{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "import numpy as np\n", "import pandas as pd\n", "from lifelines.fitters.piecewise_exponential_regression_fitter import PiecewiseExponentialRegressionFitter\n", "from lifelines import *\n", "from lifelines.generate_datasets import piecewise_exponential_survival_data\n", "plt.style.use('bmh')\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# this code can be skipped\n", "# generating piecewise exponential data to look like a monthly churn curve. \n", "\n", "N, d = 2000, 2\n", "\n", "# some numbers take from http://statwonk.com/parametric-survival.html\n", "breakpoints = (1, 31, 34, 62, 65, 93, 96)\n", "\n", "betas = np.array(\n", " [\n", " [1.0, -0.2, np.log(15)],\n", " [5.0, -0.4, np.log(333)],\n", " [9.0, -0.6, np.log(18)],\n", " [5.0, -0.8, np.log(500)],\n", " [2.0, -1.0, np.log(20)],\n", " [1.0, -1.2, np.log(500)],\n", " [1.0, -1.4, np.log(20)],\n", " [1.0, -3.6, np.log(250)],\n", " ]\n", ")\n", "\n", "X = 0.1 * np.random.exponential(size=(N, d))\n", "X = np.c_[X, np.ones(N)]\n", "\n", "T = np.empty(N)\n", "for i in range(N):\n", " lambdas = np.exp(-betas.dot(X[i, :]))\n", " T[i] = piecewise_exponential_survival_data(1, breakpoints, lambdas)[0]\n", "\n", "T_censor = np.minimum(T.mean() * np.random.exponential(size=N), 110) # 110 is the end of observation, eg. current time. \n", "\n", "df = pd.DataFrame(X, columns=['var1', 'var2', 'intercept'])\n", "df[\"T\"] = np.minimum(T, T_censor)\n", "df[\"E\"] = T <= T_censor\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Empircally observed SaaS churn\n", "\n", "A subscribtion-as-a-service company has a typical customer churn pattern. During periods of no billing, the churn is relatively low compared to periods of billing (typically every 30 or 365 days). This results in a distinct survival function for customers. See below:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 369, "width": 647 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "kmf = KaplanMeierFitter().fit(df['T'], df['E'])\n", "kmf.plot(figsize=(11,6));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To borrow a term from finance, we clearly have different _regimes_ that a customer goes through: periods of low churn and periods of high churn, both of which are predictable. This predictability and \"sharp\" changes in hazards suggests that a piecewise hazard model may work well: hazard is constant during intervals, but varies over different intervals. \n", "\n", "Furthermore, we can imagine that inidivdual customer variables influence their likelihood to churn as well. Since we have baseline information, we can fit a regression model. For simplicity, let's assume that a customer's hazard is constant in each period, however it varies over each customer (heterogenity in customers). \n", "\n", "Our hazard model looks like¹:\n", "$$\n", " h(t\\;|\\;x) = \\begin{cases}\n", " \\lambda_0(x)^{-1}, & t \\le \\tau_0 \\\\\n", " \\lambda_1(x)^{-1} & \\tau_0 < t \\le \\tau_1 \\\\\n", " \\lambda_2(x)^{-1} & \\tau_1 < t \\le \\tau_2 \\\\\n", " ...\n", " \\end{cases}\n", "$$\n", "\n", "and $\\lambda_i(x) = \\exp(\\mathbf{\\beta}_i x^T), \\;\\; \\mathbf{\\beta}_i = (\\beta_{i,1}, \\beta_{i,2}, ...)$. That is, each period has a hazard rate, $\\lambda_i$ the is the exponential of a linear model. The parameters of each linear model are unique to that period - different periods have different parameters (later we will generalize this). \n", "\n", "Why do I want a model like this? Well, it offers lots of flexibilty (at the cost of efficiency though), but importantly I can see:\n", "\n", "1. Influence of variables over time.\n", "2. Looking at important variables at specific \"drops\" (or regime changes). For example, what variables cause the large drop at the start? What variables prevent death at the second billing?\n", "3. Predictive power: since we model the hazard more accurately (we hope) than a simpler parametric form, we have better estimates of a subjects survival curve. \n", "\n", "¹ I specifiy the reciprocal because that follows lifelines convention for exponential and Weibull hazards. In practice, it means the interpretation of the sign is possibly different. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "pew = PiecewiseExponentialRegressionFitter(\n", " breakpoints=breakpoints)\\\n", " .fit(df, \"T\", \"E\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we fit the regression model. We supplied a list of breakpoints that we inferred from the survival function and from our domain knowledge. \n", "\n", "Let's first look at the average hazard in each interval, over time. We should see that during periods of high customer churn, we also have a high hazard. We should also see that the hazard is constant in each interval. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Hazard')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 370, "width": 705 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1)\n", "kmf.plot(figsize=(11,6), ax=ax);\n", "ax.legend(loc=\"upper left\")\n", "ax.set_ylabel(\"Survival\")\n", "\n", "ax2 = ax.twinx()\n", "\n", "pew.predict_cumulative_hazard(\n", " pew._norm_mean.to_frame(name='average hazard').T,\n", " times=np.arange(0, 110),\n", " ).diff().plot(ax=ax2, c='k', alpha=0.80)\n", "ax2.legend(loc=\"upper right\")\n", "ax2.set_ylabel(\"Hazard\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's obvious that the highest average churn is in the first few days, and then high again in the latter billing periods. \n", "\n", "So far, we have only been looking at the aggregated population - that is, we haven't looked at what variables are associated with churning. Let's first start with investigating what is causing (or associated with) the drop at the second billing event (~day 30). " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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LiN2llE9Eb4D7xujdLGx39K5/e85KKW+N3jD1z6N3Ddp39O5/9RLPTr2cAnB5u/POO2N0dLR1DAAau/3221tHgE649tprL+jzgB5/j/Vc1gPVvgcj4icm/for1Fp/s5Rya/Supfq90Ruk7YyI10fv1PHzGqj2nzf1xkjfPunXz0bExyJZrfWzpZTXR8TWiPiu6PXgMxHx5oj4Uly4geofRMQPRu+0+R+M3o2wnoyIH6+1/taUzH9WSnlDRNzbz3d39L4+W6N3JOtLBqp9b4uIZ/rb/+OI+EL0bij27pj+cgez9ar+x1dE76ZX03ksekdAc4lbvXr12TeCWdInMukTmfSJTPpEppn69N73vvcCJ6ELrE9kKRfhTeiBSUZGRp5YuHDh9cPDw62jAHMwPj4eERFDQ1P/HQ0AAIALbWxsLCYmJp7ctGnTDef63HkvRyCArnCKNlm2bt0ad999d+sYdIj1iUz6RCZ9IpM+kUmfyGKgCgAAAAAwS66hymWvlHJNRNw1y81/utb6pXPY97ro3UzrrGqt9852vwAAAAC0YaAKEddExHtmue0D0btx12ytO4d933sO++UCWbZsWesIdMiCBQtaR6BDrE9k0icy6ROZ9IlM+kQWA1Uue7XWRyOivEz7fiB6Q1guUWvXrm0dgQ5ZunRp6wh0iPWJTPpEJn0ikz6RSZ/I4hqqAAPs3bu3dQQ65OjRo60j0CHWJzLpE5n0iUz6RCZ9IouBKsAAR44caR2BDjlx4kTrCHSI9YlM+kQmfSKTPpFJn8jilH8AuAC2bNkSu3btah0DAACAOXKEKgBcAENDQ7Fy5crWMQAAAJijUmttnQEYYGRk5ImFCxdePzw83DoKAAAAQCeMjY3FxMTEk5s2bbrhXJ/rCFWAAQ4ePNg6Ah3x0EMPxX333dc6Bh1ifSKTPpFJn8ikT2TSJ7IYqAIMsH///tYR6IjHH388HnnkkdYx6BDrE5n0iUz6RCZ9IpM+kcVAFQAAAABglgxUAQAAAABmyUAVYAA3AyPTkiVLWkegQ6xPZNInMukTmfSJTPpEFgNVgAEWL17cOgIdcsUVV7SOQIdYn8ikT2TSJzLpE5n0iSwGqgAD7Nq1q3UEOuTw4cOtI9Ah1icy6ROZ9IlM+kQmfSLL/NYBAOByMDQ0FPPm+XdMAACAS52BKgBcAFu2bInR0dHWMQAAAJgjh8oADLBixYrWEegQfSKTPpFJn8ikT2TSJzLpE1kMVAEGWLNmTesIdIg+kUmfyKRPZNInMukTmfSJLAaqAAM89dRTrSPQEZs3b47bbrutdQw6xPpEJn0ikz6RSZ/IpE9kMVAFGOD5559vHYEOOXnyZOsIdIj1iUz6RCZ9IpM+kUmfyGKgCgAAAAAwSwaqAAMsWLCgdQQ6ZN48f+2Sx/pEJn0ikz6RSZ/IpE9k8ZMdwAAbNmxoHYEOWb58eesIdIj1iUz6RCZ9IpM+kUmfyGKgCjDA+Ph46wh0iGs2kcn6RCZ9IpM+kUmfyKRPZDFQBRjgwIEDrSPQIS+88ELrCHSI9YlM+kQmfSKTPpFJn8gyv3UAALgc3HHHHbFnz57WMQAAAJgjA1UAuABuueUWN6UCAADoAD/ZAQywbt261hHoEH0ikz6RSZ/IpE9k0icy6RNZDFQB4ALYvn177Nixo3UMAAAA5shAFWCA3bt3t45ARzz88MNx//33t45Bh1ifyKRPZNInMukTmfSJLAaqAAAAAACzZKAKAAAAADBLBqoAA6xatap1BDrkqquuah2BDrE+kUmfyKRPZNInMukTWQxUAQYYGhpqHYEOWbRoUesIdIj1iUz6RCZ9IpM+kUmfyGKgCjDAzp07W0egQw4fPtw6Ah1ifSKTPpFJn8ikT2TSJ7IYqAIMcOLEidYR6JBTp061jkCHWJ/IpE9k0icy6ROZ9Iks81sHAIDLwbZt22J0dLR1DAAAAObIEaoAA7jmJZn0iUz6RCZ9IpM+kUmfyKRPZCm11tYZgAFGRkaeWLhw4fXDw8OtowAAAAB0wtjYWExMTDy5adOmG871uY5QBRhg3759rSPQEVu3bo177rmndQw6xPpEJn0ikz6RSZ/IpE9kMVAFGODQoUOtI9AR4+Pj8cwzz7SOQYdYn8ikT2TSJzLpE5n0iSwGqgAAAAAAs2SgCgAAAAAwSwaqAAOsX7++dQQ6ZPny5a0j0CHWJzLpE5n0iUz6RCZ9IouBKsAAx48fbx2BDnnxxRdbR6BDrE9k0icy6ROZ9IlM+kQWA1WAAcbGxlpHoEOOHTvWOgIdYn0ikz6RSZ/IpE9k0ieyzG8dAAAuBzfffHPs37+/dQwAAADmyEAVAC6AO++8M0ZHR1vHAAAAYI6c8g8wwOrVq1tHoEP0iUz6RCZ9IpM+kUmfyKRPZHGEKsAAK1eubB2BjhgfH28dgY6xPpFJn8ikT2TSJzLpE1kcoQowgFO0ybJ169a4++67W8egQ6xPZNInMukTmfSJTPpEFgNVAAAAAIBZMlAFAAAAAJglA1WAAZYtW9Y6Ah2yYMGC1hHoEOsTmfSJTPpEJn0ikz6RxUAVYIC1a9e2jkCHLF26tHUEOsT6RCZ9IpM+kUmfyKRPZDFQBRhg7969rSPQIUePHm0dgQ6xPpFJn8ikT2TSJzLpE1kMVAEGOHLkSOsIdMiJEydaR6BDrE9k0icy6ROZ9IlM+kSW+a0DAMDlYMuWLbFr167WMQAAAJgjR6gCwAUwNDQUK1eubB0DAACAOSq11tYZgAFGRkaeWLhw4fXDw8OtowAAAAB0wtjYWExMTDy5adOmG871uY5QBRjg4MGDrSPQEQ899FDcd999rWPQIdYnMukTmfSJTPpEJn0ii4EqwAD79+9vHYGOePzxx+ORRx5pHYMOsT6RSZ/IpE9k0icy6RNZDFQBAAAAAGbJQBUAAAAAYJYMVAEGcDMwMi1ZsqR1BDrE+kQmfSKTPpFJn8ikT2QxUAUYYPHixa0j0CFXXHFF6wh0iPWJTPpEJn0ikz6RSZ/IYqAKMMCuXbtaR6BDDh8+3DoCHWJ9IpM+kUmfyKRPZNInssxvHQAALgdDQ0Mxb55/xwQAALjUGagCwAWwZcuWGB0dbR0DAACAOXKoDMAAK1asaB2BDtEnMukTmfSJTPpEJn0ikz6RxUAVYIA1a9a0jkCH6BOZ9IlM+kQmfSKTPpFJn8hioAowwFNPPdU6Ah2xefPmuO2221rHoEOsT2TSJzLpE5n0iUz6RBYDVYABnn/++dYR6JCTJ0+2jkCHWJ/IpE9k0icy6ROZ9IksBqoAAAAAALNkoAowwIIFC1pHoEPmzfPXLnmsT2TSJzLpE5n0iUz6RBY/2QEMsGHDhtYR6JDly5e3jkCHWJ/IpE9k0icy6ROZ9IksBqoAA4yPj7eOQIe4ZhOZrE9k0icy6ROZ9IlM+kQWA1WAAQ4cONA6Ah3ywgsvtI5Ah1ifyKRPZNInMukTmfSJLPNbBwCAy8Edd9wRe/bsaR0DAACAOTJQBYAL4JZbbnFTKgAAgA7wkx3AAOvWrWsdgQ7RJzLpE5n0iUz6RCZ9IpM+kcVAFQAugO3bt8eOHTtaxwAAAGCODFQBBti9e3frCHTEww8/HPfff3/rGHSI9YlM+kQmfSKTPpFJn8hioAoAAAAAMEsGqgAAAAAAs2SgCjDAqlWrWkegQ6666qrWEegQ6xOZ9IlM+kQmfSKTPpHFQBVggKGhodYR6JBFixa1jkCHWJ/IpE9k0icy6ROZ9IksBqoAA+zcubN1BDrk8OHDrSPQIdYnMukTmfSJTPpEJn0ii4EqwAAnTpxoHYEOOXXqVOsIdIj1iUz6RCZ9IpM+kUmfyDK/dQAAuBxs27YtRkdHW8cAAABgjhyhCjCAa16SSZ/IpE9k0icy6ROZ9IlM+kSWUmttnQEYYGRk5ImFCxdePzw83DoKAAAAQCeMjY3FxMTEk5s2bbrhXJ/rCFWAAfbt29c6Ah2xdevWuOeee1rHoEOsT2TSJzLpE5n0iUz6RBYDVYABDh061DoCHTE+Ph7PPPNM6xh0iPWJTPpEJn0ikz6RSZ/IYqAKAAAAADBLBqoAAAAAALNkoAowwPr161tHoEOWL1/eOgIdYn0ikz6RSZ/IpE9k0ieyGKgCDHD8+PHWEeiQF198sXUEOsT6RCZ9IpM+kUmfyKRPZDFQBRhgbGysdQQ65NixY60j0CHWJzLpE5n0iUz6RCZ9Isv81gEA4HJw8803x/79+1vHAAAAYI4MVAHgArjzzjtjdHS0dQwAAADmyCn/AAOsXr26dQQ6RJ/IpE9k0icy6ROZ9IlM+kQWR6gCDLBy5crWEeiI8fHx1hHoGOsTmfSJTPpEJn0ikz6RxRGqAAM4RZssW7dujbvvvrt1DDrE+kQmfSKTPpFJn8ikT2QxUAUAAAAAmCUDVQAAAACAWTJQBRhg2bJlrSPQIQsWLGgdgQ6xPpFJn8ikT2TSJzLpE1kMVAEGWLt2besIdMjSpUtbR6BDrE9k0icy6ROZ9IlM+kQWA1WAAfbu3ds6Ah1y9OjR1hHoEOsTmfSJTPpEJn0ikz6RxUAVYIAjR460jkCHnDhxonUEOsT6RCZ9IpM+kUmfyKRPZJnfOgAAXA62bNkSu3btah0DAACAOXKEKgBcAENDQ7Fy5crWMQAAAJijUmttnQEYYGRk5ImFCxdePzw83DoKAAAAQCeMjY3FxMTEk5s2bbrhXJ/rCFWAAQ4ePNg6Ah3x0EMPxX333dc6Bh1ifSKTPpFJn8ikT2TSJ7IYqAIMsH///tYR6IjHH388HnnkkdYx6BDrE5n0iUz6RCZ9IpM+kcVAFQAAAABglgxUAQAAAABmyUAVYAA3AyPTkiVLWkegQ6xPZNInMukTmfSJTPpEFgNVgAEWL17cOgIdcsUVV7SOQIdYn8ikT2TSJzLpE5n0iSwGqgAD7Nq1q3UEOuTw4cOtI9Ah1icy6ROZ9IlM+kQmfSLL/NYBAOByMDQ0FPPm+XdMAACAS52BKgBcAFu2bInR0dHWMQAAAJgjh8oADLBixYrWEegQfSKTPpFJn8ikT2TSJzLpE1kMVAEGWLNmTesIdIg+kUmfyKRPZNInMukTmfSJLAaqAAM89dRTrSPQEZs3b47bbrutdQw6xPpEJn0ikz6RSZ/IpE9kMVAFGOD5559vHYEOOXnyZOsIdIj1iUz6RCZ9IpM+kUmfyGKgCgAAAAAwSwaqAAMsWLCgdQQ6ZN48f+2Sx/pEJn0ikz6RSZ/IpE9k8ZMdwAAbNmxoHYEOWb58eesIdIj1iUz6RCZ9IpM+kUmfyGKgCjDA+Ph46wh0iGs2kcn6RCZ9IpM+kUmfyKRPZDFQBRjgwIEDrSPQIS+88ELrCHSI9YlM+kQmfSKTPpFJn8gyv3UAALgc3HHHHbFnz57WMQAAAJgjA1UAuABuueUWN6UCAADoAD/ZAQywbt261hHoEH0ikz6RSZ/IpE9k0icy6RNZDFQB4ALYvn177Nixo3UMAAAA5shAFWCA3bt3t45ARzz88MNx//33t45Bh1ifyKRPZNInMukTmfSJLAaqAAAAAACzZKAKAAAAADBLBqoAA6xatap1BDrkqquuah2BDrE+kUmfyKRPZNInMukTWQxUAQYYGhpqHYEOWbRoUesIdIj1iUz6RCZ9IpM+kUmfyGKgCjDAzp07W0egQw4fPtw6Ah1ifSKTPpFJn8ikT2TSJ7IYqAIMcOLEidYR6JBTp061jkCHWJ/IpE9k0icy6ROZ9Iks81sHAIDLwbZt22J0dLR1DAAAAObIEaoAA7jmJZn0iUz6RCZ9IpM+kUmfyKRPZCm11tYZgAFGRkaeWLhw4fXDw8OtowAAAAB0wtjYWExMTDy5adOmG871uY5QBRhg3759rSPQEVu3bo177rmndQw6xPpEJn0ikz6RSZ/IpE9kMVAFGODQoUOtI9AR4+Pj8cwzz7SOQYdYn8ikT2TSJzLpE5n0iSwGqgAAAAAAs2SgCgAAAAAwSwaqAAOsX7++dQQ6ZPny5a0j0CHWJzLpE5n0iUz6RCZ9IouBKsAAx48fbx2BDnnxxRdbR6BDrE9k0icy6ROZ9IlM+kQWA1WAAcbGxlpHoEOOHTvWOgIdYn0ikz6RSZ/IpE+WJXIkAAAgAElEQVRk0ieyzG8dAAAuBzfffHPs37+/dQwAAADmyEAVAC6AO++8M0ZHR1vHAAAAYI6c8g8wwOrVq1tHoEP0iUz6RCZ9IpM+kUmfyKRPZHGEKsAAK1eubB2BjhgfH28dgY6xPpFJn8ikT2TSJzLpE1kcoQowgFO0ybJ169a4++67W8egQ6xPZNInMukTmfSJTPpEFgNVAAAAAIBZMlAFAAAAAJglA1WAAZYtW9Y6Ah2yYMGC1hHoEOsTmfSJTPpEJn0ikz6RxUAVYIC1a9e2jkCHLF26tHUEOsT6RCZ9IpM+kUmfyKRPZDFQBRhg7969rSPQIUePHm0dgQ6xPpFJn8ikT2TSJzLpE1kMVAEGOHLkSOsIdMiJEydaR6BDrE9k0icy6ROZ9IlM+kSW+a0DAMDlYMuWLbFr167WMQAAAJgjR6gCwAUwNDQUK1eubB0DAACAOSq11tYZgAFGRkaeWLhw4fXDw8OtowAAAAB0wtjYWExMTDy5adOmG871uY5QBRjg4MGDrSPQEQ899FDcd999rWPQIdYnMukTmfSJTPpEJn0ii4EqwAD79+9vHYGOePzxx+ORRx5pHYMOsT6RSZ/IpE9k0icy6RNZDFQBAAAAAGbJQBUAAAAAYJYMVAEGcDMwMi1ZsqR1BDrE+kQmfSKTPpFJn8ikT2QxUAUYYPHixa0j0CFXXHFF6wh0iPWJTPpEJn0ikz6RSZ/IYqAKMMCuXbtaR6BDDh8+3DoCHWJ9IpM+kUmfyKRPZNInssxvHQAALgdDQ0Mxb55/xwQAALjUGagCwAWwZcuWGB0dbR0DAACAOXKoDMAAK1asaB2BDtEnMukTmfSJTPpEJn0ikz6RxUAVYIA1a9a0jkCH6BOZ9IlM+kQmfSKTPpFJn8hioAowwFNPPdU6Ah2xefPmuO2221rHoEOsT2TSJzLpE5n0iUz6RJY5XUO1lHJNRPxBRDxYa70rIQ+JLtbvTynlgYh4a0S8qtb67MW2P5js+eefbx2BDjl58mTrCHTI5bw+vfOd74ynn376nJ937bXXxnvf+96XIdGl73LuE/n0iUz6RCZ9IstFc1OqUsqzERG11mvaJmnjYh1+8pVKKTdGxHdHxOsj4pqIWBIRfxQRIxHxvlrr/nbpAODi9+EPfziee+65uPrqq+P2228/5+c//fTTsWPHjpch2Veaa1YAALpnrgPVP4yI4Yg4mpAFLhUfjYj/LSL+R0T8QkScjIi/GhFvi4i/V0p5Y631txvmI9GCBQtaR6BD5s1zpR3yXMrr00c+8pHYsWNH3HjjjXMaUi5dujTWrVt31u12794dR4+e3/+uZmW92F3KfeLio09k0icy6RNZ5jRQrbW+GBG/l5QFLhUfjIiHa61/NPnBUsq/jIh/FRE/HxHXtQhGvg0bNrSOQIcsX768dQQ6xPoUsW7dunj00UfPut3GjRvjsccee/kDXcL0iUz6RCZ9IpM+kWVOh8qUUq4ppdT+NSwnP/5A//FrSin/sJSyp5Ty5VLKoVLKz5dSlk7admMppUbEUEQM9Z9XZ9jvN/f3faCUcqK/vw+XUr5pmmynM7y6lPJPSymfLaVMlFIenbLdt5dSPl5K+ZNSyp/19/3fSilvmGafbyql/Hop5U/72/5+KeXflFK+Zpptn+3/t7SUcl8p5Q/7X4PfLaW8o5RSJm17b/RO94+IeOuUr8FdZ/1GnKNSyjeWUt5XSvmdUsoX+u9lvP+9+YZptt/Yz3JvKeXbSim/WUo5Wko5Ukr5aCllVX+7V5dSfrG/z4lSyqdKKa8ZEGVeKeWeUsrv9b82ny+lfLCUsmSG3G8opTxeSnm+lPLFUsrHSinfPOB93tXP90w/z7FSyo5Syved8xdtklrrT04dpvb9ZERMRMS1pRRTk44YHx9vHYEOcc0mMlmfyKRPZNInMukTmfSJLC/3uYc/1f/vMxHxH6J3iYDNEfGrk7Z5NiJ+LHqXDTja//Xp/z52eqNSyndExJMR8fcjYldE/HT0rln55ojYWUq5foYMPxMRPxERe/q/PnPBrVLKj0XEb0XExv7H9/f3ORwRLxm6lVLeExG/GRF/OSL+34j4dxGxPyL+RUTsmGEIuCAiHomIN0XEL0bEtoj4mn6O+yZt92j/sYje12ry12D3pAyP9gebG2d4r7P15oj4wYg4EBEfiYh/HxG/GxE/EBG7SilfP8Pz1kfE4/1fb4uInf19PdIfbO6MiG+IiIei9zV6XUT891LK4hn298GIeFdEPBa99/+nEfFDEfHJUsqVkzcspdwWve/Rt0XEf42I/xgRyyPityPiVTPs//7oDeq3R68vv9j//cOllJ+Y4TlzUaN3+n9ExJ+/DPungQMHDrSOQIe88MILrSPQIdYnMukTmfSJTPpEJn0iy8t9U6q/EhHX1Vqfi4gopcyPiE9GxOtLKRtqrTv7d2W/9/SRmLXWe6fupJSyLHqDvxci4pZa6+9O+ty1EfHpiPhPETHdUPX6iHhtrfUPJj9YSvn2iHh39I4MvbnW+odTPv8Nk379+oi4N3rDu++stX5p0ufuiogPRW/4+c+mvPbXRcQzEXFtrfXP+tu/J3oD4beXUn6p1rq91vpo6d2U6+6I2D3d1yDZwxHxwdOZTut/TX4jIrZExD+a5nnfGRHfV2v9hUnP+b8j4h9E73qi76+1/qtJn3tXRPx49K4t+jPxlW6MiHW11vH+9u+M3rD0zRHxw9EbhEd/IPsfI+JU9L5XvzPpNT4YvSHsdK6ttf7+lPe4oP8ef7SU8nNTv+9z9D0R8dUR8enJHcnwuc99Lt7+9rdP+7lPfepTmS8FvEzuuOOO2LNnT+sYcFHZs2dP3Hrrref1vAv1ev7cAgAw1cs9UP3x08PUiIha68lSyoci4uaI2BC9Ixpn487oHdn5TyYPU/v7fLqUsi0ifqiU8i1TPx8RPzV1mNr3T/sf//l0Q7Va6+cn/fYd/Y+bpw7Kaq0PlFLujt6Rs1MHqhER75w8uKy1frF/dOSHIuL7o3f05GzdGRFXRcRzZ9twkJmGiLXWT5RS9kbviNrpjE4epvY9GL2B6tGIeN+Uzz0UvYHqTHeL+JnTw9T+658qpfxwRPyt/j5PH0X63RHxyoh4aPIwte/e6H0dl055PKYOU/uPnSil/IeI+D8iYlM/45yVUl4VvSN9T0bEPRn7nKzWGsePHz/z+4ULF0ZExMTERIyOjkZExKpVq2JoaCh27twZJ06ciIiIRYsWxWtf+9rYt29fHDp06Mzz169fH8ePH4+xsbEzj61evTpWrlx5Zn8REcuWLYu1a9fG3r1748iRI2cev+mmm+LgwYOxf//+M48NDw/H4sWLY9euXWceW7FiRaxZsyaeeuqpM6c6L1iwIDZs2BDj4+Mv+dfB0zcV2b37zEHZF8V7ioiXPL8L76mL36dL4T0tX748XvOa13TqPXXx+3QpvaeIiMOHD1+S7+n032nHjh2LHTvOnDz0spvL6x09erTTf+ee1qX31MXv06Xynk7r0nvq4vfpUnpPhw8f7tx76uL36VJ5T3v37u3ce+ri9+lCvKcrr7zyvG8cXGqt5/XEiN41VKN3hOeDtda7Jj3+QES8NXpHhu6e8pw3RMR/j4h311p/YtLjz0ZE1FqvmeZ1fjEivjd6p5lPd+3K9dE7evK2WutHp2T4a9Pdcb2U8oXonTK+qNY6cZb3eTB6A71/PcMm3xMR3xIRX1trPTzp/Xx9RFxZa33J6d+Tvm6fqbWum/LYS76WczHg+1OiNwC+KyJeExHLIuIVk556otb6VZO23xgRn4qIn661vmRoXEpZHRH7IuJjtda/PeVz8yPixYh4pNb6xkmPPxC9783raq1fMVDuf+2GImJZrfVLpZT3R29I+bZa63+eZvtHo3d5gVf1j3g+/fjVEfEj0RucXh0RC6c89V/WWt87dX/nqpTyl6I3GP+miPjHtdafnes+JxsZGXli4cKF158e7nFhHT9+PBYvnumqFXBu9IlMl3Kfbr311tixY0csWbIkrrvu3O/juGfPnjh27Fi87nWvO6ebUp3P651+rRtvvDE+/vGPn3PWS8Wl3CcuPvpEJn0ikz4x2djYWExMTDy5adOmG871uS/3EarTnfZ8+hqTr5jmczM5fYOfzWfZbro/FQdn2PZrIuLI2Yapk15/fkS8Zxavf3jS7/906jB1SqavOKryAvlA9E6T/+PoXZf0D6N3M6WI3pB1aIbnHZ3msZMzfa5/RHJExBUz7O/QDI8f7GdYGr0OLZ3F9i9RSnl19I6AXha9675+op/xzyPimugNdL9q6vPOVX+Y+snoDVPvzh6mAt2xffv2mJiYiDe9aaaTAODyc911153XkPL0QPZCvN75vhYAAN31ct+UKsvpYd1raq1lwH8PTvPcmQ7B/VJELCulTD1qcabXP3KW1y6TT1/v+9pSynSD45VT3tcF0x8AviMino6Ib6q1fl+t9Udqrff2r936ZwN3kGvFDI9P/fqc/ni27Se7J3qD8LfVWjfWWt9Ra31X/z3+1vmEnaqU8nXRu6HYt0TvyNR/l7FfLi7TnQ4J5+Phhx+O+++/v3UMOsT6RCZ9IpM+kUmfyKRPZLmYBqp/HjMftfrp/sebE1/v0xFRIuI7ZrntslLK2nN8jfkR8demeXxj/+NTkx47fSTruRy5ez5eHb3v+ydqrf9r8if6N+J69cv8+pO9buoD/SNLV0XEs5OuV/vkgO2XxvTXaF3d//jR2bzuuep/rR6LiG+OiB90ZCoAAADA5eHlPuX/XByOiG8tpSyc5jT8D0XE/xUR7yml7Kq1vuRmVqWUeRFxS6310XN4vX8fEX8jIt5fStk59UZNpZSvn/TYByPiuyJiWynltlrrH03ZdlFEXFdr/XR8pfeWUjadvjFVKeWVEbFl0vs67Uj0jqa9eqbA/WuCXhURz9VaX5jtG53i2f7Hm0oprzh9SYJSyuLoXaP2Qnbi7lLKQ6eP7O1/H/9N9Aa+k782/y16X5/bSyn/fsqNqe6N6S+d8Gz/48aIOHNuXynlTRHxA3MJXUoZit41ZYci4h/UWh+Yy/4AgPOze/fu2Lhx46y2AwCALBfTQHUkejeX+s1SyvbonXr+mVrrx2uth0spt0XEr0bEp0spIxGxN3oDyFUR8Vejd3r3lbN9sf4d7bdGb7g5Vkr5WEQciN5p5TdF76jUu/rbjpRSfjQi3hsR+0opvx69mz0tjt5Q7XURMRpfebTrH0fvOp1Pl1J+LXrXEr0tIr4uIn528g2Zaq3HSyn/X0TcXEr5hYj4XPSOWv21Wutn+5s91H+t10fvVPNzVms92L/J19+LiN2llE9EbyD5xoj4ckTsjumP+Hw57Ohn+KXondb/pujdJOuJiPipSZmPl1L+z4j4pYh4vL/9H0fv+3Rt9G4IdcuUff9sRHx/RPzXUsovR+9mZtdG73v0X6J3k7Pz9Wj0rsP6