{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Perfect foresight experiments with dolo\n", "\n", "**Fiscal policy experiments in a non-stochastic model**\n", "\n", "**Spencer Lyon** _NYU Stern Economics_\n", "\n", "**Pablo Winant** _Bank of England_\n", "\n", "February 2019" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "I3oiABzWI47u", "outputId": "e28ee7ee-ce55-484f-9f16-00db4b55db73" }, "outputs": [], "source": [ "# uncomment below to run in Colab\n", "# %pip install --quiet dolo" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# imports and workspace setup\n", "%matplotlib inline\n", "from dolo import yaml_import, pcat\n", "import dolo.algos.perfect_foresight as pf\n", "from dolo.algos.steady_state import find_steady_state\n", "from dolo.misc.graphs import plot_irfs\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use(\"ggplot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we will explore the effects of techonology and fiscal policy shocks in a nonstochastic model. The model and figures are inspired by chapter 11 of Recursive Macroeconomic Theory 3rd edition (RMT3) by Ljungqvist and Sargent. \n", "\n", "We will focus on the computational aspects of the exercises and will refer the interested reader to section 11.9 of RMT3 for a discussion on the underlying economics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A representative household has preferences over consumption that are ordered by \n", "\n", "$$U := \\sum_{t=0}^{\\infty} \\beta^t \\frac{c_t^{1-\\gamma}}{1-\\gamma},$$\n", "\n", "where $\\beta = 0.95$ is the agent's discount factor and $\\gamma$ is the coeffiicent of relative risk aversion.\n", "\n", "A perfectly competitive representative firm rents capital $k_t$ from the household and produces using the production function $f(k) = A k^{\\alpha}$. The aggregate technology in the economy is\n", "\n", "$$g_t + c_t + k_{t+1} \\le Ak_t^{\\alpha} + (1-\\delta) k_t,$$\n", "\n", "where $g_t$ is government spending, $A$ is a constant productivity factor, and $\\delta$ is the depreciation rate of capital." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The consumer faces two taxes: a consumption tax $\\tau_{ct}$ and tax on earnings to capital $\\tau_{kt}$. The household budget constraint is\n", "\n", "$$ \\sum_{t=0}^{\\infty} q_t \\left\\{(1 + \\tau_{ct}) c_t + [k_{t+1} - (1 - \\delta) k_t] \\right\\} \\le \\sum_{t=0}^{\\infty} q_t \\left\\{\\eta_t k_t -\\tau_{kt} (\\eta_t - \\delta) k_t + w_t\\right\\}.$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here $q_t$ is the time zero price of one unit of consumption in period $t$, $\\eta_t$ is the pre-tax price households recieve by lending capital to firms in time $t$, and $w_t$ is the time $t$ wage households earn on the inelastically supplied one unit of labor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The government faces the budget constraint\n", "\n", "$$ \\sum_{t=0}^{\\infty} q_t g_t \\le \\sum_{t=0}^{\\infty} q_t \\left\\{\\tau_{ct} c_t + \\tau_{kt} (\\eta_t - \\delta) k_t \\right\\}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Equilibrium conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A competitive equilibrium is \n", "\n", "- a budget-feasible government policy $\\left\\{g_t, \\tau_{ct}, \\tau_{kt} \\right\\}_{t=0}^{\\infty}$\n", "- a feasible allocation $\\left\\{c_t, k_{t+1}\\right\\}_{t=0}^{\\infty}$\n", "- and prices $\\left\\{q_t \\right\\}_{t=0}^{\\infty}$ \n", "\n", "such that\n", "\n", "- given prices and the government policy, the allocation solves the household and firm problems.\n", "\n", "### Firm optimization\n", "\n", "The firm's problem is very simple:\n", "\n", "$$\\max_{k_t} \\sum_{t=0}^{\\infty} q_t \\left[A k_t^{\\alpha} - \\eta_t k_t \\right].$$\n", "\n", "The zero-profit condition is $\\eta_t = A \\alpha k_t^{\\alpha-1}$.\n", "\n", "### Household optimization\n", "\n", "The problem of the household is to maximize $U$ subject to the budget constraint, taking prices and the government policy as given.\n", "\n", "Assuming an interior solution and that the budget constraint holds with equality, the first order necessary condition of the household can be summarized by an Euler equation\n", "\n", "$$1 = \\beta \\left(\\frac{c_{t+1}}{c_t}\\right)^{-\\gamma} \\frac{(1+\\tau_{ct})}{(1+\\tau_{ct+1})} \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]$$\n", "\n", "and a law of motion for capital\n", "\n", "$$k_{t+1} = A k_{t}^{\\alpha} + (1 - \\delta) k_t - g_t - c_t.$$\n", "\n", "### Prices and government policy\n", "\n", "Imposing a no arbitrage condition on the household allows one to derive the following condition on prices (see RMT3 section 11.5.1 for more details):\n", "\n", "$$\\frac{q_t}{q_{t+1}} = \\left[(1 - \\tau_{kt+1}(\\eta_{t+1} - \\delta) + 1 \\right].$$\n", "\n", "After a normalization that $q_0 = 1$, the above equation pins down the sequence of prices.\n", "\n", "In the experiments below we will assume that the goverment policy is exogenously given and solve for how the solutions to the household and firms problems adjust to shocks to the government policy.\n", "\n", "### Other equilibrium conditions\n", "\n", "There are a few other variables of interest. \n", "$$\\begin{align*}\n", "\\eta_t &= \\alpha A k_t^{\\alpha-1} \\\\\n", "w_t &= A k_t^{\\alpha} - k_t \\eta_t \\\\\n", "\\bar{R}_{t+1} &= \\frac{(1+\\tau_{ct})}{(1+\\tau_{ct+1})} \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]\n", "\\end{align*}$$\n", "\n", "Here $w_t$ is the wage rate the firm must pay to the household. Above we wrote the firm's problem with capital as the only input into production. All the equilibrium conditions above are still correct if we instead assume that the firm operates a constant returns to technology $F(k, n)$ and assume that the household inelastically supplies a single unit of labor and is paid a wage of $w_t$.\n", "\n", "$\\bar{R}_{t+1}$ is rate at which the price and taxes allow the conusmer to substitute consumption in period $t$ for consumption in period $t+1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Experiments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will do a number of experiments and analyze the transition path for the equilibrium in each case:\n", "\n", "1. A foreseen once-and-for-all increase in $g$ from 0.2 to 0.4 in period 10.\n", "2. A foreseen once-and-for-all increase in $\\tau_c$ from 0.0 to 0.2 in period 10.\n", "3. A foreseen once-and-for-all increase in $\\tau_k$ from 0.0 to 0.2 in period 10.\n", "3. A foreseen one-time increase in $g$ from 0.2 to 0.4 in period 10, after which $g$ returns to 0.2 forever" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Enter `dolo`\n", "\n", "Let's perform these experiments with [dolo](https://github.com/EconForge/dolo).\n", "This will allow us to cleanly separate the model definition from the code\n", "used to exploit the results. General guidelines on how to write models are available\n", "[here](http://dolo.readthedocs.org/en/doc/modeling_language.html).\n", "\n", "Here's the dolo version of the model that we will be using." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31m# Model in chapter 11 of Recursive Macroeconomic Theory 3rd edition by\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;31m# Ljvinquist and Sargent\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mfiscal_growth\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0msymbols\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mstates\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m 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"\u001b[0;34m\u001b[0m\u001b[0mdefinitions\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0;31m# Equations from 11.6.8\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0meta\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mA\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m^\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mw\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mA\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m^\u001b[0m\u001b[0malpha\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0meta\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0mequations\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", 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\u001b[0mexog_tau_c\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mtau_k\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mexog_tau_k\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0mcalibration\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0;31m# parameters\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mbeta\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;36m0.95\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mgamma\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;36m2.0\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mdelta\u001b[0m\u001b[0;34m:\u001b[0m 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steady_state\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mbeta\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mdelta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m^\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0malpha\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m^\u001b[0m\u001b[0malpha\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdelta\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mk\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "url = \"https://raw.githubusercontent.com/EconForge/dolo/master/examples/models/rmt3_ch11.yaml\"\n", "pcat(url)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this stage, a few comments are in order. First, the model under consideration is set-up in discrete time, and the optimization problem conists in choosing consumption (a continuous choice) as a function of the level of capital (a continuous choice too). Several [algorithms](http://dolo.readthedocs.org/en/doc/algos.html) are available to solve that kind of model, all accessible from.\n", "\n", "The general formulation of a model, specifies a controlled process: \n", "\n", "$$s_t = g(s_{t-1}, x_{t-1}, \\epsilon_t)$$\n", "\n", "where $s_t$ is a vector of states, $x_t$ a vector of controls taken at each state, and $\\epsilon_t$ the driving exogenous process. This equation is defined in the `equations:transition` block.\n", "\n", "For our model, there is essentially one state $k_t$ and one control $c_t$. Note that in this particular case choosing $c_t$ is equivalent to choosing $k_{t+1}$, but this is not true in general, for instance if there are many control for one state.\n", "\n", "Notice in the model file the addition of `tau_c` and `tau_k` as state variables. These dummy states track the innovations `exog_tau_c`, `exog_tau_k`. This was necessary in order to to have `tau_c` in both period `t` and period `t+1` in the Euler equation defined in the block `equations:arbitrage` whose conventional definition is:\n", "\n", "$$0 = E_t \\left[ f(s_t, x_t, s_{t+1}, x_{t+1}) \\right]$$\n", "\n", "In this note we are interested in the predictible effect of a preannounced government policy on the decisions by the representative agent, not in a time-invariant decision rule. Hence we will use the `dolo.algos.perfect_foresight` module, which we imported at the beginning of this notebook. This module implements the stacked time algorithm for solving determinsitc problems. A description of this algorithm can be found [here](http://dolo.readthedocs.org/en/doc/perfect_foresight.html).\n", "\n", "In a perfect foresight simulation, the computational cost of adding additional states is relatively low, because one does not need to solve for the optimal decisions at each point of the state space. For more information on which variables can appear at what times in each type of equation, see the [dolo model classification](http://dolo.readthedocs.org/en/doc/model_specification.html) . " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now import the model and display it. The display shows the residuals of each equation, evaluated at the values specified in the `calibration` section of the modfile." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "'NoneType' object is not subscriptable\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: ((((beta)*(((c[t+1])/(c[t]))^(-(gamma))))*(1 + tau_c[t]))/(1 + tau_c[t+1]))*((1 - (tau_k[t+1]))*(eta[t+1] - (delta)) + 1) - (1)\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: 0\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: inf\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: k[t] = (A)*((k[t-1])^(alpha)) + (1 - (delta))*(k[t-1]) - (c[t-1]) - (g[t])\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: tau_c[t] = exog_tau_c[t]\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: tau_k[t] = exog_tau_k[t]\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: eta[t] = ((alpha)*(A))*((k[t])^(alpha - (1)))\n", "variables: ['k', 'tau_c', 'tau_k', 'c', 'g', 'exog_tau_c', 'exog_tau_k', 'eta', 'w']\n", "equations: w[t] = (A)*((k[t])^(alpha)) - ((k[t])*(eta[t]))\n" ] }, { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Model
nameNone
typedtcc
filename<string>
\n", "\n", "\n", "\n", "
TypeEquationResidual
arbitrage$\\frac{\\beta \\; \\left(\\frac{c_{t+1}}{c_{t}}\\right)^{- \\gamma} \\; \\left(\\left(1\\right) + \\tau_{c,t}\\right)}{\\left(1\\right) + \\tau_{c,t+1}} \\; \\left(\\left(\\left(1\\right) - \\tau_{k,t+1}\\right) \\; \\left(\\eta_{t+1} - \\delta\\right) + \\left(1\\right)\\right) - \\left(1\\right)$-0.000
arbitrage_lb$0$
arbitrage_ub$inf$
transition$k_{t} = A \\; k_{t-1}^{\\alpha} + \\left(\\left(1\\right) - \\delta\\right) \\; k_{t-1} - c_{t-1} - g_{t}$0.000
$\\tau_{c,t} = exog_{\\tau,c,t}$0.000
$\\tau_{k,t} = exog_{\\tau,k,t}$0.000
definitions$\\eta_{t} = \\alpha \\; A \\; k_{t}^{\\alpha - \\left(1\\right)}$
$w_{t} = A \\; k_{t}^{\\alpha} - k_{t} \\; \\eta_{t}$
