{ "cells": [ { "cell_type": "markdown", "id": "49205efd", "metadata": {}, "source": [ "(GLM-robust)=\n", "# GLM: Robust Linear Regression\n", "\n", ":::{post} August, 2013\n", ":tags: regression, linear model, robust\n", ":category: beginner\n", ":author: Thomas Wiecki, Chris Fonnesbeck, Abhipsha Das, Conor Hassan, Igor Kuvychko, Reshama Shaikh, Oriol Abril Pla\n", ":::" ] }, { "cell_type": "markdown", "id": "06c2678d", "metadata": {}, "source": [ "# GLM: Robust Linear Regression\n", "\n", "The tutorial is the second of a three-part series on Bayesian *generalized linear models (GLMs)*, that first appeared on [Thomas Wiecki's blog](https://twiecki.io/):\n", "\n", " 1. {ref}`Linear Regression `\n", " 2. {ref}`Robust Linear Regression `\n", " 3. {ref}`Hierarchical Linear Regression `\n", " \n", "In this blog post I will write about:\n", "\n", " - How a few outliers can largely affect the fit of linear regression models.\n", " - How replacing the normal likelihood with Student T distribution produces robust regression.\n", "\n", "In the {ref}`linear regression tutorial ` I described how minimizing the squared distance of the regression line is the same as maximizing the likelihood of a Normal distribution with the mean coming from the regression line. This latter probabilistic expression allows us to easily formulate a Bayesian linear regression model.\n", "\n", "This worked splendidly on simulated data. The problem with simulated data though is that it's, well, simulated. In the real world things tend to get more messy and assumptions like normality are easily violated by a few outliers. \n", "\n", "Lets see what happens if we add some outliers to our simulated data from the last post." ] }, { "cell_type": "markdown", "id": "8a7e7bd7", "metadata": {}, "source": [ "First, let's import our modules." ] }, { "cell_type": "code", "execution_count": 1, "id": "33d93af2", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import aesara\n", "import aesara.tensor as at\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "import xarray as xr" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6efb067", "metadata": {}, "outputs": [], "source": [ "RANDOM_SEED = 8927\n", "rng = np.random.default_rng(RANDOM_SEED)\n", "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "id": "87df168f", "metadata": {}, "source": [ "Create some toy data but also add some outliers." ] }, { "cell_type": "code", "execution_count": 3, "id": "23188f24", "metadata": {}, "outputs": [], "source": [ "size = 100\n", "true_intercept = 1\n", "true_slope = 2\n", "\n", "x = np.linspace(0, 1, size)\n", "# y = a + b*x\n", "true_regression_line = true_intercept + true_slope * x\n", "# add noise\n", "y = true_regression_line + rng.normal(scale=0.5, size=size)\n", "\n", "# Add outliers\n", "x_out = np.append(x, [0.1, 0.15, 0.2])\n", "y_out = np.append(y, [8, 6, 9])\n", "\n", "data = pd.DataFrame(dict(x=x_out, y=y_out))" ] }, { "cell_type": "markdown", "id": "2ff56f93", "metadata": {}, "source": [ "Plot the data together with the true regression line (the three points in the upper left corner are the outliers we added)." ] }, { "cell_type": "code", "execution_count": 4, "id": "21e7220c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 511, "width": 711 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 5))\n", "ax = fig.add_subplot(111, xlabel=\"x\", ylabel=\"y\", title=\"Generated data and underlying model\")\n", "ax.plot(x_out, y_out, \"x\", label=\"sampled data\")\n", "ax.plot(x, true_regression_line, label=\"true regression line\", lw=2.0)\n", "plt.legend(loc=0);" ] }, { "cell_type": "markdown", "id": "95eb0915", "metadata": {}, "source": [ "## Robust Regression\n", "\n", "### Normal Likelihood\n", "\n", "Lets see what happens if we estimate our Bayesian linear regression model by fitting a regression model with a normal likelihood.\n", "Note that the bambi library provides an easy to use such that an equivalent model can be built using one line of code.\n", "A version of this same notebook using Bambi is available at {doc}`bambi's docs `" ] }, { "cell_type": "code", "execution_count": 5, "id": "fe7a91af", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [intercept, slope, sigma]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [12000/12000 00:06<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 7 seconds.\n" ] } ], "source": [ "with pm.Model() as model:\n", " xdata = pm.ConstantData(\"x\", x_out, dims=\"obs_id\")\n", "\n", " # define priors\n", " intercept = pm.Normal(\"intercept\", mu=0, sigma=1)\n", " slope = pm.Normal(\"slope\", mu=0, sigma=1)\n", " sigma = pm.HalfCauchy(\"sigma\", beta=10)\n", "\n", " mu = pm.Deterministic(\"mu\", intercept + slope * xdata, dims=\"obs_id\")\n", "\n", " # define likelihood\n", " likelihood = pm.Normal(\"y\", mu=mu, sigma=sigma, observed=y_out, dims=\"obs_id\")\n", "\n", " # inference\n", " trace = pm.sample(tune=2000)" ] }, { "cell_type": "markdown", "id": "614c71a1", "metadata": {}, "source": [ "To evaluate the fit, the code below calculates the posterior predictive regression lines by taking regression parameters from the posterior distribution and plots a regression line for 20 of them." ] }, { "cell_type": "code", "execution_count": 6, "id": "a29c8e3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "post = az.extract(trace, num_samples=20)\n", "x_plot = xr.DataArray(np.linspace(x_out.min(), x_out.max(), 100), dims=\"plot_id\")\n", "lines = post[\"intercept\"] + post[\"slope\"] * x_plot\n", "\n", "plt.scatter(x_out, y_out, label=\"data\")\n", "plt.plot(x_plot, lines.transpose(), alpha=0.4, color=\"C1\")\n", "plt.plot(x, true_regression_line, label=\"True regression line\", lw=3.0, c=\"C2\")\n", "plt.legend(loc=0)\n", "plt.title(\"Posterior predictive for normal likelihood\");" ] }, { "cell_type": "markdown", "id": "1fa82e3c", "metadata": {}, "source": [ "As you can see, the fit is quite skewed and we have a fair amount of uncertainty in our estimate as indicated by the wide range of different posterior predictive regression lines. Why is this? The reason is that the normal distribution does not have a lot of mass in the tails and consequently, an outlier will affect the fit strongly.\n", "\n", "A Frequentist would estimate a [Robust Regression](http://en.wikipedia.org/wiki/Robust_regression) and use a non-quadratic distance measure to evaluate the fit.\n", "\n", "But what's a Bayesian to do? Since the problem is the light tails of the Normal distribution we can instead assume that our data is not normally distributed but instead distributed according to the [Student T distribution](http://en.wikipedia.org/wiki/Student%27s_t-distribution) which has heavier tails as shown next {cite:p}`gelman2013bayesian,kruschke2014doing`.\n", "\n", "Lets look at those two distributions to get a feel for them." ] }, { "cell_type": "code", "execution_count": 7, "id": "285a756b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "normal_dist = pm.Normal.dist(mu=0, sigma=1)\n", "t_dist = pm.StudentT.dist(mu=0, lam=1, nu=1)\n", "x_eval = np.linspace(-8, 8, 300)\n", "plt.plot(x_eval, pm.math.exp(pm.logp(normal_dist, x_eval)).eval(), label=\"Normal\", lw=2.0)\n", "plt.plot(x_eval, pm.math.exp(pm.logp(t_dist, x_eval)).eval(), label=\"Student T\", lw=2.0)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"Probability density\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "33a11005", "metadata": {}, "source": [ "As you can see, the probability of values far away from the mean (0 in this case) are much more likely under the `T` distribution than under the Normal distribution.\n", "\n", "Below is a PyMC model, with the `likelihood` term following a `StudentT` distribution with $\\nu=3$ degrees of freedom, opposed to the `Normal` distribution." ] }, { "cell_type": "code", "execution_count": 8, "id": "60271a05", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [intercept, slope, sigma]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [20000/20000 00:11<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 4_000 tune and 1_000 draw iterations (16_000 + 4_000 draws total) took 12 seconds.\n" ] } ], "source": [ "with pm.Model() as robust_model:\n", " xdata = pm.ConstantData(\"x\", x_out, dims=\"obs_id\")\n", "\n", " # define priors\n", " intercept = pm.Normal(\"intercept\", mu=0, sigma=1)\n", " slope = pm.Normal(\"slope\", mu=0, sigma=1)\n", " sigma = pm.HalfCauchy(\"sigma\", beta=10)\n", "\n", " mu = pm.Deterministic(\"mu\", intercept + slope * xdata, dims=\"obs_id\")\n", "\n", " # define likelihood\n", " likelihood = pm.StudentT(\"y\", mu=mu, sigma=sigma, nu=3, observed=y_out, dims=\"obs_id\")\n", "\n", " # inference\n", " robust_trace = pm.sample(tune=4000)" ] }, { "cell_type": "code", "execution_count": 9, "id": "4109b14a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Posterior predictive for Student-T likelihood')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HENBnndtERERERERERL1SrSrmF4B6HahU/CJ07NbdeU89KfjC54B33gVefV3x5puAdZ2vR5HvPX7+I4KTT4NhI62bPzsAOHNWUW+s/3o8O2B4MNwmIiIiIiIioqGhqj5EfU3x5peXhagGOH1a8cJzDFF3mojg1Eng1ElBtapYuAnUasDYGHDwAF90oM3zZwcAL53TdS1gemLWT2wz2B4ODLeJiIiIiIiIaChcvKQPDLisA85fAM5fUMzOAGfPgAHXLhgfF4yP7/Ze0DDpxdkBPNNjMDHcJiIiIiIiIqKB99bbuqFqgsvvAR9/UXHuJbDfmWgIbObsAJ7pMfgYbhMRERERERHRQLt4aWPBdqbe8F29r7zMCW6iYbKeswN4psdwMLu9A0REREREREREm6XqA6qNBtuZegP49GcUqtrbHSOivvXW24qPv7i+jm6gc6bHW2/z50S/YbhNRERERERERAPrnXex7oBqLd+47LdDRMNvq2d6XLzEgLufMNwmIiIiIiIiooH16uu9CZpe+yIDK6JhxzM9hg/DbSIiIiIiIqJdUK0qLr+n+E9f9W+rVYYlG1WtKt58szfbeuMN8DEgGnI802P4cEFJIiIiIiIioh2iqnjnXeDV1xRvftkvWJaJDHD6tOKF5wQnnwZEuHDZw8wvdN+HW2EdsHATD12EjogGVy/P9Dh1kj+j+wHDbSIiIiIiIqIdcPGSPx1+ralB64DzF4DzFxSzM8DZM8BTTzI8eZB6vbfbq9V6uz0i6h/bcabH+Dh/Ru821pIQERERERERbbO33lZ8/MW1g+3lLr8HfPxFxVtvsybjQSqV3m5vbKy329ttrL4h6tiOMz1o93Fym4iIiIiIiGgbXbykOHN24wuY1RvAmbOKV17mBPdaDh30dS69CKyiCDh4YOvb2W2sviFaHc/0GE6c3CYiIiIiIiLaJqq+imSjwXam3gA+/RmFKiduVzM+Ljh9ujfb+tBpDHzFwMVLio9+TPHiTyrOv7Ey9M+qb178SX+5i5f4vKLRwTM9hhPDbSIiIiIiIqJt8s67WHcVyVq+cdlvh1b3wnO9CaSf/8hgB9usviF6sOxMj14YljM9hgHDbSIiIiIiIqJt8urrvQkOX/siA8i1nHwamJ3Z2jZOzPrtDKqtVt9wgptGAc/0GE4Mt4mIiIiIiIi2QbWqePPN3mzrjTfAxQDXICI4e0ZQKW/u+pUy8MlPyMD2T7P6hmj9eKbH8GG4TURERERERLQN5hd6s9Ah4LezcLM32xpGTz0pOPfSxgPuShk495IM9IKdrL4hWj+e6TF8GG4TERERERERbYN6vbfbq9V6u71h8+wzgldelnUHVydmgVdeFjz7zOAG2wCrb4g2YtTP9BhGDLeJiIiIiIiItkGl0tvtjY31dnvD6KknBV/4nODlXxZ8+AdWLh4XRcAPfhh4+ZcFn//sYE9sA6y+IdqMUT7TYxjFu70DRERERERERMPo0EEfrvaimiSKgIMHtr6dUSAiOHUSOHVSUK0qFm76qfexMX8fDtMicNtRfTM+3pvtEfUzf6YH8NI5XVetz4lZP7HNYLv/MNwmIiIiIiIi2gbj44LTpxXnL2x9Wx86PVyh7E4ZH5ehDmtZfUO0ef5MD983/+rr/iyI/ItFUeR/9j7/EcHJp8Eqkj7FcJuIiIiIiIhom7zwnOD8ha1XPTz/EYYqtBKrb4i2ZpTO9BhWDLeJiIiIiIiItsnJp4HZGazrtPe1nJj12yFajtU3RL0z7Gd6DCsuKElERERERES0TUQEZ89sfOGyTKXse155Ojytxlff9GZbrL4hokHEcJuIiIiIiIhoGz31pODcSxsPuCtl4NxLXMCMHuyF53rz/GD1DRENIobbRERERERERNvs2WcEr7wsmJ1Z3+VPzAKvvCx49hkGjvRgWfXNVrD6hogGFcNtIiIiIiIioh3w1JOCL3xO8PIvCz78A74rOS+KgB/8MPDyLws+/1lObNP6sPqGiEYZF5QkIiIiIiIi2iEiglMngVMnBdWqYuEmUKsBY2N+MT92HtNm+Oob4MxZRb2x/uux+oaIBh0nt4mIiIiIiIh2wfi4YOa44Lu+079lsE1bweobIhpFnNwmIiIiIiIiIhoCvvoGeOdd4NXXFW++CVjX+XoUAR867RePPPk0WEVCRAOP4TYRERERERER0ZBg9Q0RjRKG20REREREREREQ2h8XDA+vtt7QUS0fdi5TUREREREREREREQDh+E2EREREREREREREQ0chttERERERERERERENHAYbhMRERERERERERHRwOGCkkRERERERERERETbrFpV3LyVolZTWKs4eEAxPi67vVsDjeE2ERERERERERER0TZQVbzzLvDqa4o3/zfA2nvtr0UGOH1a8cJzgpNPAyIMujeK4TYRERERERERERFRj128pHjpnOLye6t/3Trg/AXg/AXF7Axw9gzw1JMMuDeCndtEREREREREREREPfTW24qPv7h2sL3c5feAj7+oeOtt3c7dGjoMt4mIiIiIiIiIiIh65OIlxZmzinpjY9erN4AzZxUXLzHgXi+G20RERERERERERLTtqlXF5fcU/+mr/m21OnwhrqqvItlosJ2pN4BPf0ahOnz3zXZg5zYRERERERERERFti64FFb/se6Yzw7ig4jvvYpUqEsVU4R6OVK7hcOUGUlfAH935biylU6tu4xuX/XZOndzefR0GDLeJiIiIiIiIiIio50ZuQUVn8e++OI/37/Eh9sHyAg6UFrC3eBelqHuU+/sOfhn/w1f/WyRaWnVTr31RcerkAN8XO4ThNhEREREREREREfXUW29vrHc6W1Dx3EvAs8/0eaibNiFL85DFa5DF6zC1m5DqTdilu/jg/QQfmH34JvaVbmN6bA7frJ5Y9etvvOFrXMbH+/y+2GUMt4mIiIiIiIiIiKhntrqg4isv98kEd3PJh9eL14CleZjaAqR6C9JcBNStuHijplhvVXbDlnG9fnTNr1sHLNwExsc3u/OjgeE2ERERERERERER9USvFlT8/Gd3qINbFajfhSzOwSzdgCzOQ2o3IbXbkKQKbGBdR5s+5Osa4W5rL27UD+PCjR9E01UeePlabf23PaoYbhMREREREREREVFPrL6g4sZsy4KKLgWWFmCWrkPuX4epzgO1W5D6bUja2vDm0lTRaPpAO4qBcsm/BYCmLeFOax9uNfdjoXEQC/VDuJ9MoBw38OjYHJq2hLutRx56G2NjG96tkcNwm4iIiIiIiIiIaBOqVcX8AlCvA5UKcOggRr4j+dXXNzDq/ACbXlAxbUIWr4c+7Bsw1QVI7RakcRdwdot7pbh9B/jWt4D5BWApGced5j7cbB7AreYhTD+5D299vYB9xdt4bPwKjlau4rse+d+xt3gbY4UaYumMdv9Y/dfxyT/4h0i0vOotRRFw8MAWd3cEMNwmIiIiIiIiIiJaJ1XFO+8Cr76mePPLvhs5Exng9GnFC88JTj69Q7UafaRaVbz5Zm+29dAFFZv3/QT20jW/uGP1pg+xm4tYd/H1ehgDLU1hobYPr/67A/jqlQO4n0wgEoujlRuYHpvDk1MXsb/8v2EyWcR/+T0P6mNRGDgoBEcq1/HE1J/gq/e+e9VLfug0XyhZD4bbRERERERERERE63Dxku+TXqt2wzrg/AXg/AXF7Axw9kyfLIy4Q+YXusP+rbAOWFhwGJe7MPeuQpauQ6oLnT7sVo8LqU0MHdsLN7YPGDsIV94DNQVIUsOV//0avvLbV3Ei/hpOnbiDsbiGSNaaAvcBthGHSCwicTDttyki8eH2UjKO6/Uja+7O8x8ZnefNVjDcJiIiIiIiIiIieoi33lacObv+hRIvvwd8/EXFuZeAZ58ZjaCyXt/c9SJJcah8A4cr13GodAMHyjdxoHQTh3//DkqTSW93Mi7Dje2Djh+AVvZBCxWoAqZ5F7J4DebOtyBX/gPi1hJgW2jUHVrvAd/TVZGtEGgIr+2yINsH2CIKIw4GChEHIwpVhcKgYcv4VnUG1hVW3cUTs8DJp3v7bQ8rhttEREREREREREQPcPHSxoLtTL0BnDmreOXl0ZjgrlQe/PWSqeNw5RqOVG7gYHkeB8sL2F+6hUcKd2Fk5ch3bABgE/ebCLQ4Dq3sh47vhytOAiaCuMRPfS9dQzT3LqR5F0jrflXI1TiL61ctCrAw0doBtiAE2aIAFKoCqxESV0DqYqRaQOJiAIpIFE4Fk4VFVKIa7qd7uu/DMvDJT8jIVdpsFsNtIiIiIiIiIqKACwTScqq+imSjwXam3gA+/RnF5z87/B3chw763vGKuYcjles4UrmOQ+V57C/5EHu8UIVgfX3YIkC59JALhT5sHTsALe+BRgVADJDWYao3YZauATf+GHFSA2wC6CpVIur8QpNqAecgGt63Fq2mwzgcTCkXYEMhonDqC0gSFyN1RR9kawynBkYcYrGITYKCSVAxdUSSwoSH3ylQjFoAugP9Shk495KMxAshvcJwm4iIiIiIiIhGGhcI7H+7+aLDO+9izY7t9frGZb+dUyd7sEP9Qh1QvQmzeB2ydB1mcR57ajfx8v/xNu7Mb7KfJOfwISCOw2McFaCVvXBj+4GoBI0iQBXSXIKpzsMsfBXSvA+kLcClft+W7+saATbg/NdVw1sfZEMVaR0oGoM0TGFnAXbqIhgojHGIJUXBJBiPq4iMn+wG/OYcDFQFTg0SLcKpgYPAugIatoyJQhU3mn4XT8z6iW0G2xvDcJuIiIiIiIiIRhYXCOxf/fKiw6uvr2/S+GFe+6Li1MkBfO7YBFi6AXP/GmTpBkxY1BH1O5BV6jyeeFzx1vzmbqphy7jd3I/7yQSe+oEY9ogBXApp3IcsLSC69XVI2gBc4vcrb9UA24XKkeUBtkIQPgb8tLcI1MSAKUGjIhwiXLuOEGBbRCZFKWpg3PiebUHYHAxcCLBTF6MVAmynMawaWPUB99iYoFZTCIBUY1yvH8Ht9BB+8MN+8Ui+eLY5DLeJiIiIiIiIaCRxgcD+1S8vOlSrijff7M223njDb69va25aNcjiNcji9VyIfQvSuL9yEvoB9u0FJiaApaXVv64QLCWTuNN8BIkrwCKCKFAwLewt3cHMxGUcmKxippVALqV+Ert95a0E2AAQQcUAcQEaFaAm1Ji0t5f6baWLQJriYGVlgG1dhEQLKwNsSDvw9l3cgKjCiMLCYN/+CIeORLCmjCSawt49fwq/+qkJjE+ZTT5gBDDcJiIiIiIiIqItGsSeai4Q2L/66UWH+YXuifGtsA5YuAmMj/dme5uiCjTuQRavwizegCzdgNRu+hC7VcU667AfQvDd71f83lci3Ko/grqtwDrT7qIuRQ3sL9/GdGUOBZOgYFqITYpIfB92ZBxmHrWQhgJqIW4DATYAiIFKBEQx1MShhzvy180CcZcCSR3GLXWC+2x6GwYwBlbKqKYCpxGsRnBqwt0jyO6oSBwkvPWXM7AawboY1XQMtXQc1XTcV5C8v4x9h8qoVMYwFhVQlAqSuArgYcXi9CAMt4mIiIiIiIhow/qlMmIzuEBg/+q3Fx3qW6+O7lKr9XZ7a1IHLN2EWbzq+7CXFoDaAqR2B5I2e3tbcREurkDjIiARBAYTEyn+9J9ZwqV3r6EgDcTiF1YsSAIRH0hHYmHEv43EwYhFHKXYt0dRcgrUQ5ANhehqAbYBTAQ1Rd/JbWIApt25Lc4CtgWT1v20d7heJ8AWaFQMnwvbEoMsvFYATauIpLOQpNUIFgLnYlhEaNgSqukk6mkZTVdCy5bQckUkLkbBWBRNE8WohXLURFmbMNX7QKsIBSBSAgpjvX0sRhDDbSIiIiIiIiLakH6pjNgsLhDYn/rxRYdKpSebaRvrdZaZtoDF6zBL1yCL+SqRu2HSuYeiIlyhDJEIKgJAgLQJ01qCqd0GbAJxSejDTnFEHfY+meLGdQebdALsLNQWURi49vuFyGF8TBEZANmumwgqka8PMXF4K4ALU91qAWchrVqoKNGVAbYUgMgH7zCR/5pKqCkBRIFsIlzUAhJBTYS4GCFxBlVXRDUdQ9OW0XIlNF3RLy5pC4iMomia/nsAUIqaKEUrXzwQAcrlCCiUIeNTQGEMGk8CaR0olHv7OI0YhttEREREREREtG79VBmxWSO/QGCf6scXHQ4d9Gci9KKaJIqAgwc2eeXmUujDvuYD7KUFSO02pHmve6J5y7TdRS3GADBQdZC0CWktwtRuAi6FsWFBR5eEDmy3aoVIWRXHDzokLUWz4ZAmCglBcCYqGBTLEQrFGBADF2pERAHNAmx1ENuEJDW//eUBtokBCfUjEgJsIAxhC/xHGia4FWIi+P7tCBqF6xRKQFzxNSZREWoKuHctxvUbvnYkIwCKJkHRLFvQEoDVGE1bQtOV0LBFaFhMcmYGMHsVmtTgqneAaAn6yDhQmuzhYzeaGG4TERERERER0br0W2XEZozUAoEDph9fdBgfF5w+rTh/Yevb+tDph3TRqwL1OzD3r/ou7Oo8pJr1Yfewz0QVgGt3UasYHzY7C7ENSLMOsQkkC7Bty4fVakOA7cICjGFhx1z/NUL/tSxbgLIYCwqTMRR+8UUHAzExotjAILdApLOQtOW3A4F0TWBHQByH8DoLtzv3pwDtkB2qYXo/ghoDldhfoljwk9JR0VeSmLjzR7oXdhQAM487LMx3332pK6DhSmjaIpxGUM32Q1EwKcbiJRwp38JE4T4qUR2VqIHH9jQRf7Xlw38RwESI9nwT6fv/a6DIeHYreO8RERERERER0UP1Y2XEZgzdAoFDop9fdHjhOcH5C1sP3p//SNgfZ4GlGzCL1yFLN0If9k1I/XYIdntAfW0HoGGqOQpTzNpeUFGSBuCSMIXdBJLmygC7HWJru/+6vZCjrjyQ1EShPiTqLOwoEsLzFOIcYrUQTQBXB1pYViFigDjKBdhYFmCrX8tRLaAh0M6msI1AEG6zUAaiEjSKAYmBKAbiMmAKD7/vBNCoBERF7DkaIS0J7t/vfLlsGpgs3MfRyiIqpoZKoY6yaaAUtVAwKQzC/QTAwSCKBKWCABLBRQZVA5QhMHe/Ccz/Z+DRU5t7jAkAw20iIiIiIiIiWod+rIzYjIFdIHDI9fOLDiefBmZnNv78L0gDhyvXcbRyHX/qsRv4QHIT5vwtSP1uCIp7wFnAJb5qOoqhIhBIO/yFWkja8H3YaRNIm34Se0WAHRZvXEeADTFQE/sgOgvNQ4gNl7YnusUmEA11ILkA218/C6/DBLZfYRF+8UiEfcgF2OFygPjLR7EPquNSe/Ja4xI0rgBRYcUU9srvQaBxCZBwn4lB9vKFOAskdUj9DqRVxw89WcW1b9VRlBZiSRCLbVer+HvHwKmEqfQICQzumBTX4xauF5q4P9HCNdPCHFq4ghaq4VrTpoi/fvs/4PSxk1yYdgsYbhMRERERERHRQ/VjZcRm9P0CgSOqn190EBGcPeO741c7c2E8XsSR8nUcqVzDoco8DpQWsK90GxOFRQgUUQR84FkgurnJ5726Tj1IqNjwObCv7vD1HQ5Iar4bO234ENsluQDb5bqx1xNgC1RiX92RqwARMeF6aagRSQF0fjYoQggtJnRZhwAbnQ7sdnidfW9ZgK3Ikmz/J5sAj4o+sI6K0LjsJ7Djkg/UHySE8F0hehaeuwTSWPT3WdKAJHWIrYcKFguBhYZgfhwGjx8U3L5joApYREjVYCFq4UbcwrXYv70etXA9bmE+bqElD/95eRUt/MLbn8J/Wyzhx/4PH33o5Wl1DLeJiIiIiIiI6IH6uTJio/pmgUDq0u8vOjz1HcA/+tQt/Mv//ir2mBs4WJ7H/tIt7CvdQiVaO5mPIuDpp4GpyYc831XD1HMTSBNftZGfPs5CXpdC0mqYwm4AtgmxdpUAu9N/DXVrBNgICyqWQoWID6ElC5izKWyXIkTbflfD9HR7AhtZeBwia5EwsY1cnUnIrZ3r3DjEX8dEEBP7/YjLfqI6C7GjOLvm6kTa1Sdd95ezEJdAGktA2oQkdT+NbZtQm4RqFtu1nfb1BVBEaIjDVbQwhzqulFr49uEWvpm2cC1qYiFK4Hr0I+x//MrP40OzfwFTpb292eCIYbhNRERERERERA/Uz5URG7WjCwTSuvXNiw42zfVhX4epLgDVm5D6HXzQJvjO/1rxR38MLC09fFMTE8B3vz8XbGc92LblA1e1PthtTzVHPsQuVPxlWjWIbcC1mrDNFuAsDCwicX5SOzd9vWaADYQp6mLopu6E0CISwmtfbWJU29UfWUgNMYCJQqCdTT+HzfpvCnBZkA6/D1kVSRZKZ9uRCFoYBwplP4EderERFXxAvRp1UF+snasl8XsgNgVs6oP+pAFJ6yHwTyGu1ZlSb++KyfJ0z0RYhG3XhcyhiTnp1IfclHTl/jxkWHwz6mkV37xzCd995IO93/gIYLhNREREREQ0QKpVxfyCP4W/UvGBEMM12m79XBmxGT1fIJC2bMdfdEjqkMXrkMVrkKV5mKV5SO0WpHE3hLOrm5oU/Bffp7h9B/jWt/wLP/mLiwBHDlk8Pp1gz2QLkjahVQDtaecswC772oukDg1VIhKqRLIJ7FbToV5TJImDgULEwYhCoIhjoFQC4izZEwM1hTDxHYVAOMuBw0S3TXwNicB3TGc91ysCbEBVQhCcLeAYwnRnOz3a6nuns5luFQNEuQnsQhmIKz7Ajgu+G3v5FHb4XlXU75MIROH33zoIrO/ATls+vE7qEJdAbct/PptYR+4+zm9eBLcl7QTYIbzOPr4vFv2glizu9i4MLIbbREREREREfU5V8c67wKuvKd78cvdkY2SA06cVLzwnOPk0uCgVbYt+r4zYqM0uEJh3YtZvh3pnW150aNyHLF6DuX8VUl2AVOchtduQ1lK+KnqDBPv2OOybTGBbCZJ6Ay5tITKCQkFgCsbXbKAALU4ArgUkTd/tHBZ37Cy8uHIC26aKek3hnI+Ci6Etw6nAqkHqYtjUQOsGcQzs3QsU4jCl7FJAE5gwqazZ74QQYAMSPrdKB7Z29kPyE+G5WW01UejCLoQJ7IqvESmUfW2KWb6Yo+a+1zBCLQKo+oHqrLLEJkDahEmyqpUkdIZnAXa2MKUJe9JhRTCPpCvAvoJWqBRpoS49Ou1km5SiCr7nyPft9m4MLIbbREREREREfeziJcVL53TNEM464PwF4PwFxewMcPYM8NSTDLipt/qmMqJHHrZA4MNUysAnPyF8ManHNv+ig2Jf8Ramx67iu49fxwd0AfLlW5D6bUiyiQe4vVn1k9Q29YFr2vAfw7QnpCMTIZooASgCaQtIG5BGE2KbENsKvc5ZaJyvEMmqO7olKbC05APsVGM47QTFRhwMHCJjUTAJVAXOGdy7LZh6BCgWjV94EWGKGlkjh3Ruq10h0gmwJQvYAfjwO0xgxwUgKkELlbCQY8n/MXFuCjsXXtu0a4paVcP6kD7MRljoUmwTsC2IbflqEQ0B9gO0RHGtHWA32wH2HFq4hgTpOhZw7FcfPflTqBR2qadpCDDcJiIiIiIi6lNfeUtx5uz6w7fL7/mw7txLwLPPMHSj3hnGnuqnnhScewkbOsYAH2yfe0n4ItI2eNiLDrG0cKg8j8OVazhSvoED5QXsK93C3tJdxJIgioAPPAtE1zfw2Ki2O6fhWpAkLNSo1leIRLGv+TBFaGHMh7dpvV0jIrblJ7GXTV+3J57XqjgRA0gMNTFgDBR+Hclb932AbeBQipqh0trAhSUdAUHiCj6K1s5M9a27ggP7FIUi/KKNoa5DVCHZwpLI+qdNp8YkjuCiol+8MQuxo5L/vk3BB9NhUUm4NAT9FpAW2oF41petAFoNiG1BbQLjmr5OpKs+ZO0Quhr6r9t/cv3X80jaVSvD4lDpAP5PT/9dvPCn/sZu78pAE9UHFAkNuDt37uz2Luw4EcGePXsAAHfv3sUQP7xEI4/HO9Fo4TFPNDqy4/0/fTXFRz92b1Ndx5Uy8MrLDN+ot/7gHcWLP7n13z8v/7Lg1Mn+eW4+7OyIvBOzfmK7l8cWf8ev9B9+v4r/1//zKvZG13CovID9pQXsL93GI8W7uYqMblEEPP00cGDfGo9NO5xN/ORwGkJsIEwiFzqBrwigqZ/6zk0aL5++RldwvIpsAUYT+yA734Otzt+GCxPLIrh9xyCxPsB24cKqnQqR7DvLd2+L+H0woogjh6nJ9oUAGGgUd2pE4lIIsCtAXPRT3hKHADvthPx+A53vI1uIEvAhtWuF+7Hlp9VtAlHbPaW+CoXiHmx74np5gH1ntQUch8CB4h5MV45ievwYjk3N4H2HvwuPHfxTODz53TBdFS6jYe/evT3dHie3iYiIiIiI+oyq4hOfXNr0In71BvDpzyg+/1l2cFPvDGtP9VNPCr7wOfhe+9cVb765rNc+8tPmz3+EvfY9V78Dc/8aZOk6ZGkBUluAVG/hz7aqeP//WfFHfwwsLT18MxMTwHe/H5iaUB+2ujQE2D6chk18QGvi9oKOagpAqRgC2gYkqfkpY831Q687wDahizpq14HkF3IUmwBIAAhgTDt4hkQ+fBag1QIaKeBLRByM+ClnY3y0bcSFt539UPipbusiNF2MpaSA+JEiylMVIOvCNgV/mwgT2Oqnr8UmUJv6HF98xQpE/OVdClELta0Q7of7NN9/vUaA7aC4ibSrPqS9gKO0UEV/919vhoHBkfJBHB2fxrGJx3F0ahbTj7wP03ufwtG9T6AcdxYZ4ItZvcdwm4iIiIiIqM985a0UX/v6g/tHH+Ybl31Yd+pkb/aJaJh7qkUEp04Cp04KqlXFwk2gVvMLXx480B81KgPLWaC6ALN4HbJ4Haa6AFQXIPU7kLS55tWmJgX/xfcpbt8BvvUtYH7BZ6oCh9ikKJgUhw8kOHqgiamxJtBsAA1t14jAGD8xHVcgcdmH3ImvzID6cHf9AbaEEDvqhNgIs83ZNLdLIWnqW6izoDgLvqNS2A6gkFBXkk2BA4AiqSkqkULEYfmzzSlgNW73cKeugLoto24raNoyrEZQ9bUl1bLDkwctxNlOZUp7It0AiAAj0NCVrWkSusRDfYi1ACzg3JpT8ikU19FasYDjnPhFHFubX6mzbxVNEUfHjmB6/DFMT81geuoEpvc+iek9T+DwxKOITWG3d3FkMdwmIiIiIiLqM7/6a1tYAC3ntS9qX9U/0OAbhZ7q8XHBeB+u7VatKuYXgHodqFT8Ip99FbrbFrB4Deb+dcjSPEz1BlC7DVO/E+oqNkC1XSOybyzB/idasI83YJuhw9kIojiGicUHzhJDiuN+qjgLsV0KcUmYVl5HgA10T2FLBBUJATZCHUcWGGeXDQE2AJjQgy3ZQoqam3LOikWyfVj57aYp4BAhtaUQYMdo2SJqdgwtW4KDCRUlXmQsIrEoRU1YjZC4AlIXYeGmwYn3GcSFYkjFUz+Zbhd90K0pxGYT2Gs/Lg04XF0eYIcp7BtoYWsvv/an8XjMh9eTx3F0ahbH9nwHph85gempGewfOzKSFSKDgOE2ERERERFRH6lWFb/9v7Z6sq033vDb66sAbIv6PuAbAc8+I3jlZexqT/WoUFVfl/Ka4s0vL6tLMcDp04oXntvhupTmEmTRV4mYxRuQ6k1I/Rakcf/BwfFqsgUKXeKD6HaNSMsHyTBQYwAYRCZGVCkA8LUZSJqQJHRoZ33RUIiuJ8CWzhQ2jB/Bbvdg21DLEWpExAAm3LdGoCiGjmoHXzuS5sJrAHCQB90NkvVgR0BUgJoCmraEy3MlKAwUEibUARFFJBaRsVAnsIhgnQ9YG7YEB0EsDgXTQsXUUSo2EIkF7qQwUdqZDl/DYlf/dRNzJsEcElxBEzeRrHm9Qba3tA/TE49j+pFQHTJ1AtOTM5ieOo6p0r6+PLOEHozhNhERERERUR+ZXwhnhfeAdcDCTfTlFOpG9GXAN+LYU739HrbQpXXA+QvA+QuK2Rng7Bn09gWE2q1QJXINsjQPqd2C1G5CWhtcDMDZMIWdQGwKtBdzbHa6nRECZAmhb1wCVKFpK1wv6QThcOsLsEMwnU1htwNsZAG2QtJmmLY2nQlsRZjaDttSB1gbJrhD6vywEF8EKn4hR0Sxfz+KgagYFq4E2jukgKurn9p2MVIX+YAbBon1iz1GkqIUNTEeV1EwCWJJEYe3kTjIsjRdUoQKFMVtpO0A+4okuCo+vJ5DE/eHcP7awODg2BFMT836qevJ4/79yRlMT82gUtjFX4hpC0jrUKn654LLPe9o0xhuExERERER9ZHNLiK5llqtt9vbabse8NGa2FO9fd56WzdU/XL5Pd+Ffu4lP1m/bs4CSzd8iL10HWbpJlBbgNRuh0UQ1yl0TiOE0BIWIoRtdj6nzi+2KCYs7GiAuAjNXVdsrbPooYYp7LW0F2UUv10TtYNCVQcJfdriUqi2Opfv7LTvxoaG20ra/dcP/l7z+5AtCBmHRSojwBRD77d0XzYq+O/bxGFiXMLnIlhRVJMWylEDk4UaYmMRS4JilCCChTF2RQ93xkJxK0pwPW7hapTgepTgXqGFq6aJq2iiPoQLOBZMAUey6evJmXZwPT01g8MTj6GYdZzvFHVAUockdf82rXd/nNSApO6fjwJoxS8wGUWTSGdOM+DeIobbREREREREfaRS6e32xsZ6u72dtGMBH3XZTPVLv/ZUD6KLlzb2vM/UG74L/ZWXV3mBJ2mEEPuq78NeWvBT2I27oV5jHdo92AlgQ591NoVtW3662SbtRRMRRRCJfPAclaBwPui2TUirGuo83EMCbMAH2AYaqkTaU9nZooyhikRtq30lg7BgorpOvuwcRG1n8nq9ZxNIWJgyBOiahfMmTJm3Lxf5adyoECa/jZ/ajop+CUl1ENvywWezFu4/P5U+YS2emFr7fkjgMB8nuBYlPsCOW7gRNzEfNzEft2Af2IMymCrxOKanZnB0cgbHwtvpKf/+gbFpRPn7fjvZlu9wT+pAWssF1nUgqUGShq/T2QRZugE07gOVPb3d5xHDcJuIiIiIiKiPHDroKx16UU0SRX6CdhBtS8C3TqPY683ql/6g6s9U2OjzPiPJEv7Vf3cV5/7v12FqC5ClMIXduv/QgeSwA76yI9+DnU1hZxUhYaFHQKDGQMRPKauJoFEUakgSSNrwIbimkIcF6FkPdtaxLb5n2++T/2EocFBnAaShFqQTcGv45iSrCxGFqKwMsLMPV3w+VJhk4blEvl9bCoAxEJHwtQiIi0BUAowPvTUqQKTgF5/UFJI0oGnDB/22BWNbIci37TqT5UeQCODKFu+lCa5FKa5FLdwoZAF2A7eiBDqEh91UaZ+fuM4F2MemZjE9NYM95QPb+7NG1YfSIajOpqslbQBJ1YfWST0817eJxL6Ch7aE4TYREREREVEfGR8X/PAPFfFbX9r6opIfOj2YoexWA756A/j0ZxSf/+z6g9hRDndZ/dI//uAdrGORTsW+4i0cqVzD4cp1HCovYH/pJvaWbqMS+V6jxd8D9u19wGO0vAfb5WpE0lAjEgJZhUAkAqIIKhE0KvjpZGdD5UgNcCnMw0LAfA92CJPbn8smsBFCbJt2Qm31tSEK56+uAsAhLLnYHVS335fuBDnLwrMKk3aIHabBTRSmsqPQk13yU9hxAa5dM+IrTMQlfhI+bULcEiRt+RoWZ7u+j5WPmuKeOFyRFHNIMCdNXFFfHXIFTdzZv40h6i46MHa0HWD77uvjODY1i6NTM5goTm3Pjbp0jZqQWtfnd02hDJQfgT3yOFDo8elaI4jhNhERERERUZ/5Sz9R7km4/fxHBjOAfOfd9QR8D/aNy347p04+/LKjHO6y+qW/vPZ651UVgxSHKjd8iF2+gQPlBewv3cLe4h0UzIP7sL/9bWDfnnwPdraYYwuwjRBg56aw1YWQN6sAKUDjKFSRhMUcmw0YzQLcNXT1YC8PsBXZ+LhvBnF+f1wWCCtU/QKLIgqo+EUmQ4At2SS3AMAqlRTtRR799RQGkg/Ss87rdkBf9FOzcRnOxH4iG8bXpNimDz+TBkx6F7AtP4mtrh26r8YJcFMcriDBnLRwRf3CjXNoYE6bqEruvhuSJhEjEY5MPIajUzM41u6+9iH20cnjKMU9Dm/TZqgDWV4PUgfSUB9it/77c1PEAIUKtFDxb+MKUBjrfFyoQIpjMHv3AQD07t2HL05KD8Vwm4iIiIiIqM984NkYT7wvwte+vvlukhOzwMmne7dPO+nV13vzn/3Xvqg4dfLBAewoh7u7Wf1COUkdbmEB9etXMHX56/jYEzexr3QLewp3fcj7QIpYUhRMgtikKIh/W1xqAgtNv0hiNoWdTVa3F1+MoRIDhYLvo846oF3qu6nXuul8D3Y2Od0OsTtXEtWwWGTL15yo+qls+DMlBOq3Y7IObYGYByys1w4BszFshPDb5BaqLPgpaxNDTQEaF324GJehUdGH24APsNMakDQhzfswaTNMX4egf60AXwSpMbiOFN+WFubQwlVt4goamEMTV7WJVnYfLL//BvhQKUZlTE8e74TWU6E+ZHIGhyaOITaFrd9Ie1HG2srFGLPQOqntXhgcFbtC6nZoHZfbH6+rYmTIzvzpBwy3iYiIiIiI+oyI4DOfnsBHP3YP9U2cOV0pA5/8hAxkfUa1qnjzzd5s6403/PbWqmYZ5XB3N6pfRl79HsziVWDpOszSPKR6E1K7BWktwRWKaC05PLt/tYlsRSTWB9iS+hDbJCiaFopRAwUkKESpD7klRWRSODVw9QhxIeqaVBZnAU0gaRPQ+kMWc8z1YAtyAXa2V4DJAmybdBaIhAvBrkIUy8LvaO3ni0+9/TuqIQzOVY+YCGpC73VUAEzBf1+FMrQwBsQVaFzqhOw2DdO8dUj9tl/MMasPcRarpvdhX+sSYU6SMHXdwpzW/fvaxA1twcrqVx/kAHu8OIVjkzM42q4Q6QTY+8YOw8gDXnh4mLTlp6vbHdfLAuy05i+zG0T8c6dQDsH1WG7qOvu43H5hhPoPHxkiIiIiIqI+9F3fGePcLxqcOes2FEBWysC5l2RgQ9f5he6+662wDli4CYyPr/zaqIe7O139MjKcA2q3YBavQhavQ6oL/k/tjg/2VhOePmliUTKNdnidTWSXTAMF00LBpO3p7MhYGHFwGiF1EawzcBqhriWIFhHDLwopSOBD5rUmkXM92EAuiPY75TNm59+xfvpbQjWHqPq6kPDWd1JnE9SrHBMh8PaT0Z2Kkk4/tgm912Gy3MR+ErtQhosrQDtsLIdeEwlhaQ2wTUhjMQTYSVi80WHVBDps+544H1zDT15fVT99fUWbuCXp0IXXALC3chDTk7OYngq917mFHKdKezf+s0xdbqp6WWid5rqtXQ9WSN6MqNA1Wa35ypDCGBCX/Z8B/BlOHQy3iYiIiIiI+tQHnhW88rI8sA8678Ssn9ge1GAbwKYm1R+kVlv986Me7u5k9ctQsgmweA1m8Tpk6QZMdQGo3oJp3PEh8FryU87txRwTKFJUag2cmGiiEKWIJEEsFrFJAQhSZ5BqBNUILVcEHGDEtSe5i5GfmM5nygYIDR4heM56sBWhCsSEKmztTFs7C3FNHw47Gyavc/tvQoBtCisDwSy8hrZ7tLsqRIAQfPsFHVXCFHZcbE9euzA9i2wC27lOYJrWgOZdmDSrD1mj/zssFulMhFtIOwG21jGHRqgRaWIRawX+az98/c6IwcHx6RBgz3QWcgyT2JXCKq/0rcUmuaC6Bkkaq3Zc75ploXX7hY+48zGiHtSlUN9juE1EREREtMuqVcX8gg/1KhXg0EGsWaNAo+epJwVf+JwPUV993Vd25Cebowj40Gm/eOTJpwdzijiv0uO1x8bGVv/8KIe7O1n9MvBaVcjiNchiViWy4KtEGvfW7v5V7V7IMXvftnwYaLt7sCV0YRcgGC8IHCI4jdByMVquiEgcIuMrR4wkMHArcmWngMIgcaEHG4DEAs13WKuDqoOoQpJQz6FZgJ0LofP91V3Xz/5aNn2dX8hRpBOmG9OpEYlLYWo2qw8p+wDbGN/z3aoCtgnTWgJChUi2fyvu5xBea1RAqoJ5tPyCjWjgioYJbG1iTltorNZZPuBP1ViKODzxGB7dM9sVXE9PzeDwxGMoRg/pfVb1izKm3ZPWK0Jr++BFS7eNiUJwPda9OGP+47jcVZFDo43hNhERERHRLlBVH1a+pnjzy8vCSgOcPq144bndDSsZuvcPEcGpk8Cpk4JqVbFw008kj40BBw8M1+Ny6KA/BnpRTRJF/v5ZbtTD3Z2qfhko9Tsw96+t0oddXf3yqqG7OQTVIciGTXIBduKrQbIAOwS1PvDNKjgioBADIjDOoVxKkbRSGJPASPeDpACc+gluOAmLOQKq0v66gZ/gLpcUxlogtV1T1NIOsLP6kbhTQ9IVXisA56/bno4OAXi7yiQKC1MaqCkAcQEaj/kQshgC7KgAwEBs09dTWL+Ao9QWwn22Sn1IO1yPoCigqQ7X0Ayd1/Xwp4E528JVJL7/Om9wDsU1VeLxrslrXx/i60QOjE0jMtHqV3QWaC7lpt0bncA6Vxeya4syxkVoPNaZss5PXcfZoozF3dk3GlgMt4mIiIiIdtjFS/rAmgnrgPMXgPMXFLMzwNkzO7do3SCE7qNufFwGP0h8gPFxwenTivMXtr6tD51ePfgf9XB3p6pf+o5zQHUeZvEaZOkGJAux63f8AourXse2Q2sJVSJIQ4Cdhdk2hUt8UCtIYaAQAyiiUMHhp4yBIvJTz2JTXweSarviY6ykWEwMnAqsxiGO9kFkFmIDDkb8n0gUAovIOH+78AsxFgoC37rRqQHpyAfY6r8PfwOdRRyzqVgxQBQDEvvvwRSWTWCXwoQ3/H2YNv3b+h1I2gqhvu/obsuH15EPMqtq29PXWXh9JW3iqrQwjxSaP4yH5FfPI+V9OBomr7Peax9gz2BP+cDK37Fp0wfVSzdyPdfLgmu7i4syZkH1qnUhod96rVCeaAsYbhMRERHRrhulCeG33lacObv+Rewuvwd8/EXFuZeAZ5/Z3vukn0N3Gi0vPCc4f2Hrk4XPf2T15+fIhrvBTlW/7Jq0tawPez70Yd9dfWG71XqwbcuHiba1LNy2EE0B55CmQLMFNFsRHASqERx8JUSpJBirWBSMhtoR171AYW76WQUh3FZEBfVl2anCiIURH1iLKCI4iDiYUCGiUKgKHAzUCRJEAATGAOVCri5EFdCke1o3qw+BhAUWI6gU/CKOUeynrgtj0OK4D7XF+IUknQVsy08EN27DrFYf0lVLEoddUNxFGjqv677/Om3gClqYkwR3ZdnjEnZt0B0YO9rpvZ6axfRkWMhxagYTxSl/IXW5Lus6ZOkOcGcOkta7Pr9qv/hOiAohtK6sElqHaeuoyEUZadcw3CYiIiKiXTGKE8IXL20s2M7UG8CZs4pXXt6+MLmfQ3caPSefBmZntrbg44lZv53VDH24+xA7Uf2yI1pVyL05H2Av3ej0YTfvdwfJQKgR8VPW7R7stAXYZq5CJOnuwW4H4SFMDoswpi7C/fsFJKEPw4iDge/FFnE+k02B6n3ARAZj44I4joBssrq9Tw7qwoPgs22IWjxScWg1NJvXbheKqBofoLfHmDXUXPsO7gi+u7tUBmDRCa/bFSSRrw8xERAVfWhdCDUi2cJ7TgFxIcBuQWq3cgF2qA9pL1BpfK2KMYAU4FSxoK0weV3DXNrwCzkiwZy0UMv3Xw9JeG0kwpGJx9rB9XSYvD42OYMjk4+jJFFXHYi0akCzAbn6h7l+6zXOGtgJyzutV5m6hmF0SP2Nz1AiIiIi2nGjOCGs6r/njQbbmXoD+PRnFJ//bO/D/n4O3Wk0iQjOnvEvoGzmmKmUgU9+QtY8VoYm3N2knah+6anabZj7VyGL1yHVeUjtJqR22weFedlCjssnsG0WYmefTwBN/dfVdnVNK0y7NiObWPZT1g5wijRxqC5ZREgRReEm4Ss8/GakvS1A4KxDbdFhbAyI49x+hknndlt2VgOiCmMMCmVBoxGaQsTPaRtxKwLhLC53auDUoDJuIMWC7/WOi6ELu+z7jKM4d/suLHTZgtRvh/sk1Ifkw3AJi0KGOonEOVxHA3O6hDlb9z3YaGEOLVyVFK0swB6S8BoASlEFRycfbwfYR0N4PT12BIeLexFb27UwI9IaZP7rwNwfr36mwE4wcafXOu6uB2mH1nGZ09Y0FBhuExEREdGOGtUJ4Xfe3doUKgB847LfzqmTPdihoJ9D914apeqbYfHUk4JzL2HDL7xUysC5l+SBL7gMXLi7Dba7+mXDXAosLcAsXoUs3oCpLgC1mzD1O37CevllXdqZtLZJqBBp5j4fOrCzCexs6jikxdqeaI7CAo8h0FXX/iNqQ281AAFSa7C0pBBVQMI8tQgiTcPkdVhwEfA1IuJrRKC+ojsqZVmihmln6WxcJFcj4hCJfy63mn6YWiFwLoaFCYtKGlhXQMsVkbgYEhdw+FgJ0VgMB0DEQJ3134NNYBq3l01fGwCRn0YXgUadeKjhUlzVGuZsHVc0TF9LC1clwXWkcNlum9489P2gHE0hqs1g8doMdPFxFKpHUaodwUTzAE6/fwx/7gcSPDlTg2Rd17cX/J9NajUV95eApAUUisDUBFAsrfNYikur14PEYfq6UPY1IUQjguE2EREREe2YUZ4QfvX1rYdIAPDaFxWnTvbuPujX0L0XRrH6Ztg8+4zglZfxwDM98k7M+ont9fyc6Ltwd4dtd/XLmtIGcN/3YZuleUh13k9m1+90dwq3e7DDBLYLAXba9P3RNm0H21kHdrv3WTuT02oEgrB4oYlyE9KuM8GsCWA7izpC/Qy3tBdeBCBAoxpmtENALQCMWEjoxYZBaO3InlfS9abVAsrl8Ald5bknBjCdyg8Rg1IlRjMt4F41xmItQmILSDWC1Qgigr1TFof3WoyVEohbBGohlBcDgQnhtYGK8T/4AEAVi67pp6/TBq5o009gS4I5SXAz678eovAaAPZVDuHoxOOYHj+GY2NHMV05hOjOQVx4dQ+q12OMRQ1U4hoKJiywGS0CY4tofgP4jW8A+/cDP/pfCQ4f3uQxr4pvXQHeeUfxJ19bWYH+vicMnn5mDMefqECKY53e865+60rnOUxEAABRXe0n6nC4c+fObu/CjhMR7NmzBwBw9+5dDPHDSzTyeLwTjZZhOOZVFR/92PoCqrWcmAU+/9m1qwb6VbWq+JG/oL2pQDDAb/6G9GxS9OzPup5Mr/7gh4Ff/Ln++Q/3w6pv8nz1zfoC0Z0wDMd7r7VfqHhd8eaby16oiPz09PMf2dgLFaP8Mylz8ZJuqfrllZcfcNw0FmEWrwKL10Mf9s3Qh73YuYy6MGmdqwtpT2Dng+2sBzubqradALvd2xHqQ0zke6Czx8Q5CML13Go/hF0uZZRO7iyAtD9Q2FTRaGTt1+gE2m2d+0HX6ONQCEplgyg2frFFhOltEyMqlAETwyqg4XMwoQdbLeAcNE1h0xTqQsd2bCCRWRl2KgCX4pY2cMXVMKdNzEkTc0hwRVqYkxSLskuLE24jIwaHxo5iemwax8aO4mj5II4V92O6sAfH4imMtV/48N77puL11xVJuv7bKMTAc88JZo5v7Ji/drOIf/PFEt67OoaGraCe/Umz98eQOD9t3W+/k6i3+Dse2Lt3b0+3x8ltIiIiItoRwzwh/DDzC73p9gX8dhZuAuPjW99WteqDwl544w2/vX6oZxjV6ptBtN66GBHBqZPAqZOCalWxcBOo1fxCjgcPbK4WZLt7vQfBlqtfvgNA9abvw1667hd0zELsJGyw3YOdTVvnJrBdK1SHZAs9phB1oafY+j6OdoCtAMLktYn9JHL2p10j4vxtoIVO2NwdaLYD7M5H3Zd1oXYELlRn+9t2qSDuDD4DMKuG2A4CdQYOEaz6RSCdGqSIYF2Mohjsn4p8N3cUh8X6JEx9WyBtQaz6+wON9uQ14Ae64ygO60g6pC7BfFLFFdR9gB2mr69IgquSoiEKROt/XAdBwRRwtHIU05XDOFY+iOniPjxa2IPpwh4cKe5DYa3FD5e9sHHjxsaDbQBIUuD11xX/l78EP8EtEupA8tPV2dS1rwl56w/LOPNLhr+TiLYJw20iIiIi2hH9WsuxE+r13m6vVnv4ZdajX0P3rRjl6ptBsdW6mPFx2dDz7EEB+nb2eg+K9VS/GKQ4XL6OI5XreP/xG/iJ//ImDtVuwfzW7RDConsC26WdANs2ct3XIcRW56ewYUPo2F0l0g6to9hPYZuQKrusB9tCEKoj2otB5nUv6pgPrxUKWRFgL1+oMasTkXawnNpsCxL6rw0cDKwaQCW8H8Gpf6tq4AA4jZC6CApBJIpWzWKfdTBG/H0WKkQgPp5RiQGjftrcWbTSOq65hu++liau5qavr0oKO2ThNQCMRRVMVw7hWOkApov7cKy4379fOoADxT2ItlrLoYp/+/99eLCduAIatoJaOoaGLecmrcfw1f+5glf+6RjkIYsyXrykOPMp/k4i2k4Mt4mIiIho2w3rhPB6VSq93d7YWG+206+h+8OsFVaOyuKYg+xhdTHWAecvAOcvaDg1f3PBzkYC9O3s9R4UTz0p+MLngHffruPN37yKb//xNRwoLeBAeQH7S7ewp3QXRw4pHnvUYt9UCjRTSC0LsBuAbQGaQqwNdSI+tJVsAUNn0RVga1jQ0PgaEUgUJrF9DYiEGg7YJExh52R5dWftRnRNXiP0ZbcrKLoDbMlqTPLXMwZdgXZ7sUkBQoBds6Y9he1U4NS0W7mti+Dga0YMFEacbwZRv11j/HNSAViNkGqEggkBv0tQtU1cQwtzaOBb8PUhvv86xbxY6BAmN3viSUyX9mO6dADHSgdwrHwAx0oHMV06gD3xxLb+DP7WFcGV+TLqaaVTEZLVg+SC7FQLa27j2teAd/5YHvhiO38nEe2MIfwRSURERET9ZhgnhDfi0EEfqPWkczvyNQy90K+h+2rWE1a+/0+NbvXNINipupjNBuhf+Bx63uvdt+p3YRavAUs3On3Y1Vv43tYSvvcZh/R7ErQaCVySIkYTRWkiQtNXftyyYfo68QG0sz6MXrGYI/z72SKOJoKi04UtmuvPdml36Jy93xVgA51U27d6QEO8rMsC7Pw2susZH1S3V4TMpn/DlLi2A+2s7iSb+BakqUEtMeGWu7u1nUa+ikT95x0AaAQjDkYcIqSITQvVqIUbcRPX4xZ+x7ZwVX19yJxY3I2Hr/8aAA4W9uBY+UAIsA+2Q+zp0gGMRz3+BZQxUaceJM4WYyxDC2Ptz//T/08Rv3Nl62tEPOxMslGuYyPaSQy3iYiIiGjbDeqEcK+MjwtOn9aeLNz4odOb6xdeTb+G7sutP6zsze0NYvVNv9upupitBui97vXeVapAdR5m8Tpk8QZk6QakdhOmdhtIGt092LbZmcJ2CYrOohgWcYRawDpIViHSXswRWH1BR+OnsJGFzOE6Nu1UiYSrtgNs5IPo7PPa/jZWBNhQ/wJDth9d09YmZNKm87ls4UaR7hDbF12v+rFCIOK/F4FBy3UCbJ+VOxg4RJKibBIYSXAnauF6oYkbcYLrUQtX4wTXTIqrkUXNDN+icZEYHMlVhuQnsI+U9qNk1p583pS4CI3Hct3Wla7QGoUKEBUfuIlqVfHGm715LB52Jtko17ER7SSG20RERES07QZpQni7vPCc4PyFrf9H9/mP9O4/uP0auudtNKzshUGsvulnO3Vqfi8D9I32eu8qmwCL12EWr0GWbsAsLQBZiG1b/usuBNhJ6MC2LV+JoWm7A7s9gd21mCPQtSBjFgIbHwSrSAiw4a+TLeyYjVz7ZLrzfkby2w2Xdg6A6ywiGUJmad92+EvEr6woy4JroD1x7a+Rn8DOtpEvqM6+l1wlSrZtaNgFX60SoYmpgoWVFDfjFq7HTdyIEh9eRwmuRhbXohTJEP7IKJlCe/K6HWCXDmC6fACHinsRSw9Kv0X8IoxZYB1Xch+Hqeu47Keyt2inziQb9To2op3EcJuIiIiItt2gTAhvp5NPA7MzWztF+cSs304v9WPontlsWLlVg1h908924tT8kei2bdUgi9cgi9d8lcjSTUj9FqR2OwTYCSRtdvVg+85rG6a0s/ed/zyyWpBcD3ZGgM60c5R9Ilwnu6wNvda5L+cXd8y2pwAkt21VH2Cra9+W5C/fnsJeHmCb3NcRJqulPSXe2Vh2fW1/D2oiSPg+1GQT2vDT6NZCbCtMqTs0NMVVbYZFG7PqkBRXDlvcMBauT58eWzERVXxtSLkzgZ0F2vsLU1s7JqJibsq6AsSV7o8LY0Bc6t038xA7dSbZqNexEe0khttEREREtO0GYUJ4u4kIzp7xFQibCeAqZb+IXa+Dt34N3bcaVm7VoFXf9LOdODV/qLpt63dh7l3xfdjV+dCHfRNSv+sDWNuE5CewbagOyaauQ4gt7QqRNQLsLJVuV3l0Kje6Fm1sXz93tWyyuutz2ZXDJ7IaEWju0/kJ8OUVIvme63Dx7GOTfd50tg9AJeqE2GFhSgh8t7cRiNNwX6SAawHqYNThvmvhirRCcO3D6zljMScpbprh7L/eV5gKU9cHuypEpksHMBVvMjUtjEEL5e56kDhfF1IGTH/FTjt1Jtmo17ER7aT++ilDREREREOrnyeEd8pTTwrOvYQNTyNXysC5l2RdncMb1a+hey/Cyq0YxOqbfrRTp+YPXLets0B1wVeJLF6HVBcgSwsw1RtAqwakLUjaAEIXttgEUAu1Fja1UOtgxMLAQpDvwc4H2C43VZ2bes66qIHu0Dl0WUNl5bYkf+E87QTg+fqPTD447wqw2xfwC0Pmg+32opIIk9kSLhmmrtsT3SYMhTvfBW5TiDbbFSs30fKhtbRwRXxwfSVKMWdSLEpvni/9xEBwuLgP06Ey5Fi7QuQgjpb2oxJtYDraxF2T1brK1DXi8rLHcjDs1JlkrGMj2jkMt4mIiIhoR/TrhPBOe/YZwSsv44ELJOadmPXh8XYE25l+DN17FVZuxqBW3/SjnTg1v6+7bW0LuH8NZum6X9hxaQFYug5TvQkkdUjS8BPYactXY2ST1u2pa1+bYVOLpOngnIPAwQBwUIgojAGiSGGMdIJsEUAK6A6LFe0qEqAzVa25KWyBD7fz/dbZddWuHmBDfAd3V/91PjzPLeSY9Vy3F5JErnpEw82HENz4Tm84H7qrs2FK3QfYqVrcQNI1fX3FWMyZFFfFojGEAXZBIhztWrzxYDvEPlzch8J6pqTjci60LufqQsZyizL2eCHIPrJTZ5Kxjo1o5zDcJiIiIqId0a8TwrvhqScFX/icn05+9XUfzOX/AxxF/j/Nz39EcPLpnekA7qfQvZdh5WYMavVNP9qJU/P7otu2uRT6sK/CLC34aezFa5Dqrc4EdtIMAXbaXnjRV4i47ioR2Hag65wiTQCoIgIQhaelU4HCwLoIagUuERgjqJQVUZSbpu6awG6nyeFNvsPadF8u352dMWHiO5v87hrA9sF1u/86P63d3lY2gR0WkTTS2YdchYm4pH3/NDXFVUk7vdeSYi7yAfY1sbBDeJiOmZIPr8vLFnAsHcCB4h5EXR3jOWK660G6FmfMTVyvdf0RshNnkrGOjWjnMNwmIiIioh3TjxPCu0VEcOokcOqkoFpVLNz0wd3YmJ/Q2o3/yPZL6N7LsHIzBrn6pt/sxKn5O9ZtqwrU7sAsXvXT1/evQe5fhSzdgNTvhMUcG5B0eYCdLdzo+7BFOws7tqtD/A10bgc+wG61DBwETg2gfmbbR8MORhQGChGHWBxEFK7pB7aNAboXV5TOtHRWP7LaIpLtypJceC0h+EZWBZKvGgkVIe3wXP0ik+G2VF1neltdCLbhF7UMi1MuwXYt3DhnLK6YFHNiMW/s1h7MPrUnnuhauPHR8kGceORRPFo+iFKaX8AziIvQ2IfWrlBuV4V0wusxIC7uyvcyiHbqTDLWsRHtDIbbRERERLSj+mlCuF+Mj8vGJ0W3ST+E7r0OKzdiGKpvVlOtKuYX/H1bqfhT5nfisdyJU/N7HqCXLXBvHmbpGuT+Nci9Ocj9OZil65BWFUgafgI7N2Hcru3I6kRc6kNsl6sBWRZeA8iFz7lJZzGwKVCvO0AUAkUk1leQhI/91nzVh6rAqglhskBUUCm5EHCjc9v5xRzb09vLKkREAES5hRzNsgAbfsI826xNACgU0l3L7TpBt8LhThZgm9RPYMd++nrOWNyV4VzAcdLuwaPlAzjxyMoFHMej8KQVAeIKUBzD+N6DQGEMi00LjctdU9cw0e5+M0Nmp84kYx0b0c5guE1EREREO65fJoTpwXYrdO91WLnu2x2i6hsAUFV/jL2mePPLy44xA5w+rXjhue09xnbi1PzNBuhFaeDI2DUcrlzDo2NX8Gjl23h04gq+4/duI7J1H2Db1gYC7FXC60y7V9oAJkw8+wv7P07DJHcKqMIlQCnKAmxA1cCpwGoUhqilHSmLOL95ABC/vaQFlMpdO5B71wfpGoJ0mLizX0CnIkU1vJ8gXyvS7t3OTZw7KOaRYg6pD7FDdcic+Le1Iey/jsTgSHE/jpUO4Eh8APvh/zxWOYD37dmPiYnxZYswZh3XY0jD5xGXAPE/c8yePQAAvXsXutpziDbsQS/q7cSZZKxjI9oZDLeJiIiIaFf0w4Qw9adeTvuu17BV31y8pA88O8I64PwF4PwFxewMcPYMtu173+5T8x8WoI/H93C0ch2Pjn8bx8cu49HxKzhSuYZHivdQMk0UoxYisTCiKJcV8ZIC1oe64mynF7urzmONnRQJU7a5MFsQgnHNBeXJyuuFhRStGjRTyUo+IEB7YrudkaMzDZ5dUnMBtnUGVgUmjnyQbqL29gEX6lFS/725FN0VJbmFJHMStbgmCa4gxZxJcSUE11eMxTVJkQzHodOlZAph6rq7//rYxKM4OHEMUWGiUw/SDrD9x+l6FnekntvIi3o7cSYZ69iIth9/2hIRERE9xG6dzj9K+qmWg3ZfL6d912PYqm/eels3FKRcfs9PFp57yYc9vbYTp+a/8BHgD39vAccqV3Bi4uuYmbiM6fGr2F+6iYl4CcWohVhSmDBBLHCIJUVkUsRiYcQiEotS7CC1B4TX4dqdDutcENwOsUOXtst6qHMTz+0akjgUY5vO9kJ4nrQUYjR8xYVNq5/KzjangMLAqUGqMVIXwamB0wgKIBIH10oxEVtfn5I2seKbaveISLuSpK4Wc2J9/3XWfW0srkiKebFww3GIdJmMxsICjgcwXT6EY2PHMD3xKKYnj2Pf+DFIcSws0lj2b+Ny+zEfzkbwwbXZF/W2+0wy1rERbS/RIT7f5c6dO7u9CztORLAnnM50l6czEQ01Hu9E2+vhkz/Y9tP583jM06j5g3cUL/7k1p/n/83fAf7ojzFQ1TdbOd4vXtItnQL/yss+UOn1i3q92i/YBLh/DebW12BufQ1y95swSzcgtTu49u06NE3aAbaBD6yzADsKIbaRbFnGZQQoFPIfL+ujRiixVsBPTmcheGdbqtK5rDH+eSWdDms/Ze1y/dXZ+53J6WYz22bWpx0h1Qipi2HVh9jZIpKxSRHBwhgLv/RkhwIoV0zXFLaq4j5cmLjOakOyEDvFrSHtv95fmArB9VFMjx3D9OTjmJ48jqOPvA9T40fa09aIdmdRRv6O37qNvqgHdKaj8y/qbeeZZO1/W7KObaTxeAf27t3b0+0x3B4yPEiIRgePd6Lt87DJnzw/+bP90zU85mnUqCo++rH1HYdrOTELfP6zvq90kKpvNnu89+I+O3oEePJJ4Mvb8KLeRsKnsqnixOTX8N37/zP+8p/7JqbHrkGqC5DmPR9wtzuwna/VcBYutWjWLCQE2NJV1LG27N6NCwJjQjit0vlKFj7n5WpEUmfQTAyaia8jEbhQI+JQjBWF2CGKugPsru2JX7RRTQTrYty+FwGqPsA2fsLcGIcIDiYXPiukna9riOsFgIPitnG4GqWYL1nMRT7EzgLspSHsvzYQHC4fwPTYNKbHHw3h9Sym9zyBI3u/A5XK/vB49Sf+jt+anr14toMG6XcS9RaPd4bbG8JwezQPEqJRweOdaHv0avKn13jM0ygaxMCiFzZ7vPdq2v1htvKi3vIXDw+WruL9e/8IJya+gcfGv42D5XnsLd7BeKGKcsFizx5FbLIFHG1YwNEveOhrPNC1gKNTn313y98nPvLWdvOID7OLBcAY7dpWO8DOhc++QztUUliHRtXvm+/DDhPhoqHsIzfRDYNCKYJkHdgI21YLaAoJi1I665AmLjSP5Cau2/vsA1oLxQ1jcTVKcTWyuBr5EPtqZHEtStEcwgC7IDGOjk1jeuIxH14/8j5M73kC03uexOGJR1HYpanrXuDv+M3r9QuhRNuNx3vvw212bhMREREFFy9tPNgGgHrDLxT0ysvbtyAb0SjiQlwb8+rrO/Mf5A13dDerkIWvIlq4iPff+SZ+7fk5VBduo3H7LlyrCYHCwE9bR8aiFKcoFhwi44BWNjX9oB7szoS1ASCxwFrAaRZkdyZ2s0UZs+oSCBAVDExkoPmFFyXyX9ZcsG6TEH47OKtwiaIYmksUgKqB1QjWRbAqUCcQ428rEgvXsCgV/RR2+3tp916HD0Xgwv62oCG0du0Qe874tzeiFHYIn96SjEGWHoNbnIXUZvH8D78Pf/Z7ZjA9OYsD40dh+nj6mnbHO+9urc8fAL5x2W/n1Mke7BAR7TiG20RERETwkz8vndvchCjgA+5Pf0bx+c+yJ5Gol7gQ1/pUq77DdaeseFEvbQL352BufBXmzjcQ3f02pLoA1G5BWks+ILYOAgs4hym1mKo4aNkvvKgapp3zE8ftBg7NvVmecEtYmBHtiWoBEEcK5wC1itQBzhk4ZOFzjKgYoVwWFEqCcEGITf3iiy7r015eR+IXfnQqqDVjWBWIAhCFEbT7vQtIuqa282wCSEEgxu/rElyoDXG4YlJcMRbfKvsA+5axvh1l2DT2wd2fhS7OQJeOwy3OQO/PQBdngeY+5MP+1/4Q+OGXBYeODt8dke+1HxsDvuMJh4kJhvcb1asX9V77ouLUyeF7nm0UF1GnQcRwm4iIiAic/CHqZ089KfjC58CFuB5gfqH7PtkOERIcLC/gsfFv4onJP8HjE9+E+9dzKD9xE9JaBNIWJF8Z0u7FtrlgunsK2z9Sfpq6/eV813U22SzZH4N8+Nk1Ah0Wb8wqRMREEDEoKOCsQtXCuBRGEog2/f7VVw+w27Uh2e07F7q4HdKWQ8lYrAzauykECsVtUcwZm5vCtrhe8P3Xd4dwAUeB4OD4NKanZnB08ji+/P+bwa1v+SBbF2eAZHLd2xq2F47XXqxaEUV38MM/VMSP/Yji5NM6FN/vduvli3pvvOG3N4pB7sMXUdcdXUSdaKMYbhMRERGBkz9E/U5EcOokcOrkYC0OuVPq9d5sx8BiX+kmDpevY2biPbxv8k/w2Pi3cLg8j6niPZSiJgomadeIGFHobfULHWouvAa6+6u7akVW+XoWKLdD5TUezyzANhFUDBDF6PRgK2B9L7e4BLA+wBYoTDs0l2WZdHa7YX8k17u9vAdVFer8RfLXTwHMGxcCbIe5yOKq8R3Y16IUdTN8faqxKeDIxOOYnjqOo5MzODY1i+nJ45iemsWRicdQjMsAfA/8a1/e2vc/LC8cP2yxamuB3/pSC7/1pazXfneqzgZpcreXL+pZByzcBMbHe7O9QfHQ56UDzl8Azl/QXX1eEj0Iw20iIiIaeZz8IRos4+MycgHEw1Qq67+swGFP8Q4OlW/g2NgVfMfURTw+8U0cKV/HnuJdlKMGilETMVIYUYho6KpWCHygndVuCBRI1P/P8kHhNZALrMN0tMkH2tnodriMmBBg53uws3JrvwCjaAo0W/566lbe1oqQWnPT4GtQxWoD2YkAV43Dt8Th25H1AXZYxPFGlCIZwh/55bjSDq6PTh4Pb2dwbGoGB8ePITLRQ7fBF469jS5WveFe+y0a1MndXr2ol6nVeru9ftfvz0ui9WK4TURERCOPkz9ENOgOHfQhVPazTOAwVbiLo5VrODb+LTw+9i0cn3wPRyvXsbdwG5VCHSXTREFaIcDOFlsMk87wNRxhSUb4kg20P9cRwmAX3u8KsE0nlM4vBJiF1CLt4FpNFCpFTK7OJIW4FEhanfB6eQ92FlZnn9ewDw4rFmv0t53v7+5WE8XVyOFKmMK+YizmxOKKSTEvFm4Isxxt7oUu+roQXZzBU8dm8PG/MotjU7PYWzm4pSCTLxx7/b5Y9SBP7m7kRb31GBvr7fb6Wb8/L4k2guE2ERERjTxO/hDRQFIHNO5B7nwTU3e/jZ/74Tk0rs9heuwq9pVuYSyuomiaKJoEUagQQQiwDfwUtiwPsFcLr4OsHxsi7WpsVQMHgYiBiUIfdr4nGwjBdhZgG78ApGq7l1uchaTNTqidX8wx39Wt6Hw+C8uzge8VE+DZm84rlwrgvijmjPPBdRTeGosrkuK2Gb7+awDQ2hHo4nG4xePQxdl2kK2Lx4HWnq7L/uc/BE78bcH42NZDK75w3P+LVQ/65O7yF/W2Iop8xdUo6PfnJdFGMdwmIiKikcfJHyLqW84Ci/Mw974FuT8Hs3gNZmkBuH8NUrsJaS0BaQK4Fv7cZIJG5NoVIj527g6ws691Wy3ADl9RHxo7FViNkMXivunDQNUH3eNl+JQp68IW0wmmwwKT4hIfYDvb3c/dScq7K0TyU+DZm6ybu32x3OUBOChuweFK5EJ47aew/Z8Uiyu+98GnzkCrj+ZC65kwjT0LXXwcsOv/pdTLEJkvHPf3YtXDMLk7Pi44fVpx/sLWt/Wh0/3bLd5r/fy8JNoMhttEREQ08jj5Q0S7qlXzQfW9Oci9b8NUbyBt3YMuLqB0/xrQqvvJZtcC0sR3TberOxwAByhQgEIiHxBvJMCG+tjbqcDBwKnxIbbLCkqkc1EATiNYNVA1oSVbMRYBasIUtra6A2x1ndt3y2pFuqb+ZGWgnd9359+mUFw36ieuoyy89lPYV02K5hDmU7GUUGg+jur8DNz9TngtteP4nvc9inf+Q7Fnt9WrEJkvHPdv5/gwTe6+8Jzg/IWt38/Pf2QIf3CsoV+fl0SbxXCbiIiIRh4nf4hoW9kW0FyEVG/BLF4D7l+FWbwOqS3A1O8AjUUgqUKSRjvAVk0Bm8KE6o6ugLg94bwsoFBFHAHWZs0gna8rBFAfYCsMbAiy1fkgGzBha2ECWk07wPb8hLYRh0gsSqaJyFgffYsiTnJ1IqsuJBkWixQAMN1fx8rvpwlfHzIX2c70dagRuS4Wdgh/zI4VJjA9NYvpyRlMT810vT0wfhRGDKpVxcJNH0CPjfkXU+cXgL/y13o3kd6rEHnUXzju587xYZrcPfk0MDuzte/nxKzfzijo5+cl0WYx3CYiIiICJ3+IaAtcCrSqkBBgS3UesngNsnjDT2Q37kGSOhD+iG35wNu1IDb119f8hPOyqo68ro9XC5EFJgLS1MCG4FrVT2NbZFUhAohCVeAggBo/ta0CI34xyshYlEwLxlhEIcDOguxs39qV2qKAGnQC7NzPweVVI7m3S+36kCzA7nRgLwxr/3X9AHTxOA6Nz+JHvj8LsGcxPXkcj5T3P3QKdnxcVlSGHIL2ZYg86i8c93Pn+DBN7ooIzp7xXeCbmUSvlIFPfkJ2fQJ9p/Tz85JosxhuExEREYGTP0S9Uq0q5hd8326l4qc3By2UWkGdrw5pVYHWEqR6E1JdgCzd8H/qdyCtKiSpAWkLSBqAbUJsw39sE4hLQ/f0WgsmZrcV3s+CFg0phADQ3GKN2RS0hEUaRQAxUPi+aykArZqf4s6qRDTUjwj84pJGLIqSwkQ+wI7EARIWl1TNZdS5qevwbm4lR4iRVQJsQOFwWxRzUT64drgSWcyJxT0zhP3XKkDtKNz92Vz3dacLG+kEAOCnf1l6Fgr2c4g8yi8c92vn+DBO7j71pODcS9hwh3ilDJx7SXa9O3wn9evzkmgrGG4TERERgZM/RFuhqnjnXeDV1xRvfrl7KiwywOnTiheeE5x8evf7WVelCiQhvE6qkGYVUrsF1G7BLM0D1QVIcwmSLEFaNcAlPrROm4BtQJImYFs+wHZJd4C9Sui7Yhq7awI7H2ADMBGATngNMZ0FG8UAkFAYgs5iiyKIIsXUlEPSskhbDnBNGLHtBSVFFWI0d9MKEb8lUUBl2T6hq+UEEP8gWyjmjcOcUR9ehw7srEqkPoQLOMIV4BYfW2UBxxno0mOAKz/w6tvxQmi/hsi9fuF4kF4869fO8WGd3H32GcErLwMvndN1Pd9OzPp/t41SsA307/OSaCsYbhMREREFnPwh2riLl/SBYYJ1wPkLwPkLitkZ4OwZ7M6xkjQgSdXXh7SqvgO7dgdSvwWp3gSa932A3ar6y9nE14WkTSCthwC7GaawLaCp3+7DJrA7n/Dhs2onhAbQFWa3w2kDmBgwke/KBsJ1uxs/BACcA2D9W3WQ/HS4UxSgKEQAoqzTeuV979ptKNrZhdzXW3C4nk1cG+eD6xBiX4ss0iH80VeOK5ienMX01AyOTh7HsalZHJ2cwbGpGdy5Oo0X/67pqxdC+/Xso168cHzmZxBePHMD9eJZv3aOD/Pk7lNPCr7wufB8ed1PqHc9XyJ/dsLzH+m/58tO6dfnJdFWMNwmIiIiyuHkD9H6vfW2bujFoMvv+ZDr3Ev+WOsp2wrBdQ3SWgod2EtA4w6kdtu/31r0vditqp/Uti3Apj60TppA2vBVIjaF2CTUiGQJQPeUs3+zvPM6hMerBti5kDr8UYkAYwDkqkVCcQhCt7U4B8C1w2uoQvILTLr8Qoyuc3urBtmr3+fGAEtOMRdZXDUO3zYOV8PijXORxbxx0CH8ETdZ2otjkzM4GhZtPDY1EwLsWeytHFwz+DryFHDupY0994HtfSG0n88+2soLx/+3vwV8+jPA5fdWn0rvmxfPVtGvdTHDPrkrIjh1Ejh1UlZdgLVfJ/13Sr8+L4m2QlRXjBQMjTt37uz2Luw4EcGePXsAAHfv3sUQP7xEI4/HO9H2atcs9MnkD4956jcXL+mWgrRXXt5gyOfS0Hu9FLqvw4R1cwlSv+O7sJOGn8huLYWAu9ZZvDFt+GnstAmkTYhrQVwSDm63bAIbWDvAzn05338N5Maq80F2BDWhQiSrGMm6qrUTWHf3cCtM+LzLgu1lizHmO6/X1rl/FYp7op3u62U92LeHdAHH/WNHwqKNM5234f3J0p4tbfthZy3k7dQLoRt9wQnohO49f8FpmY3eX899BPin/wx9+b2s1x+8o3jxJ7f++/rlHna0V6uKH/kL2rPJ3d/8dWHAOWD68Xn5MINUSfQw/Dc9sHfv3p5uj+H2kOFBQjQ6eLwT7Zx+mPzhMU/9RFXx0Y+tL6Ray4lZ4POfzU2K5hdtTHx1SHsBx+YS0Fz0izSmTR9otwPsqv9c2ugE2C6F2CaQZj3Yaei/XmsKW7sHnTXkyciybYELo8vGCEyUe1FL0OnBNjEA40ehszUYXZj+zt92tmF1gMvViOQCbBN2xj00wM52wl/2ZhZghwqROWNxJVSILA1h/7WRCIcnHl0WYM9ieuo4jk4eRzne3rHSfnshFOjP0D2z3vtrbEzx3/zdjQXbmU29eLZNtuVnZQ+c/VnXk8ndH/ww8Is/Z7a+IdpR/fq8XO7h63mgLyuJHob/pme4vSEMt0fzICEaFTzeiUYLj3nqJ5ub+lKUozrG4yrG4yrG4ho+8XerePJ4rT2J7RdqbPiwulULFSJLPsxO634CO2mE3uuks7CjS0PXtM0t4rjGFLbkKzvyU9CAqsBa/7bz3fkFG50KrEawauA0BkQwNi4oRGGquivADrfV3h90LtMVYq8ti4s6W/T7mEJD/3X35PWcsZgzFq3B+f/9uhWjMo5OPt4JriePhwB7BocnHkVsCru9iwD644XQTD+G7sutdX8NSvC2Xjt+lss6DOLkLvVWPz4v8zbyIp2vJOqPF7TWg/+m7324zc5tIiIiIiLakFdfX/0/YiXTwFgIr7MA27+/hLG4BiMOBdNCyTRRipq4+Xt1fKddgjQX/WR2WoekPsAW1/JT2JoCaZoLsHN902st5rgivAa6FmzMd2AHzinSVEJ4HcGp8X8gMOJgABhxiIwiRhMAYOuKqKAwJtuHXMXIuiauVyNoQnEt8gs3frsdYPsJ7BtiYQfj/+8bMlaYxLEQWC+vEdk/dgRG+n86dHxcMD6+23vhDULv8Fr31zvvbm1hTAD4xmW/nVMnt7adXujHxar7dQFS2jn9+LzM9NV6HjQQOLk9ZPgKENHo4PFONFp4zO+OYep47AnbQu1uFf/Xjy6hbKrt4Ho8rmEsriI2KQAglgTlqIFS1ETJNDBRWMQjxXuYiu+jHNdRzAJu08TRIxYGqV8YUdNQ45FNPOeDbGDtAHuNhRPXnNqU9gKOagycFdRqGhpGHAQKA0Dgb7uzFqRCoBBVQDR87De1MYJFcZgz2q4MuZJViBiLm0Paf72nfADHpmZxdPJ4Lsj2FSJTpX19MWVLu29YKzP6rS6m3yd3aWfwebnz+G961pJsCMPt0TxIiEYFj3ei0cJjfucMa8fjuqy1aGOrCmnVANvCzVuKz/1PuiLAnircw57iXUwWFtuf91PaDcTGwkgIjcUiFgsj/nPlssJg+aKK65HrvFasHmSL5JJnyV04N/GtDmminZvNAutlAfZD92RZhqYAbotiLkxgd3qwLebE4p4ZvmNYVYDqNNziDHRxBrp4HLo4C108jsf3zeD/8Q8m+z50oN3V08UODfCbv9Ffix0+qC4mjoEf/qEifuxHUjz9p3VHfr/08wKktHP6pcZo2CqJ1sJ/0zPc3hCG26N5kBCNCh7vRKOFx/zOGOaORwAPWLQxvE2XJRy2BaRNSNIAkiVI4z4W5+/i6//JB9hF00IxaqJoWojEwkAh4kKNh/OfEwsjCoFrv80IFFH8gAHr5bFye/HJ8JfkL5Oly7le7XzndnbMSO76CihcuypbsLHjKgUwLw5XjOJqweJqO8j2IXZ9CBdwjE0BRyYex5gex6U/mEFyJxdkLz0OuNKa12UoRg9z+T3FX/lrvTtu/t+fF8wc78/nW74uZnxM8MQTj2Biwuz47/h+m9yl3bWbNUaj0gXPf9Ozc5uIiIiIaFsMRcejqu+tzgXWXeF1Ult5HRsWcWxVgeaiX8Sxec8v4pj4RRwlbfrua2cxmSpmJjpBtQ+1HcQ4GPgpbAlT2hmRtYPjFdNVXcH0ssqR/H8AV9zlNlwGy0JtIL8s4/LJcHnAhKhC0ILimjh8O1IfWkcOc5HFVWNxLbJI++Sh76VyPNbpvW53X/uFHA+OH8PXvmbw8RcVjQ2eNl5v+H7XV14GwzFaVb3e2+3VVvmR1y/yneMigomJ3alQeepJwRc+h76Y3KXdt5trB6y1nsdGvfZF7etwm3qP4TYRERERjbyLlzZ+ajawS2Fd2oS0ljqBdRZih/qQVWs9bOIv11z0120uhfcXfbCd5hZvdGmu7zpMWjsF4HuwI+cwHmeT2J0Q+0H1He0iEF1+CUWkuUlrwN+WwO9Dvsxa2lfpfpsF15pPqdfzH2RpX7umoT4kCos3hh7suchhwVis2O0hMFXah+nJ4zg6NYNjXQH2DPZWDq4ZYKn6Kc/N9KEC/pj59GcUn/8sQzJaqVLp7fbGxnq7vWE1CAuQ0nCrVv0LK73wxht+e3zejg6G20Q0FLjgFxERbVbfhXW21e64bteHNJfaNSJwdvXrJQ2guQjTWvQhd3MJ0lqENKuArUNsClgbAuxkZYCt2vkccu+rA9pf95FwKdI1q7Gd5hd5DME3QvgtQH60WkRywXa479p59rI023WNZOPhAXbnsVAo7oniilHMRdb3X4f6kG8bi7tDuoDjgbGjmJ46jqOTM10LOR6dPI7J0p5NbfOdd7GlPlQA+MZlv51TJ7e2HRo+hw76ruyedG5HPpiljdnNyV0aXfMLvTnuAb+dhZvg83iEMNwmooH18AW/dHgX/CIiop7pdVj30Bdcs0Ubs4Uam0srFm1clbO+VqS5CNNc8h3YrRrQWvLht21BnPXbz/60w2mFaCeg7lpU0bnO5bLLrBUchwxaTNg8ACP5LwKRKDSk4BKu4Ce2w4y3mvbW4zh/3c4Cj903+CCd+9VBcdMo5oyG6Wvrw2yTYs5YLA1h/7WRCIcnHsX01CyOtWtEfH3IkcnHUY57P7bK08ZpO42PC06fVpy/sPVtfeg0h12IBsUoVRJR7+14uH337l1cunQJ3/zmN9vF6Y888gimp6fx9NNPY3Jycqd3iYgG0MMWPrEOOH8BOH9Bw4Jf7HYkIqLV9Sqs++z/pHj1NcWXv+xQMjWMRTWMF5YwWajie09W8eHvreHEo1XfX70aZ32wndRCZUjVV4gkdT+FndZDdYiF5Cew3SoBNhAqPZxv93A2BNc2F2IDXeGxOoQZ65AZhyRbNTeErYAKBApjll0fJmTnIczW/NKRYbOqob7E+R7u5fuwQvfv7lSA60bbU9ftChGxmDMpWkP4q74YlTv1IZMzoUbE14ccmjiG2BR2bF942jjthBeeE5y/sPWfy89/hM8tokHBSiLaim0Pt51zePvtt/GlL30Jv/d7v4dLly6teVkRwfd93/fhr/21v4Yf+IEf2O5dI6IBNRQLfj0AK1ZGGx9/op21ubBOUY7qGI+rGI9rGIurGI+rGLteReXmEn780Tpk2ZTw7a8Dr33d4fCBBP/VDzdx8BFfISLZtHZShSQNwDZDYG0hzi/g2JnCVgAOog7qFE4NNATRRvxCjv7yFr5GxHdkS1Y30g6RpetNJ1vOPuGAdrVIbqK667oGxoSWE+0sFSmhK9ufMGV9w0huMUmR3F6sqB/x30sDwJxxoTokm8C2mDMWN8TCDuGPxPHiVGcBx/D2qenvxmN73oc4rUDWbDPfWTxtnHbCyaeB2ZmtnVFzYtZvh4gGAyuJaCu2Pdz+83/+z+Ob3/zmui6rqvjd3/1d/O7v/i5+9Ed/FL/wC7+AiYmJbd5DIhokA7Xg1wawYmW08fEn2j1rhXVF0/SBdRZcx1VMhLdjcQ2RrNZ7rSiaFoqmhVLURDmqYyJebAfg5aiB2CS4+3stTB1LMFZ2ELV+GntZgO17sDsdIBqO/bQFtJoOLrWIjUUkKQQOKgon2TR1JrdIYzaRHfYz/2bl5HSuA1uAXAn2sm0oTKTtFpF2xL1yzUhkS026MNW9VFBcC4s2XolyU9iS4uaQ9l/vrRzE9OQspqeOdy3eOD01g6nS3q6f7yKCPXv2AED7bNd+wNPGaSeICM6e8cMpm1kLoVIGPvkJ4b+ZiAYIK4loK7Y93L59+/aKz83MzOB7vud7cODAAZRKJVy/fh3//t//e1y/fr19mX/7b/8tFhYW8C/+xb9AqVTa7t0kogHQdwt+9QgrVkYbH//hxAn8ARAWbbS3qnhicqkryB6Pa4hNssqVFAWToGSaPsSOmqiYOsYLSxiPayhHdRRMgtikKEoLBdOCEYfIWMRIUTApIpPAiKJ1y6E8pYgjHyArjC+vFgM4AZACNgu8LWAt1DlEClQEwLImCj+cLbDWT0cbk5/UXq1DO/98NOHDLADPV5WEsH3Z/ZDfihjAOQkLSfq3CsUtCRPYsa8OuRpZzEUprsUp7g9h/7VAcGjiGKYnZ8ICjt0BdqUw+CPKPG2cdspTTwrOvYQND7VUysC5l4T/ViIaQKwkos3asc7tY8eO4S/+xb+I559/HkeOHFnxdWstfu3Xfg2f+cxn0Gz6HsKvfOUr+JVf+RX8g3/wD3ZqN4moj/V6wa9+sJWKlQ88y1/ag27YK3b61XYFz5zA7zPO+gUauxZtDIsv5hZtPHBf8af3dULgWFKUomZ7+rpoWiibGsYLNVTiGgqStAPsgrR8YC0WRixiSVAwKWJJYYzrTDIDyBZVdDCwzk8wLy2leGSiBXGJ78p2Fn7MeeV/7DpV2pKr/WhvOdR9dK7nHGDaKz0ue7va8y90duc+scqdml3PAMbAApgXxZXIL9j4bbG4Erqvr0YWjSEMsNUWoEuPQRdnoYvHoYsz0MVZPPrIcXzu5cdRisu7vYvbiqeN00569hnBKy/jgUMAeSdm/cQ2g22iwcRKItos0W0+x+3Hf/zH8Vf/6l/Fc889hyiKHnr5Cxcu4G/9rb8F5/y/mAqFAn77t38bhw8f3vBt37lzZ8PXGXT9egojUS+c/VnXk9OUfvDDwC/+nHnYxbbdxUu6pdMt/8n/YPDBD+wFwON9EG318X/lZf7nbSMeHjxjS8Hzwybw8/wE/sYfP/6OX0YdkNQhrWoIrKvh/fA2XePgsglgm5C0Bdgm0noTv/7FJkrGd2gXJATXJkEsKWLjw+xILCJxiCVBZFIUJPEBtgpUtL3+oi8TEb9gIjSE4CkikyIWCyMOIp0n4MoakbChHOc6lR8rH/WVzyOFhM5swESdHuwVndtdk925z4tpB+AtiJ+4llAfEsLrOZPiqlikQ/hjSJOxEFrPhAA7F2TXpgHt/j/NdvxM7ufjfdj+PUb9r/07/HW/RkLX7/DIVxA8/5HBfvG4n495op00Cv9H4vEO7N27t6fb2/ZwO01TxPHGBsT//t//+/iN3/iN9sc/+7M/i7/8l//yhm+b4fZoHiQ0nKpVxY/8Be3NpJABfvM3ZFcrAlQVH/3Y+oKwtZyYBX79tX0QER7vA6ZXj//nP8s+yfXY7uB5oxP4QOe06Y1M4I/c73hVIG1AWkudwDpMYkuzCiRrlPXaBLAtSNr009ntILsFSepA2gz91gkk1H58670WakthAhvWB9EmRQFJu95DAL9IZKiihgICXzkSifVvYcMUd7jOqpPLAs1NXme1HqtPSvtge7UAu3M3dapENFcpItl+ChCZ3LbbPzMkvC+oinYWb8x1X88Zi3mxWU4+VKZK+zA9edzXhkwdx/TkLO5dPY7/8b+bQePeATzoPs/bzLG8Hv18vP/BO4oXf3Lr+/PyLwtOnRzCJxdtq2pVsXDT97WPjfnp/2Go/ernY55op+3Uv613C4/33ofb215LstFgGwB+9Ed/tCvc/qM/+qNe7hIRDaC1FvzaDOuAhZvA+C5WX/aqYuWtt1N84NnCwy9MfWUYK3b61XZXvwzrIrc7Jm22g+vu+pAq0KqhvVJhnkuBtAWxIbxOm5D8W5t0LdAo7fcT32GtFnAOkn3OWRwdt7jbchCjMFkorQCgiMS1a0eMqA+0w/S1j4Y1JMndVvt/iiALvbtnpnPLCOa30Pm4PRHeCbMllJBkty+Q7jhWwuWdAAa4H0uYvg5T2GH6+opY3B3SBRwPjB3F9NRMbvHG4+2PJ0qPrLzCdwDfc3T9L4aNagUCTxun3TQ+Lrv6b3gi2n6sJKKN2rHO7Y14/PHHuz6+efPmLu0JEfWLer2326utMfC3U159vTevzv7qrzUYbg+ggvZpPAAAn/9JREFUXj3+r31ROfX2ANsdPA/rIrc9ZVtAq9apDEmWVYe4dOV1nAVssxNgL3/rrA+9XdoOsSULrkNY7S9jAZtAnIW6FKJpWHXR+X5rAIACzqEEh8mSL7UWKAwcJATZRjox9IpJ7Fz+LO1PhI9l5Sy25i7ZuXz+sZfOxyJIbVZJ4j9tkE18Z/tvoCpQBawKFgwwF6WYiyyuhcUbrxqLq3GK2hD2XxuJcGTiMRydmsGxsGhjFmIfnTyOUrzx1Q+felLwhc9h6CsQtkJEcPYMtnTa+Cc/wTOPiIhobfx9TBvRl+F2tVrt+ngz099EtD22ayG2h6ls/P+nDzQ21tvtbUS16n8598K/++0WlpaGc+JuWPXy8X/jDb+9YTgdt9d2InjmBD5WLtrYrg/pXrRxxXVsq6s6pF0hkjb9RDXwgAA798emgKa5iewU4hwABwlBNuDrQ7Jg249Uu/ZkdtZFXYnVr+e4Zp1Ip/c694kVrdXtLyCrBtH2QpCqCr9sYxZi+77hOBIfonf1YvvpcSM+vFYV1FVwLVIfWEcOV6PUB9iRxbUoRTKMPwpsGUcnj2P2QAitp2ZwbGoW05MzODRxDLHp/Qu8IoJTJ4FTJ2VoKxC26qknBedewqZPG+d0HRERPQx/H9N69WVqfPHixa6Pjxw5skt7QkTAehZi0y0txLYehw762+pJ53bkfxnulp5WrFjgxrzD/n292R5tv2Gr2OlXOxE8j8QEfteijVl4vfTgRRvVrV4XkgXZNum+bBZSu6QTYIfw24fYYVLbphC1Psx2FoD6CWwF0A6vs0A7C4rbN9T53LJQOyMAokhXbUJZNcBeUUTdWfAxXx/iJ6sFEBOWmvThuagC4sLik2GCWwzqorhqHL5tLL4Z2XaAfS2yuGEsXJ8+VbZCW1PQ+zOdRRyXjsPd94s4on4Y18sGL+5SjyYrENbG08aJiGin8PcxPUhfhtu//uu/3vXx937v9+7SnhDRwxZisw44fwE4f0HDQmzb0x87Pi44fVpx/sLWt/Wh07v7Km+vK1aqVWW4PUCGrWKnX2138Dw0E/gPWrSxVQNa1VWu43KT1/kFG7PqkNbKy2cBtm11Bd2+RiT1E85h8houDRPWoSZE/SR2O8R2rrNdoL24Y+4GOxPaywLstRZtzBMj/iY03zmiUO10WmsWZGs2y22gMO2rZCF2tnsIVSKqgINgEcCVyLWnr28U/eKNc5Li5pD2X++rHMKewnF84z/OIrl7HLp0HHp/Frp0HGjuxYMWcGRHff/iaeNERES02/ou3P7KV76Cr3zlK+2PJycn8f3f//2b2tYo/uMp/z2P4vdPvfWVtxRnPqXrDuMuvwd8/O8qzv2i4APP9v7598JzBucvbP0//S88Z3b1+PCVKL3rPh0fZ2/lIOn54z/Gx3+5atWfZdILb7zpX0BYHjwv3ASs683jaB1w86ZgYuLBj+Omf8fnF23MhdftMFtt9+VVV9SGLJ++XiELvJOmD7vbl018zUh7qtrCB9UhpA7d2JKF2e3p6uWh9PLby1eMdOpH1n9sdWLq7vd9TYgx6uPp9k1EcLlJbIkAaLakY3tZR4QWEqQQ3DGKOeNC/7Xvwb4apbgapVg0w9h/bXBw/BiOTc3g6GSoDpmaaS/gWI7H8Fc+5tC4vLntZ1VBX/jcaPzMG6R/04sI/swp4M+c8j9/FxaAWh0YqwAHd6i+jmjQDdIxT0Rbw+O99/oq3K7VavjUpz7V9bmPfexjGN/kuQd79uzpwV4NrkceWWUVeKJ1+k9fTXHmU/c2PGVarwNnPuXwhc89gu/6zt7+iPmhH1Q88b57+NrX7cMvvIbveCLCD374kV39JfIdTzhE0R3YzX8bbXEMHD5kMDHB431Q9Prxf+KJRzAxYba+sSFy81YKa+/1ZFvWAo3mJI4d6/55FkUJgPs9uQ0AMNEE9uxZf3dw/ne82gRoLgGtJaC5BG36t+3P2e5FG1XV91inzRBAN9vva/a5XKWHZqG0TUJ43QiXb+XqQxyQ/VxtB88ut8BjGiaul01UL19PMfs4m8bOTXCvViXSLbcY46pfXr7CY3Zj2bh11PkexPjPxeI7sp2fzfabERgBmlZxJe1MX18N3ddZhUhjCBdwLERFTE/N4LG978Ojj5zAY3veh0f3nMCje05gemoGxbi05nV//ysJLl/e2jHzjcvAn3xtYuQWUh6kf9Pv2QMcO7bbe0E02AbpmCeireHx3ht9FW7/3M/9HN577732xydOnMBf/+t/ffd2iGhEqSo+8cmlTdcn1OvAmbNLeO1/6W2ILCL4zKcn8NGPbTx0B/yilOdemtj1V0cnJgx++IeK+K0vrTL9uEE//ENFBpsDph8e/6Ulh+s3HGo1xdiY4MhhM1TPo1qtt6Fitbpye2Njvf058qDJRnV2WXhdbb+P5pIPmpdfpx1eNzohdju8brUnnVVdLnwO1SHtwDsLr5NcBUgIfbPA2/mu7PZCj8vDaH+l/J4t31MfercD7+y6+csuv2/W+Fgkd7v5aezwsbrO/ksIwo0BYLqD+WxbUDTVL944F6eYE4tvmxRzkuKKSXFNLNIhHLYZK0zg0T3dwfWje96Hx/acwKGJRxGZaFPb/dVf2+TqrqtsZ9TCbSIiIiJaW9+E25/73OfwxS9+sf1xsVjEP/pH/wil0toTIA9z9+7dHuzZYBGR9is/9+7d89NWRBv0H/5A8bWvb63+40++ZvE75+/2fJG06aPAuV80OPMpt6GAu1Lx15s+uoR++NHwYz+i+K0vbX07f+knygB4vA+aXj3+P/Yj6bp/16kq/uAd4NXXnV8YNjc5HkXAh74feP45g1MnB//0OGt7eyw4u4S7d7vvk0pZEUXozQR+5FCR67h3pdrde92qAa0lSJr9sBOMVSoAgNrS/fbEdddije0ua9vpulYLOAvpCrFbPrx2YZHGbPJaFQjhparzlSJhUUcJ/didCeyH3G9+VUUIXKe0Y9XFHoF1T2OvCLBDIJ6F1+3rhMtm09iyLMTOpsYBVNXiSui7vmI63ddzxmJe7Mp1I4fAI+X9mJ48julQHXJsslMhsqd8YPWfAQ5YvL+4qdurVhW//b/2pkv83/12C3Nzd4a+6oL/picaLTzmiUYHj/feN230Rbj9m7/5m/ilX/qlrs/9wi/8At7//vdvabuj+ATJU9WRvw9oc159vTf/AX31dYeTT/d+GvTZZ4BX/nt54EKXeSdmgU9+QvDUk/3zc+Hk034BzvXs/1pOzALPPuN/jPN4Hyy9evyf/tO6MiNcxUMXhrXA71wAfueCCwvDykAv2nbwgCIy3YuabVYUAQcOrLyfx8aA09+PdS5yqyhHDYzFVYzn/mQfn/yuGia/tez+dmlYnLG781ojwCV1mPpSmLgOwbWmuY/Tdpd1O9hWiywMzhZA9LdjAU39dHaY3Bb1E9jSnnjGsmFpzWXRuXoRKNQqnOuE1wIHFX+rgpAxh690y/2uaAfY+dtYfru5+pBceK0mAsTk9t1BobgLiyvSxJwJAbZY/75Y3B3SBRy1ehS6OIMJzOAv/WjowJ6cwdGpGUwUpx583R7/Prkxrz15IQjwP6/mFxQzY73Z3iDg73ii0cJjnmh08HjvjV0Pt3/3d38XP/3TPw3nOv+x+Kmf+ik8//zzu7hXRKOrWvUr3ffCG2/47W3HdNVTTwq+8DngnXeBV1/3+5wPsqII+NBp4PmPCE4+3X+TqCKCs2eAj7+oqG/iTO1KGTh7ZncXxqTN68Xj/8lPrG9RtbfeVpw5u/7bufye369zLwHPPjOYz6/xccHp07rO4PnBPnR67cqQF54TnL/g/zFaNM2uwNq/rbXfj6Q72TOwKEYtlEwTH/zOFuRu4oPsVh2S1tpT1dBs4tqH0M6ID6utzXVbhwAbnaUNu/6N7FKophDrK0TEJj7sftg/pBXwU9Hq32TJcvb5EGhnH2f/lJP2X8hl36GxOtwN0Ypmi+UB9rJpbRhADNQYP41tIgDiQ2wFnKZYEIsr0ghT150Q+4pJURvC/mt1EXTpMejScej9GejiLHTxuH+79BhgK6iUgX/08u6/WLXZmrO11Gq93R4RERERDa5dDbf/43/8j/g7f+fv/P/Zu/84uer6Xvyvz+ec+b2zP5LNJtkNyW6AROCrJoFwxRpAba9isfy411JtuUBVikqh1rYKRqUao/aWem9A6/UHiNXbWi2gvWLxqiSgcgsIVAUJAgmQza/Nj01259f59fn+8Tlz5szsr9nd2dn58Xo+HrA7uzNnzszu2c2+znteH9i2HXzsne98J6699tpF3Cui9nZ4pDbTjoDezsgRYI5rws5ICIFNG4FNGwUyGYWRI/oP3mQSWNY7fYdtI1i/TmD7NswqeAR0sLl92+KHFTQ/9fj67352dsF2US6v9+v2HWja77Nw8Dwfl13iP37X1lUhdqk25JyeDN7x6jFkjmVhSrvsdgIeotJCzCggKi1EjTxSRhYJI4ukmUPUKMAQLjqSLlbZLrDfD7Ar6znCATb8yhAhIGxL92XrK+kOEM+CcG3AtSGD8NqfohaVmw5Xg1RWjIQulC3+6Nd/VOyjAqBcEY6nJ2nF1hPjwg+ZPQ+QsjLAFn6AbepJbMMElN+PrTw4ysNBYWGfyOkAO1Qjsl84sJrzW3VaMSOBlZ1rkHTX4OlHB2EfHywF2JkBQE39T/lG+l3ht+nUTLKNpraJiIjmKpNRODyiTzInEkDfssb/G5loLhYt3H722Wdx7bXXIhsavXjb296Gv/qrv1qsXSIiNO90VSolFixEX0ibzxG4fQfmULHCf5S0goX8+iulq0jmMhkO6ID7k59SuOsOfSKp2f5xvHEDZlX9IuEiaWaRNDPoMMeRNLM4bVUGmzuyEE9n9CR1mPIA18I73pTH/f+aRVRkkTCzSBo5JMwsotKCKR0Ywg3+m3CfEhg8BYDjb6/YHQ34iyz6tSIAoOBPW+sKEeGEp68rF28s1YSUgmlRuiwQCrZD1y/rw648MRDuvi7/unte8bMKCgpSVN6u+JwJKCXhKQFXGXAcE/GkCcMoLvAI5JSDA8LSFSKwMWw42Of3Xx8ULrzG/Zabs45ol+67Tg/qDuz0Ggx0DmFl5yCWJpYHr9DY/Sq/XujAzNtstN8VfctQ06qgZb3z3w4REVErUkrpVzffo/Q6O+FXN0tgyxaFyy9tzFc3E83VooTbL730Ev74j/+4bBGsiy66CB//+McXY3eIKITTVfXX7BUrND8L9fV/4sn5dXoDwAt7gG9+S+FXv2q+fxxXVr8IeEgYuUmqQzJIRTJIGOVn9iKmwjt+twBxNKcXdrQzEMXKEDsP4eQBz8UKz8F/2eRh38uAN0NwJ4UH5YfMplQYGHCRMFwoSwfYQikdZvv918LT4bWC0p+DCtV9qNDbygUawz3YlR/zQhUjlbcTU7xfvH5xart0Gx1si1IXiRJQSsBTAp6ScJQJRxlwPAOekgAEMtLBYbOAQ5EcDgobh0xdIzIsHBxp0f7rJYk+rEwPYsBftLE/PYT+Tr2gY2esp6ptNPPvinpVBREREbWzGdfZ8fR6MTt3KX+dneZ9lSZRmFB1bi4/dOgQ3v72t2N4eDj42AUXXIDPfe5ziEQiNb2v48eP13R7zUAIEaw6Ojo6ymJ6mrVMRuEtb1U1m66677uCf4TOUrUVKzzeW1OtKna2fsyrSZBUjYZZhNLOBZUhwhoHrAyeezqDb//jOEwvG1RiAICAW1rY0fCnrs0c4kYOqUgep68tIJ2sfgW8fF5heBjI53UALIQqTW1LFwZcSKEghYdYxEV3pwfTcBAEzMrTizgGU9PFOo5QKK30tLduIfF/SE+oHCluT5VfnlZlkchkvwBCk9t+kK2UgOVIeH547XgGXGXAhcSotHEoUsBh08IB08YBw8Z+w8EBw8GYbL2fVVJI9KUG/AB7CCs712AgPYT+zkGsTK9BIlL7lxY1Wx3X408o3PD++X/td3xWYNPGxn2ctcLf8UTthcc8zdds19kBShVmzbrOTrPi8Q709FQ33FGtuk5uHzt2DFdffXVZsH3uuefitttuq3mwTURzw+mqxdesFStUG7X4+tdyYdhq1G0RSsfSE9SFcQi7GGKXOrBRDHxdG3AtwM5ifTyD6y/O4Kkns3DzecSNHOJGARFpQUyo3gBiMWBgAIjHp3gcQuq3yvOrQxzA85CQDk4bcFHIu8iOK+QLOkA34EEIBSk9xCIK8ZgH0/R0TYgnoJSCgBeaxA4t1AhgQh+2h9Lni7fxQtPUU/7juKKGZJLHXgqvZej9Uhc2pKH7sGUEjhB4YdzBS6KAw5ECDpoWDhiOH2S7yLfgAo4RGcXK9JoguA4H2Ms7TkHEiNZ1f5rtd8Vsq4Ims3ZIb4eIiIhK2nmdHSKgjuH2+Pg43vWud+GFF14IPvbqV78aX/jCFxCLxeq1G0RUhZovxEZEdVXLhWGrVZN/HE+yaKOwsoA1DmFnAacQBNfCtQE759eFZCGcnJ7cdvKA6wBeaYHHJQC2nKmQzQDHjgEnx1Ge7QqgMw0s6QGSHYb+gFJQyvN7rfVij8JzAM8phehByFxMnBViBhDr9KA8T+ffCpDwIKWCKF7PLU1di0krRIKNhy5WM409U4DtB/PFwLoswPY/Lw1AGFCGiYIQOCBdDMPGPmFhP7LYJywMCwf7hQN3ySS70OQSZkr3Xneu8atDdJXIyvQgepMrYUhjsXexaVVWBc1WIq57xBupboWIiLRmW5ulldR6nR2iZlSXcDufz+O6667DU089FXzsFa94Bb70pS8h1UwjJ0RtgtNVRM2t1gvDVn2/M/3j2HMBOxsKrkv1IaJwAihkSsG1a+mw2s5C2Dq4hpuHcIuLKvqVHlUTSKaAZApwlYRtC3iurg6JmC4kdHAtcq4OsFFs3xD+3ZR1f/iT237w7S/GKPxqEShPh9ZKQUehnl40cupdC+XRXnmIXRZ8hz8uUaoPKd64OGVd/JgM3Uco0BZCh9gygnEpMCxd7IODYWFhWGT1Qo7CxmHh6nUoW0x3fClWpgdDizj6VSLpNeiO9/IPuwW0fp3A9m2Y88umOVVGRNQ4uHBhY6jVOjtPPAls2liDHSJaBAsebjuOgxtvvBGPPvpo8LGhoSHccccd6OrqWui7J6I54HQVtbpWny6p9cKw1VM48FIWT/17Fq9cn4UoZCAKY0B+FCI3ClE4qUNr19YBtpMDrJyeunYtfxFFfzrac0sT0rMlQlPJ4RDan742PRemKvZpS8A19bQyDChDAtLUQbXnAZ6lg3TlTgiwpw+hy/upEf55qNzQJHbFRHbZ23BoHd5mMbSunCIO34/wa0QkjkuJYenqEFvYGIblT2DbGBWtuYDjstQA+tNrJize2J8eRCqaXuzda2ubzxG4fQemXfAqbO2Q/jcFg20iosbBhQsbx9331qYK7p7vqLZY04Ja04KG20opfOhDH8LOnTuDj61atQp33XUXli5dupB3TUTzxOkqajXtNF3St0w/poWoJokbOST9hRjT5kn0RI+hO3YcXZET6IyeREwWUHjARmTcgZvLIZ/NQ9kODOkgbjowhB9ch+s9ZkMpHeAWA2wFPywOV4d4+jKUDoKNKJQ0ocy43yTi14Eoxw/Z84Bj6QoSzw+wUQywgzueJIQuTkn7HdUyHGD7t/cqQ2xVfvtge5XT16GAPkzI8AVASnhCYEQCLxvQIbawMSws7IMOsLMt2H9tCBMr0qcEk9fFhRz7OwexsmM1omZ8sXeRprF+ncDX7tRTYnffq9cIKPuZbOh1Oy67pDV+JhMRtZLZLlxYt7VZ2lAt19l58EG9vVYa+KH2IdQCLss5PDyMN7zhDWUfk1LO+h+oAwMD+L//9//O+v6PHz8+69s0O666SrU201n5ME5X1ReP9+rN5vtYT5c0//fx1o95c1oYNiItpMxx9ESPoSd2XIfX0dGy8DoiLUSkDVM4+j+pQ2tTli73dLnIjLsTu607gCVLdD3IpOGt5/nhdfHzfugbLN7o+sE0UAyMlREBjAiUEQWkf95e+eG1Y4VqTSxAubOYvvb3QYS7qkNvlSpNmJcF2JOF9jMF1ZNcT5Tu2xYCBw2FYRMYlh5egg6w9wsb+2HDasEAO2YkQos2liav+zsH0ZcagCHrui46LaBMRmHkCJDNAskksKy3tV5NMxf8HU/UXprlmN/9rJrXq3tv39H8/8ZuJHv2Klx5de2+V75+l8DgGn59FlqzHO8Lqaenp6bbW/DJ7UqeN/spLdd1Z74SES0ITldRs2vX6ZKpFoaNiAKWxo9giR9ed0dG0R0dRTp6Ap2RMSSMHExpQ0BPN5tCT13r0NqFKWyY0oUhHBhi6t/PmbFJPqiAsXEP4+NANCrQ3w/E4/Dz6+LCjACUgFCAKk5OCwEYEcCIQ5kxKBkpTX97lu7lLoz7i0mWJrABV09Oh3egLMwOV4dIHSTLionpYnBd3GaxF3vCgo1i4vuThtcV1w1NoefgYb+hsM9QGDYUXhaOP4Vt4xBseM377TglVehCBwZx7iuGsLJzEP3pNbr/unMQSxPLa/47pdUriZpVKiXAZXiIiBobFy5sPLVeZyebre32iOqFIy9ENCMhBDZtBDZtFJyuoqay+9nZBdtFubyu5Ll9R5P1AzoFvThj9hjOXnoU73jVMRRO+FPXkZPoiIwhboSfDAVTuDClDVO4MKSDSCjMni68nooUejFFBeHnyKXnz4OA40agIGDlFJ7fA6xe7SGdlnqBQyOip7ClCSUMHSIXF5a0MhD5UQg7D+FPYM88fR0iZGkhRYQDbP82nleqSlEITWBPFWD7l2eavtZPSnCfJ+Fhn+Fhn3QxbCj9VjoYho2jYrpVJ5uXyvZBjQ1CjQ3CGxuEGlsDNTYENbYGsHrw3z8rFrTjsZ0qiYiIiBYKFy5sPLVeZyeZrO32iOplQcPtVatWYffu3Qt5F0RUZ5yuombRUtMlytMBr50DrCxE7jhE7hiQH4XMnYAonAAKY/rzrh3c7J2vVfj5zx1IFa4NCYXZsw5TFaTwIIUHpaT/EQGlBFwl4SkDlheBq4xg8lsIBaUEPEgIAbjKgOuZcJQJxzNw5Dcezn5lDqlIBiJ3HNLOAk5BB9jBopIVE9eTvXSvbPpaVizg6P/PcwHPLlWIeJMF2HLi5Um//hUf8yewFRSOCKUXb5Qehg1Pv/UD7LE5nDBodMqTUJmBIMAu/bcGanwN4Ez9S2PtELBxw8LtGxe8IiIiqg0uXNh4arnOjmHowTWiZsTJbSIiaklNM11SnEy2c4Djv82NQuaOA7lRP7geh3ALEI7l90aHg14XcJ1ScBssquigy3Nw7jqFfS/7LR0zUjCEBylcKAhACbjKgKNMeErC9cNr24vqdR0BCOH59dgiCLRdJeEo0w+xDd3jbWSRMDJImFkkjBwSRh4Rw4YhXBgHPRgJTLLgIqAXjVSh8FoAwihfVDJ4LsIBth9ae8XthZ+AcIAdXsAR5R8LC/VtO1A4JPzpa+n6AbaLYelhGBYKLdh/rdwo1NjqyQPszCmAF531NhNxvU7DQp08atdKIiIiolrjwoWNKZUS2LJFzWmdnUrnb+Ersql5Mdxuc+yeJKJWtejTJUoBTj4IroWdLYXYhZMQ+RMQ+VHAygJ+cC3cgg6vw0m08rulXUcvqOg6fnjth7gz6EgJDA4qDA8DluVBwoMhPHhKwFWmnqRWEh4MOJ4Jy42i4EXhqAgEPJjC1ZPaEH6YrfzaEQlbGXBcfb2YUUDSyPrhdRYJM4e4kUdU2rqqRHiQCIXyKMbHOrz2HL8xpFj1IcKhc0UHtlfsv64MsCu/5uGvW+UE9jQBNoCCAPZLF/uEi2Gj+NbDsHRxQNhovflrQFkdUONroE4O+W/9KpHxNUB2JaCMmt1XIg5s37Zwi0q1XSURERHRAjo8UpvpYEBvZ+QI+GrgGplqnZ3ZuuwS/ruHmhfD7TbE7kkiajWVJ+pSqQWeLvGcUlBtZ/2p63wpwLbGgfwJCKege7CLNRvFANsLRaNl4bUOrIXrBkH25AXSkyguyFhclFEY+vWFwkAsZWDtOomTWRP7Dsbw0kgMrh9USuHCFB6WLQOWdAk895wOr6PShqekntKGgCktxKSFuJFD0swhaWQQN3OIGQVERDHAVqEAe6JiFzcg4PmT4QoCnhJQrkAiKgD4j8Hz/F7tUCe2fqBlWyy/g8r+66nDawAYD+pD3FKNiP/+4Rbtv+6OL8XK9KBetDG9Bv2dg1gSGcSfX7cGbm4pJvaK197aIT2xvVDhcUtVEhERETUALlzYuDZuAIYG5/eK1YWuiSNaaAy32wy7J2kx8BUCCy+TUTh0WDXcc7yQX/vpTtRJ4Q/zzn6riMmCP3Wc8+szcsj8Oo/OJaHaEEdPWAv/rQ6vC6Xw2g0Fo8pfqDD0nwjed0th9MwP2A96/XlnCShhQkkdYENKwIiW/isLevXkdTotcMZygXWOh3zeg+t4ME2JWNyEKV3AtXH8YAHKyiNuZpGUWcTNHKLSRkQ6Qd+2qDJwrwyw4ReXCH96XPoVKBIKQimgUD7Zrd/OPcBWUDge7r+WTijAdjAqajSC1GCWpQbQ7wfX/ekh9HeuQX/nEPrTg0hF0xOuv2evgpurXZXKuZuBn/+84uS5oV/uetklC3/yvGkqiYiIiJoEFy5sXEIIbL1ZV6vN5cT+QtfEEdUDw+020mzdkwxEmxtfIbDwlFL490ds/OM38/jxAx7c0DDwYj7H9fjaz3SibrJgW8JF3MiXOp/NUngdD12WfuAZERZihoWoLCC2z4KR8UNsp1C2aOPE8NqF8Luv4TnVh9dBSCtKb4QBZRgADN3ZYUQBwwSkCSVCFRFCANLQU9FClIJw5UEoF4CAKO6P58B0Ckh7BcDNArksxPG8nhj3HGxY6iGX83u0K0Lsyb5axQUlwwF28TOGX2miA2xPt4xA6XpsqGBfhV95EtyfCD8X009fu1AYER72GX54LTwMG34XtnCQbcH+a0OaWNGxuhRg+8F1f+cgVnasRtSMz2p7tZ7GetcfC3ziFv2S42xW/wG7rLd+v8MXvZKIiIioxXDhwsa2fp3A9m2YdSXbQtfEEdULw+020SzdkwxEWwNfIbDwdj+rsO1TCnv2nJz084v1HNfjaz/ZibqItJAwsjq8Lguus8H7MaNQth1TODq4NgqISgsxWUDUD7OjhhVMJwsopAoOxAkHcN2Kyesqw2thlE0cK3+78CevhZRQQgLSDP1noBR0C8CIQkkZdF/rimld4SE8W9eiuKH9Klah2DnAykK4dhBgl+pLJoaAUijEY4AVerqKAbYXBNj+bgGQUgfYhnD9x6RCAXbZk6CDbKH8kLv0DAMCngIkhF+xXf49YUNhf3HxRumFakRcHBAO7Bb88REzEljZuQYD4cnrziGcsepVWJ4+BeMnx6HU3ELcypPHVVffVCmZ1EH2YnRpcsErIiKi2uPChY1v8zkCt+/AtH+LhS10TRxRPQk117+MmsDx48cXexfqTgiB7u5uAMDo6CiUUlBK4b9dU90PuKmsHQLuumNhX6oyUygWpkMx/iBuRLN9hQBQOmO8GK8QaEaN+hwvyH4pT3dY+wsz7v1NFn/337OQbjY0dZ2HKSf2IxvCDYLqmCzo92VpGrs4oS2gYAoHhnRgCgemdGEKG6Z0YQgHhnTxinWANCbbR6lD6NACiPqXql+zIXRoLaSAgvSnriP6NtJE2VSyGYMyozrkLka/xQlsz9F93q5VvrCkawFuAbByuibFtfwA2y0F2MGv+dCv+8l+9Yvw4o0Crgfkc4DyFIT0YCC8KKTSV1W6Q7u4NR27+8+rUKUAW1XOgU98LrPwcCjmYr8xMcA+LFx4LfjjIR3t9qtD/OnrzjXB+0sSfRN+5072O75aC1PjM5FhAPd9VyzaH6179ipceXXt/mn79bsEBte04DcfNbz5HO9E1Hya4Zh//AmFG94///3a8VnBV0YtoODffPfqE/6LVRNHU2uG432h9fT01HR7nNxuA83QPdlslSk0uWZ5hUAza9TneC77ZQobppPDZz+Rw/aP5bF2Vc5fpDFftkhjQCns+t8Kg37jgoCHqFFALDR1rd/qENsQxZ4WBVO4MKUNU7gwpINIKMwuXa+cqwy4ykCqIwYZN6CKdR9+qCvgAaEaEFWctjZMQET8OhHp7wEAIwJlxgAjBiUloHT3tFKAUP4ClbnjEI5V6uZ2HcCz/EUpLT/AtvXnlOt3druYNLieLsD2A/TQjUKLOOr/DCikooCnFDxXwlXFShGhs2qlIKW+qVDFWfRSR7ZS5UtLKiicFAr7DRf7DBf7pX47bHjYLx0cN1qz/3ppYnkouB7S1SF+nUhnrLb/qJvKXGp85mqxp7G44BUREdHC4MKFzUEIgU0bgU0bBTIZtWg1cUT1xHC7DTR692SjhnU0O0rp8GQui1gA+uv5yU8p3HUHzyBPpVGf44n7pRA38qWKkFA1SLgyxJSl3uqHvg6cdlVxcri4Ga9s0cZDw3mkCxZ6O3V4Xbq97naOSAeGcGBKpzzMFuVT3QoCjmfCVQbyXtwPsWWwdqGArs4w/b7oZcsUABcQJmBEgsoQJSPlixsaESgj6k9gx4orPgLwq0OcHGBlILJH9WMKd3O7lu7xLgbXky08GV5kMVhcchJlAXb4gfs1JJ4KTXSHAmWdWPvZtAguSykgpYIZ3KVfJuLfj+sgqCrxoHBUerpCxA+uh/339xsOxmXrTSVIIdGXWuV3X+sp7IHOIaxMD2JlejUSkUXo5giZyysq5uOySxb35zcXvCIiIloYXLiw+SxWTRxRvTHcbnGN3j3ZqGEdzV4zvEKg2TXEc+y5/nR11q8LyeHZp7LoG89hzYpc0HtdrPyYSXHRRm+sgEPPWVjZW1y0UU8pawpQLo79xsGqZKkupDh9HXQ9ozRt7SoDthtBTiXgKgOeKi1YaEjdD20Wg3DlQEHC8Qw4yoSjInBcE64ykUgZ6FihA3EYJpQR093Xpg6xIQyo4hS3Y0FY4xDZY/r5cQp6ItstX2xST0c7pQls15/UVm7F1PVMAbYsBdHh2wClCeyg+Lq4XQST5zrJl6UPitB1JizsiGBI3YHCIeFhn3QwbHh4OeZiH3SAfcBwUWjBBRwjRgwrO1aHKkRKVSLLO1YhYkQXexcnNdeTx3PVCNNYXPCKiIho4XDhQiJqRAy3W9zhkdr8gQfo7YwcQU3P/DVEWEc10eivEGgFC/4cO4WyOhBh50qX7Zx+GwTOJbt/4mHVFD8Xios2VtaHVC7aaAgXx3/joN9wS33SQRhs6/aNcQMdpg6gXWUg6yXg2jrI9vx2Z107UgquY6IQLIboqIgOrz0DtheD7RlwVenXoKsMFLwYLDcGy4vCEzG8+bejcJeZAJQO3K1xCGscMnvEX6SxoINptzKc9qA8PYktHBvwrNLjKdaITDd9DZRPXxe/XOH+bBWawA5vZ7IAuxhSC71vxSoV3YniT2wXryCAgr+AY6n32p/Alg4OCBduCx6iyUiHrg9J+4s3pgeDKpHe1ErIykn4Bjffk8ez1SjTWFzwihZb5YKtfcv4fURErYULFxJRo2G43eIavXuSgWhraPRXCLSC+TzHAh7ioTqQ/U/kYL2QR8IMhdZ2zp/0nR0rb2N4TwFd0ekXbZTBpHT5Yo0R4UAID56SsE4a8AomDNOEMqJQkYS/6KJEJqtwJK8Da0O4MKWje7VNF1IouMqA45l+eG0i5yXh2CYcZaCYDLvKgOVFYbkxP8SOwvKiKHgxuJ5ExHCQMsbQEclgWeIo/tOrs+jJZyH2+JUhyvWDYgl4CgoOlOtCuJYOuYM+bDcUdFcRYIe+UmXd2UDpaxJMYhc/jlKAHe7QLobWxT5w+O9PsgvjQung2q8O2Sf8KhHh4rCcvIe82XXHl4aC69BCjuk16IovXfRgtpZqcfK4Wo02jXX5pQI7d83/3xeLXbFCzWO6BVsNCWzZonD5pVy8i4hax/p1Al+7E1y4kIgaAsPtFtfI3ZMMRFtHo79CoBVM9RybwprQZx2v6LaOGxNHN3MvCiSXVnG8KFfXbbiFYFHDIMh1CnDHHKzrLIbXrt93Xey+1hPKQih4ngzqQhxlomDHgssKIpi0zrsuUqbrd1IXp6E9GHkT6YietHY8EzknCUcZcLyIrgwBdEDuxVDwQ2vLC4fYMSgAKWMc6cgYUpFxLItlkDKzSJhZxKQFQzpQSsKMGli9xkAirgDLgXIdCMeCcHOlRR2DANubPrwGKgLsCU9w6U14ojscdCvlh+qGvy0Rup5X/n7ZALfC8WKAHUxgu/4EtovRKqtjmomAQG+qHwOdg1iZLvZfD2KlH2SnounF3sW6qdXJ45k04jQWF7yiepppwVbXA3buAnbuUhgaBLbezLViiKg1cOFCImoUDLdbXCN3TzIQbR2N/gqBpqQU4BSnqvPA4Qz+v+5s2QS2XpTRmXlbk7CCOuvioo0W4AfYOsguhthO6XpeqDtaKV0pklPojuoQrbRIYwyOSsFTeppYwCtNXAt/4tooBeESnq4M8Qwo24RKRAAzCUgD8BdtdE2FkYKE5epJ63CArSexo3CVCVNY6IycREdkHL2xESTNDJL+gpYxWYAHGdSaOJ4BCU8vOCk8LOm0sCSdRdwoADkLIlMMr6sJsCe8E/5ihtaCDPVgC+jFHYXwq0L8qXDDCN2uGFz74bVXvh8uFA4Lz1+40cE+4fnT1w6GpYtsC/ZfG8LEivTqUn1I5yAG0jrAXtmxGlEzvti7uOhqefIYAKTULx4oavRpLC54RfUy2wVb9+zV35fbt+mX9RMRtQouXEhEi4nhdotr5O5JBqKto5FfIdCQPCdUB1LRae3kIKws4JT/pdyTUVjfNbegMiIsRI1S33VMFtCZs2AcCC3aqDy/TsMGVLgeQ/kBLPTksIwAZhwQUl/DVThplfdcx0U+qA4xhQMhFFzPCAJsR5mwvShsWy/a6CrDvyeB09MxqK6oXrjRjAJGDDBiMJZE8R/HTQjlIm7m0GGOI22OIRU5iKSRQdLMIm7mIaDgFutJlAHXk5DChaMMSM9Ewsyix8xhoM/vD/c8CHiQ8Gs4bP+/6UwZeIV6sCcNsP230tBpIQQgSx3dpa+DXRam21A4IL0J09f7pIsDwoHdgvlI3EwEk9f9ncUKkSH0d65BX2oAhuQ/X6ZTy5PHAPCFzwPJhGiqaSwueEULba4Ltuby+vvy9h2c4CYiIiKqBf512AYatXuSgWhtLeYCRo38CoG6Usqv7shB2Fk/sM6HFmksLso4U3o6UWdHqE65QuWijbrzulC2aKOAghQuFPSieEkBwAHgeVBQEEr5oWuiPLxVStdleK4fymf9hRH14ogpx8aqDqWntosBtjJhuVG4TmTCoo2WF0XBjemJ66D/OoqCG4WLKC5YpeAZln6erDEgexzSyiBhZ/G2M3I4OepCQejg2q8ocZSE5UbgAUgYOaQiJ5E09AR21LAg4UIKD1J4ENDfY8acA2xMHmCXVYlIHV5LU2/HQGn6ung7z0G4jzsHhWHDxT7DxbDw9FvpYJ9wcVi48Fow/0jHeiZdvLG/cxBLEn2cmp2HWp88hhIYXNN8Xw8ueEULZb4LtubywCc/pXDXHY33ygciIiKiZsNwuw00avckA9H5a5QFjBr5FQI147k6rHZy005dz1hfMaf71uH1htMLGH5p8kUbXWXAU8U+ZgBQkEJBKUAKBQEvCJlXLAfMiH89Kf3+aEdPi3uOH167pQoSQNdlSBMwTChhAtEkIE0IacJKGjh4WG9PB9bRILzWQbYOsS0VAQBEhY2oUUDCyKIzMopUZBwpM4uBvhwSL7ultmlp6mlxwwSMKJasEBg5mkPSzCJt5pA0dZ+4DvA9GFJPYU/33SOgYJr+NaY6JhTKw2ulKgJsvSV9MiDcgw3o3mtVmsD2t6Hg4aTAFP3XDo62YP81ACxNrqhYvLH0fjrWvdi717J48riEC17RQqjFgq0v7NHb2bSxBjtERERE1MYYbreBRu2ebItAdAE12gJGjfoKgao4lg6qJwTX+dLHHWvm7czVdIs2ujaUEIA0seE0gfED/m2EgqcELC8CQ3iISBvGJE+dgFdWEWJKB2uXuxBjbmnBRqAUXksDSkaASFSHyiLid0DriW8YESgjCpgxKDOmQ+czovjRs7oDGxAwhQ7eY9JCzMhhaewIkmYGcaMAU9qQUBDCA5SewNYd2CaW9ScBw4IKpt71cy/852Sp8rCx14Mq9n1Pwl9aEgq6NkVVRN1SCMjiJHUQYFdMYAuhq1kEQh3YQr8PhG7n+VPt+rIHhaMiVB9iuBgWpQB7rAX7r6UwsLxj1aQB9sr0GsTNJk5FmxhPHpfjgldUa7VasPWe7yhs2sjvPyIiIqL5YLjdJhq1e7KpA9FF1IgLGDXkKwSUFwqrK6euS9UhQd9xFayCwslxwLZ0/tvZAURjMzynky7aaJWqKaDDayVkMPmtIAAjCkACng1h57A87WFFDzA+Xtp0cbHGYnBdXLSx+L4hdHitlNALLsZMpNOm7rT2w+zioo0A9GS233et3+oAuxhkQ0jAtYNFJ+EWMNA9hg39GRQyFiLS8us/9OQ4Qh3YlheFoyTiMoeEkUfK0D3ZcSOPVDSPnpM2cMJDafp54s+GWAyw8qXnSPnPQtk1lQkIHW9L6Elw+MFyNALAhZ+CF3uvDf/xSx1sF/tfggqR0j458HBQuNgn9cKN4enrYeHCasEAO2LEdH2Iv2hjsUpkoHMIyztWwZSRxd5FqsCTx1Pjglc0X7VcsPXBB/X2WukYIyIiIqo3htttpBG7JxsyEG1wjbqAUd1fIeBagJ3360Aq6kGKU9fOHMswKymFl/YBTzyh8JvnyjNXIYDTT1PY9Gobp6zwQ2vXglC6EkQo3WkNIwJA+IPBUk8/C6mv7xQg3DHde10pXA/iudh4uo1ndzuQSofX0q+zUBBlizZmnSRcZcL2Sos2GgaweYMJ1e0H1sVFG81Y6X1h6PtyCzqMdwqAfQLSyeuucNfyJ5Z1T7eCB6EUznmlxCOPCbiuAUDpwNrIImFmkTDyiJkFxGRBT5jDhRAqCKABIBYHims6ThD6npACiMQk8gW/RxwAggAbfuW1nsR2lfAnuBXgmYglBIRZEWAD/uPx9GKaUCgoT/ddFyewI3oCe590cEi4cFswg0hG0mWT1wOdQ1iZXoOBziEsTa6ALJ78oKbBk8dEC6OWC7a6HjByBDzhQkRERDQPDLfbTKN1TzZqZUqjavQFjGryCgGldCjtB9XBwoxOvqzjOuiCXmCHDil87/sKJ47p3uu06UAp/dwJoRdpPPqSi3970URnl8QbXy+xbEkMyrMBr1QxIpzCxEnkYLFGJ/hPVITZCM8kCwOpuIm1p5rY/ZsoCrYJV5Uv2ugqI7RQYyzov/ZkFBddHEXHYASe5+rwujh9nT8J6blQytM1KMrRQbsCAL2YpFAegl5p5S+IaGV0dYidQ5eTwwWDBWROFmAKBwZc3eThT3FXfreFL0digJSTXUOVT1D7T4UhgGQMsCzA9QSgDHhCQXl6EtsrTmT79yKlQjKpYEhPd4srYEz5CzZKG8PSwz7p6CBbuDgip0rZm1t3vHeSAHsQA52D6IwtaZufo+2iXU4eL+ZiytSear1gazZb2+0RERERtRuG222o0bonG7UypRE1wwJG071CwBAOEkYOCSOHuKnfnnpKDte8I49TunMQv/aD68UQXjjRD6FfetHF977nwnMcmFLCViaUJxAz9IKOUVkIFnWMGhak6+GXDwAbNgC9S0QpBJ40uA71XReFF200krrzWob+gwCkRLonilO7o/jpI1GMHC8PsV1lQED5i07q/RvoHcdrX+NhSbeAOO5Aufp+BRSUpxdhhOtAupb/cfhVKjZgZQA7A+Hk9TR8sQvcswFP147o50shrhSiKcAulGqsw1Tw1g+dha4ZkaLYXz1xylRBT7qXOr91cC2EQCwi4LgChQLgOsUtF8N0F2NRB4ejDvYbTmkSW+hQ+0QLLuAoILAs1e8H2EPo79T1IcUwOxnpWOxdpDpq5ZPHjbKYcjPiyYD544KtRERERI1FKDXZ6+Bbw/Hjxxd7F+pOCIHu7m4AwOjoKJrpyzvTAolh9ahMaURbP+bVpEP19RcCn7ilxjUDTqF8strK4rlf5/D/fprF88/kEJdZRKQNQDdCrDsd2LBBYPUqlNVOLAghACOmO63hh7pK6cqQYuhcDGn9aeZjh/P44f0FGMpC1A+zi/3VwWb9vutwz7UpHERMF+tOdZCIVQSoZYs2mkGQDREp9T4L4deEFHuuQ53XZlT3Y/vBs3ALOHpY4de/yuLFva7OmqEg4UEI4JTVCutOA5b3uhCeU+r6LlKe/rpZGX863q9zcS3AsyBcB+Hweqoe7Mmeb9cDHBtwXAST28LfLykVDENPa6vQ4o2iGGDrFR/97wsx8fvD3wcXCodgYz9s7BO2nr7260P2Swe5Fuy/NmUEKzpWlwfXfgf2io5TEDXji72LtIDm8jt+tms0AKWTxwu1RsN8zObfCnox5fb7t0KlmU8GgCcDZiGTUXjLW1XNFmy977ti0hMMzfxveiKaPR7zRO2DxzvQ09NT0+0x3G4xzX6QBH+ANUBlSqOp6R9TErjvXyf/Y2qCYFHGrN9xnZ1kccbstKGnVVAYG9c1EtEokK5mEcaqH0wUKpIAzDiUEH4PtO6D1n3VNoRr66oTz9XBbbFPOvQWjqUDYP2g8dOHgey4Wwqv/eA6/L6smP4tLtpoeyaicRP/36sjExdtFMIPq0Od14YOsVUxvAb0fjsFf1LahoDQGbCnH5+e5AbisRgAD+OjJ5Efy8EtFBCRFuIxwDSFHmkOKl2K4XVe15F4NoRyQ1PTswuwKx68vn1QH6IXylQQek1GISCU9IfPRWkBy/B2KrcpJArKxQFYGBY2hoWDfcL2F290sF84cFrwx0DcTGBlevL6kGWpARjSWOxdpEUy19/xrXLyuNWC+nrgyYCFUethg8km6js6ZFP/m56IZqfZ/44nourxeGe4PSsMt5v7IGmEypRGsmevwpVX1+7r+fW7BAYHbB16Bh3X2VBgrSd54Vgzb2whCAGYCahIHIgkoMyEH4gWA1hXTxY7eQgr4wfsng6vixPKobdwLR1yF5X1Xbt+bYiuCxkfc/DiHgeiolijctFGR5kTFm0EAMuLouDG8LrzY+jrLwXYyoz5IbcIJq91yOyUgt1iv7SM6OluQE+WFx+Pky+F8gKImBHAsWDnTwKW/hoKJx88ZrgOBIoBNvznb/IKkPLnP/hf6flC8faVt/UnsBGawC6bulalbRUfpwDgd2Nn4GEYFvYJC/uFnsIuBtmHhQvVgod9Otqt60P86euBzkE/wB5CT2JZ2528o+rM53d8s5883v2smlfFyu072i+05cmAhfP4Ewo3vH/+/ya7/r3Ar36FSSfqz98CXPlHnTh3s4kTJ0409b/piWhmrfR3PBFNj8c7w+1ZYbjdngdJq3r61wrXvqe6r6eAh5iR1/3Wfre1fj+LuP/x667OoX/FIvUOS1MH1pEEEElCFd8X0g9ePR1c21kIKwNhZ3R1RhDyWkEwHATEbmFieB0KrqEcvc3wAo6TEQb2vGTgyHETjjLheBMXbdQLNuqO61LftQ60bRUBIGAIF2euK+CiN9p+t3axBsYPl6UJZUT1c+HXg5SC64IO7YsnFjy/PsTNB1Pzws4BTgGG/3g8zwlNXRcXYfSfh3BGEf4WqsidS5+bGGCXwmu/2kXI0tdLhB5buEZE+As8CuAEFIaFhX3BFLZ+u0/YON6C/dcAsDTRp6evu9YGU9jFBR3Tse7F3j1qQrX6Hd9sJ4+VUvhv11Q3fTyVtUPAXXc0Zof4QuDJgIVVi+/JSASw7Zmvd9qpBm7+kMK60+d+X0TU+Ph3PFH74PFe+3CbC0pSXdRjAaNWXySpuICRKWy9IKOR94PrbBBgx/0wOy7zEDP0DcciflhZa2Y8FFrHSyG2mYQyDMDzIFzbn7bO6PA6dxzSGtcLGLr25LUhrqWnsIMBYq8UXAdT1+7UizUWFXuvI0k9GV2xaKPjAE8diKDgxlAIhdhW8bIXhZ5NdhE1LMSkBUBBCKW/DshBCheeMvDc81EU3tiBaMLQ4XRFgC3CAXaxPsSfug76r50C4Nk68FdueYAdWqKxLIyeaiXHsg8ooJgpq2LCLaGkfgshdQjkT8sL6PUjg7sWuiFbGLpuxQVwRLoYhoN9KOgAOwiybYy3YIAthcTy5EodXHef5gfYeiHHlek1iJtcJYwaUyolkEot9l5UrxkWU24kSukqkrkE2wCQywOf/JTCXXc05hR/I5jvgq1AdcE2ADz3vIv33QBs/wQn6omIiIgmw3CbFszMCxipeS9gVI/7qBul/AC0vB6kWBFyyngWl67OwhBV/jU0DSF07/WsSMMPrpOhqetE6bIZB4yI38utJ61FYRwidxzixD4IK1sKaivrQoLakEIpiPVcHVC7/tT1hPB6irBUCD+ojlYs2ui/LyRgmEHfdbj3WpkxHB2N4JfHBQQUolIvJKkg4CnpLxZpQ8IFhIDlRnHSTkNBB8AxWUDMKCAqbcSMccRkAc6+AhJJSyfDrhUKr4tT2H6vtv+YRFAZEqoOURVBdujNxKlrhD4Q7r/2ryykXljTn6oW/lsIHXALVbExKWE7Arm8QMYSOCQdHDBsHDAdHDQLGJEWDpm6TsRqwQUcIzKC/tQA+jvWoL/rVPR3n4aVfg/28o5VMIsd6US0YO6+tzY/W+75jsKmjQ3+b4Ea4MmA+li/TmD7Nsy6+mUucjl9P7fvACfqiYiIiCow3KYFMdMCRq4H7NwF7Nyl/AWMZv+P9XrcR814bnmndbDAX2hRRic3bQ9yHMAZ6zw8+5v578660ysWdDSjUGZlaJ0odV1HkjoAVh5g6YUJYY1DWBnI7DEdZFsZHdxW1IboupBQ/3XxMVaE1RPC64lpbYkRAUQUyjD9DmvDn8COBJPZyozqhRuL4bUZK70vjKCfW3huULkhlIKbzyNpepDwUPBiGHPSCCfIOsB2ETdy6I6O+pfziEoLAh6isoC4kUfUsBCXOUSP5CGNAuBZfmDv6cUui93a4anrssBeTfsUBGPXSoS2UaoDUcLwF7AM1YjopShL8/pK6ZMB/vWUEMgLYD905/VLysHzVgEHDQsHuwoYMWx4Lfg3dcpI+AH2al0h0r0OK7tPxUDnEJYmV0AGtStEVG+ZjO4Ir4UHH9Tba6VXdU2GJwPqZ/M5ArfvQNWLdlZbRTIZTtQTERERTY7hNtXcbBcw2rNXv6xz+zZU/XLLetxH1ZxC0INcWowxFFw7uZotyrhxo8Czv6n+j1ZPSeTcBHJOAnk3od93E3jT65NwT03qqWszrqeyAX96PKeDaisDkT0WdF6Lgr9oo2uXTVuXV4gUSrUZ4W5rz9GLIgaXXUyb3PoT13ry2tChtTT1qmfC8Puqi5PXOrgOprCDHms9KS2UCyUNAEJXTLsOhLKglKvD70gs6IhWAIy4C9crwDQcP7zOI24UJ7LzMIQbBNhxIx96v4CItCGFByk8CChI4SFmAUKGQuzKKewpnwY1yedDndbC0BPjUurnyFOAFMGktiheHdAfF1JfXwicFMrvu3YxLB0Mo4BhFLBPFXBEVHSRt8hviZ5IJ/qTK3WA3TmI/u7TsbJnPfq7TkVXfCmDAqIGdXik/FVZ8+F6wMgRNFUly2zxZED9rV8n8LU7MeOCrWedCdz++fndFyfqiYiIiCZqkdiCGsXuZ2cXOhfl8tW/3LIe9wFAT9GGakGC0Lpi6nrKeowFsHoVsHQpcPQoYHsR5JxkEFjnnFJ4nfcvF7wYKnu1168t4MxXZwE7C5k5Ekxd6yqRrD95PUVtiFPwF3xU0wTX0/RdFwWT1mapOiT4zwCkoUNrvyoEfoCt/PoQSP9Hl2v5ayIKHfL6wbFwClDKA4wIlIwFdxtEyv7Utj75cLxUE+IUsDSXw4alFqJCB9rFyey41NPYEen4AbaCgAch/CBZl5dA+v3buvNcwVAA3PAeVPSIlE3rh6ev/QBbSv18Cd2FLYq3C+5X+lUs/qKPUkAJgWNCYRg29kk76L/e54fYJzFVH/n0X7ZGJiDQF+1Gf2Il+jtW6QC7yw+wl56BZDS92LtIRHOQy9V2e9lsbbfXaHgyYHEIIbBpI7Bpo5hywdatH6vNF4YT9URERETlGG5TzdRjAaOa3ceXLL2Yn18HMiHAtnM62F0swSKMlTUhSZz3zjj+9C/iGM9NfviawkLKzGJp7CiSZgYpMxO87U5kceUVeZjP2GXVIWVv/eqM8JS1CAfX0/VdFxUXbSyG1xWLNkJIvyYk6ofXOsBW/gQ2ij3GnhN0QxcXNgyCdeX54a8Rul/9RkkEtSOwMkFwLYIp+6x+XbCTL9Wn+O8broXNfQ5sWwfYxdBaAH6Q7f8nVDChXbr7YLVFAHpaa2LVTDGc9hf0lBJKmKV6EAgdjBc3oxSEkFAQEELfO4SAKwQOCwcHDBf7hIOXVSEIsPejgBzqd9KlXkxIrIwtxUBiBVamBjCQHsTKrrXo71mP5UvWIxrvXuxdJKIaKy6mXCvJFl/nlScDFt9kC7Zyop6IiIho4TDcppqpxwJGM9+HQtzII2FkkTDySJg5JIws4kbOfz+PhJPDgfsdrD5lEf4okKYfVMcBM1m2KGPxfZjxoCZjMqef4eJTHxvH335qHIabQSqSQdLIIhUZR8rMICbzfoWGhZgsIGpYiMoCkhELr9lsYZnrAgdchDuvy8NrF5gpGA0WbTQnX7RRGkFNSFAbUpy+NnQXNoAgoIbUncYKel1DpfxAPdQZXRYKC7N0+3Bw7eT9ANvvBbcL/hR6wV+s03/fs0shflDhoaCgIJRCKq6QdXW4HQ6w9Vel+NyUJrDLvlp+H4gCYBjhPuvi49ThdFAbErwjg8BbAYAhYQngABxdISIdDMMKAuwDKMCpXFyyBcRFBAOxXgzEl5V6sDvXon/J6VjadTqMRLfuXCeittC3TC8QXYtpZMPQU7StjCcDGhMn6omIiIgWDsNtqpkFX8DIc3DfvRksi+VCoXUeSTPrB9o5xI2cXwcxvSefRO3DbTMWTFeXTVuHpq+DUHc6xUUbrUywaGPQgW3p3uvNkQI+d20BD+0qIDtWQEzqADtmWDCEDUO4MIUDQ+q36ZSDUwcdJA0PGJ1hscYiQy/UOHHRRlO/79eEFOtDYIZqRGTED6FFEF4XI2ChPD+89uCPJvuBeikuFkCpeqQ4gR0OsG2/GsbK6K5vu7iQpR9ue/aEbm8dmheDak93VMNf2NGvWinevwkPcRPwQn+IThpgKwCQcCHgKQlHGVCenvM2DIFYvOI5FaEA23+bER6GhQ6w9wsL+2Dr/msUcBhWK+XWgS4ZR39sKQbifehPrEB/xyk6wO45Dd3pNUC8C4h1hE5sNK9MRuHwiJ6mTCR0UMdpO6LqpVICW7Yo7Nw1/22dv6X1jz+eDGhMnKgnIiIiWjgMt6km5vtyy6gs+CF1Di89nkNhrw6rw7UhVtZCx4sK56+Y//4++xvAKihEY1X8kStkqBYkAWVOEmBHEtUHcUrpENYaLwXW4UUbrXE/qJ1YGxIs3ug5WO45+K/nOTh5wsHIQQdjJ10YwoEhXB3gCqAzDSzpAZIpABDlA9nTLtpoltWEqCC8Li7aGAmqR5Q0dW2Gn1MLKCjP05PXygWUA3jl4XDwfnFC3V/8MQinnYKevC5kIJwMYOVL09dB93d40ty/c6UnrxX8ENvzg2w/wBZBRchkizWWi0QAy/LXgPQDbOVJ2DAAT8KDgNCPNngoyg+5IQTSaQkYgCeAE1AYFhb2iQKGhYXhUIB9HHZ13zdNpsNKYW3nEqxKLEd/YrlezLFzCP1dp6Ij3Q8V64SKpYFIctpXKjQjpZReWOwehYd+UrGwmAS2bFG4/FKBjRumrmBqVzwZQJO5/FKBnbvmf6rvskta/3uJJwMaEyfqiYiIiBYOw22qialebinh6qlqM4uEXw0SN/JIllWF5CBF+Y3zewRSS8v/oDo5Pkl98RwpBYyNA0uT0Qmd1sqvBilehhmbeYOVnELFQo0ZiMK4fr8w7oe0flAdegtHd4FP3nftTrpYY1cU6FoNeK6C7ehpYykBM2rAiESmXrTRiAaVIcGijUZx0cZoqRdbmtDd0AJQfpxb3C/X0m8xRXhd+aRXBtjFgL8w7j8PoQDbtfRjdcOT5qo0ZV2sEfE8AG5poUtVWuBxyr7ryfawOFUtDCi/SkRIicy4ntAWAvCUgFICChKe0gE3lIAngOPSwQHDwoFYHifTNg6ZpQUcM1Mt4NjEpBLotNLoyPcgke1DJLsCydxyYOwUOCfXImP14i8+3omBtV1QsU59csTXem3gJbuf1esCTFWf5HrAzl3Azl0KQ4PA1purXOB2Gs0eCM/3ZECzP/75aofHv3EDMDQ4v+qztUN6O+2AJwMaDyfqiYiIiBYOw22aO8fS1RBODmoki1d06aA6YWSD0DpmzG1RRsua+DF7ko9NxVMSeTeOnJtEzkn47yf0f04SOTeBN/Ul0HXWHLt7XSuoDtFVIaEJ7MI44OT8fmerfNrYtfREshvqu1aV4XWVf/lULNooDBPRcIBtROAZ4cnr0KKNfnhdUEmMjpko2BJRAXR1APGYDpCF55SC6Mq7nmqfggC7oEN6O1eqVymMQ7h53YPtWvq5UC7g2qHHXFEV4il/ArvUjx2E2AAEvEmmr8MfEKE3fkWKvzilXoiy2Imt/OBeP69CAEpIRCISHRGJ48eBnAMcNQs4YNo4YNo4aNg4aFo4ZBYwYhZgy9aLbE1PotvqRDrfjWS2D2Z2BWLZlYhn++CMr0bGWoIxO43jdifG7E6MOx1wVenXyqgp0N9iIdt0Hn1M4eat1S94u2cvcP0NCtu3AZvPmd3z1CrT4XM9GdAqj3+ulFL4+eMKd9/jtcXjF0Jg6836eJnLgtKJOPDhm0RLPBfV4MmAxsOJeiIiIqKFI5Sq1Sxs4zl+/Phi70LdCSHQ3d0NABgdHcWcvrz+In3Czulw0s76b0OXnXzQkwwAR44q3PnV2n0r/fHVAksrJreL92F7EeTdBHJOIhRYJ3SQ7eogO+/GMU0ECwD4+l0Cg2umuI7nBlUhwQR20IGd1dUhlXUhrgXYeQgn54fXTmixRrc0jV1ti/JMizaG+q71BHZxwUa/QkRGgGgKyohACQnhV3coz8OeF1w8+oiNl57LQYSmioUATj8N2LhRYPUqTF4XMSHA9gP94nS6v8AjXAvwbB1gB+E0/EUbK6pC1FQB9mT1IZXPX2gfg+lrvXBjMHUuRNBcIiCgpIQQegJb+bcRQiIPD/tVXi/gWFEfclAV4LXg35IdMNFvpjEQ6UGv6MWLv1gBY3wVkrk+yPxSjNk9GLPTGLPTOOmH2BknhZmOL2CGY6zF7H5WzSt4u32HqHqCe6ZAOEwHwtVvu55mezIA0M/Ve64D7rm3uuCukR//XAghsP9AB2768Diee37mV4S02uOf6/fM9m1i1ieQml09fyZRdR5/QuGG98//38o7PismX5uGiJpaTf6OJ6KmwOMd6Onpqen2GG63mBkPEtcuBdVO1l+YrxhcZ/2Pz/4vIaugsONzal61IUoJ5L04LC+BD380iVg66deFxAEziYwdx1vfFkfBneO0dYhpeLjv23mkItlQeB3qwC6MldeFuJZ+38nrcNu1g87nieH1LEy3aKNR6rou1ocEU9hG1H9udG2K8ieQBZReNFF5gGvrxxLap0OHFL73fYWjR2faMYXlvTbe8sYClnXngcJYEPALawyw836obwHK8QNqHVaroPva8zu3Q9UhXii0DgfYZV3YkwlPYIcCbOGH0zAAGb6u0N0sxSlt/7oQAmNwMKyK3dflAfYRzOLlAU1kiYhiwEijP9KNVbFerEysQH/qFAx0DKDTSEJEk1CxNHKqE9e+vwMnCp0Yc9LIu3MvCTUM4L7viraYLlNK4b9dU13YPJW1Q8Bdd8w8Wdoq4d58grfZasTHP1ePPgbc/BFvVovTtdLjB2Z3cmftkJ7YbteQtlV+XrSKev6uIKLmw7CLqH3weGe4PSttGW4D6DLyQP4kxo4dBqxsKbS2c7MPX2fhO9/18OxvJv+c45nBlHXejQfVILnQBHbBjUNB4vUXAp+4ZfLFGbd+zKvyJZ0KcSOPlDmOlJlF0swgZWaCt2efeRJvfZM1sTYkCK8tP7gOhdaT9F3PKJi8Nso7r/0wW5lxf9paT2DDjPqd1zEgmoSKpICIfl4A+MXP/oKR4X2twt4XFe69V/dyF5+jiLQRkwWkzHF0RMaRMjJIRcaRMscRkwXEIwWcstJGMu7/mPBcqGIVSDFEV65+W5y8DqavwwF2uD5kpgB7qnDaKNWLBHUipSltSANKCCgAx+BgGBb2Ia8DbGHpQBsFnMTCHQOLRQBYLuLoNzowYHZjILYUA4kVWJkaQH/HaiSLizZGO4KFHFW8U3dhx9L6JIuv+mNseq+/cOrjuNXUaxqvVSYxaxHwzFYjPf652v2swvU3qlkF20Wt8PjDglqae/Vi1mW1LIaubbjsktapZZkPngxoLK3yc5yIao9hF1H74PHOcHtW2i7cVh7M5x9ACvov32wuW7MFGKdlRqHMJJ57KY6/+3x5YF1831HRmbfjmy7gCYdIUVkoC6z12yxSZgbpyAkkjByi0kLMKCAqLUSNAuJSL265eUMB3Wl3kvB6lr3JoUnrCYs2GpEguNY916HOazMGxNJQ0ZRevDLogoYOr5UHOH5f9SSd11VTCvBsHNmfxf+9bxxxOYYOYxypSAYpYxxxo4CoUYAh3KBkQkBBShdSeJDwYEoPS5e4iAi/UqUssJ4swJ4hvAZCgbRAcRJbCcMPtIHy6ezSdSANKAg4AA7Dwn6UFm3cBwv7UcAw8si34JKFEQisFHEMGB0YMLvQH12KgcRyDC0ZwsrOQXieob8M0oCKpYFYF1Q87YfZnUCsw3/ep8eXTc9ePU4ItNLEX62+x2arUR7/XLTS17/WMhmFkSNANgskk3qhvXZ4xchs8GRAY5nTRH0C2P4JTtQTtTKGXUTtg8d77cNtLijZQsT4CETuKJBI1miDAogkoSIJXYFh+m+LlyNJwIwD0gAADJ6uMPr1+f/xHSxg5Nrlfdd2Bud0j+Mdrx5H7tgYkpGMDq9lAVHDQlQWkDCzSBpZxGQBhnRhCgemdGAKB4bQgW0sBvSYAHJV/IFQsWhjUBki/Pcjcaig8zoWmr6OA/EuqOL0tTD87en+aOE5pcUWM0eqaC+egWv5nddjQGEcMljEcQxw8rD3WjivV+j7FoCAC0N4kMKFhAdDeqHnyIUUOuQGPEgoOOMeIvFqA2xRmr4uC6jDAbYfWEv/c8oPuv0JbSUECsrDAVgYFro2ZBh57POnrw+iAKfa7vImkoDEgEhgQKb8ALsHA/Hl6E+uRG/HKhjxzlJAbcaAeCdSS/shEl04aQl40Q4gmprXPnAhstnJZHRYVAsPPqi3N1kw98ST8/uaAMALe/R2Nm2c33bm6+57F+fYbZTHPxet9PWvtVRKIDW/H3stTwiBTRuBTRsFTwY0gM3nCNy+A1VP1J9+moGbPqiw7vQF3zUiIiKipsRwu4WoSALVLPIGQE8QRxJ6ajiaBMxwaJ0A/C7n2RBCYOvNqPrllhJu2eR1TyqLD74rA/M5v/86P1aqC3Etvx88i3e+JoNfPVmAUOXBtSkdP5Cd5j4lMDAAlFVgTLVoo2Hq5yW0cCP8yhAVTULFu/WCjdFSeK3gh8KuDWFndTCfOYKajNA7Bd19XRiDsMb9BS79QNspBHUgQgh95s+vCinkXEjXRdp0YUoXhnBgiOLYltKT2sKDEDrIFvD8ALy4oKPmucIfrK4MsItT1sUJawklJUrhdSjALobd/gR2Rjk6vBa683q/yuspbJXHCKzpc/Qm1QVTB9giiVVmGv3RHvTH+zCQXImuxAqIeBcQCR170VRQJeLGdY2IinUBZhRCCEj/jK8aHa3J99lsj+NKibh+WXu7TP8dHimfgpwP1wNGjmDSoK5WgfA931GLOlFfy5MBc7HYj3+uWuXrT4uPJwMaw/p1Al+7E9NO1F+wReDKP0pj8zkmTpw40ZZTXURERETVYLjdSuKdcFe/BigcBFwXXsSbZOo6CUTiOsRdAOvXCWzfBty8VSGf95AwcmUBtu5zziJljqEzcjKYuk5GCnjDljxWjOeB4xkIO+8v1Bjquvb7wrsAvPo0hX0v6/UJp6Mg4HomHGXCEyZOO81ErNssLeBoxv2akNLijTCiUNE0VKJbdxRHk7of29+mQGmxRmFlIMYPz77OZCp2DiichCiMlwJs/324lh8SF6/s+c+PFwTZwrMB5UJ6ThB0qoxCV3RigC2F8h9P6Y8l5Yf+Sgl4EFDQIbSnJFxXIBEFSgG2EUxal7qvEerMNqAAHIcfYPsLNw6rHIZVHvtQwChsVGToLWEZov4EdgIDsgMD0R70x5aiP7ESqeQyIN4JREM1IUL6VSJpeLFOvw9bX16oY3U64eN4LguRtVMf6Fz6j6eTzU78WL2mw+uhlicD5mKxH/9ctNLXn4hKZpqo7+iQ6O6e/yLqRERERK2O4XaLUd2rIbtfBQDwFrq7RxUXNfQniK1xwMrgNUsy+MZfjeFH3xvF+Ggh6LyOyRxSkSySRgZxIw9T6onrdNLBmlMcJDwPOFrdXXekBAYHFYaHgUzehOMH2K4qve94JvJuHAU3hkQ6inNfE0d6WRSeGdOTsIkeINYBFUnqyWyfUApwC/7jGoccP1S7hTiVpxf5LIxBWmNAofS8CTtbvmClUn6o7y/U6Dl+4O+WFrsspsIK0JUhxf9KndimUogYoasVZ7JVcTbb0EG2kv7HRCnQVgZcz4AHCc+SWNEtIUVo6h0SngAOFwNsf+HGfSqH/SqPfcgjC7flwmsDwAoR9yew/f8iPRiILcXKxHLE4j3w4p2AP2FdumEkmMKGv6CjinXqKpEGm3Se7cum23UhskSitttLTtIqVa/p8Hqo9cmA2Vrsxz8XrfT1J6LJcaKeiIiIaO4YbtP0nEKp99rOlN4vjAP5Ud0b7Vr6en4NB+wcTrGzuOY8G2MnXRwdcTA+5kCGF/kTQGcaWNIDJFP+B6YiDN3rbUTKFm2MdZoY6o/hyGgMu1+IYc/LUeTdKApuHCesbpx0urH2zDRee34K68+MAULCgdKhsJPXj6cwBjl2SE9F14rn+HUhegIbVrY0he0W9KR18eEq5U9flxa2FJ4D5fr/eQpCKL8DG5gqwC6vowiurCewlYCChKf0zHY4wC6G1w4MeJ6Epwx4Svib8Ke4AVhK4qDh4Hlh4ZBp+/3XOsDer3K6QKTFAuwoJAbKAuw4Vpmd6I8uRV98Gcx4F7y4XrhRT2GXvoe9SEIH18EEtv82UuMkdIFV87Lpdl+IrG8ZYMjahI+Goaf1KtVjOrxean0yYC4W8/HPRSt9/YmIiIiIiGqN4Xa7Ky7aaGdCE9h6sljkR3Uw6xYAuwA4fnhtZSGcHIRrlwezk6Sb6TiQPgXwXAXbb9CQEoiYgDSKE8DTLNoYienFGY0YlOkv2mgmoBI9UIluqFga3dEUzv3PCbwyBxw9DhSyLlIR3eGdkOMQ1iHgQKF2z5lSZQs4BpPXVkb3gzsFKHg6Gi5OX7uOP31th+pW/AlslMJpxwHsggfXnVghYkgFKRWELHZdA6X+61C3ddB/LeC5AhnXgOvpqXZXSSgl4fm1Izo09wAIZADsly4OmhYOGQUcihQwEsnhSCSHY2YBnl9jAnfiU9KsOmCUT1+LOFbJFPpjS7A0uhQiloaKpaESnUC0s2wK2xNC19b4wbXyJ7ERSwNG67yMmAuRTS+VEtiyRWHnrvlv6/wtkz+f9ZgOr5dangyYq8V8/DPJZBQOj+hAO5HQz1crff2JiIiIiIhqjeF2q/PcUuWFPz0chNj5UR1iOxbg5P3J63E9jW1ldX9zaKJ4zoSAjEYQi5tlk9dKmoAZ033gxUUbzRgQTcGLdwPJJUFlgzITpclY5ej9K4bLY4cAO4sOAB0AEPfvdw6L4ZU9b24BopABrDHdgW1nIGwLys3pkwKqGGD73dduqSNcd177H1M6oA6mqyepEPE8D66tQ24TCqbUk9VQgBJ6+tp1JTxXQgiJWBwwjFCwLU0oYfjPrx90Q8JxgLHjKpiaPwngZcPDAcPCIbOAkUgeI5E8jkSyOGHWcHq9gSxBJAivV8kE+kUcq0QCA5FupKPdeuo61lGqEfErQoIqcGn409ddUPF0qUokFurMbhN82fTkLr9UYOeu+b904bJLJj9RUI/p8Hqp5cmAuVjsxz8ZpZR+dcQ9Cg/9pOLVERI47zz9Y32mNSaq0YiPn4iIiIiIaD4Ybrea3Ci80V8DuZMwjgwD+VFdG2Lnguli2DlIO6sD2vCCjfNh6EnrYKFGYeiPGVG9iKUZ0+G1EQVinfAS3aHwOgkVTUFB6rDYtUoVKIWTEGMHADtbUb0xT0oBng04hdCijWN+xUpe16z409YCqvQ8uRaE60IgHGa7kwTYfjQ6ZYWIgg6mBTwPcOxifUhl/zWCShFXGXCUAdeLwMtLLO2ViCckdIGI538NFY4IYFjqDux9RgG/6tbT10ciWWSNGnWHNxAJoA8xvXhjcfpaJNAvEhgwUkhEO/2FQTugYh1Q8S4dYhsmyrKiYhd7WR92GogkG64PmxrLxg3A0CCq6iafytohvZ3J1GM6vJ5qdTJgLhrh8YftflZN22vvesBPflq7+2u0x09ERERERDRfDLdbiVOA+R//BO/EXqjCGMx8JhRez3PkSxQ7r41g8hrS1DUNZgLKjEGZMT8g7IJKdAOJJbo6JJLU09fS0CGwU5gYXluZ+e9jJX/6Go7lT6uP6doQz4aw87paxLX1JLjnT187lg69iws2lj1/CkLNLcD2n0T9nzSCChHXE8gUBDxPwIOhO7CVCds14MKAp3SwLQRgwIMULjwoHJIuHjthoRB3cDhiYdjLYVjlsN/LIq/c8uqQdG2f1sUQgcDKyv5r//0VIo5oxD9BEu0AYml4fkCNaMfEFpVoqqxKBDE9jQ0zthgPjVqAEAJbbwauv0EhN4dXjCTiejHO6TrLF3o6vJ5qcTJgrhrh8Rc9+pjCzVvn9j0zV430+ImIiIiIiGqB4XYLEcdfhLHnQaigG3kW09gTFm009AS2YQKRlA6vjShgxv3gugdeogdI9EBFk/o6RkRPOtt5f0I8A5E/AXFyv748n2qTqfiLWQqnoOtUihPprgXh5ErvB5PXth9q64UboVw/zPaqD7D961UbYJeqQwQAwz9BoE8SHDhoomDrKW0hdH2IITxYcHHAsDAsPew3bRw2LRw2czgSzeFYJFvqvwYAu/ZP62JIQE7ovy5WiSxDDIZhQkVSOpyOpv2KkDQQ74IjK36UCelXiaSh4l06yPYvo/K6RDWwfp3A9m2YdViZiAPbtwmsXzd96LjQ0+H1NN+TAXPVKI8f0BPb9Q62G+nxExERERER1QpTnhYi7AwmW9RRf3KKRRtlBIgkoCJxKCOmK0JiXTq8Ti7xw2s/UDSigOdC2Nmy3m5xclgvQukuQGez5/phtB9gO3nAtfVilnZe14j4/4niJLZT0BPbyoVwXd197bll09VBgK3gP2eh4HpCgA2UFnD034csdVsXF3YUMgi1lZR6QUzpT7sXr+f3bQvPxdGCi93IY3/MwQHTwSGzgMP+Ao4nzRxUCw7YdcEs9V+LBPplaQK7BxE9uRpJQEX8Key4nsJWsU440UnKno3IJFUinUFvNlE9bT5H4PYdmLZmImztkJ7YninYBuozHV5Pcz0ZMFeN9PiV0lUk9Qy2G+nxExERERER1RLD7RbiLVkLtfR0COs4oBSUp3TAGklCRfxFG6N+53CiB15iCZBc6tc5JAEzoSs7isF1WXid0aHxQvADaeEWdEitPCjHKi106dlBF7auEyn4E9sWhHL96WunNH0dqgcpTWEXJ7ArAmyl/PxaT2AXB61LYbVemFEPZBfDbAOq+L5RDLD9QykUYMNzMQoXwyhgn3CwT9jYLywMqxz2iSxGYwVg5cI8pYupDzG9aKPfgd0fqhDpEP7zJE2/rsbvwo6n4ca7gFinPkFQKZLQwXXcD7KLIXYkPvG6RIto/TqBr90JvUDgvQoPPVSxQKChe48vu0Rg4wbMKmxc6OnwepvLyYBLLwH+/gto6sf/xJP1rWRptMdPRERERERUS0KpWq7S11iOHz++2LtQd3LsADrG9gCeg4yK6eqQWNpf1DGuu6TD4XWxPsRfaHJBKM+fprb09LUQOpB2ChBOXi/MWKwXsTJ+tYh/2bNLU9eeUzFVPUmAXVYjErouSm8gdA7uugKOK/0FHAWgJFxIGKZELC5hRmVpYUxp+p3hxQoS5Z9AcDEibOwTNoaFg2HhYB8KGFY5DHsZZFXrLeBo+P3X4dC6WCHSL+KIiVA4XZzCjhW7sDv1Yo7RxMQNC6HD7lAftorpTmwYkfo9wCYihEB3dzcAYHR0FC3847xpZTIKI0eAbBZIJoFlvfNf0G+mRQjDZjMdvliUUrM6GdDsj3/rx7yaLA5ajUZ8/ERUHf6OJ2ovPOaJ2gePd6Cnp6em22O43WKEEOiKuED+JMaO7IeyMhDWuK4NsbOhmo0ac+1SdQigp5o9R4faTkFPWDsFv4d7rBRguwUIx0Zx0rk0UT1VgO2VqkRmCLCDd4rd10LC9QSyOQO2I+HCgFICHiQcLwLHM+EqCeX3ZkcjCn19gBFxsR8F7Bc29gkHw7CxD3kMqzwOeBlYqPFCmA0g4kn0OUkMRuM4xfC7r0Uc/SKB5SIOMzxtKiOl3nW/B1uH0lNMYUvDn77u8q9fDLE79NeKqsZfiu1rtoFws6j2ZECzPv5MRuEtb1Vl+ztXUgK/dR7ws4eb5/ETUfX4O56ovfCYJ2ofPN5rH26zlqSVKAVj70NQzgkAgMxla5dlK680TQ0PChICSo9A2znda+3aujakMAZROKEDbMeC8PQCjlDF8HqqANudZAI7dH29IxUBtv9HuzCCALv4vpIGdDe2vpy3TRw+ZvrT2jLYjhQKeeliJFLAIcPCfsPCQdPGIbOAES+HEyoHL3y/LSLpmei1kui141juxNFnx9HnJDAUj+PUrihSnUFHCwD4izkmoaId8GIdego73j11NYgZm6QPOw1EkjP2YWcyCodHgFwOSCSAvmXzn3YlaiVCCGzaCGzaKBZkOnyxpFICqUnq9Ss16+M/PIKaBNuA/vX7J9fqLvZmefxERERERES1xnC7hYjMCMTYASCRnNsGXNvvvHahhISAgFJKV4M4BT/gtiEKJyHyJyALJ/U0uOMv5uj5/ddAebd1aLFGEQ64gxDbC30MKJvCLguwixPYRrB4oyou4lic0DZMvxPbKAtQLQv4zYiDg0Yeh2MF7DdtHDQsHDILOBLJYSxSx5W96mgpohiQSf2fiGMAMazyK0Q6RQReTMH268qlBCKxKERcLyDqxTpCU9XpyaewAb3YaKhKJOjDNqOz2tdgEvMehYd+UjGJKIEtWxQuv5STiESVqg2EW1UzPf5cjdu/stnmevxERERERES1xnC7hShjhjCxOH3tOTogBgAhIJQCXAvKsyE8D7CzELlRyMIoRGEMsHL+Yo+OntAuhtCT9F/D8yDgd2QH9SGhyetgccfi5zBJgF2ctpb+wo1GMH1d+pwfYEvh92DrTR8VNoZV3v/Pwj5hYb8qYC9yyJ1i1e7JbhBCAUucOAZjSaySSQzIBAYQxwCi6BcJJMUkgbQQUGYSKpoCYimYUb9GJN4Fb6opbCH9KpE0VLzLrx5J+6H3/H+MzNSh63rAzl3Azl0KQ4PA1pvBDlkiajqJSZYbmI/kHM9lExERERERtQqG260k0Q134GyoE88BhTHAsfXHg+DZ1vUfrgXkRiHyo7o+pOAvKulPbpcqQDBFgO3qDuzixHX4PvSFiVPYAPR0tQAQCqxlKMAWhs64Q4G2nsyWQYDtKIHDwvLD6xyGvQL2wcKwKmC/l0Ue7uTPzRRDx83AVAK9dhy9dhK9Vgq9dhLLnDhWOlH0OlEs6ZRYtWqSoNeIQkWSejHHaIc/Wd0FRDumnsI2IqEqka5Sf3Y0NWOVyFw9+pjCzVsVclUOz+/ZC1x/g8L2bcDmcxhwE1Hz6FumX4lSi2oSw9AVJERERERERO2M4XaLkWMHgfxJeLmTEMf36wA7f0IvKmnndPWIH3IHJguwlaunuIPFGkP91/pGU9SI+AG2P3kNYeju69A0drBo4KQBtkABwAFR0OG1ymPYy2MfChhWBRzwsnBbrfwaQNyTWGYnsMxOYKmdxBIrhT47ieVODEs9c8ps3oNEZ28SqiMFFU1D+VUiiHUBkdjUdxhJ6BA77gfZxSqRqSa3F8juZ2cXbBfl8sDNWxVu38EJbiJqHqmUwJYtCjt3zX9bF2wR7NYmIiIiIqK2x3C7hYjxwzCe/N/wRl8EXAuGVzGBHYTXHuApAC6EN8UijqUbTjKFHQ6wi+F1ZYAdWuhRSr8DuzSZnYHCMCwMqyz2qRz2FwNsr4ARlWvB+BroUgb6EUe/SOIUmcQqswP2y0l0ZZPo8iQiYoqpcwCWF0PGSSLjpDBupzFmp3HS6kS8O41XnC3hTjZVLYQ/sV3qww76s43IAj7S6iilq0hmG2wX5fLAJz+lcNcd7OAmouZx+aUCO3fN/7fcZZfy5x4RERERERHD7VZy5FnIw8/oImbl6VoS5ekKkaDz2itl1OEIOdyJXezALtaDGKEAWxoA/EnrogkBtoASEqPCwzDyOsD2ctivctinChhWeYyq1uu/BoA+FcGAiGFAJDAgU1hqp5A4kULsWAoJz0BEOpDCAwTQ2QGkOoFDOQVPuHCVgbybQMZOYdzVIfZJuxMnrC44amKfesQELr9IAIbpT193QcXTULEu/3JHaUq+AT3xJKbs2K7WC3v0djZtrMEOEc0gk1E4PKIXBUwkdMUEJ2dptjZuAIYG5/fz7/TTDGzc0IqngYmIiIiIiGaH4XYLEUZU1464Od2tHV74ESjv0i6u5OhPWysR9TuwiwG1EazxqDdevF5pQtsTBg4LB/tVHvtUBsNerqxKJAunTo+8fgwFrEQUqxBDv4hjQCYxYHRgQHZgpZFCXBiAUshlbex/SaFQ8G8oXMDQk9l6CjuFl8dTGHc64EU6MTLeiROFDpQ/6eXyblxPbNudsGUn3vf+Tizd3Aknmlr4B74A7r63NsHMPd9R2LSRASMtDKUUnngSuPsehYd+Ut6VbEhgyxaFyy8V2LiBryCg6gghsPVmvXbAXF65kkgA27d1QIhxKMWAm4iIiIiI2hvD7RaiYp06nLZc6MUe/U/4VSE6wDZL1SGViwpO6Mg2YQuJA8LWE9jeuB9gZzHs5LFf5WGjBqtiNZioJ7DCjWK5E0OfHUOvk8DSQhpL7CQ2D6aQTER0BK08wAsF+J4LwMV4RuHFlwxkLL9GxOnAuNOBk1YnTthdcNXEShDTADrTwMkxYNzuwJidxpjTGYTZY3YnbE9Pb68dAj58k2jqrulMRuGhh2qzrQcf1NvjBC3V2u5ndXXOVBO2rgfs3AXs3KUwNAhsvZkd8FSd9esEtm/DrNccSCSAHZ9N48wzTIyOLtjuERERERERNQ2G263EGtfhdaIbAKCK3dhhQYDtV47ICHKGxDAK/sT1GIa9HPapLPY7ORxS+RaMr4GUJ7HCiWG5E8UKJ4plThy9Vgd6CimknCRcFYGnJAQUTOnCEC4ggIThQbihShUjBhVLQUU7gGgHjmTS+PbOTpwopDDdFLarDD/E7vTD6zQs2Ymrr+3AIz838e8PVUyIGsDrLwQuu6Q1JkQPj5Q/vvlwPWDkCJBqzgF2alCPPja7xU737NWTuNu3AZvPae7jk+pj8zkCt+/AtCdQwtYOAVtvlvhP506sqSIiIiIiImpXDLdbiDCiUIkewMnodSD1BwEzhpNCYR8sXRvinSz1YDtZHLVbs/96qTIxgCiWFaJYZkXRZ8ewzEmip5BGzInDURE4ngFAQAiFiHAg/D5sQ9jBdnQQnUayJwX0peHG0lDxLiDWWb4wo1K49z6FE4XSh2wvgpN2l57EDk1hZ5zJw+9v3wPcdYdANqsD22wWSCaBZb2t1e2by9V2e9lsbbdH7W33s7MLtotyeT2Je/sOTnBTddavE/janXrtgLvv1a9oqTyxef6W0olNKfl9RUREREREFMZwu4V4S07FSN9p+PnxJ/GycwL7nAz2eVkMF7IYb8H+a6mA5YhgAFEMIIpVKqbfijj6ZQrxSBwwIhhXBn7zsl7o0oALQ7pQUDCEC8PvwVYQKLi6CzvrpIIg+oTdhbybACBwxfkC3sopgoVIAr8ZTuPf96T9ILsTY07av231SgskipaeRE7M7mmZUTJZ2+1R+1JKV5HMpQsZ0AH3Jz+lcNcdzf8KC6oPIQQ2bdQ/9zMZ1dInNomIiIiIiGqN4XaLsNwC/vvDH8Cul78DD62zwFRECfQjilWI6rfKD7IRwwoZh2nEABnV420yAiWknof2XEDp4Loj6aIz6aJQABxlYtzWHdgZv9v6pKOrQTw19eHQuxRYfYoEYh1QsU6oWBoqnoaKdQGxNGBE8JV/8vAfx+f/mNthgcS+ZXoxvlpUkxiGDoCIauGJJ1FVRcR0SieparBD1FZSqdY+sUlERERERFRrDLdbxKd3vQ8P7v0/i70bc5JU0g+sdXA94AfYA4himYjBECaUEdUVIIapO8OF7sPWIbafkHqOX/QhoCJxIJKCiqagYmmkUx34/v/pwpilp7Cn43gmxpw0Tlr+Qo5GGh/9qy44Z6Z1Z/kkuEDi7KRSAlu2KOzcNf9tnb+Fk41UO3ffW5uTg+1wkoqIiIiIiIhosTHcbgH7T77Y8MF2tzKCwHrAn8BeBV0j0g0DQpiANKCMmA6wpQklDQgIKKUAz+/AVgpQfogtzWAhRxXt0NPUiU4gmi7vwgawZBnw5t9TuPdeBdtvaMm78bIe7GIvds4tjc0l4sD2bQKnnTV9SMUFEmfv8ksFdu6af5B42SUMEKk2eJKKiIiIiIiIqLkw3G4Bvzj4s8XeBQBAn4qUhdfhaewU9MKNkIYOpY0IICNBiA0owPOCKhEoD8L1EExhx7t0gB1PQ8XSQKwLiCSAajptoymoWCdWn53GxQNp/O3n03jqhU7YXnTam60dAj58k6hqYTgukDh7GzcAQ4Pzq4BYO6S3Q3OTySgcHtHfv4mErotp5zCWJ6mIiIiIiIiImgvD7RawJNFXl/sxILBSRSbpv45iJaKIwa/sEMKfwvarRKQJJQx/ErsyxHYhXDc0hZ0K9VmngVgnIKv4NhVSXz/eWerEjnXqPmxpBFcb7Adu+5LCE0/q+oGHHioPswxD11xcdonAxg3VLwjHBRJnTwiBrTcD198wt8X7EnF98oGL9s2OUv73/z0KD/2k4vtfAlu2KFx+6ey+/1sFT1IRERERERERNReG2y1gXe+rkTC6kHNPzHtbMcjQ5HUEAyoWTGMvRwRmuK9ayFKILSNQUteJQAjdg61cXSMC+CG28qewU36NSIcfQHdWP4VtRILwGvGuUogdTVV3e+jAbtNGYNNGgUxGYeSIDqGSSb0w4VwmV7lA4tysXyewfRtw89bZBdzFuphqpuqpZPezCtu2qymn5V0P2LkL2LlLYWgQ2Hoz2uo55kkqIiIiIiIioubCcLvJ6bBqCU6ITyK65fqqbpOGWRFgl7qwe2FCVC64KAzA0Is6FgNsPYUNHV57fok1/G5sGYGKpkpd2P40NWId1U1hA0Ak4U9wdwUT3CqW1iF4DaVSoia1AVwgce42nyNw+w5MG7qGzaYuhkoefUzN6iTCnr16qn77Nv01agc8SUVERERERETUXBhuN7HysOpyLLEj6N78MZyMnYQrHSxzYljpRrDSiWCFG8EKJ4oVbhSru03EYpVb86tEZET3YRsmIEwoIfVAdGUftgcoM+7XiHRARdNQ8U7dhW3GqpuiFkIH4MUakSAEn7ggZDPgAolzt36dwNfuRM3rYkjb/ezsgu2iXF5P1d++oz0muHmSioiIiIiIiKi5MNxuUpOFVYkT67BtdCWicupxQU8JHD5qoG9FBNFk1K8RCfdhu7pSBNBVIlJCRVKlLmx/mhrRVPVT2NIIFoHUXdrFaewOXW3SIrhA4vwsRF0M6Y7tbdvn1msO6ID7k59SuOuO9jipwJNURERERERERM2D4XYTmiqsSsgsMnYKRmQMgIILA5Ybg6NMOJ4BVxlQkBDwkD/k4rRTiwGOChZ01D3Y6VIXdrVT2ABgxvQUdlxPXwfd2NEa9H40AS6QWDu1qoshPQ0/nxMuAPDCHr2dTRtrsEMNjiepiIiIiIiIiJoHw+0mNFVYdSjfj5cyg+iJHUNUFiChYErdhy0EoJRExkkh66QwNtaBxBmdWL66C4h2ANKofgeiqbIqEd2H3QmY0Zo8vmbGBRKp0dx97/ynkAHgnu8obNrY+t+fPElFRERERERE1DwYbjehqcKq41YPXhxfjai0kBNJjDkdGLM7MWancdLuhO1FgfBikbuB31s3RS2IkH51SGlRx1kvCtmmuEAihWUyCodHgFwOSCT0ooX1qljJZHR/eS08+KDeXjvUw/AkFREREREREVFzYErZZKYLq5bEjuGo1YejR/qq2tazvwEKjolop9+B7S/oqGKdukqEk4dzxgUS25tSSn/t71F46CcVX3sJbNmicPmlC/+1PzxSft/z4XrAyBG0TV0MT1IRERERERERNT6G201murDqpN0Fy4siKq0Jn8s5SZz0p7j1f504aXfi0qUJDK5hGLMQuEBie9r9rJo2EHU9YOcuYOcuhaFBYOvNWLBANJer7fay2dpur9HxJBURERERERFRY2O43WSmC6vybgK7Dl6IVcl9kMLDSbsrCLMdFZn0Nu0WVi0WLpDYHh59TM2qymLPXt3tvH2bnhSutUSitttLJmu7vWbAk1REREREREREjYvhdpOZKaw6aXfj6RPdVW9vLmHVYnYIEzWq3c/OLtguyuV1t/PtO2o/wd23TNeg1KKaxDB0mNvOeJKKiIiIiIiIqLEw3G4yixVWNUqHMFEjUkpXkcw22C7K5YFPfkrhrjtqe/ykUgJbtijs3DX/bZ2/hSexiIiIiIiIiKixyMXeAZodHVbVZlvVhlW7n1X4b9co3PB+hZ0PTgzWix3CN7xfX2/3s6o2O0jUJJ54ElUtOjidF/bo7dTa5ZfWJpC+7BIG20RERERERETUWBhuN6F6hlWPPqZw/Q1TL45Xqdgh/OhjDLipfdx9b22+3+/5Tu2Pm40bgKHB+W1j7ZDeDhERERERERFRI2G43YTqFVbNt0OYE9zUDjIZhYceqs22HnxQb6+WhBDYerNAIj632yfiwIdvEqwbIiIiIiIiIqKGw3C7CdUjrKpVh7BSDLiptR0eqU0HPqC3M3KkNtsKW79OYPu22f/MSMSB7dtEzRe6JCIiIiIiIiKqBYbbTWqhw6pG7hAmaiS5XG23l83WdntFm88RuH2HqPpVH2uHgNt3CGw+h8E2ERERERERETUmhttNbCHDqkbuECZqJIlEbbeXTNZ2e2Hr1wl87U6BHZ8VuPACwKj4DWAYwOsvBHZ8VuCuOzixTURERERERESNzVzsHaD50WGVnpC++16Fh34CuG7p84YBnL9FLx65cQOq6s1diA7hVIohGbWmvmU6JK5FNYlhAMt657+d6QghsGkjsGmjQCajMHJET4snk/q+eawSERERERERUbNguN0CwmFVNgvkC2lkMgqeO47e3tkHywvRIZxK1WZ7RI0mlRLYskVh5675b+v8LfUNl1MpwWOTiIiIiIiIiJoWw+0Wk0oJDAzoL+voqMBc1nNslg5hokZx+aUCO3fNv4Lnsks4NU1EREREREREVC12btMEzdQhTNQINm5A1d33U1k7pLdDRERERERERETVYbhNExQ7hGuhHh3CRItNCIGtNwsk4nO7fSIOfPgmUVUnPhERERERERERaQy3aQLdIVybbdW7Q5hosaxfJ7B92+wD7kQc2L5NYP06HidERERERERERLPBcJsmdfmltQna2CFM7WTzOQK37xBVV5SsHQJu3yGw+RweJ0REREREREREs8UFJWlSxQ7hPXvnvg12CFM7Wr9O4Gt3Ak88Cdx9r8JDDwGuV/q8YehXNFx2icDGDWAVCRERERERERHRHDHcpknpDmHg+hsUcvnZ354dwtTOhBDYtBHYtFEgk1EYOQJks3px1WW9rOohIiIiIiIiIqoF1pLQlNghTDR/qZTA4BqBM8/QbxlsExERERERERHVBsNtmhY7hImIiIiIiIiIiKgRsZaEZsQOYSIiIiIiIiIiImo0DLepKuwQJiIiIiIiIiIiokbCcJtmLZUSSKUWey+IiIiIiIiIiIionTHcJiKihpLJKBweAXI5IJEA+pbx1SFERERERERENBHDbSIiWnRKKd3rf4/CQz+p6PWXwJYtCpdfyl5/IiIiIiIiIiphuE1ERItq97MK27Yr7Nk7+eddD9i5C9i5S2FoENh6s17oloiIiIiIiIjam1zsHSAiovb16GMK198wdbBdac9e4PobFB59TC3kbhERERERERFRE2C4TUREi2L3swo3b1XI5Wd3u1weuHmrwu5nGXATERERERERtTOG20REVHdK6SqS2QbbRbk88MlPKSjFgJuIiIiIiIioXTHcJiKiunviSVRdRTKVF/bo7RARERERERFRe2K4TUREdXf3vbWZuL7nO5zcJiIiIiIiImpXDLeJiKiuMhmFhx6qzbYefFBvj4iIiIiIiIjaD8NtIiKqq8MjgOvVZluuB4wcqc22iIiIiIiIiKi5MNwmIqK6yuVqu71strbbIyIiIiIiIqLmwHCbiIjqKpGo7faSydpuj4iIiIiIiIiaA8NtIiKqq75lgFGj3z6GASzrrc22iIiIiIiIiKi5MNwmIqK6SqUEtmypzbbO36K3R0RERERERETth+E2ERHV3eWX1iaQvuwSBttERERERERE7YrhNhER1d3GDcDQ4Py2sXZIb4eIiIiIiIiI2hPDbSIiqjshBLbeLJCIz+32iTjw4ZsEhODkNhEREREREVG7YrhNRESLYv06ge3bZh9wJ+LA9m0C69cx2CYiIiIiIiJqZwy3iYho0Ww+R+D2HaLqipK1Q8DtOwQ2n8Ngm4iIiIiIiKjdmYu9A0RE1N7WrxP42p3AE08Cd9+r8NBDgOuVPm8YwPlb9OKRGzeAVSREREREREREBIDhNhERNQAhBDZtBDZtFMhkFEaOANkskEwCy3qBVIqBNhERERERERGVY7hNREQNJZUSSKUWey+IiIiIiIiIqNGxc5uIiIiIiIiIiIiImg7DbSIiIiIiIiIiIiJqOgy3iYiIiIiIiIiIiKjpsHObaJYyGYXDI0AuByQSQN8yLnZHRERERERERERUbwy3iaqglMITTwJ336Pw0E8A1yt9zpDAli0Kl18qsHEDIASD7mbBExVERERERERERM2L4TbRDHY/q7Btu8KevZN/3vWAnbuAnbsUhgaBrTcD69cxIG1UPFFBRERERERERNQa2LlNNI1HH1O4/oapg+1Ke/YC19+g8OhjaiF3i+Zo97MK/+0ahRver7DzwfJgGyidqLjh/fp6u5/l15GIiIiIiIiIqFEx3Caawu5nFW7eqpDLz+52uTxw81YGo42GJyqIiIiIiIiIiFoLw22iSSilq0hmG2wX5fLAJz+loBSD0UbAExVERERERERERK2H4TbRJJ54ElVP+E7lhT16O7S4eKKCiIiIiIiIiKg1MdwmmsTd99YmyLznOwxEFxtPVBARERERERERtSaG20QVMhmFhx6qzbYefFBvjxYPT1QQEREREREREbUmhttEFQ6PAK5Xm225HjBypDbbotnjiQoiIiIiIiIiotbFcJuoQi5X2+1ls7XdHlWPJyqIiIiIiIiIiFoXw22iColEbbeXTNZ2e1Q9nqggIiIiIiIiImpdDLeJKvQtA4waHRmGASzrrc22aPZ4ooKIiIiIiIiIqHUx3CaqkEoJbNlSm22dv0VvjxYHT1QQEREREREREbUuc7HueHR0FI8//jgOHjyI8fFx9PX1YdWqVdi0aROkZOZOi+vySwV27pr/4oGXXcJgezHpExUKO3fNf1s8UUFERERERERE1FjqHm7v3bsXt956Kx544AHYtj3h8319fbjiiitw7bXXIhqN1nv3iAAAGzcAQ4PAnr1z38baIb0dWlw8UUFERERERERE1JrqOiL93e9+F5dddhl+8IMfTBpsA8Dhw4dx22234Q/+4A8wPDxcz90jCgghsPVmgUR8brdPxIEP3yQgBAPRxVY8UTEfPFFBRERERERERNR46hZuP/jgg/jQhz6EbDYbfGxwcBBXXHEF/uRP/gQXXXQR4vFSkvjUU0/huuuuw/j4eL12kajM+nUC27fNPuBOxIHt2wTWr2Ow3Qh4ooKIiIiIiIiIqDUJpdT8X68/g5GREVx00UUYGxvTdyoEPvjBD+Kqq64q69c+duwYbrzxRjzyyCPBxy6++GLceuutc7rf48ePz2/Hm5AQAt3d3QB0r3kdvrwtb/ezCtu2q6oqStYO6SCUwXbjefQxhZu3KuTy1d+meKJi8zmN+fXk8U7UXnjME7UPHu9E7YXHPFH74PEO9PT01HR7dZnc/sIXvhAE2wDwp3/6p7jmmmsmLBy5ZMkSfPnLX8app54afOx73/sennnmmXrsJtGk1q8T+NqdAjs+K3DhBYBRcdQYBvD6C4EdnxW46w4G241q8zkCt+8QVVeUrB0Cbt/RuME2EREREREREVG7W/DJ7aNHj+LCCy+EZVkAgNWrV+O+++5DJBKZ8jYPP/wwrr766uDym970JuzYsWPW983J7fY8A7TQMhmFkSNANgskk8CyXiCVYgDaLJRSeOJJ4O57FR56CHC90ucMAzh/i148cuMGNHwVCY93ovbCY56offB4J2ovPOaJ2geP99pPbps13dokfvSjHwXBNgD8/u///rTBNgCcd955GBoawp49ewAAu3btQi6XQyKRWNB9JapGKiWQSi32XtBcCSGwaSOwaaPgiQoiIiIiIiIioia24LUkP/7xj8suv/nNb67qduHr5fN5/PSnP63pfhERpVICg2sEzjxDv2WwTURERERERETUPBY83H7ssceC93t7e3HKKadUdbuNGzeWXX700Udrul9ERERERERERERE1LwWNNw+fPhw2UKSZ5xxRtW3PfPMM8suP//88zXbLyIiIiIiIiIiIiJqbgsabr/wwgtll/v7+6u+bW9vb1k3d+W2iIiIiIiIiIiIiKh9LWi4fejQobLLy5cvr/q2Qoiy61dui4iIiIiIiIiIiIjal7mQG89kMmWXU6nUrG4fvr7jOLAsC9FotOrbC9F+i8OFH3M7Pn6idsLjnai98Jgnah883onaC495ovbB4732FjTczuVyZZdjsdisbl95/UwmM6twu7u7e1b312q6uroWexeIqE54vBO1Fx7zRO2DxztRe+ExT9Q+eLzXxoLWkuTz+bLLswmmJ7t+oVCY9z4RERERERERERERUfNb0Mntyslr27ZndXvLssouzzYcHx0dndX1W4EQIjjzc+LECSilFnmPiGih8Hgnai885onaB493ovbCY56offB4r33TxoKG28lksuxy5ST3TContWfb2d2O3yBhSqm2fw6I2gWPd6L2wmOeqH3weCdqLzzmidoHj/faWNBakspwO5vNzur24QUpTdOcdWc3EREREREREREREbWmBQ23ly9fXnb54MGDVd9WKYVDhw5NuS0iIiIiIiIiIiIial8LGm6vXbu27PL+/furvu2RI0fKOrqHhoZqtl9ERERERERERERE1NwWfHI7nU4Hl3/9619Xfdunn3667PKpp55as/0iIiIiIiIiIiIioua2oOE2AJx99tnB+0eOHMHLL79c1e0ef/zxssubN2+u6X4RERERERERERERUfNa8HD7DW94Q9nl73//+1Xd7v777w/ej8Vi+K3f+q2a7hcRERERERERERERNa8FD7ff+MY3IhKJBJe/9a1vlXVpT+bhhx/Gnj17gssXXHABksnkgu0jERERERERERERETWXBQ+3e3t78ba3vS24/NJLL+GLX/zilNcvFArYtm1bcFkIgfe85z0Luo9ERERERERERERE1FwWPNwGgOuuuw6pVCq4fNttt+GrX/0qPM8ru96xY8fwrne9C88991zwsbe85S0488wz67GbRERERERERERERNQkhFJK1eOOdu7cife85z1lgfbg4CBe85rXoLu7Gy+++CIeeOAB5PP54POnnXYavvnNb6Kjo2NO93n8+PF573ezEUKgu7sbADA6Ooo6fXmJaBHweCdqLzzmidoHj3ei9sJjnqh98HgHenp6aro9s6Zbm8aFF16IT33qU7jllluQy+UAAHv37sXevXsnvf4ZZ5yB22+/fc7BNhERERERERERERG1rrrUkhRdeumluPvuu/Hbv/3bZYtMhi1btgzve9/78M///M9YtWpVPXePiIiIiIiIiIiIiJpE3Sa3i9auXYvPfe5zOH78OB5//HEcPHgQmUwGvb29OOWUU7Bp0yYYhlHv3SIiIiIiIiIiIiKiJlL3cLuop6cHb3zjGxfr7omIiIiIiIiIiIioidW1loSIiIiIiIiIiIiIqBYYbhMRERERERERERFR02G4TURERERERERERERNRyil1GLvBBERERERERERERHRbHBym4iIiIiIiIiIiIiaDsNtIiIiIiIiIiIiImo6DLeJiIiIiIiIiIiIqOkw3CYiIiIiIiIiIiKipsNwm4iIiIiIiIiIiIiaDsNtIiIiIiIiIiIiImo6DLeJiIiIiIiIiIiIqOkw3CYiIiIiIiIiIiKipsNwm4iIiIiIiIiIiIiajrnYO9DuRkdH8fjjj+PgwYMYHx9HX18fVq1ahU2bNkHK+p97yGQyeOyxx3Do0CGMjo5iyZIlGBgYwNlnn41oNFr3/SFqNY1yzI+Pj+M3v/kNXnjhBYyOjsK2bXR2dmLFihXYsGEDlixZUrd9IWpVjXK8E1F9NOoxf+zYMTz55JN4+eWXkclkEI1GsWTJEqxevRpnnHEGUqnUou0bUbNqpOPd8zw899xz+PWvf43jx48jl8shmUyit7cXZ555JgYHByGEqOs+EdHCsiwLP//5zzE8PIxjx46hu7sbK1aswDnnnINkMrnYu1d3DLcXyd69e3HrrbfigQcegG3bEz7f19eHK664Atdee21dQuWRkRH83d/9Hf7t3/4N2Wx2wue7u7vxe7/3e7jxxhvR0dGx4PtD1Goa4Zj/5S9/iR/84Af42c9+hqeffhqe50153Ve96lW46qqr8Lu/+7v8xzDRLDXC8V6NO++8E5/+9KfLPnbuuefiH/7hHxZpj4iaU6Me8z/+8Y9xxx134LHHHoNSatLrSClx1lln4corr8Qll1xSt30jalaNdLyPjY3hy1/+Mv7lX/4FIyMjU15vYGAAf/AHf4CrrroKsVhsQfeJqJVkMhk8/fTT+MUvfoFf/OIX+OUvf4nh4eHg8wMDA/jxj39c130aHx/H//yf/xPf/e53MTo6OuHzyWQSb37zm/GBD3wAvb29dd23xSTUVP/SoQXz3e9+Fx/72McmDZErnXXWWbjtttswMDCwYPvzs5/9DB/4wAdw7NixGa+7evVq3HbbbXjFK16xYPtD1Goa4Zi/5ppr8LOf/WzWtzvvvPPwN3/zN+jr66vp/hC1qkY43quxb98+vPWtb52wnwy3iWanEY/548eP46abbsIDDzxQ9W3e8pa34LOf/ewC7hVR82uk4/2JJ57AjTfeiEOHDlV9m6GhIXzuc5/DqaeeuiD7RNQq7rzzTtx999147rnnph0Iq3e4/fTTT+NP//RPsW/fvhmvu3TpUtx6660477zz6rBni4/hdp09+OCDuO666+C6bvCxwcFB/Kf/9J/Q3d2Nl156CQ888ADy+Xzw+XXr1uEf//EfF2Ri+te//jXe8Y53lP2C7uvrw/nnn4/e3l4cOHAADzzwAE6ePFn2+W9/+9tYvnx5zfeHqNU0yjF/ySWX4Jlnnin7WH9/PzZs2IC+vj4kk0kcOXIEjzzyCPbu3Vt2vVNPPRXf+MY30NPTU7P9IWpFjXK8V+Od73wnfvKTn0z4OMNtouo14jF/6NAhXHXVVdizZ0/Zx8866yyceeaZ6O3thW3bOHjwIH71q18Fv/MZbhNNr5GO92eeeQZ/+Id/iPHx8eBjQgicffbZOOuss5BOp3HixAn86le/whNPPFF222XLluFb3/oWVq5cWdN9Imol733ve/GjH/1oxuvVM9w+cOAA3va2t5W9SqOrqwuvf/3rsWLFCoyMjODBBx8s+3wymcQ//dM/Yf369XXZx8XEcLuORkZGcNFFF2FsbAyA/gX0wQ9+EFdddVVZL9exY8dw44034pFHHgk+dvHFF+PWW2+t6f4UCgVcdNFFZS+r+OM//mO8//3vL3sJ1fj4OD7ykY/gvvvuCz62adMm/OM//mNN94eo1TTSMV8Mt3t7e3H55Zfj8ssvx9DQ0ITrKaVw//3346Mf/ShOnDgRfPxNb3oTduzYUbP9IWo1jXS8z+Tee+/FBz/4QQD6j9zwP4IZbhNVpxGP+UKhgN///d8vO5l9/vnn48Mf/jAGBwcnvc3evXvxne98B2NjY9i6dWvN94moFTTS8a6UwhVXXIH/+I//CD62bt063HrrrVi3bt2E6z/99NP48z//87ITXr/zO7+D22+/vWb7RNRqJgu3k8kkzjrrLDz11FPBcGi9wu3JjvuLL74YH//4x8vWzbAsC7feeiu++tWvBh875ZRTcN9997X8GnpczaiOvvCFLwS/EAHgT//0T3HNNddMWHBiyZIl+PKXv1z2cqHvfe97E6Yu5+sb3/hGWbD9X/7Lf8EHP/jBCd/0HR0dE17O8Pjjj1d1JouonTXSMb9kyRJ86EMfwgMPPIAPfOADkwbbgP7H+pvf/GbceeedSCQSwcfvv/9+/OIXv6jZ/hC1mkY63qdz7NixoGdbCIGbbrqpLvdL1Goa8Zj//Oc/X7bdq666Cl/60pemDLYBPXl64403MtgmmkYjHe+//OUvywKu7u5u3HHHHZMG2wBw5pln4q677kJnZ2fwsR/+8IezqjMhajexWAyvetWr8Id/+If49Kc/jf/zf/4Pfv7zn+PrX//6orya+Qc/+EHZcf/a174Wf/u3fzthQehoNIqbbroJl19+efCxl19+Gf/0T/9Ut31dLAy36+To0aP453/+5+Dy6tWrce211055/Vgsho985CPBZaUUPv/5z9dsf2zbxpe+9KXgcjqdDqa4JiOlxF//9V+X/QL/3Oc+V7P9IWo1jXbMf+lLX8I111xT9Rnbs846C1dddVXZx+6///6a7Q9RK2m0430627dvx/HjxwEAV1xxBV796lfX5X6JWkkjHvPPPfccvvKVrwSXX/e61+Hmm2+u6X0QtaNGO94r19B529vehmXLlk17m+XLl+Ntb3tb2T79+7//e832iajVfPazn8W3vvUtfPSjH8Vll12G008/fcLJrHr6+7//++B9KSVuueUWCCGmvP6HPvShsjqkL37xi3AcZ0H3cbEx3K6TH/3oR7AsK7j8+7//+4hEItPe5rzzziubrty1axdyuVxN9ueRRx4pW0Dy4osvRldX17S3WbNmDV772tcGl5966im8/PLLNdkfolbTaMe8aZqzvs3v/u7vll3m5DbR5BrteJ/Kgw8+iH/9138FoOtIPvCBDyzo/RG1qkY85u+8807Ytg1A/+HLYJuoNhrteK+cuN6wYUNVt9u4cWPZ5cOHD9dkf4hoYb344ov49a9/HVx+3etehzVr1kx7m66urrK/5UdGRvDYY48t2D42AobbdVLZw/PmN7+5qtuFr5fP5/HTn/50QfbnTW9606z3BwCrSYim0GjH/FxU/tI8evToIu0JUWNrhuM9m83illtuCS7fdNNNZS9RJqLqNdoxn8lkytbGOeecc8pqEYho7hrtePc8r+xyPB6v6naV15tu6pOIGkdl5lZtdnfRRRdNu51Ww3C7TsJnSXp7e3HKKadUdbvKM6yPPvpozffHMAy86lWvmtP+tPrZH6K5arRjfi4ymUzZ5blMfxO1g2Y43v/H//gfwTobr3vd6ya8MoOIqtdox/wDDzwQLG4FVP+HLxHNrNGO91WrVpVd3r9/f1W3C6+1Beh6FSJqfJWZW+XPlqm88pWvhGEYU26n1TDcroPDhw+XLUBxxhlnVH3bM888s+zy888/P+/98TwPe/fuDS6vWbNmQhH9VE499dSys7612B+iVtNox/xc7d69u+zyihUrFmlPiBpXMxzvv/jFL/AP//APAHQX6Mc+9rEFuR+idtCIx/yTTz5Zdvmss86qyXaJ2l0jHu9btmwpuxx+1cZ0vve97wXvJxIJvOY1r6nJ/hDRwgr/7IjH41i7dm1Vt+vo6Cg7ibVnzx4opWq+f42C4XYdvPDCC2WX+/v7q75tb29vWadX5bbmYnh4GPl8fk77I4QoC7hefvnlli+mJ5qtRjvm5+q73/1u2WX+I5hookY/3h3HwdatW4OXMb/nPe/htBbRPDTiMf+rX/2q7PLpp58OADhx4gS+8Y1v4Morr8SFF16IDRs24IILLsDb3/527NixY1H/jUHUDBrxeH/FK16BCy+8MLj88MMP4+tf//q0t7njjjvwyCOPBJevuuoqpNPpmuwPES0c27axb9++4PKKFStmVSkU/pmVy+WqfqVHM2K4XQeViz4sX7686tsKIcquX7mteu9P5fVt22YPL1GFRjvm52Lv3r3BwnOAri/6z//5Py/KvhA1skY/3r/85S8Hr8I49dRT8c53vrPm90HUThrxmA9PdcViMXR0dOBHP/oRLrroInz84x/HI488ggMHDiCXy+HgwYN4/PHH8bnPfQ4XX3wxPvKRj5QNvRBRSSMe7wDwiU98oqwe5ROf+AT+7M/+DP/v//0/jI+PQymFsbEx/OxnP8P73vc+fOYznwmue8EFF+D666+v2b4Q0cI5evRo2TDpbF9JXfkz6+DBgzXZr0bEAtU6qOytrbYCZLLrO44Dy7IQjUYbYn8m2x5Ru2u0Y362PM/D1q1bYdt28LFLL710QscfETX28b537158/vOfB6D/yP74xz9e158lRK2o0Y55z/PKahNSqRS++93v4q/+6q9mfPmx67r453/+ZzzzzDP4yle+wkVmiSo02vFe1NfXh29+85u45ZZb8IMf/AAA8P3vfx/f//73p7xNR0cH3vnOd+JP/uRPynp4iahx1Tq7C6/P0Wo4uV0HuVyu7HIsFpvV7SuvP98wudb708oHCNFcNNoxP1u33XZb2aI3S5YswV/8xV/UdR+ImkWjHu9KKXzkIx9BoVAAAFx++eU455xzarJtonbWaMd8cUqzKJvN4uabb4ZSClJKXHHFFfjWt76Fn//853jiiSdw991348orryxbJPoXv/gFbrrppnntB1ErarTjPWzp0qW47bbb8MUvfnHGac7Vq1fjs5/9LN773vcy2CZqIpVZG7O7qXFyuw4qX+o327O1ldcv/qHaKPvDlzISlWu0Y3427r//fvz93/99cFkIgU9+8pNYsmRJ3faBqJk06vH+7W9/O+jX7OnpwV/+5V/WZLtE7a7RjvnKP1SL+xeJRLBjxw684Q1vKPv8WWedhbPOOgtvfOMbcd111wXX/+EPf4gf/vCH+O3f/u157Q9RK2m04z3s0KFD2L59O+6///4ZX6Xx0ksv4d3vfjc2btyIbdu24bTTTqvZfhDRwqn8mcHsbmqc3K6DyrMl4Zf6V8OyrLLL830pU633Z7Znj4haXaMd89V67LHH8Jd/+Zdl/0C+/vrrJ/xhTEQljXi8j4yM4G/+5m+Cyx/84AfR09Mz7+0SUeMd81Pd/rrrrpv29/d5552HP//zPy/72Je//OV57QtRq2m0473omWeewSWXXIJ/+7d/g1IKQgi89a1vxZ133omHH34Yv/rVr/Dwww/jK1/5Ci6++OJgAbonnngC//W//teyV2gSUeOq/JnB7G5qDLfrIJlMll2e7dmSyrM1s+3ZWej9qdweUbtrtGO+Gs888wze8573lN3329/+di44QzSDRjzeP/GJT+DkyZMAgHPPPReXXXbZvLdJRFqjHfOT/Ts8mUzi6quvnvG2b3/728temfXkk0/i+PHj89ofolbSaMc7AJw4cQLvfve7g2M1Eong7//+7/G3f/u3eO1rX4slS5YgEolgyZIleN3rXodbb70Vn//85xGJRADoqpXrr78eIyMj894XIlpYlT8zmN1NjeF2HVR+A8225ybczWWa5rzPtsy3VH6+pfZEra7RjvmZvPTSS3jXu94VhGEA8Ja3vAUf/ehHF/R+iVpBox3vP/zhD3H//fcD0H/w/vVf//W8tkdE5RrtmI/H4xM6dDdv3oyOjo4ZbxuNRvG6170uuKyUwpNPPjmv/SFqJY12vAPAF77wBRw+fDi4/Gd/9md4/etfP+1t3vCGN+DGG28MLo+OjpbVEBJRY6rlz6DJttdKGG7XwfLly8suHzx4sOrbKqVw6NChKbdV7/0BULY/pmli6dKl894nolbSaMf8dA4dOoSrr766bHpjy5Yt+Ju/+RtIyV8RRDNptOP9M5/5TPD+tddei7Vr1857m0RU0mjHPIAJi8mdfvrpVd923bp1ZZfD+0fU7hrteFdK4d577w0uJ5NJ/NEf/VFVt73yyivLgq1//dd/hed5894nIlo4S5cuLVsA+sCBA7O6feXv9JkWn21mXFCyDir/sNy/f3/Vtz1y5EhZr87Q0NC892dgYACxWCx4icJs9kcpVfZL/ZRTTgle4kREWqMd81M5duwYrrnmGgwPDwcfO+ecc3D77bfzuCaqUqMd7+FKgS984Qv4whe+MKvbP/LIIzjzzDODy5s3b8Zdd9017/0iahWNdswDwKmnnlr2u7yrq6vq21Ze98SJEzXZJ6JW0GjH+0svvYRjx44Fl1/1qlchHo9Xddt4PI5XvvKV+Pd//3cAwMmTJ/Hiiy8u6N8aRDQ/0WgUq1atwt69ewHoE2zFnv1qhH9mxeNxDAwMLMRuNgSO5dXB8uXLkU6ng8u//vWvq77t008/XXb51FNPnff+SCkxODgYXH7xxRerfnnD888/X9bzU4v9IWo1jXbMT2Z8fBzvete78PzzzwcfO+uss/C//tf/qvofyUTU2Me767pV/Tfd7TjVRVSuEY/50047rexy5QJS02mnxaaIZqvRjvejR4+WXe7t7Z3V7ZctW1Z2mR37RI0vfJItn8/jhRdeqOp24+PjeOmll4LLQ0NDVYfizYjhdp2cffbZwftHjhzByy+/XNXtHn/88bLLmzdvrsn+nHPOOcH7ruviP/7jP6q63RNPPLEg+0PUahrtmA/L5/P4kz/5Ezz11FPBx04//XR85Stfqaqjk4jKNfLxTkS112jH/Lnnnlt2eTbVIpU1Cz09PTXZJ6JW0UjHe+XJp8rF4maSy+XKLrdy/y5Rqwhnd8DETG4qv/jFL8qGWCq302oYbtfJG97whrLL3//+96u6XXFRKED/Mvut3/qtBdmff/u3f6vqdpXXe+Mb31iT/SFqNY12zBfZto0bbrgBjz32WPCxNWvW4I477uAftERz1EjH+2OPPYbdu3dX/d+PfvSjstufe+65ZZ//h3/4h3nvE1GraaRjHgBe+9rXloVUlaHadCr/SA7XEhFRYx3vlWtdhV+BWY3K6y9ZsmTe+0REC4vZXXUYbtfJG9/4xrIO229961tlHVyTefjhh7Fnz57g8gUXXFCzs6vnnntuWZD1ve99DydPnpz2Ni+++CJ+9rOfBZfPOussnHLKKTXZH6JW02jHPAB4nocPfvCD2LVrV/CxlStX4s4770RfX1/N7oeo3TTi8U5EC6fRjvlYLIbf/u3fDi4/99xzePLJJ2e83fPPP4+f//znweW+vr5ZLUZJ1A4a6XhfsWJF2b/ZX3jhBTzzzDNV3faXv/xl0NsL6HW4+O9/osY3NDSE9evXB5d/+tOf4sUXX5z2NidOnMB9990XXO7t7W35V4gy3K6T3t5evO1tbwsuv/TSS/jiF7845fULhQK2bdsWXBZC4D3vec+U19+3bx/Wr18f/Fd5dqdSNBrFu971ruDy2NgYPv3pT095fc/z8LGPfayse/O9733vtPdB1M4a7ZgHgFtuuQXf+973yvbxq1/9aksvLEFUD414vBPRwmnEY/69730vTNMMLn/84x+ftrLAcRzccsstUEoFH7vyyitnvB+idtNox/vrX//6ssu33HLLjD37hUIBf/3Xf132Mf5bgmjxhI/5cHA9lfDPEM/zJvz+rvTpT38aY2NjweV3v/vdZf9GaEUMt+vouuuuQyqVCi7fdttt+OpXvzphsaZjx47hXe96F5577rngY295y1tq/jLBP/qjP8LKlSuDy//yL/+Cz3zmMxN+OY6Pj+MDH/gAHn744eBjGzduLJsQIaKJGumY/7u/+zt885vfDC53d3fjzjvvLFtclojmrpGOdyJaeI12zA8NDeGKK64ILj/11FN497vfPaFTG9C9we973/vwyCOPBB8bGBjAO97xjpruE1GraKTj/dprry2bJH/iiSfwzne+s2zhuLAXXngBV111FX75y18GH4vFYmWDbkTU2N785jfjla98ZXD5Zz/7Gf7iL/4CmUym7HqWZeFTn/oU7r777uBjAwMDePvb3163fV0sQk0X91PN7dy5E+95z3vKfhEODg7iNa95Dbq7u/Hiiy/igQceQD6fDz5/2mmn4Zvf/Oa0C73t27evrENnYGAAP/7xj2fcn6eeegp/+Id/WLa4RF9fHy644AIsXboUBw8exI9//OOyypJly5bh29/+NlasWFH14yZqV41yzFeeERZCQMrZn9+sXPmdiEoa5Xifjcptn3vuuezZJqpSox3zlmXh6quvLqsaicVieO1rX4vTTjsNQgjs2bMHP/3pT5HNZoPrJBIJfOMb38BZZ51V9WMnajeNdLx/85vfxEc/+tGyjxmGgbPPPhtnnnkmOjo6MDY2hqeeegqPP/74hBD+M5/5DC699NJqHjZRWxoeHsbv/M7vTPq58CKNgD72JvPV/7+9O3aJwo3jOP6ZBI/gVJIIbSsrsiXcIojwDziCiBDnBsEhWoNadHIyCgShLSgo9GiWhpaQ5gwEF7EyywYbgqOGSLIs69fv6h57vcbzOXmWL+e9757HW7e++YfPn3393nxhYeGn9nTu3Lmsra1tPlatVnPmzJns27cvr169ysOHD7O6urr580qlktu3b+fIkSM7/v7S7e7vpbeg06dPZ3x8PFevXt0MyktLS1vuv/rS0aNHc/369R++IP6OY8eOZXJyMpcvX876+nqS5OXLl7l79+6263t7ezM5OSlsw09qtZn/7MOHD9+8MAO/p1XnHWiOVpv5tra23LhxI5cuXcqjR4+SfLqOYG5uLnNzc9s+p7u7Ozdv3hS2YQetNO+fT2mMjY1txvRGo5HHjx9vOZHxtUqlkitXrgjbsINfea/8vXX/9/eIe3p6MjU1ldHR0SwvLyf5dLf2/fv3t13f2dmZiYmJfyJsJ64l+StqtVru3buXwcHBLUeKvtTd3Z2RkZHcuXMnvb29Td3PqVOnUq/XU6vV0t7evu2aarWa4eHhzMzMODoNv6jVZh5oHvMO/5ZWm/mOjo5MT0/n2rVrOXjw4A/XXbx4MQ8ePNhy1Bn4vlaa9/Pnz2d2djYXLlzYcmXKdvbs2ZOhoaHMzs7m7NmzTdsT0Fz9/f2ZmZnJ8PBwqtXqtmva29tTq9VSr9dz8uTJP7zDv8e1JH/Zmzdv8uTJkzx//jwbGxvZu3dvDhw4kBMnTnz3eEMzbWxsZH5+PisrK3n79m26urrS09OTgYGBtLW1/fH9wG7TajMPNI95h39LK87806dPs7i4mBcvXqTRaKSzszOHDh3K8ePH/9P1ZMAnrTTvjUYjCwsLefbsWdbX1/Pu3btUKpV0dHTk8OHD6evr83cH7DLv37/P/Px8lpeX8/r161Sr1ezfvz8DAwM7fuC1G4nbAAAAAAAUx8f1AAAAAAAUR9wGAAAAAKA44jYAAAAAAMURtwEAAAAAKI64DQAAAABAccRtAAAAAACKI24DAAAAAFAccRsAAAAAgOKI2wAAAAAAFEfcBgAAAACgOOI2AAAAAADFEbcBAAAAACiOuA0AAAAAQHHEbQAAAAAAiiNuAwAAAABQHHEbAAAAAIDiiNsAAAAAABRH3AYAAAAAoDjiNgAAAAAAxRG3AQAAAAAojrgNAAAAAEBxxG0AAAAAAIojbgMAAAAAUBxxGwAAAACA4ojbAAAAAAAUR9wGAAAAAKA4HwF9ZIoEfhF+SgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "image/png": { "height": 491, "width": 731 } }, "output_type": "display_data" } ], "source": [ "robust_post = az.extract(robust_trace, num_samples=20)\n", "x_plot = xr.DataArray(np.linspace(x_out.min(), x_out.max(), 100), dims=\"plot_id\")\n", "robust_lines = robust_post[\"intercept\"] + robust_post[\"slope\"] * x_plot\n", "\n", "plt.scatter(x_out, y_out, label=\"data\")\n", "plt.plot(x_plot, robust_lines.transpose(), alpha=0.4, color=\"C1\")\n", "plt.plot(x, true_regression_line, label=\"True regression line\", lw=3.0, c=\"C2\")\n", "plt.legend(loc=0)\n", "plt.title(\"Posterior predictive for Student-T likelihood\")" ] }, { "cell_type": "markdown", "id": "e59556cb", "metadata": {}, "source": [ "There, much better! The outliers are barely influencing our estimation at all because our likelihood function assumes that outliers are much more probable than under the Normal distribution." ] }, { "cell_type": "markdown", "id": "cf8b17e2", "metadata": {}, "source": [ "## Summary\n", "\n", " - By changing the likelihood from a Normal distribution to a Student T distribution -- which has more mass in the tails -- we can perform *Robust Regression*.\n", "\n", "*Extensions*: \n", "\n", " - The Student-T distribution has, besides the mean and variance, a third parameter called *degrees of freedom* that describes how much mass should be put into the tails. Here it is set to 1 which gives maximum mass to the tails (setting this to infinity results in a Normal distribution!). One could easily place a prior on this rather than fixing it which I leave as an exercise for the reader ;).\n", " - T distributions can be used as priors as well. See {ref}`GLM-hierarchical`\n", " - How do we test if our data is normal or violates that assumption in an important way? Check out this [great blog post](http://allendowney.blogspot.com/2013/08/are-my-data-normal.html) by Allen Downey." ] }, { "cell_type": "markdown", "id": "cc0e4b72", "metadata": {}, "source": [ "## Authors \n", "\n", "* Adapted from [Thomas Wiecki's](https://twitter.com/twiecki) blog\n", "* Updated by @fonnesbeck in September 2016 (pymc#1378)\n", "* Updated by @chiral-carbon in August 2021 (pymc-examples#205)\n", "* Updated by Conor Hassan, Igor Kuvychko, Reshama Shaikh and [Oriol Abril Pla](https://oriolabrilpla.cat/en/) in 2022" ] }, { "cell_type": "markdown", "id": "e7a301f6", "metadata": {}, "source": [ "## References\n", "\n", ":::{bibliography}\n", ":filter: docname in docnames\n", ":::\n", " \n", "## Watermark" ] }, { "cell_type": "code", "execution_count": 10, "id": "0cd36254", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Tue Dec 06 2022\n", "\n", "Python implementation: CPython\n", "Python version : 3.9.10\n", "IPython version : 8.7.0\n", "\n", "xarray: 2022.12.0\n", "\n", "matplotlib: 3.6.2\n", "aesara : 2.8.7\n", "numpy : 1.21.6\n", "xarray : 2022.12.0\n", "pymc : 4.4.0\n", "arviz : 0.14.0\n", "pandas : 1.5.2\n", "\n", "Watermark: 2.3.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p xarray" ] }, { "cell_type": "markdown", "id": "466f6d1e", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] }, { "cell_type": "code", "execution_count": null, "id": "0cbd5427", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.10" } }, "nbformat": 4, "nbformat_minor": 5 }