RERcU0q5d5ptHph8gywuXatWrWodgQ656qqrWkegQy7l9ektb3lL3HjjjXH11TP+O/KsHD16NB577LGkVNPLynqxu5T7xMVHn8ikT2TSJ7JcTAPVrdG7UdStEXFj9E59fzD6Rxf2h5rfGhH/InqDt5sj4kT0BmWfjOlP7R6o1vquUspvR++aon8jIhZFxJ9ExO9Eb3g5edufLKXs6G97U0R8d/SGgH8YET8fER+e5iVORMQbIuJfR2+A+bUR8UxEvC96R8hOdUf0job9joh4S/QuSfD5iPjsNNvOxdv6Ob43Iv5xRHwhIn4tIt4d5/F1nIN/FhF/O3o3G7smekcp/0xEvLvW+uXJG9Zaf7mU8h3RuzHY343ewH179IbpPxpTBqq11s+WUl4fvV59V/S6/pmIeHP0rp87l4HqNf2PN/T/m86j8RdHyXIJGxqa6R5tcO4WLVrUOgIdcimvT7fffvucnn/ttddesOfNNeul4lLuExcffSKTPpFJn8hSap3pnk3MRSnl2YiIWus1bZNwqRsZGXli4cKF1w8PD7eOclnauXNnbNiwoXUMOmDz5s1x+PDh+JVf+ZXWUegI6xOZ9IlM+kQmfSKTPjHZ2NhYTExMPLlp06aZDpab0cV0UyqAi86JEydaR6BDTp061ToCHWJ9IpM+kUmfyKRPZNInslxMp/wDQGdt27YtRkdHW8cAAABgjgxUueyVUu6Kv7gu6iC7a60fO8d9/1D0rg18No/WWh89l31zYbjmJZn0iUz6RCZ9IpM+kUmfyKRPZHENVS57pZRHI+J1s9j0wVrrXee472cjYjZXvf6xWuu9033CNVQBAAAAcrmGKsxBrXVjrbXM4r+7zmPf18xy3/fmvzMy7Nu3r3UEOmLr1q1xzz33tI5Bh1ifyKRPZNInMukTmfSJLAaqAAMcOnSodQQ6Ynx8PJ555pnWMegQ6xOZ9IlM+kQmfSKTPpHFQBUAAAAAYJYMVAEAAAAAZslAFWCA9evXt45Ahyxfvrx1BDrE+kQmfSKTPpFJn8ikT2QxUAUY4Pjx460j0CEvvvhi6wh0iPWJTPpEJn0ikz6RSZ/IYqAKMMDY2FjrCHTIsWPHWkegQ6xPZNInMukTmfSJTPpElvmtAwDA5eDmm2+O/fv3t44BAADAHBmoAsAFcOedd8bo6GjrGAAAAMyRU/4BBli9enXrCHSIPpFJn8ikT2TSJzLpE5n0iSyOUAUYYOXKla0j0BHj4+OtI9Ax1icy6ROZ9IlM+kQmfSKLI1QBBnCKNlm2bt0ad999d+sYdIj1iUz6RCZ9IpM+kUmfyGKgCgAAAAAwSwaqAAAAAACzZKAKMMCyZctaR6BDFixY0DoCHWJ9IpM+kUmfyKRPZNInshioAgywdu3a1hHokKVLl7aOQIdYn8ikT2TSJzLpE5n0iSwGqgAD7N27t3UEOuTo0aOtI9Ah1icy6ROZ9IlM+kQmfSKLgSrAAEeOHGkdgQ45ceJE6wh0iPWJTPpEJn0ikz6RSZ/IMr91AAC4HGzZsiV27drVOgYAAABz5AhVALgAhoaGYuXKla1jAAAAMEel1to6AzDAyMjIEwsXLrx+eHi4dRQAAACAThgbG4uJiYknN23adMO5PtcRqgADHDx4sHUEOuKhhx6K++67r3UMOsT6RCZ9IpM+kUmfyKRPZDFQBRhg//79rSPQEY8//ng88sgjrWPQIdYnMukTmfSJTPpEJn0ii4EqAAAAAMAsGagCAAAAAMySgSrAAG4GRqYlS5a0jkCHWJ/IpE9k0icy6ROZ9IksBqoAAyxevLh1BDrkiiuuaB2BDrE+kUmfyKRPZNInMukTWQxUAQbYtWtX6wh0yOHDh1tHoEOsT2TSJzLpE5n0iUz6RJb5rQMAwOVgaGgo5s3z75gAAACXOgNVALgAtmzZEqOjo61jAAAAMEcOlQEYYMWKFa0j0CH6RCZ9IpM+kUmfyKRPZNInshioAgywZs2a1hHoEH0ikz6RSZ/IpE9k0icy6RNZDFQBBnjqqadaR6AjNm/eHLfddlvrGHSI9YlM+kQmfSKTPpFJn8hioAowwPPPP986Ah1y8uTJ1hHoEOsTmfSJTPpEJn0ikz6RxUAVAAAAAGCWDFQBBliwYEHrCHTIvHn+2iWP9YlM+kQmfSKTPpFJn8jiJzuAATZs2NA6Ah2yfPny1hHoEOsTmfSJTPpEJn0ikz6RxUAVYIDx8fHWEegQ12wik/WJTPpEJn0ikz6RSZ/IYqAKMMCBAwdaR6BDXnjhhdYR6BDrE5n0iUz6RCZ9IpM+kWV+6wAAcDm44447Ys+ePa1jAAAAMEcGqgBwAdxyyy1uSgUAANABfrIDGGDdunWtI9Ah+kQmfSKTPpFJn8ikT2TSJ7IYqALABbB9+/bYsWNH6xgAAADMkYEqwAC7d+9uHYGOePjhh+P+++9vHYMOsT6RSZ/IpE9k0icy6RNZDFQBAAAAAGbJQBUAAAAAYJYMVAEGWLVqVesIdMhVV13VOgIdYn0ikz6RSZ/IpE9k0ieyGKgCDDA0NNQ6Ah2yaNGi1hHoEOsTmfSJTPpEJn0ikz6RxUAVYICdO3e2jkCHHD58uHUEOsT6RCZ9IpM+kUmfyKRPZDFQBRjgxIkTrSPQIadOnWodgQ6xPpFJn8ikT2TSJzLpE1nmtw4AAJeDbdu2xejoaOsYAAAAzJEjVAEGcM1LMukTmfSJTPpEJn0ikz6RSZ/IUmqtrTMAA4yMjDyxcOHC64eHh1tHAQAAAOiEsbGxmJiYeHLTpk03nOtzHaEKMMC+fftaR6Ajtm7dGvfcc0/rGHSI9YlM+kQmfSKTPpFJn8hioAowwKFDh1pHoCPGx8fjmWeeaR2DDrE+kUmfyKRPZNInMukTWQxUAQAAAABmyUAVAAAAAGCWDFQBBli/fn3rCHTI8uXLW0egQ6xPZNInMukTmfSJTPpEFgNVgAGOHz/eOgId8uKLL7aOQIdYn8ikT2TSJzLpE5n0iSwGqgADjI2NtY5Ahxw7dqx1BDrE+kQmfSKTPpFJn8ikT2SZ3zoAAFwObr755ti/f3/rGAAAAMyRgSoAXAB33nlnjI6Oto4BAADAHDnlH2CA1atXt45Ah+gTmfSJTPpEJn0ikz6RSZ/I4ghVgAFWrlzZOgIdMT4+3joCHWN9IpM+kUmfyKRPZNInsjhCFWAAp2iTZevWrXH33Xe3jkGHWJ/IpE9k0icy6ROZ9IksBqoAAAAAALNkoAoAAAAAMEsGqgADLFu2rHUEOmTBggWtI9Ah1icy6ROZ9IlM+kQmfSKLgSrAAGvXrm0dgQ5ZunRp6wh0iPWJTPpEJn0ikz6RSZ/IYqAKMMDevXtbR6BDjh492joCHWJ9IpM+kUmfyKRPZNInshioAgxw5MiR1hHokBMnTrSOQIdYn8ikT2TSJzLpE5n0iSzzWwcAgMvBli1bYteuXa1jAAAAMEeOUAWAC2BoaChWrlzZOgYAAABzVGqtrTMAA4yMjDyxcOHC64eHh1tHAQAAAOiEsbGxmJiYeHLTpk03nOtzHaEKMMDBgwdbR6AjHnroobjvvvtax6BDrE9k0icy6ROZ9IlM+kQWA1WAAfbv3986Ah3x+OOPxyOPPNI6Bh1ifSKTPpFJn8ikT2TSJ7IYqAIAAAAAzJKBKgAAAADALBmoAgzgZmBkWrJkSesIdIj1iUz6RCZ9IpM+kUmfyGKgCjDA4sWLW0egQ6644orWEegQ6xOZ9IlM+kQmfSKTPpHFQBVggF27drWOQIccPny4dQQ6xPpEJn0ikz6RSZ/IpE9kmd86AABcDoaGhmLePP+OCQAAcKkzUAWAC2DLli0xOjraOgYAAABz5FAZgAFWrFjROgIdok9k0icy6ROZ9IlM+kQmfSKLgSrAAGvWrGkdgQ7RJzLpE5n0iUz6RCZ9IpM+kcVAFWCAp556qnUEOmLz5s1x2223tY5Bh1ifyKRPZNInMukTmfSJLAaqAAM8//zzrSPQISdPnmwdgQ6xPpFJn8ikT2TSJzLpE1kMVAEAAAAAZslAFWCABQsWtI5Ah8yb569d8lifyKRPZNInMukTmfSJLH6yAxhgw4YNrSPQIcuXL28dgQ6xPpFJn8ikT2TSJzLpE1kMVAEGGB8fbx2BDnHNJjJZn8ikT2TSJzLpE5n0iSwGqgADHDhwoHUEOuSFF15oHYEOsT6RSZ/IpE9k0icy6RNZ5rcOAACXgzvuuCP27NnTOgYAAABzZKAKABfALbfc4qZUAAAAHeAnO4AB1q1b1zoCHaJPZNInMukTmfSJTPpEJn0ii4EqAFwA27dvjx07drSOAQAAwBwZqAIMsHv37tYR6IiHH3447r///tYx6BDrE5n0iUz6RCZ9IpM+kcVAFQAAAABglgxUAQAAAABmyUAVYIBVq1a1jkCHXHXVVa0j0CHWJzLpE5n0iUz6RCZ9IouBKsAAQ0NDrSPQIYsWLWodgQ6xPpFJn8ikT2TSJzLpE1kMVAEG2LlzZ+sIdMjhw4dbR6BDrE9k0icy6ROZ9IlM+kQWA1WAAU6cONE6Ah1y6tSp1hHoEOsTmfSJTPpEJn0ikz6RZX7rAABwOdi2bVuMjo62jgEAAMAcOUIVYADXvCSTPpFJn8ikT2TSJzLpE5n0iSyl1to6AzDAyMjIEwsXLrx+eHi4dRQAAACAThgbG4uJiYknN23adMO5PtcRqgAD7Nu3r3UEOmLr1q1xzz33tI5Bh1ifyKRPZNInMukTmfSJLAaqAAMcOnSodQQ6Ynx8PJ555pnWMegQ6xOZ9IlM+kQmfSKTPpHFQBUAAAAAYJYMVAEAAAAAZslAFWCA9evXt45Ahyxfvrx1BDrE+kQmfSKTPpFJn8ikT2QxUAUY4Pjx460j0CEvvvhi6wh0iPWJTPpEJn0ikz6RSZ/IYqAKMMDY2FjrCHTIsWPHWkegQ6xPZPr/27v3ODvq8vDjn4dLINxiiEqqQriqFNBwtRWUQCpWLV6hCkXAVqqtFyxWqYqKNha14l3RagVUBBUvrbeCRm6J9QdCQMBwCZAYrCAmISEQSEKe3x8zSw6HsydnN192ds9+3q/XviZn5jszz5x9Mmf32e98v+aTSjKfVJL5pJLMJ5WyWdMBSJI0Hjzvec9jwYIFTYchSZIkSdpIFlQlSRoBxx9/PHPmzGk6DEmSJEnSRvKRf0nqYvfdd286BPUR80klmU8qyXxSSeaTSjKfVJL5pFLsoSpJXUydOrXpENQnFi1a1HQI6jPen1SS+aSSzCeVZD6pJPNJpdhDVZK68BFtlTJr1ixOPvnkpsNQH/H+pJLMJ5VkPqkk80klmU8qxYKqJEmSJEmSJPXIgqokSZIkSZIk9ciCqiR1MXny5KZDUB+ZMGFC0yGoj3h/Uknmk0oyn1SS+aSSzCeVYkFVkrrYa6+9mg5BfWTSpElNh6A+4v1JJZlPKsl8Uknmk0oyn1SKBVVJ6uLGG29sOgT1keXLl1gFxaMAACAASURBVDcdgvqI9yeVZD6pJPNJJZlPKsl8UikWVCWpi2XLljUdgvrI6tWrmw5BfcT7k0oyn1SS+aSSzCeVZD6plM2aDkCSpPHgtNNO46qrrmo6DEmSJEnSRrKHqiRJI2DatGlMnTq16TAkSZIkSRspMrPpGCR1MXv27KsnTpy435577tl0KJIkSZIkSX1h/vz5rFq16pqZM2fuP9R97aEqSV3cddddTYegPvHVr36Vz372s02HoT7i/UklmU8qyXxSSeaTSjKfVIoFVUnqYsGCBU2HoD5xxRVX8LOf/azpMNRHvD+pJPNJJZlPKsl8Uknmk0qxoCpJkiRJkiRJPbKgKkmSJEmSJEk9sqAqSV04GZhK2m677ZoOQX3E+5NKMp9UkvmkkswnlWQ+qRQLqpLUxTbbbNN0COojm2++edMhqI94f1JJ5pNKMp9UkvmkkswnlWJBVZK6uOqqq5oOQX1kyZIlTYegPuL9SSWZTyrJfFJJ5pNKMp9UymZNByBJ0ngwbdo0NtnEv2NKkiRJ0lhnQVWSpBFw2mmnMWfOnKbDkCRJkiRtJLvKSFIXO+ywQ9MhqI+YTyrJfFJJ5pNKMp9UkvmkkswnlWJBVZK62GOPPZoOQX3EfFJJ5pNKMp9UkvmkkswnlWQ+qRQLqpLUxbx585oOQX3ipJNO4qijjmo6DPUR708qyXxSSeaTSjKfVJL5pFIsqEpSF/fff3/TIaiPrF27tukQ1Ee8P6kk80klmU8qyXxSSeaTSrGgKkmSJEmSJEk9sqAqSV1MmDCh6RDURzbZxI9dleP9SSWZTyrJfFJJ5pNKMp9Uir/ZSVIXBx10UNMhqI9MmTKl6RDUR7w/qSTzSSWZTyrJfFJJ5pNKsaAqSV0sWrSo6RDURxyzSSV5f1JJ5pNKMp9UkvmkkswnlWJBVZK6WLx4cdMhqI888MADTYegPuL9SSWZTyrJfFJJ5pNKMp9UymZNByBJ0njw2te+luuvv77pMCRJkiRJG8mCqiRJI+D5z3++k1JJkiRJUh/wNztJ6mL69OlNh6A+Yj6pJPNJJZlPKsl8Uknmk0oyn1SKBVVJkkbA5Zdfzty5c5sOQ5IkSZK0kSyoSlIX1157bdMhqE987Wtf46yzzmo6DPUR708qyXxSSeaTSjKfVJL5pFIsqEqSJEmSJElSjyyoSpIkSZIkSVKPLKhKUhc77rhj0yGoj2y11VZNh6A+4v1JJZlPKsl8Uknmk0oyn1SKBVVJ6mLatGlNh6A+svXWWzcdgvqI9yeVZD6pJPNJJZlPKsl8UikWVCWpiyuvvLLpENRHlixZ0nQI6iPen1SS+aSSzCeVZD6pJPNJpVhQlaQuVq9e3XQI6iPr1q1rOgT1Ee9PKsl8Uknmk0oyn1SS+aRSNms6AEmSxoMvfelLzJkzp+kwJEmSJEkbyR6qktSFY16qJPNJJZlPKsl8Uknmk0oyn1SS+aRSIjObjkFSF7Nnz7564sSJ++25555NhyJJkiRJktQX5s+fz6pVq66ZOXPm/kPd1x6qktTFrbfe2nQI6hOzZs3ilFNOaToM9RHvTyrJfFJJ5pNKMp9UkvmkUiyoSlIXd999d9MhqE8sWrSI22+/vekw1Ee8P6kk80klmU8qyXxSSeaTSrGgKkmSJEmSJEk9sqAqSZIkSZIkST2yoCpJXRx44IFNh6A+MmXKlKZDUB/x/qSSzCeVZD6pJPNJJZlPKsWCqiR1sXLlyqZDUB9Zs2ZN0yGoj3h/Uknmk0oyn1SS+aSSzCeVYkFVkrqYP39+0yGoj6xYsaLpENRHvD+pJPNJJZlPKsl8Uknmk0rZrOkAJEkaD573vOexYMGCpsOQJEmSJG0kC6qSJI2A448/njlz5jQdhiRJkiRpI/nIvyR1sfvuuzcdgvqI+aSSzCeVZD6pJPNJJZlPKsl8Uin2UJWkLqZOndp0COoTixYtajoE9RnvTyrJfFJJ5pNKMp9UkvmkUuyhKkld+Ii2Spk1axYnn3xy02Goj3h/Uknmk0oyn1SS+aSSzCeVYkFVkiRJkiRJknpkQVWSJEmSJEmSemRBVZK6mDx5ctMhqI9MmDCh6RDUR7w/qSTzSSWZTyrJfFJJ5pNKsaAqSV3stddeTYegPjJp0qSmQ1Af8f6kkswnlWQ+qSTzSSWZTyrFgqokdXHjjTc2HYL6yPLly5sOQX3E+5NKMp9UkvmkkswnlWQ+qRQLqpLUxbJly5oOQX1k9erVTYegPuL9SSWZTyrJfFJJ5pNKMp9UymZNByBJ0nhw2mmncdVVVzUdhiRJkiRpI1lQ7XMRcQ5wArBLZi5sNppKROwM3AGcm5knjrbjSRrcu971Lm644YYh77f33ntzxhlnPA4RjR3Tpk1j8eLFTYchSZIkSdpIFlQbEhHTgZcDLwB2BaYA9wCXA/+emdc0GJ66iIgpwCuAlwD7AE8FVgPXA2cDZ2fmuuYiHL2+8Y1v8Nvf/paddtqJY489tulwenLIIYc0HcKocsMNNzB37tymwxizxmI+jcX/t+PFWMwnjV7mk0oyn1SS+aSSzCeVYkG1OV8AngNcDXwXWAlMB14DHBURr87M7zYYnwZ3NHAW8HvgEuC3wA7AK4EvAy+KiKMzM5sLcXQ6//zzmTt3LgcffPCYKczcddddTJ06tekwRp1JkyYxffr0Dba79tprnYip9tWvfpUVK1bw5je/uelQhmQs/r8dL7w/qSTzSSWZTyrJfFJJ5pNKsaDanPOA4zJzQevKiPgb4OvAf0TEDzPTGUxGn1uAlwI/au2JGhHvBq4EXkVVXP1OM+GppAULFviB28H06dO59NJLN9huxowZXHbZZY9/QGPAFVdcwT333DPmCqoavbw/qSTzSSWZTyrJfFJJ5pNK2aTpAEZaRPxZRGREfK9Lm/kR8VBEbF+/nhARb46IH0fEonrb0oj4WUS8aJBjLKy/touIj9f/XhMRpwNk5mfai6n1+vOAW6mGANinxDUPEt+JEfGdiLg9IlZFxIqImBsRxw3S/tL6fds8It4XEbdFxIMRcXNEnNTS7o0RcX19zDsj4gMRMWieRcQzI+L79ft5f0TMiYgjBmm7bf1e3lmf+6aIOIVB8jginh4RH46IX0XEPfX3bVFE/EdEPG2Ib9kjMvPnmfmD9sf6M/Muqp7HADOGe3xJkiRJkiSNXuOuh2pm/jIibgZeHBFTMnNJ6/aIOAh4JvCdzFxar94e+BTwC+CnVGOd/glwJPDjiDgpM7/c4XQTgJ/X+18MrKCaPGlD1tTLtW2xzaB6xPyyzJzRw3G6OQu4kWrM1t9TFXBfDHwtIp6Rme8dZL8LqIYq+HEd51FUvWnXAM+imgDrh8Bsql6c7wMeAD7S4Vi7AP9LNfboF6ne01cDP4mIYzPzmwMNI2KL+pgHAtdR9fB9AvBe4NBBYn0l8Eaq9+wXVOOc7gW8HjgyIg7IzN8N/hYNS8fvnSRJkiRJkvrDuCuo1s4F/g04Bvhs27YTWtoMWAZMy8w7WxtGxCRgLvDRiDgvM1e1HetPgN8Ah2bm/b0EFhF/Bvwp8Dtg6FNp927vzLyt7dwTgJ8A/xIRXxik2LhTve+99T5nAjcBnwDuBZ41sF/dG3cB8M8RcWZmthcZnw98LDPf0RLDZ6mKrF+IiJ9k5op609upiqnfBY4e6B0aER+mGoe2k68Bn8jMh9qu84j6Ok8D/mGQfYcsIjYDjq9f/k+p4wLccsst/OM//mPHbZdccknJU42I66+/niOPPLLpMHqyZs0aNt9886bDGDWuv/76Ye83Vr7nj5ebb76ZdevWjbn3Ybjfcz3+9txzz6ZDUB8xn1SS+aSSzCeVZD6plPFaUP0aMIuqePpIQbUuKL4G+ANVwQ2AuiB3Z9sxyMzlEfEV4EyqYt/lHc719iEUU7cHvlq//KfMfLityZXAnlQ9PjdKezG1Xrc6Ij4HHA7MbIml1b8MFFPrfW6PiDnAYVTX+ruWbfdGxA+AE4GnAovajrUc+GBbDL+KiPOovjevYH1h+3XAOuCdrY/aZ+YdEfFp4P0drqdj79PMvDgibgRe2Gn7RvgwsDfw48y8qOSBM5OVK1c+8nrixIkArFq1ijlz5gCw4447Mm3aNK688kpWr66G3t16663Zd999ufXWW7n77rsf2f/AAw9k5cqVzJ8//5F1u+++O1OnTn3keACTJ09mr7324sYbb2TZsmWPrD/kkEO46667WLBg/agVe+65J9tssw1XXXXVI+t22GEH9thjD+bNm8f999//yOREK1ascKb4ccbv+Xpj9X0YuK88nvcIgAkTJnDQQQexaNEiFi9e/EjbgUnQrr322kfWjYX73uN5Tc9+9rNZsmRJX11TP36fxso1PeUpT2HKlCl9dU39+H0aK9e0+eabM2XKlL66pn78PnlNXpPX5DWN92vacsst2WST4Y2GGuN1IvKIuBh4AbBXZv6mXvcq4EKqXo2ntLXfC3gHVa/KPwG2bDvksZl5fkv7hVQzv2/Vy2zvEbE1Va/GQ4CPZuapw7y09uOeQ1Wc3CUzF7as3wk4lapwuhMwsW3Xd2fmGS3tL6V6tP4JmfmoKbsj4uvA3wDTM/O6tm2zgPcAh2Tm3HrdzlRDH1ySmYd3iPlE4GzgU5n5tojYlmq4hMWZuVOH9jOoHus/NzNPbFkfdVwnAs8GJgObtuy6OjO3aD/ecETEW6mGhbgJOLhluIiNNnv27KsnTpy4Xz/8Je3II49k7ty5bLfdduyzz+M2RHBRy5cvZ9KkSU2HMWpcf/31rFixgkMPPXRIk1KNpe/54+Xmm29mzZo17L333k2HMiQD3/ODDz6YH/zgB02HoxZz5szhkEMOaToM9QnzSSWZTyrJfFJJ5pNazZ8/n1WrVl0zc+bM/Ye673jtoQpwDlVB9QSqwiJ0ftx/4DH8n1O9X7OB/6Yq8K0DpgMvAzoV5v4whGLqj6iKqR8vVUztcr5dqXq7TgauoBrfdTnwMLAz1fvQsdDYXkytDTzK321bp2em7+6wDuCuejmpbbmh9u0+DryNaozYi6iGURgYluFEYNog+w1JRLyZqpj6G2BmyWJqv9pnn33GTGHGD9xHGyiKD9VY+p4/XmbNmsXixYv54he/2HQoQzLc77kkSZIk9avxXFD9HlVR9LiIeDfVpEwvAq5r72VJNdbmROCwzLy0dUNEvIuqoNpJL8XUbamKqc+jYM/UDTiF6npfl5nntMVzDOsLy4+3HQZZP7VeLm9bbqj9IyLiycBbqcahfW5m3te2/ZihhdpZRLyNavzYG6iKqX8ocVxJ/ee000571CMskiRJkqSxaXgDBfSBegKpbwFPAf4COJaqwHxuh+a7A0vbi6m1wWaY36B6UquLqYqpHxqhYipU1wPwnQ7bhn09w7BfXVBuN6NezgOoi6ELgKdGxG5d2rfalSq/L+5QTH1avX2jRMSpVMXUa6mK7RZT+9AOOwxWx5eGznxSSeaTSjKfVJL5pJLMJ5VkPqmU8dxDFarH/l9PNTP7nlSPp5/Xod1C4BkR8azM/PXAyoj4O4Y5sVFETKYqph4AvD8zP7iBXYiIrajGO30gM387nPPWFtbLGcAjz+BGxAup3o+RMgl4H9XYtAMxHEA17ulyql7EA84GPgR8JCL+emBiqojYhaonaruF9fKQiNh0YIKviNgG+BIbmfsR8V6qCbWuBo7wMf/+tcceezQdwqh07bXXMmPGjJ7aaT3zSSWZTyrJfFJJ5pNKMp9UkvmkUsZ1QTUz50bEAuBoqjE+fzBIL8NPUhVO50TEt6iKfQdQjXl6IXDUME7/3foYtwGbRMTpHdp8PzNbqxEHUU2+dBmde2X26vPA64BvR8SFwP9RzU7/l1S9dl+9EcceisuB10fEc4C5VJN9vZqqZ+kbMnNFS9szgZcDrwKuiYiLgCcAf10f56WtB87MuyLiAuA1wLX1JGSTqMbNfZCqV+n04QQdESdQFVMfphqD9q3V/FePsrB9OAXBMcccw8EHH8xOOz1mbrFRa968eey7775NhzHqLF++nMsuu6zpMMaUk046iWXLlnHhhRc2HcqQjMX/t+OF9yeVZD6pJPNJJZlPKsl8UinjuqBaOxf415Z/P0Zm/k9EHEk1luqrqQppVwKHUT06PpyC6i71cjfg/YO0WUhV+CsqM38dEYcBs4CXUOXBdcArgXsZuYLqHcAbgQ/Xyy2Aa4APZuZFbTE/FBF/AZxex3cy1fszi6on66MKqrW/A26v278JuIdqQrH30Xm4g14NfO82pZr0qpPLqHpAq8Wxxx7bdAhDdv/99zcdwqgy3Bnqx9rM9o+XtWvXbrjRKDMW/9+OF96fVJL5pJLMJ5VkPqkk80mljPuCambOoirKbajdD4Efdth0OR0KZ5m58waO13X7IPtcCjymK+QG9jmRakb79vW/AA4fZLfHnCMzZwz1HPW206mKoK3rFradY7BJvdqPtYJqQq1TOmzuFPMDwHvqr3YzejnnIHGcTts1SePFGWec0XQIkiRJkiQ1atxOSiVJvZgwYULTIaiPbLKJH7sqx/uTSjKfVJL5pJLMJ5VkPqkUf7OTpC4OOuigpkNQH5kyZUrTIaiPeH9SSeaTSjKfVJL5pJLMJ5Uy7h/5lyJiZwYZsqCDT2bmvUM49nSqybQ2qB5KQKPMokWLmDZtWtNhqE84ZpNK8v6kkswnlWQ+qSTzSSWZTyrFgqoEOzP4xGDtzqGauKtX04dw7NOHcFyNkMWLF/uBq2IeeOCBpkNQH/H+pJLMJ5VkPqkk80klmU8qxYKqxr3hTPY1hGOfQ4dJyzQ2HHbYYaxcuZKrrrqq6VDUB+bNm8eqVauaDkN9wvuTSjKfVJL5pJLMJ5VkPqkkC6qSJI2AbbfdlojH5W83kiRJkqQR5KRUktTFxIkTmw5BfcR8Uknmk0oyn1SS+aSSzCeVZD6pFHuoSpI0Au677z7WrVvXdBiSJEmSpI1kQVWSunDMS5WydOlS1q5d23QY6iPen1SS+aSSzCeVZD6pJPNJpfjIvyRJkiRJkiT1KDKz6RgkdTF79uwlEbH9lltu2XQo484tt9zCunXreOYzn9l0KOoDN9xwAwB77713w5GoH3h/Uknmk0oyn1SS+aSSzCe1e/DBB8nMpTNnzpwy1H0tqEqj3OzZs+8AtgMWNhyKJEmSJElSv9gZWDFz5sxdhrqjBVVJkiRJkiRJ6pFjqEqSJEmSJElSjyyoSpIkSZIkSVKPLKhKkiRJkiRJUo8sqEqSJEmSJElSjyyoSpIkSZIkSVKPLKhKkiRJkiRJUo8sqEpSjyJij4g4NSJ+HhGLI2J1RNwdEf8VEYc1HZ9Gp4h4WkR8JSL+LyIeioiFEfHJiJjcdGwaWyJiSkS8PiK+FxELImJVRCyPiDkR8XcR4c912igRcVxEZP31+qbj0dgTETPre9Rd9Wfe/0XERRHx4qZj09gSES+JiIsj4s768+72iPh2RPx507FpdIqIoyLiMxFxRUSsqD/Lvr6BfZ4bET+OiKV1nv06It4WEZuOVNwauyIzm45BksaEiLgAeDXwG2AOsBR4BvBSYFPg5Mz8dHMRarSJiN2AXwBPBv4LuAk4CDgMuBk4ODOXNBehxpKIeCNwFvB74BLgt8AOwCuBScB3gKPTH+40DBGxI3A91efZNsBJmfnlZqPSWBIRHwXeAdwJ/AT4I/AkYH/gZ5n5zgbD0xgSER8B3gksAb5PlUu7U/3MvRlwfGZ2LZRp/ImIa4FnAyup7kPPBM7LzOMGaf8yqp+dHgS+SfW73ZFUv99dmJlHj0TcGrssqEpSjyLiROC6zJzXtv5Q4KdAAjtn5u8bCE+jUERcBBwBvDUzP9Oy/uPAPwFfzMw3NhWfxpaIOBzYGvhRZq5rWT8VuBLYETgqM7/TUIgaoyIiqD7HdgG+C/wzFlQ1BBFxEvAfwLnA32fm6rbtm2fmmkaC05hSf6b9DrgHeFZm/qFl22HAz4E7MnPXhkLUKFXnx53AAuBQqj8+dyyoRsR2dbtJVB0cflWv35Iqx/4cOCYzLxih8DUG+WiYJPUoM89pL6bW6y8DLgUmAM8d6bg0OtW9U48AFgKfa9v8fuB+4LURsfUIh6YxKjN/npk/aC2m1uvvAr5Qv5wx4oGpH7wVOBx4HdW9SepZRGwBfIiq1/xjiqkAFlM1BNOo6hT/r7WYCpCZlwD3UfV8lh4lMy/JzFt7fFLnKKo8umCgmFof40HgtPrlPzwOYaqPWFCVpDIGflFY22gUGk0GxtW9uEMB7D5gLrAV8GcjHZj6kvcgDUtE7Al8GPhUZl7edDwak15AVZj4LrCuHvvy1Ig42fEuNQy3AquBgyLiia0bIuL5wLbAz5oITH3l8Hr5Px22XQ48ADy3/oOR1NFmTQcgSWNdREwDZlJ98PrLqAY8o17eMsj2W6l6sD4dmD0iEakvRcRmwPH1y06/GEgd1bnzNaqehe9uOByNXQfWyweBecDerRsj4nKq4UjuGenANPZk5tKIOBX4OPCbiPg+1Viqu1GNofpT4A0Nhqj+MOjP6Zm5NiLuAPYCdgXmj2RgGjssqErSRqj/ankesAXwzsxc1nBIGj0m1cvlg2wfWP+EEYhF/e3DVAWMH2fmRU0HozHlfcC+wCGZuarpYDRmPblevoNq4s7nAddSjcn7Mao/Hn4bhyRRjzLzkxGxEPgKcFLLpgXAOe1DAUjD4M/p2mg+8i9pXImIhRGRQ/gadAbRiNiUqmfPwVQzQ35spK5DkgAi4q3A24GbgNc2HI7GkIh4DlWv1DMz83+bjkdj2sDvlGuBl2bmnMxcmZnXA6+gmiTmUB//V68i4p3AhcA5VD1Ttwb2B24HzouIjzYXnSRV7KEqaby5jeqRtF79X6eVdTH168DRwLeA43ocAF3jx8BfticNsn1g/b0jEIv6UES8GfgUVY+wmZm5tOGQNEbUj/p/lepRx/c2HI7GvoHPsXmZubB1Q2Y+EBEXAX8HHARYvFdXETED+Ajwvcw8pWXTNRHxCqr71tsj4guZeXsTMaov+HO6NpoFVUnjSmbO3NhjRMTmVI/5Hw18Azg+Mx/e2OOq79xcL58+yPY96uVgY6xKg4qItwGfAG6gKqb6+KOGYhvW35sejIhObb4UEV+imqzqbSMWmcaigc+7wQoPA8MhTRyBWDT2/VW9vKR9Q12gv5Kq5/O+VD1WpeG4GTiA6rPw6tYN9R8dd6HqdW+OaVAWVCVpCCJiAlWP1JdR9e55XfsM7lJt4BeBIyJik9Y8iYhtqYaKeAD4ZRPBaeyqJ+v4MNUYhS/IzD82HJLGnoeA/xxk235UhYo5VL9w2qNQGzIbSOBP2z/vagOTVN0xsmFpjBqYVf1Jg2wfWL96BGJR//o58DfAXwLnt217PrAVcHlmPjTSgWnscAxVSepRPQHV96iKqf+JxVR1kZm3ARcDOwNvatv8AarxwL6WmfePcGgawyLivVTF1KupeqZaTNWQZeaqzHx9py/gv+tm59brvtlkrBr9MnMR8ANgJ+Dk1m0RcQTwQqreq/8z8tFpDLqiXv59RDy1dUNEvIjqD9IPAr8Y6cDUVy4E/gi8JiIOGFgZEVsCs+qXZzURmMaOcMg/SepNRJwNnEj14ft5qt4Y7S7NzEtHMCyNYhGxG9UP/E8G/guYDzwHOIzqUf/nZuaS5iLUWBIRJ1BN0PEw8Bk6z0y7MDPPGcGw1Gci4nTg/cBJmfnlhsPRGBERT6P6vNuRqsfqPKpHZl9O9fPSazLzO81FqLEiIjYBLgL+AriPqjPDXcCeVMMBBPC2zPxUY0FqVIqIl1PdcwCmUv0x53bWF+n/mJn/3Nb+QqoC/QXAUuClwDPq9X/tHBnqxkf+Jal3u9TLJwLv69Lu0sc/FI0FmXlb/VfvD1I9UvRi4PdUEwl9IDOXddtfajNwD9oUGGxMy8uoiq6SNGIy886I2J/q56OXUj0yu4Kq5+oZmXllk/Fp7MjMdRHxYqqne15DNV7qVlTFrh8Dn87MixsMUaPXdOCEtnW71l8Ai4BHCqqZ+f2IOBR4D/AqYEtgAXAKVZ5ZTFVX9lCVJEmSJEmSpB45hqokSZIkSZIk9ciCqiRJkiRJkiT1yIKqJEmSJEmSJPXIgqokSZIkSZIk9ciCqiRJkiRJkiT1yIKqJEmSJEmSJPXIgqokSZIkSZIk9ciCqiRJkiRJkiT1yIKqJEmSJEmSJPXIgqokSZIkSZIk9ciCqiRJkiRJkiT1yIKqJEmSJEmSJPXIgqokSZI0xkXEHhFxQUTcFREPR0RGxDlDPMaUiFgeEbdFxGaPU6iqRcTF9fdqn6ZjkSRJQ2NBVZIkSRrDImJ74Arg1cCTgWXA3cDyIR7qPcB2wBmZubbDeSIijomIn0bEkoh4KCIWRsSXI+LpG4gxe/g6apB9p9XF4qURsSoiroyIIzdwvn+rj/nKobwBXY4XEfHyiDg3Im6pC88PRcTv68LoP0fEDh32O6eO49IOh/0Q1e9jZ5SIUZIkjZzIzKZjkCRJkjRMEfEm4LPALcCMzPz9MI6xU73/H4DdMnNN2/YJwDeBl9er1gL3AZPr16uA12Tmfw9y/IFfOv4IPDxIGK/PzB+27fdE4FrgqcA64CFgIpDAMZn5zQ7neiZwHTA7M1882DX3qi4WXwDs27J6NXA/8AQg6nWrgHdn5idb9j0HOAG4LDNndDj2FcAhwPMyc87GxipJkkaGPVQlSZKksW2vevmD4RRTa28CtgDOaS+m1j5MVUxdC5wMbJeZ2wM7At+hKnJeEBG7beA8B2bm1EG+ftih/SlUxdSLgCnANsBbqIqYH4uI6LDP56iKr2/ZQCwbFBHPBn5JVUxdBvwLVcF5i/r6twQOA84GJrC+4NyrL9fLf9rYWCVJ0sixoCpJkiSNbRPr5crh7FyPl3pC/fKCDtufTFVwBfj3zPx0Zq4CyMw7NKie7QAACq1JREFUgddQ9W6dCHxwODF0MbNenpKZ92bmusz8LHAN8DTgUUMNRMSxwOHARzLzto05cURsDVxI1Qv3dmC/zPxIZt4+0CYzV2fmpZn5t8D+wK1DPM33gAeBIyPiSRsTryRJGjkWVCVJkqRBRMSeEfGFetzMByLi3oi4PiI+HRH7D7LPvhHx9YhYXI+z+ceIuCgiXtXD+faOiK9ExB0R8WB9vrkR8caI2Lyt7aX1o/Qn1qve3zom6RAu88XADsCNmfmbDtsPp+p9CfDJ9o31eKufqV++MiK2GcK5N2RKvby9bf2CevnEgRURsR1wJnAbVY/ajfVGYHeq3q6vycyF3Rpn5nXA3w/lBJm5gqr37ebAccMLU5IkjTQLqpIkSVIHEfEW4HrgDcAeVIW1BPamepz8zA77/D3wK+BvqHpQPkA1zuYRwIUR8bWI2HSQ872ZauzP1wE7A2uoHnF/LnAWcHFEbNWyy1KqyacerF/fX78e+OrVEfVy7iDbp9XLezPzD4O0ualebkk1JmgpS+rlrm3rd2vbDjALmAq8JTMfZOO9oV5elJlX9bJDDm+CioH3/YiurSRJ0qhhQVWSJElqExFHA58GNqV67PtPM3ObzJxM1WvyOODqtn0GCp+b1PvsWLd/AnAaVTH2OOBdHc73cqpenvcD7wSelJnbAlsBf0n1KPkM4BMD+2TmKzNzKtVkUQAfax2TdAiXe3C9vHqQ7QNFwo6F4NpmLf/ea9BW8K2IWFb33L0zIr4TES/p0v7n9fLMiHhCRGwSEf9A9Xj9ncDNUPUKBv4R+F5m/qTL8XoSEU+lKqIDdJxoq6Bf1cvnRoS/n0mSNAb4gS1JkiS1qB+tHyhcnp+ZR2fm/IHtmbk0M8/LzLe37fqvVD9fz6V6RPzOuv3KzPwQ6x9DP7V+PH3gfJuy/lH6ozPz3zPzj/W+qzPzIuBFVL1d/zYi/qTgtW4J7FO//PUgzRbVy20j4mmDtPnTln93i+9AqsLsGqrJpl4J/DAivhUREzq0/wTwe6qi8hKqcWI/X297Z2ZmPTHVWVQ9dU/ucu6h2LPl39cVOuZgBo6