{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Piecewise exponential models and creating custom models\n", "\n", "This section will be easier if we recall our three mathematical \"creatures\" and the relationships between them. First is the survival function, $S(t)$, that represents the probability of living past some time, $t$. Next is the _always non-negative and non-decreasing_ cumulative hazard function, $H(t)$. Its relation to $S(t)$ is:\n", "\n", "$$ S(t) = \\exp\\left(-H(t)\\right)$$\n", "\n", "Finally, the hazard function, $h(t)$, is the derivative of the cumulative hazard: \n", "\n", "$$h(t) = \\frac{dH(t)}{dt}$$\n", "\n", "which has the immediate relation to the survival function:\n", "\n", "$$S(t) = \\exp\\left(-\\int_{0}^t h(s) ds\\right)$$\n", "\n", "Notice that any of the three absolutely defines the other two. Some situations make it easier to define one vs the others. For example, in the Cox model, it's easist to work with the hazard, $h(t)$. In this section on parametric univariate models, it'll be easiest to work with the cumulative hazard. This is because of an asymmetry in math: derivatives are much easier to compute than integrals. So, if we define the cumulative hazard, both the hazard and survival function are much easier to reason about versus if we define the hazard and ask questions about the other two.\n", "\n", "First, let's revisit some simpler parametric models. \n", "\n", "#### The Exponential model\n", "\n", "Recall that the Exponential model has a constant hazard, that is:\n", "\n", "$$ h(t) = \\frac{1}{\\lambda} $$\n", "\n", "which implies that the cumulative hazard, $H(t)$, has a pretty simple form: $H(t) = \\frac{t}{\\lambda}$. Below we fit this model to some survival data. " ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "plt.style.use('seaborn-colorblind')\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from lifelines.datasets import load_waltons\n", "waltons = load_waltons()\n", "T, E = waltons['T'], waltons['E']" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.ExponentialFitter
number of observations163
number of events observed156
log-likelihood-771.913
hypothesislambda_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
lambda_51.8404.15143.70559.97512.249<0.0005112.180
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\n", 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" ] }, "metadata": { "image/png": { "height": 263, "width": 604 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import ExponentialFitter\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n", "\n", "epf = ExponentialFitter().fit(T, E)\n", "epf.plot_hazard(ax=ax[0])\n", "epf.plot_cumulative_hazard(ax=ax[1])\n", "\n", "ax[0].set_title(\"hazard\"); ax[1].set_title(\"cumulative_hazard\")\n", "\n", "epf.print_summary(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model does a poor job of fitting to our data. If I fit a _non-parametric_ model, like the Nelson-Aalen model, to this data, the Exponential's lack of fit is very obvious. " ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import NelsonAalenFitter\n", "\n", "ax = epf.plot(figsize=(8,5))\n", "\n", "naf = NelsonAalenFitter().fit(T, E)\n", "ax = naf.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It should be clear that the single parameter model is just averaging the hazards over the entire time period. In reality though, the true hazard rate exhibits some complex non-linear behaviour.\n", "\n", "#### Piecewise Exponential models\n", "\n", "What if we could break out model into different time periods, and fit an exponential model to each of those? For example, we define the hazard as:\n", "\n", "$$ \n", "h(t) = \\begin{cases}\n", " \\lambda_0, & \\text{if $t \\le \\tau_0$} \\\\\n", " \\lambda_1 & \\text{if $\\tau_0 < t \\le \\tau_1$} \\\\\n", " \\lambda_2 & \\text{if $\\tau_1 < t \\le \\tau_2$} \\\\\n", " ... \n", " \\end{cases}\n", "$$\n", "\n", "This model should be flexible enough to fit better to our dataset. \n", "\n", "The cumulative hazard is only slightly more complicated, but not too much and can still be defined in Python. In _lifelines_, univariate models are constructed such that one _only_ needs to define the cumulative hazard model with the parameters of interest, and all the hard work of fitting, creating confidence intervals, plotting, etc. is taken care. \n", "\n", "For example, _lifelines_ has implemented the `PiecewiseExponentialFitter` model. Internally, the code is a single function that defines the cumulative hazard. The user specifies where they believe the \"breaks\" are, and _lifelines_ estimates the best $\\lambda_i$. \n" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.PiecewiseExponentialFitter
number of observations163
number of events observed156
log-likelihood-647.118
hypothesislambda_0_ != 1, lambda_1_ != 1, lambda_2_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
lambda_0_163.10527.183109.827216.3835.963<0.000528.593
lambda_1_31.3624.04223.44039.2837.512<0.000543.968
lambda_2_4.6850.6243.4625.9095.903<0.000528.059
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" ] }, "metadata": { "image/png": { "height": 277, "width": 598 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import PiecewiseExponentialFitter\n", "\n", "# looking at the above plot, I think there may be breaks at t=40 and t=60. \n", "pf = PiecewiseExponentialFitter(breakpoints=[40, 60]).fit(T, E)\n", "\n", "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n", "\n", "ax = pf.plot(ax=axs[1])\n", "pf.plot_hazard(ax=axs[0])\n", "\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "axs[0].set_title(\"hazard\"); axs[1].set_title(\"cumulative_hazard\")\n", "\n", "pf.print_summary(3)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see a much better fit in this model. A quantitative measure of fit is to compare the log-likelihood between exponential model and the piecewise exponential model (higher is better). The log-likelihood went from -772 to -647, respectively. We could keep going and add more and more breakpoints, but that would end up overfitting to the data. \n", "\n", "#### Univarite models in _lifelines_\n", "\n", "I mentioned that the `PiecewiseExponentialFitter` was implemented using only its cumulative hazard function. This is not a lie. _lifelines_ has very general semantics for univariate fitters. For example, this is how the entire `ExponentialFitter` is implemented:\n", "\n", "```python\n", "class ExponentialFitter(ParametricUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"lambda_\"]\n", "\n", " def _cumulative_hazard(self, params, times):\n", " lambda_ = params[0]\n", " return times / lambda_\n", "```\n", "\n", "We only need to specify the cumulative hazard function because of the 1:1:1 relationship between the cumulative hazard function and the survival function and the hazard rate. From there, _lifelines_ handles the rest. \n", "\n", "\n", "#### Defining our own survival models\n", "\n", "\n", "To show off the flexability of _lifelines_ univariate models, we'll create a brand new, never before seen, survival model. Looking at the Nelson-Aalen fit, the cumulative hazard looks looks like their might be an asymptote at $t=80$. This may correspond to an absolute upper limit of subjects' lives. Let's start with that functional form.\n", "\n", "$$ H_1(t; \\alpha) = \\frac{\\alpha}{(80 - t)} $$\n", "\n", "We subscript $1$ because we'll investigate other models. In a _lifelines_ univariate model, this is defined in the following code. \n", "\n", "**Important**: in order to compute derivatives, you must use the numpy imported from the `autograd` library. This is a thin wrapper around the original numpy. Note the `import autograd.numpy as np` below. " ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametricUnivariateFitter\n", "\n", "import autograd.numpy as np\n", "\n", "class InverseTimeHazardFitter(ParametricUnivariateFitter):\n", " \n", " # we tell the model what we want the names of the unknown parameters to be\n", " _fitted_parameter_names = ['alpha_']\n", "\n", " \n", " # this is the only function we need to define. It always takes two arguments:\n", " # params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n", " # times: a vector of times that will be passed in.\n", " def _cumulative_hazard(self, params, times):\n", " alpha = params[0]\n", " return alpha /(80 - times)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "itf = InverseTimeHazardFitter()\n", "itf.fit(T, E)\n", "itf.print_summary()\n", "\n", "ax = itf.plot(figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best fit of the model to the data is:\n", "\n", "$$H_1(t) = \\frac{21.51}{80-t}$$\n", "\n", "Our choice of 80 as an asymptote was maybe mistaken, so let's allow the asymptote to be another parameter:\n", "\n", "$$ H_2(t; \\alpha, \\beta) = \\frac{\\alpha}{\\beta-t} $$\n", "\n", "If we define the model this way, we need to add a bound to the values that $\\beta$ can take. Obviously it can't be smaller than or equal to the maximum observed duration. Generally, the cumulative hazard _must be positive and non-decreasing_. Otherwise the model fit will hit convergence problems. " ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "class TwoParamInverseTimeHazardFitter(ParametricUnivariateFitter):\n", " \n", " _fitted_parameter_names = ['alpha_', 'beta_']\n", " \n", " # Sequence of (min, max) pairs for each element in x. None is used to specify no bound\n", " _bounds = [(0, None), (75.0001, None)]\n", " \n", " def _cumulative_hazard(self, params, times):\n", " alpha, beta = params\n", " return alpha / (beta - times)" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.TwoParamInverseTimeHazardFitter
number of observations163
number of events observed156
log-likelihood-685.57
hypothesisalpha_ != 1, beta_ != 76.0001
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
alpha_16.501.5113.5419.4510.28<0.00579.99
beta_76.550.3875.8077.301.440.152.73
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TlSpVoXjxkhw7djTZNkt0+3ZCD/mNGzce82xl/N+DxTIaEv5ZICW9IiIiL4g82Wz5Lh1Dhl1cEubPRUTEPKakZSlWrDgVKlRk+/YAhg0bgb+/H9bW1jRp4mUqk5gMTpgwlerVazzR9apVq061atW5e/cuhw8fZPfuQDZsWMf48eMoXLgoderUw8HBAWtra/z9d2Fjk/zXuMT2+i9wcMgGQPPmLRg9euxTu84ffxxl9OgRuLjkY8yYL6lQoRKFChXGysqKefNmm3oO/8nPbyPz5/tSoUIlhg0bkSF1JsfJKUeKQ5jv3r2bthv9h7Q+e87OzgwZMozBg4cSFnaKoKA9bNy4jm3b/MmSJQtjx36d7ljSIyBgC+PGfU3p0mUZNmw45cqVN/U6jxv3NceOHX3k+YnP1ssvV2Py5Eevxi2pZDRYZC8vaJ9eERERkRR5ebXg1q1bhITsZ9euQNzda5kNUy1duiwAJ04cS3JudPQtJkz4gU2b1j/2OkuWLGTGjKlAQjJTu3Zdhg4dzrBhwwH4/fdDpuvFx8dz8uSJJHUcPXqEqVN/Jjg4OMl7z0uxYsWxtbUlNPREsr12S5YsYPbsmdy6dfOJruPvv+mvVZJH0LRpcwoXLmKaT3ruXDiA2fVPnDjON998jrNzbr788jvTsOwnqTMlrq7luXbtKleuXDE7Hh8fz6lToem5XSBtz96hQyGMHz+OixcvYGVlRdmy5ejcuRszZszBwSEbhw8fNJ377y26nhY/v40AfPrpF9Sv39BsmHV4+Nkk5f8dV/bs2cmfvwBnz57h/v17Scpv2LAWH59pXL7831/H4L/CaDSAMeUh5ZmZkl4RERGRFDRt6oW1tTWTJ0/k7t07NG/ubfZ+gwaNcHR0ZP78OZw/f87svSlTJrJ06UIuXPjzsdcJCtrDnDm/cvToEbPjifNWExOCFi1aAfDzzz+ahncC3Llzmx9++Jr5832Jj//vfGm1s7OjceNmhIefYdGi+WbvhYQEM3nyBNatW/NEw3zh7/mikZE3zI4HBweZkqu4uDhTmY8/fh+DwcAXX3yX4iJOaanzUby9E9ps0qQfzcovWDA3Sd1pkZZn78aNGyxbtoiFC+eZlYuMvMGDB/fN5uVaW/81neHhw3THlhqJPzT8ezGwDRvWcuhQCGD++SaObIiL+zuuFi1aER19i6lTJ5nNrz579gw//fQ9ixcvIEeOJ3u2XiiJc3otkIY3i4iIiKTA2Tk3NWrUYu/e3Tg4OFC/fkOz952cnBg+fDSffTaSnj0706BBI/LmzcvBgyEcP/4HFSpU5K23uj72Or169SMk5ACDB/enUaMmuLjkIzz8DLt2BVKiREmaN28BgJubO+3adWTZskV07fomderUI2tWW3bs2Mq1a1dp0+YNatWq9TQ+inQbOPA9jh79ncmTx7Nz53YqVqzMtWtX2bFjK9bWNnz00WizVY3To0mTZixaNI8ff/yWQ4dCyJMnL6dPnyIoaC85c+YiKirSNLdz7NjRXLt2FXf3mvzxxxFCQvYnWZCqRYtWaarzcbFt2+bP1q1b6NWrC9Wr1+Ds2TOEhARToEBBswW50iItz16DBg2pXPklVq5cxpkzYVSuXIXbt2+zbZs/AL17/72NkYtLwurVkyaNx929Jj179k1XfI/TvHkL/P038/HH79O0aXMcHR05duwPDh0Kwdk5N1FRkWYjAFxcElYT/vrrsdSoUZv27TvSpUs39u3bw7Jli/j994NUq1admJgYtm715969u3zyyedmq4LLY2hOr4iIiMiLycurBXv37sbDwzPZBZ0aN25Kvnz5mDt3Fnv37ubevXsULFiQ7t1789ZbXciWLdtjr1GhQiUmT56Or68PISHB3LwZRd68LrRv35Fu3XqZXfe9996nQoWKrFixjE2b1mNtbW3ay9Tbu2WG3ntGcHZ2Zvr02cyZM4sdO7aybNkicuVypl69+nTr1ttsy6P0KlvWle+/n8Cvv04jMHAbWbJYU7BgQXr16kfLlq15/fUW7Nmzi65de5h6P4ODg1Kcl1utWnXc3NxTXefjjBnzJeXLV2DNmlWsXPkbRYsW48svv2fdulXpTnoh9c9e1qxZ+e678cyf70tg4DZ++20JtrZ2VK5cha5de5itWt22bQeOHDnM4cOHCA8/S8eOXdId36PUrevBZ599xfz5vmzevAE7O3sKFSrM0KHDqVy5Cj17dmHv3l00a5awcNzbb/ckPPws+/fv4/z587Rv3xE7O3t+/vkXFiyYi7//ZlasWIajY3aqVHmZrl27U61a9acSu8UyGgDL7Om1Ss1chMwiIiLmP3szL+oiIJmV2ivzUZtlLmqvzEXtlbmovTIftVnmYqnt9fDsXgy3b5C1mDtZcqR/7+anycXFKV2TzjWnV0RERERE5AVn1JxeERERERF5WpYvX87Jk2dSVdbJyYkOHTo95YjkhWM0AJrTKyIiIiIiT8GKFSsICkrd3r8FChRU0isZymgw/LVl0fOO5OlQ0isiIiIi8pzNnTvX4uaISiZiNFjs0GbQnF4REREREZEXmzHeYrcrAiW9IiIiIiIiLzYL3q4IlPSKiIiIiIi82AyGhH8WSkmviIiIiIjICyxhESslvSIiIiIiImKJNLxZRERERERELJYWshIRERERERGLZTRqyyIRERERERGxUAbN6RURERERERFLZTSop1dEREQks/HxmYaHhzvvvtsvxTIxMTF4eLgzaFDfZN/399+Mh4c7np61uH79+tMKNUMcP/4HQUF7Ta8vX76Eh4c7H3007DlGBUFBezl+/I/nGoOIPJrRGJ+wgrOFUtIrIiIiFu3gwQOsXbsyXedu3LgOe3t74uPjWb9+dQZHlnF2795Jv349CA8/YzqWPbsTPXr0oUkTr+cW14oVyxg6dBARERHPLQYRSQVtWSQiIiKSuU2ePJHIyBtpOicy8gZBQXt55ZVXyZMnD+vWrcb4Hx3+d/NmFAaD+RdWJycnevXqR9OmzZ9TVKT5MxeR50RzekVEREQyr3LlXImJiWb8+HFpOs/PbyPx8fHUqFGb+vUbcvHiBUJCgp9SlCIiz5GFz+m1ed4BiIiIiDxNnTt3w8dnGgEBfjRv3oJ69eqn6ryNG9dhY2ODm5s7Tk5OrFz5G2vWrKR69RpPHNONG9eZNWsmu3bt4ObNKPLmdaFRo6Z0796LbNkcTeXi4uKYM+dXtm8P4OLFC2TNakuFChXp1Olt3N1rAvDll2PYsGEtABMn/sjEiT/i7+9PZORt2rd/jfr1Pfn66x9MZTdv3sDq1Zv45ZdJBAZu4/79B1Sp8hLDho3AxSUfM2f+wqZN67l79y6uruUZPHgYZcuWM4t/165Ali9fSmjoMWJiYnBycqJKlZfp2bMvZcu6AjBoUF8OHQoB4OOP3wdg586/fzQICNjCkiULOH36FFZWWahQoSLduvXCzc39iT9fEUkj7dMrIiIiknllzWrLhx+OxMrKih9++IY7d+489pwzZ8I4deokNWvWwcnJiapV3cib14UdO7YRHR39RPFcuXKFPn26sWrVb7i6lqdDh04ULVqcBQvmMGhQX+7evWsqO3789/z663ScnHLQtm0HGjduyrFjRxk27F1Tr3P9+g2pX98TgJo16zBo0CBy5MiR4vWNRiODB/fnyJHf8fZuRZUqLxEUtJcPP3yPUaOGExDgR6NGTalVqw4HDx7gww/f4969e6bzf/ttMcOH/48LF87TtGlzOnToRIkSpQgM3M7AgX1NC361aNGKqlXdAGjSpBk9evQx1TFz5i988skIbty4jrd3S7y9X+Xs2TO8994ANm1a/0Sfr4ikndFowIh6ekVERCSTu/HgDt+EBnAqJm2rEGe1tQbg4YP4pxFWEmWd8vKRa2Ny22bLsDqrVnWjVas2rF69gunTJ/Peex88svyGDesATPNhs2TJQpMmzVi8eAGbNq2nffuO6Y7lhx++JiLiGt9++xN163qYji9duogJE8Yxa9Z0BgwYwu3bsaxevYKqVd2YNGm6qVyrVm3o3fttli9fipubOw0aNCQ2NobAwO3Url2HgQMTV6u+nOz1DQYDdnb2TJo0HVtbWwDeeacnR478zoMHD5kzZ5Gpt/mrrz5j/fo1HDx4gDp16vHgwQOmT59C0aLF+PXX+Tg4OJjqHTfuG1auXMauXTto3botLVq04vLlSxw6FEKTJs1p0KAhAMeOHcXX14dq1arz/fcTsLe3B6Bnz77069eD77//ipo16+Ds7Jzuz1hE0shotOieXiW9IiIiL4hvQgPwPXfgeYfxWLsjzwHwfZWWGVrvO+8MNg3LbdbMm0qVKidbzmAw4Oe3EXt7e1MPKkCzZq+wePEC1q5dle6k9/r16+zdu5s6deqZJbwAb7zRgYUL57J+/VoGDBiCwWDEaDRy9epVbty4Tp48eQEoX74iixevJH/+AumKAeD119uZEl6AypVf5siR33nttdfNhldXrFiJ9evXcOVKQgJtMBj48MNR5M2b1yzhBahWrTorVy4jKirykddOXBBs4MAhpoQXIGfOXHTu3I1vv/2CgAA/3nijQ7rvT0TSyGAAg3p6RURERDI1Jycn/ve/Dxg1ajjfffcFPj7zki0XHBzE9esRNGnSzCyxK1++IkWLFuP06VMcO3aUihWTT5of5eTJExiNRm7duoWPz7Qk72fNmpVr164SEXENF5d8NG7cDH//zbzxRkuqVHmZ2rXrUrdufUqWLJXma/9T4cJFzF4nJp+FChUyO25rawfAw4cPTOWaNGkGwPnz5wgPP8vFixc4e/Y0wcFBAElWkf630NATAGzbFsCuXYFm70VEXAMgLOxkmu9JRJ6A0QCop1dEREQyuRGujbHCipMxadsz9VkPby7n5MII10ZPpe6GDZtQv74ngYHbmT/fl7Ztk/YmbtyYMLTZ398Pf3+/ZOtZs2ZVupLe2NgYAP744wh//HEkxXLR0dG4uORj9OixlC9fkfXrV3Pw4AEOHjzA1Kk/U758RYYPH2laNCqt/t1LmyhrVttkj//ToUMhTJz4IydPJiSvtrZ2lClTFlfXCly7dvWx2zolfgbz5s1OsUx09K3HxiEiGcgYr9Wb08LV1bUQcBz4NDQ0dPxjyg4CfgZ6hIaGzs7oWERERORveWyz8V2VV9N8nouLEwARETEZHdJzMXTocEJCgvH1/ZUaNWqZvXfnzh127NiKo6NjsvvbGgxG1q5dib//ZgYPHppi8piSxPLdu/emd+/+jy1vY2PDW2914a23unDlyhWCg/cSELDlr4Wn/sfSpauxsXl2fRhXrlxm2LB3sbOz58MPR/LSS1UpWrQY1tbW+PtvJjBw22PrcHBw+Kv8rmcau4ikzGg0YNSc3tRxdXXNDiwHUl4y8O+yxYGvM/L6IiIiIo/j4pKPfv0G8eOP3zJunPlXkW3b/Ll37x4tW7bmgw8+Tvb8S5cucuBAEP7+m2nZsnWarl26dFkATpw4luz7Pj7TsLW1o2PHzkREXGPNmpVUrvwS9erVp0CBArRs2YaWLdswZMg7HDiwn0uXLlKsWHGsrKzSFEd67dixjfv37zNgwBBee+11s/fCw88mKZ9cXKVLl+XUqZOcPHkiSW/50aNHCAzcRt26Hrz8crWMDV5EUmY0WPRCVhm2ZdFfSex2oNbjyv5lOpA9o64vIiIiklqvv96OKlVe4uTJULPjiUObvby8Uzz31VdbAbB27ao0X7dQocJUrerG3r272bp1S5Jrz5o1g337dpM1a1bs7OyYP9+XmTOn8uDBA1O5hw8fcuPGdWxtbcmTJw8A1tY2pveepsTFr/69WFVY2CmWLl0EJOwtnCixJ/efcbVokfD5/fzzj9y+HWs6fufObX744Wvmz/clPv7ZDKUXkb8YDBre/Diurq7vAWOBbEAA0Pgx5XsAXsB6oEVGxCAiIiKSWlZWVnz44Sh69uxsSsiuXr3CwYMHyJcvP9WqVU/xXE/PRjg6OnL06O+cPXsmzYtKffjhxwwY0IfRo0dQu3ZdSpUqzfnz59i9eyc5cuRk2LARAOTJk5f27d9i8eL5vP32m9Sp40GWLFbs27eH8PCzdO/eG0fHhP4DFxcXAFau/I24uHt07do1PR9InAc4AAAgAElEQVTLY9WrV59ffpnE3LmzOHcunMKFi3Dhwnl2795piuXWrZum8i4u+QCYM8eHU6dC6dGjD25u7rRr15FlyxbRteub1KlTj6xZbdmxYyvXrl2lTZs3cHNzfyrxi0gKjPHq6U2F94BzQANg7qMKurq6FgR+BHyB5FeHEBEREXnKSpYsRZcu3U2vN2/egNFopGnT5o8cLmxnZ0+TJl4ArF27Ms3XLVasBD4+c2nV6nVOnw5j6dJFhIWdonnzFsyY4WuWRA8YMJj33x9BtmyObNiwhtWrV+DgkI2RI8eYzQmuWtWNtm3bEx19i/nz53P69Ok0x5UaLi75GD9+Cm5u7hw4sJ8VK5by55/nadfuTebPX0bOnDnZt2+PaTGrxo2b0bhxMy5evMCKFUu5ejVh66P33nuf0aPHki9ffjZtWs+GDWvIkycPH330CUOHDn8qsYvIIxiNFt3Ta/W4FfZSw9XVtTmwJTQ0NN7V1bU7MAv4X3ILWbm6uq4A6gIVgLeBn8ighawiImL+sy1laYuAWDq1V+ajNstc1F6Zi9orc1F7ZT5qs8zFEtvr4dk9PLx4GOschchaohZZcuR/3iEly8XFKV0LGGTI8ObQ0NBNqSnn6ur6JtAG6BgaGhrp6pq+ZfZTkvgA/pdlhhjlb2qvzEdtlrmovTIXtVfmovbKfNRmmYsltdftG/bci7Ilaw4HsuXJjk0uy7k3eIb79Lq6uuYlYXuiNaGhoYuf1XVFREREnpZ9+/YRFBSU6vLdunUjR47HbnIhIvLMGI3Gv1Zv/s8Omn1iz3JztAmAPTDgaV3gvzzEwBKHQVgytVfmozbLXNRemYvaK2VbtwYya9aMVJf39PSiYMGnu72Q2ivzUZtlLpbWXkZDPA+iYomPvYd11rvcvRFLlof/zXtLb+/6M0l6XV1dWwKdgIGhoaEXnsU1RURERJ62Xr360atXv+cdhohI+ln4Hr3w7Hp62/31v5NdXV0nJ/P+LFdX11lAo9DQ0G3PKCYREREREZEXm4UPbYZnl/SuBMKTOV4baA6sAg6lUEZERERERESeBqMBUE/vEwsNDV1JQuJrxtXV9T0Skt6VGbFlkYiIiIiIiKSBIR4Mlt3Tm+V5ByAiIiIiIiLPh9FoAGP88w7jqVLSKyIiIiIi8qIyGgDL7unN8OHNfw1Tnp3KsuOB8Rkdg4iIiIiIiKTCC7B6s3p6RUREREREXlQGg6V39CrpFREREREReWFpTq+IiIiIiIhYKqPRgFH79IqIiIhkLj4+05g1a0aqyhYoUJBly9Y85YgSjB07ms2bNyQ5bmNjQ/bsTpQvX4H27d+iVq06zySep2n//n38738DadmyNSNGjH7e4TxzFy78SceOr6e6/Pz58ylcuDQNG9bG1bUCPj5zn2J0KVuzZiXffvsFvXv3p3v33smWiYuLo2HD2hQuXITFi5PsSpqpNGtWn9y58/yn7iM+Pp7ffltC69avY2dnD8D06VOYM+dXvv32J+rVq5+xF0zlnN779++xYsUyOnbskrHXfwaU9IqIiIjFqVatepJjGzas5cqVy7Rv/xbZs2c3HXdycnqWoQHQokUr8ucvYHodFxfHtWtX2LrVn717d/PRR5/w6quvPfO4JOPkyJGDHj36mB07efIEu3YF4ubmzssvVzMdd3S0o1ChQmTJkoUePfqQN6/Lsw5X/kM++WQE27dvpWXL1qZj1avXwNramqJFi2X8BY0GSEVP7zvv9Obq1ctKekVERET+C9zc3HFzczc7dvDgAa5cuUyHDm9RsGCh5xRZgldfbc3LL1dNcrxVq9cZNKgvP//8E02bNsfOzu45RCcZIUeOnPTq1c/s2Jo1K01J7z97UV1cEn54iYiISXKOvHgiIyOTHKtevQbVq9d4Ohc0xKeqpzcqKmlcmYXm9IqIiIj8R1St6kbFipWJjY3h6NHfn3c4IvIieAG2LFJPr4iIiLzQJk78gSVLFjJ58gyzIafjx49j2bJF9OzZl549+5qOb926hdGjRzBy5Bi8vVsC8McfR5k791cOHz7E/fv3KFSoCM2be9OxYxeyZs2apnhcXBKGtt66dct0LCoqkvnz57B7dyBXr14BoFChwnh5taBTp65YW1sDf8/H/Pnnn/H1ncvhwwfJkycvkyZNp0CBgoSFnWL+fF8OHz5IZOQNbG3tKFOmLG++2RlPz0am6yXOH1y8eCUrVizDz28Dt2/fply58gwZ8j5lypRlwYI5rFq1nFu3blKiRCkGDhxC1apuj7y3xHm+o0eP5cGDByxdupALF/4kVy5nmjb1olevftjZ2XP9+nXeeONVKlWqwpQpM5PUM2TIAA4dOsDKlRtwds79V917mTdvDseP/4HBEE+ZMuV4662uZveVOM+2Z8++REVFsWHDGuzt7fngg4/x9GzM5s0bWL58KeHhZ4mPj6NEiZK8+mpr2rR5w+z6BoOBlSt/Y82aFZw7dw47OzuqVq1Gz579KFu2XFqa20ziXNl/zunNqLa4fv06s2ZNZ/fundy8GUXevPlo0qQZb7/dk2zZsqU75n/Hv3z5Evz8NnH+fDgPHjwgd+481KnjQe/e/cmVKxeQ8tz2RP+cK5zaOh/XtlFRUfj4/EJg4HZu346lcuWXGDx4WIbcd2qePYDz588xffoUjh07SlRUJHnzulCnTj169OiDs3NuU/sn8vJqQPXqNZkwYUqSOb2JZVu3bkuTJl7MmDGFkydDyZ7diVdffY1evfpx7txZJk0az5Ejh8me3YmGDZvQv/9A0zxhgDt3brNw4WK279jOpetRxBuM5MuXn4aNmtGjRx/s7e2TzE/38HA3m6sfGxvLnDk+bN0awPXr18iVyxkPD0969uyLs7NzhnzGT0pJr4iIiLzQateux5IlCzlwYL9Z0hsSsh+Aw4cPmpXft28PWbJkoXbtekBCEjxmzEisrW2oX98TZ+fcHDgQxLRpkwkK2stPP03Gxib1X7kuXLgA/J38RkdH07dvdyIiruHh0YAGDRoRFRXJ9u1bmTZtErGxMbzzzrtmdXz22Wfkzp2Xdu06cuXKZQoUKMjRo78zePA72NnZ4enZiJw5c3Hx4p8EBm5n5MgPGDduIrVr1zWrZ9SoD4mNjaVp01e4cuUS27dv5f33B1OrVh327dtDw4ZNuH//Hps2reeDD95j8eIV5M6d57H3uGTJQk6fPkWjRk2pVasu27cHsGDBXCIjIxk16jPy5s2Lm5s7wcFBRERcw8Uln+ncyMgbHDp0gBo1apkS3pUrf+OHH77B2Tk3TZp4kS2bAzt2bGPkyA9455136dy5m9n1V678DSsrK9q0acf58+FUqlSFzZs3MHbsaIoVK86rr7YCrAgM3Ma4cV8TExNN1649TOd//vkn+PltpFSp0rRp05a7d+8SEOBHUNBexo2bmOyc8if1JG1x6dJFBgzoTWTkDerVq0+xYiU4dSqUefNms3//PiZPnoG9vf1jIni80aOHExi4napV3Xjttbbcv3+PoKB9rFy5jJMnTzB9+mwAPD0bUbhwkSTn79q1g5MnQ6lc+aU015kouba9fTuWgQN7c/78Odzda1KqVGlCQg7w7rt9efjw4RPdc2qfvcjIG7z33gBiYqJp2LAJefLkJSzsJMuXL+XgwQPMmrXANKd73brVXLt2la5de1CsWPFHXv/IkcOsX7+GunU9aNOmHVu3bmHOnF+Jiopi61Y/KlSoxOuvt2P37p0sXboQGxsbBg4cAiT8oDB48DuEhh7HvXwJ3Evn5y527P7jLPPn+3LlyiU+++xr0/z0xYsXEB8fR6dOb+PqWh6AmJgY3nmnF+HhZ3B3r0mjRk24ePFPVq36jb17dzNt2q+p+m/C06akV0RE5AVhuH2D2xu/IP5qaJrOu22b0Iv48MGz2cfROr8rjq+MIovjs/miVLWqGw4ODhw4sN/UoxsVFcnZs2dwcMjGH38cIS4uzpS4BgXtpUKFSjg7OxMTE8O3336Bg0M2fv75F8qWdQUSvkx+/vkn+PtvZuHCuWYJ06Ns3bqF06dPkS9ffipUqATA8uVLuHz5Eh9//CktWrQyle3evTdvvdUWP7+NSZJeOzs7pk6dadajM2PGLxgM8UybNsvsi/TmzRsZO3YUfn4bkyS9d+7cYdasBaaFv0aPHsHWrVvYuXMH8+cvJU+evAC4uOTD19eHnTt38Nprj1+xOCzsJFOn+lCxYmUAunbtQceOr7Nlyybef/8j7O3t8fLyZv/+fWzduoUOHTqZfUbx8fF4eXkDcOXKZSZMGEfJkqWYNGk6OXLkBKBPnwEMHtyf6dOnUK9eA0qUKGmqIyoqEl/fRZQqVdp0bMGCuTg6OuLjMw8HBwcAevToQ6dOb7Bs2SJTG/r5bcTPbyPNm7fg448/NfWyd+nSnV69uvLFF5+yePHKNP3QkRpP0hbjxn1NZOQNvvtuvFkbL1o0j0mTxuPr60O/fgPNrhcSEkx8fPJ/88ltb3P48CECA7fj7d2SkSPHmI7HxcXRvXsnjh07ysWLFyhcuAieno3x9Gxsdv6hQyHMnTuL0qXL8P77H6W5zkTJte20aZM5f/4cffq8Q7duvUx1fPbZKLZu3ZL8B54KaXn2tmzZxLVrVxk16jNeeeVVUx3ff/8Vq1Yt58CB/dSqVYdevfoRHBxkSnof1wt/5sxp/ve/D3jjjTcBaNmyNV27dmDNmhV06dKd/v0HAfD22714/fUW+PltNCW9/v6bOXHiGN06tKVL3RIYb0dh7VyUd1wq06lPX7ZtC+DBgwem+elr167iwYP7ZvPOp06dSHj4GT744GNat25rOr59ewAjR37IxIk/MmbMl+n+jDOKkl4REZEXxO2NX3Bvj0+az3uyfpC0e3hmJwBOb/z0TK5na2uLm5s7+/bt4e7duzg4OBASEozRaOS119qwePECTpw4RuXKL3HmzGmuXbtqSiZ27NhKbGwsvXr1MyW8kLAF0ZAhwwgM3M7atauSJL3r1q0iOHif6fWDBw84ffoU+/fvw8bGhg8++MiUNNWp40GuXM6mJC9RwYKFKFCgENeuXUlyTw0aNDBLeAE6duxM69Ztk/Qcubkl9EpGRUUlqadFi1ZmK11XqfIyW7duwcvrFVOSBZiS18uXLyWpIznVq9cwnQMJKx1XrlyF3bt3cv16BEWKFMXTszE//PAN/v5+Zkmvv78fDg4O1K/fEICNG9fx8OFDevd+x5R0ANjb29OzZ1/ef38wGzeuM335ByhevIRZUgQJe5Xeu3ePs2dPm2LLnj07M2b4mtW7du1qrKysGDJkmCnhhYQhua1bt2X+fF9TApOR0tsWV69eIShoL/Xreyb5UaNDh04sXDiP9etXJ5v0hoQEpzq+/PkLMHLkmCTDqm1sbKhS5WXCw88QFRWVbA/vlSuXGTVqOA4O2fjqq3GmHx3SU2dybbtly2Zy5sxp1uNvY2PDu+/+74mS3rQ8ewZDwpzZ0NATeHl5kyVLwtJK/fu/S8+efc3aMC3s7Oxo3frv4fclS5Yie3YnYmNjzFZZzp49O8WKFefkyRM8fPiQrFmzUr58RYYPH0W98oUhKhSsEmLK7uhI2bKu7N+/j5iY6BRje/jwIZs2radMmXJmCS+Ap2djKlaszNatW/jww5EZNoQ+vZT0ioiIyAuvTp167NoVyOHDB6lduy4HDuzH2Tk3LVq8xuLFCzh0KITKlV9i3749AKZ9Mk+dOglgNiw6Ue7ceShSpAhnzpw2JdOJ1q833xfY1taW3Lnz0KhRUzp27Ez58hVN77m6lsfVtTx37tzmjz+O8Oef5/nzz/OcOHGMy5cvJns/RYokTSzq1EkYjn39+nVOnz7FxYsXOHfuLIcPHwLAYEjaq1ekSFGz14n3ULBg4STxA6keKprctiuOjgkJ3YMHDwDIli0bHh6ebNmyyTRE+9q1qxw5cphmzV4xxRIaegJImC986pT5KIY7d24Df7dTouRW737ttbb89NN39O3bnTJlylG7dl3q1KlHlSovmxKUhOsdx87OjqVLFyWp488/z/91vdAMT3rT2xYnTyZ8PjdvRuHjMy1Jvba2dly+fJHIyBtmw1BTs0/vPxUoUABv75bExcURGnqC8+fDuXjxAqdOhRIcHAQk/4zdvXuXESOGER19i++/n2CWwKanzn+37Z07t7l8+SLVq9dM0vueL19+s63D0iotz17jxs3w9f2VpUsX4ue3kVq16lC7dl1q166X7oQXEvYZ//d9OTg4EB8fb5rvnMjW1haj0WhKeosXL0Hx4iW4fe4gx8IvceHyVS7HniTs+noOHz4CYErWkxMefpb79+8TFxeX7LMVF/eQ+Ph4zp49Q6VKlZOp4dlR0isiIvKCcHxlFECahzdnfU7Dm5+l2rU9ADhwYD+1a9clJCSYqlXdKFWqNDlz5uTw4YN06dKdfft24+KSz9Srm/jF9p89cP+UN68LZ86c5t69e2ZJ7+TJM5Pdsig59+/fY+rUSaxZs4L79+8DCV/Wq1Z1I2fOXNy6dTPJOcnNz7x8+RITJoxj165AjEajac/PypVfIizsZLLbdNrbOyQ9CNjapm1xrn/LmtU2yTErK6u//t/fgTRv7s2WLZsICPCjU6e38ff3w2g00qzZK6YysbExAKxYsTTF60VH3zJ7ndxWUG+80YE8efKwbNlijhw5TFjYSebNm02+fPl5993/0ahRUwBu347FaDQya9aMR1wvOsX30iu9bREbGwvAkSO/c+RIyiuCR0dHP/HcyxUrljF79kxu3LgOgJNTDipVqkyxYsU5fvxYkmfMaDTy5ZdjCAs7Sb9+A5P9oSCtdf67baOjE56PlHoac+TIwZ07d9Jzu2l69vLly8/MmXPw9fUhMHA7mzatZ9Om9dja2tKiRSsGDx5m+sEiLZ7kb9RgMODr68PiRXOJvZ3wGeRycqRKlZcoUKAA58+fS3Yoe6LE+w8PP8OsWWdSLPfvv7/nQUmviIjICyKLY550DRn+5x6ilqpAgQKUKFGKAwcSFk66cOFPOnTohJWVFS+/7EZIyH7u3LnD778fonnzv+fjJX6RjoiIoFy58knqjYmJxsrKCicnp3THNmHCD6xevYLGjZvRps0blClT1jSUsmPH15NNev/NYDDwwQdD+PPP83Tr1gsPD09KliyJnZ09ERHXWLt2Vbrje5pq1KiNs3NuAgK20KnT2wQEbCZXLmdq1KhlKuPgkNAGy5atpUCB9PfaATRs2ISGDZsQHR3NwYPB7Ny5Az+/jXz66ceUKlWG4sVLYG/vQK5czixd+t/8zP4t8ceWXr360aNHn6d2HT+/jfzwwzeULVuODz74iLJlXU29qN9++wXHjx9Lco6vrw/btvnTsGHjZOe9p6fOf8uRI+Fv7/bt2GTfv3v3bqrv8d/S+uwVLlyEjz/+lPj4eI4fP8a+fbtZv34NK1f+hpNTjiRDzJ+2+fN98fGZhlvlCrSrU5bS+XOSt1BJspaoxdBPPuP8+XOPPD/x/lu0aMXHH3/6LEJON+3TKyIiIkLC8N+wsFPs3LkDwDSP0M2tOrGxsSxZsoAHDx5Qt2490zllyiRsT/P774eS1BcTE8Pp02EUK1b8iRY18vPbRJ48eRk79mvc3NxNCe/du3e5du3qI3tiEp08GUp4+FkaNmxC7979KV++gmnOb3j42b9KPb6eZ83GxoYmTZoRGnqcI0cOc/z4MZo0aWb2eZYuXQaA0NCkCdD58+FMmjSe3bt3PvI69+/fx9fXhyVLFgIJvX+eno0ZOXIMXbv2wGAwcOTIYQDKlCnD1auXk50DvXPnDqZPn8Lp02HpvueMVrp0WQBOnEg+QZwxYyrz5s0mLi7uia7j57cJgM8++woPD0+zYcPJPWM7dmzDx2caJUuW4uOPx2RIncnJls2RIkWKERp63DRSItGtWzdTPQ89OWl59nbs2Ma4cd9w584drK2tqVy5Cr169ePnnxOGBf/zvyF/j3p4uvz8NmJjY8MXw97BvVxhnHMkjFgxGo2mhPef/335d1wlSpTExsbGNMz73xYtmsfs2TOfysiHtFLSKyIiIkJC0mswGJg/35dcuZxNi+FUq+YOJHyBs7W1xd39715GT8/GZMvmyPLlS8zm9MXFxTF+/Hc8ePDAbKXW9LCzs+X+/fumYaoA8fHx/PRTQv0GgyHFVXYTJQ6bjIqKNDt+69ZNpk6daIr5v8jLyxuj0cgPP3z71+sWZu+/8sqrZMmShWnTJhMZecN0PC4ujh9//I5Fi+YRE/PoL912dnZs3LiOmTN/SZIEJb4uUKAgAN7erTAYDPz003dmc5gjIq4xbtzXzJ/vi6OjY/pvOIMVLVqMKlVeYteuQHbs2Gb23rp1q/H19WH//qAnXm068RmLjDR/xtauXWX6wSDxGTtzJozPP/8EJ6ccfP31DykOPU5LnY/SokVLbt++zfTpU0zHDAYDv/wy+bF/O4+SlmcvPPwMK1cuY/Xq5WZ1XLlyGcCspzixLeLinu4ygra2dsTHx3MrOhqMRlNSO2v+fK5du2q6l0TW1jY8fPj3a3t7exo1asrp06dMPxglCg4OYsqUiWzcuP6JRrpkFA1vFhEREQFeeqkqjo6OXLlymYYNm5iOlypVmly5cnHz5k1q1qxjNjfXycmJ4cNHMXbsKPr160mDBg1N+/SeOXOaatWq89ZbXZ8oLi8vb5YsWUjv3l2pV68B8fHx7N27m4sX/zTFFR0djbOzc4p1lChRElfXCoSEBDNwYB8qV36Jmzej2LlzOw8ePMTOzo5bt57/vLvkVKxYmaJFixEWdpLChYskWRCnePES9O8/iClTJtK1awfq1WuAk1MO9uzZyfnz56hf35OmTZs/9jr9+w9i1Kjh9OzZhYYNm+Dk5MSJE8cICQmmevWaVK9eA0jYEmbnzh0EBPgRFnaSmjVrExcXR0DAFqKjbzFw4HumBPm/Yvjw0Qwa1IeRIz+gdu26lCxZinPnwtm9eye5cuVi6NAPn/gazZt7s22bPyNGDKVJEy8cHR3544+jHD58EGfn3ERFRXLr1i2MRiMjRgzj7t071K3rxfbtAdy/fz/JiIWOHTunus7H6dixC7t2BbJ48XyOHTtKxYqV+P33w5w/H06uXCn/3TxOWp69Nm3eYM2aVUyePIEDB/ZTqlQZoqIiCQjwI1s2Rzp37m6qN3GP7i+/HEPNmrVN2xFlNC8vb06cOMbAT7+jQaViWFvbcPjsFcL+vGL6fKOjb5kWF3NxceHy5Yt8/vkn1KxZm+bNW/Duu//j6NEjTJz4Azt2bKVChUpcu3aF7du3kjVrVj76aPQz67l+FCW9IiIiIiT0rri712T79q1Uq1bddNzKyoqqVd3Yti3AbGhzoiZNmpE/f37mzPmVvXt38/DhA4oUKcagQe/Rrl3HJ+5B69//XRwds+Pnt5EVK5aRK1cuSpYszbBhwwkLO8XkyePZu3cX3t4tU6wjS5YsfPvtj/zyyySCg4M4ceIYLi75qV27Ht279+bnn39iz56dXL58KdmVjZ83Ly9vfHymJdm2KVGnTm9TvHhJFi+ez7ZtARiNBgoVKsLgwUN5/fX2ZlsLpcTTszHjxk1kwYI57Nq1g9jYGAoUKEjPnn3p3Plt0xf3LFmy8NVX37N8+RLWr1/L6tUrcXCwp1Sp0nTs2AUPjwYZeu8ZoUSJksycOQ9f35ns3bub4OAg8uZ1wdu7Jd2796ZQocKPr+Qx6tdvyCeffMHChXPYvHkD9vYOFC5chPffH0H58hXp3ftt9u7dRYMGDbl0KWHVcX//zfj7b062vlat2qS6zsaNmz4yNltbW8aPn8KsWTPw999MaOgJypVz5ccfJ/PNN2NNK4anR2qfvRw5cjJ58vS/etb3ceDAfrJlc6Revfr06NHXbB/pbt16c/78OYKC9nLx4sWnlvS2b98RKysrVi6dx4ag42R3sKdI/ryMGTECm+zOjBo1nD17dpn2DB8wYAjffPM5/v6buXnzJs2btyB37jzMnOnLnDm/smPHdv744wi5cjnj4eFJ9+69KVOm7FOJPa2sUjMPJLOIiIj5z97Mi7AIiCVRe2U+arPMRe2Vuai9Mhe1V+ajNstcLK29HpzZTdyl37GydSSLfU6ylqhFlhz5n3dYyXJxcUpXt7Hm9IqIiIiIiLyojAYwGLDk1FDDm0VERERE5IW3aNE8bt++/dhyjo52FC1alHr1mjy27H+d0WjEaDQkvHj+U2+fGiW9IiIiIiLywlu8eAEREddSVbZOnToWkfRiNIDRCP+BxaaeJiW9IiIiIiLywluxYn2qylnUnF5DfELia8FDm8HS705ERERERESSZzQk/LPwnl4lvSIiIiIiIi8iU9Jr2WmhZd+diIiIiIiIJM80p9ey00LLvjsRERERERFJlvGvnl4rDW8WERERERERi5O4kJWSXhEREREREbE4Gt4sIiIiIiIiFstoVNIrIiIiIiIiFspoADS8WURERERERCyQ0RCPUT29IiIiIiIiYpGMBjAYAPX0ioiIiIiIiKX5a3izVRbLTgst++5EREREREQkeYmrN1t4WmjZdyciIiIiIiLJ0z69IiIiIiIiYqmMRgNGo0ELWYmIiIiIiIgFMu3Tq55eERERERERsTSJc3rV0ysiIiIiIiIWx2j4a06vZaeFln13IiIiIiIikjxDPKDhzSIiIiIiImKJjAYwxGOlpFdEREREREQsTcLqzUawsn7eoTxVSnpFREREREReREYDoH16RURERERExBIZ4hNWb0ZJr4iIiIiIiFgaowEMWr1ZRERERERELJHRSMLqzZadFlr23YmIiIiIiEiyjKZ9ejW8WURERERERCyN0ZDQ22vhPb02GV2hq6trIeA48GloaOj4f73nBIwG2gLFgBggEBgTGhp6KKNjERERERERkaSMBgNGQzyA9ulNC1dX1+zAciBHMu9lIxSuelAAACAASURBVCHB/QC4BkwE/IBXgT2urq71MjIWERERERERSYGpl9eyE17IwJ5eV1fX4iQkvG4pFBkMvAxMDA0NHfKP8zwBf2Aq8FJGxSMiIiIiIiIpMM3nteyhzZBBPb2urq7vAUdISGoDUijWFjCSMLzZJDQ0dDuwDaji6upaOCPiERERERERkUcwGngRVm6GjOvpfQ84B/QDygGNkynzC5D//+zdd5wkV33v/e+pTpNndjZqd6WVtJJKCQnLCMlkAzZBgA3GcK/DBYMBX2M/xgEHwBhbgI3vNWDjiE00D1yb6Ae4thAm2MYEI1AArUpxFTZOTh2rznn+6J7q7pnp2dXuTPdU9+f9eu1rpk5Vnz61Z//57e+c3wmCYH6Ne6Xaz6ENGg8AAAAAoBUb1QJfljefrtdI+mIQBJHv+5es9UAQBO9fq933/R2SnixpSdLhDRoPAAAAAKAF56xke2N584YEvUEQ3HQWH/9fkoYl/VUQBKVTPbyenTuHz+bjbZGEMaKO+Uoe5ixZmK9kYb6ShflKHuYsWZI+X1HeKj/Vp9AOKDs2oErYL6+vXwPbh5QeS/a7rdTRsN73/TdJermqS6Pf2MmxAAAAAEDPoHrz5vN9/w9ULWo1JemGIAhmzrbPiYmFsx7XZln+n6CtPEbUMV/Jw5wlC/OVLMxXsjBfycOcJUu3zJddmlNldkl2qaxULq9ooSCvnFZhalFeZWu+25lm19se9Pq+n5L0N5Jeqep5vT8aBMH32z0OAAAAAOhZdvnIIjK9G8r3/Zykj0t6vqpFq340CIJ72jkGAAAAAOh58fLm7i9k1bY39H3fSPqoqgHv9yU9kYAXAAAAANrPOVut4NwDQW87M72/LOlFku6V9LQgCCbb+N0AAAAAgGUUstpYtWXNv1u7vF3SL/m+v9ajfx0EwfF2jAkAAAAAepaNJBfJEPRumMsk7aj9/qLan7V8RhJBLwAAAABspuVMb2dPsW2LDQ96gyD4oKQPrmi7VVL3/xcCAAAAACSBq1VvTmU6PZJN1/1hPQAAAACgiXNWTk69kJsk6AUAAACAXsORRQAAAACArmVt9U8PFLIi6AUAAACAXuOspN44p7f73xAAAAAA0IzlzQAAAACArlWr3twL5/QS9AIAAABAj3EuknMsbwYAAAAAdCO7vLyZTC8AAAAAoNvUljeT6QUAAAAAdB8KWQEAAAAAutbykUVieTMAAAAAoMs4ayXLnl4AAAAAQDdiTy8AAAAAoBs5a+PjijinFwAAAADQXVzUM8cVSQS9AAAAANBb4qXNBL0AAAAAgG6zXLm5B/bzSgS9AAAAANBb4srNvREO9sZbAgAAAAAkqVrEytmeKGIlEfQCAAAAQG9xkVjeDAAAAADoTjaqLnE2qU6PpC0IegEAAACgl9iomu31eiMc7I23BAAAAABIkpwN5WxEphcAAAAA0IWiULKRDJleAAAAAEDXsdWgl0wvAAAAAKDrOBtVjy3yCHoBAAAAAN3GhtXqzQS9AAAAAICus1y9meXNAAAAAIBus1y92ZDpBQAAAAB0HRvWMr29EQ72xlsCAAAAAKpsxJ5eAAAAAEB3ctHykUW9EQ72xlsCAAAAAOSslXORJNe0p7d6jJHr3MA2UbrTAwAAAAAAtImLalneesBbvvffVfjyO2Vywxp52UeUHdndwQFuPDK9AAAAANArlotYefVQsHTLx6SoLJefUunWT3ZwcJuDoBcAAAAAeoSLQilqzvTapYn6A1G5A6PaXAS9AAAAANArapleU8v0OmelciG+bfpGOjWyTUPQCwAAAAC9YuVxReW8pHoBK4JeAAAAAEBy2UhyNl7e7EpLTbdNbqgTo9pUBL0AAAAA0COcDeVsFGd6XXmx6T6ZXgAAAABAci3v6W2R6fUIegEAAAAAiWXD6hLn5UJW5RXLmwl6AQAAAABJ5Wwk5+pHFq0Oeoc7MaxNRdALAAAAAL0iWs70tipkRdALAAAAAEgqV63ebFoubyboBQAAAAAkVFy9OS5k1VC9Od0n46U7NLLNQ9ALAAAAAL1i5fLmcj6+ZbIDnRrVpiLoBQAAAIBeYavLm2WWlzfXM70EvQAAAACARHO2dSErk+nOoHfDF2z7vr9X0iFJvxcEwbvXuP8/JP2qpEskzUj6R0lvDoJgceWzAAAAAICN4WxU3c8rI2NWF7Ii03safN8fkvQpSWueaOz7/u9I+lDte98j6TZVA+Av+L6f3cixAAAAAAAa2KiW5a2HgY2FrAh6T8H3/QOSvirpunXu/4Gkr0t6XBAEvx0EwQ2SbpT0Q5JevVFjAQAAAACsYMPqkUW1ys2SpIZCVsoOtn9MbbAhQa/v+6+TdIekqyV9qcVjr1Z1OfXbgyCoNLS/XdK8pJ/fiLEAAAAAAFZb3s9rlvfzOsfy5kfhdZIelPQUSX/f4pmn1H5+pbExCIKiqtnfq33fH92g8QAAAAAAGsWZ3loYWClUKznXmEx/hwa2uTYq6H2NpMcGQfCf6zxzUNKJFgWrDtd+XrJB4wEAAAAANIoiydqGM3qXmm6bLl3evCHVm4MguOk0Htsu6YEW9+ZqP88q07tz5/DZfLwtkjBG1DFfycOcJQvzlSzMV7IwX8nDnCVLEuerkl5Qfionlx1UZmxA5XKkhYb7A2Nj2r59SOmx5L3betp5Tm9GUqnFveX2vjaNBQAAAAB6S1y9uZrptaXmTK9HpvesFSS1OpYoV/u51OL+aZmYWDj1Qx2y/D9BW3mMqGO+koc5SxbmK1mYr2RhvpKHOUuWJM9XNDWryuyiZDx5Jq/K9FTT/UKY0tTUorzK1ny3M82utzPTO6PWy5eX2+da3AcAAAAAnAVnQ7mGQlaNZ/RKkqjefNbulrTb9/21SoJdIMlKuqeN4wEAAACA3mGXC1nVgt6VhawyBL1n6z9q3/fkxkbf9/skXS/p+0EQbM08OgAAAAAkXXxkUa16c2ll9WaC3rP1UUmRpLf4vp9raH+DpBFJ723jWAAAAACgpzgbSjaSWevIolRGJpXp0Mg2V9sKWQVBcJfv+/9b0m9J+q7v+5+VdIWkGyR9TdLftmssAAAAANBzbFTd0+utzvR269Jmqb2ZXkn6HUm/JMlJ+hVJV0p6l6QbgiBodZwRAAAAAOBs1TK98fLmckMhq8xapZe6w4ZneoMg+KCkD7a45yT9Re0PAAAAAKBdbCQ5G1dvVmOmN9u9QW+7M70AAAAAgDZzzslFYa168+o9vaaLM70EvQAAAADQ7WwkZyPJGBljJK0Ieru0crNE0AsAAAAA3c+GtaXNqbip6cgiMr0AAAAAgMSyUfXP8tJm51jeDAAAAADoDs6Gkquf0auwVM3+1rC8GQAAAACQXPFxRdUQsDHLK5HpBQAAAAAkmY0k13hGb3PQK44sAgAAAAAklbNhtXrz8p7e0spML8ubAQAAAABJFVWrNxuP5c0AAAAAgG7jatWbl5c3lxabbhuWNwMAAAAAksrZUM41LG9euaeX5c0AAAAAgMSKIimyVG8GAAAAAHSh2jm9y5leNRay8tJSKtOZcbUBQS8AAAAAdLnl6s1mjSOLTHZQxphODW3TEfQCAAAAQLez1erNax1ZZHKDnRpVWxD0AgAAAEC3s7XqzXEhq3r1ZpMd6tSo2oKgFwAAAAC6nLNRdU9vXMgqH98j0wsAAAAASCznnJwNJedkvNXn9JosQS8AAAAAIKlsWF3abOrhX9ORRQS9AAAAAIDEWnlckShkBQAAAADoEi4KJWul5eOKoooUleP7LG8GAAAAACSXqxaxMt5yEaulptsmR/VmAAAAAEBS2ag501taEfSS6QUAAAAAJFZUK2S1nOltqNwssacXAAAAAJBgzobVc3qXM70rlzeT6QUAAAAAJFatenP9jN6Ve3oJegEAAAAASbV8Tu/ykUWrMr0UsgIAAAAAJJSzVs7Z1subyfQCAAAAABLLrlPIynhSuq9DA2sPgl4AAAAA6Ga1Pb1rZXpNdlDGmE6NrC0IegEAAACgiy1Xb44LWTUGvV2+tFki6AUAAACA7rZ8Tq9ZXt7csKe3y48rkgh6AQAAAKCruahSXd6cylSvVyxv7nYEvQAAAADQpZyNqkGvdWue08vyZgAAAABAckWVaiGr5TN6JblyvXpzt5/RKxH0AgAAAEDXclFZiioyqXS9rZyPfyfTCwAAAABIrqhSO6O3tp/XRlKlEN9mTy8AAAAAILFcWK7u6a1lehuLWEkEvQAAAACAJIvKkg1lvFrQW1oR9LK8GQAAAACQVC4qy9mKVAt61VDESiLTCwAAAABIsrAiRWHDGb35ptsmR/VmAAAAAEBCVTO9UcPyZjK9AAAAAIBuUTuyiEJWAAAAAICu48KKZMN4Ty+FrAAAAAAAXcHZSM6GkpOMl6q2FefrDxhPyvR3aHTtQ9ALAAAAAN0oKku2vrRZkmxhJv7d9I/GwXA3I+gFAAAAgC7kwrIU1c/olSS31Bj0buvEsNqOoBcAAAAAulG0fFzR2pleb2C8E6NqO4JeAAAAAOhC1eOKKpKXqbflp+PfzUBvZHrTp35kY/m+v13SWyW9QNJOSUcl/aOktwRBkF/vswAAAACA07RiebOzkVxhLr7t9UjQ29ZMr+/7Q5L+Q9IvSAok/amqQe/rJd3s+37bg3AAAAAA6EYuqlSrNy+f0Vuck5yN7/dKprfdy5tfI+lSSX8aBMHTgyB4vaQnSvp/JT1B0k+3eTwAAAAA0J2icvMZvfmZptvs6d0c19Z+vn+5IQgCJ+nvapfXt3k8AAAAANCVXFSWi0KZVHVPr10R9JLp3RxTtZ8HVrTvq/2caONYAAAAAKB7hbVzeltkek2PZHrbvYf2/ZJ+XtK7fN+flvRdSY+X9A5Jc2rIAAMAAAAAzpyLQimKJC8lSbINlZul3ilk1dagNwiCW3zf/xFJH1O1oNWyhyQ9MQiCw2fT/86dw2fz8bZIwhhRx3wlD3OWLMxXsjBfycJ8JQ9zlixbfb5cFGrpZEal4T71jVfHOh0tqFS7b7ID2raznumthP3y+vo1sH1I6bGt/W6PVrurN++S9HZJ50j6rKQ/kfQVSedJ+hvf98faOR4AAAAA6EYuLMtFFZlUPc8ZLdYzvanB3ljaLLV/efNHVa3W/NIgCP5xudH3/V+V9E5J75X0kjPtfGJi4awHuFmW/ydoK48RdcxX8jBnycJ8JQvzlSzMV/IwZ8mSlPmyhVlVZuZl85EKs3lJUmluMr7v+sY0W2uXpGihIK+cVmFqUV5la77bmWbX25bp9X1/v6RnSPq3xoBXkoIgeJekOyX9hO/73ZVLBwAAAIB2CytSVD+uSJJcw57eXtnPK7V3efO5tZ+HWty/U9Xx7GtxHwAAAABwGpaPK2oMehuPLOqVys1Se4PeE7Wfl7S4f7EkJ+lke4YDAAAAAF0qqh5XtHxGryvnpbAY3zYDvVNOqW1BbxAE90u6RdLTfN//scZ7vu+/UtLVkm4KgmB6rc8DAAAAAE6Piypytp7ptSvO6PV6KNPb7kJWr1S1WvOnfN//rKRA0lWSni3pmKRfbPN4AAAAAKD7hGXJRlKterNbEfQa9vRujiAIbpP0OEkfkXSdpF+T9BhVqzb/YBAED7RzPAAAAADQjap7eisyZHrbnulVEAT3SXpZu78XAAAAAHpGVKvevLynN9+8i5RMLwAAAAAgkZxzclFFsqHkpapthYZMr/Fk+kY6NLr2I+gFAAAAgG5iw2rQazwZUw357FI902v6t8XtvaB33hQAAAAAekFYri5tbjijtzHT6w32ztJmiaAXAAAAALqKi8/orQe9jYWsTD9BLwAAAAAgqeL9vJm4qfHIItNDlZslgl4AAAAA6CrV44rC+hm9NpIrzMX3vR6q3CwR9AIAAABAdwnLUsMZva4wK8nFt3vpuCKJoBcAAAAAuoqLKnI2qmd6V5zRS6YXAAAAAJBcUblpT29jESuJPb0AAAAAgARzYVmuoXqzWxH0kukFAAAAACRXVJGiKD6nd3Wml6AXAAAAAJBAzjnZeHnzGnt6s4My6VyHRtcZBL0AAAAA0C2iihSFkknJGCOpOdPba0ubJYJeAAAAAOgey1ne2n5eqTnT22tLmyWCXgAAAADoGi4qS7Z+Rq+0MtPbW5WbJYJeAAAAAOgeYa2I1XLlZueaqjeT6QUAAAAAJJaLqscVLZ/Rq3K+uuS5hkwvAAAAACCxXKUoF5VlUtWg1zZWbhaZXgAAAABAkoVFKSxLtWOJ3IozeqneDAAAAABILFcpyIVkehsR9AIAAABAF3DOyVVK1bN609lq24pMr2FPLwAAAAAgkcLqfl55aRlTDfUajyuSl5bJDXdocJ1D0AsAAAAAXcBVilJUlqlleSXJFZqPKzLGdGJoHUXQCwAAAABdwIUlubAspRqC3qX6nl6vv/f280oEvQAAAADQHSoFKSzL1Co3S5JtzPQOEvQCAAAAABLKVZYzvZl6W8OeXjK9AAAAAIDEcmFBLirL1JY3u6giV5yP7/di5WaJoBcAAAAAukOlJEXldY4rItMLAAAAAEggF4WyYUmyVqa2vNnOH2t6xhvZ3YmhdRxBLwAAAAAkXViUwlKc5ZUkO7cy6D2n3aPaEgh6AQAAACDhqmf0VuL9vJIUzR+tP2A8eUO7OjCyziPoBQAAAICEc2FRbmWmd/54/LsZ2imTSndiaB1H0AsAAAAACecqzZWbpeblzakeXdosEfQCAAAAQPJVSlLYULnZuaZCVt4oQS8AAAAAIKFWZnpdcV6qFOL7vVrESiLoBQAAAIBEc85V9/OGFanlcUV7OjG0LYGgFwAAAACSLCzJhWXJ82S8lKQ1jisa3duJkW0JBL0AAAAAkGAuLEpRWSadi9vI9NYR9AIAAABAki0XsaotbZZWHFfUPyaT6e/EyLYEgl4AAAAASLB6Eau1M729XMRKIugFAAAAgERzy3t6042ZXo4rWkbQCwAAAAAJtuq4okpRLj8T3yfTCwAAAABIrrC2p7dWyKpxP6/U20WsJIJeAAAAAEgsZyPZSlGykeSlJa1VuZlMLwAAAAAgiSrFuHKzMUbSGkEve3oBAAAAAElUP6M3G7fZuYagN9Mv0zfagZFtHQS9AAAAAJBQrlKsVm5ONQS9DXt6vZE9cQa4VxH0AgAAAEBCuUphdaaXM3qbEPQCAAAAQFKFJbmonul1NpJdPBnfJuiV0p34Ut/3f1rSr0i6UtKcpK9JekMQBHd3YjwAAAAAkESuUpALy/JqmV63eLJaybmm14tYSR3I9Pq+/1ZJH5E0JukvJX1F0o9L+obv++e3ezwAAAAAkETOOblKSWrI9EZzzWf0pnr8jF6pzZle3/cfL+kNkr4q6TlBEBRq7Z+U9HFJb5b0inaOCQAAAAASKSzJhSVJnoyXkiTZ+aNNj7C8uf3Lm19b+/nq5YC35pOS3ivpoTaPBwAAAAASyZWXpLAgk+mL25rO6PVSMkM7OzCyraXdQe9zJN2xcu9uEARO0mvaPBYAAAAASCxXzleXNzcGvQ3Lm72h3XEG+JTCsjSYkdKZjR5mx7Ut6PV9f5eknZK+6Pv+pZLeLunpkoykL0j6zSAIHmjXeAAAAAAgyVxpSa5SlMkNxm1NxxWNnt5+XmcjubAkkxmU6Rvd8HF2WjszvXtrP/dJ+pakeyW9X9Klkl4s6Sm+7z8+CIIHz/QLdu4cPutBbrYkjBF1zFfyMGfJwnwlC/OVLMxX8jBnybIV5quwIBX6pMz4uLzcgJxzml+oZ3r7dp6rsbGBU/YT5WcVbR9X/7596ts9tplD7oh2Vm9e/u+Hp0j6tKRrgyD4tSAInivp/5G0S9K72zgeAAAAAEgkZ62i0lI1Q5utLm+2SzNylWL8TGZsb6uPN7HFBXl9w/IGt23KWDutnZleW/sZSfrVIAiihnt/Iel1km7wfX8gCIL8mXzBxMTCWQ5x8yz/T9BWHiPqmK/kYc6ShflKFuYrWZiv5GHOkmWrzJcrLao8Ma0oH6k4Vw10w2P3Nz1TymzX7OypQ6twYkKp8fNVLKTlbeF/h2eaXW9npneu9vNwEATTjTeCILCSbpeUkXReG8cEAAAAAInjSsuVm/vjtqbKzZK80VMfV+TCkuScvL4hmVznl2xvhnYGvfermuXNtri/XCbsjLK8AAAAANArXLlWxKrVcUWSvOFTF7JypUWZ3JBM/5iMMRs+zq2gbUFvEARFSd+WdK7v+xc13vN9Py3paklTko60a0wAAAAAkETLQa9aBL1mYLwpIG7ZT2mxmuXt774CVsvamemVpPfWfv6Z7/uNB0D9uqT9kj68Yq8vAAAAAGCF6hm9RZl0PbCNph+Kf/dGT13EyjknV1qUskPyBrqziJXU3kJWkvQBSc+X9OOSbvV9/58lXSbpuZLulvT7bR4PAAAAACSKC8uy5bzkrEy6unvURRXZmXrQm9p+wak7qhSkVEZe3/BpZYWTqq2Z3iAInKSflPRrtaZfkvRYSX8p6QlBEMy1+iwAAAAAoLq0WeGK/byzj0g2jK9TOy48dT+lRXm5IZmB7l3aLLU/06sgCEJJ76r9AQAAAAA8Cq68JFcuSo1Lm6ceaHrmdDK9rrQgb3invIHxDR/jVtLuPb0AAAAAgLPgynm5FZneaLLhjF7jydt2YP0+bCRXKchkh2X6RjdrqFsCQS8AAAAAJIgrLVYD1oYzeqOpetDrjZ0b7/Vt2Ud5SSY7INM/IpNq+wLgtiLoBQAAAICEcM7JlfNSpSSlc3GbbVjenNpxGkubiwsyue6u2ryMoBcAAAAAkqKcl6sUpFRaxktJktzSlFxxPn4ktf30iliZbHefz7uMoBcAAAAAEmI5y9u0n7dhabMkeacIel1UkVwk0zcs0zeyKePcSgh6AQAAACAhXLm2nzfduJ93ReXmUyxvrmZ5B+X1j8oYsynj3EoIegEAAAAgIZYrN6vxjN6Gys1mYFzeKZYsu/KSTG5Qpr+7qzYvI+gFAAAAgISoV25e+4ze0zufd0kmO9gTS5slgl4AAAAASAQXVWTLBclGUqp6JJGrFGXnjsbPpHaczn7esHpcUXZoU8e7VRD0AgAAAEACuPKSFBZl0n3xXtxo+rAkFz/jnSLT68r56n7evhEZrzfCwd54SwAAAABIOFfOy1Wa9/NGk82Vm0+1vNmVl6pZ3h7ZzysR9AIAAABAIrjSklxYkEk3FLFqrNyczskb3bd+J+Xe2s8rEfQCAAAAQCK44rxcuSCTaTyuqJ7pTW07IOOlWn/eRnJhSSYzQNALAAAAANg6XBTKlhalsCRlq0Gvs5GiqcPxM96pzuct52Uy/TL9I+sGx92GoBcAAAAAtjhXnKsuTc70y5hqGGfnj0thMX4mtX39ys3LS5u9HsrySgS9AAAAALDlVZc252WyA3GbnVpZxOoUxxWVl2RyvVXESiLoBQAAAIAtzxbnq0cWZQfjttWVm89v+XnnrFylIGWHemo/r0TQCwAAAABbmrNWrrgQn7G7LGqo3OyNnNOUBV6lXKhWd84NyaQymzncLYegFwAAAAC2MFdakCstSalsUwGqxsrN3mmcz+tlB2X6eyvLKxH0AgAAAMCWVt/PW8/y2sKc3NJUfJ3acar9vPlaEave2s8rEfQCAAAAwJbmavt51y9i1TrT65yr7QfurfN5l6U7PQAAAAAAwNqcc3Gm1xs5J24Pjx9qei6146LWnYRFKZWW1zckk+lbdXuqnNcfBV+SJP22/3RtX29vcAIR9AIAAADAVlXOy5aXJEkmnY2bw2Pfi383w7vlDe1o2YUrVc/nNS2WNv9R8CV96MFbqn3J6I8fc8NGjHzLYHkzAAAAAGxRtjgvlZr387qooujEXfF1+pwr1+3DlfPVIlYtljbfszAZ/373wsRZjnjrIegFAAAAgC3KFedlV+znjSbvk8JSfJ3ee6qgd1HKDcrrwf28EkEvAAAAAGxZrjhXLWKVazif9+j3mp5J7bmi9ecrRcl41fN5G/roJQS9AAAAALAFubAkW1qSolBK1wtQhce/H/9uBrbJG93buo/SokzfkEz/2KaOdSsj6AUAAACALcgV5qVyXiY7IGNMtc1GCo/Vg970OVfG99bso7QoLzssj6AXAAAAALCV2OJcNVPbUMTKTj8o1ao5S1JqnSJW8fm8uUGZAYJeAAAAAMAWUi1ilW8qYtV4VJF0isrN5byUzsrrG5ZJ5zZrmFseQS8AAAAAbDEuCmWLC1JYlFoEvSY3JG/8vNZ9lBarBax6eGmzRNALAAAAAFuOK85JlbxMuk/GVMM255yihv28qT2Xx/fW7KO8WA2MB7Zt+ni3MoJeAAAAANhibH5GrjAvkxuut80dlSvMxtfrLW12NpKrFGSyQzJ9o5s61q2OoBcAAAAAthiXn5YtLcj01YPeaMV+3nWLWJWXqlWf+0dkUulNG2cSEPQCAAAAwBbiSkuyxXnJRlKmP25vKmKV7lNqx8F1+qgtbe7x/bwSQS8AAAAAbCk2Py1XWJDpG2k6gzc8Wg9607svXTeDWz3qaKinjypaRtALAAAAAFuIzU/LlVbs5104Kbd4Mr5O7V1naXNUkWxFJjckkxvZ1LEmAUEvAAAAAGwRLqrI5mflygWZ3FDcHjZUbZZOUcSqluX1+kdlPEI+/gYAAAAAYItw+RmpuFAtQuWl4vamIlZeWqldl7Tuo7QokxtkaXMNQS8AAAAAbBF2aVp2xdJmqbmIVWqXL5POteyDIlbNCHoBAAAAYAtwzskVZuSKi81HFc0dlZ19JL5Or7eft1KUjOTlhqXs4KaONykIegEAAABgC3DFOdnCnOSlmjK54eFvNj2XPvD41n2UFmVywzL9Y02Vn3sZQS8AAAAAbAFuaVquuCCvr3lpc+XBetBr+sfW389bnJfXNyJvYNumjTNpCHoBAAAAYAuw+eX9vPVjhmxxQVFD5eb0TifkjgAAIABJREFUgcfLmLXDOGcjuUq+mukdHN/08SYFQS8AAAAAdJgr52UL81JYkbIDcXv40LclZ+PrzPnXte6jOF8tYDUwJpPKnPZ3l6J6/9a5RznyrY+gFwAAAAA6zOZnakHrcNNe3LBhabNSWaX3PbZlH664INM3IjO4/bS/1zmnYDIfXx9fLD+6gScAQS8AAAAAdJjLT8uVFpqqNruoospD346v0/sfK5PpW/vzzlY/nxuW9yiC3v86Mq/FchhfR2R6AQAAAAAbyYVl2aWZuPLysvDo96RKIb7OnH996z5KS1Kmr7q0uUVgvJb3f+dI0/WOgdNfFp0UBL0AAAAA0EF28aRcYVYmNySTSsft4YPfaHoufeDaln3EVZsfRZb35FJZn71roqmtP5067c8nRceDXt/3/7fv+873/ad1eiwAAAAA0G524aRsflqmv37MkHNOlYbzeVO7fHkDa1dkds7JFedk+h9d0PuRW4+qYrtvOfNKHQ16fd9/vKTXdXIMAAAAANAprrRYLWJVKTbt57VTD8gt1rOw6XWqNqtSkLy0vL4RmdzQaX1vaK0+dOvRMx53knQs6PV9Pyvp/ZK6L38OAAAAAKfBLpyUy8/I9I81nb9baazarFMdVTRXDXhbZILX8s93T+nYQvdVal5LJzO9b5R0saQvdnAMAAAAANARzjnZxQnZwqy8/rGme2HD0mYzvFvetgMt+7GFeZm+R1e1ubGAlVnnuW6QPvUjG8/3/ask/Y6kt0sak/TMTowDAAAAQG+bKud146GbdXhp5rSez2SrC1Ur5eisv9vZUK44LxeWZApLcftYcV5/MnFPfP2F8Qv1fx76bqtO5CpFeaW8zOzx0/refCXSrakF6YLqdXogr8oZv8XW1/ag1/f9lKT3SbpH1aD3j9s9BgAAAACQpBsP3ayPPnxrp4chhfWlxi85clvTrY+N7dc3C7Prfz5flvKnF7hLkgbrv3ZzwCt1JtP7G5KukfSkIAjKvu9vWMc7dw6f+qEOS8IYUcd8JQ9zlizMV7IwX8nCfCUPc9YZRyrznR7CKs8/cWf8+3wqp1tG97Xtuy/dvrvr/i22Nej1ff8SSW+R9JdBEHy9nd8NAAAAAOsZzfbpseN72/JdLizLFhbkwrJMtj9u37U4qWvm61WVb913la4f3dmiEydbzsvLDSo1MHZam3MfmS3qvqn6Ump/55D2jOQkSQeHd+gdj7vhzF5oC2tb0Ov7vlF1WfNJVffzbriJiYXN6HZDLP9vyVYeI+qYr+RhzpKF+UoW5itZmK/kYc46q3Fv7hVDu/Xxx/3sus9v1HyFR+9Q5ZHbZHLD8gbrVZeL3/qwSg3PPeeal+r5ey5bsw+7OCEXlpTZ/1ilWzzTqFCJdO1ff1Naqi6lHu9P6wsv+iH1Z+oH6rgFq4mFrflv8Uwz0O2s3vxaSU+S9D+DIFhs4/cCAAAAwJbhwpKixSm50qJM/2i93UYqB/8aX3uj+5TafWnLfmx+Rt7ANnnDu07rez96+zGdXKrvHX7Ntec2Bbzdqp3Lm19c+/n5Fvt4v1xrvyAIgsPtGhQAAAAAtJOdPyFXmJXJDcl49aAzOnq73NJkfJ3xnylj1l6z7CoFyVl5/WMy/dtO+Z2l0OrPvvFQfD2aS+uV17Rvr3AntTPo/aCkr6zR/mxJ10n6kKTDkk5RlgwAAAAAkslZKzt/TDY/JW/4nKZ75eCLDVdG2Uue3rKf5SyvGdoh4516Ae/H7jimYwv1LO+rr92vkb6OnGDbdm17yyAIPrhWu+/7Y6oGvR8MguAr7RoPAAAAALSbW5qUXZqSnOT11feoutKSKvf/Z3yd3v8D8oZ2rN2Hc3KFWXk7D8ob3n3K7yxHVn/29XqWdziX0qse1xtZXqm9e3oBAAAAoKdFc0dkl6bkDTYHtJX7/l2K6pnYjP+Mln240oKUzsnrH2sKnFv5+PdO6JH5enmsV/3gfo31Zc5g9MlE0AsAAAAAbWALc7KLk3KlvMzAWNO9pqXN2QFlLvihlv24/Gw14D2NLG8lsnrXfz4YXw9mU3r1tfsf/eATrOOLuIMgeJ2k13V6HAAAAACwmezsEdmlSXmD4zKmnn+MZo8oOnEovs4efIpMOrdmH85GcqUFeWP7Tqtq8yfvPKmH5orx9Suu2avx/t7J8kpkegEAAABg07lKQdHCCbnCvMzg9qZ7laYCVtWqzS37KczJ5IaUGtreMjCO+42s3t2Q5R3IePqFa889g9EnG0EvAAAAAGwyO3dULj8tkxuWSdUzrc5GKt/9pfj6VGfzukLtbN6hU2d5P3zrUd0/U4ivX/YDe7VzMHuGb5BcBL0AAAAAsIlcFCqaOy67OLWqInN4+BunfzZvWJILyzL9YzItKjsvmy1W9Mf/fji+Hsqm9Nrrzjvzl0gwgl4AAAAA2ER24bhcfkomnZXJ9DfdK932qfqFl1Z2vaXN+Vl5/aPyhnfKeKl1v/NP/uNBzRTD+Pp1TzigXT2Y5ZUIegEAAABg0zjnZOeOKlqclBna2XQvPH6nohN3xdeZi39Y3uB4637y0zID4/JW9LPSvVN5ve87R+Lr80b79OoeOpd3JYJeAAAAANgkduGE7OKkZK1MrvlM3aYsr6Tc1S9s2Y8rzslkcvIGx+UNbFv3O3//y/cptC6+/r0fvlB96fUzw92MoBcAAAAANoGzVnb6QUXzJ+SN7G7aqxvNHlH4wDfi6/S5j1Nq/EDrvhYn5Q3ukDe6d93v/Orhad1071R8ff3+UT3PXz8z3O0IegEAAABgE9j5Y9Usr3MyfaNN98q3f0ZSPRube+yLWvbjynk5G1aXNq9zNm9ord78r/fF10bSjc+8qGVhrF5B0AsAAAAAG8zZSNH0Q4rmj6/K8trCnMoNZ/N6Ow4qtfeqln3ZWpY3Nbpn3QJWH7ntmA5NLMXXL7lyt67eM9zy+V5B0AsAAAAAG8zOHpFbmpAxnry+kaZ75e9/XorK8XXu6he1PqYoqsiVFqp7eddZ2nxsoaQbv3J/fD2Q8fTGp154lm/RHQh6AQAAAGADuaiiaPaR2l7ePc33wpLK3/tcfG2Gdipz4ZNa97U0JW9gm7zh3TLp3NrPOKffvOluLZSiuO11P3RAe4bXfr7XEPQCAAAAwAays4/ILpyUSedkckNN9yp3f0muOBdf5x7zYzKp9Jr9OGerxxQNbZc3ek7L7/v0oZNNxauu2DWo11537lm+Rfcg6AUAAACADeLCkqKZatDrDe9eca+s4nf+od6QHVD2sme17is/K5MdkDe4XV7/6JrPTObLeuPN98bXKSP96XMvVSZFqLeMvwkAAAAA2CDRzEOyixMy2QGZ7EDTvfL3Py+3OBFf5664YdUzjezSpLzB7UqN7mv5zBtvvldThUp8/drrztNVFK9qQtALAAAAABvAFhcUTT8stzixOstbWlKpKcs7qNxjf2LdviTJG9wuM7hjzWf+5Z5JffrQyfj6ovF+/caTWp/126sIegEAAADgLDnnFE3eKzt/XOrfJpPpa7pfuvUTcqWF+LrvmpfK5FpnZN3CCaWGd8kb3SvjrQ7bZgoV/eZNd8fXRtK7nnup+tKtjzTqVQS9AAAAAHCW7Pwx2fnjcqVFecO7mu8tTal0xz/F12Zwh7JXPq91X8V5OWflDe1c85gi55xe938DHV+sH3v0yh/cp+v2r73vt9cR9AIAAADAWXBhWdHUYUWzR2qZ2eZsa+mWj0lhKb7uu/anWx4/JNWyvCN75G3bv6ovSXrfLUf0z/dMxtfnjfbpDU+9YAPepDsR9AIAAADAWYgm75edPyaTyq2qshzNPqLyoZvia2/becpc8oyWfdnCnJwkb2iHvJHVWd7bjy/oLV++L75Oe0bv/bHLNZRd+9gjEPQCAAAAwBmz+RlFc0dkFybWXIpc/NaHJWfj677rXrZm9laqLlu2CyeUGt4tb9u5q/byLpZCveqf7lQ5cnHbm556oa7ZO7JBb9OdCHoBAAAA4Aw4axVN3ic7d1Te0E6ZdLbpfnjs+wrv/1p8ndpzudIHrmvdX3FOMl41yzu8p/mec/qNm+7WAzOFuO2ZB8f1C4/fv0Fv070IegEAAADgDNiZB2XnjstVSjJDzccKuaiiwr+9p6mt77qfkzFmzb6cc7LzJ5Qa2SVv23mrsrwfvf24PnVn/XiiPUNZveeGS+W16A91BL0AAAAA8CjZwqzCyQdk544qte1cGdMcWpVu/YTszMPxdebgU5Q+5/KW/bnCrJRKVys2rzjj91uPzOm3vlA/nsgz0l+/4HJtH8iu7AZrIOgFAAAAgEfBhRVFJwLZ2UdkBsZlsgNN96PZIyp95x/qDdlB9T3xVa37c7a6l3dk96os78NzRb38U99r2sf7G088X084b2zjXqjLEfQCAAAAwKNQOn63otmjko1kVpzJ65yrLmuOKnFb//WvkDcw3rI/tzgpk+lbleVdLIX6mU/cocl8va9nX7xdv/bEAxv4Nt2PoBcAAAAATlM4e1yV6YdkF05WKyyv2FNbCb6o6Ogd8XXqnCuUuexHW/bnwrLsYrXyc2rHwbi/yDr94mcP6dDEUvzs5TsH9ZfPv4x9vI8ShzkBAAAAwGlwlYJKU4Eqkw/KG90jk8413beFORW//r56g5dW/1N+adV+36bPzB+TN7RDqdG98ga2xe1v++r9+pd7p+LrHQMZ/f2LH8N5vGeATC8AAAAAnIKzVuGJQJXpR2TSuTWXKxe/9jdypYX4OvcDL1Fq23mt+ywtyFXy8kb2KLXjwrj9Q989qj//Zr0IVjZl9KGfuFLnjvZt0Nv0FoJeAAAAADiFaPI+2ZlHZPOzyoyfu+p++e4vqXLvV+Nrb2y/cte8pGV/zllFs0eVGt2n1PiBOGv86TtP6Ddvurvp2Xc+x9e1+0Y36E16D0EvAAAAAKwjmjuqaOqworkjyuy4QCbVvMQ4mj2iwr/9RUOLUf9TflkmlWnZp1uaksnk5A3vkje6T5L0xfum9NrP3SXX8NyvPuE8veTKPRv4Nr2HoBcAAAAAWrCFWUUn71Y0fVjeyDnycs3HE7moovwX3yGFxbgtd81Lld57Zcs+XVSRXZiQN3qOUjsPynievvHwrF7x6e8rtPWQ92U/sFe//eQLNv6legxBLwAAAACswVWKCo8dUjT9oEzfaFOhqWXFb35QdvK++Dq153LlHvdT6/Zr547IGxxXamSvvIFx3XF8QT/9iTtUDG38zAsv26U/+pGLV1WHxqNH0AsAAAAAKzgbKTx+p+zMQ5KMvJHVS4wrD/6Xyrd/pt6QHdTAM14v46Va9mvz03JRWd7YPqV2XKg7ji/oJ//hNi2UoviZZx4c158/71KlPALejUDQCwAAAAANnHOKTgTVwlXFeXnbzluVcbVLUyp8+Z1NbQNP+xV5w7ta9xuWZeeOKzV2ntI7DuqWkyW98GO3aroQxs9cv39Uf/fjVyiTIlTbKPxNAgAAAECNc07RxD2Kph9QNH9MqfHzV2VubaWk/L+8Va44H7dlL3+uMhc+cd1+7ezD8oZ3KrVtv745m9NP/sPtmm/I8D52z7A+8uLHaCDTOlOMR4+TjQEAAACgxk49oGjyfkUzR6oBb6b5bFznnKY+/0eKJurHCnnjB9T3hJ9ft1+3NCknKTW6V/+xtEMv+/TtKjTs4b1234g+9pNXaaSPEG2jkekFAAAAAEkuLCmcuE92+kF5Y/tlsgOrnpn7jw8pf9dX4muTG9bAs94Un7O7Zr+VouzihFLbztXNC7v0s5+6syngfdJ5Y/qHlxLwbhb+VgEAAABAkqvkFU09IG90r7y+4VX3y/d+VYWvfaje4KU08KNvUGp0b+s+nVU087C8kT36wNFx/d43H2o6h/fpF47rAy+8Qv0sad40BL0AAAAAoGpG1tt+vrz+sVX3whN3qfDldzW19T/5tUrvu2rdPu3cMdlUVjfeu13vu3uu6d5zLt6h9/7Y5cqlWYC7mQh6AQAAAPQsF5Xj342Xlje0Y9Uz0ewR5f/lRimqxG3Zq16o7GXPWrdvuzStfCGv1z1woW46Gjbd+9mrz9E7nnWx0h4B72Yj6AUAAADQk6K5o3LlpXpDKrvqGbtwUkufe6NcYTZu6z94nTLX/9y6fbtyXkenpvSau8/XbbPN9970tAv1y9edu+oYJGwOgl4AAAAAPSeaeVjhyUCuUmz5jF2a1tJn3yC3OBG3ZXYd1I4X/K7mC60DVhdV9LUHTuqXggs0Wa4/l00ZveeGS/XCy3dvzEvgtBD0AgAAAOgp0dRhhRP3KJp8QCaVkcLyqmdsYU5Ln3uj7PyxuM0b26/dL/1f8nKDUiG/Zt/WWr3vjhm99b79ilw94N3Wl9aHfuJKXX/u6v3C2FwEvQAAAAB6grNW0eS9iiYfkJ15UN7IbqlUWP1caVFLn/9d2ZmH4jYzvFuDz3ubUoPbWvZfCJ1e/428PnN8e1P7ZTsH9YEXXqELx1cfgYTNR9ALAAAAoOu5KFR0/E5FMw8rmj0ib2yfvL4RSYebnrOFuWrAO3lf3GYGtmvo+W9bs8jVsjtnnV779bLuWepvav/xy3bqnc/xNZQl9OoU/uYBAAAAdJWpcl43HrpZh5dmqg3OypWX5ColOVuRSeekE/dKku4sLcaf21aY09I//abs7CNxm+kb0eDz3ypv5Jw1v8s5pw/c5/S2261Kth5epYz05h8+qF+4dj8FqzqMoBcAAABAV7nx0M366MO3tn5gjT28B/LT+p3bPyVbrJ+la/pGNPi8tyq17bw1u5kqOf3af1n963FJqge2OwYyeu+PXa4nHWi9FBrtQ9ALAAAAoKvEGd7TdOnCCb339k9qe6W+v9cM7qgFvOeu+Zmbjjr9znesTq4o/vy0C7bpPTdcqt1DuUc9bmwOgl4AAAAAXcbFvw0boysy/WuewStJV07co9fc9nENhKW4zRvdq8HnvU3e8K5Vz08WrV7/9ZI+fp9tas940puedlCvuXa/PJYzbyltD3p9398j6S2SbpC0W9K0pC9KenMQBPe3ezwAAAAAuoerFOQa9ulekR3UJy54/OrnnFP5jn9S8ZaPSK4ewHrbL9Tg826U17/6aKHPPeL0plvzmiy6pvaDIyn9zYuu1lV7RjbwTbBR2hr01gLeb0k6V9LNkv6PJF/ST0l6ju/71wdBcE87xwQAAACgO9j5Ewon7pFrWKYsb3XI46KKCv/+V6rcdVNTe+qcKzT47N+TyQ02tR/NO735Vqt/Odrcj5HTKy4b0BufdY2G+jIb9h7YWO3O9L5F1YD314MgeOdyo+/7PyPp7yX9iaQXtHlMAAAAABLMRRVFE/cqmnlE0cxDknMtn7WFOeW/8HZFx77X1J655Bnqf+ovy6TqwWvZOv3t3U7vPuRUiJr7uWDQ6p1PHtcTrrpKxvM29H2wsdo9Oy+UNCHp3Y2NQRB8RNJ9kp7l+z7/YgAAAACcFpufUfjwdxQev0vR5P3Vs3TTfWs+Gx6/U4uf/JUVAa9R3/WvUP8P/2pTwPufJ52edbPVH36vOeA1cvrly5xufuEePeHqqwl4E6BtmV7f91OS3i6pEgSBXeORkqSspEztdwAAAABYk7OR7PRhhVMPVs/VtZFSOw9Wz+DV4eZnnVX51k+p+K0PNe3fVaZfA894vTLnXxc3HV50+sM7rD5/ZPV3XjFY1J89uU9PvOIizaX3cf5uQrQt6A2CIJL0p2vd833/UkmXSrovCAICXgAAAAAt2fy0ool7ZeeOy84flxkYlxnetWYQOlReUv7//r7Ch7/d1G6Gd2vw2W9Wavv5kqTZstOfHXL6wL1OlRWro0fSVr9+3qRedsWo9viXKLvnEpnJRSEZOn5kUW0585+rutT6vWfT186dwxsyps2UhDGijvlKHuYsWZivZGG+koX5Sh7m7NRcWFH55L0qzz+scOlhOS9U5sLL5WX7m55LH6kuOb5++kG95e4vKCzON90f8J+i7c95vby+IRVDp/fdVdE7vlvS9Brpt5eeV9ZbLpnSvv3nq2/vpcpsP08S85UkHQ16fd83kv5G0jMkfVsr9voCAAAAgHNO4dxxlU/ep3D2mMK540oP71JqZO3sbi4s6Xfv/qL+29Hbmm+kMhp/+v/U0DU/rtBJH7yrrHd8t6wjS6sLXz1up6c/uGRK128vK7vzYuX2X6H0yOpze7H1GbdOZbPN5Pt+WtLfSnq5pPslPTkIgqPrfugUJiYWOvMyp2H5f4ImJhY6PBKcDuYreZizZGG+koX5ShbmK3mYs/XZ4ryiyftk508omjsqYzx5Y/tre3dXC4/crsNffId2Fmab2r2RczTwI78t7TioTz/k9K47nR5cWv35/QPSb18W6oaBB+XlBpQaP1/pcy6X1z8qifnqpJ07h89oE3VHMr2+7w9I+rik50q6R9IzzzbgBQAAANA9XFhWNH1Y0cwjsvPH5UqL8kbPkdc/tvbzpSUVv/Vhlb//Oe1ccS9z6Y8odf2r9PFj/fqLW6weWGM77mhGeu2lRi/ft6DswhF5w3uUGtun9J7LZbIDG/+CaJu2B72+72+T9M+SrpP0XUnPDoLgZLvHAQAAAGDrcTaSnX1E0czDsgsnZBcn5Q2My9t1iYyXWv28c6rc+1UVv/53cvmZpnsnskP66GNeqAPbXqK/+leno4XVC0MH09LPX2T0qoul4eIJuaVZpbafr9T4AaV2XbzmdyJZ2hr0+r7fJ+lzqga8X5X0giAI5tf/FAAAAIBuNFXO68ZDN+vwUjVYdVFZrlKUoopcVJYxnpTKSqWiNLN6YejuxQn9zJ2f0+VT96+69//tvkx/eNHTla/sVnjr6mA350kvv8joF32j8VRFdvZhyXhK77pEqZ0XKzW2b+NfGB3R7kzv2yU9QdLXJT0nCIJCm78fAAAAwBZx46Gb9dGHb13/oUpxVdNwpahXP/RN/cwj31XWRU33juWG9baLn64v77io2lBu/uxASvrZg0avvthod7+Rzc8omjkmb2iHUmP7ldp9abx/F92hbUGv7/t7JL22dnlI0m/5vr/Wo38UBMHqf9kAAAAAuoZzTg/Mn3hUn0nbSC85ept+8fDXtS1sDhkqxtOH9/+g/ur8H1IhlanfKFePMxrNSD93kdErLzLaljNyUaho+ohcWFJq+wXVgHfXxTKNn0VXaGem93pJ2drvr1jnuXdLIugFAAAAupCzVnbxpOzMw3KlekWpEePp8r6RFh9y+oGTh/Ti4AvaszS16vZ3hg/o9897nu4d2N0cSZT7tXv2Qv38Y4x+5kKj4Uy1+K8tzsvOPiKvf0yp7ecrvfNieSO7N/I1sYW0LegNguAzks6oxDQAAACAjbdyT+3mcnJhWQpLcrYihRV9P6qvPb68b0SfOHBN8yecU/jwLSp9+yOKJu5Z1eMxb4feNfA/9PnsU6UTzaHGVdukV19sdMN1Rhmves9FFdm5o3KVglLj58kb3av0Ll8m07cJ74utoiNHFgEAAADovNPaU9sBzjlFR25V8b8+oujEXavuL5p+/W3/i/X3/S9QydTP600Z6dl7pZ+7yNN1OyRjTNyfW5qSXTwpb2C8Wp15+/nyRvfFz6B7EfQCAAAAPao9Gd7TcyDbL+eswgf/S6XvflzRiUOrngnl6RN9z9JfDPx3TXv183p390k/faHRT11gtKe/OYh15Xw1u2uMUtsvVGpsr1I7DpLd7SEEvQAAAAA0ks7pypE9Z9mLk4sqUliu/rQVuSisnnWbykhm7TNvL0hn9YbZh7X47++RnX5w1f1Inj6be5r+euClejh1jqTqvsmn7Jb++wWenrVX8RLmeCRRRXb+uFxpUd7IbqVH9ii146C8oR1n+Y5IGoJeAAAAALpyZI8+84SXn9FnbXFBduG47PxJucKs7NKkXKUob2BcZnB7y4rIrrSg8qEvqPS9z8otTsiu7FdG/5x7sv6y/7/pcHq/JOn/b+/OwyQ5CzvPfyMisyqz7qruVh+S+kDHi5AshM0pg7A5bCOw8QxefAxmebwYj83YgLHHA97BHObw7JplbPB68cFhsMGLzdqDFxtkg21AwohDEkh6BZK6JdRSq7vrrsrKI+KdP943K6OyqrqrWl2VWdm/z6N8IuKNNyLf6ld1/PJ9I+JAGX7ycMRPHo64ZHD11GSXpWEq8yniwXGSvY8nGb+EePwgUaL4cyFSr4uIiIiIyKa5tEE2f9KH3YVJ3MIk2eIUUaGPaGCCeGKUKIrXPDadeoDK7X9L7Z5/Ikmrq/bXSfj/+2/gT8ov4d7CQYYK8NKLI378YMT3XwTJGtfhOpfhFqfI5h4l6hskuehyktEDJLsOExXL5/3rl51DoVdERERERDbEOYdbnCSbe5Rs/pQf1V2cwtUrROUxkl1H1r1W1qV1Zu+9hanbPs346dsAaJ/sXKGPT5R+mA+VX8zp4kU8Zx/8+sGY5+6HcrL2Daecc7hKCLuFfpKJQ8TDe0h2P464PLbmMXJhUegVEREREZF1OedwS7Nk8yf9tOHFKbLKFK4yQ1QoEw2ME08cWndU98SJ4zz49b9n34M3MZzOML5GnVPRGB8rv4CPl27k8XtH+dWDES+4OGKsb/07K/uwO+3DblIgGb+UeGg3ycRhP6Vad2WWQKFXRERERERWyZbmcAun/BTmxRkfMCvTQEQ8ME6858o1r9WtZY6vPrzII3d9gX3f/UeesPQtrljnPb5ZuJyPln6U0weeyXMv6ePvL4k4MHDmsOpc5qdSL5wiSookYweIh/aQTBwiGtqjsCurKPSKiIiIiPSQ07VF3nbXZzf0OKJvzj6yYjtbmsXNnyJbOOXXF6fJKjOQpX768vhBor6BVec5Ou/4l4frPHzvbRx65HP8wNLNPIHamu9ZpchN/d/Pty9+Aebyq3jrgZjdpbMHVZc2/NTqhVNEfQPLI7vx2CXEw3sVdmVdCr0iIiIiIj3kbXd9lj8bNTDmAAAgAElEQVR/8BubPs4tzVK//8u4pRmypRlIG0SlUZLRi6FvYEWonKo6bjkFX3qkzvSx27hu5os8r3YLY25u3fMfTS7hzv0/wsQTnsuLDw4zWNhYSHX1JX836MoMUXmEZNfjiId3k4xdqmnMsiEKvSIiIiIiXW4zo7dfWuM5txtxaaNKevp+ovIoycjKoOtDruPmk45/e7TO6Knb+aHqF3nlWYLuYlTmvj3PpGSey/c8/mqemKx93W+75nXEbuE0rlElHpwgvuhKkuGLiMcOEA9MnNPXKBcmhV4RERERkS53rqO3ANdPHMJlKWR1SBu4rAFZClnq16OYw31l3rjnMgrlUQBOVx3/dhxuPplx80nHvdM1nlq/g+dXv8T/dpagmxFxetd1DF/1XPaZZ7B/nbs5r8U1an4K8+IkFPpJBieIBnYRj+wlGT2w5tRqkbNR6BURERER6XIbGeFdy0/tPsLv7r2CbGkeV53FLc35xwv1DRL1DxOVRsiSIvfMwqcfdnz1dMatpx33z8O+9CTPqn2VV9dv5Wm12xhg9fN0mxwRS3uuZvTKZ9F/2fWMb2Ik1rnMj+qGRx/F5TE/hXlwnHhkv79eN1FskXOn/3tERERERHaQkUI/14zsW1noXBjB9S+XpRyKE34jjqg/dAdEkQ+5Q3uYjwa5bTrm1hOOr552fO10xlwDEpfyxMbdvLh2KzfUbsWkZ54m7YiI9l1N6fJnUXzc9YxtKug6qC36Rx8tzRIVy8QDY0TlI8TDFxGP7CMOo84ij5VCr4iIiIjIDnLNyD4++dSfxlVmyZamcZUZsqV5qC3gqvNk1XlI60T9Q1SSIb4a7eeO2SLfmITbpxz3zQNk4ByXZo/wQ/U7eHrtNr6//jVG3cJZ3j0i2X8NxcueSfFx12/62lpXWySrzOCWZiCKw6OPrvCjusN7iYf2rPkYJJHHQqFXRERERKSLOefAZa3t6hy1+74EtUUfcmvz0KhTSQa5pzrCHYsT3DZb5PYp+PYs+CMdAHvTU/xo/Q6eVr+dp9Vv50B28uwN6BugeMn3Ujj4ZAoHn0w8ML659tcrPphXpgGIy2PEE4eIy6N+VHd4r67VlS2l0CsiIiIi0iGna4v8ly98mnvnTlGvpaHUhRtPpWG6csq3lmaXj8mq8xw79h3uro1xd2WYuxZ2c+dcwtH5ZrRt2Z1N8n31O33Ird3O4ez4htoVjx+kcPApFA8+mWTfEzZ1Ta2furzgn/Mb2h2XRkjGD/opzIO7/IhuaUSPG5JtodArIiIiItIhb73zs/zFdzd3V+ZbZ8s8874rVpUnLuWK9BhPqt/FdY27ua5+F5dkj27spIUShQPXhKD7FOKRvZtqk8tSXHXO35BqaR4KBeLSKPHEYeLyCNHgBPHgbqLymIKubDuFXhERERGRbeCyDOqLZNV5XHjdP3l00+dJq2UARrJ5vqdxD9fV7+ZJjbu4tnEPg66ysZMkRZJ9T6Bw4FoKF19LsufKzY/mNpb83aCr4Y7Q/UNE/cP+JlSlEeLBXUSDuzSiKx2n0CsiIiIicp75kc95XG0BV13A1eZx1QVOz1X49kyN70ynfHvOcVe5Af3hoDSBpaE1zzeQVnnCwnGunj3JNZO3cHX9Pg5lD2+8QXFCcpGhcPG1FA5cS7L3KqJC3+a+prTuA2513o/mJglR/5Cfqtw/HKYuTxAPTOgaXekqCr0iIiIiIudoecSzurAccCuVeY5OLXJ0psbR2ZR75xzfmY/5zkKByUYRyN2d+EjSCr1LQ3D/dQxmi5j0KFc17uXqxne4pvFtjqQPEa+6YvcM+gYo7H08yd6rKOy7imTv44mK5c19bWm9Fdqrc+Ay/3zfUhjN7R8iGpggLo8RDYzrWbrStfR/poiIiIjIWfhwW/UhsLbIQmWBo6fnuX+qwtGZOkfnUu6fdxxdiHm4muCIgDOPpEYu4+KlSczifZj5k5iZaczs+7g0O7Hp9sUj+0n2XeWnLO+9inj8UqI42dzX2Kj5EelwV2hc6kNu3xDx4IQf1S2PEpXHiAfGNZorO4ZCr4iIiIhI4K+7rZDWFjkxPcexqQUenFnkwZkaD8w1ODqfcXQ+4pFqnDsqDq/1TurY5aa5rPEgl6cPcFn6AKZxlCvSYwyd3uA1uDlRaYRkzxXhdTnJ3sdv/jFCLoP60nKId7UFIPIht3/AX4/bN+hvQlUeIyqPEvUP69pc2ZEUekVERETkguKcI2tUeXR6lgcm53lwep4Hppd4cLbGg3MNHlxwPFSBWtYe8CLgDKOnzrEnm+Rx6XdDuH2QyxoPcEX6IKNu7twa2zdIsudyCssh9wqi4Ys2FT6XR6nrFVxtEeoVXGMJCv1EfQPE5REY3U/cN+hvOlUe8UuFXOkRCr0iIiIi0lOcc0xV6hyfmuOh6XmOzyxyfLbCw3M1js/XOb6Q8tCio7oq1DadOeiNZPMcSh/iUHqcw+lxDqXHeVzml+WN3j15DadLo+zda0h2PY5k1xHiXUeIR/cTRWcYRW6zHHAbS7haBeqLuPoSxDFRcZCor0w0MAbFsr8mtzRCXBohKg1rurL0LIVeEREREdkxnHNMLTV4aHbJh9npBY7PVDg+t9QKtYsZS+nZznTmYFt2SxxMH+ZQepxD6UMczr7LkeR+DlZPMt5YfExfQzUp8vDgHh4c2cdXyuPcNriLewb38ISRfXzi0Pdu+DwuS8MI7hKuXvE31KpXIE6IigM+4Jb2QHGAuG/Aj9yWhpcfLaQbT8mFQv+ni4iIiEjHNcPsifkqjy7UODFf48RshRNzFR6dr3JivsqJhQbHFxobCLRnV3R19mcnuTg9wSXZCS5OT3DEPcohd4J96QmGGzOP+T0W4yL3DU7wnYHd3Ds4wXcGd3PvwC6Ol0Zw5zI9uVH11+E2lvzobVqHYh9RsUxUKBMNjEKhTNxXDsF2qBVwN/l4IpFeotArIiIiIlumnmacWqz70Dpf48RCjUfna5yYW+LE/FIIuXVOLjaoZefhDZM67LuPYmGOfbVZ9tVmOFCb5uLqFAdr01xSneJAdYo9tbnNPQLoDB7uH+JYeYKjA+M8UB7jvgEfcB/pH95UuD3UV/Kjto1qawS3UYW0CnGBqFgiKpSIy6MwvNdv9w2ExwgNhTstDyrgirRR6BURERGRDcucY3qpwamFGqcW65xerHFysb68fWqhxunFmt+u1Jk6H8OybRKXsiebZF92in3ZKQ6kJzkSn+JSd4pRvsvEnZPsrj+2KcjtThfLHCuPc2xgnKPlcfrHLuHEwC4eHZyglqwOmYfCa20OXBZejiSGw0nC67MG6dQxokI/UaGfuDwMyW4olvzobXHAh9z+IX/9bXGAKN749b4iFyqFXhEREZEL2FIjZarSYLJSZyq8JsP2qYUapyt1TuYC7WSlTnp+BkhXc44xN8eebJI92RR7skn2u0kOxlPsd5NclE2yq3GKwdokMedjWLglJeKR/mEeKo/y3dIIx0ujPFAe80G3PMZcsbRc9ydH9/Pm/Ved4ctwfupxWsM1apBW/TNwwzpRAoW+EG77GJ0YJyr2M7uQtUZvi2XoG2iN5G7ymbsi0qLQKyIiItIDnHPMVhvMnlrg9GKN+47PMFmphzDbCrXN7aklv16pn9/wuJbIZUy4meUguyeb5FKmuDSeYp+bZHc6xWhjksH6FIlrbFk7ZvqGODUwzsnyGKcGxjlV9q+TA+NMlUZJ1wiWQ8DVue1DfWV+c89luLThQ+2KcNtc1iFuBts+oqTPT0lO+qDQT1wsQS7cDuzbQ9w/QGW6oZFbkS2g0CsiIiLSJZxzLNRSppcazFQbzCw1X3Vmqg2mlxrMLoVl1QfXqUpjeYR2y0Zg11ByVSayaXZlM0y4GSayaS6OptkfzXIRM+zKZhjLZhhqTFOuTxO7LQ7XhX7ioT3ckfRjiyUe6R9mYHgvv3To+4iH9hAPXcRoscTBDZzKOQdZAxo1XFb3y7QOaR2X1uDkPaRRBEmRKPGhNir2E5WGQ7DtawXbQsmP3hbLfrs4sOquyYWRYQCi+Byf5SsiZ6TQKyIiInKeOOdYqKfMV1Nmqw3man6ZD6+rA21zu87MUmNbg2uu4Qy7BcbcHGPZHKNujrFslv3MsD+eYR8z7HIzjGczDDemGajPUMiq29e+Ypl4YJxoYBfx0G7ioT1EYRkP7iYa2uOvc40i3n3sa9xSmQbg6eUxXnPpykcALU89zhq5IFsPZXU/UutSPwU5KRI1X8uhtghJGMEt9IdAW4JmuC2EsKvpyCJdQ6FXRERELnjOOSqNjLlqg/kQVOeqKXPVhn/ly2qhbHk9XbGddSK05pRcldFsLgTY2RBg59gbz3IRc+xmjnHmGc3mGErnGEjn6GvMb/1I7Fr6BokHJ4gGJkKonSAemCAaDMtmed/AWU/lnPPh1eVunJXWSKcfagXbrA5ZCnFhZaBNikR95RBo/Ssu9IfpySWiQj+EgEsSHhGkZ9yK7Bj6bhUREZEdxzlHNc1YqKX+VU+Zb66vtR3KFmop87U1AmstpdHptNrkHCVqDGfzjLgFhsNrJPPL3dEcu1hgIlpgzM0z5uYYzuYZTOcoNeYoZLXOtj/pIyqPEZfHiMqjROXRXKANo7WDfnuKiLeevJdjtcrq89TrMHMCZh4B5/B3PHa5dX/nY9csByDizqy+4jRRseRHaPNBt+CnIEdJf+6GUq11kn5dWyvSQxR6RUREZEtlzlGpZ1QaKYu1lMV6thxAmyF05Xa6YntlYG1td01IbRO7lEFXYchVGHSLDLnFFaF11M2zO5pnggXGmGfULTLkFhjMFiilC/Sni1t6M6dNixOiUgivzSBbGg3B1i/z+6aIefup+9YOsgC1ClQXYfK73LK0tdewRqVhioef5kNumJJM0ke0iWfnisjOp9ArIiJyAXPOUUsdi/WUSj2l0sh8MG1ky2XFB2dYqKU8Ornoyxo+uPr9GZV6ury+GM6RL6s0OjBtdpMil1F2SyGoVhhyiwy6xdy6D7CjLDLOIiPh1axfziqUsgr9WYXidl7rulmFfn/ta2mEqH+YqDRMnFv3y9x2eYyof5AoWj3q6bLUj7ZmDX99bJbhaou8/fQxPr443YEvbrUjo/tJRvd3uhki0mEKvSIiIl0mzRyVRspSI2OpnlFNMyr1jKVQVm34ILnU8GXL2/Ustz8cHwJoPpAu1HxwbZZ16YDpuhKXUnZLDLglyoRl2G6+ym3L4ajCMBWGWGIwhNuBXFjty5aI2EH/EEmfD6N9g62AWhohKg0zMDpBXB5hKSutDLKlYT91N5hs1Hj7ye/4EdkV04eByhxUZmHqu3477Fs5lRggCv9FEPnXLeuN8G7AM0YPQBSFkdjYn/McHR4c579e9fxzPl5EeodCr4iIyBqa14zWGmGZ+jDp191yuFwROpvBM81YqrdCZ2t/W2itr3F8I+vaabsb5hx91Cm7KiVXpZ/a8nrJVSm7KmVWB9OyqzLgKgyzxBAVBkNALYdXv6vSny1R6Kapv+cq6cP1DXIqKTJb6GexUGKxWFpeVgolFovlFWWLhRKVYpnFQj+NpBhOlA+hfr1QiHHOkboUqhVYWvTXxcKK4PrltL5Wy867Z4xd7EeKowhYO8Q2A+quDdywSkRksxR6RUSka2wkaNYavnwpLKupo7q8nrXWGyvLW8c4ag0fTFeey604b60jz43ZQs5RIKXP1ShRWw6f/fl1F8IpufWwXVoOrTVKVBl0VcpUGQj7+p0/T5+rUXQ14p00aroZccHfSbhYJuob8M9c7SuvLis2y8L+/iGi/iG/He78+2uPWD4+9+jm3j9rQO0sob+LZlf/zKXX8Z4nvrjTzRCRC5xCr4jIBSJzPtTVQ7hrhrzmdj1r20598KyHuvUsLNOVy+VjspXHrjpH1jomAx9i640VAbfngma7MALa72r0U/cjl65OHzX6nS/vox5CZK6cmg+rYX+/q+X213Lnq4UQ67d9/Rp9rk5fLwfRs2k+P7VY8sG00E9UHIC+tuBaHIC+XGDNP3e1+TzWOMG5LFzLGpYuA5fiVmz7ly9LIctwi9PAFC6OgZijle647rXp+olD5/V8ml4sIt1CoVdEZIMy56iH8NfI/HojBMXmdvu+epbRSB315TIfLhshJC7vyxyNEDwba9Sth3PV05X7VoXMrBloVwfQXs+TqzhHkYYPfNTpc/UV28W27VZ5o7VsKzvzsY2V5c19NMIIqN+WdUQxFEtEhTJRsT+E02ZQLa1ap1giSvp93aSv9biZpB8KRf/ImSQ8ogbCtaohmOKYbNR55/wpHmj4x/u45gcCzanCtap/MZO7rjTy58pth4KwmZu+u1zeVidc+xoBd2WtG3yNJEWuHhhb3r/qnGG5fNfhM0wVLvYlANRr6Zr722lqsYj0OoVeETlvmqGwkTnSzNFwrfV6mtFwoTzLlWeryxrrlYfzL5fnztdXKtJIHTPzS6uC6KrweYaA2QyureNadXf6ZZbnQ+QyCqQUaVB0DQphWaRBwaUUqfv9q/Y1wjHhWOqhfmtf83h/bNp2XGM5TK4Osu2htFVPzo+o0EdUKOGaj3xZfqZpf+uZps2gWSi2Qmh4JipJX269VRaF87mkD6LY30jKOSCMooZnsbrcevPZrACEEVN/A6U43AAp9us4yFJ/LkJZnBDFRYhj3jX3IH+5xY/L2YxrRg/w/13/ivNyrj17hgE4ebJ7vj4RkU5S6BV5DJzzQaiROVLnyHJBLHX+DqzNsJaFOj7A+YDYPK5ZLw3nynJhLnOt8jRs54+rp27dMJkPkWcPk9nyen5/o73uGcqUCdcQrqNMSCm4lAIpBRokLqOAD3cFF/aTUnBrlYVjyFr7SUnC+Yo0ltcTUorNY5frNlpBMhciC+TXU4quvqJOYa19bGzkSLZKFEYzfcCkkA+QzUCZC5ixL/PbYdQzLqwKniSF5bq+XiGEQx8QR4bLODLmZiut0NkMp80A2gyey3fxbYXRaHlfDHFzpDNuC6rNus1yIErC+eIQcFvrzXpRnIRjE18niomiBOKkrW6+LOGBmU1eS7vFDg+Od7oJIiI9S6FXts0jc1W+9vBsK4TlQmEzDPqwlwuRuZHCfLhsZCtDZBbOtfo4ls+/kXDZbBdR5Ef+GlnuOFrrufeVDQjBLyZbDmut9YyEjCQENr+9cr1ARkxG4tLluoVwjmYwjF1GIWzHYTTSn6d5XHPd12mOLCa5AFnMBcsV4XFFgEzbAmY4JgTP4oqA26BA9z+fVDYoXhkaW8EwhMRmcIwLoU4hrCchXIbj4nzd5nmSsN4ciUx8nSiUxwkkPgD6ibG54BmFIEluGmzuTrnRiu1c3SicK1o5UupHXPPngcLoEEQRSbLUFm5DqCSCOGEqbfD2E/f4R+AA603tXRatVb76mGjdqcLn7lsLp5fXRwr9XDOy7zGf81zp2lcRka2l0Cvb4isPzfBjH/n6zr6m0LkQsjIiHP1kxCGwxbmw1dyOCfVdbv+K7XydNFe2sk6EW3XupO2947Dtw2EIiS4XCMmWA55fb7WnGeKWg+dy6MzWCIzpGvvWCqEZscuFVQU/2ag48SGyGRbjQpiSWmjty4VNHygLuWPy9RKiyC+JCkRJ4kNkUiCKYly+LC74ENg8PkrC+4fQWfDHrAhdzdFImqOVK6+9bIVI/Kgm5MqazyClNRK64pzNYJk/pm0UFXKjoitHS1vL/MhpTHvAjdYszx0T+/KB3aMQx1ROL7Sdqzna6tvzztv+ho9NP7RN/7OcP9eM7DtvU4tFRKT7KPTKtvin+ya5rvZNrqvb5dDUDG3ROmGvtZ22wuGqoNkKdz4crrE/FypXB9H8edK2ILq6jsiOkJ/KGccrg9zy6GEzUIb9UZwLmMlynSg3HTQ/PXQ5EEZJLvg0p5eG941aodUH1cLyew6ODBFFBRYqaS60JsQrRiVheXQvbo3ytQJkfmSzPXDmQuhyHVrBkdx6+yhp7pz5kdBWqGwPtbn9q8rjcLqV+043arz92K0cXXFNabTctNZKfpSzWRS11dl6G70x0pcmj21Hc847TS0WEeltCr2yLX4i+To/N/PGTjdDxFsR4prhbOU1f8thL7cvWh75ytWPolzdtsC3fJ1hlDu+sHzdoR+ZjCEKoTNpH2FstsePaEZxK5gSgmorSDZHNH3bozXv/JrbXjFi2Qx37XXJbbcFxajtXM19uffJnzNavh7T7x8aHyKKYurTi60gmZ9Wmw+PbVNtfRCMV9dr224FzZXB+HS9ym/f+wWOVWaa/0Pk/t/YnkC5U8PhZp3vR+BsBU0tFhHpfQq9si32zVsWO92IC1F+CuLyzV7Wmu7YvC4vbgWy5ZCR5Ea52kewcjeRaQt+K6dHxq0wmQuBK0Ni3BqZzN9wJjdqGUUJJCvDJbGfdjo0PABRzMJiYzksts7ZHJEsQJwPTISQ5ddWBz5yZdHq7eXglzseYFV4bAuVzbL1Auk6I5irg+l6dcNX1j499kyjoiuC5Rnaw1ojnhGnaxXeds/nObY4lf/HW1fx1OYeqXI+XSiBs9N+5tLreM8TX9zpZoiIiGx/6DXGFIBfBn4eOAI8DHwAeJe1Vg8w7FGlp72C6m2fJD1xd9uetj+088GK3B0/11muuIaNtuNXhLvV+1Ye3wxuPvgV+4tEUUytkZ0h+OVCWdxsa3MqqG//8nssB8mkVS8XQlfccbQ9LIbgFkX5Ecn2MBgt12sFvNzoWvu/9/J6c7VtxG65rP0YWgEpf1wzQLaHuBXnXl1/Vehaq86aI5Dt4S5iZGIIiGhMLax9fHuAy38tqwJhW9tXhb62r+lMQXTVv8/WOF1b5G13fZajC1Nb9h5noiD52HT7iOi5PvdVRESkG3RipPd9wKuALwB/C3w/8FbgicBPdKA9sg2S0f2M/8rnqN1/Cy5rtEJnuPnJylDEivVo1b5cYFmjrP341fvaw1PbOYkYHx+EKGKqGaCW657tXFHudO1BZ60g19a+s9SN1jvH2UJm2/q6I4zrrbe951aGt3PVF55LmcTn57mUnQ6Rm6XQee46GTib4XBX30DH2rAReu6riIjsZNsaeo0x1+MD7yeAl1prnTEmAj4IvNwY8yJr7ae2s02yfaL+QfqueDa4lDXDY/v2NoyOracU/sArlPUHXqdsNnRudiTqbBQiH5uzBcnz3V/nYqcEThEREXlstnuk99Vh+RZrrQMIwfcNwM8CrwQUentYlBTQpeRnt9NGGbeCQudj06nRy40GSY0cioiIyHbZ7vRxA3DKWvvNfKG19rgx5h7g2dvcHulC3RD4Oj0KpcDXfbr9mssmjV6KiIiIrLRtodcY0w9cAnx5nSpHfTWzx1p7crvatR1O1xZ505c+w10zJzo6lW+nUOCTtXRquqxCpIiIiMjOtp0jvRNhOb3O/uYDE0eBcwq9zely3eZNX/oMf2hv7nQzZAd79r7HdboJHXPZ8G5+58kvZHdpsNNNkS3QrT+3ZW3qr51F/bXzqM92FvXXzrGdobcYltV19jfLS9vQFtlBFPgU+EREREREztV2ht5KWPats78/LBfO9Q269YYorzn0TKII7pzW9ObN6OS00m66yY6byzg51/l2dLtu6jM5O/XXzqL+2lnUXzuP+mxnUX91zrmOrm9n6J0BMvz05bWM5ur1lF19A/zBM14C6JtDRERERERkO8Xb9UbW2hpwDDiyTpUjwElr7eR2tUlERERERER627aF3uALwD5jzJX5QmPMAeBK4JZtbo+IiIiIiIj0sO0OvR8Oy3cYY2IAY0wEvDOUv3+b2yMiIiIiIiI9bFtDr7X2JuDjwEuAm40x7wL+GXg58Ang77azPSIiIiIiItLbtnukF+BngTcBu4HXAvvC9susta4D7REREREREZEetZ13bwbAWlsH3hZeIiIiIiIiIlumEyO9IiIiIiIiIttCoVdERERERER6lkKviIiIiIiI9CyFXhEREREREelZCr0iIiIiIiLSsxR6RUREREREpGcp9IqIiIiIiEjPUugVERERERGRnqXQKyIiIiIiIj1LoVdERERERER6lkKviIiIiIiI9CyFXhEREREREelZCr0iIiIiIiLSsxR6RUREREREpGcp9IqIiIiIiEjPUugVERERERGRnhU55zrdBhEREREREZEtoZFeERERERER6VkKvSIiIiIiItKzFHpFRERERESkZyn0ioiIiIiISM9S6BUREREREZGepdArIiIiIiIiPUuhV0RERERERHqWQq+IiIiIiIj0LIVeERERERER6VkKvSIiIiIiItKzFHpFRERERESkZyn0ioiIiIiISM9S6BUREREREZGeVeh0Ay4ExpgC8MvAzwNHgIeBDwDvstbWO9k2AWPMAeAu4Leste9ZY//LgdcBVwJTwF8Cb7LWzm9rQy9wxph9wJuBFwJ7gUngJnxf3NdWV33WBYwxu4DfwvfZAeB+4IPAu621jba66rMuYoz5P4HXAz9orf182z71VRcwxrwN+N/X2f1xa+1P5eqqz7qAMeY/AK8BrgFmgC8Cb7TW3tNWT/3VQcYYt4FqK342qs+6n0Z6t8f7gHcDp4H/DjwEvBX4i042SsAYMwT8NTCyzv43AB/Cf6/8PnAb/ofaZ4wxfdvVzgtdCLz/BvwC/gOK/x62fwb4ijHmilxd9VkXMMYMA1/Af+D3LeC9+D/yfgf4pDEmytVVn3URY8xTgdeus0991T2eCFSBt6zx+kSzkvqsOxhjfhv4CDAG/AHweeDHgVuMMYdz9dRfnbfW99RbgP877H8UuLtZWX22M2ikd4sZY64HXoX/BfRSa60Lf+x9EHi5MeZF1tpPdbKNFypjzCF84P3eM+x/K3Az8OzmqLwx5q3Af8X363u3p7UXvDcDlwKvt9a+u1lojHkZ8GfA7wI/pj7rKm8AHg+8xlr7e81CY8yfAz8N3Aj8nRAicsUAAAydSURBVPqsu4Q/0P4USNbYp77qLtcCd1pr37xeBfVZdwgfJL0R+GfgBdbaSij/K+D/Bd4E/Jz6qzus9z1ljPkbwAEvs9Y+EsrUZzuERnq33qvD8i3WWgc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" ] }, "metadata": { "image/png": { "height": 316, "width": 478 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "two_f = TwoParamInverseTimeHazardFitter()\n", "two_f.fit(T, E)\n", "two_f.print_summary()\n", "\n", "ax = itf.plot(ci_show=False, figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "two_f.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the output, we see that the value of 76.55 is the suggested asymptote, that is:\n", "\n", "$$H_2(t) = \\frac{16.50} {76.55 - t}$$\n", "\n", "The curve also appears to track against the Nelson-Aalen model better too. Let's try one additional parameter, $\\gamma$, some sort of measure of decay. \n", "\n", "$$H_3(t; \\alpha, \\beta, \\gamma) = \\frac{\\alpha}{(\\beta-t)^\\gamma} $$\n" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametricUnivariateFitter\n", "\n", "class ThreeParamInverseTimeHazardFitter(ParametricUnivariateFitter):\n", " \n", " _fitted_parameter_names = ['alpha_', 'beta_', 'gamma_']\n", " _bounds = [(0, None), (75.0001, None), (0, None)]\n", " \n", " # this is the only function we need to define. It always takes two arguments:\n", " # params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n", " # times: a numpy vector of times that will be passed in by the optimizer\n", " def _cumulative_hazard(self, params, times):\n", " a, b, c = params\n", " return a / (b - times) ** c" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.ThreeParamInverseTimeHazardFitter
number of observations163
number of events observed156
log-likelihood-658.24
hypothesisalpha_ != 1, beta_ != 76.0001, gamma_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
alpha_195.0377.0044.11345.952.520.016.41
beta_80.401.0578.3382.464.18<0.00515.04
gamma_1.760.111.551.986.89<0.00537.37
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 316, "width": 478 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "three_f = ThreeParamInverseTimeHazardFitter()\n", "three_f.fit(T, E)\n", "three_f.print_summary()\n", "\n", "ax = itf.plot(ci_show=False, figsize=(8,5))\n", "ax = naf.plot(ax=ax, ci_show=False)\n", "ax = two_f.plot(ax=ax, ci_show=False)\n", "ax = three_f.plot(ax=ax)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our new asymptote is at $t\\approx 100, \\text{c.i.}=(87, 112)$. The model appears to fit the early times better than the previous models as well, however our $\\alpha$ parameter has more uncertainty now. Continuing to add parameters isn't advisable, as we will overfit to the data. \n", "\n", "Why fit parametric models anyways? Taking a step back, we are fitting parametric models and comparing them to the non-parametric Nelson-Aalen. Why not just always use the Nelson-Aalen model? \n", "\n", "1) Sometimes we have scientific motivations to use a parametric model. That is, using domain knowledge, we may know the system has a parametric model and we wish to fit to that model. \n", "\n", "2) In a parametric model, we are borrowing information from _all_ observations to determine the best parameters. To make this more clear, imagine taking a single observation and changing it's value wildly. The fitted parameters would change as well. On the other hand, imagine doing the same for a non-parametric model. In this case, only the local survival function or hazard function would change. Because parametric models can borrow information from all observations, and there are much _fewer_ unknowns than a non-parametric model, parametric models are said to be more _statistically efficient._ \n", "\n", "3) Extrapolation: non-parametric models are not easily extended to values outside the observed data. On the other hand, parametric models have no problem with this. However, extrapolation outside observed values is a very dangerous activity. " ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.ThreeParamInverseTimeHazardFitter
number of observations163
number of events observed156
log-likelihood-658.24
hypothesisalpha_ != 1, beta_ != 76.0001, gamma_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
alpha_195.0377.0044.11345.952.520.016.41
beta_80.401.0578.3382.464.18<0.00515.04
gamma_1.760.111.551.986.89<0.00537.37
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\n", 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" ] }, "metadata": { "image/png": { "height": 465, "width": 434 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, figsize=(7, 8), sharex=True)\n", "\n", "new_timeline = np.arange(0, 80)\n", "\n", "three_f = ThreeParamInverseTimeHazardFitter().fit(T, E, timeline=new_timeline)\n", "\n", "three_f.plot_hazard(label='hazard', ax=axs[0]).legend()\n", "three_f.plot_cumulative_hazard(label='cumulative hazard', ax=axs[1]).legend()\n", "three_f.plot_survival_function(label='survival function', ax=axs[2]).legend()\n", "\n", "fig.subplots_adjust(hspace=0)\n", "# Hide x labels and tick labels for all but bottom plot.\n", "for ax in axs:\n", " ax.label_outer()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3-parameter Weibull distribution\n", "\n", "We can easily extend the built-in Weibull model (`lifelines.WeibullFitter`) to include a new _location_ parameter:\n", "\n", "$$ H(t) = \\left(\\frac{t - \\theta}{\\lambda}\\right)^\\rho $$\n", "\n", "(When $\\theta = 0$, this is just the 2-parameter case again). In *lifelines* custom models, this looks like:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "import autograd.numpy as np\n", "from autograd.scipy.stats import norm\n", "\n", "# I'm shifting this to exaggerate the effect \n", "T_ = T + 10\n", "\n", "class ThreeParameterWeibullFitter(ParametricUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"lambda_\", \"rho_\", \"theta_\"]\n", " _bounds = [(0, None), (0, None), (0, T.min()-0.001)]\n", "\n", " def _cumulative_hazard(self, params, times):\n", " lambda_, rho_, theta_ = params\n", " return ((times - theta_) / lambda_) ** rho_\n" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.ThreeParameterWeibullFitter
number of observations163
number of events observed156
log-likelihood-665.49
hypothesislambda_ != 1, rho_ != 1, theta_ != 2.9995
\n", "
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
lambda_66.216.2453.9878.4410.45<0.00582.51
rho_4.420.623.205.645.48<0.00524.53
theta_0.005.92-11.5911.59-0.510.610.71
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tpw = ThreeParameterWeibullFitter()\n", "tpw.fit(T_, E)\n", "tpw.print_summary()\n", "ax = tpw.plot_cumulative_hazard(figsize=(8,5))\n", "ax = NelsonAalenFitter().fit(T_, E).plot(ax=ax, ci_show=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inverse Gaussian distribution\n", "\n", "The inverse Gaussian distribution is another popular model for survival analysis. Unlike other model, it's hazard does not asympotically converge to 0, allowing for a long tail of survival. Let's model this, using the same parameterization from [Wikipedia](https://en.wikipedia.org/wiki/Inverse_Gaussian_distribution)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "from autograd.scipy.stats import norm\n", "\n", "\n", "class InverseGaussianFitter(ParametricUnivariateFitter):\n", " _fitted_parameter_names = ['lambda_', 'mu_']\n", " \n", " def _cumulative_density(self, params, times):\n", " mu_, lambda_ = params\n", " v = norm.cdf(np.sqrt(lambda_ / times) * (times / mu_ - 1), loc=0, scale=1) + \\\n", " np.exp(2 * lambda_ / mu_) * norm.cdf(-np.sqrt(lambda_ / times) * (times / mu_ + 1), loc=0, scale=1)\n", " return v\n", "\n", " def _cumulative_hazard(self, params, times):\n", " return -np.log(1-np.clip(self._cumulative_density(params, times), 1e-15, 1-1e-15))" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.InverseGaussianFitter
number of observations163
number of events observed156
log-likelihood-724.74
hypothesislambda_ != 1, mu_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
lambda_50.882.3146.3555.4121.58<0.005340.70
mu_157.4817.76122.67192.288.81<0.00559.49
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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "igf = InverseGaussianFitter()\n", "igf.fit(T, E)\n", "igf.print_summary()\n", "ax = igf.plot_cumulative_hazard(figsize=(8,5))\n", "ax = NelsonAalenFitter().fit(T, E).plot(ax=ax, ci_show=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gompertz " ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "class GompertzFitter(ParametricUnivariateFitter):\n", " # this parameterization is slightly different than wikipedia. \n", " _fitted_parameter_names = ['nu_', 'b_']\n", " _compare_to_values = np.array([1., 1.])\n", " \n", " def _cumulative_hazard(self, params, times):\n", " nu_, b_ = params\n", " return nu_ * (np.expm1(times * b_))" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.GompertzFitter
number of observations163
number of events observed156
log-likelihood-650.60
hypothesisnu_ != 1, b_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
nu_0.010.000.000.02-234.13<0.005inf
b_0.080.010.070.09-158.97<0.005inf
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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T, E = waltons['T'], waltons['E']\n", "\n", "ggf = GompertzFitter()\n", "ggf.fit(T, E, initial_point=[0.1, 0.1])\n", "ggf.print_summary()\n", "ax = ggf.plot_cumulative_hazard(figsize=(8,5))\n", "ax = NelsonAalenFitter().fit(T, E).plot(ax=ax, ci_show=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### APGW\n", "\n", "From the paper, \"A Flexible Parametric Modelling Framework for Survival Analysis\", https://arxiv.org/pdf/1901.03212.pdf" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "class APGWFitter(ParametricUnivariateFitter):\n", " # this parameterization is slightly different than wikipedia. \n", " _fitted_parameter_names = ['kappa_', 'gamma_', 'phi_']\n", "\n", " def _cumulative_hazard(self, params, t):\n", " kappa_, phi_, gamma_ = params\n", " return (kappa_ + 1) / kappa_ * ((1 + ((phi_ * t) ** gamma_) /(kappa_ + 1)) ** kappa_ -1)\n" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.APGWFitter
number of observations163
number of events observed156
log-likelihood-655.98
hypothesiskappa_ != 1, gamma_ != 1, phi_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
kappa_13138.46223164.25-424255.43450532.340.060.950.07
gamma_0.020.000.020.02-3624.40<0.005inf
phi_2.880.212.483.299.03<0.00562.29
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" ] }, "metadata": { "image/png": { "height": 316, "width": 473 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "apg = APGWFitter()\n", "apg.fit(T, E)\n", "apg.print_summary(2)\n", "ax = apg.plot_cumulative_hazard(figsize=(8,5))\n", "ax = NelsonAalenFitter().fit(T, E).plot(ax=ax, ci_show=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bounded lifetimes using the beta distribution\n", "\n", "Maybe your data is bounded between 0 and some (unknown) upperbound M? That is, lifetimes can't be more than M. Maybe you know M, maybe you don't." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "N = 100\n", "MAX = 5\n", "T = MAX * np.random.random(N)**2\n", "T_censor = 10 * np.random.random(N)**2\n", "E = T < T_censor\n", "T_obs = np.minimum(T, T_censor)\n" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "from autograd_gamma import betainc\n", "\n", "class BetaFitter(ParametricUnivariateFitter):\n", " _fitted_parameter_names = ['alpha_', 'beta_', \"m_\"]\n", " _bounds = [(0, None), (0, None), (T.max(), None)]\n", " \n", " def _cumulative_density(self, params, times):\n", " alpha_, beta_, m_ = params\n", " return betainc(alpha_, beta_, times / m_)\n", "\n", " def _cumulative_hazard(self, params, times):\n", " return -np.log(1-self._cumulative_density(params, times))" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/camerondavidson-pilon/code/lifelines/lifelines/fitters/__init__.py:951: StatisticalWarning: The diagonal of the variance_matrix_ has negative values. This could be a problem with BetaFitter's fit to the data.\n", "\n", "It's advisable to not trust the variances reported, and to be suspicious of the fitted parameters too. Perform plots of the cumulative hazard to help understand the latter's bias.\n", "\n", "To fix this, try specifying an `initial_point` kwarg in `fit`.\n", "\n", " warnings.warn(warning_text, utils.StatisticalWarning)\n" ] }, { "data": { "text/html": [ "
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modellifelines.BetaFitter
number of observations100
number of events observed59
log-likelihood-88.07
hypothesisalpha_ != 1, beta_ != 1, m_ != 5.90084
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
alpha_0.570.070.430.72-5.81<0.00527.30
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m_4.90nannannannannannan
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\n", 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" ] }, "metadata": { "image/png": { "height": 262, "width": 370 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "beta_fitter = BetaFitter().fit(T_obs, E)\n", "ax = beta_fitter.plot_survival_function()\n", "beta_fitter.print_summary()\n", "\n", "ax = KaplanMeierFitter().fit(T, E).plot(ax=ax, ci_show=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discrete survival models\n", "\n", "So far we have only been investigating continous time survival models, where times can take on any positive value. If we want to consider discrete survival times (for example, over the positive integers), we need to make a small adjustment. With discrete survival models, there is a slightly more complicated relationship between the hazard and cumulative hazard. This is because there are two ways to define the cumulative hazard. \n", "\n", "$$H_1(t) = \\sum_i^t h(t_i) $$ \n", "\n", "$$H_2(t) = -\\log(S(t))$$\n", "\n", "We also no longer have the relationship that $h(t) = \\frac{d H(t)}{dt}$, since $t$ is no longer continous. Instead, depending on which verion of the cumulative hazard you choose to use (inference will be the same), we have to redefine the hazard function in *lifelines*. \n", "\n", "$$ h(t) = H_1(t) - H_1(t-1) $$\n", "$$ h(t) = 1 - \\exp(H_2(t) - H_2(t+1)) $$\n", "\n", "[Here is an example](https://stats.stackexchange.com/questions/417303/what-is-the-likelihood-for-this-process) of a discrete survival model, that may not look like a survival model at first, where we use a redefined `_hazard` function. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking for more examples of what you can build? See other unique survival models in the docs on [time-lagged survival](Modelling time-lagged conversion rates.ipynb)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 2 }