{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# *Numerical Methods for Economists: RBC modelling*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from scipy import linalg, interpolate, io" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 1: How well do you know your single period utility function? RBC edition!\n", "\n", "This task will help you build some intuition for the intra-period trade-off between consumption and leisure that is the economic mechanism which propogates total factor productivity shocks in all basic real business cycle (RBC) models. In this lab we will assume that the representative household has the following flow utility function: \n", "\n", "$$ u\\bigg(C_t, L_t\\bigg) = \\left(\\frac{C_t^{1 - \\theta} - 1}{1 - \\theta}\\right) + b \\left(\\frac{(1 - L_t)^{1 - \\omega} - 1}{1 - \\omega}\\right) $$\n", "\n", "where $C_{t}$, $L_{t}$ is labor (note that labor endowment has been normalized to 1!). The parameter $0 < \\theta$ is the coefficient of relative risk avesion, $0 < \\omega$ is the inverse inter-temporal elasticity of substitution between current and future leisure, and $0 < b$ controls the importance of leisure in determining flow utility. Note that if $\\theta = \\omega = 1$, then \n", "\n", "$$u\\bigg(C_t, L_t\\bigg) = \\ln C_t + b \\ln (1 - L_t) $$\n", "\n", "and we recover the flow utility function assumed by Romer and used in your lecture notes. Code this utility function in the cell below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def u(C, L):\n", " \"\"\" \n", " In the standard RBC model utility in each period is a function of \n", " consumption, C, and leisure, 1 - L. Note that the representative\n", " household's labor endowment has been normalized to 1 for simplicity. \n", " \n", " Arguments:\n", " \n", " C: (array) Consumption\n", " L: (array) Labor supply\n", " \n", " Returns:\n", " \n", " utility: (array) Flow utility of the representative agent.\n", " \n", " \"\"\"\n", " if theta == 1.0:\n", " utility_consumption = np.log(C)\n", " else:\n", " utility_consumption = (C**(1 - theta) - 1) / (1 - theta)\n", " \n", " if omega == 1.0:\n", " utility_leisure = np.log(1 - L)\n", " else:\n", " utility_leisure = ((1 - L)**(1 - omega) - 1) / (1 - omega)\n", " \n", " # flow utility is weighted sum of utilities from consumption and leisure\n", " utility = utility_consumption + b * utility_leisure\n", " \n", " return utility" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Choose some parameter values\n", "b, theta, omega = 2.0, 1.0, 1.0\n", "\n", "# Check that the utility function is working properly!\n", "u(np.exp(1), 0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "1.0" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "First, let's plot the utility surface using matplotlib 3D graphics functions for $b=2.5, \\theta=1.0, \\omega=1.0$. What to you notice about the shape of the utility surface? Rotate the plot by altering the `azim` argument of the `fig.gca()` function. What do you notice about the marginal utilities of consumption and leisure? Finally, change the parameters $b,\\theta,\\omega$. Try to anticipate how parameter changes will alter the utility surface. Do the actual changes confirm your expectations? Or not?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# create a new Figure object \n", "fig = plt.figure(figsize=(8,6))\n", "\n", "# create a 3D Axes object\n", "ax = fig.gca(projection='3d', elev=30, azim=310)\n", "\n", "# create a grid of (x,y) values which we will pass to function\n", "consumption = np.linspace(0, 10, 200)\n", "labor = np.linspace(0, 1, 20)\n", "L, C = np.meshgrid(labor, consumption)\n", "\n", "# Choose parameter values\n", "b, theta, omega = 5.0, 1.0, 1.0\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# note the use of the new plot command!\n", "utility_surface = ax.plot_surface(L, C, utility, rstride=1, cstride=1, cmap=mpl.cm.terrain, \n", " linewidth=0, vmin=-10, vmax=np.max(utility), \n", " antialiased=False)\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_xlabel(r'Labor, $L_{t}$', fontsize=15, family='serif')\n", "ax.set_ylabel(r'Consumption, $C_{t}$', fontsize=15, family='serif')\n", "ax.set_title(r'$u(C,\\ L)$ for $b=%.2f, \\theta=%.2f, \\omega=%.2f$' %(b, theta, omega), \n", " fontsize=20, family='serif')\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "# display the plot!\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:19: RuntimeWarning: divide by zero encountered in log\n", "-c:24: RuntimeWarning: divide by zero encountered in log\n", "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\mpl_toolkits\\mplot3d\\proj3d.py:156: RuntimeWarning: invalid value encountered in divide\n", " txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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AtfCbqQX4XRZ8FAy7UmF8EejhqIsJFHYDG9y9C4C9mrIjHVu/m22iej65vJi0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\nwIxeC0hJSUF4eDgKCwsxYcIEL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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we plot utility \"slices\" for various values of the parameters $b$, $\\theta$, and $\\omega$. The code below fixes either consumption or labor supply and then loops over a fixed set of parameter values plotting \"slices\" of the utility surface. Example...\n", "\n", " for b in [0.5, 1.0, 1.5, 2.0]:\n", " \n", " plot stuff!\n", " \n", "Try changing the set of parameter values over which the code is looping. Can you explain in words how changes to each of the parameters impact household preferences?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# fix l_bar and c_bar\n", "L_bar, C_bar = 0.33, 1\n", "\n", "# create a new figure object!\n", "fig, axes = plt.subplots(1, 2, sharey=True, figsize=(12,6))\n", "ax1, ax2 = axes\n", "\n", "for b in [0.5, 1.0, 1.5, 2.0]:\n", " \n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax1.plot(consumption, u(consumption, L_bar), label='b=%g' %b)\n", "\n", " # axes, labels, title. legend, etc\n", " ax1.set_xlabel('Consumption, $C_{t}$', family='serif')\n", " ax1.set_ylabel(r'$u(C_{t}, \\bar{L})$', rotation='horizontal')\n", " ax1.set_title('A slice through $u(C_{t}, L_{t})$ at $L_{t}=%.2f$' %L_bar,\n", " family='serif')\n", "\n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax2.plot(labor, u(C_bar, labor), label='b=%g' %b)\n", "\n", " # axes, labels, title. legend, etc\n", " ax2.set_xlabel('Labor, $L_{t}$', family='serif')\n", " ax2.set_title('A slice through $u(C_{t}, L_{t})$ at $C_{t}=%.2f$' %C_bar,\n", " family='serif')\n", " \n", "ax2.legend(loc=0, frameon=False, prop={'family':'serif'})\n", "\n", "# tighten things up and add a title\n", "plt.tight_layout()\n", "plt.suptitle('Utility slices for various $b$', y=1.05, fontsize=20, family='serif') \n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\matplotlib\\transforms.py:644: RuntimeWarning: invalid value encountered in sign\n", " dx0 = np.sign(vertices[:, 0] - x0)\n", "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\matplotlib\\transforms.py:646: RuntimeWarning: invalid value encountered in sign\n", " dx1 = np.sign(vertices[:, 0] - x1)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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d09UiarWpU6ciMDAQw4cPx+7du/HTTz+p7Vzvvfeews0nH8bIyAhZWVnysd/P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\npR6oUUMbM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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# fix l_bar and c_bar\n", "L_bar, C_bar = 0.33, 1\n", "\n", "# create a new figure object!\n", "fig, axes = plt.subplots(1, 2, sharey=True, figsize=(12,6))\n", "ax1, ax2 = axes\n", "\n", "for theta in [0.5, 1.0, 1.5, 2.0]:\n", " \n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax1.plot(consumption, u(consumption, L_bar), label=r'$\\theta=%g$' %theta)\n", "\n", " # axes, labels, title. legend, etc\n", " ax1.set_xlabel('Consumption, $C_{t}$', family='serif')\n", " ax1.set_ylabel(r'$u(C_{t}, \\bar{L})$', rotation='horizontal')\n", " ax1.set_title('A slice through $u(C_{t}, L_{t})$ at $L_{t}=%.2f$' %L_bar,\n", " family='serif')\n", "\n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax2.plot(labor, u(C_bar, labor), label=r'$\\theta=%g$' %theta)\n", "\n", " # axes, labels, title. legend, etc\n", " ax2.set_xlabel('Labor, $L_{t}$', family='serif')\n", " ax2.set_title('A slice through $u(C_{t}, L_{t})$ at $C_{t}=%.2f$' %C_bar,\n", " family='serif')\n", " \n", "ax2.legend(loc=0, frameon=False, prop={'family':'serif'})\n", "\n", "# tighten things up and add a title\n", "plt.tight_layout()\n", "plt.suptitle(r'Utility slices for various $\\theta$', y=1.05, fontsize=20, family='serif') \n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:21: RuntimeWarning: divide by zero encountered in power\n", "-c:21: RuntimeWarning: divide by zero encountered in reciprocal\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vb5w6dcqo9Q8fPox7771Xe1OGP//80+j/W7W3/fzzzzFr1qzmFbyFapeFiKgz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\nSdKVIHbx4sVrxra7304oum6JoC8dLAAAAADFLF+p43IA+v7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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# fix l_bar and c_bar\n", "L_bar, C_bar = 0.33, 1\n", "\n", "# create a new figure object!\n", "fig, axes = plt.subplots(1, 2, sharey=True, figsize=(12,6))\n", "ax1, ax2 = axes\n", "\n", "for omega in [0.5, 1.0, 1.5, 2.0]:\n", " \n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax1.plot(consumption, u(consumption, L_bar), label=r'$\\omega=%g$' %omega)\n", "\n", " # axes, labels, title. legend, etc\n", " ax1.set_xlabel('Consumption, $C_{t}$', family='serif')\n", " ax1.set_ylabel(r'$u(C_{t}, \\bar{L})$', rotation='horizontal')\n", " ax1.set_title('A slice through $u(C_{t}, L_{t})$ at $L_{t}=%.2f$' %L_bar,\n", " family='serif')\n", "\n", " # first subplot will fix l at some constant l_bar and plot u(C, l_bar)\n", " ax2.plot(labor, u(C_bar, labor), label=r'$\\omega=%g$' %omega)\n", "\n", " # axes, labels, title. legend, etc\n", " ax2.set_xlabel('Labor, $L_{t}$', family='serif')\n", " ax2.set_title('A slice through $u(C_{t}, L_{t})$ at $C_{t}=%.2f$' %C_bar,\n", " family='serif')\n", " \n", "ax2.legend(loc=0, frameon=False, prop={'family':'serif'})\n", "\n", "# tighten things up and add a title\n", "plt.tight_layout()\n", "plt.suptitle(r'Utility slices for various $\\omega$', y=1.05, fontsize=20, family='serif') \n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:26: RuntimeWarning: divide by zero encountered in power\n", "-c:26: RuntimeWarning: divide by zero encountered in reciprocal\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ttq3nnnvO60GUDdHpdLhw4YLnPPBbb73V7wu6ay575swZXH311Z7TR1pb7c9B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\nat+zadMmlZaWqqysTPHx8RoxYoTX6wbQOIU6HGoRFKT9paVq/9PtnKy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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 2: Trade-off between consumption and leisure\n", "\n", "In order to graphically analyze the trade-off between consumption and leisure in two dimensions we need to be able to plot the set of indifference curves implied by the household's utility function. The code in the cell below defines a creates a contour plot of the above 3D utility surface in two dimensions and then overlays a set of contour lines for various values of utility. These contour lines are indifference curves!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "ax = fig.add_subplot(111)\n", "\n", "# Force logarithmic preferences!\n", "b, theta, omega = 2.0, 1.0, 1.0\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# create the contour plot\n", "im = ax.imshow(utility, interpolation='gaussian', origin='lower', cmap=mpl.cm.terrain, \n", " vmin=-10, vmax=np.max(utility), extent=(0, 1, 0, 10), aspect=0.10)\n", "\n", "# demarcate the contours...\n", "CS = ax.contour(L, C, utility, np.linspace(-8, np.max(utility), 10), colors=np.repeat('k', 10), \n", " linewidths=1, linestyles='solid')\n", "ax.clabel(CS, inline=1, fmt='%1.2f')\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_xlabel(r'Labor, $L_{t}$', fontsize=15, family='serif')\n", "ax.set_ylabel(r'Consumption, $C_{t}$', fontsize=15, family='serif')\n", "ax.set_title(r'$u(C,\\ L)$ for $b=%.2f, \\theta=%.2f, \\omega=%.2f$' %(b, theta, omega), \n", " fontsize=20, family='serif')\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NO6kOiDqUSGsS/ith/dBjkyzxK86EvtVnm3HVX81CK27lh4/geGUlJowdYzys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\nA539dHYNUFEeYmh9BUP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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Static model\n", "To see what the above preferences imply about the optimal choices of household labor supply and consumption, suppose the representative agent lives for only a single period and has no initial wealth (for simplicity also assume that the houshold has only one member). These assumptions imply that the houshold budget constraint is simply $C = WL$, where $W$ is the real wage. Furthermore, for simplicity, suppose that $\\theta=\\omega=1$. To find optimal consumption bundle, set up the Lagrangian: \n", "\n", "$$\\mathcal{L} \\equiv ln\\ C + b\\ ln(1 - L) + \\lambda(wL - C)\\tag{2.1}$$\n", "\n", "FOC and the budget constraint yield a system of 3 equation in 3 unknowns $C, l, \\lambda$:\n", "\n", "$$\\frac{1}{C} - \\lambda = 0$$\n", "\n", "$$-\\frac{b}{1 - L} + \\lambda W = 0$$\n", "\n", "$$C = WL$$\n", "\n", "One can reduce the above to a 2 equation system in 2 unkowns by eliminating $\\lambda$:\n", "\n", "$$bC + WL = w$$\n", "\n", "$$C - WL = 0$$\n", "\n", "Or, equivalently \n", "\n", "$$\\begin{vmatrix} b & \\ W \\\\ 1 & -W\\end{vmatrix} \\begin{vmatrix}C \\\\ L \\end{vmatrix} = \\begin{vmatrix} W \\\\ 0 \\end{vmatrix}$$\n", "\n", "Note that this is a linear system of equations (which makes our life much easier!). Solving the system (via your favorite method for solving linear systems of equations) yields expressions for optimal choices of $C$ and $l$ as functions of prices (and model parameters):\n", "\n", "$$C(W; b) = \\frac{1}{1 + b}w \\tag{2.2}$$\n", "\n", "$$L(W; b) = \\frac{1}{1 + b} \\tag{2.3}$$\n", "\n", "$$\\lambda(W; b) = \\frac{1 + b}{W} \\tag{2.4}$$\n", "\n", "Note that the household's labor supply choice is indepedent of the real wage, $W$. This independence of labor supply and the real wage is a direct consequence of logarithmic utility and the assumption that houshold has no initial wealth and thus the income and substitution effects of a price change exactly offset one another. Also, note that the household will choose to consum a fixed fraction of its lifetime net worth (which in the case is just the value of their labor endowment for a single period!). This 'consume a fixed fraction of start of period net worth' decision rule is a direct consequence of logarithmic preferences. The code in the cell below uses the linear equation solver from the SciPy linear algebra package to solve for the optimal consumption-labor bundle." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# specify some model parameters\n", "b, W = 2.5, 10\n", "\n", "# Define the coefficient matrix, A, and vector of dependent values, d, for our two equation system\n", "A = np.array([[b, W], \n", " [1, -W]]) \n", "d = np.array([[W], \n", " [0]])\n", "\n", "# Solve the system of equations and assign the optimal choices for consumption and labor\n", "C_star, L_star = linalg.solve(A, d)[0,0], linalg.solve(A, d)[1,0] \n", "u_star = u(C_star, L_star)\n", "\n", "print \"Optimal choice of consumption: \", C_star \n", "print \"Optimal choice of labor supply: \", L_star\n", "print \"Utility associated with optimal bundle:\", u_star" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimal choice of consumption: 2.85714285714\n", "Optimal choice of labor supply: 0.285714285714\n", "Utility associated with optimal bundle: 0.208641532946\n" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can show the tangency condition graphically by overlaying the budget constraint across the contour plot and then plotting the contour line/indifference curve for `u_star`. The indifference curve should be exactly tangent to the budget constraint at the optimal consumption-labor supply bundle." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,8))\n", "ax = fig.add_subplot(111)\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# re-create the contour plot\n", "im = ax.imshow(utility, interpolation='gaussian', origin='lower', cmap=mpl.cm.terrain, \n", " vmin=-10, vmax=np.max(utility), extent=(0, 1, 0, 10), aspect=0.10)\n", "\n", "# plot the budget constraint\n", "labor_supply = np.linspace(0, 1, 100)\n", "ax.plot(labor_supply, W * labor_supply, 'r-', label='$C=WL$')\n", "\n", "# demarcate the indifference curve...\n", "CS = ax.contour(L, C, utility, np.array([u_star]), colors='k', linewidths=1, \n", " linestyles='solid')\n", "ax.clabel(CS, inline=1, fmt='%1.4f')\n", "\n", "# mark the optimal bundle\n", "ax.hlines(C_star, 0, L_star, linestyle='dashed')\n", "ax.vlines(L_star, 0, C_star, linestyle='dashed')\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_xlabel(r'Labor, $L_{t}$', fontsize=15, family='serif')\n", "ax.set_ylabel(r'Consumption, $C_{t}$', fontsize=15, family='serif')\n", "ax.set_title(r'$u(C,\\ L)$ for $b=%.2f, \\theta=%.2f, \\omega=%.2f$' %(b, theta, omega), \n", " fontsize=20, family='serif')\n", "ax.legend(loc='best', frameon=False)\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LHdQKCgpoY8QOrHY6u/fee4mmaeSuu+4iO3bsIDt27CB33XUX0TSN3HfffY5kRcLIkSPJ\n66+/TggJbe9aVFREpkyZ4liOE3z++eekadOm5LrrriPDhg2jv6uvvpr89re/peFWrFhBAoEAGTBg\nABd/7dq1ZOTIkXQzk9raWjJkyBAybNgwLtyRI0fIKaecQp577jnqdtNNN5E+ffpw4cyelUGDBpE3\n3niDEELIxIkTSd++fUlVVVXsBeAAAwcOJJqmKTcVMisfu/mOpXwmTZpEAoEAueKKK0i3bt1IaWkp\nufzyy0mrVq3IsGHDSElJCenXr59pA9dteKGcfKQOfMIWsHPnTjJmzBjy+9//nvzhD38g33zzDXnx\nxRdJv379yM0338y9yJ999hnJy8uzlFdeXk7+9Kc/kX79+pFLL72UjBgxgjz22GNk69atyvBbtmwh\nbdq0Ib169bKUu2HDBnLuueeS1q1bk0AgQBo0aEAuvvhiMmDAANK7d2+SlZVFdyITLVsdhw8fJpqm\nkS1btlgXCuF3OgsEAvR81KhRXLgZM2aQ/v37czudzZgxQ8qjSpYTwj148CB56KGHyP/7f/+PDB06\nlMyZM8d23GiRl5dH9Q0EAtw5a3Vv376dlJaWkvHjx0syysvLye9//3syYsQIcuONN5Knn35aSQ4V\nFRVk+PDh5KabbiI33XQTGTZsmNSDYvasbNy4kQwfPpxcd9115Pbbb08YWe/fv5+cd955pEOHDrRc\n8vLySO/evWnjihDr8rGTb7vhVOXz448/kr/85S+ksLCQXHPNNWT79u3k+++/J3379iWdO3cmzzzz\nDDl69KiLpSLDa+XkI3WQVMIeNWoUKSgo4LZ1/PHHH8mgQYNIcXExGTx4MLcNpNdw8uRJkp+fb4vw\nnOLBBx90XaaIzz//nHTr1i3u6fiILxLxrKQy/PLxkS5I6izxUaNGSTuKTZo0CSUlJdiwYQNatWqF\nF198MUnaRUZOTg7Gjx8vrel0A27M3I4k/+6778YjjzwS13R8xB/xflZSHX75+EgXJJWw+/XrJ21M\nsHz5cowePRo5OTm44YYbsGzZsiRpZw9/+MMfsGbNGkyfPt01mR9++GHcl5S88MILyMnJwcCBA+Oa\njo/4IhHPSirDLx8f6QTPrcMuLy9HWVkZAKCsrEzaf9pryMrKwtSpU3H//fdzH4WIFrW1tVi5cqW0\nb7mb2L17N1566SVuJywfqYdEPCupDL98fKQbNEJMvuaQIGzduhUDBw7EN998AyC0uUZFRQVyc3Nx\n4sQJdOrUyZWduOKN5cuXY+7cudJ6Ti/iz3/+M8aMGaP8ko8PHz58+PAmPLdxyhlnnIF169ahe/fu\nWLdunbQrkY727dvTDTm8hLvvvjvZKtjC008/nWwVfPjwkUYoLS31ZJ2cTvAcYZ955pl45ZVX8NRT\nT+GVV14x/ajCpk2bTD/1CAAI+xEzNyauIYfo/8GcgCjPSVgE4WQYR9kPhHBpq9w5ORbhTHUhwJPP\nPIO/3HFHRF3t6GaedoR8qPLD5EuOb+gYuiRh/flrGp+GJZbpGnJC6RAQ/Os//8VN1w9n4oOmZaUr\n627oIfhb3EvWXfIT4rPuUjjwcWjcIHsdxJvTZiI7MxNXXXqxUHbyuR7nw8/nYfAF54IEDTdVeL3s\n6C8ohgky7kEhHnNf2Gc0/Exq9IwA9EugJHQavtbYoxY6apoWPobPAxq0ABAInwf060D4WgtdawEN\nmqYhoJ8zfoGMULxAQEMgQ8P/pi/DsCF96DX1C2jQmGuN9c8I/TIyAsZ5pnGu6cdwPAQ0kEAoc0EN\nCAaAIIBaDajRCGoA1ICgGlr4CFQTgmpCUEOAmiBBTVBDbRAI1gK11QTBWg2kOvRDbQBaTSa0mgxk\nkmxkkixka7nIychBbmYd5GTlIjc7F7nZdZCbnYvs7BzkZGcjKysbmZmZyMzIREZGBjIyMpD57rvI\nvOsu1MyciewEfejol4ykjmEPHToUffv2RUVFBYqLi/Hqq6/i5ptvxvbt29GxY0fs2rULv//9750L\ntk3WQsXOVtzhc4M4xXMjBZ6kaSLgHS3UFcOpzgWS4zLIHCOnJiZs7mxGxHLlrZOhHFaUI6el+yl0\nErPK31AjbVY24QXo8aR0JHmCk5OCtHGPOX3YeHpDxGgmMsTNP3c0nEjUgr8ua/vuPShp2YJ5pg3S\nBAz59GcEY/wUZWOoDjEY1YCTIxaVoaN8W9iSkFSIAJPAUX7+2xOfDfeCDibIeOcdStYQPj3sIz5I\nqoX91ltvKd0/+uijGKQqyJpz0/8yLXujVmcqEhXBM+Rjds4QlXjOyVUQDNdjoGp0KPIUGXyVqaAz\nmWQFPZRErMiHyt3S+mYU4itpFVObVODKYnBUy0cRPpI4k/so5IUITryVzRJzKJBsIetJ8MSth9m2\nZw+KWyj2iXc5uymLCGRIiAf4ksADSsjIfPddZN1zD6pnzgROPdWLKqYlPNclHnfYqaxYbrBLyiJB\nOQ2vCkvPZKWNZEQbBji7Tx9lHBNRlsGUGpiRMfVWkLYy34rGEhHjG+QkXouaSU4mee15ele1R4LA\n07Xqx4YLnynbK4RvHDD46fgJVFaeRLM89edfzRo+ZW1b28lCAqAh7i2LCGSo8jqtY6t4aWNfiVgR\nY7Fmvfcesu+7D1XTp0PzyTqh8NyyLs9CVTFaWM18VyU460fqvhUtWyLUzgpyYiG+MGdz604T+Dop\nusEpyYb92bIJeendpypSZsgaLMEb5B6+oOmzl2bo2e10d/KbZJhwLgBQ6zoQsPmKhx+TsrZtYlcs\nVRDJwla4dUk0YXsM2e+/j9z77sPJjz8GYb6W5yMxSEvCjr4BSUwvzWTaSou1up2qZCMxa5py0Uox\nseYix1OeQmJcsaFiIkN2jrMllgxIWXKWx+2796B1UQvX1Ek83Hxu459E3BAPHaNsw+d+MBX17r8f\nx6dORdClT+X6cIa0JGzXbMp4GqfRkJ+lPpry1JmMREOzvLTtl46Q8uusALbt3oOSlCZsF2+4P+ks\nimT5hOt8+BHqP/ggfnz/fZ+sk4j0I2w3W6SMLNffm7jVBsS6DFLBqkgIrMf4iUm3gNN9hqI2lGO1\nsHftRolqwpnt9FIRNhutNhFth5KriIcODmXW/3gaGj/yCI688zZqO3WKg0I+7OKXN+nMEvpEF8Jf\nphQ0QCNSYyPlsuECuO5yYpCwvhzJmOQWCsDPxmb8IY+nq8bYTddOhxMlRsJUB9W8MeUSNBvQ73Nt\nbS127tuPkhYWFnaSHwoxeSW/ivxrtgZbiqfRgwaLsJoUxVyXZCFSr1M099BBBhtOn4GmT/4NB956\nE1qnTj5hJBnpV/5RPcTi7KVEzFCNQr5lFCYPOl9z9b7D9Ez0S1odHyFh2SBliJpZQsavHQclUp5U\n2clvYXdK2mw4fi20tPxKlwkxDpsuK4fNCHfB3c9IZbDnwEE0adQQdXJz+J4CywJLNMzesbB7mKE1\n7hyhxqhmELiG0CYp3OYpYAhYMzp3tfC1kuRVmniiT9wC0d5DG/EICPJmzkLzZ/4Pe/77X2hlHZEV\nZXI+3EP6EXZUECuPxNRmbqRCeZUhaePIW4qsFWnENQsDgbzMdY8mH47juN2GEmeUs3nkJr8x53r5\nCJY6E1EoGAIpoMi8YnwXsG3XbpQUFTkTGac2qsqSJlYBdDcoSJUlcTAEbJoyb5mrg4mjtWx0EiFy\nisJGlprO+gwtJ/4T2195GaTjKciJv1amaNKkCY4cOZJEDULIy8vD4cOHk6pD+hF2VJVO9DVVLPVc\npLhmpCgTqGpTEr3rlSddwjA8T9hgSMwgHiO4uPTMTg7N4bjcokwvZg4yFWDmkXTTFdt270Hrlg4n\nnMVJbflJjQ6ROCZ6WvUuKTspK7tPI0Gok8IqYsGnX6DNcy9h479eAE7pgGwHesQDR44ccTx3JB7w\nQo9L+k06c6VMw0JUzwixvLSNLxctwhNPPYVJL72EyS+/jA+mTsXd943HyZMnbcvYt28fRo/9PVqV\ntsfLr/4HAPDRtGko7dQZt935J+zdtx8A8NiEJ9Hr7LMxf+FCAMCqNWsw9PoR+NWgwfjPa6/j8JEj\nfE44shYsUZfgWGq0M32ji5ZUybFi665daKNb2HbV9G52ADh8/hzlxVtLE6R8hjtnCFQ/ojhn3MLD\nLkEAQRLaj5yKJGwCBgrnzEf7517Euucn4mSH9h5ofoYQrK1N+s8LSD8LOyqYdImbddfF+BT/5e57\nUK9uXTx4/3hqtU6bORNr161Dbm6uselKBDQvKMA1v74KixYvxuhRIwFC0P+SS5Cbk4Obx4xB8+YF\nACHo0a0bbr/1FtStUwckfF0ntw6uHn0Vrho8KK7EbIZQMQqFabe7IZFIwRl7W3ftNixsj+megHlS\nikj8oLUmDmJzM9Oi1CMGbtekv4KniWyZoM3InBnRYWLz7gQtv/gSZZP+i6+efQq17dsil0spuQgG\ng5ED/QKQZoTNdO8Kzqqg5gE0iIJMGqSO8cKLL2H/gQP4z78nc+69e/XCpo0bAYS+ET7ltdc5/dih\nz549euCyAf0BhMZVWLz7wQdo0aIQhw4dAgDs3bcPDRs2RN06dWiYYDCIpeXl+OsjD0v5MSrU5L+k\nnoDjLvFEpa/G0R9/RG1tEE0bm2xJaisdt54AWQIRz1Qvq6KX2rLjmp1VpppZrjEkTX/Gl73odHIN\noa9lUXd9Qhv/06CFJ7cx7oI+7Ez2kChm5romnNOJchrVi53iTi/D+dDCfdoaNNq9TSfnRXnTSuYu\nQZeX3kT5M4+hpl1b1PFYl4tXLNxkI6UJ23JcQ9pdLFQRBDLdyfLJ4z85jlNZWYmHH30US75caOgV\n1rNZfj5uGj0ahBC0adMGD4y/LxRJGDsW9+9uwhD2199+i+KWLdGisAUOHw5N0li4aBGuHjKEi/vt\nd9+hSV4eCps3lyz5xNK0aWshBZAYZZ3enS1h61rTNGn2O9tpyi5pY/248RA9HiHqa0aWEQbUT1dZ\niqOHo2+mni9i0AQhIDpn6WxNiDlri+6qa4aIQ24MKepEybor4/A/6qWFSVwzPOk5M4udWtLsOaOv\nTta6G6G6ML1+7IkGfkw6CrSZuwzd/vUOvnzqAVSXtkEu2Hviw0tIbcK23U1izHyurf5Zd6KVFm/B\n6sRonNOwhkdUKC8vR+PGjVDatq3UoNA0DXXCVrD5xzIguekWdk1NDT6bMwe333Yb3v/wQxw6chjL\ny8txRq9ekh6LlywV9hsPydLMSEiZZcFCokd75WMlMmJMVXeHcHtEtRxoYbOqiqFCY58niEUm9hIJ\n6QjkKhLm1p270LqoSFhuJi9DE/0MtyDzLWzzsHLcIO8WDJrL0FsKXObDz7TB2MbTGCYlncAJCRFb\niMdDHqF3KFLBmwQQusd1GmXnjxtGr2Fds9a3/o81ug3L2LDGDQtb4xoCGjRL/eNl75bOLUevf32A\n+U/chcq2JUw3uLcQDPoWNpDihG0NseIz3EJn0Ve40cbMzMpC84LmhoxwZRWsrcWHH32MIVcOBgBs\n3boN/339Na4b3EiboFePHhhw6aUAgLzGjRHIyMCr//0vfnPNNWG3POzbtx8N6zcIETbhc7to6dKw\n1W24vz/1w5AbV4/qZcg0bET3cGBl44IdizddNgXmnvA5ZQpKiMY3aIxlVvzRsAJBycKw6ow/hhpK\nDSJDbjeYhuHbGgzxhq1Oo3wZN+aaXUNOs8NYu1t37Ub3TmWGXIhrvQkXntUhlIYRk9NPCC9e09xQ\nUmZcaQNUT0cvA8LEDEFjrGidmKVy1CyubcJ+FMHMlnu/5a53lWkuRNUYolYyNWt2xwntvliJ3v/6\nEHOeuBOVbYu52eAmi92ShmCtP4YNpDVhm1eeRDgh/B/euoYJuQtEpPrus6hDr549ceLECWzbtg0l\nJSUAgNpgEG+9/Q4GDryCxm/TpjXuv8+6S1w/BjQNWZmZIISgZXhmcJO8PMyYNQu3jfuDVAo1NTVY\nsXIlnnlyAvV6+933cEqH9oJskSwguYllpSoDnizVfnJctkFgEIBBbGyXrh4GwpHVlQ/Hf0GMuUtc\nUcn33zaBM2HlnhGGygjvxOaNt0iZMuT8dYLU5RBs27UbV150AfWP/BKYXMcVzsszHhrERElxsYYT\nR5LtP1/UPHiVAAAgAElEQVSFPi9Nw6wnbsVPbVpK66y91iXuW9ghpCdhE9XjplfgxnkoKK1aOVIK\nuyjO+Yre1BIN68GmkZWVhY+nfoCJ/3gOxa1aoaCgAADB4EEDUa9uXRhiI5M/i149e2LU9dfT62bN\nmuEvd9yOnJwcJn+hset3P5gKQgg++/xznDhxAuUrVmLTli34bPo0zgIV82+UHOvP/LUiXqEhIJKr\nVHaChc6TvlH+BqFDcZR1lktRVaLRVVQmXK8MaOgh//hnTo8jlLlO8ELck1VVOHjkKIqaN2NCe6vi\njYToiDRm+v1Fof2c1egzaTpmTPgDjrUuUpKA1yxsHyFoxAsr0qOApmmoralRe6oIm+1+E8hasv6U\nhG5O7kQ4ioStToM5N7GeTa1QE3mWZKnKk1K+bKXKJAo5HFsunBUdJl2pnJjzSLpTvQR9zMpeVZ5M\nutZWuFAOSmuekcM2JIgoU9X4EKxn4ZyNz/rpMlRjwbr795u34D/vf4S/3nGLqYVuGl8atw5Ketka\nyxbGrrkxcVWZhJ8bHcZWpOFrtieaPbKTvvRJXQFj8pgW0BAIH7WAhgA96n5a2E++1s8DTNxAhskx\nfE7DsfHYsBkaMjL08wAyMo1zLRxOywAQ0MI/gGgaghrCP4IaADUaUAOCagDVCJ8Tgp8JQTUBaghB\nTRCoCQK1teFfDRCs0UBqNLSf8RX6/mMGpv9tLH4oKUZmMAuZyEaOloPsjFzkZtZBblYucrNzkZtd\nBznZucjJzkZOdg6ysrKRmZmJzIxMZGRkICMjA4FAgE62y87O5uoot6BpGn44dNB1uU7RqGl+XPLn\nBOlpYduAZbETVRgS6dQ0AY5oDUf7+kQDXaDJPDJ3E1FdKvKsX4nlKzUgFHJs5cGNjCb3hXQC8dZu\n3bUbbVoVJUudNABBci31aNO295K3n70GfZ+biel/vwlHSlogkEK9zP467BB+eYQdZX2c5IZV9EhV\nvS3g+SzFpZEkCxRdtu7cjTYtW7qdcAogyUTr+QcSaP/JV+jzfzMxfeJoHG5dCM2kc9Kr8Ndhh5B+\nW5O6ighvohdfVLOWhcvGpxez7gjE5NzKzSKQSeeCLbluleXWXbvUFnbK3ywLhPvI7dG1iwVhISoe\nxR2LzHYzv0Kfv8/E9H/egMPtHHwj3YfnkH4WdgqZwnHRNLxhhuwerwS9ADu1J+HPqZNi3BrGuC+N\nR88JPRjxhbFZ/VpPTZfNqmKpMpGzFOHe1dTWYufeCN/A9hgiPZLG0ieYjl/TAMwmJnQ/FOFTmhyt\nq0+dKe/cyz4IwjuiMJurRIHSGV/hzL/NxLRJN+Bwm8LQwLcNeG3SmW9hh5B+hK1pcSFtpdgYSdBV\nDmXGgdX+0klM8Dz/mxA1N/PcdGIYDGKmcRgiZiadSW7huFYz3flJalQNOQMOejR27t2H/Lw85OYo\nJv54+GZp0kVIWXZrT3apMrtlKEvgdEOSAAyi1t3YJdHs5zTZtc6xrHuOB7dJ+ji/iW2nf4UzJszE\njH/dgCNtCwEH3eCKabtJhT+GHUL6EbariPCSJPCZNktK7c5ajZAndYEloNC1blnSWV/MDF6j/mfc\nostGAhGhz5sIeWBJjrWUWRnS5EGFm2RZy+6ynvr9MsmKDWzZsQttiz084Yx7lcIXZq+XxviLMgCO\ncFkiFq1sMZ7ptejllIA9+DK0+fgr9HxiJma9fAOOlDZ3RNaAb2F7Fek3hu2qdc1UxsqKxa4cdcBI\nmrL+nARxOQxHzAzp0q5Z/shahNTqlMLK6XiwXoo/bDxP9psvDkxm+4EAhMevzSaceeHGuaCDpjhz\nT6a3YfWMiT6tP/4KPR+fiU9fvQFHTmluU7799HyEcMMNN6B58+bo0qWL0n/evHlo1KgRunfvju7d\nu+Oxxx6LOc30s7Dj1CUeG6LRh//4pNJetKr/TR3MyN5MDVWjwExjH9Zg7qitHk773aBbduzCGV1O\njVXMLw9uMHaCWZ99g/VfMHxs9dFX6PbYTHw25QYcad8cwVo+HIHRC8HKkuGtpowXdzobNWoUbrnl\nFlzPbFol4rzzzsPHH3/sWprpR9iuInVqutg1tdmmTp0iiQh7nGmnAZjcQgkGg9i+ew9at/Rwl3gS\nIQ1Vg5+MRsNpwjnb5R5Vog48IqahARoxa3YDAFp+9BW6PvoJ5rx2A450KEQwSCSyFslelOFVeLFL\nvF+/fti6datlGLc3Wkk/wlaNFcapmzwuTzpj8ToRz4xOc0cn0JjkHQ6apyTs9UrbCZXcQtlz4CAa\n1q+H+nXrqvV1fC/jPQQSQTJRjF/bhjGd3PhUtf51LX6CGj0PaIK7GFbxA0/m4uQ5cZydNhpU4+6M\nm8YIJxqgBdgsadBAwrnhy7Dlh1+h86MzMf/NUfihffOQyW0BOwM9XkIqTjrTNA2LFy9Gt27dcOGF\nF2LcuHFo165dTDJTmrAjtl4UE4LEc8uuXtOBaxcfZiF9iS+F8WTzj2iE/xAuNoytOw1nZfc6PU+l\ndncCEK8hFpsiLYOFzaQt23eiTauW+jQE7j7r95T9GAh3z8NxuDeFMcdC/kYgdma77E8kwUyyhn5g\n310+DjdZTO+/lS55D5EsRTfRWmaXfRn8KJKn8blLlqipcCYdpTWuigPjk5piA4LXL0zWGpNTlvTZ\nvBGgxYdr0PGRmVj4xij80LEQCNpp8HiryzsSvGhhR0KPHj2wY8cOZGVlYcqUKbjtttswffr0mGSm\nF2Fbja8qwlKCohWWUXNJM4SZ80j2h6lBY0q2JsuBdN1EsgYzc1tJ6HqemCOrmSsE5BbjuJu069xq\nR6DtNIniTB1E+YwR2ZUA2LRjJ9q2agWdEaW9vhnCNt0DnBCAyN+w1vcGZ+VY7ikeDO1Dzu5JLobR\n8yK+Y7RtpLeJGVIMGd0h1gp56XE1gb4FlrcDluSFrnNN6CfXmB80LbTvN3Othfch56arUz/WTVTA\naDDwrQ3+XMxZ86lr0O7hGVjy5g34sWNzv53tIpYuX46ly8ujjt+gQQN6Pnr0aNx3332oqqpCTo74\nbTT7SGnCtq5MicJbWKIkELWStIlVXMJc6mF5crRNIKJ1oh+ckLUVIRCFu4lyhPEXGxSsLrJOJg0F\nxk+lnUoLwpWfIIeK00lA1IFtAOlZCbnzahA+8URXdhI5E1p2xuPErgM38sGS4JYdOzH44gt5a5ZJ\ngrbhKGES+g/MjzWUjVUEshwQ/hxMHEOqUd5cfvQ8CO9JOKt0RZc0K0qD4KEqTGdEbT80Yyrz/M0L\n4yxvPo7UfW5K3qKC5j16zaauQenDM1D+1mgc69jcQWWTekiGhd27Z0/07tmTXj/7wiRH8fft24eC\nggJomoZp06aha9euMZE1kOqEbQZC5Eec8HQmVfJgyIElGzEua+WwFRpRhDfxNyNNbt2uedaMPEie\nqgvhSBTBRX2pRQWDMFj9OCvJiMfv9BU+k46yDLUO/DkR9dAtNALunB5FS47yh054TClSMnGrwuOf\nBepCnyuGojnCM8IYehr5ksgaoe+pb9m1G21aFrFsK5CiuXou5VLpaf18xgkOeNs5xTNIUo+yXoRN\np65ByUPTseZ/o/FTx8IoyDq1yN2LY9hDhw7F/PnzcfDgQRQXF+Phhx9GdXVoK7mxY8fivffew6RJ\nk5CZmYmuXbvimWeeiTnNtCRs1aMok7XgzxI31+qPQNwC8ZgStRBXRXSsHNG6MYe7L57ZZh+RCNaK\nzCUytSB0w18geUMRidSZqOwfwY+JQzOryL+Fn23YikuUP7ZXh2ZZyX4ACMG+gwdRr04uGtavJ1fa\nbFlEpaMPr0EDkDd1NVo9NB1fv30jjkfdDe6PYceKt956y9J/3LhxGDdunKtppiVhuwaucldYTRHI\nS+kXIb545NNm5drUOxmQ8mFG6DpBg5qXskUOBYmDsTzBkzl7nYYQ2xubd+wKj1+ndbbtIyYechCZ\nLewEcl+jqatR9NB0rH37Rpwos2FZm+rmPy2pCJ+wRRDTC0uDRS1L7hp3bkHbTMrk3JMQiVW6Zo92\ncqO4Tx6Gm/pt2bETpcWhHc5cXr/wCwSBbfYVZ7PHDYbwhlNXo/lD01Hx9k2oLLO3g1n0unnLAvfi\nxinJgE/YIrhaz68CfXgbm3fuxMALzo9dkFcfc8WaLXFBV2j+lrF+ypjtLe6IrXGnMiUlg6QiNRJC\ndVCDqavR7OFp2Pz2TThZVoj437AkdSGYIFjrvTHsZCAtCTuuu5NGw+EqhVxWklXL880MFxVUiXIu\nXjlAbBI0Rsku3phgMIjNO3ahtLhV7MIS8dBESINSrjghWxPXLPMbnYB1owI0GpZbU83SO7OOK1E9\n6dFErv/hauQ/PA3b3h6DKruWtatIfm3iW9ghpN/HPxAjD0aKG41s81luriG1usTdixOZatnudv5c\nHEMPjZcT9ZwCZg4Ct6ZYnLkuXIcvjDH7sBB2ErecB6JwlEPtPXgI9evUCU04MykL22WdwIfGyurl\nz8M7lHGOGkOxdLU0s+TZOOfJWOOXYbmJOJZdvTBZ7/jfGFSVFbqYVPKtZh/OkZYWdkrAdYtGPTFN\nSQZCsLSEYoa4Tsj8EqlQIOffs4ZxHiG86M7HYckfzD1jCB/q27V5+w6UlkSwrqN6zrz/cHiKbuKk\nTL0PVyPvkWnY/dYY/FxWGM+kFPBUCXtylngy4BO2iIT1J0fRcUuD86SsDgxqQYKZdR2SY1h+OrGI\n7opEpfCW8RIMy5Rp3gl7SomRn3EuzEQH684QqG5BK9yUZA227Ng4rJoRyk/w3rxjpzvd4UDqz91w\nk188wFV1P1qNvEenYc9bY/Bzp8I4pBDp/nrr/ntxHXYy4BO2iEQ9pzbJzaybk6ESo2vXWAMFugxK\nT0skcEaHiBuhKHT11uvMwmXNbIiLLkWbsSyCbdq+A7/uf3FUqUerjmdBAKnP2wnxirO+TXrq44tQ\nSnU/Wo3Gj07DvrfGoLqsBaOUu+CbjmpdvALfwg4hLcewY4JnnlMHTKEKKvgxW6CYkDUvxjDm1WQe\nK1KdHxIGk+cxGAxiy04bE85+UQXtUmajrAPECe2qnUf1/dD1c3ainQag7sdrkPfoNBx4cwxqylow\n/sYseBYEANEM8tV/QX34hfsR6T1n5bBH8dyHN5DiFrbeFNbJxyyM2p3tJlYHt3q0440U7JZ0AMe5\nszHDmDiUnNwStpm6yfO4c+8+5DVsiPp16yp7QPjQJp3teo++5Mn236QImElm8sIvPhw7IS3EnxKl\nGuE0AJpCjh5aImRForoM/YtgYGe3G+nUnbYaeX+djgNvjkF1pxa8v0ouU/2xzfHQnu4aCAGCIAhC\nJ/Hw9DvCDRBJZM36eQW+hR1CShO2ar9kYlLBGX5Eca6u2pL6yCZ8PJiE3n1vvacG7A7vOsiArZBx\nY3XzhiTrJVWc4fxt2r4D7UqKmW5NvZo1/tFrZoId9+UtkziMOGms3rwoXC73WMAuC9OEmeL6THM6\no1yjZGp8B1v/fjb/CwSMr3GJfvQXoB/wMv3GNjR2VntIt3rT1iDv8ek48MYYVHdsEdVjpwqvhSVZ\nPG0pAX8MO4Q0IGwrf0AmbfNr5Z7e4rnuZFvLCIjU5SxN6OKPhLvWu7xMOrZskR6fnmkUxfi22opT\nl2PkvguGOMT8UC8ilY9ehsZR7H3hl1epU7dfZrahzAKjG6cS4R8DdjIbQmW+cdt2tCtpZfhRXiWM\nGz+LXX8faLkJYdhrlrzpmTi7nSN6Jp9CA5jKEibpcfdWC3np2xOEyJYAED+fqYDSk7Gyhc9bcku+\ndMuXIXHA+KwmXSKmNwLYrm7VD3paGk/UjFbiJzTrzvgKeU9Mx4HXbkJNx0L1+LlnhuqSA9/CDiGl\nCTsyIjFUDLWxFDeyLO5zlFwclnTk/bQNAtJJSvTn3c1nbwvXJrxk9nUubt0xI8dqT3QuvpWfJIMp\nJZ2IqLUI3nLU4yn1CIdXxOevmXgcYmVstpD5xgLRyU23eFlC1EkYjBsMK3nzjp04u0c3iXA5XpRu\nM19m3D1XECthftI1BD/pO9jh6yCbJn+/RO10q1KjPhr9K353M9TpqxkioiA0cR80k0D0YNo1rTvZ\n6D4XybjejDXIe3Im9k8JkbXYvR7r05cu8DdOCSFtCVtpfQvWHjE5ByBUKoI8BTFwYRSVknGqiiOT\ntPGFKoaYhbQZhYx0RCf+VKqklflhwynSs0e4Kn+7ZM0TLUuufPkI14r0eLLWnQxiM4OVX8TA3LPC\nHRhHpjwoSYLRUSRrg+Crq6uxY8/e0Cc1aUjCyaU/s4wQMSynhiSPCGlIVjnrS4ncyC9f5vxzoHOx\nzruEkiTDxLqKYas7rganxh3ihnozv0KTp2Zi/39ulMga8Mnah4z0JGwTsjYjITPSlfxMwlm66xUV\npxdhVGCIRThyFTorm7qY5JUPEVNLXSJwJk2VBS/rKzdC+HyqyZsPy1jPLFlzaTJaUr2izDRitG4i\nRJbJmz2PnOq23XtQmN8UOTnZDlsWFohCjDKKpT5sQ0Zo1MTKjk5luMHGMcio/8lXaPr0J9j78g2o\nPUUma128T9oh+HuJh5CWhG35kLPkK7hZEblonSvDm5G4KgwX30JnG29spCCuvfSRyIFhd4G6mayK\njRKZrLnuUrNeDkXC0XOXy9ViHGtZAmDTtu1oV1JsP9lfQq3vlDxtELwb7QgVGsz6Cs3+/gn2TL4B\nNacU+mtrbcDvEg8hLQk7Hi3T2OSpYrunoWV+3bLAAGNGUJwRbQrR3/fE2jKxprZp+w50aNM6cQlG\nCbtJhogxXvRogiRN4mo4+2sUTJyFXS/egNoOasvahwx/0lkIfuPOJuiLJRBWLPUgjRvjW0uUisQm\nVB07Oc0gJxW/W3q4ldN4NNU2bt+B9q1LYpQSJ6hmOCcFNnuDEoiGn36D5v83CzteGIWfOwhf3fJY\nL0icZwn4iBJpaWHHAwa58lZmLMYLjRvjy0on6vD9/DHJVMd221SzJ8+NMXgrH/0ecEMgbJc+OxlP\nn2wlymYn1XFnQkjFMLW95kLI7cTJkzh45AhaFSbjM4s2EMWN4jYysQxorKQW3cVzY2cwk4CaqY+l\nW7Ro/Nk3KPznbGz/5whUt28uW0oe40fVeolkwl+HHUJaEnY8xmzNSMMLj7Ut0nejKzsB3eHKZGMK\nwI5vK2YrS5PbGHcYBE2Jm06k02ed88uWLOXRsX12SRSMxgKrsTTzPHTYvH0H2rRsicyMDPuVqhce\nUgGapoEQwm3/TddJQ18mxS56Bvej65sDzGYnzBHSuSEbVD6rkOLUJRJtPOcbtHj+U2z7x/VqsvYR\nEX6XeAhpSdiu2YEJGrN1DKVK/IQt08aFYvKbWpw634lotIj3z+n95EqAiOcsaTLX7KxzYWlYRLKG\nDbJm0+HKXmds3j2sgJAnYMO27WivmHAGWJSTR6cbm36fWiBudlOS0LXGuAEcmev+MCLzJK1JRK1U\nw67VHwF5n3+Lli98is0Th6OmnU/W0cIn7BDS7/mJE8F6q75Tk61qaRTRj4ylyPkTgyy4jTsU8tQa\nxB9upaXsiTDpuXaSOF88Zl3hEfvBbWHjtu2m49emIhN5s+LdtWu2aQk4zo4dLpRZky++RasXPsWm\nvw9HVak+hBHfAor0OPtIbaSfhR0nq9hLRgrVQ7XkzMJPaWETonzJVWmY2+6/RDDlEM3DEUUcfUvS\nEVcOintaUcNBOgTu0per8mIU1GTut2j10hxsePo6/FxagIBqzFwzxtpDjQ3jnAhDADSWpvfihMLo\noyr0ix6goywI9d9o3LQJ+hYTIwwI6GY1FB57zf0x7BDSi7D1LkjJ3YLQEoxo6051HENazLmxIv/I\nivwCkfgm3KGjR0GCBM2a5NkKLzW6VAHY2lyIGVXuHBSL27ZmdL3YJgPZFqGVljzj0HTudyiZPAcb\nnhoWImvqzX8ARO+Pp1uWBkJj8iQQHuNnx9/FBiI0o8cMQND0F/5alz5UE75Bxn4Iika6Asl+7f0u\n8RBSmrDlMT/5gnCXRutSd2O355S6TFXjvDESvf3YdrpQ4/AaeXXcPt1gs4jZYPVyc/HHUcPphK3w\n0DdHvKFRDf2EbYcJwx/6OD7zj6u+GXlqUo8tX3rQ2EjbGIDWmL/sqT5uzX8q0yBKSp70midR/QMe\nqi99sB/40Mk4f36IrCsmDENVmKzpWDqrnjAGL34ghIAhcj6rtJ4ibGAJhLlt6pK2ulXqWfbJg79x\nSgipTdjBSLWDQNC6m9AdRGlbRepxhNqw4bu2nJIy4eKqY5tJJJyACKkTMQWTFInJuYV0yxyzN0Z5\nk4wC4DVyUhIOEYUYxYaq4YvQ1ZEfj6Fxg/oI1tYiEO5Pzc3NRed2pQb56qQrzEFg5ySotniVZ7Ur\n4jAELk2MM2vICveDpQwjLDH8YmfsMDjWNlxZC5X5apZIzHR2eYA5V3O05S9/3lq0/vccfD9hGKpK\nmyMA/otdXKNA1t4yS86LSWZyJ8Vtvqugj2QipQnbGiwx82703IEoi0vH8QGW75hZyOGwyj3FGTJn\nGxvqsHqjg0hpQDjy7uDicfEjyFTpKh2ZMBBUMdhVkE/ddPLQ/XSyYtIgqjR0QgKVEcqPnqxQphSW\nLQ0TN3Nw95hmSyZLPcwDE5/DnTeMQHGLQpyorMT+Q0ewa99+dGzTGo0bNqCkanx4gyVvUXuZbIXi\nMPhWL0dRJ8W5+NUusdGglBMuB1riYUU1LUwouuLc17nsHvW4FjeCsVo1FdFr0glVx6rLvdmC79Dm\n359j/RPXoqptgTKsshvdW4YshecsbL9LHEA6E7ZE1pwXd0L4PwY50mBqxuUIy5TI2CjmYYnuLoQx\njcMSjUSaPBGy2eEMVKlMRJKETNYOiDpS48OsHOS0dULW/VjSNaxIyj5iubHyxZsvnZs72QZbxqKl\nQlh9KWca7RUAe/YfQFZGBopbFOJ4ZSWmfjoH31ZsxCltWmPJ6jX4za8uRYtm+ZScOXLkGiXyS0DL\nlw0rxOHK2oqs9cYCbSjJYbhGifgwcu9YmKw1zdCRfsZLA7Tw5zQFbk4aGB3yF6xFm1c+x9q/DkVV\nmwKPLL2J5QH2HvxJZyGkJ2ELlkzYkSFxhkToJV+ZcGtlOZZTE7WjD38w+kmEYpGGoR34vEie7IVc\nOVpC0JvTUwzKiCVEcGTJmiVdG0TNkzRRyJEJ2pDPZlmVZ/5eyr6JqehYgmOJDoTgh2M/oUnjxgCA\nvQcO4tDRH/D4nbfhRGUlZi9chMWrvsJV/S+yqbH0lFgF4/WzDmI4EpVnhBR1b3ZgVuNOokAC2Tys\nf7OFa1H66hdY++hQVCaIrBORQ691ifsWdgjpSdgm4MnacOSsP4AhDiMW1whwg7QRzUthHp71Sdy7\nJjcKDL5mG0UmZE3ddBnmXdy8HPaeMcnTO+ytysYpOpa2QXFRIR589nkUNstHZkYGTlZVoU5uLhrU\nq4cNW7clW0X34QWr2Qk0oGDhWpROmYtvH/kdTrZpFkMWnPWNO3q6o3wV/C5xb8KzhD158mS8+uqr\nqKqqQr9+/TBx4sTYBLpVh0uWiJ04ilAqq9klmE4c9QrMrDGHnQFmQT2ffxu4bvBAfL1uPb6t2IjF\nq9fg/159DdU1NWjUoD4uOqt36mcwxdH8y3VoN2UuvnnotzhZ0ixGyzrKnoE4Puhes7B9hOBJwj58\n+DAef/xxfPvtt6hTpw6uuOIKzJ49G/3790+aTl5/fI13V5jYlEglPFJIHlEjatTU1iIjEEDXso7I\na9QQZ3Q9DdlZmfjpRCWaNmqI/Lw8T1aojjRySDZesveaL1qH9q/Nw9cP/gaVrZtJm6JEhyhI2075\nRamb5yxsfwwbgEe3Jq1Tpw4IIfjhhx9QWVmJEydOIC/P3mYRMcPkJdAiBUgyDK1sLBmJF7z1jjsE\nUR2kCyJ5qOIRZXw7T86+g4fw2ZeL8cSkf2Htxk1oVViIenXroLhFIcpK26JZkyY2pCQHjm5/XF4j\nBxpE+awWLl6HU16bhzX3X4PjJc1CjjHnxXsvjtcahMHa2qT/VFiwYAE6deqEDh064LnnnlOGueee\ne1BaWoqePXti/fr1MZWDJy3sOnXqYNKkSWjTpg1ycnJw6623onfv3olJnGv5p36Ha+poGgGWGbHw\nVExAk2eOE7W7mT8zK5qOtYtu+ng9Hc9nwxuqiZq/P/szNGnUCGf36IHFq9Zg9dr1WLbma2RlZeJ3\nl/8KPTqXRS6rJMGxha1006QhXU10pz9NOBrxNE2WY0WMqpVdYujCJevR8c35WHXf1aiMtRs8URyd\nJhWAVzdOue222/DSSy+hdevW6N+/P4YOHYr8/Hzqv3z5cixcuBArVqzA7Nmz8ac//QnTp0+POj1P\nEvaBAwdw8803Y+3atcjLy8M111yDGTNm4PLLL+fCPfbXv9Lzc/v1w7nnnhs3ncxGnL1D34oBYMGJ\ncBfqCXJ2U/E86CRBnnBVZC0SMntOhHN2NjdRyrGa3c6EpSQOjsS37dqNXw+4BM3y8vDGx9Mx5NKL\nMHH8Xfhq3XqsXrsepa1aolGD+g7LIvpidIJY3gV2+XOIZ43PZUYkaMaN3aSEfqkrvGEJWHlcohbn\nYbRYsh5lby3AynuvxoligayjIV+pCyZODB7HhsGCBQuwcOFCz3WfJwo//PADAFDeufTSS7Fs2TKO\np5YtW4arr74aTZo0wdChQzF+/PiY0vQkYS9fvhxnnXUW2rdvDwC45pprsGDBAomwx993X8J0Mioj\nvlqKX10oSzY4lZ2xHg5JrTrDkVp8TGTTmexWS60YP/4o6JUybA65gaKYvS9lRzVRkF09IEZSnCvu\nKvT7WVX1M04pbYO1GzaBkCBOnDyJPt27AQBOL+uI/82YhczMDMtsKZGgVmXCb7+wO4lyz5OYyCQU\nt2jpepS9vQAr7roax4vz3RlHtGn5xwwHwzFOce655+L888+nu7k99thjcUglhGCt98awy8vLUVZm\n9Ka9ogAAACAASURBVHh17twZS5cu5Xhq+fLlGD58OL1u1qwZNm3ahHbt2kWVpifHsPv164cVK1bg\n8OHDqKqqwieffIJLL700MYlzT7bqRUpQtWT1oold9uIyNN2qY7psWcuQO0cEstZTYSxWU72cZ8/7\nsNXzEF1uxFg52dno270bFq1cjR9/Oo7fXf4rfDTnC+w/dBifL1mGRg0aoH7durEnFCck1c6KS+IE\nRcu+R6e3F6D8L7/GT8X5kaNEhEb/0jO2G8B0OzW2YUL7/TkvIvxUEP3FcF59L4PB2qT/ogHbg6cj\nlh4JT1rYDRs2xPjx4zFkyBCcOHECAwYMwAUXXGAztu0tHxzBkJDoTnCLtEy8VPPETQ0/xlomomco\ngG11nMDtUvRqRcNDeHElF6CsXSnu/cMYgBBU/VyN5/77Bp6a/Ar6dOuK31zm8ioJlwstanHW/GQe\nxg1YyG25vAKnvrsAy+68CidaObOsaZ2syeRMx+TD1Mv28hsRjIih4Ey3OSHcw6MiaI68w71thIQj\nEbZfx0x/b3VzJ2Md9vrNW7F+y1ZT/zPOOAN//vOf6fV3332HAQMGcGHOPPNMrF27lq5wOnDgAEpL\nS6PWyZOEDQAjR47EyJEjLcNEnslIBL4xHla+2zgcVhFfJdNVRBpLJibh6F+2rUwY9RR6Wqoe9tQr\ngjjPEnVbejQNAFvhXf16GV/LilL3HTyIPQcOIhDQsP/gIRQ2y8edo0eAEIKTJ6uQk5PN60I4cZwz\nf870qvDR6IgH76P30hi/SOnYybpGACLeKG48mbcYJXddDtQ/UaiyizzsoGmKc43armhZ/j1OfW8h\nlt1xFX7Su8E1fWxdM47MJ7U0QRnOYGY+PqKnaYzRGz9NAwhDlhr3R3hHhQvZeiZgv4fNUL4BncxZ\nB9ipW9MfZaVtUFbahl5/NHcB59+oUSMAobH8kpISfPbZZ3jwwQe5MGeeeSbuuOMOXH/99Zg9ezY6\ndeoUk06eJWw74B8qi65aIvizpiQ7Bil0AUNw51OKSmEqgdeWMP5ms4yZeKoucL2G5fz5az6dSDpy\nMVQBzWXYCBaqZqIsV1VbhJj7OZFjLtgKdpsL5mEOHTmKV9+bimPHj6N9m9aok5ODbbt2Y8uOXejT\n43Q0ql+ff1ZZaTrHihPiLCbIiWHM3FT7hkN0YyjBOAclVwKdrLUwfTDlxvbuUuPSmHDGGZsCAXLF\nL56zxMlYtsZnLTX1uaah1YoKdHl3IZbeOQTHi/PDX/LSwH3FKwD+PGAQOBeeiccSN5shnueNv+5Q\npvyOKW1nITHPWdgeXYc9ceJEjB07FtXV1bj11luRn5+Pl156CQAwduxY9O7dG+eccw569eqFJk2a\n4PXXX48pvdQmbKtHWjVxSDGxSArrIIxym1HV+C/VVzgxeFgOqQrM6sdN/BLbx3ahDi02K9iGAs2V\n2JAQjtSfymN7O4iYK0X6Rv6oHNpo4RspYtr8rG/jnnHXTD4iFEdkSKRuUyjjtXTNGlTX1uKxO25F\ndXU1fjx+HPsOHMKS1Wsw4cV/Y/Q1V6F9STFHlhxh6may4SUnY0G0evkZcQU/8GlSuURIwwwsA1l1\nd5v5mZnLJrwiRtOU8YxZ5Pp5qxUV6PLeQiy5fQh+apmPACV1xoIW5HDqa3xbglVCbxioeg3E4EQX\nFjNtRyfDaxa2V7cmPe+887Bu3TrObezYsdz1hAkTMGHCBFfSS2nCNoUFWXOkrOiGFq3SSCTOVoZi\nePW+4erKXSQ1y8aIHUhd6HLqhkryZDPlkqQIxCw1VlgdVG6KsMaRDQPD0mP9uDiCboq8yCRvNDqI\ncSUXVCxgCY0jQloMAAFaFhRgw9Zt2LZrN0qKWiCvYUPkNWiAjm1b4/WPp2PN2vVoV9yKRiCsYEZ/\n7keIeT4i5C++1bV79qObaLWiAl3e/xKL/jgEx1vmmw9vS40ImYMt46UAPGdhe5SwE430JGwrWLQc\nnZC1rQ99sBacQO5qsgpLYLjdzIohijNrWOTb5Eo9Ws43PKzJ2iBPyY0le1VjQNFooDJYK08oO8MK\nN9IF58bdkvjASq4JuZ7WsQO+/r4Cz/33DRS3aIHWLVugaePGaNygPtZv2oL+/c5ms8I0lNifU2V8\n6CheUYGuU7/El7deiZ9aNvXG8hmClCJ5H/FH+hG2yrqORowk1pqslQSsJGzGopPCmViuDCna0dUp\nnNo7rGWuHzlqFxsg1E0en5eIWiByNh49p8GERgNV0EFmTCK4RXOSHJPCzszIwPArB+K6wVdgwfKV\n2HfoIFZ9txZ7Dx7CgH5no/fpXZyn5cMWildWoOvURfjylsE41rKphzgyeXfUc13iHh3DTjTSj7DD\ns3pd6XSL8NCqfInygu9qleJFsMgiBeECJPM9U2deIFS+ANRlKFrxNpN3lHeiOHMfdp/D3fv248Dh\nI+jQpgTnntETlVUnkZMdmhVeW1uLQCAQ30o0oc8Nn1gyCbJ45Qac/tEiLBw3GD8VeYms4dIYdrRJ\ne6ok/C7xMNKPsMNw5TF3dUlPguDN4UFTxFtdbqxXav0QrqHDdaMLPSFGpwIx6cWJPhfzlpVj47bt\n2LxjJ2pra3Hz0N+iVYvmIITQL3fZIeuYyjKhz406MYkiNMWFFY8ws8pV4fWJZ7pTyeoN6PbRIiz4\nwyAcS0Q3eAzlm2j69J6F7RM24NGdztyAt9qHKrj9Qlh3m1slZ1uTOLzD9kXazYA4jBD6Q7vRaRc7\n0+VOCAgJAsHwMib9SIKgk9uC8pImfuIbZGKnWlh3KXz65WKceXpXPHb7LbjsvH548a23sf/QYQDA\nP197C99u2GjL4vFWFRsdNAhLufQlV6wbs+wrwBwDup8eljsHXdoFAK1XbUD3Dxdh/s0D8aNgWdM5\nZW5XIk7leYw0k4lgbTDpPy8gbQk7rR91G5njLENurJwfZ5bGoZnxYyrJpA8/XmUcaz3JGtOsA7c8\njI6BM6QbLh+pnBg3drKb+Ve+2DIWJtGF9dGLfe/BgzhRWYnTTmmPYDCIs3t2R68up2L6F/MAAPsP\nHUJJixa2Km/vN1JlKFdrKSxkbr00wFnSmhGAxjFWT2msMwANrddsQPePF1OytlYsiYhnt3RaV5Dp\ni7TtEk+xnmFHsJyZrZgIF3mvcNr3K8+2Vh6j1dteiKTcN0WinJXMNmjorHVxRrswqU6XQRtBuuVu\nhKn+uRpn9+yOypPhMWsA5/U+A1OmfoTpX8xDTk42GtavZ6uLMuWfd9U6Z5fRevUG9Ji+BPPGXoEf\nWzQ1T9JjhWmmju2nQgwYoZw9N4btd4kDSEfCTptuJGJ5GSF02JFw59ZkzRnbCsmqrma34fVmlqGb\nUUbicjFmjbdkuctyipoX4KI+ZyIYNAg+r1FDXNznLDw26V8YEF7O5ZLasYWJI9ykBzNZbdZsRM8Z\nS/DFmCtwrEWECWZJ5Cvj0SJKPfQFFszTpTcfaT+S0YvEhwU0rqdJ6ojSw3usHvUnnYWQPoQtPGDE\nwk93i/hIeuyhTTRSPfs27rBZxPgjXLiBQAB5jRrRLnZN00AIwWmntMeoqwajuEWhuWK2G3EmJUGM\nit2R4DggRCVquMGdbb7aiJ4zl+Lzm67AsRZNGJnsrDSzbdZ4F6VVrlJSNTBuBVZw+Fy8E6pr2kAM\nnxMCBEEQDF8HaQ+PITDIJEUgnoArCy9UA/6yrhBSmrCJnZtI2GqLv5bGb0X/CPLcQPRdXWIERfct\nnJCWiSUdKxgxke1ni0aXk4SE9LxQ4ZghGAxydTkJBil5XXpOX/6ZJfSPEZ41oQiMsXVmUpw01s6G\n4e0ysGYZMyGeh6iHWwVswtpKZxMCpDPEmSHwtl9vQq9PlmDOjWGy1vfwppPRxI9xgLtmf/yHOvgP\ngHB7jStlsNeCf8BIFxpC+67r2dCMAqbZ5siVudZCvOygeCVxPryLlCZsO+Sp7NoxI2iz87iCoVa+\nb5VWjIQNpxiPtiU+Wn9eRdlR6Efnl1EJYkwtOQdlzZKFgsBYN5W6HIWrAzjTJ6rwRgx9ffXRH35E\nvTq5yMjIgEYIDh39ASu++RaXnN0HXH4sSNnKLWR9GX40DBRxuI5UYXY8lwF+Il2k0lCukmTnlpmR\ncCRXTR1O04C2X29Er1lL8fnoK/Bj2LLWZ5pbkbbsD4HIzX4MmbMkDj2+eTr0YyDhI9EMXTUQYVka\ny9CqEg+zeJTzAvwucW8itQk7AiKSte4U6dpEjn09DMksb6gme/GTxQxtIu3BrRyjNiN3he7USWgs\n6AShTEtoZHD5oXlg0xTDiemxR8aBsHJ18tDT52USIbxB4Ky7riEz3mxSLtGQMc9e/Dkr7buKjfhs\n0WLUr1sHdXProPLkSXRoXYIzT+8CgKCwWT5DuMa9UH1ZyyBdo6g5bZgw0nPIeZkQPr2XESbaiSY/\nIFmAEE8p4QqelOgERlYQkIrw2369CWfMWoo5N1yOHwqb0E9kSunZ6LpmSdfMXxIhyNVkB2XyxIY+\nbKFKDRWzKCkMn7BDSF/CtkOyCotarLiVH/vgyEQki5C7EYQPqzpyZM1WfkKaprqZhIlEP+ZLu4yJ\nVBLJm5A/+3ETNj8Q5KkbKTLhioTPWYI0HXUcW3KUJRIdPduBQZBGPv79znvo3+9s1MnORlZ2Fn46\nfgKbd+7Ctxs2YvBFF+C0Du0lsjYIlydG5TUR82o8elSuGI/jXIOsjfvMxJWeV3YohvtDoXFnhCdl\n1tpFmOAkkubpiF3NxYou/WYTes9ehk9HXYYfC5u4T2K2SDUCXHjYTIol7eCPYYeQnoQtWDK6G8AT\nsuX+4FwcQl8uNTGpSNuEnKhYFckLeilI2lJfRX5N/W2Cq4CNQghfESkUnzcoKnXwBKAsB11vgXxp\nMiwRESZ5UR/v4tDRo6iursFFfc9CRniiWTAYxO79+/H5kuWY+tnnGPXrK5EZCHDZMQhXzqVpru0W\nBzG9kN2sEkty8Zd+swlnfroMs0f8Cj80bxL1ZhO2OdD7j5uPNEHabpyiAkfWrLuKIMPn/EcqmHCW\nZM1YOAJZU/OFsz5skqqq18Au4lGpyHxNj0aZhByMomMbSeCLgrBkHUEOwLmr1PIqCIDGDRvinF49\n8Og/J2HesnIcOHwYmqahqKAAZ57eBes2bUZmRoYUNypDyvPWl3sKtvt2E876dBlmDR+Ao82bxCQr\n7s+RC9n2+rPuFoK1tUn/eQHpaWF7ASbWStJeMHYcMVpEim83Dck0tBHJMkgUmVMMhygTjNMNywgE\nMOjiC9CiIB/rNm7G199X4PiJSvxcXY369eqi3xk9rQW4cT89ikjdvMwcMA7tvt2Ms+Ysxydhso7V\nGrHNp0lsEHm+LeYS/I1TQvAJO0bYqzNVtat7ta2y7han5Dq0ztUyVY4M4kkglmlbJGw2TwGGtU+7\n7rmj6Ba29OnYr9FDQHVQ9M5zHSkC6uTkoF+vnuh1amfs3n8AmqZh1759aNq4MdqXFFvnNB3I2upr\nVIoJW+KMbXaT8XZrN6PPnOWYed0A/FDAL90yxKlmhikvnSEd7oXHYWsJ7y8Av6guceeIMI4Xkxz3\nwHb1S8dYZCock1Y3OU2YGbsXiVnyEyenhY/6kAiBPhlLmAAG5lpPQSBw+VxGbm4uCpo0wZSpH6NP\nt9PRsW1rBAIp/GpazOZWBhYncDHx9WVQLEGL65jbr92MvmGyPtq8iTHDPMzW/LIshrpNJo4lbFfO\nBLxMsc1g8eE1/DIs7KjJy7AAYuQ/JaIWaaKMSFCy1Uh4/whhpVnkZuo4zoB67DkW2JVkcKgwTMGS\nOPhykibB0bkJgtUtTrBjznl3o0Gg4+uKCuRmZ9OdzqQy99r8BZfT1ViiDrmowwkX7b/bgj5zlmPG\nsAE4WpBnrHfmBAtxbVvXFswt3h7r0HFD5FGq9Og0D2SkcAPWRfwyCFu5Y0PUwuBWDRitJCKeq4hV\nRcBMGLNZ8SJ5UfoSZmDHWgKhvCd3INZeDzsRTnWyBkfehnUONXkDHFmHHajbV+sr0KVjB0EPoVER\nLRJdzDEraw/tv9uMPp+XY8a1/XG0eV4cqMmChtVLqhMCsXjF+sCq+MUcpYr9HchIj4ZHrPhlELYL\ncJXzo4C6i9pFhSTSJ9yBnnr0DY+Gk9ziMWJ6xTegTOMTgq/Xf4+BF5zrgjaqBOIj1hR6wcaxodB+\n7Wb0/WIFpg/tH7KsozVxLa16WaBrtGEyc45YpKAiZqtfkPkRgO6cpu8jriJ3j77eCAR8wgZSnLBt\nbZ+nWMbFuluTHtt17Eg1Aeqay82XwzVZtGWSxtOQw0hq7pjEd+3bh4AWQItmzexH0i+FH9fJwpzx\na9+NAISNz4ZXpeyRx6HD2s04e+4KTB96KY4w3eA6pKFpqQvcMInF3dW4bnN9zFsYk6ff5qYRhHFx\nfXxdD6vxfno0Oa3QkbBhOcFEbSKHX1nCGBXibWXPRbJWEbfXPq/pW9ghpD9hhwKGDsw5H1/YlANW\nFZSyRoykgN2AXEMimvpRsI+jlxCxbO2WvZVzlFoS6UTlZENOLAwUK3sZ8des+x6nd+oYqiRNZrIb\njvwOZew/6hbUJ8qFGFncYlR/3lVbnNKx9zCZS0XET41Xl4ODh9CqGlbZux3WbcHZ81Zg2m8vwZFm\nfDe4TpA6I7Kj15pAihrnJu/vrf54h8b7B8J+AUALhD7gQf0DGu8W0HhZqjg6szMfAgk5EckY1/Ty\n5drVzIXCencCcY6FD28gpQnbEirLWknWYqAEQ7D0pbou0tiz4C/WsCo/btKZFFawzIQjvdLJg4mk\n2kCGkx6BVRWac3LomDBNJ5x/qoP5xDluv20uGaI+t1Y1Zhj3hWDN+u9xSd+zJHdu8hsz6Y0jU/pj\nSJcJIH4QRBdvvR85IwcC4XP3mH2emEYvSxokfFCQB8Ot9Jr+FFZth3VbcM78Ffj4N5fgSAGz3agZ\nMWnsQePS0f8ozzXe8mbJW21tG240HKDImMb7s7oI1rfY4NDLVNNAP95FG3i0wEiY9AkvPw3gd4mH\nkL6EDfO6VjIalNcyban9RXLiQ/N8IJMt6y5NTrIII8qJFFZZFib6gKuAxclUEPyYErFqTNjVlSUF\nVg+OMBSzrsV0VSSuInI2nqpszEvPnreUDn9Pqqp+RsWWbfjj9cM4UuQs4nDZG25M2dB/oMRt5F9W\nj06SUzzV4j8VoVsRNl9uYTct5KYiV0pMlPwUn6cMu5+yfgv6zV+Jj665mM4GF39OESmOPHNdiCjm\nxVF6FlcqwgciPobpDL9LPIT0JGylpcRXnIazQDJcWMK8JHy3OV/R84QmExt7zoQRZXH+vB/VndFR\nzAsXhiNfwycSDUm2NOHd2RBcSBVZs6Sqh7FF2PqRIR8HZE1zJ5ajWF6K58SVOjGiEIM0v9u4CW1a\nFqFunVyw67xZMfxzyMQn/E9oKkJveJkmT6meyH7hRoE09s08owBz3zjxgpsd69rMvNYQIusFK/Hh\n1RfjaLM4fMjDBIQkzkIl8JY17LkxbN/CBpCuhA0zMhKuLchCDGMWTkmsDGmYEzZ7LhI8G4ZTWJmX\nSPzgCgmxgoSjabkIZC0tZ2LiKi1s/agTj0TWLIko9Ikq566Vlq0U1qxbj26dOkYVNyZNubFPNwQ6\nS9ouOq7fgnMXrMLUay7C0WaKpVspVI/bLl6vsbcPzyBtCdsUKmvVLCgXTU2W1nEMV8Hw4wPbEBhz\nXRqXythCqEmjh7V25RIlCgJ2Uu4JYhwXsWbt97h95HU2QrqcN5U4FYnHXxNTdPx+C85duBJTf30x\nDufn2diW0dssZ6Wd1zS3PaE3QfC7xEP45RG2E1h0rbsg3CU5gjiPvWiOYLclFJVsYn1O+JYR33Ni\ndPNyw7VM/zEfXb7m8hG+3HvgIKp+/hklLVuIyrr3eDiR46FHp2PFVpy3cCU+uOpiHMlnLGs7rMdO\nGouBJZNGET43SfC7xEPwCdsKqt1SFEtvvAFvaRMVorbw1JH47nnIY95i17xyqIPvlue2I+XcwpPB\nVF33nHyD4FetDXWHa9AUPTgukbbNMk0+NDqEXVaxFed/uRIfDLkYh/Mbc0u1AHZymnDU/fTg3Dno\nLO2wE5+6agJZsjjC7xKX4FvYIfgbtMYA+4+Qyw+bY1Kjdp/R2DAbtzdMSiMukSUlHE6L0MSiZsna\n8BbJmhhhCOPPkjUlXkKLiMYLp6RuDICS+Zq163A6M35t1TnieolbzX5OJIQ0yyq24rwvV+L9IRfh\nUH5jyqR0sxJNjKtYX8UttRKWc/HrpRTLpxSyEw2fm3yYwCfsGGC/Eo2muiWml6oZ5qGDQBD6Lxgm\nj6B+HQz7B8Nhg0ZYZmawajkXk3T6wk7exPtB1H5mkaqqfsb6zVvRtWMHmwkmAElWo2zDVpy3aBXe\nH3wRDjVtnAQNxALwyH1xgNTPgRqBDC3pPyd49913ceqppyIjIwOrVq0yDdemTRt07doV3bt3R+/e\nvSPK9bvEncKjTGUYxGrLUiJ3hoSNCXGGla3zsyGZX8ZlqUO0sBIQh2K3J9LNhI3+6W8rNqK0uCXq\n1qkT32fKm4+rhLINW3H+4lV4b9CFONy0cUxGpnsGavxMXXYjFvGb3dwt04RIzDtJdH/qRvt52KkS\nxrn+vgu6MDWCZ5FqY9hdunTB1KlTMXbsWMtwmqZh3rx5aNKkiS256UPYVrO44zp5LDZw65vFl5E7\nIxA8BEFMPEIU8aWEvQer8dY4jMXaE+lmwoacVWvXoXvnTi7JjZSatEKbq9EJH1iKHbq0YbvZeKdU\n48OdNmzFBUtW472BF+JQjGRtB+ZblkROWblRi2KDFW4vcYRH6ClBi53wzLakur/GyiCh4QBCAA2g\nX7kjxm3kCDrcK0YIQZAAhOiNAAICDQHowzpybaNf6Tp6pZpItTHssrIy22GdzMhP6S5xvXuXBINS\ndy7XJcx284IpIHYsU7JAYasCsqeohRt3DL+ERH8TwxOZxLFTVde1ni9h1rMw+Vk+N0zzJLycDlJM\nCws7LJEQrF67Dj1OVRA24S/4S1kXmUbZzVAIrbj5SXbECMdMhiNMeO49AvtMEebZYh5eRhHN4qcP\nGutk1mnDNkrWB/Uxa00Mp5gpppglplFnjXOjk82YyWeUEJnJaPoENiOcPqGN3evb+FF3sNeMalQX\nJi96KdC0mIlwmsZlUc6z6CnDqqpRR5DJ2kfioGkaLrzwQlx55ZX4+OOPI4ZPaQubBIORw4iVHJEr\nQZGc+Rm7TGXExjWdtCVXZrQJoIviwoibpeiVq+xmRBXSsBrLVuhm3RDhWxJEduL9FbKVwS2SIrYj\nhAPRRgjhnFl9JCLzUC/Ljj17oWkaWjYvCKnB/NVPpedMDxGhYWo09MRGHfu8ySTO72rGkzh9HmmD\nUS97TlGTIwPKo6GTkGW9Cu9dcSEONm0MTZ8pTjmOn0hGxRjGKHeusnLNZohzVqzuHzCIVNwmFYws\n5Q8QSFgtQ7mXOHviliGpetwdiPfcOuxA4m3L9Vt24/ute0z9L7nkEuzdu1dyf/zxxzFw4EBbaSxa\ntAgtWrTAunXrMHDgQPTu3RuFhYWm4VOasE0hkjJ1JnKYSIStOqekwBJq2EUkWnpphGFl8da+KENh\n9ZuRta4jkz/JTS4R4yg1EKwaD2zerBsLlsumLECbOXqZ6OnSMhJ0FHUQ/UQdFOXkHoGbyAzrtOq7\ndehxameE+jeZfIlWsESUrBuNqiBvQQX6lyF1PgijLjF05uQonjKlnz3oZP3uFReGZoPbhMIGVQWy\n9qPErbLcTaIxhr+Zf+TkHZrLPiiS0SXeuX1LdG7fkl5Pm7+a8//ss89iTqNFi9AeDJ06dcKgQYMw\nbdo03HTTTabh05KwldWHCfGqSJu1qs1Ing9nRtQ86ajkcXKtrBMhD6bQw4SHuUTzlSiCCnzNX0hk\nHdmaF8tULmOx3HR/oVFAiQuGOxNH1IfKV6XNNnpYEheO8QLLbau+W4shl1zI33didGQz2RDIGka5\n6aG5xpyQHlF40PRs6GrT3Sk6bTTI+mACxqzjAg9yL3d/PKKTW0i1SWcszHorTpw4gdraWjRo0AAH\nDhzA7Nmzcfvtt1vKcqWfYd26dfR8+/btboh0HUaFaYf0pBOukneSoLo6jUKeXehN/aiFE+6vQWiS\nyaYsSqIKwJmEfHdsyC2ocOPjUFKjRK9u+MSU9Rjj2sGx48exbfcedG7fLpwgQ56sdWuiFEvESpKO\nCfHOvUHW71xxIQ42ScbSrTggqmJzv6w5Sov/rUwokr2ky6mFP3XqVBQXF2Pp0qW4/PLL8atf/QoA\nsHv3blx++eUAgL1796Jfv37o1q0bfve73+HOO+9EcXGxpdyYLOybb74Zp59+On766Sd06hSaQFNb\nW4tZs2ZhwIABsYhODXjxpTBrkLihqyRDRcxgrGHRKmYmMJn0TuhHvjubscSFRpQ7iN+NFCWv/m4d\nTuvQHtlZWaYt77grEWu4KEHJ+vIQWaeuzQQXyirxuU/p8k4xDBkyBEOGDJHci4qKMGPGDABAaWkp\n1qxZ40huTIT90EMPYe7cuXjttdcwc+ZMNGzYEL1798bRo0fThLD1fuXovG0GcReK7VQ1AMQNRdzK\njKkM5x3U0XckyD0GSsmEd1L1NCivTc5XfLsWPU/rbBotLrB731Rb8bqEThu34sKlBlmb6xCVl+0Q\n3gFBXPVNpaKwgVRb1hUvRCTsOXPm4P+z9+bhVhVX2vi770VxAI2KgrQyKKCAs4hTIkjUmDhrYsRO\nJNE4xBgjGmOMHX3ip3ZMNIkd+zFpv1+nO91JPjXpOAAqIAg4gBOgICLEGDXGOKDEiCjcU78/9q6q\ntVat2sO559x7rn3Xfc7dtWtYtap2nXrXWlW7zkEHHYR+/foFaQMHDsRpp52GbbfdFkcddRTWrl2L\nxx9/HMOHD2+KsN1KdYJVV4B1rmhdrjE0i+psROA6F5vQQNe7qXVP0g1N5/d0F7Z11cc22m3YW6lm\ntQAAIABJREFUsAFPr1yJL59yQr47W+4a6zJqIlg/+hRuO3YS3oqAtduJnd65i98JTreGwyfAZRBl\n/C5wzzG+M0xbks6FiE6vYXc9ADVZRWgq9eQ17EZSIWC//fbbGDRoEEaPHo0JEybgggsuwLBhw1ie\no446CgCw9dZb44gjjmiKoC1JJea3FC811EyQcHutc2LE1nGJpxk8ReNSoqJmUiO0C98POjDDg68D\nXOKCp2vkIp7u1I7G2foU0F6++g8YvMMO2Lp/f1eGv+9MWpDJ6VrFH2KTqPHanQPrYwhYRxBRYnG6\nK9sDdfijH+CvYrXJ17UymGavZRHojoFuj8MGw77edujkqX26wti6mn2vhZ1SIWCPGjUKkydPxlln\nnYVddtkFH/tY+qV79913MX36dJx66qnd8o5clJq1LqixLT2/aZk6AdZ0Ilc4+leiiIUorEeXzwGU\nvRLAY2m8Bt6SRlH9nMqV5BMbizV+0mK70OHjw37XgJaCrGHxTy57FvuPHRMfo105drug/hSsn8Rt\nx4S7wXOtWCUxni9M4T8Q4m+Cd57zeLcYGfLx91btTH/tzQTx5N5khoPhw8HphQlX7FPFpnUB/H8r\nFQL2LbfcgltvvTWI79+/Pw477DD8+Mc/xrHHHovddttNKd1kigBXLI+M1yxTkalkXJwaAcqST9Bq\n1xYCPgKsQ0AWgE3q1A99MREZGkldO0nUrWvVU5cxeHLZcnzrK19uHOP4oIdUCMPhbbxSZtQMOWWL\nyYP1J/HmtltXZ1CVit69jsWxF6iFhsBOZYF3tyMO/i5fkdIRMIqnhdaweAWQXDXQrsl8xsbnPfPW\nAutel3hKhYDdt2/faNrgwYNxySWX4KabbsLAgQOd9d1VJAdVOCeJdMX6yQ93XsbOUGH1BRn4F1r2\nlQBl5ZUoNd7IaaI+anzXGnbpUioxUF569S9IkgQ775idYhQrEoxp5gqAnK71U8/g19mZC5+vw/M8\n/NFSQKB15/dvmjh69R8JWH8sp7GNJ3Y0qVvaTkK3OF3jbiNudBL2bvgky5N9snDSxo8tTdpoHJyL\n3sW3ZXFt/ChUV6YNYgnABtPlM68DZPd0k2ABnlV9AvS881agXpd4SoW+7L/97W+FTC644ALccsst\nDRGoCqnHKgaTl9gIRK1MxMGaT5wxK70hjWDX6FGqMt1ZvOJqwCd5MsmWUkBKeByMD+rWOM1kSFnN\nymN8lTq1Z+LMQhpHOBh6NaIILavJEiQUU4nJ7fFly7H/HmPdRGiC/6RmIre3fg0T34ItvY8dWerB\nmudlIG7tMgLqoOVtWfhNd1pfhWBd1Hfwru2I6co836plLEso/MUZ4SkLvj7O4wXIWxaRD0RYni3O\nFQAC1oxPQmQRSoWTTfSFdh/vjdLUihZ2d39agQoBe+DAgXj22Wdz87S3t7fcA44Smx3rl5mtXFIE\nkxUxvBFgK0A4er6z+3GTWphey8rUxATrrqGMUTkQxjsFh9VL5IG/Z3mcYsSVJadQuDa7zlHqJv2W\n3dN2B/JE+8C4trg+obK57okrKbkUlAvB/4lnlmPcHmOYUuJBlyqVvu9kX7p2guSDdJBC3FGdydfB\n1CMB4hrYy8NttM/uqzKw/gyxrBPDjvXUAM5vGNNADB6cFTczo6L0MlSWdyLSQv2hAnOflCt6Er0p\npNaAm17qLBW6xM8//3ycdNJJmDFjBgYOHBjN9/LLLzdUsM6SqkAYPo3RKc6w2YvYPobkDsIcEFk8\nrc8YPmmSNPnqj7sWgTuVRwKulT16FyGmYxjRHlmHLpfWFto3DjS1NlEern/98+BKSLzv6HOxoOjq\nZ88n2gUlOyxC4jG8+fbbeP2tNRi9y3D42g3JSu4J2jpgNoYLRsCUAiy0T2Ej6Qe+XwzPyvrTDzzH\nZ/QfXsQnFz6J//eZdM06kfUKoEsEyAUUBciEGZYSy7uFOjNWWpR6XeKtSYUW9pAhQ/DNb34TkyZN\nwty5c9U8b7zxBjo6OhouXP2kfYM0gCaTHQlbi8Lfi3CNWpXS+s3irVVMf/pTxpG0wCIEQmCj7dKQ\nRc6jLL3srJKTT7IK521F8cjgnlljcNdaLbsn15qal4K17yMGvA74Kza5yfTEM8ux39jRaG9vFykS\nUCMAG6GmN0+tIOxcDtbV97HUZZFWztVLVajVPKbd7Q5vFZd4qZPOJk+ejLfeegvHHnss9t13X3z+\n85/HmDFjMGjQICxZsgTXX389brzxxmbLWp5yx5rR0w1NoxO/QCU1TrEQaXwkT2mRK1LugVVd9T2k\neoToOmZtZylMJWFdZBSIkBGtNblQMgAef3oZjvz4IT6ik/xaiUb/4Y+dAuuq1BrTZiOotVvSehZ2\nC7063I1U+mjSCy64AEcddRS++c1v4sorr8TatWsBAMOHD8fNN9+MI488smlCVqPIlNadM52Gngma\nJlOuctzEeruKovpW3VyIEueUC65xeCPekDxgeWicvf593Tqs/tNL+OZXvhQVNteQzc9VTE181g6s\nP91gsI5gRTGEJDl3VXlVoLqYmdyC3Q2XrWZh91JKlc4SHzVqFO6++27UajWsWLEC2267rfs9z9ah\nTiJSxeJ119S070MB4wbV251f57KPiLvn7SRk17XlPVnntlcl3a2pu/xig5atM5vwnlz2LMaOHIG+\nm27q3fyuHJwXnM6Pbo2bxZVsb2epJJPRqy1YH1H6PWt9F7fYvZWQnHR3ttxFzhawExafJiUu3Sfp\nO8M6DY5N+DI0mmVPh9/eNeyU6vrxj7a2NowdO7bRsrQGtfLILnL1x6KMEsn81MSijPqfy4jXxM6r\nCF4cAQ0PWtDM7qPAXQTYLj0O2I89/QwO2HOs2J/g1+a9LH7N3rfRqI+uEsW0m048Kg7W9b9nTd9A\nSlgEweCEgjc5mtTmceGEAzsocNNNbgmrt6SElSjfdm4U5Xzfsxuj55K+pWi+VqJWWUPuburUr3W1\nJnVy6BWZby3hUhYARKOcOendWsHaurAkQa7GMc3iiIVK8ymVNrdrGs3cCHZyFssN52gPRDlY/8EH\nWPb8apx76mdZxi4dPlUrK+jnEKwbR3T3t5aWHyHiS87vHLwToTgYbpUXMqlStZ4rF2DF19WQay3L\nVzMGNWT3Trn031ADoB3pxs72SH2pxtFaANlrYafUowG73DqL4ZOzCxPQsvfkIm98+S6abnM2pXmQ\nFkBMzTO5uU1uhCNI7zbXUbDnFQUyFCr4BbGVqZuVpLB6pU9E3qUrVmLXITuh35Zb1O99qGhi6/qF\nt+J5vNfN6MewG89x9Ko/YpLdYLZNczaYGTTCOuUwy8LElc4s+Fg+e4CKzGBVi8x0l0n1Hk2aJGEf\nMKXCgPxULn+ehj85l0anAzoXalNZxeHWZdRrYaf0vwCwAQ7afsQaFgb/EnTBYC2qoh4RpO1bT9lK\ngpQG7gZSnqVbqfISmbPJMTQ8i03+x55+BuP32jNSmyK7vcmbNQ2flukfiNudu+m1Vwc9MDMeBAT8\nxG4wevULmLTwiWw3+DaBMlcFaVXjLWGXakRd4OAAZ48qTUR6m3Ohk3DmYrf3bSKujR5D6tI8uLtj\nTB3Q8w+sCz847czHWaGMTc/GWYIkG4fGKxoJAGOCQ9+0PqxfEWoh1O6lng3Y+WTCuU+CNY0vYNU0\nirwaxq2jMJ2tlyp8shs1D207n3fj6TGLXG7UArkKUXyr5FyvgC1dYw61KvJsjZdH7Rvab3Sd2bGi\nlca0D80+jgFuShs2bsTiZ5/DPx5/LGs6z0/Xr2kzjSq7IcsTtjkeuzXgDYEcJEVumFPvkYH1o084\ny9pQYTMKDkpx8ZEbuZ4cLRTzziY5dzzOAyq49Qty/Cg8iFLJ5Ho3wVRuPRNtQJYRxjjhlbiyrDYL\n5JmmmIK1BeYMwLXuTuJKZBWwToeT5dMalm2vSzyljy5gB2DNklhATqgCMoPpWgXIACxEXdDBlsYH\nE3ROnnL8wrazdlMQpmkMcMlGKwbOpJdiMjKlIiur5AnbYAiY+nJ0kxeTQ1FeYuAdADnN47smp/PK\n0bKVq7DTjoOwzdb9iUJCgJSArbGA6/opZyNbdh8eEwrfZ0bwJ3I5MBajWgN6A4PRqzxYv7HNxwhD\nUjrxYyME14SBGD2ZjB9RKjeUJSqQWR4J4aECZLMoUYJKfboISX56i2BSi4jBqNclnlJD3kZ/6aWX\nGsGG0XvvvYcpU6Zg1KhRGDNmDBYuXFi+sOGTURZJJi8fpiDkJ77MZegmSbCJkV0RXp21QyZPClQU\nJFSwRgQIRRvZ1bdSxBvQ0ioMEbSSuV01IaSpMmoATPvQAa4FJnH1YMbBi6GbBYwIWAdNo+OBpqug\nnNNPBWRI4OGnFuOgvfcKGPHe4wDp+kRWbngp324T8OE1yTgpSJiHRlPLWoK1L2Wg96NocQDawoKN\nkQDhUpvAuoKoGPUMlh5DrdG4tvak2z+tQA0B7GHDhmGXXXbBr371q0awAwBcddVVGDJkCJ5++mk8\n/fTTGD16dOmyMVAyMkzBlIEyB+eaDQfHZhr/IxQ1WZaCurCYSoJ20JZIfO5XqhnfN4ndUjkQiovP\nw8GWvdZk9DivOCj3MfEiykxX0foPPsCTy5/FIfvt06X1RltbRzc4sD7miHTNupd6qZe6nRriEl+6\ndCmeeuopXH311dhss81wyimndJrn7Nmz8eijj2KzzTYDAGy9dbnDGWJELay4XeWyKGHhNpZlSMBZ\nKUpGySNy2ziKL2tVp4BPCcsqCzNIj1qQ8opC0I0pNN1Jjz39DHYfPhxb9+/XGjJVHAOjV/0BEx99\nHLcdc2S6Gzzmxeliag0bR6EmClZ17bl7JWge9brEU2oIYO+55554++238cgjj2DNmjWd5vfKK69g\n/fr1+OpXv4oVK1bg5JNPxje+8Q0H3l1HTUO6hnKvo+qeX1dlivkkhDXONQBV+aJKnPuQcgsefxKH\nHzRer494oKt5Rrqmc0c/n4L17ccclb5n3SUKh9xlFsar68XKJjZ/WzDBJ60CRflUpfd7QnvqpVZx\nSXc31eUS7+jowMsvv4yXXnoJL730Ev70pz/h29/+NrbbbjuMHDmy00KtX78ezz//PE455RQ8+OCD\nWL58OW6//fZO861OnR8kOY7bTvPW2eatWXaSWvU7E2mzc59nN3blla6R0+NC6e98+2UNGea/SQ6S\nBmPw1tvv4A8vv4z9x44hLn64vKkUxuO8ivkE1fOb2FDa/fk/YOIjj+GOYz/VfDd4bCyRNevgN7Hd\nJrUk3Khm87ZlO7/bfDwID7YkLnd510straimVEXE1vCncOru9etWURgqWdhLly7Fd77zHcyfPx/v\nvfceS2vkr7uMGDECu+22G4477jgA6a+F/fKXv8QZZ5zB8v2A/ELYoQcfjEMPOaTBM5vmy25RynVb\nEuhyBqW3LA0t4dHNlzUy2PnOaHR3hvxEe7KLye5ZX2jr5YAHW5tufD/yo0bh8i94/EkcuNee2HST\nPoIPsdZZIGeMNdfBw2j3lasx4eFFuOO4o1U3eFOIb/4mqJlw29pitQVc8moUe8cqYUXcNnIO0iVM\n6+6am035ulV/kd0TQ+JlvoQtT/F8VZ/4/PnzsWDBgpb7Za+PMlUC7B/+8IfYeuutceONN2LEiBFo\na/MG+tSpUxsq2MiRI7Fo0SIccMABmD59Oo444oggz7cuuYRHRNan1cmn6oTk1gG7CMTzAFhu8rL/\n6S5rYUmCxrH84KBE+FOAklKoE4bajroTK1E9S/XycUYGTzEf0l/zHn8CZ3/+s3k1KmybM5AKuWYZ\ndl+5Goc9vAi/Pe5ofihKZ8UqM4/nvYpVBVjrxQz54yNKBYV4JBWPeJZSfCzRb7kHVcOUThtfg+HH\nk2bf5TQ+fUveGIM2JDAmPbqUHU1ax3g87LDDMHHiRHfwyzXXXFOqXD3Uu4adUiXAXrZsGZ544gn0\n6RMWu/rqqxsmFADccMMNOOOMM7B+/XocccQROO2004I8sZ3CajwFcy2s7dAujUrNoViVwZfMKHkV\nNArBHdzyU+uQ+bqhI0pQK0j1h5dexsaNG7Hb8GEN4igVUOUhiQ/xvJNxIVz4hO9uz63GYQ8txG+P\n/3QG1jUGD1Wet1xntj/EQY/ppK5p92KXfK+aWdDCfc3fDQtlSHy9LntCPkQub7n7dGawJ9ZzGJ5a\nZk80S61+7nqXYXZgiuLi5+1KL4Z1KAKNlFvFoSJtwR2AfysFCctf+sk2SH/rDLWKS7q7qRJg77bb\nbnj99dcxePDgIK2jo6NhQgHpT3kWvXtdq9XKMZOWtyEDVgmnQQ3sQAYv0X+p1apYo7JeNS72KlKw\ngzpG/Kuo28J5nAQgm4IvdVSu+r/W1UvmlCjFrEFTUDaZznvsCUwYPy6dzKvsbqcxcnJkryzAAS6x\nt7ytZfwnAGgZD4PdnlvFwNouAThWTgSP/qoPS4ANdT27g1Is+DEQE7+6Rdad3S9z2cKUPwV4ei/m\ndH6KGa2L1OPqJOvhbQna2rI0+0nINfu0JTSdHF3alqCtTQP5EKwlmLMGAtm54QlAnzoDb6Ze8efx\nESLqzf3fTJUA+9RTT8WUKVMwceJEHHDAAW7XtjEGV199NU488cSmCFkXaYDD4vyMxE78oshMwdm4\nkLdejZYWsWBl/bF8MYu/hFeATqxevjA/U0wQks+mySDbXdQG6qInIJ+jtUvlSfYbO8mN1ZnJpsnr\nzE6JpY0B7Q83bMCji5fgny+5SGuNfkcel1e0KNDaZhDgzcoRbGZAzh2lIVhbGrVytQLWHNBdmcC7\nEo4fiyEeNO0zTgiA8F+/0qxfnhheg93fGjhpwK3UlfiAz+fKcjnZcaTC+qfxVGlIOJtypOTnAK0V\nyBljdVLvunRrUiXA/tznPgcAeOCBB4K0lnrARWAdALSwHhQA5ul5gEnSlTxqvkbxEWBKQZWIniuH\nAw5aXx4oFrZH6WMH4F4wdtiJUrcEnUCuiPJiQd2GLZiRx+qxhY6YKrOeAZ54ZjmGDh6M7S34CT6G\n/bNgSsajAGDarkBBIUDq7xlroZQQcYzBbitX47AFj+K3J3wGb5E1awrDlKdXuGgun9sagYnrR785\nzAiQNuisAdh5Dr1UTHkHE3UH9brEU6oE2OPHj8dtt92mPszJkyc3TKjmUsFAZGBNo+nMW5KbojjE\nTuEqx0cBSRrrsRB0Yg2lKK6L1sHA3MTbI0GdTvLO3RoBcF5GAd88sJY9wdBYBJnwYWS909SDix7H\nRPbudZx4bUaEI7JoY6l8RY52W7kaExY8gt+eeAwDa72IQekaGY6mN0XQWh/0dt3EXammpuJbHvPm\nVNxSBhh6N51ZqgTYV1xxBYYOHaqmXXfddQ0RqNsp8zBFvVC57qkIadpqiXXOuqkeGeuiiFLAcNOQ\neT8E41wvgwbKmqdEALQKQUYLK4hOlSMDvX7x3N56+x2s+tOfcPGZ/LXDUJaUGvV4JJ8inrutXIXD\nFjyK3514DN7abtvmjb+SVGUKZq7nKAPqxi7wled41uuChqbiSd6Iac6XvdfCbk2qtJJv34veuHEj\nVqxYgRUrVmDjxo0AgMMPP7zx0nWC6h5ubNJXuDRqHNfzhcg3w/21VL6SbOsmaikaPUlcvdNA63dd\nyqjszCNglQAbby12kDPgyQEpJM5Z9jWxFkxc0/MeewIH77M3+m6ySaBYBFIWPZ7ChlXK4mjUc6tw\n2PxH8buTLFg3gmuTiGy+8pvJ/Fp4sDGNHpzCDktJ5H41fm1FDFC7v9fC7u5DU6oqDN/97nex9957\nY5999sEXv/hFvPXWW2q++fPnY/To0Rg5ciR++tOfFvdDJSmQvm61zTbbYOzYsRg7diy23XZb3EgO\nMGkVaq3h1kSKfF81C5S9dx1Yp6EVy9LzKm2BOT7iSCZRqUXtQJzGCaueZCCWPgFrEl+r1TB34WM4\n/MADvDUeWUenyyp0zbnZKlQK1o/gf046NgVrIOcL0rXfHN1Ipq99+Xj3+pTIm4Y5J2Zrsw1hYfta\nCrxVObpeuFazsHsafetb38LSpUuxZMkSjBw5EjfddJOa7xvf+AZ+/vOfY/bs2fjXf/1XvPnmm7l8\nK7nEb731Vlx//fX49Kc/jYMPPhgA8Mgjj+D73/8+ttpqK5x99tlV2LU0pY6mLvMtK5RTb7B+bQgI\n03Vjew3dzxTQ89L1qxCjhMjNprpWKiI3vjuIn0VxixtjsHz1H7Dppptgl513Amo1kpc+Ew78DsCJ\ncsBeqbK10v0EocSlaNRzz+MT8x7G708+tqQbvGsfokERHCXkfwlKqgKw4gxXdornFmsgWT0ujNVj\nir6CZZ6mlqflLOwetobdv39/AKk3+r333lN/vGrt2rUA0gNoAOCoo47CokWLcMwxx0T5VgLsm2++\nGbfddhsmTZrk4qZOnYo5c+bgoosuahHArndq07h0L0Wcqj5MvrWBvEYkFIE1IpOAYok3jxrAu9Hi\nsY4P+2ruo4tw+IHjkSSJWHcXYA2q7BiNZbh0ENRfTfSRzz2PTzz4MH5/ynEhWLfCAC9DsXk6Es/g\n3XvRGQZbMHLudmKkE2+8z6u8xiWtf43iykiaEoKzgTEJTJKOhBrSR5aGM2UPHtRrJMw+Rk+ntUPE\n+3A4L7QC9cQ17CuuuAI///nPsdtuu2Hu3LlB+uOPP47dd9/d3Y8ZMwYLFy5sHGB3dHQwsLY0adKk\n8oeYNI0Mu6hpMs7E0krU0wDiqoUERvD7wnrZ141wLSlvjos8N3845WhiFVVeJpNSN42KPOMgWAa0\nysnz93Xr8NTyFZhy8gml8lP2JiqH4XpWZZspnXpHrliJT8x7CL8/5Xi8NWBbpX+M6EfjZ3oykwfD\nsJQMKZWZYrn9HN8UVqYiWcRZ2u5UMgK49BAX4mr3p5hBrIUn3lFPTj9Dkqh1y0gNWEGvxiB9Ny7t\n6xrSW3vkKPsYw+I7kObrcHE03aDDCWLQRsq1OyVAwnXrUXdY2AsffwGLHn8hmn7kkUfitddeC+Kv\nu+46HHfccbj22mtxxRVX4IorrsBll12GH//4x52WqRJgt7e3Y+7cucEGs7lz53bLSTTG5CgJygTj\n1y3BJ002gRabNPUPat2CchaZ1G6DXdLG58sKGSPjfV66icvyAb1GJeP5Ct+ndkWoXKQ/tTiQspos\nsbV12ieBu1m2la8few80mTYpkKsPNv60FzzxFPYZvTv6b7ml2qdKo4TekMlo+8ZkG+Gc7GF7aZuD\nw06y8iOezcD65OPx1nbb6vlIP9t3rulTsWPJj0v+PFIw9JN87OcsuTXq16b9oSVi45gDT77JzDFj\nnIXFm2t1awJRvgm3tiNl2XGjgJPdtoMBPakvOHKVkAFfgtdmIjs8Jbzy+UEqAzxeLhu1Kji3Ch10\nwC446IBd3P1PfzaHpc+aNauQxxZbbIEzzzxT9T4fcMABuPTSS9398uXLcfTRR+fyqwTYX/3qV3Hq\nqafik5/8JA455BAAwMMPP4w5c+bg2muvrcKqMVTCbRNYFiacNBlAyDIsP4+n16LXlCiA5p0cFq5D\nS/4aWEZkYP8RhmNWtSE5HcrZymN1ImiLLn/xOromnwrWMfB2VwrYpL/ps3Ayi94pwl9jMOfRRfji\niccp4zAcJ7xfjUtiuoMG1mqb/Zq329mepY149jkO1oKXA2sFxCl4e7z2QhrfCNeUxKJAYtus2LkU\nkNmxnBbA7UErWV4Q8KZ8sis7hlvzTZc0xvKzkZop0FL3OAFld9SqAt70+NEEwoK3/FX/vRCnkwhr\nQbsnUk9zia9atQojR47Exo0b8Zvf/AYnn3xykMeua8+fPx9DhgzBrFmzcNVVV+XyrQTY5513Ht5+\n+21cc8017vept9xyS1x55ZU455xzqrBqLtFJUotTwhKYJUiztd4K4BPwdHULoGYgZ68RUPQcFLDg\ncvv0st92DvWiNiWnTA9LqKBdAsgLwZnm02TgA0ATOrdNebT6Ty9h/YcfYuyIXetkYuIfKSode6DZ\neLmRK1bi49YNbteshSyxMWOCuzCmLorOs2FCxADtelKEsJ71vLwBpgdpLdG6UtS76axzdPnll2Pl\nypXYfPPNMXHiRGdhv/rqqzj77LMxffp0AMBPfvITnHvuudiwYQMuvPBCDBgwIJdvJcC2glx88cVY\ntWoVgPRnMPv27VuVTdNJm2BiYB21jkk4F3wr8DF0QqZgGoC11pAS02YntfBSFGIzT5KgC6WPtLgY\nWEu+tKwiV0yHaSTNfmQhPnnQgWhra2NtKkP1iZdfauSKlfj4gwtw52dPwJqGHYrSnI7sUVOvcFXX\nK3tatjMcupZ6N511jn7729+q8YMHD3ZgDQATJkzAihUrSvOta+G5b9++2GOPPbDHHns4sL711lvr\nYdV4auRA03iJuHK1SUTjcY0QmbnetZq7Yv4ubcQ3ejKoh1+BqR3jaQzee/99PLb0GUw88IDqkjVh\nHhz57Ep8fO4C3PnZE7FmwHYlS7XWhBwlYbZ2+bTdQ7qp0dRqFnYvpVRoYW/YsAF9+vRBkiSYN2+e\n+iCNMbjlllta5LWu5pD73jbzSNG8elEdfENnsbTkoVi1NJ8Mw/Nhd6o7oEC2BlIuM+pftha9jTKk\nS3SviGbpz3/sCey1+yhsvVU/4oAx8GvkVoGiJj/ZAmT4EArFN2FkpI0jnn0Oh86dj7s+dxLWDOj+\n40brpjzXOd8b5uPYzi/Oh72OpVVSFo96caslqKe5xJtFhYC99957Y9SoUbjzzjtzjx9tGY2skYBK\neDVgz4dk7jmqzPNqk5vKqEvZglA26WtxEOAUc+Ubwb+BPdD4/pTkFRAPolmEVVhcn0T2DQSAbVCr\nGcx6+FF86eQT2IYtw/pa8BP1+I1vGXIThcBKKFFd66sRzz6HQ+fMx92nnoQ1A7ZDQpdtCqn5T6CU\nCBJYExFPNqHx97JkPn9NSFqwcztcWE6D2lq0mNK6a4aLPaX8GaKTdbaY4tfTXOLNokLEZjwbAAAg\nAElEQVTA/sEPfoDttkvdbB+NX+uqjxo/fHNNrGosDL/1N/qGLArKxNzUpVMs8c6IHPBvEJXlZ2TD\njAdI31TFys7KrvzjH7GxowNjRuxqsd/xkzvOmcJD4mNAXGWSHPHsczjkgXm45/Mnp27wyhNstfxd\nB++RHV/BlW4Vz6LJrm0WmVdFDAfCLeiFZQx8P2lXu4pN4zUeBv7QE3c1Pk1+8g5QiX2vZVIsrBbu\nBmpr7/rXhluRCgH72GOPdeG8X+v6zne+0zipqpKbeyMjSrM8IkCl5gH5gjVT8/QmoYwsUS8FgVJf\nv9xSIWK3ClFFJzblQRE7zBuMihJNnfnQozjykINSS01VXuqxh8pSymPE8hU4+IF5uOfzp2DN9ttF\n5NAVBJoYjhNlhs+hRAIpBJbFdlUnGo4qLmzNqx0VpmxGmZ28OlbCS1jYPhuvLR1m0RpYJiQcA+L0\n0BR/NcYDec2QD+BeELDlHPMsr4U/IysXcvVSa1EltWXNmjVB3Lp163DyySdj2223bZhQZalWS12U\nNZN+vIfRv1+a/vISjSMWlJ20bLqNRGzyC8OlKAdXgl3oQiarKluXq3OfGprH5/OzgbLTXF7LytoZ\nqqDgsJ4PdpMb3i/unrqhyYek+YNBsnJMJqog5dscf3v371i8fAUmjB+HxneUVm+ou1mwnnbaKViz\n/QBvRWUf7b1qGe9eByN9qZKwWOmhIfI946SNvl+cIGkDe/fa5wHPl4R83Ud5N9m9u0294xTYifXt\nXduJkxUJv/fvT0PI5vP6088SgNxHP04Unx9JwmVUlB2T3dMnkqdGFX2dy6pfPQGY29qSbv+0AlUC\n7P/4j/8I4rbYYgt8/etf75aDU4ycpBkoy/QQtA3IRG6BEfDgSOpxYR/JrsUHp+h5gmsAvhSsAVOj\n8QK4WR3ZP3mlrVC/qTxPdKJQ6uNVGVFAxvHyjA+Ns+BsaJoAYdsX4FcL1hzUwevN/geTn9LwOQsf\nwwF7jUW/LbfQu6wCuecsittnzcZZJuuuy1fg4NkPYtppp+At6wYXY1/GQfaDIf3gO5UAeUYOUIw3\nGANwAwNetGWgLMHaxhN05TyIZkCtU6oo2HVsKlsQTnh04j8OiF1WC6ZQ5KIArIO3O6pU5KX5QPOQ\nRgdHnDqZifzdjA8tsycpo+7+ac1WWUOv/B62RiNHjsQ777zTCFYNIm0ypHEcwIwANZ8Ugm4MkEu9\ng10E3jmATiTLbXZRtBqO4DrfMEXA0TfM9Z3vwzBObrwKeet9ycGWgzVofaD1kYbR56b1QFE6oY5a\nDbMefgQXn3mGmh4lgca8/znAsjDAQHfX5c/i4NnzGFjrQM2b5cZP0NbYWPLxib3LAmzK4phampK8\nkALEdU2TiRr0ETKS1hUrEFkLT0RE0ARRLNqe0g11T6WewqWp5TadtYiF291UaGF/73vfQ1tbG9ra\n2jBv3jwXpp8hQ4Zg33337Qp5y5FiuYRgnd0TpHI2BrHq5OlcFEg1gAnSRd4YMCui5jdRTsplSesU\neqVga/vEWPCAj1cAg1q9zlK0wKxYg1QB0CxkBtbwzySTMFAwwvY0jhYvX4Gt+vXDrkN2Ls6s9LEX\n0YOri7dtJvliYG03mPnctqy4d0oNlYR/MZrXW4QaNc92t8VZMl/zYa68ktkZ6rWwe6iFfcIJJ7iN\nZtdffz2+/e1vM+2rvb0d48aNw+jRo5snZVeSBvZQMEG/jfD0uYwSV55PmUyEd17+EoAfxluQiaXQ\nG+pmjnSaRyd66fSc1KnpK1L4vgUP4ejDPh5ReKqxC8DbRiqWcOoGn4dpkz+LNQO2a4jl09jpvTET\nWdzybI2J0qBcS1tD2pDKyu/yt5iF3UspFQL2Pvvsg3322QcA8N5772HKlClNF6p1qFUHbQxtQ8WA\nuv+lN4FeabrL5y464IYu6Ppb1DkqUbGyHGGtW3eNLFO8+vrr+OPLf8alZ32JeA8svgqPgOtDsV5O\n7qXEgfRZRrdmPfmzeHv77YJCze7ucvyrQkGEEu+tph+bxvOR9XGQ9XLQ5XDyk5muaOLvVZGrt6NB\nre+lAup1iadUaQ37a1/7WrPkaB1iS0TaelFXUU69xNx30OOMM7F2DAsYJL9wxeetwxOM7xKQaBgx\n0LVRDmU5SCugTa/3zXsIkw4aj0369MneOrAgTcE4jw9fInBLAYaDvxMdwK7LnsVBs+Zi+uTP4u3t\nBzTF4ika3c0a/QyI2RZvELQmm8AoQLONYWA7z2N5gh3ipApbOTXkJdBTsYqobgA3gEnYrcrbBGmG\npenle75a0Sou6e6mypvO/vrXv+Kuu+7CnXfeiSRJcOKJJ+KEE07ADjvs0Az56qDu9Kc2j9QvI7Fs\npdihezkfrDWjneYLrj2KQs9DsExh+wUcrN9fvx7zn3gSP7j0YgaaFoDL8eHxoVeE5EMK1gfPmotp\nkz+Ht3cY0PA+t0DcGK6Nnkjjm9HoZnK1ahLvyyZh9rIbwQQZVPPQU5i04eDRk1wmQ22TpI+8lrid\nG5lnx+9UkAer+HjDD1mxOippK9s8molgkjzA737qtbBTqvRa18yZM7HTTjvha1/7Gv7yl7/gz3/+\nM84//3zstNNOpX7Mu3lEzJQQf+JlCjN1EvxLcY8AorNqJfIG0KxwoyBSVt4mfUVz2dZTJ31uAkBZ\noLiqMlbrvEWPY49RIzFgm4/lSNS4vtt12bM4ePZcTD89Besq3RfmDSdmLm3+dyCepG/DVjdYa3Hq\npusk5JXHO1ek/NxJ9EbEC9+8Vq5ILgmCzsPiYDg7CAUecI0x2ZUfhuI+xpCw/ZCzKEDKQx64wmeI\nGpr2ze+lJlAlwL7ssstw1VVXYe3atVi8eDGWLFmCd955B9/97ndx2WWXNUvGKBlTyz7e1Wg1Ua9a\n1mB31dL3emHgvjh+1y1QAfHrkViNCrZnUbcpkdvtHIZvryvvroYyth0lwD9PRKE4NJDKqj++D5A9\nHmKB0vZmJgRzN2f5/dVPYtpaMvdFc2lqtRruXfAwPn3Yx+tvdKy1SsNTN/gcTD/9VLy9w/ZKcamO\n+WEO1geGtz3vno5/N2QU4QIAS7x7mbixdfe0fU+bLzTL95ydC5zU4XDc+anjSJmQZP6qFnGNw8su\n17vZO9iEX94HCbL3zOHeN4d9F71Na5vtN/JeuXzM4hrLpSmcoS4bjm+DGG8f27tLvIfuEqf0wQcf\n4LLLLsMmm2zi4rbccktcdtll+M1vftNw4QqpCFQYGPoyhoSzbIyX+t51pGzoWo64nJG/6cuBrRKn\n8yuuM2r5VQRjNbesG6JO4+MI8vo8hvOhbYESZmvF8KDj+lO23Sk2VkYOSEaKpjR66XMrsdmmm2L3\nXYbX0UHlixgAuyxbjoNmPeDAmvUH7WGqvFGF04Ex6RupqCiKHetD+YyYD5fcSB+zXRsmYKxd5boy\nRUW7Vs1QV6mHXcGrkCjO2SReB2BKh81Hw7Y9iVs/93LqHw76TrIA3HkbEieP4aIrrdGIPaCPNLUK\nYHY3VQLsQYMG4fXXX8c//MM/sPg33ngDQ4YMcfczZszAZz7zmcZIWA8ZBaoUcC4DhDKfCuAxUJXx\nan0eyENAl3xpc7iMLl60N5ouZaCpEiyofGTi12UOZZcHofhwrJ0CpHP4cOyX8iMkiZQ5yTMenI/P\nTPgE6Lnh5ShSiW0vrDKRtmOXZ5bjoJkPYPo/nuo3mBEr2Oal/e/6jdx73rY620+6dsLGfNmmlZ03\nZb6gXAFC1VtPBYoWDeRg5nlp5lWM1Pqgt3lg3WqvdfWuYadUCbC//vWv44wzzsBpp52Gj3/84zDG\n4KGHHsK0adNw6aWX4qWXXoIxBtdcc033AnaECsEzB2BjQE3Ll+JDrDtqnWrA5wtDuymIlek5uUhd\nRCImFwX3OFiHCkwAvkoflQJrW3vk2VTpjzL08l9ew59e/Qu+dfY+1QsreB2TaXgG1jP+8fMcrAkA\ne8z1QO36MgNxm8n4zEyG5k6/vZNpJVK6q77nUwTzrQW6vdR5qgTYp5xyCgBg7ty5Qdq0adNcuFvX\nPxqpGZawQMrVRviYMK4h36sIeIV1dKKyoKiqVYRyKDKpUuS2oT5lJU5xKxgApj84D0cdekj6KhcT\nsdpICJQlAp67PLMcB858APd+4TS8vb3YDS4UtXitYRm9Zc2cvA2aBdqJdI/TtKbU2AVU8lHkZjOF\nOT5S1OsST6kSYO+111646aabCt0lU6dO7ZRQnaLK7styvFpqtagAk8tasTHL3l1JmsuvCFBPv6j9\nmfvsqj8B6ivw3gO6fi2s+Cxh7d/excIlT+PHV3wLRkn3a8TUZU29Arb/qIXM15yHP70MB94/G/d+\n8TSscWBtvLwNIt9rzRzBzZhMw73e7n1stx5NF9Hh3dd2PZysP9N1ZU1s9k62lt6AFlVllpvNydsy\ns1JTybTYJrjuokqAfd5552HChAmF+c4999y6BWopauo6TlIwNfNUbnzFATnXpRxz4UeAO4wHSNVd\nSwUVBpYkXcdmIEqB1IIuAW8D3LfgYRy4z17Yql8/B868f8mmLsebb/RifZ6FbX0erCc7sLbebSI0\n15U6PTG31sSe0BDdaKbsDPe/jJWm+x3ekRPPyCYwu3HMsvNxtrrIS2DKknUsX2UyubciXt2ZwL6M\n4e4FX57Ga+k9hTZ2+YTTmlTpta7zzjsvmnb00UeXytejqIRWV7/eZ5ru0mNf1EKwlgWIha0l9kgy\nQdB5DLL7Dz/8ELMeegSfmfAJD7oAsYB90FvMlDVBWWW9fZdnluPA+2fjvi9OTg9FoYWb0LU9yabO\n5U12crt7YhVzcCc7v7Ms/vesCWiTsI0Pfw+b1kXuLd+cdkjADOOtZwZOKZSfGsmXvmtN47P3tll+\n4965dvHOuxPGW3moXL3UulTJwl63bh1mzJiB2bNn4/nnn4cxBkmSwBiDpUuXNkvGYhIDL5auxuVp\nbiXWsDtDwdfF0Cv8Pc1HLEdn9dErKBijuA2GB4ysT4gWyK2438sQy1vmWbDCNB8va4SMIY5SEOUS\nGQALnngSuwzZCTsNGlhenpKjY5enl2H8fbNw3xcnY80O20ORKKpIpLf6OA9qNyiQPUyLOleLNnML\nt3EiM0R42LLurS/7IW7tNA+zxSOM9HQKxg6QQQBdvH/NQZucRU6Bm94HIsThm/Zt2tcmyJ/CauIP\nOkkMOfTElDg4Bc5bRNPoWE/IvCHl0iNag3ot7JQqAfYPf/hD3HTTTdhvv/3Ya1wA8NxzzzVUsDJk\najU9nt0IwKL3AihyBzLhp8BFgaBKbobThl0B4dqm9Ra4t/VXn0oAY1C/jaTuYC944XvnOe76mBLB\nVQVanvLma8SazNw1bTkZ0QbCJ6u31lHDtLnzcNbnTg7lKEnB6MnaOtyC9RmT8fYOO3hZvGiuj6h7\n3rafuuBtG90zNv6evRLG+j0cY07i7D4B3PvAidboJHH5qMXrrdH8g1M8KCYCPKVrm3vJ3XvW1Lrm\nTnVdUaDZg8wkgioHDPz54SYMqBPimqcKAY1nbSPVJs727wQJZc7HijHoFYO8ma3V4bAXsFOqBNi/\n+c1v8Pzzz2PAgAFBWnesWxe+K2iUyTZwc+YAuZLflZCaag5gpSU0MJRgLUBH46MpFzmAbMSVhaVV\nzIpbgOAyVwHqon6J58v6igBysHbMANdwfkocXwJQewNPPLMMm/XtizEjdoVGeaNNptF+T8F6Nu47\n43R/KApTDK0C4bE0BHB4MHb9QF2qjo1//DShAKztvZvaY3jC1n8piMnTwUqCtgCywLXtEogI9KPJ\nWRILy2Wz6+e+1oT1gQfouGfBIrqQl5QzVQSv1oCPBPUCdkqVAHvMmDHo37+/mnb55Zc3RKCGUASo\nAQF0NCwBJVrGuPktCkYaKLvbfODOBUWlPVFwDtLLDnjKTwc2VQtQomJWf3lAl2ANBsauRgpQgdy5\n4rpytVoNd9w3E5//zNGZG7YxE8Twp5dh/L2zcN+U0/HODtuz5+XRFk5B0Z5n0PV8ICgfkV+hkE9F\nSgRe5CJoASMIEA6TheVbjmezSa0lcbD+vwlPm04bu1uAFqFKm84uuugifPe738Wjjz6KDRs2sLQz\nzzyzoYI1g0qDNQGW0KqBdz2CX20eGefKeNPJgzUowMTd7QyEC6hpE0Wk+kAnMLRFNooqHWXAGkzZ\nCXvKpscFC0BJgiXht2jpM+jT3o79x44WgpMbF6YKGKlNiDF8aQrW93/pH/HOwO75NbuoodylUpSo\nuwDovds7ERGUKXVvxyri+XJlqkSJGiyTvRWp1c4S76WUKlnY22+/Pe655x7ccMMNQVrLPOAudJ3k\nVhVYQbG7TsoghdG8CzxjA2uvk+oRoWoZzQKHtPLTfLWODtxx7/34wvHHpBMpcaEboWAxK98qYLRv\ns/DwJU/jAAvW2g95VKb6nluuhd1AqvvbrwGvWxOO7+Rm1zbiXif5ncFPXM/MYA8APwvW1RjjmWRB\ng4oWUeUqc55iTLlujiRNp16XeEqVAPuCCy7ATjvthC984QvBeeLXX399QwXrEdQpz2n9A7C4pGqP\ngln2FnRMGM9BzpB5IeSnX5tAje5rMgE8smQpNu/bF3uP3l00XVjWxsZloE/B2/g+HCbA2nkNgrVr\nXTr1eNESTapCjXP6l6iojjTNLR6cepZjZSck3TrdE61MjhiFuF1QsFneDe70MeQ/Mi8fCbvUJBt7\nCclL+LU49QJ2SpUA+7XXXsOSJUvYr3VZWr9+fcOEqpu0tV4SXxgXZlKDuXGNolztOQKUZIMRtf74\n5qw0jbnkoy5pzj8PZJpOTajQAOjo6MAd987EmaecCPcjH8J977uTWNsZeHuwTuOHL83Aekq6wUxf\nXgEpQ8pL4eh6tjaEc1rGN07Sq3jm3TFdy81XJD4WWQyePocWinLMM7VJVKJlrUdOUFvcgJ/GwFMo\nsPohp8RnX+sa+Z7a17qMSa8wBgnSV8baDC9nC9ERQZewWgEqewE7pUoem7Fjx2LNmjVq2qBBgxoi\nUBWir7LQgQw6CSqTpWEToQArG+/+BbU2uA2dKeyvwfQbai36lVmROQLKa2Uhy8TWT/XwSwDMe+wJ\nbLNVf+w5amSl2rSJzoG1XbNW9ktAhhnbcHo0QTpP9MoD0TXco+LfAxYmXoHge0TiqpDYAK282mRf\nk7LubeHaBt9JzixksfmMvF/F6pfRiasLmZvcA7Xb7e3qpvIkzpXOrHXmduf3CWs0RDhlYrKwCsaw\n71vbeSp9Du4wFGPcQSr2PWwLzv65+dEp5zPD7mwwzNtLrUuVLOxTTz0VZ5xxBiZOnIhx48ahb9++\nANLBcvXVV+PEE09sipAxqvxalwbUNByZYHleF3LXwJ0MMqUzLVYDR6EwyC9QxNqNX1ntMAVfRfol\nZvUUfZGVvlf72ihxuZJKOQgT1s8ibOWNAKM2Vj78cAN+d/8sXPDF05EkSUX9jCcMX/oMxt07CzMF\nWEdLU9lYfBrDxwwfl/7kKpPlJfc0nQI14cVqpv0LZMDCx3tC4tjeZ+JudvfUepaApYKcBz8O0hQs\nuY85YOvkYI0gxRIvOQVkKOCcCUNBWP20xX8Lm//mt/j976wnrbxuzCfcVV0jH/+U4YFcCQM0bMR9\nz6aeamHfeOONuPTSS/Hmm29i2223DdKHDRuGrbbaCu3t7dhkk03w2GOP5fKrDNgAMGvWrCCtZTad\nASFQZ3EAB2PvIiZlyubL4vLczQzcbR53S/LTupz1o/Hk/DlPWa9h4BvWkdN9rqkiP+Gj8qPpNC0W\nH+UpN3kZ1xd8d77lL/uK1xGTYfYjj2KnQQOx+y7D4c1T2QsyHNLwJU9j3IyZmPnlL+RvMBPjUh58\n4qZm49vKgdc+bwLMgodM9yOE/s9C9kZ8dZMgQL7fxOK0YOoNS3EQCii4+rO9Nd+yT0q0ZJIvJmx1\nir54JQUIjflYoeitRrFRZXJD4ZNsBrXUfI6e+VrXyy+/jFmzZmHo0KHRPEmS4MEHH1TBXKNKgD1+\n/Hjcdttt6oQ/efLkKqy6hUJAzuJjwEbCbLKNAFbxoSnZXQxwc8uSciyfy8WuJGfYB64Z+XWDhiuD\nbgwoKQjH+jIEbAtkQd8x/jJNy5PW8/769fj9rAdw+blfYc+WPKZSNHzJ09h/xkzMOvOL/j1r3smC\nnSGfMKvX1wRYA+yebWCTikA50VVQcRZzdtQZw64csGZmr8wcXvKFyCEDw4HWVGZRjZrEO3hGlduR\naFwaRlWXQ5pNPdHCvvjii/GDH/wAJ5xwQm6+Kn1dCbCvuOKKqLZw3XXXVWHVPOriB1u1NlU8I/kY\nkRAWogBgRBFWkQbCZeTUrhV4sPeuKSCqLERtvFIW5UsYpXu42pL3dKY/OB9jR4zAsJ3+QVdQYkSS\nhy15Gvvfe38K1hE3uDYx6+DNgTzGKOSnPqm6SLOs1fTuIGKpy/jITWOoLk2oDqosenPnuVazsHsa\n3XXXXdhpp52w11575eZLkgSTJk3C8OHDceaZZ+L444/PzV8JsI877rho2ogRI6qwah7Znb49gOqW\nMgJ6FNqIsSmArYQ726YrKBvRN+qkCiVzs5bgQ9qw9t13MePB+bhm6oWq9c37IlMMnHs5teSHLX4a\n+8+4D7O+nIK1d1mn8oRr6dRDI3QErT2qCZbXPvuveZZXo4xZnUe+lqAqEzKSeQJInLP842AfxaeW\nxa1eC7u76cgjj8Rrr70WxF977bX453/+Z8ycOdPFxfrz4Ycfxo477ogVK1bguOOOw/jx43M3cFcC\n7DyaMmUK5syZ0yh2rUEFQNVZqvKVo+5wNvGza7iOra/xeqaGMMpdhxfWbGO+P6IHGtnJtE9sVOZG\n/v3MB3Dwvvtg0IDt4m56zUWfxQ9d4sHa/5CHEf1vWJ2Ub/h6mAbgprBrWJzryhaZ2KoAHXOl+7D8\nqUxnZQe7ykkcPSTFlofHa3eWOakrERWzvDQlplNI+TtBTO+iceD+F66e5/pmPhLUHYD95PzVeGrB\n6mi6tpcLAJYtW4Y//vGP2HvvvQEAr7zyCvbff3889thj2GEHfuLhjjvuCAAYPXo0jj/+eNxzzz04\n++yzo3VWAuzhw4fD/pymJXuvaRo9njRrvQsHTrwmmaJP585gJFm8EWlEPhPk4QAgr50jlUsnjAbV\nSnVBH/7rW2sw77EncOO3L+HJ0qoGCOj6+GFLuGXtQJpZ1+DlQfgz8cgmMS5mdeqCYdmdxqYF6BDY\ndeta26nOdo0nPi9F9eCVMrL92+8K9/yYZc7W8flOcaY5MC0iA1sD90tpLo6muXvj44zd6WB4fuWT\naHxJHES41Vzi3QHYe39iV+z9Cf9DQP/3n2fm5Pa0xx574K9//au7Hz58OJ588slgY9m6devQ0dGB\n/v3744033sD999+PqVOn5vKuBNjGGHzpS1/yG3fefx8LFy7E6tWr8a1vfasKq8ZSkSWsPWzi/rRX\nQ+6NlofWoZRnfOh/w0ryNBpyMmiNCFmwzWw6PhVaaTKSrv9SsRnoC5m57BW+WEyjiAmoCBz0ZzEP\nW9X/m34vjj7sUHxsq61gopn1GwvWs798RnY2eFUlJm+cGuVixLMsqMfNwrJfxAOsgu4lXcXSSi3i\n4SxnmRa4wEssqCd6tANp9hqXrzxJkJ5E4V7VsmW0n82k9/KVLmHpg9ab3z90RBgkMAaoJRSYCUBn\n48E+Zvoetg/T39Cmr4V5HYECtv4DxV7Z7KXOE1V+Xn31VZx99tmYPn06XnvtNZx8cvpTvttttx0u\nueQS7Lzzzrm8KgH2lClTcNVVVwXxixYtwq9//esqrBpCsd/DBgSo2jgK7DGgDoCXhj1YlN8ZTidd\nvtO7SIaYFazV4+rLN6tp79jSMkqpz+T2U1F/uKuiAGm6BVcIvJS+abwfVDc0qdPy+8NLL2PZ86vw\nlez3rll/BdJwGrbkaew3/T48cOaUEu9ZU8Dk4BlY1CabjA2V1/j+Ut3p8GEaH5Tn/RI+/4wS16sc\nB5nVSq8EiKibOfjk/8RmZt8S1zZ5YzrR5RBC82ao+UQRpiQEaBqmaVkjSkaOaLlE9SyT2EAaNjQH\nAWvtSYYjUj5RXjaXWs3C7m4BOkEvvPCCCw8ePBjTp08HAOyyyy5YsmRJJV6VAPt73/ueGn/ggQfi\nkksuUdOaSYXvEyvu7FxwFiAtecQBVIAmeD1qXTnylHnNTJMrLBf5Yge4LesnbctQxccpm9NEu9i7\n5CWAXKazfg3koH0dWzMm6RnPWq2G/77rHnz2U0di8759g34x9EbQsCVLsf/0ezH7rCl4Z+DAArDW\nydCAUxS4M9M5NwMAhgBwvqYeADc4uPtno0/vCZ3XlasDa+HqTY1ICtYSmONgzfMIi5umM2EykaiH\nmYRbh+qVJgRYn2JtYy0tNh7r75VWs7BbcdNZd1CnN529+OKLmDNnDjbddNNGyNMYMsoQFnG5mqkJ\npzd2pwcFD8rOhNEmyj1O2qCNDWTFmi5H+b0U46KCtbMkJegrcfD9pIIuBeUgHqy8JuVTy1fg7bXv\nYtLBB+a2WZYcungp9p92L2af9SW8M2iH8t0Y4c/uTOQT5BPymbBwfDyLPrFlC+byAmO2RHxZsBBg\njESvO/HpZXmVr7VFqE6rNomCeVwB6GnUC9gpVQLstjb96PH+/fvjF7/4RUMEajrV+eB77HjphNyF\nyohqHcNiMrOSA/csi/OFuLci9HzoG7lylB9jsLGjA/991z34wvHHor29HdYHzV3tvA3GGAxdvCQA\na+1EsqwV3gq2chJPB60v1p3xiDLUcwaoCiEFYOWsaNV9jQDYkWjQnhQFG0R1AmVusZ7zfJtBvYCd\nUiXAHjVqFC6//HI3KSVJgpEjR2L8+PHo06dhb4i1EBUMklYcQ5p3AWiMrJV45GQu1gSUpIoeAtIP\nsx56BNtuvTX2HTvagSpzqct7GGJZTyHvWVtXc5ondEVLoNbiiVs/i/Ngbq1lEzSiN8gAACAASURB\nVLQ3XN4p0Y09gTR/NgVd64pnu7PTDWL672HzMnLzGAPyIvBvMuU9ppi9XCaPiaTVK0svtQ5VQtlz\nzz0XU6ZMaZYsjaEepIk1FEOVdhO71Mco1mxa3MCjAEUDQ1jnAGo3U0yi99a9j9/dPwtXnH8Of0uP\nts/1R3rPwHrQQAbMrkwQVwasQWZTAs62/jIzco+hElamlizXzkkc/XUtF892v8GF/Zo4PevcWukc\n4Ol6PGVHd4D7+ri1z14fy2mYISlGifejgfwIiOEALFS6eD6lXFoJWT4iUmgqfvTHcLqJei3slCr9\nvOahhx6Kq6++2u16u/nmmzFs2DB87Wtfw+uvv94UAcuTn/FCF2OOxUYnYYWlVk9Dh05gOQkLka7b\nuiwmJ6/hVyPARYZhYEzN5TfiatscyhNtUO6tHl2xR3OfJ+f72/tmYtyee2DY4MFBXRobB9Zf+RLe\nGTSwlGjlR4RRg7Es1ceaYltx3cund3IQh/CUiAR5L8qXxnJt21m8DNmATt6TToI4aom3OYs9jW/L\n0tpY3gT2JzgpcMu6ZQOMEJ4DdPqpRe5rsY/R4wyyn+GEeLXL+J/sBEJAtxLR+5bbdNYCn1agSoD9\n/e9/Hy+88AL69++PP/3pT7jkkktw5JFHYs2aNbj++uubJWOUrCvSGANT4ztmqasy9wN9p61M82HA\nWlh+fdZbaX6StdYVl1dtR5aR7QgmV+pCla/vMPcuTNZ04nYFvVp5qXwh6DtgpvUF8uj9ZuV0V1pf\nYN5yQBJY5eRi/SctWGHJete2wZ9fex3zHnscn//Mp/zzsX3hb1yFQ5/yYL120EBNqpIUbRWbsKkI\nbiw5+fm4YO0n443oXSQcPjfbbt9y8j2BYEKIG5DkMBBkMEjczSmWyZ+apODIf7Gr8LUvCozKGjUV\nMg/QqaXNrGIkQZhZzuLqre/wZzVB6uBlhAeAfkS7TJK4w1MMySNHIBtdFHyVoZoH0kZmon3WYpvV\nNhrT7Z9WoEou8VWrVmHp0qVoa2vDt7/9bYwaNQq33norjDE44ogjmiVjlPLewwZCgIy/lqXFWSDL\n0jwTEi3ApGQ65SVfe9IAMrBuA14cnNW20OaUBes8GWnfxeRiclNlx8uQ1yYGxDGwzpHxl7+/Cycc\nMQlb9+8Hp/AQQMxqAQwwZPFS7D9tBh44+8tYO7DibvC8vHwYgU6bRkQx8CWKh+83Gqf0DesX2k4y\nRRswIEgyH61JQF7vygLMSE4U0EIh8ErQRpsG6AjALGEAyq11hn0UrCUIFlBQLhJJo0JQDw9OAbuC\nCWus4oMUoH0F1QCyUcMzXqY1AKqXOFUC7B122AFtbW0wxuCOO+7AxRdfDCAdnOvWrWuKgPWQZsmG\nYG3vaJy7c4kqcJcA4kAOCbo2LgfkcsHaSebBmH/HZKRR8igk5VPayaotAdbeGiwAdNcnWfsYUCG8\nlzKSNix+dgX+8vobuPjMKcpz5AWGLl6C/e5JwTp1g3dysgrGF08zLFX7yLJGYQSP7mJ6NVoRck/f\nuzZGuHIJURxJggTlJoECfglLC2Ew8ckWqIM6InJ0JYl2RXUDzdpPeKtNTiN8b3QvYLaihd1LFQF7\n5513xh133IEXXngBb775Jk477TQAwGuvvYa///3vDReuo6MD48aNw0477YR77rmn4fxVio6LUOfU\nAEjGO5YKiJcBa2hXRU4KWwTTiWXnAS9Pdo13FdLlj7XVAq8XlIG1zEPaRr0GRKsAAGzYuBH/+T93\nYcpJx2OTPn0iAJzGDV28NAPrM7F2kD/BzNdLZAacBRsCotEVHCeX6N/c7tYA2uh5e+A8VgkKEhnM\nK02BUcsXMGt96n7sbgnqBeyUKgH2hRdeiPPPPx/Lli3D9ddfj+222w7Tpk3D6aefjnPPPbfhwt10\n000YM2YM3n333U5yauDDrsgqAEOXoFlS+dXREm76jgJeGBfkJXKogJqThkjZPPndPQHy3GseIxbN\nE2fMW4CBAwZg37FjiMwebO39kKeWYL97puOBs89MjxutxbwCUoGg7meEcZB1afHefZ0V94qV/V92\nrH0U5rJEAVOy25uvlxe43sHzMZbiKqvMy9MVFIznup9t5wZFq7nEewE7pUqAvd9++2HhwoV4//33\nsfnmmwMAJk6ciKeffjr42bDO0iuvvIIZM2bgiiuuwI9+9KNOcqtXTe3GQZI3QCMAR4FZBfAskwRN\ngzAttOQUt2sL0pq1a3HX7Dm45qKv+0ipHBmTgfUMD9ZRRYWAtbs3DmB5nABwjR9RBhxQW+9BaLYL\nufNa3qpPpATlueTJDfsVLpeBLGzbfAnFf7HZzG4Yc3mpC56E6QI5WTMvMtyB9EnEwN59RYMyvpQp\n8XFjzv2JPMbnC+pX4nrCd7uXKu4St2TBGgD69euHYcOG4cknn2yYUAAwdepU/PCHP4yerhYjfSd2\nrnlWkeofzmpJ4r9mQFq5vvq+ciFYC7mkPFU13Uj+Tk0KJgi40C9/fzeOOPRg7LjD9tHibs36nC+T\n3eBFdZXNQq2j+DNh6o8E6RiLeE05iN6k6VeuKWuLucXFi8E6tnatmMR+CT3774DbO8i98U7fuVYO\nW3H8slV1uyuc1El3zOseAqaKBVf6+pW7z76HxvjXsfxrXEaJA0+XaVm8ycL2TRT7Ghgdh61sxHb3\nK12t8lpXXceTdXR04NVXX2WWw2WXXYZHHnmkIUJNmzYNO+ywA/bdd188+OCD0Xyx16Si6c5KjLmJ\nfZi6jrOiJBxapGo85UuBmYCiyeFTdTe4T/eyMgCQV73X1DsmX16bpQXPmBU8L3Z1D8RNKs5bQNtp\nfB8se34VVr7wIs75/GdJmpfTGIOhTy3GvnfPwJxzvoy18oc8Ks1YVRUXLWynbxck45M+Y8P717rS\nOew7T4A3/208r9yAbzxLSdstRaxKAlBsY5jFMlj3tb4LPM1vkTAh5ahBmzheFBl1TE9y7kROAsSu\nHZY3MZ39jnNplXux3a5w5qKn6VT+lI8h96qwSTg8uNXsvTo+TnwI0LuyYkwB/lAWWldPoF6XeEqV\nAHvp0qX4zne+g/nz5+O9995jaY38wfNHHnkEd999N2bMmIH169fjb3/7G8444wz88pe/ZPn+5Zaf\nufD4cfvjwHHjOCPp2pXAGAE+PU9efsPDLI/IDwpyBTwJWGlAWASWVEnQrlyOsFxsPVbLUyhPBeXE\n9QFxH4drv7aP0vuNHR34v7f/DlNOOh59N90UplYL6qNg/c7Agb4nyDghrQHUsEK5yX66dO5w1ybY\n2da71EHCRBmhz4C/fy7c8a7PSJ8HAlIHbOLi0lsLuIYAa/gKF3Uny6NCPQ965bxkOjOBrQJAgZ6I\n2vDXutTIhEfRullfZO1yv6vtgd0KKF9bM1YhAJxrPLFPoOo0WieONQL+5s+fjwULFjR07o9RL2Cn\nlJgiM5XQF77wBdRqNUycOBEjRoxg7uqpU6di8eLFDRdw3rx5uOGGG4Jd4kmSYOVTT+iFJFDTuJJW\nYprHkJGtgXSsbDmwdlyKLHUXr/EhbVUBUigFBfUE15KWdO4ucJZmmEyawhICso/XwBoA7pz1AJ5d\n/QIuO+dMJEkSWKhDn1qCfe+enoL1oEGsbGmZYwBJ4gtBlsitvUNtjK+TAzPn4fIFiozyzEgfU0Cg\nLmHv9dXfKQ5cxgqIh2d7JwGYhzxJfW2JzqPNx7VJfiwfz9/Wlob9Ff4+sfG+XptO62lrS9DW7vm0\ntWfl2hPBPy2LrFwqQCqPIfcmAdCWvo9tsmstgbvWEqADQAcMOgBsgMEGk34+NAYfGIP1poYPagbr\nawbv12r4oMPg/Y4aPqwZfNhh8GFHDRs7gI6NgOkAahsNko0Jko1taN/Qhk062rFpRx9sWuuDzcym\n2AJ9sUXbZtiifXNsucnm2GLT9LP5ppth876boe8mfbFZ377YpM+m2GSTPujT3gft7e1ob29HW1ub\ne86bbropGXONoyRJcNNf/0/D+Valbwz8blPaV4UqWdjLli3DE088of7Qx9VXX90woSR1hQbXHMp/\nuNUffU4JAjA8p+HXsgNOyyfqCK6BAsLr5SBNgM3yoGmUDwVJiDwAXl+zBvfMeRDXTr0wHSuGt9mD\n9ZnqmjXrMcNTmNJjm2poqrEZGC8uAWFqwq41OXddRS37DSNWc7GMFVqR5N5+5Kl7Yac69VrYKVUC\n7N122w2vv/46BrtzmT11dHQ0TChKEyZMwIQJE8oX0KzrBlAzxotzg1WliDAOJKpawyXiZB1avRLs\n6H8G6UZmlbl4Wl4fGWPw73f8Dz494TDsMGC7IH3IU4s9WO84kFum1FKNKBPSmg+s58DChsqb1SOs\ndNkfzqXNW1pw33MoAEe3ACwyOJc7cZtTd3ObYqUzS16uW4vNZ1QQpXpXXzdRqSdckKneUdJ7cEpr\nUiXAPvXUUzFlyhRMnDgRBxxwADbbbDMA6QR19dVX48QTT2yKkFEKrMmCPPShR63EKvVXL1KleCzd\nyLDWBgWsi0A7tGzTGqS1W0b2rqKHn1yM199ak55olpGVcMhTS7DvXdMx99wzsTZzg6ftIYBq72nb\nWR8J93N2n7uOLD0IQbzs3TCetkQjpuxlN34dNPUyMGdDwkslBBS7jTRAlBY1yRNsaEsjOYgTgHYu\nfMtSrikTnjYDBWsKWkynSJiYqvh5HgGqvJosl1E+soyLN7asIXzyeau6sODN01rlG55Sq+zS7m6q\nBNif+9znAAAPPPBAkNYdbms+8QWJuflVoCLlrMWlcY8P5SqD3LBLmFyizpz2V/66Rd3dMcYla8jX\npqoXIbTmnXfwH/9zFy4/7yvYpE8f9nxTsJ6GueeehbU7DvRWbF5HaRXrHc8S4k8qh3n9po9FZSBJ\np2RjwdpZkXYM2zCF98RdEnlVNk3RTVYM0DpJRXyiQBiLZLjtwduCOrO07dq6ixPr6MHvaydkfV1+\neD7LDwDrQ/fedZbmfuRDfgxgknQ+Ul/RMuSXuEy61m1fC+sAea3L+Ne57KcN/PWwmGIgQ61AvRZ2\nSpUAe/z48bjtttvUhffJkyc3TKiyVPm1rjQyF5wlUBsSdlaSu/UoYAJekbLG5RL5pBs2rIO1ieVx\nyUIpsWnSumZZ1DCLi1nngcziSi1U20cunfNi7nfRp5lJ6/OZdMK55Ve34aiPH4Jddt6J5R3y1GLs\ne+c0zD3vLKwdNMjJETY0D70rUB3FWB/QeGu5ZwmGPTM/puQ6vnFWto/zIB5SDKzpzmYH3CDWpnM3\nQ4AdQUyAW7zwfJkVDJKFxiW+LlezNGmFC11rpm+bb5N3j/M4zfJmCgvhJflyLwAQtJv0HSVDrv5D\nQDb7rviVEwLkslw2Fvz71Wn5Ghn67g0CK2iN199LrU+VAPuKK67A0KFD1bTrrruuIQI1hJhL10VW\nBtCMFfyIp4Ctg1joaqYAnAPq9svEgC/kX9gO2QYJ6PS/lFWAogPrWNtYOVF30B4B3FE+tn4BSkKO\nmQsext/XrcNJR05i8g55crG3rAcNDN3aoLKKvvbd5GQRseVmNpqdgnLWBjZRO1e64WGlH13fkb7x\ndcixFBdWAiD1jrl3rN1/fYe4B7Oi3d/hLnFmzSp8Y0oDBUWSjbmh2bWASmYLMwcFK3GqRHnDLUgz\nkXgXK+XM4968NtVDvRZ2SpUA+7jjjgMAbNy4EatWrQIAjBw5En369MHhhx/eeOkaSQHIiSQK3CpY\nKy70IrAWkzXL46NyrOYcsBYKAeXHGyyuBeM+ABgRXx6srWg5YK0qFxGwJnK8+tfXcfuM+3H1heej\nvb3dNZyB9Y5+zTpDxiwsLf5QIeD1ZvLYdtrOsTKC1OG6V1MYWSezcSDz+zo0RdL3EX0uTMlU6gMQ\nmYO5NZuGw3eHEQA5sboJJ7q+rIYlCEMeuOI3mlEznCkGXgAnL3cZEPDX2hrti05So3hq2Nrl1FoA\n2QvYKVU+mvSGG27ANttsg7Fjx2Ls2LHYdtttceONNzZDtu6hyLgwkfRSw0gbbA0egNRuI/geAoEE\nbnmtWGv8NodhYV3x/trY0YGf/tevcepnPoXBA/359UOeSsH6wfM8WDs9gFnZ8IBpr7XQyjW1Wnal\ncSTs8oMpGESzCGRXgdSWiY4HCsicSZdOYbkAUoQuOemJSJaKAsFi92kjWkAbWFhz7Xv3NfcmMPzO\ntaC7mCrWnz9ywnRqDDRMiCbTRmO6/dMKVMnCvvXWW3H99dfj05/+NA4++GAA6alk3//+97HVVlvh\n7LPPboqQ1ag1OrZRxABX0xrYt1K3VgPLluYnjMMDOgAJPCzOs+xUu6rQHffej6369cORhx7s4oY8\ntRj73DkND573FfGedThV6V1o+wuBNZ8FSJttXxJvArkvWrf3SoO7eDkcgOtyNn1sJ7m3lcs3jAKf\nN71N8rNpm2ELwLnboUpY2FQZpN9dNvZgx1MWNikTY5mZyOghdeXp7h+tWbXnUiXAvvnmm3Hbbbdh\n0qRJLm7q1KmYM2cOLrroom4AbDookTMitSQ2+nP4p5TkcOocCdSLXenXiYBLeuEgEViV9ssdlAEP\nM1cwOHhEy8eu+q2emDdVeHp29R/w4MLHcf2lU2EPSBny5FMerHccxNrFQJkhoBFxEbGkdKzPQCZM\n21Wyv5RnYS10Nwl7UGdVM+FMbqhwTEYQSMWthOcQt8GmKl6OLCIzF3vInG7wyhOiaF869YqXpyRS\nA7e+2eY6kUVzCtAU23wjykHGM3RmiyzBE6bfEueY0T4uzf4lzpUaKyupYFGny6n3ta6UKgF2R0cH\nA2tLkyZNQq1Wa5hQZalmlOGmWCTaJKi+4kUAXM6XFabHnHQ53RpRZw4Ak7wmWiZri8sXAjHL63jx\nPCrQCDlUeSLxgTwFsCMVBGMM3n3vPfzLL3+Fc0/7HLbu3w8wBjtTsLYbzAL5ocTbWuiDFWEXLJ64\nou9Py/FkZbDVkRkzAHAmN5XD+HBEtkyXoTFZvCF5EpeXuo/DXd9hXN5RpfFNZuLIUyhpIHnAd227\n5Wx3FYegsKYmDGTpJjmfhZ9VTmXj6+32dS3+OhdsO9uQueXtUalggiZJevxoAqQ79glY+8cfArXb\n9Z19bDx9HUsD6HDySbIxlBC1oOdRq7iku5sqAXZ7ezvmzp0bbDCbO3du5Z/BbAQVvdbFAFqL00C7\nTB47odKwBpxKehQAA1eqzRPhY8tSeV0b4v3CAFIFa9cwUoDKGpMn3xKvlE+AtTEGP/v17Thwrz2x\n75jdAYCB9TuDBkbqI1at2s+k//1d2FFVyUTCLFI8KYLDTP70hsnKJdWvusVJgIxe3VqvB2kEAJaQ\nOAnW4gMljoK15YsMmOHr1ExY/pvVerPUKAraTmnxbQNREIKwsJR5uzmYS0XE9ouh7coYuUdswTsR\n4AsK4EZYw0ZcU7IAD+PzuQRGPRf0egE7pUqA/dWvfhWnnnoqPvnJT+KQQw4BADz88MOYM2cOrr32\n2qYIWBdRQBVxaTAHhAtAXHMlu/d87Xxa0aLNUhw4xkGfiAaRR7YzwqOYDPtPJJdZhDz8mqbng7GW\nR4I1AMxc8AjeWLMGF075RwAILGsvg2x7qaZGMjZmgsjnTKdppUAU7GNpnaNECeXlisblFS/DVw+W\nYF5XxYVsJNci5SFhGYv5l6XCR17E1+Te9lIPoEqAfd555+Htt9/GNddcg9tvvx0AsOWWW+LKK6/E\nOeec0xQBK5MG1iy5BFiXBGrNWoyBfwy0sxgC1i5baOjmTdYCkBlIV1AcXKUUzKRMEp5jSgLNWdEr\nYcu9+MqfcduM+3D1RRdgk/Z27PzkYmXNmveL0hOsM50XI0/JkvIQWdm70rR9xsdwuQyrD0ZTdkge\nlYxsWBPJoGHgp1DAmRv2/hNbmGbu7jSCOQhInLOmE2Jla4I0r7kq9YJlNeq1sFOqBNgAcPnll+Pi\niy9272GPGjUKm266acMFayhpD7vM8y/IU34IaRZUxKoqxS0EuPTCLVgJNsWWf/F6tQaKzfoqvf/B\nB/jJf/wXppx0PAbvsD12fuIp7HPXPZj31bP5bvCIJepF5kDt2unaFq6zx97RDg83IeWd613wE/U4\nx2ZWNuolIY1r3nSVKHeNQi/id49VrZqv/irXltuEmz5ce+Y/GMLYUZc8jQNvt8wbyBZrS5nIHB55\n36kcNa5U+aK6W516ATulQsBet24dZs2ahSRJMG7cOAwePBh9+/bFHnvsASD9vepKv6bVSJLWdPBM\nOSjytR0CTqBWXqS8qLP5ZHJvC3JnkYaFuQUpwZowYcYcyVdBnqJ8RcWNMfj/bv8dRg4bisPGj8NO\nDqzPScG6zudg5GBxbRXWss1hZLzxeY0sb/i98KA4ribs3bA9/D4B3PGjAIKNZak1apCuk9rKEiDb\naCatSrLcSjaeQazXctM3hq1ECA7QEuyICcw3ljHTOE23t26DWmYhU9NaqYuCt+0Xtv4Mz4fxFG32\n1SREXmqt8zIe/Ak/90QAI8Efbvi4j4xLN5tl+zjg17PtOeE1Epfpi2F58l1OdUM+Z8r6W5V6d4mn\nVLhTbNq0aTjppJNw5pln4tVXXw3STzzxRPzTP/1T035eM49MzcC4k+69tUI/9MALP6qNn3zJIPau\nSxu20TkTbOBSltO/AhK0DQFwksnd0BxCoQiueSCjUKCfiHooaqtIrSk4SjamNOVPCzR17qOL8IeX\nXsaZnz0ptazvvNuDtcIvCAVV5fV9NEs5aUtpMrKuuDxlxZDg5OIBAlIJ2gRotanxYhMY5UVA0YN7\nIu6DQhyc2W607NrmebpPGwFqArqOL/S6KN7T/qGdoW5+czvak+zgley+zcvi4yyf2I9/KPyJYOrX\nCQRgDT0nPJ0P/I9+kB/ugJ/uLHCzHwgRH6Nc8+TopcbQL37xC4wePRpjx47FZZddpuaZP38+Ro8e\njZEjR+KnP/1pIc9CC/uuu+7C6aefjptvvhkf+9jHgvSnnnoKU6ZMwa9+9SucccYZJZrRFWSU+VBa\nOVk+IAA7l0JAJwBTF+bXMK/nYyL1FvKBVCqgpjkXK+WdhYO2kW6RVy9+KEuRy1zmC1zCVg7FdW/b\n8OIrf8Z/3zUN37vwfIx4Zjn2JmAd2/2t163IYO9pBxQqFxWnsVhRqkjRfpDKY6RdVC4O7XFZGVQ4\nDJQWsNipTRUBCTwMfMEAOeaalu5tDvAEZRNyL8A3RlJX0Mom8kbWTS+KXFI/sIEknhqVlT4xA/0J\nQqTJeBkuGqkmUncsfypryQfQRdTTXOLLli3Dv/3bv+Huu+/GyJEj8cYbb6j5vvGNb+DnP/85hg4d\nik996lOYPHkyBgwYEOVbaGEvXrwYV111lQrWADB8+HD8+7//O2bPnl2yKc0mo4xCHWgpYGjrkulk\nWSPrlHYizY6tNLUs3l/TvDad8qzxCZryLOJTq5G8Rq+DgHWwmYv3BJn7PQho4AkLisrVgSBrh+Ey\n1bhsxhh3DGiQN/u8t24dbvz3/8SXTj4BB7/y59SyPu9srB20Q9BWpwRE+MXyurY7ABXxrouM6y+X\nk8x2VgFwg4uMMUPzEKCWsnklAqrsef3rP/Bh8bRVDwvFSAHS3DrmVmoi4rX8zArWwojBWiRWWtXO\nExBa1FXAk7q9S+RuCHUV5DSinsD71M3U3ceSVlUY7r33Xpx11lkYOXIkAGD77bcP8qxduxYAcNhh\nh2Ho0KE46qijsGjRoly+hYDdp08fV2mMRowYgRdffLGIVZdR9aFG9E1SmD8jw7NW4UsYGSWuNFvG\nx8epGrYE44okNXAO5EIhUDJz964EMJ7fgWSthn/91f/DXqNG4nQAe9sNZjsOyspTC1UoYbw2koco\nIxKsYx9yjrhVjFCz8dknW47x54uTeHtfq4U8AzC2SoBUKFxHRsZM0VNtzoSrW155Jm2MDwlIM9m5\nuL3pq/1WN7PuqTtbuKmph4DhfwSxVfGL2tTNBmlrwWvjqbvBuipgz5w5E8uWLcO4cePwla98Bc8+\n+2yQ5/HHH8fuu+/u7seMGYOFCxfm8i10iQ8cOLAoC4D0UJVWIer+qVyiYuGW+aJIMFXSKeiq6/Ia\nPxldMq6ItDJ3PzAXb6/9G3685x4ZWJ+DtTsOrLMCXfNiVmyWFu6ut0DqrV9upUs+AoBJPmrlBnXT\nOE1TrILPLU0RNItgPwNTC7aAt64Tj9ls81nMM0Crs+vVzk1PVJCELw2oR5NCs+w7R1TdNAgfu4yX\ncVJdTf8bGCQkzUB2eHQGaMGx1oou8SOPPBKvvfZaEH/ttddi/fr1WLNmDRYsWIDZs2fjggsuwJw5\nczpdZyFg9+vXD6tXr8aIESOieVavXo1+/fp1WpjOE7W6IunqrRFxIYcCeKtrkDOr1UXqljELR8A2\ncOsKoJB1FrnEC13rZSg3o098ZuXzmPbgfNxxxCex3z3TMe+r5+BvOw5SGOgP2IlYSdkq8SzVMC8X\nv9OVhsI6i6PL56oLXBqISDFWiZ4k43LXUhULme78doZ7YGmneRICzFQB4J5+uw2PnoQm5ZTmub8v\nA7YG4vhR0E1m/NOhxRu/Ic3Ye+PvbS/yY07998iwr5SiLP4vpTcXvYS3Fr0cTZ81a1Y0bcGCBZg4\ncSI233xzHHfccTj33HOxfv16bLbZZi7PAQccgEsvvdTdL1++HEcffXSuTIUu8Ysuuggnnnginnvu\nOTV95cqVOPnkk/HNb36ziFXDKXRnUi2TWz7UavKuUuqWpBYRt67oDvPs4i0oVy/nQ69UVi8D5Wec\n5RUAJ6nH8oHNQ+UqA9bEkmRyyToDPrQP/dXG6+m8LLdkuRyvr1mDm/7zV7j1wPE4dPYDmWU9iPWX\nfRYQfc0tWTDePo30A52c6ExK2l6OOjej2TZRTq6dWayxArK8hqZElA47TXPXs7NIAQI+CcvHLFiy\nyYxuGNN3RVPg096JpmV8bUF9QkYnfmB5h0AexDBw1dzhCQt7a55b6zyeGLjwpAAAIABJREFUWOik\n7dwTQMuFvOzHPdWsHAN2ki6fNX/+dgrwc5NWjo0Sw8vBcfVytBpt7IbPxw4cgl0vPNR9qtDBBx+M\ne++9F8YYLFq0CLvuuisDawDYeuutAaQ7xV988UXMmjULBx54YC7fQgt7woQJOOGEEzB27Fgcdthh\nGDlyJLbffnu88cYbWLVqFR566CH80z/9U7e8i21MwQ+OGDGhuYk8/acBVABcLGx8WcvI+DxG3DO+\nNM2FTUlZ3L/QnarJrFjG/Atr+JVMBb6ccOlSoHQgEtbllAgH4vBg7dJ9/AcfbsAPb/0Frhs1Ascs\neszvBs9+TCZWzgN4kaJh+1sAuu0CCvC0nxh4GzXobuQMpygBbIzQJKrEBH1NnovRmCOb+E2wJivB\nzlqItgwFSL7eq+/69vExII/8+Eebwq8tVhbRtWgrt5MXQrmgGUT/xEgmJSwsONJ6nHwUuLN+or/V\nnaTAawHdkPi0HYYoIHE5qVRRr1BGaqopkacsr26iVnSJ59EJJ5yAmTNnYsyYMdh9993xox/9CADw\n6quv4uyzz8b06dMBAD/5yU9w7rnnYsOGDbjwwgtzd4gDJU86u/baa3H44YfjyiuvxK9//WusW7cO\n/fr1w5577omZM2cGPwbS7WSUYZ0HxGXA2oiJNstgWLkyZUww9xoaDnin/wxLVGTmLFVQZuksL62T\nQbcANioYrUJRAGh7I6BbMwY//83t+FKfPvjy86sx7/xzcn7IQ/YtGC8dtL28EriZpU8UDCpnIIOx\nXhnaDezG95vsY0YGYP3MWHjwlgm5moEnBjzUYmRBYsVKixEhfvi4RNyndwxAY2Fqhcqy1DoXcrt0\nCPBmGogXyLnFbRRRDGIdxZJEODeNWO4q6Cb8xomZKMkNo1Cpi6REia3ttwD1NMBub2/Hz372syB+\n8ODBDqyB1CBesWJFab6ljyY94ogjcMQRR8AYgzfffBMDBgwgrq0WomY/2JjVml8oP64RIgvQDIDZ\niHxFk39EJlMmU2FaStPmPIj9/vhHXLphI+adn7rB48+vbL9LbcKCrl2igABr4xWVGHhDgjyN5+XD\nfpZhemvIRzQsaGTPmrDySMFs9Z65wakyEbjaM+C01jixeiV7eZJZrlGeoLjb86ZAJY08bXev5dHT\n4jHZ8OS5yFeh2kxNvGO91FJU+SzxJEnUd8o+ktQFWl09NZjgm8njg3VuGWcLO6Ch5fmaMEcYbgN2\npi2Ln12BvjMfwHXtbZj/tfMKwFoyL1tTjlLCgrYv3F0aYv1MvSgUxJFZ3QL4UwYuLHeD27JeFNr3\nZZrak6bT6oq9juGJwko3VT3oJmFcFek6Y5PYR5TQZ+zBtZbFu41jifGnmWVjqWaMP83M+LRa5qHi\np6PRjWcGNSRuPNUAJMag3XqJiHgGXD4ALWeM9TQLu1lUGbBbispYu5o7lYZj7nDN/UyBSimnl+fu\nYSetVIMZQFIgJfEl5A3XeiNxAX/Zlhw5IvIwHqIP6bN68eVX8Nov/gs3tbdjgQVrQUE/szrIRXoW\nBLh6OSlnGcdqDBQHycvrML6fNLDWnwkHb7+xjtSmPSshUUKylwEVtlQqcC+EtMRZqHb9lVq5gXud\n+r2DBFqBT6ducCaJFDAGHDltDpy52i2VidTFoxO1TNCHMiD6LARGHzYG2QYzu8eCgDgImBt91ziy\ndAbWLs2OnwRkmKZx/KvkyECP727qBeyUejRgs7VNnsBvRVzU6swDa+oiKgQ/AnbuVgKdyCfKU5AO\n61Nk1RSH0soElyN0+8o8OcqClEkA2F/ffAsrf3oLftLWhoe//lVnWYf8qBvaXhW5hIyqrC6NyA7j\n40SfciqeKAJAjSgqzML2ousALsaLlMMAusGZxXvsEz8zCQ7Ebq1S2xxGXMzlN6Bpm84kT40X32Fu\nK7XA7tollAHnGidhkPbaXL69tk79HHDfDzQtIe1IRJt4H1nZDNMDSLp7RuFGQQDsB14kGf4PNMT3\nbfg0DZBV9kHGyNzaTdT74x8pfSQAu1RaBHDzAY2Dm59DywK1AGcpVwHw5QF1LC2II9cgzJumAAV3\ni5fps5hr2BiDd/72Lp798U9xg6nhkW9c4H51K1AgNJBWwZf3fZ77n70yZfy97wjtGRDetH9cXtKZ\nrt84Bc/AIbWSzwI4fyCBQpDAwK2vJgBFB25J62DtAd0XcsBHgYeAnAbWcECkg27wU5cJr99K4Dea\nifJZG6zcDJwpL9YAOJlc2whIU2DlHgS5a12CMOkb+HysvuxqH4chPOwT9GIJZE7Se4HfISXq8Ok8\nyYpbzCXeSyn1aMCOkQbkAVjXw7fuzNpMzuUoxZsqEkFZriREryVJ08wD9Ildldase/99LPvRTbj2\ngw+wcOrX00NRAqWqgkAsOqd/qVVrlQGnCFAFQVcMYsqHrd0rKNm9q54rZoHMzNqPNzFnJOtUZZ6l\nVl8SJJUpXiIhzJXQeKoc0AzCsuegKqxg9poYsabblANTElI7qTOJhLW8DSOFZ+EYMCXzVaXgC98M\nraB+6nWJp/SRBOymUJ3jpcuGmYp91AHLLbc8Vzi3FrnlyAEyitiMPvjwQyz70b/gynf/jkUXX5id\nYNZYyu1nYr6GOoUC1jZDDlgbG46kuWuQLlQMwofPxuRZfFRJQ0ICqAnJlwBCuRCRzBIWx42SLDad\n3BC+Yg3baQSa3OqNSppSZtesbXFDxp0h6fSbZVyaDXvlM9M7YeDXsm2crYjFCX4BtZiF3QvYKX20\nADtmPWsPO7A8c/LwyOy/BLf/n703j9elqO69f9XPPgeQIIOHMQICooATOCAhCsgkqKAiRkAhigE0\nCmiG6829eT+53uQ1n/u+iZqo8TrEIS8RECcEZDgHmWcO5yCTIOKMREYlAp69n673j67ht1at6n42\nImc/3F3n9O7qqlWrhu6nv7Wqqrv7oVWN6rGIPR1zzfrn3mtWYwXYg/pKaOmq9P2U5ubmcOtHPoYP\n3P8Arvuzk/CrrbasnidfPVL+krrU/JV0RprqPYBuaOmQypzfmqZg7OON08s2VHI6TcrJ87mQ55wL\nRvd5Cp/gBsvWpRFOFLPlHo+zlDiLB5Pm1i+nqxJroof5Y1ieL+dhbg35PH8d+wko1fWWjMHo6cyW\nIM5btyI8b94HGIfLJi1E8/GVo57i88pxwKHxOV0nV/4kxC9nPqNfT4JbBHbnphrYYh5SRIjbMoUp\nv4KXtDrZz1e0YZ12hTFhp2Wymjose+N7ZFJ7GJCeD6wL3ZOWTcXPjcf47kc/jvffcw+uff9J+M8I\n6/mUu9IJ6cJYdqj8Pt0Jxe2R71r6DkZ6tF+cC+O8ivpxuUSaDGphYetbevT2ssongWKNFhuhNDRc\ngIeGma0haJ7nNRebmXtruJqHu+1NDItz3fWe/P2rw1UnhJU6Sqv1sqlPVrf1TXCul6d4nndHFjPP\nZ7wqLDx5IaPvfHQtFXGWfKlz0S18N+XA7nk1KYMyHOeL2gIGipuqiLPkhsD1ZOvpgbT4Nf+WsB5s\nQ+/Rti2+97FP4j0/+Smuet978ejvbyVlJ9FjQXs+oDZAL8OVjpSHbGc+D8J6BoRMCtPyItyrJNm+\nEvUTOsNipMxkco64o6DNI7o8txvxpGEKC856tXjldaQTQluuwq6BnGSA/IfAJ5nuDABaYaLVqi5a\n3Y6OiznuSlvIwnWbR/anboPjqycc/zbUnKhTN71u0cLu3FQDu+oYdDlQ3tAH0tMO5QFrtf1SjwHZ\nx6MHlh6GOnNZxxt16nG6581tZ3Uw4t6H8Ls++Wkc/4Mf4qqT34PHtn5mATCZl8otwbcofc4qdUrq\n5cqwhgFrL47LR9jkyEuOz3Ec1j+fXek4pGMb1rLmnXORyYnNJsWlc8pL4BYRWq6upipTWr5kuTrO\nprSGTUAbVr0gtyq7gGjReVE5U/JqE05U6aKvULRDEZ9OIsmmIIozna8fPUW5tvhYV+emG9jJQplQ\nxgJwJkAtsfQ9UT09s1MxlGaSSLborHS+EDd/8BN0LMx47/GjT/0rjr3jTlx18nvwm223eWLabL4q\nlIUsvAKoKGFrWuNdeLLuBaTnA2yOp04HdUZ6rw2n9hqIFO4okRlO1mFfVr9bZ9Ks9LF1Ha3qCHSQ\nlU4JxchAjOKhaj5G1hXTwokuDZzQAyoQ5Sss8TzmMdGv3ReeMPZS/1nyTzxcmqKTmzp6k2Rr6F8o\nbtHC7txUA1ssiioiywPPPwiy3qRfy2pdT3AntnYhqnBfiSNDW4Em76vDxtlEJcuS9Kg9F0TwMJXF\n4yef/hyOue27uPzEd2O83bMGwK/q+Fs0rHGvmzzNpBGTZGJF9ZhARUcSqBpYxU23YrUWL0ZhP6xw\nZcHSXg/zMviHC1h3Q6KDhm1hyQcvwTy3TeVlKHTcRH/j0BRxtRenyJfCQLWVD4eeTXgHxLuNRxfX\norv2xZvKPL9uFPn1pOBXlPKrS6OsF4vRYkcRAJx3+ZvY1Kk027/SiVtbbhHYnXtKALsSawBAWjQF\njBhcOg8FeJYtYNclFHCUumQXQ0A0wRRStm94vRj2rUGb6l/omwTaPR0B7/GTz3wOb7vlVlz+3ndh\nvMP2g1bncOeC23R4DjvEijblzkThijBLphbz291AnOuyd0B6u1UM6yzivpspEIe0EwuchJIJa7Yk\nCxmn4A0wpGWHgOMIWFEm6kOWy4VXepXuZA0rdVKB0SZGTO6c5PYR9THmoGW7KPArf2azS+cDiFeG\nLrhPEE9n1uV7UQJ4lkZ+ZCtONWUZ2y/15BUT/EiXT/nlsqp7TpJbdAvNTTWwX7b/q4uw445+G44/\n5m3F7fTTX/z/8NlT/r2Qf+dbj8KfHH1UAbLPnvLv+NyXTivk33HkW3DsUUdCg+1zp56GL5z25UL+\nj//ocLzjiD+SHQHv8fnTz8C/nfHVQv7oww/DH7/5TQXA/u2Mr+KUr32jkH/rG1+Pow97QwHhU75+\nJr70jW8W8kce+joc9fpDklzIBF8682ycdtY5hfxbXnsw3vK6g1XnxuO0s8/FGeeen+SOAPBhAMdu\ntSWO2WF7oG0zcHlYmIDb2+kxgCwXrdmdiNoiuJwuzDnHmnMHKRYLfEtLsebRRCAPQIbrrBwfFhh1\nQ6Y+ROe/UpNa+0xAswDM4GULPCUnsslBcwkfEIjF0LLLMsWiMf16057XnYp0xnGqVywcVYSMWDEi\nLToJE7jJxCbpLvy2mcQLpHP91xcDeR5uQFhHL1rYC9M5P6VdKeccrltxvhlnLmyyrNvaULFlxSaI\nkBwBzAJO6rkKP5tsA/nPy7q2gFUvV581bcG1Zml77/HTz3web73lVlz2nhNw+Mc+idM/+v+W0GV9\nsdzzgXVKo+BbrXtNnuaTuY20Re9RiQ/ApzBeiMZ1lPPU3Lbl9ZOvS3ntCKesT2EdwrIU5QKsIjyB\n14arCWU1XGzJSF2u8iYytVpcy8TjxqFptIwz3leeZdIQNvmbhsKCv4l6GifSOJflG0rTjCh8FOW7\n8qDJ7eEd4J0L+zykPXbAGMAYvts7YA4eY3jM+egHZuEx57ttDTxmvcca77Gm9XjMt3is9Xis7fa/\naT0eG3f+NW2LNWOP2bHHeAyMxx5+DsCcQzPnMJprsGSuwTrtCOuMl2C9dgZPw7pYH0ux/mg9/N5M\n2Jauh6ctXQ9PW2c9rLfOulh3yTpYZ+k6WLpkKZYsmcHMaAaj0Qij0QhN06RzsnTp0t+JZe6cw8ar\n3v2E652ve3C3T671kYeptrCFYxAbcfWwvhPghbeQnPjc2f1khk0SqYGYU5rDx1G2B0AWsIf0GfCM\nabz3+PGn/xVH3/pdXP7ed6HdYftJq66C9bnoO1/Kb7RJrovqvJiwznWUln/Z4WBgx/Zgq733fBht\nzY2RalS7pqoGj7N20Paz0/LByxZtjnPVLE09fa6iRI8I5Dht4eewDOg6rMVIgBptEGHI+XMnKBZB\ntoYoMLVXpZpBp68KxGPjOq74bWkKV7+JSe5qfXfABWdhr+0CLBA31cD2bTsZM5VVDciL3LLSKEgr\no78TZF09MDQOWPyTWtUWpK3h4xSudNqWYozr/K1v8cNPfgZvv/17uPy978LcDttLmKfyGdY1dxyM\n5vHiQA1f16xt0VFReVPnJYO8hDJ0vQVMc/vlMhph6jbYdwNOziE/husoUKVgrnasyfDJQ9mGFQvy\n6/AAc7Hq2rSeyzDTui72dlwGqJbJWwK1qDvRVICe+E+dgPyiE1CeMv9y1KCDPxrkvVne3IFIDRo6\nED4EeT6fal2CNzefLsVwuabPa3rk72THeLEwzfNbz/K+qVx7vid80S1MN9XAbicZnigsb23RyJtz\nlPHekpcyUlYCMsGogKyMqy3g6rwWiKnMvr8McshVlppKIfNO+igPEe/Rjlt8/18+jT/5/vdxxYnv\nxux2zxLwmvewvE7D4BR+Bf/BNrPLn/UYUM6Noz2/tRMIDvf3dAoJoF4FagM07V0GrYangBNK67Kc\nh5bQHoK1BN3k0O6WY9sgT9BzeYjfxYbrm8OmTolob4J0gnZK56j8SJA2gRw3greEv6xb/loXnXh1\nJeTxnwBOBwK1L6Crw/KKcb1KPMq6pL/tip1XiCN/S7vm1vbQr3aLc9idm2pg152Ccgqm23IBahvM\nIj4lU8CsWLzasu+VMeM17HI8dxgsr+hQ8LFx3YsgMcIg28sDGM+Ncfs/fxJ/+uMf48qT3oM1225T\n1FXWA7keE4wEcJ2ldaxhLcul21TXxay/AeWFcFtIFloRofbaX9On/xK4RaZOp7E05DAz66JsTEmO\nLlMziOVIQ61cFdcn5CCKZJd5WJnTelTbRVi7gQJbV57xC1e/rRCmLlYrXb0GVhmyW3BD4ovABvBU\nBbZ1bg1Y010/Q4NlCc463oJvFeCcZw/ES5ir+giY6urKOnkVpOtjz/lCxim3ZnYWt33kYzj55z/H\n1e97D36zzTayjgDedOD+RruUdRuyuiWscx21ZVw0BpVFVt7yGzpER05PEyBZ7EV70TkzRzhEu3Ib\nSCemZDRUa25IaGHdeycsjqRqYW3HwIpGuztR7ZGYXZLH68w+IYc5GeHVBmOv5WppNdiHZKx8gPo9\nYG25RWB37ikIbAkQFEe1S1QGay0a5pbmepFYTw4roC4KYM/vSn2VoXBlnWcZ3dGgmg0MJT/8yCO4\n9cP/jA/c/wCued+JeHTrZ5rQP/ygA+SPvVJ3EaCb1rzLWX493cEyeQoijTFQJ8AeYrdAbbdHXHRX\nyhrnJJXZGu3gOqjahPSJS70EH7aJzSQ9IvPG1+PiXR4GF8cIw9KI1l4mdhqyjjLVOXKX0mbtdKxN\n40o1dOpJXAHAuIWh75bDaGvNzdNXuTr/2Hcrzi3ZsacXr3jAeZ/KXoDb+1Th8BMoyr+IyoXjphvY\nRq+rBF8+9oVf31QlyDq/cXPtsaglhPkXQDdrD1NP3UL3Of+qPg2guB8oY0983P/83vvw3Y9+HH/7\n2GO45s9Owq/pQx5Dow0cJyzT3nJwnWJcH1RjO1h1IB3pOIZRGxn6CljTcS+s1bkpoEzXIRDvl+pa\n1uO1ZGGmvSOUiDnVGJ85mIZwI+iC0sjKnB0BlHXEtOJYQZILShPGYnRVlU2NxIu59BjginDOQ1nb\nCvJZzIm5/dQCQW8ess+F0vVM+kVEVBUWm5FsnsOO5zYgMwISGZIeTnfnTKBHqIvjpMMrWZ+uMJ9C\nujzj+h+WN90CobX3S9Z2ERaEm2pg936tCxK8McBrfxVc3R8BHFNuALqGrC1nW8siXNVp3mWZB6xj\n+G3fvws//N+fxT/C4+r3n4iHt9wiwWo4Lw1cFS7qWC9Ln5Wb8+a8dHlyXNmxiWWR5yLfNQfuWBzf\nIypGQU0zzSEtE1LxhfHpsoVoLgiLMiIug6kINy1T0CNTUp/oMCh5O30Ir7xIRZc1gpPrwu2S4B39\nso+R5B0JZLnwT5Shz0+beD0pxHPhaHI9EMEtyppfipNw7x3SG+08XSTiYqldRNLpYN8Tl5qy73oV\nvawF4Nqla7sEC8JNNbCrjmFphU0ALgDCP0n6SfTo4eL5wTr/uHlUoA/GYqX1QJ11/MXXXIdHzvga\n/mnU4IoT34NfbblFVUepi+pC9eC6PdmwznKUb2rvmm7Om3SFY7NTwnXLVwDdIL0B7UlhTXu2FDkp\ngSPJE6yTBSkyZIBTviFO6icZ3qKXIZr0isFokW+XxmW4OVaEnF5BPavQjUNyuoVEu2SB2AGI+TpK\nJdsxB4oV+hSXmKvaEPDIA9MyZsgNdBvnLTeoZ6ij+mS7RWADeCoBmyFWxEnYin2vzixTk57ssrak\nvLh/571X8REaRso+WFvw0zIcTv7xeIwvffMcbHntdfjYzAwue++76rDWUNJ1rZ2Svshe50u/51Dd\nNlRC0YHIsNbtVYN4bXjdewZ1aaWX16UvPoccS54+nzmhy6PCZSIGkqlTQ7eM7gmrFNIpj6W3Ansh\nz/0ILcsmdQPhd04Cv3x5CnVWYrqUn4S0kKWy62rpKk98/gK77buD7a/KWUbKb+EWnIW96ABMObDb\ndkKMsrVDUCys2hxYv/gfzw+j7xdZgDSUVe1lGSNQ+mSlbhvW5Q/+1488gn/6winY7/778UEAl0ZY\nV0Ev8/vqBStw2AH7VcqVy6ya2yxzLlqALAMz6jWs6HK0wmdYswUdy0RtkMKh2i6dM44rOwpStgJr\nPix50R1b/ggjQFibbBHrZ5rFkDPpkDLl0LcVN79nsa0wJ14yMunz26KBEqvJIs8qBdAL8Cpog/Nw\nKN6UlmXzULmMk20ST7uDoyFxef75uolbvE488pe7PHz4ele4Gn1YSOZZ1tNvI6Tz8atfLv/c4OHD\nl7qSPpE3UF7JlnsiuwTzdIsWNoApB/bwsA1bOfK4gHY4YID15qMs9d7hcK2nF6QMIksfw64GT4ao\nqK4aWJDp7/6P/8D/+tTncOLGG+HkRx7FJX96QgnrgfJ8bfm3cdj++1IZ5N4EedSjCpnnymObcBsp\nqzbplOejdyi9Fp6KwOXhcI6D4ezrsrBZDFhXQR1kLAiVbyDTi60gwiHCM7wY1hqgGXCTwJqBK+Fd\npskABL8xTNUvyRYmLzVsaDCGt4Y0H9udi1r5UXxWE0p3rJsP8j4VUEGbgryxZWjz28tyNzJ+NjPJ\nxDRRItw/WnjAu/QWPQvU4v7E/ifYYv+t3SKwAUw5sOuOgKXCOp+kGVtk8bKX8aSpYq3Od/7ahPcQ\n0HORiBzSAtR1y/Hlz49Drr/pZnzy30/HP77geXjrLbfikj89Pg+D6zbg9L6Mt2FdsXyN9umdO45Q\nfiJgXW17zo/zteLLfMV1ptpLQ7uAeOGccaiJVUnmdAAC9F0hOqSnjB0uueyJZD1F7hGSSNxLVjTi\ncYRo73vEQd+y1kCWeSR45yKoak1yZiZog1h+g346iK+XcKkV8mUa0PUmYRx1WvPmtltQiJZuEdgA\nph3YFQvbax8RjWFsWtcWyDleyM4f2n16yvLrihU1q6ZSzC7qE8vajsf4ynkXYMWVV+MLe/0hDrr8\nSlz67uPxq622ROrGF7kIhUZGxNMKVEVY0qWsb4YjOJ47A3ZriHLrjpI+B4VFb0FalUd1HsQIgs6f\nW47h4FE+Wl1Q3VfBILHtjHCaz4VkkVMqHW98wGl68n/crqbUqbKAgJusbYI315UgnUYVohoe3iad\nINmaVZ51sAz1S4J1bY2WpELoWxJs0Mo4b8qLjTqL1q8yX786rvoLWlhuEdgAphzY9pB4BWXiBk69\n2cpN1l7NTX4/jwvdAm2hp6Qr5yB+sGxdZzIaMIkydkfi4V8/gn/+4il49LHH8OUD9sOe5y/HJe/u\nLOsCZFwPr8ujK8f1sNrDBr+txwiz+NwTZzo95Gece2EwU4dOwrxs75y2vP26AGkA3Q3fE5KdwWty\nKZmTYRxePqKFNIwswsEyal4bAYC6LAS63gJO6nrkJ+ocGB0KUd8o4pwAbBxlkMPj3H7lcf78Zmm1\n86c1eYigs25jQWPvjK8zyHeIh99wqzaPODTu6eUp4T3i3hsvVsnHLt0XXAJ768UEVLqOgfKKXXQL\ny001sHsvL31DDmEp1eMAdU5WgsyrvdaloWfJVS30AtBctn5Ii8e6qM53/fgn+PDnvoiXPP95+O9b\n/z52O/PsDOuiTHbHQOaXapU7DjDKlNIP193sgGir21tl46Fuan/dyUpt0+MqljpSWVRU0RkJf1w+\nZAu7u8HnUA1lHhbm4WyGb5oXZt1RtYZ1DBdzxJB6KmFJr7BkiZSpYLznSnE63RmwKk8twjpYps+J\npNrSzp2S+EdmJ88HjzA450T90rx6aI/iC10+H4rOrjMuqerm894T5MF+n4/T788J3eyMO+TCdYsW\nNoCpB3bFVWBdwFdDgv0GWGtyvRBPICE9FfAOQTGrmAzwYjV08LXeY8UVV+HUs7+Fdx7+RrzFe7zo\n699MsM56aoCslC2Ev2G/fRIcMzSpPANlrabj8lTCS32q3AXkuU7l+e1z3vBlP4WpyUsBVHXDZ+al\noVwRTpajAm6yjslizEChnBmuFC7hmfWw1SjzKPPTq8HNueaok140Yi1WE0AUAC+rkuFvQLyP67U4\nHT5B34AFA5d7nVd/++SNq6oqp2VFB9HIq+ZfcG7KgH3EEUfg9ttvBwA89NBD2GijjbBq1apC7lnP\nehae/vSnYzQaYcmSJbj22mt79T71gD1woy2sLPY/DlgLnTWAWjJC56SwTpTJEDY6DjUIPvrYY/jM\n6V/BD3/6M/zPk9+DPX7yM7zoGx2sf7nlFjn/KvSGYfvG/V9VlollB9JX0/mecNj6YpzseMjjqtVv\n1Hl4MVwuS3EdunTqjPs/hSrjsmp0GpCahCuu8FAGrgzvy8PMT1jKXHAGMJRQ2Av5YAFTA8SOShJz\nOi1nRSWnTkCV0RNDuc91g+Di3pJ/siUswzWWrWdk61hs2XKWn9gYrdFYAAAgAElEQVSMYd21meRF\nOeK15ZMe6HKo4wXppgzYp512WvL/xV/8BTbaaCNTzjmHiy++GJtssslEep8awKabo3nhMWx1mgkg\n2wfrcn63Rw+XgmAd4TxfWMsFXAa0qCw/uvtufPhfv4jnbr8d/u8/OwnPvumWDOstNk/yIWcqg11P\ns0qifQEpKP3WeZLp7XSm32gTexg93tRiXAlsr+pdBbPuAOhzomvoMzzyLTSDpUS5PnYoaGMAVka7\nXjm2wqtijuSKzFUHQBTXadGy6K5ShlhVBjABulh8RnAvH3crF52JpmSI05QBjzCI4lvtXe0FdUH5\nks33BAFodNefnrvW89HdvHUEdp6/jrrixz+87+a7uz3QeMAF2Md+KXcCzCXsosSL7vE67z2+/OUv\n46KLLuqVmdRNNbB9a79LnOEqwucJ4JoMy9Wtag1e9g+kLXRnIJWyUa+d1rctLrj8Spx+znk4+g2H\nYO/dX4qtV96AXb9xVoZ1tQyyE9E3FK7DRbkGgVjPX8KxJ1yXoYgrYQ1dNtTKxh2CdHbLu9nQD08a\n0QKobEEnazABi/05Ti8sq8YpuTK8fAYZxXu/67qHdDW1oXPEhW2VoXFoP/UDDOs6w16G5eF8oz1E\nvWRchrb1iFgsm5wqiJvPpctFjYvO+DJxxnXU6+L1HY8y9OVf1UxARcLKYQG68XRZ2NFddtll2Hzz\nzbHDDjuY8c457Lvvvthuu+1w7LHH4tBDD+3VN93A7rtBaqvasHir0DVkpN8GloAG6ZB59MF3qBPQ\nXy5hBXuPh371MD512pdx3wMP4n+e/B5stflm2Pr6G7DrmSWsrTpH8JV5DIO6gKsF72ob1PWYw/RW\nJ0HpzsOBGdapVVX90znOrW44TzfbIFO5+WprMe3pHg8oMKZ0EtwFdKBgHeeOQ57yDV2UhkCjAVt8\nxEPpsABu74ljRX6WTC67yAdluRng3Fa5wUFtQO0o2i/Wt9IOVUC7onzOIb0wpTuWK8TThz68vB4m\npeMkYsRx4bfi5pH1wnB+4QH7gAMOwD333FOEf+hDH8IhhxwCADj11FNx1FFHVXVcccUV2HLLLXHb\nbbfhkEMOwe67744tttiiKj/VwK46DesYHOKSvyd9IUOwhuG1M4tJCa4E64p4itc/uN5OBO3btsWV\nN6zG57/6Dbxqj93xvrcfjSUzMxnW7zouD4MLfdk6hZWf6HTkQnPT5HiCfoIpd27KfFh/TU9uD9Jj\n3YIojxQarWpqz77V8OY+aGM2O5ejs0Uj6S0NQgJviIwwibCWppkEPOfAxHI6MvcGkkekYSfIV0aX\nYfX54GIM2ckoGe2KuuYhCB765nrWFrkhL3BrMlQFtDlbJ4shi2vUrlJh7if4opWsBJiIlh58xcnj\nvk1/frNROhBkannwfsG4tTGHfdNN3VZxy5cv700+NzeHr3/967jhhhuqMltuuSUAYOedd8ahhx6K\ns846C8cdd1xVfqqBPdHYv2U1s79qzWYaS0BqvREc+aZeWN/pUOdVl+cyTwLrKPPgL3+Fz57xVfz0\n5/+BDxx/LHbYZmsAELB+KDxn3Vt/M76ErU7/jQsvwuv33VsATlvYnZK+fFR+A5Z6Sk9hXuvS596A\ndVdcff7lNAY7B59eM5ktvHy9Ob4zuxwi4MpQMeITyImkjkGufAxES59Iw5akjjWs6xQmpF2uuwCv\n04URW5GviCtXi3de7szkMok9ezWkU71YVs5hs37rxSlGwyfnRZy8FuDyvcO6aw2D2FfjNKCteKfC\nrHLwMV9j/8e6F7yg26I79dR5JV+xYgV23nlnbLXVVmb8I488gvF4jA022AD33nsvzj//fLz//e/v\n1bkI7AFwyXxoPnoiwIXc0g9VQ4D9Evy14XVzlbnvFqBcdt31+LevfxOvevnuOPHoo7Bkpju9wrIm\nWKNS5xKQUaaEmC77mRddikNftRfkULWCqAnnSv6io+BLvTU9FrwF3HUb8O011zMds6y+1SmLqbCx\n2GoVMC6HmovwLkBCXafRFidkWAZkgLoI75+XtmW7iohHt7RM8dpQayjcqeFoo3NAuhNIYxtlUeGP\nQtYIRl87inZLZ68T0ulzQ4ZTH8IFYF26FMXq7rifaPNxcVlceIa8EA05v/QyFK8hn7uNDOshN5+F\nUE+Km7JV4gBw+umn48gjjxRhd999N4477jicc845uOeee3DYYYcBAJ7xjGfgz//8z7H11lv36lyQ\nwP7JT36CY445Br/4xS+w6aab4vjjj++dBygcQ1qHzcvKzn4N/vlAX3YADOhXoC3ChX6Ci/f4xQMP\n4jOnnYEHHnoIf3XCn2D7bbZOUNp65aqwwOw4PLTF5kjWJTi/WBaVbwHLDMG++j5+WNc7CSasi85D\nvVzW6nmxMr7oECnLWpx/sas7p7wK1gygJKfAlGADBRllE4tOggBfjMuwzlar6loIeGVkpbyVniJ9\n0tHj15TNSMz5x3JG8IL1CJpSw6ZEsmwpT1UDyot1aOCLPIoT2uPnvbpeeN+7xes0bZ6A3P1rffRB\nxTmVny/yhdK/oN0UAvvzn/98EbbVVlvhnHPOAQBsv/32WL169bx0LkhgL1myBB/5yEew66674r77\n7sPuu++OQw45BBtssEF/QgakEW6G6X0l3RCsBZD79NBdn6Fp7bk2FqzH4zHOu/RyfOW8C/DaffbC\nofvug5nRKMP6+huw65ln4+J3/Ql+GWBdQrICKQPSdr1zsVWldUAZq9quZsDKMC/8+maU70p9sKYO\ngbLquQODQrd1joNPsks4V9zEM4jisSMwuCKh8CZdLtPGLIKAllkwDaUi2lZck3QaaBa9VHZW/qQu\ns9IJaBfWOgE/dVTYCkcOk21PbTFUTSPNJM66K/mKPx5rC5ehmoEuAZ8e60J+vCv2FxpYHYApclMI\n7N+FW5DA3mKLLdJKuWXLluF5z3serr/+erzqVa8SciUspStvtDJNP7yMOFOuPjyce9YSxgxqc5jZ\nyieVpftz109/hk996XQsXbIEf3vye7HV5pvBE4AErNMnMksgzcvihW0h63azreohq93IxwjLbVy3\nrEUZTcvaiEunRJ03avNUP0zunADCMKidgpOwsDkupiFwgfzVFeVq6FqnkdCTw9k5v1KP3HixWLmB\n04aaCxAj11kOUVPjyYZVkJfTCxB55/MAkuVyMdj1ll87ajsPTy80YYDmOP48ZhrW9vn6tsAq4OzV\nMfI9JV/foTwecL6zuIGyI2DVILXboltwbkECm92dd96JW265BbvvvnsRV3sOO8Xri7PHOvY1Gb6B\nD1iiDFuGq8yLQTAE59K6e+Sxx3DGt87HJddej6MOeQ32efnL0DgngLSNsqzF0K9VH5Ef18mqp11m\nCew2MFVDfx56ei1kHU/6rfar6TDzS2c4nS8Ja76m+m9+0uAkWBOsYlwBWTEsa8B8AoDC8Hfl6oe1\nNa9szXGz/kJP8Rx3Zb5dlNGKjw0mYUzi5I8VpPZPZedOkGwDqx65weuuuxZcuA7ixzU6qIv5ZTCc\nw1B22CKo87y1N+ey07C3tRG8YezLcstOAWry8+mZ/q7dooUNYIED++GHH8Zb3vIWfOQjH8H6668/\neUIvb6umhczROt0ArDlxoceXB/N9rKv84XQ/6qtX34gvfO1MPO/ZO+Af/+ovsOEGGxSQ3eb6VRLW\nVqdCQ5jLaIDQtr5tyB6y9yuk3lhrBqG6o+SmrXdYvDpvMt5oS90JiTq4vVSHgssN65zJHABkg688\nkFaKExAp4ZmtPwVr8DyrzCKDBQR3Y6ukEXPQSt5ClVMxls9MbGRT5puHr9mKzlA2KN1YHQfuwKjF\nYqIT1B3rTkFR/uD3KphRrV2Gab4+I1j1im4bzsbCM+hFZ/TFrrj3/MUuhxY+XU9ykRpd2953i+PS\n9S+BvmDcIrABLGBgz87O4k1vehOOPvpovP71rzdlvvjlryT/C3fZGbs+b5dSqAbrHouuk6nD2pNf\n3Og1EEVamVfeDUPw7l/ci8+d8TXc9+CDOPFtR2GXHXcI+XiRf4b1O7sFZknGqJ9pWdaHmYct6y7+\n0L1fkZpK3AFER4fzUe1Ke24r4acRA7s8CroM5wLWZT3prJCTx67whENFVyfCoSw9ZS3HpDodyee4\n8q/25TK6SjjBTaR2SbLoFMjqKviSCWsdJ+hyvZUyDVLDsuctQznrho7n4lEbZnD37LlcDmlI3OrQ\n0JUnjvWmV4yb8eEajeBMoPYEdG+lpWF1+sm5GMbyNSJPSOpLL70Ul112GZ6U4fMpfdPZE+0WJLC9\n93jnO9+J5z//+Xjf+95XlTv68MOKdBIMKYYuTvJXIW3J083fgLMJ6UI/+Q2Q63SPPfYYvnr+Clx4\n5VV4/f774uC9X5kWlWnZba+/Abt+8xxcdMI7aYGZ0ZmgMkhIEngtCA4C34oP7dJj1cb4sh1k2U3A\npvjHW4YeWItriA567k1VeCpYxzAxJIsSQAwV+5GsbHkODYWnTkERPjRUXQKT9aR4PQQ+dCx0O/Xo\nV6y4lBMjADGe2jLz2okwbWk758xXr8q6s0KXYB11+5SxvEIyXCWAh56V5i1eqzIMKQfukwZxyj37\nPBBeE+7FdflEub322gv77LNPaq+/+7u/e8LzSG4BvulsbbgFCewrrrgCp5xyCl74whdit912AwD8\n/d//PQ466CAh532Ywx7qEYrhHQ0xG8AhWVbOOoaszXmCWgPHty2uuGE1TjnzLOy8w/b4fz7w59hk\nww3tNPDYZuXqDOstN1dWa61uDG0to2Ft16F3zjhm5TVka7I2yGWnQ40AqHr1l8uAta471TE1jnaV\ne5+DDBdg5j0IGiAGCVgzbHpgncLrc9mFH1a4NaSc69CJR0vVyot4quFpHEtLWC4001a0Ntbl8+q5\nTrl3Y7WZhLDoFKR6COIX7ZZOPx8bsM6Apmelw3WW/XLhmbCmtRWctlp4/JkpwIcSeTjun8erXMhV\nLe1Ft+DcggT2K17xCrQDC8oAwLeTXGkEnOJY36zTH8OqjslZdsKL3RKqwP2WO76HU848G+Nxi5OO\neSt22mH7EvbUedhm5WrsdubZybLOoIs6+4afYysYUCeYRVhyGVKVRNvKelEz2Xstq4WEXvKQ34s9\nZ0CwLjoMGt6qznbGGawewdqicP7LQAGBLcT1vcCkEyHwIMuC9YB1IMOGLdUgwIDiMlkdAM4HSiaN\nChTOiV3RENxbQVJVD+AyQpadoW1ax41DE8Po9aQa3Ganw6gv97LiOc+Xae69MVD1/PMYeW55DJp3\nDtsYcqHZWKXPc9ie5qg9xdEcdzp2qaMAuLBa3aXOAlIdtKc4WBhucQ4bwAIF9hPifHnrNS1eglUO\nZlArvwB8BaSPw7K+66c/w6nfPAc/vec/cOTrDsaeL961u3GwVarSbHODgrVVhgLgXA+rEyAhbcN+\noN6FJW0AksLrnQpdhtLCtjsTPfkXIJcjD7qjkTjiujAX79F6Hz0FrJEdQUxaeCTCYcLE5eF0tZKZ\nYUPZaTkNa4aweJRLW5csAykvrWhKCx0n8+i3rvUoAI0EmKvPreF9qUN2XDjPXN5K/2LQlfeZuJMd\nSmnp5k2HAei3tr0RpuPpnqHz5vygjhcgqju3CGwATzVgq5utGd4HUwXGTs6Twh4LlNMLi7Ef2Hff\ney9OP/tc3HzHnXjjgfvhL975dszMjGx95N9m5Srs9s1zcNHxx4YFZlE+/pqtIecBWDPcFCwtfVYb\nnnXJ5XjdXnuWgDYga6WvQneS8KJOviyHES7OoTjfyIuMAo8Tn5Nj61LFRgoQAAqARn+MJFhruEDB\npXwkKqfTsEWRP7IlT3G8yTwY0NZQes+cdd8rTHU8fbyjSXEsZ+ku9eghbVFePjd0rgpIu1pE6Wrg\nhTruiyt+lyxXCNEuXbJ0j6F0ToXVys7uSVlINh+3uOgMwJQDO968q/FZUIZVAF2DY8orxnj9Q4EI\ny0k1RDIY7r3/fnzlvOW49sab8Jp99sIJR7wZ6y5d2gvDGL7tDauw2ze/hW8ff2xeYFbrfBQWft+w\nd4y3wTrJ3PU5l1+F177iD0hu/tAfhPVgmVSdig4JjSagDusUZt2x+WYemS2s4HzTSwBECTrLos2L\npqwwqcsCVAFXoNRngt+yVOt6dadhElg7B2PBV93CFp0C3fNh6LokLs5DAe3gKTsnuT55HJ5Ofdh7\nddxdPfIZ7HDVG3PYcZQoD2eLY/j8TnDIYXHWp98lnl7KEm6HvMANiMPkTnQmYhk16FV/YNEtMDfd\nwJ5gnltAuQtQoJVDwZ1Pklj0boverAW8HK/h9sBDv8TXzl+Oy6+/AQe8Yk/801//V/ze+k/rBSNb\ngtusWh1g/Q48tPlmAXaTQHi4bFWLugJS3VbDFvtkZYHhZ1inPGpylbKIE5/26tZkmFmCCwRQDQKG\nYVVWgLcEYwaPgmPSZ8zrVgBqyfbCGpPD2sp/IghXYQ0FaLaGY6PktiRxKWecq05nbkMGdAY1nS+1\nTyMrBGu+ajxDGxnWPlyH/AhW9Vlra/M0fw2ewwbMOWwomHvAofv8RwK+9+bjYAx4gH4/C8UtDokD\nmHJg150v7sMFbJVfg7n0e1JjwaAHFgDuf/BBfP2CC3HZ9Sux7x4vx0f/+wfw9A1+L4NHgaXbSf3b\nrFqNFydYb16UYdBank+ZWW7AIi7ga3YcrE7FJMPinF7CW7cxOxdL49C9mjEGhH28+cbbmUolddGN\nWgA3RFow7qIYwEgAldYugQkK1ilE7VJ+XFs+Vg3hoCSpvENy0GE6VyXNCWVmvDOU6+FqSJhSp0fD\nVjZgBHM+ETlKFqAAPXQBbOcr/u5YjNfke0xPulKHAcxKAt3/lOVwVZkFB+Qht/hYF4ApB7b3vnKL\nTRJpVwP1oGXcHSBHTQ48ALj3wQdx5vJv47LrV+JVe+yOj/y3D2Cjp2+QhsImBei2N6zGi8/6Fi48\n/h345eabF+Wvw3EAtgPxQ0PsJbRjttTx0B2H+eQpwsqOTHn+KF6c7845IMMb3b1aXj9dpFNBCcbx\nOHhsq5Xi0ANrED8cA0nnQ2BhkCsrUBwLHDs73OWyUS6k29X1m8cV8HGGVJ5i+FlUPLadaABRRJmH\nHOYW6Y12caRPtAfIOToqrhMJwgRqjzQsHq/DtHnIY9bh8/B4Hr3izcu957TdvkVL96k+N2WwBoDx\naG2XYEG4qQd2eemVPdNsXXZ/JCSSEMnpYV+Wz/r7oHbPfffjG8svxNWrb8S+e+yOD//Vf8FGT+9e\nJdo9sqY7DBlKuszbrAqwPu4deGizzQB6/tweap4Mtgw2qmkPJMu8uKwxXRveJV6UhUFb6Ckhnsoc\nb3zcPj11sc55qqW6o3H7A0B408RkTvNIRySvhHWKImCJYWwCPHcIACnDoK8vtrLmc+tz6PV5bCvM\nmD8XQ972HLZrjHSpTrwnGANlfAzToI1dmphH7uLkDorTflfGiUSdyx//UMPgAdT5FaLhcS7IR7HG\nnoaywzb25WNd6dEuX3s1aTl87uHEI16ersQ2lVp3NOodkUW38NyUA3tgDlvcrNVxATMJ7Lyrg9qC\ny4/u/jnOXP5trL7tNhwY5qg3WH/93HtOQKF8ekC47Q034iVnfwsrjnsHfrn5Zj3lt2Brl9GMN0FI\nYC06GDa0D95zdxu+Atwx/XBZe+fPOYw7PgrMnMZ00qxCGiJXsI1hTocX1rWChQFd/VgUgzsl6YO1\ngLoNwKyfIdQ/7y3Lg0JW5l/m6UBQpXqIclFLS3mX2iynjW0bGzbXARQn8+AOALWhs+qu2w9UaHmN\nRFhbwPPguWmedyZoe+M5677NG/PTBG2P8jls7+U7w7133ZSQd2JBG9fB2uuO7dp2zSTrlX7Hbu2X\nYOqBzVZUVSrI0rGnW3kCEuRNvgJrFKDr4m+58/s468KLceePfozX7P1KvOPwN2L99dY10guMCAtP\n5AmPbVd1sL7wOBoGF/WeZA54gnln6kBULXYNa12HkP41f7iHhKPpt+edfc9RIasBzLBWzgHys4ie\n41wX4HQKaWUlMMTjAsA6niGbwe20X1t4yPHCOmRYUskZnuajTXAyvggvIaYByFZn5q2YAS8bPPlL\nqVh+C4xWx0A+6gX7MTCue3p5SvA3XZpuT/FNqFcDVc/c/l6ULxc0ATH5AywdH3sJ7fCb8hHeaSut\nbrHYDCBQ94fxS1jir9PBiU6Ap/RwCwnLdefG47VdhAXhphrY9StNQzoGS8xoCGWR0s9WZITgmjVr\ncPnKVTj34kvx2Jo1eO3ee+H9bz8aS5bkZhUrmaO2QXiSZf0n2bK2LFrb6sz18jUZ2SQkQ+UhgNsg\nt9vRBv1kQ/ZlXSrWdrU96JzFtgXEsSaNcT/uDhN92VKTwM1WLhJkOC1bzAK4hlXcBUuoFvmwHgUZ\n4kyoTiUPEV7RQ8qETKqr0ivMad7bcfn5adl29TDDijZhTXH8jDang6pvbBWqF9fd0zH71VUlj2nk\nx1O8N/7F9FKutgXoG/KyLD71Ur0Znwqa6rKQwb0I7M5NN7CFY7AacZ4vZHmDN4d5oYGdgXb/Qw/i\ngsuvxIorrsJ2z3wmjnjdwXjRTs9NVlUBHvYri9MC1barVuMlZ5+LFe98e/foVks//ZTcBqYFcjP/\nQjakH4Cl1DsA8QTWEtb95eMOQ4zr70SU7UPnDhA3WAnoLJMAnfyQsGaAohya1pY1L5gqQKvTE6QZ\nphL6GrQasjFjA/ypjgRigXYUwJLgrg+1c1wBUOEv93AQn8lEgm0Ia0hHQ/FRT+WZ76INUgWpQ8DX\ngbwoDH/daWj6mNTbcjqsgH1PHkmxvI2QLhd+r7WyO5XBZHVcdAvDTTWwq3PY4nq2ANUHaQWU6Pce\nN9/xPZx/2ZW46Y478MqXvgQfPOk92GqzTSXUataj8OcCamvzWatuxIvPORcrjv1jPLT5Zl0dRTn7\nyqzrNQRpFOWtLTQrFsTVwsS+x9rWZWCLxA+Xq2wDOtfCdWF8W9JvL5PxXhwJH0OfbvAC6CmuAuuY\nJoGxBH8JcZXegFLvc9Iw8tHhjdZTgnWyZ7IHYG3C2yqHjM99AzphBltTunSeZDumTgbFOZE4nxfJ\nMnmFeIBekpK3NI/ty+FqDztMh4swT89we47vnrDuflYu/iQkyAG4VEgHa6ig+9m44pfjnG7gtesW\nwhz2QnBTDmyrC2vMYlqWLvsNqy+6//z1I7j0uutx/uVXonEOB75iT7z7yDdj3XXXTZAeXrHMOgm8\nSm7b1TfixeechxXHHhNeitL2g9ko86AFa3QWLKtZA9fSl2FrgDrKTDS8PVBusy6yA5PqZAA6GB2d\nN1o+LifV9yWn71N073b814BGBgXJE0CytUeW3hBcUzoCJVn7k6zejp0EKVemMfU1ZUdieIU4qnPN\nelSgmp7kuX3KxW0uhadGp/IFSdVeqjyNgnW4NOJx5F3aEKFKLyVxfQvI6ovN5IpwYBw2AX0f8vIe\nbVhA1sk7eO/izwSxP9uFecA3Eti+QaqopwtVvMLNlffWtewWh8Q7N93ANnpd4jJTF505HE1yDJPv\n/ejHWH75lbj2xpvwwp2ei+Pe/Cbs/Ozti5Gu3suawBwDJKwz5J616jt4ybfOw4p3HJMtay5zAeac\nweNeEW7JkOVqLjbjThF3AsL+vKuuw0F7vFS0vdftW2s73WHidCQjmpTr0n82MogTGIm3BEaWzSuX\nkaEJCRNrGDxbdRkUEZoMjgQvLocCh4B8kuuHtQ4TeaIuJ+d9bcD2QjvpqAxb1zoERjzvm17ZvvQO\nTaPLpIbPm1xHNkAdnJyzjmwDQdvxW80ixOPCr/LrWmPvA4yjn8LhS6gzuAOgu1eaOnjfoJvTbpLh\nkLfcq/ChQt6PQniEdiMrRr3P1PlZIG4R2J2bbmAP9QIZylaYAsmvH3kUl628AcsvvxKP/eY32H/P\nPfDRv/4ANtxgA5m2sFYrc7gDsiWsj8aD8XWjE8MXSjZ3s830loVtlKnUa5VBygLA+ddcj1e//CVK\nf9nWIsw4j/ocyXNJyPdFCumc2GV/gvCEoGbwxhs9SmhlHfaQtpWGOwMazAmSsOQyYBxtwiI1Yc2y\nathZgMsV5WL5nLcCJZzQZXUARL6g7CrQBfnLjkEfwGVa3VlK56UAs1PH4SpjaBtbG34R4thrOV8M\nfYs478VQOHcGus2FV48GcFP6rrdBv4tkOTOcHVXEdSvho8Udk5n31rUH8cUh8c5NNbBrzrzYaoDz\n3SNZ377yGlx/88144XOfi6Nf/zo8/zk7phucT0PTmAjAKTwECxmRP7DtagVreNStag0vlbeQU52I\nGCb0qXLrtunLu8fSL4a/qa2teHnOap2fkMZqR1AYHYnbSw3EDGoN5ijP8enYBqEEc5dJn24BTlNH\nLq8ErEvVcgnmCrCi6rKMxb1XhSlOcROmo+rte+C+7tjDnQPOWEC4bO/+R7tQzIUXoI5Zu6JUKa7S\nBTRdBmbZh/S1eBUWfhaF3rT3ukxOBbr8O45xKZzTxP3aA/Cie3xuqoE9bwubIPHzX9yLS69bicuu\nX4klMzN41R6745g3HoIN1l8/y1aGkkXeE1jdOVrC/Fmrb8JLv3Uelr/j6DAMHmW0TvIPwLyEdVme\n+esbluO27p2vHtJrdXwY0r23vexc+mNBGRVYG+FRD0Elw5uVQ4BWQ0ha6EhWqLA2QX4Neyct7Axx\nGl4GwVvEQepEmVe+fRNAOZ1TZSugSlY/6eZ25Yw4TwarU+UWZdTQru71NEFsfzkCwHXl/Ih/4oKy\nrkAGsYxjS1ta2SJt/El4qSOmB0Hci4QxiSsKE8N9vBbiuD5Z1WnPXOfqco9vAbjFIfHOPXWBzbAL\nxw/+6le4YuUqXHbdStz34EPY88W74qRj3oodtn5m6FJLSOs85mP5SuiU/u1W34SXfut8XPCOo/HQ\nZpsCLQ1n16A6QV5ySNyAX1+5rXpZlrKhQ5Sxbe3082gvXQOCPcoAACAASURBVNYYJvZO3lOF4zgF\nw+BNkBPxlCZGOBWksinLEQER84lhid/23G8GmT3MLsBsWI01XYUcrDRIFiqchqAtX8rVLF4n4sx8\nhWwOa5K+Lr77RnZlWJwf93Jh7jrJyZepcPkZ2D60jVqDlfw+7cuh77xCXM9hA+LrWryBN6SvbMWN\n564j9MWcedriSnFPkd2CtPxy8wbdIjQHsfjM2IZsoSfbLQK7c08dYAsrLAc9/Otf49rV38EVK1fh\nrp/8FC95wfNwxGsPxvN33AHNaJTBQ3MkQ/PEnW6CYOoKMzizbJbp/M9afRNeeu4FuODtb8ODmy1L\nv7ohEM7X8u4tYzpkGQZ1jFPWejUvVRajHNUXntC5KyGt4gbe9e2UJwILQLopJ4gFOTn3HPdkdTFA\nIeFVhml5BmaOs4EHAnKOB7KMZW1PAlRAh0l/dUFYD6ALC7v6CFcN1py/Hc7tweeShgmQG0yWKVaa\ndcGoix5R8KSu+P61y5DOXFSfwIRacOY9qm8qE5t+wxl9CjPCmleEJ3+c9qLfrqfCeyhQj3ID+jCH\noCbnF5qFvTiH3bnpBnblJP760Udx/XduxhU3rMZ37/oBXrTTc3DAH/4BdttlZyxduqSAdA3QgLT6\n6ou0ojwNY2kQhbTb3XgzXnbuBTj/7W/FQ5stm2yY2AB0aZ1q+RoY7XoIKJNfw7rf0vbY/yW7Ij47\nXhueL+bLuV65pkb3q3Qu/lX3F0c32HxfHwI1g61ffn7QhgRHD7RrQC7hL/2mLlhxtfxL6PZDW7ZB\nAdyeZ7EfD7T16IMDgzy3f2y3fJ6sMsuRAFaSRolJR2RfBrVPYWwVV98hjgxuXhluWdcZ3Lw6PHzU\nIwHaSZCHwmlo54JHIEdgdyvME6wLC5vvEYtuIbmpBnZLwP7PRx7ByptvwdWrv4Pb7rwLu+y4A17x\nkt1w8jFHYb111023e9OSZgvYgqOSReHlNBzRB2t+4UpMYw0/G6CtDiXXrH0dPyRbgWwvrLvj/V+6\nK7we3jfKlrFN7UltCRQMNgOdFSZgraAbBDIQO4+jG3Q8ECCfELyTyBcgjjJCnuFfA3c/PBlyJuhZ\nzwSPc000LD70ta6mrrvQkfasHz16dVrdGSnl8lvW8gVSWNXxmnT5SMNbvhil9sGO+vPXY2GFx69u\nOfpSlxN688tSXCiDSwDn249LQI8VayCfxaYKW8MJ9q/wSXeLQ+Kdm2pg//Lhh7Hy5ltxzY034fa7\nfoDnP+fZ2HO3XfHetx2Jp627bpJrLdhC9SJroBZpJPBYZ22RVIb1TXjZuctx/h8f1cGagRjlTEs7\nDnfF8vUAXIB8CK41oMvysA6rjNpKroF8Uqu66pzYifuIc1LOkXABagVmx2lYnhJOBF5oyFaG0bUu\nC7DcYTBgHsvLOqqwTuWzreQCuJzGiOtPW7OaJ4G1BVwJcvGaUquDYIG+Bu4gF8vC1nUCs7jYuGue\n4Zz31lC4nr+WL0cRVrS1+Q7M6VExMRwejkW4hDYirGMdArCTde3TiaQf1MIAtHaLwO7cVAP75L/7\nX3jBc3bEK1/6Ypx0zFFYb911Spgl5yUfEqyyP0gJQAuZTnHqvQ5BOspud+NNeNl5K3BegHVnwVZg\na4CyACDXhazwmpVchbOhe+jRLEu2LE+Urc9Xc3uJc2I4l++X+abqYd5bbFjPD6QpT7ZMOZ6AyTf8\nQX3cQdCAjmniX5ZPaZKX7rM2LBmsw9Z2CX8J5rw5KlDR/DqA6edqYjm/ghlmJ2Kog1CCPoHbeO1p\nzMOHMB+K0l1eXkA7d4e7N4ERF3tfPyqsbfhqfPzSlrC2fXxZSgXmEdRcGPE6Nhf770gvTdGvKQUf\nx3Pb9JzYJ98tzmF3bqqB/b//x193c9LRKSCX0zBDkI4gImURNIW/z5rM4dt952bsft5ynHfMUXhw\n02UpfDIYatBZkAwyCpD6LWV6SFvXc5IFZZPUN5XVTKeHxak9hfMCVN4HuMTiVm7+SWYA1hY8BUiR\nQSUtb4aG0h3hwHI9Onth71QdCh0laC2w9sEaIhzpT4pKuqheojMBVQaucBSiMrET5aNoKqduy34w\nK0AXclmfsNhVJyBdb4jQjiXzqYA8f50u9XDsvX4JSgn0CG4Pmr/2cvFZko/6CN5sSfOctrWHd90a\nTWFlN+heohIsbQ3r6kdDFt1CcM2wyMJ1AtbReV4spcOR4REg5333K0mv9Gtp33q0vk1+n/xtKeu7\n8JaOnxVhffSReHDTZZRHlGvTsfcerThuc54+7slP5WlDeBvi2pB/W8jrTebv27ZrJ1UuqH23qCzr\nMf3IfhGPHB9lxJa7U/oEAvCZAww2cbM2btTB3xirlhseRrWGUtk6S99VLuOSbjVPGvXHbzE3lC7F\nUbqoJ8o1NKQb/enxpALK2spGBn+tc0Edkro+UP0tMDopw8dFvJ2+iY9sOdJhPIpVnBeRL0o5q4Mi\n2iW0Ae0mNSitrqa8WvM9pwB4uNzj8HkGu15wxrB2wdqO7w+P0G2y34/QzVOPOjj7EXw6HiX5rpLs\nxwCs1y7I3Xi81rf5uNtvvx1vfetbscsuu+CII47Ao48+aspdeuml2HnnnbHjjjviYx/72KDeqQZ2\nCSA5rAwVp4/rW2uHFWBvJdQpfLvv3IyXn7cc5x59JB7YdNMAU4KhH9pXOhEmyHX5WtGJqMFZxk+2\ngcoDKmts7xUrbxRtL29TgLCe4bMFRp38ZKDpGyzddNnyNOFtfBcZ6UbPUFNDpcWnGwniQTc04HWe\nWqer6KTyNYWe/P7splYmLg+FaesXaU9+ZL9MZ8HfBVkFXl4AZsA51ik/O62tYaXHKZ1VGFc6BWoO\nG2JhGlI95LUkrx8Bbdp4bVZyjq5uAWYv/V7JmBD3+baldfouM0+/Hk/D2j6CN0Dbp+etpR9iSLyR\nPQ41JF5OKa5dt7ZhPV9gf/CDH8Qb3vAG3Hrrrdh1113x2c9+1pQ7+eST8alPfQorVqzAJz7xCdx3\n3329eqcb2G1rb54sTA5LfmOvrNYcluNaCmstHWG/3XduxsvPX4Fvve0IPLDsGTmOLelgqbfRYq/s\nW7NjUEmX8iE/5Sfy1ZZ92NhftmsrRwG4nUKn4Nurbgo3HwlpsScQF1sCKtSNmmDLlpq2ZhnIAirK\nQkx6OnkEnYjfXeabfuMI9q6EhAlqXcbSUi7AFfyNOtbxGZiGHgVEq9xQ7YFY36pOA7SVcjeuOw/R\nWo7npIuDyFeCWsPaOH/OGN3QnSfaN0JOXxvq/Ks6SWC7xLLIyXJuOlvHY/Dz2LToLO3zsLcNfO3i\ni0y45xB7EgTkBGe2suMWw52St3oqUGFr3zVtu9a3+biLL74YhxxyCADg0EMPxRVXXFHI/PKXvwQA\n7LXXXth2221x4IEH4pprrulvh3mVYoG50ipuJWhbHWdbqBleEUiWFTpgoYb99t+5GXtccCHOOeqP\nAqyVlVu1cFV5KsPf2tJvzXAaFm9LPQn2Xg7DC4hb5TEAHS3pPOQNGtqOtgMAZ1jTtDG02VJOVqAe\nzhYgl1ZU4+Rx9MsvPjkKU9ZgYFi66TvQcHqOS34T1CwXoKUtZR7y1XDRIFL15LrkjkrQ2XD5FHB1\nnqxLyGWgCZg3bJlm+W6E1YURVjqOwIt6dD4MWQ1rXe+iA2S0l9Cr2rbofBjXVHH90Q3H6bEiLyCb\n56fjsHdePKZ/Ea3n37BKy3PZlD5/DCQMicNRWcJbzUIhY3ymfw3ECwvMTxV3wAEH4Atf+AJ+85vf\n4Itf/CKuvPLKQua6667DTjvtlI532WUXXH311b16p3rRWfwEpQyMO6/CfNyRP8yXEmhEOPlTnCUX\n9tvfdAv2WHERzjnyzXhg02VAfDGL0OnpFx91+hDtw3+fy6n2tfKmPZepFi7ytOpd5m+1oWxyOvYB\nzoatEJ2Lf9W9wtF9xaW9k8dBKMqK4wH5PBTaBThQmKU/yKQ0cHRjd6IMOX8dl9PVy+Nk/kqPqKsR\nZw/xclqZv6x/hl1O4yp6c/uJOmvY9x2rcHso3vJboO+Bfq+unGdsz/SyFH3lhgAb1PkxrmgltwrC\n8nWk1qNcOs7neeswPN0GOMe3qSWr3FP/OJVJQbh8sFy6hTX6bbqF+FjXAQccgHvuuacI/9CHPoQP\nfvCD+Id/+Afsscce2G+//bDeeus9IXlON7Bb60pjsEqPDb0KoFhGyGfIctodbr4Veyy/CGcfdXhY\nYNZWdKq0rFNBtcxzQLYH0FWdA5AWHQxVF+m89PMhc9mJYHksYK0gGgRMCMZjC+Qm+OrQFfIxbwt4\nIH8V1Ax+qpPTcQqGRVl66lKDttItygoFbQ01YUXXZS2ZDE3bijbz01APIG54xKGRIxvmfLbSw1Y+\nl7nY+GJ00mqOl3JcBZ5Xg/sEUA+vhr4VhMEvSum+ex0BPlYycVhdLzpLVneAeFp8hm4Ou4vPj2z5\ntEI81C9VIjUM8gtUYgNUgL4A3NoA9m9+dj3W3H19NX758uW96T/+8Y8DAM4991ysWbOmiH/Zy16G\nv/zLv0zHt9xyCw466KBendMNbDFPGsMKKQrvh7QEIctrSLOcxw633Io9ll+Ms488HA8uk7DO5aR8\nWefEQC1lBy3suK/kleteL48GOLWU4XK5mNAM68KvIY0KuE2oVuKFfpcMqT54VTsFDGeWpTgT/Cnc\nLmOhW5eNwlHJQ9elClXV2RAWcqwzz8Ob+iaE9pB13UyS1oK1M2Dt6nk1ZTl583Tp5Rd9SVh7eLQu\nz0dnaxrZkka2ek0/GMwS0GNoSPvuhSqQsE7PYXtkUPsGaWhcgLoJFncjrO/4+tIS3OznHyQqx2vH\nrY3nsNfb8sVYb8sXp+Nfr/z0xGnvvfdebLrppvjZz36Gf/mXf8G73vWuQmbDDTcE0K0U32abbbB8\n+XL8zd/8Ta/eqQZ2a55EXxzK4fEKmPtgSn49jP3sW27FH6y4BGcf+SY8sOwZQPp2tgF3Db1ei7bW\nkZgA+H1D4VXLekJIc0dGOwfs86JdZFD8WAeDKxx38T2Q1scmEGV6FxKZsKzBC9IfKWxBs9BvgX8S\ncCfYS4DmfLg8shMh0iSdQ1Z3Lrc9rF0fsi7rauivWNS9Q+IOtOALAdSlBT0RrOO1QNdE3NeeVvLK\nHzfzlaLeJws5gTeGG34GdAZz1j0mPWPfvTQlysW3oI2DfwxgDIcWTQB2g9Y38H7U7dsmgdu3Hbx9\nC7hQcd92jZB+uuJrXaNu49eX0lx4tW/+JLuFOCTe50499VR84hOfgPceb3/72/Ha174WAHD33Xfj\nuOOOwznnnAMA+OhHP4oTTjgBs7OzOOmkk7Bs2bJevc4vtPX7EzrnHD73t/9XGcHD2MJTWs6Pe+46\ngGyHW27DnhdegrOPOAz3L1uWwvvBzP56R8GGdE+nohfU9WFuLp9uH1F3SgMOA0Qn3CXK1CHahf32\noE5wFYC20jJ0DHBWwCg6AyGdgD3HWeAeLItlMdfLUxsWL61VFW/VV3UOIgQLq9cAvM5r0NLug7kq\nU36ePe7VM+6Gfji7/CA5UHwGOwKXXOJTXvEdwYoE3bkA2LmKfwyPOd/Jz4U0s8E/5z1m0wasCf41\nFDbbAnMemPVh37qwbzDburRfM26wpm0wOzfThY1HmB07zI5HaMcO47EDxg6udWjGwGgMLGmBpWNg\nvRZ4mgfWR4P1vcOGzQgbNDPYcMkSbLhkKZ6+dB1ssM66+L111sH666yDp62zLtZdZynWXboOli5Z\ngiVLZjAzmsFoNMJoNELTNIijIkuXLsXvAifOOfz+O/tXTz8Z7mf/+vLfSf3m46bbwq70ugRwRYSE\nb7fzRjxZxybcgGffchv2/PYlOOuPDsP9z+gs65qFnLPTsJVyFlSHhtAl5Dltj+Wu2kfOU1M5HcLX\nLEMaZamk4ecUQCI1CBZwVeAG3WCTngrwKoAXece4ArIEN6NMGtxZjxHXVzaGuE4DlT7lwzple0wC\nzwLYJBfLMJmVXYZZ5a1a0QZgax0CE/DForIyHxhD7HCADzJsMOZLzMOrI2ld8yNaGdpzHphDBjL7\nO6AjQTwCfo7Szfq4eYoL8WkfNxd0N52VnbYwf90Ga7uNFndnYbc0JA7xylIvhxHQhPtCsLSLx7ug\n/GvXTZuF/bty0w3svnkNBewCUhULWsTp+AC2Z9/6Xex50aX45pvfiPuXbRJWg88D0EZeffPStfh6\negP6tbLJFiqdEzt14zNkFIAFyDg9QbA71OkUjDXwrHDoOMrbAN58QR3DJawoXQFqW7/Ii2GIEpSx\nLVi/TmfD29BfSW+nq4Na52VCuG9+mYHbA3jzOWolq9tRWM6xTUGcSq6DtvfIC8oAtK77Hcd3e7OF\nnYaxgRzufb8/6vHyc5pxuFvPXfNHQcZi78QcdvclrzhnTZ/LTMPa4cUo8Wtevkn3ju7nz41kwXph\nucV3iXduqoFd+x52itdWds/Qdy/AyQLd8bbb8YcXX4ZvHP4GPPCMjYFxXC+KQTj2rjovhrFVnFXW\n1EmoychheDFSoJwrPARBtmRJxpnyGqCTAbrPYq4CMupxXJY+6FJ8DdK96Z0MVzonkY/HfdBLftYT\nWUQdDstK1rJlp2BCUFeHrfm8KJmBoe8auHXnQM9XN6QH2sKmds/cYT/K9VWIAM/3AX7WufjqFvIH\nORjIaeGYl/PYrfYHIPPWhiH0cdIR8oDL+YEXmyG9Ozy9mhRN97iXz1/gkvCGsrAbdCOB9KPTc9aD\n8K6F/27dooXduekGdlqNXYmPfxlUGnBsGXslo4C342134BWXXI6vv+lQPLDJxuHd20kzwTLnbs6B\nTwDm/s6Ez9UqOhUUx3WiIhWNFn6r9k/Rso7DIR30gbeLl3JpOJ3BqXUraNUg3afLhHIN4pXyTzyc\nbZbvtwN17lxIOLO+AqgqD7Osuj4KplqfBVYL2rYlXOsUWPBVkDaGx0HhsXE1tD3FAfSzh4Z29xNq\nXQa3NRyevqbl+Uta2eKWC9PyojN+nEtY2FGPlx2D7tjRl7q4XMiPcvH7xOGQX0PqlKXtciXh0b31\njO4A/KOjO4Dju8HiB0EWjJtuYPc9h+1lWAkx9mfY1SziHW+7A6+85Ap8/bBDcP8mGyO95asTlPKT\nWPJKbr56Cus5RRkdBfELVe2Sfosu+dNvmKEl9hK+DJTl192EA3d/QQltAdEMn06PBm5FxoCgCekU\n9/jB7Sghx9WAF8tsARYcLoBbAr/WKTChHfk0AVBhykn/oOU7kIe9uGwCi92Ssd5SZsyDpxMR/dRm\n+XEtFAuf9daG+0DxulFlLddWiqc4ZX0ncAtL2ciDwscMbRC4Cdb5AyD8IRAH70fo3ngWoQ3Ecf/u\nFsCjkkEu+bOrPrrZYyD9Lt2ihd256Qa2ftOZ4JJX4WxlDs0Ds7zHc797B1556VX42htfh/ufsXEa\nih8cujby0PKpNLrDUC2zqptITxV26icof4850FF08kvYCniJZArKAFasvBmvfvkLSyACCpga0gMW\ndpHejrc6F6Ie4ljLM2R1vAW+4Df09VnZApiQ4LIhP5CHBc+KXBkm0/Q+J81t6IZ01GFdHUIXaZGA\nzyvHrbwZ2D5eQ6HBxegv7fmxZH4JSg3WwopWlvSYYQ2GLoEbnrY8X81z3a3eEthd3sL8dffylPyV\nLh4Wz7DutvS+Ch8tbL4XOaTGQ07jOGwBuMU57M5NNbD7F52lPwXo5vOSkud89w688rKr8dU3vhb3\nbbJRt8CsYhH3vpmMLftJh7F1HUxLudLldeWBK8IznKJAAS9KU8w7Jz/JohvOrINXQtGELuVRwEv4\nlTwDMuos4KePOf2AxR1hAfJXIGimRc7TrI8r62bXW4JSplUdAFUuPZzeD1w7Dw1tZ+TfKGu5Jm/O\na9feHW4M2Sc4p+up2xK4QeGYHNbx+WdtOfeCW4WzhS3nsMk6F/pcfnGK70Cd57zVorNkbatPa/oR\nEJ7LdrRKvHvsEwC/1MkB+YMh8sbgK7eVteUWLezOTTewB05iddEZ+3uGo3e6/U7sdcXVOOPQg3H/\nRhvCU37zXtXNccKvwMwWtNcDU/2/IufUsfAYFizFF1Y1CRWgYD1E6gSokc5L6ilgVsmbARdlLYBz\nB2AYlnXdZh2DbJnfMExFOem4DtY6XBOgoPIuQG3J2Ra9LoMIK6xfI48agHV6XjRmwlrF8QdK1DPY\nqR0ausZCuA9tlX4lCdIByg4CznIIXC40E6vDA3DjM9fxESx+dCs/+qWe2fYeswDm4PMW0vNz2Vk3\nMBvAPZcgHsEd/G2Dth11mx+hbWfQ+pkU5n3TQTtV2JO5HmvbtQzi8Dkc+FWlaQRs0S0oN93AHhom\nYUDycQHTcrX1Trffib2uvAZnHHIQ7ttYWdaWtVy11tkqHpp3TimyjGA0HTjl5Zt7CDTDk9+Ar5LV\n0BEyRrp43DRWWSTIhvMuQcqQ0HEm8Cv1qKbnvIW+GoSdCLPTV6z06EcNwMEPKrNLbBLwlBCs683p\nK2kMiFp5WKDOYRawS/ley3vCF6XAxQrl66yEdXeQoI0M58Ky9mFhGegNY8la5reS0TGMleOGlZ23\nAHrWRx2ADGe9ubRlK7vJw+LtqJu/xgi+beDSq0v5PtXmxvEe3UsWHMQkf9jW9gtCtFu0sDs31cCe\n72NdQx/TiPud7/g+9rnqWnz5da/GfRtvRPn0gDrB2EvwMpCNMlkQdlw+ZqHu9bp8r7Is05REh5Gu\nAqoijIDRl4bgBljA7rF4c4EKwGqI9uuoQDjKmMCifDnNBODtm2+ulUOmMYDJddP5qvJpq7yArgKr\nLpsF7d655Yo+S653mLuWb88iMw1ubpPYuMUQOLpfoEMc/s7QTsPhvrSsi4Vm0MPf9KgWaMgbdXDH\nZ6nFcLjoCFB86jhIcOt3ifM7xVvxONcozWW78ErSsGItLVBL4ww+AFv3egA4t7C+vLw4h925qQb2\npC9OkRYvStgSrHf63l3Y5+rrcPprDsB9tWFwC9wFqA0wW51Wl0olwpzlF2lsiAqAcHoL5AWgMxS6\ncAU9EZcLw+kP/oMX5eHLKMdwVeUTcFblzekrMDXiZVuwjLRWbb0TljvqIH31zoWqmwlN1lex1in/\nAuoRaCCgGXlYHYGi09D7ghNuOwncAuDVR7tK/Wa+NI/duFjHcsQgwjpfj53TljWAZG2Wz1ir560h\nh8P1kDe/5cyK10Pi3ZvP5KKz+Fa09B5xn63rrNuFd4hHgPNLUzpQt2jCyvARfDuT57LDO8W7eQDf\nLdBtwxC4b5HuOx7Sug49n27OWzXqWnSLFnbnphvYj3cOuwLsXe68C/tevRKnHrwf7tvw6cB4XMBX\nQDtFGZZ7DdBA/rGEHwjfbBh+aRdv8hSegwkI+VDApl9Wg45hFgItnQw7yud1e+8m6tE/vFyCsl7+\nOvig5HX6EsYlBPvqL/QQDCVcGSZaDwGP/QXoSKeWS3kS6KCgV9FbT6MgGdOa0OY8JrCyjUe8bHml\nt7bCnNJzG/twnpgtwpIOVnQa6oZPgE57ZGtazFuDoAwFYYJ2AXAO993wd56vDnPWHO95DjvOX0dw\nh9eUtnIOe+ybMH8dtxl4P5OGxjsL2+WhBA+gpbXoPu495MIzRwCHsV90a9M9ZYHNQ97ZSwRVQ+G7\n3PkD7HvtSpx60H74xYZPR3zdqOQup8/HauA9e/U17jiohJ1tJSpZIZ8FXU9YAT9TRkKii+My2lDt\nLSvrVOlEeRhwQ2WpwbBWrkKmx4pWZTOBbkCaw029ys8gNkGIEopD+ffPS+fy6Px0WYbAHdtT67eH\nwa30dehDpUEoH5oAZgfxPDXI323xM5g2pPNwMx2jtKrTqm5YAA7wxjCsxwTr4r3hsN4h7hK05zww\nbqMlHt8t7jD2EdZN9z7xsPDM+5kO2u0IaEd50Vn3fdA8/O1bwI/zjyNNcjvatHNq/+S7RQu7c9MN\nbJ5bLnfkGLyZwBHgu9z1A+x37Sr8+4Gvwr0bbhBgnQa3K06CubiUnfK6fOQ4zoIUyRcAEumczLsA\noZUuK86yE1iZopxWXqoMFVkrz2rdFcDEzZ3Doo6ibhPAtxLfC3gV1w9oI86AnYyzoSjbgdqsAmmh\nl9uI4k3wmnE25GGkqX+dS+qDCuPypUZ2csQW4PlqOScdQZ3noultZdGSDqCMbxsrHt2CbWWbVrUe\n/kYJa/sjH/SFrmRxx690xY9+BEu7BcZttKy7rW2Dlc2rxNswJN7OdMPh7Qhow6Izj7Bo1gXLmn5k\n6WYYn+Gmhl6LgNZucQ67c1MN7PF4Dg71kWcys8uoAOvn3fUj7H/dKnzpwL1x78ZPl3PS5BgkHJjh\n5Ew5hmUCE6flGzHLJ90GyDhjVQbHYYXOYUt7CGRFR0GUbRLLmfT3lLV37jaVzZU6jTIzzBmIWbaM\nL8LAEJNxXA6zjFrOhB0yzGDIgeIpDxuqtmzRKaD8hp6VHoK80NfzTnHzvMU2Tw2djxnWbWrk/Itm\nUHsCNc9J1yAsFobpMNrr+egEazVUXkA7xM0mSOdHuaRl7TGbrGtgrnX5UTIvV4q3hZU9gg9D4gjQ\nRjuCa0fhO9kIVnXbWduIlmrYt21ovNiw4XrFwlp0tmhhd26qge3b1hyUntR1sF4dYL1hp4dhRh7H\nCePNxoIpHZSwHkhD4RbE4gGXLeuxLVZTf08ew2BTec2j/LZcbmCGSpFXBADLGGksgFcBPZRelJth\n1emrliu1H0NV5mlZpyUUDX2qfI8X/r0QNlaJV/XXZAZ0wMk2TpCGy08ZhXBP4YC0qL336Wtb1pvK\nrPnoAtioWNmGBS0tZtvCtmXlsbaueSg8P3/dxbU+W9kR2N1weIB2GBL3fgbwM0BchOZdaJBRmL/m\nho3tHVs0P4Od3462cNwisDs31cAWc9jOlknBTgo8/wc/zrDeZMMKoJ085mudYSJEJQhyWqfSRlEt\nP5nOTo+GjEyf9diWb7UsBKgkw6CAPGY9X79wJQ7bzWyeTwAAHPdJREFU/6WiTFLvZEPhrLM2l85Q\nNNvAKrOOp8R2eY12SPp4uLoGWRRwj3H91mql3oa+XqhyO6myVuewzW9Xl2E6f7HXi8zMj3XwiZOQ\njsc+7cvhb4a2fJ1nD7DRb1VbaRjMFqz7VonPEqx50dms95hFeKmK716Wkua1oZ/FduHRsADsllaJ\nJws7zl2PgDiX7V0wrn03n43QoC60XOuBJoyZq2exXe5VYdEtHDfVwO67llzh8elm9by7fowDrluN\nL716b9y3yYbd4I+CRPa7pEcdChB0h06ljemUDg5n+PTAS+q0hra7PxpUnK5IjwHZAThbwD3z2zfg\n8Fe/zNZhgbhSL52mmp5lJ6mHbicGKHmyTkfpGFYlDMsyyc6FPf/M4cOjCSI/hil0mKEflXAFZRHX\nyDjuMIj8LIu68jUuwYFQybTaOwQzpONCMo/8tjIfFpAVw+Gor/i2YKyhXbz4xJi3ziu4fS+weZV4\n3vQKcR4a5zlsfqVpWCzX+m4E24eR7DjSHRd9h4fB3diFVXcOrgVc6ztGp+nr0NhNbGi9mBb147Xk\nFuewOzfVwG5GrjfepT/h2Dns8v1uGPzUg/fG/Zts1L0C0QJlAdOsI/uzx4SGkT9YTqXNSQ0rW4eT\nrASclDNlLH0MHFG3SltUyg1056UAoyhD/yiAaEOdnsupz1ktTWobA6w13dW8rWFnqlNF3gKmqUun\n4Q6FEVcDb9ZN9RS6ZLiGfQfhelxspxRnvB0tW9k5Pz73PMTtXGk5dx+84DeSSUinOLaqUQLbBHXP\nUHjtOWxhYWNSYNsWNselYfEWmPMt5toml7Ft0bZt2vu2RTtu0bZj+HG3IW0N3HgEjOfgxiO4cQvn\n0b1ApR2je6o7bE34nEjbwvkO6C6B2yN9MGSBuMUh8c5NNbBHFrAZaJm+AICd7/wR9rtmNU5/3T54\ncJONMUo3nrjPiRkkSQWrU2CrDk8X6bKQBbwC1D2yMv9Stg5/o05G+XvnhSt5AsBopil01EE70Lkw\noMc3/SrMrTwFyHJ9GEjFuTDytIay++VVmay4CDauC7V3FbZJ3oK/rXciWJtxFd2qwwAjLRKweZU3\nD3mrld48zG0sJqv7c7qaxdw3d12b95aPYVlD4nGRWOePL0bJi85QPIs96z1mW6S4/Ay2R9sGWPum\ns6x9B1EfwN22vvu8cNvCj9sOyOMR/HjcWdhjB7QuwNrD+fCNL+87WLcecN1xerSrm1+QJ2OBQHsR\n2J2bamDPLBleyRhvdDt974fY5+pV+Mrr98VDz9gIIw2fThi0E+kzQKM/BzDcJ9NZkbeApRKVepyQ\nq+rQ6XUdYhjXl0EU24L0chyXYWamqYJLQMjQY7VNFYiVcpYQN0DC9Sn0c7ist4AW1a8EbF2naJdY\nJljl0+3H5SB9FejGNJxPmd4Y8i6+Xd3TbnwNG3kBgCdYx/Njr/JWlrJ6Tprf9d36Oqz1C1EygONr\nQu0h8fgylfzmMfVYF6TFPKbHtmK68pGu2qNcHaylde2Ddd3mOeu2ReuzdZ228bgbCw+w9uMWTTuG\na0fB2gZc2wAtOli3HtG6Brq5axeez3YR0vDhFBmQXhjc/j/eTTWwRzM2sDXknnv7D7D3FTfga2/c\nHw8t2wgjKDClRNaQswofBJY1zJwPLMDVwD2RLCkt4NBXTgXw+eqpdTqAYGEnHVDQmUd9Hwe0ubyW\ntSogqGUmhnaO6x8+l+nqoO/SlWWz00t5EHRluSzg1wCsX3Ii6qfk4eS5ogZPYa0K87QvYU1z1Qq2\n1hyzhHg5FF6zlvUK8PRyFQ+Kl1BnizmvBrfBnT7kQdZ2HD5Pj3O1HbTXJIgjWdnd41xteN4aaMMz\n19Gq9uMO0L7lYfA5uLkRMDcHP27g5maBsYcb+87S9g5u7NGECQbnxnC+RePD0HiYY3DJug7z3QvM\nLc5hd26qgT1TATbT4Dnf/QFeefkN+MabD8BDyzbuKlwFhAoHgamAVw0SOZEAWbp3GXpCml7d6dAp\nmQwNG5BOyNZ0CPgZbVEvj0x7xCEvx8wSl9OaZZqgvrW6iPgMlqoOqr9Y+KTDBsoo4lXexXB3ypva\nUOnguKEhcbMzQHr657BVnkbHpUyv6kZp43nP+y5eLhaT/rz5YsRVAztBGj3A9hLoGtZ9z1SLD3n0\nDIe3iDC2X5RiPtY1YGWL4fA2WtvRugbm2gD91nWLysbd0Lgfe/hxZ1mjbePbVODGY7i5DtxxjzkH\nNwe4cQu0DZrWhTlqn4DdNG0Ha9emBWnON2Rp028cWBDW9eKQeOemG9hLR+KYAQAAz771Lux5yfU4\n+8gD8fCmG2NJlHJSVtxYSZmryHdpnJSjGzLtUmSZn8qTb+hW2Ywwnc/jsYh7QRmPe2R0Gf74zXtO\nDK1a/ty+NqzL9Bq0Om0VtDWdog5Ohqs0RR17yy6PB1dzc9msfAmyrF/Hx7qLMhZlMMqSKosojOgY\nzkAGrx7i7qxmCWdeLFbMW0eARr8xxF18UQt1wOs57D5YW89h65em6FeSMqDl5zLlCvDZ8Jx1NxSe\n/XFIPL/RLD9n7cejtGGugZtruvnpAOYmfklkLoI8QHuMDtKtQ9MGWKNF001qd7B2tCgtzmXDZz8N\nlYczjrXlVq48Ya3lHd3GG2+8tosw3cBestSwsMP9ZIebv489vn0dzj36IDy82caYiTdRkhkCn5bv\n5BzJZYESvCGc0ye1w4ASwEAZRkFFHYoOCN3oq22ggSL02fFDAK+lE/GFHifLJtohA8XUX7RrDVZZ\nbz+ce/LUaSLoestYGe52tlxfZ8esQyyXU+XivEme6ymP8zmILy2Rx6XlnIDs7Uesot9X/EPD2vOx\nqodgLYEeOgRGXG3ldxru5oVmNPed3k4G+S7wDs4NgdoF6zq/drSzrgOsBbBngLkZuLBhbtTBe7bJ\nVvWch5vzaMYtXAs0Y4fGA4333eaChZ2Gx9vw2BdZ4d7n62CBuIX2Epe16aYa2EvXHZnh2914J156\nwbVYfuxr8OstNsFSIlwVzAb4NGBFHEoA2Tqj2oqVHW/8nM2A3onLUdExlN+k1qwJSSNsCIK9sE3p\nKlZ7tVw6jRvWNc+yzxeyUU91jpjLR/mJjoY4dlIeHJZ1xzaRJ787NIey45bC+OtX6pvSyPPOpaVs\nr972FX+EuLagreFxC9h6OJ2t6WgNR78F6GIIvRgSz0PeeRU4SD6/6KQLc8lqjh/vmGtdAHUT4ppu\n7pqs6gzrbsN4BIxHcHOjDtizEdxL4NbMoJlr0Mw2aOaA0ZzHqG3RjIHRGBihA/bIj9E0HiPXovEt\nGozhXGeBu3QymgRt3+oFaIvQXAhuuoG9TgnsbVd9D7udew0uOuEQPLLVJlgCCUQg3/gkICqwNeWy\ngIbGJLKktoxztXJkeEjdSr5Hh73ivZynTTsFjBKSdnoJQw22/jTclgX0kl6jzWLYBHlUId1XJwu4\nFDdJR6AEbS28DnxxblX7pgYIwsWbw8KhbSVHC1kOWRcvLyEL2rKoNYBrFjTn1Wdl6/nsSYbCTWuZ\n4YsS6H2PdGXr2hoeR94QVnZ7j/gpzLZtkL6yFT6LOW5H6eMd4/DFrXGAdBvfAT7ujjFu4OdGcOMm\nWdVudgQ3O0IzN0IzO8JorkGzxmE0dh2wxx6j8RgjDzStxwgtGgRYjyKwO4u7GbsA7YYe8aKhcXaL\nzF7rbqqBvc56M0Qe4JnX3YEXnnUVLj/59Xhsq2VYBwqSwMSglHGGFczhBCOhO/3JN/Ayz+yR8gqu\n6bAEcSq7KsO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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2-period model\n", "The fact that the level of wage does not effect labor supply in a static model does not mean that variations in the real wage do not impact household labor supply when the time horizon is more than one period. Suppose that the representative household lives for two periods and that there is no uncertainty about future prices. Because of logarithmic preferences, the household will again follow the decision rule 'consume a fraction fixed fraction of the PDV of lifetime net worth.' We can derive this decision rule formally as follows. First, note that the household budget constraint is \n", "\n", "$$C_{0} + \\frac{1}{1 + r_{1}}C_{1} = W_{0}L_{0} + \\frac{1}{1 + r_{1}}W_{1}L_{1} \\tag{2.5}$$ \n", "\n", "where $r_{1}$ is the real interest rate. The Lagrangian for the household's two period optimization problem is \n", "\n", "$$\\mathcal{L} \\equiv ln(C_{0}) + b\\ ln(1-L_{0}) + \\beta[ln(C_{1}) + b\\ ln(1-L_{1})] + \\lambda\\left[W_{0}L_{0} + \\frac{1}{1 + r_{1}}W_{1}L_{1} - C_{0} - \\frac{1}{1 + r_{1}}C_{1}\\right] \\tag{2.6}$$ \n", "\n", "The houshold now chooses sequences of consumption and labor (i.e., representative household chooses $C_{0}, C_{1}, L_{0}, L_{1}$). The FOC along with the budget constraint imply a system of 5 equations in the 5 unknowns $C_{0}, C_{1}, L_{0}, L_{1}, \\lambda$ as follows:\n", "\n", "$$\\frac{1}{C_{0}} - \\lambda = 0$$\n", "\n", "$$\\beta\\frac{1}{C_{1}} - \\lambda \\frac{1}{1+r_{1}}= 0$$\n", "\n", "$$-\\frac{b}{1 - L_{0}} + \\lambda W_{0} = 0$$\n", "\n", "$$-\\beta\\frac{b}{1 - L_{1}} + \\lambda \\frac{1}{1 + r_{1}}W_{1} = 0$$\n", "\n", "$$C_{0} + \\frac{1}{1 + r_{1}}C_{1} = W_{0}L_{0} + \\frac{1}{1 + r_{1}}W_{1}L_{1}$$\n", "\n", "This 5 equation system can be reduced (by eliminating the Lagrange multiplier $\\lambda$) to a linear system of 4 equations in 4 unknowns:\n", "\n", "$$\\begin{vmatrix} b & \\ 0 & \\ W_{0} & 0 \\\\\\ \\beta(1 + r_{1}) & -1 & 0 & 0 \\\\\\ 0 & \\ b & 0 & W_{1} \\\\\\ 1 & \\frac{1}{1 + r_{1}} & -W_{0} & -\\frac{1}{1+r_{1}}W_{1} \\end{vmatrix} \\begin{vmatrix}C_{0} \\\\\\ C_{1} \\\\\\ L_{0} \\\\\\ L_{1}\\end{vmatrix} = \\begin{vmatrix} W_{0} \\\\\\ 0 \\\\\\ W_{1} \\\\\\ 0\\end{vmatrix}$$\n", "\n", "The above system can be solved in closde form using some method like Cramer's rule/substitution etc to yield the following optimal sequences/policies for consumption and labor supply:\n", "\n", "$$C_{0} = \\frac{1}{(1 + b)(1 + \\beta)}\\left(W_{0} + \\frac{1}{1 + r_{1}}W_{1}\\right) \\tag{2.7}$$\n", "\n", "$$C_{1} = \\left(\\frac{1 + r_{1}}{1 + b}\\right)\\left(\\frac{\\beta}{1 + \\beta}\\right)\\left(W_{0} + \\frac{1}{1 + r_{1}}W_{1}\\right) \\tag{2.8}$$\n", "\n", "$$L_{0} = 1 - \\left(\\frac{b}{W_{0}}\\right)\\left(\\frac{1}{(1 + b)(1 + \\beta)}\\right)\\left(W_{0} + \\frac{1}{1 + r_{1}}W_{1}\\right) \\tag{2.9}$$\n", "\n", "$$L_{1} = 1 - \\left(\\frac{b\\beta(1+r_{1})}{W_{1}}\\right) \\left(\\frac{1}{(1 + b)(1 + \\beta)}\\right)\\left(W_{0} + \\frac{1}{1 + r_{1}}W_{1}\\right) \\tag{2.10}$$\n", "\n", "Several important points to note about the above optimal consumption and labor supply policies. Household's lifetime net worth \n", "\n", "$$W_{0} + \\frac{1}{1 + r_{1}}W_{1}$$\n", "\n", "is the present discounted value of its labor endowment. Household's lifetime net worth depends on the wages in BOTH periods and future interest rate. This hints at a more general result: if the household has an infinite time horizon, lifetime net worth depends on the entire future path of wages and interest rates! In each period, houshold's consume a fraction of their lifetime net worth. Although the fraction changes in this simple two period model, if the household has an infinite horizon, the fraction of lifetime net worth consumed each period will be fixed and equal to \n", "\n", "$$\\frac{1}{(1 + b)(1 + \\beta + \\beta^2 + \\dots)}=\\frac{1 - \\beta}{1 + b}$$\n", "\n", "From the policy function for $L_{0}$, one can show that in order for the labor supply in period $t=0$ to be non-negative (which it must!), the following inequality must hold: \n", "\n", "$$\\left(\\frac{1}{1 + r_{1}}\\right)\\left(\\frac{W_{1}}{W{0}}\\right) \\lt \\frac{(1 + b)(1 + \\beta)}{b} - 1$$\n", "\n", "From the policy function for $L_{1}$, in order for the labor supply in period $t=1$ to be non-negative (which it must!), the following inequality must hold: \n", "\n", "$$(1 + r_{1})\\left(\\frac{W_{0}}{W_{1}}\\right) \\lt \\left(\\frac{1 + b}{b}\\right)\\left(\\frac{1 + \\beta}{\\beta}\\right) - 1$$\n", "\n", "### Exercise\n", "\n", "The code in the cells below walks you through some exercises deisgned to build your intuition about the inter-period tradeoffs between consumption and labor supply. Please try the following:\n", "\n", "1. Execute the code in each of the remaining cells in the task and interpret the results.\n", "2. Return to the cell just below this one and change the value of $b$ (either higher or lower is fine). Given your new value of $b$ try and predict the direction of the changes to the elements of the optimal sequences of $C$ and $L$. Check that the plots confirm your intuition. Remember, that a change in $b$ is changing the weight that the household places on utility from leisure relative to utility from consumption.\n", "3. Return to the cell just below this one and reset $b=2.5$. Alter the prices (i.e., wages and the interest rate) so that the labor supply choice in period $t=0$ is close to zero and then regenerate and interpret the contour plots.\n", "4. Return to the cell just below this one and reset $b=2.5$. Alter the prices so that the labor supply choice in period $t=1$ is close to zero and then regenerate and interpret the contour plots. \n", "\n", "Follow along and be sure to ask questions if you get stuck!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# define parameter values\n", "b, beta, theta, omega = 2.5, 0.99, 1.0, 1.0\n", " \n", "# Specify some prices (i.e., wages and interest rates) all of which households take as given\n", "W0, W1, r1 = 5, 5, 0.025\n", "\n", "# Calculate the household's initial net worth (i.e., the PDV of his labor endowment) given these prices\n", "networth = W0 + (1 / (1 + r1)) * W1\n", "\n", "print \"PDV of Household's net worth (i.e., labor endowment):\", networth" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "PDV of Household's net worth (i.e., labor endowment): 9.87804878049\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# is the non-negativity constraint on l0 satisfied by your chosen prices?\n", "(1 / (1 + r1)) * (W1 / W0) < ((((1 + b) * (1 + beta)) / b) - 1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "True" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# is the non-negativity constraint on l1 satisfied by your chosen prices?\n", "(1 + r1) * (W0 / W1) < (((1 + b) / b) * ((1 + beta) / beta) - 1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "True" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the coefficient matrix, $A$, and vector of dependent values, $d$, for our four equation system (i.e, with two periods agent must choose $C_{0}$, $L_{0}$, $C_{1}$, and $L_{1}$)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.array([[b, 0, W0, 0], \n", " [beta * (1 + r1), -1, 0, 0], \n", " [0, b, 0, W1], \n", " [1, 1 / (1 + r1), -W0, -(1 / (1 + r1)) * W1]])\n", "\n", "d = np.array([[W0], \n", " [0], \n", " [W1], \n", " [0]])\n", "\n", "# Solve the system of equations and assign the optimal choices for consumption and labor\n", "C_star0 = linalg.solve(A, d)[0,0]\n", "C_star1 = linalg.solve(A, d)[1,0] \n", "L_star0 = linalg.solve(A, d)[2,0]\n", "L_star1 = linalg.solve(A, d)[3,0]\n", "u_star0 = u(C_star0, L_star0)\n", "u_star1 = u(C_star1, L_star1)\n", "\n", "print \"Optimal C sequence:\", (C_star0, C_star1) \n", "print \"Optimal l sequence:\", (L_star0, L_star1) \n", "print \"Flow of utility: \", (u_star0, u_star1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimal C sequence: (1.4182410309386655, 1.4391600861450105)\n", "Optimal l sequence: (0.2908794845306672, 0.28041995692749472)\n", "Flow of utility: (-0.50990707530324508, -0.45865910672420079)\n" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that `C_star0`, as obtained above, equates to the optimal value of consumption in period t=0 derived analytically (use Python as a calculator to compute the analytic solution!). Then do the same for `C_star1`, `L_star0`, and `L_star1`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# my solution \n", "print \"Optimal C, t=0:\", (1 / ((1 + b) * (1 + beta))) * (W0 + (1 / (1 + r1)) * W1)\n", "print \"Optimal C, t=1:\", ((1 + r1) / (1 + b)) * (beta / (1 + beta)) * (W0 + (1 / (1 + r1)) * W1)\n", "print \"Optimal l, t=0:\", 1 - (b / W0) * (1 /((1 + b) * (1 + beta))) * (W0 + (1 / (1 + r1)) * W1)\n", "print \"Optimal l, t=1:\", 1 - ((b * beta * (1 + r1)) / W1) * (1 /((1 + b) * (1 + beta))) * (W0 + (1 / (1 + r1)) * W1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimal C, t=0: 1.41824103094\n", "Optimal C, t=1: 1.43916008615\n", "Optimal l, t=0: 0.290879484531\n", "Optimal l, t=1: 0.280419956927\n" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's add the budget constraint in period $t=0$ as well as the contour line/indifference curve which satisfies the necessary tangency condition to the contour plot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,8))\n", "ax = fig.add_subplot(111)\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# re-create the contour plot\n", "im = ax.imshow(utility, interpolation='gaussian', origin='lower', cmap=mpl.cm.terrain, \n", " vmin=-10, vmax=np.max(utility), extent=(0, 1, 0, 10), aspect=0.10)\n", "\n", "# plot the budget constraint\n", "labor_supply = np.linspace(0, 1, 100)\n", "ax.plot(labor_supply, W0 * labor_supply + (1 / (1 + r1)) * (W1 * L_star1 - C_star1), \n", " color='r', label=r'$C_{0}=W_{0}L_{0} + \\frac{1}{1 + r_{1}}(W_{1}L_{1}^* - C_{1}^*)$')\n", "\n", "# demarcate the indifference curve...\n", "CS = ax.contour(L, C, utility, np.array([u_star0]), colors='k', linewidths=1, linestyles='solid')\n", "ax.clabel(CS, inline=1, fmt='%1.4f')\n", "\n", "# mark the optimal bundle\n", "ax.hlines(C_star0, 0, L_star0, linestyle='dashed')\n", "ax.vlines(L_star0, 0, C_star0, linestyle='dashed')\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_ylabel(r'Consumption, $C_{t}$', family='serif', fontsize=15)\n", "ax.set_xlabel(r'Labor, $L_{t}$', family='serif', fontsize=15)\n", "ax.set_title(r'Optimal bundle in period t=0 for $b=%.2f, \\beta=%.2f$' %(b, beta), \n", " fontsize=15, family='serif')\n", "ax.legend(loc=4, frameon=False)\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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v3jr1ype5sWv+DrnIjmrtGgidkzUPz3XIpeHFhEWO6VrkRljzzDWf5oamptxw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wFy95jw+tujDxu0LVuLQ346E3vfNRdzPjcZv5rxdazfsQ3vt9eA9mboBI2j7gDsZ2YtxrMPL46m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+9RUcN/sEkubgu8E57NwNaGDXar0wiEaeg7ORJ0SlVl8nYE1BQgMpLF2SjgLUM9asx+IZR+Nr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\n3ceHkU1LrHi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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can plot the budget constraint for period $t=1$ and the indifference curve that is tangent with the budget constraint at the optimal consumption-labor bundle." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,8))\n", "ax = fig.add_subplot(111)\n", "\n", "# we will actually plot output\n", "utility = u(C, L)\n", "\n", "# re-create the contour plot\n", "im = ax.imshow(utility, interpolation='gaussian', origin='lower', cmap=mpl.cm.terrain, \n", " vmin=-10, vmax=np.max(utility), extent=(0, 1, 0, 10), aspect=0.10)\n", "\n", "# plot the budget constraint\n", "labor_supply = np.linspace(0, 1, 100)\n", "ax.plot(labor_supply, W0 * labor_supply + (1 / (1 + r1)) * (W1 * L_star1 - C_star1), color='r', alpha=0.25)\n", "ax.plot(labor_supply, W1 * labor_supply + (1 + r1) * (W0 * L_star0 - C_star0), color='r',\n", " label=r'$C_{1} = W_{1}L_{1} + (1 + r_{1})(W_{0}L_{0}^* - C_{0}^*)$')\n", "\n", "# demarcate the indifference curve...\n", "CS_0 = ax.contour(L, C, utility, np.array([u_star0]), colors='k', linewidths=1, linestyles='solid', alpha=0.25)\n", "CS_1 = ax.contour(L, C, utility, np.array([u_star1]), colors='k', linewidths=1, linestyles='solid')\n", "ax.clabel(CS_1, inline=1, fmt='%1.4f')\n", "\n", "# mark the optimal bundle\n", "ax.hlines(C_star1, 0, L_star1, linestyle='dashed')\n", "ax.vlines(L_star1, 0, C_star1, linestyle='dashed')\n", "\n", "# axes, labels, title, colorbar etc.\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 10)\n", "ax.set_ylabel(r'Consumption, $C_{t}$', family='serif', fontsize=15)\n", "ax.set_xlabel(r'Labor, $L_{t}$', family='serif', fontsize=15)\n", "ax.set_title(r'Optimal bundle in period t=1 for $b=%.2f, \\beta=%.2f$' %(b, beta),\n", " family='serif', fontsize=15)\n", "ax.legend(loc=4, frameon=False)\n", "fig.colorbar(utility_surface, shrink=0.75, aspect=10)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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H5zogv0jJKzWzHNO1yI2w5j3XHa27Mf3AcejIdKK+LsXuO7GYOTjMinaJWStH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OAAAg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\nK2ERutrSsrCdu/vuu3HUUUfhpJNOUuONMbjiiitw4okn4vd+7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hP5wxy2JXPUlsSROW6/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WFrS1tGB1ZxUtzc3cui0uXGbZM1AfxsW7HkHf0DDuPX0zvnXlJUAGdI+NoTo1g7FqO/b2rkGt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\nyF27dsk+ffrIioqKQPyKFSvk2LF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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 3: Solving a Real Business Cycle (RBC) Model using `Dynare++`\n", "\n", "The remainder of the lab focuses on solving and analyzing the RBC/DSGE models using perturbation methods implemented in [`Dynare++`](http://www.dynare.org/documentation-and-support/dynarepp). Perturbation methods are *local* approximation methods: our strategy will be to pick a point in the state space of the model around which to approximate the decision rules of the representative household. Our solution will only be valid/accurate within some small neighborhood of our chosen point. Perturbation methods are fundamentally different from, say, numerical dynamic programming methods which can be used to find *global* approximations to the decision rules of the representative household.\n", "\n", "Those interested in the mathematical machinery of perturbation methods should consult Chapters 13 and 14 of [*Numerical Methods for Economists*](http://www.amazon.co.uk/Numerical-Methods-Economics-Kenneth-Judd/dp/0262100711) and the papers included in the literature folder." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A basic RBC model\n", "\n", "### Firms\n", "\n", "Representative firm has a constant returns to scale (CRTS), constant elasticity of substitution (CES) production function.\n", "\n", "$$ Y_t = F(Z_t, K_t, L_t) = e^{Z_t} \\Bigg[\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}\\Bigg]^{\\frac{\\sigma}{\\sigma-1}} \\tag{3.1}$$\n", "\n", "Total factor productivity shocks, $Z_t$, are assumed to follow a first-order autoregressive process:\n", "\n", "$$Z_t = \\rho_z Z_{t-1} + \\epsilon_{z,t} \\tag{3.2}$$ \n", "\n", "where the disturbance, $\\epsilon_z$, is assumed to be Gaussian with zero mean and standard deviation $\\sigma_z$: $\\epsilon_z \\sim N(0, \\sigma_z)$. All markets are competitive and therefore factors are paid their respective marginal products.\n", "\n", "\\begin{align}\n", "W_t =& \\frac{\\partial F}{\\partial L_t} = \\left(\\frac{(1 - \\alpha)L_t^{-\\frac{1}{\\sigma}}}{\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}}\\right) Y_t \\tag{3.3} \\\\\n", "r_t =& \\frac{\\partial F}{\\partial K_t} = \\left(\\frac{\\alpha K_t^{-\\frac{1}{\\sigma}}}{\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}}\\right) Y_t \\tag{3.4}\n", "\\end{align}\n", "\n", "Joint assumption of constant returns to scale and perfect competition implies that representative firm earns zero profits.\n", "\n", "$$ Y_t = W_t L_t + r_tK_{t-1} \\tag{3.5}$$\n", "\n", "\n", "### Households\n", "\n", "#### Preferences\n", "The lifetime utility of the representative household is:\n", "\n", "$$ U = E\\left\\{\\sum_{t=0}^{\\infty} \\beta^t u\\bigg(C_t, L_t\\bigg)\\right\\} $$\n", "\n", "where the flow utility function has the following form.\n", "\n", "$$ u\\bigg(C_t, L_t\\bigg) = \\left(\\frac{C_t^{1 - \\theta} - 1}{1 - \\theta}\\right) + b \\left(\\frac{(1 - L_t)^{1 - \\omega} - 1}{1 - \\omega}\\right) $$\n", "\n", "The parameter $0 < \\theta$ is the coefficient of relative risk avesion, $0 < \\omega$ is the inverse inter-temporal elasticity of substitution between current and future leisure, and $0 < b$ controls the importance of leisure in determining flow utility. Note that if $\\theta = \\omega = 1$, then \n", "\n", "$$u\\bigg(C_t, L_t\\bigg) = \\ln C_t + b \\ln (1 - L_t) $$\n", "\n", "and we recover the flow utility function assumed by Romer and used in your lecture notes.\n", "\n", "The household has two sources of income: labor income, $W_tL_t$, and capital income, $r_t K_{t-1}$. The household must divide its total income between consumption and investment:\n", "\n", "$$ C_t + I_t = W_tL_t + r_tK_{t-1} $$\n", "\n", "The household's initial stock of capital, $K_0$, is assumed given, and its capital holdings evolve as follows.\n", "\n", "$$ K_t = (1 - \\delta)K_{t-1} + I_t $$\n", "\n", "The representative household's objective is to solve:\n", "\n", "$$ \\max_{\\{C\\}_{t=0}^{\\infty}, \\{L\\}_{t=0}^{\\infty}} E\\left\\{\\sum_{t=0}^{\\infty} \\beta^t\\Bigg[\\left(\\frac{C_t^{1 - \\theta} - 1}{1 - \n", "\\theta}\\right) + b \\left(\\frac{(1 - L_t)^{1 - \\omega} - 1}{1 - \\omega}\\right)\\Bigg]\\right\\} $$\n", "\n", "subject to the flow budget constraint and the equation of motion for capital stock. \n", "\n", "\\begin{align}\n", "C_t + I_t =& W_tL_t + r_tK_{t-1} \\tag{3.6a}\\\\\n", "K_t =& (1 - \\delta)K_{t-1} + I_t \\tag{3.6b}\n", "\\end{align}\n", "\n", "#### Solution to household's problem\n", "\n", "To solve the household's problem, combine the two constraints as follows:\n", "\n", "$$ K_t = W_tL_t + (1 + r_t - \\delta)K_{t-1} - C_t $$\n", "\n", "and then form the Lagrangian.\n", "\n", "$$ \\mathcal{L} \\equiv E\\left\\{\\sum_{t=0}^{\\infty} \\beta^t\\Bigg[\\left(\\frac{C_t^{1 - \\theta} - 1}{1 - \n", "\\theta}\\right) + b \\left(\\frac{(1 - L_t)^{1 - \\omega} - 1}{1 - \\omega}\\right) + \\lambda_t\\bigg[W_tL_t + (1 + r_t - \\delta)K_{t-1} - C_t - K_t\\bigg]\\Bigg]\\right\\} $$\n", "\n", "First-order necessary conditions are\n", "\n", "\\begin{align}\n", "\\frac{\\partial \\mathcal{L}}{\\partial C_t} = 0 \\implies& C_t^{-\\theta} = \\lambda_t \\\\ \n", "\\frac{\\partial \\mathcal{L}}{\\partial L_t} = 0 \\implies& b(1 - L_t)^{-\\omega} = W_t\\lambda_t\\\\\n", "\\frac{\\partial \\mathcal{L}}{\\partial K_t} = 0 \\implies& \\lambda_t = \\beta E_t\\bigg\\{\\lambda_{t+1}(1 + r_{t+1} - \\delta)\\bigg\\} \n", "\\end{align}\n", "\n", "Combine the first two FOCs and we get the intra-temporal trade-off between consumption and labor. Optimal choice of $C_t$ and $L_t$ should equate the benefit from an extra unit of leisure, $b(1-L_t)^{-\\omega}$, with the benefit from consuming $W_t$ units of the consumption good, $W_tC_t^{-\\theta}$. \n", "\n", "$$ b(1 - L_t)^{-\\omega} = W_tC_t^{-\\theta} \\tag{3.7}$$\n", "\n", "Combine the first and the third FOCs and we get the inter-temporal trade-off between consumption (i.e., the consumption Euler equation). As usual, the consumption Euler equation implies that the optimal allocation of $C$ across time equates the benefit from an additional unit of consumption today with the *expected* benefit from and consuming that additional unit tomorrow.\n", "\n", "$$ C_t^{-\\theta} = \\beta E_t\\bigg\\{C_{t+1}^{-\\theta}(1 + r_{t+1} - \\delta)\\bigg\\} \\tag{3.8}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model summary\n", "\n", "#### Equations\n", "Collecting the numbered equations from above yields the following system of 9 non-linear equations (only one of which involves computing expectations) in the 8 unknowns $Y, Z, K, L, W, r, C, I$. \n", "\n", "\\begin{align}\n", "0 =& Y_t - e^{Z_t} \\Bigg[\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}\\Bigg]^{\\frac{\\sigma}{\\sigma-1}} \\tag{3.1} \\\\ \\\\\n", "0 =& Z_t - \\rho_z Z_{t-1} - \\epsilon_{z,t} \\tag{3.2} \\\\ \\\\\n", "0 =& W_t - \\left(\\frac{(1 - \\alpha)L_t^{-\\frac{1}{\\sigma}}}{\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}}\\right) Y_t \\tag{3.3} \\\\ \\\\\n", "0 =& r_t - \\left(\\frac{\\alpha K_t^{-\\frac{1}{\\sigma}}}{\\alpha K_{t-1}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) L_t^{\\frac{\\sigma - 1}{\\sigma}}}\\right) Y_t \\tag{3.4} \\\\ \\\\\n", "0 =& Y_t - W_t L_t - r_tK_{t-1} \\tag{3.5} \\\\ \\\\\n", "0 =& C_t + I_t - W_tL_t - r_tK_{t-1} \\tag{3.6a}\\\\ \\\\\n", "0 =& K_t - (1 - \\delta)K_{t-1} - I_t \\tag{3.6b} \\\\ \\\\\n", "0 =& b(1 - L_t)^{-\\omega} - W_tC_t^{-\\theta} \\tag{3.7} \\\\ \\\\\n", "0 =& C_t^{-\\theta} - \\beta E_t\\bigg\\{C_{t+1}^{-\\theta}(1 + r_{t+1} - \\delta)\\bigg\\} \\tag{3.8}\n", "\\end{align}\n", "\n", "Wait a minute! If we have 9 equations, but only 8 unknowns doesn't this mean we have an over-identified system? Yes! Equation 3.5, which defines the zero profit condition, is redundant. Why include a redundant equation? We will use equation 3.5 as a \"sanity check\" to confirm that we have coded the model into `Dynare++` correctly: we know that profits of the representative firm must be zero in every period, thus define an extra variable called `zero_profit` and check whether `zero_profit` $\\equiv Y_t - W_t L_t - r_tK_{t-1} = 0$ holds for our solution.\n", "\n", "#### Parameters\n", "In order to solve the model, we will need to specify values for the following 9 parameters:\n", "\n", "* $0 < \\beta < 1$: Representative household's discount factor;\n", "* $0 < \\theta <\\infty$: Representative household's coefficient of relative risk aversion;\n", "* $0 < \\omega < \\infty$: Representative household's inverse of the inter-temporal elasticity of substitution of leisure;\n", "* $0 < b < \\infty$: Controls the importance of utility from leisure for the representative household;\n", "* $0 < \\delta < 1$: Depreciation factor for physical capital;\n", "* $0 < \\alpha < 1$: Controls the relative importance of capital and labor in production process;\n", "* $0 < \\sigma < \\infty$: Elasticity of substitution between capital and labor in production process;\n", "* $-1 < \\rho_z < 1$: Correlation of productivity process;\n", "* $0 < \\sigma_z < \\infty$: Standard deviation of productivity shocks.\n", "\n", "Because I want to focus on the numerical techniques used to solve RBC/DSGE models, we will simple specify values for these parameters and not bother estimating them using data. However, you should be aware taht there is an enormous literature on Bayesian and Maximum Likelihood methods for estimating DSGE models. Those interested in learning how to estimate DSGE modles should start by reading the Dynare [user's guide](http://www.dynare.org/documentation-and-support/user-guide/Dynare-UserGuide-WebBeta.pdf), [reference manual](http://www.dynare.org/wp-repo/dynarewp001.pdf), and citations therein. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Coding the model file\n", "\n", "Both `Dynare` and `Dynare++` require us to create a text file summarizing the model that we wish to solve. The `Dynare++` model file generally involves three commands that tell the program what are the model's variables, which of them are endogenous (and which are exogenous) and what are the model parameters.\n", "\n", "The commands are:\n", "\n", "* `var` starts a comma separated list of endogenous variables.\n", "* `varexo` starts a comma separated list list of exogenous variables that will be shocked.\n", "* `parameters` starts a comma separated list of parameters.\n", "\n", "**Example syntax:**\n", "\n", " var Y, K, L, C, I, r, W, Z, zero_profit;\n", " varexo eps_z;\n", " parameters b, alpha, beta, delta, sigma, theta, omega, rho_z, sigma_z;\n", "\n", "#### Exercise:\n", "\n", "The code in the cells below uses the `%%writefile` IPython magic command to create a new text file in your working directory called `rbc_benchmark.mod` and add some lines of code delaring endogenous and exogenous variables. \n", "\n", "** N.B.: Each line of the model file must end with a semi-colon. The most common syntax error when writing model files is to forget to end the line with a semi-colon!**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile rbc_benchmark.mod\n", "////////// Declare variables //////////\n", "\n", "/* \n", "\n", "///// Endogenous variables /////\n", " \n", " K: capital\n", " C: consumption\n", " Z: productivity\n", " Y: output\n", " I: investment\n", " W: real wage\n", " r: net interest rate\n", " L: labor supply\n", " zero_profit: zero profit condition\n", "\n", "*/\n", "var Y, K, L, C, I, r, W, Z, zero_profit;\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Overwriting rbc_benchmark.mod\n" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we declare the model's exogenous variables. Note the use of the `-a` option which tells IPython that we wish to append the contents of the cell to the current file `rbc_benchmark.mod`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "///// Exogenous variables /////\n", "\n", "// eps_z: productivity shock \n", "varexo eps_z;\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we declare the model parameters. Note the use of the `-a` option which tells IPython that we wish to append the contents of the cell to the current file `rbc_benchmark.mod`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "////////// Declare parameters //////////\n", "parameters b, alpha, beta, delta, sigma, theta, omega, rho_z;\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will also need to specify values for our parameters. I prefer to specify the values of each parameter on a separate line. I always include a short comment describing each parameter.\n", "\n", "**Example syntax:**\n", "\n", " // discount factor\n", " beta = 0.9896;\n", "\n", "#### Exercise:\n", "\n", "Using the `%%writefile` IPython magic command. Add the code from the example above which specifies a value for the discount factor. Using the example syntax as a guide, add additional lines of code to the text file defining values for the remaining parameters of the model. \n", "\n", "* Discount factor, $\\beta = 0.9896$\n", "* Coefficient of relative risk aversion, $\\theta = 2.5$\n", "* Inverse elasticity of substitution for leisure, $\\omega = 1.5$\n", "* Weight for leisure in utility, $b = 2.0$\n", "* Elasticity of substitution between capital and labor, $\\sigma = 0.75$\n", "* Relative weight of capital in production, $\\alpha = 0.40$\n", "* Depreciation rate of capital, $\\delta = 0.025$\n", "* Persistence of productivity process, $\\rho_z = 0.95$\n", "\n", "** N.B.: Each line of the model file must end with a semi-colon. The most common syntax error when writing model files is to forget to end the line with a semi-colon!**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "// discount factor\n", "# insert your code here!\n", "\n", "// coefficient of relative risk aversion\n", "theta = 2.5;\n", "\n", "// inverse elasticity of substitution for leisure\n", "# insert your code here!\n", "\n", "// weight for leisure in utility\n", "b = 2.0;\n", "\n", "// elasticity of substitution between capital and labor\n", "# insert your code here!\n", "\n", "// relative weight of capital in production\n", "alpha = 0.40;\n", "\n", "// depreciation rate of capital\n", "# insert your code here!\n", "\n", "// persistence of productivity process\n", "rho_z = 0.95;\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model's equations are formulated in the same way in both `Dynare` and `Dynare++`: we specifiy a \"model block\" by inserting the following lines into our model file... \n", "\n", " model;\n", " \n", " // INSERT YOUR MODEL'S EQUATIONS HERE !\n", " \n", " end;\n", " \n", "The keywords `model;` and `end;` are how the program is able to find and then parse our model equations. Model equations can be specified as mathematical expressions using the following functions and operators:\n", "\n", "* Binary operators: `+ - * / ^`.\n", "* Unary plus and minus as in `a = -3;` and `a = +3;` respectively.\n", "* Unary mathematical functions: `log exp sin cos tan sqrt`, where the logarithm has a natural base\n", "\n", "The `Dynare++` manual also lists a symbolic differentiation operator `diff(expr,symbol)`, where `expr` is a mathematical expression and `symbol` is a unary symbol (i.e., a variable or a parameter); for example \n", "\n", " diff(A*K(-1)^alpha*L^(1-alpha),K(-1))\n", "\n", "is internally expanded as \n", "\n", " A*alpha*K(-1)^(alpha-1)*L^(1-alpha).\n", " \n", "However, I have not been able to get model files to compile when using the `diff` operator.\n", "\n", "**Example syntax:**\n", "\n", " // consumption Euler equation (i.e., equation 3.7)\n", " C^(-theta) = beta * C(+1)^(-theta) * (1 + r(+1) - delta);\n", "\n", "In `Dynare` and `Dynare++`, the timing of each variable reflects the period in which that variable is decided. For instance, capital stock is not decided today, but yesterday (recall that it is a function of yesterday's investment and capital stock); it is what we call in the jargon a \"predetermined variable.\" Thus, even though in Romer's textbook (and in your lecture notes and in many published papers!) the equation of motion for capital is written \n", "\n", "$$ K_{t+1} = (1 - \\delta)K_t + I_t$$\n", "\n", "in order to use `Dynare` and `Dynare++` we must re-write this equation as\n", "\n", "$$ K_t = (1 - \\delta)K_{t-1} + I_t$$\n", "\n", "which we would code in our model file as\n", "\n", " // household evolution of capital (i.e., equation 3.6b)\n", " K = (1 - delta) * K(-1) + I;\n", "\n", "A slightly more roundabout way to explain the same thing is that for stock variables, we must use a \"stock at the end of the period\" convention. It is investment during period $t$ that sets stock at the end of period $t$. Again a lot of papers use the \"stock at the beginning of the period\" convention. There is nothing wrong with this! But if you want to use either `Dynare` or `Dynare++` to solve such a model then you will need to re-write the model using \"stock at the end of the period\" convention.\n", "\n", "#### Exercise:\n", "\n", "The code in the cell below adds the model expressions for the consumption Euler equation and the equation of motion for capital stock from the example above using the `%%writefile` IPython magic command. Using the example syntax as a guide, add additional expressions for each of the model equations. When you are finished you should have 9 equations: one for each of our 9 declared variables! Save your changes to the file `rbc_benchmark.mod`\n", "\n", "** N.B.: Each line of the model file must end with a semi-colon. The most common syntax error when writing model files is to forget to end the line with a semi-colon!**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "////////// Model equations //////////\n", "\n", "model;\n", "\n", "// production (i.e., equation 3.1)\n", "# insert your code here!\n", "\n", "// productivity process (i.e., equation 3.2)\n", "Z = rho_z * Z(-1) + eps_z;\n", "\n", "// real wage (i.e., equation 3.3)\n", "# insert your code here!\n", "\n", "// rental rate (i.e., equation 3.4)\n", "r = ((alpha *K(-1)^(-1 / sigma)) / (alpha * K(-1)^((sigma - 1) / sigma) + (1 - alpha) * L^((sigma - 1) / sigma))) * Y;\n", "\n", "// check that zero profit condition holds (i.e., equation 3.5)\n", "zero_profit = Y - W * L - r * K(-1);\n", "\n", "// household budget constraint (i.e., equation 3.6a)\n", "# insert your code here!\n", "\n", "// household evolution of capital (i.e., equation 3.6b)\n", "K = (1 - delta) * K(-1) + I;\n", "\n", "// consumption Euler equation (i.e., equation 3.7)\n", "# insert your code here!\n", "\n", "// intra-temporal consumption/labor trade-off (i.e., equation 3.8)\n", "b * (1 - L)^(-omega) = W * C^(-theta);\n", "\n", "end;" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Deterministic steady state\n", "In order to solve our RBC model using perturbation methods, we need to specify a point in state space around which we will approximate the decision rules of the representative household. By convention, NOT necessity, most researchers choose to approximate the decision rules around the deterministic steady state of the model. By definition, the deterministic steady state of the model is the point in state space where the model would remain in the absence of shocks: \n", "\n", "$$\\epsilon_{z,t} = 0\\ \\forall\\ t\\ \\implies Z_t = 0\\ \\forall\\ t. $$\n", "\n", "To solve for the deterministic steady state of our RBC model we need to find values $\\overline{Y}, \\overline{K}, \\overline{L}, \\overline{W}, \\overline{r}, \\overline{C}, \\overline{I}$ that jointy solve the following system of non-linear equations.\n", "\n", "\\begin{align}\n", "0 =& \\overline{Y} - \\Bigg[\\alpha \\overline{K}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) \\overline{L}^{\\frac{\\sigma - 1}{\\sigma}}\\Bigg]^{\\frac{\\sigma}{\\sigma-1}} \\tag{3.9}\\\\ \\\\\n", "0 =& \\overline{W} - \\left(\\frac{(1 - \\alpha)\\overline{L}^{-\\frac{1}{\\sigma}}}{\\alpha \\overline{K}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) \\overline{L}^{\\frac{\\sigma - 1}{\\sigma}}}\\right) \\overline{Y} \\tag{3.10}\\\\ \\\\\n", "0 =& \\overline{r} - \\left(\\frac{\\alpha \\overline{K}^{-\\frac{1}{\\sigma}}}{\\alpha \\overline{K}^{\\frac{\\sigma - 1}{\\sigma}} + (1 - \\alpha) \\overline{L}^{\\frac{\\sigma - 1}{\\sigma}}}\\right) \\overline{Y} \\tag{3.11}\\\\ \\\\\n", "0 =& \\overline{Y} - \\overline{C} - \\overline{I} \\tag{3.12}\\\\ \\\\\n", "0 =& \\overline{K} - (1 - \\delta)\\overline{K} - \\overline{I} \\tag{3.13}\\\\ \\\\\n", "0 =& b(1 - \\overline{L})^{-\\omega} - \\overline{W}\\overline{C}^{-\\theta} \\tag{3.14}\\\\ \\\\\n", "0 =& 1 - \\beta (1 + \\overline{r} - \\delta) \\tag{3.15}\n", "\\end{align}\n", "\n", "Mathematically, solving for a deterministic steady state of an RBC/DSGE model is a [root-finding problem](http://en.wikipedia.org/wiki/Root-finding_algorithm). Standard algorithms exist for solving root-finding problems (many of which have been implemented in the [`scipy.optimize`](http://docs.scipy.org/doc/scipy/reference/optimize.html) module). Those interested in the details should start with Chapter 5 of *Numerical Methods for Economists*. In practice, solving for deterministic steady state of the model can be quite difficult (particularly with large models which may have hundreds of equations that need to be solved simultaneously!). \n", "\n", "All algorithms for solving root finding problems require an initial guess of the correct solution in order to proceed. Sometimes (often?) any guess is good enough. However, sometimes a \"good\" initial guess must be supplied in order for the algorithm to terminate successfully/efficiently. Where do \"good\" initial guesses come from? Typically from analytic solutions to some special case of the general model.\n", "\n", "Suppose that representative household has logarithmic preferences, $\\theta=\\omega=1.0$; there is full capital depreciation, $\\delta=1.0$; and production is Cobb-Douglas, $\\sigma = 1.0$. Under these simplifying assumptions, the equations 3.9-3.15 reduce to...\n", "\n", "\\begin{align}\n", "0 =& \\overline{Y} - \\overline{K}^{\\alpha}\\overline{L}^{1-\\alpha} \\tag{3.16}\\\\ \\\\\n", "0 =& \\overline{W} - (1 - \\alpha)\\frac{\\overline{Y}}{\\overline{L}} \\tag{3.17}\\\\ \\\\\n", "0 =& \\overline{r} - \\alpha\\frac{\\overline{Y}}{\\overline{K}} \\tag{3.18}\\\\ \\\\\n", "0 =& \\overline{Y} - \\overline{C} - \\overline{I} \\tag{3.19}\\\\ \\\\\n", "0 =& \\overline{K} - \\overline{I} \\tag{3.20}\\\\ \\\\\n", "0 =& \\frac{b}{1 - \\overline{L}} - \\frac{\\overline{W}}{\\overline{C}} \\tag{3.21}\\\\ \\\\\n", "0 =& 1 - \\beta \\overline{r} \\tag{3.22}\n", "\\end{align}\n", "\n", "Now we bust out the pen and paper! From equation 3.22 we learn that\n", "\n", "$$ \\overline{r} =\\frac{1}{\\beta} = \\alpha \\frac{\\overline{Y}}{\\overline{K}} \\implies \\frac{\\overline{K}}{\\overline{Y}} = \\alpha\\beta.$$\n", "\n", "Combining equations 3.19 and 3.20 and then ividing through the result by $Y$ yields\n", "\n", "$$ \\frac{\\overline{C}}{\\overline{Y}} = 1 - \\frac{\\overline{K}}{\\overline{Y}} = 1 - \\alpha\\beta \\implies \\frac{\\overline{I}}{\\overline{Y}} = \\alpha\\beta.$$\n", "\n", "This result tells us that, in steady state, the representative household consumes a fraction $1-\\alpha\\beta$ of its income. Using this result as well as equation 3.17 to substitute for $\\overline{C}$ and $\\overline{W}$, repsectively, in equation 3.21 yields (after a bit of algebra!) an expression for the steady state labor supply.\n", "\n", "$$\\overline{L} = \\frac{1 - \\alpha}{1 - \\alpha + b(1 - \\alpha\\beta)}$$\n", "\n", "Substituting our expression for $\\overline{L}$ into equation 3.16 and making use of previous results allows us to work out the expression for $\\overline{K}$.\n", "\n", "$$ \\overline{K} = \\alpha\\beta \\overline{Y} = \\alpha\\beta \\overline{K}^{\\alpha}\\overline{L}^{1-\\alpha} = \\alpha\\beta \\overline{K}^{\\alpha}\\left(\\frac{1 - \\alpha}{1 - \\alpha + b(1 - \\alpha\\beta)}\\right)^{1-\\alpha} \\iff \\overline{K} = (\\alpha\\beta)^{\\frac{1}{1-\\alpha}}\\left(\\frac{1 - \\alpha}{1 - \\alpha + b(1 - \\alpha\\beta)}\\right)$$\n", "\n", "Finally, we can solve for the steady state value of output as follows.\n", "\n", "$$ \\overline{Y} = \\overline{K}^{\\alpha}\\overline{L}^{1-\\alpha} = (\\alpha\\beta)^{\\frac{\\alpha}{1-\\alpha}}\\left(\\frac{1 - \\alpha}{1 - \\alpha + b(1 - \\alpha\\beta)}\\right)$$\n", "\n", "We actually don't need to bother deriving expressions for $\\overline{C}, \\overline{I}$, and $\\overline{W}$ in terms of the structural parameters of the model! In sum, we use the following initial conditions as our guess for the steady state values for the general model...\n", "\n", "\\begin{align}\n", "\\overline{L} =& \\frac{1 - \\alpha}{1 - \\alpha + b(1 - \\alpha\\beta)} \\tag{3.23}\\\\ \\\\\n", "\\overline{K} =& (\\alpha\\beta)^{\\frac{1}{1-\\alpha}}\\overline{L} \\tag{3.24}\\\\ \\\\\n", "\\overline{Y} =& (\\alpha\\beta)^{\\frac{\\alpha}{1-\\alpha}}\\overline{L} \\tag{3.25}\\\\ \\\\\n", "\\overline{I} =& \\overline{K} \\tag{3.26}\\\\ \\\\\n", "\\overline{C} =& \\overline{Y} - \\overline{K} \\tag{3.27} \\\\ \\\\\n", "\\overline{W} =& (1 - \\alpha)\\frac{\\overline{Y}}{\\overline{L}} \\tag{3.28} \\\\ \\\\\n", "\\overline{r} =& \\frac{1}{\\beta} \\tag{3.29}\\\\ \\\\\n", "\\overline{Z} =& 0 \\tag{3.30}\n", "\\end{align}\n", "\n", "In order to use the built-in `Dynare++` root-finding algorithm to find the steady state of our model, we need to get the expression defining our initial guess into our model file. The first step is to define 3 additional parameters, `KSS`, `LSS`, and `YSS`, representing the steady state values of $K$, $L$, and $Y$ for the special case of our general model. Open the file `rbc_benchmark.mod` and edit the declaration of model parameters to include `KSS`, `LSS`, and `YSS`. This line should look as follows:\n", "\n", " parameters b, alpha, beta, delta, sigma, theta, omega, rho_z, KSS, LSS, YSS;\n", "\n", "Now we need to add additional lines of code to define the values of `KSS`, `LSS`, and `YSS` in terms of the structural parameters of the model. Add the following lines of code to the `rbc_benchmark.mod` file (in the section where the structural parameters of the model are given values...NOT at the end of the file!):\n", "\n", " // steady state labor supply (computed for theta=omega=delta=sigma=1)\n", " LSS = (1 - alpha) / (1 - alpha + b * (1 - alpha * beta));\n", "\n", " // steady state capital (computed for theta=omega=delta=sigma=1)\n", " KSS = (alpha * beta)^(1 / (1 - alpha)) * LSS;\n", "\n", " // steady state output (computed for theta=omega=delta=sigma=1)\n", " YSS = KSS^alpha * LSS^(1 - alpha);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now specify our initial guess for the deterministic steady state of our general model by adding an \"initial value block\" to the end of the file `rbc_benchmark.mod` (i.e., *after* the model block!)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "////////// Initial values for computing steady state //////////\n", "\n", "initval;\n", "K = KSS;\n", "L = LSS;\n", "Y = YSS;\n", "C = (1 - alpha * beta) * YSS;\n", "Z = 0.0;\n", "I = alpha * beta * YSS;\n", "W = (1 - alpha) * (YSS / LSS);\n", "r = (1 / beta);\n", "zero_profit = 0.0;\n", "end;" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variance-covariance structure of the exogenous shocks\n", "\n", "To complete the specification of our model, we need to specify the variance-covariance structure or the shocks driving the economy. In more complicated models, this matrix might be very large. In our toy RBC model, this matrix is the scalar $\\sigma_z$. My parameterization sets $\\sigma_z^2=0.007$. Add the following code to the bottom of the `rbc_benchmark.mod` file." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile -a rbc_benchmark.mod\n", "\n", "////////// Variance covariance matrix //////////\n", "vcov = [0.007];" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Appending to rbc_benchmark.mod\n" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducing `Dynare++`\n", "`Dynare++` is a standalone C++ version of [`Dynare`](http://www.dynare.org/) specialized in computing $k$-order [Taylor approximations](http://en.wikipedia.org/wiki/Taylor_series) of dynamic stochastic general equilibrium (DSGE) models (if you weren't already aware, RBC models are a special case of DSGE models). The current version of `Dynare++` is capable of approximating the decision rules (i.e., policy functions) around either a deterministic or stochastic steady state, run simulations, generate IRFs, etc. It is also able to check approximation errors of the solution.\n", "\n", "The main features of `Dynare++` are:\n", "\n", "* Completely standalone, no need to install MATLAB\u00ae or GNU Octave\n", "* Output readable in MATLAB\u00ae and GNU Octave (and Python!)\n", "* Contains a tensor library for evaluation of Faa Di Bruno formula\n", "* Highly parallelized\n", "* Takes advantage of kronecker product structure\n", "* Links with ATLAS and LAPACK (industry standard linear algebra libraries)\n", "* Includes numerical integration module\n", "* Includes parser and derivator doing all derivatives symbolically\n", "\n", "I am only going to demonstrate a small subset of the functionality of `Dynare` and `Dynare++`. However, I have included .pdf copies of the Dynare user guide and reference manual, as well as a `Dynare++` tutorial. Those of you interested in pursuing RBC/DSGE modelling for your MSc disseration or future PhD research should read these documents at some point." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are Taylor approximations?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def f(x):\n", " \"\"\"Example function for demonstrating Taylor approximations.\"\"\"\n", " return x**0.25\n", "\n", "f_1st_order = interpolate.approximate_taylor_polynomial(f, x=1, degree=1, scale=0.01)\n", "f_2nd_order = interpolate.approximate_taylor_polynomial(f, x=1, degree=2, scale=0.01)\n", "f_3rd_order = interpolate.approximate_taylor_polynomial(f, x=1, degree=3, scale=0.01)\n", "f_4th_order = interpolate.approximate_taylor_polynomial(f, x=1, degree=4, scale=0.01)\n", "f_5th_order = interpolate.approximate_taylor_polynomial(f, x=1, degree=5, scale=0.01)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 53 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "ax1 = fig.add_subplot(111)\n", "\n", "# grid of points to evaluate function and its approximations\n", "grid = np.linspace(-1, 3, 10000)\n", "\n", "# plots of the function and its approximations (need to translate Taylor polynomial!)\n", "ax1.plot(grid, f(grid), label='f(x)')\n", "ax1.plot(grid, f_1st_order(grid - 1), label='1st-order')\n", "#ax1.plot(grid, f_2nd_order(grid - 1), label='2nd-order')\n", "#ax1.plot(grid, f_3rd_order(grid - 1), label='3rd-order')\n", "#ax1.plot(grid, f_4th_order(grid - 1), label='4th-order')\n", "#ax1.plot(grid, f_5th_order(grid - 1), label='5th-order')\n", "\n", "# axes, labels, title, legend, etc...\n", "ax1.set_xlabel('$x$', fontsize=15)\n", "ax1.set_ylabel('$f(x)$', rotation='horizontal', fontsize=15)\n", "ax1.set_title(r'Taylor series approximation of $f(x) = x^{\\alpha}$ at $x=1$', fontsize=20, family='serif')\n", "ax1.set_ylim(-0.5, 2.0)\n", "ax1.grid()\n", "ax1.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:3: RuntimeWarning: invalid value encountered in power\n", "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\matplotlib\\transforms.py:645: RuntimeWarning: invalid value encountered in sign\n", " dy0 = np.sign(vertices[:, 1] - y0)\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "C:\\Program Files\\Enthought\\VE\\User\\lib\\site-packages\\matplotlib\\transforms.py:647: RuntimeWarning: invalid value encountered in sign\n", " dy1 = np.sign(vertices[:, 1] - y1)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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79rthwwY4ODhgxowZJq+vMGPGjMlzLfXy5csb/nopV65cntjy+8I+dOgQ/Pz8jMbdisPc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\n", "text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Execute the following command in order to confirm that Dynare++ has been added to your path correctly, and that it is fully functional. **N.B.: The `!` tells IPython to send to command to your OS shell.** " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# confirm the Dynare++ is installed correctly!\n", "!dynare++" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "# solve the model via linearization around the deterministic steady state...\n", "!dynare++ --order 1 --no-centralize --seed 42 --check PE --per 500 --check-num 100 rbc_benchmark_answers.mod\n", "\n", "# convert the output into a Python dictionary\n", "rbc_order1 = io.loadmat('rbc_benchmark_answers.mat')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember that Python dictionaries store information in key-value pairs. Our Python dictionary `rbc_order1` has the following keys...." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# returns a list of the dictionary keys...\n", "rbc_order1.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "['dyn_i_L',\n", " 'dyn_i_K',\n", " 'dyn_irfp_eps_z_mean',\n", " 'dyn_i_I',\n", " 'dyn_i_C',\n", " 'dyn_ss',\n", " 'dyn_simul_errors',\n", " 'dyn_i_Z',\n", " 'dyn_i_Y',\n", " 'dyn_i_W',\n", " 'dyn_ellipse_errors',\n", " 'dyn_vcov',\n", " 'dyn_nboth',\n", " 'dyn_nstat',\n", " 'dyn_vcov_exo',\n", " 'dyn_i_r',\n", " 'dyn_vars',\n", " 'dyn_steady_states',\n", " 'dyn_irfp_eps_z_var',\n", " 'dyn_i_zero_profit',\n", " 'dyn_state_vars',\n", " 'dyn_g_1',\n", " 'dyn_g_0',\n", " 'dyn_mean',\n", " 'dyn_simul_points',\n", " 'dyn_irfm_eps_z_var',\n", " 'dyn_irfm_eps_z_mean',\n", " 'dyn_i_eps_z',\n", " 'dyn_npred',\n", " 'dyn_nforw',\n", " 'dyn_ellipse_points',\n", " 'dyn_shocks']" ] } ], "prompt_number": 56 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can access the values of the `rbc_order1` dictionary using these keys. For example, if we want to access an array of endogenous variable names sorted by the `Dynare++` internal ordering then we type..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "rbc_order1['dyn_vars']" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...since we will be needing the indicies for our variables frequently in the code below we will store them in a Python dictionary." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# create a dictionary using a dict comprehension\n", "rbc_variable_indices = {rbc_order1['dyn_vars'][i]:i for i in range(rbc_order1['dyn_vars'].size)}\n", "\n", "# display the result\n", "rbc_variable_indices" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "{u'C ': 7,\n", " u'I ': 1,\n", " u'K ': 5,\n", " u'L ': 3,\n", " u'W ': 2,\n", " u'Y ': 0,\n", " u'Z ': 6,\n", " u'r ': 8,\n", " u'zero_profit': 4}" ] } ], "prompt_number": 65 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to access the array which stores the steady state values of the endogenous variables in the model, then we type..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "rbc_order1['dyn_ss'] " ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A detailed description of each of the keys can be found in section 7.2 of the [Dynare++ tutorial](http://www.dynare.org/documentation-and-support/dynarepp/dynare-tutorial.pdf)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting impulse response functions\n", "\n", "By default, `Dynare++` simulates impulse response functions (IRFs) for all endogenous variables of the model. We can access the simulated IRFS using the appropriate dictionary keys. \n", "\n", "* `'dyn_irfm_eps_z_mean'` for negative shocks \n", "* `'dyn_irfp_eps_z_mean'` for postive shocks.\n", "\n", "**Note the subtle difference in the IRF keys!**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# variables are ordering according to rbc_order1['dyn_vars']\n", "Y_bar, I_bar, W_bar, L_bar, zero_profit_bar, K_bar, Z_bar, C_bar, r_bar = rbc_order1['dyn_ss'] " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 66 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# absolute deviations of Y and K in response to positive productivity shock\n", "plt.plot(rbc_order1['dyn_irfp_eps_z_mean'][0,:100], label='$Y$')\n", "plt.plot(rbc_order1['dyn_irfp_eps_z_mean'][5,:100], label='$K$')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('Absolute deviations', fontsize=15, family='serif')\n", "plt.title(\"Output and capital IRFs\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Vb2W7C/h0g5Sk8OqRhQsXVnrfhTiOw7Vr1zBr1ixcvnwZz549w6FDh7B48WLUq1evxAYC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\nEMJ0GLQ7YN68eYSFhZGXl8fEiRNxdHRk2bJlAISFheHn50fnzp3x9fW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"text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default `Dynare++` computes IRFs representing absolute deviations from the deterministic steady state. If we want IRFs representing percentage deviations then we will need to code them ourselves..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# percentage deviations of Y and K in response to positive productivity shock\n", "plt.plot(100 * rbc_order1['dyn_irfp_eps_z_mean'][0,:100] / Y_bar, label='$Y$')\n", "plt.plot(100 * rbc_order1['dyn_irfp_eps_z_mean'][5,:100] / K_bar, label='$K$')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('% deviations', fontsize=15, family='serif')\n", "plt.title(\"Output and capital IRFs\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jEEIIIUzL5ofTAZ48AVdXuHoVcuc2+e6FEEKINJPh9LdwdoZmzWDtWq0jEUII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\nXvd1lS551j+zeoqZ9ImL1szdHebOVdupU/D11/CnP0FODow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EECZKirgQRio/P5/IyEjs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\nERdCCCFMlBRxIYQQwkRJERdCCCFM1P8DPZLtGry1oPMAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 68 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot the responses of consumption, output, and investment to a negative productivity shock." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# irfs for output, investment, and consumption in response to negative productivity shock \n", "plt.plot(100 * rbc_order1['dyn_irfm_eps_z_mean'][0,:100] / Y_bar, label='$Y$')\n", "plt.plot(100 * rbc_order1['dyn_irfm_eps_z_mean'][1,:100] / I_bar, label='$I$')\n", "plt.plot(100 * rbc_order1['dyn_irfm_eps_z_mean'][7,:100] / C_bar, label='$C$')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('% deviations', fontsize=15, family='serif')\n", "plt.title(\"Output, consumption, and investment IRFs\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/E3DhwgVUrVoVbm5uxg6FEEJIBVDh+/y5uZxeYmCzS16NixcvRmJiIlavXq2X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\n0W1KDaP5m4UZnvnI2Hxk7BnkbG0+1fw58gcA4Mp8ZuZ/8eJ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"text": [ "" ] } ], "prompt_number": 69 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "Using the above code snippets as a guide, plot the IRFs for the real wage and the labor supply in response to positive and negative productivity shocks." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# insert your code here!" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating simulated data from the model\n", "\n", "An array of simulated time series data from the model can be accessed using the `'dyn_simul_points'` key. Rows correspond to endogenous variables, columns to periods. Appears only if `--check P` option was passed when the solution was computed. The following code will produce a time series plot for $Y$..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# simulated data \n", "plt.plot(rbc_order1['dyn_simul_points'][0,:])\n", "plt.axhline(Y_bar, ls='dashed', color='k', label=r'$\\overline{Y}$')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('Output, $Y_t$', fontsize=15, family='serif')\n", "plt.title(\"Time path of output\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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o8AgGg9i3j/9/0nVGIQFQdTnxUGWcXlBkQEHBYyAyUFub2nwoKCg0HigzgYKCx/DSS8Cv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\nO+/ElClTA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"text": [ "" ] } ], "prompt_number": 70 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is a time series plot for consumption, $C_t$..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# simulated data \n", "plt.plot(rbc_order1['dyn_simul_points'][7,:], color='r')\n", "plt.axhline(C_bar, ls='dashed', color='k', label=r'$\\overline{C}$')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('Consumption, $C_t$', fontsize=15, family='serif')\n", "plt.title(\"Time path of consumption\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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z7J+Tk+l8+8JC6k8HqD89WNEqBljgZUhIcLdlk8Dr2EC4GOBwDMIkYgB1dZ77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"text": [ "" ] } ], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise:\n", "\n", "Using the above code snippets as a guide, create time series plots of investment, the real wage and the rental rate of capital." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# insert your code here!" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Error analysis\n", "Passing the `--check P` command line option runs a random simulation and at each time point computes the model's residuals from following the approximately optimal policies for choosing consumption and labor supply. Ideally, these residuals would be zero for all $t$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# consumption euler residual across time\n", "euler_residuals_time = rbc_order1['dyn_simul_errors'][7,:]\n", "plt.plot(euler_residuals_time**2)\n", "\n", "plt.yscale('log')\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('Squared residuals', fontsize=15, family='serif')\n", "plt.title('Euler residuals across time...', fontsize=20, family='serif')\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6uyQCf6e4WBYG5eXeLUt9p6gIiI+n/0+f9m5ZjEZYErxDvRcJDz8MpKVRTEJg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\n2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"text": [ "" ] } ], "prompt_number": 84 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Passing the `--check E` command line option calculates the model residuals on an ellipse of the state variables. The method calculates the residuals at [low discrepancy sequence](http://en.wikipedia.org/wiki/Low-discrepancy_sequence) of points on the ellipse. The \"size\" of the ellipse is controled by the `--check-scale float` command line option. This sets the scaling factor for checking on ellipse to `0.5 * float`. Default is value if 2.0. Both the residuals, `'dyn_ellipse_errors'`, and the points, `'dyn_ellipse_points'`, are reported." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# plot simulated data in state space\n", "simulated_K, simulated_Z = rbc_order1['dyn_simul_points'][5,:], rbc_order1['dyn_simul_points'][6,:]\n", "plt.scatter(simulated_K, np.exp(simulated_Z), s=4.0, edgecolor='b', alpha=0.5, label='Simulation')\n", "\n", "# plot the low discrepancy set in state space\n", "ellipse_K, ellipse_Z = rbc_order1['dyn_ellipse_points'][0,:], rbc_order1['dyn_ellipse_points'][1,:]\n", "plt.scatter(ellipse_K, np.exp(ellipse_Z), s=3.0, color='r', edgecolor='r', alpha=0.5, label='Low-discrepancy ellipse')\n", "\n", "# demarcate the deterministic steady state\n", "plt.scatter(K_bar, 1.0, color='k', label='SS')\n", " \n", "plt.xlabel('Capital, $K_t$', fontsize=15, family='serif')\n", "plt.ylabel('Productivity, $e^{Z_t}$', fontsize=15, family='serif')\n", "plt.title('What is a low-discrepancy ellipse?', fontsize=20, family='serif')\n", "plt.legend(loc=2, frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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16tQp32uDg4PljmfMmCEeh4aGiv//4YcfaNOmTeKxl5cXrVmzhoiITpw4QURE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Ep2uHCBSjYS8fv4MLbdogV2/07SdHCg992oUUXPXSoolPZY0qUXRe7DoEEkvJgYGkYnT9KAatnS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\na9euVs+VkpLi1LkKgiAIQkPGZYQ/ACxfvhzz5s2DT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"text": [ "" ] } ], "prompt_number": 74 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# consumption euler residual across space and time\n", "euler_residuals_spacetime = rbc_order1['dyn_ellipse_errors'][7,:]\n", "plt.plot(euler_residuals_spacetime**2)\n", "\n", "plt.yscale('log')\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('Squared residuals', fontsize=15, family='serif')\n", "plt.title('Euler residuals across space and time...', fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False, prop={'family':'serif'})\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4gWDlSmD//nDT3LEjuLh/+sn7bNs2oKAgmPSOHwcOHw4mbhY//ggcO5b4bNcu\nYPPmcPNx4EBwcW/ZAvzvf4nPjh0Dfv45uDSDbJc0fv0V+OWXxGeEAEuWhJuPAweAI0eCi3vrVu/z\nNWuCSQ8A9uyJ1WNYHDsGLF3qfb5sWXD5OH7cGzchQFFRMOkBsfK42bYtuDQLC4F9+4KJWxvkBAIA\nAUaQK66YJx124kRChg7l+7ntNkKuuy7x2XffEeJXi8ePE7Jmjff5rl3++QIIWb/e+6xNG/+wbnbu\nJGTGDL6fe++llwcg5OhRdrgjR7x1IwpAyLhxic86dPCvVxq7dxPSvz/fz3//yy7jV1/xw77/fux9\nygIQcuWVic9GjRJrO0eOeJ9/8w0/3LZt9LhPOYWQd97hh+3ShZDly/l+aFSrRkjVqonP5s5Ve4+E\nEJKbGysHD4CQ337z5uPii/nhVqwgpKAg8VlxMSHHjvHDXXuttzzFxeplXLSIkL17+X4A7zu77TZC\nOnbkh5s4MfZPlhdfZPePuXPl45s+nZAvvuD7ycwkZPjwxGfPP+9fr6tW+Y9pNNatY5fx4Yf5YfPz\nY+/cSWFhbHzlkZNDSIsWic/WryckK4sf7ptvCGnWjO42b948MmLECKJrKj/hNARAHqpXj1Bdfv01\ntvJctAg4dCjRbexYYPx4fswvvQS88kris8JC/xy9/TbQooX3ec2awPz5/uGPHvU+++03fpgLLgBe\nfDHx2eOPA1dcwQ+3ciXb7fhxttu2bd66AYC+fQERjaFbK7F3L9uvvXKYPh14881EtyVLgNde46fF\nW835raovvxxYuzbxWZcuwK238sMBsZWeExEtz/DhQLly3uft2/NXMu72bbN1KzBvHj/N+fOB//43\n8dnSpcCnn8a0b6x09+zx9gda23WyY0fsXU+Z4nWbNw/4/nt+eDtd929eOwaAM88E/va3xGcvvgiU\nLcsPR+t39sqWt3retQuwLO/zjh0BkUvm8vMTf3/0UWwc43HDDbF/TgoKgMGD+eFYbQfwf59Nmng1\ntH36ANddxw93/Lh3xb5qFT8MEOt37jGNEHpdO3FrJJ34ja116wLvvpv4rGdPoHZtfrgtW7wa35Ur\ngYMH+eEWLADWrfM+/89/gLPPjqBDhzx+BBKcgAIBu2OefDLwl78AnTr5T/4y8fLYuNGrKnayezew\nYYO+vEyYANx8M/D557EJMwhk9gTfeQeYNi3WQXVtc7z8cmzgvvpq4Jpr9MQpg3uwWbAAmDUrJlTu\n3Kknjc9iXE91AAAgAElEQVQ+i2L8+Nh2img+dOKO+6qrgIsuAipXBu68U186desCU6f6T1I8ZOqh\nqCg+qf36azTBzZ6AfvqJvlUH8McAllu/fsD69exwPEHbRte7/uqrmPA1alSs7mmolLFGjdh4s2kT\nTaiOCuVNVxmLi2P/r10bE0ZoqJRxzRpg+/bY37t2JbrZW2VHj8bT1wUrP927Ax98APTvry+tE1Ig\n4GG/SJFO6EZFIGjalC9V5+cDp53Gj0Omozz7rFcz4Oa//42t9mjwysjKx5Ah3g5Cw73KEYmbxurV\nsf95eT1yhC3pq5SxenXg9df5+brjDuCNN+TjprF8OXDLLXw/ixax41Qp488/x98jL6+01YoKIitr\n1T1rVv6vvRZo1Igf9owzgNNPF8+PXx7fegv45hu2OyFA8+Z82yeZtrNrF/DZZ/xwX3zB1oap1Pnu\n3XyNBSGxNHm2HTJl/PnnmDaCl9dPPvGu5JPh9NOBHj1if7PyWq4cMGwYOw5ZoWf3bn4Zi4v1Lgz+\ncAIBC7tSe/f2qr7ffjvmrjo48cL5qeCceZOFFa5Hj9hqzwkhwIoVYoNzJBJJeP7SS7HOngy6GrUd\nzx130FV4l1/Ol+BZ5d+zhz/gieRfpoz/938RppudR5rhl9sPy+3jj71+cnKACy8UzyMN3VqL336j\nx9m5M3/SY5X/u+/iq7waNSJUP0eOsFXKQQgvQEzIck/Qhw/H88Gq1/x8r4r/oYfi71HlfSRrOOhN\nMwIAOO8879bQhg2xd0IPx+aHH2LaCBpBCpoiBtcrVrDd3GW0fy9aBDzzTKJbUVFM88JDZHtEBiMQ\n/I7dQGbM8O5B8/Yx7ZdRVMTeGlBpmFOmxLYbkkFm9bh4MdCqFT++uXODU1OzOgoP3mrNbe1uM3Mm\nf+/96FF/lThvAnK7HT4ctyzWVUY/N8uKa1FYXHwxfaXv3o9nxS/qxvMrMnCzrLIXLozto/PS+Ppr\nvsAt05aLi2N9hEZQE1CjRrHtBh716gF//7t83EFqZWj1aj9za2YvuABo25Yf3/DhwIgR8vkJSniT\nZeFC9tamnY+8PO+4I9KuiouBDI2z+AkpEKSiIdx7L1Clir40Bw8GRo+O/c2agLZt07dfZUu+vLza\n+6A0GwKRMrrLcffdarYcIqi2gV9/9UrqydC3r7+x0ZQpMbsIJz/8EAXAF3p45WDtgTuRmdh57N+v\ntsqzCapPdugATJrEdi8oiArH9d//xgwAeXk9eDBm6EVDpYw7dsRWwgC/XnlbcTIQAvzjH/5+5N2i\nSb3jhx8G/v1vcf9+/cNPYLZX3TzhWEbwffPNuPGz7gWV0RAIsn17TB0lWlnJrtZ4A3BQA16DBjGD\nLJ7Rog6SXQGxVs9jxvCFHiC2Hzd7dmySFrlfIkhDO1Y5eKxbF983ZYW7/nqvxbtIPtJlBTRyJHuV\nZ7N9e8yg7f7748KPSDmShWdNLmuMyMLO/8SJMUOvMEh2XGPV+VNPiZ2WOHjQ/ySHLLqFSZ4b7S4J\nN7yTTu68OtOSKUey45URCASwLKB+ff7xqqBWMgUF+i+f4Kngdu2KaSZ4A58MIitStw2BLMePe4/a\nsN7HI48ATzwRU6e5j8Kpon+PVE+4u+6Kr7R5NgQ2yQpoPETKePgwcNlliYZirHA33giccw7w6KOx\nd+rMR5B55bm5bQiS3aaytXUjRgC9evmHkyGoNmezaFH8PfLyunt37P+8vNjRTTEioh6lEXkfouFs\n7Do7dix2ekgnMu9RtBxGIPDBrki/851B0KBB3KBH1wpIxGjKbjROv7r3rG0KCry3CMqU8f77gYoV\nE58FubK3kZmAFizwGtjJGA4WFADPPScX/umn6Xc5sPIYpIZAZJL95ZfYsSeR1VHYeXXniZaGaJtz\n2lqIlOONN4APPxSLWzQ/fm4sYzfRMnbqBEyeHPtbZCLl3eoZlPAyaVLsLL8frHfUs2f8pJDIe/z0\nU+DSS/3TA/Rqoln5YbkZgUCQZPZIFyzwGsCIDFxHjnjVUTID3tVXe1cXKlKlTtwTUJcuUTRurJ6u\nyIUjuoQXmn8Ru4v3349bsauk99ZbwG238f3wysizIWDlZ+VKsbse7HQ3bwYyM/39O8M4/6bVI0sI\nVbWFsCkuZqtwRQwXaezaFfVPGLEjgbyJSKQcInl01qusxq9CBbFLnHjvw94WEXkfcn1PzIbAr8/f\ncIPXvkemf3zySexelGSQ2TY8eDAmhDjxE5gnT45rQo1RoSZ0rMy7dIkdzdKRDxk/06errS5ksNP8\n8suY4UyTJvEb5kQ6GG0vX9ZiO5nw7vzwuPxy4L77YuULc189mRWpaNzuNM480/9GOGe4NWvEjVJ5\nE7qOfVA/t6efBqpVCyYNEWQmS1p9iNbzjh0xDVr58v5xuvG7Yc8PnrCgC0KAbt34Bpg60nD+78Se\nPPULPV42b44JITJcd5331IjREGhCVWJ37iG9+io/PhHJX0QFV1gYuzI22YmEt2Xg5txzY4PPpk0x\n63q/PNrlyMqKMP2I5E1nGf2YOTNm4ZudHVu1s9KXSVdmC4cWXgTbhkBkZX3ffbEbOAGxfWARRPJq\nl1HVoEpGY2N/BOrBB2PH0GTToNVHrVoRbtjffosLAjLHJ3nvjIYd9+LFsdsDly71r5MgVNQ8zY9M\nvF63SELcc+bEblR1G2CqbHHKEobQY1mxrQYRAY1VxoIC8a1BIxD4wBu4Zfj1V2DgwPhv1UYkIhA8\n8ggQiagLHTRkBnWVjvK//8VVmyLhjh+PSczJCgSq72Hbttj/Iu9DdlB3Yln0mzCDsqJ+773YHRGA\n3ArIzs8bb/jvlYoIQSx/LGQ0ebafUaNix9BE00ymf9SuHfv+h9NvslsfNOxw9jE31Xo9fjxxASNC\nYWH8YiOZMUC2XkUEZhF41v3uZ/b/06fHTk8Acur1ZGw6Zs2KGwiLhHOXo2bNWL8G+HVlbir0JQ/b\ntkUB+Dds5/W9ogMeC9WBwi2Viw4GIqsSGWQGvIMHowBipxtEPupjM39+bE8t2RW6qh+ZFZDNmjVe\nmwfeqQ+bZO+H+PHHKNNNpD3JDOpvvBG3phbdBrCseL3IaKV4HDki9+lymTIS4jWE49kQ2OWwbzUU\nEbSS3ULh9WWRODdsSFzAiISrUyd2O6vTr6p1Ppuo54mqBo2QmEGyfdSaN17ZafzrX/H7FYIUekTC\ny7QN+7sovPexdm0Ue/bkiUfqwwkpENSrFxHyedFF9JMIKhOHmx49YvfRA2KDiOrK1K9h04wjnYho\nU3h5tD/MJNPBZIzRaOHdbo0byxkLiXR0+/8//Sl2t71o3myS3TKQqU9nvCoGRrJ5td1E3r1Mu/rr\nX2M37/nhHtRF6ur994FKlfz9iabpxP2Ml5/iYv97Q5LVNDjxa3NHjsTvUJGZLHnxFhSwbVlkxgAW\nBw+KGc/y6kOmjnftio/lMuiyleJx6qkR1KyZpy2+E1AgiJPsijKZVffs2XENhB3Pb7+J3SBnw9Ma\n2Nhux497P8sLxIwjZ8+O/S0yyYqkVbFipOSZSgPX/TWwzZu9d07Q9rVlyuisVxnsNOxwKm3IsoC6\ndSMJz665JqYud8bJ28MPUgtjo2vLwC7HmjVyl0/x+of7Pdo2CM781aoVYd6h4G4zIoKWOx+jR8eu\nrXW6PfMM+0ZT3kJEdUUq4zfZ1bP97Msv40cYY0Q8fpJtnzyNjTsNWQ2WO87Bg2MLA7cf56elU2Xv\nYGwIJEhW5SOCiPrYzsdllwGnnioep0znmTYNaNGCHo/IpMYb8GRU1EeOeD/1KiJ0iNo7uM/2y4RX\nmSydfu2/t25lf3RERu3Ly7N9uZUdz5tvxu8o0N2uaWUUQeTuCxqWRT/1Iaodk+kffhq48uXpe73u\n8Co2BPfeG7+EyYb1QR5afLKotmu38CMjsN9wA3DTTYlxiuRDVSvFivvDD4Fvv018RsuPjI2NDU2L\nXFSUeC22bNvlIfM+jEAggPtFzJ6dKM0BcqpyN7/+yv+MJwvaDYa0NOxGK2P8pno7osrq+cCBqCe8\nzWOPAc2a8dNUXQFt3co+25/s6kjEr/33qlXxG9tY/pOZLAFg3boo042WN7cfmW0m1vuoUYP/rmgD\nrugKLDs7Zuwlm1da+n5pAXSh2LYhsPdqabi1EKp55flhpcmLRyZ9y4pdq+wXTkUgmDQpPjGyw0U9\naSWjfQW89dGrFzBggH8aKmUMcwuH5teOZ8WK2FdlV62K38lhBAIJ7IqaODHeaFVWQO44Tz45dnWn\naPoyqk3RcO7wvAausnrety9ufSzSwdyCyaFDXsmaV1YZG4Jksetq+nS5j6aovA/ZydLtV2ZF6heO\nBSuPu3cD0Sg738kOeLbBnuwk6xaYV63yT5cmoIkgIhDIaNBo+GkxnPGwfvulsWJF7JsTvG8yiMRD\nQ0VjwzqF8/HH/KOeKlsGNA2BCCIaC57fZLWE7vz36BH7hPQZZwC33BJ3MwKBIMlOILzwu3aJxyN7\nzI3WwdyGSO5GILOqEJlIGjYELrmE7t95DwFrMOjUCWjXjp6+M6/u1QkvjzREND2svD7wQOyfLHb4\nwkLvJ4RFBDQRmjePCOfDiXvAW7Eidk+BaDzu90H72p5bYJUdkETaLssvLX2eGp43OdSuHWGm4c6b\n6lFVkclSRCDwy6df+pYV+8YC7bPgMn1PZALz1lVEWCt18cVi3yxhCVrdusVsUWhuznAyqApIrAXE\nt9+q2co4sTXU5qZCBXirNNaE5A7HCq/CwoXxq1BFBIIffvAaIrnzJpNXp1/WQFdYyLYFoKXhHji/\n/z5+LE00r6zrWmXUjDI2HbJpuTv4TTfFrrWlwdoyuP9+/lfU3HlOdkU6aVJsG0c1Dd49E8lsGbDC\ny6QhInyJpHHwIHD++XQ3lobg2mu99aqqsRGpD5G2TxvL3O/DvqpapC/z0uCFk8mrTiwrdumRbWBM\nqw+3ZuHgQe+xYpHxyul29CjbjUb79mKaSV5fcr5HoyGQhLYCkplkaMi8BHdaL70Uv0iGNqi5VaI8\nbYRIOXSvgOx7CJxxi2o63Gk5VzAnncRXF8oMNLxVr8jg7IQ14Dm/l+4ORztlYFmxr/3Zluc8aDYE\nQMyo0t7z5qlEZbY3eO9M5LO/Tiwr9gEZ+3seKgKCHzIqahuagPbbb1EAsfsJli6lh3O/R/v/N94Q\n+4wzq/yFhV7DURkBh+fG80P7dgXLjui557zX6PJgjyVRTx55Gk0Vuy4n7jLy2veIEd5jxe5wPAHt\nhx9iqnxeeJqAJvOtClr6RiCQQETCC0OKZUncRUV8wURlT443iBw9Gjs6Q4O3R8paWYvm1W607oGC\nNlk7f2/fHlN1u1EVekTy6k5DpB5o+6DJDnisNG1efTWuuZE1+HPnkSc82YgIaO4Br3//2A1/x44B\nXbuy86g6kKnY5vDq6tgxr7vtxhIInH5YafMYOxZ49ll6HlUFVpXJkhaPnY+nnwbGjYv9TdtqcIdz\n53HvXu+Wmo2qzZOITQfPvsDtRrsTQkZjs3cvW/3PazMy9gm0uipTJu5mBAJBZAd+G57qTMYohEVR\nEb/z81Z59hEfN7zBYP9+4N136XnlDXisuGn3ENDyajdakQ7mzJvfnjcr3IUX8i+asvG7CtSdR1YZ\nnQKB7Kr16NHEmzLd0GwILMu/7chMlqzfzmc8DYFfPvwu4GFNZF9/HTc4pKXhHtR5dc3Lo/0tA6eA\nLhPeJjeX7Ye1pXb4cFzVLHOSgQdvRSpiTMgTLE45RTyc/f+sWTFDRto9BKonKUTavsi2CK2ubY2f\nzPugCZM2vPR525ju98hbbBkNgWbWr/d+ZMPG74UeOwZ07uyfhvuFOgcgmQkIiH2shxYn75gbr9HK\nWFHLdjB3x6QNBjJbA7QBzxnPV1/xv9POi3/RIv88uuvKOcjKrEiB2M15K1ey88YanEUFAnc+ioq8\nX+wTGfBkBQJnGf3es407H2PHAp9/nviMFhct/6wbK3l15axTNyICgf3ZYd6ETHuPrPqn5UXkXfFW\npPZ7lGk7vDRo4dxCz9Gj3rKI9g9C6Ed7bSGcJ9Szxh13Gm6qV2eHY8HTLvkZ3Y4eLXZHDC0fzsWW\nMSqUhPdiCwrY55D99tf97iLgbRnw1Og8oynW6o7XiFVXQJYVq5/KlRP90u4hEBEIaGUQWcG6n7PC\nODunrPDSqZN8uGS2DPxWFWvWRD35SUZDEIkAtWoluolMdjSBgCewJmNbY3PsmFi7ltGg0erbtiGw\n+wdtIhfppza8CcjtRmurIkL51q3ABRd4DX79EPkImcpWjDMcW3iNeuLx2zKYPTtmp8EKx6sr91al\nExHtEu990N4ja5XuJ5Dcey99S8WtRaCVw1lGnRqCMvqiKl3YL+noUWDZMrofmjQqMqiz0nI3Iucz\n3grI6SajnrI5fpwdzu+K3Zo1+WmwBk7A2zF5k6WzPkTr1Zk+EBuA3FcY0/y6y+H8TKnIgGfnj/dF\nQ7+vHbLq228FRFuROONiDXi2BoQWjjco8gQCluGk/b/ICouWflFRbLBk5dFdRhGBmdemZDQEomWy\nYfUPnpaQl8Zbb8W1J254Ggq3QCArMLPS4j07diy2NULzw0v/wIHYra40RGye3O2Dp7EREQh445Xd\nH0UEJHdeAODuu71+WH6d8Tk1BGbLQBJew+ZZe/pNTCyDGb/0k9kH9hvwWIPBkSMxFZUblQGPZkNA\nC++2IRDRhhDiryFgbRkcPZp4nSgLdz5q1/amIaKi5qn7/FZAfhNQs2aRhLRsnEKPbNuxkVmRqtoQ\nON1ZsFZAx47xbQhYZfzoo8Qb3Gj/O7HvITh+3F9Ak5kkRVaLRUXA88+L59XGPcE64b0P95aBE97E\n44Y3EdOEng8+AJz3EIgIaLx7JUS0WjwtgIqGwIm7ruytOJphIU8g4b1HVjxOgrIh+ENoCHgvXUQg\nYKl8WBfvsDqYcz/PedOUOw1eo2UJBLwO4h7UnX5VVKJORDQEvMFAZKXhzitvMOKha4+UJxDwBjxn\nfdJOUdDScIcvKop9IMcvr7x2ISMEJmNDkIyGwO3mJ0QCMat4Vtx+GoIjR2K2C+40eNuGyW4ZuD/h\nK5JX+/ZQGiLvkbfaFREmRYV6gD62ivQP3las3zYuwL/ng1XGhx9mp8Ebf48d8+/LtLzy3iMrHidG\nQyABa9KkwbpUAqC/UJaVqEh+aKsumRXp/v1xQxuRVYWIhbHKCshpQ8A74pOfL55XZxoyAoENr4y6\nVkDudyUrENhs3EjX1jjDrV0bpbrT2o4T3naTO5yMQGDf/ubEb0tNVSBwTiQy/YP15UJ3eBunDQEL\n9zt25/XPf2a7OfNBWz27w4msWmU1BO4tg6FD2XHLjAE8YcFbxijTrxOR1bPIMdB//Yvth3WCa/hw\ndpo6F5Q2IgIBT7i3tzmLi41RoS8yHYz3Qnn76yKDHc/YhpVXgN1ohwxhp+W3AvILJ6IeoyGzIuUJ\nWM68siRuO+633vK6qRyrEskrLRwvTZEVkNNmwY2fTQdtsnQicjER7324ScaGwE9rw7ITcJaRV4/u\nMjoFAplJTmTrhzUB2ScMWLDanLNeRd6HLoGAhluwc6fft683H8407JM9yWoIbEQ0BDREFoIqNgS8\nxYHs/GGHpx2Pdvtx58fJa6/F3YyGwAeZl626ZcDTLNjYndfdiGmDgYgKzrm3xloJ0ibTZPaBndh+\nnN8ycMcjorqnqeDs/198kS0Q2B1s2zavm8jNXzJbBrT3IbJlYMObyNwqTWdadrjXX49Q86qqTmel\n50cyW2onnyyWhq4y0iYS3gRUp07Ek54bmS01Gu++6w0H0AU7kffCW1ny+rL7PdLaHEv4cR7llBlb\n4/UaYfp1orJlQCsHLw0VgZk2Xtmo9g+RrR9ReyAjEPggoyGQ3TKwEVH5PPggPR+qGgLnRCKzApJp\ntLzGT0vDvlaZl77MnvWPP/rH40RkW0QkHhuRFZDqloGd18JC//TdW0M2flsGIgOeTP9QFSbtjyLJ\nQBPSafXJOmVAWz27y+g8rsc7EWIjI/TJ9AHZLQMbVQ2BqtDjhte+w9QQzJ7tzSvPVsomWQ2BG1Ub\nGxkbAr92ZQQCLnnIz48C4K8ubEQmy+XLveHdL5T3UmRXByzJ0Hl3PiuvtDypDgbujmm7Ob9lEI0m\nuolI3LwtA975al4H17VlIOOmespA7D1Gqe5+5ZQpo4iKWnXA4wkEfipRP4GZdTSTN1nS6mHnzqgn\nPTc8Ydb+FgEvryw32UutbEQEghdf9LrJ2BHx0pdxo9kQiAjMPIHAzivti4gqAoGqjQ1P6OFtqdnw\nBAI7/Pjx7PA2mzdHsXVrHtuDJCekQGAfJ+K9SN7emntCXrDA66ZybIQ3GPD2rG03mvUsr9HKGBV+\n/LE3HhUpVraDuZ/Zhoi8vNLgCXZ2PdgGVSIrIJ5gozqos7YMaGnQsCx/GwJdxw5tVC8m4r0rd3ru\nMvsJzAUFdDeeDYGqnQRPYKbdpMfCnQ/etiHvnYkIBDRktgxk2g4tfV7/cPvdvDn+jCcQiJwm4pXR\nxq1BExmvaPAEAhsZDQEtLXshystPw4YRNGqUx86EJCegQCDXwVTvIUhG5UMbDJzYZ7Dd+RdRidIQ\nWQHZK30nrEtFeDYENEQGZ5FyyAzqtAFPJB6RgUJmy8C5PWAPBrxvocfjjCTEZ8dJE6acTJxIz4cT\nmf6halQoYkviTsuGZlQoonmStSFw3kPAwnZzX21NS8+92KDllTbu6NIQ8C7DUtESimiXePHFyxiR\nCs/TELjz5Pzt3v6llUPmaKXIForI/DFlijd9meOjfnVttgx8cDc6WoMQEQh4A4UugUBG4qbFqbIC\n4k2WTkSkWFZ+eG609yGSH9lVnl84Xl5F/IsIBE6Nh4hRI6+MfkfgaPEEoSFw54d20ycvzmS3DGzc\nZZQVCGS0hLYGjYdMH+BpCXl1J2JU6ETmlMFzz9Hz6kRVQyASXsaokIbIlsFTT/nnwx2etziQXVCK\nCAQy/ZwQIxD4Ylfg/fcn/nb+bf8vYlTohLVlIDNZig54Io3WPr6SrA2BO00atpvThsDtJrL6d/oR\nKaN9M59qGXmrCr+8OnEPeKrGaO64nR2aZ0PgHnxUVbu6BAI7fadAoHL5E09DILMilVlZAnI2BLx4\nZNyC2DJIVp1uh1u92j8eml2V2807WUaZfmnIaEGc5XC/RxmtpaibGxFhUjScDavNsfJqBAIfRF6k\nTaq3DJJtmO5vqtNI5uIVUTcRFRxPIBBZHalqCNxlFJlIRQQbWa2EioaAN+Alu7qhtS+ZMvJU1Cpb\nBrQ0ZTRGtPqwt2d0a5d40K7e5Qk9bj+090ETJNyEsSiw4RmNqubVRsZOwplXkaPH7nh449VLL7H9\n2Mj2DxE3WSHUCAQ+iKwIRVQ+vAGP12hlVKIye1k8kl3licRju23dGmG6ya5IecKCX16dyAh2IisH\n2pfW3PmX0QIAYpNl3C3iiYclvInsWdPCue/9p/lRVYnyyujXP0TP6IsIkfY1z7T81K0bAZAagVnU\nINX9jFYOe7XOa4+6BWYa7nLI2hDwtgx4Vy+7/ajklebmvmmVhur8wRt3Zcbk4mJzU6EvMgIBbcvA\n/pqY6h6QG3c8oipRkUnS7ZeGqp2ETBoyK1LegMdDdQWksvfOc5MxKnQiJxB4YZVRVrtkp2Hf3e/0\nQ7s5koVMOZzxqmwZTJumlg9WGk5EThmIxCMzAYluGbjbHK2stqW+qg2B7ATk58bTLtmfmuflVfU4\nL2tbRFaYFKkPnsDM0wSqjAF+AprREPgQxpYBL5zfgEdbHdDUjDKSui51IY94mlFmPCJqeJ5KVHYw\nSkYlmuwKSPVbBjy3eJxRjxtrwEu27chuGfAGbpUtAzd+ly/ZiLQZXjw7dkQB0Msho53jpeF2o00k\n9rNHHvGmKaIhsAljy0BGIHDaENjP7C88Jt8/kkNmDJAVCObPj/2v2j+MUaFmZBp4ECpRv/RpA96X\nX7LjERnwVAcDkcYvgkgHs4/f8FZAvPRV7yGQKaOMIRItPyNGsONJtu3oVonSfouU0b65McwtAxoy\nQo+sOt3WHKrsr9Nwt3OenQTvfahqKHhtJ6gtA1V7h2TtRtxutKvOeQKWTP+gjTs8LQgrDVreWGm6\n/RqBwAeRCcC+Vph3ykDGKITXwXgdRXVQZ/mloX+PNMJ046ngfvnF60dmwKN1MHvrJhX7wLJGQyID\nHq+OVa5nVh3weOE/+yz2P6+MMnVsp/Hzz7H/w+oftg2BqvGXSBpuN5ExgCcwq66eeX1AVkXNwj0B\nO20IRD7Yw8orLW8i8Yj0M5ofmW1D1QWlTqNCY0Pgg8iAZxPGC7V/26pdXn6cyAx4tLzOmBH7X9f+\noepqjVUfzr9FBl6V/XVe+smugHjvkdd2VAdDFcFG5H2oTkC8MvLwE9hpKnNePKoCgW0YHOaxQ1qf\nlBHQZNuOyvcakp1k7S/xidxU6ERFna5Ksltq9ntUPWWgUwtiNAQ+yKiIdW0Z8CRu3opSRhrloUtD\nIJZGlOlmf92NHs77W2bLQEYgENHY0BBJ/7HH2H7cftXdor750aVOpw14O3bE/lcd1HgEtWctkyYA\nvPdeFEA42iW3WxAaAlr69nsM08bGRvYegiBWz35uImWkCahffRX7P4j5w0/D7E7DCAQ+8BqCu/Jk\nLyayj2rJqOCSlbhFCEMFp8uNZzQVhEDAKqOtoublVZUw9khl7B14cdLex5NP+qfBW5Hy0tTd5saM\nYfsRiSeM/uGOR3T17O4fqqtnmXEmiDKK5Id3WkIkfZE03PHICj3uOIOwQWO1B/vLsm6/RiDwQcRI\nx0b1SJ5Mo0m2gy1ZwvbDStOJ6kkKN/G8RqTiERnwRNS/ujQ9ya5IRUheQxART4yCXcaZM1XTl/cL\niAkEQa26edDLEQEQxCkc/3hEjQptN9qtq35pOJHRBKpOyGwtSEQoDds2RVcfFKkrERsCnjArO7b+\n9LkiyOEAACAASURBVBPbzcacMtCMzEChf7LUZ4hkp2/fi8ALp2vLIAwNAa2DPfCAfzwyluK8Tqw6\n4CUrENg3n+lSw+vSPPEEZtm88r7kyAoXhgZNl/2Jrj4gOu7oqiuVfm5by8uGs5E5+eNEtx0NDbuu\nPvmE7UckHl3zBy+cXxmNUaEPn36a+NtZocluGbAIQiXKg3VUiIbua0tl7ybnTch2erxvh9vIHDsM\nYkUqgy4bAh5BbOHICE+092F/mtiNc+BNxTYV3W8UQDgTEHv1HNykL+rmhpe+vcKlwdaCRH396nBz\nE+QCxkaXfZYT2YWH0RBIorplIPNi1q9npxHEitS9EtMlEPAIYkWqa3LQ/XEjGkFtGaiuCMN4H6k2\nKlQto1vQ17WlxsvP+PFsN1WBINktHFb6PHjxfPiheDjVsTXVNk/uL1uqbhmoCgQyiz2zZaBA2AJB\nGAOeTDy6NATx+/0jgrmix6kqEKhuGfjlx8kLL7DdVO0kZOJx2xAEMeDxvsPBzo8XXSugIMroNsDi\n2RAEMai74U0kuvqHqoAWVDxOG4Jkt6JYbqoaPV1jqy4NMy+cEQg0w+tgYbzQMPZIw9jn4u0Pq6rg\nZFbvMlqQDRvE86MDXQKBbvsTGl98wY5HZjCSuSiJFyevHMl+w0AkDV0rUtX0w+gfyeRHNU7nuMPb\n0nMTRv9QHVt5mh43Mu9jwQJ2GjzMlkGSpKPKR8VNxq/+fa6o54nMBCh6Na0bmUGddqSQlR9RVLcB\n1OKJAuCXedYstpuqilimHDKfm3UiIzzt28d2S34LJwogCBsbL7xw8+ax09QlaMrkR9eq22lD4L4+\nWJeAxiMIbYqubREesnYraWFUeIT2jco0JYzVs2q4qVP1xBPGnhwPXrjffkv8HYRBlQxBqBntC2Bs\ndH0lkJdXmhW4SBpudO3Ti6L7AzXJ+g2jf6i+D12CpgxhTJaqBpAy9W9/ZIiGrvcRxIIy7bcMPvvs\nMwwePBgrV64EANx7773Izs5Gz549sYGnm01D9uxJ/J3qYyM8ZMLxJiCZMoqVOeJ5wsuru4mI7p+6\nScVEohpOtV3J2BDwUJ0sZYwKVTUE7jhVBYvkDeUiAPh9RzVvbnSpqHUJzN98oyceJ2x1ekQqDV2n\nPnhaQtW2I7NlEMZ49coretKwERIInn76aZxyyinIycnBihUrMGbMGAwbNgytWrXC008/rTdHAaBq\nFBKUQVEQ4XSdMghjBcQLl84rIJm64SnQwjCa0iUQqAqaoukBwPTpavGE0T90KUJ52hw3PIEgCCNP\nXvoyuL/YmupTBjyCsJNwo9o//NJ0Y399VAdlRDzl5+dj5MiRAICXXnoJZ599NoYPHw4AyM3N1Zeb\ngAh7y8DNW2+phZNptLKfd2WFE0szCrfUr6uDBXHMTRe6BAKxMkYBRPD99+Jp0uPxR9VoqjRtGbBt\nCCLcMcBdRtV2PmeOuF9n/cgIzKkWCNwk3kMQEU5Dl6EeD1XjxN27E914bcf+Emuy+JVZp5G0kIag\nZs2aAIBjx45h+vTpuPHGG0vcDugUTwJC1TCqNE1AqqpdXQPee++phUuFQKAaz7Jl4n55R/t0XSDD\nQ1VD4G4PQWwZpMIWRLUculakMjjbTir6h36BwIsujebq1XJ5EknfjeqCUuZ4r2r6uhHSEDRt2hRj\nxozBzz//jOLiYvTp0wcA8OOPP6JI9exRiIR9jlQXYahEDx5M/C3W+CIinpQIY8ALQ4ZNXkMQSSp9\n1bbjbitBaAh0DXDLl4v7pdd5BIDc8ckwBmfeqY8w9qx19bP4ZBnxuLnHHSfptihQFQh0aQj8rlcO\nXUNwzz33YMmSJfj4448xbtw4VKxYEW+++SbatGmDSy+9VF9uAkJVQ6Crg6ki02hVtwzcjWntWvE0\ngyAMG4K5c/XEw0PVhkBX59Yl9PDalapAkApBOwhNRxi48xbGlkEY72f/frX0U1FG1e0NXQKBH6EL\nBE2aNMHbb7+NjRs34q9//SsA4Oqrr8bx48eRl5enLzc+HDhwAO3atcPH7rslfVC1zP3f/6SS0c7G\njeJ+gxi42UR1RyhEqjU2Mqgao8XfYzSp9N1n23moDiip1hDIQO8fUQByAgHPcj3VpJsNQZyo54mq\nwFqaNAS6tgz8CF0g4PHvf/9bRz6EePzxx9G3b1/pcKqNiHcpSrqRam1GGJSmMqba4E6GVA/OYaC6\npVaa0FUOma0YVVTbnK7J7z//0RMPr7+WRoGAaUMwdepUWD43HhBC8Oabb5acOBDhuuuuw8cff4za\ntWtjuaPlLViwAEOGDEFRURFuu+023HrrrQnh5syZg5YtW+KwQi2rNnAjELCIhJlYCaVpAlIl3rkj\noaVZCuyCk4ZnQ3Ci4P5+gyqFhXriiRPxPFFtc6kQmFUn3LDyqlMgsAihR5cheB+iZVk4LlHyhQsX\nolKlShgwYECCQNCmTRuMHTsWOTk56N69O7744gvMnj0b33//Pf71r39h/PjxOHDgAFatWoUKFSrg\n/fff9wgssd8p0EcaDJqoXVvuzLpBjD//Gfjuu1TnIljKldN3b4IhTt26QH5+qnPB5vzzgblzLTCm\ncimYGoLOnTsjGo36RhCJRKQSPO+887B58+aEZ4W/i6SdO3cGAHTr1g1ff/01+vfvj/79+wOIb01M\nnToVtWrV8tVenIhkZKTLKjmKE211lS7EhYEodNaxZaVm7z5MeP1j61ba0yhOpHacbsJAvM1Fke71\nzOsf6SwMAHrnBKYa4LHHHhOKQNQfj2+//RYtWrQo+d2yZUt89dVXVL8DBw5Ejx49kk4zlfBkmcxM\ntlvZsvrzkgxVqrDdynAOtOr8GEfQ/H4FB5V0ex+8/PDeR1aW/rwkAy+v5cuz3XjlTzetCy+v6dau\nVDnppFTnIBHeuMNrc+mGe47QKRAwq6FDhw5CEUycOFHYbzgMAtDo97+zAbRGXDqN/v5/8L+rVgUK\nC+nu5cpFfjc48bqXLQscP06P37LCy7/I7ypVor/bWXjdy5YFioro4U86iV3+dPsdmyzp7hkZQaYf\nkQ5ftmz0d6tnr3uZMsCxY/TwNWpEfj8XrjP/6r/LlIn8biDndS9fHjh8mB5evn/Yz5LLr8rvk05i\nv4+srMjv+/jh5SeI38H2D/nfZcpEfzf29bqXLct+HxUqRH4/Qpja/Nu/MzMjOH48CmAKAGDTpkbQ\nBdOGwM3+/fsxffp0LFq0CMW/iySEEHz66afYvn27VKKbN2/GJZdcUmJDUFhYiEgkgqVLlwIAbr31\nVlx44YXo2bOnVLzpZEOQnQ3s3Ut3q1SJfQ63Vi3v1wFF4kwFLVsCq1bR3apUYRtl8tyCokIF9rng\nzEy2AdCZZwIrVtDdYkKfnvzpoE4d71cXbXh13rx56u+fcFK5MvvIb9OmwE8/0d3SrX/w4OW1fn14\nPhdcGqlRAygoSHUu4lSr5v24nQ2vf5xxBvD7d/1CIyuLfXmTeyzr2BFYtEiPDYGQ8nbhwoWoU6cO\nxo4di/feew+bNm3C0qVLMXXqVNStWzfpTFStWhVA7KTB5s2bMWfOHJx99tlJx5tKeNsCqirR9FFr\nRQGoq+BSoUrkpcnbpuGVMVjVblQ6BE/1X5q2cHj1Wq6cWjg6UdkAUrRuzXbjtcd028JRJV7GaApz\nEUd1bE1F/5DZVg79HoLXX38dn3zyCZYtW4bWrVtj3rx5WLp0Kb744gu05rV6Cv369cO5556LdevW\n4ZRTTsHkyZMBAM888wyGDBmCrl27YujQoSXfTzgRCWKPNBWo2jvwBvWgULXb4IVLt/fBq9f0ESb9\n4eWV967SrYy8iYQnEKSiXanW3Vlnsd3SzYZAVZhMN4E5JTYETlatWoUuXboAiH3gyObcc8/FsGHD\npBKcNm0a9XmXLl2wWvVLFWmIqoZA1TAsXCIA1FfPpUkgSJ2GICIdQlVAS7cBj5dXvQJaRDaAFLy8\n8ibLVLyPmM0P3Y13eoPX5uL9PJJEzvShKjCnm4bAnZ9QThk42b17d8n+RMOGDbHq943jgoIC/Jx2\nd3nmwa2iOuWU8HMRxATEC5cKVCfLVAg2qu+jNK1IS5NA8PsuIRXVwTndNDY8eAJBKk5Uq2plVLUg\nqUB1TEo3gSDxfUSxdWuetnSFinr66aejR48e2Lt3L3Jzc3HuuefiyiuvLHmeXuTBLZGm2+6DauNL\nnwkoCqB0TUA8ePkpTTYEqm0n3Qa88ASCqGwAKUqThkB1ISImEEQVcqQfVe1Sul15k/g+IqhfP09b\n3EJTzMiRI/Htt9/Csixcc801yM/Px8SJE9G7d2/cc8892jITFKl4oaqNT3VySgWqg3O6dbDSL6DF\nUM2rrvfRogWwZo2Y3yA0NummIShNAgGPE+V9nCgCszs/oXzLwEnLli3RsmXLkt8PPPAAHnjgAX25\nCJh0e6FBqOfCJQJA3yrv9NOBoM1HSt+WQYT6lLefm2qBQFf7lBkMnaSbDQEPVUPWoFCtczHNQkQh\nR/opTQIBjyCNCpMuaphfO1Ql3V6oagdLt3LwkNEQhDEABmHTkQoNQRDbG7raVRjtszTZ2ARxsiUo\nghCY0228Kk0aTZn3EfopA9aXD1W+dhg8eYjf9BYj3TQEQUjj4RIFEFHWEKRbB1OtcxmBoHVrYNky\ncf8q97+negUk816D6B/yAkEUsnXMu1TMTRBCaFAE0T/icUYRlpaA902CVPcPGWSMCrdvj2pLV2hI\nGzx4sLYEgyfP8yTdJiCZzhe7qpXuls6kWwfjoTo4y5QjjEk31QJaqgWCMPp5/frAunVifnl7u+mm\nIeBRmjSaPIEgCEPWVJCYnwhq147gt98e0hO3iKfOnTujuLi45N+BAwfw3//+F3//+9/x5ZdfaslI\nkKRbB5MZ8Jx+06dhRnx9yAzcqX4/qqtOXRMgnYh0PEEYssogE49qOfSurCOyAbSVMR0nUhbJbxlE\nFHKkhupYEoaA1ratuN+0NiqcMmVKwu8KFSogNzcX7du3x1VXXYVZs2bpy1EApJuGgEeqV0BueEZs\nugbu0mpDoCv9MOIJYwWUaqPCVLcjGb8yba5BA+DXX8XT1Y1q/0i1oO/mRB0DQjcqbNSoEfU5IQTr\n16/Xl5sTCF0q0bA1BM2bs9OPE+W4xZBZAaV6IA9jApJ/d1HpNFNtxBaGhkBvH4jqjEwKmXbFu8Qp\nDPTYEIRDEBqCdNOguQndqPChhx5KMCosLi7Gpk2bsGTJkjS8mCj9SbWkykPXZJ1ue6RBTKQypHqV\nUZpXQE5SvW2ma1BPNw0ajzBOdsS+2Jd8PKkW/HkE1c9CFwgee+yxhK8aWpaF0047DQMHDsSgQYP0\n5SYgStMElOrBQGx/P8Jxi5Fue6SqpE6dHqE+/SNoCFTT0GWnwSOMLYN0O5abfF+O+PpItVAahhAa\nlMAcug3B2WefjWg0qi/VQMmD+9ihLnJzgXnzko+n9AsE/qTbgMcjeZWoP6m2IQhjwAvD4M7drtzf\nhg8aWttVGZBLk9GtqlGhDKk+hVOa+keiWxQFBVHFHHkRyuKMGTOYboftM3FpQx6Csmr9IxpNBWFD\nkG4DXroNBjGi0mmk24DXq5daPOH1j6hsAKm2W5o0aMG2naivj1SvwsN4H6rx8IWuCLKz89QipiCU\nxerVqzPdSoMNQbqpRE8UDUFQKtHPP2eHVeVEsSFQRaYdtWmjJ41Ro/Tkx0m61aPqVwtV3WQ45xxx\nv7w0eYJdqidyXYTxPlTnD7/xMhQbgtzcXFiWVfLZY9ZNhcvkrl9LCbr2WMJQEfs1mk8+AYKUwWRs\nCHgks5Jr2NA3emlSbWzkjueyy4CZM3khIkmnqSOcDDLCbHoIzBHpEO70xo0Drr9ePmWZ8quWUeZ0\nAi+N+vWBfv2AadO8bmKCf8Q3/VRvGZQvz3ZLt/kjSIGA+RrWrFmDnJyckn/fffcd1qxZgxo1aqB6\n9epYvXo1Fi9ejEsvvVRfbtIcd6MdPZrtN4gBz7KCH9h1DeqlacsgDIM7dzzvvKMnniDcdAmzYahv\neSupIHCnUasWUK2amF9RtzDqUQaenUSq1elnn534W7XO69UDbr1VLQ+ilIZTBswsdurUCZMnT8aU\nKVNw6qmn4tlnn8W2bdswffp0vPvuu9i+fTsmTZqUcPogXQlK5aMqC8moqFO9ZVCrFs1XlOrXSTIr\n6yDKzIuzXz+gTh26m7scqmfC5Qf5KPVpqtXQPNJBQyB6R1pMnR4V88xJrzQJaDyC3VKL+vpw5/WC\nC0Ti1dvmGjWSDydDUO9D5ykDZhanT59e8vfcuXMxYMAAj59rrrkGX331lb7cpDmpGPBkwurAHf+Y\nMWrxJKMhCFsgKF8euPBCuhtPQEtmyyAI1T/PLStLTxo8dPUPmTRU42UJgH7oaqvJtPGOHcX86VyR\nsvIb1JbaJ5+IhQtKgxcEQR3LDUUgcLJmzRqsXbvW83zt2rVYJ/qlj9DIQ1A3Y4Ux4KVisuTFn5VF\nGzwjvnlJ9TaAG7+8hq0S9a+fCPWpar1WqwY8+qhaWFF0tVXefq6uLbVYPBHJnOnTEMik4eaVV/TE\nI+o3+TJGpNMXzbtOAU00bOvWamm42y7NJsOZHzG3KPbty1PLEAWhewh69OiB3r1744orrkD79u0B\nAF9//TVmzpyJnj17asuMHvI8T/xe9MaNQJMm/jGHocorTacMZOKRSUM1zVtvBZ57Tj5cUFsfvHhE\nw8rc4OZX5xUrJh8PD10Cc79+QH4+sGGDfxqqBCWwi7ql+hInGcLYplLtHzo1b6ywQWkh3PYPouES\nf0eQlRXBwYMPJZO1EoSazNixY9GlSxe8/PLL6NWrF3r16oXJkyejS5cuePbZZ7VkJJUE0fiCGChk\npNh+/RJ/i74msQEvynHjhUsmTX/+8Q+1cLx61WXTIV/GqFA8qunr8utEV/8oW5Y9WPqlIdeXo2Ke\nJdIXRVQ4o6WhOl7JpKHDDQBefBEI8h4CXQJauvUPGUL/uFHFihUxfvx4/Prrr1i8eDEWL16MX375\nBePGjUOWzOZkivCr+LAFAplP0epSpYla0IYh9ARFGAJa2Ks1d3pPPy3u1+0W9AoojLbjZ9MRxGTJ\nSs8vTV5eatQAnnhCPA3ReJ2kQkPgNro95RSxNMKwsfELpzq2ihJU/wjdhiCeEQsdOnRAhw4dYN9L\nMHHiRH25SXN0Ndq//tX7VUFWGqoEK3FHpOORSUO0Xt12rqnQ2Iii+i0Dd7iGDWOTiSwyA54qYWw3\n6e0fkZLfV1+tFo9lsQdkvzbHu9RIB0FdhCMTT+x3xDec6tiqU0OgKjBTzOuoqAoEfumHIhAcO3as\n5FKi+fPnY8GCBZ5/8+fPxwsvvKAvNyHRqlXi71RoCM49l+6W6hWQG9WOUq5ccmmKEMaK1G/AEW3+\n6awS1TWRBzXgyaShOpG88Yae9GUIehUcxpZBMn51hHOX8c471dJIpoypHq+uvVYsfRGYRoX/93//\nh2bNmmHmzJnIzc1lRkC7wTDd8FNrpZM0GtSAJwotfa8EGoWf1F+1KvDYY8C99/qnGcYEpJq+X/03\nbZp8GnSiACLaVNSlWSXKS8MdTq6MUcieNND5PlTcRNxZ/qZOBQYO1JsfsbxG4a5n97iiS2CORIBK\nlYD9+/39ut1UNQSi6BK83Tz3HPD883riYgoEjz/+OGr8rpts37493n777RKNgZN+buu1UkA6T0Cl\nyYraLx7WJT5+aYQtcfPQNcmqvtcwrKhpfp1s2gQ0bhz7u39/4LXX6OHceeWVuUKFxPScQ0syAlrQ\nQo/O/hG2gCZ62Y+u9xFG/0iH9xH0eOX2N3gwsHIlcOSIWLoyMF/DxRdfjHN+/zrGsGHDkJOTg0aN\nGnn+3X///fpzFQBz58b/TvUEFMYKSBWxFVCE6tc/nFoenPTpE/871YZIMmFVbQh0aqVU3JKJh+fX\nuaLRteqWJyId4kSZgGS+h8LLK89AOk6EGifvtygybUcmniDC6jyhcsklamH9EBqmLqGkvmXLFqZb\nasmD+5iLXyMpLQKBX1jnV+rSbQVUr55aPG6c3wBIhy2DoFdAfvmRCaejfmTaLs9v9eqxf6z0RA31\nVFekqsi8f57xZzJCT9ATkEwZ69UDhg6l++WV0f1+gxivypTh+3WSkSH+PsJYUPJIDBdFXl6eWkQU\nhIapadOmITc3F0uWLAEAXH311WjcuDFatWqF7777Tltm9JAHP8lflwouiAkomTSc97gHKxBEfdNI\nRgALYuDS5cabHM87jx2PjEAwYQJg17FOITToFWkY7yOZNL3+ouIJKaTXuzfQubNYPEEg8yGoZN7V\nmWf6hY2yPSSJjEDgF49qOxdF15ZB4u9I+ALBiy++iGuvvRZt2rTB4sWL8fbbb+PVV1/FLbfcgvHj\nx2vLTJCErSHg7aTwwuk6ZaBKaZqA0mF/XXT1LJM3p1lOqoUe929dwqxq2wlKkHBy111sN5kyZmQA\nDRqw009l/0jFCQQd4dyEdW/Ku++qh2X5S3Xd0RBqFvv378f111+PzMxMTJ48GRdccAGuvfZa3HTT\nTdi4cWNwudOEu/OFsQJq1Yr9AZWgVs86GopYGSNC8TjD8s7Khi1x09xY+atdGzjtNLV4ncgPwBFq\n/KkQekTdglkBiUMIP+xPP7mfRKj+khGeZNxSqbFRdaOlwevnzrbMQ+adO40jVYVXWvo8IdRpIM1b\npHXpwk4jFYstWYSGqeq/b/YdPHgQ7777Lq6//voSt8LCwmByphnVhuJE9oXyGpjKCsgPHWWUGQz6\n9gWqVBGLR1eaTsLYwsnMBO6+O/l4VOuDVkbbXezTs95wsqTTCkhGm+HGeRGQjGDDI6gVqarfli3j\nf8tsGaim79eudAihbj74gB1Ol2DDyx/PX6NGbDedArPOy4icCDX9li1bYujQobj22mtRrVo1XHbZ\nZQCAjz76COWSuYEmTQhiAlJdkfo1cB2NlodYJ4oCiH0J8Yor2PEEJcU60+D9lolHVHhTXZHID8BR\n3/Rk8CvjPfew0xAtY6ovipKPMyqdflCLguxssTj93FeujP8dlg2Bf9iob5yqAorOcuhIU1fb4X0z\nMMhxVUggeOCBB1C5cmXs3bsXkydPRtmyZTFt2jTceuut6N+/f3C504TMoO5mxYr436m451/XhOCE\nt+INaqAQPdcs4s7yxwtXqZJaeskIC6JpyOaH5S+Z9EWPoQUhEMiUw+9SsaBXq7T0eO2DF48uoZ2F\nqkCQTJ3K9HNV/PIaxPsIYgzg+b35ZvaYFeRiS0ggqFmzJkaPHo25c+eiy++bJP369cOmTZsw1Hnm\nJI1RrcAzzmDHEYRUHZTk7MQ9UDiPR4mlH/FNQ6bRqpaZN+C5r6ceO1Y8fbeb6sSmSiyeiHScQQk2\nQayAVAfuSpWAl1+O/xY9vkYvY4TqV+b7FZal/i0DUVTbVVgaG5bgHw8bAeDdX3dfTiWKX1tVUacn\nM16JIvs+7HLoKqMIUqej9+3bh1m/n22z7yEoLQSxcghCwg9jcnI3zK++YrsFMYgk45cXzvm7YcNE\nt6pVYwaCOtOXQeeAx4L34VHVFZCfG89fGBOQaDi3u0z/4KURxETql0bQE5dMPKpjkmXRjDzl8xOG\nnYRfvEEJzCpuySJ8yqBnz56oXbs2br/9dgCxq4179+6NHTt2BJc7Tch0MJ7CQ3YwUBm4/M7OBjFw\n163LdqPHGRXKi+iA55c/UX+qKweZ1bO7HEF0zlicUY6b928AuPJKoHVrXpx+adL9Bj3g6epX8mlG\nk4rDLz/JlGPhQn6aIoRlQ+DvFmV7EohHJpxqn5QZA3hubn/OI8RhGKUni5BAMH36dGRnZ+Ojjz7C\nySefDAAYN24cunfvjrE8XWya4D6OpKvx+/lVUSVmZyd+EEhV4uUR1g1/QawsRcPpfFcsgcAvTVVU\n22dmJvuSmGTeh6hbKlTUomGTWS0++CDbTdegHoQKOBX9PLktHPn8yAr+vDiDaK9vvhn/m/c++vZl\nu6mOjyoICQQzZszASy+9hK5duyLTcdbphhtuwLJlywLLnBp5ELFqFXVzEtaA59z/VpXkdQo2XvcI\nx80/Tl2olkPnipQXz6JFYmnQ44lQw+maSN3HRUtT/2BNQH759PaPCNWfuxz33cd207UokNE8Od14\nHyzSqSFIbvUcYbqrIFoOtxvr1ki/vOhceKj6Zbul4Orin3/+GRUrVvQ837dvH9asWaMtM3rIA+1T\nm6K/g51I/cP55SdogSCoCcg94E2erJYmz19QA55KOABo0YLtxkP1HSczqetoVzq3DETfh8yd+Klo\nVzw3He/51FPZccgIBAMGiKVHy2cQ9Soaj0zbOfPM2LYaK04d70O1f6i3qxRcXVynTh2MGzcORUVF\nJc8KCgqQl5eHFqqjXsioVr6KPz+/QbiJuLP8iaYZt2+ICoVjCQSAyP3n/oRh1R7GQEEnqpSe/2rN\n302mfWzerBYujImU5xb7OyoURxB59esfqsK9E5n+ccUV4p8r57nRyxH1+JXpD//+t3p+3G4q/UMm\nzbAE5qAQ+vzDE088gQ4dOmDUqFEoKirCmWeeidWrV6NChQr45ptvgsudJvwGPLdfUbdUDxQ8Ut0w\nk5mARJHNj/MYj8z33lnvwy/9sFdAyQhoovG4ycmJ/51qAU3XQCnzDYAwhB7VdpUKAU1160O1f8jE\nGcT7kMn3CXN18Z/+9CesWLECF198MRo1aoTy5cvj+uuvx8qVK9HSeVdmGqOjYfIaWNOmcumpWLzL\n5E+1HGKdKOKbhhuZCcj9232ngGg4XW46BDQZYnFGOG68cPJubnfVCchvwLvppkQ31jlrv3yKlvPC\nC9luMnUcxiQjQxDhghD840R84w1rUcBzE82DTJpOwhCYk0VIQ/DBBx/gpJNOwqRJk4LLSQrRMZG2\nbJl4rjaIhikzqMv4C0qK1zUAnXUWsHw5Pw4/N9V61TWRyhDGwM1byQUlEAThJroi9SsjjzAEqP4u\nwQAAIABJREFUgiBW1rJ71qL9o1IlYP/+5PKajEDEIyiBQMf7UBU0dY0rIghpCC6//HLMnj07uFwE\nTDKDgRNdHYyXB9lw9erJxU9zk89nVCicahnF8qBPsNFVDtWJdNIk4MYb3U+jSnnlubEmIL+wouis\nV9FwyWieVGwI/OJ0fiY3CEEzmfagS0DlbZvRBZuob350TXK6BE1nf5Rpq7oEZh4pFwg6deqEZ599\nNrhchEAynZPlz92gx4xJ/M27elI0Dd7A/dRT4vGKxpnMyoHnFrY1uEycuiYgXrx+aeTmysep0y3o\nFRAvHl3v0e1+/vni4UTjpLnZ7pUrA92709144fzSVJ3YZetVdLyqXDnRTUfbUSUZ4c3t5nSfMEFP\nvE7CuCgqWYQEglNPPRXLaTpbxLQHpQEdKzm/l+b8QEwQE5A73M03s+PlpSE7OXsnwQg1r+5wqRzw\nZDqN26/7/gAd5ZCZyGJElNITfR+qK+tk+ocuN9Ey3nor8PuX2z3xxv6OsBMSxD2R+gnCrLyKbuHw\n3NwENQEtWSIWLk6EGqdoOZwCiB+qY5JfP3f7Zf0O4n2ojo8qCNkQtG/fHv369UPbtm1xzjnnoMLv\nX6UghKThPQReghqo/F4ir/Hx0pCZgHRI4DLpvfwycP31YuFEOx8vnmgUmDKF7hbUaYlzzxWPU4ck\nr3OSDdpYlYdfXp0nlHXlJQjBRjU/uvqjjBaqcWO2m2zbsd39BM0GDdhxBmGbUr06MHUqMHAg249I\nPGEIoTr7ssr8kSxCAoH9RcNVq1bh1VdfTXCzgsxdEvTtC7z9dvx30AOen1Qvc8xNNA9BCDZ+g8HA\ngcD110cBRKQatOw2hQ3rg0R+4fz8ut1Ewwb1lTEvUbBWVixk3GbOBLp1i7vpEF78rmaNRMTi0dk/\nnJOcN2wUyWoJ/Pq96ESi2j+6dYtdtvPOO2J5VXVTuXEx7h6FbFt2+xOdHGUEf9E0/OIVJSzhPhmE\ntgw6d+6M4uJi6r/OvPsgU8hbbyX+lulgLHROQDrcdH3pi4eqVC+zkuOFVf3yHE+wobnp/paBzMpB\nBl0rGfeVt6oDKc+fqACdTL+SWZGKpiFDEEKojJtlsT+Iluo9a9n2EDS63pWuMdH9+8svxeLkjVfJ\nIiQQjHFay7kYP368tswEhUxjq1cPuOEGupufijqIwUh15RDEgBfvGBHfNGQkbtH0/dzcea1VSy0e\nN6LCQjLvw+sekY4zmfchlze+v3btvOFodSW66ty9Wz4vNL/euouIRyYQJz0NsXh47roWEKLtgydM\ny6Qf/6hcBABQpw7bry501ZVqmsmMV6LGmkEKT0ICQTu7h1M4/fTTtWUmSERfVDIdjBVPMh0sCGMj\n94dt/r+9Mw+vosj6//cGZFE2RTGiCAHZkSRICIjADSKCgCC+DouGdX4iywsTHRTBkeD64jLgAooL\nqDiIOCoyoiAIzaIQcRCUgKACjsquiOCEJdi/P5q+t2+nuruquvre3HA+z5Mnt7uqTp2uruXU0lVu\n8XvFwduT8WPYyBoPn37q7Oamqwiqeg68Fr+sriLvSjZfmW7mhkB+0sPqfv75znJkR2zckB3Ncovf\nK5x18aOXHJEy6Hbt5da6tXc4O27vw/qhmki+ckOlwSwSjwwqO5RBGQVcBkFykQ+v0w5lX4SXTJGC\nqmLIRzZTVKoEvP22nzi0iJuKo0Zl34fX1xIiBhqvriLx+Su0GlectWs7u7mFE3UXicOs+HjTlZWO\nbvlKxYiNgeasICd+jSeTDRv4w8nG4ebG8mvuvuq/fGgAgHPP9frqQzwO5zjF5IiUD7d37jR9w4pD\nTX2VgNMOk4t8sE47VFGIvObk7Ne8jWVGBr8OQRg2bvipcESfg+XfT89BxTu3v0PZkQ43/BgdP/3E\nF5/M++CRy/LHMghUVeoi+DGQeMPJGoX2+/YNxoJo9N1wK49+3oeKfCUbHw9XXcUXjvc5Bg8GUlPl\ndJN75wk47bCs4fZCZRex2a+9MpD13hdfOPv12tLUWmhlKwC3++znCHvGaXeT3ZjIT4WnSo4Vt+fI\nzPSOw76/vjNhVzn236xrETfeHhBPWvEYBCLlg6WvCW++YscfZvqtXRu49lrn+IHofLiqToGbrm5h\nS5vxxH4f4RJyROsrJ3jrYNY1EJtXVehTqVLs1zRe8VvdgqivRDlrDIIgGiBVvQNVBJGh/MixVg7p\n6fzheNPRa9rFSY6qhtTOvffGNhTxLuBB5DkZQ85pykDEIPCKw8lNRTlPSQH+/GdndwAYMYItR+Sd\ny+jKyldBNKzWeyLvQ+Q0UBVubn5Dodijk72eUWYqyu6WkiJfBlWUD7/4NgiSYadC0cqZ94XK9qT8\nvFDesMH2HDTPOOxuH33k7G7+ZhXIlBT59RYqemuicVhHmHifkY3mGZ+om1u+5pVbo4azP/PZRQ0C\nt/i8EDUKY9GE47c3krKNtVt+ZMnl8SfqZl0PzjKYeQwCL4ywWgk5IoaMH7+TJtl1Yekn31h7ubH8\nTZjAdhPJO0HhuARi6NCh8Np0SNd1rF+/XrlSQVOlSuy1bOHjtdz8WMqyp7nJwtJVhcVbqZKzWxAN\nR1AGWhBrCNz8iqQN611lZwMFBfINkF3mzTcbu0dqmrMMp0o2kQaz6l6W9Rnd0s4rvKibSBxextLy\n5dFdB1lyeBeHusUpmwd48VO3Wu/5qT9Fn6l6dbaMeJQPLxwNgoULFyLDstpt48aNKCoqQnp6OnRd\nx+bNm5GSkoKrrfu8lmKsifjkk8A//sF2i0dBVflCZSojUfklDz0J+4rDq/CpspSd5IhWIrxGmGzj\nwCbsGKcTbo2+qh5QSgqQlsY2CLzku6VN9erAkSNsv066eMXhHTbsorE71sYynusE7OHc1jy5wXof\nTo25/3IednRn/faDqIHO84wi+VGVMauqoyGKY3ZKT0/HypUrsXLlStx666245557cPjwYWzYsAGf\nf/45Dh8+jPz8fPTs2TM47RRhf6HVqgH16jn7dZPjFY9qObLH1PqpjADAXLiqqqC4ucumVa1aQG5u\nsHGIwCOH1XiIxK8qX/H6Y1VGTnK8epRuDduvv8a68U6t+NkzQMafvQFxq6zj9a5k8q+I8SoSh/WA\nN5n4nXrPvIjWV7xGD28DLVsHiMiRfec8OBoEK1asiPyeP38+xo8fj/POOy9yr0qVKvjrX/+Kf/3r\nX8FoppDojlkGXoVBtndiv+apNETw0s3q1quXfBz2/yXj1CJuMvP7bulvv/ZK87593d2d4gSi2/eK\nFLAgti5mu2lMN9GKO54VnltcQZUB3q9w2L8113hE9QnqGf02QG7xOMUJ8I+CWMO9+y7LTePWxf4J\ntihe+VN2FETkffh5705xOPlTjaNBkGIZi9q6dSv2799fws/+/fuxffv2YDQLENkzALzmYO1y4n04\nhVXm+edHV0L7kaWq8nFDZF7eDq+BZH0f5n1zUx+vd+Wkq0jFzQrPS4cOznF6xccLbwUkaxC4yeEx\nbKyInHDIE78MopsvAcDvv/PLV2FoisTh5q4yDtX1iajBzCvHzc26z0CQRqBqQ5MHrhmodu3a4bbb\nbsPLL7+Mr776Cl999RVeeukl3HrrrWjfvn1w2ilCtcVt3YKTV052dqybv9PD2OFUWpjuBkGYGadI\nHDI9MFG80oOnUpeNT8SNTTjy64MP5OPgfde875HHr5MeiewB2WVWrAj4OcuAx2C2l/Nzz3X2K4vK\nBojXrzjhAGSyEX0O3jrA6v7ss85uPM8kW/eLxCELl0Hw/PPP49xzz8Xo0aORnp6O9PR0jBkzBlWq\nVMHzzz8fnHYKUVkZ8c4BWSsN68cYqgqxKr/2cKz/bn5l4uA10FQtmnKLR6RBvO029zi84uLxa3dz\n6y2qiMPLL+/78MozKsqgV5rzyr31VqB5c/H47X7iUT7c3Pw0Dk71lYnMVwZ2N96w5u94r7HhfY9W\n98qVowenBfk+7Nxxh/84vOCqbi+66CJ88MEHOHDgAObNm4d58+bhwIEDWLx4MS688MLgtFOEaAPk\nlOCiUwa8ft2QXTTlN373gqIx3dwOoXGSz/IXRMPB+s1TGdh57jl3HbwaQ36rX2O6BdEAecWhKv4g\nnkN2B8xzzgHq1tX4I7LJYOUdVrrJvBP7micnHVhxsrj9dj459ik1mfLBjkPj9CfuHgrF9titac5T\nNnmfMR5l0C5H5XvgxeUohpJUq1YN/fv3D0qXuCFb4YnIjYdV7RanbGVkl8XbUADAwYPG//LlYysY\nN/micYjg9T7iWdD8HGbltNmRHbdndMOeVy6/3NnNT75S9c6t7rKnRKqsuGXdVDT6bm4XXwwMGQKk\npXnHH+/yofJ93H47MGaMtxy/daKbXJE4nEZBSkN9xT0gu2HDBtxzzz249swm348//jg2bdoUmGKq\n4X1pboldrpzxX/SzEdEXqGIxol8r1j3zhZlu5cpF04hXvpdbog0CVpo/84yzm1t8YoSZcchWeCKN\n7NSpwKFDcnIA+QqP1012UaHdX+3aYUc3Lzl+h9MBNVvlusVRoQIwZw6ffqxn5i0fbm6Ge9gxTjsy\nUwbnnAMsXcqnj0ze8SpXvO/Dz66aXboAXbt66+MXLoNg48aNuPrqq/Hpp5/i4JluYFZWFoYOHYp3\nrd+ZlFLcejkiL7RGDeDf/+aPw02foPEbh7rKQC6sqD8ROU4VHy9mb0QkrOmPp7HkkcOK283o8ZJp\n9VehAlCzJl+cVkQqW1XG1IgRwLBh7vE4/X70Uf547DLi0Vvz0sH87cfwcPut4hlV1IM8eUVFfSWa\nf71+i+Imc9kyoEULPl39wGUQvPbaa/j000+xZs0a1DxTU4TDYSxfvhxvvvlmMJolCK8C1qqVe1g3\nOStXlvTnFb/IaYdOunjp6iaP7U9z1MdE5doHmULmZaB99BHwl7/IyxfVTbyi0hz9qn7nbv5EDF1R\nuSV3wOSLw+o+fTrw8st8cdvj37JFi/mkU0YHWUPTq5HjTXOR01nd3N3KnZ+6xHDT3AUAaNTI+O+3\nofN6H7KdAbs/p4/reOQl/ZTBxo0bkZWVVeJ+zZo1sWvXLuVKBYHKipvX4rb7MzO9yAv1WjQlu22q\nG3feCVx5ZUm/soWJFT+vXD+NnFvDdt11xo6VIjJ43GQba7c4ypePvZbRhycepzC870O0fPDoIoKX\nMa8iDnt4r9Pt/DyLiXUNgCoDLRQquTbFLot3WsTpfYs07tde688Y4GksvcqHVyfJyj//GXVTka9F\nDYKgjAIug+CXX37Bnj17StxfvXo1jh49qlwp1XhZ427XInE4XdszaxCVIUuO7Cd7Tz4Z/WaarU/Y\nxc0tHNvdj9UuYhD4jc8rDh7450jDkV/lyrFHl7ye4847gbw8b53cKqOg0kqkTMrG4XY/FDJGOUXj\ndyvLrDjs73v8eO847O6PPQYcPsx2k+2RuskRqa+8MMKGHWWz4heXzydHVX0FROtW1i64TpiGvcxn\n6yK6+oGryejXrx+6deuGZ555BkePHsU///lPjB07Frm5uRg0aFBw2ikk6J4Dq1J1epEiFt7ttxsr\nhb3CseJ64AFjwY0IqgqYVxxBNAZucXhZ3H7iEbnvNx4RuU8+6b61M0u+Vxwqy4eTTJXxe70fv5u/\niOr62GPu8ZrhrGErVHA+dlpVWWIZL7xxyLix/ALya2x4DDSneyL68fhz8nvZZYDbOvx41FdecBkE\n9957L9q1a4e8vDxs3LgRf/rTnzBz5kz07NkTd999d3DaSZEPnjkrE5nKKJ5DolOnxq4U5tU3FAIu\nuADo2JE/LpZctqWqucYtIt9Ljlccl12mJg6ZZxEJc8UVotK1mDh4KoNEGFoskmXKQBM9svEMCxcC\nLVtG5VhlyurjhltHg0c+z6iUVwMkMpxfcpd7zTOM33TiLR+y0xK8Ro9X/Onp8nLYz6gh3zyJTgFc\nBkH58uUxa9Ys7Ny5E4sWLcKiRYuwa9cuzJgxI+bMg9JBPuxbZYpWFCqsSNZv3kyrAr8NII/F7ec5\nrO716snJCYWAzEzDaPIK6/U+VFcUdjp1MuJQuWiK5abisCm3+IIoHyL6iMThdl8274ZCQO/eanbx\nc4M3bBCGnkh9xaJWrVi5TvG5XfPi572+9FK07lDVueFpDv1+th57HY6/QZCZmYlwOIzLL78cPXv2\nRM+ePVGnTh1lSsQDe6K++CKfPxE/chaemPzSUcDCSuN45BHgl1/c4vMfj/W3045sPHLs953SS7Si\nKuke9pQblIEm689tDwq3HpD521ym5GbY+DEW7HKc1hCIypFx85KpwiAQeed2vzfcED3KWDbNo+HC\nXH4B+a2L3Qz+kvoYDB8OMNbKM2UHXe/aw/ppP/zAZRD89NNPeP3114PTIgHk5Bj/RRLXK9OqKqg8\nOnjJctNVJJ549HLOOafktsci8TiFUdEjdWucWHKd0t2v8cT7PlQZaW7+nPoCtWoBGzeqGaJ2o/Rv\n3MUnRyasVyPHQuZ9LF7M/tIoKPzGYX0fQRwKlAgDjbezoRIugyArKwu1rONAFhYuXKhUIRWYu1aZ\nqKooRMJa4xSt1P3GrSIO9x6pFrnmrbjc3P0+cyJXUfMi3gPSpONQGY6VryZMAJo1Y/vPzGTfb9mS\nP08EYdiwnkPTNOEeqVveES2DqnZclMW64JhVX/HG4Z1emmcY2foqKDmyYf0YaHY5bvt0BFVncRkE\nY8aMwQMPPIDdu3eXcHvqqadU6+Qbc4tHKyoTUHYfAr8NkIxhI2otq6zU7Nx/fzScV2MNAPXrA1Wr\n8su36+ZldPAaaG5ppSIdeVDRAPHI59GjfHljwSqvjPR0YOxYb4OZRxdZI1R0xMbJXfYwJRHi0QAC\nxtcLa9ZE/fLUV/ZpIdl35aSrihFNt3wl805UvQ+ReLzqq4TuVDhq1ChMmzYN9evXR2pqKtLS0iJ/\nBQUFwWimGFUNoJub1wvlcfPCDFu9Op8/v/Gw5YSl4pgypaR8Nzkvvsh/NgILXstdNq1Yp9KlporH\nwdYtzAzn5zlkDBsnGawKybyXyJ3YRJ7DzxoClq4ip316ufM+h+wiNp56j/WMP//Mp1csYan4edzs\nflh57OGHo9eyozKi5cOPDNOvUxr5rdvd4DrtUNd13H333dAZqfnqq68qV0o1QSagNQ6vHhDLipVl\n27aS8btd87rZ/fhpZNzC8ITjjVu0AXJ6LypYssS998zStWlTYMcOd7k8uqo0bJxkxqOx9iODtxL1\n6pE6rZNwyzvm5lE8uqruWcviVi5Yfrw6IvZwKgxNlk5O91n+hg8HJk3yTvN4TeGI7rUg0inwC5dB\ncMMNN2Dy5MlMt6KiIqUKBYXK3iHrhfLMkbrF2bEjsHq1u04sI8MrDtk5UtZ19LcGIBx44xDkvubW\neyorbrOXyNuQjh9vHFpS0iDQ4LXDm0ojUEXF7bdS92ugifbAjH0Iwky3Nm2A/HzjjzdO+zIrPxV3\nPIwnq58gykfUXYPXqKIqw0aFofXhh/zhVJVBHjlBdGDscE0ZzJw509Ft+PDhypQJEtHKQuR+w4bA\nX//q7dftha5a5R6Hlw6y/rzCq+jpB02Qu82pCuvVWPLKV9Wz5JXpx69oWBUVnhn2llvc4+aJg+fg\nIFUNgKi7CKJTBqoMNLewMu+DJx4/z2G6d+vmT49Jk+TD88YRFL53FbrjjjtU6BEoIhWlTGKXK1cy\njqAKGK9MlYaF6Te6fWo44hbE+eIictzilnkf5n4IvPHwIv4+wkx31nPwnAXvRTwqbhVl0Kssm27P\nPecdRzgcDtxAE8F65LSsPqLhrP9VG/fRcGFuv6z3wXvCLOvaei8eBlooBDRuDFx1lbMf2TxXakYI\njh8/jpdffhmdOnVCuXLlkJKSEvmT3f4zmbG/UNbnISorCms4FT3SUMj5szG3zLd2LduvE26noMVz\nBAHgr/BYC8Nk93h3uxbFrTIwN1eJV4UHyE0ZeMnkaZx45LBkuvl1cuMxdlU2pNbz43hlmp0R2fit\nz+H2lYFsHH6NwEmTgMsv54/HjzEpE06VgcijW6kxCF5//XU8++yz6NOnDxo1aoQ5c+Zg2rRpaNWq\nVZmcMpCVYa+QnDKLiorbb0FMSzN2CBSJJ7qCXou4BV1R8CC7d77fBshJrps//sZSY8p3a/R4dfng\ng5IyEzlCwHqOIPact1/76czw6CpazitU4AtrsmZN7NHYTvCkpYp85SxXi1zPm8eWqao+sObleOQr\nJ3+i8bRowR+nn/rKCy6D4L333oOmacjLy0NqaioGDx6McePGYeXKldi5c2cwmimGJwEvu8xYRauq\ncXDaIleFfF6ZbnGJVhQibl46qepVuVG+fHTo2Cvtgp768GsgqTQmu3d392dF1Y6LrLBB5AFRg9nt\nvct+rsfj5uYeZIVvj5vHKOZZS8Hr1rmzu18Vo0uqDDQZeOTY9bvqKmDUKG+9VRg2XnAZBIcOHUL1\nM9+bFBcX4+TJkwCAqlWr4hfWpGsSYX2BL79sDMH16uUeJuhFbCIZ10sXlTuxRQl7yvFCRQF0kzF4\nsPG/TRtvv6WlooglzAzvNdLhFr+Kz6pMRKYMnHZc4xmiPnzY+H/8uLdOIs8QCqnbhyBIw8aPTJFG\nVjZfebkbbmGp+EXgLR8y8cgY/iL1bkoKn15+O5Q8cBkEx44di4wEZGVl4emnn8axY8fw2muvoXLl\nysFppwjRjNC1K/vYYNGC4XStolfhJ1Owhqdk4olHQypD8+bAtdd6+2ONGogiagQ6NZYy8Yn08rxk\nqhrp8IrH7T4rz5kLWStWFIuDtywGYzB7y/LTyPrxKyJPRV1jhjW/ovLyJ+tu9eekv4p6VwVOZb5a\nNf56K6j6lcsg6NatG5o3b47du3ejZ8+euPfee1G9enUMGTIE/fr1C0YzxcTjhfJWeLL6yGRou653\n3RU9tEQ+Ts1THy+ZQfSqROJn/ZeRE1xDqsWEYzX6113HHwdL1x9/9KMfP7yNNI8uXpWhSMPhtYYg\n6Ck1E5ENjVi4rWh3ws0gUr89s+Z4xgWPPjzhguw9x6u+SkkBWNv9xOMZIzrweHr88cdRVFSEevXq\noXPnztixYwcmTZqEdevWYdy4ccFpp5B4vFDR3iIQu5CIR0bQmYNHboMG/uPmCes01CwjQ1aOqvRV\nlf+s/l97LfaeqKxLL42GU/GcXqMgonnbCdlFpE5+ZVDR6zRhzVyI5JdRo9hGgWwjaw8f5KiQlz9e\nd94vQoKkU6fYA6Oc9LDD28GMx3Nw7VRoJy0tDQ888AAA4NSpUzjHLRVKAUFX6qLuVn/mHKkqHUT9\neYVnydmyJYzKleUrQ9VDXrzD8DKHTXl9Iin6Pvgr5zAzfDyMFzeZokaYSBwqntFJFus5nPYhaN8+\neF2DNlj8oH4ELez7eW+80dgN9ssv5fTwikPFyNOjj6otH0Ec4+yF742Jrr/+ehV6BI7KEQKVm5mc\ne66cHF693RrLeA2JioSNR0XIU+HxHOJirUS++IIdh9M1LzyGBI9s1Q2QTK9TlTHrlnfsbk5fRTvJ\nmDABuOQS43eiyodb42S9z/sOvAxeP+F5G1Led+qkT4UKQI8eYrrddRe/X7e43cLK1MluMtzWtJSa\nEYKcnByEQqGYw43M602bNgWmnEpELTeRCs86JNqhQ+yRoiwdVBYw1ZmDR/7q1RpMq59H140bnd1E\ndHK67zbnKTtlYB5QxFuRmdMorHjd5DgPp2vgWZ1tDRtEAyQqB5Dv2ajM06aMBx4AHnyQ7c46y0Bl\neUr0CIHb+2B9/idTXznJj0WDVzr7fV6WDuZstop85VV+3X6LyODxn/ARgm3btqFu3bqRv1q1auG7\n777Dl19+iT59+gSnnSJUV3hu7tOmRa9lhqhZ4Xh0kClgfufdvNxM+fYFRUGPAoj2nOKVNwBn3dLS\n1OigopfidH/MGOC88+Tki8TN20MWcXcqH6IjaDwjNl66qAonKz8jA+jf31uuSkNTtnzIdtJYsr3y\nld3NuuhWJbJ7X7DS0mnHWVm4Rgh69+6NWbNmlbj/3nvv4auvvlKrUcDcc0/stUxm97tZi4qKwvxd\ntap7GBUnBtr1Nb/fDsLiZt338wx+h+BkR3NEDbSWLY0VxlOmmHfCMeF4jbcg5x379hVrEHl1MPeq\nj3cD5GcfAjd69QL+9a/gy4eKxjI+UwZhX3GIhlPVs+ZZdCva6/cDy7ApLFQbB9cIAcsYAAxD4eOP\nP1aqUFCYCXjffXz+ZaYM7L+dGh7/BSyKebCNKnh0FbX6Rd14yckx/qswevyGDXrUI0gd/PTIWX5F\nR2jeeSf2OogRmyDfj132W29F7wc9SsAjQ3atAU/Pmle+1/vw++6D/sogHqOIInISulMhi+LiYqxY\nsQK///67Sn0CQaTn4CXHrx52ffzIAICLL2br5jVyAIgPXZmsWqUx4+SVIfr8Q4eWvHfnndFnl8Xv\n+2CN2Hhd86e5JqVPIhsg2TjsHyn5MSRFemyapkkP37r1zoM00IJEZKt1Vtrs3x97HX0OzTNu8fIh\nThD5SobSuNeCCdeUQVpaGqyLCv/44w/s3bsXxcXFjqMHpYFGjYAdO9z9yCRuonqkvOE++ihayQY5\ndBWEDNb97GxjC+LPPvMfLysOP0PtvGkhm2a33MIvW+XIkxeiO/wBxkrxRx4BJk5010E2zUUM/3iM\nGFjjsJ5k6EcHmSHqoBtS071WLeewQb0PHkNChYEm6havKQPVcBkEuq5jyJAhEYMgFAqhYcOG6Ny5\nM1KjR+CVOr7+Onowh2imkKnwnMLdcYeYDjwZMKgMwVPArGsIeCpnt3hUoGJIVBbRdyqyD0Hz5nyf\nWvHqIGP0qDCYrdesLcH9xMULS7bTPgQ8+oh+vWJ+ysgjO1E49UT9N6Rh7hG0IFBZzgsK/Mvw6z/h\nIwT9+vXDZNaeiqUclkWlIjFFrT/zmGG/FbebDOu1340veElWi5tV4fHoVK0a+75bGFX9sZQpAAAg\nAElEQVQEuapdJqxVn02bjJXrqlAxtOvm729/A3iOYJHtFMRjaDcIuncH5swpeT8e+Up2ykAkrb06\nMDxTnK1bi+kn6i/ROy5yrSFo164dl7CFCxf6UsYNTdPQoUMHjBw5Equ8TspgkAhrSybOePbWZGGt\nIfDaq9xOSgpQt668DiqNHt40P3LE2V19PtK4fcZrysApLdPT3WXwGqsqeqQ8Msxv8FlnGagoH0FW\n3CqmDJzWP8yezY7Lv0GgBTYiYHa2ePNVzZpy8fB0xKwEPWUQFFwjBFOnTkUr89sgB3Rdx9SpUwPb\nlyAlJQVVqlRBxYoVUb9+fWk58ZwykF1sFK8pA9nvrFk62Dcf4nnGN94Arr7aOVzQIx2le8pAXheV\nYeNphPIaNjKorrhVGpoy7l40bMiebuJB/ZRBMGRmRjcQ49EjFAIeegh4/nlAdi28infqt5OWcIOg\noKAAaWlp0D00D3FoOmzYMCxevBi1atWK2cNg9erVGDFiBIqLizF27Fj87//+b0y4Dh06oGPHjti9\nezeeeOIJPPXUUzyqn9HLXw/IxNw8JugXetFFzuFEK26/eyawULEPgRMqnsPrfaiq8NzCWgu/nBEa\ndnFjxyWTP+zuf/zh7cdLH794vVtVBjNrHwKnZ1yxwhhZiMeUgdvwNS//8z98R0bHax8CPx0xUdzK\nQKVKwOWXA9u28YUx3fyOfvHCkvH++7FxJXzKYPbs2WjatCnuueceLFq0CIsWLcLdd9+N7OxsLFiw\nACtWrMCKFSvQsmVLT1lDhw7FkiVLStwfN24cZs2aheXLl2PGjBk4dOgQ5s6di7y8POzZsydibFxw\nwQVSnzr6TcyxY0v2ZnnjFNEhFDJW1Oflicnmhbex5PETdA/ADd5NWViLv+xnjqvokSYyLazvQ2Yn\nQavufgwtHtwW4/HmK1PG/Pkl3UTfg92/0zOae16IyPRjoHnJBtzLgIpNi4IcQVNdXoL8DNSvPn/6\nk7tfL71atBDz7weuEYL58+fjrbfeQtOmTSP3evbsie3bt2PChAl49913AaBEr55Fhw4dsHv37ph7\nR85MznY8swS5a9euKCgoQG5uLnJzcwEA7777LpYuXYri4mKMHDmSR+0IvBWelUTPAdkXsHnJUJVJ\nzEUzbs9v7gEv25DGY/jcjXnzYvUIYoTAyR//6JIG3rMMrHE8+CAwYwZw8qRQUFeZovid6uHNV/36\n8flzkmnsQxAW1s/LzS1OHkIhvt59UKicMjDCanDLy/36yY1mlKahdjfefBNYsICvDvA7EugXLoNg\n3759McaASaNGjWIa92HDhkkpsWHDBjRp0iRy3axZM6xfvx49LJNgN910E2666SYOaUOQn18PAFCj\nRg0AGYg2XhpWrQKuuy58xq+G06cBM7N++aWGSpWsQ4kajHVHxrW5CMmsRKKLkqLXxlCUcV1UVNId\nAEKhWPnW+MzwRsaIdT94UMPatSXluV0btlZU/g8/RK937Yr6X7nSuDamRdyf32TtWg0//eQc/5Yt\n7vpt3Bh7DWgoLo5eb96soXx56+dhTvo4X2/dGr22vw/jkCb397F1K9C6dax80/3AAe3MQVZG/rLG\nb782w//2W+zzOr0PADh2LKqP9flNfU35HToY1598oqFaNWDcuDA+/LCkPm7vwywf9uc/dSrqf9Mm\nDSkpJfUx/RcWer8f4/ha4/rEiVh36/tw0qewEMjMjJVvuu/fr+GTT9zjB6Lld9OmTTh6NOoOaPjP\nf6LX338fGx7QsHdv7DXreU191qyJ9W/Xp7CQrR8QxjnnAB99pGHFitj47O/jjz/Y5cMp/9mvre/D\n7s5TPgoLgcaN2c+/d69ZX8FVn/vvj+prLx9G82Jc/+c/seGPHi2pD6t8tGtnXH/yiYYqVdj1dygE\nbNvG1s/t+Q3D27jeuNG4diofX36pndkwrmT85rVxVqBxffJkrPuaNVF99u3TALyCIUOAevXqQRk6\nB02bNtXnzp1b4v7cuXP1pk2b8oiIYdeuXXqLFi0i18uWLdP79+8fuX7uuef0++67T1guAN3+RICu\nDxig68ePG79Pnox1q1o1+vvDD6NubdvqEVmAro8dG3V78MFYt4YNo27r10fd0tL0GH1Onzau9+7V\n9dGjdaaur71m/P7Xv3Q9JSXW7U9/0vWjR43f//1vrNsFF0R/L10adWvXLlbXvLyoW35+SR1MPv88\n6la3LlvXn3/W9VGj2G6vvKLr773HdhswwPj9ySex7oCu16gR/b1sWdTtqqucn+P++2PdrFly3bqo\n23vv6fqMGVG3kyej7+P229m6zpun6+++y3YbOFDXjx0zfp86Fetmvg/z+sgR43ebNrG63nVX1N99\n98W6NWvGfo46ddj56pdfdCaArr/+uq6/8w77OQYP1vWiIrZbzZrR3x9/HHVr1arku3vzTeO3/X1c\neWXU36pVUbdLL42VceqUcX3woK4PG8bWZ/58XV++nO122226/uuv7HKemhr9vWIF+zkAXb/nnqjb\nxIkln3HECOP32rVRt9RUtj7Hjun68OFstzff1PUFC9huQ4boTABdr1Ur+nvVqqhby5axzzFhQtTt\n3ntj3dLTo26rV5d8xksvNX6beeLAAUMnlq7vvGM8C8tt6NDo+ygudo7DSkZGrK733ht1Gz8+1i0z\nM+pmzVcXXRSrz4kTxvXhw8Z1kyYln3nBAl1/4w32c9x+u1F+WW6XXBL9/cknUbfmzWP9L1xo6KHr\nun733bHPcdVVUX8ffxx1q1UrVsbvv0fr3dxc+zNwNeWecI0QTJgwAYMGDcK9996LNm3aADAWGu7Z\nswevvvqqb6MkKysL48ePj1wXFhaiW7duvuVa8TP81b07wDU4oVCHnj1xZvSCLcPtvtuwkxU3f1Y3\nJ39ui59K45TBjTey9eBdcMe6zztHXKmS8Z83ze0yeNJK9jlU4/e9euWdzp0B26yjsAwTkfexbh3Q\nuHFJNxXrAXjuq8Lr/aifMnCWYZYLHt3sbqL5zNSBZ1t3p7Cy/nv3jv7mfcbzzwcOHJDXQQauRYWD\nBg3C+vXrceutt6KwsBBbt25Fbm5uZJ7fL9WrVwdgfGmwe/duLFu2DNnZ2b7l8sCTyB98AMgcjBbE\ngiLRQhpEo8v6fluGBg2AGjVi7zk9l2xl4OaPd/EXrww3HSpUcNezJBr3M/IuVnXDfp5AUPh9H6Y7\naw8L3rlVUwfRfNy2rVFJO8ljoboS55VXrlz0t6gRat981k++MtASNn8PlCwf778PfPMN249TeNGO\nj4p6d9Uq4PvvS8aV8EWFANCmTRu0adMG//d//+crwgEDBmDVqlX4+eefUadOHTzwwAMYOnQopk+f\njhEjRuDUqVMYO3YsLrzwQl/x2InXSlO3nrWKijsRuOnUsWP0dDfeMKZbaipw+LA/3YBge6S8valE\noqInV64c+1l5ZXbpAnDuX+aqh0icIjKCrLjddJEZQfPLp58CV17p7O4W9969UeNVxSK2IJ+Td6TH\nnidq1WKfu+AX1XnJ6fC2UmEQWDl58iRCoRDOkehWvPHGG8z7nTp1wjb7x6FS5EPTwpGFHH//u/v3\nw6WhQhdBtMKzwzMV4OVm3Yegf3/jLwiCnlLgbYCuuMI9PI8ME/40D3OHSwR2fZYtc3azwnNCZdAG\ns6kfax8CmfKRqFEAJ/28DDPe92MtH7L5z5ARVl4+/v1vQLTPqMLQVIFsvcuqrzRNUzZiC7hMGWia\nhry8PDz00EORe6dOncKwYcNw0UUXoUqVKrjttttQVFSkTBk15McU9Lw8Y2tV3qFdHnj99ekDdOrE\n59fEqzJ0eg770LtJaWtIvHB6/rfeQmTFsgh+595DIeM7YK+eXmk3LFU0siryUpMmOPMlibNRG+SU\n2sKF7gcsqSaIaUMWso2M3/JhrqkQxW95adXK2GDIxO+0nor3wTtiYcfP1GA4HEZ+fj5/ZB44GgSz\nZ8/G/PnzI/P7APDCCy/glVdewQ033IAJEyZgxYoVWLBggTJl4kHQlZ813N//Dig03hz5/nv+xlI2\n01rhsUhVFD6rv/r1gfbt+cKpnHvnlaGCSy+N/s7K0riOPg5KlyBlWue3WXH5yTteI2i9ewPlz4yL\nGvsQiMnnpU4d49v6IPcTCNoI9Zoy0HWgaVMeo0eT1oF3xIYdb+y1n/SqUgVYtMjdT7w6X36mcLxw\nnDLYsGED1q5diwYNGgAwRgcefvhhtG3bNjLsP2jQIEyZMgWDBw8ORjuF8FjqKoyF2rX5dPFrkVrD\nWy3lKlWMXphJEIvx7LrIuscDvz0HN9zyjkxP7o47otMvjz0Wu5C1tI30+O11uhFEvqlShc+fiik1\nAGf2MzAO3xk+nC9uk3iO2KgoH+ee618PHn38ypDJVy+8EJ1y7tXLn14mskaoiikcLxwNgnLlykWM\nAcD4AmDfvn2YPn165F6DBg3w3XffBaOZYlROGbiFq1uXT47s53pemcfYaCVYWHOvquApHLm5sesW\n/PbynPy3b2+sLJcJK0NKSvSwFtVpHPS8vAzNmgHHj6uT5zRl8N137OOOg8zHJtWqsU8CLS1TBn7i\nNLnhBqCw0M1HWFgmy1+9es7+gpoy+H//zzmMG/GaMlCNo0GQavv25J133kHFihVjdg8EgN+MraWS\nAq/zAayUth6ZHZWLq2SYNct5e2Ug2Dnr117jDydT8ZjwTMMkIp+onpd2OkzLTgrXR8olcUqj995z\n3mtD5TO6HY6qohMgi8q8k5sLrF8vHo6nnPKMBDZrJiabF2sajR4NDBniHUZ1+YgnvCOz7dqxv+7y\ni2MRb9iwIQrPmH0HDx7EG2+8gSFDhuA8y+kp27ZtQ7G5QqjUkM+c4w6FjDl91n0WPXsahwyxUGFx\nq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"text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Variance-covariance matrix\n", "\n", "We can use the variance-covariance matrix of our model to assess how well the correlation structure or our model matches the correlation structure of the real world. The simplest way of \"calibrating\" a DSGE/RBC model is to choose some data targets (i.e., observed variances/covariances of/between variables like GDP, capital stock, labor supply, wages, etc.) and then choose model parameters so that the model variances/covariances are \"close\" to the target values." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# the variance-covariance matrix for the endogenous variables\n", "rbc_order1['dyn_vcov']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 76, "text": [ "array([[ 4.67976180e-02, 2.21319670e-02, 1.28473345e-01,\n", " -5.24076923e-03, 9.08121726e-15, 2.72194951e-01,\n", " 5.58104553e-02, 2.46656510e-02, -3.73111813e-04],\n", " [ 2.21319670e-02, 1.25413158e-02, 5.33295325e-02,\n", " -1.22890323e-03, 2.38620858e-15, 7.83708134e-02,\n", " 2.60957886e-02, 9.59065118e-03, 3.21436992e-04],\n", " [ 1.28473345e-01, 5.33295325e-02, 3.79304021e-01,\n", " -1.88627096e-02, 3.17658024e-14, 9.27604150e-01,\n", " 1.54285686e-01, 7.51438130e-02, -2.80741055e-03],\n", " [ -5.24076923e-03, -1.22890323e-03, -1.88627096e-02,\n", " 1.33964188e-03, -2.16666649e-15, -6.08172506e-02,\n", " -6.42997692e-03, -4.01186601e-03, 3.41703966e-04],\n", " [ 9.08121726e-15, 2.38620858e-15, 3.17658024e-14,\n", " -2.16666649e-15, 3.51817589e-27, 9.91512900e-14,\n", " 1.11049188e-14, 6.69500869e-15, -5.30479750e-16],\n", " [ 2.72194951e-01, 7.83708134e-02, 9.27604150e-01,\n", " -6.08172506e-02, 9.91512900e-14, 2.80566303e+00,\n", " 3.31866407e-01, 1.93824137e-01, -1.42566802e-02],\n", " [ 5.58104553e-02, 2.60957886e-02, 1.54285686e-01,\n", " -6.42997692e-03, 1.11049188e-14, 3.31866407e-01,\n", " 6.66020757e-02, 2.97146667e-02, -5.16640570e-04],\n", " [ 2.46656510e-02, 9.59065118e-03, 7.51438130e-02,\n", " -4.01186601e-03, 6.69500869e-15, 1.93824137e-01,\n", " 2.97146667e-02, 1.50749999e-02, -6.94548805e-04],\n", " [ -3.73111813e-04, 3.21436992e-04, -2.80741055e-03,\n", " 3.41703966e-04, -5.30479750e-16, -1.42566802e-02,\n", " -5.16640570e-04, -6.94548805e-04, 1.22474341e-04]])" ] } ], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [ "# compute standard deviations of endogenous variables\n", "std_vars = np.sqrt(rbc_order1['dyn_vcov'].diagonal())\n", "\n", "# correlation coefficients for endogenous variables\n", "rbc_order1['dyn_corr'] = rbc_order1['dyn_vcov'] / (std_vars[np.newaxis,:] * std_vars[:,np.newaxis])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 77 }, { "cell_type": "code", "collapsed": false, "input": [ "# examine the correlation structure: recalle ordering is Y, I, W, L, zero_profit, K, Z, C, r\n", "np.round(rbc_order1['dyn_corr'], 2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 78, "text": [ "array([[ 1. , 0.91, 0.96, -0.66, 0.71, 0.75, 1. , 0.93, -0.16],\n", " [ 0.91, 1. , 0.77, -0.3 , 0.36, 0.42, 0.9 , 0.7 , 0.26],\n", " [ 0.96, 0.77, 1. , -0.84, 0.87, 0.9 , 0.97, 0.99, -0.41],\n", " [-0.66, -0.3 , -0.84, 1. , -1. , -0.99, -0.68, -0.89, 0.84],\n", " [ 0.71, 0.36, 0.87, -1. , 1. , 1. , 0.73, 0.92, -0.81],\n", " [ 0.75, 0.42, 0.9 , -0.99, 1. , 1. , 0.77, 0.94, -0.77],\n", " [ 1. , 0.9 , 0.97, -0.68, 0.73, 0.77, 1. , 0.94, -0.18],\n", " [ 0.93, 0.7 , 0.99, -0.89, 0.92, 0.94, 0.94, 1. , -0.51],\n", " [-0.16, 0.26, -0.41, 0.84, -0.81, -0.77, -0.18, -0.51, 1. ]])" ] } ], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "# correlation between the real wage and the labor supply\n", "rbc_order1['dyn_corr'][2,3]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 79, "text": [ "-0.83678906606094894" ] } ], "prompt_number": 79 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Going for higher order approximations\n", "\n", "[Research suggests](http://www.sciencedirect.com/science/article/pii/S0165188905001740) that first-order approximations around a deterministic steady state can be very inaccurate. The inaccuracy of first-order approximations is particularly accute when there are lots of binding constraints or other extreme forms of non-linearity. As a rough \"rule-of-thumb\": the more \"interesting\" is your model, the more inaccurate will be a first-order approximation of it! \n", "\n", "These numerical analysis results are largely ignored by economists. Very few papers bother to check the accuracy of their linear approximations (or at least very few papers report any error analysis). Very few papers bother to assess how either the qualitative or quantitative predictions of their models are effected by the order of approximation. \n", "\n", "As we will see, when using `Dynare++`, the marginal cost of generating higher order approximations is extremely low... " ] }, { "cell_type": "code", "collapsed": false, "input": [ "!dynare++" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "# go ahead and compute up to 5th order approximations around the deterministic steady state\n", "!dynare++ --order 2 --no-centralize --seed 42 --check PE rbc_benchmark_answers.mod\n", "rbc_order2 = io.loadmat('rbc_benchmark_answers.mat')\n", "\n", "!dynare++ --order 3 --no-centralize --seed 42 --check PE rbc_benchmark_answers.mod\n", "rbc_order3 = io.loadmat('rbc_benchmark_answers.mat')\n", "\n", "!dynare++ --order 4 --no-centralize --seed 42 --check PE rbc_benchmark_answers.mod\n", "rbc_order4 = io.loadmat('rbc_benchmark_answers.mat')\n", "\n", "!dynare++ --order 5 --no-centralize --seed 42 --check PE rbc_benchmark_answers.mod\n", "rbc_order5 = io.loadmat('rbc_benchmark_answers.mat')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 80 }, { "cell_type": "code", "collapsed": false, "input": [ "# deterministic steady state values do not depend on the order of approximation\n", "Y_bar, I_bar, W_bar, L_bar, zero_profit_bar, K_bar, Z_bar, C_bar, r_bar = rbc_order1['dyn_ss'] " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 81 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# irfs for labor supply\n", "plt.plot(100 * rbc_order1['dyn_irfp_eps_z_mean'][3,:100] / L_bar, label='$1^{st}$ order')\n", "plt.plot(100 * rbc_order2['dyn_irfp_eps_z_mean'][3,:] / L_bar, label='$2^{nd}$ order')\n", "plt.plot(100 * rbc_order3['dyn_irfp_eps_z_mean'][3,:] / L_bar, label='$3^{rd}$ order')\n", "plt.plot(100 * rbc_order4['dyn_irfp_eps_z_mean'][3,:] / L_bar, label='$4^{th}$ order')\n", "plt.plot(100 * rbc_order5['dyn_irfp_eps_z_mean'][3,:] / L_bar, label='$5^{th}$ order')\n", " \n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('% deviations', fontsize=15, family='serif')\n", "plt.title(\"IRFs for labor supply, $L$\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False)\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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R89DSNyljKeeWskkZG3+rT1N5kxo18NFHH7FgwQJKS0tZsmQJLi4urFixAoAFCxbw/fff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\n", "text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(8,6))\n", "\n", "# irfs for consumption\n", "plt.plot(100 * rbc_order1['dyn_irfp_eps_z_mean'][7,:100] / C_bar, label='$1^{st}$ order')\n", "plt.plot(100 * rbc_order2['dyn_irfp_eps_z_mean'][7,:] / C_bar, label='$2^{nd}$ order')\n", "plt.plot(100 * rbc_order3['dyn_irfp_eps_z_mean'][7,:] / C_bar, label='$3^{rd}$ order')\n", "plt.plot(100 * rbc_order4['dyn_irfp_eps_z_mean'][7,:] / C_bar, label='$4^{th}$ order')\n", "plt.plot(100 * rbc_order5['dyn_irfp_eps_z_mean'][7,:] / C_bar, label='$5^{th}$ order')\n", "\n", "plt.xlabel('Periods', fontsize=15, family='serif')\n", "plt.ylabel('% deviations', fontsize=15, family='serif')\n", "plt.title(\"IRFs for consumption, $C$\", fontsize=20, family='serif')\n", "plt.legend(loc='best', frameon=False)\n", "plt.grid()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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A/fr1adKkCfXq1WPmzJnMmDEjy/4WvruQE4NDuVsmla7/a2Woj/FcpS1Ks73n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"text": [ "" ] } ], "prompt_number": 83 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although IRFs are relatively robust to higher order approximations, the variance-covariance matrix of endogenous variables can be highly sensitive to the order of approximation. **This implies that calibration/estimation results are likely to be highly dependent on order of approximation!** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 4: Where to go to learn more:\n", "\n", "[Prof. Lawrence Christiano](http://faculty.wcas.northwestern.edu/~lchrist/) has made his lecture slides and code for some of his short courses avaiable:\n", "\n", "* 5-day course on [\"Formulation, Estimation and Policy Analysis with DSGE Models\"](http://faculty.wcas.northwestern.edu/~lchrist/course/syllabus.htm).\n", "* 3-day course on [\"The New Keynesian Model\"](http://faculty.wcas.northwestern.edu/~lchrist/course/CIED_2013/syllabus.html).\n", "\n", "For more details on perturbation theory (and pretty much anything numerical methods related!) see Prof. Wouter Den Haan's personal [website](http://www.wouterdenhaan.com/). " ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }