{ "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-dereasing_ 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 that integrals. So, if we define the cumulative hazard, both the hazard and survival function are much easier to reason about vs if we define the hazard and ask questions about the other two. At first, it may be easier to think about the hazard, and that's fine, but so long as we are clever enough to also determine the cumulative hazard, then we can ride the computational train. This will be clear by the end of the tutorial. \n", "\n", "First, let's revisit some simplier 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": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\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": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -771.913\n", " hypothesis = lambda_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_ 51.840 12.490 27.360 76.320 <0.0005 14.379\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 616 }, "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 lack of fit is very obvious. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 317, "width": 475 }, "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": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -647.118\n", " hypothesis = lambda_0_ != 1, lambda_1_ != 1, lambda_2_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "lambda_0_ 162.989 27.144 109.787 216.191 <0.0005 28.630\n", "lambda_1_ 31.366 4.043 23.442 39.290 <0.0005 43.957\n", "lambda_2_ 4.686 0.624 3.462 5.910 <0.0005 28.055\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 603 }, "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 better fit is to compare the log-likelihood mthe 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(ParametericUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"lambda_\"]\n", "\n", " def _cumulative_hazard(self, params, times):\n", " lambda_ = params[0]\n", " return lambda_ * times\n", "```\n", "\n", "We only need to specify the cumulative hazard function because of the 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. See `import` below. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametericUnivariateFitter\n", "\n", "import autograd.numpy as np\n", "\n", "class InverseTimeHazardFitter(ParametericUnivariateFitter):\n", " \n", " # we tell the model what we want the names of the unknown parameters to be\n", " _fitted_parameter_names = ['alpha_']\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: avector 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": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -697.840\n", " hypothesis = alpha_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 21.51 1.72 18.13 24.88 <0.005 106.22\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 317, "width": 475 }, "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": 7, "metadata": {}, "outputs": [], "source": [ "class TwoParamInverseTimeHazardFitter(ParametericUnivariateFitter):\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", " a, b = params\n", " return a / (b - times)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -685.572\n", " hypothesis = alpha_ != 1, beta_ != 76\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 16.50 1.51 13.55 19.46 <0.005 79.98\n", "beta_ 76.55 0.38 75.80 77.30 0.15 2.73\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 317, "width": 482 }, "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": 9, "metadata": {}, "outputs": [], "source": [ "from lifelines.fitters import ParametericUnivariateFitter\n", "\n", "class ThreeParamInverseTimeHazardFitter(ParametericUnivariateFitter):\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": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "number of subjects = 163\n", " number of events = 156\n", " log-likelihood = -649.378\n", " hypothesis = alpha_ != 1, beta_ != 76, gamma_ != 1\n", "\n", "---\n", " coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n", "alpha_ 1588776.28 3775137.44 -5810357.13 8987909.70 0.67 0.57\n", "beta_ 100.88 5.88 89.35 112.41 <0.005 15.38\n", "gamma_ 3.83 0.50 2.85 4.81 <0.005 25.82\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jREdHs3DhQoYPH46trS1vvvmm9tyNGjUiISGhCM/y36E4bVgUS5cuJSkpieDgYL35rfv3789zhfE9e/YwePBgqlSpQmRkJLa2tnr7zJ07l5SUFMLCwvTmoK5evVpvGH5uhq4HTdtcvXrV4DF//fVXnvU9TlHbfeDAgQwcOJC0tDR+/vlnNm7cyLJly2jfvj2///77E+8tLqojR46wceNG2rZty/bt23UWlsvJyWHWrFmFqq+kr1MhhBBCFJ1OD7H5858Qyxxi8cS1bNmSWrVqsXnzZtLT07WJjGZ+rEadOnW0qzo/2jv1JJiZmeHt7c1nn33G6tWrgYe3DAKws7Ojfv36/Pbbb6Smpj7xc5eUp92Gjzp37uGKg4GBgXrb8lq1+cyZM3Tv3h1LS0u2bt2a532Zi1J3fuzt7alZsyaXLl0iMTFRb7vmNl1FUdx2d3R0pGPHjixZsoSgoCBSU1PZvXu3dnvuBadKg+a16Nq1q94q64cOHdIbyg75x1zS16kQQgghis7YhkxLQiyeikGDBnHv3j1CQ0PZtm0bL774Io0aNdLZx8zMjA8//JArV67w0UcfGfwj+8qVK5w8ebLA542Pjze4GJSml9DGxkZbNnLkSDIzMxkyZIjBFZVv3rz5r+89fhptmB/NrX8eTSaPHj3K9OnT9fa/ceMGHTt25O+//+b777/XW3m8IHXv2LGDpUuXFinewYMHk5OTw2effaYzvD8pKYkFCxYUqU4oWrvHxsYanLN97do1QPfa1Cw898cffxQ5xuLI67W4du0aH3zwgcFj8ou5pK9TIYQQQhRd7oTYxswmnz2fDzJkWjwVAwYMYMKECQQHB5OVlaXXO6wxfvx4jh07xqJFi4iMjKRNmza4urpy7do1zp49y759+5g6dSr16tUr0Hm/++47Fi9ezCuvvEKNGjUoW7YsiYmJREZGYmlpyYgRI7T7DhkyhPj4eEJDQ6lRo4Z25ezU1FSSkpLYvXs3gwcPZtGiRU+kTZ6WJ92G+Rk4cCCzZ89mxIgRxMbGUqtWLc6ePcuWLVvo2bMna9eu1dl/woQJJCYm4uXlxb59+9i3b59enSNGjMDR0ZH333+fsLAwXnvtNXr16kXlypU5ceIEP/74I6+//rpe3QUxatQoNm3axA8//ICXlxft27cnLS2NdevW0bp1ayIiIorcFoVt9x49emBnZ8fLL7+Mu7s7qqqyZ88eDh8+jLe3N23bttXW7e/vz/r16+nZsycdO3bE2toaNzc37WrRT1uTJk1o2bIlGzZsoEWLFrzyyitcvXqV7du34+HhoV2kK7fmzZtjY2PDvHnzSElJ0c7R/vDDDylTpkyJXqdCCCGEKLqMLJlDLESxVa1aFT8/P2JiYjAzM9O71YuGubk5mzZtYuXKlYSHh7NlyxZu375NhQoVqFatGpMnT87zWEPeeOMN7t+/z88//0x8fDx3797F1dWVPn36MGrUKL0eyq+++oqAgAAWLVpEdHQ0aWlplCtXjqpVq/Lpp5/Sv3//YrVDSXjSbZifypUrs2fPHkaPHs3evXvZsWMHderUITQ0lLZt2+olrRkZDz9QExIS8uxtDwoKwtHRkRdffJHY2FjGjRvH1q1byc7O5qWXXmLDhg04OjoWKSG2tLQkOjqakJAQ1q5dy/z583F3d2fcuHH06NGjWAlxYdt9xowZ7Nixg4SEBLZt24aVlRVubm7MnDmT9957T2d+/VtvvcWFCxdYs2YNs2bNIjs7Gx8fnxJLiE1NTYmIiGDcuHFs27aNBQsW4OrqyltvvcW4ceMMJq1ly5blhx9+YOLEiYSHh2tXH+/fvz9lypQp0etUCCGEEEVnbEOmlfxuu/KsUhQl3svLyys+Pj7f/TS3+Khbt25JhCWEEEKIApLf0UIIUTo+2vkRsX/GAvCF7xe0dWv7mCNKh7e3NwkJCQmqqurfV7IQZA6xEEIIIYQQQgjA+HqIJSEWQgghhBBCCAEYX0Isc4iFEIKHt+T65ZdfHrufu7u73n2ShRBCCCGeF5IQCyGEEdq0aZP2ntn58fHxkYRYCCGEEM8tndsumT//t12SIdNCCAGEh4ejqupjH4/em1cIIYQQ4nlibD3EkhALIYQQQgghhAAkIRZCCCGEEEIIYYRUVZWEWAghhBBCCCGE8cnMySRHzQHA3MQcM5Pnf8kpSYiFEEIIIYQQQnA3y7h6h0ESYiGEEEIIIYQQGN/8YZCEWAghhBBCCCEEkhALIYQQQgghhDBSGdkZ2p8lIRZCCCGEEEIIYTSkh1gIIYQQQgghhFHSSYjNJSEuMEVReimKslBRlD2KovytKIqqKMrKxxzTQlGUbYqipCqKcldRlF8VRRmhKIrpk4hJiOLy9fVFUZTSDkMIIYQQQogSkXvItI2ZTSlGUnKeVA/xOGAY4AlcetzOiqJ0A3YDrYGNwJeABfAFsOYJxSQKQVEUFEXBzc2Ne/fuGdzH3d0dRVHIzs7Os56pU6dq6zp9+vTTCveJCAoKQlEUkpOTSzuUAouLi0NRFEJCQko7FCGEEEII8ZyR2y4V3cdAbcABeC+/HRVFcQCWAA8AX1VV31RV9VMeJtP7gV6KovR5QnGJQvrjjz+YN29ekY5VVZWlS5dqe1WXLFnyJEMrcStWrODUqVOlHYYQQgghhBAlQuYQF5GqqrGqqp5VVVUtwO69gArAGlVVj+Sq4x4Pe5rhMUm1eDrKli1LuXLlmDFjBjdu3Cj08T/99BPJyckMGjQIZ2dnli9fTmZm5lOItGRUrVqVOnXqlHYYQgghhBBClIjcCbEMmX562vzv3x8NbNsNZAAtFEWxLLmQBICNjQ3jx48nPT2diRMnFvp4TY/w22+/Tb9+/bhx4wYbN258IrGtXr0aPz8/HB0dsbKyom7dukyZMoX79+/r7btnzx66dOnCCy+8gKWlJc7Ozrz88ss6z0lRFJYvXw5AtWrVtMO83d3dtfsYmkOce8jykSNH6NChA2XKlKFs2bIEBgby559/AnD+/Hn69OlDhQoVsLa2xs/Pj2PHjunFeubMGUaPHk3jxo2pUKEClpaWuLm5MXToUC5evKizb1BQEH5+fgBMnDhRG7OiKMTFxRW5vYQQQgghhADj7CE2K4Vzevzv3zOPblBVNVtRlCSgPlAdyHe8qqIo8Xlskm69Ivrggw/48ssvWbx4MR999BG1atUq0HFXr14lIiKC2rVr06JFCxwcHJgzZw7ffPMNvXv3LlZMQ4YMISwsjBdeeIHAwEAcHR05cOAA48ePJyYmhqioKMzMHl7KP/74I506dcLBwYGuXbvi6upKamoqp06dIjQ0lODgYACCg4PZtGkTx44dY/jw4Tg6OgJo/32cw4cPM3PmTHx8fHj77bc5fvw4GzZs4MSJE2zevJlXXnmFOnXqMHDgQC5cuMCGDRt49dVXOX/+PHZ2dtp6NmzYwKJFi/Dz86NFixZYWFjw22+/sXTpUiIjIzly5Aiurq4AdO/eHYDly5fj4+ODr6+vtp7ciXxh2ksIIYQQQggNSYhLRpn//Zuex3ZNecEyk6cppMzj9/m3CMmrOQvH3NycGTNm8Nprr/HZZ5+xYcOGAh0XFhZGVlYWQUFBADRo0ABvb29iY2M5d+4cNWvWLFI84eHhhIWF0aNHD1atWoW19T9vzJCQECZOnMhXX33F8OHDgYe91Dk5OcTFxfHSSy/p1JV7GHhISAjJyckcO3aMESNG6CSUBbFt2zZWrlxJv379tGVvvvkmy5Yto0WLFowaNYrPP/9cu23y5MlMmDCBb7/9VhsrwIABA/j444+xtNQdEPHTTz8REBDAlClT+Prrr4GHCbGjoyPLly/H19fX4MJahW0vIYQQQgghNIwxIX6m70Osqqq3oQfwe2nH9izr1asXzZs3Z+PGjezdu/ex+2sW0zIxMWHgwIHa8qCgIFRVLdbiWvPnz8fMzIxly5bpJHcA48ePx8nJiVWrVukd9+i+AOXLly9yHI965ZVXdJJhgEGDBgFQpkwZRo8erbNN0y6//PKLTrmrq6teMgzQrl076tevz44dOwoVV1HbSwghhBBCCGO8D3Fp9BBrujLz6n7VlKeVQCwiD3PmzKFFixZ88sknHDhwIN99d+7cSWJiIu3bt9cO7wXo27cvo0aNIjw8nClTpmBubl6oGDIyMjh27Bjly5fPc+VrS0tLnZWg+/Xrx4YNG2jWrBm9e/fGz8+Pli1b8sILLxTq3I/TuHFjvbLKlSsD4Onpiamp7u20Ne3y6LxgVVVZtWoV4eHhHDt2jJs3b/LgwQPtdgsLiwLHVJT2EkIIIYQQQsMYe4hLIyE+DTTm4W2adOYAK4piBlQDsoHzJR/aI57QMORnUfPmzenVqxfff/89a9euzXce8DfffAOgHS6tUa5cObp06cIPP/zA5s2b6dWrV6FiuHnzJqqqcv369QIv8tWzZ0+2bNnCnDlzWLZsGYsXLwbA29ub6dOn8+qrrxYqhryUKaP/fY5mXm5+27KysnTKR44cybx583BxcdF+oaDp2Q0PD+fChQsFjqko7SWEEEIIIYSGMSbEpTFkeuf//u1gYFtrwAb4WVVVWQ63lE2fPh1zc3PGjBmT5+2Trl+/zqZNmwB44403dFY+VhSFH374AfgnaS4MTWLZqFEjVFXN95Fbp06d2LlzJzdv3iQmJoaPP/6Y3377jc6dO3Py5MlCx/G0XLt2jQULFtCgQQNOnz7NypUrmTlzJiEhIYSEhBgcSp2foraXEEIIIYQQYJwJcWn0EH8PzAT6KIqyUHMvYkVRrIAp/9vn61KISzyiZs2avP/++8yfP5+FCxca3Edzr2Fvb288PT0N7hMREUF0dDRJSUlUq1atwOe3s7Ojfv36/Pbbb6SmplKuXLlCxW9ra0ubNm1o06YNZcuWZcKECWzfvp169eoBaIc15x6iXJLOnz9PTk4O7dq1w97eXmfbxYsXOX9ef5BEfjEXt72EEEIIIYRxy8jK0P5sLAnxE+khVhSlu6Io4YqihAOa1YSaa8oURfmPZl9VVf8G3gZMgThFUZYqijIL+AVozsOEee2TiEsU34QJE3B0dGTq1Kncvn1bb7tmwazQ0FCWLl1q8PHOO+9oF94qrJEjR5KZmcmQIUNIS9OfVn7z5k0SEhK0/9+9ezfZ2dl6+129ehV4eK9lDScnJwD++OOPQsf1JGhWtt67d69Ognv79m3efvttg8/jcTEXtr2EEEIIIYTQkB7iovMEBj1SVv1/D4ALwCeaDaqqblIUxQf4HAgErIBzwEhggSpjOv81ypUrx9ixY/m///s/vW1xcXGcOXOGhg0b0rRp0zzrePPNN5k6dSphYWFMnDixUPfAHTJkCPHx8YSGhlKjRg3at29P1apVSU1NJSkpid27dzN48GAWLVoEwEcffcSlS5do2bIl7u7uWFhYEB8fz86dO3Fzc6NPnz7auv39/Zk9ezZvv/02gYGB2Nvb4+joyLBhwwrRQkXn7OxMnz59WLNmDZ6enrRr14709HSioqKwsrLC09NTb1VqDw8PXF1dWbNmDebm5ri5uaEoCgMGDMDNza3Q7SWEEEIIIYSGJMRFpKpqCBBSyGP2AR2fxPnF0/XRRx8RGhpKcnKyTrmmd/itt97K93h3d3fatm1LVFQUkZGR9OjRo1Dn/+qrrwgICGDRokVER0eTlpZGuXLlqFq1Kp9++in9+/fX7jt27Fg2btzIkSNHiI6OxsTEhKpVqzJ27FhGjBhB2bJltfu2b9+eOXPmsGTJEubNm0dmZiZubm4llhADfPvtt1SvXp21a9fy1VdfUaFCBbp27cqkSZMIDAzU29/U1JSNGzcyevRo1q9fz61bt1BVlVdeeQU3NzegcO0lhBBCCCGEhjEmxMrz2BmrKEq8l5eXV3x8fL77aW4/U7du3ZIISwghhBAFJL+jhRCiZKmqSqPvGvFAfTiVL6F/Auamhbttakny9vYmISEhQVVV7+LUUxqrTAshhBBCCCGE+BfJysnSJsNmitm/Ohl+kiQhFkIIIYQQQggjZ4zDpaF0brskjFhcXBxxcXGP3c/R0ZERI0Y8/YCEEEIIIYQQugmxuSTEQjwVcXFxTJw48bH7ubm5SUIshBBCCCFECcn1krTzAAAgAElEQVTI/ucexDZmNvns+XyRIdOiRIWEhKCq6mMfj65oLYQQQgghhHh6jHXItCTEQgghhBBCCGHk7mZJQiyEEEIIIYQQwghJD7EQQgghhBBCCKMkCbEQQgghhBBCCKMkCbEQQgghhBBCCKOUe5VpSYiFEEIIIYQQQhgN6SEWQgghhBBCCGGUdBJic0mIhRBCCCGEEEIYCbntkhBCCCGEEEIIoyRDpoUQwkiVL1+eBg0alHYYwoAvv/wSRVH4/vvvSzuUQjlx4gSKojBs2LDSDkUIIYQoEEmIhVFSFKVQj/Dw8FKJ8/bt23qxmJmZUaFCBdq1a/fM/bFcFFu2bEFRFDp37lzaofwraRKQwjyOHDlS2mHnqSCvt+Y5SzJf8jSfSc/a+7FXr14oisKNGzdKOxQhhBD/MsaaEJuVdgCidAUHB+uVzZs3j/T0dIYPH46jo6PONk9Pz5IKzSBzc3PGjh0LQGZmJidPniQyMpKoqCjGjx/PpEmTSjU+UXoqVqyodz1nZmYyffp0nesmt8qVKwNw4MABTE1NSyROYRxq167NqVOnKFu2bGmHIoQQQhSIJMTCKIWEhOiVhYeHk56ezogRI3B3dy/xmPJjYWGhF3NkZCRdu3Zl+vTpfPDBB1SqVKl0ghOlqmLFinrXxu3bt5k+fbrB6ya3mjVrPt3ghNGxsLCgTp06pR2GEEIIUWC5E2IbM5tSjKRkyZBpUWhdunRBURSuXLmiUx4YGIiiKHTr1k2n/Nq1a5iYmNCxY0ed8oyMDCZNmkT9+vWxtramTJky+Pn5sXnz5kLHU6VKFbKzs0lISABAVVW++eYbunXrRrVq1bC2tsbR0REfHx/Wr19vsJ7GjRtjZ2fH3bt3GTduHDVr1sTCwkI7BzAlJYUZM2bg4+ND5cqVsbCwoFKlSgQGBhIfH69XX+4hlZcuXaJ///5UqFABOzs7fHx8OHjwIAB///03w4cPp0qVKlhaWvLiiy8SERFR4Oefe47ljz/+yCuvvIKdnR1lypShe/funDt3Tmf/V155BUVRSExMNFjft99+i6Ioegnk9evX+eSTT/Dw8MDKyoqyZcvSvn174uLi8o1p8+bNtGrVCgcHB+zt7bX7xMTEEBAQgKurK5aWlri4uNCyZUtmzpxpsC0nTZpEw4YNsbGxwd7enlatWrFhw4YCt1N+DM0hzv0cIiMjad68Oba2tlSqVIl3332X27dvA3Dw4EHat2+Po6MjDg4OBAYGcunSJYPnKUwbFsfdu3eZP38+7du3p2rVqlhaWuLk5ESHDh2IiYnR218zjDavR+62Kc774M8//2TgwIG4uLhgamqqM9Xh1KlTdO/eHUdHR+zs7GjVqhXR0dFPpD0K0+53797lP//5D56enjg6OmJra0u1atXo2bMnu3fvBh5eG5preevWrTpt9Z///AfIew6xpq2vXbvGnDlzqFOnDlZWVtSoUYM5c+Zo91u5ciVeXl7Y2Njg7OzMqFGjyMzM1It33bp1vPHGG9SsWRMbGxvs7Oxo2rQpixYtQlVV7X6a1+GHH34AoEKFCgZf38K2lxBCiOeHsd52SXqIRaH5+/uzZcsWYmJi6N+/PwA5OTnExsYCsGvXLh48eKAdgrpz505UVcXf319bx927d/Hz8+PQoUM0bNiQDz/8kL///pv169fTvXt3pk6danCIa140f/gpigLAgwcPeOedd2jatCl+fn5UqlSJ69evs2XLFl5//XVmzJjBZ599pldPTk4OnTt35vTp07Rv3x4nJyfc3NwAOHr0KMHBwfj6+tKtWzfKlClDUlISERERbNmyhaioKFq3bq1X57Vr12jevDnOzs7079+fq1evsm7dOtq2bcvBgwfp27cvmZmZdO/enYyMDFavXk3Pnj1JSEjgxRdfLHAbrF27lk2bNtG5c2fee+89jh07xubNmzly5AgnT57EwcEBgEGDBrFv3z5WrFjBxIkT9epZvnw5iqIwaNAgbdmZM2do06YNly5dws/Pj06dOvH3338TERGBv78/3333HX379jVY1/bt27Uxab5E+eGHH+jVqxdOTk507doVZ2dnbty4wcmTJ1m8eLHOa3P9+nV8fX05efIkTZs25e233yYzM5Pt27cTGBjI9OnTGT16dIHbqbBWr17Nli1b6Nq1Ky1btmTXrl0sXryYixcvMmrUKDp27Ii/vz9vvfUWCQkJbNiwgT///JNDhw7p1FPUNiyKS5cuMWrUKFq2bEn79u0pX748ly5dIiIigldffZVVq1bxxhtvaPd//fXXDc5Djo+PZ8uWLdjY/PMtcVHfB3/99RfNmjWjYsWKvPbaa+Tk5ODk5ATA8ePHadWqFX///TddunShfv36/P7773To0IGAgIBitUVh2713795ERkbSqFEjgoKCsLS05NKlS+zevZudO3fSunVrmjZtypgxY5g+fTq1atXSOb5FixYFiuu9995jz549dO7cmXbt2rFp0yY++eQTVFXVDvXv1q0bvr6+bN++nblz52JiYsLs2bN16hk1ahRly5alRYsWVK5cmbS0NKKiorSfAV9//TXwsMc6ODiYdevWcerUKT799FPt61qxYsUit5cQQojnh7EOmUZV1efuAcR7eXmpj3Py5En15MmTeW5vEN7gmXk8SW5ubiqgJiUlGdx+7NgxFVCDgoK0ZUeOHFEB9dVXX1UB9cCBA9ptb731lgqoCQkJ2rKxY8eqgBoYGKhmZ2dryy9evKg6OzurJiYm6tGjR7Xlt27dUgHV1tZWL57NmzergGpmZqZevXpVVVVVzcnJURMTE/X2zcjIUJs3b65aWVmpN27c0Nnm7e2tAmqTJk3Umzdv6h2bkpKipqam6pWfO3dOdXJyUhs3bqxTrokZUD/++GM1JydHuy00NFQF1LJly6qvv/66mpmZqd22bds2FVD79++vU19kZKQKqJ06ddIpX7hwoQqoFhYW6r59+3S2DRs2TAXUr776SluWnp6uWltbq+7u7joxqaqqJiYmqoqiqK1bt9ZrG1NTU3Xz5s065Tdu3FA9PDxUe3t7nTbTxGRqaqrGxcXptVm7du1UQD179qzetuvXr+v8PzAwUAXUL7/8Uqf8zp07auvWrVVTU1P19OnTevWoav7XTW5OTk5q/fr1dcpyt+vBgwe15dnZ2WqLFi20r9+mTZt0jnv99ddVQI2OjtYpL2wbal7vWrVqqcHBwQYf7733ngroxX7nzh318uXLes/zxo0bao0aNVQXFxc1Kysr3zZJTExUK1SooNrZ2em8F4vzPnjnnXfUBw8e6B3bvHlzFVCXLl2qU75y5UrtsevXr8833rwUpt0vX76sAmrr1q313hs5OTk6nxma5/Xo+1Hj+PHjKqB+8MEHOuWa69nDw0P7eaWqqnr16lXV3t5etbe3VytVqqSeO3dOu+3OnTuqu7u7amNjo6anp+vUl3s/jezsbO15Tpw4YfD8j77PNAp7nT5Nj/sdLYQQ4slqs66NNre4cvtKaYfzWF5eXioQrxYzd5Qh06LQGjZsSIUKFXSGXmp+njp1qs7/NT87OTnpLMi1bNkyzMzMmDNnjs5iRq6urowePZqcnByWLVumd+7MzExCQkIICQlh7NixdO/enR49egAwZswYbU+HoihUr15d73hra2veffdd7t27x65duww+v+nTp+stJgZQrlw5gwvk1KhRg65du3LkyBFSU1P1tpctW5Zp06Zpe68BBg4cCEBaWhoLFizA3Nxcuy0gIIAKFSrwyy+/GIwvL4MHD9brnRo6dCiATm+lg4MD3bt3Jzk5WTsEVGPFihWoqqrTO7xv3z7i4+MZMGAAXbt21dnfycmJ8ePHc+vWLYPDvN944w18fHwMxqsoClZWVnrl5cuX1/588eJFNmzYgK+vLx988IHOfjY2NkybNo0HDx6wZs0ag+d4EoYMGULTpk21/zc1NaVfv34AvPzyy3pTBDSvbe7XrzhtePbsWSZOnGjwoen9e5SNjQ0uLi565U5OTgwcOJArV67w66+/5vmcb968SceOHUlNTWXt2rU6792ivg9sbW2ZOXMmJia6v3ZOnz7N/v37qV+/PkOGDNHZ1q9fPxo3bpxnnI9T1Ha3tLTUeb/Cw+tV06P9JEycOFGnZ7ZixYp06NCBW7duMXLkSGrUqKHdZmNjQ69evcjIyODs2bM69eTeT8PU1JSPPvoIgB07dhQ4puJcp0IIIZ59xtpDLEOmRaEpioKfnx/r1q3j7Nmz1KpVi507d1KrVi2aNGlCvXr1iImJYezYsSQnJ5OUlKSdXwxw5coV/vrrLzw8PLTDkXNr06YN8HBo5qOysrK0w3xNTExwdHTEz8+Pd955h9dee01n38TERGbNmkVsbCwXL17k7t27OtvzmueZO/l5VGxsLAsXLuTQoUNcu3aNrKwsvTrLlSunU1a/fn29xM/W1pYyZcpgb29vcBGwypUrc+HChTzjMMRQ4lClShXgYYKTW1BQEKtXr2b58uXahFVVVVasWIGNjY1OW+7fvx94OHTZ0MJUmnY8deqU3ra82rJfv3789NNPeHp60rt3b/z8/GjZsqVeEnfgwAFUVSUrK8vgue/cuZPnuZ8UQ+2qWZ3a29tbb5urqyvwMJnXKE4bdurUiS1bthiM7cSJEzRs2NDgtqNHjzJnzhz27dvHlStXuH//vt45vby89I7LzMykR48enD59mtDQUL25/1C094GHhwdlypTRq0sz779169Z6SSiAj49PkW+PVdh2d3Fxwc/Pj6ioKLy9venZsyetWrWiadOmBr+8KY7iXFe5t1+9epVZs2bx448/kpycTEZGhs5xeX3OGVKc61QIIcSzTxJioef4oOOlHcK/lr+/P+vWrSMmJgY3Nzf27Nmj7Rnz9/dnyZIl3Lt3T9tTnHv+cHp6OoDBHqzc5WlpaXrbbG1ttYsZ5efkyZO0aNGC27dv4+vrS0BAAA4ODpiamnLmzBlWr16tlyAA2gWbDFm5ciUDBw7Ezs6OV199lWrVqmFra4uiKPz000/s37/fYJ2GkgAAMzOzfLc9mmQ8jqFebTOzh2/xBw8e6JS3bdsWV1dXvv/+e7788ktsbGzYs2cPSUlJ9O/fX6cNUlJSgIeLB23dujXP8xt6XZydnQ3uq2nHefPmsXjxYkJDQ4GHPa6aBZtyn3vfvn3s27evUOd+Ugy9Rpp2zW9b7tevOG1YFLGxsXTo0AFFUWjbti3du3fH3t4eExMTDh06xPbt2w1eq/CwR3zXrl2MGjWK9957T297Ud8HeV0Lms+DvFaHz+u4gihKu0dERDBt2jTWrl3LuHHjgIefC3369GH27Nl6iX5RPYnr6tq1a3h7e3Pp0iWaN2/O4MGDcXR0xMzMjGvXrvH111/n+TobUtLXqRBCiH+PrAdZZOdkA2CqmGJuYv6YI54fkhCLItH04kZHR1OvXj0yMjK0SW+bNm1YuHAhe/fu1SbEmv3hnz/2/vrrL4N1axZeyitZLIhZs2aRnp7O+vXr6dWrl862JUuWsHr1aoPHGeqh0hg3bhz29vYcPXpUbzj22bNntb0rzwITExMGDBjAjBkz2LBhA/3792f58uUAOsOl4Z/X4dtvv9Ub0vo4+bVnz5496dmzJ7du3eLAgQNERESwePFiOnbsyPHjx6levbr23M/6PaaL04ZFMXHiRLKysjh48CBNmjTR2fb555+zfft2g8dNmDCBVatWERgYqLd4k0ZR3wd5XQuatrl69arB7Xl9ThREUdrdzs6OadOmMW3aNC5cuMCuXbv49ttvWbZsGZcvX86z7UpDaGgoly5dYvbs2XzyySc626KiovIcUp+Xkr5OhRBC/HtkZP8zwsjazDrfv+GeNzKHWBRJzZo1qVq1KrGxsURHR2uHUQP4+vpiYmJCdHQ0sbGxuLq64uHhoT3WxcUFZ2dnEhMTdYaVamhWqzY0nLOgzp07h4mJCd27d9fbltfc4fxkZ2dz4cIFPD099ZKArKysZyoZ1ggKCgIergR99+5d1q9fT5UqVXS+vICHvbYAe/bseSpx2Nvb8+qrr7Jw4UI+/vhjMjIyiIqKKpFzl5SSfh7nzp2jSpUqeskwoDdvXGP58uVMnjyZZs2a8d133xn8Rfg03gea9/nu3bt1bhOkUZT3q0Zx293NzY2BAwcSExODq6srP/30k3bqhWbtg0dHX5QkzS3VAgMD9bbl1W75xf28vN+EEEIUnrEOlwZJiEUxtGnThtTUVBYvXoynp6d2wRlHR0e8vLwICwvjr7/+0kuw4OECUFlZWfzf//0fOTk52vLLly8zY8YMFEVh8ODBRY7N3d2dnJwcvT/sNm7cyH//+99C12dmZoarqyu//fYbN27c0Jbn5OQwZswYkpKSihxrafHw8ODll19m586dLFy4kFu3bjFgwAC9RY98fHzw8vJi5cqVefasJyQk6M1Tzk9cXJzBP8g1vYSa28G4u7vTo0cP4uLimDt3rs61onHmzBn+/PPPAp+7NDyNNsyPu7s7ly9f5syZMzrl8+fPZ+/evXr779y5k7fffptq1aoRERGBtbXhX4RP433g4eFB8+bN+e233/QW0lu1alWR5w9D4dv9ypUrBufH3rp1izt37mBhYaFNKK2trbG2tuaPP/4ocnzF5e7uDqB3f+D9+/czd+5cg8doPqcNxV3S16kQQoh/D2NOiGXItCgyf39/wsPDuXbtmnb+cO5tM2fO1P78qHHjxhEVFcXq1as5efIk7du359atW6xbt46UlBQmTZpEo0aNihzbhx9+yNq1a+nUqROvvfYaFStW5NixY0RHR/Paa6+xbt26Qtf58ccf88knn/Diiy/Ss2dPTExM2LVrF8nJyQQEBPyrhlIW1KBBgzhw4IB2ruSjw6Xh4VDX9evX4+/vT9++fZkzZw5NmjTB3t6eixcvcvToUX7//XeOHz9ucPVhQ9566y1u375NixYtcHd3185t3bNnD7Vr19auHA4Ph7gnJSUxatQoli5dSosWLShfvjyXL1/mt99+IyEhgcjISO0CYv9GT6MN8/Pxxx/Tq1cvmjVrxmuvvYadnR0HDhzg8OHD9OzZkw0bNujsHxQURFZWFs2aNdPO586tYsWKvP/++9q6n/T7YPHixbRq1Yq3336biIgI7X2IIyMj6dy5c56Lij1OYds9MTGRVq1a0ahRIxo0aICrqytpaWlERkaSlpbG2LFjsbCw0NavuSd7YGAgDRs2xMzMjLZt22p7Wp+2N998kwULFjB06FC2b99OtWrV+P3339m6dSu9evVi7dq1esf4+/vz9ddfM3DgQLp3746trS0VK1Zk6NChJX6dCiGE+PeQhFiIIsjd8/toL3DuhNhQD7GNjQ1xcXHMnj2btWvXMn/+fCwsLGjUqBHDhw+nZ8+exYqtWbNmREVFMWHCBDZv3kxOTg6NGjVi69atPHjwoEgJ8ciRI7Gzs+PLL79k2bJl2Nra4uvry7p161iyZMkzmRD36dOHjz/+mHv37vHyyy9Tu3Ztg/tVr16do0ePMn/+fDZu3Ki9PZOLiwv169fn008/pWbNmgU+b3BwMJGRkSQkJPDTTz9hampK1apVCQkJ4cMPP8TOzk67r5OTE/v37yc0NJS1a9eybt06MjMzqVSpEh4eHixcuJBXXnml2G3xtD3pNsxPYGAg33//PTNmzOC///0v5ubmNG/enL1793L48GG9hFizMnFet6+qX7++NiF+Gu+Dhg0b8vPPPzNmzBji4uKIiYmhUaNGbN++nd9//73ICTEUrt3r1KnDhAkTiIuLIzo6mpSUFJycnKhbty7z5s3TW49g0aJFjBgxgri4ODZt2kROTg5WVlYllhBXq1aN3bt3M2bMGHbu3Mm9e/eoV68eYWFhNGrUyGBCHBgYyNSpUwkPD2fu3LlkZmZSv3597S3aSvI6FUII8e9hzAmxYmjO1rNOUZR4Ly8vr/j4+Hz30wyNq1u3bkmEJYQQQogCkt/RQghRcvZe2st70Q/vLtHcpTnftPumlCN6PG9vbxISEhJUVdW/X2EhyBxiIYQQQgghhDBixtxDLAmxEEIIIYQQQhix3AmxjblNKUZS8mQOsRBCiGfGrFmztHOe89OuXTtatGhRAhEJIYQQz767WcbbQywJsRBCiGfGrFmzSElJeex+dnZ2khALIYQQBWTMQ6YlIRZCCPHMyH3/YyGEEEI8GcacEMscYiGEEEIIIYQwYpIQCyGEEEIIIYQwShnZ/6zPIQmxEEIIIYQQQgijIT3EQgghhBBCCCGMkk5CbC4JsRBCCCGEEEIII5F7yLSNmXHdh1gSYiGEEEIIIYQwYsZ8H2JJiIUQQgghhBDCiMkcYiGEEEIIIYQQRkkSYiGEEEIIIYQQRkkSYiEKydfXF0VRSjsMIf41goKCUBSF5OTk0g5FPCI5ORlFUQgKCirtUArN3d0dd3f30g5DCCHEc04SYmG0FEUp1CM8PLy0Qy4WTSKf+2Fvb4+3tzfTpk3j7t27j6/kGad53sIwd3f3Qr0nQkJCSjvkfBXk9dY8Z0nmS96z+OVieHj4c/H7QAghxD+MOSE2K+0AROkKDg7WK5s3bx7p6ekMHz4cR0dHnW2enp4lFdpTNWjQINzd3VFVlYsXL7JhwwY+//xzNm/ezN69ezE3Ny/tEEUpGTFiBGlpaTpl4eHhXLhwQXvd5Obr6wvA9OnTGT16NK6uriUUqTAGMTExpR2CEEKI51x2TjZZOVkAmCgmWJpalnJEJUsSYiNnqHcrPDyc9PR0RowY8dwO1QsKCtImMgBTpkyhUaNGHDp0iP/+978MGjSo9IITpWrEiBF6ZXFxcVy4cEHvusnNxcUFFxeXpxydMDY1atQo7RCEEEI85x7tHX7WRi4VlwyZFsWSnZ3NtGnTqFWrFpaWllSpUoXPPvuMzMxMvX0VRcHX15e//vqLt956C1dXV0xNTXWG3WVkZDB9+nQ8PT2xtbXFzs6O5s2bs3r16jxj2LFjBx07dqR8+fJYWlpSo0YNPv30U71evvy4uLjQs2dPAA4dOqQtj42NZejQodSrVw8HBwesra1p0KABEydO5N69e3r1hISEoCgKcXFx/Pe//6VZs2bY2dnpfLEQHh5OYGAg1atXx9raGgcHB1q2bMnKlSsNxqYZUpmVlcWkSZOoUaMGVlZWeHh4sGTJEu1+ixYtomHDhlhbW/PCCy8QHBxMTk5OgZ5/7jmWycnJ9OnTh/Lly2NlZUXjxo3ZsmWLzv4zZsxAURTmz59vsL7Lly9jZmZG48aNdcqzs7MJDQ3l5ZdfxsHBARsbGxo1asSXX36pF2vumM6cOUPv3r2pWLEiJiYmxMXFAXD+/HmGDh1KzZo1sba2ply5cjRs2JB3332XlJQUvbhWr16Nn58fjo6OWFlZUbduXaZMmcL9+/cL1E75MTSHOPdzSExMpFevXjg5OWFvb0+7du04ceIEANevX2fo0KG4uLhgZWVFkyZNiI2NNXiewrRhcW3atIn+/ftTu3ZtbG1tsbW1xdvbmwULFuidSzOMNr9H7rYp6vsgMzOTSZMm4eHhgaWlpc684Fu3bjFy5EheeOEFrKysqFOnDnPnzn0i7VLYdo+IiMDf3x8XFxcsLS2pXLkyPj4+hIaGAv9cG7t27QJ0p6/k/tLF0Bzi3EOWo6KiaNWqFXZ2dlSoUIHBgwdrP/uOHj1K586dKVu2LHZ2dnTt2tXgsPj4+HiGDx/OSy+9RLly5bCysqJWrVqMGjWKmzdv6uzr6+vL4MGDARg8eHCer29JXqdCCCGKx5iHS4P0EIti6tu3L3v27CEgIAAHBwe2bdvGrFmzuHbtGmFhYXr7p6am8vLLL2NnZ0fPnj0xMTGhUqVKAKSlpdGmTRuOHj2Kl5cXQ4YMIScnhx07dtC3b19+++03pkyZolPfxIkTCQkJoVy5cnTu3JmKFSvy66+/8p///Idt27axf/9+HBwcCvRcVFUF0PlWbObMmfz++++0aNGCTp06ce/ePfbt20dISAhxcXFER0djamqqV9ecOXOIioqiS5cu+Pn5kZ6ert323nvvUb9+fVq3bo2LiwspKSls27aNAQMGcPr0aSZPnmwwvj59+nDw4EE6duyIubk533//PUOHDsXc3Jxff/2V5cuX07lzZ/z9/YmIiGDSpEnY2Njw2WefFej5A1y4cIGmTZtSvXp1BgwYQGpqKmvXrqVbt25ER0fj5+cHwIABA/j8889ZsWIFw4cP16tn5cqVPHjwQCdZycrKokuXLuzYsQMPDw/69u2LlZUVsbGxfPjhhxw8eJDvvvtOr67ExESaNWtG7dq16devH3fv3sXBwYErV67QpEkT/v77bzp27EhgYCD37t0jKSmJ7777jmHDhuHk5KStZ8iQIYSFhfHCCy8QGBiIo6MjBw4cYPz48cTExBAVFYWZ2dP5SExOTqZZs2bUrVtX+6XDxo0b8fX1Zf/+/XTo0AEHBwd69+5Namoqa9asISAggDNnzlC1atVit2FRjR49GhMTE5o1a4arqyvp6ens3LmT4cOHc/jwYZ1zeXp6GpyCkZ6ezvz581EUBSsrK215Ud8HgYGBHD58mICAALp3707FihUBuH//Pv7+/hw+fJiXXnqJfv36kZaWxuTJk7VJZ1EVtt2/+eYb3nnnHZydnenSpQvly5fn2rVr/Prrr4SFhfH+++/j6OhIcHCwdjh+7rYr6MiciIgItmzZQufOnXn33Xf5+eefCQ8PJzk5menTp+Pv70+rVq148803OX78OJGRkZw/f55ff/0VE5N/vg9fsmQJGzduxMfHh7Zt25KTk0N8fDxz585l+/btHDx4EHt7e+DhFz+Ojo5s3ryZbt266Uyj0UyxKenrVAghRPEYe0KMqqrP3QOI9/LyUh/n5MmT6smTJ/Pe7lHnmXk8SW5ubiqgJiUl5bmPj4+PCqheXl5qSkqKtlTcWS0AACAASURBVPz27dtqjRo1VBMTE/XKlSs6xwAqoA4YMEDNysrSq3PQoEEqoM6cOVOn/O7du2r79u1VRVHUo0ePast37typAmrz5s3Vmzdv6hwTFhamAuqIESMMxh0bG6tTfvnyZbVixYoqoK5YsUJbnpiYqObk5OjFOm7cOBVQ16xZo1MeHBysAqqNjY2akJCgd5yqquq5c+f0yu7fv6+2adNGNTMzUy9evGgw5saNG+s8z8TERNXc3Fx1dHRU3d3ddY67efOm6uTkpJYvX16vrTWvQ25JSUna8pCQEJ1tP/74owqoAQEBOuXt2rVTAfX48eN6z6devXqqhYWFeuPGDb22GTZsmJqdna0tz87OVocMGaIC6qZNmwzGNGbMGL1zLFiwQAXUefPm6W27ffu2mpGRof2/5nro0aOHTnnuuAzVo5HXdZOb5vrN/b7J/RymTJmis/+kSZNUQC1btqz6zjvvqA8ePNBuW7FihcHrt7BtqKr/vN7BwcF5PsqUKWPwPW/oWn3w4IE6cOBAFVAPHDiQZ3uoqqpmZmaq/v7+Btu3qO+Dhg0bqtevX9c7durUqSqg9uzZU6ctz58/r5YtW1YF1EGDBuUbb14K2+5eXl6qhYWFevXqVb26Ho1d87zy4ubmprq5uemUaa5nU1NTNS4uTlv+4MEDtW3bttrrauXKlTrH5XWNJCcn6zwvjaVLl6qAOmPGDIPnDwsLMxhzUa5TQx73O1oIIcSTcSrllNogvIHaILyB2nNzz9IOp8C8vLxUIF4tbu5Y3Ar+jQ9JiIunMAlxVFSU3rYJEyaogBoZGalTDuT5R+KNGzdUU1NTtXHjxgbP98svv6iA+umnn2rLunfvrgLqiRMnDB7j6empVqhQwWDcgwYNUoODg9UJEyaoQ4YMUR0dHVVAbdq0qZqZmZnn89ZISUlRAXXw/7N339Fx1Xf+/193qrpkucm9YXABG+zgwAIBQlsgkAApJBAC2WT37OakQfaXfHMIgV9+OUuSsyywu2wSkiV8s1nCEnpn6abFxqbaEMA2NrYkq4+ml3s/vz/Gup6x2ki2NNLM83GOj+9nbpm3RjL45U+74oq81/v+InhgkCnE3XffbSSZ22+/fcCan3zyyX73nHrqqUaS+e1vf9vv3OWXX24kmQ8//DDv9aEC8YIFCwb8i/H8+fPN1KlT8177wx/+YCSZ733ve3mvb9y40Q2ffWzbNo2NjaapqWnAfwzp7u42lmWZz33uc/1qmjlzpkkkEv3u6QvEv/rVr/qdO9DRRx9tfD5fv384MSb7l/SpU6eaY489dtD7DzYQL1y4sN/nunPnTvcfT3p7e/vV5PP5zCmnnOK+NprP0Jj93+9Cfg31Zz7Xpk2bjCRz3XXXDXndFVdcYSSZb37zmwU915jh/xwMFqQOO+ww4/F4BgzafX8uRxOIR/O5r1mzxlRVVZmurq5hn38wgfjSSy/td/3tt99uJJmTTjqp37lnn312wH/0GozjOKaurs6ceuqpA77/QIF4tD+nAyEQA8D42NS6yQ3Elzx8SbHLKdihCsQMmcZBOXCOqCTNmzdPkvrNPZOyQwH7hjjm2rhxo2zbHnQbm3Q6u/LdO++847728ssvy+/366677tJdd93V755UKqX29nZ1dnbmDZ2VpNtvv909rq6u1tKlS3XRRRfpyiuvzFthOhqN6qabbtK9996r9957T+FwuO8fXSRJe/bs6fe+krRu3boBX5ekXbt26Wc/+5meeuop7dq1q99WT4M9c6DPevbs2ZKktWvX9jvXt9rx7t27tWDBgkHryXX00UcPOAR83rx5evnll/Neu+CCC1RfX68//OEPuv766937+j7b3OHS7733nrq6urR06dJ+w977VFZW5n1/+6xevVrBYP/VDs8//3z98Ic/1De+8Q09/vjjOuuss3TCCSdoxYoVecPeY7GY3njjDU2bNk033njjgO8dDAYHfO9DZaDPte97d/jhh7vDUft4vV7NnDlTu3fvdl87mM9QUt7P7YEWLlyonTt39nu9s7NTv/jFL/TII49o+/btikajeecH+1mVpJ/+9Ke67bbbdN555w34uY/2z8FAf7bC4bA++OADzZs3b8BFqE455RRdd911g9Y6lNF87pdccomuuuoqrVixQhdffLFOPvlknXDCCZo+ffqoahjMwfw3IVc6ndavfvUr/fGPf9TWrVsVCoXy5vkO9X0+0MH+nAIAxl+5D5kmEA9h+bv8D3s4B27LJMmdh2nbdr9zTU1NAz6nbwGkjRs3auPGjYO+XyQSybsnk8kM+xfdSCTSLxA/88wzg64W3CedTuuTn/ykNmzYoCOPPFJf+MIXNH36dDcwX3fddYMuxjTY17l9+3atW7dO3d3dOumkk3TmmWeqvr5eXq9XH374oW6//fZBn1lfX9/vtb7Peqhzff+YUIiBvp99zzpwIZzKykp9/vOf16233qonnnhCZ599tlKplO644w5Nnz5dZ599tntt3/f3/fffH/L7lfv97TPYZ7lgwQJt2LBB1157rR577DHdc889krLh/Xvf+56+9a1vScr+w4wxRu3t7aMORQdrpN+7vvO537uD+QxHo6enR8cee6x27NihdevW6bLLLlNjY6N8Pp96enp00003Dfqzescdd+hHP/qR1q5dqzvuuCNvvqp0cH8OBvp56Juj37ceQSH3FGo0n/uVV16padOm6ZZbbtHNN9+sG2+8UZZl6eSTT9YvfvGLAYPsaByq/yZ84Qtf0L333qvFixfr05/+tJqamtx/hLrxxhtHtOjceP+cAgAOHoEYGEeDLePe95e37373u7rhhhsKelZ9fb0cx1FXV9chqy/X/fffrw0bNujyyy/vt0BYS0vLkH/ZG+zrvOGGG9TZ2anbbrstrwdVyoaI3J7ryeArX/mKbr31Vt1+++06++yz9fDDD6uzs1Pf/va383ra+76/F1xwgRtcCzXU0v/Lly/XnXfeqUwmozfeeENPPvmk/vVf/1Xf/va3VV1drb/5m79x3/uYY47R5s2bR/FVTgwH8xmOxm9+8xvt2LFDP/7xj/uN2nj55ZcHXWF8/fr1uuKKKzRv3jw9+OCDqq6u7nfNwfw5GOjnoe+z2bt374D3tLa2Dvq84Yz2c7/ssst02WWXqaenRy+99JLuvfde/ed//qfOOussvfvuu4e8t3i0Xn31Vd177706/fTT9eijj+YtLOc4jn7+85+P6Hnj/XMKADh45R6I2XYJE8K6devk8Xi0fv36gu857rjj1N3drS1btoxJTR988IEkudsx5RrtqrV9z7zooosO2TOL6YQTTtDSpUt1//33KxQKuUHmwH2cly1b5q7qPJIe60L5fD6tXbtW3//+990tuu677z5JUk1NjVauXKktW7aM2T+ejIex/gwPNJqf1ffee0+f+cxnFAwG9fDDDw+6L/Oh/nNQW1urww47THv27NG2bdv6ne/bpms0DvZzb2ho0DnnnKNbb71Vl19+ubq6uvT888+75/uG0g80omY89H0vzj///H6rrG/YsKHfUHZp6JrH++cUAHDwCMTABDBjxgxdcsklevXVV/WTn/xkwL9obdu2TTt27HDb3/3udyVJX//619Xc3Nzv+mg0qldeeWXUNfVtfXLgX6a3b98+oq2MCnnm448/rt/85jejemaxfeUrX1EikdAtt9yiRx55RKtWrdIxxxyTd43P59M3v/lNtbS06Fvf+taAf8luaWnR1q1bC37fTZs25W1n1aevl7Cqqsp97corr1QqldJXv/rVAfen7u7unvC9x2PxGQ5lsJ/V1157Tf/0T//U7/qOjg6dc8456u3t1Z/+9CcdeeSRI372wfw5uOKKK+Q4jr7//e/nDe/fsWOHbr755lE9Uxrd5/7MM88MOGe7ra1NUv7PZt90jl27do26xoMx2Peira1N3/jGNwa8Z6iax/vnFABw8Mo9EDNkGhPGv/3bv+n999/XNddco9///vc68cQTNXPmTDU3N+udd97Rxo0bdccdd2jRokWSpNNOO03XX3+9/s//+T9aunSpzjnnHC1atEiRSEQ7d+7Uc889pxNPPFGPPfbYqOo577zzdNhhh+mGG27QW2+9pWOOOUa7du3SQw89pHPPPXdUf4H9h3/4B91222363Oc+p89+9rOaPXu23n77bT322GP6/Oc/rzvvvHNUtRbTl7/8ZV1zzTX68Y9/rHQ63a93uM+PfvQjvfHGG/rlL3+pBx98UJ/85Cc1Z84ctbW16f3339eLL76on/70p1qxYkVB7/v73/9ev/rVr3TiiSdqyZIlmjJlirZt26YHH3xQwWBQ3/nOd9xrv/rVr2rTpk265ZZbtGTJEp111lmaP3++urq6tGPHDj3//PO64oor9Mtf/vKQfCZj5VB/hkO57LLL9Itf/ELf+c539Mwzz2jp0qV6//339dBDD+nCCy/s97N6zTXXaNu2bVqzZo1efPFFvfjii/2e+Z3vfEcNDQ1j8ufgqquu0n333ae7775ba9as0VlnnaWenh79z//8jz7xiU/ogQceGPVnMdLP/YILLlBNTY2OO+44LVy4UMYYrV+/Xhs3btTatWt1+umnu88+7bTTdNddd+nCCy/UOeeco8rKSi1YsEBf/vKXR13vSBx77LE64YQTdM899+iv/uqvdOKJJ2rv3r169NFHdcQRR7iLdOU6/vjjVVVVpRtvvFGdnZ3uHO1vfvObqq+vH9efUwDAwYtlYu4xgRgoorq6Oj333HP69a9/rf/+7//W3XffrUQioZkzZ2rp0qX6l3/5F51xxhl593z/+9/XCSecoJtvvlkvvPCC7r//ftXX12vOnDn627/9W33pS18adT3V1dV6+umn9YMf/EDPPvus1q9fr8WLF+tHP/qRrrzyylH9pX3VqlV65plndPXVV+vhhx9WJpPR6tWrdc8996ihoWFSBuL58+fr1FNP1VNPPSWfz6dLLrlkwOv8fr/uu+8+/dd//Zd+97vf6aGHHlIkEtH06dO1aNEi/eQnPxn03oF88YtfVDKZ1EsvvaRNmzYpHo9rzpw5uvjii3XVVVf166H893//d5199tn65S9/qSeffFI9PT1qbGzU/Pnz9Y//+I+69NJLD+pzGA+H+jMcyuzZs7V+/Xr94Ac/0AsvvKDHH39cy5Yt0y233KLTTz+9389qLJb9n+nmzZsH7W2//PLL1dDQMCZ/DoLBoJ588klde+21uvPOO3XTTTdp4cKFuvrqq3XBBRccVCAe6ed+/fXX6/HHH9fmzZv1yCOPqKKiQgsWLNDPfvYz/f3f/33e/Pqvfe1r2rlzp/74xz/q5z//uTKZjE4++eRxC8Rer1cPPPCArr76aj3yyCO6+eabNWfOHH3ta1/T1VdfPWBonTJliu6++25dd911+t3vfueuPn7ppZeqvr5+XH9OAQAHL7eHuMpfNcSVpckaaiuOycqyrE1r1qxZs2nTpiGv69v2Yfny5eNRFgAAKBD/jwaA8fHTV36qP/7lj5KkH6z7gS5ZPjn+0XLt2rXavHnzZmNM/70GR4A5xAAAAABQpsp9DjGBGAAAAADKVN6QaV/5DZlmDjEAoKzcd999ev3114e9buHChf32SQYAoNSUew8xgRgAUFbuu+8+d8/soZx88skEYgBAySv3QMyQaQBAWfnd734nY8ywvw7cmxcAgFJEIAYAAAAAlKVy34eYQAwAACaUUtwSEgAmqmg66h6X4z7EZR2ILcuSJDmOU+RKAABAn75A3Pf/aQDA2Amnwu5xXaCuiJUUR1kH4mAwKEmKRqPDXAkAAMZL3/+X+/4/DQAYG2k77c4h9lpeVfuri1zR+CvrQFxbWytJam1tVTgcluM4DNMCAKAIjDFyHEfhcFitra2S9v9/GgAwNkKpkHtcG6gty5E5Zb3tUmNjo6LRqGKxmHbv3l3scgAAwD5VVVVqbGwsdhkAUNJ6U73ucX2wvoiVFE9ZB2KPx6N58+apq6tL4XBYyWSSHmIAAIrEsiwFg0HV1taqsbFRHk9ZD2QDgDHXm9wfiMtx/rBU5oFYyobiadOmadq0acUuBQAAAADGTW4PcbkGYv7pFQAAAADKUCi5fw4xgRgAAAAAUDbyeoiDBGIAAAAAQJlgyDSBGAAAAADKUu6iWuW6ynRRA7FlWedalvWEZVm7LcuKW5a13bKsuyzLOr6YdQEAAABAqaOHuIiB2LKsn0l6SNIaSY9JuknSZkmflvSiZVmXFqs2AAAAACh1bLtUpG2XLMtqkvQ9SXslrTLGtOWcO1XS05L+X0n/VYz6AAAAAKDUDbWolnEcWWWwH3yxvsIF+977z7lhWJKMMc9ICkuaXozCAAAAAKAcDDZk2kkmFd+0SamdO4tR1rgqViB+X1JK0jrLsqblnrAs6xOSaiU9WYzCAAAAAKAcDDZk2g6F5KRScmKxYpQ1rooyZNoY02VZ1vcl3SBpq2VZ90nqlLRE0vmS/lfS3w33HMuyNg1yatmhqhUAAAAASlFuD3HuKtMmHpeTSBSjpHFXlEAsScaYGy3L+lDSf0r6es6pDyT97sCh1AAAAACAQyNlp5Sws6HXZ/lU6at0zzmxmEwyWazSxlUxV5n+fyT9SdLvlO0Zrpa0VtJ2SX+wLOvnwz3DGLN2oF+S3h3D0gEAAABgUjtwQS3Lsty2E48TiMeSZVmnSPqZpAeMMVcaY7YbY2LGmM2SLpC0R9JVlmUtLkZ9AAAAAFDKQsmQe5w7f9ikUnISCZmMXYyyxl2xeog/te/3Zw48YYyJSdqgbG3HjGdRAAAAAFAOBl1h2h0ubYpQ1fgrViAO7vt9sK2V+l5PjUMtAAAAAFBW8laYztmD2InH5STKY7i0VLxAvH7f739rWdac3BOWZZ0t6QRJCUkvjXdhAAAAAFDqBu0hLqP5w1LxVpn+k7L7DJ8u6R3Lsu6V1CppubLDqS1JPzDGdBapPgAAAAAoWYMG4mhMTjIhy1O09ZfHVbH2IXYsyzpH0jckXazsQlpVkrokPSLpZmPME8WoDQAAAABK3UBDpo0xcuJxKZmSKiuKVdq4KuY+xGlJN+77BQAAAAAYJ6FU/1WmTSIhk0zKOI6swW4sMeXRDw4AAAAAcOX1EO8LxE4sO1xaZTJcWiIQAwAAAEDZyZ1DXB+sl7RvQa1EUp5gcLDbSg6BGAAAAADKzECLajmxmEwqKYtADAAAAAAoVQMuqhWLyUkkCMQAAAAAgNJ1YA+xsW3Z8bhMJiMrEChiZeOLQAwAAAAAZSaUzF9l2onHZZIpWYGgLKtc1pgmEAMAAABAWUlkEko5KUmSz+NTpa9STjS7wnQ5LaglEYgBAAAAoKzkrTAdqJdlWTLxmJQsrwW1JAIxAAAAAJSVgRbUcuJxOckUgRgAAAAAULoG3XKJIdMAAAAAgFJ2YCB2Uik5iYRkJMvvL2Jl449ADAAAAABlJC8QB+tkYjGZMpw/LBGIAQAAAKCs9NtyKRaTQyAGAAAAAJS6vFWmg/X79iBOylNRUcSqioNADAAAAABlJG+V6UCdnFhcToIeYgAAAABAicvtIa7118qJxaQUgRgAAAAAUOLyArEJyiTiks8vy1N+8bD8vmIAAAAAKGO5Q6ZrHL+cZFKeysoiVlQ8BGIAAAAAKCOh1P5VpmsyPpl4oiyHS0sEYgAAAAAoK7k9xLVpr5xkoixXmJYIxAAAAABQNowxeXOIq5MemURSFoEYAAAAAFDKEnZCaSctSQp4AgqmHcnnk+X1Frmy4iAQAwAAAECZyNuD2F8jp4znD0sEYgAAAAAoG3lbLnmrZcp4/rBEIAYAAACAshFK7l9hutZTKaeM5w9LBGIAAAAAKBu5PcR1qpRJxOkhBgAAAACUvtxAXKMKyeOV5fMVsaLiIhADAAAAQJnI24PYBMp6QS2JQAwAAAAAZSOvh9gJlPVwaYlADAAAAABlIy8Q276yXlBLIhADAAAAQNnIXWW6Ju2jh7jYBQAAAAAAxkf+KtMVsvz+IlZTfARiAAAAACgTeYE4UFfESiYGAjEAAAAAlIncVabrKuqLWMnEQCAGAAAAgDKR10Nc0VDESiYGAjEAAAAAlAFjTH4grmwsYjUTA4EYAAAAAMpAPBNXxslIkgLyqSJYVeSKio9ADAAAAABlIH+F6UpZllXEaiYGAjEAAAAAlIHcPYhrPZVFrGTiIBADAAAAQBnI7SGu9VYXsZKJg0AMAAAAAGUgb8i0v6aIlUwcBGIAAAAAKAOhaJd7XOerLWIlEweBGAAAAADKQCjS4R7XellhWiIQAwAAAEBZ6Iy0ucf1XoZMSwRiAAAAACgLHdH9gXiar6GIlUwcBGIAAAAAKHHGGHUkOt32NF99EauZOAjEAAAAAFDiTCymjlS3224kEEsiEAMAAABAybMjUXXa+7ddooc4i0AMAAAAACUuFQ6px4lIkixZavCy7ZJEIAYAAACAktcRanaPp3hr5bO8Raxm4iAQAwAAAEAJM7attnCL257KcGkXgRgAAAAASpgTjaoj1u62CcT7EYgBAAAAoIQ5kYg6El1umwW19iMQAwAAAEAJc6JRdST370FMD/F+BGIAAAAAKGF2JKLOdI/bnuptKGI1EwuBGAAAAABKlJNKyYnH1Wki7mtTfXVFrGhiIRADAAAAQIlyolE58bi6PXH3tak+eoj7EIgBAAAAoEQ5kYhMPKFO0UM8EAIxAAAAAJQoJxKRHY+p0wm7r02jh9hFIAYAAACAEmSMkRONKpwIKS1bklTlqVClJ1jkyiYOAjEAAAAAlCATj2cX1LJi7mtTvWy5lItADAAAAAAlyA5HsgtqBdLua9PYgzgPgRgAAAAASpATCcuJxdXlT7qvNRKI8xCIAQAAAKAEOeGwnHhMXd6E+xo9xPkIxAAAAABQYpxUSnYsJpOx1amo+/pUAnEeAjEAAAAAlJhs73BcnooKddoh93UCcT4CMQAAAACUGCcclonF5KmqUlcmJxCzynQeAjEAAAAAlBg7HJEdi8lTWamODD3EgyEQAwAAAEAJMbYtJxaVkilZlZV5PcTTfA1FrGziIRADAAAAQAlxIhE5sZisYFAp2ep1YpIkr7yq91YXubqJhUAMAAAAACXEDu8LxJWV6spZUKvRVyePRQTMxacBAAAAACXEiYTlxBPyVFaqM2/+cF0Rq5qYfMUuAAAAAABwaBhj5EQiMvGYPLNmqSOeu8L08POHjTHqvO02+aZNlbemRsFly2RZ1liWXFQEYgAAAAAoEU40JicWk7w+WT7fiHuI03v2KL5xoyQpuv4F1Z55puT1jlm9xcaQaQAAAAAoEU4kLDsWl6eyUpLyAnEhK0wntm51jyuOPFJWCYdhiUAMAAAAACXDCYezw6WrqiTpgB7i4fcgTm7Z4h5Xrl516AucYAjEAAAAAFAisitMx2Xt6yHuGEEgNpmMEu++67YrVxGIAQAAAACTgJNMyonHJMeRJxiUpLxtl6YNE4hTO3bIJBKSJE99vXyzZo1dsRNE0QOxZVmnWZZ1r2VZrZZlJS3LarYs63HLss4pdm0AAAAAMFk44XB2/+F9w6Wl/B7iRu/QgTh3/nBwyeKSXl26T1FXmbYs6+eS/lHSbkkPSOqQNF3SWkmnSHqkaMUBAAAAwCRih8MyOQtqOcZRV6bXPT/ckOlEzvzhwOIlY1PkBFO0QGxZ1teVDcO3S/pbY0zqgPP+ohQGAAAAAJOQEw7Ljsflr88G35AdlS1bklTrqVLQM3jEcpJJJT/4wG0Hliwe22IniKIMmbYsKyjpp5J2aYAwLEnGmPS4FwYAAAAAk5CTSsmORGRSKVkVFZKkjkyPe3643uHkX/4i2dnw7Js9W96amrErdgIpVg/xGcoOjb5RkmNZ1rmSjpSUkLTBGPNyIQ+xLGvTIKeWHZIqAQAAAGAScHp75cRi8lRWunN/cxfUGslw6Ypl5ROnihWIj933e0LSa8qGYZdlWc9L+qwxpn28CwMAAACAycbuDctEY/JUV7uvjWTLpbwFtY444tAXOEEVa5XpGft+/0dJRtJJkmolrZL0hKRPSLpruIcYY9YO9EvSu8PdCwAAAAClwgn3yo7H5MlZYbozU9iWS3Zvr9K7dmUbXq+CS5eOWZ0TTbECcd/7ZiSdb4x5wRgTMca8JekCZVedPtmyrOOLVB8AAAAATAru/OF0xp0/LOUH4qlDbLmUeOcd9zi4eLE8Oc8odcUKxH2zu18zxnyYe8IYE5P0+L7muvEsCgAAAAAmGycU6jd/WDogEPsaBr0/d/5wcOXKsSlygipWIP7Lvt97Bjnfve/3ynGoBQAAAAAmLTsczgbinOHS0oGBuG7Q+3PnD1esWHHoC5zAihWIn1J27vAKy7IGqqFvka0d41cSAAAAAEw+7grTOQtqSfmLak0bpIc409Ymuz27lrEVDCq4ZMnYFToBFSUQG2N2SnpQ0nxJ3849Z1nWmZLOUrb3+LHxrw4AAAAAJgcnmZQdjcpkbFnBYN65zpxtlxoH6SHOGy69bJksX7E2IiqOYn6135B0jKQb9u1D/JqkRZI+I8mW9DVjTGiI+wEAAACgrNmhkJxodrh07vzhuJNUzElIkgKWT3We6gHvz9t/uMyGS0tFDMTGmN2WZa2VdI2k85XdaqlX2Z7jfzLGbChWbQAAAAAwGTiDzB9uTXe6x9N8DXlhuY9xnLKePywVt4dYxph2Sd/c9wsAAAAAMAJ2b6+cWFT+xsa811vSHe7xbP+0Ae9Nbd8uJxqVJHkbGuSfN2/sCp2girWoFgAAAADgIDiJhJxYTLIdWYFA3rk96Xb3eLZ/+oD3x9980z2uOOqoAXuRSx2BGAAAAAAmITvUKycalXXA/GFJak7l9hAPHIgTOYG4ctWqsSlygiMQAwAAAMAk5IR7B5w/LEnNuUOmA/2HTNuhkFI79u1y6/GoYuXKMatzIiMQAwAAAMAkJ3rtFQAAIABJREFUZPeGsytMV/dfQbolb8h0/0Acf+st9zh42GEDPqMcEIgBAAAAYJJxYjE5sahkjDwH7D9sjNGe9NBDpnOHS1eU6XBpiUAMAAAAAJOO3dsrOxodcLh0rxNV1IlLkiqsgKZ4a/POG8dR4u233Xa5zh+WCMQAAAAAMOnYoV6ZaHSQ4dL5Wy4duOBWv+2W5s8f22InMAIxAAAAAEwixnFk94bkDBKI96Ry5g8H+g+Xjr/xhntcsWpVWW631IdADAAAAACTiBPOLqYln1+W39/vfPMBPcQHYrul/QjEAAAAADCJ2L29ciKRQVeGbh5iQS07FFLqww+zDY9HFStWjFWZkwKBGAAAAAAmEbsnJDsakbemZsDzzUNsuZS33dLSpWW73VIfAjEAAAAATBImlZIdDsskk7IqKwe8pjk1eA8x2y3lIxADAAAAwCRhh0JyYlF5KqtkefrHOcc4as10uu3Zgf09xMa22W7pAARiAAAAAJgksvOHo/IMMly6I9OjtMlIkhq8NaryVLjn+m23NG/e2Bc8wRGIAQAAAGASMMZke4gH2W5JkvbkzR/OHy7Ndkv9EYgBAAAAYBJwojG3h9cTDA54zVBbLsU3b3aPK1evHoMKJx8CMQAAAABMAk6oR3Zk8N5hafAFtdJ79yq9Z48kyfL7VXHUUWNX6CRCIAYAAACAScDu7ZUTHXz/YemALZdyFtSKv/aaexxcuXLQHuZyQyAGAAAAgAnOZDKye3tl4vFhAvHAPcS5w6WrjjlmbIqchAjEAAAAADDB2eGwnGhUViAoy+sd9LqB5hDb4bCS772XfdGyVEkgdhGIAQAAAGCCc4ZZXVqSkk5a7ZluSZJHlpr8jZL2rS5tjCQpsGSJvPX1Y1/wJEEgBgAAAIAJzg6FZEcH339YklrTne7xDN8U+SyfpAOGS69ZM3ZFTkIEYgAAAACYwJx4XHY4LKUzsioqBr0uf0Gt7PxhJ5VS4q233NcrCcR5CMQAAAAAMIHZ3d2yIxF5ampkWdag1w00fzi5datMKiVJ8s2aJf+sWWNb7CRDIAYAAACACczu6ZGzLxAPJa+HeN8K07Gc4dIsptUfgRgAAAAAJiiTTme3W4oNvd2S1H/LJeM4ir/+uvsa84f7IxADAAAAwATVt5iWVVk55HZLktScyh8yndq+XU4oJEny1NUpsGTJmNY6GRGIAQAAAGCCsru75YTDww6Xlg5cVGta3urSlUcfLctD/DsQnwgAAAAATEDGcZTp6ZETico7TCAO2zGFnZgkKWj5NdVbnz9/mOHSAyIQAwAAAMAE5ITDcqIxyeuVFQgMeW1u7/As/zRlWlqUaWmRJFmBgCpWrhzTWicrAjEAAAAATEB2d7ecSHjY3mGp/5ZLsQ0b3HbFqlXyDBOoyxWBGAAAAAAmILunJ7v/cG3tsNc2p/K3XIpt3Oi2q9atG5P6SgGBGAAAAAAmGCcWkx2JSOmMrIqKYa/P7SFe0u1XevduSdnh0pWrV49ZnZMdgRgAAAAAJhi3d7imRpZlDXv97nSbe7zorU73uGLVKnkKCNTlikAMAAAAABNMprtbTjhS0HZLkrQ92eweT3lth3vMcOmh+YpdAAAAAABgP5NKyQ71yiTi8tTMHfb6sB1Te6ZbkrSg0yOrea+k0Q+Xrn3+M9mDLZKuDY34/smEHmIAAAAAmEDsUEhOLCqrolKWZ/jItj25xz0+670q95jh0sMjEAMAAADABJLp6pYTDhc8XHpHav9w6TXvpNxjhksPj0AMAAAAABOEyWRkh3rkRCLy1tUVdE9fD/GcDqPGvTFJkuX3s7p0AQjEAAAAADBB2D09ssNhWcEKWb7ClnzqW1DruHeN+1rF6tUMly4AgRgAAAAAJgi7e99w6dragu/p6yE+/l3HfY3h0oUhEAMAAADABGBsW5nuHjnhsLwFBuKQHVGX3as5HUbz27OvMVy6cARiAAAAAJgA7FBITjgsKxCU5fcXdE9f7zDDpUeHQAwAAAAAE4Dd1SV7hMOltyX3SMbohK0Mlx4NAjEAAAAAFFl2uHS3nEjhw6UlaUeyWYtapbmd2bZVUaHKo48eoypLD4EYAAAAAIrM7u3NDpf2+WUFAgXftz3ZrE9s2d87XLlmjTzB4FiUWJIIxAAAAABQZO5w6QL3HpYkY4w+TOzWCVv3zx+u/qu/GovyShaBGAAAAACKyDiOMl1dcsKREc0f7rJ7NW9bWA3RbNtTX6+KFSvGqMrSRCAGAAAAgCKyQyE5kYjk88kzguHSO5LNOmlLTu/wccfJ8nrHosSSRSAGAAAAgCKyu7vl9I5sMS1J+rB3pz7+F4ZLHwwCMQAAAAAUiXEc2d3dsiMj225JktKvv6mKdPY4NrNO/gULxqDC0kYgBgAAAIAisUMh2eGw5PGOeHXomZs+dI/T61bJsqxDXF3pIxADAAAAQJHYnZ2yQyF56+tHdF+mp0eLPoi67eknnHqoSysLBGIAAAAAKAJj28p0dcsJj3z+cPvLz8q7b/rwe/O8mtm0ZAwqLH0EYgAAAAAoguzew72yAkFZI1hdWpKir7ziHr9/9DSGS48SgRgAAAAAiiDT1SUn1CtPXd2I7ku3tirwYUv2GR4peszSsSivLBCIAQAAAGCcmVQqu91SJDLi4dLR5593j19bYmnulIWHuLryQSAGAAAAgHGW6eqS3dsrq6pKls9X8H3GthV98UW3/fRqS4uCs8eixLJAIAYAAACAcZbp6JTd2zvi1aXjb74pu6dHktRdne0hXhKcMxYllgUCMQAAAACMIyeRkB3qkROPy1NTM6J7c4dLP3+UpRpftaZ6RxaqsR+BGAAAAADGUbZ3OCxvTa0sT+GRzO7pUfz1193206s8WhScwwrTB4FADAAAAADjyO7skB0KjXh16ehLL0mOI0l6Z67UMtXS4RXzx6LEskEgBgAAAIBxYkcisnvDUiYjT3V1wfcZYxTJGS799OpslFtZsfiQ11hOCMQAAAAAME7szk63d3gkQ51T77+vTEt27+FEQHplWfbeFZWLxqTOckEgBgAAAIBxYBxHmc5O2b0heUc4XDq3d/jF5ZaSAUt1nmrN88841GWWFQIxAAAAAIwDu6dHdigkWR55KisLvs+JxxXbsMFt9w2XXlG5iAW1DhKBGAAAAADGQaa9XXZPj7wNDSO6L7Zhg0wyKUkKzazW+7Ozr6+sYLj0wSIQAwAAAMAYc1Ip2V1dcsKRgxou/crRVdK+XuGVlSyodbAIxAAAAAAwxuz2dmVCvbKqq2X5fAXfl9q5U6kPPsg2vF7du6zXPbdiDHqI94aT+e+fcQ75e0wkBGIAAAAAGEPGGGU6OkY1XDr81FPucXrNcnVV2ZKkOf7pavDVHtI6JenZ7T157YCvtCNjaX91AAAAAFBkTjgsu6dHsu0R7T3sRKOKvfyy237v+Dnu8VgMlzaplJ5vzxzy505kBGIAAAAAGEOZ9nbZoZC89fUjWhU6+uKLMqmUJMk/d67+3BRxz43Fglqxtg79ORo45M+dyAjEAAAAADBGTCazb+/hXnnq6wu/zxiFn37abdecfrq2Jj902ysqD20gdpJJbWxPKl7aU4b7IRADAAAAwBjJdHbJDoVkBSvkCRTe+5p85x1lWlokSVZFhZx1q7QrtVeS5JNXhwcXHNI67Y4OvZCqOaTPnAwIxAAAAAAwRnKHS49E7mJa1SeeqHdMi9teWjFPQY//kNXoJBKyozG9ECq/eFh+XzEAAAAAjAMnGpXd0y0nnpCntvAVoTNdXYpv3uy2a087TVsTO9z2od5uKdPero+qGvVRtMzGS4tADAAAAABjIt3WJrsnJG9dnSxP4dEr8uyzkpMNp8Hly+WfPVtb4tvd84dyhWknFpNJJvViouqQPXMyIRADAAAAwCFmMpn9ew9PmTKi+yLPPuu2a087TcaYvB7ilRWHLhBn2trkmz5dz3cdskdOKhMmEFuWdallWWbfr68Vux4AAAAAGK1MZ6fsnh5ZgYA8wWDB98U2bZITCkmSvA0NqjzmGLWkO9RthyVJNZ5KzQvMOCQ12uGwjDGK1zVqU0v0kDxzspkQgdiyrHmS/k1SZLhrAQAAAGCiy+zdO+LeYUkKP/GEe1x9yimyfD5tSewfLr2iYpE81sHHOGOMMm1t8k+frj+nq5RxjCTpqDkjW/xrsit6ILayO1PfJqlT0i+LXA4AAAAAHBQ7FJLd0yOTSo9oMa3kBx8o9cEH2YbPp9pTT5UkbYnnDJc+RPOHnVBIlt8v37SperY56b5+6rJD0/s8WfiKXYCkb0n6pKRT9v0OAAAAAMXx0r9Kz14vpUY/eNUryd3R9/3C7+t+cYqkSklS/bxe1b38OUnSu7NmShXZYddrttym6vgto66tny3SDZJuqNjXfvHQPXoyKGogtixruaTrJd1kjHnesqwRBWLLsjYNcmrZQRcHAAAAoPwcZBgerVTEq/DuCrfdeES2hrhlaUsw4L5+VDLZ794xE6gZ/ppJrmhDpi3L8kn6vaRdkn5YrDoAAAAAwFWEMCxJ3e9VS8aSJFU3JVTRkJEkvRYMKm1lX1+SSmmqM057BQdqpFN+MD7vVUTF7CG+RtIxkk40xsRH8wBjzNqBXt/Xc7zmIGoDAAAAUO6uDY3ocuM4ir/+hhJ/eVf+mU3yVFcXdJ8Ti6n7vu9KSkiSqi69WtGjjpIkrW+7S+p6TJK0ZubZiq760ohqOlB6715Zxii47AhVHHGEzr5pvd5p6ZUk3XLJGp1z1KyDev5kU5QeYsuyPq5sr/A/G2NeLkYNAAAAAHAo2d3dsnu6JVkFh2FJijz3nEwiG4b9s2er4sgj3XOvxt5xj4+tWn5Q9TnJpJzekLzTpykwd662tUfcMBzweXTS0mkH9fzJaNwD8b6h0v9X0nuSfjTe7w8AAAAAY2E0Wy0Z287baqn2r/9a1r4h0iE7or8kdkmSPLK0puqIg6uvvV3eqVPlb5olT3W1HnqjxT136hHTVVvhP6jnT0bF6CGukXS4pOWSEpZlmb5fkn6875pb9712YxHqAwAAAIARsSNRZbq6ZEdj8tYXvpdv7NVXZXd1SZI8tbWqPv5499ym6Lsyyu4PvLxikWq8VaOuz4lGZRIJ+aZOU2DuHBlj9MAbe9zz562ePepnT2bFmEOclPTbQc6tUXZe8QuS/iKJ4dQAAAAAJrxMa4vsri556+tleQrrdzTGKPzYY2679rTTZAX2ryidO1z6Y9WjHy5tjFG6rU2+GdMVmDNbViCgd1p6ta09KkmqCnj1yTLbf7jPuAfifQtofW2gc5ZlXatsIL7dGPOb8awLAAAAAEbDSSaVaW+XHQopsGhxwfcl331Xqe3bsw2/XzWnnZZ3PjcQr6taMfr6QiFZHku+adPka2qSJD34RrN7/vTlM1UVKOqOvEVTtG2XAAAAAKAUZFpblenpkaemVpa/8Hm4vQ8+6B7XnHCCvHV1bntvuku7UnslSUHLryMrl4yqNuM4ynR0yDdjpgLz5snyemWM0YNv7g/E5TpcWiIQAwAAAMComUxG6ba27HDpxsaC70tu26bEli3ZhmWp7txz885vjG51j1dVLlXQM7oFr+zOTnkqK+WbNk3eqVMlSa9/1KOPurI739ZW+PSJw8tvdek+EyoQG2OuNcZYDJcGAAAAMBlk2ttld/fICgTlqago+L7ehx5yj6uOO06+GflzePO2Wxrl/GGTTsvu6c7OHV4w3129+sGc1aX/emWTgj7vqJ5fCiZUIAYAAACAycI4jtKtrcqMsHc4tXu34ps3u+26T30q/7nGaGM0d//h0c0fzrS1ydswRf6ZM+WtrZUk2Y7RQznDpc8/unyHS0sEYgAAAAAYFburS3Z3t2SMvDU1Bd+X2ztcuWaNAnPn5p3/MNWiTjskSar1VOnwivkjrs2JxeTEY/JNnyb//P33b/ywS23hpCRpanVAxy+eOuJnlxICMQAAAACMQrol2zvsG0HvcHrvXsVeecVtH9g7LCmvd3ht1TJ5rZHFNmOM0nv3yjdjhvxz5soTDLrncleXPueoWfJ5yzsSlvdXDwAAAACjYIdCsru7ZBJJeXJWhx5O78MPS8ZIkipWrlRwSf/VozfG9i+oNZr9h+2eHllej/zTp8s/q8l9PW07evTtVrddzqtL9yEQAwAAAMAIpVtasnOHp0yR5SksVmW6uhR94QW3XXfeef2vMbY2x/7itkc6f9hkMrI72uWfMUP++fNlefcvmPXiBx3qiqYkSU11FfrYgikjenYpIhADAAAAwAjYkYgyHR2yw2F5pxQeKsOPPirZtiQpcNhhCi5b1u+adxM7FXWyWyJN903R/MDMEdWW6eiQt7ZOvhkz+g3lvmvTbvf4U6tmyeOxRvTsUkQgBgAAAIARSO9pVqazU74pjXk9sEPJdHUp8swzbrv+vPPcbZBybYhucY+PrVo+4DWDcZJJOZGwfNOnK7BgQd65jkhST2zZP1z6cx+bV/BzSxmBGAAAAAAKZEeiynS0yxlh73DvQw/JpNOSpMCiRapYvXrA654Lv+Yef7x65Yhqy7S2yjt1mvyzZ8lTVZV37u5Nu5W2s3OX18xv0BFNtSN6dqkiEAMAAABAgdLNe2R3dspTVy/L5yvonkxHhyLPPuu26y+4YMCe35Z0h/6S3ClJ8smrE2pWFVyX3dMj4zjZbZYO2MbJGKM7Nuxy219cN/JtnEoVgRgAAAAACuBEo8q0t8sOheSbWvj+vaEHHsibO1yxauCg+3xO7/DHqperxls14HUHMratTHub/E1NCs6f3y+ov7y9Ux92xiRJtRU+fWoVq0v3IRADAAAAQAHSLS2yu7pG1Duc3rtX0fXr3XbDRRcNOi/42ZxAfErtmoLryrS3y1tbJ/+M6fJNn97v/B0bPnKPLzhmjioDhc17LgcEYgAAAAAYhhOPK93WNuLe4d7775ccR5IUXLZMFSsG3kapOxPWG/H3JEmWLJ1Uc3TBdTnhsHwzpiuwcGG/852RpB7P2Xv44mMZLp2LQAwAAAAAw0g3N8vu6pantk6W31/wPdGXXnLb9RddNOi1L0Rel6PsoldHVS7RVF/9sM83xijT2irfjBnyz53bbyEtSbpn8x6l7GwgP3peg1bMriuo9nJBIAYAAACAITiJhDJtbbJ7uvvt7TuU0H33SSYbciuOPFIVhx8+6LXPhje7xyfXFDZc2u7ulrye7EJas/vPCz5wMa0vsZhWPwRiAAAAABhCevduZTq75KmplRUIFHRPatcuxTZscNv1F1446LVRO64Nsa1uu5D5wyaTUaajQ/6mJgUWLhxwP+Q/7+jS9o6oJKkm6NOnVs8qqPZyQiAGAAAAgEE40ajSe/dme4dHMHe453/+x+0drjz6aAWXLBn02pejbyttMpKkpcF5mhPovzDWgdKtrfJNmSLfjJnyDbIfcm7v8KePnq2qQGELgZUTAjEAAAAADCK1O2ff4QJ7hxNbtijx1lvZhmWp/rOfHfL653KHS9ceM+zz7XBYJpWUb8YMBRYuGPCa9nBSj761fzEt9h4eGIEYAAAAAAZgh8PKtLfJ7u0tuHfYOI6677zTbVefdJIC8+YNen3KSevF6Jtue7j5w8a2ldm7NztUev48eYLBAa/7vy9/6C6mtXpuvY6cM/wiXeWIQAwAAAAAA0jv3q1MR4e8DVMK3nc49vLLSu/cKUmyAgHVX3DBkNe/GntHMSchSZrrn6HDgnOHvD7T3i5PdbV802fIN3PmwDWkMvr9Kzvd9tc/sbig2ssRgRgAAAAABpDp6JATichb4MrSJpVSz913u+3as84adlXqZw8YLm1Z1qDXOrGYnHBY/pkzFFy0cNBr73p1t3piaUnSvMZK/fXKpoLqL0cEYgAAAAAYQKa9Xd7GqQOu4DyQ8JNPyu7slCR5amtVd+65Q15vG0frI6+77aGGSxvHyS6k1TRT/nnz5KmuHrhm29FvXtjutr924mL5vMS+wfDJAAAAAMAAnFhc3kFWcD6QHYko9OCDbrv+M5+Rp7JyyHtejW1Vtx2WJE311uvIysGHNtudnbICfvmnTx9wz+E+j21p1UddcUlSQ5Vfn/vY0EOwyx2BGAAAAAAG4J02TZansMjUe//9MrGYJMk3c6ZqTjll2Hse6nnRPT6jbp081sDv5SSTsnu6swtpLVo0aE3GGP36+f29w18+bgFbLQ2DQAwAAAAAA/A2NBR0Xbq5WeGnnnLbDZ///LCLcIXtmJ6L7J8/fG79CQNeZ4xRprlZ3n09w966ukGf+ecdXXpzd0iSFPB5dNnxCwuqv5wRiAEAAABAkkmn89pDLXDl3mOMuv/7vyXbliQFDz9clWvXDnvf//ZuUMpkJElHBBdoacXAWzPZnZ2Sz6vAzJkKzB96L+Hc3uGL1szV9NqBt2TCfgRiAAAAAFC2p3ek4q+/rsRbb2UblqUpl15aUJB+OLR/uPSnGgbuHXaSSdndXfLPmpUdKj3E4l7v7w3r6Xfb+srQ109aNIKvonwRiAEAAACUPSceH3EgNqmUev7wB7ddc8opCixYMOx9O5LN2pLI9ub6LZ/OrPt4/2cfOFS6vn7IZ/7Hc9vc4zOWz9Ti6TWFfhlljUAMAAAAoOyldn2kTEfHiO7pffxxZdrbJUme6mrVX3RRQffl9g6fVLNa9d7+4XUkQ6U/aAvrvtf2uO2/O3nw1aqRj0AMAAAAoKzZoZAybW2yQ6GC78l0dan3gQfcdv2FF8pbWzv8fcbWo6GX3fZAi2mNZKi0JP3Lk+/LMdnjTxw+XWsXNBb4VYBADAAAAKBsGWOU2rVL6ba98jZOLfi+njvvlEmlJEn+uXNVc+qpBd335+jb6rSzwXuqt14frz4yvx7HUbq5Wb4ZMwoaKr2lOaSH32xx21edcXjBXwMIxAAAAADKWKatXZmODplEUt4pUwq6J/Huu4q98orbnnLppcP24vbJHS791/XHy2fl32d3dMjy++QvYKi0JN3wxHvu8ZkrZmr1vMK2ikIWgRgAAABAWTKplFIf7VJ67175ZsyQ5Rk+HplMRt233+62q9atU8Xy5QW9X8iOaH3kDbf9qQOGSzvRqOxQSIFZsxVYsmTYkL15V7eeyllZ+soz6R0eKQIxAAAAgLKU2r1bmfZ2WV6fvHV1Bd3T+8gj7mrUVjCohosvLvj9nuj9s9L79h5eUbFIi4Kz3XPGtpVuaZFvVpP88+fJWzP8KtH//MRf3OPzVs3WsqbCvgbsRyAGAAAAUHbs3l6lW1pkd3bK19RU0D3p1laFchfSuugi+aYWNu/YGKP7ep5z25+qPzHvfGbvXnlqquWf2ST/nDnDPu+lbR168YNOSZLXY+m7zB0eFQIxAAAAgLJijFFq505l9u6Vt2GKPIFAQfd03X67lE5LkgILF6r2jDMKfs8Nsa3alsxujVRpBXVG3Tr3nN3bKycRl7+pScEli2VZ1rC1/HPO3OHPrpmrRdOqC64F+xGIAQAAAJSVTGurMm3tchJJeQvs4Y299JKSW7dmG5alxiuuKGjOcZ87up5wjz/VcKJqvVWSJJNOK7O3Vf5ZsxVYuFCeysphn/XE1r3atLNbkuT3WvrmaYcVXAfyEYgBAAAAlA0nlVLqo91K722Vb+bMgkKtHYmo+4473HbtmWcqsHBhwe+5I9msV6JvS5IsWfrClNMlZXt6083N8k6ZIv+sJvlnzhz2WYm0rf/v4a1u+5KPL9DcKVUF14J8BGIAAAAAZSO9c6cybW2yghUFLVwlST1//KOccFiS5G1sVP2FF47oPe/sftI9PqlmteYGZkiS7M5OybLkmzVLwUWLCnrWb1/YoY+64pKkhiq/vn3a0hHVgnwEYgAAAABlIdPVpXRrq+ye7oJ6YyUp/vbbiq5f77anXHaZPBUVBb9nTyasR0Mvue0vNp4pSXJisWwds2epYskSWQXMY24JxfVvT3/gtq8643BNqR7+PgyOQAwAAACg5Jl0WskPP1S6pUXeqdNk+f3D3uPE4+r67W/dduXHPqaqY44Z0fve2/Ockia7ENcRwQU6uvJwmUxG6eZm+ZqaFJg/X976+oKedf2j7yqetiVJy5pq9cV180dUC/ojEAMAAAAoeamPPlJmb5skS94pUwq6p/uOO2R3dUmSPDU1arzsshG9Z9pkdHfP02774sYzZFmW0q2t8tbWyN/UJP/cuQU9a+OHXbr/9Wa3fe35K+XzEucOFp8gAAAAgJJm9/Qo3dwsu7NDvqamYbc1kqRIS1DR5/bvGzzlsssK7snt82TvBnVkQpKkab56nV53rDLd3TLpdHbe8GGHFVSL7Rhd+8AWt33uqlk6bnFhq2NjaARiAAAAACXLZDJK7tihdEurvI1T5QkGh73HTllq2dDgtis/9jFVrVs3xB0DvK8xuqPrf932ZxtOkzeRlt3RocCcOQouXlxQLZJ058aPtKW5V5JU4ffoh+csH1EtGByBGAAAAEDJSn30kdJtbZJty9vYWNA9e1+vUybulSR5amvV+JWvFNSTm+vV2Dt6L7lLkhS0AvpM3YlK79kjX9NM+efOka/A/Y/bwgn97LF33fbfn3yY5jQMv1cxCkMgBgAAAFCS7N7e7FDp9nb5Zs8ueKh0aHu122687DJ56+pG9L7GGN3acb/bPqf+r1TVFt43b3iWAgsWFPysH9+/RaF4dlGuuVMq9XcnLx5RLRgagRgAAABAyTGZjFLbt2dXlW6YUthQ6XBYzX/eP1S6at26EQ+VlqQ/R7fozXh2eySfvLrEc7xMJi3f7NkKLj1MlqewGPbIWy169O1Wt339hatU4feOuB4MjkAMAAAAoOSkdu5UqrVVytjyTps27PXGGHX99reyE9nA6Q3amvLlL4/4fY0x+nXHfW77/JrjNb3XKDB3roJLlhQ8b7g7mtI197/tti8+dp5OXDr814GRIRADAAAAKCmZzs7sUOmOjsLyuwp9AAAgAElEQVSHSj/zjOKvvea2Z3+8Z8RDpSXphcgb2prYIUkKWD59Kb46O0x6/nz5CtzuSZJ+8tBWdURSkqSZdUH98FwW0hoLBGIAAAAAJcNJpZTcsUOpPc3yTpteUI9surlZPXfc4banHB5RzezkyN/bOLo1p3f40561amqYJ//sWQXvNyxJz7zbpnte2+O2f/qZo1RX4R9xPRgegRgAAABASTDGKLVtmzKtrbJ8voJ6ZE06rY7/+A+ZVLY3Nlif1ozVvaN6/2fDm/Ve8iNJUoX8uiR4kvxzZiu4ZEnBq1SHE2n98N633Panj56t01fMHFU9GB6BGAAAAEBJyLS2Kr13r+xQSP5Zswq6p+dPf1J6V3Z7JPn9mn18tzyjWLfKNo5+k7Oy9AWetWqav0zBpUtlBQIFP+fH929RSyghSZpaHdCPz1s58mJQMAIxAAAAgEnPiUaV2rlT6T3N8jXNkuXzDXtP/M03FX7sMbc95QtfUEVDZlTv/1R4o7anmiVJlQrosnkXKrh4sbw1NQU/457Nu/OGSl/36ZVqrC48TGPkCMQAAAAAJjWTySj5wQdKN7fIU1NTUAjNdHaq81e/ctsVq1ap5vTTR/X+aZPRr9v3zx3+fO0pmrHw/2fvvqPsuuq7/79Pvb1M16hLtix3ywZsDAY72I4xSTDEP1NCCWBMCT2E5HkIBB6SQNYPQ+IFifkRAiQO5qGFkoAxpheDwb2qt+l97sxtp+7fH+e2kUajmZEsjezva62zztn7lLvvdVn6aO+z91mYXV2Lfsa+8RIf/FZzVunrL1rLH56/elntEYsngVgIIYQQQghxSnP37cMdGiJ0Xczu7qNer3yf8X/+Z8JiEQAjn6fjppsW/Z7vob4y+UP6vVEA0lqc157+cqwNGxbffj/knV9+gJIbALCpM8VHrpOh0ieCBGIhhBBCCCHEKcsbGcEdiJZYstasQdOPHnGmv/IV3D17ooKu0/G2ty1riSWAMW+Kz098p1G+qfd6us7ctqRwffMPdvDIQAEAy9D41CsvJBU7+pBvcewkEAshhBBCCCFOSUGxhLt3L97gAGbPKvRFTF5VvvdeZn/wg0Y5f8MNxM84Y9lt+Jexb1AOoyWaNsdW86pnv3VJk2j9dMcon/353kb5r154JueuyS27PWJpJBALIYQQQgghTjnK93F378IbGkJPpRfVw+uNjDDxuc81yolt28hce+2y2/BweTd3zPy6Uf7Li95HLLP4MDs4XeG9X32oUf69rV3ceNmmZbdHLJ0EYiGEEEIIIcQpRSmFs3cv7tAwyvUW9d5w6DiMf/rTqEoFAKOzk443vWnZ7w0HKuSTw19qlK/svoznnrH4SbmqXsCbb7uPiVK0/nFXJsbHb7hg2e0RyyOBWAghhBBCCHFK8QYG8QYHCSbGMRfx3rBSisl/+7fmesOmSefb346eSi27Df89+TO2u9HzYrrN+573gUXfq5Ti/d98pPHesKlH7w13pmPLbo9YHgnEQgghhBBCiFOGPzWFe2B/tN5w7+pFvTc8893vUr7nnka5/dWvJrZp+UOTC94st479V6P8+nPfwJr0mkXf/4Vf7ee/7m+uN/w3f3Q2z97csez2iOWTQCyEEEIIIYQ4JYTlMs6u3bh9/RhtbYtab7jy4IMUvv71Rjn9gheQ/r3fW3YblFJ8+sB/UKAMwOpULzeed+Oi77979zh//70nGuWXPXMtr3n24pdoEseXBGIhhBBCCCHEiqd8H2fXLryBfnTbxuw4eo+qNzTE+Gc+A0oBENu6lbZXveqY2vHrvl/y3/79jfJfPOt9xM34ou7tmyzzttvvJwij9mxbl+cj150r7w2fRBKIhRBCCCGEECuaUgpnzx7cwSFCx8Xs7T3qPWG5zNgttzQn0Wpvp/Ptb0czl7++b2G0n38oN4dKX7X+Kq5av7iJtApljzd88XdMlT0gmkTrM69+BnHLWHZ7xLGTQCyEEEIIIYRY0byDB/EGBggmxrEXM4mW7zP+6U/jDw0BoNk2Xe9616KWZjqSYHqaT019k1FmAMjH8vz1s/96Ub27VS/gpv+4l12jRQAsQ+Mzr76IVbnF9SyLJ48EYiGEEEIIIcSK5Y2M4B48iDc4iLV6DdpRJtFSSjH5H/9B9bHHGnXtb3gD9saNy25DUCzy69F7+B/1YKPu/Ze8n85E51HvDUPFe7/6EL/dP9mou/mGC3jGhvZlt0ccPxKIhRBCCCGEECuSPzWFu2cP7sE+zO6eRS2TNPu971H62c8a5exLXkLq0kuX3YawXKYwuJ+Pa3c16q5afxUv3PjCRd3/d999gu8+MtQo/+9rz+S6bYufkVo8uSQQCyGEEEIIIVacoFjC2bUbp68PI5fDyOWOek/pnnuY/upXG+Xkc55D7iUvWXYbQsfB7e/nM4nfMBJMAUsbKv25X+zl87/a1yi/7jkbedPzNy+7PeL4k0AshBBCCCGEWFFC16W6cwdu30F0O4bZ1XXUe5xdu5j4139tlGNnnknHG95wTDM4e30HuTs3wndKv27U/fUlf72oodJfu7ePv/tuc3mlF56zig/+4dkyo/QKI4FYCCGEEEIIsWIo38fZsQN/YACCEHPVqqPe4w0NMXbLLeBFMzibvb10vuMdaJZ1TG0ZzsFHZ5o9zldvuJprNl5z1Pu+/eAAf/mNhxvlZ25o459esQ1DlzC80kggFkIIIYQQQqwIKghwdu7E7R8gmC1irV171Bml/clJRj/+ccLZWQD0TIau97wHI50+pra4wIcqX6EYlAFYnVrNhy790FF7eL/3yBB//tWH6ksfc3Zvls/96TNleaUVavmLcAkhhBBCCCHEcaKUwtm9G7e/n2ByEnvDBjRj4RAZFIuMffzjBBMTQG15pXe/G6unZ8515r6vYe+6DS2oLLo9n2hvY3s5ev/X1E1uvvxmcrGF32O+6/ER3vnlBwjCKA2f0ZPmP994CfnkwjNji5NHeoiFEEIIIYQQJ5VSCnfvXtz+fvzRUax164463Dl0HMY++Um8wcGowjDofMc7iJ1++mHXLjUM/yCZ4PZcplF+7zPey3ld5y14z092jPK2L92PXwvDm7tSfOmNz6Y9JWF4JZMeYiGEEEIIIcRJ5R04gHvwIP7QENbadeix2ILXK99n/FOfwt2zp1HXcdNNJM4/f97rlxKG+0yTD3V1NMpXrr+SV531qgXv+f6jQ7zzyw/iBiEAGzqS3P7GZ9OVWfh7iJNPArEQQgghhBDipHH7+3EPHMAbGMRavQY9kVjwehUETHz2s1QfeaRR1/bqVy96reHStXfNKaswxOvvRzMN3LXdvGvgZoqF3QCsSa/hI8/9yILvDX/9vn7+