{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model\n", "\n", "Factor accumulation:\n", "\n", ">(1) $ \\frac{dL_t}{dt} = nL_t $\n", "\n", ">(2) $ \\frac{dE_t}{dt} = gE_t $\n", "\n", ">(3) $ \\frac{dK_t}{dt} = sY_t - δK_t $\n", "\n", "Production function:\n", "\n", ">(4) $ Y_t = K_t^α(L_tE_t)^{(1-α)} $\n", "\n", "Definition of capital-output ratio:\n", "\n", ">(5) $ κ_t = \\frac{K_t}{Y_t} $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solving for the rate of change of the capital-output ratio:\n", "\n", ">(6) $ Y_t = κ_t^{(α/(1-α))}(L_tE_t) $\n", "\n", ">(7) $ \\frac{1}{K_t}\\frac{dK_t}{dt} = \\frac{s}{κ_t} - δ $\n", "\n", ">(8) $ \\frac{1}{Y_t}\\frac{dY_t}{dt} = α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) + (1-α)(n+g) $\n", "\n", ">(9) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = \\frac{1}{K_t}\\frac{dK_t}{dt} - α \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(10) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{1}{K_t}\\frac{dK_t}{dt} \\right) - (1-α)(n+g) $\n", "\n", ">(11) $ \\frac{1}{κ_t}\\frac{dκ_t}{dt} = (1- α) \\left( \\frac{s}{κ_t} - δ \\right) - (1-α)(n+g) $\n", "\n", ">(12) $ \\frac{dκ_t}{dt} = (1- α) \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", "Integrating:\n", "\n", ">(13) $ κ_t = \\frac{s}{n+g+δ} + e^{-(1-α)(n+g+δ)t} \\left[ κ_0 - \\frac{s}{n+g+δ} \\right] $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discretizing for a difference model:\n", "\n", ">(14) $ κ_{t+1} = κ_t + \\left[ \\frac{1 - e^{-(1-α)(n+g+δ)}}{n+g+δ} \\right] \\left( s - (n+g+δ)κ_t \\right) $\n", "\n", ">(15) $ 1 - α' = (1 - α) [ 1 - \\frac{(1-α)(n+g+δ)}{2} + \\frac{(1-α)^2(n+g+δ)^2}{6} - ... ] $\n", "\n", ">(16) $ α' = 1 - (1 - α) [ 1 - \\frac{(1-α)(n+g+δ)}{2} + \\frac{(1-α)^2(n+g+δ)^2}{6} - ... ] $\n", "\n", ">(17) $ κ_{t+1} = κ_t + (1- α') \\left( s - (n+g+δ)κ_t \\right) $" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Solow_delong:\n", " \n", " \"\"\" \n", " Implements the Solow growth model calculation of the \n", " capital-output ratio κ and other model variables\n", " using the update rule:\n", " \n", " κ_{t+1} = κ_t + ( 1 - α) ( s - (n+g+δ)κ_t )\n", " \n", " Built upon and modified from Stachurski-Sargeant \n", " class **Solow** \n", " \n", " \"\"\"\n", " \n", " def __init__(self, n=0.01, # population growth rate\n", " s=0.20, # savings rate\n", " δ=0.03, # depreciation rate\n", " α=1/3, # share of capital\n", " g=0.01, # productivity\n", " κ=0.2/(.01+.01+.03), # current capital-labor ratio\n", " E=1.0, # current efficiency of labor\n", " L=1.0): # current labor force \n", "\n", " self.n, self.s, self.δ, self.α, self.g = n, s, δ, α, g\n", " self.κ, self.E, self.L = κ, E, L\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", " self.α1 = 1-((1-np.exp((self.α-1)*(self.n+self.g+self.δ)))/(self.n+self.g+self.δ))\n", " self.initdata = vars(self).copy()\n", " \n", " def calc_next_period_kappa(self):\n", " \"Calculate the next period capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, α1, g, κ= self.n, self.s, self.δ, self.α1, self.g, self.κ\n", " # Apply the update rule\n", " return (κ + (1 - α1)*( s - (n+g+δ)*κ ))\n", "\n", " def calc_next_period_E(self):\n", " \"Calculate the next period efficiency of labor.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " E, g = self.E, self.g\n", " # Apply the update rule\n", " return (E * np.exp(g))\n", "\n", " def calc_next_period_L(self):\n", " \"Calculate the next period labor force.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, L = self.n, self.L\n", " # Apply the update rule\n", " return (L*np.exp(n))\n", "\n", " def update(self):\n", " \"Update the current state.\"\n", " self.κ = self.calc_next_period_kappa()\n", " self.E = self.calc_next_period_E()\n", " self.L = self.calc_next_period_L()\n", " self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n", " self.K = self.κ * self.Y\n", " self.y = self.Y/self.L\n", "\n", " def steady_state(self):\n", " \"Compute the steady state value of the capital-output ratio.\"\n", " # Unpack parameters (get rid of self to simplify notation)\n", " n, s, δ, g = self.n, self.s, self.δ, self.g\n", " # Compute and return steady state\n", " return (s /(n + g + δ))\n", "\n", " def generate_sequence(self, t, var = 'κ', init = True):\n", " \"Generate and return time series of selected variable. Variable is κ by default. Start from t=0 by default.\"\n", " path = []\n", " \n", " # initialize data \n", " if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "\n", " for i in range(t):\n", " path.append(vars(self)[var])\n", " self.update()\n", " return path" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 100\n", "\n", "s_base = Solow_delong(κ=4.0)\n", "s_base.scenario = \"base scenario\"\n", "s_alt = Solow_delong(κ=0.5)\n", "s_alt.scenario = \"alt scenario\"\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(3,2,1)\n", "for s in s_base, s_alt:\n", " lb = f'capital-output: {s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " ax1.plot(s.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax1.legend()\n", "\n", "ax2 = plt.subplot(3,2,2)\n", "for s in s_base, s_alt:\n", " lb = f'efficiency-of-labor: {s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " ax2.plot(s.generate_sequence(T, var='E'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax2.legend()\n", "\n", "ax3 = plt.subplot(3,2,3)\n", "for s in s_base, s_alt:\n", " lb = f'labor-force: {s.scenario}: initial κ ={s.initdata[\"κ\"]}'\n", " ax3.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax3.legend()\n", "\n", "ax4 = plt.subplot(3,2,4)\n", "for s in s_base, s_alt:\n", " lb = f'capital-stock: {s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " ax4.plot(s.generate_sequence(T, var = 'K'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax4.legend()\n", "\n", "ax5 = plt.subplot(3,2,5)\n", "for s in s_base, s_alt:\n", " lb = f'output: {s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " ax5.plot(s.generate_sequence(T, var = 'Y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax5.legend()\n", "\n", "ax6 = plt.subplot(3,2,6)\n", "for s in s_base, s_alt:\n", " lb = f'output-per-worker: {s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n", " ax6.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax6.legend()\n", "\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 100\n", "\n", "s_base = Solow_delong(κ=1.0)\n", "s_alt = Solow_delong(κ=10.0)\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(3,2,1)\n", "ax1.plot([s_base.steady_state()]*T, 'k-', label='steady state')\n", "for s in s_base, s_alt:\n", " lb = f'capital-output; initial κ = {s.initdata[\"κ\"]}'\n", " ax1.plot(s.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax1.legend()\n", "\n", "ax2 = plt.subplot(3,2,2)\n", "for s in s_base, s_alt:\n", " lb = f'efficiency-of-labor; initial κ = {s.initdata[\"κ\"]}'\n", " ax2.plot(s.generate_sequence(T, var='E'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax2.legend()\n", "\n", "ax3 = plt.subplot(3,2,3)\n", "for s in s_base, s_alt:\n", " lb = f'labor-force; initial κ ={s.initdata[\"κ\"]}'\n", " ax3.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax3.legend()\n", "\n", "ax4 = plt.subplot(3,2,4)\n", "for s in s_base, s_alt:\n", " lb = f'capital-stock; initial κ = {s.initdata[\"κ\"]}'\n", " ax4.plot(s.generate_sequence(T, var = 'K'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax4.legend()\n", "\n", "ax5 = plt.subplot(3,2,5)\n", "for s in s_base, s_alt:\n", " lb = f'output; initial κ = {s.initdata[\"κ\"]}'\n", " ax5.plot(s.generate_sequence(T, var = 'Y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax5.legend()\n", "\n", "ax6 = plt.subplot(3,2,6)\n", "for s in s_base, s_alt:\n", " lb = f'output-per-worker; initial κ = {s.initdata[\"κ\"]}'\n", " ax6.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax6.legend()\n", "\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T = 100\n", "\n", "s_base = Solow_delong(κ=1.0)\n", "s_alt = Solow_delong(κ=10.0)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot the common steady-state value of the capital-output ratio\n", "ax.plot([s_base.steady_state()]*T, 'k-', label='steady state')\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'capital-output series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'efficiency-of-labor series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var='E'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'labor-force series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'capital-stock series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'K'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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OlagPeeiKZc7wxrNrYQUYZ5MdBm/41MdcXvP4OdK6dq1rn+917VNd0a5V7iJCMWc6Rgpp8DZBdNVYx8glt49e1hzx8euOQQAaw14awyZNsqrGP2e3urACjDOcNIzKxMBfc/rXU3ntBLSuXeva53tde2trK8ePjx1tTraivXJda2srxWKReDxOXV3dOX2miCwilY6R+HFTdxFogE2/Dw4HDJ+YsGOkxu8mnikQ9btZUxcY3T7+/sta5+y2z1qDYVnWtyzLOmlZ1mmFDpZlfdyyLNuyrLk5o916s4nSMjGwy7PS56t17VrXPt/r2i+77DLefPNNjhw5Qj6f5/vf//6EJ2i33HIL3/nOdwB49NFH+d3f/V2dYIgsddW1h3YZ4l3Q9SJs/D343f862jFC83bau+N85aeH+Mh3fs1P2nvZ2Bhg5+ooJxO5Wdk+Pl1TOcF4GPg68N3qBy3LWg3cAByb/duaRPN2uPqesUhuFvp8q9e1A6Pr2oHRde3r16+fcF273+8f/Q94ZV17uVwePWm46667eM973sPll1/O9ddfP+G69r17956SUvnlL3/Jl770JdxuN6FQiO9+97unrGuvHL1/4QtfYPPmzZN+X5V17R/72MeIx+MUi0X+8i//ks2bN/OhD32IeDyObdvnvK79zjvv5Etf+hKNjY18+9vfntbrZ2Kinz2cuq59w4YNU1rX/p73vIdsNott26esa7/rrrt44IEHePTRR0fXta9du5YdO3aMBhXjr3vkkUf46Ec/yhe+8AUKhQK33XYbu3btOuUze3p62LNnD8PDwzgcDr761a9y8OBBIpEIX//613n3u99NqVTizjvvZNu2bYD5Z3DPnj3ccsstfPjDH+b2229n48aN1NXVjQZ5IrKEVTpGKEPsuFlmFt0ER56CdWP/nqt0jXhdFslsgVyhTLrg4o8vXjWnQUW1Ka1rtyxrHfBvtm1vr3rsUeDzwOPAHtu2+8/2PlrXLnL+LYU/UyIy4rE/B38t9LxqOkdq1kK0FYa7zOnFiK/89BBD6TzHB9Ok8yUaQh4aw16ifg/33jD5/4zO1Kyva7cs6xagy7btl892RGtZ1t3A3QBr1qw5l48TERFZnsItpmMETO1FzWrIxE/bMdIVy5DJF0nnS/jdTtY3hLAs5rRrZLxpz8GwLCsAfBr47FSut237Qdu299i2vaexsXG6H7coaF27iIjMunIZ3AHIxsGyoH6jCS4mqD10Oy06hzI4LNjUFMLpsEhki3PaNTLeuZxgXACsByqnF63AbyzLuty27Z7ZvDkREZFlp9I10vmCaUtt3ArRlZDsmbD2sC+Rw+WwyBXLrK0P4HM756VrZLxpBxi2bb8KrKh8bVlWB1OswTjDe6oaXmQWaLKnyCJX6Ropl8wgyWIeihnY8SenBBXt3XH2t/VyfDDNQCrHqho/f3JpK/Fska5YhlU1ft5/Weu8FXjCFAIMy7K+B7wLaLAsqxP4nG3bD83WDfh8PgYGBqivr1eQITIDtm0zMDCAz+c7+8UisjC17wOH2xRxWhY0XWTSJO37RgOMSsdI1O8iky8SS5vTig9cvoYdrdPrCjyfzhpg2Lb9gbM8v24mN9Da2kpnZyd9fX0zeRsRwQTsra3zdyQqIjM0eBiSJ83Mi3AzRFrAtifcM5IplBhMFwh6XaytC/Cz9pOLK8A439xuN+vXr5/v2xAREZlfpYIp6MwlINwEdRcAlnls3J6RsM/J0YEUABsag9QG5nbPyFTMe4AhIiKybFWPAc8nweUDyhAeWRcwwZ6RFWEvv+4YxGFZNEd91Afnfs/IVCyude0iIiJLRfUY8HIRYp0wdAQu/TAEG0wdhr/GTLAeqb8ol238bgeJbBGXw2J1rX+0Y+TG7U3z/A2dSicYIiIi86EyBrxcgHinGQNeswmGO09Z4NneHWf/Tw/RFctQLtv43A6uvqAer8tBz3BuQXSMTEQBhoiIyHyIHwdvGPpHllfWrTeTO6sKOsc6Rtz43A5e7YyTK5a578YtXHfhwjqxGE8pEhERkfkQbIQTv63qGFkJ2eFTCjorHSNel4PDfSl8bicbGoK8dDw+jzc+NQowRERE5loxB5YD8ilweKB2/YRjwLtiGQIeJ4d6E5TKNrVBDxesCC64jpGJKEUiIiIyV3ra4OAT0PG0GaTVvBsizZDonnAM+KoaH690xkjny/jcDi5oDJLIlhZcx8hEFGCIiIjMhUrXSHbYfF0qQjEF2/7olKCi2tr6AP/ntV4CHic7VkVI5UrzvmNkqhRgiIiIzIX2fSY1kouDwwktu8yUzqox4DC2Z+RQb4KhVJ719QEawj5imeKC7RiZiAIMERGRudDbBukhsICGTeCLmgLPCbpGAm4Hw5k8mUIJZ87iY7+3elEEFdVU5CkiInK+DZ8wqZFiFmrWQnBkKfkEXSNhn4ue4RzFMjRFfGxsDLG/rXeebvzc6QRDRETkfKiMAR98C5L94K8FbDP7wi6b4GLcGPCuWIZMvkgyV8TjcrBpRQiHw1oUXSPj6QRDRERktlUKOtP9kI6ZBWbJHrj0ThNoTDAGHMDpsOgcyuCwYEtTGJfTjAVfDF0j4+kEQ0REZLa17wNvxIz9LmYgUAe1a6H/jVPGgFc7PpjG7bDIFcusqw/i9zhH94wshq6R8RRgiIiIzLb4ccglzap1pweatplfqwo6YaxjpGMgRX8yx9q6ALdfuYaTiTxdscyi6hoZTwGGiIjIbCuNLDDzBk1w4fKZralVBZ2VjpGwz8VwJk8yW+RQb4IPXbGWi1YtvoBiPAUYIiIiM1Up6IwfB8tp5l2UchDZDO6ACS7GFXSaPSMu+hI50vkyNQE3a+oC/J+DvQowRERElr1KQaevBpxe6H4FSlnY8SdQSJugY4Ix4F2xDLZt05/M43RYbG4K43M7F2XHyEQUYIiIiMxE+z4TXFgWDLwJbi9EV5ngYpKCToCAx8nLx2P43E4uaAwR8LiIZwqLsmNkImpTFRERmYn4cTP6++TBkdXrLdC4+bSCzmr9yRwWkCuWqQt6qAm4RztGbtzeNHf3fh7pBENERGQmgo1w7HlwOCBQD3UXmO6RqoLOivbuOP/2cjfPvNWP1+3kdzbWE/K66IplF3XHyEQUYIiIiExXpahzqAMGOyDdZwKKhk0muBhX0AkmuPj/njpCfyKH1+XAaVkMJPO899KlE1RUU4pERERkOkandA6Y7pBywcy4qFkDiZ4JJ3QC7G/rIZHJUyiV8bgc7F4dpSbgWZR7RqZCJxgiIiLT0b4PvFFInIB8AvxRs3o9tOKMRZ2vdMVJZYs4HRZbmsN4XE5cTseS6RoZTwGGiIjIdMSPQz4FmUFwuKBpuxmkdYaiziP9KdK5Erlime2rooS8boBFu2dkKhRgiIiITJVtQykPsePgGZnSWRmkNa6oszIG/HBfkoFUnrqAm2TOwu10ULZtEtniot0zMhUKMERERM6kekqnDRTzJsiIbgZPaMIpnZUx4EGPk1g6TypXpFiyueOqNRw6mVr0e0amQgGGiIjIZKqndFoOM+uilINdHzAr2CeZ0rm/rZewz8WJWIZ8yaY+5KW11s+hkynuvWHzPH5Dc0cBhoiIyGQqUzrLBRg8Am6fWbueS5yxoLMrliGdK5DIFvG4HGxpDuNyWEu2oHMialMVERGZTPw42EXoPwTYULsO6jeesaATwLZtumLZsY4Rp2NJF3RORCcYIiIik/GEoesAuDwQWQXRVsicPqWzUtDZFcvgdTpI54rkimU2NHrxu52jY8CXakHnRBRgiIiIVKsUdfa/AUNHzWTOhk0mNZI5fUpnpaAz6ncT9JoFZtlCmZt2NlMosSwKOieiAENERKSiUtTp9EBqALBMO2qoBYZPTFrQGfW78boctHXF8bqcNAS9FEosm4LOiZw1wLAs61vATcBJ27a3jzz2JeBmIA+8Dfwn27Zj5/NGRUREzrv2fWZoVuwo2CWIrDTbUQN1kxZ1dsUyNIY8HOwepli2qQm42bQitKwKOicylSLPh4Ebxz32U2C7bds7gUPA5KW0IiIii8XgYRNclPLgi8KKC81ukTMUdbZEfbzSGSdbKBPwONm0IkQyV1pWBZ0TOWuAYdv2U8DguMd+Ytt2ceTLfweWT9WKiIgsTbkEpAchOwzeCKy4CCyn+XqC1etgukVCXicDqTxl22Zzc5hkrkQ8U+DG7U1z/A0sLLNRg3En8IPJnrQs627gboA1a9bMwseJiIjMktG160dMcOEJmiLO6CozWGuCKZ0w1jVy4NgQ+WKZTSuCNNf4GUjml2VB50RmFGBYlvVpoAg8Mtk1tm0/CDwIsGfPHnsmnyciIjJrKgWd3pAJLtKDYA3CZf8PDB2edEpnpWskXyqTL5TIF8vkizZ/fPGqZR9UVDvnAMOyrDswxZ/X27atwEFERBaX9n0muIh3QiENgVqoWWuCizNM6dzf1ott2/QncliWxUUrI3hcTva39SrAqHJOAYZlWTcC9wHX2radnt1bEhERmQNDR83K9XzSdI407QCn+6xTOt88mWAwmQMsWmv9NIZ9lG172XeNjHfWIk/Lsr4HPAdssSyr07KsDwNfB8LATy3LesmyrG+c5/sUERGZPcW8qa1I9ZvgonkHuLxnLOgEGEzliacLZAplVoTNAjNg2Y0Bn4qznmDYtv2BCR5+6Dzci4iIyPkzWtB5FHJxM0yLMtSsNr8/S0Hn0YEUg6k8EZ+LfKlMXdBD2YZEdvmNAZ8KTfIUEZGlb7SgM2xGfyd7zSCty+4yKZGzFHSGvU7imTzxjNmQuvfqtRzuTy/bMeBToQBDRESWvvZ9JrhIdJvTC1/EFHTGj5+1oDPic9Edz5LOl6kJuFldG+Bwf3pZjwGfCgUYIiKy9MWOmkVlldRI8w5Te3GWgs6uWIZ0zqRA3E6Lrc0R3C6HCjqnQAGGiIgsTZWai9hR6HwRHC4IN5vgwh0wNRdnKOi0bZtCsUxXLEvQ6+LC5gjekdXrKug8OwUYIiKy9FTXXGTiYLkg0QP1m8zJxSQFnTBW1PlyZ4y+RI50vsimFSH8HhNcqKBzahRgiIjI0lOpuRg+YdIikWZo2AiZARjumrCgE8aKOovlMulcEZfDYkXIi9floDueVUHnNCjAEBGRpWfoqDmhyA2fWnMx3AW3/s9JX7a/rRew6Rs2Uzq3tkTwuZ1E/W4VdU6TAgwREVlaClkTXCRPmm6RKdZcABzqTTCUymFjsarWT1NEUzrPlQIMERFZ/EaHaHVAdgicPswQrbVnrbmoODmcJZ4xUzrX1gdYrSmdM6IAQ0REFrdKQaenshV1ACibIVqxY5MO0YKxgs4j/SkGUzmiPhfFsk1tQFM6Z0oBhoiILG7t+8AThPgxKKTAX2vGf8eOnXGIVqWg0+92MJjKkcgWyRZK7L1qHW/2pTSlc4YUYIiIyOI2eNicXBQzptaiafuUtqLub+sl6HHSGctQKNk0hr2sjPp5sy+lgs5ZoABDREQWn0rNxeBbcPwAuH3m1KJp+9jisrMUdB4bTBNL58jkywQ8TrY0h3FYlgo6Z8lZ17WLiIgsKJWai0Q3JAdMEWfqJLiDZlpnpaBz682TvkW+WCaRKTCYKuBzO7iwJYLL4VBB5yzSCYaIiCwu7fvMKUXsKJQLUL8eVlxoggxP4KwFnZ1DaRLZIm6nRdm2WVXjx+WwNKVzlinAEBGRxaXvdVNzYZdMQeeKrYBlgotJhmhVCjojPhepXJHe4Sylss3tV63lRCyrgs7zQAGGiIgsHpWCznwKoqug8UKwHGetudjf1kvU76IvkWcoXSDodbG6zs+JWFYFneeJAgwREVnYKgWdvW2QjYO/DuwyhFrM81MYotUVy5DNF+lP5nE6LC5sDhP0ulTQeR4pwBARkYWrUtBZLkJ6CIpZc2Jx2UdMquQMQ7QqKmvXjw9lTLdIU5iwz6216+eZAgwREVm42veZoCLVBxbQuBm8ERNcnGGIFowVdf722BADqTzpfJELGoOEfC4VdM4BBRgiIrIw2TZ0vmCWl1kW1G2AyCqTHjnLEK1KUWc2b6Zzuh0WK0I+/G6n1q7PEQUYIiKycFTqLWLHoJgzBZ2WC1p2QmiFuSY7fNYhWvvberiBMs8AACAASURBVMkVSgymC1iWxfZVUVxOh9auzyEFGCIisjBU6i28EcglYPgE5JIQaTFzL+yyCS7OUtAJ8EpnjFSuiGVZXNAYpD7k1dr1OaYAQ0REFob2feANwXCn6RbxhkwbqssL/popbUXtimVwOiz6EjmcDouLVkZoDPsArV2fawowRERkYaheWub0mL0ibj8Md01pK2rU78ZhwevdwySzBRrCXrwuJ2XbJpEtqqhzjinAEBGR+VOpuRh4EzoPmIAi2gpN28yOkSksLTNDtNzkiiWODqTxuZ20rooS9buJ+t2a0jlPFGCIiMj8qNRcOFyQ7AOX3+wTabxwbCPqFOotTFoEOvrTAKytD9AU8dEd15TO+aQAQ0RE5kf7PsA2S8vsMjRuAmsrpHrPuLRsPLfT4uCJYXxuJ2vqArRE/RqitQAowBARkflx4remS8QCQs1QvxGwweOfdGlZRaWo87UTcXriWZI5U8DZHPVpiNYCoQBDRETmRqXeIn4cSgVI9oLlhMYtULMasCATP2vNRaWos1guM5wp4HRY1Afc1AbcGqK1gCjAEBGR8++UGRdJiHeaWRehJvOYbZvW1CnUXOxv66VYLnNyOIdlWWxuMovLNERrYVGAISIi51/7PvBUz7gImr0iLv9ZZ1yM19YVJ5E1EzrX1AVYWePXEK0FSAGGiIicfwNvQWZkG6rTa9pQpzDjYryXjsdI5IrkimW2NIdpiZpCTg3RWnjOGmBYlvUt4CbgpG3b20ceqwN+AKwDOoA/sW176PzdpoiILCrV9RbeCAx1mDRIsB5WbDPTOacw4wLGCjpf6YyRypeoD7jJFB0EPC4N0VrAHFO45mHgxnGPfQr4uW3bm4Cfj3wtIiIyVm+RiZl5Fp0vmtOLUgFq1oDTPTbjYuvNZ3yrSkHnm70JUrkiuUKJbLHM+y5tJeo3RZ1Rv5u7r1mvos4F5qwnGLZtP2VZ1rpxD78HeNfI778D/BK4bxbvS0REFqv2feCLQm7YzLhweaBhiynoDDRMq95if1sPmXyRoZGtqBe1RPC6nRzqTamgc4E71xqMJtu2uwFs2+62LGvFLN6TiIgsZrFjkE9Dug+woG49hJvNdtRp1FvYts1vj8XIFkqjW1Ebwz4VdC4S573I07Ksu4G7AdasWXO+P05EROZDpeZi6IjZKeJ0Q7DRzLgI1E+73qIrliFfLDOYyuNyWGxfFaU+5AVU0LlYTKUGYyK9lmW1AIz8enKyC23bftC27T22be9pbGw8x48TEZEFq1JzMXzC7BRxuCHZA74I+GunXW8Rz+TJ5oscHUiRzBbwuZ24nA7Ktj06pfPG7U1z9M3JuTrXAOMJ4I6R398BPD47tyMiIotO+z7za6wDSjmoWwvrrzWFncNdZs7F1fdMod6il4jPRV8iR18yT8Dj5JK1tWxoDKqgcxGaSpvq9zAFnQ2WZXUCnwO+CPyTZVkfBo4B7zufNykiIguUbcOJ30AuZXaKBBuhYRNggSd41p0i1TqH0iRzRWJpM/57S1OYkM+lraiL1FS6SD4wyVPXz/K9iIjIYlCpt4gdg2IGkicn2CkyvZqL44NpXjoew+WwaAh72doSJuR1ayvqInauKRIREVmOKvUWqT5ID8DQMbNbxO0f2ykyzZqLwVSOeCaP0wG9iRxhr4uAx6V6i0VOo8JFRGTq2veZIs7BI6bewh81Y78drmnvFNnf1kvQ46RzKEM6X6I56ueChhCDmYK2oi4BCjBEROTMqsd+H38e3GHwBsyJxYqtJriY5k4RgI6BFEOpHLmijc/tYGtLBLfTQXc8y/3v23WevhmZK0qRiIjI5CopkfQQFHOmmDN+1GxBbd5hRoFnh6dUb1FtIJljKJUnnikS8DjZtjKK1+XUjIslRCcYIiIyuVPWrMfMRM50v2lBhbF6i0tuP/tbjRR0vnUySSydJ+JzkcwVaa3143RYozUXWlq2NCjAEBGRyfUfMkFEKWdOK9bshEIGug6YtMgU6y0qBZ0OCwZTOdL5EvlSmb1Xr+XtvjRdsYxqLpYYBRgiIjKmut7C6YHBDrAsCDVC41azZt224cI/nFbNxf62XmzbpiuexbahtdZPQ8jL231pzbhYohRgiIiIUam38EagkIOTr0MubjajRsetWZ9CSqTaq11xklmzEbU56mNdfYCyjZaWLWEKMERExGjfB56AOb3IDZvf164FXw0E6qbVglq9tKxctjk5nMXpsNjcFGZljQ+wSGQ1RGspU4AhIiJGX7s5oSgXwemFFReOFHhOrwW1Um8R8bnI5oscH8qQzBZojPgIel2UbUhkVdC51CnAEBFZrqrrLbDMVE7LYTpFGreYGowpjvyutr+tl7DPRW/CtKIGPE42NNbidzuJ+t0q6FwmFGCIiCxHo/UWITPHYviESYv4ayHSaoZnnWO9xbHBNMOZPMlcCZfDYktzmKBXS8uWGwUYIiLLUfu+sS6RYsYEGg0bwR2EQO206i1grOaiYyDFS8eG8LqcNEV9bG0O4x/ZK6J6i+VFAYaIyHJRnRI59u/giZiR357gWAvqOYz8rtRceJwW/YksHpeDvmSOjSuCeN1ODdBaphRgiIgsB6MpkbAZ951Pm2mcKy+Bll1m3fo51FuAqbmwsDk+lKVUhnUNITY3QV+yQEBLy5YtBRgiIstBJSUy1AGFNIRbzLr1zBBgnXO9BcBrJ+IkMgWwLBpCHjY0hgDwe7S0bDlTgCEistTZNnS/BLkkYIM7AKsuNcWd0xz5DafPuOiJmxkXGxpDrKnzA5ZqLkQBhojIklSptxg6aoo4Ez0mDVK7FuouAIcTivlpj/yunnGRzhXoimVHZlx4ifrdmnEhoxRgiIgsNZV6C6cHkidN6iOXhNAKCK4wu0XOMSWyv62XkNfJiViG4WyRoNfFBY1BfJpxIeMowBARWWran4Bi1qQ+7DIE66F5hxmi5a+ZdgtqtSP9KeLpPNliGY/TwZbmMH6PUzMu5DQKMEREloLRlMgROPos+OvMbItwC9RtMNecQwsqjNVcvHkywaudcfxuJ6tq/WxpDuN1OVVvIRNyzPcNiIjIDFVSIrGjkOiFUhHinRBqgvqN5uQiO3xOLaiVmouO/hSDyRw+t4P+VJ6g14nb6RidcXHj9qbz8I3JYqYTDBGRxe7g45BPQCYO2FB/ASS6TYFn/UYTXJxjC+r+th4y+SJD6QJgsbUlgm3b9Cby+NyacSGTU4AhIrLYVE/kDNTB278Ab9ScVNSsNScVyd5zakGtViiVeeHIIKWyjWVZrK0P0BL1UbbB69aMCzkzBRgiIotJJR3iGwkojv676RSxXLDud8AbMde5fNNuQYWxeoujAykS2SKJbBGPy8H2VRFqAx7AtKGq5kLORjUYIiKLSfs+szsk0Q2Dh8HlgbqNUC5AuWy6RiotqFtvnt5bj9Rb9Axn6E/m6E/myBZKBD1OHJZF2bZVcyFTphMMEZGFrDodEl0Nx54zj5eLZqV6/UYI1JvrZtiCur+tF9u2OT6YpVS2aQx72bEqStm2NeNCpk0BhojIQjWaDqmBUDOceAlOHoRAg2k9bdhkUiGZGLTsPKcW1ArbtnnpeIxMvog1bqeIZlzIuVCAISKyULXvM8GFw2F2iRSzEGg0o7+jrWZS5wyWlFXqLY4PpckWSgwkczgdFpubwqys8aGdIjITCjBERBaq2DFTWzHcDdim9qJlNwweAX/tjNIhlXqLgNvBUCrPYCpPKl+kKewj6HVpp4jMmAIMEZGFpFJz0X8ITvzWpEAC9SaQqFljZlrMMB0Cpt7C5YCjg2kKJVNjcWFLGKdlqd5CZoUCDBGRhaKnDZ59APIZSA+A02fmWdRtGAsuzjEdAqeuWT9wdJCQx0nA6ybid7N5RQiHw1K9hcwaBRgiIgvFy9+H4ROm1dQCWrZDaSukemc0MAtOXbOeKxRJ50oMpQrsXuNla3MYy1K9hcwuBRgiIvOlkg6JHTNfd/4ago3g9pv2U3+tCTY8frj1f87oo/a39RL0OOmKZUhkizRFvAymCgylCtjAcEb1FjK7ZhRgWJZ1L/ARwAZeBf6TbdvZ2bgxEZElrdKC6vRAqt+kRLIxCK6AlRebGRdwzkvKxnvrZIJ4ukChbONxOti+vp5UrsDLnXG649opIrPvnAMMy7JWAR8DLrJtO2NZ1j8BtwEPz9K9iYgsXQcfh3wKsl3mlMJfY04vhjshlwRfZEY1F9X1Fm6HxfHBNJZl0Rj2srkpjNvpoFS2+f2LmlVzIefFTFMkLsBvWVYBCAAnZn5LIiJL1GiHyBtw/Hkz08IbgnAL1K4zu0Usx4wnclbqLcI+F9l8kTeHMgxnCkQDHlbV+HE6rNGR30qJyPlyzgGGbdtdlmXdDxwDMsBPbNv+yfjrLMu6G7gbYM2aNef6cSIii1tPG/zqa1BIQToGZdsUbm64zqxXh1mZyAmm3sLvdtA1lCGZKxLwOFlbX0PI66Im4FELqsyJmaRIaoH3AOuBGPBDy7I+ZNv2/6q+zrbtB4EHAfbs2WPP4F5FRBav3/wDxLtMd4hlQfMOGDpsFpbVrZ9xC2q1Q70J4pk8pTJ4XA62NIXxe5xqQZU5NZMUye8BR2zb7gOwLOtfgKuB/3XGV4mILAeVdMhQB5Ty0PPqSIdI0OwQ8UYgshK6Dsy4BRUqNRc9vHw8zpsnEwQ9LtY3BtnYGMLldKgFVebcTAKMY8CVlmUFMCmS64EXZ+WuREQWs0qHiF02g7JyScjGIbLKdIhYDnOdywcX/uGMUyLt3XG+8eRhhlJ5soUSAY+TWCaP1xXGoXoLmSczqcF43rKsR4HfAEXgt4ykQkRElpXxK9VjxyHZB6WRrv1wkzmtGDpiUiEz7BAZ758PdHEilsFhWbicDq66oIFYKk/PcA6Py6l6C5kXM+oisW37c8DnZuleREQWn+qV6uEWOPk6HHnSjPb215jukHAz2DaUSzPuEIHTW1Bf6BikPugh6HWyeUUYr9tJ1O/G43Zy//t2zf73LDIFmuQpIjIT1SvVe14xsy1cPsgNw8brzSAtMCmSWegQGW1B9bpI5wp0xbLE0gXqQx62rYzisCwAEtmiai5kXinAEBGZruqUSPdLEGyGUg6wTXCx5krzeD4NPtespkP2t/XidVkcG0qTyZt6ix0rI/QkciSyRcI+F4lsUTUXMu8UYIiITMdoSiRqxnmnYzDcDTVroXHzyNbThJlvMcvpkFU1fp4/PADY2Fj43U42N4Xwup24uoe1Zl0WFAUYIiLT0b7PpD3ix03aI9gAiR7TMVKzduy04up7zrnldPSjRtIhUb+bFWEvr3bFePNkkvqgh01NYdY3BEencm5bGdWMC1lQFGCIiJxJdTok3GIKOB0eMzDL6YZVl4Jdgq7fzMo8i2r723qJ+t24nRYHu4fJ5Es0hNzkimUawx4sC7WgyoKlAENEZDLj0yEdz5jBWYEGaNoOtWvN45nYrMyzGK8rlsHpgDd60pRt8LudbN/UyNGBNFG/Rn7LwqYAQ0RkMpV0SOyY6QpxOCG6BvJJCNSbgVmZ2KwVcMJYzcWxwTSvdsVwYFEb9NAY9rKuPkgyV1Q6RBYFBRgiIhXV6ZBQs0mHOL1j6ZDa9abmoue1WSngHK9Sc+F2WvQnslhAbyLHyhof6xuC6g6RRUUBhogIjKVDvFHAgo6nIXbUrFRv3m66QyrpkFmYZzGR/W095AolumN5bGB1XYALGkIMZgp0x7NKh8iiogBDRJav6hOLoQ6zgCw9AIW0ObGIrjXpEH/deU2HdMUyNIa9PHWoj6DHiWVZNEd9rKkLANAdz2oipyw6CjBEZHmqHvHtr4O3fwGlAkRbTX1F3QaTBjnP6ZCo343P7eCFIwP0xLOsiHi5fF0dNQEzAVRbUGWxUoAhIstT+z7whiAzCIluk/4ol8xfqy4dO7E4b+mQXsI+F4OpHL3DOVwOB6tr/WQKJSzLomzbqrmQRU0BhogsD9XpkMgq03LqcINdBCyo3wSJE1DKm+tnOR0Cp6ZEXu6MEfE6cTmdWBasqQvQFPHS3p3QRE5ZEhRgiMjSVz3PwuWHo8/CwJtmnkXdetMd4g1D/1uQ7J71gVlQnRJxgW0znCnQN5xj44ogu1fXEvS6NJFTlhQFGCKy9I2O9+40pxIAoZVQTJlAwhM0JxZOF/yHv5u1oKLa/rZe/G4HXbEsw5kCjSEv/ckchWIZv8epiZyy5CjAEJGlqZISGXwbjj0P/lpTc+FwmZbTUBP0HjSPz3IB50QOdg+TzBYo2+B2WlyytpZ8scTLnXG1oMqSpABDRJaenjb41VchnzLLx0oFc3qx6lJo2WFqL85jASecOpEzVyzRHcvgdFi0RH1saAzhdjqIZwr8/kXNSonIkqQAQ0QWv1MKOFdC72uQ6jezLAAaL4T4MTPjwnKelwLOapV6C4dl0zecI5ErksoXaQh5aY76RjegKiUiS5kCDBFZ3KoncFpOOPIM9LWb1enBRqhdZwo4E2uh68B5KeAc70ev9DCcyZPMlQBoDHu5qCWCZaElZbJsKMAQkcWl+rQiuhqSvWDbMHTYTOB0OMxEznJxJICwzOtcvvOy8RRObT+N+Fw881Y/NX43DodFa22AlVEfNmYip9Ihslw45vsGRESmrHJakYmZVEisA9qfgL7XTXDh8pl0yAXXma8zcbDLYymRrTfP+i1V0iFD6TzFUokDR4cYSObJFkpsXxVlVY0fy7JIZIuayCnLik4wRGTxaN9nRntblqmzyMbB4TH1Fit3m86QygTODdedlxHf4+1v68XttDg2mCaTL+FzO9m8IsRQukCxZGsipyxbCjBEZGGrTol0HTDbTSmb5xwuaNltai5cI6cDldOKq+85bzUWlZRI51CaX3cMEfE5CXrNTpGNK0IEPC7au4c1kVOWNQUYIrJwVVIiTo9pN83EIXnSFG42bjEjv3NJiLTMyWkFjKVE3E6L/mSOXKFEZ6bAxWt8bF8VxWFZmsgpggIMEVlIxhdwDh016Y9ixjwfbobUSVPUGV1tgo7zfFox3v9+tYdUrshwpoANtNb66E/mGUyZHSZqPxUxFGCIyMJQvT7dVwNdL0Lni6bd1BcxwUV0NaQH56zdFE7vEPnVW/1E/W4sywzNWl0XoC+R1UROkXEUYIjI/Kk+sRjqAH+dOa1IDQA2uANmGucFvwsur3nNeWw3Ha+SDgl7XeSLJQ4cTdCfzONxWly2vp6wzwzy8rldmsgpMo7aVEVkflS3nPqiMHgYjj1n0iKWBeGVsP5dYJegkDnv7aYT2d/Wi8OCjoEUvcM5/CMdIoUSlG0o2/ZoSuTG7U1zck8ii4VOMERkfrTvMztBEifMCG+HC8olKOVh1R5zYjGH7aZwajqkKeLlmTf78bocWJZFwOPkgsYQfo9THSIiU6AAQ0TmRnU6xBM2pxWeoDmtsBzQuNXsCymXzA6ROWg3rVZJh0T9brwui+cPD9A5lKEx5GH7qigrRwZmqUNEZGoUYIjI+VdJh1hAOgYnXzcnF8EVJniIrDKtqN4IJLvnrICz2v62XgJuBz3DWYZSeZwOB621PtL5EiGfGxsYVoeIyJQpwBCR2XfKdtNW6D8E6T7TXgrgDZkTi3Qf+GpNeiQTA6cL/sPfzVlQMZoSGcrw4rFBIl4Xfo8Lp8NiTV2AxrCH9u6E0iEi50ABhojMrtHtphGT+uh4Bk6+ZtpNA3XmtCLcbJ7raZuz+orxKikRj8tiMJUjkysRSxXYtjLCztYoHpdT6RCRGVCAISIzV31iMXgYnF6z5bSUN2kRTwiKOWi9zAQWYE4sWnbOSbvpRH70Sg+pXIHuWBEbWFljBmYlc0VcTocGZonM0IwCDMuyaoBvAtsBG7jTtu3nZuPGRGSRqJxYuP0miOh/0zwebYXQCnMyUbcROp4ykzd9kbEJnJfcPme3Wd0hEvA4+ffDA9SMDMxqjvhYXeenP5nTwCyRWTLTE4yvAftt236vZVkeIDAL9yQiC9lp47w7zHTNQhozHMsP5bI5qVh5MWDNebvpeJV0SMDtIJkt8GZvgoFkHp/LwWXr6wl5zb8KNTBLZPacc4BhWVYEuAbYC2Dbdh7Iz85ticiCNDrOO2oCiWPPQ/dvTX2FNwzBRhM89LxiJnDatlmpPsf7QuDUE4tjAyk8LgdlG0plm6DXxdaWEP2JAqWyVqqLnA8zOcHYAPQB37YsaxdwAPgL27ZT1RdZlnU3cDfAmjVrZvBxIjIvThnnfcSsRU8PjJxYYMZ5F1JwwXVmjDdAqThv7aZw6kyLkNfJkf4UpbLNyho/q+sCrK0P4HY6NDBL5DyaSYDhAi4B7rFt+3nLsr4GfAr4r9UX2bb9IPAgwJ49e+wZfJ6IzLXKiYUnAKUC9B0yj0dbzd6QyEqo3QBHn4FCdmyt+hy3m463v62XoMdJfzJHXyKHx+WgUCrjdFhsbgoDqENE5DybSYDRCXTatv38yNePYgIMEVmsTquvOALpIXMSYZdH6itK5trWPabOYp7rK+DUdMjKqI9/PzyA02FRts2g0Aubw3QOZUjmikqHiMyRcw4wbNvusSzruGVZW2zbfgO4Hjg4e7cmInOqen6F0w3HnoXuV8bqKwINZgHZydfM8jGY83HeExmfDnnhyCBv96WoD3pY3xhkXX0Qn9tJ0OOiJ5FTh4jIHJlpF8k9wCMjHSSHgf8081sSkTkx/rQi3mUKMyvzK2CkviJ9an2Fbc9rfcV4+9t6CXic9CVy9CdzADRFvGQKZVqiPjwuM9PC6XTw3265SEGFyByZUYBh2/ZLwJ5ZuhcRmSvV3SCeEHQdgM5fj5xWhExgEVkJdRvMJM4FVF9RnQ5pifp47u0B3E6TDnFY0FLjpyVayxs9CaJ+jwo4ReaJJnmKLBendIMcBmcAMoPm1AJMd0huGNZeZQKPBTC/YrzqdIjf7eD5IwMc6TfpkA2NQdaOpENUwCky/xRgiCwHlRMLp8ecRvRVTdv010CoGaJr4fhzZibvPM6vOJP9bb34XA564hmG0gUsLJqjXjL5Ms1R/2g6RAWcIvNPAYbIUnTKNtOVpr00G4Ny0Tw/2g1iQevlC6YbZCKVlMixwTQHjg4S9bkIeN04HRattX5WhL283qONpyILjQIMkaWmclrh8prdIIefNOvSa9aCPwrBFWPTNivDshZAN8hEKimRYqnMYCpHrlDmeCbLzlYv21dFcY8sJVM6RGThUYAhstiddlrxhklvVE4rnG7TelrMQesV4HCax+d52uZEqgs4V9X4OdKf5ORwjsqEvnX1AXqGc6YrxGEpHSKygCnAEFlsqgMKpxeGT5itpYXsqacVviiEGk19Rf0mOPIk5BJj20znuRtkvOoCzpqAm98eG+LlzhitNX7qQ17W1AWoD3noHc5q46nIIqAAQ2QxGW0vrTFBxes/hswARFaBJ2hOK3xRc1qxuuq0olxakPUV1fa39RLyOBlK5+mNZ7EBv9tJtlhm1+oaHJYFaOOpyGKhAENkIRs/DCvRCxaQ7DELxzKDgBMyQ9CwafLTigVYXwFjKZHOoTQHjg4R8bnwe8y/llaEvayu8/PCkSES2SJhn0sjvkUWEQUYIgtV9WmFvxZ6X4Wjz5lAwxsCLHNa4XCZk4q6C8zrSoUFf1oBYykRu2wzkMqRyZeIpQtsbQmzfVWUgMdFPFPgHRvr1SEisggpwBBZSKpPLAYPgytgTh9yCfO802tOLpq2mRRJdhg6njaTN+3yojitqC7g7EvkKdumhHN1nZ/e4RzpfGl0WFY8U+Dua9YroBBZhBRgiMyX8emPxq1w6H+b5/IZ6K8ahuWNQLABQi1w4sDIQjKP+atug6nBWEDdIONVF3BG/a5TCjhrgx5W1wZoDHs5mVABp8hSoQBDZD5Upz8iKyHeCS99z9RM+CLmGrcfymXz+0rB5oTDsD674AKK8fa39eJ3O+hP5uhLmIVkfreTbKHM7tW1OB0q4BRZahRgiMyF8acVyZNmEFYuDgNvQjEL+STYJQg3Q6gJatZD92/ManTLWrDDsCZSnQ5pinh59q0BvC4LGwsLaIr4Rgs4kzkVcIosRQowRM636tOKQAOcfB2OPg2R1pFiTUyqI7QCSjlYdQmmVQQTeCywYVhnU0mHhH0ubNvmubcHODaYpj7oYWNTiNW1gdEaCxVwiixdCjBEzofqE4uBt8EdNJtKs8OADQ4PpPqg/gIINprgY+Bt6H8dMvEFOwxrMtUnFscGUnjdTvoSWQolG7fTwepaP8l8kRVh3ykLyVTAKbJ0KcAQmamJijXf+DfT1VHImmJNyxop1gyDv94UbJ542ewF8UXMaG+nC975CehrX9DtpeNVTiwiPhcuh8Xh/hTlss3KGj8rIj7W1AUI+1y0dw/rtEJkGVGAITITp0zWbIKBt+C3/wDeKARqzTWeAJRHtmmsvsLMrcjE4IL6SWZV3Dpv38652N/Wg23bHBtMk86X8LocFEtlHJbFjlURwNJCMpFlSAGGyHSNn1XhDkI+ZQowK6cWWFC33pxU1G4wraWFzNha9EVSrDmR6nRI0OPkhSODhH0uLMvC63Kwc1WUw/0pUvkiZRsSWS0kE1mOFGCInMlE6Y/X94FtmwLMvkNj6Q9PaKTtdBUUM9C8Y+x9CplFV6w5kUo6xGnBUDrPm715TiZyWBbsaK1hRdiLw7JwOx30JHKaZyGyjCnAEJnM+O6PvjfgN98147kDdeYaT8DMqrBtWH256QZx+UeKNWOLrlhzItUnFm+eTGABXpdZohbyudjaEqI/UcDvNo/FMwWcTgf/7ZaLFFSILGMKMEQqxp9WxI6Zk4fqUd3FHOSSpvsjUJX+KGbHaisWabHmRConFi4HxNMFjg2ksYDVdQE2rgjREvVhWZYKOEXkNAowZPmqDiicXpO+CDZCKQ8dz0BvG9SsNbMqLIdZOBZthUIamqqChUnTH4urWBNODfHvZQAAGz9JREFU3xdydCDFQCpPvmgmigY9LhwO8LgctNYGAFTAKSITUoAhy8OEez9+bNpGXT44/Eszf6KmFTxB8xp3APIJWH0Z+GrNqG6HZ0mlP6pV7wsJeZ0cODrEq11mX0g04KE54mNdfYCXj8cZTJklZZq+KSKTUYAhS98pez9WQeokvPpPJsXh8prOj1zCpDiycWjYBIF6qNsIHU+B5Rob1b3E0h/VpxX9iSwuB5yIZYhnCoDZF5IplHnX6hpcTgcAmXxJBZwiclYKMGRpqj6xGOow8yYsC4aOmJ0fmTgU81C71nR/hFYADsCGugvMe9hMsFhs8aY/qlWfVrREvXQNpfnFG320RLyEfG6cDovmiI81dX6ePzJEKl8i7LNIZIsq4BSRKVGAIYvfZJM0saBUMN0fMNJKGjT1FIF6U5i5+nJTfxFZBR1PmzXodtmkPhbxrIqz2d/WS9RvdoW0dydIZIu4HRYDqTxbWiK0RP//9u41NtLrvu/49zy3uXGGw9uSS+5yd3WxrIsvkreqL0FguEWhxE7cFw2aoGmDoIXeFKnTJjDivEiboHlRoHCTtEUAIY7rIIVj1xZiJwgc24rdxFGtaKWNritr76u9kVzeOZzr85y+OENyyCWl1XJ4meHvAwjiDIfDR4MHuz/9z/9/TprA83ReiIjcNQUM6Sxb9VKke90/k2eao6TFtZ00w4wLGo0qHHkcMr0wfdH1UtTKkA7deGn/PS5odPheFVtpXRI5fWWW/myI57llj8AzPDKa583JEoV0iGeMzgsRkW1RwJDOcVsvxS145bcgNwxhyk1/QHOUdAH6jzcnP47CzZchid1yx0pj5m29FL/RVYGi1cqSSJJY5so1lioNppdqHB/Mcv+hPMOFFEvVmOHejKoVItIWChiyv63rpbjowoUxMHfJ7UdRnnOBou+Yq0Jk+ty23bUSjLx/7X3iRteMkt6J1mrF4d40b04sMlOq4Rl3DPxoMc3kYhWbWEZ606vTIKpWiEi7KGDI/nHb8sd74fVvuO8lDbctN6zvpcj0QVyF0cfcrpoYwOvaUdI7sVKtyKd8sJb/d/4WZyeXOFLMMJhPMVrMMNSTYnKxwktX5zUNIiI7QgFD9sZWvRRRDvwQrp+GF74Imf61bbnDjAsacQ0OPe56LmaavRRx3W3X3cHHnt+tjeOmN+bLlKoNJhYqxInF9zx6UgGNBD5wpIhpVjHSYcA/eWhEG2SJyI5QwJDdcduumdeh77g74nz2Irz0ZRcmouzaz8QNt9Qx9B630VXxONw4fQe9FN29/NGqddy0Lxvy6rU5Tl2e5UgxQ086JJ8OGCtmODGY5dnzMyxUGuTTgTbIEpEdp4Ah7bflpEcRekbg7LdgedY1Yprm3hPVJRccUieaEyHFZrPmovv5FY3qgeql2ExrxeLKzDLFdEClHjNTck2u6cBnsdrgH94zQD4dAmjcVER23bYDhjHGB04B16y1n9r+JUnH2ao6URiD5Wn43n+G/IhbvqguwtIU4LnXF4+5vSfyI+6Mj/GPNEMHUK8c6F6KzaxVLALSocelWyUaccJoMUNPOmCwJ8Vob4oXrsyTWNZt560GThHZTe2oYHwGOAMU2vBe0mk2jo6e+46rTmBdUKguwvKMOxCs7xhg3Pkfxrjvj3/EnfER5lyYqCysDxMHqJdiMxv7KyYXKjSShEvTy5RrMaFvSKyhkVgePVokCnxVK0RkX9hWwDDGHAE+Cfw28B/ackWyv21c/li4Blgoz7heivlrgAeTr0NxHDCuX6JegUMPu/CwPON2zYzyd3jGx8FZ/mjV2l8x2BPxo5sL/PDCDGPFND3pkCjweHi0wOXpZepxQuB72hxLRPaN7VYwfgf4LJBvw7XIfrPV2KjnQ5K4kDDx2tqR5uAOD8OA58Hww275Y+aSq04Yz/3ztrtmHswwsWJjf0V/NqQRJ9xaqpJYSAUec+U6HxzvYyAXYYwhHfg6fExE9p27DhjGmE8Bk9baF4wxH3+b1z0JPAkwPj5+t79OdsNtvRTXIDfkvnf1eTj1RTcyujI2Cu5I88o8DD/kwkT/fXDlWfd1+mDumnm3WvsrMqHH5ekS5yZcf0UuFdCXDTl0oo+Xri4Q+h4WWCjXdfiYiOxL26lgfAz4aWPMTwJpoGCM+WNr7c+3vsha+xTwFMDJkyftNn6ftNNmkx5v/JmrTtgELv3ATXYUj7q9KcDtQVEruePMUwU37dF/b/OQsF63/IFRdeIObdpfEa/1VwSeIfYMtTjho0eLZMKV/opQ/RUisu/ddcCw1n4O+BxAs4LxqxvDhewjm1YnDgEGrr1w+6ZW9TJ4oatA9N8L6bzbzKoyD4ceWnvfJN7kSHNVJ95Ja39Ffy7kzI0F/u5iS3+F7/Hg4QJXZpaJE0sqUH+FiHQW7YPRjTbrnTjzDfACt9vlZtWJuOGe67/HTXnUy66SkcSuYgFQWYL6hrHRLj7SvJ02ViumFisEHkwuVJgp1bCwGiJa+yuyoforRKQztSVgWGu/D3y/He8l79KWSx0BYOGtTXon1lUnmoGiUYPqPIy8z70mzDaXPgouaGhs9K61ViuGCyku3Frib8/e4nCvq1YYYKAnYqQQcfot9VeISHdQBWM/2xgeHvwp93zrUsf8W5AbdM9fff72pQ5Y650YuK9ZnaiAjZvVieY5FNXS+k2tNOmxLRunQQZzIfPA2clFGrEl9D1mSjUeGCkwXEi17F+h/goR6Q4KGPvJ2+2IWZ6D7/4nt1V2ph9I4Nr/dbtfFsc3Weo4AVGPCxQrvRPDD7vXBOk7rE6ol+JutE6DZKPbp0FyqYAPHu3lzM1FCplQ+1eISFdSwNgrb3deR2EMzn7bhQrjub/8ayWYeN2dRt5/j3uPuOaCSHURBu53e1HENRcmRt6/9rt6x9f3Tqg60VYb+ysmFspUGzGXbtUo19emQaqNmMdP9JNPB8yXGwz0pFStEJGupYCxG942TIzC4k149WuQP+yCxK0fueoFHky80twRE7esYQL3ulSPq0wkdVe1GLjXvaayeHsjpqoTO6a1v6KQDm47zTQKPB4cyXN5tkySWHIpFy5UrRCRbqeAsRPe7mjy+avw8lddSEjPu0BhY3d+R73SPK8DCDNgcVtpD77HLXfUK+57A/c1f5H3LhsxVZ1oh3X9FdMlMqHPQrnOUrUBuNNMFyoNHjvWT182dNMgUaBpEBE5UBQw3o13arpcrU78BQQZFy4u/cAdS16edX/5g1vCiGtrYcJPuabMetn9fJRzoeLSD1x4yA258JAbBIyWOvbQSsUiFRhqjZhzUyWwltFihkIm5FA+xVgxzanLc/ie0TSIiBxYChhv552aLp/5LTeJ0TPkeiWun4YXv+SaMDNF9x6VOcCDxebPhhkXGOolGH7EVSb80P3MrTfceGmQgkZqk/DwG+49WwONljp2VGu14nBvmvOTi8yXGzQStyltJvSIY/f1h4714Rmj00xFRFDAWPNOfRJnv7tWhVhOu6WNm68AFhr3rL1Po9lk2TPsKhG5IbcEgnFHkxsPooILExi3NfeWp4luER4UKHbFxmrFs+ducW5qiSPFDL3ZiMGeiNHeNGduLFKuxwCaBhERaToYAeNO9pNYuO6WLLKDMHcZXv4K5EchswBTpeax5B7ceGmt6TKpA8adyRFmIcq6PonqAhx93L0mN7TWJwE6mnwfa61WjBRctWKhslatCHyPfCqkHlseGy/iex4AcWLVXyEiskH3BYx3Gv8sz8Ezv+kmL1aWNi5+3+0dUZp0Sxjgeh7iOpjWpkvrmi7773GBolYC468fCa0ua8OqDtEaKCLfcHOhylBPRLXe4NnztzjfUq0YyEUMF9KcGMzy7PkZlqox+bRhsdJQf4WIyCY6P2Bs2ScxCqUpePVpd+YG1vVB1MvuZwwQV917VJcAz72+/15XiegZgtqy65MIs+ubLvOHXQDpGWZd06VGQjtG63jpUD7iu69PMLtcZ6SQJpcKCH2Pwmq1og/fMwA0Eqv+ChGRO9DZAePmq/C3v+eaIv3IBYDaott4yg/cFtnL0263y0Zl7edsDNaDTJ8LD9Ul16yJhfEPu9cE2bU+CT904eWOmi5VndiPNjtszDMwtegOG5tdruPheijuPdTDoXyqpVrRIJ8OWKxo/woRkTvV2QHjzJ+BZ2DmvHu8MrExf8X1SXi+649oVKB4zC1zhFlXxcC46gS4SY7tbJ2t6sS+tu5o9GzIGzfd0eijzcPGAArpkMA3+MZwfMBtu16PVa0QEblbnR0w5t+C3CEoTTfHP+fWKhFHH3dVjex5V4lIFdaWMXJDaD+J7tZasbg8XSIX+SxVGyyU6wBEvsfsco33Hi4wlE+xUK7z3IUZMmmfxFpVK0REtqmzA0bvURcSxj7kHmcH1yoRXgjl+a0rEaD9JLrUSsXC96BciznfshlWPh3Qn4s4lI946eoC+XRI6HtEgc/4QJbR3rSmQURE2qCzA8aDPwXP/nf39d1UIhQoukJrtWIwF3F2comFSh3PuMbMTOiRNEdNHzvWR+B5mx6N/tknHlCgEBFpk84OGCOPwEd/SZWIA2Rjs+Z7hnN8+/VJEmtZrjY4O7HIpekSR4oZ+ntSDPWkONKX4bVrC5Tr8epOm1r+EBHZWZ0dMMCFCQWKA6G1WXOkkOLKTIn/c+otCumA3mwEQDby6cuGxBYePVrENKsY9UaizbBERHZR5wcM6WrrTi6dKVFMhyTWcm6ySj22lOsxFsvRgRyDPW5DrFtLbrx0obI2XqrNsEREdpcChuxbKxWLTOCRJAkXpkokiWvWzKUCMpHPcCFNtRHz0OHC6s+lw0DjpSIie0wBQ/aN1mrFoXyK81NLLLWcBZIKPGpxQj1OeN9YL7mUTyEV8ObkEvPlujbDEhHZRxQwZE9s1ayJhXK9wbmJRS42mzV7sxF92ZBD+Yg3J5ZoJJZM5DNfdksfv/SJe3lzoqRqhYjIPqKAIbuutVlzuJDi8vTtzZrp0KeYCWkk688CMZhNmzU/uZf/QSIichsFDNkV65o1p0vk0wH1OOHNiRpxstaseaQ/y2BPioFcxHTp9rNA1KwpItIZFDCk7TZb/vjumSkCD2r1hPNTJaxda9bMRj4jhTSVRszDo2vBQc2aIiKdSwFD2qp1+eNwb4ob88t8/YWr9GaC1YPF0qFHPU5oJJYPHOklEwXkU0tq1hQR6SIKGLJtt+1VkQkBy4WpGtVGQqnWILYJAz0pBnoiRnvTnLmxQD1OSIU+8+W6mjVFRLqMAoa8K1stf0S+oRHfvldF5HsM5VPUGjGPjhcB16wZJ1bNmiIiXUwBQ+7YxuWPm/Nlnn7RLX/kUm75Y2Wvilqc8A9GCxTSARenSs3lDzVriogcFAoYsqWN1YqpxQqR7w4LuzC1RLWRsFRt0EgSitmI/lzESD7FGxOLNBJLTyrQXhUiIgeUAoasag0UkW+YWKhytD9DPu3z+vV5Tl2eZbQ3vdqsGfqGoZ6IaiPhsfG+1YPFLGj5Q0TkgFPAEOD2k0qfOTPJ7HKN2VKVMPABiHyP2VKN+w7l6c9F5NMBl2655Q8dLCYiIq0UMA6ozZY/PGOZXqpybrLG1FIVD1eJuHeoh/5cxHA+4u+vLtCXi+hJByxUtPwhIiKbU8A4IDZb/hjry5AKPF6+OseLV+Y4Ulxb/shFPp5nCDyPx5rTH/PlOj92X7jpxlda/hARkVZ3HTCMMUeBPwJGgAR4ylr7u+26MGmf1uWPoXzEXzWXP6YWK2QidwukA4+5cp0HDhfoz0XcO5TluQuzZCOfxMJipa6Nr0RE5I5tp4LRAH7FWvuiMSYPvGCM+Y619vU2XZvcpY3LH9fny9TjhOtzZRbKdaZLNTzgVqnGg/k0/bmIsWKaU5fnKKRDMqFPI7aMD2QZ7U3f1qwpIiLyTu46YFhrbwA3ml8vGmPOAGOAAsYu2mrjq3TggbU8f3GG127Mc6SYoScdYoB8OsQ34HuGR8ZcYHDLH+vP/fjsEw8oUIiIyF1pSw+GMeY48CjwXDveT+7MZud+PP3iVYqZgGxz4ytwR58vVht84GiRvmzE7HKN5y7MkA59Emt17oeIiLTdtgOGMaYH+Drwy9bahU2+/yTwJMD4+Ph2f92Bt9mx53GScH6yTi1e2/jqnkzU3Pwq5Fh/lh9enCEKXONmFPha/hARkR1lrLV3/8PGhMCfA39prf38O73+5MmT9tSpU3f9+w6azZY/vv36JFioNWKeuzQLLceeR4HHxEKFaj3m0x8cW934ar5cp9aIGcqnV9/riUeGFShERGRbjDEvWGtPbva97UyRGOALwJk7CRfyzjbfSTNLfzbk7OQiXz11hUI6pJiNAMiEHo3msefvG+sll/JXz/1o3fhKyx8iIrLbtrNE8jHgXwKvGGP+vvncr1tr/2L7l3XwbOyneObMJHOlGguVOl6zElGpJxjqjA/k6M+GHO3P8OpVd+x5JvJ17oeIiOwb25ki+QErZ2/Lu7Zx+WNyoQKs7aQ5ueh20rw2V+b4QI5iNmSsmmG5FvPQ4cLq+9Tqic79EBGRfUc7ee6CrUZJc5GP78HpK7O8dHVudZQUIBv5+Mbge4aTx9xBYoExzWPP6zr3Q0RE9jUFjB22cenj5kKZPz19lWImJB2tffzpwGeuXOe9hwv0teykmUsFWGChXNfyh4iIdAwFjB2w2ShpklguTNWoNhIWKg1qccLxgYBCJqQ/G3G0P8PfXZwlfwc7aWr5Q0RE9