{ "cells": [ { "cell_type": "markdown", "id": "f1494970", "metadata": {}, "source": [ "# Astronomy ML Homework — Jupyter Notebook with Solutions\n", "\n", "This notebook turns a single **Intro to ML / regression** lecture into a compact astronomy-flavored homework set with **worked solutions**.\n", "\n", "It is **self-contained**: all data are simulated but designed to resemble common astronomical tasks.\n", "\n", "Topics:\n", "1. Photometric redshift with linear and multiple regression \n", "2. Stellar temperature from color with polynomial regression and cross-validation \n", "3. Weighted regression with heteroscedastic errors \n", "4. Robust regression in the presence of outliers \n", "5. Gaussian-process regression for an irregularly sampled light curve \n", "6. A second Gaussian-process exercise: periodic vs. non-periodic kernels \n", "7. Optional: star–galaxy classification with logistic regression" ] }, { "cell_type": "markdown", "id": "f8fa43ff", "metadata": {}, "source": [ "## How to use this notebook\n", "\n", "Each section contains:\n", "- a short **problem statement**\n", "- a **solution** with code\n", "- a brief **interpretation**\n", "\n", "You can assign this as:\n", "- a complete worked example notebook,\n", "- a homework handout after deleting the solution cells,\n", "- or a live lecture/demo notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "e3ecdadd", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.model_selection import train_test_split, cross_val_score\n", "from sklearn.linear_model import LinearRegression, HuberRegressor, LogisticRegression\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import PolynomialFeatures, StandardScaler\n", "from sklearn.metrics import mean_squared_error, r2_score, accuracy_score, confusion_matrix, classification_report\n", "from sklearn.gaussian_process import GaussianProcessRegressor\n", "from sklearn.gaussian_process.kernels import (\n", " RBF,\n", " WhiteKernel,\n", " ConstantKernel as C,\n", " ExpSineSquared\n", ")\n", "\n", "rng = np.random.default_rng(42)" ] }, { "cell_type": "markdown", "id": "6934393e", "metadata": {}, "source": [ "## 1. Photometric redshift with linear and multiple regression\n", "\n", "### Problem\n", "A common astronomy problem is to estimate the redshift of a galaxy from broadband photometry.\n", "\n", "Simulate a galaxy sample with magnitudes in three bands and use them to predict redshift.\n", "\n", "1. Fit a model using one color only.\n", "2. Fit a model using multiple colors.\n", "3. Compare train/test MSE and \\(R^2\\).\n", "4. Inspect the residuals." ] }, { "cell_type": "code", "execution_count": 2, "id": "c64e3e16", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "One-color model\n", " train MSE: 0.055515686032630476\n", " test MSE: 0.06596202336318323\n", " train R^2: 0.5500446738977716\n", " test R^2: 0.3671399334201221\n", "\n", "Two-color model\n", " train MSE: 0.028320448860055216\n", " test MSE: 0.02941078639152566\n", " train R^2: 0.7704624095846044\n", " test R^2: 0.7178238130836916\n" ] } ], "source": [ "# Simulate galaxy photometry and redshift\n", "n = 600\n", "z = rng.uniform(0.0, 1.2, n)\n", "\n", "g = 21.5 + 2.2*z + rng.normal(0, 0.18, n)\n", "r = 20.9 + 1.5*z + rng.normal(0, 0.15, n)\n", "i = 20.5 + 1.0*z + rng.normal(0, 0.15, n)\n", "\n", "gr = g - r\n", "ri = r - i\n", "\n", "X1 = gr.reshape(-1, 1)\n", "X2 = np.column_stack([gr, ri])\n", "\n", "X1_train, X1_test, y_train, y_test = train_test_split(X1, z, test_size=0.25, random_state=0)\n", "X2_train, X2_test, _, _ = train_test_split(X2, z, test_size=0.25, random_state=0)\n", "\n", "m1 = LinearRegression().fit(X1_train, y_train)\n", "m2 = LinearRegression().fit(X2_train, y_train)\n", "\n", "pred1_train = m1.predict(X1_train)\n", "pred1_test = m1.predict(X1_test)\n", "pred2_train = m2.predict(X2_train)\n", "pred2_test = m2.predict(X2_test)\n", "\n", "print(\"One-color model\")\n", "print(\" train MSE:\", mean_squared_error(y_train, pred1_train))\n", "print(\" test MSE:\", mean_squared_error(y_test, pred1_test))\n", "print(\" train R^2:\", r2_score(y_train, pred1_train))\n", "print(\" test R^2:\", r2_score(y_test, pred1_test))\n", "\n", "print(\"\\nTwo-color model\")\n", "print(\" train MSE:\", mean_squared_error(y_train, pred2_train))\n", "print(\" test MSE:\", mean_squared_error(y_test, pred2_test))\n", "print(\" train R^2:\", r2_score(y_train, pred2_train))\n", "print(\" test R^2:\", r2_score(y_test, pred2_test))" ] }, { "cell_type": "code", "execution_count": 3, "id": "caa4c7bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7,5))\n", "ax.scatter(y_test, pred1_test - y_test, s=20, alpha=0.7, label=\"one color\")\n", "ax.scatter(y_test, pred2_test - y_test, s=20, alpha=0.7, label=\"two colors\")\n", "ax.axhline(0, linestyle=\"--\")\n", "ax.set_xlabel(\"True redshift\")\n", "ax.set_ylabel(\"Residual (prediction - truth)\")\n", "ax.set_title(\"Photometric redshift residuals\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "be6fbc24", "metadata": {}, "source": [ "### Interpretation\n", "Using more than one color usually improves performance because the mapping between SED shape and redshift is not one-dimensional." ] }, { "cell_type": "markdown", "id": "b2072279", "metadata": {}, "source": [ "## 2. Stellar temperature from color: polynomial regression and model selection\n", "\n", "### Problem\n", "A star's color is related to its effective temperature, but here we deliberately simulate a relation with strong curvature and a local bend. A straight line should fail badly, while an intermediate-order polynomial should work much better.\n", "\n", "1. Fit polynomial models of degree 1, 2, 4, and 9.\n", "2. Use cross-validation to choose the degree.\n", "3. Compare the fitted curves.\n", "4. Compare the test-set MSE for the linear model and the best polynomial model.\n", "5. Explain why the degree-9 model is not automatically the best even if it looks flexible." ] }, { "cell_type": "code", "execution_count": 4, "id": "eec70b2c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "degree 1: CV MSE = 236728.78\n", "degree 2: CV MSE = 69992.58\n", "degree 4: CV MSE = 38469.13\n", "degree 9: CV MSE = 17596.11\n", "\n", "Best degree by CV: 9\n", "Linear-model test MSE: 290489.13726068434\n", "Best-polynomial test MSE: 17820.980240511173\n", "MSE ratio (linear / best): 16.300401736619175\n" ] } ], "source": [ "n = 340\n", "color = rng.uniform(-0.4, 2.2, n)\n", "\n", "# Construct a strongly curved relation with an inflection and a local feature\n", "Teff_true = (\n", " 10300\n", " - 6500*color\n", " + 3200*color**2\n", " - 850*color**3\n", " + 900*np.exp(-0.5*((color - 0.25)/0.16)**2)\n", ")\n", "\n", "Teff = Teff_true + rng.normal(0, 110, n)\n", "\n", "X = color.reshape(-1, 1)\n", "X_train, X_test, y_train, y_test = train_test_split(X, Teff, test_size=0.25, random_state=7)\n", "\n", "degrees = [1, 2, 4, 9]\n", "cv_means = []\n", "models = {}\n", "\n", "for deg in degrees:\n", " model = make_pipeline(PolynomialFeatures(deg), LinearRegression())\n", " scores = cross_val_score(model, X_train, y_train, cv=5, scoring=\"neg_mean_squared_error\")\n", " cv_mse = -scores.mean()\n", " cv_means.append(cv_mse)\n", " model.fit(X_train, y_train)\n", " models[deg] = model\n", " print(f\"degree {deg}: CV MSE = {cv_mse:.2f}\")\n", "\n", "best_deg = degrees[int(np.argmin(cv_means))]\n", "best_model = models[best_deg]\n", "\n", "pred_lin = models[1].predict(X_test)\n", "pred_best = best_model.predict(X_test)\n", "\n", "print(\"\\nBest degree by CV:\", best_deg)\n", "print(\"Linear-model test MSE:\", mean_squared_error(y_test, pred_lin))\n", "print(\"Best-polynomial test MSE:\", mean_squared_error(y_test, pred_best))\n", "print(\"MSE ratio (linear / best):\", mean_squared_error(y_test, pred_lin) / mean_squared_error(y_test, pred_best))" ] }, { "cell_type": "code", "execution_count": 5, "id": "d7025246", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_grid = np.linspace(color.min(), color.max(), 600).reshape(-1, 1)\n", "\n", "fig, ax = plt.subplots(figsize=(9,5))\n", "ax.scatter(X_train[:,0], y_train, s=16, alpha=0.28, label=\"training data\")\n", "ax.scatter(X_test[:,0], y_test, s=16, alpha=0.50, label=\"test data\")\n", "\n", "for deg in degrees:\n", " ax.plot(x_grid[:,0], models[deg].predict(x_grid), linewidth=2, label=f\"degree {deg}\")\n", "\n", "ax.plot(\n", " x_grid[:,0],\n", " 10300 - 6500*x_grid[:,0] + 3200*x_grid[:,0]**2 - 850*x_grid[:,0]**3\n", " + 900*np.exp(-0.5*((x_grid[:,0] - 0.25)/0.16)**2),\n", " linestyle=\"--\",\n", " linewidth=2,\n", " label=\"true relation\"\n", ")\n", "ax.set_xlabel(\"Color index\")\n", "ax.set_ylabel(r\"$T_{\\rm eff}$ [K]\")\n", "ax.set_title(\"Polynomial regression for stellar temperature\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "10d7fb0c", "metadata": {}, "source": [ "### Interpretation\n", "This version is built so that the linear fit is visibly wrong over much of the color range. A moderate polynomial should reduce the test error substantially, while the degree-9 fit may become unnecessarily wiggly." ] }, { "cell_type": "markdown", "id": "943b74d2", "metadata": {}, "source": [ "## 3. Weighted regression with heteroscedastic errors\n", "\n", "### Problem\n", "Astronomical measurements often have very different uncertainties from point to point.\n", "\n", "In this exercise, the precise points follow one underlying relation, but the noisy points are both much less reliable and systematically biased upward at high redshift. An unweighted fit should be visibly pulled away from the true relation, while an inverse-variance weighted fit should largely resist that pull.\n", "\n", "1. Fit an unweighted regression.\n", "2. Fit a weighted regression using inverse-variance weights.\n", "3. Compare the fitted slopes and intercepts.\n", "4. Compute a weighted chi-squared for both fits.\n", "5. Explain why the weighted fit is statistically preferred." ] }, { "cell_type": "code", "execution_count": 6, "id": "e037e1c5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True slope: 22.0 True intercept: 35.5\n", "Unweighted slope: 32.42775378629298 intercept: 35.122130091394254\n", "Weighted slope: 22.493616148678775 intercept: 35.476711944095904\n", "Weighted chi^2 for unweighted fit: 3439.51916274097\n", "Weighted chi^2 for weighted fit: 351.3110247276694\n" ] } ], "source": [ "n_precise = 95\n", "n_noisy = 45\n", "\n", "x_precise = np.sort(rng.uniform(0.01, 0.09, n_precise))\n", "x_noisy = np.sort(rng.uniform(0.09, 0.18, n_noisy))\n", "\n", "x = np.concatenate([x_precise, x_noisy])\n", "mu_true = 35.5 + 22.0*x\n", "\n", "sigma_precise = np.full(n_precise, 0.05)\n", "sigma_noisy = np.full(n_noisy, 0.55)\n", "sigma = np.concatenate([sigma_precise, sigma_noisy])\n", "\n", "# Precise low-z points follow the truth closely\n", "mu_precise = 35.5 + 22.0*x_precise + rng.normal(0, sigma_precise)\n", "\n", "# Noisy high-z points are both noisy and biased upward\n", "mu_noisy = 35.5 + 22.0*x_noisy + 1.1 + rng.normal(0, sigma_noisy)\n", "\n", "mu_obs = np.concatenate([mu_precise, mu_noisy])\n", "\n", "X = x.reshape(-1, 1)\n", "\n", "unweighted = LinearRegression().fit(X, mu_obs)\n", "weighted = LinearRegression().fit(X, mu_obs, sample_weight=1/sigma**2)\n", "\n", "xg = np.linspace(x.min(), x.max(), 300).reshape(-1,1)\n", "mu_true_grid = 35.5 + 22.0*xg[:,0]\n", "mu_unw = unweighted.predict(xg)\n", "mu_w = weighted.predict(xg)\n", "\n", "chi2_unw = np.sum(((mu_obs - unweighted.predict(X))/sigma)**2)\n", "chi2_w = np.sum(((mu_obs - weighted.predict(X))/sigma)**2)\n", "\n", "print(\"True slope:\", 22.0, \" True intercept:\", 35.5)\n", "print(\"Unweighted slope:\", unweighted.coef_[0], \" intercept:\", unweighted.intercept_)\n", "print(\"Weighted slope: \", weighted.coef_[0], \" intercept:\", weighted.intercept_)\n", "print(\"Weighted chi^2 for unweighted fit:\", chi2_unw)\n", "print(\"Weighted chi^2 for weighted fit: \", chi2_w)" ] }, { "cell_type": "code", "execution_count": 7, "id": "852e4bfa", "metadata": {}, "outputs": [ { "data": { "image/png": 