" ], "text/plain": [ "\n", " Model:\n", " ------\n", " name: \"None\"\n", " type: \"dtcc\"\n", " file: \"\n", "\n", "Equations:\n", "----------\n", "\n", "transition\n", " 1 : 0.0000 : k[t] = (A)*((k[t-1])^(alpha)) + (1 - (delta))*(k[t-1]) - (c[t-1]) - (g[t])\n", " 2 : 0.0000 : tau_c[t] = exog_tau_c[t]\n", " 3 : 0.0000 : tau_k[t] = exog_tau_k[t]\n", "\n", "arbitrage\n", " 1 : 0.0000 : ((((beta)*(((c[t+1])/(c[t]))^(-(gamma))))*(1 + tau_c[t]))/(1 + tau_c[t+1]))*((1 - (tau_k[t+1]))*(eta[t+1] - (delta)) + 1) - (1)\n", "\n", "definitions\n", " 1 : eta[t] = ((alpha)*(A))*((k[t])^(alpha - (1)))\n", " 2 : w[t] = (A)*((k[t])^(alpha)) - ((k[t])*(eta[t]))\n" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = yaml_import(url)\n", "model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's construct some dictionaries to hold the shocks in our experiments.\n", "\n", "In the `deterministic_solve` function, simulations last for `T` periods. dolo assumes that if a given time-series of shocks is less than `T` in length, that the corresponding shock will hold its last given value until period `T`. Thus, to implement the once-and-for-all increase in our exogenous variables we simply need to pass the values before the increase and a single instance of the value after the increase. \n", "\n", "We do this below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "shocks_1 = {\"g\": [0.2]*9+[0.4]}\n", "shocks_2 = {\"exog_tau_c\": [0.0]*9+[0.2]}\n", "shocks_3 = {\"exog_tau_k\": [0.0]*9+[0.2]}\n", "shocks_4 = {\"g\": [0.2]*9+[0.4, 0.2]}\n", "\n", "# also specify how long to simulate and plot\n", "T = 101 # simulation length\n", "p_T = 40; # Periods to plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experiment 1 (RMT 3 Figure 11.9.1)\n", "\n", "Now we are ready to do the experiment corresponding to the once-and-for-all increase to $g$ in period $10$.\n", "\n", "First, we solve for the equilibrium transition in this experiment" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[33mUserWarning\u001b[0m:/home/pablo/.local/opt/miniconda/lib/python3.8/site-packages/dolo/algos/perfect_foresight.py:142\n", " `shocks` argument is deprecated. Use `exogenous` instead.\n" ] }, { "data": { "text/html": [ "
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ktau_ctau_kcetawgexog_tau_cexog_tau_k
-11.4899560.00.00.6426450.2526320.7642260.20.00.0
01.4899560.00.00.5938530.2526320.7642260.20.00.0
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41.7147930.00.00.5782290.2299280.8005060.20.00.0
51.7883920.00.00.5701840.2235440.8116850.20.00.0
61.8720000.00.00.5603960.2168050.8240160.20.00.0
71.9670780.00.00.5488570.2097270.8375990.20.00.0
82.0749530.00.00.5355890.2023570.8524870.20.00.0
\n", "
" ], "text/plain": [ " k tau_c tau_k c eta w g exog_tau_c \\\n", "-1 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "0 1.489956 0.0 0.0 0.593853 0.252632 0.764226 0.2 0.0 \n", "1 1.538749 0.0 0.0 0.592329 0.247236 0.772396 0.2 0.0 \n", "2 1.591501 0.0 0.0 0.589249 0.241715 0.781036 0.2 0.0 \n", "3 1.649677 0.0 0.0 0.584567 0.235970 0.790345 0.2 0.0 \n", "4 1.714793 0.0 0.0 0.578229 0.229928 0.800506 0.2 0.0 \n", "5 1.788392 0.0 0.0 0.570184 0.223544 0.811685 0.2 0.0 \n", "6 1.872000 0.0 0.0 0.560396 0.216805 0.824016 0.2 0.0 \n", "7 1.967078 0.0 0.0 0.548857 0.209727 0.837599 0.2 0.0 \n", "8 2.074953 0.0 0.0 0.535589 0.202357 0.852487 0.2 0.0 \n", "\n", " exog_tau_k \n", "-1 0.0 \n", "0 0.0 \n", "1 0.0 \n", "2 0.0 \n", "3 0.0 \n", "4 0.0 \n", "5 0.0 \n", "6 0.0 \n", "7 0.0 \n", "8 0.0 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# output is a pandas.DataFrame containing the equilibrium\n", "# time series of each variable in the model\n", "sol = pf.deterministic_solve(model, shocks=shocks_1, \n", " T=T, ignore_constraints=True)[:]\n", "sol.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, we will also want to solve for the equilibrium path assuming no chagnes to any of the government variables ($g=0.2$, $\\tau_c=0$, and $\\tau_k=0$ forever)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n" ] } ], "source": [ "# produce solution assuming no change in any shocks\n", "# this will keep the model in the steady state the entire time\n", "sol_ref = pf.deterministic_solve(model, T=T, ignore_constraints=True).iloc[:p_T]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will want to show plots of $\\bar{R}_{t,t+1}$, but notice that we did not include it in the yaml file above. \n", "\n", "What we will do is use the `eval_formula` method on our `model` object, which will allow us to pass a string containing the dolo equation representing $\\bar{R}_{t,t+1}$ and the time series received from the `deterministic_solve` function." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "
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ktau_ctau_kcetawgexog_tau_cexog_tau_kRb
01.4899560.00.00.6426450.2526320.7642260.20.00.0NaN
11.4899560.00.00.6426450.2526320.7642260.20.00.01.052632
21.4899560.00.00.6426450.2526320.7642260.20.00.01.052632
31.4899560.00.00.6426450.2526320.7642260.20.00.01.052632
41.4899560.00.00.6426450.2526320.7642260.20.00.01.052632
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" ], "text/plain": [ " k tau_c tau_k c eta w g exog_tau_c \\\n", "0 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "1 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "2 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "3 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "4 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "\n", " exog_tau_k Rb \n", "0 0.0 NaN \n", "1 0.0 1.052632 \n", "2 0.0 1.052632 \n", "3 0.0 1.052632 \n", "4 0.0 1.052632 " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Rbar_formula = \"(1+tau_c)/(1+tau_c(1))*((1-tau_k(1)) * (alpha*A*k(1)**(alpha-1) - delta) + 1.)\"\n", "sol[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol)\n", "sol_ref[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol_ref)\n", "\n", "# notice the new column\n", "sol_ref.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will also want to show the steady state. We could solve for it numerically,\n", "but since the model is simple enough, the calibrated values given with \n", "the model, already solve it in closed form." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'k': 1.489956493434779,\n", " 'tau_c': 0.0,\n", " 'tau_k': 0.0,\n", " 'c': 0.6426452513109608,\n", " 'g': 0.2,\n", " 'exog_tau_c': 0.0,\n", " 'exog_tau_k': 0.0,\n", " 'beta': 0.95,\n", " 'gamma': 2.0,\n", " 'delta': 0.2,\n", " 'alpha': 0.33,\n", " 'A': 1.0,\n", " 'eta': 0.2526315789473684,\n", " 'w': 0.7642264884986042}" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.calibration.flat" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# These commented flatlines are how we could solve for the setady state numerically\n", "# from dolo.algos.dtcscc.steady_state import find_deterministic_equilibrium\n", "# ss = find_deterministic_equilibrium(model)\n", "ss = model.calibration\n", "kbar, cbar, etabar, wbar, gbar = ss[\"k\", \"c\", \"eta\", \"w\", \"g\"]\n", "Rbar = sol_ref.loc[0, \"Rb\"] # steady state is also in sol_ref" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " k tau_c tau_k c eta w g exog_tau_c \\\n", "0 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "1 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "2 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "3 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "4 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "5 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "6 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "7 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "8 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "9 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "10 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "11 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "12 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "13 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "14 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "15 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "16 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "17 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "18 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "19 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "20 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "21 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "22 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "23 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "24 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "25 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "26 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "27 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "28 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "29 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "30 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "31 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "32 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "33 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "34 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "35 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "36 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "37 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "38 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "39 1.489956 0.0 0.0 0.642645 0.252632 0.764226 0.2 0.0 \n", "\n", " exog_tau_k Rb \n", "0 0.0 NaN \n", "1 0.0 1.052632 \n", "2 0.0 1.052632 \n", "3 0.0 1.052632 \n", "4 0.0 1.052632 \n", "5 0.0 1.052632 \n", "6 0.0 1.052632 \n", "7 0.0 1.052632 \n", "8 0.0 1.052632 \n", "9 0.0 1.052632 \n", "10 0.0 1.052632 \n", "11 0.0 1.052632 \n", "12 0.0 1.052632 \n", "13 0.0 1.052632 \n", "14 0.0 1.052632 \n", "15 0.0 1.052632 \n", "16 0.0 1.052632 \n", "17 0.0 1.052632 \n", "18 0.0 1.052632 \n", "19 0.0 1.052632 \n", "20 0.0 1.052632 \n", "21 0.0 1.052632 \n", "22 0.0 1.052632 \n", "23 0.0 1.052632 \n", "24 0.0 1.052632 \n", "25 0.0 1.052632 \n", "26 0.0 1.052632 \n", "27 0.0 1.052632 \n", "28 0.0 1.052632 \n", "29 0.0 1.052632 \n", "30 0.0 1.052632 \n", "31 0.0 1.052632 \n", "32 0.0 1.052632 \n", "33 0.0 1.052632 \n", "34 0.0 1.052632 \n", "35 0.0 1.052632 \n", "36 0.0 1.052632 \n", "37 0.0 1.052632 \n", "38 0.0 1.052632 \n", "39 0.0 1.052632 " ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol_ref" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now all the computations are done, we will work on constructing figure 11.9.1 in RMT3.\n", "\n", "Note that we will first construct the plot by hand, which will require some effort on our part. Then below we will show how to leverage convenience functions in `dolo` to make that task easier." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Set up plotting materials \n", "o = np.ones(p_T)\n", "names = [[\"k\", \"c\", \"Rb\"], [\"eta\", \"g\", \"w\"]]\n", "titles = [[\"k\", \"c\", r\"$\\bar{R}$\"], [r\"$\\eta$\", \"g\", \"w\"]]\n", "ss_vals = [[kbar, cbar, Rbar], [etabar, gbar, wbar]]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate plots\n", "psol = sol.iloc[1:p_T]\n", "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(8, 8))\n", "for ind_i, i in enumerate(names):\n", " for ind_k, k in enumerate(i):\n", " ax_ik = axes[ind_i, ind_k]\n", " psol[k].plot(ax=ax_ik, linewidth=2, title=titles[ind_i][ind_k])\n", " ax_ik.plot(o * ss_vals[ind_i][ind_k], 'k--')\n", "axes[1,1].set_ybound(.18, .42)\n", "fig.suptitle('RMT4 Figure 11.9.1', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constructing that plot was a lot of book-keeping work.\n", "\n", "Thankfully there is a convenient function in dolo that will do most of that work for us, while still allowing us to customize and tweak the figure to our liking. Here's another way we might have created the figure above." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# construct dictionary of plot keyword arguments. \n", "# We do this so we can re-use them below.\n", "# line_options is applied to all lines in a particular DataFrame\n", "plot_kwargs = dict(variables=['k','c','Rb','eta','g', 'w'],\n", " line_options=[\n", " {'color':'black', 'linestyle':'--'},\n", " {'linewidth':2},\n", " {'linewidth':2, \"linestyle\": \"-.\"},\n", " ],\n", " titles=['k', 'c', r'$\\bar{R}$', r'$\\eta$', 'g', 'w'])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_irfs([sol_ref, psol], **plot_kwargs)\n", "fig.suptitle('RMT4 Figure 11.9.1', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This was a much easier way to construct the same plot. We will use this approach going forward." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Change in IES (RMT3 Figure 11.9.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now want to highlight the impact of the parameter $\\gamma$ in the household's preferences. The intertemporal elasticity of substitution (IES) for these preferences is given by $1/\\gamma$. This means that higher values of $\\gamma$ decrease IES, making the household less willing to substitute consumption across time.\n", "\n", "Let's perform the same experiment as above, but this time with $\\gamma$ set to $0.2$ instead of $2.0$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[33mUserWarning\u001b[0m:/home/pablo/.local/opt/miniconda/lib/python3.8/site-packages/dolo/algos/perfect_foresight.py:142\n", " `shocks` argument is deprecated. Use `exogenous` instead.