{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(bayes_param_survival)=\n", "\n", "# Bayesian Parametric Survival Analysis" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC v5.28.0+58.gf58491a3\n" ] } ], "source": [ "import warnings\n", "\n", "import arviz as az\n", "import numpy as np\n", "import pymc as pm\n", "import pytensor.tensor as pt\n", "import scipy as sp\n", "import xarray as xr\n", "\n", "from matplotlib import pyplot as plt\n", "from matplotlib.ticker import StrMethodFormatter\n", "from statsmodels import datasets\n", "\n", "print(f\"Running on PyMC v{pm.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-variat\")\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Survival analysis](https://en.wikipedia.org/wiki/Survival_analysis) studies the distribution of the time between when a subject comes under observation and when that subject experiences an event of interest. One of the fundamental challenges of survival analysis (which also makes is mathematically interesting) is that, in general, not every subject will experience the event of interest before we conduct our analysis. In more concrete terms, if we are studying the time between cancer treatment and death (as we will in this post), we will often want to analyze our data before every subject has died. This phenomenon is called [censoring](https://en.wikipedia.org/wiki/Censoring_(statistics)) and is fundamental to survival analysis.\n", "\n", "\n", "This post illustrates a parametric approach to Bayesian survival analysis in PyMC. Parametric models of survival are simpler to both implement and understand than semiparametric models; statistically, they are also more [powerful](https://en.wikipedia.org/wiki/Power_(statistics)) than non- or semiparametric methods when they are correctly specified. For an example of a [semiparametric](https://en.wikipedia.org/wiki/Semiparametric_model) [Cox proportional hazards model](https://en.wikipedia.org/wiki/Proportional_hazards_model#The_Cox_model), you can read this [blogpost](http://austinrochford.com/posts/2015-10-05-bayes-survival.html), but be aware that the post used and old version of PyMC and that Implementing a semiparametric model in PyMC involved some fairly complex numpy code and nonobvious probability theory equivalences.\n", "\n", "We will analyze the [mastectomy data](https://vincentarelbundock.github.io/Rdatasets/doc/HSAUR/mastectomy.html) from `R`'s [`HSAUR`](https://cran.r-project.org/web/packages/HSAUR/index.html) package. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "pct_formatter = StrMethodFormatter(\"{x:.1%}\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " time event metastized\n", "0 23 1.0 0.0\n", "1 47 1.0 0.0\n", "2 69 1.0 0.0\n", "3 70 0.0 0.0\n", "4 100 0.0 0.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = datasets.get_rdataset(\"mastectomy\", \"HSAUR\", cache=True).data.assign(\n", " metastized=lambda df: 1.0 * (df.metastized == \"yes\"), event=lambda df: 1.0 * df.event\n", ")\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The column `time` represents the survival time for a breast cancer patient after a mastectomy, measured in months. The column `event` indicates whether or not the observation is censored. If `event` is one, the patient's death was observed during the study; if `event` is zero, the patient lived past the end of the study and their survival time is censored. The column `metastized` indicates whether the cancer had [metastized](https://en.wikipedia.org/wiki/Metastasis) prior to the mastectomy. In this post, we will use Bayesian parametric survival regression to quantify the difference in survival times for patients whose cancer had and had not metastized." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Accelerated failure time models\n", "\n", "[Accelerated failure time models](https://en.wikipedia.org/wiki/Accelerated_failure_time_model) are the most common type of parametric survival regression models. The fundamental quantity of survival analysis is the [survival function](https://en.wikipedia.org/wiki/Survival_function); if $T$ is the random variable representing the time to the event in question, the survival function is $S(t) = P(T > t)$. Accelerated failure time models incorporate covariates $\\mathbf{x}$ into the survival function as\n", "\n", "$$S(t\\ |\\ \\beta, \\mathbf{x}) = S_0\\left(\\exp\\left(\\beta^{\\top} \\mathbf{x}\\right) \\cdot t\\right),$$\n", "\n", "where $S_0(t)$ is a fixed baseline survival function. These models are called \"accelerated failure time\" because, when $\\beta^{\\top} \\mathbf{x} > 0$, $\\exp\\left(\\beta^{\\top} \\mathbf{x}\\right) \\cdot t > t$, so the effect of the covariates is to accelerate the _effective_ passage of time for the individual in question. The following plot illustrates this phenomenon using an exponential survival function." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "S0 = sp.stats.expon.sf" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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6z1hbd8jTvKk7gRByjPCyMiu3k7VvmeOcd/dChTUc5k4oAHBZ15GtdGRPutbP2uRzNmnlLv3n4a917SvdZXp48w0AAAAAoHirWKay7uv0hEa0/Zs+//kDTV4zRttStxTozJXbvtbKbV8roWJj3dJ6pPpfMFhR4aUClBgAAAAAAAC+hFRxpW/fvjIMI19llZzrHo9H7dq1U79+/dS9e3dFREQENzQAACEqLjLc8XoKG1eCxoyvJZmmZFl5zniTKK4guMyal8nat1ySneeMfXCt7Np9ZUTFuRcMAFxiGIb6PttZxw6dUNLKXT7nf52fpNLlo3TFkx3+8noGAAAAAADFUVR4Kd3Q4jZdf/FwLdkyT5O+HaO1O1cU6MykQxv1+Py79erSJzXo4tt0U8s7VDm6WoASAwAAAAAAIC8heRtOwzBOf0j/LaTklFbyupaQkKC///3vWrZsmd5++2316dOH0goAAEEUF+X852xKBhtXgsWIjJBZu7rjjLVluzthELKMqEoyKrVyHrK9svYscicQABSCsAiPBo3rpVoXVvFrfu1Hv2rp+O+CnAoAAAAAAHeZhqnuDa/U9JsXa+awVbrqvOsVZhbsHp2HT6ZowqoX1XFcAz00e5g27FsfmLAAAAAAAADIVUgWV6T/FVL+XFg581pMTIwGDx6szz77THPnztXw4cNVqVKlwowNAEDIiIty3riSmklxJZjMBvGO1+29+2UfP+FOGIQsT83ePmes/Stln0p3IQ0AFI6I0uG68a3LVSmhgl/zS8d/r28/+CXIqQAAAAAAKBzNqrfU6P7TtOyeTRrR9m8qF+Xf35fzcso6pVm/fKir3m2jG96/TIs3z5Vl572NHAAAAAAAAPkTksWV3Lar5JRVPB6PunTponHjxmnlypV64okndP755xdyYgAAQo+v4srhjFPy/v+f6Qg8MyHeecCWrK07XcmC0GWUqSmjwgXOQ1aWrOSv3QkEAIWkdPko3TL5SpWvEe3X/LxnV+jnL7YEORUAAAAAAIWnWkxN/aPrv7Ty3q16utcYxccmFPjMNTuWa8SMAeo+4Xy9990EHc86FoCkAAAAAAAAkEK0uJLbdpXGjRvrkUceUWJioiZOnKgePXooPNz5DbMAACB4YiOd/xy2JB1h60rQmHVrSabhOONN2u5OGIQ0s1YfnzNW8lLZ2SddSAMAhSemSlkNmXSlysSW8mv+Pw9/rS2JlEwBAAAAACVb6YgyurHlHfrqzl/0zsDPdWl85wKfuePwVj395QNqP7a+Xvz6USUf3VXwoAAAAAAAACEuJIsrOWWVChUqaMiQIZo1a5ZmzZqlW265RbGxsYUdDwAASIqLivA5k5JBcSVYjKhIGbWqO85YFFfgAjMmQUaMj7slek/I2pfoTiAAKEQV65bXTe9crsgyvm+0YWVbmn7vQu38cZ8LyQAAAAAAKFymYaprg8v1wY1f6ovbvtM1zW5WhMf3zxmcpGUc0TvfvKbO4xvp3s9v1A+7v5XNJngAAAAAAIB8CbniSlhYmHr06KEJEyYoMTFRjz76qBo3blzYsQAAwJ/ERfl+Q2YqxZWg8iTEO1639+yTfYItFwg+s6Y/W1e+km3xNQFAyVfj/Mq6YUIfecJ9v6Rz6mS2PhgxT/u3pLqQDAAAAACAoqFJlWZ6+ap3lDhyi0Z2+KdiS1cs0Hle26t5v32qa6d20tVT2mv2L9OV5c0KUFoAAAAAAIDQEFLFlSeeeEIrVqzQuHHj1LVrV4WFhRV2JAAAkIfykeE+v1FJyeQHQ8FkJtRxHrAla+tOd8IgpBkVzpdK13Qeyjoq+8A37gQCgEJW75Iaum70ZTJMw+fsyaOZmjZsrg7vTnMhGQAAAAAARUelslV1f6cntWJkkp6/fKIaVGpa4DN/Tv5eD86+RZ3GNdS4Fc/r0PEDAUgKAAAAAABQ8oVUcWXw4MEqX758YccAAAB+8BiGykc6b11JYeNKUJn1akuG8xtira3b3QmDkGYYhjy1evmc8+5eKNu2XEgEAIWvaY96uuqZTn7Nph84rmnD5+pYyokgpwIAAAAAoOiJCi+lgRcN04Lbf9DUQV+oY/3LCnzmgWN79fryp9VhbH39Y85t2rBvfcGDAgAAAAAAlGAhVVwBAADFS1wUxZXCZJSKklGrmuOMN2mHS2kQ6oyKLaWoSs5DGQdlH1rnTiAAKAJaXttUPR66xK/ZlO1H9f5t85RxjI11AAAAAIDQZBiGOtTvoSmD5mrhiPW6/qLhigyLKtCZWd4s/efn93TVu210/bRuWvj7TGVb2QFKDAAAAAAAUHJQXAEAAEWW7+IKb7wMNk9CHcfr9q69sk9muJQGocwwPDJr+L4Tonf3Atm27UIiACgaOtx2kdoNa+7XbPKGg/rozvk6lckbaAAAAAAAoa1BpSb61+UTtPLerXqw89OqXNb5Jk7++G7XSt39n+vVZXwTvf3NqzpyMjUASQEAAAAAAEoGiisAAKDIiouKcLyemsnGlWAzE+KdB2xb1h87XckCmFXaSeHlnIeO75J9ZIM7gQCgCDAMQz3/0VYX9W/k1/y2tcn69KGv5M22gpwMAAAAAICiL7Z0Rd3d/hEtH7lZr1w1WedVvbDAZyan7dRLXz+m9mPr6/H5d2vLwd8LHhQAAAAAAKCYo7gCAACKrLhIXxtXKK4Em1mvtmQ4z1hJO9wJg5BnmOEya3T3OWftWuBCGgAoOgzDUN/nuqhRl3i/5n//apvmjlrOhioAAAAAAP5fhCdC/ZsN1uzh3+rDGxepe8MrZPh6cdyHk6dOaPoP76rXWxdqyId9tHTLfFk2N5IAAAAAAAChieIKAAAosmKjnIsrqRlZLiUJXUbpUjJqVHOc8SZtdycMIMms2knylHKcsdM2y0pLcikRABQNnjBTA1+/THVaOv+5nWPdZ7/rq1e/DXIqAAAAAACKF8MwdEl8J7113X+0+K5fdUvre1Q2IrrA567c9rVu/aS/uk84X1PXjtexzPQApAUAAAAAACg+KK4AAIAiKzYqwvF62imvsrzcnSzYzIQ6jtftXcmyMzJdSoNQZ4SVklmti885a/dCF9IAQNESHhWmG9/so6qN4/yaX/HOj1o1eX1wQwEAAAAAUEzFxyboicte1cr7/tATl72qOhXqF/jMHYe36tlFD6ndmLp6dtFD2pG6NQBJAQAAAAAAij6KKwAAoMiKi3TeuCJJqZmnXEgS2jwJ8c4Dli3rj52uZAEkyazeTTKdvz7YqT/JPr7HpUQAUHRERUfq5nevVGztGL/mF760Wj98vjHIqQAAAAAAKL6iI2N0S+t7tPiuX/XuwJlqX7dbgc88lpWuqWvHq9uE83T7J1dr1bYlsm07AGkBAAAAAACKJoorAACgyIqL8l1cScnIciFJaDPr15YM5xkraYc7YQBJRkSMzCrtfc552boCIERFVyqtIZOvVNlKpf2an/34Uv3+9bYgpwIAAAAAoHgzDVNdGvTRtMHztXDEeg26+FZFhZUq0Jm2bH29ZZ5u/rC3er99sab/8K5OnjoRoMQAAAAAAABFh2EXk9t23HzzzY7XDcPQtGnTCnRGUeLP8wEAlFybNm3S448/ftZjzz33nBo1alRIiQpHWla2esz9znHm35c2UsfqsS4lCl0ZL02UvWd/ntfN+JqKfPBWFxMh1NkZh5T9/T8lWQ5TpsJaPicjqpJbsQCgSNm38ZAm3ThLGem+i75hER4NmXyl4ltVdyEZAAAAAAAlw5GTqfrkx8l6//s3tTdtV0DOLBdVQdddNFSDL75dtSrUDciZAAAAAAAAhS2ssAP4a+3atTKM3G/1bdt2ntf8PaMo8ff5AABQ0kWHexRuGjpl5d2zTck45WKi0GUmxMvrUFyxdibLzsySERnhYiqEMiOqooxKrWUf/NZhypK15yt56t/gWi4AKEqqNq6oG9+8XFOHzVF2ptdxNjvLqw/umK/hH/RTtSYVXUoIAAAAAEDxVr5UrEa0/ZuGX3K/vto0R9PWvqHvdq0s0JlHMw7rnW9e07vfjFa3hpfr5pZ3qW3drryHAAAAAAAAFGtmYQc4V7Ztn/URiDOK0gcAAPgfwzAUFxXuOJOaSXHFDZ6EeOcBy5K1LTB3kwP85anZy+eMtX+l7Kw0F9IAQNFUp2U1XT+2p0yP7ze3ZB7L0rThc5Wy46gLyQAAAAAAKDnCzDD1bnK1Ph7ytWYP/1ZXN7tJEZ6C3ejJlq3Fm7/QzR/1Uc83m+v97yfqWGZ6gBIDAAAAAAC4q9gVVwzDOOsjEGcUpQ8AAHC2OB8bPFIyslxKEtrM+rV9zlhJ24MfBDiDUaaGjNjmzkPWKVnJi90JBABFVKPO8er/fFe/Zo+nnNS0YXOVfuB4kFMBAAAAAFAynV/tIv37qne1YmSS7u/4pCqVrVrgM7embNJTC+9XuzF19fSXD+iPlE0BSAoAAAAAAOCeYldcYeMKAAChJdbHxpWUDDauuMEoW0ZGtcqOMxRXUBjMmr19zlh7l8nOPuFCGgAoui7s10i9H23n1+zh3WmaNnyuTh7NCHIqAAAAAABKroplq2hkx38qceQWvdZ3qppVb1ngM49lpeu97yaox8RmuuWjy7Vkyzx5LW8A0gIAAAAAAARXsSuusHEFAIDQEhvpXFxJzaS44hazQbzjdWvHHtlZbMCBu8yY+jJiGjoPeU/K2rfcnUAAUIS1vaW5Ot5xsV+z+zen6oM75ivrJN9rAQAAAABQEBGeCPW9YJA+H7pSn96yXJc3vVYew1Pgc1f8sVi3fXK1uk84T+9+O1pHTx4OQFoAAAAAAIDgKFbFlUBsKSnsjSpsXQEA4NzE+dy4QlHCLZ76dZwHvJas7bvdCQOcwazlx9aVPYtle/l6AQDd72+jlgOb+jW784d9+uS+L+U9xZ1bAQAAAAAoKMMwdHHNSzT26g+0fORm3dn2H6pQKq7A5+48sk0vLH5E7cbW0z/n3aVNB34NQFoAAAAAAIDACivsAP665557isQZAADAXXFREY7XUzJOybZtNpe5wEzwUVyRZG3ZLk/Dei6kAf7HKH+eVKa2dHxn3kOn0mQdWC1Ptc6u5QKAosgwDF05qqNOHsnUhi+3+pzfvHynPv3bYl37ag95worV/U8AAAAAACiyqsXU1N+6Pqt7OjymOb9+rKnfjS9w4eTkqRP6+MdJ+vjHSWpTu6NuanWnejS6SmFmsXlbCAAAAAAAKMGKzSsUFFcAAAhNvjauZHgtnci2VCbc41Ki0GVEl5VRtZLsfQfznLGSdriYCPgvwzDkqdlL3k1vO85Zu7+UWbWDDIOvFwBCm+kxNeCV7jqZlqk/vvG9LW3Dwq0Ki/Do6he7yvRQXgEAAAAAIFCiwkvpuouG6toLb9F3O1fqve8naNHG2fLaBdt+umZnotbsTFTV6Joa3OJ2DbxomOLKVApQagAAAAAAgHPHuw0AAECR5mvjiiSlZGS5kASS760r1o7dsk+dcikN8D9GxRZSVGXnocxDsg99704gACjiwiI8umF8L9U43783rfw0Z7PmjFouy7KDnAwAAAAAgNBjGIZa1+mg8ddM1/KRm3VXu0cUW7rgRZN96bv16rIn1X5sPf1t9nD9nLwuAGkBAAAAAADOHcUVAABQpMVFOm9ckaTUTIoSbjET4p0Hsr2ytvu+czsQaIZhylOzp885766Fsm3edA0AkhRZNkI3vXOFKtYt79f8uk9/1/znVvB1FAAAAACAIKoWU1MPdXlaK+/dqleumqxm1VsW+Mwsb5Zm/vKB+k9uq2umdNDsX6YrMzszAGkBAAAAAAD8Q3EFAAAUabFRvosrKRkUV9zi8bFxRZKspB0uJAH+yqh8qRRRznnoxG7Zh39xJxAAFANlYktpyOQrFVO1jF/zaz78VV++vJryCgAAAAAAQRYZFqn+zQZr5rBV+nzoSvU7/waFm75/ZuLL+j1r9eDsW9RxXAONXva09qZxMyoAAAAAABB8FFcAAECRVirMo9JhHseZ1Iwsl9LAiImWUTnOccbast2dMMCfGGa4zOo9fM5Zuxe4kAYAio/y1aM1ZPKVKl0hyq/5VZN/0tdj1gY5FQAAAAAAyNG8Riu92m+KVt67VQ90ekpVoqsX+MxDx/dr/Mrn1WlcQ9312UCt2raEG1UAAAAAAICgobgCAACKvNhI5zuIpWSyccVNZoN4x+vWjt2yT2W7Ewb4E7NqJ8lT2nHGTkuSdXSLS4kAoHioXD9Wt0y5SlExkX7NL5+4Tssmfh/kVAAAAAAA4EwVy1bRPR0e1fJ7Nmvc1R+pVa32BT7Ta3v15cZZuvnD3rrszWaauna80jKOFDwsAAAAAADAGSiuAACAIi8uykdxJYPiipvMhHjngVPZsnbucSUL8GdGWJTM6l18zrF1BQD+qlqTihoy6QpFlnH+3ivH16+v1aop64MbCgAAAAAA/EW4J1x9ml6jj4d8rS9u+07XXThMUWGlCnzuHymb9eyih9R2TF39c95d+n3/zwFICwAAAAAAQHEFAAAUA76LK1kuJYEkeRLq+JyxtmwPfhAgD2b1bpIZ4ThjH/5F9vHdLiUCgOKjZrMquumdKxRROsyv+YUvrtaaD38JcioAAAAAAJCXJlWa6YUrJmrVfX/okW4vqGY536/h+3Ly1Al9/OMkXfFOK103tYvm/PqxMrMzA5AWAAAAAACEKoorAACgyIuLcn4DOhtX3GWUi5FRKdZxxkra7k4YIBdGeLTMKh18znnZugIAuarTopoGT7xcYZEev+a/eGaF1n36W5BTAQAAAAAAJ+VLxeq2Sx/Ukrt/19vX/Uft63YLyLnrdq/WA7OGqMO4BL2y9EklH90ZkHMBAAAAAEBoCaniyvXXX68ZM2bo2LFjhR0FAACcA58bVzIprrjNTIh3vG5t2yU7O9udMEAuzBo9JMP5Ddf2we9kZxx0KREAFC/1LqmhG97oLU+4fy8dzX5imX6asznIqQAAAAAAgC8e06NuDa/QtMHzteiOn3RTyztVJqJsgc9NOX5AE1e9pE7jG2nEjAFasfUrWbYVgMQAAAAAACAUhFRxZf369Ro1apTatWunhx56SImJibJtu7BjAQAAH+IinYsrqRmnZPFnuqvMhDrOA6eyZe1MdicMkAsjKk5GpdY+pmxZu790JQ8AFEcNOtTWwDE9ZYb5fvnItqX/PPy1fl241YVkAAAAAADAH/UrNtZTvV7Xqvu2aVTP0aoX17DAZ1q2pcWb5+qW6Veox8QLNHnNGB09eTgAaQEAAAAAQEkWUsWVHJmZmZo/f75GjBihjh076pVXXtHWrbyxAgCAoio2KsLxute2lZ7Fdg83+dq4IklW0vag5wCceGr28jlj7V8lO+uoC2kAoHhq0q2urn2luwzT8DlrW7Y+fegrbVyyPfjBAAAAAACA36IjY3Rzq7v05R0/adoN89Sj0VUyjYK/XWR7apL+9dU/1HZMXT36xR3asG99wcMCAAAAAIASKSSLK4ZhyLZt2batgwcPatKkSbriiis0YMAAffTRRzp6lDeuAQBQlMRFOW9ckaSUzFMuJEEOs0I5GXEVHGespB0upQFyZ5SuLiP2QuchO1tW8mJX8gBAcXV+7wRd/WJXGb67K7KyLX1870JtWbEz+MEAAAAAAMA5MQ1T7et115vXfqrl92zWXe0eUVyZygU+NyP7pGasn6Kr3m2jAVM6aubPHyozOyMAiQEAAAAAQEkRksUV6b/llZyPnBLLr7/+qmeffVYdOnTQvffeq6VLl8rr9RZ2VAAAQl5spB/FlQyKK24zE+o4Xrf+2Cmb76VQyMxavX3OWHuXyc4+4UIaACi+LuzbSH2f7ezXrPeUpY/uXqBta/YENxQAAAAAAMi36uVq6aEuT2vlvVs1ut97almrXUDO/XHPGv1tzjC1H1tfLy/5p3Yf2R6QcwEAAAAAQPEWksWVnKKKbduS/ldiybmWlZWlr776SnfddZc6duyol156SRs3bizMyAAAhLRYfzauZGS5kARnMhvEOw9knZK9M9mVLEBezOh6Mso1ch7yZsjau8yVPABQnLW4tqmueLKDX7PZmV59cMc87Vi3N8ipAAAAAABAQUR4InTV+QP1yZAl+uK27zTo4ltVOrxMgc9NPXFIb61+RZ3HN9Ztn/TXsqSF8lrc7AoAAAAAgFAVksWVPxdVcj5y28KSkpKiqVOnqn///urfv7/ee+89paamFvIzAAAgtISbpspFhDnOsHHFfWZCvM8Zb9KO4AcBfDBr9vE5YyUvlu2lAAcAvrQZfIF6PdLWr9msE9l6//Z52v3z/iCnAgAAAAAAgdCkSjM91+cNrb5vm57s+Zrqx/m4KZAfbNlasmW+hn/cV13faKI3V/1bh44fCEBaAAAAAABQnIRUcaVu3bq5blr5c4nlz9dyHv/999/1wgsvqGPHjrrrrru0ePFiZWdnF9rzAQAglMT52LrCxhX3mbHlZcSWc5yxkra7EwZwYJRvIpWp7Tx0Kl3W/lXuBAKAYq7d0AvV7f7Wfs1mHsvSe7d+ob0bDwU5FQAAAAAACJToqHIa0upufXnHT3p/8EL1bNxPHsNT4HN3H92hfy99XO3H1NN9n9+kNTsST79HAwAAAAAAlGwhVVxZsGCBZsyYoUGDBikmJibXoop09haW3K5lZ2dr6dKlGjlypNq3b6/nnntOGzZsKJwnBQBAiIiLjHC8npLJxpXC4GvrivXHTtlerzthgDwYhiFPLT+2ruz5UrZFMR0A/NH5zpbqdGcLv2ZPHs3U1Fvm6EASG2wBAAAAAChODMNQ27pdNGHAJ1o+crPuaf+YKpapUuBzT1mn9MVvM3TD+z3U883mmrJ2nI6ePByAxAAAAAAAoKgKqeKKJDVr1kyjRo3SypUrNXbsWHXt2lUej+d0USWvLSx/vpbz2JEjR/Thhx9qwIABuvLKKzVlyhQdOsRdRAEACDRfG1dSMyiuFAZfxRVlZsnevdeVLIATI+4iqZSPH6hmpsg+9L07gQCgBOh2X2u1G9bcr9kThzM05ZY5Stl+JLihAAAAAABAUFSLqakHOo/SinuTNKb/B2pdu0NAzt2asknPLfqb2o6pq4fn3q6f9nzHFhYAAAAAAEqgkCuu5AgPD9dll12mCRMmKDExUY8++qiaNm2a66aVP5dY/nwt5/EtW7bo5ZdfVufOnTVixAgtXLhQWVlZhfYcAQAoSWIprhRJZkIdnzPepB0uJAGcGYYpT42ePue8uxfIti0XEgFA8WcYhnr+o63aDD7fr/ljB09o8pDZOrwrLcjJAAAAAABAsER4InTFeddq+s2LNf/2HzS4xe0qE1G2wOdmZJ/UZz9N09VT2qvvpEv18Q+TdDzrWAASAwAAAACAoiBkiytnio2N1ZAhQ/T5559r7ty5Gjp0qCpWrJhrUUU6ewtLbteys7OVmJioBx54QB06dNDTTz+tn3/+uXCeHAAAJURcVITj9ZRMyqKFwYirIKNCjOOMlbTdnTCAD0blS6WI8s5DJ5Jlp/7iSh4AKAkMw1CfxzuoxbVN/JpP23dck4fM1tG96UFOBgAAAAAAgq1R5fP0TO9xWnXfNj3V63U1qOjf6wO+bNj3o/45/y61HVNXTy28T5sO/BqQcwEAAAAAQOGhuPInDRo00MMPP6zly5fr7bffVu/evRUREXG6qJLXFpY/X8t57OjRo/r44481cOBA9e7dW2+//bb2799fyM8SAIDiJzbSeePKkcxsZVtsSXCbYRgy68c7zlhbd8rm3w2KAMMMk1njMp9z1u4Fp0vqAADfTNPQVU93UvOrGvo1f2RPuqbcMkfpB44HORkAAAAAAHBDdGSMbmp5pxaM+FEf3rhIfZpcI4/hKfC5xzLT9P73b6rP2y103dQumvXLR8rMzghAYgAAAAAA4DaKK3kwTVMdO3bU6NGjtWrVKj3zzDO6+OKLc9208ucSy5+v5Ty+bds2jR49Wl27dtXw4cM1b948ZWZmFtpzBACgOImLci6u2JIOZ2a7EwZnMRvEOw9kZMrevc+VLIAvZtUOUlgZxxk7favstC0uJQKAksH0mOr/Qled16u+X/Mp249qytA5Op56MsjJAAAAAACAWwzD0CXxnTTumo+04t4k3dfxCVWNrhGQs9ftXq2HZg9VuzH19MLiR7Q9NSkg5wIAAAAAAHdQXPFD2bJldd111+mjjz7SokWLdOedd6p69eo+iyp5XfN6vVq9erX+9re/qX379nryySe1bt26wnyKAAAUeb6KK5KUkpHlQhL8mZlQx+eMN2l78IMAfjA8UTKrdfU5Z+1e4EIaAChZPGGmrn2luxp3jfdr/mDSYU0dOkcnjnCnVAAAAAAASpoq0dV1b8fHtXzkZr157afqUK9HQM49fDJF7347Wt0mnKchH/bRlxtn6ZT3VEDOBgAAAAAAwUNx5RzVrl1b9913n77++mu9//776t+/v0qXLp1rUUVSniWWnMfS09P16aef6sYbb1TPnj01ceJEJScnF9rzAwCgqIqLivA5k5LBDyYKg1ExVioX7ThjUVxBEWJW7yqZzl9T7MO/yj6206VEAFByeMI9GjimpxLa1/Jrft/GFL03fK4y0tlICwAAAABASRRmhqlHo6s09YYvtPTu3zWi7d8UW7pSQM5eue1r3fXZQHUc10CvL39GyUd3BeRcAAAAAAAQeBRXCqBVq1Z64YUXtGrVKr300ktq27bt6VKKdPamFUk+N7Ts2LFDY8eOVffu3XXLLbcU1tMCAKBIKhcRJo/hPJOSSXGlMBiGIU9CvOOMtXWnbMtyJxDggxFeVmbVjj7nvLsXupAGAEqesAiPBo3vpbptavg1v+fXg3r/tnnKPM73cgAAAAAAlGS1K9TTP7r+Syvv3arR/d5T69odAnLugWN7NW7Fv9RpfEONmHGNliUtlNfyBuRsAAAAAAAQGBRXAiAqKkp9+/bV5MmTtXTpUj344IOqW7euz6JKXtcsy9KaNWsK8ykBAFDkmIah2Mhwx5nUjCyX0uDPzIQ6zgMnM2Qn73cnDOAHs0YPyfA4ztiHvpd98oBLiQCgZIkoFa7BE/uo9sVV/Zrf+eM+fXDHPGWdoLwCAAAAAEBJFxkWqavOH6jpNy/WwhHrdXOruxQdWa7A51q2pcWbv9Dwj/uq8/jGGrfiee1L2xOAxAAAAAAAoKAorgRYlSpVdPvtt2v+/PmaMWOGBg0apJiYmFyLKpJyLbEAAIDcxUZFOF5PyeCNjoXF9LFxRZKsLduDngPwlxEZK6PSJT6mbLauAEABRJYJ101vX64aF1T2a3772mS9fzubVwAAAAAACCUNKjXRqJ6jtfq+bXrxird0QbUWATk3OW2nXl/+tDqOa6ARMwZoadICtrAAAAAAAFCIKK4EUbNmzTRq1CitXLlS48aNU9euXeXxeE4XVf5cUskprwAAgNzFRfnYuJLJmxwLi1E5Toop6zjj3brDpTSAfzw1e0pyLo7bB1azdQUACiAqOlI3v3uFqjaO82t++3fJeu/Wuco8xiY9AAAAAABCSemIMrr2wls0a/hqzRy2WtddOEylwksX+Fyv7dXizXN168f91Gl8I41L/BdbWAAAAAAAKAQUV1wQHh6uHj16aMKECUpMTNSjjz6qpk2b5lpeAQAAefNVXEnJ4A2OhcUwDHkS6jjOWEk7ZFuWS4kA34zS1WTEXeQ8ZHvl3TnXnUAAUEKVLh+lW6ZcpUoJFfya3/nDPk27da4y0jODnAwAAAAAABRFzaq30AtXTNTq+7ZpVM/RalCpaUDO3Zu2S68nPqMO4xI0YsY1WrplPltYAAAAAABwCcUVl8XGxmrIkCEaPXq0unfvTnkFAIBzEBsZ4Xg9JYONK4XJrB/vPHDipOy9bK5A0WLW7O1zxj64RvZx7sAHAAVRJraUhk7tq7j4cn7N7/pxv6YNm6uTaZRXAAAAAAAIVTFR5XVzq7u04PYf9MnNS3TVedcrwuP8syJ/WLalxZu/0K2f9D+9hWVv2u4AJAYAAAAAAHmhuOKiY8eOacaMGRo0aJB69eqlr7/+WpJk23YhJwMAoHjwvXGF4kphMhvE+5yxknYEPwhwDszoeBnlz/MxZcu7c7YreQCgJIuuVFpDp/VVhZoxfs3v/vmApt4yRyeOZAQ5GQAAAAAAKMoMw1DL2u00uv80rbz3Dz3c7XnVLl83IGfnbGHpOK6Bbv/kai3ZMo8tLAAAAAAABAHFlSCzbVuJiYl68MEH1b59e40aNUrr16+XbdsUVgAAOEe+iivHs73KyOaHCYXFqFJRii7jOONN2u5OGOAcmHX6+ZyxU36Ulb4t+GEAoIQrV7Wshk67SuVrRPs1n7zhoKbcMkcnDlNeAQAAAAAAUlyZSrr90of09d2/aeqgL9Sj0VXyGJ4Cn2vZlr7eMk+3fXK1Oo5rqLGJzyn56K4AJAYAAAAAABLFlaDZvHmzXnrpJXXo0EEjRozQggULlJGRcbqwYhiGDMMo7JgAABQrcZG+17+nZrJ1pbAYhiGzfh3HGStpB+VdFDlmdLyMuIt8zlk7ZgU/DACEgAo1YzTsPf83r+z7/ZAm3zxLx1NPBjkZAAAAAAAoLkzDVIf6PfTmtZ9q+cjNuq/jE6oWUysgZ+9L360xic+q0/iGuu2T/vp68xfKtrIDcjYAAAAAAKGK4koApaam6r333tPVV1+tvn37aurUqTp06NBfyiqGYfxl4wpFFgAAfPO1cUWSUjIorhQmT0K888DxE7L3HXQlC3AuPLX7SnL+ftw+8puso5vcCQQAJVyFmjEa/kFfxdb2r7yyf3OqJt88W8cOnQhyMgAAAAAAUNxUi6mpezs+ruX3bNK7A2eqe8MrZBoFfzuMZVtasmW+bp9xjTqNa6Qxy59lCwsAAAAAAPlEcaWATp06pUWLFunOO+9Ux44d9cILL+i3337Ltawi6azCSl7XWrRooWeeeabQnhMAAEVVrF/FlSwXkiAvZoLzxhVJsrZsD34Q4BwZZWrIqNTG55y1YxZbgwAgQMpVi9bwD/opLr6cX/MHtqRq0k2zlH7geJCTAQAAAACA4shjetSlQR+9dd1/lDhyi+7vNCqgW1jGrnhOncY31K0f92MLCwAAAAAA5yissAMUVz///LNmzZqlefPmKS0tTZL+skElR16Pn3mtevXq6tevn/r3769atQLzwgkAACVNmTCPIj2mMr1WnjOpmWxcKUxG1UpSmVLS8ZN5zlhJ26WOrd0LBfjJU/tKZR/6TrK9ec7YaUmyD/8qI/YCF5MBQMkVU6Wshr/fT5OHzNahP474nD/0xxFNumm2hr13lWKqlA1+QAAAAAAAUCxVi6mpkR0e013tHlbiH4v08Q+TtHTLfHkdXv/1h2VbWpq0QEuTFqhqdA0NaD5E1144RDXLxwcmOAAAAAAAJRTFlXOwf/9+zZ49WzNnztT27dsl+VdWyetaqVKl1LNnT/Xv319t2vi+uzMAAKHOMAzFRYYr+URmnjMpGRRXCpNhmjIT4mX99HueM96tO05vpgOKEqNUZZlV2snal+g4590xS0aF82QYLLAEgECIrlzmdHnlYNJhn/Mp2/+/vDLtKpWrFu1CQgAAAAAAUFx5TI+6JPRWl4Te2pe2R5/99J4++XGyktN2Fvjsfel7NH7l83pj5QtqX6+brrtwmLo1vEKRYZEBSA4AAAAAQMlCccWHjIwMffnll5o9e7bWrFkjy7L82qCS1zXDMNS6dWv1799fPXv2VOnSpYP7BAAAKGFioyiuFHWehDqOxRWlH5e9/9B/t7MARYxZ63JZ+1dLdnbeQ8d3yk75UUbFFu4FA4ASrmzF0hr2Xl9NvWWO9m9O9TmfuuOoJt04W8Pe66vyNSivAAAAAAAA36rG1NA9HR7Vne3+oRV/fKWPf5ykJZvnFXgLiy1bK/5YrBV/LFZs6Yrqf8FgXXfRUCVUbBKg5AAAAAAAFH8UV/Kwdu1azZw5U4sWLdKJEyck/a+Ucq5lFUmqXbu2+vbtq379+qlGjRrBjA4AQIkWFxXueD0lI8ulJMiLmRDvc8ZK2i6T4gqKICMyVma1LrKSv3Kc8+6YJSPuIrauAEAAlY0rraHT+mrq0DnatzHF5/zh3WmadNMsDZvWVxVqxbiQEAAAAAAAlAQe06POCb3UOaGX9qcnn97CsufojgKfnXrikCatGaNJa8aoRc22uu6ioerT5BqVjigTgOQAAAAAABRfvMvqDDt27NCYMWPUrVs3DRkyRLNmzdLx48dl2/bpbSk5xZScx84ss/z5WpkyZTRgwAB98MEHWrRoke6++25KKwAAFFBcZITj9ZRMNq4UNqNaZal0KccZK6ngP/wBgsWs1VvyRDoPndwn+8C37gQCgBBSJraUhk7rq+rn+VdwPbInXZNumqXUnUeDnAwAAAAAAJREVaKr6+72j2jp3b9r8qA5uqxRX3kMT0DOXrd7tR6ee5sufb2OHp9/t35OXnfWjVEBAAAAAAglIb9x5dixY5o/f75mzpyp9evXS/Jvg0pe10zT1KWXXqr+/furR48eioqKCl54AABCkK+NK6kZFFcKm2GaMuvXlvXLpjxnvEnbTxeDgaLGCI+WWb2HrF1fOM55d86RUam1DDPk/1oFAAFVunyUbplypaYN/0J7fjngc/7o3mOadOMsDXuvr+Liywc/IAAAAAAAKHE8pked6vdUp/o9dSB9rz79aVrAtrAcy0rX9B/e1fQf3lWTKs008KJhuuq861WuVIUAJAcAAAAAoHgIyY0rlmVp+fLleuCBB9S+fXuNGjVK69ev/8tmldy2q+R1rU6dOnrggQe0dOlSTZ48WVdeeSWlFQAAgiA2ysfGlYws7lZVBHgS4p0H0o7JPpjiShYgP8waPaSw0s5DmSmy9q9wJxAAhJhS5f5bXql1YRW/5tP2H9ekG2fp4B+Hg5wMAAAAAACUdJWjq+nu9o9o2T0bNWXQXPVs3C9gW1h+3/+znlp4vy4dE6+HZg3Vmh2J/FwLAAAAABASQurWwJs2bdKsWbM0d+5cpaT8942SeW1Q+fMLA7ldi4mJUe/evXX11VerefPmwYwOAAD+n6+NK1mWrWOnvIqOCKlvc4oc01dxRZK1ZbvMyhWDHwbIByOstMyavWRt/9xxzto1T2bltjI8kS4lA4DQERUdqZsnXan3b/1CO3/c53M+/eAJTb5ploZO66vKCbEuJAQAAAAAACWZaZjqWP8ydax/mQ6k79VnP72nT36cpN0B2MKSmZ2hWb9+pFm/fqT42ARdd+FQXdPsJlUs699NPAAAAAAAKG5CauNK3759NXXqVB06dCjXDSpnblaRlOt2FdM01bFjR7322mtauXKlnn76aUorAAC4yFdxRZJSM0+5kAROjBpVpFLOb+S3kgr+gx0gmMxqXaXwGOehrKOy9i5zJQ8AhKKoshG6+d0rVKdlNb/mjx06qck3zdb+zWx2AwAAAAAAgVM5upruav+wlt6zUdNumKc+TQco3PT9Myt/bE9N0stL/ql2Y+vpzk+v09KkBfJa3oCcDQAAAABAURFSxZUcuRVSnMoqtm0rISFBf//737Vs2TK9/fbb6tOnjyIiIgrtOQAAEKriIn3/+ZuSkeVCEjgxTFNm/TqOM96k7X/ZcgcUJYYnUmatPj7nrN0LZGefdCERAISmyLIRuvmdK1S3TQ2/5o+nntTkm2dr78ZDQU4GAAAAAABCjWmYal+vu8Zd/aFW3bdNj3V/SQkVGwfk7GwrW4s2zdatH/dTx3ENNXrZ09p9ZHtAzgYAAAAAoLCFZHFFUp7bVc68FhMTo8GDB+uzzz7T3LlzNXz4cFWqVKkwYwMAEPJi/di4kpLBxpWiwEyIdx44mi77UKorWYD8Mqt2lCJjnYeyj8tK/sqdQAAQoiJKh+vGt/qoftuafs2fOJyhKUNmK/m3g0FOBgAAAAAAQlVcmUoafsn9WjhivWYMWaYBzYeoVHjpgJy9L323xq98Xp3HN9YtH12u+b/9R5nZmQE5GwAAAACAwhCSxZXctqvklFU8Ho+6dOmicePGaeXKlXriiSd0/vnnF3JiAACQI9Jjqmy4x3GG4krR4Elw3rgiSVbSDheSAPlnmOHy1LrS55y15yvZp465kAgAQldEqXANnthHCe1r+TV/8kimpgyZoz2/HAhyMgAAAAAAEMoMw1CLWpfqpSvf1jf379CzvcfrgmotAnK2LVsr/liskZ/foHZj6urZRQ9p4/5fAnI2AAAAAABuCsniSm7bVRo3bqxHHnlEiYmJmjhxonr06KHwcN93dAcAAO6Li3T+MzolM8ulJHBi1KgqRUU6zlhJ290JAxSAUeVSqVQV5yFvhqzdC90JBAAhLDwqTDdM6K2GnWr7NZ+RlqmpQ+do10/7g5wMAAAAAABAio6M0Q0tbtOs4as199a1uqnlnYqJKh+Qsw+fTNHUteN1+Tst1W9SW3247i2lZRwJyNkAAAAAAARbSBZXcsoqFSpU0JAhQzRr1izNmjVLt9xyi2JjYws7HgAA8CEuKsLxOhtXigbD45FZz/lNpVbS9tPb8ICiyjA88tTu63PO2rtEduaR4AcCgBAXHhmmQeN7q1GXeL/mM9KzNG3oHO38YW9wgwEAAAAAAJyhadXmeqrX6/rmvu16te8UtandMWBn/7J3nZ5ccK8ueb2OHpg5RKu3LZVlWwE7HwAAAACAQAu54kpYWJh69OihCRMmKDExUY8++qgaN25c2LEAAMA5iI1y3riSSnGlyDAT6jhetw+nyU494k4YoACMii2kMjWdh6xTsnbPcycQAIS4sAiPrh/bU0261/VrPvP4KU0b/oV2fE95BQAAAAAAuCsqvJT6XXCDPrr5Ky2+8xeNaPs3VSzjY8u3nzKzMzRnw8e66cNe6jK+scYl/kvJR3cG5GwAAAAAAAIppIorTzzxhFasWKFx48apa9euCgsLK+xIAAAgH+J8FFdSMrJcSgJfPA3ifc5YSduDngMoKMMw5anTz+ectW+F7IyDwQ8EAFBYhEcDX79M5/Ws79d81olTeu+2udq2dk+QkwEAAAAAAOSublxD/aPrv7Ty3q2aMGCGOif0kmkE5q07u4/u0OuJz6jjuIYa8mEffbHhU2VmZwTkbAAAAAAACiqkiiuDBw9W+fLlCzsGAAAooLioCMfrqZlsXCkqjJrVpEjnf1/Wlu3uhAEKyKjQTEZ0Pech2yvvzrnuBAIAyBPu0bWv9dAFlyf4NZ91Ilvv3zZPW7/ZHeRkAAAAAAAAeQv3hKtn476adP1sLb9ns+7vNEo1yjlvsfeXLVsrt32t+2beqEtfj9dTC+/Xhn3rA3I2AAAAAAD5FVLFFQAAUDLERTpvXDmceUpe23YpDZwYHo/MurUcZ6ykHS6lAQrGMAyZdfr7nLMPfCv7xF4XEgEAJMkTZuqal7ur2ZUN/Jo/lZGtD26fp41Ltgc3GAAAAAAAgB+ql6ulkR0e07J7NmrqoC/Up8k1Cjedfxbmr6MZh/X+9xN11bttdNW7bfTedxN05GRqQM4GAAAAAOBchBV2ALe89NJL+vbbb3O99uijj6p169YuJwIAAPkVF+X8Yr3Xlo5mZivWxxzcYTaIl7Vxa57X7dQjslKPyIwt714oIJ/M8o1llWsi++jvDlO2vDtmK6zJHa7lAoBQ5wkzdc1L3eQJM/XjzE0+57OzvJp+zwJd/WI3Nb+qoQsJAQAAAAAAnJmGqQ71e6hD/R5KOX5QM3/5QJ+un6qkQxsDcv6Gfeu1Yd96vbD4YfVo1FfXNh+itnW7ymN6AnI+AAAAAABOQqa48u233+r333+XYRiyz7gDe/Xq1dWqVatCTAYAAM5VbFSEz5mUzCyKK0WEmRDvc8ZK2i6z9YVBzwIEghnfT96fnIorkp2yTvaxHTLK1nEpFQDA9Jjq93xXmR5T6z5z/jotSZbX1n/+sVgZ6VlqM/h8FxICAAAAAAD4J65MJd16yQMa3uZ+rd+zVp/+NFXzNnyqY1npBT47y5uleb99qnm/farqMbV1TfObdE2zm1SrQt0AJAcAAAAAIHdmYQdwy969e2UYhiSd9Z/du3c//WsAAFA8xEX6LqSkZJxyIQn8YdauLkU4/zuzkna4lAYoODO6nozY5j7nvDtmBT8MAOAspmnoqmc7q+XApn7N27b0xTOJWv7WurNudAIAAAAAAFAUGIahi2q20fOXT9Q39+/Qv6+apDa1Owbs/OS0nRq34l/q/EZj3fhBT83+ZboyTp0M2PkAAAAAAOQImeLKsWPHcn28eXPfbzgDAABFS/nIcPmqnaZSXCkyDI9HZt1ajjPWlu3uhAECxFOnn+TjK5F9+FdZR7e4kgcA8D+maejKpzqp9Q3+b1FZ/NoaLfr3N5RXAAAAAABAkVU6ooyubnajPrr5K3191wbd2e5hVYmuHrDzv9m+TA/OvkWXvF5Hj8+/W+v3rOW1EgAAAABAwIRMccXj8eT6eJ06dVxOAgAACirMNFTex9aVlIwsl9LAH2ZCvON1O+Ww7MNH3QkDBIBRpqaMSq18zlk7ZvGDPQAoBKZp6IonO+jSm5v5/TkrJ63XnCeXy/JaQUwGAAAAAABQcPGxCfpbl2e0YmSSJl0/W72bXK1w0/lnZ/5Kzzyq6T+8q2umdFDPN5vrrdWvaH96ckDOBgAAAACErpAprpQuXTrXx6Ojo11OAgAAAiEuyldxhY0rRYnZIN7njDdpR/CDAAHkqX2VfP2Vyk7bLPvIb+4EAgCcxTAM9X6snTrecbHfn/P9jN/06UNfKTvLG8RkAAAAAAAAgeExPeqc0Evjr5mu1fdv1+OXvaJGlf3fQuvL1pRNennJP9V+bH0NnX6l5v32mTKzMwJ2PgAAAAAgdIRMcaV8+fK5Pp6Vxd3YAQAojuJ8bVzJ5M/4osSsXV0KD3OcsZK2uxMGCBCjVBUZVdr5nLN2zGTrCgAUEsMw1OOBS9Tz75f6/Tm/Ltiqj+5aoKyTFKEBAAAAAEDxEVu6ooa2Hql5t32vmcNWa3CL2xUdWS4gZ1u2pcSti3Tv54N1yet19OSCkfppz3e89g0AAAAA8FvIFFfi4+Nz/QvzoUOHCiENAAAoqLioCMfrqWxcKVKMsDCZdWs5zlBcQXHkqXW5ZDiXsuxjO2Sn/OhSIgBAbtrfepH6PttZhuHf/JYVO/Xe8C+UkZ4Z3GAAAAAAAAABZhiGmlVvoWd6j9O39+/Q6H7T1Da+S8DOT8s4og/Xva2rp7RX77cu0tvfvKoD6XsDdj4AAAAAoGQKmeJK/fr1c308JSXF5SQAACAQ4qJ8bFyhuFLkmAnxjtftg6myj6a5EwYIECMqTma1Tj7nvDtny7YtFxIBAPLS8rqmuva1y+QJ9+/lsB3r9mryzbN1LOVEkJMBAAAAAAAER1R4KV11/vV6/8aFWnb3Ro3s8E9Vi3G+0di52HLod7309WNqN7aehn/cV/N/+48ys7kRCAAAAADgr0KmuHLJJZfk+vi6detcTgIAAAIhNtJHcSWT4kpRYybU8TnjTdrhQhIgsMyafSTTeQuUTiTLPrjWnUAAgDxd0CdBgyf0UXiU87asHHt/O6R3b5ilI8npQU4GAAAAAAAQXLUq1NX9nZ7U8ns2adoN83RF0+sU4fHx2rafLNvSsqSFGvn5Dbr09Tp6auF9+jl5nWzbDsj5AAAAAIDiL2SKK61atVKpUqVO/9owDNm2rWXLlhVeKAAAkG++Nq6kZWUry8t2g6LErFNDCvM4zlhJ290JAwSQEREjs3p3n3PenXNkW9kuJAIAOGnQsbaGTLpSkWX9e2NGyvYjeveGmTq07UhwgwEAAAAAALjAY3rUvl53jbn6fX1z/w6N6jlaTas0D9j5RzMO6/3v31T/yW3V++2L9c43r+ngsX0BOx8AAAAAUDyFTHElMjJSV1xxxV/u5rBv3z6tWbOmkFIBAID8iovy/UbDw2xdKVKM8HCZ8c7r5y02rqCYMmteJnlKOQ9lHJS1f5U7gQAAjuq0rKZh7/dVmVgfX7v/39G9x/TuDTOV/NvBICcDAAAAAABwT/lSsbq51V2ae9tazb11rYa2HqnY0hUDdv6Wg7/pxa8fVbsx9XTbJ/218PeZyszODNj5AAAAAIDiI2SKK5I0ZMgQmebZT9m2bb344ousJwUAoJiJ9bFxRZJSMiiuFDVmQh3H6/b+Q7LT0l1KAwSOEVZGZs2ePuesXV/ItvjaBABFQfWmlTT8w34qV62sX/PHU09qys2ztWPd3iAnAwAAAAAAcF/Tqs31+GWvaNV92zTx2hnq3vBKhZlhATnba3u1ZMt83f2f69V2TLyeWni/ft37I+/VAQAAAIAQElLFlYSEBF1//fWn/+JrGIYkaePGjXr33XcLMxoAADhHcX4VV7JcSIJzYSbE+5zxsnUFxZRZvZsUHu08lHVE1t5lruQBAPhWqV4F3fpRf8XFl/drPiM9S9OGzdWWxJ3BDQYAAAAAAFBIIjwRuqxRX7113Wdadd82Pd7j32pc+YKAnX/kZKre/36i+k66RJe/01LvfPOaDqRzoxAAAAAAKOlCqrgiSQ8++KBq1659+teGYci2bb322mv65JNPCjEZAAA4FzHhYQr7/xJqXlIy2WpQ1JjxNSWPx3HGoriCYsrwRMms2cfnnLVrvuzsDBcSAQD8Ub56tG79qJ+qNqno1/ypjGx9eNd8/bogKcjJAAAAAAAAClfFMpU1tM29+uK27zTn1jUa0upuVSgVF7DzNx34VS9+/ajaja2nodOv1JxfP1HGqZMBOx8AAAAAUHSEXHGlbNmyevPNNxUTE3P6sZzyytNPP60xY8YoK4u7swMAUNQZhuFz60pqBsWVosaICJcZX8Nxxkra7k4YIAjMap2kiArOQ9nHZCUvdicQAMAvZeNKa9h7fVX74qp+zXtPWZrx4Ff6/tPfgpwMAAAAAACg8BmGofOqXqgne76m1fdv14QBn6hbg8vlMZxvVuYvy7aUuHWRHph1s9q8XluPfnGH1u5YIcu2AnI+AAAAAKDwhVxxRZLq1aunadOmqWLFirJtW9J//5JtWZbefPNN9evXT4mJiYWcEgAA+OKruJKSQRm1KDIT4h2v2/sOyk4/5k4YIMAMM1ye2lf4nLP2LJJ96rgLiQAA/ioVE6khk69UQvtafs3blq3Zjy/Tykk/BjkZAAAAAABA0RHhiVDPxv309sDPtfq+bXqs+0tqWOm8gJ1/LDNNM9ZP0aD3u6vrG030+vJntD2VzbcAAAAAUNyFZHFFkho3bqwZM2aoVatWZ5VXbNvWH3/8oREjRqhr164aO3asfv75Z7awAABQBMVFRTheT8lk40pR5Ku4IklW0o7gBwGCxKjcVoqq7DzkPSlrz5fuBAIA+C2iVLgGT+yj83rV9/tzvnz5Gy0eveb060sAAAAAAAChomLZKhp+yf2af/s6zRr+jW5qeafKl4oN2Pm7jmzXuBX/UrcJ5+naqZ01/Yd3lZZxJGDnAwAAAADcY9gh9FP18ePH/+Ux27Y1c+ZMJScnyzCM04/lyHnM4/GoXr16io+PV9myZRUdHa0yZcrINIPX/bnnnnuCdjYAoGjbtGmTHn/88bMee+6559SoUaNCSlQ0Pb9uq2ZvP5Dn9WZx0Xqn8/kuJoI/7KwsZTz8ouTNe727p2NrRQzo42IqILCsA2vk3fyu85AZobCWz8uIKOdOKACA3yyvpTlPLte6z373+3PaDD5ffR7vINM0gpgMAAAAAACgaMvMztTSLfP12U/TlLh1kby2N6DnR3gi1b3Rlbr6gsFqX6+Hwj3hAT0fAAAAABAcYYUdwE3jx48/XUTJzZmbV/78WHZ2tjZv3qwtW7YEN+QZKK4AAOAsNsr5hejUDDamFUVGRITMOjVk/bErzxkrabt7gYAgMCq1knYvkE7syXvIypK1a7489Qe5FwwA4BfTY6rvc50VFROpVZPX+/U5az78VRnpWer/fBd5wj3BDQgAAAAAAFBERYZFqleT/urVpL8OpO/V7F+n6z8/vacth/y/QYiTLG+m5v/2meb/9pniylRW3/OvV/8LblSTKs0c3xMEAAAAAChcwVsXUoTZtv2Xj9yuS/8tseR85PW5wfgAAAC+xUVFOF5PyTjlUhKcKzMh3vG6nXxA9rHj7oQBgsAwTHnq9PM5Z+1LlJ2REvxAAIBzZhiGev7jUnV/oI3fn/PTnM2aPvJLncrMDmIyAAAAAACA4qFydDXddumDWjDiR80ctko3thihmKjyATs/5fgBTV4zVle+21qXv9NS73zzmg6k7w3Y+QAAAACAwAnJ4sqZZZQzSyl/9uciSW6fF4wPAADgnzgfG1dOei2dyA7s+nEEhlm/js8Za+tOF5IAwWPENpdRtq7zkJ0t76657gQCAJwzwzDU6Y4WuuLJDn5/zqal2/X+rV8o8xjb/wAAAAAAAKT/vsbSrHpLPd17rL69f4fGXzNd3RpcLo8RuK21mw78qhe/flTtxtbT0OlXas6vnyjj1MmAnQ8AAAAAKJiQLK7kZ8MJm1YAACh64iKdiyuSlJLBGwaLIrNeLcl0/lbUm7TdnTBAkBiGITO+n885e/83sk/sC34gAEC+tRl8ga55uZtMj383HNm2NllThszW8VTeHAEAAAAAAHCmyLAo9W5ytd4e+LlW379dj1/2is6relHAzrdsS4lbF+mBWTerzeu19egXd2jtjhWybCtgvwcAAAAA4NyFZHHFrc0pbFsBACC44qIifM6kZpxyIQnOlREZKaN2dccZi+IKSgCjXBMZ5Rr5mLLk3TnHlTwAgPy7sG8jXT+ul8Ii/LsT6J5fD2rSTbOUtv9YkJMBAAAAAAAUTxXLVNbQ1iM159ZvNf/2H3TbpQ+qctlqATv/WGaaZqyfokHvd1eX8Y312rKn9EfKpoCdDwAAAADwX0gWV9zansLWFQAAgis2yo+NK5kUV4oqT0Idx+t28n7ZJ7hLOYo3wzBk1unnc84+9J3sY7uCHwgAUCBNutXVTe9coYjSvr8PlaSDSYf1zqCZOrj1cJCTAQAAAAAAFG+NKp+nR7q9oJX3btXUQV+o7/mDFBVWKmDn7z66Q2+sfEE9JjZT/8ntNHXteB06fiBg5wMAAAAAnIUVdgA3tWrVqrAjAACAACod5lHpMFMnsvNe7Z3CxpUiy0yIlxavynvAlqykHfI0a+xaJiAYzJgEWRUukH34F8c57/bP5DnvfjYxAkARV++SGho67Sq9d9sXOnkk0+f8kT3peueGzzV4Qh/VaRG4O4YCAAAAAACURB7Tow71e6hD/R5Kz0zTl7/P1Oe/fKg1O5YH7Pf4Ofl7/Zz8vZ7/6h/qUL+H+l0wWN0bXqFS4aUD9nsAAAAAAM4WUsWV999/v7AjAACAAIuNDNeJ7LzfMJiSkeViGpwLs15tyTQkK++Nc96NWymuoETw1OmnbB/FFfvIb7IP/ywjtrlLqQAA+VWzWRUN/6C/pg2do/SDJ3zOnzySqalD5+jaV3uoaY96LiQEAAAAAAAo/qIjYzTgwiEacOEQ7T6yXbN+ma6Zv3yg7alJATnfa3u1LGmhliUtVJmIsurZuL/6XXCDLqnTSR7TE5DfAwAAAMD/sXff4VGUXRvA79nd9EIKIRAgCaEECCVA6L0XlSpSBEQEFETBXsAKCqhgQZQmIChFelVaKKEXaaEEQnpoCSGkl92d7w8/eFGys7vJzmQ3uX/XxaXOc57nnKwBNsmcOUT/UJV2AUREREQl4eVoL7mexokrVktwdIBQTfqp4/pLURBFw40tRLZCcPWHUDHMaJwu5g+Ieq0CFRERUUn51vbC2NUD4Fnd3aR4bb4Oa177Cyd+l25kJCIiIiIiIiKiJ1XzCMSk9h9g74RIrB99CMObjoO7o4fFzs8uyMLGCysx6vfe6DCvNmbt+wBX7/D7OERERERERJbCxhUiIiKyad6OdpLr99i4YtXUwdJPHBfvZ0BMvq1QNUTyUvv3AyBIB+Xdhf5muCL1EBFRyXlVr4BxqwagUh0vk+JFEdj+eQR2zznG5lwiIiIiIiIiomIQBAFNqrXE9D4/4viUBMwftAZdaz8FjUpjsRy3M5Ox+NhcPLU4DE8tCsOiY3NwKyPJYucTERERERGVR2xcISIiIpvm7WCkcSW/QKFKqDjUDYKNxuguRilQCZH8BOfKUFVubzROn7gdYkGGAhUREZEluFVywUsr+6NaY1+T90QsOosN7+2DtkAnY2VERERERERERGWbg8YBveoNwKIhG3Fkciw+6jEHDao0tWiOq3cvYva+D9H+h1oY+VsvrD+/Apn5/B4+ERERERGRudi4QkRERDbN29Fecp0TV6ybEFAVcHORjNFduqZQNUTyUwX0B9RO0kG6XOjiNytRDhERWYizhyNGL+uLWu2qm7zn/JZr+O3lHcjLYqM1EREREREREVFJVXSphNEtJmHLS8ewc/zfGN/6Lfi6+VnsfBEijsbtx3vbxqHVt/6YvHEk9l/fiUIdfxZJRERERERkCjauEBERkU3zdpSeuJKWVwhRFBWqhswlqFRQh9SRjBETbkJ8wCdXUdkg2LlB5f+M0TjxzmGIWQkKVERERJbi4GKHEQv6oMkA4xPlHrpxNAm/jNiMzLvZMlZGRERERERERFS+BFcKwXtdv0TEa9FYMXwnBjYaCRd7V4udn6fNxfbLf2Ds2gFo830NfLbrDVy4eZo/kyQiIiIiIpLAxhUiIiKyacYmrmhFERmFWoWqoeJQN5BuXAEAXSSnrlDZoarSGXCqbCRKhC5mDX/IRURkY9R2agyY2QUdJzQzec/tK6lYNHQjUm7cl7EyIiIiIiIiIqLyR61So21QV3zddwmOT0nAt/1XoGPNnlALaovlSMtJwYpTP2HA0rbo/nNDzIv4Eon3Yy12PhERERERUVnBxhUiIiKyacYmrgDAvTyO6LZmquCagEb6BwS6yCiFqiGSn6DSQF3jOaNxYsZ1iPfOKFARERFZkiAI6DalJfp+1hGCSjBpT3pyJhYP34j4M7dkro6IiIiIiIiIqHxytndB3wZDsHTYVhydHItpPb5BwyqmP3zEFLFp1/Hdwc/QaX5dPLu8I1ae/hn3slMsmoOIiIiIiMhWsXGFiIiIbJqXg/HGlTQ2rlg1wcEeqjpBkjH6a7EQ8wsUqohIfiqvhhA8GxiN08Wug6jj5z4RkS1qPjQEw37sBTtHjUnxuen5WP7iVlzeEyNzZURERERERERE5VtFV1+82OI1bH7pKHa/ch4T276PqhUCLJrjbNJxfPrXFLT+LgBjVvfF5ourkF2QZdEcREREREREtoSNK0RERGTTvEyauMKbvq2dumGwdEChFvoo3sRJZYu6xnOAID1tCPlp0CfvVqYgIiKyuHpda2D08r5w9nA0KV6br8Oa1/7Cid8jZa6MiIiIiIiIiIgAoGbFunir82c4MOkq1ozah6FNXoK7o4fFzteJOhy8sQtvbXkRLeZWw+SNIxF+fQcK+NAqIiIiIiIqZ9i4QkRERDbNTqWCu730U6zvceKK1VOH1DEao4uMUqASIuUIzlWgqtLZaJw+6U+I+WkKVERERHLwb1IZ49YMhGc1d5PiRRHY/vkh7Jl7HKIoylwdEREREREREREBgEpQobl/O3zx1E84PiUePz27Fj2C+8FOZfwheqbK0+Zi++U/MG7tQLT5LhAf7ZyEUwmHoRf1FstBRERERERkrdi4QkRERDbP20H6G8b38tm4Yu0ED3cI1atIxuguXYOo5zfuqWxR+T8NaFylg/QF0MVtVKYgIiKSRcUaHhi3ZiD8QnxM3nNo4d/Y+H44tAU6GSsjIiIiIiIiIqL/ctA4omfd/vh58B84/kYCpvf+EWHV21o0x/3ce1j192IMXdEVHecF4+vwaYi6yym8RERERERUdrFxhYiIiGyet6ORxpU8jtq2BeoGwdIBmdkQE24qUwyRQgSNC1QB/YzGiSknoM+4oUBFREQkFzcfZ4xZ0Q+12lU3ec+5zVH47ZUdyM/i+1kiIiIiIiIiotLg4eSF4c3GYe0L4dj/6hW80fFT1PCqbdEcNzMSsODo1+izqBn6LGqGBUe+RnJ6vEVzEBERERERlTY2rhAREZHN83a0l1y/l8eJK7bAaOMKAF1klAKVEClLVbkD4FzNaJw+Zg1EkVOHiIhsmYOrPUYs6IMmA4y/73noxpEk/DJyMzLvZstYGRERERERERERGePvGYRJ7T/AngkXsWnMEYxqPhFezqZP2DVF1N1IfL1/Gjr8WAdDfu2CVWcW4X7OPYvmICIiIiIiKg2a0i5ASZs3by7tEszSv3//0i6BiIjIJhibuJKWz8YVWyBUqwzBwx1ieobBGF1kFOye7qpgVUTyEwQV1EFDoIucIxknZsVBvHscgm8bhSojIiI5qO3UGDCzC9wru+Lgz2dM2nPrcioWDd2IUYufhk9NT5krJCIiIiIiIiIiKYIgoJFfGBr5heHDbl/hcOxebL6wCnuvbUOeNtdieU4nHsHpxCP4bNcb6FCzB/o2GIautZ+Cs72LxXIQEREREREppVw1rrz//vsQBKG0yzAZG1eIiIhM4+Ug3bjCiSu2QRAEqBrUge7waYMx4s270N+7D5U3b9ikskXlURd676YQ7/0tGaeL2wjBuykEjaNClRERkRwEQUC3KS1RobIrtn12CKJeNLonPTkTi4dvxIif+8C/aRUFqiQiIiIiIiIiImPs1HboXKs3Otfqjaz8TOy9tg1bIlfjSMw+6ESdRXJo9VqEX9+J8Os74Wzngh7B/fBMgyFoW6Mr7NTSPyclIiIiIiKyFqrSLqA0iKJo9b+IiIjIdN6O9pLr6fmF0JpwMyCVPnWDYKMx+sgoBSohUp66xrOAYOTZAoUPoE/aqUxBREQku+ZDQzDsx16wczTt2TK56flYNnorLu+NkbkyIiIiIiIiIiIyl6uDG/o3HI5lw7bh6JQ4fNLzWzSp1sqiOXIKs7E5chVeWtMPbb6vgU//mozTiUehF/UWzUNERERERGRp5bJxRRAEq/5FRERE5vFylH6SkIh/mlfI+qlqBwL20v8/dZHXlCmGSGGCow9UVXsYjdMn74GYl6JARUREpIR6XWtg9PK+cPYwbZqWNl+HNa/twonfI2WujIiIiIiIiIiIiquiSyWMaj4R60cfxP5Xr+CNjp+iprfxB7iZIy0nBStPL8CQXzuj47xgzNr3AS7dPscH5hIRERERkVUql40rpT1NhZNWiIiILMvbSOMKANxj44pNEOzsoKpXSzJGfz0OYm6eQhURKUtVvTdgX0E6SNRCF7temYKIiEgR/k0qY9yagfCs5m5SvKgXsf3zQ9gz9zi/n0REREREREREZOX8PYMwqf0H2PXKeWwdewJjW72Bym5VLZrjZkYCFh+bi75LWqLHgkb4/uB0xNyLsmgOIiIiIiKikiiXjSvWNDWF01aIiIhKztvB3mjMvbwCBSohS1A3qCMdoNdDdyVamWKIFCaoHaEOGGg0Trz3N/TpVxSoiIiIlFKxhgfGrRkIvxAfk/ccWvg3Nr4fDm2BTsbKiIiIiIiIiIjIEgRBQEjlUHzQbRYOvXYdv43YhedCx8Dd0cOieWLuXcMPETPQ/edG6LukJRYdm4ObDxIsmoOIiIiIiMhc5bJxRQmmNrPwqZhEREQlV8FBA7WR/s97eZy4YivU9esARv5/6iP5hCgqu4RKrSC41jAap4tZC1HkjcpERGWJm48zxqzoh1rtqpu859zmKPz2yg7kZ7FRm4iIiIiIiIjIVqhVarQO7ISZT/+M41MS8PPgP9C73kDYqx0smufS7XOYve9DtJ9XG88t74yVp39GavZdi+YgIiIiIiIyhaa0C1CSn5+f7Dny8vKQkZEBrVb7r+v/bV4RRRGCIMDDwwNOTk6y10VERFSWqQUBng52SJVoTmHjiu0Q3FygCqwOfWyiwRjd5esQdToIarWClREpQxBUUAUNge7CLOnAnGTob0dAXaWTInUREZEyHFztMWJBH2z56ADObjKtWffGkSQsGbEZoxY9BbdKLjJXSEREREREREREluSgcUCP4H7oEdwPmXkPsCtqC7ZFrsHRuP3Qi3qL5TmTdBRnko5i+q630KZGZzxd/zn0qNvP4hNfiIiIiIiIilKuGlfCw8MVy5WdnY24uDj8/fffOH36NPbv34+CgoJHzSuCIEAURTg5OWHu3LkIDQ1VrDYiIqKyyNvRXrJxJS2fT6C2JaoGwZKNK8jJgz4mEeragYrVRKQklXtN6H1aQUw5Lhmnj98ClU9zCBrepExEVJao7dQYMLML3H1dcXDBGZP23L6SioXPbcDzC/qgSt2KMldIRERERERERERycHOsgGcbj8KzjUfhbuYt7Li8DlsvrcWFm6ctlkMn6hARsxcRMXvx0Z+T0LFWLzwTMgRdaveBk52zxfIQERERERE9TlXaBZRVLi4uCAkJwciRI/H999/jwIEDePXVV+Hm5gZRFAH807xy69YtjBgxAuvWrSvliomIiGybl4Od5DonrtgWdYM6RmP0l0x7AjmRrVIHDgRU9tJB2izoE7YpUxARESlKEAR0e6Mlnvm0AwSVYHwDgAe3srBk2CZE7Y+TtzgiIiIiIiIiIpJdJbcqeLHl69g05gj2TriIyR0+QqBXLYvmKNAVYE/UVry+8Xm0mFsNb2x6AeHXd6BAx4cCEhERERGRZbFxRSFeXl547bXXsHnzZjRt2vRR84ooitBqtfj444+xdOnSUq6SiIjIdnk7SjeupLFxxaYIlX0gVPSUjNFdZOMKlW2CgydU1XobjdPfOgAx55YCFRERUWloMawBhs3rBY2D2qT4gpxC/D5hJ44uP//o+09ERERERERERGTbanjXwesdpmHvhEhsGnMEL7WcjMpuVS2aI6cwG1svrcG4tQPR+rsAfLhjAo7G7odOr7NoHiIiIiIiKp/YuKIwPz8//PbbbxgwYABEUYQgCBAEAaIo4uuvv8a2bXxaMhERUXF4GWlcuZfHpwLZEkEQoGoQLBkjpqRBfydVoYqISoeqag/AwVs6SNRBF7OWNycTEZVh9brVwIu/9oOzh6NJ8aII/DnzCLZ+chC6Qt5YQERERERERERUVgiCgEZ+Yfiw+1eIeD0aq0buwbCmY+HpZORnCWZKz03D2rNLMfL3Xmj3Q01M3/0Wziad4M8iiIiIiIio2Ni4UgpUKhVmzJiB9u3bP/qC7mHzytSpU3Ht2rVSrpCIiMj2eDvYS67fy+fEFVujNtK4AgC6SE5dobJNUNtDXeNZo3Fi+iWI9y8qUBEREZUW/yaVMXb1AHhUdTN5z+m1l7Fi3A7kPsiTsTIiIiIiIiIiIioNKkGFlgEdMKPPfBybEo9fhm5B/4bPw8Xe1aJ57mbdwvKTP+LZ5R3Q8cdgzNr3AS7e+ptNLEREREREZBY2rpQStVqNb7/9Fh4eHo+uCYKAgoICTJ06lV/cERERmcnbyMSVrEId8nR82rQtUdX0B5yknyquZ+MKlQOCdzMI7nWMxuli/4Co1ypQERERlRafIE+MXzsIVepXNHlPzLEkLBqyEWkJD2SsjIiIiIiIiIiISpOd2g6davXCnH5LcfKNJPw4aDV61R0Ae7WDRfMkP4jH4mNz0f+X1uj6Uwi+2f8xrt65yPuciIiIiIjIKDaulCJXV1e88sorT3zxFhkZiR07dpRSVURERLbJWOMKAKTlceqKLRHUaqjr15KM0cckQszOUagiotIhCALUQUMACNKBuXegvxWuSE1ERFR63Hyc8dLK/gjuHGDyntTYdCwcvAFxp27KWBkREREREREREVkDRzsn9K43EPOfXYOTbybh676/oEPNHlALaovmib9/Az8fmY2nFoeh54LG+P7gdESnXrFoDiIiIiIiKjvYuFLKhg8fDhcXl39dE0URS5YsKaWKiIiIbJO3o73RmHtsXLE5qgbB0gGiCN2l68oUQ1SKBFd/CL7tjMbpE7ZDLMhQoCIiIipNDq72GD6/N9qMbmzynpz0PCx/cSvObroqY2VERERERERERGRN3BzcMbDRCCwbtg3H30jA9N7z0MK/PQRjD8sy0417UfghYgZ6LghFn0XNMP/wLMSlRVs0BxERERER2TY2rpQye3t7tGnT5tHUFUH45wvDqKgo3LhxozRLIyIisikmTVzJZ+OKrVHXqwWopN+y6iKjFKqGqHSpA/oDaifpIF0u9AlbFKmHiIhKl0qtQu8P2qLvZx2hUpt2o4GuUI+N74djz9zj0OtF4xuIiIiIiIiIiKjM8HKuiOHNxmP1qL2IeD0aH3abjYZVmlk8T9TdSMw98Am6/hSCvktaYeHRb5CUHmfxPEREREREZFvYuGIF2rZtW+T18PBwhSshIiKyXS4aNRxU0jfsceKK7RGcnaCqFSAZo78SDbFQq1BFRKVHsHeHqvrTRuP0tyMgZiUoUBEREVmD5kNDMGrJ03B0Mz6B8KFDC//G2sm7UJDL98dEREREREREROVRFfdqeKnVFGx+6Sj2TozElI6foFbFuhbPc+n2WXwVPhUdfwzGoGXtsfTE97iVkWTxPEREREREZP3YuGIFqlatWuT1yMhIhSshIiKyXYIgwMtR+ma9tLwChaohS1KH1JEOyC+APjpOkVqISpvKrwvgWMlIlAhdzNpHUx2JiKjsq9mmOsavHQTP6u4m77m8Owa/PL8ZGXeyZayMiIiIiIiIiIisXQ2v2nit/Yf46+Vz2DHuNF5p8w6qVZB+sFxxnEs+iS/2vIt2P9TEkF+7YMWpn5CSddvieYiIiIiIyDqxccUKeHt7P3FNFEXcuHGjFKohIiKyXd6OdpLrnLhim1QNgo3G6CKjFKiEqPQJKg3UQUOMxokZ1yDe+1uBioiIyFr41PTEy38MQkBYFZP33LyUgoWD1+Pm5RQZKyMiIiIiIiIiIlsgCALq+jbEO11m4MCkKKwffQgvNH8VlVxN/36TqU4nHsFnu95Am+9r4PmVPbHqzGLcy+b3qIiIiIiIyjI2rlgBFxeXf/23IAgAgNTU1NIoh4iIyGZ5ORhpXMnnxBVbpPLxglDZRzJGH3mN0yWo3BA8G0LwCDEap4tdB1HHP/eIiMoTFy8njF7WF00GGG/8fSjjTjaWDN+EK3tjZayMiIiIiIiIiIhsiSAIaFKtJT7uOReHX7+BVSP34Plm4+HlLP0zO3PpRT2Oxx/AR39OQuvvAvDC733wx9llSM9Ns2geIiIiIiIqfWxcsQLp6elFXs/Ozla2ECIiIhvn7Wgvuc6JK7ZLbWTqinj/AcSbdxSqhqh0CYLw/1NXjHw5l38P+pt7FKmJiIish8ZejQEzu6D7W61M3lOYq8XqSX/i8C9n2QxMRERERERERET/olap0TKgAz7vPQ/HpsRhxfCdeC50DDycvCyaRyfqcDh2Hz7Y8QpaflsdL65+BuvP/comFiIiIiKiMoKNK1bg7t27RV7njQJERETm8XY0MnGFjSs2S9WgjtEYXWSUApUQWQfBuQpUVTobjdMn7oSYf1+BioiIyJoIgoAO45ti6A89YeeoMWmPKAK7vjqGLdMOQFugk7lCIiIiIiIiIiKyRRqVBm2DumLm0z/j+JQE/DJ0CwY2GglXB3eL5tHqtTh0Yzfe2z7+URPLunPL2cRCRERERGTD2LhiBY4fP17kdWdnZ4UrISIism3GGlfS8grYGGqjVIHVAFfp90a6i2xcofJFFfAMoHGVDtIXQBe3UZmCiIjI6oT0rImXfusPNx/Tv8d0Zv0VrHhpG3LS82SsjIiIiIiIiIiIbJ2d2g6davXC132X4OQbSVj43Hr0DRkKF3sjP7sw08Mmlve3v8wmFiIiIiIiG8bGlVKm0+kQHh4OQRAeXXt4Q22lSpVKqywiIiKb5O1gL7merxeRreXTo22RoFJBHSI9dUVMuAnxQaZCFRGVPkHjAlVAP6NxYspx6DNuKFARERFZo6oNK+Hl9c+icr2KJu+JPXkTi4ZsQGpsunyFERERERERERFRmeGgcUC3Os/g2wG/4uQbSZg/aA361BsER42TRfOwiYWIiIiIyHaxcaWUrVy5Erdu3QKAfz0BXhAEBAYGllJVREREtsnLyMQVAEjLK1SgEpKDukGw0RjdpWsKVEJkPVSV2wPOVY3G6WPWQhT1ClRERETWqEJlV4z9fQDqdgk0ec+9uAdYNGQDYo4ny1cYERERERERERGVOY52TuhVbwDmDVqFk28m4bsBK9E9uC/s1Q4WzfPfJpbRq55mEwsRERERkRVj40opioyMxLx58/41beVxjRo1UrgiIiIi2+ZtQuPKPTau2CxV3SBAo5aM0UVGKVQNkXUQBDXUQUOMxolZsRDvHlegIiIislYOLnYY9mMvtB0TavKe3Af5+PWlbTiz7rJ8hRERERERERERUZnlYu+KZ0Kew4LB63DyzSR803cpOtfqDTuV8Z/rmkOr1yIiZs+/mlj+OLsM93PuWTQPEREREREVHxtXSsmxY8cwZswY5OTkAPj3tJWHOnTooHRZRERENs2UiSv38gsUqITkIDg4QFWnhmSMPioGYgH/H1P5ovKoB8Er1GicLn4jRF2e/AUREZHVUqlV6PVeG/Sb0QkqjWnfFtRr9dg87QB2fXUUeh2ndxERERERERERUfG4ObhjQKPnsWToZpx4IxGznl6I9kHdoBakH1xnrodNLB/seAWtvvNnEwsRERERkZVg44rCrl+/jrfeegtjxoxBRkYGgP81rQiC8Ojfa9Wqhbp165ZanURERLbIUa2Gi5GJHJy4YtvUDYKlAwq10EfFKlMMkRVR1xgMCBrpoIIH0Cf+qUxBRERk1cIG18cLS56Go7uDyXsO/3IOq1/bhfxsvp8mIiIiIiIiIqKSqeDkicGho7F8+A4cmxKPGX3mo3VgJ6gEy97KxiYWIiIiIiLrwcYVmWRnZ+Pu3bu4evUqtm3bhm+++QZ9+/ZF3759sXPnToiiCEEQitwrCALGjh2rcMVERERlg7eRqStsXLFt6pA6RmN0kVEKVEJkXQSnSlBV7W40Tp+8G2JeigIVERGRtQtqXQ0v/zEIXgEVTN5zdV8sljy/CQ9uZ8lYGRERERERERERlSfeLj4Y1nQsfhuxC8emxGN673kKNbE8xSYWIiIiIiIFGXkkb9lSr169Us3/cJoKgEdNK/+dtiIIAho1aoR+/fqVSo1ERES2ztvRDglZeQbX7+UVKFgNWZrgWQFCtSoQk24ZjNFdugZRr4egYo82lS+qan2gv3MUKHxgOEjUQhe7Hpp6E5QrjIiIrFbFGh54ee0grH79L8SdvGnSnttXUrHw2fUY/lNvVGvkK3OFRERERERERERUnlR0qYThzcZjeLPxSM2+i91XN2PnlQ04EX8IelFvsTz/NLHsRUTMXkzb+SpaBXZEr7oD0CO4Hyq68nteRERERERyKFd384miWKq/gH8aVB42qTx+7SE3NzfMnj27VF4fIiKissDb0V5ynRNXbJ+6gZGpKxlZEBNNu/GSqCwRNI5QBw4wGife+xv69CsKVERERLbA2dMRL/zyDJoOqmvynsyUHPzy/Gac3XRVxsqIiIiIiIiIiKg8e9jE8r9JLD/KMolFJ+pwJDYcH/35Glp9F4BhK7rh11PzcTsj2aJ5iIiIiIjKu3LVuAL8r3GktH493rDysB7gn6YaJycnzJ8/H4GBgaX06hAREdk+Lwc7yfW0fDau2Dp1w2CjMbrIawpUQmR9hEqtIbgGGI3TRf8GUccJVERE9A+NvRr9v+iMnu+0xmPPV5GkLdBh4/vh2DEjArpCnbwFEhERERERERFRufZPE8s42ZtYRIg4mRCBz3e9ibY/BOHZ5R2x5Pi3SEqPs2geIiIiIqLyqNw1rgClO3nloYeNLA/r8fPzw4oVK9C8efPSelmIiIjKBGMTV+7m5itUCclFqFYFqOAmGaO7GKVQNUTWRRBUUAUNNR6Ydxf6xB3yF0RERDZDEAS0G9sEQ3/sBTsnjcn7jq+8iF/HbEN2Wq6M1REREREREREREf2jqCaWNoGdLd7EAgBnk45j5t730fHHYPT/pQ0WHPkasWnXLZ6HiIiIiKg8KJeNK6Xhv5NXgH8aVlQqFYYMGYLNmzejYcOGpVwlERGR7avkJN24cj9fiwcFnLpiywRBgLqB9NQV8eYd6NPSlSmIyMqo3GtB8GlhNE6fvAtidpICFRERkS2p3y0IY38fALdKLibviT15Ez8PWoebl1JkrIyIiIiIiIiIiOjfHjaxrBzxl+xNLBdvncHX+6eh208N8NSiMMyL+BLXU65YPA8RERERUVlVLhtX/ttEosQv4N+TXtzd3TF8+HDs3LkTn332Gdzd3Uv5VSEiIiobAtwcjcYkZOYpUAnJSd2gjtEYfSSnrlD5pQ4cBKikG/kg6qC7vgKiqFemKCIishl+IT54Zf0g+IX4mLznwc0sLB62Eee3XpOxMiIiIiIiIiIioqIp2cRy9e5FfHfwM/RaGIqeCxpj7oFPceXOBYiiaPFcRERERERlhaa0C1BaaX2B4OPjg5o1a6Jx48Zo2bIlWrRoAY2m3L38REREsgtwczIaE5+Zi4bebgpUQ3JR1akB2NsBEtNzdBejoOnQUsGqiKyH4OAFlX9f6OPWS8aJWbHQ3wyHumo3hSojIiJb4e7ripd+648N7+3D5d0xJu3R5uuw/p29uHk5BT3ebg21plw+M4eIiIiIiIiIiErZwyaW4c3G4V52CnZHbcHOy+txPP4g9BZ+oFd06lVEH56J+Ydnwt8zCL3rDUSvugPQsEqzRw87JiIiIiIiQBDLUav3yZMnFckjCAI0Gg0cHBxQoUIFVKxYEQ4ODorkJiKisiEqKgrTpk3717UZM2YgODi4lCqyLX12nMa9PMMNDaPq+OHVhgEKVkRyyF+yBvoLVw0HqFVw/PJdCE7Gp/AQlUWiqIP23JdAdoJ0oMoBmqafQXD0VqYwIiKyKXq9iAPzT2H/j6fN2hfUuhqGfNsDzp58L0ZERERERERERNbhYRPLn1c24HjcQehEnWy5qlYIQM+6/dCr7kA0qdZSlskvRERERES2pFw1rhAREdkKNq6UzISDl/B3aobB9Y5+nviqdV0FKyI5aI+fReGqLZIx9i8OhrpJiEIVEVkfMSv+n+YVSD89TPBsCHX91/jkLyIiMujy3hhseGcfCnIMN4j/l0dVNwz/qTeq1K0oY2VERERERERERETmS8tJxb5r2/HnlY04GhuOQr3p3/cyl6+bH3oE90OvugMQ5t8WGpVGtlxERERERNaKrdxERERU5gS4OUmux2fmKVQJyUkdUhswco+9LjJKmWKIrJTgGgBV1W5G48T7FyGmKjOhkoiIbFP9bkF4ed0geAdWMHlPenImFg/diIs7o2WsjIiIiIiIiIiIyHxezhUxOHQ0lg7bipNvJuGbvkvRrc4zsFc7WDzXncybWHn6Zzz/Ww+0/i4AH2x/Bfuj/0S+Nt/iuYiIiIiIrBUbV4iIiKjMMda4kpSVB61eevoAWT/BzRWqgGqSMbpL1yHq5BvxTWQLVP59AQfjT7rXxayFWJilQEVERGSrKtXywsvrnkXtDv4m7ynM1eKPN3Zj9zfHoNfxPTgREREREREREVkfd0cPDGj0PBY+tx6n3kzG9wN+Q+96A+Fk52zxXGk5qfjj3DKMXdMfLeZWxeSNI7Hz8gZkF/BnNERERERUtrFxhYiIiMqcADdHyXWtKOJmNp9eUxaoGgZLB+TkQh+XpEwxRFZKUDtAXWuk8cDCTOhi18lfEBER2TQndweMWNAHHV5pata+iMVnsXL8DuQ+4PRDIiIiIiIiIiKyXq4Obng6ZDB+HLQap95Mxk/PrkXfkKFwtXezeK6sgkxsv/wHXts4HGFz/PDyH4Ow4fxKpOemWTwXEREREVFpY+MKERERlTmBRiauAEBcZq4ClZDc1A2MNK4A0F+MUqASIuum8qwPoVJro3Hi3aPQp19WoCIiIrJlKrUK3d9ohSHf94S9s8bkfdGHE7Hg2fW4c50/eCciIiIiIiIiIuvnZOeMnnX749sBv+Lkm0lYPGQjBjYaCXdHD4vnKtDlY++17Xh321i0mFsNI3/rhd9OL8CdzJsWz0VEREREVBrYuEJERERljq+zA+xVgmRMPBtXygShsg8Eb0/JGF0kG1eIAEBdYzCgcTUap4v+DaKOU6mIiMi4Br1qYtyaQfCs7m7ynrSEDCx6bj0u7b4hY2VERERERERERESW5aBxRJfaT+Hrvktw4o1ELBu2DUOajIGXc0WL59KJOhyN249P/pqMNt/XwLPLO2LxsbmIT+P31IiIiIjIdgmiKIqlXQRReZGTk4PMzEwIggBHR0e4urpCpbKd/rHr16/j0KFDuHz5Mm7cuIGUlBRkZ2ejsLAQLi4ucHV1RUBAAGrVqoUWLVqgTZs2cHFxKe2yS83du3dx8OBBnD9/HtHR0bh58yaysrKQl5f36P+/n58fatWqhcaNG6Njx46oVKlSqdWbk5ODffv24ejRo7hy5Qpu3ryJ7OxsqFQqVKhQAf7+/mjcuDE6d+6M5s2bQxCkmwIsLTIyEoMHD4Zer//XdScnJ+zcuRN+fn6K1iO3qKgoTJs27V/XZsyYgeBg49Ml6B/P7zmP6Iwcg+vPBPpgWrNaClZEcinY8Cd0B09IxjhMmwRVJct/05jI1ujvHofu2i9G41RVe0Jd41kFKiIiorIgJz0P697ag+jDiWbt6/hKM3SZ3AIqI03nRERERERERERE1kqr1+JkfAR2Xd2EXVFbkJJ1W9Z89XwboUdwP/Ss2x91fEIUv3eDiIiIiKi42LhCZGFZWVk4f/48rl+/jmvXruH69etITExEVlYWCgsL/xWrVqvh7e0Nf39/BAcHo3HjxmjTpg18fHxKqfonZWdnY+PGjfjtt98QFxdn1l47Ozv07NkTL7zwAho1aiRPgVZGr9dj3759+PXXX3H69GmY80esIAgICwvDqFGj0K1bN8WamnJzc7Fo0SKsWLECWVlZJu2pUaMGXn/9dfTp00fm6v4hiiKGDBmC8+fPP7H25ptv4uWXX1akDiWxcaXkPjgehfDkNIPrjbzdsLhTAwUrIrnorsWg4McVkjGa/j1g16WNQhURWS9RFKG7/APE+5FGIlXQhE6F4OqvSF1ERGT79Do99sw9gcNLzpq1r06nAAz+phsc3RxkqoyIiIiIiIiIiEgZOr0OZ5OO48+rG/HXlc24nZkka74Az5roWbc/etbtj0Z+YVAJtvPwXCIiIiIqf9i4QlRC+fn5OH36NI4fP47jx4/j0qVL0Ol0JTqzSZMmGDhwIPr16wcHh9K7cWPbtm2YNWsWUlNTS3xW79698cEHH8DX19cClVmnCxcu4NNPP8WlS5dKfFZISAg+/fRT2Rt+rly5gtdffx0JCQnF2t+lSxd8/fXXcHV1tXBl/7Zu3bonmjgAIDAwENu2bYO9vb2s+UsDG1dKbsGlBCy7mmxwvYK9Brufaa5gRSQXUadD3odfAbn5BmNUNQPgMPlFBasisl5iXiq0f38C6AukA138oQn9EIKgVqYwIiIqEy7suI7NH+5HYZ7W5D3egR4Y/lMvVKrpJWNlREREREREREREytGLely4eRp/Xd2EXVc3I+F+jKz5KrtVRffgvuhZtz+a+7eDRqWRNR8RERERkbnYuGJBBQUFuH37NjIyMpCfnw9HR0c4OzvDz8+vVJsPyPLy8/MRERGBP//8E+Hh4cjJyZElT8WKFTF+/HiMGDECarVyNwzm5OTg/fffx65duyx6rru7O+bOnYv27dtb9FxrsHDhQnz33XfQ6/UWO1OlUmHKlCmyTRM5efIkXn755RJ//tapUwe//vorvLzkucHowYMH6NmzJ+7fv//E2pIlS8rk5xPAxhVL+CshBZ+cipaM2fV0GDwc7BSqiORUsHw9dH9LTJBQCXD84h0ILs7KFUVkxXTJe6CP/cNonCpwMNTVeihQERERlSW3rqRi1at/Ij050+Q9Di52GPR1N9TrWkPGyoiIiIiIiIiIiJQniiKi7kZid9QW7Lq6GVfvXpQ1n6eTN7rUfgrdg59B+6DucLRzkjUfEREREZEp2LhSAgUFBQgPD8eBAwdw9uxZJCYmwtDL6evriyZNmqBNmzbo1asX3NzcFK6WLGXevHlYtmwZsrOzFctZr149zJkzBzVr1pQ9V1paGl588UVcvXpVlvNVKhU+/vhjDBs2TJbzlabX6/Hee+9h69atsuXo168fZs2aBZXKciNd4+PjMXDgQGRlZVnkvMaNG2PVqlXQaCz/xI7PPvsMq1ateuJ69+7d8eOPP1o8n7Vg40rJXbmfhdHh0t/wW9QxBI0ruitUEclJe/oCCldslIyxGzkAmuaNFaqIyLqJoh668zMhZsVJB6rsoWn6KQRHHyXKIiKiMiQ7LRd/vLEbMccNT0EsSufXmqPTxDCoVIJMlREREREREREREZWuuLRo7I7agt1Xt+Bs8glZcznZOaN9UHd0D+6LLrX7wMOJU4+JiIiIqHSwcaUYcnJysGTJEqxatQoPHjwAAIMNK48ThH9+4G5vb49+/fphwoQJqFKliqy1kuWNHj0ax44dUzyvs7MzvvrqK3Tv3l22HJmZmRg1ahQuX74sWw7gn98LM2fOxIABA2TNIzdRFDF16lRs2LBB9lyDBg3CF1988ejPkZLQ6/UYPnw4zp49W+R6xYoV8fzzz6NHjx7w8/NDXl4eYmJisHXrVmzYsAFarbbIfZMmTcJrr71W4voed/nyZQwaNOiJSTaOjo7YuXMnqlatatF81oSNKyWXXahDl60nJWOmNg1C3xq+ClVEchJzcpH34VeA3vB7MnWTENi/OFjBqoism5iVCO25GQCkJ8YJHvWhDplikfchRERUvui0euz++hiOLj9v1r66XWtg0Fdd4ehqL1NlRERERERERERE1uF2RjL2XNuKXVc342R8BHSiTrZcakGN5v7t0aNuX3Sv8wz8KvjLlouIiIiI6L/YuGKmiIgIfPjhh0hNTf1Xs4opN3H9N97BwQFvvvkmRo0aJUutJI/SalwBALVajVmzZqFv374WP1sURbz88ss4ePCg0djatWujV69eaNSoESpXrgx7e3tkZGTg2rVrOHr0KPbu3Yv8/HzJMzQaDVauXImmTZta6kNQ3KJFizBnzhyjcRUrVkTv3r0RFhYGf39/uLi4IDs7G/Hx8Thz5gx27tyJe/fuGT3n7bffxrhx40pc9/LlyzFz5swi15o1a4YffvgBFStWLHL977//xqRJk4qsV6PRYP369ahXr16JawT++ZwcNmxYkQ02kydPxsSJEy2Sx1qxccUynt5xGil5hQbXR9Txw2sNAxSsiOSU/8Ny6KPjDAc42MNx5rsQZJgORWSrdHEboU/602icus4YqCq1VqAiIiIqi85ticKWjw5Am2/6D919anpi+PzeqFjDQ77CiIiIiIiIiIiIrEhaTirCr+3A7qgtiIjZiwKd9L03JRVSuQm6B/dFj+B+qONTnw8xIyIiIiJZ2WTjytWrV/HVV18ZXH/ttdfQpEkTi+ddvHgxvv3220dP/i/qzbqhl/O/sQ/jBEFAr169MHv2bNjb8ymStsDUxhVvb280b94cDRs2RJ06dVC1alX4+PjAyckJhYWFSE9PR0pKCs6cOYMTJ04gIiICOp3xGzjs7OywePFitG5t2RsHlyxZgq+//loyxs/PD1OnTkW3bt0k41JTUzF37lyjk0iqVKmCzZs3w8PDw9xyS93Zs2cxYsQIg9NHgH+mgkyePBkjRoyQ/P1dUFCAX3/9FfPmzZNs+NFoNPjtt99K9OdbYWEhOnfujJSUlCfWAgMDsW7dOri7u0ue8ffff2PUqFEoLHyyGeCpp57C3Llzi13f4zZu3IgPPvjgiev+/v7YsWNHmf8zk40rlvHqoUs4nZJhcL19FU9806aughWRnLT7j6Fw0y7JGPuJI6GuW1Ohioisn6grgPbsZ0DeXelAjSs0zT6HYOemTGFERFTmJEfexepJf+HBrSyT9zi62WPwnO6o05HN5kREREREREREVL5k5Wfi4I1d2HV1Mw5E/4nsAtO/r1Yc/p5B/zSx1OmLJtVaQa1Sy5qPiIiIiMofm2xcmTdvHubPn19kM0iVKlWwd+9eqNWWffP8888/44cffoAoiv/KW5yX77/7BUFAhw4d8PPPP0OlUlmkXpKPVONK1apV8fTTT6Nnz56oX9+8JxEkJiZi8eLF+OOPP4x+XlWsWBHbt2+Hp6enWbVL5X7qqackmyaaNWuG+fPnm5Vz06ZNmDp1qmRDzpAhQ/D555+bVW9p02q16N+/P65fv24wxsfHB0uWLEHduqbfEH/p0iWMGzdOcvpKnTp1sGnTJmiKOS1g586deOONN4pcW758uckNUV999RV++eWXJ67b2dkhPDwclSpVKlZ9D2VmZqJnz55FvhaLFi1Cx44dS3S+LWDjimV8dTYGG2LuGFz3d3XEup6Wb3al0qFPSUP+9B8kY9QdWsD+2T4KVURkG/TpV6GLND5FTvBpBU3wSwpUREREZVXWvRysnbwbcadumrxHEIBOr4ah08QwqNT8vhkREREREREREZU/+do8HIndh11Xt2DvtW1Iz02TNZ+3SyV0rf00egQ/gzY1usBB4yhrPiIiIiIqH2zyp70RERGP/l0UxUe/BEHAqFGjLN608ueff+L7778H8L+mk4c5i+PxvYIgQBRFHDp0CF988YVlCiZFqdVqdO/eHcuXL8e+ffvw5ptvIiQkxOzxmdWrV8fnn3+OJUuWwNvbWzI2NTXV6HQUc8yaNUuyaaVevXpYtGiR2Y0yAwYMwIwZMyRj1q1bhytXrph1bmn7/fffJZtWXF1dsWzZMrOaVgAgJCQEy5Ytg4uLi8GYa9euYdWqVWad+zhDU3CaN29u1hSf8ePHw8nJ6YnrhYWF2LJlS7Hre+j7778vsmmla9eu5aJphSwnwO3Jz9PHJWfnofD/J6mR7VP5eEHwrSgZo4+MKvZ7OKKySuVRF4JvW6NxYspx6O9HKlARERGVVa7ezhi97Bm0HNHQ5D2iCOz/8TRWjNuO7LRcGasjIiIiIiIiIiKyTg4aR3Sp/RRmP7MIJ95IxG8jdmFk2AT4uvnJku9e9l38cW4pxq4dgLA5fpi0YRi2XFyNjLx0WfIRERERUflgc40r6enpiIyMfNQUIAjCo393dHTEoEGDLJrv9u3b+Oijj/51zdDNjg9rkfr133MeNtyIoohVq1bh4MGDFq2f5GNvb48hQ4Zg165d+PHHH9G6dWuzm1WK0q5dO/z+++9Gm0Q2b96M2NjYEueLjIzE3r17Da47Ozvj+++/h6ura7HOHzhwIJ599lmD63q9Hj/8IP10fGuSn5+PhQsXSsZMnz4dtWvXLtb5wcHB+OSTTyRjFi5cKNloZIher8fZs2eLXHvmmWfMOsvDwwMdOnQocu3MmTNm1/a4q1evFtmc4+joiA8//LBEZ1P5Y6xxRScCyVnm/34i66VuKD2VSEx7APHWXYWqIbId6sDBgJ2b0Thd9G8Qdfxzk4iIik9tp8bTH7XHgC87Q21n+rcmbxxJwk/9/0DC37dkrI6IiIiIiIiIiMi6aVQatA7shE97fYfDr9/AhhcjML71W/D3DJIlX05hNv68shFvbhmN5nOr4oXf++C30wtwOyNZlnxEREREVHbZXOPK0aNHof//J6M/bCB52PzRu3dvuLu7WzTfF198gaysrEfNJUU1rTxsSnl8+ouhX0U1sDw8QxRFTJ8+HYWFhRb9GMiy1Go1Bg4ciN27d+Pzzz9H9erVLZ6jRo0aWLhwITQajcEYnU6HtWvXljjXkiVLJNcnTJiAgICAEuV499134eHhYXB9//79uHHjRolyKGXDhg1FTgJ5qF27dujTp0+JcvTr1w8tW7Y0uJ6amopNmzaZfe61a9eQnZ1d5FqnTp3MPq9Lly5FXj937pzZZz3u888/h06ne+L6uHHjUK1atRKdTeVPgKt04woAxGfyqc1liaqBdOMKAOguRilQCZFtEexcoA4aZjww/x708SWfrkZERNR0UD2MXTUA7r6Gp47+V8adbPwycguOLj/PKXpERERERERERFTuqQQVQqu2wHtdv0T4xMvYOf4MpnT8BCGVm8iST6vX4nDsPnzy12S0/SEIA5a2xU+HZ+NaymV+v46IiIiIjLK5xhVD0wIAoH///hbNdf78eezZs+dRU0lRHm9YadWqFT766CNs2bIFR48excWLFxEREYENGzbg/fffR2ho6KNzHm9eefzs5ORkrFmzxqIfB1nWnDlzMHPmTFSpUkXWPI0bN8aQIUMkY3bs2FGiHCkpKdi9e7fB9YoVK+KFF14oUQ4AqFChAsaNG2dw/eHEIVvw+++/S66/9dZbFsnz9ttvl6iOoly6dKnI656envD19TX7vLp16xZ5/f79+0hKSjL7POCfSUJFTWypXr265OcQkSG+zvZwUEu/3YnLYuNKWaIKrAa4OEvG6CLZuEJUFKFiGATPRkbj9Df3Qp9Z8sl/RERE1Rr54pUNg+HftLLJe/RaPf6ceQRrXt+FvExOASMiIiIiIiIiIgL+uRctuFIDvNb+Q2wdexyHJl3DRz3moFVAJ6gFtSw5L9w8jTkHPkbvhU3Q5af6+HLPuzgRfwhavVaWfERERERk22yucSUyMvLRvz/e/FG5cmW0aNHCorl++ukng2uPT1mpXr06Vq5cieXLl+P5559HcHAwvLy8YGdnBx8fH4SEhGD06NFYs2YNFixYgMqVKz+avvLfM0VRxIoVKyz6cZBlSU0OsbRJkybBzs7O4Prdu3dLNKlkx44dRU62eGjYsGFwcHAo9vmPGzJkCJydDd9IvHPnTmi11v2F65UrVxAdHW1wvWXLlqhfv75FcjVq1AhhYWEG169du4arV6+adaahSTFBQcUbFxsUFFTkBCkASEtLM/u8rKwsfPPNN0WuTZ061WKfi1S+qAQB/q6OkjGcuFK2CCoV1CG1JWPE+GSIGZkKVURkOwRBgLrW84Da2N+5InTRKyDyhw5ERGQBbj7OePHXfmg+NMSsfZd3x+DnQetx60qqTJURERERERERERHZrqoeARjdYhJ+H7kLJ95IxNd9f0GP4H5w1DjJki/hfgx+OfE9hq/sjlbf+uPtLS/hryubkF2QJUs+IiIiIrI9NtW4otfrceXKlSemlQiCgK5du1o0V2JiIg4dOlTkTdmPT2Bp0KAB1q5di+bNm5t0bqdOnbBp0ybUqlXrX80rj09dSUpKwpEjRyzwUZCt8/LyQrNmzSRjDE3RMMX27dsNrgmCgIEDBxb77P9yc3ND9+7dDa6npaXh6NGjFssnh23btkmuW/L1AoABAwZIrkv9/ytKRkZGkdfd3d3NOuche3t7ODkV/Q0NQ7mk/PDDD0hJSXnieufOndG5c2ezzyN6KMBN+htvbFwpe9QNg43G6C5dV6ASItsjOHhBFWDCe5rsJOhv7pG/ICIiKhc09mr0/awj+k3vBLWd6d+uTIt/gEVDNuDM+isyVkdERERERERERGTbPJ29MbDRCPw8+A+cfusmFgxeh0GNRsHTyVuWfPdz72HTxd/w6oahCJtTBWNW98WqM4txJ/OmLPmIiIiIyDbYVOPK9evXkZeXB+DfjR4ALH5T8+bNmx/leDzX440sHh4emD9/Pry8vMw628PDA7/88gsqV678xJkP7dq1qzhlUxnUtm1byfWEhIRinZuWlvavCUb/FRoaCj8/v2KdbchTTz0luX7o0CGL5rM0qfrs7e3RrVs3i+br0aOH5MQdc18vQ80kLi4uZp1jyl5zG1euXbuG33///YnrDg4OmDp1arFqI3rIWONKQmbuE+8ryLap6tYE1NLjrnUXoxSqhsj2qKp0guBmfCKbPmEbxNy7ClRERETlRdhz9TFu9UB4VHUzeY82X4fNU/dj4wfhKMgtlLE6IiIiIiIiIiIi2+dk54zuwX3xVd/FOP5GAn4fsRujW0xC1QoBsuQr0BXg4I1d+OjPSWjzfQ0MWNoW8w/PQtTdS/w5PREREVE5Y1ONK9HR0Y/+/fFmD7VabXQqhbl27txZZEMJ8L8pLx988AF8fX2Ldb6vry/ef//9J96AP5zmcvDgwWKdS2WPsc+x9PT0Yp177NgxyS8A27VrV6xzpbRo0QL29vYG16154kpKSgquXzf8dP7Q0FC4urpaNKe7uzsaNWpkcP3atWtITU21aM7SMn36dGi12ieujx07FtWrVy+FiqgsMda4klGow/38Jz//yHYJDg5Q1akhGaOPugGxgDc2EhVFEFRQ1xoFCNINYNAXQhe9kj9UICIii6rasBImbhqM4M6BZu07u/EqFj23Aamx6bLURUREREREREREVNZoVBq0CuyIj3rMwcFJUdg29iRebz8NdSs1lC3nhZunMffAJ+izqCm6zK+HGbvfxvG4g9Dq+TN7IiIiorLOphpXkpOT//XfD2+Qql+/PhwdHS2WJz4+HrGxsf/KAfyvqQQAatWqhb59+5YoT69evRAWFvaoEebxXHfv3kVSUlKJzqeywdtbeixnbm5usc49ceKE5HqrVq2Kda4UJycnhIaGGly/ceOG1TZinDx5UnK9devWsuRt06aNwTVRFI3W9Th3d/cir2dnZ5tdl7G9hnIVZdu2bUV+HFWrVsX48eOLXRvRQ4FGGlcAID6reH+WkvVSN6gjHVCohf5ajDLFENkgwaUqVNV6G40TH1yFeNd6m4+JiMg2OVVwxPCfeqPH262hUhf9YJmi3LmWhgWD1iHyz2jjwURERERERERERPSIIAioX7kxJnf8CDvGn8b+V69gavev0MK/PVSCPLcYJqTHYtnJeXj+tx5oMbca3tr8Iv68shFZ+Zmy5CMiIiKi0mVTjStFNXIIgoB69epZNM/hw4cl1wVBwAsvvGCRXEOGDDG4dv78eYvkINuWn58vue7g4FCscy9dumRwTa1WIyQkpFjnGiM1QQSQrqs0RUZGSq4b+7iKq2FD6adYmPN6GWomycjIMKumhwoKCgw2TpnauJKVlYXZs2cXuTZ16lSLNiVS+eXvavzzKD6TjStljapBsNEYXeQ1BSohsl2q6n0Ap8pG43Sxf0AsKN77CSIiIkNUKgHtxzXBi7/2g6uPs8n78rMLsXbKbuz84jC0BToZKyQiIiIiIiIiIiq7/D2DMKblZKwetRfHpyRg1tML0bX2U7BXF+8+JWMe5N3H5shVmLRhGJrP9cOLq5/B72cW4nZGsvHNRERERGQTbL5xBQDq1DHyRG0znT59+olrgvC/pzva29ujV69eFsnVtWtXODk5PZEDAKKj+XRIAm7fvi25bs5ki4e0Wi2uXTN8s25QUNCjz0tLM9YQc+XKFVnyltTly5cl1+vXry9L3gYNGkium/N6GZre83DClLliY2P/NSnqcV5eXiadMX/+fKSkpDxxvWPHjujatWux6iL6LyeNGr5O9pIxbFwpe1SeFSBUlb7hXhcZBVGvV6giItsjqOygrjXSeKA2B7qYNfIXRERE5VJgcz9M3PQcarSsata+YysuYOnIzUi/yaczEhERERERERERlYS3iw8Gh47GoiEbcfqtm/jp2bXo3/B5eDiZdm+IuQp0BTh0Yzc+/vN1tP0hCP1/aYN5EV/i6p2LBu9TISIiIiLrZ1ONK3fv3n2iuQMAqlSpYtE858+fLzKPKIoQBAHt2rWDq6urRXI5OzujadOmRb6pjo+Pt0gOsm3GJn34+/ubfWZcXBwKCgoMrgcFBZl9pqmMnR0VFSVb7pKQavTx8PAwuVHDXN7e3qhQoYLBdXNeL0NNQ2lpaUU2jxhj6DXx8PBAtWrVjO6Pjo7GihUrnrhub2+PqVOnml0PkZQAN+lmPDaulE3qhkamrmRkQUy6pUwxRDZKVaEOVJU7GI0TU09Bn3ZBgYqIiKg8cvNxxgtLn0GHV5qatS/x3B38PGAdrh9KkKkyIiIiIiIiIiKi8sXF3hU96/bHnH5LceKNRKwauQdjWr4Of48asuW8eOsMvjv4GZ5aHIaOPwbj078m49CN3cjX5suWk4iIiIgsz6YaV3Jycoq8XqlSJYvlSE1Nxc2bNwHAYId2q1atLJYPAIKDi76p8tYt3khZ3un1ehw6dEgypm7dumafm5iYKLlenGYYUwUEBEiuG6utNGRnZyMtLc3gurGPqaSk/n+kpqYa/LPxv2rXrg1nZ+ci14x9nhXlwIEDRV5v3LixSfs/++wzaLXaJ66/9NJLsr+mVP6wcaV8UjcwPpVPd9E6GyaJrIkqcBBgb7iR9iHdjd8havMUqIiIiMojtUaF7m+0woiFfeBUwcHkfTnpeVg5fjv2fX8Seh2n7REREREREREREVmKRqVBy4AOmNr9a4S/egV/vnwWb3X6HI39msuWM/lBPFaeXoAXVz+D5nP9MHH9EKw/vwL3ss1/YCsRERERKcumGldyc4u+qdTQjdjFceGC8acEN29u2TfX/21cEQQBoihK3ihP5UNERARSU1MNrru7uxercSUpKUly3ZRpGcXl5OQEb29vg+vGaisNpfl6mXJ+cnKySeeo1WqEhoYWubZz506zasrKyjLYuNKsWTOj+3fs2IGTJ08+cb1q1ap45ZVXzKqFyBQBro6S6zez81HAm9jKHKFaFaCCm2SMLtLwRC0i+oegcYY6aLjxwPw06OM3y14PERGVb8GdAjFx03Oo2tD0B9mIInDgp9P49aXtyLpn2sMfiIiIiIiIiIiIyHSCIKCOT31MbPceNo45jGOT4zCjz3x0rtUb9mrTH0RjjuyCLOy6uhnvbRuHlt9Wx+DlnbDgyNe4lnLZ4AOriYiIiKj0lInGFTs7O4vluHjx4hPXBEF49O8uLi7FahSQ4uvrW+T19PR0i+Yh27Ns2TLJ9W7dukGlMv+38cOpQoZUrFjR7DPNIdW4cv/+fYO/10tLab9exs43Vt/jBgwYUOT1w4cP49y5cyafs2zZMmRlZT1xXa1Wo1+/fpJ7s7OzMXv27CLXPvjgAzg6SjcYEBWHsYkregBJ2ZwSUNYIKpXRqSti8m3o09KVKYjIhqkqNoXgFWo0Tn8rHPqMG/IXRERE5ZpHVTeMXTUALUc0NGtfzLEk/NR/HeJPc8oxERERERERERGRnCq5VcGwpmOxZOhmnH7rJn56di0GNhoJTyfD9wyVhAgRfycdw9f7p6H3wiboPL8uPt/1Jo7E7EOBrkCWnERERERkHptqXCkoKPpNZE6O5Z6UaGjiiiiKEAQB9erVs1iuh1xcXIq8bujjpfIhIiICx44dk4zp379/sc6+f/++5LqPj0+xzjVVpUrST0U1Vp/SjNUjd+OKsf8f5rxevXr1gpeXV5FrH3/8sUl/nl6+fBm//PJLkWtdunRB5cqVJffPnz8fd+7ceeJ6u3bt0L17d6P5iYrDWOMKAMRnWlfTHFmGukGw0Rg9p64QmURdczigNvbnqQhd9EqIeq0iNRERUfmlsVfj6Y/a47lvu8Pe2fSH2mTezcbSUZtx+JezfOoiERERERERERGRAlzsXdGzbn983XcJjr+RgDWj9uGlVlMQ4FlTtpyJ6XH49dR8jFrVB83nVsVrG4Zj04XfcT/nnmw5iYiIiEiaTTWu2NvbF3k9OzvbYjkiIyP/NWHlvxo0aGCxXA+5uroWeZ2NK+VXfn4+vvjiC8mYxo0bo2XLlsU639g0Hzc3t2Kdaypj51vbtCFj9bi7u8ua35Kvl729PUaPHl3kWlRUFF577TXJ8yIjI/HKK68UORVHpVJh7Nixkvlv3LiBFStWPHHdzs4O06ZNk9xLVBKVnOzhpJZ+28PGlbJJVbsGYC99I6MuMkqhaohsm+DgCVXgQOOBOcnQJ++SvyAiIiIADfvUxivrn0Wl2kU/pKEoep2IXV8dw+pJfyE3I1/G6oiIiIiIiIiIiOhxGpUGzf3b4cNus7Fv4iXseuUc3uk8A02qtoQAw/fslURWfgZ2XtmAt7eOQYtvq2HIr12w8Og3iE69wofbEBERESlIU9oFmMPR0RH5+U/+MDkjI8Mi5ycmJuLBgwcQBMHgm9L69etbJNfj1Gp1kddVKpvqKyILmjt3LmJjYyVjpkyZUuzzHzx4ILluqJnKUoydb6w+pVn762Vuo89LL72EXbt24dKlS0+sHT58GH379sWIESPQtWtX+Pn5IT8/H3Fxcdi6dSv++OMPFBYWFnnu6NGjERoaKpl7+vTpRe4fM2YMatSoYdbHYe3Onj1bov1JSUkWqoQAQBAE+Ls5ISrdcLNrHBtXyiTB3g6q4CDoLxpuTtFfj4OYlw/B0UHByohsk6pyB4gpJyBmREvG6RO2Q+XdDIKz9CQ2IiIiS/Cp6YmX/xiErZ8exPktpk/Tu7I3Frej1mHo9z3hFyLv9FkiIiIiIiIiIiL6N0EQUKtiPdSqWA+vtH0HKVm3EX59J/Zd247DsfuQr82zeE69qMfpxCM4nXgEX4VPhb9nELrWfgpdaj+F5v7tYKc2fbozEREREZnHphpXvLy8iryB/Pr16+jUqVOJzz9//rzRmJCQkBLn+a+8vKLfZLu4uFg8F1m/gwcP4tdff5WM6dmzJ9q0aVPsHDk5OZLrzs7OxT7bFMbON1af0qz99Spq+okUjUaD2bNnY/DgwUXuvXPnDubMmYM5c+aYfGadOnWMNlP9+eefOHbs2BPXq1SpggkTJpicy1YMHTq0RPudnZ1Rq1YtC1VDABDg5ijZuJKQaflvepF1UDcIlmxcgU4H/dUbUIdavkGZqKwRBBXUtUZBe/ZzQNQaDhS10EWvhLrhWxAENuQTEZH87J3tMGh2VwSG+WHH9AhoC3Qm7bufmIHFQzeiz7R2CHuuvuQkZiIiIiIiIiIiIpKPj2tlDGkyBkOajEFOQTYOx+7Fvms7EH59B9JyUmXJmXA/BstOzsOyk/Pg5lABHWr2QNfaT6FjrZ7wcDJ9yjMRERERGWdTdxD5+PgUOQnl2jXTn6Qo5dSpU09ce/yH1a6urggKCrJIrsdlZmYWeZ2NK+VPUlIS3n33XckxlB4eHpg6dWqJ8mi1EjcZArCzk/fpAcbONzTRo7QYe700Gnl7AOV4vWrXro158+bBwaHk0wUCAgKwZMkSybNycnIwe/bsItc++OADODk5lbgOImMC3KQ/z+IyczkGuIxSh9SBsanSukiJxhYi+hfBuQpU1fsYjRMzrkG8c1iBioiIiP4hCALCnquPcWsGwrOau8n7tAU6bP34IDa8tw/52db1PQkiIiIiIiIiIqLyyNneBT2C+2H2M4twfEoC/njhAF5p8w5q+8j3MMLM/AfYcXkd3twyGi3mVsPQX7ti4dFvcC3lMu8lICIiIrIAm5q4EhAQgBMnTjz6b0EQIIoizpw5Y5Hzjx49WuRTFUVRhCAIaNSokUXy/Nft27efyAf80yhD5UdWVhYmTJiA9PR0ybhPPvkEvr6+JcplrNFBrVaX6HxjjDV6GGsUUZqx10vuxhW5Xq/27dtjxYoVmDJlCm7dulWsM1q3bo25c+fCy0v6KRM///xzkTnatm2Lnj17mpRLFEUcP34cBw8exPnz55GYmIiMjAzodDq4uLjAz88P9erVQ5s2bdC1a1fZJ+GQ7QlwlW5cydbqkJZfCG9He4UqIqUI7q4QAqpBjEsyGKO7dA2iXg9BZVN93USlRlWtN/Spp4Ac6fcQutj1EDwbQnDwVKgyIiIiwC/EBxM2DcbG98NxdV+syfvOb7mGpPN38dzc7vAL8ZGxQiIiIiIiIiIiIjKVWqVGs+qt0ax6a7zTZQYS78di3/V/JrGcjI9Aod7yD6PRiTqcSjyMU4mH8VX4VFSrEIDOtXujc+0+aBXQEQ4aR4vnJCIiIirrbOrOvNq1az/698e7mG/duoVz586V6Ozr168jMTHxibMf17x58xLlMCQ5OfmJa4IgwMPDQ5Z8ZH10Oh3eeusto9ODBg8ejD59jD/d2pjSniBirDHG2hpXdDqd5LrcjT7Gzi/JhJrQ0FBs374dY8eONavRo1q1apg5cyaWLVtmtGklNjYWy5Yte+K6nZ0dpk2bZlK+LVu2oEePHhg9ejSWLVuGv//+GykpKcjPz4dWq8WDBw9w5coVbNy4EW+//Tbat2+PH374Abm5uSZ/TFT2GZu4AvwzdYXKJnWDOtIB2bnQxyQoUwxRGSCoNFDXegHGxxnlQnd9OURRr0hdREREDzm5O2D4/F7o+W5rqNRG/r56zL24dCwasgFHl5/nUxSJiIiIiIiIiIisUHXPGhjdYhJWPP8nTr11E/MGrkL/hs/D08lbtpxJD+Kx8vQCjFndF83mVMHLfwzC6r+X4HbGk/f9EREREVHRbGriSuPGjQ2ubdy4EaGhocU+e+vWrUZj2rRpU+zzpURFRRV5PSAgQJZ8ZH0+//xzHDhwQDImJCQEH3/8sUXyGWtM0el0sjZjlHYjiLmM1aPXy3sjprHXq6SNRq6urnjnnXcwYcIE7N27F0ePHsWVK1dw+/ZtZGdnQ6VSoUKFCqhevToaNmyITp06oXXr1lCZOJVgxowZRTbXjB49GkFBQZJ709PT8fbbbyMiIsKsjykrKwvz58/H9u3b8cMPP6Bu3bpm7beENWvWlGh/UlISVqxYYaFqCAD8XR0hAJC69Sw+Mw/NfCooVRIpSN0gGNrt4ZIxutMXoa4VqExBRGWAyr0mxCqdoL+1XzJOTL8M/c1wqKt2U6gyIiKifwiCgHYvNUG1xr744409yLybbdI+XaEef848gugjiRg4qwtcvTnRk4iIiIiIiIiIyBq5ObijT/1B6FN/EHR6Hc4mHX80jSU69aosOXMLc7D32nbsvbYdAFDftzE61+6DzrV6o5FfGNQq67rviYiIiMha2FTjSoMGDeDq6ors7GwIwj9PShQEAaIoYuPGjXjhhRdQs2ZNs8/Ny8vDhg0bHp350OP/7e3tjUaNGpXsAzDgypUrT+QGgMDAQFnykXX54YcfjN7g7uvrix9//BH29vYWyWlnZye5LnfjirGJKsbqU5qxeuSeEKPU6+Xq6or+/fujf//+FjkPAHbv3o3Dhw8/cb1y5cqYOHGi5N6UlBSMHDkSsbGxxc4fHx+PYcOGYfHixQgLCyv2OcXRpEmTEu03ZwIOmcZRo0ZlZwfcysk3GBPPiStlllClEgQvD4hp6QZjdGcjIQ7sBcHeuv4eIrJmqoAB0N87CxSkS8bp4zZA5VEXgks1ZQojIiJ6TGCYHyZuHox1b+1FzLEkk/ddP5SA+X3XYtBX3VCrbXUZKyQiIiIiIiIiIqKSUqvUCPNvizD/tniv65eIT7uB8Os7sO/6DpxKOAytXp77ey7fOY/Ld85j/uGZ8HL2QceaPdGldh+0D+oGN0c+OJOIiIjoIdMel28lVCoVunTpAlH851npD/8J/HNj9yeffFLkU/2N+fXXX5GWlvbEmQ//WxAEdO/evQSVG5aWlmbwpmxOXCn7li9fjvnz50vGeHh4YOnSpfDz87NYXmMTOgoKCiyWqyi21rhi7PUqzp875rC11+uh3NxczJw5s8i19957T7Ixo6CgAOPHjy9R08pDOTk5ePnllxEfH1/is8j2Bbg5Sq6zcaXsEgQB6sb1pINy86GLLHoSHhEVTdA4QV3zeeOBohbaqCUQ9fK+byIiIjLE1dsZL/zyNDpNDEMRz48xKCs1F7+O2YZdXx+DtkB6IioRERERERERERFZjwCvmnix5ev4bcQunHozGd8P+A39GgxDBUdP2XKm5aRg08Xf8NrG4Qib64fnV/bEkuPfIuZe1BP3JRIRERGVNzbVuAIAffv2/dd/P2wsAYAzZ87gnXfeMetN3t9//4358+cXOfHkcf369TO/WBMcO3asyEYcAKhRo4YsOck6rFu3DrNmzZKMcXFxweLFi1GrVi2L5jY2ySEnJ8ei+f4rOztbct3aJk1Y++vl5OQka/7iWrBgAW7evPnE9datW6NPnz6Se+fNm4fLly8XuWZnZ4dhw4Zh9erVOH78OM6dO4cdO3ZgypQpqFixYpF7srKy8MEHH0Cv15v/gVCZ4u8q/fuFjStlm7pFY6MxupPnFaiEqGxReYdC8GlhPDAnGfq4jfIXREREZIBKrULXyS0wctHTcPaQbmr/r8NLzmLJ8E1IS3ggU3VEREREREREREQkF3dHDzwdMhhz+y/HyTeTsHrkXoxt9QaCvOvIllOr1+J4/AHM3Ps+uv/cCF1+qo/pu9/C4Zi9yNfmy5aXiIiIyFrZXONKu3btULNmTQB41GzysHlFFEXs2rULQ4cOxY0bN4yetX37drz00kuPpks83jjy8DwACA4ORmhoqIU/kn8cOHDgXzkfcnFxYeNKGbZ9+3Z8/PHHkk1WTk5OWLhwIRo1amTx/BUqSI+hNNYoUVLGzjdWn9Ks/fXy8PCQNX9xxMfHY+nSpU9ct7Ozw0cffSS59+LFi/jll1+KXPP19cWaNWvw6aefomnTpvD09ISTkxNq1aqFCRMmYMuWLWjWrFmRe8+cOYOVK1ea/8FQmRLoJt24cisnH3k6PkW5rFJVrQyhqq9kjP5qNMSMTIUqIio71DWfBxy8jMbpb+6FPr3o5lQiIiKl1O7gjwmbBiOgWRWz9iVfvIuf+v+B81uvyVQZERERERERERERyU2j0qBFQHt80G0W9ky4iL0TI/Fht9loGdARakEtW96E+zFYfvJHvLDqKTSf64cJ657DunPLkZJ1W7acRERERNbE5hpXAOCVV1554ob/x5tXzp8/j379+mHMmDFYs2YNTpw4gZiYGERHR+PEiRNYsGABBgwYgHfeeQe5ubn/alL5L0EQ8NJLL8nycRQUFCA8PPxfDSsPP47Q0FCjU2DINu3duxfvvfee5OQHe3t7/Pjjj2jevLksNRhrxMjIyJAlr6nn21rjyoMH8j5tNTNT+gZqa3u9AGDGjBmPmgIfN2rUqEfNh4YsXrwYuiIaB5ycnLBgwQI0aNDA4N6KFSvi559/RkBAQJHrv/zyC7RarZHqqSwLMNK4IgJIyspTphgqFZoWodIBehHa0xcVqYWoLBE0zlDXGQPA+NcwumvLIBZmyV8UERGRBA8/N7y4oh86TwqDoDL9e3D52YVY/85ebHhvH/Kznvy6l4iIiIiIiIiIiGxLDa/aeKnVFKwauRun3kzG9wN+Q/8Gw+Hp5C1bzuyCLOyO2oL3t7+MVt8FoO+SVph74FP8nXQcOj0ftklERERlk6a0CyiOZ555BqtWrcK5c+f+1XTyePOKVqvFsWPHcOzYsSLPeLinqOaQh2cIgoBatWrh6aefluXj2L9/P7Kzs/+V7yFDEwPIth08eBBTpkyRvHHezs4O3333Hdq1aydbHV5e0k/DTklJkS23Ked7enrKmt9cxl6v1NRUWfPfvXtXct3aXq+9e/fi0KFDT1z39fXFq6++Krn3zp072LdvX5FrY8eORf369Y3mr1ChAj799FO8+OKLRZ6/d+9e9OrVy+g5VDYZa1wBgPjMPNSq4KJANVQa1M0aonDLbkBveOqZ7uQ5aDq3ZhMxkZlUFYIhVusJfdJf0oEF6dBFr4S67iv8fUZERKVKrVGhy2stENSqGta9vQcZt02fqHpucxQSzt7Gc3O6o2rDSjJWSUREREREREREREqp4OSJp0MG4+mQwdDpdTiXfBL7o//E/us7cfWufA9AvHT7LC7dPov5h2fC08kb7YO6o1OtXmhfszu8nCvKlpeIiIhISTY5cQUAZs2aBWdnZwAocmLJw2YQQ78e3/f4tJXHzxIEAdOmTZPtZqq1a9caXGPjStlz7NgxvPbaaygsLDQYo1ar8fXXX6Nr166y1lKlShXJdbkbMaTO9/T0fPR721pY8+sFAFWrVpU1vzny8vLw5ZdfFrn23nvvwcVFuhlgy5YtRTZ2ubq6FtmIYkibNm0QFhZW5NqGDRtMPofKnoqOdnDWSI/2jc/MVagaKg2CuytU9WpLxog370JM4jhmouJQ+fcDXPyNxon3/oZ496gCFRERERkX2NwPr24Zgnrda5i1Ly3+ARYP24gjS89BL9EYTURERERERERERLZHrVKjWfXWeLvz59gx/jQiXruO6b3noXOt3nDQOMqW937uPWy9tAZvbhmNFnOr4dllHTAv4ktcvPU39KJetrxEREREcrPZxpWAgADMnj0bKtU/H8J/m1ceXpP69XgTy+MeNr+MHDkSLVu2lKX+uLg4HDt27FHdj9dvb2+P0NBQWfJS6Th16hQmTJiA/Px8gzEqlQozZ85E7969Za+nWrVqkuvJycmy5c7NzcW9e/cMrhurrTSU5usFAElJSZLr1tS4smjRoiJfjxYtWuCpp54yuv/MmTNFXu/UqZPRppf/MjQt6+zZs0X+2U/lgyAICHCT/gYSG1fKPk2LxkZjtCfPyV8IURkkqDTQBI8FVHZGY3UxqyHmSk+WIyIiUoqzhyOGzeuFZz7tAI2DdLP743SFevw1+yhWjtuOzJQcGSskIiIiIiIiIiKi0uRXwR/Dm43HkqGbceatW1gyZBOebzYeVdyry5ZThIizySfw3cHP0P+X1mj9XSDe3ToOOy9vQEZeumx5iYiIiORgs40rANCtWzdMnz7dYPOKsV//9fj+9u3b47333pOt9qVLlz6q4fF/CoKAVq1awd7eXrbcpKyzZ89i/PjxyM01fCO0IAj4/PPP0a9fP0Vqql5d+gum+Ph42XInJCRIrltj44qrqys8PT0Nrsv5egFAYmKiwTVvb2+rmVCTmJiIJUuWPHFdo9Hg448/NumMc+fOFXm9U6dOZtfTuXPnIq9nZmYiOjra7POo7Ahwc5Jcj2PjSpmnahAMOEs3MOnOXISo0ylUEVHZIjhXgarGYOOBunzori2FKPL3GhERWQdBENBiWAO8sv5ZVKrtZdbe6MOJmN9vLa5HSH/fg4iIiIiIiIiIiGyfk50zOtfug897z0PEa9exc/wZvN15OppVawOVIN8tmanZd7Dhwgq8tnE4wub4YdiKblh49BtE3Y3kQ1yJiIjI6tl04woADBw4ED/99BPc3NweNX48/GWqx+NFUcSzzz6L+fPnP2qIsbS7d+9i06ZNBmvs1q2bLHlJeRcuXMC4ceOQkyP9xM1p06Zh8GATbu6zkMDAQMnmqJiYGNly37hxQ3I9ODhYttwlUadOHYNr9+/fR1pamix57927h/T0dIPr1vR6zZgxo8ipQiNHjkTt2rWN7k9KSjL4sRbn46xcuTIqVKhQ5NqlS5fMPo/KjgBX6caVhKxcfkOnjBPsNFA3bSAdlJUD/eXryhREVAapKneC4NnQaJyYeQP6xJ0KVERERGQ63zreeGX9s2gxLMSsfdn3crFi7Hb8NfsItAVszCQiIiIiIiIiIioPBEFAcKUGmND2Xfwxej9OvpGEuf2W4+n6z8Hd0UO2vDpRh5MJEfgqfCr6LGqGdj/UwtQdE7EnaiuyC7Jky0tERERUXDbfuAIAHTt2xLZt29CtW7d/TVN5vIlF6hfwT8NKhQoV8Mknn2DGjBmws7OTrd5FixahsLDw0X8/3sCiUqnQtWtX2XKTci5fvoyxY8ciMzNTMu69997DiBEjFKrqH3Z2dpKNBDExMcjLy5Mlt7GGgfr168uSt6RCQqRvVrl8+bIseSMjIyXX69WrJ0tec4WHh+PAgQNPXPfx8cGkSZNMOsNQ848gCAgMDCxWXUFBQUVev3fvXrHOo7LB2MSVHK0eKXkFClVDpUXTItRojPbkefkLISqjBEGAuvZowM7NaKw+YTv0GdLNzUREREqzc9TgmU87YtiPveBUwcGsvUeWnsfioRtxLy5dnuKIiIiIiIiIiIjIank6e6Nfw2H4fuBKnHozGatH7sX41m+hdkV57/G5nZmENWd/wSvrBiNsThWM+r03lp74HjH3ovjwTiIiIrIKZaJxBQB8fX3x448/Yv369ejXrx8cHR0fNbEY+1WlShW88cYb2LdvH4YNGyZrnYmJiVizZg0APFEHADRq1AheXl6y1kDyi4qKwosvvogHDx5Ixk2ZMgVjxoxRqKp/a9DA8JPmdTqd0YaJ4rpw4YLkuq02rhj7uIrr4sWLkuvG6lJCfn4+vvzyyyLX3n33Xbi6upp0jqHfL87OzpITgqQYmriSkZFRrPOobAhwczQak5ApT/MeWQ8hoCqESt6SMfrIKIjZ0lPTiMgwwd4d6lovmBCph+7aLxC1/LOXiIisT/3uQXh1y3MICKti1r6bl1Lw04A/cHbzVf5QmIiIiIiIiIiIqJzSqDRoEdAe73X9En+9cg4HXr2KT3p+iw41e8BeXbx7YUxRoCvAkdhwfLHnXXT/uRG6zK+HT/+agv3RfyK3kD8DJyIiotKhKe0CLK1BgwaYPXs2pk+fjvPnz+PixYuIi4tDamoq8vLyYG9vDw8PD3h6eiIoKAitWrVC9erVFasvISEBY8eONbjevHlzxWohedy4cQMvvvgi0tPTJeMmTpyICRMmKFNUEVq0aIG1a9caXD9+/DjCwsIsmjMvLw/nzp0zuB4UFAQfHx+L5rSUFi1aSK4fP34cEydOtHjeY8eOSa63bNnS4jnNtXjxYiQmJj5xvXnz5ujbt6/J5xiaTuTs7Fzs2lxcXIq8bqypjMq26q5OEABI3ToWl5mLsEpFNz5R2SAIAtQtGkO7PdxwkE4P3d+R0LSX/juAiAxTeTeGWLkD9LcPSQfmpUAXuxaa2qY0uhARESmrQhU3jFnRDwd/PoP9809D1JvWiFKQo8XG98IRfTgRz3zaEY6u8v0gmoiIiIiIiIiIiKxfdc8aGNV8IkY1n4icgmwcjz+AA9F/Yf/1v3AzI0G2vAnpsVh5+mesPP0zHDSOaOHfHh1r9kDHWj1Rw6sOBEGQLTcRERHRQ2WuceUhe3t7NG/e3OoaQdq2bYu2bduWdhkkk9jYWLzwwgu4d++eZNzYsWMxefJkhaoqWuvWrSEIgsGnfh4+fBiTJk2yaM4TJ06goKDA4Lo1/96oVKkSatWqhejo6CLXz549i6ysLJOni5giIyMD58+fN7hep04dVKxY0WL5iiMxMRGLFi164rpGo8HHH39s1lmGPhdL8sWxob182m355qBWwc/FAcnZ+QZj4jNzFayISou6eWNod4RLdjFpT55n4wpRCalqPAf9gygg945knHjnMPSeDaGq2FShyoiIiEynUqvQeVJzBLWqhnVv78GDW1km772w7ToSz93Bc3O7o1ojXxmrJCIiIiIiIiIiIlvhbO+CLrWfQpfaT0HsJSI69SoORP+JA9G7cDrxMLR6rSx587V5iIjZg4iYPZix5x1UqxCAjrV6okPNHmgd2Bku9pa794mIiIjocarSLoCorEhMTMTo0aORkpIiGTdq1Ci88847ClVlmLe3N0JCQgyunzt3Djdv3rRozh07dkiut2/f3qL5LK1Dhw4G1woKCrB3716L5tu9ezcKCwuLVY9SvvzyS+TnP3nz//PPP486deqYdZabm1uR17Ozs4tVm9TeChU4SaO883d1klxn40r5oPKsAFXtGpIxYnwy9Hek/24nImmC2gHqOmMBQW00Vhe9AmJ+uvxFERERFVNAWBW8uuU51O8ZZNa++4kZWDxsEyIWn4XexIktREREREREREREVD4IgoDaPvUwrvWb+H3kLpx+6xZ+enYtngt9EZVcq8iaO+lBPH4/swgv//Esmn1TGSN+64nFx+Yi6u4lPhiWiIiILIqNK0QWcPPmTbzwwgu4ffu2ZNzQoUMxdepUhaoy7umnnza4JooiNm7caLFcmZmZ2LNnj8F1Ly8vq564Aki/XgAs+noBwKZNmyTXn3nmGYvmM9fBgwcRHh7+xHUfHx+8/vrrZp9nqJkkJydHsoFHyoMHD4q87u7uXqzzqOwIdDPSuJLFxpXyQt0i1GiM7oTh6VdEZBqVWyBU/ia8d9FmQ3d9GURRL39RRERExeRUwRFDv++JftM7wc7R9IHWeq0eu785hhUvbUPm3eI/pIGIiIiIiIiIiIjKNjcHd/Ss2x8zn16Ao5NjsW3sSbzV6XM0q9YGKkG+Wz4L9YU4FncAs/Z9gD6LmqLdD7XwwfYJ2HV1MzLzir4Hh4iIiMhUbFwhKqE7d+7ghRdeQHJysmTcwIED8emnnypTlImeeuopqNWGn3y9evVqFBQUWCTX2rVrkZOTY3C9d+/e0GhMv9mjNISEhKBmzZoG10+cOIErV65YJNeFCxdw+vRpg+u1a9dG3bp1LZKrOAoKCvDFF18Uufb222/D1dX8saFeXl5FXhdFEbGxsWafBwAxMTFm5aLyw99I48rtnALkaXUKVUOlSd24HuBgLxmjPXUeop430ROVlKpabwjutY3GiemXob/5ZHMsERGRNREEAWHP1ccrG56Fbx3zvsa8cTQJP/Zdi8t7iv6alYiIiIiIiIiIiOghQRBQv3JjTGz3Hv4YvR+n3kzGdwNWon/D5+HlXFHW3Lczk/DHuaWYuH4Iwub6YdiKbvj5yFe4fPs8p7EQERGR2di4QlQC9+7dw4svvoiEhATJuL59++KLL76AIAgKVWaaSpUqoXv37gbXU1NTsXz58hLnefDgARYvXmxwXRAEPP/88yXOowRjdc6ZM8cieYydU9qv15IlSxAfH//E9WbNmqF///7FOrNatWrw8PAoci0qKsrs8+7cuYP09PQi10JCQsw+j8qWQDdHozEJWXkKVEKlTXCwhzq0vnTQg0zorxWvgY6I/kcQVFDXGQOopZsHAUAftwFidpICVREREZVMpVpeeHn9s2g5oqFZ+3Lu52H1pL+w8f19yMvMl6k6IiIiIiIiIiIiKms8nLzwTMhzmNNvKY5PScDGFw/j9fbT0MgvTNa8Wr0WJxMi8M3+j/DMkhZo/X0g3t06DtsvrUN6bpqsuYmIiKhsYOMKUTGlp6fjxRdfxI0bNyTjevfujVmzZkGlss7fbi+99JLk+s8//1xkg4I5vvrqK4MNBADQqVMnyUkmpho5ciSCg4MN/po3b16JcwwaNAienp4G1yMiIrBz584S5diyZQuOHz9ucN3LywsDBw4sUY6SSE5OxsKFC5+4rlar8fHHHxf7XEEQ0KhRoyLXDhw4YPZ5+/fvL/K6i4sLatc2/rR3KtsCjExcAYD4zFwFKiFroG7R2GiM7uQ5+QshKgcEx4pQ1xxuPFDUQhu1BKK+UP6iiIiISsjOQYOnP2qP4fN7w8nDway9ZzdF4ce+axF7QnqSLxEREREREREREdF/qVVqNK7aHJM7foRNY47gxJQEfN33FzxVfzDcHT1kzZ2SdRsbLqzA5E0j0HxuVTy7vCPmRXyJCzdPQy/qZc1NREREtsk676QnsnJZWVl46aWXjE6B6NatG7755huo1WqFKjNfo0aN0LlzZ4PrOTk5mDJlCrKysop1/qZNm7B+/XqD6yqVCpMmTSrW2aXB0dERL7/8smTMRx99hOjo6GKdHxUVhc8++0wy5uWXX4aDg3k3wljSzJkzkZf35CSK4cOHo27duiU6u1mzZkVeP3DggNmfgzt27CjyepMmTay2kYyU4+VgB1c76T+b2bhSfqhqBkDwqiAZozt/BWIup/AQWYLg0xJCxebGA3OSoY/bJH9BREREFlKvWw28umUIarTwM2vfg5tZWDpqC/6ceQSF+VqZqiMiIiIiIiIiIqKyrqKrLwY2GoEfBv6GU28mY+2ocExo8y7q+Rb9IFlL0Yt6nE06ju8OfoYBS9ui5bfV8ebm0dh04XekZt2RNTcRERHZDt65S2SmnJwcjBs3DpGRkZJxnTp1wrfffguNRqNQZcX34Ycfwt7e3uD65cuXMX78eNy/f9+sczdv3oypU6dKxgwaNAgNGjQw69zSNmLECAQFBRlcz8rKwujRo3H16lWzzr18+TLGjBmD7OxsgzE1a9bEiBEjzDrXkiIiIrBnz54nrnt7e2Py5MklPr9fv35FNnplZWVh6dKlJp9z/PhxnDx5ssi1QYMGFbs+KjsEQTA6dSU+i40r5YWgUkHd3MjUlUItdOcuK1MQURknCALUtUYADl5GY/U390Cfzt97RERkOypUdsXo5X3RdUoLqNSCWXuPLj+Pnweuw81LKTJVR0REREREREREROWFRqVBmH9bvN1lOraPO4Vjk+Mw+5nF6FP/WdmnsaTlpGJL5Gq8vXUMWn7nj2cWt8BX4VNxLO4ACnQFsuYmIiIi6yWIoiiWdhFEtqKgoADjx4/HsWPHJOPq1auHuXPnSjaDWIpGo0HlypVLfM6iRYswZ84cyRg/Pz9MmzYNXbt2lYxLTU3F3LlzsWHDBsk4X19fbNmyBZ6enmbXW5SRI0cabFYAgEmTJuG1116zSK7Tp09j1KhR0Ol0BmMcHR0xefJkjBgxQvJzoaCgACtWrMAPP/yA/Px8g3FqtRorV640OJVEbgUFBXjmmWcQFxf3xNqsWbMwYMAAi+SZNGlSkc0xjo6OWLVqFUJCQiT3Z2RkYPDgwUXW6ePjg/3798POzs4itcopKioK06ZN+9e1GTNmIDg4uJQqKns+OxWNnQmGbwgL9nDBiq7yPnWErIf+7j3kz5gnGaOqGQCHyS8qVBFR2adPj4Iucg4AI1+S2ntA0+QTCHauitRFRERkKQl/38K6t/ciPTnTrH0qjQqdJ4Wh/bimUGv43CEiIiIiIiIiIiKyLK1ei/PJp3Dwxi4curEbF2+dUSy3s50LWgV2RPug7uhQswcCvWoplpuIiIhKFxtXiMyQlJRktGlDaVWrVkV4eHiJzxFFEWPHjsXhw4eNxtapUwe9evVC48aN4evrC3t7ezx48ADR0dE4cuQI9u7di7y8PMkz1Go1VqxYgbCwsBLX/pCSjSsAsGDBAnz77bdG43x8fNCnTx+EhYXB398fzs7OyM7ORkJCAk6dOoWdO3fi3r17Rs9588038fLLL1ui9GJZuHAh5s6d+8T1Jk2aYPXq1RAE854ka8j58+cxdOhQ6PX6J9Z8fX0xf/58NGzYsMi99+7dw+TJk3Hq1Kki1z/44AOMHj3aInXKjY0r8lt+NRk/X0owuO6oVmF/vxZQWehzm6xf/re/QB+bKBnj8MlkqLwt03BJRIAudj30ybuMxgneTaGu+4rF3m8QEREpJTcjH1s/PoDIP2+Yvbd6qC8Gze4K70APyxdGRERERERERERE9P9Ss+/icMxeHIzehYiYPbifa/w+Jkvx96iB9jW7o31Qd7QO7AxXBzfFchMREZGyNKVdABFZB0EQMHfuXIwcORJRUVGSsdeuXcO1a9dKlOuzzz6zaNNKaXj55ZcRGxuLzZs3S8alpKTg119/xa+//lrsXAMGDMD48eOLvb+kbt26hQULFjxxXa1W45NPPrHoTaSNGzfG6NGjsXTp0ifW7ty5g2HDhuHZZ59Fv379UKNGDTg4OODmzZvYu3cvVq5ciZSUoidoNGvWDKNGjbJYnWT7AtwcJdfzdHqk5BbA19lBoYqotKlbNDbauKI7eR6q3p2UKYioHFAF9Ic+/QqQbbiREADEe39DvHsUgm9bhSojIiKyDCd3Bzz3bQ8Ed7qG7dMjkJ9VYPLexHN3ML//H+j1bhs0HxbCBk4iIiIiIiIiIiKSRUWXSujfcDj6NxwOnV6HyFt/49CN3Th4YxfO3zwFvfjkw2ctJSE9Fr+fWYTfzyyCRqVB02qt0T6oO9rX7I6QyqFQCZxKTUREVFawcYWIHqlQoQKWLVuG0aNHl6gxRYpKpcK0adMwePBgWc5XkiAI+PLLL6HVarF9+3bZ8jz99NP44osvSvUGlZkzZyInJ+eJ60OHDkW9evUsnu+NN97AkSNHimyiKiwsxOrVq7F69WqTz3N1dcWsWbOgUvGLWfqfADcnozFxmblsXClH1E1CULjhT0CrMxijO3Ueml4dedMgkYUIKg00wWOhPTcd0BdKxupiVkNwrw3BqZJC1REREVmGIAgI7R+MwBZ+2Ph+OGJPJJu8tzBXi22fHcLV8Dj0/6Iz3H1dZKyUiIiIiIiIiIiIyju1So3GVZujcdXmeK3DVNzPuYfDsftw6MZuHLqxG6nZd2TLrdVrcTIhAicTIjDnwMfwcvZBuxpd/38iSzf4uFaWLTcRERHJj3fwEtG/eHt7Y82aNejWrZvFz3Zzc8OCBQvw/PPPW/zs0qJWq/HNN9/g9deMcY9SAAEAAElEQVRft/hNzIIgYPLkyZgzZw7UarVFzzbH0aNHsWvXrieue3l5YfLkybLktLe3x+LFixEQEFDis5ydnbFw4UL4+/tboDIqS6q5OBp9I5SQmatILWQdBGcnqBvVlYwRU+9DHyM9GYKIzCM4V4Eq0ISmZl0+dNeWQhQNN5cRERFZMw8/N4xe3he9P2gLjb15X+dfj0jAj33X4OLOaJmqIyIiIiIiIiIiInqSp7M3ngl5Dl/3XYJjU+KwdewJvNXpczSv3g5qQd77mdJyUrD10hq8s/UltPouAE8vbo6vwqfiWNwBFOhMn25NRERE1oGNK0T0BBcXF8yfPx+zZ8+Gt7e3Rc7s2bMnduzYgY4dO1rkPGsiCAJeffVVrFmzxmLTR+rVq4c1a9Zg4sSJFjmvuAoLCzF9+vQi19566y1UqFBBtty+vr5Yu3Yt2rRpU+wzAgICsHr1aoSFhVmwMior7NUq+Lk4SsbEsXGl3FG3CDUaozt5Xv5CiMoZVZVOEDwbGo0TM29An7hTgYqIiIjkoVIJaDO6MSZsGgy/EB+z9uam5+OPN3bjj7f2IPdBnkwVEhERERERERERERVNJagQUjkUE9u9hzUv7MPpt25i/qA1eC70RVR2qyp7/it3LmDh0W8w4reeaPZNZYxbOwArTv2E2LTrEEVR9vxERERUMprSLoCIrFf//v3RrVs3bNiwAb/99hsSEsx7wrydnR26d++O0aNHo3HjxjJVaT1CQ0OxceNG7NmzB7/++ivOnDlj9hnNmjXDqFGj0L1791KdsvLQ8uXLERMT88T10NBQDBo0SPb8np6eWLp0KTZt2oT58+cjKSnJpH2urq4YNWoUxo8fDycnJ5mrJFsW6OaEpGzDN3wlZPFmsPJGFRwEuLsCGVkGY3RnL0Ec1BuCvZ2ClRGVbYIgQF17NLRnPwUKMyVj9QnbIXjUh8q9pjLFERERyaBSLS+MXzsQB346g0MLz0CvM/2Hqhe3X0f8qZsYMLMLarWtLmOVRERERERERERERIa5O3qgV70B6FVvAERRxLWUSzh0YzcO3diN04lHZJ2KklOYjfDrOxF+/Z+H3lWrEIC2QV3RPqg7Wgd2goeTl2y5iYiIqHgEka2mRGSiq1evIiIiAleuXEF0dDRSU1ORnZ2NwsJCODs7w83NDf7+/qhduzaaN2+Otm3bwtXVtbTLLjV37tzBwYMHce7cOdy4cQM3b95EVlYW8vLy4OjoCFdXV/j5+aFmzZoIDQ1Fx44d4evrW9plP3Lnzh306tULOTk5/7quUqmwbt06NGjQQNF69Ho9jh8/jgMHDuDChQtITEzEgwcPoNfr4eLigipVqqB+/fpo06YNunXrBmdnZ0Xrs7SoqChMmzbtX9dmzJiB4ODgUqqobPr+QhxWXb9lcL2Skz229WmmYEVkDQo374Y2/KhkjN0Lg6BpZnw6BBGZR3/vPHRXfjQe6OgDTejHEDTSk7OIiIhsQeL5O9jw7l7ci3tg9t6WzzdAj3daw96JTdVERERERERERERkPXIKsnEi4RAibuxBRMwexNy7plhulaBCwyrN0C6oG9rV6IrQai1hr7ZXLD8REREVjY0rREREVoiNK8rYEnsHX/795FShx+3v1wLOmtKfgETK0d+8g/xZP0vGqOrWhMPEkQpVRFS+6KJXQn/7kNE4wbcdNLVfUKAiIiIi+RXkFGL3N8dw4vdIs/d6B3rg2a+7oloj63kYBhEREREREREREdHjktPjcSjmnyaWI7HhyMrPUCy3i70rWgV0/P+JLN1Qw6sOBEFQLD8RERH9Q1PaBRARERGVFn83J6MxCZm5qOtZfqdHlUcqP18I1apATDI8jUcfFQPxQQaECu4KVkZUPqhqPAf9gygg945knHjnMPSeDaGq2FShyoiIiORj72yHpz/ugLpdArHxg/3IvJtt8t57celYPHQjOrzSDJ0mNIPajo33REREREREREREZF2qegRgWNOxGNZ0LLR6Lc4ln0TEjT04FLMbF2+egQj5nr+eXZCFfdd3YN/1HQCAKu7V0T6oG9oFdUObwM7wdPaWLTcRERH9DyeuEBERWSFOXFHG/fxC9Np+WjLm8+a10NPfR6GKyFpoDx5H4Ya/JGM0fbvBrls7hSoiKl/0mXHQXZgFiDrpQI0LNE0+heDgoUhdRERESshJz8P2zw/h4o5os/f6hfhg0NddUammlwyVEREREREREREREVleWk4qjsSGI+LGPxNZ7mYZfsikpQkQ0KBKU7QL6oZ2NbqiafXWsFfbK5afiIioPGHjChERkRVi44oyRFFEj22nkFFo+Mbol+pVw/j61RWsiqyBmJmNvI/mAHq9wRihsg8cPpjIEcJEMtEl7oA+frPROMGjPtQhkyEIKvmLIiIiUtCFHdex/bNDyH2Qb9Y+jYMaPd5qhZYjG0Gl4ntVIiIiIiIiIiIish2iKOJayiUcurEbETF7cCrhMAp0BYrld7ZzQYuA9mgX1A3tg7qhpndd3hNARERkIZrSLoCIiIiotAiCgAA3J1xMyzIYE5+Zq2BFZC0ENxeo6teGPjLKYIx4OwVi4i0I/n4KVkZUfqiq9YZ4PxJihvTT5sX0y9DfDIe6ajeFKiMiIlJGo6dqIzCsCjZ9uB/RhxNN3qfN12Hnl0dwdX88Bs7sjApV3GSskoiIiIiIiIiIiMhyBEFAcKUGCK7UAONav4ncwhyciD+EiJg9OHRjN2LuXZM1f05hNg5E/4UD0X8BACq7Vf1nGktQN7QJ7AxvFx9Z8xMREZVlnLhCRERkhThxRTnTT0dje3yKwfXaFZzxW7fGClZE1kJ3/jIKfvlDMkbdoQXsn+2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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1223, "width": 1623 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "t = np.linspace(0, 10, 100)\n", "\n", "ax.plot(t, S0(5 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = \\log\\ 5$\")\n", "ax.plot(t, S0(2 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = \\log\\ 2$\")\n", "ax.plot(t, S0(t), label=r\"$\\beta^{\\top} \\mathbf{x} = 0$ ($S_0$)\")\n", "ax.plot(t, S0(0.5 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = -\\log\\ 2$\")\n", "ax.plot(t, S0(0.2 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = -\\log\\ 5$\")\n", "\n", "ax.set_xlim(0, 10)\n", "ax.set_xlabel(r\"$t$\")\n", "\n", "ax.yaxis.set_major_formatter(pct_formatter)\n", "ax.set_ylim(-0.025, 1)\n", "ax.set_ylabel(r\"Survival probability, $S(t\\ |\\ \\beta, \\mathbf{x})$\")\n", "\n", "ax.legend(loc=1)\n", "ax.set_title(\"Accelerated failure times\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Accelerated failure time models are equivalent to log-linear models for $T$,\n", "\n", "$$Y = \\log T = \\beta^{\\top} \\mathbf{x} + \\varepsilon.$$\n", "\n", "A choice of distribution for the error term $\\varepsilon$ determines baseline survival function, $S_0$, of the accelerated failure time model. The following table shows the correspondence between the distribution of $\\varepsilon$ and $S_0$ for several common accelerated failure time models.\n", "\n", "| Log-linear error distribution ($\\varepsilon$) | Baseline survival function ($S_0$) |\n", "|-----------------------------------------------|-------------------------------------|\n", "| [Normal](https://en.wikipedia.org/wiki/Normal_distribution) | [Log-normal](https://en.wikipedia.org/wiki/Log-normal_distribution) |\n", "| Extreme value ([Gumbel](https://en.wikipedia.org/wiki/Gumbel_distribution)) | [Weibull](https://en.wikipedia.org/wiki/Weibull_distribution) |\n", "| [Logistic](https://en.wikipedia.org/wiki/Logistic_distribution) | [Log-logistic](https://en.wikipedia.org/wiki/Log-logistic_distribution) |\n", "\n", "Accelerated failure time models are conventionally named after their baseline survival function, $S_0$. The rest of this post will show how to implement Weibull and log-logistic survival regression models in PyMC using the mastectomy data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Weibull survival regression\n", "\n", "In this example, the covariates are $\\mathbf{x}_i = \\left(1\\ x^{\\textrm{met}}_i\\right)^{\\top}$, where\n", "\n", "$$\n", "\\begin{align*}\n", "x^{\\textrm{met}}_i\n", " & = \\begin{cases}\n", " 0 & \\textrm{if the } i\\textrm{-th patient's cancer had not metastized} \\\\\n", " 1 & \\textrm{if the } i\\textrm{-th patient's cancer had metastized}\n", " \\end{cases}.\n", "\\end{align*}\n", "$$\n", "\n", "We construct the matrix of covariates $\\mathbf{X}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "n_patient, _ = df.shape\n", "\n", "X = np.empty((n_patient, 2))\n", "X[:, 0] = 1.0\n", "X[:, 1] = df.metastized\n", "\n", "with pm.Model() as weibull_model:\n", " predictors = pm.Data(\"predictors\", X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The likelihood of the data is specified in two parts, one for uncensored samples, and one for censored samples. Since $Y = \\eta + \\varepsilon$, and $\\varepsilon \\sim \\textrm{Gumbel}(0, s)$, $Y \\sim \\textrm{Gumbel}(\\eta, s)$. For the uncensored survival times, the likelihood is implemented as" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " censored = pm.Data(\"censored\", df.event.values == 0.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We transform the observed times to the log scale and standardize them." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "y = np.log(df.time.values)\n", "y_std = (y - y.mean()) / y.std()\n", "\n", "with weibull_model:\n", " y_obs = pm.Data(\"y_obs\", y_std[df.event.values == 1.0])\n", " y_cens = pm.Data(\"y_cens\", y_std[df.event.values == 0.0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We place independent, vague normal prior distributions on the regression coefficients,\n", "\n", "$$\\beta \\sim N(0, 5^2 I_2).$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " beta = pm.Normal(\"beta\", mu=0.0, sigma=5.0, shape=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The covariates, $\\mathbf{x}$, affect value of $Y = \\log T$ through $\\eta = \\beta^{\\top} \\mathbf{x}$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " eta = beta.dot(predictors.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For Weibull regression, we use\n", "\n", "$$\n", "\\begin{align*}\n", " \\varepsilon\n", " & \\sim \\textrm{Gumbel}(0, s) \\\\\n", " s\n", " & \\sim \\textrm{HalfNormal(5)}.\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " s = pm.HalfNormal(\"s\", 5.0)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " events = pm.Gumbel(\"events\", eta[~censored], s, observed=y_obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For censored observations, we only know that their true survival time exceeded the total time that they were under observation. This probability is given by the survival function of the Gumbel distribution,\n", "\n", "$$P(Y \\geq y) = 1 - \\exp\\left(-\\exp\\left(-\\frac{y - \\mu}{s}\\right)\\right).$$\n", "\n", "This survival function is implemented below." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def gumbel_sf(y, mu, sigma):\n", " return 1.0 - pt.exp(-pt.exp(-(y - mu) / sigma))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now specify the likelihood for the censored observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " censored_like = pm.Potential(\"censored_like\", gumbel_sf(y_cens, eta[censored], s))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now sample from the model." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "SEED = 845199 # from random.org, for reproducibility\n", "\n", "SAMPLE_KWARGS = {\"chains\": 4, \"tune\": 1000, \"random_seed\": [SEED + i for i in range(4)]}" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta, s]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8e1d10cc15d1458e93d4320e5e8b237a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 14 seconds.\n"
     ]
    }
   ],
   "source": [
    "with weibull_model:\n",