/Xdt5JUnSKGVBVZIkSXq0mVTFvoeBd/SyQ0RsTzXbO8AZmflwh2YfoSr6bUM1bumAGVSP1d9QF08fo55g6ZdUPUFn9BJTj57M+p6nfxykzaVUBVDo8H7URdm3tqzatsMxzqUqik7OzO0ycxuq4uHZ9fajgc+271QPMXAw8G1gBdXvL78CXpGZ59fNTgKeA/xrZi6OiG0i4lMRcVc9Du2VEfGCQa5tMFNa/r10iPsO1TKq4SSgezFakiSNEhZUJUmSpEf7s3p5XWb+rsd99gWC6vH4yzo1yMzlrH+sfr+WTc+tl3vURcCOXy3tduz5SjbsiS3/XjZI3HcDX6xfviUi/jUinhoRm0fEfsCPqArCa+s26zoc48TMvCgz721Zd1Nm/i3w7/Wq10fEMzrse0dm/nVmTs7MLTPzwMz8PkBEPBE4A5gPfLzurfo9qgLvIqpC7DOAH0fEYe3HHg3qcVcH3pcndmsrSZJGBwuqkiRJ0qPtUC9/O4R9nlQvl2fmyi7t7mxrD+t7JW5Rn3uwry3rdq0TU22sLVr+vbpLu3cAP6EqGp9GdR2rqQrEhwPvZX1B9t5OB+jiA8Cq+th/NcR9PwpsD7wpM9fU+/8FVZH3zzPztcBLqHr2fmwIx22d7Gr7IcY0HAOTaE0cgXNJkqSNZEFVkiRJKmeLDTd5jIGfyf8rM6OHr9MLxtv6OPsTBmuUmQ9SFSuPBX4I3FZ//TfwQqrhDAb2v3UoAWTm/cAN9ctde90vIg4GTgS+kZmX1KsHCrKfz8x19fHnANcA+0VEr5N1zW/597N7jWkjTK6XS7q2kiRJo4IFVUmSJOnR7q6X04awzz31cmJEPKlLu4FJne5pWTdwvp2GcL5SWsdNnTxoKyAz12Xm+Zl5ZGbuXn+9LDMvpprYavO66f8+XsEOiIjNqCanug9onRxs4Ht2R9suC9q2d1UP9TBQGH7pMMPsSURswfqeqYONYytJkkYRC6qSJEnSo/2yXj4rIp7a4z7zqMZPhfWTUz1KREwC9q9fXtOyaaAAOZTzFZGZS1hfxNtlIw51TL28NjPnd23ZJiK2BvauX7YXQgfzVuBZwHsz864O27dsez2cR+n/o16+MCIO7GWHegzXodq5XiZw8zD2lyRJI8yCqiRJkvRos4HfAZuyfsKkrjJzKTDw2PmpEdHp5+xTqQp9K4Eft51vcS/ni4iuvUiH6Rf18oDh7BwRzwbeXL88o8P2DRUZ30tV8Ewe/b4Mdr6nAKcD1wGfa9u8qF7u39J+U6pJw1q39+ILwO1UvzNdEBE7byCuZ7F+8q6hGCjW3lQXuCVJ0ihnQVWSJElqUU9uNPAY+TER8a2IeObA9ojYPiJOiohPt+36XqoZ7vejKsA9rW6/TUS8G/iXut2HM3NF2/neTFVQPCYivh8R01vOt3lEHBARH6X3HpxDMadeDtoLMyIOi4i3R8TudYGSiJgUEW8Afk5VKP5WZn6rw+7fiogP1dcwoeWYz4iIL1EVmgHOzczf9BDvJ4FtgH/IzIfbtg0UZN8dEbvVsZ5GNdTCNYP0Zu2onlzsKKpJtnYFro6IUyPikZ68ETEhIg6NiK9Q9Tp+eq/HbzHwvl8+jH0lSVIDIjM33EqSJEkaZyLiFKoeowOdEFYCa1k/+dJlmTmjbZ83UI3tuQlVgfReYDuq3qcA5wEndCgEEhGvo+oVOVB0XFV/TWrZn8yMtv3OAU4APjCcCavqnpe3U800/+S6kNje5kTg7PrlWqqxS58ADMRyfn1dazrseylwaP3yYWA51eRdW7c0uxA4LjMf2kCsLwAuBv4zM1/fYXtQFXhn1KsepCr2rgWOaJm8qmd1Mf0CHj051UPAAzz6PVgJnJqZn2/Z9xyq781jcqWlza3A7sDhw4lPkiSNPHuoSpIkSR1k5sepHhU/G1hINelSAr8GPgX8U4d9vkjV4/AbwO+pelIuB34KHJ2Zx3Uqptb7ng08g6oH5o1UxcftqGZ+vxR4f729qMxcSDXswETgZYM0m1PHdQ3V9WxNNSzCt4G/zMxjOxVTa/8GfAa4CvhDve8mVL1tzwdemJlH91BM3YLqEf+lrO/t234tSTWJ1Ofqc0V93hcPt1iZmTdR5cErga8DtwFr6uu4m6rAewqwS2sxtRcRcQBVMfV2qu+xJEkaA+yhKkmSJI1zEXEUVXH0R5n5V03HM15ExJlUxdh3Z+Zjxp+VJEmjkwVVSZIkaZyrJ9GaB+wD7JWZ8xsOqe9FxCSqSbJWA7tl5n0NhyRJknrkI/+SJEnSOJeZ66geow/gPQ2HM168lWp83H+zmCpJ0tiyWdMBSJIkSWpeZv6knohr64jYLDPXNh1Tn1sGvA84q+lAJEnS0PjIvyRJkiRJkiT1yEf+JUmSJEmSJKlHFlQlSZIkSZIkqUcWVCVJkiRJkiSpRxZUJUmSJEmSJKlHFlQlSZIkSZIkqUcWVCVJkiRJkiSpRxZUJUmSJEmSJKlHFlQlSZIkSZIkqUcWVCVJkiRJkiSpRxZUJUmSJEmSJKlHFlQlSZIkSZIkqUcWVCVJkiRJkiSpRxZUJUmSJEmSJKlH/x/QoEItzgWgbQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 260, "width": 682 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "pew.plot(parameter=['lambda_2_'], ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this forest plot, we can see that the `var1` has a _protective_ effect, that is, customers with a high `var1` are much less likely to churn in the second billing periods. `var2` has little effect, but possibly negative. From a business point of view, maximizing `var1` for customers would be a good move (assuming it's a causal relationship). \n", "\n", "We can look at all the coefficients in one large forest plot, see below. We see a distinct alternating pattern in the `_intercepts` variable. This makes sense, as our hazard rate shifts between high and low churn regimes. The influence of `var1` seems to spike in the 3rd regime (`lambda_2_`), and then decays back to zero. The influence of `var2` looks like it starts to become more negative over time, that is, is associated with more churn over time. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "image/png": { "height": 315, "width": 659 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "pew.plot(columns=['intercept'], ax=ax);\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "pew.plot(columns=['var2'], ax=ax);\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "pew.plot(columns=['var1'], ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we suspect there is some parameter sharing between intervals, or we want to regularize (and hence share information) between intervals, we can include a penalizer which penalizes the variance of the estimates per covariate.\n", "\n", "Note: we do _not_ penalize the intercept, currently. This is a modellers decision, but I think it's better not too.\n", "\n", "Specifically, our penalized log-likelihood, $PLL$, looks like:\n", "\n", "$$\n", "PLL = LL - \\alpha \\sum_j \\hat{\\sigma}_j^2\n", "$$\n", "\n", "where $\\hat{\\sigma}_j$ is the standard deviation of $\\beta_{i, j}$ over all periods $i$. This acts as a regularizer and much like a multilevel component in Bayesian statistics. In the above inference, we implicitly set $\\alpha$ equal to 0. Below we examine some more cases of varying $\\alpha$. First we set $\\alpha$ to an extremely large value, which should push the variances of the estimates to zero. \n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 315, "width": 659 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Extreme case, note that all the covariates' parameters are almost identical. \n", "pew = PiecewiseExponentialRegressionFitter(\n", " breakpoints=breakpoints, \n", " penalizer=20.0)\\\n", " .fit(df, \"T\", \"E\")\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "pew.plot(columns=['var1'], ax=ax);\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "pew.plot(columns=['var2'], ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we suspected, a very high penalizer will constrain the same parameter between intervals to be equal (and hence 0 variance). This is the same as the model: \n", "\n", "$$\n", " h(t\\;|\\;x) = \\begin{cases}\n", " \\lambda_0(x)^{-1}, & t \\le \\tau_0 \\\\\n", " \\lambda_1(x)^{-1} & \\tau_0 < t \\le \\tau_1 \\\\\n", " \\lambda_2(x)^{-1} & \\tau_1 < t \\le \\tau_2 \\\\\n", " ...\n", " \\end{cases}\n", "$$\n", "\n", "and $\\lambda_i(x) = \\exp(\\mathbf{\\beta} x^T), \\;\\; \\mathbf{\\beta} = (\\beta_{1}, \\beta_{2}, ...)$. Note the resuse of the $\\beta$s between intervals. \n", "\n", "This model is the same model proposed in [\"Piecewise Exponential Models for Survival Data with Covariates\"](https://projecteuclid.org/euclid.aos/1176345693). \n", "\n", "One nice property of this model is that because of the extreme information sharing between intervals, we have maximum information for inferences, and hence small standard errors per parameter. However, if the parameters effect is truely time-varying (and not constant), then the standard error will be inflated and a less constrained model is better. \n", "\n", "Below we examine a inbetween penalty, and compare it to the zero penalty. " ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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OO+4YgYowEpKcUZw+hpJTO3JEJRs2aPTWrbI335QbP17H589XZ3W13MSJI1wpTld8lsKHgmhMmtlESSskzZNUKek9kookLXbOPeuzNmRmZm+X9FeS/lzSHEnvktQpaYek9ZLWO+d6/FWIpOvpIT4I39GjR32XcFp59NFHtX//fpWXl2vZsmW+y0mEJGd0586dqqur813GiCl59FGN2r9fPeXl6jyN8zycjPJZgHwbVE67ulS6Zo3GrF8va28/aVPJU0+pdO1aHbv2WrXfeqvEnUHIsST/eZ9U/DleII1JSdMl3RV/3SzpfyUxOUIyXClpnaTXJD0nab+in92HJf0/SR80syudc85fiUiqs846S62trb7LABCYDRs2qK6uTlVVVTQjTiMTJkzQvHnzsu7X0NCglpaWPFSUGyUbNqi4rk5dVVWn7V9ohovPAgSnq0tl11yj4k2bTjx39tlSebm0f7/U3Cxrb9fY++9X0e7danv4YZqTQMLx53jhNCabJF0uqd4590bKLdcI36uS/kLSU6kjI83s85K2SfqIoibl437KQ5I9/fTT2rZtm+8ygKxKSkp8lwBkVAgZnTdvnjZv3px1v4ULF2rLli0jXxByqhAyisKXLaela9acaEpWVkp33SVddpk0apTU0yPV1Eg33yzV16t40yaV3n672r/4xTxUjtMFn6Xw4ZQWvzGzi8zMmdkPM+zTaGbHzOxt8fclZnajmf3EzJribW+Y2bNm9sEBzrEv/u9MM7s3/rrLzG6TJOfcYedcjXPujVO5nuEys+Vm9riZ/cbM2s2s1czqzOyaAfbfHL9vxWa22sx+bWYdZvaKma1I2e8GM9sRn7PZzNaY2YA/MzN7r5k9Eb+fR82s1syWDLDv+Pi9bI5f+1dm9mkNkAkze4+Z3WlmvzCz38U/tyYz+7aZnT3Et6yPc+5nzrkn+9+u7Zw7KOmb8bcLh3t+4MILL/RdApAVOUXoyChCR0aRBJlyakeOaMz69dE3lZXS889Ll18eNSWl6HHx4uj5eA7AMd/5jixBI7wRPj5L4cMpNSadcz+X9IqkP4vnCjyJmV0o6b2SnkxpGr5N0tckjZe0SdK9kn6saG7In5jZ9QO8XImkn0n6kKSN8Tn2Drd2M1sYNwc3D/ccKdZJmibpeUlflfRY/P13zSzTP2E9JunvJNVI+ndJEyV9O2503ivpS5JelPQtRfMurpb02QHOdY6k/1b0/n5L0vclnS/pp2Z2VeqOZjYmfs1/UnTb+9ckbZH0L5K+MsD5PyzpBkkHJG2Q9HVJv5R0vaTtZvauDNc5XF3x4/ERODdOE01NTb5LALIipwgdGUXoyCiSIFNOSzZsODGn5F13SWVl6XcsK5O+/GVJkrW3q2TDhlyXidMYn6XwIRe3cj8k6V8lVUu6r9+2j6Xs0+uwpGnOuebUHc1sgqQ6SXeZ2SPOuZNn+pXOUtQIu8Q5F9qMrLOdc79OfcLMSiT9VNLnzOybzrnfpjmuPD72SHzMPZJ+pag5eETS+3qPi0eH7pF0k5nd45zr36y7WNLdzrm+xqWZ3aeoWflNM/upc653sr3PSLpA0n9KurJ3tKKZ3SnphQGu8buSvuKcO9bvOpfE1/nPklYOcOyQmdloSX8bf/t0rs776quv6hOf+ETabc8991yuXgaBmDt3rjo6OvTKK6/4LgXI6MCBA5o2bZrvMk47O3bs0NKlS32XkQgtLS2aMGGC7zKGZceOHcM+Lgn5+PqOHaqU1PHzn2vf9Om+y/Hm+PHj2jd6aH+16YgXeSjasUNlCfhZI/nObmlR2QCfpUWNjfFOZ0e3b2eyaFG0X3Ozxt59t4qfeirHleJ0lSmjGBlFw/w9pZDkojH5XUlrFTUh+xqTcWPubyQdUtS4kiTFja3mfueQc67FzL4j6R5FTbPn07zWZ3LYlNwmqULSH071RP2bkvFznWb2DUmXSVok6T/SHPq53qZkfMxvzKxW0qWKrvW3KduOmNmTkpYrWrm6/z9ltEi6vV8NvzCzRxT9bP5KJxrE10rqkbQq9RZq59xeM/s3SbemuZ50jVU55zaa2S5JH0i3/RTcKWm2pJ84557J1Umdc2pra+v7vrS0VJLU3t6u2tpaSdLUqVM1bdo0bdu2TZ2dnZKkcePGqbKyUrt379brr7/ed/wFF1ygtrY2Nfb+IiFpxowZmjJlSt/5JGnSpEmaNWuWdu3apcOHD/c9v2DBAh08eFB79uzpe66iokJlZWXavn1733OTJ0/WzJkzVV9f37dSWklJiS688EI1NTXpwIEDffv2Tuzf0NDQ99zpek0dHR2SpGPHjhXMNRXiz4lrOqGQrinkn1N7PCKltbW1oFdrxqlJSj56b+Ic392tShZ8G5Le8WjW2qriBPyskXzvGMxO5eUnbt8eyKhR0tSpUnOzRr3xhkaRX+TIoDKKEdHS0qL/rq1N7O/lY8eO1ahsn10DsFwsdmxmGyUtljTLOffL+LmPSPqBolF2n+63/yxFtyRfrGgk5Nh+p1zmnNuQsv8+RSs1nzGY1ZlTFr9Z7Jx7dpiXlem85zjn9qU8Xy7pZkUNyHJJpf0O/bxz7o6U/TdLukTSROfcSZOCmNnDkq6WNM8591K/bWslfUHSAudcXfzcdEW3tD/nnHvLP62Z2XJJ6yV9zTn3KTMbL6lV0gHnXHma/RcqWh37Iefc8pTnLa5ruaS5kiZJKko5tNM5N6b/+YbDzD6p6PbyX0mqytXcoTU1NS+UlpaeV1FRkYvTIQEYMYmkqK2t1YIFC3yXcdpYunSp6urqdOaZZ2rOnDm+y0mEpI+YbG1t1SWXXDKkxW+Sko+v79ihytZWvVlUpD3jxvkux5vjx49r9BBHTK44elQvdHfr4jPP1LMJ+Fkj+TJ9lhY1NmrUG29EIyGbmjI3J3t6pGnTpOZm9bztberm7zfIkST/eZ9URTt2aFRrq7qqqtT25JO+yxm2xsZGtbe3v7ho0aLzh3psrlblflBRY/Jjihp0UvrbuGVmFymaK3K0onkOf6yoUdYjaZ6kv5SUrsF1aDBNyXwzs3crGn05SdJ/KZr/skVSt6Tpit6HtA27/k3JWO8t2pm2FafZ9nqa5yTpYPw4od9jtv37u1fSpyS9JukZSb+V1Hu7/XJFc2qeMjO7UVFT8peSFvla0AiFg5XlkAS9I/6QX3PmzNGTCf4FMJ/a2tpUNtB8Z4HrbUQPVVLyUbZ0qVRXp7EXXaTpCah3pAwno2Pj9657zpxE/2UQydHe1qaiAXI6Zt06nfGFL0jNzdLPfhYtfDOQmppoP0kdN92kYzfcMBLl4jSUKaMYGWVLl572o55z1Zj8oaLm4jVm9nlJb5f0QUkv9R/1p2guwlJJlzrnNqduMLNbFDUm0wmuKRn7tKLrvdY592DqBjOr1okG7UibPMDzU+LHln6P2fbvY2bvlPRJSTslzXfOvdlve/XQSk3PzD6laH7NnYqakodycV4AAAAACFlndbVK166NFsBZtSpafTtdg6itTbo5GgvkSkvVWZ2Tv4oBgDentCp3r3ihmu9J+iNJl0tapqjp+VCa3WdIeqN/UzJ2SS7qybMZ8ePjabbl83rOi2/T7m9h/FgvSXFTcY+kd5nZH2fYP9W7FWVlY5qm5Nnx9lNiZjcrako2KGpa05RETvTOywGELHVuRCBEZBShI6NIgkw5dRMn6ti110bf1NdLF18sbdoU3bYtRY8bN0bP19dLko5dd50ct90ih/gshQ+5GjEpRbdzX69oJeUKRbcdP5Jmv32SzjWz9znnXu590sw+rtwvoDIgMztD0XyQf3DO7T+FU+2LHxdK6rsHxMw+oOj9yJcJklYrmruzt4b3K5oXskXRqNZe6yV9SdKXzeyjKatyn6NoZGR/++LHBWZW5Jzrjvcvk/SATjFHZvYvihbueUHSEm7fBgAAudbQ0KCFCxcOaj8A8KH91ltVtHu3ijdtipqPS5ZEc05OnSodONB3+7YkdS1erPbVqz1WCwC5kbPGpHOuzsz2SLpS0RyITw4w6u2rihqQtWb2PUVNs/dLWqBosZy/Hs7rm9ndOrGIVO8KAp81s2vir59wzj2RcsiFihZ52aL0owQH635Fq1x/38x+IOl/FK0mfYWiUaRXncK5h+J5Sdeb2Z9IqlO0qNBVikY6/r1zLnWZxnskfUjSRyS9aGbPSJoo6aPxef4i9cTOuYNm9piiVdYb4sWOJiiaV7RD0SjHYU2QZmYfU9SU7FY0R+cno3V2TrKv/23ywGCsWLFCe/fu9V0GgMBUV1erqqpK5eVvWQMOBaylpUVbtmzxXUbOdVZX63hVlXrI85DxWYDgFBer7eGHVbpmjcasXx/d1t3cfFJD0pWW6th110VNyeJ0Sw8ASBL+HM/tiEkpunX7iylfv4Vz7mkzW6porsmrFDWktkm6VNEtwcNqTMbH9V+AZUnK1/skPaEcc869bGaXSlor6c8VvacvSfqwpCPKX2Nyr6QbJN0ZP46R9KKk251zz/Sr+ZiZXS7ptri+f1T0/qxVNLLypMZk7OOSfhPv/w+Sfqdo4aLVSn8b+2CdEz8WKVpcJ50tikbkAkNy4403qqmpyXcZQFZTp071XcJpZdmyZb5LSJwkZ3T27Nl5PS7fOsmzpOFllM8C5NugclpcrPa1a9Vx000qeewxjd66Vfbmm3Ljx+v4/PnqrK7m9m2MmCT/eZ9U/DkuWYALXQMjoqam5oXS0tLzKioqfJcCAAAAAABQEBobG9Xe3v7iokWLzh/qsTlZ/AYAQnTfffdp1apVvssAstq2bZvvEoCMyChCR0aRBOQUoSOj8IHGJICC9cADD+hHP/qR7zKArFg9HqEjowgdGUUSkFOEjozCh1zPMYnTnFvvq0IAACAASURBVJlNl7R8kLt/1Tl3ZAjnnqdo0Z6snHO3Dfa8AAAAAAAAyD8ak8i16ZJuHeS+DypaIGiw5g3h3LcN4bwoYKNGMTAc4Rs3bpzvEoCMyChCR0aRBOQUoSOj8IHGJHLKObdZko3QuR8Uq3NjiEpKSnyXAGRVWVnpuwQgIzKK0JFRJAE5RejIKHxgKBGAgtbV1eW7BCCr3bt3+y4ByIiMInRkFElAThE6MgofaEwCKGjd3d2+SwCyev31132XAGRERhE6MookIKcIHRmFDzQmAQAAAAAAAOQdc0wCKFgvvfSSamtrfZcBAAAAAADSYMQkgIJ2wQUX+C4ByIqcInRkFKEjo0gCcorQkVH4QGMSQEFra2vzXQKQFTlF6MgoQkdGkQTkFKEjo/CBxiSAgnXFFVdo6dKlvssAsmpsbPRdApARGUXoyCiSgJwidGQUPjDHJICC9dprr6mjo8N3GQAAAAAAIA1GTAIAAAAAAADIOxqTAApacXGx7xKArGbMmOG7BCAjMorQkVEkATlF6MgofKAxCaCgFRUV+S4ByGrKlCm+SwAyIqMIHRlFEpBThI6MwgcakwAKGnNMIglqa2t9lwBkREYROjKKJCCnCB0ZhQ80JgEAAAAAAADkHatyAyhY8+fP16FDh3yXAQAAAAAA0qAxCaBgrVu3Trt27fJdBpDVpEmTfJcAZERGEToyiiQgpwgdGYUP3MoNoKDNmjXLdwlAVuQUoSOjCB0ZRRKQU4SOjMIHGpMACtbWrVv1yCOP+C4DyIqRvQgdGUXoyCiSgJwidGQUPnArN4CCtXLlSnV0dOjqq6/2XQqQ0eHDh32XAGRERhE6MookIKcIHRmFD4yYBAAAAAAAAJB3NCYBAAAAAAAA5B2NSQAFbezYsb5LALJasGCB7xKAjMgoQkdGkQTkFKEjo/CBxiSAgtbd3e27BCCrgwcP+i4ByIiMInRkFElAThE6MgofaEwCKGhdXV2+SwCy2rNnj+8SgIzIKEJHRpEE5BShI6PwgcYkAAAAAAAAgLwb7bsAABgp69at08svv+y7DAAAAAAAkAaNSQAFa/78+Tr33HN9lwFkVVFR4bsEICMyitCRUSQBOUXoyCh84FZuAAWtrKzMdwlAVuQUoSOjCB0ZRRKQU4SOjMIHGpMACtbKlSu1bNky32UAWW3fvt13CUBGZBShI6NIAnKK0JFR+MCt3AAK1tatW9XR0eG7DAAAAAAAkAYjJgEAAAAAAADkHY1JAAWtqKjIdwlAVpMnT/ZdApARGUXoyCiSgJwidGQUPtCYBFDQiouLfZcAZDVz5kzfJQAZkVGEjowiCcgpQkdG4QONSQAFrbOz03cJQFb19fW+SwAyIqMIHRlFEpBThI6MwgcakwAKWk9Pj+8SgKyOHj3quwQgIzKK0JFRJAE5RejIKHxgVW4ABeuss85Sa2ur7zIAAAAAAEAaNCYBFKynn35a27Zt810GkFVJSYnvEoCMyChCR0aRBOQUoSOj8MGcc75rAPKipqbmhdLS0vMqKip8lwIAAAAAAFAQGhsb1d7e/uKiRYvOH+qxzDEJoKA1NTX5LgHIipwidGQUoSOjSAJyitCRUfhAYxJAwZo7d66WLFniuwwgqwMHDvguAciIjCJ0ZBRJQE4ROjIKH2hMAgAAAAAAAMg7GpMAAAAAAAAA8o7GJICCxspySIJ58+b5LgHIiIwidGQUSUBOEToyCh9oTAIAAAAAAADIOxqTAApaZ2en7xKArBoaGnyXAGRERhE6MookIKcIHRmFDzQmAQAAAAAAAOTdaN8FAMBIWbFihfbu3eu7DAAAAAAAkAaNSQAF68Ybb1RTU5PvMoCspk6d6rsEICMyitCRUSQBOUXoyCh84FZuAAVt2rRpvksAsiKnCB0ZRejIKJKAnCJ0ZBQ+0JgEULDuu+8+rVq1yncZQFbbtm3zXQKQERlF6MgokoCcInRkFD5wK/cQmNmDkj4m6Rzn3D6/1UTMbLqkvZIecs4tD+18gE8PPPCAOjo6dNddd/kuBciI1eMRutSM3nLLLdq5c+eQzzF79mzdcccduSwL6MPnaP7YkSMq2bBBo7dulb35ptz48To+f746q6vlJk70XV7QyClCR0bhQ0E0Js1soqQVkuZJqpT0HklFkhY75571WRuyM7O/lnSJop/fXEnjJT3inLvGa2EAAD366KPav3+/ysvLtWzZMt/lQFLJo49q1P796ikvV6eHn8nOnTtVV1eX99dFYeAzJcG6ulS6Zo3GrF8va28/aVPJU0+pdO1aHbv2WrXfeqtUXOypSACnI9+/G+HUFERjUtJ0Sb1Dopol/a+kyd6qwVD9s6KGZJuin997/ZaDQjJqFDNWIHzjxo3zXcKANmzYoLq6OlVVVdFECETJhg0qrqtTV1VV3n75TpfRCRMmaN68eVmPbWhoUEtLy0iUhQQaqc+UkD9HC0JXl8quuUbFmzadeO7ss6Xycmn/fqm5WdberrH336+i3bvV9vDDNCfTIKcIXVIz6uN3I+ROoTQmmyRdLqneOfdGyi3XSIZ/UtSQ3KNo5ORzfstBISkpKfFdApBVZWWl7xKAjNJldN68edq8eXPWYxcuXKgtW7aMQFXACXyOjqzSNWtONCUrK6W77pIuu0waNUrq6ZFqaqSbb5bq61W8aZNKb79d7V/8ot+iA0ROEToyCh9OaSiRmV1kZs7Mfphhn0YzO2Zmb4u/LzGzG83sJ2bWFG97w8yeNbMPDnCOffF/Z5rZvfHXXWZ2myQ55w4752qcc2+cyvUMl5ktN7PHzew3ZtZuZq1mVmdmaW9FNrPN8ftWbGarzezXZtZhZq+Y2YqU/W4wsx3xOZvNbI2ZDfgzM7P3mtkT8ft51MxqzWzJAPuOj9/L5vi1f2Vmn9YAmTCz95jZnWb2CzP7XfxzazKzb5vZ2UN8y07inHvOObfbOedO5TxAOl1dXb5LALLavXu37xKAjMgoQkdGR44dOaIx69dH31RWSs8/L11+edSUlKLHxYuj5+OmxpjvfEfGSOm3IKcIHRmFD6fUmHTO/VzSK5L+zMze3n+7mV2o6LbcJ1Oahm+T9DVF8whuknSvpB8rmhvyJ2Z2/QAvVyLpZ5I+JGljfI69w63dzBbGzcHNwz1HinWSpkl6XtJXJT0Wf/9dM8v0T4WPSfo7STWS/l3SREnfjhud90r6kqQXJX1LUqek1ZI+O8C5zpH034re329J+r6k8yX91MyuSt3RzMbEr/lPim57/5qkLZL+RdJXBjj/hyXdIOmApA2Svi7pl5Kul7TdzN6V4ToBb7q7u32XAGT1+uuv+y4ByIiMInRkdOSUbNhwYk7Ju+6SysrS71hWJn35y5Ika29XyYYNeaowOcgpQkdG4UMubuV+SNK/SqqWdF+/bR9L2afXYUnTnHPNqTua2QRJdZLuMrNHnHMnz6gsnaWoEXaJc+5oDurOpdnOuV+nPmFmJZJ+KulzZvZN59xv0xxXHh97JD7mHkm/UtQcPCLpfb3HxaND90i6yczucc4d73euiyXd7Zzra1ya2X2KmpXfNLOfOuda402fkXSBpP+UdKVzrife/05JLwxwjd+V9BXn3LF+17kkvs5/lrRygGOD8eqrr+oTn/hE2m3PPccd5AAwkB07dmjp0qW+y4Ckr+/YoUpJHT//ufZNn56X15xy/Lj2jY5+bew4Orxfw/JZL8LVm5+iHTtUlsPPlD9taVHZhAk5Ox9OKGpsjL44++zo9u1MFi2K9mtu1ti771bxU0+NfIEJQk4RuqRmtGjHDt8l4BTkojH5XUlrFTUh+xqTcWPubyQdUtS4kiTFja3mfueQc67FzL4j6R5FTbPn07zWZ3LYlNwmqULSH071RP2bkvFznWb2DUmXSVok6T/SHPq53qZkfMxvzKxW0qWKrvW3KduOmNmTkpZLepeieTVTtUi6vV8NvzCzRxT9bP5KJxrE10rqkbSqtykZ77/XzP5N0q1priddY1XOuY1mtkvSB9JtD41zTm1tbX3fl5aWSpLa29tVW1srSZo6daqmTZumbdu2qbOzU1I0CXBlZaV279590r8iXXDBBWpra1Nj7y9skmbMmKEpU6b0nU+SJk2apFmzZmnXrl06fPhw3/MLFizQwYMHtWfPnr7nKioqVFZWpu3bt/c9N3nyZM2cOVP19fU6Gv9CX1JSogsvvFBNTU06cOBA3769CxE0NDT0PXe6XtM3vvENSdKxY8cK5poK8efENZ0Q4jW1x6NkWltbWYk5EL03R47v7lZla2vGfUfCAGOlsh/nqV6EpTc/1tqq4hx+prwjZ2fCgMrLT9y+PZBRo6SpU6XmZo164w2N4s+Nk5BThC7pGW1padHL9fX8XcPDNY0dO3bYC89aLqb1M7ONkhZLmuWc+2X83Eck/UDRKLtP99t/lqJbki9WNBJybL9TLnPObUjZf5+iVbbPGMw8hCmL3yx2zj07zMvKdN5znHP7Up4vl3SzogZkuaTSfod+3jl3R8r+mxUt8jLROXfS5Ctm9rCkqyXNc8691G/bWklfkLTAOVcXPzdd0S3tzznn3vJPmGa2XNJ6SV9zzn3KzMZLapV0wDlXnmb/hYoWn3nIObc85XmL61quaAXtSZKKUg7tdM6N6X++oUp5/Uecc2nn6ByumpqaF0pLS8+rqKjI5WkRuGPHjmnMmFOOJjCiQs7p0qVLVVdXpzPPPFNz5szxXQ4Uj5hsbdWbRUXak6fVM50ki79ecfSoXuju1iWXXDKkxW/OLyrSAwld7RO505ufi888U8/m8DPF9fTIhvkXImRW1NioUW+8EY2EbGrK3Jzs6ZGmTZOam9Xztrepm9+7T0JOEbqkZrRoxw6Nam1VV1WV2p580nc5p6XGxka1t7e/uGjRovOHemyuVuV+UFFj8mOKGnRS+tu4ZWYXKZorcrSieQ5/rKhR1iNpnqS/lJTub2eHQlwcxczerWj05SRJ/6Vo/ssWSd2Spit6H9L+bbN/UzLWe4t2pm3FabYNNBnEwfhxQr/HbPv3d6+kT0l6TdIzkn4rqfd2++WK5tQEgtPW1hZswwfolYSczpkzR0/yi14QypYulerqNPaiizQ9Tz+T3//+93r726PpxMfGrz9U+awX4erNT/ecOTn9y2NqRpFbY9at0xlf+ILU3Cz97GfRwjcDqamJ9pPUcdNNOnbDDXmqMhnIKUKX1IyWLV3KCO0Ey1Ur/IeKmovXmFmRmb1T0gclvdR/1J+iuQhLJS1xzn3QOfcp59xq59xtkv6/DK8RXFMy9mlJb5f0cefcQufcJ51z/xJfzzN5rGPyAM9PiR9b+j1m279P/PP8pKSdks51zl3jnLvZOXdbfJ3H+h8DhOCKK65gTjwkQurtF0CIyChCR0ZHTmd1tVw8/ZFWrZJSpkU6SVubdHM0RsWVlqqzujpPFSYHOUXoyCh8yEljMl6o5nuS/kjS5ZKWKRoR+VCa3WdIesM5tznNtktyUU+ezYgfH0+zLZ/Xc158m3Z/C+PHeklyzr2paBGdd5nZH2fYP9W7FWVlY3x8HzM7O94OBOe1117T73//e99lAAAAJJabOFHHrr02+qa+Xrr4YmnTpui2bSl63Lgxer6+XpJ07Lrr5BK4gAYAIP9ydSu3FN3Ofb2kv1W0qMxxSY+k2W+fpHPN7H3OuZd7nzSzjyuPC6iY2RmK5oP8g3Nu/ymcal/8uFBS3/0oZvYBRe9HvkyQtFrR3J29Nbxf0byQLYpGtfZaL+lLkr5sZh9NWZX7HEUjI/vbFz8uMLMi51x3vH+ZpAeU2xwBAIAEaGho0MKFCwe1H