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f95YtW3B0dKRnz55Gr1Pr1q2xs7N74OtUvXp1nnzyScMyKysro9ftbnZ2drz44ouGxxYWFrRr165Ar9PJkye5dOkSL7zwArdv3zbEmZqayuOPP85ff/2FTqdDq9Wya9cuBg4caPSZ3bBhQ3r16vXA44iKT5JqUe61a9eOHj16mPzc/Z8x6GsBFUWhbt26uLu7G/1cuHCBmJiYBx7r0qVLnDt3zmT7evXqAZjsw8fHx+hxbGwsaWlp1K9f32TfDRs2RKfTGWo6586dS0JCAvXq1aNp06a89dZbRrWjuR/29xs2MDY2loSEBD7//HOTmEeNGmUU89WrV6lTp45JgppXrJGRkYwcORIXFxdDnai/vz+AobbS0tKSDz/8kN9//52qVavSpUsXPvroI6KiovKN935y/7Mvyniy974euUlr9+7dTc7Pn3/+aXRuAOrUqWOyz7yW5XWsy5cvoygK7777rsmx3nvvPeC/1+JBr/3DnturV69St25d1Grjj/aGDRsaPc9c916s5f5NFcdFUkEU5Ph+fn7cunWLy5cvc/DgQVQqFR06dDBKtg8cOECnTp0Mz7sonwVXr17F09MTGxsbo+X5vQ+srKyMLq5yn0dBzmFh3jO5r+298vr7zcuzzz6LWq1m8+bNgP6CfMuWLYZ7P0D/nn7zzTf58ssvcXNzo1evXnz66af3rafO5efnx7Fjx0hPT+fAgQN4enrSqlUrmjdvbnidgoKCDBdOoH+dEhMTqVKlisnzT0lJeeDr5Ovra/J5lt/rVKNGDZO2BX2dcj9HRowYYRLnl19+SWZmJomJicTGxpKenl6k10lUbFJTLSoNnU6HSqXi999/N+qtzFWQSRp0Oh1NmzZlyZIlea738vIyelyQesb8dOnShbCwMH766Sf+/PNPvvzySz755BNWr17N6NGjC7SP3JuUXnzxxXxrPu/t0X8QrVZLz549iY+PZ8aMGTRo0ABbW1tu3LjByJEjjW6MmjJlCgMGDGDHjh3s2rWLd999lwULFrBv3z5atmxZqOMWh3tfj9xYN2zYgIeHh0l7M7OH/wjM71jTpk3Lt1cq9z/8grz2pXFu8/o7AX3C9TBUKlWe2+betPcwx+/cuTMAf/31F1euXKFVq1bY2tri5+fH8uXLSUlJ4cSJE4Z7DKB4PgsKKr/nUBCFec8UVbVq1fDz8+OHH37g//7v/zh06BCRkZF8+OGHRu0WL17MyJEjDe/NSZMmsWDBAg4dOmR08++9OnfuTHZ2Nv/88w8HDhwwJM+5Fz8XL14kNjbWKKnW6XRUqVKFjRs35rnPey9WiqIo7/Xc1+njjz/Od6g9Ozu7PG/6Fo8WSapFpeHr64uiKPj4+Bh6lvOTXzmBr68vp06d4vHHH3+o2a/c3d2xsbEhJCTEZN3FixdRq9VGibmLiwujRo1i1KhRhht4Zs+ezejRow3lI2fPnr3v8ezt7dFqtfTo0eO+sdWqVYuzZ8+iKIrRc7s31jNnzhAaGsr69esZPny4Yfm9o5Lk8vX1ZerUqUydOpVLly7RokULFi9ezLfffgsUvHTD19cX0D/fBz2XgsrdZ5UqVe67z1q1agH6nsN75bUsL7mvl7m5eYHiv99rf3f89zu3eT2P06dPo9PpjHqrL168aPQ8S4qzs3OeX6fnNepEQdWsWZOaNWty4MABrly5YkjKunTpwptvvsmWLVvQarVGN78V5rPgXrVq1WL//v2kpaUZ9VYX9H2Ql/z+BgrznqlVq1ae5UJ5fdbkZ+jQoYwfP56QkBA2b96MjY0NAwYMMGnXtGlTmjZtyv/+9z8OHjxIp06dWL16NfPmzct33+3atcPCwoIDBw5w4MABww2RXbp04YsvvmDv3r2Gx7l8fX3Zs2cPnTp1KnQHRa1atTh//rzJ51lJvE65nyMODg73fZ1yR2gq6uskKi4p/xCVxqBBg9BoNMyZM8ek90FRFG7fvm14bGtrm+dXmkOGDOHGjRt88cUXJuvS09MNI0rkR6PR8MQTT/DTTz8ZDX0WHR3Nd999R+fOnQ1ftd4dD+h7OurUqWPo7XB3d6dLly58/fXXREZGmjyf3OMNHjyYbdu25Zl8x8bGGn7v27cvN2/eZOvWrYZlaWlpfP755ybP4e5j5P5+77B2aWlpZGRkGC3z9fXF3t7eqMfG1tbWaKit/LRq1QofHx+WLl1q0v5he0579eqFg4MDH3zwQZ6jxeSen2rVqtGkSRO++eYbUlJSDOsDAwM5c+ZMgY5VpUoVunbtypo1a/Icfu7u1+JBr31Bz+29+vbtS1RUlOErftCPob1ixQrs7OwMJTyFUZgh9Xx9fQ09krlOnTqV57BjheHn58e+ffs4fPiwIalu0aIF9vb2LFy4EGtra1q3bm1oX5jPgnv16tWL7Oxso88AnU7Hp59++tDx5ybn976vC/Oe6du3L4cOHeLw4cNG6/Pr5c3L4MGD0Wg0fP/992zZsoX+/fsbjeWelJRETk6O0TZNmzZFrVY/sBfWysqKtm3b8v333xMZGWnUU52ens7y5cvx9fXF09PTsM2QIUPQarW8//77JvvLycm57+dGr169uHHjhtHQgxkZGXl+dhdU7rm497itW7fG19eXRYsWGX0+5Mp9nTQaDb169WLHjh1Gn9kXLlxg165dDx2XqDikp1pUGr6+vsybN4+ZM2cSERHBwIEDsbe3Jzw8nO3btzN27FimTZsG6D8kN2/ezJtvvknbtm2xs7NjwIABvPTSS/zwww+8+uqr7N+/n06dOqHVarl48SI//PADu3btok2bNveNY968eezevZvOnTszfvx4zMzMWLNmDZmZmUbjojZq1IiuXbvSunVrXFxcOHr0KFu3bjUaFmz58uV07tyZVq1aMXbsWHx8fIiIiODXX381TKW7cOFC9u/fT/v27RkzZgyNGjUiPj6e48ePs2fPHuLj4wH9TXwrV65k+PDhHDt2DE9PTzZs2GBSO9qgQQN8fX2ZNm0aN27cwMHBgW3btpnUHoaGhvL4448zZMgQGjVqhJmZGdu3byc6OprnnnvO0K5169asWrWKefPmUadOHapUqWK48fNuarWaVatWMWDAAFq0aMGoUaPw9PTk4sWLnDt37qH+U3JwcGDVqlW89NJLtGrViueeew53d3ciIyP59ddf6dSpEytXrgTggw8+4KmnnqJTp06MGjWKO3fusHLlSpo0aZLnf6R5+fTTT+ncuTNNmzZlzJgx1K5dm+joaP755x+uX7/OqVOngAe/9gU9t/caO3Ysa9asYeTIkRw7dgxvb2+2bt3K33//zdKlS7G3ty/0OSzMkHovv/wyS5YsoVevXrzyyivExMSwevVqGjdubLhB92H4+fmxceNGVCqVoRxEo9HQsWNHdu3aRdeuXY0mBynMZ8G9Bg4cSLt27Zg6dSqXL1+mQYMG/Pzzz4a/o4f5Bsva2ppGjRqxefNm6tWrh4uLC02aNKFJkyYFfs9Mnz6dDRs20Lt3byZPnmwYUi/324mCqFKlCt26dWPJkiUkJyebjOu9b98+Jk6cyLPPPku9evXIyclhw4YNhov3B/Hz82PhwoU4OjoabvCtUqUK9evXJyQkxGRWVX9/f8aNG8eCBQs4efIkTzzxBObm5ly6dIktW7awbNkyoxur7zZu3DhWrlzJ888/z+TJk/H09GTjxo2GCaUe5nXy9fXFycmJ1atXY29vj62tLe3bt8fHx4cvv/ySPn360LhxY0aNGkX16tW5ceMG+/fvx8HBgV9++QXQj0X+xx9/4Ofnx/jx4w0XtY0bNy7w6yQqsNIaZkSIwsodJu3IkSN5rvf39zcaUi/Xtm3blM6dOyu2traKra2t0qBBA2XChAlKSEiIoU1KSorywgsvKE5OTiZDpmVlZSkffvih0rhxY8XS0lJxdnZWWrdurcyZM0dJTEw0tAOUCRMm5Bnb8ePHlV69eil2dnaKjY2N0q1bN+XgwYNGbebNm6e0a9dOcXJyUqytrZUGDRoo8+fPV7KysozanT17Vnn66acVJycnxcrKSqlfv77y7rvvGrWJjo5WJkyYoHh5eSnm5uaKh4eH8vjjjyuff/65UburV68qTz75pGJjY6O4ubkpkydPNgxfdfcQVOfPn1d69Oih2NnZKW5ubsqYMWOUU6dOGQ03FRcXp0yYMEFp0KCBYmtrqzg6Oirt27c3GrJPUfTD1/Xr10+xt7dXAMOwWPcOqZcrKChI6dmzp2Jvb6/Y2toqzZo1U1asWJHnec71oPfK/v37lV69eimOjo6KlZWV4uvrq4wcOVI5evSoUbtNmzYpDRo0UCwtLZUmTZooP//8szJ48GClQYMGhja5w8HlN9xdWFiYMnz4cMXDw0MxNzdXqlevrvTv31/ZunWroc2DXvuCntu8hrCLjo5WRo0apbi5uSkWFhZK06ZNTYYIu99z4J6h3wozpJ6iKMq3336r1K5dW7GwsFBatGih7Nq1K98h9QpyfEVRlHPnzimA0rBhQ6Pl8+bNUwCTv4dcBfksuDc2RdEPgffCCy8o9vb2iqOjozJy5Ejl77//VgBl06ZNRtva2tqaHPe9994zGT7t4MGDSuvWrRULCwuT51iQ94yiKMrp06cVf39/xcrKSqlevbry/vvvK1999VWBhtTL9cUXXyiAYm9vr6Snpxutu3LlivLyyy8rvr6+ipWVleLi4qJ069ZN2bNnT4H2/euvvyqA0qdPH6Plo0ePVgDlq6++ynO7zz//XGndurVibW2t2NvbK02bNlWmT5+u3Lx509Amr/f6lStXlH79+inW1taKu7u7MnXqVMOQiIcOHTLaNq//K/J67X/66SelUaNGipmZmcnweidOnFAGDRqkuLq6KpaWlkqtWrWUIUOGKHv37jXaR2BgoOG1rl27trJ69eo83xOi8lEpykN+ryqEEI+AFi1a4O7unm9NuXg07Nixg6effpqgoCA6depU1uGIfCxdupQ33niD69ev5ztxkxAlRWqqhRACfe3wvfWkAQEBnDp1Ks+pt0XllZ6ebvRYq9WyYsUKHBwcaNWqVRlFJe517+uUkZHBmjVrqFu3riTUokxITbUQQqCvHe7Rowcvvvgi1apV4+LFi6xevRoPDw+TyT1E5fb666+Tnp5Ohw4dyMzM5Mcff+TgwYN88MEHRRpGUxSvQYMGUbNmTVq0aEFiYiLffvstFy9eLNTNm0IUJ0mqhRAC/XBwrVu35ssvvyQ2NhZbW1v69evHwoULcXV1LevwRCnq3r07ixcvZufOnWRkZFCnTh1WrFhhdBOxKHu9evXiyy+/ZOPGjWi1Who1asSmTZtMbsAUorRITbUQQgghhBBFJDXVQgghhBBCFJEk1UIIIYQQQhRRpa+p1ul03Lx5E3t7+4caDF4IIYQQQjy6FEUhOTmZatWqoVbn3x9d6ZPqmzdv4uXlVdZhCCGEEEKICuzatWvUqFEj3/WVPqnOnZb32rVrODg4lHE0QgghhBCiIklKSsLLy8uQU+an3CTVCxcuZObMmUyePJmlS5cSHx/Pe++9x59//klkZCTu7u4MHDiQ999/H0dHxwLvN7fkw8HBQZJqIYQQQgjxUB5URlwukuojR46wZs0amjVrZlh28+ZNbt68yaJFi2jUqBFXr17l1Vdf5ebNm2zdurUMoxVCCCGEEMJYmSfVKSkpDBs2jC+++IJ58+YZljdp0oRt27YZHvv6+jJ//nxefPFFcnJyMDMr89CFEEIIIYQAysGQehMmTKBfv3706NHjgW0TExNxcHCQhFoIIYQQQpQrZZqdbtq0iePHj3PkyJEHto2Li+P9999n7Nix922XmZlJZmam4XFSUlKBYtFqtWRnZxeorRBlzdzcHI1GU9ZhCCGEEOJfZZZUX7t2jcmTJ7N7926srKzu2zYpKYl+/frRqFEjZs+efd+2CxYsYM6cOQWOQ1EUoqKiSEhIKPA2QpQHTk5OeHh4yPjrQgghRDmgUhRFKYsD79ixg6efftqot02r1aJSqVCr1WRmZqLRaEhOTqZXr17Y2Niwc+fOBybgefVUe3l5GUpH7nXr1i0SEhKoUqUKNjY2kqCIck9RFNLS0oiJicHJyQlPT8+yDkkIIYSotJKSknB0dMw3l8xVZj3Vjz/+OGfOnDFaNmrUKBo0aMCMGTPQaDQkJSXRq1cvLC0t+fnnnx+YUANYWlpiaWlZoBi0Wq0hoXZ1dX2o5yFEWbC2tgYgJiaGKlWqSCmIEEIIUcbKLKm2t7enSZMmRstsbW1xdXWlSZMmJCUl8cQTT5CWlsa3335LUlKSoT7a3d29WJKI3BpqGxubIu9LiNKW+77Nzs6WpFoIIYQoY+V2GI3jx48THBwMQJ06dYzWhYeH4+3tXWzHkpIPURHJ+1YIIYQoP8pVUh0QEGD4vWvXrpRRubcQQgghhBCFUubjVItHi7e3N0uXLi03+xFCCCGEKA6SVFdAXbt2ZcqUKWUdRqlYt24dTk5OJsuPHDnywDHLhRBCCCFKS7kq/xDFR1EUtFptqc0+mZWVhYWFRakcC/Q3qwohhBBClBfSU13BjBw5ksDAQJYtW4ZKpUKlUhEREUFAQAAqlYrff/+d1q1bY2lpSVBQECNHjmTgwIFG+5gyZQpdu3Y1PNbpdCxYsAAfHx+sra1p3rw5W7duvW8c3t7evP/++wwfPhwHBwdDr3FQUBB+fn5YW1vj5eXFpEmTSE1NzXc/S5YsoWnTptja2uLl5cX48eNJSUkB9DX2o0aNIjEx0fBccyf/ubf8IzIykqeeego7OzscHBwYMmQI0dHRhvWzZ8+mRYsWbNiwAW9vbxwdHXnuuedITk4uwFkXQgghhLg/SaormGXLltGhQwfGjBnDrVu3uHXrFl5eXob1b7/9NgsXLuTChQs0a9asQPtcsGAB33zzDatXr+bcuXO88cYbvPjiiwQGBt53u0WLFtG8eXNOnDjBu+++S1hYGL1792bw4MGcPn2azZs3ExQUxMSJE/Pdh1qtZvny5Zw7d47169ezb98+pk+fDkDHjh1ZunQpDg4Ohuc6bdo0k33odDqeeuop4uPjCQwMZPfu3Vy5coWhQ4catQsLC2PHjh3s3LmTnTt3EhgYyMKFCwt0joQQQggh7kfKP/Kw/tx6vjn/zQPbNXJpxIrHVxgte33v65yPP//AbYc3Gs6IxiMKHZujoyMWFhbY2Njg4eFhsn7u3Ln07NmzwPvLzMzkgw8+YM+ePXTo0AGA2rVrExQUxJo1a/D398932+7duzN16lTD49GjRzNs2DBDvXfdunVZvnw5/v7+rFq1Ks/Je+6uDff29mbevHm8+uqrfPbZZ1hYWODo6IhKpcrzuebau3cvZ86cITw83HCB8c0339C4cWOOHDlC27ZtAX3yvW7dOuzt7QF46aWX2Lt3L/Pnzy/YyRJCCCGEyIck1XlIzU4lJi3mge08bE0TvfjM+AJtm5qdf0lEUbRp06ZQ7S9fvkxaWppJIp6VlUXLli0LdaxTp05x+vRpNm7caFimKAo6nY7w8HAaNmxoso89e/awYMECLl68SFJSEjk5OWRkZJCWllbgSXkuXLiAl5eXUY99o0aNcHJy4sKFC4ak2tvb25BQA3h6ehIT8+DXSgghRB6yM2DLv51Dz64H8wfPeixEZSZJdR5szW2pYlPlge1cLF3yXFaQbW3NbR8qtgfu19Z4v2q12mS879yZJAFD/fKvv/5K9erVjdo9aLr3e4+VkpLCuHHjmDRpkknbmjVrmiyLiIigf//+vPbaa8yfPx8XFxeCgoJ45ZVXyMrKKvaZLs3NzY0eq1QqdDpdsR5DCCGEEI8mSarzMKLxiIcqzQBMykFKgoWFBVqttkBt3d3dOXv2rNGykydPGhLMRo0aYWlpSWRk5H1LPQqiVatWnD9/3mQGzPwcO3YMnU7H4sWLUav15f0//PCDUZuCPNeGDRty7do1rl27ZuitPn/+PAkJCTRq1OghnokQQgghROHIjYoVkLe3N8HBwURERBAXF3ff3tbu3btz9OhRvvnmGy5dusR7771nlGTb29szbdo03njjDdavX09YWBjHjx9nxYoVrF+/vlBxzZgxg4MHDzJx4kROnjzJpUuX+Omnn/K9UbFOnTpkZ2ezYsUKrly5woYNG1i9erXJc01JSWHv3r3ExcWRlpZmsp8ePXrQtGlThg0bxvHjxzl8+DDDhw/H39+/0OUwQgghhBAPQ5LqCmjatGloNBoaNWqEu7s7kZGR+bbt1asX7777LtOnT6dt27YkJyczfPhwozbvv/8+7777LgsWLKBhw4b07t2bX3/9FR8fn0LF1axZMwIDAwkNDcXPz4+WLVsya9YsqlWrlmf75s2bs2TJEj788EOaNGnCxo0bWbBggVGbjh078uqrrzJ06FDc3d356KOPTPajUqn46aefcHZ2pkuXLvTo0YPatWuzefPmQsUvhBBCCPGwVMq9BbeVTFJSEo6OjiQmJuLg4GC0LiMjg/DwcHx8fPIcmUKI8kzev0KIMiU3KopHxP1yybtJT7UQQgghhBBFJEm1EEIIIYQQRSRJtRBCCCGEEEUkSbUQQgghhBBFJEm1EEIIIYQQRSRJtRBCCCGEEEUkSbUQQgghhBBFJEm1EEIIIYQQRSRJtRBCCCGEEEUkSbUoFuvWrcPJyalQ24wcOZKBAweWSDx58fb2ZunSpfdtM3v2bKpWrYpKpWLHjh2lHqMQQgghKiZJqkWxGDp0KKGhocW+34IkwsXlwoULzJkzhzVr1nDr1i369OnDsmXLWLdunaFN165dmTJlSqnEI4QQQoiKw6ysAxCVg7W1NdbW1mUdRpGEhYUB8NRTT6FSqQCwtLQsy5CEEEIIUUFIT3UFlFfvbYsWLZg9e7bhsUql4ssvv+Tpp5/GxsaGunXr8vPPPxvWt2nThkWLFhkeDxw4EHNzc1JSUgC4fv06KpWKy5cvA5CZmcm0adOoXr06tra2tG/fnoCAAMP2eZV/zJs3jypVqmBvb8/o0aN5++23adGihcnzWbRoEZ6enri6ujJhwgSys7MBfa/w1atXeeONN1CpVIZEFyAoKAg/Pz+sra3x8vJi0qRJpKamGtbHxMQwYMAArK2t8fHxYePGjfc9p7Nnz2bAgAEAqNVqw7HuLv8YOXIkgYGBLFu2zBBPRETEffcrhBBCiGKQnQHfDdX/ZGeUdTR5kp7qu2iTk8ksgRKGgrKsVw+NvX2x7W/OnDl89NFHfPzxx6xYsYJhw4Zx9epVXFxc8Pf3JyAggGnTpqEoCgcOHMDJyYmgoCB69+5NYGAg1atXp06dOgBMnDiR8+fPs2nTJqpVq8b27dvp3bs3Z86coW7duibH3rhxI/Pnz+ezzz6jU6dObNq0icWLF+Pj42PUbv/+/Xh6erJ//34uX77M0KFDadGiBWPGjOHHH3+kefPmjB07ljFjxhi2CQsLo3fv3sybN4+vv/6a2NhYJk6cyMSJE1m7di2gT4Bv3rzJ/v37MTc3Z9KkScTExOR7rqZNm4a3tzejRo3i1q1bebZZtmwZoaGhNGnShLlz5wLg7u5euBdFCCGEEJWSJNV3yQwN5eqwF8vs+LU2fotN69bFtr+RI0fy/PPPA/DBBx+wfPlyDh8+TO/evenatStfffUVWq2Ws2fPYmFhwdChQwkICKB3794EBATg7+8PQGRkJGvXriUyMpJq1aoB+iT0jz/+YO3atXzwwQcmx16xYgWvvPIKo0aNAmDWrFn8+eefhp7wXM7OzqxcuRKNRkODBg3o168fe/fuZcyYMbi4uKDRaLC3t8fDw8OwzYIFCxg2bJihtrlu3bosX74cf39/Vq1aRWRkJL///juHDx+mbdu2AHz11Vc0bNgw33NlZ2dn6Gm/+1h3c3R0xMLCAhsbm3zbCCGEEOLRJOUflVizZs0Mv9va2uLg4GDorfXz8yM5OZkTJ04QGBiIv78/Xbt2NZR0BAYG0rVrVwDOnDmDVqulXr162NnZGX4CAwMNdcj3CgkJoV27dkbL7n0M0LhxYzQajeGxp6fnfXuUAU6dOsW6deuMYunVqxc6nY7w8HAuXLiAmZkZre+6QGnQoEGhRycRQgghhCgo6amugNRqNYqiGC3LrUO+m7m5udFjlUqFTqcDwMnJiebNmxMQEMA///xDz5496dKli2EUj0uXLhl6qlNSUtBoNBw7dswoAQZ9D29R3C/G/KSkpDBu3DgmTZpksq5mzZolMgqJEEIIIcT9SFJ9F8t69ai18dsyPX5BuLu7G9X9JiUlER4eXujj+fv7s3//fg4fPsz8+fNxcXGhYcOGzJ8/H09PT+r9G0/Lli3RarXExMTg5+dXoH3Xr1+fI0eOMHz4cMOyI0eOFDpGCwsLtFqt0bJWrVpx/vx5Q733vRo0aEBOTg7Hjh0zlH+EhISQkJBQ6OMXJB4hhBBCCEmq76Kxty/WmuaS0r17d9atW8eAAQNwcnJi1qxZJj3IBdG1a1dWrFiBu7s7DRo0MCxbuXIlzz77rKFdvXr1GDZsGMOHD2fx4sW0bNmS2NhY9u7dS7NmzejXr5/Jvl9//XXGjBlDmzZt6NixI5s3b+b06dPUrl27UDF6e3vz119/8dxzz2FpaYmbmxszZszgscceY+LEiYwePRpbW1vOnz/P7t27WblyJfXr16d3796MGzeOVatWYWZmxpQpU4plyD9vb2+Cg4OJiIjAzs4OFxcX1GqpohJCCFHOZGfAlhH6359dD+ZWZRvPI0CygQpo5syZ+Pv7079/f/r168fAgQPx9fUt9H78/PzQ6XSGMg/QJ9VardZQT51r7dq1DB8+nKlTp1K/fn0GDhzIkSNHqFmzZp77HjZsGDNnzmTatGm0atWK8PBwRo4ciZVV4f6o586dS0REBL6+voaRNpo1a0ZgYCChoaH4+fnRsmVLZs2aZbiJMjfeatWq4e/vz6BBgxg7dixVqlQp1LHzMm3aNDQaDY0aNcLd3Z3IyMgi71MIIYQQFZ9Kubc4t5JJSkrC0dGRxMREHBwcjNZlZGQQHh6Oj49PoZM9UXg9e/bEw8ODDRs2lHUolYK8f4UQZUp6Qsu3yvb6lOHzuV8ueTcp/xAlIi0tjdWrV9OrVy80Gg3ff/89e/bsYffu3WUdmhBCCCFEsZPyD1EiVCoVv/32G126dKF169b88ssvbNu2jR49epR1aEIIIYrD9SMQfQ6uH4bfp0NkcFlHJEpDBZjZsKxIT7UoEdbW1uzZs6eswxBCCFESIoNh9yxIuw1qM4gIguiz0GsB1Gxf1tEJUSakp1oIIYQQhXN6E2QkgrkNmFmCsw9kJMHpzWUdmRBlRpJqIYQQQhRO/BWwsAOVSv9YpQJLO4jPe5ZdIR4FklQLIYQQonBcakNWCuQOIKYokJkCLoUf3lXkQ2qXKxxJqoUQQghROM2eAytHyE6HnExIiAArB2j+XFlHJkSZkaRaCCGEEIVTsz30nAs2LqAxh1qdofdC8GpX1pE92u7u3c6R3u3SJqN/CCGEEKLwarSFqo31v/f5sOJPLiJEEUlPtcDb25ulS5cWuH1ERAQqlYqTJ0+WWEx3W7duHU5OTvdtc/HiRR577DGsrKxo0aJFqccohBBCiEebJNWCI0eOMHbs2GLdZ0ES4eL03nvvYWtrS0hICHv37sXLy4tbt27RpEkTAAICAlCpVCQkJJRaTEIIIYR4dEj5h8Dd3b2sQyiysLAw+vXrR61atQzLPDw8yjAiIYQo57IzYMsI/e/PrpfyDSGKSHqqK5idO3fi5OSEVqsF4OTJk6hUKt5++21Dm9GjR/Piiy8aHgcFBeHn54e1tTVeXl5MmjSJ1NRUw/p7yz8uXrxI586dsbKyolGjRuzZsweVSsWOHTuMYrly5QrdunXDxsaG5s2b888//wD6XuFRo0aRmJiISqVCpVIxe/ZsADIzM5k2bRrVq1fH1taW9u3bExAQYLTfdevWUbNmTWxsbHj66ae5ffv2fc+JSqXi2LFjzJ0713Csu8s/IiIi6NatGwDOzs6oVCpGjhxZkNMthBBCiNJUgYcSlJ7qu2Sm53D7RkqZHd+1uh2W1vd/Sfz8/EhOTubEiRO0adOGwMBA3NzcjBLTwMBAZsyYAeh7cHv37s28efP4+uuviY2NZeLEiUycOJG1a9ea7F+r1TJw4EBq1qxJcHAwycnJTJ06Nc9Y3nnnHRYtWkTdunV55513eP7557l8+TIdO3Zk6dKlzJo1i5CQEADs7OwAmDhxIufPn2fTpk1Uq1aN7du307t3b86cOUPdunUJDg7mlVdeYcGCBQwcOJA//viD9957777n5NatW/To0YPevXszbdo07OzsiIuLM6z38vJi27ZtDB48mJCQEBwcHLC2tr7vPoUQQgghCqPcJNULFy5k5syZTJ482dBr+vnnn/Pdd99x/PhxkpOTuXPnTonW6d6+kcL2RcdLbP8P8vS0VlSr43TfNo6OjrRo0YKAgADatGlDQEAAb7zxBnPmzCElJYXExEQuX76Mv78/AAsWLGDYsGFMmTIFgLp167J8+XL8/f1ZtWoVVlbGX/ft3r2bsLAwAgICDOUT8+fPp2fPniaxTJs2jX79+gEwZ84cGjduzOXLl2nQoAGOjo6oVCqjEozIyEjWrl1LZGQk1apVM+zjjz/+YO3atXzwwQcsW7aM3r17M336dADq1avHwYMH+eOPP/I9Jx4eHpiZmWFnZ2c43t1JtUajwcXFBYAqVaqUaq23EEIIIR4N5aL848iRI6xZs4ZmzZoZLU9LS6N379783//9XxlFVj75+/sTEBCAoigcOHCAQYMG0bBhQ4KCgggMDKRatWrUrVsXgFOnTrFu3Trs7OwMP7169UKn0xEeHm6y75CQELy8vIyS4Xbt8h539O7Xy9PTE4CYmJh84z5z5gxarZZ69eoZxRMYGEhYmH5q2wsXLtC+fXuj7Tp06FDAMyOEEEIIUTbKvKc6JSWFYcOG8cUXXzBv3jyjdbm9q/fW3D7qunbtytdff82pU6cwNzenQYMGdO3alYCAAO7cuWPopQb9+R03bhyTJk0y2U/NmjWLFIe5ubnhd5VKBYBOp8u3fUpKChqNhmPHjqHRaIzW5ZaHCCGEEEJURGWeVE+YMIF+/frRo0cPk6T6YWRmZpKZmWl4nJSUVOBtXavb8fS0VkWO4WG5Vi9YYplbV/3JJ58YEuiuXbuycOFC7ty5Y1QD3apVK86fP0+dOnUKtO/69etz7do1oqOjqVq1KqD/JqGwLCwsDDdT5mrZsiVarZaYmBj8/Pzy3K5hw4YEBwcbLTt06FChj59XPIBJTEIIIYQQxaFMk+pNmzZx/Pjxh0ra8rNgwQLmzJnzUNtaWps9sKa5PHB2dqZZs2Zs3LiRlStXAtClSxeGDBlCdna2UU/1jBkzeOyxx5g4cSKjR4/G1taW8+fPs3v3bsO2d+vZsye+vr6MGDGCjz76iOTkZP73v/8B//VGF4S3tzcpKSns3buX5s2bY2NjQ7169Rg2bBjDhw9n8eLFtGzZktjYWPbu3UuzZs3o168fkyZNolOnTixatIinnnqKXbt23beeuqBq1aqFSqVi586d9O3bF2tra+kdF0IIIUSxKbOa6mvXrjF58mQ2btxocrNcUcycOZPExETDz7Vr14pt3+WJv78/Wq2Wrl27AuDi4kKjRo3w8PCgfv36hnbNmjUjMDCQ0NBQ/Pz8aNmyJbNmzTLcKHgvjUbDjh07SElJoW3btowePZp33nkHoFCvU8eOHXn11VcZOnQo7u7ufPTRRwCsXbuW4cOHM3XqVOrXr8/AgQM5cuSIoRTlscce44svvmDZsmU0b96cP//805DUF0X16tWZM2cOb7/9NlWrVmXixIlF3qcQQgghSsn1IxB9Dq4fht+nQ2Twg7cpZSpFUZSyOPCOHTt4+umnjWprtVotKpUKtVpNZmamYV1AQADdunV7qNE/kpKScHR0JDExEQcHB6N1GRkZhIeH4+PjU6yJfWXz999/07lzZy5fvoyvr29ZhyP+Je9fIUSRFHXyF5k8pmQ9zPm9e5un18D2cYXbvqTiKur+I4Phj7ch9iKozcDWHaydoNcCqNn+vrsrDvfLJe9WZuUfjz/+OGfOnDFaNmrUKBo0aMCMGTNMbmQTpWf79u3Y2dlRt25dLl++zOTJk+nUqZMk1EIIIYQofac3QUYimNuASgXOPpBwFU5vLpWkuqDKLKm2t7enSZMmRstsbW1xdXU1LI+KiiIqKorLly8D+iHZ7O3tqVmzpmHcYVH8kpOTmTFjBpGRkbi5udGjRw8WL15c1mEJIYQQ4lEUfwUs7CDz38EnVCqwtIP4sLKN6x5lPvrH/axevdropsMuXboA+rpcmWa65AwfPpzhw4eXdRhCCCGEEOBSGyV+P1m3M9BlKVh7KJCZAtXKbsS2vJSrpPre8ahnz57N7NmzyyQWIYQQQghRtnRpaSRF2GAZcQu1KhtyVOiiLqJ2qgrNnyvr8IyUq6RaCCGEEEIIXY6OhI3fE/fl12jj4rB2tcPBOw0L+xxSbpphP3QBKq+8Z3wuK5JUCyGEEEJUNteP6oegy07VD0HXYli5uqkvP0pODokn4on9K5qcxLOG5em3LUi/bYG5kzluU9+BcpZQgyTVQgghhBCVS/od2Pc+pN3WD0EXEQTRZ0ttCLqHoeh0JP32O3ErlpN19brJejN3N1zbWODcygXVwCf1NyuWM5JUCyGEEEIUREUZmzvpJmjMy/0QdACKopCybx+xy5aTGRpqsl7j5ITrmDE4P/s06p2vlkGEBSdJdTFIz9Li//F+AALf6oa1hYyxLYQQQogykp0K1jUgM1n/uBwOQacoCqkHDxK7bDkZp0+brFdbqnF5ZSwuL7+Cxs5Of0FTzpXZNOWi4gkICEClUpGQkFAi+1+3bl2hZ8wsD1QqFTt27CjrMIQQQgg9c1vISoHcSbOVf4egcymGSdyKYbrwtOPHiRw+gmuvjDZJqFVWVrh2dMf39Qa4vzZOn1BXENJTLQqsY8eO3Lp1C0dHx7IOpUKbPXs2O3bs4OTJk2UdihBCiMrIoRrkZEJyNKg1kBABVo5FH4IuMhh2zyp8rfa/ZTPpt9KIvVCV1KC/TZqozM1xGjoUt1dGYLZ/atHiLCOSVD8isrKysLCwKNI+LCws8PDwKKaIhBBCCFEirJ2h7RjYOQWy06BWZ2g5rOgjZjzkdOGZYWHEbrlK8oVE4LLxSo0Gx6cH4v7aa5hXr14hyjzyI+UfxSAwNJY7aVnEpWQyYu1h9l+MKdHjde3alYkTJzJx4kQcHR1xc3Pj3XffRcn9mgfw9vbm/fffZ/jw4Tg4ODB27FgAgoKC8PPzw9raGi8vLyZNmkRqaqphu8zMTGbMmIGXlxeWlpbUqVOHr776CjAt/7h69SoDBgzA2dkZW1tbGjduzG+//WbY19mzZ+nTpw92dnZUrVqVl156ibi4uEI911WrVuHr64uFhQX169dnw4YNhnXTpk2jf//+hsdLly5FpVLxxx9/GJbVqVOHL7/8Ms99R0REoFKpTH66du2abzyXLl2iS5cuWFlZ0ahRI3bv3m3SZsaMGdSrVw8bGxtq167Nu+++S3Z2NqAvcZkzZw6nTp0yHG/dunUALFmyhKZNm2Jra4uXlxfjx48nJSWlMKdLCCFEZVHUMosabaBqY6jRFvp8WDxD0OVOF5478sYDarWzrl3j5oy3uTJoyL8J9V1UKhz69aP2zl+oNm+ePqGu4CSpLqL9F2N4a+spsrUKigKnrycwedOJEk+s169fj5mZGYcPH2bZsmUsWbLEJHlctGgRzZs358SJE7z77ruEhYXRu3dvBg8ezOnTp9m8eTNBQUFMnDjRsM3w4cP5/vvvWb58ORcuXGDNmjXY5VPPNGHCBDIzM/nrr784c+YMH374oaFtQkIC3bt3p2XLlhw9epQ//viD6OhohgwZUuDnuH37diZPnszUqVM5e/Ys48aNY9SoUezfr78p1N/fn6CgILRaLQCBgYG4ubkZZua8ceMGYWFh+SbJXl5e3Lp1y/Bz4sQJXF1d6dKlS57tdTodgwYNwsLCguDgYFavXs2MGTNM2tnb27Nu3TrOnz/PsmXL+OKLL/jkk08AGDp0KFOnTqVx48aG4w4dOhQAtVrN8uXLOXfuHOvXr2ffvn1Mnz69wOdLCCFEJXF3mYU2R19msWvmQ9UvFyuX2gWq1c6OjubWe7MJ69OXxJ9+Ap3OaL3d44/js2MH1RcvwtLHp7SiL3FS/lFEn/91hWytDhX6CzY7SzNSM7V8ceAK3RpUKbHjenl58cknn6BSqahfvz5nzpzhk08+YcyYMYY23bt3Z+rU/+qSRo8ezbBhw5gyZQoAdevWZfny5fj7+7Nq1SoiIyP54Ycf2L17Nz169ACgdu3a+cYQGRnJ4MGDadq0qUnblStX0rJlSz744APDsq+//hovLy9CQ0OpV6/eA5/jokWLGDlyJOPHjwfgzTff5NChQyxatIhu3brh5+dHcnIyJ06coHXr1vz111+89dZbhpsGAwICqF69OnXq1Mlz/xqNxlDOkpGRwcCBA+nQoQOzZ8/Os/2ePXu4ePEiu3btolq1agB88MEH9OnTx6jd//73P8Pv3t7eTJs2jU2bNjF9+nSsra2xs7PDzMzMpJQm93XJ3W7evHm8+uqrfPbZZw88V0IIISqRhyyzKHHNnoObJyE5Ks9a7Zz4eG6v+Zw733+PkpVlsrltbTvc563CulWb0o27lEhSXURX4lIwU6vJUumvwlQqFWZqFWGxJfu1/WOPPYbqroHPO3TowOLFi9FqtWg0+iH92rQxftOeOnWK06dPs3HjRsMyRVHQ6XSEh4dz5swZNBoN/v7+BYph0qRJvPbaa/z555/06NGDwYMH06xZM8Ox9u/fn2cvd1hYWIGS6gsXLhjKVnJ16tSJZcuWAeDk5ETz5s0JCAjAwsICCwsLxo4dy3vvvUdKSgqBgYGG53LgwAGj5HfNmjUMGzbM8Pjll18mOTmZ3bt3o1bn/QXOhQsX8PLyMiTUoD/v99q8eTPLly8nLCyMlJQUcnJycHBweODz3bNnDwsWLODixYskJSWRk5NDRkYGaWlp2NjYPHB7IYQoVeZW8MLmso6i8rh7DOysNH2ZRWaS/nFBh8TLLRnJToVd7+gngbF2Lr4Ya7aHnnNhx2tGtdpaxwbcXraM+PXfoKSlmWxm3bIF7k2TsPW2g6ZNii+eckbKP4qotpsdOTrdXd+EKOToFHzdy34IGFtbW6PHKSkpjBs3jpMnTxp+Tp06xaVLl/D19cXa2rpQ+x89ejRXrlzhpZde4syZM7Rp04YVK1YYjjVgwACjY508edJQk1xcunbtSkBAgCGBdnFxoWHDhgQFBRkl1W3atDGK48knnzTsY968eezatYuff/4Ze3v7IsXzzz//MGzYMPr27cvOnTs5ceIE77zzDll5XLHfLSIigv79+9OsWTO2bdvGsWPH+PTTTwEeuK0QQohKxsWn8EPi3VsyEnkQYi/qE+viVKOtoVZb5/8ecb+d5HKPntxetdokobZs1BCvz9dQa/3X+oS6kpOe6iIa26U2kzadICNbBwqkZOZgoVEzpkv+ZRPFITjYuK7q0KFD1K1b19BLnZdWrVpx/vz5fMshmjZtik6nIzAw0FD+8SBeXl68+uqrvPrqq8ycOZMvvviC119/nVatWrFt2za8vb0xM3u4t1nDhg35+++/GTFihGHZ33//TaNGjQyP/f39+frrrzEzM6N3796APtH+/vvvCQ0NNdRTW1tb5/m8t23bxty5c/n999/x9b3/+J0NGzbk2rVr3Lp1C09PT0B/3u928OBBatWqxTvvvGNYdvXqVaM2FhYWhjrwXMeOHUOn07F48WJDT/kPP/xw33iEEEJUUk2fhagz+ZZZ5OnekhEnb/2Qekk3iz08XY6OhKO3iVs5AG18vMl6C19f3F9/HfsneqJSqyv0iB6FIT3VRdStQRU+fqY55hoVKhU0r+HEsudb0q1+ydVTg76e+c033yQkJITvv/+eFStWMHny5PtuM2PGDA4ePMjEiRMNvcY//fST4UZFb29vRowYwcsvv8yOHTsIDw8nICAg3+RuypQp7Nq1i/DwcI4fP87+/ftp2LAhoL+JMT4+nueff54jR44QFhbGrl27GDVqlElCmZ+33nqLdevWsWrVKi5dusSSJUv48ccfmTZtmqFNly5dSE5OZufOnYYEumvXrmzcuBFPT8/7lpmcPXuW4cOHM2PGDBo3bkxUVBRRUVHE5/EBAdCjRw/q1avHiBEjOHXqFAcOHDBKnkFfpx4ZGcmmTZsICwtj+fLlbN++3aiNt7c34eHhnDx5kri4ODIzM6lTpw7Z2dmsWLGCK1eusGHDBlavXl2g8ySEEA+lGCbxECWkRlt9mYWNi3668VqdoffC+4/gkTsyB+iT66hToFLryzSKiZKdzZ2tPxK2MoToP2+ZJNTmXl5U+3AhtX/+CYfevfQJ9SPk0Xq2JcS/njvONha42VmyblS7Ek+oQT9KR3p6Ou3atWPChAlMnjzZpP74Xs2aNSMwMJDQ0FD8/Pxo2bIls2bNMqoRXrVqFc888wzjx4+nQYMGjBkzxmjIvbtptVomTJhAw4YN6d27N/Xq1TPcVFetWjX+/vtvtFotTzzxBE2bNmXKlCk4OTnlW7N8r4EDB7Js2TIWLVpE48aNWbNmDWvXrjUazcPZ2ZmmTZvi7u5OgwYNAH2irdPpHlgbfvToUdLS0pg3bx6enp6Gn0GDBuXZXq1Ws337dsN5Hz16NPPnzzdq8+STT/LGG28wceJEWrRowcGDB3n33XeN2gwePJjevXvTrVs33N3d+f7772nevDlLlizhww8/pEmTJmzcuJEFCxYU6DwJIUShFXV0iewM+G6o/qe4eyFLct8VyV1lFgUaEi+vkTkUrb7nuogUrZbEX34hrF9/oua8T05SttF6sypV8Jg9G9/ffsXxqadQ3edb8weqwBd7KuXuwY0roaSkJBwdHUlMTDS5WSwjI4Pw8HB8fHywsrJ66GOkZ2nx/1g/zFvgW92wtijCm6kAunbtSosWLVi6dGmJHkeUb8X1/hVCPIJ2vgFXAvU9mioVeDTXjy7h0wX6L3nw9nffVPfsev1Ni8WlJPddVKX5vKFwx4oMhj/e1tdRa7NAbQEaM6jSEIb//FCxKopC8p49xC1fTualyybrNc5OuI4dh/Pzz6G+3/9DBT1vdz8HtRnYuoO1k37GRs/mZfa+uF8ueTepqRZCCCEeNbmlAgUdXSKvhE+UL7kjc2x/FVKiwcYZ7Ks91OgfiqKQGvQ3scuWkXH2rMl6taUa1w7uOC/chsbJtTii17vfUIKezYvvOCVEkupiYG2h4fA7BbuxTwghhChzLrUhIVBfIqBS/Te6RLVWZR2ZKIoabfU909pMcKuvv8mxkNKOHiVm6VLSjx4zWaeyscFl2PO4Ov2DxtoM7hllrMgKe7FXzkhSXQHlzhgohBBCPJQHTOIhHj3pZ84Su2wZqUFBJutU5uY4Pf8cbmPHYuZoB1uOlEwQFfxiT5JqIYQQ4lGTzyQeD7wZTlQ6mZcuEbt8Ocm795iu1GhwGjQIt/GvYf7vULIlevNoBb/Yk6RaCCGEeBTlji4B+tElytMNgaLEZV29SuzKT0naufO/EUNyqVQ49O+P+8QJWNSqVXpB3e9irwKMBCNJtRBCCCHKh+wM2Pwi3DoJni3KOppKKfvWLeI+W0XCjz9CHvNG2Pfsgdvrr2N1n3keSlQFvtiTpFoIIYQQopLLiYsj7vPPSfh+E0p2tsl6286dcZ88GeumTcoguspBkmohhBBCiEpKm57D7WUriN/4PUp6usl66zatqTJlCjZt2pRBdJWLJNXFoTwPVC+EEEKUJfk/skxoM7XcORrP7UNx6DLPm6y3atwY9ylTsO3cCZVKVQYRVj4yTfkjavbs2bRo0aLE9u/t7X3fGR8jIiJQqVScPHmywPtct24dTk5ORY7tYahUKnbs2FEmxxZCCCEKSpet4/YZNWGfXSE2MAZdps5ovWXdOlRfsRzvrVuw8+ssCXUxkqT6ETVt2jT27t1bZsf38vLi1q1bNGlSOWu3SvqiRQghRDmSnQHfDdX/lNEoFUpWFnd+2ELYZ5eIOaxBm258E6J5zZpU+/gjfHbswKFnT0mmS4CUfzyi7OzssLOzK7PjazQaPDw8yuz4QgghRGWgaLUk/vILcSs/Jfv6dZP1Zg7muL3xNk7PPIvK3LwMInx0SE91cbh+BKLPwfXD8Pt0iAwu0cN17dqVSZMmMX36dFxcXPDw8GD27NlGbSIjI3nqqaews7PDwcGBIUOGEB0dbVh/b09qQEAA7dq1w9bWFicnJzp16sTVq1eJiIhArVZz9OhRo/0vXbqUWrVqodMZf610t7S0NF5++WXs7e2pWbMmn3/+uWFdXuUfP//8M3Xr1sXKyopu3bqxfv16VCoVCQkJRvvdtWsXDRs2xM7Ojt69e3Pr1q18Y8g9zr0/Xbt2zXebS5cu0aVLF6ysrGjUqBG7d+82aTNjxgzq1auHjY0NtWvX5t133yX737up161bx5w5czh16pTheOvWrQNgyZIlNG3aFFtbW7y8vBg/fjwpKSn5xiKEEELkRdHpSPpjF1eefIpbb880Sag1NhqqPuGB78T6OD8zqOIn1OZW8MJm/U85rcuXpLqoIoNh9yxIuw3aHIgIgl0zSzyxXr9+Pba2tgQHB/PRRx8xd+5cQ/Kn0+l46qmniI+PJzAwkN27d3PlyhWGDh2a575ycnIYOHAg/v7+nD59mn/++YexY8eiUqnw9vamR48erF271mibtWvXMnLkSNTq/N9Cixcvpk2bNpw4cYLx48fz2muvERISkmfb8PBwnnnmGQYOHMipU6cYN24c77zzjkm7tLQ0Fi1axIYNG/jrr7+IjIxk2rRp+caQW2aS+3PixAlcXV3p0qVLnu11Oh2DBg3CwsKC4OBgVq9ezYwZM0za2dvbs27dOs6fP8+yZcv44osv+OSTTwAYOnQoU6dOpXHjxobj5p57tVrN8uXLOXfuHOvXr2ffvn1Mnz493/iFEEKIuymKQkpgIOHPPMONKVPICgszWq+2UuPeOoc6g9JwqRGJWq3ksydR3KT8o6hOb4KMRDC30c9T7+wDCVfh9Gb9zEAlpFmzZrz33nsA1K1bl5UrV7J371569uzJ3r17OXPmDOHh4Xh5eQHwzTff0LhxY44cOULbtm2N9pWUlERiYiL9+/fH19cXgIYNGxrWjx49mldffZUlS5ZgaWnJ8ePHOXPmDD/99NN9Y+zbty/jx48H9D27n3zyCfv376d+/fombdesWUP9+vX5+OOPAahfvz5nz55l/vz5Ru2ys7NZvXq1Ic6JEycyd+7cfGO4u8wkIyODgQMH0qFDB5Oe/Vx79uzh4sWL7Nq1i2rVqgHwwQcf0KdPH6N2//vf/wy/e3t7M23aNDZt2sT06dOxtrbGzs4OMzMzkxKXKVOmGG03b948Xn31VT777LN8n4MQQggBkBp8mNhly0g/ftxkncrGBpcXX8DVIQhN/GmQXLrUSU91UcVfAQs7fUIN+n8t7SA+7P7bFVGzZs2MHnt6ehITEwPAhQsX8PLyMiTUAI0aNcLJyYkLFy6Y7MvFxYWRI0fSq1cvBgwYwLJly4xKKgYOHIhGo2H79u2AvryhW7dueHt7FzhGlUqFh4eHIcZ7hYSEmCT77dq1M2lnY2NjSKjvfd4HDhww1Irb2dmxceNGo21ffvllkpOT+e677/LtYc89d7kJNUCHDh1M2m3evJlOnTrh4eGBnZ0d//vf/4iMjMxzn3fbs2cPjz/+ONWrV8fe3p6XXnqJ27dvk5aW9sBthRBClLFSLvfMlX7mLJEvv0zkiBEmCbXKwgKXkSOps2c3VV6fgMZKUyoxCVOSVBeVS23ISgHl30tCRYHMFHDxvf92RWR+T22USqW6b33zg6xdu5Z//vmHjh07snnzZurVq8ehQ4cAsLCwYPjw4axdu5asrCy+++47Xn755VKPMb99Kv+e+zZt2nDy5EnDz5NPPmloN2/ePHbt2sXPP/+Mvb19kWL4559/GDZsGH379mXnzp2cOHGCd955h6ysrPtuFxERQf/+/WnWrBnbtm3j2LFjfPrppwAP3FYIIUQZK4Nyz4zodK5tiiDihZdIPfiP8UozM5yeG4rv7j+p+vYMzFxcSiwOUTBS/lFUzZ6DmychOQrUGkiIACtHaP5cmYXUsGFDrl27xrVr1wy91efPnychIYFGjRrlu13Lli1p2bIlM2fOpEOHDnz33Xc89thjgL4EpEmTJnz22Wfk5OQwaNCgYo25fv36/Pbbb0bLjhw5Uqh9WFtbU6dOHZPl27ZtY+7cufz+++9Gvdx5yT13t27dwtPTE8BwcZHr4MGD1KpVy6jm++rVq0ZtLCws0GqNhzM6duwYOp2OxYsXG3rKf/jhh4I/QSGEEGXnfuWens2L9VCZEVeJ+2wVSb9fMl2pVuM4YABuEydgcdc30uVabg9/dqq+h7/FsBItkS0r0lNdVDXbQ8+5YOMCGnOo1Rl6LwQv09KF0tKjRw+aNm3KsGHDOH78OIcPH2b48OH4+/vTJo9pSMPDw5k5cyb//PMPV69e5c8//+TSpUtGddUNGzbkscceY8aMGTz//PNYW1sXa8zjxo3j4sWLzJgxg9DQUH744QfDiBlFGUvz7NmzDB8+nBkzZtC4cWOioqKIiooiPj4+z/Y9evSgXr16jBgxglOnTnHgwAGTGybr1q1LZGQkmzZtIiwsjOXLlxtKY3J5e3sTHh7OyZMniYuLIzMzkzp16pCdnc2KFSu4cuUKGzZsYPXq1Q/93IQQQpSiUij3zE7I4ubP17gycDBJv+8yWW/fqxe1f/6Jah8urDgJdRkN6FAWJKkuDjXaQtXG+n/7fFimCTXok9CffvoJZ2dnunTpQo8ePahduzabN2/Os72NjQ0XL15k8ODB1KtXj7FjxzJhwgTGjRtn1O6VV14hKyurQKUfheXj48PWrVv58ccfadasGatWrTIks5aWlg+936NHj5KWlsa8efPw9PQ0/OTX065Wq9m+fTvp6em0a9eO0aNHm9ws+eSTT/LGG28wceJEWrRowcGDB3n33XeN2gwePJjevXvTrVs33N3d+f7772nevDlLlizhww8/pEmTJmzcuJEFCxY89HMTQghRikqw3DMnNpaoDxYS9mkIiSfvwD3fdNr6dcZ721ZqLFuKZR7fyOZJpYJqLWHot2U7BN3dPfxmlvoe/owkfQ9/JaNScgtSK6mkpCQcHR1JTEzEwcHBaF1GRgbh4eH4+PhgZVWEN1x2BmwZof/92fXldvzEonr//ffZsmULp0+fLpXjzZ8/n9WrV3Pt2rVSOV5FU2zvXyHEo6kw/3fd2xYeftsHtd38Itw6CZ4tyj4hvFtkMPzxNsSG6Ms97aroyz17LwSPZg+VB+TcuUP8118Tv+FblAzTmRhtatni3s0Dm6lbC7bP3PN384T+cUkk1YXNeb55CtLuQPJN/WPPFpAWpz93w/MYRawc5lT3yyXvJjXV4oFSUlKIiIhg5cqVzJs3r8SO89lnn9G2bVtcXV35+++/+fjjj5k4cWKJHU8IIYQosNxyzx2vQXaavtyz5TD9t9OFnJpcm5JC/Lr1xK9bhy6PCcCsmjbBfeIEbK9/VvGnE3epDQmB+p59leq/Hv5qrco6smInSXVxyJ3lp5KaOHEi33//PQMHDiyR0o9cly5dYt68ecTHx1OzZk2mTp3KzJkzS+x4QgghRKHklnuCvtyzkL2ouowM7mz8jttffIH2ntmCASyrWOHerSp273yjT6a3rCqGoItZYXOecjigQ0mRpFo80Lp16ww3DZakTz75xDAroRBCCFFZKFlZ3Nm6ldurVpMTG2uy3qJWLaqOeBzbqHWockLgjxnQ9NkyiLQE3K+Hv5KRpFoIIR5F5bBuUYjKRsnJIfGnn4n79FOyb940WW9WzRP3CRNwbOWJavc7kB4PajP9CBlRZ/Sjilk7l0HkxayIPfwVhSTVQCW/V1NUUvK+FUKI8knR6UjetYvY5SvICg83Wa9xc8Pt1VdxGvIsagsL2PlGHmNgR0BOZuVIqh8Rj3RSnTs7X1paWrGPuyxEScud2vzeWSaFEBVYRfkGoTJO5lEM515RFFIC/yJ25SoyL140Wa9xdMR1zGichw1DfXfekTsGdmaS/rFKBZb24Fij8PdspSdAZjIoOog5r3+tfPwK/VxE4T3SSbVGo8HJyYmYmBhAP15zhb/LVlR6iqKQlpZGTEwMTk5OaDSasg5JCPEouX7kv8k8cksVos9CrwXFk1jnJoU3jlWohD01PIXYfVGk35hssk5tY4PLqFG4jByBxt7edOPiGiHj+hGICwFdNqCC9Dv616r3wgpxDiu6RzqpBvDw8AAwJNZCVBROTk6G968QQpSaM1vyn667qIlbblKozQK1efEn7CUg/eRJYj75hLTgKybrVJaWOA8bhuuY0Zg536eMo7hGyDj3I9i6689dVjKYWet7v4vjtREPVG6S6oULFzJz5kwmT57M0qVLAf3kFlOnTmXTpk1kZmbSq1cvPvvsM6pWrVpsx1WpVHh6elKlShWys7OLbb9ClCRzc3PpoRaivKooJRyFcXe5h8YSLGxLZrruM1tAlwMqzX+z7xVXwl7MMi6GEPvpalICAkxXmpvj/OyzuI4bh3nVKg/eWXGNkJFbRpKRqH+sUoG5bbFOpS7yVy6S6iNHjrBmzRqaNWtmtPyNN97g119/ZcuWLTg6OjJx4kQGDRrE33//XewxaDQaSVKEEKK4VMbE8lEVGWxc7pGTDWnxYGYFZhbFO5lHfLg+oVbl6B8XZ8JeTDLjMogNiCZ5bh69yCpwfPJJ3F6fhEWN6oXbcXGMkHF3GQno/81OBZc2hd+XKDR1WQeQkpLCsGHD+OKLL3C+66uRxMREvvrqK5YsWUL37t1p3bo1a9eu5eDBgxw6dKgMIxZCCCEeIac3/VfuYWYJ7vX1y7NS9aNTJESAlUPxTObh4gOK1jgpzEwBF9+i77uIsq7f4Ob/3uPKqlCSzyearLdv5Ejt1+pRbd6cwifUxaXZc/qykZx0/Y2KOelgWUyvjXigMk+qJ0yYQL9+/ejRo4fR8mPHjpGdnW20vEGDBtSsWZN//vmntMMUQgghKpfcmfFe2Hz/XtHckoLccg9rZ3D00tf+asz1pQq9FxbPZB5Nn9X3hiva4k/YH1J2dAxRc+cS1qcPiT/9DPeMZmrXtSs+WzZR45laWLqV8TcyuWUk1i6ASv9vz7mlM9FKdgZ8N1T/U8hp2yuLMi3/2LRpE8ePH+fIkSMm66KiorCwsMDJycloedWqVYmKisp3n5mZmWRmZhoeJyUlFVu8QgghSsCjUCpSkZ9jXiNTqAC7KvpyheKczKNGW3CrD9H/TnxS8zGIuwQHFpf6ecu5c4fbX3zJnY0bUe7KK3LZtG9HlTfewLpFC/3re6bUQru/Gm2hSkPQZur/rdG2rCMqnMJOg16OlFlSfe3aNSZPnszu3buxsiq+P5IFCxYwZ86cYtufEEIIYaIiJ8mFldfIFJYOYFMCY+RfPwLJN0GnBXNraPQ0HPmi+I9zH9oMLfGfriJ+w0Z0qakm662r2+De3QPb6Wsq9+suCq3Myj+OHTtGTEwMrVq1wszMDDMzMwIDA1m+fDlmZmZUrVqVrKwsEhISjLaLjo6+7zBiM2fOJDEx0fBz7dq1En4mQgghRCWWW1Jg4/JfuUfPucU/01/uDZHpdwBF/+++9/99XPJ0aenE/R3D5eUXiVv9uUlCbdmgATVWLqPWy77Y+tiVSkyiYimznurHH3+cM2eMvysZNWoUDRo0YMaMGXh5eWFubs7evXsZPHgwACEhIURGRtKhQ4d892tpaYmlpWWJxi6EEEI8Uu4dmaIk5N4QaWatH1Yvd4zltOwSnapbl5VFwuYfiFu9Gu3t2ybrLXx8cJ/0Ova9eqHSZsGWr0osFlGxlVlSbW9vT5MmTYyW2dra4urqalj+yiuv8Oabb+Li4oKDgwOvv/46HTp04LHHHiuLkIUQQhSHe0snROVW0CnN8xpj2cIOkm6USFhKTg6JO3YQ+9ln5Ny8ZbLevHp13CZMwPHJAajM/k2XtCUSiqgkysU41fn55JNPUKvVDB482GjyFyGEEKJSysnQT8+d+3tFr9m9d4zr+82QmNcYy1kp+qH8ipGi05H02+/ErVhB1tWrJuvN7MxwnfwWzkOfQ2VhUbCdFvTCQVRq5SqpDrhnViIrKys+/fRTPv3007IJSAghhBAP7+4xrh80pbnhhshbd42x7KUfG7sYKIpCyr59xC5bTmZoqMl6jZMTrm2scW7rivq5IWBewIS6MBcOolIr83GqhRBCCFFJ3TvG9f1mSMxrjOXHZxW5nlpRFFL+/puIoc9xfcJEk4RabWeH2+sT8f39F1w7uqM2L2RqdO/kOM4+kJGkv3AQj5Ry1VMthBBCiEokrzGu7zel+b1jLFdvXaTDpx0/TuwnS0nLYz4MlZUVLi+9iMvLL2Pm7PzwE5bkXjhk/jsvRnmYWj09ATKT9aVEUo5SaiSpFkIIIUTJyGuMayvHEp8hMf3cOWKXLSP1rwMm61Tm5jgNHYrbuLGYubsX/WCFvXAoadePQFwIaLNAbS7lKKVIkmohhBBClIzcko4dr0F2mn6M65bDSmza7MzLl4ldvoLkP/80XanR4Pj0QNzHj8e8WrXiO2gZXTjk68wW/ZCEKs1/5Sj51bGLYiVJtRBCCPEgMgzgw7t3jOsSGNEk69o14lauJPGXnaDTGa9UqXDo2xe3iROw9PEp9mOX9oXDA8WH6xNqVY7+cXkoR3lESFIthBBCiAopOzqauM9WkbBtG+TkmKy3e/xx3CdNwqp+vZINpBQuHArMxQduHDUemrAsy1EeIZJUCyGEEKJCyYmP5/aaz7nz/fcoWVkm6207dsR9ymSsmzUrg+jKWNNn4dx2/TjnOZllX47yCJGkWgghhBAVgjYpidtr1xK//huUtDST9datWuE+ZTK27cqo9KI8qNEW3OpD9BnQmJd9OcojRJJqIYQQRSc1xwWj08LmF/U3tD27vuLPmFhKdFla4r/8ittrv0GXlGSy3qpRI30y7eeHKndM7EeZtRNY2oNni7IvR3mESFIthBBCiHJJl5lJwqFY4v6ORZt6zmS9ha8v7pMmYf9Ez9JJps2t4AWZ1EXkTZJqIYQQQpQrig4SjscT98UQcqJjTNabe3nhPnECDv37o9JoyiBCIUxJUi2EEEKIckHRakk6k0DsPjOyk2+ZrDerWhW3117DafAgVObmZRChEPkrdFL9xx9/YGdnR+fOnQH49NNP+eKLL2jUqBGffvopzs7OxR6kEEIIISovRVFI3rOHuGXLyLx8AzAu5dDYaHCdMAXnYS+itpL64ArnESmbURd2g7feeoukf28SOHPmDFOnTqVv376Eh4fz5ptvFnuAQgghSsD1IxB9Dq4fht+nQ2RwWUckHkGKopByIIiIZ4dw4/VJZF42nqBEbanGvZUW3wl1cR0uCbUo3wrdUx0eHk6jRo0A2LZtG/379+eDDz7g+PHj9O3bt9gDFEIIUcwig2H3LEi7DWoziAiC6LPQa4FMY1zWrh+FzGT9KCG73oFWwyvta5J29CgxS5eSfvSYyTqVmYJLOzdc27ugSToPlqVQN517oZmdqr/QbDGs0p57UTIK3VNtYWFB2r9jQ+7Zs4cnnngCABcXF0MPthBCiHLs9CbISARzGzCzBGcfyEiC05X/69lyLTIY9r0P2ixAgciDsGtmpfsWIf3MWSJHj+Hqiy+ZJNQqc3Oc27lQZ0gOVbq6o7EupZsQ777Q1OboLzQr4bkXJavQPdWdO3fmzTffpFOnThw+fJjNm/UfwqGhodSoUaPYAxRCCFHM4q+AhR1k/tsRolKBpR3Eh91/O1GyTm/SvyYqjf41cfKGxGv6i51K0GOaEZNB3JSpJO/dZ7pSo8Fp0CDcxr6MeeA0uBVdusHdfaGpUukvNBOuVppzL0pHoZPqlStXMn78eLZu3cqqVauoXr06AL///ju9e/cu9gCFEEIUM5fakBAIiqJPIBQFMlOgWquyjqxyyKuMwLP5g7fLvdjJHW+5klzsZEVGErs9kqQzCUCo8UqVCof+/XGfOAGLWrX0kwiVhfJwofmI3MxXmRU6qa5ZsyY7d+40Wf7JJ58US0BCCCFKWLPn4OZJSI7Sz+yXEAFWjtD8ueI7xqNan5pfvXqPOflvkzsb5e0w/TaV5GIn+9Yt4j5bRcKPP4JWa7LevmcP3F5/Hat69cogunvIhaYoBoVOqiMjI++7vmbNmg8djBBCiFJQsz30nAs7XoPsNKjVGVoOA692xbP/60ce3Rsh8ysjOLP1wds6VIPsdFC0gFp/sWPtXLwXO6UgJy6OuM8/J+H7TSjZ2SbrbTt3xn3yZKybNimD6PJRGheaotIrdFLt7e1936lAtXlcjQohhChnarSFqo31v/f5UP/Vc3E5s6Vy1admZ8DmF+HWSfBscf+2+ZYRXAELm/tva+0MnabA1lH60T9qdYRWI4rvYqeEaRMTuf3V18Rv2ICSnm6y3rqmLVXmLsfmsY5lEN0DlPSFZmkyt4Kh3+q//RClqtBJ9YkTJ4weZ2dnc+LECZYsWcL8+fOLLTAhhBAVVHx44epTK1OpSH5lBPaeEHUGslLB3Boc87mxv3orsLTX//7EfLB2KrXQC+Wu+l9tSip3vlzF7a/XoktONmlq1agh7i0ysPW1Q9W6AOUUag1Ubw1Pr4Fto4s78vyV5IXmo6CU/o5zsrSYWZTPqekLnVQ3b256s0WbNm2oVq0aH3/8MYMGDSqWwIQQQlRQLj76ko+C1KdW1FKR/BKIvMoIVBq4fVn/HFUayMmArBT9Pnz8yvqZPDRdRgZ3vt/E7c8/R3vnjsl6y7p1cJs0CXv/zqi2jny4g6Qn6MftvnGs4l9wVWYlPPZ9TpaW8NNxhB6O5lZYAiMWdMK8HCbWhU6q81O/fn2OHDlSXLsTQghRUTV9Vt8rW5D61IpYKvKgC4F7ywjS4iDmgv45gv4iIydDX2ddUZLqu3qmlawsEjZtIu6zVeTExJg2rVkT99cn4tC3LyqN5uFH9Lh+FOJC9ON2q80rzgXXo6gEhiRUdAo3LiUQGhxF2PEYsjL+Ky+OOBVH3bZViyv6YlPopPreCV4UReHWrVvMnj2bunXrFltgQgghKqgabQten1rYUpHy4EEXAveWEXw/9L/nmNt7r9bo66wrEEWrJfGXX4hb+SnZ16+brDfz8MBt/Gs4Pf00KnPzoh/w3HbQ5eh793MnKSrvF1yPqmIckvD2jRRCgqO4dCSalDuZebYJORxVOZJqJycnkxsVFUXBy8uLTZs2FVtgQgghKrD71afeXTph46avM65IQ5kV9kLg7jpr0P+r04Jr7dKJt4gUnY7kP3cTu2IFWWGmz1Hj6orbuLE4DR2K2tKy+A58J/zfiXBy9I8rwgXXo6qIQxKmJmQSejiakMNR3L6ekm87M0sNvi3cqf+YR3FFXqwKnVTv37/f6LFarcbd3Z06depgZlZs1SRCCCEqo3trLzNTIeMOKDrQWFSMocwKUzMOxnXWKrV+yDyNOTR5plTDLixFUUj96y9ili0j8/wFk/VqBwdcX3kFlxeHoba1Lf4AnH3g5gnji5HyfsH1qHqIIQmzMnK4ciKWkOAorofcASXvdioV1GjoDHWTqNOyCo08GpbIUygOhc6C/f39SyIOIYQQj4J7ay+rNITYC5CRoE80y/tQZjotRJ+H1Fh9aYLa7MEJxN111lmpYO4IjtX1vfn3unFcf2OeTgu73oFWw8uk1CE1+DCxy5aRfvy4yTq1jQ3OI4bjOmoUGgeHkgui8dNw4Wd9/XlOZsW44HpUFXBIQq1Wx7Xz8YQGRxF+Ko6cbF2+u3SvaU/99h7UaVOFn2/9yAfBH/B02NPM9Zhb0s/moRUoqf75558LvMMnn3zyoYMRQghRyeVVe2njpk+carStGEOZWTuBW31IvgU56foEoukzcGCxfv3Ta0y3yS2H0f17s5U6j5EL0u9AwAL9jXkqNUQe1F9wlOKNeemnTxO7dCmpB/8xWaeysMD5hRdwHTsGMxeXkgng7qm6szP05zn6TMW44HrU5VPypSgKMVeTCQmO4vLRaNKTTScEymXvYoV7cwt82rjQwPe/8qieFj1ZeHghu6/u5p3H3sFSU4xlRsWoQEn1wIEDC7QzlUolk78IIYTIX161l9mp/42MUVFYO+l/1Bp9AlEckm7qe75VGv25cfKGxGulcmNeRkgIscuWk7Jvn+lKMzOcnhmM22uvYV61lG8Os3bSj9vt2aJiXHAJg6S4dEKCowg9HE1CdFq+7SxtzPBsZsdNz/P8lLGd0IRQXrz9Ig18ZxjauFm7MaHFBOo41UGtUpdG+A+lQEm1Tpd/97wQQghRYHnVXlo6gE0xjBZR0WWngn01fUINpXJjXmZ4OHErVpL0++//1S7nUqtxHDAAt4kTsPDyKrEYROWRkW3J5djahH5yhltXTCcCyqXWqKjW2IGkmtfYy08cu30Uov5b/3v470xrMw3NXd/ojG02tiRDLxZyZ6EQQojSk1ftZdNn4J+VZR1Z2TO3LbWRULJv3CD2s89I3PET5PENs32vXrhPeh1LX9+iH+zukg5R6eRka7l65jYh/9zk6tmX0CkaIO+Eumpte3LqxHPQ+g8+jw0g53aOSZtm7s3o59OPHCUHDeVvgpf7KXRSPXfu/QvEZ82a9dDBCCGEeATcW3tZEeTO7HfzBFjY6HuUi3sKcYdqkJ2uHx0Etb4X39q5WG/My4mNJW71GhJ++AEl27S21da/C+6TJmHduHGxHVNUPopO4VZYAiGHorh8PJas9Nzk2DQJdqpqQ/32HtRrV5XTmcd4bc80k5y7tmNt+tXuRx+fPnjZV9xvRQqdVG/fvt3ocXZ2NuHh4ZiZmeHr6ytJtRBCiMrl+hHjmf3S7+gTbLf6YOtafMexdoZOU2DrKP0NjbU6QqsRxXJjXs6dO8R//TXxG75FyTCd4dCmXTvcp0zGppUMV/dQHpHe+Phbqf/WSUeREp/3xCwA1vbmODZWUbWFNZ2atzLMb/KY7jFcrFyIz4inqk1V+vr0pW/tvtR3rm8yB0pFVOik+sSJEybLkpKSGDlyJE8//XSxBCWEEEKUG2e23DWzn4V+PN2cdP3oH8WZVANUb6W/MQ/giflF7g3XpqQQv2498evWoUsxnVTDqlkzqkyZjE2HDpUiqRHFLzUxk0tHogk9HE1sZP510mbmatycznPd/Tg/eFzjRvpNOsV1orNq9X9t1Ga83e5t3KzdaF21dbm+6fBhFEtNtYODA3PmzGHAgAG89NJLxbFLIYQQonyIz2NmP5VGXxNeTukyMriz8Ttuf/EF2oQEk/WW9erhPmUydt26STItTGRl5BB+Kk4/McuFeJN7WHOpVOBW14Y7XhHsVm0jJPWifkW6/p9DNw9xO/02rtb/XXz28elTwtGXnWK7UTExMZHExMTi2p0QQoiK5O6px3+fDk2fLeuIio+LD9w4ajyzn6LVT+JSWOkJkHxT39P9+3RoMQw8mxdbqEpWFne2buX2qtXkxMaarLeoVQu3Sa/j0KcPKnXl6iUUd3mIchSdVsf1i3cICY7iyslYcrLyH/nNuboNmb7RBFn9xuHkg3DP9aVGpeGxao/Rz6cfNhVtuMwiKHRSvXz5cqPHiqJw69YtNmzYQJ8+lffqQwghRD7unXo8Igii/p2ww9q5rKMruqbPwrnt/87sl6VPqNVmYO9ZuP2k39HXZufOxBgRBNFnocecIoeo5OSQ+NPPxH36Kdk3b5qsN6vmifuECTg+9RQqMxn4S+gpikLctRRCDkURejSa9KSsfNvaOVtSr53+hsN0hwT6/DgG7rnXtYXKmr4qR54YuB5X+2olHH35U+i/rE8++cTosVqtxt3dnREjRjBz5sxiC0wIIUQFce/U484++pErcjKLllRnZ8CWEfrfn11fdhN/1Gj738x+ajOwcNQn1IWtd066qU+ozaxBrf73PF2FM1sfOjRFpyP5jz+IXbGSrPBwk/UaNzfcXn0VpyHPoraweOjjiMolKS6d0CPRhAZHcScq/zImcysNdvV1WDfKZqBfN1Tq3FIhO5q7N+dU7CnqONWhX+1+9K7RjRq//59+tVUJzbhZzhU6qQ7P449WCCHEIyyvqcfNbfU9s5VF7sx+VZvmPcV4QWSn/jdbItw1ucsV/TB9haAoCikBAcQuW07mxYsm6zWOjriOGY3zsGGora0fLl5RqWSkZhN2PIaQ4ChuXc6/XFetVuFQV8M1jzP8rttCfM5tqsdVZ6Cqp1G7aW2mYW1mTT3nevq6/GzTUWUeNfIdkBBCiKKpLFOPlzRzW8i+bTq5i2dz/QyTBZR66BCxnywl/dQpk3VqGxtcRo3CZeQINPb2xRl96bt+BGLO6+vQY87rH/v4lXVUFYo2W8fVc7cJCY4i4kwcupx87jgEHGtaEOcVxm7NNiKzw+GuSpAbKTc4FXuKFlVaGJbd/bvQK1BSPWjQoALv8Mcff3zoYIQQQlRAMvV4wThU05fJ5KTry0gSIsDKEZoUbEbJtBMniF22nLRDh0zWqSwtcR42DNcxozFzrgR17Ll1+ul3AEX/7+5Z0HuhflZOkS9FUbgVlkhocBSXj8WQmWY6a2Eue3dL0rxvEWj9C2ezj4MO/c+/rM2s6erVlX4+/WjsKhMCPUiBkmpHx//ucFYUhe3bt+Po6EibNm0AOHbsGAkJCYVKvoUQQlQSMvV4wVg762uzk2/pE+tanaHlMPBodt/NMi5cIHbZclICAkxXmpvj/OyzuI4bh3nVKiUTd1nIrdM3s/6vDj0zCU5vlqQ6H3eiUgk9HE1IcBTJt/MvxbCyM6dum6rUa18VxxoWdNvSjdTsVMN6jUpDx2od6Ve7H928uj1So3cUVYGS6rVr1xp+nzFjBkOGDGH16tVoNPq6Mq1Wy/jx43FwcCiZKIUQQpRvFXHq8bJg7aT/UWv058ncKt9a1MzwCGK/WE/y73+YrlSrcXzqKdwmTMCiRvUSDblM5NbpZ/xb+5tbpx8fVrZxlTNpSVlcOqq/4TDmav4Ts2jMVVj6ZpPlG8fIvs+h0fw3nGKPmj34KewnWlVpRV+fvvT07onLI3qjYVEVuqb666+/JigoyJBQA2g0Gt588006duzIxx9/XKwBCiGEEI+SrGSIO6Ehce0w0JmOFWzfpzfur7+OZe3aZRBdKbm7Th/+q9N3aVO2cZUD2Vlawk/FEnIommsX4lF0+c3MAjY1IdLjNLtUW0lWJWKRYMEw7ZPYaewMzcY1H8f4FuOpZvfoDYFX3AqdVOfk5HDx4kXq169vtPzixYvo8vjjF0IIIcSDZSdnc/vDpdz50Qx0KoyKWwG7rl1xnzwJq4YNyybA0mSo078Fik5fLmNZC5o/V9aRlQmdTuHGxTuEHI7iyolYsjO1+ba1rqImtsZldltsI1p13Whdli6LwOuB9Kvdz7DMy96rxOJ+1BQ6qR41ahSvvPIKYWFhtGvXDoDg4GAWLlzIqFGjCrWvVatWsWrVKiIiIgBo3Lgxs2bNMkwiExYWxrRp0wgKCiIzM5PevXuzYsUKqlatWtiwhRBCiHIp584dbu++yZ0jt1FyLgDG04bbdHiMKpMnY92iRZnEVyZy6/S3vwop0WDton/s1a6sIys1iqIQdz2F0OAoQo9Ek5aY/8QsNo4WJNW8RoD1z1zWnDVZ72zpzBPeT9Cvdj+auxffDJ7CWKGT6kWLFuHh4cHixYu5desWAJ6enrz11ltMnTq1UPuqUaMGCxcupG7duiiKwvr163nqqac4ceIE3t7ePPHEEzRv3px9+/YB8O677zJgwAAOHTqEWqZXFUKIh/cQ0xiL4qVNTib+2y9I+3k19lXjqdE5h6xkM5IibEi/bYF10ya4T52K7WOPlXWoZaNGW6jSELSZ+n9rtC3riEpFcnwGl47obziMv5mabztzSw2+rdyp196D6vWceWbnYC7fuWRYb21mTfea3enr05cO1TpgrpbReEpaoZNqtVrN9OnTmT59OklJ+oH+H/YGxQEDBhg9nj9/PqtWreLQoUPcuHGDiIgITpw4Ydj/+vXrcXZ2Zt++ffTo0eOhjimEEEIUyt3jJceG6IfGK+xsinfRZemIP3ab20v7Y2keR9WWiagtdOiyVdhWzcTGPRutyg6b+Z+jsqkEw+OJB8pMzyHseAyhwVHcuJQA+ZVJq0FTM4OY6pd4e+hEzC3+u7+tr09fPk34lM7VO9O3dl/8a/jLyB2l7KEnf4mNjSUkJASABg0a4ObmVqRAtFotW7ZsITU1lQ4dOhAWFoZKpcLS0tLQxsrKCrVaTVBQkCTVQghR3ui0cOskbH4RBn9Z1tEUD5PxkuP1dxK61S90Yq3L0ZFw7DZxQXFoU/VjBzu0TkNtoSMrWYPaQoNZ9bqYZVxGZWMH5jITYqkq5W9vtDk6Is/dJiQ4mojTcWhz8r8vzcJTS3iVk+y12E6aWTLoYGhqH+pZ1DO0ebbeszxT9xmcrJxKIXqRl0In1ampqbz++ut88803hhsTNRoNw4cPZ8WKFdjYFO6q6MyZM3To0IGMjAzs7OzYvn07jRo1wt3dHVtbW2bMmMEHH3yAoii8/fbbaLVaQ9lJXjIzM8nMzDQ8zu1NF0IIIQrt3vGSza0hJ0N/A10Bk2olJ4fEH7cT+2kIOYnZRuss7HNQsMTKwwIze3NUVdzheoR+vG9R6SiKQnR4EiHBUVw+GkNGana+bc2dFGKqX2Kf1Q5iLW6YrD908xD1nP9Lqh0tHU3aiNJV6KT6zTffJDAwkF9++YVOnToBEBQUxKRJk5g6dSqrVq0q1P7q16/PyZMnSUxMZOvWrYwYMYLAwEAaNWrEli1beO2111i+fDlqtZrnn3+eVq1a3beeesGCBcyZM6ewT0sIIYQwldd4ySpNgZJeRVFI+u134j5bQ9bVqybrzdzdMKvvi6XmBqqMJP39iYqi7/G3kgSpMkmITiP0cBQhh6NJik3Pt52lrRlJXtcJsPqJcKvz996zSnW76vT16Utfn77Uca5TwlGLwip0Ur1t2za2bt1K165dDcv69u2LtbU1Q4YMKXRSbWFhQZ06+jdG69atOXLkCMuWLWPNmjU88cQThIWFERcXh5mZGU5OTnh4eFD7PmNzzpw5kzfffNPwOCkpCS8vGS5GCCHEQ8hrvGRFC+b5J72KxpKUqmOJXbaczND/M1mvsdbg2qkKzh9sQ50QCn+8DcnR/03xrjHT122LCi09OYvLx2IICY4iOjz/b801Zmq8m7lSv70HNRu78lbQNMKvnjesd7FyoZd3L/r69KW5e3NUKlW++xJlq9BJdVpaWp5D2lWpUoW0tKJ/XaXT6YzKNwBDvfa+ffuIiYnhySefzHd7S0tLozpsIYQQZcCskowucu94ydkZ+qTX3tOkqaIopF5JIXbYcDLOmA5rprZU49LeFZf2rmisLcDaGhzuneK9I8Rd0k9pLiqcnCwt4afjCA2OIvJcPLr8JmYBqJbGJbejzHlxGo4O/03G0s+nH3/f+JvHaz5O39p9eczzMczUD30LnChFhX6VOnTowHvvvcc333yDlZUVAOnp6cyZM4cOHToUal8zZ86kT58+1KxZk+TkZL777jsCAgLYtWsXoJ8evWHDhri7u/PPP/8wefJk3njjDZOJZ4QQQpRD2RmwZYT+92fX628Eq2jHuXe8ZBtnsDcd/SPtxEliv7lC2lXTIdBUVla4vPAcLi6HMbPKo5fx7inen5gP28cVX/yixOl0CjdD7xByOJqw4zFkZ+Q/MYvaJZsrVU4QZPMbKZZ3AOh3pxM9HXoa2nTx6kLA0ACszeRG1Yqm0En1smXL6NWrFzVq1KB5c/0A4qdOncLKysqQDBdUTEwMw4cP59atWzg6OtKsWTN27dpFz576N1dISAgzZ84kPj4eb29v3nnnHd54443ChiyEEI+e0kpoHwV3j5fsVl9fpvGv9FtpxL42kdSgv002U5mb4zR0KG7jxmLmZK9/PXT5J1yiYrl9I4WQ4ChCD0eTmpCZbzu1rY4oz1AO2Owk1uaaSZ30xfiL9Kz1X1JtrjavmGNKy9j3hU+qmzRpwqVLl9i4cSMXL14E4Pnnn2fYsGFYWxfuquqrr7667/qFCxeycOHCwoYohBCiIqlI/xlnJEJKFLrUVNKiIO6kGem3L2PtmoWDdxoW9jlkpZij9e6D0/j3Ma92V230C5uNL3bEg6k1UL11ubkwTLmTSeiRKEKDo7l9IyXfdmaWGtJrRLPX6keu2p9HURmXgTR0aUhfn7709umNh61HSYctSslDFenY2NgwZsyY4o5FCCGEKL+02eiiQ9CmZZKTomBuqVC1pZqEKzY41daPN42ZOTZ1XVE7hEPONUBuOKzostJzCDsRS+jhKK6H3LnPxCwqvBq6UL99VXyau7Pq3KdEnDlnWF/DrgZ9a/eln08/ajvlP+CCqLgeKqm+efMmQUFBxMTEGMaqzjVp0qRiCUwIIYQoL7KTssm6lomZZRZZyRpADRkKFnZanOuloLGzQW1phsbKDKrUg4SrcHqzviZbVDharY5r5+MJDY4i/FQcOdn5T8yidUvlrHMQbz3/KnWr+RiW96vdjx8v/Uhvn9709elLU7emMnJHJVfopHrdunWMGzcOCwsLXF1djd4gKpVKkmohhBCVRk58PLdXfcad7y5Rw0+LLlvFf0WxKrBywNIuB5VrbUi++e9iFVjaQXxYWYUtHoKiKMREJBNyOIrLR6NJT85/Yhbssrlc5RhH7feRYBMNQEBcHepW++9bfF8nX/Y+uxfNXTX4onIrdFL97rvvMmvWLGbOnHnfSViEEEKIPFWAGmptUhK3v/6a+G82oPw7XGxWshm2VTMhQ0FjbYZF3caYkaCfDCYrRT+GtUql/zczBaq1KtsnIQokMTZdPzFLcBSJMflPzIKljltVQwi2/5Mo+3C4q07aXG1OQmaCySaSUD9aHmqc6ueee04SaiGEEJWOLjWV+A3fcvvrr9ElGU/YkRRhg03VHGyrq1FZmqHijn7mw5YvwfFvIDnqvwlcrByh+XOFD6CyjO9dzmWkZHP5WDQhwdFEXUnMt53aTEVOjQR2W2zlqvM5dOr/Rm9RoaKtR1v6+vSlR60eMk24KHxS/corr7BlyxbefvvtkohHCCGEKHW6zEwSNm0i7vMv0N6+bbLews0Sl2Y5WNZvgio1BnLSoVZnaDkMvNqBa527JnC5a7koN3KytUScvk3o4Siunr2NTpv/xCyedRyp394D31ZV2B31B+FBpw3rGrk20o/c4d2bqramk+GJR1ehk+oFCxbQv39//vjjD5o2bYq5ufFYikuWLCm24IQQQoiSpGRnk/DjduJWrSInKspkvbmXF+6vjcUh5XtU0af0k77Yuup7pPt8+N8wb3dP4HL3clGmFJ3CzcsJhAZHcfl4LFnpOfm2zXZI5azL37zQvz/dm7Q2LO9eszv1nOvRvWZ3+vr0xcfRJ999iEfbQyXVu3btMsxqeO+NikIIIUR5p2i1JP32G7ErVpIdGWmy3qxqVdxeew2nwYNQoYXNm8ogSvGw4m+m/jsxSxQpd/KfmEVnlc1lt2Ocdj5AnO11UEHVBA3d6WxoY2tuy7Ynt5VG2KKCK3RSvXjxYr7++mtGjhxZAuEIIYQQJUdRFJL37CFu+XIyL102Wa9xccF17Bicn3sOtdW/vc3ZMgtiRZCamMmlI9GEBEcRdy3/iVkUMx033S9y0jGQ606hKKr/hsuzNbfFztyuNMIVlVChk2pLS0s6depUErEIIYQQ/7l+BKLPQXYq/D4dWgx76HGfFUUhNSiI2KXLyDh3zmS92t4e11dexuWll1Db2hY1clFKsjJyCD8ZS8jhaK5fiEfJb2IWFahqpLPbcisRLmfI1vzXe22uNse/hj99a/fFr7ofVmZSuiMeTqGT6smTJ7NixQqWL19eEvEIIYQQEBkMu2dB2m1Qm0FEEESfhV4LCp1Ypx09SszSpaQfPWayTmVjg8tLL+H68ig0jvcZvSF3uuyn18D2cYV9NqIY6bQ6rl28Q2hwFFdOxpKTlf/ELG5edtRv70HdNlW5kh3KZ78dBfQjd7TzbEc/n348XutxHCwcSit8UYkVOqk+fPgw+/btY+fOnTRu3NjkRsUff/yx2IITQgjxiDq9CTISwdxG383o7FPoWQrTz5wldtkyUoOCTNapLCxwfv45XMeOxczVtbijF8VMURRiryYREhzFpSP3n5gl2yaNc87/4NetGUM7dzcsb6I0oWetnrSs0pLe3r1xt3EvjdDFI6TQSbWTkxODBg0qiViEEEIIvfgrYGEHmf+OFV2IWQozQkOJW7GC5N17TFdqNDgNHozba69i7ulZzEGL4paUYUdoTF1C55/kTnT+E7PozLMJcz3BeZdD3HK4AiqFtMQIhjPU0EalUrGkq4xQJkpOoZPqtWvXlkQcQgghxH9cakNCYKFmKcyKzyT27XdI+u13TIprVSoc+vfHfeIELGrVKuHgRVFkpGYTdjyGkEO3uBU27N+lpgm1otZx0yWUcy4Huep8Dq36v+Hy3K3daV6lOVqdVmY1FKWm0Em1EEIIYcLcCoZ+C1tGFHyb7Iz/2j+73nhs52bPwc2TBZqlMDsqirid10k4EQ9KiMl6+549cZ/0OpZ16xbuOZWECjBFe1nQZuu4evY2IYejiDgThy4n/4lZzKvlsNfyR8JcT5BpnmZYbm9uT49aPehXux9tqraRZFqUOkmqhRBClD8120PPufedpTAnLo64zz8n4ftNKNmmNba2nTvjPnky1k2blGbkooAUncKtsERCDkcRdiyGzLT8J2ZxdLei/mOe1GtXFZ19Jqt+mEGOkoOF2gJ/L3/6+fSjc43OWGosS/EZCGFMkmohhBDlUz6zFGoTE7n91dfEb9iAkm5aFmDdpjVVpkzBpk2b0oxWFNCdqNyJWaJJvp2Rb7tsiwwuugRTq0oo40d/jcrC+t81NrzS9BVq2Nfg8ZqPY29hXzqBC/EAklQLIYSoELQpqdzZ8A23v16LLjnZZL1VNWvcZy3C1r+bzPBbzqQlZXHpSDShh6OIuWr62uXSqbWEu5wmxO0w1x0volPrOG/pzDQzM+4ea2xiy4klH7QQhVSkpDojIwMrKxkkXQghRMnRZeu4s34Dt79ai/bOHZP1lnV8cWuVg319B1SdOupvbBRlLjtTS/ipWEKCo7l2IR5Fl3edtILCLafLhLge5orLKbLN/puYxdvBm361+5GtzcZcbZ7n9kKUF4VOqnU6HfPnz2f16tVER0cTGhpK7dq1effdd/H29uaVV14piTiFEEI8YpTsbBKO3ibuQDQ5yWdN1pvXrIn76xNx6Nkd1Y8vl0GE4l46ncL1i/GEBkcTdjKWnMz8p3i3rqpmn9WPXHY9TqplomF5Fesq9PHpQ9/afWno0lC+dRAVRqGT6nnz5rF+/Xo++ugjxowZY1jepEkTli5dKkm1EEKIIlG0WhJ/+YW4FSvJvnHDZL2Zhwdu41/D6emnUZmb60cREWVGURTirqUQclg/MUtaYla+bW2dLKnXrir12nngXM2ab7fOJTU9EXsLe56o9QT9avejVZVWMnKHqJAKnVR/8803fP755zz++OO8+uqrhuXNmzfn4sWLxRqcEEKICuT6EYg+B9mp8Pt0aPpsoTZXdDqS/9xN7IoVZIWZTvKicXXFbdxYnIYORW0pozyUteT4DEIP6284jL+Zmm+7HLMsLjsfR1M/lSUvzEOt/q/n+Y3Wb2Brbkvn6p2x0FiURthClJhCJ9U3btygTp06Jst1Oh3ZeQxpJIQQ4hEQGQy7Z0HabVCbQUQQRJ0BjTlYO993U0VRSP3rADGfriLz/AWT9WorDa7jXsNl+EjUtrYl9QxEAWSmZRN2IpbQ4ChuhCbk206n0hHpdJ5Lbke56nyWHE02Kq2K2xlTjKYHH+A7oBSiFqJ0FDqpbtSoEQcOHKDWPTNSbd26lZYtWxZbYEIIISqQ05sgIxHMbfQ3Cjr76Cdsycm8b1KdGpFC7L4o0q9PMlmntrHBubUdrh3c0bz0ivHkMKLUaHP0E7OEHo4i4vRttDm6fNvG2F0lxP0wYa4nyDD/r/e6mXsz+vr0xcpMXkNReRU6qZ41axYjRozgxo0b6HQ6fvzxR0JCQvjmm2/YuXNnScQohBCivIu/AhZ2kJmkf6xSgbktpJuO1gGQfvo0sUuWkHroisk6lYUFzi+8gOuolzDb+0ZJRl0+lMNZFhVFIepKEqHBUVw6Fk1mav4Ts9i6mhNo/TOX3I6RaB1rWF7bsTb9avejj08fvOy9SiNsIcpUoZPqp556il9++YW5c+dia2vLrFmzaNWqFb/88gs9e/YsiRiFEEKUdy61ISEQFEWfUCsKpMVBTgZcP6yvsW4xjIx0J2KXLSdl3z7TfZiZ4fTMYNxeew3zqlULfgPivbXcLYbpZ2QUhZYQnUbI4ShCg6NIisv//FvamlG3TVXqt/egqo8DAbu+IjE6lqo2Venr05e+tftS37m+jNwhHikPNU61n58fu3fvLu5YhBBCFJfSTjSbPQc3T0JyFKg1EHtB30ut6ECbg+7SfnIO/0ZUgEJ63D03pKnAcUB/3F6fhIVXIXs086rljj4LvRYU3/O9uye5Eo40kp6cxaWjMYQERxETkZRvO606hwjnM8TWuMzXo1dgbv5fCjGxhX4yllZVW6FWqUs8ZiHKo0In1UeOHEGn09G+vfGHVXBwMBqNhjYyLawQQpSt0kg071WzPfScCzteg+w0fSkIoEtPJ+t2FtlJ0VjY5uBQy9IoqbZv6Ih716pYjn//4Wqm86zlvgqnN0tv9X1kZ2mJOBVHyOEoIs/lPzELwA2HS4S6HyHc5RRZZvqLitPxp2hdtbWhTRsP+b9fiEIn1RMmTGD69OkmSfWNGzf48MMPCQ4OLrbghBBCPISySjRrtIWqjQHQpSaQE3eHrJtpKIo+YdPlqLCw19fm2vp3wX38q1ifW1i0Y+ZVy21pB/GmQ/I96nQ6hRuhdwgNjiLsRCzZGflPzBJvfYtQ9yNcdjtOiqW+Ll6j0tC5Wmf6+ugnZRFCGCt0Un3+/HlatWplsrxly5acP3++WIISQghRBGWYaOak5RB/MBbznCvYuKWhKBpABSiozRSyzapT67uvsWnVSl9Kca6IB8yrljszBaqZ/j/1qIq7nkJocBShR6JJTcjMt52NowXH7Pdx1uUgt21u6F82oIV7C/rW7ksv7164WLmUUtRCVDyFTqotLS2Jjo6mdu3aRstv3bqFmdlDlWgLIYQoTmWQaGpTUoj/+iviv7qILlOHtaslVg4ZWNhp0eWo0NhZoHH3weKZFahqFmMc99ZyJ0SAlSM0f674jlEBpdzJIPRINKHBUdy+8f/t3Xd8FVXex/HPzG3pPaGXhN4FFIRVEEGl2FbWvoqKoIgC7upant119Xl2cVddKSqCK4KuiA17QVTARgsGEJQkhNDTe71l5jx/XBK43IRievi998XLZM7cmTPjmP1ycuZ3al+Yxeqw0G1wLL2GtaVD70j2b/ySvNTDdI/ozqSESYzvOp6OoR0bsedCtFxnnIIvvfRSHnnkET744APCw8MBKCws5NFHH5XqH0II0Rw0YtA0KyooWLGCvJf+g1FYWL29Is9OVlI4kX1cBHfQsAz9Ldrgm6HTsPrtwIlzubtcAA1xnhbAVeEhLSmb5E1ZHE4pgFqmSZsYHIpIZk/cjyy582miw46NPt/e/3Zu7H0jvaJ6NVKvhWg9zjhUP/3004waNYouXbpUL/aybds22rRpw2uvvVbvHRRCCHGGGiFoKpeLgrffJu/FxXhycvza7V06EzlzBmElK7xl1Sb8s+EWbzluLneDnqcZMgyTg7vySd6cSfr2XAz3SRZmCT5ASuwW0qKTqLCXALA+ax3XhF1TvU+XsC61fVwIcQpnHKo7dOjAjh07eP3119m+fTuBgYHcfvvt3HjjjdhstobooxBCiDPVQEFTeTwUffAhuc8/j/vIEb92a7iN2FFtCH/iXTSrFd5+o17O22w0g4ValFJk7SsmZVMWqYlZVJa6a9232JFHakwiqbGJFAZmAxBoDWRCpwlMip/EyPYjG6vbQrR6v2oSdHBwMNOnT6/vvgghhGimlGlS8vnn5Cx8Dld6ul+7JSaGmGlTidA+QbfqcLa9Y9MIYbsop5yUzVkkb8qkKLui1v0cQVbSY7azOfRLMkPTQVNYNAsXtr+QiQkTubjTxQTZghq0r0KcjX7VT73U1FTWrl1LdnY2pun7q6a//vWv9dIxIYQQTU8pRem6deTMX4Bz926/dkt4ONHT7iTy5pvRrRq8/VkT9LL1qix1k5qYRcrmTDL31r4wi27V6Doghl7D29KlXzT/TUnnw8S9DI4bzKT4SVzS9RKp3CFEAzvjUP3SSy8xY8YMYmJiaNu2rc8SpJqmSagWQohWomzjRnKenUfF9u1+bXpwMFG33UbUbVOwhIZ6N7bC1QabgsdlsO+nPJI3ZXJgZx7mSRZmORK6h9TYRP5802wGduxXvf3q7lczrss4OoR0aIwuCyH4FaH6//7v//j73//OQw891BD9EUII0cTKk5LImb+A8o0b/do0h4PI399M9J13Yo2MbILetU7KVBxJLSR5cyZpW7NxnWRhloLATFJiEtkTs5WSgHwAvs8d7BOqwx3hhDvCG7zfQohjzjhUFxQUcO211zZEX4QQQjShyl9+IWf+AkrXrfNvtNmIvPZaou+6C1ubuEbvW2uVd+TowiybsygtqH1hlnJbMXtifiQlZgu5wYdAgwhHBNd3vZ5JCZMYFDuoEXsthKjJGYfqa6+9li+++IK77767IfojhBCikTn37iVn4UJKPvvcv1HXCb/6amLuuQd7R5lKUB/KipykbPbOk849WFrrfla7TmH7Q6wL/IDD4SkozSTQGsikzpOYGD+REe1HYNOl6pYQzcUZh+ru3bvzl7/8hY0bNzJgwAC/MnqzZs2qt84JIYRoOK5Dh8l9/nmKPvgATP/6xmETJxBz7304EuKboHeti6vSw95tOaRsyuTQ7gJULdOkNQ069omi1/C2xA+KYUPO96xcu4dRHS5kYvxELup0kVTuEKKZOuNQvWTJEkJCQli/fj3r16/3adM0TUK1EEI0c+6sbPIWv0jB2++A27/GcchFFxE7exYBffo0Qe9aD9MwOfhLAcmbMknfloPnJAuz5AQfJDUmkRsun8gVA86p3j6yw0jWXreWiICIhu+wEKJOzjhUp9dQn1QIIUTz5ykoIO+l/1Dw+usop//83aAR5xM3ezaB55zTOB06tAWydoG7DD77E5xzs3c1yBZMKUXOgRKSN2aSmphFRUntC7OU2PNJjd1KakwiBUGZAPQvb88VTKjex6bbJFAL0UKcZdX5hRDi7GOUlJD/35fIX74cs6zMrz1w0CBi759D8PnnN16nDmyCNX+F8jzQrbDvO8jaCZfNbZHBuji3gpTNmSRvyqIwq7zW/ZyWcvZGbyMlNpGM0L2gKTqEdOB38dOYGD+R7pHdG7HXQoj69KtC9aFDh/jwww85cOAALpfLp+3f//53vXRMCCFE3Zguk/wtueTNuxyz2H/hEEfv3sTOnkXIRRf5rDnQKHashMoisAV5JxJHxkPhftjx5rFQ3QyWBD+ZyjI3e7Zmk7I5k4w9RbXup1s0zE7FrLa/zYHIXRi6h0hHJDccV7mj0e+/EKLenXGo/uqrr7jyyitJSEhg9+7d9O/fn3379qGUYsiQIQ3RRyGEEGfAdLkoXPEGuQt3Y5R5/Nrt8fHEzrqP0MsuQ9P1JughkL8X7CHgPBr2NQ0cIZCf1jT9OU2G22TfzlxSNmWxb2cupqf2hVnaJoTT6/y2dB8SR6ZxmFc//gcTOo9nUsIkhrcbLpU7hGhlzjhUP/LIIzzwwAM8/vjjhIaG8u677xIXF8fNN9/M+PHjG6KPQgghToPyeCh6/31yXngBz5EMv3Zbhw7EzJxJ+JVXoFmbePZfVAIUrgelvIFaKXCWQvvmNzijTEVGWhHJmzJJ+zEbZ7n/X1SqFAZkkRKbyPAL+zB51J3V27vSlW9u+AaHxdEYXRZCNIEz/qn6yy+/8MYbb3g/bLVSUVFBSEgITzzxBFdddRUzZsw47WMtWrSIRYsWsW/fPgD69evHX//6VyZM8L6kkZmZyYMPPsiaNWsoKSmhV69e/M///A+TJ08+024LIUSrpUyT4k8/I3fhQlz79/u1W2NjiJ4xg8jf/Q7Nbm+CHtZg4A1wZBuUZIJugcJ9EBAOg25o6p5VK8gsI3mjd2GWkvzal2CvsJZ4F2aJTSQn+ABo0EkP9NtPArUQrdsZh+rg4ODqedTt2rUjLS2Nfv28S6Pm5uae0bE6duzIk08+SY8ePVBKsXz5cq666iqSkpLo168ft956K4WFhXz44YfExMSwYsUKrrvuOhITExk8ePCZdl0IIVoVpRSlX39NzvwFOFNS/NotgRaifxNH5D/eRQ9rZkuKdx4OlzwB788Adzl0uQAG3wydhjVpt8qKnOxJzCZ5UyY5B0pq3c+juUiP+onU2EQOhe/G1E16R/Xm1vg/Mj5+PG2D2zZir4UQzcEZh+rzzz+f7777jj59+jBx4kT++Mc/8tNPP7Fq1SrOP8M3x6+44gqf7//+97+zaNEiNm7cSL9+/fjhhx9YtGgRw4Z5f8j++c9/5tlnn2Xr1q0SqoUQZy2lFGU//EDO/AVU7tjh166HhBB16++JCv0Wi8MCgf6jps1Cx/OgjXdQhgn/9L6Y2ATcTsO7MMvmTA7+nF/rwixoENjZ5BPrCtKjduC2OukY0pE7E+5kYvxEukV0a9R+CyGalzMO1f/+978pLfUuq/r4449TWlrKm2++SY8ePepU+cMwDN5++23KysoYMWIEACNHjuTNN99k0qRJRERE8NZbb1FZWclFF11U63GcTifO4+qvFtfwxrsQQrRU5T/+SM6z8yjfssWvTQsIIOqW3xN1xx1YQwLh7R+aoIctg2mYHEr2Lsyyd1suHqdR677RHUPoNawtPc5rgx5i8PaHz3Btx8lMSpjEgJgBUrlDCAH8ilCdkJBQ/XVwcDAvvvhinTrw008/MWLECCorKwkJCeG9996jb9++ALz11ltcf/31REdHY7VaCQoK4r333qN799rreM6dO5fHH3+8Tn0SQojmpmLXLnLmz6fsm2/92jSbjYjrryfmrulYY2O9G921zwE+WymlyD1YSvKmTFK3ZFFe7Kp131J7IakxibQ5J4CZV/7Vp+3Taz6VIC2E8POrQvWWLVuIjo722V5YWMiQIUPYu3fvGR2vV69ebNu2jaKiIt555x2mTJnC+vXr6du3L3/5y18oLCzkyy+/JCYmhvfff5/rrruOb7/9lgEDBtR4vEceeYQ//OEP1d8XFxfTqVOnM71MIYRoFpx79pCzYCElX3zh32ixEP7bq4m95x5s7ds3fudaiOK8ClK3ZJG8KYuCDP/Fb6q4LJXsjdpGSuwWMsLSsFqsXBp5KUopnxAtgVoIUZMzDtX79u3DMPx/TeZ0Ojl8+PAZd8But1ePPA8dOpQtW7Ywf/58/vSnP/Hcc8+xc+fO6hchBw0axLfffsvzzz9f6wi5w+HA4ZA3rIUQLZvr4EFyn3uOoo8+BtP0bdQ0wiZOJPa+e7F37dok/WvunOVu0n7MIXlTJkdSC2vdz9AMDkb8TGpMIvsid2FaPJzX9jzuSriFsZ3HEu4Ib7xOCyFatNMO1R9++GH116tXryY8/NgPGsMw+Oqrr+haDz/cTdPE6XRSXu5d5lU/YWECi8WCeeL/wQghRCvhzsoi94VFFL77Lnj86yGHjB1L7KxZBPTq2QS9a94MU2f/jnxSEvPY91Mehqf2/68I62TjE+sK0qKTqLSV0SeqD/cnzGZ81/G0CW7TiL0WQrQWpx2qr776asD7a68pU6b4tNlsNrp27cozzzxzRid/5JFHmDBhAp07d6akpIQVK1awbt06Vq9eTe/evenevTt33XUXTz/9NNHR0bz//vusWbOGjz/++IzOI4QQzZ0nP5+8xUsoeOMNlMt/rm/wyJHEzplN4MCBTdC75kspRebeYpJTL2BPTjec3+2udd+w2EB6DWtDz+FtCY8NZMNXb3BhzC1MiJ9AQnhCrZ8TQojTcdqhump0OD4+ni1bthATE1Pnk2dnZ3PrrbeSkZFBeHg4AwcOZPXq1VxyySUAfPrppzz88MNcccUVlJaW0r17d5YvX87EiRPrfG4hhGgOjOJi8pYuJf/V11BHf0N3vMAhQ4idM5vgYU1bv/m02ALgpjePfd+AL0sWZpWTvCmTlM2ZFOdWAv1q3K/CWkpadBKubjn855aFPvOhXxj3QoP1Twhx9jnjOdXp6el+2woLC4mIiDjjk7/88ssnbe/RowfvvvvuGR9XCCGaO7OsjPzX/kve0qWYNZT+DOjb1xumL7xQXow7qrzYxZ6t3hcOs/fVXi7Vo7nZF/UTqTGJHIzYTaAjgHGdx+ExPdgstkbssRDibHLGofqf//wnXbt25frrrwfg2muv5d1336Vdu3Z8+umnDBo0qN47KYQQrYXpdFK4ciW5S17CyMvza7d360bsrFmEXnqJhGnA7TLYtz2X5E2ZHPg5H2XWvDKLwuRI2B5SYhNJj9qOshuM7jia2QlTubDDhQRYm2ZhGSHE2eOMQ/WLL77I66+/DsCaNWv48ssv+fzzz3nrrbd48MEH+aKmsk9CCHGWU243haveI3fRIjyZmX7ttk6diL13JmGXX45msTRBD5sP01QcTi4gZVMmaUk5uE+yMEt42wDWON4hOXoL5Y5ChrU5jz93e5SxXcYSZg9rxF4LIc52ZxyqMzMzq+s+f/zxx1x33XVceumldO3aleHDh9d7B4UQoiVThkHxp5+Ss/A53AcO+LVb27QhZsYMIiZfg2ZrZVMTTpxjfQq5h0pI3pRF6uZMyopqX5glKNxOz/Pa0Ov8tkR3CCH7x42MDTiH8fHjiQuKq4+eCyHEGTvjUB0ZGcnBgwfp1KkTn3/+Of/3f/8HeN/Arql+tRBCnI2UUpR8+SW5CxbgTN3j126JiiJ6+jQib7gBPaABpiacYaBtKqXOYFKyu5Mydxt5R/xf1Kzi0itJj97OoXY/s2LafwiwHVuP4A9D/1Dr54QQorGccai+5ppruOmmm+jRowd5eXlMmDABgKSkpJMuHy6EEGcDpRRl331Hzrz5VO7a5deuh4YSPfUOom65BT04uAl62PScFR72JmWTvOEIh1NvBjTAP1CbGByM2E1qbCL7In8iMiSC8fHjcZqVBCCLfAkhmpczDtXPPvssXbt25eDBg/zrX/8iJCQEgIyMDO65555676AQQrQU5Vu2kD1/PhWJW/3atKAgom65heg7bscSfvat0mcYJgd25ZOyKZP0HbkY7qqFWfxfxswO3k9KbCJ7Yn7EFqQxrss4Hk64h3PbnItFP7vnmwshmi9NKVXzq9StRHFxMeHh4RQVFREWJi+tCCHqX8VPO8mZN4+y77/3a9PsdiJvvIHo6dOxRkc3Qe+ajlKKrPRiUjZlkpqYTWWZu9Z9Q6McJIZ/zY/h66gILmR0p9FMip/EBR0vwGGRUWkhRNM53Sx5WiPVH374IRMmTMBms/ksV16TK6+88sx6KoQQLVRlSgq5CxdSsuZL/0aLhYjJk4mZcTe2du0av3NNqDC7nJTNWaRsyqQop6LW/RxBVrqHb6dXXCptp/6T0P3ZXKwNYGznsYTaQxuxx0IIUXenNVKt6zqZmZnExcWh63rtB9O0ZveyooxUCyHqm2v/fnIWPkfxJ5/AiT9CNY2wyy8n9t6Z2Lt0aZoONoGKUhd7ErNJ3pRJVnrtC7MYmod9kTtJjU3kxVv+TocvHvY2XLvc+3KlEEI0M/U6Ul21RPmJXwshxNnEnZFB7guLKFy1CmoYQAi95BJiZ92Ho0ePJuhd4/O4DNJ35JKyOYsDO/Mwa1mYBeBI6B5SYxNJi95G+6g2TEqYRKBDQrQQovU44xcVhRDibOPJzSV3yRIK31iJcvvPCw6+4AJiZ88mcED/Juhd41Km4nBqoXdhlh+zcVXW/tvJgsBMUmISSY1NJCjCxoT4CfwtYQ59ovp4V4t0VzZiz4UQomGdUag2TZNly5axatUq9u3bh6ZpxMfH87vf/Y5bbrlFltQVQrQqRlEReS8vJf+111AV/nODA88dStycOQSde24T9K5x5R0uJWVzJimbsygtcNa6X2CYnf1xO/gm8COckUVc2vVS7o1/mqFthkrlDiFEq3baoVopxZVXXsmnn37KoEGDGDBgAEopfvnlF2677TZWrVrF+++/34BdFUKIxmGUllHw2qvkLX0Fs6TErz2gf39iZ88m+ILftOrBhLJCJylbskjelEneodJa97PadRIGx9JrWFs69o4kMdvOaHdvLuhwAXaLvRF7LIQQTee0Q/WyZcv45ptv+OqrrxgzZoxP29dff83VV1/Nq6++yq233lrvnRRCiMZgVlZS8MZK8pYswSgo8Gt39OhOzKxZhI4b12rDtKvSw96kHJI3ZXIouQBqmSZtYnIoPJnU2EQeuPYuRnbpV902rN2wRuqtEEI0H6cdqt944w0effRRv0ANcPHFF/Pwww/z+uuvS6gWQrQ4yuWicNUqcl9YhCc726/d1rkzsffdS9jEiWiW1jeFwTBMDv6cT8rmLNK35eBx1/5Cek7wQVJjEkmN2UqPDvFMjp9Inza9GrG3QgjRPJ12qN6xYwf/+te/am2fMGECCxYsqJdOCSFEY1CGQdFHH5H73PO4Dx3ya7e2bUvMPTOI+O1v0Wy2Juhhw1FKkb2/5OjCLFlUlNS+MEuJPZ/U2ERSYxKJbBfMpIRJPBn/JzqFdmrEHgshRPN22qE6Pz+fNm3a1Nrepk0bCmr4dakQQjQ3yjQp+WINOQsX4kpL82u3REcTc9d0Iq6/Ht3RulbzK86tIGVzJsmbsijMKq91P3uglZJOh/jc9hZmm1ImJkzkwYTn6BXZq9VOfRFCiLo47VBtGAZWa+27WywWPB5PvXRKCCEaglKKsm++IXv+fJw//+LXroeFET11KlG3/B49KKgJetgwKsvc7NmaTcqmTDLSimrdT7dodOkfTa/hbekyIJqD5Qe4sKIHQ9sMRddqX/hLCCHEGVb/uO2223DUMmrjdNZeYkkIIZpa2abN5MybR0VSkl+bHhRE5JRbib79diytZOVVj9tg/095JG/KZP/OPEyj9oVZMkL3khK7hasvvZiJ5xx7byY+PJ748PjG6K4QQrR4px2qp0yZcsp95CVFIURzU7FjBznz5lH2wwa/Ns1uJ/Kmm4iePg1rVFQT9O7X+XxnJve98SOGqTi3axQzRndjTO84lKnISCskeVMWaT9m4yyv/beHhQFZpMQmsjc2if4Jvbgl/nIu7nxxI14F3mXJb3qzcc8phBANRFNK1T580Qqc7nrtQojWpTI5mZz5Cyj9+mv/RquViN9NJmbGDGwneVekOVq7O5tZK5MoqfSgAQ6bjk3XmdG1LcGppZTm1/5bwwprCXtifiQlNpEOXaOY2G0il3a5lOjA6Ma7ACGEaGFON0vKMuVCiFbFmZ5O7sLnKP7sMzhxzEDXCb/iCmLunYm9U8usXLHkm724DRMd7w9wq1tRoTys3HmE68v8p+dZbTpafBkf6K9i7+xmYvcJ/Dl+Gh1DOzZ634UQojWTUC2EaBXchw+T88ILFL3/ARiGX3voZZcRO+s+HN26NUHv6oer0kPKkWLwKAKPlpJWKHQg33JcbWkNOvaKpNf5bUk4J5ZyShld3p2ekT2lcocQQjQQCdVCiBbNk5ND7ouLKXzrLZTbv9Zy8OhRxM2eTUDfvk3Qu7ozDZNDuwtI3pzJ3m25BFkNiqzeIK3hXfDQo4Gm4PnwUqzWQi46x8XMa++sPoadCCICIproCoQQ4uwgoVoI0SJ5CgrIf/ll8v/7Oqqy0q89aNgwYufMJmjIkCbo3cnV9qJhFaUUuQdLSd6YSUpiFhXFruq2YYaVjy0uXBroCjyawtTAqRmgmdi1aNbtsrJ2QLbPMYUQQjQsCdVCiBbFKC0lf9ly8pctwywt9WsPGDiQuDmzCRoxollOdVi7O5sH39mO21BowI5DhcxemcT8GwYzNDaUlM1ZpGzKpCCz5oVZEjwWznHB1gAPrqO1o3VNQykrGhAWYKfMafDSt3slVAshRCOSUC2EaBHMigoKVqwg76X/YBQW+rU7evYkds5sQsaMaZZhukrVi4YaoGkQYrdQUunhH69v5+ocS62f03WNkG4aS12fcqB0BIZhQUNDoWEq71QQAE3TsOoaaTn+f+EQQgjRcCRUCyGaNeVyUfD22+S9uBhPTo5fu71LF2Jm3UfYhAloevNf9W9vbilWXcfAxGJCaYkblwapuFgQ5g3HsYbOMKeVBI+Ftglh9BzWlu7nxmEL0nlvsUZGeTmGYXJ8bRPF0TnWSuExFd1iQ5rmAoUQ4iwloVoI0Swpj4eiDz4k9/nncR854tdubd+O2JkzCb/qKjRr8/9RppQiM62ISEMjr9KDRYFTA3XcoLrz6NeHrQYf2JyM6r+fpb+f7XOcwwVuqGV1AVNBqdOD3aIzbVRCA12JEEKImjT//ycSQpxVlGlS8vnn5Cx8Dld6ul+7JSaGmLvvJuK6a9Ht9ibo4ZkpyCwjZXMWL/ywl42mszo4e/xmqBybw6FQWKx2KsqH+b3UGBlkJ7uk5gVebBaNIZ0jmTYqgTG9ZD61EEI0JllRUQjRLCilKF27jpwFC3Du3u3XbgkPJ3ranUTefDN6YGCj9u1U1TpOVF7sIjXR+8Jh9v4Svne4+SGgliXDtRN/BGvoGgTbrVh0MBQ+qydqQIXbPOETEGDTCQu0senRcXW5VCGEECeQFRWFEC1G2caN5Dw7j4rt2/3a9OBgom67jajbpmAJDW30vp2sWsfxwdrtMkjfnkPyxiwO/pKPMo+F5a2OGgK1T5j2HbbWNfCYCk3TfF9qdFgpcxoE2S1Uug2qThEaYMVtyDxqIYRoShKqhRBNpjwpiZz5CyjfuNGvTXM4iPz9zUTfeSfWyMgm6J3XidU6bLpGcaWH25dtYVjXSH7XrQ1Rh53sTcrB7fRfyRHApXFspRY4LkPXXKVE13RsFg1d17AqHZfmHZmuquxh0cGiW6tHsF2GKfOohRCiiUmoFkI0uspffiFn3nxK16/3b7TZiLz2WqLvugtbm6afF1xVrcOlmSgFpVXBWUFSegHb9xZwebmdBI9/ObwyWyGpMVuxuobhNqwnZGj/QB1kt2C36vRtF8a0UQksWb+XpIMFKOUN9FWVPQZ0jGDahQm89O1e0nJK6RYbIvOohRCiiUmoFkI0GufeveQsXEjJZ5/7N+o64VdfTcw992Dv2KHxO1eLhJgQkg4WeEeZ1dFqHQosgE15R6G3ODzVodqlV7I3ejsFndIZNqQ/D3W7nX5bTeZ9mep3bF3zVuwIC7Ay/8bB/qFYwayVSVS6TTihsseYXnGyuIsQQjQjEqqFEA3Odegwuc8/T9EHH4Bp+rWHTZxAzL334UiIb4Le+Tv+xcROwQ5Mt/IuCQ7VUzgUYOJdKjzPYrI/YhdH2v9C36GdmdpjAoNiB1UvQjPn6LuDi9en+bxkaLfq2C16zYEaGNM7jgU3DJYRaSGEaAGk+ocQosG4s7LJW/wiBW+/A263X3vImDHEzp5FQO/eTdC7mn25K5PZK7dR6TKwKDCPjkwHKSg+cW0ZDTQM4iJLeeb3nRnebjg23XbS46/dnS0hWQghWhCp/iGEaDKeggLyXvoPBa+/jnL611QOGnE+cbNnE3jOOY3fuRoopchKLyZ5Uyb/m5SOUzNwqKoVCr1TPJyAjnd0GqieEq3rVp68ehwXdDi9YDymt0zbEEKI1khCtRCi3hglJeS/soz85csxy8r82gPPOYfYOXMIPn94E/TOX2FWOSmbM0nenEVxTgUAeWEG+rF1WNAAXSmcOlh1A2VaUXjnQ2tAqMNS40jzmda2FkII0bJJqBZC1JlZXk7+66+T95+XMYuK/NodvXsTO2c2IaNHV88zrou1u7NZ8s1e9uaWkhATwvRRCacdWCtKXOzZmk3ypkyy0ov92iMNnQyrt9KHqbsxdROl2Qix2fAYFgzTRNcgKthOmdOgb/vwGvt3OrWthRBCtB4SqoUQv5rpclH45lvkLl6MkZvr126Pjyd21n2EXnYZmn7ihORfZ+3ubGatTKqu0VxU4T5lYPW4DNJ35JKyKZMDu/IxzdpfJelmySZDD6dc6WhYcFgc2C06d1wQz8vfpddYieNEJ9a2rlq05aVv90qoFkKIVkpCtRDijCmPh6L33yfnhRfwHMnwa7d16EDMzJmEX3kFmrV+f8ycbmD9bEcGD7yRhGEq4kwL51VYaqwlvddq8EOAmzyrk+hIN9Mu6s2tYV35z3fpfi8TDuoYcVovGR5f2xqOLdqSllNar/dCCCFE8yGhWghx2pRpUvzpZ+QuXIhr/36/dmtsLNEz7ibyd79Ds9sbpA+nCqx5h0tZuXoPC1OO4FHeUnhHdIOPgwyfRVqCwuyU9Qxm9YEsSl0KDTsFpQHM+6yQ+TdorJh2vt+5T/clw6ra1icu2iLLiAshROsloVoIcUpKKUq//pqc+QtwpqT4tVsiIoieNo3Im25EDwxs0L7UFFjdhkmcxcHK/93sDdXBTjxWhf2ECh6bAlwYgbsI7OPiz5P/wJ3Ld+BRqt6naUwflVDroi1CCCFaJwnVQohaKaUo++EHcuYvoHLHDr92PSSEqNtvI2rKFCwhjTMKWxVYnUcDa1GpG91UhB5x8ry1goIwk3INnwoepu4BDYqDLDz+8F2EO7wvFzbUNA1ZtEUIIc4+EqqFEDUq//FHcp6dR/mWLX5tWkAAUbf8nuipU7FERDRanwzDJN6tc1tkFB8ezCVPN4kyNDp6LGx1eDCOhmkTMDWF0jwoXRERGEiFC/q3j6gO1NCw0zSkHrUQQpxdmjRUL1q0iEWLFrFv3z4A+vXrx1//+lcmTJjAvn37iI+vecnit956i2uvvbYReyrE2aNi1y5y5s+n7Jtv/do0m42I668n5q7pWGNj6+V8p6rnrJQie18JyZszSd2SRWWpmwDgOhzV+6wMdmJoYFNg6B4cFg2nYcHAhmZCuUvVOP1i+qgEZq9MQsM7Ql3mNLBZNJmmIYQQ4ow16TLlH330ERaLhR49eqCUYvny5Tz11FMkJSXRu3dvcnJyfPZfsmQJTz31FBkZGYSc5q+aZZlyIU6Pc88echYspOSLL/wbLRbCf3s1sffcg619+zqd5/gQ3T0uhIP5FVS4DTTAYdPRAJdhggm9woI4t1ynTa7hd5y9VoPNDg/5FpNKHawWDffRUnnRIQ5KK9x4lCIq2H7S6ReybLgQQoiTOd0s2aShuiZRUVE89dRTTJ061a9t8ODBDBkyhJdffvm0jyehWoiTcx08SO5zz1H00cdgmr6NmkbYxInE3ncv9q5d63yuE2tMo3lfIgTvCoXBdgslTgMU2BWYGlgUPlU7AFJtLj4JduHxfhI0zec4VQuzDO4cUWMVDyGEEOJ0nW6WbDZzqg3D4O2336asrIwRI0b4tW/dupVt27bx/PPPN0HvhGh93JmZ5C56kcJ33wWPx689ZOxYYmfNIqBXzzqfq2p02m0o9KNvD2rHBWqU9+uSymMj0grv3GiPBh8Hubi83E5Q0H70HqX8XNYTS54Nj9usrtpRXOk5GsytMo1DCCFEo2vyUP3TTz8xYsQIKisrCQkJ4b333qNv375++7388sv06dOHkSNHnvR4TqcTp9NZ/X1xsf8yxEKczTz5+eQtXkLBG2+gXC6/9uCRI4mdM5vAgQPr5XzHL9kNULWYoWlytN6d9/sTf2Xmrl7NXOHU4ZNIJ89cP45J/bsy/B9fYtWN6qodDpuFQI+JRymCHBaZxiGEEKLRNXmo7tWrF9u2baOoqIh33nmHKVOmsH79ep9gXVFRwYoVK/jLX/5yyuPNnTuXxx9/vCG7LESLZBQXk7d0KfmvvoYqL/drDxwyhNg5swkeNqxez3v8CojVwVmd8M+aaMcarbqGhoXXN2QyqX/XGqt2oGmc1yVSpnsIIYRoEs1uTvW4cePo1q0bixcvrt722muvMXXqVA4fPkzsKSoO1DRS3alTJ5lTLc5aZlkZ+a/9l7ylSzFr+M1NQN++3jB94YVomlbDEc7MidU8kjOKcbtNlNukUjt5jgaOFZc+TnigDdP0jkJvenQca3dnM3tlEm5DYdU1PKbCZtGYf+NgGZ0WQghRr1rcnOoqpmn6hGLwTv248sorTxmoARwOBw6H45T7CdHamU4nhStXkrvkJYy8PL92e7duxM6aReill9RLmIZjUz08hneVwqT0Au9S4UDt/1VWrdJyrA/Hj2prgM2iUeYxq+tHj+kdx3xZXEUIIUQz0qSh+pFHHmHChAl07tyZkpISVqxYwbp161i9enX1Pnv27OGbb77h008/bcKeCtFyKLebwlXvkbtoEZ7MTL92W6dOxN47k7DLL0ezWGo4wuk5cUT6rgvjeW51Kk6nQaBZFYwVhuZ94dDlk9sVmmaiqDq/b6i3WjTchsJu1XFY9BpfPJTFVYQQQjQnTRqqs7OzufXWW8nIyCA8PJyBAweyevVqLrnkkup9li5dSseOHbn00kubsKdCNH/KMCj+5BNynnse94EDfu3WNm2ImTGDiMnXoNlsdTrXU6uTeX7tnurvf9xXwD1786unQWuAB+/LhlXvI4JCVY9Ia36BWj9aDcRq0TivaxTD4qPYnJ4vI9FCCCFahGY3p7q+SZ1q0doppShZs4bchQtxpu7xa7dERRE9fRqRN9yAHhBQp3N9vjOTmSu2Ypj4TY62AFYFxtHa0s7jqnccG4jWsFk0TFNhqmNl9TTNu2BLpcuonjcthBBCNActdk61EOL0KKUo++47cubNp3LXLr92PTSU6Kl3EHXLLejBwbUe51TLhFdZve0If3xnO4b/4obAsRFpC0cD9XFB+njhgbbq6Rwuw8TpNquvx2Oq6nnTQgghREsioVqIFqh8yxay58+nInGrX5sWFETULbcQfcftWMLDT3qc42tIa8COQ4XMXpnE/BsGM6Z3HIbbZP/OPHZvyuDJPYdxWsxaj6U0RVyIwcxLevDnj/bhMZTPy4bVX2saVl1D18Bm0al0m6Cg1OnBbtFlwRYhhBAtkoRqIVqQip92kjNvHmXff+/XptntRN54A9HTp2ONjj7pcWpb4TDE4V2N8LnVKWhb89mzNRtnuXe1xfwwE1155z4fi9bHKndYdJ3HrxvGmF5xvL+jmKSDBTjdJgrfmSJVI9IDOkYw7cIEqeAhhBCiVZBQLUQLUJmSQu7ChZSs+dK/0Wol4ppriJlxN7Z27U55rNpWOESBx2lgug2SDxex6xff1RYjDZ0Mq4lVKVx61VZvIrdoMGts9+pAPH1UArNWJnlHoU9w/Ij0mF5SwUMIIUTrIKFaiGbMtX8/OQufo/iTT7xv9B1P0wi74nJi770Xe+fOp33M2lY41ACX08DQoI2h+3zGYtO5rH0wrxeUUOHRqk4PCnq3DeVPE3r7jDCP6R3HguPqSEcF2QHIL3fJiLQQQohWSUK1EM2QOyOD3BcWUbhqFTW9GRh6ySXEzroPR48e1dtO94XDtJxSdAUByjtKXVWlwwDKNW+47ujRAUWHXlH0Gt6WboNjsQda+c3u7NOeriF1pIUQQpxNJFQL0Yx4cnPJXbKEwjdWotxuv/bgCy8kdvZsAvv389m+dnc29x9dthtgS3o+Px0q5IWbhzKmdxymqTi8u4DkzZkEFLjItyjsyvsDwFDgqZpXDegofgx2c/X1Xbh6ZG+f80hQFkIIIWomoVqIZsAoKiLv5aXkv/YaqqLCrz3w3KHEzZlD0Lnn1vj5f36+mwqPz+uDVLhN/v7RLmw7i0jdkkV5kXeO9HlWGx8HubwrHFYHau/8Dw2IDHFQ5jR4f1ch142s90sVQgghWiUJ1UI0IaO0jILXXiVv6SuYJSV+7QH9+xM7ezbBF/wGTdP82o+v4lFNUV0aOj23nO1pB30+k+CxcHm5nXWBLvIsxxe981b1cBsKq66RllNaD1cohBBCnB0kVAvRBMzKSgreWEnekiUYBQV+7Y4ePYidPYuQsWNrDNPgX8UDqH7zUFP4lbID0HSN9r3D6NbXyaE9wZQdLvKr0FHmdGOzWGQRFiGEEOIMSKgWohEpl4vCVavIfWERnuxsv3Zb587E3ncfYRMnoFksJz3W4vVpuNwmDgUuTqgFffSf0YY3kLeJD6PnsLb0ODeOwFBvJY7HNn+JVdfRMH0+6zEhyK7JIixCCCHEGZBQLUQjUIZB0Ucfkfvc87gPHfJrt7ZtS8w9M4j47W/RbLbaj6MUWenFJG/MZOfefJSCqr2dxw1oa4AVxfh4nd9ePZD2HWL8jpUQE0LSwYJj+1s03IYiLMDK/BsHS8k7IYQQ4gxIqBaiASnTpOSLNeQsXIgrLc2v3RIdzc7r7+HhzHA8SXBuQWKNpfAKs8pJ3pxJyqZMinMrAYgM9i7Goo5W8eBoeTyLpujfNoQ54/swpnebWvt2/AItGmDRNQJtFgnUQgghxK+gKXXiihKtS3FxMeHh4RQVFREWFtbU3RFnCaUUZd98Q/b8+Th//sWvXQ8LI3rqVLafP4E57/1MSaUHDXDYdOwWnfk3DOb8DhHs3pxB0vdpVBzxP8deq8HHQS68MzxMdKuFgDMMxWvPoO60EEIIcTY63SwpoVqIela2aTM58+ZRkZTk16YHBRE55Vaib78dS1gYNy7ZSNLBApxuE02DqCAbJZUGEYC9UlFgUUQaOsOcVhI8vnOs2/cIZ387JxuKYV9+uYRiIYQQogGcbpaU6R9C1JOKHTvImTePsh82+LVpdjuRN91E9PRpWKOiqrfvzS3Fqut4MLGaiooSNwaQpYHVCrqCDKvJxxYXl5fbGRobRq/hbeg5rC2hUQEAzGmk6xNCCCFE7SRUC1FHlcnJ5MxfQOnXX/s3Wq1E/G4yMTNmYGvjO78591Ap0Uonr9KJXYGGhsK7GIsGR7d5K3m4LbCvZwBP3zes1hJ7QgghhGg6EqqF+JU++Wo7T61KpNgaSEdnTya3OcKwrN3eRl0n/IoriLl3JvZOnao/U1pQScqWLFI2ZZF3uJQ+VoO0IHBp3lFp82hetigwNROPphMZ4qDSbXCo1CmBWgghhGimJFQLcYbchw/zwfMreMwZjycwCotpkBzZmX8NvYk/bV3B2HO6EDvrPhzdugHgqvDwc+IhEr9NpfKAjsaxYFy1uuEWh4c8i0mMFQiyk1XhwekBTQOFwmMqWYxFCCGEaMYkVAtxmjw5OeS+uJjCt97i1WFT8URaCHJXeKdoGFDhCObT397LlDljMQyTPdsy2bD+ZwpTDHTDAlioaZz5/A4RTB4cyjkjEwgKs7N2d7a31J3HBAWlTg92iy6LsQghhBDNmIRqIU7BU1BA/ssvk//f11GV3hrRh0JisZgGGuCxWLGHhWJTOmnFJm8v/ZbM7WXoTu/KhTr+KyOGRgXQ8+gLh1Htgn3axvSOY8ENg6XUnRBCCNGCSKgWohZGaSn5y5aTv2wZZmmpT1vH0hySo7tQYrVh6lY0j0alx0OkWyf7iBsdO3utBpsdHgosJpGGzrmGxm/6hzBydD/adYtA02ufHz2md5zfAjBCCCGEaL4kVAtxArOigoIVK8h76T8YhYV+7Y5evbhjTF/+Z7cHl8fEYkKZ28Ci4Dyn9z8p34VZFNkBiq9sOlde0JP2PSIb9XqEEEII0fAkVAtxlHK5KHj7bfJeXIwnJ8ev3dI1gTVjp7EsR6N8h4tAUyMIjQpdEeXROe+4BVoSw90opWGYCk3TiAi0UeY0eOnbvTICLYQQQrRCEqrFWe3znZnMWrEV3e2iV1km1+z6gmHHBWqFRnHCMNIGjWNLeTSf5ZgYR8vfOS0Ki4LLy+0keCxEtAmi27AY+g7vwKtLvsfuNPC4PABomoZV10jLKa2tK0IIIYRowSRUi7PW179k8uAbieB2oxsGu4PaVpfF61tSREbXCzjYdiiYoVAAW4OdGNpxi7IocGvwS1sLD91yLrGdQ6vrSCfEhJB0sACljpbFU1IWTwghhGjNJFSLs45SitK161jw3h5cjhiCj5bFM02dclsgywZP4XeVYd6dzWOfK7CY6EcDtaEpggLtWJQiTzeJ6xLmc47poxK8ZfHcUhZPCCGEOBtIqBZnlbKNG/lg0VustHbhp5gENKVwWQPQNQum7v3PIccOVPp+TmmKOLuFw8qk3PDOkw6xanicZo2jz1IWTwghhDi7SKgWZ4XypCRy5i9gXXoh/xp6M26LFdAwNZ0yq4UABTreZcKjPHr15wLbapzzm3h6ndeOfplFzFqZhNPwnNbos5TFE0IIIc4eEqpFi/H5zkzue+NHDFNxbtcoZozudsrQWvnLL+TMm0/J+vWUhHbmv8On4LQGYEdDU+A8WiraqeFdokVBqa5YEF5Bvw7h3HdpT4YcPceYCBl9FkIIIUTNNKWUaupONKTi4mLCw8MpKioiLCzs1B8QTeZkoblq6e6SSg8a4LDp2C06828Y7BOsq46hPAYDzEImJn1JQWQPPu04gFyblfKjlTscR/f3AK6jwbpjgI0cw6DSY570HEIIIYQ4e5xultRrbRGiEa3dnc2D72zHbSiUgh2HCpm9Mom1u7MBWPLNXtyGN+xqGoQ4rLgNxUvf7vU9xltJKJcbq+FhpxbBP4dcx0sJgzlgt1Kmed879GjHRqjtFg27Vef8hCg6dggDjZOeQwghhBCiJjL9QzQLNYXmogo3dyzbgqaBRdew6BpHK9bh8phUuA1+SMvjusUbuL1fBAs/2kmlCsCuWdE0798Yy2taCVzzjlAbGjisGg6LzvSLuvHwuzuw6jouzVvyQ2pLCyGEEOJ0SagWzcLe3FKfQOsyTNzG0ZlJCjymqv5eA0oqPVQ1Ju3NZXtaHt71Db3tHPdPH8dttFo0hnSOrJ4XLbWlhRBCCPFryfQP0SwkxITgMU2qZviXu4zqNk2DUMexv/+po/9DKQJMDZvSMTQNhbd6R/VLApr3sxz/5yhdg6hgOyumnV/9ouH0UQnYLDoK78IupU4PNosmtaWFEEIIcUoyUi2axIkvJY7sFs3OI0XVi6V4jhuVBrDqYNUUpuldOhzAoY5W7MD78qEJGEC55h1qtlt0AnRwekzME17HtVp0vxFoqS0thBBCiF9LQrVodMe/lKjhfSlxd0YxUy+IZ3N6Pmk5pVS4DCrcBspQ2EyoLPWAptHR4x1JzrCa1b9mUYCBidJ1jo/iLsPkqgHtiY8JZuHXezCOJmu7RSfAWnN9aaktLYQQQohfQ6Z/iEZXWyWPzen5/OfWQbxwaUdui45G9yhQYChv2TuLgvOcVoY5rVgUuDExlBvTosCio+v+s6g/3pHBoI4R/OfWcxnZLZo2YQ7O7RrJ/BsHywi0EEIIIeqNjFSLRnfiS4kaoJTBtvRsXnjwCwJdoTiAy612tjg85FtMojw65zmt9Ckrpk3WFnoHVvLFOWM4oIfQLS6EnzOKKalw+53LML0l8VZMO19GoIUQQgjRYCRUi0ZXVWUDZWBFUVpi4kGnvcdGoMtxbD+PhQSPBYungricH2mTtZkYcoiZdieRN93ItMDA6n1vXLKRDXvz/M6la0hJPCGEEEI0OAnVolElZ6bSztzHVncwurKAAvdxUzuqaKZBVP7PtM3aTEzeT9iCHETdfhtRU6ZgCfEvcTd9VAKb0/MwTuOFRCGEEEKI+iahWjQ4w2Oyf2ceuzYcYu+ObLqpOK6wGn5TOxI8FsKK02mbuZm4nB+xu0vRAgOJmnob0VPvwBIRUes5xvSO476xPU77hUQhhBBCiPokoVqcthPL4M0Y3a3WecqFlYVs/ykFlRrOnq1ZOMu8i7VYsQHHpnYABFbk0CZrM22zthBUkQOAZrMR8fvfE3PXdKyxsafVvznjejKoY4SUxBNCCCFEo9OUUurUu7VcxcXFhIeHU1RURFhYWFN3p8V6anUyz6/d47PNosF9Y3swZ1xPACo8FazZsZ6k7/Zi3xtDWGVMrcez4STu8EbaZm0hrDj92LosFgvhv72a2Hvuwda+fQNdjRBCCCHE6TndLCkj1eKU1u7O5sV1e/y2GwoWfr0HTTtMWfpuXMlBxJZ0IobeNR7HYtFoq2cQlfQB0Xm70NWxVRPRNMImTiT2vnuxd+3aQFcihBBCCNEwJFSLarVN71jyzd4TXgA89o1hKt75tIIbynrVetx2XYNol59EyOqlWJ3+lThCxo4ldtYsAnr1rMerEUIIIYRoPE26+MuiRYsYOHAgYWFhhIWFMWLECD777DOffTZs2MDFF19McHAwYWFhjBo1ioqKiibqcet1/CqHSkHS/gJuX7aF+Ic/YfO+fO9OquqPVv1HUxoFFv8ZRJHtghh+WTsmdthG3xV3EfHhAr9AHTxyJF3fepNOzz8ngVoIIYQQLVqTjlR37NiRJ598kh49eqCUYvny5Vx11VUkJSXRr18/NmzYwPjx43nkkUdYuHAhVquV7du3o+uyEGR9Wrs7m9krkyip9L5MqADP0QoaCuWtpqH8VysE79/Kogzvv4+gcDs9z2tD9/6h8NlKCv73NSrLy/0+EzhkCLFzZhM8bFiDXI8QQgghRGNrdi8qRkVF8dRTTzF16lTOP/98LrnkEv73f//3Vx/vbH9RsbYpHVXbPYZC1zQMn8dAnfBlzYEavH8rm9mpDb+7OIF2newUvv46eUuXYhYX++0b0LevN0xfeCGaVvsxhRBCCCGai9PNks1myNcwDFauXElZWRkjRowgOzubTZs2ERcXx8iRI2nTpg2jR4/mu+++a+quthgnTunYcaiQ2SuTmPdlyrHtcFygPjq/4/gpHicJ1Gig23QGjm5H8JaP2Dt+PDnz5vkFanu3bnSYP5+u775DyKhREqiFEEII0eo0+YuKP/30EyNGjKCyspKQkBDee+89+vbty8aNGwH429/+xtNPP80555zDq6++ytixY9m5cyc9evSo8XhOpxOn01n9fXENI6ZniyXf7MVtmNWxuNJtUuk2WfhVKhZdR8M7vaNaLVM8anR0V4/HYOELHzB37UK/XWydOhF770zCLr8czWL51dchhBBCCNHcNXmo7tWrF9u2baOoqIh33nmHKVOmsH79ekzTBOCuu+7i9ttvB2Dw4MF89dVXLF26lLlz59Z4vLlz5/L44483Wv+bg9qmeOzNLcWq6zgxj4/OGAoMw6xxaocOmCeewC9re0ezNcBEccAe4dNqbdOGmBkziJh8DZrNVvcLFEIIIYRo5pp8+ofdbqd79+4MHTqUuXPnMmjQIObPn0+7du0A6Nu3r8/+ffr04cCBA7Ue75FHHqGoqKj6z8GDBxu0/03tqdXJ3P3frbgNhalg2wHvFI+1u7NJiAnBY1YF6uOmdlR9ewIN7wOhAXrVzA8NLMc/JaoqUHvHuDUFnUqyAbBERRH38EN0W/05kTdcL4FaCCGEEGeNJh+pPpFpmjidTrp27Ur79u1JTk72aU9JSWHChAm1ft7hcOBwOBq6m81CTYuyuAzvOPNL3+5l8rBwfjyYA2i+o9K1vJoaZNHpGRPMqP5tWPrDPkoqPWiAzaJjx8Tj8eDWLEcP4T2Ww3Rz7ZHNxM6ZTdQtt6AHB9f/hQohhBBCNHNNGqofeeQRJkyYQOfOnSkpKWHFihWsW7eO1atXo2kaDz74II899hiDBg3inHPOYfny5ezevZt33nmnKbvd6E5/URYvl2HwQ1ouqWkHGVwZQpLdxKnVPLVD07xROzTAyva/XVa9/ZzOkbz07V72HC6gQ+ERfvvjxygNlvWZwMHQNgB0KsthdmeTK95chCU8vMGuXwghhBCiuWvSUJ2dnc2tt95KRkYG4eHhDBw4kNWrV3PJJZcAMGfOHCorK7n//vvJz89n0KBBrFmzhm7dujVltxvV8RU8NI5V8Jh/w2D25pZi0TgarH1fONSAAoJIspsMdVrZ6vBgaMcKe6C8UzyiQuyUOQ36dfANxee7s+i28T+Uff+9z/ZhWbvR7HYib7yB6IenY42ObtgbIIQQQgjRAjS7OtX1raXXqb5xyUaSDhbgdJtoGoQ4rJQ6PVh0jUCbhZJKD6o6VB97ozBAeUemXRq09+j8xhLA9jDFIbebMreBRddwWHQ8psJm0Zh/42DG9IqjMiWFnAULKP3yK//OWK1EXHMNMTPuxnZ0zrsQQgghRGt2ulmy2c2pFr6qKni4NBOl8IZoFKYBHqMqUMPxgVoHLICGhlWH8jALf//zaPSjbxyu3Z3NS9/uJS2nlG6xIUwblcBvAio4/MCDFH/yCZz49yxNI+yKy4m9917snTs3xmULIYQQQrQoEqqboeNXO/Sp3AHVC7JYAKOWz5uAS4fwYCtlLpOe7cOqAzXAmN5xjOkdB4A7I4PcFxaStuo9MPyPGHrJJcTOug9HLXXBhRBCCCGEhOpm59gc6hNeKVS+1Q9tCowT60cf970HKHUZ2C0600Yl+J3Hk5tL7uIlFK5ciXK7/dqDL7yQ2NmzCezf71deiRBCCCHE2UNCdTPz5BeJlDndaOiokywT7jq+yXc6NRYNYkId1VM7xvSKq24ziorIe3kp+a+9hqqo8Dtu4LlDiZszh6Bzz623axJCCCGEaO0kVDexqqkepqHoFRbE/mKFblrxnGLFcPP49hP2nTWuB7PH9vTZZpSWkf/qcvJfWYZZUuJ3vID+/YmdPZvgC36Dpp3BcuVCCCGEEEJCdUOora50Fbfh5ocjP/Dyd5vZsrMfpkdhUZBSVI4Hah6cPmGbfvT7qGA7Lo9JqdNDiMPK1AvjfQK1WVlJwRsryVuyBKOgwO+wjh49iJ09i5CxYyVMCyGEEEL8ShKq61ltdaWfvX4Q4ZGHeOG779i0LRzDE4Uy++LRFA7lzcxKccoRavAG6ugQB5Uub2m8Hcct2lJFuVwUrlpF7guL8GRn+7XbunQm9t77CJs4Ac1iqfuFCyGEEEKcxSRU17Ml3+zFbZhoeFcrDLBBqdPF/W9+Ri9PCdvd3THR0NXRedGAG6oXZqltnvSJlFJ4TEW32BDf7YZB0Ucfkfvc87gPHfL7nLVtW2Jm3kPE1Vej2Wx1v2AhhBBCCCGhur5V1ZV26i40XJRXWNBMG6Y7jkyjLabVxH50ZNqDt/yduyo8n2Se9PGUglKnx6eyhzJNSr5YQ87ChbjS0vw+Y4mOJuau6URcfz26w1FPVyuEEEIIIUBCdb3rGhlE0sFCrIYVAyuuo9sjTI0Ci4mujuXlAItOuWnWdigfGhBg0+kaHUx+uau6ssdFPWMpXb+e7Pnzcf78i9/n9PBwoqdOJer3N6MHBdXLNQohhBBCCF8SquvZzed0ZGt6gd/c6EKLIsLQcFrBicLUICrISnmpy2e/ILuFcpf/Iiy924bypwm9fcrjlW3azP6b5lCRlOS3vx4UROSUW4m+/XYsLXB5diGEEEKIlkRCdT27ckRn/vHRz2QetzqhdnSCdWRcMJUllZRUetCOTuGwaGDRde88bM0bqj2GIsCmE2i31FhrumLHDnLmzaPshw1+59fsdiJvuono6dOwRkU1xiULIYQQQpz1JFQ3gFIdnzXEFeBWiuxSJwtuGMxL3+4lLaeUbrEhDIuPYul36Vh0DauuUeY0CLDpzL9xsE+QBqhMTiZn/gJKv/7a/6RWKxG/m0zMjBnY2rRp0OsTQgghhBC+JFQ3AN2qed9CPIGpFGN6x/nUrAYY1DHCJ2ifODLtTE8nd+FzFH/2mfctRZ+T6YRfcQUx987E3qlTQ1yOEEIIIYQ4BQnVDUCvpXJHbdtrCtoA7sOHyXnhBYre/wAM/3nWoZddRuys+3B061aX7gohhBBCiDqSUN0A+rQLJ3F/Pm7DO6pss2hoaPRtH35an/fk5JD74mIK33oL5Xb7tQePHkXc7NkE9O1br/0WQgghhBC/joTqBjB9VAK7VhZh1RVWXcNjKmwWrbqmdG08BQXkv/wy+f99HVVZ6dceNGwYsXPmEDRkcEN1XQghhBBC/AoSqhvAmN5xzD/hhcQT50kfzygtJX/ZcvKXLcMsLfVrDxg4kLg5swkaMQJNO411zIUQQgghRKOSUN1AapsnfTyzooKCFSvIe+k/GIWFfu2OXr2InT2LkDFjJEwLIYQQQjRjEqqbgHK5KHj7bfJeXIwnJ8ev3d6lCzGz7iNswgQ0XW+CHgohhBBCiDMhoboRKY+Hog8+JPf553EfOeLXbm3fjtiZMwm/6io0q/yrEUIIIYRoKSS5NQJlmpR8/jk5C5/DlZ7u126JjSHmrruJuO5adLu9CXoohBBCCCHqQkJ1A1JKUbp2HTkLFuDcvduv3RIeTvS0O4m8+Wb0wMAm6KEQQgghhKgPEqobSNmGDeTMm0/F9u1+bXpwMFG33UbUbVOwhIY2Qe+EEEIIIUR9klBdz5x79pD5v/9H+aZNfm1aQACRN99E9J13Yo2MbILeCSGEEEKIhiChup5pNhvliYm+G202Iq+9lui778IWd/Iye0IIIYQQouWRUF3P7F26EHHNbyl8+x3QdcKvvpqYe+7B3rFDU3dNCCGEEEI0EAnVDSBmxgzMikpi7rkHR0J8U3dHCCGEEEI0MAnVDcDWvj0dnn6qqbshhBBCCCEaiSzXJ4QQQgghRB1JqBZCCCGEEKKOJFQLIYQQQghRRxKqhRBCCCGEqCMJ1UIIIYQQQtSRhGohhBBCCCHqSEK1EEIIIYQQdSShWgghhBBCiDqSUC2EEEIIIUQdSagWQgghhBCijiRUCyGEEEIIUUcSqoUQQgghhKgjCdVCCCGEEELUkYRqIYQQQggh6sja1B1oaEopAIqLi5u4J0IIIYQQoqWpypBVmbI2rT5Ul5SUANCpU6cm7okQQgghhGipSkpKCA8Pr7VdU6eK3S2caZocOXKE0NBQNE1r6u60aMXFxXTq1ImDBw8SFhbW1N1pteQ+Nzy5x41D7nPDk3vcOOQ+N7zmfI+VUpSUlNC+fXt0vfaZ061+pFrXdTp27NjU3WhVwsLCmt0D3xrJfW54co8bh9znhif3uHHIfW54zfUen2yEuoq8qCiEEEIIIUQdSagWQgghhBCijiRUi9PmcDh47LHHcDgcTd2VVk3uc8OTe9w45D43PLnHjUPuc8NrDfe41b+oKIQQQgghREOTkWohhBBCCCHqSEK1EEIIIYQQdSShWgghhBBCiDqSUH0Wef755+natSsBAQEMHz6czZs3n3T/t99+m969exMQEMCAAQP49NNPq9vcbjcPPfQQAwYMIDg4mPbt23Prrbdy5MgRn2N07doVTdN8/jz55JMNcn3NRX3eZ4DbbrvN7x6OHz/eZ5/8/HxuvvlmwsLCiIiIYOrUqZSWltb7tTUX9X2PT7y/VX+eeuqp6n3kWT75fd61axeTJ0+uvk/z5s37VcesrKxk5syZREdHExISwuTJk8nKyqrPy2pW6vsez507l/POO4/Q0FDi4uK4+uqrSU5O9tnnoosu8nuW77777vq+tGalvu/z3/72N7972Lt3b5995Fmu2z2u6WeupmnMnDmzep9m9ywrcVZYuXKlstvtaunSpWrXrl1q2rRpKiIiQmVlZdW4//fff68sFov617/+pX7++Wf15z//WdlsNvXTTz8ppZQqLCxU48aNU2+++abavXu32rBhgxo2bJgaOnSoz3G6dOminnjiCZWRkVH9p7S0tMGvt6nU931WSqkpU6ao8ePH+9zD/Px8n+OMHz9eDRo0SG3cuFF9++23qnv37urGG29s0GttKg1xj4+/txkZGWrp0qVK0zSVlpZWvY88yye/z5s3b1YPPPCAeuONN1Tbtm3Vs88++6uOeffdd6tOnTqpr776SiUmJqrzzz9fjRw5sqEus0k1xD2+7LLL1CuvvKJ27typtm3bpiZOnKg6d+7s86yOHj1aTZs2zedZLioqaqjLbHINcZ8fe+wx1a9fP597mJOT47OPPMt1u8fZ2dk+93fNmjUKUGvXrq3ep7k9yxKqzxLDhg1TM2fOrP7eMAzVvn17NXfu3Br3v+6669SkSZN8tg0fPlzdddddtZ5j8+bNClD79++v3talS5ca/2NprRriPk+ZMkVdddVVtZ7z559/VoDasmVL9bbPPvtMaZqmDh8+/CuvpPlqjGf5qquuUhdffLHPNnmWT36fj1fbvTrVMQsLC5XNZlNvv/129T6//PKLAtSGDRvqcDXNU0Pc4xNlZ2crQK1fv7562+jRo9Xs2bN/TZdbpIa4z4899pgaNGhQrZ+TZ7n+n+XZs2erbt26KdM0q7c1t2dZpn+cBVwuF1u3bmXcuHHV23RdZ9y4cWzYsKHGz2zYsMFnf4DLLrus1v0BioqK0DSNiIgIn+1PPvkk0dHRDB48mKeeegqPx/PrL6YZa8j7vG7dOuLi4ujVqxczZswgLy/P5xgRERGce+651dvGjRuHruts2rSpPi6t2WiMZzkrK4tPPvmEqVOn+rXJs1z7fa6PY27duhW32+2zT+/evencufOvPm9z1RD3uCZFRUUAREVF+Wx//fXXiYmJoX///jzyyCOUl5fX2zmbk4a8z6mpqbRv356EhARuvvlmDhw4UN0mz3L9Pssul4v//ve/3HHHHWia5tPWnJ5la5OdWTSa3NxcDMOgTZs2PtvbtGnD7t27a/xMZmZmjftnZmbWuH9lZSUPPfQQN954I2FhYdXbZ82axZAhQ4iKiuKHH37gkUceISMjg3//+991vKrmp6Hu8/jx47nmmmuIj48nLS2NRx99lAkTJrBhwwYsFguZmZnExcX5HMNqtRIVFVXrv6+WqjGe5eXLlxMaGso111zjs12e5ZPf5/o4ZmZmJna73e8v5if799VSNcQ9PpFpmsyZM4ff/OY39O/fv3r7TTfdRJcuXWjfvj07duzgoYceIjk5mVWrVtXLeZuThrrPw4cPZ9myZfTq1YuMjAwef/xxLrzwQnbu3EloaKg8y9Tvs/z+++9TWFjIbbfd5rO9uT3LEqpFnbndbq677jqUUixatMin7Q9/+EP11wMHDsRut3PXXXcxd+7cFr1qUmO64YYbqr8eMGAAAwcOpFu3bqxbt46xY8c2Yc9ap6VLl3LzzTcTEBDgs12eZdHSzJw5k507d/Ldd9/5bJ8+fXr11wMGDKBdu3aMHTuWtLQ0unXr1tjdbJEmTJhQ/fXAgQMZPnw4Xbp04a233qrxt1yibl5++WUmTJhA+/btfbY3t2dZpn+cBWJiYrBYLH5vHWdlZdG2bdsaP9O2bdvT2r8qUO/fv581a9b4jFLXZPjw4Xg8Hvbt23fmF9LMNeR9Pl5CQgIxMTHs2bOn+hjZ2dk++3g8HvLz8096nJaooe/xt99+S3JyMnfeeecp+yLPcv0fs23btrhcLgoLC+vtvM1VQ9zj49177718/PHHrF27lo4dO5503+HDhwNU/0xpTRr6PleJiIigZ8+ePj+X5Vmun2vdv38/X3755Wn/XIame5YlVJ8F7HY7Q4cO5auvvqreZpomX331FSNGjKjxMyNGjPDZH2DNmjU++1cF6tTUVL788kuio6NP2Zdt27ah67rfdIXWoKHu84kOHTpEXl4e7dq1qz5GYWEhW7durd7n66+/xjTN6h8wrUVD3+OXX36ZoUOHMmjQoFP2RZ7l+j/m0KFDsdlsPvskJydz4MCBX33e5qoh7jGAUop7772X9957j6+//pr4+PhTfmbbtm0A1T9TWpOGus8nKi0tJS0trfoeyrNcf/f4lVdeIS4ujkmTJp1y3yZ/lpv6TUnROFauXKkcDodatmyZ+vnnn9X06dNVRESEyszMVEopdcstt6iHH364ev/vv/9eWa1W9fTTT6tffvlFPfbYYz5lyFwul7ryyitVx44d1bZt23zK2TidTqWUUj/88IN69tln1bZt21RaWpr673//q2JjY9Wtt97a+DegkdT3fS4pKVEPPPCA2rBhg0pPT1dffvmlGjJkiOrRo4eqrKysPs748ePV4MGD1aZNm9R3332nevTo0apL6tXnPa5SVFSkgoKC1KJFi/zOKc/yqe+z0+lUSUlJKikpSbVr10498MADKikpSaWmpp72MZXyliHr3Lmz+vrrr1ViYqIaMWKEGjFiRONdeCNqiHs8Y8YMFR4ertatW+fzc7m8vFwppdSePXvUE088oRITE1V6err64IMPVEJCgho1alTjXnwjaoj7/Mc//lGtW7dOpaenq++//16NGzdOxcTEqOzs7Op95Fmu2z1WyltFpHPnzuqhhx7yO2dzfJYlVJ9FFi5cqDp37qzsdrsaNmyY2rhxY3Xb6NGj1ZQpU3z2f+utt1TPnj2V3W5X/fr1U5988kl1W3p6ugJq/FNVQ3Lr1q1q+PDhKjw8XAUEBKg+ffqof/zjHz5hsDWqz/tcXl6uLr30UhUbG6tsNpvq0qWLmjZtmk8IUUqpvLw8deONN6qQkBAVFhambr/9dlVSUtKg19mU6vMeV1m8eLEKDAxUhYWFfm3yLJ/6Ptf2M2H06NGnfUyllKqoqFD33HOPioyMVEFBQeq3v/2tysjIaMjLbFL1fY9r+7n8yiuvKKWUOnDggBo1apSKiopSDodDde/eXT344IOtuk61UvV/n6+//nrVrl07ZbfbVYcOHdT111+v9uzZ43NOeZbr/vNi9erVClDJycl+52uOz7KmlFINPhwuhBBCCCFEKyZzqoUQQgghhKgjCdVCCCGEEELUkYRqIYQQQggh6khCtRBCCCGEEHUkoVoIIYQQQog6klAthBBCCCFEHUmoFkIIIYQQoo4kVAshhBBCCFFHEqqFEOIssW7dOjRNo7CwsF72/dvf/sY555zjt61NmzZomsb7779fp/4KIURLIqFaCCGaodtuuw1N09A0DZvNRnx8PH/605+orKxs6q5Ve+CBB/jqq6+qv//ll194/PHHWbx4MRkZGUyYMIGuXbsyb968puukEEI0EmtTd0AIIUTNxo8fzyuvvILb7Wbr1q1MmTIFTdP45z//2dRdAyAkJISQkJDq79PS0gC46qqr0DStqbolhBBNQkaqhRCimXI4HLRt25ZOnTpx9dVXM27cONasWQOAaZrMnTuX+Ph4AgMDGTRoEO+8847P5z/99FN69uxJYGAgY8aMYd++fT7t+/fv54orriAyMpLg4GD69evHp59+6rPP1q1bOffccwkKCmLkyJEkJydXtx0//eNvf/sbV1xxBQC6rqNpGhdddBH79+/n/vvvrx51F0KI1kpCtRBCtAA7d+7khx9+wG63AzB37lxeffVVXnzxRXbt2sX999/P73//e9avXw/AwYMHueaaa7jiiivYtm0bd955Jw8//LDPMWfOnInT6eSbb77hp59+4p///KfPyDPA//zP//DMM8+QmJiI1WrljjvuqLF/DzzwAK+88goAGRkZZGRksGrVKjp27MgTTzxRvU0IIVormf4hhBDN1Mcff0xISAgejwen04mu6zz33HM4nU7+8Y9/8OWXXzJixAgAEhIS+O6771i8eDGjR49m0aJFdOvWjWeeeQaAXr16VQfnKgcOHGDy5MkMGDCg+hgn+vvf/87o0aMBePjhh5k0aRKVlZUEBAT47BcSEkJERAQAbdu2rd5usVgIDQ312SaEEK2RhGohhGimxowZw6JFiygrK+PZZ5/FarUyefJkdu3aRXl5OZdcconP/i6Xi8GDBwPelwaHDx/u014VwKvMmjWLGTNm8MUXXzBu3DgmT57MwIEDffY5/vt27doBkJ2dTefOnevtOoUQojWQUC2EEM1UcHAw3bt3B2Dp0qUMGjSIl19+mf79+wPwySef0KFDB5/POByO0z7+nXfeyWWXXcYnn3zCF198wdy5c3nmmWe47777qvex2WzVX1fNiTZN81dfkxBCtFYyp1oIIVoAXdd59NFH+fOf/0zfvn1xOBwcOHCA7t27+/zp1KkTAH369GHz5s0+x9i4caPfcTt16sTdd9/NqlWr+OMf/8hLL71Ur/222+0YhlGvxxRCiOZIQrUQQrQQ1157LRaLhcWLF/PAAw9w//33s3z5ctLS0vjxxx9ZuHAhy5cvB+Duu+8mNTWVBx98kOTkZFasWMGyZct8jjdnzhxWr15Neno6P/74I2vXrqVPnz712ueuXbvyzTffcPjwYXJzc+v12EII0ZzI9A8hhGghrFYr9957L//6179IT08nNjaWuXPnsnfvXiIiIhgyZAiPPvooAJ07d+bdd9/l/vvvZ+HChQwbNox//OMfPtU7DMNg5syZHDp0iLCwMMaPH8+zzz5br31+4oknuOuuu+jWrRtOpxOlVL0eXwghmgtNyU84IYQQQggh6kSmfwghhBBCCFFHEqqFEEIIIYSoIwnVQgghhBBC1JGEaiGEEEIIIepIQrUQQgghhBB1JKFaCCGEEEKIOpJQLYQQQgghRB1JqBZCCCGEEKKOJFQLIYQQQghRRxKqhRBCCCGEqCMJ1UIIIYQQQtSRhGohhBBCCCHq6P8BEt4y3ybezjIAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8.5,5.2))\n", "ax.errorbar(x_precise, mu_precise, yerr=sigma_precise, fmt='o', ms=4, alpha=0.9, label=\"precise low-z data\")\n", "ax.errorbar(x_noisy, mu_noisy, yerr=sigma_noisy, fmt='o', ms=4, alpha=0.7, label=\"noisy high-z data\")\n", "ax.plot(xg[:,0], mu_true_grid, linestyle=\"--\", linewidth=2, label=\"true relation\")\n", "ax.plot(xg[:,0], mu_unw, linewidth=2.5, label=\"unweighted fit\")\n", "ax.plot(xg[:,0], mu_w, linewidth=2.5, label=\"weighted fit\")\n", "ax.set_xlabel(\"Redshift\")\n", "ax.set_ylabel(\"Distance modulus\")\n", "ax.set_title(\"Heteroscedastic regression: unweighted vs weighted\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f2ed28ec", "metadata": {}, "source": [ "### Interpretation\n", "This setup makes the distinction much clearer: the unweighted fit pays too much attention to the large-error, biased high-redshift points, while the weighted fit is anchored by the precise measurements and stays much closer to the true relation." ] }, { "cell_type": "markdown", "id": "91c0dd72", "metadata": {}, "source": [ "## 4. Robust regression with outliers\n", "\n", "### Problem\n", "Survey light curves often contain a few bad points due to weather, cosmic rays, blending, or reduction failures.\n", "\n", "In this exercise, the underlying trend is mild, but the outliers are strong enough to bias ordinary least squares.\n", "\n", "1. Fit ordinary least squares.\n", "2. Fit a robust model using Huber regression.\n", "3. Compare the inferred slopes.\n", "4. Compare the residual scatter after excluding the most extreme points.\n", "5. Explain why the robust fit is preferable here." ] }, { "cell_type": "code", "execution_count": 8, "id": "3e18b917", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True slope: 0.0045 intercept: 18.3\n", "OLS slope: 0.006712184062293041 intercept: 18.1092173050056\n", "Huber slope: 0.004725619648805134 intercept: 18.274297503798653\n", "Core RMS about OLS fit: 0.16066173835626532\n", "Core RMS about Huber fit: 0.07207478600921226\n" ] } ], "source": [ "n = 130\n", "t = np.linspace(0, 220, n)\n", "y_true = 18.3 + 0.0045*t\n", "y = y_true + rng.normal(0, 0.08, n)\n", "\n", "idx_hi = rng.choice(np.arange(n//2, n), size=7, replace=False)\n", "idx_lo = rng.choice(np.arange(0, n//2), size=4, replace=False)\n", "idx = np.concatenate([idx_hi, idx_lo])\n", "\n", "y[idx_hi] += rng.normal(1.8, 0.35, len(idx_hi))\n", "y[idx_lo] -= rng.normal(1.4, 0.30, len(idx_lo))\n", "\n", "X = t.reshape(-1,1)\n", "\n", "ols = LinearRegression().fit(X, y)\n", "huber = HuberRegressor(epsilon=1.2).fit(X, y)\n", "\n", "y_ols = ols.predict(X)\n", "y_huber = huber.predict(X)\n", "\n", "core = np.abs(y - y_true) < 0.35\n", "rms_ols_core = np.sqrt(np.mean((y[core] - y_ols[core])**2))\n", "rms_huber_core = np.sqrt(np.mean((y[core] - y_huber[core])**2))\n", "\n", "print(\"True slope:\", 0.0045, \"intercept:\", 18.3)\n", "print(\"OLS slope:\", ols.coef_[0], \"intercept:\", ols.intercept_)\n", "print(\"Huber slope:\", huber.coef_[0], \"intercept:\", huber.intercept_)\n", "print(\"Core RMS about OLS fit:\", rms_ols_core)\n", "print(\"Core RMS about Huber fit:\", rms_huber_core)" ] }, { "cell_type": "code", "execution_count": 9, "id": "73d99672", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "ax.scatter(t, y, s=25, alpha=0.8, label=\"observed data\")\n", "ax.scatter(t[idx], y[idx], s=35, label=\"injected outliers\")\n", "ax.plot(t, y_true, linewidth=2, label=\"true trend\")\n", "ax.plot(t, y_ols, linewidth=2, label=\"OLS fit\")\n", "ax.plot(t, y_huber, linewidth=2, label=\"Huber fit\")\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Magnitude or flux-like quantity\")\n", "ax.set_title(\"Robust regression with outliers\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "97671fe2", "metadata": {}, "source": [ "### Interpretation\n", "The outliers were placed so that ordinary least squares is visibly biased, especially in the slope. The Huber fit stays closer to the underlying trend." ] }, { "cell_type": "markdown", "id": "6c04389b", "metadata": {}, "source": [ "## 5. Gaussian-process regression for an irregularly sampled light curve\n", "\n", "### Problem\n", "Irregular sampling is common in time-domain astronomy.\n", "\n", "Simulate a stochastic, smooth light curve sampled at irregular times with measurement uncertainties.\n", "\n", "1. Fit a Gaussian process.\n", "2. Plot the predictive mean and uncertainty band.\n", "3. Identify the learned amplitude and characteristic timescale from the kernel.\n", "4. Compare the GP to a cubic polynomial fit on the same data.\n", "5. Estimate the predictive uncertainty near the center of the time series and near a gap or edge.\n", "6. Briefly explain why a GP is often preferable for interpolation of irregular astronomical light curves." ] }, { "cell_type": "code", "execution_count": 10, "id": "94e52ada", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Learned kernel:\n", "1.65**2 * RBF(length_scale=17.3) + WhiteKernel(noise_level=0.00771)\n", "\n", "Approximate learned amplitude: 1.645\n", "Approximate learned timescale: 17.266\n", "Additional white-noise term: 0.00771\n", "\n", "Predictive sigma near dense region (t~30): 0.0522\n", "Predictive sigma in central gap (t~50): 0.0658\n", "Predictive sigma near edge (t~98): 0.0604\n" ] } ], "source": [ "n = 85\n", "t_left = np.sort(rng.uniform(0, 42, n//2))\n", "t_right = np.sort(rng.uniform(58, 100, n - n//2))\n", "t = np.sort(np.concatenate([t_left, t_right]))\n", "\n", "signal = 0.65*np.sin(t/8.0) + 0.28*np.cos(t/17.5)\n", "err = rng.uniform(0.04, 0.11, n)\n", "y = signal + rng.normal(0, err)\n", "\n", "X = t.reshape(-1,1)\n", "\n", "kernel = (\n", " C(1.0, (1e-3, 1e3)) * RBF(length_scale=10.0, length_scale_bounds=(1e-1, 1e2))\n", " + WhiteKernel(noise_level=0.01, noise_level_bounds=(1e-6, 1))\n", ")\n", "\n", "gp = GaussianProcessRegressor(\n", " kernel=kernel,\n", " alpha=err**2,\n", " normalize_y=True,\n", " n_restarts_optimizer=5,\n", " random_state=0\n", ")\n", "gp.fit(X, y)\n", "\n", "poly3 = make_pipeline(PolynomialFeatures(3), LinearRegression())\n", "poly3.fit(X, y)\n", "\n", "t_pred = np.linspace(0, 100, 600)\n", "X_pred = t_pred.reshape(-1,1)\n", "mu, std = gp.predict(X_pred, return_std=True)\n", "poly_pred = poly3.predict(X_pred)\n", "\n", "print(\"Learned kernel:\")\n", "print(gp.kernel_)\n", "\n", "try:\n", " amp = np.sqrt(gp.kernel_.k1.k1.constant_value)\n", " ell = gp.kernel_.k1.k2.length_scale\n", " noise = gp.kernel_.k2.noise_level\n", " print(f\"\\nApproximate learned amplitude: {amp:.3f}\")\n", " print(f\"Approximate learned timescale: {ell:.3f}\")\n", " print(f\"Additional white-noise term: {noise:.5f}\")\n", "except Exception as e:\n", " print(\"\\nCould not parse kernel hyperparameters automatically:\", e)\n", "\n", "dense_idx = np.argmin(np.abs(t_pred - 30.0))\n", "gap_idx = np.argmin(np.abs(t_pred - 50.0))\n", "edge_idx = np.argmin(np.abs(t_pred - 98.0))\n", "\n", "print(f\"\\nPredictive sigma near dense region (t~30): {std[dense_idx]:.4f}\")\n", "print(f\"Predictive sigma in central gap (t~50): {std[gap_idx]:.4f}\")\n", "print(f\"Predictive sigma near edge (t~98): {std[edge_idx]:.4f}\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "7fc6e98a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9,5))\n", "ax.errorbar(t, y, yerr=err, fmt='o', ms=4, alpha=0.8, label=\"observations\")\n", "ax.plot(t_pred, mu, linewidth=2, label=\"GP predictive mean\")\n", "ax.fill_between(t_pred, mu-std, mu+std, alpha=0.3, label=r\"GP $1\\sigma$\")\n", "ax.plot(t_pred, poly_pred, linewidth=2, label=\"cubic polynomial fit\")\n", "ax.axvspan(42, 58, alpha=0.15, label=\"sampling gap\")\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Flux\")\n", "ax.set_title(\"Gaussian-process regression on an irregular light curve\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "aa556555", "metadata": {}, "source": [ "### Interpretation\n", "A GP gives a distribution over possible functions, not just a single best-fit curve. The uncertainty grows in the sampling gap and near the edges, which is one of the main reasons GPs are so useful for astronomical interpolation." ] }, { "cell_type": "markdown", "id": "a57144a3", "metadata": {}, "source": [ "## 6. Gaussian-process model comparison: periodic vs. non-periodic kernels\n", "\n", "### Problem\n", "Different kernels encode different physical assumptions. In this exercise we simulate a periodic variable-star light curve and ask whether a periodic kernel outperforms a smooth but non-periodic kernel.\n", "\n", "1. Simulate a noisy, irregularly sampled periodic light curve.\n", "2. Fit one GP with an RBF kernel.\n", "3. Fit another GP with a periodic kernel.\n", "4. Compare the two models visually and via test-set MSE.\n", "5. Which kernel better captures the physics of the source?" ] }, { "cell_type": "markdown", "id": "1b630d8b", "metadata": {}, "source": [ "## 6. Gaussian-process model comparison: periodic vs. non-periodic kernels\n", "\n", "### Problem\n", "Different kernels encode different physical assumptions. In this exercise we simulate a clearly periodic variable-star light curve and compare a smooth non-periodic kernel to a periodic kernel.\n", "\n", "To make the distinction visible, we use a **blocked train/test split**:\n", "- train on the earlier part of the light curve,\n", "- test on the later part.\n", "\n", "This turns the problem into a mild extrapolation task, where the difference between “smooth” and “repeating” should matter much more.\n", "\n", "1. Simulate a noisy, irregularly sampled periodic light curve.\n", "2. Fit one GP with an RBF kernel.\n", "3. Fit another GP with a periodic kernel.\n", "4. Compare the two models visually and via test-set MSE.\n", "5. Inspect the learned period from the periodic kernel.\n", "6. Which kernel better captures the physics of the source?" ] }, { "cell_type": "code", "execution_count": 12, "id": "207f0223", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/lib/python3.11/site-packages/sklearn/gaussian_process/kernels.py:440: ConvergenceWarning: The optimal value found for dimension 0 of parameter k2__noise_level is close to the specified lower bound 1e-06. Decreasing the bound and calling fit again may find a better value.\n", " warnings.warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "True period: 7.4\n", "RBF-kernel test MSE: 0.5441630324946197\n", "Periodic-kernel test MSE: 0.004023233396336823\n", "\n", "Learned RBF kernel:\n", "1.15**2 * RBF(length_scale=1.59) + WhiteKernel(noise_level=1e-06)\n", "\n", "Learned periodic kernel:\n", "2.76**2 * ExpSineSquared(length_scale=3.14, periodicity=7.4) + WhiteKernel(noise_level=0.000458)\n", "\n", "Learned period from periodic kernel: 7.3979\n" ] } ], "source": [ "# Simulate a clearly periodic light curve\n", "n = 140\n", "t = np.sort(rng.uniform(0, 100, n))\n", "period_true = 7.4\n", "\n", "signal = 1.05*np.sin(2*np.pi*t/period_true) + 0.18*np.cos(4*np.pi*t/period_true)\n", "err = rng.uniform(0.04, 0.08, n)\n", "y = signal + rng.normal(0, err)\n", "\n", "X = t.reshape(-1,1)\n", "\n", "# Blocked split: train early, test late\n", "train_mask = t < 60\n", "test_mask = t >= 60\n", "\n", "X_train, y_train, err_train = X[train_mask], y[train_mask], err[train_mask]\n", "X_test, y_test, err_test = X[test_mask], y[test_mask], err[test_mask]\n", "\n", "kernel_rbf = (\n", " C(1.0, (1e-3, 1e3))\n", " * RBF(length_scale=8.0, length_scale_bounds=(1e-1, 1e2))\n", " + WhiteKernel(0.01, (1e-6, 1))\n", ")\n", "\n", "kernel_per = (\n", " C(1.0, (1e-3, 1e3))\n", " * ExpSineSquared(\n", " length_scale=8.0,\n", " periodicity=7.4,\n", " length_scale_bounds=(1e-1, 1e2),\n", " periodicity_bounds=(6.8, 8.0)\n", " )\n", " + WhiteKernel(0.01, (1e-6, 1))\n", ")\n", "\n", "gp_rbf = GaussianProcessRegressor(\n", " kernel=kernel_rbf,\n", " alpha=err_train**2,\n", " normalize_y=True,\n", " n_restarts_optimizer=12,\n", " random_state=0\n", ")\n", "gp_per = GaussianProcessRegressor(\n", " kernel=kernel_per,\n", " alpha=err_train**2,\n", " normalize_y=True,\n", " n_restarts_optimizer=12,\n", " random_state=0\n", ")\n", "\n", "gp_rbf.fit(X_train, y_train)\n", "gp_per.fit(X_train, y_train)\n", "\n", "pred_rbf = gp_rbf.predict(X_test)\n", "pred_per = gp_per.predict(X_test)\n", "\n", "print(\"True period:\", period_true)\n", "print(\"RBF-kernel test MSE:\", mean_squared_error(y_test, pred_rbf))\n", "print(\"Periodic-kernel test MSE:\", mean_squared_error(y_test, pred_per))\n", "print(\"\\nLearned RBF kernel:\")\n", "print(gp_rbf.kernel_)\n", "print(\"\\nLearned periodic kernel:\")\n", "print(gp_per.kernel_)\n", "\n", "try:\n", " learned_period = gp_per.kernel_.k1.k2.periodicity\n", " print(f\"\\nLearned period from periodic kernel: {learned_period:.4f}\")\n", "except Exception as e:\n", " print(\"\\nCould not parse learned period automatically:\", e)" ] }, { "cell_type": "code", "execution_count": 13, "id": "931d2837", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_grid = np.linspace(0, 100, 900).reshape(-1,1)\n", "mu_rbf, std_rbf = gp_rbf.predict(t_grid, return_std=True)\n", "mu_per, std_per = gp_per.predict(t_grid, return_std=True)\n", "\n", "fig, ax = plt.subplots(figsize=(9,5))\n", "ax.errorbar(X_train[:,0], y_train, yerr=err_train, fmt='o', ms=4, alpha=0.75, label=\"training data\")\n", "ax.errorbar(X_test[:,0], y_test, yerr=err_test, fmt='o', ms=4, alpha=0.75, label=\"test data\")\n", "ax.plot(t_grid[:,0], mu_rbf, linewidth=2, label=\"RBF GP mean\")\n", "ax.fill_between(t_grid[:,0], mu_rbf-std_rbf, mu_rbf+std_rbf, alpha=0.2)\n", "ax.plot(t_grid[:,0], mu_per, linewidth=2, label=\"Periodic GP mean\")\n", "ax.fill_between(t_grid[:,0], mu_per-std_per, mu_per+std_per, alpha=0.2)\n", "ax.axvline(60, linestyle=\"--\", label=\"train/test boundary\")\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Flux\")\n", "ax.set_title(\"Periodic vs non-periodic GP kernels: extrapolation test\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9cd63d4b", "metadata": {}, "source": [ "### Interpretation\n", "With a random train/test split, both kernels can look quite similar because both are only interpolating between nearby observations.\n", "\n", "In this blocked split, the task is harder: the models must predict later behavior from earlier data.\n", "\n", "Students should notice:\n", "- the periodic kernel is better matched to the repeating physics of the source,\n", "- the RBF kernel can fit the training region well but is less well suited to repeated extrapolation,\n", "- kernel assumptions matter most in gaps, edges, and extrapolation, not only in easy interpolation." ] }, { "cell_type": "code", "execution_count": null, "id": "de0b8f8c", "metadata": {}, "outputs": [], "source": [ "n = 500\n", "label = rng.integers(0, 2, size=n) # 0 = star, 1 = galaxy\n", "\n", "concentration = np.where(label==0, rng.normal(0.10, 0.05, n), rng.normal(0.38, 0.10, n))\n", "color = np.where(label==0, rng.normal(0.5, 0.2, n), rng.normal(1.1, 0.3, n))\n", "sb = np.where(label==0, rng.normal(21.0, 0.6, n), rng.normal(22.3, 0.8, n))\n", "\n", "X = np.column_stack([concentration, color, sb])\n", "y = label\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=1)\n", "\n", "clf = make_pipeline(StandardScaler(), LogisticRegression(max_iter=2000))\n", "clf.fit(X_train, y_train)\n", "pred = clf.predict(X_test)\n", "\n", "print(\"Accuracy:\", accuracy_score(y_test, pred))\n", "print(\"\\nConfusion matrix:\\n\", confusion_matrix(y_test, pred))\n", "print(\"\\nClassification report:\\n\", classification_report(y_test, pred))" ] }, { "cell_type": "markdown", "id": "dbf4cef4", "metadata": {}, "source": [ "### Interpretation\n", "This optional problem gives a clean bridge from regression to classification." ] }, { "cell_type": "markdown", "id": "7ba0983b", "metadata": {}, "source": [ "## Suggested student questions\n", "\n", "1. Why does adding more predictors sometimes help, and when can it hurt? \n", "2. Why is the linear model visibly inadequate in the polynomial-regression exercise? \n", "3. Why does the weighted fit resist the noisy biased points in the heteroscedastic exercise? \n", "4. Why is a robust fit sometimes preferable to ordinary least squares? \n", "5. In the first GP problem, what do the kernel amplitude and length scale mean physically? \n", "6. Why does the GP uncertainty grow in the observing gap? \n", "7. In the second GP problem, why is the periodic kernel the better scientific choice?" ] }, { "cell_type": "markdown", "id": "bc10d1af", "metadata": {}, "source": [ "## Extension ideas\n", "\n", "For a more advanced version of this notebook, you could replace the synthetic data with:\n", "- SDSS-like colors and spectroscopic redshifts,\n", "- Gaia stellar colors and temperatures,\n", "- Type Ia supernova distance moduli,\n", "- ZTF or ASAS-SN light curves,\n", "- a damped-random-walk or quasi-periodic GP kernel for AGN variability." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 5 }