    "    weibull_trace = pm.sample(**SAMPLE_KWARGS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The energy plot and Bayesian fraction of missing information give no cause for concern about poor mixing in NUTS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "
" ] }, "metadata": { "image/png": { "height": 559, "width": 2411 } }, "output_type": "display_data" } ], "source": [ "az.plot_energy(weibull_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $\\hat{R}$ statistics also indicate convergence." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.DataArray ()> Size: 8B\n",
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" ], "text/plain": [ " Size: 8B\n", "array(1.003405)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.rhat(weibull_trace).ds.to_array().max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot posterior distributions of the parameters." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 829, "width": 2423 } }, "output_type": "display_data" } ], "source": [ "az.plot_forest(weibull_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are somewhat interesting (especially the fact that the posterior of $\\beta_1$ is fairly well-separated from zero), but the posterior predictive survival curves will be much more interpretable.\n", "\n", "The advantage of using `Data` variables is that we can now change their values to perform posterior predictive sampling. For posterior prediction, we set $X$ to have two rows, one for a subject whose cancer had not metastized and one for a subject whose cancer had metastized. Since we want to predict actual survival times, none of the posterior predictive rows are censored." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "X_pp = np.empty((2, 2))\n", "X_pp[:, 0] = 1.0\n", "X_pp[:, 1] = [0, 1]\n", "\n", "cens_pp = np.repeat(False, 2)\n", "\n", "with weibull_model:\n", " pm.set_data(\n", " {\"predictors\": X_pp, \"censored\": cens_pp, \"y_obs\": np.zeros(2), \"y_cens\": np.zeros(0)}\n", " )" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [events]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e40a4275374e485a83076ab0108cb3ba", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with weibull_model:\n",
    "    pp_weibull_trace = pm.sample_posterior_predictive(weibull_trace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive survival times show that, on average, patients whose cancer had not metastized survived longer than those whose cancer had metastized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "t_plot = xr.DataArray(np.linspace(0, 230, 100), dims=[\"time\"])\n",
    "pp_samples = az.extract(pp_weibull_trace.posterior_predictive[\"events\"])\n",
    "\n",
    "linear_pred = y.mean() + y.std() * pp_samples\n",
    "\n",
    "weibull_pp_surv = np.exp(linear_pred) >= t_plot\n",
    "\n",
    "weibull_pp_surv_mean = weibull_pp_surv.mean(dim=\"sample\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1VblyZUVFRalIkSIKCgpSenq6EhISdOHCBW3dulUbN27UunXrlJmZaZozMzNT//d//6ciRYqocePGHt0v15/+jf4JADzLx2az2XJ7EwAA3OwuX76sNm3a6OLFi4Zrypcvr08++UQlS5Z0OO/69es1ZMgQpaamGq5p3ry5Pv30U6f2CwAAkJ0lS5Zo5MiR2caioqK0evXqHN6R606fPq327dubfpNTvXr1NG3aNBUsWNDhvEuXLtVLL71k+o8GPXr00JgxY5zaLwAA8LyNGzeqd+/eTj3H19dXhQsX1p9//mm4pnPnzho3bpy723OKN/U227Zt08MPPyyzf55q3bq13nnnHQUFBTmc98MPP9SkSZNM1zz33HMaOHCgwzkBALjVeEv/NGXKFE2dOjXbWMOGDfX555/n2F48gf4JAIC8p2/fvoqJick2FhUVpQ4dOqhNmzaqVq2afHx8HM57+vRpffLJJ1q4cKHpz35JKly4sL755hunrgXZq831J3P0TwDgnhu/6h0AADhtypQppkMrxYsX16xZs5waWpGkZs2aadq0afLz8zNcs27dOv38889O5QUAAPB248aNM72wXrVqVU2fPt3pi/mdO3fW66+/brrmq6++svsNTgAAIPf5+PioTJky6tChg0aMGKG5c+dqy5Yteu+993J7azfwlt4mKytLr7/+uulNA82bN9eECROcumlAkp544gkNHjzYdM2HH36o8+fPO5UXAAD8fzdT/+Qt6J8AALg5+Pn56d5779WsWbP0888/69lnn1X16tWdGlqRpFKlSmnMmDH69NNPVahQIdO1cXFxevfdd93Z9r9w/ck++icAcA+DKwAAuOnPP//Ul19+aRj38/PT+PHjVaxYMZfyN2nSxO4vPe+//75LuQEAALzRnj179NNPPxnGg4ODNXnyZIWGhrqUv0uXLurWrZthPCsri/4MAIA8KCoqSm3atNFzzz2nWbNmadOmTfrhhx80fvx49evXTw0aNFBISEhub/MG3tTb/Pjjj9q7d69hvFixYnr33XcVEBDgUv7BgwerSZMmhvHU1FR98sknLuUGAOBWdLP2T96E/gkAgLwtMDBQPXr00Pfff6+pU6eqcePGTg+rZKdZs2b64osv7A6JLFu2TMePH3e7HtefHEf/BACuY3AFAAA3zZ49W+np6Ybxbt26qV69em7VGDBggMqVK2cYP3DggNatW+dWDQAAAG/x6aefmsafeOIJlSlTxq0aL7zwgiIiIgzjv/zyi44ePepWDQAA4J4iRYpo6NChmj59umJiYrR69Wq9//77GjhwoBo3bqzw8PDc3qJDvKm3mTFjhmn8xRdfdPpbO6/n4+Oj0aNHm954sHjxYiUkJLhcAwAAb+Yt/ZM3oX8CACBv8vPzU5cuXfTDDz9ozJgxKlWqlMdrlCtXTh9//LH8/f0N12RmZmrBggVu1+L6k+PonwDAdQyuAADghrS0NH311VeG8cDAQA0ZMsTtOgEBARo2bJjpmi+++MLtOgAAADe7Cxcu6IcffjCMFy5cWH369HG7ToECBTRgwADDuM1mMz2VDwAAWK98+fJ66qmndOeddyoyMjK3t+MSb+ptdu3apZ07dxrGq1atqvbt27tVQ5LKlCmjBx980DCempqqJUuWuF0HAABv5A39kzehfwIAIO8aP3683nrrLRUvXtzSOrVq1VKPHj1M16xcudKtGlx/ch79EwC4hsEVAADcsHbtWiUmJhrGO3TooCJFinikVuvWrRUVFWUYX79+vS5duuSRWgAAADerlStXKjMz0zDes2dP5cuXzyO1evTooeDgYMP4t99+q4yMDI/UAgAAtyZv6m1WrFhhGu/bt6/Luf+rT58+8vHxcXkvAAAAeQH9EwAAeZfZySGeNnjwYNPTPf7880+3Tirh+pNr6J8AwHkMrgAA4AZ7v2R07drVY7X8/PzUqVMnw3h6erpWrVrlsXoAAAA3o2+++cYw5uPjoy5dunisVlhYmO69917DeHx8vH777TeP1QMAALceb+ltsrKy9N133xnGg4OD1bZtW5dyZ6ds2bKqV6+eYXzfvn1u3dABAABgNfonAADwt8jISNOf05K0d+9el/Nz/ck19E8A4DwGVwAAcFFmZqY2bNhgGC9atKjdXxydZe+4yrVr13q0HgAAwM0kPj5ee/bsMYzXrl1bJUqU8GhN+jMAAGAVb+pt9u7dqwsXLhjG7777buXPn9+l3EbatWtnGl+3bp1H6wEAAHgS/RMAALhe06ZNTeOnTp1yKS/Xn9xD/wQAzmFwBQAAF+3evVuXL182jDdr1sz0SEhXVKxYUcWLFzeMb9q0ya0jMwEAAG5mMTExstlshvFmzZp5vGbDhg0VGBhoGOfEFQAA4Cpv6m1iYmJM41a8lubNm5vGzb6QBgAAILfRPwEAgOsVK1bMNJ6QkOBSXq4/uYf+CQCcw+AKAAAu2rRpk2n8jjvusKRu48aNDWPJycluHf8JAABwM9u4caNp3Ir+LCgoSLVr1zaMHz16VHFxcR6vCwAAvJ839Tb2XovZ9S5XlS5dWlFRUYbxLVu2KDMz0+N1AQAAPIH+CQAAXK9QoUKm8StXrriUl+tP7qF/AgDnMLgCAICLzI7KlKTo6GhL6tasWdM0zuAKAAC4VZn1QX5+fqpevbolde31ffRnAADAFd7U25g9p0iRIrrtttuczukIs9eSmpqqEydOWFIXAADAXfRPAADgeteuXTON58uXz6W8XH9yH/0TADiOwRUAAFy0b98+w1hISIjKli1rSd0aNWqYxvfv329JXQAAgLwsIyNDhw4dMoyXL19eQUFBltS2d9Ge/gwAADjLm3qbP/74Q5cuXXK5njvs5Ta7vgcAAJBb6J8AAMB/nTt3zjQeHh7udE6uP3kG/RMAOI7BFQAAXJCamqrY2FjDeNmyZeXj42NJ7fLly5vGDx48aEldAACAvOzEiRNKS0szjNvrodxBfwYAADzNm3obsxsgHKnnDvo0AABwM6J/AgAA/7Vnzx7TeOnSpZ3OyfUnz6B/AgDH+ef2BgAAuBnFxsbKZrMZxsuUKWNZ7dDQUEVGRio+Pj7b+OnTpy2rDQAAbm1xcXGKiYnR7t27dejQIcXGxio+Pl5Xr16Vn5+f8ufPr/DwcBUvXlwlS5ZUtWrVFB0drejoaPn6WvvdGfZ6IFcu2DvKXu9HfwYAAJzlTb2NN70WAADgHc6cOaOYmBjt3btXhw8f1tmzZ3Xp0iVdvXpVAQEByp8/vwoWLKjbbrtNpUuXVvXq1VW7dm3dfvvtObI/+icAAHC9rKwsrV271nSNK32KN/Uc3vRaAMCbMbgCAIALzE5bkaSSJUtaWr9kyZKGgyvx8fFKTU1VcHCwpXsAAAC3lrNnz6pp06aG8czMTKWlpSkpKUmxsbHavHmzli5dKkmKiIjQXXfdpe7du6tu3bqW7C83+7OgoCAVKlRIFy9ezDZub28AAAD/5U29TW6+Fnu56dMAALj1bNmyRXfffbdh/Nq1a7p27ZoSExN14sQJ/f777//EihYtqnvvvVc9evRQlSpVLNsj/RMAALjeunXrFBcXZxgPDw93aXCF60+eQf8EAI6z9utOAQDwUmfPnjWNFy5c2NL6hQoVMo3b2x8AAICzzE6bsychIUFLly5Vz5491bVrV23YsMGDO/tLXu7PLl26pCtXrlhaHwAAeBdv6m3svZYiRYo4nMtZ+fPnV0hIiGGca2gAANx6srKyXH7un3/+qS+++EIdO3ZUv379tHv3bg/u7P+jfwIAANebOXOmabxVq1by9XX+VmCuP3kG/RMAOI7BFQAAXHDp0iXTuJW/8Eh/faOTGXv7AwAAyC179uzR//73Pw0dOtTwBDlX0J8BAABv4k29jb21Vt8EYfZeJSYmujWgDQAAbl2//fabunXrptGjRys1NdWjuemfAADA39atW6eYmBjTNQ888IBLubn+5Dn0TwDgGAZXAABwQUJCgmk8LCzM0vr28tvbHwAAQG77/vvv1bFjR+3atcsj+ejPAACAN/Gm3sbe2vDwcIdzucIsf2ZmppKSkiytDwAAvNu8efPUuXNnnThxwmM56Z8AAIAkXbt2TW+88Ybpmlq1aqlRo0Yu5ef6k+fQPwGAYxhcAQDABYmJiabx0NBQS+vby8+NkQAA4GZw4cIF9erVS2vWrHE7V17vz+ztDwAA4Hre1NuYrQ0ICFBgYKDDuVxBnwYAAKx24sQJ9ejRQ7t37/ZIPvonAAAgSRMmTNDx48dN1zz99NMu5+f6k+fQPwGAY/xzewMAANyM7B35HRwcbGl9e/mvXLliaX0AAHBrCQgIULVq1VS5cmVVrlxZpUuXVmhoqMLCwpQvXz4lJSUpISFBFy9e1I4dO7R582YdPXrUodxXr17VkCFD9Omnn6phw4Yu7zGv92f29gcAAHA9b+ptzNaGhIQ4nMdV9GkAAOBvwcHB/1zjqlSpkqKiohQWFqawsDD5+/srMTFRCQkJunDhgrZt26ZNmzYpNjbWodwJCQnq37+/vvjiC1WsWNGtfdI/AQCANWvWaPbs2aZr2rRpoyZNmrhcg+tPnkP/BACOYXAFAAAXZGRkmMb9/a39ERsQEGAaT09Pt7Q+AADwfhEREbr77rt11113qWnTpg5f1O3cubMkKTY2VrNmzdKiRYvsDtVeu3ZNQ4cO1bJly3Tbbbe5tF97/Zm9/sld9GcAAMCTvKm3MXstVl9Dk+jTAAC41RUrVkytWrVSy5Ytdccddzj8bdsPPvigJOnw4cP69NNPtXLlSrt9Q0JCgp566iktXrzYrW8op38CAODWFhsbqxdeeEE2m81wTUREhF566SW36nD9yXPonwDAMb65vQEAAG5G9n6hsPqXHnv57f1yCQAAYKRmzZoaN26c1q5dq7feekutW7d26ZuISpYsqZdfflmrV6/Wvffea3f9pUuXNHz4cFe2LMl+f+bn5+dybkfQnwEAAE/ypt7G7LVY/TocqUGfBgCA9/Hx8dEdd9yhKVOm6JdfftGoUaPUokULh4dWrlepUiW9/fbb+v7771W/fn2760+cOKGxY8e6su1/0D8BAHDrSk5O1hNPPKGEhATTda+++qqKFSvmVi2uP3kO/RMAOIbBFQAAXGDvFwqrf+mxl59JfQAA4IoOHTpo0aJF6ty5s/Lly+eRnJGRkZo6dapGjhxp9wL0pk2btHz5cpfq5PaJeFyQBgAAnuRNvU1uf+MlA8YAANx6Bg4cqNmzZ6t169Ye+ze7qKgozZ49W4899pjdtcuWLdOWLVtcrkX/BADArSkzM1PPPfecDh06ZLruwQcfVLt27dyux/Unz6F/AgDHMLgCAIAL7P3CkZWVZWn9zMxM03hO/NIFAAC8jyvfOumovn37OnRk+fvvv2+318mOvf7HlZzOsJc/J77NCQAAeA9v6m3MXovVr0PK/S+gAQAAOc+qa1z+/v564YUX1L9/f7trJ02a5FYdI/RPAAB4rzFjxujXX381XVO9enWNGjXKI/W4/uQ59E8A4BgGVwAAcEFAQIBp3OpJeXv57e0PAAAgNzz88MPq3bu36ZrY2Fj98MMPTue21/9YfVGa/gwAAHiSN/U2Zmtz4sYBezXo0wAAgLOef/553XvvvaZrNm/erF27drmUn/4JAIBbz/vvv6/58+ebrilWrJimTp3qsSFdrj95Dv0TADiGwRUAAFxg71sH0tPTLa3PjZEAAOBmNXz4cJUoUcJ0zfLly53Oa68/S0tLczqnM+jPAACAJ3lTb2P2Wqy+hibRpwEAAM/z8fHRmDFjFBwcbLrOlWtcEv0TAAC3mlmzZmnatGmmayIiIvTZZ5/Z/Tc2Z3D9yXPonwDAMQyuAADgAnsXolNTUy2tn5KSYhoPCgqytD4AAICrAgMD9eSTT5qu2bBhg91+57/yen9mb38AAADX86bexmytsz2fK+jTAACAFSIjI9WnTx/TNT/++KNLuemfAAC4dXz11VcaN26c6ZqQkBB98sknqlixokdrc/3Jc+ifAMAxDK4AAOCCAgUKmMat/qXHXv6IiAhL6wMAALijS5cuioyMNIynpaVp165dTuXM6/2Zvf0BAABcz5t6G7O16enpln97J30aAACwSt++feXn52cYP3/+vE6dOuV0XvonAABuDd98841GjRolm81muCYoKEgff/yxoqOjPV6f60+eQ/8EAI5hcAUAABfY+4UiKSnJ0vr28vMLDwAAyMv8/PzUuHFj0zU7d+50Kif9GQAA8Cbe1Nvk5dfi6+ur8PBwS+sDAADvFRERoZo1a5qucfYal0T/BADAreCnn37Siy++qKysLMM1gYGBmjp1qho0aGDJHvJyzyFx/QkAvBGDKwAAuMDsG8Il6cKFC5bWt5e/YMGCltYHAABwV7NmzUzjJ0+edCof/RkAAPAm3tTb2HstcXFxDudyhdlrKVCggHx8fCytDwAAvJunr3FJ9E8AAHi7NWvW6Omnn1ZGRobhmoCAAE2aNMlur+EOrj95Dv0TADiGwRUAAFxQvHhx07jVv/DYyx8VFWVpfQAAAHdVrFjRNB4bG+tUvrzcnxUsWFDBwcGW1gcAAN7Fm3obe6/Fypsgrl69quTkZMM419AAAIC77F3jOnPmjNM56Z8AAPBeMTExGjJkiNLT0w3X+Pn56d1339U999xj6V64/uQZ9E8A4DgGVwAAcEHJkiVN465chHaG2Y2ckZGR3BgJAADyvEKFCpnGnT2yOzf7sytXrujixYuGcXt7AwAA+C9v6m1y87XYG4amTwMAAO6yd40rMTHR6Zz0TwAAeKfNmzfriSee0LVr1wzX+Pr66q233tJ9991n+X64/uQZ9E8A4DgGVwAAcIG9XypcOfbbUcnJyYqPjzeM8wsPAAC4Gdg7svvq1atO5StVqpRp3Mr+7NSpU6Zx+jMAAOAsb+ptvOm1AAAA/Jenr3FJ9E8AAHij7du3a+DAgbpy5YrhGh8fH40ZM0adOnXKkT15U8/hTa8FALwZgysAALggJCTE9BeL48ePy2azWVL72LFjpvEqVapYUhcAAMCTPN0rlS1bVoGBgYZxez2UO44ePWoapz8DAADO8qbepnLlyqbxm+m1AAAA/JcV/x5I/wQAgHfZtWuXBgwYoNTUVNN1L7/8sh588MEc2hXXnzyF/gkAHMfgCgAALqpevbphLCUlRSdOnLCk7p49e0zjVatWtaQuAACAJ5mdICdJ+fPndypfQECAKlWqZBg/duyYS99w6Yi9e/eaxqtVq2ZJXQAA4L28qbcpUaKEIiIiXK7nDvo0AABgNU9f45LonwAA8Cb79u1T//79dfnyZdN1L774oh599NEc2tVfuP7kGfRPAOA4BlcAAHCR2eCK9Nc3Jlhh9+7dpnF7+wIAAMgLLl26ZBoPDw93OmeNGjUMY5mZmXYHgF1lr+/jgjQAAHCFN/U2Zq/lwoULOnfunNM5HWH2WoKDg1WuXDlL6gIAgFuHFde4JPonAAC8wcGDB9WvXz8lJiaarnv66af1v//9L4d29W9cf3If/RMAOI7BFQAAXNSwYUPT+O+//25J3ZiYGMNYSEiI6S9iAAAAecXhw4dN4yVKlHA6Z270Z1evXtWOHTsM4+XLl1eRIkU8XhcAAHg/b+ptcuO1nD59WmfOnDGM16tXT35+fh6vCwAAbi1WXOOS6J8AALjZHT16VP369VNCQoLpuieffFJPPPFEzmwqG1x/cg/9EwA4h8EVAABcFB0drdDQUMP4hg0bZLPZPFrzyJEj+uOPPwzjDRs2lL+/v0drAgAAWGHDhg2m8dKlSzuds3HjxvLx8TGMr1+/3umc9mzcuFFpaWmG8aZNm3q8JgAAuDV4U2/TuHFj0/i6detcymtm7dq1pnH6NAAA4AlWXOOS6J8AALiZHT9+XH369NHFixdN1/Xv31/Dhg3LoV1lj+tP7qF/AgDnMLgCAICL/Pz8TH/BOH/+vLZu3erRmitXrjSNt2jRwqP1AAAArJCZmanffvvNdE10dLTTeQsVKqTq1asbxnfs2KGzZ886ndeMvf6sefPmHq0HAABuHd7U29SoUUOFChUyjK9evVpXr151KbeRb7/91jTOdTQAAOCuxMRE7dq1y3SNK9e4JPonAABuVqdPn1bfvn114cIF03W9e/fW8OHDc2hXxrj+5B76JwBwDoMrAAC4oUOHDqbxxYsXe6xWZmamli9fbhj39/dX27ZtPVYPAADAKkuXLlV8fLxh3N/fX7Vr13Ypt1l/ZrPZtGTJEpfyZufy5cv68ccfDeORkZF8kxIAAHCLt/Q2vr6+ateunWE8NTVVq1atcil3dk6ePGn6hTJVq1ZVhQoVPFYPAADcmmbNmqXMzEzDeKFChVS+fHmXctM/AQBw8zl79qz69Omjc+fOma576KGH9NJLL+XQruzj+pNr6J8AwHkMrgAA4IaWLVsqPDzcMP7NN98oLi7OI7V++OEHnTlzxjDerFkzRUZGeqQWAACAVdLS0vTBBx+YrrnjjjsUFhbmUv727dvLz8/PMD5v3jzT48edsWDBAqWmphrG77vvPvn7+3ukFgAAuDV5U2/TsWNH0/isWbNczp1dLpvNZhi///77PVYLAADcmuLj4zV79mzTNa1atXKrBv0TAAA3j/Pnz6tPnz6m9/VIUpcuXTR69Oic2ZSDuP7kGvonAHAegysAALghMDBQDz74oGE8LS1N77//vtt10tPTNXnyZNM1jzzyiNt1AAAArDZhwgS7F+3duZBbtGhR3XvvvYbxuLg4j1yUTkxM1CeffGIY9/HxoT8DAABu86beJjo6WjVr1jSM79+/XytXrnSrhvTXt11+9dVXhvGgoCB16dLF7ToAAODWZbPZNHr0aKWkpJius3fjpD30TwAA3BwuXryofv366dSpU6brOnbsqDfeeEM+Pj45tDPHcP3JefRPAOAaBlcAAHBTnz59FBAQYBhftGiRtm3b5laNTz75RMePHzeMV65cWS1atHCrBgAAuHVlZWXlSJ2FCxdq5syZpmtuu+02tW/f3q06jz32mGn8ww8/1MmTJ92q8c477yghIcEw3rJlS47/BgAAHuFNvY291/L222/r0qVLLue32Wx67bXXlJ6ebrima9euKliwoMs1AABA3pVT17gmTZqk77//3nRNdHS06tev73Yt+icAAPK2hIQE9evXT0ePHjVdd99992ncuHHy9c2bt+xy/clx9E8A4Lq8+VMQAICbSLFixfTQQw8ZxjMzM/Xss8/q/PnzLuWPiYnRtGnTTNcMHTrUpdwAAACSNGjQIM2bN8/0Aqu7Pv/8c7322mt21z3xxBOmQ8GOiI6O1l133WUYT01N1dNPP63k5GSX8i9dulSLFi0yjPv6+mrw4MEu5QYAAPgvb+pt2rRpo6pVqxrGz58/r+HDhysjI8Ol/NOmTdOGDRsM48HBwRowYIBLuQEAQN7XvXt3ffvtt5YNsGRmZmrChAn66KOP7K711L/d0T8BAJB3JScn67HHHtPBgwdN17Vq1Urvvfee/Pz8cmhnzuP6k+PonwDAdQyuAADgAUOGDDGdlP/jjz/Ur18/nTlzxqm8GzZs0JNPPmn6y1KTJk1Mj+wEAACw588//9To0aN19913a/r06bp48aLHcl+6dEnDhg3T66+/bvcCcHR0tLp37+6Ruv/3f/+nwMBAw/i+ffs0cOBAp79RadmyZXrppZdM13Tt2lU1atRwKi8AAIAZb+ltfH199fLLL5uuWbdunZ599lldvXrVqdwff/yxpkyZYrpm4MCBuu2225zKCwAAbh4nTpzQM888o/vuu09ffPGFLl++7LHcf/zxh/r27auPP/7Y7to2bdqoefPmHqlL/wQAQN6UmpqqAQMGaM+ePabrWrZsqYkTJ8rf3z+HduY6rj/ZR/8EAO7xsdlsttzeBAAA3mDlypV69tlnTddEREToxRdf1AMPPGB6/GdycrI++ugjzZgxw/RboUJCQrR06VKVKVPG5X0DAAB06tR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      "text/plain": [
       "
" ] }, "metadata": { "image/png": { "height": 1223, "width": 1623 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "\n", "ax.plot(t_plot, weibull_pp_surv_mean[0], label=\"Not metastized\")\n", "ax.plot(t_plot, weibull_pp_surv_mean[1], label=\"Metastized\")\n", "\n", "ax.set(\n", " xlabel=\"Weeks since mastectomy\",\n", " ylabel=\"Survival probability\",\n", " title=\"Weibull survival regression model\",\n", " xlim=(0, 230),\n", " ylim=(0, 1),\n", ")\n", "ax.legend()\n", "ax.yaxis.set_major_formatter(pct_formatter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Log-logistic survival regression\n", "\n", "Other accelerated failure time models can be specified in a modular way by changing the prior distribution on $\\varepsilon$. A log-logistic model corresponds to a [logistic](https://en.wikipedia.org/wiki/Logistic_distribution) prior on $\\varepsilon$. Most of the model specification is the same as for the Weibull model above." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as log_logistic_model:\n", " predictors = pm.Data(\"predictors\", X)\n", " censored = pm.Data(\"censored\", df.event.values == 0.0)\n", " y_obs = pm.Data(\"y_obs\", y_std[df.event.values == 1.0])\n", " y_cens = pm.Data(\"y_cens\", y_std[df.event.values == 0.0])\n", "\n", " beta = pm.Normal(\"beta\", 0.0, 5.0, shape=2)\n", " eta = beta.dot(predictors.T)\n", "\n", " s = pm.HalfNormal(\"s\", 5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the prior $\\varepsilon \\sim \\textrm{Logistic}(0, s)$. The survival function of the logistic distribution is\n", "\n", "$$P(Y \\geq y) = 1 - \\frac{1}{1 + \\exp\\left(-\\left(\\frac{y - \\mu}{s}\\right)\\right)},$$\n", "\n", "so we get the likelihood" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def logistic_sf(y, mu, s):\n", " return 1.0 - pm.math.sigmoid((y - mu) / s)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "with log_logistic_model:\n", " events = pm.Logistic(\"events\", eta[~censored], s, observed=y_obs)\n", " censored_like = pm.Potential(\"censored_like\", logistic_sf(y_cens, eta[censored], s))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now sample from the log-logistic model." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta, s]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "eab3911b34734f5fb002ff96f9757431", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 11 seconds.\n"
     ]
    }
   ],
   "source": [
    "with log_logistic_model:\n",
    "    log_logistic_trace = pm.sample(**SAMPLE_KWARGS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All of the sampling diagnostics look good for this model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jjz0WF1100QbH2rdvHy+99FKOKyoOJ598crzyyispx5s2bRq33nprjV5mnjVrVgwZMiS++OKLlHM233zzeO655zb40huQHyeeeGLKhijt27ePfv36xSGHHBK77rprlJWVbfS6s2bNijvvvDP+9Kc/RbqvO2y++ebx5JNPxmabbVaj2vNJPoXCtXTp0jjkkENiwYIFKed06tQp7rzzzhr9d/rKK6/E8OHDY8WKFSnn/PjHP4677rqrRvXmm1wI/G/yYc3JhkAqzi5rTj4F8qkUnq3LplC8avM92AYNGsTmm28ec+fOTTknH9+DnTVrVhxxxBGJFzvtueeeMXbs2Br97j9hwoS4+OKLEy/vPuaYY2LUqFE1qjff1q5dG0cddVR8+umnKedsscUWcdddd8XOO++80et++OGHMXTo0MSz8i5dusSECROiYcOGNaoZAAAAsuH/tkcEgCK0sR2Cf/vb38bEiRPjnHPOiQMOOCB23nnn2G677f7ZHfiqq66KSZMmxZAhQzbYRfhfXXrppTFr1qxM/jUAAIrexnZ7HTZsWPzlL3+J3/zmN9G/f//o1q1bbLfddv/s9HruuefGiy++GL/5zW+iVatWies9+OCDLvIEyLGFCxfGyy+/nDhn0KBBOaoGgEIxceLExBfUGjZsGLfddluNXlCLiNh2223j3nvvjbZt26acM3/+/BgzZkyN1gVyq7y8PA466KAYN25cvPjii3H22WdH165da3RxQsQ/PhNGjRoVd911V7Rp0yZx7vz58wv+pTSgeIwZMybxZaGtt946xo0bV+MXSfv06RNjx46N8vLylHMmT54cL774Yo3WzSe5ENgY8iEAuSKfAvnk2TpQ6MrKymK77baLfv36xYUXXhj3339/vPXWW3Hdddflu7T/45prrkm8WGuXXXaJO+64o8aXag8YMCB+85vfJM555JFH4uOPP67Ruvn2wAMPJF6s1bx587jnnntqdLFWRETXrl3jnnvuiWbNmqWcM3369PjjH/9Yo3UBAAAgW1yuBUDRW7p0aVx55ZWJczp16hTjx4+PQYMGpb00q3nz5nHeeefFnXfeGU2bNk05b9myZXHFFVfUquZC9OKLL8Ynn3ySlf+57AKA+qRBgwax5ZZb5ruMvLniiiti2bJlKcebNm0ad999d5xzzjlpO7M2aNAgjj766Bg/fnxsv/32iXOvvPLKxH0ByKwnnngi1qxZk3J82223jZ49e+awIgAKwU033ZQ4PmLEiNhnn31qtfZWW20V1113XeL57h//+MeYN29erdYHsqeioiKOOeaYeO655+KWW26JXr161fjChA3p06dPPPDAA2lfkHj88cdj5syZdd4PqN/mzp2b+CJQeXl5jB49OvGl+iQ/+tGP4owzzkicc/PNN9dq7XyQC4Ek8iEAuSafAvnk2TpQaNq3bx+HHHJInHPOOTFu3Lh444034vnnn4/Ro0fHSSedFHvvvXfipUn58sEHH8TEiRNTjjdt2jRuuummtN9LTWXgwIExePDglOPr1q0rqjPa1atXx+23354458orr4wdd9yxVuvvtNNOcfnllyfOuf322xMvQwMAAIBccbkWAEVPh2AAIF+KqWNXLuj2ClB/PPbYY4njAwcOzMgLcQAUj0mTJsX06dNTju+4445x8skn12mPHj16xFFHHZVyvLKyMu6777467QFkTnl5eQwcODCef/75GDVqVGy77bYZ36Njx45x++23R8OGDVPOqaqqiocffjjjewP1y7333pv4IuzgwYNjzz33rNMeQ4cOjY4dO6YcnzZtWkyePLlOe+SCXAikIh8CkA/yKZBvnq0D+bbFFlvEmWeeGXfccUe89tpr8dJLL8XNN98cw4YNi169ekXLli3zXeJGueuuuxLHTz311Nhuu+3qtMf5558fm266acrxl19+OWbMmFGnPXJl/Pjxie9Z9enTJw4//PA67XHkkUcmXhA5f/78mDBhQp32AAAAgExwuRYARU2HYAAgl4q1Y1eu6PYKUD+89957iS8hNGjQIAYOHJjDigAoBA888EDi+FlnnZXYyGBjnXXWWdGoUaOU43/605+isrKyzvsAdTd69Oi4+uqrY+utt87qPrvvvnscc8wxiXOeeuqprNYAlLbKysp45JFHUo5XVFTE8OHD67xPo0aNYsSIEYlz0mWuQiAXAqnIhwDkg3wK5JNn60Ah6NSpU5x++umx7777RuvWrfNdTq3Mmzcvnn/++ZTjm2++eZxwwgl13qdVq1YxdOjQlOPV1dWJ7y8VknQ5+JxzzsnIPueee26d6gAAAIBccLkWAEVNh2AAIJtKpWNXLuj2ClB/PProo4njvXv3jq222ipH1QBQCBYuXBhTpkxJOd6hQ4c44IADMrJX27ZtEzvoLlq0yHktFIikzt6ZdsYZZyS+wDp37tyi6SQOFJ6//vWvsXjx4pTj/fr1iy222CIjex188MHRvn37lOOvvPJKfP/99xnZKxvkQiCJfAhArsmnQL55tg6QGU899VRUVVWlHP/5z38em2yySUb2OuaYY6Jp06Ypx59++ulYu3ZtRvbKlo8//jg+++yzlOM9e/aMXXfdNSN7de/ePfbaa6+U49OnT49p06ZlZC8AAACoLZdrAVC0dAgGALKtFDp25YpurwD1w6pVq+Lpp59OnDNo0KAcVQNAoXjmmWcSv0B81FFHRYMGmXssOWDAgMTxJ598MmN7AcWhdevWaZutfPjhhzmqBig1f/7znxPHM/l7cHl5eRx55JEpx9esWRPPPvtsxvbLNLkQKBTyIQAR8imQX56tA2ROUo4qKyuLgQMHZmyvFi1axEEHHZRyfOHChfHqq69mbL9sSHemncmfV4QcDAAAQOFzuRYARUuHYACAwqDbK0D98dxzz8XSpUtTjm+66abRt2/fHFYEQCH461//mjielOFro2fPnolnv1OmTIl169ZldE+g8PXu3Ttx/KuvvspRJUApqaqqSjz73HLLLdNe3lJTRxxxROJ4uuyVT3IhUEjkQwDkUyCfPFsHyIyFCxfGBx98kHJ8jz32iHbt2mV0z2I+o41Irq+ioiIOPPDAjO538MEHJzbNLfSfFwAAAKXP5VoAFC0dggEACoNurwD1x/jx4xPH+/fvHxUVFTmqBoBCsHbt2njzzTdTjrdv3z46duyY0T0bNGgQvXr1Sjm+ePHixC9YA6Wpbdu2ieOLFi3KTSFASXn//fcTX4Tt06dPlJWVZXTPzp07x9Zbb51y/I033kg8j80XuRAoNPIhQP0mnwL55tk6QGa89tprUV1dnXK8T58+Gd+zR48eiZ/Rr776asb3zJR58+bFp59+mnJ8jz32iObNm2d0z5YtW0b37t1Tjk+fPj3mz5+f0T0BAACgJlyuBUBR0iEYAKBw6PYKUD/MmjUr3njjjcQ5gwcPzlE1ABSKDz74IJYvX55yPOllsrr40Y9+lDj++uuvZ2VfoHC1adMmcXzlypU5qgQoJel+D95nn32ysm9Shlq2bFl8+OGHWdm3LuRCoNDIhwD1m3wK5JNn6wCZM3Xq1MTxbJzRNmnSJPbYY4+U4zNmzCjYy6LS/fuTjxxcXV2dti4AAADIJpdrAVCUdAgGACgMur0C1B+PPfZYYifIbt26xU477ZTDigAoBOkudkjqUFsX6db96KOPsrIvULhWr16dOL7JJpvkqBKglKQ7Z8xW1tltt90Sxwvxci25ECg08iFA/SafAvnk2TpA5iTluvLy8ujatWtW9k2X6wrxjDbCmTYAAABsiMu1AChKOgQDABQG3V4B6od169bF448/njhHZ12A+indmeiuu+6alX07duwYTZs2TTn+8ccfZ2VfoHB9++23ieMtW7bMUSVAKUl68b1Zs2ax/fbbZ2Xfbt26JY4XYtaRC4FCIx8C1G/yKZAvnq0DZM7atWtj+vTpKcc7deoUTZo0ycre6S7tKtRcl+4y12zl4GI80wYAAKD+cLkWAEVJNwUAgMKg2ytA/fDqq6/GnDlzUo43btw4+vXrl8OKACgUSV9mjvjHF5qzoUGDBomXWXz55ZexcuXKrOwNFKZ0z446dOiQo0qAUrFixYqYPXt2yvHtt98+ysrKsrJ3ugz1ySefZGXfupALgUIjHwLUb/IpkC+erQNkzhdffBGVlZUpx7OV6TZm7UI8o41IzsGbbrpptG7dOiv7tmnTJlq1apVyvFB/XgAAANQPDfNdAADUhg7BAACFId/dXlesWLHBcbkMILPGjx+fOH7wwQdHixYtclRNbq1cuTImTZoU77zzTkybNi1mzZoVc+fO/eeLD5tsskk0a9Ysttpqq9h6661jl112ia5du8Zee+2Vte6YQGGYP39+vPbaa/H+++/H9OnTY/bs2bFw4cJYtWpVlJeXR+PGjaNly5ax9dZbxzbbbBO77rprdO/ePbp37x4NGpRO/5tZs2alHNt8882jWbNmWdu7Q4cOKc+Kq6ur4+uvv47OnTtnbX+gcKxbty7++te/Js7Zeeedc1RNdsmnkDuzZ8+O6urqlOPbbbdd1vZu3rx5tG7dOhYuXLjB8aQMli9yIVBI6ks+lA2BVJxdyqdA/tTXZ+uyKZAN6c5Bs3lxdrrz30I8o12+fHnKM+WI7J5pR/zj/4/3339/g2Pz58+PFStWRNOmTbNaAwAAAGyIy7UAKDo6BAMAFI58d3tN9YXU9d1effkKoO4WLVoUEydOTJwzaNCgHFWTe/37949169alHF+zZk0sW7Ysvvvuu3j33Xfj2WefjYh/fDl4n332iYEDB0bfvn2jUaNGuSoZyIE5c+ZE7969U45XVVVFZWVlLFmyJGbPnh1vvvlmTJgwISL+0Q12//33j5/+9Kfxwx/+MFclZ8WyZcti0aJFKce32WabrO6fbv3Zs2d7SQ3qicmTJ8f8+fNTjrds2bIkLk+IkE8hl5KeSUfkJuukehFq4cKFBfUiklwIFJr6kg9lQ2BDnF3Kp0D+1Odn67IpkA35PKNt0qRJtGnTJhYsWLDB8XS15UMhnGmnulwrIuLrr7+OHXfcMas1AAAAwIa4XAuAoqNDcHboGAQA1IZurwCl789//nNUVlamHN92222jZ8+eOawot5K+AJxk9erVMWnSpJg0aVK0bds2TjvttBg8eHA0bOhYHkpB0vlkOosWLYoJEybEhAkTolu3bnH22WcnvuxWyObMmZM4vvnmm2d1/3Trf/3111ndHygc99xzT+L4gQceGA0aNMhRNdkln0Lu5DvrtGnTJnF8zpw5BXP+me+flVwI/G/1JR/KhsCGOLuUT4H8qc/P1mVTIBvyneuSLtf6/vvvC64BbL5/XunWnzNnjsu1AAAAyIvi/3YAAPVOIXRTSGV9h+Bi1L9//xg2bFjcdttt8fLLL8dnn30WS5YsiTVr1mywW9ANN9wQQ4YMiZ49e8awYcPi2WefjTVr1uT7rwEA5FAxdHsFoO7Gjx+fOD5w4MAoKyvLUTXF6bvvvovLL788Bg4cGNOmTct3OUAB+eCDD+JXv/pVnHnmmSkv9C9k33//feJ4tr+cu8UWWySOp6sPKA2TJ0+O1157LXHOUUcdlZtiioR8ChsnXZZIl0Xqasstt0wcL6SsIxcChUQ+rBnZEEilmM8u5VMgXzxbrxvZFPjfnNHWjBwMAAAAG+ZyLQCKTr67KWxMh+BiVNeOQSNGjIi+ffvGQw89FGvXrs1wdQBAIcp3LtPtFSD7Pvroo/j4449Tjjdo0CAGDhyYw4qK2yeffBKDBw+ORx55JN+lAAXmueeei/79+8d7772X71JqJOmy3YiIli1bZnX/Fi1aJI6nqw8ofqtXr46rrroqcc7uu+8ePXv2zFFFxUU+hWTpskS6LFJXxZR15EKgUMiHtScbAqkU49mlfArkg2frmSObAus5o60ZORgAAAA2zOVaABQd3ScKl45BAFC/6HIFUPrSddbt3bt3bLXVVjmqpjSsWbMmLrnkkrj55pvzXQpQYObNmxfHHXdcTJo0Kd+lbLQlS5Ykjjdv3jyr+6dbf/HixVndH8i/66+/PmbOnJk456yzzspNMUVKPoXU0mWJfGedQnoRSS4ECoV8WDeyIZBKsZ1dyqdAPni2nlmyKRBR+Ge0hZbrCv3nVUhn2gAAANQvDfNdAADUlO4ThW99x6DLL788jj766HyXAwBkiS5XAKWtsrIynnzyycQ5gwcPzlE1uVdWVhadO3eOnXbaKbp06RKdOnWKVq1aRfPmzaNZs2axfPnyWLRoUSxatCg++uijeOutt+KDDz6INWvWbNT6Y8eOjSZNmsTQoUOz/DcBMq1Ro0ax6667RpcuXaJLly7RoUOHaN68ebRo0SI22WSTWLJkSSxatCgWLFgQf//73+PNN9+MGTNmbNTaq1atiuHDh8ddd90VPXr0yPLfpO6WL1+eON60adOs7t+sWbPE8ZUrV2Z1fyC/Jk2aFPfee2/inEMOOSR+9KMf5aii7JJPIfdWrFiROJ7trJNu/ULKOnIhUAjqUz6UDYFUnF3+g3wK5Fp9frYumwLZVOhntOnqy7VC/3nJwQAAAOSLy7UAKDq6KRSH9R2DvvnmmzjzzDPzXQ4AkAW6vQKUtokTJyb+jrvZZpvFAQcckLuCcqBRo0bxk5/8JPbbb7/Yb7/9Ysstt9yoP3f44YdHRMSyZcvi4YcfjnHjxsXcuXPT/rnRo0dHly5dYt99961T3UD2bbrppnHAAQfE/vvvH7179077ctR6AwYMiIiI2bNnx7hx4+LRRx9N+4XR1atXx5lnnhmPP/54wXcwX7t2beJ4w4bZfRTZqFGjxPGNfTEDKD6zZ8+O888/P6qrq1PO2XTTTePiiy/OYVWZJ59Cfsk6G8/PCsi3+pAPZUMgFWeX/5d8CuRafXu2LpsCuZIu16XLXXVVbLlODgYAAIANc7kWAEVHN4XM0jEIAKgt3V4BStv48eMTx/v37x8VFRU5qia72rVrF8ccc0wcffTR0aZNm1qv07x58zj55JPjuOOOizvuuCPGjh0b69atSzm/uro6zj///HjmmWeidevWtd4XyJ7ddtstfvnLX8bhhx8em2yySa3X2WabbeKSSy6J0047LS677LJ44YUXEud///33cd5558Uf/vCHWu+ZC+nOCLP95dzy8vLE8XRfHgaK07Jly+LUU09N2+zk8ssvj7Zt2+amqAyTT6Ew5DvrpFu/kLJOvn9WciHUb6WeD2VDIBVnl6nJp0Cu1Zdn67IpkGvpcl263FVXxXRGG5H/HFxsPy8AAADqD5drAVB0dFOoOx2DAIBMkMsAStc333wTr776auKcQYMG5aia7Npqq61i4sSJGf3CXUVFRZxxxhmx5557xtlnnx0LFy5MOXfRokUxevTouOqqqzK2P5AZ/fr1i4EDB2Z0zdatW8ctt9wS48aNi2uvvTYxU7/xxhvxxBNPxJFHHpnRGjKpqqoqcTzbX2ZOt77fCaD0VFVVxTnnnBPTp09PnHf00Uf/85lGsZFPoXCkO/+Udf6HXAjkS6nnQ9kQSMXZZTL5FMil+vJsXTYF8iHf31EttktT5WAAAADYMJdrAVB0dFOoPR2DAIBMyncuK7YvLgDZ9/zzz8fzzz+f7zLqrE+fPnHUUUfltYbHHnss8fe83XbbLXbaaaccVpQ92fz3qlevXnHnnXfGscceGytXrkw577HHHothw4bFdtttl7VaoCZ8nv5DNjuIn3jiiVFRURFXXHFF4rybb745+vXrl/UvudZWurrSfXm3rtKtn+3fSSAdn6eZN2rUqPjLX/6SOKdr165x2WWX5aagLJBPoXCk++8x6ffmTCimrCMXAvlS6vlQNgRScXaZTD4Fcqm+PFuXTYF8SPfZU1VVldU8mu/LqmoqXT3OtAEAAKiv/EYKQNHRIbh2dAwCADIt318cKNZcBmTPJ598En/+85/zXUadtWzZMq+XF1RXV8eECRMS55RCZ91c6datW1x77bUxfPjwqK6u3uCcdevWxbhx4+Lyyy/PcXWwYT5Pc+MXv/hFzJw5M+67776Uc2bPnh3PP/98HHbYYTmsbOM1atQocTzfL6mlqw+yzedpZt18883x0EMPJc5p27Zt3HLLLVl9ybjYyaew8dJliWxf7p9u/ULKOnIhkA/yYd3JhkAqxX52KZ8CueLZeubIpsCGbEyuy+b3VIvpjDbCmTYAAACk0iDfBQBATekQXDsNGzbM2oOD9R2DmjRpkjjvscceiy+//DIrNQAAuafbK0Bpmjp1asyaNSvleOPGjaNfv345rKj4HXTQQXHooYcmznn66aez/iU2oPCcd9550a5du8Q5TzzxRI6qqbl0mTvbF96mW9+Xc6F0jBs3LsaOHZs4Z9NNN43f//73aT9XkU9hY+U76xTTi0j5/lnJhVD/yIeZIxsCqRTz2aV8CuSKZ+uZJZsC/1u6XFdZWZnV/YvpjDYi/zm42H5eAAAA1B8u1wKg6OimUJjWdwwqKytLOWd9xyAAoDTo9gpQmsaPH584fvDBB0eLFi1yVE3pGDFiROLFlIsWLYqpU6fmsCKgEFRUVMRpp52WOGfKlCmxfPnyHFVUM82aNUscX7FiRVb3T/dzSdcMACgOjzzySFxzzTWJc5o1axZ33nlndO7cOUdVFT/5FNJr2rRp4ris8z/kQiCX5MPMkw2BDSnms0v5FMgVz9YzTzYF/lWhn9Gmqy/XCv3nJQcDAACQLy7XAqDo6KZQuHQMAoD6Jd+5TLdXgMxbunRpPP/884lzBg8enKNqSkvHjh3jgAMOSJzz5ptv5qgaoJAMHDgwWrdunXK8srIy3nvvvRxWtPFatmyZOJ7tF+vSrd+qVaus7g9k35NPPhmXXXZZVFdXp5zTpEmTuP3226N79+45rKz4yaeQXroske+ss+mmm2Z1/5qQC4FckQ+zQzYEUinWs0v5FMgFz9azQzYF/lWhn9EWWq4r9J9XIZ1pAwAAUL+4XAuAoqObQmHTMQgA6g/dXgFKz5NPPhmrVq1KOd6hQ4fo0aNHDisqLX369EkcL8QXUIDsKy8vj169eiXOeffdd3NUTc2k+3Lu4sWLs7r/0qVLE8d9OReK28SJE+OCCy6IdevWpZxTUVERt9xyS+y99945rKx0yKeQLF3WWbJkSVb3T7d+Ib24JRcCuSAfZpdsCGxIsZ5dyqdALni2nj2yKbCeM9qaKfQcXGg/LwAAAOoPl2sBUHR0UyhsOgYBQP2h2ytA6Rk/fnzi+MCBA6OsrCxH1ZSedF8C/uKLL3JTCFBw0n0+fPnllzmqpGZat26dOD5//vys7j9v3rzE8c022yyr+wPZM2nSpDjrrLNi7dq1Kec0atQobrzxxrSfoaQmn0KydFknXRapq2LKOnIhkG3yYfbJhkAqxXh2KZ8CueDZevbIpsB6zmhrJt85eO7cuYnjhfbzAgAAoP5omO8CAKCmdJ8ofH369IkXXngh5biOQQBQGgq9y1V9v/QU6qPhw4fH8OHD811G0fr000/j/fffTzneoEGDGDBgQA4rKj3bbLNNNGnSJFauXLnB8W+//TaqqqqivLw8x5XB/8/nae517tw5cXz27Nk5qqRm2rVrlzie75fU2rdvn9X9IR2fp7Xz2muvxfDhw2PNmjUp55SXl8e1114bffv2zWFlpUc+hWRbb7114ni2s0669Qsp68iFQDbJh7khGwKpFOPZpXwKZJtn69klmwLrFfIZ7WabbRZNmzbN6v41Vcg/rwg5GAAAgPxpkO8CAKCmdJ8ofDoGAUD9kO8uV3IZQGY9+uijieN9+vSJrbbaKkfVlK6kfz+rqqpi+fLlOawGKBRt2rRJHM92Q4Haat68eeKltl9//XVW90/34t4222yT1f2BzHvzzTfj1FNPjdWrV6ec06BBg7j66qvjsMMOy2FlpUs+hdTSZYl8Zp3WrVsX1ItbciGQLfJhbsmGwIYU49mlfApkm2fr2SebAhH5PaNduXJlLFiwIOV4IWa6Qj7TjnC5FgAAAPnjci0Aio5uCoVvfcegVNZ3DAIAipturwClY82aNfHf//3fiXMGDRqUo2pKW7rLKVN13wVKW7rPhlWrVuWokppL+oLuvHnzYsWKFVnbe9asWSnHysrK/E4AReadd96JYcOGJeahsrKyGDVqVBx55JE5rKy0yaeQWroXkb788sus7b1s2bJYuHBhyvFie3FLLgRqQz7MPdkQ2JBiPbuUT4Fs8Ww9N2RTICJi2223TRzP5hntV199lTheiGe0zZs3T2xKm82fV0RyDm7Tpk1BNYwAAACgfnG5FgBFp5C7KRRah+B80jEIAEqfbq8ApePll19OfGl3s802iwMOOCCHFZWu6urqfJcAFKBi/mzo0qVL4viMGTOysu+6deti5syZKcc7dOiQ2AAAKCzvvfdeDB06NO2LrZdcckkcffTROaqqfijmf4Mg25o1a5Z4xjhz5sys/Tf0+eefJ47vtNNOWdm3LuRCIJPkw/yQDYENKdbPBvkUyBbP1nOjWP/9ATJr++23j4qKipTj6c5R6yJdXizEM9qI5Bz8/fffJ/4bVhcLFiyIRYsWpRwv1J8XAAAA9YPLtQAoOjoEFwcdgwCgftDtFaA0jB8/PnG8f//+iV9WY+N9//33ieNeqID6Kd0XWBs3bpyjSmqua9euieMfffRRVvadOXNm4u8bu+yyS1b2BTLvo48+iiFDhsTSpUsT511wwQVx7LHH5qiq+kM+hWRJWWf58uXxxRdfZGXfDz74IHG8ELOOXAhkinyYP7IhsCHFenYpnwLZ4tl6bsimQEREo0aNYscdd0w5/vnnn8eqVauysveHH36YOL7rrrtmZd+6ylcOLsYzbQAAAOoPl2sBUHR0CC4OOgYBQP2g2ytA8Zs7d25Mnjw5cc7gwYNzVE3pS/oScHl5eTRr1iyH1QCFIt0LAi1btsxRJTWX7su57733Xlb2TbduurqAwvDJJ5/ESSedFIsXL06cd9ZZZ8WvfvWrHFVVv8inkCxfWef9999PHC/ErCMXApkgH+aXbAhsSLGeXcqnQDZ4tp47simwXrdu3VKOVVVVpb3UqbbS5bpivVzLmTYAAAD1kcu1AChKOgQXPh2DAKB+0O0VoPg9/vjjUVVVlXJ8t912S3uZIhtn9uzZif9+tW3bNsrLy3NYEVAoPv3008Txdu3a5aiSmuvWrVs0bdo05fjrr7+elX1fe+21xPGePXtmZV8gc2bMmBEnnXRSLFq0KHHeaaedFqeeempuiqpn5FNIr0ePHonj+cg6zZo1S3yhLF/kQqCu5MP8kg2BVIr17FI+BbLBs/XckE2Bf5WPM9pVq1bF3//+95TjnTp1ii222CLj+2ZCIZ5pR8jBAAAA5JfLtQAoSropFD4dgwCgftDtFaD4jR8/PnFcZ93MmTJlSuJ4hw4dclQJUGiK+fOhUaNGsffee6ccnz17dsycOTOje65bty5effXVlOMtW7YsyAsngP8xc+bMOOGEE2LBggWJ84YMGRIjRozIUVX1TzH/+wO50r1792jevHnK8SlTpkR1dXVG9/zss8/im2++STneo0ePaNiwYUb3zAS5EKgL+TD/ZEMglWL9fJBPgWzwbD03ivXfHiA7evXqFWVlZSnHX3nllYzvOXXq1KisrEw53rt374zvmSlbbrlldO7cOeX4O++8E8uWLcvonkuWLIl333035XiXLl1i8803z+ieAAAAUBMu1wKgKBViN4VC7RCcDzoGAUD9odsrQHF766234osvvkg53rhx4+jXr1/uCipxkydPThzv3r17jioBCklVVVXiC1cRhf/5sO+++yaOP/300xndb+rUqTFv3ryU471793b+CAVs1qxZceKJJyb+dxwRcfzxx8d5552Xo6rqJ/kU0isvL098Ueq7776Lt99+O6N7PvXUU4njP/nJTzK6XybJhUBtyIeFQTYENqTYzy7lUyCTPFvPHdkU+Fdt2rRJbLb697//PebMmZPRPdOd0f74xz/O6H6ZlnSGXFlZGRMnTszofs8//3ysWbOmVvUAAABALrhcC4CipENwYdMxCADqD91eAYpbus66hxxySOLv32y8mTNnxksvvZQ4Z6+99spRNUAhmTBhQixcuDDleMOGDWOPPfbIXUG1cOihhya+FPb444/HunXrMrbfhAkTEse9vAKFa86cOXHCCSfEt99+mzjvZz/7WVx88cU5qqp+kk9h46XLFul+t66JqqqqeOKJJ1KON2zYMA499NCM7ZdpciFQU/JhYZANgVSK/exSPgUyybP13JBNgQ1JylHV1dXx2GOPZWyvpUuXxgsvvJByvHXr1okNGQpButyZyZ9XRPoc/G//9m8Z3Q8AAABqyuVaABQlHYILm45BAFC/6PYKUJyWL18ezz77bOKcQYMG5aia0jdmzJioqqpKOd68efPo1atXDisCCkFlZWXceuutiXP22WefaNGiRY4qqp02bdokntd+9dVXaV+E2Fjfffdd4u8YrVq1clYLBeq7776LE044Ib7++uvEeQMHDoyRI0fmpqh6TD6FjbfffvtFy5YtU44/+eSTMX/+/Izs9fzzzyd+Tvbp0ydat26dkb2yQS4EakI+LByyIbAhpXB2KZ8CmeLZeu7IpsCGHHHEEYnfCX3wwQejsrIyI3s9/PDDsWLFipTjhx12WDRs2DAje2VL165dY4cddkg5PnXq1Pj4448zstd7770Xb731VsrxHXfcMXbeeeeM7AUAAAC15XItAIqWDsGFSccgAKh/dHsFKE5PP/104pfBOnToED169MhhRaXrxRdfTHvZ5CGHHBIVFRU5qggoFNdff33al4iLpYvrsccemzh+4403Jr4MsbFuuummWLNmTcrxn/70pz5PoQAtWLAgTjrppPjqq68S5/Xv3z+uuuqqKCsry1Fl9ZN8CjVTUVERRx99dMrxysrKuPnmm+u8z5o1a+Kmm25KnPPLX/6yzvtkm1wIbAz5sHDIhkAqpXJ2KZ8CmeDZem7IpkAqW265ZRx00EEpx+fPnx/jxo2r8z6LFy+OO++8M+V4WVlZUZzRRqQ/Sx49enRG9km3TrH8vAAAAChtLtcCoGjpEFyYdAwCgPpHt1eA4pTuUuqBAwfm/aW1Cy+8MHbaaaeU/7vwwgtrvXYmL35M8tFHH8W5554b1dXVKeeUlZXFSSedlJN6gPRy9fnwpz/9Ke65557EOVtttVUcccQRdd4rm5+n6/3kJz+JLl26pBz/9NNP4+67767THm+++WbiZbuNGjWK448/vk57AJm3aNGiOOmkk2LGjBmJ8w477LC45pprokGDwv0ag3wK9dcJJ5wQjRo1Sjn+6KOPxt/+9rc67XHnnXfGzJkzU4536dKlzmefciFQCEolH8qGQD6U2tmlfAoUi0J/ti6bAvXBySefnDh+2223xZdfflmnPX73u9/FokWLUo7vt99+scMOO9Rpj4iI4447LvFze8yYMXXeY9CgQbHZZpulHJ88eXLaCw3TeeKJJ+L1119POd66desYOHBgnfYAAACATCjMbx0AwEbQIbjw6BgEAPWXbq8AxeXzzz+Pd955J+V4eXl5yX+56YYbbojf/e538f3332dtj6lTp8aQIUMSuxhHRBx++OGx4447Zq0OoGZOOeWUePDBBxNzZ1394Q9/iCuuuCLtvFNPPTXxEodCUlZWFsOHD0+cc9NNN8XUqVNrtf53330X5557buJLHD/72c9iyy23rNX6QHYsW7YsTj755Pjkk08S5x144IFx3XXXRXl5eY4qKzzyKRS2tm3bxs9+9rOU41VVVXH22WfHd999V6v1X3vttRg7dmzinDPPPLNWa+eaXAgkkQ83jmwIpOLssubkU6Cu6vuzddkUKBTdu3eP/fffP+X4ihUr4qyzzoply5bVav0JEybEo48+mnK8QYMGccYZZ9Rq7Xxo3LhxnHLKKYlzLr300vjss89qtf4nn3yS9veGU045JTbZZJNarQ8AAACZ5HItAIqaDsHp6RgEAOj2CsD/lq6zbu/evaNt27Y5qiY/Vq1aFXfffXfsv//+MWrUqFp/WWxD1qxZE7fddlucdNJJsWDBgsS5zZs3jwsuuCBjewN1N3fu3Bg5cmQccMABcccdd6T977gmvv/++xgxYkT85je/ibVr1ybO7d69e/z0pz/N2N65cPDBB0evXr1Sjq9duzb+/d//PV577bUarTtr1qw44YQT4ttvv005p3Xr1kVz4QTUFytWrIihQ4fGBx98kDhvv/32ixtuuCEaNmyYo8oKk3wKhW/48OGx2WabpRz/5ptv4qSTToqvv/66RutOmTIlTjvttMR8+KMf/SgOOuigGq2bT3IhsCHy4caTDYFUnF3WjnwK1EV9f7YumwKF5D/+4z8Sm69+9NFHMWzYsBpfCPj444/HxRdfnDhn0KBB0a1btxqtm2/HHntsdOrUKeX4smXL4sQTT4xp06bVaN2PPvoofvWrX8Xy5ctTztlhhx3SNu0FAACAXKm/3z4AoCSs7xD8hz/8YYPj6zsEP/zww7V6cFkKHYJvuOGGqKqqiqFDhyZ+2bsupk6dGr/+9a91DAKAemx9t9ekjq833XRT7L777tGzZ88ar6/bK0DmVFVVxRNPPJE4Z/DgwTmqJv9WrlwZDzzwQDzwwAPRvXv3OPjgg2O//faLzp07R1lZWY3WWrZsWTz66KNxzz33JL5I8a+uvvrqkv6yNRSzuXPnxujRo+Omm26KH//4x9G3b9/4yU9+Uqv/ZufMmRPjxo2LRx55JO0ZWkREq1atYvTo0dGgQfH1yRk5cmQMGDAg5d9zxYoVcfLJJ8eQIUPilFNOiWbNmqVca926dTF+/Pi49tprY/HixYn7XnrppdGyZcs61Q5kTmVlZZx22mlpG6DssssuccEFF8TcuXOzXlPDhg1jq622yvo+dSWfQuFq1apVXHrppXH22WennDNjxowYOHBgXHDBBXHUUUcl5rlly5bFf/3Xf8Xdd9+deO7ZrFmzGDlyZF1Kzwu5EPhX8mHtyIZAKs4ua04+BWrDs/X/IZtCcVu7du1G//e23vz58xPHV6xYEbNnz67Rmi1btqxTNurQoUMMHz48Ro8enXLO22+/HQMHDoxLLrkk+vbtm7je/Pnz4/rrr097kWLbtm3jnHPOqVXN+dSoUaO48sor4/jjj4+qqqoNzpk3b14cc8wxMWLEiDj22GMTLy+rrKyM++67L26++eZYvXp1ynnl5eVx5ZVX1uuL0wEAACgsfkMFoOgNHz48nnzyyZTdJdZ3CL7zzjujffv2G73ulClT4owzzij6DsGrVq2K++67L/74xz/GwIED4xe/+EV07tw5I2uvWbMm7rrrrhgzZkzKw/b1dAwCgNK3vttrqm6u67u93nrrrYldYf+3WbNmxdChQ3V7BciQSZMmxbx581KOb7bZZnHAAQfksKLC8d5778V7770X1113XTRr1ix22WWX2GWXXWKnnXaKzTbbLFq0aBEtWrSI5s2bx4oVK+L777+PRYsWxbRp0+KNN96I999/P9asWbPR+w0fPjwOPvjgLP6NgExYu3ZtvPzyy/Hyyy9HRMQWW2wRu+yyS+y6667RsWPHaNWq1T8/Hxo3bhxLliyJxYsXx/z58+Pdd9+NN998Mz777LOorq7eqP0qKirihhtuiA4dOmTzr5U122+/fYwaNSrOPffclHOqqqri9ttvjwcffDAOO+yw6NGjR3Tq1Omfn69z5syJd955J5566qn4+uuv0+55zDHHxOGHH57JvwZQR3Pnzk15PvCvPv744zjssMNyUFFE+/bt46WXXsrJXpkin0LhOeKII+L111+PP/3pTynnLFq0KC666KIYO3ZsHHHEEfGDH/wg2rVrF40bN45ly5bF559/HlOnTo1nn302li5dmnbPUaNGxXbbbZfJv0ZOyIXAv5IP6042BDbE2eXGk0+B2vBsfcNkUyg+3377bdqLpmrqueeei+eee65Gf+aMM85IbOC6MYYOHRpTp06NV155JeWcOXPmxGmnnRZdunSJQw89NHbfffdo27ZtVFRUxOLFi+Ozzz6LKVOmxMSJE2PVqlWJ+5WXl8f111+ftUb32bbXXnvFmWeeGTfccEPKOatWrYr//M//jN///vdx+OGHx1577RUdOnSIpk2bxvLly+Orr76KN998M55++ulYsGBB2j1HjBgRe+65Zyb/GgAAAFAnLtcCoOjpELxxdAwCgNoplY5duaLbK0DhS9dt8cgjj4xGjRrlqJrCtXz58njrrbfirbfeysr6p59+epxxxhlZWRvIrnnz5sW8efPir3/9a8bXbty4cdx8883Ru3fvjK+dS//2b/8Wn3/+edx6662J85YsWRIPP/xwPPzww7Xeq3fv3nHJJZfU+s8DFAv5FArHpZdeGrNnz45XX301cd7s2bPj9ttvr9Nep59+evTr169Oa+STXAiQHbIhkIqzy2TyKVBTnq2nJ5sCuVZWVhbXX399HHfccfHJJ58kzp0+fXpMnz69TntdccUVsddee9V6jUJwyimnxMyZM+Pxxx9PnDdv3ry4995749577631XgMGDIhhw4bV+s8DAABANrhcC4CSoENwzegYBAAbr5Q6duWCbq8AhW3BggUxadKkxDmDBg3KUTX1U+PGjWPUqFFx5JFH5rsUoMC0a9cubrnllujatWu+S8mIESNGRGVlZdx1111Z26Nnz54xduzYqKioyNoeAKVOPoWaq6ioiFtvvTVOOeWUmDp1atb2GTJkSJx55plZWz9X5EKA4iEbAqmU0tmlfApsLM/W80s2BZK0atUq7rnnnjjxxBPrdHlWkgYNGsQll1wSRx99dFbWz6WysrL47W9/G2vXro0nn3wya/v069cvrrrqqigrK8vaHgAAAFAbLtcCoGToEFw7OgYBAJmm2ytA4XriiScSL0vu3r17dOnSJYcV1S89evSIK664Ijp16pTvUoACUlZWFj/96U/j3HPPjZYtW+a7nIw677zzomPHjjFy5MgaXda/MX7+85/HxRdfXO87wgPUhXwKtdekSZO4++6746qrrooHH3wwo2tXVFTE5ZdfHoMHD87ouvkkFwIUPtkQ2JBSPbuUT4GN4dl6/simwMZo06ZNPPTQQ3H++efHxIkTM7p2ixYtYvTo0bHvvvtmdN18Ki8vj+uuuy46deoUY8aMierq6oytXVZWFmeeeWacdtppGVsTAAAAMqlBvgsAgExZ3yG4Z8+eWd2nVDoEZ1vjxo3jd7/7nZ8VANRTI0aMiCFDhmR1D91eAWruscceSxyvT511O3ToEM2bN8/JXl27do2xY8fGfffd5wvAUAR23HHHnLz4VFZWFgceeGA89thjMWrUqJJ6Oe1fDR48OJ544omMndtuu+22cccdd8TIkSO9oAaUFPkUik+jRo1i5MiRcccdd8S2226bkTV79uwZjz/+eEldrLWeXAiw8WRDIBVnl5kjnwLpeLb+D7IpUMiaNWsWY8eOjf/8z/+MNm3aZGTNQw45JJ566qmSulhrvbKysjj99NPjoYceil122SUja+6yyy7x0EMPuVgLAACAgtYw3wUAQCbpEFwYdAwCACJ0ewUoNO+++258+umnKccbN24c/fr1y2FF+XXcccfFL37xi/jwww/j9ddfj7fffjs+/PDDmDdvXkbWb9euXey///5x1FFHRffu3TOyJpAb1113XYwaNSr+9re/xdSpU+Nvf/tbTJs2LZYtW1bntcvKymKnnXaKgw46KAYMGBDt27fPQMWFb4cddoj77rsvpkyZEuPGjYtXXnkl1q1bV6M1dt555zjuuOOif//+LtgFSpJ8CsVr3333jV69esWf//znuO+++2LatGk1+vMNGjSIPn36xAknnBB9+vTJUpWFQS4E2DiyIZCKs8vMkk+BVDxb/x+yKVAMjjrqqDjwwANj/Pjxcf/998dXX31Voz/fqFGjOOigg+LEE0+M3XffPUtVFo499tgjHnvssXjhhRfi3nvvjbfffrvGa+y5555x/PHHx0EHHRTl5eVZqBIAAAAyp6y6uro630UAQDZMmjQprrzyypg1a1ad1+rZs2dcfvnlscMOO2Sgsv/rwgsvjAkTJqQcHzBgQFxzzTW1WvsPf/hD3HjjjRn5Ak06Xbt2jdNOOy369u0bZWVlWd8PAHJh9uzZ0bdv33yXEWeccUYMHz68Vn82m1ljY8yYMSOuuOKKmDp1ap3X2nbbbePSSy8tya5gABSGBQsWxMcffxyfffZZfP311/Htt9/GN998EwsXLoyVK1fGqlWrYtWqVVFeXh4VFRXRtGnT2GKLLaJt27bRsWPH2GmnnWL33XePjh075vuvAmRQdXV1zJ49Oz7++OOYOXNmzJkz55+fD0uWLPnn50NlZWU0bNgwNtlkk2jZsuU/Px923HHH2GmnnWLPPffMWMfcYrZw4cKYPHly/O1vf4vPPvssZs+eHcuWLYuVK1dGRUVFNGvWLNq2bRudO3eObt26xb777hvbbbddvssGyAv5FIrPl19+GZMmTYoPPvggPvvss/juu+9i+fLlUVlZGU2aNInmzZvHNttsE507d44f/vCH8eMf/zhat26d77LzQi4EqBnZENgQZ5eZI58CbDzZFChk06ZNi8mTJ//zc2r+/PmxfPnyWLNmTTRt2jRatGgRHTp0iB133DH23nvv6N27dzRv3jzfZefNd999F5MmTYq///3vMWPGjJgzZ04sW7YsVq1aFY0bN47mzZtHu3btYocddog99tgj9t1332jbtm2+ywYAAICN5nItAEpaZWVlUXQIzvaFF1VVVToGAUAtuVwrc3R7BQAAAAAAAAAAAAAAAAAgF1yuBUC9oUPw/0/HIAAgX3R7BQAAAAAAAAAAAAAAAAAgm1yuBQAAAAAAAAAAAAAAAAAAAAAAQMlokO8CAAAAAAAAAAAAAAAAAAAAAAAAIFNcrgUAAAAAAAAAAAAAAAAAAAAAAEDJcLkWAAAAAAAAAAAAAAAAAAAAAAAAJcPlWgAAAAAAAAAAAAAAAAAAAAAAAJQMl2sBAAAAAAAAAAAAAAAAAAAAAABQMlyuBQAAAAAAAAAAAAAAAAAAAAAAQMlwuRYAAAAAAAAAAAAAAAAAAAAAAAAlw+VaAAAAAAAAAAAAAAAAAAAAAAAAlAyXawEAAAAAAAAAAAAAAAAAAAAAAFAyXK4FAAAAAAAAAAAAAAAAAAAAAABAyXC5FgAAAAAAAAAAAAAAAAAAAAAAACXD5VoAAAAAAAAAAAAAAAAAAAAAAACUDJdrAQAAAAAAAAAAAAAAAAAAAAAAUDJcrgUAAAAAAAAAAAAAAAAAAAAAAEDJcLkWAAAAAAAAAAAAAAAAAAAAAAAAJcPlWgAAAAAAAAAAAAAAAAAAAAAAAJQMl2sBAAAAAAAAAAAAAAAAAAAAAABQMlyuBQAAAAAAAAAAAAAAAAAAAAAAQMlwuRYAAAAAAAAAAAAAAAAAAAAAAAAlw+VaAAAAAAAAAAAAAAAAAAAAAAAAlAyXawEAAAAAAAAAAAAAAAAAAAAAAFAyXK4FAAAAAAAAAAAAAAAAAAAAAABAyXC5FgAAAAAAAAAAAAAAAAAAAAAAACXD5VoAAAAAAAAAAAAAAAAAAAAAAACUDJdrAQAAAAAAAAAAAAAAAAAAAAAAUDJcrgUAAAAAAAAAAAAAAAAAAAAAAEDJcLkWAAAAAAAAAAAAAAAAAAAAAAAAJcPlWgAAAAAAAAAAAAAAAAAAAAAAAJQMl2sBAAAAAAAAAAAAAAAAAAAAAABQMlyuBQAAAAAAAAAAAAAAAAAAAAAAQMlwuRYAAAAAAAAAAAAAAAAAAAAAAAAlw+VaAAAAAAAAAAAAAAAAAAAAAAAAlAyXawEAAAAAAAAAAAAAAAAAAAAAAFAyXK4FAAAAAAAAAAAAAAAAAAAAAABAyXC5FgAAAAAAAAAAAAAAAAAAAAAAACXD5VoAAAAAAAAAAAAAAAAAAAAAAACUDJdrAQAAAAAAAAAAAAAAAAAAAAAAUDJ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      "text/plain": [
       "
" ] }, "metadata": { "image/png": { "height": 559, "width": 2411 } }, "output_type": "display_data" } ], "source": [ "az.plot_energy(log_logistic_trace);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray ()> Size: 8B\n",
       "array(1.00104019)
" ], "text/plain": [ " Size: 8B\n", "array(1.00104019)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.rhat(log_logistic_trace).ds.to_array().max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we calculate the posterior expected survival functions for this model." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [events]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "916b49fa114644dca0314496c6cfe9a5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with log_logistic_model:\n",
    "    pm.set_data(\n",
    "        {\"predictors\": X_pp, \"censored\": cens_pp, \"y_obs\": np.zeros(2), \"y_cens\": np.zeros(0)}\n",
    "    )\n",
    "    pp_log_logistic_trace = pm.sample_posterior_predictive(log_logistic_trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "pp_samples = az.extract(pp_log_logistic_trace.posterior_predictive[\"events\"])\n",
    "\n",
    "linear_pred = y.mean() + y.std() * pp_samples\n",
    "\n",
    "log_logistic_pp_surv = np.exp(linear_pred) >= t_plot\n",
    "\n",
