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Income and Wealth
{
"metadata": {
"language": "Julia",
"name": "Income and Wealth"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": "Income And Wealth Distributions in Learning Models with Habits"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Required packages for this notebook:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "using PyPlot",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Loading help data..."
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\n"
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This notebook generates a wealth distribution from an income distribution in which at some point in time the distribution of idiosyncratic income growth rates changes. Agents in the model economy have to learn about this change in their income profiles in a Bayesian fashion and adjustment of consumption plans to news about income may further be slowed down through the presence of consumption habits. \n\nFor an overview of what this project is about, check out the accompanying slides [here](http://webspace.qmul.ac.uk/ngudat/Gudat2014.html).\n\nThe model that forms the basis of the paper is the following: Agents solve\n\n$$ \\max_{c_{it}} \\sum_{t=1}^{T} \\left( \\frac{c_{it} h_{it}^{-\\gamma}}{1-\\sigma} \\right)^{1-\\sigma} $$\n\nsubject to\n\n$$ w_{i,t+1} = (1 + r) w_{it} + y_{it} - c_{it} $$\n$$ h_{i,t+1} = (1-\\lambda)h_{it} + \\lambda c_{it} $$\n\nwhere income $y_{it}$ is given by \n\n$$ y_{it} = \\alpha_{i} + \\beta_{it}t + z_{it} + \\varepsilon_{it} $$\n$$ z_{it} = \\rho z_{i,t-1} + \\eta_{i,t-1} $$\n"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "$\\beta_{it}$ is the deterministic income growth rate that varies across the population and is unknown to the individual. $\\alpha_i$ is the income intercept and $z_{it}$ is a persistent shock; in order to forecast its own income the household has to form beliefs about all three of these components. The forecast is based on a Bayesian learning procedure in which households start with some initial beliefs on their own state $(\\hat{\\alpha}_{it}, \\hat{\\beta}_{it}, \\hat{z}_{it})'$ that then get updated every period after observing the actual income realization $y_{it}$. The problem of the household hence can be seen as a Kalman Filtering problem, if we cast the problem in state space representation. Then, the updating is done according to:\n\n$$ \\hat{S}^i_{t|t} = \\hat{S}^i_{t|t-1} + P_{t|t-1} H_t [H_t' P_{t|t-1} H_t + R]^{-1}(y_t^i - H_t' \\hat{S}^i_{t|t-1}) $$\n$$\\hat{S}^i_{t+1|t} = F \\hat{S}^i_{t|t}$$\n\nWhere $\\hat{S}^i_{t|t}$ is the $(3x1)$ vector of beliefs about the current state at time $t$, after observing income in period $t$, $P_{t|t}$ is the matrix of posterior variances and covariances of the belief vector, $H_t$ is just $(0, t, 0)'$, $R$ is the variance of the transitory shock and $F$ is the transition matrix of the state space equation (which basically is a diagonal matrix with 1, 1, $\\rho$ on the diagonal)."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The whole problem can be expressed as a Bellman equation:\n\n$$ V_t(w_t,h_t,y_t^i,\\hat{S}^i_{t|t-1}) = \\max_{\\{c_t^i, w_{t+1}^i\\}} \\left\\{ u(c_t,h_t) + \\mathbb{E}_t \\left[ V_{t+1}(w_{t+1},h_{t+1},y_{t+1}^i,\\hat{S}^i_{t+1|t}|\\hat{S}^i_{t|t-1}) \\right] \\right\\}$$\n\nwhere the state variables are assets $w_t$, the habit stock $h_t$, current income $y_{ti}$, and the current $belief$ (importantly, these are not the actual realizations of the variables underlying the income process!) about the income process. \nLet us start solving the problem by setting some initial parameters and then generating an income distribution that underlies our economy."
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Parameters"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The most basic parameters of our model are:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "tol = 1e-9 # Tolerance Level for Iterations\nT = 40 # Number of working life periods\nr = 0.015 # Real interest rate\nR = 1 + r # Handy for notation\nbeta = 0.966 # Discount factor (Note: 1/beta = 1.035)\ngamma = 0.8 # Strenght of habits (gamma=0 --> no habits, gamma=1 --> only relative consumption matters)\nlambda = 0.8 # Persistence of habits (lambda=0 --> no persistence)\nsigma = 2 # Coefficient of relative risk aversion\nagents = 100 # Number of agents sharing an alpha/beta combination\nabpairs = 1000 # Different alpha/beta combinations in the population;",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": "1000"
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Next, we need some basic parameters for the income processes to generate our distribution. These are:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "mu_a = 2 # Mean of the income intercept\nmu_b = 0.009 # Mean of income growth rates\nvar_a = 0.005 # Cross-sectional variance of alpha\nvar_b = 0.00037 # Cross-sectional variance of beta\nvar_eta = 0.029 # Variance of persistent shock\nvar_eps = 0.047 # Variance of transitory shock\nrho = 0.82 # Persistence of AR(1) component of income\nFPU = 0.65 # Lambda\ncorrab = -0.25 # Correlation between alpha and beta;",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": "We also have to specify the initial beliefs of agents. They are crucial in shaping decisions in the first few periods of working life and determine how quickly the posterior variances of agents' beliefs converge."
},
{
"cell_type": "code",
"collapsed": false,
"input": "init_a = 2 # Initial belief on alpha\ninit_b = 0.05 # Initial belief on beta\ninit_z = 0 # Initial belief on z\ninit_var_a = 0.02 # Initial belief on variance of alpha\ninit_var_b = 0.03 # Initial belief on variance of beta\ninit_cov_ab = 0 # Initial belief on covariance of alpha and beta\ninit_var_z = 0.01 # Initial belief on variance of z;",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Finally, as we will be solving the model on a grid, we have to set the number of gridpoints we want to employ for each state variable. In a working paper version ([Guvenen 2007](http://www.minneapolisfed.org/research/DP/DP145.pdf)), Guvenen recommends using 12 grid points for wealth, more densely spaced near the borrowing constraint, as well as 8 grid points for income. For the belief grid we will follow a special procedure, which requires 21 grid points, and for habits we will employ 11 grid points."
},
{
"cell_type": "code",
"collapsed": false,
"input": "wgridpoints = 12\nygridpoints = 8\nhgridpoints = 11\nSgridpoints = 21;",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Income Distribution"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The basis of our income distribution is formed by the combinations of $(\\alpha, \\beta)$ that we have to draw:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "alpha = zeros(abpairs)\nbeta = zeros(abpairs)\nfor i = 1:abpairs\n alpha[i] = mu_a + sqrt(var_a)*randn()\n beta[i] = mu_b + sqrt(var_b)*randn()\nend",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": "To facilitate the analysis later on, it might make sense to sort the $\\beta_i$'s in ascending order; this way we can easily look at percentiles by slicing the vector appropriately:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "sort!(beta);",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The draw gives us the following population frequencies of $\\alpha$ and $\\beta$:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig = figure(figsize=(6,6))\nsubplot(211)\nha = PyPlot.plt.hist(alpha , 100) # Histogram, PyPlot.plt required to differentiate with conflicting hist command\ntitle(L\"Distribution of $\\alpha_i$\")\nxlabel(L\"$\\alpha_i$\")\nylabel(\"Count\")\nsubplot(212)\nhb = PyPlot.plt.hist(beta, 100) \ntitle(L\"Distribution of $\\beta_i$\")\nxlabel(L\"$\\beta_i$\")\nylabel(\"Count\")",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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",
"text": "Figure(PyObject <matplotlib.figure.Figure object at 0x0000000020635908>)"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": "PyObject <matplotlib.text.Text object at 0x0000000028782710>"
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "alpha = reshape(repmat(alpha,1,100)', agents*abpairs, 1)\nbeta = reshape(repmat(beta,1,100)', agents*abpairs, 1);",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Then, we can simulate the income processes for all agents by drawing an AR(1) process from "
},
{
"cell_type": "code",
"collapsed": false,
"input": "yit = zeros(abpairs*agents, T)\nz = zeros(abpairs*agents, T)\n\nfor t = 1:T\n for i = 1:abpairs*agents\n \n yit[i, t] = exp(alpha[i] + beta[i]*t + z[t] + sqrt(var_eps)*randn()) \n \n if t < T\n z[i, t+1] = rho*z[i, t] + sqrt(var_eta)*randn()\n end\n end\nend",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The resulting income distribution looks as follows:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "for i in [1:20000:100000]\n PyPlot.plot([1:T], yit[i,:]', label = i)\nend\nPyPlot.legend(loc = 0)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": "Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028492D68>)"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": "PyObject <matplotlib.legend.Legend object at 0x0000000028F8D1D0>"
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Beliefs"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "With the income distribution in hand, we can move on to calculating each agent's beliefs about their own income process at each period in time. These beliefs will then be the input to the value function. \nStart by defining the matrices required for the state space representation:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "F = [1 0 0; 0 1 0; 0 0 rho]\nH = ones(3, T)\nH[2, :] = [1:T]\nQ = [0 0 0; 0 0 0; 0 0 var_eta]\nR = var_eps;",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": "0.047"
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The matrices of initial beliefs are:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "S_0 = repmat([init_a; init_b; init_z], 1, agents*abpairs)\ncovab = sqrt(var_a*(1-FPU)*var_b)*corrab\nP_0 = [var_a covab 0; covab (1-FPU)*var_b 0; 0 0 var_eta];",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Let's use a random agent to show what is going on in the learning process. The following graph shows the income history for agent 50,000 and decomposes it into the deterministic part $\\alpha^i_t + \\beta^i_t t$, the persistent shock $z^i_t$ and the transitory shock $\\varepsilon^i_t$. The agent's task is then, using the Kalman Filter, to deduce slope and intercept of the green line and get an estimate of the state of the persistent shock (although "
},
{
"cell_type": "code",
"collapsed": false,
"input": "PyPlot.plot([1:40], log(yit[50000, :]'), label = L\"$\\log(y^i_t)$\")\nPyPlot.plot([1:40], [alpha[50000] + i*beta[50000] for i in [1:40]], label = L\"$\\alpha^i_t + \\beta^i_t$\")\nPyPlot.plot([1:40], z[50000, :]', label = L\"$z^i_t$\")\nPyPlot.plot([1:40], log(yit[50000, :]') - [alpha[50000] + i*beta[50000] for i in [1:40]] - z[50000, :]',\nlabel = L\"$\\varepsilon^i_t$\")\nPyPlot.legend(loc=0)\nPyPlot.title(\"Income Realization for Random Agent\");",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": "Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028F92D68>)"
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Our agent starts life with:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "@printf \"Alpha is %f, beta is %f and z is %f\" alpha[50000] beta[50000] z[50000, 1]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Alpha is "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1.904752, beta is 0.008028 and z is 0.000000"
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Initial beliefs are:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "S_0[:,50000]",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": "3-element Array{Float64,1}:\n 2.0 \n 0.05\n 0.0 "
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The variance of initial beliefs is:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "init_alpha = 0.9; \ninit_beta = 0.04; \ninit_z = 0; \ninit_varalpha = 0.02; \ninit_varbeta = 0.01; \ninit_covab = -0.002; \ninit_varz = 0.01\nP_0 = [init_varalpha init_covab 0; init_covab init_varbeta 0; 0 0 init_varz]",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": "3x3 Array{Float64,2}:\n 0.02 -0.002 0.0 \n -0.002 0.01 0.0 \n 0.0 0.0 0.01"
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": "eig(P_0)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": "([0.009614835192865507,0.01,0.020385164807134506],\n3x3 Array{Float64,2}:\n 0.189108 0.0 0.981956\n 0.981956 0.0 -0.189108\n 0.0 1.0 0.0 )"
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": "It turns out that the evolution of the variance-covariance matrix of posterior beliefs is actually deterministic in this framework. The Kalman recursion is\n$$ P_{t|t} = P_{t|t-1} - P_{t|t-1} H_t [ H_t' P_{t|t-1} H_t + R]^{-1} H_t' P_{t|t-1} $$\n$$ P_{t+1|t} = F P_{t|t} F' + Q $$\n\nThat is we have to generate $P_{1|0}$ from P_0 and can then solve forward until retirement."
},
{
"cell_type": "code",
"collapsed": false,
"input": "P = zeros(3, 3)\nPsave = P_0\nP_f = F*P_0*F' + Q\n\nfor t in [1:T]\n P = P_f - P_f * H[:,t] .* (H[:,t]' * P_f * H[:,t] + R).^(-1.0) * H[:,t]' *P_f \n Psave = [Psave P] \n P_f = F*P*F'+Q \nend",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": "P = zeros(3, 3*T)\nP_f2 = zeros(3, 3*(T+1))\nP_f2[:, 1:3] = F*P_0*F' + Q\n\nfor t in [1:T]\n P[:, 1+(t-1)*3:3+(t-1)*3] = P_f2[:, 1+(t-1)*3: 3+(t-1)*3] - P_f2[:, 1+(t-1)*3: 3+(t-1)*3] * H[:, t] .* \n (H[:,t]'*P_f2[:, 1+(t-1)*3: 3+(t-1)*3] * H[:,t] + R).^(-1.0) * H[:,t]' * P_f2[:, 1+(t-1)*3: 3+(t-1)*3] \n P_f2[:, 1+t*3: 3+t*3] = F*P[:, 1+(t-1)*3:3+(t-1)*3]*F' + Q\nend",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": "PyPlot.plt.plot([1:40], Psave[1, [3*i+1 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\alpha}$\")\nPyPlot.plt.plot([1:40], Psave[2, [3*i+2 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\beta}$\")\nPyPlot.plt.plot([1:40], Psave[3, [3*i+3 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{z}$\")\nPyPlot.plt.plot([1:40], P_f2[1, [3*i+1 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\alpha}$\")\nPyPlot.plt.plot([1:40], P_f2[2, [3*i+2 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\beta}$\")\nPyPlot.plt.plot([1:40], P_f2[3, [3*i+3 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{z}$\")\nPyPlot.plt.plot([1:40], P[1, [3*i+1 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\alpha}$\")\nPyPlot.plt.plot([1:40], P[2, [3*i+2 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{\\beta}$\")\nPyPlot.plt.plot([1:40], P[3, [3*i+3 for i in [0:39]]]', label = L\"$\\hat{\\sigma}^2_{z}$\")\nPyPlot.legend(loc=0)\nPyPlot.title(L\"Evolution of $P_{t|t}$\");",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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qyJaQGcCEEEIIIeo+edhLCCGEEELUSRJkhRBCCCFEnSRBVgghhBBC1EkSZIUQQgghRJ0kQVYIIYQQQtRJEmSFEEIIIUSdJEFWCCGEEELUSRJkhRBCCCFEnVQvJ0QQ1bN161bi4+PJzMwkPj6eF154gd69e9d2s4QQQghRz0mQFZXKyclhxYoVzJgxA4DY2FiGDh3KwYMHadKkSS23TgghhBD1mZQWiEodOnSImTNn8ueffwIwePBgbDYb8fHxtdwyIYQQQtR3EmRFpdq3b098fDzBwcEAHDt2DIDQ0NDabJYQQgghhARZAXPmzGHevHkVbu/WrZvj69dff52nn36aiIiIq9E0IYQQQogKSZCt5+bMmUNiYiK//fYb8+fPr3Tfjz76CH9/f954442r1DohhBBCiIpJkK3HPvnkE3Jzc3nvvff44IMPOHnyJEuWLCl339WrV6PVapkxYwZ5eXkcPnz4KrdWCCGEEMKZjFpQj40dOxYXFxfH99OmTSM3N7fMfj/++CNpaWkMHz6c1NRUtm7dip+fHwEBAVezuUIIIYQQTiTI1mMXhtiK1v3555+MHDmSrKwsxzqNRsP58+evePuEEEIIISojQVZUKjg4mIyMjNpuhhBCCCFEGVIjW8/t2bOHUaNG4eHhgVarLbOsXLmytpsohBBCCFEu6ZGtgpwc2L//6l+3ZUswm6/c+ePi4rjtttu45557iImJISkpiSlTpnDfffcxevRoDAYD3bt3v3INEEIIIYS4DBJkq2D/fujY8epfNyEBoqKuzLmTkpIYN24cc+fO5YEHHnCsT0xMJDExkf79+1+ZCwshhBBC1BAJslXQsqUaKmvjulfKc889R7t27ZxCLICvry/btm27chcWQgghhKghEmSrwGy+cj2jtSE9PZ24uLhyZ/NKSkqSYbWEEEIIUSfIw1710IEDBygsLKRLly5O67Ozs9mwYQM333xzLbVMCCGEEKLqJMjWQ15eXgBYrVan9e+++y5NmjTh3nvvrY1mCSGEEEJUiwTZeigsLIwePXqwfv16x7off/yRd955h+XLl2M0GmuxdUIIIYQQVSM1svXU8uXLmThxIvv27aOwsBC9Xs+OHTvw9fUts6+iKLz99tsUFhZiNpvZvXs3s2fPxsXFhcOHD0tNrRBCCCFqhQTZeqphw4YsXbq0Svv+85//JCAggMmTJwPwr3/9i7feeosePXrQsGHDK9lMUQm7PY/CwkyKikoX9fusctapi6LY0WqNaLUmNBoTWm3pcuH3Go2xzDadzhW93huj0Re93guNRj7QEUIIUbskyIpKJSQk8MUXX3D8+HHHutDQUFavXo3FYuHxxx+vxdZdvxRFIS/vGDk5+8nJOVD8up/c3D8pLDxfHEoLKj2HVuuCTufmWPR6N0CHouRht5cu5X1/cToMBh+MxoYYDL6OV4OhIUaj79++bohe74lGo6mR90YIIYQoIUFWVGrDhg3069cPg8HgWKfX69m5cyezZ8+uxZZdH4qKbNhsSWUCa05OEnZ7NgAajRFX11DM5nB8fcdgMHg5BVSdzope71ZmnVZ7af97K4qCohRcEGzzi7/OoaDgDPn5JykoOEVBwSnH1/n5qWRl/Va8/jRgdzqnRqPHaPTDxSWw3MVkaoZWayi/QUIIIUQFJMiKSjVp0gTz3+bJPXToEK1atSIwMJCioiJ0Ol0tta5uyc8/zdmza8nM/IWcnP3YbAfIzT0MKAAYDL6YzS1xc+tEo0Z3YDa3xNU1HBeXwEsOpZdCo9EUlxYYAbdqH68oRRQUnKOgoCTknqKg4CR5ecfJzU3GZvuDc+e+Jz//xAVHaTGZ/CXoCiGEqBYJsqJS48aNY+/evXzwwQeYzWby8vK4//77HT2yY8eOxc/Pr7abeU1SFIXs7N84c2YVZ86sJiNjK6Dg6hqG2dwKX9/bMJvDMZtbYjaHYzA0qO0m1wiNRofR6IPR6FPpfkVFueTlHSU3N9lpqSjourgEFb9XLf/2vvlK2YIQQtRTEmRFpTQaDa+++mqZ9WvWrKmF1lz7iopyOHfuB86eXc2ZM6vJyzuKTmfFy2sw4eEf0qDBMEymxrXdzGuCTueC2RyK2Rxa7nbnoPsnOTlqCcbp01+Tm/sXJeULer3XBcFW7cVWX1tIL64QQlznJMgKcZlyc49w5sxqzpxZRXr6D9jtubi4tMDH5xa8vYfj6dkbrdZU282scyoLunZ7HjbboQtqig+Qnb2XU6eWU1SUUXIGXF1bFIfc1lit7bBY2mE2tywumxBCCFHXVSvI5uXlMWXKFD799FPS09Np3749r7zyCgMHDrzosenp6UyePJmvvvoKm81Gly5dePPNN+nQoYPTfrm5ucyZM4dPP/2Uw4cPY7VaiYqK4sUXX6R79+7VuzshrgBFKSIjY5sjvGZn/4ZGo8fDoxdBQa/g7T0CV9cw+bj7CtJqTVgsbbBY2jitVxSF/PxUx4NzNpv6evLkEo4ePQqoD565uoZhsbRzhFuLpR0uLgEypJgQQtQx1Qqy99xzD19++SVPPvkkoaGhLFiwgGHDhrFhwwZ69uxZ4XF2u53hw4ezZ88eJk+ejLe3N/Pnz6dv374kJCQQEhLi2Pe+++5j6dKl3HnnnTz55JOcO3eO9957jz59+rBlyxY6d+586XcrxGUoKDjLsWPzOHHiHQoKTmMw+NCgwTACAl7Ay2swBoNnbTex3tNoNJhMfphMfnh59XXaVlCQTnb272Rn/+Z4PXr0WwoL0wHQ6axYLG2Ll9KAe7FaXyGEELWnykF2x44dLFu2jFmzZvHUU08BcOedd9K2bVsmT57Mli1bKjw2NjaWrVu3Ehsbyy233ALAmDFjCAsLY+rUqSxevBhQe2OXLVvGrbfeSkxMjOP4W2+9leDgYJYsWSJBVlx1+flpHD06mxMn3kFRivDzu5+GDW/H3b0zGo2M2FBXGAyeeHregKfnDY516ni9x4vDrbpkZPxMaupCFCUfAKOxMVZrJFZrB8erq2sL6b0VQohrQJWDbGxsLHq9ngcffNCxzmQyMWHCBJ5//nmOHz+Ov79/hcc2btzYEWIBfHx8GDNmDIsWLaKgoACDwYBer8doNJaZLcrX1xetVourq2t170+IS5abe4yjR98gJeV9NBoD/v6P0bTpExiNMpvZ9UKj0eDi0hQXl6Z4ew91rLfbC7HZDpKd/RtZWXvIytpNaupC8vNfB0p6byNwcysNtxZLG6mFFkKIq6zKQXbXrl2EhYVhtVqd1pf0kO7evbvCILtr1y6ioqLKrO/cuTPvv/8+SUlJtGnTBr1ez6RJk5g9ezbdu3fnhhtuID09nZdffpkGDRo4hWghrhSb7Q+OHPkPqamfoNO50bz5c/j7P4bB4FXbTRNXiVarx2JphcXSioYNxzjW5+efJCvrV7KydpGVtYtz59Zz/Pg7gIJGoy9+qOzC3ttIKTkRQogrqMpBNiUlpdzxQkvWnThxosy2C4/t27dvpce2aaM+tDF9+nSMRiN33nkniqIOFB8cHMyWLVsIDAysanOFqLbs7H0cOfI6aWlLMBh8CQp6lSZNHi6e2lUIMBob0qDBIBo0GORYV1SUTVbWb8XhdjdZWbs4depz7PZcAFxcgnBz64jV2hE3t464uUVhMHjX1i0IIcR1pcpB1mazYTKV/djMxcXFsb0iubm5VT529uzZTJs2jYcffpjBgweTkpLCjBkzGDVqFJs3b8bbW34BiJqVmbmLw4df5fTp5ZhM/oSEzMXPbwI6nZSyiIvT6Sx4eHTDw6ObY51amnCAzMxdZGXtJDMzgSNHXqOoKBMAF5fA4mAb5Qi58lCZEEJUX5WDrKurK3l5eWXW5+bmOrZf7rEnTpzg2Wef5dFHH2Xu3LmO/QYOHEibNm144403mDFjRoXXeeKJJ/D0dP4Yb9y4cYwbN66SOxP11fnzWzl8+BXOnl2Di0sLwsM/oFGjO2WMUXHZ1NKEkuHBxgOgKHZstkNkZiaQmZlAVlYCR478xzHurcnUvLjHtrT31mj0rcW7EEKIS/fZZ5/x2WefOa1LT0+v8etUOcj6+fmVWz6QkpICQJMmTS772B07dlBQUEB0dLTTfiEhIbRq1Yr4+PhK2zhnzpxya3GFuND581v5669/k56+AbO5Na1aLcbXdwxarcwPIq4cjUaL2RyG2RxGo0bqH9dquP3DEWzVnts3KCo6D4DJ1Aw3t07FS2fc3DpeN1MZCyGub+V1JO7cuZOOHTvW6HWq/Ju7Q4cObNy4kczMTNzcSmsGt2/fDkBkZGSFx0ZGRrJ582YURXEaJH779u1YLBbCwsIAKCgoAKCoqKjMOfLz8yksLKxqc4Uow24v5PDhVzh8+GWs1va0afMlPj43XRPDKCmKQnZBNmdyznDGdsbp9XTOafVr2xnO557HpDdhMVgwG8yYDWb1a50L5gKw5Nkx2woxZ+djzs7DkpGH+XwO5vQsLGez8M7V4mp2B7NZXSyW0q///v3fv7ZawccHZKKHGqOGW3X2skaNxgLqvwWb7Y/ikoRfyMz8xann1sWlhSPcurt3xmqNkjpuIUS9VeUgO3r0aGbNmsX777/P008/DagzfS1YsIBu3bo5RixITU0lPT2dkJAQ9Hq949jY2FiWL1/OP/7xDwBOnz7NF198wciRIzEY1PnQS3pTP/vsMwYPHuy49s6dO0lKSuKhhx6qgVsW9VFu7lESE+/g/PktBAZOJSDg31d1DNjcwlwSTiSw5egW/jj7hyOYXhhY84rKlt8YtAa8zd54693xztPikZlPdn4upwpt5Ch5ZFNAjqaQHJ1CjgFyyquKcAEaFy9Ao3wjATkGArP0BKZqCDxnJ/B0IYFp+QScKcRcUMmNuLhAQIC6BAaWXRo1Am3t/2FQl2k0GszmEMzmEMeICaVlCT87wm1ychx2ew6gwWwOL+6xVQOu1RqJTmeu3RsRQoiroMpBtkuXLtx6660899xznDx5khYtWhATE8ORI0dYsGCBY79nn32WhQsXkpycTPPmzQE1yHbr1o17772Xffv2OWb2UhSFl156yXFsixYtGDt2LDExMWRkZDBo0CBSUlL473//i9ls5oknnqjBWxf1xalTX3HgwAR0OiuRkRvx9Ox15a+ZfYotR7ew5cgWthzdQkJKAvlF+VgMFsJ9wvEx++Bn9aOtb1s1qLp6l74aPfA5chrvnYlY439BsyUejiWpJw4OhibB4O2tLj4+pV97e6M0aIDN00KOuys5VhM5FJCdn01OQQ7ZBdmcyj5FcnqyupxP5pf0ZI6cP0KhvfTTDl9XHwKtTQl09SPQ1IhAvQ8BWi+CCt0IPVmE4fBRSE6GX36B2Fg4e7b0xo3G8kNuQACEh6vtFdXmXJZwB6B+wpCTs7842KoB9+TJZcUTOeiwWNo4wq27excslnZotYbavREhhKhh1SoKXLhwIS+++CKffvop586dIyIiglWrVnHDDaUz5Wg0mjJzzGu1WtasWcOkSZOYN28eNpuNLl26sHDhQkJDQ532jYmJISwsjEWLFhEXF4fVaqVXr168/PLLZfYVV8fWrVuJj48nMzOT+Ph4XnjhBXr37l3bzbqooiIbf/zxNCdOvIuPz82Eh394ReoL7YqdA6cPqMG1OLwePHsQgKbuTenZrCfj2o6jZ/OetG/UHv3fa3HPn4dt22D1FtiyBbZvh+xsNRR26gTjxkHPntC9OzSsfDIGDWAuXqqqyF7EicwTJKcnc/j84dKgm57MztObOXL+CAV2tZvWqDPSNrwtEb0jiGx8N5GNI2nvGohn2nk4fFgNuCXLzp2wfDmcOVN6sSZNIDISIiJKX0NCQCczpFWXVqvHam2L1doWP797ALDb88nO/t0p3KamfgIUodGYsFojcHPrjLt7Z9zcOmM2h8vsdEKIOk2jlAzWWoeVFA8nJCRU+rBXVfcTpXJycpg+fbpjtIjY2FjuvvtuDh48WOkDfheqjfc9O3sv+/aNxWY7RIsWs2nS5KEyf2BdKluBjZ9P/MyWI1uIPxZP/NFzGLTeAAAgAElEQVR4ztrOotVoad+oPT2b9VSX5j1p7tHc+WBFUQPfli2ly2+/qeu9vdXAWrJ07Kh+lF/LiuxFpGalcujsIfak7eHXtF/Znbqb30/+7iiHCPQMJKJRBJGNIx2vgZ6B6nuelaUG28RE2L0bfv1VfT1+XL2A2Qzt2qnBtiTctmun1uSKy1ZUZCMra3dxsP2ZjIyfsdkOAOoMZVZrR0ewdXPrjItLYI39vyKEEBe6EnlAHtMWlTp06BAzZ87kwQcfJDg4mMGDB2Oz2YiPj2f06NG13bwyFEUhJeUDDh16AheXIKKifsZqbVsj596Ttoe52+ay+LfF5BXlYTVa6d60O491eYyezXrSrWk33EwVPHRjs8GiRTB3Luzdq64LD1cD6+OPq69hYdfkg1Q6rQ5/d3/83f3pE9jHsb7QXsiB0wfYnbrbEW7n/zyfUzmnAHA3uTuF2069OtH2H7eg0xb3AJ4+XRpqf/0V4uPho4+gsFB9H0JCSoNthw7Qtasa9kW16HSueHh0x8Oju2NdYeH54mHA1GB78uTnHD06CwCDweeCURLUxWRqXFvNF0KISkmQFZVq37498fHxBAcHA3Ds2DGAa7LMo6DgHElJD3LqVCx+fg8REvLWZT/wYlfsrDm4htnbZvPDXz/Q1L0pU/tMZWjoUNo1bFcayipy4gTMnw//+59aS3rTTfDqq2pwreP1onqtnjYN29CmYRvuQK3bVBSF1KxUp3C77o91vL3jbRQU3IxudGvazdFj3fWGrrgNGFB60rw82LfPued21iwoGXuwZcvSHusePa7Z8H+t0+s98PLqj5dXf8e6/Pw0MjN/ISND7bk9ceJ/FBS8DJQMA9b5grKETuj1HrXVfCGEcJAgK5gzZw5arZaJEyeWu71bt9IZi15//XWefvppIiIirlbzquT8+Xj27RtHUVEGbdrE4uv7j8s6X1Z+Fp/s/oR52+dx8OxBuvp3Zek/lnJLq1sw6KrwwExCAsyeDcuWgasrTJgAjz2mPqx1HdNoNPi5+eHn5sfQ0KGO9dn52SSkJDgefpu7fS7TfpyGVqMlolEEPZr1KC3H6NBB7YEtoSjw11+wdWtpOcbHH6vrfXzUQHuNlWPURUZjI7y9h+PtPRxQ/yjJyzviCLaZmTucZidzdQ3D3b2LI+CqIyXIbHhCiKtLgmw9N2fOHBITE7Hb7cyfP59HHnmkwn0/+ugj/P39K51d7WpTlCIOH36d5ORpuLt3o3Xrxbi4BFzy+Q6nH+btHW/zwc4PyMrPYnTr0Sy8eSHdmna7+MFFRfD11zBnDvz0EwQFwRtvwH33gbv7JbfpemAxWugd0JveAepDgn9/QG7dH+t45+d3gNIH5ErCbUTjCPTBweofAXeoPb+OB+S2bFFLEqZPL31ArmNH517bizwgJ8qn0WhwcQnAxSWAhg3VMiJFsZOTc8Cp3vbkyS9QlDw0Gj0WS1unkgSLpa1MNCKEuKLkJ0w99sknn5Cbm8t7770HwLRp01iyZAm33357mX1Xr16NVqtlxowZ5OXlkZqaSkDApQfGmpCXd5zExPGkp/9IQMALBARMuaRfmoqisPXYVuZsm8PyxOW4mdx4qONDPNrl0bIPa5Xn/Hm1tvO//1UfaurdW31aPzpansavgFajpZVvK1r5tuL+qPsBOJl9kq1HtzrC7aTvJjmGLOvatCv9AvsxIGgAnf07o/fwgBtvVBdQ62r37CkNtsuWqSUJoNba9u4NAwZA//7QWOo9L5VGo8ViaYXF0orGje8CSkZK+M3Rc5uRsY2UlI8AO1qtC1ZrB6eyBFfX0GtiEhIhxPVBgmw9NnbsWFwu+Bh22rRp5Obmltnvxx9/JC0tjeHDh5OamsrWrVvx8/Or1SB7+nQc+/ffi1brQkTED3h59a32OQqKCojdF8uc7XPYcXwHYd5hzBs6j7si7sJqrMIT83/8AfPmqR9z5+XB2LHquKo1PP1efdHQ0pBRLUcxquUoQJ1EYmfKTrYc2cLmI5t5I/4NXtzwIm5GN/oE9qF/YH8GBA+gbcO2aPV6iIpSl8ceU0949GhpKcLGjep/J4DWrdVQO2AA9OkDnp61c8PXCa3WiJtbR9zcOgIPA1BUlE1m5i5Hz+3Zs2s4fnweADqdR/H+pcOAmUzNZKQEIcQlkSBbj7mUU0v493V//vknI0eOJCsry7FOo9Fw/vz5K96+ihw//i4HDz6Ct3c04eEfYTRW76Gpc7ZzvJfwHm/veJvjmccZGDyQVeNWMTR0KNqq9BT9+KNa/7pypfoU/RNPwP/9nzpGqqgxLnoXejTrQY9mPZjUcxKF9kISTiTw/V/f8/1f3/Pc98+Rty4PX7Mv/YP6MyBoAP2D+hPsFayGombN1D8uxqpTv5KWBhs2wPffw6pVag+6Vqv+4VESbHv2VGuaxWXR6Sx4et6Ap2fpGOMFBecuGN/2Z9LSFnH06H8AMBgaOkZKKAm3RqOUhAghLk6CrKhUcHAwGRkZtd0Mh5SUTzh48BH8/R8nJGR2tXtx1v2xjru/vptztnOMbz+ex7s+TrtG7ap2cGYm/POfsHAhtGkD77+v1mxK8Lkq9Fo9XZt2pWvTrjzf63lyC3OJPxrP93+qwfbh1Q9jV+wEeAQwIGgAA4LVYNvYWjI3byPnYPvXX2qo/eEHtbd2xgy1xrZHj9Jg27kz6OXHZE0wGLxo0GAQDRoMcqzLy0txCrfHj7/N4cPqBBomU3PHlLtqaUJHDAav2mq+EOIaJT+h67k9e/bw4osvsnHjRjIzM8ts//rrr4mOjq6FlpV18uQyDhyYgJ/fA9UOsXmFeTz//fO8te0tbmxxIx+P+pgmbtXoQd2xA26/Xe3V++QTuOsuGfaplrnoXegf1J/+Qf15lVc5n3ueTYc3OXpsP96tlhK09m3NoOBBDAkZQp+APrgaiv/wCAqC++9XF0VRx/ctCbZvvAEvvghubmr5wY03wpAhar2tqDEmkx8m00h8fEYCar16bm6yY1ayzMxfOHJkBkVF6h/TLi4tiqfcVYcAs1qj0OsrGLtZCFEvSJCtgpyCHPaf3n/Vr9vSpyVmw+WNg1qZuLg4brvtNu655x5iYmJISkpiypQp3HfffYwePRqDwUD37t0vfqKr4PTplSQmjqdRo9sJC3u3WiE28VQity+/nX2n9jH7xtlM7DqxaiUEoI5E8J//wNSp6kfQ334LLVpc4l2IK8nDxYOR4SMZGa6GorSsNDYkb+D7P79neeJy5m6fi4vehT4BfRgSMoShIUMJ8w5T/y1pNNC2rbo8/rj68FhCghps16+Hp55Sa29btFAD7dCh0LcvWCy1e9PXGY1Gg6trEK6uQTRsOAZQR0qw2Q46gm1Gxs/89ddK7HYboMFsDi/use1UHG4jL3v8aCFE3SFBtgr2n95Px/ev/gM8CQ8mEOV3ZaZ0TUpKYty4ccydO5cHHnjAsT4xMZHExET69+9fydFX19mz69i791a8vUcRHr6gynPDK4rCBzs/4Im1TxDoGcj2+7cT2Tiy6hc+ehTuvBM2bYLnn1fDrKEKY8iKa0IjayPGth3L2LZjURSFxNOJrD20lrWH1vKv9f/iyW+fJNAzkCEthjAkZAj9g/qXzsym16sziXXtqv63z8xU62vXroXVq+Gdd9QyhN691WA7ZIj6EJn00tc4jUaL2RyO2RxOo0bq8Gt2eyE5Ofudem5PnlyGouQDOiyW1sXBtiNubp2wWNrLGLdCXKckyFZBS5+WJDyYUCvXvVKee+452rVr5xRiAXx9fdm2bdsVu251padv4vffb8LLayCtWy+p8vBaZ3LO8EDcA3y1/yse7vgwb974ZvV6t7/8Eh54QO1x27BB/XhZ1FkajYbWvq1p7duap7o/RXZ+Nj8e/pG1h9byzaFv+F/C/zBoDfRs3pMhLYY4Zm5z9Py7uanDqUVHq2UIBw+qofabb+CFF+CZZ6Bp09JQO3AgeMjMV1eKVqvHam2L1doWP797gZJhwH4vDrcJZGYmkJb2KYpSiBpu2/4t3LZDp5PJM4So6yTIVoHZYL5iPaO1IT09nbi4OObNm1dmW1JSUq2PD1siI2M7v/02HHf37rRp8yVarbFKx/3w1w/c9dVd2AptfHXbV9zU8qaqXzQ7Wx2F4MMPYfRoeO89aNDgEu9AXKssRgvDQocxLHQYAIfOHuLbQ9+y9o+1TN80nWe/fxY/qx9DQtTe2sEtBuPpUjxMl0ajTo0bFgYTJ4LNpvbar12rLh9+qI4f3KNHaRlCZKT01l5h6jBgUbi5lf6sttvzyMr6jczMX8jKSiAz8xfS0mJQlMLiCRzaOYKtGm7botWaavEuhBDVJUG2Hjpw4ACFhYV06dLFaX12djYbNmxg5syZFR67efNm/vjjD4xGI7t37+a1115DfwWe6s7M3M2ePUOwWCJo23ZFlXpO8ovymbJhCjO3zKRfUD8W3rQQf3f/ql90504YNw6OHVPDyH33SfioJ0IahBDSJYRHuzxKXmEem49sdpQhLNi9AJ1GR6+AXowIHcHwsOGEe4eX9ta6upZOzjB7tjopRkmoff11+Pe/wd8fhg9XlwEDpLb2KtFqTbi7d8LdvZNjXVFRLtnZe4p7bdWa25SUBUARGo3hgnDbEas1SnpuhbjGSZCth7y81CFsrFbnQf/fffddmjRpwr333lvucevWraNVq1b06tULgGXLlrF3714iIiJqtH3Z2fvYs2cQrq4htG+/Gr3+4pMTHDxzkNuX387u1N3MGDiDZ3o8U/UHuux2eOsttRayXTs10IaHX+ZdiLrKpDcxMHggA4MHMmvwLI6cP8Kag2tYlbSKFza8wDPfPUMLrxaMCBvB8NDh9A7ojUl/QS9eYCA8/LC65OfD5s1qXW1cnDpkm8mkzjA2YoQabK+RT0DqC53OBXf3Lri7l/4hX1RkKw63v5CZmUBGxnZSUj5GDbd6zOY2xeE2Cqu1I1Zre3mgTIhrhATZeigsLIwePXqwfv16wsLCAHX2rnfeeYc1a9ZgNJb9CD85ORkvLy+aNWsGqA+FnTt3jnbtqjgGaxXl5Bzi118HYjT60b79WvT6yusMFUUh5tcY/rnmn/i5+RF/Xzyd/TtX/YIpKepQWuvXw6RJ8Mor6kM8QhRr7tGchzs9zMOdHianIIcf/vqB1Umr+TLxS+Zun4vVaGVwi8GMCB3BsNBhNLI2Kj3YaCwdk/attyApSZ2MYfVqdXSERx9VR0ooCbXdusm4tbVAp3PF3b0r7u5dHetKe253FpcllNTcFqDW3LbCau1YXM7QEYslokp/dAshapb8xKynli9fzsSJE9m3bx+FhYXo9Xp27NiBr69vufv//PPP3HrrrcycOZPjx4+zZMkSEhIS0Gprbs703NzD/PrrAHQ6dyIivsNg8K50//TcdB5a9RCf7/2c+yLvY+7QuVWbWrZEXJxaPmAwwHffqQ/oCFEJs8HMiLARjAgbwXxlPnvS9rAqaRWrD65mwsoJKCh0btLZ0Vvbwa+D8ycDYWHqUF5PPQXnz8O6dWqo/fBDdUKGBg3UmtoRI9RSBS+ZAKC2lNdza7fnFT9QtpPMzASysnZy8uRSFCUPdSiwllitUbi5dcBqjcJqjZRJHIS4wiTI1lMNGzZk6dKlVd6/pB6wcePGFBYWEhAQwLx585g1a1aNtCcvL4Vffx2IRqMjImI9RmOjSvfffHgz478az/nc8ywbvYwxbcZU/WI2m/qU+fz56lPoH30EPtWb5lYIjUZDROMIIhpH8O/e/+ZU9im+OfQNqw+u5s2tbzJ141T8rH4MDx1OdHg0A4IHOI+c4eEBt96qLkVF8PPPpb21ixerD4z17AkjR6r/Tos/PRG1R6s1OepnQR3xxW4vIDt7L1lZJeF2F6dPLy8e5xZcXIKwWjsUlyWoAddkalyLdyHE9UWCrLiotLQ0x0gGd911FwAeHh5s2rSpRs6fn3+KX38diN2eS2TkJlxcmla6/+d7P2fcl+Po2awni+5dRHOP5lW/WFYWDBoEu3erQfbhh+WBLlEjfC2+3BVxF3dF3EVBUQE/HfmJVUmrWJm0kg93fYir3pVBLQYRHRbNiLARziUIOp1aVtCtm1recvQorFmjfmrw4otq2Ut4eOkQYN27q8eIWqfVGnBzi8TNLRI/v/sAUJQicnIOkJW1i8zMXWRl7eTo0VkUFqYDYDQ2Lu6xLQ24Li6B1Z5yWwghQVZUwU8//cQtt9zitC4hIYGBNfBRfEHBOfbsGUxBwRk6dNiEq2tQpfuv+2Md45ePZ1zbccTcFINOW41f5nl5cMst6lSkmzZB52rU0gpRDQadgX5B/egX1I9Zg2dx4MwBVh5YSVxSHA+uehBFUejatCvRYdFEh0fT2re1c4hp1gweekhdsrPVGu64OIiJUafP9fZWyw+io2HwYLBKbea1RKNRJ2WwWFo7JnEomX5XDbc7ycraRWrqRxw58ioAer1ncY9tB6zWSKzWSMzmlmi1MgmLEJWRICsu6qeffqJTp06OXtk9e/Zw7Ngx7r///ss6b2FhJnv2DCU39wiRkT9iNlf+0em2Y9u4ednNDG4xmAWjFlQvxBYVlc7StXathFhx1Wg0Glr6tKSlT0sm95zMqexTrDm4hpVJK3l186s8/8PzBHkGER2uhtpezXth0F0QXiwWGDVKXex22LEDVq5Ul5gY9YGy/v3VUDtypDoxg7jmXDj9rq9vacdAXl4KWVm7HAH39OmvOXbsreJjTFgsbbFaI4vrbiOxWNqj17vV1m0Icc2RICsuqlu3bixfvhw3NzfsdjunT58mLi7usj4GKyrK4bffRpCTk0hk5A9YrW0r3X/vyb0MWzyMKL8oPr/1c+df9BejKOrT4V9+qS59+15yu4W4XL4WX+6OvJu7I+8mtzCXjckbWXlgJbH7Ypm7fS4eJg+GhQ4jOjyaISFDSidiANBqS0sQXnsN/vxT7alduRIeewweeQSiokpDbYcOUjpzjTOZ/DCZ/PD2HuZYV1h4nqysPcUBdzdZWQmkpS0sHjFBg6triKPXtqQH12Tyq72bEKIWSZAVlfrzzz8JDg7mtttuq7FzKopCYuJ4MjMTiIhYV/zgRMWS05MZvGgwzT2aEzcurnpTzYJaY/jee/Dxx3BTNWb5EuIKc9G7OGYPe2fYO+xK3eUoQRj35Tj0Wj19AvoQHR7NqPBRBHj+bczZ4GB1GK/HH4dz59RPG1auVCdmmDZN7Z2NjlZ7c/v2laHl6gi93gNPz154evZyrLPb88nJSSyuud1NVtYujhz5D0VFGQAYDI2wWiMci8USgdkcLqUJ4ronQVZUatu2bTUaYgFSUj7k9OmvaNv2azw8elS6b1pWGoM+HYSr3pW149c6905VxezZ8OqrMGsWVDDRgxDXAo1GQ5RfFFF+UUzrO42j548SlxTHygMreWbdMzy+9nEiGkUwKnwUo1qOokPjDs6finh5qTPTjRsHBQVqGc3KlbBihfpgo5ubOrTXqFEwbBh4VvP/JVGrtFqjI6SWuLDuVl1+5eTJZRw9+gZQUprQxincWq0RMiSYuK5IkBWVysvLQ1eDT0fn5Bzk0KEn8PN7AB+fUZXuez73PEMWDyE7P5st922hsbWaQ9bExKjjdT77LDz99GW0Woirr5lHMx7p/AiPdH6EjLwM1h5ay4oDK5i3Yx7TN02nqXtTosOiGdVyFH0D+2LUXdDbajCUTsQwZw7s2VMaau+4Q510oU8fNdRGR8vsYnVURXW3BQXnyM7eQ1bWr44lLW1J8Xi3YDI1cwq2VmsErq4haKo6G6IQ1xAJsqJSFU1Xeyns9kISE8djMjWhRYu3Kt3XVmAjemk0yenJbLpnE0FelY9mUMbKlTBhAjzwgFpLKEQd5m5yZ0ybMYxpM4aCogI2H9nMiv0rWHFgBfN/mY+7yZ2hIUMZFT6KoaFDnT+50GggIkJdXnwRjh0rDbVPPw0TJ6rbSh4ok7raOs9g8MLTsw+enn0c6+z2Qmy2A07hNjX1I/LzUwHQai3FD5a1x2JpX/zaTnpvxTVPgqy4alJSPsLNLYGoqC2VTuVYaC/kttjb+OXEL6y/cz3tGlVzGtwff4QxY9R62HfflV/K4rpi0BnoH9Sf/kH9mTNkDnvS9rDywEpWHFjB7ctvd9TVlpQglBlnuWlT9aGwRx6BjAy1rnbFCpg3D6ZPV4f+KhmvVupqrxtarR6LpQ0WSxsaNbrdsT4//6Qj2GZn7yEjYwepqZ8UP1im9t6WBlv11dU1DK1W4oO4Nsi/RHHVpKR8SLt2U5zmM/87u2JnwsoJfHPoG+LGxdG9WffqXWTXLvUX8A03lM6OJMR16sLZxV7s8yLHMo45Qu3T655m4tqJRDaOVENt+CgiG0c619W6u6t/9I0Zo9bVbt6shtoVK+Cdd9Ttw4apPbVDh6qzkYnritHYkAYNBtGgwSDHOru9AJstiaysPcUlCntIS/uUvLxjAGg0xuJQ3M4RcC2WdhiNjWRSB3HVSZAVV43F0prmzf9d4XZFUXj626f59NdPWfKPJQwJGVK9CyQlqfPTh4fDV1+ByXSZLRaibmnq3rTcuto52+bw0o8v0dyjuaOutk9AH+dh7AwGdTza/v1L62pLQu24cer2vn1L62qbNau1+xRXllZrcPTewjjH+oKCs2Rn/+YUcE+disVuzwHAYPDBYmmHxdK2+LUdFksbGfdWXFESZMVVExj4SqUfR73+0+vM2T6H+cPmM7bt2Oqd/PhxdYYjHx91ak83+cEp6re/19X+ePhHR13t2z+/7RivtqSu1t3kXnrwhXW1U6aoU+aW1NU+8QT885/qeLUldbXt20sJTz1gMDQoU3urKEXYbH+Snf1b8fI7Z8+u4/jxdwA7AC4ugWUCrtkchlYrZSvi8kmQFVeNq2vFPTj/++V//PuHfzO973T+r/P/Ve/EZ86oIVZRYN06NcwKIRwMOgMDgwcyMHgg84bOY3fqblYcUEPtZ79/hkGrTqk7KnwU0eHRNHX/2+xgzZqpk4o8+iicPw/ffANffw1vvglTp6qjHpSE2l691N5bUS9oNDrM5lDM5lCnkROKimzk5Ox3hNvs7N9ITV1Ifv7x4uMMmM3hFwTctlgsbXBxCZLRE0S1SJAVte7zvZ/zyOpHmNhlIi/0fqF6B2dlwfDhcOqUWt8n03MKUSmNRkMHvw508OvAtL7TOJx+2FFX+/jax3l0zaN09OvoeFisXcN2znWPHh4wdqy65OfDxo1qT+3y5eoDY56e6v+To0bBkCHy6Ug9pdO54ubWATe3Dk7r1aHBfncKuGfOrKGo6DwAWq0Zs7mVI9iqS1tMpmZSfyvKJUFW1Kp1f6xj/PLx3NH+DmYPmV29H1R5eXDLLbBvH2zYoNbGCiGqJcAzgMe6PsZjXR/jnO0c3xz6hq/3f83M+JlM2TiFQM9AR09tr+a9nOtqjUb105DBg+Htt2HnztK62sWL1e39+pXW1fr7196NimuCOjSY86xliqKQn3+C7Oy9xeFWfT19+kuKirIA0OncsFjaYDa3cQq5RqOfBNx6ToKsqDXbjm3j5mU3M7jFYD6O/hhtdT5OKiqCu+5SZy9auxY6Vj7NrRDi4rxcvbi93e3c3u528grz2Ji8kRUHVhC7L5a52+fi6eLJ8NDhRIdHMyRkSNm62o4d1WX6dPjrL4iLU0PtY4+pw3117FhagtCundTVCkD9lMBk8sdk8qdBg8GO9YpiJzf3CDk5ex3hNitrFydPLsZuzwVAr/cqDritsVhaFwfd1hJw6xEJsqJW7D25l2GLhxHlF8Xnt37u3MtzMYqi1urFxsKXX6pPUgshapRJb+LGkBu5MeRG3hn2DjtTdjrqahf/thiDVh3PNjo8uvy62qAgdbKFiRPh3Dm1rnbFCnjjDfUBssBAtZdW6mpFBTQaLa6ugbi6BuLtPdyxXn3A7K/i3tvfycnZR0bGdlJTYxyzl+l0HsXBtnVx7636tcnUVALudUaCrLjqbAU2bvn8Fpp5NCNuXBxmg7l6J/jkE3jvPfjoI3XSAyHEFaXRaOjYpCMdm3Rker/pJKcns/LASlYeWOlUVxsdHs2o8FG0b9TeOSx4ecHtt6tLXp46acnf62pLxqsdMkQdv1aICqgPmIVgNofg61v6O6Ak4Ko9uPvIydlX3IO7BLvdBqglCmoN7oW9uK1wcQmQh8zqKAmy4qqb/qP6i/DXh391nkqzKlJS4Kmn1LKC++67Mg0UQlQq0DOQiV0nMrHrREdd7coDK3lz65tM3TiVAI8AR09t74DeGHUXDLNkMjnX1e7aVVpXu2SJ2jPbr5/aWztyJDRvXnFDhLjAhQHXx2eUY71aopDsCLfZ2fvIzv6dkyc/x27PBkCrdcVsDsdsbuVYLJZWuLqGyjBh1zgJsuKq2pWyizfi32Ba32m09GlZ/RM89pj6i+6tt2q+cUKIaruwrja/KJ8fk39kxYEVfL3/a/6747+4m9wZEjKE6LBohoYOpYFrg9KDNRp1PNqoKHjpJTh8uOx4tZGRaqCNjlb300qvmagetUQhGFfXYGCEY72i2MnLO0p2diI5OaXL2bPrKCw8U7yXDlfXFo5gq4bclpjNrWSih2uEBFlx1RTaC/m/uP+jtW9rJvecXP0TfPWVWhO7dCl4e9d8A4UQl8WoMzKoxSAGtRjEf4f+l1/TfmXlgZXEJcUx/qvx6DQ6egX0YmTYSKLDowlpEOJ8goAA9Y/Vxx5Tx6tdu1YNtv/9L7z8MjRpoobakSPVGchcXWvnRsV1QaPR4uISgItLAN7ezjNJ5uefcgRbNejuJy1tCXl5Rxz7GI3+xeG2pdNiNDaROtyrqFpBNi8vjylTpvDpp5+Snp5O+/bteeWVVxg4cOBFj01PT2fy5Ml89dVX2Gw2unTpwptvvkmHDqVjzCUnJxMcHFzhOe6//37ef//96msP6acAACAASURBVDRZXEMW71nM7tTdbJuwzfmjxqpIT1cf8Bo5Up0XXghxTdNoNEQ2jiSycSRT+kzheMZxViWtYmXSSp7//nmeXvc0rXxaER0ezciwkXRr2g2dVld6Ag8PuO02dSkogC1b1FC7cqVaI282q+UJI0eq49Y2alR7NyuuO0ajL0ajL56evZ3WFxZmYbMduKAXdz/nzv3AiRPvoSgFAOh0Vlxdw8sEXFfXEHQ6l9q4netatYLsPffcw5dffsmTTz5JaGgoCxYsYNiwYWzYsIGePXtWeJzdbmf48OHs2bOHyZMn4+3tzfz58+nbty8JCQmEhKh/lTds2JBFixaVOf6bb75h8eLF3HjjjdW8PVETtm7dSnx8PJmZmcTHx/PCCy/Qu3fvix/4N/9L+B9PRD9BZ//O1W/EpEnq5Afz58uQPULUQf7u/jzU6SEe6vQQWflZrP9zPSsPrOTjXR/zny3/wcfsw4iwEUSHRTOoxSCsRmvpwQaDOjpJ377qbGKJierQXitXwv33q/t061ZaV9u6tfycEFeEXm/Fza0jbm7OQz7a7YXk5iaTk7PfaTl7du0FZQoaXFyCLgi34ZjN4bi6hmM0NpJe3EukURRFqcqOO3bsoFu3bsyaNYunnnoKUHto27ZtS8OGDdmyZUuFx37++eeMHTuW2NhYbrlFncLu9OnThIWFMXToUBYvXlzptQcOHEhCQgJpaWkYjWV78nbu3EnHjh1JSEggKiqqwvNUdT9RKicnh+nTpzNjxgwAYmNjufvuuzl48CBNmjSp0jlK3vcmTzch6bUkLEZL9RqxYYP6MeK778LDD1f3FoQQ17AiexHbj28n7kAcK5NWsu/UPkw6E/2C+jEybCQjwkbQ3KOSB75OnoTVq9Vg++23kJMDwcEwYoQaanv3VidmEKKW5OefxmY78LeQewCb7Q/ADoBO547ZHFbckxvmCLhmcyg6XTV/Z17DrkQOq3KPbGxsLHq9ngcffNCxzmQyMWHCBJ5//nmOHz+OfwWztsTGxtK4cWNHiAXw8fFhzJgxLFq0iIKCAgwVjCGYkpLChg0buOeee8oNseLKOnToEDNnzuTBBx8kODiYwYMHY7PZiI+PZ/To0dU61wu9X6h+iM3JgQceUH8ZXfBvTwhxfdBpdfRo1oMezXrw+sDXOXT2EHEH4lh1cJVjaK/2jdo7Qm0X/y7Ok6c0bAj33qsuubnwww9qqC0Z2svNDW68UQ21w4aBj0/t3ayol4xGH4xGHzw8nD+5ttvzsdn+KA61SeTkHCAn5wDnzn1LQcFpx34mU9NyAm5Y8ZBhur9frt6pcpDdtWsXYWFhWK1Wp/WdO6sfE+/evbvCILtr165yk3fnzp15//33SUpKok2bNuUeu3TpUhRF4Y477qhqU0UNat++PfHx8f/P3r3HVVnm+/9/rcX54CmFBFQMgTRFPIHgKUWz1JxmF6a0p7Za2Z72bDtYmn7TdHfQIZvQSR1l+yNp0hyJxlCnzERSQTDQ0UkUldQ8oDkjnjgosH5/3LmQzaGFCSvi/Xw87gd4rfta92dV6ruL62Cdu3zy5EkAgoKC6v1e/Tv0r38Bc+fCyZOwaZNWK4s0A4F3BPJC5Au8EPkChSWFfH7kczYc3sCyr5fx5vY38fbwZkzQGB4MfpCRXUZWnYLg6mqE1dGjjWlIf/+7EWpTUuA//sOYbhAZWblgTFMQxI7MZmc8PIzdEP6v69f/RVFR3g8juUbIvXhxO2fO/H/WQx9MJmfc3Lrg5haMu3sQbm5B1u+b04Izm4PsmTNn8PHxqdZ+o+306dN19h1aw+lLN/etLch++OGH+Pr6EhUVZWupUk9xcXGYzWamTp1a4+sRERHW7+fPn8+0adMIDQ1t+MKys435cG+8AcHBDf88EflZae3amvE9xjO+x3jKKsrI+C6DDXkbSMlLIWFvAs4OzgzrPIwHgx9kbPBY/Fv7V3Y2mYytu3r1gtmzoaCgcgrC66/DzJnG6WM3T0FwcbHfhxW5iZPTHbRqFUGrVhFV2m8c23sj4BYXH6aoKI/vv0+mpOQYN6YqmM0euLkF/jBdIcj61c0tGCentr+okGtzkC0uLsalht/krq6u1tdrU1JSckt98/LyyMnJsc7JldsvLi6O3NxcKioqWLp0Kc8++2yt965cuRI/Pz/rfNkGdf06PPkk9OwJL73U8M8TkZ81R7Mjg/0HM9h/ML+/7/cc/ddRa6h94fMX+O+//Tch3iE8GPwgDwY/SH+//lV3QWjf3vgz5cknjSkIqamwYQP89a/G9l6enpVTEEaNMqYsiPzM3Hxs7x13VF0AX1FRSnHxtxQXH/5hqoLx9dKlDEpLT1rvc3RsjZtbMG5ugT+E28AfRnQDcXJqeltb2hxk3dzcKC0trdZeUlJiff12972xCMzWaQXPP/88rVtXPSkqJiaGmJgYm/o3N++//z4lJSUsX74cgLlz57J69Woee+yxavdu3LgRs9nMggULKC0tpaCgAH9//2r33TYLF8L+/ZCVpTPYRaSaLnd04bmI53gu4jkullxk89HNpOSlsCJ7BfN3zKetW1tGBY1iTNAY7u9yP23c2lR2dnU1wuqoUcbpYvv2GaE2JcWYawsQFmZs6zVmDPTuralN8rNnNrvg4dEVD4/qhw2Vl1/9YT5unjXoFhcf4cKFL7l+/az1PkfHNlUCbuXXwHqP5K5Zs4Y1a9ZUaSssLLz1D1gLm4Osj49PjdMHzpw5A1DnCvZb7bt69Wq6du1aZa/ZusTFxWk3gnqYMGGCdVQcjCB7438ubpaWlsbZs2cZM2YMBQUFZGRk4OPj03BB9tAh45SfadOgb98fv19EmrVWrq0Y130c47qPs+6CsDFvIxsPb+TP+/6Mg8lYUPZg8IOMCRrDPV73VP6FbDJBaKhx/b//Z+yC8Le/GdMQ3nkHXnsNfHyMebdjxsCIEcYCMpEmxMHBA0/Pnnh69qz2WlnZZYqLj/4QcI9YvxYWbuXatQLrfcZI7s3htguurl1wcwuscfuwmgYSb+xacDvZHGR79+7Ntm3buHz5Mi1u+k2cmZkJQK9evWrt26tXL7Zv347FYqnyQTMzM/Hw8CC4hvmPmZmZHD16lNdff93WEqWebg6xtbXl5+czduxYrly5Ym0zmUxcvHixYYqqqDB2KejQwVjoJSJSDzfvgvDm8Dc5eekkmw5vYkPeBualzWPGlhn4t/JnTNAYxgSPYVjnYbg53fRTQW9vY2HYf/yHMcVpxw4j1G7cCCtXGlt53Xtv5WhtYGDtxYg0AY6OLWjRohctWlTPccYBEEduug5TXHyYwsI0rl2rHKA05uR2sV43Aq6bWxdcXDpiNjfcQbI2v3N0dDQLFy5kxYoVTJs2DTD2kU1ISCAiIsK6Y0FBQQGFhYUEBgbi6Oho7ZuUlERycjKPPPIIYOwju27dOsaOHVvj1lurV68GqPHH3NJ4AgICuHTpUuM9cMUK2L7d2ELH3b3xnisiv0gdWnZgSt8pTOk7hZKyErYd22YdrV369VLcHN0YHjDcCLZBY+jYqmNlZycnGDbMuBYuhPx8I9Bu2ADTp8PzzxsLUW+E2sGDtWet/KIYB0DUHHLLy4soLs6npOToDyH3KMXFR39YeHYcKAfAZHLE1fUu3Ny6cOJEy9tfo603hoeHM27cOGbOnMm5c+fo0qULq1at4sSJEyQkJFjve+WVV0hMTOTYsWN06mRsYh0dHU1ERASTJk3iwIED1pO9LBYL8+bNq/as8vJy1q5dS2RkJHfddddt+JhSm3379jF79mzraPv/9de//pVf/epXjVPMyZPGXw5PPWX8xSEichu5OrryQOADPBD4AIstizl4/iAbD29kQ94Gfrfpd/zW8ltCvEMYHTSa0UGjiewQiZPDTQMtAQHw3/9tXFeuwJdfGsF27Vp4911jysF99xnTEEaNAhsPjRFpihwc3PH07IGnZ49qr1VUXKe09ESVgFtcfIRLl76+7XXUa6w3MTGR2bNn88EHH3DhwgVCQ0PZsGEDgwYNst5jMpmqzZMwm81s2rSJl19+mcWLF1NcXEx4eDiJiYk17ke6ZcsWvv/+e2bPnn2LH+s2KyqCgwcb/7lduzboqGRKSgrjx49n4sSJrFq1iry8PObMmcPkyZOJjo7GycmJyMjIBnt+FRYLPPussXL47bcb55ki0myZTCa6eXWjm1c3XhrwEoUlhWw+upmNhzeSsDeB3+/8PS1dWjKyy0hGBY5iVOAofFrctAWlpyc89JBxWSzGnrUbNxp7Xk+ZYkyTCg2tDLWRkeDYcD9eFfk5MZudrNMMbnb9eg5we+fI2nxE7c9Zgx9Rm5Njn0VH2dnQQIvX8vLy6NOnD++++y5PP/20tX3SpEkcO3aM1NTU2/Ysm/65r10LEyYYp/H827/dtmeLiNRXhaWCnDM5/O3w39h0ZBOZJzOxYKF3+96MChzF6KDR9O/QH8fa5v3985+webOxaOyzz+D776F168rR2gceMLYDE2lm7HpEbbPWtasRKu3x3AYyc+ZMQkJCqoRYAC8vL3bt2tVgz63RP/9p/KjukUcUYkXE7swmM/18+9HPtx+z753N+aLzbD66mU2HN7EiZwVv7XiL1q6tub/L/YwKHMUDgQ9wp+edlW/Qti3ExBhXRYXx98emTUawnTzZGMHt06dytLZ/f3DQUaMit0JB1hbu7g02MmoPhYWFpKSksHjx4mqv5eXlNez+sDV58UVjdfB77zXuc0VEbNDOvR2PhTzGYyGPUV5Rztenv+ZvR/7GpsObmLh+IgB9ffoyOmg0owJHEe4XXnkYg9ls7EkbFmZs5fX99/D550aoXbrUOLnwjjtg5Egj2I4cCXfeWXsxIlKFgmwzdOjQIcrKyggPD6/SfvXqVVJTU4mNjW28Yj7/HBITjW1t9KM2EfmZczA70L9Df/p36M/coXM5d/Ucnx/5nE1HNvFe1nu8/tXrtHFtw31d7uOBLg9wf+D9+La4adGXlxf85jfGVV4Ou3cbo7WbNsETTxj39OljTD944AGIiNChMCJ1UJBthtq0MU648fT0rNK+bNkyfH19mXTjZJuGduUKPPMMDB9eeZqOiEgT4u3hzeOhj/N46OOUVZSx+9RuPj/6OZ8d+YwnP30SCxZ63tmTB7oYuyUM7DQQZ4cftuhycDCCakQE/M//wNmzxtzazz83tiJ86y1o2dI4hOGBB4wjdH/YDUhEDAqyzVBwcDADBgxgy5Yt1sMo0tLSWLJkCZs2bcK5sfZBfPVV4xSdrVuN03VERJowR7MjkR0jiewYydyhczlfdJ4t+Vv47MhnrPr7KmLTY/Fw8iDqrijrNmABbQIq3+DOO+Hxx42rosJYaPzZZ8b1n/9ptHXrVjlaO2SIcdyuSDOmINtMJScnM3XqVA4cOEBZWRmOjo5kZWXh5eVV4/3z5s1jyZIlpKSkEBAQQH5+Pv3797/1AnbtgsWLja22AgJ+/H4RkSamnXs7JvSYwIQeE6iwVLDv7D4+O/IZnx35jOc+e46yijKC7giyhtqhnYfi7vTDlotmM/TrZ1yvvgoXLhj71n72GfzlL8a+tW5uMHRoZbANCtKggDQ7CrLNlLe3Nx999JFN9x47dozu3buTn5/P2rVrMZlMPy3EWiwwdaoxD+y55279fUREmgizyUyv9r3o1b4Xrwx6hUull9j67VY+O/IZnx76lD9m/RFnB2cGdxrMyC4jGdllJD3v7InZZDbeoE0biI42LosFvvmmcrT25ZeNP0s7dzYWi40cCVFRRh+RXzgFWflRnTt3pnPnzlRUVDB58uRqB17U29atxgKHzz7TBuEi0iy1dGnJr7v+ml93/TUWi4W8f+bxtyN/44v8L5iXNo8ZW2bg7eHNfQH3cX+X+xkRMKLyQAaTCXr0MK6XXoKrVyE11Zhfu3mzMb/WbIbwcCPU3n+/8b3+vJVfIP1XLTazWCyYzWZOnz5N27ZtcXFxubU3mj8fevc2/oAVEWnmTCYTd7e7m7vb3c3zEc9TWlZK+nfpbD66mc35m/lw/4cA9LyzJyMDjNHaQZ0G4ebkZryBhwc8+KBxARw/Dl98YYTaP/7RWEjWsqWxsPbGiK2mdMkvhIKs/KicnBwyMzMZPnw4bdq04Z133uGdd965tTfbvduY5/WXv2gul4hIDVwcXRh21zCG3TWM+czn3NVzfJn/JZvzN7P6H6tZmLEQV0dXhvgPsQbbHt49Kn9a5u8PTz1lXOXlxoEMN0Zr//u/oawMunSpDLXDhkGrVvb90CK3SEFW6nTw4EE8PDx44okniIqK4urVq6xfv/7W33D+fGNBwsMP374iRUR+wbw9vIkJiSEmJAaLxcI3339jjNYe3cyrqa/y0hcv4ePpw4iAEdwXcB/DA4ZX7l3r4GBMKwgPNxaNXbpUdRrCsmWV24Ddd5+x1Vd4uPaulSZDQVbq1PWmY3IzMzN/2pt9+y188gnEx+s4RhGRW2Aymejh3YMe3j14MfJFSspK2HFiB5uPbuaL/C/4YN8HAHT36s6IgBGMCBjBvf730sKlhfEGLVvCQw8ZF0B+fuU0hLg4mDsXWrQwdkMYMcK4unXTT9DkZ0tBVhrPqlXg62vskSgiIj+Zq6OrNbACfH/1e7Z+u5Uv8r/gk4OfsChzEY5mRyI6RDDiLuO+cL9wnBx+GHENCDAOpnnmGWMaQk6OEWy3bDF2Q7h2zfhz+0aoHT7c+LXIz4SCrDSeTZsgNhZudZGYiIjUycvDi/E9xjO+x3gsFgtHLxzli6NfsOXbLcRlxjE3bS4tnFswtPNQawDu1q6bMb/WwQHCwoxr1iwoKoIdOyqDbWKi8ZDu3SuD7b33GiO4InaiICuNx8MDpkyxdxUiIs2CyWQi8I5AAu8I5Ldhv6W8opzsM9lsyd/ClvwtvPzFy1wrv4ZvC19GBIxg+F3Diborig4tOxhv4O5euSAM4PvvjcW6W7YY08QWLTK29IqIMEZqhw+H/v2hsU6HFEFBVhrThAng6WnvKkREmiUHswPhfuGE+4Uza/Asiq4Xsf34diPYfruFxL8bI65BdwRZQ+2wu4bRzr2d8QZeXsaf4xMmGIcyHD1qjNZ+8YURaufNM8Lv4MHGgQxRUcZWi1oTIQ1IQVYaz/jx9q5ARER+4O7kzv2B93N/4P0AnC86z7Zj29j67Va+/PZL/pT9JwBC7wwl6q4oht81nMH+g2np0tJY/BUYaFy//a0xv3bvXuPAmy+/NELtjBnQurWxcGz4cCPYauGY3GYKstJ4Wre2dwUiIlKLdu7tiL4nmuh7ogE4eekkW7/dytZvt7LuwDre3fUuDiZjVDfqriii7opiQMcBuDq6GqOuffsa141FYllZRqjduhVefBGuX4f27StHa4cPN47VFfkJFGRFRESkmg4tO/BE6BM8EfoEFouFI/86Yh2tXZ69nDe3v4mLgwsDOw0kqrMxDaGfbz+cHZyNebKDBhnXa68Zx+ju3FkZbNesMaYn3HWXEWqHDTMu7Ygg9aQgKyIiInUymUwEtQ0iqG0Qz/R7hgpLBfvP7rcG29/v/D2vpr6Ku5M7gzoNYqj/UIbdNYy+Pn2Nrb48PKouHLtwAdLSKqcirFxptAcHG1MRhg0zvrZvb6+PLE2EgqyIiIjUi9lkJrR9KKHtQ3kh8gXKKsrYc2YPqcdS2XZsG2/teItZW2fh6ezJoE6DGNZ5GEM7D6WPTx8czY7Qpg38+tfGBXDuHGzbZlypqbBihdHetWvVYOvtbZ8PLD9bCrIiIiLykziaHQnzCyPML4zpA6dzvfw62Wey2XZsG6nHUpmXNo8ZW2bQ0qUlgzsNZmjnoQzrPIxe7XvhYHYwAuqjjxoXQEFBZbDduhX+ZCw84557KkPt0KHQrp19PrD8bCjIioiIyG3l5OBERIcIIjpE8MqgV7hefp3dp3dbg+2c1DkUlxXTyqUVQ/yHcK//vdzb+V56te9ljNi2b1+51RfAqVPGVITUVPj8c1iyxGgPCTEOZbj3XhgyRCO2zZCCrIiIiDQoJwcnBnQcwICOA5g1eBbXyq+RdSqL1G9T2XZ8G7NTZ1NcVkwL5xYM7DTQCLb+99LPt58xx9bPDx57zLgAvvuuMtj+7W/w3ntGe7duVYOtFo/94inIioiISKNydnBmUKdBDOo0iNnM5lr5Nb4+/TVpx9JIO57Gm9vfZOaXM3F3cmdAxwEM6TSEezvfS7hfuLHdV8eO8JvfGBfAyZPw1VdGuN22rXIqQmBg1WDr72+3zywNQ0FWflRGRgbp6elcvnyZ9PR0Xn31VYYMGWLvskRE5BfC2cHZOmI7c/BMyirKyDmTw1fHvyLteBrvZLzDnG1zcHFwIaJDhHU6QmTHSNyd3KFDh6ojtmfPVgbbtLTKXRH8/SuD7b33QkCADmho4hRkpU5FRUWsX7+eBQsWAJCUlMSoUaM4fPgwvvqRjYiINABHs6P1ON2XBrxEeUU5+87uswbbpbuX8vpXr+NkdqKfbz8GdxrMYP/BDOw4kDZubeDOO2HcOOMC+Oc/Yfv2ymD7wQfGPrZ+fsZet4MHG1ePHmA22/fDS70oyEqdjhw5QmxsLFOmTCEgIICRI0dSXFxMeno60dHR9i5PRESaAQezA719etPbpzfPRTxHhaWCA98fIO1YGttPbOfP+/9MbHosJkz08O5hDbaDOw3Gr6UftG1bdbuvwkLjgIa0NCPgfvwxlJUZJ1AOHFgZbPv1Mw53kJ8tBVmpU8+ePUlPTycgIACAkydPAhAUFGTPskREpBkzm8z08O5BD+8e/Ff4f2GxWPi28Fu2H9/O9hPb2fLtFpZ+vRSAu1rfxaBOg6zh9u62d2Nq3RrGjDEugKIi40jd7duN6/XXjdPIXF2hf//KYBsZCS1a2PGTy/+lICvExcVhNpuZOnVqja9HRERYv58/fz7Tpk0jNDS0scoTERGpk8lkIqBNAAFtAviPXv8BwNkrZ9lxYgfbTxjh9sP9H1JhqcDL3atKsO3VvheO7u6Ve9OCMTq7d29lsP3Tn+CNN4xpB717V05HGDTImMYgdqMg28zFxcWRm5tLRUUFS5cu5dlnn6313pUrV+Ln52edLysiIvJzdafnnTxyzyM8cs8jAFwuvUzGyQzrqO2srbMoKSvB3cmdiA4RDOw4kIEdBxLZMZKWLi2NaQX9+sELLxjzaQ8dqgy269fDokXGgwIDjekIgwYZX7t21QKyRqQg24y9//77lJSUsHz5cgDmzp3L6tWreezGqs+bbNy4EbPZzIIFCygtLaWgoAB/bWMiIiJNRAuXFozsMpKRXUYCUFpWSvaZbHae2MnO73ay7OtlvP7V65gw0fPOnkaw7WSE206tOmHq2tUIqU8/bbzhyZPGPNudO2HHDmMBWUUF3HEHDBhQGW779TOmKEiDUJBtxiZMmIDrTb+55s6dS0lJSbX70tLSOHv2LGPGjKGgoICMjAx8fHwUZEVEpMlycXSxbvn1Mi9jsVjI+2ceO7/byc4TO/ny2y+t82w7tOxgHbEd2GkgPe/siWOHDjB+vHEBXL4MmZmVwfbNN+HKFWOxWN++lcF2wADw8rLjJ/9lUZBtxlxr+D/E/9uWn5/P2LFjuXLlirXNZDJx8eLFBq9PRESksZhMJu5udzd3t7ubyb0nA/D91e9J/y7dCLff7eSlL17iWvk1PJ09iegQwYAORhDu36E/rVu0hhEjjAuMebb791eO2n70ESxcaLwWHGwE2wEDjKtrV237dYsUZKVOAQEBXLp0yd5liIiINDovDy8e6voQD3V9CICSshK+Pv21dTrCkt1L+J+v/gcTJu7xuofIDpEM6DiAyI6Rxu4IvXsbi8N+9zvjDU+cqAy2O3fCqlXGdITWrSEiwtgVITLS2CmhZUs7fvKmQ0G2mdu3bx+zZ89m27ZtXL58udrrf/3rX/nVr35lh8pERER+XlwdXa1H6wJYLBaO/OsI6d+lk3Eyg/Tv0lm5ZyUWLNzhdgcRHSKs4TbcLxzPTp2gUyeIiTHe8PJl2L0bMjIgPR3i4uC114zFYj16GKO1kZHG18BALSKrgYKsDYrKyzlYVNToz+3q7o67g0ODvX9KSgrjx49n4sSJrFq1iry8PObMmcPkyZOJjo7GycmJyMjIBnu+iIhIU2YymQhqG0RQ2yDrtl+XSi+ReTLTGmwXpi/kYulFzCYzPe/sWTlq2yGSgDYBmKKiICrKeMOKCsjLqwy2O3bADwuyadfOGLW9EW7DwsDDw06f/OdDQdYGB4uK6Jud3ejPze7blz4NtPFyXl4eMTExLFq0iKdvrMAEcnNzyc3NJerGbyoRERGxWUuXltzX5T7u63IfABWWCg6eP2iM2n6XQeqxVJZ9vQyAdu7tiOgQQYRfBBEdIgjzC6Pljd0RJk0y3rCw0FhElp5uBNz5842RXAcHCAkxwu2NKyio2c21VZC1QVd3d7L79rXLcxvKzJkzCQkJqRJiAby8vNi1a1eDPVdERKQ5MZvM3ON1D/d43cNTfZ4C4F/F/2LXyV1knsxk16ldvJ3+NhdLL1rn2kZ0iLBe3dp1w+H+++H++403LC+HAwdg1y7j+uor48AGMOba9u9fGWzDw43twH7B6hVkS0tLmTNnDh988AGFhYX07NmTN954gxE3VujVobCwkOnTp/PJJ59QXFxMeHg477zzDr17965277Vr11i4cCGJiYkcP36cVq1a0a9fP5YvX46fn199Sr4t3B0cGmxk1B4KCwtJSUlh8eLF1V7Ly8vTtloiIiIN6A63OxgdNJrRQaMBY9T20PlD7Dq5ywi4pzJJ2JtAhaWCFs4tCPMLs47a9u/QH++QEGM09sZgVGGhMdd21y5j9Pa992DePOO1u++uGm5DQsDxlzOOWa9PMnHiRD7++GNeeOEFgoKCSEhIYPTo0aSmpjJw4MBa+1VUVDBmzBj27dvHluxZ5wAAIABJREFU9OnTadu2LUuXLmXo0KFkZ2cTGBhovff69euMGTOGjIwMpkyZQs+ePfnXv/5FVlYWly5dskuQ/aU5dOgQZWVlhIeHV2m/evUqqampxMbG2qkyERGR5sdsMtPNqxvdvLoxqbcxpeDKtSt8ffpra7hduWclb+14C4CANgH09+tPuF844X7h9G7fG7f77oP7jOkMWCxw9GjlqO2uXbB6tbElmLu7sa9t//7GiG14uLEArYkuJLM5yGZlZbF27VoWLlzIiy++CMDjjz9Ojx49mD59Ojt37qy1b1JSEhkZGSQlJfHwww8D8OijjxIcHMxrr73Ghx9+aL333Xff5auvvmLnzp3069fvVj+X1KFNmzYAeHp6VmlftmwZvr6+TLoxL0dERETswtPZk6GdhzK081DA2CHh+MXj1oVkWaeySM5NprS8FEezIz3v7Em4b7g13HYN6IpDYCD85jfGGxYVQU6OMWK7axf85S+V+9reeWdlqA0PNxaS/ZAVfu5sDrJJSUk4OjoyZcoUa5uLiwtPPvkks2bN4tSpU7WOliYlJdG+fXtriAVo164djz76KH/+85+5fv06Tk5OVFRUsGjRIh5++GH69etHWVkZ165dw70B54o2R8HBwQwYMIAtW7YQHBwMGKd3LVmyhE2bNuHs7GznCkVERORmJpOJzq0707l1Z8b3ME4Tu1Z+jX+c+weZJzPJOp3FVye+Ynn2cixY8HT2pJ9vP8J9w+nfwRi99Rs4ENOgQZVvWlBgTEnIzISsLCPY3jjwKCioMtj27w+hoT/Lo3ZtDrJ79uwhODi42iheWFgYAHv37q01yO7Zs4c+ffpUaw8LC2PFihXk5eXRvXt3Dhw4wJkzZwgJCWHKlCmsWrWK69evExISwqJFixg6dGg9PprUJTk5malTp3LgwAHKyspwdHQkKysLrxqOzbNYLLz33nuUlZXh7u7O3r17effdd3F1deX48eOaUysiImIHzg7O9PHpQx+fPvyW3wLG9l/Zp7PJOpVF5qlMPtz/IbHpxpRBH08f64htmG8YfX37csfYsTB2rPGGFRVw5IgRam+E23Xr4No1cHIywuyNEduwMGN3hQbcJtQWNgfZM2fO4OPjU639Rtvp06fr7FtTCL25b/fu3Tl8+DBgTC9o27Yt8fHxWCwW3nrrLR544AF2795NSEiIrSVLHby9vfnoo49suvd3v/sd/v7+TJ8+HYAZM2bwhz/8gQEDBuDt7d2QZYqIiEg9tHRpybC7hjHsrmHWtlOXTrH79G6yTmWRdSqL3+/8PZdKjVM7u7TpQphfGP18+hHmF0afzn3wDP5N5ZSE0lLYt88ItVlZ8OWXsHSp8ZqHB/TpY4Tafv2Mr126NOp8W5uDbHFxMS4uLtXaXX8YZi4uLq61b0lJiU19r1y5Yv168whvVFQUgYGBxMbG8sEHH9hastwG2dnZrFu3jlOnTlnbgoKC2LhxIx4eHjz33HN2rE5ERER+jF9LP/xa+vHrrr8GjF0SDv/zMLtP7+br01+z+/Ru1h9cT3FZMSZMdPPqRphvGGG+YfTz7Udo71Bcw8Lgv/7LeMOLF435trt3G1dyMvzhD8ZrrVtXhtobAbdDhwYLtzYHWTc3N0pLS6u1l5SUWF//qX1vfB04cGCVaQodO3Zk0KBBpKen11nj888/T+vWrau0xcTEEHPjKDipt9TUVIYNG4aTk5O1zdHRkZycHN599107ViYiIiK3wmwyc3e7u7m73d38pqcx8lpWUcaB7w+w+1RluF29fzXXK65bF5PdGLXt59uP7kMG4TSsctSX77+H7Gwj2H79NWuWLWPN/PnGa87O0Lo1hQ0wx9bmIOvj41Pj9IEzZ84A4Ovr+5P73vh65513VrvXy8uLvXv31lljXFxcjXNx5db5+vpWW2x35MgRunXrRufOnSkvL8fBzvNjRERE5Ke5EVZ73tmTJ/s8CUBpWSn7zu6zjtymn0znf/f8LxWWClwcXOh5Z0/6+vSlr29f+vr0pft9UTg/8AAAMUDM6dOVo7Zff01ORga3+3gpm4Ns79692bZtG5cvX6bFTYcDZGZmAtCrV69a+/bq1Yvt27djsVgw3TS0nJmZiYeHh3XlfEhICE5OTlV+jH3D6dOna1yIJA0rJiaGb775hvj4eNzd3SktLeWpp56yjshOmDChxrnTIiIi0rS5OLoQ5hdGmF+Yte3qtavsLdhL9plsss9ks/3EdlbkrKDCUoGzg3NluP0h4PZ4cBTODz1kdM7ONqYa3EY2B9no6GgWLlzIihUrmDZtGmCc9JWQkEBERIR1KkBBQQGFhYUEBgbi+MPJEdHR0SQlJZGcnMwjjzwCwPnz51m3bh1jx461/ti6RYsWjB49mg0bNnDo0CHuvvtuAHJzc0lPT+e3v/3t7fvkYhOTycSbb75ZrX3Tpk12qEZERETsycPZg4GdBjKwU+VBWFevXeXvZ/9O9mkj3O78bifxOfHWcBviHUJfn754Xbr9A5I2B9nw8HDGjRvHzJkzOXfuHF26dGHVqlWcOHGChIQE632vvPIKiYmJHDt2jE6dOgFGkI2IiGDSpEkcOHDAerKXxWJh3o0j1H7w1ltv8eWXXxIVFcXUqVOxWCwsXryYdu3aMWvWrNv0sUVERETkdvBw9mBAxwEM6DjA2lZ0vYi/F/zdOnKbfjKdb/7+zW1/dr2OqE1MTGT27Nl88MEHXLhwgdDQUDZs2MCgmzbXNZlMVaYPAJjNZjZt2sTLL7/M4sWLKS4uJjw8nMTERIKCgqrc261bN9LS0pgxYwZvvPEGZrOZ4cOH8/bbb+tH2CIiIiJNgLuTO5EdI4nsGGlt25m1k0HLB9XRq/7qFWRdXFyIjY0lNja21nsSEhKqjNDe0Lp1a+Lj44mPj//R5/Tu3ZvNmzfXpzQRERER+Rlzc6x9h6tbZb7t7ygiIiIi0ggUZEVERESkSVKQFREREZEmSUFWRERERJokBVkRERERaZIUZEVERESkSVKQFREREZEmSUFWRERERJokBVkRERERaZIUZEVERESkSVKQFREREZEmydHeBcjPX0ZGBunp6Vy+fJn09HReffVVhgwZYu+yREREpJlTkJU6FRUVsX79ehYsWABAUlISo0aN4vDhw/j6+tq5OhEREWnONLVA6nTkyBFiY2PJz88HYOTIkRQXF5Oenm7nykRERKS5U5CVOvXs2ZP09HQCAgIAOHnyJABBQUH2LEtEREREQVYgLi6OxYsX1/p6RESE9fv58+czbdo0QkNDG6M0ERERkVopyDZzcXFx5Obmsn//fpYuXVrnvStXrsTPz4+33367kaoTERERqZ2CbDP2/vvvU1JSwvLly4mPj+fcuXOsXr26xns3btyI2WxmwYIFlJaWcvz48UauVkRERKQq7VrQjE2YMAFXV1frr+fOnUtJSUm1+9LS0jh79ixjxoyhoKCAjIwMfHx88Pf3b8xyRURERKpQkG3Gbg6xtbXl5+czduxYrly5Ym0zmUxcvHixwesTERERqYuCrNQpICCAS5cu2bsMERERkWo0R7aZ27dvHw899BCtWrXCbDZXuz799FN7lygiIiJSI43I2qC8qJyig0WN/lz3ru44uDs02PunpKQwfvx4Jk6cyKpVq8jLy2POnDlMnjyZ6OhonJyciIyMbLDni4iIiPwUCrI2KDpYRHbf7EZ/bt/svrTo06JB3jsvL4+YmBgWLVrE008/bW3Pzc0lNzeXqKioBnmuiIiIyO2iIGsD967u9M3ua5fnNpSZM2cSEhJSJcQCeHl5sWvXrgZ7roiIiMjtoiBrAwd3hwYbGbWHwsJCUlJSajzNKy8vT9tqiYiISJOgINsMHTp0iLKyMsLDw6u0X716ldTUVGJjY2vtu337do4ePYqzszN79+7lrbfewtFR/xmJiIhI41MCaYbatGkDgKenZ5X2ZcuW4evry6RJk2rst3nzZrp168bgwYMBWLt2Ld988w2hoaENW7CIiIhIDbT9VjMUHBzMgAED2LJli7UtLS2NJUuWkJycjLOzc7U+x44do02bNnTs2BEwFoVduHCBkJCQRqtbRERE5GYakW2mkpOTmTp1KgcOHKCsrAxHR0eysrLw8vKq8f7du3czbtw4YmNjOXXqFKtXryY7OxuzWf8vJCIiIvahINtMeXt789FHH9l8v8lkAqB9+/aUlZXh7+/P4sWLWbhwYUOVKCIiIlInBVn5UWfPnrXuZPDEE08A0KpVK7766it7liUiIiLNnH4uLD9qx44d9OvXr0pbdnY2I0aMsFNFIiIiIgqyYoMdO3Zw4sQJ66/37dvHyZMneeqpp+xYlYiIiDR3mlogPyoiIoLk5GRatGhBRUUF58+fJyUlxTpvVkRERMQeFGSlTvn5+QQEBDB+/Hh7lyIiIiJShaYWSJ127dpFnz597F2GiIiISDUKslKn0tJSHBwc7F2GiIiISDUKslKn2o6rFREREbE3BVkRERERaZLqFWRLS0uZMWMGvr6+uLu7ExERwZYtW2zqW1hYyJQpU/Dy8sLT05OoqCj27NlT7b6hQ4diNpurXaNGjapPqSIiIiLyC1evXQsmTpzIxx9/zAsvvEBQUBAJCQmMHj2a1NRUBg4cWGu/iooKxowZw759+5g+fTpt27Zl6dKlDB06lOzsbAIDA6vc37FjR+bPn1+lzdfXtz6lioiIiMgvnM1BNisri7Vr17Jw4UJefPFFAB5//HF69OjB9OnT2blzZ619k5KSyMjIICkpiYcffhiARx99lODgYF577TU+/PDDKve3atWKxx577FY+j4iIiIg0EzZPLUhKSsLR0ZEpU6ZY21xcXHjyySfJyMjg1KlTdfZt3769NcQCtGvXjkcffZT169dz/fr1KvdbLBbKy8u5cuVKfT6LiIiIiDQjNgfZPXv2EBwcjKenZ5X2sLAwAPbu3Vtn35r2Ig0LC6OoqIi8vLwq7Xl5eXh4eNCyZUt8fHyYM2cOZWVltpYqIiIiIs2AzVMLzpw5g4+PT7X2G22nT5+us+/QoUPr7Nu9e3cAAgMDGT58OCEhIVy9epV169bxxhtvkJeXx0cffWRruSIiIiLyC2dzkC0uLsbFxaVau6urq/X12pSUlNjc93//93+r3PPv//7vPPPMM8THx/PCCy/Qv39/W0sWERERkV8wm4Osm5sbpaWl1dpLSkqsrzdEX4Bp06YRHx/Pl19+WWeQff7552ndunWVtpiYGGJiYup8fxERERG5fdasWcOaNWuqtBUWFt7259gcZH18fGqcPnDmzBmg7u2xfkpfgA4dOgDwr3/9q8774uLiapyLKyIiIiKNp6aBxJycHPr27Xtbn2PzYq/evXuTl5fH5cuXq7RnZmYC0KtXr1r79urVi5ycHCwWS7W+Hh4eBAcH1/ns/Px8ALy8vGwtV0RERER+4WwOstHR0ZSXl7NixQprW2lpKQkJCURERODn5wdAQUEBBw8erLLLQHR0NGfPniU5Odnadv78edatW8fYsWNxcnIC4PLly9WmIFgsFt544w1MJhP333//rX1KEREREfnFsXlqQXh4OOPGjWPmzJmcO3eOLl26sGrVKk6cOEFCQoL1vldeeYXExESOHTtGp06dACPIRkREMGnSJA4cOGA92ctisTBv3jxr3+zsbGJiYnjsscfo0qULxcXFfPLJJ6Snp/PMM8/UOeorIiIiIs1LvY6oTUxMZPbs2XzwwQdcuHCB0NBQNmzYwKBBg6z3mEwmTCZTlX5ms5lNmzbx8ssvs3jxYoqLiwkPDycxMZGgoCDrfZ07d2bIkCF88sknFBQUYDabueeee1i+fDlPP/30T/yocqsyMjJIT0/n8uXLpKen8+qrrzJkyBB7lyUiIiLNXL2CrIuLC7GxscTGxtZ6T0JCQpUR2htat25NfHw88fHxtfbt3Lkza9eurU9J0sCKiopYv349CxYsAIxT2kaNGsXhw4d/dJGeiIiISEOyeY6sNE9HjhwhNjbWuuBu5MiRFBcXk56ebufKREREpLlTkJU69ezZk/T0dAICAgA4efIkQJUpISIiIiL2oCArxMXFsXjx4lpfj4iIsH4/f/58pk2bRmhoaGOUJiIiIlIrBdlmLi4ujtzcXPbv38/SpUvrvHflypX4+fnx9ttvN1J1IiIiIrVTkG3G3n//fUpKSli+fDnx8fGcO3eO1atX13jvxo0bMZvNLFiwgNLSUo4fP97I1YqIiIhUVa9dC+SXZcKECbi6ulp/PXfuXEpKSqrdl5aWxtmzZxkzZgwFBQVkZGTg4+ODv79/Y5YrIiIiUoWCbDN2c4itrS0/P5+xY8dy5coVa5vJZOLixYsNXp+IiIhIXRRkpU4BAQFcunTJ3mWIiIiIVKM5ss3cvn37eOihh2jVqhVms7na9emnn9q7RBEREZEaaUTWBuXlRRQVHWz057q7d8XBwb3B3j8lJYXx48czceJEVq1aRV5eHnPmzGHy5MlER0fj5OREZGRkgz1fRERE5KdQkLVBUdFBsrP7Nvpz+/bNpkWLPg3y3nl5ecTExLBo0SKefvppa3tubi65ublERUU1yHNFREREbhcFWRu4u3elb99suzy3ocycOZOQkJAqIRbAy8uLXbt2NdhzRURERG4XBVkbODi4N9jIqD0UFhaSkpJS42leeXl52lZLREREmgQt9mqGDh06RFlZGeHh4VXar169SmpqKv/2b/9mp8pEREREbKcg2wy1adMGAE9Pzyrty5Ytw9fXl0mTJtmjLBEREZF6UZBthoKDgxkwYABbtmyxtqWlpbFkyRKSk5Nxdna2Y3UiIiIittEc2WYqOTmZqVOncuDAAcrKynB0dCQrKwsvL68a7583bx5LliwhJSWFgIAA8vPz6d+/fyNXLSIiIlJJQbaZ8vb25qOPPrLp3mPHjtG9e3fy8/NZu3YtJpNJIVZERETsTkFWflTnzp3p3LkzFRUVTJ48GZPJZO+SRERERDRHVmxnsVgwmUycPn2a0tJSe5cjIiIizZyCrPyonJwcli1bxtGjR/n+++955513cHFxsXdZIiIi0sxpaoHU6eDBg3h4ePDEE08QFRXF1atXWb9+vb3LEhEREVGQlbp17Vp5TG5mZqYdKxERERGpSlMLRERERKRJUpAVERERkSZJQVZEREREmiQFWRERERFpkhRkRURERKRJUpAVERERkSZJQVZEREREmiQFWRERERFpkhRkRURERKRJUpAVERERkSZJQVZEREREmiQFWRERERFpkhRkRURERKRJUpAVERERkSbJ0d4FyM9fRkYG6enpXL58mfT0dF599VWGDBli77JERESkmVOQlToVFRWxfv16FixYAEBSUhKjRo3i8OHD+Pr62rk6ERERac7qNbWgtLSUGTNm4Ovri7u7OxEREWzZssWmvoWFhUyZMgUvLy88PT2Jiopiz549P9rH29sbs9nMxx9/XJ9S5TY5cuQIsbGx5OfnAzBy5EiKi4tJT0+3c2UiIiLS3NUryE6cOJF3332Xxx9/nMWLF+Pg4MDo0aPZuXNnnf0qKioYM2YMa9asYerUqcTGxnLu3DmGDh3KkSNHau03Z84ciouLMZlMmEym+pQqt0nPnj1JT08nICAAgJMnTwIQFBRkz7JEREREbA+yWVlZrF27lgULFvD73/+ep556iq1bt+Lv78/06dPr7JuUlERGRgarVq1i9uzZPPvss2zbtg0HBwdee+21Gvv84x//4E9/+hMzZszAYrHU71NJvcTFxbF48eJaX4+IiLB+P3/+fKZNm0ZoaGhjlCYiIiJSK5uDbFJSEo6OjkyZMsXa5uLiwpNPPklGRganTp2qs2/79u15+OGHrW3t2rXj0UcfZf369Vy/fr1an+eee46HH36YwYMH21qi3IK4uDhyc3PZv38/S5curfPelStX4ufnx9tvv91I1YmIiIjUzuYgu2fPHoKDg/H09KzSHhYWBsDevXvr7NunT59q7WFhYRQVFZGXl1elfd26dWRkZBAbG6vR2Ab0/vvvU1JSwvLly4mPj+fcuXOsXr26xns3btyI2WxmwYIFlJaWcvz48UauVkRERKQqm3ctOHPmDD4+PtXab7SdPn26zr5Dhw6ts2/37t0BKC4u5qWXXuLFF1+kU6dO1kVGcvtNmDABV1dX66/nzp1LSUlJtfvS0tI4e/YsY8aMoaCggIyMDHx8fPD392/MckVERESqsDnIFhcX4+LiUq39RhAqLi6utW9JSYnNfRcsWEB5eTmzZs2ytTS5RTeH2Nra8vPzGTt2LFeuXLG2mUwmLl682OD1iYiIiNTF5iDr5uZGaWlptfYbI3hubm4/ue+xY8dYuHAhS5cuxd3d3dbSrJ5//nlat25dpS0mJoaYmJh6v5cYAgICuHTpkr3LEBERkSZkzZo1rFmzpkpbYWHhbX+OzUHWx8enxukDZ86cAahzc3xb+86ZMwc/Pz/uvfdejh07BkBBQQEA586d49ixY/j7+9e6FVdcXFyNc3Gldvv27WP27Nls27aNy5cvV3v9r3/9K7/61a/sUJmIiIg0VTUNJObk5NC3b9/b+hybg2zv3r2tYadFixbW9szMTAB69epVa99evXqxfft2LBZLlRCamZmJh4cHwcHBAHz33XccOXLEumfpzZ599lnASPMtW7a0tezboqioiIMHDzbqMwG6du16SyPTtkpJSWH8+PFMnDiRVatWkZeXx5w5c5g8eTLR0dE4OTkRGRnZYM8XERER+SlsDrLR0dEsXLiQFStWMG3aNMA46SshIYGIiAj8/PwAYwS1sLCQwMBAHB0drX2TkpJITk7mkUceAeD8+fOsW7eOsWPH4uTkBMAbb7zBP//5zyrP3b9/P7Nnz2bGjBlERkY2aLCrzcGDB2/7/0HYIjs7u8FGmPPy8oiJiWHRokU8/fTT1vbc3Fxyc3OJiopqkOeKiIiI3C42B9nw8HDGjRvHzJkzOXfuHF26dGHVqlWcOHGChIQE632vvPIKiYmJHDt2jE6dOgFGkI2IiGDSpEkcOHCAtm3bsnTpUiwWC/PmzbP2HThwYLXn3hh9DQsLs9uPuLt27Up2drZdnttQZs6cSUhISJUQC+Dl5cWuXbsa7LkiIiIit4vNQRYgMTGR2bNn88EHH3DhwgVCQ0PZsGEDgwYNst5T03GyZrOZTZs28fLLL7N48WKKi4sJDw8nMTHRpqNO7X08rbu7+y9q7m1hYSEpKSk1nuaVl5enbbVERESkSahXkHVxcSE2NpbY2Nha70lISKgyQntD69atiY+PJz4+vl4FDh06lPLy8nr1kbodOnSIsrIywsPDq7RfvXqV1NTUOv/9ioiIiPxc2Hyyl/xytGnTBqDaKW3Lli3D19eXSZMm2aMsERERkXpRkG2GgoODGTBgAFu2bLG2paWlsWTJEpKTk3F2drZjdSIiIiK2qdfUAvnlSE5OZurUqRw4cICysjIcHR3JysrCy8ur2r0Wi4X33nuPsrIy3N3d2bt3L++++y6urq4cP35cc2pFRETELhRkmylvb28++ugjm+793e9+h7+/P9OnTwdgxowZ/OEPf2DAgAF4e3s3ZJkiIiIitVKQlTplZ2ezbt06Tp06ZW0LCgpi48aNeHh48Nxzz9mxOhEREWnONEdW6pSamsqwYcOsh1YAODo6kpOTw0MPPWTHykRERKS5U5CVOvn6+lY7Te3IkSN069aNzp07a2s0ERERsRtNLZA6xcTE8M033xAfH4+7uzulpaU89dRT5OTk8O677zJhwgR8fHzsXaaIiIg0QwqyUieTycSbb75ZrX3Tpk12qEZERESkkqYWiIiIiEiTpCArIiIiIk2SgqyIiIiINEkKsiIiIiLSJCnIioiIiEiTpCArIiIiIk2SgqyIiIiINEkKsiIiIiLSJCnIioiIiEiTpCArIiIiIk2SgqyIiIiINEkKsiIiIiLSJCnIioiIiEiT5GjvAuTnLyMjg/T0dC5fvkx6ejqvvvoqQ4YMsXdZIiIi0swpyEqdioqKWL9+PQsWLAAgKSmJUaNGcfjwYXx9fe1cnYiIiDRnmlogdTpy5AixsbHk5+cDMHLkSIqLi0lPT7dzZSIiItLcKchKnXr27El6ejoBAQEAnDx5EoCgoCB7liUiIiKiICsQFxfH4sWLa309IiLC+v38+fOZNm0aoaGhjVGaiIiISK0UZJu5uLg4cnNz2b9/P0uXLq3z3pUrV+Ln58fbb7/dSNWJiIiI1E5Bthl7//33KSkpYfny5cTHx3Pu3DlWr15d470bN27EbDazYMECSktLOX78eCNXKyIiIlKVdi1oxiZMmICrq6v113PnzqWkpKTafWlpaZw9e5YxY8ZQUFBARkYGPj4++Pv7N2a5IiIiIlUoyDZjN4fY2try8/MZO3YsV65csbaZTCYuXrzY4PWJiIiI1EVBVuoUEBDApUuX7F2GiIiISDWaI9vM7du3j4ceeohWrVphNpurXZ9++qm9SxQRERGpkUZkbVBUBAcPNv5zu3YFd/eGe/+UlBTGjx/PxIkTWbVqFXl5ecyZM4fJkycTHR2Nk5MTkZGRDVeAiIiIyE+gIGuDgwehb9/Gf252NvTp0zDvnZeXR0xMDIsWLeLpp5+2tufm5pKbm0tUVFTDPFhERETkNlGQtUHXrkaotMdzG8rMmTMJCQmpEmIBvLy82LVrV8M9WEREROQ2UZC1gbt7w42M2kNhYSEpKSk1nuaVl5enbbVERESkSVCQbYYOHTpEWVkZ4eHhVdqvXr1KamoqsbGxtfbdvn07R48exdnZmb179/LWW2/h6Kj/jERERKTxKYE0Q23atAHA09OzSvuyZcvw9fVl0qRJNfbbvHkz3bp1Y/DgwQCsXbuWb775htDQ0IYtWERERKQG9dp+q7S0lBkzZuDr64u7uzsRERFs2bLFpr6FhYVMmTIFLy8vPD09iYq3A9waAAAgAElEQVSKYs+ePdXue+utt4iIiMDb2xs3Nze6dOnCM888w4kTJ+pTqtQhODiYAQMGVPl3l5aWxpIlS0hOTsbZ2blan2PHjtGmTRs6duwIGIvCLly4QEhISKPVLSIiInKzeo3ITpw4kY8//pgXXniBoKAgEhISGD16NKmpqQwcOLDWfhUVFYwZM4Z9+/Yxffp02rZty9KlSxk6dCjZ2dkEBgZa783JyaFPnz489thjtGjRggMHDhAfH8+nn37KP/7xD9q2bXvrn1askpOTmTp1KgcOHKCsrAxHR0eysrLw8vKq8f7du3czbtw4YmNjOXXqFKtXryY7OxuzWVsRi4iIiH3YHGSzsrJYu3YtCxcu5MUXXwTg8ccfp0ePHkyfPp2dO3fW2jcpKYmMjAySkpJ4+OGHAXj00UcJDg7mtdde48MPP6xy7/8VGRlJdHQ0n376aa0/9pb68fb25qOPPrL5fpPJBED79u0pKyvD39+fxYsXs3DhwoYqUURERKRONgfZpKQkHB0dmTJlirXNxcWFJ598klmzZnHq1Cn8/Pxq7du+fXtriAVo164djz76KH/+85+5fv06Tk5OtT77xir6uu6RhnP27Fnrv4MnnngCgFatWvHVV1/ZsywRERFp5mz+ufCePXsIDg6utkAoLCwMgL1799bZt08N+1eFhYVRVFREXl5etdfOnz9PQUEB27dvZ+rUqQQHB1cJwtJ4duzYQb9+/aq0ZWdnM2LECDtVJCIiIlKPIHvmzBl8fHyqtd9oO3369G3rW1BQgLe3N76+vtx7772Ulpaybds23BvyvFap1Y4dO6osttu3bx8nT57kqaeesmNVIiIi0tzZPLWguLgYFxeXau2urq7W12tTUlJSr75t27Zly5YtlJSUkJOTwx/+8AdGjx5NWloaLVq0sLVkuU0iIiJITk6mRYsWVFRUcP78eVJSUqzzZkVERETsweYg6+bmRmlpabX2kpIS6+u3q6+TkxNRUVEAjB49muHDhzNw4ED++Mc/MmvWrFqf8/zzz9O6desqbTExMcTExNTaR+qWn59PQEAA48ePt3cpIiIi0kSsWbOGNWvWVGkrLCy87c+xOcj6+PjUOH3gzJkzAPj6+jZIXzB2LfDx8SErK6vO++Li4mqciyu3bteuXQqxIiIiUi81DSTm5OTQt2/f2/ocm+fI9u7dm7y8PC5fvlylPTMzE4BevXrV2rdXr17k5ORgsViq9fXw8CA4OPhHn19cXKw9S+2gtLQUBwcHe5chIiIiUo3NyTA6Opry8nJWrFhhbSstLSUhIYGIiAjr1lsFBQUcPHiQsrKyKn3Pnj1LcnKyte38+fOsW7eOsWPHWrfVKioqoqioqNqzP/74YwoLC61Ho0rj0b69IiIi8nNl89SC8PBwxo0bx8yZMzl37hxdunRh1apVnDhxgoSEBOt9r7zyComJiRw7doxOnToBRpCNiIhg0qRJHDhwwHqyl8ViYd68eda+eXl5jBgxggkTJnD33XdjNpv5+uuv+fDDDwkJCeE///M/b+NHFxEREZGmrF5H1CYmJjJ79mw++OADLly4QGhoKBs2bGDQoEHWe0wmU7XV7GazmU2bNvHyyy+zePFiiouLCQ8PJzExkaCgIOt9HTt2JDo6mq1bt7Jq1SrKysq46667eOmll5g1a1adC8pEREREpHmpV5B1cXEhNjaW2NjYWu9JSEioMkJ7Q+vWrYmPjyc+Pr7Wvm3btuVPf/pTfUoSERERkWZKq6dEREREpElSkBURERGRJklBVkRERESaJAVZEREREWmSFGRFREREpElSkBURERGRJklBVkRERESaJAVZEREREWmSFGRFREREpElSkBURERGRJklBVkRERESaJEd7FyA/fxkZGaSnp3P58mXS09P5/9u78/io6nv/46+zz0wWAgkhCQjKEqgssshaqhStRZRqlUW8qCDovW3d0J9Ybav1aq21Wrncar1URbCIC4pbXVoU1CpCgCAqOxQRSAKIIZNk9jm/P87MkJCFBEMmIZ9nH9/HOfM958z5zun30b755nvO+fWvf80555yT7GYJIYQQoo2TICvqVVlZyWuvvcaDDz4IwNKlS7nwwgvZvn07eXl5SW6dEEIIIdoymVog6rVjxw4eeughdu3aBcAFF1yAz+fjk08+SXLLhBBCCNHWSZAV9RowYACffPIJ3bt3B2Dv3r0A9OrVK5nNEkIIIYSQICtg7ty5zJs3r87tI0aMSKz//ve/57bbbuOss85qjqYJIYQQQtRJgmwbN3fuXDZv3sznn3/O448/Xu++Tz31FJ07d+aPf/xjM7VOCCGEEKJuEmTbsGeeeQa/38///d//8de//pUDBw7w3HPP1brv3//+d1RV5cEHHyQQCPDVV181c2uFEEIIIaqTpxa0YVdccQUulyvx+be//S1+v7/Gfh988AElJSVcdNFFFBcXs2rVKnJzc+nWrVtzNlcIIYQQohoJsm1Y1RBbV92uXbuYMGEC5eXliTpFUThy5MhJb58QQgghRH0kyIp6de/enbKysmQ3QwghhBCiBpkj28Zt3LiRSy65hHbt2qGqao3y+uuvJ7uJQgghhBC1khHZBqgMVbLl0JZmP2+frD54DM9J+/433niDKVOmMH36dBYuXMi2bdu4++67ufbaa5k4cSKGYTBy5MiTdn4hhBBCiO9CgmwDbDm0hSHzhzT7edddv47BuYNPyndv27aNqVOn8j//8z9cd911ifrNmzezefNmxo4de1LOK4QQQgjRVCTINkCfrD6su35dUs57stx5553079+/WogF6NixI59++ulJO68QQgghRFORINsAHsNz0kZGk6G0tJQ33nij1rd5bdu2TR6rJYQQQohWQW72aoO2bt1KOBxm2LBh1eorKipYsWIFP/3pT5PUMiGEEEKIhpMg2wa1b98egNTU1Gr1f/nLX8jLy2PGjBnJaJYQQgghRKNIkG2D8vPzGTVqFMuXL0/UffDBBzz22GO88sormKaZxNYJIYQQQjSMzJFto1555RVuuukmNm3aRDgcRtd11qxZQ8eOHWvd/9577+Wxxx7jjTfeoHv37uzatYvhw4c3c6uFEEIIIY6SINtGZWdn8/zzzzdo3927d9O3b1927drFCy+8gKIoEmKFEEIIkXQSZMVxnX766Zx++ulEo1GuvfZaFEVJdpOEEEIIIWSOrGg427ZRFIX9+/cTCASS3RwhhBBCtHESZMVxrV+/nr/85S/s3LmTgwcP8sgjj2BZVrKbJYQQQog2TqYWiHpt2bKFlJQUrr76asaOHUtFRQWvvfZaspslhBBCCCFBVtSvT5+jr8ldvXp1ElsihBBCCFGdTC0QQgghhBCtkgRZIYQQQgjRKkmQFUIIIYQQrZIEWSGEEEII0So1OsgGAgHuuOMO8vLy8Hg8jBgxguXLlzfo2NLSUq6//no6duxIamoqY8eOpbCwsNo+Pp+Pxx57jAsuuIC8vDzS09MZPHgwTzzxBNFotLHNFUIIIYQQp6hGB9np06fz6KOPctVVVzFv3jw0TWP8+PF8/PHH9R4XjUa56KKLWLJkCTfddBMPPfQQBw4cYMyYMezYsSOx386dO7nppptQFIXbbruNRx55hDPOOIOf//znXHvttY3/hUIIIYQQ4pTUqMdvrVmzhhdeeIGHH36YW2+9FYCrrrqKfv36MWfOnHrD7NKlS1m1ahVLly7lsssuA2Dy5Mnk5+dzzz33sHjxYgByc3P54osv+N73vpc49rrrrmPmzJksWLCA3/zmN/To0aPRP1QIIYQQQpxaGjUiu3TpUnRd5/rrr0/UWZbFzJkzWbVqFfv27av32JycnESIBcjKymLy5Mm89tprhEIhADIzM6uF2LhLL70UcB7QL4QQQgghRKNGZAsLC8nPzyc1NbVa/dChQwHYsGEDnTt3rvPYwYMH16gfOnQo8+fPZ9u2bfTt27fOcxcXFwNO+P2uNm/e/J2/QzScXG8hhBBCnAyNCrJFRUXk5ubWqI/X7d+/v95jx4wZU++xdQXZYDDI3Llz6d69eyI0n4i0tDQApk2bdsLfIU5c/PoLIYQQQjSFRgVZn8+HZVk16l0uV2J7Xfx+/wkfe8MNN7B582beeustVPXEnxjWq1cvtm3bhtfrrVZ/4bKdRLF59aLuuM3jfP8f/gCrV8Mrr5xwO9qitLQ0evXqlexmCCGEEOIU0qgg63a7CQQCNer9fn9ie1Mf+8c//pEnn3yS+++/n3HjxtXbvltuuYWMjIxqdVOnTmXq1KmJz7WFqf8s6cp9+pdc+YWHrdf0wWXUE2Z374Yf/ABqmSYhhBBCCCFgyZIlLFmypFpdaWlpk5+nUUE2Nze31ukDRUVFAOTl5TXpsc888wy//OUv+dnPfsZdd9113PbNnTu31nm4x/PfF2YRePNMHjrjS/ouVNg8vQ+mrtTcMRiEDRtApiYIIYQQQtTp2IFEgPXr1zNkyJAmPU+j/k4/aNCgWv80v3r1agAGDhxY57EDBw5k/fr12LZd49iUlBTy8/Or1b/22mvMmjWLyy+/nMcee6wxzTwhf7i4Izd5z2TXGSX0f2Yr4Yhdc6eNG50w+x3m6QohhBBCiKbRqCA7ceJEIpEI8+fPT9QFAgEWLFjAiBEjEk8sKC4uZsuWLYTD4WrHlpSU8EqVuaWHDh3ipZdeYsKECRiGkaj/8MMPueKKKxgzZkzi+bLN4X8uzea/jvRhW/dizlqwnWj0mDBbUAC6DvUEdiGEEEII0TwaNbVg2LBhTJo0iTvvvJMDBw7Qo0cPFi5cyJ49e1iwYEFiv1/+8pcsWrSI3bt307VrV8AJsiNGjGDGjBls2rSJzMxMHn/8cWzb5t57700c+9VXX/GTn/wEVVW5/PLLeeGFF6q14ayzzqJ///7f5TfX6y+X5eB/yeaZnlsZ/LTC+mt7oqqxaQYFBdC/P8RuUBNCCCGEEMnTqCALsGjRIn7zm9/w7LPP8u2333LWWWfx5ptvMnr06MQ+iqKgKNXnmKqqyltvvcXtt9/OvHnz8Pl8DBs2jEWLFlW7Aevf//43ZWVlKIrCL37xi2rfoSgK99xzz0kNsgALJuUSfN7muZ7bGL5AZfWM7k6YLSiAUaNO6rmFEEIIIUTDKPaxk1Zbofjk4XXr1p3QzV51mfjcXl7O28GoXV35aGJH1PYZMH8+zJzZZOcQQgghhGgLTkZeO/GHsrYBS6/swsVf9+CT7nu4/On1EI3KjV5CCCGEEC2EBNnjeOOq07jgqzN4daDN76ZdDWeemewmCSGEEEIIJMg2yLvXdOPnfy/g1zNncMnzRclujhBCCCGEQIJsg/3vK08w7f1tvN5lJ5Oe25vs5gghhBBCtHkSZBvim29Qd+1iYZ80huzswtK8HUx7oeZbyoQQQgghRPORINsQBQUAqMOGsmZGDwbs6MziTtu49iWZZiCEEEIIkSwSZBuioADat4cePVBVhcJre/K9HbksyNzKz14pTnbrhBBCCCHaJAmygM/no97H6RYUwNlnQ+wlD6qqsHFGPr125fBEuy3Mfu1AM7VUCCGEEELENfrNXqeiK664grfffpvs7Gw6depEp06dyMnJcdazs8n58EM6XXQRnTZtolOnTnTo0AFdU/hiem/6PGMzt+cm5v59K4bXxOM3SQubtMekk2GS5zbommrSvb1Jn04mfXNN0t3y7wchhBBCiO9Kgixwyy238OMf/5ji4mJKSkooKSlh8+bNrFixgpLiYnx+Pzz3nFMAwzASoTc/OxtXIB1vBHzRKAE7ygElwn7d5nM9CkYUFBKjuQCEFJSwhh5RMaMauqaj6Gb1YpioRvyzdbRON1F0A9WI11mYVgouVyoeTypuw4Wlqrg0FZem4NJU3LpKiq7iMVQ8hoLHUEkxVFJMlfYelU5pGtlpGlmpGrqm1H6RhBBCCCFaGAmywA9/+EN++MMf1rrNfvllyidOpPijjyiBRNCtGnrbl+2lXTRa/biQM1UhaoM/ZOMLRfGHogQiNsGoTciOEsbGTxQ7GoZQCDschHAIQkFnPRT73Bi6Di43eDzgdoHb7RSP5+j6sZ9TUo4utVQULR1NS0M30jFxYUU0LFvDjVNSVY1UTSPN0Ghv6rS3NLI8Gh09eiwU6+S1c8KxBGMhhBBCnCwSZI9DWbuWtLw80kaPplcSzm/bNsFgkEAgQCAQwO/3J9bjnysqKvB6vZSXlydK/PORMi/fHinnyBEvZeVeyou/oaKigopyL76KcgK+8hrzg20gHCsB3aTcnQouD7hTsD0e8LixUz2Q6oY0jxOKPR4nCFddd7lBTUPR0tHVNMyIiRXWcUU1POik4ATidE0nw9TIMHUyXRpZHp3sVI3sVI2cdJ3OGRrpLhVVlVAshBBCiKMkyB5PQQEMHZq00yuKgmVZWJZ1Ur7ftm0qKiooKyvD6/VSVlaWKPV99nq9HCnex5FtXo4cKaO83IvfV1n7OYAQELY8+FwpTij2pGC73dgeN6S4IS22jAfhqiPHHg+YHlDT0NQ0dC0NQ/Hgihq4os4osScWitM0nXaGRoap0d6l0cGlO6PFqU7JSdPIzdAxdQnFQgghRGsnQbY+0SisXQu3357slpw0iqKQmppKamrqd/6ucDiM1+utEXjrC8aJsu8QpUe8eMvLKfd68fsqaj1HJFYCqkaF5XFGfWPFdsfCcIrLWVadSuFyVf+sekBLRdNS0NUUdC0FS0/FpVi4YsHYozrTKNJ0jXRDo52pkWFptHfHQrJHIytFIytVpWOaRoZbRo2FEEKI5iRBtj7bt8ORIzBsWLJb0irouk779u1p3779d/6uSCSSmDJRV6moqKg2naJqKS05QGmZs15RUY6/soJwKFjzPLESACoAdBPFcoKv7YoFYI8LPFb1MGzFPseLZYHlBtWNoqWgqm403QnJpp6CZaTgMjy4VQOP4oRkj6qSqmukGirphkaaqZFuqbR3aWS4VDqkaLT3aHRMUclM1Uh1ydMuhBBCiKokyNYn9kYvzj47ue1ogzRNIz09nfT09Cb7zmAwmAjHFRUVieKE3Yp667zeckrLyjlysBRv+V4qKirx+yrx+yoI+iuxo5HEeWyOBuQgUG3ChWmB6QLLBS7LKe5YKDbNo6H42KVlgeGKBWWnaJobTXVjaG4Mw4NpuHEZKbhMDx7dwq2qeFTNeWKFppFmqKSZTnBOs1TauTTaWSrt3CoZbpUOHo32KaqMLAshhGg1JMjWp6AAevZ03uolWj3TNDFNs0lGjI8VDAaprKykoqKiQcvKykp8Ph+VlZWUV1RypKyCI+UVeMt9VBz6Jra9koC/kqDfRzjoJxIKAE5QtoEoztxjf20N0rRYaI6FZcsCyzwaii3LCc6mWf1zfKm6QHOh6C5U1YWqudE0F7rmwdBd6LoL03BjGW5cpgeX4cZjmHg0DY+u4tZUUmKjzfHgnGqqpFuaE6LdKukulXYulfYpzro84UIIIURjSZCtT5Jv9BKtRzwkZ2RknLRzRCIRfD5fIgDXtl7XtsrKSkq9lZR5K/FW+imvqKSi0kfl4TL8Ph+BgI9gwE8o4CcU9BMJ+omGg9VGl4/7IDhVjYVnE0yjZjg+XtEs0CwUzUJRXSiahaa5UDUXmuZKBGhDt7AMN5bhwmW4cJluPJYbt2Hg1lQ8mopHd0r8ecmppkqa6aynuZzgnGappMdGo1MtRUahhRCiFZIgW5dQCAoLYdKkZLdECMCZbtFUN+Y1RCQSwe/34/P5al3WV+fz+Sgr93Gk3Ie3wlmv9Pmo9PnxlfsJ+MsIBPwEgwEnPIf8hIMBIqEA0VCAaCTstKExDVa1oyE6Ho6NWtarLqtu10xQTRTVAt1CVS1U7WjRNAtdM9F1N7phYeoWpu7CMpzitizcpguP6cJj6LjiI9OGils/+iISj6mSaiikuZyAnRoL1WkuhXSXisuQUC2EEA0lQbYuX3wBfr/c6CXaLE3TSElJISUlpdnPHQ6HE89Jjofjqs9Ojj9PubZ1v99PWbnfCdGVfsrKK6n0BfD5A/j8Pvz+AIEjAQKBI7EgHSAcChAOBYmEjobpSDhI5JhnLDeYrlcPyvH1htTphhOqNQtFM0C1UFQTVYsXC1UznWCtO+HaiI1Um7qFaViYhguXaeIyXLgtFx6XE64tzQnXHsN565/HUEkxFSdsG87IdKqp4rFU0qxY2LZkxFoI0XJJkK1LQYEzz3DQoGS3RIg2R9d1dF1PSoiOs22bUChU58tI6npBSXy90uen1OvDW+Gnwh+gojJAhc+p9wUC+AMBAv4AgcqAE6iDZYSCAcLhEOFQgEgomAjUdjhIOByCaKPGqKtT1VhQ1p3QXDVs11fi+2kGqKaz1ExU1UwsFc1A0yxU1XmNtp4I2iaGbmFoJoZuYhguXIaJaVi4TAu3aeGyLDyWhdswcGkKbt15rbbHiK0bihOyTRWPGRvZthTSLGeZajn1ErSFaJskyNaloAD69nUexi+EaHMURUnMfU5LS0t2cwBnukc8KFd9419ddfHPwWAQn8+PtzJAeWUAb4Wf8li49vkDVPoD+Px+AoEg/kCAYChIsCJAKBQkFPISDoUIh4NEQrESDjpzqMOhRNAOnejodVzVoH1s4K5aV9dSjYXtWOBWNAMltoyHbWdE20BTLTTdiE0XMZyRbd10ArdhYuoWlmlixZYuw8RlWbgtC49p4tY1XLozqu0+JnB7DAWPqZJiKHgspz4lNqqdaqnyMhYhmpgE2brIjV5CiBZG0zQ8Hg+eFvgP7HA4TDAYrBaeq5b66vz+gBOyfQHKKwJ4K/34/EEqA0FnSkggGAvZQQLBAKFg0Anb5c6UkHC43FnGpodEI2Gi4SDRcIhoJOyE7UgIO3zcWxYbJh6ujw3Umnb8z3rVwK0fDd2aiaLqzjQSVUfVTBTNWddio9yqZjrBWzNjo91O+DZNZ93STSzTwjIM3GYsfBsmbsvCpau4dCd0W7GlS1eckW/TCdweQ8VtKqSYTp2Eb9EaSJCtTWWlM0f2Zz9LdkuEEKJViE8HaYkhO8627WqBu7YSCAQIhUKEQqEa2yp9Ttj2Vgao9AWp8AWp9Aeo9AcTI9uBYJBgMBRbOoE7FAoRqgzGwnY54Ygzkh0JhZzAHQ/b4RB2JEwoEsIOByF202OT0LTaA/jxSjyAa4Yz6q3qoBkoqg6aiaLoqJqBohpHR71VHVU10HTTWWrOuqGZaJqBrhlOCNcNTMPEjIVyl2ViGSZuw8CyLFyG6YyAW878bpeu4NIVrPg8b13BZThTS9y6gst05nzHw7nHVGTaSRsgQbY2hYUQiciNXkIIcQpRFAXDMDAMI6nzrxuqavCOB+uqAbtq3bEBPBQKUekLUOELUu4LUOELOXO0/QF8gRA+fwB/IIQvECAYChEIBAnGvzsUIhRy5mWHAiFnpDvsIxIOxYoTvqORENGwM9IdiYQgEsaOhJ2RbzvadBdCURoWuo8N6/Gixop2dAqKM/rtBHNn+omeGAF3PjsB3Fnq6LqFGgvhznQUZ2nqJqbhBHHTMLAME8swcJlOKHeZhjMq7jJxxaekxMK4E8SPBnJneoqSmKbijgVxj6lgahLI6yJBtjYFBc4blfr1S3ZLhBBCtFFVg3drE41Gq4XqY4P4sXVVPwcCQSr9QSp8IWcuty+Izx/CFwg6xR+fZuLUBUPx8H30O8LhkFMCIcLhMJFQOZFIiEjYCeCRcIhoxBkBj09BsSNhZwpKLJTzXed9H0tV6w/eVT/Xtq1qGFc1UOMj404oj4dzRXNGxBOBXNWcGzE1PTY6bqAlpqkcDeaGZmDoRmyk3Bktt3QDyzCcueKmidt0QrrzVBQ1EcitWEB36c4jBJ3pKwpuMxbKDWfd6/sON6zWQYJsbQoKYOBA508qQgghhGgUVVWxLAvLspLdlBMWiUSqhexjy7EhvGqpGsYr/LFpKIGQE8KDQXyBEIFACH/QCeTBkDMlJRgKJUJ5OHx0GfY74Tsc9hOJlBMNh4jEwnc0EorNC3eCeDQSJhIL6XYkHAvlTThCHqeqtYfvY+uqfg4Gm7wZEmRrU1AA48YluxVCCCGESBJN09A0DZfLleymfGfRaJRwOFxvMHdCc819ArGRcGeEPEilL0ggGI7djOmMigeCIQLBEP5gKBbInbpQ1e8Lhyj/9iB72dqkv02C7LG+/Ra2b4ff/CbZLRFCCCGE+M5UVU08TjCZ1q9fz5AhQ5r0O9Um/bZTwdq1zlJu9BJCCCGEaNEkyB6roADS06FXr2S3RAghhBBC1EOC7LEKCuDss51JzEIIIYQQosWStHYseaOXEEIIIUSrIEG2qv37Yd8+CbJCCCGEEK2ABNmqCgqcpdzoJYQQQgjR4kmQraqgADp1gi5dkt0SIYQQQghxHBJkq4rPj1XkfcZCCCGEEC2dBNk423aeISvzY4UQQgghWgUJsnG7dsHhwxJkhRBCCCFaiUYF2UAgwB133EFeXh4ej4cRI0awfPnyBh1bWlrK9ddfT8eOHUlNTWXs2LEUFhbW2O8f//gHM2fOpF+/fmiaxhlnnNGYJp64NWucpQRZIYQQQohWoVFBdvr06Tz66KNcddVVzJs3D03TGD9+PB9//HG9x0WjUS666CKWLFnCTTfdxEMPPcSBAwcYM2YMO3bsqLbvkiVLWLJkCe3bt6dz584ozTVftaAAzjgDsrKa53xCCCGEEOI7aXCQXbNmDS+88AIPPvggf/jDH5g1axbvv/8+3bp1Y86cOfUeu3TpUlatWsXChQv5zW9+w89//nNWrlyJpmncc8891fZ94IEH8Hq9fPTRRwwYMODEftWJkBchCCGEEEK0Kg0OskuXLkXXda6//vpEnWVZzJw5k1WrVrFv3756j83JyeGyyy5L1GVlZTF58mRee+01QqFQoj43NxdN0xr7O76bcBjWr5cgK4QQQgjRijQ4yC1TmcYAACAASURBVBYWFpKfn09qamq1+qGx8Ldhw4Z6jx08eHCN+qFDh1JZWcm2bdsa2oyTY/NmqKyUICuEEEII0Yo0OMgWFRWRm5tboz5et3///pNybLNYswZUFYYMSW47hBBCCCFEgzU4yPp8PizLqlHvcrkS2+vi9/tP+NjmsPZ/N/Fl+n/yznP/Yt+uuqdICCGEEEKIlkNv6I5ut5tAIFCj3u/3J7afjGMb45ZbbiEjI6Na3dSpU5k6dWq9x5WXpVNafg6u/3Sxne18mvEppT1L0c/SyR2VS/+x/ck9veaIshBCCCGEqCn+FKqqSktLm/w8DQ6yubm5tU4BKCoqAiAvL++kHNsYc+fOrXUu7vGM2XUP0WiUXV/sYvP7mzmy+gjK5wqZizMxnzLZylY+bv8xpfmlGGcZdB7VmQHnDyC7c3aTtFsIIYQQ4lRS20Di+vXrGdLE0zgbHGQHDRrEypUr8Xq9pKWlJepXr14NwMCBA+s8duDAgXz00UfYtl3tubCrV68mJSWF/Pz8E2l7k3ntNUhJUTn//J70HNAzUR+NRtnx2Y5EuNW+0MhamIU+X2cTm1iZuZKy/DJcZ7u44I4LJNgKIYQQQjSjBs+RnThxIpFIhPnz5yfqAoEACxYsYMSIEXTu3BmA4uJitmzZQjgcrnZsSUkJr7zySqLu0KFDvPTSS0yYMAHDMJrit5ywZ5+FH/0Izj/feZxsnKqq5A/K55LbLmHmizOZsWkG4yrGkf1pNt/+/lu853rRD+t0/EtH1vRcw6L/WoT3iDd5P0QIIYQQog1p8IjssGHDmDRpEnfeeScHDhygR48eLFy4kD179rBgwYLEfr/85S9ZtGgRu3fvpmvXroATZEeMGMGMGTPYtGkTmZmZPP7449i2zb333lvtPBs3buT1118HYMeOHZSWlnL//fcDzsjuxRdf/J1/9LFeeglefx3uuguGDYPLL4f774c+fWruq2kaZw4/kzOHn5mo27drH2/PfptuT3Zj+ZLlBH4e4Kf3/BTLVfMGNyGEEEII0TQa9YraRYsWccstt/Dss89y8803E4lEePPNNxk9enRiH0VRarxWVlVV3nrrLaZMmcK8efOYM2cO2dnZvP/++/Tq1avavoWFhdx9993cfffdbN++nSNHjnD33Xdzzz33VBvRbUqKApdcAhs3wjPPOKOyffvCrFmwd+/xj+/cvTOzXptFt7Xd+GbQN2Q/mM2rXV/l1T++SiQSOSltFkIIIYRo6xTbtu1kN+K7ik8eXrdu3Qnd7HWsQACeeMIZlfV64cYb4Ze/hMzMBrZnxXoKbyukR2EP9p62l+x7szn/mvNR1Ub9u0EIIYQQ4pTR1HkNGjki21ZYFtx8M+zc6QTYJ56A7t3hd7+DiorjHz/4h4OZuX4m2lKNiBXBvNZkYd+FfPL6Jye/8UIIIYQQbYQE2Xqkp8Nvf+sE2hkz4L//G3r0gMcfh2Dw+Mf/4PIfcNXWq/A94cMqswheEuTJYU+y8V8bT3rbhRBCCCFOdRJkGyA7G+bOha1bYdw4uOEG+N734LnnIBqt/1hVVbnwPy9k8u7JHP7dYdrtbMfBcw7y5PlPsuuLXc3zA4QQQgghTkESZBvh9NOdm8E2boR+/eA//gMGD4a33oLjzTTWDZ3L7rqMi/dcTMltJWStzmLHwB08ddlTFO8pbo7mCyGEEEKcUiTInoB+/ZyXKHz8sTP94KKLYPx42L79+Me6U9xc+ccr+eFXP2T/NfvJfSuXtb3XsuT2JYRD4eN/gRBCCCGEACTIfiejRsEHH8CyZbBlixNw77qrYTeEtevQjulPTWfQlkEU/6CYTg934vkez/PRyx+d/IYLIYQQQpwCJMh+R4oCl14KmzbBnXfCn/7kvEjhpZeOP90AIPf0XGb9YxbuN9zYqk1kYoQnf/gke3c24AG2QgghhBBtmATZJuJ2O0842LTJmTc7ebLz2ttNmxp2/MiLR3Llzis58OsDZK/JZmPfjfzt5r8R8AdOaruFEEIIIVorCbJNrHt3Z/7s3/8OX30FZ50F/+//QVnZ8Y/VNI3J901mxLYR7D9/P7n/m8vL3V9m5fMrT3q7hRBCCCFaGwmyJ8n48fDFF3Dvvc5zZ/v0gcWLGzbdILtzNrPenEW7d9oR8oRgKjw5+kl2b9590tsthBBCCNFaSJA9iSzLuflryxb4/vdh2jQ491z47LOGHX/2BWczbes0vrnvG7I+y2LzwM0s+tki/D7/yW24EEIIIUQrIEG2GXTt6tz89c9/wsGDzhzaG2+E0tLjH6tpGpf/+nLO2XEO+8fvp/P8zrx6+qv885l/nvyGCyGEEEK0YBJkm9H55zujsQ895LxYIT8fnn76+G8HA+jQqQMzl80k8/1M/O39GDMMnhz2JNs3NuDhtUIIIYQQpyAJss3MNOG225zX3V5wAcycCUOHwhtvNGz+7MBzB3L1pqspfaiUDls7sGvILp66/Cn27dp38hsvhBBCCNGCSJBNkrw8+Nvf4KOPIDUVfvITJ9C++ebxA62qqlx6+6Wc9+/z2H/lfnL+nsPnfT7nqYkSaIUQQgjRdkiQTbLRo2HlSnjvPedZtBMmwLBhzuO7jhdo23Vox4yFMxi2axhFVxSR+2auE2gnPcX+f+9vlvYLIYQQQiSLBNkWQFFg7Fj48ENYvtx52sHFF8Pw4fDWW8cPtB3zOjJj0QzO3nk2RVOKyH0jl429N/LU5Kco2l3UPD9CCCGEEKKZSZBtQRQFzjvPmW7wz3+CYcBFF8GIEfD228cPtNmds5nxbCzQTi4i97VcPsv/jKenPC2BVgghhBCnHAmyLZCiOE84+Ne/nECr684LFkaOhHfeaWCg/dsMhuwYQtHkInJezWFD7w08fcXTFO8pbp4fIYQQQghxkkmQbcGqBtp//ANUFS68EEaNgnffPX6g7XRap6OBdmIROctyKOxVyNNTJdAKIYQQovWTINsKKAr86Efw8cdOgAUYN855W1hDA+21i69l8PbBFF1eRO4ruazvtZ6nr5QpB0IIIYRovSTItiKK4jx79pNPnCkG0agTaPPz4YEHYO/e+o/P6ZrDtc9dy6Dtgyi+rJjcl3P5oucXPDnySd598l3CoXDz/BAhhBBCiCYgQbYVUhT48Y9h1Srn0V2jRsH990O3bs7UgxdfhECg7uNzuuZw7RIn0B644QDuPW6s6yxez3qdp698mk2rNzXbbxFCCCGEOFESZFsxRYFzz4WFC6G4GP7v/+DIEZgyxXnhwo03QmFh3cfndM3hP+b+B1O/nor7LTeHf3CY7GXZHBhxgGfyn+Gle16i9FBp8/0gIYQQQohGkCB7ikhPh1mznGkHmzc760uXwuDBMHAgzJsHhw7Vfqyqqgy/cDiz3pzF2INjKX2olKgVJfO/M1nVeRVPnvckH7z4AdFotHl/lBBCCCFEPSTInoL69IE//AG+/hreeAO6d4fbbnNGaSdNcl6yEK5jOqwn1cOlt1/KtZ9fy+mfn07JtBLafdYOe4rNSzkvsfC6hezevLtZf48QQgghRG0kyJ7CdN15Q9grr8C+fU643bLFeclCt25w552wcWPdTz3o3q8705+azmUll8ES8J7ppdPCTuzsu5OnBzzNqw+/yrcHv23eHyWEEEIIESNBto3IzobZs53gWlAAl14KTzwBZ50FXbrAzJnOTWKHD9c8VtM0xlwxhlkrZzF833AO3XUIrVIj4/YM1uWs45k+z7Dw+oUUvFtAJBJp/h8nhBBCiDZJse3jPYW05Vu/fj1Dhgxh3bp1DB48ONnNaTX8fud1uO+845RNm5yXLgwf7jwVYdw4OPts0LTaj99WuI11z6+j8r1K8j7Pwx10U5payqEhh+jw4w6MnDqS3NNzm/dHCSGEEKJFOhl5TYKsSPj6a+cFC++8A8uXO09A6NDBeRnDuHFOuM2tI5f6fX4+fe1Tdr26C+tji857OxMlyr6u+wj/IEzPn/ZkxIQRGKbRvD9KCCGEEC3CychrepN8izglnHaa87SDWbOcm8FWr3ZC7bvvwrXXOnNpBwxwQm38zWKm6RzrcrsYc8UYxlwxBoCvt3/N6iWrCfwzQPaybCKLI/zD+gdFZxWR9qM0hl4xlO79uifvxwohhBCi1ZMRWdEghw7BP/95NNiWlIDHA0OGONMPhg51lj17Os+3rSocClPwbgFbl21F+VChy84uaLbGgcwDlPUuwxpkcdro0xh4/kAysjKS8wOFEEIIcVLJ1II6SJBtXtGoc9PY8uXOjWMFBfDvfzvbMjKccBsPtkOHOiO9VcPtwf0HWfXCKg5+eBD9C51OX3XCFXIRJUpJTgkVfSrwDPZw+rmnc9aYs0hJT0nODxVCCCFEk5GpBaJFUFXnJQsDBx6t++YbWLvWKQUF8Oyz8OCDzrbs7OqjtkOHduQns38Cs53toWCILz75gh0rd1BRUIG5ySTroyyCfwqySl1Fcedi/H38pA1No/s53Rlw7gAsl9X8P1wIIYQQLYoEWdEkMjOdm8F+/OOjdfv3w7p1TrBduxYee+zo28W6dHEe/dW7N/TubdC79yB+8F+D6HSPM3rrq/Dx+Uefs+uDXfjX+nFvcpP1XhYVD1Twgf4BxV2KCZ4RxOhp0OHMDpw26DTyh+TjSfUk5wIIIYQQotlJkBUnTV6eUyZMcD7bNuzZc3Q6wpdfwuuvw65dznQFcF61m58PvXu76d17GL0HDWPoFdCrF0RCXj57/zP2fbSP4IYg5m6TDqs6kOpPpZRSPuVTvsn8Bm9nL/YZNp7eHrL7ZdPj7B507d0VVZXHJgshhBCnEgmyotkoivNGsW7dYOLEo/XBIOzcCVu3Vi/vvONMWYg77bQ0evceTe/eo8m/FDp2g5zOUSwOcHjXNg59cQDvFi/sgpRVKWS9kYUW1djNbjabm/mm0zf4u/rRemik90qnQ/cO5Obn0rVPVxnJFUIIIVohCbIi6UwTvvc9pxzrm29g27bqAXfFCvjrX50A7LycLgeXK4cuXZwby7r2g9MuhJycEHqwiMjh3WjFR9C+8qPv0cn4LIOMcufpCMWx/5SmluLt4CXQKQC5YHWxSDs9jayeWXTO70yXXl3kGbhCCCFECyNBVrRomZkwcqRTqopG4cAB5yUOVcuePU7YXb4ciooMotGuQFcA0tKga1c4bTR0zApiKkcwI99i+A9jVrhJORKlXalOxz0KHd5JxxP0ECbMV3zFLmUXpe1KKc8sJ5Qdgo5gdDRw5bhIzU0lo3MGWadlkXNGDmkZaTKNQQghhGgGjQqygUCAu+++m2effZbS0lIGDBjA/fffz/nnn3/cY0tLS5kzZw7Lli3D5/MxbNgwHnnkEQYNGlRj308++YQ5c+ZQWFhIeno6kydP5oEHHiAlRR7DJByqCjk5Thk6tPZ9QiEoKqoZdL/+GrZtNykp6UhJSUd8vurHKQpkZtpkdoiQ5vHh0ctx2148ofak+ito93WQjK02WT6VHJ+FSoQgIYpi//EbfspTy6lsV0koI4SdaaN2VDGzTTw5HlJzUknrmEZGdgbtc9qTmZMpo71CCCHECWhUkJ0+fTovv/wys2fPplevXixYsIDx48ezYsUKvv/979d5XDQa5aKLLmLjxo3MmTOHzMxMHn/8ccaMGcO6devo2bNnYt8NGzZw3nnn0bdvXx599FG+/vprHn74YbZv385bb7114r9U1GrJkiVMnTo12c04KQzDGYHt2rX+/SoqnNHdkhJn6RSFkhKdAwfSOHAgjX0HcjlwAA4eBNteAlS/ZroeJdUTJsUK4NH9uBQ/Hn+AlH0B0naHyQjaZAZUOkQUUgiTQgQPZXg4jIdthEwv/hQf/lQ/odQQkbQItAMlQ0Fvr2N1sHBlukjJSiGlQwqpHVJJa59GWmYaGZkZ6EbL/+PKqdzXTha5ZidGrlvjyTU7MXLdkq/BL0RYs2YNI0aM4OGHH+bWW28FnBHafv36kZ2dzccff1znsS+++CJXXHEFS5cu5bLLLgPg0KFD5Ofnc+GFF7J48eLEvuPHj2fjxo1s2bKF1NRUAJ566imuu+463n33XX70ox/V+H55IcKJ+8lPfsLrr7+e7Ga0GpEIjB//E+bNe51vv4Vvv4XDh0msH1uqbqusrPt7NTWKpYdwqUHcaggXITzRMJ5olLRIlPSIQgpRPERwEcFFFBcRLCK4iaJolWBVorp8qG4fWkoALSWIkmZDCqhpKlqahp6qo6fqmKkmZqqJlWZhpVq427lJSU/Bk+4hJSOFtIy0Jn9Wr/S1xpNrdmLkujWeXLMTI9etcZL6QoSlS5ei6zrXX399os6yLGbOnMldd93Fvn376Ny5c53H5uTkJEIsQFZWFpMnT+Zvf/sboVAIwzAoKytj+fLl3HrrrYkQC3D11Vcze/ZsXnzxxVqDrBDNRdPAspzn3zZWMOgE2iNHoKwMvF6nOOsqZWUWXq9Vpe7osshrU1oaxVsGlT6FcPiYObgRoDJWqjCVEJYSD7wRXLaNy7YxiWIRxYwVK7GMYOLF5AiGEkbRAqh6ANUMohlBNCOMaoZQrRC6GUF3OcVwRzHcUUyPjZlqY7pVdI+GkWKgu3UMj8HBPQdZ8dwKDLeB6TYx3SaW28LyHC1ujxtXigtN0070vyIhhBBtSIODbGFhIfn5+dUCJsDQ2ATFDRs21BlkCwsLa03eQ4cOZf78+Wzbto2+ffvy+eefEw6HOfvss6vtZxgGAwcOpLCwsKHNFaLFMU3o1MkpjacAR8NdKOSM8FZUHC1VPx9dN6isNBL1Ph9UVtqUe8OUeyNUVkQprbTxVdr4/QqBgEIgoBIMqQRDGqGwBmHA39jW2hhEMRLLKGU8zoz/GIaOjU4UPbbN+Rxfr0DHi0YEVY2gqWFUNYISW6paBEWNoGlRVC2CqkVR9dhnI4Km22h6FE2PoppRdMNGN2w0w0YznXXdVNAMG90Cw1TQDTBcCoapYLgUTEvFdKnOukvFtHR0U0MzNHRDRzOdZXzdMAx00/msmzqGaWCYRmJdbvwTQoiTp8FBtqioiNzc3Br18br9+/fXe+yYMWPqPbZv374UFRVVq68qJyeHf/3rXw1trhCnNMOAdu2c0ngKYMRK/aJRCATA73dCcCDQ0KIQCGhUlIep8EYoLw+z7LUoY0b78fui+P02wYBNMAjBgE0oCBVBhVBIIRxSCYV1wiGFcEQlHFYJR1QiUYVIUCUaVYlEVSL20XKyqdhosaJWWapQrf7oNlAJoRFEJYoS26YoNqpiO3WKUx+vU5QoqhJFUeJ1UTYHKjg3bTvE91Gd+qqfFcVGTSyjKCrVlwrOfmpsP5XYsU69qsWW6tFlok6jWr3znSTqnf1q1jnrSpU6xSmJdec4TY/VqQpafJ/YsZquoCjO/pqmoGigaSqq6iwVFTRDQVUUp14DTVfRNIVvD5VTsHIbmqaCaqNpCrqmxdqkxM4bW9fUKvUqiqKgqAqapiXW66rTNC2xLv9gESI5GhxkfT4fllVzzpzL5Upsr4vf72/QsfFlXfvWdw6AzZs317td1FRaWsr69euT3YxWRa6ZQ9ed0tCHiaz/rIKb/t9XTd4O23bmLofDTqm6XrXu2BKvD4UiBPwRQsEIgUCEUCBKMBghFLQJBiOEgzbhUJRw2HaOCduEQzaRsE0k4tRF498b+85olfPYUecfBNGI4iyjCmHbWbej8TqwbZVoVMG2wY5tr6SSnewmGlGwbQWAqO2s28SWtlMHihOZY3Xx7VGU2HWKx2liJbY/zrGtQ/yWjshx9gsz7IflJ3yO+NWoeXWqf1aq7AvOU62pdVt8verxtW2n1vPF1+Mfav1u5dj/Fm2UKhUKdvV1pXrdofAhuhrv1b6/YtesV2Jtiq8qVaoTO9vV6qp+Z22/Kb5z4juO+U6n3dW/M/E91c5b9Ttq2T/+vceeu7bvO7YNSvV9/+0tYlDWKzV+Q52O+e/p2O+rUVfbda3jPLV9l1Nfx3o9bTy6XrUfVN2l5jWv52Pi2PLAv+s66wlrcJB1u90EAoEa9X6/P7H9ux4bX9a1r8dT+9uXcnNzycvLY9q0acf5FaI2Q4YMSXYTWh25ZidGrlvj7Su/INlNaKVOvK/ZxyxbjPoa1ASN/Tp8/Edpipo2fHN5spvQquTl5dX6l/cT1eAgm5ubW+v0gfh0gLy8vO98bPyHxeuP3beuc+Tm5rJ27dpajxNCCCGEEC1Dbm5ucoLsoEGDWLlyJV6vl7S0tET96tWrARg4cGCdxw4cOJCPPvoI27ZRqoxNr169mpSUFPLz8wHo168fuq5TUFDAxIkTE/sFg0E2bNjAFVdcUec5mvrCCCGEEEKIlq3Bs9MnTpxIJBJh/vz5ibpAIMCCBQsYMWJE4okFxcXFbNmyhXA4XO3YkpISXnnllUTdoUOHeOmll5gwYQKG4dx00q5dO84//3z+9re/UV5+dH7Ts88+S0VFBZMmTTrxXyqEEEIIIU4pDX4hAsCUKVNYtmwZs2fPpkePHixcuJC1a9fy3nvvMXr0aMB5+9eiRYvYvXs3XWOvVIpGo4wePZovvviC22+/PfFmr71791JQUECvXr0S5ygsLGTUqFGceeaZXHfddezdu5c//elPnHvuubz99ttN/POFEEIIIURr1ajnhSxatIhbbrmFZ599lptvvplIJMKbb76ZCLGA82gSpfr9aqqq8tZbbzFlyhTmzZvHnDlzyM7O5v33368WYsGZwrB8+XLcbje33norTz75JLNmzWLp0qXf4WcKIYQQQohTTaNGZIUQQgghhGgp5AnOQgghhBCiVWrVQTYQCHDHHXeQl5eHx+NhxIgRLF++PNnNatFWrlyJqqq1ljVr1iS7eUlXUVHBPffcw7hx4+jQoQOqqrJw4cJa9928eTPjxo0jLS2NzMxMrr76ag4dOtTMLW4ZGnrdpk+fXmvf+973vpeEVidXQUEBN9xwA3379iU1NZVu3boxZcoUtm/fXmNf6WtHNfS6SV876ssvv2TSpEn06NGDlJQUMjMzGTVqFIsXL66xr/S1oxp63aSv1e93v/sdqqrSv3//Gtuaor81+PFbLdH06dN5+eWXmT17Nr169WLBggWMHz+eFStW8P3vfz/ZzWvRbr75ZoYOHVqtrkePHklqTctx8OBB7rvvPrp168bAgQNZuXJljTnfAHv37uWcc86hffv2/P73v8fr9fLwww/z+eefs2bNmsSTONqKhl43cN7c99RTT1Wra3di79pt1f7whz+watUqJk2axIABAygqKuLPf/4zgwcP5tNPP6Vv376A9LVjNfS6gfS1uD179lBeXs706dPJy8ujsrKSpUuXctVVV7F7925+9atfAdLXjtXQ6wbS1+qyd+9eHnjgAVJSUmr8f0KT9Te7lVq9erWtKIr9yCOPJOr8fr/ds2dPe9SoUUlsWcu2YsUKW1EU++WXX052U1qkQCBgl5SU2LZt22vXrrUVRbEXLlxYY7+f/exndkpKiv31118n6pYvX24rimLPnz+/2drbUjT0ul1zzTV2WlpaczevRfrkk0/sUChUrW779u22y+Wyp02blqiTvlZdQ6+b9LX6RSIRe+DAgXbXrl0TddLXjq+26yZ9rW5Tpkyxzz//fHvMmDF2v379qm1rqv7WaqcWLF26FF3Xuf766xN1lmUxc+ZMVq1axb59+5LYupbPtm28Xm+15/0KME2T7OxswLlGdXn55Ze5+OKL6dKlS6LuvPPOIz8/nxdffPGkt7Olaeh1i2+PRqOUlZU1R9NarJEjR6Lr1f8o1rNnT84880y2bNmSqJO+Vl1DrxtIX6uPqqp06dKl2qiX9LXjq+26gfS12nz44Ye8/PLLzJ07t8YLsaDp+lurDbKFhYXk5+eTmpparT7+5/INGzYko1mtxowZM2jXrh1ut5uxY8eybt26ZDep1di3bx8HDx7k7LPPrrFt6NChFBYWJqFVrUdlZSXp6elkZGSQmZnJDTfcQEVFRbKb1SLYtk1JSQlZWVmA9LWGOva6xUlfq66yspJDhw6xc+dOHn30Ud59913mzJkDSF+rT33Xreo+0teOikQi3HjjjVx33XXVpvvENWV/a7VzZIuKimp9JW28bv/+/c3dpFbBsiwmTpzI+PHjycrK4ssvv+Thhx/mBz/4AZ988km9rxoWjqKiIoA6+9/hw4cJhUJtbj5ZQ+Tl5XHHHXcwePBgotEob7/9No8//jifffYZK1euRNO0ZDcxqRYvXsz+/fu5//77AelrDXXsdQPpa7W59dZbE2/n1HWdefPmJf6qKX2tbvVdN5C+VpsnnniCPXv28P7779e6vSn7W6sNsj6fD8uyatS7XK7EdlHTyJEjGTlyZOLzxRdfzMSJExkwYAB33nmnvD2tAeJ963j9ry3+D/7xPPDAA9U+T548mfz8fH71q1+xdOlSpkyZkqSWJd+WLVv4xS9+wahRo7jmmmsA6WsNUdt1A+lrtZk9ezaTJ09m//79LF68mBtuuAG3280111wjfa0e9V03kL52rG+++Ya7776bu+++m8zMzFr3acr+1mqnFrjdbgKBQI16v9+f2C4apkePHlxyySWsWLHiuPMbxdG+Jf2vacyePRtVVXnvvfeS3ZSkKS4u5qKLLqJ9+/YsXbo0MZdM+lr96rpudWnrfa13796MHTuWadOm8fbbb3Peeedxyy234Pf7pa/Vo67rVt+AWVvua7/+9a/JysrixhtvrHOfpuxvrTbI5ubm1jp9ID5cnZeX19xNatW6dOlCMBhs03N6Gir+p5B4X6uqqKiIzMzMNjlqcaJcLhcdOnTg8OHDyW5KUhw5coQLL7yQsrIy3nnnHXJychLbpK/Vrb7rVpe23teOdfnll3PkyBG2bNkifa0R4tdt69atde7TVvva9u3b+etf/8qNN97I3r172b17N7t378bv9xMMBvnqq6/49ttvm7S/tdog5opI7gAAA8dJREFUO2jQILZt24bX661Wv3r1agCZ69lIu3btwu1217h5TtTUuXNnOnbsSEFBQY1ta9askb7XSF6vl0OHDtGxY8dkN6XZ+f1+JkyYwI4dO3jzzTfp06dPte3S12p3vOtWl7bc12oTH1FUVVX6WiNUvW51aat9bd++fUSjUW666Sa6d++eKGvWrGHbtm2cccYZ3HfffU3a31ptkJ04cSKRSCQxARucIeoFCxYwYsQIOnfunMTWtVwHDx6sUffZZ5/x+uuvc8EFFyShRa3T5ZdfzptvvsnevXsTde+99x7bt29n0qRJSWxZyxUIBGr8wxPgvvvuA2DcuHHN3aSkikQiTJkyhdWrV/PSSy8xfPjwWveTvlZdQ66b9LXqavvf/VAoxKJFi8jMzEzcVS59rbqGXDfpa9X179+fZcuW8eqrrybKsmXL6Nu3L926dePVV19l5syZQNP1N8VuxZMip0yZwrJly5g9ezY9evRg4cKFrF27lvfee4/Ro0cnu3kt0tixY/F4PIwcOZLs7Gw2bdrE/PnzsSyLVatW0bt372Q3Men+/Oc/U1payv79+3niiSe47LLLEv86vOmmm0hPT2fv3r0MGjSIjIwMbr75ZrxeL3/84x/p2rUrBQUFbfJPcMe7bocPH2bQoEFceeWViX727rvv8vbbb3PhhRfy97//PZnNb3a33HIL8+bNY8KECbX+j/a0adMApK8doyHXbffu3dLXqvjpT3+K1+vlnHPOIS8vj+LiYhYvXsy2bdtYsGABV199NSB97VgNuW7S1xpmzJgxfPPNN3z++eeJuibrb9/plQ1J5vf77dtvv93Ozc21XS6XPXz4cPsf//hHspvVos2bN88ePny4nZmZaRuGYXfu3Nm++uqr7Z07dya7aS3G6aefbiuKYiuKYquqaquqmlj/6quvEvt9+eWX9o9//GM7JSXF7tChg33VVVfZBw4cSGLLk+t41620tNS+6qqr7F69etkpKSm2y+Wy+/fvbz/44IN2OBxOdvOb3ZgxYxLX6Niiqmq1faWvHdWQ6yZ9rbrnn3/e/tGPfmTn5OTYhmHYmZmZ9vjx4+3ly5fX2Ff62lENuW7S1xpmzJgxdv/+/WvUN0V/a9UjskIIIYQQou1qtXNkhRBCCCFE2yZBVgghhBBCtEoSZIUQQgghRKskQVYIIYQQQrRKEmSFEEIIIUSrJEFWCCGEEEK0ShJkhRBCCCFEqyRBVgghhBBCtEoSZIUQQgghRKskQVYIIYQQQrRKEmSFEEIIIUSrJEFWCCGEEEK0Sv8f5KbsXwK2g9gAAAAASUVORK5CYII=",
"text": "Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028FABBA8>)"
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Let's calculate the agent's beliefs about his individual specific parameters according to the Kalman updating formula:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "S = zeros(3, 40)\nS_f = zeros(3, 40)\nS_f[:, 1] = F*S_0[:, 50000]\nS[:, 1] = S_f[:, 1] + P_f2[:, 1:3] * H[:, 1] .* (H[:, 1]' * P_f2[:, 1:3] * H[:, 1] + R).^(-1.0) .* \n (log(yit[50000, 1]) - H[:, 1]' * S_f[:, 1])\nfor t in [2:40]\n P = P_f2[:, 3*(t-1)+1:3(t-1)+3]\n Ht = H[:, t]\n S_f = F * S[:, t-1]\n S[:, t] = S_f + P * Ht .* (Ht' * P * Ht + R).^(-1.0) .* (log(yit[50000, t]) - Ht' * S_f)\nend",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": "From this, we can also get the mean belief about $y$ as well as some upper and lower bounds - remember, \n$\\hat{y}^i_{t+1}|\\hat{S}^i_{t|t} \\sim \\mathcal{N}(H_{t+1}' \\hat{S}^i_{t+1|t}, H_{t+1}' P_{t+1|t}H_{t+1} + R)$"
},
{
"cell_type": "code",
"collapsed": false,
"input": "ybelief = zeros(1,40)\nyupper = zeros(1,40)\nylower = zeros(1,40)\n\nfor t in [1:40]\n a = H[:, t]' * S[:, t]\n ybelief[1, t] = a[1]\n yupper[1, t] = a[1] + 2 * sqrt(H[:, t]' * P[:, 3*(t-1)+1:3*(t-1)+3] * H[:, t] + R)\nend",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "\n"
},
{
"ename": "LoadError",
"evalue": "no method convert(Type{Float64},Array{Float64,1})\nat In[42]:9",
"output_type": "pyerr",
"traceback": [
"no method convert(Type{Float64},Array{Float64,1})\nat In[42]:9",
" in setindex! at array.jl:413",
" in anonymous at no file:8"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\n"
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": "a[1] 2* sqrt(H[:, 1]' * P[:, 3*(1-1)+1:3*(1-1)+3] * H[:, 1] + R)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": "1-element Array{Float64,1}:\n 0.730579"
}
],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": "a = [alpha[50000] + i*beta[50000] for i in [1:40]]\nPyPlot.plot([1:40], exp(ybelief'), label = L\"$\\hat{y}^i_{t|t-1}$\")\nPyPlot.plot([1:40], yit[50000, :]', label = L\"$y^i_t$\")\nPyPlot.plot([1:40], cumsum(exp(ybelief') - yit[50000, :]'))\n#PyPlot.plot([1:40], exp(a[:,1]), label = L\"$\\alpha^i_t + \\beta^i_t$\")\nPyPlot.legend(loc=0)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": "Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028B55978>)"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": "PyObject <matplotlib.legend.Legend object at 0x000000002E6F0DD8>"
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": "a[1:40]",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 172,
"text": "40-element Array{Any,1}:\n 2.14183\n 2.15055\n 2.15927\n 2.168 \n 2.17672\n 2.18544\n 2.19416\n 2.20289\n 2.21161\n 2.22033\n 2.22905\n 2.23777\n 2.2465 \n \u22ee \n 2.38605\n 2.39478\n 2.4035 \n 2.41222\n 2.42094\n 2.42967\n 2.43839\n 2.44711\n 2.45583\n 2.46456\n 2.47328\n 2.482 "
}
],
"prompt_number": 172
},
{
"cell_type": "markdown",
"metadata": {},
"source": "With each $P_{t+1|t}$ matrix, we can then do the Kalman recursion for the mean of beliefs:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "S_f = F*S_0\n\nfor t in [1:T]",
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": "We will use one matrix, S, to hold the current beliefs of agents, and one matrix, S_f, to hold the one-step-ahead forecasts given current beliefs:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "S = zeros(3, agents*abpairs, T)\nS_f = zeros(3, agents*abpairs, T);",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The first "
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": "Parallelizing Code"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "In order to parallelize code, we need to add processors using `addprocs()`:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "addprocs(4)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": "4-element Array{Any,1}:\n 2\n 3\n 4\n 5"
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "nprocs()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": "5"
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": "nworkers()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": "4"
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Notes to Self"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "There is no way to clear variables from memory, if we want to free up memory space the way to do it is:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "Large_Object = 0 # Replace the object with 0\ngc() # Run the garbage collector",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 100,
"text": "0"
}
],
"prompt_number": 100
}
],
"metadata": {}
}
]
}
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