jsFjG3adJT0tUksbpT03FRp3Shp6BsGeyKqjYQPHevH99ZGSbWTpoiIdAsFjHdhq16K3kxAMRNwdmKRrzx/hd7M5qOkj4wV6EkFq6OkS1WNkoqISHdSwLhD63sp0swt1/j8t68zmI+YKflU6gkA1UbCYqXOsYEcfblo3ShpNgo0SioiIgeCAsbbWNdLMbPMoXxEPfY5P7XE3HKdmeUay/UG4/05At9QzEQs1xqUqjEPapRUREQOMAWMprc9lRTLpVslzk8scrjZSwFQSAfU44SHR93ShzEG36BRUhEROfAUMFi//DFSSHF97vZTSUPfkCTGbXQ1WqAvG3Ejn+LNySUSi0ZJRUREWhzYgNFasbjcHCWtxwlnJ2s0Yrt6KumJTERfNmQgF3JuqkScWIYL6dXKxFZhQssfIiJykB2IgLHZ8sdfvjaJtZZaI+b85BLA6ihpKvAYyqeo1uPVXTQBAs9TL4WIiMgd6LqAsfUoaUgxG3J2YpE/ef4KxdZR0sgnji2xtbz/SC/ZaPNTSdVLISIicme6KmBsHCWdL9f4/Heuc6gnxWypRrkeA1BrJCxV6pwYdKOkx/qzvHx1nlojIR3qVFIREZHt6viAsXGUdKSQAiyXp0vMlurMlGos15qjpJ6hmF0bJX1gZG2UtFKPtfwhIiLSJh0dMFYqFvm065u4Ml3i/OQih3vXRkl7UgGNOOGhwwXyaY2SioiI7IaODhjfenUCg+XsxCKJBd8zNGLDUrXBe4bz9OcihvMRb06WsGiUVEREZLd0dMC4NldmMJ/i2lyFnlTAQ4cLXJwuYS2M9WWalQlfo6QiIiK7rKMDxlgxw3y5zoeO9RH6HgCZ0FcvhYiIyB7r6IDxxCPDPPXXFwHIp416KURERPYJb68vYDsePNzLkz9+gt5MyI35Cr2ZUEeei4iI7AMdXcEAFzIUKERERPaXjq5giIiIyP6kgCEiIiJtp4AhIiIibaeAISIiIm2ngCEiIiJtp4AhIiIibaeAISIiIm2ngCEiIiJtp4AhIiIibaeAISIiIm1nrLW798uMmQIu79DbDwK3dui95Xb6vHeXPu/dpc979+kz313t+ryPWWuHNvvGrgaMnWSMOWWtPbnX13FQ6PPeXfq8d5c+792nz3x37cbnrSUSERERaTsFDBEREWm7bgoYT+31BRww+rx3lz7v3aXPe/fpM99dO/55d00PhoiIiOwf3VTBEBERkX2i4wOGMeYJY8yPjDHnjDG/ttfX022MMUeNMd8zxpwxxrxmjPlM8/l+Y8x3jDFnm//u2+tr7SbGGN8Yc9oY8+fNxyeMMc81P++vGGOivb7GbmKMKRpjvmaMeaN5r39E9/jOMcb8++afJ68aY75sjEnrHm8vY8wfGmMmjTGvtjy36T1tnN9r/j36sjHmsXZcQ0cHDGOMD/xP4CeAh4CfM8Y8tLdX1XUawK9Yax8EPgz82+Zn/GvAM9ba+4Fnmo+lfT4DnGl5/F+A/9b8vGeBf70nV9W9fhf4lrX2vcAHcJ+97vEdYIwZA/4dcNJa+wjgAz+L7vF2+1/AExue2+qe/gng/uY/TwK/344L6OiAATwOnLPWXrDW1oA/AT69x9fUVay1N6y1Lza/XsT9wTuG+5y/1HzZl4B/ujdX2H2MMUeATwJ/0HxsgE8AX2u+RJ93GxljCsCPA18AsNbWrLVz6B7fSQGQMcYEQBa4ge7xtrLW/jUws+Hpre7pTwN/ZJ0fAkVjzOHtXkOnB4wx4K2Wx1ebz8kOMMYcBx4FngOGrbU3wIUQ4NDeXVnX+R3gs0DSfDwAzFlrG83Hus/b6x5gCvhic1nqD4wxOXSP7whr7TXgvwJXcMFiHngB3eO7Yat7ekf+Lu30gGE2eU5jMTvAGNMDfB34ZWvtwl5fT7cyxnwKmLTWvtD69CYv1X3ePgHwGPD71tpHgRJaDtkxzXX/TwMngFEghyvRb6R7fPfsyJ8xnR4wrgJHWx4fAa7v0bV0LWNMiAsX/9ta+3Tz6YmVElrz35N7dX1d5mPATxtjLuGW/D6Bq2gUm+Vk0H3ebleBq9ba55qPv4YLHLrHd8Y/Bi5aa6estXXgaeCj6B7fDVvd0zvyd2mnB4zngfub3ccRrlHom3t8TV2luf7/BeCMtfbzLd/6JvALza9/AfjGbl9bN7LWfs5ae8Raexx3P/+VtfZfAN8D/lnzZfq828haexN4yxjzQPOpfwS8ju7xnXIF+LAxJtv882Xl89Y9vvO2uqe/Cfyr5jTJh4H5laWU7ej4jbaMMT+J+z88H/hDa+1v7/EldRVjzI8BfwO8wlpPwK/j+jC+Cozj/sD4GWvtxoYi2QZjzMeBX7XWfsoYcw+uotEPnAZ+3lpb3cvr6ybGmA/immoj4ALwi7j/AdM9vgOMMb8J/HPclNpp4N/g1vx1j7eJMebLwMdxp6ZOAP8R+FM2uaebQe9/4KZOloFftNae2vY1dHrAEBERkf2n05dIREREZB9SwBAREZG2U8AQERGRtlPAEBERkbZTwBAREZG2U8AQERGRtlPAEBERkbZTwBAREZG2+//+T/4dlxglvQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "# Plot time series for each economy\n", "for s in s_base, s_alt:\n", " lb = f'output series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'Y'), 'o-', lw=2, alpha=0.5, label=lb)\n", " \n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 6))\n", "\n", "for s in s_base, s_alt:\n", " lb = f'output-per-worker series from initial state {s.initdata[\"κ\"]}'\n", " ax.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n", "ax.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "\n", "----\n", "\n", "### Change Log\n", "\n", "**2019-07-25** by DeLong: Playing with Sargent and Stachurowski's QuantEcon: \n", "\n", " \n", "\n", "----\n", "\n", "__2019-08-05__ by Yinshan, list of changes made:\n", "\n", "1. Merged `generate_x_sequence` into one method\n", "2. Added initializing steps to `generate_sequence` method to eliminate the need of redefining instance for every plot\n", "2. Removed unnecessary `import` commands\n", "2. Changed comment to docstring for the class `SolowKappa`\n", "2. Changed $\\alpha$ to $\\alpha'$ in calculation of $\\kappa$\n", "\n", " Effect: slight change in $\\kappa$ value for each time period (converge slower to the steady state), but no change in general convergence behavior\n", "3. Modified unpacking commands for self variables, removed unused ones and added used ones\n", "\n", "----\n", "\n", "**2019-08-07** by delong: list of changes made:\n", "\n", "1. Named `s_base` and `s_alt` cases\n", "2. Added the six-panel summary graph\n", "\n", "----\n", "\n", "**2019-08-08** by delong: list of changes made:\n", "\n", "1. Renamed `SolowKappa` class to `Solow_delong`\n", "2. Added info about Stachurski-Sargeant QuantEcon to the docstring.\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solow Growth Model: Capital-Output Ratio as State Variable\n", "\n", "\n", "\n", "### Catch Our Breath—Further Notes:\n", "\n", "
\n", "\n", "----\n", "\n", "* Weblog Support \n", "* nbViewer \n", "\n", " \n", "\n", "----" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }