ln \\left( \\frac{Y}{L} \\right) = \\theta\\ln(\\kappa) + \\ln(E) $\n", "\n", "And so we define steady-state growth-path production-per-worker as:\n", "\n", ">(22) $ \\ln \\left( \\frac{Y}{L} \\right)^* = \\theta \\ln(\\kappa^*) =+ \\ln(E) $ \n", "\n", ">(23) $ \\left(\\frac{Y}{L}\\right)^* = \\left(\\kappa^*\\right)^\\theta E $\n", "\n", ">(24) $ \\left(\\frac{Y}{L}\\right)^* = \\left( \\frac{s}{n+g+\\delta} \\right)^\\theta E $\n", "\n", ">(25) $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = g $\n", "\n", "Along the steady-state growth path, production per worker $ Y/L $, capital per worker $ K/L $, and the efficiency of labor $ E $ both grow at the proportional rate $ g $; the population and labor force $ L $ grows at the proportional rate $ n $; total production $ Y $ and the capital stock $ K $ grow at the proportional rate $ n + g $; and the capital-output ratio $ K/L $ is constant.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Population, Resource Scarcity, and the Efficiency of Labor \n", "\n", "Now let's complicate the determinants of the efficiency of labor. Let's make its growth a function of the rate $ h $ at which economically useful ideas are generated, but also of the rate of population and labor force growth $ n $ because a higher population makes resources per capita scarce, as determined by an effect-of-resource scarcity parameter $ \\gamma $:\n", "\n", ">(26) $ \\frac{dE/dt}{E} = \\frac{d\\ln(E)}{dt} = g = h - \\frac{n}{\\gamma} $\n", "\n", "Thus:\n", "\n", ">(27) $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = 0 $ whenever $ h - \\frac{n}{\\gamma} = 0 $\n", "\n", ">(28) $ n^{*mal} = \\gamma h $ is the population growth rate at which $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = 0 $\n", "\n", "When population is growing at the rate $ n^{*mal} $, the efficiency of labor—and thus the steady-state growth-path level of production per worker $ Y/L $—is constant.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Determinants of Population and Labor Force Growth \n", "\n", "Now let's make the rate of growth of the population and labor force depend on the level of prosperity $ y = Y/L $; on the \"subsistence\" standard of living for necessities $y^{sub} $; and also on the fraction $ 1/\\phi $ of production that is devoted to necessities, not conveniences and luxuries, and thus enters into reproductive and survival fitness:\n", "\n", ">(29) $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n = \\beta \\left( \\frac{y}{\\phi y^{sub}}-1 \\right) $\n", "\n", "Then for population to be growing at its Malthusian rate:\n", "\n", ">(30) $ \\gamma h = \\beta \\left(\\frac{1}{\\phi}\\right) \\left( \\frac{y}{y^{sub}}- \\phi \\right) $\n", "\n", ">(31) $ \\frac{\\phi \\gamma h}{\\beta} = \\left( \\frac{y}{y^{sub}}- \\phi \\right) $\n", "\n", ">(32) $ \\frac{y}{y^{sub}} = \\phi \\left( 1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", ">(33) $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ n^{*mal}}{\\beta}\\right) = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Full Equilibrium \n", "\n", "Thus we have our equilibrium for the pre-industrial Malthusian economy:\n", "\n", "* Start with the rate $ h $ at which new economically-useful ideas are being generated and with the responsiveness $ \\beta $ of population growth to increased prosperity.\n", "\n", "* From those derive the Malthusian rate of population growth: $ n^{*mal} = \\gamma h $\n", "\n", "* Then the Malthusian standard of living is: $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", "From 26, we can determine the log level $ E $ of the efficiency of labor:\n", "\n", ">(32) $ \\ln(E) = \\ln(H) - \\frac{\\ln(L)}{\\gamma} $\n", "\n", "Recall (24):\n", "\n", ">(24) $ y^* = \\left( \\frac{s}{n+g+\\delta} \\right)^\\theta E $\n", "\n", "Then:\n", "\n", ">(33) $ y^{*mal} = \\left( \\frac{s}{\\gamma h +\\delta} \\right)^\\theta E $\n", "\n", ">(34) $ \\ln(\\phi) + \\ln\\left( y^{sub} \\right) + \\ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(E) $\n", "\n", ">(35) $ \\ln(y^{sub}) = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\frac{\\ln(L_t)}{\\gamma} - \\ln(\\phi) - \\ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", ">(36) $ \\frac{\\ln(L_t)}{\\gamma} = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\ln(\\phi) - \\ln( y^{sub}) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", "Thus the population and labor force in the full Malthusian equilibrium will be:\n", "\n", ">(37) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\ln(\\phi) - \\ln( y^{sub}) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right] $\n", "\n", "It might be worthwhile decomposing this into terms depending on: (1) the level and rate of growth of the stock of _ideas_; (2) the rule of law and thrift that drive investment; (3) luxuries (including urbanization and elites); and demography in form of sociological (and law-and-order) determinants of \"subsistence\":\n", "\n", ">(38) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\ln(H_t) - \\theta \\ln(\\gamma h +\\delta) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right] + \\gamma \\left[ \\theta \\ln(s) \\right] - \\gamma \\left[ \\ln(\\phi) \\right] - \\gamma \\left[ \\ln( y^{sub}) \\right] $\n", "\n", "And recall (31) for the full Malthusian equilibrium standard of living:\n", "\n", ">(31) $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", "Plus for the rate of population growth:\n", "\n", ">(28) $ n^{*mal} = \\gamma h $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Production per worker and thus prosperity is determined by (a) true subsistence, (b) the wedge between prosperity and reproductive fitness produced by spending on conveniences and luxuries that do not impact reproductive success, and (c) the wedge above subsistence needed to generate population growth consonant with the advance of knowledge and population pressure's generation of resource scarcity.\n", "\n", "The level of population is:\n", "\n", "* raised by increases in the level of economically-useful knowledge $ H_t $\n", "* raised by increases in the importance $ \\theta $ of capital accumulation for production\n", "* raised by increases in the share of production saved and invested $ s $\n", "* lowered by increases in the rate of depreciation $ \\delta $, in the rate of increase of knowledge $ h $, and in the parameter $ \\gamma $ capturing how much resource scarcity reduces the efficiency of labor $ E $\n", "* lowered by an increase in the wedge $ \\phi $ between prosperity and subsistence created by spending on luxuries and conveniences (middle-class luxuries that do not affect reproduction, but also the \"luxury\" of having an upper class, and the additional luxuries of living in cities and having trade networks that can spread plagues).\n", "* lowered by an increase in basic biological subsistence requirements $ y^{sub} $ (produced by, say, Western European marriage patterns or lineage-family control of reproduction by clan heads).\n", "* lowered by an increase in the wedge $ \\gamma h / \\beta $ between basic subsistence and spending on necessities needed to generate population growth consonant with the advance of knowledge and population pressure's generation of resource scarcity\n", "\n", "\n", "\n", " " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# DEFINING CLASS MALTHUSIAN\n", "#\n", "# kept in delong_classes\n", "\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import numpy as np\n", "\n", "class malthusian:\n", " \n", " \"\"\"\n", " Implements the Malthusian Model with:\n", " \n", " 1. population growth \n", " n = β*(y/(ϕ ysub)-1)\n", " \n", " 2. growth of efficiency-of-labor \n", " g = h-n/γ\n", " \"\"\"\n", " def __init__(self,\n", " L = 1, # initial labor force\n", " E = 1/3, # initial efficiency of labor\n", " K = 3.0, # initial capital stock\n", " \n", " # determinants of n (population growth):\n", " β = 0.025, # responsiveness of population growth to increased prosperity.\n", " ϕ = 1, # luxuries parameter\n", " ysub = 1, # subsistence level\n", " \n", " # determinants of g(efficiency-of-labor growth):\n", " h = 0, # rate at which useful ideas are generated\n", " γ = 2.0, # effect-of-resource scarcity parameter \n", " \n", " s = 0.15, # savings-investment rate\n", " α = 0.5, # orientation-of-growth-toward-capital parameter\n", " δ = 0.05, # deprecation rate on capital parameter\n", " ):\n", " self.L, self.E, self.K, self.h, self.γ, self.s, self.α, self.δ = L, E, K, h, γ, s, α, δ \n", " self.β, self.ϕ, self.ysub = β, ϕ, ysub\n", " \n", " # production (or output)\n", " self.Y = self.K**self.α*(self.E*self.L)**(1-self.α) \n", " self.y = self.Y/self.L\n", " \n", " # capital-output ratio \n", " self.κ = self.K/self.Y \n", " \n", " # population growth \n", " self.n = self.β*((self.y/(self.ϕ*self.ysub)) - 1)\n", " \n", " # growth rate of efficiency-of-labor\n", " self.g = self.h-self.n/self.γ\n", " \n", " # store initial data\n", " self.initdata = vars(self).copy()\n", " \n", " def update(self):\n", " # unpack parameters\n", " K, s, Y, δ, L, n, E, g, α =self.K, self.s, self.Y, self.δ, self.L, self.n, self.E, self.g, self.α\n", " β, ϕ, ysub, h, γ = self.β, self.ϕ, self.ysub, self.h, self.γ\n", " \n", " #update variables \n", " K = s*Y + (1-δ)*K\n", " L = L*np.exp(n)\n", " E = E*np.exp(g)\n", " Y = K**α*(E*L)**(1-α)\n", " y = Y/L\n", " κ = K/Y\n", " n = β*(y/(ϕ*ysub)-1)\n", " g = h-n/γ\n", " \n", " #store variables\n", " self.K, self.s, self.Y, self.δ, self.L, self.n, self.E, self.g, self.α = K, s, Y, δ, L, n, E, g, α\n", " self.κ, self.y = κ, y\n", " \n", " def gen_seq(self, t, var = 'κ', init = True, log = False):\n", " \"Generate and return time series of selected variable. Variable is κ by default.\"\n", " \n", " path = []\n", " \n", " # initialize data \n", " if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "\n", " for i in range(t):\n", " path.append(vars(self)[var])\n", " self.update()\n", " \n", " if log == False:\n", " return path\n", " else:\n", " return np.log(np.asarray(path))\n", "\n", " def steady_state(self, disp = True):\n", " \"Calculate variable values in the steady state\"\n", " #unpack parameters\n", " s, γ, h, δ, ϕ, ysub, β, α= self.s, self.γ, self.h, self.δ, self.ϕ, self.ysub, self.β, self.α\n", " \n", " self.mal_κ = s/(γ*h+δ)\n", " # malthusian rate of population growth\n", " self.mal_n = γ*h\n", " # malthusian standard of living\n", " self.mal_y = ϕ*(ysub+γ*h/β)\n", " self.mal_E = self.mal_y*((γ*h+δ)/s)**(α/(1-α))\n", " \n", " if display == True:\n", " return(f'steady-state capital-output ratio κ: {self.mal_κ:.2f}')\n", " return(f'Malthusian rate of population growth n: {self.mal_n: .2f}')\n", " return(f'Malthusian standard of living y: {self.mal_y:.2f}')\n", " return(f'steady-state efficiency-of-labor E: {self.mal_E:.2f}') \n", " else: \n", " return(self.mal_κ,self.mal_n,self.mal_y,self.mal_E)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAMCCAYAAACvFJoyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeXxU1f3/8dcnCUvAsEcQQgAhLAFFSqTuuxa/ooJIVWiVttatfF1B6/K1Sm2rVqk/qtalUrWF2hZXcLcVLFqRoKCAUEGDbGLYErZAls/vj3uDwzBJZsJAYng/H495ZObcc889d+bmzGfOPfdcc3dERERERCR+KXVdARERERGRbxsF0SIiIiIiCVIQLSIiIiKSIAXRIiIiIiIJUhAtIiIiIpIgBdEiIiIiIglSEC1Sz5jZaDNzMxud4HpuZjP2Ta0SY2Zdw/o8Wdd1qc/M7KTwfbpjL8up1TGTLPXp2Ku0v47Bun7vRaTuKIgWqUb45ehmVmFm3avJ93ZE3tH7qC4FZlawL8o+UNSnz7M+M7MjzWyymS03sx1mVmxmy8xsmpndaGbN67qO+0uyfujsTxGBfeRjR/h5Tjaz/nVdR5GGIK2uKyDyLVBG8L/yE+CW6IVmlgOcGJFPYBXQByiq64rEoM+zGmb2A+ApwIB/Ac8D5UA3IA8YAjwHLI1YrQ+wbf/WtN54HngfWFPXFYlhPvBC+LwFcCwwEhhuZqe6+7t1VjORBuCA+4IQqYW1BF+QPzKz2929LGr5pQQBx3Rg6P6uXH3k7qXA4rquRxX0eVbBzJoBDwEOnOHu/4yR5xhgXWSau9fXz3qfc/ci6uePRYB57n5HZIKZPQJcDtwFnFwXlRJpKDScQyQ+jwMdCHrhdjGzRsAlwHvAwlgrmtlAM/t/ZjbfzDaYWYmZfWZm95tZ65o2XHk6GegCdIk6RftkjPztzOwxM1sTnsJdaGY/ipGv2rGcsca5mlmGmf2fmS0IT/FvDk/z/83MBkbkizke1cx6mtndZpZvZoURp5gfM7OsqvbdzO4wsyPM7GUz22Rm28xsZhjQ1UatP88wX46ZPW1mq8xsp5mtDl/nVJG/vZk9YWZrzWy7mc0zs0uqq6CZtTGz35jZp+E6RWb2TzM7I+G9jV8/gh7LBbECaAB3f8/dN0XVNdaxckeYfpKZXWRmc8PPbbWZTTCzJmG+U8xsRng8bTSzP5tZ2+jtxtpGxLInw+Vda9rBRI7B8Ph9O3z5i6j/vZPCPFX+H4X/+8+a2dcR23nYzA6pbh/M7HIz+yRsK9aGdWtZ077F6Ynw75Ex6jAjbGv2UNV+WjjMzMyamdlvzezLcF+XmtlNZmZJqrdIvaOeaJH4/BWYQNBL+UJE+jlAe+DnQI8q1v0pMAyYCbwFpALfAa4HzjSz77r75mq2XQDcCVwbvn4gYtm8qLytgHeBncBUoClwPjDJzCrc/alqtlOt8MvwNeAY4D/AHwmGPHQGTgL+DcytoZjzgCsIApP3wnr2JXhfzzazPHdfFWO9PODGiO1mA8OBf5rZEe6+JMHdqfXnaWZHEnyOGcBLwCKgNzAKONeC0+T5Efnbhvt6KDArfBwCPAK8UcU2ugAzgK4E7+trQHOCoP81M7vc3R+vaSfDgOdPwFPuPrqm/MD68G9HM2vu7lvjWKcm/wucSfA+zwDOAK4D2pjZi8AzwMvAYwTH1g+AduE6+0Iix2DlsXEJwf/vjIhyCqrbiJkNAZ4lOKsxFVgODASuJDhOjnX3WGXcC3wPmEZwfJxM0Ib0AE6Jfzerrlr4tzQJZVVqRFDXjsCrBO3CUOBugjboziRuS6T+cHc99NCjigfBae2V4fPKoDErYvlrBKdymxGcHnVgdFQZXYDUGGX/JMx/U1T66CrKKQAKaqirh/VMjUjPDeu9KJ7tRJU3I+L1YWHa8zHypgCtI153DfM+GZWvE9AkxvpnEIy7/UNU+kkR+xX9flwepj+8vz5PggDk0zB9VFTZF4Tpi4GUiPTHwvTfReXPIwhkHLgjatkMoAK4MCq9FcEPp+1A+ziOmcr0J2t6byL274NwnXnAz4ABQOM43tcZUWl3hOlFQJ+I9CYEvfzlBEH7iVHH0ZvhekfUtI2IZU+Gy7vuw2Pwjiq2vcd7DxxEMOSlHDg+Kv9NYf43qtiHL4HsiPQ04J1w2aA4P8cqP3eCszAOTIuxbAbg8e5nmF4Qpr8CpEekHwxsCh+N4v0f1UOPb9NDwzlE4vc4QS/yj2FXb+HpwGR3r/KiKndf7u7lMRZNAooJep2SZRtwfeT23H0RQe90HzPLSMI2tkcnuHuFu2+saUV3X+XuO2Kkv0EQWFX1Xrzr7k9GpU0iCIIH1Vjj2GrzeR5D0Ov8H3efHLnA3f9G0MvcCzguLLMRQQ/1ZoKgMjJ/PrBbGeE6/QkubHzW3Z+JWmcT8AuC3r3hcezj8wQX/d0cR17c3QnOXMwA+gMPAh8CW8xsdnh6vkU8ZUWY6O6fRmxjB/A3goD5ZXefGbGsAvhL+HKfzCCxF8dgIs4F2gJ/c/d/Ry27nyDwPN3MsmOsO97dv4yoVxnB2QRI/Fg/IhxWc0c4hGYOQY/7auCGBMuqydXuvqttcPevgReBlgT/EyINjoZziMTJ3Web2SfAj83sLoIvoxSCYKxKYSB1OXAhQa9wS3a/HqFTEqv5mbsXx0hfEf5tRRDQ1cYigt7Ji8KA80WCoDHf3XfGU0A4JGQUQa9Wf6A1QSBbqapy8qMT3L3UzNaGZSSslp/nd8K//6pi+b8IAugBBL2HvQl6tf/twQVo0WYQDBWIdHT4t6XFnlYtM/zbp5p6ArW76C0M4E42sz4EPyryCIK3ysdVZnaSu38RZ5F7fHYEQRzEHv5TOZRijzHyybAXx2AiqjxO3L3MzN4h6CkfQNDzHCnW+1X5/5vosd6fPX+MfEnQOx693b1R5O5LY6TXtt4i3woKokUS8zgwERgM/AiY6+4f1bDO3wjGRH9OEHh+BVT2hF1LcHo7WTZVkV45A0VqFctr5O7lZnYKcDtBb+U94aLNZvYUcLO7b6mhmAkE+7wGeJ0gYKrsvRpNMPQllur2q9b7ROKfZ+XFXVVNZ1aZ3ioq/9oq8n8VI63yorrTw0dVDqpm2V4Le4939SCbWW+C3v+jgd8R/8wlsYL4sjiWNYqz/ETV9hhMRKLHSaRYx3pt/3+fcvfR4Q+HgwmGkN0FTDOzo6s7g5agfdbuiNRnCqJFEvNnguDxUYIe5PHVZTazPIIA+i3gfzyY+q1yWQrBxXJ1pSL8u0c7YGaxvtwJh2xcB1xnZj0Ihh1cDowhCAh+WNXGzOxg4GpgAXCMR11MaWYX1WIf9lZCnyffBH0dqlh+SFS+yr/tq8gfq5zKda5x94k11Ge/cffFZvZDgvmhk3GBW8JVoOrvrJjHa7T9eAwmepzsU+EwnbXAry2YEWgsQTB9fVTWCgAzS/M9p36M6z0WOZBoTLRIAsIxqVMJTjVvJZjloTqVMzy8FBlAhwYB6Qlsvpzk9uhUjmHuHGNZXk0ru/tSd3+CIJDeQjAOtDqHErQ5b8QIXrLC5ftVLT7Pyl7qk6pYXpn+Yfh3McE49SOqmKIsVjnvh3+Pr6EudaHyc6uLacs2EuNYNbNU4Ig4y6jNMVh5fUEi/3tVHidmlkY4Zp5vjpP9aTxQCIwxs25Ry/aqTRA50CiIFkncbQS9y9+L/iKOoSD8e1JkYtgj9lCC210PZJpZIoF3dfIJep5GWnCTjcq6tSGYZms3ZtbNzPrGKKc1wZCUPS44jFIQ/j0uDHwqyz2IYFhFXZ0ZS+TzfBdYQrAP50cuCF+fAPyXYKw44Q+nyQTT4d0RlT+PYGzubsILDv8NnGdmP45VCTM7LDyGqmVmLc2sd6x5iavI383Mro4V8IdDAm4NX74TT3lJ9gGQbXvOk30b8Q/BKAj/JnIMVk77F+siwKq8AGwguH7gqKhl1xIE628leVxyXMJj/B6C4TJ3RC3+IPz708hEMzsVqIszRSL1moZziCQo/OKL98tvDkHgdZ6ZvUcQXLUnmAN3Cd9cYBWPfxLcIOG18MKkHcB8d5+WQBm7uPsaM5tMMARjnpm9THCjjf8hCJIGRK3SH3jezOYSnA5fTXCR27kEX8j3UA13/8rMniG4wHKemb1BMHb0dKCE4KLFeHsUkyaRz9Pd3YKbpLwJ/C2c53gxwewDQwl6ai8OZ5modAtwKnBtGDhXzhN9AcG0YOfE2NRIgovSnjCzq4HZBONOs4DDCW6KcjTwdQ1VHkY4TzTBeN+atAT+H/BbM3uX4HPeTDCe9hSC4O9rkj+zQzzuI5g540Uz+xtBkHoMwe3IZ1D12YFdankMLiEYN32hme0kOFYc+LO7L69iO1vCH0D/AGaa2T/C9QYSTKX3FcEwqLryMMFn+AMzuyecwQeCY2UccHM4S8wioCdBe/U88c0II3LAUE+0yD4UTjV3DvAHghsRXE1wKvePBAFBIjc8uIvgBh3dCaYs+yV7/6X2U4LgpBnBnMAnElxot0cPKUHP9W8IgvfBBF/CZxLMsPA/7j4hju39BPg1wTCWnxG8B9MJgqH6euvk3bj7bIIfM1MIAtlxBPX/K3BkuDwy/zrgWIIApTdBT+QRBDfd+F0V21hJEHDdSjCcYBTBsXMMQTB2OfBJkncNggsJhxHc1a4VQaB/I/B9giD+10A/r4PbfHtwB8WhBNPQXUgwq0kBwbComMFsFRI6BsP/4WEEP36+T3DjkF8SBO/V1fdFgs/9lXAbYwlmVHkEGOjunydQ56QKp6L7DUEM8MuI9K8J2oBXCc6qXMk3PzKm7/+aitRvFlxvICIiIiIi8VJPtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJCitrisgIgemuXPnHpyWlvZHoB/6QS8NSwWwoKys7NKBAwd+XdeVEZF9Q0G0iNSJtLS0P3bo0KFPZmbmxpSUFK/r+ogkS0VFhRUWFuZ+9dVXfwTOqev6iMi+od4fEakr/TIzM4sVQEtDk5KS4pmZmUUEZ1lEpIFSEC0idSVFAbQ0VOGxre9YkQZM/+AickBasmRJ45ycnL51XY/96dprr+34wgsvZNRm3cmTJ7e85ZZbOlSXp6CgoNHgwYMPBXjvvffS//a3v7VMZP2JEye2vfjii7NrU79EHX/88Tm9evXK7dGjR9+RI0dml5WV7ZGnoqKC0aNHd87Ozu7Xs2fP3FmzZjWrXPb73/++bZcuXfp16dKl3+9///u2+6POIlK/aEy0iHwrfPTlxvTpH69utXpTSeOOrZruHHJ4x00Dsltvr+t6fVuUlZXxwAMPrK7t+qNGjSoCiqrL07Vr19LXXnvtc4D8/Pxm+fn5zS+44IKieNffn1588cVlbdq0qaioqODMM8/sPmnSpNaXXXbZxsg8//jHP1p+/vnnTQsKCha8/fbbza+66qrsjz/+ePHatWtT77nnno5z585dlJKSwoABA3IvvPDCTZmZmeV1tT8isv+pJ1pE6r2PvtyY/sjMZe2LtpeldWjZtLRoe1naIzOXtf/oy43pe1NuWVkZ5513XteePXvmDh48+NDNmzenAIwdO/aQfv369cnJyel70UUXdamoqADgrrvuOrh79+59e/bsmTtkyJBDAYqLi1NGjBjRtV+/fn369OmT+5e//KVV9HaWL1/eKC8vr1fv3r1zc3Jy+r722msHAUydOrVFbm5un169euUeffTRPasrb+LEiW3POOOM7scff3xOly5d+l1xxRVZleWPGjUqu1+/fn169OjR97rrrutYmd6pU6fDxo4de8jAgQN7TZo0qfXw4cO7/ulPf2oN8OKLL2b06dMnt2fPnrkjRozoun37dqvuvYrsJR4+fHjX0aNHdx4wYEDvrKyswyrLrOzdLykpsd/85jcdp02b1rp37965jz/+eOvI9adMmdLy8MMP792nT5/cY445pueKFSuq7dC5/vrrO95+++3ty8vLOfvss7vdddddB9fw0daoTZs2FQClpaVWWlpqZnvu/osvvthq1KhR61NSUjj11FO3FhcXpy1fvrzRCy+80PKEE04obt++fXlmZmb5CSecUPzcc8+13KMAEWnQ1BMtInXul9MXdaxu+ZyCDQftKCtPaZKWumsM9Y6ycvvFSws7H9m1zZaq1vu/IbnV9rwWFBQ0ffTRRwvOOOOMrSNGjOj629/+NnP8+PFrx40b9/V99923BmDo0KHdnnnmmZYjR44smjhxYofly5d/kp6e7uvWrUsFuOWWWw45+eSTi//xj38UrFu3LjUvL6/POeecU9yiRYuKyu1MmjSpzamnnlp0zz33fFVWVsbmzZtTVq9enTZmzJiuM2bMWNy7d++da9eurbY8gEWLFjWbP3/+ovT09IoePXr0Gzt27NoePXqUTpgwYVX79u3Ly8rKOOaYY3rNnj07/bvf/e52gKZNm1bMnTt3CcDrr7/eEmDbtm12+eWXd3vjjTeWHH744TuGDRvW9be//W3m7bff/vW1117b8cgjj9wa9hxXae3atY3y8/MXz5s3r+mwYcN6/OhHP9rVi9u0aVO/+eabV+fn5zd/+umnv4QgCK9cfvrpp2+58MILF6ekpDBhwoR248eP7/D444+vrG577s6oUaO69O3bd/ttt922x7Rx06ZNyxg3blzn6PT09PSKjz76aHGsMo877ricjz/+uPmJJ55YFFn/SmvWrGnUtWvXnZWvDznkkJ3Lly9vtGrVqkZZWVm70jt16rRz1apVjaqrv4g0PAqiRaTe27qjLLVZ49SKyLTGqSm+dUdZ6t6U26FDh51nnHHGVoAf/vCH6ydOnHgwsPbVV1/NmDBhQoeSkpKUTZs2peXm5m4Hinr16rV92LBh3c4555xNo0aN2gQwY8aMFq+//nqriRMndgDYsWOHLV26tPF3vvOdksrtHHXUUVsvv/zyrqWlpSnnn3/+xmOOOWb7q6++mjFo0KDNvXv33gnQvn378urKAzjuuOOK27ZtWw7Qo0ePkmXLljXp0aNH6VNPPdXmySefbFdWVmaFhYWN5s+f37QyiL744ov3CA7nz5/fNCsra8fhhx++A2D06NHrH3rooYOBr+Md8nHOOedsSk1NZeDAgSXr169PKID84osvGg8dOjSrsLCw0c6dO1M6d+68o6Z1Hn/88falpaVWUFDwSazlZ5999uazzz57USL1mDVr1mfbtm2zYcOGHTpt2rQWw4YNK45c7r7nda9mVmW6iBxYFESLSJ2rqccY3Iu2l6W1TG+0a8xp0fbS1JbpaWX/NyR3TW23Gx34mBnbtm2zG264ocvs2bMX9ejRo/T666/vWFJSkgLw9ttvf/bqq69mvPDCC63uvffejp999tkCd2fq1KlL+/fvX2UgeOaZZ2555513ljz77LMtR48e3e3qq69e27p167JYgVdV5c2aNat548aNd0VvqampXlpaaosXL2784IMPtp87d+6nmZmZ5cOHD+9aWV+AjIyM3X58VG5jbzVt2nRXIYmWN2bMmOxrrrnmq1GjRhVNnz49Y/z48dWeiYDgB0Tnzp13/u///m+nJ598ckX08tr0RAM0a9bMhwwZsun5559vFR1Ed+zYsbSgoKBx5es1a9Y0zs7OLs3KyiqdOXPmrgs0V61a1fjEE0/cXNM+iEjDojHRIlLvDTm846bNJaWpRdtLUyvcKdpemrq5pDR1yOEdN+1NuWvWrGn81ltvNQeYMmVKm2OOOWbLtm3bUgA6dOhQVlRUlDJt2rTWAOXl5Sxbtqzx2Wefvfnhhx9euXnz5tSioqLUk08+ufj+++9vXzlu+t13391jnPZ///vfxp06dSq94YYb1v3gBz9Y9+GHHzY7+eSTt86ePTtj8eLFjQEqh3PEU16kjRs3pqanp1e0adOmfMWKFWkzZsyocWzuEUccUbJq1arGCxYsaALw9NNPtz3++OOTGgS2aNGifMuWLTG/YzZv3pyanZ1dCvDkk0/GNbNFbm7u9rvvvnvN+++/n1E5pjzS2WefvXnx4sWLoh+xAuiioqKU5cuXNwIoLS3ltddea9m7d+89LlI955xzNk2ePLltRUUF//znP5tnZGSUd+nSpXTo0KFFM2fObFFYWJhaWFiYOnPmzBZDhw6tNxdNisj+oZ5oEan3BmS33n7Fid3XRs7OMeq72ev2dnaOQw89tGTSpEltr7rqqi7dunXbMXbs2MKMjIyKUaNGFebm5vbNysra2b9//60AZWVlNnLkyG6bN29OdXe7/PLL17Zr16787rvvXn3ZZZdl9+7dO9fdLSsra8fbb7+9NHI7r7/+esbEiRM7pKWlebNmzconT578RceOHcsmTpxYMGzYsB4VFRW0bdu29L333vssnvIiHX300dv79eu3LScnp292dvaOgQMHVjlGvFKzZs38kUceKRgxYkT38vJy+vfvv23s2LGFEEyDF8+Y6JqceeaZm++7775DevfunXvDDTfsdrbg1ltvXX3RRRd1b9++/c68vLytX375ZZN4ymzSpIk/9thjBZdcckm3jz/++NNYvezxKC4uTjnrrLN67Ny50yoqKuzYY48tHjduXCHAvffemwlw4403Fn7/+98vevnll1t26dKlX3p6esUf//jHAgiG3owbN271wIED+4R5V1cOxxGRA4cl47SeiEii5s+fX9C/f/91dV0PkX1l/vz57fr379+1rushIvuGhnOIiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiETp1KnTYWvWrElbt25d6t13351Z1/Wpzr333pv54IMPxnXDkmjvvPNOs9GjR+9xl79oAwYM6A2wZMmSxo888kibRNafPn16xsknn9yjNvVL1Pe///0uvXr1yu3Zs2fu4MGDDy0qKor5HXfzzTd3yM7O7te1a9d+zz77bIvK9KlTp7bo2rVrv+zs7H633HJLh/1RZxH59tI80SJSJxKeJ3rlnHQWPNeKolWNadlpJ/3O20TWkXt1s5WqdOrU6bD8/PxPi4uLU4YMGZLz2WefLdwX29lbpaWlNGrUaL9tb/r06Rn3339/++pu/pKMdWprw4YNKW3atKkAuPTSS7MOPvjgsl//+tdfReaZO3du05EjRx46b968T5cvX97o9NNP7/nFF18sAOjWrVu/119//b+HHnpoaf/+/ftMmTLl84EDB5bUtj6aJ1qkYVNPtIjUfyvnpDPrgfaUFKXR4pBSSorSmPVAe1bOqfaW2DU57bTTuvft27dPjx49+t53333topffcMMNWStWrGjSu3fv3MsvvzwrcllxcXHKSSed1KNXr165OTk5fR9//PHWADNnzmw2YMCA3r169co97LDD+mzcuDGlrKyMyy+/PKtfv359evbsmfvb3/62HQQB5qBBg3oNHjz40G7duvU955xzulXe7nvs2LGH9OvXr09OTk7fiy66qEtl+qBBg3qNGTOm05FHHtnrrrvuan/99dd3vP3229sDvPfee+n9+/fv3bNnz9zTTz+9e2FhYWp1+x/ZS3z99dd3HDFiRNdBgwb1ysrKOuyuu+46uDJfs2bNBgDceuutnfLz8w/q3bt37p133nlw5Ppvv/12swEDBvTu06dP7oABA3rPnz+/2rsQTpw4se3FF1+cDXDllVd2uvTSS7Oqyx+PygC6oqKC7du3p5jZHnmmTp3a6rzzztuQnp7uvXv33tmlS5cdM2bMaD5jxozmXbp02ZGbm7uzadOmft55522YOnVqq72tk4g0XLrtt4jUvddu7ljt8i/fP4iyHSmkNfnm1FnZDuOVGzuTfVTVt7ke/JvV1RU7efLkgvbt25dv2bLFBgwYkPuDH/xgY4cOHXbdvvn+++9fOWTIkPTFixcvil73ueeea9GhQ4fSGTNmLAVYv359aklJiY0aNar75MmTl5144onbNmzYkHLQQQdVPPDAA+1atmxZvmDBgk+3b99uRx55ZO+zzz67GODTTz9Nnzdv3uddu3YtHThwYO8333zzoO9973tbxo0b9/V99923BmDo0KHdnnnmmZYjR44sAti0aVPqnDlzlkAQ/FbWafTo0d1+97vffXnWWWdtufbaazvedNNNHSdNmrQi8lbW1b0fS5cubfree+8t2bRpU2qfPn36jRs3rrBJk2/e81/96lerInuVp0+fnlG5rH///iUffPDB4kaNGvHCCy9k3HjjjVmvv/76suq2BzBu3LhDioqK0qZMmbI8etn8+fObXHDBBd1jrTdr1qwl7dq12+NW2+eff37Xt99+u2WPHj22P/LIIyujl69atarxUUd9c8x07Nhx54oVKxoDdOrUaWdlelZW1s7Zs2cfVFP9ReTApSBaROq/HZtTaXxQxW5pqY2dHZur7WmtyT333NP+5ZdfbgXw1VdfNVq4cGHTDh06bI1n3e985zvbb7311s5XXnllp3PPPbdo8ODBWz744IP0gw8+uPTEE0/cBt/0jL711lstFi9e3Oyll15qDbB58+bURYsWNW3cuLEfdthhW7t3714K0Ldv323Lli1rDPDqq69mTJgwoUNJSUnKpk2b0nJzc7cDRQAXXXTRhuj6rF+/PnXz5s2pZ5111haAn/70p+tHjBhxKNQcPFc644wzNqWnp3t6enpZmzZtSleuXJlWWbeabNiwIfWCCy7oVlBQ0NTMvLS0dM9u4ChvvPFGq40bN6YtXrz4k1jL+/fvvyPWD5jqTJ06taCsrIzRo0dnT5o0qfU111yzPnJ5rCGMZuYVFRV71NfMNN5RRKqkIFpE6l4NPcaAU1KURtOW3/Q8lhSl0rRlGYN/s6Y2m5w+fXrGzJkzM/Lz8xdnZGRUDBo0qNf27dvjHuJ2+OGH7/jwww8XPfvssy1vvfXWTm+99VbxiBEjNsUKvNzd7r///i+HDx9eHEgKzTYAACAASURBVF2HyJ7e1NRUysrKbNu2bXbDDTd0mT179qIePXqUXn/99R1LSkp21S0jI2P3HxRJEqsu8a570003dTrxxBM3v/nmm8uWLFnS+JRTTulV0zqHHnpoyYgRIzb85Cc/6fKvf/1rjzHTtemJBkhLS+Oiiy7acN9993WIDqKzsrJ29TwDrF69unFWVlYpBL3UlekrV65s3LFjx7h+QIjIgUljokWk/ut33iZKilIpKUrFK9j1vN95m2pb5KZNm1JbtmxZnpGRUfHRRx81nT9/fvPoPC1btizfunVrzHayoKCgUUZGRsVVV1214dprr107b968Zv379y9Zu3Zt45kzZzYD2LhxY0ppaSmnn3560R/+8IfMHTt2GMDHH3/cpLi4uMr2d9u2bSkAHTp0KCsqKkqZNm1a65r2p23btuUtWrQof+211w4CeOKJJ9oeffTRVQ91qYWWLVuWb9myJWbvf3FxcWpWVtZOgEcffXSP8eWx9OjRo+S6665bV1paag8//HCb6OWVPdGxHtEBdEVFBQsWLGhS+fzFF19slZOTs8dFgcOHD9/03HPPtdm+fbstXry4cUFBQdOTTjpp64knnri1oKCg6eLFixuXlJTYc88912b48OG1Pr5EpOFTT7SI1H9ZR27nuGvX7jY7R96P1u3N7BzDhw8veuyxxzJ79uyZ271795L+/fvvMYyjQ4cO5QMHDtySk5PT95RTTil69NFHd42xnTt3bvrNN9+clZKSQlpamj/88MPLmzZt6pMnT1529dVXZ5eUlKQ0bdq04p133vnvddddt66goKDJYYcd1sfdrU2bNqWvvPJKleOF27VrVz5q1KjC3NzcvllZWTtj1S2WP/3pT19ceeWVXa6++uqU7OzsHX/9618LIJgGD+If1lGVQYMGbU9LS/NevXrljhw5ct3AgQN3vf833XTTV5deemm3iRMndjj++OOLqysn2qRJk5afdNJJvYYMGVKcnZ1dVpu6uTsXX3xxty1btqS4u/Xp02fbk08+uRxg8uTJLefMmdP8gQceWJ2Xl1cydOjQDT179uybmprKhAkTlqelBV+F999//5eDBw/uWV5ezsiRI9fl5eXVemYOEWn4NMWdiNSJhKe4E/mW0RR3Ig2bhnOIiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIjUlYpYc/OKNAThsb1PpiIUkfpBQbSI1JUFhYWFLRVIS0NTUVFhhYWFLYEFdV0XEdl3NMWdiNSJsrKyS7/66qs/fvXVV/3QD3ppWCqABWVlZZfWdUVEZN/RFHciIiIiIglS74+IiIiISIIURIuIiIiIJEhBtNQZMxtlZm/sxfozzExjDmtgZgvN7KS6roeI1G9mdpeZrTOzr8LXw8xshZltMbMB8bYlYf5D93mFk8DMepnZR2a22cyuTmK5T5rZXckqT+onBdFSIzMbaWb5YcO4xsxeNbPj9rZcd5/s7mdEbMfNrMfelhtRnpnZODP7zMy2m9mXZna3mTVJoIxk16na8sxstJmVh+91sZnNN7MhCZS/R8Pt7n3dfcZeVFtEGgAzKwjbwi0RjwfDZZ2BG4Bcd+8QrnIfMMbdD3L3j+JtS8L8n++zHUmuG4EZ7p7h7hOjF6qzRqqjIFqqZWbXAw8AvwbaA9nAw8C5dVmvOE0ELgMuBjKAM4FTgL/XZaXi8B93PwhoRfBeP2Nmreq4TiLSMJwdBrmVjzFhehdgvbt/HZG3C7Bw/1dxv6rX+xh2BilWq6f0wUiVzKwlMB74mbs/5+5b3b3U3ae5+7gwzyAz+4+ZbQp7qR80s8YRZbiZXW1mn4enCX9b2SCEva6zwufvhKvMD3tHLjCz1mY23cwKzWxj+DwrzrrnAFcBo9z9P+5e5u4LgeHAYDM7Jcy3Wy9DHHU6ycxWmtkt4f4UmNmoiPUTKq+6fXD3CuDPQHMgJ6LMf5jZV2ZWZGbvmFnfMP0yYBRwY1j+tDC9wMxOC583MbMHzGx1+HggkZ55EWl4wvbhTaBj2Hb81cy2AKkE7dWyMF9kW5IatoPLwqEQc8Pe7N3OuIVtzn3hmcC1ZvaImaWHyyrb0xvM7OvwO+RHEfVKN7P7zWx52N7NCtNeNrP/jdqHj81saBX7d44FQ1E2hW10nzD9X8DJwIPhfvdM8H2L2RZHaGdmb4bvz0wz6xKx7jFmNidcd46ZHROxbIaZ/crM3gW2Ad+KoTEHIgXRUp2jgabA89XkKQeuA9qF+U8lCF4jDQPygO8Q9GD/OLoQdz8hfNo/7B35G8Hx+SeCnoJsYDvwYJx1PxVY6e4fRG1nBfA+cHpNBVRRJ4AOBPvbCbgEeMzMeu1FeTGZWSrwI6AUWB6x6FWCoPpg4ENgclj+Y+Hze8Pyz45R7K3AUcARQH9gEHBbTXUXkYbL3d8iOFO3Omw7LgrPhkHQXnWPsdr1wEXA/wAtCNr1bTHy3QP0JGhzehC0m7dHLO8AtAzTfwI8ZGatw2X3AQOBY4A2BEMvKoCngB9UFmBm/cP1X4neeBgY/xW4FsgM80wzs8bufgrwb74ZsvLfKt+k2GK2xRFGAb8k+L6YV7nczNoALxOcLW0LTABeNrO2Eev+kOBMaga7t/9SjyiIluq0Bda5e1lVGdx9rru/H/b0FgCPAidGZbvH3Te4+5cEQ0Muimfj7r7e3Z91923uvhn4VYyyq9IOWFPFsjXh8r3xf+6+w91nEjSG39/L8iIdZWabgBKCL5EfRJ5idfdJ7r7Z3XcAdwD9LThrEI9RwHh3/9rdC4E7CRprETkwvBD2yFY+flrLci4FbnP3JR6Y7+7rIzOYmQE/Ba4LvwM2EwwNvDAiWylBm1Tq7q8AW4BeFpyx/DFwjbuvcvdyd38vbPdeBHLCM44QtGF/c/edMep5AfCyu7/p7qUEbWo6QWC+V+Joi19293fC5bcCR4e99WcBn7n7n8Pvzr8Ci4HIjo8n3X1huLx0b+sq+4aCaKnOeoLTUVXe2dLMeobDLL4ys2KCBjI6QF0R8Xw50DGejZtZMzN7NDyVVwy8A7QKe2ij8y60by6UOR5YBxxSRdGHhMtra6O7b414Hfc+xel9d28FtAZeAo6vXBCeQr07PIVaDBSEi+L9UdCR3Xs1kl13Eanfhrp7q4jH47UspzOwrIY8mUAzYG5l0A68FqZXWh/VUbMNOIigTWsaaxthUPp34AdhsH0RwdC3WHZr88JhcisIeq5rLc62eNd3n7tvATaE9YluhwlfR9ZpBVLvKYiW6vyHoDc05jiz0B8IfkHnuHsL4BbAovJ0jnieDayOc/s3AL2A74ZlVw6HiC6/cgaKygtl/g38C+hsZoMi84W9AEcB/wyTthI08pU6ULPWZtY84nXkPtWmvJjCRvcq4IdmNiBMHkkwJOY0glOgXcP0yvekpluQriYYHlMpkc9DRKTSCiDWMI9I6wiG4fWNCNpbRgwVqWndkmq28RTBmbVTgW3u/p8q8u3W5oW9452BVXHUoTo1tcUQ8d1nZgcRDElZHV2nUHZUnXQ76W8BBdFSJXcvIhi79pCZDQ17hhuZ2Zlmdm+YLQMoBraYWW/gyhhFjbPgIsHOwDVAVWOB17L7BRQZBA3wpnAM2S8SqPt/gUeAyWZ2VNhr0Bd4FngrHAMIwTi188J960EwJq+6OlW608wah73eQ4B/7GV5Ve3HeuCPfDOGMAPYQXCWoBlBz38i5f8VuM3MMs2sXVjuX+Ktj4hI6I/AL80sxwKHR43prez1fRz4nZkdDGBmnczsezUVHq47CZhgZh3DNvxoCy+EDoPmCuB+qu6FhqDH+iwzO9XMGhF0zuwA3ktgX9PMrGnEoxE1t8UA/2Nmx1lwsf0vgdnhdTmvAD0tmD42zYKLzHOB6QnUSeoBBdFSLXefQHAByW1AIUHvwxjghTDLWIJf5JsJGstYAfKLwFyCAPNl4IkqNncH8FR42u/7BOOn0wl6JN4nOA2YiDEEDf1fCMbZvQbMIJiho9LvgJ0EwedT7HlhSHSdAL4CNhL0JkwGrnD3xXtRXk0eIGiMDweeJjjttwpYRPC+RHoCyA3Lf4E93QXkAx8DnxBcDKMbAogcOKbZ7vNEV3fheHUmEASobxB0pDxB0F5HuwlYCrwfDnt4i+AMYzzGErRTcwiGQtzD7nHL08BhVNMR4O5LCC5C/D3Bd8nZBNP8xRo/XZU/EHToVD7+RM1tMcAUgs6fDQQXSI4K67SeoPPlBoIg/EZgiLvvzTBDqQPmrjMGsu+YmRMM9Vha13VJBgvu1vUXd49rqj0REdk3zOxi4DJ33+ubf4nUhnqiRURE5FvFzJoRXDPyWF3XRQ5cCqJFRETkWyMcU11IMGxuSh1XRw5gGs4hIiIiIpIg9USLiIiIiCSoypto1Gft2rXzrl271nU1REQSNnfu3HXunllzzoZDbbaIfJtV1W5/K4Porl27kp+fX9fVEBFJmJlF36mswVObLSLfZlW12xrOISIiIiKSIAXRIiIiIiIJUhAtIiIiIpKgvQ6iw/vIf2Bm881soZndGSPPCWb2oZmVmdn5UcvKzWxe+Hhpb+sjIiIBMxtsZkvMbKmZ/TzG8ivM7JOw/Z1lZrlhelcz2x7RNj8Ssc7AcJ2lZjbRzGx/7pOISH2RjAsLdwCnuPsWM2sEzDKzV9098j7yXwKjgbEx1t/u7kckoR4iIhIys1TgIeB0YCUwx8xecvdFEdmmuPsjYf5zgAnA4HDZsira5j8AlwHvA6+E+V/dN3shIlJ/7XVPtAe2hC8bhQ+PylPg7h8DFXu7PRERicsgYKm7f+7uO4FngHMjM7h7ccTL5kS13dHM7BCghbv/x4M7dT0NDE1utUVEvh2SMibazFLNbB7wNfCmu89OYPWmZpZvZu+bmRpjEZHk6ASsiHi9MkzbjZn9zMyWAfcCV0cs6mZmH5nZTDM7PqLMlTWVKSJyIEhKEO3u5eFpvyxgkJn1S2D1bHfPA0YCD5hZ91iZzOyyMNjOLywsTEKtRUQatFhjlffoaXb3h9y9O3ATcFuYvIagbR4AXA9MMbMW8ZYJarNFpOFL6uwc7r4JmME3Y+riWWd1+PfzcN0BVeR7zN3z3D0vM/OAutmXiEhtrAQ6R7zOAlZXk/8ZwqEZ7r7D3deHz+cCy4CeYZlZ8ZSpNltEGrpkzM6RaWatwufpwGnA4jjXbW1mTcLn7YBjgUXVryUiInGYA+SYWTczawxcCOw2A5KZ5US8PAv4LEzPDC9MxMwOBXKAz919DbDZzI4KZ+W4GHhx3++KiEj9k4zZOQ4Bngob3BTg7+4+3czGA/nu/pKZHQk8D7QGzjazO929L9AHeNTMKsJ17466clxERGrB3cvMbAzwOpAKTHL3hZFtMzDGzE4DSoGNwCXh6icA482sDCgHrnD3DeGyK4EngXSCWTk0M4eIHJAsuMD62yUvL8/z8/PruhoiIgkzs7nhdSAHDLXZIvJtVlW7rTsWioiIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIiIiIhIghREi4iIiIgkSEG0iIiIiEiCFESLiIiIiCRIQbSIiIiISIIURIuIiIiIJEhBtIhIA2Vmg81siZktNbOfx1h+hZl9YmbzzGyWmeVGLc82sy1mNjYirSBinfz9sR8iIvVRWl1XQEREks/MUoGHgNOBlcAcM3vJ3RdFZJvi7o+E+c8BJgCDI5b/Dng1RvEnu/u6fVNzEZFvB/VEi4g0TIOApe7+ubvvBJ4Bzo3M4O7FES+bA175wsyGAp8DC/dDXUVEvnWSEkSbWVMz+8DM5pvZQjO7M0aeE8zsQzMrM7Pzo5ZdYmafhY9LklEnEZEDXCdgRcTrlWHabszsZ2a2DLgXuDpMaw7cBOzRlhME2m+Y2VwzuyzptRYR+ZZIVk/0DuAUd+8PHAEMNrOjovJ8CYwGpkQmmlkb4BfAdwl6Tn5hZq2TVC8RkQOVxUjzPRLcH3L37gRB821h8p3A79x9S4wyjnX37wBnAj8zsxNibtzsMjPLN7P8wsLC2u2BiEg9lpQg2gOVjW2j8OFReQrc/WOgImr17wFvuvsGd98IvMnuY/JERCRxK4HOEa+zgNXV5H8GGBo+/y5wr5kVANcCt5jZGAB3Xx3+/Rp4nqDzYw/u/pi757l7XmZm5t7sh4hIvZS0MdFmlmpm84CvCYLi2XGuGtcpRxERScgcIMfMuplZY+BC4KXIDGaWE/HyLOAzAHc/3t27untX4AHg1+7+oJk1N7OMcN3mwBnAgn2/KyIi9U/SZudw93LgCDNrBTxvZv3cPZ7GNa5TjuHYu8sAsrOz96quIiINnbuXhb3HrwOpwCR3X2hm44F8d38JGGNmpwGlwEagpmtS2hO07xB8f0xx99f22U6IiNRjSZ/izt03mdkMgiEZ8QTRK4GTIl5nATNilPsY8BhAXl7eHkG2iIjszt1fAV6JSrs94vk1cZRxR8Tzz4H+SayiiMi3VrJm58gMe6Axs3TgNGBxnKu/DpxhZq3DCwrPCNNEREREROqlZI2JPgR428w+JhiH96a7Tzez8eEE/pjZkWa2EhgBPGpmCwHcfQPwy3C9OcD4ME1EREREpF5KynCOcNaNATHSI08bziEYqhFr/UnApGTURURERERkX9MdC0VEREREEqQgWkREREQkQQqiRUREREQSpCBaRERERCRBCqJFRERERBKkIFpEREREJEEKokVEREREEqQgWkREREQkQQqiRUREREQSpCBaRERERCRBCqJFRERERBKkIFpEREREJEEKokVEREREEqQgWkREREQkQQqiRUREREQSpCBaRKQBM7PBZrbEzJaa2c9jLL/CzD4xs3lmNsvMcqOWZ5vZFjMbG2+ZIiIHAgXRIiINlJmlAg8BZwK5wEXRQTIwxd0Pc/cjgHuBCVHLfwe8mmCZIiINnoJoEZGGaxCw1N0/d/edwDPAuZEZ3L044mVzwCtfmNlQ4HNgYSJliogcCBREi4g0XJ2AFRGvV4ZpuzGzn5nZMoKe6KvDtObATcCdtSlTRKShUxAtItJwWYw03yPB/SF3704QNN8WJt8J/M7dt9SmTDO7zMzyzSy/sLAwwWqLiNR/ackoxMyaAu8ATcIyp7r7L6LyNAGeBgYC64EL3L3AzLoCnwJLwqzvu/sVyaiXiMgBbiXQOeJ1FrC6mvzPAH8In38XON/M7gVaARVmVgLMjadMd38MeAwgLy9vjyBbROTbLilBNLADOMXdt5hZI2CWmb3q7u9H5PkJsNHde5jZhcA9wAXhsmXhRS0iIpI8c4AcM+sGrAIuBEZGZjCzHHf/LHx5FvAZgLsfH5HnDmCLuz9oZmk1lSkiciBIShDt7g5UnvJrFD6iex7OBe4In08FHjSzWKcFRUQkCdy9zMzGAK8DqcAkd19oZuOBfHd/CRhjZqcBpcBG4JLalLlPd0REpB5KVk905bRHc4EewEPuPjsqy66LUcJGuAhoGy7rZmYfAcXAbe7+72TVS0TkQOburwCvRKXdHvH8mjjKuKOmMkVEDjRJu7DQ3cvDIRlZwCAz6xeVpaqLUdYA2e4+ALgemGJmLaIz6iIVEREREakvkj47h7tvAmYAg6MW7brAJRxT1xLY4O473H19uO5cYBnQM0a5j7l7nrvnZWZmJrvaIiIiIiJxS0oQbWaZZtYqfJ4OnAYsjsr2Et+MtTsf+Je7e7huarjuoUAOweT+IiIiIiL1UrLGRB8CPBUGwynA3919etTFK08AfzazpcAGgiu6AU4AxptZGVAOXOHuG5JULxERERGRpEvW7BwfAwNipEdevFICjIiR51ng2WTUQ0RERERkf9AdC0VEREREEqQgWkREREQkQQqiRUREREQSpCBaRERERCRBCqJFRERERBKkIFpEREREJEEKokVEREREEqQgWkREREQkQQqiRUREREQSpCBaRERERCRBCqJFRERERBKkIFpEREREJEEKokVEGigzG2xmS8xsqZn9PMbyK8zsEzObZ2azzCw3TB8Ups0zs/lmNixinYKIdfL35/6IiNQnaXVdARERST4zSwUeAk4HVgJzzOwld18UkW2Kuz8S5j8HmAAMBhYAee5eZmaHAPPNbJq7l4Xrnezu6/bbzoiI1EPqiRYRaZgGAUvd/XN33wk8A5wbmcHdiyNeNgc8TN8WETA3rUwXEZFvKIgWEWmYOgErIl6vDNN2Y2Y/M7NlwL3A1RHp3zWzhcAnwBURQbUDb5jZXDO7bJ/VXkSknlMQLSLSMFmMtD16lN39IXfvDtwE3BaRPtvd+wJHAjebWdNw0bHu/h3gTOBnZnZCzI2bXWZm+WaWX1hYuLf7IiJS7yiIFhFpmFYCnSNeZwGrq8n/DDA0OtHdPwW2Av3C16vDv18DzxMMG9mDuz/m7nnunpeZmVmrHRARqc8URIuINExzgBwz62ZmjYELgZciM5hZTsTLs4DPwvRuZpYWPu8C9AIKzKy5mWWE6c2BMwguQhQROeBodg4RkQYonFljDPA6kApMcveFZjYeyHf3l4AxZnYaUApsBC4JVz8O+LmZlQIVwFXuvs7MDgWeNzMIvj+muPtr+3fPRETqBwXRIiINlLu/ArwSlXZ7xPNrqljvz8CfY6R/DvRPcjVFRL6VkhJEhxecvAM0Ccuc6u6/iMrTBHgaGAisBy5w94Jw2c3AT4By4Gp3fz0Z9ar07lO302/ZQ2RQVnNmEZE47SSFuZnnc+z/Pl7XVWlQ8l+eRKc5vyCzolhjDkUkaSow/pvWk6bnTeTQfkftdXnJ6oneAZzi7lvMrBEwy8xedff3I/L8BNjo7j3M7ELgHuCC8A5ZFwJ9gY7AW2bW093Lk1Gxd5+6nbxl/49G4XXqsS5XFxGpjSZUcFTh33n39yiQTpL8lyeRM/smMtgJpjZbRJInFad3+RKWT/0Jn/PEXgfSSfmR74Et4ctG4SN6KqVzgafC51OBUy0YWHcu8Iy773D3L4ClVHG1d210+2IyaWFDrMZYRJItxaDfuml1XY0Go+m8STRXAC0i+4gBHX0Na2dP3euyknamzMxSzWwe8DXwprvPjsqya+L/cNL+IqAt8d8QoFZzjmb4FjXEIrJPpfvOuq5Cg9GyrFBttojsU2mUk7p55V6Xk7Qg2t3L3f0IgrlIB5lZv6gsVU38H+8NAWo15+hmOwiPVaCISJJst8Z1XYUGoygtU+21iOxTZaRSnpG11+Uk/ZoNd98EzAAGRy3aNfF/OP9oS2ADid8QICFfdBtFWdgiq2EWkWSrcFjQ7uy6rkaDUXLEj9lKY3C12SKSfA6stkNo/93z97qsZM3OkQmUuvsmM0sHTiO4cDDSSwRzkP4HOB/4l7u7mb0ETDGzCQQXFuYAHySjXgDHXjKed59i1+wcapRFJFk0O0fy5Z31Y/JBs3OISNLV19k5DgGeMrNUgt7tv7v79KhJ/Z8A/mxmSwl6oC8ECCf//zuwCCgDfpasmTkqHXvJeGB8MosUEaEpcGxdV6IByjvrx3DWj+u6GiLSwKQAuUksLylBtLt/DAyIkR45qX8JMKKK9X8F/CoZdRERERER2dd0pkxEREREJEEKokVEREREEqQgWkREREQkQQqiRUREREQSpCBaRERERCRBCqJFRERERBKkIFpEREREJEEKokVEREREEqQgWkSkATOzwWa2xMyWmtnPYyy/wsw+MbN5ZjbLzHLD9EFh2jwzm29mw+ItU0TkQKAgWkSkgTKzVOAh4EyCu91eVBkkR5ji7oe5+xHAvcCEMH0BkBemDwYeNbO0OMsUEWnwFESLiDRcg4Cl7v65u+8EngHOjczg7sURL5sDHqZvc/eyML1pZXo8ZYqIHAgURIuINFydgBURr1eGabsxs5+Z2TKCnuirI9K/a2YLgU+AK8KgOq4yRUQaOgXRIiINl8VI8z0S3B9y9+7ATcBtEemz3b0vcCRws5k1jbdMM7vMzPLNLL+wsLDWOyAiUl8piBYRabhWAp0jXmcBq6vJ/wwwNDrR3T8FtgL94i3T3R9z9zx3z8vMzKxF1UVE6jcF0SIiDdccIMfMuplZY+BC4KXIDGaWE/HyLOCzML2bmaWFz7sAvYCCeMoUETkQpNV1BUREZN9w9zIzGwO8DqQCk9x9oZmNB/Ld/SVgjJmdBpQCG4FLwtWPA35uZqVABXCVu68DiFXmft0xEZF6QEG0iEgD5u6vAK9Epd0e8fyaKtb7M/DneMsUETnQaDiHiIiIiEiCFESLiIiIiCRIQbSIiIiISIL2Oog2s85m9raZfWpmC81sj/F1ZtbazJ43s4/N7AMz6xexrMDMPjGzeWaWv7f1ERERERHZ15JxYWEZcIO7f2hmGcBcM3vT3RdF5LkFmOfuw8ysN/AQcGrE8pMrr/oWEREREanv9ron2t3XuPuH4fPNwKfseQvYXOCfYZ7FQFcza7+32xYRERERqQtJHRNtZl2BAcDsqEXzgfPCPIOALgR3uYLgdrFvmNlcM7usmrJ1C1kRERERqReSFkSb2UHAs8C17l4ctfhuoLWZzQP+F/iIYBgIwLHu/h3gTOBnZnZCrPJ1C1kRERERqS+ScrMVM2tEEEBPdvfnopeHQfWPwrwGfBE+cPfV4d+vzex5YBDwTjLqJSIiIiKyLyRjdg4DngA+dfcJVeRpZWaNw5eXAu+4e7GZNQ8vRsTMmgNnAAv2tk4iIiIiIvtSMnqijwV+CHwSDteAYDaObAB3fwToAzxt/5+9e4/Tq6rvPf75NuFyBOQiUUMCBjWtItZbykXqkYOCwRseLy2UKlps6ilUPWoreEMttWqtWk6pipriFayImiqWIopWRcpEUAiIBMQmBk0Q5GIVCPzOH3sPPAwzyezMM7cnn/fr0cfXmAAAIABJREFU9bzm2WutZ+21ZmfW88vaa++d3AVcARzblnsI8PkmDmcu8Omq+rc+tEmSJEmaNBMOoqvqW0A2U+ZCYPEo6dcCj5toGyRJkqSp5BMLJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlaUAlWZrkqiSrk5wwSv4rklyW5NIk30qyT5t+aJKVbd7KJIf0fOaCts5L29eDp7JPkjRT9OWJhZKkmSXJHOBU4FBgLXBxkhVVdUVPsU+39/InyXOB9wJLgRuA51TVuiT7AucCC3o+d3RVDU1FPyRppnImWpIG037A6qq6tqruAM4EjugtUFW39GzuAFSbfklVrWvTVwHbJ9luCtosSbOGM9GSNJgWAGt6ttcC+48slOQ44DXAtsAhI/OBFwCXVNXtPWn/3D6B9nPAyVVVfWu1JM0SzkRL0mAa7Umy9wt2q+rUqnoE8HrgTfepIHkM8C7gz3qSj66qxwJPaV8vHnXnybIkQ0mGNmzYsIVdkKSZyyBakgbTWmDPnu2FwLoxykKz3ON5wxtJFgKfB15SVdcMp1fVT9uftwKfplk2cj9VdVpVLamqJfPmzdviTkjSTGUQLUmD6WJgcZK9k2wLHAms6C2QZHHP5rOAq9v0XYAvAydW1bd7ys9Nsnv7fhvg2cDlk9oLSZqhXBMtSQOoqjYmOZ7mzhpzgOVVtSrJ24GhqloBHJ/k6cCdwE3AMe3HjwceCbw5yZvbtMOAXwHntgH0HOCrwIenrFOSNIMYREvSgKqqc4BzRqS9pef9q8b43MnAyWNU+6S+NVCSZjGXc0iSJEkdGURLkiRJHRlES5IkSR0ZREuSJEkdGURLkiRJHRlES5IkSR1NOIhOsmeSrye5MsmqJPe7ZVKSXZN8PskPkvxnkn178pYmuSrJ6iQnTLQ9kiRJ0mTrx0z0RuC1VfVo4ADguCT7jCjzBuDSqvpd4CXAPwAkmQOcChwO7AMcNcpnJUmSpBllwkF0VV1fVd9r398KXAksGFFsH+D8tswPgUVJHgLsB6yuqmur6g7gTOCIibZJkiRJmkx9XROdZBHwBOCiEVnfB57fltkPeBiwkCbYXtNTbi33D8AlSZKkGaVvQXSSHYHPAa+uqltGZL8T2DXJpcBfAJfQLAPJKFXVGPUvSzKUZGjDhg39arYkSZLU2dx+VJJkG5oA+lNVdfbI/DaofllbNsCP29cDgD17ii4E1o22j6o6DTgNYMmSJaMG2pIkSdJU6MfdOQJ8FLiyqt47Rpldkmzbbr4c+GYbWF8MLE6yd5t/JLBiom2SJEmSJlM/ZqIPAl4MXNYu14Dmbhx7AVTVB4FHAx9PchdwBXBsm7cxyfHAucAcYHlVrepDmyRJkqRJM+Eguqq+xehrm3vLXAgsHiPvHOCcibZDkiRJmio+sVCSJEnqyCBakiRJ6sggWpIGVJKlSa5KsjrJCaPkvyLJZUkuTfKt4SfGJjk0yco2b2WSQ3o+86Q2fXWSU9qLyyVpq2MQLUkDKMkc4FTgcJqnxh41HCT3+HRVPbaqHg+8Gxi+w9INwHOq6rHAMcAnej7zAWAZzXUui4Glk9cLSZq5DKIlaTDtB6yuqmur6g7gTOCI3gIjHoy1A+3Drqrqkqoavmf/KmD7JNslmQ88sKourKoCPg48b7I7IkkzUV8etiJJmnEWAGt6ttcC+48slOQ44DXAtsAhI/OBFwCXVNXtSRa09fTWuaBvLZakWcSZaEkaTKOtVb7f016r6tSqegTweuBN96kgeQzwLuDPutTZfnZZkqEkQxs2bOjUcEmaDQyiJWkwrQX27NleCKwboyw0yz3uWZqRZCHweeAlVXVNT50Lx1NnVZ1WVUuqasm8efO2oPmSNLMZREvSYLoYWJxk7yTbAkcCK3oLJOl9CNazgKvb9F2ALwMnVtW3hwtU1fXArUkOaO/K8RLgi5PbDUmamQyiJWkAVdVG4HjgXOBK4F+qalWStyd5blvs+CSrklxKsy76mOF04JHAm9vb312a5MFt3v8BPgKsBq4BvjJFXZKkGcULCyVpQFXVOcA5I9Le0vP+VWN87mTg5DHyhoB9+9hMSZqVnImWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6mnAQnWTPJF9PcmX7+Nj7PQEryc5J/jXJ99syL+vJu6vnsbIrJtoeSZIkabL147HfG4HXVtX3kuwErExyXlVd0VPmOOCKqnpOknnAVUk+VVV3AL+uqsf3oR2SJEnSlJjwTHRVXV9V32vf3wpcCSwYWQzYKUmAHYEbaYJvSZIkadbp65roJIuAJwAXjcj6R+DRwDrgMuBVVXV3m7d9kqEk303yvH62R5IkSZoM/VjOAUCSHYHPAa+uqltGZD8DuBQ4BHgEcF6S/2jL7VVV65I8HPhaksuq6ppR6l8GLAPYa6+9+tVsSZIkqbO+zEQn2YYmgP5UVZ09SpGXAWdXYzXwY+BRAFW1rv15LXABzUz2/VTVaVW1pKqWzJs3rx/NliRJkrZIP+7OEeCjwJVV9d4xiv0X8LS2/EOA3wGuTbJrku3a9N2Bg4ArxqhDkiRJmhH6sZzjIODFwGVJLm3T3gDsBVBVHwT+Gjg9yWVAgNdX1Q1Jngx8KMndNAH9O0fc1UOSJEmacSYcRFfVt2gC402VWQccNkr6d4DHTrQNkqT7S7IU+AdgDvCRqnrniPxX0NyC9C7gNmBZVV2R5EHAWcDvAadX1fE9n7kAmA/8uk06rKrWT3ZfJGmm6duFhZKkmSPJHOBU4FBgLXBxkhUjzvZ9uj1bSJLnAu8FlgK/Ad4M7Nu+Rjq6qoYms/2SNNP52G9JGkz7Aaur6tr2wVZnAkf0FhhxJ6UdaO7pT1X9qj3L+JupaqwkzTbOREvSYFoArOnZXgvsP7JQkuOA1wDb0tyGdDz+OcldNHdlOrmqaoJtlaRZZ1YG0StXrrwhyU+24KO7Azf0uz0zxCD3DQa7f/Zt9tqS/j1sMhoyitGuVblfsFtVpwKnJvkj4E3AMZup9+iq+mmSnWiC6BcDH7/fznvu7Q/cluSqLo1vDfK/n0HuGwx2/wa5bzDY/dvSvo06bs/KILqqtuhG0UmGqmpJv9szEwxy32Cw+2ffZq8Z3r+1wJ492wtpnho7ljOBD2yu0qr6afvz1iSfplk2cr8guqpOA07r0uCRZvjvd0IGuW8w2P0b5L7BYPev331zTbQkDaaLgcVJ9k6yLXAksKK3QJLFPZvPAq7eVIVJ5rb39B9+yNazgcv72mpJmiVm5Uy0JGnTqmpjkuOBc2lucbe8qlYleTswVFUrgOOTPB24E7iJnqUcSa4DHghsm+R5NLcp/QlwbhtAzwG+Cnx4CrslSTPG1hZET+jU4gw3yH2Dwe6ffZu9ZnT/quoc4JwRaW/pef+qTXx20RhZT+pL48ZnRv9+J2iQ+waD3b9B7hsMdv/62rd4UbUkSZLUjWuiJUmSpI62iiA6ydIkVyVZneSE6W5PV0n2TPL1JFcmWZXkVW36bknOS3J1+3PXNj1JTmn7+4MkT5zeHoxPkjlJLknypXZ77yQXtf37THtxFEm2a7dXt/mLprPdm5NklyRnJflhewwPHKRjl+T/tv8uL09yRpLtZ+uxS7I8yfokl/ekdT5WSY5py1+dZHO3jNMoHLdnxd/+QI7ZMNjj9iCN2TC94/bAB9G599G3hwP7AEcl2Wd6W9XZRuC1VfVo4ADguLYPJwDnV9Vi4Px2G5q+Lm5fyxjHbatmiFcBV/Zsvwt4X9u/m4Bj2/RjgZuq6pHA+9pyM9k/AP9WVY8CHkfTx4E4dkkWAK8EllTVvjQXmx3J7D12p9M89rpXp2OVZDfgJJoHm+wHnDQ8gGt8HLdn/t9+a1DHbBjQcXsAx2yYznG7qgb6BRwInNuzfSJw4nS3a4J9+iJwKHAVML9Nmw9c1b7/EHBUT/l7ys3UF809bM+neWLal2geFHEDMHfkcaS528CB7fu5bblMdx/G6NcDgR+PbN+gHDvufSrebu2x+BLwjNl87IBFwOVbeqyAo4AP9aTfp5yvcR0Dx+2Z/7c/kGN228aBHbcHccxu2zYt4/bAz0Qz+qNvF0xTWyasPZXyBOAi4CFVdT1A+/PBbbHZ2Of3A38F3N1uPwj4ZVVtbLd7+3BP/9r8m9vyM9HDgQ00j0m+JMlHkuzAgBy7ah688R7gv4DraY7FSgbj2A3reqxm1TGcoQbqdzig4/agjtkwwOP2VjJmwxSN21tDED2uR9/OBkl2pHnM7qur6pZNFR0lbcb2OcmzgfVVtbI3eZSiNY68mWYu8ETgA1X1BOBX3HtaaTSzqW+0p7uOAPYG9gB2oDldNtJsPHabM1ZfBqmP02VgfoeDOG4P+JgNAzxub+VjNvR53N4aguiuj76dkdI83OBzwKeq6uw2+edJ5rf584H1bfps6/NBwHPTPNzhTJrTg+8HdkkyfC/z3j7c0782f2fgxqlscAdrgbVVdVG7fRbN4Dwox+7pwI+rakNV3QmcDTyZwTh2w7oeq9l2DGeigfgdDvC4PchjNgz2uL01jNkwReP21hBEb/bRtzNdkgAfBa6sqvf2ZK3g3ieMHUOz5m44/SXtVagHADcPn9aYiarqxKpaWM3DHY4EvlZVRwNfB17YFhvZv+F+v7AtPyP/Z1xVPwPWJPmdNulpwBUMyLGjOSV4QJIHtP9Oh/s3649dj67H6lzgsCS7trM+h7VpGj/H7Rn8tz/IYzYM/Li9NYzZMFXj9nQvBp+KF/BM4EfANcAbp7s9W9D+36c5rfAD4NL29UyadUnnA1e3P3dry4fmyvZrgMtorsKd9n6Ms68HA19q3z8c+E9gNfBZYLs2fft2e3Wb//Dpbvdm+vR4YKg9fl8Adh2kYwe8DfghcDnwCWC72XrsgDNo1gneSTMzceyWHCvgT9o+rgZeNt39mo0vx+2Z/7fftnvgxuy2zQM7bg/SmN22cdrGbZ9YKEmSJHW0NSznkCRJkvrKIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFpbnSQvTfKt6W6HJGnLJbktycO38LPT/j2QZFGS6nnctmYZg2hNiiTXJXn6JO/jrUk+OZn72BJJTk9yRzvAD7/+cLrbJUnDpmKMbvfz20k+m+SGJDcn+UGS1ySZM9G6q2rHqrq23c/pSU6eeIsbSY5N8sMktyb5eZIvJ9lpMval2csgWpqATcwgvLsd4Idfn9mCuif8JSNJ0yXJI4CLgDXAY6tqZ+BFwBJgp+ls26YkeSrwDuCoqtoJeDTwL9PbKs1EBtGackn+NMnqJDcmWZFkj568w5Jc1c5Y/FOSbyR5+Rbs44Qk17SzCFck+d/3L5L/1+7nh0me1pOxR9uuG9t2/mlP3luTnJXkk0luAV7asV2PTnJBkl8mWZXkuT15pyf5QJJzkvwK+F9J/keSv0/yk7at30ryP9ryByT5TlvX95Mc3PX3JEkj9XGMfhvwnap6TVVdD1BVV1XVH1XVL9v6PpvkZ21930zymJ59nZ7kg0nOa8fybyR5WE9+JXlkkmXA0cBftWf+/rXN39z3wFh+D7iwqi5p23xjVX2sqm7dxL42NbaPOY6P+L2/oD1DsO8426lpZhCtKZXkEOBvgT8A5gM/Ac5s83YHzgJOBB4EXAU8eQt3dQ3wFGBnmoH8k0nm9+TvD1wL7A6cBJydZLc27wxgLbAH8ELgHb1BNnBE285dgE+Nt0FJtgH+Ffh34MHAXwCfSvI7PcX+CPgbmlmabwHvAZ5E83vYDfgr4O4kC4AvAye36a8DPpdk3njbI0kj9XmMfnpbflO+AiymGRO/x/3H1KOBv6YZqy8dJZ+qOq1NHz4D+Jw2a3PfA2O5CHhGkrclOSjJdpva1zjG9lHH8d4dJnkZ8C7g6VV1+TjaqBnAIFpT7WhgeVV9r6pupxmMD0yyCHgmsKqqzq6qjcApwM+2ZCdV9dmqWldVd7dLKa4G9uspsh54f1Xd2eZfBTwryZ7A7wOvr6rfVNWlwEeAF/d89sKq+kJb96/HaMLr2hmJXya5oU07ANgReGdV3VFVXwO+BBzV87kvVtW3q+pu4A7gT4BXVdVPq+quqvpO+3v7Y+Ccqjqnbcd5wFD7O5SkLdXPMfpBwPWb2llVLa+qW9t9vRV4XJKde4p8uaq+2ea/sW3LnuPpyDi+B8b63H8AzweeSDNZ8Ysk783YS+zGHNuT/BZjj+PDXg38JXBwVa0eT980MxhEa6rtQTOzAUBV3Qb8AljQ5q3pySuaGeHOkrwkyaXDgSywL81MxrCftvUP+0m7/z2AG6vq1hF5C3q217B576mqXdrX8H73ANa0AfJ46t4d2J5mNmWkhwEv6gnUf0kT/I9nlkWSxtLPMfoXbGJMSjInyTvbJRe3ANe1Wb1jde/+bgNubNuxWeP4HhhTVX2lndHejebs40uBsZatbGps39Q4PuwvgVOraou+7zR9DKI11dbRBIAAJNmBZrbipzQzFgt78tK7PV7tmrkPA8cDD6qqXYDLgfQUW9DWP2yvtm3rgN3SXoXdk/fTnu3e4LuLdcCe7czEeOq+AfgN8IhR6loDfKInUN+lqnaoqnduYdskCfo7Rn8VeMEm8v+IJkB9Os2Si0XDVfeUuWfWOcmONEHtulHqus+4PM7vgc1qZ7HPB75GE4Tfb19semzf1Dg+7DDgTUk29bvSDGQQrcm0TZLte15zgU8DL0vy+Had2TuAi6rqOprTZo9N8ry27HHAQzezj98asY/tgB1oBrkNcM9as5EXajwYeGWSbZK8iObq63Oqag3wHeBv2/p+FziWDmufN+Ei4Fc0F6Rsk+ZCwOfQrjccqZ3VWA68N83FjnOSHNj28ZPAc5I8o03fPsnBSTr/p0PSVmuyx+iTgCcn+bskDwVoLwT8ZJJdaK79uJ1mxvoB7b5GemaS30+yLc3a6IvacXqknwO994wez/fAqJIckeTIJLumsR/wVOC7Y+xrzLF9M+P4sFXAUuDU9FyQqJnPIFqT6Rzg1z2vt7b/o38z8DmaWY1HAEcCVNUNNLc/ejfNoLoPzTrf2+9X872OGrGPa6rqCuDvgQtpBrvHAt8e8bmLaC5muYHmQr4XVtUveupcRDO78HngpHbN8YRU1R3Ac4HD2/3+E/CSqvrhJj72OuAy4GKa05jvAn6r/RI5AngDzZfEGppTgv5NSxqvSR2jq+oa4ECa8XRVkpvbeoeAW4GP0yx7+ClwBfcGqb0+TROM30hzcd7RY/Tlo8A+7dKNL4zze2AsNwF/SrOG+haaSYu/q6rhyZSR+9rc2D7qON67w6r6PvBs4MNJDh9nOzXNct9lodLM0Z4aWwscXVVfn+72SJLuNdljdJLTgbVV9aZ+1y31g7NWmlHa5Qm7tKe63kCzfm202QlJ0hRzjJbuZRCtmeZAmquYb6BZU/a8TdxGTpI0tRyjpZbLOSRJkqSOnImWJEmSOjKIliRJkjqaO90N2BK77757LVq0aLqbIUmdrVy58oaqmjfd7ZhKjtmSZrOxxu1ZGUQvWrSIoaGh6W6GJHWW5CebLzVYHLMlzWZjjdsu55AkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOupbEJ1kaZKrkqxOcsIo+dsl+Uybf1GSRSPy90pyW5LX9atNkiRJ0mToSxCdZA5wKnA4sA9wVJJ9RhQ7Fripqh4JvA9414j89wFf6Ud7JEmSpMnUr5no/YDVVXVtVd0BnAkcMaLMEcDH2vdnAU9LEoAkzwOuBVb1qT2SJEnSpOlXEL0AWNOzvbZNG7VMVW0EbgYelGQH4PXA2/rUFkmSJGlS9SuIzihpNc4ybwPeV1W3bXIHybIkQ0mGNmzYsIXNlCQlWZ5kfZLLx8h/VJILk9w+2nUqSeYkuSTJlya/tZI0M/UriF4L7NmzvRBYN1aZJHOBnYEbgf2Bdye5Dng18IYkx4/cQVWdVlVLqmrJvHnz+tRsSdoqnQ4s3UT+jcArgfeMkf8q4Mo+t0mSZpV+BdEXA4uT7J1kW+BIYMWIMiuAY9r3LwS+Vo2nVNWiqloEvB94R1X9Y5/aJUkaoaq+SRMoj5W/vqouBu4cmZdkIfAs4COT10JJmvnm9qOSqtrYzh6fC8wBllfVqiRvB4aqagXwUeATSVbTDN5H9mPfkqQp9X7gr4CdprshkjSd+hJEA1TVOcA5I9Le0vP+N8CLNlPHW/vVHklSfyV5NrC+qlYmOXgzZZcBywD22muvKWidJE0tn1goSRqvg4DnttewnAkckuSToxX0OhZJg84gWpI0LlV1YlUtbK9hOZLm2pY/nuZmSdK06NtyDknS7JDkDOBgYPcka4GTgG0AquqDSR4KDAEPBO5O8mpgn6q6ZZqaLEkzjkG0JG1lquqozeT/jOZWpZsqcwFwQf9aJUmzi8s5JEmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI76EkQnWZrkqiSrk5wwSv52ST7T5l+UZFGbfmiSlUkua38e0o/2SJIkSZNpwkF0kjnAqcDhwD7AUUn2GVHsWOCmqnok8D7gXW36DcBzquqxwDHAJybaHknSpiVZnmR9ksvHyH9UkguT3J7kdT3peyb5epIrk6xK8qqpa7UkzSz9mIneD1hdVddW1R3AmcARI8ocAXysfX8W8LQkqapLqmpdm74K2D7Jdn1okyRpbKcDSzeRfyPwSuA9I9I3Aq+tqkcDBwDHjTJpIklbhX4E0QuANT3ba9u0UctU1UbgZuBBI8q8ALikqm7vQ5skSWOoqm/SBMpj5a+vqouBO0ekX19V32vf3wpcyf3He0naKsztQx0ZJa26lEnyGJolHoeNuZNkGbAMYK+99ureSklS37TXtjwBuGh6WyJJ06MfM9FrgT17thcC68Yqk2QusDPtLEiShcDngZdU1TVj7aSqTquqJVW1ZN68eX1otiRpSyTZEfgc8OqqumWMMsuSDCUZ2rBhw9Q2UJKmQD+C6IuBxUn2TrItcCSwYkSZFTQXDgK8EPhaVVWSXYAvAydW1bf70BZJ0iRKsg1NAP2pqjp7rHJOfEgadBMOots1zscD59Ksj/uXqlqV5O1JntsW+yjwoCSrgdcAw7fBOx54JPDmJJe2rwdPtE2SpP5LEprx/Mqqeu90t0eSplM/1kRTVecA54xIe0vP+98ALxrlcycDJ/ejDZKk8UlyBnAwsHuStcBJwDYAVfXBJA8FhoAHAncneTXNLUx/F3gxcFmSS9vq3tB+B0jSVqUvQbQkafaoqqM2k/8zmutbRvoWo18oLklbHR/7LUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSZIkdWQQLUmSJHVkEC1JkiR1ZBAtSVuZJMuTrE9y+Rj5j0pyYZLbk7xuRN7SJFclWZ3khKlpsSTNPAbRkrT1OR1Yuon8G4FXAu/pTUwyBzgVOBzYBzgqyT6T1EZJmtH6FkRvbnYiyXZJPtPmX5RkUU/eiW36VUme0a82SZLur6q+SRMoj5W/vqouBu4ckbUfsLqqrq2qO4AzgSMmr6WSNHPN7UclPbMThwJrgYuTrKiqK3qKHQvcVFWPTHIk8C7gD9tZjCOBxwB7AF9N8ttVdVc/2gbw7Y+9hX2vOZWd2NivKiWJO/gtVs57IQf9xYenuylTZQGwpmd7LbD/aAWTLAOWAey1116ddjL05eUsuPgk5t19i6dLJfXN3YQfzf1ttn/+KTx83wMmXF9fgmh6ZicAkgzPTvQG0UcAb23fnwX8Y5K06WdW1e3Aj5Osbuu7sB8N+/bH3sKSa/6BbdJspx+VShKwHXdzwIZ/4dv/j60lkB5tCK3RClbVacBpAEuWLBm1zGiGvrycxRe9np24A+KYLal/5lA86q6r+MlZx3ItH51wIN2v/+SPNjuxYKwyVbURuBl40Dg/u8X2/vGnmNsOxA7GkvrttwL73vCv092MqbIW2LNneyGwrp872P7S5exgAC1pkgTYo67n5xedNeG6+hVEj2d2Yqwy45rZSLIsyVCSoQ0bNoy7YTvVbQ7EkibV/6g7prsJU+ViYHGSvZNsS7MUb0U/d7Dzxg2O2ZIm1VzuYs6ta/tQT3+MZ3ZiuMzaJHOBnWkubBnXzMaWnhq8NTvygPoN4KyGpMnx62zLttPdiA6SnAEcDOyeZC1wErANQFV9MMlDgSHggcDdSV4N7FNVtyQ5HjgXmAMsr6pV/WzbzXPnMf+unzleS5o0G5nDXTstnHA9/ZqJHs/sxArgmPb9C4GvVVW16Ue2d+/YG1gM/Gef2sWP9z6ajW3IPe7IW5LG6e6Cy3d/znQ3o5OqOqqq5lfVNlW1sKo+WlUfrKoPtvk/a9MfWFW7tO9vafPOqarfrqpHVNXf9Lttv3n8n/ArtoVyzJbUfwWsy3wesv8LJ1zvaiVhAAAgAElEQVRXX2aiq2rjaLMTSd4ODFXVCuCjwCfaCwdvpAm0acv9C81FiBuB4/p5Z46Djnk73/4Y99ydw0FZUr9shXfnmHRLnvUnDIF355DUd/2+O0eayeDZZcmSJTU0NDTdzZCkzpKsrKol092OqeSYLWk2G2vc9j/5kiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGSJElSRwbRkiRJUkcG0ZIkSVJHBtGStJVJsjzJ+iSXj5GfJKckWZ3kB0me2JP37iSrklzZlsnUtVySZg6DaEna+pwOLN1E/uHA4va1DPgAQJInAwcBvwvsC/we8NTJbKgkzVQG0ZK0lamqbwI3bqLIEcDHq/FdYJck84ECtge2BbYDtgF+PtntlaSZyCBakjTSAmBNz/ZaYEFVXQh8Hbi+fZ1bVVdOQ/skadoZREuSRhptnXMleSTwaGAhTaB9SJL/OWoFybIkQ0mGNmzYMIlNlaTpYRAtSRppLbBnz/ZCYB3wv4HvVtVtVXUb8BXggNEqqKrTqmpJVS2ZN2/epDdYkqbahIPoJLslOS/J1e3PXccod0xb5uokx7RpD0jy5SQ/bK/2fudE2yNJmrAVwEvau3QcANxcVdcD/wU8NcncJNvQXFTocg5JW6V+zESfAJxfVYuB89vt+0iyG3ASsD+wH3BST7D9nqp6FPAE4KAkh/ehTZKkMSQ5A7gQ+J0ka5Mcm+QVSV7RFjkHuBZYDXwY+PM2/SzgGuAy4PvA96vqX6e29ZI0M8ztQx1HAAe37z8GXAC8fkSZZwDnVdWNAEnOA5ZW1Rk0F6lQVXck+R7NaUNJ0iSpqqM2k1/AcaOk3wX82WS1S5Jmk37MRD+kPc1H+/PBo5QZ9Urv3gJJdgGeQzObLUmSJM1Y45qJTvJV4KGjZL1xnPsZ9UrvnvrnAmcAp1TVtWO0YRnNTf/Za6+9xrlbSZIkqf/GFURX1dPHykvy8yTzq+r69mb860cptpZ7l3xAs2Tjgp7t04Crq+r9m2jDaW05lixZUmOVkyRJkiZbP5ZzrACOad8fA3xxlDLnAocl2bW9oPCwNo0kJwM7A6/uQ1skSZKkSdePIPqdwKFJrgYObbdJsiTJRwDaCwr/Gri4fb29qm5MspBmScg+wPeSXJrk5X1okyRJkjRpJnx3jqr6BfC0UdKHgJf3bC8Hlo8os5bR10tLkiRJM5ZPLJQkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIliRJkjoyiJYkSZI6MoiWJEmSOjKIlqStTJLlSdYnuXyM/CQ5JcnqJD9I8sSevL2S/HuSK5NckWTRVLVbkmYSg2hJ2vqcDizdRP7hwOL2tQz4QE/ex4G/q6pHA/sB6yepjZI0o82d7gZIkqZWVX1zMzPIRwAfr6oCvptklyTzgV2BuVV1XlvPbZPeWEmaoZyJliSNtABY07O9tk37beCXSc5OckmSv0syZ1paKEnTzCBakjRSRkkrmrOXTwFeB/we8HDgpaNWkCxLMpRkaMOGDZPVTkmaNgbRkqSR1gJ79mwvBNa16ZdU1bVVtRH4AvDEUT5PVZ1WVUuqasm8efMmvcGSNNUMoiVJI60AXtLepeMA4Oaquh64GNg1yXBUfAhwxXQ1UpKmkxcWStJWJskZwMHA7knWAicB2wBU1QeBc4BnAquB/wZe1ubdleR1wPlJAqwEPjzlHZCkGcAgWpK2MlV11GbyCzhujLzzgN+djHZJ0mwy4eUcSXZLcl6Sq9ufu45R7pi2zNVJjhklf8VYN/6XJEmSZpJ+rIk+ATi/qhYD57fb95FkN5rThfvT3Jz/pN5gO8nzAe83KkmSpFmhH0H0EcDH2vcfA543SplnAOdV1Y1VdRNwHu3TspLsCLwGOLkPbZEkSZImXT+C6Ie0V23T/nzwKGXGunE/wF8Df09z8cqYvOeoJEmSZopxXViY5KvAQ0fJeuM49zPqjfuTPB54ZFX93808gpaqOg04DWDJkiU1zv1KkiRJfTeuILqqnj5WXpKfJ5lfVdcnmQ+sH6XYWprbKQ1bCFwAHAg8Kcl1bVsenOSCqjoYSZIkaYbqx3KOFcDw3TaOAb44SplzgcOS7NpeUHgYcG5VfaCq9qiqRcDvAz8ygJYkSdJM148g+p3AoUmuBg5tt0myJMlHAKrqRpq1zxe3r7e3aZIkSdKsM+GHrVTVL4CnjZI+BLy8Z3s5sHwT9VwH7DvR9kiSJEmTrR8z0ZIkSdJWxSBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpK2MkmWJ1mf5PIx8pPklCSrk/wgyRNH5D8wyU+T/OPUtFiSZh6DaEna+pwOLN1E/uHA4va1DPjAiPy/Br4xKS2TpFnCIFqStjJV9U3gxk0UOQL4eDW+C+ySZD5AkicBDwH+ffJbKkkzl0G0JGmkBcCanu21wIIkvwX8PfCX09IqSZpBDKIlSSNllLQC/hw4p6rWjJJ/3wqSZUmGkgxt2LCh7w2UpOk2d7obIEmacdYCe/ZsLwTWAQcCT0ny58COwLZJbquqE0ZWUFWnAacBLFmypCa/yZI0tQyiJUkjrQCOT3ImsD9wc1VdDxw9XCDJS4ElowXQkrQ1mJVB9MqVK29I8pMt+OjuwA39bs8MMch9g8Hun32bvbakfw+bjIZ0keQM4GBg9yRrgZOAbQCq6oPAOcAzgdXAfwMvm8j+HLNHNch9g8Hu3yD3DQa7f1vat1HH7VRtPWfZkgxV1ZLpbsdkGOS+wWD3z77NXoPev+k2yL/fQe4bDHb/BrlvMNj963ffvLBQkiRJ6sggWpIkSepoawuiT5vuBkyiQe4bDHb/7NvsNej9m26D/Psd5L7BYPdvkPsGg92/vvZtq1oTLUmSJPXD1jYTLUmSJE3YVhFEJ1ma5Kokq5PMunuaJtkzydeTXJlkVZJXtem7JTkvydXtz13b9CQ5pe3vD5I8cXp7MD5J5iS5JMmX2u29k1zU9u8zSbZt07drt1e3+Yums92bk2SXJGcl+WF7DA8cpGOX5P+2/y4vT3JGku1n67FLsjzJ+iSX96R1PlZJjmnLX53kmOnoy2znuD0r/vYHcsyGwR63B2nMhukdtwc+iE4yBzgVOBzYBzgqyT7T26rONgKvrapHAwcAx7V9OAE4v6oWA+e329D0dXH7WgZ8YOqbvEVeBVzZs/0u4H1t/24Cjm3TjwVuqqpHAu9ry81k/wD8W1U9CngcTR8H4tglWQC8kuahG/sCc4Ajmb3H7nRg6Yi0TscqyW40913eH9gPOGl4ANf4OG7P/L/91qCO2TCg4/YAjtkwneN2VQ30i+Yxtef2bJ8InDjd7Zpgn74IHApcBcxv0+YDV7XvPwQc1VP+nnIz9UXzWOHzgUOALwGhuSH63JHHETgXOLB9P7ctl+nuwxj9eiDw45HtG5RjBywA1gC7tcfiS8AzZvOxAxYBl2/psQKOAj7Uk36fcr7GdQwct2f+3/5AjtltGwd23B7EMbtt27SM2wM/E829/2CGrW3TZqX2VMoTgIuAh1TzKF7anw9ui83GPr8f+Cvg7nb7QcAvq2pju93bh3v61+bf3JafiR4ObAD+uT3t+ZEkOzAgx66qfgq8B/gv4HqaY7GSwTh2w7oeq1l1DGeogfodDui4PahjNgzwuL2VjNkwReP21hBEZ5S0WXlLkiQ7Ap8DXl1Vt2yq6ChpM7bPSZ4NrK+qlb3JoxStceTNNHOBJwIfqKonAL/i3tNKo5lNfaM93XUEsDewB7ADzemykWbjsducsfoySH2cLgPzOxzEcXvAx2wY4HF7Kx+zoc/j9tYQRK8F9uzZXgism6a2bLEk29AMxJ+qqrPb5J8nmd/mzwfWt+mzrc8HAc9Nch1wJs3pwfcDuySZ25bp7cM9/WvzdwZunMoGd7AWWFtVF7XbZ9EMzoNy7J4O/LiqNlTVncDZwJMZjGM3rOuxmm3HcCYaiN/hAI/bgzxmw2CP21vDmA1TNG5vDUH0xcDi9srTbWkW0K+Y5jZ1kiTAR4Erq+q9PVkrgOErSI+hWXM3nP6S9irUA4Cbh09rzERVdWJVLayqRTTH52tVdTTwdeCFbbGR/Rvu9wvb8jPyf8ZV9TNgTZLfaZOeBlzBgBw7mlOCByR5QPvvdLh/s/7Y9eh6rM4FDkuyazvrc1ibpvFz3J7Bf/uDPGbDwI/bW8OYDVM1bk/3YvCpeAHPBH4EXAO8cbrbswXt/32a0wo/AC5tX8+kWZd0PnB1+3O3tnxormy/BriM5ircae/HOPt6MPCl9v3Dgf8EVgOfBbZr07dvt1e3+Q+f7nZvpk+PB4ba4/cFYNdBOnbA24AfApcDnwC2m63HDjiDZp3gnTQzE8duybEC/qTt42rgZdPdr9n4ctye+X/7bbsHbsxu2zyw4/YgjdltG6dt3PaJhZIkSVJHW8NyDkmSJKmvDKIlSZKkjgyiJUmSpI4MoiVJkqSODKIlSZKkjgyiJUmSpI4MoiVJkvooycFJ1k53OzS5DKI14yS5LsnTp2A/+yRZkeTmJLcm+XqSJ3f4/FuTfLKP7elrfZI0UpKXJrksyX8n+VmSDyTZZZyf7evYPFVjvTRZDKK1VUryCODbNE8s2hvYA/g88O9JDpzOtknSZEjyWuBdwF8COwMHAA8Dzmsfrz6w2sc8T0nMk2TuTKxL/WcQrVklyZ8mWZ3kxnYWeY+evMOSXNXOLP9Tkm8kefkYVb0VuLCq3lhVN1bVrVV1Cs0jUN/V1ne/03HDMydJlgJvAP4wyW1Jvt/mX5Dkb5P8Z9uOLybZbUvrk6R+SPJAmsc9/0VV/VtV3VlV1wF/QBNI/3GS05Oc3POZe8asJJ8A9gL+tR2j/irJoiSVZFmSdUmubwP14c93qm+Mdo85prb5ByT5TpJfJvl+koNHfPZvknwb+G+aR1uPrP8nSZ7Uvv/jtj/7tNsvT/KF9v12Sd7f9nNd+3673n4leX2SnwH/PMp+XpnkiiQL2+1nJ7m0bfd3kvxuT9nr2rp+APzKQHrmMojWrJHkEOBvaQb9+cBPgDPbvN2Bs4ATgQcBVwGbWppxKPDZUdL/BTgoyQM21Zaq+jfgHcBnqmrHqnpcT/ZLgD+hmd3eCJyyub5tpj5JmqgnA9sDZ/cmVtVtwFdoxsQxVdWLgf8CntOOUe/uyf5fwGLgMOCE8SzR2Ex9I406piZZAHwZOBnYDXgd8Lkk83o++2JgGbATzXfGSN8ADm7f/0/gWuCpPdvfaN+/kWbm/vHA44D9gDf11PPQtg0Pa/d3jyRvBl4KPLWq1iZ5IrAc+DOa76sPASuGg/LWUcCzgF2qauNYvxhNr1kbRCdZnmR9ksv7VN+/tf8j/NKI9LT/k/1RkiuTvLIf+9MWORpYXlXfq6rbaQLmA5MsAp4JrKqqs9sB5xTgZ5uoa3fg+lHSr6f5u9h1Au38RFVdXlW/At4M/EGSOROoT5ImanfghjECsuvb/C31tqr6VVVdRjMLe9QE6hrNWGPqHwPnVNU5VXV3VZ0HDNF8Hww7vapWVdXGqrpzlLq/wb1B81NoJmqGt5/KvUH00cDbq2p9VW2gmdV/cU89dwMnVdXtVfXrNi1J3gs8A/hf7ecA/hT4UFVdVFV3VdXHgNtpgvRhp1TVmp66NAPN2iAaOB1Y2sf6/o77/kEMeymwJ/Coqno07cynpsUe9MwktDMovwAWtHlrevIK2NSV0TfQzGaPNJ9mMLxpAu1c0/P+J8A2TOwLSpIm6gZg9zGWBsxv87fUyDFvj7EKbkqSD7ZLO25L8oZN1D88pj4MeFE7AfbLJL8Efp/7ju33fDbJU3rqX9UmfwN4SpKHAnOAz9CcjVxEs2780rbcfb5/Runnhqr6zYgu7UIzK/23VXVzT/rDgNeOaPeeI+rr7bNmqFkbRFfVN4Ebe9OSPKKdUV6Z5D+SPKpDfecDt46S9X9o/vd5d1tu/UTarQlZRzP4AJBkB5pTYT+lmUlZ2JOX3u1RfBV40Sjpf0CzVvq/gV8B9yzraGc+ek8T1hh179nzfi/gTpovqC2tT5Im6kKa2c7n9ya24+jhwPmMGKNolij0Gu+Yt65936m+qnpFu7Rjx6p6xybqHx5T19DMUu/S89qhqt452j6q6j966n9Mm7aaZr30K4FvVtWtNGcxlwHfGv7uZ8T3z4h+3q8vrZuAZwP/nOSgnvQ1wN+MaPcDquqMzdSnGWbWBtFjOI3mookn0ayN+qc+1PkImou9hpJ8JcniPtSpzdsmyfY9r7nAp4GXJXl8u3bsHcBF7cUxXwYem+R5bdnjuP+A3ettwJPbpTq7JdkpyV/QrL17fVvmR8D2SZ6VZBua9W+9a9Z+DizK/a/4/uM0t897APB24KyqumsC9UnShLQzoW8D/l+SpUm2aWdbP0tz1u4TNLOuz2zHxIcCrx5Rzc8Z5eI84M1JHpDkMcDLaGZzmUB9I401pn4SeE6SZySZ035XHDx88V4H3wCO596lGxeM2AY4A3hTknntNThvafe/SVV1Ac1SkM8n2b9N/jDwiiT7t0tGd2i/F3bq2G5Ns4H5sk6yI82FE59NcinNQv35bd7zk1w+yuvccVS9HfCbqlpC8w9/+WT1QfdxDvDrntdb27MFbwY+RzPz/AjgSICquoFmZvndNEs89qFZG3f7aJVX1dU0p/0eB1zX1vcC4BlV9e22zM3AnwMfoZnt/hX3XSIyfGHiL5J8ryf9EzTLjX5GcyHPKydYnyRNWHvx3huA9wC3ABfRzIo+rb3O5BPA92nGxH/n3mB42N/SBJK/TPK6nvRvAKtpZrPfU1X/3qZvaX0jjTWmrgGOaPu0oe3LX9I9tvkGzYWH3xxjG5qLF4eAH9DcGvV7bdpmtWu1X0Zz8eCTqmqIZl30P9LMVq+mWTqqWSbN0tHZqf1f9Jeqat80t++5qqpGW+c63voOBl5XVc/uSfshsLSqrmuXCPyyqnaeWMs12drZ3LXA0VX19Snc7wXAJ6vqI1O1T0maDu138I+BbSbrDhKOqZrJBmYmuqpuAX6c5EVwz101+nGbsC8Ah7Tvn0pzSl4zUHtKb5d2qccbgADfneZmSZKkATRrg+gkZ9BcKPE7aW5yfizNuqNj0zyoYhXNaZ7x1vcfNKfTn9bW94w2653AC5JcRnPqaayHd2j6HQhcQ3PByXOA53l7IEmSNBlm9XIOSZIkaTrM2ploSZIkaboYREuSJEkdjfbkohlv9913r0WLFk13MySps5UrV95QVfM2X3JwOGZLms3GGrdnZRC9aNEihoaGprsZktRZkp9svtRgccyWNJuNNW67nEOSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6sggWpIkSerIIFqSJEnqyCBakiRJ6mhCQXSSFyVZleTuJEs2UW5pkquSrE5yQk96kvxNkh8luTLJKyfSHkmSJGkqzJ3g5y8Hng98aKwCSeYApwKHAmuBi5OsqKorgJcCewKPqqq7kzx4gu2RJEmSJt2EguiquhIgyaaK7Qesrqpr27JnAkcAVwD/B/ijqrq7rW/9RNojSZIkTYWpWBO9AFjTs722TQN4BPCHSYaSfCXJ4ilojyRJkjQhm52JTvJV/n979x8td13fefz5khDcKgrIFQMhAmu0Ug5V9sqPuhZW0Q2pKwvqrjnuiko3e7ba7fastXDokV16erSrWy2rB5tuI9K6UIpGUkkbkbXNWQ9QYhVMjIGgbbmGmrgo1toujXnvH/MNnV7m5t5v5t47c2eej3Pm3Pl+Pp+Z7/uTb/Lhxfd+5zvwvB5d11TV7XPYR6/T1NX8PAb426qaTHI5sBF4xQx1rAfWA6xatWoOu5UkSZIWxqwhuqou7nMfU3Suez5kJbC3q++TzfNNwMcOU8cGYAPA5ORkzTROkiRJWmiLcTnHfcDqJKcnWQ68Cdjc9H0aeGXz/ELgwUWoR5IkSepLv7e4uyzJFHABcEeSrU37yUm2AFTVAeCdwFZgF3BrVe1s3uJ9wOuTfAV4L/DT/dQjSZIkLYZ+786xic5lGNPb9wJru7a3AFt6jPsu8FP91CBJkiQtNr+xUJLGTJKNSfYl2TFDf5Jc33xB1gNJzpnW/6wk30zy4cWpWJKGjyFaksbPjcCaw/RfAqxuHuuBG6b1/zLwxwtSmSQtEYZoSRozVbUNeOwwQy4FbqqOe4DjkqwASPJPgJOAzy58pZI0vAzRkqTpen5JVpKnAf8d+IWBVCVJQ8QQLUmabqYvyfoZYEtVPdKj/x++QbK++Tba7fv375/3AiVp0Pq6O4ckaSTN9CVZFwCvSPIzwDOB5Um+X1VXTX8DvyBL0qgzREuSptsMvDPJLcB5wONV9Sjw5kMDkrwVmOwVoCVpHBiiJWnMJLkZuAg4sfnCrGuBowGq6qN07uu/FtgD/AB422AqlaThZYiWpDFTVetm6S/gHbOMuZHOrfIkaSz5wUJJkiSpJUO0JEmS1JIhWpIkSWrJEC1JkiS1ZIiWJEmSWjJES5IkSS0ZoiVJkqSWDNGSJElSS4ZoSZIkqSVDtCRJktSSIVqSJElqyRAtSZIktWSIliRJkloyREuSJEkt9R2ik7wxyc4kB5NMHmbcmiS7k+xJclVX+6uS/GmSLyf5P0le0G9NkiRJ0kKajzPRO4DLgW0zDUhyFPAR4BLgTGBdkjOb7huAN1fVS4D/BfzSPNQkSZIkLZhl/b5BVe0CSHK4YecCe6rq683YW4BLga8CBTyrGfdsYG+/NUmSJEkLqe8QPUenAI90bU8B5zXPfxrYkuRvgO8B5/d6gyTrgfUAq1atWrhKJUmSpFnM6XKOJJ9LsqPH49I57qfXaepqfv48sLaqVgIfA36t1xtU1YaqmqyqyYmJiTnuVpIkSZp/czoTXVUX97mfKeDUru2VwN4kE8CPV9W9TfvvAn/Y574kSZKkBbVYt7i7D1id5PQky4E3AZuB7wDPTvLCZtyrgV2LVJMkSZJ0RObjFneXJZkCLgDuSLK1aT85yRaAqjoAvBPYSick31pVO5v2fwd8Msn9wL8FfqHfmiRJkqSFNB9359gEbOrRvhdY27W9Bdgy19dLkiRJw8pvLJQkSZJaMkRLkiRJLRmiJUmSpJYM0ZI0ZpJsTLIvyY4Z+pPk+iR7kjyQ5Jym/SVJ7k6ys2n/14tbuSQND0O0JI2fG4E1h+m/BFjdPNYDNzTtPwDeUlU/1rz+Q0mOW8A6JWloLdbXfkuShkRVbUty2mGGXArcVFUF3JPkuCQrqurBrvfYm2QfMAF8d0ELlqQh5JloSdJ0pwCPdG1PNW1PSnIusBx4eBHrkqShYYiWJE2XHm31ZGeyAvht4G1VdbDnGyTrk2xPsn3//v0LVKYkDY4hWpI03RRwatf2SmAvQJJnAXcAv1RV98z0BlW1oaomq2pyYmJiQYuVpEEwREuSptsMvKW5S8f5wONV9WiS5XS+Yfamqvq9wZYoSYPlBwslacwkuRm4CDgxyRRwLXA0QFV9FNgCrAX20Lkjx9ual/4r4CeB5yR5a9P21qr68qIVL0lDwhAtSWOmqtbN0l/AO3q0/w7wOwtVlyQtJV7OIUmSJLVkiJYkSZJaMkRLkiRJLRmiJUmSpJYM0ZIkSVJLhmhJkiSpJUO0JEmS1JIhWpIkSWrJEC1JkiS1ZIiWJEmSWuorRCd5Y5KdSQ4mmTzMuI1J9iXZMa39hCR3Jnmo+Xl8P/VIkiRJi6HfM9E7gMuBbbOMuxFY06P9KuCuqloN3NVsS5IkSUOtrxBdVbuqavccxm0DHuvRdSnw8eb5x4F/2U89kiRJ0mIY9DXRJ1XVowDNz+cOuB5JkiRpVstmG5Dkc8DzenRdU1W3z39JM9axHlgPsGrVqsXarSRJkvQUs4boqrp4Aff/rSQrqurRJCuAfYepYwOwAWBycrIWsCZJkiTpsAZ9Ocdm4Irm+RXAop3ZliRJko5Uv7e4uyzJFHABcEeSrU37yUm2dI27GbgbeFGSqSRXNl3vA16d5CHg1c22JEmSNNRmvZzjcKpqE7CpR/teYG3X9roZXv9/gVf1U4MkSZK02AZ9OYckSZK05BiiJUmSpJYM0ZIkSVJLhmhJkiSpJUO0JEmS1JIhWpIkSWrJEC1JkiS1ZIiWpDGTZGOSfUl2zNCfJNcn2ZPkgSTndPVdkeSh5nFFr9dL0jjo68tWloovfPw9nPXwRziWA4MuRdIIeYKn8cWJN/Dyn/3NQZfS1o3Ah4GbZui/BFjdPM4DbgDOS3ICcC0wCRTwxSSbq+o781nc9js2csp91zJx8Hue6ZE0bw4SHlz2Qp5++fWccdb5fb/fyIfoL3z8PUw+/Oscnc52BluOpBFyDAc5f/+tfOF/sKSCdFVtS3LaYYZcCtxUVQXck+S4JCuAi4A7q+oxgCR3AmuAm+ertu13bGT1vb/IsTwBcc2WNH+OovjRH+7mz2+7kq/zW30H6ZH/n/zTv/EJljULsYuxpPn2tMBZ3/79QZcx304BHunanmraZmqfN0//8kaeYYCWtEACnFyP8q17b+v7vUY+RB9b33chlrSg/lE9MegS5luvZbMO0/7UN0jWJ9meZPv+/fvnvONnH9jvmi1pQS3jhxz1V1N9v8/Ih+i/yiJ6JPsAAA6xSURBVDMpZljlJWke/E2WD7qE+TYFnNq1vRLYe5j2p6iqDVU1WVWTExMTc97x48smXK8lLagDHMUPj13Z9/uMfIj+xulv5kCzIrswS5pvBwt2nPgvBl3GfNsMvKW5S8f5wONV9SiwFXhNkuOTHA+8pmmbN3/7krfz1yyHcs2WNP8K2JsVnHTeG/p+r5H/YOHLr7iOL3ycJ+/O4aIsab4s1btzJLmZzocET0wyReeOG0cDVNVHgS3AWmAP8APgbU3fY0l+GbiveavrDn3IcL5M/tTb2Q7enUPSvJvvu3Ok8+HrpWVycrK2b98+6DIkqbUkX6yqyUHXsZhcsyUtZTOt2/5PviRJktSSIVqSJElqyRAtSZIktWSIliRJkloyREuSJEktGaIlSZKklvoK0UnemGRnkoNJZrxlU5KNSfYl2TGt/f1JvpbkgSSbkhzXTz2SJEnSYuj3TPQO4HJg2yzjbgTW9Gi/Ezirqs4GHgSu7rMeSZIkacH1FaKraldV7Z7DuG3AU77Vqqo+W1UHms17gP6/yFySJElaYMN0TfTbgT8YdBGSJEnSbJbNNiDJ54Dn9ei6pqpun48iklwDHAA+cZgx64H1AKtWrZqP3UqSJElHZNYQXVUXL2QBSa4AXgu8qqrqMHVsADYATE5OzjhOkiRJWmizhuiFlGQN8IvAhVX1g0HWIkmSJM1Vv7e4uyzJFHABcEeSrU37yUm2dI27GbgbeFGSqSRXNl0fBo4F7kzy5SQf7aceSZIkaTH0dSa6qjYBm3q07wXWdm2vm+H1L+hn/5IkSdIgDNPdOSRJkqQlwRAtSZIktWSIliRJkloyREuSJEktGaIlSZKklgzRkiRJUkuGaEmSJKklQ7QkSZLUkiFakiRJaskQLUmSJLVkiJYkSZJaMkRL0hhKsibJ7iR7klzVo//5Se5K8kCSP0qysqvvvyXZmWRXkuuTZHGrl6TBM0RL0phJchTwEeAS4ExgXZIzpw37AHBTVZ0NXAe8t3ntTwAvB84GzgJeBly4SKVL0tAwREvS+DkX2FNVX6+qJ4BbgEunjTkTuKt5/vmu/gKeDiwHjgGOBr614BVL0pAxREvS+DkFeKRre6pp63Y/8Prm+WXAsUmeU1V30wnVjzaPrVW1a4HrlaShY4iWpPHT6xrmmrb9LuDCJF+ic7nGN4EDSV4AvBhYSSd4vzLJTz5lB8n6JNuTbN+/f//8Vi9JQ8AQLUnjZwo4tWt7JbC3e0BV7a2qy6vqpcA1TdvjdM5K31NV36+q7wN/AJw/fQdVtaGqJqtqcmJiYqHmIUkDY4iWpPFzH7A6yelJlgNvAjZ3D0hyYpJD/424GtjYPP8LOmeolyU5ms5Zai/nkDR2DNGSNGaq6gDwTmArnQB8a1XtTHJdktc1wy4Cdid5EDgJ+JWm/TbgYeArdK6bvr+qfn8x65ekYbBs0AVIkhZfVW0Btkxre0/X89voBObpr/sh8O8XvEBJGnKeiZYkSZJaMkRLkiRJLRmiJUmSpJb6CtFJ3phkZ5KDSSYPM25jkn1JdszQ/64kleTEfuqRJEmSFkO/Z6J3AJcD22YZdyOwpldHklOBV9O5bZIkSZI09PoK0VW1q6p2z2HcNuCxGbo/CLybp35bliRJkjSUBnpNdHM/0m9W1f2DrEOSJElqY9b7RCf5HPC8Hl3XVNXtR7rjJD9C56tkXzPH8euB9QCrVq060t1KkiRJfZs1RFfVxQu0738MnA7cnwRgJfCnSc6tqr/sUccGYAPA5OSkl35IkiRpYAb2jYVV9RXguYe2k/wZMFlV3x5UTZIkSdJc9HuLu8uSTAEXAHck2dq0n5xkS9e4m4G7gRclmUpyZT/7lSRJkgaprzPRVbUJ2NSjfS+wtmt73Rze67R+apEkSZIWi99YKEmSJLVkiJYkSZJaMkRLkiRJLRmiJUmSpJYM0ZIkSVJLhmhJkiSpJUO0JEmS1JIhWpIkSWrJEC1JkiS1ZIiWJEmSWjJES5IkSS0ZoiVJkqSWDNGSJElSS4ZoSZIkqSVDtCSNoSRrkuxOsifJVT36n5/kriQPJPmjJCu7+lYl+WySXUm+muS0xaxdkoaBIVqSxkySo4CPAJcAZwLrkpw5bdgHgJuq6mzgOuC9XX03Ae+vqhcD5wL7Fr5qSRouhmhJGj/nAnuq6utV9QRwC3DptDFnAnc1zz9/qL8J28uq6k6Aqvp+Vf1gccqWpOFhiJak8XMK8EjX9lTT1u1+4PXN88uAY5M8B3gh8N0kn0rypSTvb85sS9JYMURL0vhJj7aatv0u4MIkXwIuBL4JHACWAa9o+l8GnAG89Sk7SNYn2Z5k+/79++exdEkaDoZoSRo/U8CpXdsrgb3dA6pqb1VdXlUvBa5p2h5vXvul5lKQA8CngXOm76CqNlTVZFVNTkxMLNQ8JGlgDNGSNH7uA1YnOT3JcuBNwObuAUlOTHLovxFXAxu7Xnt8kkPJ+JXAVxehZkkaKoZoSRozzRnkdwJbgV3ArVW1M8l1SV7XDLsI2J3kQeAk4Fea1/6QzqUcdyX5Cp1LQ35zkacgSQO3rJ8XJ3kj8F+AFwPnVtX2GcZtBF4L7Kuqs6b1/SydxfwAcEdVvbufmiRJs6uqLcCWaW3v6Xp+G3DbDK+9Ezh7QQuUpCHX75noHcDlwLZZxt0IrJnemOSf0blt0tlV9WN07ksqSZIkDbW+zkRX1S6ApNcHvf/BuG0zfKPVfwDeV1X/rxnnDfslSZI09AZ9TfQLgVckuTfJHyd52YDrkSRJkmY165noJJ8Dntej65qqun0e9n88cD6d+43emuSMqpp+v1KSrAfWA6xatarP3UqSJElHbtYQXVUXL+D+p4BPNaH5T5IcBE4EnnJn/qraAGwAmJycfErIliRJkhbLoC/n+DSde4yS5IXAcuDbA61IkiRJmkVfITrJZUmmgAuAO5JsbdpPTrKla9zNwN3Ai5JMJbmy6doInJFkB3ALcEWvSzkkSZKkYdLv3Tk2AZt6tO8F1nZtr5vh9U8A/6afGiRJkqTFNujLOSRJkqQlxxAtSZIktWSIliRJkloyREuSJEktGaIlSZKklgzRkiRJUkuGaEmSJKklQ7QkSZLUkiFakiRJaskQLUmSJLVkiJYkSZJaMkRLkiRJLRmiJUmSpJZSVYOuobUk+4E/P4KXngh8e57LGRajPDcY7fk5t6XrSOb3/KqaWIhihpVrdk+jPDcY7fmN8txgtOd3pHPruW4vyRB9pJJsr6rJQdexEEZ5bjDa83NuS9eoz2/QRvnPd5TnBqM9v1GeG4z2/OZ7bl7OIUmSJLVkiJYkSZJaGrcQvWHQBSygUZ4bjPb8nNvSNerzG7RR/vMd5bnBaM9vlOcGoz2/eZ3bWF0TLUmSJM2HcTsTLUmSJPVtLEJ0kjVJdifZk+SqQdfTVpJTk3w+ya4kO5P8XNN+QpI7kzzU/Dy+aU+S65v5PpDknMHOYG6SHJXkS0k+02yfnuTeZn6/m2R5035Ms72n6T9tkHXPJslxSW5L8rXmGF4wSscuyc83fy93JLk5ydOX6rFLsjHJviQ7utpaH6skVzTjH0pyxSDmstS5bi+Jf/sjuWbDaK/bo7Rmw2DX7ZEP0UmOAj4CXAKcCaxLcuZgq2rtAPCfq+rFwPnAO5o5XAXcVVWrgbuabejMdXXzWA/csPglH5GfA3Z1bf8q8MFmft8BrmzarwS+U1UvAD7YjBtmvw78YVX9KPDjdOY4EscuySnAfwQmq+os4CjgTSzdY3cjsGZaW6tjleQE4FrgPOBc4NpDC7jmxnV7+P/tN0Z1zYYRXbdHcM2GQa7bVTXSD+ACYGvX9tXA1YOuq8853Q68GtgNrGjaVgC7m+e/AazrGv/kuGF9ACubv+ivBD4DhM4N0ZdNP47AVuCC5vmyZlwGPYcZ5vUs4BvT6xuVYwecAjwCnNAci88A/3wpHzvgNGDHkR4rYB3wG13t/2CcjzkdA9ft4f+3P5JrdlPjyK7bo7hmN7UNZN0e+TPR/P1fmEOmmrYlqflVykuBe4GTqupRgObnc5thS3HOHwLeDRxstp8DfLeqDjTb3XN4cn5N/+PN+GF0BrAf+Fjza8//meQZjMixq6pvAh8A/gJ4lM6x+CKjcewOaXusltQxHFIj9Wc4ouv2qK7ZMMLr9pis2bBI6/Y4hOj0aFuStyRJ8kzgk8B/qqrvHW5oj7ahnXOS1wL7quqL3c09htYc+obNMuAc4Iaqeinw1/z9r5V6WUpzo/l116XA6cDJwDPo/LpsuqV47GYz01xGaY6DMjJ/hqO4bo/4mg0jvG6P+ZoN87xuj0OIngJO7dpeCewdUC1HLMnRdBbiT1TVp5rmbyVZ0fSvAPY17Uttzi8HXpfkz4Bb6Px68EPAcUmWNWO65/Dk/Jr+ZwOPLWbBLUwBU1V1b7N9G53FeVSO3cXAN6pqf1X9HfAp4CcYjWN3SNtjtdSO4TAaiT/DEV63R3nNhtFet8dhzYZFWrfHIUTfB6xuPnm6nM4F9JsHXFMrSQL8FrCrqn6tq2szcOgTpFfQuebuUPtbmk+hng88fujXGsOoqq6uqpVVdRqd4/O/q+rNwOeBNzTDps/v0Lzf0Iwfyv8zrqq/BB5J8qKm6VXAVxmRY0fnV4LnJ/mR5u/pofkt+WPXpe2x2gq8JsnxzVmf1zRtmjvX7SH+tz/KazaM/Lo9Dms2LNa6PeiLwRfjAawFHgQeBq4ZdD1HUP8/pfNrhQeALzePtXSuS7oLeKj5eUIzPnQ+2f4w8BU6n8Id+DzmONeLgM80z88A/gTYA/wecEzT/vRme0/Tf8ag655lTi8BtjfH79PA8aN07ID/CnwN2AH8NnDMUj12wM10rhP8OzpnJq48kmMFvL2Z4x7gbYOe11J8uG4P/7/9pu6RW7Obmkd23R6lNbupcWDrtt9YKEmSJLU0DpdzSJIkSfPKEC1JkiS1ZIiWJEmSWjJES5IkSS0ZoiVJkqSWDNGSJElSS4ZoSZIkqSVDtCRJktTS/wdkpmZjm08TTwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# TESTING THE MALTHUSIAN CLASS\n", "# \n", "# No idea stock growth (h = 0)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "T = 1000\n", "\n", "m_base = delong_classes.malthusian(K=3.0)\n", "m_base.scenario = \"base scenario\"\n", "m_alt = delong_classes.malthusian(K=3.0)\n", "m_alt.scenario = \"alt scenario\"\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for m in m_base, m_alt:\n", " lb = f'{m.scenario}: initial κ = {m.initdata[\"κ\"]:.2f}'\n", " axes[i,j].plot(m.gen_seq(T, var = figcontents[i,j][0], log = figcontents[i,j][2]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run', size = 20)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# TESTING THE MALTHUSIAN CLASS\n", "#\n", "# Adding idea stock growth fast enough that\n", "# (with γ=2) population will double every\n", "# 700 years\n", "# \n", "# Starting the economy at the h=0 Malthusian\n", "# steady-state\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "T = 1000\n", "\n", "m_base = delong_classes.malthusian(h=.0005)\n", "m_base.scenario = \"base scenario\"\n", "m_alt = delong_classes.malthusian(h=.0005)\n", "m_alt.scenario = \"alt scenario\"\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for m in m_base, m_alt:\n", " lb = f'{m.scenario}: initial κ = {m.initdata[\"κ\"]:.2f}'\n", " axes[i,j].plot(m.gen_seq(T, var = figcontents[i,j][0], log = figcontents[i,j][2]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run', size = 20)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the steady state is not affected by where we start." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What if a certain parameter changes value in the course of development?\n", "To start with, here we consider the time period 0AD - 500AD.\n", "\n", "### Assume useful ideas stopped developing since 250AD:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.h = 0\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Idea Shock', size = 20)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# THE COMING OF AN IMPERIAL PEACE\n", "\n", "# φ = 1.25, s = 0.25\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.φ = 1.25\n", " m.s = 0.25\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Idea Shock', size = 20)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# THE COLLAPSE OF AN EMPIRE\n", "\n", "# φ = 1.25, s = 0.25\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.27, K=6.5, φ = 1.25, s = 0.25)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.φ = 1.0\n", " m.s = 0.15\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Idea Shock', size = 20)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Consider a plague happened on 250AD:\n", "The plague decreased the total population (and thus labor force) to 1/10. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with plague'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with plague':\n", " m.L = 2/3*m.L\n", " m.E = m.E*(2/3)**(-1/m.γ)\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Plague', size = 20)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To summarize, the shock on idea development will change the steady state and the development path, while a plague would not change the steady state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shocks to the System... \n", "\n", "* A plague, pushing $ L_t $ down substantially below $ L_t^{*mal} $...\n", "* A breakdown (or buildup) of law-and-order, raising incentives to save and invest, and so raising $ s $...\n", "* Invaders and other raiders, raising $ \\delta $...\n", "* A speed-up or slowdown in innovation, raising or lowering $ h $...\n", "* Large-scale destruction of the societal web, lowering $ H $...\n", "* An increased rate of death from disease or violence, raising or lowering $ Y^{sub} $...\n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Local Convergence... \n", "\n", ">(41) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\ln(H_t) - \\theta \\ln(\\gamma h +\\delta) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right] + \\gamma \\left[ \\theta \\ln(s) \\right] - \\gamma \\left[ \\ln(\\phi) \\right] - \\gamma \\left[ \\ln( y^{sub}) \\right] $\n", "\n", "And recall (31) for the full Malthusian equilibrium standard of living:\n", "\n", ">(42) $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", "Plus for the rate of population growth:\n", "\n", ">(43) $ n^{*mal} = \\gamma h $\n", "\n", "Convergence:\n", "\n", ">(44) $ \\frac{d\\kappa_t}{dt} = - (1-\\alpha)((1-1/\\gamma)n(y_t) + h + \\delta)(\\kappa_t - \\kappa^*) $\n", "\n", ">(45) $ \\kappa^* = s/((1-1/\\gamma)n(y_t) + h + \\delta) $\n", "\n", ">(46) $ n(y_t) = \\beta \\left( \\frac{y_t}{\\phi y^{sub}}-1 \\right) $\n", "\n", ">(47) $ y_t = \\left(\\kappa_t\\right)^\\theta E_t $\n", "\n", ">(48) $ \\frac{1}{E_t}\\frac{dE_t}{dt} = h - n(y_t)/\\gamma $\n", "\n", "----\n", "\n", ">(49) $ \\frac{d\\kappa_t}{dt} = s - (1-\\alpha)\\left(\\left(1-\\frac{1}{\\gamma}\\right)\\beta \\left( \\frac{\\left(\\kappa_t\\right)^\\theta E_t }{\\phi y^{sub}}-1 \\right) + h + \\delta \\right)\\kappa_t $\n", "\n", ">(50) $ \\frac{dE_t}{dt} = \\left( h - \\frac{\\beta \\left( \\frac{\\left(\\kappa_t\\right)^\\theta E_t }{\\phi y^{sub}}-1 \\right)}{\\gamma} \\right) E_t $\n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\kappa_t & E_t ➔ y_t \n", "\n", "y_t ➔ n_t\n", "\n", "n_t ➔ dE_t/dt\n", "\n", "n_t ➔ d\\kappa_t/dt\n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ancient Economies: A Malthusian Model \n", "\n", "\n", "\n", "### Catch Our Breath—Further Notes:\n", "\n", "
\n", "\n", "----\n", "\n", "* Weblog Support \n", "* nbViewer \n", "\n", " \n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }