{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GLM: Robust Regression with Outlier Detection\n",
    "\n",
    "**A minimal reproducable example of Robust Regression with Outlier Detection using Hogg 2010 Signal vs Noise method.**\n",
    "\n",
    "+ This is a complementary approach to the Student-T robust regression as illustrated in [Thomas Wiecki's notebook]((GLM-robust.ipynb), that approach is also compared here.\n",
    "+ This model returns a robust estimate of linear coefficients and an indication of which datapoints (if any) are outliers.\n",
    "+ The likelihood evaluation is essentially a copy of eqn 17 in \"Data analysis recipes: Fitting a model to data\" - [Hogg 2010](http://arxiv.org/abs/1008.4686).\n",
    "+ The model is adapted specifically from Jake Vanderplas' [implementation](http://www.astroml.org/book_figures/chapter8/fig_outlier_rejection.html) (3rd model tested).\n",
    "+ The dataset is tiny and hardcoded into this Notebook. It contains errors in both the x and y, but we will deal here with only errors in y.\n",
    "\n",
    "\n",
    "**Note:**\n",
    "\n",
    "+ Python 3.4 project using latest available [PyMC3](https://github.com/pymc-devs/pymc3)\n",
    "+ Developed using [ContinuumIO Anaconda](https://www.continuum.io/downloads) distribution on a Macbook Pro 3GHz i7, 16GB RAM, OSX 10.10.5.\n",
    "+ During development I've found that 3 data points are always indicated as outliers, but the remaining ordering of datapoints by decreasing outlier-hood is slightly unstable between runs: the posterior surface appears to have a small number of solutions with similar probability. \n",
    "+ Finally, if runs become unstable or Theano throws weird errors, try clearing the cache `$> theano-cache clear` and rerunning the notebook.\n",
    "\n",
    "\n",
    "**Package Requirements (shown as a conda-env YAML):**\n",
    "```\n",
    "$> less conda_env_pymc3_examples.yml\n",
    "\n",
    "name: pymc3_examples\n",
    "    channels:\n",
    "      - defaults\n",
    "    dependencies:\n",
    "      - python=3.4\n",
    "      - ipython\n",
    "      - ipython-notebook\n",
    "      - ipython-qtconsole\n",
    "      - numpy\n",
    "      - scipy\n",
    "      - matplotlib\n",
    "      - pandas\n",
    "      - seaborn\n",
    "      - patsy  \n",
    "      - pip\n",
    "\n",
    "$> conda env create --file conda_env_pymc3_examples.yml\n",
    "\n",
    "$> source activate pymc3_examples\n",
    "\n",
    "$> pip install --process-dependency-links git+https://github.com/pymc-devs/pymc3\n",
    "\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from scipy import optimize\n",
    "import pymc3 as pm\n",
    "import theano as thno\n",
    "import theano.tensor as T \n",
    "\n",
    "# configure some basic options\n",
    "sns.set(style=\"darkgrid\", palette=\"muted\")\n",
    "pd.set_option('display.notebook_repr_html', True)\n",
    "plt.rcParams['figure.figsize'] = 12, 8\n",
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load and Prepare Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use the Hogg 2010 data available at  https://github.com/astroML/astroML/blob/master/astroML/datasets/hogg2010test.py\n",
    "\n",
    "It's a very small dataset so for convenience, it's hardcoded below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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AegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQA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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcaf3019438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#### cut & pasted directly from the fetch_hogg2010test() function\n",
    "## identical to the original dataset as hardcoded in the Hogg 2010 paper\n",
    "\n",
    "dfhogg = pd.DataFrame(np.array([[1, 201, 592, 61, 9, -0.84],\n",
    "                                 [2, 244, 401, 25, 4, 0.31],\n",
    "                                 [3, 47, 583, 38, 11, 0.64],\n",
    "                                 [4, 287, 402, 15, 7, -0.27],\n",
    "                                 [5, 203, 495, 21, 5, -0.33],\n",
    "                                 [6, 58, 173, 15, 9, 0.67],\n",
    "                                 [7, 210, 479, 27, 4, -0.02],\n",
    "                                 [8, 202, 504, 14, 4, -0.05],\n",
    "                                 [9, 198, 510, 30, 11, -0.84],\n",
    "                                 [10, 158, 416, 16, 7, -0.69],\n",
    "                                 [11, 165, 393, 14, 5, 0.30],\n",
    "                                 [12, 201, 442, 25, 5, -0.46],\n",
    "                                 [13, 157, 317, 52, 5, -0.03],\n",
    "                                 [14, 131, 311, 16, 6, 0.50],\n",
    "                                 [15, 166, 400, 34, 6, 0.73],\n",
    "                                 [16, 160, 337, 31, 5, -0.52],\n",
    "                                 [17, 186, 423, 42, 9, 0.90],\n",
    "                                 [18, 125, 334, 26, 8, 0.40],\n",
    "                                 [19, 218, 533, 16, 6, -0.78],\n",
    "                                 [20, 146, 344, 22, 5, -0.56]]),\n",
    "                   columns=['id','x','y','sigma_y','sigma_x','rho_xy'])\n",
    "\n",
    "\n",
    "## for convenience zero-base the 'id' and use as index\n",
    "dfhogg['id'] = dfhogg['id'] - 1\n",
    "dfhogg.set_index('id', inplace=True)\n",
    "\n",
    "## standardize (mean center and divide by 1 sd)\n",
    "dfhoggs = (dfhogg[['x','y']] - dfhogg[['x','y']].mean(0)) / dfhogg[['x','y']].std(0)\n",
    "dfhoggs['sigma_y'] = dfhogg['sigma_y'] / dfhogg['y'].std(0)\n",
    "dfhoggs['sigma_x'] = dfhogg['sigma_x'] / dfhogg['x'].std(0)\n",
    "\n",
    "## create xlims ylims for plotting\n",
    "xlims = (dfhoggs['x'].min() - np.ptp(dfhoggs['x'])/5\n",
    "                 ,dfhoggs['x'].max() + np.ptp(dfhoggs['x'])/5)\n",
    "ylims = (dfhoggs['y'].min() - np.ptp(dfhoggs['y'])/5\n",
    "                 ,dfhoggs['y'].max() + np.ptp(dfhoggs['y'])/5)\n",
    "\n",
    "## scatterplot the standardized data\n",
    "g = sns.FacetGrid(dfhoggs, size=8)\n",
    "_ = g.map(plt.errorbar, 'x', 'y', 'sigma_y', 'sigma_x', marker=\"o\", ls='')\n",
    "_ = g.axes[0][0].set_ylim(ylims)\n",
    "_ = g.axes[0][0].set_xlim(xlims)\n",
    "\n",
    "plt.subplots_adjust(top=0.92)\n",
    "_ = g.fig.suptitle('Scatterplot of Hogg 2010 dataset after standardization', fontsize=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observe**:  \n",
    "\n",
    "+ Even judging just by eye, you can see these datapoints mostly fall on / around a straight line with positive gradient\n",
    "+ It looks like a few of the datapoints may be outliers from such a line"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Conventional OLS Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The *linear model* is really simple and conventional:\n",
    "\n",
    "$$\\bf{y} = \\beta^{T} \\bf{X} + \\bf{\\sigma}$$\n",
    "\n",
    "where:  \n",
    "\n",
    "$\\beta$ = coefs = $\\{1, \\beta_{j \\in X_{j}}\\}$  \n",
    "$\\sigma$ = the measured error in $y$ in the dataset `sigma_y`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define model\n",
    "\n",
    "**NOTE:**\n",
    "+ We're using a simple linear OLS model with Normally distributed priors so that it behaves like a ridge regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as mdl_ols:\n",
    "    \n",
    "    ## Define weakly informative Normal priors to give Ridge regression\n",
    "    b0 = pm.Normal('b0_intercept', mu=0, sd=100)\n",
    "    b1 = pm.Normal('b1_slope', mu=0, sd=100)\n",
    " \n",
    "    ## Define linear model\n",
    "    yest = b0 + b1 * dfhoggs['x']\n",
    "    \n",
    "    ## Use y error from dataset, convert into theano variable\n",
    "    sigma_y = thno.shared(np.asarray(dfhoggs['sigma_y'],\n",
    "                            dtype=thno.config.floatX), name='sigma_y')\n",
    "\n",
    "    ## Define Normal likelihood\n",
    "    likelihood = pm.Normal('likelihood', mu=yest, sd=sigma_y, observed=dfhoggs['y'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 168.87:   4%|▍         | 7828/200000 [00:00<00:09, 19595.48it/s]\n",
      "Convergence archived at 9500\n",
      "Interrupted at 9,500 [4%]: Average Loss = 237.62\n",
      "100%|██████████| 3000/3000 [00:00<00:00, 3118.55it/s]\n"
     ]
    }
   ],
   "source": [
    "with mdl_ols:\n",
    "    ## take samples\n",
    "    traces_ols = pm.sample(2000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### View Traces\n",
    "\n",
    "**NOTE**: I'll 'burn' the traces to only retain the final 1000 samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pefjrNmIvsa6S8lDt2rUL77//vu/zc889h+uvvz5poSj9D1Ek+J9tDdhxsB2FWQrct2gA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcaef7a31d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(traces_ols[-1000:], figsize=(12,len(traces_ols.varnames)*1.5),\n",
    "                lines={k: v['mean'] for k, v in pm.df_summary(traces_ols[-1000:]).iterrows()})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**NOTE:** We'll illustrate this OLS fit and compare to the datapoints in the final plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Robust Model: Student-T Method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I've added this brief section in order to directly compare the Student-T based method exampled in [Thomas Wiecki's notebook](GLM-robust.ipynb).\n",
    "\n",
    "Instead of using a Normal distribution for the likelihood, we use a Student-T, which has fatter tails. In theory this allows outliers to have a smaller mean square error in the likelihood, and thus have less influence on the regression estimation. This method does not produce inlier / outlier flags but is simpler and faster to run than the Signal Vs Noise model below, so a comparison seems worthwhile.\n",
    "\n",
    "**Note:** we'll constrain the Student-T 'degrees of freedom' parameter `nu` to be an integer, but otherwise leave it as just another stochastic to be inferred: no need for prior knowledge."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as mdl_studentt:\n",
    "    \n",
    "    ## Define weakly informative Normal priors to give Ridge regression\n",
    "    b0 = pm.Normal('b0_intercept', mu=0, sd=100)\n",
    "    b1 = pm.Normal('b1_slope', mu=0, sd=100)\n",
    " \n",
    "    ## Define linear model\n",
    "    yest = b0 + b1 * dfhoggs['x']\n",
    "    \n",
    "    ## Use y error from dataset, convert into theano variable\n",
    "    sigma_y = thno.shared(np.asarray(dfhoggs['sigma_y'],\n",
    "                            dtype=thno.config.floatX), name='sigma_y')\n",
    "    \n",
    "    ## define prior for Student T degrees of freedom\n",
    "    nu = pm.Uniform('nu', lower=1, upper=100)\n",
    "\n",
    "    ## Define Student T likelihood\n",
    "    likelihood = pm.StudentT('likelihood', mu=yest, sd=sigma_y, nu=nu,\n",
    "                             observed=dfhoggs['y'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 41.822:   8%|▊         | 15829/200000 [00:01<00:14, 13016.12it/s]\n",
      "Convergence archived at 16100\n",
      "Interrupted at 16,100 [8%]: Average Loss = 83.741\n",
      "100%|██████████| 3000/3000 [00:02<00:00, 1441.38it/s]\n"
     ]
    }
   ],
   "source": [
    "with mdl_studentt:  \n",
    "    ## take samples\n",
    "    traces_studentt = pm.sample(2000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### View Traces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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H1k6331j35URFMiKjeQwrg0IphYa7hwNYCXW+eJ6P2jNOLmQxqKZPn46SkhLc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tKDXC7HmDFjAp+HDRsWtXpfb8Pn4cgsUjkHmc5L8nuo5HIOcAWXHmch4mbKmAKAXL0MDW3Jnz8V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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcaf3026518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(traces_studentt[-1000:],\n",
    "                 figsize=(12,len(traces_studentt.varnames)*1.5),\n",
    "                 lines={k: v['mean'] for k, v in pm.df_summary(traces_studentt[-1000:]).iterrows()})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observe:**\n",
    "\n",
    "+ Both parameters `b0` and `b1` show quite a skew to the right, possibly this is the action of a few samples regressing closer to the OLS estimate which is towards the left\n",
    "+ The `nu` parameter seems very happy to stick at `nu = 1`, indicating that a fat-tailed Student-T likelihood has a better fit than a thin-tailed (Normal-like) Student-T likelihood.\n",
    "+ The inference sampling also ran very quickly, almost as quickly as the conventional OLS\n",
    "\n",
    "\n",
    "**NOTE:** We'll illustrate this Student-T fit and compare to the datapoints in the final plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Robust Model with Outliers: Hogg Method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please read the paper (Hogg 2010) and Jake Vanderplas' code for more complete information about the modelling technique.\n",
    "\n",
    "The general idea is to create a 'mixture' model whereby datapoints can be described by either the linear model (inliers) or a modified linear model with different mean and larger variance (outliers).\n",
    "\n",
    "\n",
    "The likelihood is evaluated over a mixture of two likelihoods, one for 'inliers', one for 'outliers'. A Bernouilli distribution is used to randomly assign datapoints in N to either the inlier or outlier groups, and we sample the model as usual to infer robust model parameters and inlier / outlier flags:\n",
    "\n",
    "$$\n",
    "\\mathcal{logL} = \\sum_{i}^{i=N} log \\left[ \\frac{(1 - B_{i})}{\\sqrt{2 \\pi \\sigma_{in}^{2}}} exp \\left( - \\frac{(x_{i} - \\mu_{in})^{2}}{2\\sigma_{in}^{2}} \\right) \\right] + \\sum_{i}^{i=N} log \\left[ \\frac{B_{i}}{\\sqrt{2 \\pi (\\sigma_{in}^{2} + \\sigma_{out}^{2})}} exp \\left( - \\frac{(x_{i}- \\mu_{out})^{2}}{2(\\sigma_{in}^{2} + \\sigma_{out}^{2})} \\right) \\right]\n",
    "$$\n",
    "\n",
    "where:  \n",
    "$\\bf{B}$ is Bernoulli-distibuted $B_{i} \\in [0_{(inlier)},1_{(outlier)}]$\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def logp_signoise(yobs, is_outlier, yest_in, sigma_y_in, yest_out, sigma_y_out):\n",
    "    '''\n",
    "    Define custom loglikelihood for inliers vs outliers. \n",
    "    NOTE: in this particular case we don't need to use theano's @as_op \n",
    "    decorator because (as stated by Twiecki in conversation) that's only \n",
    "    required if the likelihood cannot be expressed as a theano expression.\n",
    "    We also now get the gradient computation for free.\n",
    "    '''   \n",
    "    \n",
    "    # likelihood for inliers\n",
    "    pdfs_in = T.exp(-(yobs - yest_in + 1e-4)**2 / (2 * sigma_y_in**2)) \n",
    "    pdfs_in /= T.sqrt(2 * np.pi * sigma_y_in**2)\n",
    "    logL_in = T.sum(T.log(pdfs_in) * (1 - is_outlier))\n",
    "\n",
    "    # likelihood for outliers\n",
    "    pdfs_out = T.exp(-(yobs - yest_out + 1e-4)**2 / (2 * (sigma_y_in**2 + sigma_y_out**2))) \n",
    "    pdfs_out /= T.sqrt(2 * np.pi * (sigma_y_in**2 + sigma_y_out**2))\n",
    "    logL_out = T.sum(T.log(pdfs_out) * is_outlier)\n",
    "\n",
    "    return logL_in + logL_out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as mdl_signoise:\n",
    "    \n",
    "    ## Define weakly informative Normal priors to give Ridge regression\n",
    "    b0 = pm.Normal('b0_intercept', mu=0, sd=10, testval=pm.floatX(0.1))\n",
    "    b1 = pm.Normal('b1_slope', mu=0, sd=10, testval=pm.floatX(1.))\n",
    " \n",
    "    ## Define linear model\n",
    "    yest_in = b0 + b1 * dfhoggs['x']\n",
    "\n",
    "    ## Define weakly informative priors for the mean and variance of outliers\n",
    "    yest_out = pm.Normal('yest_out', mu=0, sd=100, testval=pm.floatX(1.))\n",
    "    sigma_y_out = pm.HalfNormal('sigma_y_out', sd=100, testval=pm.floatX(1.))\n",
    "\n",
    "    ## Define Bernoulli inlier / outlier flags according to a hyperprior \n",
    "    ## fraction of outliers, itself constrained to [0,.5] for symmetry\n",
    "    frac_outliers = pm.Uniform('frac_outliers', lower=0., upper=.5)\n",
    "    is_outlier = pm.Bernoulli('is_outlier', p=frac_outliers, shape=dfhoggs.shape[0], \n",
    "                              testval=np.random.rand(dfhoggs.shape[0]) < 0.2)\n",
    "    \n",
    "    ## Extract observed y and sigma_y from dataset, encode as theano objects\n",
    "    yobs = thno.shared(np.asarray(dfhoggs['y'], dtype=thno.config.floatX), name='yobs')\n",
    "    sigma_y_in = thno.shared(np.asarray(dfhoggs['sigma_y'], dtype=thno.config.floatX), \n",
    "                             name='sigma_y_in')\n",
    "        \n",
    "    ## Use custom likelihood using DensityDist\n",
    "    likelihood = pm.DensityDist('likelihood', logp_signoise,\n",
    "                        observed={'yobs': yobs, 'is_outlier': is_outlier,\n",
    "                                  'yest_in': yest_in, 'sigma_y_in': sigma_y_in,\n",
    "                                  'yest_out': yest_out, 'sigma_y_out': sigma_y_out})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 30000/30000 [00:59<00:00, 505.40it/s]\n"
     ]
    }
   ],
   "source": [
    "with mdl_signoise:\n",
    "    ## two-step sampling to create Bernoulli inlier/outlier flags\n",
    "    step1 = pm.Metropolis([frac_outliers, yest_out, sigma_y_out, b0, b1])\n",
    "    step2 = pm.step_methods.BinaryGibbsMetropolis([is_outlier])\n",
    "\n",
    "    ## take samples\n",
    "    traces_signoise = pm.sample(20000, step=[step1, step2], tune=10000, progressbar=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### View Traces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.0024796 ,  0.03499796,  0.03499796, ...,  0.01924202,\n",
       "        0.01924202,  0.17804247])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "traces_signoise[-10000:]['b0_intercept']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PPfcIFA0h6Wtod+DTPd0o1Ylx4Tl5QofTb42olGPqKBW++M6Mj3cb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\nIbxbs2YN3yG0q4oGK4wWB06VmXB5PyXf4XQYlE8REns2e+f4pPGeUE2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1GL46miUB1phc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\nS5SOMtmxak6szli0ShvW1DhcZtDsBkXVVRjOSpKiE9BsDnSrTpWrCjcQo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EIIIUSLuuuu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\ntm3D3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcae80adfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(traces_signoise[-10000:], figsize=(12,len(traces_signoise.varnames)*1.5),\n",
    "            lines={k: v['mean'] for k, v in pm.df_summary(traces_signoise[-1000:]).iterrows()})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**NOTE:**\n",
    "\n",
    "+ During development I've found that 3 datapoints id=[1,2,3] are always indicated as outliers, but the remaining ordering of datapoints by decreasing outlier-hood is unstable between runs: the posterior surface appears to have a small number of solutions with very similar probability.\n",
    "+ The NUTS sampler seems to work okay, and indeed it's a nice opportunity to demonstrate a custom likelihood which is possible to express as a theano function (thus allowing a gradient-based sampler like NUTS). However, with a more complicated dataset, I would spend time understanding this instability and potentially prefer using more samples under Metropolis-Hastings."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Declare Outliers and Compare Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### View ranges for inliers / outlier predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At each step of the traces, each datapoint may be either an inlier or outlier. We hope that the datapoints spend an unequal time being one state or the other, so let's take a look at the simple count of states for each of the 20 datapoints."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5N5CPmTOnAuHhetExiIiIiJxSqSSUP/N3hIfrFfs0tboo/7kkfmbECCsnZCEi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\nGoAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcaced7aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "outlier_melt = pd.melt(pd.DataFrame(traces_signoise['is_outlier', -1000:],\n",
    "                                   columns=['[{}]'.format(int(d)) for d in dfhoggs.index]),\n",
    "                      var_name='datapoint_id', value_name='is_outlier')\n",
    "ax0 = sns.pointplot(y='datapoint_id', x='is_outlier', data=outlier_melt,\n",
    "                   kind='point', join=False, ci=None, size=4, aspect=2)\n",
    "\n",
    "_ = ax0.vlines([0,1], 0, 19, ['b','r'], '--')\n",
    "\n",
    "_ = ax0.set_xlim((-0.1,1.1))\n",
    "_ = ax0.set_xticks(np.arange(0, 1.1, 0.1))\n",
    "_ = ax0.set_xticklabels(['{:.0%}'.format(t) for t in np.arange(0,1.1,0.1)])\n",
    "\n",
    "_ = ax0.yaxis.grid(True, linestyle='-', which='major', color='w', alpha=0.4)\n",
    "_ = ax0.set_title('Prop. of the trace where datapoint is an outlier')\n",
    "_ = ax0.set_xlabel('Prop. of the trace where is_outlier == 1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observe**:\n",
    "\n",
    "+ The plot above shows the number of samples in the traces in which each datapoint is marked as an outlier, expressed as a percentage.\n",
    "+ In particular, 3 points [1, 2, 3] spend >=95% of their time as outliers\n",
    "+ Contrastingly, points at the other end of the plot close to 0% are our strongest inliers.\n",
    "+ For comparison, the mean posterior value of `frac_outliers` is ~0.35, corresponding to roughly 7 of the 20 datapoints. You can see these 7 datapoints in the plot above, all those with a value >50% or thereabouts.\n",
    "+ However, only 3 of these points are outliers >=95% of the time. \n",
    "+ See note above regarding instability between runs.\n",
    "\n",
    "The 95% cutoff we choose is subjective and arbitrary, but I prefer it for now, so let's declare these 3 to be outliers and see how it looks compared to Jake Vanderplas' outliers, which were declared in a slightly different way as points with means above 0.68."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Declare outliers\n",
    "\n",
    "**Note:**\n",
    "+ I will declare outliers to be datapoints that have value == 1 at the 5-percentile cutoff, i.e. in the percentiles from 5 up to 100, their values are 1. \n",
    "+ Try for yourself altering cutoff to larger values, which leads to an objective ranking of outlier-hood."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0    17\n",
       "1.0     3\n",
       "Name: outlier, dtype: int64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cutoff = 5\n",
    "dfhoggs['outlier'] = np.percentile(traces_signoise[-1000:]['is_outlier'],cutoff, axis=0)\n",
    "dfhoggs['outlier'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Posterior Prediction Plots for OLS vs StudentT vs SignalNoise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GhpCcEhwsLG8LUeVWYDq8jsyutJqXtoWoZitEGYMnFKLkxsxCn6oXDlGSmUVy\n68f9JN+rgQhSgiAIwsnJ85DsYlvPqCPbH9QadRTJoeEFCWou8+kZukIqDVsi5EwxWusm4eykpi0j\nW8gy4C/x0IQPw5pm3FqOjxphzcUIxdiRgX5lmIGoxG7p9+hnN5ZdwnOaDPincELr8epjPFvqoifQ\nYN5K8PpBjbmyQ0Aq4mhRTovnOFCOkm4GWRsYo9Yo0yPvpZq4hGFzNUvlHUSjvbhqmGZuN6YcJe32\n0hULE3NHmWM5qebj1I01+HQ/WiAFeGjzP8eMvxH8Xa3RL40pPKO/NSbHY2FO3mFjW5xqa4Dz4YHJ\nqSI7lSOGPDeQm+1F/C+G3JjC1aLtXdCf69jmLEhKe7A7CYggJQiC8Dv24e9v4cPf3/JKX8ZJrxWa\nehd/lsxsaybcwqqJ67oUC7MEwt3ULBefOYljlZH8HYTkMnnTR72eQwkOkM9Pkgy4pItZJgsNisoQ\numQSUD164z5+M6rQL4/SqZeZDlxCyt5GzdHpcZ/BVQKooeUEpCxPzUdZ7s+zt9rN6/td8paBYU2A\nnmBpFLJVk+FSkBWheZz6PN3SKJb/NCaUNxG3d5NMdOPJPhqVGSzXY9JZRjIcIeWNMeEsp8d+kqoy\nhB5I4PcZIPvQ5n+BE3odBIbALqFWD+D5elrF466Dpydac/EOcmrIVumIwNR67fC6Mpw6spU54WaZ\ncn0CV0u2n/tYPK/1FKAabe9TdZIQQUoQBEE4+Th1PFk7tFXl2khuo60Tdzo9RUeqh3TZotdfYCKd\nIZVahs/Lg1VjpKjTGfAoljKoskLY3M+vR4MYagDPldCw6AnDg2NB4mqeqJxB77gIt5lBkjWWW/cy\nYa+lO6oR98NTMzrdRo1d5jLWJjxcNYHfHEYJdNMZCaM0x9iRTzEUrKPXh0kxh63GmIn+IdRGGOoM\nISsazXoJx6ww6Z1GLBikW5th3F5Cr/0UFTrQI4MYmoynRtDmN+H6h3DDa8FuoJa24fq78SS9Nfrl\nyNUgp45sFdr7Nzl1ZCt/xGs1ZCt3VIuE47I4vPg4nrZz7VZndH9f2zy/k4kIUoIgCMJJRzbTbVtA\nR65Olco5AgGDQkMmaVhMzU2RjKdwrRKGk2FnsYPl2n4KTR8Ny6FPGeZnw510+KsUvTCy3CQVdNhb\nToJTJ+mO0Nm3mumqREIt0tt8iJ3OWZwWzaAH+9k+UyegwWSzg66wSyIWgcYwstFB0DBIOVt5IjNA\nd0ghZO8SzSz+AAAgAElEQVQiIpfwZA9zyYfJF7OsTbogBWhYDm51mjH3dYQMg95AkclmJz3eLiqO\ngRo7jaDSwNMSKNlf46oRnNg5rdEvxSdwfb14cgjJrbd6Lx2+wuM2W+NY/IfuE05j4bXDBzxXF8LW\nCdQpLc7d63vh4cVOtfV3M5aApLz4c71KvGaClPm238d82++/0pchCIIg/JZaPaMOPZYvWblWYFjY\n0jMti3qtjOKLIXkg1SZwXBdNCxDxphmtd5NydpFTllOp5hgIlnho3IffzZB1u/Fck7jfoewlmC45\npKT9LEkZ7KsNMaAeQKkOM2P1cUZgHDtyGrPZSZpShLLpx+8LsCqlYlbT6HocTQmwUt3BI+nlxII+\nkvbTBKQmqpPD7P0jds81WZ+YBT1Kw1XwirsZlc8hoKv0BE1m6kE6pWnKDRMleT4hsri+bpTCE0ie\njZO8uDX6pfAorn8AT40gORU8NdjeZsA1W7VOh68wuU1kM93+ml1pbfEdHraOl+ce99w9ycq3xsMY\nJ/YU4KvJa7oh54m6/favs2fPLnK5LI1Gg97ePiKRKF/60v9+pS9NEATh1ObaSG7zUH8jz0Fyam1h\nIJudoqtjgJmSzYCRYd9Mge6+0wnWtpEnSb2ew290Ui1Mk9AtJmczzBZl6uoAPhxivia6nuDJKYkh\n7QDLjBr7pHezksfINhw6vCJhXceJnIWdH2Wk2k+XUWbC6eeN3XVKTT+GpoKk8rrwCI+k+/AbIbrd\np9Flm4A1jtN9JduyMd42sJ+K04PlBfCKm5lS1qMpMr0JP7lKnahWo1acQe56GxFpGtc/hFx6Frk5\ni9X9ToDWSpQxgCsHkdwKKP72gm3XXlj5GTrsNRO5OdfeCd4uvaixLUf+XY63UafUnAdZba/ROom9\nJoKUc9edkJ4H28Z6z7uQP/wRlI1vP+Hv+/M//xQAd9753wwPH+C66z75Ul2qIAiC8Dzk5nSrl9HB\nnxvT7SEqN0s8lmSuvNDqYGaCeOcy9PoePDXASEZiha/CZFlFk12U5jCPz0TQ/CEMz0XyTOIhH/dP\nKPSqc3Qpc6Rj76Gjvp2ca7DUu580/YRivRjOOL8pDbAqkGZnbRlv6KtScJMY0hyoEVbHSzydjVB3\nI6xUd6B6Jgl7H1bqjTxdWcHZkZ3okZXYJQkr8yQZ9RwcSacvHqVUzmL4w3iFJ/G63kVcbvVwkuoj\nqJXtmN0HR79swfF1gmwgO1WQtfaCcc9pNdH0Hx6irKOClWQVW/2kTiTcuGbr7/JCIcrzkJtTuFq8\nrT3Fye6U39pz7roT59N/CbYNgLdvL86n/7IVrl5CTz21mZtu+iTXXfcRdu/exeWXv2XxvZtvvomn\nntpMrVbl5ptv4vrrP8Z1132E/fv3vaTXIAiCcCqTrEJr3trBxptWvtWbaOHnWr2KhEfDNQj7wC6N\n46phfF4NQ6qzsxBlpb6HOSuOY9fo9ka4dzSOoem46EiYpEIeW+fCROUKEW8crfft2NUJZNlhyLyf\nMWsVvYkQMSnHo5l+VscybK8PcFZPg6avh6A9gaREWBJ1mC7ZpK04K4LjOE6VTvbiRdayw7qQlYH9\nhEMpXD1GM7OFon4adXx0xZPYtSnUQDda/iHqqSuIKxlcvROpPo+W+00rRMkySmkbjhoF2UByagu9\nog6ra/Lc1iqR/7BO5q7dCjP+wbb7imce9+y7Nk5jYWVryQuEKKfVqVzvOqVCFJzCK1KL9VDp+WO+\n79z8aZxv/h36L+95yc554MB+/uM/foyuH7vA7j//8z+44IILueKKdzEyMsw3v/k1vvGN77xk5xcE\nQThleR6SXTq0FeW5SE710GqU51EszpNMDZGv2SSUafblG3T2LiFae5RRayUp9wDzLMOsz9PtK3H/\nqI7kmJhKnIZj0Wt4TNcS1E2XXvbTt+QMRssm/dosgcqzjNirOK2jgaRF2ZKO0euvsLvYw4qkhGKk\n0Or7UIxeEkGbZm2e0coShoIFvNocfcoIrtbBPv0PSDrTdAQ1HF8PpcnHaOhLyblRehMppOp+moHT\niGR/Qj5+JZ2+Cp4cRnLq6Llf0ey5emH0yx48xQ9KoNUrSpLbVupa9Upj7QHn8NWpw8Joa57eCfRu\ncmqtp/1eqD2CU28NlPYPnfT1UMdyygapRQsrUcf9+m9hxYqVzxmiALZv30ahkGfTptZqWLPZeMmv\nQRAE4VQkN6fbnsqTG1Ntqy9z6Qk6Un3MlS36gyUmJieJdJ1DqPIwOWUZtVqRuD9Ms5ghpFYZm0+T\nK/loah0oHnT7yzTkDkZLEoPeTpYmAxyodbNa20apkqPphFgVKeD6hhjPmqiKxGzdIB7x0xFUUGoj\nKIE+/LpHyBphS2U1nQELvbmfTjmDI+lMR96HZxVZGinhBNdRm3uCUKyLdK2TzlgKvb6XinE2idx/\nko7+AV1Bu/U0m+ehzf83za53g+JDrg0DHshBJKf170jb/LyDw37bXnNbvZoOC1aSlVsYVHwcA4SP\nZFeQ7fILPtknWcVWDdvh9VmnmFM2SB1cabLe8y68fXuPel9atRrtP//rJT2npmnHfN1eCG2apvKp\nT93IGWec+ZKeVxAE4ZTm1PBkffFJsNYWXxikVnVKuZzD8AfJ1yFp2NRyB7D9S0g1d+L4uhnPKqww\n5hgrR1Bp4FVG2D4fwtQ6CGgOsldF84XZPKnSp43Sb1SZ8L+V5d4TzFU9epwpPF8IO7CcarFA1uom\nrpZxfb2siNZwTAsCXSiKw5C2l4cza0gGZCLmDjp8VaRmkWLHtWTrPi4I78SKXEx9bitIOpP2EqJR\ng4g7TN53Fp3FHzET2khX1I/k1PCUMPrsf2Gm3gpaBLkxBU691eTSs0A6VohaGPa7cH+OtTolmdnW\nW8czQPgIx1uULpkZWvP9TqB4/SRyytdIyR/+yLFf/9CfvaznlSSJRqNBo9Fg7949AJx22hk8+OD9\nAIyMDPODH9zxsl6DIAjCqUA2M4e2njwXyS4v9keybZNavYLqj6JIEgFzmKlakERAwaDCSDHICnU7\no9UusIok3XEemgpjyXEM3aXZsIj4fDw1EyKpZEhJs5ST7yZm7aBgKgy5mylJKYzYAEp9hr2VXgYD\neaasLtbFs9iejuoPonsmawJTPDq/jKARJGFtI+azkRqTuF2Xs6/ez+uDj2HHL6SW3YHi1Zlw1xCP\nRUgyS1paRVfl58z4L6YzmUSxi3haDC39C+zYG8DfDWamFU6UwMJKlbsQmBZ6MB1cifL1t79WH2sL\nW5KZBUk6sRBl5Y+rKF1uTIHsO6FznGxO+SClbHw7ype/BurCf8msWo3y5a/9Vk/tHY93vesqPvKR\nP+ZLX/oCq1evBeCqq97H1NQEH//4n/KVr9zGWWed87JegyAIwslOMtOtOXELWk/tHdpOSmem6Ej2\nUaw5pJQ5JjJFQrFlxOuPM24PEnYnmHKGkOwsKSXDQ9MyDVMnoHtUGh7dEY+9hQSaVyfGGKHBy3Gr\nU2jU6TWfYMYZoiceJWzN8XhxJaeFM2wvd7Ouo4yl9iJLDRTPZHmsyZZ0GFVP0GltJShb+Kp70BNv\n4Mn6ei4y7sOKXkQtfwDNzjHKOkIBH13+MrNOF/32w0xJp9PRsQTVnMH1dbdGvwTX4gaXtka/1EcW\n5goq4Nmt+yAf2gmRGxOt7c+DPZwONsc0BhdXpyQzA5KMpyVO4G+RBc99/nqqg72k9NRxzdc7FUie\n53mv9EU8n3S6/Lzvd3SEX/AYOFR8/lIWl5/qjvfeCi+OuK8vn5Pl3h6cs/d//nj9K3wlx+8Vubeu\nvVCk3KqNkuxSqzB6YUhxLjeD34hQbKp0GzWauW1MeWewlCco+1YzlyuTUPJkGxAgz9zcKM9mIqDH\nsByZ/mCWqWYfk2WJfnc7SwbWMmtFGJD3I1cPMN8wWNOpoco2j+dW0h8osLcQYW2Xhz+YIuhMghpl\nKCYxncsz7y5lib6LoFMkau/FF13Gb7iG8/UH0VJnUmvU0Ct7GPbOwe9T6Q6rmHqMSO1ZJqsBUn0X\noFvjuL4BtPSvcH0pnNh5rdEv5adwjSV4roWE3WpxcNjTb3J9ojWS5WA38bYtvtbqlGSmQdJOaJ7d\ncQUwt9lqq+A/FNxeah0dr75wdsqvSB2k//IeEaIEQRBOIq0C84X6Gs9DsoqLIarRKOMhYXo+wj5Q\na3sZbfTRo47j+HqYKkgMaKPkLB+yU8YqDrMjG8DWOvBpEkk9R8HpZrys0MNeelNBZpwelmoHKFcK\nVG2HJTEHG4VnyktI+quMVXz0xRT8Rhy/NYLs66AjKFMszjJnD9GvTaCYJeKMoxlxnpCvZq2+BS22\nnJql4Ks+ywhnoqkq3dEgc1WXAX2W2RLE+85Ht6dxfX0o+d/gqsFWiHJd1NKTOMZycE0kFp6wOzxE\nNaZaq3ZtIap9i09qzoOkn1iIas4vBLDnDlGSXUY2Mwt1WK+ZaAG8hoKUIAiCcPJoFZQf6hHV2tJb\neGrP88gXsoQjnViOS8QeZrykkwgGCboZJqph+pVnmbKX4DYLRLxxnpwNYmodRPUmTqMEaoK9OR8p\nJukKNCgELmGJupO5skXC3U9QM5B8cabrUTxcak0bvx6hM6LitydRjH4CShOlMcGos4ZefwHVnKZT\nnkPGZlfgj+lSxkhGw9TVbvTCA0yyDkXx0ZmMki0V6TJs5jJpgv2X4ncyuFoCpbgVya7jJN+0MPrl\nYZzgaiS3trga56mRxfskN6ZxtUTbcOAjt/jk5myr27kWfdF/h9Znjef9rGRmwW2c2Gy+U4AIUoIg\nCMKry0LPqIP/eEt2GU8xFldX0ulxksk+0mWLTr1ArZKmqi6ly3qEKW8FPnuWrN2B25gjzixPjXsU\nnThxzabYkIgFNXZmg4SlHEk1DZ2XEzH3Uqpb9LtPUfa6CYTiNOsNZuphEnKdopdkZbKJ7paQjAE0\nt0JCmmCPtYaE3kBv7qfLV0Z1s4xFP4DkNRkKVWj41qLO3cWsfDYmQVKJJJXCNLFwmGp2F8EVVxCg\nALIPuTqK3JjE7nob0Br94gRWITmVVm2SFltckYNWyHG1KCjGodfqE61tv4XaKbkxg6uE2sLX8ZIb\nU7hq+HlrneTGDEjqifWhOkWIICUIgiC8qrT1jPK8hQ7mrW2lajmD7g9TbHh0BBzkyh6GmytYJj1J\n0b+OUq2GThXHcfF7BYbn80zWw4QDOvmmxpJAgX2VJJ7TJMIEHf0XU69OEZCyJJrPMO300t0RR3dz\nPFNdzqpogX3VJGckyyhIoCcwyDBoZHi2spyQJhNs7KQ70EBtjJBP/iF5J8UZgX00whcgzf2CgrqS\nqhehI5HCLA0TjA7izD8Eve8iotYAD6wCankrVte7gNboF9tYguSUWyFKDbc9ASc153CV0BFbfJNt\nW3yt1aoIqKEX/zeoTyysdD1HF3LPa/Wl0mIntNJ1KhFBShAEQXj1cGp4su+wbalDocq1G1RqdRQ9\ngiZLGPWdDNeSdOp5bDXGTFFmQNpD2evAqc3SKI6yNx9F8cWwHY8efZb9jV6KNYUO9tHb0Ue27jKg\nTUJ1grlGhOXxEEpjloeLZ3FGLMcz2TivSzWQfTHQVPxekV7D5ul8B7o/TMx6lk5/A6m8Fzt5KXus\nszgv+BiN2Bvx5u6lKvWQd7tIxZN4lf2o4bUoc3fS7HkvUb8LVgUcGy33AGZPa/SLXH4WW+9Gdiqt\ne6IE28a3SM35VguEwwKS3JjC1ZKLW3ytn2MvfhzLwXYJvs62la42rrVQyN733Me8hrxmgtSHv79l\n8UkZQRAE4dWp1TNqodO2XcGT/YuhKp2dIZnsodxwSDBKsS7RIExcnmXejJNy95CWllCvzBFwptg8\nH6GpJQjJNn47Q9brZ7aik/R20psMUfatoV/ZT6FSwrKq9CWDuE6BLc1zWREqsqfgY0XSQTUiBNwi\nOhZ9cR/7ch6yv4d4cwcdehW1cQA9sYYnnLdxUeA+mrE30sxuxZE05r0lRCIxtOY4XmgtRua/KKWu\nJB5Qkc15UAz07CbMrveCrCJX9oAaQXZr4Hmg+NsaWkpmptWf6bDtttbKU3wx1MiNyYXVpMCLu/kH\n2yX4+kD2HfsYp4pszi2Me1Fe3Pefok7ZzuYvt5mZaa699mpWr16z+NrKlau5/vq/OOrY6677CDfc\ncBPLlq34XV6iIAjCSUVqzh/qGeV5yFZucbZeITdFONpNuuLQbVSQq3OMNJZzmm8rGWklXjNDUwpR\nrxWJuFM8O2tTcrvpMDzytSYxI8p4wSDsjtEdlLEiF9FpP02uapNq7sbVe1A8m332aYSkCvmaQ8Rv\nEDUCBN05JH+KpM9kJj1P3XcOnc6zJLUCWmMKwxfkQeka3qA/gBNZR7U4iW6XGPNeRzgYIOBmaepL\niRf+m3T07XTFIq0VHSUBkz+l2XEFaAZybXSh0abTClGyfmiWIAcbaaptW2lyY2ahTqoVmuT6ROse\nHlZ8flwWu58PPmdAajXjtNquSXiNBKkH92bIVk0c1+PP/+Np3rO+nzetOoHZQkcYHBzi7//+H16C\nKxQEQXiNcy0kz24VlbNQSL3Q+sBqFLFQcR2VqOGhVXeyrzrIgLKXmracYsUl6WXIe73o5k6mMjlG\na/10xXxkShb9oRrPFIaQzQwJf5Vg1wWYtT1YUoOOxlaqcidxw8e804lpWkR0iwx+Vsc1/KSR/b2E\nlSLNeo6svo4ko4S8NGEpj6HWecT/Wc7QnkGPLKFQdwk0hhnhXEJ+jbBq0qCLZOU+Zn1vojvVs1Bb\nlEKb+zmsejtUI62ibbcOShicMkh623w6ycq1upEf1r5Abs7iquHF7Tu5Pr7QS+o5VpOei+cszOEb\nes7WBVJzDmS9bYtRaDnlg9SDezP8718dmrU3mq0t/vxShKnD2bbNX//1LaTT89TrdT70oY9w0UVv\nXHx/797d/O3ffgVN09B1nS984W9QFJkvfekLlMtlHMfhk5+8kRUrVr6k1yUIgvBq12rkOND6wani\nyVrryTPPJVPIE08MUjFtwo0d5O0ElllBC4WZrql0uE9TVFdjZXfjVmbYVuwkHAiSqzsMBSZ5tnI6\nllWlQ5mnv3cV+XqRHjmNVzlAhiRDyTCVhst4LcSqeJmdmSBndssYbgkp2I/hzeF3q+xzVxNXMxiN\nMZJGFZ85wTOJm+lzx4hHAuS9OLH6/ezn9Ri6RDSgUjI1ut0nmFHOpLt7aWsbTo2jZe7CiZ4LgT7I\nj7SKx/29rVUnWcUNLD1suHB+Ybhwe7G5pwRbdVKLfaN6DvWSOl6uhdycapvD18bzForYn6fw/DXu\nFQlSX/3qV9myZQu2bfPRj36Ut771rS/5OQ7WQ2Wr5jHf//o9+/j+o2MvaWfhcrnE+ee/nre97R1M\nTU3y+c9/ui1I3Xnnf/Pud1/Fxo2Xs2XLk+RyWX7963u44IILueKKdzEyMsw3v/k1vvGN77xk1yQI\ngvBqJ1n59p5RZnZxSy+TGSeZ7CddsRjwzeI5HsMFndWRDDk7TtAcpaYNUC5N4bcm2JwPgRpGUz1C\n9gz7myuo1prEGGegq5OCE6Ff2UG9Mk+1qTDYFcNpZnm68gbWJ7I8MR/m7B4HQ6qDv5ewM0FYk9hf\nHyJiWBj1/fQFGuj13QwnPoXqVhiMVCnIpxPL38V+9zx0XSYWiVCu1emRR5m1e+nsPw3ZyuIpAbTc\nr3GMVbihFWBWUKsHcIIrkJtzeLKGG1h2aKSLVVgYy3JYiDLTrd5OavhQB3Nf+7iY4+I2kZsH652O\nFaKchZ5UJ/DdryG/8yD12GOPsW/fPn74wx+Sz+d597vf/bIEqYMc99gTcOzneP3FGB8f47rrDg1F\nPueccykU8vzsZz9GkmRKpWLb8RdffAlf+9qXmZgY5y1vuYyhoSVs376NQiHPpk13AtBsNn7r6xIE\nQThpeB6SXcE1WqtRrS29bgCqpTSqL0a+7tIRsJCqU+yq9DLoH6NGimqtRlyF2aqFUR9h77xL3krR\nE1WoVAs0lE7SFY2IM0pXKoIdWEqXvYNCtYHWzNKR6ENqzvF47fdYF5/mmYyfNbEmfkVD9cUIMkHE\n8DFSjmDoPoL1HQwYVdTqTmaT7ydvxzgv9iw53+uJFO5mzDsTVdVIxhLkywX6jRJzFR+JgfNQnSIg\noeYfx9V7cKNngmtCfgdOeC1SfRJPUhe21xa6kdsl8Ky2Hk2tUS16qy/UweJw/8Ch+XrHy6m11aAd\n/X4d2Uw/d8gSFv3Og9R5553HmWeeCUAkEqFer+M4Dory0lb/H1xp+vP/eJrRbO2o95ckA9z+/5z1\nW53jyBqpX/7y54yPj/Htb/8TpVKJP/3Ta9qOP/fc8/mnf/o3HnnkN9x22y1cd90n0TSVT33qRs44\n48zf6loEQRBORm0dy506nqS0iqytGuWGSSASx+dCoPoMWbcLtTGNFksxUdHpl3cx561Frz1JupBh\nuLaS/kSI2VKRPsNjaz6KYU/z/7P3ZjGSXfeZ5++cu8W+ZuRamVkbq4qLuIibRNGUZcmSKHtk97hl\nwW2jZ9yGZwYwjDEGNuDpmcHMSz/YDXTD6Ncew/3SDXQLMLphS7ZHsmXRkiiuVSRrYa1ZlXtkxh53\nv/eceYisLJZIUSxxqSr5/l5I3sqIuHGCVfHV/3zn+6aKmmL9BPnoPONQUY5OIwoLWEmXV5NnWM5t\nseLazBRCCsUKBdvHoE+lkOPayELYdYrRaeYLI6R3Ab/6Ga6kJ3i6epJB7hOUh8+xHh8gMUrMNKfp\n9beYK8LO0KO6+Dks/Mn0Z3webeRI63vVL/0fwKFPI9deRwsblT+wvzUnkhGkwc2xB281m99USHyL\n35/JGJkMf6RpXMQDROr9aJGVcRMfuZAyDINCYXK64Gtf+xrPPPPMu4qoer2Aab77/yTvVmL4W585\nyv/1tdfe8fr7KT8MwyKmKW96jiTxOXr0EDMzVb797b8iTRNarTK2bVKvF/nrv/6vfPrTn+bXf/1X\nKZUcNjZWePzxR3nppe/xmc98iosXL/Lcc8/xm7/5mz/xfX3Q3IkFkT8NZOv64XE3rK00Jn/Dvxvu\n9a184PebuJA0IbdnoHa7UDwMWrO6ts3x40fZHiQsinNQXeTClRHHDy2w4woO5V4nKT6GsXaKNNrh\n9Pgwy7NVem7EPYVdXovux1ZtZvMhRw7fixvsULChNDiFZ0zTysdc1Z+gygBh2TiJZnF2lobRxrRr\nNHMR64OIfO0eCuFpDpdGyGCdXOsEz8uf5wuNs4SlTzIzOsuu0cSuLbHYmmPU3+C+5Qq726ssPfiL\nFGwJwQj8LugEFr8MSsHOd+DIZ2B0nkazPvFKWaUb6xILyB+5sVZhB6iA0wCtwF2B1gO33msXDyEB\n8sff+deDNog8ONnJvPfKbTObf/Ob3+RrX/saf/qnf/quP9frvX2a9FZ+XCP5w7Ml/uDzx/i337xA\nojQHmwW+8ugBHp4tva8m827XJUnUTc/x2GOf4g//8H/jxRdf5hd+4ctMTbX44z/+N0RRQq/nUq22\n+J3f+V1KpRKWZfEv/+X/TS6X41/9q/+Hr3zlqyil+L3f+/07pr3+trS9/yMgW9cPj7tlbVU6sRbc\nDfd6nQ9jbScnxZZgNJqYp60aeCOG3VVkboozl/ssOLt04yGndyxaBdhoD3DdLuV8k7XL5zFHb3Jy\nu4phmfTclGp8nleShwncLlXRZ2F2ms1+yBybRN5lRkmJparJajjHdhRysJhwsSc4MV/DDFbxi7OU\noj6r45iRfS+5wWnqcgU/6FKyUr7l/xIPVc6zHTSRo7OM3CE94wT1XIH1tYs0SkWuXjqLOfdZ3FGI\nH1yDNMAYnyGe/RXYGWH2nicpPYBx7VUazQa7bhEdaWC0t+U2mGRHjSfrLeLuDbO5HuzFFCyD797S\nek/8VntbheO3f5YyWEebFbSZn9zLHcid+JcPobV+/2ahW+S5557jT/7kT/j3//7fU6u9exP1j/uN\n+15/c183n3+Q5vKfdu6WL6W7jWxdPzzulrW9G/88+qDXVoTtic/HyEEaTLr1nGliv0fPSzCcKnlT\nUfFfpR1W6I5CZssm1waaJWeVy940VvcFrnQCLsdLzNYbhN1z9M1D7IwTSrrNPdNl0tw8s+oMntsh\n8AbMNWv4seSUdy+PTnV5YTPHI3M2BdHFKi9QTjdBpGzr45TUFrPiImUzoBaf4/vl/52lwpiqHaKw\niUZX2TI+RqWQR6RjysUiSe8sqvWzlMsNpL+CVgKr/w9Ec78GUmIOXiXJLSHjbcCgOX+YneGekTsN\nkHHnpvLfyYm9PbP5fkzBwVv2Ld0kxn4Yrd5y6u8WoxM+Yu5EIfWRT6RGoxF//Md/zJ/92Z/9WBH1\nQXI3/YF1q0TPfg4A+xvfvM13kpGRkfEe2M+M2qszidqTyZRK2B0OqdcXGUcJFf8kqdHi6s4OxxZa\nXOlpDsqX2eYR6P0DO8M+V4KjLE7V2e1uYss620NJQfeZq1rkygfIe6cZxaDdNjP1adJwxKvhZ3ii\nucYL2wWONRR5Y4BZOEAlWUEaNlvqECXRp6KuUnViSsFJXq78H0zlDermgMichsEZto2PUc5ZSBVQ\nKNRI+ieJ6z9DrdxABmtoJbH63yaa+2c3ql+ceWTSQ2iNcpqTrTpGEw9VvHtzAGfcB51Okt5VMjlB\n95OIqGgXhHxnEaXCicE/t3Tr24QZwG0QUl//+tfp9Xr83u/93v61P/qjP2J+fv6jvpWMjIyMjNvA\nWzOj3ppm3umsUq8t0XFjFq0rKLPOmbUd5lvz7AwHzKVXGBUepr/+Gkawwevjw0w3K2wPRszZfU76\nxzGTHaYqmtnWAklwBT+1sbwXcMqziKTHy8mznKhc5XSvzHJpRLVgYeenKKZXsOwim34Dx1Y40VXm\nyxH54UnerP4OplNm0XgD3zqK4Z1hLT1OviAwpcAyi8jhqwSVT1Cvz0y2KbXA6v090cyvTKpf3Atg\nlP0BrcEAACAASURBVJE6hMRF5WZvVOGoCBm2908uwsTwvb8N9+Oynt4FEbYnQZrW2wcXIhkhktFN\nwZ8Zt85HLqS++tWv8tWvfvWjftmMjIyMjDsAEfcmX+pCgAoRKLSRxx9tIXJNekHKtDNAxD5bwwic\nFlaywziKsApNVtprON4FXurMUc07uKHJDOc5Fz5JOt6k6QQcmZtjFI6pihRj+BKu2aQuBryivsCc\nuUY/KpFjQL3cpGJ7WHob2y6yGZSRuQK2f57lYh979BobtV9hKJd5xH6ZkX0fheA8V8IFnJxJzi5i\nSI3jvYZb/DjVxoHJyToVY3W/Q9R6FqzipPoFgTbySP8aOjePdmYmC6KSibB8a4p5MgQVTk7sqWhv\nYnTrMQQy3EIbhckW6g9/DlEH0DdOTGb8xGRzvIyMjIyMj4a9zKjrX+wybKOcWVQ8pudrTKtAwdLk\nw8sk2mRlkOdQNWTNzbNob3JtXEUM3+ByP4dvlrHzLQr+61xWjzBy2+TthBMLDfqRoMEucnSOvi4x\nmw95U3wCW/XIOxb98Zj56Vmq5i6mqclJwW5YQDpN7OAaR0ttLP884+JTrOqP81DxJAPrBIVklZVx\nCcsski82gJS8fx4vd4Jy/RBGOgYVYPa+R9R4BpypSfVL6qGtJtJbQdvTN8SLTsFbnWyrXScZT2Ig\nnOkbgZn5pVsXUcEGyiy/o4iSweYkRsH+YNs9/rGSCamMjIyMjI8EGa7viwgR7aLsJmjNTneHRqOF\nG6Q04tdR1gxvrPa5Z6HBpQ4cN19hTT6Ct/N9xt6Ya+Ec8/V5/O4FhsYheiMXm4Rj0xa+KNJSKyRB\nh1GYsFCRbHGYfuRwrBpyrqM5Oteirq5iOFMU8OgmFURuBiNc5Z78CtLfQDkHOGv8HA+WrjCUi1TY\n5VpPYeZbFMtTqMilFF3Gt5cpNo9jiggR9bB6z5NWHob8AYh2J9Uv+SWkdwHtNG9s32mFDFahePCG\nSEpdZDqeTKvS4G3bfe95nYM1lFV/e6WL1pMTf1btpuLjjPdHJqQyMjIyMj58Uhct85PwSBUhVAxG\ngdFglXxlns4oZcFeQxkV1jYv4jTupd9bZ4aLDIufYHftJYS3wRujZQ40q2x1t8hbitWBQIqIpUpK\nrdyknFwlTAX+aItWyWKUFjjjH+KJxi7Pb+W4f8qgrDYQpSUqao2erqKcaZS/yRHrEiLsYZspp6xf\n4kTNJcSiagasdQakzjzlUp04HFPRG/jWAez6cSxDIMMtjNFrJIWjqNIxSPaqX8r3YY5Oo80aKn94\nIpq0mgiat27XXY89cGYnqeJx59ZF1HWhZLdgr/x5HxXvpaAfePuvZbwvMiGVkZGRkfGhI6PO/qmx\n6zUwadjBTYvEqaBhu4h4TOptsJYepcVVkkSRz5e5srGKcC9yZrxArVhg17OYYoUr/jJapczkA5bn\nmsR+mwQLOThFsVAkUYpXo0/xWHWFl3YqHK2MKJg+TmWGWrLCWE+RiAYi2GVJXMTWHmWxy6vmb7Bc\nLyPCXcqOwWanQ+QcpFYt4wc+DaNNZLYwK0fI2TmkdxUxvoiyWqjqQ6AizNFJktrjmINXUFYVVTy6\nJ6L2CobzbxVRPjLuTaZ1qbf37wvvsprvwH7n3vzbIwxSFxlt75nVP9gWkYxMSGVkZGRkfMiIcBtl\nT6pORNTZ29JLaPfHVMo1UIpyfJFUK17ZmeJEK2F1bLBsrXDFn0V3XmZ9nCMQVchNUw5f5goPMfSH\nVGyX+w9MMfQ8HJlQHL5IKOtULZdX0s9zLH+Jq16LmuxQLhYpFQqUozUCKviijkxcWuIyJSegml7h\nlPPr1BqzFMMzFItlusMBrrlEKV/CDxNaVodIlBHFQxQKFWSwivDXEBLSxpP71S9J5ZMYg5dRZhVV\nODKJFrgudnKLN6IG3podlbp7YZy3aADX6i2dezeXC4u4i0jcySQq68z7UMiEVEZGRkbGh4eKEFpN\ngjdVglAhGEU6nTWqtQP03IRpzqPMKS5v9Ziamme13eOEPMmW8zTd1e/gRSHr4SwzU3MkvVNsi/sZ\nDQc4RspDC2UGQUyVAcb4PJ24wFyuz6vpZ2mITSKjRuj1aDVmmLIDiqJPInKMjCmk1OTUBtP2iEp0\njnPOL2HV7mM2fIlccYrBeMRANakW80RKMW318bFR+YMUSk1ksInwN5HJkGRqkudnDr5HUnsSw30D\nZB5VODQRN9cnUc6BG1MhFULQRuUOIJIRMhlNEs1vBZ3eSDr/oWmTCLcBcVNf392Mp8a3+xbekUxI\nZWRkZGR8aFzfxpv8+wbKmSMYbYDdYhCkzNmbaJnH656ml3sExm8yZ24wLj/BxYs/wI62eNNfZq41\nw+7OGhgVtocRqTK4fzoFIaiIPjLdpedGHCiFnNdPkyYpCyXJWs/n8HyTlrGObQqUgpGcwRQWRrTJ\nEWeTQnyRDfPTjEpPcSB+Dqs4zyhM6Uc58oUCUWrStPrECnRumVJ1dhJyGW4io2vE018CwOz9gKT8\nMIZ7GTSkxUMTAQmTME1nHuRe6pCKkOE2FJcmcQept79O7xkVvyWk8y1f51oj/VW0WUZb9ff7Ed52\nEp3gqTF5UfzxP3wbyIRURkZGRsaHgoi7+5lRIuqgrAakLl3fwLRylKSLlQ5IRlc56T/EvLmBShR5\nJ8ebGzs43pu8OT5AOVeh6wVU9DZX3ApKweGKS7NcRUYDhPIZ9NoslCPWxVE2kwYP1zu8uG1wouVQ\n02sYThOZDhiwgLTyqLDNsdwF7GSNgXGcjdLnOCJfxsy1CFKL3jDAzpVJRZGGOQIVk+QXKVUPIOI+\nwtvAHJ8lnv6VG9UvxXuQURvSMap4aP/UnPRXUc7MjW03Fe9lRy1BNIA0uJEr9V5R4V6w6Q/lS+l0\nss3nzIFR+IA+ydtHoHxSEgqyREp6u2/nHcmEVEZGRkbGB49WiMSd5BjpFKECMApsd3ap1Zp4YURN\nr4BKOO9O0ypZ9McuS9YlLkXL+Ns/YDcokNhVlFOh6L/BSniIIFJMlzxOLDaJgx2QGt19jaINrqpz\nznuAT9Wv8N3tOvfWPArWEKswSyFao2Pcg2U7xF6X+3LnsOMusdngQv5XOGStYhkQm3W6/R3MfB3s\nKlVjhEqGJPmDFCrLCOUhgnVM9xTR3Ff2ql/OoJxZhAoQURtVPHIjKytYn5yiu24AV8leDMTSpALm\nevDmrZD6e9EIP5QvlfqT18sfvDH5uktRWuGqEZawcUSOQHm4ani7b+sdyYRURkZGRsYHjgw39k+e\nyWAD5cwz7q+SK8/Tc1MWrKsoSmx1ukTOMvHoKgetc2zlfo61C99B6oDVcJZabRbde4M2xxjEmqIR\n8MTBGoNhB9swyA9fwhMVqnnBD9JP80TlPCf7s8zndyjlTSq5IvX0IjvWvViGRegPOJE7jRH3MNCc\nNr/KYskjr9qI/BI7nW2E08DINSlJd5IAXj6OXTqAIVIMdwVz+ArR9C+DtPeqX4ooaWN4l1GFe/a3\n02SwMZnC7W3vodPJVlxuGZH0QSeQu1UR5U5O9f1QNIKI+8hk8BOFd95pRDok1D5FOSkoHqZ9Yh1T\nlh9dP++tkAmpjIyMjIwPlmS8lxkl97b3qqThLmNVJlbQsnYBA793mg3zCRz/MtPGDmHxEd688H3q\nYp2zo0PMtWbpbl9ByTIbA4lQCU8u2/THI0pS4Xin2QmLLBRG/EPwBY7Yq2zpFkbapVGu0corimqT\ntjyGaeaJwzGHrTNYakhBDjmV+w1a1TyV8DRG9R42OlsIu4RZaJETLka4iaw/iMxPYZkm0j2PMTxF\nNPUFsMpI7yoAympiDl8nLR2/OeLBqt7IbNIK6V9D5Q8ikh5odcvJ4iIZ7hnSbz7VJ6Id0Omte6zu\nQDw1RiDIyyKhDhilfWzhUJRlAu3d7tt7RzIhlZGRkZHxgSLj7kRQ6BSRemjp0B6GVMoVZDIir7uk\n48usyCcw0l1y9Mg7krNrQ4zRGc6P56lXmuwOhlSNAZdGdaTUPDLjI0VK0UgxkzXao4TDhV1ejj9P\n3RxSLOTZHfgsN6vM2h1yxoihnkJYVdLYZU5cpIhPTW/xuvmrVOvTNP3vkWucYH1nB00RKzeNTYwV\nrmM0HgWzhOOUkN4FjNEbJI2nwZneq35xUfmDmIMfoErHJwXD7MU9GKUbyeLXAzjzBxFxF7TeF1zv\nFRH3IQ3eJpZksIaW+Vt+vjuNRMf7hnITi3E6JFAeJaOKEAJfuWj07b7NdyQTUhkZGRkZHxgi3J4Y\nq7m+pbdAr7tBuTJDbxzRMrYQsce6P4ufOjhxmzm5ykp8lM7G84zTMrE9hZ+YlNNLnB/P4IaKw9Uh\nzUoVEY8wVZ/eYJcD+QFv6E8TaIej1SGvb6UcnzKpy3VypsM4tFDOIjoJKKpNWtYOVa5xVn4Js3ac\nKfc7FOv3sNbxSDFxijVMU2KHV7Caj5AKG6dQR3pXMAevkZYfQhWWIOpOJk7FE5jd76AKR/djC0S0\nM5lCmaXJglxPG88vT0SUED+BiOqCTm72Ul3PjrKnb7zWXUqgPFJSCrJETMRQ9TCEQUXWiXRAomMM\nYe5v9d1pZEIqIyMjI+ODQUUINEgHEffRZoXIXSe1pxkFijlrFY1BezCgax4hH11iTpynW/wMZ89+\nm5o1YjWcp1icQrsX2Ajn6Cd5Zks+9x9okobbIA1U7xx5I2aLe9hIDvBU6yrf36hyXyuhYvbJFxuk\nSZ+4eC9SBcikz2HrIuV0i2vyKaLaY0wHP6BaXWDTc4iTgHy+ijTzFII3sZsfJ1IG+dI0ItjCGLxK\nUjyCKp+AxMN0L5BUH8HsfxeVX0IVloFJfyDCvlEUrPVE7OSX9kSUgbYat7SkIupMnuqt24BpsO+1\nQtofyEd3O7hhKHdwRA43HeErl6IsYwgTX7kAOCJPTt65tTaZkMrIyMjI+ECQ4RbKntk7sTcCYNe3\nMU2HMruYQjDunKVb+CSpe40m66Slj/HSGy9wwFjl1PAwrakZBp1rJMJmO6iSEwFPHy4xGmxiyCLl\n0YsMkxwFu8Dr0eP8TPMcz21Mc7DQpSxDKoU8ufAqu/ajmNojikacsF6joHdoyxN0Sj/LVHqORtFk\nK5nD93axnCLaqlEKz2E1H8FPNcXqAiLqYPR/gHJmUdWP71W/vEJSfRyz/yLKqqMKR4E9wSPMG2XA\n11PM90WUNYmCuAVEtPM28SWSITLu3lwxcxcS6oBIBxRlGY1ikHYB9qZQIYmOQUBBljDFnX0CMRNS\nGRkZGRnvm4mpvA5C7AVvztLu9amUG0T+gIo1Ro0uMcw9ym5vREtuUrQlp9c8csEZzrtLNGpzdHpd\nyvS47M2Bjvj0UsJ41MU2i1T8l1jzSxysjPn74Od5vH6JM6M5auaASiHHdFFQCFdZMz5J1Q4JApd7\n7VdxdB9XzrFW/BJTxgYz1i5t8wG80RamlSOxZqjG58g1PoYXaUrVJUQywug/D0aBtPHUjeqX6lPI\n8WkUBqp0/35GFkLcEEpvSTEXUQekc0NgvUdkuLX3uBviS0QdUNGtV8jcQWit8dQYA4OcLOArF1cN\nycsijszhaxc0mMKiIO+OLctMSGVkZGRkvD/2M6PKiHiANkp4wzWs4jwDL2Q214Vgl+1khmteiRlx\nlSZXWYnvYXPzRQJVILRmcQOPhr7CafcQQah4fGaIFGBbkmJ4gWtDyfHCBn/r/yKHyzuM0yqR7zJT\nzbFQGJFTW6yZj1DLCYZuwHHzFQp4pNLmUu7L1B2feXmGbuEpvP4GplAkuUWm0kvYtWO4qUWpvoTQ\nEWb3eYRKSVo/D9yofpH+RUQynpQTC4GIe5MleMvU6HqKuYg7YORvbPW9R2SwgTJKNz1OBhsgrVs+\n6XcnkegYX7vkRRGBZJj2SHVKRTZIdUKsYzSanCxgC+dtj9c6M5tnZGRkZPwUsp8ZpTUiGaLSkIGq\nEStNy9yCxGNnFDCyj2EF6zT1OcblT3Pq7PeZt3qsx0vkHAfbv8ZFb4lxDPfVRsw1Kph6iJX06bld\nFnNdvp/8AkVD0LAVlwcpB5uSebtNznBZ5z5KhQJu5HJYvkzeiDCFywX7n1DIF1mKn2NQ/hyD/iam\niIhyh2ipFezSPD5lcsUZpBAYvech6RJP/yJwo/pFhpvIsE1aexSEgYgHoNObzOOTFPNZZNxBG0W0\neWsGaRmsoaza283qVuOWBdmdxFsN5ZNYgx6OzE+mUtoFBAIoyjJSvF2axDra+7k7j0xIZWRkZGT8\nxIhktJ8ZJcN1lFVje5hSLhSx4h1yUjMeXCOpPEq70+aAPIcu38ffv3qKE+Isr7r30Kw1cQdtBkme\n3ajClO3x4HKZ2F0nEQWM8RksHbLCY4zlDA9WNzi5U+DeWsqUtUs5Z7CbtCgWp4iDEbPpWSoypKI3\nOSN/Cac0y8HgL/Fav8Cgv46hPCLnAE1jC7tQIcodwHaqmFYOo/sDjGCNeHZS/WIMTpIUjyBSF+le\nIak+CtKe9OPp6KYJkQzWUHYLGe2izPKtnabTepIzZbduVLuoaOKzyi3eCPW8y0h1iqtG2CKHhc0w\n7RPpgLJRR2tFrCIALGGRk2+vtLm+FQgT0/mdSCakMjIyMj5CvnN+l44b0R6F/O5/Osl3zu/e7lt6\nX4i4h7abiGSIlgX6g10KpSmGowGNXEQyPM849yBXOiEL8jJFW3Jq1acev85r7j2Uy3Ps9DrkaXM1\nXEJqn88eNRgMthDONI3RP7AbFMCe4WJynJ9pnOU77SZHSkPqVpd60WEQpIjicVTUpaQ2mDF3achV\nTptfxqocYdH7BknzWXZ2tyAOUc4cVWtMwUxJCieQ0sTKVTCGpzD8i0Sz/xSkiRyd2evAMzCGr5HU\nHgMjPzHSp8F+bhTsVcFYzYkR3KrdyJB6L1w3pjtzN6pkkjEyar+9kPguItQBsQ4pyjIJMUPVwxY2\nRVkh1D4CiRZqz1Buve3xkQ4JtEdBlohUyFB1b8O7+PHcnZ9ORkZGxl3Id87v8q//5jypmng9Vjoe\n//pvzt+1YkqGW5PMKK0R8YA4GhObM7hhzHxhjB5fYyedoRvXKSWbTHGZ1eQEW+sn8XWZJL+I5/aZ\nYYXXvPvRqcvnD7kMXJd8rkxt/F2uejXmSwHPB0/zdP08z7fnmXNGVHIRU5UckdvHKz2BoTqIqM8B\n8xI1Vjkvv4gunmA2fg6r8TDb4zFK+Wi7RsFSFHSPpPYJlEpwCk2M0XmM4atErf8OzBzSvQhGAWXW\nMIcvktYen0yYUheRujdlOk2qYOp7Iqp+a2XB1/Ogcov7pcYi7iJSD5U78EF/ZB8JbzWUOyKPm47w\n1JiSrCKEJNYhEokQ4h0N5dcfLxA4Ik832UEDYep/9G/mPXBnnynMyMjIuMP5rf/w8nv+2Y4bveP1\nf/vNC/yH7199T8/x//4Pj77n1/tQUeHkn9JBButoo0B7rCgUbYrRKjLpsetrdOUYg/V1jssXGZU+\nxfde+gH35TqcCh/CMiIa6RVedk8QhCGfmu1jSpuc0NjheVYHgsOlNt/w/imPNDa56k9jiyGtAiyW\nEgh22S18hop0CbwxDzivU1VtVu2nGOfvY1a9TqVUZSWoo6IdpLQp5MpU0ovo2S+R+B0K1UWEdxWj\n/z2i6S+BU0f6q4BG5Rawun9HUnl0cnou9ZDx4KZTczLYRFlVZNTZ25a7hS04nYK7shdlMJlryHAL\nLXO3XmR8hxDriFhHFGSJRMcMVBcbh4qsE2gPA4uUlLwovqMXKtIhqU4oyBKuGhOqPgYWq9ElctyZ\n25vZRCojIyPjI+L6JOqHSX7E9TsZGW5P6kqSMRqDnaFHpVwn8bYo2pLxYJuoeB/XdrosidNQPMG3\nXzvLQ9brvOwexbEL6GCLy+ESo8jkaGXAQrOGjnpI5eENNmnlXL7tP8uBcohCsOtFLNUMFksD8skm\nV82foV6IGHsu95svU9Zd+tYxts1HmRLbTFs91tSDqKiHoUNypQXK8TnE3JcI3O2JiArbWJ2/I2k8\nA84MBNuQDFCFw1jd75AU75+YyVN/Uhb8VhEVbqHM8kREOdO3JqJUjAxWoXhoIqKue6TMyi3nTd0p\nXK9xKcgSXjpmrIYUZRlTWoTaxxAmmvQdDeVKKzw1RiL3plBtlFJ46Zj1+DIta46G1foRr3x7ySZS\nGRkZGe+DW5kQ/e5/OslK5+3FqwebBf7drz38Qd7Wh4qIOiirMfnyj7uMwxQzf4DhqMdCWRJ3XmNk\nn6AfGuSja1TskO+ueiwkp3g9OEG5NI/rbSK0wYZfp2IMeHLZwXM3wWpg9/8/xrrCavoAtlNmyVnl\nhd0GJxoJs+Y2JTHmTZ5iriQYDD2Oy+9SMMa4zHLZfJq6E3FAneRq/qskw3WMuItZu59qeApj4RcZ\nj7cp1w5CPMRqf4Ok9gSqeBiiLma4QVJ5GKP3HEn+EDq/ACpExp2bttpEuI2Whcl1Z+7WEsZVOBFh\nub1QTZUgwzWUcwDk3fe1nOqUQHvkRRGFYph2kZhUxGQKZWGj0RgYmPLtYjPUAUqne1OoEYGa+KfW\n4yvkRJ4j9gN00k3SOzSYM5tIZWRkZHxEfOXRd/a8/KjrdyRaIZQPZgkZbpIqwUA1iJOI6ZyP6p+m\nxwGUPUO/s8WyfINL8VEG7bP0dAPfWcT1utRpc95fxtJjnr0noD9yMZ0ppkbfYiNsEJvT7Mplnqhf\n4fmdGe6phcwYazTzISvJCaYqFcbemGXxIlUZIqTFJfNnqebLHIr+hvXabxCPtyDaQNQeoBGexF54\nlrHbo1RZABVhb/9XkvL9qPJ9e9Uv50mqj2D0XwSriS4enpycC9s3i6hoB2QOkXRRzvytiajUR0Y7\nN5LJEw8Zbu7VvdyZQuHdeKuhPNIhY9UntxeuGTARUTHRpIz4hwzl16dQBiY5UaCbtElUgpeO2Y3X\nmLbnqZp1tpJrVGSDPFnXXkZGRsY/ap45NsUffP4YppxUexxsFviDzx/jmWN3T8iiDNYn4iF10Tph\n27Mo5vJYyTZO0maQlomdA6zvbnGY5xmXnuClc+dYtLfZiJcxEp8pcZmXRg8RRz4/tzTGjaCSNyi5\nz3PFqzFdSHgtfpKnmpf4dvsAS4U+DXOXuQqsB1M41UPEQZep+DRT5pic4XJW/gKFYouD/n9ha+p/\nJh5fhXAdXXqAqegk9vxnGfs+hdIUQphYW3+Oyh9C1R4DlWAOXyapPoExOAXCIC3fvzcp2kTlF/ff\nv4h2AAuR9PYmSG8/bfYjSd297cGJKBNxH+Lh5PnvsroXrTWuGmFgYoscw7RHpIP9cE2NRiJRe6fy\nxA+9v0D5RDqYnMjTAd10B41mK74GaBbN43jpiFhHtKx5unqHq/Gbt+fN/hgyIXWXk/7V12GnDZsb\nxF/55cl/Z2Rk3LE8c2yKRtFmuuzw737t4btKRIlkhDaLgECGuwy8lEKxgT/aop63GI17+OYCfhRR\n8M9hl+b51qkrPJ57kVPex7Bsi6pa4TXvY3hBxCOtAUVHktNjZHCNdj9ioeTzLfdZPtG8xmv9ORpy\nQCsXcLCq2XUluv4IRtKhnF5mxu5QZpczxpfJlVos+39Ob/qfE44vk4Y9UmeJljqDM/1J3MTAcfIY\nVhGr/d/AqpE0n96rfvk+Se1TSP8SKHcSuKnTyXZbbunG+486gIFI+3un7N77BEkkI2Qy2vdYibAN\nKMjPfrAf0kfA9XDMoiyTkjBIu9giR0GW9rbyHBId75cRv5VUp3hqjCmsfS9UqELcdEQnbtOy5ykY\nJbbVKjU5ha1zrITnGcZdFOltesfvTiak7mLSv/o66R/+PiQJAPrCedI//P1MTGVkZHzwaD3JjLIa\nyHCLKInxzVk8b8B0xSHsnmRoHkI6Vbbb11h0tviHK4oj4hVedh9AOHXMaI21dJndscnBUpejdYM0\n7oEwUKNLOA783fiznKgO2AkKJJHPbDFiqTxi6A5wy5/ASXfJRWvMmus0rTZvWl+A/CwL/jcJml9g\nPO6QhgERJaaMNoWpB/BlHVOCmatj7vwtqIR4+ovAjeoXEa4jgzXS2if3Igmu3fAwcV1EaUQymIgr\nYbznpRPxAFJ/Ys5nEtypjcJNtTJ3C9cN5XlRZJwOCZRH2agBmpQUQ5gkTE7tGT+0RoHyiXVIQZaI\ndUg3bZNqxW6yjhSSJfMexsmARMfMWAvsplusxiskaYSvXEIV3J43/WO4+zZkfwqJnv3cT/bAnfY7\nXk7/zz8k/ZN/c8tPZ3/jmz/ZfWRkZPz0E2xNhEDqQTqmHTXI5TQ5HaJ7bzA0j2DkZ7iyvsq9xquc\nGR0hHZ1iW7VwzSUK8SaJtrg0rNLMdfnkEoShi2k2qI3+glW9yFp8jFZZULQ93uwVOVIJWS72kXGX\ndv6LNAyP2O2xaF+kaexwmU/gmYc4qF5FVO6hG0h04hGrlKlSSKUyj+ccREQD7PI8svsiIlwjnv8N\nAMzBiyTlBxFRH3N8mnjq88BeJUv+4A0RFXdBp4jUvSmq4L0g4t6kRsaZngi04Nqt+6ruABKdEGqf\nvCiSktBXHRxy5GWVQHvkKBBqH1s4bzOUpzol1D6OyCORdJM2WoOrRoQqYsqeR6HYTq7RMufx1Jgr\n4XlSHZOQEogxBVlmHA1u07t/d7KJ1N3M3iTqPV/PyMjI+ElQISBA2shgkx2/QClfQflbFFSbIdMk\nRoN+d5d6+BoD6zDn19eomwPaapmc7lIxhpwaHsTRQz6z5DKKIZ9zqI+/xWV3AV9PETtzHLJ2Od2t\nsVyOOZTfpMIWl42fY6akCII+R63XaIoddvRxds2PccC8RMExaatDqDQkCQc0ygVqxTxB6WFUsItT\nnkcOX8canySe/2c3ql/yhxAqwRy9Qtz4LCD2RNRbJlFxD1SCUN4tp4yLqANaTWpk0mBSZpxbvutE\nVKB8Eh1TlGUC5eGqEWVZRQqDWEc4IkeI/46G8kB5+7lSEy9Um0hF9NI2hjBZMA8ySvooldAw4Eac\nGAAAIABJREFUZthK1tiMrpGogFD5hCrAShxWgou8Hr54m1bg3ckmUncAP+kkKP7KL6MvnH/bdXHs\nONZ//vP3e1sZGRkZwCQzivz9yM4F3CiBXAt3vMlcxcbt9PHMQziWSbdzhXvKkr94s8dD5kme958g\nFdBK1vm+9zAiGfPJ+REJDjVjhD28wJpfJOfkeU19jKfrl/nu9jLLhQEHrHWmnT6vRZ9ippFjNO5w\nkJM0zS4DuciK+TMczHWpJetcs76MDvok7ga16jJ1p09U+yLR6CrF2iGkt4LV+y7hwj+fVL+Mz6Kd\nFkI6mL3vE9d/ZnI9uIrKL+2LJRH3QYUIFdy0zfdeENEOCAtt1RDJEJGMJwLtLkJrjafH+x13g7SL\ngUlF1vG1iyPyJDraLyN+K4lOiHSAI/IYwqCTtEl1gq9cUpUyZc2SiIR2skrLnGesBmzEVwh1SKpS\nIulh6TyjdIe16AJSm9xnf/x2LMOPJZtI3cXI3/qf3vn6v/jtj/hOMjIyflrZz4xKfLS/Q1fPk4YD\npop5gp2XGVmHyRdbXFxd45h9kW9ftTlunOIV/wFSo86UvsCZ8AHGbsoD9R6tgqSQ9hDJgIHbxzaL\nvBw+zpP1dV7uHWTW7jHrdFkuDzkbHKdZnyPwR8wnLzMtO4SiypvycywWQxr+d7la/So66hONrlCq\nHqJpb5G0nsUbrVKsLSOiXez2XxLOfgXMwqT6ReZRVh2j/wJx9VEwCntddwf2vU8TX5OHUOGti6hw\nG6QzEVHRLqj4piDPu4HrPXdFWSbREWPVJy+LWNLe3+ILtf+OhvJAeSQ63p9CdZJtotRnpIZY0mbW\nXGKQdkFBTbbYjtbYitfwlI+fekRECC05H77Otfg8DXOa48UHqTtZIGfGB4zxxS8BE08USYI4dhz5\nL357/3pGRkbG+2IvM0rbTRhfZjOeppgXyCiE4WnG9kNYdpl2+ypT8SlOunPk/QusxXW6YpED6gzb\nHOXqyOCe8hbHWpDEI0xpkeu9TNc4ymvBx3mw0efSqIGlh8wUPI5Wu6z4szj1e4mjHtPJi8w6faRp\n8Tqf50BF0Rz+JetT/ytWcI3heJ1KbYlZY4V07ldxBxuUyjOQjLE3/wvBzH8PTnNS/aJTVH4Rs/c8\nqnQv2M2JsdxZ2D+FJ5IhJCMEas9Y/t5FlAw2UWZ5krMVbKDNEtqsfFif0IeCr1xMYe3FGnQRGFRE\ng0B72MJBCEGkA4ry5lyn61OonCgghaSTtIl0SKR8hJY0zRYREe10lZY1zyDp0VU7uGqE1hCLgBRF\nL+mwFV/DxOYe50EqsoaWGoW6TSvy7mRC6i7H+OKX9o3l2XZeRkbGB4kM1lG5BUSwRT+V2IUa4Xid\nKWvAyJhDCYFULt3OFcqywE53l5YYcj59iGlxCd9o8Ea3wUJ+nSfnY6LEIm/laY6/znl1gqvqGAuV\nhCgVeIliueRxrLJN27OJ649jJ31q0evM2H3yZsJJ/SzTNYfa4BtstX4bHV7FHe1QKkwxb6yQzn+F\n0WiXUrGMEAJn/T9ODOT5uRvVL8UTmP3vo/JLqNw8MlibFC9fLwxORhD3EYjJNt+trpdVB5mfeK3s\nmVurjbnNXDeUF0SJiBA3HZI3SkgkgfYm1S9qjC0cbOnc9FhfuUhhUJAlfOUxjgf4yiOVMY7MU6HJ\nTrpGWdQpyxrtaIOx6pPohFhNcqe8xGMzukbImBlzntncEpa2EAJiFbOZbN6mlXl3sq29jIyMjIy3\nIZLhJDNKxyh/A9c+SDjeolm08N0uIWVy+SoXVlZZyu1yajNhWZzltHeMvBiTMyUv95eo6DaPzYSM\ndJGS6VMZfps3vcPsME8+X2RKjrjql5gvjjhW2iQIIwblZ3AYUYkvMG20aVgBp5OnqJTr1Ed/y6D5\nT9DhLp47IO/kmbe3SOd+Cdf3KNgGwijibPxH4vqnUKWjEPUxwzVU6T6MwUsoq4UqHNoTPlNwXRSk\nLiLqIIS8KYTzvSD9VZTVBLHntcot3lUi6rqhvCBKjNRgL9agTqonh5ds4eCp8dsM5YmO8dTER2Xj\n0E3a9NI2nh6h0TTkNIY22FEbTJlzBNqlG+3QS7ZJdEygAmLlsZVe41r0JspUnMh/nIPOcUQKQgt2\nkjYr4SViHd6u5XlXsolURkZGRsbNaI2I+6j8EsbwFNfSgyzoMbVCkWj3u4yLj+M4RdY3LtPiAt9d\nL3BEnuaMe5RYF1gQl3hh+DFIRjw07eHkbEpqGztYZTMqEYoZRmKah/M7vNBbZLnY4Uh+h7wYcN7+\nAjOGhw7WmBKrTDsjLiT3YVSP0fK/TVh+kiRRuP4YS8TM50cw8/N4icAWEYYzjbXxn4nzx1CVB/eq\nX86R1J7EGJ4CmUOVTyCDjYn367rYST1ksA2Gg8ot3NJaTSIN5iZ1MnF/crrvLkFptW8c1yj6qkNe\nFDCFdZMXSgj5NkP526ZQyQBPuWiR4sg8JWrspBuURJWiLNGJtxmqHimKRChSldBN2njxgDEjpo0l\nFpwlUp2SiIQQn/XkCjo1KMsCefPOLHPOhFRGRkZGxk3IcAvlzCGCNXaiCvmcg4p95OAVhsXHcAxI\n3TXG/au0RzYtVlkLSrT1Ivc6p3jDf5CdseSx+hYLFRvSEYb2CEZtXOMBrgXzPNTq8+rwILO5NocK\nHWbNLU7pTzNdNomCLRbFRebzfdaSJYbFpziafo/QnsY1WrjuEJkMWKwLxNSn8KlgJjtYpQOY7b8A\ns4qaenpS/TJ6haT6FNI9BzokrT058TFZVTAmp9FIfWSwAUbh1kzhWiP9FVRuEZEOJ/6r3N3Tmxjp\nkFQnFGWZcTokIaYsa8Q6JCUlJwp4ekxOFG4K10x0TKRD8qIIQDdp4+oxSiUY0qQsG3hqRJdtmnKG\nserjJi4j3UEgCXVImAZ01TbjZIBl5rjfegJH5Ih0gNawG2/hRy6GaVK0CpSoIu5QyZJt7WVkZGRk\n3CAN0EKCVoSjLbSzQDjepsoOnrmA0CGWAedWt9FhlzQKSMIhF8IT3GOcZE2d4FI/z4niJe6ZMYmS\nGEen5EcvsK2PcSk4wH3NmIujGSqyw2JhyNHCOq/HjzLdmCaJh8ymbzDv9NlNWqznPs8R43WSNMYt\nfRzfD9Bhm8WKwKg/SGjOQ7CJXV7E7Pw9IvWIZ569Uf1S/QTSX0GGO6TVJxDh9sQMbhT3368MroFR\nvEURlU5EVH4ZGe8CEm3fmafK3glPjREILGHTTztIJCVZ3Q/OFAhC7VOU5ZtElKfGKNReHYxPO95g\nmAwQSmAbOcqizm66hYlNTuYZpF3aySajtE+iU/zUox1fYztcZ5D0mTEO8lDuSYTQaFKGSY/N+Bqh\nCsnZBRpmi4qsMdIjzgZZjlRGRkZGxh2OjNqo/BJm/0XWjfsw/S2qOcl43EOZ85h2kSvXTlOKVrjk\n2sykp3kheIRF8xpj8yAn23UW7cs8MGsQKYeqNaYx+DZn0ge4mh5iqRzTiYooFTNXcnmgcpUz3mHK\nraNE3g5zyUss5AeM0zIXnC9xv3ORdLxCv/kVQrdH5K5xuGlgVw4T5Y+TjFYoVJcx+i8h/ctEC/8j\nAObgeZLK48hwC+lfJWk+M8l2MvJg7m1RqRDpr4BV269veU+oZK+Hb3liVrdbN6ZbdziJjgl1QEGU\nCJRHiE9RVkh1sh+66akxlrDJy+L+42IdEetofwrVS3cYJD0kEltalGSVsRrQZ5eabBLogFHUZ6R7\ne6+b0E928cWYYTIgbxR52PkkSHD1iED77KRbCMSkh086lIwKRmpyPjiDMGOO5O+7LWv248iEVEZG\nRkYGsJcZZTeR3mXWohkKjouUNmn/VfShZxCdMWH/Mu5gg7W+wQG5wlnvIAYJ5ZzDt9oz1NU2J6Y1\niVmiRZvC4AUuBMtsGCeo2wFS5uj4Dsu5LT5WuswVdwaj8Sgi2mUmOcWs7ZFicdb8HPeW2uj+a/Sa\nv04aDfHdbY42IFeaI659nGCwSqmygBhfwOy/QLj0v4CUe9UvDyDSIdK7QFL7xCShXDo3oghUhOFe\nQtlNtDPz3hdJRchwE2Uv3DCV30J58e0kUB5CSHKiwEj1EBiURI1Q++REYXJybs9QLvYiH7TW+NrF\nEvZkCqV8uvE2MREWDoYU5CjRTjaoG1NoLfCVx3ayCtoAAaO4TzdtkySa0PI4bBynnpvGUyPiNGGs\nRqgkRhkaQ5iUKFM0imwm67TTVebtI8xZB2in2am9jIyMjIw7FZ0ilA9aMh71sfJ1oiDEGr9BWn4Y\nnXg4epeLmx22+y6zzoDVscFqPMeJwhrf6y4RhSEnmh2qJYM6u5jhm+zGBTb0/VjE1HOSK16TA7kt\n7qtsMYgK+JWnMNMuLfUm084Qx0p4PX2aozWQvZfYrX8FmQ4Z9rc4XA0plhokjU8xHm5RKjcRYRu7\n89eEi781qX4ZvkaSP4hQMcboNEnlMYTyQJhoqzp5ryrGcM+jnNatiag0QIbbKLuFjLYmpvK7QEQp\nrXDVCEs4aK0Zpl1ysogtHRIiirJMrCNSEgqytC+iIh3ia3dyUg+LfrrLRrzy/7N3X892Zmd+379r\nrTftnE8+yKkDOrPZ5JCURpyRZ1x2lVXlC/vGctX8H/4D/D/YLl/ZGqmksqzx2JpAUaMJJDuwA4BG\nOgBOPmfn/IYVfLEBkBSbZPcMmwDJ/bkCLnYBe72n6vzqWc/7PGgMgQwpiCKZSxnaHhVVJ3ExEz3g\nKHuERDF1Iw7SBwz1gBFDPF/xRvA75PwSEz1masaM9BCHxanFIuSGWkEJnxvxe8yzCa+EXyWvQnru\nlDP+pWd8kp/t+f8JWFpaWlr60sn4cNEo3fseQ/9VmB5R9SYkdhXnYvJhkw922wx6+xSUZTzq8Gn6\nFu+Ub/He6GVOZx5frX7KVrmEICHSh7ikzz3zLTIB5/KGm7PzrKuHXC71CGTCXvSPqDCixh4V16Hi\nz/jh7HW2NjcIev8v3dK3CUTCafeU86UZpVyJrP57jMddSrkIYWLCk39DvPk/ggoXq1+CBkIEqNEH\nmPJ1BBkIgfMfv/FlNWp6Cxusf7GeJjNFZgOcV0To8Rcej/CsPGkoz4kCEztEICjLxXDNUOSQQjK1\n459oKP+sKlQnO0K7jJwognTkRYlTc0hF1NAiJbMZe/oBHosQdpzuMzJ9rHOkYs419QY5P8/QDchc\nSsIUaSSWDJ+QkqiTUyV25jcZ0+di9BI5l2fgOmyoc8zMhAfJLb7J15/lcX6mZUVqaWlp6bfcYmZU\nETm9zYE5Q+Q6FDxHMh8i8ysIr8DJ4R2Ojg8AR5g+5IPZdV7M7fBQX+HOqMT16Bbn6gWMEFRcl2h+\nh0/mrxG7iPUC3E82ackDzpeGNFSXh+4NKpGlpHqU9R6buTGfTC9TXP0KleGf0Yleww9LnPSO2SpO\nqJZCstU/ZDIfUwwsUkjCoz9eTC33y8jZDsgQ61dR448xhcuLdS/O4fz64os6g5rcWISoL7BuROgx\nMhvhhA+4L1bFekacc08bypXwGJoegYgIZY6UxVRyi/mphvInq2Hysvi0CnWQ7iCEJFQRkciRuZSB\n6VJWFaywDE2fg+w+Hj7jdMBOeovUZsyZUfQKvJX/FkLBSPeZmwlpFuMMJDKhICvUVIuZnfJB/B/J\niTyvht9Y7NyTsOad4UjvcWIPqQTL8QdLS0tLS8+bJzOjvAr9SUou9Mgyi4x3kdXr6HSOr0/44EEb\nY0e0VJd3RxepB1O01+Dd4ybnwx3ONxTGz9E0xxQn7/Ph/BoDdYaVcExbr6HMgO3imIuFXW7Er1Gq\nV4nskEp8k7OlIXcmG4jVb7Md/wmnbOMXztLuHLEaxbRKiqz1h8ySjBwTpFfFP/w/SOvfhtzmYvWL\nzbC5s3ijDxbrXlQBnMYFzcff06JGH2OjbVzY+NzHs9i5FwNm0V+lCr/wM8/ak/EEEXlmdvJ0rEFK\njEKRk4Wfaih/UoVaTC0vkNiY42wf6zRFUQNh8Qnp2RNKsoqWmkxn7NsHKBTaGk6yeyQuRSKZiC6v\nBO9gREbHHJNaDWRowCqDEIKGXCEg4lb8PsIpXs69TWxihrTZVGcYuD4PkjtUqLMRnGVkes/0XH+W\nZZBaWlpa+i22aJxeQ/feR0cvkSUD8tkOfvky83RMnhkf7Y8Y9A9oho6HbY+ZKPBGucO/PXyRvD3l\nam2M8Ks06FCYfZ8H2TrH6jUa4oRUrZOmmu1oyKu1h/xweI3yykUCM6SefsB2acpussK49l/wQvbn\ndOII0XqN9qBNzeuzXXYkrf+SuQnw9QGqsE5w+C8x5dexpSuQthFZH1N8ATX8AOvXFkHJJj+6unMW\nNfoQmzuz2Bv4OYmsDzZFuPnjXXz+L/7QM/akoTwQIUPbIyJHKBfzmXKigMH8VEN54mKsM+RlEess\nvaxNRx9R8qpAQEDAyPWI3Zy8KiOQ9LJTpmZCIHxOs0OGpkvoisRqzKrcYiu4wMC0mdsYIwyB85iR\ngFOURJGSavAouUfHHXBBvUhRFhm5ATW5iiHjUXYX5Ty2/YtkIubUHlAVz+d4ieXV3tLS0tJvKxPj\nhIea3eHUXcQkbfK2i/CbJE6S8ySH7S539/dYLysGgyM+Ta7yZnWPPzu5QhqnvFHbpZQvUw/mlGYf\n0E/z3La/Q1UcEeTrtOd5VvwT3qo94vZkg3zjOqQDmsn32cyndJIS3eibXA0/oDOLca1v0R0MKJoO\n5yoZaeOfkFBBxnv4hS2Co/8bkzuDqb65WP0y38WUXkaNPgYZ4cINMPMfC1EONfohNnf2i4WotAtm\njrAxNjr73Ico48zThnJjNWM7oCQrIMDhyMsiiYt/oqH8SRP6kypVbOfspncZmA41uYJC4RPQMcf4\nhIQyQuuM++lNYjsltXN2sk+ZuylOwFzOeU39DmVV5zB9xFRPQQuwjombENiQlreGwOP9+V9hXcab\n4TfQyqCVpaU26dkTOvaYlr9BM1hjYvrgBGfUVZr+83mluqxILS0tLf2WkukpTuU5mQgif4rNNMZk\nhKUtdBITz/b4/r0D1qIpbnLM301e5qvNPX4wusrpLOCd0oc0SiV8Mirph8yM4YPsdymrDoVcgQfZ\nKpvBXd6oHNNJi6SF18iZDlt8QjOvmRnFif8Wl8ptRu1jbOv3GIxGhPqQS7U5uvFPSP017GSPXHEb\n1f7/sF6IaXwLdIw3vYmufg01/hCEwhTOI830RzOhnEON3sfmzuOC+uc+F5F2EHoKMsDmzn5Jp//L\nk7gY5yyhyDGxAxQ+JVl7uuIFeLxsOMIT3tPPWGcWvVLO0s86nOh9yqqOlAIPj6EbIoykoEpEMsdu\nep/YzAlEyG6yw4QhFRqM6LKuzlAJmnSyQ4w1ICQSRaLmCAVVahREhfvJLaZ2zAvha2hh6bsOq2qd\nsR6ym92lKpusqk0muo9Wlo3wDAVZYWSGTPTgWR7zz7SsSC0tLS39FhJpB+uVmQ8eIsIG8wyE7lCo\nnWM6GxPpQ753r03e9Cgw5K/aF7lcmXMSt7g9qPBS9CmbNQ8rAhruLirt8e74DQq+IRcodtLzrNod\nXiyfYoViGLxK4EZseo8oeRnCaXbdVc40Qia9e6TVdxjMNSI+5Gp1iq19lSw6Rzo+Ildoofp/g9QT\n9Op/vVj9MvoBuvIOanwDnMPkzyL15KdDVP4Lhqjk5GnzvY3Wv6TT/+V40lCuUIBgbPvkZQlPeBgW\nq180GYmbL5rHhYd19vFnPHKyQOJiHqafMjAdmt46nlDgJB1zhE9ApPJkNuNO8hHGZIxtj9vpBwgH\n0kkyOeeV4KsEIuQovY8BAheS2ZiZHZIjYk2cYZJO+GHy15Qp8VLwOhM3JnA+RVFjT98ndVPO+Vfw\nhE+XY6pei6vBK0ir6KQnOJHSWFaklpaWlpaeC84gbALxIQO3gU0ScvqAUnWb4WxG2Zvx8c6Y7qDN\n+RLcOAwRUZW6d8C/Pr3ElnzAldqMTDbZkvsU4od8b/QC5NYJadORV6mafS6WTykHjn1zEc93nPG7\nRLZPyR/y6fwya9vXsN3vEueuMbcFzOQh11tTbPkVdOklpuM2lWIJOb6Jih+Qbv7zH61+qX4NObuL\ncxk2t72oRD1ZNvzjlSj/84coGR+BHuOidZxX+pIO/5fjSUN5SI6pHSKQlETt6XBNJdRPNZTHdg6P\nr/mss3SzU9r6kJpq4aRFIJjaMc5CXpXJyTw76S0ya1Au4H78KU5o8jSYiB5n1RVCz+fAPkA6QeRK\nWCwjN0Baj5VwA2MtH8//jpA813NvM3YDpkxoijU65hBtLZveOTKRcGqPqMom5/0rJCScmCMkkrrX\nIBIFRo+npD9vlkFqaWlp6beMjA8ByfE8wlNzjO4R5VtMTY6cGrDf7nPj4S6X645u94R99xr/VesB\n/+uDNyjZLi81Tkm9FTajAZXx+9ydbNDzX6GmHzGNruCSAecKp2wXNA+SNWSxxlo4xpsfsFns8/H4\nLI3tr1Mc/XtOWMeF5xi17/DmaooonEFX32Y87lEOJXJ+gDf6gGTzfwAh8AbfW6x+ifcQZoKNtpE2\n/ollwWr0wRe+zpPzPTBTbP48yPBLOPVfntjOkELhCZ+R6ZFXJZxzT4draqd/oqHcuMWYgydXe4mL\n2U/vo/BoeRtYNJmz9OwJociR94pMshH79h7SeXTNIV19SstbY+yGSGW5rt7iRB8yyOZEsogSkqkb\n4x4vQa55KzxIbjNwPc77VwhUyNB0qYpVxm7AvtuhKTcIVUBfd4hUgSveK0gJHXuExVERdUqqypg+\nRmSc964+66P/TMsgtbS0tPRbRGRDQDAcdfFUkXk8pxTmkFEDPR3i5qf84NYD1nMzkvEJ3x+9xD/e\nOOT/OriOiRNeqTwgzFWo+hmt6d9wnFS4Jb7JqtjB5M4wTDQXwmNeqI+5O2kSlDZohhl+cpdzxS63\nphsUNr5Bc/5d9mZlgtYrHB7f483VBBnVyBrfZjybUA5ShI5R/b8i2fjvwAvxhu+hC9cQWWexziba\nXDSD5848/X5q+D4mdw6+SIia7YDLsIUrIJ7fjhfjDLGbPR1rYDFPe6FCkcMT3uOqE+TlYp/gf16F\naqfHdM0xDbWGERrrLGM7AmcpeVUCIu6lNxbhymoeJTcJRUiTFaZuxFl1BSNT7uub5FyFkqoys1Mm\nbkbkCjTCLUZZlw/S/0TNrfKiepMBbQIRUpJNDvVDKqLOGf8iI90hszHnc9cIRZ6BOSXTGSVVpezV\nmNspczdh07+AIeMwe8QK15/hE/hsyyC1tLS09NvCOUTWJ0umzF2OWeooqIxyaYXT8ZiqPeU7d47w\n3JSKGvMXJxd4cy3l48EGh1OfN0sf0yx4eH7IhvkLeibP99JvsRrsokWLdlxlW93j7cYxDyYt/OI5\nKiHk45tcyI24P19F1t7mHO+xM3BEq2+ze7LLa80xflAga/1TJnFKgT4CD7/752Sr/w345cerX84g\n3GLXnQvXES79iWZwb/ge+ouEKOdQk1s4lcMWns9qxxNPGsoDETI0fXIih5IRmUsoyEVFamrHTwOV\ndprUxYQihxKK2M7ZS+/ii4gVfwvjMrTLGJgOOVmk6FUYZqc81HeRVnJgHjFhzKraZCQ6COlzTr7A\nsd4Ha6nKFTKb0bcdPBNQ81t4+NybfYgGroSvk4k5EzdgVW5wZA9QDs745xnbET3bZt0/S91vMch6\njGyfnCrQ9NdAwNQMWfG2Fj1T5oie6aGe07buZZBaWlpa+i0hkyOwhtOZwsmAyBzQrG/QmSvq3pB3\nH4xoD/tcrGR8cBhQKNZJ01M+HF7k5dxNLlSmjNUaZ/T7aCP4/vh1NgsxiS1wwhZb3OGN+gEHcRXh\nbxF5lrq+zWpuzl5cQudf5HzuEfdPUwprb7JzcsqrlWMKYYG09QfMMkWk91BBmeDk35E2vo0LV5CT\n2zi/hsBDzu8/HrKpF2MJHvtRiPqcIw6ejEWI1nDh89tU7pxj5iaEIiJxGXM3oyQrZCRIJIEskLkU\n7TIKctHXFdsZIMjLIsYZ2ukhXXNKS22gRUZmE0am/7j/aAVpJfeSj3A4hrbPid6nZOtURJ2ZGLIt\nrzBwffb1fUqiRiA9JnpITEpZ1impCqfZAW17RMvfpOHVGdk+VbvCjDGH6S4tbw0tDCfmmBVvjXXv\nDDM74Tg9wMej6a+REwVGrkdVNmn4a3TNMQPdQSDY8LcJZfRsH8bP8HzGu6WlpaWlXy4zBzPmdJwQ\n+go9P6bZ2GZkK+Rch7tHQx7s7XCmkrLf7XMiL/Nm6Rb//vRFNuQDXqr26doNzsoHFN0J3xteopCv\nMNcZx1yl5R7xQuWQuaiThiu4KGDb36UWTOjHgiQ6z5lqxv7pgEL9Eo86GS+VdikVS2St3yemgJfs\n44c1vPb/Q1Z9E1e48Hj1i4/zKsjZvcXOPOcWIerxQMkvHqIs3vAHi9lSz3GIylzK3E0fjzUYAVCU\nZTKSx2/h+cztFICcLDztjQpERCRzxHbO/eQGc2aseJtYYUnsjK45JZA56n6Lnj7lbvoJWWbZmX5K\nWx+xKrbI/IS8X2RFneGQh2ANNVXHAV3TBhQb4Vmkc9xO3id2U67KV1EIUmsoiRptd4SHYjXYYmC7\nIOHl6E1qaoW2OWTixjS8Jpv+OTJSjNSc8S+TuYyH6af0dIeqt8KZ8AopCUO9nGy+tLS0tPSMyPiA\nSQICR2ecsNlo4lRENu6SzfvcfXSbgidJJ3t8OHudP9y8y//56G1KrssL1VNmapUt75CGvsGHw7PM\nwosUshMGwcsUs0OulPaI8lUGukwq67xSOMFL+4swoM6w2lih071NWNrg0TjHpdw9qpUKuvI2iWrg\nZocEUQWv82e4/GVs+WVkfAA2webOokY3cEEFEIuG8CchavAeOn/u84coky1GJ5ReAy//pZ33P9Tc\nTlHCQzjJ2PUpygqZS58O13xydReJPFJI5naKFOppFeowfcTI9GmpTYzMSG3CyPSQzqNFYnAFAAAg\nAElEQVSl1gDBneRjtNO0zRFD06Xmr2KFIXUxZ8Vljt0+Ezt83E9lGdkh1moa3ioOwaP5PVIXsxWc\nxyAY06ch1jh1h+TJseZtMDA9jHNcCl7Bkx593cYKQ0XVKasGEztk5sZseReYuCG7yV0SYsqqSsNb\nY24n9HQbX/hE6vl8XssgtbS0tPQbTiRtrE4ZzzQTE9AqGoqBx9E4pmGP+cv7e8wT2AjbfKf/At/Y\nGPGnBy+QOMf10kMKgaJZdGyN3uX+rMVD+RYt9piGl7HJiAvRHivlAidxniRY4aXaEDtvk5djTvU6\n1dUXSIY3QeV5mK5zVt2iWWvg8hcXs6KmJxSjPH7vP+CCJrr21cXql7SLKV7DG32IDWrgLLZw/icr\nUV8kROkp3viH6MpXQT6fv/6eNJQ/GWsg8SiKRYh68hbejzeUa5cR29nTQDXTUx5ldymp8uNeKM0k\nGxEzp6jKlGSVg+wREz1gbqY8TG+Tl2VW5DaxmFIURaTw2bX3qLgGnifJbMKQLlVaRF7I0AwZmGPy\nqsymusbQdaiywlxO6GVHrHrrzMSYgemx5p2h4bUYmC5jGy8ayVUdQ8rI9FhRm2gyDrKHJG5KXhVZ\nU1cxLqOrT1BCkVN5cqKAJnvGT+ezPZ8/SUtLS0tLvxxWo+I9DiYRRuYI0x6N8gbH8zxNdZ+/vT9m\n2O/TKqR8eFpkrVbmXm/EYVLkeu4WZwtzxmKDM8mfcaSbfJh8hc3cLiPWGGQeF/x7XG1Z9uKI1G9w\ntZZgZ4e0ZJv9ZIPq+it484eMUs2J/ybr5iM21lu4oElWfoX5pEs58vEGf4NTEbrxLTBjvPlDdPmN\nxRJivwEuxRYuL96qcw41+gCTO//5G8vTLt70Hrr69adB7HnzJCB5wmds+hRUGeM0Vljyovh0AOeT\nMQb/eRXqIH3I2AxYUZtYmTG3E8Z6gIfPqr9JYlLu6U9I9Jz9dIdEZKx4GxhpsNZQ1yucqn0Cl6em\n6ggdMDQdlPHYiM4xyvrsp0eAYF1cYi5HxC6mLGr0dZsyVXwV0HVt1tQGK8EWEzvkVB+Sl3lq3jae\n85jaITXVoqzqdPUJEzcilCFb/iWEgKHuPl1lk5N5LJah6eGcBTaf6TP6LMsgtbS0tPQbTE1v08uq\nSCYMJ0MubV9iqBU5vc+Nk4Re5zaFKOC4PWbov8Nr6mP+1eQdLvl3eLHa4dRt8Kr/t8Qu5O/GL3C2\nPKafNWjbdc6J27zR7HM4b5KKKudrPiK5x0bQYX+2Qq5+lbzo0Rl16RX/EZXZDzm/3gKVJ6t+nfFk\nRDWwyOFHYCx69fcXV2/jTxarX0bvY1UdYWeYwjUQ6mmIsrlzn3tOlIgPkenpotL1HHrSUB4QMXdT\ncI6CrJC5hJwoIIUkcymZS59WoX58TtSTKlTxSRXKaAbZgIyEslelKMrs6vtM9YhedsKR3qcuVynL\nAhZNXpaYuiGn8oA6LZTnMzUj5qrHmtokERmn2QFzM6Hs1fEJSZhSE2v03TGKMjW/xsgMqasG54M3\nid2cU32IT0hTrVFQJfq2S1mVWRXb9E2bsRmihGLLP4cnfSZm9PS6sqJq4CQj00eT4qwjcemzflSf\naRmklpaWln5DibRHmjmSaZuTOOLyxnmcTZjPU8x0yP7uhxhRQsWPuGne4g+a7/K/7X2TNR7yQrXD\niVvjanCPkhjyl93rNIt5erGmzVk2vAe8Vj7hKFsjETnWKzmi7BEr/pCTuIwsn2O1Itjd3WNe+h2i\n2UdcWS9CEC1mRcUxFTVGTh8h9Yis9U8BhTf6W3Tl66jRhzivjjBjTPGFxVXc0zftzn7+EDXbQdoE\nU37tyz3sv6fULhrKAxEyNoOn858s5ulbeE/6pfKy+BN/Ns5wlD5iZqeseltYkTGzY4amR0iedX+b\nqR1yN73BxAzYS+7hq4it8BypyxDC4Gc+fdrkTYl8UEJaRdsc0rBNyn6FbtohcROU8liR55iJAZHL\nk6g5Y9OjqhrM3BhpIy5H1xEIBqYLzlFXLSqqxsj1mbsZa/4WI9PnQD/AOkvTWwSsmR0zyvp40qeq\nmngEjE2fmBmeC0htgi8jNvwzP+8on5llkFpaWlr6TeQc//O/+rd0swp/9I1LnGmG5LyEg0mOcnqX\n797ZI7OKnD7k+5Nr/O76Pn+8+xWKYsS1codUFNn2jlkT9/jrzmX8wjrzdMpQXKDqDrleeMjIW8dl\njly5TkMdUXJD+qlCR+tsNBrs7n6KLb+EHj/k+hq4oIGufY1xYii5U5QeoOK9RYiSebzBXy8qUdNb\nWK+E1ANM6UWQ/o9CVO4M7vP0RDmHmnyKVdEiiD2H5nZKmQDjDKkbU5JVUuKns6Ce9EvlRAHDT04r\nn+gR+9kDyqpC01tDa83AtdEYGt4KgYjYze4yNVN2kwekjCl7TSJyuMyhhM9IDQikT1nUyckCXX2M\nELDun6Gf9TF6xMxNaKh1EjHBisU13tSMKVAiEXNmbsqmukBOFZjaMRmaiqpSlQ3mbsLIDqiqFikx\nx+ke2qWUVZ2q1yC1CZ3sCCkVFa9BQMjYDpm5EyJRwFlLJhJW/C3yqvCsH9fPtAxSS0tLS7+B1PgT\njrMmnpmSUymV4gons5CavsH37g+Ruo02ATvDFtv1gP90vE5sPV4t3qESaoQQnBM3uTXcoOtfpGmH\n9OQFPDPixdIOhKtYB7NwgzcrPWTcI9EJmdpgfeU8+4e3kWGT3njK260+5K9hSi8wMxE5s4dnY+Tk\nE7L67+H8Ol7/79DlN1Gz+1iVQ2V9dPHlxboWZ1GjD79AiDKoyQ2s38I9h4uHtdMkbo5PwNSM8PAI\nZIj5sVlQiwGcjrwoMndTPOE/fVvvIH1AZpPHIw00I9NnasfkVYEVuULfnLKvdzhJjjgye9Rlk6K3\ngY9HplJsZkncjKKrkvPyZDbhSOywIS+SMKOrT9EmRXiKumiSMqclNumbLqEET3nMxJh1b5vy4/1+\nA9OhqMqsqi2sM4xsn7KqATAwbeZ2SklVqXvnsGg6+hjnHFWvQSgjZmZM35wSkEfgMXVDGmqdklcB\nINYxh/oBLd5+Zs/tZ1kGqaWlpaXfNGmXaSopMSBVAVsbl5kkCWH8iI8PZ8zHd5lkZeazLrPwdSqz\nffbiF7nq3+RSsU/HrvLV8G85mFe4aV7ibNTmhHPMteZ6eId6qcI48xipFu+sxqSTDnlGTESL1toV\nTk728KVkPy3ztcZDXOllXG6LuVzBj/fxhUaO38PUvonLrf1o9Ut6ihMSlXbRpZdBRYtQNP4YG219\nvhBl5qjpXWy4iQs/59t8v0JPGsqlk8wY01KbjEUXhcKT0Y8N4MzhhGXupk+rUMOsz5HepayqlLwq\nmU4Z0iazmqa3ihI+u9kdhrrDTnIHn5BWsEZEDrBMswmahFBHlMIqoS3S1QfkWQSgtj5EOEkq55Rc\nlcxl+DKPJw0zNyHycszdjKpo0vBW0CJjYPuEhGz65xFCMrYDCrJITTWZ6BETOySnCpwNrmKFYWDb\nZCalJGtEXo6UhONsj8Dl8EXI1I2oqyYVdRYhBFprdvVdlFCcCS8924f3MyyD1G+A4E///Fn/F5aW\nlp4XzuFN79CfBsQ2YiRWcFmP8UySDLt0j26QuRIq63Are51v1j7mj4+/znm1w7XyKUfpGq8VPmKW\nKd6fvsT5woBDvcnYFbkS3eBsPWBqPHqmytc2LfPZERXajGhRaV2hPx4idZ8d+xLfrN1EVN6AsMo8\nPI+ITwikwR+8hy6/hc2fRY4/QYdbCDtFmjlCj9GlF0HlH4eoT7DhFi5s/sKvLrIhcr6PzW3j/Nqv\n4LA/P+sWocgjIHYTFD55WUK77Glf1NOG8sdVKF8EP6pCJffR1rLib2LR9PQpiY0pqCIrfou2OWCg\n+zxMbjPWi+u0yM8R2oCB62CtQ0hJzhQpBRVmbkyXQ1b9LQa6y9CkZC4jkjlCmUMpyMsqxhiMAYkm\nJ4usedtI9XhulVOsemvkZJGR7eET0VArTO2Ek+wQXyi2ggtIIZmYAbGbE4oCVb+BxdLRRyg8IlFg\nbAeUZIXz/tWfClDb4UW0y3C4Z/wUP9sySC0tLS39BlHjj9ifV+jP+mTkKHkTDudlivMPeP/BDgUJ\n/cmEm9MX+PbKHf7F3ldoyTZXasd03QoXw3uURY+/HF5nPac5Tpv0shpXc3e5Uk6YUqGTFHnjXJ54\ntkfVnTJ0dUr1bRJC7PgGO+5t3in9EFl/C+GFzPMvYeZdijLB638PXbyGLV5FTm6DV0EIgUx64DJ0\n4Qp4xcXYhslNbLjx+UJU2kGkHWxuC+dXfgUn/fmlLsE4jSd8pmZISVXJXIpAkFcFpoyfNpF7wmfu\npk/DVT/rcKIPqKoGJT8k1jMGto1A0vLXsdayl93lIN3jIHtATTaoBA3qosmUMR19glIST4aU/SpC\nSzoc0nCr+NKnY49R1ieRc0IZIXDUxRqJmZCRoYUhkj41uUVORFgBmU0oqSoVVWdihozNkKKsLa7s\nzAnWWVa9DUKZIzYzxnaApwLqagXhBD3dxmHJyyJ93SWSOc6HV5FCPg1QAKtqG6kEAkEgIlIXP8vH\n+DMtg9TS0tLSbwiRdBjGjumoQyVfRauUmVYU5h/z3oMTcm7I3jziJClxrTrjT/YuoZzmcnEPJyPW\nOWA7OOKvO5cIgiIdHdA2TbbCPV5ojBmZKqM45OpmHeaPqNg2Y1smLDVxuXMkB99hx73NV4rvkmu9\nBdIjKb1BMhtSllPU4PvowhVs6SXk/BEIhfNKyPkOOIWNtiCogs1Qk9vYcA0Xtn7h95bxAZg5LtrE\neaVfwUl/fjM7wcMncwnCSUqy+hPDNY0zTO2YiPyib+rHqlC7yT0EghV/A4elkx0Tu5iaqlMUZdr6\niL7ucjf9CKMtdb9FXhaIbI5D8wgpPEIREoiIstega47ACVpyg445wnc5NBnaagIiKl4NjWbODHyB\ncpIV2aSkqouKGjFFWWZVbhG7KQPdIS9LKKmYuCGJnVNTq5RUmcTEnGaHeNKj4a8inGKgO2QklGSV\noe2hzYCzwWW8x8NRHyV3MM6wqraQSuKLEIDMJUihyMnns+F8GaSWlpaWfhPYDDfdoTNypE5xcfsF\nlPsLyszZORbMR4ekLiSeazLV5GAyYyyLvBp+QivKSIzhUumQj/srTOUqnhD09RoV2edq8YBUrTLP\nPFZrLcr2AN8OSYxEBiVyra8w3v1T7ps3ea3wEcXW6zgvhy5eZzKfU5MD1PADbO48tnQNmZ6CnWOj\nbdTkJk6VwC/jwhWwKWp2Dxu0Fn//eZxFxrvgwEbr8By92fVkhYvCY2pH5FUJ6wxOLBrIYdFQnjqF\nJ3xSFz+tQnWyY7rmlKps4AufmZ7Qt6eEYjHSILUxu+kOO/FNuvaEOqtIX7IqNtk3D+m5EzwRIYWg\n4rXQNuEwe8Cq3GJIl57toFy4GC+AR+TnyHkFsixDixQfn6IrUVYNpBTENiYUIdveBYzIGJgOoYgo\nqzpzO2FoJlRUndVgC+0yOuYYZy111SIQIQPdY8piCKcxGQPTZd07S6QWS4ifBKgVuYnyFYGIcFgy\nl6CE99wGqCeWQWppaWnpS/RH//t7APwv//zNL/XfUZNP2RspRrMhL197Bzc/ILE+TbHH4cmUgi/p\nDjU72SVeyO/z3dErXAzuc6Y0pJ+V+Er5IXtDnwf6Is1ozm56DsmMV4sPQFWwMsDPVTmXPyFLU9BT\ntF+ntPW7jA++w4P0Ci8WblJfvYANa9j8BUapR5V91PgmNlrHFq+AmSGS9mL1y/hDrFcDGWBzm2AT\n5OwB1m/gwtWf/4VtgkyOAYkNW6ByX+r5fhFPGsqNM2SkFGQF7dKna1ycc4/7pXyssygUoYxITcJu\ndp9ABLS8dZyznOhDMpvR8FYJRY6OOaKdHHFXf0zkCjSCdSqiipBwJ/mQ0BUJZZ68XyRvyrTd3qIv\nSTTockTOFYkZYIC8zFNRTaxNmJs5vpCUZY28LBLKaNGT5CQr/iYeHmPXR6KoqDqJTejqYwqyxFZw\nEYelb9pkNqOsauSDAqNswKk9oO6tYG2RTnbCur9NQS2qhnvZDqmJqctVIj8iFDkMiwDqCf+5D1BP\nLIPU0tLS0q85ER/TncR0BmMunLuCcmMOZmXOynuEtk9NGXZmdW4na7xZesSftl9iLTzmxcID2skq\n14sPmaYpH81fZis/5EF6kVjDV8p3iaIAZMDElXmjOWI8F5SyXaZqhfLW7zM5/R4PJjXO5g5Ya2xg\norO4sMHIlCm7R6jpHaxXxRav4ITAmz1Al17HG763WP0iLDZ/DswcGe+BX/2FIUroMSIbAmDDNZDB\nr+CUf7EfNZT7TO2EnMgjhI/F/FRDuRIexmkKqshMjDnJ9hiaPjXZQgrFxIzpmxOKokIzWGNqx5wk\nB9xOPyQ2MxpqBel7NO06992NxTR0ykilaKo1Jm5Eh0NqrDIwpwgJWEWXLjkT0giaWGuZ2CGBCMmL\nIjmVpyjLKHwyF1P1GxRVhXHWZ4am5FXBSvq6g5KLRnIhBGM9InVzIpmn5reI7Yz9ZIeyrFNVDdr6\niJa3zlqwBSwCVGLmNOQaUbBKJPJkpE+vNn9dAtQTyyC1tLS09OtMT4hHe+z1Ehq1KsVSjd5ojJze\nwLNjIjthd7rB7rTCi+URf3l6maKIuV66x0Csse3vUVEdvtO7ykZ+zl52jn4W8nr+Js28Qiqf/bTJ\nP7sKO6eC1ewWI+oU17/OqHeXk75jMz/h7GoVU34JpGIiNyhku3iz+yAjXPEyzivhDb+Prn4db/AD\nTLCCtDNM8SUwM2R8CKq0CEY/h0i74CygseHWc7N8+ElDuXCCGWMKsowhIxA5lFAAxHYGCBwOhUco\nIxKTcC++QSByNLxVcHCYPgLBohLkfDrZEXvZAx4mn1IVLcpBlabYoO863DTvUlI1HI6ybBC4iK45\nIi9L+M5jQI+AIn19gk9AzauR84okLgbhKMoSvvApUiOSOVJm5FSeNbXJxI5oZ8eUZJmCqDIyXbQz\nrAVbiytHM1n0gAmfhr+KwXCQPqIgSzTUGh17SEnUuBS+hBCCQ/2IcTagrtYWYxlknsTFxG6GL0IC\nGT7bh/j39Hz8BC4tLS0tfXHOIeN9dgeanIrZPPM7JKOHzKYx37nZ4Qez60xdgXySciY35dN+hsbj\nK+UPMeSo2CPOlvp8v7NNJado0+I0K/JCdJu1okH6Po/mW3z7fEJ7KlhzHzFwdcqt6wzjlH73iFIu\nz4Wmhy2/hsAw9q8SZsf48S4Sgylewwari6nlla+jhu9hgjWkGWDKr4KZIpMTULlFn9PPIeMjnIwQ\nZoTNnVns3nsOzOwEiSJxMT4BeVnCuR9VoYwzJG6OcAIheDp08yh7RDe21L0WzsHI9BiaLhXZpORX\nGese7bTN7ewDnLU01Sa5oEDFVrmZ/YBIFyioGpHMU5UNhrbDhCFFUWHoBhRcnrEZMGNAWdUoqhqp\nTZkypkQZT/oURImclychRTrY9C6SiZi2PiYUEStqg4HtMrIjVrw1crJA7KYMdR+BoKZaSCE5yvYI\nRciK2qRjD7BCcz54ASnk4wDVp67WORteIZI5YjtnbqcEIkLJ6Fk+vn+wZZBaWlpa+jUl4332Tntk\nswGXXvw9iPc5iSO+f+tj/sXOj67Hpjbi1jSiojK+Et2i6EOmx1ysTrjRK5CJKhkF9qd1tqJ9totz\nPE+xl2zz1c2EUZxwRj3iMKtSrG4z9s8y3P1zVNDiSn0C9W8iBEyDKyjdI0x3kXqIKb2MDTZ/tPpl\n8jEuaCGzDqb8BugJMu2ADLHR5s/+os4h412s30CmbWzuLIu7qmdLu4zUJQgnmDOhIMpkpCi8p2+i\nJS5G2wwhBL4M8YRHbObsZzvkRYma36RrJxxmD/FlwLp3DoflKHnETnKH0+wRTbUKvseWOM+D9Cb7\n+j41tYL2E1bUGkIKTvQBeVdAOoi9GV4WcCoPyMsKDW8DbVMmbkRJlMm7Ip5SlL0yAh+BZEOdxWLp\n2hOUkLS8NaZmzKneo+atsabKxG5G37QxzlCUFXwR0jGHSCSrcpuOPaDHCdvBRTzhc6L36WdtqmqV\nc9E1QhER2xlzOyUUOeRz8Ax/GZZBamlpaenXkEi7/E//8q+QJmUo18g++htSKzgvbvHDyYXP/MzM\nWHyzy4NBhY3wlFsHU+6ba2y3Am6PV2moHteKpwSeosN5rtUTlJ1SdG0mOiTKl5hVvsF051+TqVVe\nq/WRjW8CiiTYxukpxfQhIj7AVN7C5rfxBj9YrH6ZfopTJUTWxZRfQ5gJIuuB9H5+iLIZMt7HhuvI\n9ASbOwdCfCln+kXEdobj8av5KPKihEE/rTY9aSh3zqKERyTzAOxnO2Q2eVqF6mcd9vQBq2oTX4UM\ndJfjdI+72Q08G7ESblJRNbLM8b79K0pZlbK/WO1SZpOeOwYDOZEnkwm+ydPJDlDCY9XbfvzW4ISi\nKJOTRZCWiqwRkUfblGpQJ0eBvj7FYGn6q2iXcZodUpZVtsPLpC5mZHqLsQ2ySF4WaZsDLJYVuUXX\nnHJq99gIzxGKiI4+pqvblGWFi9FLePjEbsbcTYlEHvEcPL9fpmWQWlpaWvp1YxNMfIrRBiG9Rc+S\n69OgT9GcMHUvf+bHND4D02TT36ds+nxiXiUnpjycXEHamJeqj1CeZOqdpRmkNIMRwhp0MiUoNrGr\n/4zkwb+hp1d4a6WHarwDKkfqrzDXjop+iJg/xFTfxoZreKMfogtXUPEeVvgoM0aXXkaYKWRDQC5m\nR/0sZorM+o9DVBsbnXnmIepJQ7lEMbdTCnIRoKSQhGJxRaVdxtzOkEgiWUAJxVRPONQPKYkqkcqT\n6pQj85ANu8qWd4HExhwkD7iX3GRkelRlC9/3WXFb3Ek/JMnixTymSFJXTYwzHNtHRK6AFgYPRZJl\n9NilLmoUVZ25myKkou41SVxMnhJlWSN2EyIvouJt0NddRnZATTUJZEhftwlEyHZwAU3GVE9ImOFJ\nn4Zco2dOGbg2a/5ZxqbPoX7Iqtqi6Jfp6GPuZwfUVIuL4TUUHrGbocl+IwPUE8sgtbS0tPRrRsZH\n3Dro8kfvNDhz7Q/IJo/Y7dfRB/+O+8chDZ3QSX96HEBJJbzSGHM+n/IfT1/hxVrMHfMy8dzxtdpd\nQl8gvBZOKi6X20xlg+L8fVJVIbr839O/+Sfsz0p8faNH2HgVG9axssDU5qmZO6jpPbLq2xA0kLN7\ni9UveoizGolGFy4jTAx6gsAuruh+BpH1wGqsX0dmXWxu+8s80s8ldQnGagxPxhosQtST4ZqwqFSl\nLiEQEZFcPIPd9A7WiUW1xxo6+pipHbPunaHil3hoHrKX7LIb3yb0CtT9NVbUBj19zLvmP9C064R+\nRF4WKckKp/oY4QShK2A9i9RwzCPy5Nn2zpGQMZdTajRJRYyyHhveObRI8KVHS15m4oYcJ7vkZJkN\n/wx902ZmJqz6WwgEczclsxmaxeiFoe6xb3dY9bYICTnJ9qjKFufDDUamx435u1RUnSvRq0gkiZuj\nyX7t3sD7+1gGqaWlpaVfsX/ITCkZH7HX7uKlXVYu/S4ibbM39Ik6f8G7x4ZmIeDMZPiZQeqV/F3W\nc1Pe7bZYKaQ8zC7Rjn3ertwmLy2FKM+eXeH3m/focp769LvMKSA3/1uS0x9wd6D41uoJUe0VTO4c\nSMGQFer6Fmp6l6zyFfAriOQYVAmBRuoRCIWNziJsBmaOIMNGPydEJScgA5zKI7Phz7/6+xV4ck23\nCBgz8rKIwyKEeDpcczGhfIRAUpBllFCM9IATvU9VNkFa5tmcI7NLRVTZ8i4yNSMeTg/4cPZDJmZC\nLVijoErkbI6byXtIo2iqdbzAZ1VtM9ZdjuwjIlEA6XAGBllvccWmtvEETMWEFpuLSpDSrKotEAIP\nnzVvi9jOOMoeEcqQzeACA9vhVB+x4q3jiYDYTbHOkLqEivz/2buzJzuT887v38x3PftS59SOQqFQ\nWBqN7kZ3ozdSbIoUKWpG23g0nKB8YTs8Djscjrn1PyD7QuEIO8K6VIQtjeShwhoNqYXWcBPJ5tZc\negcaO2rfz76+S76ZvjhokM2myJHUBXaT7+euDgo478m6qAeZT/6eKULGbEd3qVmzuPYszWSfvCxz\nwl1lkHS4FrxE3ipz3n8cgMgECOQvRAH1lrSQSqVSqfcJoXp0B2067X1m586S9W12GhFO/2Xe2O1R\nchNGqsgotngod8iNYRWNRcUacdZf58P1fba6Bsf2aJs51gdFHivepugG5DyXu/oi/6z+KgfmDPPh\nV+npHPbib6DH27y20+S5yg6Z2mMkhYfBKDqcoBTfQg5voIqPg51HxH1ATIqgYBNkdhKYiQEdI0w4\nKaJ+3DHPvVuI2q0iTIJIhj/1Jt9xe6uhPNEJiVD3Yw1+eBcqNAHjZIAvc/d3odbCG1jCYcqeJjGa\nQ7VHTMiie4pIhxwkm+yMN+jpA2IkM+4iFTPFdrLGnfiQKTmNcQ1VOUVGlthTd5B6MiZFYNMLWwzF\nkLJVImsViYgoWTWywjA0PaatBXzLR2hBxaohsdiPN5HSYsE9xUgP2FObTFkz1Jw5RmZArCMiQnyR\nJS989tU2ZavCjL1IJ2ngSo95d5mRGnF9/AoFu8xD/pNo9C9kAfWWtJBKpVKp9wOjIdjlzu4Bc6US\nU/Vz9Dob9NtN2htvoBOXUjnPp+8sMG+1uDuqUeOQ5/wXEdkZThdiguEhR8kpcrkSN9vTLOd2mMu0\nKPsed80TfKT0Eg25ynz4dbpxBrv+HEZYXF1f4/mFFpnSBVThEQSarpiloNZxRm+SFB4FO4swCSRD\njD+PHNzAOGVwSpMbdlpNCqO/r1ncJMhgC+0tIpIBmPinp5sfs0CPSO4VCZ7wcYQDPzTixRjDQHcn\nGU5WFSkkHdXkSO1RldMkIqanehwk20zLGTLWDK3okE7SYC2+wSAesFo4BSpHpKJhyUMAACAASURB\nVMe8pr5LLilSsSf9SnP2Mvtqk1bSIEsBLIiSkB4HWJbFNLNokeBKm7Ko0KND1UwzbS2SiISCLJOx\n8xzFOyQoZu0lEhQH8Q4lq8ySu8pQTwYmxwRYwiFHmSO1S9bKMuucoJe0iExEzZ5Fac3N8etk7TwP\nZy6ToAjN+H0xxuU4pYVUKpVKvQ/I8Savb42oeUMqc88Tj3bZ6WjkwV+zOyxyspbnc5t1SqbNdlAG\nN8OH+QI7yQKP5xQFvcGLo1VOlB2+3ZonL9o8lN2m4NhsiSe4XLhO4M5SU1cYRBZO9SGS7Aq3b7zA\nxfw2MwtP0bYuIIRkaIpkTBtv8Doqfx5sHy09rPE2Se4Mdu81tFsHy8cIB4xBJIO/v4hKxveayU8i\nVBuMwbg/fVjxcUlMQmBGYCAiICsmu1CO8O6HayoT003a5GQBX2YwxnA7eJOslaNqTRObiEO1jcFw\nyjnHSPfZUevsRhscqm0yosCSv0rRqnA9usYw6VAVdXA0s9YiymjWkjdxtUfBLqKNpqWaaBQlqzrJ\npLJgxizTFUcoDCftM2iRkJM5ilaVpt6nHR1Rs+bwpE8rObzXSH5qcotOD1E6RqPIywpHyS6eDJl3\nlujrFl3dpGRVUYnmdniVnF3kYvYpYhMRmNH7aozLcUoLqVQqlXqPE1GDzcaQnNqkOPcEtki41Ygo\nNz/LC0dlTlYzvHyYZRgaHOEzkkU+kfsKNweLZGWfWavPi41llvIx3++sgom5XLpLxpMcuhdZ9g/I\nOArfHhB0Osj8ClHpeXbvfIGT/h6z8+eQU49j+oIg8ZAiwR98D5VZBqeAtqvYg2uo4iXs3vfR3gwI\nCyN9QCBU91720zuLKBF3EDpAZ5YmqeVCYNypB77GbwlNQKIVMRE2Dhkx6Yd6K1wTYJB0iYknR2ZC\n0lKHNNUhdTlPxJhu0qah9ph1FrGFw168QU+12QxvMdYBM84CBVmio5u8Pr6Ba0rknTK+8Jl3l9iI\nbhElESW7ihDQjjrEVoBjLIpWDWEZ5jlF17QYyBYL9vK9XaEsJVmjqxtsRXcoWVWm7Dk65oiRHjHr\nnEARMTZDQDDSPcrUaZo9WuaAOXuJge7STg4pWGVIJOvhDXw7xyPZp4lMyFgP0wLqR/xM0rBu3rzJ\nxz72Mf70T//0Z/H2qVQq9f6RjOl1D+h1d8iWVyhW5tg8bJIfvsRLmyGVfI5BbLjamqLsBhzGVR7P\nX6GrCzhmRNXp8VqrxEJecyNcZRC5PJN/E9vShJnT5F3JSfcOdmaepPMmZGYZT/86jY2vMSX3WZxf\nhPKj4BSJFRjpkut/E5waZGbRTh178DqqfBm7+z20U58UUVYWhP1DKeTv/HUjoiMwCdqbRYSHIGyM\nU/0ZLPLkmG6kBygTE5jR/R4oWzj3+5600TTUPlLYVKwaRhtuB1eJTUTFqjOix268ydD0WHEfYqQH\nbIdrrIU3uBa8imU5rGQewpIWG+YODbVHjRlsaXFSnsMRLm8Gr0FiU7LrhGpIIz5Ai5gCRXwrR82Z\noSbnOBA7TMkZFtxlsjLPrD2Pg8dOdBdtDEveGQSCpjmgYk0zZdcJzAihLUZ6gEBigAO9zbSzSI4C\nreQQSzhkKbIZ3uZAb3Ix+xQnnBXGehL5kJE5HPHemG34XvHAd6RGoxG/93u/x3PPPfeg3zqVSqXe\nX4xBDdbYbPSpZlymZ07Sam0SDVrs3X0F5Z1i3h/xp3fOMu012OzXWMx3qFlN+kmGvB2CSch5Drtm\nma1Blmert7BlQq40S0PM8HzmKwxKHyF79BkSu0Y4/Rv0d7+PHW6wslDFKj+GcarEiSKUVUr9FxBW\nBpU/h5FZ7N7LqNIHsDsvop3a5DgPC6SHUB20f+LHjnKRwQ7aLoGdR4b7GCuLsYs/g0WeHNOFOkCZ\nSQJ5ThbRJPfDNQGGuk+oA6asGYQQHKpdeqrNjL3IyPRpRUd0abBgnyI2ERvRDTqqzXZ0By00S/Zp\npCU5ivZp6X1yuoTv5JnJzhHGNpvmBiYWzHjzRPGYptolwZCxfQSSglOiRI0j9qmYCktyFV9mqNg1\ntE7Yj7exhcOit0JgAhrxLmVrmrJ0iEyIYzIEeoQWBolNU012oCJrTFsd4QmfHAW2o7v4MsPF7FP3\nx7g4wsN7n49xOU4PfEfKdV3+8A//kOnp6Qf91qlUKvW+IsZb3D6IqFg9KvUVgmjMditA7H6ajegE\nq6Uxn9s8iRN36AZZXM/ig97XOQiLzBYdKtYRDVVHuXWuNKtcKO2TpU2tXGAnOccH3C/RL/0quaPP\noESeeP5fMuptEPdvcX42hz31GMafITEwknXKw28hdIwqPAk42IPXUKWnJ8d5VhGcIsboye091Z0M\nFf7RIspo5Hh90kNl55HBLtou/MyKqLEeEpqA0IzxZAZbOFjCun90ZYyhqQ4QCKp2HaUVt4OrSCMp\nWzU6usF2tIYSISed8zTULjvROpvRbW6N3yBnFVm0VggI2Q7X6CUtilaFjOtz2rnIQA+5G1+jqEuU\n7DKt+IiuboOQZLRHzimwIi+Q6ISR6bFkr1Bz5ph256i6dZrqgFZyxLSzSNWeoakOEcC0swhCI4wk\nMhEj3cXGpZs0yZCn5szQMx2UTnC1z4Ha4VDvcjH7FIvuyr0CyiUjc9gi7QL6SR746ti2jW3/579t\npZLFtn/yYMp6vfAT/zz1j5eu7fFI1/X4vNfWVlqTvqB/8HNFHdbaY+byAwrVs9Sml3n19l2Wh3/B\n57uneWY5w1c2K3THgpIv2E+m+N3yX/Ha8DSnqoJZbnEzXkILm++2llgtdzjpbDJbzrPhPcPHcl/D\nqX+c/OHfouws9qlPESUxzfY1nluS5Jc+AMUzGCtDN/Ip9b8D2Qjm/zmYBPq3YfpD0LsGtQpkFidp\n5ZlliFqQOQfSeftnSkIY70H94qRfargFlSWw35l5ddwSkxDoMY72MGgysjoZ8WL9oBdqmAwZJX3O\n2itIKdkNthjqPg87F+jETbqqTZB0uZi5SCdu0FXbDFWb7dFtLNvmUvEyMWNaUZMhHYomiy1dTmZP\nE8cxG+oqWVVgpbLIQA+I1BgHQ0ZmyYkMS5nzDHWXUdLknH+OnJUjb5XJWwWa8QEj3WfFOUnWytOI\nD/Asl0X7PKEe48sMY20RJAF1SvR0i6pT44ScZZwMkMImqyyOkl1c6fMB9wMoK8YYw5Ss/9zMwXsQ\n3vNlZrs9+ol/Xq8XODrqP6Cn+cWSru3xSNf1+LwX11YnBuAf9lxa0Tm8SrvXJZPJU7YqvPj6VXKd\nb/HldYfZSoE39kNeP6gz5RyyGZzkE+VvcGU4T9FVTMtdvtuoI0zEjfA8M7kxq9ZVSlmH6+ZJLtkv\nEzlzJPvfRo96hPXfQPWhsfZ1Hps6QhWep6nmMD1BNxhTVm+A0+DI/RDysIEM91GZk1hbb4AZo/0V\nZGedJLOE7GxNms1HARDc/0hC9RBqgPbnYdS/F3UwAyMFPNifWWiCSWaSiciILEZoxgIc4TKijzGG\n9r3cpLwssqOabKnbTFkzaByumxs0oj1Kdo2CnOVK5wqxDtmM7tBOmsy48zg47Iy36SddVBLh2j62\nU2DOXuB68zpBPKTuLuJlJVudXUIdIRB4wmPKnSUr89wOblKVNaryBLYqYFHgSLe5Ze4wJacpWnPs\n6QaCFlPWNAEBh6KDQLCdHGAbj6HpUbBKZESZI9NBTjLmOVQ7+CLHsnUWZUXs0bw/xmXI8IH+PP4h\n3mv/UYL3QSGVSqVSv2jG7Zs0ekMybo7paoW9Zgd7sMXdjWuQeRJP7/HCwXnyVoedcIELuTUirXFs\nyWphyBuNHCtFm89sn0Zh81ThDfKuZMe5zEpmj2lvRJw4MNoiLH8EnTnJ4d0vc7G4TX76g6jCQxi7\nyHAUUKSBPV6Dk/8KebgPaoD2ZpHRESQDkvx5rPEGSW713ly8aZBvb0YWURMwkyLKGGSwgfYW3rlj\ndczeSihXOiYRiqzMo0l+ZMTLmIHuUpY1bGmzG28Qm5AFd5lGfEAv7hDLMcv2eXb1Ot2kQ1PtsB1t\nkrV8lq2z9E2bkRrTEy0c7ZF1C5ywztFK9rkSf58iVar2DH3TZJw4RCZGGMO0P888J9lji0QrTlgr\nFK0yBavCSA/YNesURZlT1jl6dGjrIyqyToIiFiG+ydNK9pFYhCbElg4zYoHQjAl0SExMMznAw+Oc\nfYnEikl+zufgPQhpIZVKpVI/A//mj18C3jkuRg332G/38F2PUtZhkBTp9O5itj/DXfERPlBc48/W\nL6DCkJHJUHSHnPevshYucX5Ks9EaUvUzXI+W6eFzSbyKZym6mUtUfTjvvErP/yW8g88xLj2LKD3C\n/saLnMusUZ17ElV6DOwS43EPX0Y4vdeJ6p8A1YMkACsHOkCGR6jSY9jDG6j8hUkR5UyB9N72eWSw\nh7Fzkx4oo5HjjXu3+H5yy8a7LTYRgZ7Mf3OEiyPct414McbQ1S0sLGr2LEM1ZC26zrS1gBIRe9EW\nLX1A1ZkmS461+DpxkrAZXWNshszZJwkZ0TFNhrpPrBIyrs+0t0hO5LidvIqtPaacWbRO6Kou2sTg\nKfJ2kVXrAg29x57YoG4tULKmKFplEpGwF63jywKLzgqhDmnro0mWlBRoFAXKHCU79E0PjcISMGst\nEjAm0gEhAY1kH58sK/YFpAUalUYYvEseeCF15coVfv/3f5+dnR1s2+bzn/88f/AHf0C5XH7Qj5JK\npVLvKVoNODrawZEa1/Xx89Nc396hsP1HfG30AZ6f3+Ov1k9y1IWKM+RAz/FfFz7Ni+PHOVMzhP27\nGFli7Jzg6n6JX65uMO0kWLlzSHuKp52/ol3+Hbzd/5sg9xii+jT7u6+zwlVqcxdRlacw7qSIshFk\nut9GTX0EqQMwmUnGk7SxhrcmTeaD11GFx+4VURWwfqjXyRhksIl2Z8DyJ8nl4817eVIPtv9mrIfE\nJkaZiKwsoEnwROZ+H1BkQvpJl6JVxhEuW9FtQLDgLnMY79KPu2ihWJKrbKm7mESyl2zQUodkRYEZ\nucjAdNCJpGuOsI1DOVtmkVPs6k1243XylPEtn0E8QBESmxhHujxceJxeZ8SGvsOUmGHJm6MoS2AE\nreQIjGbGWUIg6aoWOatA2a6h0eRlkZY6YM+sI4UFGKasWWLCyc4bEYfJPj4ZVuyHsSyBQN6Pc0i9\nOx54IXXx4kX+5E/+5EG/bSqVSr0n3d+Z+q+eoHlwi0QNIbPEbCnh6t4R1eZ/5Bvdc5yfSvjOXo71\nToGK02A7PsGnpv6Gbw8eZa5kKEbrrEUFZqem+evtGc7k21StA8qVJfatRX4l85/o1f41mZ1/R+if\nIal9iPbROjPxd5mbP4OpXAa7SBhFIGxy3S+jqh8E6aB1BGqEscvY/deJy89i919DFS4hVRftlMDK\n/uBD6QgZ7v4g+kDHyHDn7082PyaThvIRkQmxhEX2XpzBW+Gaxhj6ugNA1aozTPqsq5vMWkuEZsRm\ncJshPar2DIEZsZHcJEjGbES3MdIwxRxjOSBKQrp0MUqTdQrMOydQOuF68hKuzlOWNbSl6ekWoYrQ\nlmHRWZ6MYFFH9E3Mafc8NXsWgaSj2sQEVO0avsjRTzo40qFq10hI8GWWkemzE68hjQMCirKKFmoS\ncWASjvQujnFZss/gWS5SWHgijTA4DunRXiqVSr0HdI+uo8I+SWaFWfeIu906hd5XubKryRfnCaM9\nXmmdwTcN9tQiHyy/ylY4RT4jWfb3udn0WZ4p8hcbi9S9gBPObWqlIvt6madz30bVnkfs/TmRKDCu\n/DJBv0N5+DWWZhdh6klwq0TGIdERpe6XUaUnJrPy1Bg7bkHuUezdLxFXP4jdn+xEiaSHtvKT4763\nqAFSdX4wmFiHyPDg7x9UfExCE9zLhvrBLpQj3PsjXkITMEr6ZK0CnvDZiG5hC4cFd5m9eJNh1EdY\nghrzHCW76ESzrm4y1H0KsoIxCaEYYTTsxjv4dpZqpsaUrLGdrDNUA8p2HUc6jHSPOI4nRZk7ywXv\ncQ7UDhvJTS56j3AqqmFbDn3VZmyGFK0ppq0ZBrrHQPcoWhUQBkd4SDT78SbCSIQQ5O0CtrCJdECi\nEw71Lo6xmbWXyVk5LGHjCu+nrFbqnyItpFKpVOqYvHCzQXMYkWjDv/30q3zyyUWeP1t7x/dlTZdw\nOEC505TsHl1Rx7Te4GDnNZq5X+Oy/xr/bv0SKukT6SJL2UNK7LFjTvLsVI8rBxanah6f31lBCsGF\n7FVmChY74mEeyd2kWpmlf/gKUkf0qr+JSQSZ5n9iaaaCPfUU2q0TyxJB0Kfa/zuS3HlM5gSoPla4\ngyo+BodfR5WfnYyCyV+cDBa2smD/IC5AxC3QCu0vTl5Ixsi4OemJekDeaigPdIAl5L1dKHN/F0ob\nzVD30SQUrSr9pMumus28tczAdLk7vk4kAipOfTLqxezRiPc4iPZwLIuCKROJkIzJ0jAH6ERR8aeY\nZpGh6XEjegNHZ5h25gmSMUM5oBf3cRybp9yPEIsxN9QbzMsTnHUuMuvX2Os3aMYHZESBWWeJiICB\n7pEVBRACV7pYxuFAbaGNQQpB1srjywyhDgh0TEPvgzHM3yugbOGkCeQPSFpIpVKp1DF44WaD/+0L\nN+9/vd4c3f/6h4spy8TMWLsY6wyWW8WTDRrNbfTOZ3lT/BYfzF/h/904zzCIsVSCcC1+Kf9Vvj94\njKdmAq4dBMznBK90TtGOsnwo/z2mnJhD8RRL2QZnSkP2BzZZdZej4iexnQLs/zUnKln82mWSzALK\nm2fcP6Ay/g7anycpXUREbaxgA5V/CqfxRTjzz5Bbr5FkVxEmmCSY2z+4ii7CA5AexrsXtqwGSNX7\nQVH1AEwaykfEJiYjchihsYWNLSa3A0MTEOgRrvDwKLAe3SQjM8y7y+xEawxVH1f6FESRjj4ijEPW\n1DUiYrIiRyJDHOMSmBE78QY5O0vNP0VG5tiKb5CohJJVR9qSrm4RxRGBHPCQ/wRlZ4rN5BYZk+eS\n/yxZqwCJphEfEhIyYy+iTcLIDMiILL60cYSLL3IcxNtEOsCSkqyVJS9LjMyQUAe0kyNCHTBtz1G0\nqzjCvf95Uw+GMMaYn/VD/CQ/LXvlvZgb8/MiXdvjka7r8TmOtX2rh+kf6q2dqB9lS0E159IYhBgD\np9x1cqLPtrzEWfsmzaTMP/f/nK/3f4lpr8FBUGVdzXLKarFjTvHfVP4fvjV6kodmEqLeDraBYeYc\nX9+b4XL5BsvZJl33EcoFjw+Xv8uWeYRS+2/YL/4LvOIJ4t2vcKIwpDz7OEnxUbR/gn53h2r0JgDx\n9K8igwNksI4qPovT/AKq9DS1XJfGqDhpFBcOxilNPpAxyGAb7U7d75MSqo9Ihmhv9h+36P8IYz0k\n0GMQBl/kAHP/Vpo2msCMSIzCl1n6SZeWOmTROU1LHXCgdhHCkKdM1zQRWGxFN+nFHRwyKBHhCQdH\nZjmMtkjQTLl1psQMTdWgoXfJmgoVv8xYDQniEV3RZM45yUPu4+wka4zNkBX3AjPOPFpD2zRBaM7U\nT9Fqjon0GEs4+FYGS1jkRIFGss9Q9RDYeJZHWU4xoIfEoqcmtwPr9jwVu4YjvF+IBPI0RyqVSqV+\nQfy4IgpA/dDrM9YBRdHmenies8VdjpIpftX7LFfG53BtRaQlG2qWGods6RV+u/pFXhk9TD1vyIY7\njJIYr3KGb2zXWS3ss5BtM/TOkMkW+UjxS2yID1Nq/nsO87+OX1gkPPwec36XSu1hVOEi2p9j0Nun\nFK9BMiSe/R1kuI0Mt1Glp3GaX0IVH0fEh5A5CeNwMpD4rSJKK2S4PRkFIye/TkTcARM/sCJKGXV/\n2LCHf2/QsH3/WCvQY5SJkULik2MrukNeFphzTnInvkaYDPFkBmEEPd2mF7fZVhtYloXUFpE9piJm\naCV7dKMdCk6FE9Y80rK4Fb2J1IIZZxFhJL2gRVs38W2fj+b+Ja34gKvJyyxbqzzmPIcRhq5pE5uY\nkqzgSp9YK2ITkLXy2NImKwsMVJeN5BYI8GSWoqgwYsDYjAmTEW19RNme5qx7Clf49/u+Uj8baSGV\nSqVSP8GP5jz95/q3n36V9eY7JzMsT2X5g9+9xP/4Ry9wxt5nIzpNJe/zP324Codf5nZjgWX7UU7K\nN/gPW0+w5DbYi5Z4In+DYeKi3SwXcpvcagpO1Bf4DxsLTHtDTnvbWN40iTPFJ4pfZcf7FXIHn2bf\n+xDZyin6R1eZk9vU6ycnMQfeNINhn1y0jh3vEM3/l5MiKthHFS7htL+OKlxAJD2wS5OQTRFPGtAB\nkhEyarytiVzELTAG49b/0ev9DxHoMYEekdwbMPzD4ZqJSQjNGG0MjnTpJx16ySbz9grNZJ+bwRUs\nARnyk5t9OmYjfJNYJEhjEagRFaeOMiN24jsYAfPOEhW3xm60QSc8osoCBa9AwJB2dEQsIp7wn8Nz\nMlyJv0edGT7g/Sq2JRmZAWEyxhc5SnYVfW9ETc0qULAlvsgS65iN8BZGGDIiS06UCBkSi4gkidnT\nGxStCuf8S2+Lb0j9bKWFVCqVSh2DTz65+LYeqR9+/YtX92mNFF/RjyKF5KR/hO7vsntwwKH7Kzzq\nv8KfrT2MUmNGUY6qN2TVv85ro0f5lbltXm84nKtb/OXOMr5IOJe9Q7mU44gVPl55kV7uaey9z9Gy\nHiJbu8i4vc10coO52Xl09UMYd4pRpMlEa3jhHaL5TyGjfURwhMqtYndfQvlLCB2D9DF2FhAYpwLc\n23XS4duayEXUnORMuVPHvrZvNYyHJsAXPp7wJztOYpKPFOgx2iQYYZDGYjtaoyQr1O0FbkVXUUmI\nLRwEhtCM2VdbNOM9pPEJGJElz7Q7z2GwQz/pUvaqzIgFxknAlfD7eKrAyew5YpVwpPbo6Can3FVO\nexe5E13DUQ6X3Q+RdQrEJqKrOjjSpWzXEUCoQzzhUZA5inaZmCE70TqxCchbJXxyKBFihMYoiw19\nk7ws8pD/eJpC/h6UFlKpVCp1DN5qKP8/vnQLpQ3LU1k++eQiidb8n1+5C0wyfbQxrI1rvPDmN8hV\nPsJp7xaf31mmGTpUzR4dFvjXpT/nhf4zfGi2zdUDwXIx4NutRxjGPk+XrzCfExyKZS4Xr2IVz9Hd\nfwVtcljVZxkMu8xE32O2PoOe+gDGrzHWWezxm2RHVwhnfweR9CE4wGQWsYa30U4Vca/fZpJIbsCr\nAn1EdDQ53vNm7n/WyWvOD3arjlFkQkbJ4P4ulEHf351RRhGZAMEkGqCr2oSMWHRW2I822QxvI6XE\nEjYYQytusKPWkUISGwViwIxYpC86rI2vYeFwMnuOnMhxK7hKnAxZyK3i2z7toM2R2aVsV/mo+9vs\niy1uRm+w4j7EnLuE0gmDpIMmoWBVsIRNTIiFTcEq4okMFjb74Q5b4T55WSBn5RFCIBBI47Ie3cST\nPue9S2RlPi2g3qPSQiqVSqWOyfNna/zxtzdoDEJGUcIffWuD7mgEvLOn5TOHl3lm+DpXEngzyPGU\nd4fvRw/z31b/ghe7l7kwHXJjv02eHuvxJW52a1wq3mahMOJQrHIm12B+qsJ2YxsvaTOu/jpGhUyP\nv85UZRpRvYz2ZwlkDdF7g9zwJcKZf4EQIMe7GHcKEe5Nns0pgAHjFO8d1U12mWSwjbbLb4s8kOE+\nxspOCq5jNkoGBGaEJWyy5JBC4olJg3ugR8Ck0Ih1xKHao2rVyIk8N4JXiXWIKzKAJjIRW+o2/biH\n1IKB6FIRdWxpsRdtMdA9ak6dGXeBo7jBjfhVZsw809kzjMIBd7mFNPBM9sMoNG8mL3HSXeVR+1lA\nM0j6KBORl0U86RGhUISTr0UGWzgcqV0GasC0LlF0SjhMmsW1hvX4Jo50OOc/Qt4qHfu6pv5p0kIq\nlUqlHhBbB8T6x/e1BHjkTYPXgyeZZ4uXwof4teILXA9PUchJ/HCPrOmzE85xKzzBan6Xc/lDGmaV\n+aLm0VnF3WZEMbjGYfm/wBIWtdHfUSqUcaceRudOEjmLJJ1rlAffIa5/AmFnkcM7GDs/yYVKxpjM\nImBh7MlYF+PWwWgYrKHdtw8klsEu2i6+rbA6DpOG8j6xjsjIPEbo+03Wb+1CWTgkxLTjIxKRsOAs\nsxdv0IwPsaWFK3wEgp1wh4baxcZmrAf4Is+Ct0InarITbePKDGe8hzFa8lr4Ir7K8Ej+KbTSbMe3\nGeqAVf8CNWuaDXWHoijxnP9xfCtDaMaEOsCVHgVrsiM5NiOyskhGZnGFR0c16an25Hah7VF2qhgx\nwtIua9GbGCk44z88CeFMvS+khVQqlUods1re43//V49iNb/C//y1Alvdd97om/GG7IjLLOYSWsMT\nnHG3sO2Ega7wbOY6eyOLITleN4+x7Le5mF3nSC4zlXf48NwutztlSsOvsp39LbKOR6X/DXK5AvnK\nMkluldg7SdhdozL4OvHUh9D+HHJ4EyNtDAIZHqJzqxjhMdmO0pNMqCRARgdQfxjGg/vPK4MdtFN9\n+3y9YxDoMQPdvxeuOTne8u+NehnrIVJYSCwGSZd20qRuzWAw3AxfIzIBjvSwcRiaDhvhGomJCc2Y\nsTTU7EWMVGyNbxMkA2a8JSpOjbXxNXqqw2r2AgWvymZ4h4HqUHdnueg+zV6yzZ7Z4iH3EnVnFmUU\nXd1GCkneKuEIh7EZkhE5avYstnAZqgFHeofYhDiWR0FMhg57ZNiK3iAm5qz/CCWreqzrmXr3pYVU\nKpVKHTNtQHevkrM1H72wxB9/e+Md31OWIb3YZcrsoZnm2eprfKf3KM/XbrPR8zlZNHyx/RgOAY8X\n7xK5c+QyWT46e4u74xXKvS9wx/04U/k82dGreL5LpTJDUnycJLPMsH/I1GAy+kXnzyN7V5EkKKeM\n3b+KLlzEWFlIxiAdjDeNUD2EGt4bNHyvP8cYZLCF9mZAHt/oEW00A90lZlZEzwAAIABJREFU1OG9\nm3jcz0pSJiYyIS4+oRnTiA+wpMW8c5LdeJ12vI8lvMmxnxGsqRv0VQsDDPSAgilSoExfddhNNijI\nImczl2jrNt8bfJV56yRPFD5MI9zjTf0yBUpczD41mb+n77LkneaUcw6DoaNbSCHIWwUc4zFmgERS\ntaZxpEtkQg7jTcZ6hG0synIax3Jwtc9afINOuMWyd5aSnEp7oN6n0kIqlUqljpExUBJNavS5a3+c\ny8sOVvcN/vJGRDOZIidH1GWDIK5w0b7KC8El/vuZ/8g3uo9yuXrAVs9lPjvka+1HCLC55L6J45WI\nrCIfq1/nILlArvMlbvMks1N17MENPDmiXp5DlZ9B55boDUfUen+Lyaygy08hB9eRyRCVXcHpvEhS\nfnLS4xR3ENJFezOTW3iA9ufe9mFksIH2FkAeX3p2ZEIGSRcE5K0iPxyu+dYulC0cWuqAXtJjxlog\nNGNuBa8RmgDPyuLish/tsJdsYCUOQzPAwmLamUUayVp0AyMUy+5ZMrrIa+E3cFWWJ/O/jIpCbkYv\n4yRZTmcugIF9vcOcNc/D3tM4wmZoJn1QWfL4lk+ox8RETNkz2MJBGUVD7TNIumhjKFs1slYWW7ts\nxLcY6T5nvEdYKZygHY6PbS1Txy8tpFKpVOqYJNogTMTD3uts27+Lwsbq3+V5/ohvyd/knL+NEw+4\nEp3hkfw23xhc4pPFz/G9zkOsliO6ozEzzoCbo1W2h9Ositu4tmIs83x4ep0o/yRq68vsJaeYmz9D\nMlwnK5rUK9MklUuYzAn6gaTS+Rtwq6j6x5DDu8j4EJV9BLf1JVT1g2inigz2wMqgvVlksIux829v\nIDcaOV6fRB4cYwDkIOkxMoN7zeQWjnDuFSaTXaiMyDFKBuyrHTKWz5yzyE68TksdTXqTKDFSQ+6a\n64zjIZEJSRhScqbwyNCNjzhUO1TtGZbcU1wfX6OtX+WC9zglf4pbyRsIYNZZxhUOA9WlYJd4wnuW\nklMnSIYEaoAtHYpWhQRDqMcUrSqe9FFG0VFNukmbyARUrWkKVgmpLTaj2wRmyJJ1lnK2ivsLkkb+\n8y79CaZSqdQx6YwUj7qvsKFOMaKCShRzm/8rXwx/E0dE9AO4ljyNwuGbgylO2TvsJ3NksxZuvEXW\nDmkkNV7prrKYazCbbHGgFvi1UoNs9XH2Nr/FOCkwNf8IarRNlT3KlRkonsPkzjBI8hTaf4ktJdH0\nbyHHO8jRXVTpGdyjv0ZVnke708jROti5SRE13kC7M2D5P/ggJoHh+r0jvuMJgVQmpp90SIymYJUw\nPzRoeKyHWMLGFT57apNxMmTWXqKfdLgRvUZoxmRlGdsINqLbtNQeShtCM8IhQ82eJUkS1uLrIGHV\nfZR+0uGbwy+zYC/zwczH2YxucRDuUqVGxs4xVkO00Jz1LjLnLpOYmF7cQkhJxi5iYxGaMXmrTE7W\nUUYxVH1a6pAhfarWNHP2Eq5wuRNcIzIBi9YKJbeKL4+3ryz1YKWFVCqVSh2D3jjGGV5DGM1GtEwU\na+Z3/xe+2b9EbeYscvMlXksu3f/+GJub6iTCsvhw5mWE0Wjp8o3OY0xl+nywfI1vNheZ8xqsLF/i\n1vpr6GhEYfaXMOMDKuySz9dw8rMkhYcZUSbT+hKuahIt/XcI1cIaXCMuPYt79BlU5ZfRmXnk6BZY\nObRbmxzb+UtvL5Z0jAx3oH7xbc3m76ZxMmRgenjCx5fuvaLJIzYRsYnIiBzDZMBuvEHRLjHtLLAe\n3qSbNMiIPCVZpa2a7Kh1gnhMIkOksci7FQoiz368TTtuMOueopgUuRp9D9dkeC7/cfpxm6vxy9Tl\nHHmrTEzIyIxZcldYdE7jSY9e0iYWirxVwGUS2ukJjxl7kUQnjPWQdtyiow8p23VWrYvY0mY9uElo\nRizaK+SdUhqm+XMqLaRSqVTqXTaKEtS4wYy6xvfCZ2iNI174yh8wZzp8bvBhHj74Mtfjp3/s392N\nCjTHIywNXxs/jyLgY9U32DdnqMkNhOVwc2MHK9xHTD2DUS3K1hFZr0i2WEGVLjOyZrDb3yET3iBc\n+h8QSQ+79xpx6TLu4WdR1Q+hsyeQw5sgM2injIyO0Jnltz+MDpHhwdvGwLybtNH0dYdQB+RkYXIj\n714u1EgPsIVDRuTYUWuMkhELzjJd3eDa6BUSqSnZU4QqZC26TjNqEAuFLSyksKm4NcbJmOvB6/hO\nlgvuZa4nL7MWj7joX8Yjy534Cnld4YRzmr5qkyQR094JTjqnKVpVhrrPQHXIiMJk3p0ZYqRmWs5j\nhCbQI/pxj4beJSPynPcfRwrJWnidwIyZl6coOiV8mU3n4f0cSwupVCqVehdFSjMOI+rDr3JQ+Cha\nb3PBucp562X+vPspVty7dBOfkB9/421gCljG5uXxo4zxedJ+mZGzxHy2iwwCeiqHNbpFXHiYDGOm\n7AGOEBTyRVTpKUJnEdO9Sn7wIuGJfwMkWN2XiQuP4B79LXH5OUx2GTm6C8LGWDmEHqP9hbc/SDJG\nxs23jYF5V9fJhHRVC0e6FGQJKS084b9jF2o9vk7FrlOwy9yJ3qSn2xREGUc47Ifb7MXbhGYEQmBp\n8O0sGZ1lO7jDgD7L3ll6SYvvjr/Csn2WR/In2FDreMLlhFilxSEtdci0M8eCt8yifZqhGdBShzjC\noWJNE5kxCsW0PY8RhsCMCNSYQ7WNFA5n3EexpMVGfJNQB8zLU2TdHL7M3B+enPr5lRZSqVQq9S5J\ntGEQJpR6XyHIP0ojzDErt/ntwhdoVD/F757KsrNneKWzhBtGRD+mmJqy+7SsFYbWPB8o3KWWrVF0\nxlyeGfF/HUyxJK8RuhcoeB5lZ4iVDKiU5lDFS8SZVcLeFrXOFwkWPgVWBrv9TXTuPE7za8SFxzH5\n08jxFugInPJk3IvzI/PxkiEy7qL9xXd9jYwxDHSXsR6SlUWkEHgig0Aw0gMc4ZKVebbiOwTJiHn3\nFA21z53wOpa0qFh1+kmXjWiHw3AXKSw87RPaY2rePM1ony11i6KssmzOcCN+jTxZLpc+Sj9ssRbd\nZk4uM6THnlqnYs+w5K2wYK+ANBzpPYQRFKwKRmhiE1Kxp5FCEpgxKok5UFskxJx2HsGSFlvJHaI4\nYFYuk/F8PJnBE/5PX4zUz4W0kEqlUql3gTGG7ljhja+RceCmWmHUb/CR7P/Hq+PHeXZ+lZ2bX+Fm\nt4ZKXIq0aDD3jn9nxd3izdE5ljK7LBSGIAo8UT9g6D3GPJ+nn0yRL05TdDo4SZtSaRZdOI8qPMxw\n2KTe/gui2d8Ebxa7+XW0v4TVfZEkfx5TPI8IDxBRB+MUJ6nkVvZt7y9UH5EM0f78u75GysS0VXOS\nuyRLSGHhy8zkZp1RZGWevupxJ75K1ZolKwvcDK8w0n1KsoomYXe8zp5aIyQiI/LEBDi2R14UuD18\nEyM0S2KVdXODo3ifs9nHcI3LTnyHGTFHzjrBVnyLvFXhocxTzDtL5K0ireQQnRhyIoeUNgkRRTm5\nWReaMUonHKgtAj3ijPsotrDZVLdJlKJuLZD1Jsnlb8U0pH5xpIVUKpVKvQsGYYJUbSrBa2zlP0mz\n0eds8GdcjQu8Gj7J8t1vsDGqcpTUWBR3OWSO8+INNswKARlqdo8z3ho70SoFOeCx4h6RqPFoaQt3\n6gPsb7xITJaWmaZot/GTHtniIuRmUOXH6I8C6o1Po6q/gs6dxW69iHbrWKOr6MwpdPERRNRCjrcw\n7tTkKE++/VeAiLugQ7Q3+66vzzDp09Md8qKIdW9ki4V1fxcqI3NsRXcY6yHz7ikO1DaNaB9P+lRE\njZY+5CDappkckJUlMspB2zE1Mc+e2qJrGlTFLCPR43r8CkvOaSq5GY70HnmZZ5WHuJG8jkgED2We\nZMZdoGbNMtRd9tUWOauIj09MiC+zZGWOsR4xND3aSZN+0uaEvUrOKbCt1kh0RM1eJOtMZuf5Ios8\nphuNqfe2tJBKpVKpf6JRlBCrhOne52mVf4OdZszy8LOs7R3xUniZM84NdkZZ7g6mWPE3uDJY5Mnc\nLbTwmIteZMHeRmZqfHf8DEYkPFO5wdia4qH8FidOPsOtzTcYhxH78Qw1t0XWZHGLJ3E9G1V5jl4A\nU41/T1J8jKR8Cdl9FS1drGAD7UyTlB4H1Uf2r2KyJ9H+iXc0j4u4PZmt502/q2uTmIRu0kSZhKJV\nwULiyyyRCYlNSFbmGaget+MrVOUstnC4G1xjqIcUZJGQMdvxOuuj6ziuRympMhADKm6V2ChuhVew\njUMhqbAn1ymKMhfylwniER3T4KQ8y6a6y27ybR7yn2DOO0XdniMxigO1hScyVOwayiTY0qEsagRm\nTE93CJIRzWSfur3AvH+Sg3iLo2iHaWeejJPHwsaTPrY4vnDS1HtfWkilUqnUP0GoNKEyVPpfQhWe\n4E7Hpjr4Ev3OBvv24xSsgChSrI8qzPpNrg2mOWVtEWqHoj0m7xzQS4psjh6mH3k8W76GsqdYze5y\nbukiVzbWMIMG5dppZlp38aXCyqySdSLi2ifoqwyl1p9DZo6k9suI4S1kMsAkY7RdJKk8A0mA0/42\nqvAoxn/nbpOImiAExq29q2sT6DHdpElG5PCtydGXvLcL5QoPV+bYDG8TETBnn2RPbdDRLTxc8rJE\nI95lT23R0Q3qzjyBGZJIRTWpc6A2GZuQLHm6osFYDDiVOY+rXbrJEbPOMmES8FL0DZa8FS4Vfoua\nnMEXWQ71Dg4OZVlDC4WFTcWuE5qAtm5CIjjQG+TtEuf8x9iPt9gIbzDrnCDjnMRg8KSPK45vRE7q\n/SMtpFKpVOofSSWGUZSQGV/HtSS34lPQ+i5+fIuXh/MsLJ3Hvf13HP3/7N1ZkGbnfd/37/M8Z3vP\nu/e+L7PPYDDYQQLcSZEWQ222xJLtSCk7cVKVSpTkKre5zKJcuFJx4otcJSW7bKuikkSLFEWJJEiB\nxEoCmH3pfe9+9+1sz/PkokGIJCiRIBWZAM7ncrpr6pzunulfPed/fv9snKKCRqIYd7sox1J1E8bd\nNnHisDZY5YQprlbW8AOP5bDBQwvT3DwZYEd7VMbmKckWGpchLhU/JR3/DAOqhM0v4tmMeObXEKNd\nnNEGBhekgx77EBiN2/gzstqzWG/8bfcgkmMQLtat/a19Xay1dHST2I4oqxoCQUEWiW1EahNCWaKr\n2+wnG1TlBAbDRnKXxCYURZkuJzSjbTbT21QZY1LOMKBFWY4zoMeWvg/aYtCcmAOmnRnqhSn6pksg\nC6yIK7waf5NQlPhY8bNM+rOUxRjHZpe+6VESdYQQKCmpqSlSk9DWJ3gUOEp3caTD+eAaJ+ke6/Ed\npt155r1VMpviCIdAhj/+i5B738iDVC6Xy/0UrLX04wwn7VIZvcrR2H/M7r3rXBI3ee1Ysbj0OLfv\nvUg7q9KnQt02GckyoWlRVTGuTZhy+3y9Pc8681wpHDATjpgKNJcmJVv9ImlnjXKhTKiGlKpzeOI2\nWjhktacZOgu4ja9TSDaIV34HkbRwet/ByArSRKRTnwGtcY//kHTsk+C9PSiJ+BBU4QdXwfyMUpvQ\nzI7wRYGSrOIKD4Xz5ilUgIvHZnyfjJSKHKdpjujrLo50UFZxkOyxldwnkyMW1VlOOEbYmNDWOUz2\niNMeFsWIHkVVYbVwGUNGLGMWzDnu69d5kN3g0eAjLAYr1NQ4fdPhQG9QlFU86YGwlJ061ho6uolP\nSEc3GJmIVecSHXvMRnybKXeeGW+J1KYAlGUtL9TMvU0epHK5XO6n0Is0GM1Y9wv0J/4+N9c3ueS+\nxt2tLrWpR1nfvcfeUNGgxhS7HCULLBX2KLoxWmqulHe43l/hvr5ASMS50jH1QHKh2qErrzBoblF0\nY0rFAuXSAm52SCx8GmaWUXgV0foupeGrxMv/DWQj3ObX0O4MUjdJpz4HJsM7/iOS8c+AW3rb9cto\nH+OUwXn7x37qr4luMzC9twJHQZyeQmlO38hr6wbH6QGhKJLaiCO9Q2ITAlvgRB/QGjTZkndYkGdJ\nZYFmdkRRVOmbNg1zSCZSNBnS0yw6q3g2QMuEWbnEfrzLi+YrnPev8mzxFxl3JkhswrE+wMOn7o4j\nkISighDQ1x0CUSQyMUd6l1nnDKEYsqMfMOMtMCdXSGwMQFGW8514ub9W/pORy+Vy79Ag1hgL9d5X\nMLWnuL6Xsph+k93GPrp0ie4oZvdkwGE8TZ1jjpnhoruNsorUSj4U3uX2YJG70QUshovuOpWwxJnK\nEU7tCjv7DYrmiGplirA0R2D2ccMZYgw3kkfRnVvUel8lXvxnoBTe4RfQ/iwyPiKd+mXIRniNr5CM\n/cJfE6J2MW79bdUHPy1tNY3sCCUkZVnDlaenUCM7wBMBWNiO10hsjItHWzcYmRFKQmxiTpIj7qfX\n8YXPGXuFhjggsCEOLm1zRDs5AQRWQEXVmHJmSUyE7xRR2uPl+DnqTPCpyq8z7cwjhaShD9/qpPJl\nQEGEWGsZmj4FFWKMZVPfZcKZYVItcKy3mfTmuKQeJTExmc0oyGJeqJn7sfIglcvlcu9AlBoybQlH\nN5HK5f5oGa/5B0RZl2N5gYmC4sXbuxyndZRJGeFT54hIFajLNg8VNnkQzbIRn6OTBJxxb6MULIfH\nTE6e5cbhCD9ZpzY2RqE8Q9nsY8NFPDfj5fhZJuQBtd4aycxvglvFPfpjMmcKFR+STv0yQvdQnZdJ\n68+C9/ZHdnK0hfGmfnAp8c9gaAZ0dINQVHClQyBO38gznL6R19RHtNITlHDRNmZg+iR2hDCWI33I\n4WiPpjzkvHOVtjyhlR4SyCLDZEA7OyKxEeCglGLJPwOAEIJJOcfN5DWM0Txd/ARL/nk84dPRJ0hc\nfAoEokioimibEZsRngxwrc9mfJdQVphxlmjofSbcWR7ynyQ2EYmJcYWXLxbO/cTyIJXL5XI/oUxb\n4szgmi7l0Xc5HPuHHF//IlMBrHdLzI37vHhvj+OsQpR5uFkDSwFXuEw6J0wFA4YiYDM+x/aozsXK\nISrqM+OdsDxzjteOfAqjV5mplgjCSSocov0FynLAn3U+RWO4xYGp81/85dN8/ukCn6r/GUaWUbpF\nOvlZRNZC9W+jyw+9fbDc2tOlxP4cyJ/9lMVaS0sfk9mMiqyjhIMrPCI7xBcFMpOxk6wR6xiNJjYJ\nIzMEoWmbJsNRnzV7k7qYZNE9z3G2h0pdjDW04xPa2TEgMQ7My3kCt4g1mrqaZie+z5q+zcXCNS6G\n1yiJOj3dZCD6eMKlIMoUZIgRmsRGeCLAEwFb6V0Qklm5yrHdJRMpVwtPE9sRIzPAES6hKOVzULl3\nJA9SuVwu9xOw1jKIM7CaWvsLjKZ+lVvXv8FsKNg9aFOfuMobGxscDHxG2iewRzTsFBNs4NsIX1qm\n5AmvxM+y3q8xHfY4Gx7RN22EdPlOc4bS6HUmQ0VQGqPiR6RyjprT48+6H+N//doucLr4dqNt+d0v\n30V+UPLxpZh0/BPItIGI9tGFZewPF2paixxtnPZHyZ/9v/3ExJzoA0qiQqBCfFEgtfFbb+QdZwcM\ndZfEJmRkaDISO2JkInq2yV68zkD0uWAfoSEOaCcNkJbYjGiZfRKdAYKKKDHjLaKtoaQq9LM2r2cv\nMCMX+FTl15hzlumaFidm/83izjqu9NEYMhJ8EeBQZDO5R0rEjFylaQ+IZI9rwQeI7JCB6eEIh1CW\n88XCuZ9KHqRyuVzuJ9CLNAio9/6ctPIU3717i0kn4+jgDt7URzk8uMt2J2Fo6jimzVEyxRnnPpEs\nUHThWvE1Xhw9y4NelZJneLS0zlQ4IInhQbzCSnSfcbdPWJqlUijwey8dEMgjbqbXuN47At7emv0v\nXhL8/k2Xgvw6//OvnsW6NWxh8Qc/yerTx3mFZfhbaN5uZw0iO6SqxlAoHOER2xG+KBCbmJ1kjciM\nSEyEQpGYEQMxpJseMxj22HLWWOICJa/GXrIJgCMkjVGTHsdIPHzlsaDOIR1BIAtkWcLd+A0KOuTp\n4sdZdi8QixENfQBIKrJOUZbfWjXjqYCCKLITP6Br2yxwhpZoEIke1wofIDIjBqZ7Onwui3mhZu5n\nkgepXC6X+zEGsQagGN1ECoe7bYcgO6TfWiOpPoPT2+L+8YghZbRJ6cZFFr0D+rZMQSV8sPwqryZP\nsT6YwEjJo+V7jBdjZms+L51UKHPChD6kWJ+nVJnDiiECw7ZZ4dDMkJkf/aiprwNWZQtjAQGmePYH\nP8FkyHgHU1h5W5P5O5XZjIN0G4+AiqrjiYDMJmQ2JZQlDtNtRnp42lhOChY6tkNbn2C1Zj29g5WS\nC84jHOod9CAFZcis4VifMGKAFA7zzhJlr4414FjFTryGFpbL/uOs+udxpEtPt8EKfOlTdcbJbEJs\nRhRUkVCWOEi2uWduMMsyJQlD0eNq8ASJjRnoHgaDJ/18sXDub0UepHK5XO5vEKUGbSyebhGOrrMf\n/CLdgz9DkNL1z1L1I1580KCd1ogSi2MjPBWglcG3micrN7idPcbOaJpB6nOlus10IWW2bLFqgjjp\ncbWwSa22SFA9hyt7CCfkn33qUbrVX8Bv/gX/7VdKbHTfPte0OubxP/2DxyFtYYoXf/CDJkHG+5hg\n+WcOUX3dJYpPKMkqSihc4ZPYiECEjMyArej+6ZyRHeHiYqzmONtjaEY00xOO2eayfYye22E3Xicl\nxlc+3bRL0zYAy5RaYNKbRkoHhaSRntCjzXJwlrPeFYqyRmT6xDZGCUldTZ0+wNNDiqpK4ISc6H0e\nxDeZYIqaGicWQy4610DB0PQxVqOEQ1GWf6avRy73/fIglcvlcn+NVBsyYxBWU+18iV7ls2zf/CIq\nmKXf2WJsapk3bnyT/dE41hiEHtGTYyyI+8SZz/niLkfZPPvpFEfDEkuVAcvlNgvlLkEwz3Y8xmX/\nJYRUeBNXCUUbowoUHEGv+mmcxnP4DPj8kw/xu3+x/7br+/yjdcg6mNKlHwxLOkImx6eP834G1lqO\nsj0UkkVnlq48PYH6Xi/UQbrFwPTRZMQ6whM+bRocZ7vYGNbtHepMc8F/hIN0h2E0wJcFBJLtZJ2E\nlKqsMu+t4MsArCDKRmyZHabkAlcLTzDuThETM7BdkJZxMYOQlpghNTmOLws0sgPWs9tUZZ2SrJCK\njIvuNaSSRHZIZjMcTueg8sXCub9teZDK5XK5H8FYyygxWGC892Wi0hM8uPc1KF4lPvoqhYXPsX7/\nOe62a4Qypq2hLyaYt/fo25CFsEngWfayFdYGY0yWUh4u3mW50KZUXmUtXqTcf57Ui7iTPsznZJOY\nKmUV0R//DWi9SGibZGPP8tHJSdzWN/nnry8w0h7LYwGff7TGx5Y0prAK3z8krYfItIX54Vmpd2hk\nhjSzQ8qqjiMcPOmT2j6BCOmbLnvpBsZY+nTx8DBYNrJb6AyO0gMGosNldY0Te8R2/z6pSvCdEr3k\nhEN7iIfLWe8CNX+SJEtO+6TMIWVR5gPhJ6m5dRCn9QpgqIpJPOkSi4i6mqAuJmimJ2wkdynI0unA\nO5pL7mO4rsvIDNAmQwpFKEp5oWbu/zf5T1Yul8v9CL1II4HK8HVQBTb3Nhh550j3/xw5+4s09q5z\n60RQ8mKO+w4xRaadbVLrE6qEM/4et8yHuN6sUfFTHglvMht2KFcX2MjmKfS/y7J/gPPop/mUGzMw\nJap+xGjs06Tt16maA0ztEaw/R7D5L3j2ykd5dftbXI8f43//jSVE2j2tMvi+PiiR9RB6gAnmf6Z7\nb2SHaDQ1NYErPbTNsFgCQnaTDWJGaKuJ7ZCirLCbrdFKG2SZYdPeZEleZtyZYj2+x1B0CVUFtGAz\nvUWGYUmtMOHOISREyZBO2sA4lof8J5hwpxFCkJgUIaAkyoSySswIX1WpqnF6aYfN9D6ucvFVAWst\nZ92rFN0ikRkR6xECgZcvFs79HciDVC6Xy/2QfqxxpMBNj/HiexzqOfqmQHz8beTkh8iiBvd3dzGm\nRjcTWCQFMSQQEcMs5Kn6da6nz3K3W8T3DFfDB6wWO1RKE+ybJbz+fVa92zhTn6Dqw9CEVLyYtPo0\nw94xdb2DCc+iCxfxt/+P04H2ZJfvxk9RkqdhyXpjP7DeRaQdMDHmh6sP3oHEJBxlu5RElYIq4uKR\n2oSCKDLQfe5Hd3FwGIohrlUY4LX4m/i6zK7ewDEuV7wnOdL7HA93cYRLRU2wn27R4oQ64yx4Zyg6\nJRI9YqiHDESf1dJFlvyzZCZDGwPW4iqPCTVNbGNc6VGVNUZ2yEZ0Gw1IpbDWsupcpuSWSG3y5hyU\nyRcL5/5O5UEql8vlvk+UGgQgbEqp+xVOOM9Ru0mnGyH9cbygzM03vsxOMo+X9dCZRyx8luQa3bTM\nB2uvcyt7kp2BT2IdLoeHnK8cUyiWaKpzEB+yJF9FTT5NqVQi0ZqSyqB4jl5kqet72MICuvoo/vb/\nRVq6ipMdkEz+MkX5NVxirCpi3fpb1yzSFliN9ad+6vvuZE0GtktNjeNKD2M1Vlg8G7CZ3KWSBKc7\n6myLwJR4kN4gziJGNmIrW2dZXcK4GfdGNxiZHuPeDNrE3Eq+g8LlfPAQM84CA9ujHbXoOU2m1AJP\ne59kQJ8ki7FolPKYlgsYkaGEw5QaY2iGbKb3sIC1BoFgyb1A3R1DW/22QfK8UDP3dykPUrlcLvem\nVBu0MWgD490v01dn6Rw+4EifJUxfRi18jo2bX+J6d545ccSmHkMLn3nW6NuAc+E6e/YCraRAJy0y\nX+jycGWLYqBIw4uM+n0u6ufxa5eplqcRaDxpEeE0bTtFLX0dG8ygK4/i7f4rdLCI0n2SqV9BpE0c\nm2KFwnqTb12zSBoAWG/ip7pnbTRHehcPn5qaQKLQNqMgijT0IY30iPDNEylNylCPuJ29gWc8Ns19\nanaCs8FDHMc7HKUHlEWFCWeajfgeA3rMssxCsIqWhkZ6QDfpUnSh4FJpAAAgAElEQVTLfLTwSxhl\n6NoGjnHRQjCtFnCVi0RQlVOMzJDt9AFYSWYTLJZF7wKT7vRbe/MMBokkkMV8Dir3H0T+U5fL5XKc\nDpdHqcFaqI9eRduQxvEtDtyP4xz9IWr51znYfIHvHFc542xzezCLUB6Tdp9UOUyoPsKp02GKB/0q\nM8WIx0t3qHsjVOVxDgeKC9lX8cuzlMbPoSSntQphhbZznvLwu1CYxJSu4B5/AaNChJSk459BZC2w\nBkdmHOu/enQnkhMQ6gdOp96Jvu7S1g2qso4jPCwGJRTCSO4nN3FwEEDDHDNl69wZvYTRlj49kmzI\nGfcyXdPi9ug1dKaZCRZpRsfc5yYlKjwcfpBQFOinHeJshFGWR8pPM+HN0MpOUKkHDtSdSUqqghWW\nihhjZAfsZhtIrYiJSYlZ8S4x5c4CEJnTN/GkkPgiyBcL5/6DyoNULpfLcTpc7iqBl+wg0332Tlo0\nS58mXvtDvNm/R+vkAbf3uow7Eff60ziug2P6SJXiy5TpcMSuvciNRoUpL+WR4l3mSl2c8qPsjULO\npl+iVCgSTj1G6BgGqaEchvS8K4TDN1CFKXRhEdX6FiIdYovLpLVnELoHxiB0n2M9/db1ivgIpI91\nqz/V/R6mO4CgpsaRQgGWgiiyl23Rz9qEskRHt5BW0s1O2OnfJNYZ+3qbablAyauwFd2npQ8Z8+ZQ\nSnIr+g4aw0X/GuNiir7t00oOGToxZ7wLXHaf4NDucpTsI6Wk5lcYkzNYMkJZIbURB9kWwkgykTIQ\nTVadC8x4p28gxjYiMykAjnDzxcK5nwt5kMrlcu973wtRUieEvW9z1EkZ1Z5m7+7XKVUvA5bdrZt0\n4hpSZAjpk2aaCe8YmaXMhDE75ix3WkXqfsaZwhZny4fY4ln29QSz0dcYC0a405+i5Gr+z2/uoYTm\ntz7zKziDmzjFGYxTRvXvoOItsvJj6PJVhInAaoTpv9kJ1QRAxgcYVfqBYfOfVGQiTrI9yrKOK1wQ\n4AqXSEfcS6/jESCsoKUbJCZhI7uFTSyx0yXSMCdWGNBmb7SObwMW3VV2kk0OOWCSac76D6HJOEoP\nyETMuDvNhwofJhJ91rPbKCupehPMqxUMGQURoIWmpQ/JjCZixIAey/I8D/tPIYQgsymJjTH29MQs\nEGE+B5X7uZEHqVwu9742SjSOhMxAtfNl2oMUHZ7lzuY2RWXx6xfZuvmHvNGd44y6wa3kMp6wzMgd\nHJtRLxoOWeZgWMBTghmvwePVe2h3nqF7kWr3BRbCA9zJj1IruHRTgSM0O9kiYvgAvzgD0kdEBziD\nW6S1D6OLqwgM2BRh4tOagzeLJMflMca5DOqdv5XWzI6IbXQ6CyUkAkEgQrbT+yQ2xpMeQ90jI2U/\n2uDEHJOlhpFoseScoSGP2Use0LZtFp1VhmmX19KXkSge9Z6irKqcmEOGaUTNrXEueJopZ57t7AEj\nPWDcnWTVuwTCIq3AkT593SGxMbGN6do2s2qRh/2nkUKeViyY0VtzUAVZzBcL537u5EEql8u9b6X6\ntHAz1Zbx0YtEoz6xrHOzVeTOva/xfPwJfjv+Ks8fzfGo/wLf6j1J0UspmiOQltDJGIhJulmRQeoz\nFYz4UOUVImcSU/0gqv0K59wbOPWnKVcnGEQRRVfSMJNUVZegeBaUA2kT1b9BOv5xjDeNkA7oCIHB\nuHWQpzNAE+qQjq6/4xCVmYyDbIuCKFORdYQQeMKnq9tspQ8IOP37urbDQLfZSNZQ1jAwPVxcSu44\nnbTD/egmY2qKVec8d5MbDGmxpC4w6y/TyVrsJNu40uFy6XHOeBc50jtcj19kzJ3iEe8ZXOViMbh4\nxGJEpIekOqVtmoy5E3zA/wSOcLDWnhZqWoMUgkAU8sXCuZ9beZDK5XLvS98bLgdBOdvG9LdoDg1H\npWukh3/MK/EznHNu8dJBicvua7zUfYSSmyGTPsrVTHttmnaJ2I6x3/eZ8DM+Un2ZTNWg/hHSzl2u\nim/j1q9QGj9HFvfxlEb40yjbIsE7DUhJC2d4l3TsY1i3hnVKCD0A4WCFB6oI1iKjLdp6jIx3Fig6\nuklPd6mpCRAgkbjCYzt5gLUWRzqM9IC+bbOf7NLK9sC4DOyQkCKxitkerGFJOC8eZl9v86p+niIl\nnih+Ap0l7CVbuCgWghUuBY+RmZjr0QsEFHjU/yChW0aToVCkaHq2RZKmtOwxFbfG0+HH3hoYj8zo\ntHoBiyvdfLFw7udeHqRyudz7Ui/SeEqgTELQeYHd1gnJ3G+z/91/R2n6A5Q3tkhHCQXRYD1ewHU8\ntI4oeQNWvW329BmsW2WzFzJVjHgouE3gCeTE03QGx1wzX8Gvn6E48RgkXbApTmGZbqSREoa2gIyP\nkdEGaf0joApYbxyZ9bCyADbDurU3Q9Qmxl8g4+Qnvj9rLfvZFi4uNTV22vSNT1Mf0dEtPAJSGxOZ\nPs30mM30Pp7xSYVB2RQcxSAasmlusaIuUfAkbwxeIiXjnHOVKTnDfrxJZizTwRzn3CuUnCrryQ2G\nNuGSf40x53SxsIODwdK3HbQ2NM0Bvgp5wvsIgTodGE9sTGZTrLWnc1B5oWbuXSIPUrlc7n2nF2l8\nR2AslNp/ylFjD2f5P+W117+MF84g/HGms6+yyxwLdo09cZXAjKjYE1a8HQ7MGbQ/znY7YMrrMa1a\nLBePyMpP0I4U18wXCIrThFOP44ohg0xTqizTiVPKnqZny0yqQ0QSkVafQUgHHcwh0w7GrSKz7mlD\nuTXI0ebpoPk7WLY71H0a+pCqHAMpToOMsWwk95BCoZAMbZd+1mVz9IA+TVzr0TcdrBFIKdmJ7uET\ncsV9irXsBoNuiwp1zgWP0dD7bKZ3GfdnWPTPMOssc6B3WY/usOid4RHvHBaLEhLH+gxNj9gkdEwD\nR7pcDZ6m7Jy+bZjZjMRGWCwCQUEW88XCuXeVPEjlcrn3lVGicRUkmWVs+Dztk3XE7Ge5fvcVVDrC\nn/kYzQd/zANzlo+6X+aF6LNU3QGubjERtBnYMXq2xnCgCL2Iop/xVOU6uniRrpzl8uj3KRZ8wpkn\nCURGN7KUqgv0RyPKroFgnml1g4CErPQJhBTowgoybWK8SWR8eLpw2GTIaBtTWIF38IbaYbqDxVBT\nEwgECoeWPqGXdXFwSHXMSAw5jg5Y17cpmwpGwsgOwZX0hy0aZp+LPMEJe3w3/QYKj8fqH2bYG7Jj\nHhCakHPFqyy7F0mJuBW/QkFWeCr8OL7yEFbgCJ+RGTLKIoaijQUuBteoOafFocYaIjt8K0D5opAX\naubelfKf2lwu976RZAaAOLNUswdEJy8zKj/OQdvQb65RP/srjPa+xjcPJnnW+yrfSD7JnNsnTiIm\nCj3GggGvD87jOh6phaon+XDx60T+KgP3CmfiL1LxhhSmP0RYCOhFmnJ5nNGoh68EIphDxdtILNvZ\nEkIadPEyMj3B+HNvnj6tgEmQ8d47ClGJSTjMtimLGkIKFApjDXvpJgACwcD2iPSAm/ErAJRMhbZt\nIpGozGEjucWkmue8fIhb6WuM6LGkzjKpZugkDfppxLy/wkLhDCVVYjfbJDZDznvXqLnjKCHxKBDb\nEc3shBF9tEhZ8S8xqWbfqiwYmQHW2jerF7x8sXDuXS0PUrlc7n1BG0ucnb4FVpQj1P4XOGaJKLjM\nzq0/pjT3LLJzh29tKWa4w43kYRwyeqlmxm9xIdzlm50n8QKfdgxl3/Ch0l8Su7OkxSeZT59nSu5S\nGH+KsDTDIB5QKITE8QBHOjiFcUhPsMbQyCZwpEaXHkImx5hgATnaOH2EZ+LTPyus/MT31siOiE1E\nVY4jhEAgaJsGfd3DwSUyfTSa+8Nb7GUbTDvLNMwOg6yDp0KO431GdsAl+TTr4jab6X2K1HjS+xgt\nc8xhtsuyu8x8qc6Ms0BkRtxJbjLtzHEpeARP+gSEjOyQlm7Qo40UgllnkRl36a1HdbGNTgfJrUUK\nmc9B5d4T8iCVy+XeF/qxxndOf6GHe7/HTlzFX/0ct178t1C7iOfAq3c2iUcZoRS0qFKlT1UOeDhc\n4zuDR5BuiZNIMeENOO+t43oBg8pTTGWvM2Nex5t4lOLEOaJogCsE2ihA4/klMAnYFO2OI2WL++kF\nZHKEKSwhR9uYYAFMhExbp4/2fgKntQbb+LJAKIsgwBhDQx9irAYMXdtmFI14VX+Dsq1SkCUO4nWk\nVKBd1vVtlpyzjHSJN8xfgnFYFRfwVcCh3aagSiwH53ms/hidZsxO9gCB4lrwFKEsUZBFIoacpAcM\n6KGsYtZbYELNEajTN+5Sm5DaBCwgoCCLeaFm7j0jD1K5XO49rxdlhJ4kziy19p9w2B7gr/xT1m/+\nezqmysTYCge3v8T97gSP+i/zXP9Z6uyiUTxauMFWNE/LzpBpmJANxt2Uc8V9TkofY4w9lvS3KI5d\npDJ5kSzpARr8OfTomEKphlE+Kmlh3SoSy/30InXVwhSeRUb7GG/i9CQq62GC+Z/onrq6TUc3KYkq\nYFHCoac7dHQTD5+hGeAIxY3hC3R1i2kxz162g9EJoVfiIN5FCjgrrvAgu0VKRl2MUxdTDMWA1A6Y\ndOdYdM5Td8ZoxS02020W3RXmnVU8EZCImFZ6RMc2cfGYkDOMB1OUVQ3gtFDTjt66Zl8W8kLN3HtO\nHqRyudx72jDRBK5kmBjG4hv09l9BLfwWR/vX2WwljC19EH34PM+dzPGM/BJf7v0Cs94+R0nIk94r\nJP40t3oPU5CGujhCumU+VHmeLfcjjDsZi8nXKZZmKE1cwZghcZLhVVaJu2uUyxMYdwqVHGLcKgJD\nVn6CMfV1DvUMIjnBOkWETUGPMMHsj70fi2Uv2UQJRVGU3mwJVxxmu1hjMFYzsD2O00Pupd+hZqaQ\n0mE7W8cTDkq47KYbzLHCsd3jnr1OgSJ1VaMgHAZZj6JTZbV4jmm5SF92WItuMsMkTxU+RihDYmJ6\npsVJekhAyJScp+LXGVOTp9doLSM7AE5PnVzh5YuFc+9ZeZDK5XLvWUlmEECUGsqyR7L1r4knfoNe\nlLG29YBw4kOUotv8wVqBy/IFvjV4hgnR4CQpc9G7TiYdXuxepuQalGmTehP8UuULbDkfoFIqspT+\nOdVAEc59EEVML5KE9csMj1+iXFvB+PPI9AArCwg0WeUxZNbgUM9QFH1AgNWnnVH+9I+7HTIxIPOb\neGIJKzJ8UaCrW7T1CQqPiCHKOLwQfwWbCaruOAfxBlpBiRLH6R6uCqjbCTa4RUCRiqxREmOkRCQk\nrJQusuydx2LYTTZJZcyF4BEuV85z0GjSM12Osh0KssisWsJ3AqbdhbeuMTJDjDVvlX/mi4Vz73V5\nkMrlcu9Jp8PlFiUhcATe3f+F3eKnMf4Cezf+gGH4Ac4Efb78Rpey3uMwmsBIl66GGXXAuNPi1eHj\nuE6A1gNcJ+TDwVfZkY8yXqywYL/DhNsgWPhVXEZ0Eoeweobh0TcpVc9iwgVI2xjhIIRAlx5+c/5p\nhUDs4Ir09EKtwXqTP/Z+jrI9/sd/uIwrziGFRFFgJ3mAtQorTh+jrcW32RmtMenMcWL32IkfUFI1\nYp2wzzYTzLBvtvBsiRI1HDwKIiQSfabcRc77VymIAo3sgKZpsOytsuJfJrUJHd1mM7lDKMvMOWdx\npWTaWUTKvxok1zYDC0KIfLFw7n0jD1K5XO49qR9rQk+Sakt5639jXTyFX79C8/6/Zz29yMXZgNdu\nv0a3k7DiNXnRPM4Yx0iheLb6Ol9tXqNNkZpMGXdjVgt7jLx5asU6k3KHWX0Tb/mXCFREP/MISzPE\nx89TrK1gK+exaQ+V9sArk4UXELp3+iaeTSiKPikuCIl163/jfSQ65kjv4loPIQUlVeMo3aNnWjjW\nQ5PQTprcSF9GpYqSW2YzvoMnXerMsKvX8G2Iki4nHFC3E3Rlh7qZIpYRvgp4qPAE4+4UXd1hQ29S\nFWM8E34SJRyGuseB3mEqG+OM8xCZTBlXMxTebCTPbEpiY773GC+QYV6omXtfyYNULpd7z+lFGUVf\nMkoMtfaX2Ot7BHOPkx59i1ca48zNL9Def403jj2eKF/nL1rPMC/WObTT/P3KH3EjepQ9FjAo5p1t\nlBMw4Y3QhTPUvQbz2bfw5j5K6EiGqYPjlklbbxAUJ7HVR0CPcKIdjD+FLqwgbHJabYBBxvtoFJl1\nfmyIamZHDE0ficJVPo5wuR/dwLc+UkniLOZW9hLtqEHZHWM/3STTCRNylpY+Zs8+wKXAgA4TZpqm\nOCElo2YnSFXM+eARZv15MmvYTTZwrMd57xHqapyEiD29gcRlWV6i5nkYN6CkKsD3D5KfBihPePli\n4dz7Uh6kcrnce8r3hssHsaGq1+ntv4Rc+G2ywR4vbo8oTz5GSe/wb+67XFUv8e3Wo8zYDXZY5BeL\nf8o211hPVxnhcZb7DJ05ng1fYuBeYD6MWMm+TXH8CsVwnMTY0+XCoz1cx0dMfBRMjNO7jg6Wsf40\nAoMpLAECOdoEGRDbgJH96zuUtNXsp1sYq3Gly7iYZSO7y9AMCCmQYVmL77MfrxPIApmBB/F1ptQc\n0vHYiTcQuGihqYoQieLQ7DGjlhiKPpNqljP+JYSUtLMmCMukO8+0miMlYcesIaxkUV4EleFLj+XC\nWY77Pay1p43kb1YZKKHyxcK597U8SOVyufeMKD0t3IwzS0kkmHv/guHCf0cUDzjaeoOe+wwPl0f8\nwQttFpw1tkZzOLbPHrM8WfouxpviVmcRrQoss0GbKX6t8CIn8jznarCQvUCpPEE4eRWd9Im1wBEG\nofvI5c9DFuF0X0KHF0GFoDxMsAhCnYYoFMat/I0hqqvbNLNjsJa6O0liYt6IX6RoyxRUwEl6wL30\nJlmagRWsRXeoyApz8iyNbJe+7gOGQAVM6xXWucWEnaXuTuBJj4e8j1FwAiI9xBhD1RmjLsdwlMdB\ntoO1hmX3AkiBQjKhlt6ag4rMCIv5vkLN4t/NNzaX+zmWB6lcLveeoI0lfXMFjKsE3p3/gd2J/xyT\npqjDv+C14eM8saJ47vXbiOgEP4jY1Sv4pEyLE1YKTb7RfoJUhYS2yZCAR9yX2TKXeGxcMJZcpxZY\nwoXPIJMdeqnED+qY/l3U6j9B6D5O92XSwlUEGdarYPyF0xAV7YHJMMEcqB/9FpuxhsNsh4HpEYoS\n084Ct+NXyaymqur00i5r8Q16owZSehymO2Q2YlGeZyi7bGW3yUjxCVkVF7mtrzOky6xdJXNiLrjX\nKHtjOChSYkJZxFUBRVWip9skacqie4aCKpLahHE1jSdPKwsSGzPQAoMBbD4Hlct9nzxI5XK5dz1r\nLYNYM+FJGsYytvPPWXc/jecFFFpf5/cPL3J5ocaDtVtsN2MeKjT4RvcqdfbpMcEvjv0lz/U+wkgU\nwWhq3pBpcciePMOvzqSE4ogp75jgzD9GRXfpJgFecQbdvo6z+lvIrIPs3SAtXkTaISZYxPjzIB1E\ndIhI2+jiOZAez909oTFI0MbyO//6u3z+iQWePFtgN91AIphxl+iaJq9GzzEu5ojFkLuj65xkBygE\nTdOibY6ZE2dQHuzF63RMA58Cq84lmrrF6/YFVrhIz+lQk+MsFJZxpI+yEle5KBPgqYCMhEZ2wJJ7\njrIaY2i7hLJEKEsAZDYjsRGS09DkCT9fLJzL/ZD8X0Qul3vX60Waoi/px5pK44/YHtUIZi7g917l\nK9tVJsfnsfEh39rOeNjf4KX+ZWbYZodV/kn59/j26MN0bIVeUuRq6R5S+XRNmQW7iWCaBe4RLv1H\nuMM79FMHtzhL2rqNv/QPkGaIGDxAB4uorIUuXsIEMyBdRNJAJgfo0kMgHZ67e8LvfvnuW9e90Rjy\nu1++yz/+uMsnL85RZZyb8cv4+EyoWXajTba5i0kgSvvsmnVKjLHsXqKbHbMf75MSsyBXmRBTvJG9\nTJkq02oO5TpcU89QcANCSkipsMZijMECfTrMOstMq3m6pomUkjm5ApyejkV2iHgzQEmhKKoSQ9H7\nu//m5nI/5/Iglcvl3tWGiabgnQ6XT8s32Dx6A7X8XyK617m106Itn+TJ6ojfe77BGW+Hu8MFAtNk\ni7N8rvAn3LKPc5hNMUwLXAjuETs1qqLPgtpmqKqc5zsUpp/E1R1GiUEUl0l66xTnPopVp7NP1h1D\n6Ra69BDGnwbp8Tv/99eZc7ZZSy9geA2AxiD5kffwb55L+KObf0nqtvGjaWLV5jc/nWATTSoNa/EN\nLILV4Apd22E7XueEXaaY44zzDGv6DY7NDtMsgatZURcpBzXqZhKpLNJ6DE0frMUIy4w7x6Jzlo5p\nEtkRs97yW9cyMoO3uqAEUHjzdCqXy/1oeZDK5XLvWt8bLk+1paAP6d39fxgu/teY7hqmeZOX+o/z\n7IrDl165ToUuUSZpG4+IKtec6+hCnXu9JTJ8xtUBwilSFH1WwyNupZN8MHiBcOwhXL9KMjwkLT6E\nHWwSjl3EFmaRwy0QDjJrossPY7wpkD5kAxadDe6mV7D81SyRNvZH3oc2YLXFtVW65TcwYoTOFllP\n7jESLaZZxglcDqNdtlnDx+dJ9TEiBnwn+yZV6tTEOHUxxmywyIQ7g4uHlYJID4hsG4Fk1l9myT3H\nwHYZ2B6TzhyOPP01ENvodNGxFVhhKIh8sXAu95PIg1Qul3tXyrRFG4urBFZHBNv/kt7Sf0bSPGZ8\n+DK/d3CFx5erXL/zCu2B5VzhmG93LuGRUqXLtfo2f958Ci0CHDtkopiihGTG71CqzvJk8qcMRQWn\ncgYbbTMKriBHOxRKp11RcrgOJkWYAbr45kmUKkA2wum9zn//j/4T+KEg8l/9q1fZakZvu5f5MZd/\n9NkSB3YLkUzSzI64PnqBChMsBxfoJB02ovu0OeER8TTThXleH34bjWaMccqqzGJwgXFnmpoaJxUx\niY1pZg2UkMy5S5zxr5DYiIHpUFF1Ann65mBqE1KbIFFYLL4M8sXCudw7kL92kcvl3nWstW/1RcVJ\nRn3vX7KjPopxykwnL/An2wvMjE0xPLnHa4cu18IHvNy9SJEOfUr86sTX+FbvGpGskWQp54MNUkIq\nbsziRIlz4hUyWWQnW0ZGm3TUeVRyhO8G2MlPIQcbyGyAMEN0eBETzp3WHegIp/cdsuoHfiBEWWs5\nSvf48CP6R97P2cubdLMWozjiZvwKR3aPFfcCvutxMjrmpn4VH49fKvwmWmheHH4di6KmxlnxL/NI\n5YOcDx6i6JRISDhO9jlKdplz5/lQ6dMsexfomRZKOky58wQyRFvN0PTR9vSalFCEspSHqFzuHcpP\npHK53LtOL9KUA0U30ky0/h3bo3HE7BPUut/guf2AgbPMvGrz/96OuBys8Wp3Fdd2aTLPb1T+gFdH\nj9E242RpysVwk7aYoyyGPDw9oGZOqFUKHB7VmHX26MoP45kWSjnYuV9BDe4iGYDIMIUVTLgIqgh6\niNN7naz2Afi+aoChHnCQbgOGz1xcJLX3+f1vptjMY7yWcvXKMYuLTW7EdxnqLnUm8FSBXtbjnv0u\nAsWn1efJvAEvj77BgCETjDMRzLPorjInV7BKE9uYk/SYrm6w6K9yufAErnDp6y6e8JhxF4HTUDey\nAyR/FZjCfA4ql/up5UEql8u9qwxiTegp+rGh2v0ajVYDM/tPKfWfZ2/Y4dXuOZ464/LF5+8x7w84\njIsMjaDDHM+qb3Bsl9hLZ4gSyVJhm8QdB2358OwuLpKZUkSpPEdJ7nNoppF2gJAecu7voYa3EXoA\ngHEmMOEZcEqQ9VGDu2SVx+DNE53MprR1g2Z2TIEikR2yFt/hI6tz/OGdLxIVDvj1p66wHa9xfbhJ\nQIkZd4nURqynt2lwzFN8lNnSPHf7N9kfbVGkxLJaZTE8x7JzAUc6aDStuMmJ2WfSneYTxV8hVEWG\npkdmE8bU1FtzUJEZYrFIJBaTB6hc7m9BHqRyudy7RpQalBRkxhIOrxO3bjCa/GWc4U10Z40vHl7l\n8tIkr7z+52QUCPUR95JLRPgsy23GK4JX+qsMTci0v0vouTSzgM/NvI4WRc4HW9QqsxgVEJkAjMDK\nEHfqg8jRBugIi8TKAFO5gnXKiKyLGG2hSxdB+hhrGJkB7eyEIQMCG3KodwlVCWkl17MXSLwuGRkv\njb6Oi/f/sXdfQZJd953nv+f6vGkrK7N8l+nqam8ANBwJ0IBOBCmJMqsVV2M4MYyhXjQRE7uKWIVi\nNiTFBhUzuxOKWGliXjRSxK5iRGlGIilpRFIkRRIA4Rqm0Y32vryv9Hn9OfvQAIYSQY/uhjmfp86b\nXXlvnay68at7//n/U7dHMTHZTla4zkVGmeJn8/+URrzBU91vkBAywiST+d1MmXP4dgGloBf3WBKX\nKJqDvC//KGWrSiQDAtmjYAzgGTdHt0QqJFPpK3VQElfkdENNTXuD6CCladpbwqvF5Y4lSLoLWNtP\nsuPdT5IJBoMX+PzqNMNju2jf+BJXW3WO+8/zRONuJBk2KQ8PnObbnXtpqwrD1hKDbshyPM7Hhk8S\nmyXuzl2kWJlBORWyuEMvyxGTIzd4CBFvAikKBQJk+S6UVUIkTUS0jvImwMwTyj6RDNlM15EkpCql\nLZv4Ms9qtkBbNZCZpJ87TyxC8syQt/N0kzbzXMTE5RH75/DMHOd6J1jiBkOMM+EdYsrey4g1QWok\nhHGfea7gizzv9n6KillDCUUv6+CZPhXj5mDhVCXEKsJ45VRvCQtLvH5ndU3Tfjw6SGma9qb16f/3\nBQD+8z+/h358sy6q02lQbXyVJTVBkj/AZPvP+OZKndieotx+ka+u1rnHOcmJxhEUEV1q/Er5i7wQ\n3EszqzHAKlUnYCGb4n0DL5OZFe7JnaIwsB/DLSDjBj01REiLDlWESkEYKAmGDEgH34+yy4hkBxG3\nUM4gseWTyC6dtMNWuoKNQ48uAkGqIi6mVzClxWqwyJK6AfC6XAkAACAASURBVEistIyFydXkEgFN\n9nKMmcJ+1oJFnkm+gYvLfutuprw5djv7iEVEL+mznF5BYHLUfoBhb4Kc4dPPeliY1OwR4ObQ40gF\nr9VBCQG+0LfxNO1W0EFK07Tb5tVg9EefOv4jfd2rxeWdfkKt9dcsBxWyofezq/PXnN7KM59MMVva\n4MvnAvblVrjaHycB2gzz07m/4UJ2hI14CFO2GS80WEx3cyR/nZyf5x77BPnBgxhuEZI2bVkGu0yg\nFIlwQN0c0mtG6yTDP4WyK4h4G2RIZtoElgcyYS1eoqvaGAgacoMcedazFXpZhyDqcSF7EVflGLJG\nkWqByFnlKg0qVLjf+RmkSHm++xgttphghil/L9PmASzHJFQJy/F1MlL2WscYcsYoWCUSYgLZo2rW\nMQwDpdRrHclvttNUug5K024xHaQ0TXtTkwp8x6QfSyo7f8FGWCAduJ9K8DzLOyGnO3sYruZ54dwL\nFCyXXi9iORmjS4Xj5vM0zCnWw0HCVHC8eI357AAj7g7jJcER6zny9T1YuWGINuikFsqtki8NExEi\nUEjhYPXPkdQ/jrKriGgDhEkku0hvklj2uRFdwCFHqAIsaZCKlGvpRYQUXAxeoiUb1I1xhICddIPA\nXcTA4qB5hCFznOX4Olc5S54Sx933MuXtpSgqKANWoxukQjJrHmDArVG2BjAwiFRA3ijjmTfroEIZ\noJAIDCSZbqipabeJDlKapr1pyZslSWRK4W59ja4qEnnj5EQX1TrDie09ePlJGte+wEY8xXHvBN9M\n7ibEZ5R1hooJl/sjbKYV7s89z0o8g2sGHBlsM2OcplqbwC7txwgv048lmbcbvzKFIRIUBomysbun\niesfQ3l1jGiNUAhI1jC8vSxGl2hmO5jCosEWOZFjXa6QqZT13gLX5QXKDDFhzNCSW2yyASictE6+\nP0nRqfJ88Bg9+swZx5grHKFu1EmMhLVkkTRLGbOmGHSHGDBrOOSIVYBj5CmZAwDEKiJVCSYWEoUt\nbF0HpWm3kQ5Smqa9KSWZfO3fcvs5LBnSjn3UwDTlnf/C1zfH6buzDO58nmfbs7zHe5zHmvcR4GCT\n8ED5IhfjGVaTIQ7nz9BglEA6fHB4nmGxyPhAAbv+AFbzBaIkpJ87Tq4yjSU7YFcIpcde9zzx4L9A\n5caQwQKB6eIlbRpOnWvRs1ipRd/o4GV5MjIWkxv0ky7n4xfJkMxYB+ikba7L82SAjcsuMcX5fkbf\nnue54BID1HiX/2GGnDEyQ7GaLUJsUDdHqdnDFK0KvnHz9aVIGTSHAUhVSqxCzFdO40IIXQelaXeA\nDlKapr3pSKVemaMHdbFMIYWVwCQZeDcz7c/x2Nog2+Z+auFTPLUxyd3mC5zoHaKrHCQ2Hxt4kqvR\nBMv9EUbMFfK2zWI4yEOVq5StJnsGAnJjP4XVPkkSd2nlHiBXnsZTDZRdQxo+e53znIuPIP0Zkv4l\nlFMnF7e5RIdWtEasAvpIchTZksuEWZdLvXNscLMruSkt5tNLBIR4eBQpMOMeIE0jmqWvoMyE+3M/\nx5Szl4SULbkOqaBqjzNoV8kbZYpWEQOTjIyKMYhhGEglCVUfAxOBQOk6KE27o3SQ0jTtTacTZpQ8\nk5xqss85y2pwD0n5CJPx33Nq3WA9m8WXi5xcFtTsHVb6FbaTMl3yPOI/yXw6xkZYw6XDbHGTl8ID\nHMqvMJgLOZa/jj/6KGb/AlnSZid3DLc4TJ5tUmsYIRy+feEan99+hL50+LU/PcH/fHwXR8cXOafW\niIVFX3TxKSAJ2IgXWOxf46o8T1kMcNi4j8XkCtus4lPGx2fYmmTMmuZ8eIp5LuNFoxTbxxg+PMG2\n3MDEZsCuUzNG8EWBnJnHNVwyUnyjiGM4AASyh0C81g/KE/5bug4qfvRDADhf/vodPhJN+/HpIKVp\n2ptKN8oouCZhFHG/9yzzySSJO0KNVZbWl7iR7idWgq3VKyQMUowv8HxyhA5FjoiXCcw67cCnpzwe\nLJ3iYriXMWubyVLMfcWXyY8+ggjXMaJNNoz9OF6dgi1JzRqGUHzr8ir//vmR145noZHxH75+g198\nuMOu2RBL2ZRFlfVsmfVoiSvReTISDhh306bJyewZPCx8iuQocjR/H1vxKt8Mv0iOPD+b/xX+OFwk\ndpt05QBD5jh1awRHuHiWj4ePEhLHcPGNQeBmQ02pMkwsUhJckdMz8TTtTeK2B6nf/d3f5dSpUwgh\n+M3f/E2OHj16uw9B07Q3qTCR2KZAKoW99nnOx3OURJdiboBk9Quc687QEiPItS8zH81wn/kNngjf\nxQ5VJlmiUnbpxgYr6TAPFE6xmu3CEBlmtkmp/zzf7I7SXllkxr7KajrGRtqnLTYBhUOGIRKeau5/\n3WP7y2cFzpU1lBHSs5cJc9dI7R5+tAshSzzmfgtlBKg0xwfmhphzDpG3SjzXe4wdNrjPfD8T/m52\nslVSq4EbTnDIvQfbdHFwKVAmJsQybUpGBYBExSQqxsRGoXQdlKa9Cd3WGQEnTpxgfn6eP//zP+ez\nn/0sn/3sZ2/n7jVNexNLMnkzQJmCdOUryMJBBsU28+ksxeaXeHFniI61D3v9a1wKpzgmnuZEeB9r\nqs4ATSaLLfqJ4Ep/lIPeJTqiRlt6HCx3OeKfJyLPqtzFHvsSjbTKejrGhhrDJiVnJIRISsYWnex7\nBJUkT+Ru0Cq+QL9wDqFs8v1ZEqNF2z+LQmJleQrZIPd576WVNPha//P4FPj5wqcxPZN1ucCoPU2+\ncxdeNELBKlMxB7GEjTIVw/YEJaNCpjL6sotS6ua+xc06KFs4t+8N0TTth3Jbr0g9/fTTfOhDN++J\nz87O0mq16Ha7FAr6LyxNeyd7tbi86Fn0lp8g7xVZaWxxJd3Lu3JP8tzKCH33KOna41zp1ZgwFrkc\n7WItqWERciC3QixzrPWL1J0dlOXSSTzG/ID7q1eZK9sw8gk+tPUVQjFL0znKR0eOYMVLZJSJrRJ+\n9zKd0X/D039+nqXmd9cdFUod5o4tYpJnyNxLlEUscBFJTIFZLGGwzzuKkorHwy8hUDxq/xO69hbX\nknPMuUcYtycxTRdLXkBIB8fwSFVC3RrDMiyUUgSqhyksDIxXaqT0+VHT3sxua5Da2tri0KFDrz2u\nVqtsbm7qIKVp73CdMKOcswi2XqZodlkOBsncKnvsJ0njhJZzgN72eRYa4NiQhE0W4ruIMDhqXyUy\n8nT7oEyTQbuHVA7SyvG++hn25Ndg5Oext/+eBIcd8zADQwcwwuvEIkPZE+Q6L7Bdf5Tt7gmOHTZY\n+vZ3n5Pqc6epWnVc4bCUXKZJkzJVDMoMmSPsMQ/zQvAYayxy2HiQsldmKbvCbmMf9/r7cY0cjuFi\nCgMjLaCskJJRwTN8AELZR6GwhE2qEjzh68HCmvYWcEeLzV+7bP19DAz4WNb3L6qs14tv1CFp/4he\n21vjnbiuX3t5lZ1eTCoV/+a/neZfvGc3Hz4ySjtImRk0SVrzFJ0VGvmjFDrLTAznedxY5FR0gIks\nZLO5TuxOsDf+Ok+FD9OmwH7jKq6Xx8i6bKlx5pwlKlbGhWSKX5w4y/2Di+QnPwDtk0jHYM29n5mJ\ng8hsG3IWVm4/yeYTbEw/TCM+x6IXc/AIjLomf/hEAnGefKXN3MHr7JmTtOKEq/0rmIbJVG4aTMG9\nhXexGizxjf5fMFqY4FH3F1mTCxQsj3eXf5G6NYwCTNPAEz6B7GEaJnY6zq7hYSIZkqqUkqiQqgTH\ncLGFfaffrtf1Rv/crpnGLXndt5p3+vf/Vndbg9TQ0BBbW1uvPd7Y2KBer3/fr2k0+t/3+Xq9yOZm\n5w05Pu0f0mt7a7wT1/XxS1v831+99Nrjq+td/o+/OM3WTp/37q3RS3uo1a/Sr3yAzsqLVEcOMn/m\n77gejhMkDguLZ1hNp7iXL/Pt/gMsM8gkN3ByFl66yalgjhl/mXpe8WJjhofr1ziWv4T0Z+jsLCGC\nbVaMg+RKg2y3GnjhDn1/Arn+FTb8GZbWn2PJzthl7Eb2rzFfeIbunhsgDT6wbwbDUJxrLNKnT40q\nBjYD6Rj1dJS/a/93UmIOiQfo0GA5XeZu/z2MiRnSdkLT6OOKHKHsYImQEWcXZlImEwnz66tYOKTE\nWMLGES59QiC8Y+/V93Irfm6zV5quvtN+H77TO/F88JN4M4bO2xqkHnroIf7gD/6AT37yk5w9e5ah\noSF9W0/T3gZeHUb8vWz34tfd/h+/dZU/PXGDh9xvcia+i2Hjb1jJJjlq/heOTI+yktQZ5wIb8Sx7\n5QlORUe4LicYYhXfNplw1niqMc2Ys0HdM7jRLTKVb/ChkUsUi1Uyp4rZvcgak5ilEVy/huieo+GO\nYrRfYMHzuKGuIJ1Rpq0Jrre/yvVkh9SysGSOVEraaoedbA2HHMOMkDMLzBl3cz45wUX5InUmyNkF\nOjQ45r6LaW8Ox3BRQJ4ioQgIVZ+aNYZnemQq4w/+2T4sYZOpFKnroN7xdD+tt7bbGqTuueceDh06\nxCc/+UmEEPzWb/3W7dy9pml3SCZf/zZ+JhX3Ok9xNZ4jLxtsU2effZFMSrbNo8yYX2c1HGKWRdbT\nHJfSaXzaVCzFdH6L081RyiJguAi9MCOwS3xm5jHqBYgKh7DbL7KlyqjyHvKVPWStZ+l540Td06yJ\nLlfxGfSO0sg2eW77z+ghsawyrpBkMiGyN9imxBAjGMJh2p4lyAKeTv4WB59RplC2YNyZ5FD+Xqpm\nnViF2MIjVgGh7FO2BijZAzcLyWXvZjtNYZGqRA8W1rS3gdteI/Xrv/7rt3uXmqbdYn/0qePf9/l/\n/bmXuLH93bfpp8qSz3zkAVajIYxwnakBwdkLiyyID5A1nmI9rGEY4McrnI4eIgWmRJeJ3DbL/TyJ\nMhnPhxTVNs9nh/lf9zzFWL5PXHoQs/U0HYpE7jG86i5k62k6dpVW/xQb6QqtgcPUrVlO9p8iC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Xoz24MsNRbc7197AV+1gk+PQR+FhkVAom+7wLzHcrDOW7lFzBvrqJLE9B5yLFoeNc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dleY9HeINRj2uqYmqyTZYqd+Ba+KFEwFe7rm8jU4kjt48kiv1r8l0zEiECPEAhcfBbsFT6I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4hMmTfwdARcVO3nnnTZ5//lncbg9jx47H5XIzcOAg7rzzv44Y19E4HA7y87u/zCM9PZ2c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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcac8b279e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.FacetGrid(dfhoggs, size=8, hue='outlier', hue_order=[True,False],\n",
    "                  palette='Set1', legend_out=False)\n",
    "\n",
    "lm = lambda x, samp: samp['b0_intercept'] + samp['b1_slope'] * x\n",
    "\n",
    "pm.plot_posterior_predictive_glm(traces_ols[-1000:],\n",
    "        eval=np.linspace(-3, 3, 10), lm=lm, samples=200, color='#22CC00', alpha=.2)\n",
    "\n",
    "pm.plot_posterior_predictive_glm(traces_studentt[-1000:], lm=lm,\n",
    "        eval=np.linspace(-3, 3, 10), samples=200, color='#FFA500', alpha=.5)\n",
    "\n",
    "pm.plot_posterior_predictive_glm(traces_signoise[-1000:], lm=lm,\n",
    "        eval=np.linspace(-3, 3, 10), samples=200, color='#357EC7', alpha=.3)\n",
    "\n",
    "_ = g.map(plt.errorbar, 'x', 'y', 'sigma_y', 'sigma_x', marker=\"o\", ls='').add_legend()\n",
    "\n",
    "_ = g.axes[0][0].annotate('OLS Fit: Green\\nStudent-T Fit: Orange\\nSignal Vs Noise Fit: Blue',\n",
    "                          size='x-large', xy=(1,0), xycoords='axes fraction',\n",
    "                          xytext=(-160,10), textcoords='offset points')\n",
    "_ = g.axes[0][0].set_ylim(ylims)\n",
    "_ = g.axes[0][0].set_xlim(xlims)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observe**:\n",
    "\n",
    "+ The posterior preditive fit for:\n",
    "    + the **OLS model** is shown in **Green** and as expected, it doesn't appear to fit the majority of our datapoints very well, skewed by outliers\n",
    "    + the **Robust Student-T model** is shown in **Orange** and does appear to fit the 'main axis' of datapoints quite well, ignoring outliers\n",
    "    + the **Robust Signal vs Noise model** is shown in **Blue** and also appears to fit the 'main axis' of datapoints rather well, ignoring outliers.\n",
    "    \n",
    "    \n",
    "+ We see that the **Robust Signal vs Noise model** also yields specific estimates of _which_ datapoints are outliers:\n",
    "    + 17 'inlier' datapoints, in **Blue** and\n",
    "    + 3 'outlier' datapoints shown in **Red**.\n",
    "    + From a simple visual inspection, the classification seems fair, and agrees with Jake Vanderplas' findings.\n",
    "    \n",
    "    \n",
    "+ Overall, it seems that:\n",
    "    + the **Signal vs Noise model** behaves as promised, yielding a robust regression estimate and explicit labelling of inliers / outliers, but\n",
    "    + the **Signal vs Noise model** is quite complex and whilst the regression seems robust and stable, the actual inlier / outlier labelling seems slightly unstable\n",
    "    + if you simply want a robust regression without inlier / outlier labelling, the **Student-T model** may be a good compromise, offering a simple model, quick sampling, and a very similar estimate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example originally contributed by Jonathan Sedar 2015-12-21 [github.com/jonsedar](https://github.com/jonsedar)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