    "log_logistic_pp_surv_mean = log_logistic_pp_surv.mean(dim=\"sample\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8+OKL2LRpk8F8bnJ0dMTLL7+MLVu2GPyat27dijNnzhidM90uKSnptv/29vbGnj178OKLL4reb25q3bo11qxZg9GjR4vO2759OzIyMvD555/f9nizZs2wadMmfPLJJ0YVFdrb22PevHl477339G78vumvv/5CUVGRwXhieF+XRu/evbFmzRocPHgQb775JsLDww0WrQgJCAjA8uXL8eWXX8Ld3V1wXmZmpmjHQEN27dolOObi4oLt27dj5syZokUrYhQKBUJDQ/H6669j3759+OSTT9CzZ09z0yUjlZSUYOrUqaJFK507d8a4ceNMirts2TLBgnzgRsHHa6+9hh07dmDo0KGiz113GjlyJH7++WcMGTJEcI5arcabb75p9l6kkpISLF68WHROixYt8PXXX2PhwoVGvRaxtbXFhAkT8NNPP6FLly63jdXU1CAhIcGsXImIpMDCFSIiImoUZHI5FD27iM7R5eZDl3WtljIiKbjYqrC8XwDe7u0DhQlvIACARqfDxsRMTNx/Fgn54u3MiYiIiIiIiIiIiOora3RdOXnypN7H27Vrh9atW+sdk8lk6N27t2Q5xMfHo7RU+L3boKAgqFQqo+MtWrQIlZWVguPDhw/Hd999h/bt25uU560GDhyIbdu2iW5yNabzQX02fvx4LFmyxORT0uVyOebMmYPXXntNdN6hQ4dw9OhRS1IkqjXdunXDd999Z9Yp6m5ubvjqq69EN1anpqbi7NmzZuf3zTffiG7WBYAFCxZg+vTpJm3Uval3797YsmULXFxcBOdotVq8++67Jsemu3Xt2hXffPONyfcpmUyGJUuWiBZ7ZmZmYtKkSaioqPjvMVdXV2zZssXoIsVbPf7445gwYYLguFqtxu+//25y3Fvxvm4ZV1dX7NixA9u3bxfsMGGue+65B5s3b/6vm4k+X331lVkb+TMzM+/qQnSrxYsXo3v37ibHFaJUKnH//ffj+++/N+t3gYxTXV2N2bNnIyUlRXBOy5YtsWHDBpMKkv7991/s3LlTcNze3h6bN2/Gc889Z1K+d8ZYvXo1HnnkEcE50dHR2L9/v1nx165dK3oQwc3n6pCQEJNjt2vXDlu2bDGrMyYRkbWwcIWIiIgaDUWvbgbnaGJ5ckBDdL+XB3YN74UWtsZ/SHlTanEFnjsYh1Vxl1Ap0OqZiIiIiIiIiIiIqL4yVLhy6tQpk2MKXSPUbcXQeHR0tMmbEw3lbejrvtWBAwdEi2eCgoKwfPlyk4sx9OnWrZvoJu2EhAQcPHjQ4nXqQt++fbFgwQKLYjz33HN49NFHReesWbPGojWIakPz5s2xbt06uLm5mR3Dw8MDL774ouicffv2mRW7qqoKX375peicxx9/HJMmTTIr/k2+vr5YuXKl6Jz4+HgcOnTIonWaOmdnZ6xdu9borj53ksvleP3110XnZGZm3vbfH330kUUFADNnzhQtavrtt9/Mjs37uuVcXFzQq1cvq8X39fXFJ598IjielZVlVmFzYmKi4FiHDh0wfPhwk2May9xONGTYW2+9hRMnTgiO29vbY+3atUZ1frrVRx99JDgml8vx8ccfG/z7xhgKhQKLFy+Gn5+f4BxzXt8WFhZi+/btguMymQwrV640umOaPs7OzlizZo1g50wiotrGwhUiIiJqNOSdOwLNxFsma2ITzG7RSXWrdTM7/DgiCN2aNzP5Wi2AbSlXMG7fWcReL5Y+OSIiIiIiIiIiIiIrkbrjSlFRkeBpx4Y2dgmd9FtYWIjk5GST8pCycGX16tWCY05OTvj8889ha2trdDxDHn74YYwYMUJw/LvvvpNsrdqiUqnwzjvvQKFQWBzr9ddfF93MHB0dbVGXCaLa8MEHH8DDw8PiOE8++aRoVwJzNnYDwK+//orc3FzB8ebNmxvsgGSsAQMG4MEHHxSds3HjRknWaqoWLVqEVq1aWRQjJCQEAQEBRs198sknMWjQIIvWc3FxwcMPPyw4HhcXh5qaGrNi877eMISHh4v+u/39998mx8zKyhIck6IAgWrf6tWrsXv3bsFxhUKBlStXinaN0mf//v2Ij48XHJ8yZQqGDh1qUkwxtra2WLFiBeRy/Vuu4+PjERcXZ1LMHTt23NYJ604PPvgg+vfvb1JMfVq3bm2wkJaIqLawTJSIiIgaDZlCAUXPAGiOxwjO0eXkQXc1B7I2nrWYGUnFTqnAhsHd8fapC9iXmWfy9RmllZj2Tzwe92mFGd07wEFp+QdwREREREREREQNXYm6BrmV6rpOg5qwlnY2cLLhR9dCPD094eXlhfT0dL3j58+fR0FBgejG6FudOnUKWq1W75ihYpGuXbuiWbNmKCsru2ssMjLS6A2zWq0WUVFRguMODg5Gb16LjY0V3bQ2bdo0izomCJk+fTr++OMPvWNHjhxBXl6eVda1lnHjxqFTp06SxGrevDlmzZqF999/X3DOTz/9hB49ekiyHpHUQkNDMWTIEEliKZVKjBgxAt9++63e8fj4eGg0GpOLxn766SfR8VdeeUW0gMxUr732Gg4cOIDy8nK946dOnUJWVpbJp+UT4O/vj0ceeUSSWMOGDUNSUpLoHBsbG8ydO1ey9bZu3ap3rKqqCmlpaaIdCvThfb1hGTt2rOC/m1iHDSFCzzEA4O7ubnI8qls//fQTVq1aJTpn4cKFZt1zxTqVuLu7Y+rUqSbHNMTPzw9DhgwR7Jb2888/m1SAI3Yvd3BwwLx580xNUdATTzyB7777zuA9gojI2vjuHxERETUqip5dRQtXAEBzOh5yFq40WEq5HItDfeFmp8KOC9dMvl4HYGfqNZy4VoDFoX7o2sJR+iSJiIiIiIiIiBqAM9eL8VHsRVwoEt4cRFQbZAB8XBwwP8gbPdyc6jqdeik0NFSwcEWn0+HUqVMYNmyYUbGEOp20atUK7du3F71WoVAgKCgIR48evWssMjISEyZMMCqHxMRElJSUCI4HBQVBpVIZFeuHH34QHHN3dzc6J1MFBASgb9+++Pfff+8a02g0OHr0qGQbka1NqVRKvrlv7NixWLNmDQoKCvSO//HHH1i0aJHgqdVEdWnSpEmSxhs8eLBg4YparUZGRga8vLyMjpeTkyNa/NeyZUuMGjXK1DRFeXp6YsyYMfj666/1jut0Ovz++++YMmWKpOs2Bc8884xkscLCwgzOGTFihGQFGMHBwVCpVKiurtY7npiYaHLhCu/rDUtISAicnZ1RXFx819iFCxdQWloKR0fjP4+3s7MTHCssLDQnRaojJ06cwKJFi0TnPPvssxg3bpzJsa9evYrjx48Ljk+ZMsWknztTPPvss4KFK//884/Br/mmpKQkpKWlCY6PHj0anp7S7WtSKBSYNm0aO68QUZ3jOwBERETU4OnKK6BJOA8AkPt1AhzsRedrYhNqIy2yIrlMhpd6eGFaN/EPUcVkllXh+UPnsDU5C1qdTsLsiIiIiIiIiIjqv5PZhZhxOIFFK1Qv6ABcKCrH9H/icTK7sK7TqZcMdUKJjIw0OpZQ4UpISIhR1/fp00cwrs7I91qFcrjJ0Nd7k06nw4EDBwTHhw0bBhsbG6NimWPAgAGCY+acMl5X+vXrhxYtWkgaU6VSYfjw4YLjeXl5SEjg5zVU/7i5ueHee++VNKa/v7/oeEZGhknxjh8/Lvp8+9BDD5ncwcUYhjbti20iJv1UKhUeeughyeL5+PgYnPPYY49Jtp5SqRQtuhLblK0P7+sNj1KphLe3t+D4+fPnTYon1kHQ0HMf1R/nz5/H7NmzBYvaAGD48OF47bXXzIp/4MABwQ6ScrkcDz74oFlxjREUFIRmzZrpHbt8+TIyMzONiqPvIIBbWeNrGDJkiNUKeoiIjMXCFSIiImqwdOUVqP79ICrf+RTqjTugKyqBTKGAokeA+HXZ16G9mlNLWZK1yGQyPBvQDvODOkFmZgyNTofV5y7j9X+T+SYXERERERERETUZOp0O6+Ivo4bvh1A9U6PTYX18Bt+r00OqwpWSkhIkJibqHRMqSLmTUIFLYWEhUlJSjIpx8uRJ0XFjTowHgHPnziEvL09wfOTIkUbFMZdYsU98fLxV15aStTb3GdqMbUrBFVFtCQ4OlrwTUOvWreHkJNxRTOx5TB9Dz6EPP/ywSfGM1a1bN3Tu3FlwPDo6WnSTMt0tICAADg4OksVr3ry56MZ/hUKBnj17SrYeANGiBbHuavrwvt4wiXXwuXTpkkmxxLr/ZWRkYOvWrSbFo9qXk5ODqVOniv7+9+rVC8uXLzf7fnv48GHBsZCQELi7u5sV1xg3O1AKMfa5Quxe3r59e/Tq1cvU1AyytbU1uksnEZG1sHCFiIiIGpxbC1Zq/vgHqKwCqmtQvf8YAEDRq6vBGJrTfGOpsRjl3QpLwnyhlJlbvgIMaNUcMguuJyIiIiIiIiJqSEqrNUgoKKvrNIj0ii8oRWm1pq7TqHc8PT3RsWNHwfGUlBQUFhYajBMVFSV4OrGxhSs9evSAnZ2d3jFDnVQAQKvVIjo6WnDcwcEBgYGBRuUSExMjOKZUKkU3lUnBz89PcCwtLQ1qtdqq60ulX79+VokbHBws+LMC3NigTFTfBAcHWyWuWDGBMc/ftxIqQAQAV1dXdOnSxaR4phB7vqiqqjK5w0ZTZ42NyS4uLoJjfn5+gp0CrLGeqYUrvK/XPbVajYKCAmRnZyMrKwuZmZkG/6dUKgXj5eSYdqBoz549RYu5li5dio0bN0Kj4d8L9VFZWRmmTZuGK1euCM7p0KED1q5dC1tbW7PXOX36tOCYsX/TWELsuSIpKcmoGGKvg6312tzasYmIjCH8qoGIiIiontGVV6Dm0L+oOfTvjWKVO2iORUEX0R9yf2/AwQ4orxSMpTmTANX90rb5proztJ07nFRKzD+RjAqN/g9dha91w0NeHlbKjIiIiIiIiIiIiEgaoaGhgqdW63Q6REVFYejQoaIxhDpcuLu7w8fHx6g8bGxs0KNHD72xIiMjMW7cONHrU1JSUFRUJDgeHBwsugHyVgkJCYJj7du3h0qlMiqOuZo1awaVSqW3w0BNTQ2ys7NFTw6vD9zc3NCyZUurxJbL5fD19UVcXJze8fPnz1tlXSJLdOrUySpxxYoFTNkMr9FokJqaKjhuzaIVAOjaVfwAwZSUFPj7+1s1h8bEGj9vYpv+xYpgrbFeaWmpSbF4X689165dQ0xMDM6ePYu0tDRcunQJOTk5KC8vl3SdgoICk+arVCoMGjQIe/fu1Tuu1Wrx0Ucf4YcffsC4cePwyCOPwNHRUYpUyUIajQYvvfSSaMcRV1dXbNiwAS1atDB7nYyMDNG/JYz9m8YSYgV7YkU7N+Xn5yM/P19wPCAgwKy8jGHN2ERExmDhChERETUY6i27oU0Q+RDj/3ddsRk1AorAAGhOxgpO1V3NhfZaLuStrPNhDNW+ME9XfD6wK148loRidY1R18gADGnbgt1WiIiIiIiIiKhJcVQp0LV5M3ZdoXqpW3NHOKoUdZ1GvRQaGoqdO3cKjkdGRppduNK7d2+TcunTp4/eWMZ0XDl58qToeGhoqNF5XLhwQXCsdevWyMzMNDqWuRwdHQU3ZTaEDa7W3rwWEBAgWLiSnp5u1bWJzCG2GdUSUhWu5OTkiM63duGKofi18bzbmDg7O0seU6yQxBo/32LrlZWZ9vcG7+vWlZ+fj927d2PPnj2iRUJSqqwUPmxUyLRp0/DHH39Ap9MJzklLS8N7772HpUuXom/fvhgyZAjCwsJqpWiB9Hvvvffwzz//CI7b2NhgzZo1FhfsiRVvAjfut9Z+rhD72bx27ZrB6w29Brbm6/NOnTrBxsamSXSQIqL6iYUrRERE1GAoh4RDLVa4gv/ruqLo1VW0cAUANLEJkI8YJGGGVNe6tXDChkHdMOdoInIqDP+hrQPwZuR5lNVo8TC7rhARERERERFREyGTyTCtWwe8fCwJNSIbLohqm1Imw7Ru7XnQjICwsDDRcaGilJtKS0uRmJiod8yUYhHgRuGKPvn5+Th//jx8fX0FrzVU3GJKLmIbw44fP46IiAijY1lDYWFhna5vDGt1l7jJ29tbcEytVqOoqMhqhQJE5rDWz6NcLhccE9sAe6ecnBzR8br8nQYM50e3s0bhitjPmpOTU62uZ8rPNsD7urUUFxdj7dq1+Oabb1BVVVWra5uzXkBAAMaOHYvt27cbnFtdXY0jR47gyJEjAG50Eezduzd69eqFXr16oXv37rCxsTE5BzLNF198ge+++05wXCaT4cMPPzS5WF6fq1evio6/8MILFq9hCbFuMDfl5uaKjlvzXq5UKtGxY0d2PiSiOiP8ypGIiIionpH7doLcp4P4pOoaVO87Crm/N2BvKzpVEyvcopQark7ODvhicHd0dLQzar5GB7wfnYovEzJMfvOUiIiIiIiIiKihCvN0xdpB3dDZxQEsEaC6JgPQ2cUBawd1Q6ina12nU295enqiY8eOguPJyckoLi4WHI+OjoZGo9E7JlSIIqRXr15QqVR6x8QKaHQ6nWjhioODAwIDA43KoaamBnl5eUbNrSsN4SRja2xiNiX+9evXrbo+kalsbcU/X6xrQp0gbnJ0dLTq+jY2NqKbwPPz8626fmNjZ2fc55kNdT1T8L5uHceOHcMDDzyAr776qtaLVgBAq9Wadd3ChQsNFm3rc/36dfz555/48MMPMXbsWISEhGD8+PFYv349UlJSzMqFxP3+++9YsWKF6JxXXnkF999/vyTr1fcCSWN+zwy9/rVGUeOtrP1agYhIDDuuEBERUYMhk8mgHDkY6tVbROdpjkdDNXQAFIEB0ESeEZynu5IDbfZ1yD3dpU6V6lgrB1usH9wdLx5NRFKhcS2ov0jMRE6FGq8FeUMp53YNIiIiIiIiImr8erg54ZuhPVGirkFuZcPbhEWNR0s7GzjZ8KNrY4SGhuLSpUt6x7RaLU6dOiV4GrlQQYmrqyv8/PxMysPe3h7dunVDbGys3nWeeeYZvdelpKSInlYeHBwMpdK4n4Xy8vJ6fxhRXWwQNZW1N641a9ZMdLyiosKq6xM1NoZ+Z2pjM6qTk5NggUFDeN6j+on3dent3LkTb7/9tmDhcn2mUqnw5Zdf4u2338bu3bvNjlNVVYXIyEhERkZi5cqV8PHxwWOPPYbRo0ejRYsWEmbcNEVFRWH+/Pmiv7tPPvkkpkyZItmapaWlksWyBmOeJyorKwXH7O3toVAopEzpLixcIaK6xHf/iIiIqEG52XVFm3pZeNL/77qi6NVVtHAFADSxCZAPHyhxllQfNLdVYc3AbnjtRBKicoVPGbzVz+k5yK1U4/0wPzgorftmABERERERERFRfeFko2TRAFEDERoaip07dwqOixWuCHU66d27N2Qy0w/zCQkJ0Vu4EhUVJZqfmNDQUKPXF9vwVV/U9w24gPU3rhmK39A2ARPVNUMdH+q6cKUhPDdT/dQQfnYawn39pr179+LNN99sUDnfycbGBkuXLsXgwYOxcuVKpKenWxwzNTUVH3/8MT7//HM89dRTmD59OlxcXCxPtgm6ePEiZs6cKXpfGjhwIN5++21J120Mrx3FvobauI+zcIWI6pK8rhMgIiIiMsXNriuGaI5FQdbKA7ATb+etiY2XKDOqj5qpFFjZvwuGtDX+tJTj1wox/Z945AmcMppcWIaciob/ZggRERERERERERE1PGFhYaLjQl1VysrKEB+v//3wPn36mJWL0HXXr19HamqqSfndZErhSkM8Pbw+ksutu23EUPyGvKGWqD6qjd8prVYrOGZOISQRwPu6lDIyMrBw4UKjng+USiV69eqF8ePH46233sKGDRvw448/4tChQ4iMjERcXBwSEhKQnJws+L/HHnvMql/P8OHDsWfPHixbtgwhISGSxKyoqMCmTZswYsQI7Nu3T5KYTUl+fj6mTp0q2kmxa9eu+PTTTyXvHlJTUyNpvPqmNu6j1u7oQkQkhkcnERERUYNjVNeVGg00/8ZA0d0fmqizgtN0WdnQ5uRB7uFmhUypPrBVyPF+mB8+PZuOHReuGXVNUmEZnj94Dv8b0AUdnOz/e7xYXYPXTiShokaLN3v74J42bB9MREREREREREREtcfT0xMdO3bEpUuX9I4nJiaipKQETk5Otz0eExMjuMnL3MKV3r17Qy6X693AHBkZCR8fn7seF+u44uDggMDAQKPXt7UVP7iKjFNaWlqn8fl9JDKNod8Za/9OA0BJSYngGH+nyVz82ZHOsmXLUF5eLjrHz88Pzz77LIYNG2Zx94XaKJhTKpV47LHH8Nhjj+Hy5cvYt28fTpw4gejoaJSVlZkdNz8/H7NmzcLrr7+OSZMmSZdwI1ZZWYnp06fj8mXh/TqtW7fG+vXr0axZM8nXbwzPFTY2NoJjdX0fJyKyNhauEBERUYNzs+uKevUW0Xk1J2Kgevx+0cIVANDEJkA+7B4pU6R6Ri6T4eWendDawRafntX/ge6drpRX4flD57CiXwAC3Zyg0+nwQUwqrpXf6MTy6olkPOHTCrMCO8JWwUaGREREREREREREVDtCQ0MFC1e0Wi2ioqJw77333va4UMGIo6MjunTpYlYeTk5O8Pf3R2Ji4l1jkZGRGDt27G2PXbhwAfn5+YLxgoODoVQav4XBzs5OdHzkyJH49NNPjY7XVNV14Yq9vb3oOBHdztDvTG1seBVbg7/TZC7e16WRkpJisIPI888/j5dfflmyrgvFxcWSxDFWhw4dMHnyZEyePBk1NTVISEhATEzMf//Lzc01KZ5Op8OyZcvg6emJkSNHWinrxkGr1WLevHmIjY0VnOPk5IQNGzbAw8PDKjkYeq74/fff9RbQ1ydiX0NFRQW0Wq1VuyLWxmsFIiIh3GFHREREDdLNriuiSsoAdTVgK3xaAXCjcIWahrG+bfB+mC9UcuPaqxapazDzcDz+uZKPn9NzcDDr9g9Vv0+9hskH45BWLH5iDREREREREREREZFUQkNDRccjIyONegy4USxiyabFkJAQvY/rK5QRyuEmQ1/XnRwcHEQ3SBcVFZkUr6mq68KVFi3qd2fzysrKuk6B6DZubm6i49beQF5ZWYnq6mrBcUP5EQnhfV0aP/74o+j47NmzMW/ePMmKVoDaL1y5lVKpRI8ePTBp0iR89tlnOHr0KP766y8sXrwYw4YNg4ODg1FxdDodFi5cKFpkTTe6+fz111+C4yqVCqtWrYKfn5/VcjB0nyksLLTa2lIRe/2r0+ks6iJkDBauEFFdYuEKERERNUgymQzKYQMNztOciIGiu7/oHF3mVWiv8w2IpmJoO3d8NqALnFTGvRlXpdVh/olkLD99Ue/4haJyTDoQh58uZtdKG2QiIiIiIiIiIiJq2sLCwkTH7ywQqaiowLlz5/TO7dOnj0W5CF2fm5uLtLQ00bzuZGrhCgC0bt1acKwhbFqrDy5fvlxn8VUqFZo3b250LJlM+FAqrVZrUl7G4s8R1TeGTrBPTU216voXLlwQHbfWCfvUNPC+brlDhw4JjnXt2hXTp0+XfM26LFzRp2PHjnjiiSewatUq/Pvvv/jf//6Hfv36GbyuvLwc69atq4UMG6YtW7bg66+/Fp3z3nvvITw83Kp5tGnTRnS8ITxXGLpXCnXXlIJOp0NGRobV4hMRGcLCFSIiImqw5P7ekHmIn6agTbsMWQfxP1wBQHOaXVeakuCWLtgwuDs87cW78dykA1AjUpRSpdFiaUwaFp5MQbG6RqIsiYiIiIiIiIiIiO7m6emJjh07Co4nJibedoru6dOnBU/HN6dY5FZihS93dl2JiooSnOvg4IDAwECT1xf7d8jJyTE5XlOUlJRUZ/Hbtm0rWoxyJ6VSKThWXm6dzuj1bTMuUcuWLUU7CFj7dzoxMVF0vEOHDlZdnxo33tctU1RUdFfh8K3GjBkjaacVAFCr1UhPT5c0ppRsbW0xYsQIbNq0Cdu3bzf4HLV7925oNJpayq7h2LdvH5YuXSo6Z+bMmRg1apTVcxF7ngCA7Oxsq+dgqfbt24uOG7rXWuLSpUtWe91MRGQMFq4QERFRgyWTy6EcYPg0ON3VHMBGJTpHc4aFK02Nt7MDvry3Ozq7GNce2BgHsvIxfv8ZnLnOD7KIiIiIiIiIiIjIesQKTjQaDaKjo//7b6FOJ/b29ujWrZtFebRo0QLe3t56x25dNy0tDbm5uYJxgoODRYsShHTv3l1w7Pr16/V6I2V9cfXqVRQVFVkltk6nQ3JysuC4n5+fSfFsbW0Fx8rKykyKZSz+DFF9I5PJ0LlzZ8HxxMRE6EQOY7NUQoL4Z6r+/v5WW5saP97XLWPo3yciIkLyNc+dOwe1Wi15XGvo3bs3tm3bJtrZp6SkBHFxcbWYVf139uxZvPrqq6Ld7R555BHMmTOnVvLx8/ODjY3wAaW3/h1UX3l6esLZ2VlwXOz1s6WsXeBKRGQIC1eIiIioQVOE9gRU4h9maWLOQd7FR3SO7vIVaPMKpEyNGgAPe1usH9QNfVq6SBbzWrka0/6Jx5eJGdBY8YMBIiIiIiIiIiIiaroMdUq5tWhEqHAlKCgIKpX4oU/GEOq6YkwON4WFhZm1dlBQkOj4yZMnzYrb1NzZHUcqd3b/uVPXrl1NiufiIvxefn5+vkmxjBUTE2OVuESWEPvdKS0txenTp6229tGjRwXHHB0dDZ6EfydTui5R48f7umXEutKoVCp4eHhIvmZDu096enritddeE51z5swZo+M19uewjIwMTJs2DRUVFYJzwsLCsGTJklrLSaVSiRbfG/q7o74Qu5db82uw1ut+IiJjsXCFiIiIGjSZgz0UIT3EJ6mrIbO3NxhLE8uuK02Ro0qJTwYEYEQHd8liagF8kZCJmYfjkV1eJVlcIiIiIiIiIiIiIsBw4crNDUmVlZU4e/as3jkhISGS5CJUuJKTk4NLly7dlo8QQ1+P2NrNmjUTHD906JBZcZuaX3/9tU7imvp9d3cXfh8/LS0NGo3GpHiGlJaWWvXEayJzhYeHi47/8ssvVlk3JiYGly9fFhzv06cP5HLTtqIpFArBsaoqfsbW1DS2+7pYNzlr/HyLFRe4urpapcji559/ljymtQ0dOhQODg6C46YUwxrqGNiQn8eKioowdepU5OXlCc7p3LkzVq9eLdoBxRoGDx4sOJaTk2OwO1h9IPY6ODk5GefPn5d8zZqaGvz++++SxyUiMgULV4iIiKjBU96j/0OxW2nTLhvuzMLClSZLJZfjnZDOmOjfVtK4p6+XYNy+MziUJfxmDhEREREREREREZGpWrVqhQ4dOgiOx8fHo6ysDLGxsaiurtY7x9xikTsJFa4A/3dasNipwQ4ODujevbtZa9vY2IhuXDt48CBSUlLMit2UHDp0SLQzijl0Op3oxjgnJyf06GHgYLI7tG/fXnBMrVbj4sWLJsUzZPfu3ZIXwxBJITw8XHSz9N69e6FWqyVf96effhIdv+eee0yOaWtrKzgmtgmfGqfGdl8X28xfWVkp+XpinfTKy8slX+/EiRMN6vtxk42NjehrioKCApNiibHG97k2qNVqzJw5E2lpaYJzWrZsiQ0bNsDZ2bkWM7vhvvvuEx1fv359LWVivv79+4uOW6Ow/NixY1brUkhEZCwWrhAREVGDJ2/XGnKvdqJzdDl5kHcQL0rQXcqCNr9QwsyoIZHJZJjRvQNe69VJ0hfJxdUazP83BZ+dTYdGp5MwMhERERERERERETVlYoUnNTU1iImJESwYsbW1Rc+ePSXJo1WrVmjXTv979JGRkUhPT0dOTo7g9cHBwQZPqxbzxBNPCI7pdDqsXbvW7NhNRWVlJbZv3y5pzD179uDatWuC40OHDhXdYKuPj4+P6Pg///xjUjwxWq0WW7ZskSwekZRcXFxEi0QKCwuxdetWSdfMyMjAjz/+KDiuVCoxcuRIk+O6uLgIjomd8k+NV2O6r7u6ugqOXb9+XfL1WrRoIThWVlaG4uJiSdf74osvJI1Xm8SK5sQ6Qd3J2dlZtJONNb7P1qbT6bBgwQLRjokODg5Yt24d2raV9mBQY/n4+IgWz//111+4cOFCLWZkup49e6JNmzaC4zt37pT8d3bjxo2SxiMiMgcLV4iIiKhRUBjRdUVnxKlY7LpCo31aYVm4P2wV0r5U/ub8Vbx2PBml1TWSxiUiIiIiIiIiIqKmyVDHlMjISMENZz169DB4QrQphDaOnTp1SnTTGwCEhYVZtHbfvn3h7+8vOL53717s3bvXojWagnXr1iE3N1eSWBUVFfj4449F5zzyyCMmx23dujU8PDwEx/fs2WNyTCHffPMNMjIyJItHJLXHHntMdPzzzz+X7HcaAN5//33RLi6DBg0S3TQvxN3dXXAsLy9P8m5QVP81pvu62M/35cuXJV/P0O/g0aNHJVvr22+/xbFjxySLV9uuXr0qOGbKc5lCoRCdb43vs7V98skn+O233wTHFQoFVq5caXbHRKlMmDBBcEyr1WL+/Pn1uuONTCbDQw89JDien5+P1atXS7beH3/8gZMnT0oWj4jIXCxcISIiokZB0asb0MxBdI7uchagFD8dg4UrBACD2rTA5/d0hYuN+af86XP0WgGmHDqHrNL6+wYJERERERERERERNQyGCj6OHj2KM2fO6B0TO6HYHCEhIXofv3r1Knbt2iV6raECHGO8/PLLgmM3T42Oj4+3eB1jaYw4SKu+KSsrw7JlyySJtWbNGtENof7+/ggPDzcrttjPS3x8PI4cOWJW3FslJSXho48+sjhOYzVkyBD4+/sL/m/37t11nWKTMHToUHh5eQmOl5WV4d1334VOp7N4rd9//x0HDx4UnfP888+bFbtjx46i49HR0WbFpYatsdzXO3ToIDgWFRVlbjqCOnbsCDs7O8Hxb7/9VpJ1UlNT8eGHH0oS606FhYVWiXur06dPixb2Gerwdqfa/j5b0/fff4/169eLznnjjTdw77331lJGwu677z4EBgYKjp87dw4LFy6sxYxMf6545plnRDsQbt++HYmJiZamhZKSEr62JaJ6g4UrRERE1CjIVEoow4PFJ2l1gFtz0Sm69ExoC4okzIwaqkA3J3w5uDvaNhNuE2yOtOIKTD4Yh9PXpW3rSkRERERERERERE1Lq1atRDfKJSQkoKqqSu+YFMUitxIrhDl9+rTgmIODgySnNQ8ePBgDBgwQHK+oqMBzzz0nSVGDmIyMDCxZsgTz58+36jrW8ttvv2HTpk0Wxdi7dy+++OIL0TkvvPCC2fHvu+8+0fElS5agoqLC7Pjp6emYOXOmaGcJovpAoVBg+vTponP+/vtvrFy50qJ1oqOjDW78HTBgAIKDDXxOK6BDhw5wdHQUHGchVNPUWO7rXbt2FRw7d+4czp8/b25qetnY2AgWEwM3uvH9/PPPFq2RkZGB5557zqJ7rZjnnnsOCxYsQGpqqlXiazQa0a5wMpnM5G6AYt/nw4cPIy8vz6R4deXw4cN49913RedMnjwZzzzzTC1lJE4mk2HhwoWQy4W3QO/ZswevvPIKysrKrJaHRqPBnj17MGrUKKSkpJh0raenp2gXwurqasyaNcuiDmpqtRovvfQSsrKyzI5BRCQlFq4QERFRo6Ho3xuQGZhUbLidtJZdV+j/6+Bkjy8Gd0eX5s0kjVuorsGswwn4JT1H0rhERERERERERETUtJhTgKJSqdCrVy9J8+jYsSM8PDxMvi44OBhKpTSdrz/44AO4uroKjhcUFGDKlClYuXKlpJstNRoN/v33X7z44osYPnw4tm7divLycsni17Zly5Zhw4YNZl37008/4dVXXxXt8NCrVy888MAD5qaHwYMHi36f09PTMX36dFRWmt75PDo6Gk899RQyMzPNzo+oNj3yyCOim9QBYMOGDXjnnXfMKsb6+++/8fzzz4s+Z9rY2GDRokUmx75JLpeLFr388ccf2Lp1q9nxqeFqDPd1scJenU6HefPm4cqVK+amqtfAgQNFxxctWoR//vnHrNjHjh3DmDFjRLuqWaqmpga7d+/G/fffj8mTJ+PPP/+UrJi0srIS8+bNE+2C0q9fP7i5uZkUV+x5uLy8HK+++mqtdJKxRGJiIl588UXU1NQIzhk+fDhee+21WszKsODgYIMdv3777TeMHj0aZ8+elXTtnJwcbN68Gffddx9efvlls7tAzZ07Fw4ODoLjmZmZGDduHNLT002OXVJSgpkzZ1q9yI+IyBTSvANEREREVA/I3ZpD3s0P2nMipxhUVAIKOaDRCk7RnEmA8l7zWtRT4+NmZ4O1A7th4ckUHL9WKFncGp0O70en4mJxOWYFdoRCZqjqioiIiIiIiIiIiOh2oaGh+OGHH0y6pnv37rC3t5c8l5CQEPz+++8mXWPqidZiPD098dFHH2HGjBmCm+50Oh3Wr1+PHTt24Omnn8YzzzwDd3d3k9eqqKhAZGQk/vrrL+zfvx8FBQWWpl9nvLy87toIt2LFCpw6dQpvvPEGvLy8DMbIycnBxx9/bPAUd5VKZfAkb0Ps7Ozw9NNPY82aNYJzTpw4gbFjx+LNN980qgtERkYGPv30U+zZs+euoptu3bqZvRGRyNpkMhkWL16M0aNHi26s//bbbxEdHY3XXnsN99xzj8G4mZmZ+Oyzz4zqzDB37lx06tTJpLzvNGzYMBw+fFhwfMmSJfjuu+8wfPhwdOnSBa1bt4aDgwNsbGwEr3F2doazs7NFeVHdagz39cDAQLRq1QrXrl3TO56YmIiRI0ciIiICYWFh8Pb2hrOzMxwcHCAT+ey4Xbt2gmOjR4/GmjVrBAsl1Go1XnjhBUyaNAkvvPACmjdvbvDrSEtLw5o1a/Drr7/eNWZnZ4eAgADExsYajGOqY8eO4dixY3BxcUFERAQiIiLQt29f0S5N+tTU1OCPP/7AqlWrDG7+nzJlisl5Dhw4ELa2toKdDo8fP46hQ4di+PDhCA4ORqdOneDk5AQ7OzvB77NSqUSrVq1MzsVcW7ZsEe1K0qlTJ8ydO7dWunaY+vw9Z84cxMbGIjIyUnDOxYsXMWbMGISHh2Py5MkYMGCAaKcWIZcuXcL+/fvx119/ITY2VrRY21geHh54+eWXsWTJEsE56enpGD16NF566SU8+eSTUKlUBuMePHgQ77//PjIyMu4a69ixIy5dumRR3kRE5mLhChERETUqygF9oBYrXAEAOzugTPjNW21aBnSFxZC58s1MusFeqcDy8AB8dDoNP0vcJWX7+au4WFyBJWG+cFTx5TkREREREREREREZz5zCD0On85vLnMIVczrGiBk0aBDeffddvPHGG6LzCgsLsWbNGqxduxa+vr7o3bs3evbsiRYtWsDV1RXOzs7QarUoKSlBcXExSktLkZmZiaSkJCQmJiI9PR1arfABWQ3J5MmTsWXLFly4cOG2xw8fPoyjR49i0KBBiIiIQI8ePdC2bVvY29ujqqoKV69eRUJCAg4ePIi//voL1dXVBtd65ZVXEBAQYHHOzz33HHbs2IG8vDzBOQkJCXj66acRFBSEe++9F127doWbmxvs7OxQUFCA/Px8JCYm4p9//sG5c+f0bjzs2rUrXnrpJYMneRPVJW9vbyxduhRz584VnZeSkoLnn38e3t7eGDp0KHr06IH27dvDwcEB1dXVyMnJQUpKCo4cOYLjx49Do9EYXPu+++6T5Pfj/vvvx/Lly1FUVCQ458KFC3c9T4mZNWsWZs+ebXFuVLca+n1dJpPhqaeewqeffio4p7KyEnv27MGePXuMjpucnCw45ujoiOeeew4rVqwQnKPT6bBp0yZs374dQ4cORUhICPz8/ODi4gJbW1uUl5cjKysLiYmJOHr0KE6fPi0Y65VXXkFCQoJVClduKioqwu7du7F7927I5XL4+/ujW7du6Ny5M9q1awcPDw84OjrCxsYGarUaFRUVuH79OtLS0hAfH48jR46IPr/c9OCDDyI83PQDTh0dHfHwww9j586dgnNKSkrwww8/GF1w3rZtWxw4cMDkXMxlqADj4sWLuP/++2slF1Ofv1UqFdasWYOnn34aKSnie4VOnDiBEydOwNnZGcHBwejduze8vLzg4uICFxcXODg4oLS0FCUlJSgpKUFBQQFSUlKQlJSE5ORko36OzDFu3DgcPnxYtIiztLQUixcvxvr16/HQQw+hX79+8PX1RfPmzSGXy1FcXIyLFy8iKioKv/32m+C/xZgxY1BTU8PCFSKqM9wZR0RERI2KPMAHMvfm0F0XOQVFpGjlJs2ZRCgHSXfSGzV8SrkMC4K94elgiw0Jd59KYYkT2YV47uA5rOgXgHaOdpLGJiIiIiIiIiIiosarVatW6NChAy5fvmz0NX369LFKLqbGdXBwQPfu3SXP4/HHH4dcLsebb74peEL7TTqdDikpKUhJScG3334reS4NgUqlwscff4ynn376ro4NWq0WBw8exMGDBy1e59FHH8Wzzz5rcRzgxgbRd955x+CmRp1Oh5iYGMTExJi8hoeHB1atWlUrJ4sTWWrEiBF444038P777xucm5aWhg0bNli8ZlhYGD7++GOL4wBAs2bNMHPmTHzwwQeSxKPGpaHf18ePH4/vvvtOsOuKNUycOBF//vknzp07JzqvqqrK5KKZWz300EMYP348FixYYNb15tBqtUhMTERiYqKkcf38/CzqCjdz5kzs2bNHtPsVWY+TkxO2bNmCadOmGVVEVVxcjEOHDuHQoUNWz80YMpkMK1aswFNPPYXU1FTRuTk5Odi4cSM2btxo8jqdO3fG66+/LtrdhYjI2kzvd0VERERUj8nkcigGGPHhmEhrXQDQxLLtO91NJpPhuS7tsKi3DxTiP0ImSy+pwOSDcYjJtc4pHURERERERERERNQ4mdK1RKFQoHfv3lbJw9fXF66urkbPDw4OhlJpnbM2R40ahQ0bNsDd3d0q8RubLl264OOPP7ba92Po0KGSb5AbNmyY1TqhtGjRAl999RXatWtnlfgNnaGN43Z2PKCrLkyYMAFvvfWW1X6PbzV48GCsW7dO0u/1+PHjMXToUMniUePSkO/rjo6OWLlyJWxtbWttTVtbW6xZswYeHh5WW2PQoEFYunQpZAb2XTQEAQEB2LRpExwdHc2O0bp1ayxduhRyObfj1pXmzZtj8+bNePjhh+s6FbM4Ozvjyy+/RMeOHa0S393dHevWrbPo55yISAq8UxIREVGjowzrBagMvClr4A0Ubdpl6IpKpEuKGpWHvDywsl8X2CukfTldpK7BrCOJuFRSIWlcIiIiIiIiIiIiarxMKVwJCAiw2mYlmUxmUlFMWJh1u573798fv/zyC4YNG2bVde6kUqng6+tbq2tKISIiAp9//jns7e0ljfvEE0/gs88+g0qlkjQuAMybNw8TJkyQNGbnzp3x/fffN8jvYW3IyclBdna24LinpyciIiJqMSO61TPPPIMvv/zSapvVlUolZsyYgbVr18LBwUHS2HK5HJ9++inGjh3bKDbCk/Qa8n29d+/e+Prrr9GmTRuJsjLM09MTmzdvhpeXl+Sxx44dizVr1ljl3l6bZDIZxowZg2+//VaSoqgRI0Zg9erVJhVyk7Ts7e2xfPlyfPzxx3Bzc6vVtdu2bQtnZ2eLYrRp0wbffPMNAgMDJcrqhg4dOuDbb79F+/btJY1LRGQOFq4QERFRoyNr5gBFcHf9gzYqKPr1hnLkIPEgOkBzRtr2stS49G3linWDuqGFrbRvyD3u44mOTtJ+MEhERERERERERESNlykFIKYUuZijTx8jOqL/f9bOBQDc3NywatUqbN26FSEhIVZdq2vXrli4cCEOHz6Ml156yaprWcvgwYOxY8cOdOvWzeJYrq6uWL58ORYvXgyFQiFBdvq98cYbWLp0KZycnCyKI5fLMX78eHz//ffc1CfixIkTouPTp0+v1a4CdLfw8HDs3bsX48aNk3RTee/evfHDDz9g7ty5VusooFKp8M4772DHjh0YNmxYg98UT9JryPf1oKAg7NmzB/Pmzau1jl4+Pj7YtWsXRowYIUm8Vq1aYdWqVXjnnXes1t1p3rx5ePzxx9GyZUurxL8pMDAQ33//PZYsWSJpIV5ERAT++OMPTJs2zepfAwl76KGH8Ndff2HatGkWF5OIcXBwwKhRo7Blyxbs378fbdu2tThmy5YtsX37dkyePFmS37MHH3wQ33//PTp06GBxLCIiKVi/PyQRERFRHVDe0weak7H//bfMww3Ke/pAEdoLMns76CoqUfPHYUCjEYyhiY2HcqD1PzijhiuguSM23tsdLx5NxKXSSovj9fV0wZxAL8sTIyIiIiIiIiIioiajVatW6NChAy5fvmxwrrU3eRpbuOLg4IDu3QUOoLKC0NBQfPPNN0hMTMQPP/yAffv24dq1axbFdHZ2RlhYGMLDw9G/f3+rnGheF/z9/fH999/jxx9/xJdffon09HSTrnd2dsaYMWPwwgsvwMXFxTpJ3mHUqFEYOHAgNm7ciO+//x6lpaVGX6tUKjFixAhMmTIFAQEBVsyycfj3338Fx9q1a4fHH3+8FrMhIY6OjnjzzTcxdepUbNu2Db/++iuuXr1qchw7Ozvce++9ePrpp2ul2PCmnj17YtWqVSgpKcHJkydx+vRppKamIisrC/n5+SgtLYVarYZWq621nKh+aaj3dQcHBzz//PN4/vnnkZSUhMjISCQmJiI9PR05OTkoKipCZWUlqqurJVvT0dER//vf/xAbG4t169bh0KFD0Ol0JsXw8fHBM888g8cee0xvkUfLli3RqVMnvdeaWrwxYMAADBgwADqdDvHx8Th69ChiYmJw5swZFBYWmhTrTi4uLhgxYgQefvhh9O7d22rdnZo3b46XXnoJc+fOxZkzZxAdHY2kpCRcvnwZ169fR2FhIdRqtaTfZ7qbo6MjXnrpJUybNg2//vorfv/9d5w6dQo1NTVmx5TJZPD390e/fv0QHh6O0NBQ2NnZSZj1DTY2Npg/fz4ef/xxfPbZZ9i3b5/JeYeFhWHatGno16+f5PkREVlCpjP1lQgRERFJIjk5GYsWLbrtsSVLlsDf37+OMmp8qlZ+Cbg4QXlPH8h9O931xkPV+u3QxqcIB5ABdotfhczZ0cqZUkNXVFWNV08k42xeidkxvJzssfHe7nBUsbaciIiIiIiIiIiIyJp0Oh2Sk5Nx9uxZnDt3DhkZGbhy5QoKCwtRWVkJtVoNOzs7NGvWDM2aNYOTkxPat28Pb29v+Pj4wMfHB76+vlbrOlBfaLVaxMbG4uDBg4iNjcX58+dRUFBw2xyVSoWOHTsiMDAQ99xzD4YMGQJ7+7rrKl5VVYUjR478txk4IyMDhYWFqKqqgq2tLRwdHdGmTRv4+fmhT58+GDx4cK0V2DQGQ4YMQVZWlt6xZcuW4bHHHqvljMgYOp0OcXFxiI6Oxrlz53Dp0iVcu3YNZWVlqKyshFKphIODA9zc3NC+fXv4+fmhd+/eCAkJgaMjPyel+o/3deNdu3YN//77L06ePImUlBQUFhaisLAQFRUV//0btWnTBp06dULXrl0xYMAAeHt713XaAIC0tDQkJCTg0qVLuHz5Mi5fvoy8vDyUl5f/93xmZ2cHJycnODo6wsXFBb6+vggICEDXrl3RtWtX2NjY1PWXQXWouLgYMTExiIuLw/nz53HlyhVkZ2ejrKwMVVVVkMlk/z1PNGvWDG5ubvD29v7vucLf3x8tWrSo9byzs7Px999/49ixY0hKSsLVq1dvK0CTyWRo06YNfH19ERoaiiFDhggWkxER1TUWrhAREdURFq5Yn06jgUyk/XxNZCyqt/0kGkM15gEo7zHuhDhq2io1GrwdeQGHruSbfK2zjRJf3dsd7R3r7sM8IiIiIiIiIiIiIiJDqqqqUFZWBrVaDXt7ezg6OkIh8lkMNR6XL1/Gfffdp3fM29sbv/32G38WiIiIiKxMrVb/133Mzs4Ojo6OUCp5QCoRNQyNv0yYiIiImiyxohUAUHT3BxTiL4c0sfFSpkSNmJ1CgQ/6+mGMTyuTrpPLgKVhfixaISIiIiIiIiIiIqJ6z9bWFi1atECrVq3g4uLCQoUm5N9//xUcmz17Nn8WiIiIiGqBjY3Nf6/HXV1dWbRCRA0KC1eIiIioyZI52EPu7yM6R3vhEnQlpbWUETV0CpkMr/T0wlOdW5t0jUous2JWRERERERERERERERElhEqXAkICMDIkSNrORsiIiIiIiJqaFi4QkRERE2aoldX8Qk6HTRnk2onGWoUZDIZXuzREU8Y2XmlWqvDi8cScTavxMqZERERERERERERERERmUeocOXFF1+ETMYDuoiIiIiIiEgcC1eIiIioSVME+gNy8ZdEmtiEWsqGGguZTIaXe3rhcW9Po+aX12gx92gi4li8QkRERERERERERERE9UxKSgry8vLuerxXr16499576yAjIiIiIiIiamhYuEJERERNmqyZA+R+nUTnaM9fhK60rJYyosZCJpPh1V6dMNro4hUN5h5NRHy+ccUrNVotFvybjKicIkvSJCIiIiIiIiIiIiIiEiXWbYWIiIiIiIjIGCxcISIioiZPEdRNfIJWB83ZpNpJhhqVm8Urj3UyrnilrEaDOUcTkZBfanDuyjPpOJCVjzlHE7Ar9ZqlqRIREREREREREREREel14sSJux4LCwtDeHh4HWRDREREREREDRELV4iIiKjJU/QIAOQy0Tma2IRayoYaG7lMhteCOuERLw+j5pdWazDnaAISC4SLV3amXsOutGwAgEYHfBR7EctPp6FGq5MkZyIiIiIiIiIiIiIiIgDQaDSIioq663F2WyEiIiIiIiJTKOs6ASIiIqK6JmvmALlvJ2iT0wTnaFPSoCsrh6yZQy1mRo2FXCbD68He0AH4JT3H4PySag3mHEnAqnu6IqC5421jJ7ML8cmZi3dd80NaNi6XVuL9MD842/BlPhERERERERERERERWU6hUODUqVN1nQYRERERERE1cOy4QkRERARA3rWz+AStDpqzSbWTDDVKcpkMC4K98WDHlkbNL67WYPaRBCQXlv332OWSCrxxMgUagcYqkTlFmHwwDpdKKqRImYiIiIiIiIiIiIiIiIiIiIiIiMhiLFwhIiKiJkun00F7KRPqbT+i5tf9BudrYhNqIStqzOQyGd7o7YMHTChemXUkASmFZShW1+CV40koqdaIXpNRWonnDsYh9nqxFCkTERERERERERERERERERERERERWURZ1wkQERER1TadWg1N9DnUHD0FXcZVo6/TJqdBV14BmYO9FbOjxu5m8YpWp8Pey9cNzi9W12DWkQQ87OWBy6WVRq1RUq3BnCMJWBLmh4FtWliaMhEREREREREREREREREREREREZHZ2HGFiIiImhTtpUxUvrUS1d/+YlLRyo2LtdDEJVknMWpSFDIZ3gzpjBHt3Y2aX6SuwS8XszHOt43RL+CrtDrMP5GMny9mm58oERERERERERERERERERERERERkYVYuEJERERNiqy1B6Az/3pNbIJ0yVCTppDJ8FafzhjW3s2o+UXVGuy5nIN5QZ3goFQYdY0WwAcxadiYmAmdzoIffCIiIiIiIiIiIiIiIiIiIiIiIiIzsXCFiIiImhSZjQ0UYb3Mvl6blApdeYV0CVGTppDJ8HaIL4a2M654paCqBhsSMvFun85o28zW6HU2JGRgeexFaFi8QkRERERERERERERERERERERERLWMhStERETU5CgHhJh/sUYLzblk6ZKhJk8pl+HdPr6IaGts8Uo1lsak4Z0QXwS7Oxu9zq60bLxxMgVVGq25qRIRERERERERERERERERERERERGZjIUrRERE1OTIPdwh9/c2+3pNbIKE2RDdKF55L7QzhrRtYdT8/KpqvH4yGa/28sIDHVsavc7BrHy8eDQRJeoac1MlIiIiIiIiIiIiIiIiIiIiIiIiMgkLV4iIiKhJUt4Tava12sRU6CoqJcyGCFDK5Vgc6ovBbYwrXsmrrMaco4mY6NcGE/3bGr1OzPViTDscj9wKtbmpEhERERERERERERERERERERERERmNhStERETUJMm7+ULW3Nm8izUaaM6lSJsQEW4UrywJ88WgNs2Nmn+9shozjyTgwY4t8UpPL8iMXOdCUTmmHDqHSyUV5idLREREREREREREREREREREREREZAQWrhAREVGTJFMooOgXYvb1mth4CbMh+j8quRzvh/nhntbGFa/kVlZjxpEEhLdyxZIwX6jkxpWvXC2vwpRD53Auv8SSdImIiIiIiIiIiIiIiIiIiIiIiIhEsXCFiIiImixleDCgMO/lkDbxAnSVVRJnRHSDSi7H0r4mFK9UqDHjcAICXB3xaf8ucFAqjLquSF2DmYcTcPxagSXpEhEREREREREREREREREREREREQli4QoRERE1WTJnRyh6dTXv4hoNNPEp0iZEdAuVXI4PwvzQv5WrUfNzKtSYcTgerR1ssW5QN7SwVRl1XaVGi1ePJ+H3S7kWZEtERERERERERERERERERERERESkHwtXiIiIqElTDOhj9rWa0/ESZkJ0NxuFHEv7+iPc09Wo+dkVasw4Eg8nlQJfDu6Ods3sjLpOowPejbqArclZ0Ol0FmRMREREREREREREREREREREREREdDsWrhAREVGTJvfuAFkbT7Ou1SZegK6qSuKMiG5nq5Djw3B/9PV0MWr+tXI1ZhxOgEwGfDG4OwJcmxm91upzl/Hp2UvQsniFiIiIiIiIiIiIiIiIiIiIiIiIJMLCFSIiImrSZDIZlPeY2XWlugaa+PPSJkSkh61Cjo/CAxDqYVzxytXyKkz7Jx5lNTVYO6gbwoy8DgC+u3AVb586j2qt1tx0iYiIiIiIiIiIiIiIiIiIiIiIiP7DwhUiIiJq8hQhgYCdrVnXamITJM6GSD9bhRzL+/kbXbySXaHG9H/ikVOuxor+ARjR3t3otf7KyMOK2HQzMyUiIiIiIiIiIiIiIiIiIiIiIiL6PyxcISIioiZPZmsLRWhPs67VxqdAV6WWOCMi/ewUCiwP90dIS2ej5udWVmP64XhcLqnE230642nf1kZd19JOhYn+bS1JlYiIiIiIiIiIiIiIiIiIiIiIiAgAC1eIiIiIAADKAX3Mu7C6BtqE89ImQyTCTqnAin4B6G1k8Up+VTVmHI7HhaJyzO3hhTmBHUXnO6oU+HRAF7RuZl4XIiIiIiIiIiIiIiIiIiIiIiIiIqJbsXCFiIiICIC8VUvIfb3MulYTmyBtMkQG3CxeCXY3rnilUF2DmYfjkVhQimf82uCdPp2hkMnummcjl+Hj8AB0dmkmdcpERERERERERERERERERERERETURLFwhYiIiOj/U94TatZ1mvgU6NRqibMhEmevVGBFf+OLV4qrNZh5OAFxeSUY2aElVvTzh73i//4ckAN4L9QXQUZ2ciEiIiIiIiIiIiIiIiIiIiIiIiIyBgtXiIiIiP4/eaA/4OJk+oXqamgTL0ifEJEBDkoFPukfgFAPF6Pml9VoMOdoAk5fL0Z4q+ZYM7AbXG2UAIB5QZ1wb1s3a6ZLRERERERERERERERERERERERETRALV4iIiIj+P5lCAWW/3mZdqzmdIHE2RMaxUyrwcb8AhHu6GjW/vEaLF48mIiqnCF1bOOKLwd3xUg8vjPJuZd1EiYiIiIiIiIiIiIiIiIiIiIiIqEli4QoRERHRLZT9ggG56S+RNOeSoauutkJGRIbZKuT4KNwfA1s3N2p+pUaLl48l4t9rhejgZI+nfFtbOUMiIiIiIiIiIiIiIiIiIiIiIiJqqli4QkRERHQLmYszFD0CTL9QXQ1tykXpEyIyko1CjqV9/TCkbQuj5ldpdXj1RBKOXi2wcmZERERERERERERERERERERERETUlLFwhYiIiOgOinv6mHWd5mySxJkQmUYpl2NxqB+Gt3c3an61Vof5J5JxKCvP7DUT8ktRXqMx+3oiIiIiIiIiIiIiIiIiIiIiIiJq3Fi4QkRERHQHeWcvyFq1NPk6zblk6LRaK2REZDylXIa3+3TGAx2N+xmu0emw8GQK/s64bvJaiQWlmHkkHs8eiMOFojKTryciIiIiIiIiIiIiIiIiIiIiIqLGj4UrRERERHeQyWRQDjCj60pJGbTpmdInRGQihUyGRb198GgnD6Pma3TAW5Hn8fulXKPXyCitwEvHElFeo0V6SQUmH4jDzxezodPpzE2biIiIiIiIiIiIiIiIiIiIiIiIGiEWrhARERHpoejTA7C1Mfk6bVySFbIhMp1cJsPrQd4Y49PKqPlaAO9FXcAv6TkG5+ZVqjH3aCIKqmr+e6xKq8MHMWl469R5lFbXiFxNRERERERERERERERERERERERETQkLV4iIiIj0kNnb3SheMZHmbBI7TlC9IZPJ8EpPLzzt29qo+ToA70enYlfqNcE5pdU1eOlYErLKqvSO/5WRh4n745BcWGZOykRERERERERERERERERERERERNTIsHCFiIiISIByQJ//+w+VEoq+QZAHdxe9RpebD921XCtnRmQ8mUyGOYEdMcm/rdHXfBR7Ed+dv3rX42qNFq+fSDFYlJJZVonnDsZhZ+o1FnIRERERERERERERERERERERERE1ccq6ToCIiIiovpK38YQitCfkbVtBEdYLMgd7aFIuQh1zTvQ6TVwS5K09ailLIsNkMhmmdWsPlUKGLxIyjbrmk7PpqNZqMf6WgpfV5y7hVG6RUddXa3X4OPYionKKsKi3D5xs+KcHERERERERERERERERERERERFRU8SOK0REREQibMY9BuW94ZA52AMA5D4dAAc70Ws0Z5NqIzUik8hkMjzfpT1mdO9g9DWrz13GxsT/K3QZ59cGgS0cTVr30JV8jN9/FvH5JSZdR0RERERERERERERERERERERERI0DC1eIiIiITCBTKKDo7i86R3f5CnQFxnWlIKptE/3b4sUeHY2evyEhA+viL0On08HD3hbrBnXDeL82Jq15tbwKUw7FY3vKFeh0OlNTJiIiIiIiIiIiIiIiIiIiIiIiogaMhStEREREJlIEBhicozmXXAuZEJlnrG8bvNqrk9HzNyVl4fNzN4pXlHI5ZgV2xCf9A+BqozQ6hkanw//iLuHV48koqqo2J20iIiIiIiIiIiIiIiIiIiIiIiJqgFi4QkRERGQieYAPoBLfsK85m1RL2RCZZ4xPKywI9obMyPlbU67gk7Pp/3VM6deqObYO7YEgdyeT1j16rQDj9p/FmevFJmZMREREREREREREREREREREREREDRELV4iIiIhMJLO1gdzfR3SO9nw6dOUVtZQRkXke7eSJN0N8jP6jYMeFa1geexHa/1+84mFvi9X3dMPkgLZGF8AAQE6FGtMPx2NzUtZ/sYiIiIiIiIiIiIiIiIiIiIiIiKhxYuEKERERkRkUPQLEJ2i10CReqJ1kiCzwQEcPvBPqC4WRlSe70rKxNCYNmv9fcKKUy/BCtw74bEAXtLBVGb2uRgesjb+MF48mIr+y2pzUiYiIiIiIiIiIiIiIiIiIiIiIqAFg4QoRERGRGRTd/ACZ+E5/7dmkWsqGyDLD27tjSZgfFAZ+pm/6JT0Hi6MuoEb7f91SQj1dsW1oD/Rp6WLS2idzijBu/xlE5RSZdB0RERERERERERERERERERERERE1DCxcISIiIjKDzKkZ5N7tRedoEs5DV11TSxkRWWZIWzcs6+sHldy44pW9l6/j7VPnUaPV/veYm50N/ndPF0zr1t6kPzTyKqsx+0gCvkzI+K+TCxERERERERERERERERERERERETUOLFwhIiIiMpM8MEB8QpUa2vMXaycZIgkMbNMCy8P9YWNk8cq+zDy8cfI8qm8pXlHIZHg2oB3WDOyGlvY2Rq+tBfBFYiZmH0lAboXa1NSJiIiIiIiIiIiIiIiIiIiIiIionmLhChEREZGZFIYKVwBozibVQiZE0glv1Rwr+3eBrcK4PxUOXcnHopPnob2jU0pQS2dsi+iBcE9Xk9aPzi3G+P1n8G92oUnXERERERERERERERERERERERERUf3EwhUiIiIiM8lbtgBauYvO0cQlQXdLNwqihqCPhws+7R8AexOKV9bGX77rcVdbFVb2D8Cs7h2gkBnXxQUACqpqMPdoItacu4warc7wBURERERERERERERERERERERERFRvsXCFiIiIyAzaqzlQ7/gVyM0Xn1hSBu2lrNpJikhCwS1d8L8BXeCgVBg1f0vyFfx+Kfeux+UyGcb7t8X6Qd3QysHGpBy+Ts7CjMPxqGbxFxERERERERERERERERERERERUYPFwhUiIiIiE2nTM1G1dA00x6IBjeEN9dqzSbWQFZH0ero7Y/U9XeCkMq545YOYVMTllegdC3RzwtaInhjUprlJOXRt7giVnH+2EBERERERERERERERERERERERNVTcAUZERERkIlmHNpB5uBk9X3M2ETqdzooZEVlPtxZOWH1PVzjbKA3OrdbqMO9EMq6VV+kdd7ZR4sO+/ni5pxeUMpnBeF2bN8PMwA4m50xERERERERERERERERERERERET1BwtXiIiIiEwkk8uhHBhq9Hxdbj502detmBGRdQU0d8TagV3R3NZw8UpBVTXmHU9CRY1G77hMJsOTnVvjy3u7o20zW8E4jioF3g/zY7cVIiIiIiIiIiIiIiIiIiIiIiKiBs7wzjMiIiIiuositBeqf90PVKmNmq+JS4K8VUsrZ0VkPZ1dmuHT/l0w9Z94VGm0onNTisrxzqkLWNrXD3KBzipdmjtiS0QPLI1Jw77MvLvGFwb7oE0zO0lyJyIiIiIiIiIiImoIhgwZgqysLL1jS5cuxahRo+pVXDLfyZMnMWHCBMHx5ORks2P7+/sLjm3ZsgVhYWFmxyYiInG855I5xo8fj8jISL1js2bNwuzZs2s5IyIiIuvg8cVEREREZpDZ2ULRN8jo+ZqzSVbMhqh2BDR3xNshnY2ae+hKPjYkZIjOcVQpsSTUF/ODvGEj/78Cl9Henoho52ZRrkRERERERERERERERERERERERFQ/sOMKERERkZmU94RC889Jo+bqLmVBV1QMmYuzlbMisq6Idm6YUtwOXyRmGpy7KSkLnZwdMLy9u+AcmUyGUd6eCHRzxBv/psBWIcfcHl4SZkxERERERERERNQwXLp0Cb/88ovguI+PD+6//36r5rBhwwZUVVUJjstkMrzwwgtQqVRWy+Gff/7B2bNnBccHDRqEHj16WG19IiIiIiIiIiKSHgtXiIiIiMwk93CDvGtnaBMuGDVfE5cM5YA+Vs6KyPqe69IOF0sqsC8zz+DcJVEX0K6ZLbq1cBKd5+vSDJsjeqBYXQNbBRtDEhERERERERFR02Nvb4/Vq1cLjrdt29aqhStZWVlYsWKFwXnh4eHo3bu31fJYv349oqOjBcf79etntbWJiIiIiIiIiMg6WLhCREREZAHlwDCojS1cOZvEwhVqFGQyGd7s7YOsskokFpSJzlVrdZh3Ihmb7g2Ep4Ot6FwHpQIOSoWUqRIRERERERERETUYHh4e8PLyQnp6ut7xrKwsXLlyBW3atLHK+pGRkUbNO3XqlNUKVyorK0W7rdjb27PbChERmaW4uBhff/214PjEiRPh7OxcixmRNWRmZuLHH38UHJ89e3YtZkNEREREt2LhChEREZEF5AE+kLVsAV1uvsG52vMXoauohMzerhYyI7IuO6UCH4X749kDcbheWS06N6+yGq+dSMb6Qd1gZ8XClP+dTUcvd2cMatPCamsQERERERERERFZU1hYmGDhCnCjuOTRRx+1ytrGFq5ERkZi2rRpVsnh9OnTqK4Wfr8xKCgIKpXKKmsTEVHjVlxcLNrZ7LHHHmPhSiOQlZUl+n1m4QoRERFR3ZHXdQJEREREDZlMLodyYJhxkzVaaBLOWzcholrkYW+L5eEBsJXLDM5NKizDe1Gp0Op0Vslld9o1bD9/Fa+dSMZXiZnQWWkdIiIiIiIiIiIiawoNDRUdN7a4xBynTp0yat7p06dRU1NTJzkY+vchIiIiIiIiIqL6iYUrRERERBZShPYEbG2MmquNS7JyNkS1q2sLRywK6WzU3P1ZefgqMVPyHE7nFuPj2PT//nt9QgbeOHkeFTUaydciIiIiIiIiIiKyproqXLl69SoyMjKMmlteXo64uDir5GHo62PhChERERERERFRw8TCFSIiIiILyeztoAjrZdRcTfx56KqtcxIdUV0Z1t4dkwPaGjX3i8RM7M/Mk2ztq2VVeP3fZGju6LCyPysPUw6dw5WySsnWIiIiIiIiIiIisjYPDw94eXkJjmdkZODatWuSr2tqQYyx3VlMUVVVhTNnzgiO29vbo0ePHpKvS0RERERERERE1qes6wSIiIiIGgPlwFBoDhvxwV6VGtrzF6Ho6mv9pIhq0ZSu7XGxpAIHs/INzn036gLaNLNFl+aOFq1ZUaPBayeSUKjWXwx2vqgczx6Iw9K+fghu6WLRWkRERERERERERLUlLCwM6enpguMnT57EI488IumaphainDx5ElOnTpU0hzNnzkCtVguOBwUFQaVSSbpmfXPgwIG6ToGIiIgswHs5ERERkTB2XCEiIiKSgNzDHfIunY2aq4lLtnI2RLVPLpPh7ZDO8HdtZnBulUaLeceTkFsh/CG0ITqdDoujUpFSVC46r1Bdg1lHErEr9Rp0d3RlISIiIiIiIiIiqo9CQ0NFx63R7USo44pQ95eYmBjU1EjbXdxQ1xdD/y5ERERERERERFR/sXCFiIiISCLKQWFGzdPEJUGn1Vo5G6LaZ69UYHm4P1rYGj71MLeyGq+dSEKlRmPWWpE5RdiflWfUXI1Oh49iL2LZ6TRU83ePiIiIiIiIiIjqOUMFGoYKPEyVnZ2NS5cu6R0T6qpSXl6O+Ph4SfNg4QoRERERERERUePFwhUiIiIiicgDfCBr2cLwxOJS6C5fsX5CRHXA08EWH4X7w0YuMzg3oaAMS6JSzeqEEubpikW9faAyYp2bfrqYg5mHE5BXaX6nFyIiIiIiIiIiImvz8PAQ7HQCAJcuXUJ2drZk6wl1cJHL5Rg2bBi8vb31jktZQKNWq3HmzBnBcXt7e/To0UOy9YiIiIiIiIiIqHaxcIWIiIhIIjK5HMqBxp34pjmbZOVsiOpOoJsT3ujtY9TcvzPzsDk5y6x1HvLywNqB3Yzq8HLTmbwSPHsgDkkFpWatSUREREREREREVBvCwsQ7fEtZNCIUKyAgAE5OTujTp4/Vczh79iwqKysFx4OCgqBSGf8+IBERERERERER1S8sXCEiIiKSkCK0F2BrY3BeTWyC9ZMhqkMjOrTERP+2Rs1dF5+Bg1l5Zq0T6OaEzUMC0aV5M6Ovya5QY+o/8fgr47pZaxIREREREREREVlbaKj4IUlCXVLMIVSAcrNgJSQkRO94TEwMNBqNVXO4ydC/BxERERERERER1W8sXCEiIiKSkMzeDoqwXoYnXs+HNjvX6vkQ1aVp3dpjYOvmRs1959QFJBeWmbWOp4Mt1g3qhhEd3I2+pkqjxZuR5/H5uUvQ6HRmrUtERERERERERGQthgo1Tp48Kck6169fx8WLF0VzEOq4Ulpaivj4eEnyMFSIY+3CFZ1Oh7KyMuTl5eHatWsoLCxEdXW1VdckImpKtFotSktLkZubi+zsbBQXF0tW/NiYaTQaFBcX49q1a8jNzUVJSQl0DehzraqqqtvurVVVVXWdEtVzarUahYWFuHbtGvLy8lBeXl7XKREREZGElHWdABEREVFjo7wnFJrD4qfDAUBNbCJshreshYyI6oZcJsO7ob6YcugcLhSJv6lYqdFi3vEkbBoSCDc7w12L7mSnUOCdkM7wc2mG1XGXoDXyui3JV5BaVI73Qn3hqOKfR0REREREREREVD94eHjAy8sL6enpesfT09ORm5uLli0te49ZqNOJTCZD7969AQCtW7dG27ZtkZWVdde8U6dOoUePHhblUF1djdOnTwuO29vbW7zGrXQ6Hc6ePYvIyEicPn0a6enpyMzMvGszrUwmg6enJzp27Ijg4GD07dsXoaGhkMub1vmg2dnZOHToEGJjY3HhwgVcvXoVZWVlqKqqgoODA1q0aAFvb290794dAwcOlPR7RVQfpaen49ChQ4iLi8OFCxeQm5uLsrIyaDQauLi4wM3NDd26dUNISAiGDx8OR0dHi9YrKyvDwYMHERsbi4SEBFy5cgUlJSWoqKiAnZ0d3N3d0alTJ/Tu3RsRERHw8fGR6Cs1n0ajQVRUFKKiohAbG4tLly7hypUrdxUEKhQKtGrVCt7e3ggODkb//v3Rs2dPSXIoKytDQUHBbY9du3ZN9BpD40KUSiVatWpl1rU3ZWRkIDo6GhcuXEBaWhrS0tKQnZ2td9O+SqX673VCly5dEBISgr59+8Le3t6iHCyRm5uLY8eOITExEQkJCUhLS0NRUZHeIlC5XA5XV1e0a9cObdu2Rfv27dG1a1cEBQWZ/O9YXFyM4uLi2x67fv266DWZmZkmrXGTra2txa+7TJWbm1svin2aN2+OZs2aSR732rVrOH78OGJiYpCUlITMzMy7fm8BwMnJCe3bt0f37t0REhKCwYMHw8XFRfJ8TFFaWorjx4/j2LFjSElJQUZGBkpLS1FdXQ0HBwc4OTmhU6dO8PX1RXh4OMLDw2FjY/pn4ERERI2NTNeQyrCJiIgakeTkZCxatOi2x5YsWQJ/f/86yoikVLVmK7RJqeKT3FvA/q05tZMQUR26WlaFZw/GoaDK8AmF3Vs4Ys3AbrBVmP/h77/XCvFGZApKq40/qaujox0+7heADk5196Y+ERERERERERHRrd566y3s2LFDcHzlypV44IEHLFrjnXfewbfffnvX435+fvj111//++/58+fjp59+umve4MGDsX79eotyiImJwdixYwXH+/fvj6+++sqiNYAbBRjbtm3Dr7/+iqtXr5oVo2XLlhg9ejQmTpyIFi1aWJzTnYYMGaK3QAgAli5dilGjRtVa3BMnTuCLL77A8ePHTTrd39vbG+PGjcMTTzwBlUplVr5CXn/9dfz44496xx577DEsW7ZM0vWAG92NJkyYIDienJxcr+ICEP2sccuWLQgLCzM7dmOQmZmJiIgIwfH9+/ejXbt2tz2m1Wrxxx9/YOPGjTh37pzRa9nb2+ORRx7B3LlzTX7OSE1Nxdq1a/H333+jsrLS6OtCQ0Px8ssvIygoyKT1pJCeno4tW7Zg7969yM/PNytGu3bt8NRTT+Hpp5+2aKP87t27sWDBArOvN0Xbtm1x4MABk64pLS3FwYMHcfz4cZw8eVLwOdpYtra2uO+++zBu3Lha+95rNBr88ccf+PHHH3H8+HFJOuh4enqif//+GDFiBPr162fwPrJq1SqsXr3a4nWNERoaiq1btxqcJ+W9fPz48YJFxrXJktcgd6qpqcFvv/2GnTt3Ijo62qwOQiqVCoMGDcKUKVPQq1cvSfIyVlZWFjZs2IBffvnFpG4wzZo1w5gxY/Dss8/qLdAS+17PmjULs2fPNjtnIiKi+qRpHQVCREREVEuUg4x40/96PnRFJdZPhqiOtW5mi4/C/aGSywzOPZdfig9iUi1qc963lSs23RsILxOKUC6VVuLZg3E4ce3uU3yIiIiIiIiIiIjqQp8+fUTHpdjIeOrUKb2Ph4SEGJVLdHQ0tFpj+x+blsNNoaGhFsUvLi7Ge++9h4iICGzYsMHsohXgxsnn69atQ0REBL788kvU1NRYlFt9lJubi5kzZ2LSpEk4duyYye/VpqWl4b333sNDDz2EqKgoK2VJVHtSU1Px9NNP46WXXjKpaAUAKioq8N1332HkyJH4448/jL7mnXfewUMPPYRff/3VpKIV4Ma9YezYsVi2bFmtPUdlZ2fjlVdewciRI/HNN9+YXbQC3Cgs+vjjjzFkyBDs3r1bwizrnlqtxp9//ok5c+agX79+ePXVV7F7926Li1YAoKqqCr/99hueeuopTJs2DZcuXZIgY2FnzpzB448/jpdffhlHjhyRpGgFuPGztHv3bkydOhX9+/fHlStXJIlL9cPPP/+M++67D/Pnz0dUVJTZnwdXV1dj3759ePLJJzF9+nSzuyWZQqPRYPXq1Rg5ciS+++47k4pWgBtdoDZv3owRI0bg66+/tvj1MxERUUPFwhUiIiIiK5B36Qw4GW79Xf3PyVrIhqju9XBzwoJgb6Pm/nH5OramWPZGdAcne2y8tzv6t3I1+prSag1ePpaErclZFhXOEBERERERERERScFQwYalhSv5+fm4cOGC3rE7C1WECldKSkqQkJBgUR6Gvg5LClf279//30bq6mrDHaGNVV5ejuXLl+OZZ55Bdna2ZHHrWnx8PB599FHs27fP4lgXL17EhAkTLO7IQ1SX9u/fj9GjR+P06dMWxSksLMSLL76IjRs3is5LS0vD448/jm+//daiQgCdTodNmzZh1qxZUKvVZscxxs6dOzFy5Ej89ttvkm7ELiwsxIIFCzBt2jSUlpZKFrcuRUVFYc6cOfjzzz9RVVVltXUOHjyIRx99FL/88ovksXU6HVauXIknn3zS4vu/IUVFRaioqLDqGlQ7srOzMWnSJLz22muSFyMdOHAA999/vySvXYTk5eVh/PjxWLVqlcW/uxUVFfjggw8wc+ZMkwsTiYiIGgMWrhARERFZgUwuh/LevgbnaU6dqYVsiOqHBzp6YJxfG6Pmrjl3GYevmH8iFwA4qpRY3i8AE/3bGn2NFsDqc5fxzqkLqJTodCgiIiIiIiIiIiJzeHp6wsvLS3A8LS0N169fNzu+WMHInYUqHTt2hIeHh965hjqmiKmpqUFMTIzguIODAwIDA02Oq9Pp8Omnn2LmzJkW/RsZEhsbi9GjRyM1NdVqa9SW2NhYjBs3TtJ/L41Gg5UrV2LJkiU8LIganJ9//hmzZs2SbOO8TqfDRx99JNhFJCUlBePGjRMsKDTHwYMHsXDhQsni3aq6uhoLFy7EokWLUFZWZpU1gBtfwxNPPIGcnByrrdEYlZeXY968eQaLpUz11ltvYf369XxOJ6NFR0dj9OjROHHihNXWKCsrw6xZs7B582bJY1+9ehVPP/00oqOjJY174MABTJ482apFbERERPURC1eIiIiIrETZPwSQy8QnFZVAm5NXOwkR1QMzunfAgFbNDc7TAXgr8jzOF1n2YYdCJsOM7h2wJNQXtgrj//z5I+M6XjgUj+xyvllIRERERERERER1x5pdV4QKTry8vNCyZcu7Hg8JCdE7/+RJ8zuLx8fHo7y8XHA8KCgIKpXKpJg6nQ5vv/021q5dWysba3NzczFx4kSkp6dbfS1rycrKwowZM0S/F5bYunUrPv30U6vEJrKG48eP44033pC0g8hNb731FhITE297LDMzExMnTkRenvSfGf7666/4/fffJY2pVqsxe/Zs7Nq1S9K4QlJTUzFx4kTk51t24FlT9NFHH+HHH3+UJNbmzZvx/fffSxKLmoYTJ05g8uTJyM3NtfpaOp0OS5cuxdatWyWLWVRUhMmTJ1vtNV50dDQWLFjAQjAiImpSlHWdABEREVFjJbO3g9ynI7Tn00XnaRLPQ+7hVjtJEdUxhUyGd0M7Y8qhc0grFj+lrEKjxbzjyfjq3kC0sDPtw+k73dfeHe0d7fDaiWRkV6iNuiapsAwTD8RhaZgfglo6W7Q+ERERERERERGROUJDQ0U3iZ46dQr333+/WbGFil6EimVCQkL0bn6Ojo6GVquFXG76uZmGil4MFe7os2zZMuzYscPgPBsbG4SGhiIsLAzBwcFo2bIlXF1d4eDggIKCAuTn5yMuLg6HDh3CsWPHRLsu5ObmYsaMGfj+++/h6Ohocs51SavV4pVXXhHcMO/r64uIiAgEBgaiXbt2cHBwQEVFBa5du4b4+HgcPHgQZ8+eNbjOunXr0LlzZzz00ENSfwlEkrp+/TpeeuklVFdX3zXm5OSEe+65B/3790fr1q3h7u4OhUKB69ev4+LFizhw4ABOnDih99qbqqur8e677+Lbb7+FTCZDZWUlZs2apbcoQ6VSISQkBIMHD4aXlxfc3Nzg6OiIgoICXL16FYcPH8aBAwdQXFws+jUtW7YMAwcOlOT5SafT4dVXX8XBgwcNznVwcEB4eDhCQ0PRq1cvuLm5wdXVFba2tsjPz8f169cRExODf/75BydPnhT9d0tLS8PcuXOxadMmKJWNb7ubm5sbunbtioCAAHTp0gUdOnSAs7MznJyc4OjoCI1Gg+LiYhQXFyM5ORnnzp3DkSNHjOrQ89ZbbyEwMBCdO3c2O7+srCysWLHC4DwXFxf069cPffv2hZeXF9q3bw9HR0fY29sDAEpLS1FSUoKioiKkpqYiJSUFKSkpiImJsVrxJNWNM2fOYNq0aaisrDQ418/PD3379kVYWBg6duwIV1dXuLi4oKKiAnl5ecjIyMDhw4dx8OBBZGVlicb64IMP0KlTJwwYMMCi/LVaLebOnYu0tDSDcx0dHREREYGwsDB4e3vD1dUVOp0OhYWFSE1Nxb///osDBw7o/Rnfs2cPwsLCLMqViIioIWl8r+SJiIiI6hHl/fdC/b9NonN06ZnAoFpKiKgecFQpsaJfAJ49EIdCdY3o3KvlVZj/bzI+v6crbEzomKJPQHNHbB7SA6//m4wzeSVGXVNQVY2ZRxLwYo+OGOPTCjKZgS5KREREREREREREErJWx5WCggKcP39e71ifPn1Mery4uBhJSUno2rWryXkIdX25ydTClV27dmHz5s2icxwcHPDUU0/h2WefhYeHh945Hh4e8PDwQEBAAMaMGYOcnBx89tln2L17NzQajd5rUlNTsXjxYnz44Ycm5VzXvv32W5w7d+6ux/38/LBgwQL069dP73X+/v4YNGgQZsyYgbi4OCxduhTR0dGia73zzjsIDg5G27ZtJcmdyBrefvttFBYW3vaYs7MzZs6ciWeeeUZvF6jOnTujb9++GDt2LC5cuIC33npL9Pfh9OnT+PPPPzFixAgsW7bsrg4sCoUCTz75JGbPno0WLVrcdX2nTp0AAA888AAKCwvx0UcfiXY/yc7OxhdffIGXXnpJ7Es3yqpVq/Dnn3+KzmnevDkmTJiAcePGwdlZ/8FgrVq1QqtWrdC9e3dMmDAB6enpWLFiBf766y/BuJGRkVizZg3mzJljMM9Ro0Zh1KhRtz2WmZmJiIgIwWv279+Pdu3aGYwtFS8vLwwdOhRDhw5Fr169DH4GZW9vD09PT/j6+uLBBx/E66+/jujoaKxfvx7//POP4HVqtRqLFi3Cd999Z3au69evh1otfDCcs7Mz5s6di8cffxx2dnaC81q0aPHfz3SPHj1uy/HEiRM4cOAA/vzzTxQUFBiV1+zZszF79uzbHjt58iQmTJggeE1ycrJRsesDKbuHCElMTMQzzzyDsrIywTkKhcKkmNnZ2Zg5c6bBopV77rkHU6ZMESzcsLGxgYuLC7y9vTFo0CAsXLgQO3fuxOrVqwW7uNwsyN27d6/e509jbdy4ESdOnBCdY29vj6lTp2LChAmChYHBwcEYM2YMSktLsWnTJnzxxReoqqq6bc5HH30Ed3d3s3MlIiJqSCzb+UVEREREohQ+HQF74TfnAEATfx66GvHN+0SNTZtmdlgW7g+lEYUgZ/NKsOx0miRtklvYqfD5wK54tJP+D6T10eh0WHEmHT9dzLF4fSIiIiIiIiIiIlN4enrCy8tLcPzChQt6T+k3JCoqSvD9NqECFV9fX7i6uuodM6eARqPRICYmRnDcwcEBgYGBRse7dOkS3nvvPdE53bp1wy+//IL58+cLFq3o4+HhgSVLlmDdunVwcHAQnPfTTz/h+PHjRsetD/QVrYwZMwa7du0SLFq5U2BgILZt24aZM2eKzistLTX4PSKqa0lJSbf9d3BwMP78809MmjRJb9HKnTp37ozNmzcbPO1/27ZtOHPmzF0dojw8PLBr1y68/fbbRm26dnV1xQcffGDw92/Xrl2ChXfGioqKwpo1a0Tn9O/fH7///jtmzJghWLSij5eXF1atWoWlS5eKdlTZsGGDUV1G6iuZTIZBgwZh69at+PPPPzFv3jwEBQWZfXBa7969sWHDBixfvlz0/nT69GmjuuToo1ar8dtvvwmOt2vXDrt27cK4ceNEi1bE2NjYYNCgQXj33Xfxzz//YPHixRZ1iCHjXLt2DVOnThUtWgkNDcXIkSNNirtgwQLBwhLgxmu85cuX48svvzSp24hCocBTTz2FX375Bb169RKcV1hYiA8++MCUlG+TkZGBzz77THROhw4dsHPnTsyYMcOoblaOjo6YPXs2vv/++7sKeEtLS5Genm52vkRERA0JC1eIiIiIrEzRp4f4hMoqaM+n10ouRPVJkLsz5gd1Mmrunku52H7+qiTrquRyLAj2wfygTlAY+UGAr4sDRnbgSTdERERERERERFT7rNF15eTJk3ofb9euHVq3bq13TCaToXfv3pLlEB8fj9LSUsHxoKAgozaJ37Ro0SLRk72HDx+O7777Du3btzcpz1sNHDgQ27ZtE90cvHz5crPj1wfjx4/HkiVLYGNjY9J1crkcc+bMwWuvvSY679ChQzh69KglKRLVmgEDBuCrr74y+dR+GxsbrF69WvD5FLjRceqll16CVqv977H27dtj+/bt6NKli8m5zpkzB0OHDhUcz83NxbFjx0yOe5NarcYbb7whesjY+PHj8eWXX1rU5WDUqFFYu3atYIeH6upqfPLJJ2bHr0teXl749ddfsWHDBpM7ihny8MMPY926daKFIxs3bjQr9unTpwULG2QyGT755BN06NDBrNj62Nra4oknnsCePXtEi3fJMqWlpZgyZQpycoQP7vPx8cHnn39u0muC3bt3iz7XtGjRAjt37sTDDz9sUr53xvj6669FC2x/++23u7pZGevjjz8W7TDUvn17bNu2Db6+vibHDggIwLZt29CmTRuzciMiImroWLhCREREZGXKgYZPCdHEJRmcQ9QYPdzJE2M7C39wc6tVcZdw9KpxrcGNMcq7FVbf0wWuNsIndwGAs40SH4X7w05pWhtsIiIiIiIiIiIiKRja3Hrq1CmTYwpdI9RtxdB4dHS0yR2TDeVtyqbeAwcOiBbPBAUFYfny5SYXY+jTrVs3vPvuu4LjCQkJZp9qX9f69u2LBQsWWBTjueeew6OPPio6x1DHBqL6oF27dvjf//4He3t7s663t7fHSy+9JDonKyvrv/+vUqmwevVqi4rr5s2bJ1rwJ9Y1w5AdO3aIdgQYPnw43njjDcjllm9FGzhwIGbPni04vn//fiQnJ1u8Tm1r06aNWRvdjRUWFoY333xTcDwqKgoZGRkmxxXb/B8WFoYePQwc4mgBoQImskx1dTVmz56NlJQUwTnu7u7YsGGDSZ2Tqqqq8OmnnwqO29nZYd26dZJ007Gzs8OKFSsEO+jpdDqsXbvW5Lipqan4888/BcdtbW2xZs0aeHp6mhz7pjZt2mDNmjUmFWgTERE1FixcISIiIrIyuYcbZK1ais7RxCVDd8uJSkRNyeweHRHu6Wpwng7Am5HnkVZcLtnawS1dsGlIIHxd9J+QKAewJNQXbZqZ19qciIiIiIiIiIjIUlJ3XCkqKhLcqGiocCUkJETv44WFhSZvIpaycGX16tWCY05OTvj8889ha2trdDxDHn74YYwYMUJw/LvvvpNsrdqiUqnwzjvvSLJJ+PXXX4eLi4vgeHR0NM6ePWvxOkTWIpPJsGzZMjg6OloU54EHHoCrq6tRc+fMmYOAgACL1vPy8sKAAQMEx0+fPm1WXLVajfXr1wuOt2/fHh999BFkRna5N8YLL7yAnj176h3T6XTYsWOHZGs1JqNHjxYsJNHpdNi3b5/JMW8tsLqT1J1jqHa89dZbOH78uOC4vb091q5di3bt2pkUd8eOHcjOzhYcX7hwoeDvtTlatGiBJUuWCI7v378fubm5JsX8+uuvRYuxn332Wfj5+ZkUU58uXbpg0qRJFschIiJqaMSPFiYiIiIiSSh6BKDmmsibIkUl0GVcgayjaW/+EDUGCpkMS8J88dzBc0gvqRCdW16jwZsnz2PTkEDYKKSpw2/TzA5fDO6O96NT8Xdm3m1jM7p3QJgRRTVEREREREREDZmuvAK6opK6ToOaMJmLE2QO5p1o3xR4enrCy8tL8KT78+fPo6CgAM2bNzcq3qlTp6AVOEjJ0AbUrl27olmzZigrK7trLDIy0uhN11qtFlFRUYLjDg4OCAwMNCpWbGws4uPjBcenTZsGNzc3o2KZYvr06fjjjz/0jh05cgR5eXlWWddaxo0bh06dOkkSq3nz5pg1axbef/99wTk//fSTVU/pJ7LE4MGDDRbyGUOpVCIiIgK7du0Snefu7i7ZBubhw4cLdn3KyMhAaWmpyQU5f//9t+jm71deeQV2dtIeACaXyzF16lTMnDlT7/hvv/2GhQsXQqnk1rdbyWQyPPXUU4LFgSdOnMCzzz5rUszycuED5dzd3U2KRXVv9erV2L17t+C4XC7HihUrzLpHf/vtt4Jjfn5+GDNmjMkxDRk0aBC6du2KhISEu8Zqamrw22+/Gf0zr1ar8fvvvwuOe3p64oUXXjA71ztNnz4dP/30k8nFNURERA0ZX70TERER1QJFYABq/joiOkdzNglyFq5QE+WoUmJFvwA8ezAOxeoa0bkXisuxLv4y5vTwkmx9e6UCi0N90aW5I1bHXYIWQERbN4zzayPZGkRERERERET1jSbtMqq/3wPdFeFTcYlqhQyQtfaE6okHoPDuUNfZ1EuhoaGChSs6nQ6nTp3CsGHDjIol1OmkVatWaN++vei1CoUCQUFBOHr06F1jkZGRmDBhglE5JCYmoqREuGAuKCgIKpXKqFg//PCD4Ji7u7vROZkqICAAffv2xb///nvXmEajwdGjR/HII49YZW2pKZVKTJ06VdKYY8eOxZo1a1BQUKB3/I8//sCiRYsgl0tzQBGRlMaNGydZrLCwMIOFK2PGjIGNjY0k6/Xt21dwTKfTISkpSbB7lhCx59kuXbpg5MiRJsUzVkREBDp06IDLly/fNVZUVITY2FiTv5amYPDgwZDJZHq7Rpw5c8bkeGJFSUVFRSbHo7rz008/YdWqVaJzFi5ciIiICJNjR0dHIy0tTXB87ty5VrvnT5w4EfPnz9c79s8//xhduHLkyBHR16fPPvssHBwczMpRn2bNmmHSpElYvny5ZDGJiIjqO74DQERERFQLZO1bAy5OonM0ccm1lA1R/dTO0Q7L+vpBYUQr+e3nryI6V9o3w2UyGZ7xa4P/DeiC4JbOWBTiI2lbeyIiIiIiIqL6RJOUCvWqzSxaofpBB+iuZEO9ajM0Sal1nU29ZKgTSmRkpNGxhApXjN38K9SF4NSpU3o3yZqSw02Gvt6bdDodDhw4IDg+bNgwyTaD6zNgwADBsRMnTlhtXan169cPLVq0kDSmSqXC8OHDBcfz8vL0no5OVNc8PDzQv39/yeL5+PgYnPPYY49Jtl7r1q1FN1ZfvHjRpHglJSWi95gHH3zQpHimkMlkot+LhvQ8W5vc3NwEO6EUFhYiJyfHpHhiHd2OHBE/uJHqjxMnTmDRokWicyZNmoTx48ebFX/fvn2CY87Ozhg4cKBZcY0h9nosOjoaarXaqDj6CrNvksvluP/++03OzZAHH3yQn0cTEVGTwsIVIiIiologk8uhCAwQnaO7lgttzvVayoiofurd0gXzenUyOE8H4L2oCyitFu/OYo5QT1esuacrHJQKyWMTERERERER1Qc6nQ7Vv+0HNNq6ToXodhotqvccMLr4oSmRqnClpKQEiYmJeseEClLuJFTgUlhYiJSUFKNinDx5UnQ8LCzMqDjnzp1DXl6e4Li1ugDcJFbsEx8fb9W1pWStjecPPfSQ6LgpBVdEtSU4OFjSTcTe3t6i4+7u7ujYsaNk6wFAp07Cn7MUFxebFOvYsWOoqRH+LGbEiBEmxTNVY3merW1ubm6CY5cuXTIpllg3tsjISOzfv9+keFT7zp8/j9mzZ6O6ulpwzrBhwwS7lhhDrIhp6NChVi0kdnd3h5eXl94xtVotyevTPn36wNPT05z0RLVq1cro1+BERESNAQtXiIiIiGqJood44QrAritEAPCYtyee8GllcN61cjU+jjXtZDBjWfKhlFanQ2WNRsJsiIiIiIiIiCRWUQnd5St1nQWRXrpLWUBFZV2nUe94enqKbmxOSUlBYWGhwThRUVHQavUXrRm7aa5Hjx6ws7PTO2aokwoAaLVaREdHC447ODggMDDQqFxiYmIEx5RKJYKCgoyKYy4/Pz/BsbS0NKNP+K5r/fr1s0rc4OBgwZ8V4EbhEVF9I/XzhoODA1QqleB4r169JF0PAFxdXQXHSkpKTIol9jzbpk0btGvXzqR4phJ7nk1KSrLq2vVFZWUl8vPzkZ2djaysLGRmZhr8n62trWC83Nxck9bv27ev6PjLL7+Mn376yaSYVHtycnIwdepU0d/9nj17Yvny5ZDLzdtKWlxcjPPnzwuOG9vVzxL+/v6CY8Y8V5SXlyMtLU1wXMpOXLUZm4iIqL5R1nUCRERERE2FvHNHwN4WqKgSnKM9mwRE8I0Jojk9OiL2ejFSispF5+29fB33tG6BiHbCJ0fVtq+Ts/BXxnV8FO6P9o72dZ0OERERERERERE1EqGhoYKnpOt0OkRFRWHo0KGiMYQ6XLi7u8PHx8eoPGxsbNCjRw+9sSIjIzFu3DjR61NSUlBUVCQ4HhwcDKXSuK0MCQkJgmPt27cX3SwuhWbNmkGlUuk9wbympgbZ2dmiJ9XXB25ubmjZsqVVYsvlcvj6+iIuLk7vuNgmV6K6ItatxFwODg6Cz3tSd1u5uZ6Q0tJSk2KJPc8a6iYjBRcXF8Gx7Oxs1NTUGH3PqO8uXbqE06dPIy4uDhcvXsSlS5eQl5eHiooKSdfJz883ab6npyd69OiBs2fP6h2vrKzE/PnzsW3bNowbNw4jR44ULZyh2lNeXo5p06bhyhXhQwvat2+PdevWiRaaGiL2PAHA6NeYlhB7rhD7+m+6cOGCaNfHgADDh5Say5qxiYiI6pvG8cqdiIiIqAGQKZVQdPWFJlr4BDFtega01/OhKyiCwlf6N8aJGgqVXI53Q30xcf9ZqLXCbxICwLKYVAS6OcLDvu7fBD92tQDr4zOgA/DsgTi8F+qLfq2a13VaRERERERERLezt4OsQxt2XaF6SdaxLWBv/sa5xiw0NBQ7d+4UHI+MjDS7cKV3794m5dKnTx+9sYzpuHLy5EnR8dDQUKPzuHDhguBY69atkZmZaXQsczk6OqKgoEDvWEMoXLH2ZsmAgADBwpX09HSrrk1kDicnJ8ljihWuiG22tmQ9IWVlZSbFEnue9fDwsPrzrFjnKq1Wi9zcXLRu3dqqOVjTlStXsHPnTuzduxcXL16slTUrK03vbDdt2jTMmDFDdE5cXBzmz5+Pd999FwMGDMDgwYMRGhpa7++DjZVGo8HLL7+M+Ph4wTmurq744osv0KJFC4vWSk1NFR23s7Oz+nOFWLeYa9euGbxeqDj8JhauEBERSYOFK0RERES1SB4YIFq4Ah1QtWwtoNHC7r2XIHNyrL3kiOoZb2cHzOzeEZ+cTRedV1ytwZKoVHw6oAvkMlntJKdHRmkF3jp1HjfLbEqqNXj5WBJe6NYeE/3b1mluRERERERERLeSyWRQPRgB9fpvAI22rtMh+j8KOVQPDoGM76PoFRYWJjouVJRyU2lpKRITE/WOmVIsAtwoXNEnPz8f58+fh6+vr+C1hopbTMlFbCPi8ePHERERYXQsaygsLKzT9Y1hje4StxLryKBWq1FUVGSVjftE5rLGz6PYhmprFMqIrSfWUeBOVVVVgoV5ALB7927s3r3bpNykVlRU1CALV7Kzs/HZZ5/hxx9/hEajqdW1q6qqTL4mIiICgwcPxqFDhwzOLS8vx19//YW//voLANCmTRsEBwcjKCgIQUFBCAgIgEKhMDkHMs3ixYtx8OBBwXEbGxt8/vn/Y+8+w6Mouz6A/3c3vRdCAiEQWioECBBAerFjw8JDEVFBEUVRUVRERVAQQUUQAVEQRB6UoggCgtI7hJZOTwIhvddt7wdefCiZ2dnNzCab/H/X5Qdz33PmhExmJ7v3uc83sjwHZGRkiI4/8sgjNT5HTYh1+rshOztbcMzV1RX+/v5ypnSLgIAAuLi4oKysTLFzEBER1RXCf6kQERERkew04W0AU2/EVWkBvR66A7HWSYqoDnuqTQC6+pn+kOhwViHWnje9W45SynR6TD6YjBLtrR8uGAEsik/Du4dSUKq17gcPRERERERERGI0Ya3hMGE0VE39AdYIUG1TAaqm/nCYMBqa0Na1nU2d5e/vjxYtWgiOJycno6ioSHD8+PHjgotjhQpRhHTs2BH29vbVjokV0BiNRtHCFRcXF7Rv315SDjqdDrm5uZLm1haxTgF1hRKL5s2Jn5OTo+j5iczl6Gjd7u5OTnW3y1hWVlZtp2CSJUUYte2PP/7Agw8+iLVr11q9aAW43qnGEnPnzkWbNm3MPu7q1avYtGkTpk+fjiFDhqBr164YM2YMli9fjrS0NItyIXFLly7F6tWrBcdVKhVmzZqFLl26yHK+un6vkHKfEHseUfpZCbjewY+IiKghYMcVIiIiIitSOTtBHdoShgThtto36PYdhd2gnlBxxxlqwNQqFaZ2aY0RO06h2EThx4Izl9G1sSdaerhYKbvrjEYjZhw7j/NF5YJzdl3Nw6WdZzC7RyhauDtbMTsiIiIiIiIiYZpWzaF55yUYy8phLCyu7XSoAVN5ukPlwvdMpIiJicHly5erHTMYDDh69KhglxGhghIvLy+EhISYlYezszMiIyNx8uTJas8zYsSIao9LSUkR7UISHR0NOztpyxjKysrM6hxQG2xhQbXSCyVdXV1Fx8vLhd9XJaLaVVJSUtspmGQL99mbzZ8/HwsWLKjtNCzi5uaG1atXY9KkSdi9e7fFcUpLS7F3717s3bsXM2fORLt27TBkyBA8+uijJl8zyLQ///wTc+bMEZ3zxhtv4MEHH5TtnHX9XiHlPlFRUSE4Zo2iEjc3tzpfAERERCQHFq4QERERWZmmfZikwhUUFkN/KhF20e2UT4qoDvN3ccTkTq3w/pGzovMqDUZ8ePQcvu/fDvZq6zWX/CnlKv6+Ynpnx0vF5Xj2nzOY1rUNejf1sUJmRERERERERNKoXJxZNEBkI2JiYvDrr78KjosVrgh1OuncuTNUKvNbL3Xp0qXawpVjx46J5icmJiZG8vnFFhjWFXW9sAZQfjGmqfi2tuicqCHhfVZeP/zwg80Wrdzg4eGBRYsWYe3atZg/f74sC+3j4uIQFxeHefPmYfTo0Xj22Wfh7My/TSxx/PhxvPPOO6K/F0OHDsULL7wg63nrw2u52PdgrcIVIiKihoCFK0RERERWpmkfCu0vmwAJ76Pq9xxh4QoRgLuDGmFvRj62pQm3aQaA5IJSfJ+YjnGRza2Sl85gxJ6MfMnzS3V6TDqYjLHhzfBceDOoLVgQQEREREREREREDVe3bt1Ex4W6qpSWliI+Pr7asa5du1qUS9euXbF06dI7vp6Tk4Pz58+jdevWkvO7wZzCFb1evEMzSaNWeBMgU/FtadE5UUPD+6x8Tp48abILxg2Ojo7o0KED2rVrh+DgYDRr1gy+vr7w9vaGi4sLHB0dodFooNFoBGM8/fTTJl9zLaVWq/HUU0/h4Ycfxtq1a7Fu3TokJCTUOG5hYSHmzZuHdevW4bPPPkOXLl1kyLbhuHTpEsaPHy9agNGnTx988MEHsp9bp9PJHrMusaTA21xiv89ERET1CQtXiIiIiKxM5eEOdYtmMFxKNznXcCEVhrSrUAc1tUJmRHXbWx1b4kROEbLKq0Tn/Zh0BXcFeCPK113xnOzUKnzTOwJzT13Ebxel7yr1XWI6kgpK8VHXNnCz559lREREREREREQkjb+/P1q0aIHLly9XO56YmIji4mK4u9/63lhsbKzgokJLC1c6d+4MtVoNg8Fwx9iRI0eqLVwR67ji4uKC9u3bSz6/o6Oj5LkkrKSkpFbj8+dIVHc5ODjUdgr1gtFoxLRp00wWAkVHR+OZZ55Bv3794OTkVONzKs3JyQkjR47EyJEjkZycjL///huHDh3CyZMna9SBIz09HaNHj8bs2bPxwAMPyJhx/ZWXl4exY8eioKBAcE54eDi++uor2NnJ/7lkfXgtF7vflZaWKn7+4uJixc9BRERUF3CFFBEREVEtUEeFSSpcAQDdniNwGPGosgkR2QB3Bzt82KUNXt4rvmuTAcBHR89i5cAOcLVXfncaB40a70a3RpiXG+acvAidxA8D9mbk49l/zmB2j1C09HBROEsiIiIiIiIiIqovYmJiBAtXDAYDjh07hv79+9/ydaGCETc3N4SHh1uUh7u7O0JDQ5GYmHjH2JEjRzBs2LBbvnbu3Dnk5eUJxouOjjZrMaWpRb33338/vvrqK8nxGqraLlxxdnZW9PxEZDlTv59jxozBW2+9ZaVsbNfu3btFO5LY2dnhrbfewujRo2U7Z1FRkWyxpAgNDUVoaCjGjx+PqqoqnDp1CrGxsYiNjcXJkydFCyqqo9VqMXnyZPj7+6Nz587KJF1PVFRU4KWXXkJqaqrgnICAACxevBiurq6K5GDqmezUqVM1LsZSmlh+Sj8rWescREREdYGyPV+JiIiIqFqaqDDJc/XHz8BYrPwuHkS2oEtjTwxv28TkvCullfjq9CXlE7rJY638sahvJBo52Us+JrWkAs/tPINdV3IVzIyIiIiIiIiIiOqTmJgY0fEjR45I+hpwvVhEo7F885cuXbpU+/XqCmWEcrjB1Pd1OxcXF9FF1YWFhWbFa6hqu3DFx8dH0fPXVEVFRW2nQFRrfH19Rcd5n5Vm/fr1ouMzZsyQtWgFsH7hys0cHBzQtWtXvPjii1i8eDEOHTqEjRs3YsqUKejdu7fkTj5VVVV48803UVVVpXDGtstgMOCtt97CyZMnBee4ublhyZIl8Pf3VyyP+nCvEHseYeEKERGRfFi4QkRERFQL1I0bQeXfSNpknR66g8eVTYjIhoyLbI7WHqZ34dt4KQu7rwjv4KiE9r7u+HFAFKJ83SUfU6YzYPKhFCyKT4XBCq3biYiIiIiIiIjItnXr1k10/PYCkfLycsTFxVU7t2vXrjXKRej47OxsXLhwQTSv25lbuAIATZoIb3Jj7u7uDZXYDu1Kx7e3t4e3t7fkWCqVSnDMYDCYlZdUvI6oIfPx8RHtQsDfD9P0ej327t0rON6/f3889thjsp+3LhUKqFQqhIaGYtSoUVi6dCkOHjyImTNnIioqyuSxGRkZWL16tRWytE2fffYZ/vrrL8FxOzs7fP311wgNDVU0D7HnMQDIz89X9Pxy8PPzExwrKipS9HvIy8tj4QoRETUYLFwhIiIiqiWa9mZ0Xdl3DEa9XsFsiGyHo0aNj7q2hZ3Ih5Q3fBp7HrkV1t2JqZGzAxb2icDjrczbuWhZ0hVMO3oOWoU+YCUiIiIiIiIiovrB398fLVq0EBxPTEy8ZfHbiRMnoNVqq51rSbHIzcQKX27vunLs2DHBuS4uLmjfvr3Z5xf7d8jKyjI7XkOUlJRUa/EDAwNFi1FuZ2dnJzhWVlZmVl5S1WbXAqK6oHnz5oJjmZmZVszENqWkpIjen4YNGyb7Oa9cuaLYPVEObm5uGDJkCH799VcsXLjQZOetX3/91UqZ2ZaffvoJy5cvF53z8ccfo2fPnornEhwcLDpuC/eKoKAg0XEln5cSExMVi01ERFTXsHCFiIiIqJZooqQXrhgLimA4reyHR0S2JMTLFeMixd9ABICCKh0+OX4eRit3MrFXq/F2p1aY0rk17NXSP3jdmpaDifsSUaLVKZgdERERERERERHZOrGCE71ej+PH/9fFW6jTibOzMyIjI2uUh4+PD1q1alXt2M3nvXDhArKzswXjREdHixYlCGnXrp3gWE5ODi5dumR2zIYmIyNDsZ35jUYjkpOTBcdDQkLMiufo6Cg4VlpaalYsqXgNUUMndp9NTEys0wUSdcHFixcFx5ydnRUpKoiNjZU9plIGDhyIlStXwtXVVXDO2bNnWYx6m7///huffPKJ6JyXXnoJjz/+uFXyEbtPALZxTZp6JlGycEXpImIiIqK6hIUrRERERLVE1bwp4OEmeb5uz2EFsyGyPcNDmqJTI3eT8/ZfK8BvF2vnDe2Hgxtjcd9INHZ2kHzMsewivLgrHplllQpmRkREREREREREtsxUp5Sbi0aEClc6deoEe3v7Guci1HVFSg43dOvWzaJzd+rUSXT88GG+ry7F7d1x5HJ795/bRUREmBXP09NTcCwvL8+sWFLZwmJbIiWJ3We1Wq1N/Y6Y0+FJLmIFF40bN7aoaNMUW/qZAECbNm0wbtw40TmnT5+WHK82fs7WdObMGbz55pswGAyCcx5++GFMnDjRajk1bdoUjRs3Fhy3hecxd3d30a4rpp5la0Kp5zAiIqK6iIUrRERERLVEpVZD01561xXD+VQY0jIUzIjItmhUKnzYpS1c7DQm5351+hJSi8utkNWdIn3c8eOAKElFNjecKyrDmF1xOF/IncqIiIiIiIiIiOhOpgpXbiyAq6ioEFzs2aVLF1lyESpcycrKwuXLl2/JR4ip70fs3GK7tO/atcuiuA3NH3/8UStxzf25N2rUSHDswoUL0Ov1ZsUzpaSkRLRjDFFD0LdvX9FCAFu6z5oqEqmslH9DsfJy4c+mfHx8ZD9fZWUltmzZIntcpT3yyCOi4+YUJ2o04p8bKvFztpb09HSMGzdO9LqKiYkx2Y1FCf369RMci4uLQ05OjvWSsZDYc8nevXsV6VCXn5+Pffv2yR6XiIiormLhChEREVEt0kRJL1wB2HWF6HZNXB3xVseWJudV6A346Ng56AxGK2R1Jx8neyzoHYGhbQIkH5NVXoUXdsfheLb8b4ISEREREREREZFtCwgIQPPmzQXH4+PjUVpaipMnT0Kr1VY7x9JikdsJFa4A/9udWmyXahcXF7Rr186iczs4OIgulNy5cydSUlIsit2Q7Nq1S7QziiWMRiP+/PNPwXF3d3dERUWZFVNsJ/SqqipcvHjRrHimrF+/XvZiGCJb4+/vjw4dOgiOr127VrGOR3JzcHAQHa+oqJD9nGKdzUpLS2U/3x9//IH8/HzZ4yrN398fbm5uguPmfE+Ojo6i42JFH3VZYWEhxo4dK1oA0rp1a3zzzTcmr3Ul3HPPPYJjWq0WP/zwgxWzsUzPnj0Fx7RaLbZu3Sr7Obds2SL4rE5ERFQfsXCFiIiIqBap2wYDTuJvnt1Mf/wMjCXyv4lJZMvub94IAwJN70oVn1eC5cnpVsioenZqNd7o0BIfdmkDR7W0NuUlWj1e25eIv9Lq/i5ERERERERERERkXWKFJzqdDrGxsYIFI46OjqILkc0REBCAZs2aVTt25MgRXLp0CVlZWYLHR0dHm9wFX8xTTz0lOGY0GvHtt99aHLuhqKiowM8//yxrzM2bN+PatWuC44MGDRJd0F2d1q1bi47v3r3brHhiDAYDVqxYIVs8Ilsmdp8tLy+3iQXpAODh4SHaPUaJjhBiXVUyMzNhNMq34VpVVRWWLVsmWzxrEys4MdVF5Waenp6i47m5uZJj1RVVVVV45ZVXcOHCBcE5jRo1wpIlS+Dh4WHFzP6nZ8+egs+DALB69eo6X+TWr18/ODk5CY7/+OOP0Ol0sp1Pq9Xixx9/lC0eERGRLWDhChEREVEtUtnZQRPRVvoBOj10B2KVS4jIBqlUKrzTqRUaOZn+kPOHxHQk5Mm7c6C5Hmjhh4V9I+HlIO3DeK3BiKlHzuKnlKuyfoBBRERERERERES2zVTHlCNHjuDo0aPVjkVFRcm6G7dQ15WjR48K5nBDt27danTu7t27IzQ0VHB8y5Yt2LJlS43O0RAsWrQI2dnZssQqLy/HnDlzROc88sgjZsdt0qQJGjduLDi+efNms2MKWbVqFdLS0mSLR2TLBg8eLFqAsXz5chw/ftyKGVlGo9GIfh+pqamyn1PsfIWFhThz5oxs5/r6669x7tw52eJZU0VFhWhRg9i/4+0aNWokOn758mXJseoCo9GId999V7R7nbOzMxYtWiRaOKI0tVqNkSNHCo6XlZXhvffeg8FgsGJW5nF1dcWgQYMEx8+fP49Vq1bJdr4VK1bg0qVLssUjIiKyBSxcISIiIqpl6qgws+br9x2Fka3piW7h6WiPqZ3bmJynNwIfHj2Lcl3t/g6183HHd/3aoZmr9I5L889cxhenLkHP4hUiIiIiIiIiIoLpgo99+/bh1KlT1Y4JFZpYqkuXLtV+PSMjA+vWrRM91lQBjhRvvPGG4NiNBZ/x8fE1Po9Ueht8D7+0tBSzZs2SJdbChQuRkZEhOB4aGooePXpYFFvseomPj8fevXstinuzpKQkzJ49u8Zx6qsBAwYgNDRU8L/169fXdookM0dHR7zyyiuC41qtFhMmTMDVq1etlpOl99nmzZsLjh07dszSdASFhISIjsvV7erw4cP4/vvvZYl1u4KCAkXi3mzHjh2im7e1aWP6M8AbnJ2dRYsclfg5K+mrr77Cpk2bBMfVajXmzp2L9u3bWzGr6g0bNgxNmjQRHN+5cyfmzp1rtXyMRqPZmwI+88wzouMLFixAZmZmTdICAFy9ehULFy6scRwiIiJbw8IVIiIiolqmCW8DaKQ/lhkLimA4naRgRkS2qXuAF55o5W9yXmpJBeafqf3dlJq7O+O7fu0R4e0q+Zhfzl/DZ7HCbcCJiIiIiIiIiKjhCAgIEF2Am5CQgMrKymrH5CgWuZlYIcyJEycEx1xcXNCuXbsan79fv37o1auX4Hh5eTmef/55WYoaxKSlpWHGjBmYPHmyoudRyqZNm7Bs2bIaxdiyZQu+++470TkvvviixfHvvvtu0fEZM2agvLzc4viXLl3Cyy+/jKqqKotjENVHQ4cOFS3CyM3NxdNPPy1rB5HqJCcn45133sEXX3xh0fERERGCY3v27EFubq6lqVWradOmaNmypeD477//brIzmSmnT5/Gyy+/rFgni8GDB+PTTz9VrDCppKQE8+fPFxx3d3cX/blVR2z+li1bBJ+P6ppff/0VixYtEp0zZcoUDBw40EoZiXNycsLbb78tOmfp0qWYOXMmtFqtYnlUVlZizZo1uP/++1FcXGzWsVFRUaLFtUVFRXj55ZdRWlpqcX4lJSUYP348SkpKLI5BRERkq1i4QkRERFTLVM5OUIe0MusY3Z7DCmVDZNsmtG+BYHdnk/PWXcjEgWv5VshInI+TPRb2iUSvAG9J8x3VKgwOFt4lioiIiIiIiIiIGhZLClDs7e3RsWNHWfNo0aKF6O7mQqKjo2FnZydLDp9++im8vLwEx/Pz8zF27Fh88cUXNSpsuJ1er8ehQ4cwceJE3HvvvVi5ciXKyspki29ts2bNwpIlSyw69rfffsOkSZNEdzfv2LEjHnzwQUvTQ79+/UR/zpcuXcJLL72EiooKs2MfP34c//nPf5Cenm5xfkT1lZ2dHT7//HM4ODgIzklPT8ewYcOwfPly6HQ62c5dVVWFnTt34vnnn8fDDz+MDRs2WFxcJtQhDADKysowadIk2TuM9OnTR3DMYDDg5ZdftrjgZ+PGjRg1apTZi/PNUVFRgR9//BGDBg3Cq6++ir1798rWWSw/Px/jx4/HpUuXBOfcf//9Zj8riP2cr169iilTplj0OmFNe/fuxUcffSQ659lnn8XIkSOtk5BEDzzwgMnX+eXLl2PEiBG4ePGirOdOS0vDggUL0L9/f3zwwQcWx588eTLUauFltWfOnMFzzz2HnJwcs2NnZmbimWeeQWJiokW5ERER2Tp53gEiIiIiohrRRIXBkHhO8nzD+VQY0jOgbibcapeoIXKy0+Cjrm3w/M446E20fp5x/Dx+HtQBXo72Vsques52GnzWIxSfn7yA3y5mCc5TAfg4pi2ifN2tlxwREREREREREdVpMTExWLt2rVnHtGvXDs7Opjd/MVeXLl3w559/mnVMt27dZDu/v78/Zs+ejfHjxwsumDYajVi8eDHWrFmD4cOHY8SIEWjUqJHZ5yovL8eRI0fw119/4e+//0Z+fu1vkmOp4ODgOxYMz507F0ePHsWUKVMQHBxsMkZWVhbmzJmD33//XXSevb09pk2bVoNsr+/mPnz4cCxcuFBwzsGDBzFs2DBMnToV0dHRJmOmpaXhq6++wubNm+8ouomMjER8fHyNciaqL8LCwjB16lRMnTpVcI5Wq8XMmTOxfPlyjBo1Ck8++STc3c3/XKOkpAT79u3D9u3bsXPnzhp1N7hZnz594OjoKNhx48CBAxg0aBDuvfdeREdHo2XLlnB3d4eTkxNUKlW1x9jZ2SEgIEDwnE8//TR+/vlnwQ4ThYWFGDZsGCZMmICRI0fC1dXV5Pdx5swZfP3119izZ88dY76+vvDx8cHZs2dNxjGHXq/Htm3bsG3bNvj5+eGee+5B//790bVrVzg5OZkVq7KyEuvWrcOiRYuQmZkpOM/e3h7PPvus2bnefffdmDNnjuD4H3/8gYMHD+L+++9HVFQUWrRoAVdXV9Hvw9HREX5+fmbnYqklS5aIFoB17twZI0aMsEqxpbe3t6Tr8oZp06YhOTkZ584Jr384deoUHnjgAQwaNAjPPvuspNfr2xmNRpw9exbbt2/H9u3bZSsGCQ8PxzPPPCPahe7kyZN49NFHMXnyZAwePFjw/nCDwWDAxo0bMXv27Ds6Ozk4OKBRo0aKdTUiIiKqS1i4QkRERFQHaNqFQLvGvGN0e47AYfgjyiREZMPCvd0wJrwZFiekic7LrdBiZuwFzOoeYvLNRKXZqVV4p1Mr+Ds7Cub9Zodg9Av0tXJmRERERERERERUl1lS+CG2C3lNWFK4YknHGDF9+/bFtGnTMGXKFNF5BQUFWLhwIb799lu0bdsWnTt3RocOHeDj4wMvLy94eHjAYDCguLgYRUVFKCkpQXp6OpKSkpCYmIhLly7BYDDImnttee6557BixYo7Fpfu2bMH+/btQ9++fTFw4EBERUUhMDAQzs7OqKysREZGBhISErBz50789ddfgguyb/bmm28iLCysxjk///zzWLNmzR0LP2+WkJCA4cOHo1OnTujfvz8iIiLg6+sLJycn5OfnIy8vD4mJidi9ezfi4uKq7RITERGB119/HWPGjKlxzkT1xVNPPYVr167hm2++EZ2XkZGBzz77DHPmzEF4eDi6dOmCyMhIeHt7w9PTE56enqiqqkJxcfG/99rLly8jOTkZiYmJSE9PF+3eZCk3Nzc8/PDD+PXXXwXnFBcXY+3atZILQwMDA/HPP/8IjgcFBWHIkCFYs0b4w2CtVosvvvgC3333He6++2507twZrVq1gqenJ+zs7P59HYqLi8Pu3buRnJwsGGv69OlYvny5pNwtlZ2djVWrVmHVqlWwt7dHREQEwsPD0aZNGzRt2hR+fn5wdXWFg4MDKisrUVZWhqysLFy4cAGnTp3CgQMHJHUne+6559CqVSuz8wsODsZdd92FAwcOCM7JycnBypUrJceMiYkxa77Sjh8/jkGDBlnlXDNnzsSQIUMkz3d3d8fSpUsxdOhQ0cIkg8GAv/76C3/99Rd8fX3RpUsXREdHo1mzZv/eJxwdHf+9T5SUlCAnJwfJyclISkpCcnKyYl3u3njjDRw8eBBJSUmCc7KzszFp0iTMnz8fDz30EGJiYtC6dWt4enrCaDSisLAQ58+fx6FDh/DHH38IFhmNHz8eBw4cYOEKERE1CCxcISIiIqoDVJ4eULUIhPHyFcnH6I+fgfHhQVC5Sd/dhKihGBUaiAPX8nEmr0R03q6redh8ORuDgxtbKTNhKpUKz4U3Q2NnB3wae+GWjjFPhzTFk23YYYmIiIiIiIiIiG4VEBCA5s2bIzU1VfIxXbt2VSQXc+O6uLigXbt2sufxxBNPQK1WY+rUqaI7lQPXd+pOSUlBSkoKVq9eLXsutsDe3h5z5szB8OHD71j8aTAYsHPnTuzcubPG53n00Uct2jW/Om5ubvjoo48wYcIE0XlGoxGxsbGIjY01+xyNGzfG/PnzceWK9M9tiBqKV199FXZ2dpg3b57JuXq9HnFxcYiLi7NCZtK8/PLL2Lx5s2IL3qszceJE7Nu3z+Q9pbi4GOvXr8f69estOs+4ceMwcOBAxQtXbqbVanHq1CmcOnVK1rg9evTAq6++avHxb775Jg4fPgy9Xi9jViRVkyZNsGrVKowZM+aOzm7Vyc3N/bejT13g4OCAhQsXYujQocjOzhade/nyZSxYsMCi88TExGDs2LGiRVZERET1ibq2EyAiIiKi6zRRZu4yptVBd9D8D1uIGgI7tQofdW0LZ43pP3nmnrqEq6UVVshKmsHBjfHFXWFwsbue+z1BvhjfrnktZ0VERERERERERHWVOV1LNBoNOnfurEgebdu2hZeXl+T50dHRsLNTZq/NIUOGYMmSJWjUqJEi8eub8PBwzJkzR7Gfx6BBgzBjxgxZY95zzz2KdULx8fHBDz/8gGbNmikS39aZKghzcnKyUiZUm8aPH4/PP/8crq62t8FekyZNMHPmTKjV1ls25+Pjg0WLFin67/XUU0/h9ddfVyy+NfXo0QMLFy6s0etSu3bt8NZbb8mYFZkrKCgIq1evRq9evWo7FYsEBgZi6dKl8PHxUSR+q1atsGDBAsWev4iIiOoiFq4QERER1RFmF64A0O87CiN3iSGqVjM3J7zeIdjkvDKdHh8dPXdLh5Pa1j3AC4v6tsM9Qb6Y2rkN1CpVbadERERERERERER1lDmFK2FhYXBzc1MkD5VKZVZRTLdu3RTJ44aePXti48aNuOeeexQ9z+3s7e3Rtm1bq55TDgMHDsQ333wDZ2dnWeM+9dRT+Prrr2Fvby9rXAB46623MGrUKFljtmnTBr/88otN/gytISsrC5mZmYLj/v7+GDhwoBUzotr08MMP47fffjPrdUgOTk5OaNmyZY1i3HfffViwYIFZBZc1FRISgu+++w5+fn6yxlWpVHjttdcwffp0WePWBnt7e7z44otYunQpXFxcahzv2Wefxccffyz7axtJ5+Pjg6VLl+Ldd9+1eqFbmzZtavz8ERYWhlWrVqFFixYyZXVd+/btsWrVKnh6esoal4iIqK5j4QoRERFRHaH294Oqsa9Zxxjzi2A4k6xQRkS27+HgxujdxNvkvFO5xfgp5aoVMpIu1MsV02NC4CChawwRERERERERETVc5hSAKL24uGvXrpLnWmOhs6+vL+bPn4+VK1eiS5cuip4rIiIC7733Hvbs2WOzO97369cPa9asQWRkZI1jeXl54fPPP8f06dOh0WhkyK56U6ZMwcyZM+Hu7l6jOGq1Gk8//TR++eUXBAUFyZRd/XPw4EHR8ZdeegmOjo5WyobqgubNm2PlypVYsGABwsLM36RPKpVKhS5dumDGjBnYv38/hg8fXuOYAwcOxNatWzFu3DjZi0mEdO7cGRs2bJDtNbB169ZYuXIlxo8fL0u86nz88ccYPHiw4kU+vXr1wsaNG/HGG2/I2oFi6NCh2LJlC55++ml4eHjIFpekU6lUGD16NLZv347hw4crWkjk5eWFkSNHYu3atdi8ebMs52rVqhXWr1+Pxx57rMaxbjxvrFy5UrFOLkRERHUZ+4wRERER1SGaqDDoduw36xjd7sPQdIxQKCMi26ZSqfBedGsM33EK+ZVa0blL4tPQ3d8LoV6219aeiIiIiIiIiIgaroCAADRv3hypqakm5ypdvCG1cMXFxQXt2rVTNJebxcTEYNWqVUhMTMTatWuxY8cOXLt2rUYxPTw80K1bN/To0QM9e/ZEcHCwPMnWstDQUPzyyy/YsGEDli5dikuXLpl1vIeHB5588km8+OKLVttFfMiQIejTpw++//57/PLLLygpKZF8rJ2dHe677z6MHTtW0UX39cWhQ4cEx5o1a4YnnnjCitlQXXL33Xfj7rvvxtGjR7F+/Xrs3LkT+fn5NYrZqFEjdO/eHT169ECvXr0QEBAgU7b/4+3tjddffx2vvfYaTp06hePHjyMpKQmpqanIyclBQUEBqqqqoNWKf8ZkDj8/P6xcuRJ79uzBokWLcPz4cbNjtG/fHiNHjsSDDz5YbUeJJk2aCHal8fY2veHbzR544AE88MAD0Ov1OHHiBPbv348TJ07g9OnTKC0tNTv3m/n5+WHw4MF4+OGHERGh3OfdTZo0wfvvv4/Jkyfj+PHjiI2NRUpKClJTU5Gbm4uioiJUVVVBp9MplgNdLyj+8MMPMXHiRGzYsAFbt27FyZMnYTQaLY6p0WjQrl079OjRA3fddReio6MV6fLm5uaGWbNm4T//+Q/mz5+P/fv3m5W3SqXCwIEDMW7cOLRv3172/IiIiGyFyliTV34iIiKyWHJyMt5///1bvjZjxgyEhobWUkZUFxgupqHyy+/NPs5x8jioA+V/s5aovth7NQ+TDpruTtTS3RnLB7aHk4I7AFpLanE53Ozt4OMk/5uzREREREREREREtsxoNCI5ORmnT59GXFwc0tLScPXqVRQUFKCiogJVVVVwcnKCq6srXF1d4e7ujqCgILRq1QqtW7dG69at0bZtW6jV9btbssFgwMmTJ7Fz506cPHkSZ8+evWMhur29PVq0aIH27dujd+/eGDBggKI7qZtSWVmJvXv34siRI0hMTERaWhoKCgpQWVkJR0dHuLm5oWnTpggJCUHXrl3Rr18/qxXY1AcDBgzAlStXqh2bNWuWLLvRU/2g1+sRHx+P06dPIz4+Hunp6bh27RoKCwtRXl4OnU4HZ2dnuLq6ws3NDR4eHmjevPkt99lWrVpBpVLV9reiuEuXLuHw4cM4cuQILly4gIKCgn8LZm78GzVr1gwtW7ZEVFQUevbsicDAwNpOGwaDASkpKUhKSsLly5eRmpqKtLQ05OXloaysDGVlZf9+D25ubnB3d4e3tzdCQkIQFhaGiIgIhIWFKdqVi+q+nJwcnDhxAmfOnMG5c+eQkZGB7OxslJaWorKyEhqN5t/nMVdXVzRu3BitWrX6914RHh4ONzc3q+d9+fJlbN++HQcPHkRycjKys7NvGddoNAgKCkLbtm3Ro0cPDBgwAE2aNLF6nkRERHUNC1eIiIhqCQtXqDpGgwEVH3wBFEnfDQwAND07w2HoQwplRVQ/fHr8PH6/lGVy3n/aNMHrHYKVT0hBOeVVGLMrDhoV8GXPcDR3r70PiomIiIiIiIiIiKj+qKysRGlp6S2LkbnouGFITU3F3XffXe1Yq1atsGnTJl4LRETUIFVWVqKkpARarRYuLi5wdXXlayIREVE16vf2H0REREQ2RqVWQ9NeevGSqpE37IfcB/uHq/+ggIj+Z2KHYDRzdTQ577/nMnAks0D5hBRSqtXjjQNJyCirRHppJcbuikNcXnFtp0VERERERERERET1gKOjI3x8fBAQEABPT08uymxADh06JDg2YcIEXgtERNRgOTo6wtfXFwEBAfDw8OBrIhERkQAWrhARERHVMZr2YSbnqBr7wuHF4XB8fwLs+nWHytnJCpkR2TYXOw0+6tpW0h9BHx8/j6IqneI5yU1nMODdQ8lILij992sFVTqM35OAPVfzajEzIiIiIiIiIiIiIrJlQoUrYWFhuP/++62cDREREREREdkaFq4QERER1THqti0BRwfxSc5O0ESGQKXm4xyROdr7umN0WKDJednlVZh94oIVMpKP0WjEp7EXcDir8I6xSr0Bkw8mY/2Fa7WQGRERERERERERERHZOqHClYkTJ0KlUlk5GyIiIiIiIrI1XOlIREREVMeo7O2giWgrOsd4+QoMuflWyoiofnk+vBnCvV1NztuenottqdlWyEgeixPSsPmycL4GAJ+duIhv41JhNBqtlxgRERERERERERER2bSUlBTk5ube8fWOHTuif//+tZARERERERER2RoWrhARERHVQeoO4Sbn6E8mWCETovrHTq3GtK5t4agx/efQrBMXkVJQaoWsamZ7Wg6WJV2RNHd58hV8fOw8tAaDwlkRERERERERERERUX0g1m2FiIiIiIiISAoWrhARERHVQZrIEMDeTnSO/kS8lbIhqn9auDtjQvsWJueV6fR4fX8irpZWWCEry/UI8EIXPw/J8/9MzcZbB5JRodcrmBURERERERERERER1QcHDx6842vdunVDjx49aiEbIiIiIiIiskUsXCEiIiKqg1SODteLV0QYU6/CkJtvpYyI6p8nWvmjh7+XyXk5FVpM3JeIwkqt8klZyM3eDl/1Csd9QY0kH3Mws+B68YqOxStEREREREREREREVD29Xo9jx47d8XV2WyEiIiIiIiJzsHCFiIiIqI7SdIo0OYddV4gsp1Kp8H7n1vBwEO9uBACXSyrwxoGkOl3kYa9W48OubTAqtKnkY45kFeL1/Ukoq8PfFxERERERERERERHVHo1Gg6NHjyI5OfmW/6Kjo2s7NSIiIiIiIrIhLFwhIiIiqqPUkW0BB3vROfpYFq4Q1UQjZwe8G91K0ty4vBJMOXwWOoNR4awsp1ap8HK7FpjUsSVUEo+JzSnCa/sSUaLVKZobERERERERERERERERERERERE1TCxcISIiIqqjVA4O0LQLEZ1jTM+AITvXShkR1U8DAn3xZOsASXP3XcvHZycuwGisu8UrAPBk6wB81j0Ujmpp5Sunc4sxYW8CiqpYvEJERERERERERERERERERERERPJi4QoRERFRHabpFGlyjv5EghUyIarfXu8QjL5NvSXN3XgpC98lpiucUc31DfTBgj6R8HCwkzQ/Ib8Ur+xNQEGlVuHMiIiIiIiIiIiIiIiIiIiIiIioIWHhChEREVEdpg5vCzg6iM7Rn4i3UjZE9ZdGpcLHMW0R5esuaf73ielYfyFT4axqLsrXHd/1bQc/J3tJ85MLSvHyngTkVbB4hYiIiIiIiIiIiIiIiIiIiIiI5MHCFSIiIqI6TOVgD027UNE5xivXYMjKueVrhtQrqPppAwxX6/7CeqK6wkmjwZy7QtHS3VnS/M9PXMDuK3kKZ1VzwR7O+LZvJPydxYvgbjhXVIaX9sQjp7xK4cyIiIiIiIiIiIiIiIiIiIiIiKghYOEKERERUR2n6RRpco7+RAKMej10x8+g8oulqJzzHfRHTkG357AVMiSqPzwd7DGvVzj8JBR5GABMPZKCUzlFyidWQ0FuzljUNxJNXRwlzb9UXI5xe+KRWVapcGZERERERERERERERERERERERFTfsXCFiIiIqI5Th7cGHMUX0ev2HEbFh19C++M6GC6l//t1/dHTMJaWKZ0iUb3i7+KIeT3D4WavMTm30mDEpANJuFBU93/Pmro6YVHfSAS5OUman1ZSgXG743G1tELhzIiIiIiIiIiIiIiIiIiIiIiIqD5j4QoRERFRHaeyt4emfZj4pOJSoKjkzq9rddAdOqFMYkT1WGtPF8zpEQYHtcrk3CKtHhP3JdpEdxJ/F0cs6hOJYHdnSfOvllXipT3xSC9h8QoREREREREREREREREREREREVmGhStERERENkDTKdLiY/V7j8BoMMiYDVHD0MnPAx/HtIXp0hUgs7wKr+9PRHGVTvG8aqqRswMW9olAaw9pxSvXyqowbnccLheXK5wZERERERERERERERERERERERHVRyxcISIiIrIB6rDWgJOjRcca8wphiEuWOSOihqF/oC8mdWwpae75onK8dTAJlfq6Xyjm6+SAhX0iEeLpIml+doUW43bH40JRmcKZERERERERERERERERERERERFRfcPCFSIiIiIboLK3gyYqzOLjdbsPy5gNUcPyROsAjA4NlDT3RE4xPjx6FnqjUeGsas7L0R7f9IlEhLerpPl5lVq8tDseKQWlCmdGRERERERERERERERERERERET1CQtXiIiIiGyEplOkxccazl6C4WqmjNkQNSzjIoPwYAs/SXN3XsnDFycvwmgDxSseDnaY3zsCUb7ukuYXVOnw8h52XiEiIiIiIiIiIiIiIiIiIiIiIulYuEJERERkI9ShrQBnR4uP1+05ImM2RA2LSqXCe9GtcFeAl6T5ay9k4sfkq8omJRM3ezt81TMcnRpJK15p7emCpi6W34uIiIiIiIiIiIiIiIiIiIiIiKhhYeEKERERkY1Q2dlBExVu8fH6o6dgLCuXMSOihsVOrcan3UIQ6e0maf638anYdClL4azk4WqvwZc9w9HVz1N0XpSvO+beFQ4nO42VMiMiIiIiIiIiIiIiIiIiIiIiIlvHwhUiIiIiG6LpFGn5wVoddAdj5UuGqAFyttNgbs8wBLk5SZr/aex5HLiWr3BW8nC202BOz1D08PeqdjzC2xVf9gyDqz2LVoiIiIiIiIiIiIiIiIiIiIiISDoWrhARERHZEHVoK8BF2oL56uj3HoXRYJAxI6KGx9vRHl/3CoePo73JuXoj8O6hFMTnFVshs5pz0mgwu0coejfxvuXroV6umNcrAm72drWUGRERERERERERERERERERERER2SoWrhARERHZEJVGA01UuMXHG/MKYIhLkTEjooapqasTvuoVDhc7091HKvQGvLE/CanF5VbIrOYcNGrM7B6C/oE+AIA2Hi74ulc4PBxYtEJEREREREREREREREREREREROZj4QoRERGRjdF0iqzR8bo9h2XKhKhhC/VyxWfdQ2CnUpmcW1Clw2v7EpFbUWWFzGrOXq3GjJgQjAptiq97h8NLQncZIiIiIiIiIiIiIiIiIiIiIiKi6rBwhYiIiMjGqENaAq7OFh9vSLkIQ0aWjBkRNVwx/l74oGsbSXOvllXi9f1JKNXqFc5KHnZqFV5u1wK+Tg61nQoREREREREREREREREREREREdkwFq4QERER2RiVRgNNh/AaxWDXFSL53BvUCK+1byFpbnJBKd45lAytwaBwVkRERERERERERERERERERERERHUDC1eIiIiIbJCmU2SNjtcfPQ1jWblM2RDR8JCmGN62iaS5R7IKMf3YeRiMRoWzIiIiIiIiIiIiIiIiIiIiIiIiqn0sXCEiIiKyQeo2wYCri+UBqrTQHTohWz5EBExo3wL3BPlKmrstLQcLzlxWOKPatflyFtZfuFbbaRARERERERERERERERERERERUS1j4QoRERGRDVJpNNB0DK9RDP3eIzAaDDJlRERqlQofdGmDmMaekuavOpuB1WevKpxV7diWmo3px87jsxMXseZcRm2nQ0REREREREREREREREREREREtYiFK0REREQ2StMpskbHG3MLYIhPkSkbIgIAe7UaM7uHIMRTWkekr05fxl9pOQpnZV1/p+di2rFzMP7//39x6hJ+SqmfBTpERERERERERERERERERERERGQaC1eIiIiIbJS6TTDg7lqjGLrdh+VJhoj+5WZvh696haOpi6Ok+dOOnsPRrEKFs7KO3VfzMPXIWeiNt359/pnLmHf6EgxGY/UHEhERERERERERERERERERERFRvcXCFSIiIiIbpVKroekQUaMYhpSLMGRkyZQREd3g6+SAeb3C4eVgZ3KuzmjE2weTkVJQaoXMlHPgWj7eO5QCvUBxys9nM/DuoRRU6PRWzoyIiIiIiIiIiIiIiIiIiIiIiGoTC1eIiIiIbJimU2SNY+j2HJEhEyK6XXN3Z8ztGQYnjek/u8p0ekzcn4jU4nIrZCa/I5kFmHwwGToTHVV2Xc3D+L0JyKvQWikzIiIiIiIiIiIiIiIiIiIiIiKqbSxcISIiIrJh6tbNAQ+3GsXQHz0FY5ltLpYnquva+bjj024h0KhMz82t0OLF3fE4V2h7nVeulVVCaxAvWrkhPq8Ez+88g8s2WqRDRERERERERERERERERERERETmYeEKERERkQ1TqdXQdIyoWZAqLXSHTsiTEBHdoWcTb7wb3VrS3LxKLV7ak4DE/BKFs5LXwy398X7n1pBQnwMAuFpWiTE7z+BEdpGieRERERERERERERERERERERERUe1j4QoRERGRjdN0iqxxDP3eozAaDDJkQ0TVeSi4MV6KDJI0t6hKh5f3JOBUjm0VdQwOboxpXdtI6i4DAEVaPSbsS8C21GxlEyMiIiIiIiIiIiIiIiIiIiIiolrFwhUiIiIiG6duGQR4uIlP0mhEh425+TDEn5UxKyK63TOhgXi8lb+kuaU6PV7dl4ijWYUKZyWve5v7YXaPMDhrpP2pqTUY8cHRc1iWlA6j0ahwdkREREREREREREREREREREREVBtYuEJERERk41RqtemuK3q9yTi6PYdlyoiIqqNSqfBmx5bo19RH0vwKvQFv7E/Evox8hTOTV68m3ljUNxKNnOwlH7MoPg2fxJ6Hjp2fiIiIiIiIiIiIiIiIiIiIiIjqHRauEBEREdUDJgtXAMDBxCLyyioYq7TyJERE1dKoVPg4pi26+3tKml9lMOLtg8n4Oz1X4czkFebthu/7t0drD2fJx/xxKRuv709CiVanYGZERERERERERERERERERERERGRtLFwhIiIiqgfUwc0AT3fxSSrVnV/TaKCJ6QDHSWPh+MYYqEwVtxBRjTlq1Pi8Rxj6NvWWNF9vNOL9wynYfDlL4czkFeDiiCX92iGmsbQiHQA4klWIF3bF4VpZpYKZERERERERERERERERERERERGRNbFwhYiIiKgeUKnVpruuVFYBmv9//PNwg92D/eH08etwGPkY1M0DlU+SiP7loFHj024huDeokaT5BgAfHzuPdeevKZuYzNzs7fBlzzA8FOwn+ZjzReV4fucZJOWXKJgZERERERERERERERERERERERFZCwtXiIiIiOoJO1OFKwBUQU1hP/oJOE17Hfb39oXK3c0KmRFRdezUanzYtQ0eCW4s+ZjZJy9iVcpVBbOSn51ajSnRrTEuMkjyMTkVWozbHY99GfkKZkZERERERERERERERERERERERNbAwhUiIiKiekIV3Awqb0/ROca8Amg6RkCl0VgpKyISo1Gp8G50KwxtEyD5mK/PXMbShDQYjUYFM5OXSqXCs2HNMK1rG9irVZKOKdcb8NaBJKy1sS4zRERERERERERERERERERERER0KxauEBEREdUTKpUKmk4R4pOKSmC4kGqdhIhIEpVKhdejgjE6NFDyMd8lpmNBXKpNFa8AwH3N/fB1r3B42EsrnjMA+PzkRXx9+hIMNva9EhERERERERERERERERERERHRdSxcISIiIqpHNJ0iTc7Rn4i3QiZEZA6VSoWX2jXHS5FBko/5KeUqPj950eYKOqL9PPFdv/Zo6uIo+ZhVZzPw3uEUVOj1CmZGRERERERERERERERERERERERKYOEKERERUT2iah4IlY+n6Bz9yQQYDQYrZURE5hgd1gwTo4Ilz193IRMzjp+HzmBbxSvBHs74vn97RPq4ST5m55U8vLwnAfmVWgUzIyIiIiIiIiIiIiIiIiIiIiIiubFwhYiIiKgeUalUpruuFJfCcO6ydRIiIrMNa9sE70a3gkri/M2Xs/Hh0bPQ2VhBmo+TPRb2jkC/pj6Sj4nLK8HzO88gtbhcwcyIiIiIiIiIiIiIiIiIiIiIiEhOLFwhIiIiqmdMFq4A0J+It0ImRGSpR1v646OubaCRWL2yIz0X7xxKQaXetopXnOw0+LR7CIa3bSL5mCullfji1CXlkiIiIiIiIiIiIiIiIiIiIiIiIlmxcIWIiIionlEFNYXK10t0jv5UAox6vXUSIiKL3NfcD592C4GdSlr1yt6MfEw6kIRynW39bmtUKrwWFYxJHYIl/YHa1MURU7u0VjwvIiIiIiIiIiIiIiIiIiIiIiKSBwtXiIiIiOoZlUpluutKSRkM5y5bJyEisli/QF/MuSsUjmppxStHsgrx6r5ElGh1CmcmvyfbNMHsHqFw0gj/mepur8GXPcPh6+RgxcyIiIiIiIiIiIiIiIiIiIiIiKgmWLhCREREVA9pOrUzOUd/It7kHKPBAGNJqRwpEZGFegR448te4XAWKei42encYryyNwGFlVqFM5Nf76Y+WNQ3Er5O9neM2alUmN0jFMEezrWQGRERERERERERERERERERERERWYqFK0RERET1kKpZAFR+PqJz9KcSYNTrqx0zlldAt/MgKj9ZgKoV65VIkYjM0NnPE/N7R8DNXiNpfmJ+KV7aE4/ciiqFM5NfuLcbvu/XHq1uK1CZ2qU1ov08aykrIiIiIiIiIiIiIiIiIiIiIiKyFAtXiIiIiOohlUoFTadI8Uml5TCcvXTLlwyZ2aj6dTMqps6FdsM2GLPzYEg6D0N2rnLJEpEk7X3dsbBPJLwc7CTNP19UjnG745FZVqlwZvJr4uqIJX3boYufBwDgxYgg3Nfcr5azIiIiIiIiIiIiIiIiIiIiIiIiS0hb8URERERENkfTKRK6v/aKztGfiIc6pCUMCWeh23MEhqTz1c87cBzqR+5RIk0iMkOolyu+7RuJCXsTkFOhNTk/taQCL+6Oxze9IxDo5mSFDOXj7mCHr3qFY2tqDga3YNEKERERERERERFRXTdgwABcuXKl2rGZM2diyJAhVs6IlBAaGio4tmLFCnTr1s2K2TQs/B0jIiKiuuidd97Bhg0bqh177LHHMGvWLCtnRLZg/vz5WLBgQbVjMTExWLlypZUzImtgxxUiIiKiekrV1B+qxr6ic/SnEmEsKkHV978IFq0AgO7QCRi1OrlTJCILtPJwweK+7dDExVHS/IyySry4Ow6XisoVzkx+9mo1HgpuDJVKVdupEBERERERERERERERERERERGRhdhxhYiIiKieUqlU17uubNsjPKmsHMaMLGg6RkB//IzwvNJy6E8lwK5LlPyJEpHZmrk5YVHfSLyyNwFpJRUm52dXaDFuTxy+7hWBEC9XK2RYNxiNRgBg4QsRERERERER2ayioiL8+OOPguOBgYHcYZ+IiIiIiIiIiOo8Fq4QERER1WMmC1cA6GPjoOnVRbxwBYB+/zEWrhDVIQEujljcNxIT9ibgvIRuKvmVOozfE4+veoWjnY+7FTKsfWvOXUNCfgne69wKThpNbadDRERERERERGS2oqIiLFiwQHA8JiaGhStERERERERERFTnsXCFiIiIqB5TNWkMlX8jGDNzBOfoTyfB7qkHoQrwg/FatuA8w/lUGDKyoG7SWIlUicgCvk4O+LZPJCbsS0RyQanJ+cVaPSbsTcAXd4Wjk5+HFTKsPYeuFWDe6UswAEgvqcDsHqFo5OxQ22kRERERERERERERkY1KT0/Hhg0bBMcnTJhgxWyISE6JiYnYsWNHtWPu7u4YPXq0dRMiktHy5ctRXFxc7digQYMQHh5u5YxICfPnzxcce+yxx9CsWTMrZkNEVD0WrhARERHVYyqV6nrXla27hSeVV8CYchF2PbtAu26LaDzd/mNweOIBmbMkoprwdLTHwj4ReH1/Ek7nVv+G483KdAa8tj8Rs7uHonuAl/IJ1oJLReWYciQFhv////j8Ejy78ww+7xGKMG+3Ws2NiIiIiIiIiIiIiGzTlStXRLtgsXCFyHYlJiYK/n4HBgaycIVs2ooVK3DlypVqxwIDA1m4Uk+Y6tTJwhUiqgvUtZ0AERERESlL0ynS5Bz9iXhoukYBDvbi846egrGySq7UiEgmbvZ2mNcrHF0kdlGp1Bsw6WAS9mXkK5yZ9RVWafHmgSSUaPW3fD2rvAov7I7HP1dyaykzIiIiIiIiIiIiIiIiIiIiIqKGiYUrRERERPWcukljqJr4ic7Rn0kC7O2hiW4nHqy8EvrYOBmzIyK5uNhpMLdnGHpK7KKiNRgx+WAydtWjQg6dwYD3DqUgvbSi2vFKvQHvHkrB94npMBqNVs6OiIiIiIiIiIiIiIiIiIiIiKhhYuEKERERUQOg6Wii60p5JQzJ52HXq4vJWLr9x2TKiojk5qTR4LMeoRgQ6CNpvs5oxHuHU7A9LUfhzJRnNBox9+QlHMsuMjl3SUIaph45iwq93uRcIiIiIiIiIiIiIiIiIiIiIiKqGbvaToCIiIiIlKfpFAndll2ic/Qn4uHw9BCogprAmJYhOM+YehWG1KtQN28qc5ZEJAd7tRrTY0LgdPw8/kzNNjlfbwQ+OHIWWoMRD7QQ785Ul+VWaLHzqvTuMdvTc3GltAKze4TBz9lBwcyIiIiIiIiIiIiI6o/k5OTaTqHB+ueff2o7BSIiIqI7zJo1C7NmzartNIjIBrDjChEREVEDoA7wg6ppY9E5+jPJMGq1sOspoevKAXZdIarL7NQqTO3SGkNa+kuabwDw8bFz2HgpS9nEFNTI2QE/9G+PNh4uko9JyC/Fs/+cRmJ+iYKZERERERERERERERERERERERE1bCxcISIiImogNJ0ixSdUVMKQdB6azu0AJ0fRqfpjZ2Asr5AxOyKSm1qlwtudWmJ42yaS5hsBfHL8PNadv6ZsYgpq6uqEJf3aoXcTb8nHZFdo8eLueOxIz1EwMyIiIiIiIiIiIiIiIiIiIiKihouFK0REREQNhKajicIVAPoT8VA5OkLTNUp8YpUW+mOnZcqMiJSiUqnwavsWeDYsUPIxs09exH/PZiiYlbJc7TWY3SMUo0KbSj6mUm/AlMNnsTQhDUajUcHsiIiIiIiIiIiIiIiIiIiIiIgaHhauEBERETUQav9GUAX6i87Rn0mGsUoLu55dTMbT7TvGBd5ENkClUmFcZHO8EBEk+ZgvT1/CyuQrCmalLLVKhZfbtcCHXdrAXq2SfNx3iel4/8hZVOj0CmZHRERERERERERERERERERERNSwsHCFiIiIqAHRdDLRdaWyCobEc1A39Ye6lfgid2NGFgwX02TMjoiU9Hx4M7zcrrnk+QviUvF9YrqCGSnvgRZ+WNgnEt6O9pKP2ZGeixd3xyOrvFLBzIiIiIiIiIiIiIiIiIiIiIiIGg4WrhARERE1IJqOJgpXAOhPxF+fK6Hrin7fsRrnRETWMyo0EBOjWkievyQhDYviU226u1KUrzuW9W+Ptp4uko9JKijFs/+cQUJeiYKZERERERERERHRDVVVVSgoKMC1a9eQm5uLsrKy2k6J6omysjLk5ubi2rVrKCgoQFVVVW2nRDKprKy85WdbWcnNiGqLwWBASUkJsrOzkZmZiZKSEhgMhtpOi2yEVqtFYWEhrl27hpycHJSWltr051JEtysvL0deXh6uXbuG/Px8PotIYDQaUVpaiszMTGRmZqKwsBA6na6205JMp9OhoKAAGRkZyMvLQ3l5Oe9rJEqn06GoqAiZmZnIyspCSUkJrxmqt+xqOwEiIiIish51Y1+omgXAmH5NcI4+LhnGqipoOkZAu24rUFYuPPdkPIxD7oXKzVWJdIlIAcPaNoW9Wo3PT16UNH9Z0hXoDEa83K45VCqVwtkpo4mrI5b0a4ePjp7F7qv5ko7JqdBi3O44TO3SBncHNVI4QyIiIiIiIiKihqOkpAT79u3DsWPHEBcXh7S0NOTk5Nwxz8XFBc2aNUNISAiio6PRu3dvNG8uvaOwUkpKSrB//34cPHgQZ8+eRWpqKkpKSlBZWQkXFxe4u7ujefPmaNu2Lbp3746ePXvC2dm5ttNuEC5duoT9+/fj+PHjOHv2LNLT06stgmrUqBGCgoIQFRWFLl26oFevXnBxkb7xjVIuXbqEvXv34vjx47hw4QIyMzNRWloKAHBzc4OPjw9at26NsLAw9OvXD5GRpjcrqw+ys7Oxf/9+JCYmIiEhARcuXEBhYSG0Wu0dc9VqNby8vNCsWTMEBgYiKCgIERER6NSpEwICAsw6b1FREYqKim75WnX3qpulp1vWxdzR0RF+fn4WHWttJSUlOHjwIE6cOIH4+HikpaUhMzOz2gXFbm5uCA4ORuvWrdGmTRt07doVUVFR0Gg0tZB5/VNSUoK9e/fi8OHDSElJQXp6OoqLi1FZWQlHR0d4enqiWbNmCAsLQ9euXdGnT59afz2qqqrCgQMHcPToUZw+fRqXL19GVlbWHYtzHR0dERgYiDZt2qBz587o0aMHQkNDZcsjLy/vjteH/Hzhz490Op3Fv98uLi7w8fGx6Ni6JC8vD7t378bx48dx7tw5XLlyBSUlJaiqqoKbmxu8vLwQGhqKjh074t5770VgYGCNzqfX63Ho0CEcPnwYCQkJuHTpEoqLi1FSUgJ7e3t4enqiefPm6NChA/r27YsuXbrUic8xk5KScPjwYZw4cQLnz58XfRZp0aIFOnTogG7duuGuu+6Cg4NDjc+v0+lw7dqda0HEij7y8/Mtvr4DAgJgZ2f5EuT8/HwcO3YMycnJuHjxIi5cuIC0tDSUlpbeUQCpVqvh6+uLZs2aITw8HB06dEDv3r3h6+tr8flrqry8HPv370d8fDwSExORnJyMvLw8VFRU3DFXpVLB1dUVgYGB//4XGhqKTp06oXXr1mZdv5WVlcjOzjYr15ycHIt/zs2aNbPoOEtV9wxWG5S6f994loqNjUVcXBxSU1ORlZV1xzV/47UwNDQUXbp0Qd++fREUFCR7PubQ6XQ4fvw49u7di8TERFy8eBEFBQWoqKiAk5MT3NzcEBgYiLZt26Jz587o27cvvLy8ajVnqntURpZlERER1Yrk5GS8//77t3xtxowZsr7hQlQd7fZ90P2xQ3SOw3NPXS9c+W0bdP8cFJ1r9+g9sB9wl5wpEpEV/H4xEzNjL0DqH4RD2wTg9ajgOvGmr6UMRiMWx6dhefIVs457LiwQYyOCoLbh752IiIiIiIiIbFN6ejoGDhwoOB4TE4OVK1daMSPLnTlzBsuWLcPff/9d7WIuKaKiojBs2DA8/PDDNVokZ4nU1FQsXrwYmzdvRnm58IZPt3NycsIjjzyCMWPGVFt4M336dGzatKnaYwcPHoypU6danLO1DRgwAFeuVP/e28yZMzFkyBDZz6nVavH7779j9erViIuLsyiGs7MzBg4ciOeee65WikG2b9+OZcuW4fjx42YdFxQUhGeffRaPP/44nJyc7hjv1q2b4LELFy5E586dzc4VgOhnmStWrBA9r1R6vR5bt27Fhg0bcODAAej1+hrH9Pf3R8+ePXHffffhrrvugr29vej8+fPnY8GCBTU+rxRS7+W18TsGXO+o8s8//+CXX37BgQMHqi0aksrDwwM9evTA4MGDMWDAAKvfy+saS36fLly4gKVLl+KPP/4wq3ODi4sLHnvsMbzwwgtmF3LV1IULF/DDDz9g69atKC4utihG27Zt8eSTT2Lo0KHV3vPM8c4772DDhg01iiHVY489hlmzZlnlXKZYcg85efIkli5dir///ltyJyW1Wo3evXtj0qRJCAkJMSvHgoIC/PDDD1i7di1yc3MlH9eiRQu8/PLLePjhh63+WWZhYSFWr16N3377DRcvSts48Haenp546KGH8Pzzz6Np06YW52Lqbwe5/f3332YVNej1ehw8eBB79uzB4cOHkZycXKOuEiqVCl27dsWwYcNw7733Wq0w8tixY1i3bh22bdv2b5FxTbi7u6NLly649957MWjQILi7u4vOP3z4MEaNGlXj80qVnJxsco7YfdXc+6A1n8HEyH3/Pnz4MFatWoVdu3ZZ3CmwQ4cOGD16NO677z6o1WrZcjOlrKwMK1aswOrVq6stjhOi0WgwaNAgjB07Fu3bt79jXOxnbUvvdZB5GvbTPxEREVEDpOkUYbJwRX8iHpqOEdDc1dlk4Yp+/zHY9esOlRX/KCKimnukpT/s1WpMP3YOUt5mXnPuGnQGIyZ1bGmzBRxqlQovtWuOlh7O+OT4eVQZpL0R+kPSFVwsLseHXdrA2Y47wRERERERERERmSM9PR0zZszAzp07axzr9OnTOH36NL755htMmTIFAwYMkCFDcVVVVZg3bx5+/PFHixZrV1RUYM2aNVi/fj3GjRuHF1988ZYF86WlpSgoKKj2WDkWwtVn27dvx6effoqrV6/WKE55eTk2bdqETZs2YdCgQXj//ffRpEkTmbIUdvHiRbz33nuIjY216Pi0tDR8/PHH+OGHH/DJJ5+ge/fut4wLXVeA+M7rte3UqVP46KOPkJCQIGvczMxMrF+/HuvXr4enpyd+++23Gi0Obii2bt2KL774ApcvX5YlXlFREbZt24Zt27bBz88PI0eOxLhx42SJXd9VVFRg/vz5WLZsmUXFXGVlZVi1ahU2bNiASZMmYcSIEQpkeau8vDzMnj0bv//+u+SiByFnz57Fp59+isWLF+PNN9/E448/LlOWVJ3CwkLMmjUL69evN/tYg8GA3bt3Y//+/RgzZgwmTpwoqZhk1apV+PLLLy0qbrp8+TLefvttbNy4EbNnz7ZKF47KykosXrwYy5Ytq7arijkKCwvx008/Yc2aNXjmmWcwYcKEGhdo1SXHjh3D5s2bsXXrVuTl5ckW12g04siRIzhy5AhCQkLw7rvv4q67lNt0NTMzE59++im2bt0qa9zi4mLs3LkTO3fuhL29PebOnYt7771X1nNQ7Tl9+jQ++eQTnDx5ssaxTp06hddffx3ffvstpk2bhujo6JonaMLWrVvxySefICsry+xj9Xr9v899Q4cOxdtvvw03NzcFsiRbwtWFRERERA2MupEPVM3F34jXx6fAWFkFdeNGUIe0FJ1rzM6D4ewlGTMkImt5oIUfpsW0hUZiHcq6C9e7tOhtvHHnfc39sLBPJHwcxXfUu9nOK3l4cXc8Msss2/2EiIiIiIiIiKghWr9+PR566CFZilZulp6ejpdeegmTJk2yuHuLFBkZGXjqqaewdOnSGnUYAK53Bpk/fz5GjRolWlBAppWVlWHixIl45ZVXaly0crsdO3bggQcewMaNG2WNe7vNmzdjyJAhFhet3Cw9PR2jR4/GkiVLZMis9hiNRnzxxRcYOnSo7EUrtyssLDSrc1JDlJmZidGjR+O1116TrWjldtnZ2fjll18UiV3fXL169d/Xo5p2ICorK8PHH3+MqVOn1qjTgSm7d+/GAw88gA0bNtS4aOVmubm5eO+99/Dcc88hPz9ftrj0PxcvXsTjjz9uUdHKzXQ6HRYtWoTXXntNtDtQSUkJxo8fj48//tjijjw37Nu3D8OGDZP9+eB2sbGxGDx4ML755psaF63cTKvVYunSpXjkkUdw/vx52eLWJp1OhxEjRuDnn3+WtWjldikpKXjuuefw2WefydKp7Xbbtm3DfffdJ3vRyu20Wq2i/05kPVVVVZgxYwaGDh0qS9HKzVJSUjB8+HDMmzdPsddyvV6Pjz76CK+99ppFRSu3W7NmDR5//HGkpaXJkB3ZMhauEBERETVAmk4mWt1XaWFIOAsAsOvZxWQ83f5jcqRFRLXgnqBGmNEtBBqJXVQ2XsrC9GPnoJPYraSuau/rjuUD2iPE00XyMckFpXh25xnE5dXsTXMiIiIiIiIioobgs88+w7vvvivrYr7b/fHHHxg+fDhycnJkj33+/Hn85z//QWJioqxxY2NjMXz4cC62tVBmZib+85//YMuWLYqdo6ysDG+99Ra++OILReKvXLkSb775pqy/G0ajEXPnzsXnn38uW0xr++CDD7B48WJFF9KTNAcPHsQjjzyCgwcP1nYqhOuvR08++SSSk5NljfvLL79g+vTpssa8YcWKFRg3bpyir3X79+/HE088gQsXLih2joYoJSUF//nPf2RdWLxt2zZ88MEH1Y6VlJRgzJgx+Pvvv2U73+XLlzF27NgaF8EI+fnnnzFq1CikpqYqEh8ALl26hKeeegpHjx5V7Bz1kdFoxA8//ICJEyeKFkuZ67fffsNrr72m6N81VL9kZmZi5MiRWLlypazFmzczGo1YuHAhJk6cKHs3xaqqKrz66qtYvXq1rHEvXbqEYcOGKXr/pLqPhStEREREDZCmY4TJOboT8QAAdVQY4CHeqtFwOgnGQi7kJrJVAwJ98Vn3ENirpRWvbEnNwYdHz0Kn0Jss1uLv4ogl/dqhX1MfycfkVmjx0u54bEvNVjAzIiIiIiIiIiLb9umnn+KHH36wyrni4+MxevRoWXcmzszMxPPPP49r167JFvNm58+fx4QJE2RdUNcQ5OTk4JlnnpF98baQxYsXY/bs2bLG/O233zBjxgzFijOWLl2K//73v4rEVtLy5cvZeaOO2L59O8aOHcviujriypUrePbZZxUp0ASAVatW4Y8//pA15o8//ohPPvlEsYW6N0tPT8czzzyjWFeghiYzMxNjx45VpDPchg0bsGrVqlu+VlVVhTFjxuDEiROyn+/cuXOYO3eu7HEXLVqEadOm1bgTnxQlJSV44YUXFPn3qe/++usvfPjhh7LEOn36NN5//30W1pJkGRkZGDlyJE6dOmWV823duhVvvPGGbK+7RqMRkydPxo4dO2SJd7vs7Gy88MILKCoqUiQ+1X12tZ0AEREREVmf2tcbqhaBMF6+IjjHEJ8CY2UlVI6OsOveCbq/9goHNBigO3QC9vf2USBbIrKG3k198HmPULx9MBlVErqp7EjPhc5gxIxubWGvtt09EZztNJjZPQRLEtKwLEn4nnizKoMRHxw9h2KtHk+0DlA4QyIiIiIiIiIi27J8+XL8+OOPJuepVCr06NEDgwYNQocOHRAUFARXV1dUVVUhOzsbycnJ2LNnD7Zs2YKSkhLRWGfPnsX48eOxcuVK2Nvb1yh/rVaLl19+GRkZGSbnurm5YeDAgYiJiUHLli3h5eUFjUaDoqIipKWl4cSJE9ixY0e1sY4ePYpvvvmmRrk2JFVVVXjppZdw8eJFk3Pd3Nzw4IMPolevXggNDYWfnx8cHBxQWlqKtLQ0nDp1Cn/99RcOHTpkMtb333+PwMBAjBgxosbfw42Fj1K0bt0aAwYMQFRUFJo1awZXV1dotVrk5ubi3LlzOHToEHbt2lVt8dOMGTPQuXPnGudrLVeuXJG0uNjT0xN33XUXunfvjuDgYAQFBcHNzQ3Ozs4Ari/wLS4uRmFhIc6fP4+UlBSkpKQgNjaWO6RLtHfvXsm7dtvZ2aF79+7o0aMH2rdvj6CgIHh5ecHR0RGlpaUoLCxEfn4+UlJSEBcXh9OnTyMhIYELf81QVVWFV155BZmZmXeMqVQqtGvXDn379kVYWBh8fHzg7e2NiooK5ObmIiEhATt37pS04H3GjBno06cPPD09a5zzjh07MHPmTElzO3bsiHvuuQedO3dG8+bN4e7uDr1ej9zcXJw9exb79+/Hpk2bTBamZmVlYezYsVi3bh3c3d1r/D00VAaDAW+88Ua1Rbv29vbo2rUr+vbti+DgYDRq1Aiurq7Iy8tDRkYG9uzZg507d5pchPzll1/ivvvug6+vL4Dr157QNRoWFob+/fsjMjISvr6+8Pb2RklJCbKzs3HkyBFs374d6enpoudbs2YNHn/8cbRv317iv4K4FStW4MsvvzQ5T61Wo0uXLoiJiUGXLl0QEBAALy8vuLm5oaioCDk5OUhJScGuXbuwZ88e0X+3srIyvPLKK1i/fj38/f1l+T7qEhcXF4SHhyM8PBxhYWFo3bo1PD094e7uDg8PD6jVahQXF6O4uBgXL15EXFwcjhw5gqNHj5p8PVm/fj2io6Px5JNPWpyfXq/He++9Z7JQ6cbvSM+ePdG2bVs0b94cnp6ecHFxgZ2dHUpLS1FcXIySkhJcvnz532eUEydOIDubmyXWJwUFBXjmmWckdRRp3LgxevbsiZiYGISHh8PLywteXl4ArhfsZ2Zm4uDBg9i5cyfi4+NFY23btg1ff/01Jk6cWOPv4ZtvvsGff/5pcp5Go0GvXr3Qs2dPhIaGolGjRrC3t0dxcTFSU1MRGxuL7du3V/u6cvHiRUybNg3BwcE1zpdsj8rIvwiIiIhqRXJy8h1vTs+YMQOhoaG1lBE1NNp/DkD321+ic+yfeRx2ndvDkFeAymlfASJPjipvTzh++BpUNryAnYiAo1mFePNAEir10nbk6BXgjU+7h8BRY/u/+9vScjDj2DlJhTteDnZYNqA9mro6WSEzIiIiIiIiImqo0tPTMXDgQMHxmJgYrFy50ooZiTt58iRGjBhhctFzjx49MGXKFLRt29ZkzJKSEixZsgTff/+9ybjPPPMM3nvvPbNyvt3cuXOxZMkS0Tmurq4YN24cRo4cCRcXF9G5BoMBW7duxZw5c3Dlyq0bp9jZ2SE0NFRwIdJjjz2GWbNmmfcN1KIBAwbc8T3eMHPmTAwZMsTi2B9//PEdO7Xfzt7eHmPHjsWYMWPg6upqMmZSUhJmzJiBo0ePmoz7888/Iyoqyqycb1ZWVoZHH33UZFeAsLAwTJ48GXfddZfJmPn5+fjuu++wYsWKOxZURkVF4fTp04LHrlixAt26dZOW/G3EPsu0JO4HH3yANWvWCI57eHjgtddewxNPPAEnJ/Pfj62qqsLBgwfxzz//YNu2bf92Evnzzz/RunVrs2IdPnwYo0aNEhxXuhuQkr9j58+fx1NPPWWyUNDFxQWjRo3CqFGj/l18LtW1a9ewZcsWbN68GWfOnAEABAYG4p9//rE4b1sn9vsUGRl5x+uDSqXC4MGDMXHiRDRr1sxk/GPHjuHjjz82eW2+8MILePPNN6UlLSAtLQ2PPvqoyWsoMjISU6ZMkVRgV1VVhZUrV2LBggUmC9AGDRpUo4LQ9evX49133612rL5cp2L3kLCwMCQlJd3yNY1Gg6FDh+LVV1+Ft7e3aOyCggLMmTMHv/76q+i8ESNG4IMPPsCWLVuqXWDdq1cvTJ48GSEhIaJxdDodli9fjvnz56OiokJwXqdOnWTpRLZ//36MHTsWer1ecI69vT0ee+wxjBkzBi1atJAUt6ioCIsWLcJPP/2EyspKwXkxMTFYsWIFVCqV2bkDyr5+mKLT6RAZGfnv//v4+KB///4YNGgQevbsCUdHR7NjpqamYsWKFfj5559FfyYeHh7YunWr2a9XN2zevBlvvPGG4LharcbTTz+NMWPGoHHjxmbHNxqNOHPmzL/PKBcuXAAAfPTRRxg2bJjZ8eR+RjPHO++8gw0bNlQ7Vhf/pikuLsbw4cORkpIiOOeJJ57AJ598IjmmTqfD888/b7I4vk2bNhg7diwGDx4MOztpvScOHjyI2bNnIyEhQXCOSqXCsmXL0KNHD8k53y42NhYjR44U/b0CgEceeQSvv/46mjRpIjpPp9Nh06ZNmDNnTrVFWu3bt//3mfB2de29DpKP7a8sIiIiIiKLaDpGmJyjP3H9zVC1jxfUEeIfIBrzC2FIPCdLbkRUe7o29sRXPcPgLLEQZd+1fLx1IAkVJt68sAX3BjXCor6R8HUS35XTTqXCZz1CWbRCRERERERERHQTrVaL999/32RxycSJE7Fs2TJJRSvA9e4Zb7zxBlasWAEfHx/RuStXrsSpU6ck53y7s2fP4ocffhCdExISgg0bNuCFF14wWbQCXF/Q9sADD2Djxo24++67bxnT6XQmd88l4Pjx4/j5559F5/j5+eHnn3/Ga6+9JqloBbi+SHfFihUYN26c6Dyp17aYb7/91mTRytNPP421a9dKKloBAG9vb7z99tv4+eef71gsKVa0UpdUVVVh06ZNguPNmjXDunXrMHLkSIuKVgDAwcEBffv2xbRp07B7925Mnz4dbdq0sTTlekmr1WLSpEkmCw5iYmKwadMmvP766xYtAg4ICMCzzz6LtWvXYvXq1ejTp4+lKTcIt78++Pj44Oeff8acOXMkFa0AQJcuXbBmzRrExMSIzvvll19EF/9L8dFHH5m8hoYNG4Y1a9ZI7grl4OCA559/HmvXrkXz5s1F5+7YsQNbtmyRnC/d6vaiFT8/P/z666/48MMPTRatAICXlxdmzJiBCRMmiM7bsGEDrl27dsdicHt7e8yePRvff/+9yaIV4Hrx75gxY7BgwQLRbnsnTpzAuXM1W8NQUFCAt99+W3Qhd1BQENasWYPp06dLLloBrhdW3Hgtb9SokeC8I0eOYO3atWblXdeEhoZi9uzZ2Lt3Lz799FMMGDDAoqIVAGjevDnef/99/Pe//xXt2FBUVISlS5damDGwbt06wTF7e3ssXrwY7733nkVFK8D1QoOoqChMnDgRf/75J5YsWYKePXtaXKBE0mi1WkyYMEG0aMXPzw/jx483K+53331nsmjlueeew++//45HH31UctEKcH3jh7Vr12Lo0KGCc4xGIz788EPRIjgxOp0OU6dOFb3XOTs7Y/78+Zg9e7bJohXg+r360UcfxR9//FHt3zhCRStUv7FwhYiIiKiBUvt4QRUs/qamIeEsjBXX/6ix69nFZEzdvmOy5EZEtSvazxNf946Aq51G0vzDWYV4Y38SynW2X7wS6eOOZf3bI9RL+MPtd6JboWMjDytmRURERERERERU961atQpnz54VnfPuu+/ipZdesmgxVufOnbFixQp4enoKzjEYDJg2bZrZsW+YPXu2aHFCSEgIVq5cadaCxBvc3Nwwb948PPDAAxbn1xAZjUZMnz4dRqNwl2QfHx/89NNPFnVEUavVeP3110V30waud9JYvXq12fEB4OrVq1i+fLnonHHjxuH9998XXXwrJCoqCqtWrRJd8FpXnThxAqWlpdWOqVQqfPnllyYXq5vD0dERTz31FDZv3iy60LWh+f7770V38AaAIUOGYNmyZQgMDJTlnNHR0fjuu+9MFgvSdc2aNcPq1asRHR1t9rHOzs5YvHgxgoKCBOcUFBRg586dFue3Y8cO7Nu3T3TOM888g48++sii+1zr1q3x008/mSzY+fTTTy1esEv/ExgYiJ9//vmWLhlSvfLKK7jnnnsEx8vKyjBixIhbdt53cnLCN998g0ceecTs8/Xu3RtvvfWW6JzffvvN7Lg3mzVrFnJycgTHo6OjsWHDBov+vW5o164d1qxZA39/f8E58+bNs8nrW61W47vvvsPGjRvxyCOPmLVY35SoqCisWLFC9Fnhv//9r+CzhpjKykrRrnxvvPGGrAWYKpUKffv2xQ8//IAnnnhCtrh0p6lTp+LgwYOC4y4uLli0aJFZzzwXLlzAwoULBcfVajW+/PJLTJ482eLfAY1Gg48//li06P7y5csWd5las2aNaKGfg4MDFi9eLHqPF+Lt7Y3Fixejd+/eFuVG9QsLV4iIiIgaMLtOJt480emhj7veOlod0RYqb5GF2g72UHm6w2gwyJghEdWWKF93LOgdAXd7acUrx7OLMHF/Ikq1tl+84u/iiMV9IzEg8M4dPIe3bYKHgi3bNYeIiIiIiIiIqL6qrKw0uZvxE088gdGjR9foPG3btsUXX3whOic+Ph67du0yO3ZSUhL27NkjOO7i4oJvv/0WXl5eZse+QaPRYNasWQgLC7M4RkPz999/IzExUXBcpVLh66+/rnERwosvvojBgweLzvnuu+9QVVVlduzly5eLHte/f39MnDjR7Lg3a968OebPnw+12raWAYn9bLt162ZRMZJUGo20977ru7y8PHz33Xeic+6991588sknsi42voEFRKY5Ojpi4cKFNfq3cnFxwfvvvy86Z8eOHRbH/+abb0THe/bsiXfeecfi+ADg7++PhQsXwsHBQXBOVlaWzXelqG329vZYsGBBjYoG3377bdECpfT09Fv+/5133kHfvn0tPt/w4cNFfz/EOnuZkpSUJFr4EhwcjIULF8Ld3d3ic9zQrFkzzJ07V/D1KTs7G7/++muNz2NtarVa0Q5b/v7+WLRokeA1V1ZWhm3btpkd9/z584LPb66urhg2bJjZMaVS4vWWrps/fz42bNggOK7RaPDFF1+gXbt2ZsX98ssvRZ/33333Xdk2MJg4cSJ69eolOG7J3yw6nc7k8+AHH3yAbt26mRX3Zg4ODvjqq6/47EcsXCEiIiJqyDQdI0zO0Z+43oZapVZDc9edbZtVTfxg/8QDcJr+Jhz+8xBUNvahCBEJi/Bxwzd9IuHpIO3NsZM5xXh1XwKKq4R3pbQVznYafNItBM+H/2/3rp4BXnilvfm7aRIRERERERER1Xd//PHHLTtn387b2xtvv/22LOfq1auXyQKD77//3uy4K1asEB0fP368yZ3epXB0dMQHH3xgUdeZhmjZsmWi448//ji6du0qy7mmTJkCDw/hDbwyMzOxefNms2KWlZWJLqJ2cnLC1KlTZbkeoqOjbW6H7itXrgiOxcTEWDGThmvZsmUoKSkRHG/cuDGmT59uc0VR9clbb72F0NDQGsfp16+faOGkWGcBMQcPHhTt2OPg4ICPPvpIlmsoNDQUzz33nOicZcuWiXbpInHjx49HRITpNQRigoKCJBcq9O7du8YFAPb29vjPf/4jOJ6RkYFr165ZFHvBggWC15OdnR0WLFgAb29vi2JXp2vXrqKF3mvWrJHtXPVJ69atMWrUKMHxv/76y+yYV69eFRxr3749nJ2dzY5JtWvDhg1YsGCB6JwpU6agf//+ZsVNSkrC9u3bBccHDx4sen2aS6VSYfbs2XBxcal2PDs7G//8849ZMbdu3YqMjAzB8c6dO+PJJ580K2Z13NzcMGXKlBrHIdvG0jwiIiKiBkzl7Ql1qyAYLqQJzjEknIOxvAIqZyfYdY+GbssuQKWGplMkNL26QN0yiB+wEdVjoV6uWNgnAq/sTUR+pdbk/Li8EryyNwFf9w6Hp4P57d7rErVKhRcigtDS3Rmrzl7FxzFtoeH9joiIiIiI6qkLRWW1cl57tQpBbuYv+EgrKYfWUDsL0lp5VL84QExmWSVKdbXTpTTQ1QmOGvMWCuZVaFFQZfp9ALlY8m9KdYvYTtQA8Oabb8LT01O287399tv4559/UFZW/b3r6NGjuHLlCgIDAyXFq6qqEt2JOTg4uMbdYm7WuXNnPPzww/j9999li1kfpaWl4fjx44Ljnp6eePPNN2U7n4+PD1599VXMmDFDcM6GDRvw2GOPSY75zz//oLS0VHB87Nixkq9TKd544w1s27YNhYWFssVUktDvMAA0atTIipk0TFVVVSa7U3z66aey3r/JPM2bN8eIESNkizd48GAkJSVVO5aZmYlr164hICDArJimngGee+65GnXvuN24cePw+++/Cy6wTUtLw7Fjx2QramxIfHx8MGbMGFli3XPPPfj7779Nzps0aZIs57v77rsxa9YswfHExESzr+3MzEzRxd9PPfUU2rZta1ZMKZ577jn89NNPqKysvGMsJSUF8fHxiIyMlP28tm7YsGGCxetHjx6FTqczq5OJ2PMbn1Fsz8GDBzF16lTROc8995xFr7k///yzYIGbo6OjrH+v3ODr64snn3wSP/74Y7Xjv/32G+677z7J8cS60KjValmLTfr06YP+/ftj586dssUk28LCFSIiIqIGTtMpUrRwBXo99HEpsOsaBZWnOxyeewrqVs2hcnO1XpJEVKvaeLri2z4ReGVvAnIqTC9aSSooxct7EjC/dwS8HW27eAUA7g5qhIHNfKFm0QoREREREdVjw7afqpXztnR3xn/v6Wj2cW8dSMbF4nL5E5Lg8OM9zD7mq9OX8M+VPAWyMW313R3MLgxZd+EaliamK5TRnSz5N6W6IysrC8eOHRMc9/Pzw5AhQ2Q9p7+/v+hCHaPRiD///BNjx46VFG///v2iHQeGDx8Oe3t53+caNWoUC1dM2LJli+iu+U8++SR8fHxkPeewYcOwcOFC5OVVf88+cuQIsrOz4efnJyme2A7fdnZ2GD58uEV5CvH29sZDDz2En376Sda4SnFychIcs5XiG1u2a9cuwWsduN71pnfv3lbMiG739NNPy9rtpl+/fpgzZ47g+Pnz581a3K/VakV3mXdwcMDzzz9vVo6mODs749lnn8Wnn34qOGfz5s0sXLHAk08+CQcHB1lide/e3eSczp07i3YBMkezZs0QFBSEtLTq1z0kJiaa3UVh/fr10Our33zA3t4er7zyitl5StGoUSMMHjwY69atq3Z89+7dLFypRlBQENq2bYuzZ8/eMVZSUoLz58+b1b1K7BmloKDAkhSplqSkpGDChAnQaoXXOdx7770WdQitqKgQ7cg4dOhQNG3a1Oy4UowePVrw7+FDhw6hqqpK0j09Pz8fhw4dEhzv27ev7Pec8ePHs3ClAWMfRyIiIqIGTtMxAjCxFlt/Mv5/86PCWbRC1AC19HDBt30i0dhZ2hvWZwvLMH5PPHIrqhTOzDpYtEJEREREREREVL0DBw6IFhc89NBD0Gg0sp/3kUceER0/cOCA5FgHDx4UHNNoNHjwwQclx5KqXbt2aN26texx65N9+/aJjpu6BixhZ2cn+vM2Go2i18vtcw8fPiw43qtXL9kLbwDg4Ycflj2mUry9vQXH9u7da8VMGiZTCwblLqwi82g0GrM6PEnRsmVL0UJMoUX/Qk6ePCnalaB///7w8PAwK6YUgwcPFu2cYM4zAP2PnNdbQEAAXF3F1xTIfX2LPVdduHDB7Hg7duwQHLvrrrvg6+trdkypevXqJTgm9TmkIQoJCREcq66gRYzYM0psbKxo1ziqO7KysvDCCy+guLhYcE6nTp3w+eefQ2XBeoBDhw6JboDw0EMPmR1TqqZNmwre98rLy3HixAlJcQ4dOgSdTic4rsT3EBUVheDgYNnjkm1g4QoRERFRA6fy9IC6pXh7ZkPiORjLK6yUERHVVc3dnbG4bySauDhKmn+hqBwv7Y5HVvmdrayJiIiIiIiIiKh+EFuYDyi3iD4yMhJt2rQRHD9+/Ljorro3E+sYExMTg0aNGpmdnxRKFMTUF1VVVaKLrcLCwkQXJ9aEqWvW1DV/Q0pKiuiO3A888IA5aUnWoUMHBAUFKRJbbmJ5HjlyBH///bcVs2l4xIqD/Pz8cPfdd1sxG7pdaGgo3N3dZY1pZ2eHVq1aCY7n5OSYFa+2ngF8fX3Rs2dPwfHLly/j2rVripy7vvLx8UHLli1ljWkqXnR0tKznE7u2xRatVyc3Nxfx8fGC4/fff79Z8czVpUsXwbGEhATRovGGTKyY6NKlS2bFat5ceA1NWVkZ5s2bZ1Y8sr7S0lK8+OKLyMjIEJzTokULLFy4EI6O0tY/3G7Pnj2CY4GBgYiKirIorlRi9wqxe9jNxF7LXVxcMGDAALPzkkLJoh6q21i4QkRERETQdIoQn6DTQx+XYp1kiKhOa+rqhEV9I9HMVdqbN5dLKvDS7niklZQrnFndZDQakVrcML93IiIiIiIiImoYEhMTBce8vLwQHh6u2LnvuusuwbHKykpJu2vrdDrRHZg7dOhgUW5SKBnb1l24cAFVVcLdnHv06KHYuaOiokQ7BIhd8+bM69ixozlpmcVWrq3u3buLjr/xxhv47bffrJNMA3P16lVkZ2cLjvfo0UO0owUpT+5F/TeIdXoqLCw0K5bYfU6lUpn8Ha8JsWcA4PrifpJOidckT09P0TGxQhO5z2du4cqJEydEi0PEFovLoXHjxvDy8qp2rKSkBOnp6Yqevy7QarUoKChAVlYWrly5gvT0dJP/iRF7zatOQECAaEeI5cuX47PPPkNFBTeArYv0ej0mTpwo+lrg5eWFJUuW1KgDYmxsrOBY165dLY4rlVghf1JSkqQYcXFxgmPR0dFwdnY2Oy8pTL2OU/3FvzCIiIiICJoOEdCu2yo6R38yHnZdld0NgIhsQ4CLI77tG4lX9iTgconpN+PSSysxZmcc5twVhva+8u4OVpcZjEZ8fuIitqRmY37viAb1vRMRERERERFRw6DX63H+/HnBcSWLVgAgIkJ8U6aUlBSEhoaKzklNTRUtkFDye1D638eWJScni44r/W8XFhaGI0eOVDt27tw56PV6aDTHWeHlAAEAAElEQVQa0RhivxsuLi6iO3nXVFhYGDZt2qRYfLn4+/sjKioKp0+frna8oqICkydPxk8//YSRI0fi/vvvt3hHbLqVqUX9tlL8VJ/J3f3iBldXV8GxyspKs2KlpAhvfBgUFAQ3Nzez4plDyjOAUrvE10dKXG8uLi6CY82bN4dKpbLa+UpKSsyKJXaPdHJyQmBgoFnxLOHl5SXYue3KlSs2013NlLy8PMTGxuLUqVM4d+4cLl++jKysLLOLjUzJz883+5hBgwZh6dKlguM//PADtmzZguHDh+Pxxx8X7fhC1jVt2jTRbiiOjo749ttvRYuTTKmqqsK5c+cEx1u3bm1xbKnECvauXr1q8nij0Sj6N0tYWJhFeUkREhIClUrFDlINEAtXiIiIiAgqLw+oWwXBcCFNcI4h8RyM5RVQOTtZMTMiqqsaO18vXnl5TwIuSugoUlClw/g98fioa1sMbFb/37TTGQz4+Nh5bEvLAQC8vj8R3/aNRFtP4Q+EiIiIiIiIiIhsTVZWVq0VfUiJL2U36oyMDNFxJRfr+Pr6ws/Pz+wdoBsCUz87UwuWayoiIkKwcKWyshI5OTnw9/cXjSG2WCw0NFT2Bbs3U/K6ldu4ceMwfvx40TlnzpzB5MmTMW3aNPTq1Qv9+vVDTExMvVm0WxsuXbokOs7Cldonthi1JsQKV7RareQ4RqNR9D5njWcAsQWvDaEjhZzEOo1ZSqyQRInrW+x8paWlZsUSW4zetGlTSQvCa0qsy8G1a9cUP7+SSkpK8Mcff+D333/HqVOnYDAYFD+nJZ1RRo8ejZ9++kn02IyMDMydOxdfffUVoqOjMXDgQHTv3h2hoaFQq9U1SZkstGTJEqxZs0ZwXKVS4bPPPqtxZ7PLly+Lvm56eHgo/lqk0+kEx6TcJ7KyslBWViY4ruTfFG5ubggKCkJqaqpi56C6iYUrRERERAQA0HSMFC1cgU4PfXwK7Lqw6woRXefr5IBv+0Ziwt4EnC0UfkPjhiqDEe8dTsErpc0xMqSpoh/M1qZKvQFTDqdgb8b/du4p1urx6t5ELO4biebuyrTTJSIiIiIiIiKytqysLNFxpXaLv6FVq1ai46byA2CyaMRUcUJNNW7cWJbClcrKStkLYBwdHeHn5ydrTKlM/exqsjuyFKau3czMTJPXhtjPQ+nrSun4cho4cCD69euHXbt2mZxbVlaGv/76C3/99ReA64uHo6Oj0alTJ3Tq1AlhYWEmO+HQdaYWM1pjl3ASp0QhAQDRhdTm7Hqem5srumBW6WcAd3d3NGrUSPBeK+UZgP5HietN7Fpzd3e36vnM3dFf7B554cIFDBw40Kx4cissLKzV81uqoqICy5Ytw/fffy97RxVTzO0oBQB+fn6YMGECPv/8c5Nz9Xo9jh49iqNHjwK4XpwVHR2Njh07omPHjujQoYNoMRLJ488//8QXX3whOmfSpEm4//77a3wuUxsgfPjhhzU+R01IuU+Y+vvRGn/Ps3Cl4WHhChEREREBADQdwqFdv1V0jv5kAgtXiOgW3o72+KZPBF7dm4ikAmm7FS2IS8XV0kq82bEl7NT1q3ilTKfHWweScCy76I6xvEotJuxLwOK+7RDg4lgL2RERERERERERySs/P1903M3NTdHzOzg4wMHBQbDrS15enskYBQUFgmN2dnaKLzCT69/o5MmTGDVqlCyxboiJicHKlStljSmV2LXl5OQEe3t7Rc9vakGtqWsfEF8spvTvhtLx5TZ37lwMHTpUdIf76ly9ehVXr17Fpk2bAFzvJBEdHY1evXph4MCB7MgiIicnR3DM3t5etHMBWYeTk1NtpyCqtp8BbpxDaNGtlGcA+h9rX291/fqu64VPlhRh1Lb4+Hi8+eabuHjxYq2c39KuLmPGjEFycjI2btxo1nGFhYXYuXMndu7cCeD6a2tERAR69uyJfv36sbOZAo4dO4bJkyeLFqoNGzYMY8aMkeV89eE+kZubKzquVBHtDbb2NwvJg4UrRERERAQAUHl7Qt0yCIaLwl1XDAlnYayohMqJC66J6H88HeyxoHcEJu5PRFxeiaRj1l/MxLXySnzSLQQudvVjB7zCKi1e35+EeJF/g2tlVZiwNwGL+kbC18nBitkRERERERGJW3137SyasLdwQ4PP7wqF1mDerrm1aWJUMMZG1M7i2UBX8xeFPd4qAAOb+SqQDdU35eXlouPWWIji7u4uuOBGymIdoaIX4PoieKVxsU71KioqBMestRhajFh+N4hdfyxcuZWbmxtWr16NSZMmYffu3RbHKS0txd69e7F3717MnDkT7dq1w5AhQ/Doo49a5ffZltT27xjZvrryDCDEFhf2U91RUiLt887aIvb8Whft2rULEydONHnfqKs+++wzNG3aFIsXLza7e88NWq0Wp06dwqlTp7Bw4UI0bdoUjz76KJ588kk0bdpU5owbnosXL+Lll18W/d3o168fpk6dKts56/p9QsrrYG2/lvOZs2Fi4QoRERER/UvTMUK0cAU6PfTxKbDr3F5yTGNpGWBvD5WDsrufEVHtcneww9e9IjDpYBJiq+k2Up0D1wowbnc85t4VBj9n2y/i2HgxS7Ro5YbUkgq8ti8RC/tEwsOBf5YTEREREVHd0MrDtnbVDnJTtgOC3PxtrPOmj5M9fJz4fh6ZZmrRXG0XrkgpLhD7HpTutgJYpzjGFon9XGp7MTQg7drSarWCY0pfW7Z4XXl4eGDRokVYu3Yt5s+fL8su1nFxcYiLi8O8efMwevRoPPvss1b5vbYFYtew0rtrU/1QV54BhEi5TxMJqevXj6XFE7Xh+PHjePXVV226mEytVuP1119Hjx49MHv2bMTHx9c45tWrV7Fw4UJ89913ePjhh/Haa6/B399fhmwbnry8PIwdO1a0k2ZkZCS+/PJLaDTybahpy9f0Daa+BxaukBLUtZ0AEREREdUdmo4RJufoT5j+I9xoNEJ/MQ1VP21AxdS50B87LUd6RFTHudprMK9nOO5r3kjyMckFpXhu5xmcKyxVMDPrGBHSFA+28JM092xhGd7Yn4gynV7hrIiIiIiIiIiIao81FtUZDAbBMZXKdFcne3vhIi1rLFqs6wsj66Lavq4AadeWnZ3wpjVKL3Sz1R3N1Wo1nnrqKWzfvh1Tp05FRITpz62kKCwsxLx58zB48GAcO3ZMlpi2TuwaNnX9E0lR2/dqKfdpIiF6PT+/k0NRURFef/11Sc89KpUK4eHhGDp0KKZMmYJvv/0Wa9euxT///IPDhw/jzJkziI+PR3JysuB/r7zyiqLfT/fu3bFu3Tp888036NOnjyxFEFqtFuvWrcN9992HNWvWyJBlw1JRUYFx48YhLU14g96mTZti0aJFcHGRd8MWnU4na7y6SOnXUjkLich2cGtXIiIiIvqXytsT6pZBol1XDInnYKyshMrxzl0ijeUV0B87A93+YzBezfz367r9x2B3V2dFciaiusVBo8ZHXdog0NUJ3yemSzomq7wKY3fFY2b3EHT391I2QQWpVSq8F90aZTo9dl7JMzn/TF4JJh9Mxpy7wuCo4b4SRERERERERGR7HKt5n/hmJSWmu9PWVHFxseCYqfwAwMFBuBNwaanym61Y49/IFon97MR+5nIx9XNxcnIyGUPs2lL6526Na1dJTk5OGDlyJEaOHInk5GT8/fffOHToEE6ePFmjop/09HSMHj0as2fPxgMPPCBjxrantn/HyPaZeo21xnVU02cAIiGOjo42WwRalyxYsACZmZmicwIDA/Hss8/iwQcfhI+PT43OZ42COZVKhUGDBmHQoEHIysrC9u3bcejQIRw5ckS044cpZWVl+OCDD3Du3DlMmTJFvoTrMYPBgEmTJuHUqVOCc9zd3bFkyRI0btxY9vPXh9cZsb9XgOt/s3h7eyt2fj5zNkwsXCEiIiKiW2g6RogWrkCrgz4uBXad2//7JUNGFnR7DkN/7AxQeWdbaGNaBgypV6BuHqhEykRUx6hUKrwQEYSmLo74NPYC9BLeJCzT6fHG/kS806kVHm5pu22Q7dQqfNy1LSZpk3A4q9Dk/CNZhXj/cApmdg+BnZrFK0RERERERERkW5ydnUXHrVGUIXYOU/kB1xczCdFqtaisrFR0URILV6onVhhS29cVIK1wxcPDw+L4NVWfrqvQ0FCEhoZi/PjxqKqqwqlTpxAbG4vY2FicPHnS7EWiWq0WkydPhr+/Pzp3bribrontOs5FhCSFqdfY2i7+lPIMQCTEyclJsHAlKioKv/76q5Uzsj15eXn473//Kzrn0UcfxbRp0yQ9V0lRVFQkSxypGjdujBEjRmDEiBEwGo1ITk7G8ePHERsbixMnTuDKlStmx1yxYgUCAgLw/PPPK5Bx/TJz5kxs375dcNze3h7z589H27ZtFTm/qdeZJUuWoG/fvoqcWy6mfveULlypT3+zkHQsXCEiIiKiW2g6RkC7YZvoHP3JhFsLVy6lQ7//uOgxun3H4DCchStEDcng4Mbwd3HE5IPJKNWZbqmtNwKfxF7A1bJKvBgRZLNt3B00anzWIxSv7kvE6VzTH/DtycjH9OPn8WGXNlDb6PdMRERERERERA2Tr6+v6LjSi8cqKiqg1WoFx03lBwB+fn6i47m5uWjatKnZuUmVm5srS5xu3bohOTlZllh1QaNGjQTHqqqqFC8oMnXtiuV3g9i1JdfPXUhOTo6i8WuLg4MDunbtiq5duwK4vrN6SkoKDh8+jD179uDw4cOoqrpzg7XbVVVV4c0338Rff/1lcqfp+kps53G9Xo+SkhK4ublZMSOyNbX9DACIF1lJeQYgEuLr64v8/PxqxwoLTW9cR8Cff/4p2iVtyJAhmDlzpqzntHbhys1UKhXCwsIQFhaGESNGAACuXbuGQ4cOYe/evdi3b5/kYts5c+agd+/eCAkJUTBj2/bjjz9ixYoVonOmT5+OHj16KJaDqQ5BtnCvMPVaqXQRKgtXGiZu50pEREREt1B5e0Id3Ex0jiHhLIw3vcmgiW4HOIl/QKSPjYOxjO10iRqaro09sbR/OwS4SP/wb1nSFXx49Byq9AYFM1OWs50GX/YMQ6iXq6T5W1NzMOfkRau0sCYiIiIiIiIikovYwmcAOH/+vKLnP3funOi4qfwAICAgQHQ8KSnJrJzMUVxcbNFOzA1BbV9bpuLX9NpSushIyeu2LlGpVAgNDcWoUaOwdOlSHDx4EDNnzkRUVJTJYzMyMrB69WorZFk3mbr31adCOFKGt7e3aOGX0vfp/Px80SJAKfdpIiFNmjQRHDO301dDtWvXLsGxxo0bY8qUKbKfszYLV6oTEBCARx99FHPnzsX+/fvx3Xff4Z577oFaLb5s22AwYN68eVbK0vbs2LEDs2bNEp3zyiuv4LHHHlM0D1ObG9jCvcLUJg6XL19W9PypqamKxqe6iYUrRERERHQHTadI8QlaHfRxKf/+r8rRAZqYDuLHVGmhP3ZahuyIyNa08nDB9/3aSy7iAIBtaTmYsC8BhVXCO2bWdW72dpjXKxzB7tLa0a+7kImF8XxzhoiIiIiIiIhsh5+fH1xcXATHlV48n5iYKDrevHlzkzFatmwJjUZj8TlqQsnYti4oKEh0XOl/u4SEBMExV1dXSTv5t27dWnCsoKAAGRkZFuUmRUMpXLmdm5sbhgwZgl9//RULFy40uRP2r7/+aqXM6p5WrVqJjp86dcpKmZAtE7tX28IzAJGQ4OBgwbGioiKUl3PDTlNOnjwpOPbwww8r0tUrJSXF9KRaYmdnhz59+mD+/PnYuHEjIiPF1+T8/fffyMvLs1J2tuP06dN48803YTAIb4D56KOPYsKECYrn0qJFC9HxzMxMxXOoqcaNG4t2sVTyb67KykpcvHhRsfhUd7FwhYiIiIjuoO4YYXKO/uStH9rY3dXZ5DG6/cfYTYCogWrk7IBFfSPRK8Bb8jEnc4oxdmccrpRUKJiZsrwd7fF1r3A0cRHvSnXDiuSr+DGZu2wSERERERERkW1QqVRo06aN4HhiYqKi7wmLFRcAQGhoqMkYDg4OoosT4+LizE1LMiVj2zpTPzslF1EZjUbRBdchISFQqVQm45j6HnhtKWvgwIFYuXIlXF2FN1Q6e/YssrKyrJhV3WFqwSwLV0iKkJAQwbGrV68qutu8HM8ARELatWsnOGY0GhEbG2vFbGxPTk4OiouLBccHDhwo+zkzMzNtppNh27ZtsWLFCoSHhwvOMRqNOHjwoBWzqvvS0tIwbtw4VFQIrx3o3r07ZsyYYZV8vLy80KxZM8Hx48ePWyWPmtBoNKLFzEoWoaakpECv1ysWn+ouFq4QERER0R3U3p5QBQv/gQUAhoSzMFZW/u+Ypv5QtxLfucaYkQ3DBXYTIGqoXOw0mH1XKJ5o5S/5mMslFXh+1xmcyRV+c7Ou83dxxPze4fB1spc0f2FcKtaev6ZwVkRERERERERE8oiIEN4IqaSkBCdOnFDs3Pv27RMcc3NzM7kL7g2dOwtvzLR//37RhXc18eeffyoStz4IDg4W7eazd+9exc59/PhxlJWVCY6LXfM3Cw8PF/0etmzZYnZuUpw/f75O7zhuTW3atMG4ceNE55w+fVpyPCkFS7bC19dXtCPFwYMHRReGEgGm74dK3qvFYqtUKsn36puPIbqhY8eOouOHDx+2TiI2ylRRaGBgoOzntLViIjc3N0ybNk10DotI/6egoABjx45Fbm6u4Jy2bdtiwYIFsLeX9pm8HMTuFXFxcaJ/U9QVYq+XJ06cgFarVeS8R48eVSQu1X0sXCEiIiKiamlMdV3R6qCPP3vrMT27mIyr33+sJmkRkY3TqFSY1LElJka1gNSPAPIrdXh5Tzz+uSL8RlRdF+TmjPm9IuDhYCdp/ucnL2JLarbCWRERERERERER1VyPHj1Exzdu3KjIeWNjY5GaKrxRUteuXaFWS1sSIfY9VFZWYtu2bWbnZ8rFixdx5swZ2ePWFxqNBjExMYLjly5dMqvgwBy///676Hj37t0lxbG3txctivrnn39QWlpqVm5SmMq/oXnkkUdEx/Py8iTH0mg0ouOVN234Zgv69u0rOFZYWIhNmzZZMRuyRbX1DHDt2jUcOXJEcLxt27bw8fExK6bY77et/W5TzQUHB4t25Nu1a5fVcpGDnZ3w55NKXN/l5eWi497e3rKf0xaffzp06CBaaC9WpFEda/+craWqqgovv/wyLl68KDjHz88PS5Ysgbu7uxUzA/r16yc4ptVqsX//fuslYyGxv7kKCgoU+x7++OMPReJS3cfCFSIiIiKqlsnCFQD6E/G3HRMOuDqbOCYBxhL5P4ghItuhUqkwrG1TzOweAke1tPKVSoMR7x1Kwc8pV2E0GhXOUBmtPV0wr2c4XOyk/Sk+/dg57L4i/UNTIiIiIiIiIqLa0KNHD9FFUlu2bEFVVZXs5/3tt99Ex3v37i05Vp8+feDo6Cg4/t///lf296RWr14ta7z6yNTPUIkF0ZWVldi6davguL29veTCFQC4++67BcfKy8tNXsfmUiKmrfP394ebm5vgeH5+vuRYYvcJwPRC3bpm4MCBouM///yzlTIhWxUZGSlaIHLgwAHk5OTIft6NGzfCYDAIjvfq1cvsmGK/37b2u03yuOeeewTHkpOTsXv3bitmUzNi17cS3bVMdbyQuwtFamqqTf08bta6dWvBsYKCArNiOTg4CI7Zahc1o9GId999F8eOCW+Q6+LigsWLF6Np06ZWzOy6fv36if67L1682IrZWKZHjx6iXceUKDA5f/48EhISZI9LtoGFK0RERERULbWPF1QtxFu0GhLOwlj5vw8cVfb2sOvWSTywXg/d4ZMyZEhEtq5/oC8W9o2Et6O0LiRGAPPOXMackxehM9hm8UqEjxvm3BUmqWBHbwSmHEnBkcwC5RMjIiIiIiIiIrKQp6enaIFBQUEBVq5cKes509LSsGHDBsFxOzs73H///ZLjubm5ie6We+bMGdHzmev8+fNcEC7BfffdJ7oD/tq1a3H16lVZz/nDDz+gqKhIcLx3797w8PCQHO/ee+8VXbz59ddfm1U4YcqiRYuQmZkpW7z6QmzBrqkuKjfz9PQUHTd3Z/Ta1r17dwQFBQmOx8fHK9Yxg+oHtVqNBx54QHBcp9Nh4cKFsp6zqKgIy5YtE53z0EMPmR1X7Pe7rKyMxSsN0JNPPinavU/ua1tJYte3EsVlpjoeZWRkyHq+JUuWiBaz1WVyPaMAgJeXl+CYEj9na/jiiy9EO8BpNBp88cUXiIyMtGJW/+Pu7i76OnjmzBns2bPHihmZz9/fH9HR0YLjf/31F9LS0mQ959KlS2WNR7aFhStEREREJEjTycQfd1od9PEptx7TU7jt/Q36A8dhtNE3DohIXu183PF9v/Zo4eYk+Zi1FzIx+WAyynR6BTNTTmc/T3zaPRQakZ1LbtAajHjrYDLO5BZbITMiIiIiIiIiIss89thjouPffPMNsrOzZTvfJ598ItrFpW/fviYXzN1uxIgRouNz5swxe9fj6hiNRkybNg1arbbGseq7Ro0aoU+fPoLj5eXlmDVrlmzny8jIMLkr8uOPP25WTC8vLwwePFhwvKCgAHPnzjUrppALFy7ghx9+kCVWfVJRUYG8POHO1ubcKxo1aiQ6fvnyZcmx6gKVSoXhw4eLzpk+fTquXbtmpYzIFpl6Bvjvf/+LpKQk2c43b9480d/psLAwREREmB3Xz89PcMxoNCI1NdXsmGTbmjdvjr59+wqOnzx50mYWX4u9filxbZt6bd23b59s59q9ezd+/fVX2eJZm1gRtrl/z1j756y0NWvWYMmSJaJz3n//ffTv399KGVXv6aefFh3/6KOPRF+36oJHHnlEcKyqqkrWv7lOnz4t66YQZHtYuEJEREREgjQdTb+ppz95a/tGtZ8v1KGtRI8xZufBkHKxRrkRUf0R6OaE7/q3Q6dG7pKP2XctH+N2xyOnXHiBQl3Wq4k3pnVtA9OlK0CF3oDX9ycipaBU8byIiIiIiIiIiCwxaNAgBAcHC46XlpZi2rRpMBpr3kX3zz//xM6dO0XnjBkzxuy43bp1Q1RUlOB4bm4uXnvtNdGCGSnmzJmDw4cP1yhGQ/L888+Ljm/btg07duyo8XkMBgM+/PBD0R31W7VqhQEDBpgd+/nnnxfdsf3XX3+t8YLLgoICvPzyyzW+Pq1NjmIwU3bs2CF672nTpo3kWM7OzmjcuLHg+LFjx8zKrS4YNmyY6IL9oqIiTJo0qU5eW08//TRCQ0MF/5s/f35tp9ggtGvXDt26dRMc1+v1+OCDD2S5ho4fP47Vq1eLzrHkGQAAgoKCRO/Vtvj7TTU3ceJE0eti7ty52LVrl9Xy0est29SvRYsWgmOxsbGydytxcXFBs2bNBMfXrl0rSxF3bm4upkyZUuM41bHGM8q1a9dw5syZ/2PvvuNrPt//gb/OyI4sCYIYQURiJBIixB5FlaKf0lq19yqlCFXUqFJVs6hZdNi79gwhYmQjRmJEiOx5xu+P/vSrcs77jJxzkvB6Ph79o+/rfl/3dY6TM9/XfauN16hRQ6d8VapUURsrbc9hZ8+exZw5cwTHDBo0SGMDrinUrVsXH3zwgdr448ePMXbsWJO+l9L1uaJr166CO/acOHHCIM91BQUFmDt3rkG+F6DSi40rREWgUCgQGRmJzZs3Y8aMGejTpw86dOiARo0aoV69eqhTpw4aNGiAgIAAdO7cGQMHDsS8efOwa9cug2+fZQh37tzBhg0bMGnSJHz88cdo1qwZfHx84O3tjcaNG6NNmzYYOHAgvvvuOxw/fhxZWe/3hXPPnz/Hn3/+ieDgYPTu3RstWrRAw4YN4eXlhYYNG6JFixbo3bs3goOD8eeff+L58+fFWm92djYOHDiAadOm4eOPP0bjxo3h7e2NevXqISgoCJ9//jkWLVqE0NDQYnlzEBERgTp16hT6MsnHx8fgW3wTkfbETg4QVa0kOEYRGQdl3n8/YEmD/DXmll0sXR+Mici47M3NsDzICx+4Ca9Y96bY1CwMPnMb99KyjViZ8bR3c8bXDYUb/V7LKJBj3IVoPMzgVvREREREREREVPJIJBKMHDlScMzx48exdOnSIs0TFhaG6dOnC44JCgpCw4YN9co/depUwfjly5cxfPhwpKWl6ZxbLpdj4cKFpWZl7pKiUaNGaNKkieCYKVOm4NatW0WaZ+HChTh79qzgmNGjRwtevKpOrVq10KNHD8Exs2bNwpYtW3TODfyzUne/fv0QHx+v1/nFqUuXLpg/f77Rfg/OzMwUbF4oU6aMzjszCI0/cuQI8vLydMpX3KysrDBhwgTBMVevXsWoUaOQmZlp0LmVSiUb+d4R48aNE4zfvHkT06dPL9LF8fHx8Rg7dqzgxbg1atRA586d9cpvbm4ueJH4vn37eKHte8jT0xOffvqp2rhCocCECROwd+9eo9bx4sULLFu2TGNDrzp16tQRzH3+/Hl9S1OrWbNmamMPHjzAunXripQ/JSUFgwYNMuiujm8KDg7G6NGji/weU8jixYsFnxc1vQd+m9B7lIiICNy5c0enfMUlOjoaEyZMgEwmUzvmgw8+wJQpU0xYlbCvvvoKVlZWauPXrl3DsGHD8PLlS6PVoFQqcfbsWQwYMEDjQg9vs7KywoABAwTHTJkyBffu3StSfbNnzzbq3xSVDmxcIdJDTEwMvv32WzRr1gw9evTA/Pnz8ddff+HatWt4+PAh0tPTkZ+fD4VCgdzcXKSmpuLevXu4dOkStm7diunTp6Ndu3bo1KkTVq1aZdQXJE2ysrKwdetWfPDBB+jSpQu+//57HDx4ENHR0Xjx4gVycnIgk8mQlpaGx48f49KlS9iyZQvGjBmDgIAATJo06b16MVEoFDh+/Dj69u2LFi1a/NuUEh4ejqSkJGRlZUEulyMrKwtJSUkIDw//t7mlRYsW6Nu3L/7++2+Dd6oLycnJwU8//YTmzZtj8uTJ2L17N6Kjo5GWlgaZTIb8/HwkJycjLCwMv/76K/r164dOnTrh8OHDJqtRqVRizpw5Ku+XkSNHomLFiiarhYgKk/h6Cw8okEER9d8PuOK6tQE7W8HTFLdjoExLL2p5RPQOMZeI8W2jmhjoKdww96Zn2fkYeiYCoUmpxivMiD6uXh7j6qlf5ehNr/IKMPJcJO6mvd8N5ERERERERERUMnXr1g3+/sKLGv3yyy+YPXu2XqvNHj9+HEOGDBHcEcPc3BzBwcE6537N398fH3/8seCYS5cuoVu3bjh69KjWF7DeunULffr0wcaNGwvFhHaqoX/MnDkTZmZmauNZWVkYOHCgXqsA5+XlYfr06di8ebPguICAAHTp0kXn/K99+eWXcHR0VBtXKBT47rvvMGLECDx48ECrnDKZDDt27MDHH3+MuLi4/8SqV6+ud62mlJubi82bN6Ndu3YYN24czp8/r/dq8m979eoVRo0aJXh/durUCVKpVKe8Qs9zT548wYwZM5Cbm6tTzuL2ySefICgoSHDM+fPn8emnnxrk+hC5XI4DBw7go48+wrRp04qcj4qfv78/PvroI8ExBw4cwLhx4/RqgLp27Rr69eun8fqqb775BhKJROf8rwn9fd+8eROLFy822HMUlR5TpkwR3LEkJycHU6dOxfTp0/VqblZHqVTi1q1bCA4ORuvWrbF69Wq8evVKr1z+/v4QiURq47Nnz0ZsbKy+parUokULwfjy5cv13nEuIiICn376KWJiYvQ6XxsKhQInTpzA//73P3z66afYs2ePwRb5lsvlWLBgAQ4ePKh2TPXq1VG3bl2d8jZq1EhtTKlU4quvvirxi0c/ffoUw4YNQ3a2+oUrfX19sXjxYsHHtKm5ubnh66+/FhwTEhKCbt26GbxRLDU1FX/++Sc++ugjDBs2DJcvX9Yrz8CBA1GhQgW18bS0NPTv31+v94L5+fmYPn06/vrrL71qo3eLbp++iN5zd+/exffff69xpRVtxcfH46effsKaNWvQq1cvjB07FnZ2dgbJrY0DBw5g4cKFePHihV7nFxQU4ODBgzh48CA6deqEadOmoXz58gausuS4desWZs+ejcjISL3OVyqVuHr1Kq5evQpvb2/Mnj1bcLtxQ4iOjsa4cePw6NEjnc67f/8+Jk6ciAMHDmDx4sWwtRW++Lyo/vrrL9y8ebPQ8WrVqmHgwIFGnZuINJP4eEG292/BMfLwyP80uIgkEkgDG0J27Jz6kxRKyELCYdaxpaFKJaJ3gEgkwgjvKqhoY4mF1+Mh1+LH/yyZHBMuxmBaQ3d8VK2cCao0rD4eFZFZIMOvMY81jn2ZW4CRZyOxrlU9VLNTv2oLEREREREREb0f8vLykJiYaNI5y5UrB3Nz80LHRSIR5s6di549ewpeaLRjxw6EhYVhypQpaN68ucb5EhMTsXz5cuzbt0/j2PHjxxf5gv2ZM2ciLCwMCQkJasc8ffoU48ePR7Vq1dClSxc0atQI7u7ucHBwgFgsRkZGBhISEnD9+nX8/fffCAsLU5nnf//7H2QymdaNCu+rmjVrYuzYsYI79mRmZmLEiBHo3r07xo4dq3FhPKVSiXPnzmHRokUaVw62tbXF3Llz9ar9tbJly2LBggUYMWKE4LjTp0/j7NmzaN68Odq2bYv69eujcuXKsLa2RkFBAVJSUnD37l2EhITg4MGDeP78eaEcIpEI8+bNQ58+fYpUsynJ5XIcO3YMx44dg4uLCzp06IDWrVujUaNGsLS01ClXXl4edu3ahTVr1iApKUntODMzM71+i27fvj1++OEHtfEDBw4gJCQEnTp1Qv369VG1alXY2NgI3g4LCwu4uLjoXIshzZ8/H5988onKx9Rr9+7dQ69evdClSxcMGjRIcAX/tymVSoSHh+Pw4cM4evTovyvkV6qk/UJWVLJNnz4doaGhgn93x48fR1RUFCZPnoyOHTtq3MXq5cuXWLt2LX777TfBlfcB4PPPP0dAQIBetb/WoUMH7NixQ218w4YNOHr0KDp16gRvb29UrlwZNjY2sLCwUHuOtbU1nJycilQXFS8bGxssW7YMffr0EXyPu2vXLhw5cgSffPIJ+vfvDzc3N53nys/PR3h4OI4fP47jx4/j2bNnRSn9X87OzvD19cX169dVxp88eYKePXsiKCgIQUFBqFGjBhwdHWFtbS34d1qhQgW1DaCtW7dG9erVcf/+fZVxpVKJ4OBgXL16FRMnToSrq6vG2/Hs2TOsW7cOO3fuLPScIBKJ0KhRI4SGhmrMo6ubN2/i5s2bmDNnDlq1aoU2bdqgWbNmOv9tv37/uXz5ckRERAiOHTJkiM6NGfXq1UOFChXUPm6io6PRqVMntG3bFgEBAXB3d4ednR2sra0F56pcubJOdRTFrl27BN+LlC1bFjNmzDDaTjtv0vX5u3fv3rh27RoOHDigdkxycjKGDBmCevXqYdCgQejQoYPOTdTAP38Lp06dwvHjxxEaGqrxNVIbVlZWmDVrFkaNGqV2zIsXL/D5559jxIgRGDx4sOAuM6+FhYVh7ty5iI6OLhSrVq0aPwu/h9i4QqQFhUKBtWvXYsWKFQZ5kn9bXl4etmzZgsOHD2PRokUaV7IoquzsbHz99dc4duyYwXIeOXIEFy9exNKlS7X6grm0Wbt2LZYtW2awnVIiIyPRq1cvTJgwAcOHDzdIzreFhoZi+PDhgh+aNDl16hQ+++wzbN682WgfpNPS0rBkyRKVseDgYJU/fBCRaYmdHCCqWgnKh+ovqJZH3YEyPx+iN/5mJYENIfv7PCBw0bn8Uhik7YMgKsLKN0T0buparRzKW5lj2uU4ZMk0r14lVyoxL+wenmTlYpiXW4laYUUbw7zckFkgxx/3NH8BXa9sGVS2Vf8jCBERERERERG9P27evIm2bduadM69e/eqvVjZ3d0dCxYswPjx4wVzxMXFYciQIXB3d0e7du1Qv359uLm5/Xtx/vPnzxEXF4fz58/j0qVLWq1u3r59ewwZMkSv2/QmW1tbrFq1Cp9//jkyMjIExz548AArVqzQa56aNWvi66+/xrx589SOKW3fcRnTsGHDEB4ejtOnT6sdo1QqsXv3buzbtw9BQUFo1qwZPDw84OLiAnNzc2RnZyMhIQE3b97E8ePHtbpISiQSYdGiRYIrrWurdevWGDduHJYvXy44TqFQ4OzZs3ovqDlixAiNux+V5MdWcnIyfvvtN/z2228wMzODl5cX6tSpg5o1a6JixYpwcXGBjY0NzM3NkZeXh+zsbDx//hzx8fG4efMmLl26pNVv5IMGDYK7u7vO9VWrVg1NmzbFpUuX1I558eIFtm7dqnXOxo0b6zTeGMqXL4/Vq1ejX79+gvefQqHA/v37sX//ftSoUQOBgYGoW7cu3Nzc4ODgAAsLC2RlZSE1NRWpqamIi4tDREQEbt++jZSUFBPeIjI1Jycn/PTTT+jXrx8KCgrUjnv8+DEmTpyIxYsXo127dvD19UXVqlVha2sLmUyGV69e4c6dO7h06RLOnDmj1S5tDRo0MMjuPU2aNNF4Ee3jx4+xfv16rXN2794dCxcuLHJtVLy8vLywfPlyjBw5UvDxnZ2djS1btmDLli2oVq0a/Pz84OvrCxcXF9jZ2cHe3h4ikQiZmZlIT09HRkYGnj17hpiYGERHRyM+Pl4wf1F89tlnahtXgH8WsD59+rTge623nTx5Um1Tg0QiwdixY/Hll18K5ti3bx8OHTqEFi1aICAgAHXq1IGDgwOsrKyQk5ODZ8+eITY2FiEhIbh8+bLaa/cGDBgAW1tbozSuvJadnY3Dhw/j8OHDAP757FOvXj3UrFkTbm5uKFeuHOzt7WFhYYGCggLk5OTg1atXiI+PR3R0NM6fP69Vw0XDhg3Ro0cPnesTiUTo3bs3li1bpnZMbm4uDh06hEOHDmmd19C78QjRtKPly5cv8cknn5ikFn2ev+fPn4+XL18Kvk8EgNu3b2PixImwtrZGgwYN4O/vj5o1a8Le3h729vawtbVFdnY2MjIykJGRgbS0NNy5cwexsbGIjo7WuAOZvtq2bYvevXtj586dascUFBTg559/xpYtW9ClSxcEBQXBw8MDzs7OMDMzQ0ZGBh49eoTr16/j6NGjCA8PV5mnWbNm8PX11fvzNJVebFwh0iAvLw8TJ07EyZMnjT7XixcvMGTIEHz99df44osvjDJHSkoKBg4caJSt8tLT0zFs2DDMmjULn332mcHzFweFQoGpU6di//79Rsm9dOlS3Lt3DwsXLtS4koQuHj58iJEjRxapaeW1uLg4jBgxAtu3b9erw1eTZcuWqdzKsn379u9kExRRaSXx8YJMoHEF+QVQRN75z64rYicHiL1rQRERp/Y0ZWo6FFF3IalX25DlEtE7IqC8A35p5Y0vL8YgKUfzDxMA8GvMY7zMLcC0hu4l+sfXt4lEIkxsUA1ZMjkOPVT/haWvcxnMb+IBqQHfOxIRERERERERGVLHjh0xY8YMfPfddxrHxsfH45dffinynAEBAYI7IOjKw8MDq1evxvDhw5GVlWWwvK85OztjzZo1sLW1FRxnjN/mSiuRSISlS5diyJAhaneweU0ulxep8eNN33zzDdq1a1fkPK+NHj0aqamp2LJli8FyvqlTp04aG8eA0vPYKigo+HeVc0MKDAzEuHHj9D5/0qRJuHLlilZNdaVJ3bp1sX79egwbNgyZmZkax9+7d0/jjkX0fvH19cXSpUsxceJEjQsDP3ny5N8L/IvCw8MDa9asMciiqGKxGF999RVGjx5d5Fz07mnevDlWr16NcePGaXU91oMHD/DgwQPs2rXLBNVp9uGHH2LTpk2IjIw02ZydO3fGgQMHNDbDyGQynDp1CqdOndJrnoCAAEyaNAlr167V63x9xcfHIz4+3qA5y5cvjx9//FHv6wj79euHnTt3Gmy3HtKNubk5Vq9ejYkTJ2r1eM7OzkZISAhCQkJMUJ12ZsyYgfj4eI1NYGlpaf82m+vKxcUF8+fPx59//qlvmVSK8UoXIgEymQyjRo0ySdPKa0qlEgsWLMDGjRsNnjsjIwODBw82StPKawqFAt9++y327NljtDlM5fWWhMZoWnnTvn37EBwcrLFjWFuvm23UfZHk7OyM8ePH49ChQwgPD0dISAh+++039OrVS+0XlDdv3sTq1asNUt+boqKiVHboWlpaGmQ1DCIyHImPl8Yx8vDCX3BImwmv6AUAsovX9KqJiN4PNe1tsKF1PdR2sNH6nH0PnuOnWw8N9v7KVMQiEaY3rIHWlVTvdOfpYIMfmnrCkrtUEREREREREVEJ179/f8yaNcskF8e3atUKa9asgaWlpUHzNmrUCFu3bkW5cuUMmrdq1arYsWMH3NzcAAA5OTlqx1pYcNfdN1lbW+OXX35BUFCQ0ecyMzPD3LlzjbJg44wZMzBx4kSDLmwIAP/73/+wZMkSiEQiwccV8H4/tgIDA7Fq1aoiPT/VrVsXX331lQGrKjn8/PywdetWtSvolySaGiPe58d5cerQoQOWLVsGa2tro8/VoEEDbNq0CU5Oqn9X0Ue7du3Qr18/g+Wjd0vz5s2xbds2g+zEZmoSiQRLliyBg4ODyeYUiURYsmQJPDw8jDZH3bp1sWrVKoM0rxW3SpUqYfPmzahQoYLeOWxtbbF06VK+BhYjS0tLrFixAoMGDSpVC22+Zm5ujpUrV6J+/fpGyW9tbY1Vq1YV6XFOpRsbV4gELFq0CBcuXNBqrIuLC7p37465c+di8+bN2LdvH44dO4a//voL69evx6RJk9C6dWut3yR9//33BlkB5jWlUolJkyYhKipK49hatWph7NixWLduHQ4cOIBjx47hzz//xHfffYcPP/xQ4xub1w0fQtsLlgbr1q3Tquvd2dkZ/fr1w08//YQ9e/bg77//xp49e7Bs2TL069cPZcuW1Zhj165dOm0lKmTLli1qt1jz8/PDvn37MGrUKNSsWRPW1tZwcnKCv78/5syZg61bt6qtd82aNYiOjjZIjcA/j5M5c+ao3MJx+PDhqFSpksHmIqKiE5d1hKhKRcEx8qg7UL61VbO4Tk2InOwFz1NE34HiZeGdl4iIXnOxMsealt5oWsFB63N23H2KDdGJxivKSKRiEeY0qoXA8g7/OV69jBV+CqoDW7PSsRIiEREREREREVGfPn2wfv16gzd+vCaVSjFq1CisXr3aaBfHent7Y//+/ejQoYNB8n300Uf4448/UKVKlX+PZWRkqB3PC84Ks7W1xS+//IJhw4ZBYqQFXlxdXbFx40Z8+umnRskPACNGjMDGjRsN8puora0t5s6di3nz5v17n6SnpwueY+hGr9LAzMwMw4cPx/r16w3ynDFw4EDMmTMHVlZWBqiuZPHy8sLu3bvx4YcfFncpahUUFAgu2mplZYXu3bubsCJ6U/v27bFjxw64u7sbbY5evXph27ZtWl2To6sZM2Zg7NixpWZ3KjItb29v7NmzB7169TJ4E6oQkUgET0/PIuWoXr06duzYYdRGkrfZ2Nhg/fr1aNCggcFzt2vXDlu3btW4i2Fp0K5dO/z111+oXr16kXP5+flh8+bNqFhR+BofMh6JRIKpU6diw4YN/y5YYCrOzs5F/gxuZ2eHTZs2oWXLlgaq6h9OTk7YvHmz0ZpiqHRg4wqRGlevXsXWrVs1jnN1dcXChQtx6tQpLFy4EJ9++imaNGkCT09PVKtWDfXq1UPz5s0xbNgwrFmzBqdPn8aIESNgZmYmmFehUCA4OFir7Ve1sWHDBo2NMBUrVsTKlStx8OBBjBkzBi1atICHhweqVauG+vXr45NPPsHSpUtx6tQp9OzZUzCXTCbDl19+idTUVIPUb2rh4eH46aefBMdYWlpi6tSpOH36NIKDg9GxY0d4eXmhatWq8PLyQqdOnRAcHIwzZ85g8uTJGr9YXrZsmdqGE20VFBSobYCpVq0a1qxZA2dnZ7XnN2zYECtWrFD5+JTJZFi3bl2R6nvTnj17VN7eKlWqYMiQIQabh4gMR+LrLTwgvwCKyDv/OSQSiyFp6id8nhKQh5TuZkciMj5rqQSLAz3R07281uesi07EjjtPjViVcZhLxFgUWBstXB0BABWtLbC8eR04WAh/hiAiIiIiIiIiKmkCAwNx5MgR9O3bV+Pvo7rw8/PDX3/9hfHjxxv9gkFHR0f8/PPP2Lp1KwICAvTKERgYiE2bNuGHH34otMq1UIOBMS7GfRdIJBJMmjQJv//+O3x9fQ2W19zcHAMGDMChQ4fQqFEjg+VVp0mTJjh69CimTp0KV1dXnc+3trbGgAEDcPjw4UJNNkINUQAMujtBUcyZMwddunQx+urvQUFB2L9/P7788kuDXojeq1cvHDlyBP369YOdnZ3B8pYE9vb2WLp0KTZu3Ahvbw2/EepBJBKhWbNmmDFjhl7n37x5E9nZ2Wrjffv2hYuLi77lkQF4enpi3759GDNmDGxsbAyWt3bt2ti0aRPmzJljtB0WRCIRxowZg/3796N79+7vZIMaFY2NjQ3mzJmDPXv2oFWrVkbdVaFatWqYMGECTp06hUWLFhU5n7u7O/bs2YNvv/3WZA0s5cuXx7Zt29C3b1+D3Ff29vaYM2cOVqxYYbQG9mHDhqFfv35GbzqoVq0a1q9fj5UrVxr0/Zmvry8OHTqEr776qlTsovauatasGQ4fPowpU6YY9X2Jubk5PvjgA6xZswZnz541SGOIjY0N1q5di6+++sogTe/NmjXDrl272LRCYFswkRqLFy+GUqkUHNOqVSssWrRIpy9RnJ2dMXHiRLRv3x7jxo3D48eP1Y59/vw5fv31V4wbN07r/KokJCRg+fLlgmP8/PywcuVKODo6aszn7OyM+fPno1GjRpgxYwbkcrnKcU+fPsXSpUsxZ84cveouLjKZDDNnzhTcVtbFxQXr16/XqpPd3NwcQ4cORdOmTTF06FC8fPlS7byzZs3Cnj179P6y7Pjx40hOTlYZmz17tlZfljVs2BD9+/fHhg0bCsX+/vtvPH/+vMhduRkZGfjhhx9UxoKDg9+J7RuJ3kUSHy/I9h0XHCO/EVWowUXaxBeyw2cAFTssvSYLuQ5px5YQcdUaIhIgFYvwlU91VLKxxPLbD7U6Z9mtB7Axk6BrNeOs7GksFhIxFjSpjZ9vP8SnNSqgnBVX1yQiIiIiIiKi0snW1hYzZ87EsGHDsG3bNhw4cABPn+q+2IilpSVat26Nzz//HI0bNzZCpcIaN26MLVu24P79+zh58iQuX76MuLg4JCUl/WecSCRCxYoV4eHhgcaNG6Nt27aoWrWq2rwpKSlqY0IL0hFQr1497Ny5EyEhIdixYwfOnDmDvLw8nfNUqlQJH330Efr06WO0HYLUMTc3x6BBgzBgwABcunQJ586dQ3h4OOLj45GVlfWfsZaWlnB3d4enpyeaN2+OFi1aqF1hXN1v0sA/O48Yu1FEW507d0bnzp0hl8sRHh6OixcvIjw8HLdu3Sp0+3Xl4uKCLl26oGvXrvDy8jJQxYW5uroiODgYU6dORVhYGK5fv464uDg8evQIL1++RHp6OvLz8wWvPyjJmjZtit27d+Py5cv4888/cfr0ab3/bSQSyb+Lv3br1q1IFwNfvnxZbczW1paLZZYQ5ubmGDt2LPr164cdO3Zg3759uH//vs55pFIpmjVrhl69eqFNmzZGbRJ4U40aNbBw4ULMnj0bV65cwY0bN3D37l0kJCTg5cuXyMjIQH5+vtrrpujd5+npibVr1+Lhw4f4888/cfz4cTx48KBIOa2treHn54emTZuiadOmRd5lRRWpVIrevXujd+/euH//Pq5cuYLIyEg8ePAASUlJSE1NRXZ2NmQymcbrJ7Vlbm6OmTNnonfv3li7di0OHz6s899OxYoV0bt3b/Tq1UvlexlHR0e1O5bo2iTs4+MDHx8fBAcH4+7duzh//jyuX7+O8PBwtdfmacva2hpt27ZF165d0axZM6PtImhtbY0hQ4ZgyJAhiImJQWhoKKKjo/HgwQM8f/4caWlpyM3NRUFBgVHmp3+Ym5tj8ODB6N+/P/7++28cOHAAly5d0utzy5uqVav27/NEkyZNUKZMGQNV/H9EIhGGDBmCDz/8ECtXrsSBAweQm5urUw5vb28MGzYMHTt2NHh9VDqJlIZ6ZSF6h4SHh6N3796CYxo3bowNGzYU6QL7Bw8eoFevXoK7kjg4OOD8+fNFmmf06NE4ceKE2nidOnWwbds2vbbN2717N6ZNm6Y2LhaLsXv3btSpU0fn3MVl8+bNmD9/vtq4ra0tdu7ciVq1aumcOzY2Fp999pngFzkzZsxA//79dc4NAIMHD8aFCxcKHW/UqBG2bdumdZ7U1FS0atUKOTk5hWKTJ0/G0KFD9arvtXnz5qnc0aht27ZYtWpVkXKXJrGxsQgODv7PsXnz5qF27drFVBGRZrk//ALloyfqB5ibwXL+VxC99bqV/+sfkN+IEsxtPvB/mnd1ISL6/04mvsS3V+8gT6H5I60YwLwAD7StzBUqiYiIiIiIiIiKm1KpxO3btxEWFoaIiAg8fPgQz549Q1ZWFnJzcyGVSmFtbY2yZcvCzc0NHh4e8PPzg7+/v16/Zxpbfn4+MjIyUFBQACsrK9jY2Gi9SF1KSgoCAwPVxrdv3w4/Pw27mtO/MjMzERoaiuvXr+POnTv/Xlj8+sJLS0tL2NjYwNXVFVWqVEG9evXg7+8Pb29vk10ErYvMzExkZWVBJBLBxsYG1tbWWte5YcMGfP/99ypjVatWxd9//23IUg1OoVAgLi4OMTExePjwIR49eoSEhASkpKQgOzsb2dnZyM/Ph5WVFWxtbVGmTBk4OjrCw8MDnp6e8PLygqenp9EuBH2f5eXlITw8HOHh4YiJiUFiYiKSkpL+fQ43MzP79/H6+gJid3d31KpVC40aNYK9vb1B6ujXrx9CQ0NVxsaOHYsxY8YYZB4yvNjYWFy7dg23bt3Cw4cP8eTJE2RmZiI3Nxdisfjfx07lypVRs2ZNNGzYEI0bN9ZqIV6ikuD+/fu4cePGv+9znzx5gpSUFOTm5iIvLw8WFhawsbGBjY0NbG1tUalSJbi7u6N69eqoUaMGateu/V4s+JuSkoLLly8jNDQUUVFRePXqFVJTU5GVlfXvfVSuXDlUr14dnp6eCAoKgqenZ4l4z5aYmPjvv++jR4/w6NEjPH/+HFlZWcjOzkZubi7Mzc1ha2sLW1tb2Nvb/9t87OXlhbp163Inp/dcdnY2bty4gdu3byM2NhZPnjzB06dP/30/pVQq/32esLGx+c97Knd3d9SuXRvly5c3ed2pqak4fvw4Ll68iKioKCQmJhZqQCtXrhxq1aoFPz8/tGnTplRdN0ymwcYVIhXmzJmD3377TW3c2toaJ06cMMjWzCdOnMDo0aMFx6xevRpt2rTRK39ERAR69uypNm5tbY29e/cKrvKjyYwZM/DXX3+pjbdp0warV6/WO78p5eXloXXr1oIr0Pz444/o3Lmz3nPs27cPU6ZMURt3dnbGqVOnYGGh26raCoUC/v7+Kpti5syZg169eumUb9y4cTh27Fih461bt8aaNWt0yvWmmJgY9OjRo9CbFktLSxw6dOi92p6QjStUGhWcuADZfvXNkABgPuhTSHz+u3KVPO4+8ldsFjxP7FEdFmMGFLlGInp/hL9Ix4QL0ciVq9/R6TWpSITFTWujaQX+sEFERERERERERCXDmTNnMHz4cLXx0NBQg13kTe8Xdb/1AqXr93siVXJzc+Hv769yhXgHBwecPHmyRDY6EhEREb1LZDIZMjIykJub++8iAe9D4x0Vjbi4CyAqiYS2FAWAAQMGGKRpBQDatWsHHx8fwTGXLl3SO//69esF4yNHjixS0woATJkyRXAr4dOnT+PevXtFmsNUdu3aJdi0EhQUVKSmFQDo1q0bAgIC1MZfvHiBPXv26Jw3Li5O7U4urVq10jmfumapGzdu6JzrTXPmzFG51ePQoUPfq6YVotJKmx1R5DciCx0T16oGUTnh105F3H0okl7oXRsRvX98ne3wfWBtmIk1r6wjUyrxdUgsrienmaCykkOmxY40RERERERERERUPK5evao2VqFCBTatkF7kcjmuX7+uNs5F9Ki0CwsLU9m0AgBDhgxh0woRERGRCUilUjg6OsLV1RWOjo5sWiGtsHGF6C25ubmIj48XHNOtWzeDzqkpX1RUlF55k5OTBbf4dXZ2xoABRV/Z3t7eHkOHDlUbVyqV2L59e5HnMQWhnXYAYNKkSQaZZ/LkyUWqQ5XIyMIXigOAo6OjXlvDeXp6qjz+6tUrJCYm6pwPAPbu3YuwsLBCx93c3AQfQ0RUcojLOkLk5io4Rh4RB2X+f78sFolEkDbz15hfdvFakeojovdPQHkHzGtcCxItdoXOUygx6VIsol9lGr+wEmB73BOMvRCFrILCTcNERERERERERFS88vPzsXv3brVxf3/N36kTqXLq1CkkJyerjTdq1MiE1RAZnrrFaF1cXNC3b18TV0NERERERNpi4wrRWx4/fgylUv2qxK6urqhevbpB5wwKChKMJyQk6JX30KFDKne2eO2zzz6DhYWFXrnf1qtXL1hbW6uNHz58GDKZzCBzGUt0dDTu3r2rNh4QEAAvLy+DzFW/fn3BL5vj4uIQExOjU051O8W4u7vrlOfN80Qi1VeApqSk6JwvMzMTP/zwg8rYjBkzDPZYJCLjk/ho2HUlvwCK6DuFz2vcAJBKBE+Vh94o1PRCRKRJq0plEexXU6ux2TI5xl2IRnx6tpGrKl777yfhp9sPcT05HWPORyItj8+tREREREREREQlyaFDhwR/c2vSpIkJq6F3yZYtW9TGzM3N4evra8JqiAwvJCRE5fERI0bAysrKxNUQEREREZG22LhC9JaMjAzBeJUqVQw+Z+XKlSEWq/9zTE9P1yvvwYMH1cZEIhF69OihV15VypQpg/bt26uNp6Sk4NKlSwabzxgOHDggGDfk/QUA3bt3F4wL/fupou5xYmdnp1Oe18zNzdV+qaPPY3L58uUqV/Zp3bo1WrdurXM+Iio+El/NTXzy8MK7hYlsrCFpWFf4xOxcyG+o3kGKiEhI56oumOyjXYN5er4MY89H4XFmrpGrKh4nE19iwfX/20Uy6lUWhp+NRHJOfjFWRUREREREREREr2VkZGDFihVq42ZmZmjXrp0JK6J3xcmTJxEaGqo23rJlS8EFKYlKuoyMDERFFf4dsmLFivj000+LoSIiIiIiItIWG1eI3qJQKATjTk5OBp9TLBbDwcFBbVxo1xR1UlJSEBERoTbu4+ODihUr6pxXyIcffigYP3funEHnMzSh+szNzQ3+5XCHDh1gZmamVz2qqGsmsbGx0SmPNufq2rgSFxeH3377rdBxCwsLzJgxQ6/aiKj4iJ2dIHJzFRwjj4hVuXOKpJn63aYAQORaDiIL8yLVR0Tvr//VqICR3m5ajX2RW4DR56PwPCfPyFWZVsizV5gVegdvf6q5n5GDYWci3tlmHSIiIiIiIiKi0mTmzJlITExUGw8KCoKjo6MJK6J3wbNnzzB9+nTBMV27djVRNUTGERoaqvIamlGjRsHcnL8xEhERERGVZGxcIXqLvb29YFypVBplXqG8+uyYERISIpgzKChI55yaNG7cWPCLgJK840pycjLu3LmjNu7j4wNbW1uDzmlnZ4f69eurjcfFxeHFixcGnbO4zJ07FzKZrNDxIUOGwM1Nu4tLiahkkfh4Cw/IL4Ai+m6hw+JqlSGqWP6/By3MIWnaEBaThsDi65GQNNC8owsRkToDaldCPw/tGrSfZudh7PlovMor3GhXGt14kY6pl+MgU/M54El2HoadjUB8eraJKyMiIiIiIiIiKl2ePn2KBw8eGDyvQqHAwoULceTIEcFxAwcONPjcVDLcuHEDOTk5Bs/75MkTDBs2DKmpqWrHVKlSBW3btjX43ESmFBISUuhYtWrV0L1792KohoiIiIiIdMHGFaK3aFq55tWrVwafU6FQIC0tTW1cn9V0rly5Ihhv0qSJzjk1sbKygo+Pj9r4vXv3SmwjhtB2yQAQGBholHmbNm2qNqZUKjXW9SZ1DU5ZWVk616XpXF2aqQ4cOKDydlSqVAnDhg3TuzYiKl4SX83NJfIbkYWOiUQiSJv5AQDE1d1g9llXWM6bBPPeXSGuWhkikcjgtRLR+0UkEmF03SroUb285sEAHmTkYPyFaGQWFG6yLU1iU7Pw5cUY5MmFd5B8kVuA4WcjEZWSaaLKiIiIiIiIiIhKn/v376NTp06YOHEioqOjDZIzJSUFw4cPx8aNGwXHNWrUCAEBAQaZk0qebdu2oU2bNli9ejXS09MNkvPy5cv45JNPEBsbKzhuxIgRkEgkBpmTqLiouhZmzJgxkEqlxVANERERERHpgu/aid7i5OSEihUr4smTJyrjDx8+NPicCQkJUCjUX2BWp04dnXNGRha+WPg1iUQCb28NK+XrqX79+oLNFpGRkWjZsqVR5i6KiIgIwbjQzihFUa9ePcF4ZGQkOnfurFUudc0k+n7hmZ+fr3a1H20bVzIzM7Fo0SKVsRkzZsDS0lKv2oio+ImdnSCq7Apl4lO1Y+S3Y6HML4DI3Ow/xyX+9SGuWQ1i13LGLpOI3lMikQhf+VZHlkyOYwmaG6dfN30sD6oDS2np/OG2jJkEjhZSZMnkGsem58sw+nwkfmjqCT8X4R0niYiIiIiIiIjeVwqFAocPH8bhw4dRr149dOrUCZ06dULFitrt9vtaUlISNm7ciN9//x3Z2cI74UqlUsyaNasoZVMpkJKSgmXLlmHt2rVo2bIlOnfujJYtW+r82+nly5exdu1aXLp0SeNYX19f9OjRQ9+SiUqMAwcOFHcJRERERESkJzauEKng7++P/fv3q4w9e/YM8fHxcHd3N9h8Fy5c0FiPLmQyGeLi4tTG3d3dYWVlpVNObWlqiImOji6RjStRUVGCcS8vzTsL6KNu3bqCcV1WcCpbtqzK4/fv39eppjfPUyqVKmNOTk5a5Vi5ciWSk5MLHW/ZsiW3oSZ6B0h8vSATaFxBfgEU0XchafDfBkyRlSVEVmxcIyLjEotEmOVfA9kyOc4/1bxr4s2XGfj6chwWN60NM3Hp25y0oo0l1rasi3EXonAvXXXz8ZuyZQpMvBCN+U1qI8hV9x0eiYiIiIiIiIjeJ7dv38bt27exePFiVK1aFXXr1oW3tzeqVq0Ke3t72NnZwcLCAmlpaUhLS0NKSgpu3bqF0NBQ3LlzR+1vbm+bMGECPDw8jHxrqKTIycnB0aNHcfToUVhaWqJOnTrw9vaGl5cXypUrBzs7O9jZ2UEulyM1NRVpaWl48uQJrl69irCwMLx4oXnRHgAoU6YMFi5cyF3viYiIiIiIqFixcYVIhS5duqhtXAGAffv2YeLEiQabT2guMzMznS/wf/DgAfLz89XGDdl0o2tuTdsTFxehRh8HBwetGzV0VbZsWdjb2yMtLU1lXJf7S13TUEpKCpKTk+Hi4qJTberuEwcHB1SuXFnj+Xfv3sWWLVsKHTc3N8eMGTN0qoWISiaJjzdkB04KjpHfiCzUuEJEZCpSsRjfBXjgy4vRuJaseRe6kKRUzAq9g7mNPSAVl74fcZ2tzLG6pTcmXohB5KtMjePzFEpMCYnFN41q4gM3ZxNUSERERERERERUuimVSjx48AAPHjzAwYMHDZq7a9euGDp0qEFzUumRm5uL8PBwhIeHGzSvmZkZlixZgmrVqhk0LxEREREREZGuSt8yskQm0KJFC8EvbrZs2YKXL18aZK4TJ07gxo0bauOdO3fWueEgISFBMF6lShWd8umiatWqgnFNtRWHrKwspKSkqI1ruk1FJfTv8eLFC41bhr9Wq1YtWFtbq4ydO3dO57rOnDmj8niDBg20Ov/bb7+FTCYrdHzw4MFGv0+JyDTELk4QVa4gOEYeEQdlfoGJKiIiKsxCIsbipp7wdrLVavypxylYcP0eFFquglnS2Jub4efmXvB3sdNqvFypxDehd7A7PsnIlRERERERERERkTo9evTAwoULi7sMesdYWlri559/RsuWLYu7FCIiIiIiIiI2rhCpIhKJMG3aNLXx7OxsTJgwQXBXE208ePBAcOcJa2trjBkzRue8iYmJgnFtdsvQl5WVFcqWLas2rqm24lCc95c2+R8/fqxVHolEAh8fH5Wxw4cP61RTZmam2sYVPz8/jecfOnQIoaGhhY5XqlQJI0aM0KkWIirZJD6qd3v6V14+FDF3TVMMEZEa1lIJfmzmiZp2qpt833bwYTKW3XoAZSltXrExk2Bpszpo7uqo1XglgEXh8dgaq937TiIiIiIiIiIiMgxzc3MEBwdjwYIFkEgkxV0OvUPc3d3xxx9/oHXr1sVdChEREREREREANq4QqdWqVSv07NlTbTw0NBTjxo1DWlqaXvkjIiIwaNAgpKamqh0zadIkvXZHefLkiWDc2dlZ55y6EGpcefXqFXJycow6v66K+/7SlF9TfW/q3r27yuMXLlwQ3NnnbRs3bkRmZmah4xKJBN26dRM8NysrC4sWLVIZmzZtGiwtLbWug4hKPomvl8Yx8vAoE1RCRCTM3twMy5vXQWUb7d6L/H73GdZFl7yma21ZSMRY2MQDHd20fy+7IuIRVkU8KrUNO0REREREREREhlK2bFlUqlTJaPlFIhHat2+PQ4cOoV+/fkabh0oeDw8PWFlZGS1/mTJlMGnSJOzbtw+1a9c22jxEREREREREumLjCpGA2bNno3nz5mrjp0+fxscff4y9e/eioKBAq5wvX77EsmXL0Lt3b8GdNPr06YO+ffvqXDPwT3OIEBcXF73yaqtcuXKCcU31mZqmeozduKLp30OX+6tjx45wcnJSGZs1axays7M15oiKisKGDRtUxtq0aYMKFSoInr9y5UokJSUVOh4UFIT27dtrnJ+IShexS1mIKgk/L8gjYqHU8nWSiMiYylqaY0VzL5S3Mtdq/IboRPwWp30TcUkjFYvxTaOa6OleXutzNsc+xuIb96Fg8woRERERERERvcdq166NU6dO4c8//8TQoUPh5eVlkB1RKlSogP79++Pw4cNYsWKFXosYUuk2bNgwhISEYNmyZejSpQvKl9f+uzt1xGIxfHx8MGvWLJw9exbDhg2Dubl234ESERERERERmYq0uAsgKsnMzc2xcuVKTJkyBUePHlU55smTJ5g6dSp++OEHNG/eHA0bNkTVqlVhZ2cHKysrZGRkIDU1FTExMQgLC8OFCxeQn58vOG+/fv0wY8YMvesW2sUF+GeVFWPSlD81NRUVK1Y0ag260HR/2dnZGXV+be4vbZmbm+OLL77A0qVLC8ViY2MxduxYLFmyBA4ODirPj4iIwKhRo1TuiiMWizFkyBDB+e/du4ctW7YUOm5mZobg4GDtbgQRlToSXy/IHj9TPyAvH4roe5DU9zRdUUREarjaWODn5l4YfjYCr/JkGscvv/0QNmYSfFy96D8gFwexSISvfKrD1kyKzbHqG+fftCs+CVkFcsz0rwGpmOtdEBEREREREdH7q379+qhfvz4mT56M7Oxs3L59G1FRUUhISMDjx4/x5MkTpKenIzc3Fzk5OcjPz4e5uTksLS3h4OCAChUqoGrVqvDy8oKvry88Pfk9OQFWVlbo1KkTOnXqBAB4+vQpbty4gbt37+Lx48d4/PgxkpKSkJ2djZycHOTm5kKpVMLCwgJWVlZwcXGBq6sratasCW9vbzRu3Bhly5Yt5ltFREREREREJIyNK0QaWFhY4KeffsKff/6J77//Hunp6SrHJScnY/fu3di9e7feczk4OGDu3Lno0KGD3jkAIC0tTTBua2tbpPyaaMqvqT5TK+n3ly6NKwAwePBgHDt2DJGRkYViFy5cQNeuXdG3b1+0bdsWFStWRF5eHh48eID9+/fjjz/+ULt70BdffAEfHx/BuefOnavy/EGDBqF69eo63Y7SIDw8vEjnJyYmGqgSouIl8fGG7OApwTHyG5FsXCGiEqNqGSssD/LCyHORyCyQaxy/8Ho8rKUSdHAz7k58xiISiTCqbhXYmkmwMuKRVuccTXiBLJkc8wM8YC5h8woRERERERERkbW1NQICAhAQEFDcpdA7xtXVFa6ursVdBhEREREREZFRsXGFSEv/+9//0LFjR2zZsgU7duxAcnKywXI7ODigf//+GDBggEGaJLKzswXj1tbWRZ6jKPk11WdqJf3+UrX7iRCpVIpFixbhf//7n8pzk5KSsGTJEixZskTrnB4eHpgwYYLgmCNHjiAkJKTQcVdXV4wcOVLruUqT3r17F+l8a2tr1KxZ00DVEBUfcbmyEFWqAKXArivy27FQFhRAZGamc36lUglk50BkY9znYyJ6v3g42ODHZnUw9nwUcuUKwbFKALOv3oW1VIIgV0fTFGgE/WtXgq2ZFN+Hx0OpxfjzT18hODQO8wM8uPMKEREREREREREREREREREREemNV54Q6aBMmTIYPXo0zp8/j4ULF8LBwaFI+Tw8PLB27VqcP38eo0ePNtjOHjKZTDBupsdFw7rQlF/djh7FRdP9JZUat8fPGPdXrVq18PPPP8PCwkLfsv5VtWpVrF+/XjBXdnY2Fi1apDI2bdo0WFlZFbkOIirZJL5ewgPy8qGIuadTTmVWNmRnryBv0RrkLd/0TwMLEZEB1S9bBosDa8NMLNI4Vq5UYvrlWIQll6zdA3XVw708vm1cCxKR5tsMAGefvMLsq3ch53MwEREREREREREREREREREREemJO64Q6SAzMxPbt2/Hvn37cPfu3SLni4uLw7Rp09CqVSv07t0bDRo0MECVmhsdJBKJQeZRR1Ojh6ZGEVPTdH8Zu3HFWPdX8+bNsWXLFkyYMAFPnz7VK0dgYCCWLl0KJycnwXGrV69WOUezZs3wwQcfaDWXUqnE5cuXcfbsWdy8eRMJCQlIT0+HXC6HjY0NKlasiDp16qBp06Zo27at0XfCISLdSHy8ITt4SnCMPDwKknqegmOUCgUUdx9AHnId8pvRgEz+f7FHjyGqWtkg9RIRvda4vAO+a+yBaVdiIdfQm5GnUGLypRisaO4Fb6cypinQCD5wc4aNVILpl2ORp9DckHI88SUspWJMb1gDYi0bXoiIiIiIiIiIiIiIiIiIiIiIXmPjCpEWCgoK8Msvv2DTpk1IT083aO6UlBTs3r0bu3fvRmBgICZMmAAfH58i5SzuHUQ0NcaUtMYVuVwuGDd2o4+m/EXZocbHxwcHDx7E6tWrsX37dmRnZ2t1XuXKlTF69Gh0794dIg0XJ96/fx8bN24sdNzMzAzBwcFazbdv3z6sWLECjx49UhlPS0tDWloaoqOjsXv3btja2mLAgAEYOnQod3MhKiHE5cpCVKk8lI+T1I6R346BsqAAIhU7TSnz8iA7cwXyy+FQvnyl8nxZyHWYs3GFiIygZSUnzPSvidlXNTenZ8sUmHAhGmta1kUN+9LbSBvk6ogfg+pg8qUYZMsUGscfeJAMS4kEkxpU0/j+kIiIiIiIiIiIiIiIiIiIiIjoTWxcIdIgPj4ekydPRmRkpNHnCgkJQWhoKIYPH47Ro0fr3WCi6Ty5XG7UZozibgTRlaZ6FArNF/IVhab7q6iNRra2tvjqq68wcuRInDhxApcuXUJ0dDSePXuGrKwsiMVi2Nvbw83NDfXq1UOrVq0QGBgIsVisVf558+apbK754osv4O7uLnhuamoqJk+ejPPnz+t0mzIzM7Fy5UocPHgQy5cvh6en8A4OxrJz584inZ+YmIgtW7YYqBqi4ifx8YZMoHEFeflQxNxTveuKWAzZ6RAgO0ft6fKwCCi7fwCRhYUBqiUi+q9OVVyQVSDH4hv3NY5NL5Bj7IUorG3pDTfb0ttE6+dij5XNvTH+YjTS8zU3l/957xksJWKMrluFzStEREREREREREREREREREREpDU2rhAJuHXrFgYNGoSMjAzBcWKxGE2aNEHjxo3h5+cHV1dX2Nvbw8rKChkZGUhNTcWDBw9w9epVXLx4EbGxsWpzyeVyrFq1Cjdu3MDq1athaWmpc91mKlayf3sOYzaPaNpRRVN9pqapHmPvEGOq+8vW1hYff/wxPv74Y4PkA4C///4bFy5cKHS8QoUKGDVqlOC5ycnJ6NevH+7f13xxqDoPHz7EZ599hnXr1sHf31/vPPry9fUt0vnW1qV3lXYiVSS+XpAdOiU4Rh4epbJxRWRmBkmj+pCfvaL+5Lx8yMOjIG1StL89IiJ1PqlRAVkyOVZFqN4F7k0vcwsw9nw01rb0Rnnr0ttQ5+Vki7UtvTHmfBRe5mre6W9r3BNYSsUYUsfNBNURERERERERERERERERERER0btAu+X0id5D0dHRGDx4sGDTikgkwieffILDhw9j48aNGDlyJBo3bgw3NzfY2dnBzMwMTk5OcHd3R5s2bTB16lTs378fmzZtQuPGjQXnv3TpEkaPHo38/Hyda9e0Q4c+OXVR2hpXNN1fqnYTMaTSdn+9lpOTgwULFqiMTZ06VbApIz8/H8OGDStS08pr2dnZGD58OB4+fFjkXERUNOJyzhBVLC84Rh4RC2WB6uc9bRpS5CHX9aqNiEhbA2pXQv/aFbUa+zQ7D+MuRONVnnHfLxqbu501fg7ygr25dmtbrItKRGxqlpGrIiIiIiIiIiIiIiIiIiIiIqJ3BRtXiFTIzs7GuHHjkJ6ernaMo6Mj1q5di++++w7Vq1fXKX9gYCC2bNmCL7/8UnDnkwsXLmDx4sU65QY07+KQnZ2tc05dZGUJX8RW0naZKOn3l5WVlVHn19eaNWvw5MmTQscDAwPRuXNnwXN//vlnREVFqYyZmZnhs88+w44dO3D58mXcuHEDhw4dwoQJE+Ds7KzynMzMTEybNg0KhUL3G0JEBiXx9RIekJsHRcw9lSFxpQoQVa0keLrifgIUz5L1LY+ISCujvKugp7twI95rDzJyMCUkFnny0v0+pIa9NX4KqgMbqfDOjCIA0xu6o7aDjWkKIyIiIiIiIiIiIiIiIiIiIqJSj40rRCosXrwYjx49Uhu3s7PDb7/9hpYtW+o9h0gkwvDhw7Fw4ULBcVu3bsXly5d1ym1vby8Y19QoUVSa8muqz9RK+v3l4OBg1Pn18fDhQ/z666+FjpuZmWHmzJmC596+fRsbNmxQGStfvjx27tyJ2bNno2HDhnB0dISVlRVq1qyJkSNHYt++ffDz81N5blhYGLZu3ar7jSEig5L4eGscI78RqTYmDWyo+fzL3HWFiIxLJBJhsk91dKyiumn2bbdeZmBe2F0olUojV2ZcdRxtsSyoDqwkqr8qkIiAbxvVRLfq2jX1EBEREREREREREREREREREREBbFwhKuTx48f4/fff1cZFIhF++ukn1KhRwyDzde3aFSNGjFAbVyqV+P7773XKqakRQ2gnGUPQlL+0Na6kpaUZdf6MjAzBeEm7vwBg3rx5yM/PL3S8f//+Gv821q1bB7lcXui4lZUV1qxZg7p166o919nZGatXr0bVqlVVxjds2ACZTKaheiIyJnF5Z4gqlhMcI78dC2WB6r9Via83YG4meL7syk0o+bdOREYmFokw068mWrg6ajX+74SX+CUqwchVGV/9smXwQ1NPmItF/zkuFYkwP8ADH1RxKabKiIiIiIiIiIiIiIiIiIiIiKi0YuMK0Vu2bt2q8qL61zp27IimTZsadM7Ro0fD1dVVbTwyMhKhoaFa53NychKMJycna51LH5ryOzpqd/GfqWi6v168eGHU+Z8/fy4YL2n314kTJ3Du3LlCx8uXL4/Ro0cLnpuUlISTJ0+qjA0ZMgReXl4a57e3t8fs2bPV5j9x4oTGHERkXBp3XcnNgyL2nsqQyMryn+YVIVnZUNyO1bM6IiLtScUizAvwQCMX7RqJf415jMMPjfte2xT8y9ljYZPakIr+aV6xEIuwuGlttKpUtpgrIyIiIiIiIiIiIiIiIiIiIqLSiI0rRG/Zv3+/YHzs2LEGn9Pc3BzDhg0THLNr1y6t8wk1wQDGb8QQyu/o6Ahra2ujzq+rknx/AUClSpWMOr8ucnNzMX/+fJWxqVOnwsbGRvD8ffv2qdwRxdbWFgMHDtS6jqZNm8Lf319lTJe/FSIyDomv5iY0+Y0o9ecHNtR4vizkuk41ERHpy0IixvdNa6Oek61W478Lu4frycbdsc8Umrk6Ym5ALdiaSbC0WR00rVCymqmJiIiIiIiIiIiIiIiIiIiIqPRg4wrRG+7du4eXL1+qjdesWRM1atQwytwdOnSA6P+vaKyKLjuuVK5cWTD++PFjrXPpKicnR/A+1FRbcSjO+wsAEhMTBeMlqXHll19+UXl/NG7cGB9++KHG88PCwlQeb9Wqlcaml7d16dJF5fHw8HAolUqdchGRYYnLu0DkWk5wjPx2DJQFhRvZAEBc3Q2i8s6C5yti70GRkqpviUREOrGW/tO8Ua2MlcaxMqUSU0Ni8TAjxwSVGVebSmWxp2ND+JfTbscZIiIiIiIiIiIiIiIiIiIiIiJV2LhC9Ibw8HDBeLNmzYw2t7OzMzw8PNTGnzx5gqdPn2qVy83NTTD+8OFDnWrTxaNHjwTjJbFxxdbWFo6O6leQNub9BQAJCQlqY2XLli0xO9QkJCRg/fr1hY5LpVLMmjVLqxw3btxQebxVq1Y619O6dWuVxzMyMnD37l2d8xGRYUl8vYUH5ORBERevMiQSiTTvuqIE5Fdu6FccEZEe7Myl+LGZJxwtpBrHphfI8eXFaKTmFZigMuOyM9d8e4mIiIiIiIiIiIiIiIiIiIiIhLBxhegNz549E4y7u7sbdX5Nu7lo27hSrVo1mJubq43Hx6u+UNgQ7t27JxivXbu20eYuCqGmoVevXiElJcUo8758+RKpqalq4yXp/po3bx7y8vIKHe/Xrx9q1aql8fzExES1t1Wf21mhQgXY26te/TsyMlLnfERkWBJfL41j5OHq/1aljeoDEuG3qvLL4VAqFDrXRkSkr4o2llgc6AlzsfqdEl9LzMrDlJBY5Mv5PEVERERERERERERERERERERE7zc2rhC9QaiBAIDgrhyGoCn/q1evtMpjZmYm2EgQHx+P3NxcnWrTlqaGAS8vzRcyFwdvb+GdAaKioowyb0REhGC8Tp06RplXV6dOncKZM2cKHXdxccGYMWO0yqGu+UckEqFatWp61aWumezly5d65SMiwxGXd4HItZzgGPntGChlMpUxURlbiOt5Cp6vfJUGRazxmjGJiFSpV7YMvmlUU6uxN19mYF7YPSiVSiNXRURERERERERERERERERERERUcrFxhegN2dnZgnFbW1ujzl+mTBnBeGZmpta56tatqzYml8s1Nkzo69atW4Lx0tq4oul26ev27duCcU11mUJeXh7mz5+vMjZlyhSt/y7S0tJUHre2thbcIUiIuh1X0tPT9cpHRIYl8dHwnJ+TJ9h4Im3iq3EOech1XcsiIiqydpWdMdK7ilZjjyW8wProRCNXVPLkyuWYF3YXjzON0zBPRERERERERERERERERERERKUHG1eI3mBhYSEYN/bF8Oou7H9NU31vaty4sWD88uXLWufSVm5uLm7cuKE27u7uDhcXF4PPawjFcX8BQEhIiGA8ICDAKPPqYt26dUhISCh0vFGjRujatavWeTIyMlQet7a21rs2Gxsblcc1/S0RkWlIfDU338nD1e/UJfasAZGjnfD5t2OgzMjSuTYioqIaULsiPqqm3Xvb9dGJOPIo2cgVlRzZMjm+vBiDAw+SMfp8FJKy84q7JCIiIiIiIiIiIiIiIiIiIiIqRmxcIXqDpp0jXr16ZdT5NeVXd5G+KoGBgRCJRGrjFy5c0DqXtq5cuYL8/Hy18WbNmhl8TkMpV64catasqTYeHh6u04432khPT8fNmzfVxj08PODs7GzQOXWVkJCAX375pdBxqVSKWbNm6ZRLqVSqPC70ONVE3bnq5iIi0xJXcIHIVfiibvntWChlMpUxkVgMSYCGXVfkCsiuqn8uJSIyFpFIhKm+7vBzEW6we+27sHsIT373d4XLLJBh/IVohP3/2/o0Ow9jzkfhZa76zwlERERERERERERERERERERE9G5j4wrRG1xdXQXjcXFxRp0/JiZGMK6pvjeVLVsW3t7qV7q/ceMGnjx5onU+bRw6dEgw3rx5c4POZ2gtWrRQG8vPz8eJEycMOt/ff/+NgoICveoxlfnz5yMvr/AK2X369IGHh4dOucqUKaPyeFaW/jslqDvX3t5e75xEZFgSHw27ruTkQhEbr/78Jr6Ahv42+eVwNqwRUbEwE4uxsEltVCtjpXFsgUKJKZdj8SgjxwSVFY/UvAKMOheFWy//u9Peo8xcjD0fhbQ89e99iYiIiIiIiIiIiIiIiIiIiOjdxcYVojdUq1ZNMH7x4kWjzZ2YmIgHDx6ojUskElSuXFmnnF26dFEbUyqV2L17t075hGRkZOD48eNq405OTiV6xxVA+P4CYND7CwD27NkjGP/oo48MOp+uzp49i1OnThU67uLignHjxumcT10zSXZ2tmADj5C0tDSVx+3stFv5nIiMT+LjpXGM/EaU2pjYyQHi2jUEz1c+S4biQaLOtRERGYKduRRLm3rCwVyqcWx6vgwTL8a8kw0cL3PzMfJcJGJTVTcW30vPwbgL0cgsUL3LFhERERERERERERERERERERG9u9i4QvSGevXqQSRSv6z7o0ePcPv2baPMffDgQcF47dq1YWlpqVPODz/8EBKJRG18x44dyM/P1ymnOr///juys7PVxjt16gSpVPPFfMXJ29sbNWqovzj6ypUriI6ONshct27dwrVr19TGa9WqBU9PT4PMpY/8/Hx89913KmOTJ0+Gra2tzjmdnJxUHlcqlbh//77O+QAgPl71Lg3q5iIi0xO7loOogovgGPmtGChl6i9klgY21DiPPOS6zrURERlKJVtLLG7qCXOxhi2iACRm5WLK5VjkyxUmqMw0knPyMfxsJOLThXeTiUnNwsSLMciWyU1UGRERERERERERERERERERERGVBGxcIXpDmTJl4O3tLTjmp59+Mvi8GRkZ+PXXXwXHNGnSROe85cqVQ/v27dXGX7x4gU2bNumc921paWlYt26d2rhIJEKfPn2KPI8paKpzyZIlBplHU57ivr/Wr1+Phw8fFjru5+eHjz/+WK+clStXhoODg8pYbGyszvmSkpKQmpqqMqbp75iITEvjris5uVDEqW9gE9etDdhYC6aQX4+AMjdPn/KIiAyiftkymOlfU6uxN15k4Lvr96BUKo1clWmUMZegvJW5VmNvvczAV5dikCtn8woRERERERERERERERERERHR+4KNK0Rv6dSpk2D8/PnzOHTokEHnnDdvHtLS0gTHdOzYUa/cgwcPFoyvXr1aZYOCLr7//nu1DQQA0KpVK8GdTLTVr18/1K5dW+1/P//8c5Hn6NmzJxwdHdXGz58/j8OHDxdpjn379uHy5ctq405OTujRo0eR5iiKx48fY+3atYWOSyQSzJo1S++8IpEI9evXVxk7c+aMzvlOnz6t8riNjQ1q1aqlcz4iMh6Jr+ZmMnl4pNqYyEwKSSPVzx//yi+A/HqErqURERlUBzdnjPB202rs0UcvsCEm0cgVmYalRILFTT1Rv2wZrcZfS07HtMtxKFC8O7vOEBEREREREREREREREREREZF6bFwhekuPHj1gaWkpOGbatGm4fv26QeZbsWIF9u7dKzjGy8sLDRo00Ct//fr10bp1a7Xx7OxsTJgwAZmZmXrl37NnD/766y+1cbFYjDFjxuiVuzhYWlpi+PDhgmNmzpyJu3fv6pU/NjYW3377reCY4cOHw8LCQq/8hrBgwQLk5uYWOv7555/D09OzSLn9/PxUHj9z5ozOj0F1DWS+vr4Qi/nyRlSSiF3LQVTeWXCM/HYMlAKr70sDG2qcRxZimNdmIqKi+KJ2JXxY1UWrseuiEnHsUbKRKzINa6kEPzbzhKeDjVbjLz1LxczQO5Ap3o1dZ4iIiIiIiIiIiIiIiIiIiIhIPV7ZS/QWJycnfPrpp4Jj8vLyMHDgQPz55596z5OTk4Np06ZptUvIyJEj9Z4HAKZPnw5zc3O18aioKAwbNgyvXr3SKe/evXsxY8YMwTE9e/ZE3bp1dcpb3Pr27Qt3d3e18czMTHzxxReIiYnRKW9UVBQGDRqErKwstWNq1KiBvn376pTXkM6fP4/jx48XOl62bFmMHz++yPm7desGiURS6HhmZiZ+/fVXrfNcvnwZoaGhKmM9e/bUuz4iMh6Nu65k50IRG682LHYtB3G1yoIplA8fQ/EkSZ/yiIgMRiQSYVpDdzR0sdNq/Nywe7jxIt3IVZmGrZkUy4PqoIadlVbjTz9Owdywu1Ao2bxCRERERERERERERERERERE9C5j4wqRCuPGjYOLi/Aqybm5uQgODsbgwYNx+fJlrXPn5+fjjz/+QNeuXbF7926N45s1a4YOHTponV+VKlWqYOzYsYJjwsLC0KNHD5w8eVJjvhcvXmD69OmYOnUq5AKr45cvXx6TJk3Sud7iZmZmhrlz56pssHgtOTkZvXr1wq+//or8/HzBfPn5+Vi/fj169+6NFy9eqB0nkUgwd+5cSKVSvWsvivz8fMybN09l7KuvvkKZMmWKPIerqyvatGmjMrZhwwZERkZqzJGeno5vvvlGZczFxQXt27cvUo1EZBwSHy+NY+Q3ooRzaLPryuVwrWsiIjIWM7EYC5t4oIqt8E6OAFCgUGJKSCwSMnNMUJnx2VuY4efmXlrddgA4+ugFFoXHQ8nmFSIiIiIiIiIiIiIiIiIiIqJ3VvFcHU1UwpUpUwaLFy/G4MGDBRszAODChQu4cOECqlWrhoCAADRs2BAVKlSAg4MDrKyskJ6ejtTUVNy/fx/Xrl3DlStXkJqaqlUdzs7OWLBggQFuETB06FBcuXIFFy5cUDvmyZMnGDVqFDw8PNCxY0c0aNAA5cuXh7m5OdLS0nD37l1cvHgRJ06cQG5uruB8EokES5cuhaOjo0HqNzV/f3+MGzcOP/74o9oxubm5WLRoEX799Vd07twZ/v7+qFKlCqytrZGVlYVHjx7h6tWrOHz4MF6+fKlxzvHjx8PPz8+QN0MnGzduxIMHDwod9/X1xccff2yweYYOHYqTJ09CoVD853hubi5GjhyJlStXol69eirPffnyJcaPH6+yTgAYMmQIzMzMDFYrERmOyLUcROWdoUxS38AnvxUNZa8uEKlpHJQ09EbB7qNAnvqGQXnoTSg/ageRGd/mElHxsjc3w4/N6mDQ6dtIy5cJjk3Ll+HLizFY37ou7M1L/3uZspbmWNHcC8PPRuJpdp7G8XvvP4elRIIJ9atCJBKZoEIiIiIiIiIiIiIiIiIiIiIiMiWRksuaEqn1+++/45tvvimW1X9tbW3x66+/okGDBgbLmZaWhn79+iE2NtZgOVURiUSYO3cu/ve//xk0b79+/RAaGqo2PmbMGI07y+hCqVTi66+/xt69ew2WU53u3btjwYIFxXah3tOnT9G5c2dkZ2f/57hEIsGuXbtQp04dg873uuFHFTMzM3zyySfo1q0bqlevDgsLCzx58gQnTpzA1q1bkZycrPI8Pz8/bNu2DWJx6dlMLDY2FsHBwf85Nm/ePNSuXbuYKiIyroLDpyE7elZwjPmIPpB41VIbz9+xH/KQ64I5zL74BNKGdfWqkYjI0G68SMeY81EoUGj+TNHQ2Q7Lm9eBWSl6PyPkcWYuhp+NQHJugVbjB3pWwgjvKkauioiIiIiIiIiIiIiIiIiIiIhM7d24GobISHr16oX58+ebfAcHFxcXbNy40aBNKwBgb2+PjRs3wsPDw6B53yQWizFz5kyDN60UB5FIhPnz56NLly5GnadLly747rvvinV16QULFhRqWgGA3r17G7xpBQAmTpyotjmjoKAAO3bsQO/evREQEAAfHx907twZS5cuVdu0Ymtri4ULF5aqphWi95HEx0vjGPmNKMG4NLChcAILcyAjU5eyiIiMysfZDjP9a2o19vqLdMwPiy+WxnljqGRriRXNveFood0uWBtjHmNr7GMjV0VEREREREREREREREREREREpsYrfIk06NGjB7Zv347q1aubZL6goCDs3r0b9evXN0r+smXLYufOnWjXrp3Bc5cpUwZr1qxBnz59DJ67uEgkEvzwww8YN26cwRtLRCIRxo8fjyVLlkAikRg0ty4uXbqEY8eOFTru5OSE8ePHG2VOc3NzrFu3DlWrVi1yLmtra6xduxZVqnB1bqKSTuRaDqLyzoJj5LdioJTL1eeoWgkiV5dCx8XV3WD2eTdYzpsEacsmRa6ViMiQPnBzxjAvN63GHn6UjI0x707zRjU7K/zc3At2Ztq9310R8Qi7458ZuSoiIiIiIiIiIiIiIiIiIiIiMiU2rhBpoX79+ti/fz8mT54MJycno8xRs2ZN/Pjjj9iwYQPKlStnlDles7GxwcqVK7Fo0SKULVvWIDk/+OADHDp0CC1btjRIvpJEJBJh9OjR2Llzp8F2H6lTpw527tyJUaNGGSSfvgoKCjB37lyVsUmTJsHe3t5oc5cvXx6///47mjZtqneOqlWrYseOHfD39zdgZURkLCKRSPOuK9k5UMTdF8whbfL/d12xsYa0TSAspo+GxcTBkDbxhcjCwoAVExEZziDPSuhcpXDjnSproxJwLOGFkSsynVr2NvgpyAvWUu2aV74Pv49jj1TvtEdEREREREREREREREREREREpY+0uAsgKi3Mzc0xdOhQ9OvXD4cPH8b+/ftx9epVyGQyvXNaW1ujdevW6NatG1q0aGHwHT00+fjjj9GuXTvs2rUL27Ztw6NHj3Q638zMDO3bt8cXX3yBBg0aGKnKksPHxwe7d+/G8ePHsXnzZoSFhemcw8/PD/3790f79u2LdZeV1zZt2oT4+PhCx318fNCzZ0+jz+/o6Ihff/0Ve/bswcqVK5GYmKjVeba2tujfvz+GDRsGKysrI1dJRIYk8fWG7Ng5wTHy6xGQ1KmpPkfjBhA52kNc1wMiKd/OElHpIBKJMK2hO55m5yL8RYbG8fOu3UUFK3M0cLYzQXXG5+Vki6XNPDH+QjTy5ArBsUoA3167CyupBC0qGmfhACIiIiIiIiIiIiIiIiIiIiIyHZFSqVQWdxFEpVVWVhauXbuGiIgI3L17F48fP0ZycjLS09ORl5cHmUwGMzMzWFpawtHRES4uLqhSpQo8PDxQv359NGjQANISdMFtTEwMzp8/j+joaNy9excvXrxAVlYWCgoKYG1tjTJlyqBKlSqoVasWGjVqhGbNmsHW1ra4yy42SUlJOHv2LG7cuIF79+7hyZMnyMzMRG5uLiwtLWFra4uKFSuiRo0a8PHxQcuWLVG+fPniLvtfSUlJ6NixI7Kzs/9zXCwW488//0TdunVNWo9CocDly5dx5swZ3Lp1CwkJCUhLS4NCoYCNjQ1cXV3h5eWFpk2bol27drC2tjZpfcYQGxuL4ODg/xybN28eateuXUwVERmfUqlE3ncroHz+Uv0gSwtYfjcZIjMz0xVGRGQiaXkFGHwmAgmZuRrHOphLsaF1PVS2tTRBZaZxJSkVky7FoECh+asIc7EIS5vVQaNyxtsFkIiIiIiIiIiIiIiIiIiIiIiMj40rRERExYSNK/S+Kjh0SuOuK+aDPoXEx8tEFRERmdajjBwMPhOB9HzNuzdWtbXE+tb1YGdechrei+r8kxRMvRwHuRZfR1hJxPi5uRfqlS1jgsqIiIiIiIiIiIiIiIiIiIiIyBjExV0AEREREb1fJH71NI6Rhd02QSVERMWjShkrfB9YG2ZikcaxDzNzMfVyLAoUChNUZhrNKzrhm0Y1ofnWAzlyBSZejMadtCyj10VERERERERERERERERERERExsHGFSIiIiIyKXEFF4gqVRAco4iIgzI7x0QVERGZnq+zHYL9amg19npyOhZcj8e7tGHqB27OmOrrrtXYjAI5xp2PxqMMvi4QERERERERERERERERERERlUZsXCEiIiIik5P4a9h1RS6H/Ga0aYohIiomHau4YGidylqNPfQwGZtjHxu5ItPq7l4eY+pW0WpsSl4Bxl6IwrPsPCNXRURERERERERERERERERERESGxsYVIiIiIjI5acO6gEh4jDzstmmKISIqRoPrVEbHKs5ajV0dmYC/E14YuSLT6le7EgZ6VtJq7LPsfPx484FxCyIiIiIiIiIiIiIiIiIiIiIig5MWdwFERERE9P4ROdpDXKMqFHcfqh2juHMfyrR0iOztTFgZEZFpiUQizGhYA8+y83DjRYbG8bOv3oESwAdu2jW7lAbDvdyQVSDHH/eeCY7zdrTFdD93E1VFRERERERERES6atOmDR4/Vr1r8IIFC9CjRw8TV0TGULt2bbWxLVu2ICAgwITVvF/4N0ZERNrq168fQkNDVcbGjBmDsWPHmrgiKg2+/vpr7NmzR2Wse/fuWLhwoYkrIqJ3DXdcISIiIqJiIfGvLzxACcivR5qmGCKiYmQuEeP7JrVR2cZS41i5Evgm9A72308yQWWmIRKJMLFBNXxY1UXtmIYudvi5uRfszc1MWBkRERERERERERERERERERERGQJ3XCEiIiKiYiFpUAcFfx4C5Aq1Y2TXbkHaOrDIcykVCojE7NkmopLL3sIMPzbzxOAzEUjPlwmOVQL47no8cuQK9KrpapoCjUwsEmF6wxrIKpDjzJOU/8SCKjjiuya1YCmRFFN1RERERERERMUnPT0dmzdvVhuvVKkSV9gnIiIiIiIiIqISj40rRERERFQsRDbWENepBUVErNoxyoSnUCS9gLi8s875lQoFFHcfQB5yHcpX6bCYMKgo5RIRGV2VMlb4vkltjDkfBZlSqXH80psPkCNT4AvPSiaozvikYhHmNq6FyZdicOV5GgCgfeWymN2oJqRsPiQiIiIiIqL3VHp6OlasWKE23rhxYzauEBERERERERFRicfGFSIiIiIqNhL/eoKNKwAgD7sNcefWWudUpqZDduUG5JevQ/ky9d/jisSnEFd+N3YmIKJ3l6+LHYL9a2D21btajV8d+Qi5cjmGe7lBJBIZuTrjM5eIsSiwNsZdiEb1MlaY2tAdknfgdhEREREREREREVHpl5iYiD179qiNjx071oTVEFFp9vPPP6uNde/eHZUrVzZhNWQMmnZOHDBgAOzs7ExYERERUfFj4woRERERFRtJXQ8UWJgDeflqx8jDbkPaqZXgBdlKuRyKyDuQhVyHIuoOoGKnAtnlcJh/wsYVIir5OlVxQVJ2HlZHJmg1fmPMY+TIFJhQv+o70bxiJZVgeVAdWErE78TtISIiIiIiIiIionfD48ePBXfBYuMKEWlL0456bFwp/TTtnNi9e3c2rhAR0XtHXNwFEBEREdH7S2RuDkmDOoJjlMkpUD56IpxIJkf+tj1QRMapbFoBAPnVW1DmF+hbKhGRSX3hWRlj6lbRevzOu0+x4Ho85GqeA0sbK6mETStERERERERERERERERERERE7wg2rhARERFRsZL41dM4RnbtlmBcZGGuOU9OLuS3onUpjYioWPWrXQlf+VTXevy+B88x5+pdyBTvRvMKEREREREREREREREREREREb0b2LhCRERERMVK7FEdKGMjOEZ+PQJKhUJwjDSwoca55CHXdaqNiKi4fVKjAmb61dD6w/vRhBeYcSUO+XLh50wiIiIiIiIiIiIiIiIiIiIiIlORFncBRERERPR+E0kkkPh6Q34uVP2gjCwo4u5D4llDfR43V4gqlYfycZLaMYo7D6BIfgmxS9milExEZFJdqpWDhUSMb67ehVypeTeVM09SMCUkFgsDPWApkZigwpLlwtNXyCqQ4YMqLsVdChERERERERER0TsnNja2uEt4b506daq4SyAiolJi69atxV0CERFRIdxxhYiIiIiKndSvnsYx8rDbgnGRSKTdriuXw7Wui4iopGjv5oxFTTxgJhZpNT4kKRUTL8Ygq0Bu5MpKluMJLzAlJBbfXruLs09SirscIiIiIiIiIiIiIiIiIiIiIgIbV4iIiIioBBBVqwxRWUfBMfIbUVDmFwiOkfjXB6TCuwvIrtyAUv5+XchNRO+G5hWdsLSpJywl2n2Uv56cjnEXopCRLzNyZSXD3vtJmBl6B3KlEnIlMONKHK4+TyvusoiIiIiIiIiIiIiIiIiIiIjee2xcISIiIqJiJxKJIPHXsOtKXj4UkXHCeaytIGngJZwnPROKqLs6VkhEVDI0Lu+An4LqwFpDk95rESmZGHUuEq/yhBv/SrvtcU+w4Ho8lG8cK1Ao8dWlGNx+mVFsdRERERERERERERERERERERERG1eIiIiIqISQ+GloXAEgC7utOU9gQ815Qq5rVRMRUUnk42yHlc29YGemXfNKXFo2Rp6NRHJOvpErMz2lUolfohLw0+2HKuM5cgUmXoxGXGqWiSsjIiIiIiIiIiIiIiIiIiIiotfYuEJEREREJYK4ggtElSsIjlFE3oEyO0c4T82qEDk7CueJioMyjSvwE1Hp5eVki1UtveFoYabV+PsZORhxNgJPs/KMXJlp/XTrITZEJwqOySiQY9yFaDzKEH79ICIiIiIiIiIiIiIiIiIiIiLjYOMKEREREZUYGnddkcshvxktOEQkFkPSRMOuKwolZKE3dCuOiKiEqWVvg7UtveFiZa7V+MSsPAw/G/FONXA4a3nbX+UVYMz5KDzLfrcad4iIiIiIiIjeFfn5+UhNTcWzZ8/w8uVLZGdnF3dJ9I7Izs7Gy5cv8ezZM6SmpiI//93blfh9lZeX959/27w8fvdXXBQKBTIzM5GcnIykpCRkZmZCoVAUd1lEKimVSmRlZf3n+aOgoKC4yyrxXv+dJyUl4fnz50hPT4dcLi/usrSWn5+PlJQUPHv2DK9evUJubm5xl0QlXEFBAdLS0vDs2TO8ePECWVlZxV0SEdE7QVrcBRARERERvSZtWBey/ccBpfox8rDbkAYKN6ZIAxpAdugUoFSfSB5yHdJ2QRCJRPqWS0RU7KqWscIvLb0x+lwUnmjRlJGUk48R5yKxorkX3O2sTVChcfX1qIjMAhk2xjzWODYpJx9jzkdhbUtvlLXUruGFiIiIiIiIiAwvMzMTFy5cwLVr1xAREYGEhAS8ePGi0Dhra2tUrlwZHh4eaNiwIZo3b44qVaoUQ8X/lZmZiYsXLyIkJAR37tzBo0ePkJmZiby8PFhbW6NMmTKoUqUKatWqhSZNmqBZs2awsrIq7rLfCw8ePMDFixcRFhaGO3fuIDExUWUTlLOzM9zc3FC/fn34+/sjKCgI1tbF/13ZgwcPcP78eYSFhSE+Ph5JSUn/XiRpa2sLJycn1KhRA56enmjVqhW8vb2LuWLTSE5OxsWLFxEdHY2oqCjEx8cjLS1N5YXmYrEYDg4OqFy5MipVqgQ3Nzd4eXnB19cXFSpU0Gne9PR0pKen/+eYqueqNyUmCu8OrY6FhQVcXFz0OtfUMjMzERISgvDwcERGRiIhIQFJSUmQyWSFxtra2qJatWqoUaMGatasiUaNGqF+/fqQSCTFUPm759mzZzh9+jRu3ryJO3fu/Ns0JJPJUKZMGTg6Ov77+O/YsSPKli1bpPny8/Nx7tw5hIWFISoqCgkJCcjIyEBWVhYsLCzg6OiIatWqwdfXF61bt0bdunUNdEv1p1QqcevWLYSGhiI8PBwPHjxAYmJioUY3kUiE8uXLo2rVqmjYsCGaNGmCxo0bQywu+prgeXl5SE5O1umcFy9e6P18UrlyZb3Oey0pKQlhYWGIi4tDfHw87t+/j8ePHyM7OxvKt357l0gkcHFxQZUqVVCnTh34+voiKCgIZcqUKVINRZGeno4LFy4gKioK0dHRiIuLU9u4KhKJYG9vj0qVKqFSpUqoXLkyPD094evrq/N7zqysLLx69eo/x549eyZ4jqa4OlKpVOfXtKJKSUkpEY3ldnZ2sLOzM3jelJQUhISE/Pv8lpiYqPLv9vXnkzp16sDf3x+tWrVCuXLlDF6PLvLy8nD58mVcuHABsbGxePjwIdLT0//9bGJra/vvZ5PGjRsjKCgINjY2xVozEb3fRMq331EQERGRScTGxiI4OPg/x+bNm4fatWsXU0VEJUPe8k1Q3H2gfoAIsPz2S4gchL+QyPtlOxQRcYJjzMcOgKRWdT2qJCIqWZ7n5GHs+Wg80HI3FXtzKZYH1YGno62RKzM+pVKJpTcf4I972n3BX9PeGqtbeMPOnGt5EBERERERUcmXmJiItm3bqo03btwYW7duNWFF+rt9+zY2btyIkydP6r3Kdf369fHZZ5+ha9eukEpN+9n+0aNHWLt2LQ4dOoScHO13tLW0tES3bt0wZMgQlRdBzp07FwcPHlR5bpcuXTBz5ky9aza1Nm3a4PFj1QuMLFiwAD169DD4nAUFBdi3bx927NiBiIgIvXJYWVmhbdu2GDRoULE0gxw/fhwbN25EWFiYTue5ublh4MCB6NmzJywtLQvFAwIC1J67atUq+Pn56VwrAMHfMrds2SI4r7bkcjmOHj2KPXv24NKlSwZZ1b98+fJo1qwZOnbsiKZNm8LMzExw/M8//4wVK1YUeV5taPtcXhx/Y8A/Oy2cOnUKf/zxBy5dulSk3Sns7OwQGBiILl26oE2bNiZ/Li9p9Pl7On/+PDZs2ICQkBCt5zEzM0OHDh0wadIkVKpUSacanz17hjVr1uDgwYPIyMjQ+jwvLy9MmDABLVu21Gk+Q0hKSsK2bdtw4MABPH36VK8cLi4u6NmzJwYMGAAnJye9a7ly5Qr69++v9/m6io2N1Wn864ak8+fP48qVK7h//36R5pdKpWjevDk+//xztGjRoki5dHH27Fns2rULp0+fNsjuak5OTggICEDHjh3RqlUrla+zb9q9ezemTZtW5Hm1UalSJZw6dUrjuH79+iE0NFRlbMyYMRg7dqzWc3799dfYs2eP1uONRde6hSiVSpw8eRI7d+5ESEiIygZMTcRiMZo0aYJBgwahefPmBqlLWykpKdiwYQP++usvpKaman2eubk5unbtisGDB8Pd3b1QXOjfunv37li4cKG+JRMRAeCOK0RERERUwkj86wk3rigB2fUImLVpKphHGtgQ+RoaV+Qh19m4QkTvhHJWFljdwhtjL0ThbprmFY/S8mUYfT4Ky5rVQb2yxbfylSGIRCJMbFANWTI5Dj3UvGrZ3bRsTLwYjR+b1WHzChEREREREZEJJCYmYt68eTh9+nSRc926dQu3bt3CypUrMWPGDLRp08YAFQrLz8/HTz/9hM2bN+t1sXZubi5+//137N69GyNGjMDw4cP/c8F8VlaW2ovNXu+2QaodP34c8+fPx5MnT4qUJycnBwcPHsTBgwfRrl07BAcHw9XV1UBVqnf//n1Mnz4d169f1+v8hIQEzJkzB7/++iu+++47NGnS5D9xoYsY9bk401Ru3ryJ2bNnIyoqyqB5k5KSsHv3buzevRv29vbYu3cvKlasaNA53kVHjx7F0qVL8fDhQ4PkS09Px7Fjx3Ds2DG4uLigb9++GDFihEFyv+uSkpLwzTff6PV6WlBQgEOHDuHUqVP46quv0KdPH43nyOVyrFq1CuvWrSu0Q4k2oqKiMGzYMHz00UeYM2eOSXa2Sk9Px7Jly/DHH38UqcEK+Ge3pzVr1mDLli0YPXo0vvjii3em0Uoul+PixYs4fPgwjh8/jszMTIPllslkOH36NE6fPo2GDRtixowZRt195969e5gzZw4uX75s0LwpKSk4cuQIjhw5Amtra2zcuBE+Pj4GnYOKz7lz57Bo0SLcvXu3SHkUCgUuXbqES5cuwc/PD3PmzEHNmjUNVKV627dvx48//lhoZzht5Ofn46+//sLevXsxZMgQjB49Gubm5kaokohItaLvZ0dEREREZEASHy9AIvw2VR52W2MesVctwE54JwF5eBSUadqvDEREVJI5WZphVQsveDlqt71zZoEcY89H4drzNCNXZnxikQjTG9ZA60rarXoWkZKJIadvIzFTv9VdiYiIiIiIiEg7u3fvxkcffWSQppU3JSYmYuTIkZg8ebLeu7do4+nTp/j000+xfv36Il8AW1BQgJ9//hn9+/fXaVVkKiw7OxsTJkzAmDFjity08rYTJ06gc+fO2L9/v0Hzvu3QoUPo0aOH3k0rb0pMTMQXX3yBX375xQCVFR+lUomlS5eiV69eBm9aeVtaWppOOye9j5KSkvDFF19g/PjxBmtaeVtycjL++OMPo+R+19y4cQPdunUr8utpTk4O5syZg3nz5kGpVKod9/z5c/Tt2xcrVqzQq2nlTQcOHMCAAQP0usBaFydPnkSnTp3w22+/Ffk1+03Z2dlYvHgx+vTpg6SkJIPlLU6JiYkYOnQo9uzZY9Cmlbddv34dvXv3xq+//mqU/Nu2bUO3bt0M3rTytuzsbKM/fsk0MjMz8eWXX2Lo0KFFblp5W1hYGD7++GPs2LHDoHnflJ2djTFjxuDbb78t8mNSJpNhzZo16N+/P169emWgComINGPjChERERGVKCJrq3+aTgQoE55CkfRCOI9EAmljH+HJ5HLIzhr3iywiIlOyNzfDz8294OOs3S4qOXIFvrwYjYtPS/8XklKxCHMa1UJAOXutxj/MzMWg07cR/oI/NhAREREREREZw6JFizBt2jRkZ2veHVZfBw4cwOeff44XL4S/L9bHvXv30Lt3b0RHRxs07/Xr1/H555/zAjE9JSUloXfv3jhy5IjR5sjOzsZXX32FpUuXGiX/1q1bMWnSJIP+bSiVSixZsgSLFy82WE5TmzVrFtauXSt4MT2ZRkhICLp164aQkJDiLoXwz7/HgAEDDPq6sXXrVqxYsUJlLCkpCf369TNIY91rt27dwujRow3aUPKaUqnEsmXLMHr0aKO8H3jtxo0b6NmzJ+7du2e0Od5FBQUFWLRoEebNm2fQvKtXr8bcuXON8piid9O9e/fQs2dPHDp0yGhzFBQUYPbs2Zg/f77Bc6enp2PQoEE4fvy4QfOGh4fzswkRmRQbV4iIiIioxJH41dM4RptdVyRNfDWOkV24BmUOV9wnoneHrZkUPzWro3UDR55CiSkhsTj1+KWRKzM+c4kYiwJro35Z7Rp30vJlGHs+CkceJRu5MiIiIiIiIqL3y/z58422uvbbIiMj8cUXXyAlJcVgOZOSkjB48GA8e/bMYDnfdO/ePYwdOxb5+flGyf+uevHiBQYMGIDY2FiTzLd27Vp8//33Bs25d+9ejTsdFMX69euxc+dOo+Q2pk2bNnHnjRLi+PHjGDp0KC9gLSFiY2MxZswYo+wutnLlSpw5c+Y/x9LS0tC/f388ePDA4POFhoZi06ZNBs2pVCrxzTffYPXq1SZpektOTsaAAQOMcv+864SapXR1/PhxLFu2zCC56P0QExODPn36mOxvd/PmzVi4cKHB8uXn52PkyJEIDw83WM43xcfHY8yYMfxsQkQmIS3uAoiIiIiI3iapWxsFFuZAnvoPxvJrtyDt1AoikUjtGHG5shDXdociNl79ZLl5kF0Kg1nbZkUpmYioRLGUSvBDU0/MuBKHc1rspiJTKjHjchxm+tdE56ouJqjQeKykEvzYzBOjzkUhNjVL4/gChRKzr97Fw4wcDPNyg1jgdYWIiIiIiIiINNu0aRM2b96scZxIJEJgYCDatWuHBg0awM3NDTY2NsjPz0dycjJiY2Nx7tw5HDlyBJmZmYK57ty5g1GjRmHr1q0wMzMrUv0FBQUYPXo0nj59qnGsra0t2rZti8aNG6N69epwcHCARCJBeno6EhISEB4ejhMnTqjMdfXqVaxcubJItb5PXl+wd//+fY1jbW1t8eGHHyIoKAi1a9eGi4sLzM3NkZWVhYSEBNy8eRN///03Ll/WvCP7hg0bUKlSJfTp06fIt+HWrVsIDg7WamyNGjXQpk0b1K9fH5UrV4aNjQ0KCgrw8uVL3L17F5cvX8aZM2dUXmA4b948+Pn5FbleU3n8+DGWLFmicZy9vT2aNm2KJk2aoFq1anBzc4OtrS2srKwAAJmZmcjIyEBaWhru3buHuLg4xMXF4fr160bd+eldcv78eUyYMAEymUzjWKlUiiZNmiAwMBD16tWDm5sbHBwcYGFhgaysLKSlpeHVq1eIi4tDREQEbt26haioKO6oo4Pc3FyMGzdO5WuglZUVmjRpgpYtW6JSpUr/Ps+lpKQgISEBZ86cwblz55CTk6M2v1KpxNy5cxEYGAgLCwsoFApMnjxZ5YXdYrEYDRo0QOvWrVGzZk04OzvDzs4O6enpSEpKwsWLF3Hy5EkkJwsvErVq1Sp06dIFrq6uOt8fqixcuBC///67xnHm5uZo3LgxAgIC0LBhQ7i4uMDBwQHW1tZ49eoVUlJScPv2bZw5cwYXL14UvN+Sk5MxatQo/PHHH7C1tTXI7ShJ7Ozs4OXlBU9PT9SpUwfu7u4oU6YMypQpAzs7OyiVSqSnpyM9PR13795FREQEQkJCcPu25kUnV6xYgYYNG6Jp06Z615eZmYlvvvlG4zhra2sEBASgadOmcHd3R5UqVWBnZwcrKyuIxWJkZmYiMzMT6enpuH///r+vGeHh4UhNTdW7Pip5EhIS8MUXX2jVkFmlShUEBgYiICAANWvWhIODAxwdHZGfn4+XL1/iyZMnOH/+PM6cOaNx96WNGzeiRo0a+N///lfk2/DNN9/g2rVrGsdZWFigVatWCAwMRK1ateDo6PjvZ5P79+/j6tWrOH78uMrH+LVr1wzWXEZEJESk5CcCIiKiYhEbG1voy+l58+ahdu3axVQRUcmSv20P5KE3BcdYTBoCcdXKgmPksfeQv3Kr8GT2ZWA5azxEZuzrJqJ3i0yhwOyrd3E8UbvdVEQApvq6o7t7eeMWZgKv8gow4mwkHmSo/4Hpbe0ql8VM/xqwlEiMWBkRERERERGR9hITE9G2bVu18caNG2PrVg3ff5rQjRs30KdPH40XPQcGBmLGjBmoVauWxpyZmZn45ZdfsGHDBo15BwwYgOnTp+tU89uWLFmCX375RXCMjY0NRowYgb59+8La2lpwrEKhwNGjR/HDDz/g8ePH/4lJpVLUrl0bkZGRKs/t3r27QVdrNrY2bdoUuo2vLViwAD169NA795w5c/Dbb78JjjEzM8PQoUMxZMgQ2NjYaMwZExODefPm4erVqxrzbt++HfXr19ep5jdlZ2fj448/xsOHDwXHeXp6YurUqVpd1Pvq1SusW7cOW7ZsQUFBwX9i9evXx61bt9Seu2XLFgQEBGhX/FuEfsvUJ++sWbMELzy3s7PD+PHj8cknn8DS0lKn3MA/TU8hISE4deoUjh079u+Fq4cPH0aNGjV0ynXlyhX0799fbdzYuwEZ82/s3r17+PTTTzU2ClpbW6N///7o378/ypYtq9Mcz549w5EjR3Do0KF/L3KvVKkSTp06pXfdpZ3Q35OnpydiYmL+c8zCwgKDBg3CsGHDNL7+PH36FHPmzNF4/06ZMgWDBw/GunXr8MMPPxSKd+7cGZMnT0alSpUE8+Tk5GDFihXYuHEj5HK52nFdunTRqllNk127dml8zbe2tkbv3r0xcOBAlCtXTqu8z58/x/Lly7F7927B2/Hxxx9j0aJFOtX8JkM/l+ri4cOH6NChw7//7+rqirZt26Jdu3Zo1KgRpFLdfzOPiYnBhg0bsH//fsFxlStXxpEjR2Bubq7zHADwyy+/CD5+LCwsMHz4cPTr1w92dnY655fL5QgLC8OpU6dw9OjRf5uP161bhxYtWuiUS9P7+JMnT6JyZeFrHYqiX79+CA0NVRkbM2YMxo4da7S59fH06VN8+umneP78udox48ePx6hRo7TOmZmZid69e+POnTuC43x8fDB06FC0bdtWcOHUNx05cgQ//vij4Hs7c3Nz7N27V+f3G286fPgwJk6cKDhGKpWiT58+GDFiBJycnATH5uXl4ffff8fy5cuRkZFRKI+HhweioqJUnlvaPpsQUckkLu4CiIiIiIhUkfjV0zhGdk3zyi1iD3eIKlcQHpSWAfk19T/gEBGVVlKxGN82roWPqmm3i4oSwMLweOy488S4hZmAo4UZlgfVgZut9j9mn0h8idHnovAyl1thExEREREREemqoKAAwcHBGptLJkyYgI0bN2rVtAL8s3vGl19+iS1btmi8EGvr1q24eVN4QSQhd+7cwa+//io4xsPDA3v27NHqomHgn1XqO3fujP3796N9+/b/iclkMrVNK/R/wsLCsH37dsExLi4u2L59O8aPH69V0wrwz0XhW7ZswYgRIwTHafvYFrJ69WqNTSv9+vXDX3/9pfVK9I6OjpgyZQq2b99e6IJsoaaVkiQ/Px8HDx5UG69cuTJ27dqFvn376tW0Avxz0WjLli3x7bff4uzZs5g7dy5q1qypb8nvpIKCAkyePFlj00rjxo1x8OBBTJw4UeemFQCoUKECBg4ciL/++gs7duzQ+SLw983bTSvu7u44dOgQJkyYoNXrj6urK1atWoWePXsKjtu+fTsSEhIK7QJmY2ODjRs34scff9TYtAL8swvMV199hTlz5ghe+P33338jLS1NYz4hDx8+xJw5cwTHeHt7Y//+/Zg6darWTSsAUK5cOcybNw9r1qwRvJ/37t2LS5cuaZ23JPLz88OqVatw+vRpzJw5E4GBgXo1rQD/vKYuXrwY69evh7Ozs9pxiYmJ+OOPP/QtGbt27VIbs7e3x/bt2zF69Gi9mlYAQCKRoHHjxvj6669x4sQJ/Pjjj2jQoIG+5ZKWMjIyMGzYMMGmlZo1a6Jv37465V24cKFg04pUKsWUKVPw+++/o127dlo3rQBAp06dsG/fPrRp00btmPz8fMycOVPv3cYyMjIwd+5cwTFOTk7YvHkzpk+frvGzEvBPc1f//v2xd+9e1KlT5z8xmUymtmmFiMhQ2LhCRERERCWS2KM6UEb4xyX59QgoBVa6AQCRSARpuyCN88lOXYJSodCpRiKi0kAiEmF6wxr4Xw0NTXxvWHbrIX6NTtT7i9SSory1BTa0qgtf5zJanxORkonBpyNwLy3biJURERERERERvXt+++03jasZT5s2DSNHjtTporDX/Pz8sGXLFtjb26sdo1Ao8O233+qc+7Xvv/9esDnBw8MDW7duRdWqVXXObWtri59++gmdO3fWu773kVKpxNy5cwW/p3JycsK2bdv02hFFLBZj4sSJ+PLLLwXHxcbGYseOHTrnB4AnT55g06ZNgmNGjBiB4OBgmJmZ6Zy/fv36+O233wQvFC6pwsPDkZWVpTImEonw448/okqVKgabz8LCAp9++ikOHTqEatWqGSxvabdhwwaNF6r26NEDGzdu1KqBQRsNGzbEunXrNDYL0j+8vLzw22+/wc3NTafzRCIR5s2bh3r11C8YmJiYiC+++AI5Of+3e7mDgwO2bNmidSPdmz755BPBnYny8/Nx+PBhnfO+KTg4GLm5uWrjH3zwAXbu3Knz/fWmFi1aYNu2bYLNK4sXL9Y7f3FycHDA77//ju3bt+u0w4Q2mjdvjk2bNsHR0VHtmF9//VWv358SExPx4MEDtfG5c+eibt26OudVRyqVonPnzvjjjz/0+lsg7RQUFGDs2LGIi4tTO8bFxQW//PKLTg1Jly9fxp9//qk2bmVlhU2bNmHw4ME61ft2jhUrVqBbt25qx4SFheHkyZN65V+9ejVSUlLUxl8/V/v7++ucu3LlytiyZQu8vLz0qo2ISF9sXCEiIiKiEkkkkUDi6y08KCMLijsPNOaSNKgDUVkHwTHKpBdQRKj/MoSIqDQTi0SY1KAa+ntU1PqctVEJWH77IRSlvHnF3sIMy4O88GFV7XadAYCn2XkYciYCl5+lGq8wIiIiIiIiondIXl4e1q9fLzjmk08+wRdffFGkeWrVqoWlS5cKjomMjMSZM2d0zh0TE4Nz586pjVtbW2P16tVwcHDQOfdrEokECxcuhKenp9453jcnT55EdHS02rhIJMLy5cuL3IQwfPhwdOnSRXDMunXrkJ+v+069mzZtEjyvdevWmDBhgs5531SlShX8/PPPEItL12VAQv+2AQEBejUjaUsikRgtd2mSkpKCdevWCY754IMP8N133+m9E4MQNhBpZmdnh9WrV2u1kr4qYrEYX3/9teCYxMTE//z/999/X6QGgNGjRws2mgrttKTJqVOnEBoaqjbu6+uLxYsXw9zcXO85XvP29hZsiI2KisLp06eLPI+p2dvbw8fHx2j5a9WqhR9//FFt/PHjx4L/huoIvWZUqVIFH3zwgc45tWWM5z/6x6xZsxASEqI2bmVlhdWrV+vcOPn999+rjYnFYvzwww9o1KiRTjlVkUgkmDt3Ljw8PNSOWbVqlc55U1NTBXccFIlEWLp0qda7WKpiZ2eHVatWFenzDRGRrkrXJ1YiIiIieq9I/TX/ICG/pnm7e5FEAmkbzaugyE5e1KouIqLSSCQSYVTdKhjupf0KY9vvPMXca/cgK+U7UplLxJjpVwMjvbW/7dkyOb68FI1d954ZsTIiIiIiIiKid8OBAweQnJysNu7o6IgpU6YYZK6goCCNDQYbNmzQOe+WLVsE46NGjULlypV1zvs2CwsLzJo1y6Crm7/LNm7cKBjv2bOnQS46BIAZM2YIruSdlJSEQ4cO6ZQzOzsbf/31l9q4paUlZs6caZDHQ8OGDfHJJ58UOY8pPX78WG2scePGJqzk/bVx40ZkZmaqjZcrVw5z584tdU1R75Lg4GBUqKD9juqq+Pv7a9002atXL7Rs2bJI89nb26Nr165q47dv3xbc4UzIihUr1MbKlCmDlStXwsLCQq/cqnTt2hUdO3ZUG9+5c6fB5nqXBAYGCt5vx48f1zmn0GuGod4LkGmtWLECu3fvVhuXSCRYunSp4K5Rqpw8eRKRkZFq40OHDkW7du10yinEwsICS5YsUftaGRkZidu3b+uU8/fff//PTlhv69KlC5o1a6ZTTlVcXV2L3EBNRKQLtoISERERUYklqloJImdHKF+8UjtGfjMayk+7QGRuJphLEuCDgsNngKxstWMU9xMgv/cQkhpV9S2ZiKhEE4lEGFSnMqykYiy79VCrcw4/SkZGgQzzAmrBshSvQigSifCFZ2VUtrXEnKt3kafQvJOMXAl8f+M+HmbmYHz9apDwghIiIiIieocpnj4vnomlEohdyup8miL5JSCTG6EgzcSu5XQ+R/EqDcjNM0I1momcHSEyE/7u7G3KjEwoM9V/j2Zo+tynVLLs3btXMD5p0iTBldd1NWXKFJw6dQrZ2aofp1evXsXjx4+1Xpk5Pz8fx44dUxuvVq1akXeLeZOfnx+6du2Kffv2GSznuyghIQFhYWFq4/b29pg0aZLB5nNycsK4ceMwb948tWP27NmD7t27a53z1KlTyMrKUhsfOnSoziuIC/nyyy9x7NgxpKWlGSynMan7GwYAZ2dnE1byfsrPzxdsrAKA+fPnG/T5m3RTu3ZtdOvWzSC5OnTogJiYGMEx5ubmGD9+vMHm27p1q8pYXl4e4uPjBXcoUOXGjRuCF6OPGDECZcvq/tlCk5EjR+Lo0aMqY+fPn8fLly+NMm9p99lnn6m934R22FCHrxnvlr179+Lnn38WHDN9+nS0adNG59xCO5U4Oztj2LBhOufUxMPDA23atMGJEydUxvft26dTA47Q5ytra2t89dVXupao1qeffoqdO3dqfI0gIjIENq4QERERUYklEokg8asH2bFz6gfl5UMRGQeJr7dwLnNzSFsGQHZYeLtm2cmLbFwhonfeZ7UqwkIiwffh8dDcvgGcf/oK4y9EY0lTT9iale6vEtpVdkYFawtMvhSLV3kFWp3z+91nSMzMxfwAD1hKS2/zDhERERGRkLwFq4plXlEFF1hOH63zefnrdkL5TP3uDsZktXy2zucU7DkGxY0og9eiDYtpoyDSsTFEdv4qZEfPGqmiwvS5T6nkeP78Oa5du6Y27uLigh49ehh0zvLly+N///sfNm/erDKuVCpx+PBhDB06VKt8Fy9eFNxx4PPPP4eZjg1gmvTv35+NKxocOXIESqX6b6/+97//wcnJyaBzfvbZZ1i1ahVSUlJUxkNDQ5GcnAwXFxet8v39999qY1KpFJ9//rledarj6OiIjz76CNu2bTNoXmOxtLRUGystzTel2ZkzZ9Q+1oF/dr1p3ry5CSuit/Xp08dguQICAjSO6dixo8EaMBo2bAgzMzMUFKj+Hj46OlrnxhWhRitnZ2f0799fp3za8vT0RJMmTXD58uVCMblcjgsXLhiswehd4u/vDzs7O6SnpxeK3b17F5mZmbC1tdU6n9BrRmpqqj4lUjEJCQlBcHCw4JiBAweib9++Oud++vQpLl26pDY+dOhQnR53uhg4cKDaxpWzZ89qvM2vxcTEID4+Xm28Z8+eKF++vF41qiKRSDBixAjuvEJEJsF9HImIiIioRJP4aV51Qham3baq0uaNAA07sygi4opvhVEiIhPq4V4es/xrav3FwI0XGRhxNhIvc/ONWpcp1HUqg42t66GGnZVO55lJ+DUKERERERER0dsuXbok2Fzw0UcfQWKEXVw1XSAqdMHa24RW/ZZIJPjwww+1zqWtunXrokaNGgbP+y65cOGCYNwYFwlLpVLBf2+lUqn1KvFKpRJXrlxRGw8KCjJ44w0AdO3a1eA5jcXR0VFt7Pz58yas5P10+rTwYm+Gbqwi3ZiZmeGjjz4yWD5tXnN02VFKE6lUimrVqqmNC12UrYpSqcSpU6fUxjt06ABzc3OdcuoiKChIbUyf3UPeB1KpFO7u7mrjd+7c0Smf0GuGpvejVHLcuXMHY8eOVdvUBgAffPABpkyZolf+U6dOQaFQqIyJxWJ06dJFr7za8PX1hY2NjcrYo0ePkJiYqFUeTe+BjXEb2rRpY7SGHiKiN/GKCyIiIiIq0cQVXCCqXEFwjCLyDpTZORpziWysIQlsqH6ApQWk7ZpBZGuta5lERKVS56ou+K6JB6QikVbj76RlY9iZCDzJyjVyZcbnamOBX1rVRWB5B41ja9pbY25jD0i0vJ+IiIiIiIiI3idCF+YDxruI3tvbGzVr1lQbDwsLE7wg7k1CO8Y0btwYzs7OOtenDWM0xLwr8vPzER4erjbu6emp80r92tL0mNX0mH8tLi5OcAX4zp0761KW1ho0aAA3Nzej5DY0oTpDQ0Nx8uRJE1bz/hFqDnJxcUH79u1NWA29zdPTE9bWhvvN0tHRUfDCf4lEggYNGhhsPgCCTQsZGRk65YqIiMDLly/Vxjt16qRTPl35+/urjUVGRhp17tJMaAefhw8f6pRL6DUjISEBW7du1Skfmd7z588xbNgwwb9/Hx8fLF68GGKxfpc2nzt3Tm3M39/faO/rgX+eR319fdXGtX2uEHqv6ebmBh8fH11L08jCwgIdOnQweF4iorexcYWIiIiISjyJf33hAXI55DeitMolbR0IiN+68Ni+DKTd2sPy24kw69oeojJcSYKI3h9tKpXFkqaesNRyN5HErDwMPROBu2lZRq7M+GzNpPihqSc+cVe/nXZZSzMsbeoJGzPDrwxLRERERERE9C6Ijo5WG3NwcECdOnWMNnfTpk3VxvLy8rRazV0mkwmu+G3oi3hNlbu0i4+PR36++p1/AwMDjTZ3/fr1YWdnpzYu9JjXZZwxLjp8rbQ8tpo0aSIY//LLL7F3717TFPOeefLkCZKTk9XGAwMDIZVKTVgRvc0YzxH29vZqYx4eHmp3CjDGfLo2rly/fl1tTCqVCl4sbghCzZKaXrPeFfn5+Xj16hWSkpLw+PFjJCYmavxP6Hnk+fPnOs3foEEDwWauBQsWYMOGDZDL5TrlJdPIysrCiBEj8OTJE7VjqlSpgtWrV8PCwkLveYQanxs1aqR3Xm0JPVfExMRolSMiIkJtTOjzT1EZMzcR0Wv8hEFEREREJZ60YV3I9v0NCOzuKw+7DWlTP425xE4OkDSsB/m1WxCVd4a0bTNI/OpBZMa3xkT0/mpSwQErmnvhy4vRSC/Q/IX+i9wCjDgbiSVNPdHAWf2P+KWBVCzCV77uqFrGCj/efIA3Nw+3kIjxQ6Anylvr/wU5ERERERER0btMLpfj3r17auPGbFoBAC8vL8F4XFwcateuLTjm0aNHghebGvM2GPv+Kc1iY2MF48a+7zw9PREaGqoydvfuXcjlckgkwgudCP1tWFtbo0qVKkWqUYinpycOHjxotPyGUr58edSvXx+3bt1SGc/NzcXUqVOxbds29O3bF506dSrSxaz0f6KihBeEKy3NT++y6tWrGzyn0EX/VatWNel8mZmZOuUSesy6ubnBzMxMp3y6srGxgZmZmcrd3GSy/8feXYe3eV/9H//ckswYcJjjxIkhacBhToor09aVMWkKKaztVlxha9qVIW2ztims7VbayhRm5thx0GF2zCjp/v3RJ/mlbXRLsiTj+3Vdu57r8fd8v+fYVixVus99nDpw4EC9mXblzf79+7Vy5UqtXbtW27Zt044dO3Tw4EGVlpYGNc/Ro0f9ig8LC9PIkSP13XffnXTd7Xbr6aef1qeffqorrrhC5513nmJjuWFlXeByuXTnnXdaThxJTEzU1KlT1bRp02rn2bVrlwoKCjyud+3atdpn+8qqYc+qaeeYvLw85eXleVzv0aNHteryRSjPBoBjuDoPAAAAdZ6RGC9bcie5N+d6jHFvyZWZXygj0fsF1I7Th8t+Sqps6d1lVHPELAA0NBnN4vTGqHTdPi9Lh8p/+8HLrxVVuXTb/Gw9ObC7hrZuUgMVhtalya3VNiZSDy7dpFLnz+0rf81MVmpTPtQAAAAAAMCTgwcP1lrThy/n79692+sZ+/bts1wP5QVczZo1U1JSkuXUg8bK2+/OW9NSoFJTUz02rlRUVOjw4cNq2dLzFF/J+uLElJQUGYbhcT1Q9enCwwkTJmjixImWMevWrdN9992nRx99VMOGDdOoUaM0YMCABnOReG3Izc21XKdxpfZZTX6qLqtGEquLrUORr6TEv6nuW7Zs8bjWunVrn57zAxUbG+ux2aK+N67k5eXp888/1zfffOO1sS1YysvL/d4zYcIEff/99zJNz3e83LZtmx577DE9+eSTGjRokMaMGaOBAwfWSNMCTu6xxx7TnDlzPK6Hh4drypQpATfsWTUNSz83oIX6b4XVY3P//v1e93t7fg7la7zOnTsrPDy8UUyQAlB7aFwBAABAvWDvl2HZuCJTcq5cr7Ax3seX2lomSS2TglccADQQXeKjNXVUum6fn61dxd4/MKhwuXXPohw93L+rzuhQ//+uDm3dRFNHpevuBRt1UddWGtO2WW2XBAAAAABAnXbw4EHL9VDcLf5EXbp0sVz3Vp8kr00j3poTAtWiRYugNK5UVFQEvQEmIiJCSUm1856Pt99dp06dQprf22P3wIEDXh8bVr+PUD+uQn1+MI0dO1ajRo3S7NmzvcaWlpbqxx9/1I8//ihJatOmjfr27as+ffqoT58+6tGjh9dJOPiZt4tnucC79oWiccVmcUO/uLi4Gs1ndXH3yVg9ZhcuXKixY8f6dV6w5efn12r+6iosLNRrr72mDz74QBUVFTWauzr5evToocsuu0wffvih19iqqirNmzdP8+bNkyQ1b95c/fr10ymnnKJTTjlF6enpCg8P97sG+Oef//yn/v3vf3tcNwxDTz31lPr16xdwLm8N6ePHjw84RyCspsEc4+31fCj/+8rhcKhjx47avHlzyHIAAI0rAAAAqBfsp6Sq6pNvJZfLY4xr+TqfGlcAAJ61iYnU1JHpumNBtnLyvd/xzGWaemTZFhVUOvX75NY1UGFodUuI0b/G9VZcGB9wAwAAAADgjae7jh8TGxvaSabh4eGWdwXOy8vzeobVhaYOh0NRUVHVLc8nwfoZrV69WldddVVQzjpmwIABev/994N6pq+sHluRkZEKCwsLaX5vF3B7e+xL1hcnhvrfRqjPD7Znn31Wv//97y0nKpzM3r17tXfvXn399deSfr6Tet++fTVs2DCNHTu2Xk8/CLXDhw97XAsLC7OclIGaERkZ2aDz+cPpdOrIkSO1XYal+jihYMGCBfrzn//sU6NvKLjd7mrtu//++7V161YtWbLEr32HDx/WDz/8oB9++EHSzw26vXv31rBhwzR69Gh17969WvXAs2+//VbPPvusZczdd9+ts846Kyj5auux7CtfmrWsnp+l0DQ1nqi+vYYEUP/QuAIAAIB6wYiOki2tm9xrN3qMMXfvk/vAoZ8nqgAAqq1pZJimjEjVPYtytPJQoU97nluTq/yKKt2U2l6GYYS4wtCKD+ftEgAAADQ+EX+ZWDuJHdVrGg+/8Q+S0/MNTuqasAtOl84cVSu5jeZN/N7jGJ4pe5+0EFSDhqasrMxyvSYufIqLi/N4MasvF4dZXWgaExNT7bp8xcVhJ1de7nkacE38zLzlsKrvGKvHH40rvxQbG6uPPvpIf/rTnzRnzpxqn1NSUnL87vpPPvmk0tPTdeGFF+r888+vkX/P9Ult/xsD/FFaWur3hJaaVtPTSgL1ySef6JFHHpHL4qaRdVVYWJjefPNNPfLII/r888+rfU5FRYWWLl2qpUuX6rnnnlPXrl11wQUX6KKLLlLTpk2DWHHjtHz5ct13332W/3Z///vf68YbbwxazuLi4qCdFQq+/J2wen6OiooK+WQ5XgMACDWuxAAAAEC94eiXoUqLxhXp56krtt+NqaGKAKDhig1z6IWhPfXQ0k2as9f7HSQl6e2Ne5Rf4dSf+nSWvZ43r1SXaZpan1esjGbWd+UEAAAA6hpb6xa1XYJfbEnNarsEv9iaJNR2CX4x4mJlxHHBCrzzdnfx2m5c8aW5wOp7CPW0FalmmmPqI6vfS009rqz48tiqqqryuBbqx1Z9fFzFx8fr9ddf16effqqXX345KHdNX79+vdavX68XX3xR11xzja699toa+XddH1g9hkN9N3fAX778za1tdb2x5kTfffedHnrooXpV86+Fh4frySef1KhRo/Tcc88pNzc34DO3bt2qZ555Rq+++qr+8Ic/6Oabb1ZCQv3677i6Yvv27brlllssX8+NGDFCjzzySFDz1rcGspOpzcbnmsoBoHGjcQUAAAD1hi2tuxQRLlV4foPDtWKdHGeNrvd3+weAuiDCbtPfB6Zo8qqt+ir3kE97Pt9+QIVVTv01M1lhNluIK6x7/r1lv15Ym6trUtpqfFp72Xg+AgAAAAA0YjVxQaTb7fa45sv7xGFhYR7XauJC2fpwMW5dU9uPK8m3x5bD4fmSnFBfWOltGlJdZbPZdOmll+rcc8/Vp59+qs8++0xZWVkBn1tQUKAXX3xRn332mZ566in1798/CNXWb1aPYW+Pf6Cm1cepIHXVrl27dP/99/v0XOpwOJSenq6MjAx17txZ7dq1U1JSkpo0aaLo6Ojj0x+sJkD8+c9/1n//+99gfgu/cPrpp2vs2LH66quv9Omnn2r58uUBn1lWVqZp06bpiy++0OOPP65x48YFodLGIy8vTzfddJPy8/M9xqSmpuqFF14I+vQQp9MZ1PPqmpq4BibUE10AgMYVAAAA1BtGeJjsvXvKtXSNxxjz8FGZO/bI6NSuBisDgIbLYTP0QN+uSgwP0/ub9vq0Z/ruIyqqdGry4BRFOxrPG5zz9ubpxbW5kqR3cvZoZ3GZHslMViRv8gIAAAAAGqiIiAjL9eLi4pDXUFRU5HHNW33Sz3fs9qSkpKRaNfmjJn5G9ZHV787qdx4s3n4vkZGRXs+wemyF+vdeE4/dUIqMjNQVV1yhK664Qjk5OZoxY4YWL16s1atXB9T0s3v3bl1zzTV6+umnddZZZwWx4vqntv+NAf7w5fkcvpk8ebJKS0stY7p3765rr71Wp512WsDTF2qi2dThcOiCCy7QBRdcoJ07d2r69OlatGiRVqxYEdDzYV5enm699Vb9+c9/1jXXXBO8ghuw8vJy3Xzzzdq5c6fHmNatW+uNN94IyXS4hvC3ojZfP0q8BgAQejSuAAAAoF6x98uwbFyRJOeKdQqncQUAgsYwDN2a0VEJ4Q69st7zm80nWnKwQLfOy9LzQ3ooIcLznUsbik35JXpo6Wad+BHMzD15OlCapX8MSVGzSM9vNAMAAAAAUF9FRUVZrtfExVVWObzVJ0lxcXEe16qqqlRRURHSi+BoXDk5q8aQ2n5cSb41rsTHx1f7/EA1pMdVSkqKUlJSNHHiRFVWVmrNmjVauXKlVq5cqdWrV1ve0f1kqqqqdN9996lly5bq169faIquB6Kjoz2ucdEq6hpvf3PPPPNMvfDCCzVTTD22adMmTZ8+3TLmhhtu0F133RW0qQuFhYVBOcdXHTp00HXXXafrrrtOTqdTWVlZx58zVq5cqUOHDvl1nmmamjx5slq2bKkzzzwzRFU3DG63W/fcc49Wr17tMSYuLk5Tp05VixYtQlKDt78V3377rbp27RqS3MFi9T2UlZXJ7XbLZrOFLH9Deg0JoG6icQUAAAD1iq17ZykuRiryfHcU18r1Ms8/TQZ3uAeAoLoypa0SIsL05IqtcvsQvyGvWDfN2aCXhvVUy+j6f5cjTw6VVeruhRtV5vrtT2XD0WJdP2u9nhvaQ13iPX8YDAAAAABAfdSsWTPL9VBfrFheXq6qqiqP697qk6SkpCTL9SNHjqhNmzZ+1+arI0eOBOWcgQMHKicnJyhn1QXNmzf3uFZZWRnyhiJvj12r+o6xemwF6/fuyeHDh0N6fm0JDw9XZmamMjMzJf18QfGmTZu0ZMkSzZ07V0uWLFFlZaXXcyorK3X33Xfrxx9/tLyzeUNmddGwy+VScXFxwJMWgGCJjo5WVFSUysrKTrpeUFBQwxXVT//9738t12+77TbdeuutQc1Z040rJ3I4HOrVq5d69ep1fGLKjh07tGTJEs2bN0/z58/3On1G+vm55v7779fAgQPVtGnTEFddf02ePFk//vijx/WwsDC9/PLL6t69e8hq8Pba399m19pg9RgzTVMlJSWWjfeBonEFQKiFrvUOAAAACAHDbpe9b7p1UFGJ3Ju2By2n+2iBKj//Xu49+4N2JgDUV+d2aqHJg1IUbjN8is8tKtNNc9ZrR9HJP1Cq78qcLv1p4UYdLPP8gfi+0grdOHu9lh/kwzMAAAAAQMPi7W7JW7duDWn+LVu2WK77cjfnVq1aWa5v3LjRr5r8UVRUpD179oTs/Pqsth9b3s4P9LEV6iajUD5u6xLDMJSSkqKrrrpKb775phYtWqQnn3xSvXr18rp33759+uijj2qgyrrJ29++htQIh4ahdevWHtfqw8XodcHs2bM9rqWmpurmm28Oes7abFw5mY4dO+rSSy/Vyy+/rMWLF+vFF1/UkCFDvO4rLS3V66+/XgMV1k/vvfee3n33XcuYxx57TIMHDw5pHd6azevD3wpvrzF37NgRstymaWrXrl0hOx8AJBpXAAAAUA85+md4jXGtWBdwHvfeA6r8139V8eiLcs1eLOf0BQGfCQANwci2TfXCsJ6Kdvg22Wp/aaVumr1e2Ucb1l16TNPUX5dt0cZ8z1PAjimucmnS/Gx9u8O/MfQAAAAAANRlSUlJio72PGE01BfPZ2dnW6536NDB6xmdO3eW3WJ6t7ccgQjl2fVd+/btLddD/bPLysryuBYTE+PTNJ+uXbt6XMvPz9e+ffuqVZsvGkvjyq/Fxsbqwgsv1CeffKIpU6Z4vTP+J598UkOV1T1dunSxXF+zZk0NVQL4pmPHjh7XDh48WIOV1E8FBQXatm2bx/VLLrnE8vVQdVRWVio3NzeoZwZTRESEzjjjDE2bNk0ffvih19eNn3/+uVwuVw1VV39Mnz5dTz75pGXMLbfcogsvvDDktVj9nZCkAwcOhLyGQNXma+AdO3b4NIUIAAJB4woAAADqHaNDWxnNm1jGuNZky6ys8vts0zTl2pKrijc+UMXk1+RaukZyu38+c9V6uY8crVbNANDQ9EtK0GsjUtUkwuFTfH6lUxPnbmhQU0cMw9Bp7ZsrwsfpM07T1KPLt+jNrF0yTTPE1QEAAAAAEHqGYSg5OdnjenZ2dkj/G9iquUCSUlJSvJ4RHh6uTp06eVxfv369v2X5LJRn13fefnehvGjPNE3Lxo/u3bvLMLy/H+Tte+CxFVpjx47V+++/r5iYGI8xmzdvbrQXvKelpVmu07iCuiY9Pd3j2uHDh+t0g0Rd4O3nM3bs2KDnXL9+vSorPU+rr0v69eunf/3rX5aTfYqKirRuXeA3z2xI1q5dqz/96U9y/9/1FCdz3nnn6fbbb6+Rerp3767w8HCP6ytWrKiROgLRsmVLxcfHe1wP5US0xtr4DKBm0bgCAACAescwDNn7eZm6UlEp94ZNfp3r3rlXFc+/pcqX3pF7w+aTBJhyzlrk15kA0JD1aBKrqSPT1To6wqf4UqdbdyzI1qw9R0JcWc0Z266ZXhuZpqYRYT7v+Wf2bj22fKuqLN7IBwAAAACgvkhNTfW4VlxcrFWrVoUs9/z58z2uxcbGer3r8jH9+vXzuLZgwQIVFRX5XZsvvv3225Cc2xB06tTJcprPvHnzQpZ7xYoVlnebtnrMn6hnz56W38N3333nd22+2Lp1qzZt8u/zkYYqOTlZEyZMsIxZu3atz+f50rBUXzRr1sxyusCiRYtUXl5egxUB1vr06WO5vmTJkhqqpH6yatILCwtTixYtgp5z5cqVQT8zlFq2bKl7773XMsafpr6G9JxxMrt27dKECRNUVlbmMWbgwIF64oknaqymsLAwy8bMpUuX1lgtgbB6rRnK72HZsmUhOxsAjqFxBQAAAPWSvb+XxhVJzhV+3vEkPExm7m7LENeilTKLS/w7FwAasA5xUZo6Kk2d46J8iq9ym7p/8SZ9ub3uj+P2VVrTOE0bk6HkeM8XIvzatzsPadL8bBVVOkNYGQAAAAAAoTd48GDL9S+//DIkeVeuXKmdO3d6XM/MzJTN5tslEVbfQ0VFhX744Qe/6/Nm+/bt3LXbgt1u14ABAzyu5+bm+tVw4I8vvvjCcn3QoEE+nRMWFmbZFDVz5kyVlAT/8wZv9Tc25513nuV6Xl6ez2fZ7XbL9YqKCp/PqgtGjhzpca2goEBff/11DVYDWMvMzLScoDR79uyaKyYIHA7P0+xD8bfEqrkgMTExJE0W9fH5aNy4cZZNp/48Z1j9jqX695xxooKCAt100006csTzjeqSk5P1yiuvWE5ACYVRo0Z5XDt48KDXiY11gdVr4JycHG3efJKbsAbI6XTSVA+gRtC4AgAAgHrJ1jJJRjvPo3olyb1hs8xSz2/C/ebMVkmyZaRYB1U55ZzHnSYA4EQtoiL0xqg0pTeN9SneLelvK7fpvZw9Mk0ztMXVkFbREZo6Kl2DWyb6vGfFoULdOHu99pZw50IAAAAAQP01ePBgywvzvvvuO1VWVgY97//+9z/L9eHDh/t81ogRIxQR4Xmi7L///e+gv4fx0UcfBfW8hsjb7zAUTVEVFRX6/vvvPa6HhYX53LgiSaeeeqrHtbKyMq+PY3+F4sz6rmXLloqN9fy+5dGjR30+y+rvhGR9YXhdNHbsWMv1Dz/8sIYqAbwLDw+3vCB91qxZ9WralNXF/KGYdhQW5nlqvNWUsepatGhRvfp9HBMeHq727dt7XPfnOcNbw0Z9nWpVWVmpW265Rdu2bfMYk5SUpKlTpyo+Pr4GK/uZ1WsvSXrjjTdqqJLqGzp0qOX6V199FfScCxYs8KsxCwCqi8YVAAAA1Ftep664XHKt9u+OGY6x1m8CSJJz7hKZFcH/oBUA6rOE8DC9MjxVg1om+Lzn1fU79dK6HQ2meSUmzK5nhqTo/M4tfN6zvahM189ar+yjxSGsDAAAAACA0ElISLBsMMjPz9f7778f1Jy7du3Sf//7X4/rDodDZ555ps/nxcbGWl4Mu27dOst8/tq6dSsXhPvgjDPOsJxw8emnn2rv3r1Bzfn222+rsLDQ4/rw4cP9ugjz9NNPt7xY+KWXXvLrIlhvXn/9dR040HAmHQeLVcOJtykqJ0pIsH7v0+rO83XRoEGDLC/Q3rBhQ8imZgHVcemll3pcM01Tr732Wg1WE5jExESPa4cPHw56vqZNm3pcKykpsXzuq45//vOfQT2vJgXrOSM+Pt5ykk0ofs+hZpqm/vKXv2jZMs83+oyOjtbrr7+utm3b1mBl/1/Xrl2VmZnpcf3HH3/Uli1barAi//Xu3Vtt2rTxuP7JJ58E/d/sW2+9FdTzAMATGlcAAABQbzn6pktepha7lq/z60x7lw6ydelgHVRSJteSVX6dCwCNQZTDrmeG9NC4ds183vPh5n16fMVWOd0No3nFYbPpz3266NZ0L88lJ8irqNKEORs0dy93MgIAAAAA1E8XXHCB5fqrr76qQ4cOBS3f3/72N8spLiNHjrS8QPNkLr/8csv1Z555Rvn5+X6deTKmaerRRx9VVVVVwGc1dM2bN9eIESM8rpeVlWny5MlBy7dv3z6vd+G+6KKL/DozMTFRZ599tsf1/Px8Pfvss36d6cm2bdv09ttvB+WshqS8vNzyDuL+/K1o3ry55fqOHTt8PqsuMAxDf/zjHy1jHn/8ce3fv7+GKgKsDRo0SCkpKR7Xv/vuO3333Xc1WFH1Wf092blzZ9DzeftbN3/+/KDl+uijj7RgwYKgnVfT9u3b53HNn+cMu91uGR+K33OoPf/88/r66689rtvtdj333HNKT0+vwap+66qrrvK45na7dd9999XpiTeGYeicc87xuJ6Xl6dXXnklaPm+//57LVmyJGjnAYAVGlcAAABQbxmJ8bIld7KMcW/NlXm0wK9zfZq6MnORTJfLr3MBoDEIs9n02IBuuqhLS5/3fLPjkB5YsklVbncIK6s5hmHoypS2emJAN4XbvHRY/p9yl1v3LsrRx1s8fyACAAAAAEBdNW7cOHXq1MnjeklJiR599NGgTF399ttvNWvWLMuYG264we9zBw4cqF69enlcP3LkiCZNmmTZMOOLZ555hgvD/HD99ddbrv/www+aPn16wHncbrceeeQRlZWVeYzp0qWLxowZ4/fZ119/vWw2z5fnfPLJJ/rkk0/8PvdE+fn5uuWWWwJ+fNa0YDSDeTN9+nTLvz3Jyck+nxUVFaUWLTxPW16+fLlftdUFl112mZKSkjyuFxYW6k9/+lOdfGxdeeWVSklJ8fi/l19+ubZLRAjcddddHteOTYPYsGFDjdXjqubnxR06eL75VSj+lnTs2FGRkZEe1z/66KOg5Nm6daueeuqpoJz1azXxnLFq1SrLZuuuXbv6dV5N/55D6eOPP/ba4PvAAw9o9OjRNVSRZ6eeeqoyMjI8rq9fv173339/DVbk/9+Kyy+/3HJq34cffqjs7OxAy1JRUZGefvrpgM8BAF/RuAIAAIB6zd7f8weJkiRTcq7y781JW1o3Ga08v0kvSWZevlyrs/w6FwAaC7th6J5TOuuGnu183jN7b57uX9xwmlck6dT2zfXy8FTFhzt8ijclPbsmV8+vyZUrCBfyAAAAAABQU+x2u26++WbLmJ9++knPPfdcQHlWrFjh9SKzYcOGqW/fvtU6/7777rNcX7x4scaPH6+CAv9uliT9fLHa5MmT9eabb1artsYqMzNTgwYNsoy59957tXbt2oDyTJ48WXPmzLGMueWWWywbUDzp1q2bLrzwQsuYhx9+WO+9957fZ0vS3r17deWVV2rbtm3V2l+bzj77bP3973/X3r17Q3J+cXGxZfNCXFycUlNT/TrTKv67775TRUWFX+fVtqioKN1xxx2WMcuWLdPEiRNVXFwc1NymadLIB7+NGjVKw4YN87heVlam66+/XvPmzQtpHbt27dITTzzh9bWDJ1Z/S9avX6/NmzdXt7STCg8PV//+/T2uL126VF988UVAOXbt2qXrr7/esgk0ENdff73+8pe/aOvWrSE53+Vy6ZlnnvG4bhiGBg4c6NeZVr/nuXPn6siRI36dV1vmzp2rRx991DLmuuuu8zrBsKYYhqH777/f8nXbN998o7vvvlslJSUhq8Plcumbb77RhRdeqE2bNvm1t2XLljrvvPM8rldVVenWW28NaKplZWWl7rzzTu3Zs6faZwCAv2hcAQAAQL1m791TststY1zL/fvAyrDZfJu6Mn1+UO4QCAANkWEYujG1vf7Uu5PPe+buO6q/LN6kSlfDaV45pXm83hqVrnYxnu9k9mv/3rJPf1mco3Ink70AAAAAAPXHeeedZ3lBpCRNnTpVf/3rX6t15/6ffvpJN9xwg+XFkOHh4XrwwQf9PvuY/v376/zzz7eMWbhwoc477zx9//33Pr8/vHbtWl1++eWaNm3ab9asJtXgZw899JDlHadLSkp07bXXavbs2X6fXVFRofvvv1/vvvuuZdzAgQN19tln+33+MXfddZeaNGnicd3tdutvf/ubJkyYoNzcXJ/OdDqd+uijj3T++ef/5mLIzp07V7vWmlReXq53331X48aN0+2336558+ZVe3rBrx09elQTJ060/HmeeeaZcjh8u+nMMVZ/5/bu3asHHnhA5eXlfp1Z2y6++GLLRgBJmjdvni699NKAm8Skny/k/eqrr3TOOefoL3/5S8DnofH5+9//rsTERI/rR48e1Y033qjnnnsuqE0ULpdLixcv1h133KHTTz9d77//vkpLS6t1VmZmpsc10zR1zz33BL2pb8SIEZbrDz74oNcmTk8WLFigSy65RPv2hW6qvNPp1Oeff66zzjpL1113nX744YegTYMqLy/XPffcYzkFZciQIWrWrJlf51o9Z5SWlupPf/pTjUySCUR2drbuuOMOOZ1OjzGnn3667r333hqsyru+fft6ncL49ddf66KLLgrKc9uJDh48qHfeeUennnqq7rrrrmpPgZo0aZKio6M9ru/evVtXXHGFz68dT1RUVKRbbrkl5E1+APBr/v3XFwAAAFDHGNFRsqV1k3vtRo8x5u79cu8/JJuXKSonsvdLl/ObmTLzCz2fu+eA3Bu3yt7T9zHyANDYXJLcWvHhDj26fKtPU0Tm/V/zypODuivc3jDut9EhLkpvjU7XPYtytPZIkU975uw9qolzs/SPISlqFhke4goBAAAAAPVVRUWFdu/eXaM5W7RoofDw3/63qmEYevzxx3XRRRdZXsT50UcfacWKFbr33ns1fPhwr/l2796tl156yae7gE+aNCngC/YfeughrVixQrt27fIYs2/fPk2aNEmdOnXS2WefrczMTHXp0kWJiYmy2WwqKirSrl27tHLlSv34449asWLFSc+55JJL5HQ6q3WxWWOSnJys2267zXJiT3FxsSZMmKALLrhAt912m9q0aWN5pmmamjt3rp566imvd26PjY3V448/Xq3aj2nWrJmefPJJTZgwwTJu1qxZmjNnjoYPH66xY8eqV69eateunaKjo1VVVaW8vDxt2bJFixYt0tdff62DBw/+5gzDMPTEE0/Umbue+8LlcumHH37QDz/8oKSkJJ122mkaPXq0MjMzFRnp+w1hpJ//Ln722Wd6/fXXdeDAAY9xYWFhuvbaa/2u9dRTT7W8I/9XX32lRYsW6cwzz1SvXr3UsWNHxcTEWH4fERERSkry/TOsUPj73/+uiy+++KSPqWO2bt2q3//+9zr77LN13XXXqWfPnj6fb5qmVq1apW+//Vbff//98TvEt23bNuDa0fi0bNlSTz/9tCZOnOjxYnrTNPXGG2/oP//5j/74xz/q8ssvV/Pmzf3OVVZWpqVLl+rHH3/UjBkzdPTo0UDLlyRlZGSoVatW2r9//0nXs7OzdeaZZ2rs2LEaOHCgunTpovj4eEVHR8swDI/ntmvXzuPaRRddpClTpnhslKisrNT48eN1zTXXaPz48ZYNl8ds27ZNU6ZM0VdfffWbtcjISPXo0UOrV6/2eo6/FixYoAULFighIUFjx47V2LFjNWjQIMXGxvp1jtPp1Pfff6+XX37Z6+uxG2+80e86R4wYoYiICI/TuBYuXKhx48bp9NNPV9++fdW5c2fFxcUpMjLS4+/Z4XCoVatWftdSXe+9957lVJLOnTtr0qRJNTK1Iz4+XvHx8T7H33777Vq9erWWLl3qMWb79u265JJLNHjwYF133XUaNmxYtSbs7dixQzNmzNCPP/6o1atXB+UGqC1atNBdd92lJ554wmNMbm6uLrroIt155536/e9/b9nsfcysWbP0t7/97aT/vdOxY0ft2LEjoLoBwAqNKwAAAKj3HP0yVGnRuCJJrhXrZPvdGJ/PNBwO2UcNkvN/P1rGOWcsoHEFALw4vUOS4sId+vPiTarwYZrK/P1Hdd/iHE0elKKIBtK8khgRpleGp+rRZVs0Y49vo983HC3W9bPW6/mhPdQ53vMdlQAAAAAAjdeaNWs0duzYGs35v//9z+PFyl26dNGTTz6pSZMmWZ6xadMm3XDDDerSpYvGjRunXr16qX379scvzj948KA2bdqkefPmaeHChT5NYDj11FO93lXZF7GxsZoyZYr++Mc/qqjI+gYUubm5euWVV6qVJzk5WX/+858tL0SzujC1sbnpppu0atUqzZo1y2OMaZr6/PPP9cUXX2jYsGEaOnSounfvrqSkJIWHh6u0tFS7du3SmjVr9NNPP/nUMGQYhp566il17Ngx4O9h9OjRuv322/XSSy9Zxrndbs2ZM6fad72fMGGC1+lHdfmxdejQIX3wwQf64IMPFBYWptTUVPXs2VPJyclq06aNkpKSFBMTo/DwcFVUVKi0tFQHDx7Utm3btGbNGi1cuNCnCQjXXXedunTp4nd9nTp10pAhQ7Rw4UKPMYcPH9b777/v85kDBgzwKz4UWrZsqddee01XXnml5c/P7Xbryy+/1JdffqmuXbtq8ODBSk9PV/v27ZWYmKiIiAiVlJQoPz9f+fn52rRpk9avX69169YpLy+vBr8jNHQjR47Uo48+qgceeMAyLj8/X1OmTNFrr72mbt26qV+/furdu7eaNm2qxMRExcfHy+12q6ioSIWFhSouLtbu3bu1ceNGZWdnKzc3V2538KfEG4ahP/zhD3rhhRc8xpSXl+ubb77RN9984/O5OTk5HtdiY2N1/fXX69lnn/UYY5qmpk2bpg8//FDjxo1T//791b17dyUkJCgiIkKlpaXas2ePsrOzNX/+fK1atcrjWXfffbeysrJC0rhyTEFBgT7//HN9/vnnstlsSklJUVpampKTk9WuXTu1aNFCsbGxCg8PV2VlpcrKynT48GFt27ZNGzZs0Lx581RQUOA1z9lnn63Bgwf7XV9sbKzOPfdcffLJJx5jioqK9Omnn+rTTz/16cy2bdtq5syZftdSXd4aMLZv366zzjqrRmq59dZbddttt/kcHxYWdvx1/a+n0/3aokWLtGjRIsXHx6tv377q16+fOnXqpISEBCUkJCg6OlrFxcUqKipSUVGRjh49qk2bNmnjxo3Kycnx6XFUHVdccYXmzp2ruXPneowpLi7W448/rjfeeEPnnHOOhgwZom7duqlJkyay2WwqLCzU9u3btXz5cn399dcefxbHmuppXAEQSjSuAAAAoN6zpXWXIsKlCs+jgF3L18lx1mi/PoxxDOkn5w9zpTLPI93dm7bLvXOPbB24IxQAWBnSqoleGZ6quxZkq6jK+8UmC/fn675FOXpqcMNpXomw2/TEwG5qsz5C72/a69OefaUVunH2ej01OEX9khJCXCEAAAAAAIE744wz9MADD+hvf/ub19ht27Zp6tSpAeccOHCg5QQEf3Xv3l2vvfaaxo8fb3mH6epq3ry5Xn/9da93BXc4uKTjGMMw9Nxzz+mGG27wOMHmGJfLFVDjx4keeeQRjRs3LuBzjrnllluUn5+v9957L2hnnujMM8/02jgm1Z/HVlVVldasWaM1a9YE9dzBgwfr9ttvr/b+u+++W0uWLPGpqa4+SU9P15tvvqmbbrpJxcXFXuO3bt3qdWIREEoXX3yxbDabHnroIY+TV44xTVObNm3Spk2b9NFHH9VQhdauvPJK/fvf//Y4dSUUrr76av3www9av369ZVxFRYXfTTMnOuecc3TllVfqL3/5S7X2V4fb7VZ2drays7ODem737t316KOPVnv/Lbfcom+++canpkoEX1xcnN577z1NmDDBpyaqwsJCzZ49W7Nnzw55bb4wDEPPPvus/vCHP3h9zj148KDeeustvfXWW37n8aWpHgCCoWFc+QEAAIBGzQgPk/2UVMsY88hRmTv8G09rREbIMTzTa5xz+gK/zgWAxqpXszi9NjJNieG+fTC+6EC+7lm4UeUN6ANgm2Ho1oyOuq9PZ5/flCmqcun2edn6buehkNYGAAAAAECwXHXVVXr44Ydr5OL4UaNG6fXXX1dkZGRQz83MzNT777+vFi1aBPXcjh076qOPPlL79u0lSWVlZR5jIyIigpq7vouOjtbUqVM1bNiwkOcKCwvT448/rssuuyzoZz/wwAO68847ZbMF95KdSy65RM8++6wMw7B8XEmN+7E1ePBgTZkyJaC/T+np6brnnnuCWFXd0a9fP73//vtq165dbZfilbdGhcb8OG9MLrzwQk2dOlXNmzev7VL8Fhsbq+eee65GH6sRERGaMmVK0F/fnGjkyJF68skn6/R0L1/16NFD06ZN89psbKV169Z68skng/68D981adJE77zzjs4999zaLqVa4uPj9eabbwZlAuDJ+NpUDwDBwLMhAAAAGgR7vwyvMc7la/0+1zFioOSwW8a41mTLfeiI32cDQGPULSFGU0akqUmEbx8MLzlYoHsW5jSo5hVJurBLKz07tIeiHb69NeM0Tf112RZ9urXm7rwGAAAAAEAgLr/8cr355pshuzDS4XBo4sSJeu211xQdHR2SHGlpafryyy912mmnBeW8c845Rx9//LE6dOhw/GtFRUUe47no+rdiY2M1depU3XTTTbLbrd+7r67WrVtr2rRpuvTSS0NyviRNmDBB06ZNU9u2gU9zj42N1eOPP64nnnji+M+ksLDQck+wG73qg7CwMI0fP15vvvlmUP5mXHvttXrssccUFRUVhOrqltTUVH3++ef63e9+V9uleFRVVaWNGzd6XI+KitIFF1xQgxWhNg0dOjSoz9e+CgsLU7du3QI6o1+/fnr33XfVpk2bIFXlXcuWLfXOO++oU6dOQT/7sssu05QpUxQWFhb0s2uSYRi65JJL9NFHHwWlKeqMM87QK6+8osTExMCLQ7VERUXpH//4h5555hk1a9asRnO3bdtW8fHxAZ3Rpk0bffDBB8rI8H5djD86dOjwi6Z6AAg1GlcAAADQINi6dZLiYixjXKs2yPTzwmcjPlb2gadYB5mmnDMX+XUuADRmXROiNWVEmppG+PbBxdJjzSvOhtW8MqRVE70xMl1Jkb79HOLDHRrQIiHEVQEAAAAAEDyDBw/Wd999pyuuuCKoFzD269dPn376qSZNmhTyu1c3adJEL7/8st5//30NHDiwWmcMHjxY77zzjp555pnfXLBo1WBQ0xfV1Rd2u1133323/vOf/6hPnz5BOzc8PFxXX321vvnmG2Vmep/GHqhBgwbp+++/13333afWrVv7vT86OlpXX321vv3229802Vg1RElS06ZN/c4XCo899pjOPvvskF/IO2zYMH355Ze66667gjoJ6ve//72+++47XXnllQFfkFrXJCQk6LnnntO0adOUlpYW9PMNw9DQoUP1wAMPVGv/mjVrVFpa6nH9iiuuUFJSUnXLQz3UrFmz48/X/fv3D2mu1NRU3X///Zo7d67uvPPOgM/r06ePvvnmG91zzz01Nu2oa9eu+uyzz3TGGWcE5bxWrVrp5Zdf1l//+teQTdy75557dPHFF4f833ZGRoY+/vhjPfHEE0Ftjh47dqy+//57TZgwgb9Pteicc87Rjz/+qAkTJoT0uTs6OloXXnih3nvvPc2YMSMozcpJSUn68MMPdd111wXl39nZZ5/9m6Z6AAi10M/lBQAAAGqAYbfL3jddrjlLPAcVlci9abvsPZP9OtsxeohcC1dIpucY15JVMs8cJSOe8akA4Isu8dGaMiJVE+dmKa+iymv80oMFunvhRj0zpIeivEzCqk+6J8bordEZumvhRm0p8PxBa5jN0NODU9QhruHdwREAAAAA0LDFxsbqoYce0k033aR//etf+uqrr7Rv3z6/z4mMjNTo0aP1xz/+UQMGDAhBpdYGDBig9957T9u3b9eMGTO0ePFibdq0SQcOHPhFnGEYatOmjbp3764BAwZo7Nix6tixo8dz8/LyPK4F4w7fDVlGRob+/e9/a9GiRfroo480e/ZsVVRU+H1O27Ztdc455+jyyy8P2YQgT8LDw3Xdddfp6quv1sKFCzV37lytWrVK27ZtU0lJyS9iIyMj1aVLF/Xo0UPDhw/XiBEjFBt78s8kjhzxPCU+LCysztzx/ayzztJZZ50ll8ulVatWacGCBVq1apXWrl37m+/fX0lJSTr77LN17rnnKjU1NUgV/1br1q314IMP6r777tOKFSu0cuVKbdq0STt37tSRI0dUWFioyspKOZ3OkNUQSkOGDNHnn3+uxYsX65NPPtGsWbOq/bux2+3KyMjQ8OHDdd555wV0d/fFixd7XIuNjdUNN9xQ7bNRvw0YMEAffPCBsrOz9emnn2r69Onavz+wSebx8fEaOHCgBg8erKFDh4ZkUkl0dLRuuOEG3XDDDdq4caOWLl2q7Oxs5ebm6uDBgyooKFB5ebmqqrx/nuKr2NhYvfjii1q9erVef/11zZ49W6Zp8YH4SXTt2lWXX365LrjggpM2eSQlJalz584n3etv88awYcM0bNgwmaapDRs2aP78+Vq5cqXWrFmj/Px8v876tYSEBJ1xxhk699xz1a9fPxmGEdB5njRp0kR33nmnJk2apDVr1mjFihXauHGjdu7cqcOHDys/P1+VlZVB/T3jt2JjY3XnnXdqwoQJ+uqrr/Ttt99q2bJlAT1XG4ahlJQUDRkyRIMHD9aAAQNCMuEuPDxc9913ny6++GK99NJLmj59ut91Dxw4UBMmTNCQIUOCXh8AeGOY/r7aAAAAQZGTk6MHH3zwF1974oknlJKSUksVAfWfe8duVTz7pmWMfUBvhV/h/2jwirc/lnt1lmWM47ThCjt7rN9nA0BjlltYponzNuhIuW9vwvdNitdzDax5RZKKq5y6f/EmLTlYcNL1xwd002ntuVgFAAAAAFD/maapdevWacWKFVq/fr127Nih/fv3q6SkROXl5XI4HIqOjlazZs3Uvn17de/eXf369VP//v09XqRfmyorK1VUVKSqqipFRUUpJibG5zsg5+XlafDgwR7XP/zwQ/Xr1y9YpTZ4xcXFWrp0qVauXKnNmzdr165dOnLkiEpLS+V0OhUZGamYmBi1bt1aHTp0UEZGhvr376+0tLSQXaAaiOLiYpWUlMgwDMXExCg6OtrnOt966y09/fTTJ13r2LGjfvzxx2CWGnRut1ubNm3Sxo0btWPHDu3cuVO7du1SXl6eSktLVVpaqsrKSkVFRSk2NlZxcXFq0qSJunfvrh49eig1NVU9evSQ3d6w3kOsCyoqKrRq1SqtWrVKGzdu1O7du3XgwIHjf8PDwsKOP16bNGmizp07q0uXLurWrZsyMzOVkBCcidJXXnmlli5detK12267TbfeemtQ8qD+M01TOTk5Wrt2rdavX69du3Zp7969ys/PV3l5uSorK48/P8TExCguLk7t27dXly5d1LVrV3Xt2lXdunUL+YS3umD//v1avHixlixZok2bNik/P1/5+fkqKys7/jNq06aNOnfurNTUVA0bNkxdunSp7bIlSdu2bVNWVtbx54xjzYOlpaXH/z5FRkYqLi5OsbGxSkhIULdu3Y4/Z6Smpio8PLy2vw3UosLCQq1cuVLr1q3T5s2btXfv3uPPbxUVFcdfjx37X7NmzdSlS5fjfytSUlJqZaLdgQMH9NNPP2nBggXauHGj9u3b94sGtGNN9d26ddOAAQM0ZswYj81kAFATaFwBAKCW0LgCBJ9pmqp44mWZhzzfoU4R4Yr82z0ywsP8Otu9Y48qnv2ndVBUpCIfvVNGZIRfZwNAY7ejqEwT527QYR+bV/o0j9NzQ3squoE1rzjdbj29aru+yD34i69PTO+gq1MCHyEOAAAAAADqltmzZ2v8+PEe15cuXRq0i7zRuNx+++364YcfTro2ZswYvfbaazVcERA85eXl6t+//0knEiQmJmrGjBl1stERAIBQq6ysVHFx8fGmvNjYWJ+b6gGgJjT8VmAAAAA0GoZhyN4vwzqoolKu9Tl+n23r2Fa2bp2sg8rK5Vq00u+zAaCx6xgXpddGpCkpyre7Wa06XKQ7F2Sr1OkKcWU1y2Gz6S99u+jmtA7Hv3Zepxa6qnubWqwKAAAAAACEyrJlyzyutWrViqYVVIvL5dLKlZ4/q+AmeqjvVqxYcdKmFUm64YYbaFoBADRa4eHhatq0qVq1aqXExESaVgDUOTSuAAAAoEHx2rgiybViXbXOdowb5jXGOWuRTKezWucDQGPWIS5Kr41IVQsfm1dWHy7SpPnZKqlqWM0rhmHomh5t9fiAbhrRuonu7dNZhmHUdlkAAAAAACDIKisr9fnnn3tc79+/fw1Wg4Zk5syZOnTokMf1zMzMGqwGCL7Fixef9OtJSUm64oorargaAAAAAL6icQUAAAANiq1lcxntW1vGuLM2yywt8//sHl1ltG1pGWPmF8q1cr3fZwMApPaxP09eaelj88raI0W6Y0G2iqsaXsPgae2b6+nBKXLYeOsGAAAAAICG6JtvvlFeXp7H9UGDBtVgNWhI3nvvPY9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AAAAAaAqCKwAAAAAA4AzDbpd99pQG+5mHjsn7xbYQVNQww26T465vychM86u/e/5yuZd/LNM0g1wZAAAAAABobTKjwvXLYT00f/IQXdcj3e+TUsZkJMioJ+xit1g0qVOynht3gV66fKCmd0mRw3L+p7vUptTt1bIjefrZhixNfudL/eLTLC0/kqcylyeg6wAAAAAAADQWwRUAAAAAAHAOywW9Zenfs8F+7iUfyKyqDkFFDTMiwhV237dlJMb51d+z7CO5XnxLptMV5MoAAAAAAEBrlBEVpgcHd9O704bpxfEDdXvfDuodF1ln/0szGjjB9ix9E6L1yPCeemfaML+DMY1V7fXpo+OF+n9f7NOUd7/UD9fu1MIDOSqo5l4IAAAAAAAIPYIrAAAAAADgHIZhnDp1xdrAbYOyCnlWfByaovxgxMXKcd9NUmSEX/19W3bK+ZcX5CsoCnJlAAAAAACgtbIYhvonRuueAZ318sQLtWTqUP1scDeNSos/c2JKlM2qISmxjZ672utTQbU70CXX4DFNfZpTot9vPqDpSzfq7tXb9Z+9J3SiomVsSAIAAAAAANo+W3MXAAAAAAAAWh5LarJs40bJs2pdvf08qz+T9eKhsqSnhKiy+lnSUuS450a5nnxJcnsa7G+eyJHz/56V4/brZO3VLQQVAgAAAACA1iwtMkzX9EjXNT3SVenx6oucEhU4XbJbGr9v6Nrs0G+mYUraWlCmrQVl+uu2w+oTH6WRqXHqmxClPvFR6hAVLothhLwuAAAAAADQtrX54MqDDz6o2bNna/To0TK4uQIAAAAAgN9sky+T54utUml53Z18PrnnvyfHd29uMZ+7rd06yXHbHLmef10yzYYHVFTJ9Y+XZb9miqxjRrSY1wEAAAAAAFq2SJtVYzsknvf45giufFNWcYWyiivO/B5ps6pPfKT6xEerT3yU+iZEqXN0hGwW7pcAAAAAAIDz1+aDK0uXLtWyZcuUmpqqGTNmaMaMGerRo0dzlwUAAAAAQItnhIfJPuMKuV9eWG8/X9YB+b7aLeugfiGqrGHWgX1kv/5KuV9/x78BPp/cby2T7/hJ2a+dJsPW5m+ZAAAAAACAZlTp8erLvJLmLqOGSo9Xm/PLtDm/7My1MKtFPeMi1Tf+1KksfeKj1D02Ug5r40+ZAQAAAAAA7VO7eQojJydHzz33nJ577jkNHDhQs2bN0vTp0xUbG9vcpQEAAAAA0GJZhw+Sd92X8h04Wm8/94IVsvTtKcNhD1FlDbONHiZZLXK//q7k9fo1xrt+k8yTeXLcfr2M2OggVwgAAAAAANqrz3KK5fb5cVJsC+D0+rSjsFw7Cv97Kq/NMNQjLlJ94qPUOz5KfeOj1CsuUuE2azNWCgAAAAAAWqp2E1wxDEOmeeqmz1dffaWvvvpKv/vd73T55Zdr1qxZuvTSS2WxsBsIAAAAAABnMwxD9mumyfl/z0j1PEthFhbLs2qd7FPHhaw2f9guGiIjNVmu51+Xyir8GuM7cFTOPz0rx53fkqVTZpArBAAAAAAA7ZEpqXtshA6UVjV3KefFY5rKKq5QVvF/77dYJHWJiVCfhKgzp7P0jo9StL3dPJoCAAAAAADqYJin0xxtVN++fWUYxjnXzn7Jp9uSkpJ01VVXadasWerdu3dIawQAtE9ZWVmaO3fuOdcee+wx9enTp5kqAgAAqJvrjXfkXbex/k52m8Ievl+WxPiQ1NQYZlGJnC+8IfPICf8H2W2y3zhDtmEDg1cYAAAAAABo105UVGtNdpHWZhdpU16pPG3wEY6OUWHqEx+tPglR6p8QrUFJMQqzsrEoAAAAAADtSbsJrtQWVpFqD7H069dPs2fP1vTp05WQkBC6YgEA7QrBFQAA0JqY5RWqfuwJqbK63n6Wwf0Vdvt1IaqqcUyXW+7X35H3y22NGmebOEa2Ky+XwUmtAAAAAAAgiEpdHn14vEArjuZrc15pfYfftmoRVotGpsVpTEaiLkmPV1K4o7lLAgAAAAAAQdZugiun1RVgqa3NZrNp7NixmjlzpsaPHy+r1Rr8ggEA7QbBFQAA0Np4Pvlc7reXNdjP8b1bZO3TPQQVNZ5pmvJ8uF6eJSulRtwSsfTvJcet18iICA9idQAAAAAAAKfkVDr1/tF8vX80X3tKKgM6tyG1mFCMIal/YrQuzUjQmIwE9YyNrPEsBwAAAAAAaP3afHBlxIgRKisrk1T3SSv1tZ2+npCQoCuvvFKzZs1Sv379glkyAKCdILgCAABaG9PrlfOPz8o8kVNvPyMjRWE/u1dGC94Awrtzr1wvvS1VOf0eY6QmyXH3DbKkJgexMgAAAAAAgHMdKK3UiiP5WnE0X9mV/t/LqMu9Azqpe2ykvswtUVZxhfYUV6jK6wtApU2XERmmS9LjdWlGooamxMph5QRcAAAAAADagjYfXHG5XFq5cqUWL16stWvXyuv1SmpaiKVXr16aPXu2rrrqKiUlJQWzfABAG0ZwBQAAtEbefYfk+vu/G+xnnz1FtnEXB7+gJvDl5sv13Osyc/L9HxQRJset18rav1fwCgMAAAAAAKiFaZr6qrBcy4/kadWxAhW7PI2ew5C0eOpQpUWGnbnmNU0dK6/W7uIKZRWVK6u4QlnFFSpzewNYfeNF2iwamRqvSzMSdElGghLC7M1aDwAAAAAAOH9tPrhytvz8fC1ZskSLFy9WVlaWJNU4Yra2oEpdbVarVWPGjNHs2bM1fvx42e3cJAEA+I/gCgAAaK1c/35b3k3b6+8UEabwud+XERMdmqLOk1lVLde8+fLt2Ov/IEOyXX2FbJePrnHvAAAAAAAAIBQ8Pp8+yynR+0fztfpEoar9PDFlaHKsnho7oMF+pmkqu9J5JsSyu6hCu4srVOR0N7X082JIuiAxWmMyEnVZZoK6xURwXwYAAAAAgFakXQVXzrZ7924tWLBAS5cuVUFBgaSmncISGxurK6+8UjNmzNCgQYOCWToAoI0guAIAAFors6hE1b99UnLV/6CC7crLZZ90WYiqOn+mzyfP0g/l+WBto8ZZhw2U/YarZTjYyAIAAAAAADSfKo9Xn5wo1Iqj+fo0p0Teeh4DeWhod83sltboNY6UVclqSA6r9VSQpbhce74OtZysdDWl/POSGRmmMRkJujQjQUNSYmW3WEJeAwAAAAAA8F+7Da6c5vV69cknn2jRokX66KOP5HKduqHSlBBL9+7dNWvWLF199dVKTU0NZvkAgFaM4AoAAGjN3O+vkefdVbU3xkbLfvUVso4Y1Kp2vvRs2i73q4skt8fvMUanDIXd+S0ZCXHBKwwAAAAAAMBPRU63Vh0r0Iqj+dpWUHZOm80w9N6VwxXrsDV63l98mqXVxws1Kj1es7ulaXRGgqxf3/cpdrrPnMxy+nSWYxXVAXk9/oiyWXVxWrzGZCTokvR4xYWxyQgAAAAAAC1Nuw+unK20tFTvvvuuFi9erK1bt0pSjQdsaguq1NVmsVg0atQozZ49WxMnTpTD4Qhi9QCA1obgCgAAaM1Mt0fO3/1DZn7Rfy9aLbKNu1i2yWNlhIc1X3FN4DuaLdfz/5FZVOr/oJgoOe64XtbunYNXGAAAAAAAQCOdqKjW+0fztfxIvg6WVemyjAT9cXTfRs+TV+XSjPc2ynvW0yVpEQ7N7Jamq7umKjmi5rMQ5W6P9hZXandxhbKKy7WrqEKHyqqa8nL8YpE0MClGl2YkaExGgrrGRLSqjVUAAAAAAGirCK7U4eDBg1q0aJGWLFmi7OxsSf6HWGq7Hh0dralTp2rWrFkaMmRIMEsHALQSBFcAAEBr592eJdez/5EkWfr2kP2aqbKkJTdzVU1nlpXL9cKb8h044v8gq0X2OdNlGz0seIUBAAAAAACcB9M0tbekUpLUOz6q0eNf2HVMz+48Wmub1TB0WWaCZndL0/DUOFnqCYlkVzi1NrtQa7KLtCm/VG5f8B9XSYtwaFBSzJmfnnFRslkIsgAAAAAAEGoEVxpgmqY+/fRTLVy4UB988IGqqk7tAFJXUKW+ttPXO3furNmzZ2vGjBlKT08PZvkAgBaM4AoAAGgLXG++K2u/nrJc0KdN7V5pejxyz39P3nUbGzXOetlI2WdNlmG1BqkyAAAAAACA0PH4TM1avkm5Va4G+3aKDtesbmm6skuK4sLs9fatcHv1WW6x1mYXaV12kYpdnkCVXK9Im0UDEmI0KPlUkOWCxGhF220hWRsAAAAAgPaM4EojVFZWasWKFVq0aJE+//xzmabp9ykstbUZhqGLLrpIs2bN0qRJkxQeHh7cFwAAaFEIrgAAALR8nrVfyP32e5LP5/cYS6+ucnxnjozoxu9gCgAAAAAA0JKsOVGon2zIatQYh8XQ5R2TdE33dA1MjG5wsxOvaWpHYbnWZBdqbXaRDpRWNaXkRrFI6hEXqUFJMbowKUYDk2KUERnWpjZoAQAAAACgJSC4cp5OnDihRYsWafHixTp8+LCkhoMqtbWdvh4ZGakpU6bot7/9bTDLBgC0IARXAAAAWgfvvkNyvfCmVFHp9xgjMV6Ou2+QJTMtiJUBAAAAAAAE14/X7dL6k8XnPb5nbKRmdU/TlM7Jfp9scqKiWmuyi7Q2u0ib8krlCfFjLSnhdg1Kij0VZkmOUa+4KNksBFkAAAAAAGgKgisBsGXLFi1YsEDLly9XaWmppHODKt98i+tqMwxDu3btCnK1AICWguAKAABA6+ErLJbruf/IPJ7j/yCHXY6bZsk6uH/wCgMAAAAAAAiSExXVmr18swLxUEmE1aJJnZJ1TY909Yn3/5TacrdHn+WUaE12odafLFaJyxOAahon3GrRgMToc05l8TeEAwAAAAAATiG4EkAul0srV67U4sWLtW7dOnk8p26Y1BdUOfs6wRUAaF8IrgAAALQuptMl96uL5N2ys1HjbFdeLtsVl9Y4jRUAAAAAAKAlO1JWpad3HNXqE4XyBvDRki7R4RqTkaBLMxM1MDHG79NMvKaprwrKtDa7SGuyi3SorCpgNTWGIalHbKQGJsWcCbNkRoVx7wcAAAAAgHoQXAmSgoICLVmyRIsWLVJWVpak/wZVajuBheAKALQ/BFcAAABaH9M05flgjTxLP1Rjthu1XjpC9mumyrBYglccAAAAAABAEBRUu7TkUK4WHczRyUpXQOeOddg0Oi1eYzISNCo9vlEnmRwrr9aa7CKtzS7U5vyygIZrGisp3K4Lk2J0UVq8RqXFKy0yrNlqAQAAAACgJSK4EgK7d+/WggULtHTpUhUUFJwJqpxGcAUA2ieCKwAAAK2X96ssuebNl5z+P6xhGdxfjptny2jEAxgAAAAAAAAthdc0teFksRYeyNG6k0WN2dPDL1bD0JDkGI3JSNSlGQnqGB3u99gyl0ef5hRrbXaR1p8sUqnbG+DqGqd7bIQuTovX6PQEXZgUI4eVzUwAAAAAAO0bwZUQKikp0cMPP6yVK1eeE14huAIA7RPBFQAAgNbNl50r1/Ovy8wr9HuMpWdXOe76lowI/x+8AAAAAAAAaGmyK5xafChHiw/mqtDpDsoa70wbqtSIxp9c4vGZyiou17aCsjM/+dXBqdEfEVaLhqfGfR1kiVdmFPeFAAAAAADtD8GVIDNNU+vXr9fChQu1atUqVVdXn7l+GsEVAGifCK4AAID2yrtjj3x7D8o+c3Jzl9JkZmWVXP9+W77d+/0eY3RIU9i9N8mIiwliZQAAAAAAAMHn8fn08YkiLTyQoy/ySgI2b6+4SL0y8cKAzGWaprIrndpaUKZt+aeCLPtLKwN+Yoy/OkeHa1R6vEanJWhwSozCrdZmqgQAAAAAgNCxNXcBbdX+/fu1aNEiLVmyRLm5uZLODasAAAAAANDe+PIK5F6wQr4deyRJln69ZO3TvZmrahojMkKOe26UZ8lKeT7a4NcY83iOnH95QY7v3iRLanKQKwQAAAAAAAgem8WiCR2TNKFjkg6XVWnRwRy9eyhXpW5vk+Ydk5EQoApPbSaaGRWuzKhwTe2cIkkqc3m0vbDsVJiloEw7CstV7fUFbM36HCmv1pF9J/XGvpMKs1o0NDlWo9LjNSotXp2iw2UYRkjqAAAAAAAglAiuBFBxcbGWLl2qhQsXaseOHZJqnqzyzWsAAAAAALR1ptMpz/tr5Plwg+T970ML7vnvyfLze2W08l0lDatV9lmTZXRIk/s/SyQ/HnIwC4vl/Mu/FHbvt2Xp0iEEVQIAAAAAAARXl5gI/XBQV90zoJM+PFaohQdztK2g7LzmOp/gimmaMiVZ/Ah+xDhsGpWeoFHpp9bx+HzaW1KpbV8HWbYWlCmvytXoGhrL6fVpQ06xNuQUS5I6RIVpVFq8RqUnaFhKrCJsrfu+GQAAAAAApxFcaSKv16vVq1dr0aJFWr16tTweT61hldPqawMAAAAAoC0xTVPeTdvlXvS+VFLzIQXzZJ68n3wu2/hRzVBd4NlGDpYRFyPX829ITj8ebKiolPOJf8txx/Wy9usZ/AIBAAAAAABCINxq1bQuKZrWJUV7iiu06GCOVhzNV7mfp7AkhtnVPyG60eseLKvSdz/ZodHpCbo0I0EXpcUr0s/gh81iUb+EaPVLiNb1PTNkmqZOVrq0raD0zKks+0sqFewzWY5XOPX2gRy9fSBHdouhIcmxGpUWr4vT49UtJoLnTAAAAAAArRbBlfO0Y8cOLVy4UEuXLlVxcbGkukMp/gRZMjMzdfXVVwexYsA/e/fu1SeffKKdO3dq//79ysvLU0VFhdxut6KiohQdHa0uXbqoZ8+eGjlypEaPHq2oqKjmLrvZ5Obm6uOPP9bWrVu1b98+nThxQuXl5aqurlZ4eLiio6OVmZmpnj176sILL9TYsWOVmprabPVWVlZq1apVWr9+vXbt2qUTJ06ooqJCFotFcXFx6ty5sy688EKNHz9eI0aMCPmNz+3bt2vOnDny+c695RsREaFly5YpMzMzpPUAAACgaTwrPpFn2Uf19nG/t1rW4QNlxDT+YYSWyNqnh8J+cJucT78qlVU0PMDlluuZ12T/9gzZRlwY/AIBAAAAAABCqHd8lH42pLt+fGFXbckv05rsQq3NLtLxCmedYy7JiPfr1JRvWpNdpCKnR0sP52np4TzZLYYuzUjQHf06qmdc477TNgxDGVFhyohK0eTOKZKkcrdH2wvLta2gTF8VlGl7YZkqPcGLsrh9pj7PLdHnuSX621eHlR7p0MVp8RqdlqBhqbGKtvPIDwAAAACg9TDMs1MVqFdeXp6WLFmiRYsWad++fZL8C6vU1RYREaFJkyZp5syZGjWqbewui7rt379fM2fOlMvV8K67q1atUseOHUNQ1SkVFRVasGCBXnnlFR06dKhRY+12uyZPnqxbb71VgwYNCk6BLYzP59OqVav00ksv6csvv6zx//f6GIah4cOH65ZbbtHEiRNlsViCWOl/VVVV6dlnn9W8efNUXl7u15hu3brpBz/4gaZNmxbk6k4xTVPXX3+9tm7dWqPtgQce0D333BOSOkIpKytLc+fOPefaY489pj59+jRTRQAAAIFlFpeq+rEnJJe73n7Wi4fIceOMEFUVGr68QrmeellmfpHfY2wzrpB9wiVBrAoAAAAAAKD5maapg2VVWptdpDXZRdpeUHbOSSZ/uLiPxnZIbPS8d63erm0FNU/9tRqGvndBZ93QK+O8AjF18fhM7S+t1Jb8Un2WU6yNeaWq9gb7TJZTrIahYSmxmto5ReM7JCrCz5NlAAAAAABoLgRXGuByufTBBx9o4cKF2rBhg3w+n18nqNTVdvqh9VmzZmny5Mnt+qSK9sQ0Td1www3avHmzX/1DGVx555139Pvf/175+flNnmvq1Kl66KGHlJaWFoDKWqZt27bpV7/6lXbs2NHkuQYMGKBf/epXQQ/87Nq1Sz/4wQ905MiR8xp/+eWX649//KOio4O7A/Zbb71VI8QhSV27dtU777wjh8MR1PWbA8EVAADQHrjfXyPPu6sa7Bf24J2ydAldgD8UzNJyOZ9+VeaxbL/H2MaPkm3GFTJCFHIHAAAAAABobsVOt9afLNaa7EJtzi/VwilDGx3EKHK6NfXdL1XfAzCXpMfrkeE9FR9mb1rBdXB6fdqSX6pPc4q1/mSxDpVVBWWdb4qwWnR5xyRN75KiIcmxAQ3nAAAAAAAQKARX6vDll19q8eLFWr58+ZnTCfw5XaWuIEvHjh01c+ZMzZw5M6QnaaBlePXVV/Wb3/zG7/6hCK5UVlbqF7/4hVasWBHQeWNjY/XnP/9Zl156aUDnbQmeeeYZ/fWvf5XPF7hdciwWi370ox8F7TSRzz//XPfcc48qKyubNE/v3r310ksvKTGx8Tsb+aOkpESTJ09WUVHN3aiff/75Nvn3SSK4AgAA2gfT7ZHz9/+UmVdYbz+jSweF/fiONhfYMKudcr3whnxZB/weYx0+UPYbZ8iw2YJYGQAAAAAAQMvjNU1ZzyN4sfRwrn7z5f4G+6VEOPToyF4akhx7PuU1SnaFUxtyivVpTpG+yC1RpSf4p7FkRIZpaudkTeuSok7REUFfDwAAAAAAfxFcOcuxY8e0aNEiLV68WMeOHZPkX1ilrraoqChNnjxZs2fP1vDhw4NZOlqwkydPatq0aaqoqPB7TLCDK4WFhfrOd76j3bt3B2V+i8WiRx55RDfccENQ5g81n8+nn//851qyZEnQ1pgxY4Z+//vfyxLAh/QOHz6s2bNnnwnfNdWFF16o1157TbYgPDz361//Wq+99lqN61dccYWefPLJgK/XUhBcAQAA7YV3xx65nqn533vfZJt0qexXTghBRaFlejxyv7pI3o3b/R5j6dtDjjuukxEWFsTKAAAAAAAA2oZffJqlj47Xv3HKaVZDurt/J93Sp0PITidx+3zaVlCmDSeLtSGnWPtKmrbxoD8GJcVoepcUTeyYpGg7G6QAAAAAAJpXu/9kWlFRoffee0+LFy/Wxo0bZZqmXyeo1NVmsVh08cUXa+bMmZo8ebLCw8OD+wLQ4v3qV79qVGgl2MrKynTHHXcELbQinQp6/PrXv1Z4eLhmzZoVtHVCwTRNzZ07N6ihFUlavHixbDabfvvb39b4d8v5OB22qSu0kpycrG9/+9uaNGmSMjMzVV1drQMHDmjJkiWaP3++PB5PjTFbt27VU089pe9///tNru9sO3fu1Ouvv17jenh4uB566KGArgUAAIDmYR3QW5YBveTbsbfefp7318jSuYOsg/qGqLLQMGw22W+eLcVEy7v6U7/G+Hbvl/OJlxR2z40yYqKDXCEAAAAAAEDr5fL69FlOsd/9vab01I6j2phXql+N6KmkcEfwivua3WLRsJQ4DUuJ0/0Duyi3yqlPc0q04WSRPs8tUbnbG/A1txWUaVtBmf685aAuy0zU9C4pGpkWf14n2gAAAAAA0FTtMrhimqbWr1+vhQsXatWqVaqurj5zXWp8WEWSunTpolmzZmnGjBnKyMgIZvloRZYuXaqPPvqoucs4wzRNPfjgg9q5c2eDfXv16qUpU6Zo0KBBSk9Pl8PhUGlpqfbs2aP169dr5cqVcjqd9a41d+5cdenSRUOHDg3kywip5557TvPnz2+wX3JysqZOnarhw4erc+fOioqKUkVFhQ4fPqyNGzdq2bJlKigoqHeO+fPnq1u3brrrrruaXPe8efO0efPmWtuGDRumv//970pOTj5zLTIyUomJiRo+fLhmzpyp+++/v9Z6n376aU2cOFH9+vVrco3Sqb8nv/nNb+Tz1TwW+5577lGHDh0Csg4AAACan33WFDl3H5C89X8J73plocJ+cpcsqcn19mttDItF9lmTZcRGy7NkpV9jzCMn5Pzrv+S47yZZkhODXCEAAAAAAEDrtK2gTJWemt83NuTz3BLdvGqbfjOil4anxgWhsrqlRoTp6q6purprqjw+U9sLy/RpTrE2nCzW7uLAbozp9Jn64FiBPjhWoJRwu6Z0TtG0LinqHhsZ0HUAAAAAAKiPYZ6dymjj9u/fr4ULF+qdd95Rbm6upLpDKd98W2pri4mJ0dSpUzVr1iwNGTIkmKWjFSouLta0adMaDCvUZtWqVerYsWPAa3r++ef1xz/+sd4+mZmZevjhhzVx4sR6++Xn5+vPf/5zg6GOjIwMLVq0SPHx8Y0tt9lt3rxZN910U62nj5wWHh6uH/7wh7rpppvkcNS9E4/L5dJLL72kJ554ot7Aj81m0yuvvNKkf6e43W6NHz9eeXl5Ndq6du2qt956S7GxsfXOsWnTJt1yyy1yu9012qZPn64///nP513f2RYsWFDrqSqdO3fW0qVL631P24KsrCzNnTv3nGuPPfaY+vTp00wVAQAABJd7yUp5Vq5tsJ+RkaKwB+6UERYWgqpCz/P5FrlfWyz5/LwlExOlsHtvkqUTG2UAAAAAAAB8k2ma2ltSqbXZRVqbXaQdReWNGm9Iur1fR93Rr2OLOI2koNqlz3JKtCGnSJ/mlKjUVff31U3RLyFK0zunaFKnZMWF2YOyBgAAAAAAp7X54EpxcbGWLl2qhQsXaseOHZL8O0GlrjaLxaLRo0dr9uzZmjhxYpt/qBrn7xe/+IUWLlxY43pqaqqSk5PrPfUkGMGVo0ePavr06fWGJoYNG6Z//OMfSkhI8HvehQsX6uGHH5a3nl2Tr7/+ev3mN79pVL3NzePxaObMmdq7d2+dfVJSUvT888+rb9++fs+7Y8cO3XXXXfUGmnr37q2FCxfKZju/Q7GWLVumH//4x7W2/fvf/9aoUaP8mucPf/iDXnjhhRrX7Xa7PvzwQ6Wmpp5XfaeVlZVp8uTJtb4Xzz77rMaOHduk+VsDgisAAKC9MZ1OOX//tMyCogb7WocOkP3Wa2t8Nm8rvDv3yvWvNyVXzbB4rcIcctz1LVl7dw9uYQAAAAAAAK3clvxSzf18r/KqXI0aNzQ5Vr8Z2UspES3nORCvaWpXUbk+PVms9TnF2llYrkA/5GMzDI3JSNC0Lim6JD1eNoslwCsAAAAAACC1+U+bY8aM0WOPPabt27fLNE2ZpinDMM78SDpzvb627t2768EHH9Tq1av1/PPPa9q0aYRWUKd169bVGlqRpIcffljR0dEhrkj6/e9/X29opV+/fnr22WcbFVqRpFmzZumxxx6rt89bb72lXbt2NWre5vbqq6/WG1qJjo7Wiy++2KjQiiQNGDBAL774oqKiourss2fPHr322muNmvdsdZ2CM2LECL9DK5J09913KyIiosZ1t9utxYsXn3d9p/3tb3+rNbQyYcKEdhFaAQAAaI+MsDA5br9Osjcc0vZu2iHv6k9DUFXzsPbvpbD7b5Wiav43d62cLrmeelWeTduDWxgAAAAAAEArNzg5Vq9MGKRL0uMbNW5TfqluWrlVG042vOlKqFgNQxckxujO/p30r/EDtfzK4frZ4G4akBi4Zw48pqnVJwr1sw1ZunLZRv1560FlFVeoje+DCwAAAAAIsTYfXPF4/ntkal1hlbraYmNjdeONN+rNN9/U0qVLdddddzX5hAG0fVVVVXrkkUdqbRs3bpymTJkS4oqk7du3a+XKlXW2R0ZG6m9/+9t5B2pmz56ta6+9ts52n8+nv//97+c1d3NwOp165pln6u3z6KOPqlevXuc1f58+ffT//t//q7fPM888U2/QqC4+n0+bN2+ute2qq65q1Fzx8fG67LLLam3buHFjo2s72+7du2sN54SHh+uXv/xlk+YGAABAy2bplCH7dVf61de9+H159x0KbkHNyNK1o8J+dIeMxDj/Bni9cr/0tjwffxbcwgAAAAAAAFq5+DC7/jS6r344sIusjTjRt9jl0Y/W7dY/vjosj88XxArPT3yYXdf0SNe/xg/UG1cM1q19OgT0hJgip0dv7DupW1Zt000rt+nVPSdUUN24k2sAAAAAAKhNmw+unGYYRp1hlbMDK1arVePGjdPf/vY3rVmzRo888ogGDRrUnKWjlfnb3/6mY8eO1bgeGRlZZ6Al2J5//vl62++77z516dKlSWv87Gc/U3x8fJ3tH330kfbv39+kNUJl/vz5tZ4EctqYMWM0bdq0Jq0xY8YMXXTRRXW25+fn13lqT3327NmjioqKWtvGjRvX6Pkuv/zyWq9v2bKl0XOd7Te/+Y28Xm+N63fddZc6duzYpLkBAADQ8tkuGizrmOENd/SZcr34lsyS0uAX1UwsackK+/EdMjL93CjDlNzz35P73VXsegkAAAAAAFAPwzB0Y+9MPTtugDIiwxo1dt6eE7r34x06Wdn4zQZDpWtshL57QWctnjpUfx/TT1M6JSvMGrjHgPaVVurvXx3WVcs26sfrdun1vdnaVVQuj497UgAAAACAxms3wZX6wiqmaapXr176xS9+oY8//lhPP/20Jk+eLIcjcLtSoH346quvNG/evFrb7r//fnXo0CHEFUl5eXl6//3362xPTk7Wrbfe2uR14uLidNddd9XZbppmrSdstESvvvpqve0PPvhgQNb5yU9+0qQ6arNjx45aryckJCgtLa3R8/Xt27fW60VFRbUGtPyxaNGiWk9s6dSpU71/hwAAANC22GdPkdHVj9ByWYVcL7wp86wTVdsaIy5WYT/4jiw9/d9QwPP+GrlfWyyzlkA4AAAAAAAA/uuCxBjNmzBI4zITGzXuq8Jy3bxyqz45URikygLDahi6KC1evx7ZS8umD9PDw3poSHJMwOb3mtL6k8X6y7ZDuu3DrzRhyef67ic79PSOI9pwskjl7rZ73w4AAAAAEDjtJrhSW1glPj5eN998sxYuXKglS5botttuU1JSUjNXitbK4/Fo7ty5tZ4i0bdv34CEQ87H0qVLa63ptBtuuEFhYY3bXaYu119/vSIjI+tsX7ZsmTwt/GGzXbt2ad++fXW2X3TRRerfv39A1ho0aJCGD697l+k9e/Zo9+7djZqzrpNiunfv3qh5zh5n1HF0dmFh42/QlpeX6//+7/9qbXv44YcD9ncRAAAALZ9hsynsO3OkmKgG+/oOHZN74YoQVNV8jMgIOe67SZYL+/k9xvvZFrmef0OmyxXEygAAAAAAAFq/WIdNv7+4t35yYVfZLbV//1mbUrdXP92Qpb9sPSS3zxfECgMj2m7T1V1T9fTYC7Rg8hDd1a+jMht52kxDqr0+bcwr1Yu7j+tH63Zr4pIv9O0Ptur3mw5o2eE8HS+v5qRgAAAAAEAN7Sa4cjqsYrVaNXHiRD355JNas2aNHn74YfXr5/9DIUBdnn/++VpDBhaLRY8++qhsNlszVCW9++67dbYZhqHZs2cHbK2YmBhdccUVdbYXFhZq/fr1AVsvGN5555162wP5fknSrFmz6m2v78+vNqWlpbVej42NbdQ8pzkcDkVERDRqrfr8/e9/V15eXo3r48eP1/jx4xs9HwAAAFo3IyFOjtuulfx4WMC75gt5Pt8agqqaj2G3y/GdObKOqTvg/k2+HXvkenKezIrKIFYGAAAAAADQ+hmGoTk9M/T8uAvUMSq8UWNf35etu1Zv1/Hy6iBVF3gdosN1Z/9Omj9liJ6+bICu6pqiSJs14OuYkvaVVmrhwRz9+st9mr1is6Yv26hffJql/+w9oR2FZfK0gtAPAAAAACC42kVwxTRN9e/fXw8//LDWrFmjJ598UhMnTmy2IAHanoMHD+qf//xnrW033HCDBg0aFOKKTiksLNT27dvrbB88eLAyMzMDuub06dPrbf/kk08Cul6g1Vefw+HQxIkTA7repEmTZLfbz6ue2tQVJomKangX67rUNbaxwZU9e/bo1VdfrXE9LCxMDz/88HnVBgAAgNbP2qubbFfXHYA/m/uNd+Q7lh3kipqXYbHIPme6bNP8D3b7Dh2T86//kq+wOHiFAQAAAAAAtBF9E6L10oSBuqJjUqPG7Sqq0M2rtmnVsYIgVRYcFsPQkJRYzR3WU+9NH6Zfj+ipkalx8v/cmcYrqHbro+OF+uu2w7r9o+26fMkXuu/jHXpq+xGtyy5SqcsTxNUBAAAAAC1Rm09ufOc739GsWbPUu3fv5i4FbZRpmnrkkUfkdDprtKWmpuqBBx5ohqpO2bBhQ71H8I4ZMybga44cOVIOh0Mul6vW9pZ84kpeXp727t1bZ/vgwYMVHR0d0DVjY2M1aNAgbdy4sdb2PXv2KD8/X8nJyQFdtzk8+uij8nhq3oC888471alTp2aoCAAAAC2FbfwomYePy7t5R/0d3R65XnhDYT+5W0ZUZGiKawaGYcg+ZayM2Gi533hXqudz3WlmTr6cf3lBYffdJEtmWgiqBAAAAAAAaL2i7TY9OrKXRqTG6U9bDsrpa/j+iyRVeLz65Wd79KOqLrqhV2A3iQyFcJtVUzqnaErnFOVUOvXekXwtO5yrw0E+Scbp9WlTfqk25f93c8TusREalBSjC5NiNSgpRh2iwmQYwYzTAAAAAACaU5s/ceXnP/85oRUE1ZtvvqnPP/+81raHH3444EGHxvjss8/qbb/44osDvmZERIQGDx5cZ/v+/fuVn58f8HUDoa4/x9NGjRoVlHVHjx5dZ5tpmg3WdbbY2Nhar1dUVDS6robG1rVWbd55551aX0eHDh109913n3dtAAAAaBsMw5D9xqtlpKc02NcsKJbr5QUyfb4QVNa8bKOHyXHH9ZLdz31HSsrk/Nu/5N21L7iFAQAAAAAAtAGGYWhGtzT96/KB6hoT4fe4GLtVYzMTg1hZaKRFhum2vh30xqTBemH8Bbqme5pi7daQrX+gtEqLDubq11/u0zUrNmva0o36+YYsvbrnhHYXlde7SScAAAAAoPVp88EVIJhycnL0xz/+sda2cePGacqUKSGu6Fw7dtS9W7HVatWAAQOCsu6gQYPqba+vrua0ffv2etsbel3na+DAgfW2N+b9qitMUlpaWuv1hrhcLlVVVTVqrW8qLy/X448/Xmvbww8/rPDw8POqDQAAAG2LERZ2KqQR5miwr2/nPnmWfxyCqpqfdVBfOb53ixTh5383VznleuZVeT75jC/3AQAAAAAA/NAzLkr/vnygpndpeFMVSZo7rIcyo9rOd5yGYeiCxBj9bEh3LZ0+XP97UW+NSU+QNcSHnxQ63Vp9olB//+qwbv3wK1313ib9ftMBrc0uUrXXG9piAAAAAAABR3AFaIJHH31UZWVlNa5HRkbqkUceaYaK/svj8WjPnj11tnfv3l0REf7vGtMYDQVidu3aFZR1m2rnzp31tvfv3z8o615wwQX1tjfm/UpKSqr1+sGDBxtV09nj6nrYLTHRv12E/vGPfygvL6/G9bFjx2rChAnnVRcAAADaJktashw3z/Krr2f5x/LuqPszT1ti7d5ZYT+6XUa8n6ce+ky5335P7jeXyuRLfQAAAAAAgAZF2Kx6ZHhPPTK8h8KtdT9Kc12PdI3rUPt3sm2Bw2rRhI5J+tMlffXOtGH6yeBumtAhSSnh9pDXklfl0sKDOXpw/W5NfudL/WT9bi0+mKOCalfIawEAAAAANJ2tuQsAWqsVK1bogw8+qLXt/vvvV4cOHUJc0bkOHTokl6vuGzbdu3cP2toNzZ2VlRW0tZuivqBPfHy830GNxkpKSlJcXJxKSkpqbW/M+1VXaKiwsFB5eXlKSfFvl6DT6npP4uPj1bFjxwbH79u3T/Pmzatx3eFw6OGHH25ULQAAAGgfrIP6yXbFGHk+WNtgX9d/lij8kR/KcIT+i/NQs2SkyvHjO+T658syc/L9GuNd96XM3Hw5br9ORlRkkCsEAAAAAABo/aZ3SdWAhBg9/Nke7SutPKetT3yUvj+wSzNVFnpJ4Q7N6ZGuOT3SZZqmsiud2lZQduZnX0mlQnXeb7XXpzXZRVqTXSRJ6p8QpTEZibo0I0G94iJlGCE+HgYAAAAA0GicuAKch9LSUj366KO1tvXt21e33npriCuq6ejRo/W2d+7cOWhrd+lS/826hmprDhUVFSosLKyzvaHX1FT1/Xnk5+ersrKyzvaz9erVS5GRtT+Q9sknnzS6rtWrV9d6/cILL/Rr/K9//Wt5PJ4a1++4446gv6cAAABovWzTL5elT/2BeCMxTmF339guQiunWRLiFPaj22Xp2nCI/DTf3kNy/uk5+XJqnoIIAAAAAACAmrrGRuiFyy/QrG5pZ65F2qz67UW95KjnNJa2zDAMZUaFa0rnFP1sSHe9MvFCrbx6hP42pp/u6NdRI1LiFBHC92ZnUYWe3XlUN6/aphnvbdIfNh/QhpNFcnp9IasBAAAAANA47fMTNdBEjz/+uPLyaj70Y7FY9Oijj8pma/7DjI4dO1Zvuz+nZZyviIgIJSXVfTxyQ7U1h+Z8v/yZ//jx437NY7VaNXjw4Frbli1b1qiaysvL6wyuDBs2rMHxS5cu1eeff17jeocOHXTvvfc2qhYAAAC0L4bFIset18hIiKu13dK3h8J+eo8snTNDXFnzM6Ii5bj/Flku6O33GDO/SM4/Py/vrn1BrAwAAAAAAKDtCLda9Yuh3fXoyF6KtFn1y6Hd1Sk6otHzuLw+vb3/pAqqXUGosnlF2226OC1ed/fvpCcv66+VV4/US5cP1IMXdtXEjklKjXCEpI6cKpfmH8jRj9bt1uR3vtDPN2TpnUO5Kqx2h2R9AAAAAIB/mv/peqCV+eyzzzR//vxa22644QYNGjQoxBXV7sSJE/W2JycnB3X9pKQkFRQU1NpWVFSkqqoqRUQ0/sZesDT3+9XQ/CdOnFCvXr38mmvWrFlav359jetr167Vli1b6gy2fNOLL76o8vLyGtetVqtmzJhR79iKigo9/vjjtbY99NBDCg8P96sGAAAAtF9GdJQcd1wn51//JXm8Z67bJl0q27TxMiztdy8Ow+GQ447r5X57mbzrNvo3qMop19Ovyj5rsqxjL5JhGMEtEgAAAAAAoA2Y1ClZI1LjlBB2fqf+fp5boj9uOaj/23JQQ1JiNbFDksZ3SFJieNs7RdhmMdQ3IVp9E6J1Xc8MSVJOpVNbC8q07eufvcUVCuaZKFVen1afKNTqE4UyJA1IjNalGQkak5GgHrGR3BMDAAAAgGZEcAVoBKfTqf/5n/+RaZo12lJTU/XAAw80Q1W1Kyoqqrc9JSUlqOunpqZqz549dbYXFRW1qOBKQ+9XsIMrDf15NFTf2aZMmaLf/e53KiwsrNH2yCOP6PXXX1dkZGS9c+zcuVMvvPBCrW2XX3650tPT6x3/j3/8Qzk5OTWujxkzRldccUW9YwEAAIDTLJ07yD5nutz/WSKFh8lx0yxZB/Vt7rJaBMNqlf26K2VJT5F7wQqpls+pNZim3AuWy3cyT/Y502RYrcEvFAAAAAAAoJU739CKJK08li9JMiVtyivVprxS/d+WgxqWEqcJHZM0rkNik+Zv6dIiwzQpMkyTOp36vr3C7dWOwlMhlq0FZdpeWK7KszatCSRT0vbCcm0vLNdTO44qIzJMY74OsQxNjpXD2n43xgEAAACA5kBwBWiEJ554QocPH6617eGHH1Z0dHSIK6pbcXFxve0xMTFBXb+h+YuLi5WZmRnUGhqjofcrNjY2qOv78375y+Fw6LbbbtOf//znGm1ZWVn6/ve/rz/96U+Kj4+vdfz27dv13e9+V1VVVTXaLBaL7rzzznrX379/v+bNm1fjut1u19y5c/17EQAAAMDXbKOGyiwrl3Vwf1lSgxsob20Mw5Bt7MUyUpPl+vdbUpXTr3He9Rtl5hbIccd1MqLqD7UDAAAAAADg/Di9Pn1youYGhT5JX+SV6Iu8Ev1xywENS4nTxI5JGpeZqLg2HGKRpCi7VSPT4jUyLV6S5DVN7S+pPHMiyxe5JSp0uoOydnalU2/tP6m39p9UpM2ii9LidWlGgkanJ7Tp8BAAAAAAtBQtOriyaNGiBvvMnDmzyXO0JA29HjSfnTt36sUXX6y1bdy4cZoyZUqIK6pfSUlJve3BDtk0NH9D9YVaS3+/GhNckaQ77rhDK1as0I4dO2q0rV27VldffbVuuukmTZgwQZmZmXI6nTp06JCWLFmiN998U2537TcDb7vtNg0ePLjetR999NFax99+++3q1q1bo15HS7d58+YmjT927FiAKgEAAGjb7JMua+4SWjRrv54Ke+BOuZ79j8y8micv1sa375Cc//ecHHffIEtGapArBAAAAAAAaH8+yylWRQOniXhN6fPcEn2eW6LHNx/UiNRYTeiYrLGZCYpztP0whdUw1Ds+Sr3jo3Rtj3T5TFO7isq1JrtIa7OLtLekMijrVnp8+uh4oT46fupeWpfocPVPjNaAxBgNSIhWr/hI2S2cyAIAAAAAgdSigyu/+MUvZBhGvX0aCnr4M0dLQnClZfJ6vZo7d648Hk+NtsjISD3yyCPNUFX9Kivrv4ETGRncXXUbmr+h+kKtpb9ftZ1+Uh+bzabHH39cc+bMqXVsTk6O/vSnP+lPf/qT33P27t1bP/rRj+rt895772nDhg01rmdkZOi+++7ze63W4lvf+laTxkdGRqpnz54BqgYAAADtmSUt5VR45cW35Ntz0K8xZkGRnH95QY7brpW1f68gVwgAAAAAANC+rDpW0Kj+XtPUpzkl+jSnRL/fZGhkapyu6JSkyzISFeNo0Y/3BIzFME6FRxJjdO+AzjpZ6dTar0MsX+aVyO0zg7Lu4fJqHS6v1ntH8iVJdsupQM2AhOhTgZaEaHWKDm9Vzx8BAAAAQEvTKj7ZmmbtHzwb84GwrjlaEj7gtlwvvvhirSdXSNL999+vDh06hLiihtUWsjmb3R7c3Vkamr+uEz2aS0Pvl80W3H9dBuP96tWrl5544gl973vfk9PpPN/SJEldunTR888/r7CwsDr7VFZW6vHHH6+17aGHHlJERESTagAAAABQPyMqUo77bpL77ffkXfelf4OqnXI985rsMyfJOu5i7k0AAAAAAAAEQLXXq0+y/TsZtzZe09SGnGJtyCmWzTigi9PiNaFjki7LTFC0vVU86hMQ6ZFhurZHuq7tka5Kj1ef5xRrTXaR1p0sVpEzeM8cuH2mdhSWa0dhubT/1LVYu1X9E6PVP+HUySz9E6KVGN72T8UBAAAAgEBpFZ9ma3toorFBlJb+4EVrCNa0V0eOHNETTzxRa1vfvn116623hrgi/zQUdLBarUFdv6GgR0NBkVBr6P0KdnAlWO/XpZdeqnnz5ulHP/qRsrOzz2uOUaNG6c9//rMSExPr7ffUU0/VusYll1yiyZMn+7WWaZr69NNP9fHHH2vr1q06evSoSktL5fV6FRUVpczMTPXr10+jR4/WhAkTgn4SDgAAANDaGFarHNdfKU9GqtwL3pP82YXSNOVeuEK+k3myz5kmI8iffwAAAAAAANq6T08Wq9LjC8hcHtPU2pNFWnuySHaLoYvT4jWxY5LGZLSvEEukzapxHZI0rkOSfOapYMnp01j2lVYGff1St/fMiTinZUSGacDXJ7L0T4xW3/gohduC+ywGAAAAALRWreIT7DdDHecTQmnJwZCWHqpp7x555BFVV1fXuG6xWPToo48GPdBwvpr7BJGGgjEtLbji9XrrbQ920Keh+ZtyQs3gwYP17rvv6qmnntJrr72mykr/btp17NhR3/ve9zRr1qwG/z118OBBvfjiizWu2+12zZ0716/1Fi9erCeffFJHjhyptb2kpEQlJSXatWuXFixYoOjoaN1666266667OM0FAAAA+AbbZSNlpCbJ9eJbUlXNz7S18W7YJDO3QI47rpMRHRXkCgEAAAAAANquOIddl6TH67OcEnkC+LyK22dqTXaR1mQXKdxq0ZVdUnRjr0x1iA4P2BqtgcUwNDApRgOTYnTfBZ11oqJa675+XzbmlQb0Pa9PdqVT2ZVOrTxWIEmyGlKP2Ej1Tzx1KsuAhGh1jY2QleeCAAAAAKB1BFcCEewgHILz8fbbb2vDhg21tt1www0aNGhQiCvyX0PBFK/XG9QwRnMHQRqroXp8vsDshlOXht6vpgaNoqOj9dOf/lT33XefVq5cqfXr12vXrl06efKkKioqZLFYFBcXp06dOmngwIEaN26cRo0aJYvF4tf8jz32WK3hmttuu03du3evd2xxcbF+8pOfaM2aNY16TeXl5frHP/6hd999V3//+9/Vt2/fRo0PhNdff71J448dO6Z58+YFqBoAAAB8k+/ICXk+3ST7tdNk+Pnftm2JtW8PhT1wp1zPviYzr9CvMb79h+X803Ny3H2jLBmpQa4QAAAAAACgbRqSEqshKbEqdXn0yYlCrTxWoM9zS+QNYKCi2uvT2wdytOBAji7vmKSbemeqX0J0wOZvTTKjwjWnZ4bm9MxQhdurz3KLtTa7SOuyi1TsCt2mml5T2lNSqT0llVp0MFeSFGmzqG/Cf09l6RcfrfRIB88xAQAAAGh3WkVwBWgO+fn5+sMf/lBrW2pqqh544IEQV9Q4dru93vZgB1caOlGlofpCraF6gn1CTKjer+joaM2cOVMzZ84MyHyS9P7772vt2rU1rqenp+u73/1uvWPz8vJ088036+DBg+e9/uHDh3XDDTfoueee0/Dhw897nvMxZMiQJo2PjIwMUCUAAAD4Js+GTXK/tVTyeGXExcg+eWxzl9QsLGnJCnvwLrlefEu+rAN+jTELiuX88/Ny3HatrAN6B7lCAAAAAACAtivWYdOVXVN1ZddUlbjc+vhEkVYezdeXeSXyBijD4pO08liBVh4r0IiUON3UO1MXpcW122BElN2qyzsk6fIOSfKapnYUlmtNdqHWZhfpQGlVyOup9Pi0Ka9Um/JKz1yLddjUNz5Kfc766RgdLks7/TMDAAAA0D606OBKZmZmi5gD7dOjjz6qkpKSWtsefvhhRUe37J1KGjqhw+VyyeFwBG391hZcaej9qu00kUBqbe/XaVVVVfrd735Xa9vPf/7zeoMZLpdLd999d5NCK6dVVlbqnnvu0YIFC9SlS5cmzwcAAIDWy3R75J7/nrzrN5655ln2kSydMmXt36sZK2s+RmSEHPd+W+4Fy+Vd84V/g5wuuZ59TbYZk2QbP6rdPugAAAAAAAAQKHEOu67umqqru6aq2OnW6hOFWnWsQF/mlsgXoDW+yCvRF3klem7cBRqUFBOgWVsvq2FoUFKMBiXF6HsXdNHx8mqtPVmktdlF2pRXKk8AT8BpjFKXR5/nlujz3P8+kxJps6p3fKT6xEepb3y0esdHqmtMpGwW7ssBAAAAaBtadHDlww8/bBFzoP1ZtWqVli9fXmvbuHHjNGXKlBBX1HgNneRQWVkZ1PBNRUVFve0t7aQJf96vYGro/YqIiAjq+ufr6aef1okTJ2pcHzVqlKZNm1bv2CeeeEI7d+6stc1ut+vaa6/V1VdfrW7duik8PFzHjx/XBx98oFdeeUX5+fk1xpSXl+uhhx7SK6+8IovFcn4vCAAAAK2ar6hErn+9KfPw8XMbTMk1b77CfnqPLEkJzVNcMzOsVjnmTJcnPVXu+csknx9fypuSZ9H7MrNzZb/+ShkNBP4BAAAAAADgn/gwu2Z2S9PMbmkqrD4dYsnXprzSJodY+iVEaWBiy96Is7l0iA7X9T0zdH3PDFW4vdpdXK6dheXaXliunUXlyq1yNVttlR6vtuSXaUt+2ZlrYRZDPeO+PpUl4dQ/e8RGymHl+3AAAAAArQ9PHADfUF5erl//+te1tkVGRuqRRx4JcUXnJy4urt72hoISTdXQ/A3VF2ot/f2Kj48P6vrn4/Dhw/rXv/5V47rdbtf//M//1Dv2q6++0gsvvFBrW1pamv75z3/qggsuOOd6z5491bNnT82ZM0c/+MEPtHHjxhpjN27cqJdfflm33nprI14JAAAA2gLvngNyvfi2VFFH6LyyWq7n31DYj++Q4WiZJxqGgu3SETJSk+R68U2pstqvMd7PtsjML5Tj9utlxEQFuUIAAAAAAID2JTHcrtnd0zS7e5oKql1afbxQK48XaHNeqc7nPJCbemdyeq4fouxWDUuJ07CU/z4rkFfl0s7Ccu0oKteOwjLtLKpQpcfbbDU6feapWorKpYOnrlkNQ91jI74+mSVKfRKi1SsuUhE2a7PVCQAAAAD+ILgCfMMf//hH5eTk1Np2//33q0OHDiGu6Pw0FMQoLS0N6voNzd/agislJSX1tjdVWVlZve0t7f2SpMcee0wuV80dZ2655Rb16NGj3rHPPfecvN6aN/giIiL09NNPq3///nWOTU5O1lNPPaU5c+bo8OHDNdpfeOEFffvb35aN3aABAADaDdPjkfu1xXWHVk73O35S7jfflf3bM9v1l/fWPt0V9sBdcj37mszcAr/G+PYfkfNPz8lx9w2yZKYFuUIAAAAAAID2KSncoWt6pOuaHunKr3Lpo+MFWnm8QFvzy/wKsXSICtO4zKSg19lWpUQ4NLZDosZ2SJQk+UxTh8uqtOPrE1l2FJZrb0mlvOb5RIoCw2ua2ltSqb0llXr3cJ4kyZDUJeZUmOXsnxgH35kDAAAAaDn4hAKc5csvv9Qbb7xRa1vfvn1b1SkOiYmJ9bbn5eUFdf2G5k9ISAjq+o3V0PuVn58f1PVzc3PrbW9p79fKlSv1ySef1Lielpam733ve/WOzcnJ0apVq2ptu/POO+sNrZwWFxenX/3qV/rOd75T6/wrV67UlClTGpwHAAAAbYNhs8lx2xw5//aiVEtA+mzez7fK0rWjbGNGhKi6lsmSmqSwB+6U699vy7d7v19jzMJiOf/yghy3XiPrBX2CXCEAAAAAAED7lhzh0JyeGZrTM0O5VU59dLxQK47ma0dheZ1jbuyVKZul/W7YEmgWw1C32Eh1i43UlV1TJUnVXq/2FldqR2G5dhSVaWdhuY5VOJu1TlPSobIqHSqr0oqj/322oWNUmEamxuvi9HiNSI1TJKeyAAAAAGhGBFeAr3k8Hs2dO1dmLTtjWCwWPfroo63qBIeMjIx624MdxKhv/oSEBEVGRgZ1/cZqye+XpBZ10k91dbX+93//t9a2n//854qKiqp3/OLFi+XxeGpcj46OrjWIUpfRo0dr+PDh+vLLL2u0zZ8/n+AKAABAO2Pp2lH2a6fK/ca7DfZ1z39PRlqKrL26Br+wFsyIjJDjnhvlXvS+vB9/5t8gp0uu5/4j29VXyHb56HZ9cg0AAAAAAECopEaE6fqeGbq+Z4a+KijTK3tO6OMTheecwhLvsOnKLinnNX9elUtJ4XZZuNfToHCrVQOTYjQwKUbSqecMip1u7Swq187Ccm3/+nSWElfN78RD7ViFU8cO5mjBwRzZDEODk2N0cVq8RqcnqHtsBPf2AAAAAIRU63kKHwiyyspKHTx4sNa2SZMmKTExUceOHQvIWk5n/bttnDx5st72+Ph4RUdH19unY8eO9bYfP3683vamqKqqUkFBQZ3tDdXWHJrz/ZLU4N+tlhRcefbZZ2t9P0aOHKnp06c3OH7jxo21Xh83blyDoZdvuvLKK2sNrmzevFmmaXKjDQAAoJ2xjh4m36Fj8n62pf6OXp9cz74mx3dvlrVbp5DU1lIZVqsc10yVJz1F7reWST5fw4NMybP4A5kn82S/7koZdm4vAQAAAAAAhMrApBg9PqqPjpRV6dW9J7TscJ5cPlNzeqYr/DxO1PCZpn6wdqck6abemZrUKVl2iyXQZbdp8WF2jU5P0Oj0BEmSaZo6UeHU9q/DLDuLypVVVC6nr+ZGqqHiMU19mVeqL/NK9eT2I0qNcGhU2qnTWEamximae3wAAAAAgoxPHYAfli9fruXLl4dsvW9/+9v1tj/00EO67bbb6u3TqVP9D18dPny4sWX57ciRI/W2t8TgSnR0tBISElRUVFRrezDfL0k6evRonW1JSUkt5oSao0eP6vnnn69x3Waz6ZFHHvFrji1bttR6fdy4cY2uZ/z48frVr35V43pZWZn27dunXr16NXpOAAAAtF6GYcg+Z7p8x3NkHsuuv7PTJddTryjse7fI0qXlBMWbi+2S4TJSkuT61xtSZbVfY7yfbZEvO1eO78yRJSkhyBUCAAAAAADgbJ1jIvTQ0B66u38nvbX/pK7tnn5e86w/WawDpVWSpN98uV9P7Tiqb/XM0MxuqYQZzpNhGOoQHa4O0eGa3ClZkuTxmTpcVqWs4grtLi5XVnGF9hRXqNLjx0YyQZBb5dLiQ7lafChXVuNUIGpUWoJGpcerd1wkm0QCAAAACDi2SADaqK5du8rhcNTZfuDAgaCtvX///nrb+/TpE7S1m6J37951thUVFamwsDAo6xYUFKi4uLjO9pb0fj322GO1nhh08803+xUSOXbsWJ2v9XxeZ3p6uuLi4mpt27FjR6PnAwAAQOtnOOxy3HGdFBnRcOdqp5z/fFm+ow2EXNoJa+9uCnvwLhlpyX6PMY+ckPMPz8j7VVYQKwMAAAAAAEBdksIdundAZ8WH2c9r/Ct7jp/ze16VS098dVhXL9ukf3x1WHlVrkCU2e7ZLIZ6xEVqWpcUPXBhNz0z9gKtunqk3po0WI+O7KWbe2dqZGqcYh2hDwt5TWlLfpme2nFEt6zapunLNuo3X+7TB0fzVeJyh7weAAAAAG0TwRWgjbLb7fUGCQ4cOKDqav920W2shgID/fv3D8q6TTVgwIB623fu3BmUdbdv315ve79+/YKybmN9+OGHWr16dY3rKSkpuv/++/2ao67wj2EY6tq163nV1b1791qvFxQUnNd8AAAAaP3+P3v3HR7Veef9/3OmStPUJUQRvWMwNS4YcFzAuIFLnNjBcRIn3vTd7D7ZbNabZ7Nxkk322exvkzhxYqc4dpxqg3vBBQzY2PTehOkIoT5Nmnp+f0jIxgjQiBmNyvt1XXMB9zn3fb6ShSzO3J/ztRQVyPGpW6XOPBSwuUWRn/9eyePVGa+rN7CUFMn59XtlGT+q85OaWxR9+I+KPb1cZiKRueIAAAAAAACQVtvrA9pUG+jwWCie0O/3HteiFzfqgQ2V2lEfkGma3Vxh32YxDFV4c3XtkGJ9+aKh+ukVE/TKDTO0bME0/fCSMfr0uEG6fEC+inO6FkrqqrqWmJ4/VKP7392nBc+u171vbNMju45oZ31QSb4GAAAAAHRRn+/pGQwG5fF4sl0GkBWTJk06a4gkkUho+/btmjFjRtqvu3Xr1nMe763Bla1bt2r27Nlpv+62bdvOefx8dXWHSCSi73//+x0e+8Y3vtHp77NNTU0djrtcrnN2CDqXs3Vc8fv9XVoPAAAAfYN1/CjZrv+o4s+9fv6TQ82K/OxROb/6aVkGlGS+uB7OyM2R4/OfUOzp5UqsWNvpefHX1ih58Igc99wmI8+XwQoBAAAAAACQDo/vPX7ec+KmqWcP1ujZgzUqzXVo3sBCzRtUqClFPtksnXlyDFJhGIbK3U6Vu52aN6iofby2Oao9jaHTXlXhSMbrSUraVh/UtvqgHt55VPkOmy4py9elA/L1kbJ8FXSx0w8AAACA/qfPB1dmz56tq666SosWLdLs2bNlGPyjGf3HrFmz9Oc///msx9euXZv24EpLS4s2b9581uMjRoxQSUnP3Ag2a9ascx5fu3atvvjFL6b9um+//fY5j3/kIx9J+zVT9fDDD+vIkSNnjM+cOVM33XRTp9cJBDp+Wo/L5epybW63u8Pxs4VkAAAA0H/YrrlCZqNfidXrz39yMNwWXrlHltLizBfXwxlWqxy3LFB8QIlif3leSiY7NS+5/7BafviQHJ+6VdaxIzNcJQAAAAAAALrqcKBZK47VpzTnZHNUf9l/Qn/Zf0J5DpvmDCzQvIFFmlmaJ6fVkqFKIUnFuQ4V5zp0eXlB+1hTNKa9jWHtbgi2h1kOB1syWkdjNK6XjtTqpSO1MiSNL3DrkrJ8XTagQBMKPbKyLwsAAADAWfT54EpLS4teeOEFvfDCCyopKdHNN9+sRYsWaeRINk+g77v00ktlGMZZ2/WuXr1aX/7yl9N6zXfeeUfRaPSsxy+//PK0Xi+dSktLNWrUKFVWVnZ4fNOmTWnv4uT3+7Vly5azHh8zZoyKi7O7ae7IkSP61a9+dca4zWbTt7/97ZTWOtvX4oWECs82lzbVAAAAMAxD9tsWSvGEEms3nX+CP6jITx+V82uflqW4MPMF9gK2y6bLKClS9Dd/lkLNnZsUDCv688dkWzBPtvlzZFjYtAAAAAAAANDTPLGvShfyjmpTNN7eicVls+iyAQWaN7BQlw0okNtuTVudOLs8h10zS/M0szSvfSwUS2hvY0jvnmzU2upG7WoIXdB/53MxJe1sCGlnQ0i/2X1MbptVFxd7NbXYp+kleRqT76YrDwAAAIB2fT64coppmjp58qQeeeQRPfLII5o0aZJuueUWXX/99fL5fNkuDz2Az+fTnj17uuVaS5Ys0bvvvnvW46+99poGDx58wdcpKirSxIkTtX379g6Pb968WcePH9fAgQMv+FqnPP/88+c8fsUVV6TtWpkwZ86cswZXotGoXn31VS1atCht13vllVcUi8XOWU+2ff/731ckcmaL4bvuuktjxoxJaS2v19vheCgU6lJt55qbl5fX4TgAAAD6F8Nikf3jN0qJhBLrtp5/QlNA0Z89KsdXPy1LYX7G6+sNrKOHyfn1zyn66z/LPF7duUmmFH9xhZIHjsix5BYZ3o47JQIAAAAAACA7Bric8jls8kfjF7xWOJ7Uq0fr9OrROtkthmaV5mneoCLNKS9QvtOehmrRWW67VVNLfJpa4tN9EytU3xLTOycbtfZEa5ClMQ3/vc8mFE9ozYlGrTnRKEly2ayaUuTVtBKfphb7NL7ALRsPuQEAAAD6rX7zrwHDMNo7T5imqW3btuk//uM/NHv2bH3ta1/TihUrlEwms10mkHY33HDDWY+ZpqmnnnoqbdcKBAJavnz5WY8XFhb26I4r0rk/X5LS+vmSpKVLl57z+I033pjW66Vq5cqVev31188YLykp0Ve/+tWU1ztbmCQcDp8zwHMuTU1NHY4TSgQAAMAphsUi+503yzptYqfON+ubFP3pozIb/RmurPewlBTK+fV7Zb10Wkrzkrv3q+VHDynx3uEMVQYAAAAAAICuuGfcID1z3TT905RhKnc507ZuLGlqzYlGfW/Dfl333Hp94c0d+nNllarDZz4sEZlXmGPXdRUl+s6s0Xrxhhn67ZUX6fMThuiiQk/GN42F4wm9Xd2oB7cf1r0rtuvqZ9bpq6t26ne7j2lrXUAx9mkBAAAA/Uq/Ca6YZmvjy1MBllNj0WhUr7zyir7whS9ozpw5+uEPf9htXTeA7nD99dfLaj17G94//vGPikajabnWn//8Z4XD4bMev+6662Sz9exGTxMnTtTIkSPPevydd97Rrl270nKtrVu3av369Wc9Pnr0aI0bNy4t1+qKaDSq733vex0e+6d/+id5PJ6U1ywsLOxw3DRNHThwIOX1JOm9995L6VoAAADonwyrVfYlt8gyuXM/Y5t1DYr87FGZTYEMV9Z7GA67HJ+4Sfa7Fkn2FP5t1xRQ9Ce/U+z1t9rvzwAAAAAAACD7cm1W3T6qXH+bP1XfnTVaY/PT2zU3KWljjV8/3nJQN724UZ9+fat+t/uYDgWa03oddI7FMDSh0KPPjh+sR668SC/dOEMPzBqt64eWqCgn851xmhNJvXOySb/YcVifawuyfGXVTv1m11FtrvUrmiDIAgAAAPRl/Sa4Iqm924ppmu0Blg92YamtrdXvfvc7LVq0SLfccosee+wxNTQ0ZLts4IKUlpbqmmuuOevxU1/3F6qpqUkPP/zwWY8bhqG77rrrgq/THc5X53//93+n5TrnWyfbn69HHnlEhw4dOmN8+vTpWrRoUZfWHDx4sPLz8zs81pXQYHV1tRobGzs8NnFi556mDQAAgP7DsFrluOc2WSaO6dT55sk6RR78vcxAMMOV9S62j1ws5z9+TkZpUecnJZOKL3tF0V//WWaYjQkAAAAAAAA9ic1i6NohxXr0oxfpZ1dM0EdK8zJynZ0NIf1ix2H9n7d2Z2R9pCbPYdc1Q4r17Rmj9NzC6fr9VZP1hYkVurjYK6uR+eu3JJJ692STfrnziO5buUNXP/OuvvTmDj2y64g21fgVIcgCAAAA9Cn9JrjywaCK9H6I5cPHTo3v3LlT3//+9zVnzhx96Utf0quvvqp4PJ7NDwHoss9+9rPnPP6LX/yiw4BCKn70ox+dNUAgSfPmzTtnJ5POWrJkicaOHXvW109/+tMLvsatt96qgoKCsx5ftWqVXnjhhQu6xtNPP621a9ee9XhhYaFuueWWC7rGhTh27Jh++ctfnjFutVr17W9/u8vrGoahyZMnd3hsxYoVKa/3xhtvdDjudrs1evTolNcDAABA32fYbHJ85mOyjOvcv0/MEzWt4ZXQ2btL9keWgWVy/tPnZZ2WWmA8uXW3Iv/1KyWPHM9QZQAAAAAAAOgqwzA0szRPP7ligh67arJuHVGm4gx04pg3KIUHoqBbWAxDY/PdumfcIP1y7iS9cuNM/eCSMbp5WKlKch3dUkMkaWp9jV8P7zyqv3uzNcjyhZU79PDOI1p/skktiUS31AEAAAAgM/p8cOWOO+6Qz+frMKgind6FpaNjsVhMr7/+ur7yla/oiiuu0Pe//33t3LkzOx8M0EWTJ0/WlVdeedbj4XBYf//3f69gsGtPEV66dKn+9re/nfW4xWLRl7/85S6tnQ05OTm67777znnOv/3bv6mysrJL6+/Zs0ff+c53znnOfffdJ6fT2aX10+EHP/iBWlpazhi/8847NW7cuAtae/r06R2Or1ixIuWvweeff77D8alTp8pi6fP/iwMAAEAXGXabHPd+XJYxwzt1vnn8ZGt4hU4hpzFynLJ/6jbZb18oWa2dnmfWNSjyP79WfM369vsxAAAAAAAA6FnG5Lv1jakj9OzC6Xpk3iTdNbpcg9zpeQ/7ykGFaVkHmeOx2/TRQUX61vSReva6aXri6in68qQKzSjxyWZ0QzsWSdGkqY21fj2y66i+tGqnrn5mne5buV0P7Tisd6sbFY4TZAEAAAB6kz6/q/c73/mOVq1apf/5n//RvHnzZLVa24MqZ+vC8uFjp8YaGhr02GOP6dZbb9VNN92k3/3ud6qrq8vyRwh0zre+9S05HGd/CsbOnTv1+c9/Xg0NDSmtu2zZMv3rv/7rOc+59dZbNWnSpJTWzbZPfvKTGjFixFmPB4NB3XPPPdq9O7UWxjt37tRnPvMZhUKhs54zcuRIffKTn0xp3XRatWqVli9ffsZ4UVGRvva1r13w+jfffLOsHWxqCwaD+s1vftPpddauXat33323w2O33nprl+sDAABA/2A47HJ87hOyjKzo1Pnm0ROK/OJxmc1nBrz7M8MwZLtilpz/8BkZhfmdnxhPKPbn5xT7/VMyI5GM1QcAAAAAAIALYzEMXVTk1VcnD9OT86fq8asn63PjB2tUnqtL65XlOjQu353mKpFJhmFoZJ5LS8YO0oNzJuqVG2fqvy4dq1uGl6nc1X0P5IwlTW2uDei3u4/pK6t36epn3tXdr23Vf28+oOVHalUd5j4jAAAA0JP1+eCKJDkcDl133XV66KGHtHLlSn3zm9/UuHHjOuy08uEQy4ePnRrfu3evfvjDH2ru3Ln6u7/7O7388suKxWJZ+xiB86moqNBXvvKVc56zYcMG3XLLLXrttdfOu15tba2+9a1v6Z//+Z+VOEc71rKyMv3jP/5jyvVmm91u13e/+90OAxan1NTU6I477tBvfvMbRaPRc64XjUb1yCOP6OMf/7hqa2vPep7VatV3v/td2Wy2Ltd+IaLRqB544IEOj/2f//N/5PV6L/ga5eXl+uhHP9rhsV//+tfasWPHedfw+/36v//3/3Z4rKSkRNdcc80F1QgAAID+wXA65LjvLlmGDe7U+eahY4otfTnDVfVOlopBcn7jPlkmjUlpXmLDNkX+38NKVp3MUGUAAAAAAABIF8MwNDrPrXsnDNEfrp6iJ+dP1VcuGqqLCj2dXmPuwML2vTmp2NMY0nMHT9Jlowdw262aM7BQ/zxthJYumKq/zb9Y/zpthBZUFKss9+wPVE23hNn6dfGX/Sd0/7v7dNOLG3Xzixv0b+/u1V8rq7SnMaQEHZ8BAACAHsMwzf77E/ru3bu1dOlSPf/88+0byT/4j+MPf2rOduzUuM/n0/XXX69FixZp8uTJmSwdvdySJUvO2ilCkl577TUNHty5jVOpME1T9957r1avXn3ec8eMGaMFCxZoypQpKisrk8PhUFNTkyorK7VmzRq9+uqramk595OGrVarfv/732vGjBnp+hDO+7n78pe/fN6ATioeeugh/c///M95zyspKdHChQs1Y8YMVVRUyOVyKRQK6fDhw1q3bp1eeOGFTnVo+vrXv6777rsvHaV3yS9/+Uv9+Mc/PmN86tSp+uMf/9ilG4gd2bJliz7+8Y8rmUyecaysrEwPPvigLrroog7n1tXV6Wtf+5rWrVvX4fF/+Zd/0T333JOWOjNtz549uv/++08be+CBBzR27NgsVQQAANA/mc0tijz4e5mHj5/zPGPwADm/dLcMd9eeJtkfmMmk4m+8rfizr0rJFG45Oeyy33GDbDOnZK44AAAAAAAAZExNc1RvHq/XiuP12lDjP2tg4OdzJmh6SV7K6393faWeO1SjXKtFVw4q0vVDSzStxCdLmt7DRnqYpqmqcEQbavzaVOvXxhq/qrLYCcVls2hSoVeTi1pfkwq9ctvP/gBTAAAAAJnTr4MrpyQSCa1evVpLly7V66+/3t454UJCLCNGjNDixYt14403qqysLJPloxfKVnBFkpqamrRkyRLt2bMnI+ufYhiGvvvd7+r2229P67rdHVwxTVPf/OY3tWzZsrSteTaLFy/WD37wg7SFQ1JVVVWlhQsXKhwOnzZutVr15JNPavz48Wm93g9/+EP95je/6fCY3W7XbbfdpptvvlnDhw+X0+nU8ePH9eqrr+qxxx5TTU1Nh/OmT5+uxx9/XBZL72goRnAFAACg5zBDYUV+9nuZx050eNyoGCjnF5fIcOV2c2W9U2L/IUV/+1fJH0xpnvWy6bLfukCG3Z6hygAAAAAAAJBp/mhcq6satOJ4ndaeaFSk7QEn+Q6bnr9+hmyW1N4Tb44ntPD59QrHT38w4gCXQ9dVlGhhRYkqvNy366mOh1raQywba/w6nsUgi0XSqDxXa5Cl2KcpRV4NcDmzVg8AAADQnxBc+RC/36/nn39eTz/9tDZv3ixJZ2wi7yiocrZjFotFl1xyiW699VZdffXVcji6ryUmeq5sBlek1o4V99xzj/bu3ZuR9S0Wi+6//37dddddaV+7u4MrUmu47Rvf+Iaee+65tK77QTfccIN+9KMfyWrN3pM9vvrVr+rll18+Y/yuu+7St7/97bRfLxqN6rbbbktbiMrj8Wjp0qWqqKhIy3rdgeAKAABAz2IGQ4r89FGZVSdPG7cMHyLH390lIzcnS5X1TmYgqOijTyq590BK84xBA+T4zMdkKSnMUGUAAAAAAADoLs3xhNZWN2rFsXoVOO36+ynDUl7jhUM1+s76ynOeM7nIq4UVJbp6cJG8DlsXq0V3qA5HtPEDQZajoZas1lOa62jvyDK5yKvRee6Uw1UAAAAAzo/gyjkcPHhQS5cu1bPPPqvjx49L6nyIpaNxj8ej6667TosWLdK0adMyWTp6uGwHVyQpFArpG9/4hl599dW0ruv1evXf//3fmjt3blrXPSUbwRWp9e/0z3/+c/30pz89owPThTAMQ1/96lf1xS9+MW1rdsVbb72lT3/602eMFxYW6qWXXlJeXuqtmjujurpaS5Ys0aFDhy5oHZfLpYcfflgzZsxIU2Xdg+AKAABAz2P6g4r89Hcyq2slSZaRQ+W4704ZOTx1ryvMZFLxl1Yq/vJKKZV/SuU45bjrZlmnTMhYbQAAAAAAAOgdvvzmTq2raerUuQ6LoTkDC3X90BLNKs0ngNALnGyOaFONvz3McjiY3SBLrtWiiYUeTS7yakqRT5OKPPLYCUMBAAAAF4rgSietXbtWS5cu1fLlyxUOhyWdPahyrmOnxisqKrR48WLdfPPNKi8vz2Tp6IF6QnDllGXLlulHP/qR6urqLnit+fPn61//9V9VVlaWhso6lq3gyimbN2/Wv//7v2vXrl0XvNb48eP17//+77r44osvvLALEIvFdNNNN+m9994749j3vvc93XbbbRm9fkNDg77+9a/rrbfe6tL8oUOH6ic/+YnGjRuX5soyj+AKAABAz2Q2+RX5ye9kFOTJ8blPyHDSPfVCJXZVKvr7p6RQOKV51nmXyH7T1TJsvDEMAAAAAADQH50IR7ToxY0pPRPllOIcuxZUlOj6oSUa4XOlvTZkRm1zVBtr/e1hloOB5qzWY0gamefSlCKvLiryakqRV+Uu5xkPPwYAAABwbgRXUtTc3KyXX35Zy5Yt0zvvvCPTNDvdhaWjY4ZhaNasWbrlllt07bXXKicnJ7MfAHqEnhRckaRgMKgnn3xSjz/+uA4fPpzSXLvdrmuuuUb33HOPpkyZkqEK35ft4IokJZNJLV++XI8++qg2bNiQ8vzp06fr7rvv1jXXXCOr1ZqBClPz8MMP6//9v/93xvjFF1+sP/3pT91ys8U0TS1dulQPPvigjh492qk5Ho9Hd999tz7/+c8rNzc3wxVmBsEVAACAnsts8ku5uTIc9myX0meYDU2K/u5vSh44ktI8y7DBsn/6dlkKMtMJEgAAAAAAAD3Xb3cf1UM7Uruf1JFx+W5dP7RE1w4pVr6Te369SV1LVJvaurFsqvXrPX92gyxSayhqcpFXk4t8mlLk1Zh8l2wWS7bLAgAAAHo0gisXoKqqSsuWLdPTTz+tgwcPSjp/UKWjY6fG3W631q9fn8GKgfPbvXu3Vq1apV27dqmyslK1tbUKhUKKxWJyuVzyer2qqKjQ6NGjNXPmTF1++eXyeDzZLjtrqqurtXLlSm3evFn79+/X8ePHFQwG1dLSopycHHk8Hg0cOFAjR47UxRdfrLlz52a0I02qqqurtWDBgvZOUqdYLBb99a9/1aRJk7q1nmQyqbVr12rFihXaunWrjhw5oqamJiWTSbndbpWXl2vChAm67LLLdPXVV8vl6t1PxSG4AgAAgP7GTCQUf+ZVxd94O7WJ7lw5ltwi64TRmSkMAAAAAAAAPY5pmrr9lc06EmxJ25o2w9Dl5fm6vqJUl5Xny07YoNdpisa0rS6orXUBba3za2d9UJFkdre/5VgtmlDo0ZQiryYXeTWp0Cufgy7SAAAAwAcRXEmTLVu26KmnntJLL72kpqYmSacHVT78ae4oxGIYhnbt2pX5YgEAPQLBFQAAAPRXiS27FH1imdQcSWmedfZM2W++RobTkZnCAAAAAAAA0GPEk6aeOXhSzx86qe31wbSvn++w6dohxbpxWKnG5LvTvj66RyyZ1J7GkLbWBrS1PqCtdQHVtcSyWpMhabgvV5OLvJpS5NPkIq8GuZ1n7BcDAAAA+hOCK2kWjUb1+uuva9myZVq9erXi8biks4dYTo0TXAGA/ofgCgAAAPqzZE29or/9i8yjJ1KaZ5QUyvHJxbIMH5KhygAAAAAAANDTHAo064VDNXrxcI2qm6NpX39cvls3DSvV/Ipieex0yujNTNPU8VBEW+oC7V1Z3vM3K9sb5Aqd9rYgi1eTi70am++m4w8AAAD6FYIrGVRfX69nnnlGy5Yt0+7du896nmEYBFcAoB8iuAIAANA3JXbsVXL/IdluvJon6J2HGYsp9tRLSqzZkNpEw5Dt2itkmz9Hho2NBAAAAAAAAP1F0jS1ocav5w+d1BvH6tWSSKZ1fafVoqsGFemmYaW6uNjL/b0+IhCNa1tbN5YtdQHtqA8qkuavnVQ5LYYmFHp0UVtXlouKPMpz2LNaEwAAAJBJBFe6ye7du/X000/r2WefVW1tbXtYRSK4AgD9FcEVAACAviexdbeiv/2LlEjKdvXlhFc6Kb5ui2J/fk6KxlKaZwwul2PJYlnKSzNUGQAAAAAAAHqqUCyh14/V6YVDNdpY60/7+neNLtdXJw9L+7rIvngyqX1NYW2pfb8rS01LavcmM2GYN1eTCj0a7nNpmDdXw725GuB2yso9ZgAAAPQBPJKymwwZMkQjRozQ4MGDVVtbm+1yAAAAAABAmiU27VD00SelZOuT+uKvrpFsNtkXXpnlyno+28wpsgwuV/Q3f5FZ3fn7JubRKkX+65ey33i1rHM/IsNiyWCVAAAAAAAA6EncdqtuHFaqG4eV6nioRS8crtELh2p0LBRJy/pzBhamZR30PDaLReMLPBpf4NHHR5fLNE1VhSNtIZbWriz7m8Lq7qdBHww062Cg+bQxp8VQhTdXQ9uCLMN8uRrmzdUQT66cVu6HAgAAoPcguJJBpmlqzZo1Wrp0qV577TVFIpHTjgEAAAAAgL4hvn6rYo8vlZKn/3s//tJKyW6T/ZorslRZ72EpL5Xznz6n2J+fU2L9ts5PjCcUW/qyEtv2yP7JRbIU5mesRgAAAAAAAPRMA905unf8EH123GBtrgvohUM1evVoncLxRJfWG+rJ0ZQib5qrRE9lGIYGunM00J2jBRUlkqRgLK7tdUFtrQ9oa21A2+sDak4ku722SNLUvqaw9jWFTxu3SBrodmqY19UeZjn18jrYEggAAICeh59SM2D//v1aunSpnnnmGdXU1EgiqAIAAAAAQF8Vf2ezYk88LZ3l3/7xZ1+Tke+TbeaUbq6s9zGcTtmX3CLLqGGKPfWSFI11em6y8qAi//kL2W+9TtZZU2QYRgYrBQAAAAAAQE9kGIamFvs0tdinf5wyTCuP1+u5QzVad7Ippe4ZNw4r5f5SP+ex23TJgHxdMiBfkhRPmqpsCrV3ZNlaF9DJ5mjW6ktKOhqK6GgootUnGk47VpRjPy3IMqytU0tJjoOvawAAAGQNwZU0aWxs1HPPPaelS5dq586dkk4Pq3zwh35CLAAAAAAA9A3xtzcq9qdndL53vWNPPC0jzyfrmOHdU1gvZhiGbJdNl2X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" ] }, "metadata": { "image/png": { "height": 1223, "width": 1623 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "ax.plot(t_plot, weibull_pp_surv_mean[0], c=\"C0\", label=\"Weibull, not metastized\")\n", "ax.plot(t_plot, weibull_pp_surv_mean[1], c=\"C1\", label=\"Weibull, metastized\")\n", "\n", "ax.plot(t_plot, log_logistic_pp_surv_mean[0], \"--\", c=\"C0\", label=\"Log-logistic, not metastized\")\n", "ax.plot(t_plot, log_logistic_pp_surv_mean[1], \"--\", c=\"C1\", label=\"Log-logistic, metastized\")\n", "\n", "\n", "ax.set(\n", " xlabel=\"Weeks since mastectomy\",\n", " ylabel=\"Survival probability\",\n", " title=\"Weibull and log-logistic\\nsurvival regression models\",\n", " xlim=(0, 230),\n", " ylim=(0, 1),\n", ")\n", "\n", "ax.legend()\n", "ax.yaxis.set_major_formatter(pct_formatter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This post has been a short introduction to implementing parametric survival regression models in PyMC with a fairly simple data set. The modular nature of probabilistic programming with PyMC should make it straightforward to generalize these techniques to more complex and interesting data set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Authors\n", "\n", "- Originally authored as a blog post by [Austin Rochford](https://austinrochford.com/posts/2017-10-02-bayes-param-survival.html) on October 2, 2017.\n", "- Updated by [George Ho](https://eigenfoo.xyz/) on July 18, 2018.\n", "- Updated by @fonnesbeck on September 11, 2024.\n", "- Updated by Osvaldo Martin on December 2025.\n", "- Updated by Osvaldo Martin on April 2026.\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Sat, 25 Apr 2026\n", "\n", "Python implementation: CPython\n", "Python version : 3.14.4\n", "IPython version : 9.12.0\n", "\n", "arviz : 1.1.0\n", "matplotlib : 3.10.8\n", "numpy : 2.4.4\n", "pymc : 5.28.0+58.gf58491a3\n", "pytensor : 2.38.0+133.g80cc113b5\n", "scipy : 1.17.1\n", "statsmodels: 0.14.6\n", "xarray : 2026.4.0\n", "\n", "Watermark: 2.6.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "arviz_1", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 4 }