8usPUesYZk0+we03PZtVufii2iNOLhkyLYQQQgghhDgp3P6B2lDpAcyeHvRUasHrVRgy8bnPUb7nnkZd9rrryFx99bI+vxGGDQN93Vo+PHUbu2ph2NRNPnH5J8ja2SPe/+937+cvvtYMw5s7U3z1LZeyJr9wqBcrh/QQCyGEEEIIIU44b2AAd99e3L5+zO5ujOyRgydE4XXyC1+gfPfdjbr0VVeRe+lLl/X5rWHY2rCeTzt38ouhXzXOf/jSD3NO5znz36sU//LTPXz8zh2NurN6s/zHGy6WYdKnGAnEQgghhBBCiBPKGxzE2bsX98DBxYVhpZi67TZKP/95oy59xRW0vepVR10Gad7ntQyTtjZs4H+sx/nPR7/cOH/juTdy3enXzXtvECr+9n8e54t372/UXbg+zxdfdzG55LGteyxOvJMyZFrTtA5N096oado3NU3brWlaRdO0gqZpv9Q07UZN02QotxBCCCGEEE9B3tAQzp69uAcPYnZ1YeQWXspIKcX07bdT/PGPG3Wpyy6j7U//9KhrFM/7vDDE6+tDs0ysDRt4qG2Gjz1wc+P8leuv5J0XvXPee8uuz5tvu3dOGH7u6R38542XSBg+RZ2sHuIbgFuBIeAnwEGgB/hj4HPAtZqm3aBUfTlrIYQQQgghxKnOGxysheEDmJ1dGPn8gtcrpZj60pco3tWcCCt56aW033jjssIwEIVh28Jav56B1TZ/8ZP3E6gAgLPaz+Kjl30UfZ7+udHZKjd+8V4eGSg06v7gvF4+8bILiFsLr5csVq6TFYh3Ai8GvquUCuuVmqa9H/gtcD1ROP7GyWmeEEIIIYQQ4nhy+/tx9+2LeoYXE4bDkKl//3eKP/1poy75rGfRcdNNyw7DAFrMxl63nvF1Gd7ykzcx684C0J3o5lMv+BRJK3nYPTtHZnn9F37HwHRz+aa3XH4af3nNVnR96UO2xcpxUoYmK6V+rJT679YwXKsfBj5TK15xwhsmhBBCCCGEOO7cAwdw9+ypDZPuXlQYnvzc5+aG4YsvpuMtb0Ezjq03NrZxI4VNnbzp529nrDIGQMpK8akrP0VPquew6+96fIQ//pe7G2HY0DU++tLz+F/Xnilh+ClgJU6q5dX2/klthRBCCCGEEOKYKKVw9+3HPXgQr78Pc1UvRiaz8D2+z8RnPztnaaXkc55DxxvfuKwwHLrunHJ58yre+qM3M1AcACBmxPjUCz7F2R1nz70vVNzyo13c8qNdjbqUbfDPr7qIK7Z2L7kdYmVaUYFY0zQTeG2t+P1FXH/fEU6dedwaJYQQQgghhFgyFYbRGsN9fXgDA5i9qzHS6YXvcV3Gb72Vyv33N+pSl19O++tet6xh0qHj4PX1NcpFTePPfvZO9hT2AGBqJp+84pM8a9Wz5tw3U/X48688yA+fGG3UrW1L8NnXPJOzVy88I7Y4tayoQAz8A3Au8D2l1J0nuzFCCCGEEEKIpVO+j7N7N+7AAP7QENbqNeip1IL3hKUSY7fcgrOjubZv+qqroqWVlhOGy2Xc/n6snh7YFYXht63q4vGJxwHQ0Pjo8z7K89c+f859u0ZmefN/3sfesVKj7rmnd/DpV15EW8pecjvEyrZiArGmae8E3gtsB16zmHuUUs84wrPuAy46fq0TQgghhBBCLIZyXao7duIODBBMjGOtXYeeSCx4TzA9zejNN8/pzc286EXkX/ayZa0zHMzO4g8PYa9ejbVuLYXfaLy1p5tH4rHGNR+89INcu+naZruV4mv39vM333mUqtec6ujNz9/M+67ZimnIyrBPRSsiEGua9nbgFuBx4Eql1ORJbpIQQgghhBBiicJKBWfHDtz+AYKZGaz1G9DthXtVveFhRm++mWBsrFGXf/nLyb7oRctqgz81RTAxgbV2HfaG9RRXZXnLqh62x5rteN8z38cNZ9zQKM9WPT7wrUf59oODjbq4pfP//j8X8OILVi+rHeLUcNIDsaZp7wb+EXiUKAyPHuUWIYQQQgghxAoTFItUd+zA6+tHVavYGzagmQvHDXffPkY/+UnCmZmoQtdpv/FG0pddtqw2+GNjBDMF7PXrsTdtotBuc9OdN7KnJQx/4JIP8PIzX94oP9Jf4B1fvp/9E+VG3ZbuNJ/+k4vYumrhCcDEqe+kBmJN0/6K6L3hB4GrlVLjJ7M9QgghhBBCiKXzx8ejd4b7+wENa8OGo773W77/fiZuvRVVmwVas2063/Y2Etu2LfnzVRjiDw8TOg6xjRuxTz+d8WTATXe+ngMzBwDQleL/jE/ykloYDkLF//fzPfzjXTvxAtV41sufuY4Pv/gcEvaxLe8kTg0nLRBrmvZB4CPAfcDvyzBpIYQQQgghTi1KKbyBAdz9+3H7+9ETScyengXf+1VKMXvXXUzffjuoKIjqqRRd73kPsS1blt4G38cbGEAzDWKbNxHbsoVd4TBv+97bGusMG0rxsbEJri1FvcD7xku896sPcv/B6cZzUrbBR//4PK7btmbJbRCnrpMSiDVN+1OiMBwAvwDeOc9/NPuVUl88wU0TQgghhBBCLIIKgmhZpYEBvIEBjPYOzPb2o94zdfvtFH/4w0ad2dVF13vfi9Xbu+Q2hK6L19eHkUljrV1LbMsZ3D19P+/92Xup+JXo+brJzUNDXFmOyrf9ej8f/d52Kl7QeM4F6/Lc8vJtbOxceCZs8dRzsnqIN9X2BvDuI1zzM+CLJ6Q1QgghhBBCiEULXRdn5y68wUH80ZFFrTEcViqM33or1YceatTZp59O17vehZFd+tq+YbmMN9CP0dWFvXoNsa1n8I393+bvf/P3BCoKuxk7wy2/dwvP+sxVjfs++O3HGsemrvGuK7fw1itOk1mkn6ZOSiBWSn0Y+PDJ+GwhhBBCCCHE8gUzM1R37cIfGiIo1GaSjsUWvMcbHmbsllvwB5uzOCcvuYSON74R7ZBZqM19X8PedRtaUFlcg3ZDCHyqLcfn8rlG9WrP51/6d3Dajqvmve2MnjSffNk2zl2Tm/e8eHo46bNMCyGEEEIIIU4N3vAw7t59uAMDANgbNx51JunKww8zfuutqHJzFufsH/4hueuvn3firSWFYWBG1/jfXZ38PNlc6/gsx+VfRkbpDMI51xZVHF2Dm563mfdcfQZxSybOerqTQCyEEEIIIYRYkAqCaOKsvv7ofeFsFqOr6+iTZ91xB9Nf/Wpj8izNsmi/8UZSl156xPuWEoZ3Wxbv7unkgGU16p5XrnDz6DhJpeZcW1Rxvpz8E75103M5f21+0Z8hntokEAshhBBCCCGOKKxUcHbvxhsawh8dxexZddR3fsNKhckvfIHyPfc06oz2drre+U7sTZsWuHOu0rV3Rc+rVvH6+zFyWczVq4mfcQY/Gr+bD/zqA43JswBef84bWB2+lOfduYuJktuoj5k677n6DG68bBOWvCssWkggFkIIIYQQQszLHxvD2bcfb3CQsFxe1PvCbn8/45/+NP7QUKMutmULne94B0Zu6e/rBtPT+GOjmD09WKtXo2/eyD8+eiv//vi/N65JmAlu3Pq/+N49PTzU99ic+y87vZO/e8m5MoO0mJcEYiGEEEIIIUTk7k/BT/8B3CIQhYU5gWHnwrcX9icY+V0OFTR7YfOnlVi17Wdod/9syc3xhoYIK2XsDRuw1q5luE3jr350I49NNENvb2ot69238rGvG0BzXeHVuTgf/MOzeeG5qxYc2i2e3iQQCyGEEEIIISItYXgpwgBGHsgxvbvZC6sZIb3PLJDbtPh3glspPQZhQGzzZmKbN/P92Xv42+/+LWW/OTnXavtC9j18HTvd5uRYtqHz5ss389YrTiNpS9wRC5N/Q4QQQgghhBAopdCWEYadgsnA3W04hebEVnbGZ81zJ4nn/eW1RYtRXXsDsc2b8Tau5kOP/hPf2fOdxnkdE23qD9gxfAnQ7I3+/bN7eP+LzpLh0WLRJBALIYQQQgjxNBe6Lu6ePcRb6orX3Dnvskh1SilKP/0pU/91O8ptTmCVvPhi2t/wBoJEgtIS2qDCEH9sjHB2FmvNGqzeXu5LjvDhH76K4dJw4zrN72S27xWE1bWNuvPX5vjrF53FJZs7lvCJQkggFkIIIYQQ4mnNn5jA2bcPf3h4TiBeKAwHxSKTX/gClXvvbV5vWeRf+UrSL3jBkt/ZDV0Xf2AAzbaIbd6Eu7aLT/T9J9/4zTfmXOdNX0R15DoIo4m91uQT/OULt/JH569G1+U9YbF0EoiFEEIIIYR4GlKui3vgAN7QEO7gEJq5uGhQefRRJv/t3wgmJxt11po1dPzZn2GvXbvAnfMLCgX80RGMzk7sVau4LzPJR+75M4ZKzVmqQz+FM3wd/uz5AHSmbf7sitP5k0vWE7eMIz1aiKOSQCyEEEIIIcTTjD8xgbN/P/7wMMHUFGZXN0Y+D48e+Z7QcZj+ylco/uhHc+rTV15J/hWvQLftJbVBBQH+8DCh62CvW0ehM8EtY1/ijoe+P+c6b+ZcnOGXoII02bjJmy8/jdc9ZyOpmEQZcezk3yIhhBBCCCGeJpTrNoKwOziEZhjYGzaiHSXMOrt3M/HZz+KPjDTq9EyG9te/nuQznrHkdoSlEt7QEEY6jblpE9/WH+bTD32eotec1Ev5Saoj1+HPnE8mZvG6yzfyxss2k0taCzxZiKWRQCyEEEIIIcRTnFIKf3QMt+8g/sjI3F7hBYSuS+Gb32T2jjtAqUZ94qKLaH/d6zByuaW1oz5x1swMVm8vO9Kz/MPQJ9hReGLOdV5hG87IH5C127nx6k386XM2kktIEBbHnwRiIYQQQgghnsLCcjmaNGtsDG94GM20sDduQrMWDpjV7duZ/Pzn5/QKa/E4ba9+NanLLlv6xFmVCt7QEHrMprC+jY9N/Re/7v/Z3GucTqrDL6FNP5t3Xr2J1166kbQMjRZPIvm3SwghhBBCiKcgFQR4g4N4/f14o6OEs0XMnh6MbHbB+wJXY/ShLNP/92Nz6mNnn03HjTdidnYurR1hSDAxQVCYptSe42OFX/PLvd9HaW7LNQbuxO+xmhfxpmu28scXrZHJssQJIYFYCCGEEEKIpxh/chL3wAH88XH8kVH0TAZ782Y048ghUynFTF+ckftz+JXmdVoiQdsrXkHq8suX3Ss8EOp8srqPewe/D2YBWh7jzZzDacbLeccLn83VZ6/CkOWTxAkkgVgIIYQQQoiniLBSiYLw6CjeyAgEIdbateiJxIL3+aOjTN52G9WH2+fUJy68kLbXvhazvf0Id85PhSHe6Bi/Hi7xr+5+dsbuRI+Nz22r08vFmdfz7pdcywXrFn6XWYgniwRiIYQQQgghTnHK96Ph0QMD+GNj+IUZzK4ujHweTdMw930Ne9dtaEFlzn1hAJPb04w/nkEFzZ5ZIxaQv/EdJC++eMm9wgPjs3xz5xTfdA4wk78LIzuA3nJeCzI8v+vV/M0Vr6M7kzyWry3EMZNALIQQQgghxCkqmj16FLe/H39snGB8HD2TIbZ5M5rZ/KP+fGF4djDGyP05vGJrJFDkTy/Ttc3DueSSRbej4it+1F/hG3tmuD/cgd35Y4z2floHaOsqwTVrX8EHn/cmMrH0Mr+xEMeXBGIhhBBCCCFOQf7UFF5fH/74ON7oKJpuHHF4dGsYdmYMRh7IURqKz7km1ubS+8wC8W4Td8trjvr5SikemvT51sEqd/SVqSYfx+78EYn40JzrdCyu2/Qy3nvJW8nFlrZMkxBPNgnEQgghhBBCnEKCYhGvrw/tvs8S3/sltNBpnnx8gftcjfHHMkzuzkEQNOq1ZJL8S19K+sorCQ2D8lE+/0DR545+h//pc9hXqmLlHsDe8HMSh7wjbGo212+5npvOv5GeVM8yvqkQTz4JxEIIIYQQQpwCwnK5NjR6DH9sjNyeL6Ep56j3qQCmdqcYfyxD4OpALQxrGunLLyd3/fVHXYqpvxRwR7/DnQMOTxR80MvYbfeQ6v0Vulmcc23MiPHyrS/ndee8jq5k13K/rhAnhARiIYQQQgghVrCwWsUbHMQfHsGfGCcoFDDybUcNw0rBbH+c0Yeyh7wnDLEzzqDt1a/G3rDhiPcPlQPuHHC4Y8Dh0SkfAN0eIbbqbqzc/Wi6N+f6tJXmZVtfxmvPfi0diY5lflshTiwJxEIIIYQQQqxAoePgDQzijwzjT0wSTE+hZ7LYm+ZOmAVQuvauOeXqE08w/bWv4e7ZM6fe6Ooif8MNR5w9uq8U8OMhhx8MODw46ddqA4z0Duz2uzFTuw+7pzvZzWvPfi3Xb7metC2TZYlTiwRiIYQQQgghVpDQcaIe4ZER/IkJgqkp9FQaa8NGdNte8F5nzx4K3/gG1ccem1Ovp1JkX/xiMldeiWZZzc9SikenfH4y5PLjIYfdsy3vFlsTWPl7sXL3oVszh33W1ratvObs1/CiTS/CMqzDzgtxKpBALIQQQgghxAoQVip4Q0P4o6P4k5NREE6msNZvQI/FFrzXPXCAwre+ReX+++eeME0yV11F7sUvRk+lAKgGinvGXH485PLTIZdxJ2xer3mYmcex8r+btzdYR+cF61/Aq856Fc/oecaS1ygWYqWRQCyEEEIIIcRJFJZKeENDeKOjBJNT0dDoVBpr3fqjBuHKhMX4YxmK//dv5p7QdVLPex65667D7OigvxTwq30VfjXicveoSyU45PLYMFb+t1i5B9CMuesVA7RbOa47/SW88uxX0ZvuPdavLMSKIYFYCCGEEEKIkyAoFPCGh/HHxwkmJwmmp9Ez2UUNja5u387ETzoojRwemJOXXIL94pfwoNnBL/s9fnX/JPuLwWHXacYsZvYR4vkHIN532HkdjUvzF3L92S/nitOuxtJlWLR46pFALIQQQgghxAmilCKYnMQbGiaYmsSfmCQszqJnc9FkWdaRQ6dSiuqjjzLzne/g7NwJtIRhTSO44CLufeY1fF/r4b77PLzw8Pd+0ctYmcfItD+MF9sNmjrsklVGO9f1XMlLz30Fa3rPOA7fWoiVSwKxEEIIIYQQTzLl+9H6wSMj+FNT+BOTqGoVo61tzqzR5r6vYe+6DS1oDltWCoqDMcYfy1CdPKTnWFNk11d4y5kf4pFED4wDeIdc45DIPUF7xyMU7e2EBIdegYXB85Pn85Lea3jOWddgd3Qe999AiJVIArEQQgghhBBPkrBSiYZFj40TTE/hT05BGGK0t2OsWYOm63Oubw3Doa9R2J9gcmcKd+aQnmNdkd9YpuOsIm7a4hGn55DzDms7d5Npe5QR/VE8PObpL+Z8bR1X5y7hmjUvoGvDmRidnTJRlnhakUAshBBCCCHEcaSUIpiaimaLnpggmJommJ5Gi8Uwu7rQU6kjhk4tqOCVdaZ2pZjekyJw5wZmTVfkTyvRcWYJKxVQVHH+yb8egFxilo09O1Cpx+kLd1LApzDPZ2zVernSOIerOy9jTc9pmL2rMbs6DwvnQjwdSCAWQgghhBDiOAhdF390DH9slKBQIJicIiwV0bM5rPULzxhd8RXbH9rJprvzzPQlQM0NzGUzxh0bLuEbW65gKp4FIBPAOd3jpPNPcL5xK/u8A+wFCA9//mZzFbhP4XUAACAASURBVC8It/IC61w2dp2B2dEuQVgIJBALIYQQQgixbEopgulp/LExgslJ/OkCwfQUhCp6P3jVKjTDOOye/nLIw5Mej0w4hA/cxzMe/ilnTR5ghuSca4eS7Xxn82X8YMOz0BJJtnWErOnchxvfyRPeIzzmjUcBeJ4QvMVey2XmmTy/uoHTYmsxOzsx29owe3sxOyUICwESiIUQQgghhFiy0HGiSbLGxggKMwTT04SzM2jJFFZ3D3oq1bi24IY8MuXz8JTHo5PR3pqa4JoDv+X3D/6Wzurhb/cmuxw+esZbCM87j3Wd49yQeIj9wXYeruzi4TCA8uFtMjC4MHkGz0+ez6XuerqKOkYshbm+HaO9A2t1L0Z7u7wjLEQLCcRCCCGEEEIsggqCqBd4fBx/aioKwoXpqDc4n8fefBqzoc72gs/jg2W2F3wemfIbawAbYcCzhx7jzw/cw0WjO9GZu+SRrxt0rJ9FO6vMvWtMMpt38tvyt/lNMAPF+duU0hNcmjqX52cu5BJjC8lClXByFiOXw9jUjtnRgblqFWZb25P98whxSpJALIQQQgghxBEopQhnZvAnJqIJsmZmCAsFwlKJ6ViGHXonO1yTx3d7PFEo0Fc6fOxyb3GcFx64h6sP/o425/Bk66XSjD93K7+5OMGvK79gvx29I8zsPfO26fTYWi5JncMlqXPZltiCUawQTE2hvAm0tjZiq07H7OrCXNWLkU7N+wwhREQCsRBCCCGEEIcIS6VGCPanCwxOzPLYaIUdrs12L872UpzRqgKc2jZXzHd59vBjvHD/PWwb333YeaXB0JZ2frAN7txYIDAeggCwrcOuzRtpLk6dUwvB59Bp5lG+H03cNXSAwDKjZZzyeayuLsxVqxacwEsI0SSBWAghhBBCCKI1g8cHRtm+f5SdwzPsnKiyc8ZnT8VgNtSBem+rmvd+XYVcOL6bFw8/wLaDD2N7hwflQkbnh+cpfnyBzli+/u7w3Hd6LaW4oOrwrPV/wiWpczkjtg5d0xtt9EYHCYuz6JkM1po1mO1tmD090URZh0zgJYRYmARiIYQQQgjxtFNxA3aNzrK9b5LtB8fZMTzLrimn1uvb6sh/XI4bcGbW4FJ3hIv33Uv3o79Dnzl85d9QgwdO0/jhNo0HTtMID5nd2dZMzk2cxoWJrTz30X/lPMclrhSlC/8AiN5d9memCKanIQyi2at7ujE7OrF6utFzOZkoS4hlkkAshBBCCCGesgoVj71jRfaMldg7VmT3aJEdQzMcnKocoZ93fhlL48ycydn5aDszKND28G+YvfOX6IOj894z2A6/OEfnJ+drTGabgTWmWZybOI2Lklu5MLmVc+KbienRUOlU9dON68JymWB6mqA4i5FKYXV3YeTz0fvB3d0yLFqI40ACsRBCCCGEOKUFoWJwusLusSJ7x0rsGSuyZzQKwePFw4ctLySmw2lZk9MzBluyJltyJluyBh0xxf7Bx5j47S+x79+O3TdDCTh0Jd/pJPzqbI1fnKuzdxWgaXT6AVeVHC6oOmxzHM5yXWJqD/CDBdviDQ9h5PPEerqj9YO7uqJlk2T9YCGOGwnEQgghhBBixVNKMVFyOTBRYv94mf0TpUb43TdewvEPn915IQaK9SmdM3IWp+dMtmSi4LsubeApl93OALuqB3mkfzu779zF5scm2DSsWD3PsxwTfnuGxi/O1XhsI5zu+1zslHnTmMMFjsMaP2CpA5qVESe+9UzMrk7Mri70eHyJTxBCLIYEYiGEEEIIsSIopRidddg/XuLARBR6W/dFx1/yM21NsT4WsikWsCltsqk9zpbOJJszJrYOE0GB3dV97HQO8vOZPnaOHkQNDvOsHSHP3h7yjLH5nxto8MhGjcfPDPHXu2xVLu90Xc7pc0mqpQzGnud3MJOEl76HxIXb5N1gIZ5kEoiFEEIIIcQJU3ED+qfK9E9V6Jsq0zdZ5sBEbZssUfWW1tNb1xnX2ZjS2RgL2WC6bNQqbEzqrGlPkZz+McWDX2FvKWC3a3HHpMVu22K3ZTFjGBiB4uyDiot2K/5ot2LV9Pyf4eswsD7E2eDS3VvhRbrDK8OQ0nPualyjgNIC7QwrlWgt49lZMAyMXBYjm8XI5aPe4PZ2NMtC5ooW4sSQQCyEEEIIIY4bxw8YmKo0Am//VIW+yWjfP1VmvOgu+9npmMmG9gTrMybr4rAhFrDR8FhPhbQ7S1itMpvQOBCb5YAxzf3+CHurA+zznmBqbeecZ2VLigt3Kp6xO+D8fYrkEZoVGIpgjUfHmjK9vRXOs1t6f0NQRuKo7Q6rVcKZGYLZWUBhZHPY69dFQbijA7OjAz1x9OcIIY4/CcRCCCGEEGJRlFJMllwGp6sMFioMTVcYKlQZqO37p8qMzjocy4jhfNJiQ0eKjR1JNnSk2JCPsy6uWGd65NwSYbGIW5yhv9jPwfIADzPFHeYsfdoUB/RRJsoFKB/yUENHU4qNw3DhXsVFu0NOHzx8Qqw6zQxJ9zpk11VI9zro1vxfSBkJ3C2vmfdcWKkQFosEMzOgFEYui7V6NUY2i9nehtHZiZFOL/+HEkIcFxKIhRBCCCEEALNVrxlwp6sMFSpR+J2uMFSIQu9SJ686lKlrrM4nWNeeYG0+ydq2BOs7kmzsSLGhI0kuZhAWi/iFAiPjB9g/vZcdgwf5QXWQg+4I/eEEg0wT0NKOI/TudhQU5+9XXLBPcd5+RaZy5HYZXV0ktm0jsW0b8a1b0axoGaQFbplDKYWqVAhmZ6Ph0BoY2XoIzmC0tUU9wZmMvBcsxAoigVgIIYQQ4ikuCBUTRYeRGYeRmSojs1VGZhxGZ6oMz1QZqoXe2WVMWnUoXYNV2Thr25Osa4sC77r25n5VNo6hR4HQCz2GZwY5OPYETwzu5QePH2SgNECfM0yfO0rlSEn3COKOYlufwXMOxDlzn0d+bIE4q2nEzjijEYLN3t4lB1UVhoSlEuHsLGGxCJaFkU5jr1uLns5EPcFtbejZrIRgIVYoCcRCCCGEEKcopRRTZY/hQhRyR2eqzdA74zA6W2VkpsrYrEN4bBMfN2RiJr35OKvzCXpzCVbn4vTmE6zOx1lTq7PN5mDkglOgv9hP/+xjPNbXT/9MHwen9zNQ7Ge4Oja3p3cJus02TlOdXDgU5/QDHl17J4kdGIbA5UhdxkY8IHbhZSQuuID4eecta8iycl2CUjR0OyyX0BNJ9Ewau6sTIxP1BBttbejptIRgIU4BEoiFEEIIIVYQpRRFx2e86DJedBifdRhr7KO6sdloG52t4gXHKekCtqlHATeXYHUt5PbmEvQ2wm6cTNxqXB+EAWOVMYZLwwyVhtg+NMTQrqFGebA0yKw7u+z2ZPQk6+1VrLd7WGf3sCFsZ8PBKrk9owQ7duHu3wlBcMT7NcsitnUrWfNXpFY5xHI+5Re9ZUltUGGIqlQISyWCYhECHz2dbr4TnMti5vNRCE4ml/1dhRAnhwRiIYQQQognmVKKmarPZKkZchvBtiXkjhejbblLDy2kPWXTnYnRk43Tk4323dk43ZkYq3NR+G1P2XN6NUteiaHiEEOlAzw4PcT3B2pBtzjIcGmY0fIovjq2YdadRp41dhdrrC5W253R3upivb2KTDHA3b0bZ/dunO334R44AGG44Hu91vr1xM89l8S55xLbsgXNtknd8YMltSl03agHuFQirJTRbBsjlcbq7UVPJTHzefRcDjOfR7PtY/r+QoiTSwKxEEIIIcQS+UHIVNljsuS2bA4TJZepksvEnHqXqbJ7XHtyW2XjZi3kxumuBd2eTDPw9mRjdGVixMzmyrahCpmsTjJWHmOscoDt5RF+MT7GaHmU0fIoI+URhkpDx9S7WxfDZLXezmqzgzWxHtbEV7E21s1qq4teq5O4HgVKFYZ4/f04u3bh7P4xlV27mB0bO+rzrbVriZ11FvGtW4lt3YqRzS65jcr3CcvlKACXSoBCT6VqvcC90VDoXA4jl4smxdKPND+1EOJUI4FYCCGEEE9rYaiYdXwKZY+psst0xYvCbbEZZuvHkyWXybLLdNl7UtsUt3Q601GQ7UxHW1fabpYzMbrSUehN2M2gq5Si6BVrwXY/A5UxHuiPQu5YuRZ4K6OMl8ePuWe3Lq+n6dGydKsMPWGaVUY7PbFOehM99KRW0ZnonPdd2qBQwH3icab37o16gffsQVWrC3+YpmGtW0f8zDOJnXlmFICX8x5wEEQBuBaC8Ty0ZBI9lcLuaI/CcCaDnsth5PPo0gssxFOWBGIhhBBCPCUodUiwLXtMVzym68fl2nElOl9oOX+8JpxaSMo2aEvZzYCbiUJuPdx2Zpr1KduYEyIrfoXxyjgTlQkmqhPsq0xwb2GCid0TjbqJygRjlTEq/mIXCjo6SzNZZXfSY7bRo+XpIUO3StPtJ+l243TreRLJLFoigR6Po8Xj8/aehuUy7v79uPv24ezdi7t3L8Hk5CIaYBHbtInYli3Yp59OfOtW9FTqmL6Ts28fuC5aMoGeTEbDoJPJaGmkbBY9m0NPJWVCLCGeJiQQCyGEEGLFCENF0fWZqXjMVHxmqh6FiheVq7X6Wl090LaG2+BEJFtA0yCfsGhL2XSkbNpTNu2pGO0pi/ZUrKWuucWtuT25s94s09VpJquTTFQm2Fed4N7pKNy2ht+JygRlv3zcv0PWztKV6KI71kGnmafTyNJJhk6VoiNM0uOnyHkGOC6qUgXdQIvH0RNR8NXjcTTz8D9KhqUS7sGDuAcORNu+ffhDQ4tqk5GOkWyfJdFRIdnpEs97aMYB4KcwQrQdI2tVD3oiiZFJo2dzGNlMNCO0DIMW4mlJArEQQgghjhulFGU3aAmyzRBbD7XNgNsMvTPVKODOOj7qxGTaOdIxk1zCIp+MtvZUjPb6Ph2F3rakTUc6Crf5hIVpNAOUEzhMVaeYdqaZrA4xXZ2mz5nikbFppvqmWs5NMu1MM12dPm5Dlg+VMBN0J7vpSnTRleyiO9FNd6KLTitPp5alkxTtQQK76hNWqyjHIaw6qFKVsFoF1wHTRI9raHEbLZWZN/wqpfAnJ/Faw+/BgwSLeO8XQDMU8bxHvMMl0e6R7HIxkwFPZsesspIkL7oIPZVCM4yj3yCEeMqTQCyEEEIIlFI4fshs1afo+BSrPrOOF5XrdY5fO+816mZbztUD74nqpZ1PyjbIJ21yCYu2lEU+YZNLWrQlW4/tKPgmrMa19XVzlVJU/Aoz7gwFp8CMO03BKTDtTDNYnmZycpLp6jRTTjPkTlWnnpQe3FaWbtGR6KAj3kFHooPORGfjuHXfmegkFZioapWwXEFVK4SVCmGpgnKdWgAeI3SqVKsOyvfRY7FoqHMshpXLzTvsOaxUcPfvx+vvxxsYwO3vx+vrI5xd5KRbmiKW80m0u8Q7PBLtLrGcj3YiO2XtNNoV/2tZk24JIZ66JBALIYQQp7AgVJRdn7IbzAmzxXqYdZqBdqZR9g4Ls8Wqj38Sg2yrlG2QTVjkEhbZuEU2Ydb2tS0elaPeXJu2pEUuGV1fn0k5CANm3VkKbqEWbMcpONHxbrfAzOhMS+idaZwruAX88MnpuT1U0kzSFm+jLdYWBdrWcHtI+M1YmTnvtKogiEJvtUpYqaBmK4RjJcLyOBXXJXQdVLWKcl1Cx631+lposRh6LIaRzaF1xdDsucssKdfF6+ubG3wHBgjGxxf/xQwDa80a7A0bsDdsIDv8j8TzHvoi/9SpjATultfgb7oB5XlRiK99z7BaRdP1aNh2y3vLRjqNnkqjp2uTYSUSi2+vEOJpTQKxEEIIcYKEoaLsBZQcn5IThdj6vuj4lF2fkhNEe7d+3aHl6Pr6tRUvONlf6zBxSycbrwXaeoCthduoriXgHlKXiZuYho4f+hTdIrPuLLPebO14onE84c6yvzxLcbp5zYwThdwZZ4ZZ79iXC1oKUzPJx/ONgJuP1Y7j0XF7vL1ZF2sjH88TM2ILPlMphXKj93f9qVFUpULoOKhKhaBaBdcldF1U1YmCr1sLvoaJFovCrp5MYbS1R+WWXt+wWsUfGsKrbwMDeAMD+MNDsIS/F9HNkFjeI97W3GJZH83oA34DPtDZvL507V1HfFb0XWpDuCsV1K5dAI33lY32Nqx4HD2RjIJvKoWeTkfDn+d5l1kIIRZD/u8hhBBCtKgPHa64AWUvoOL6VNww6oX1AqpuQNmNgmhlznFLaHUDyvW96zeC7UoMr61sUycTM0nHTdKxaMvUj+Mm6ZjVLNfPxU0yMYtULOrVzcRNTB1KfomyV2bGnaHoFil6sy3HRQbdGXYWi8xOtgbe2t6bPa4zJS9VzIiRs3NkY1mydpZcLEculqMtdkjAjecbdWkrvaxZiZVSKM9r9PY2wqAT9fCGrjunl7deVr6PVu/xtW30dBrDtucEXxWGBOPjuAcO4A0PRwF4eBh/eJhgamppDdUUsaxPLOcRy/m1zcNKL/6dX2UkGu1SjhN91/r3dBw0XYvCbywKv3otCOupVHNLp2UJJCHEcSWBWAghxCklDGuB1YvCZtULaj2m84fU1vpmyA3mBt5D7jsZkzodi5RtkLBNsvG5YTYKq80w2yjXz9XCbDpuYpshvqpS8kuUvNZt5pByiQmvRKlUojTdrCv7ZYpukbJfPqlhtk5DI22nydm5RqCth9sj7evHcTN+XNtyWAB0nEb4bYRez8Pa9w1ifV9FC4+yFm/rsxX4FR2vaOIWDdxZE3fWxJkx8YomKlxqSFdY6aARfOP5aG+nfbRjmINK6XGq3S+O1hr2vaj3uvbuspHuqPUCJ9BT0VrAejIZbfHj+89CCCEOJYFYCCHEMan3qFa9gKoXBdVqYwup+gGOF9Tqm9dVvaB2LuqNrfrBIedCqvPUO354sr/yMUnaBqmYSco2SNomqVi0T8fMxrk518RMUrZJMmaQjpkkLJ2YqcBw0HWPEAcnrFL2oiBa9qPe1Wa5TNkrM+RXKDtlSsWo57bklSh6xcaxG7on+6eZQ9d0UlaKrJ0lbaVJ22kydoaMlSFjZ6Jy63HtXD3Ypq00hn5iZhFuDG1uhF4X5VQbATgayuxFPb2eB15tqLPng+uCpqHZNukjhOHQB68UBd7Gvtgsq2AZ0zJrCjvtY2d97EwzAMeyPrqpUEaC8u9/B4hGPS/0VnWjl7vlN6h/d82Mhm/r8RiaHcOO2bWlmxLN0FvbNOn5FUKcBBKIhRDiKSIIFU4tYDp+iOMHuH7zuLXe8cOoHIQ4tZDZel1roG0EXD+69tD6Uz2gzsc2dRKWQdI2SNhGy3EUSJO2SbxWl7SNxnGqFl4Ttk7cAsPwME0f3fDQdA9wqTbCaznqTfUqjV7Veogdrpdnov2hATdQK3voNUDKSpEyU42wmrbTZK0saTsKt/Wgm7FrofaQ46SVRD+hUxAfmQqCRthrDFl2nGad46J8rxYKa8GwtRz4aIYZTWBlWWi2jZFNNMooRTA5SXkoxCsn8Epzg69fWX6wN+IBsYyPnamH3yj0WqngiDM81ye1Oqw+DKPv1vL9w9pxFHxtdNtGSyYw2tqicmv4TSTQEkn0ZELW/BVCrBgSiIUQ4hgppfBDhReEuH5tC6KA2Qik84TO6Pz89fXQerRA67YE2pUyQ/CJEDN1ErZB0qoFVtsgaZlzwmu8dn7usYllKUzdwzB9NMND1z00zUXpHprmESgXTzlUaz2tVb9KNajO3ftVpoIKQ36VqlulWj78mlMhtLbSNZ2UmSJlR0E2ZTW3pJUkbaUXfZwwEysmzB7NnJDXsoVO7bjWm4vnR8eeFx23Bl7fi97ntZqbnkiiZS2swf/G3H07/oyHVzbwSwZu2YhCb9nEKxn4FR3QmDP71BLoqRRmdzdmVxdmTw9Wby/mqlVYq1ahp1KHXe/VtiP+Hl7tu01OzvlNCHywa6HXjrW8t9wSfOPxRujVEwmZ7EoIseLJ/6WEEKcMpRRuS+j0AlULnwGu3zxXD6ZOy7EbHKG+fhzU6xVurWe1/nwnCPFqz3APudet3XuqvXN6vNmmTtzUiVtGbYt6WGP1cuNcVB+3DGxTwzIDTCPENH0Mw0fXfXQjQNM9NM1H032UFv3xXeER4hHg4gYuTuDMv/kOEy3lymwz1Dq+g69OzJI6TyZTM0lYCRJmgqSZjPZWclHl1qDbusWN+LImhVqplFJQC3b1d3QbvbeeGx3Xw67vo3x/ye/wKgWhq+FVDPyygVcx8Cp649ivRME39NqO7ctoGkZnJ2ZXF1Z3dzP81vbzhd4F213/S4D6MOf63nWj3mwz6s3WrSjsGuk0WsxGs+xouaM54be2l+ArhDhFyf+9hHiaC8MoSPqhwvNDvDAKgp4f4ochrh/1fNaP/bAeCJvHnq+i+2q9lG6tzg/DOcdeUHt20Dw+NJS6LcHTPSzQPs1T51FoWtRzGjONaG+1HJs6dss529SxzRDTDLAMhWEEh296gG4EUUjVAtACNN0HLdoC5RHi4isXL2wGVDdwqfrVaB9UqQYuhdbAWqpdt8LeWT3eDM0gYSaIGTHiZrxxnLSSSw6xSTM559gyrJP99U4aFYYo328E2mhfO673bNZDnu9HodgPCP1az27go7woAON7qCCMAqBlzXmHN/Q0/KqOXzWifcXAL+tzwq9f0VHB8egJV5iJECsZYKZBX3sW+mnPjQJvdzdmR8eSAmf9N6r/hcCc38TzIAzAttFMC922oh7edArdjoFtYdQmu9JisaiXt2X/VPpLEyGEAAnEQhwTpRReoAjCKBD6QRT8/EDhB1FdUBtKG51T+PXwGdTPRfc0jus9mUc4bg2UfqAaPZ/1Y/+QwHnocT341kNw8DQaZvtkMnQN24iCpmXoc0KobWrETLCsENsMsQyFaYZYZoihBxhG2AygtRBaD56aFjQCKJqPwifEi/bKJ8AjVH4jlHqhhxu4uKGLFzSPZ4LoXD2wep535DGTT3G6ppMwE8SN+JygGjdrZSPROI4b8cNCbb2+UTbixMzY3PvMOJb+9A2tS9Ucpus3gi2+3wxztXCrPC8asuzXQm1QD7bRvr7hB9HwXk0H04wCr2mCphFWKoTlMmGpRFgqEczOEhYKBIUChf0p/GoWv6qj/OM35FvTFWY+jb5qA2ZnJ2ZHR9Tj29ERHbe3Ly3wBkHj91Ce1wy+9br6EG67NoTbtNDT6UZZry/PFIuj1ya5iia+ih+2XrEQQjzVSSAWJ8VE0Zk3FLaGxkODZlDrufTD5rn5rqsHzsOe31LfvK8ZThufPU87Dg2s9edImDzxLCMKnpapYRkK21JYtZBpmSGmoTCMMBqGa9TCph5tUW9niK4HaHqArkV7rdb7CX601wIUPqq2D2vhUxFEvaLKJ8AnCH185RGoAD/08OpbEO2LtbIfHjJEN6htzkn4AVcYW7eJmTFixvybbdjEzXi0N6L9Yedr9fXrWs+3Btx6aDV1U3q5nmTNwFbrhW0EtXrvrDcn9Ia+D0HQCLnU7q/vlR9E9b6PCkISMz8hMfVdCBwCVyNwdALHwHd0gqpeK+u1cr2HVydwjzY5VWzJ31WLxTDa2zHa2jDb2jDqW0udns0uOmS2hl3m/G7NvQZgW42ebc00m4HXNKOhzbFa6LXtZvCt9/xalvw3IIQQNRKIxUlxyUd/9LSaAGjlUEAIWtgIfhohlqlqAVJhmgpTrx0bIYahamGyHixV1IupR/VRoAzR9RBNq221Oqh9hhaiqAfNKA0qLUSpoBY6g0bgDFVAiE+gorpA+YcHzlrIDICjvulXD5/iMKZuYus2tmFj6zaWYTVCZr3cOG/YWLrVCJyWbs0bQOds5jzhtiXU2oZ9yky89HTW7HkNmuG2Fl4b5Zagi+8TBgH4Pua+rxPb/2W0YHHv5IY+BK4ebdWWfT3s1raCo+NX8wSuDupJCnaWhZHLzd1aAq9ZC7xaIrGocDlnGHNr6A2CZtj1fTSNWq+2hWbV9vE4eiaNbppg2dEwZ9uubbEo7DZ6fWshWAKvEEIsigRicVIYuraCAnFLSCRsBLhmOdo364JaoAzRqAVEI8TUFYah0PUQQ6MWIKOyrtX2ukLXQrT6XgvR9BBdC0FTUbCsP7t2LgqPUXBVNANk6xaqqCczUAEhc4NkqPwoPNbKR/slFpp99DC1n0gcnambWLrV3Ixob+pmFA4XCKCtda3lxvlD6hvnW593yDMs3ZIw+jSiwrA5rHie3leCZuhVvtdyrnY+DGrXBagwQAVBbVhydKxaz/t+433V9K6vUK6GBG48CrP1sOtqhK5+SJ2+vPV0l/ZLYMRDzHiIGQ+ifSLaG7WykbIIz3kZ4VmvPGqorP+uYe13bf2NDx3GrQGYRmP4dmOLx9FMI1p+yTTRrdawW9ssG82uDXWuL9UkhBDiuJBALE6KbM/d+MqvhcMQQ1NotR7GZk+javY4toTEuUE1aJQV9fBY63msB0hCQgKUCggJa/taT2St7nip58Mlz2GraptYkiOFzCMFzwXrF7h3sc86UlmG6IpjpWrBsx5AaQTbWphtDbktx8b227F2fBEtqADRwj5H/SwFytcIPI3Qi4Jq6EUBNvQ0Aq+2d/XofO1cUK9zdVQYfdI4+SfxV4loiQRGJoOeyTT2jeNsFiObbfTw6pkMmnHkYdNKKfz6b1wuEx7hd22E3jCI3v01zCjU1kOuZaEl4s13lw0T3TIbaxA3lmdqWZe4cSyzNQshxAkl/9cVJ0WQ/y5+uIwZfSQ4HjNDMzA0A1M352z14GZq5mHnGtuh57R57l/EtYd97jznDM1YMLBKyBQrnVIKwrAlyIZReK331rbs9Yc+j/HgZ9D88rzP0jh6mFUKVKAR+loUYH0N39NxfI3QixP6tWBbD7Ferae2JdTWj5+0YchHYxjo6TR6KjU35GazGOl0VM5mm6E3nT5ib6kKw1qPdtj4C4RgZib6Z9ISchthtx5wU6CvowAAGLFJREFUDTPqyTUMNMOMArRhRJNOpZJR/ZwQXA+3ViPQzgm9liVBVwgh/v/27j5asqq88/j3qbrdNI0KSkJMBmbhsETxjVGJ+DIoxDXExOCoQ7ImK+JLBh2SGcUsUTM6UXRWIk5GjaKJJsaQqBmdwRjDiMoKQhQJyWgwasQXDChESSItIq/d99Yzf+x9bp1bXXX7QnfXudXn+1mr1jm19z7n7q7ddW/9ap+XTczfzurE0mCJXfcmEO8nTUgcDoYsxRLDwfTn7bA2s+2M7ZryyecbaTcrQA4HwzWBc7dQOlE3HAw9TFaa5srzycvPI3bets92GRPLSZmQI1aD6vJyMNq1dU2gHe0atJ6X9ZVmfbLNcodBdkIMRwy3JsOtIwYHQTzgKOKIY8dh95BDVtcHrfXJ2/rkaDT+UqG9rIF2eceOtV86NCG4ORd3MGyF2yEMhvXw5CVi20El6A6XiOFgIuAurZntpSnbsvZCViz5xZwkLToDsTrxC8f9Aiu5Mj0MtoJiE/o2GiL3FGantouhH2ikfe3K8+Hy82AfBsz9bfK3QBNYs4bN0UoJorm6HmvWR8sxnqFdDnJlHFRHK7FmP812myXAToqtWxls305s387g4IMZbN++5hGTZQcfXNo2AXfr1tUZ8jVBNXM8M9usj0bkXXexfPvt43CbWUIvWYPsYBxmB0MYDkrI3bIEgwGDGnhjUG6zxKDWN0F2OBxfqKoe2kwr2K4e2mzAlaTeMRCrE2c/5uyuuyBpL2XmONQ04Wc0IkfJ4LI3ELtu38c/rx4SvBLkMuSorq+0wuiohM3SrtW+aTexnNZuEQLrLLGlXpF427YSWrdtGz9vl0+E2Sb8xrZtDA46qATQ1fEcrbvehF127WJlxw5WvvvdEmrJElAH9ZDjQZRQOxisBlqGg9LnVllZH7ZCbXPY8vg8Xdrl7QtUtZ+vc66wJEkNA7EkLaDVMNqEktbzHCXx/36HuPLNex1KV2dJRzVAjqjL8fpoWt1KMBptn7FdkCutQDuxXY6YGlybCzUdUJaWGNR7w+4WWmeE2di6tWzTusXOYOtWaG61k7kmuLaf55QyRiNGO3fCXXcRg2BlMIAYtELsoAbbAVHLS5BdGs/WRg27w0GdzR20DlMetELtcLxcWlqd0V1T1oTapq0kSfuRgViSplid8axBMzPhqncQV/wmsXMvQ2az29E4WNIEzDXL1nptz3ptRhNtcolcOZTMaW3G66MpgXS8fgCG0HuiuZjSxD1eJwNp8xhs2QJN+3oxJer6oHneXHSpzoZm+/9ZK7CuBthmvS5jEBAlqJIjcudORsu74K47IWIcXleDbRNeW6F2EBCDcYCt7QaDJgi3Zmmb4No6JHn68+Zc3KFhVpK0MDoNxBFxJPB64GnA4cB3gD8FXpeZ3+uyb5LumdUZyolHlsrxbGYmWQrXlGcTOus9O9m1i9HyMtT7oubycqnbtavcK3Vlmdy1DLVu7f1UV2B5F6PW/VXbt6nJlWa/y2V9ZTS+9+pqm5XdrkI7vOkzMNpKjg4q3a9BlXZgbWZUc0pAbdov2GG4m8lut6rZsgVq2KR9K5v27W/qc9plS0ul/XC4tq49Q9kcytsOpBP/Z+uAtkJmjANmUENprC6JOps6HAABgyg/fxB19nVAMK5vZmhX9zuoobUdeqfMzK7WtcJtDCbbDMcBtmnj+bOSpJ7pLBBHxDHAlcARwEeArwCPA84GnhYRT8rMm7vqnzRpzSGp7aBUQ9xq+cRVUVdD1ShhtMJoZQSj1hVTmwvITLTb7aqqKysluK2M7zs6vl1Ic+GaVpvRRP2otVxeaT0fle2Wm76Py1f7sbL7+YJN29K31n7qIbtMvg6jEZkjGOW4bMqhnZvb1q470I3BYO1VdScvQrR6r9XhuuurM4etQ2TXzCa215sLI7VCaw4G5cJX9b24OlO626MVRokaSNe2iSZgEuVqWquBNdaE23a7qLOqtPc1KAF3NWyurg9LyG2XD4clEDchdzBsrQ/WhtJ2fVPWBF1DqyRJ+0yXM8S/TQnDL8nM85vCiHgz8CvArwNnddQ37Wc3vf71rNx+B3n33WsvyJPjcFXCUhMQm8MFy/PxYYUT4WvynMrJ0DV5SOK0usnt2ofOSvtCDTe7hcD2sn1uZTOj157Jm1XeBLApZSWQxe6zhUtLDJaWYEsTYJdWbztDM0tag2O0g+eMsvKcceCEtSGyCZd1hpSIMiva2qY0G4fbNeuDMou6Zva0HV5raG0/X3OY8WSAbc2+7lY3bb0Jpe11SZK0kDoJxHV2+FTgeuAdE9WvBV4EnBERL8vMfXuZUm0Kt1z4IXLnzq67oc0ost4/NGsGymaSjxgkMahtBhBR6wbNNq31Vpu120zZd3v73dq3+jMABkvsPPRx7DrshBoy26G0XmCoWS4t1Xuc1nuhLi3VK+4Oyv2gV4NeDYewe1mwuoymrAl3MA6SE/uZGijHFWuC5ZpQOxl+m8A5daZ1MLVdTMyg7lbWDqirbdg9pLYDbPu5IVSSJO0jXc0Qn1KXl2TmqF2RmT+IiM9QAvPjgUvn3TnNQf0AvHiyhosmp+Q4gwREu775vN5qU8rGAY8muMHEdhP7jfY27f21ygfTy5v1NdsP9rCvWBsQ7+3P3q391J877TWa8eoPt3H30T/PrqOeVV7aWUGPyXLGdTH+IWvCIK26iYC6ZgY0gi202+9e3+7HrLrdyldnV5laPmubDe+nOdx41j4kSZJ6qKtA/JC6/NqM+q9TAvGxrBOII+JzM6oeeu+7NifnHtp1Dzr1wEduJ2E1VM4KkKtBCtaW7TFUJu3M0t5PO4S1J+DWhLLJsvZ2B5hc2s7K8f+JlYedsXt4ZCIsTi7b7ZuqafWtgLl6Palan1Pbtn72xP62RLCl/syY2Ndk22BKfauNQVCSJKnfugrETRr8/oz6pvywOfRFHTjsmDu67gIAufUQ8qRXwIm/DLA2QE2uN+FtomxctJjhKii/CLwHmyRJkvpmoT8DZ+Zjp5XXmePHzLk72p+23gdO/lV44ov36W5bB8ZKkiRJ6pmuAnEzAzzruOGm/JY59KUb586aHJckSZIkzUNXVzb6al0eO6P+wXU56xxjSZIkSZL2SleB+LK6PDUi1vQhIu4LPAm4A7hq3h2TJEmSJPVDJ4E4M78BXAIcDfznierXAYcA7/UexJIkSZKk/aXLi2r9MnAl8LaIeCpwDXAi5R7FXwNe3WHfJEmSJEkHuK4OmW5miU8ALqAE4ZcBxwBvBR6fmTd31TdJkiRJ0oGv09suZeYNwAu67IMkSZIkqZ86myGWJEmSJKlLBmJJkiRJUi8ZiCVJkiRJvWQgliRJkiT1koFYkiRJktRLBmJJkiRJUi8ZiCVJkiRJvWQgliRJkiT1koFYkiRJktRLBmJJkiRJUi8ZiCVJkiRJvWQgliRJkiT1koFYkiRJktRLBmJJkiRJUi8ZiCVJkiRJvRSZ2XUf9rmIuPnggw9+wHHHHdd1VyRJkiRJ+9g111zDnXfeuSMzD9+b/Ryogfg64H7A9R13ZT0PrcuvdNoLbZTjtVgcr8XieC0Wx2vxOGaLxfFaLI5Xd44Gbs3MB+3NTg7IQLwIIuJzAJn52K77oj1zvBaL47VYHK/F4ngtHsdssThei8XxWnyeQyxJkiRJ6iUDsSRJkiSplwzEkiRJkqReMhBLkiRJknrJQCxJkiRJ6iWvMi1JkiRJ6iVniCVJkiRJvWQgliRJkiT1koFYkiRJktRLBmJJkiRJUi8ZiCVJkiRJvWQgliRJkiT1koFYkiRJktRLBuI5i4gjI+I9EfHtiLg7Iq6PiN+KiPt33bc+iojTI+L8iPh0RNwaERkR79vDNk+MiIsjYkdE3BkRX4iIl0bEcF797quIODwizoyID0fEtfX1/35EXBER/zEipv5Oc8y6ExFvjIhLI+KG+trviIirI+K1EXH4jG0cr00kIp5TfzdmRJw5o83PRMTl9f14W0T8VUQ8b9597Zv6GSJnPG6asY3vr45FxFPr37Gb6mfBb0fEJyLip6e0dbw6EhHPX+f91TxWpmznmC2YyMyu+9AbEXEMcCVwBPAR4CvA44BTgK8CT8rMm7vrYf9ExOeB44HbgBuBhwLvz8znzGj/74APAXcBHwR2AKcBDwEuzMyfnUe/+yoizgJ+B/gOcBnwLeBHgGcDh1LG5mez9YvNMetWROwE/gb4MvBPwCHA44ETgG8Dj8/MG1rtHa9NJCKOAr4IDIH7AC/MzHdPtPkvwPnAzZQx2wmcDhwJvCkzz5lrp3skIq4HDgN+a0r1bZn5Pyfa+/7qWET8D+DllM8cHwO+C/ww8FjgzzPzFa22jleHIuJfA8+cUX0S8BPARzPzZ1rbOGaLKDN9zOkBfAJI4MUT5W+u5e/suo99e1C+jHgwEMDJdRzeN6Pt/Sgf6O8GTmiVb6N80ZHAf+j633QgPyh/fE4DBhPlD6SE4wT+vWO2eR7Athnlv15f/992vDbno/5e/HPgG8Bv1tf/zIk2R1M++N0MHN0qvz9wbd3mCV3/Ww7UB3A9cP0G2/r+6n68Xlhf5wuArVPqtzhei/EA/rKOwTMcs8V/eMj0nNTZ4VMpf7zeMVH9WuB24IyIOGTOXeu1zLwsM7+e9TfWHpxO+Rb3A5n52dY+7gL+W336S/uhm6oy85OZeVFmjibKbwLeWZ+e3KpyzDpWX+tp/nddPrhV5nhtLi+hfAn1AsrfqGl+ETgIeHtmXt8UZub3gN+oT8/aj33Uxvn+6lBEHET5IvBbwIsyc+dkm8zc1XrqeG1SEfFIypFO/wB8tFXlmC0oA/H8nFKXl0z5MP8D4DPAdsobTJvTT9Tlx6fUfQq4A3hi/aOn+Ws+SCy3yhyzzeu0uvxCq8zx2iQi4jjgPOCtmfmpdZquN2Yfm2ij/eOgep73qyLi7Ig4Zca5ir6/uvVvKWHpT4BRRDw9Il5Zx+wJU9o7XpvXi+ry9zOzfQ6xY7aglrruQI88pC6/NqP+65QZ5GOBS+fSI91TM8cwM5cj4jrg4cC/Aq6ZZ8f6LiKWgOfWp+0/RI7ZJhER51DOQT2Ucv7wv6GE4fNazRyvTaC+n95Lmcl61R6arzdm34mI24EjI2J7Zt6xb3uq6oGU8Wq7LiJekJl/0Srz/dWtH6/Lu4CrgUe0KyPiU8DpmfnPtcjx2oQi4mDgOcAK8O6JasdsQTlDPD+H1uX3Z9Q35YfNoS+6dxzDzes8yoeLizPzE61yx2zzOIdyeshLKWH448CprQ9/4HhtFq8BHg08PzPv3EPbjY7ZoTPqtXf+AHgqJRQfAjwSeBfl3O6PRcTxrba+v7p1RF2+nHIu6UnAfYFHAZcATwb+T6u947U5/RzlNf94ti4IWTlmC8pALGmhRcRLgJdRrtp+Rsfd0QyZ+cDMDMoH92dTviG/OiIe023P1BYRJ1Jmhd+UmX/ZdX+0vsx8Xb22wj9m5h2Z+aXMPItysc6DgXO77aFams/cy5QLMV2Rmbdl5heBZ1GuOv2UGYdPa/NoDpd+V6e90D5lIJ6fPX1L3pTfMoe+6N5xDDeZeruXt1Ju6XNKZu6YaOKYbTL1g/uHKaeIHA78Uava8epQPVT6jyiH+/3aBjfb6JjNmjHR/tFcZPDJrTLfX91qXter2xegA6inEzRHNz2uLh2vTSYiHg48kfLlxcVTmjhmC8pAPD9frctjZ9Q3V1qddY6xujdzDOsHyQdRvvn9+3l2qq8i4qWUe59+iRKGb5rSzDHbpDLzm5QvMh4eET9Uix2vbt2H8tofB9wVEdk8KIe7A/xeLWvue7vemP0o5TDeGz1/eO6aUxHad67w/dWt5vWfFYa+V5cHT7R3vDaPWRfTajhmC8pAPD+X1eWpEbHmdY+I+wJPolx97qp5d0wb9sm6fNqUuidTrhJ+ZWbePb8u9VNEvBJ4C/B5Shj+pxlNHbPN7cfqsvlg4Xh1627g92c8rq5trqjPm8Op1xuzn5poo/lp7ljR/uDt+6tbl1LOHX7Y5OfAqrnI1nV16XhtIhGxjXJa1grld+A0jtmi6vpGyH16UA6HSeDFE+VvruXv7LqPfX5Q7l+bwPtm1N+P8q27N1zvdpx+rb7WnwUesIe2jlm3Y3UscOiU8gHlfpwJfMbx2vwPyrmoCZw5Uf4gylVzbwaObpXfH7i2bvOErvt/ID4oM/mHTCk/mnLnigRe1Sr3/dX9mH2kvs6/MlF+KjCizBIf6nhtvgclDCdw0TptHLMFfUQdKM1BRBxDeUMcQfmleA1wIuUexV8DnpiZN3fXw/6JiGcCz6xPHwj8JOUb9U/Xsu9m5jkT7S+kfAD8ALADeAblUvsXAj+Xvqn2m4h4HnAB5Rva85l+XuL1mXlBaxvHrCP1sPY3UGYVr6OEph8BnkK5qNZNwFMz88utbRyvTSgizqUcNv3CzHz3RN2LgbdRxveDwE7gdOBIysW5zkH7XB2Tl1Hub/pN4AfAMcDTKR/ALwaelZk7W9v4/upQRBxJ+Rx4FGXG+GrKl0rPZByWPtRq73htEhHxacodEp6RmRet084xW0AG4jmLiKOA11MOpzgc+A7wYeB1mfm99bbVvtf6kDfLNzPz6IltngS8GngC5UPHtcB7gLfl9HNKtI9sYLwA/iIzT57YzjHrQEQ8AjiL8iHiSMqtJm6nfAH4UcrrP3khNMdrE1ovENf60yi31noM5QiALwNvz8w/nGc/+yQinkJ5fz2a8W2XbqGcSvJe4L3TPnj7/upWRPww5dZmzwB+FLiV8iX8GzLzr6e0d7w6FhHHUX6n3Ug5Embd190xWzwGYkmSJElSL3lRLUmSJElSLxmIJUmSJEm9ZCCWJEmSJPWSgViSJEmS1EsGYkmSJElSLxmIJUmSJEm9ZCCWJEmSJPWSgViSJEmS1EsGYkmSJElSLxmIJUmSJEm9ZCCWJEmSJPWSgViSJEmS1EsGYkmS9oGIODkiMiLO7bovbRFxeUTkRNmm7KskSfNmIJYkaYMi4ugaJC/oui+SJGnvLXXdAUmSDhB/DRwHfLfrjmzAIvVVkqT9xkAsSdI+kJl3AF/puh8bsUh9lSRpf/KQaUmSNqCeb3tdffq8euh083j+rPNym3N4I2JLRLwmIr4REXdFxFcj4oWtdmdFxBcj4s6IuDEiXhcRU/9OR8SJEXFhRNwUETsj4oaIeFdE/NgG/y176utSRLwqIr4eEXfX/b8xIrbO2N9DI+KC2m5nRPxjRPxxRDxkI/2RJKkrzhBLkrQxlwOHAWcDfwv8aavu87VuPR8ATgQuBnYBpwO/GxG7gEcBzwP+L3Ap8AzgNcAdwBvbO4mIXwR+F7gb+DPgBuDBwJnAaRHx+Mz81r39R1Z/DJwEfAy4Ffhp4BXAEcALJvrzNOBPgC3ARcC1wJHAs4GnR8Qpmfk3e9kfSZL2CwOxJEkbkJmXR8T1lED8+cw8t10fESfvYRf/EnhEZt5S27+JctjyW4BbgEdl5j/UunMpwfKciHhTZi7X8mOBdwLXA09p2te6pwKXAG8FnrUX/1SAY4CHZ+aOuu9XU74EeG5E/NfMvKmW3x/4X5Tg/uTM/HKrP48ArgLeDTxmL/sjSdJ+4SHTkiTNx682YRggM/8euIIys/zf2+G2trsI+CHgX7T28UuUmdiz2+3rNpdSZoxPi4j77mVfX9mE4brv24H3Uz43nNBq99za/9e2w3Dd5kvA7wGPjoiH7WV/JEnaL5whliRpPj47pezbdfm5KXVN4D0S+GZdf0JdPiUifnzKNkcAQ+DYGfvcqGl9vaEu798qa/pz/Ix7Gh9bl8cBX55SL0lSpwzEkiTNQWZ+f0rxcl2uV7elVXZ4Xb58Dz/uPvega7tpz2RP6c9wSn9eyPr2qj+SJO0vBmJJkhZHE5wPzcxbO+1J0fTn+Mz8Qqc9kSTpXvAcYkmSNm6lLofrttp/rqrLkzr6+ZM2W38kSbpHDMSSJG3c94CkXDG6C2+n3LLpLfWK02tExNaImGc4/QPKFbJfGxGPm9KfwQauvi1JUmc8ZFqSpA3KzNsi4q+AkyLi/cDXKLPGfzann/+Veh/i9wB/FxEfr33YQgnpJwH/DDx0Tv25OSJOBz4MXBURlwJ/R/nS4CjKRbcOB7bNoz+SJN1TBmJJku6ZMyj3Dn4a8PNAADdS7g2832Xm+yLib4GXAacApwK3U65YfSHwwXn0o9WfSyPiUcA5wE9SQvnO2p9PAh+aZ38kSbonIjO77oMkSZIkSXPnOcSSJEmSpF4yEEuSJEmSeslALEmSJEnqJQOxJEmSJKmXDMSSJEmSpF4yEEuSJEmSeslALEmSJEnqJQOxJEmSJKmXDMSSJEmSpF4yEEuSJEmSeslALEmSJEnqJQOxJEmSJKmXDMSSJEmSpF4yEEuSJEmSeslALEmSJEnqJQOxJEmSJKmX/j+qbdyUn09gHAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "image/png": { "height": 317, "width": 482 }, "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?\n", "\n", "Taking a step back, we are fitting parameteric 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 take 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 _statistical 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": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 467, "width": 429 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3, figsize=(7, 8), sharex=True)\n", "\n", "\n", "new_timeline = np.arange(0, 85)\n", "\n", "three_f = ThreeParamInverseTimeHazardFitter().fit(T, E, timeline=new_timeline)\n", "\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": [ "##### Looking for more examples of what you can build?\n", "\n", "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": "3.7.2" } }, "nbformat": 4, "nbformat_minor": 2 }