{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Robust Linear Models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:45.480070Z", "iopub.status.busy": "2026-08-27T07:04:45.479839Z", "iopub.status.idle": "2026-08-27T07:04:46.215045Z", "shell.execute_reply": "2026-08-27T07:04:46.213543Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:46.218263Z", "iopub.status.busy": "2026-08-27T07:04:46.217225Z", "iopub.status.idle": "2026-08-27T07:04:47.896718Z", "shell.execute_reply": "2026-08-27T07:04:47.895153Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation\n", "\n", "Load data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.898847Z", "iopub.status.busy": "2026-08-27T07:04:47.898455Z", "iopub.status.idle": "2026-08-27T07:04:47.907878Z", "shell.execute_reply": "2026-08-27T07:04:47.907031Z" } }, "outputs": [], "source": [ "data = sm.datasets.stackloss.load()\n", "data.exog = sm.add_constant(data.exog)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huber's T norm with the (default) median absolute deviation scaling" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.911696Z", "iopub.status.busy": "2026-08-27T07:04:47.910647Z", "iopub.status.idle": "2026-08-27T07:04:47.932995Z", "shell.execute_reply": "2026-08-27T07:04:47.931764Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const -41.026498\n", "AIRFLOW 0.829384\n", "WATERTEMP 0.926066\n", "ACIDCONC -0.127847\n", "dtype: float64\n", "const 9.791899\n", "AIRFLOW 0.111005\n", "WATERTEMP 0.302930\n", "ACIDCONC 0.128650\n", "dtype: float64\n", " Robust Linear Model Regression Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 21\n", "Model: RLM Df Residuals: 17\n", "Method: IRLS Df Model: 3\n", "Norm: HuberT \n", "Scale Est.: mad \n", "Cov Type: H1 \n", "Date: Thu, 27 Aug 2026 \n", "Time: 07:04:47 \n", "No. Iterations: 19 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "var_0 -41.0265 9.792 -4.190 0.000 -60.218 -21.835\n", "var_1 0.8294 0.111 7.472 0.000 0.612 1.047\n", "var_2 0.9261 0.303 3.057 0.002 0.332 1.520\n", "var_3 -0.1278 0.129 -0.994 0.320 -0.380 0.124\n", "==============================================================================\n", "\n", "If the model instance has been used for another fit with different fit parameters, then the fit options might not be the correct ones anymore .\n" ] } ], "source": [ "huber_t = sm.RLM(data.endog, data.exog, M=sm.robust.norms.HuberT())\n", "hub_results = huber_t.fit()\n", "print(hub_results.params)\n", "print(hub_results.bse)\n", "print(\n", " hub_results.summary(\n", " yname=\"y\", xname=[f\"var_{i}\" for i in range(len(hub_results.params))]\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huber's T norm with 'H2' covariance matrix" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.935218Z", "iopub.status.busy": "2026-08-27T07:04:47.934952Z", "iopub.status.idle": "2026-08-27T07:04:47.949272Z", "shell.execute_reply": "2026-08-27T07:04:47.948010Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const -41.026498\n", "AIRFLOW 0.829384\n", "WATERTEMP 0.926066\n", "ACIDCONC -0.127847\n", "dtype: float64\n", "const 9.089504\n", "AIRFLOW 0.119460\n", "WATERTEMP 0.322355\n", "ACIDCONC 0.117963\n", "dtype: float64\n" ] } ], "source": [ "hub_results2 = huber_t.fit(cov=\"H2\")\n", "print(hub_results2.params)\n", "print(hub_results2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Andrew's Wave norm with Huber's Proposal 2 scaling and 'H3' covariance matrix" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.951301Z", "iopub.status.busy": "2026-08-27T07:04:47.951049Z", "iopub.status.idle": "2026-08-27T07:04:47.983803Z", "shell.execute_reply": "2026-08-27T07:04:47.982497Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters: const -40.881796\n", "AIRFLOW 0.792761\n", "WATERTEMP 1.048576\n", "ACIDCONC -0.133609\n", "dtype: float64\n" ] } ], "source": [ "andrew_mod = sm.RLM(data.endog, data.exog, M=sm.robust.norms.AndrewWave())\n", "andrew_results = andrew_mod.fit(scale_est=sm.robust.scale.HuberScale(), cov=\"H3\")\n", "print(\"Parameters: \", andrew_results.params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See ``help(sm.RLM.fit)`` for more options and ``module sm.robust.scale`` for scale options\n", "\n", "## Comparing OLS and RLM\n", "\n", "Artificial data with outliers:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.986106Z", "iopub.status.busy": "2026-08-27T07:04:47.985860Z", "iopub.status.idle": "2026-08-27T07:04:47.991424Z", "shell.execute_reply": "2026-08-27T07:04:47.990614Z" } }, "outputs": [], "source": [ "nsample = 50\n", "x1 = np.linspace(0, 20, nsample)\n", "X = np.column_stack((x1, (x1 - 5) ** 2))\n", "X = sm.add_constant(X)\n", "sig = 0.3 # smaller error variance makes OLS<->RLM contrast bigger\n", "beta = [5, 0.5, -0.0]\n", "y_true2 = np.dot(X, beta)\n", "y2 = y_true2 + sig * 1.0 * np.random.normal(size=nsample)\n", "y2[[39, 41, 43, 45, 48]] -= 5 # add some outliers (10% of nsample)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: quadratic function with linear truth\n", "\n", "Note that the quadratic term in OLS regression will capture outlier effects. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:47.993579Z", "iopub.status.busy": "2026-08-27T07:04:47.993392Z", "iopub.status.idle": "2026-08-27T07:04:48.000474Z", "shell.execute_reply": "2026-08-27T07:04:47.999260Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 5.20285916 0.50189949 -0.01223037]\n", "[0.46005788 0.07102673 0.00628477]\n", "[ 4.89709981 5.14983909 5.39850328 5.64309238 5.88360638 6.12004529\n", " 6.3524091 6.58069783 6.80491145 7.02504999 7.24111343 7.45310178\n", " 7.66101504 7.8648532 8.06461627 8.26030424 8.45191712 8.63945491\n", " 8.82291761 9.00230521 9.17761772 9.34885513 9.51601745 9.67910468\n", " 9.83811682 9.99305386 10.14391581 10.29070266 10.43341442 10.57205109\n", " 10.70661267 10.83709915 10.96351054 11.08584683 11.20410804 11.31829414\n", " 11.42840516 11.53444108 11.63640191 11.73428764 11.82809829 11.91783383\n", " 12.00349429 12.08507965 12.16258992 12.23602509 12.30538517 12.37067016\n", " 12.43188006 12.48901486]\n" ] } ], "source": [ "res = sm.OLS(y2, X).fit()\n", "print(res.params)\n", "print(res.bse)\n", "print(res.predict())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate RLM:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:48.002775Z", "iopub.status.busy": "2026-08-27T07:04:48.002538Z", "iopub.status.idle": "2026-08-27T07:04:48.023382Z", "shell.execute_reply": "2026-08-27T07:04:48.022079Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 5.13361608e+00 4.90325495e-01 -2.77268058e-03]\n", "[0.15389811 0.02375979 0.00210237]\n" ] } ], "source": [ "resrlm = sm.RLM(y2, X).fit()\n", "print(resrlm.params)\n", "print(resrlm.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw a plot to compare OLS estimates to the robust estimates:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:48.025617Z", "iopub.status.busy": "2026-08-27T07:04:48.025386Z", "iopub.status.idle": "2026-08-27T07:04:48.318057Z", "shell.execute_reply": "2026-08-27T07:04:48.317488Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(x1, y2, \"o\", label=\"data\")\n", "ax.plot(x1, y_true2, \"b-\", label=\"True\")\n", "pred_ols = res.get_prediction()\n", "iv_l = pred_ols.summary_frame()[\"obs_ci_lower\"]\n", "iv_u = pred_ols.summary_frame()[\"obs_ci_upper\"]\n", "\n", "ax.plot(x1, res.fittedvalues, \"r-\", label=\"OLS\")\n", "ax.plot(x1, iv_u, \"r--\")\n", "ax.plot(x1, iv_l, \"r--\")\n", "ax.plot(x1, resrlm.fittedvalues, \"g.-\", label=\"RLM\")\n", "ax.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2: linear function with linear truth\n", "\n", "Fit a new OLS model using only the linear term and the constant:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:48.320973Z", "iopub.status.busy": "2026-08-27T07:04:48.320733Z", "iopub.status.idle": "2026-08-27T07:04:48.325847Z", "shell.execute_reply": "2026-08-27T07:04:48.325148Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.69581811 0.37959575]\n", "[0.39502965 0.03403735]\n" ] } ], "source": [ "X2 = X[:, [0, 1]]\n", "res2 = sm.OLS(y2, X2).fit()\n", "print(res2.params)\n", "print(res2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate RLM:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:48.328250Z", "iopub.status.busy": "2026-08-27T07:04:48.328009Z", "iopub.status.idle": "2026-08-27T07:04:48.340360Z", "shell.execute_reply": "2026-08-27T07:04:48.339181Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.20505036 0.46854841]\n", "[0.12308667 0.01060565]\n" ] } ], "source": [ "resrlm2 = sm.RLM(y2, X2).fit()\n", "print(resrlm2.params)\n", "print(resrlm2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw a plot to compare OLS estimates to the robust estimates:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:04:48.343364Z", "iopub.status.busy": "2026-08-27T07:04:48.342450Z", "iopub.status.idle": "2026-08-27T07:04:48.587975Z", "shell.execute_reply": "2026-08-27T07:04:48.586648Z" } }, "outputs": [ { "data": { "image/png": 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Gm0oppZRyXkWLwvr1Emg2bQovvAC9e8ON1s25bUdweKoVzeQMICwihh3B4bSqViLX5uXM50c12FRKKaWUcwgPhwULYPVqaSnp4iLb4oGBsprZsiWYHBtAnY9KP9DMynXZwdnPj+qZTaWUUko51oEDsiXu5wcvvwybN8PKlfb7e/aEVq0cHmgClC6asa57Gb3uTuWF86O6spnLTp06xerVqwkNDcXHx4fOnTvTuHHjFNesW7eO3bt38+qrr6b7POfOnWPFihWEhoZSoUIFunXrdttOREoppZTTsFqlbeRHH8HGjfbx+vVlq/y++xw3t1toXqU4vt4enI2ISfPcpgko6y3b2Dktr5wf1ZXNXDRr1ixq1KjBb7/9RuHChQkODqZjx44MGDCA+Pj4pOu2bNnCZ599lu7zbNiwgapVq7JmzRpcXV0JCgqiS5cuzJ49Ozd+DKWUUurO7doFDz4ogabZDL16waZNsHs3DBwIhQo5eoZpsphNTOohtT1vDt8Sb0/qUTtXgrvMnB91JF3ZzCU//PADL7/8MsuXL6dXr15J42PGjKFp06a8/vrrzJo1K0PPNXbsWPr06cOCBQuSxuLj4zl48GC2z1sppZTKFocPSyD5+ONyu2lTWb2sWxeGD5eSRnlEt7q+zOnfONU5ybK5fE7y5nOh1mhXzB7xmMy3vi63abCZS2bMmEGnTp1SBJoA1apVY/To0bz55ptMmDABLy+v2z5XWFgYfn5+KcZcXV2pX79+ts5ZKaWUuiM2m2SSf/QRrFsHnp5wzz1SDxNkGz2P6lbXl661yzo0AzzxXKgt3kzUzipEbKtG8S4HKFIvJM3rHCXvB5uGAdHRjvnenp4ZOqx8/fp1/vnnH6ZOnZrm/R06dGDixIns3LmTTp063fb5evbsybvvvktsbCxdu3alWbNmGQpSlVJKqVwRFQVffAEffwz//SdjJhN06QJXrtiDzTzOYjblanmjmzWpWByXY5U5sb4q1ig5dhD9X5mkYDM3z4/eSt4PNqOjpTWVI1y9CoUL3/ayyMhIDMOgbDqFZ319Zbn9ypUrGfq2s2fPpk6dOnz99de8++67AHTs2JEPPviA2ok9YpVSSilHWLtWtsqjouS2lxcMGiT9yqtVc+zc8pENG2DsWBPH9tQBwOIVjU+7wxSufQbI/fOjt6IJQrnAx8cHi8VCaGhomveHhMgnkJIlS2bo+VxdXXn++efZunUrV69eZc2aNZw5c4Zu3boRFxeXbfNWSimlbsswpD5mogYN4Pp1qFFDVjZDQuC99zTQzCb//itHXe+5B/bsAW9vGDgqkiZjtlOkzpmkDdey3h7M6d/YKeps5v2VTU9PWWF01PfOAHd3d1q1asXatWuZNGlSqvvXrl1LkSJFaNq0aaan4O7uTteuXZk1axb3338/R48e1dVNpZRSOe/aNViyRM5jVqggZzMBypWTfuX16kmWucoWoaEwcSJ8/rkchXV1lbyqCROgRAkvrLYO2kEox5hMGdrKdrSJEydy7733Mm/ePIYOHZo0HhQUxOzZs3nttdfwzGDw+tNPP/HAAw/g4mL/37d7924sFovW2lRKKZWzgoOlo89nn0FEhIyFhMDFi5C4Q9eggePml89ERcHbb8O778qCMUi3zhkzUi4WO/r86K3k/WAzj+jatSuLFi3i+eef56uvvqJhw4aEhISwdu1aRowYweuvv57i+kuXLvHSSy+lGPP19WXMmDGsXr2aUaNG0bhxY8qWLcvhw4fZsmULH3/8MUWLFs3NH0sppVRBsX27RDgrV8rWOYC/Pzz3HDz9tJzNVNkmIUHi+UmT4Px5GWvdGt55R5op5SUabOaip556ip49e7Jx40ZCQ0Np0qQJ77//PhUrVkxx3X333YePj0+qx5coIZ9YPv30U8LCwvjrr784e/Ys7du358svv6R06dK58WMopZQqiA4cgJ9+kq/vvReefx66ddOt8mxmGLBqFbzyChw6JGPVq8Nbb8HDDztFx85MMxmGkVaXI4eKjIzE29ubiIiIVCV9YmJiCA4OpkqVKnh4OLZuVF6mf49KKaXSdeIEfPIJ1KoFzzwjYzExMG4cDB4MNWs6dHr51d9/w0svSWt4kFMJEydK23hXV8fOLS23iteS05VNpZRSSsmS2m+/SQb5Tz9JFspdd8FTT8nqpYeHHBxUWWa1GWkm8Zw4Aa+/Dl9/Ldd5eMCLL8Krr0q2eV6nwaZSSilVkEVHw5dfSlb5vn328a5dZatcZYt1+8JStbcs5VaEiqeasPrrIsTFyRb5k0/C9OmS4J9faLCplFJKFWRDh8LSpfK1p6esZI4cCVpGL9us2xdGwNIgEs8tGglmooIqcXqrPztj3ADo3BlmzYJGjbL+fUIiQzhy6QjVS1THz8vv9g/IJRpsKqWUUgWFYciBwKpV7UtngwbBn39KgPnMM/mmlaSzsNoMpqw6gMGNDtuHfLnye00SIqTcoWvJSKo+cJx1CxrgYsl69s+CoAUMWT0Em2HDbDIzv/t8BjUelE0/xZ3RYFMppZTK76Kj4auv5Dzm3r0werT9/GX79nDkCFgsjp1jPrUjOJywiBhiThfj8qZaxIVJMG8pEoN3m/8oUu80MWb4+0SFLNfJPB1xmsGrBmPcWDu1GTaGrh7Kvf73OsUKpwabSimlVH516pRklX/6qb2lZKFCKQNLk0kDzRy0698Ezv/QhOtHygJgck3Aq8UxvJoFY3azJl13PiomvadIl2EY/HzsZ55f93xSoJnIalg5Gn5Ug02llFJK5ZBnn4VFiySrHKByZdkqHzhQt8pzwfnzMGUKzJtXGqvVBCaDIg1O4XP3ESxFYlNdX7po5soQbj65mfG/juePU3+keb/FZMG/uH+W5p7dNNhUSiml8oPr16VmTmLVb29vCTQ7dZKs8u7ddQUzF0RHw/vvw8yZ0moSTPjUvIDn3QdwLXk11fUmoKy3lEHKiB2hOxj/63g2HN8AgLvFnRHNRuDn7cfYn8diNaxYTBbmdZ/nFKuaoMGmUkoplbcl3yr//nvo2FHGx4yRhJ+6dR07vwLCaoUlS2D8eAgNlbEmTaS9ZEzJBAKWSqCZfLM7MR1oUo/aWMypk4OSZ5dfir7ExN8msvLwSgBczC4MbjyYcW3HUd6rPAC9a/fmaPhR/Iv7O02gCRps5ppjx44RHBwMgMVioVy5clSrVg0XF5dU1507d47WrVvf8nn8/PyoeVMHh0uXLrFr1y6KFClCy5Ytc+YHUUop5XiGAb//Lgk/K1bYt8q//toebJYrJ39UjtuwAcaOhT175HbFitJGvk+fxG6evszp3zhVnc2y3h5M6lGbbnV9Uz1n8uzy5MwmMwMaDGBiu4lUKVYlxX1+Xn5OFWQm0mAzlyxatIj33nuP1q1bY7VaOXz4MJ6ennz99dc0a9YsxXXLli3j6NGj6T7PG2+8Qa1atThw4ECK+95++23efvtt6tSpw77khXmVUkrlDwkJ8PnnUoD933/t48m3ylWu2bsXXn4Z1q+X297e0tHzuefkRENy3er60rV22TQ7CN0sJDIkzUDzwRoP8naXt6lRskZO/Ug5QoPNXFSuXDk2btwIQFxcHPfffz+DBg1i7969mXoef39/zp07x9atW2nVqhUACQkJLF68mJYtWxIlh0SUUkrlN2az7MsePiwF2J98UpJ+dKs8V4WGwoQJEvcbhvQtHzFCttBL3KJ6kcVsum15o5DIEAL+F5Aq0AQY1XJUngs0AcyOnoAjhUSGsCl4EyGRIbn+vd3c3Hj44YfZt28fMTGZK3fg7u7OE088wYIFC5LGVq9eTeHChWnXrl12T1UppZQjJPYqHzBAkn9Ags1JkyTgDAmBuXM10MxFUVESUFavLon+hgG9e8PBg5IUdKtA83bOXT3HqHWj8P/In9X/rU51vzNll2dWnl/ZNAyD6PjoTD/uiz1f8Nza55Iq7X9838c81eCpTD2Hp6snJlPWq/2HhoZSqFAh3NzcMv3YQYMG0aZNGz788EMKFy7MZ599xsCBA4mMjMzyfJRSSjmBxF7lH39s3ypv3146/QD07eu4uRVQ8fHw2WcwebKUNAK4+26J+e80RSL8ejjv/PUOH27/MCmeaVuxLa38WvHu1nedMrs8s/J8sBkdH02RGUXu6Dlsho0Ra0YwYs2ITD3u6mtXKexWOMPXX79+nY0bN2Kz2di7dy8fffQRr776KmZz5heYGzRoQI0aNfj222+555572LBhA/PmzePjjz/O9HMppZRyAidOSFb5Z5/B5csy5ukpK5tt2jh0agWVYcDKlfDKK3JyAWRVc+ZM6NnTXmUqMxIzzMsWKct3B77j3a3vEhkrC0XNyjVjeqfpdK3aFZPJxHMtnnPK7PLMyvPBZl5y+fJl3nrrLeLj49mzZw8NGjTgpZdeyvLzDRo0iAULFhAaGkrXrl0pX758Ns5WKaVUrjlzBvz9pX4OSO/yESO0V7kD/f03vPSStJIHKFlSVjaHDJEzmlmRXoZ5/TL1mdZxGj3u6pFix9RZs8szK88Hm56unlx9LXWR1FsJjQyl1ie1UvzPtpgsHBh+IKlWVUa/d2YkTxC6dOkSrVu3JiAggM8//zxTz5OoX79+jBkzhv/++4958+Zl6TmUUko5wLVr8Ndf0LWr3C5XTr62WiWV+f77tQC7gwQHw+uvw7JlctvDA0aNktVNb++sP++x8GMp+pcnCrwvkGHNhmE25d80mjwfbJpMpkxtZQPcVfIu5nefz9DVQ1Ochbir5F05NMvUSpQowSeffEKXLl0YMmRIunU1b8Xb25uxY8cSFBREdy13oZRSzu/4cQgMhIULJdvk5ElI3JVasQLc3R06vYLs8mV44w05KhsXJ1vkAwbAtGlQoULWnzfeGs8Xe77g9V9eTxVoAtQuXTtfB5qQhWDTZrOxbt06goKC6NmzJ3VvkQV3+vRpvvjiC2rVqsUjjzxyRxPNboMaD+Je/3sdehaic+fOdOvWjZdffpktW7YkjSee7UwuvULtU6ZMyfF5KqWUugOGARs3ShSzerXcBqhWLWWwqYGmQ8TGSvw/fbr9qGyXLjBrFjRsmPXntdqsLNu3jMm/T+ZoeNq1s/NyhnlmZCrY3LBhA8OGDaN69eqsX7+eypUrpxtsWq1W+vbty759++jSpYvTBZuQu2ch/P39ufvuu1ONz5w5k9GjR7Nv3z7q1q2Lv78/tWrV4q233kpxXZUqVWjZsiX+/v5JtTXTUr169Vver5RSKhft2SPZ4wcP2sfuvVe2yu+7L7G9jHIAw4BvvpEt8xsN/qhbV4LMe+/NWvKPPK/Bj4d+ZOKmiey/sB+AUp6leK3Na3i4ePDc2ufyRYZ5ZpgMw0i9ppuOoKAgihUrRpUqVTCZTCxZsoT+/funee24ceM4fvw4UVFReHh48P3332d4UpGRkXh7exMREYGXl1eK+2JiYggODqZKlSp43FyeX2WY/j0qpVQOiY21r1JeuSIrlxYLPP20JP3UyHtFufObzZsl+efvv+V2uXKyXf7UU5k/KpuYXe5f3J9/z//LhE0TCAoLAsDHw4exrcfyfIvnKeJWJOn6/JBhDreO15LL1Mpm48aNM3Tdr7/+yldffcWuXbvSDUaVUkqpfMNmg59/lq3yS5dg2zYZ9/GRrfMmTeAWb8Yqdxw+LIk+P/0kt4sUkXaTo0dD4cylfwDpZ5cXcSvCqJajGN1qND4ePinuyy8Z5pmR7QlCFy5c4KmnnmLp0qX4+Phk6DGxsbHExsYm3dbC5EoppfKEyEjpWTh7Nhw5Yh8/dAhq1pSvO3Z0yNSU3fnzUrZo/nxJ+LdYYPBgGStTJmvPmV7/8qGNhzK983RKepa843nnF9l6WMQwDJ566in69+9P+/btM/y4GTNm4O3tnfSnwp2kfSmllFI57dgx6Ulevjy88IIEml5e8OKL8nVioKkcKjpaEn+qVYM5cyTQ7NFDGjPNmZP1QHNX2C4e/fbRNPuX96nXRwPNm2TryuaGDRv45ZdfaNasGdOnTwfg6NGjuLi4MH36dJ577jm80yhS9dprrzF69Oik25GRkRpwKqWUcl5790oKM0CtWhJ4Dhgg+7LK4axWWLxY+pifOSNjTZtKe8lMrIWlcuDCASb9NonvD6Sdh1JQssszK1uDzQoVKjB27FisVivWG10QrFYrJpOJmJgY0stFcnd3x11LPiillHJGly/DokVyqG/oUBnr0UN6lffpA507Zz11WWW79eth7Fh7W/lKlWDGDHj88awn/x8NP8qU36fw5d4vMTAwYaJvvb7ULlWbSZsmFbjs8szK1mCzVq1aSSuaiXbv3o2Hh0eq8TuViSR6lQb9+1NKqdvYt0/OYi5ZIvuxvr7SPtLNDVxcpIe5chp79kiQuWGD3PbxgXHjZNE5s0VXEjPMPV09WbBrAQt3LcRqyCJar1q9mNJhCnVLS+nHpxo8lW+yy3NKpoLNEydOsHTp0qTbP/30EydOnKBRo0Y88MAD2T65tFhu1CSIi4ujUKFCufI986Po6GgAXLPa4FUppfKjhARYtQo++gh++80+Xreu1MZUTickRLbLFy+W2pmurhJgjh8PxYtn/vnSyzC/z/8+pnWcRpNyTVKMF8Ts8szKVLBptVqJiYkBpI4mSL3G+Pj4dB/Tp08fXFyybwHVxcUFT09PLly4gKurK2YtiJsphmEQHR3N+fPn8fHxSQrelVJKIXVx3ntPvjaboWdPeP55aNdOt8qdTGQkzJwp/7tuhCY8/ji8+SZUrZq15/z33L9p9i//4bEfeLjWw3c444IrU0Xdc8vtioTGxcURHByMzZY6C0xljI+PD2XLlsWkvzyVUgXZrl1QtCj430jq2L0bunaVujjDhkHFig6dnkotPl5KGE2ZAhcuyFibNpL806JF1p4zIiaC97e9z9t/vs31hOup7t/01CY6VO6Q9UnnUzlS1N1ZuLm5Ub16deLi4hw9lTzJ1dVVVzSVUgVXfDz88IMUYP/zTzmHuXCh3NewIYSGyrlM5VQMQ4qxv/IK/PefjN11l6xuPvRQ1haer8Vd4+MdH/P2n29zOeZymtdohvmdy5PBJoDZbNY2i0oppTLu7FlZEps7F8LCZCzxmJdh2KMVDTSdzvbt0l5yyxa5XaqUFGQfPFjOaGZWTEIM83bO480tb3L+2nkAapWsxdSOU7kcc5mA1QGaYZ6N8mywqZRSSmXYSy9J0k9ijkHZslLGaOhQyTJXTun4cXj9dfjmG7nt4SGtJV95JePdP602g9X79vHvuYPUKu3P+bgdvPHHdEKjQgGoWqwqk9tPpl+9fljMsut3n/99mmGejTTYVEoplf/ExMiqZeLKpY+PBJotW0pW+aOP6gqmEwsPl84/s2fL/zaTCZ56CqZNA79MxH7r9oUxYsW7HE94D0wGGMCNBWw/Lz8mtJvAMw2fwdWScnlUM8yzl6ZyK6WUyj9CQqS4YsWKsHKlfXzYMPj7b9i6Ffr100DTScXGwrvvSnvJ99+XQLNrV8njWrQo84Hms0vX2QNNkEDTAJ+4fgR22syQJkNSBZoq+2mwqZRSKm8zDNi8GXr3hsqVpfbNhQv2vVeAkiWlX6FySjYbLFsmLeVfegmuXIF69WDdOvj5Z2jQIHPPl2C18eJPCzjr/ro90ExkAnejLjPWHMdqc7qCPPmSBptKKaXyJpsNPv1UMsjbt4fvv5em2B06yNdffunoGaoM2LwZWrQ06NsXTpyAkmVsfPqpwa5dcO+9mXsuwzDYeHwjDec253DCBKzms3BzPGmYcbGVIywihh3B4dn1Y6hb0DObSiml8iazGRYsgL17oVAhePJJaR1Tr56jZ6Yy4NAhSfSR0w4mTG4JeLU4RqGmwSy44Irfwdp0q5vx5K0/T/3JuF/H8fvJ3wEwGe4UTeiBxSjGZdcFYLKBYaZ4/EhcKAnA+aiYHPjJ1M002FRKKeX8bDZpej1vngSYxYrJ+PjxcPgwDBxoH1NO7dw5Kcg+f74sRGOyUaThaXzu/g9LYamffTbCSsDSIOb0b5xuwJnYvzw6PprZf89m3dF1ALhZ3HjI/2m27m6LBfk34Wm9mwTzGVxs5ZICTYDSRbWEYm7QYFMppZTzioyEzz+HwEB7Je+774YxY+Tr7t3lj3J60dHSWnLmTLh6VcaK1bpAobv341riWoprE5PGp6w6QNfaZbGYU1ZsT6t/uYvZhYENBzK+3XjKFfWjTfCvnI2IwQBcKImLzR5kmoCy3h40r5KF5ukq0zTYVEop5XwOHpS6N4sX2yMTLy/p9vPgg46dm8oUqxW++AImTIAzZ2SsWTN4elQEb+/Zke7jDEg6V9mqWomk8T9O/sGzq55Nca0JE5ue2kSbim2Sxib1qE3A0qDEBPRk19rvvzmIVTlDE4SUUko5l/BwST/+5BMJNGvXlq9DQuCDD6B6dUfPUGXQ+vXQqBEMGiSBZuXK8PXXsG0blK91NUPPkXiu8uSVkwz6aRAdPu+Q6hoDgwRbQoqxbnV9mdO/MWW9U26Vl/X2uOX2vMp+urKplFLKsS5dkvo2ffvK7eLFpYxRdLQUYO/YMWuNr5XD7NkDY8fKMVuQmvrjx0v+lru7jGX0vKTJcpmRa2Yw/5/5xNvi07wmvf7l3er60rV2WXYEh3M+KobSRWXrXFc0c5cGm0oppRxj1y74+GNZ6oqJkSWwmjXlviVLJNtc5SkhIRJULl4s5U/d3CTAHDdOPkMk17xKcXy9PZLOVd7MRgQJhVfw+MpVxCTI6mbnKp2Z1nEaBy4cYOjqoRnqX24xm1Jsw6vcp8GmUkqp3BMXB8uXy3nMv/6yjzdqBJcv229roJmnREbCW29J15+YG9WE+vSR+vpVqqT9GIvZlOJcZTwXSTCfwWzzJtplM5EuKzFs18EGrSu0ZnrH6XSs0hGAVhVaca//vdq/PFFCgtSQCgyEUaOcLmlOg02llFK5Y88e6NYNzp6V2y4usl3+3HPSs1y3yvOc+HgpYTR5Mly8KGNt28I770Dz5rd/fOK5yhEr3iU0jf7ljX0bM73jdLr5d8N0078P7V+O1JH67DOYO1eWlUGWkzXYVEopVSAYhrSNLF1abt91l0Qnvr7Sq3zwYPla5TmGAStWwKuv2itS1aghZY0efDBznxuq+V4l2HpT/3Jgfvf5PNv42VRBZoFnGLB1q6xifvedvKZAWrIOHiyvLSejwaZSSqnsFR0t5zBnz5avDx6UbfFChWDTJolK3NwcPUuVRdu2SfLPli1yu1QpKdL+7LPg6prx54mzxrEgaAETNk3ASOPUZvUS1TXQTC7562r3bvt4ixZyMLZ3b3v2lZPRYFMppVT2OH4c5syRDj+J5y89PCTYrFNHbmsryTzr2DF4/XX49lu5XagQjB4NL78sJVAzKsGWwJI9S5jy+xRORpxM85r0sssLpKNH5XW1aFHK11XfvjBiBDRp4tj5ZYAGm0oppe5MUBBMmgT/+59s8YEUVBwxQoqwl9BM4Lzs0iWYPl12bePjZYv86adh6lTwy8SRSZth49v93zLpt0n8d0n23ssWKcv4tuOxmC2MXDMyQ9nlBYLVCuvWyV/62rX28SpVICBA2rPmodeVBptKKaXuTGQkrF4tX997r2zp3XcfWCyOnZe6IzExUpnqjTcgIkLG7rkH3n5bau5nREhkCP9d/I/jV47z0faP+Pf8vwCUKFSCV9u8yvBmw/F09QSg+13dNbv80iVYuFBWMoOD7eP33Scf3rp1y5OvKw02lVJKZdz+/bLaUqIETJsmY+3by9JX796SBKTyNJsNli2TLfOTN3a569eHWbMk2Myoz4I+Y8iqISnOY3q7e/NS65d4ocULFHUvmuL6Ap1dvnOnvK6WLbPXjvLxkRXMgADwz9tHCkyGYaRVS9WhIiMj8fb2JiIiAq/MHARRSimV/RJr+M2eLQk+AN7eEBoKhQs7dm4qW/32G7z0Evzzj9wuX14+Rzz5JGAyMtyJ5/sD39P7u94pxkyY2BOwh3ql9dwuIEHld99JkLl9u328USNZxezbFzw9HTe/DMhovKYrm0oppdJ2/rzU8Jszx17Dz2yGhx6SN0MnfyNUGXfgALzyiv00RNGiUtboxRflf/O6fWFMWXWAsIiYpMf4enswqUftFD3Gt4dsZ8KmCWw4viHV9zAwuBR9Kad/FOd38qTUxfzsM3txUldX2RkYOTJf1pzVYFMppVTaZs2S6twgNfyGDIGhQ6FiRcfOS2Wbs2elIPunn8r2ucUi/4snTbKXR123L4yApUGpihOdjYghYGkQc/o3xrfkeSZsmsCq/1YBkk1uM2wpttALdIa5zQa//CKrmKtWyW2QDKthw6RuVJkyjp1jDtJgUymllGzpffut1MBs0ULGAgLgjz9kFbN3bym3ovKFa9fg3Xcl2efaNRnr2VNaTtaoYb/OajOYsupAmr3LDSDedJonfpxFuO13AMwmMwMaDGBiu4n8GvxrhvuX51sREfD55/DJJ/bq9wCdO8vrqkcP6aSVz+X/n1AppVT6bt7S69kTfvxR7qtaVSp4q3zDapVyjRMnQliYjDVvLgvYbdumvn5HcHiKrfOEG/3LMVy46rKea5ZNSat0j9d5nCkdplCjpESrg4oNKrj9y//9V1Yxly61R/NFi8JTT8Hw4VCrlmPnl8s02FRKqYLGMOxbeitX2rf0KlSAVq3k/nx2ZqygMwwp2/jyy7Bvn4xVqQIzZsBjj6X/v/t8lD3QjLL8TLjrx6n6lxeytmRG56m80L5rqscXqAzz+Hj44Qd5Xf3xh328Th1ZxezfXwLOAkiDTaWUKmgefhh++sl+u1MnSUwoIFt6Bc2uXdJe8pdf5HaxYjBhgiyw3a67YemicnQilmOEu36UFGBiAgwoFTsBT6MFzf0a59j8nd6ZMzB/PsybJ4dgQQ6/PvywBJnt2xf4D2/6W0UppfK7gwehUiV79niXLhJ5JG7p1a7t2PmpHHHqFIwfLzu5hiHt6J9/XupnFiuWsefwLwvxhb/krPV7e6CZyARmUyF8vaQMUoFiGLB5s6xi/vijlAcDKFtWEumGDJG6UQrQYFMppfKnhATJep09G379Vc5kDhok9w0cCAMGZK6htcozIiIk0ef99yE2Vsb69ZNOQJUrZ+w5ImMj+XDbh7yz9R0ibZFJK5kpAk7DjKutHJN61E633ma+c/WqRO+BgfbzCABt2sjuwMMPS1SvUtBgUyml8pPE2phz58Lp0zJmNqfMhNX6mPlSXJzs5E6dai/f2L69JP80bZqx54iOjyZwRyAz/5zJpetSE7N+mfo8XHUUi3f8S3DCB2CygWGmqssoAvvfk6LOZr516JBklH/xhbRnBXkd9e8vW+X16zt2fk5Og02llMoPrFZZsVy2TKIOkNqYgwdLHT+tjZlvGYbkpbz6Khw9KmM1a0pZo+7db39cMCQyhP3n97MjdAef7PyEs1fl3OFdJe5iaoep9K7TG7PJzIQuBqv3Pc2/5w9Rr3RNutetm79XNBMSpMr97Nn2A68gLVmHD5djKD4+DpteXqLBplJK5VUJCfaEHotFVjXj4qSWzciRWhuzANi2DcaMgb/+ktulS8OUKVIjPCO5XvN3zmfY/4alKL5e2acyk9pPon/9/riY7U9iMZt4qH49HiKft5tMb3ege3dZxezSRW6rDNPe6EopldecOCEtJL/4AnbulC4kAEFBEoA2b+7Q6amcd+wYvPaatNYGKFRIepqPHZux6jpWm5XAvwN5Yd0LKcbNmDny/BGqFquaA7N2YoYh/ckDA6W5QfLdgWefld2BSpUcO0cnpL3RlVIqP7HZYONGe7u7xHWCpUtl/xSgcQEuP1NAXLoE06bJ8cH4eNkif+YZOaeZkeRnwzD48dCPTNw0kf0X9qe634aNUxGnCk6wef06fP21vK6CguzjzZvLKuZjj+nuQDbQYFMppZzZtWuypRcYCEeO2Me7dpWt8gcecNzcVK6JiYGPP5aM8ogIGevWTc5l1ku2q221GewIDud8VAyli0pJIovZhGEYrD26lgmbJhAUJkGVl7sXUbFRBbN/+bFjsjuwcCFcvixj7u7Qt68EmRnNqFIZosGmUko5s/h4GDdOgk4vL0lKGDEiZQNrlW/ZbLLwNm6cdBYFaNAAZs2SzxvJrdsXxpRVB1K0l/T19qBni8usPPE+f52Wg51F3IrwYosXGdN6DMsPLC84/cttNmmjFBgIa9fadwcqV4aAAEmwK1nSoVPMr/TMplJKOYv4eCkQ/euvsuqSmEb81luS9dq/PxQp4tApqtyzaZOcwfznH7ldvrysbPbvL/lgya3bF0bA0iAM7P3LbVwjymU1MZY9AHi4eDCy2UhevvtlShUulfTYkMiQ/N2/PDxcVjDnzIHjx+3j3brJB7f77kv9F6oyJKPxmgabSinlaInt7ubPh7AwGdu2DVq0cOy8lEMcOCA9zP/3P7ldtKgcy33xxbRLpFptBm1m/kpYREzK/uWJDBfKWB5g5/Of4OddLld+BqcQFCSrmF99JecQQD60PfOMrGRWr+7Q6eUHmiCklFLOzDDgjz/kzfCHH+zt7sqUkVZ3mvla4Jw9C5MmyRFdm00W24YNg4kTpaRRenYEhxMWEcN1056U/csBDCgb+xbuRk1OX3THzzvHfwzHio2VFP3AQPnAlqhhQ1nF7NdPmxo4gAabSinlCBs3wj332G/ffbck/PTqpe3uCphr16TLz6xZ8jVI18MZMzJ2NHfP2UNcdH2Xa5ZNafYvN0xxYMD5qJg0H58vnDol7ZM+/RQuXJAxV1d49FEJMlu3vn11e5VjNNhUSqnccPgwBAfLOTGATp2gdm0JMkeMkKwPVSAkZoyHXY5hx3pvvphdmLNnJRBq0UICzzZtbv88pyNOM23zNBbuWojVxSqDafQvd7HJ1nnpovmshI9hSGefwEBYuVKWg0EOtw4bJt2zypRx7BwVoMGmUkrlnMR2d4GBspLp6yspxa6uske6d68mJhQw6/aFMXnlAYJ3FeXyb7WIvygJX2X9EvjwXRd69779AtzZq2eZ8ccM5v4zlzirFB/3MTWn0PV+xJqPE+46O6l/efH4kbhSkrLeUgYpX4iIgMWL5XV1+LB9vGNH+eD20EMZa5+kco3+31BKqex24YK93d2pUzJmMkntvkuXoGxZGdNA02mlV6/yTqzbF8bAd45y+bcGxJyUEjtmjzi8Wx/BvdEpvGo3xGTyTfOxIZEh7Dyzk5+P/cwXe74gOj4agA6VOzC943SiIqsSsDQId6s/hayNSTCfwcVWDlfk+0zqUTvv9zHft08CzCVL7OcNihSRcmDDh8tOgXJKGmwqpVR2WrhQMl0T292VKGFvd1e5skOnpjImvXqVk3rUplvdtIPB2wk+YfDkk3Bxd1sZsFjxanICr1ZHsXgkYAKmrDpA19plUwWFs3fM5vm1z6covt6ifAve6PQGnap0wnRjKXRO/8Y35l0SF5sEmWXvcN4OFx8PK1ZIkPn77/bx2rVlFfPJJzPWn1M5lJY+UkqpO3H9OkRF2dOFd++GRo2gWTNJ+NF2d3lK8nqVySWGf3P6N85U4BYRIYk+779vEBcnz+JZO5Ri7Q7j4n091fVfD25Jq2olALgWd403Nr/BjD9npLjGbDJz4oUTVPCukOrxObEi6xBhYfZyYGfOyJjFAj17yuuqfXtN+HECWvpIKaVy0vHj9nZ3Dz4IixbJeMOGst1Xp45Dp6cyz2ozmLLqQKpAE+x5N+mtPt4sLk5OUUydKicnwIR7xUsU63AQd9+IdB93PiqGmIQY5v8znzf/eJNz186lusZm2Dh2+ViawabFbEoKVvMcw4AtW2QVc/ny1OXAhgwBv3xYdL4A0GBTKaUyKr12d9u2yRtjYlKCBpp5UmK9yvQYQFhEDDuCw9MN6AxDyqa++iocPSpjNWvCwFGRzD627ZaLcQYJ/HX2G0Zuep+QyBAAShUqz4XrZ25890RmTp8vCpUz9eM5r2vX4Msv5XW1d699PLFSwyOPaDmwPE6DTaWUyoiFC6VXYPJ2d/feK2+G99+vyT75QEbrUKZ33dat8NJL8Je0IKdMGZgyBQYNApO5KD/M9OBsREyqlVMDK9GW34ly+5q3t0sHKT8vPx6u9jwr/7qL4pZfU2SYl4gfycQfzlLKMyzvnsUE+O8/+OQT+PxzOW8AUnD9iSe0HFg+k6VgMzg4mD179tC0aVP80ljSvn79Onv27CE+Pp46depQvHg+KbeglCpYDMN+LiwsTAJNbXeXb2W0DuXN1x09Cq+9Bt9/L7c9PSXofOml5LkrJib1qE3A0iBMQDwXiTeHEM8ZrrquIt58Wp67cGnGtR3HoEaD6fLuX0AMRa33pMgwd7mRYZ7RLX2nYrVKH87AQPj5Z/u4v79klD/9NBQr5rDpqZyRqWBz9+7djBs3jgMHDnDixAmWLFlC//79U1zzxhtv8Mknn1ChQgUsFgt79uxh2rRpjBo1KlsnrpRSOSImBr75RlZcxo6VDiQgGeVlymi7u3yseZXi+HqnvfoIcmYzeb3Kixdh2jT5p5KQAGazfA6ZOhXKpdGCvFtdX+b0b8zwFe8QmvB+iv7lRVx9GN/uVUY2H0lht8JsPXYpxZa+C/YMc8jYlr5TuXABFiyQg6wnT8qYyQTdu8sqZteu8heo8qVMBZvnzp0jICCA+++/H0s6W0be3t4cOHAAb29pwLp8+XIeffRR2rZtS9OmTe98xkoplROCg+WNcMGCxIwOyYRNDDbLlJGAU+VbFnPK1cfkAWfi2uGkHrWJizXx0Ufw5psQGSnj990Hb78Ndeve+ntcMX4n2Ppeii4/Jkxsf/ZPape214m80y19p7Fjh6xifvON9C0HKF7cXg6sShXHzk/likwFm/fee+9trxk5cmSK27169cLNzY2goCANNpVSzsUwYP16eTP83//sCT8VKsgboQaXBU7i6uPNdTbLensw4YHaXNztS4374bTsetOwobSX7Nz51s/71+m/GP/reDad2JTqPgOD89HnqY092Mzqlr5TuH5dgsvAQNi50z7etKmsYj7+OBQq5Lj5qVyX4wlC27ZtIy4ujlq1aqV7TWxsLLGJn3iQuk1KKZXjTCbZ89y6VW536SJvht27a7u7AqxbXV+61i6bol7l1eDivPqMiaAguaZCBZg+Hfr3v/Xub1BYEON/Hc/ao2sBcDW7kmBLSFGg3WKy4F/cP8XjMrul7xQSdwc++wzCw2XMzU2Cy5EjoXlzx85POUyOHpC4cuUKzzzzDPfddx9t27ZN97oZM2bg7e2d9KdChdS1w5RS6o4FBUmtvsRtcoAxY+CFF+DQIdiwQYpGa6BZ4CXWq/R3Lc/050twT1cJNL28pEj74cMwYED6gea+8/t45NtHaDK/CWuPrsXF7MKQxkM49vwxPu3xKRaTHEWzmCzM6z4PP6+UybaJW/qQYsc9xW2naEGZWA6sRw+oVk3OEoSHQ8WKcs4gJET6mGugWaBluYOQyWRKM0Eo0dWrV7nnnnuIjY3ll19+wcfHJ93nSmtls0KFCtpBSCl152Ji4LvvJItj2zYZmzVLUoWVSkdYGEycKBWvbDb5/BEQABMmQKlSaT8mJDKETcGb+OHQD/x06CcMDEyY6F+/P5PaT6Ja8Woprj0afhT/4v6pAs3kcqJ1Zra4fFkaGcyZYy8oCpLok7g7oOXA8j2HdhC6evUq9913HzExMWzcuPGWgSaAu7s77u7uOTEVpVRBdeIEzJsnW3oXL8qYqyv07i2t7pRKw9WrcgZz1iyIjpaxXr3grbduXenqrT9m8tqvr6YYe7T2o0zpMIXapWqnut7Py++WQWaitLb0HdqCcvduOYv55ZdyNhPA21tKFg0fDnfd5Zh5KaeW7cHmtWvXuP/++7l27RobN27UGptKqdwXEQG1asmqJkiLu8SEnzJlHDs35ZQSEmQVc9IkOHtWxlq2lMDz7rvTf1xYVBgDvn+Bjae+u+keMw9WejXNQDOzHN6CMi5OiogGBtor1gPUqydnMZ94AgoXdtz8lNPLVLB54cIF/vzzz6Tb//zzD0WKFKFy5co0bNgQgAcffJBdu3bx4Ycfsnnz5qRra9asSc2aNbNn1koplVx4uJy3fPxxue3tDQ8/LLX9NOFH3YJhSCGCV16BAwdkrFo1Wcl85BHSbS95MfoiM7fM5KPts4mzpVV+yMbYFT9TyrNc3u3yExIiuwOffgrnbvRod3GRv5gRI6BNm/T/gpRKJlO/fcPCwvj8888BeOihhwgODiY4OJiuXbsmBZslSpSgc+fOrFy5MsVj+/Tpo8GmUip7/fOPrLZ8/bWsYtavLyuaAF98IdvmSqXjn3/k6O5vv8ntEiXknOawYem34r4Sc4X3tr7H+9ve52rcVQDcrP7EmY+lKNKOYcbVVi7vdfkxDNi0SV5XP/0kHX9AqtQPGSJ/fPNo8KwcJlPBZv369VmxYsUtr/n222/vZD5KKXVryTv87NhhH69f315uBTTQLACsNiNLZxlPnoRx4+TYIYC7uxQkeO016UaalqtxV/lo+0fM+msWV2KuAFCjeH0uh/XCw9aEq5YNKfqXF48fiYWSeafLT1SUZI0HBsLBg/bx9u1lFbNnT31NqSzTfSWlVN4RFAT33GMvXZSY8DN8OLRurVt6BUhWsrSvXJFqPB99ZG9m07+/1MusVCn19SGRIew7t4+tIVuZs3MOF6IvAFCnVB2mdZyGKaYZL36zByDd/uXg5F1+DhyQAHPxYsmOAjl/OWCAvK5u1xJJqQzQYFMp5bxsNjk3VrGi3K59I9kiscPPoEGa8FMArdsXRsDSoFTFzs9GxBCwNIg5/RunCDjj4iDwE4PJUwwir0hhzA4dDd6ZZaJJk7S/x7yd8wj4X0CK4uv+xf2Z0mEKj9d5HIvZwtZjl1I85ub+5YmcrstPQoJskQcGypZ5opo1JcAcMEDOPSuVTTTYVEo5n0uXJDV4zhyp1Xf4sFTP9vCAP/6QGjSa8FMgWW0GU1YdSLOrjoEUPE88J2k2mfj+e3hhTAJhp10AE64lovDpeIjrjSK54F4bSLkKmmBL4KPtHzHm5zEpxs0mMz/3/5kqxey9vPNcl59z5yTZZ+5cCA2VMbMZHnpItso7ddLdAZUj9Le1Usp57NghZzGXLbPvc/r4SNHoxPp9t2h9q/K/HcHhKbbOb2YAYRExLFgeyefve9/oROqCuXAMPm3+o0j9EExmg3ORpFgFtRk2vtv/HZN+m8ThS4dTPa/NsHEy4mSKYDOxy0/A0iBMN753Iqfp8mMYUq4oMFDKF8XHy3ipUjB4MAwdat85UCqHaLCplHK8336DsWNh5077WKNGstrSty94ejpsasq53O78Y3y4J1d+r8nQmbINbHa1UrT5MbyaH8fsZk26LnEVdPLK/cRYdjDp94nsPbcXAB8PHyJiIm7bvxyk6Pqc/o1TnR8t6+guP9euwVdfSZC5Z499vFUreV09+qhkRimVCzTYVEo5hs1mbyxtNkug6e4utTKHD5deyrqlp26S3vlHa7QbEX9WJ2p3RbCZMZsNuveO5Z+SW3ApIqvkCVxMSuCxUILr5t3sil3Cw9/+B4C3uzcvtX6JF1q8wLf7v2Xo6qFYDWu6/csTOVWXnyNH5PjJokWSEQVy/KRfPwkyGzfO/TmpAi/LvdFzUkZ7bSql8hirVSpof/KJbIe//76MGwbMny/FokumTrBQKpHVZtBm5q9J5yRt8Wai/qlCxNZqGHFSmsenxkV+/64EwdYzvLBsNwBRlp8Jd/1YamEaJlwMXxLMZwDwsHgyutWLjGk9huKF7OcrM9q/3OGsVlizRlYx16+3j1etKh/cnnkGtJufygEZjdc02FRK5bzz52HBAklMOHVKxooVk76A6VXPViod6/aFMWxJENf2l+fy5hpYowoB4FYmgmIdD/L5uEp0q+vL1mOX6PvpNhK4SKjHMymLrgMYLhS1PsDXfd7igTp5sOnIxYv2RLoTJ2TMZIL77pNVzG7d7LsHSuWAjMZruo2ulMo527dLUcPvvrMnJpQoISWLhg7VQFNlies5X1xW3cPFg7KSaSl6HZ92h/FvdYnJD9nPSSZmix+5+k/qQBMoGTcG/6Jd6VarRq7O/479/besYiZPpCtWTF5XAQGyoqmUE9FgUymVc5YvlyQFgJYt5Y3wscfkDJlSmbRvH7z8MqxdC+CKl5fBE0Oj6dDrChVKVaB5lQYpzkkeDf8P99Ifcyn2p9RPZpjxsNVyfLZ4RiV2zgoMlGAzUePGMHIk9OkDhQo5bn5K3YIGm0qp7HHggGzn9eoFHTvK2LBh0kJy+HBNTFBZFhYmPcsXLpS8MhcX+dwycaKJkiULA4VTXH/iygmm/j6VL/Z8gc2wgQkKm2pwzXYkqZ1kVZdRBPa/x3HZ4hl14oQcP1mwQLbNQXYEHntMtspbtNBEOuX0NNhUSmVdfDysWCEJP7/9JmMhIfZgs2pV+OwzR81O5XFXr8KsWfDOOxAdLWOPPAIzZkhdf5AkniOXjlC9RHVMmHjjjzf4LOgz4m1ybOPBGg8yreM06pSqx+p9+/j3/CHqla5J97p1nXdF02aDDRtkFXP1akmgA6mHmdg5q3Rpx85RqUzQYFMplXkhIdKJ5NNPZdkJUnYiUeoOJCTIKubEidL0BqQ85DvvQOvW9usWBC1gyOoh2AwbJkxYzBYSbAkAdK3alemdptO8fPOk6x+qX4+HqJebP0rmXLkCn38uH96OHLGPd+kir6vu3bVzlsqT9F+tUirzune3F4ouU0Y6kQwZIj3LlcqiBKvBBwuj+HBGIUKCJfnH3x/eektOZyTfLQ6JDEkKNAEMDBJsCTQr14xZXWfRvnJ7R/wIWbNnj6xifvmlfQnXywueflqOoNTIYwlMSt1Eg02l1K1duQJLlsDAgVD4xtm4wYMlw3z4cOjZU7PK1R37+JsLjH/NhcjgYgCYC8VRoXMw7031okejlOcqo2KjmLhpYlKgmdzMLjPzRqAZFwc//ACzZ8Off9rH69aVVcz+/aFIEcfNT6lspMGmUiptQUGynffVV3D9urSMHDRI7hs+XLfLVbY4cQKeGXGd39aUkgGLFa+mwXi3PIbJI4HnvwFXV+lffj3+OoF/B/LWlre4dP1SqueymCxUL1E9d3+AzAoNhXnz5AjK2bMy5uIiS7cjRkDbtprwo/IdDTaVUnYxMfDttxJkbt9uH69XL2UHEn0zVHfoyhV480346COD2Fgp2VO4Tgg+bf/Dxfs6YO9fPmnlbo5cW86MLW8SdlXOCN9V4i46VOrAgl0LMtRS0qEMQxLoAgMloc56o0e7r68cPxkyBMqVc+QMlcpR2kFIKSUiI+WA3IULctvVFXr3llXM1q01wFRZYrUZKXqGNyxfnHlzTUybJlWxADwqXcSnw0Hcy0be1L+8GNcsv3DF5WusZvl3Wcm7EpPaT+LJBk/iYnZx7paSUVFyBCUwUEqDJWrXTlYxH35YXmdK5VHaQUgpdWtWK/zzDzS/ka3r5QVNm8L+/VJeZeBASf5RKovW7QtjyqoDhEXEYBgQfciXqC2FiA33BKB2beg17CKLQ7ZjMqXuX242vLCZIwAo5l6G6Z0n8mzjZ3Gz2M8I+3n5OV+QefCgBJiLF0vACXLe+ckn5cNbPSfOiFcqB2iwqVRBc+6cFIieN09KGJ08CX433qw//1zaSVosDp2iyvvW7QsjYGkQBhATUozLm2oRd0aSfyyFYxjxUgzvjvfh75MmlnwKCVy0B5oAJgObKQKTUQSfhMf5oc9kOtRwsqAyuYQEWLlSgsxff7WP16ghAeZTT4G3t+Pmp5QDabCpVEFgGLBli5zFXL7c3qe8eHFZyUwMNrVQtMoGVpvBlFUHiAsvzOXfa3L9v7IAmFwT8Gp+HO/mx9nh7orJ3InmVYpT1sudw9c2pdm/vFTcGKoWbUvb6uVz+8fImHPnJNkn8cMbSM3ZBx+UrfLOnfUIiirwNNhUKr/bt0/6Ju/fbx9r2VJWW3r31j7lKtut33mZ/d9XI2p3RbCZwWRQpP5pvNv8h0uRWADCIqzsCA4n1vIvUV6vcyX+79RPZJhxs1Vxvv7lhgFbt8oq5nff2T+8lSwpZcGGDZNuP0opQINNpfKnqCgoWlS+rlhR6st4esITT0hT6UaNHDo9lT9FR8MHH8D0N324fk2qFxSqdg6f9odwK3U1xbWxpkMMW/cWey9uAcDN7EEhoy4RtiDn7V8eHS2lwAIDYfdu+3jLlrKK2bs3uLs7bHpKOSsNNpXKL2Jj4fvvYc4cqYu5c6ds33l5yVmyxo3Bx8fRs1T5kNUKS5fC+PGJO8lm3MpEUKzjQTwqXSKBi8TcyDC3mSK54rqE65a/OXsRXM2uDG48mHHtxlGmsK9z9i8/elReVwsXSs0mkB2Bvn0lyGzSxKHTU8rZaekjpfK64GA5L7Zwob1skcUiGbHVnbzAtcrzNmyAsWPt3UsrVoTp0w0CT/3KuagYIlNkmCOFMwEw80zDp5jYfiKVfSo7ZvK3YrXC2rWyirlunX28alXZHXjmGUmmU6oA09JHSuV327fDtGmwZo2cIQMoX14KRD/7rBaJVjnq33/h5ZftcZi3N7z+Ojz/PHh4mCi1rzaDl/58U4Y5YEAha0s+un8Wz7Zq47D5p+vSJfngNmeOfJAD2SHo1g1GjpT/ms2OnaNSeYwGm0rlVefPw//+J1937SqrLT16SOs7pXJIaChMnChVsmw2qUk+fDhMmJByoa9OhQTKVVlKyNmbNs9MMLnTS84XaO7cKauYy5ZJJy2QYycDB8oPWK2aQ6enVF6m70pKOTvDgD//lJWW2rVh3DgZv/9+eYfv3x/uusuxc1T5XlQUvP02vPuuHAkGyYeZMSNlHHbu6jlmbJnBnJ1ziLPGpXoei8lCvyYtcmnWtxETI9nkgYEp27M2aiRnMfv2lcQ6pdQd0WBTKWcVFSVZF598IuWLAMqWhVdekdVLiwWmTnXsHFWW3dzGsXmV4s6RDHOThAT47DOYNEkW00G6l77zDrRqZb8u/Ho4b//5Nh/v+Jjo+GgA2ldqT0u/lrzz1zvO1b/85EmYO1d+sIsXZczVFR57TILMli21NqZS2UiDTaWczb//SoC5dClcvVEuplAh6NdPtsp1mzzPS97GMZGvtweTetR2mjI/hgGrVslnm0OHZMzfH2bOhGadQzgafoSQyOp4uXvx/tb3eW/be0TGRgLQvHxz3uj0Bp2rdMZkMjGy+UjH9y+32eCXX2QVc9UquQ3S0GDYMDnnrO1ZlcoRmo2ulLMZOhTmz5eva9SQAPOpp7RsUT6RvI1jconraHP6N3Z4wLlzJ7z0Evz+u9wuUUJWNocOhSX7FjBk9RBshg0TJjxdPbkWfw2ABmUaMK3jNLrf1R2Ts6wMXrkCX3whH+D++88+3rmzrGLqOWelskyz0ZXKCxLLFvXuba/VN3w4hIfLfzt00O28fCSxjWNan/ATqwJNWXWArrXLOmRL/cQJORL81Vdy28MDXnwRXn1Vss1DIkOSAk2Zs8G1+GtU9anKjC4zeLT2o5hNTpKpvXevrGIuXSrF2EEaHTz1lLy2atVy7PyUKkA02FQqt1mtUq5ozhypG2MYcPaspPcCNGggSQsq39kRHJ5i6/xmBhAWEcOO4HBaVcu9Go6XL8Obb8JHH0FcnHy+6d8fpk+3d12Mt8bz/tb3kwLN5Ob3mE/nqp1zbb7piouDH3+UIPOPP+zjderIKmb//vbOWkqpXKPBplK55dw5SUiYPx9OnbKP33MPPPqo4+alcs35qPQDzaxcd6diY2V3efp0WUwH2V2eNcve0dRqs/L1vq+Z/Ntkjl0+luo5LCYLNUrWyJX5pis0VF5X8+fLBzeQBLpevSTIbNdOdwiUciANNpXKDYYBbdvCkSNyu3hx6UAydKh2+SlAShf1yNbrssowZPH81Vftdcvr1JHSRvfdJ3GZzbDxw8EfmLhpIgcvHgTAx70k5ri6hNs2J/Uvr2R5kX2nLPjVzdEpp/1DbN4sq5g//CA7BiAVG4YMkT/ly+fypJRSadFgU6mcEBEBX38NgwZJSRWTCZ5+WnqUDx8uZzQLFXL0LFUua16lOL7eHpyNiEnz3KYJKOstZZByypYtkvyTWFbS11cqaHXpFUJwxBFCIv3Ze24vEzZNYNfZXQAU8yhGT/9h/PJ3Y0wUohBPk5DY65ySBCwNyr3EpqtX5Rzm7Nmwf799vG1bWcV8+GFwc8v5eSilMkyz0ZXKTkFBchbzq68kKeHbbyWwBFl5sVgcOz/lcInZ6ECKgDOns9H/+0/KGK1YIbcLF5Z2k2PGwLLDC1Ik/iQq6laUUS1H8UKLUTzw4T/pnjdNDJK3vNIp5xKbDh2SPf8vvoBIKbGEp6ecwxwxAurXz5nvq5RKl2ajK5Vbrl+Hb76RIHPHDvt47dopV1g00FRAt7q+zOnfOFWdzbI5VGfzwgWYMkWKHiQkSFvvwYNh8mTZcb45wzxRQJMApnaaSknPkmw9dskxiU0JCbB6tWyVb9xoH7/rLtkh0JJgSuUJGmwqdSfOn4eaNSWdF2TL/JFHpDZm27aalKDS1K2uL11rl83RDkLR0fDBB/DWW9KMCqB7dynKXru23A4KCyJgdUCaGeaP1X2Mkp4lAQckNp0/L8l0c+fC6dMyZjbLDzBypGQxmZ2kxJJS6rY02FQqM+LjYc8eaNpUbpcuLcHmmTOS7DNwoHYhURliMZtypLyR1QpLlsD48ZKkDVLC9Z13pGwrwL7z+5j02yR+OPhD2nMzWfAv7p90O1cSmwxDDpIGBsrxk7gbfdVLlpTuPsOGQaVKWX9+pZTDaLCpVEaEhNjLFoWHy7t4iRuBwvLlEnTqNrlysA0bYOxY+TwEUiNzxgzo00cWAo9cOsLk3yfz9b9fY2BgwkTHir04EurN6YTP080wz9HEpuvXYdkyCTL/+cc+3ry5nMV87DGpLq+UyrM02FQqPTabnBObM0d6KSeWVildGg4ehDZt5Lavc/SyVgXX3r2S7LN+vdz29oYRr4XQrucR6vhW53SklWmbp/H57s+xGvLv+JFaj9DVbyRvrbyGGShPu3QzzC1mE5N61CZgaRAm0k5smtSjduaOARw/Lq+thQvtRT7d3aFvXwkyE3cPlFJ5nmajK5WWbdsky/VYsiLW7dvLVl6vXlpaRTmF0FCYMEGaTxmGHBkeMQIq91rA6E32/uVmkzkpyHyg+gNM7TiVBmUa0Wbmr5nKMF+3LyxVYpNvZhKbbDaJiGfPhrVrZdIAlSvLOeeBA2XbXCmVJ2g2ulKZYRhSGzMxs7VKFeny4+0tGa/DhmkvZeU0oqIk0ee992QXGqTC1owZ4F4qhEofpOxfbjWstK7QmlldZ9G6QmuALGWYZzmxKTwcFi2SlczkH+C6dZPo+L779BiKUvmYBpuqYIuKkgLRc+bIGcxNm2S8TBnpW96ihRQkVMoJxMfL0eHJkyVhG+DuuyX5p2VLuBJzhefXvp5mdvkbnd5ICjQh6xnmmUpsCgqSs5hffQUxN57Hx0e6ZwUEaPcspbJLXBz8+KPUm3XChRENNlXBtGePlFVZulQ6koB09Dl3zp5N3qmT4+anVDKGIc2nXnkFDh+WserVZXWzZ0+4Fn+VGX98zKy/ZnE55nIaz2Dm9PmiUNk+kmMZ5rGx8P33EmRu3Wofb9BAVjH79dMPcEpll3Pn4N135SzNhQtSFWXuXEfPKhUNNlXBsn69VLhO/iZYo4assgwYAMWKOW5uSqVhxw7JMN+8WW6XLAmTJsl7itUUwwfb5jBjywwuRF8AwNVWEXdrXa66rEvKLi8RP5KJP5yllGdY0tnKbM8wP31a3uQ+/VTe9EAOkT76qASZrVtr3VmlsltCgpynsVqhXDk5AuaENNhU+Z9h2N/kLlyQQNPFRXooBwRI8UF9E1ROJjgYXn9dqgKBVP8ZNCqEe/sdoU75SizY8zPTN08nNEqKaVYrVg1T5GPEXW+JCQveCY8lZZe7IEk3U1YdoGvtsljMpuzJMDcM+PVXSfhZuVISgADKl5doePBgaVOklLpzx47Jh7nQUCmmC/JamzIF6taFBx6Q9zYnpNnoKn+Kj5c3v7lzJflg9GgZj4mBDz+UpB99E1ROKDwc3nhD4re4OPkcNGAA1HlyAa/+mbqtZAWvCkxsP5EaRbvz5IJ/0nlWu68Ht0xx5jJLGeaRkdKj/JNPpGd5oo4dZRXzwQdlVVMpdWfi4+Gnn6TG84YN9vFjx6BqVcfN6wbNRlcFU0iIfPL79FMIC5Ox06dh1Ch51/bwkINvSjmZ2FgJMN94w979tEsXmDULilc5ReUPBmPctOE9tcNUXr77Zdxd3Plpd2iGvs/NCT+ZyjDfv1/OYi5eDNeuyViRIhINDx8Odepk+udWSqXh1CmYNw8WLJBzmSDvYffcI7sGFSo4dn6ZlKVgMzY2ltOnT1O2bFmKFCmS5jUxMTFcuHCBMmXK4KY1CVVO27BB3gRXrbJv5ZUuLW3uhgzRbXLltGw2+OYb2TI/cULG6taVIPOeewxWH1nFI1+MShVoArSt1BZ3F3fgzhJ+bplhHh8PK1bI6+v33+3jtWrJKuaTT4LuQCmVvTZuhDfflK/LlIFBg+T9zEnPZN6OOTMXh4SE8Morr1C1alWqV6/OihUr0rxu0qRJFC9enIYNG1KyZEk+/vjj7JirUulbuFC2Gmw2Kb6+bJmsaL7xhvZTVk5r82YpWdSvnwSa5crJQsauXQaW6htotbAlDy17iOOXj6d67M39yxMTftL7WGVCtscznPATFiZnwSpXlpaRv/8utTAfeUTOae7fL8GmBppK3ZlTp2DiRPs5TIDHH5fjKN9/b38vy6OBJmRyZfP333+nWLFi7Nq1izKJ5WFusmTJEmbNmsXGjRtp3bo1K1eupFevXtSsWZOuXbtmy6RVAWYY8McfchZzwgR7PbHnnpNPf8OGQc2ajp2jUrdx6JCc5li5Um4XKSLtJkePhqCLf9B56Xg2n5T0c09XT15o8QJli5Rl9PrRWA0rFpOFed3n4efll/Sc2Zbws2WLrGIuXy6ZriCvrcGDZfvOzy/9xyulMiYhQbpozZsn/7XZ5BhK//6yE1e4sCyg5BNZThAymUwsWbKE/v37pxhv3bo11apVY0myCL1jx44UK1aMH374IUPPrQlCKpUrV+RT39y5cOCAjD3/vCT7KJVHnDsni4Xz50ulErNPCA8MOMKU56uT4BHGhE0TWH9MGpy7W9wJaBrAq21epUwR+XAfEhnC0fCj+Bf3TxFoJpelhJ+rV+HLLyXI/Pdf+/jdd8vq5SOPaItWpbJDSIh0ZliwQL5O1KmTfJh79FEwZ2rT2aEckiBks9kICgpKFYC2adOGL774Iju/lSoodu6UAPPrryE6WsY8PeGJJ+Dppx06NaVuZrUZaSbaREdLKbyZM+09BBo8s4B/Kw1hFTZWLbU/h4vZhUGNBjG+3fhUAaWfl1+6QWaiTCX8/PefZJR//rm0awVpbvDEExJkNmyY9b8MpVRqL74ouwYgXeueeUZ2De66y6HTymnZGmxGRUURGxtLiRIpD5qXLFmSixcvpvu42NhYYmNjk25HRkZm57RUXhUXJ2WLEv/t1KkjdTH795ee5UqRfoCX29JaUSxb1IPWtiZ8M9eHM2dkrFkzGDsthD7bU5cxeqTWI7zd9W2qFruzkia3TPixWmH1alnFTF5Kxd9fMsqfflqbGyiVHcLCZAWzTx95fYGsXl64IEe+evUCd3fHzjGXZGuwab6x9BsfH59iPC4uDovFku7jZsyYwZQpU7JzKiov2r9f0nInT5ZtBDc3eUEePy5B5t13a1a5SiFLW8Y5NI+ApUEpzkleP16SoN9qsf2CbC1VrizJpS3uPcGINQFp9i8f2XxkuoHmHQfVFy7IG9+cOZKQAPJ6euABWcW85548tX2nlFOy2SSTfN48OXNptUpd2rfflvu7dpU/BUy2BptFixbF29ubs2fPphg/e/Ysfrc4VP7aa68xOrHoNrKyWSGP1ZBSWRQbK1sKc+dK4g9A27b2F+O0aY6bm3JqaQV4AGcjYghYGsSc/o1zJeC02gymrDqQNI+480W5vKkWMSdKAWB2j8ev0wk2fF6I9/5+k6cCPyPeFp/qeW7OLk/ujoLqHTukgOc338huAUDx4lJGZdiwPJ3hqpTTOHcOFi2SGs/Hk1WPuPtuKTlRwGV7UfcOHTqwfv16XnrppaSxtWvX0qFDh3Qf4+7ujnsBWUpWNxw9KlkSixbZt8ktFnjoITnHotQt3BzgJWcg2dfJWzPmpB3B4YRFxJAQ6cGVP+7i2j4/mYHFStHGJynSeieXi3xNnfnriLNKsNi1alealWvGzD9npptdnihLQfX16xJcBgbKuedETZvKKubjj8vZTKXUnUtIgPr14fx5ue3tLfVnhw6Vorkqc8Hm9evXCQ21d6k4d+4cR48exdvbm1Kl5FP8uHHjaNOmDRMnTqRHjx58/vnnnD59mjFjxmTvzFXetXcvNGhgv+3nJwekBw2SPq9K3UZigJceAwiLiGFHcHj6ZxezyYmwWC5vrkHU31UwEizgFYJ7w6141Y0kttjPnHVZiWGKASu0qdiG6R2n075yewACmgXcMrs800F1cLBsky9YIH0vQc6EPf64BJnNm+fY34NSBcbFi7Ijl9gwxMVFzmVu3y4B5uOPSyLrHXKW8+jZIVOlj/766y8GDBiQavyxxx7jzcRK90g9zrfeeotTp05RvXp1Jk6cSOPGjTM8KS19lM+cPi3lVO6/X24bhnwKrFBBtvHuv19erEpl0E+7Q3lh2e7bXvdhn4Y81DBnPsDEx8uO2bgJNq6Ey1lHl04fktB2NJhs9mgQcLNV560ub/Bim0cxZeLc8dZjl+j76bZbXmMybKypcZ1aPy6B//1PXl8AFSvKWedBg+DGYoBSKosSa9DOnSuF1uPi4LffpIkIyC8EV9ds+3bOch79dnKk9FHr1q05evToba9r37497RP/B6iCyWqFn3+WF+bq1VK1+swZKVRrMsk5Mt3GU1l0J60Z75RhyLn/V16RykFgxqPkNQp1Xs/lmqPAdCPYu1FZvXjcc1Qv8iDP3905U4EmpO5jnpxXzFV6791A/91rqHI5zH7HPffIKuYDD8jRFKVU1l2+DIsXS8LPwYP28caN5X0uUTYHms5wHj076XKSyl7nzknryPnz7Y2eQV6Y585B1RuZthpoqjuQ2JrxbERMmlvMJqBsZlozZtD27TB2rD2XrVQpGDcplkO+HzJ/71v2QDPZRFzxZfKDdbK0/ZVWsFz73HGeDFpNzwO/UyhBSsYlFPXCZeAzUroon9frUyrXHDwo710xNz70eXpKb9mhQ+X8cw5wpvPo2UmDTZV9vvpKavQllr7y8ZHbQ4dqC0mVrbKlNWMmHD8Or78uOTcAHh7w4ugE/B5YzNs7pnDq31Ok3ZTczKye92R5FSIxqL4UHkW3w38yIOh/NA21r64cLFWZn+7uydjF06BokSx9D6XUDZGRsG8ftG4tt2vUkJyCQoXkyNcTT+R4jWdnOo+enTTYVFkXHi5dRxJLp7RsKVl5LVvKC/Oxx3QFU+WYbnV9mdO/cepC6tl4rik8HN54QyoHxcXJCZAnn7LS9Olv+HjvZI5sOAKAbxFfxrcbjwkzI9eOxGZYMZsszH1gLk82aZLl728JDWFp8Cq8v/yCktFXAIg3W1hb426WNH6AneVrM+fJJlg00FQq6/75x96pzt0dQkPlE6XZLOc0S5fOtRrPtzo6k5XrnIUGmypzDAO2bZMX5jffSIefH3+U+6pWlZJGVe+s+4lSGZWp1oyZEBsrAeb06XDFFgLljnB3bX8eGbmTBcETWPzbfgBKepbktTavEdA0gEKu8sGqR43ut+1ffkuGAZs2Sdmin36i2o1zYRe8SrCkfje+bnAvF4rIiuccJ0sWUCrPuHpVgst58yTYTFSxIpw8KauaAGXK5Oq0HHkePSdpsKkyJjISli6VIPPff+3jISEps/A00FS57JatGTPJZpPPUK+/fuPIcaMF8OAQMNn4E/hzh1zn7e7N2NZjeb7F8xR1L5riOTLSvzxNkZGSiPDJJykTETp0gBEjKN7jQVqFRFEtH5RBUcqhli+XnuRRUXLbzQ0efVSOfLVt69BOdY46j57TNNhUtzdjhuwlXrsmtwsVkppiw4ZJo2dtIanykPRq1/3+O7z0kr0GepnqIZx/aAgGKdtKPtf8OaZ0mEKxQtnUP3z/fgkwFy+W1RaQqg0DBkjCz42i0BbIU2e0lHIa16/DlSvge2MXoE4dCTT9/SXAfPppKFnSkTNMktvn0XOLBpsqtWvXpGSKx41lei8vGatVSwLMJ5+EYtn0RqtULkqrdp1PbHEK7W7Ett/k33uRItDv5W3sKDWCc+dS9y/vVavXnQea8fFSPykwUGr1JapZU8oWDRggrzulVNYdOiTb5J9/LiXBEjP8ataU8ntNmsi5TCeTG+fRc1umirrnFi3q7iD79skLc/FiePdd6Z0MkgS0Z4/DtxeUuhM3166zXnPjypa7uLqnAhhmzBaDXgF7iGgygQ0nV6f5HBaThRMvnsjaNjnA2bNSCX7uXKk7C/Jm99BDMHIkdOyorzGl7kRsrOQRzJ0Lv/9uH69eXd7j3NwcN7dMygsdhHKkqLvKh2Ji5PzK3LmSdZdozRp7sOntDe3aOWZ+SmWD5LXrbPFmIv+uSuT2ahhx8ivQvfFmPLpN4Xu3X+EkmE1mnm7wNHeVuItxv467bf/yWzIM+PNPWcVcvtxeGqx0aWnTOnSodNNSSt2Zjz6SrL4LF+S22Qzdu8uO3D335LkmB9l5Ht3RNNgsqAxDWqAsXAiXLsmYxSIrLMOGQefOjp2fKtCy+xP9juBwzlyO4do+P678UQOr+SKU+wMX7zhcOn9ATNGfiTXZMGGiT90+TO4wmbtKSHH0J+o/kbXs8mvXpPZsYKDsDCRq1UpWMR95RMqsKKWyJvGDW2KCakKCBJrlyskHuUGD9IOck9BgsyCxWu2f7Ewm2VK4dElejEOGwMCB8iJVyoGyuyewYcC6dQZhn7cl/oKXZJj3GAJmGwkGJNyIYQtZWzKjyzReaNcl6bFWm8HpC4WIiKrOaasHvkWM2we9R45Iws+iRXIEBSSprl8/OY/ZqFGmfwalVDKnTsFnn8mfmTMljwDgqaekIkr37uCi4Y0z0TObBUFwsJwT++ILqZGZ+Elv2za4eFFqZeax7QWVP6XXEzgxvMtsT+Ddu6W95MaNNwYq/A0Dm6fs9mNAqdiJeBrN+Xpwy6Rtq0wFvVarHD0JDIT16+3jVatKRvkzz0DxvFWqRCmnYrXKa2vuXPjf/6ROGUhguWqVY+dWgOmZzYIuIQFWr5aEn/XrZXkHYMkSKSII0ulHKSeRnT2BQ0Jg/HjJdTMMcPW6hFuv8VyrtCB1W0kTmE0e+HrZa9elF/SejYghYGmQPei9eBEWLJA3wBMnbjyfST7AjRwJ997rlNmuSuUZhgFvvSXvZSdP2sc7dpTzzg8/7Li5qQzTYDO/uXIFPvhAthdCQ+3jXbvKC/PBBx01M6VuKTt6AkdGyvvS++9L7hvukdR99n1OlHuPq/GR9idKsbJpxtVWLql2XUaC3m/n/MA9UTswf/uNZL+CrFwOHAgBAdrcQKk7YRj2qgwmk2xNnDwpJfeeflqOfdWs6dApqszRYDO/MZvhnXckOaFUKdm+GzxYitcq5cTupCdwfDzMnw9TptxIRHW9RuUnAgmvPZN98eEQDw3KNKBn1VEs3rGX4IQPwGQDw0xVl1EE9r8naWs8vaDXPSGO7gf/4Mldq2kYdsR+R+PGsorZp4+czVRKZc2lS1ITc+FC+OUXKFtWxseNk/OYvXvrayyP0mAzLwsLkxfl339LXTGTSQpBv/GG9HN9+GHNdlV5RlZ6AhsGrFgBY6aEEBxxBOIrUrrH/4hr8SYnEs5BPNQoUYOpHafyaO1HMZvMTOhisHrf0/x7/hD1Steke926Kbblbw5m/SLO8cSutTy+92eKX5fV0ViLC+e7PUiF8WOhRQutjalUVhkG/PWXHEX57jv7TsGiRfDaa/J1p06Om5/KFhps5jU2m3zimzdPOpAkJMj4jh3ypgfwwguOm59SWZTZnsDbt0t7yS3XFsBDkl0OcB4gAar4VGFyh8n0q9cPF7P9V53FbOKh+vV4iHppzqN0UQ9Mho22wbt4ctf/6Hz0b8w3ZhTiVYqvGt7HN/XvYfaL3aiQT2rgKZXrrl2TVcy5c6UySqLGjaX8Xt++Dpuayn4abOYVFy7IJ7358+HYMft469bywqxf33FzUyobZLQn8IlgE6+/Dt9+C3idhFGDwZQyPJ3RaQajW4/GzZLJbiGXL9Pipy/YvOA9Klyyn3n+o1JDFjfpzq/VmmEzW1IEvUqpLIiNlU+LMTH20mDDhkHTpo6emcoBGmzmFdu3SxF2kK3yAQMk4aduXcfOS6lsdKuewKPa1mH9grI8GAjxCTao/QOFHx7DNVPqddCWFVpmLtDcs0fKFn35JeboaCoAkW6eLK/XmSWNHuB4CSnmnjzodba2cUo5rWvXYNky2LpVkldBEupeeQVKlJA6mT4+Dp2iyllaZ9MZhYdLTUx3d6nRB1Jj7JFHJJv88cehcGHHzlGpHJS8g5C3mwfbVxdnxpsmIiIMqL6Gog9NIKrIrjQfm+H+5XFx0j4yMFDaSSaqVw9GjGBDo85M/OVkthWXV6rA2b9ftskXL5ZSEQBBQdrYIB/ROpt5TeIh6XnzZH8wNlYy8QYPllZcFotkQijlJLK7pWRyFrOJFlVKsGwZvPD6jfJ6VX7Bc8B4oktsIwoo6laUUS1HUdKzJKPWj8p4//LQUHmdzZ8P587JmIsL9OolWeVt2oDJRFegU9NqOfYzKpUvxcbKh7i5c+GPP+zjVavKblzFio6bm3IYDTYd7coVKbQ+b558CkzUsKG8MBO7JCjlRLK7peTNfvsNXpgQwt6QI+ARgduQj4grt4looJBLIZ5r/hxj7x5LSc+SADxc6+Fb9y83DHnSwED50Ga13pi0r7zOBg9Os1WrxWxKt6anUioNa9bAE0/I1xaL7MYFBEDnznmmwUFOfpAuqHQb3dFGjpQ3QJBD0n37yptfs2ZaTkU5pexuKZncgQNyjGt1qL1/eSI3ixtDmwzltTav4Vs0g88fFSUf5gID5ckTtWsnfcofflh2DpRSmZeQIK0iY2OlzixI0ds2beCBB2DQIChf3rFzzKSc/iCd32Q0XtNgMzdFRsKXX0qbyMQzK3v2QP/+EmD276+HpJVTs9oM2sz8Nd1OP4nliba80ilTKwFnz8KkSZI7YKu0EQZ0TdHlx4SJrYO20sKvRcae8MAB+OQTOSsWFSVjhQtLIsLw4XIuUymVNSEh8mL99FM4cwb8/CA4WI6j5GE5+UE6v9Izm85k507ZJv/qK4iOlkzyL76Q+xo0gL17dRVT5QnZ0VIyuWvX4N134e234Zr7Eeg5Gep9lap/uYHB9YTrt36yhASpPRsYCJs22cdr1JBVzAEDwNv7tnNSSqXBZoOff5azmKtW2Y94lSolCyUxMVCkiGPneAcy0qZ2yqoDdK1dVrfUs0CDzZwSFQVffy1BZlCQfbxmTWjVKuW1GmiqPOJOWkomZ7VK2diJEyEs+hR0ngoNPwezNc3rLSYL/sXTabl67pyssMybJysuIGfDHnxQgszOnfU1ptSdevll+WSYqH17qYuZTzrVZfcHaZWSBps55e674d9/5Ws3N3j0Udkqb9tW3/hUnpWVlpLJGQasXSvvW/tPhkHbN6HpfLDEAfBA9QeY2nEqu8J2MXT10PQzzBOrNwQGwvffyzkxkFWWwYM161WpO2EYsGWLVESpXl3GHnsMFiyQHuVDhkDt2o6dYzbLrg/SKm0abGaHa9ekp2u/fhJYgtTCjI2VF+VTT0HJko6do1LZILMtJZNb91cIr797hF1bSkCDpdBzNrjK1ninKp2Y1nEarSu0BqCxb2Pu9b83dYZ5dLQcRwkMhN277U/esqWsYvbunS9WWZRyiIgIOec8d66cex4yRHYMQJJWz5yRRNZ86E4/SKtb02DzTuzdKy/EpUsl+cfTUz79gbThev11XcVU+UpGW0omP9N06hQ8PnMB20oOgfo2qGe/uJVfK6Z3mk6nKp1SfS8/Lz97kHn0qCT8LFok5cIAPDzkA96IEdJPWSmVNTt3SoD59dfygQ7k/Sx5YGkyZTrQzEslhO7kg7S6PQ02Mys6WlYx586Fbdvs41WrprxOV1dUPnWrlpLJy4NERMBbb8G7nx8mfmiy/uU33mu+6PkFT9Z/ElN6H8isVtlzDwyEdevs41WrSt2+Z56RVndKqax76CFYudJ+u04deX31739HCXV5rYRQVj5Iq4zTYDMzzp+XzNbElRUXF+jZU86HdeqUZwrWKnWnutX1pWvtsmmuWsTFyYL/lDdiuFRlLjw1xR5oJlPRu2LagealS7BwIcyZI+VUQFZV7rtPVjG7ddPXmlJZdegQ+PvbyxQ1bCgf5h59VILMu+++4x259EoInY2IIWBpkNOWEMroB2mVeVpn81auX5fthbZt7WN33y3nVgYPhoED5QC1UgrDgB9+gFdej+OY10JoNx28QtO8Ns3+5Tt3yirmsmVSRgWgWDF5nQUEQLVqufBTKJUPxcXBjz/KB7jff5cSYQ8+KPeFh8suQqlS2fKtcqoWb27KS9v/jqZ1Nu/EgQPSN3nxYtk2Dw21b9ctXw6lS+vKilLJbN0KY8YmsPXql3DfFCgmK5IVvCowsf1EbDYbw9cMT51dHhMjx1ICA2H7dvsTNmok3bX69JGzY0qpzDtxQt7LFiyQnTmQ9669e+3BZvHsPYOYH0oIaZva7KfBZqKYGCmhMm+elHxIVKmSJCckBpu6kqlUki17Qxj33mE27z8MLT+CkocBKFO4LOPbjWNw48G4u7hjtRmUcWvFv+cPUa90TboXLQqvvSZdSC5elCdzdZUEuxEjJLtck+uUyppr1+S1tHatbDkA+PrKjtzgwdLxJ4doCSGVFg02AX79VUqmhIfLbYsFevSQs5hdu8ptpVSSS5fg8Zmf8YvnEKhiQBUZ93EvzuttX2VE8xF4usqKZFKiwJXrtDlxmOa73oOjO8C40YHEz0+KQz/7LJQp46CfSKk8LjravgtQuLA0OzAM6NJFjqH06CEf6HKYlhBSadFgE6BuXen4U6GC/Sxm+fKOnpVSdyy7zx7FxMCHHxpM/uFrYu4bnKp/+V+DtlCrVK2ksXX7wnh5wR888u9G+u9aQ7Vw+xnOLZUa4DnqeRqPGJDneyor5RCGIWcw58yRVpInTtgzyAMDZYs8sSh7LtESQiot+hse5Azmtm3Sp1xXMVU+kZ2lR2w2KcE3+sM/OF9nPNy/OdU1Bgbnrp1LCjate/Zyfcg4tu7aSOF4mUOUWyGW1+3MkkYPcLxkBcpGe7DFbEFfdUplwpUr8MUXUoLv0CH7+Nq1cs4ZoEULh0wtt0oIaRJP3qLZ6ErlQ+mVHkn8VZxW6ZH0fnlv2gQB0//mcLkJ4L8eAAtu2IjHSPYdLCYLJ0YcwW/jDllV+eOPpPv+K1GRxU2682PtDlxzT5nw8/XglnoYX6mMOHUKpkyRT37XpfsWhQtLTcyAAFkwcRI5WWczr9XwzM80G12pAspqM5iy6kCaW1gGEnBOWXWArrXLJq0EpPXL2zumBLb/LOzzfgPa/QSAGReeaTCIyZ3Gs/7o+pT9y23341e3NZw9C4DNYmGtf0uWNH6AbRXqpZvwo4kCSmWQxSIrmlarHP9KLL7uhIsyt6rFeyfyag3Pgk6DTaXymcyWHkn+yzuBi8TGXuDq3gqcLLYUmn8DJgOTYaZ3jf7M6DaJqsWkW9agRgO596I3R7+ajf/KLfhdXiXfoEwZGDqUXff0ZsSqk7edryYKKJWGgwdlm/zcOak9C5JL8O670LQptG7t9BUbsruEUFY+SCvnoMGmUvlMZkqPJP/lHWls5HKhj6CQDdqStOfuHd+JLc99TN0ytWXg6lVYuhQCA/Hbt4+kIipt2kjZol69wM2NhjYD383nNFFAqYyKi4MVKyTh57ff7ONvvmlvifzCC46YmVPIDzU8CyoNNpXKZzJTemRHcDhnLsdw5VgEkfU+TNm/3IDSsVMoZDQh6moZuHwIPvlEtvEiI+U6T0944gkJMm86L6a9hpXKoNOnpcbzZ5/JSiZI8fUePWSrvHJlh07PWWgNz7xLg02l8pmMlh5pVrk4L88+RMh/67DVm5e6f7kJLIaFe/7bSrUnZsJ2e8IP1avD8OHw9NPg45PuXLTXsFIZsGEDvPGGfF22rL34eoUKjp2Xk9EannmXZqMrlc0yW5IjJ0p4JJ7DhLRXFAMa3MUnGz/nZNkPwe0aSRcmr5tpmNg+vxjNwm40OzCboXt3WcXs0iVTLVu1TIlSN1y4AAsXSiDZr5+MRUdLyaIBA+Chh3Kl+HpelNh3/XYfpJ2573p+k9F4TYNNpbJRZkty5HZ5EG/DlajLfxJc4kPwiADANbI+3qbHsLmd5bJbIIbJwGKDeatg0C644umF18hhmHU7T6msMQz48085i/n993I2s1Yt2L/f6ZN8nM3tPkhrNnru0mBTqVyW2dqWWamFmVlWm8Hqffv489ge1m7Zxz6Xz8DzEgDesXV5u9s0KhWqxy+TPuLJoP9R7PoxjhYH/3C4WPguljR+gHunPMc9Tarc0TyUKpCioiSZbs4c+Pdf+3izZnIWc8AAbSSSBVpn03losKlULkrc3kkvU/Lm7Z3MXp9VgdvmMnL9cJKvARSKvovxd0/h1TpNMc+dJ1t64bJVHmtxZVWtdixu/AAXatbXX95K3Yl+/aQAO0ChQnI7IACaNHHsvPIBPZrjHLSou1K5KLMlOXK6hEe8NYFBn37AkrNjb+pfbmZ/i1epMm8JrO0n23sAlStjGzaMvZ0extW1MK/pL2+lMic2VrbIW7eGKjd2AgYOhF277KuYt0imU5mT3TU8Vc7SYFOpbJDZkhw5VcLDZtiY9sM3vLV9EjGFj6QINAEMbJwcM5AqJ24M3HuvJPzcfz9mi4VmmfpuSimOH5eyRQsXwsWL8NJLMGuW3Ne5Mxw4oOcyVYGnwaZS2SCzJTmyu4SHYRjM/e0nXv15ApEe+6AwcL0YeFxJUdLIYgP/BC8YNUhWW6pXz9DzK6WSsVphzRo5i7lunX2HwM8vZbkiDTKVAjTYVCpbZLS2ZWK3nMxen1xIZAhHLh2heonqlC9anm+D1vP8igmcd9kJHkCMNz3P3MNnB0+wIuFvhvYAq1kCzXnFB+B36BMoXDgbf3qlChDDkDOXe/bYx+69Vz68PfAAuOjbqlI3y/ZXRVxcHNOmTWP58uWcP3+ecuXK8cQTT/Dyyy9j0k95Kp/KbLecrHbXWRC0gCGrh2AzbJgxU4yqXOIouIApzpOHDjdk/l+HKRX2HQCDXF25t+79HO3dGf92PfHz1iLRSmWKYcD27dCihaxUmkzQoYN0/Rk4EIYOBX9/R89SKaeW7dnoY8eOZfHixXz77bfUqVOHbdu20bdvX6ZMmcLo0aMz9Byaja7yqpyssxkSGUKlDyphM2wpxk3xrjy6pxKzfztG6as3Xs7ly8OwYfDss9KRRCmVOZGRsGSJbJXv3y+9ytu3l/suX5bscg/tVKMKNodlo2/dupUePXrQ/saLsnv37rRr146tW7dm97dSyul0q+tL19plM1ySIzPXrzuyLlWgCfDND/H0PnhUbnTsKAk/Dz2k23lKZcWePRJgLl0K12501/L0hP/+swebxYo5bn5K5UHZ/m708MMPM3v2bI4cOUL16tUJCgpi+/btfPTRR9n9rZTKspys0ZbZkhy3u/7QxUO8+NMk1od8m/qxNmh12RNGPCO9ymvXztKclSrwzp+Hhx+Gv/6yj9WqZS9b5O3tuLkplcdle7A5ZswYQkNDueuuu3BxccFmszFjxgz6JfaATUNsbCyxsbFJtyMjI7N7WkolySvdJ45fPs6ra6fw/X9LMUw2TAY0C4Wd5cCWmPDj1Q+/w3NAj5solXmRkfbXTsmSUrrIxQV69ZIPb+3aaUa5Utkg24PNyZMn880337Bx40bq1avHtm3bGDBgAMWKFWPw4MFpPmbGjBlMmTIlu6eiVCrptYg8GxFDwNIgh/XVTZ5hDjDpl+l8vmcBNlMCmKDnQZi6CepeshD66D0cfbwr/p0e1YQfpTIredmiv/+GU6fk/KXZDIsXQ6VKes5ZqWyWrQlChmFQtGhRpk6dmiIZ6OWXX2b58uUcO3YszceltbJZoUIFTRBS2Sq3WkRmVvIMcxMmzIYZq8kKQLcjEmQ2iCmD24ghWJ8dzI54T23RplRmnTsHCxZIAfZTp+zj69ZJ6SKlVKY5LEHIMAzc3NxSjLm5uXGrmNbd3R13d/fsnopSKeR0i8isCIkMSQo0ZQ4GVpOVFqdh1gaoVehuSswagenRR1j33yWmfOn82/9KOZX//oPJk6WVZHy8jBUvDs88I2WLtLGBUjnOnJ1PZjKZ6N69Ox9++CH79+/HMAz+/vtvPv30U3r06JGd30qpTMupFpFZFRkbyYQfn08zw3xw2P20/H4XJQ9twdSvL+v+u0TA0qBUwXLi9v+6fWG5Mmel8hzDgK+/lkCzRQv4/HMICYF33tFAE9nx2XrsEj/tDmXrsUtYbdlaDVEpIAdWNufOncvLL79M+/btiYiIoESJEvTr148333wzu7+VUpmS3S0isyo6JorAJc8x88RXXHKLT3W/xWTh3q/n4erlB8ibwZRVB9LsNGQg2/9TVh2ga+2yuqWuCrZ9++QsZlwcfPqpjNWoIb3KO3aUzj8qSV5JllR5X7YXdU8uISEBlyzU+tOi7ionJJ7ZvF2LyJw6sxl7NoT5nwXwRtQaznnKamaNi1A5uBI/Nz2NYbJhMVmY130egxoPSnrc1mOX6Pvptts+/9eDW+ba9r9STiMuDpYvlyDzjz9kzMVFOvxook+60kuWTPzN56hkSZW3OOzMZoon16LSyolktUVkViRllxf3p8yBU3yx9CWmum/jtDfgCZUum2n+WzfMnh8w9uPqfFY9hKPhR/Ev7o/fjRXNRM62/a+UUzh1SpJ9PvtMamQCWCzQs6fUxixTxqHTc2a6W6Jym0aDqkDpVteXOf0bp9o6KpuNW0cpsssNKHkNLpSW+0pFulLt935ER3/IU7O8uf/+xDJ+fqmCzETOsv2vlFNZvhwSj2eVKwdDhkh71vLlHTuvPMAZkyVV/qbBpipwMttSMjNC9v3FkJWDsZlkzcAwwYUiUOSaO8U2Dyf29Js8M8mDgQMz3k2yeZXi+Hp73Hb7v3mV4nc8f6Wc0qVLkthTvTo8+KCMPf00/PyzBJgPPgiuro6cYZ6iuyUqt2mwqQqkzLaUvCWbDdavxwiczZKINdi6pL4kbs2PDHz0Pl56CYoUyfxcc2v7XymnsmMHfPIJLFsGsbHQsqU92CxWDNaudez88ijdLVG5TYNNpbLq8mVYtAjmzGFTwlHGd4K/mqW+zGRY+OvHejS5gyorubH9r5RTiI6W4PKTT+Cff+zjDRvCoEHy4c6crVX7ChzdLVG5TYNNpTJr1y4IDISvvmJrieuM7wS/VpW7TPEeGCc6QLUNYLZiNlmY32MeTaqnfR4zM3Jy+18pp9G3L6xcKV+7ucHjj0uf8hYttE95NtHdEpXbNNhUKiNiYwlZNp8j382j+h/7ueAJ4x+GNXfJ3SarG8bOoRh/vEaj6r688kQIZWqlnV1+J7J1+18pR0tIgP/9T7bHE7PHBwyAvXslo/yZZ6BUKcfOMZ/S3RKVm3K0zmZWaZ1N5TROn4Z581iw5SOGtI/CZsZeGwTAZoFdA2HzeCp4VeSNN+CJJ3SXT6lbOndOShbNmyevsenTYdw4uc9qlf9aLI6bXwFitRm6W6KyzCnqbCqVJxkG/PqrbJWvXElIYStDXkQCTSBp3+ngw7DxbbwS/Hn9dXj+eShUyHHTVsqpGQZs2SJnMZcvt/cpL1kSPJIlomiQmat0t0TlBg02lUoUGQmLF8ub4cGDAJzyhuFPFsdmDk95rQnM/zzPiCf8mThR3i+VUumw2aBVK8kuT9SqlZzFfPTRlMGmUirf0WBTqf37ZRVzyRK4ehWAs6U9efPpaswrcog4W3iqh5gMC78t96dtg9yerFJ5xLFjUK2afG02Q5060rv8iSfkPGajRo6dn1Iq12iwqQqm+Hj46ScJMn/7LWn4Uv3qvN2vEh8n/Mn1hH/BBm4hnYgLbg53z5IMcyzMf3AebRtkX+KPUvlCfDysWCGvq99/h6Age1A5fTq89x74+DhyhkopB9BgUxUsZ8/C/Pkwbx4hV89wpDhU9zZRtGt33rvfh/fPriAq5ggAhS624vr/phMX3Ilq1WDsoBHc1fIo1Utkb4a5UnleaKi8rj79FMLCZMxshq1b7cFmuXKOm59SyqE02FT5n2HAn3/KasuNxIQFjWDIs5L0YwIKufxC9KloAIpENeLqyulcP3IfJUqYmPghDBsGbm5+gAaZSiU5f17OXa5YYc8iL1NG+pQPGQJ++npRSmmwqfKza9fgyy8lyNy7N2k4pGMThrQPwnajlLGBQXRCNEVjqxO1YgZXDz2Mu5uZF1+BV1/VXT+lUkjewadYMVm9tFqhXTsYMQJ69pRi7EopdYMGmyr/OXJEMsoXLYKICBkrVAj69SMuYAjvXViGbfs/qR4W9fUcONGZ/v3leFmlSrk8b6Wc2Z498rr64w/58ObiAq6usnVesSLUrevoGSqlnJQGmyp/sFqlE0lgIPz8s328WjUYPhzrUwP4MmQNk3/rQ/CV4NSPt1loXbMGHy+Hxo1zb9pKObW4ODl6EhgoR1ESbdwI3brJ1/ff75i5KaXyDA02Vd528SIsWABz5sDJkzJmMskb4IgR2O7pyveHfmDSsrYcungIAG9LGRKOdOJa5W/BbAWbheerzuODyX7ptl7WLhuqQAkLkwDz00/lXCbISubDD8tWebt2jp2fUipP0WBT5U07dsib4TffQGysjBUvTsizj3HkoTb412nH7rO7mfBpU/ac2wOAl0txvPe9wunlIyHek1LV3mbAi0cZ2c+fysXTT2RYty8sVf9gX+0frPKzkBB44w35ulw5GDoUnn1WM8qVUlmivdFV3hETI8Hl7Nmwc6d9vEkTGDGCBbVjGLJ+JDbDluJhRVy9qHB6DAcXvQixXhQuDGPHwpgxUKTIrb/lun1hBCwN4uYXSeKa5pz+jTXgVHnb5cvwxRcQFQUTJtjHR4yATp3gwQflbKZSSt0ko/GaBpvK+Z04IdvkCxbApUsy5uYGjz8ub4jNmxMSFUqlDyqlCjTrXh/OwU+mYo0qgdksizOTJ4NvBuJDq82gzcxfU6xoJmcCynp7sOWVTrqlrvKeXbsk4efLL+H6dfD0lHqZWn5BKZVBGY3XdBtdOSebDTZskK3y1aulViZI1uuwYRI1lioFwM4zOxn+v+GpAk2Afd/0hqgSdO8Ob70lHfMyakdweLqBJoABhEXEsCM4nFbVSmTmp1PKMWJj4fvv5XW1dat9vG5d+eCmJYuUUjlAg03lXC5fhs8/lxWXo0ft4127ypth9+5gsQDw77l/mfjbRFYcWpH2c9ks1C3nz0cLoWPHzE/lfFT6gWZWrlPK4d55B8aPl69dXOCRR+R11aYN6WbHKaXUHdJgUzmHPXtkteXLLyFaOvkYXl6cfbgPB3o+gWe9OkkZ4P9d+o/Jv01m2b5lGBiYMNG5VH/2/VaLs7UmJGWYP1t2HvP+8EuqP51ZpYt6ZOt1SuUqm01KFHl5QcuWMvb005JhPmiQ7A5k5DyJUkrdIQ02lePExcEPP0jCT/IafvXqsb9nf54z1+a/mEsk7PgTl23BlPJyoVS5Vfxy6rukLfN7yvcmes1kNv5YG4Ci5Z+k74ijjB3kj3/pO2uV17xKcXy9PTgbEZMqQQjsZzabVyl+R99HqWyVuDswZ440OLjnHli/Xu4rXx6OHyfLn8CUUioLNNhUuS80FObNg/nz4dw5GXNxgV69YORI1vlUI+DLXURafibc42MwGWBAaJwZTkqQ2aVCdwrvmMaqqQ2x2SRZdvhwmDDBjxIlsqcfs8VsYlKP2gQsDcIEKQLOxA3HST1qa3KQcg67d9t3B65flzEvL6hZM2WLSQ00lVK5TLPRVe4wDPj9d3kz/PFH6fgDso03dCgMHgzlyiVlgJ+OCCHU4xkJNJNxj6+D179TubrhYa5flyCvd2+YMUOaBeUErbOpnN7QofLhLVG9enIW84knbl/fSymlskiz0ZVziIqCJUsk4Wf/fvt427YwcqR0JElWw29HcDghERe57Pp5qkATIO7797hw+B4AWreWfIdWrXL2R+hW15eutctqByHlPE6flhJFRYvK7RYtYOFCTfhRSjklDTZVzjh4UFYxFy+WgBOgcGHo31/eDOvVS/WQqNgoAne+zRmPQGyma6mf02bBCKuNS7FrjBkXw4zRJVK8n+ZkS0mL2aTljZRjGQb88ou8rlauhA8+gOeek/v69oX77tOEH6WUU9JgU2WfhAR5EwwMhF9/tY/fdZcEmE89Bd7eqR52Pf46c3bOYcaWGVyMvggmcLVVxCWqCdeLrkzKLjetD8SneQRFG+7loZ4tUgSautWt8q2ICOnw88kncPiwfXzvXvvXhQrJH6WUckIabKo7d+4cfPYZzJ0rPZVBkhB69JAgs3PnFEkJIZEhHLl0hEo+lVh3dB3TN08n7GoYAP7F/Yk/048LKwcRfaAieIVAycMUqeBGsVbRWNxPpMoAT6+l5NmIGAKWBmlLSZU3GQY8/zwsWgTXbqz0Fy0KAwZINlzt2o6dn1JKZZAGmyprDEM6kAQGwnffQXy8jJcsKck+w4ZJt5+bLAhawJDVQ1J1+6noXZGXmk7ixE8D+OhDCwnxsmxZuAL4tAMXr8g0M8CtNoMpqw6kWZrIQLLGp6w6QNfaZfWMpXJ+VmtS0wJMJqnccO2aBJYjRsCTT9rPaSqlVB6hwWYBkK1nGaOj4auvJMjcvds+3qKFJPz07g3u7mk+9FTEKQavGoxxU2g4ue00PHePZdKD7ly+LGMNW8RibbabyMIXk64rm8a2uLaUVPlCaKhkk3/2GWzebC+tMHGirG62b68JP0qpPEuDzXwu284yHj0qRaIXLoQrV2TMw0MSE0aMgCZN0n2oYRj8dPgnRq0flSrQBJg7rg1nt0mAWqcOzJoF3bq5YzOa3zZI1paSKs9KrxzYokUwfbp83bChw6anlFLZRYPNfOyOzzJarbBunXT4WbfOPl6lipwZe+YZKJH+aqFhGPx87GfGbxrPzjM7077IZuHsAX98fWHqVOmm53LjX6XFdPsMcG0pqfKc69elw09gYOpyYCNGSDkwpZTKRzTYzKfu6CzjpUuygjlnDgQHy5jJBN26yZtht272c2Xp2HxyM+N/Hc8fp/4AoLBrYV5o8QJcK8OMoNEYJskwd/t5HuPG+DFmjFRGyixtKanyHMOA11+XHQJPTzmHOXw41K/v6JkppVSO0GAzn8rSWcadO2W1ZdkyiLnx2GLFYOBACAhIt0VPYnZ59RLVCY0MZcKmCWw4vgEAd4s7I5qNYGCNV/hkVmnmzTMwCvfCVOIIXe+uwMLl1ShfLus/p7aUVE4tIQFWrYL//Q8+/VQ+tHl6woQJsoSfTjkwpZTKTzTYzKcyekbx4sUr8NcaCTK3b08av1q7HkceHUBc78dpWtsv3WAtvexyF7MLgxsPZnTTcXy7oDyteifWdjdRqJQrPh3MHC55mEe/OHnHtTC71fVlTv/Gqc6mppVQpFSuSCwHNm+edPsBaR3ZsaN8PXq04+amlFK5TIPNfOp2ZxTLR5znid1r6DZ/E1y+JIOurpy5pweTKnRgg1cViDXB0r34ev+XZtAWEhmSZqDZu3Zv3uw4ky2rq9ChiSTaAriVvUKxjgfxqBiedG121cLUlpLK4W5VDuzZZ6W5gVJKFUAabOZTaZ1lNBk27j6xhwG7/kfnozuwJAaJfn4wbBi/3t2DQetOZyih6Pjl4wT8LyBVoAnQ3DScR7tUYc8euV2xooFby/3EVT6ZqnpLdtbC1JaSyqH+/FOSfBK1aCFnnHv3lsoNSilVQGmwmU8lP8voFXOVR/b9Qv9da6gWHpp0zcUWbSj5ymjo0QOr2cK4mb/eNqGoll8CM7a8wYJdC0iwJaRxsYWxg/whUo6ijRsHzR4I5+nFJ0kvjNRamCpPOn4cDh6EBx6Q261bS6mihg0lyGza1JGzU0opp6HBZj7WzXaBzceWUfKn7ykUL2cZo9wKsa7xPZR9bTRtH2yXdO2OY5dumVCUwGX2R3/PXR+vI84WC8C91e6labmmvLXlLayGZJezah6u1/0Y8SKMHy+VkX7arbUwVT5hs8H69bJVvmaNJNCFhEhfcrNZkuxuU6lBKaUKGg0285u4OCkQHRgIf/xBhRvD0dVrcuTRAcQ83pde9Srdtjh6AhdJMJ/BZPMi2uU3olxWYZhiwQZtK7ZleqfpNCrejpkzwfXTYVg9j0K4P4918+PN71ImrmstTJXnXb4sxdbnzJEGB4maN4eLF6HCjVeaBppKKZWKBpv5xZkzkvk6fz6cPStjFosUiB4xAs/27Wlwi3Z3yQO9KMvPhLt+DCbDvocOuNmqM7PLmwxv8QgLFpjoPRnOnwfw4+67/Xjna2jZMvVzay1MlactWyblv65fl9s+PtLQICAAqld36NSUUiov0GAzLzMM6aOc2O4u4cYZyrJlYcgQ+VO+fIaeKjEgPBVxzB5oAonFK0vEvUC1wt2pdLEz9eubOHxY7q5eHWbOhJ4902/drLUwVZ4SFycF10uXltuNGkmg2aCBnMXs1y9rHQiUUqqA0mAzL7p6FZYsgU8+gX377OPJ2925uWXqKRNscTSstZXtu9+yB5qJTGBcqkb0z23pNV4CwpIlYfJkiWddXW///FoLUzm90FD77kD79vDNNzJeowbs3Qt166b/iUoppVS6TIZhpLWz6VCRkZF4e3sTERGBl5eXo6fjPA4dkgDz888TK6RLN5L+/SXIzEK7u3hrPF/s+YKpv0/ldOTptC+yWeCDExDph4cHjBoFr7yStcYnVpuhtTCV80jcHZg9W3YHrFYZr1gRDh/WkkVKKXULGY3XdGXT2SUkwOrV8mb4yy/28erVJcB86ik5Q5ZJVpuVZfuWMfn3yRwNl4SHckXLMaHdBAwDRq4diS1Zhrkpyo8BT8G0afZcCHmezAWPWgtTOY3vvoOpU1PuDrRrByNHyrmQjCzZK6WUui0NNp3V+fPS7m7uXHu7O7MZuneXILNLF7mdQYn9y/2L+7MjdAcTf5vIgQsHACjlWYrX277O0CZDMdsKERgIRT/rToRFMsy7NPdjVpCUD0xu3b6wVNvivrotrvKKkBAJND094ckn5XVVr56jZ6WUUvmOBpvOxDCkP3lgIHz7rSQqgL3d3bBhUKlSpp82vf7lPh4+vNz6ZZ5r8RyFXYvwzTfw+usQHAzgR926fsyaA/fem/qo2rp9YQQsDcpQtyGlHMpqlZqYs2dLUNm/v4w//bT8w3766SztDiillMoYPbPpDK5fh6+/liAzKMg+3ry5rLY89liWz46FRIZQ6YNKqQLNF1q8wOQOk/Hx8GHzZnjpJfj7b7mvXDnZLn/qqbTLBlptBm1m/ppuEfjEUkZbXumk5zGV41y6BAsWSG3MEydkrEUL2LbNodNSSqn8wqFnNuPj4/n0009Zs2YNJpOJfv360bdv35z4VnnbsWPyRrhwoRSNBnB3hz59JMhs1uyOnn7r6a2MWDMizf7lPWv25OwJH556BVaulLEiReDll2H06FtXdtkRHH7LbkPaflI5VFCQrGJ+/TXE3Ph3WqyY7A4EBDh2bkopVQBle7CZkJBAt27dOHPmDJMmTaJUqVIsXrwYd3d3evXqld3fLu+x2WDdOlnFXLtWts4BKleWN8KBA2Xb/A7sCtvFhE0T+N+R/6V5v8VkYeE7/nw1V3YYLRYYPFhKGZUpc/vnz2hbSW0/qRxi7Fj49Vf5ulEjSfjp00fOZiqllMp12R5szp49m+3bt3P48GHK3ygo3rlzZ2JiCnjgER4uK5hz5sDx4/bxbt1kFfO++zLV6i6tLPDDlw4ycdNElh9cDkhQ+XTDp7mr+F28/uvrWA0rJiy4rJ3Hkm1+APToIUXZa9XK+I+i7SeV0wgJkdqYI0ZIMwOAF16Qr0eOlJZWWhtTKaUcKtuDzSVLlvDQQw8lBZqJPApqvbqgIFnF/Oor+5beHba7S8wCPx0RQoL5DBgWrJ4buGT7BQMDEyb61uvL5PaTqV6iuqxeHuzHjHlHuXTEn9hIP5o2hXfekdrVmaXtJ5VDpVUb080NJkyQ+x98UP4opZRyCtkebB44cIDHH3+cqVOnsmnTJkqXLs2jjz5K7969031MbGwssbGxSbcjIyOze1q5KzZWavgFBqZMRmjY0N7uLotbeolZ4JGWnwn3SNa//MaxzLvL3c/ch2ZSt3RdANavl13Ff//9f3t3Hhdltf8B/DMMq4qIqIBACu4goiIqtpi7puZWIhnlRrjkcm/erv2yzDTLrLTcLdIUxTbFXHLfBRVDEW9uGG6JIbLv2/n9cWQQGRBxHoaBz/v14vVizjznmTMPD8yXs3yPIwBHNG0KLFgF+Pg8UeakYrj9JOlFWhqwcaMMMh/Ojdm9O9Cpk/7aRUREZapguKGdEALZ2dlYsGABkpKSMHv2bDz33HMYO3YsPvvss1Lrffrpp7CystJ8OT2cNdyQ3Lwpcwc5OckUKydPysTQvr7A8eOyl3PChAoHmvkFAnO3/4ksXEOCyTcl9i9vlPUR8uP/jTYN3BAZCfTtK0fpo6JkZ+qiRXITIl/figeahQq3n7SzKt5jbWdlzrRHpHs5OXIUYOLEotyYAQFyG8nDh+U0FCIiqpJ0nvrIxsYGrq6uOHbsmKbsgw8+QGBgIO7cuaO1jraeTScnJ8NIfSSE3Nln+XK5rLvgQRejg4P8YPT3L9+qm3LY/edV+Gx6DynGvwGq3BLP22YvgHFSZ3jEPYvft5hDCBnrvv02MHs2UF+BUW1uP0mKyM8HTpyQO/oUGj9eDp9PmcLcmEREVYDeUh916tQJ9R75ELC3t0dSUhKEEFBpmaxvZmYGMzMzXTdFWcnJwA8/yL3KL18uKu/ZU34YvvwyYKyby5uclYyvwr7CotCvkGmSJgsFisasAUAYIT3sOaQf74a/8+RCIx8fYMECwMVFJ83QittPkk4lJABr18rfq7/+Av74A+jYUT63eLHMz/W03fJERFSpdB5sBgQEYPz48bh69SpatGiB1NRUrF+/Hr169dIaaBqcCxdkL+aGDUB6uiyrU0dmQJ88GXB11dlLpeekY+nppfj8xOdIzJJ5OE0KXFAv1w/5qgQkmCwHVAWAMIJq93KknXoeAODRKRerl5mgSxedNYVIWZGRci7mxo1ykwNA9lxGRxcFm1V9lIOIiLTSebA5fPhwXLhwAR07doSzszNu3rwJT09PrFmzRtcvVXlyc+Wq1+XL5TBeIVdX2Yvp5wdYWj71yxTuX+5k5YSdV3ZiwfEFiEuPAwC0adAGH3Wfi69+q4d/snNQIABE90PSRSMU3HCHSHGEcf00uLx0DWfWtYNx+bMoEenP7dtFc5oLtWsHTJ36VAvpiIio6lBsu8rk5GTExMTA3t4etk84Z7HKbFcZGwusWSPz+MXGyjK1Ghg6VE6E7N5dZzn8Stu/3MXaBXNfnAvftr5QG6mx+0Isxn3+FxIOtUb2bTl8bVQrG/WevQpLj5tY9WYHLs6hqi0nR6YqAuQ/ck2bAnFxwPDhMsh89lnmxiQiMgB63a4SAKysrNC+fXulTq8cIYBjx2Qv5pYtQF6eLLe1Bd56S345Our0JW8k3YD/dn+IR7JWLuy1EP/y/hdM1CYA5BS2dfPtEfujDCZVxvmw9IqBVZdrcGhkjDmDGWhSFSUEEBYmh8pPn5ZpEYyN5Qq2TZuA5s3lojoiIqp2FAs2DU5aGhAUJBcmREUVlT/7rBwqHzGiqDdGRwpEAX758xfM3DuzRKAJAJ0dO8NEbYKEBGD+fPk5nZsrO33eeENg2IQUoI4FGll24ipwqpoyM4HNm4GlS4GzZ4vKjxwBevWS31dkZwEiIjIYDDZv3gS+/BJYtw4oTCZfqxYwerQMMj08dP6SQgjsuLIDHxz6AJH/RGo9Rq1Sw6l2c3z5pQw0k5JkeZ8+Ml+mh4cKgPWDL6Iq5s4d4JtvgO++A+7fl2VmZnJ+5tSpRYt+iIio2mOwmZAgPxQBOZSnYA4/IQQOxBzA7IOzcervUwAAS1NLvOP9DqzN6+Nfe/+FApEPI5UaYxuuQu/Ojrh+XdZ1d5dBZr9+Om8Wke79/TewcKH8vkkTmalh/HjAhmmyiIhqGsUWCD2NSl8gNGsW0KOH7DbUcQ6/whXmiVmJ+ObUNzhy4wgAwMLYAtO6TMN/uv0H4X/laPY6z7iXhrQjLyL3mhsAoHFj2bP5xhtybRJRlZOaKlOBJSYC779fVD59uhwqHziQNy8RUTVU3niNwaaCtK0wN1WbYlKnSZj13CzY1bHT7HWec782Eg+3Rma0HQBAZZoHqy7XsPbLuhjqxUU/VAVdviwX0q1bJwPOWrVkKiNrTu0gIqoJ9L4avTp6kq0Z913bhwnbJxQrU0GFY2OOobNjZ8353t8Ujfg9bZEW6QQII0BVgDrtb6Hes1dgXDsHC/ebY7CnHRf/UNWQnw/s2iUX/OzbV1TeqpVMB6bjRXRERGT4GGyW0+4LsZi7/U/EJmdpyuytzDFnsGuxdENX7l/BR4c/QvCF4BLnEBDIyMsAAGRkADNmZ+Lscm+IHPljsGhxF9bdL8HEJv3B8UBschZOxyRwS0iqGr76Cnj3Xfm9SgUMHiyDzN69mRuTiIi0YrBZDoVD3Y/ON7ibnIVJQRFY+XpHtHbMxrwj8/BD5A/IF/laz6NWqeFs1Rzffw988AFw547cHcXUPgnWPS7C3ClBa7241Cyt5USKi4wECgqADh3k49GjgS++kNuzTpoEODvrt31ERFTlMdh8jPwCgbnb/9SSBVP2PObjPsZsnYgE/I7cglwAwKCWg/Dxix8jIjYCATsCkC/yoVapMbXpagzu7qhJ42nvmI/cDpGo1Sa2zE6hRpbmOn9fRKXKzQVCQuRQ+bFjcuHc3r3yucaN5UpzY/7pICKi8uEnxmOcjkkoNnSeh3jkGd2BqqAOMowPIdV4J0RBDgCgt0tvzOsxD10duwIAOth3QL/m/bD7dDR+WNwcS+bInYesrYHZs4GJk4zQa0ki7iZDazCrAmBnJeeGEikuLk5uz7pqlQwoAbmKvH59GYCayJ2sGGgSEdGT4KfGYzw8hJ2q3osEk6WASsjo8EFvpFl+G8x+YS5m9361WN3bt4HZsx2xfr0jhJBrJ95+W2aHqV8fAFSYM9gVk4IioELxgLOwo3POYFcuDiLlzZsnc2zlyH+c0KgREBAgv7iNJBERPQUGm49ROISdg9tIMPmmKAp8EB3a5PwLtQt6opezt6ZOSgrw2WfA4sVA1oNYddQoYMGCklPc+re1x8rXO5ZYfGSnZfERkc5kZ8u5mBYW8rGjoww0u3SR/xG9+qrc8YeIiOgpMdh8DHdHC6DODtzNW18UaBZSAcZoiMZWFujsXB+5ucDq1cDcuUB8vDzk+efleorOnUt/jf5t7dHH1a7caZWIKuz2bTlMvmaNnMsxbZosHzUKaNsW8PLSb/uIiKjaYbBZipz8HARGBGL+sfm4k39H05NZLOAURjApaIwPB7nit20q/Pe/wNWr8qlWreRufS+/XL6MMGojFdMbkTKEAI4flwt+tmyRuTIBuQioMNi0sGCgSUREimCw+Yi8gjxsiNyAj49+jOtJ1wEAz1g9g+HNp2PbuduIyfsaUBUAwgguxv/C2+4D8cmkBjhxQtZv2FD2bE6YULSegkhv1q0DliyRKYwKvfACMHUqMHSonhpFREQ1CYNNyP3LL8dfxqX4S/jm9De4cv8KAMCujh1mPz8bEzpOgJmxGb54SWDHhbGIiruEBrltcOB7N/z7A9ltaWEB/PvfMt+1Ae+wSdXN9u0y0LSwAF5/Xc7HbNdO360iIqIapMYHm99FfIe3tr8F8dBacBsLG8x6bhYme01GLZNamnK1kQrPObjj8Fp3fLxcZoNRqYAxY+RiXi7aJb0RAjh4EFi2DFi0CGjeXJb/5z+AtzcwblxhCgQiIqJKVaODzdspt0sEmiqocHzscbRu2LrYsVlZcsrbJ58AycmyrF8/4PPPS+8oepK91IkqJC0NWL9eBpkXL8qypk1lKgQA6NpVfhEREelJjQ42N545WSzQBOT+5b9d+B9a95DBZkEBEBwsc2PeuCGPaddOdh717Vv6ucu7lzpRhVy9CixfDqxdK3NtAUCdOnIbybfe0m/biIiIHlJjg83dF2KxbG86YK6SSdoLCSMs3ZOGdg1jYXbPHv/5D/DHH/IpBweZ99rPT26sUta5H7eXOgNOqrCcHNlbmZAgH7doIedivvkmYGWl37YRERE9wkjfDdCHwv3O1WiA+rlTAfHgMggj1M99GwXxTeH7qjF69pSBpqWlHD6/ckXOzywr0HzcXuoAMHf7n8gv0HYEkRYpKbIHUzy4Z0xNgfHjgZdeAn7/Hbh0SaYwYqBJRERVUI3s2Xx4v3PL/L6wyO8o9ztPa4q0o92QcP4ZQKigVgsEBKgwZ47cve9Jz62NABCbnIXTMQnMq0llu3hRDpX/8IOcm9mkCdCzp3xu4cLyJXAlIiLSsxoZbD683zkAGOXYIiu8K1JONYPIlZfEosVdfPG5CpOH2j7VuZ/2OKph8vOBnTvlarT9+4vKXV2L9i0HGGgSEZHBqJHBZuF+5wCQddsa8ds6Ij9NlpnaJ8K6x0WYOyWig/uTr+J9+Ny6OI5qkFu3gO7dgZgY+djICBg8WA6R9+jBAJOIiAxSjQw2OzvXh72VOe4mZ8HEOh0FOWoYW2WgXvdLqNU6FkYqwM5Kpip6mnNrm5WpQsXPTdXQ/fuAzYPpFA4Ocj6mtbXcgmryZJnGiIiIyIDVyAVCaiMV5gx2BQAY186Brc8pNJ5wBLXbyEATAOYMdq1QTsyHz/1o7cLHFT03VRN5ecDWrbK3smVLIDNTlhsZyb3Lb9+WCVwZaBIRUTVQI4NNAOjf1h4rX+8IOytzmDVOhsq4AIDsdXza1EQPn/thujg3GbD79+XCnmbNgOHDgcOH5Q4BJ04UHePqCtSqVeopiIiIDI1KCFHlcvCkpKTAysoKycnJqKvwRuNK7vLDHYQIAHD9ukzQunGj3IoKkEPnb70FTJoEODnptXlEREQVUd54rUbO2XyY2kilWAoiJc9NBiQnBwgMlN936ABMnQqMGgVYWOi3XURERJWgxgebRDp17x7w7bdAXBywZIksa9kS+PRT4PnngW7duKqciIhqlBo/jE6kExERMjdmcDCQnS23mbp+HXB01HfLiIiIFMFhdCKl5ebK1eNLlxZf5NOpkxwqb9hQf20jIiKqIhhsElXUt98CU6bI742NgVdflQnYu3ThUDkREdEDNTb1EdET++OP4j2Yr70m0xh9+CFw4wawaRPQtSsDTSIiooewZ5OoLLm5wK+/yqHy0FA5RH76tAwo69UDrl5lcElERFQGBptE2vzzD7BmDbBqFXDnjiwzMQFatZK5MgvTFjHQJCIiKhODTaJHffEF8P77Mj8mANjayuTrAQGAnZ1+20ZERGRgGGwS5eTI4fLateXj5s1lWZcucsHPK68Apqb6bSMREZGB4gIhqrn++QeYNw9o2hT48sui8sGD5bzMkyflIiAGmkRERBXGYJNqnjNngDffBJ55Rq4kj40Ftm0DCvc3UKsBLy/9tpGIiKiaYLBJNcevv8rtIr28gPXri4bKN24EwsK42IeIiEgBnLNJNcfvv8ug0sQE8PGRu/x07qzvVhEREVVrDDapejpzRubGnDED6NBBlk2fLofO33qLq8qJiIgqCYNNqj4KE7B/843swQQAIyNg7Vr5vbu7/CIiIqJKw2CTDN+9e8Dq1cDKlcUTsPv4AJMn67dtRERENRyDTTJsQgDe3sC1a/KxrS0wcaL84lA5ERGR3nE1OhmW3Fxg61YgL08+VqmAsWPlCvOgIODmTeCjjxhoEhERVREqIQqTC1YdKSkpsLKyQnJyMurWravv5lBVcO8e8O23wIoVwN9/y7mZw4fL5/LyAGN20hMREVWm8sZr/ISmqu3cObngZ9MmIDtbljVqBKSmFh3DQJOIiKjK4qc0VU2pqcCgQcDRo0Vlnp4yfdHIkYCZmf7aRkREROWm6JzNCxcuYMKECVi1apWSL0PVRWHPJQBYWsodfoyN5ary0FAgPBzw82OgSUREZEAU69nMyMjAqFGjcP/+fSQlJWHixIlKvRQZuvPnZQL2rVuBq1cBa2tZvmoV0KAB4OCg3/YRERFRhSkWbE6bNg29e/dGdHS0Ui9Bhiw/H/jtNzkf8/DhovItW4Dx4+X3Hh56aRoRERHpjiLB5o8//ohTp04hPDwcr7zyihIvQYYqJQVYswZYtgy4cUOWqdVyZfm0acCzz+q3fURERKRTOg82//rrL0ybNg379u2Dubl5uepkZ2cj+6H5eikpKbpuFlUVaWnAe+/JdEU2NnKf8kmTACcnfbeMiIiIFKDTYDM3Nxe+vr6YNWsW2rVrV+56n376KebOnavLplBVUFAA7NolF/csWCDLGjeWweYzzwCjRwMWFvptIxERESlKp0ndd+zYgREjRuD111+HSqUCAOzduxdqtRq9evXCwoULYWNjU6Ketp5NJycnJnU3VMnJwNq1cqi8cBvJ//0PcHXVb7uIiIhIZ/SS1N3d3R3Lly8vVhYeHg4TExN07doVZqWkrDEzMyv1OTIgly/LAHPdOjlcDgD16gETJhStMCciIqIaRfHtKgcNGgRzc3P88ssv5a7D7SoN0O7dwIABRY9dXeWCn9dfB2rX1l+7iIiISBHcrpKUlZYGxMQA7u7y8Ysvym0ku3SRQWavXsCDqRRERERUcykebE6bNg1qtVrpl6HK8tdfwPLlQGCgDC4vXQKMjABzcyA6Wu78Q0RERPSA4sFm3759lX4JUpoQwKFDMgH7b7/JxwBgawv8/XdR2iIGmkRERPQIRfdGp2pg/36gXTs5LL5tmww0+/eXKY0uXmR+TCIiIioT52xSSUIUzbc0NgYuXJCLfMaMAd5+G2jdWq/NIyIiIsPBYJMkIYATJ4CvvwacnYHPP5fl3bvL+ZnDh8s0RkRERERPQPHURxXB1EeVKDsb2LxZBplnz8oyKysgNpa7+xAREVGpmPqIyhYbC6xcCaxeDcTFyTJzc5kXc9o0BppERESkEww2a6ovv5RfAODgAEyZAvj7Aw0a6LddREREVK0w2KwJcnOBX38FmjUDvLxk2ZQpwKlTwNSpwLBhgImJfttIRERE1RKDzeosPh5YswZYsULmwxwyBAgJkc85OwPHjum1eURERFT9MdisjqKi5IKfjRuBrCxZZmsLeHoWT2tEREREpDAGm9WNvz/w3XdFjz09genTgZEjATMz/bWLiIiIaiQGm4YuOVkGkebm8nH79oBaLfNiTp8OdOvGnkwiIiLSG25XaaiuXJG7+Tg4yOHyQmPGADExwE8/Ac8+y0CTiIiI9IrBpiERAtizB3jpJaBVK2D5ciA9XZYVql2b+5UTERFRlcFhdEMghFxVvmQJcOmSLFOpgEGD5FB5z556bR4RERFRaRhsGgKVSqYsunQJsLQExo2TQ+jNm+u7ZURERERl4jB6VSMEcPQo8OqrwO3bReXvvSfTGd2+LXs4GWgSERGRAWDPZlWRlQVs3iwDynPnZFnLlsAnn8jvX3hBfhEREREZEAab+nb3LrByJbBqFRAXJ8vMzQE/P+C11/TbNiIiIqKnxGBTn7KzAVdXIDFRPnZwkHuWv/UWYGOj37YRERER6QCDzcqUlwccPAj07Ssfm5kBvr7A2bNyVfnw4YCJiX7bSERERKRDDDYrQ0KC3EJy+XLg5k0gLAzo2lU+t3gxYGqq3/YRERERKYTBppIuXgS++QZYvx7IyJBlDRsWX2XOQJOIiIiqMQabSoiLkwt89u4tKvPwkEPlvr5F+5gTERERVXMMNnWloAAwepC21MZG7l2uUgFDhsggs3t37lNORERENQ6Dzad1/TqwbBmwa5fMj2lqCqjVwLp1wDPPAM7Oem4gERERkf4w2KwIIYDjx+VOPiEhslcTAH77DXjlFfl99+76ah0RERFRlcFg80lkZwM//ih3+YmIKCrv3RuYMQMYMEBvTSMiIiKqihhsPomLF4E335TfF+7yM20a0LatfttFREREVEUx2CzL2bPya9w4+bh9e7mFZNu2gL8/0KCBXptHREREVNUx2HxUfr6ce7lkCXD0qNzlZ9AgoFEj+fzGjXptHhEREZEhYbBZKCkJ+P57YOlSucIcAIyNgWHDgMxMfbaMiIiIyGAx2ASA3bvlKvL0dPnYxgYICAAmTwYcHPTbNiIiIiIDxmATADw9gbw8wM1NriofPRqwsNB3q4iIiIgMHoNNQO5XfvYs0Lo1d/khIiIi0iEGm4XatNF3C4iIiIiqHSN9N4CIiIiIqi8Gm0RERESkGAabRERERKQYBptEREREpBgGm0RERESkGAabRERERKQYBptEREREpBgGm0RERESkGAabRERERKQYBptEREREpBgGm0RERESkGAabRERERKQYBptEREREpBgGm0RERESkGAabRERERKQYBptEREREpBgGm0RERESkGGN9N0AbIQQAICUlRc8tISIiIiJtCuO0writNFUy2ExNTQUAODk56bklRERERFSW1NRUWFlZlfq8SjwuHNWDgoIC3LlzB5aWllCpVIq/XkpKCpycnHDr1i3UrVtX8dczFLwupeO10Y7XpXS8NtrxupSO10Y7XpfSVfa1EUIgNTUVjRs3hpFR6TMzq2TPppGRERwdHSv9devWrcsbVwtel9Lx2mjH61I6XhvteF1Kx2ujHa9L6Srz2pTVo1mIC4SIiIiISDEMNomIiIhIMQw2AZiZmWHOnDkwMzPTd1OqFF6X0vHaaMfrUjpeG+14XUrHa6Mdr0vpquq1qZILhIiIiIioemDPJhEREREphsEmERERESmGwSYRERERKaZK5tnUtYKCApw+fRp3796Fm5sbWrRooUgdQ1NQUICoqCjcvHkTLi4ucHNzK/P49PR0bN++vUT5Cy+8gMaNGyvVzEp34sQJ3Lp1q1hZo0aN0LNnzzLr5eXlISwsDAkJCejQoQOeeeYZJZtZ6SIiInDlypUS5UZGRhg5cqTWOvfv38e+fftKlPfr1w/W1tY6b2NliouLw+HDh9G8eXN07NhR6zHXrl1DVFQUGjVqhK5du5aZ9Php6lQlQggcOnQIcXFxGDlypNb237p1C+fPn0f9+vXRoUMHmJubl3nOPXv2IDExsVhZs2bN4OXlpdO2K+3WrVsIDQ2Fu7s7XF1diz1348YNhIWFlagzYsQImJiYlHneixcv4tKlS3BycoKnp2elbIaiS3l5edi/fz8yMjIwfPjwYs/9888/OHTokNZ6ZX32bNu2DZmZmcXK3Nzc4O7urptGV4K0tDREREQgMzMT7dq1g729vdbjIiMj8ddff8HFxQUeHh7lOndF6jyNah9spqSkYMCAAbh+/Trc3NwQGhqKiRMn4osvvtBpHUNz8OBBTJs2DcbGxnBycsKpU6fg5uaGbdu2lZoI9t69e/D19cXAgQNRp04dTXmrVq2qVbC5ePFinDt3Dp06ddKUubq6lhls3r17F3369EFaWhpcXFwQFhaGjz76CO+++25lNLlSREZGYs+ePcXKDh48iDp16pQabF69ehW+vr4YMWIEjI2L/tx07tzZYIPN2NhYvPPOOzhy5AgyMjIwevRorcHm7NmzsXjxYnTr1g0XL15E48aNsWfPnjLfd0XqVCWrV6/GokWLAMigeejQocUCybt378Lf3x9RUVFwc3PD9evXkZKSgh9//BHdunUr9bz//e9/oVKp0KpVK01Zz549DSbYjI6OxsyZM3H27FnEx8fjvffeKxFsHjt2DP7+/hgyZEix8pdffrnUYFMIgYCAAGzevBne3t44e/Ys2rdvj23btsHCwkKx96NLCxcuxIoVK6BWq5GQkFAi2Lx37x5CQkKKlV2+fBnnzp1DZGRkqZ89AQEBcHZ2RpMmTTRlRkZGBhNsfvrpp1i+fDlcXFxgbm6O48eP45133sG8efM0x+Tl5cHX1xcHDhyAl5cXwsPD0atXLwQHBxf7e/uwitTRCVHNTZ8+XTRr1kwkJiYKIYQIDQ0VKpVK7N69W6d1DM2uXbvEpUuXNI8TEhJE06ZNxdSpU0utExMTIwCIq1evVkYT9WbEiBEiICDgier4+PgIT09PkZmZKYQQYuvWrUKlUomIiAglmlglJCcni1q1aon58+eXekxYWJgAIFJTUyuxZcq6fPmyCAoKEllZWaJLly5iypQpJY45dOiQACCOHj0qhJDXqmXLlmLixImlnrcidaqaNWvWiOjoaPHzzz8LAJrfh0LR0dFi+/btmscFBQVizJgxwsnJqczzenh4iEWLFinS5spw5swZsWXLFpGXlyeaNGki5s2bV+KYDRs2CFtb2yc6b3BwsDAzMxNRUVFCCCFiY2OFnZ2d+Oijj3TS7sqwdOlScfv2bbF06VJhZWVVrjoDBw4UnTp1KvMYW1tbsWHDBh20UD8CAwNFcnKy5vHBgwcFAHHgwAFN2dKlS0W9evVETEyMEEKIa9euibp164ply5aVet6K1NEFwxqfqYCNGzdi3LhxqFevHgDA29sb3t7eCAoK0mkdQzNgwIBivQTW1tbo0aMHzp0799i6J0+exPbt23Hp0iUFW6hfcXFxCAkJwYkTJ5CamlrmsRkZGdi6dSsmT56s6cUZOnQonJ2dsWnTpsporl4EBwcjOzsbY8eOfeyxhw8fxo4dO3Dt2rVKaJmyWrZsidGjR5eZxy4oKAheXl54/vnnAcit4yZMmIBNmzahoKBAZ3WqGn9/fzRr1qzU55s1a4ZBgwZpHqtUKgwbNgy3bt1CQkJCmee+ceMGtm7ditOnTyM7O1tnba4Mnp6eGDZsGNRqdZnH5eXlYc+ePdizZw/+/vvvx543KCgIffv2Rdu2bQEAdnZ2eO211wzqs+rtt9+Gg4NDuY+/c+cOdu/eDX9//8cee/nyZYSEhCAiIgJ5eXlP08xKN27cuGKjjD169IC1tXWxz+igoCAMGzYMTZs2BQC4uLhg6NChZf78K1JHF6p1sBkbG4v4+HjNL2Ihd3d3REVF6axOdZCTk4OjR4+WeN+PUqlU+Prrr7Fs2TJ07twZ/fv3LzGXqjoIDQ3Ft99+C39/fzg7O2PLli2lHnv58mXk5OTUuHsmMDAQAwcOfOwUCmNjYyxYsABLliyBu7s7Ro4ciaysrEpqpX5ERUVpvR9SUlJw8+ZNndWpDvbv3w97e3vUr1+/zON27NiBwMBAjBw5Eq1bt0ZoaGgltbDyZGRkYOHChfjkk0/g4uKCGTNmQJSRCru0eyY6OrrEfMXqYt26dTA3N4evr+9jj/3pp5/w3XffYfDgwfDw8DDov8cRERFITEws9vMu7edf1vusSB1dqNZzNpOTkwGgxB8xGxsbJCUl6axOdfDOO+8gISEBs2bNKvUYS0tLnDx5Ep07dwYgA3Nvb2/MmDEDP/zwQ2U1VXETJ05EcHCwZp7U7Nmz4efnB09Pz2LzfwqVdc/873//U77BehAVFYXw8HCtC8YeZmdnh/Pnz6NNmzYA5Dy+zp07Y86cOVi4cGFlNFUvkpOTtd4PAMr82/OkdQzdnj17sGLFCqxdu7bM4z777DP069cPKpUKubm5GDt2LF599VVcuXIFtWvXrqTWKqswSCz85y00NBQvvvgi3NzcSu3FK+ueSU5ONph5m+UlhMD333+PUaNGwdLSssxj165diwEDBgAAMjMzMXz4cIwaNQpRUVEGt+guJSUFfn5+6NWrF/r06QNA9oJnZGRo/fmnp6cjLy+vxBzMitTRFcO64k+ocJgrLS2tWHlaWlqpqx8rUsfQffzxx1i7di22bdtW5gpqGxsbTaAJAPb29pgyZcpjAw5D07t372IT8j/88EPk5ubiwIEDWo+vifdMYGAgHBwcNH/MS9O0aVNNoAnIYdQxY8ZUu3vmUWZmZlrvBwBl/u150jqG7MSJE3jllVfw/vvvw8/Pr8xj+/fvr1lhbWJigjlz5uDOnTv4448/KqOplcLDw6PYKEG3bt0wYMCAMn9Xato9c+TIEVy7dq1cQ+gP/22ysLDA//3f/+HPP/9EdHS0kk3UufT0dAwcOBCmpqb4+eefNb8HxsbGUKvVWn/+xsbGWoPGitTRlWodbDo6OsLU1LTEENSNGzfg4uKiszqGbP78+Vi4cCF27typmSv2JOrWrYukpCSDmw/zJExNTWFubo579+5pfb7wvqgp90xOTg6CgoIwbty4x85B06Zu3bqlXsvqolmzZlrvB7VarbV3vKJ1DFVYWBgGDBiA6dOnY+7cuU9cv3AuW3W/jx73u1LaPWNtba1Zc1CdBAYGwt3dHV26dHniuoZ4zxQGmikpKdi/f3+JrBQuLi5af/7Ozs6lnrMidXShWgebJiYm6NOnD37++WdNWUJCAvbv34+BAwdqys6cOYNdu3Y9UZ3qYMGCBfjss8+wc+dOdO/evcTzaWlp2Lx5M+7cuQNADps/asuWLWjfvr2yKRMqUVZWVokhy3379iE1NbVYmpXjx4/j4MGDAABbW1t4enoWu2diYmIQHh5e7e4ZAAgJCUFiYiLGjx9f4rn4+Hhs3rxZM4/30XsmPz8f27ZtM5iUNRX10ksv4dChQ4iPj9eU/fjjj+jRo4dmaPPu3bvYvHmzZgFaeepUBydPnkT//v0xdepUzJ8/X+sxu3fvRnh4OAAgMTGxxBzfLVu2wMjICJ6enoq3t7I8+ruSkpKiSU9TKCYmBps3b0Zubi4Aec/s2rULGRkZAGTu5F9++aVa/t1JTk7Gr7/+Wmqv5tatWzXzDu/du1eiA2TLli0wNzd/7LqEqiIjIwMDBw5EYmIiDhw4oJke8bCXXnoJISEhmvshJycHISEhxX7+ly9fxk8//fREdRSh6Fr3KuD8+fOiTp064rXXXhPLly8Xnp6ewsPDo1hKjoCAANGqVasnqmPoVq9eLQCIiRMniuDgYM3Xjh07NMdcvXpVANCkKlm0aJHo06eP+OKLL8TKlStFnz59RN26dcWRI0f09TZ0Lj4+XrRu3Vq8++67IjAwUMyaNUvUqVNH+Pn5FTtuyJAhonv37prHhw8fFqampiIgIEAsXbpUtG7dWvTo0UPk5+dX8jtQXt++fUW/fv20Pnfs2DEBQISHhwshhJg5c6YYMmSI+Prrr8XSpUtF165dRaNGjcT58+crs8k6lZubq/l9ad68uejbt68IDg4Wv//+u+aY7Oxs4eXlJdq3by+WLVsm/Pz8RK1atcSZM2c0x/z+++8CgLh48WK561R14eHhIjg4WMyYMUMAEOvXrxfBwcEiNjZWCCHElStXhJWVlejUqVOxvzvBwcEiKSlJcx43Nzcxfvx4IYQQkZGRom3btuLDDz8UgYGBYsqUKcLU1FTMmTNHH2+xQlJTUzXvs0GDBmLkyJEiODhYHDp0SHPMiBEjhJ+fn1ixYoX46quvRKtWrUSLFi00104IIdauXSsAaNLyJScnixYtWojnnntOrFixQgwdOlTUr19fREdHV/I7rLhjx46J4OBgMXbsWFGrVi3NdSp8j4VWrFghzM3NRUJCgtbz2NjYiPfff18IIcSBAwdEhw4dxMcffyy+++47MXbsWGFqaqp4eh9dGjBggDA3NxfLli0r9nty9uxZzTGxsbHCwcFB9O3bV6xYsUL06dNHODg4FLtnFi1aJNRq9RPVUUL16I4qg7u7O86ePYtvv/0Wp06dgo+PDyZNmlRsPouXl1exSeblqVMd+Pj4IDExsVjCXDs7O81/OJaWlvDx8dGkpZg5cya8vb2xbds2JCUloW/fvti4cSMaNmyoj+YrwsbGBmFhYVi3bh1CQ0PRoEEDbN26Fb179y523PPPP4/09HTN4+7duyM8PBzr1q3DmTNnMGXKFPj7+xvcRPTHyczMRIMGDbT2agJAw4YN4ePjo5mAvmjRIuzduxe7d+9GZmYmfH19MWbMmFI3DjAE+fn5mt+Zwp61kJAQODk5oX///gDk1IvDhw9j1apVOH36NGxtbREREVEs3Zi9vT18fHw016I8daq6yMhIzY5RPj4+2LlzJwCgTZs2sLOzQ1pamuYaPZqo+7nnnoOVlRUAOd+ucNe2du3aYffu3Vi/fj2OHz8OBwcHhIaGGlSvZnp6uub99urVC4B8/+7u7njxxRcByJXTv/76K44cOQKVSoWZM2fijTfegKmpqeY8zs7O8PHx0ZTVrVsXp06dwsqVK3Hy5Em4urri66+/Nqjdy06dOqXpxR48eLDmOnl7exebCpCQkIC5c+eWusHB8OHD0a5dOwAy4f/PP/+MoKAghIaGokmTJjh37lyx+eNVnaOjI4YMGYJjx44VKx88eDDat28PQH5e//HHH1i5ciXCwsLQrVs3bNiwAba2tprjW7duDR8fH83j8tRRgkqIMvIqEBERERE9herV7UJEREREVQqDTSIiIiJSDINNIiIiIlIMg00iIiIiUgyDTSIiIiJSDINNIiIiIlIMg00iIiIiUgyDTSIiIiJSDINNIiIiIlIMg00iIiIiUgyDTSIiIiJSDINNIiIiIlLM/wOsdSARtgJMIAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_ols = res2.get_prediction()\n", "iv_l = pred_ols.summary_frame()[\"obs_ci_lower\"]\n", "iv_u = pred_ols.summary_frame()[\"obs_ci_upper\"]\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.plot(x1, y2, \"o\", label=\"data\")\n", "ax.plot(x1, y_true2, \"b-\", label=\"True\")\n", "ax.plot(x1, res2.fittedvalues, \"r-\", label=\"OLS\")\n", "ax.plot(x1, iv_u, \"r--\")\n", "ax.plot(x1, iv_l, \"r--\")\n", "ax.plot(x1, resrlm2.fittedvalues, \"g.-\", label=\"RLM\")\n", "legend = ax.legend(loc=\"best\")" ] } ], "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": "3.14.7" } }, "nbformat": 4, "nbformat_minor": 4 }