\n" ] } ], "source": [ "# Change gamma and compute solution again\n", "model.set_calibration(gamma=0.2)\n", "sol_ies = pf.deterministic_solve(model, shocks=shocks_1, T=T, ignore_constraints=True)\n", "sol_ies[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol_ies)\n", "psol_ies = sol_ies.iloc[:p_T]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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JEpxOYvv27SQmJvLQQw8hw6ZEV7B8+XIGDx5MYGAgcXFx3HjjjZ4OSYgOs2XLFsxmM+PGjQOgpKSEJ554goKCAsaMGePh6DonP08HIJq3bt06brjhBh5//HF+85vfeDocITrcggULWLJkCYsWLWLKlCmUl5fz0UcfeTosITrM1q1bsdvtdO/eHa01lZWVKKWYPn06d911l6fD65RkFpWXmjBhAn379mXSpEn8z//8D6+88gp33nmnp8MSosNVVFQQExPDM888wyOPPOLpcIRwi+uuu46QkBCeeeYZqqqqWLZsGZmZmaxZswZ/f39Ph9cpSReVF/vkk0+44447+Mc//iHJjegydu/eTXV1NVOmTPF0KEK4zdatW7nkkkvo27cvQ4cOZfny5ezcuZO3337b06F1WpLgeLEhQ4bQq1cv/vznP1NbW+vpcIRwK6WUp0MQwi2ys7PJysriwgsvdD4XEBDANddcw1tvveXByDo3SXC8WHJyMhs2bGDfvn389Kc/paamxtMhCdHhBg8eTFBQEJ9++qmnQxHCLbZs2QLA0KFDGzw/ZcoUNmzYQF5enifC6vQkwfFyiYmJfPnllxw5coRrr72WqqoqT4ckRIcKDQ3l17/+NU8//TTLly9n//79fP/99zz//POeDk2IDrF161a6d++OxWJp8PyPfvQj7HY7H3zwgYci69xkkLGXcgwyfu211wDIy8tj8uTJxMTE8J///IeQkBAPRyhEx9Fas2zZMlasWMHhw4eJiori8ssv5/333/d0aEKITkISHCGEEEL4HOmiEkIIIYTPkQRHCCGEED5HEhwhhBBC+Jw2L9WQn5/P8uXLKS4uRinF5MmTueqqqxrsc/LkSecgwZ/97Gdce+217Q5YCCGEEKI5bU5wzGYzd955J71796aqqop58+Zx4YUXkpyc7NwnNDSUe+65xznHXwhvtH37dlatWoXdbmfSpElMmzat0T67d+/mjTfewGazERYWxm9/+1sA7r//foKCgjCZTJjNZhYtWgRAeXk5S5cuJS8vj9jYWB566CFCQ0Pd+bKEEKJLa3OCExUVRVRUFADBwcEkJSVRWFjYIMGJiIggIiKC9PT09kcqRAew2+28/vrrzJ8/H4vFwmOPPUZaWlqD+7iiooLXXnuNJ554gpiYGEpKShqcY8GCBYSHhzd4bvXq1QwdOpRp06axevVqVq9ezR133OGW1ySEEMJFq4nn5uZy+PBh+vbt64rTAZCVleWyc7VVTEwM+fn5ng7Da+IA74klMTHRJefJzMwkISGB+Ph4AMaOHcuWLVsaJDhff/01o0ePJiYmBjAS9+Zs2bKFp59+GoDx48fz9NNPtyjB8Yb7Hrzn5yxxNOaqe9/beMO97y0/Z2+JA7wnlrbc9+1OcKqrq1myZAl33313u4rPrV27lrVr1wKwaNEi5x8TT/Lz85M4zuJNsbhCYWFhg+qhFouFAwcONNgnOzsbq9XK008/TVVVFVdddRXjx493bl+4cCFgVB2dPHkyACUlJc4WzqioKEpLSzv6pQghhDhDuxIcq9XKkiVLuOyyyxg9enS7Apk8ebLzjwPgFRmjt2Su3hIHeE8srvoU21Sdy7MXebTZbBw+fJgnn3yS2tpa5s+fT79+/UhMTOSZZ54hOjqakpISnn32WRITExk8eHCLr++NiT14TyIrcQgh2qrNCY7WmpUrV5KUlMQ111zjypiEcBuLxUJBQYHzcUFBgbPl5cx9wsLCCAoKIigoiEGDBnH06FESExOJjo4GjG6rUaNGkZmZyeDBg4mIiKCoqIioqCiKiooajdFx8MbEHrwnkZU4GvPVLiohXK3NdXD27dvHhg0b2LVrF3PnzmXu3Lmkp6ezZs0a1qxZA0BxcTEzZ87kv//9L//3f//HzJkzqaysdFnwQrRXnz59yM7OJjc3F6vVysaNG0lLS2uwT1paGnv37sVms1FTU0NmZiZJSUlUV1c7Fz+trq5mx44dpKamOo9Zv349AOvXr2fUqFHufWFCCNHFtbkFZ+DAgbz33nvn3ScyMpKVK1e29RJCdDiz2cy9997LwoULsdvtTJw4kZSUFGeSPmXKFJKTkxk2bBiPPPIIJpOJK664gtTUVE6dOsXvf/97wOjGuvTSSxk2bBgA06ZNY+nSpXz++efExMTw8MMPe+olCiFEl+S1i23KiHrviwO8JxZfbab3hvsevOfnLHE0Jvd+x/GWn7O3xAHeE0tb7ntZqkEIIYQQPscldXA6K/vH/4RTJ1E/n91o5owQnnDjjTc2eHzNNddw9913U1VVxZ133tlo/5tuuolbbrmFwsJCZsyY0Wj7nXfeyXXXXcfJkyd58MEHG22fMWMGU6ZMITMzk3nz5jmf9/f3p66ujtmzZ3P55Zeza9cuZ12fMz366KOMGjWKLVu28MILLzTa/vTTTzNkyBA2bNjAsmXLGm1ftGgRffv2Zc2aNbz66quNtr/11lsEBwfz4Ycf8tZbbzXa/uqrrxIdHc27777L+++/f87j33jjDf7f//t/jbb/85//BGDlypXO2WwOQUFBvP322wA899xzzm5Lh6ioKP785z8D8Pzzz7Nt27YG27t3787//u//AvDUU0+xZ8+eBtt79+7Niy++CMBvfvMbDh061GD74MGD+d3vftcoZl+lrXXYX3qal+t6sL6sCnIPooqzUWi3/R7s27eP++67r9F2d/we9OjVm3+v+YJ3/vUhfiERWE3+aL9A8PPn5QduISkpiQ8//JA3tmahQyIx71mLqjKKjt7w2EvsLdFk5+SQm5sHSgHK+F8p+vTpizKZyM/Lp7ikGFCYt76PKjdaZm5csJJNx8uIzNrGrk/+AYA9aQi2/uMxm03OsYW5uXlUVFY0iN3PbCY5OQWAgAMbOPz1f4zjEy/ANnACEaXHeHPezwGY++wS9kePaHB8YEAg3bt3B4ySHDW1NQCo0lxWz7ul0feqNbp0gqM//idUVaKuugnifLPZVwghOgPl509Vbi7rh96GzWSGC4CaCkxZuylUIU2WdOiMtH8wOjoZHZmEDrVANwsLtlkp/24/kAQTZ2E7+5gzXrs9YQBEJkLmRqhPcE6WW9meXQ2EQWxYo2tmFtUaX5hCIap+yRizv3N7XkUdh4tqGKJOP6cDQiCyOzbgcJGRdOAfDhENZ4RagSPFxvbeprOOj+iOrfr0LFVtMkNE9wbH15xxPMHREFy/wWZt9Dpaq8uOwdE1Ndh/dRMApod+ixo8vNE+3tL36C1xgPfE4qvjEBZ//D39LEH0swQTFey5zx/e8nOWOBrz1Xs/KyuLqt8/yZZCzY7LbuH7mhByK+qc25PCA7iqfyQ/7heF2dQxLe4d8XPWWjfoIZjz0eHTCcMZTAoigvyIDDITGxaMPza6BZgI8Tdz17BY52v+7ngZFXV20hK7ER5kvEccKaqmsMqKSSlMCkxKoXA24KBQOEJwPJ8SEUiQnzFKJbe8jvJaGzEhfs5zllZbya+0EhkVSXFRsTPO83V2WEL8CQ80O48vqLISFmgmJsRIfGqsdrLKalv0fQs0m0gMD3A+9kgl406rtMj5pc4/hXRQCW/w3q7Tn3ZGJnbj5iExDIwNPs8RQviOwO5JjNv3EZea01DXXcfR4hq+OFzKl4dLOFlay5+35vJZZgkzL45nUGzbK+e7g82ueef7PL46WsaiKalY6v/ID40PIcjPRH9LECkRgXQPC6B7mD9RwX6Y6rOH8yVao1Mat9D0jAqiZ1QTO7dQXKg/cfg3eC48yEh2YmJCyVfVrT6n4/gzBfqZ6BUV1PZAW6kLJzjFp7/Oz/VYGEKc6aeDosksrGZffhXbsirYllXBRQkh3H5RLANiJNERPq57/RpwOSdQStEzKoh7ooK4a1gs350oY1V6HkeKa5i35hg/6hPB9LR4ZyuEtzGbFMdKasmtqOO7E+Vc1d/IQH4xMt7DkXUe2lqH8vNvfsdzkAQHIP+Ux8IQ4kx3j4gDjObdD/cW8d99RXyfU8nu3KM8PC6RcalNV0QWwheohGQ0oLNPNHjebFKMTQ1nZGIo7+8q4IMfCvjsYAmnKup4akIK/mbvaIP/+mgp8aH+9LMYH0Z+MTKOnw6OZpC0wjZLl5XA4f3oYwfRRw/BsYOQ2hvz/U+0+ZxdNsHRJQ27qITwJuFBftw5LJZpg6J55/s8Pj5QzO+/zqJ2jGZi7+ZXMxeiU+puzMYh53iTmwP9TNwxLJbLeobz1Lpj9IoMxBsacLTW/GNnPv/YWcCQuGCenZyKUqq++ymg+RN0MVprOHUSvW8XZP6APrQXcrMb7+jfvu9dl01wGrTgFEgXlfBOYYFm7hsVT3iQmXd3FvDHb7OpsdmZ2q8dHe5CeKvIaAgKhvIydFkpKqzpFssekYH88apeRASZPV7io85m5+VNOXx5pBSTanqMjABdWoTelQ67M4zEpqSw4Q4BAdCjL6pHP+jRG5XaBxKS2nXNLpzgFJ3xdTG6pgYVGOi5eIQ4B6UUt10YS5Cfib9m5PHK5lOEB5oZK91VogOsWLGC9PR0IiIiWLJkSaPtWmtWrVpFRkYGgYGBzJo1i969ewNw//33ExQUhMlkwmw2s2jRolZdWykFCclw5ABkH4ewC865b+QZswyLq6x8c6yMqwe4N/Gvttr53RfH2Z1bRZCf4pFxSYxKDnVrDN5Kaw0nj6LTN6J3bIWjmQ13CItADRgK/S9A9R4IST1Qfq5NSbpsgqNLihs+UXAKElM9EosQLXH9YAtoOFBYTZ9o981EEF3LhAkTmDp1KsuXL29ye0ZGBjk5OSxbtowDBw7w2muv8dxzzzm3L1iwgPDwtiffqnsy+sgBdM5xVP9zJzgONrtm/rpjnCyt5aKEEJIj3PdB9dUtp9idW0V0sB9PTkimt/xeorOOoTd9id62EXLPKPfiHwADhqKGjEQNuhC6p3R461uXTXAoKzb+DwyCmmqjm0oSHOHlfjo42uNN8sK3DR48mNzcc3fbb926lcsvvxylFP3796eiooKioiKiolzUeuIYh5N9skW7m02KwbEhRAX74c6ibl8cKmHdoRICzIqnr0ihR2TX7QHQ5aXo7zagv/28YUtNWARq2GjU8EtgwBBUgHu/R103wXEMMu7ZD/btlFo4olM4M7mxa02tTXvtNFnhmwoLC4mJiXE+tlgsFBYWOhOchQsXAvCjH/2IyZMnt/r8zplU5xho3JT/SYt360yqEyU1rNySA8CMtPgum9zoIwfQX3yE3rwBrPVFGYO7oUZdihp1GfS7AGU2eyy+LpngaK2dY3BU7wHofTtlqrjoVI4UVfPydzmkRATy4CXdmz9ACBdpqvi9I/F+5plniI6OpqSkhGeffZbExEQGDx7c5HnWrl3rXP9r0aJFzqTJOngoBYDpVFaDRMod/Pz8mr1mjdXGHz75nmqr5kcDYvnZ6D4ub1VtSRzucnYs2m6nZvNXVH7wNnX7dzufDxg+muArriZw1GVeM561SyY41FRBba0xajupBwBaiv2JTiTQz8ThomoKK61U1tkI8ffcpyTRtVgslgZVdgsKCpytN9HR0QBEREQwatQoMjMzz5ngTJ48uUELj+Oc2hwIZjP2vBzyTp5s1R/LI0XVvLk9j2sGRDEisfWDfVuyVMOq9FwOFlSSGObPvRdFUlBQcN7928KblgZxxKJtNvSWDeiP/mkMAAcI6YYaNxk14cfY4hIpB8rLyqCszOVxyFINLeUYYBwehYqJN/ptpQVHdCLdwwJ4Ynwyg2JDCPaXLirhPmlpaXzyySeMGzeOAwcOEBISQlRUFNXV1WitCQ4Oprq6mh07dnDjjTe2+vzKz89Y/Dj7OJw6Aal9Wnxsen3176IqK8O6d3MufeAqxdVWPtpvtP4/PC6xS3yw0Fqjt23E/sFbcKp+XFR0DGrK9ahLf+Q1rTVN6aIJTv34m4goiK0vmy0JTpe1fft2Vq1ahd1uZ9KkSUybNq3RPrt37+aNN97AZrMRFhbGb3/7W/Lz81m+fDnFxcUopZg8eTJXXXUVAO+99x7r1q1zzia59dZbGTFihEvjbssnVCGa89JLL7Fnzx7KysqYOXMmN998M1arsbLzlClTGD58OOnp6cyePZuAgABmzZoFQElJCb///e8BsNlsXHrppQwbNqxtQXRPhuzj6OwTRj2UFrp6QBT/2VfEoaIavs+pZHj3bm27/jnkVdQRE+JHUnigs1qxL9P7d1P04dvYHV1Rcd1RV92EGj2+XUsouEvXTHAcM6jCIo1/AQFQWY6urECFuPYXQng3u93O66+/zvz587FYLDz22GOkpaWRnJzs3KeiooLXXnuNJ554gpiYGEpKSgAwm83ceeed9O7dm6qqKubNm8eFF17oPPbqq6/m2muv7fDXUG21U1JtJT5UKqaK9pszZ855tyulmD59eqPn4+PjWbx4sUticAw0JudEc7s2EOhnYnKfCN7bVcB3x8tcnuD0swTz8jW9qai1ufS83kaXFqHf+wv6u/XYAcIjUT/5GerSKS6vVdORumTbtmOZBhURaQwOs9S34khF4y4nMzOThIQE4uPj8fPzY+zYsWzZsqXBPl9//TWjR492DrSLiDCWSoiKinIWOAsODiYpKYnCwrOqc3awHTkV3PnPAyz/Lset1xWiQ9UvuqmzWz6TyuHi+kJ7m0+WNzkgur3MJtVolWxfoe027F9+hH3+LPR368E/gG633Itp4Z8wTbiqUyU30FVbcBzLNITX122IiTf6e/NPQUovj4Ul3K+wsBCLxeJ8bLFYOHDgQIN9srOzsVqtPP3001RVVXHVVVcxfvz4Bvvk5uZy+PBh+vbt63zu008/ZcOGDfTu3Zu77rqL0FDXdyn1igrCatfsPFVJWY2NsEDfHxMgfJ/qnmK04GS3rgUHoE90ENHBfhRUWjlUVOOSopg1Vjvv7Srgqv6RWEK8v2umLXReDva/vASZe4wnhozEdNt9hA4aQrWXDHhura6d4EQYCY6yxBl1FwqkFk5Xc74prw42m43Dhw/z5JNPUltby/z58+nXr59zVH91dTVLlizh7rvvJiQkBDDGKjgGWL777ru8+eabzrEKZzrXVNmWigFGJOex9XgxP5TAVYNdM7XUW6apShxdVHz9GkS5WWibrVW1VExKMSoplE8zi9l8oswlCc7agyX8c3cBu3MrWTSlR7vP50201uiN69B//7MxwzgiCtOt98GISzp9UdEumeA4u6jCI40nYhwDjaWLqquxWCwNpnmeOeX1zH3CwsIICgoiKCiIQYMGcfToURITE7FarSxZsoTLLruM0aNHO4+JjIx0fj1p0iReeOGFJq9/rqmyrZGWEMjW4/DZD9lcHOeaFhxvmaYqcTTWlumynY0KCoboGCjMN1rW41v3mi9OdiQ45dx6YWy74xkcF8y41DAu7+lb67/pygrsf/1fSN9oPDFiLKY7Zp1zkdPOpkuOwTndRRUJgIqJA0DLTKoup0+fPmRnZ5Obm4vVamXjxo2kpaU12CctLY29e/dis9moqakhMzOTpKQktNasXLmSpKQkrrnmmgbHFBWdXsx18+bNpKSkdNhrcIw52J5dQVWdvcOuI4RbJTiWbGj9OJwLE0II8lMcKqohr6Ku3aH0igriN5clMcaHVgrXWcewP/eIkdwEh6DufQjTzEd9JrmBLtqC41xJPOKMMTggU8W7ILPZzL333svChQux2+1MnDiRlJQU1qxZAxhdTcnJyQwbNoxHHnkEk8nEFVdcQWpqKnv37mXDhg2kpqYyd+5c4PR08LfffpsjR46glCI2NpYZM2Z02GuwhPgzICaYfflVpGeXM05WGRc+QHVPRu/JMKaKDxvd/AFnCDCbGN69G98eL2fziXK3rzLu7fTWr7G/scxYhzGpB6ZZj6PifK8iepsTnPPVAHHQWrNq1SoyMjIIDAxk1qxZzlknnmIs01BsPGiii0pr3en7HUXrjBgxolGNmilTpjR4fO211zaa8j1w4EDee++9Js/5wAMPuDbIZlySEsq+/Co2HZMER/iIhPpSDadaP9AY4OLkMCPBOdn2BEdrzatbTzEwJphxPcLxM3Xuvw1aa/R//oH+z98BUBePR911PyrQN1dBb3MXlaMGyNKlS1m4cCGffvopJ040vBEzMjLIyclh2bJlzJgxg9dee63dAbdbZQVYrUaTnGNl05BQCAo2BliVu77EtBAdzdF0vuVkOXU26aYSnZ9KMAYa65yWrSp+trTEbpgU7DpVQWVd2+rWHC+p5aP9xby+LbfTT0DRNhv6reVGcqNMqFt+gZr+sM8mN9COBKclNUC2bt3K5ZdfjlKK/v37U1FR0WBsgkc4uqfCT2f0SqnTrTgF0k0lOp/uYQH0igqkympnd26Vp8MRov0cLTjZJ9pUzyY8yI8f9YnkpgtiaGvOv/lEOQBpSaGYO3Hrja6pwf7K8+iv1oB/AKZZ8zBNvs7neytcMsi4qRogYNQYOXNqpcVicXshtEYcyzSERzR8XsbhiE5ucJwxRf1gYbWHIxHCBSKiIDgEKsuhvLRNp5g1OoGfXRjT5vpQm08aLfqOgfydka6uxL70Sfh+M3QLw/TwM6hhYzwdllu0e5BxUzVAHFpSY8ShvfVAWqpa2ygBAmMTiDzjGmXJPajc/h0hVeV0q3/eW2pfeEsc4F2xiIZ6RRpdrkeKajwciRDtp5QyWnEO7zcK/oVFNH+QCxVVWdmfX42/STHMxUs+uIuursT+x9/Cwb0QHYNpzu9Q3ZObP9BHtCvBOVcNEAeLxdKgdkRTNUYcXFEPpCXsJ48BUBsU0uAa9lDjl6ficCZV9c97S+0Lb4kDvCeWrlALpLV6RhkJzuFiacERvkHFJ6EP70fnnED1v6BN59iTW8nhohp+1DeCAHPLOy22nCxHAxclhBDk1/kqqujqKuzLfgeZPxjJzSPPoWITPB2WW7X5p3a+GiAOaWlpbNiwAa01+/fvJyQk5JwJjtuUFBv/O2ZQ1VP1haR0brZ74xHCRXpEBvLAmAQeHivJn/AR9QONW7vo5pmWf5fDq1tPcbyktlXHOcbfXJzc+Wrf6Joa7P/7DBzYA5EWTL9e2OWSG2hHC86+ffuarAHi+HQ/ZcoUhg8fTnp6OrNnzyYgIKDJUvVud/YUcQdHafBTbRuxL4SnBZhNTO4T6ekwhHAZ1d1YVbytM6kAxqaGUVhlxd/c8gG1NVY73+dUAJCW1Lm6p7Tdhv3Pi2H/LoiIxvTIQp+scdMSbU5wzlcDxEEpxfTp09t6iQ6hSx0riZ/VkmSJBT8/KC5EV1cZpcKFEEJ4jmMmVTtacG6/qPVLNWzPqaDWpulnCepUi2tqrdH/eM0YUBzSDdPDv3P2TnRFna9jsb2cs6giGzytTGaIrc9yc7PcG5MQLnK0uIa/bDvFx/s9XI5BCFeI7Q7KZBRhrWtdF1N7fJ/taL3pXLOn9Gcfor/4L/j5Ybr/CVRiqqdD8qiul+CUlhj/hzcxFqi+m0qfkgRHdE75FXV8uLeIr4+2bVqtEN5E+ftDbDxoO7RxfKTWmuyyWr47XtbiejoHC42ZiANjOk9Lvt62Ef3PVQCoux9E9R/i4Yg8r0slONpug7Ji48HZdXA4PdBYxuGIzqqvJYjbL4zhxiEylV/4CGc3Vdvfl3/98RGe23CSourmKxrb7JrDRcZMxN7RnaPKrz55DPtfloLWqOvvwjR6vKdD8gpdKsGhvAzsdggNQ/k10a/qTHCkBUd0ThFBftw8NIbhnbRuhxBnU/UJjm7jOBylFD2cNaKaL6FQUmMjISyAhFB/wttYINCddHUl9pXPQ20NaswE1NQbPB2S1+haq4k7ZlCFRTa5WcUnGSP2JcERQgjv4IKp4r2iAtmTV8WR4hpGJJ5/XE10sB/Lru6Fzd765SHcTWuNfuN/jdatxFTUHbN8fvmF1uhiCU79wMuzZ1A5JJzuomrL2idCeIMTpTVsPVlO99AARqd0vhoeQpxJJdRPFc9ue4LTM8roajraiirfnWHtKb3uP+ht30BQMKZfzvPphTPbokt1Uen6In/q7Bo4DmGR9WufVLR57RMhPG1/fjWr0vP44rDcw8IHOMbgtOODp6OL6nBx8wlOSbW1U3zA1YcPOAcVm+6e7ezKE6d1qQSH4gLj/0hLk5uVUhAnA41F59arfsmGI7Jkg/ABKiwcQsOgugpK2rZYc2pEIAo4UVJDne3cyYtda+778BB3/SuTitrmByR7iq6tMQYV22yoST9BjRzn6ZC8UtdKcIrqE5yo6HPuohJkqrjo3JLDA/EzQU5ZHVV1dk+HI0T7OVon2thNFexvIiHMH5uGk6XnbsUpqKjFbAJ/k6JbgPcOMNYfvG2MSeqegrr+Lk+H47W61BgcXd+Co87RggPIkg1d0Pbt21m1ahV2u51JkyYxbdq0Rvvs3r2bN954A5vNRlhYGL/97W/Pe2x5eTlLly4lLy+P2NhYHnroIUJD3VM0zN+sSA4P5EhxDUeLaxgY23lqeQjRFBWfhM78AZ1zEjXoojado2dkINlldRwprnGOyTlbbGggb9/Yj9IaL2692bcLve7fYDJhuncOKiDQ0yF5ra7VglNc37x53gSnftFNacHpEux2O6+//jqPP/44S5cu5ZtvvuHEiYafEisqKnjttdd49NFH+cMf/sDDDz/c7LGrV69m6NChLFu2jKFDh7J69Wq3vi7nyuItmBYrhNfrfnocTls5kpojzQw0VkoREeSdn/11dSX2VS8Z9W6uuhnVs5+nQ/JqXSvBcXZRnTvBUY4WnHYUlRKdR2ZmJgkJCcTHx+Pn58fYsWPZsmVLg32+/vprRo8eTUyMUTwvIiKi2WO3bNnC+PFGsa3x48c3OmdHOz0Op+WzRoTwVs5aOO2ZSRXZ/O+E1cunhut//RUKciG1N+rqmz0djtfzzjS1A2i7rflp4gDxjvWostE2722mFK5RWFiIxXI64bVYLBw4cKDBPtnZ2VitVp5++mmqqqq46qqrGD9+/HmPLSkpISrKuM+ioqIoLW16RtPatWtZu3YtAIsWLXImUe11YaoZ0vPIqbS36Zx+fn4ui6U9JA4BuGTRzZ7NFPvTWnPda5uJDDTx/JRUQvy9awyOPnwAvf4TMJsx3fsQyq/L/Plus67zHSotMaoYh0U0XcW4ngoKgYhoKCnEXpALps6zkqxovaamg55dKMtms3H48GGefPJJamtrmT9/Pv369WvRsc2ZPHkykydPdj7Oz89v1fHnEmgzFibMKalq0zljYmJcFkt7SByNJSZ2wdWhY+LBbIbCPHRNDSqw9eNO4kL9CfIzUVRto6Ta2qgb6lR5HcVVdaDNBPt5V+eGttuwv/OK0TU1+TpUUg9Ph9QpdJ0ExzlF/NwzqJziE6GkEGvWMUju07FxCY+yWCwUFBQ4HxcUFDhbXs7cJywsjKCgIIKCghg0aBBHjx4977EREREUFRURFRVFUVER4eHh7nlBjphDjF/t/EqjpodUNxWdmTKbITbBGDqQlwXJvVp9DpNSzEiLw8+k8Dc3/n04WN+y0yc6yOt+X/SGT+FoJkTFoK65xdPhdBrelaZ2pGZq4JzJseimLet4R0YkvECfPn3Izs4mNzcXq9XKxo0bSUtLa7BPWloae/fuxWazUVNTQ2ZmJklJSec9Ni0tjfXr1wOwfv16Ro0a5dbXFeRnIjTAhNWuvXpGiBAt5pzh2vYJIJP6RDK+V0ST3U+H6lcQ7+NlC2zq0mL0B28BYLplOipIZkW2VJdpwdFFxgwqdZ4Bxk71v0jWrGMdGZLwAmazmXvvvZeFCxdit9uZOHEiKSkprFmzBoApU6aQnJzMsGHDeOSRRzCZTFxxxRWkpqYCNHkswLRp01i6dCmff/45MTExzplX7mQJ8ae8toaCysbN8UKcy4oVK0hPTyciIoIlS5Y02q61ZtWqVWRkZBAYGMisWbPo3bu3c7vdbmfevHlER0czb948l8Wl4hONJRtyTtIR7SuZhd65grj+11+N6vqDh8OISzwdTqfSdd71WtOCk2AsuiktOF3DiBEjGDFiRIPnpkyZ0uDxtddey7XXXtuiYwHCwsJ46qmnXBtoK8WE+HG0uIb8yjqve9MW3mvChAlMnTqV5cuXN7k9IyODnJwcli1bxoEDB3jttdd47rnnnNs/+ugjkpKSqKqqcm1gLmjBOVFaQ0ZWBfGh/lyc3HCdtsP1CU5fL/pd0UcOoDeuAz8/TLfd53VdZ96u63RRFbVyDA6S4AjP0Qf3tvscdw6L5Q8/7snQ+G4uiEh0FYMHDz5vUcqtW7dy+eWXo5Sif//+VFRUUFRkzFAtKCggPT2dSZMmuTwuRwkP3Y5aOJkF1by2LZcvz1qnrbzWRkmNjWB/EzEh3vG5X2uN/V9/BTCWY4jvgoPL26nLJDi6fg2T81YxdqgfsW/LzUbXSB0R4V72Lz/Gvug32P/113Yt+tcrKog+0UEE+3eZX3PhBoWFhQ2mzFssFgoLjffXN954gzvuuKNjWhocf+Db0YLTKyqIH/eL5OLkhglcbnkdAAnhXjTAeM922LsDQrqhfnyTp6PplLwjVXWHFqxD5aD8/I1FN7OPQ85x6NG3g4MT4gyBQWA2oz/5l7G44F0PSM0L4TXOVR5h27ZtRERE0Lt3b3bv3t3seVpbA0pbLOQFhaAryogO8McUHtHq2GNiYGTfpEbP7yo2SgAkRQR7Rb0js8mE6d/vYAdCb7iLbj16eiyWzlwDquu8a7ZkmYYzqOSe6Ozj6JNHUZLgCDcyXTIRHRaO/ZVF6G+/QJeVYpr5KCqwdWMDTpXX8sGeQkIDzNwxLLaDohVdjcViaVATyFEeYdOmTWzdupWMjAxqa2upqqpi2bJlzJ49u8nztKUGlI7rDscOUvDDTlSfge1/MfUOZht/HxLCAryi3lG3H9KxHtoPkRYqx1xBlQdj8pYaUG2p/9Ql2q51TTVUVYCfP3QLa/4AgERjlgwnj3ZcYEKcgxoyEtMjCyE0HHZtw/7SArS1rlXnqLVpPj5QzDfHyjooStEVpaWlsWHDBrTW7N+/n5CQEKKiorjttttYuXIly5cvZ86cOQwZMuScyU1bKedagW0fh3OkqJpNx8uorDtdPuFUuVEYs3u45wcYa2sdFe+8CoC69lZZTLMdukYLzhlrULW0f1Ul9TCmJEqCIzxE9eqP6dEXsP/hScj8Af3B26ib7mnx8XHd/PmftDjiuwV0YJTC17z00kvs2bOHsrIyZs6cyc0334zVagWM2YXDhw8nPT2d2bNnExAQwKxZs9wXXEL71wpctimHg4XVvHhlDwbEGDVlTtWPweke7vlkQn/1GfZTWZCQjBrr+sHaXUnXSHBaU8XYwVEK+6TUwhGeoxKSMN33G+wvzkOv+QA96CLUkMbT0psS6GfimgGtuOeFAObMmXPe7Uoppk+fft59LrjgAi644AIXRlXPOZOq7QONY0L8OFgI+ZV1DMBIcJLCAyiqtpISGQy4eHp7K2hrHfqTfwJgmna7UcFZtFnX6KKqT3BaNIPKISYeAgKhuABdUd5BkQnRPNVnIOra2wCw/2Up2rForBBdjHOqdDu6qBzTwAsqrc7n7h0Zzx9+3IveMZ4tqaC/2wCF+ZiTe8JwKerXXu1KcFasWMH06dP59a9/3eT28vJyFi9ezCOPPMJjjz3GsWMeag1xDjBu+adZZTLhl1q/3ol0UwkPUz++AQYMhbIS7K+/hLbbW3TcjpwK/rW7gKPFUu5A+IC4+gQnN7vFvwNniwkxFlDOr2jdmLaOpu02Z+tNtxvuRJm6RPtDh2rXd3DChAk8/vjj59z+wQcf0LNnT37/+9/zq1/9ijfeeKM9l2u7Vs6gcvBLNRba1FmS4AjPUiYzpukPQ2gY7MlAf7WmRcetP1LKm9vz2JvnuWZ3IVxFhXSD8Eioqz09trKVzlyIFqCyzkZBZR32dtSccomMTcbYIkscQZf+yLOx+Ih2JTjNVbw8ceIEQ4cOBSApKYm8vDyKi4vbc8k20WcMMm4Nv9T69VWkBUd4ARVpQd02EwD9n78bswObcfrN3Ls+rQrRZs5uqhNtOjymW30LTn2Cs/VkBfd+cJDFX7d9XE97aa2xf/Q+AOrK66XulYt0aBtYjx49+O677wDIzMwkLy/PWfHSrdoyBgfw61HfgiMJjvASKu1S6NkPSorQa//d7P6O5vgzxxsI0ZmphGSg7QONY85K+utsdiICzcTVJz4esTsdjh2C8EjUOJk55SodmiZOmzaNN954g7lz55KamkqvXr0wnaNfsbVVLVsjr7QYOxDduy/mVpxXBRjfHpV9HIul5VPMXc2bKkl6UyxdkVIK0w0/x75kPvqTf6Evn4oKCz/n/pZgx4BKacERPqKdSzZEBxuJTFGVFZtdM6lPJJP6RHq0i8r+sTH2Rv3oOql740IdmuCEhIQ4ayRorfnVr35FXFxck/u2paplS2i7HXuRca5Cu0K14rwWiwW6haHLy8jP3I9qZReXq3hLJUnwnljaUtXSV6iBF8KQEbArHf3Re6hbzj1l9+zxBkJ0dio+0ahR1saZVP5mRWSQmeJqG0XVVmcrp8lDH2D10UzYvxuCu6HG/9gjMfiqDu2iqqiocBaIWrduHYMGDSIkJKQjL9lYeQnYbBAajvJvXROkUuqMejjSTSW8h+mndwGgv/wInX/qnPtJF5XwOfW1cNqz6OaZvxeeHlysP/8vAOrSyahgN/999HHtasFpruLlyZMnefnllzGZTCQnJzNz5kyXBN0qRa2fIn4mlZSK3r8LnXW0xQXWhOhoKrU3avR49Hfr0R/+DfWLh5rcr1uAiUCzospqp7LORoi/FA4TnVxMAigT5Oei6+pa/cEVjJbNzEJjFfGn1h0jMsiPl6/p3QHBnp8uK0Fv3gBKoSZc5fbr+7p2JTjNVbzs378/y5Yta88l2s9ZxbiN3UuJ9S04J6QFx1dt376dVatWYbfbmTRpEtOmTWuwfffu3bz44ovO7tXRo0dz4403kpWVxdKlS5375ebmcvPNN3P11Vfz3nvvsW7dOsLDjfExt956KyNGuDZBVtfdjt7yFXrzevT1dzXZhaqUwhLiT1ZZLfmVVlIjJMERnZvy94eYOMjLgbzs0+sGtoJjJtWBgiqqrZoqqx1/s/u7qPTXn4G1DoamoeK6u/36vs7n56I5poi3dfyMSq5fkypLlmzwRXa7nddff5358+djsVh47LHHSEtLIzk5ucF+gwYNYt68eQ2eS0xMZPHixc7z3HfffVx88cXO7VdffTXXXntth8WuYhNg+BjYthG94RPUdbc3uV9MiB9ZZbUUVFpJjZABjMIHxCcZCU7OyTYlOKOTQ4kJ8cPfZCQ18R6YQaVtNvSXHwNguuJqt1+/K/D9UoltWYfqTI5fnqxjaLvt/PuKTiczM5OEhATi4+Px8/Nj7NixbNmypdXn2blzJwkJCcTGxnZAlOdmuuIaAPT6T9B1Tc+UsoTITCrhW5yriudlt+n4ixK6cf1gC90CjBbN+FAPTBH/fjMU5hnVmQcPd//1uwCfb8FpbxeVCgmFqBgoyoe8U6enKAqfUFhYaMyWq2exWDhw4ECj/fbv38/cuXOJiorizjvvJCUlpcH2b775hnHjxjV47tNPP2XDhg307t2bu+66q8mimO0tj6At4yns0Qfr0YOE7t9B8PgrG+2TElMOh0up1AEtPr+3lAOQOESTHN05uW1LcBxy65dr8EQNHPsX9YOLJ14lyzJ0EJ9PcHT9ION2TfFO6mEkOCePSILjY3QTMyjOrnfUq1cvVqxYQVBQEOnp6SxevLjB2DKr1cq2bdu47bbbnM9NmTKFG2+8EYB3332XN99801ky4UyuKI9gv3wqvLWc0g//TsUFIxttD8F4Ez+WX9Li83tLOQCJo7GuXCLBQcV1r58q3raZVHU2zZaTZfx9h/EzjQ8NcGF0zdMnj8HeHRAYhBorhf06iu+njfU1cNo8yBhQ9VPF9fHDrohIeBGLxUJBwek1bQoKCoiKimqwT0hICEFBQQCMGDECm81GaWmpc3tGRga9evUiMjLS+VxkZCQmkwmTycSkSZM4ePBgh70GNXo8hHSDw/vRhxu3Po1I7MYT45O4frBn6jgJ4XKOFpw2dlEBvPjV6eTI3V1U+qtPAVBjJhjra4kO4dMJjtYaCusTHEvbx0aonn2N8x3tuD9SwjP69OlDdnY2ubm5WK1WNm7cSFpaWoN9iouLnS09mZmZ2O12wsLCnNub6p4qKipyfr158+ZGXVqupAKDUPWL8+kv/l+j7fGhAVycHEZiuHs/pQrRYSzxYDZDYT66tqbVh/ubFRN6na4A7s4uKm2tQ3+3HgB1WeMuZeE6vt1FVVkONVUQHGKMpWmrHkaCw9FMtNYeW7JBuJ7ZbObee+9l4cKF2O12Jk6cSEpKCmvWGKt1T5kyhU2bNrFmzRrMZjMBAQHMmTPHeQ/U1NSwY8cOZsyY0eC8b7/9NkeOHEEpRWxsbKPtrqYmXIX+7ENj2viN96DCIzv0ekJ4kjKbwRJnjMHJOwVJrZ9J9asx3Vl/pBStIbabG/8U7tgK5aXG0IdU99fe6Up8O8EpyDX+j27nzJaYeAgJhdJiKCqAaBls6EtGjBjRqEbNlClTnF9PnTqVqVOnNnlsYGAgf/nLXxo9/8ADD7g2yGao2AQYMhJ2bkVv3oCa3HB6+gd7Csgpr+OeEXEE+fl0w63oKuK61yc4WW1KcPIr6rBrY5ahv9l9vxP2jesAUOMmy4flDubb73SFecb/7UxwlFJQv7I4xzLbGZQQHUNdMhHAqIx6lk8OFPPJgWLnCspCdHYqrn6qeBtnUh0uMrq27G5cqUGXFsHOrWA2G2PnRIfy6QRHFxgJjmrH+BsHVd9NpY9IgiO8k7rwYggMMgYb5+U02HbDBRamj4wjNEAqGQsf4RhofKptCc66Q8WAsaq4u+hNX4LdblQulm7kDufbXVTOFpymVzBvDdWzrzEtUQYaCy+lAgNRF402lm7YvAF19c3ObVP6RnouMCE6gHOqeBtnUv1PWjyQyw0XtLEIbCtprdEbPwfAJFPD3cLHW3AcY3BcMGYmtb6Lqn6gsRDeSI2+HGi6m0oIn1LfRdXWYn/xoQHMn5DMoFg3reB9NBNOHoWwCBia1vz+ot18OsFxTBFXlva34BATD93CoKzkdG0dIbzN4GHGfZp1DH3iiPPpY8U1fHm4hEOF1R4LTQiXssSCyQSFeei6Wk9H0yztGFw8ejzKz7c7T7yFbyc4rppFxVkDjWUcjvBSys8fNXIs0LAV55tjpSzdmM23x8s8FZoQLqX8/I2p4lpD/ilPh3Ne2mpFb/4KQCoXu5HPJji6rtaY1m02Q2RUs/u3hHOgsYzDEV5MXVzfTbXlK2d3qmNwcXmtLBgrfIiL1qTqcHu/h4oySExFpfTydDRdhs8mOM4KxpEWlMk1M0ecCY5MFRferN9giIw2PtUe2gdAWGB9glNj92RkQriUqk9w2romlbvorV8DoNIu9XAkXYvvJjiO7ilXjL9xqF+ygSMy0Fh4L2Uyo0ZdBhitOCAtOMJHuWBNqo6mrXXojE0AqLRxzewtXMlnExxdP0VcuWD8jVN0LISGGWW2C2WgsfBezgQnYxNaa2eCUyYJjvAh7S325xY/fA+VFZDUA9W949akE435bIJDfZG/9iyyeTalFKQ61qVqvGqzEF6jR18IjzRqQZ08Smig8asuLTjCpziL/XlvF5XeIt1TnuK7CY6Llmk4m6wsLjoDZTKh6mtt6B1bCHN0UdVIgiN8SEw8KJOxqnid9y1Douvq0Nu/A6R7yhN8NsFxFPlzSQ2cM6j6qeKyZIPwdurC+gRn51ZnF1VFnR27jB8TPsKYKh4L2g4FXjhVfE8GVFVAci9UQrKno+lyfLfaUKHru6gA6NnP+P/IfrTdjjL5bI4oOrvBw8DsBwf3YaooI8TfRGWdnco6u6xJJc5pxYoVpKenExERwZIlSxpt11qzatUqMjIyCAwMZNasWfTu3Zva2loWLFiA1WrFZrMxZswYbr755iau4GJx3Y0Zg6eywcuSiNOzp6T1xhN88q+ztttPVxuOcnEXVXSssfRDZQVkn3DpuYVwJRUUAgOGgLajd28jNKB+HI50U4nzmDBhAo8//vg5t2dkZJCTk8OyZcuYMWMGr732GgD+/v4sWLCAxYsX8+KLL7J9+3b279/f4fE6Bxrnedc4HF1Xe0b3lIy/8QSfTHAoLQKrFcIiUIGBLj+96jMIAJ25x+XnFsKVHONw2LFVZlKJFhk8eDChoaHn3L5161Yuv/xylFL079+fiooKioqKUEoRFBQEgM1mw2azGRMzOpq3FvvbnQHVVZDaGxWf6OlouiTf7KIq6JgBxk79BsOWryBzD4yf2jHXEG6zfft2Vq1ahd1uZ9KkSUybNq3B9t27d/Piiy8SF2eM5xo9ejQ33ngjAPfffz9BQUGYTCbMZjOLFi0CoLy8nKVLl5KXl0dsbCwPPfTQef9odBR14Sj0u6+hd6cT2tvoLiivlWJ/ou0KCwuJiTm9gLHFYqGwsJCoqCjsdjuPPvooOTk5XHnllfTr16/D43GuKn7KuxIc/f1mANTwSzwcSdfVrgSnub7ayspKli1bRkFBATabjZ/85CdMnDixPZdsEd1R42/qqT6DjF+ozB865PzCfex2O6+//jrz58/HYrHw2GOPkZaWRnJyw778QYMGMW/evCbPsWDBAsLDwxs8t3r1aoYOHcq0adNYvXo1q1ev5o477uiw13EuKq47JCRBzkmuCi1nXI9EksMD3B6H8B1NFTl1tNSYTCYWL15MRUUFv//97zl27BipqalNnmft2rWsXbsWgEWLFjVImlrD2n8wBYC54FSbz+Hg5+fX7nOAMUwif9c2NBA1fgr+rTynq+JwBW+KpbXaleBMmDCBqVOnsnz58ia3f/LJJyQnJzNv3jxKS0t58MEHueyyy/Dr6JVUO6LI35mSe0BQMOSfQhcXoCItHXMd0eEyMzNJSEggPj4egLFjx7Jly5ZGCU5rbdmyhaeffhqA8ePH8/TTT3skwYH6Vpyck4w+sRnTmHs8EoPwHRaLhfz804VOCwoKiIpquN5ft27dGDx4MNu3bz9ngjN58mQmT57sfHzmOVtD+xkJuy3/FHmnTqHMbR9AHxMT0+Y4GsR0eD/24kKIjqE4NBLVynO6Kg5X8JZYEhNb383XrjE4zfXVKqWorq5Ga011dTWhoaGY3DHryLlMQwe14JjM0Geg8UBacTq1wsJCLJbTCaqjuf1s+/fvZ+7cuTz33HMcP368wbaFCxfy6KOPOj+NApSUlDjf9KOioigtLe2gV9A8deEoAPSOrR6LQfiOtLQ0NmzYgNaa/fv3ExIS4rzHKyoqAKitrWXnzp0kJSV1eDzKPwAiLWCznZ4962HO7qkLL3bPOCTRpA5tSpk6dSovvvgi9913H1VVVTz00ENuSXB0/TIKHdaCA6i+g9C7M9CZP8gI+U7sfM3tDr169WLFihUEBQWRnp7O4sWLWbZsGQDPPPMM0dHRlJSU8Oyzz5KYmMjgwYNbfH1XNdOfj468jLyQUE4WV3Fsfz7JKQmMTIk87zHe0iwtcbjfSy+9xJ49eygrK2PmzJncfPPNWK1WAKZMmcLw4cNJT09n9uzZBAQEMGvWLACKiopYvnw5drsdrTWXXHIJI0eOdE/QcQlQXGBMF49NcM81z0N/vwUAddEoD0fStXVogvP999/To0cPnnrqKU6dOsUzzzzDwIEDCQkJabSvK9/oC0oKsQKRffq3uu/zTOd7U6sdeQlFH/4N8+H9WDr4jc+b3ly9KRZXsFgsFBQUOB831dx+5v06YsQIXn/9dUpLSwkPDyc6OhqAiIgIRo0aRWZmJoMHDyYiIoKioiKioqIoKipqNEbHwVXN9M3RA4eyJ8vKii35XFFQR49g63n395ZmaYmjsbY01bfGnDlzzrtdKcX06dMbPd+jRw9efPHFDorq/FRMAnr/bnReNmrQRR6JwUEX5MGJwxAYBAOGejSWrq5DE5wvvviCadOmoZQiISGBuLg4srKy6Nu3b6N9XflGb6sfTV9s8m913+eZzvempqPjwWTCevgAeSeOGTVHOog3vbl6SyyuepPv06cP2dnZ5ObmEh0dzcaNG5k9e3aDfYqLi4mIiEApRWZmJna7nbCwMGf3a3BwMNXV1ezYscM5uyotLY3169czbdo01q9fz6hRnv0kpwZeSErmx1xhPcYFcRd7NBYhXC7WGENHnuerGeudRusNg4cZ3WfCYzo0wYmJiWHnzp0MGjSI4uJisrKynFNtO4qurDBKYwcEQGjTn5pdQQUGQWofOHIADu03qsaKTsdsNnPvvfeycOFC7HY7EydOJCUlhTVr1gBGk/ymTZtYs2YNZrOZgIAA5syZg1KKkpISfv/73wNG3Y9LL72UYcOGATBt2jSWLl3K559/TkxMDA8//LCnXiIAasBQBvztTwzY8Tamu37k0ViEcLnY+lo4eTmejYMzuqculO4pT2tXgtNcX+0NN9zAihUr+PWvfw3A7bfffs6mepc5Y5HNjh7cpfoOQh85gM7cg5IEp9MaMWIEI0aMaPDclClTnF9PnTqVqVMb1zuKj49n8eLFTZ4zLCyMp556yrWBtkf3FGN18dJiyDlhPBbCR6iYeKN0h4cTHF1TDXt3gFLOteCE57QrwWmurzY6Opr58+e35xKtl1/fROniRTabovoORq/9t9TDEV5PKYV94IUc372f6h37GCwJjvAljoHF+R5uwdmzHax10Ks/Kjyq2d1Fx/K5SsaODF45miw7Ul9jyQYO7UPbbO2qvyBER7P2v4iHQq4hIM/G+54ORghXCouAwGCorEBXlKG6hXkkDOf08ItknJs38L21qBxNlG6YKqgioozr1FQbo+aF8GKBg4bgZ7dSq8xU155/FpUQnYlS6oyBxp5pxdFao3enG/HI+Buv4HMJzukWHPfUQlD9LzCuu3eHW64nRFup2ARCbdUAlB894tlghHC1GOM9X3tqJlX2cSguNMa6Jff0TAyiAZ9LcNzZggPAoGEA6D3b3XM9IdpIKUVYfS9q2YEDng1GCBdTcfXv+XmeWXTT8TdADbpIqhd7CZ9KcLTdBgX12bu7WnAcRaUO7EHX1brlmkK0VWiIUZej7Ih0qQofE+MYaOyZFhznh1yZUes1fCrBoagQrFYIjzTq1LiBCo+E5F5QVwsH9rjlmkK0VVi4sXZcefYptFXG4QjfoerH4Hhiqri21sH+XUYc9a36wvN8K8FxNE26eS0SRw0c6aYS3i401Ej8yzHD0UwPRyOEC3my2N+hfcZkk+4pqChL8/sLt/CpBMetU8TP4ExwfvjerdcVorVCA4xBOGX+ITIwXvgWSywoExTmGy0qbuQcfyPdU17FpxKc0wOM49173X6Dwc8fjh9Cl5W699pCtEJYfYJT7heC3pPh4WiEcB3l5w/RMaDtUJDn1mufHmA8zK3XFefnowmOm1twAgKNJEdr9F5pxRHeKzTQSHAqAkIg8wd0RbmHIxLChWLcXwtHV5TDkUwwm2HABW67rmieTyU47q6BcyZn5i7jcIQXc3ZRRSaA3e4sTCaEL3C892t3Ltmwb6fRatR7ACooxH3XFc3yqQTHmbXHeSDBOWOgsdba7dcXoiVCA4xf+YrwGOOJHVs8GI0QLub4cOvOFpwftgMy/sYb+cxaVLqiHCrLITAIwiLdH0BKLwgNN1YzP5UFCUnuj0GIZnQPC+DH/SJJUYEA6F3paLsNZZJ11IQPcLTguDPBkfE3Xst3WnAcTZIx8R6pIqlMJmfRP0dGL4S36R4WwMyLE7gqrafxx6CizJjiKoQPUI5if25arkHnn4LcbAjuBj37ueWaouV8JsHRuZ4ZYNyAI8HZLbNThHdTSjkXBNQ7tno4GiFcJO50F5U7hgro+uJ+9L8AZZZWUG/jM11UjiJ/yt1TxM+ghoxEA/ywHV1TgwoM9FgsouW2b9/OqlWrsNvtTJo0iWnTpjXYvnv3bl588UXi4uIAGD16NDfeeCP5+fksX76c4uJilFJMnjyZq666CoD33nuPdevWER4eDsCtt97KiBEj3Pq6zuVAQRVlNTYuHJqGWvcf9M6tcP1dng5LiPYLCTVaU6oqoLwUwiI69nr7dwOg+g/p2OuINvGdBMex/ogHW3BUlAV69DUqxP6wHYaN9lgsomXsdjuvv/468+fPx2Kx8Nhjj5GWlkZycnKD/QYNGsS8efMaPGc2m7nzzjvp3bs3VVVVzJs3jwsvvNB57NVXX821117rttfSUk9/fpzyWjtvXjeI0MAgOHEEXZCHssR6OjQh2kUpZdRBO3bI6Drq4ARHH3AkODI93Bv5UBeVowXH/TOozqSGjwFAb9/k0ThEy2RmZpKQkEB8fDx+fn6MHTuWLVtaNrMoKiqK3r17AxAcHExSUhKFhYUdGa5LXBAXwrCEEGxmP6gfGKl3SjeV8BExjqniHTsORxcXGElUYDCk9O7Qa4m28ZkE53SRPw8nOMPqE5zvtxirmwuvVlhYiMVyeu0Yi8XSZJKyf/9+5s6dy3PPPcfx48cbbc/NzeXw4cP07dvX+dynn37KI488wooVKygv956Ceo+PT+a3k1KJDvZDXZgGgJbp4sJHqBijK5mC3A69jnYsrtx3oIy/8VI+0UWl6+qgKN9Yh8TTzeyJKUaSlZcDmXtBmi69WlMDEc+ehderVy9WrFhBUFAQ6enpLF68mGXLljm3V1dXs2TJEu6++25CQoxCX1OmTOHGG28E4N133+XNN99k1qxZja61du1a1q5dC8CiRYuIiYlx2WtrCdv4KeS/+TLs24ElLBQVaCzG6efn5/ZYmiJxiFZzVDPu4BYc5/ibfvIe7618IsGhIBe0BkussR6JBymlUMPHoNesRn//nfTNejmLxUJBQYHzcUFBAVFRUQ32cSQtACNGjOD111+ntLSU8PBwrFYrS5Ys4bLLLmP06NNjriIjI51fT5o0iRdeeKHJ60+ePJnJkyc7H+fn57f3JTXLrjWVtXbMJkWwvwl69YfD+8n/4hNU2qUAxMTEuCWW5kgcjSUmJno6BK+mLHFoQHd4C44MMPZ2vtFF5SXdUw7qIuMPnc7YJFWNvVyfPn3Izs4mNzcXq9XKxo0bSUtLa7BPcXGx8+eYmZmJ3W4nLCwMrTUrV64kKSmJa665psExRUVFzq83b95MSkpKx7+YFnp1yylu/+cB1h0qBnAmNfatX3swKiFcxA0tOLqiDE4eNRZZlvo3XssnWnB0nncMMHbqO9CoapyXA1nHIKmHpyMS52A2m7n33ntZuHAhdrudiRMnkpKSwpo1awCjq2nTpk2sWbMGs9lMQEAAc+bMQSnF3r172bBhA6mpqcydOxc4PR387bff5siRIyiliI2NZcaMGZ58mQ2E1S+4WV5jB0CljUO//xfYuRVdXYUKCvZkeEK0j6U+wSnI67gq3Y7xN737o/w922sgzs0nEhxn1UpPFvk7gzKZUReNQn+zDr39O5QkOF5txIgRjWrUTJkyxfn11KlTmTp1aqPjBg4cyHvvvdfkOR944AHXBulCjgU3y2uNQfAqOhb6DISDe9E7tqAuvtyT4QnRLiow0JgeXlYCxUUQ7fqxU87uKRl/49V8ootKe0GRv7M5Z1NlyHRx4V3C61twSqpPz/JzdFNp6aYSvqCDu6n0fql/0xn4RIJDzknjf29a4HLQMAgIgKOZ6MI8T0cjhJMlxGi4za+scz6nRo4DpWDnNnRVpadCE8IlVH2C0xEDjXV1JRw7CCYT9B7o8vML12lXF9WKFStIT08nIiKCJUuWNNr+73//m6+++gowKsaeOHGC119/ndDQ0PZctgFtrTOWaVAK4rxndoEKDIQhaZC+Eb3lK9SV13s6JCEAiO1mjBnIqzgjwYmyQN9BcGAP+vvNkJLqqfCEaD9HLZyOaME5uA/sdujVX8arebl2teBMmDCBxx9//Jzbr732WhYvXszixYu59dZbGTx4sEuTG8AYf2O3Q3QsKsC71n4yjZkAgN603rOBCHGGmPoWnIIqKzb76Vl+0k0lfIZzoLHrExwt9W86jXa14AwePJjc3JY1AX7zzTeMGzeuPZdr2qkTxv/e1D3lMGSksfjbicPok0dlsLHwCv5mE1FBZoqqbRRVW4kJMVp01Mhx6H/8GXanY68o83CUwlOaa5nXWrNq1SoyMjIIDAxk1qxZ9O7d+7yLz7qbiok3auHkd0AX1cEfjGv0G+TycwvXcssYnJqaGrZv386YMWNcfm5dP/5GJSQ3s6f7KX9/VJqR1OnvvvRsMEKcIaapbqqIKOg/BKxWar77ylOhCQ9rrmU+IyODnJwcli1bxowZM3jttdeA04vPLl26lIULF/Lpp59y4sQJd4XdkKVjuqi03QZHDhgPeg9w6bmF67llmvi2bdsYMGDAebun2lqyvqS4gGogtE9/QlxcSt0V5dlrr7yOog2forZ8jWX6QyhT63NKbyoT702xiLaLCfHnQEE1eRVWBp2xuokadRl6306qvvgILrzYcwEKj2muZX7r1q1cfvnlKKXo378/FRUVFBUVERUV5awCfubis8nJHvjw6UhwivLRNpvr1orKOgY11RATjwqPan5/4VFuSXC++eYbLr300vPu09aS9bYjmQBUhEZS6eJS6q4oz65jEiE6Fnv+KfI3bWhTWW9vKhPvLbFIufr2ie3WeCYV1Cc4771G3a50TLnZqDjvqC0lvEdhYWGDDzmOBWrPXOKkqcVnz9bR67DlRcdgL8wnGhvmmJaVEGnuA1xl+teUAYEDhxLZgR/0vOmDpDfF0lodnuBUVlayZ8+ejit8dsoxRdz7uqgAlMmEGj0e/fE/0Zu+lHVLhFdwzKTKrzgrwQnphhoxDr3pC/Q361A/vcMT4Qkv1twCtU0tPtuUjl6HzR4dC4X5FB7YizIHtOiY5j7A2XekA1Cb1LNDP+h5ywdJ8J5Y2vKhtl1jcF566SXmz59PVlYWM2fO5PPPP2fNmjXOMvdgrMNz0UUXERQU1J5LNUmXl0J5GQQGQ2S0y8/vKmr0BAD0tm+Mlc+F8LCekYGMSgolNbLxzEN16Y8A0BvXGWMOhDiDxWJp8AfvzAVqz7X4rCc4a+G4cByOPrTPOLeMv+kU2tWCM2fOnGb3mTBhAhMmTGjPZc7NUeAvPrHBJwhvo5JSIaUXHD8MO7fCiEs8HZLo4i5M6MaFCd2a3tj/Aszdk7Fln4DdGTA0ren9RJeUlpbGJ598wrhx4zhw4AAhISFERUWdd/FZj3CMw3FRsT9dWQ7Zx8HPD1J6u+ScomN16rWo9CnHDCovnCJ+FjVmAvr4Yewb12GWBEd4MaUUwZOuofztldi//gyzJDhdyksvvcSePXsoKytj5syZ3HzzzVitVsBYo2348OGkp6cze/ZsAgICmDVrFgD79u075+KzHuHq5Rocs6dS+8gCm51Ep05wyK6fghjfGRKciej/ewt2bEUX5KIcny6E8JCSait5FVZ6RAbib27YAho08ceUv/MqfL8ZXVqMCo/0TJDC7ZprmVdKMX369EbPn2/xWU9Qlrj6WjiuSXD0of3GeXv1d8n5RMfr1GtROVpw6N62AcZa6waVXDuSCo9EjRwL2o7e8KlbrinE+Ty65ii//uQIp8prG20zR8fC0JFgs6E3feGB6IRoJ2cLjou6qOrH30j9m86jUyc4jjE4qo0tOM9tOMmv/t8h6mx2V0Z1TmqCUdVTf7XGWENLCA/qERlIr6hAam1NJ/kmx2Djrz5rcuaMEF4tKgaUCUoK2z25Q2sNh2WAcWfTaRMcbbNBXo7xIL7108dsds3mE+VkldVxqKjGxdGdQ99BkNQDykrQGZvcc00hzuGxy5N56ape9I4+xwzHoWnG7MScE7Bnu1tjE6K9lJ8fRMeA1lCY176T5WUbM3bDI08PXhZer/OOwck/BTYrRMegAls/Bb2wyur82uSmCVhKKdSEH6PfWYn+8iMYdZl7LizOa/v27axatQq73c6kSZOYNm1ag+27d+/mxRdfJC7OeGMbPXo0N95443mPLS8vZ+nSpeTl5REbG8tDDz3k+oVmO5jy80NNuAq9+m3saz/EfMFwT4ckROtY4oxZVPmn2vRB2MEx/oZe/b16xq5oqNO24JDTvgHGueVGk+WAmCD6Wdy35L0aM8Go27N/N/rkMbddVzTNbrfz+uuv8/jjj7N06VK++eabJtfPGTRoEIsXL2bx4sXO5OZ8x65evZqhQ4eybNkyhg4dyurVq935slpMa0219dxdtGr8VAgIgF3p6Cy5X0Xn4qyF095VxaX+TafUaROc9i6yeaq+gmtcN/dO91NBIahLJgCg13/k1muLxjIzM0lISCA+Ph4/Pz/Gjh3Lli1b2n3sli1bGD9+PADjx49v8TndaXduJTe/u5+FX557QUQVGo665AoA9Np/uys0IVzDRYtuSoG/zqnTJjinl2hoYwtOfYJjCfFvsKKyO6jxPwZAf/sFurLCrdcWDRUWFmKxWJyPHevqnG3//v3MnTuX5557juPHjzd7bElJibO6a1RUFKWlpR35MtokItBMrU2TV3n++19NvhYAvelLdJn3vQ4hzskFM6l0XS2cOGwMWO557rW1hPfptGNwdH0XVVuL/Dm6qFb/UMgXh0t484Z+LoutOSq5JwwYCvt2otd/gvrxDW67tmiouXV1AHr16sWKFSsICgoiPT2dxYsXs2zZshYd25yOXnDwfLpF2IDDFFRaibZYMJ0Re4MF9mJiKBp5CbXbviV463pCb7rHbTF6y0J/3hKHaB0VU18Lpz3VjI8fBpsNElNRQedeW0t4n06b4JxepqF9XVQAQX4mam12Aszua9AyTb0B+76d6LUfoiddgwpovCaQ6HgWi4WCggLn4zPX1XE4c8HAESNG8Prrr1NaWnreYyMiIigqKiIqKoqioiLCw8ObvH5HLzjYnLBAM2U1Ng6dOEVk8Om3g7MX2NOX/xi2fUvFf/9J1aVT3VbJ1VsW+vOWOKBtiw52Wc7lGto+i0ofOwiA6tHHFREJN+qUXVS6ohzKSozBj1GW5g9ogqMF53+v6cWr1/Vxa3IDwAXDIbU3lBajN65z77WFU58+fcjOziY3Nxer1crGjRtJS2u4NEFxcbGztSYzMxO73U5YWNh5j01LS2P9+vUArF+/nlGjRrn3hbVQTIiR1DTXTcWgi4wSByVFUvhPdB6RFjC1sxbOsUPG/z2ke6qz6ZwtONn1szkSklGm1icmNrsmv/4NvXuoZ9YUUUph+vGN2P/0IvqT/0NfdiXKbPZILF2Z2Wzm3nvvZeHChdjtdiZOnEhKSgpr1qwBjLV3Nm3axJo1azCbzQQEBDBnzhyUUuc8FmDatGksXbqUzz//nJiYGB5++GFPvsxziu3mz+GiGvIq6s47m1AphZp6Pfr1peiP3kdfcoVRZ0QIL6bMZiPJKcyDojyIa33rlz6aaZwrVVpwOptO+Q7lmF6tknq06fj8yjrsGqKD/fCvb7mx2TVmdxXEcRhxiTHN/dRJ9JYNqDET3Xt9ARjdTmcvCDhlyhTn11OnTmXq1KktPhYgLCyMp556yrWBdoBYRwtOhbWZPUFdfDn6v+9Bzkn0t5+jLpvS7DFCeJwl1khwClqf4Oi6Ojh5DJSClJ4dE5/oMJ2yi4qTR43/25jg1No0g2KD6R8TxOYTZdz9rwO8/F22CwNsGWUyo678KQD643+h7e5ZMkIIh5j6MgnNdlFRf79e8zMA9P97V5YbEZ2CY2HjNg00zjpqFJSNT5QBxp1Qp0xwHAXHVGLbEpyUiEAWTenBY5cnE+xvoqjaxslSz7xZq0smGmumZB2DHZs9EoPoumJDjAQnvwUtOABq1KXQPQUK89DfyNgx0QlEt32gsT5aP8A4VcbfdEadLsHRWsPJI8aDpNR2ny8xLACA7LLGKyq7g/Lzd7bi2Fe/g7bbPBKH6JpiuhldVPktaMGB+lacn9wKgP7ovXYvYihEh7PEGv+3pQWnfgYVPXq7Lh7hNp0uwaGs2Fj0LDjEaPlog9JqK1a7MSsmOtiPQLOitMZGea1nkgt1+VRjOuPJo+hvZYaKcJ9YRxdVK4pdqpFjje7hwnz01591VGhCuISzi6oNC26ebsGRAcadUedLcBzrNyWmtnnRs+c3nOSmf+xjd24lSim6e7oVx98fNe12APSHf0PXuml1c9HlRQX5YVJQXG2j5jxrUp1JmUyYHK04/30XXV3ZkSEK0T5tbMHRViucOGI8SJUWnM6o0yU4zvE3bRxgDGCrr2liqS9s5khwsko9k+AAqIvHQ0ovKMpHr/t/HotDdC1mk2JYQjfGpoZRVdeKQe7Dx0DvAUZdnI/e77gAhWiv6PoEpyi/dUMAco6DtQ5iE1AhoR0Tm+hQnS7Bcc6gauMAY4AXr+zJ+z8bQFx9DZzEMOP/7DLPjSdQJhOmG+4GQH/8T3S5rPkj3GPBFSk8ellSg0rGzVEmE6af/Q8A+rMP0Xk5HRWeEO2iAgIhLMJYbqG4qMXHSfdU59fpEpzTM6hS2nUeP5Nyrr3jbMHxUBeVg7pguFExtqpCPhULr6d69TdmAVqt2N//i6fDEeLcHEs2FLaim+qoY4CxzKDqrDpVgmPMoGpfDZymJHpJggNguvFuAPTn/0VnH/dsMKLLKK22sj+/qtXHqevvgsAgyNiE/uH7DohMCBeoH4ejWzFV/PQaVDL+prPqVAkOhflQXQVhEajwyDadYu3BYu75v0ze3Xl64bzu4Z4dZHwmldrHqBBrs2J/e0WTK1YL4UplNTbu/FcmT647hs3euvtNRVpQV90EgP3d19A2KXMgvI9yLrrZshYcbbfB8fo1qKSLqtPqXAlO1ukZVG2VU1ZHYZUV+xmJQ1SQmSA/E+W1dkprPP8GrW74udFnvH+3LMQpOlxYoJnk8AB6RgZR0YZSCepH10FMvFHm4LPVrg9QiPZqbbG/nJNQWwuWOFRoeMfFJTpUuxKcFStWMH36dH7961+fc5/du3czd+5cHn74YRYsWNCey6GzjO6p9sygOlVf7yOu2+lFNo2p4o6Bxl7QitMtDHXzLwDQ/1yFvbTYswEJn/fyNb144coehAe1fnk65R+A6faZQH2Zg5wTrg5PiHZRji6qFo7BcQwwlunhnVu7EpwJEybw+OOPn3N7RUUFr732Go8++ih/+MMf2r+isnP8TdtbcHLL6xOcs1YRHxQbzNB471lrRI0ebww4Li+j7I2XPR2O8HFtrSnlPH7ISNTYSWCtw/7GMqnILbyLpZUtOMeM7iklCU6n1q4EZ/DgwYSGnrs+wNdff83o0aOJiTEqDkdERLTncqdXEW/HFPHc+hac+G4BDZ6/b1QCz05OZUBMcNsDdCGlFKbbfwl+/lR/8RF6z3ZPhyR8nM2uW1XR+Gzq5l9ARDQc3Iv+XGo5CS9yRrG/loxr1PXLAakUSXA6sw4dg5OdnU15eTlPP/00jz76KOvXr2/zubTdBo5ZRW0cg1Nrs1NYZcWkwBLS+qZ4d1PxiahrbgHAvuolqY0jOkxRlZWfvbefhz8+0uaB7apbKKY7ZwGgP3gLnZvlyhCFaDMVEmos71NbYyz10xxHBWMXztYV7tehf+VtNhuHDx/mySefpLa2lvnz59OvXz8SExMb7bt27VrWrl0LwKJFi5ytPg7WrOMU1NViioknNrVtN92xImMabHxYIPFxsY2219