4Bka7/1VhXt3q3iTZui5uOSJdGck1OnSgcO9N2+LUldixerffVqj9UCAJIkZw0l51ydme2RdKWiORCfdM4dSrPrVxU1IGvN7HuKmmbvl7RA0WI5fz2c1zezu3ViEakF8eNnzax3AZUnnHNPpBxyoaJFVrYo/SjBwbpf0SrX3zezH0j6H0mzJV2haBTpVadw7qF4XtL1ZvYnkuoULSp0laKRjn/vnEtdBvMeSR+S9BFJL5rZM5ImSvpofJ6/SD2xc+6gmT2maJX1hnixowmK5hXtkNSgaH7QYTGzD8X1SCduJf/TeLEhSfpf59xNwz0/Tm/FxemmZAXCMmPGjOw7eVJdXa2qqiqVl79lvTR40lldreNVVerJ488kXUZbWlq0ZcuWvNWAwjBSnykhf44WhOJitT38sErXrNGY9etl7e1RMzKlIelKS3XsuuuipiS/f6VFThG6pGbUx+9GyJ1cj3R7SNIXU75+C+fc02a2VNFck1cpWiRmm6RLFd0SPKzGZHxc/wVYlqR8vU/SE8ox59zLZnappLWS/lzRe/qSpA9LOqL8NSb3SrpB0p3x4xhJL0q63Tl30lyXzrljZna5pNvi+v5R0fuzVtHIypMak7GPS/pNvP8/SPqdooWLViv9bexDMU8nFkvq9W6duEW8SRKNSQxLUVFR9p0Az6ZMecv0vsFYtmyZ7xLQT6eHn0lqRmfPnj2scwz3OBSWkfpMCflztGAUF6t97Vp13HSTSh57TKO3bpW9+abc+PE6Pn9+NBclt29nRE4RuqRm1MfvRsgdC3Cha2BE1NTUvFBaWnpeRUWF71KQJ3PnzlVHR4deeeUV36UAGdXW1mrBggXZdwQ8IaMIHRlFEpBThI6MYrgaGxvV3t7+4qJFi84f6rG5WpUbAAAAAAAAAAaNRUsAFKz58+fr0KF0U90CAAAAAADfaEwip8xsuqTlg9z9q865I0M49zydWCQnI+fcbYM9LwrXunXrtGvXLt9lAFlNmjTJdwlARmQUoSOjSAJyitCRUfjAHJPIKTNbqGi188E4xzm3bwjnXi5p/WD2dc5Z/+eYYxIAAAAAACC3mGMSwXDObXbO2SD/2zfEcz842HOP0OUhYbZu3apHHnnEdxlAVozsRejIKEJHRpEE5BShI6PwgVu5ARSslStXqqOjQ1dffbXvUoCMDh8+7LsEICMyitCRUSQBOUXoyCh8YMQkAAAAAAAAgLyjMQkAAAAAAAAg72hMAihoY8eO9V0CkNWCBQt8lwBkREYROjKKJCCnCB0ZhQ80JgEUtO7ubt8lAFkdPHjQdwlARmQUoSOjSAJyitCRUfhAYxJAQevq6vJdApDVnj17fJcAZERGEToyiiQgpwgdGYUPNCYBAAAAAAAA5N1o3wUAwEhZt26dXn75Zd9lAAAAAACANGhMAihY8+fP17nnnuu7DCCriooK3yUAGZFRhI6MIgnIKUJHRuEDt3IDKGhlZWW+SwCyIqcIHRlF6MgokoCcInRkFD7QmARQsFauXKlly5b5LgPIavv27b5LADIiowgdGUUSkFOEjozCB27lBlCwtm7dqo6ODt9lAAAAAACANBgxCQAAAAAAACDvaEwCKGhFRUW+SwCymjx5su8SgIzIKEJHRpEE5BShI6PwgcYkgIJWXFzsuwQgq5kzZ/ouAciIjCJ0ZBRJQE4ROjIKH2hMAihonZ2dvksAsqqvr/ddApARGUXoyCiSgJwidGQUPtCYBFDQenp6fJcAZHX06FHfJQAZkVGEjowiCcgpQkdG4QOrcgMoWGeddZZaW1t9lwEAAAAAANKgMQmgYD399NPatm2b7zKArEpKSnyXAGRERhE6MookIKcIHRmFD+ac810DkBc1NTUvlJaWnldRUeG7FAAAAAAAgILQ2Nio9vb2FxctWnT+UI9ljkkABa2pqcl3CUBW5BShI6MIHRlFEpBThI6MwgcakwAK1ty5c7VkyRLfZQBZHThwwHcJQEZkFKEjo0gCcorQkVH4QGMSAAAAAAAAQN7RmAQAAAAAAACQdzQmARQ0VpZDEsybN893CUBGZBShI6NIAnKK0JFR+EBjEgAAAAAAAEDe0ZgEUNA6Ozt9lwBk1dDQ4LsEICMyitCRUSQBOUXoyCh8oDEJAAAAAAAAIO9G+y4AAEbKihUrtHfvXt9lAAAAAACANGhMAihYN954o5qamnyXAWQ1depU3yUAGZFRhI6MIgnIKUJHRuEDt3IDKGjTpk3zXQKQFTlF6MgoQkdGkQTkFKEjo/CBxiSAgnXfffdp1apVvssAstq2bZvvEoCMyChCR0aRBOQUoSOj8IHGJICC9cADD+hHP/qR7zKArFg9HqEjowgdGUUSkFOEjozCBxqTAAAAAAAAAPKOxiSAgjZqFB9zCN+4ceN8lwBkREYROjKKJCCnCB0ZhQ/8jR1AQSspKfFdApBVZWWl7xKAjMgoQkdGkQTkFKEjo/CBxiSAgtbV1eW7BCCr3bt3+y4ByIiMInRkFElAThE6MgofaEwCKGjd3d2+SwCyev31132XAGRERhE6MookIKcIHRmFDzQmAQAAAAAAAOTdaN8FAMBIeemll1RbW+u7DAAAAAAAkAYjJgEUtAsuuMB3CUBW5BShI6MIHRlFEpBThI6MwgcakwAKWltbm+8SgKzIKUJHRhE6MookIKcIHRmFDzQmARSsK664QkuXLvVdBpBVY2Oj7xKAjMgoQkdGkQTkFKEjo/CBOSYBFKzXXntNHR0dvssAAAAAAABpMGISAAAAAAAAQN7RmARQ0IqLi32XAGQ1Y8YM3yUAGZFRhI6MIgnIKUJHRuEDjUkABa2oqMh3CUBWU6ZM8V0CkBEZRejIKJKAnCJ0ZBQ+0JgEUNCYYxJJUFtb67sEICMyitCRUSQBOUXoyCh8oDEJAAAAAAAAIO9YlRtAwZo/f74OHTrkuwwAAAAAAJAGjclBMrMHJX1M0jnOuX1+q4mY2XRJeyU95JxbHtr5AN/WrVunXbt2+S7jtGFHjqhkwwaN3rpV9uabcuPH6/j8+eqsrpabONF3eUGbNGlS3l7rlltu0c6dO4d83OzZs3XHHXeMQEVIgnxmFBgOMookIKcIHRmFD4lvTJrZREkrJM2TVCnpPZKKJC12zj3rszYMjpmdLel2SVdIeruk1yQ9IWmNc+6wz9pCVfLooxq1f796ysvVuWyZ73KCNmvWLN8lJMqjjz6q/fv3q7y8XMsGm62uLpWuWaMx69fL2ttP2lTy1FMqXbtWx669Vu233iqxSnpa+czpzp07VVdXl7fXCw2fn281mP/v+SxF6MgokoCcInRkFD4kvjEpabqku+KvmyX9r6TJ3qrBkJjZH0vaKumdkn4k6VeSLpT0j5KuMLMq59zvPZYYpJING1RcV6euqir+Yp3B1q1btXfvXl199dW+S0mMDRs2qK6uTlVVVYNrTHZ1qeyaa1S8adOJ584+Wyovl/bvl5qbZe3tGnv//SravVttDz9MczKNXbt25f0XwQkTJmjevHlZ92toaFBLS0seKsoPPj/fajD/3/vIKDAUZBRJQE4ROjIKHwqhMdkk6XJJ9c65N1JuuUYy3K+oKflJ59zXe580s3sl/ZOkL0m6wVNtSLiVK1eqo6ODxuQIKl2z5kRTsrJSuusu6bLLpFGjpJ4eqaZGuvlmqb5exZs2qfT229X+xS/6LTpAhw/nf3D4vHnztHnz5qz7LVy4UFu2bBn5ghA0HxkFhoKMIgnIKUJHRuHDsFflNrOLzMyZ2Q8z7NNoZsfM7G3x9yVmdqOZ/cTMmuJtb5jZs2b2wQHOsS/+70wzuzf+usvMbpMk59xh51yNc+6N4V7LqTCz5Wb2uJn9xszazazVzOrM7JoB9t8cv2/FZrbazH5tZh1m9oqZrUjZ7wYz2xGfs9nM1pjZgD8vM3uvmT0Rv59HzazWzJYMsO/4+L1sjl/7V2b2aQ2QBzN7j5ndaWa/MLPfxT+3JjP7dnwb9rDEoyWXSNon6Rv9Nt8q6aik/2Nm44b7GgBGjh05ojHr10ffVFZKzz8vXX551JSUosfFi6PnKyslSWO+8x1ZAY2+AwAAAAAM37Abk865n0t6RdKfmdnb+283swslvVfSkylNw7dJ+pqk8ZI2SbpX0o8VzQ35EzO7foCXK5H0M0kfkrQxPsfe4dZuZgvj5uDm4Z4jxTpJ0yQ9L+mrkh6Lv/+umWUaFvSYpL+TVCPp3yVNlPTtuNF5r6KRgi9K+pakTkmrJX12gHOdI+m/Fb2/35L0fUnnS/qpmV2VuqOZjYlf858U3fb+NUlbJP2LpK8McP4PKxq1eEDSBklfl/RLSddL2m5m78pwnZlcGj9udM71pG5wzr0pqU7SGZIuGub5AYygkg0bTswpedddUllZ+h3LyqQvf1mSZO3tKtmwIU8VAgAAAABCdqq3cj8k6V8lVUu6r9+2j6Xs0+uwpGnOuebUHc1sgqIm1F1m9ohz7uTVE6SzFDXCLnHOHT3FmnNttnPu16lPmFmJpJ9K+pyZfdM599s0x5XHxx6Jj7lH0fyKX5F0RNL7eo+LR4fukXSTmd3jnDve71wXS7rbOdfXuDSz+xQ1K79pZj91zrXGmz4j6QJJ/ynpyt6GoJndKemFAa7xu5K+4pw71u86l8TX+c+SVg5wbCbnxo+vDrB9t6IRle9R1Ew9Za+++qo+8YlPpN323HPP5eIl8qpoxw6VLV3qu4xgzTl0SJJ4j4agaMcOSVLHz3+ufdOnZ9z3nD/8QWdI0ZySl12W+cSLFkX7NTerc/Vq7bvzzpzUWyjOVjR0PB86jg7vj9HBZCIJZhw9qmJJO3fs0P/ls0GStCP+/z6TBQsW5KESYPjIKJKAnCJ0ZBQ+nGpj8ruS1ipqQvY1JuPG3N9IOqSocSVJihtbzf3OIedci5l9R9I9ippmz6d5rc/ksCm5TVKFpD+c6on6NyXj5zrN7BuSLpO0SNJ/pDn0c71NyfiY35hZraJRhJ9JbWY6546Y2ZOSlkt6l6J5NVO1KFrVOrWGX5jZI4p+Nn+lEw3iayX1SFqVOkrRObfXzP5N0S3U/a8nXWNVzrmNZrZL0gfSbR+ECSn1p9P7/MRhnv8tnHNqa2vr+760tFSS1N7ertraeNEo7wAAHylJREFUWknS1KlTNW3aNG3btk2dnZ2SpHHjxqmyslK7d+/W66+/3nf8BRdcoLa2NjU2NvY9N2PGDE2ZMqXvfJI0adIkzZo1S7t27Tpp3o4FCxbo4MGD2rNnT99zFRUVKisr0/bt2/uemzx5smbOnKn6+nodPXpUf9rSondIGtXaqlGn8eq62fQGrJj3aNAsfizr7lZla2vGffuUl5+4fXsgo0ZJU6dKzc2aePz44M+NnBtgXGv244aSiQRoaW09rVcnT6elpaXvz67h/vkkSSUlJbrwwgvV1NSkAwcO9O3bu9hSQ0ND33NJ+DOXa+KauCauiWvimrgmrolrynxNY8eO1ahsfyccgDnnhnVg3wnMNkpaLGmWc+6X8XMfkfQDRaPsPt1v/1mKbkm+WNFIyLH9TrnMObchZf99ilbZPsMNotiUxW8WO+eeHeZlZTrvOc65fSnPl0u6WVEDslxSab9DP++cuyNl/82SLpE00Tl3UkPOzB6WdLWkec65l/ptWyvpC5IWOOfq4uemK7ql/Tnn3FuGK5nZcknrJX3NOfcpMxsvqVXSAedceZr9F0p6TtJDzrnlKc9bXNdySXMlTZJUlHJop3NuTP/zZWNm35a0QtIK59z/S7P9S5I+r37v4XDV1NS8UFpael5FRcWpnsq7sqVLVVxXp54zz1T3nDm+ywnWh37xC/X09OjHF17ou5TEuHzHDj3f2qrzi4r0wLjM07ue84c/aOLx49FIyKamzM3Jnh5p2jSpuVlHRo/W3jPOyHHlyXb8+HGNHp2f9ehWHD2qF7q7dckllwxp8ZvBZCIJZhw9qvHd3ao/80z9Xz4/JUUjJltbW1VVVaUnn3wy7T61tbWMokDQyCiSgJwidGQUw9XY2Kj29vYXFy1adP5Qj83F34IeVNSY/JiiBp2U/jZumdlFiuaKHK3o1twfK2qU9UiaJ+kvJaVrcB0aTFMy38zs3YpGX06S9F+K5r9skdQtabqi9yFtw65/UzLWe4t2pm3Faba9nuY5SToYP07o95ht//7ulfQpSa9JekbSbyX13m6/XNGcmsPRe50TBtje+/yRAbaf9rrnzFHbAH+JhLRj7lx1dHTwHg1B99KlUl2dxl50kaZned9K1q2TvvAFqblZ+tnPooVvBlJTE+0nqeT22zX9hhtyWXbi5fOXwLHxz3jIxw0iE0nQe/2z58wZsAl3ulm6dCmjRwEAAOBFLhqTP1TUXLzGzD4v6e2SPijppf6j/hTNRVgq6VLn3ObUDWZ2i6LGZDrBNSVjn1Z0vdc65x5M3WBm1TrRoB1pkwd4fkr82NLvMdv+fczsnZI+KWmnpPnxojSp26uHVupJXokf3zPA9pnx40BzUAIZrVu3Ti+//LLvMgpWZ3W1SteujRbAWbUqWn073QI4bW3SzdG/W7nSUnVWn8rHBgAAAACgUAx7Ve5e8UI135P0R5Iul7RMUcPzoTS7z5D0Rv+mZOySU63Fgxnx4+NptuXzes6Lb9Pub2H8WC/1rXS9R9K7zOyPM+yf6t2KcrIxTVPy7Hj7cPWuNrPEzE7KYnw9VYrmAf35KbwGTmPz58/XlVde6buMguUmTtSxa6+Nvqmvly6+WNq0KbptW4oeN26Mnq+vlyQdu+46uQkDDZI+fRXCFBMobGQUoSOjSAJyitCRUfiQqwmtHpR0vaS/VbSozHFJj6TZb5+kc83sfc65vmFMZvZxDX8BlSEzszMUzQf5B+fc/lM41b74caGkvvvBzOwDit6PfJkgabWiuTt7a3i/onkhWxSNau21XtKXJH3ZzD6asir3OYpGRva3L35cYGZFzrnueP8ySQ/oFDLknPt1PEfpEkn/IOnrKZvXSBon6VsBrsSOBClLN4IPOdN+660q2r1bxZs2Rc3HJUuiOSenTpUOHOi7fVuSuhYvVvvq1R6rDZePnDY0NGjhwoWD2g/gsxShI6NIAnKK0JFR+JCTxqRzrs7M9ki6UtEciE865w6l2fWrihqQtWb2PUVNs/dLWqBosZy/Hs7rm9ndkt4Rf9s7Sddnzeya+OsnnHNPpBxyoaLReluUfpTgYN2vaJXr75vZDyT9j6TZkq5QNIr0qlM491A8L+l6M/sTSXWKFhW6StFIx793zqUuo3qPpA9J+oikF83sGUWrXn80Ps9fpJ7YOXfQzB5TtMp6Q9xInKBoXtEOSQ2K5gcdrk9I2irp38xskaRGSX+iaHXyVxUt+IN+OqurdbyqSj3lb1nDCClWrlypQ4cO6fHH0w1qRjrV1dWqqqpS+WCzVVystocfVumaNRqzfn10W3dz80kNSVdaqmPXXRc1JYvTTZOL7du3532i8ZaWFm3ZsiWvrxkCPj/fajD/3/vIKDAUZBRJQE4ROjIKH3K5BOhDkr6Y8vVbOOeeNrOliuaavErRIjHbFDWh3q1hNibj4/ovwLIk5et9kp5QjjnnXjazSyWtlfTnit7PlyR9WNGCLflqTO6VdIOkO+PHMZJelHS7c+6ZfjUfM7PLJd0W1/ePit6ftYpGVp7UmIx9XNJv4v3/QdLvFC1ctFrpb2MftHjU5Psl3a6ooftnihbZ+ZqkNc65w5mOP111Llvmu4RE2Lp1qzo6OnyXkSjLhpOt4mK1r12rjptuUsljj2n01q2yN9+UGz9ex+fPV2d1NbdvB2T27Nl5PS40fH6+1bD+vwcAAABywAJc7BoYETU1NS+Ulpaex7wZp4+58arcr7zySvadAY/yuSo3MBxkFKEjo0gCcorQkVEMV2Njo9rb219ctGjR+UM99pQXvwGAkBUVFfkuAchq8uTJvksAMiKjCB0ZRRKQU4SOjMIHGpMACloxcxoiAWbOnOm7BCAjMorQkVEkATlF6Mjo/9/evcfLWZWHHv89XBMJ94tQQEFQQFQOIFqhrQmp8YZKKfSAxYI9IFoFFC+0KKK1CqgoFxVtKYSjFkQoioqAJ4CI1oKAqAXkEkLBEhXCLZAQQp7zx1pjhmFmX5K9553s/ft+PvNZe953rfd9Zmd9MjPPXhc1YSzXmNQkFxHbAIeOsPqpmfnwIFxbE9uSJUuaDkEa1k033cSuu+7adBhST/ZRDTr7qFYF9lMNOvuommBiUmNpG+CEEdadTdkgaBCurQls2bJlTYcgDevxxx9vOgRpSPZRDTr7qFYF9lMNOvuommBiUmMmM68GYlW7tiauLbbYgkcffbTpMCRJkiRJUhcmJiVNWJdddhnXXXdd02FIw1prrbWaDkEakn1Ug84+qlWB/VSDzj6qJkRmNh2D1Bdz5sy5YerUqbvttNNOTYciSZIkSZI0Idx6660sWrToxpkzZ+4+2rbuyi1pQrvnnnuaDkEalv1Ug84+qkFnH9WqwH6qQWcfVRNMTEqasHbZZRdmzZrVdBjSsO69996mQ5CGZB/VoLOPalVgP9Wgs4+qCa4xKWnCmj9/Pi5XoUE3Y8YMFi5cyPXXX990KFJX9lENOvuoVgX2Uw06+6ia4ohJSZIkSZIkSX1nYlLShBYRTYcgDWvq1KlNhyANyT6qQWcf1arAfqpBZx9VE0xMSpIkSZIkSeo7E5OSJjTXmNSqYNGiRU2HIA3JPqpBZx/VqsB+qkFnH1UTTExKkiRJkiRJ6rtwNJEmizlz5jwYERtNmTKl6VDUJ7fccguZyc4779x0KFJPt99+O8uWLWPHHXdsOhSpK/uoBp19VKsC+6kGnX1UK2Px4sVk5oKZM2duPNq2JiY1acyZM+duYD1gXsOhSJIkSZIkTRTbAI/OnDlz29E2NDEpSZIkSZIkqe9cY1KSJEmSJElS35mYlCRJkiRJktR3JiYlSZIkSZIk9Z2JSUmSJEmSJEl9Z2JSkiRJkiRJUt+ZmJQkSZIkSZLUdyYmJU04EbFVRJwdEf8TEU9GxLyIODUiNmw6NikiNo6IwyLi4oi4MyIWRcQjEXFtRPyfiPC9WQMpIg6OiKyPw5qORwKIiJn1/9P59T3/fyLi8oh4Q9OxSQAR8caIuCIi7qvv+XMj4psR8aqmY9PkERH7R8QZEfGjiHi0vpd/bZg2e0bEpRGxoPbdX0TEeyNi9X7FrclhjaYDkKSxFBHbAT8BNgO+DdwGvAI4GnhdROyVmQ82GKJ0AHAmcD9wFfDfwHOB/YCzgNdHxAGZmc2FKD1TRGwNfAFYCExrOBwJgIj4NPBB4D7gEuABYFNgd2A6cGljwUlARJwMfAh4EPgWpY9uD7wF+MuI+JvMHDI5JI2RjwC7UN7H7wN2HKpyRLwFuAhYDHwDWAC8Cfg8sBfl86w0JsLvPZImkoi4HJgFHJWZZ7Qd/xzwPuArmfnOpuKTImJvYB3ge5m5rO345sB1wNbA/pl5UUMhSs8QEQH8ANgW+HfgA8DhmXlWo4FpUouIw4F/Bs4F3pGZSzrOr5mZTzUSnMQf3td/A/weeFlm/q7t3AzgSuDuzHxBQyFqEql97j7gTuDVlD+Ofz0zD+5Sd71ab31gr8z8WT0+hdJvXwUclJnn9yl8TXBOF5M0YdTRkrOAecAXO06fADwOvC0i1ulzaNIfZOaVmfmd9qRkPT4f+HJ9Or3vgUm9HQXsDbyd8v+o1KiIWBv4JGXE+bOSkgAmJTUAnk/5vv2f7UlJgMy8CniMMsJXGneZeVVm3jHCGTn7U/rm+a2kZL3GYsrIS4B3jUOYmqRMTEqaSGbU8oouSZ/HgB8DzwH+uN+BSSPU+iK9tNEopCoidgJOAk7LzGuajkeqXkP50vzvwLK6ht+xEXG06/ZpgNwBLAFeERGbtJ+IiD8D1gX+XxOBScPYu5aXdTl3DfAEsGf9I5G00lxjUtJEskMtb+9x/g7KiMoXAXP6EpE0QhGxBvA39Wm3D4JSX9U++VXKqLTjGg5HardHLRcDNwEvaT8ZEddQlsT4fb8Dk1oyc0FEHAt8DrglIr5FWWtyO+DNlCUyjmgwRKmXnt+pMnNpRNwN7Ay8ALi1n4FpYjIxKWkiWb+Wj/Q43zq+QR9ikUbrJMqX60sz8/Kmg5GAjwK7An+SmYuaDkZqs1ktPwjcAvwp8HPKOqifpfwR8pu4LIYalpmnRsQ84Gzg8LZTdwKzO6d4SwPC71TqK6dyS5LUsIg4Cng/ZRf5tzUcjkREvJIySvKUzPyPpuOROrS+wywF3pyZ12bmwsz8JfAXlA0eXu20bjUtIj4EXAjMpoyUXIeya/xc4Ot1Z3lJmtRMTEqaSFp/vVu/x/nW8Yf7EIs0IhHxHuA0yqifGZm5oOGQNMnVKdz/lzKF6/iGw5G6ab2P35SZ89pPZOYTQGvU+Sv6GZTULiKmAycDl2TmMZk5NzOfyMwbKQn03wDvjwh35dag8TuV+srEpKSJ5Ne1fFGP8y+sZa81KKW+ioj3AmcAv6IkJec3HJIEMI3y/+hOwOKIyNYDOKHW+Zd67NTGotRk1nq/7/Wl+KFaTu1DLFIv+9Tyqs4TNYF+HeX7+K79DEoagZ7fqeofL7eljFif28+gNHG5xqSkiaT1wW9WRKzWvjN3RKwL7EXZRe6nTQQntasL4p9EWRftNZn5QMMhSS1PAv/a49xulC/R11K+uDjNW02YAyTw4s73+6q1Gc7d/Q1LeobWjsWb9jjfOr6kD7FIo3El8NfA64DzOs79GfAc4JrMfLLfgWlicsSkpAkjM+8CrgC2Ad7dcfrjlHV9vpqZj/c5NOkZIuJ4SlLyBmCmSUkNksxclJmHdXsAl9Rq59Zj32gyVk1OmXkP8B3gecDR7eciYhbwWspoysv6H530Bz+q5TsiYsv2ExHxesofzBcDP+l3YNIwLgQeAA6MiJe3DkbEFOCf6tMzmwhME1NkZtMxSNKYiYjtKB/wNgO+DdwKvBKYQZnCvWdmPthchJrsIuIQyiL4T1OmcXfb8XBeZs7uY1jSiETExyjTuQ/PzLMaDkeTWERsRXm/35oygvImyvTCfSmjKQ/MzIuai1CTXUSsRlnv9M+Bx4CLgfmUZTL2AQJ4b2ae1liQmjQiYl/K/48Am1P+gDOX5Qn0BzLzAx31L6Qkz88HFgBvBnaox/8qTSZpjJiYlDThRMTWwD9Sph9sDNxP+TD48cx8aKi20nhrS+wM5YeZOX38o5FGx8SkBklEbAp8lPJleQvgUcqX7BMz87omY5MAImJNyiyeA4EXU6bALqCsL3l6Zl7RYHiaREbw+fOezNymo81ewIeBVwFTgDuBsyl99+nxiVSTkYlJSZIkSZIkSX3nGpOSJEmSJEmS+s7EpCRJkiRJkqS+MzEpSZIkSZIkqe9MTEqSJEmSJEnqOxOTkiRJkiRJkvrOxKQkSZIkSZKkvjMxKUmSJEmSJKnvTExKkiRJkiRJ6jsTk5IkSZIkSZL6zsSkJEmSJEmSpL4zMSlJkiRJkiSp70xMSpIkSZIkSeo7E5OSJElSFREvjIjzI2J+RDwdERkRs0d5jY0j4pGIuCsi1hinUFVFxBX13+qlTcciSZJGx8SkJEmSBETERsCPgP8NbAY8BPwWeGSUl/owsB5wYmYu7XKfiIiDIuIHEfFgRDwZEfMi4qyIeNEwMeYIHvv3aPv8mnRdEBGLIuK6iHjTMPf7VL3mfqP5BQxxvYiIfSPi3Ii4vSZwn4yI+2uC8QMR8dwu7WbXOK7uctlPUr7XnDgWMUqSpP6JzGw6BkmSJKlxEfFu4AvA7cD0zLx/Ba7xvNr+d8B2mflUx/m1gG8A+9ZDS4HHgA3r80XAgZl5SY/rtz68PwA83SOMwzLzux3tNgF+DmwJLAOeBKYCCRyUmd/ocq8dgZuBOZn5hl6veaRq0vV8YNe2w0uAx4ENgKjHFgHHZeapbW1nA4cAP8zM6V2u/SPgT4A/zcxrVzZWSZLUH46YlCRJkoqda/mdFUlKVu8G1gZmdyYlq5MoScmlwNHAepm5EbA1cBElWXh+RGw3zH32yMzNezy+26X+MZSk5OXAxsA04EhKMvCzERFd2nyRksQ8cphYhhURuwA/pSQlHwL+npK4Xbu+/inADOAcYC2WJ25H6qxavm9lY5UkSf1jYlKSJEkqptZy4Yo0rutJHlKfnt/l/GaUxCXAZzLz9MxcBJCZ9wEHUkZbTgX+cUViGMLMWh6TmQ9n5rLM/AJwI7AV8Iwp5BHxVmBv4OTMvGtlbhwR6wAXUkaFzgV2y8yTM3Nuq05mLsnMqzPzb4HdgTtGeZuLgcXAmyJi05WJV5Ik9Y+JSUmSJI27iNgpIr5c1xV8IiIejohfRsTpEbF7jza7RsTXIuLeug7hAxFxeUT85Qju95KIODsi7o6IxfV+P46Id0bEmh11r65TpA+th05oX7NxFC/zDcBzgf/KzFu6nN+bMhoQ4NTOk3U9yjPq0/0iYtoo7j2cjWs5t+P4nbXcpHUgItYDTgHuoozwXFnvBLanjL48MDPnDVU5M28G3jGaG2Tmo5TRoGsCB69YmJIkqd9MTEqSJGlcRcSRwC+BI4AXUhJUCbyEMk34lC5t3gH8DPhryoi+JyjrEM4CLoyIr0bE6j3u9x7K2ohvB7YBnqJMXd4TOBO4IiKe09ZkAWWTm8X1+eP1eesxUrNq+eMe559fy4cz83c96txWyymUNRPHyoO1fEHH8e06zgP8E7A5cGRmLmblHVHLyzPz+pE0yBVbCL/1e581ZC1JkjQwTExKkiRp3ETEAcDpwOqU6bwvzsxpmbkhZRTfwcANHW1aCcTVaputa/0NgI9QkpoHA//Q5X77UkYdPg58CNg0M9cFngO8jjJFeDrw+VabzNwvMzenbEoD8Nn2NRtH8XL3quUNPc63km1dE6rVGm0/79yzFlwQEQ/VkaT3RcRFEfHGIepfWctTImKDiFgtIt5FmTZ9H/BrKKNUgb8DLs7M7w9xvRGJiC0pyWiArhv6jKGf1XLPiPB7jiRJqwDfsCVJkjQu6pTpVgLwvMw8IDNvbZ3PzAWZ+fXMfH9H009QPqf+mDL1975af2FmfpLl04uPrdOOW/dbneVTpA/IzM9k5gO17ZLMvBx4PWX05d9GxBZj+FqnAC+tT3/Ro9o9tVw3IrbqUefFbT8PFd8elATnU5RNbfYDvhsRF9Sdvzt9Hrifkpx9kLKO5pfquQ9lZtYNcM6kjBw9eoh7j8ZObT/fPEbX7KV1/fU67itJkgaUiUlJkiSNl5mUpNnTwAdH0iAiNqLszgxwYmY+3aXayZTk2TTKuo4t0ynTpX9Vk5DPUjdy+SllZOL0kcQ0QpuxfCTkAz3qXE1JJEKX30dNbh7VdmjdLtc4l5Jc3DAz18vMaZQk3Dn1/AHAFzob1anjewHfBB6lfA/4GfAXmXlerXY48ErgE5l5b0RMi4jTImJ+Xafzuoh4TY/X1svGbT8vGGXb0XqIskwADJ3UlSRJA8LEpCRJksbLH9fy5sz8zQjb7AoEZdrzD7tVyMxHWD5dere2U3vW8oU1mdb10VZv6xG/kuFt0vbzQz3i/i3wlfr0yIj4RERsGRFrRsRuwPcoidWltc6yLtc4NDMvz8yH247dVnez/kw9dFhE7NCl7d2Z+VeZuWFmTsnMPTLzWwARsQlwInAr8Lk6evJiSqL0HkpCcwfg0oiY0XntQVDXpWz9XjYZqq4kSRoMJiYlSZI0Xp5by/8eRZtNa/lIZi4cot59HfVh+Si5teu9ez2m1HrtG+CsrLXbfl4yRL0PAt+nJF8/QnkdSyiJ1r2B41me2Hy42wWG8HFgUb32PqNs+2lgI+DdmflUbf/nlGTpqzLzbcAbKSNNPzuK67ZvqrPRKGNaEa3Neqb24V6SJGklmZiUJEnSIFp7+CrP0vps++3MjBE8PjaG8bZPU96gV6W6y/U+wFuB7wJ31cclwGsp09Rb7e8YTQCZ+Tjwq/q0c/ftniJiL+BQ4N8y86p6uJXY/FJmLqvXvxa4EdgtIka6KdCtbT/vMtKYVsKGtXxwyFqSJGkgmJiUJEnSePltLZ8/ija/r+XUiNh0iHqtzWN+33asdb/njeJ+Y6V9XckNe9YCMnNZZp6XmW/KzO3r4y2ZeQVlA501a9X/GK9gWyJiDcomOI8B7ZsQtf7N7u5ocmfH+SHVKfytBOubVzDMEYmItVk+UrLXOp+SJGmAmJiUJEnSePlpLV8WEVuOsM1NlPUlYfkmOM8QEesDu9enN7adaiXyRnO/MZGZD7I8GbbtSlzqoFr+vH0H85GIiHWAl9SnnQnFXo4CXgYcn5nzu5yf0vF8RaZI/3MtXxsRe4ykQV3jcrS2qWUCv16B9pIkqc9MTEqSJGm8zAF+Q9mt+jPD1AUgMxcArenEx0ZEt8+rx1ISZguBSzvud+9I7hcRQ45qXEE/qeXLV6RxROwCvKc+PbHL+eGSdcdTEofJM38vve73R8DHgJuBL3acvqeWu7fVX52yOVH7+ZH4MjCX8t3j/IjYZpi4XsbyTYJGo5X0vK0miiVJ0oAzMSlJkqRxUTdRaU0PPigiLoiIHVvnI2KjiDg8Ik7vaHo8ZUfq3SiJrK1q/WkRcRzw97XeSZn5aMf93kNJzB0UEd+KiP/Vdr81I+LlEfFpRj6icDSurWXPUYERMSMi3h8R29dEHxGxfkQcAVxJSbhekJkXdGl+QUR8sr6GtdquuUNE/AslYQtwbmbeMoJ4TwWmAe/KzKc7zrUSm8dFxHY11o9QptDf2GN0ZVd1E6P9KZv5vAC4ISKOjYg/jCyNiLUi4tURcTZlFOyLRnr9Nq3f+zUr0FaSJDUgMnP4WpIkSdIKiohjKCMYW38UXwgsZfkmLz/MzOkdbY6grH24GiXR+DCwHmU0JMDXgUO6JNSIiLdTRum1kneL6mP9tvZkZnS0mw0cAnx8RTbGqSMB51J2ht6s267iEXEocE59upSytuMGlJ20Ac6rr+upLm2vBl5dnz4NPELZJGidtmoXAgdn5pPDxPoa4ArgXzPzsC7ng5IonV4PLaYkTZcCs9o2yRmxmpQ+n2dugvMk8ATP/B0sBI7NzC+1tZ1N+bd5Vl9pq3MHsD2w94rEJ0mS+s8Rk5IkSRpXmfk5yhTgc4B5lM1dEvgFcBrwvi5tvkIZAfdvwP2UkX2PAD8ADsjMg7slJWvbc4AdKCMC/4uSxFuPslPz1cAJ9fyYysx5lOnkU4G39Kh2bY3rRsrrWYcy3f2bwOsy863dkpLVp4AzgOuB39W2q1FGf54HvDYzDxhBUnJtytTtBSwffdr5WpKyWc0X672i3vcNK5r0y8zbKP1gP+BrlN3In6qv47eUROkxwLbtScmRiIiXU5KScyn/xpIkaRXgiElJkiRpjETE/pQk4/cyc5+m45ksIuIUSlLzuMx81vqckiRpMJmYlCRJksZI3aznJuClwM6j3Vlbo1d3ab8HWAJsl5mPNRySJEkaIadyS5IkSWMkM5dRpkcH8OGGw5ksjqKsH/opk5KSJK1a1mg6AEmSJGkiyczv1w1/1omINTJzadMxTXAPAR8Fzmw6EEmSNDpO5ZYkSZIkSZLUd07lliRJkiRJktR3JiYlSZIkSZIk9Z2JSUmSJEmSJEl9Z2JSkiRJkiRJUt+ZmJQkSZIkSZLUdyYmJUmSJEmSJPWdiUlJkiRJkiRJfWdiUpIkSZIkSVLfmZiUJEmSJEmS1HcmJiVJkiRJkiT1nYlJSZIkSZIkSX1nYlKSJEmSJElS35mYlCRJkiRJktR3/x8GFYi+gLBamwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "image/png": { "height": 315, "width": 659 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# less extreme case\n", "pew = PiecewiseExponentialRegressionFitter(\n", " breakpoints=breakpoints, \n", " penalizer=.25)\\\n", " .fit(df, \"T\", \"E\")\n", "\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "pew.plot(columns=['var1'], ax=ax, fmt=\"s\", label=\"small penalty on variance\")\n", "\n", "# compare this to the no penalizer case\n", "pew_no_penalty = PiecewiseExponentialRegressionFitter(\n", " breakpoints=breakpoints, \n", " penalizer=0)\\\n", " .fit(df, \"T\", \"E\")\n", "\n", "pew_no_penalty.plot(columns=['var1'], ax=ax, c=\"r\", fmt=\"o\", label=\"no penalty on variance\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that: \n", "\n", "1) on average, the standard errors are smaller in the penalty case\n", "2) parameters are pushed closer together (the will converge to their average if we keep increasing the penalty)\n", "3) the intercepts are barely effected. \n", "\n", "I think, in practice, adding a small penalty is the right thing to do. It's extremely unlikely that intervals are independent, and extremely unlikely that parameters are constant over intervals. \n", "\n", "\n", "Like all _lifelines_ models, we have prediction methods too. This is where we can see customer heterogenity vividly. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 299, "width": 591 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Some prediction methods\n", "pew.predict_survival_function(df.loc[0:3]).plot(figsize=(10, 5));" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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