ns7MstZ2BcKH5mE35+fo3icDd9xwyK9+2k9ofv8f/Hn4l49Ll2dye0hzd8T4TrRQaZCahfk62gykrj346WURddjBo9Hv3deuyvL8U093mUn/d/mBBdQHSsMcyhMBfCzj1wWJcWQVkJBAWf7toSnVKHvvNYLBbCwsIICgoiKCiIQYMGcfTo0SYTnMmTJzN58mTn4/z8/Abb9W6jxoY9IbnRtpbam1UOQEywuclzzP7vYY4W1/D7qT3oZwkmJiamzddypag5T5E/505qvltP3uq/Y7psisdi8ZbvSVP3kGg7pRS9o4LYcaqSQ4XVDGz7MDfUrTPQ+3fDoX3oD95E3XSv6wIVoq3qFzSmIPf8xfscrTfJPT36YVK0X4d2UaWlpbF3715sNhs1NTVkZmaSlJTUpnPpk44ZVG1/5z1WYixi6Sjsd7Z+liCSwwOoqG3FmjxuYI7rjrqtfpbKP/6Mzjnp4Yh8y/bt23nwwQd54IEHWL169Tn3y8zM5JZbbmHTpk0AZGVlMXfuXOe/n//85/z3v/8F4L333uO+++5zbktPT3fHS2mXXlGBABwqat9ir6pbGKYZc8FsRq9Zjd7+nSvCE6JdVAuL/ekT7Z+tK7xDu1pwXnrpJfbs2UNZWRkzZ87k5ptvxmq1AjBlyhSSk5MZNmwYjzzyCCaTiSuuuILU1LYlKPr4YeOLpJ5tjndffjUA/WOCmtw+6+IEzCbvzNhNYyZg37XNaPp/9UVMj76ICgz0dFidnt1u5/XXX2f+/PlYLBYee+wx0tLSSE5ObrTfO++8w7Bhw5zPJSYmsnjxYuf2++67j4svvti5/eqrr+baa691y+twhd7Rxu/F4aLqdp9L9R2E+uldRpmDVS9hevIlVEx8u88rRJu1tNjfGS04onNrV4IzZ86cZve59tprXfMmf7z90/b21ZeiP9dMKW9NbhzUbTPRh/fD8cPovy6D/3lEmlDbKTMzk4SEBOLjjT++Y8eOZcuWLY0SnI8//pjRo0dz8ODBJs+zc+dOEhISiI1t6+gVz+sdZSQ4hwrb14LjoKZMQx/YDd9vxv6nFzH95nmUf9Otp8J7rFixgvT0dCIiIliyZEmj7VprVq1aRUZGBoGBgcyaNYvevXu36FiPqi/2pwubacFxzKCSBKfT6xSj/3RVJeTlgJ8/xLetiyu/so6CSivd/E0khZ//TTavoo5gfxPeNpRWhXTD9Kv52J97BL3lK0jqgbr6Zk+H1akVFhZisVicjy0WCwcOHGi0z+bNm1mwYAGvvPJKk+f55ptvGDduXIPnPv30UzZs2EDv3r256667miyp0NzgeneKjNYEmI+SW1FHpVW7JBb7r39Hwa/vxn7kAP5/W0nEQ0+jTC3vGfeWQe3eEoc7TJgwgalTp7J8+fImt2dkZJCTk8OyZcs4cOAAr732Gs8991yLjvUkZYlFw3lr4WibFbIcs3Wli6qz6xQJDs7uqR5tnpFRVWdnWPduhPibnKuIN2X5d9msySzhgTEJ9Ez0viZ11T0F0/RHsC9/Fv3hO+jknqiLLm7+QNGkpqZEn90q9sYbb3D77bdjOscfZqvVyrZt27jtttucz02ZMoUbb7wRgHfffZc333yTWbNmNTq2ucH17tYjMoADBdX8kF1Cj2Cra076y8fghXnUfL2WvIhoTNPuaPGh3jKo3VvigI4fYD948GByc8/djbN161Yuv/xylFL079+fiooKioqKiIqKavZYj2rBiuK2rBNgrTOWaAjp5qbAREfpFAmOY/xNe7qnUiIC+e0VKc3ulxxujGv5Ia/1Kyu7i7poFGraHegP3sL+5yVG079U3GwTi8VCQUGB83FBQQFRUVEN9jl48CB//OMfASgtLSUjIwOTyeQcb5ORkUGvXr2IjIx0HnPm15MmTeKFF17ouBfhQr2jgjhQUM2+3HJ69Gh6rFprqZRemO77DfaXn0H/9z3ssQmYxk1u/kDhlQoLCxu0ZlksFgoLCxv93jTH3a2XOjqaXP8AKC/DEtoNFdR4qELttzsBCOjdnygPtth5U4uhN8XSWp0iweF4/biHlF4dfqnBccZNvye3ssOv1R7qxzcaixtu3oD9pQWYfrMIldC27ruurE+fPmRnZ5Obm0t0dDQbN25k9uzZDfY5s7l9+fLljBw5ssFg4qa6pxyfaAE2b95MSkrzybU3GBwXzKeZxWw6UsSUHt1ddl41dKQxffydlei3lqOjLKjBw112fuE+LWn1bAmPtF5GxUBuFvn7f0A1UTA26NB+AOpiu3u0xc6bWgy9JZa2tFx2igTH2YLTxgTHatccLKymd1Qg/ubz9//3igoi0KzIKqujsMLzC2+ei1IK7n4QXV4GezKwL30S06MvoKI77yBXTzCbzdx7770sXLgQu93OxIkTSUlJYc2aNYDR1XQ+NTU17NixgxkzZjR4/u233+bIkSMopYiNjW203VuNTAzFpGD7yRLKa+IIDTS77NymCVdhz8tBr1mNfflCTLMXoAYMddn5hXtYLJYGf/CaavX0WpZYyM2CwrwmK+LXORbZlAHGPsHrExxtrYOTx0CpNt90R4tr+M2nR0mJCODla87fleNnUgyICWbHqUp2ZJcyJLJNl3QL5e+PadZj2Jc+BQf3Yl/6lFE5NjzS06F1KiNGjGDEiBENnjtXYnP//fc3eBwYGMhf/vKXRvs98MADrgvQjcICzVwQF8LOU5VsyypnfK/2rR93NnXD3VBRjv5mLfb/fQbTg0+j+g126TVEx0pLS+OTTz5h3LhxHDhwgJCQkE6T4KjoGDSgC/Npqs3JeiTT2E8SHJ/QoYX+XCL7BNisENsdFdS21b4ram2kRgTQz9KyMQWObqodWd6/9pMKDML0wFNG8pdzEvuS+ejigmaPE+JcftwvkhmX9GBgrOsXnlUmE+qu+1GXTISaaux//C364F6XX0e03UsvvcT8+fPJyspi5syZfP7556xZs8bZqjl8+HDi4uKYPXs2f/rTn5g+ffp5j/UqjhbuJqaK68oK7I7ZunFSKd0XeH8LjqP+TTvG31yY0I3/vaY39hYuIjgoNgQoYEdWKbcNPveaJd5CdQvFNOe32JfMh6xj2F98DNNDv0PFJng6NNEJjesR3qH97spkhrtng82O3rwe+9IFmGY9hho8rEOuJ1qnufpmSqkGSU1rjvW4qPrBsk3VwskyKhiTmIIyu65rVniO97fgHDMSHFwwS+h808PPNCAmGD8T7Mstp7DKRVNlO5iKiMI093ljjZW8HOwvzkNnHfN0WEI0SZnMqHvnoC4eDzVV2Jf9DvumLz0dlvBxzuUaChsn77q+grFqR7V84V28PsE5PcC4bQlOjdVOXkVdkyP/zyXY30RaUih2DV8eKmnTdT1BhYVj+vWz0H8IFBdif/Ex9N4dng5LdEJ55TW8uzOfD/Z0XHenMptRv3gINWUa2Kzo1/+A/dMPWvW7KkSrnKeLivr1DkmWAn++wqsTHK316SJ/bWzB2XWqkumrD/L8htYtUDmptzG4ct2hkk71hquCQzA9uAAuuhgqyrC/tAD7lx95OizRyRRU1PG3Hfn8Z29Rh97/ymTCdNO9zhXH9T9XGdPI67x3BqPoxKLqE5yifLS94aLKzhYcGWDsM7w6wSH/FFRVQHgkKqJto/T3FRgF+7qfYwXxcxmZGEp0iD8nSmvZX9D+xQfdSQUEGmMarrwebDb0Oyuxv70Cbe0c3W3C8wbEdeMnA6OYeXE8djfk96Yp01Az5oJ/APqrNdhfmNfsqs9CtJYKDITQMLBaoex067zW+nQLjnRR+QzvTnAcrTftGGDsqEg84BwriJ+L2aS4cqBR2nv9Ee+fTXU2ZTJjuvFu1L0PgZ8/ev0nxric3GxPhyY6AaUU00fGc3FymNsWoTWNugzTvBcgJh6OZmJ/dg41279zy7VFF9JUN1VRAVRVosIi2vxhWngfr05wdDtXEC+orGPXqUr8TDAkrvVTzKcNTeA3lyZyz/DOWzzPdMlETHOfg+gYOLwf++/mYP/2C0+HJUSTVGofTPP/AENGQnkZxb99CPs//oyucc0K50I0meDkGAts+qX0dH88osN4eYLjaMFpW4LzxaFS7BpGJYURHtT6GfHJkcGM6xHebPVjb6d6D8D01DIYORZqqtB/WYr91cXo0mJPhya83A95lTy57hjbTpa77ZqqWximB55ETbsDzGb0uv9gf3YO+vB+t8UgfJej2vuZXaC6fgVxPxl/41O8+y/3sbbXwNFas/ZQMQCT+7S/GmuN1d78Tl5MdQvFdN+jqJ8/AAGB6C1fYX/qfuzfrO1Ug6iFe+3Nq2JHTiXv7sp3632iTCZMV99M9AuvQfcUo4jlot9gf/c1dJV3rxMnvFx0fS2cojOmimefACTB8TVem+DoinLjBgwMgrjWL/q3J7eK7LI6LMF+DO/evmXvV3yXw13/yiS3vK5d5/E0pRSmS3+EacEyGDwMKsrQbywzqh87BtgJcYap/aIIDzSzL7+a73Pcn1j49xmA6cmlxlRyDXrtv7E/+Uvs362XxFy0jaMF54wuKp1t1Awzu2FBZ+E+XpvgqG6hmJb9w1gl29T6qpKfHSwGYGLviHYPkqyqs1Nrs7Mvv6pd5/EWKq47pjm/Rf3iIQgNh307sf/2Qex//V9Z5kE0EOxv4rpB0QD8Y6d7W3EclH8AppvuxTR/CfQZCCVF6NeWGIPm9+92ezyic3MuSHzmLD1pwfFJXpvggFHTpS0DjCvrbHxzrAxwTffUzy6MYcnUnlzW0/uXbWgppRSmMRMxPbMCNfFqMCn0159hf2Im9g/eQpd1vpljomNc1T+SsAATP+RVsfOU57qHVGof4wPP3bMhLAIyf8C++DFsy36HdlQ8F6I5Zw0y1mUlUF4KQcGYLJ13QolozKsTnLb66kgZtTbNkPiQVte/aUpSeAC9o1s3zbyzUKHhmG67D9PTL8PwMVBbg/7ofeyPTcf+/ip0SZGnQxQeFuJv5tr6Vpx3d3bM+lQtpUwmTOMmY1r4J9RPboXAYNi5Ffszc4xEZ/9u6boS5xcRCWYzlJUYBSXrBxjTPQXVwuV8ROfgkwnO2vruqcm92996c7YtJ8rZ0Anr4jRHJSRhnvU4pkdfMKbo1lSj13yAfd507Kv+iD6a6ekQhQdd3T+KbgEmduVWuXVG1bmo4BBM196K6flXUZOvhYAAI9FZ/Bj2Fx7FvuVrtLVzj5kTHUOZzBBpMR4U5aOzjQRHdU/xYFSiI3j9auKtVWO1U1pjI8TfxNjUMJeee09uJc+uP0FogImLEkKIaMPUc2+n+g7C/OAC9NFM7P99D7Z/h964Dr1xHfQZSNXVN6H7D0UF+maLlmhatwAzNw628Nftebz0bTZ/+HFPYrv5ezosozDbLdPRV92E/vz/oT//Lxzciz64Fx0eibr0R6jLpqBi4j0dqvAm0TFQkGuMw6lPcEiUBMfX+Nxf6EA/E0uv6snOU5UE+rm2gWpQbDDDundje3YFr23N5eFx3X22SVP16It51uPo3Cz0Fx+jv1kLB/dSuuwZCAxCjRiLGnsF9L+gTYPAvcn27dtZtWoVdrudSZMmMW3atCb3y8zM5IknnuChhx5izJgxANx///0EBQVhMpkwm80sWrQIgPLycpYuXUpeXh6xsbE89NBDhIaGuusldYjrBkWz81Ql6dkVLNpwkuenpBLgJTWiVFgE6rrb0VdebyTk6z+BrGPoj95Hf/S+cZ+OnoAaOQ7VrXP/HET7qehYNMaq4s4WnARJcHyNzyU4YIwZGJ3s2tYbMAbm3pcWz4MfHWbD0VKigs3cMyLOZ5McABWXiLrlF+hpt6O/W4/flg3U7d2J/vZz9LefQ1gEavglqJFjof8QlF/nuqXsdjuvv/468+fPx2Kx8Nhjj5GWlkZycnKj/d555x2GDRvW6BwLFiwgPLzhAPTVq1czdOhQpk2bxurVq1m9ejV33HFHR76UDmc2KR4el8jDHx8hs7CaV7ec4ldjWl/CoSOpoGDUFdegJ14NmT+gv/wYnfEt7N9tjM/5+59g0DDUsNGoYRejwqUsf5fkqIVTKC04vsw7Pn65wPbsClZuzqG6gwvyJYYH8OhlSfiZ4MO9Rfxth2cHXbqLCgzCdPmVRD//J0zPvIK66maITTAG6m34BPvSp7A/fAe2V57H/tUadGHn+L5kZmaSkJBAfHw8fn5+jB07li1btjTa7+OPP2b06NGNEplz2bJlC+PHjwdg/PjxTZ6zMwoLNPPY5UkEmBWfHSxh84kyT4fUJKUUqt9gTP/za0xL3kTd86BR+8lmh51b0W8tx/7I3dgW/Qb7v/9udGnZbJ4OW7iLoxbOySNQXGiM4ZIZVD6nc33cPgebXfPK5hxyyutICg/gJwOjO/R6aUmhPDIuiRe/Psl7uwoINJu4cYilQ6/pTVRCEuqnd6Cn3Q7HD6PTN6LTvzU+CaV/i07/Fg0Q1x01YCgMGIrqOwiiY72utauwsBCL5fTPzmKxcODAgUb7bN68mQULFvDKK680OsfChQsB+NGPfsTkyZMBKCkpISrKaB2IioqitNR3Bqb3jg7ilxcncKKkhpGJ3t/do4JDUGMnwdhJ6NJi9Peb0Rmb4Iftp8fr/OfvENIN+l2A6ncBqv8FkNK707VIipZxdFHxww7jifikTt/VLhpr12/vihUrSE9PJyIigiVLljTavnv3bl588UXi4oxVuUePHs2NN97Ynks2yWxSzLs8iX/vLeKq/u5pcr4kNYwHL+nOSxuzeev7PI6W1PA/afGEB3adXxKlFKT2NmoVTbsDnX8KvWsbelc67NsJudnG6uVfrTHeTCKioPcAVK/+qNQ+xrFhrp/p1hpNTSk+Owl74403uP322zGZGjd4PvPMM0RHR1NSUsKzzz5LYmIigwcPbvH1165dy9q1awFYtGgRMTExrXwFHcPPz++8sdx81raskmpCA82EB7l24HFzcbRaTAz07gs/vQ17VQW1O9OpzfiO2u3fYcs5Cd9vNhIggIBA/HsPwL/fIGoHDiWyRx/MCckoc9f5HfdZjlo4lcaMQNU91YPBiI7SrgRnwoQJTJ06leXLl59zn0GDBjFv3rz2XOacCirrsIQYb6i9ooJ48BL3jgeY0CsCrWHF5hw2HCnl+5wK7hsVz7hU3ykI2BoqJh414SqYcJXR3H/sIHrfTqPa7KF9UFIEGZvQGZtwphVRMZDUA5WUCok9jKma8YmokPYtr9FSFouFgoLT1ZsLCgqcLS8OBw8e5I9//CMApaWlZGRkYDKZuPjii4mONloLIyIiGDVqFJmZmQwePJiIiAiKioqIioqiqKjonF1bkydPdrb6AOTne0fXXkxMTItjqayzMfeTo9TZNc9MSiE+tP21p9oSR5v0HmT8u+FuTPmn0Af2wAFjvA6nTlK3dwd1e3dQ+Z93jf0DAiG5Jyqph1E3pXuKsVZWlAXVRALcERITE91yHZ8WfVZ3lIy/8UntSnAGDx5Mbm6uq2JpMa01m46X89K32dw9PJYfu6nVpikTe0cwMDaYlzdlsyu3ihe/yuKyHmU8cmmSx2LyBspshl79Ub36w9QbjJaSUyfRB/fB0Uz0sYNw4oix3lhRPnrXNoDTiU94JMQlomLjISYBYhNQ3ZNRPfu5NM4+ffqQnZ1Nbm4u0dHRbNy4kdmzZzfY58wEfvny5YwcOZKLL76Y6upqtNYEBwdTXV3Njh07nC2UaWlprF+/nmnTprF+/XpGjRrl0ri9SVWdnUA/hb1OExNyugVHa+11XZLno2Lijenkl0wEQFeUweED6MP78c8+Ru3Bfcag1EP70If2Gfs4DvYPMNbMi+tunCMmHmWJN8Z1RMdAcLdO9b3wdSqkGwQFQ7Wx/I7qntzMEaIz6vAO5v379zN37lyioqK48847SUlpOlNuSVO9XWu+OljA29uy2JNjDG48UmbHYrF0yJtHS5vHY2LglZ7d+XBnDiu+OULv+EjncXnlNeSU1jAoPhS/Nk6pdXkzfTu0K5bYWBgyzPlQ22zYck5gPXYY67FDWI8fxnbyKNas41BaDKXF6Mw9p6898EKin1/ZvhdwFrPZzL333svChQux2+1MnDiRlJQU1qxZA8CUKVPOeWxJSQm///3vAbDZbFx66aXOWVbTpk1j6dKlfP7558TExPDwww+7NG5vYgnx54UpPcmrqHOu+5ZdVsuTa48xJjWMsSlhDIgJbveacO6muoXBkBGoISOIqm9J0hVlxrizrGOQfRydddwYe1ZWAiePwsmjzqSnQednYDBEWSAyGhURBRHRRkXdsEijmzY8ArqFQ2gYBARKMuQO0bGQZSyyiXRR+SSl21nXPDc3lxdeeKHJMTiVlZWYTCaCgoJIT0/njTfeYNmyZS06b1ZWFmAkNQcLq9mWVcFXR0o5UVoLGLM5bh5i4ScDojrszaAtzeMVtTa0htD6sTirfyhgVXoeU/pGcP9oowutrMZGcbWV7mEB+LXgTb/Dm+lbwR2xaLsdigogNwudfwryT0FeDiQkY7r2VsB3m+kd972ntffn/J+9hby27XTrbliAiT6WYPpFB9HXEkRieADx3fybrVXlLfd+c3Hoqkrjfs3NNu7X/FPGvVuYB4X5UFvT8ov5B0C3UAip/9ctFNNPfobq0ReQe99VbH/8LezaBmYzppffR9V/eOsM95s7eUssbbnvO7QFJyQkxPn1iBEjeP311yktLW3RVNv/21NAZkE1O09VUlpzevpmbIgf0wZHM7lPJEEuLuTnCt0CGg5ADDSbSAoP4IK409+LLSfL+eO32SggMshMdIg/0cF+hAWaCQ0wERZgJtjfRJCfiUA/E3Glili/0+ONiqutFFdZiQjyIyrY+BHW2uyUVNswqfopsoBSGP9jPDj9tRFHgFk5C7XZ7Joamx2zUs4/Olprqq0N89+qOtt5p+IraHB8jc04/syfVY3VTrNZdYTF+NdvaKPjhfe7ekAU/SzBfHu8jI3HysitqGN7dgXbsysa7BcVZCammz/hgWZuuzCWvhajQva+/CqOl9QwWoXgqGhVUm0lp7wOs1L4mYzJBSalMCswKYVSNLr/g+t/hwDqbHZqrBp/8+l73HHfN0Vx+sNHZa2NqjpjP7MJ5++NXWtqbRrlH0Rgj77OJOTM3xGtNVRVGEl7STG6tAhKi6C0BMpK0WXFqPJSAsuKjEUf62qpLi2D0jIC7XVGFD+6rj0/DtEE50yquESZLeejOvSnWlxcTEREBEopMjMzsdvthIW1rADfXzPOWMq+ooheQbXcesUIBkeZuefnd/HGWfvfdNNN3HLLLRQWFjJjxoxG57vzzju57rrrOHnyJA8++GCj7TNmzGDKlClkZmY6B0X7+/tTV2esZzN79mwuv/xydu3axdNPP93o+EcffZRRo0axZcsWXnjhhUbbLQueBiLYsGEDL6/+GgZORIdEUFQNRdU2Dp73u5HFzwcGcf3Innz44Ye88e0h7EN/jCnzG8w7Pwbg4edf5oXNxec9y9lMB77GvOsTAJ56+a88ue440dYiyv5jtMZpvwCsP3mqVecMq86j+uM/Njhe2WpZfdeFxnWeeorvk6ZAaMu7uUz2Oj64c2ir4hCeZVKKgbHBDIwN5u7hseRXWsksqOZAQRUHi2o4VV5LbnkdRdU2iqqNDzA3XHB6uv7XR0v5994i8A9mcmogABnZFSzdmN2qOO4dEcd19QuFfn20jJe+zWZCz3AeGmd8GjxZVssD/+9wq87Z4PjSWn71/w6THB7A8p/0du5z5z8PUGtrKo0Prv9X/2k0xPiX3M84XmsNtTXc/X9HqLXDu8OtBNaUQ1KPVsUoWsBR7E8GGPusdiU4L730Env27KGsrIyZM2dy8803Y7VaAWPswqZNm1izZg1ms5mAgADmzJnT4u4k06HvUMUnUQXHoDyfYddcw+jk8VRVVbUnZI8582WbjqVjOpaOViYIDEUHh3Pn/8wiNDqO9F0/sCl9B/gFov0CwOyP8g8kethFp89VWwklOVB1uraK2QSWYD8qq6qoqq4G1OmLKkW3bqGgoLam1kjalAK79fTxShHkZ8J8duuMtQZQBAUFojVYrVZsZxdEU4rAAGPmjEmffXwt6ozrAGCrA2vtGYcrAuqPr62tbTR124QUYOvMlFLEdvMntps/l5yxPpzNrimsslJYZaW42kqPiEDntn6WYK7obaeXJQTqf/6hAWb6WYKw2TVWu8auwabr/7dro/S+NlpVNICGQL/Tv3h+JkU3fxMBZzxnwmjlqd/9DA0fKaWc96Wf+fTxCgg0KwLMDd/XAv1MKFpedNRxvFIKAoMI9DejrHZU/8Eoab3sEGroSPQ3azFdfLmnQxEdpN1jcDqKN4xF8Ja+R2+JA7wnFhmH0LG85ecscTQm937H8Zafs7fEAd4TS1vue/loIIQQQgifIwmOEEIIIXyOJDhCCCGE8DmS4AghhBDC58jkfyGEEE7NLaKstWbVqlVkZGQQGBjIrFmz6N3bmCK/fft2Vq1ahd1uZ9KkSUybNs3N0QtxmrTgCCGEcJowYQKPP/74ObdnZGSQk5PDsmXLmDFjBq+99hoAdrud119/nccff5ylS5fyzTffcOLECXeFLUQjkuAIIYRwGjx4MKGhoefcvnXrVi6//HKUUvTv35+KigqKiorIzMwkISGB+Ph4/Pz8GDt2LFu2bHFj5EI0JF1UQgghWqywsLDBgrsWi4XCwkIKCwuxWCwNnj9w4MA5z9OSBZbdzVsWNvaWOMC7Ymktr01wvKWYlcTRmDfF4mu86XvrLbFIHN6lqdqwZ1Z6Pvv5c5k8eTKTJ092PnZUM/c0iaMxb4qlNbyyi8qxFpSnSRyNeUss3hKHK3nTa/KWWCSOxjwdi8ViaVDZtqCggKioKCwWCwUFBY2ebwlPvyYHiaMxb4mlLXF4ZYIjhBDCO6WlpbFhwwa01uzfv5+QkBCioqLo06cP2dnZ5ObmYrVa2bhxI2lpaZ4OV3RhXttFJYQQwv2aW0R5+PDhpKenM3v2bAICApg1axYAZrOZe++9l4ULF2K325k4cSIpKbJSt/Acr0xwzuyX9SSJozFvicVb4nAlb3pN3hKLxNFYR8cyZ86c825XSjF9+vQmt40YMYIRI0a0+pre8v2VOBrzlljaEofXriYuhBBCCNFWMgZHCCGEED7Hq7qoPFnmu6ny5OXl5SxdupS8vDxiY2N56KGHzlsAyxXy8/NZvnw5xcXFKKWYPHkyV111ldtjqa2tZcGCBVitVmw2G2PGjOHmm2/2yPcEjCqp8+bNIzo6mnnz5nksjo7iqXtf7vvG5N53H3nP95573yfve+0lbDab/tWvfqVzcnJ0XV2dfuSRR/Tx48fddv3du3frgwcP6ocfftj53FtvvaU/+OADrbXWH3zwgX7rrbc6PI7CwkJ98OBBrbXWlZWVevbs2fr48eNuj8Vut+uqqiqttdZ1dXX6scce0/v27fPI90Rrrf/zn//ol156ST///PNaa8/8bDqKJ+99ue8bk3vfPeQ93+At974v3vde00Xl6TLfTZUn37JlC+PHjwdg/PjxboknKirKuXBdcHAwSUlJFBYWuj0WpRRBQUEA2Gw2bDYbSimPfE8KCgpIT09n0qRJzuc8EUdH8eS9L/d9Y3Lvu4e85xu85d73xfvea7qoWlvm2x1KSkqchaqioqIoLS116/Vzc3M5fPgwffv29UgsdrudRx99lJycHK688kr69evnkTjeeOMN7rjjDqqqqpzPefpn40redu97+nvr6fse5N53B2+778Hz31tP3/u+dt97TQuObmWZb19XXV3NkiVLuPvuuwkJCfFIDCaTicWLF7Ny5UoOHjzIsWPH3B7Dtm3biIiIcH7C8UVy75/mDfc9yL3vDnLfN+QN976v3fde04LTnjLfHSUiIoKioiKioqIoKioiPDzcLde1Wq0sWbKEyy67jNGjR3s0FoBu3boxePBgtm/f7vY49u3bx9atW8nIyKC2tpaqqiqWLVvm0e+Hq3nbvS/3/Wly73ccb7vvQe59B1+5772mBccby3ynpaWxfv16ANavX8+oUaM6/Jpaa1auXElSUhLXXHONx2IpLS2loqICMEbX79y5k6SkJLfHcdttt7Fy5UqWL1/OnDlzGDJkCLNnz/bIz6ajeNu935Xve5B731287b6Hrn3v++J971WF/tLT0/nrX//qLPN9/fXXu+3aZ5Ynj4iI4Oabb2bUqFEsXbqU/Px8YmJiePjhhzt8etzevXt56qmnSE1NdTbX3nrrrfTr18+tsRw9epTly5djt9vRWnPJJZdw4403UlZW5vbvicPu3bv5z3/+w7x58zwaR0fw1L0v931jcu+7j7zne8+974v3vVclOEIIIYQQruA1XVRCCCGEEK4iCY4QQgghfI4kOEIIIYTwOZLgCCGEEMLnSIIjhBBCCJ8jCY4QQgghfI4kOEIIIYTwOZLgCCGEEMLnSIIjhBBCCJ8jCY4QQgghfI4kOEIIIYTwOZLgCCGEEMLnSIIjhBBCCJ8jCY4QQgghfI4kOEIIIYTwOZLgeLHx48cze/ZsnnzySZKSkoiIiODOO++kpqbG06EJ0WGqqqqYMWMGERERREVFMWvWLB577DH69u3r6dCEcLm1a9cSGBhIZWUlANXV1QQFBXHppZc69/niiy/w8/OjtLTUU2F2SpLgeCmtNd9//z3/+te/iI+P58svv2TlypW8/fbbfPLJJ54OT4gO8+ijj/Lhhx/y1ltvsWnTJiIiIlixYoWnwxKiQ4wbNw6lFF999RUA33zzDWFhYWzevJny8nIAPv/8c9LS0ggPD/dkqJ2OJDhe6tChQ5SUlPDUU0/xq1/9in79+nHrrbcSExNDQUGBp8MTokNUVFTwpz/9ieeee45rr72WAQMG8PzzzzNo0CBPhyZEhwgODmbMmDGsW7cOMJKZa6+9lr59+7Jhwwbnc1dccYUnw+yUJMHxUhkZGQQEBHD77bc7n6upqaG4uJjExEQPRiZEx8nMzKS2tpYxY8Y0eP6SSy7xUERCdLwrrriCzz//HDCSmUmTJjFx4kQ+//xzysvL2bJliyQ4bSAJjpfKyMhg6NChhIaGOp/buXMnVquV4cOHezAyITqeUsrTIQjhNldccQUZGRkcO3aMbdu2ccUVV3DFFVewbt06vvrqK0wmE+PGjfN0mJ2OJDheKiMjgxEjRjR4Lj09ne7duxMfH++hqIToWH379iUgIIBvv/22wfObNm3yUERCdLzRo0cTHBzM7373O/r160dCQgITJ05k586dvP/++4wZ8//bO/PwqKq78X/OzGTfM5MFQlgCyK6AARVFpGBq3RqrpXXrS3n9KbUWi9YKSpVXi0XBYmmxSqVYtb4v1las1iqlUKCgJWyyCoQlLAnZV7LO3PP7485MEhJIMpnM3Jmcz/PwZObee+793pnDme/9rlcTERHhbzEDDqXgGJTdu3dz5ZVXttq2a9euNkqPQhFMREVF8dBDD7FgwQI+/vhjjhw5wtNPP82hQ4eUVUcRtISEhHDdddfxhz/8we2KSkxMZMyYMbz99tvKPeUhSsExIIWFhZw7d65dC45ScBTBzosvvshtt93GPffcw8SJEykvL2fmzJmEh4f7WzSFoseYNm0adru9lTLzta99rc02RecRUkrpbyEUHWO324mJieF///d/yc7O9rc4CoVP+drXvkZCQgJ//vOf/S2KQqEIECz+FkDROQ4ePEh9fb2y4CiCnn379rFr1y6uueYaGhsbefvtt9m4cSOffPKJv0VTKBQBhFJwAoTdu3djtVrp37+/v0VRKHoUIQS//e1vmTNnDpqmMXz4cD744AO+8Y1v+Fs0hUIRQCgXlUKhUCgUiqBDBRkrFAqFQqEIOpSCo1AoFAqFIuhQCo5CoVAoFIqgw7BBxvn5+f4WAZvNRklJib/FMIwcYBxZgrUflxHmPRjne1ZytEXN/Z7DKN+zUeQA48jiybxXFhyFQqFQKBRBh1JwFAqFQqFQBB1KwVEoFAqFQhF0KAVHoVAoFApF0GHYIGOFwlfs2bOH1atXo2ka06ZNu2ivr9zcXJ5++mnmzp3L1VdffcmxNTU1LFu2jOLiYpKSkpg7dy7R0dE+uiOFQqFQKAuOolejaRqrVq3iqaeeYtmyZWzdupUzZ860e9wf//hHxo4d26mxa9euZcyYMSxfvpwxY8awdu1aH92RQqFQKEBZcIIWKSWaBAlICRKJqymHBEwCQs26fqtJSb1dAyAyxOw+R22TA+2CRh5hDXZqGh3tXlMAUaHN4883OpBAZIgJkxAA1DVpOLrYHaTleG+Tm5tLamoqKSkpAEyaNImcnBz69evX6ri///3vXHXVVRw7dqxTY3Nycli4cCEAU6ZMYeHChdx33309cg/dRdM06mtqiLA0z4dKk4XqiqpOn8NsotX42iaJEBAV0vwMVduktZlPl0IISIwIQ9bWtBofESIwO+dDvV3DOXU7TXvjwyyCEJO+rdEhaXS0FjSkg8+jvfEhZkGYWd9m1yT19q7N+5bjCQ1HWNRy3V2klCA1hMnc8cGKgMew/2PueP4PiKJcRPFxhL2BW2+9lZkzZ1JXV8f999/f5vhvf/vbfOc736GsrIwHH3ywzf7777+fb37zm5w9e5ZHH320zf4HH3yQrKwscnNzmTdvHgAhISE0NTUBMGfOHK6//nr279/v/uFqyZNPPsmECRPIycnhxRdfbLN/4cKFjB49ms2bN7N8+XL3dgkQFs3snzxNtC2Vz3ftY0vObgiJQIaEQ0gYIee+4pXHZpKWlsarf/4Hn5VGIYpPYNn9gX6O8BhMtzyJBjg0iaRjZUAUfIXli3f08WHR2G+eR0K4mauL/8n69esBaLrppxARe8HIoxc9Z0K4mWFH3mfnzp2txvfduZrf/lL/TB78/UaqotM6lK8lI3M/4BfPzu/SmM5SVlaG1Wp1v7darRw9erTNMdu3b+fZZ5/lt7/9bafGVlZWkpCQAEBCQgJVVZ1XFnzN83/4F/bz53n2y98hgBpLBN+67n+6dI7Ly4+y8MvfgXP89677H6Kaanl760L3MXOvepLCCOtFztAWfXyzUuga/+oXi0mtLwNg+ch72ZZ8RZdkbW/84wfe4drivQD8Nf0G3hl88wWjLl2jpb3x2ac28r3jfwdgX8IQ/ueKtuvSpWg53vTY8zCia/epaItc9Uvk0QOY/uc3iPBIf4uj6GEMq+BoGVdBxlXgaEIUHKJQhODoyuOfQalxmHAMugqZmI6MTYYoK4SE8ZuDDuAskAgjprUao9WUNr9GQFQiVBc3HyAlje6n2BbKjdR08w0Si8WCQOBwONAcdtDsra4RYTERHnKBx9LeAE31AERF6otBQ2MjdqfS576iSRAZEUlEiLnt+Ma6VuqWSbNDY12rw0xmExHhEQDU1dehOS58JO+57729XrPiAmvRm2++yb333ovJ1Prz6czYjli/fr1boVy8eDE2m61L473BQbOV+oS+NEQnEKE1YTKHEWmv79I5wtAQkXqMkWt8pNbo3gYQoTV16byRWiMiKtr99bvGm8IjEaZG/bpCdlnW9sZbQkPcsoZazF0+Z3vjQ80m9zZLaNc/05bj4xISCfXD3Ag25IFdUFMNp0/C0JH+FkfRwxi2m/iyz/ayp+A8h4rr3D9v1ggL373cxvTBcT3msmiJNyo4Njkk1Y0OEiN0XXJ/YS1Prz/V6pioUBN9okNJiLAQH24mPtxCTJiZqFATESEmxg5MJUqrBXSTenmdnYgQE/Hh+jk1KWlySEwCTEJgEl3/oe0sgVzVsj2OHDnCn/70J55++mkAPvhAt4rdcccd7mN++MMful9XVVURFhbGgw8+SHx8/EXHPvrooyxcuJCEhATKy8tZuHAhv/rVrzqUxx/VXPc++Rh2CZc//wssYWGAcb5nJUdbVCVjz5BNTWgP3wmAmPkopmuntTnGKN+zUeQA48jiybw3rAXnO2NsfGeMjeLzTWw8UcmG45UUVDex4j/n+OexSn4wMYWBCeH+FvOSfH6qmt/8p4CRyZE8PUWP6RhiDeeGQbEMt0WQkRhO35hQYsIu7Q+2JUZSUqIrOOEWE31iQlvtNwlBmKXnFb5gZPDgwRQUFFBUVERiYiLbtm1jzpw5rY5ZsWJFq9dXXnklEydOxOFwXHRsZmYmmzZtIjs7m02bNjFhwgSf3ldXGFV+HKSGScV4KIKZqvLm18UF/pND4TMMv6IlRYUwY7SNb4+ysiWvmt/vLOSrkjrm/v0k3x5t5e4xth6zVnSXYUkRNDkkZbV2HJrEbBKEW0zMnRScT2DeRDY0QH4e8mwenD2FzM9D9BuE6dvf9+p1zGYzs2bNYtGiRWiaxtSpU0lPT2fdunUAZGVldXksQHZ2NsuWLWPDhg3YbDYee+wxr8rtLaSm6a5MAJNKqlQEMRVlza+LlILTGzC8guNCCMH1A2O5sm8Uf9xbwt+PlLNmXymJERZuGprgb/EAOFpax7tflrDghn6YTYLECAuvf3MwCREB8zH7BWlvgtMnkMe+grxjyFPHoOBM8w+v67jzNT1y/fHjxzN+/PhW2y6m2LR0V11sLEBMTAzPPPOM94TsIRx2O28OvpUQ6eC/DPqgoFB4hRYKjlQKTq8g4H55o0LNPJiZwujkCP5+pILrB16Y5eMfPj9dzS+35tPokGw9Ve2WSyk3bZEN9ZB7CHl4L/LIAcg7BvbWgcuYTNB3ACJtAPTtr/9NG+AfgYMYu93BR+nXE+po4r/8LYxC0YPICyw4UkrDWv8V3iFgf30n9Y/lmvQYv09QKSUfflXGm7uKkcD0wXFckx7jV5mMhpQSzpxE7tuB3L8Tjh8BR+ssLlL7IQYPg4GXIQYMgbT+iNAw/wjci3DY9ZpGJrpYTEahCDQqm7NRqTsP56sh2hgPyIqeoVMKTkel7Lds2cKHH34IQHh4OA888AADBw4EdJN+eHg4JpMJs9nM4sWLvSa8S7mxa5LffFHAjUPiGZXs29oG73xZwvsH9P8491+RxJ2jEv2udBkB6XDAkf3IXZ8j93zR2v8tTDBgCGLYGMSw0TB4OCJKKYX+wGHXFU2LVAqOIshpuQaBHoejFJygpkMFx1WOfsGCBVitVubPn09mZmarSq/JycksXLiQ6Ohodu/ezcqVK3nhhRfc+5999lliY3tuIm04XsnGE1WcrWrkpa8P8JmCkXOmhvcPlGIS8Nikvkw2iLvMX0gp4fhh5OcbkDu3QU2L4nbxiYjRVyJGXwkjLm9VH0XhPxwOpwVHKTiKIMftooqIhLpaZFEBImOYf4VS9CgdKjidKWU/bFjzJBk6dCilpaVtztOTTB4Qy46zNdwxwnfWk+LzTfzqc71uw/1XJPVq5UZWlCG3rkdu2wBFLWpZpKQhrpyEGH8N9B+sLFsGxOWiMisXlSLYqXSmiQ8ZCft2QPE5/8qj6HE6VHA6U8q+JRs2bGDcuHGtti1atAiAG2+8kenTp7c7rrsVXX95Z3KXju8MFoulXTnsDo2fbdhPdaPG1QMSeOD6y3q08ODF5PAHLlmklDQd2kvt3/9Mw+cbwWUJSLARPuXrhE/5OpYBSqkxOi4XlVlZcBTBjtOCI4aOQu7boVLFewEdKjhdKUe/f/9+Nm7cyHPPPefe9vzzz5OYmEhlZSU///nP6du3LyNHti2RPX369FbKT3cqJ9Y0OogO7X4ztYtVcHx7TzF7C6pIjLDwcKaVsh62WBmlkiSANTGRkvV/Q/vkT5CXq28UJhh/DabJWTBiLA1mMw0APfi5BGs1V1/jcLbFMPdgOwyFwt/IxgaorQGzBZFxmd6EWBX7C3o6VHCsVmsrl1Npaam7iWBL8vLyeP3115k/fz4xMc0Bo4mJiQDExcUxYcIEcnNz21VwvEFNo4PlnxdwrKye396e4e6W7U1OltfzZ2fczU+u7UtceMAmonUJqTmQ/9lM6boP0M6c1DfGxCEmfx0x5euIxCS/yqfwDLeLypgdWxQK7+ByT8UlQLLz4UhZcIKeDn+dO1PKvqSkhKVLl/LII4+0erKur69HSklERAT19fXs3buXu+66y/t34SQyxERhTRMltXY+OVJO9ojOdy7uLO8fKEUCNw+NZ1RK8HejlVLC3h1of/kD5J/CAZBoQ3z9W4hrb0SEqVTuQMYVZKxicBRBjSvAOD5RV3JCQ6G6Ell7HhEZ5V/ZFD1GhwpOZ0rZv//++9TU1PDGG2+4xyxevJjKykqWLl0K6Avpddddx9ixY3vsZkxCcN8VSfx80xn+fqSCbw73ftDxlX2jOVXZyB0jva88GQ2Zl4v23io4ckDfYE0m9rsPUDP6SoQlxL/CKbyCclEpegOyhYIjTCawpUL+KT3QeMBg/wqn6DE65V/pqJT97NmzmT17dptxKSkpLFmypJsido3xfaOICzNzrqaJ05WN9I/3roVhakYcNwyKDergWVl7Hrn2HeS//q63S4iKQdwyA3HDN4jo05fzBokHUnQflUWl6BU4i/yJOD1kguQ+kH9KTxVXCk7QEnQBJGaTIDMtmn8er2T7mRqvKzhw8SDrQEdKidyxFbnmd7rP2mRCTP8m4tbvqLo1QYpuwRF0PyRfoTAwFc4YnHhdwRHJfXSbpQo0DmqCTsEBmNjPqeCcreau0d5xJb2zp5h6u8a3RllJDML+UvJ8NfKd3yJ3/FvfMHg4pvt+gOg3yL+CKXqU9DAHz+15g7C+acD1/hZHoegZKlvE4AAk9dH/qkDjoCb4fqmBsX2iCDEJjpTUU15n73bDy9omBx8dLqPeLvlaRlzQKTjy4G601b/SA/HCIhAzvo+4Lkv3VSuCmijhYHTFcUhRgZaK4MUVgyMusOCoVPHgJrh+qZ2EW0xckRrJjvzz5JytIWtIfLfOFxliZnHWAHblnycjMdw7QhoA6XAgP3gb+dlf9A1DRmCaNReRlOpfwRS+w5lFhVk5qRRBjCvIuGUMDigLTpBjWAVHNjXpTRoryzBN/2aXx1+VHsOO/PNsP9N9BQdgUEI4gxKCSLmprkL73RI49KUea3P7PYhv3IkwqR+63sSpWsn6wbeQHhlBVseHKxSByYUuqkQbmC1QUYZsqEeEBc/armjGsAoOgPzdy/rfKTcjQrqWlpyZpgfFfnnuPPV2jXCLcre4kHm5aK/+AsqKISYO0+wnEZeN9rdYCj+QXwd/TZ/ChMZ8peAoghJZXwd1tWAJAWeyhDCZISkFzp3VU8X7DfSvkIoewbAKjggJ0SdgUYH+L61/l8YnRlgYag3naGk9Xxac56r0mI4HtcMnR8r5d14Vd4ywMqFf4GcSyT3/0S03jY2QMQzT7HmIhOCv6XMp9uzZw+rVq9E0jWnTppGdnd1qf05ODmvWrEEIgdlsZubMmQwfPpz8/HyWLVvmPq6oqIgZM2Zwyy238N577/HPf/6T2Fi9Cevdd9/dptSCEegf2sj3jm0ktY+qRK0IUiqbM6haZcAm9VEKTpBjWAUHgJQ0Xbk5d6bLCg7o2VRHS+vZfrbGYwXn89PVHCiqI2uIw6PxRkLb/Bnynd+C1BDXTkPc+3CXLWPBhqZprFq1igULFmC1Wpk/fz6ZmZn069fPfcyYMWPIzMxECEFeXh7Lli3jlVdeoW/fvu46T5qm8dBDDzFx4kT3uFtuuYXbb7/d5/fUFfqYGsk+vRmROtnfoigUPcOF7ikn7kDjogKCs/CHwtAKjujTD7lvB/LcGY8m4OQBscSGmZmQ5pnlpbrBzoHCWkxCr2AcqEgpkR/9L/Kj/wNA3PpdxO13B209n66Qm5tLamoqKSkpAEyaNImcnJxWCk54eLN/vqGhod3Pbd++faSmppKUFGCWEM1Z4E9lzCmCFHcGVVxrBccdaFx41scSKXyFoRUcUp0/Muc8m4B9YkLpExPq8eX/c7Ich4TRKZHEhAVm8K2UEvneKuT6v4IwIe6djWnKTf4WyzCUlZVhtTa76KxWK0ePHm1z3Pbt23n33XeprKxk/vz5bfZv3bqVa6+9ttW2zz77jM2bN5ORkcH3vvc9oqPbKsnr169n/fr1ACxevBibzdbdW+oSueYo9iSPZUBEKhNaXNtisfhclvZQcviHjty2tbW1LF++nNLSUhwOB7fddhtTp05179c0jXnz5pGYmMi8efN8LP0FVFzEgpOapltwzp3xvUwKn2BoBUek+HcC/vu4/h9joocWIH8jpUS+v1pXbswWTA/9FDHuan+LZShkO12027PQTJw4kYkTJ3Lw4EHWrFnDz372M/c+u93Ozp07ueeee9zbsrKy3I1l16xZw1tvvcXDDz/c5rzTp09n+vTp7vclPm6D8UVJI78deQ/TtbMManFtm83mc1naQ8nRlpYNjXuCzrhtP/30U/r168e8efOoqqri0UcfZfLkyVgs+k/KJ598QlpaGnV1dT0qa6eovCBF3EVquv63QCk4wYqx7dJ9XBacM+3+EHWGE+X1vJ5zjo8Pl3VpnF2TfH7SqeAEYHCxlBL5l7eQ69bqys3sJ5Vy0w5Wq5XS0lL3+9LSUhISEi56/MiRIzl37hxVVVXubbt372bQoEHEx8e7t8XHx2MymTCZTEybNo1jx471iPzdxdlrE7NQzTYVOi3dthaLxe22bYkQgvr6eqSU1NfXEx0djcnp5iwtLWXXrl1MmzbNH+K35SIWHBKsEB4BNVXI6qq24xQBj6EtOETHQlQMnK/WtfD4rmf7lNfZ+eRIBaOTI7h1WGLHA5wcLKqlptFBelz33Fz+Qv71XeSnfwazWbfcjL3K3yIZksGDB1NQUEBRURGJiYls27aNOXPmtDrm3LlzpKSkIITg+PHj2O12YmKag9bbc0+Vl5e7FaXt27eTnp7e8zfjAQ5nDI5FxWMpnHTGbXvTTTfx0ksv8dBDD1FXV8fcuXPdCs6bb77Jfffd16H1xlfu2bLz1TQBcQMGEXbBNUr7DcSee4i4uipCB2UYxhVpFDnAWLJ0FUMrOEIISE2DY1/pcTgeKDiDE8OZOS6JIdauFXLafqYGCEz3lLbpU+THa8BkwvT/nlCWm0tgNpuZNWsWixYtQtM0pk6dSnp6OuvWrQN0V9MXX3zB5s2bMZvNhIaGMnfuXLcbq6Ghgb179/Lggw+2Ou8777zDyZMnEUKQlJTUZr9RcGi65cak9BuFk864bb/88ksGDBjAM888Q2FhIc8//zzDhw/n0KFDxMXFkZGRwYEDBy55HV+5Zx3FhQBUCTPigmtoSamQe4iKr/ZjSu5nGFekUeQA48jiiWvW0AoOOAPBjn2lZ1INv7zL4+PCLdwxsmuKkZSS7Wd1BcfT9HJ/IfftQP7xNQDE/T9EXDnJzxIZn/Hjx7epUZOV1Vz2Ljs7u02QpYuwsDB+//vft9n+ox/9yKsy9hRuF5WxndUKH9IZt+3GjRvJzs5GCEFqairJycnk5+dz+PBhduzYwe7du2lsbKSuro7ly5e3sYr6FFcdnAtjcKA5kaVAZVIFI4ZXcLqbSeUJJbV2CmuaiAnTiwUGCjIvF+31l/Q6N7fMwHTdjf4WSWFwHM6ndbNyUSmcdMZta7PZ2LdvHyNGjKCiooL8/HySk5O555573MH2Bw4c4KOPPvKrciPra6GhDkLDICKyzX7RJ92ZyHLa98IpehzDKzgitZ8+AbsR6X6qooHtZ2pIjwvtlEXmeFk9AMOSozEFyMIvy0rQfv08NNQjrp6K+Oa9/hZJEQC4XFRKwVG46Izb9s477+TVV1/l8ccfB+Dee+91V+02FC0CjNut++VKZFGZVEGJ4RUcUtP0v90oxnSktI63vyxm8oCYTik4uU4FZ3hyYMTfSHsT2usv6qbYYWMQ//WIKuKn6BQuBUe1alO0pCO3bWJiIgsWLLjkOUaNGsWoUaN6RL5O4+4ifpHMyKQ+etPN0iJkQ73v5FL4BOMva7ZUMJudE7DBo1MMjNfdTCcrOjd+YHwY16THMLafAZ9I2kH+aTUcPwyJNkwPPYmw9O72C4rO43JRmVSUsSIIkeV6LJG4SIKKMJubKxr7MAxC4RsMr+AIi0XXssFjK056XCgmAWerGml0RVVegmsHxDLv+jSuGdj5tHJ/oW3fjNzwsbOQ35OImMBQyhTGwOFMmFEuKkVQUu7M/km8RJpzH72EgyxQcTjBhuEVHMAdaOxpReMwi4m+MaFoEs5UNnpTMr8i808h3/oNAOI7/43IGOZniRSBhlvBCcxOJArFpXFacEi4uIIjUlUcTrASEAqOcMXhdMOEOCA+DNArG1+KgupG9hScp7rB2N3DZVMT2solelDxxOsRN9zsb5EUAYhbwVHNNhVBiHRacETCJUqF9OneA7TCuATGqpba3LLBUwYm6ApOR3E4m09W8eyG0/xpv/8LG10K+dd34WweJPfR690oF4PCA652FPK9Y39jeFiTv0VRKLyPy0WVkHTRQ0QfV08q5aIKNgJCwXFZcLqjYQ+M75yCkxBhYZgtgmFJER5fq6eRuYeQn30AwoTp+z9GhBtXVoWxuUIrJvv0JjIijG2xVCg8wu2iuoQFx+UhKCpAOuw9L5PCZxg/TRyaLTiFZ5GahvDAnO7OpCpvQEp5UYtH1pB4sobEeyppjyMb6tF+v0wv5nfTnYghI/wtkiKQcTgVG5MKwlEEF7KpEaor9QCz2LiLHifCwsGaDKVFOM6dhbAoH0qp6EkCw4ITFQ0xcdDY2KyRd5GkKAtRISaqGhxU1Afu06r885tQfA7SBiBuv8ff4igCnIMyji3JYynWVGkBRZDh+q2ItyI6UuCdVhz7mZM9K5PCpwSEggM0V5z00E0lhHAHGl/MTVVa28SpygZ38TOjIY8cQG78RE8JnzUXEaJ+lBTd42PLQJaNvIejTWH+FkWh8C6dcU85ccXhOM7k9aRECh8TMAqOSPFCHI4r0PgimVQbj1fxo49P8ObuIo+v0VNIux3tXWcTzW/cheif4WeJFMHAcHsJ1xbtISnU35IoFN5FlhcDIC6RIu7G+QCtLDjBRWDE4IBXWja4LDh5F7HguFo0DEowXoNNueFjPWsqKRXxjTv9LY4iSLit9jAc3IHpa5cuu69QBBydqIHjQqTqTTftyoITVASMgiNSnE03C/M9Pse1/WMZnRyJNbJ9185xp2VncKKxFBxHWTHyr/8LgOnuBxGhyp2g8BKuIGNV6U8RbLhTxDt2UdHCRSUukYSiCCwCxkVFSl/9bzcUnJgwM/3iwogIaXvb1Q0OCmuaCDUL+sUay15fvfrX0FAHY69GjMn0tziKIKKYMPIjbDSgFBxFcCHLnEX+LtWmwYmIiYWYOGR9LZQV97RoCh/RKQvOnj17WL16NZqmMW3aNLKzs1vt37JlCx9++CEA4eHhPPDAAwwcONC9X9M05s2bR2JiIvPmzfNMUlsKmExQVoxsbPC6FcNlvRmUEIbZQI0H5aEvafj3eggNxfTdB/wtTlDS0fzOyclhzZo1CCEwm83MnDmT4cOHA/DDH/6Q8PBwTCYTZrOZxYsXA1BTU8OyZcsoLi4mKSmJuXPnEh1tvO70v4qbxMGrvsXzdXYu97cwCoU36YKLCoB+A+HQl3D6hJ42rgh4OlRwNE1j1apVLFiwAKvVyvz588nMzKRfv37uY5KTk1m4cCHR0dHs3r2blStX8sILL7j3f/LJJ6SlpVFXV+exoMJi0TuLF+VDUYE+GT3gdzsKOVXZwBPX9iU2vPn2XS0cMgwUfyM1De293wMgbp6BUP/pvE5n5veYMWPIzMxECEFeXh7Lli3jlVdece9/9tlniY1t3eR07dq1jBkzhuzsbNauXcvatWu57777fHVbncaBrsybLYFjzFUoOkVXXFSA6DcQeehL5JmTiLFX9aBgCl/R4aqWm5tLamoqKSkpWCwWJk2aRE5OTqtjhg0b5n46HTp0KKWlzbVqSktL2bVrF9OmTeu+tF5wU+0vrGXvuVqKa1tXrDxXrZeqTzOQe0pu3wxnTmCypSCysv0tTlDSmfkdHh7u9sk3NDR0yj+fk5PDlClTAJgyZUqbcxoFzangWFQvKkUQ0brIX3znBvUbpI89c6LnBFP4lA4tOGVlZVitzRqw1Wrl6NGjFz1+w4YNjBs3zv3+zTff5L777uuW9caFSE1D7tuBLDyLp06k/xqn9yRJjW4daFxYoys4ydHGqC0jm5qQa98BIPruBzgfYhzFK5jo7Pzevn077777LpWVlcyfP7/VvkWLFgFw4403Mn36dAAqKytJSEgAICEhgaqqqnavv379etavXw/A4sWLsdk6aU73Eg6hKzZx8fGtrm2xWHwuS3soORQeUVGm/41L7LjInxPRbyASQGVSBQ0dKjhSti16d7En2P3797Nx40aee+45AHbu3ElcXBwZGRkcOHDgktfpzEJfO3gY1f+AsMpS4jxcbLIuMq6kXp/Uw/slY7Pppbr9uajVfvwe1aVFmNMHET3tViLa+R78QbAt9J2d3xMnTmTixIkcPHiQNWvW8LOf/QyA559/nsTERCorK/n5z39O3759GTlyZKevP336dLdSBFBS4tsmr65u4nV151td22az+VyW9lBytKVv377+FsH4lHXNPQXomVRmMxTlIxvq9RYOioCmQwXHarW2cTm5nkxbkpeXx+uvv878+fOJiYkB4PDhw+zYsYPdu3fT2NhIXV0dy5cvZ86cOW3Gd2ahl1F6nEN93nGavLjYaFJSUKnH4IQ01VBSolub/LWoybpatDV67I28/R4cUhpmcTXKQu+tRb6z89vFyJEjWbFiBVVVVcTGxpKYmAhAXFwcEyZMIDc3l5EjRxIXF0d5eTkJCQmUl5e3idExCg6nl9qs0sQVQYQsd2VQXbyL+IWIkBAsaQOwnzoO+adg0GU9JZ7CR3ToeB88eDAFBQUUFRVht9vZtm0bmZmtU5VLSkpYunQpjzzySKsfnnvuuYfXXnuNFStW8OMf/5jRo0e3q9x0mhRXsT/PY3Dyqxr5373FrMutcG+rqHfQpEliwsxEhvh/oZfr1kJNFQwZAVdM9Lc4QU1n5ve5c+fclp7jx49jt9uJiYmhvr7e7Xqtr69n79699O/fH4DMzEw2bdoEwKZNm5gwYYIP76rzuIKMTUrBUQQTXWjT0BLLwCEAyNMqDicY6NCCYzabmTVrFosWLULTNKZOnUp6ejrr1q0DICsri/fff5+amhreeOMN9xhXuqxXiU+EsHCoqUKer0ZExXT5FMW1TfzfvlJGJUe4u4YX1jQCkBLl//gbWV2F/MdaAEzf+i9VcKqH6cz8/uKLL9i8eTNms5nQ0FDmzp2LEILKykqWLl0KgMPh4LrrrmPs2LEAZGdns2zZMjZs2IDNZuOxxx7z1y1eElcMjsWsgowVQYSzTUOnU8SdWAYOhc3rQLVsCAo6VQdn/PjxjB8/vtW2rKws9+vZs2cze/bsS55j1KhRjBo1ygMRmxFC6JlUp47DubMweHiXz2FzVjEubZFFlRhh4d7LbcSE+f8pVm74CBrqYfR4xNDOx3IoPKej+Z2dnd2mNg5ASkoKS5YsafecMTExPPPMM16VsyewO424Jov/575C4S2k04LTqT5ULbAMHKyPV5lUQUHAPba5m2566KayReo6XUmtHc3pdkiJDmXGGBvfuOzisRe+QNbV6j2nANPNM/wqi6J3oAlXHZyA6dqiUHSMxy6qofqLM3ntJiAoAouAU3C6WwsnzGIiJtSEXZNU1Tu8KFj3kZs/hdrzMHSkst4ofIIryNiiYnAUwYSr3UIn2jS0xBSfCDFxUHdetWwIAgJYwfG8q7ir2WaJ0031xelqdpytobbJfwqPbGrUg4sB083f9pscit6FKwZHuagUwYJsatKL/JlMnS/y50QI0VwlX8XhBDwBp+CIFL2Efne6ije7qfTifqt3FfH8v85QVme/1LAeRW5dD1UV0D8DRo3v8HiFwhtcU3qAa4v2EBqqXFSKIKHC6Z6K73yRv5YIp4KjMqkCn8Bb1VL66H+L8pGahvCgxLz1gkDjcX2iyK9uJNlPWVTSbkd++hdAt96ozCmFr/jhkT+Dw44p5E5/i6JQeAd3DyoPC5I6WzYoC07gE3AKjoiM1n2k1ZW6pt6FQk4ubFGtLTizJ6Z6VcauIndsgdIiSE2DcVf7VRZFL0NzumVVDI4iSPA0g8qFq2WDVApOwBNwLiqg2wX/bBfE4PgTKSVy/UcAiKw7PDKpKhSeoDnsnImwURBh88gSqlAYki52EW9Dq5YNDd6TS+FzAnJVE6muVHHPAo3dMTjnmyg+38TJ8nrqmjSvydcljh+GvFyIjkFcNcU/Mih6JfYmjTkTn+DRCcYsQqhQeISrD1UXM6hciJAQSO0HUkK+arwZyASkgtPdVHF3DE6dnX8cq+DRT07yl4OlHYzqGeTGvwEgrstChIb5RQZF70TT7KTVFtG3zj9zX6HoCbrrogIVaBwsBFwMDujF/iTdL/ZXWttEYbUeh+OPAGNZWY7csRWECTHlJp9fX9G7CUPj19uXQkQkoKyHiiChzLM2Da1Iz4D/bIJTx7wjk8IvBKSC47bgnDvj0fAwi4nnp6WTGGHhN/85p58y2g8KzpbPwGGHsVchbCk+v76il+NwumVV3JcimCgt0v/akj0+hRg4VH+IPpnrHZkUfiEwFZykVBACSouQdjvCgzLzl6dGAVB0Xrfg+FrBkXY7ctOnAJi+dqtPr61QALpyDSqDShE0yPo6OF8NIaEQE+/5iQZk6L8xZ04gmxoRIaFek1HhOwIyBkeEhOrp4ZoGZUUen6fJoVFWa8ckmjOrfIXc/QVUlOnBbMMv9+m1FQqAkvON3D355/xo5EP+FkWh8A6lrhYNSd2qJybCI/W12eEAFYcTsASkggNAsrPgX2GBR8P/c6aaBetPI9Fjcswm3xbXkxv1ppria7eown4Kv+CwO2gwh9JkCkxDrkLRBtcDr7Xr9dEuRDgbb8qTR7t9LoV/CFgFRyTpCo4s8kzBOVXRwFcldQAkR/vW/CjPnYGjByEsHHHNVJ9eW6Fw4XDG4Jiln0okKBReRpboCo6weh5/42aQs7O4UnAClsB9dHO1bCj2TMHJTIvmP2dqOFpaT4qPM6jktn8CIDKv1U2hCoUfcDj0KsYmpJ8lURiNPXv2sHr1ajRNY9q0aWRnZ7faX1tby/LlyyktLcXhcHDbbbcxdepUSkpKWLFiBRUVFQghmD59OjfffLPvBHcFGHtBwVGBxoFPwCo4IrlPt1LFByWEc3lKJEdL60n2YYCx1BzIzzcCICZN99l1FReno8U8JyeHNWvWIITAbDYzc+ZMhg8ffsnF/L333uOf//wnsbGxANx9992MH2+sJqouBceCsuAomtE0jVWrVrFgwQKsVivz588nMzOTfv36uY/59NNP6devH/PmzaOqqopHH32UyZMnYzabuf/++8nIyKCuro558+Zx+eWXtxrbo7hSxL3goqLfIDBb4NwZZH2tehgNQAJWwSHJmSruoYsKoNCVQeVLC87BPXpwcVIqDB3pu+sq2qUzi/mYMWPIzMxECEFeXh7Lli3jlVde6XAxv+WWW7j99tv9dWsdYne6qJQFR9GS3NxcUlNTSUnRS1dMmjSJnJycVv8nhBDU19cjpaS+vp7o6GhMJhMJCQkkJCQAEBERQVpaGmVlZT5TcGRJoS5fohcsOCEh0G+gXmk+7xgMG9Ptcyp8SwArOM66MaWFSIcD0cVUVykl/86rBnxb5E9u2wCAmDRNBRcbgM4s5uHh4e7XDQ0N7u/N34t5d9HsugXHrBQcRQvKysqwWpv7OFmtVo4ebR2HctNNN/HSSy/x0EMPUVdXx9y5czFd0M+sqKiIEydOMGTIkHavs379etavXw/A4sWLsdm6UZjPSXFFKRqQeNlwzB6cz2KxtJKjavgY6vJyiSzKJ+pa38VLXiiHPzGSLF0lYBUcERqm9xopK9H9rq6sqs6Ob6FcJPlIwZHna/T0cCEQ13zNJ9dUXJrOLOYA27dv591336WyspL58+e32d/eYv7ZZ5+xefNmMjIy+N73vkd0dHTP3ISHODQNMCkFR9EKKdvOhwsfxr788ksGDBjAM888Q2FhIc8//zzDhw8nMlJ349TX1/Pyyy8zc+ZM97YLmT59OtOnN7vpS0pKuid3UyNaeSmYzZRpIDw4n81mayWHlqo/rJw/sIe6yV/vlnzdkcOfGEWWvn37dnlMwCo4ACT10RWcooIuKzgAz09Lp6zO7rMYHJmzGexNMOIKhDd8xIpu05nFHGDixIlMnDiRgwcPsmbNGn72s5+597W3mGdlZXHXXXcBsGbNGt566y0efvjhNuftiafYzhIeHgE0YBG0ua5RntqUHL7HarVSWtrcn6y0tNRtqXSxceNGsrOzEUKQmppKcnIy+fn5DBkyBLvdzssvv8zkyZO56qqrfCe4q8lmvBXhperczYHGKpMqEAloBUck90Ee3ocsLsATZ4+rmrGvkFud2VOTpvn0uoqL05nFvCUjR45kxYoVVFVVERsbe9HFPD4+3v162rRpvPjii+2ez9tPsV2hqrIaCMUstTbXNcpTm5KjLZ48yXaFwYMHU1BQQFFREYmJiWzbto05c+a0OsZms7Fv3z5GjBhBRUUF+fn5JCcnI6XktddeIy0tjVtv9XGF9lI9/sYbGVRu+qRDaJheNb+6EhET571zK3qcgFZwuttV3JfIs6f0egoRkYhx1/hbHIWTzizm586dIyUlBSEEx48fx263ExMTc8nFvLy83K0obd++nfT0dJ/dU2fRXVTg4xqXCoNjNpuZNWsWixYtQtM0pk6dSnp6OuvWrQN06+Sdd97Jq6++yuOPPw7AvffeS2xsLF999RWbN2+mf//+PPHEE4DvMgils4qxN63jwmyG/oMh9yCczIUxV3rt3IqeJ6AVHJHkTBXvRiaVr5DbNwEgMq9DhIX5WRqFi84s5l988QWbN2/GbDYTGhrK3LlzEUJccjF/5513OHnyJEIIkpKSePDBB/15m+3iyqJSMTiKCxk/fnwbpSQrK8v9OjExkQULFrQZN3z4cN57770el69d3DVwvNu4WAwcisw9iDx5FKEUnIAioBUcd9yNh8X+fIWUErnj3wCICZP9LI3iQjpazLOzs9vUxoFLL+Y/+tGPvCpjTxCGg7TaImzmen+LolB0n1Iv1sBpyUA9cUDF4QQeAduqAdCDjAGK9VRxw3L6uB4IHRMHl432tzQKBQCXhzfw6+1Leahxr79FUSi6jXTG4HilTUMLhKtlw4kj7SYlKIxLQCs4IiwM4q3gsDdXsDQgbuvNlZO6XK9HoegxNP2hwFsZJwqFX+kpC05SH/3htLqyW4VlFb4noBUcwPBuKt09tRXQ428UCsPgsnqaA9tTrVBIhwMqSkEISPCugiOEgCEj9OvkHvTquRU9S8ArOMKp4MhCYyo4nDoGxecgNl61ZlAYig2VYdw9+eesDBnlb1EUiu5RUQqaBnEJeosFLyOGOv+PHFUKTiAR8AoOyd3vSdWTyJwW7inlClAYCLsmaTCH4hCBvwwoejkl3usi3h5iiP5wKpWCE1AE/MrmtuAY0EXVKntKuacUBmNaRCV/3LKAWabj/hZFoegW0pkiLhJ7qEJ8+iC94F9RPrKqvGeuofA6nXK+79mzh9WrV6NpGtOmTWuTMrtlyxY+/PBDQG9M+MADDzBw4EAaGxt59tlnsdvtOBwOrr76ambMmOHdO3DF4Bix2N/JXL02Q1yi24erUBgFs2YnwtGIMKtKf4oAp8xpwbH1kAXHYoHBw+HQl5B7CMZP6pHrKLxLhwqOpmmsWrWKBQsWYLVamT9/PpmZma06JicnJ7Nw4UKio6PZvXs3K1eu5IUXXiAkJIRnn32W8PBw7HY7zzzzDGPHjuWyyy7z3h24FJySc0jNYSg3UKvsKQPJpVAA4Cz0hyngDbmK3o4rgyqxZxQcADFkBPLQl8ijBxFKwQkIOlzZcnNzSU1NJSUlBYvFwqRJk8jJyWl1zLBhw9ydkocOHeru7SOEIDw8HACHw4HD4Wi3kWF3EGHhuoXEbofy0o4H+AgpJXLXNkC5pxTG5F+10SwYO5t1suuNahUKI+F2UfVQDA6oOJxApEMFp6ysDKvV6n5vtVopKyu76PEbNmxg3Lhx7veapvHEE0/wwAMPMGbMGIYOHdpNkdshOVX/ayQ3Vf4pKCnU6ycMHuZvaRSKNhQ7LByMz6CYcH+LolB0D3ebhh6KwQHIGKZbO08fR9bX9dx1FF6jQxdVe5UbL2aF2b9/Pxs3buS5555zbzOZTCxZsoTz58+zdOlSTp06Rf/+/duMXb9+PevXrwdg8eLF2Gy2Tt9EZfog6o8eJKquhsgujOsIi8XSJTlacn7TJ9QA4ROuJS65e71RuiOHtzGSLIruYXd6qMyq26YigJGa1lzotSctOOERkJ4Beblw/DCMHNtj11J4hw4VHKvV6nY5AZSWlrq7JLckLy+P119/nfnz5xMTE9Nmf1RUFCNHjmTPnj3tKjjTp09n+vTp7vclJSWdvgktJh6AmhO51HZhXEfYbLYuydESx+f/AqBx2OUen8Mbcngbo8jSt29ff4sQ8DicDy9KwVEENFXleohCdKwestCDiKEjkXm5yNyDCKXgGJ4OXVSDBw+moKCAoqIi7HY727ZtIzMzs9UxJSUlLF26lEceeaTVD09VVRXnz58HoLGxkX379pGWlublWwCSdBeVLDnn/XN7gKyq0DV8iwVGjuvweIXCH2guBcfLcXEKhU/p4Ro4LXHH4eQe6vFrKbpPhxYcs9nMrFmzWLRoEZqmMXXqVNLT01m3bh2gd11+//33qamp4Y033nCPWbx4MeXl5axYsQJN05BScs0113Dlld5vNy+SUpGgVww2AHLfTpASho3RzZoKhQFRLipFMOB6sBXOB90eZaiz3Mexr5B2u54+rjAsnfp2xo8fz/jx41tty8rKcr+ePXs2s2fPbjNuwIABvPTSS90UsRO4u4qfQ0rp9UytriL36llm4oqJfpVDobgUbguOyhJXBDJFzgdbHyg4IjZBr55flA+nj8MgL5Y8UXid4FjaomMgPALqauF8tV9FkU1NcGA3AOLyCX6VRaG4FA5n/oBZ1cFRBDIlvlNwQI/DAZCH9/nkegrPCQr7mhACbKlw5gQUF0J0rP+EObIfGuqg38Aercmg8B4dVerOyclhzZo1CCEwm83MnDmT4cOHX3JsTU0Ny5Yto7i4mKSkJObOneuuFWUU7FKAUC4qRWAji33oogIYcQVsXY889CXcdKdvrqnwiOB5dEs2RqCx/HI7AOJy5Z4KBFyVup966imWLVvG1q1bOXPmTKtjxowZw5IlS1iyZAk/+MEPeO211zocu3btWsaMGcPy5csZM2YMa9eu9fWtdYimsqgUwUBxof7XVxacEVfoL44eRDY1+uSaCs8IGgVH2JyT249dxaWULeJvlHsqEOhMpe7w8HB3XFdDQ4P79aXG5uTkMGXKFACmTJnS5pxGwC71+1AuKkWgIhsaoLIMzBZIsHY8wAuI2Hi9+WZTI6iqxoYmKFxUACQ5i+mVFPpPhrN5ekXN2HgY2AMVmxVep71K3UePHm1z3Pbt23n33XeprKxk/vz5HY6trKx014tKSEigqqqqJ2/DI5xJVJhVs01FoOJa763JPu33J0aMRZ4+gTz0paqHY2CCRsERSX2QNPtj/YF0BRePGo9QT8UBQWcrdU+cOJGJEydy8OBB1qxZw89+9rMuVfm+GN2p4N1dpNDnaHRUZJvrGqVitZJDcUmKnRb7pO5Vi+8qYuRY5LoPkAf3wJ3/5dNrKzpP0Cg47gnuTwXn4B79xShV3C9Q6GylbhcjR45kxYoVVFVVXXJsXFwc5eXlJCQkUF5eTmxs+4Hv3ang3V3mVG3j4f27CRvxkzbXNUrFaiVHW1QV72aaa+D4uGHs0JFgCdH7UlVXIWL8mNiiuCjBY2ZITAZhgvISpL3J55eXTY2QewAAMeJyn19f4RmdqdR97tw5t7Xm+PHj2O12YmJiLjk2MzOTTZs2AbBp0yYmTDBeTFaIw06EoxGLxXemfYXCq7hr4PjYghMapis5UiK/2uvTays6T9BYcITFAok2PQampAhSe6AlxKXIPQSNjXp6eOzFLQAKY9GZSt1ffPEFmzdvxmw2Exoayty5c90p4+2NBcjOzmbZsmVs2LABm83GY4895s/bbB/Nof/1YeyCQuFNpDMGx+cWHPRsKnnoSzi0ByZc5/PrKzomaBQcQE8TLC3SCz/5WMGRh/YAqICzAKSjSt3Z2dltauNcaixATEwMzzzzjFfl9DZvRI3n5NireaDBwmB/C6NQeEKxfyw44IzD+ctbyIN7DFFBX9GW4HFR0VzoSRb7PpNKHvxSl2HEWJ9fW6HwhJOWeA7GZ1AXXMuAopcgNa05i8rmoyJ/LUnPgKgY/aG62H/lSRQXJ7hWNlehJx9PNllTBaeO6d3Dh47y6bUVCk95oGwbz+9+jQFRykWlCEAqysDeBDFxfmlqLEwmxHA93tKdYKIwFEGl4PjLgiMP7dW7hw8ZiQgL8+m1FQpPGVhfwqjK40SHBZenWtFLcLmnkn0ff+PGGZKgFBxjElQKjtuC4+t2DSr+RhGIOJxBxqqduCIAcaeI23wff+NCjHLG3x38Um+0rDAUwbWyufywxefaLcLWE0gp3dq7u0eJQhEA/DluLKsH30q5PbiWAUUvwZ0i7j8LjrAmQb9BeoPlwypd3GgE1comoqIhMhoa6qG60jcXLSrQg8yiYqB/hm+uqVB4gX/FDuOj9Os5r6kYHEUAUuK/DKqWiLF6Y2VXo2WFcQgqBQdoEWjsGzeV23oz/HKf9kJRKLqL3dmqwWwJvmVAEfy42vIIf2RQtUCMvQoAuWe7zzwHis4RdCtbc6CxjxQcZ/wNKv5GEWA4cHYTVzE4ikDEHWTsXwWH/oMhPhEqSuHUcf/KomhF8K1s7q7iPa/gSCnhqLM9w3DVnkERWDjcFhyVRaUILGRdLdRUQUgo+LlyvBACcYXTTbXnP36VRdGa4FNwXObKIh9YcApOQ021rr0n+fkpQqHoIg6Ui0oRoLisN7YUhMn/81dc4XRTfakUHCMRdI9uIikVSXMKYU8ijzitN0NHqTLdioBDc1lwzEG3DCi6yZ49e1i9ejWapjFt2rQ2rUpqa2tZvnw5paWlOBwObrvtNqZOndqpsV7BHWBskAfL4WMgLBxOn0CWFuvZVQq/43/V19u4aiKUFPX8tZzuKS5T1YsVgYdduagU7aBpGqtWreKpp55i2bJlbN26lTNnzrQ65tNPP6Vfv34sWbKEhQsX8tZbb2G32zs11hu4A4wNouCIkFBw1sSRe1U2lVEIPgUnwQbCBBWlSHvPFV6SUraw4IzusesoFD2F5nJRmVX2n6KZ3NxcUlNTSUlJwWKxMGnSJHJyclodI4Sgvr4eKSX19fVER0djMpk6NdYrFBnMggMqDseABJ2CIywWSLTprRPKinvuQiWFetR8VAz06ddz11Eoegh3kHGIsuAomikrK8NqtbrfW61WysrKWh1z0003cfbsWR566CEef/xxvv/972MymTo11hvIonwARHJfr5/bU8SYTP3h+vB+ZO15f4ujIAhjcACwJuvF90oKoYf+A7isNwwdaYggN4WiK2iahsNZt0mliSta0l4tlwtjDL/88ksGDBjAM888Q2FhIc8//zzDhw/v1FgX69evZ/369QAsXrwYm83WaRmLSwrRgITho7B0YVxHWCyWLsnRCpuNshGX03RwD9HHDxFxw03+kcPLGEmWrhKUCo6wpSCP7EeWFNFjob9H9+vXUt3DFQGI5tAAMEkHJuWiUrTAarVSWlrqfl9aWkpCQutU7I0bN5KdnY0QgtTUVJKTk8nPz+/UWBfTp09n+vTp7vclJSWdkk82NKCVFILZQrkpBNHJcZ3BZrN1Wo720MZeDQf3ULXhE86PzvSbHN7EKLL07dt1Y0VQKjjNgcY911VcHj0IgFABxgFPR1kfW7Zs4cMPPwQgPDycBx54gIEDB5Kfn8+yZcvcxxUVFTFjxgxuueUW3nvvPf75z38SGxsLwN1338348eN9dk8dYbfbATBLzc+SKIzG4MGDKSgooKioiMTERLZt28acOXNaHWOz2di3bx8jRoygoqKC/Px8kpOTiYqK6nBstynW3VMkpSIMppyLzGuR/7cSDu5G1lQhomP9LVKvJjgVHGuy/re0ZzKpZEWp3oMqLALSVf+pQMaV9bFgwQKsVivz588nMzOTfv2a46qSk5NZuHAh0dHR7N69m5UrV/LCCy/Qt29flixZ4j7PQw89xMSJE93jbrnlFm6//Xaf31NnsOBg0e5X0ULCgCX+FkdhIMxmM7NmzWLRokVomsbUqVNJT09n3bp1AGRlZXHnnXfy6quv8vjjjwNw7733upX59sZ6lUKngpNinPgbFyImDkZcAQd2I3duQ0zx3E2l6D5BqeAIW4qzFk7PWHBc1huGDDfcE4Sia7TM+gDcWR8tFZxhw4a5Xw8dOrSVCd7Fvn37SE1NJSkpMOpfmDXJiMqTEBHlb1EUBmT8+PFtLI5ZWVnu14mJiSxYsKDTY72JPHcWAGFABQdATLweeWA3cvsmUAqOXwnO6EJbz1pwaFHgTxHYdDXrY8OGDYwbN67N9q1bt3Lttde22vbZZ5/xk5/8hFdffZWamhrvCe0NHLqLCqWgKwINA1twAMS4a8ASAkcPIsv8H7vSmwlKCw7xiWC2QGU5srEBERrm1dNLV/+py1T9m0CnK1kf+/fvZ+PGjTz33HOtttvtdnbu3Mk999zj3paVlcVdd90FwJo1a3jrrbd4+OGH25yzO5kk3aHCbufVIbcTa5E80s41jZI5oeRQXIg7RTwlzc+StI+IiITLM2HX58gdWxBZd/hbpF5LpxQcT4MwS0pKWLFiBRUVFQghmD59OjfffLPXb+JChMms18IpPgelxV6tUyNrquBsnq6hDxzqtfMq/ENnsz7y8vJ4/fXXmT9/PjExMa327d69m0GDBhEfH+/e1vL1tGnTePHFF9u9vqeZJN2l6FwJf+t3HbbGKr7bzjWNkjmh5GiLJ9kkQUWh7qIyqgUHwDTxerRdnyO3bwGl4PiNDl1UnSm97QrCXLp0KXfeeScrV64E9GC1+++/n2XLlrFo0SI+++yzHinb3S49lUl14oj+d+BQREiId8+t8DktM0bsdjvbtm0jM7N1emdJSQlLly7lkUceaffHpT33VHl5ufv19u3bvR9o2U2iTBqzjn7It4u/8LcoCkWnkTVVeoPjsHCIS/S3OBdnTCaER0BeLtLlUlP4nA4tON0JwkxISHA/DUdERJCWlkZZWVmrsT1Fy0Bjb9bCkccP6+cfPKyDIxWBQGcyRt5//31qamp444033GMWL14MQENDA3v37uXBBx9sdd533nmHkydPIoQgKSmpzX5/E2nSuPXs1h4rhKlQ9Agt4m+M3OBYhIYhxl2N/HwjcvtmxG3f9bdIvZIOFZz2gjCPHj160eMvFoRZVFTEiRMnGDJkiIeidhF3qrh3LTjyuG7BEYOUghMsdJQxMnv2bGbPnt3u2LCwMH7/+9+32f6jH/3Iu0J6G2ehPxVkrAgkZFEBYNz4m5aIq27QFZxt/0TeMkNVvPcDHSo43gjCrK+v5+WXX2bmzJlERka2O9bbwZZ1g4ZQBYRWVRDv4bkuDCyUmkbxyaNIIDHzGsxW3wQdGinA0UiyKDynur6J7SnjiYuJYoK/hVEoOksAxN+4GXE5JCbpYRJffQkj2z74K3qWDhWc7gZh2u12Xn75ZSZPnsxVV1110et4O9hShumKVEP+aY/PdWFgoSw4jaytgQQb5VKAj4IOjRTgaBRZen2gZTcprHXw6xHfZXBDsVJwFIGDy0UVAK5VYTIjJt+I/PBd5OZ1CKXg+JwObWbdCcKUUvLaa6+RlpbGrbfe6n3pL4UryNiLLipX/A2DLvPaORUKf+Bw9aKirYVWoTAqstDYRf4uREyaDsKE3PMfZFWFv8XpdXRowelOEObhw4fZvHkz/fv354knngB82JMnNh5CQqGmGllfiwhv3zXWJVzxNxkq/kYR2DgcDsCMBdWLShEYSCm7XeRvXW4FewrOc8fIRIZaI7woXfuIRBuMuRL25iA/34D4+rd6/JqKZjpVB8fTIMzhw4fz3nvvdVNEzxBC6IHG585ASRH0G9jtc7ozqJSCowhwHJoGmFEhxoqAoaIMGhsgOhYRFdPx8e1wqLiWraeqGdsnyicKDoDp+q+j7c1Bbl6HzLrD0NlfwUZwh3W7WjZ4oRaOrK/TC/yZzdB/cLfPp1D4E+WiUgQc3QwwPllez4bjVVgjLVyR6gWLfmcZfaVeXb8oH47s9911FcGt4AhnHI70Rk+qvGMgNUgbiAjzbusHhcLXuBQcs1AKjiIwcBXM8zRFvKCmCYBB8WGkRId6Ta6OEGYz4robAZCb1/nsuoogV3DctXC8YcFR7ilFEOFWcPwsh0LRabppwSk+rys4SVG+r0AvrrsRhEDu2oqsrvT59XsrQa3guC04Jd234LgzqJSCowgC9BgcZcFRBA7dteAUORWcnfk1/GF3Ubs13noKYU3W2zfY7ciNn/jsur2doFZwsHqnH5WUEk44LTgqRVwRBNg1fXFXFhxFwFDUvQyqEqeCU3Tezl8OllHV4PCWZJ3ClJUNgPzXJ8jGBp9eu7cS3AqOuxZONy04ZSVQWQ6R0YFRQVOh6ACXi8qiEjoUAYB0OKD4nP4muY9H5yg6b2/1/pwzJsdnXDZaT1CprkR+sdG31+6lBLeCEx2jd52tO488X+PxaVq6p1SKnyIYcDgtOCblolIEAsUF4HBAYhIi1LMkD1cMzsgkPT28oLrRa+J1BiEEwmXF+ceHSE3VoOppglrBEUI0W3G646ZS7ilFkNEcg+NnQRSKzlBwRv/bN92j4Q12jaoGBxaTYLhTwfG5BQcQV14LiTY4dxb27fT59XsbQa3gAHqzM+iWm0rmHQNADBrqDYkUCr9zmaWO7+f+levwf18xhaIjZP4pAESqZwqOy3pji7TQJ0ZPET/nYwsOgLBYENNuB0Bb94HPr9/bCHoFRzhTxWWZZwqO1DQ4pSs4DFAF/hTBwQBTPbed+TdjzRX+FkWh6Jhz3bPguDKokqNCSI3W08T9YcEBEJOzICISjuxHnjzqFxl6C0Gv4GB1WXCKPRtffA7q6yA+ERHbtou6QhGQaM4MEpPKo1IYH+l0UYk+/TwaX+wMMLZFhfjVggMgIiIRk78OgPbJn/wiQ2+hFyg4TguOhy4q6bLeqPYMiiAir8HMv1LGc1zE+lsUheKSSE2DgtP6mz7dc1ElR1lIjLBgMQnK6x3UNfkn0Ffc+E0IDYXdXyDzcv0iQ2+gU802AxmRmKR32/HUguOcfEK5p4KWPXv2sHr1ajRNY9q0aWRnZ7fav2XLFj788EMAwsPDeeCBBxg4cCAAP/zhDwkPD8dkMmE2m1m8eDEANTU1LFu2jOLiYpKSkpg7dy7R0dG+vK1LktMQxR9HfJdvkc8QfwujUFyK8hK9yWZsvMdNNuvtGiahVzE2mwQp0SGcrWqksKaRgQnhXha4Y0R8IuKGW5DrPkD78F3Mc57xuQy9gaBXcNztGjyNwTl1HAChLDhBiaZprFq1igULFmC1Wpk/fz6ZmZn069dsCk9OTmbhwoVER0eze/duVq5cyQsvvODe/+yzzxIb29oSsnbtWsaMGUN2djZr165l7dq13HfffT67r45IF3VMObeTjAHx/hZFobg03bTeADyQmcL3xyfjrI5AqlPBKahp8ouCAyBu+hZy06ewbwfy2FeIwcP9IkcwE/wuqth4sFigphrZUN+loVJKvckmwAD1nBuM5ObmkpqaSkpKChaLhUmTJpGTk9PqmGHDhrmtL0OHDqW0tLTD8+bk5DBlyhQApkyZ0uac/uYqUxmPfrWGa8Oq/S2KQnFJZL6u4Hgaf+PCbBKEOOsipPo5DgdAxMQhpt0GgPbhH/0mRzAT9BYcYTLpqeJFBXqqeN/+nR6rFRVAbQ3ExOnt7hVBR1lZGVar1f3earVy9OjFMxs2bNjAuHHjWm1btGgRADfeeCPTp08HoLKykoQEPSg9ISGBqqqqds+3fv161q9fD8DixYux2Wye30wXqA4LoxaIiokhqp1rWiwWn8lyKZQcCncGVTcsOBfSx8+ZVC5EVjZy49/g0JfIw/sQw8b4VZ5gI+gVHEB3UxUV6HE4XVBwmlwVjAcMVhWMg5T2Gu5d7Lvev38/Gzdu5LnnnnNve/7550lMTKSyspKf//zn9O3bl5EjR3b6+tOnT3crRQAlJb6pS1NS3UBNZDIJdU3EtXNNm83mM1kuhZKjLX379q52Me4aOB4qOCW1Tfzk7ycZYg1nwQ36Oa7pH8OQxHDSYkO9JqcniKhoRNY3kR++i7b2HUw/Xax+a7xI8Luo0AONoeuZVE3HnBWM+yv3VLBitVpbuZxKS0vdlpeW5OXl8frrr/PEE08QE9Mc6JiYqFv24uLimDBhArm5ue735eXlAJSXl7eJ0fE3H9j78OjEn7CxUVkmFcZFStlcxdhDBaeoponyegeV9c3NNW2RIYxIjiQ23P/P+GLa7RAdC7mHYOdWf4sTVPQKBcfTQGO704IjBmR4WyKFQRg8eDAFBQUUFRVht9vZtm0bmZmZrY4pKSlh6dKlPPLII62enuvr66mrq3O/3rt3L/376xbCzMxMNm3aBMCmTZuYMGGCj+6oczichiuLelpUGJnqCj1MICIK4jyrQzbMFsEb2YN5dJJnTTp7GhERibhDT0DQ/vR7ZIPqNO4t/K+++gIPiv1JKd0WHFUDJ3gxm83MmjWLRYsWoWkaU6dOJT09nXXr1gGQlZXF+++/T01NDW+88YZ7zOLFi6msrGTp0qUAOBwOrrvuOsaOHQtAdnY2y5YtY8OGDdhsNh577DG/3N/FcEhAgEk1o1IYmXxXBlU/j103ZpMgKSqkzfb3D5RytLSOB65MaXe/LxHX3ahnVJ06jvzszzBrjl/lCRZ6hYIjrMlIuuiiKi9BVlVAVEyzBUgRlIwfP57x48e32paVleV+PXv2bGbPnt1mXEpKCkuWLGn3nDExMTzzjHFrWzikBKEv/gqFUWmuYOy9AGMXuwvOs7+wlpuGJvhfwTGZMX33QbSX5iE//QuOW78NJv/KFAz0DhdVogftGtwVjDNU0Jci6HC5qMym3rEEKAIUL9TAeWNnIS9uOcupytaunztGJPL4tX0ZFB/WHQm9hhg6EjFxCjQ1Uv3mb/wtTlDQO1a3BBsIE1SWIe2dSwt0dxBX9W8UQYhD6kq7suAojIws6H4NnN3559l2qhpNa50xmZkWzfUDY4mPMI4jQ9z5XxAaRsPnG5EH9/hbnICnVyg4wmLR69hICeUdF2mDZgVHxd8oghG3BcfcK5YARaDSzQwqKSUltfpDrb/dUJ1BJNoQt8wAQHvrN8j6Oj9LFNj0ntXNHWjcyTgcV4sGlUGlCEJcCbMWZcFRGBRZWwOVZXpTSg/jIKsbNertksgQE1Gh5tbnl5LPjlbwmy8KsGtt62H5C5F1B5aMYVBahPzzH/wtTkDTaxQckejqKt5xHI6sKofKMkREJNhSe1o0hcLnNLuoes0SoAg0XNab1H56RXoPKDl/ceuNEIIPDpXyj2OVnKowTmq2sFiI/dHTYLYg//UJ8qu9/hYpYDGO87Gn6YoF50weAJYBQ9DUD4AiCHFZcJSLStEee/bsYfXq1WiaxrRp08jOzm61/69//StbtmwB9Ia1Z86cYdWqVURHR/Pxxx+zYcMGhBCkp6fz8MMPExra9YrB7vibVM8DjAucvaaSL+KeGmaNoKC6icMldWQk+qfpZnuEDByCuHWGXuH4D7/G9OxyRHiEv8UKOHrP6taFYn/yzEkALANV/I0iOHFbcJSCo7gATdNYtWoVTz31FMuWLWPr1q2cOXOm1TG33347S5YsYcmSJdx9992MHDmS6OhoysrK+Pvf/87ixYt5+eWX0TSNbdu2eSaIs0UD3Qgwzi3TGyxnJLafKXWZTVcaDpcYL9ZF3HQX9M+AkkLkn9/0tzgBSa9Z3YTV1a6hE6niLgVngFJwFMGJA6XgKNonNzeX1NRUUlJSsFgsTJo0iZycnIsev3XrVq699lr3e03TaGxsxOFw0NjY2G7rk84gzzp7UPUb4NF4aFZwBl/EOnOZTd9+uKTe42v0FMJiwfT9R52uqr8jd3qoKPZies/q5rLgdMJFJc82u6gUimDkivqzXF+4i4TQ3rMEKDpHWVkZVqvV/d5qtVJWVtbusQ0NDezZs4err74a0Huz3XbbbfzgBz/gwQcfJDIykiuuuMIzQZzrMGkDPRoupeSYU8EZchEFZ2B8OKFmQX51I1UNjnaP8Sei3yDEt78PgPaH5ciifD9LFFj0nhgcV7G/8hKkpl00aE06HG7TqKV/BtQZT7NXKLrLXRW74cQRTN8c3/HBil6FlG0zii5W7HTnzp0MGzaM6OhoAGpqasjJyWHFihVERkbyy1/+ks2bN3P99de3Gbt+/XrWr18PwOLFi7HZbO59WlUlxZVliPAIbMNGehRkfKaijvONGtbIEIb1v3gfquHJBewtqKKwKYTLLJZWcvgLSws55IyZVOYdpeHzf2F642USF69EhPquOKHFIJ+JJ3RKweko4GzLli18+OGHAISHh/PAAw8wcOBAAF599VV27dpFXFwcL7/8sleF7woiLFzv2FpTBVXlEG9t/8CifLA3gTUZU1S0UnAUwYnD+bRqNl/6OEWvw2q1UlraXC+stLT0om6mrVu3ct1117nf79u3j+TkZGJjYwG46qqrOHLkSLsKzvTp05k+fbr7fUlJifu1PLxf/9snndKLWI86IudkFQAZCaGtzn0hGfEW9hbAjuOFXDMw8ZLH+gqbzdb68/juQ5D7FfYTRyle8SKm+x/2myz+omWj487SoVrcmYCz5ORkFi5cyNKlS7nzzjtZuXKle98NN9zAU0891WXBegS3m+ricTjSmUFFv4E9L49C4SfyzdGciUymqRd5qRWdY/DgwRQUFFBUVITdbmfbtm1kZma2Oa62tpaDBw+22mez2Th69CgNDQ1IKdm3bx9paWldlkGePQmA6Nvf4/s41kH8jQsjx+G4EJFRmGY/CZYQ5OZP0bas87dIAUGHFpyWAWeAO+CsX7/myPZhw4a5Xw8dOrSV9j9y5EiKirrQ5LInsSZBXi6ytAgxeHj7xzgDjIWHfl+FIhB4MfUmTg+wsrzRjOchnIpgxGw2M2vWLBYtWoSmaUydOpX09HTWrdN/VF2NaLdv384VV1xBeHizAjF06FCuvvpqnnzyScxmMwMHDmxlpek0zgBjuhFgXG/XsJgEQxIvnV59mVXff6S0Dq0d95xREP0HI+6djfzDr5HvvIq0JiFGjvO3WIamQwWnvYCzo0ePXvT4DRs2MG6cMT90kah3Fb+kBcf55NCd/1gKhdFJaaxEs9sJCxnkb1EUBmT8+PGMH986Psul2Li44YYbuOGGG9qMnTFjBjNmzOjW9d0WnG48aM6emMp/X5nS4XG2SAuJERbK6uycLq8jyuMr9jym625EK8xHfvpntNdexPTki4g09Vt1MTpUcLoScLZ//342btzIc88912VBLhVw5i1q+w+kGgivrSL2IucvLjiNBiSOHmeY4CqjyAHGkkXhOU/lfQAlhZiyX/e3KApFK6SUzTVw0jx3UQGEmDtuRSKEYJgtnM9P17D/XDVXJRs7Lk3ccb9eG2fHv9GW/w+m+UsR8Yn+FsuQdKjgdDbgLC8vj9dff5358+cTExPTZUEuFXDmLWS4rpvXnT1NYzvnl3W1aEUFYAmhPDSCJLvdEMFVRgnyAuPI4knAmaIF7iDj3pNIqQgQykqgrhZi4hCxntXQqbdrhJoFpos8jF/IZbYIPj9dQ0FlPSQb2YaDnlH2/UeR5SVw7Cu0Xy3E9PjPEdGx/hbNcHS4urUMOEtMTGTbtm3MmTOn1TElJSUsXbqURx55xNg/PK5U8bKLuKhcdRf6piNUdkmvwdMswZKSElasWEFFRQVCCKZPn87NN98MwHvvvcc///lPdzbJ3Xff3cbk71c0l4KjgowVBsMVJtCNAOP/3VvCZ0cr+H+ZyUwbHN/h8VmD48kaEs/AvimGeIDrCBEahumHT6O9NA/OnERb9gymx36OiIr2t2iGokMFpzMBZ++//z41NTW88cYb7jGLFy8G4JVXXuHgwYNUV1cze/ZsZsyYwde+9rUevKVLkOh0rZS1P4GlCjDudbiyBBcsWIDVamX+/PlkZma2CqJ3ZQlGR0eze/duVq5cyQsvvIDZbOb+++8nIyODuro65s2bx+WXX+4ee8stt3D77bf769YuyQOjfkiNOZw37Cbi/C2MQtGC5grGAz0+R2FNE3V2jbjwzlkoo8MC74FWxMRhevznaEueglPH0V55FtPc5xCRxrZA+ZJOffsdBZzNnj2b2bNntzv2xz/+sefSeZvoWAgJhbrzyLpavVt4S9wBxgN9LZnCT3QnSzAhIcHtro2IiCAtLY2ysrJWY41KgymERnMoJmWpVBgN1zrcjeDZedenUV5nJzKkaxZKTUoq6uzERwSG61bEW5uVnJNHdSXn0YXKkuMkML5FLyGE0N1UhWd1K84FAWyuGjjdeXJQBBbeyhIsKirixIkTDBnS3N7js88+Y/PmzWRkZPC9733PXe21Jb4Irm8Ph9AX/qQUG9GxbX33RgkmV3L0PtwWnG64qAASuqikHC2tY/HaHFKjLSya3r1r+xKRmITpJ4t0JefEEbSX5mF69FmEKySjF9OrFBxAd1MVntXjcFooOFLKFhYclXbXW/BGlmB9fT0vv/wyM2fOJDJStwpmZWVx1113AbBmzRreeustHn64bfVRXwTXt4dLwamsqqK+sbHNfqMEkys52mLoOMduIu12OHdaf+NhBpWU8qL/hy9F35hQquqbsAhJg10jzBI48WnCmozpp79Ae2Uh5J9C+8VPMf14Ya9PIQ+cb9BLuLRaeWGgcVlxtyP3FYFHV7MEn3jiiVZZgna7nZdffpnJkydz1VVXubfHx8djMpkwmUxMmzaNY8eO9eyNdBGXgmNWWVQKI1FcAHY7WJMR4ZEdH98Oq3cV8YO/Hufz09VdGhcVauYP947ntdszAkq5cSESkzA9uRiGjISKUrSX5iG/2utvsfxK4H2L3eVigcaqRUOvpDNl6S+WJSil5LXXXiMtLY1bb7211Zjy8nL36+3bt5Oent6zN9IFNIcDTeixNyaVRaUwEN5olbO/qJb86kbCOlED50L6J0R4ZP0xCiIqBtPc/4FxV0PtebRlz6Ct+6BdS3VvoPc9vl0kVdwblTMVgUd3sgQPHz7M5s2b6d+/P0888QTQnA7+zjvvcPLkSYQQJCUl8eCDD/rtHi/E4ayBY9YcmDzo0qxQ9Bjuddgz18rZqkaOlTUQGWJidIpnFiCA0tomQkyC2E5mYRkJERqGafaTyLV/RP79feSfVsOJo/BfP0KEX7ptRbAReN9eNxGJSUjacVEVOP2+fY3zpK3wDZ5mCQ4fPpz33nuv3XP+6Ec/8q6QXsRhdyo4UvOzJApFa1wBxp7WwNni7CB+dXo0oR5aJ9/bX8K7X5Zw7xU2vj06MAPLhcmM+Nb3kAOHoP3+V8gd/0aezcP0wGOI/oP9LZ7P6H2Pbxez4OTrCo7ooxQcRXDTrOA4/CyJQnEBLguOBy4qKSWbnArO9QM9r+40KD4cCWw52bUYHiMixk/C9PTL0CcdCk6jvfAE2id/Qmq94/9+71NwEpwaeXkpUtOfYKWmwbkz+nal4CiCHIfdDoCZ3umXVxgT2dQENVVgNkNK1zPFjpc3kF/dSFy4mcu74Z4a2yeK6FATeZUN5FU0eHweoyD69MP09C8RU28Bhx35wdtoL81Hun7zgphep+CIsDC94J/DDlUV+sayYmhsgLgEVSBJEfQ4HLqCY1IuKoWBECEhmH71v5h+8QbCEtLl8Zud1pvr+sdgNnkeKBxiFkzqr2dK/u1weQdHBwYiLAzTPQ9h+vH/QHyi3sNq4Ry0D95GNgS+Encxep2CA7R1U7nib5T1RtELcNh1xcaiFByFwRBCIBKsHR94AZqU7vibyQO733Tym8MTMQn4x7EKTlcGjwIgRo3DtPDXiMlZujXnkz+hPftD5K5tQZlppRQcQBa44m+MX2JfoeguQnOQfv4cfRuD4+lUoThYVEdpnZ3kqBCG27qfKdQvLowbB8ejSXh7z0WaMwcoIioG0/cewTTvJUgfBKVFaL9djPbik8gj+/0tnlfplQqOsLqK/Tlr4eS7LDiBU55bofCUxBDJr3J+yXN57/tbFIXCK7jcU5MHxHitjs3dl9sItwj+c6aGA0W1XjmnkRCDh+uxOfc8BDFxuttqyVM4lj+HPH7Y3+J5hV6p4LgDjV0WHGewlVAp4oregMPpmlKNNhVBQJNDsu2UK3uq++4pFwkRFrJHJALw5q6ioHThCLMZ09RbML3wOuK2uyEsAvbtQPvFEziWPo3cvyug77t3Kjgt2jVIKVtYcJSLStELcAYZY1IKjiLw+c+ZaqobNQbEhzEwIdyr5/7miETiw80cKa1nWxdbPwQSIjwS0+13Y/rFSsQ37oKISDi8D+1XCyn78f1o//oEWR94VqxeV+gPQCTa9ATZshKoLIO68xAVAzHxfpZMoeh5jlfZ+en1L5DRWMISfwujUHSTa/vHICb3JTrU+wp7ZIiZ746x8VpOIb/fWcSopEjiu9ilPJAQMXF6gcCb7kRu+hS5/kPsp47DH19Dvv8HxNVTEJOmwaDLAqKlRfB+U5fC2iLIuMBV/6ZfQHxhCkV3cdg17CaLu+GmQhHICCG4tr/3XFMXkjUkng3HKzlSWs/KHYX8dHJaj13LKIjIKMQ37kTeeDsxR/dT+dEaOHpQV3o2fQrJfRFX34CYMBmRatzPo3cqOLEJYLZAdSUyLxdQFYwVvYchEQ7WbHoKLWMYcL2/xVEoPOJAYS0xYWb6x4f16HXMJsHTU/qxckchD05I6dFrGQ1hCSF88o3UjBiHPJuH/Pd65PZNUJSP/Ou7yL++C337I8ZdjRh3NaRnIAzU365XKjjCZNKLHZUWIQ/u0TcqBUfRSxDSQYh0gDJYKgKUuiaNX27Lp7zOzqIb+zMiyfPKxZ0hPsLSKyw3l0KkDUB857+Rd82EQ18i/7MJuXc75J9C5p9C/u09iIlDjBoHo8Yjhl+OiE/0q8y9UsEBdDdVaREcPQAoC46iF+HsJq6yqBSBikQyIS2a3LJ6LrP6tkO2JiVv7irifJPG/8tMIdxiHIuFLxBmM4wejxg9Hmm3w5F9yF2fI/ftgLIS5Bf/gi/+pce5JvdFDBsNQ0YiMoZBSl+fhoL0WgXH1VUcZ18eZcFR9BYOV0l+P+5hLgup4wF/C6NQeEBkiJnZE1NpcmjdasvgCYeL6/j70QoEcMeIRPrF9ayLzMgIiwVGjkOMHKdnJBec1lPLD+6G3K90V1ZRPmxZp//eRkbDoKGI/oMR/TOgfwbYUnvMrdVrFRx3NWPQc/8Tbf6TRaHwIdVNGofjBhLVmO9vURSKTlNVb+f1HYU8cGUKCc5MphCz760nI5IjWfL1ARRUN7mVmwa7hl2TRPVAJlegIITQ43H69oesbKTDAaeOIY/sR+Z+BSeO6FnLB3YjD+xubvUbFg6p/fRxfdMRKWl6s9WkPoiQrvcka0nvVXASWig0KoNK0YuwO/SlpfcuxYpAQpOSrXnVvP1lMYU1TTQ5JE9N8W/NsoEJ4a1q7nx6tIL/21fCTUPjuW14IolBnEreWYTZrKeTD7oMvo5u4SkvgRNHkaeOI08fh1PHdaUnL9ed8ONWfIQJho7A/MQvPJah134Lwprk/iBVD6rezZ49e1i9ejWapjFt2jSys7Nb7d+yZQsffvghAOHh4TzwwAMMHDjwkmNrampYtmwZxcXFJCUlMXfuXKKjjdGpXtP0SsZmEbgVShXBjyYlO8+e5497izlRrje8HJQQxkMGzGQ6VlZPbZPGXw6WsfZQGSOSIshMi2ZCWjT9YkPVAzROC09iEiQmIa6c5N4uz1fD2VN6T8iC08jCfCg8q8fIetBVviW9VsFp5aJSPah6LZqmsWrVKhYsWIDVamX+/PlkZmbSr1+z0pucnMzChQuJjo5m9+7drFy5khdeeOGSY9euXcuYMWPIzs5m7dq1rF27lvvuu8+Pd9qM3angWNSaqzAYdk2yv7CWL05X858zNZTV6TGS1ggL373cxtcy4rD4OOamMzx2bV9uGZbAXw6WknOmhgNFdRwoquMPu4uJCTUxKCGcQQlh9I8PIykqhJSoEFJjQv0ttiEQUTFw2SjEZaNabZf2JqjrXvVkpeCgLDi9mdzcXFJTU0lJ0Z8KJ02aRE5OTisFZ9iwYe7XQ4cOpbS0tMOxOTk5LFy4EIApU6awcOHCTik4O87WICvKoKK0w2NDBFwR43C//7LaTJOEy6MdhDpDE3JrTVTYW/8gHCuqAeJ6aZ8WhVF5ev0pjpbU0eBotiwmRVq4bXgi37gsnlA/xNt0hWG2COZf34+aRgd7Cs6Tc7aG3fnnqWxwsLewlr2FzT/W6XGh/ObWDEB33Ty57hSRISaendocLvHhoTKqGxyEmAUWk/7PbAKzEJhNApMAk9D/CsBiElw7oLng4Z6C89Q1aVzRJ5LIEN0hfaysnpLaJqB1lQhxQc2IlganybHx7tfHy+opq7MzKCEMa6RuXSmsaeR0ZWOXPqv2xidHh9DfGdNU3eDgTGUTI5LjunTeC+m1Co6IiITIKKg9D6rJZq+lrKwMq9Xqfm+1Wjl69OhFj9+wYQPjxo3rcGxlZSUJCQkAJCQkUFVV1Sl5nv+Xs7I2Hae+JjRUserzn7vfv3LNAsrDYnlj289JbNSv93+jZ7LDNvKCkXo9j5Jz+axbt46srCxyc3OZN2+e+4iQkBCampqYM2cO119/Pfv373crbC158sknmTBhAjk5Obz44ott9i9cuJDRo0ezefNmli9f3mb/4sWLGTJkCOvWrWPlypVt9r/99ttERETw4Ycf8vbbb7fZv3LlShITE1mzZg1/+tOfLjr+zTff5OOPP26z//339Y7qr732GuvXr2+1Lzw8nHfeeQeAF154gXXr1rXan5CQwO9+9zsAfvGLX7Bz585W+/v06cOvf/1rAJ555hkOHjzYan9GRgYvvfQSAD/96U85fvx4q/0jR47kueeeayNzsLLfpQBUFWLKP8T1g638OPsu6uvruec7M9oc/+1vf5vvfOc7lJWV8eCDD7bZf//99/PNb36Ts2fP8uijj7bZ/+CDD7aZ+655D3hl7v/4mlF8snErq/7yd2RcH2S0DSLjOJNXRu5wjSFDhvDxZ+s5XJoO9ka+/e25bjliZvwPhbVapz8/7I2EfNQ8X5K+t5j8ajvTmvaw+WN9ntuvvAvZf2znzwlc/8kHfP7Zh63Gxxz6hHd+/hgAi95cS17C5V06Z+qpTbw+/yEAnn71XYrTrsaUuw3zvk8A6H/lFEzjbmPpTQO7dN4L6bUKDoD49iwoKYSkPv4WReEn2uuUezF/+f79+9m4caP7R6crYy/G+vXr3T+sixcvxlR0lHgkiSb93GFhYYSHhwOSysrWSlJEUy3FKemkpfWjsbGRfmXHsIZE8lWTJNKuP7H14TxXNp1D0zSqq5ubBZo0O3UndxA75W5sNhulpaWEtMhYEEIQEhJCXFwcNpuNhISEVvtdxMfHY7PZiI+Pb3d/QkICNpuNuLi4S+6PjY1td7/FYrnk/sTERGw2GzExMe3ut1qtREZGEh0d3e5+m01PNoiMjGyzPyQkxL3fZDK12R8aGureHxER0WZ/WFhYp/eHhYW12R8REeHe3xswf/EOovQUolFXdBIG3xrwsStCCGIsGqZzh+Hc4dY7Z1wFgEVIzJteB1Pr739avxBEeAz7Dh1m/4GDYDKBMIPJjBSCa6+9DktoKCdP5pF36hTI1srQmKQI0uMklhPN20VlARSEAYLMzCsBOJl3ipKS4pZSYzKZGDt2rC5f7gXjz0Vgbjjv3hZmr0VccG9hYeGMGqU/WB05cpSamtaNSi1NzdaskMYafXx1swxmRyPDkrpf30hIg/ZCz8/3fwqrzWajpKTE32IYRg4wjix9+/b1ynmOHDnCn/70J55++mkAPvjgAwDuuOOOVsfl5eWxdOlS5s+f7772pcY++uijLFy4kISEBMrLy1m4cCG/+tWvOpTHCPMejPM9Kzna4q25bzSMMPeN8j0bRQ4wjiyezHtjOzUVih5m8ODBFBQUUFRUhN1uZ9u2bWRmZrY6pqSkhKVLl/LII4+0+k92qbGZmZls2rQJgE2bNjFhwgTf3ZRCoVAoereLSqEwm83MmjWLRYsWoWkaU6dOJT093R1vkZWVxfvvv09NTQ1vvPGGe8zixYsvOhYgOzubZcuWsWHDBmw2G4899pjf7lGhUCh6I8pFdQmMYpozihxgHFmUmb5nMcr3rORoi5r7PYdRvmejyAHGkUW5qBQKhUKhUCjopIuqJyq9KhQKhcKYdLRu//Wvf2XLli2AXizzzJkzrFq1iujoaM6fP89rr73G6dOnEULwgx/8gMsuu8wPd6Ho7XSo4PRUpVeFQqFQGI/OrNu33347t99+OwA7duzgb3/7m7sVyerVqxk7diyPP/44drudhoYGv9yHQtGhi6pltVaLxeKu1tqSYcOGuSf3xSq9XmysQqFQKIxDV9ftrVu3cu211wJQW1vLoUOH+NrXvgbodYyioqJ8IrdCcSEdWnB6qtLrhVxY8MwIBa5cRcb8jVHkAGPJolAovE9X1u2Ghgb27NnDf//3fwNQVFREbGwsr776Knl5eWRkZDBz5kxnscrWqDXf+HKAsWTpKh0qOL6q9Dp9+nSmT5/ufh8aaoxGZEqOthhJlmDDSBkyRpFFyeFburJu79y5s5UF3+FwcOLECWbNmsXQoUNZvXo1a9eu5bvf/W6bsWrNvzRGkQOMJUtX6NBFZbVa3S4ngNLSUnePnZbk5eXx+uuv88QTTxATE9OlsRfSsieOP1FytMUoshhFDm9ipHsyiixKjrb0tCxdWbe3bt3Kdddd12qs1Wpl6NChAFx99dWcOHGiw2sa5fNVcrTFKLJ4IkeHCk5PVXpVKBQKhfHo7LpdW1vLwYMHW+2Lj4/HarW6a9rs27dPJZUo/EaHLqqeqvSqUCgUCuPRmTUfYPv27VxxxRVt4mtmzZrF8uXLsdvtJCcn8/DDD/v8HhQKAKQB+cc//uFvEaSUSo72MIosRpHDmxjpnowii5KjLUaSxVsY5Z6UHG0xiiyeyGHYVg0KhUKhUCgUnqJaNSgUCoVCoQg6DNVN3J9tHV599VV27dpFXFwcL7/8MgA1NTUsW7aM4uJikpKSmDt3rjsdsqcoKSlhxYoVVFRUIIRg+vTp3HzzzT6XpbGxkWeffRa73Y7D4eDqq69mxowZfvlMQK+uOm/ePBITE5k3b57f5Ogp/DX31bxvi5r7vkOt+caZ+0E5773uKPMQh8MhH3nkEXnu3DnZ1NQkf/KTn8jTp0/77PoHDhyQx44dk4899ph729tvvy0/+OADKaWUH3zwgXz77bd7XI6ysjJ57NgxKaWUtbW1cs6cOfL06dM+l0XTNFlXVyellLKpqUnOnz9fHj582C+fiZRSfvTRR/KVV16Rv/jFL6SU/vluegp/zn0179ui5r5vUGu+jlHmfjDOe8O4qPzd1mHkyJFttMGcnBymTJkCwJQpU3wiT0JCAhkZGQBERESQlpZGWVmZz2URQrizIxwOBw6HAyGEXz6T0tJSdu3axbRp09zb/CFHT+HPua/mfVvU3PcNas3XMcrcD8Z5bxgXVVdbQviCyspKd4GrhIQEqqqqfHr9oqIiTpw4wZAhQ/wii6ZpPPnkk5w7d46vf/3rDB061C9yvPnmm9x3333U1dW5t/n7u/EmRpv7/v5s/T3vQc19X2C0eQ/+/2z9PfeDbd4bxoIju1AevDdQX1/Pyy+/zMyZM4mMjPSLDCaTiSVLlvDaa69x7NgxTp065XMZdu7cSVxcnPsJJxhRc78ZI8x7UHPfF6h53xojzP1gm/eGseB42tahJ4mLi6O8vJyEhATKy8uJjY31yXXtdjsvv/wykydP5qqrrvKrLABRUVGMHDmSPXv2+FyOw4cPs2PHDnbv3k1jYyN1dXUsX77cr5+HtzHa3Ffzvhk193sOo817UHPfRbDMe8NYcIzY1iEzM5NNmzYBsGnTJiZMmNDj15RS8tprr5GWlsatt97qN1mqqqo4f/48oEfX79u3j7S0NJ/Lcc899/Daa6+xYsUKfvzjHzN69GjmzJnjl++mpzDa3O/N8x7U3PcVRpv30LvnfjDOe0MV+tu1axd/+MMf3OXBv/Wtb/ns2q+88goHDx6kurqauLg4ZsyYwYQJE1i2bBklJSXYbDYee+yxHk+P++qrr3jmmWfo37+/21x79913M3ToUJ/KkpeXx4oVK9A0DSkl11xzDXfddRfV1dU+/0xcHDhwgI8++oh58+b5VY6ewF9zX837tqi57zvUmm+cuR+M895QCo5CoVAoFAqFNzCMi0qhUCgUCoXCWygFR6FQKBQKRdChFByFQqFQKBRBh1JwFAqFQqFQBB1KwVEoFAqFQhF0KAVHoVAoFApF0KEUHIVCoVAoFEGHUnAUCoVCoVAEHf8fGGGRGkdjiTwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate figure\n", "fig = plot_irfs([sol_ref, psol, psol_ies], **plot_kwargs)\n", "fig.suptitle('RMT4 Figure 11.9.2', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the figure above the solid red line represents the experiment when $\\gamma=2.0$, the dash-dotted blue line tracks the equilibrium in the experiment when $\\gamma=0.2$, and the black dashed line tracks the steady state.\n", "\n", "Notice that because the household is more willing to move consumption across time when $\\gamma$ is smaller, the movement from initial to final levels of consumption is both larger and quicker. This lets the consumption stream \"swallow\" most of the impact of the increase in $g$ and capital doesn't respond as much (think about the household budget constraint). Factor prices and $\\bar{R}$ are functions of the captial stock, so they also do not respond as sharply." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prices and interest rates (RMT3 Figure 11.9.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will now return to the case where $\\gamma=2.0$ and take a closer look at prices and interest rates in this economy.\n", "\n", "We say that $R_{t,t+1}$ is the gross one period interest rate between $t$ and $t+1$. In equilibrium it can be written:\n", "\n", "$$R_{t,t+1}= \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]$$.\n", "\n", "We define $r_{t,t+1} := R_{t,t+1} - 1$ as the corresponding net interest rate.\n", "\n", "Finally we define $r_{t,t+s}$ to be the net $s$ period interest rate between periods $t$ and $t+s$. It is defined as\n", "\n", "$$r_{t,t+s} = \\frac{1}{s} \\left(r_{t,t+1} + r_{t+1,t+2} + \\cdots + r_{t+s-1,t+s} \\right) = - \\frac{1}{s} \\log \\left(\\frac{q_{t+s}}{q_t}\\right).$$\n", "\n", "A plot of $r_{t,t+s}$ as $s$ increases is called the real yield curve at $t$. Below we will plot the yield curve at $t=0,10,60$.\n", "\n", "Let's construct each of those objects now." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# reset gamma\n", "model.set_calibration(gamma=2.0)\n", "\n", "\n", "# helper function to make it easier to add variables\n", "def add_variable(name, formula, dfs=[sol, sol_ref]):\n", " for df in dfs:\n", " df[name] = model.eval_formula(formula, dataframe=df)\n", "\n", "# this define new (constant) variables\n", "sol[\"c0\"] = sol[\"c\"][0]\n", "sol_ref[\"c0\"] = sol_ref[\"c\"][0]\n", "# this is why they are referred to with time subscripts in the following formulas\n", "\n", "add_variable(\"q\", \"beta**(t+1)*c(0)**(-gamma)/(c0(0)**(-gamma))\")\n", "add_variable(\"qbar\", \"beta**t\")\n", "add_variable(\"R\", \"(1-tau_k(1)) * (alpha*A*k(1)**(alpha-1) - delta) + 1\")\n", "add_variable(\"r\", \"R(0)-1\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# now construct yield curve at t=0, t=10, t=60\n", "s = np.arange(p_T)\n", "nans = np.ones(sol.shape[0]-p_T)*np.nan\n", "q = np.array(sol[\"q\"])\n", "for t in [0, 10, 60]:\n", " rs = np.log(q[s+t]/q[t]) /(-s)\n", " # pad the array with NaN so we can add as a column to df\n", " sol[\"rs_{0}\".format(t)] = np.concatenate([rs, nans])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are ready to construct the plot we are after." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# note, this is a little hack to make it so we can use the\n", "# handy `plot_irf` functions to get the yield curve at t=0 and t=60\n", "sol_ref[\"rs_0\"] = sol[\"rs_60\"]\n", "\n", "# now construct figure\n", "fig = plot_irfs([sol_ref, sol], variables=[\"c\", \"q\", \"r\", \"rs_0\", \"g\"],\n", " line_options=plot_kwargs[\"line_options\"],\n", " titles=[\"c\", \"q\", r\"$r_{t,t+1}$\", r\"$r_{t,t+s}$\", \"g\"]);\n", "\n", "# add in the t=10 yeild curve and a title\n", "sol[\"rs_10\"][:p_T].plot(ax=fig.axes[3], **plot_kwargs[\"line_options\"][2])\n", "fig.suptitle('RMT4 Figure 11.9.3', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Consumption tax shocks (RMT 3 Figure 11.3.4)\n", "\n", "Now let's consider the second experiment: a once-and-for-all increase in $\\tau_c$ from 0 to 0.2 in period 10." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[33mUserWarning\u001b[0m:/home/pablo/.local/opt/miniconda/lib/python3.8/site-packages/dolo/algos/perfect_foresight.py:142\n", " `shocks` argument is deprecated. Use `exogenous` instead.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol2 = pf.deterministic_solve(model, shocks=shocks_2, \n", " T=T, ignore_constraints=True)\n", "sol2[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol2)\n", "psol2 = sol2.iloc[:p_T]\n", "\n", "fig = plot_irfs([sol_ref, psol2], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"tau_c\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", r\"$\\tau_c$\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.4', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Capital tax shocks (RMT 3 Figure 11.9.5)\n", "\n", "Next, we turn to the third experiment: a once-and-for-all increase in $\\tau_k$ from 0 to 0.2 in period 10" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n", "(102, 4)\n", "(102, 3)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol3 = pf.deterministic_solve(model, shocks=shocks_3, \n", " T=T, ignore_constraints=True)\n", "sol3[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol3)\n", "psol3 = sol3.iloc[:p_T]\n", "\n", "# here we also want to look at the impact of changing the ies\n", "model.set_calibration(gamma=0.2)\n", "sol3_ies = pf.deterministic_solve(model, shocks=shocks_3, \n", " T=T, ignore_constraints=True)\n", "sol3_ies[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol3_ies)\n", "psol3_ies = sol3_ies.iloc[:p_T]\n", "model.set_calibration(gamma=2.0) # reset gamma\n", "\n", "fig = plot_irfs([sol_ref, psol3, psol3_ies], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"tau_k\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", r\"$\\tau_k$\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.5', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Impulse shock to g (RMT 3 Figure 11.9.6)\n", "\n", "Finally, we turn to the fourth experiment: a one-time shock to $g$ from 0.2 to 0.4 in period 10, then back to 0.2 forever." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(102, 4)\n", "(102, 3)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol4 = pf.deterministic_solve(model, shocks=shocks_4, \n", " T=T, ignore_constraints=True)\n", "sol4[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol4)\n", "psol4 = sol4.iloc[:p_T]\n", "\n", "fig = plot_irfs([sol_ref, psol4], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"g\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", \"g\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.6', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }