From 36fedc232c5e063589665917318fb1719520981b Mon Sep 17 00:00:00 2001 From: karm-patel Date: Wed, 1 Jun 2022 11:54:21 +0530 Subject: [PATCH 1/2] Add notebooks of Dirichlet and MAP for categorical --- .gitignore | 3 +- _toc.yml | 2 + .../probability/Dirichlet_distribution.ipynb | 57971 ++++++++++++++++ .../Posterior-MAP_for_the_Categorical.ipynb | 965 + 4 files changed, 58940 insertions(+), 1 deletion(-) create mode 100644 notebooks/probability/Dirichlet_distribution.ipynb create mode 100644 notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb diff --git a/.gitignore b/.gitignore index 4be1e65..f118507 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,3 @@ _build -__pycache__ \ No newline at end of file +__pycache__ +*.ipynb_checkpoints \ No newline at end of file diff --git a/_toc.yml b/_toc.yml index daf8a5a..0567d21 100644 --- a/_toc.yml +++ b/_toc.yml @@ -14,6 +14,8 @@ parts: chapters: - file: notebooks/probability/mvn-introduction - file: notebooks/probability/mvn-marginal + - file: notebooks/probability/Dirichlet_distribution.ipynb + - file: notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb - caption: Statistics chapters: - file: notebooks/bayesian_ml/2021-03-23-bayesian-ml diff --git a/notebooks/probability/Dirichlet_distribution.ipynb b/notebooks/probability/Dirichlet_distribution.ipynb new file mode 100644 index 0000000..664ec7e --- /dev/null +++ b/notebooks/probability/Dirichlet_distribution.ipynb @@ -0,0 +1,57971 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "037955dc", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Dirichlet Distribution" + ] + }, + { + "cell_type": "markdown", + "id": "56d8e59d", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "### Why we need dirichlet disribution?\n", + "\n", + "\n", + "**Example1**: Assume that weather can be either cloudy or sunny. Now I want to compute the probabilities of today's weather is cloudy and sunny respectively.\n", + "\n", + "|Year | p(weather = cloudy)| p(weather = sunny)|\n", + "|-- | -- | -- |\n", + "|2016 | 0.3 | 0.7 |\n", + "|2017 | 0.2 | 0.8 |\n", + "|2018 | 0.3 | 0.7 |\n", + "|2019 | 0.2 | 0.8 |\n", + "|2020 | ? | ? |\n", + "\n", + "In 2020 I want to predict probability of weather to be a cloudy and sunny, which distribuion can I take over these probabilities?" + ] + }, + { + "cell_type": "markdown", + "id": "0da47a0b", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "We can use beta distribution. Here we have two variables
\n", + "$\\theta1 = p(weather = cloudy)$
\n", + "$\\theta2 = p(weather = sunny)$
\n", + "\n", + "But we can convert it into univariate Beta disribution since we know $\\theta1 + \\theta2 = 1$
\n", + "Assume, $\\theta = p(weather = cloudy)$\n", + "\n", + "Hence $1 - \\theta = p(weather = sunny)$\n", + "\n", + "$\\theta \\sim Beta(a,b)$" + ] + }, + { + "cell_type": "markdown", + "id": "138412ed", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Sampling from Beta" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "6deba7d2", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" + ] + } + ], + "source": [ + "try:\n", + " import tensorflow_probability.substrates.jax as tfp\n", + "except ModuleNotFoundError:\n", + " %pip install tensorflow-probability\n", + " import tensorflow_probability.substrates.jax as tfp\n", + "\n", + "import jax.numpy as jnp\n", + "import matplotlib.pyplot as plt\n", + "import jax\n", + "import seaborn as sns\n", + "import numpy as np\n", + "rng_key = jax.random.PRNGKey(0)\n", + "\n", + "try:\n", + " import plotly.figure_factory as ff\n", + "except ModuleNotFoundError:\n", + " %pip install plotly scikit-image \n", + " import plotly.figure_factory as ff\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f2381757", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "dist = tfp.distributions.Beta(concentration0= 6, concentration1 =2)\n", + "x = jnp.linspace(0,1,10000)\n", + "plt.figure()\n", + "plt.plot(x,dist.prob(x))\n", + "plt.xlabel(\"$\\theta$\")\n", + "plt.ylabel(\"$p(\\theta)$\");" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "49fe0407", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + }, + { + "data": { + "text/plain": [ + "DeviceArray([0.1230273 , 0.19692048, 0.58094096, 0.26306233, 0.13593626,\n", + " 0.05888733, 0.26878887, 0.3711468 , 0.38220716, 0.37653023], dtype=float32)" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dist.sample(sample_shape=10,seed = rng_key)" + ] + }, + { + "cell_type": "markdown", + "id": "b5708349", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "**Example2**: Now assume weather can be rainy also.\n", + "\n", + "|Year | p(weather = cloudy)| p(weather = sunny)| p(weather = rainy)|\n", + "|-- | -- | -- | -- |\n", + "|2016 | 0.3 | 0.6 | 0.1 |\n", + "|2017 | 0.2 | 0.6 | 0.2 |\n", + "|2018 | 0.3 | 0.5 | 0.2 |\n", + "|2019 | 0.2 | 0.7 | 0.1 |\n", + "|2020 | ? | ? | ? |\n", + "\n", + "Now which disrubution can we use?" + ] + }, + { + "cell_type": "markdown", + "id": "e156aeda", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "We can use dirichlet distribution. Here we have three variables,
\n", + "$\\theta1 = p(weather = cloudy)$
\n", + "$\\theta2 = p(weather = sunny)$
\n", + "$\\theta3 = p(weather = rainy)$
\n", + "$\\theta1 + \\theta2 + \\theta3 = 1$" + ] + }, + { + "cell_type": "markdown", + "id": "05824f1d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Dirichler distribution is multivariate extension of beta disribution.\n", + "\n", + "**Beta pdf**:$$\n", + "\\frac{x^{\\alpha-1}(1-x)^{\\beta-1}}{\\mathrm{~B}(\\alpha, \\beta)}\n", + "$$\n", + "where $\\mathrm{B}(\\alpha, \\beta)=\\frac{\\Gamma(\\alpha) \\Gamma(\\beta)}{\\Gamma(\\alpha+\\beta)}$ and $\\Gamma$ is the Gamma function.\n", + "\n", + "\n", + "**Dirichlet pdf**:$$\n", + "\\frac{1}{\\mathrm{~B}(\\boldsymbol{\\alpha})} \\prod_{i=1}^{K} x_{i}^{\\alpha_{i}-1}\n", + "$$\n", + "where $\\mathrm{B}(\\boldsymbol{\\alpha})=\\frac{\\prod_{i=1}^{K} \\Gamma\\left(\\alpha_{i}\\right)}{\\Gamma\\left(\\sum_{i=1}^{K} \\alpha_{i}\\right)}$\n", + "where $\\boldsymbol{\\alpha}=\\left(\\alpha_{1}, \\ldots, \\alpha_{K}\\right)$" + ] + }, + { + "cell_type": "markdown", + "id": "45cf9bf4", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Sampling" + ] + }, + { + "cell_type": "markdown", + "id": "deb7aa2c", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "In our example $K=3$
\n", + "$p(\\boldsymbol{\\theta}) \\propto (\\theta_1)^{\\alpha_1-1}(\\theta_2)^{\\alpha_2-1}(\\theta_3)^{\\alpha_3-1}$" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "61e6d2a4", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + }, + { + "data": { + "text/plain": [ + "DeviceArray([[0.07584376, 0.1851281 , 0.73902816],\n", + " [0.08150549, 0.06043429, 0.85806024],\n", + " [0.5291344 , 0.2872818 , 0.18358377],\n", + " [0.3053637 , 0.55593014, 0.13870625],\n", + " [0.8189849 , 0.10972024, 0.07129489],\n", + " [0.07830975, 0.24926934, 0.67242104],\n", + " [0.27547845, 0.41870305, 0.3058185 ],\n", + " [0.8666831 , 0.00429375, 0.1290231 ],\n", + " [0.217285 , 0.54882336, 0.23389168],\n", + " [0.16424355, 0.26540357, 0.5703529 ]], dtype=float32)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dist = tfp.distributions.Dirichlet(concentration=(1,1,1))\n", + "dist.sample(sample_shape=10,seed=jax.random.PRNGKey(4))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "0b47bbe1", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "def draw_sample(a,b,c, n_samples=10000):\n", + " theta_samples = tfp.distributions.Dirichlet(concentration=(a,b,c)).sample(seed=rng_key, sample_shape=n_samples)\n", + " fig = plt.figure()\n", + " ax = plt.axes(projection='3d')\n", + " ax.scatter(theta_samples[:,0],\n", + " theta_samples[:,1],\n", + " theta_samples[:,2], zdir = 'y')\n", + " ax.set_xlim(0,1)\n", + " ax.set_ylim(0,1)\n", + " ax.set_zlim(0,1)\n", + " ax.view_init(45, 30,vertical_axis=\"x\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "81d02bb1", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# %matplotlib notebook\n", + "draw_sample(1,1,1)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "563f5f2d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "d4511bdb72d147c2987f52022b16764a", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=4.6, description='a', max=10.0, min=0.1, step=0.5), FloatSlider(value=…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ipywidgets import interact\n", + "# %matplotlib notebook\n", + "mx = 10\n", + "mn = 0.1\n", + "@interact(a=(mn,mx,0.5),b=(mn,mx,0.5),c=(mn,mx,0.5))\n", + "def plot(a,b,c):\n", + " draw_sample(a,b,c)" + ] + }, + { + "cell_type": "markdown", + "id": "8de643c8", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "3D Density" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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TCC2qVCqWZRUKBcMw+NgRBYMQaHJhlpVGCQofW2FD6y05ACswDMN6vQ5XMYkimUhkiVIKHP8/uZALggAXuaG/sE+KN/JwndvxT0tPMFSsecBEdDa6G2EVcpqQLihKtSobyeEnPhNND31v+tBk3S34M9VoNL2lQsR4Nxs8vEF3FIJkE1KSUQ1Ci8gB9CZGMS6m4fX36G6aaApM/CRRR0Hohf85PWpIhRXHMS0hnnbG+gmzqeKje+GTf3QKpNxj3YCxQcMRgQuUGMhly0GlfJKSd3Q8elcCayOOFnqYwjCs1Wo8xoV8FiOBvUPkuIYUBMHg4OAf//EfP/zwwxdffHGj0SgWi5dffvkVV1zBtQSZc1xT0h1yUhqzfU3RxRo0vRyv0QD5lmXxLRfpRlWW4ISAWkQq2xY/HZNEdgIA5hJtuJMRmtbhFN4xwb9XjfLeeVzMg2kVPkIc9uRmNDSh5E+vcDh+4EgpxToBuFFasGSSxVCAOZCi1hQZzdNtmlH3vWoYNmpedKgcrgrSF87TF92OWFKtK7fO5XCDvQs85YqO+fiEUaxpmu/7JBCGgfRISaJIWmsMTqzc525/4a1rcJbAJEIa7sQTO16vQ7dibmAcq2mauVxOsYQ4DBTpUfKVrx0a7dUnDhgCBA4c4XAa4f0+PDiKwxGYAKD+UJgQXgyJkZGRvXv32rbted6+fftmZmZWrVrV19dnWVaj0UAUvNQ7L3SeZOWEhg4Py8B/YNs2T9OQA9CtCM5AEBIHCOFI4edWxfG/9JJoIz4JaydcXoDNdxILMVCqvBBlA9vxnuflcjkOf2gDThCcYl+IBHaJM2mHnoTcMpRCedsRX7OGRSepSLQ0EKkZyF33A882a3UvOlij25V4ppg0w72ZIxMST/oC2S4EUoolTF5p3QJ5eJg4PHmUlaHo7SxCicyJl07XgqAK73LLN7QxHngyhS64E48LHSg6ePAg9hEQZsGtKFklO8fwqxRNiq+UaZZcoIREgE0gk2hztGDVyKNwnufFcWzbtnIoiXBO7AR2onO53MqVK1evXk3PIm6IponA/Bc0NygDCFjmdS+aptm27bpuS0EiyZgb+JwOdhwg57QhIG9QI9AzuOT2uFIsJFNi2zKE1mn+4ZoPrrzJkBMgEYYhnEmI6abWosDzTBzHwglAtUIC5YFRd3C0c96U5eXsqcgP4cjyKUubpk+cxIZu+GEY2lYj8JLphpHeFKBuu8m6SprKHPlsjmgoowzjXfkqxyP3GVAGJ3+xnHYcBzJwAve7wt7nrvjMdjzHg8JiBcSx/dnyXAA3hikuXSIJbzN2anFz3ejo6NTUFM6sAQhgSsgy3bkhWVKmO9fiV048LdfoLNZlIosALTmsm13XxdZ1o9FAiB/DWls2QVd8FnLL8sd5Jk2H7NBYuMgMzkbzYU47IC3zEZ7YaDRo68DcwQm1dmhQFFmAR8OQQ/NIFmCaic6i0hM5V6ycDi1K/ijFlJ/EH+tsDBMsKSk2LMME4EuVJVtkseMkwRgMJFpyAJ86kHzMaVEMCCkM7A5EnrUkEOYRnieCJ7VLilpCU+qm+laPI82IdKOgxeVqrZErBLVyHFQSLdDMKEzfMtFsTU+vCTD0UIsszVSA4Ge7LoBKR5mssGWRbJeTz+er1SpeUfR9v16vY23A91JYUTIc4xf2Awso+L8gzgE8Zycp2L9QflI+aBqjP7K9ohQggdhQw73kyJRnmFls8RNZIcsKvdS5PcdQrpJx2AduBuw1gPPgKhxRsCfgs5VGds8RO7YAwXPiIPUCM+eckHJLie2wUMEzmagFXz3v/smqJxQLggDByLzD2rIsOBFRQOIwZ0KOn4pyHEE4sxMGsJ0D4egjLMTREDYfYT+hIYLlT+TI/j1+2HUiYdKZw+gF9o4knNd9wa0igxCkpSWrzC2tpzclpZ6jKIm9KAzjyPMCPUnfNY+iRLN0I92US4OI039m42GaGz7tapFL2JCl6Ywrv7nE4ok5RK0piyXpf+LMRXMcTbcbm+0QW5z8F7ydRLayI6GtsESQEwwLQND5giA1HQpnXSbKYJNwFrSTFCEjGjBfYKbQTOwVJgp1xAEmGmxKrK4g6NIe4tjoOVa9oq4ncMgTQFM41pMmspB5NwfhQ86lliHbYbaiJKLrIO2QfMThmqbZ19fHbmVdwj9hErK/pOkPAqlA5kYvex+tcH71fV9GtctgZ1Zh00zMDYeTtVpyQCpMWUCReXQHM6HiUB6DgnM/MglWwpxP2tK0INYMw6iFfmFw0N+zWwv0IH0CNDFhGDVv6242kcZ2H6s/7MhjGUa1zyAE7tcDPYb/Q01xzqJ5RIXTc34uBH9e8HYSVT+1j0xg+cgc+V4geg7LBRZQWHy86S/gwyA73G4ipwEF//n8hPiSM2gF1idUCW0m6BHszXfmWOev88F2MeuSJwvRqMJ2NgF7iEqc4cOQf1kLZarVKo5zoyRPZcIvaJpmpVIBIRgI7bTVghJL6hYiQYowBcolE5tDGck9fppbAtzGfUuIf+dTFegpIIN/pTk7t+ZO1mrHAdn72TKUfEzbmMsx06Mir4iUKqszzGwr3eQkcWwZaTBSrGn7Jyedwf7EtN1cKdINXTP1IxZSEse6afDm7m4g97YMWESjB8DBHGh+TA3011arVZzngNOa5WkegdsvlOOiL3g7CRKP7kF8ABQiuxAF8JIUYtUxf3TTQ1RngCbHTG+lsB00yiXMFA5vZcQuBGJoi/KNBNDAYgLzMe/YzOVyvJlX+lclaRKmzH8BpclqdEHPKcoChAxAv1DLUB8hUsowjCiK6vU670IrFov0jFLHyTdqgiCgqmppQ7yAOoWLJeKsLB6yXEXJdvmE030CgsF2cb9Gc/ckwmEImlBsuoetd4/ni6pklsNUTVBicI1j84iXxctaTCsqt1dsTOEnmq1roRbvOTTeMHSjVCyOjAZJFGvJc7FIh+8OmEVkd68wBBwINmWY2o/+IUo+GOs4DoI0PM/jKVFsT+NYALUT1w+9Rbi30F7wdpKinqgxdV3HnU842YgIjGKxyHmOfMR8TwmQEFhm8RMt6cKEF4YhZjiJc68wzPKHdqci0JyzDcMIwxBTQhAExWKRyqVXWB0/cMgfSSMzFwJPKCAYQGiUh/DxgCBfO8YTmLRi2UFUYfBzQEPh0iOUkbQsBAmLA7MlFegamJUogMhcZTNlzhiy65XWcRcdLtrwPK9er+MqWlmsQ/jwnPE5WREckHwmT+jAw2a0aZq1Wg2TwlGfJG8JkJDnnEj0JGgETs5OtKQa+H7eMYeGGrlcJQwbYWSbVhqZ1IxN6u6OyTkjcpSKNIxYDgyhksnakTwxB7Xj++l5PsdxgiBwXRdDg9UJViY4uGTmMUm/4O0krA/QZ9JxOjMz4zhOLpeT0zb5Lv002a5ShoTyk0AWrcNwmobPJgRBwEOqMNUXwmBSqCMTlPEA1VMqlTAYcCkzrqaFgZVlrwL5hfWTfJDmNTPnTwvZS1BoyDRNHr2BDwlvg/P1QBpDsAlgLQGIhAn7ACOFV8LIwmxXMYtl/nGYll0AevGv7/vcEYC/GdthGMVyUdtDojgfo8V8Pg+3a71ed10Xoffk+eLrkx5S+gICRamAOsX6Gdc6yEeOOVikRC0cmbGWxmpr6Qsl+r6Jca2QNwdKVSOJLSsytDCO0pNuptHcdNPTzbljGaGkZWWVXIW2l0wjJ3k5H9gYBAFsJpx0A/Phl1Ic2xLawnVBN5Bf8HYS1I10HdnNv3w+z+v2qfHJd04q5BE6lQWQnxWLzvmENv8Etvyg03GOCRu9pmmGYYh3A+SLclS782xacoCCLjNlmvxBAo4N7L7h/CCmqEUw4+ZJdffVZb/gqnruNnYPpENJwIcdQ4Uex7HrujiujztOAYEdJI1R5RIXRdRZBQKD5trhI/u6XZnjKp98oyEItxmQhBy6zT+8PcJRDz5I+6ZLusgiglJ0PeDglJBt25gheK8ER1CXzZ0sNjcOoHeSJIHdjCvxsqFjSt8pvSO7eG5oZGsFSejabnrrdhxv3rrFW7tSy7tGPm/mHN2yk1gLA19LD77ZjmXpsW40N+CycBY6B3JOhrT8CRwYJ8ChIXHDqg9vfGHh53ke7rimpmpZUQJZ/PSi2kmQM8gi94mzNLf8xB5CeTpUcJAEJpFcFmAzSF4mm21I5rTsG0oDSrIMtCp/SjgKni138Tg5ZfUyQ0nkeKYAoSF6MvCWIfwHnufxCCvxAScBE2xvh7OiIBR6CVBJEBoTgANMeNIKq2qGRipA2v1cCK3Urq3u8xHQUC6Xr776asdxLr300osvvhh8xpIojmNsw/Ox5JbAFTnBVloURbVaDeobbyxiO2ByclLKNutKtrdsJVtA5gBOryxsBQEiiXzlZ7ZwSwlUMgmEsgG+YUSgMImSHCMOTOTzeS6uYN9zlElnM8ozCIPVFcSyP1FS+VfX9VwuV6lUBgcHGVBPmLJrOmRy1acAf5H8ZNd3Qy8KS+sZvj1qYPKcCQlWyVR+ypJMU0SZ0y4B3Bwt9RoFZuw3Go1Nu5IVyzw/XBIXgiC2Ut+vZufziR6HehIGoREbYZxe3w0/aDf4yHu9UX5WDCTyLWu1RIDjiHVlAis6aEi5MceDohy/8Hxn21Vysu5zNqeUZP4cEgtuJ0m5kWzlCjirleCEoDpALfwLbuJfVMRNwcfcY8EuAZ6SKOZAZMEQSRR6GroeFTVNw7lKcqld11IoYRHGcez7Po/yIbxXhmLI7iBMIMOfvUrgrVBs7tCutSyLu3JsiE5X5pAu5hwnCVgVmzdvXr169ete97qNGzdKYxe+HNy3Ca8yOl12NwhBkCNCzVALs3V/fz+EmZcswBQ4TsjvHg1ORahCGSNDkMOBQ8jIgeVB+YclCtMTrJPjCDcdSAhHlR88NoAr1z3P832f986zLlDN7s2RFrY4qwSVFQc+IogBRJLfbj02TwRmhe1xUphyotCumLASW+oc7PtAo8oCC5EmepRzSHIWT6h6P/CMRIu0ZKZamfDqWt23/ChyEq9SS8JEN/GiiWZpRnouLjZiLQLaynyBu+vYOkmzLIsSRQeELMavqCI/EcgiJGgzceWDhQQvasKozI5N6T7HJgamvy6XLl2StuB2Es0dBSEp9+gb2hYoSY5Am4Br+ISJNqu/lCYW9KeUJylqHA8sAIHmS0DIj6JU3HmNL4gFRZwbusEf0OgSwMqJ+hePTmiahuZoMHHAdNPE/MtgYoD5CwwRFoB8iDX5xuYgD7PiBusuXALza6lUchznF7/4xQMPPPAnf/InmL+xDZrP59kpks/Q2pzjsR+Eh9JQHpzhfUicTReOloWALA1xOc0zX3YoMyUm4AaEFldi4v4L7FihOi1LCY1ACIE52QQrQplAvSBmhcNEBja1hNkS/2xb2Ry2DiHHwi/rJIBioXppiUMW+AmZk6UdbCEnMdFA9eE9V/SsvFZejscF4hJFgogBJfxEWnaoY7uxYVu6NhM0ZoxktJ7kG2G9aHqVspHeBZCeeEvHkaYZuqGbWvpf8w92GOQH+4lQpPwXxSDY0K7IUTip/ESZxf8XfnrMg9CBHBpgFz7xX7IXigJUU3kSf/KHUyQ/zSqx4HaS0g1SRCjZJB6H1EgSTEvoykKhAFDy31mRuqCFSSb7j73LHEh2EAQIeQb5iG5RhBuoKryS+POTzMT2FprDnA33kuM4fHlD3ncn6xJbmTn/NMQU/YtuhaaAuQCE4WEC2hTrlgyZPz7zhwAqhoeH3/3ud/u+/8UvfhFdX61Wv/e9761fv/6cc86xbRt7joZh4IJ/kAPFDW6Q4VJyYBCALVS4qDt/zBcNAklTlnToXKCB7oYhJctTJxiGEQRBrVbL5XKIZsjlcnhIBwzsQA4AAhRHn1KeTeu6johGLmQxqeDeEPQORi4hsMuY4KdZJYibruue58GrRCsty71ZAT9RC1NaJPO5swaqEQ2W1SGyygLxB7k4Tz4AACAASURBVE1Q1LkUhDTCIEbPHjaLNS3W0+Ds6WqtUXCccmDP1KY1X6vrVvLcLQDPpY7gDeHh3gvsIayHoUBIvqJAuG4/Aum4+D8nfWLDYU5mMgECcaRU+pNQl8MfEHrS6QtuJ2VRJyMgLiQDMyiNCQTcwBmez+dlLcKUWx7ZAouWQxL4Si77mHofwRCe59Hh3y7+F9LQwZ3AoQgClZ/IlG7MIAhw6xffLwRWEu0F4pXCB/Q4o5eg3XzfT5IE3FB8hLQVFgi9OYDFknR8fPzb3/724ODgJZdcgkmuWCz+5m/+5gMPPHDttddecsklZ555JqK8C4VCy1ag5jA3Q4yRswid0hKfXmVmpVFRW2yI+hrPqXLhCxPfNM1cLtff3z8wMIAq0Ay0LSRYwkSCOHRgJowhQoNkYj0KI973fQiqnGbQ6DzFEgOcuGGGyOVyGA5YWHP8kjSWZ86LKtGuuyE2ZCntErILYtPDKbMz2yEb1Ht0IPE+fVXtR0aspeHZk1Mz9uCgVokSL9LiIA4MA7dMJqkvKW20+baJgUsC8JhJ09UESiHJtBfBENwbgpUAJxQp86SlHXtZYNESxARDUmJLZiZJQkcA+CktAXZ9D3FeJDsJGEsC5D6LPPd+8ODBwcHBfD7Pcz2YS1gXiUWT+znwmj0NzDGSsUy0bRvH1qhqWZgs4hjr0DTKsC6hZasgdNRxHD5eCPcS6ipczVbvbY5sFCYRDQWaxXJh0YGu3iLWPTT4OV7W/AuCAAEuuVwuDEOYTS9/+ctvuummiy66qLOTH1+VxZCkF10jc7pH8rgqSRkjVvQpxnHseR5mMkSvK57zer2OtQfZRZmHGiXMbCLbriyj6F8JDVvksJa4qgE0dkpP+kUCwXBg5CWUhiIexF9WZOYJn5AdyimT8wgULMswvI8djSpSvSw0x6T+x3TeQrcbuqOlV00enJxyR5ZU94SNOE68IAlSF1KsJ0l62+Rhd1KSkpd1LT1HB9eZjF6ChykIAvCh3e3K0r36HLhFTMl9t3bNcjhA/nGtLhUClhYwmCgGsBd5vLQd5KPmL5KdRLzpX8EWA/bUoAThXR8YGOjr68OmI0xghUjwpaWmIMuOSvZCFOD6GLvF2F/DWW4MTnlEGXKJm0mJDFdFzGGCpKEi8mWaJZkANAwPWEuI9fY8r9Fo8N1TDi1W7GECONAPzNGIJqA1MDXato0IHsShY9akjushSvMEFYYhNjEbjQZOVPm+D9GN4ziXy42MjLiuCw5jlkWL7EHSzhwIM3UohoOUcDl85on/IlSXmDMwDnvNGO+8T4FH0sgKiV4URb7vgxuQBAmZJTnuoFukxcMy7RJoF+xVZBUzirSWOFI6j7t2bbXLl0RR19MxANwoG+2AnPD5HAK0kNBfNI9kASgcRR44yy4oryAbuOIOl9tJtc/pjx0a6c2AozjZMzYW5dzxyuSMGel1Lw6MJImiRDf0pjMpTtIwJa3tZZO0F0EdNSfeX0M0N/Y0sCzJ2m1EaUH50w64Yr9iYMqhwf7FAEcBeJ11XeedgrxbDuRIZ3C7prvJXyQ7iajQdYQnRJzmHwUayhTcUbqNGk3yi2CR6PBJKdnznxi0cRzjXhbLsnCBU7YhLHTQ2biTlJQCf1Iq67YjDfn8iroADrBS1JDG/THKOh4QMCfJdueZJmmAI5FhDhLQYjLW2/O8JElgz80TjR5Wh1WHC42gcRzHgVmPqyBh7bmui1NvbJp9xBwmlHmXpi0LvLASoBSrBbxaAKZhzYADqqSIgx05UkKkrSyLUcgh55wSpAIl/HYJZV7hkJFowGqByvJ937IsddOkHfTu8tuJBMcC9OELXR66Y8bRS8E9A7MYsVwt1Us7rh69gV6UKJfLuKQml8tRMjE7AFuJc7p/lNpJuqYlB8vl2M7V4igoOnndjOPmubYj+2taHGsdb05iWwoRGCywQmBTYumCW4vkUy3Hlm8K2kBGQUnOjGAjVQFCDGlIcGMOpipCYJUmZvWzrZ1EDOI4rlar//mf//nGN77xV7/61X333bdx48bXv/718Ieje+QKGCshaEZoN9pG+IloVmX+I0eUBPcdmT8r8ropLLmftfeRg9ahWwmTaz7koOdwMzXLyASA8HIdfMrK96wolfMKdL1sUcmRkOFbwnKZMaQSGQqABMJMCQotcibLfiJK2U9KDnjI4ERN0xqNhhzMbAsJpTobWugEGCXZxRtBsGPCk4ZdYqIQAmbyX3QB+1op3GUTUpJlmmCVgSDBZvtduR2KJ27gDIcjDQFGsi0JE2mFFuUnJkU5tUhpzELr8JVkZi2kLByJBtxIMILxEJgMHiJYkImfsnpL4CjQuTDKwM8K5zQmYNDIfSXAl2gAkw6syKI0hxwsA5SVFR2oSChYdWglK2CkArX4rmqHa9g6s11pvWXhlmgoFfFTkoZZGREz2AxRqigCzK+pt6PpIYrN5NFHnsxtPFOvbnMG9GpsBl7d1k0t0RMt9SRplplezKYjPIkAjp5Q1mCwGzRNQ9wk9nnDMCQ5WPVl+aCwi+WzJY+OU7OEArCbWkoVyVXigzII5IeJArc0BBJ3r7AtabcQAihS2mprJ6FckiSTk5P/+q//umfPnte+9rXf/e53L7vssq9+9avnnXfewMAAmqnX64yzRg7mOe6MwvcljzUR0WOVkL2rcITcZxkiiXlRMY+wOcgoORY+/hO4BRUWLS/+xlqWtxiAChqIklct5annVDO+lRd8Y1XEhuRaTepWoro4eBKf4ydBASYryB/YH1AN+Ao2cnJVmCYhAAiOpsIrCfHAFUTFYpGWIn3p1EHHD3NmiwljAEAL2AUnP3aCoOXAKGk9zJN2LBRxoyw0Pu02TAPAQekg5ec8cVB4BcWO3WeoekzGUB0QBjwbwMt7FHwkQEVKGe8MUcTDkWEY4rzzwqlZsKgDnhJn4Cbv0TVNU3GUKuXb/Wye8o+np8tT5UrOTGeYuOEnDT/WkigKTTv93nazrR3QLvJBL/d5uZtZqVSUSEHMd3LtCvIVFcE2lfzeyh5b6TIBgWHEYRAE9HBjP1SG+QNmSxloaydREfT397/vfe/7/Oc/PzEx0dfXNzIyUiwWN23a9MpXvtI0zf3795fL5fXr14MdeFIjSZJGo4H3pxCOzbYJljq0S4J7VazleOAkIT0ExJnH+DFVQw54bJh2Va8wPCZwIEkYLdhF4rKbYRlATNFrC4StZD5wo3lKNQ3OS/5zTBJJOaQXCNXjFqzkIZCkE0h50gdckuVlGoYRZAMLUCoXPC+NwlEUYe7MDm05rI5bdh0VMUgaRAs+co4RSTKFkDxXco7akCzAjuDiEz5g6B/JWCDG8hJID9OMFq3X6zg/i+gQ27bxbh0n1M5GEkeogjBqwTdDGxGP9vSQiiwopY/4kwlUoT2ByGiMI/aCUjjbSjZH17U4ivbsG981PrHc93UzyceWaeT8pNYIg4LmpM6k5p/CqCyoOedQkSZJUiqVcEpO2hPcN0cT7fqO+RIT2tAyc6HTciyAOgxVesuwh4v70tB9isWvYNjWTkKvYMvDdV3btvP5/NTUFGUX0B3H+dnPfvbtb3/7ggsuOOuss0qlEqIQCoUCcFLak7Oa8mlxfirSBoZyd49+fs6vYRjW63XcB4h7XeHPyA4JGFscM4tDzjxbAc4cJ/DK8pgGmAAzhXxjYp5NK9WlZMtP4DO9XJgkcC8UhFNOUcSN3mbkMF9CfnGmIZ9hGHqeh4kNzJGSQMMIVx7QgYTwWDlDy+HMaB6ZeeIxmRIFMnF9AHjCeUKRN+XnHHiCUYBdA9zhXq/XcWeKBE6xx8hlQ7IMM+eWwLM8YRhyDwFbzDiSgtlIXv3XoRUFK0ggTHAoIumi6wCnJ58wLoCD5B6RhIVERywi1ebv39LT65OS6YoXFopmFBk5UwuiRrkemokX+AU9fV98If5IF4FDnuEKzTX/0I++78NDjFecO4ToESYHAoAzn20tTkLO0dl5GX2NPUe8l6qgLZFsaydBICAH8PeOjIz09fV961vfOnDgwLnnnotjPv39/b/7u79bLpdvueWWDRs2uK6LeQtN4ukG6NljyzJJM6cBHovAOhvDEiXh7w2CAEsZxptLOLIbMLSOlUBIrLpM0/6QODOTlxfAiwMXDuwSloecZeWvSwRaFlNYCq5K8WVoCIYulvXoOGkwsSLqEueWjZ7wmZKB4AxiBGUQIbUkLNEgCKABeP8TCmQnBrrlqTEUfp6QXQAna5IkPGijuBYUJvTwJw5/WJYFtYzdc/YLRZ2dzpye4IBRZlkWwi0wAKEuqOexquFZdLSr4EOsaB5BfjiWZQEYZz3B/6hAIOfEGaYnbFMsp9H11HvAH7WI81FbYYE4CQ0tPjBZtkaWeo263p8r+XYlV4r9qhf4LIZhm+7A9fQPyAM4kCdd9Bnzgp6g+Uc/Ew+rZjGaAx+yQOaTQwQUqZM/0WXY0fZ9H8/asKLSels7iUZDEAR9fX0f//jHoyi67LLLdu7c+drXvhZTJsQ3juNCoYC4bBjdHLRQxIf7uNkyO4b9oSC0OD/lYKB+R4wOAiRxYA2TRD6fl74x0KjMyouD9oK2gq6hqcSRD/7gq3xAR/JwQRGDqlJMKMRNt8SNiLUT+gXF9jgBLtkl+QBNARZBkoMgQCAqFvGwRJXDzJIoKSdyzlBGNBGQrUs4J0Aa4aKIU8FuhWRITwjneJRWCFiNEDHe/A6ty0alb6m3rEZIbD6fh+8BcWlJkuCyq0KhwK6X7RIxZsLChjhhuoGBBUo5TzOTFRcuIZEkemgO2wic2rjlSm0DtCWEbvA00huRks3bd8WDw9PTk9FA3q4U84Oj8di+wPOx5ZaO2ebuW6Ilne9P6qZFWUYij3zcYwQxliWx34pHmSByjUaD9wMDDpkzN1bI5uacpn4DBHaHcu6BMsbQpc4tdrKTMCnixB2Mynw+v3HjRgwPjBb8i702XIvC9sBxaasqaZZczIQcw9xgwn13lmXlcjnpT0ZhxGTwTZWW41YaqotJzpzbggBJtOWYkfm0CLF25BtYkLA5I6BUpEAr+fhJ3DhJY0xK3Li0pYZVZu6WkE/UTMlPMI2jL4qiRqMxMzMDk4h768qUTOEH8wmQfQFdA1HBdWgwW09UloIuDg38xATvOA7ug1C2MiWvesIWqi8oYR7CgI7CoOB0Jcc4u2+eaPBaE2zKTExMfPKTn/zsZz+7ffv22267LUmS973vff39/bg/jNjKRiGNDPYHAzkxUwg7ICy7oEMx2ehR00SV+2voO3SoousYp6GMrDkhE2tavGnbDmN4xD8wFfYXJ8YaU3442NwZl1jNCfhR6VYLZHUmuC2HNh44h++g0WhQP7DvAFT5qba0YL9bMoozBYWH8zh6HNqMSClA2tpJ3CGGMcGbfrBXhQ01aSoh8g7NYAwTM7Z9PCTkk6XoSIT3y9MKkH50P8pAeuRJK+STIoWtzD/OEwraJErJBxXQZZAErJ4X/36jdhMP9SzWOjTxGTjSkqLjvHfmgx7VAZbFDPvAPGeaZqFQ6Ovrg9cBzJEsYpqjmAD5iYYXxSPbO5So+dByXNWV5FO3YuKE6x4MV4opP7unCBXBfLKX8zTgIG4J6wTcES8vjJlz0y2RxAX06PokSX74wx/GcdxoNL7zne9cdtll999//0MPPXTJJZfgekPyBziAMzDpYHlw2KKtLqWltxRJMuFYhYcVbydwn4RdANpRiz3CNUPWzpDwW6SjyPMam7ZsrZ25zgijpOD4WmQUikkUR0GoxYlmpK/g4qm3hSOciLEJZbyjv5Svuq6TP+xczJ5yB0ZyjA0tUIIYUvaU1mUB4MBOZCh3FrdOdhIgYv+boTwAgXUMdCj+xSMyQG7WsiLwypJBESQ9LC77kml8JRzMBHCTQpVgBaN0PGHCyGPEkq6Hhp5ejGoaaftREKb0NlE5UiWVEMOwGIx1JL/F/zsoAuJPzFGf+fipfFV+KvBBSxYPpRgLKNCYLxMww3mqBesJWJCUBMqoBIjxMx/ZkGi0SxuGkcvlEL3B542AM5AB7TDx2/GhHXDkoxbrKvdJdq4rv7JnFS5BzgmfGyiyGODI/iU0JBqNBhSE9DHgWnacJ8/uiWOMcA4+jECixVFiNIU/idOHqLQ0J9Kb4+EwOYmWxJqeGJZhE218Un5K8rtJZ0kmWKn+0ErnttqBkmi0g9AunzhI4Jj7efcxrgxGK7BW2VPUbHJQ4KsEyFaIqvIV+WiX7xzAx49PcuiRFiYItpsEB04cx47jvOtd79qyZYumaYhWWb58+aOPPvq6173OMIypqamHHnpo1apVS5YsGR4e9jzP9/19+/atXLmyUChIktluS7r4tWWiGyoUlqIK/mWLvHfRMAyumfmViZY4IDM7PT2/cHz4mbbmOX9+0pPCngN79h465MbrG3V7ZPfBgytPDzc/rGlGuVzVTQMyY6SPu0WGbjTfzGXtFglKVzc4t6h/JEupDhEit5WvULCIhYBU46YxlIdk0stADFFSgkIrEHglX/48guNR/t9NFWDIZWQ7iJ3spHZ1FjSfTASR/Jc0g5UQSma2UyUwcvEvpnYcXc7KNKYc2jqIZnUcJwhDTddNUw/8xHZ007YQTJfej2poTS5rgNxy5Cu8kgizb7K0YCZrmU/+KEoW+gvwqRaBEqrIphWs5vYT8zfi4BDQapom4n85JIAk4IOcBUJGIQEjk2MbPlE6WrPSolTv/BM7sNhlxg491UfnirLvWkpgu3hVnudXOhGToiQTacxbKNxSirJ4Qn7AGXmHTaIlhqWnXw1TN43Dr8M2b72jRRXF6VfbNhtexTWKcDkYhsHRJO25bNMtc8BSyTEUYw4T5KRkDvnQclSyvwCEFZFQMluid9RMLMPgZccd/TLkS3KYrUuYxFBmdpPGXio2Aev1OpavcjwCCLnXDUxZBmshdr1lWXi0x3Vd3/fHx8c3btwIioaGhgYHBx966CHDMM4+++wNGzb09/d/7nOfu/TSS1/xildImPNJd+YeBI9lsKSBSEB94bwOrrTgSGH5+SDWuS4jjUIt3Ld/IrKNYqzrtTCxEivR9SQKQ9/306UOBfjwAybPh4t+ZG8C80XA//lYPPcLXIWfiXoJe3a8K5XYQtvgJxZp3DIGRGRm1fWcR8dziM4ydfzaSSCEHAE3KcqKlUCq4TFKkqRWqzFWALoDI5wllQTE0bIsz/NwCwDK21YuDCtBENlO80qwtNPi5qRiH7FmEtRtWku87UIB/7yfkGMOAH4DjfiXXyFtMPWwk4rL/XAGjXWBLaPw0IScn8jJrNgRyGwT6A6YiWiR9zLD76rIPZuWyMy20c7lARnIkAlwp0O5z7NpVKcszQoa8GmHP2w7WM9UN4CPf1mdlyNAAckIDwBp10SHfNw3jd123nzTjDKxwjBubraGcCEASOpY0jRYV6aph6Ffa1T7+vpM08TLd3Gc1mKZDk23/CR7kAWoBChI1AOcUcgrQJB3ngEObBfFxchasi0ynAl+7SbBd9pxWgrqCOMahovsXAJE14OuubXLkAksWvCvdB+CjWxxtgloFfRykiSDg4NRFL361a/+4he/aFnWZZddRs5f2PwbHx+//fbbEdjqed79999/0UUXzbbRbspLuiCZ4DaGCeIrIJD8l4ZU1pTspsXuyyTNN2wPl0/jsg8nfUv/5dNb4mIhF8XBjNcwY931knoj0bW6l9pJsBXSlVKUvmQC3iprgznLSff4d1+SAkwk5XIuCALf9/ECBJQVRwSaYCdCrWXbZYHsp4XLOe7sJHY5lQiIR75cJqIbmEPXEXIQnYo1HGF24COaw1OmeC7jSF0jieK7fvyjXbt2ubnCRRe9asPG9UZ623zaYHpYIT2JYMCZGkUh9VGHtuQn2evAk5RKijhCcrlc6uUKAgwh2IXQjCAZwAEWIkiAst15pgGT2pybszAgcL8RpqJ2MzcNAoKaJ0qonoUGJvBlShTIFuuydT5dDHsacCA8XUKQxSi9xIcJSQ78SQjswIUfWMcbhgFzGWNBqSsbQk9RipRPbIvkIKcZfBBbVur8NwzLMDSsyOt1L9G0Qj4H11Gz951cLteM8Tek4wS3h2DSatnobDOphTnMqY4BCqMGtjuChWnHSy7BduHmu2SdwoTZYojyFAks0oAVNuNgurEvWJINSRolYizQIYGBjzkGbxPh7WFUwTidLUyluTAMHcdBYIphGO9///td1z23+YeOxr9sxfM8Hhm2LGtmZkYB2MOfbJSKSE638CtD88BCwgUZLREgJ1t+nUMmOzqVwyP1Dc189IlnnJERXU/0KPbDyPYC14vq9erk5ITn1ZNEb167YHFtdqTq4f/3HE8FfuefLVsXUSspodKRb9s27qBGICmWN5gj5PDM6is0xFHTGauefz1+7aQsp8AjyhjEHS4WHknDrrxhpBsEWMCBZZBR+vGy7G5upiSQX9/3MUPEcfT4o7+68v/52OOPPRgEvteIV64+9eOfuOL3f//3sSJphgmnL+8AYGcjSWIO3Z1Fg6ctcKwMBWAAcZxg6Q8Vj6ajKKrX65w7s2Bb5vRKmMBb/ItoDMzf7BqYcXLFhiFB0e8VJhIOtRIyOXRlmTmk0cW4bwNuqg4Xr0n4klhMhIpekIX5IDSsopmZmSRJcBgTwcIYHVn7A61wW0TCpPjJTKZZBfOHpqUmUdPENExTNwyjVqtVKpXHH3/89ttvT7cEGg3LspYsWXbmmWeeccYZp59+ejNEL87lTJgg2MtwHAcGJRvqMkFClH6kJJMcmCBQuNj/JS1RFPH2FzqcEPUM4YSKaNmDhN8lwkoxVAcVdPhBYHi6FiMakglrnkBoKjGnywTapRMCNxfAXgTJEC2IcZa33bQCVzG6VZ7k4FXdpmniKzZe4WPWNM33/YGBgZ07d1LGummu+zLZLiNXebwDfQ3OG4aBMD7OC1kI3bfeuSTl4UgT6ZSRjrJG9POntkennTblVTzTjOLErTScOLaa1y44jhOmbtw4DH2IhOumr27LP0LOZsqcBU1nBYmcz7ZLxx7Pm2MbGvqQWxBHGHUYgPIzC3ZBc447O0lSC8Yhh6KMdSSUYxzHkHsca5ITD4pRT4HLHTovjjXT1DVNx2pJ02Lf9zdv3vy/v/93xw5sHRpyXnrWmZs37dq7d8cnPnH5+MGxP/uzP7dtM45T0wrtHnXwA5msoqdnCEYP6AVFEBpFRHipP+10SB4er2FEAqZSpa5kb0/ShM+hghxoInQT+gLLaMwZKJOtO3+UlB4nQMxG+ElU+XVWCfhIgiC4/vrrf+u3fgsRb0eFQGJREj8ppVz1Tk1N0Tln2zZi0sMwHBgYYBWMBVjPtNHxVf57VJRkAc7WHCMwxDVNK5erP/7xHTfeeMMDP/vpvn17PS9q3vmi5fOO5/mJZvT3D65f/5K3vvWtH/rg/+G6EYLobduG84mGnWyumzT1JgvTegCZWKvAU0jPEMzxDisW1EUBuGNxFsG2bS5F2OI8E2gLfYSxjJNoMJhgRmAxnZVJ0jgHHLAM41jgYIQJ63leB/5001wQBHh4EbYRVJ/neTjmBvMUwXYwpLBwwjsnlUqlmya6LJPlGypSGyNUC8ggQJtmtFTFWW5nc7pEqUOxJszDFpKWpLdGPvXUpm2Hyvm19pR/SCvlSqYZVxta3qnv92ZmKppmWFZ6hgJk4mghzW453ynYsus7INOTTxyS7TqCsx6ag7GOwlB0FEUMRmyVQLlhww5k9gTbOQM5ru0kyVk4UehDtiwLei17fxTMDloYnIrofm/JrGa4xeEvzTGm7dmz593vfne1vOOUlfnTTh8w9AOv+fWXjI9HDz309Gf/4W9WrFjxW7/124ZuUT4ozS3hS3GBTGPXHA4DfIUTuJ2y5i47WAEgaB1+BazzsAGM+GI8Ns45uCVivcrk/IoYKVDBTTeMASgvGEz81CsEOsABl6QZisKKcukAgZ+iKMJlOffee+9//Md/vOUtb+nv728Xf93OVEV3Y7JEsBH9zwMDA1Df4BXFBgmoDEqI1PjEcM4JDhBEtORyOd/3H334kf/3v1155513pBttBb1UsnK5yM1bhVyhkC9NTE3PTFcb9ZlHH/nZLx782XXXXff+9//RRz/6UYCybRs25RxQYtfAKJQcgyyBdulDbdkKup7cg3LgmIVRhakUw4Q2aEto3Wdynqaji40CZ5pKPJjGAt23ki3JdqkfCJb78uhfDtgskM450C1siO+gu64Ly5g2KBKNRgN+uyAI+vv7cSNlsVjs3MrcvkLbYwTh/misG7PGupQrCtvcGp1VrdRQiCIK5CNPPhUPj7hJLn0Ua8ngUCOcqvjxSEnbqfth8DzE0liPhOftYXBgUkiSNF/aE5iMshpvVqh2WbilqQQCaYkSFBeBwA2jmM5+rjlp3dKK6mAUEvjCJY47O4mSgQR0IjwoMCPy+TznCWzogDuUPCgmrJzYTwQriylsbcarGuiYarV81VVX7d+//41vePnIaDJd3pJzzB3PPtao9cVJfXqmftVVV1144SvWnb6BUtJMRJp2JNz7+dClEGOXEO/m4DwtghhICFUbcoA89Zr8ik88kAmlYNs2IoRw2xvnv+dj1Jtf5Cew4jBQoNMqQldCyXIFz95Ras3hZ0tQyOTQlQycbRPohaeeeurZZ5994xvfiFv8pUAqACU+UpgR5wSPEWASPVlFgUZuK/ld/uxAOEztMAxxbYyu64cOHbr++uv/8e8+vXvP2PBwftny0TBq2I7muk4uZ09Pl2u1yWVLBpcvGd22Y1eiaZZl7Xx266c//ekHHnjgM5/5zIYNG2BTckLtEkkUA6VQl3JKyOVyMv6Ju/MK9/gz2yhGIpdPuq7n83lsAQRBOjP1ZLxwtAIB9ikS+IroLq/5VygUoElYMot5NzlSlqTOQS9AUMmcubUF0QWXkiTJGdKcewAAIABJREFU5/MIEuClTRAzKFIcC0Uavv+xsTF5l283RHVfBt0K7YdHmpWOIO0yf24i2j1WcHyC+dgBbC4m0wNAm3Zss4ZHzEDXk9jIuYUg2NeYqefNONJ8L+RCK0miVC4txMIebhl8hqlUrVbxcg6nEtn7s0J1DoU5Ccq6LaULA42b4NRIsjsYp4E9Ym5KYP9Exm/I5hY0fRQ7iQ97gWZIIUiCYiWdnXsFFTuXAZ00kOloMU0TDtvOjFB6BcNYyFl63kApIwEmUdx0KYVh+uCO+80bf3jzjTctW6FXK7si31t+6oQdjK592WlPbZrU9IFisbh1+9aPf/xjN914s2WZ6UVg6dmf0DTTQ3BZYiEcnufV63UMVLwrrAgH8OmMp8SZ1NEc5FfcAuK6LuwSbABzJ4XFsgnqEXzqwDGlAErCFOhgNzA6BCdyMSSoYbP49CqHwRMconODDDLvv//+sbGxJ554YvXq1WvWrEmSZGpq6pvf/OaaNWte+9rXwnWMQQ4HBm8fzl5qSjQkq7HMwuCiOGV7WVYhnA4JqDMAx3oacUipwWqYmhZqWropkCTRk0/+6s///M9/8p8/DUJvdEWxVLKLfQ3D0CzLSPS4XJ1ZcUpfrZIfn9htm0vPfdmqrVum+/oL+/dN17zqD39025O/2vyJj338A5f9b1EUcHrISjucwSATtCRJ0mj+OY4Dx0NfXx/t6ZakoaLCiuxPCjYSyiijfQ+1A8SIMHklwRJOS6w6ZBIIOgJGQ61WYxgi2pXwuXPXAaz8xCaYyRwJitqbxbpJKEt8vA6OiuhrtkWJpQw7jlWtlhuNWqFwlBde2V8SGjQewTLBSBfk6Lrezl/VckZnR2fJ78yidkhm4YS6aYZemKoG23HyuVyoaXqgWTc/+Ojo2l+r1qYMvxEa5qGJiVXu1JaKppuFcrkGcpIkamJohHFkpcdMD//RbsA9ILDAsHKjLBFDySuFpQCXLXmkHVx/w9DzNDvLFgWm8pOgsuOOn1omYPyhRS5moMyhVOEp7H6NATIV9CifSj5R6mQn8foTBOJxyxCV5ZDgQWXJaxRTTqpLv7dkGZeMlUrFcRwsGWUTxHiBErpupNHYhmHqxrat2z/5yb9csjx31rlLli2J+0rFiTFv9an+Yw/vOW3DBjtffepXO3TTuPfeux988MGLLnq1lQpvTBZLurALhmU6Tkoj8GiBqMiC5aqOdgksFZZklwF/UiELQKEzZz4JToroYrSeJAlOimYtOUxRClbZUToflGZbNwiCP/iDPzAM49prrz3rrLOAjOu6733ve7ds2fKFL3yhWq3WajU8r53P53mmph2HZ4vAfMpDofDQPh57TwHqQRLblmWFUeOHP/jxX/zFR7dtfzqXy61/yWmNerlUiJctHzZN3fNnRkZWT06NT02OO3l36bJ+vxHohjEyYh6Y2DcwXPQPaPWav2/v7o9+9KNbtz391399FaiWThpEW2PxA+WOGCMq91KphLsJ6vW6fG5zEfqd183DR4K+azmPKjI5n07RNA3PpYEbmP9oLWX3zReBD/MkR1aHZQZ2YTO3JT9RheNdYS+nNyXf99MAZ2QyplO23ts00SCehM9PzJFrpNC09Sh03Jyp20EQmabm++Ejm54pH2yEo55lRaXImtq3f7xaa+zbMWAZk1pcq9XwsNsRI0Az9NabFWiRz4nQaoTOxxqAkykZCOMAssToaYk806zCnEVLsGn0Mr2Y2JPB7fNQYh2EShp2BCgzFfKz46uTnQTOYmuZ26JwIcINgBMx8KzCG0YkuGoBEMgQTFpJD9wPPI6haZrruohdRU+wL2WtBekkw2uCNT2v8W9f+OL+vfsH+v2x3fuK5ppivnLRq0974L6nfu+9v/Gfv3hgatI4/8KVjz9x8NkdB//2b//ulltuabrWcFQuNbVgVuLyezjDCoUCjv8sspFEUeB+HDYy8HQl9K9krOwmMpl9ypxeJSAbFBU4YDgegBjRk7gtHEpHJU0Gfv3pn/4pNh0Mw4BX4Mwzz1y7du03vvGNQqHAMJRjiG2WHJi88BNj3MEy0DTbMIKpSe9Ht931Jx/+fc9rFIul5aeUDh7YtXLlipFhLWh4Wn56oG907/5HhodPGRpYsnv37uHBZWEcb9tywM33nbb6tOnpmWXLC+MHJmvVquPkrr322nq9es01ny6VUucB+IAgYl3XG41GrVYrFovgnsIliIFiNytlstT1JAd7xFRNmBEXeuTCNkKgBuc5ZJIozsSLwwe2O8+EnHWKxWK5XOZh3ixkjnd+ItUyB+tq5kBa8C8ze5KQrKYKkj5pUidLcqsIOKTWtqkbWvqQQ/qcGw7LO+5dP/t5Kb/McPKRNm77Rm5qpjY42piYdKNA06Opqck4jo5MoCn4564T6EibtLMxX+NCCugujimFXYx/7Qj7uY8k/LmsRUkBbc4Otm0rD9hD1VAkgBR7R3YiM4+KeFs7CVzg07a+72NphUg9WMqIupJyTN4p7k2JEPpD2kboV/Sf7/v061K3yupHJWmuBXKmrsWRtmvnnq986V9PWVk455y169e75drTkweKW/zg9b9x4XX/fPfw8oElS41fPnzIzRsDg/ZDD/38jtvvvviS12qaEcdhvVqN4jRQw7ZtBBwAGbAR2/MY4YgoWgS60ARtETAZy1ZYUdibV6QKnxaC/1mSKfGYHrjxihmd5ZmYa//2ph7QgKs1n8/L4QB3SKFQwJ39WFqg/NwGZ28wfj4UhJxjeHIVlSKph55vfvd7N3/sY5+oTGlOPugbCLUwv+ElA319gamZy5b2Tc94tukMFEeDalJpVE9fe8bBg97kwd1LhlY1wrIWa75Xs+yCloRLlwxNTZWjOP7KV74yPV3+m2v+bmCwiOgf3P4Fb+Lg4KDSy0QWEkt/OBULCyxQgg3BWoKjC8i0XFf0VizRKO0k2a4yqy0Q+QsHFowtlUozMzPT09OlUn/ntjhkJId5zBl1sfyjmqLW6qH/W0FSIkMcZBnMa1BijLNJ+07TTNNJz7jpWs4yo7ARWta9P33EGVqiWVa5MqnVbdd17bUbi5tXlPdt17T40KGDR5prvvEmm2mVxmCRVgJKYa1OB4fv++gLum9RLGuhshEOCuYck4RiaUCVMR4L0Q7Yv5JMUKa2Iyw9TAFIo7AhVymT7iy3IxhFease5vht27Y98MADGzduvOCCC1CR8wQdP0SRkIEEREeZBZs3aJkSLZgROBAoffWEtkCJNFBOM+NY++//9Lk4buSs3IF9O/KOfdZZZ5kr9KmpsZ/8eOzCX1uyZn3/08+MrdswvGn7dLGQO3Bg7Lrrrrv44osPHTqUd51CwTXMnKQXuhXTEq8ExBKBzp4FoghgOSRg2kJoIFs8cYMuQ5AQ+wIJChDze4It5z8JljEi3IRleJwSu3fMxy1ncR7pMgwD7lUcisa4mNvVQT3hcDsgR5anCdwkvE0niMKvfPmrV/23vy/PTPUNeKesWGMZxsiKyujgilqlbjlBpTIxOR6OvHTcsk7xot15a/WuZ8dtq8/UrcHBUpiEO3fsW3Pa0Oan979kw5qnn9ppWbYWauVy5Rvf+EapOHj1p/5qaGiIDFEiZ6niqT1oPUs5lNLSjsB55mOoUsAQ1Y6RghFEDJGYZ3Mtq2MgYLmId8cw47Kwwj3mH58J2WulUsnzvAMHDqxcuboztrIWouikLoJBqZRhj2TzO7fV5VcJlhKCujTgMKywHJWWR3ozcarx0yuKdV0zNfOpTc8+9vS2+LSXFaMgDsKanR8uFQOrT+tfVZ0+lDTGJqcmOAOiaWzDtcQWzJEtIgcV8S8kii4M6n8uAGR1tgI4ZD7zFz+h8B88RyCjPDRKU4ROR06C0gXTcv5VupU0iqgw5jUTmKIAFwe5cWHM+eef/7WvfQ3RJNi+wQVi3MgnMXK2831fHunnjXn0ZqMwg5kUxyampecj2ONfYVzW9HjHs5u/+71/N7SgWMifs/HcJLR/eufuam1PHERDo/rKUw9944vbnnpk7OCeUItqg/15LUl+eNutjzz2aKnUny8UDDPdP5a2CAS9Jf4o1mMyMuCkfMN/wDkJ6hgzAQzTMEwDDRHKCkgLhCTNR+Ir8YR/EXFUGNX0rHKFzcFACIuTAH8wOIEDr2NAuDEMJpgjPI0MNpKZktjFQVu2QgsJS8w0JikMb/n32/7qqiv3HXhmqH9g+chLli1NVqyamhmPI09bvWagPBWMDK844+yBg/tcp7jzjA1nVbxniv2VlavtlStH6vVDcaDn80WvGi4ZHaxVZ5YuG1oyMhTHsZu3Hce57stf+tSnPtVoNBCegtGNjS0gJjW1ctMVC1CxSFoWLk2NCdx41IAzYm+bbifPcLxh3wS+Cqkbe4vDAkHjqW9N07DNunv37nZtUTuhAJ6yxqXB6BGe6pLyoNRqB7yH+Wid0XU4Xo1bPalRZXPpVhvMHEy5lnn7vff5RiFyDD1uWLprlXK5kWG/UqnZJa80kCTJ5OQk5vLn1EXzwJAEK9OSIchHvDNUKIcbGIhND56QiKIIl8dCv1HSOJ3JhpDONpcts3A50t5A73NqoJ8M7gD8hIEBOwSxTbSquxlQbe0kXNKDHgIGtm2PjIzccsstpVIJ+bhKDq8+cXJFBAyPWfm+j6DRXC7nuq5yck0qHdDD7mRnQE8tHMcB2TYHaxX9Gzd8e2ZyanikeOYZq9y8f9EFZ5xxljO23V63bvmKlfaDdw5c+F/ct7zzJeecN7RkpDQzMz462lcuT9922222kz4MhxUnna6SBIYa0MhdaIoAH0sEXkdBucdIoEWCAQONhsGvDJVeYfvcmH8+RIw6OVug3+VIhlABsXZwng+197+gBKWpAWsD2+TAis+J0Hsq8ThWmAMHxamJ/d9bb731Tz70h4fGy/1uv2nNBMnm8f2Tlcnchpfk3NKuZzZtfdWv57dv3ld0+/qKztS+/p3bDpxxxtJ1py8/OLmtr684OOhUyt7609dVpht5xz40PjUyPDg1dei009foulatVny/8fnPf/6rX/1qEAQy0pGOVegBcobRmpz/FlMp02gDxzBgqXyBCcZIhzgb2eNdpmlGozw0IecDtthy0dVlE4tfDMYNexb6v4OdJGnH6giyYTf/lP0HglVYt6BkcoZCApMu15xwdNG+IYZJeqJfT/T0QGmiJeVq7Yd33ZMfWWppuu/VksAywyCnG6V6OcrZxb4+TdOmpqZQnSKn81m4DIXt9CfuyoJIY7gBbagmSJfjpI8O4fgUiSLzgQNHIlpetPGotEu6IRVAQ4mNJoYYs1hv89gQ3w7COMJsctQx1Xbfjeeo+fjlxMTE9PT07/zO79xyyy1PP/30y172Ml3Xd+3adc8992zYsKFSqeA+MV5iBu8FngGi3JAGJLKOPkaZYSriMMuWJMt6kgiTRrVe/trX/61YcvpKha3PbNPC6ahx6mvedMoD9xx89Of7c/aKtetry06Pf35PrVw5NDjQf8ryJWP7U73/9a9//QMfeP/SpcOJhgOcz10NIOlFZyzmkIbdBnEBJhx4nKKYgxGOiRN2FQztllI4Z57LAcamIR5ZzqD3GbSBMYz9ddz8K6HNGaVZVUTsCE5jUSaxqIDzFfMZrrBiAdnE4uMsW0e/QwnCE7xp06ZPfOIT5ekgihr5IX3p0uUDJXNkiVEq6ju37+nvHzr77KHNj1UveNUpjz287cJXrn/m6S117+DBTXmvkQyPjB4Yq0dJWdfjyZntS1c45Zl43brVBw5ObtiwYeeevb4f2Lal6ameufzyy5cuXfq2t70Nu/n0/7dczylcgqjIJaAkqodpiBwAUj6JDNYV0NGYIBVP/pwxYROEAOEBPtD1kH8cEKFeZfnjNsFRgLAhwzAOHjzYAVsYptCW0F1Z5qA682WvUZl0aGLOnzBt4+UZGhkSDSImM9NazVtnEk0LEs3Rkx27d/3i8ccK619dSIxYC5LYSqplz5iyqkkt8Nw4qmlarVaTG6zNyJB0rLREHhxgo2ACrmwAzlgD04zLAkE3Qf/TlsIOj1zkyyayQHqe07I5BjVCSEC7IgMKJiAcoxUChjkOuoh2Usvm2jId+ghqAjsyaNUwjGq16nkeZ9m1a9e+/e1vz+fzTz75JK+6KhaL+XweJirRxSyYnQtZAAmJMatwpCmF+ROiQGUq9amkXC5bWbher6fypLvf+ffv7tyyM6klfbZ53kvXvOL8M8fHDt78b3te94ZVia6NrvT7hrY9dIcT1NycPXDwwKRtWqU+N4xq27b/6ic/vUfXjCRM5wOqV6DHhiS2TM8tQS4dtbrCuiz/lRx6cbC8aD57F0E1dyCETjJwmyXRL+2QlE3LbmJ5mYmx6jhOPp8vFAqNRgPeeMkKtksITOAT8WT+bBMMopK4IXwETZAohfOzbUgpT/yVfPxUCFd+Pr9KnGhxrEW6bYWRdmD/od/7nd/due2ZghON9Bsjg4XRIbdSObBr+9jY3vKZZ60pFWuJ13fK6sKTj+3/r+/Y8NN7t65eVxodWTo6tOKVr3rJyNBof8FeNjqwfGn/9EEz5/SF6XvgM6YeHRjf6tcbfYX0MSBD84PAC4Lg//zYXzz2+BOGaSWJlqrgw3vUz13NQpf483E+Uq7LAz9K5VbXvWSKHM6Q3cquVAojGMJ13UKhAH0ohVAWhrwpo4A/0VbHzjp8SBAw0S4c8xR+VidYicAip8EH+CwZOIx4W6x7HcfVNGNs7EC2JG6L8DyPt1Y6jsPAjM6EyF6Tyr9lLcl2GOvkoSyv8BMLJNzxHYZhoVBwXVdBDwKTRSa19hLN1CJLC6xIM2Lj+7feW1y6Oh4eSt+WLk/l/Xrf/uLMgXLN04YmJnMzk47WX5lOD4Ticr6mhrGfGycS0WZaaRRMIHX4mi2TAZNmUNNiCsA62fM8uWkl90zAKIVdgAz5Vwqzg1pWaYmSkglCYC3RSOpe34JA205DAtLYeduWazalLfxsbZwqRYHByMjIu971rvHx8Te/+c1nn302ZMs0zaGhofPOO++Vr3zl0qVL5dJQckcB2POfFFDZZ7IbwFl6JhBxBdHH0e6pmYmvfPVfCvng5S8/tViMq7UDS0YLv/H6/2Jbxve/uemVr14zMzO2/dGzl4yWXvFf8hvOdM45d4WmVWamJovuYBzlvnlTejuAYUU9Jw0AKXD4SYlnouftgqXY4jVNE/vW2PmiWtF1Xfp1qRmJlTLTsOL8sS0UCngOHcfLPc9T9sKUJtD1Eh8pHkrh4/AnWIp/gTnWfERVrgGoH1sNB0Nv2g1xGJbLlQ996EM7tm3TkiTvaqMjKwt5p1o7sPbUU849b+XAYLx7e+ToqydnnrWtcO3aZXfduv+CVw9se1Lb/nRSHDy0dcvOmfL+wRFr/56wUY9XrrUqlcrgYF+tGqxZu8TSisuWFV1nID1J50VOekd8uOvZnVdeeeXY2P4gCNO1ncAPhMCdzImW1PUwQeHsCUw8GYYrZOU2HLQfVh2Qut7KG25zwF3e3EuVoV09oW5WQHAmmiHnvu9zOY17bvHWm2VZ09PTgIxFOIwP7IBgX5u7CijWQ71BimCo0Q0jJBER14dNc7jkEbuDu5pc153LfeKJVvYbvqbZpjY51fjOfQ8Ulq2OyrX0iqMwPx25UV9oaINOuCvIlavlChR+uVyWYrMQfCBDsqyG3EKG4fjQdR2sgDkLHrKY1E5AFXWxs4QNL9kKtfEi0KWQmf3ZWS10spMYrQL/vKZp69ate/3rX3/eeedxRiQ7cNwXR3+53dO57Syu889hn6FviADwhGEEfynaQoFqtXr33Xc/+uhjtlUMGrptFGsz3vShyVp56m2/fVq9EjSm+usHR09bZ6/bGB7Yof383mcn9k2vWbnGNMJCKTHNxo/vunVq6lCjkd40z+6fjwdYER0KHP1VkldKYflpPmkQAtc3T5yBh1j340IO+JygrGGbL+g8B4owROFecl0X0dP1eh0HuRWGAGfFcJfdNB8uLU5dSRH7BXE8EDkagsAHZbL/UrXV6/V//h+f/8Gt39OTeKi/f8loX7Gvmnd1r24e2Du5d9fB4YHBNacZ+/dNLF+6YstT1eXL8q4bH9w1sGrVqv/69tU7t2perTh5qLZ//x7LaQwMub4X+340MjyYc83du3b6fm10ycj01KFSPrdkeKBpxiVRFH3/+//xmc98RtfTB6cPD5UmllKwOWwXh7fzaQWHriH2eIgawg/9A8iY6tAX82lL1oUSwz6C7/ue57FdFpNTLDMXKFGv13ft2vXEE09glPHJGigHSK+u64VCod78q1ar9FLD4QRvGSykRRAAuh+wwKDeRtM4CxYEQa1WwznWfPNPXoUza046hUhLtMj77m23P7LrYOyOjLiloK4lrhlY/UtPO83IFbTG9umGF/pVzUiiJBqfOHh44CdpWNMisEUhivMOupXufNu2cU1gtVqF1qWCos7BiKbWxVMEcgmntHU8/2xrJ4FsCpPjOFgtcezhVXAMTl3X8SKHvDxXKr6FYwHxUZrg+27Ih4Sh10HazMxMvV4Pw7DRaPT19d38rVtDL9YSr1GfqEwfXLVi+S8f2XTPj39SnYx+83996d0/euiNb1k9Pb3zZz/K7Xp21+pVK+Iw2PyrJzesX10s6J4fz0xP/+DWO93Uq9ybvw5DQn4CLZTR3rTdCopyzARRONB0WEEy8AWRbegXBTGJeatGZpHHWQd9Sr8XvCxZvxcFYBZtHPdFyQSsPuWmFd1L7AjkxHF6z2+5XL777rs//bfXGFrs+34hb08eOhh6xujQyEvPHL7o19ZYSf+Tj+x3nPDVbzAfefDZ33zrS+667ckLzj+94e2dntl8xw9+efZ5w6+++JRlK4orV65es3ZFpTLjeeHatSM7t+88de3yJDTXnjr81C+3rFjZ118ampqeNgytVCwkSZx381/4n//zxhtvTD0iUep/pZBwLFPtzL8HCJygsjn8NOcEnhKDtYShIUGxm2Tm/NMwLKByGeUtwS5Qu7IJpn/wgx/cc889N9988969e2VUDQwmvGSXehSisFAqVuvpbfU44oPpE2G27fRDu3y2Pp8EuMQmqNkQw4f3BOkYQ0Ms3H27YZjY6dOfSagnN/3gR+7gGs8zjDAy4qgaBDkjNE2zsGLNdC3WnbxbGEqS9K3csbGxxezEo5LDsYNLdF3XLRaLuVwuiqJqtVqpVOr1OkwClIRyBrugo2CPwpNCaHPg51FRnVWBoyLQ1k7CuhNUgR7GQEGLYRGAQ8VhGMqDbBwnYNmsMJ5tYYoR5wNiK4UbU0gYhp7nYSlTLBYLhQLKjI2N/fS+nzm2NjqqjS4J1qzNDQzob3vbmzau33Dz/3fvkv61w4P5zb88OL0/Pvvl/WdvPOecl7krV+bOv2DdLx/ZUcqPDJYG/IZx//33N5ovF5IEygFz5pBQ6EKPKBPJUbt5Du22rIKdXRolpmkiToiUsjuofYh/S4BzziTJgM+YSsghYx2wLSgtOaXinBFY5IpkLNpVuEpjER4mPk+GZbHnebVarVKpzMzMeJ6Xz+dnpqav/L/+b69eS+Jo5fKhMKwsXzI6OGDv2bv5qcd3PfmL/WvXWa+5ZPWD9xx89un4nAuie2978n95+zm33nLf+o1ayV3h2oM7ni7f8b1fju/1Duyd3vr0rlKhb2jArcxMF4t5r14v9RV8r97flx/oK01PTqxYNjrY1+/7DUNPw5Iajdo111z9+OOPG5ZJe45b9pSlHnJYdnoPwcq+QMwsQmpwK5VirNMH3ysEIAO6riNiCWcLEERC7Y22lJ+9QkDCGR4eNgwD29/wPSOCyjAMXLuaOthMo1arLV++fGxszDTNXC4HPcYJhQBBGn/2PAEHMzfdIB44Gw+08RQG3lyHa1AK6hzwMR3dDjXTN+988NEHNm01tdyQUwriSEumkrCvvOuXcX1yqq4NLH+tkQuKfeuiOIiiYO/e3YcdMOm7i4vxx5EiG2MAPsM/KFGY613XLTX/cJ9cuVxmIJc8nsxpC85vuUaSzS1muiW9WQTa2kmIe4ck8W1IGkAygcum8UQzfE7cJodplW11IXI4MYNyiBev3+C1ENhdBv54ksV13dtvv31s76bBfre/MJo3VwwVTt+5bXzL05vWb1x+5vpXfelf7/y9PzrnsV/seMUFF08e2jW4bPyZX1XGtvtmMPyaV124fevWUtFMdP/WH35zupyupSR1XXaDrCLTmDNImvyENInNfuptjtRcnJVN02R8RqPRALbQQWx9nhwgHCXB2VQaEBBXrlAhfnjkCAKgjMwFwk1BtSc/6b4GNIqEYjCB+WEae1SuVCqe52FvtFAo9Pf3Dw4OFotFzwuuvvrq/fv3DfQVSwUrSerLlw7lS5WVS5efuf7lr7jwPNuOtj4xEVSdV756pVct5PRVy5f3P/bgtt94w8t3/Wrpvr17Vq9LRkcLF/3amktef+769cs2bBxyHW3vznLYsFavOuWZTbs3rD9l986p4WGnNhOV+nJFt1irV01Nd10XF+4//fTTV199dblc5mFMijp7tid8U7pY+dnDJog2Iv2hf/i8I77Klds8m1bmeIamYiqS94DQAJ1ni52rb9++va+vb8mSJTjLliTJ/v37v/a1r918881bt261bXtiYqJWq2G/xnKcIAg4Oyg6E0vBhegpkgB2YZ7C46S+7+Nsl3KxEPcluK+t6DfC7JyItMQMtSiw/vtXvuWOrEgX6JFXDbxEN6y4UnLyE4d8rb5TL52uJ8VqvZIkcaJF+/fvpwOmM/wF+kq1D/0DJuBfeO7lFR5YKuTz+b6+PuRD9zI2H+sHjnSpuhcI/16BbWsnoQE4hOBPljvH0jC0bfvwkbHm6VXpguoVlh3gUD2hDDcgKpVKrVbDGXI6qHO5HGyjXC6HyV7TtImJiS9/+cuGHvcXSyVneOczE0+9J7rbAAAgAElEQVQ9tm9yf5h3+/fs2fWWt12kJ9Evn3h41bKXNPw9pb74vtv37N4xGdbc7Vv2mrpeKloNf9J2tL1jB350+93KfNYB886fIKBSkkgaBjbfHu4Mp1dfJSYSJq5Wc13XNE1Es/JaanYN6nLIyepzTkONAiZ5jskJEig3CuFLB8ckVnNu/dhWhCSAEHjO6vV6ufnXaDTweHipVMKxUzjYDq9Kk6RWa3zpS1+64YYbTOP/5+5Noyw9igPR/Pbl7vfWvld1d/Xeai1sAoxAgO2xjQFj8fCx53l7PPv5nDnYfjP4cHzOvHkzzwaPEJvxyAZjbEA2CAnLkpCQkNDSrVbve3d17XvV3fdv/75857vRHXzcW9VdXb0IXD+688ubS2RkZGREZGQkW62VEomIIrEcZ4u04+y5kyvpc5q2OjQUHRjsnZ/JRkJq94BuO3pP206GOhPnywKb/MgDbzp72Jy8NDd+cfbZfz189JXZ8fPpzEplz/adsmyuLC6Njo7ks7mtw4OpVGp5OcOzXDadMTQjmUxalgWhJnmef/LJJ7/+9a8DwODFchuwiqRyc/sCCg8SGJIferq0SgM3C4YgPUAEAfCPthp/SPA3q7s12ymXy/fdd9/27dtnZmbglkxvb+/v/u7vvu1tb1tZWdF1PZlKhdSQH0JPlovF4tLSErSD4OGesmb7tygTT9lQ0MQQTSAPgW0M+AyACiWvFx6GUMqSp1545fuvnGTkqChT0ypximS5qkqybe132HKXmD7Es55REavaFN94RSufzV3uiCXrx066XliuozwQNu6VOFkgfIMxBctAu4ArPJhTFAVCphmGUa/XQboKegg06a7XAdxtLLqunBQMjR00OQKmIAfCycNj17A5IRsCzSmI1ls0KFQ78IgBDkqDBzFA+nAmCkoMwAn6xPT09JkzZ1QxYVlW3Vjq6HV7h9jd+/oWFhbqVXLy/Pd+7YH3vfK0cP8HoudPlRan+G2jQ3feM/jmd7QNb5Gmps52tQ9IfCd1wqyXfPbp19eUBjaBByA+oCHXdUEE0TT/fkSrnLSJ9q85HWsOBOBp6g4+BcF/nwjuoIHzAZ55QV84omt2vZEC0Cm0CYZxABgFAvgEERkuf2K8bGi/aRQb6fQNLIN+9GAiRXoAv0BJkiKNP0VR4K7ymtimlC4sLPz5n/95I/C6mUrEI2GlozPZ1dXWN8ju2bM1Fk5k0sVcxmhrFwcGhQMvHe1I7jTr9tzCxXhCVcVItOe1x7+xsufu8M+//95UZHDH7p6fu3/k3e98b293z2p2spqXopEk8Yxy0eBFM79aG93erWsOJW5/f1+tXmUYapkmBJeybftzn/vc/Pw8BGjFbfLmzgu2hsLEeoS96cnFBuE8Oiisw6KAEzGwLW26l6aKaAsBwxKeDaFJFeRjMPPD01dNLdzcz4997GOPPfZYJpN53/veB66rcLWit7f37W9/uyzLjuvfcfEI6ejooJQuLi7CBVXcg+FcEneQmwtesDVULQzDgPA5wB+arH1oc4KltOaCCjZ7jTT1ivXyV/75X1KdwwwrU86yiKEZhiPwZrEcTm3Pe0bSKNr1HC+41CsR4lFKq7VyAyG+E/dPyR9QOy4r1FdRSGhFFDBhRVFCoRBoRCDBo3srbuI/JWNsBWNdOQmIBpgXmhzRBgg5cIiLjcIpJn5i4WDOmmlEenAbBtxdE4OgEJimaRgGWDJCoVAsFoPoTXghCLpgWdaxfNdRWMMwo49++zu1UlmSmXhU6e3p6B/oibdFREW4c++dZslcmbaJONsWMsYu6vml2XveuVdyra6kaFXcqBrbuXV0aX6eZ/0ADCzjvfLKcwsLC8GIUzDe4ACb0IJMtgkzYDmHS++GYTCMf2YRDoelxh/cnsVLB2A0XpPFNHWNvbTmN0HSSu5QtzU/OEcsy4qiqKoqXAyBh1CC2sOaQCJUG08EO20CDCBsghMpAbtobQF/unoCDQPgiNqqDwFuN7E5IQ+CvRb+BSm5Uqng1RKwGMEFHPCjbGLxAP+Va+r+EvE8hxAvl8v83h/8brlaYagYUhOUYUvlQqWQnzp7cXm8JthcX3fbYH88Hul87aVzHOe+9933/esjr3a2xyqlbH9PV6VUHul6V0+PxpnsU4+9XMjNVgrpkwfnjx28OH5uOhnq3b6zvZBe6u1OylyEY0m56PjhYSyvu7vT1gyeMjzDhiMhyhAwOSzMz/7xH/8xXhABsDmOa8qB/CB9gtCzHi3hryAlgCILHqbA0IIXxKDx9ZrCriGx5r9NlNa0wNFvCdaspmkgF2JTTXSINIAF1ku0xmAEaQkJUhAEMJzbto2XkrBMK5zrdbSR/M7Ozo9//OO//du/HY36D9wCQfpMwKOiKJq2JXA8cT2FE2KRiOXYExcv+GHracNLgRJq+1IUy3FB8K7eLyKqlZU1VcSShBCj8QcraE0f7aa61/1Jib/U/D+HEv8GJKHEMQlh7H9+8uVD01WHiygMdSQmb2tRlzV0i5ktzuYKTEqhiXhn2lPFOivxrBBlWXZuZkavW4bpONTyJSd37f26CQNNn0gP1z2WQAVsE7lr4Ef/Il5QSAj+1JTmeR5eLYOnnwzD0HUd3NqC0xSshfkIA7qBgzUHKBl+DZaBRqB6sMFguql80yeW9OMivuF/QRsAXHwARMAEw5KDAQBPQdsd+qvC7VzkOOuN1udZgs+FMch4tVp99dVXfWVd1CPJMCfZLmPYlNRtbWV5cv9d+w4fPHb0lfJH//f3f/nLz//H3/qVI8cudHbILz2zXK3VOCWU18x9+7e8duKSGhLLFSuTrY2Pj4+MjCBKUdtDLwGQu4FfN3FY5O9o8gXrJRaD1hAV4AkBn/BeJmi0qJojK0SEIIowgaDe3ATa7WAqwZsPDulwchFOdHcLwoDDDGb+NKTh1kKxWBQbf47TCAXUiAcRpFh4yWRNCQbnpWk4SN62bcOBFKhiHMcpigKcCGjgmtMHXoMNHDIsyzc0efKNb3zj9YOvcwwbj6iaVot1tne3dSis1R4Pi4KbyWRKJb69vT3Wln3Xfftff2X63nfnf/vjdz3/9PL7P7j98W8s/+Gf9T78VwvJLj0akX7+F98RTyjnzsyrSk4N0UFj38T0lK7T/oHu1YVyV688M1vtHVTmZquhCBONxpeXV23H3xQbl0w9cFSSROHw4cP/9E//9Id/+Iccx1mWBeFFQMgG5osjxQRgL/gJaITlg+fRIPqACgu0BHswuK+Bq4Rt2/AJpLgmHa43WU1zd81P4HLw5B+4NuPzf1gXJhc/14MHC1wzASzC1w8dB7gKMhmAB9fgNZvaZIEr++plNDZCA/A8nykUXdeFQPYsYZjGy5iU0PWe5mjCTOukNLG4pvJog5dlGW4gAf3c9OG7xOE43jNdVvJlGlYQHMfjRXdivv4333pUVcMSL5mUdW1eZRjdsQTTTN69r6RX+7y2yTmnTTxfqSkcbzJEclyvUCj4C5nlPM9xievalKW+ZQkoGZcATCXiBPNxyoI5oObd9IFjX1dPICRw4AMDgRsAOK4mkQurQMsg94CSAJMOywSKNRW+OjAb//UNk5NAEkQJABOgo6O9CkeCQXowEgEwOAxhHkRQMI0tYAJ2a3i6/ODBVy+OnRdFvq29x/O4i5fmc3GVpebo1uFQpGdyeuX9v/CrP3ru9XRxKSKIDuWWpwuek9qze7BuMIVKlS1VFnK5eJSrG44gEstynnnmmfe+970IFXYKlhW8OID5IDTAaRpeywL2EbRIQ3lcD8ElAYOF9Y/vUYB7BC4GREgTNwmCgWWCmTeYRgCAuD3Pq9VqIF5Ay0j0TXwNB3iDANz06iBhnzx58sUXXxRF8S1vecsdd9wBBysQdRNWPixd9FRdDwzctAAPEJIEhH64awO8A3xLoZGNTxMIcFfEOPbw4aNf+tL/YgkTkmSO9fq6kzJPCrl0ZzLieYS6ZHhwhBJzamKJYcPUzu7bOzR+bqpetHeM9l04Wr//F5MP/8/J9/z8vlJ9cuxMWTe1hVmtry8RjYdnJ/MeLUTCUm9fe6FQsCyHGIZtcRzvsKw4MNxx8cJ4KBSKxhILKyue47/tA9qCH1PdLn3uc5+7++673/zmNwO6BEEwTVMUxeBI8YwGEyCSAsGjFA7cE87ZgfbWpCsAAAtAFMTW5bberG06H7gcKDMQdg/EWVwmwSHD1G+6Lxw48FKwp4Ls2Gr433Qv165IaZOtzn+8jGMXVpZ10wipIX/snh8ayG/Ko8QPg7rGXxNmWks0FcBzSdgvgDAw+gAWBn6IuGpt9npzfDmJ8KzAeZbNiILrEoFnTT3/uf/1vcWqm0iEienxYoRhxGqlwMqik8lLvXeqC/nMbE3d+fve3GdibjJfE+XGOyfpdMZxnLDAOJQjDMPznEcax5eeh0MACIHttEKLDB9/QmLDnNucAF6HWhAMBN7hAX4IB6NQDFUmlBAgAbYSgBxGFOQMwRE1ISr408bTb5icFNSzYS5hPE2RWFENAlwwDNNK6zBaxP41tlhKoWtJkjzP+853vlOp1Ab7ukvlNOcltg3eHZKVSEgSGD29Or57Z99S5uzIlsT3n7r0sY/u/+ajL+8cbFeSfZZzoWc47ixWLI4/N1GOKd2eR0ulMkOYAwcOVCqVZDIZhAps78Eg90gKwKNRqQUk4ON6aHoJUsmaswun6fg6D3ixwKYe3ABQ0mpaPzeFmIKABecUDSFw98pxnHq9Did06CaJA4dGbjo8QdhuJA37zdDQ0O/8zu+88MILuVwOCAkeexYEAe79oSUgiOfgoODqA0wr/AsU3moRBHpuahDRFWwzOC6GoSB2NGQ4UqvUvvC5z8/PzQk85zqGxzAiJxFX4zlKqDc5ORlVQr39TluHMrwlnF5kY3J754in13uKq+bWXZWl1YW2yt3bttqlUv7UEfqh39h96UI5Hq/2DfHLC/W+/naGoQztOH363I7d22u1OUIiW7cqE9PLnGAp0oDnmjwfKRRzumZIIdnziG5YvqmM403bWlhY+MIXvvDXf/3XiUQCdjXwcoMVjfQAIwX+CHoFGEuCEUmgMOAc9OYgfmA7xHw0ecIdZvCAbuUeQUoOYvi60kEwoCNYiXC8DosXNzDYLdbb+TbSLzQehBwbR0JqHelGWt5EmeASIAyJxWKU0rmVFd12wn5zjP9ArP847IbiKAZbg2EGcQsME7gr8D24hITDB/EaKwZb28TQWquIjOh5DsvyrCAQ4jFe3eNCjzxx4JtPvSL3tDsM5VliVHVHYF2P2vUak8+YZc+R47Q853Xu5ksxmtMUU6AiSxiuWCxWq9V4IsaxnI8pjrCNpxJRnkBH4aBXYhAhwfRNFAdbB35dOUiZMBFIirAQQI6HMijZI5OE7Rv2FBAP0CqBrSEwweFj5iYSb5icFJyz4PDQOAwcEyQG2DwAm00jRykSJQlYCevioqG4gMk3k1l95dWXJIkljMuY0d4tHZKa5cQar4YkNrRz587JsYVQ2+T9b/v1U+ccQaYOsffs7zk1llGkzuOHlzwq2FTavnXPwWOnGUX1SF2NkqmpqZmZGZCToBcEGDzNgdHjQgWxD710AWzcIYIiDo4IGgQE4jrHXprcD8ERBM2bQSxhg7cigfBg49A1iG4QthRuI2LIGVwtyMuw7k9PAraZRCKRy+UWFhb6+/thCjiOq9Vq4CoOzqHIC2A4YPmHM194wAEQgnpV0xihI9zaUQ0IIjaYbqoOnw2S8wSe++Y3H/m3f/s3WZKpayaiicGeNpa1wpF4Mh6xDX2gp9Oq64VCulxkB0dSb7t34NK5zJEDi+++/82nXk8XMjbvxetaQeC5asH94ANbxi+OTV7kE53l468ma1WOcHlNs3bsVPbt7zhzZkIO8ZWyJYZ0y2D23bnt4CtnenrbJSlx/uJ4Z2eb7bj5UpmhxKWey3oQguupp576hV/4hd/8zd8Ekyru5Wh0wdM0MAxIkoS2OlhQuBEihQeRA2iEnOC/QHLg5weqBUxHUEYJtrMmkjeRCfCAThh8jxMGhbsFFNtE+zAuoMAgHQKWkJY21/L11WrMx+XZafDeeDJBGbJaLpmu7//AMmzjJpd/IWy9Q7dgj03TgZ9B0QF2DdhKsQA2Ajmt/2KBG0o4viSjEZf3OJG1Bd46O53//N//SGzvIp5LeIaTRMnhS47pSTxbqY8M9s1Wa3rqbb31sYXVg666x5SnYrRaoHFOkCzHSqfT/YN9HnV8RF55BBcpBN0u8SUMoH8gYFwLMCIY8o0Q1Q1h5kplgAqAQZ4PVAqfQbDR9ozzC/DDwHGYwGNvnaF0bb+wKyO6hf83GWNBPGrEoDMwBj9YWYTGHxI94guAQ3QHYV0zEwrQRnwjeLDs0KFD6XQ6nogyDN2+u02QbUmSYpGeeLTbdt1CabFvSKbO7iNnDu3al/j2v5y59x39y2ljYX51YiLLiaGaYRbKGZdWOrviAsvFopF6WSiXywcOHMAzYJh+iH8PcQpgDxBFEaLD4VuPeF8ASSc4ovXSTTSHaERVm+d5IClgx7hPr9kgEuuav246M9gsUDYcN8CLttS/rO4/DgCnJ9DLVWZw02DclIrA8c+fP1+tVj/2sY+dP38ezkfK5fJTTz314osv5vN513W1xp9t2/V6HVx3wSsCgotEo1F4YxIvIeM6B4EAaQDwAKzhenFi22bD/sqdO3vxi1/8vGUZtqlFojLHOqVitpBJF7Pp2ZmJXH6V5WiyPToysjUWj0xeyMzPTW/fE1Xl1Es/OvDW+1IrK5l33LdjYuzStpFR6tTHzuSXptgP/tro1v59XZ2xvXdF3/O+e3bsHJyemZ28pCWTyZAaz+fTtsXG4/LibEYN+d7Es/Nz4bD/bmg2V/QcD2wqMFhBECqVyl/91V9ls1mMLlGpVMrlMoSEZVkWLjFEo9FwOAx3+mCzB84IagayV/gJVW3AbevsAycBwQjPqaEWarGttW48B1U7mGWI5Q1Ht6bpvxYM6wWHc109BtcaMgdURLHNYLHrav+6C/vyz48va1FK4/E4YRiXY6t1zV9N/mz5d2t88v6J2HM/0RXM6U9kNT5gEoPHr7hrAFUE+Wpr9VuSQylPfIcrx/FKGvOp//aldFnkVYkjjD+9jmObuuNahmXU8hV1eIdlMna9Vq/p4cwF3oh6XLEsyK7rB1CiHjM3N+dzGMbfqQOI9AFH0oWTemQmsAsATiDuKFIUMpZbMvCNNbrmVCKtQhtQBvgeTihooWAyxHd5g32uxyGDFBgsv/H0GyYn4YELOO7ApVnTNMFzGW514R4PKiNONu616OSE28w1McKwbGNp+TcyHn/8cZ9oTb29I+VSPpevLy9Xz5yZz6TNWKyP4UPZYoWQ7kyluudOSaPivl13PvnsyYGB4dG9/YIS7uzu6ezp1jQtFlVNS1NVmeN8D7sXX3yxXIb7nBT8+TXN5wg4NHhqAJgXyotNgiBytCDdtKZxpvE0AWxv2DjGcQFzJS4h7BdbuLkJnAhMBNsHaQNEN0EQVFUFfgcb55pVgtXf2LTruqFQ6Hvf+963v/3tBx54AFAaj8c/8IEPDA8PP/fcc5qmwQkjpRTCvvthY0SxiXE38QuYcTSdIqfA20M46g3ip3H9nhia+dBDD05NTSiSwPMMJbYgsgLHtLenOjs7Vf9POnfh9PTcfLlSa+uM7to9urxYOn/h1N1v3mKZ3OmT49u3b332icn/8MG9J04eSiVjETmyb1/XmRMnDrwwWS5UJ8cXnn36yMz8ZCwe3Ta6RdO0TLp05137ctlKMhUuFiqptrium5S6fX19jmUwhMRjUY5nggYhlmVnZmY+85nPlP0XTvy/aOMPpSLkgEi3TYwVkQM7AZqFgvmQBuyhJoMFQLXAc3/YX4OyO5a8kQQISbhdocyEmxxEhQZr+iY6QkQ11cX8q+CtqcrN+vQR7u/5l/f5SDzGCjwj8JcmJqAL35doA53hEKBsUEKCOUVe59+kc/13P0CHCe4X2A/8GvwXf7qRhMcR6rIi9TjiWILyJ//t64fP5USZYxydk0WRVcJCpKDXXOKGiCBLkYkcYdSEmD1aiQ276SkjM+MUp3WlnWE52ggBMz09DfAw6xxLAqNAzzwMoAXoQjKGi+FNPOdGRrq5ughAE+Yx//Jgr5ApFGsSCiGYO1yMRY0UyiB/2Bx469V6w+QkeFgNX4QBpQruk+OOjigDIoCJB4SipIn4vYJYBnPWGzPIEIuLi4cPH3ZdD9TTyamZumExrNLdO1QoGwdePxaOJ1lR7h62dK39xLGjPaPk2CuFZHd82854urgQipH+oU5CSEiNz89m+7oHTL3mejYh5OjRo+l0GmK3Q3CpaDQKO2XQRQkAhjUclPOAxTcpwUEeEUwjNi5btgNjxnaAWYBUDlv1eu8qBFsOtHRDSRgmNAGbE5A+mI5hs6TUvzwMaThqaYq9dEMQ3NTKcJba19f3J3/yJ5/4xCd27doFxGnbtqqqW7ZseeCBB3ybSsh3UG260IQzDpMexAzOY5C/rzcd6+UHBwqHvCxLfvjDHz766KPEcwxDT7UlFUWMxsLd3d0hVWVZNhRSunu79tyxh+ekldWFTLosyPUdu0cq+dC5c+fe8a59cxMuwxkjO8mJI/MckXr7k3NzF2uVslZM/dKHe/fe2Tc03L9nf+qOfXdyTOT0qYuxWIJ41NDt7u5O12EcxxJ4sVqt9vb2FgqFcrmcTPhrwb+Z3wiJCVcW4Mzr61//+szMjCAIiqIgkcCgcFHjegkuGWSmTRjAfFwdwRxAI2Ie6oK8gibYYEiLYOObTuOeDWsBHAqhF/DYgwD3EGBm09ISogvgxFEH/R03PYTrroiu2Q2KD4VCoihatnvuwgV8vMD1GmLN2j7cfodBmkdlD0JvgGoBxgacU2R0aE8ChoPAQ0kgjGDjWGBzCYtxWJYhpmvUil/42289/fJkKL6FYWsC8QzPYV3WKOu8KuumUUkXRoZHaVGyY6GQl2W79sneXElbCXNdxKn5rIMyruul02nX9QU+H0Vr4QfYCE4xsH2MKo42GAiNDa+yAO1tboA3WAsVGMQ5QB5khtAF0HCwGObAIuJ5Hk4kwAccnq0MWhYRVGwEc643sSE5KSijQegR6AbIFDUzHDC+ZISTB+WBd0NMIDhPVVU1EolANGcQX5qqtI4HEIojb8Uv5gThQQAo41mWwXH04KsHpmZmOUlQI+L88uSW4dTItmTXFlFNWUqcjGzbcvjE2URX39TsVH9Pf66avPvuna+ePP+enx+4cL6ml8jCVPGHzx5aWihGosnu3q5CuSApIWBDpVLp5MmTGOuodQhr5jSNq4k1BD9RB4V2cLxrNtuUCWYtWDzg7Qim/qaV08RnmxrZyCdOULDwelwJph4UeggzAyFMIRBckPygtauDB79ek5CCgG08DUI82kKwIvi4gLcZhP9pLYOFWxM4+2hnBTkAFwUkWiuiPN00gw1+xK+urn760582DI1SoqgSpbaqhqs1bWJ+dnJhbimXdhlW0yyOCB3dydHt71zNrJbKnKapQ9u7qhpNZ+w3v71/dd7hSVgvM2+/P/z046fuv/89DMMJIWVuzjnw8viFE6XFmXo+lxYEu60t7rv68Y7rWdVa0XLseCppO0QzHZ7lKpUKYfnOrp5yucoQjudZufG+GwzKsqxqtfoXf/EX5XIZcuD+IBASul8EMYBIW5PYmtZFKzfAXoIlsRjsNHCjHh7MbsJwEJIgQYKdI/jrmmkU3cBeGPyEC6EMw8DeFpSWmqi6qV/8NTgiYB3BnxAezMScTSeCTQXTECDR8Z20G7EpXNrb2+vxrCfQmYlLLOtZfrwhViQc44cHuhx66CdaCMAUVKLgTg+wsiD2gqwyaE8KNPPjJHaEiR//1kgF80HkggKXj8Bo446eby1zCfE84noWb9t5w6k89v3zf/etgzWJqYj1Kh9dZfiIG2GJYBLHqhRjDPE0t0QFyulqeTrCU6Zg0j3vkpQ7y21tbCkr1JZ5aoYkYXZu0o/5QnmeleDgDUACqvAaWZQQnWGKhl6aWyUe8UEhVCc2oR7amURRhNDYcKlW0zSIOHgVqm5SRYKoQCwFKRAzr5nAppoINVix6Sf4DK50sJXAyTvP8+FwGN5LASuA2fi7ir69JuTB9oPArCsngSc5MmuGYSzLeuGFFx588MGvfe1rcFsH4upC07ABIyXBdgICEwSDgYkBN15VVcE/o4m+g5DdsrQfCJFQ+uijj/rA8Hy1Uu/r7mnvaCOUt02eMIqsSgxnRqPhicn5/r5dnKxVarXJMTPWWVLE3qmZOY+6u/YM79q9RVHZYiHT3pEslUoNguPgIcAjR44A/ICc9bB/y8Z47YZReYVJBP0VJz1Io+vx/TXp7Nodr1MCUQQKhyAIsFvAXSS0skBtBA9gwFUX/BUbRElinZ5/trNRiISlBCIa4uFrX/vaqVMnXM+Np2KSJIBbXiqV6Oru3Da6BaZ+cWFpemqWOiGXWR4a2bK6ZDlMXla4WHiwWs8WSjTaLsYS0baujgPPse/+pbazEy+/9ko5HHNMnYxu737XfxBGd3YYGuvZkWxuVVGULVu2LC8vd3Z2Li3Oq6rKsLSvr6dSLVuW09PTs7Ky5FAnEol0d3ezgu88B0ddoVDItu0nG3+WZYGQBAY5YBo40ts2YWCBAFIEP48mOgSOjN5juFJunK3BERLc1cITE5QAEAxYCLAKcFHcNvwEO0KBHoBEKw58Xl6MjH+5TZIkUAbOj10sV2u+bQAaYllK/NMAHGbQ3ULXddCa0A4NXhlBGG5iGpkbQA7CBJwIg3pJGOJ4ruu5hGU8wrge67q0Wq55tmkw7iunL3zmS48YhqywLMfYDC+0sckaqbGkbLK2xSjlrN2/Y5dbrlOelIuVstVrVQ+60mgypMuFRTYSYwSRYVjDds6eO1gk46MAACAASURBVKcockMD/wmjGgyWIf5VQdMyv/WDJ/7L//ivj//gSQjdzRJGIAJx/fNMZI9AIeD+AVswpRQi+4NPcCs7hSrAk9FEB+YAWI9IdVgXUXcTp2PjTYF6g347IBQC8UA0ZmwKh4b0hnJhq+y4rpwEJ0QoshFCTNM8fvz47/3e7911113YJQS2Bu0flGkgbljbGEEYHkwFeRYiWwBzDG5mQXBxMDc94VM2YRfnFo8dO8YxLM/yXZ2diUSyWC4bFtU0wnJyMhmPJiKxtrgaihsOkyvntu7cfv78ytvv2/Hcs8fUMLP3jv2Z7ALL2/vu2Ckq7PzC9K5dOzRNZxgObMIHDx7UNA1HhJR604ez6QYR8xDJEDgy+noHjxtgkbQOAVfIpmG4ekXoF54UgPXcqgAFaf3qrf17/TU4O8FwEoSQkydPPvzww6ZtybJYq9XkkJpIJIaHBy3bEAQuFAp1d3fLaqi7ty8UjY7PHitm+c7O7tE98ULWXl2tdPcLq6tlNpTLFurHT8w7VLSpszAbWZkZ+j8/uYtzY9WKubpcOf5y5OjBHM/L3QPOzp07x8bGIPoR8agfG5NjLl2aS8YT6Ww+kYg5jm808jxPDcmNFxj9hyNAM67X6xBh4TOf+Uwmk4FY/xhIDKYPifbWzWZTF7hD4DMgYNhHTop8Elhl8FjwBoGErpGpgqAGm1NTL7gSWxfpDcKw6erBhck03Lh92Bg/jqQSUv24D643t7RYqtV9txt/K/eo5zVccH7sOAEytGVZlUoFJwL9LzcN25oVg/MeRCMQJwi+sLWBHcshFsMyhOMs29V03fM8XTdj0VgoxB06Ofl/fepzWYfn1DDjCbbueq4pVS0pJBU9vaJVwpxia46kRE2T2E5NlSJ89z2uPmWXaqxXrxUKjG9iEyjHe42HhizHajh3+XaiIGw4EMuyvv3i04cuna77kSgZz71sv8M34aAW/AvSHhxKgJEJznMcx4Gg7WseXeG2Dp1CI0Gk4YwHMxHC25bAnQvkabgvBaI5WG3QIoBLuBW21iGsKyeBQgAVIFxmsVg8c+bMY4899sQTT0AcW9d1Z2dnjx8/XiqVKPV9lsE87nleqVTSdR3cMGXZv+eCOhZQPAJ3m8VPlvEDUZw8eTKbzUqSpKpqKtm2vLiUy1cWFlcXV5bPnD07ObvQ3t0bT6Y8zrswcT7RvoWyHBU1Re1bzWff8o795YqphqIMKxqW75C0devWcrkoigLDUNf132qYnp4cGxtDWX5N4kYMvFEJUH+RAcGBF2SiwITEBJSASsMthbmJJECSAwcvEJg0TcP10ATJmqhupfumWj+7nzi04Gms53n1uv6FL3yh8YqW/2JJNBrxVRfqnR87X9f1bDa7sDBXLJd9biJIXd39PT1d6Vz65MmLvEB23zG8uJBeXi69/+ffdfTQXM9AjJNIKjFg0zR1IjvuNH7wvcKhV+aHtoaTHUzPSHHraI9t24deKaTT6V07d6+spCORSLlcjsfjnu0MDbRnsqs8z/QN9mXzOVGRVFXWdb1YLIuizxZAwQVDrG3b58+f/+pXvwqGMYysAZH338BpAvdYlIpAvMPV0USxmH+9AK+5vvAuHpw6weWVVjpvzbne3m+wPIproB9epsxGnEmOuWwo8uUkSY4ovpXR4/mVfJ4S3yTCcMSjDkv8AKTQjud54KHh+4CGGg/oXrkJcYNwbqQ6jgWdZfFmJXB1nvCe61im5lFHVkRB4BTFPxf7/suv/uknHy5UUyQiVmjOIZLARkTGlDirmrVqckrl5erizMjW4fxSpsJT0awyRKzxDsu01yaeLxZ1Eu0NsbZLGI+yDMe71BsfH2d8kYyD6AAA/2WG3IhgTiktaGXC+ffiCKX+EzGEGLZJWH8cON4ghQRFbbSbYrBH3AWQzgEhuImjSQkbDyaCnQbzb0Ma72FgX6hvgMoRHBrqPLhgYZit8K8rJ4HACAZeSqkkSe3t7b29vb//+7+/ZcuWsbExdGjVNO0rX/nKiRMnCoUCIQRC8ieTyUgkAuIUTEnQEosGrp9YUTiyW5nwyYaSf/zHfxBEjhCvraNtYmpSlKXOrpG+gYH+we6u3q7VdOH55w+GIrGOnmRXf+fcXHp+MT2wNf7IIy/tvmPItMm5sUunz01NTC+9euAILyjFSlk36tGYyvnxYHzarFQqL7/8I7AtwRn5rRzTZtpG9RcqwxICX2+8eoP+kughgWQUXHKb6f6qdaAXKBI8bYE9FcCD87imaAJowAsS2FW7+pn/scn6DToTwzCHDx9+4oknCKGqqvIir+k1TatZltHb35dqS8aTsXgqWalUpudmc4U8YbhU28i+u/vCsejFsXRFK779vnvHJ2bOjV36tY/8yvHD8/e/7x0vH3jiAx98j24W5ic9QTR+4+N3dHb0r66WalW5Z5jEE213v22bGnMnp2f6BoZYTqD+mw1CrlhQQmo+n4/G440ne9229mQkFqnWK7IqhCOReDwOKhYGnRJF8bOf/eyxY8fwFBjsZEiEt3POUHABgkcXOjgWBP0bIn2A6zfaezYHZHB9QdfAwUFVALUYzn2CjhfA+oPEv7neb6QWzg4Cg1rijwFrGI54hk2EIrIgCopy6sKYLyf5FieP5TjPu/zyJjykDTdh4Yk6hK1JJMX8m5ho3SaRI8GLgbqu1ys6RzmR42WR4/04mcTy6MuHDv/n//GVYj0mKV3Vet3iTU/0t9CQoFRZh2NUtuS5hXJnR7vDKR4ruG5RsIju2mbuUt/gO3tTMscTUYlVaq7tP33nS42U0hPHjjfIrxFr6so4QWRBshQYoteqjqH7Magatwd5QSSMf7kb8Q/jCiIQrERoMwNnjKDLFyjMth/N4PIfNIiOX8HWALTWnCsg3+7/ARIAGPY7eF0OVG5AIOjbgGeEHMeIEK8rJ0EJOJKEN0MIIfv37//85z+/uLi4d+9e6IZl2fvvv/9P//RP77rrrra2NrirAi9bgeUcJTW01MHui5SHoNyeBEPI/Nzc8ePHNU1LtSez+bwoi119vbbjhSIqI9BUe6qzu1eSo88+/8LA4GAmWxbDJNne3dbVE2tL3P3Wu149dMom9lve/p7BkZ1bRneuZLMsyw5vHUmnVyWZZ1jqutR13SNHjkDInFak356RXr2XVl4A5YPmJZDNYb6aJJL1ql+90038CkI2MF/QNeF1T5CWELbWuFBvFIFtYow3UgU1PJgR0F6KxeKnPvWparXKMMR2zFAo1N7RsWvP7lDEDz7U2dUFdzz37N01un27Zlgnzp5ezeTrltneFeEl/tzpTK6Q+YUP3XPxfG55uTK6s+uF5w/83HsHnn58slrPbN22RVboS98vffuRl6ORIcKIzz1RmZxaOnjwOMf09g8OHzj4ekdXl26ZkqwahhEOh1mO6+7uXl5dAdNRtVqVJCkajZqmCcoVz/Po2ggOmA8++CC8cAeTfiMouq66TasVBZemRtB/CM34qHhsbmkgj4aOsF8QvwAqjFwArt8QQSAYSLYJ+CaYb+kn0iHuype7a3gf+S+4XTFsMK7XFUv64xK4Y2fO+O7dlk091yPUNh1wV1AUBQ6DUExE/NzmdY37F8b2I4T40bwiId+xjmMdwzQMq6zTf/zOD/7jH/15XkvZguQRjyGywKiC5IkKNXW2wvAuY6fKpVqxGOrfplmKzngxpy6Euju62tliulKrisndPF+SKnkv2mHbDteIv+nazvj4WAN7LLkSZ7Jpov13ZA3ftTYaCvvP7jou8QhDGOdKLC4kKpgdcH1BCxneHYHB4hYARA6WVJCoIHwPXJpDmsSZvaUEtsHGQe4JwrYmeEEvN3QBQtJqrXK1eNyAGnhghWVZRVE+8pGPmKYJr3LiG7SgN2DcTJSfML9phABiU+Zt+7Rt++ixw7VahRNY3TJCUbV3qMf0HFkRypXi8EhfqZjt7O4oFYqVuvzCS4f37L1jdu5MrmhXa2IkZY1P5DOl5V//0P+2uJrPlDOpVOcAN1jX9aXVkiTw4UhyaWXFP4an5OLFi5nMand3L+ChFfW3bcjrdQTCB6wKAA+XH3ziVGIk8RvcDNaDBFXPViyBso4UDCUhTCXaflGKgvdhkBdgdzguzPn3lACuB5MF7rTf+ta3Lly4QIjvMytKXDisKqpUqfhXDTLZPHFsxjHisfZypSIIQm9ft8RL07NznCLFw13xtiRhi8Wywa+WduzZurDgDm/nMznTc0cXMq//p0++66ufPdczmOzfmW0f6Nmzf/DcxUvb7zZVtU1SBn/0/IVITN29d8/FSxPxRGpqdm73nr3TM3NgCPQPDkRSKOWr1Xp7Z5vneB71nxAWRVHTNEmSgLfAZH3ve9/78Ic//J73vAf4TJPr1a2bvlYKhL6CCwSoEe4zAvJBTEfvAiDa6wXyKl0HzVSgcMJCwGuAAAwoZtfb700pD7fzYGHiQHxqbPgR+ydrDR9tjmEZSrtT7faYQXj1xLlzuXw1KfkFXVbkeYkX/C0paOEI4j8IKu6FwcybmAacw9UHOAXGq7g+hMQ/5nIdh5clTWe++d0f/PeH/lGM7CKcaruWbtcFThJtVhVEzTaJILmGwTnVaj3Xs+OO2ZzBWEZIZNkav2Jz7YopR/oLK2fY8C7Pc5h6lagO4/mGIM4PL0knxsdt2/ZvXfimN4qkCHRICS2Xy5IsmKbhNu4V8iLXuGbo8TzrWH4MT/gD7g1pYBdXfvH/D/JYyA/mQMgiURRBnwFzPrhqQbHgpAebvc1pvEAG/aJ4DePFTxwalG/FRhPY69qTYKnDbWdAIqiq4HIEbAuYMpjgQChDaBBrTf0FPwFoBD340y1N/+tjjxdLVVmWJEVOdaQoSx3P4QSLE/h61bEtSjlv555tPT09hXw9ngiHwnFKDELUke1tRw7N73/ToGExi6uz8VRMt+qcSBzPsW17x44djfCSRBRZSsjCwsLMzAwssI1g45YOubVxWDMwa0ExBRchyhYgSN3q+EZIuEFQQeMJ5gApIlnDBgz8CyDHACEIf1P1f2efsKPgNTeGYTKZzEMPPVStVkERDIVCtVptdXVV0zTHcWKxGJhAzp8/r+t6uVKUZLlarw9u6ajVyMJ8hRGscJxUygxD4pV62hMz1WpUlFPZ8tKv/8avPvzZ8dH9kW27ktlVRdPY7zxy+OyJ3MxU6fTp6bkZfXTHiChL6dUsxwmUMuFwGJ6m6e7rP3fuHMsyoVCoXK7F42HP8wrFomlacJYUDvs5uEGCbPSXf/mXhmEIggCn/7d54pA7NfUbXMsQTRQeUQHPOV+z9/zL2E21rvnZ1CxyRSBjkI1AH4AcjGjPsqxhGLVaDZwcrtnRLSoA7kS6rgNBgqEX+gKBA/tlWTYVjRuGwfLc5NT0wsICz7CCIDaUHAJkgM7arbOAmFmTY2AvN5iAXjzPg5ixkiSBCRabNTzXN9qwJJvN/+c/+6+f/eLXPanH5Ltsu+hwDJFlwtKEGGbrsm3yNVJTrKpXXmUHU7babjuc5xZJOsvLfXxHV3kmJ3bvJXY2tzRTqzNiNMFrabiUTTxfKpqYmNA0A7oG9P6YYxPm8uPiquIwVImEqW9C9peSfwDn1/b/oC5SDmqbG2GSwSkAxwzABpxeYVzsVos+4uoNTMDmhUZZ/AScIC0hHjDRBPO66xmXOmIZ91TYq6Ah+BUO5oDEYQPG/Kb+gp+X5zAwkcFfm9I4W02rbj0eitwKCAvUHYZhsksrL774EmXZmmF1dnYS4qWzqyvZ7Nnx+enFlUPHjkzPLWQylbrubN25NdLGP/z339yy9R6X4+qGV9YckzH2v+mdZ8bGLpxLZ9LmqTNTFy/OmLYXDoenp6dZSkKKQjxfjdI17cUXX/QleudyUJCmEa35icPEX1tzcJEEJwLLbzCB0wrlg584L01NgdkfAjqgfwae70JhFOfXIzgohgTa1EXTZxCqpp+aPsGBQxRFvLthNP5w9mFQTbWuDmRT4eAnkHrw3+CvG0+3Ti7kgAaC/2IiyOBg1+RYznEcURT959KoZ9v25z770PLiUmPX8S8tGK4pR5TOvs5kZ7JroCOVjPMKn+rrHNoxSjlpaSk/PTMfTyYSsWQ0GrfdyvysNjgylOrkz53K7rljkJNzk+N5JcJXatzJ84cSnbHh3cp3HhlLtCfae+Ije+T3/NLIz71n9/Y9PTYtTMxOWpy+bd9wsZINhRTfjaNeJ4ynKILH+k6plVqdZRhBkl3/+QYaCqmKItVqVV2vAzLRy4fn+XPnzn3xi1+0LAuCMYIUtUHKucoUIGeDMus1uOYqaCJI/ASrGMTZtyxL07QmNhWktCDZBFV8hDnYNXaBGgLk4L9wGUWWZXDzCnaEDSKjQHqDYsHGg4U3nsYGjx8//tWvfvXBBx+cnZ2Fo9LLHtCeJ0mS72zTcE7yHVgdW05E7YrORBTXds6eOGOFVIfwMhVcxvdPCvYeRAXkr7mQg1Wa0ghha/5P5FCvEd/Jv+1f17W67r+kRClVVT+SvuuAqOG4nkGITYkd8hzXpscvLP/ib33y6aOLmtStE6WqG3XCcUSPM06YC1dcoSZ6jEgFg3XKZTO8VaHDfI24eka185GwmnYjqrFIOd3LT3S1723vENVUW6VWoEKH41RFiXGpx7D8xORkLrfqr33Xf/Cn8aIJYSnrR0nyPI5l0quLjOGWbZP1GMaiDO/jkKXUN3n9ZFwApIRWxP4ENgIfQYQHqQtkDlVVm27YGIax5paHVn+gf+wB8oOfwV4w/wYTwVFgUxun/58gSqz/U5jAeUVH/cv7BMfBaHEaYGGIoohY8DwPTPr1ev2FH724kklzAt/d02MTbyWTNkw72dG+dXTL0Mjwnv13xJKJo8dOXJqcoiy7Y/eekZGRxdU5Rexw2cLEBW1oe+jCmdWzF47ed/9bu/tSe/eN9g/3lMtF17/UyrW1dWiabtsux7OW7R48eFDXdfC9WA+lTTSBw8TymAPjAkLHoUH1pkaw7i1K4P0In4O4Lrw8g3cHADaclGvC1rRObhxmeO0IDGAw9YZhIPaC7SMag5lXTwMLgFNmGBps7Vevtd6vOLlYAHKQnTVRNc4+FPOjINo2nLmwDMsy7MmTJ//2K3+HgAmC0NbWFotFIDpRQ923Y7FYKOQ/usaw7J333B2JRF4/cng1nUm2h7fuGK6W2JPHZkd2xtR45cXnpvbuuj/eZm8ZHc6tMuHQcP9W8oMncm+7r31wa+fC8opWUScv0lPHK+klL57s2L5zwNDtpcXsnn13Xrg0uWvn3mw2z4uqYViRSERVVU3Th4aGCCHVek1RBFmW6/U6pT8R4gXcSE3TFAThn//5n0+dOgWiEhwqIX6aREZEIEw03hoBPSpIhCDBoBzT1CC2s8EEtgzbBijcuC5Q+wdKg0/gYCgQrEmZ1+wd+0VzPkSOMQzDsqzgVgQkBOWb9Olr9rLxAocOHerv79+9e7cfFov1lUPbtvP5PLzeCAHW4YFLQkgqleI4rmpZoc72lw4ctG3X34f8iC037Q/xA/OLKz0474A66JJ6xDJswzC8hmCnSDJs/y51KPEE0ZeTtLpOPZYQwbGEukH+4ZEnfuvjn8ro4ZIdYpSY7fjhkUK8x9mqyCQZgdSckum4gsOQ8qrLygkxVGaYrKZG9Yplzy05YlRktcxqauvd2tLzhAw5nO2ujHPdMdFy/etQlOU4AVyCDhw4gE9EX8YR55uMfCqiNJvJ1/Saresg6t00JG6gIcQzuI3iVYNqtVqv103TRJkJaQ91IaB8yEeKxfV40/eFDYxm3SI/M3IS0jcOBfAbvLiIruIMw2A4TnQbhz3m8X97gpdETuQYgZmdm0u0pfqGBkORqMd4kiK61BncMvKme986Nj594LUj7R19oiIcO3F8YGS0rSsZjw1v2d7xyqvH9945KkcYy6va1HCpNbJ1xA8sHo+tpLORaIT65+v+2fCZM+fm5xcR4DUTuIDx1yDfhDTyOLCKoasalmxtBFu7RQlAPjj6oRtgMFou9ItEj7taa36wzM2CFt300A08iMkb6QXeK8XNCafmRtoM1kV3ZmAcyFyCQd5gLOA+yAsCJPyYh67z6U9/ulwu264jSQLLMwxLNE3L5/OLi4vZbLZUKi2tLE/NTE/NTNfrdVGRS+VyR3fX6M7RpZWl1dWK7Rp337ulXDFeOzB+95vfZFPt6NGT4bj43X85+isfuWv8Ur5WlXoHejv6I//09ScrFSPRpvChik0ynT2xS2Oz87P1eKxdFJXFhdX+gWHdsARRbUt1nD03kUwmTdOORiMu9arVKvVIMpmEE0CWJTzP++/MSRL4JnueB3dB0un0Qw89BM4QrfIoboHgJARohEyYdzAqYzEsgGJoEPPI8YOZ15UOLgrwVYL3WNDm7XtoNf5Qyw9a36+rr6bC2DXGW3Iar4OBaQdlMqiFfOOmDBnavHDhQiwWYxjm6NGjcHVR1/Vnn332W9/61ve///1MJuN5vi0EdJiBgQHiMp4oOFH1tRMn58dnWcoRnmsEWmoa2SY/W1kijDqoZoPbJXAt07YYzr+h6Z9WsxyIetT1HF8wYh3HI5SooRDPi4ZNzlya+c0/+OT/8z//wZL6SnaMyJ0V3WQ5W5U03gsromK5jmYSRuBdN6sXF4SqG2kfZEnIdRiB6rzjqvF+V5JFq2CadbZmRuJduYXJenHGpWFaK7CC77eHfN516eHDR4Eh+DGlGm/iuv69bf/hPNdx5hbmDT/6n+lHBOAb7t+UNsJW3fL9PYhnvI/MsizoRRBeEWN/B9WGpokAkzlSJqzQJrrdJCncjGq3HI83A0i/DUQr7riAUzjJRoS6rmuaJkwM3CuGiqIo2rZdrVZff+0Qx/j3LTOZzPDIYCwWo9T3g2vYRSxBEHRdb+/s2r5j59LS6oULl95879tYUV5Yms/lTcOrzc4VxDC796676ppWqdUt/5oG6/pR631rraxKjdeLeEoJy/KlUgm4BoK3EWwA5eEGDJ+2bcP7NbApArfFhXTj/G4jgGGZYHcQC05o/IGlHR9bQBUBKgZXFDZ1zZ+aSl7zM7jSQAODWGrQ+1VguGbLwQKw4AEPTcMMFttgGmCGf9FLF0CFTIjaih2hKNAIqeKftfnqu2U9++yz33/2aVmVBIlned9xQZRllmfaOtrjyVhPb5cfrSMeHdoyEkvEZ+fnJqenOFHwWEZR1R27R1dWS1NTSybNv/Wd92j18NjY4gc/cv/Y5HQ8mezbIv3whTOdPbFwLDm7ePr82ez+N+/+8Ec/XKhUTZPs2LFPkJXe/i6b1LK5gm5YkWh8Ymo8V8gbtuFSr73dv9+ULxY6OjoKhYJpmh0dHbZtl4o116WoXwK6YEXDqYcoik8//fTjjz8OocNbmSliGBvBRQGyMqIRlgwqqYBDrI6GumDORtLrURT0DieGoLPhPocgbaT99cqs1y84paF3OUhLwdO9JvPSeu1fb/6OHTt2794di8Wy2SzwgWg0+sADD3z0ox995zvf2dbWhjoVpTSRSBCPcJKkcWxW159++hnf79g32TRutF9v31ctj4srWAokJFg4oIELggSGTOp6lLq+jwHHMywrcv7b0bxvtiGm5aWr9U//zVc+9vE/PDBW4dq25+qEEtaxDVurxcMhYlNKYg4vaaxjegZv10g169RritRmCarFy3wuI+pnmORQtri1J8KUC0sDQ9szl45Eknf2dzgRosrJRMi0GdEPKgb7F8f5itD09DQE3AEq8qjnO8j7GGN4XirU667nsbrjx6/3nWP9QEr+YgmO+VamgzsCUD4sKLj/DgEUMaQCmDyBhaIOg+sxSJ+tIK85m63FbnrOz4ycFBx5ELmQD2poMLY9RC4HjwEQUziOe/nll8vlsmEYPM+nUilFUSzLkmVVEhXP9mRZtRzbsEzXdbdv397R2X30yHFZiTAcOX1+rKNzMJQQMhlv393b8/n660fPzcynK1VjYWl1NZ2p1KrDWwbjqahm1BlfG2EbbgrGq6++2uAa17f+YYCNGK96pVKpVquW5ctwkUgE+CBaF0BsQqNakF6DGLu56dbtCrg2wNYU3yhoCETmjuR+0wHG9dY0ZFC4mzI38QlR/lDwhe5QT9pEg+vt0IArkPJBUYNOgdQhBF+9Xq9UKnAJpVarPfhXn3FdV9cah4wswytiJB5WI2FBFiVVUVRVkuVYIkEYRgmFRka3Dw1vOXX23PziQkWvGw65+y07HCrOz9VX0st3v3V0ZnHypVfOfvCBd506lbnrTXvK1eJb7+86cWJ2/5vuYriYHFG//dgTk9PZfIE7fXrpyOGLE9MziVR0777dxXLB9ozRndsL1XyqPbm0PCcrvGnasiwbulWr1eDWd6FYlGUxFFJCoRClFKz0YG8AA4wgCCBhPPTQQ7lcDoaPa79JXwI04isoQKIgX8IZEMaAgZNioMDNzVdrrVZ6Rqko+FgbPIiJMwswt7Z2vTmtY4HjPwiyDy+Oo00LdE4k4Ovta73yH/rQhx577LFLly69//3vJ4SAQzecxSQSCTjPggNiOHfz39BxGEYQ7ZDy2JNPLy+nCWFd/5W0m/OHjAUJBhLoJICWNjiv5DjwQPJvlF1mUwzx/Gt6puPohCU2S06OL/4fn/jvf/cvL5RId00aKFgyLwuumYvLZph3iU3CoV6b56ou7wgsy+bM/AxbZiJqP5OI13W7rpdVpsKTukbjYbGrNj8bSibtkqe0RYtTl/z7Q3YH0cY1RrKq/uGpz7IY3wJHCDs+Pp7P532CaUhsDL0iUVL/fdy8WXc8htF8KxT1gwdc9uO+vl3nxhDfRISgrkCTwL5wRwblwbZt8AEHB3AoCVwamB6qNEG4cAcJZt6G9NXiAtyG7jfeBZA1ogmlTrgZC8seouWCDAEP1kD78CvHcY899ljjsrTguraq+n6mRKBTszOua4dVYX5lGzN0hwAAIABJREFUSZKEgf7ebLnoMeQd973rqSeffOa5H33gwx987NvPmp5hmI7huMNbRr/1ze+2xbv27NmbyWTUUHR2dr5YrvIazRbyPCf4gr9vGvVl0JMnTxuGIcv+bY6r/AGRoUgBoeSA6YOoBwPHiBfopQ6LH1xcmzjCVbrbxE/AdxD/mABVFeGBJYFiHOhtABhQP1TE6puA5LqqNIHdVDeoZzf9tN4n6MpwIQscqFF/Wq/KmvmtXQNOgBJYloUugOxd161Wq8FjZdgI4ea/67qKonzta1977bXX/LcUWKJGVCUa8o+xGMKzNF8sCAJnWQbLsl1dHZZt8oKoKkqlVN21d5+ml0qVckhpW8zMDIx0L8yshqOqkS5s3T5kaHRhTuvoY8enlnbs63ryidP92wXdpiuZssfFdYu++31vZxh64dJY7/BWTXfnF1Zz+fODg/0LyytqKMKJfDQRnZye3r595+zMUldXVzqTcxw6ONidzeQ8jygRNRqNFotFl3qC5DsU+vZg26KECoLvmQGb+sWLFx988MG/+Iu/QGoHlAapKMgf4KgdODVSHSagEeQbkA8Ntk7KmnMXzAzux8F8ENQAQtAc0LQD/kO4WkHgC44l2M5G0sG6iAdsH4R48PFCJECzmxhvKzww0oGBgT/6oz8CSBzHURQFxtVQRGW8AwTiYyqVkgSBNz2dF2gsNrmU/rennvmDP/htlty0/SiIk2AAEVhfeDsbtowGqMTzXI5jrhgmXdb/IJRYVJAmFrP/9f/7wulLy6sVKqhbLZd3iMBRm6GmLDiuXmYZwSVyuU6oRFhSM7UcLZclVwmF29lQwuQV0a45RtngXDW8XdQdxV602ZCgxkpzCz1DQ46zkiuuCgxhLY+TI1TPOI4f29m/vWv70s7CwtL58+c7OtpYQfLlpsarwv5Sd726Z2cdw7IZWnMYhnMJ5f0QDC4DXtytE3YLcoLYBqICPgnYhm0LNVUQmGCzA6WlKZ4Lki6QVpM6gZm3YBzrNvkzY0+CFQ77rmVZhmGArokB3+AeVoDuKboCwOiXlpYOHTrkEM/0nPaeLo9ns5VCrlRs7+rcsnNn7/DIwJZtfSMjy4Xs/OpyQavarHvHW+4Zn5zIF+pdfR3jkxMMJyTb4ydOjBNG2n/PnpperRua5Tpbtm2LJROO44RCIU4UwC+V5TieE+fn58cuXFwX/f4b017QFRpPDUKhEDyHF5Q5gCmjOIXaM+6gID7i2Rwy8asAsPGfgosBa0Em/AurAn4K2paAT4EmF9QzsJGbmEDkQJuw5ND20NTRmiNqKtP0CW6JPM/DG/JBY3hTyat/tnYN2ENMgi3Esiygc6XxB76lQOpwPgX2+dnZ2c985i8lSQKVINmWcjy3qleL5YLpOgzHirLkEWpY+tzcwtzcQiZX0AwrHIl5lIlE40ooMjZ+qb19i0ucjn5xYmpekfpMx9SdkiS1CTKxdCWXrxAi33HP0I+ezb3vV/sFhUu2JRdWFl997dVMLj27MCmp7OBQVzgcrumaIIoQTVjTzZ6eAVGU67oGemQqlVTD4Wq1Cle0dF2vVqscx0UiEUVR4MCIvyIkwcSxLPvNb37zueeea0UaIhlc9+Bsulqtguc+EOFlp5OGcwzciwxyiaAt9irtY0etCaSx4E+QidSIgbxhbYLHFZbfXL9YPZgIin2wwUAMYiAM5AxQZRP8Yb0qGIsYnJNgsTMMA2/2AZLRfcLzvEQy5uRLnE1oWHVj6jf/5dvTk3P+Vfab+ofYRm8ttMcHRUZfuPSPquCcynMcxw8OTohuessF9rNffvRXP/aJF1+fztZlPtRb0YhhsLJTYKwKQ4moxBk1afKqJ8uuzDNGlastc7lFQZfVyCiNd9UYopuO4lX0YiYUGS2XiOJlTCMnhuJWMavG5YVLY1IsGYsw1MvVXYW1NIOaHO+jwufn1OM50XGc559/3rZt3TIc3fAcy78+6D8Dx5osrfHUdhiqUZ6TCfHfGPWx6NucbtvJ24+nDeQY4PMgG8EWBvwNBSPYuCXJd5iH564xaDCYfmEUwX+xj5u4XrDNqyd+ZuQkPG6AJ3jhYd2GM5AI5tzgAkaRFhAK3OrMmTPpdJoR+I6eblYWS7UqJwk9QwOsIpmu4zI8FUWTkL4twyWtNr04f2lmanTPjmgi+txzr+/Y3ccwoXgymky2Tc0sDo1s4yWimRXdrLnU9ogriPLQ8AjD8pVKhRN5nhM9z/errVQq8NDbetMAAh+8QoCvEwDdNFVBeTy46yMZBSOOAFdC3tTUzuY+N0KasDcEJwJsLXDwD+sHDqfxSYrgWDYHWFOtpn0CgQnKcE1VrusTiG16evrhhx/++7//+6NHj96gUg6iLUyW4zjwdDSYHOAZAVmWVVVFURg2PITZI5TjuEceeWR1ddW/GmPa7Z1thUKBFzk1HO7q7UkkEpKiONSLxmL9gwOjO7bHE8l6XZ+cnC5V/BhLDMPFEvHeoeTrr51W5PZEMtnW1nH+4onewTh1wksLJZ4NrWTmu7t2dvW2Pfnd2bveyRYL1bOnZlk2ks9akUj36NY7U6nBE8cuLS6VCWUkSfFfjRMkQVQM3aGESa/muru79cZfIpFIpzMQeSiRSBSLRUJIJBKhlFarVTB+wL9+CJlGyEHP81ZWVh5++GE/ykDjD1gq6EuaptXrdQjUJIpiKBSKRPz7fRDWCHh0UAcFkgDhCdoJWv4RsRtMtK4LoDToJUiNsBZA0r1itPBVuQ12dM1iQEhQrJXaJcn3vwE8oPTWREvX7GK9AtAsXOwFQwIcZkF527aDb48Al/A91eaXw5xoc4ynyodPnHjmmWduGi4aHYOmAQ8JMAwDT6LCOsKB4DQRptG5Hx3Av1VACEln8j988Ucf/ugnP//lJ03aSaRuT4hVNE2UGY4zYmxFZSyWCIYT0r2oJ8ZKpmGwBmutWMurUY3tisc9KVykSYOEHSNbzS/0Dg6bxWSUt2r2gsGm/DdFqivRSEIKu4vLE6VixbEEXtI0u8Qyvk8S+FrAEuB5/sCBA761XhR5XmAZtuGRaBHHrupawfAv4nGeH4bKa0SMxAHenkQTvQGpA3XhcoB5R8siYB5+RS0CNEC4TWyapn/gE4hrcHvGsmYv68pJsIBhMGAPgPq4sDGBZdbs4CqZiMFgGWwNGBAcrtfrdQjPDz65YGgJLnKYA2zHnyfqR5uARliGJR79zne+Y9mW61iUIcuZbLKnK9zWVrMsQZFYniG8LUocL3KiEt62e2+xWkuvZNLT8/f/yi+7ToWKHXWWLC9WJheW5Y7Yrn07T4/PvXr0VEV3C0Xz0OvneE7J5HOmq/uvF0VjvmpCXVHkLcv40csvwmkyDA0PyGu1Glx+BpkarUcboYzW8cLY0S8BuFXjPVT/ciZiFROIK0zAnoGf15XA3QLM/q11ATAYKTwCD2YSMM9g9daKSCRXgby1FuZgy00YwwKbS1BKP/KRj/zyL//y8ePHMSYyQAh3LaFZAL6pC8iEm1DgZgSvWQHqQo0/5OlovgZDC3aBLTOEmZqa+dKXvuS61HYdThYqlslHVCqI8bZ2RhBLmiaqaiSRFBRVt51cKR+OJzq6evfs3V+t1y6MX/JYjvJyNNGR6uw6fuaYbkpDo1ulKH/w9Ymd+/fWueXFrNne1zM+PbuQGU92tiU7er7z6KW33r+3b0uivVvZuq1XlBhNq+y7e2+8PZar1rOFSjzWNnlparB/aGlxPpGMVrRiLBWvVKsgEpXyBUmQ25Kp1eUV13VTqZQoiqZp+vq859/TgWcugDbAKux53ksvvQTv4+bzed8Nq/FIO8/zsiyDVASRINBOsN6MAw5BusX7B7AtBVdKkwQfpMOrkyL0i4TXNPuwDQuCgLEDwKtyPYK5el/BxoN6VOvYm8YL4G28cexovXFBfpAnB6vgGoFMhmFGe9ossxKS5KinskQRu3r+8buPXzh9nhDTJZ7VCHhNbJtYNvEIRqBDgJFZYQ60jIJvsapplkt4UZJlqfEQ+xXIHcK4lDge47rU8ohNiO25hktYj+Ud6pqek68Y33j0hx/86P/9B5/4m3kq1BNtGZYvcnzJ9HhBIZYuU8M1kiyfqjNCTaC6aPOsHrGz3PJ5s34gFOtwQ/dWyDbHFfhakavMebWxtkRHsRARQ2ct8yhj7+yI9uYWj3Z1b0tPnGkPhdviQjSsxsKcSqMyrzANcY3jGdu2/XgfjVP4S5cuzc7Oyx5DRM4QBIVKMq9YPKlVdZtymsy61BElhvcc38mL4UymEZAKp+FKAjAWpOcrv2z+/1Z6w7bWWw4wHa0VwXMDIuEpigJhEUzTDHp/Y+PAM4G2g5SA5yqYiQwT67bm4E+tiXXlJJgb7AYWALihoNcqiEowYMQ79gF1UXfBfEw0YRDGBvZz0zRrtRo8Cw86Iuh/eAgFjSB42CYmXB95vtkRyqysrLz88suEZUOxqGGZbe3tjWtZTjyaqJXqMifzSqxes0jNK8ysqq74tnvuXS6UTi8uxhobzHM/emHX9h1L2XSquzMqqyvZzPlzF9/5c+/atm1bd2/P6Ojo3OKCbdudnZ2JhH8AB5dgwfR1+PDhbC4L0bdAOAB7ODB31HcR8s0lgqgAcR4szGCKMAwD3uxcs3HYiqDWmgVuYiZKcnBxGg5Sg+Yl7AsoqolIYPdCGR0L386EZVnDw8M9PT3f/e537733XtjwDMNYXl6GYziIeQ2rF1RtuHuM58WGYYDzDdB28Ix1vYHgWguOvSEH63/2Z/8l23hkkOE5OaS2t6dgGy6UiulshmXZbD6XzefypaJje4IkC5IYTyXLlUpnZ2dXV9fZ82dKpRL1hLauSG9v/8WxGY/U9+7fW6/S2fmJPXt3Fsu5fXfumpvV77zzzmwhm8kYb337zo72rmee+cHcwsrJUxfOnL2wmilcOD9Wr9cTySTDMJbrjO7Ysbq6umff3nQ6TQgpFApVrd7b2zs9Pe15/luK4Lgdi8XwjqpLPT+wU8DsAXu/v1uwbLlc/vKXv3z27NlUKsUwfrBvMN2vuTevh0bMv7Jr+hdp4fwa1guwY1hNQHtNdIicPWi/wWY3ksAGwQYMGram+YENsXFkm8hdISe4zDfS109tmZGBEWK6pm4RllNjbXKiY3Ip84W//Vo65/gvmPhhEl0iCK7AUV+AsXDgiBlQIRA/sMQwKnQiLIdFVvRsxvXfAGm8Dks9x6WEt0zKEJ7xeI4RWU8mVGAZmfOIoxuVmvXId5+9/9d+9z/9v19aIW2V0EDREAxXIIRVWBoRbJFoHLE4nprhUJ0TXUYQiaO4RUFbsZaXQlUvzN6nK5Fyh6zJSWJmZf2ZsH6pT3i7Ye2Mm4v13JjL74irVmn5hc7YjkJmKZZgM7np9OpUpZIplrKGofs6vh+MwP/ztSPqP4ULFx0aUZR8bu2fyfmeiAzPCaVSiZcVNR6nHO+4VPftqzUbYmittb0DxpCv4kJYUz+HrhH5t5+c0PsbA17AmXXwXgLSAFgQQXiCdQ3qJVy+wWIwKFxrGxnUWogM1AMehIHLgEf7NxUcB5yzIAgs1EDUBxr48X3+JhEP9macBuQC4PYBT8iBiQWGGrRgQ/tXnzz8FRJHjhyZmZlRVJWTOFYUovEYJ/z/1L1pkFzHeSCYx7tf3dX3ATQaNwkQBA9RlETqtGRLsmfssWcsayx7w17vj43wxirssCPsmJEPWTMbjrUc1sgayQ7TK8vUNbYkmpbEwyRFUoRIgCRAEHcDfVUf1V131bszcyPrA9NP3WgQBEFR7h9A1nv58vjyyy+//E7TsbOLC8uLC6svnzx/7gdnWisdbNpGqbDSbWHDevtd99aXWi8dP3n4Pfc2663t23eEGrIMc2rXzudPnpjes6c8NBgkzA9kwpOdO3cahuH7fpjIKK5Eo8BN6ro+Pz9/8cIlSGgA6kJlmg185+appQF43WU4YyAUDUASbuEwEtgVgG2AUiDgve7uXtOHcGkA+1ZA37SPLjS1FR6n782vqdMbVdkwjHa7/ad/+qfveMc7Dh8+DM16nvfoo49+6Utfqlarvu+DgAQ4AJVKBdIhQdR/4Ps3nPFpmrVhtOqGAPgM5iCEkKef+t6jjz4qw73ImEnm8OjIWr0WRlGt1Ug4y2SzvTCwXccwTUzJ+dmLq7X6Wq2xvLoSJrFhGblCdvfu3TMz5y/NzRKNZgt5RMiJl16qNxtvv+eel069bDjCsssPPPDoW+/Z/ehDCwMjVrvbMW39n7/z7dLA8Lve/f7xbTuHx6ZuPnDo7ffeU1laanXabjYTxlF1fc12nfW1um5YuVwBuPDS4ECz2c5ms5TSWmPdsHS4MoJCzTAMqksHH7BhTxNuQOMLFy587nOf63a7YOoEwQJeP94Cn6S4FiA4ikABHgKlSi/KVviZrrNVGRYxzZ9Bp6B/V3Y8UE1VVj3Ck60a/zfxfHpymhCDSNEHQZarZUutAD325LHP/PX/FyUcMWl/kyCUYMKQdPHqO7lf5hgUHEDRASYv6uAE2iJdvjBFVEdEkywFRoJIX38skGnoPBFEcL/nabouMGr7fHm19ddf+taH/+P/9X//l79a6uQiZ3uN6ZGb0YljEpOEEYk8Dcl4ATHRQs1qeJ7lGDYPXK9HV9vxajdrWE7e4WKXlTkcYxSiZ1HyjBH0hqxpEw9ir9sOZ0r2e+zuJGJPEH2llJ+S6YE4HSwNjQyNOpbr2hlNkz6eYLqnnGMQlplwoih64IEHUAISgL6bUN+aq9HoaBmXW2YiAem4jmubFkGYsTiKfKCrAJw02qiTN40tm+nP5ifp+j+aMhD89PYEYQrYbsIEYcvA0gNRVROEXab2LyDPa53Xlv4FwIIBqVLnqKZpUjze1/XKCPRRBPIxoGvQN1yjFQTVPRhmop7DZMAsA0gSvAI3WrgrAEOtPtlQeJWpEpndBj4RnH/zmw8gTKluNFrNqd17ukGou3ZlrUYNOjo1rVNNM/RGvfrCyVN7dm0v5t3KwlJxeDhxrZmLc+N3HNKR9tRzP8hPjC3MLQYotjOZPfv2N9qd+coiFTpG2HHdKGS1WkMqlS0TIRIFTU0zhOBRlDz55JN33XV3FEXKMxasHTcck2qCrzI1VS9V2OoTBUnAM6XugTMbxgNMqsKnDWCH3bVV+6khXFMRmH1oLY2ygMeK8d/MDN2oAVzTKLeuBOzvgw8+eObMGQjh+IEPfEDX9VKp9LGPfaxSqTz++OPr6+utVsu27SAIHMdR5ClN39XSK/lQ+u0V+wcIQKxC2JLtdvszn/mM53lUJ7ptmK5zcfZSvlyyM8746KAQot1tZfMF2zYFTzDnNx+4RXoXE3r+0my5VNBNOjRY7nbbh247vDg3W6k0BgYzh27bf+b0pfMzs7ffkdm799DDDz377vfc++wRL1cudsKTBw6/61++/aLpdCa2Td566PCxo8dr1UYuV+iF6yuN6s237AsDNj+/qGtmaaBcWVweHR2fXZifnJw89fJZ27YvXrxoOVbEEkRJHPPy0KDXTy+TJCyXyxNCwJ9cBujuZ7YCrABb9SRJKKVf/epX77nnnl/6pV8CgTcwTArJrwi3Kz7cQKZUHcMw4EanrhBpiW96KTdsE9XCtRTSyAyYYNu2sjUGcg/4cMVxpj+/lu5+DOuMjY3lHJskMaEGEwjpdjY/pFHty//r/u0T5V/9xV/AnFPad+tKEKKm6PMo/aQm/WQcCCUJsE2Sd4FIaWmiwSRHhLjMHNt3PJZmzYhzQZmgGiFUxHFguc6lpdXZU9Uvf/0fvvbgEUSyuj1MC7dKxwcR6Dg0cEA9m1LMMWHCTqgeI92XsYu0rCtYay0jfH9tGTNk5QZ9zfIs15RWR+1ivOwFL1GNZMrvaQX5SFzS+Dy2dscBHXBWl+vW9PTBCyf+aXpqR7WlrdfbGhVxJJLQs0yh69TzfIJl/DNdp5gJ3Fe9cZ784Ac/OHfu3J4DB2BBGUYJQ81GW8tkbSGQYTiOgzCWVJ0hnSCNoyCUTqOKiYQPN5MaxVVs3koAXoX5P2JcSp8+MGzYL2AMB1HWlPMTSByU5v0GDnVLeZLijZRdG8BamRgDkwRrANRKwRoKakk2jBsEpJ1Op9vtBkEA6XVtGd5F/sk7pYwYIR3BlGRbLZXq4lVBAJ9wITnxSmX5uw8/ZDp2yJLh4THPD2MuQs6HxieyA0OJoXdYEgrmDpd3vfVwxW8ttBqeDGIf3nvX3bWef+KFE+/52Z++eHF29+7dzSQYLAzkykOhQN95+LFGr1drN2fmZ+eWFqmuDQ4NIYL74rekv2lRkiRhGD799DMwHhg28AobpnCjEFGBKL0KSlhNCFFZDMF6CXJRKXHF5i20YZyv8+dm4RlARlmKpBVVsA3SkFGze53DuO7PgZv86Ec/et99933iE5/48Ic/DFc9hFAcx+Pj4x/5yEempqby+Tzo1IB2w26CqcEU0iui3l5lVKCnUxXgrvnggw8+9NBDMoZqlBCqy4iOoyOc4GyhODs3TzV9cHjUsBw/jOOEc4zDJBkeGysPD++/6QCS4qVLc5UlJkOwoPLIiB/HHc+vtdvDI2NRzCrLK4OjY0QvLC7X9x+cfubZ4z//y/fe99ffnt4/ykWeI/TEU0+eOnd2YmpyYGSg2lhbrq4ce/H52YX5scmJuaVKLDjSKdG1Trvb7fQopVNT00EQ5HI5x3FarVYm74Zh2Ol0EsacbD+KAWPydhjHMkhM35w2nfMHVLSdTueP//iPT5+WPqSQyx2gqiBzjYX0WmxAMLjRgbATInSEYQjNwu5I7+Vr7E5VS9N99RAKkCQO+GCQQW5gktL3yQ3f/pv7uW3ndtvSWrUlHSVCMKoZTibvd0OBzT/+fz//yf9xfyuigiPKI52k3bYIWCCB5lqJpcFTRN09AMgUIZ1wDScUJRTFGkoMwuQuwTFDaHHd++Sf/+2Hf/E3//0v/+6Xv30K5Q+E1mSLOd2YMyRMiuN2O0+0JAgx1hh2PGH3YjNhxMTYxSLvBai51lyfxWZsFPI9Ztm5/QnbjqM2iR6LVh8pxzfnyf/W6O3q6Wtt9ExInLyWcdxn5mrHBwbfe+7Y/C17d51deskxDFsn+aw7NFjOZV04HIEaKxGDkGGlZIT6tbW1+7/yZXlh6J+7AZJp55bmF3n/no8Q0nVdYoIMfkwopjLvST/CuGoQ7slgEKIkpsDxA2UDRFJkNr013hQcu8p5pPJTqUTUynM8rZ2Auah2YNbqdnqNk9pSngS0AJgYEB2BM+3Zs2dXVlbuvvtuuHiB9k31Cl+l6QiUldINjod+fkFHDR3GCo2AgllxaerzDZVfdXrpBT5y5Mjy8jKyDdvIMqn6xWEYlwcHgjgybUsIXigV21kWdXus423Pj4SNlpHR5tZXGi7Zffjg7PFTB267VSDcXW+teN62kBfGhx78zsPZcvmW227lIVtdXK4urZ+/dLHg5jGiftDVKAWGCa7Cp0+fXltbU2CB/QwbfjP//qpTu3oF1YuCqgImYAxwKowxZUwKGl+wz9h8S97Q4NV7v763qgsFGYUwYL+vuCtV8/o6ev1fwQBgXyhhBiyi8s+qVqtJImO+AbYD6sKHavxp/LyWUanLA5ziQoilpaXPfOYzkj9jiZlxqSX1W1jXiqXiXGXJztjzi0uaThLG8rmsbZvZXNHzvOrq+sjICNG1iW1TQeitrSzrpil9ZRJtbHv5+Iunb7vl9mZvae+Bm2bOzgm0ePCWWy9cOOeHFtfaL52cLQ4OT0wNfe3+J2+5dYeg+jumdk1OTr7wwvHJ7ZNOJhPH8YkXXm62WgcPHVpZqQ6NjJ2/MLNrz+5GrS6EkGHlwqSQN/sZR0VpoFyv11mSaIaey+U67V6v05GqNMak3oHxIAhg1iBJUgA8e/bspz71qfvuu09lNLMs61pguKEONLiBF0njv4K5ECKCuH+EwENoavO3G7q4+k+FA8C0AZ6ohCdA9FWkn7Sw5OrN/pt4OzQyknGt85W5iZFJPw6RbpmuszY/Pz4wgS33s3/74Oxi7b//3q8PuokMqsV1qsujSvkFw8FPpMH/D131FUipNNCWmWPlvxgJjjnHnKH1KPza17/1vWdeePTxF4RextogcXbG3Ei8hFBm2pjxKI47lpnHtOTHmUDvMGFIiyaMNMRMHpjcF+0ui+eDjpEp742oKWzkEqKHnbxvd+vrCAunOKmZIhQvcdaOG95g5rYAMVNbXlhuTG6/pVs9WhjiL1xcHCvs7PoXmIhr613OIsvUqZQiIV23E8aQ5CD7rg1CALmO4/grX/naz3/kP9+8fx8iJBaxjtDZU6c7U1bY6fFYKuzkfKmM+yQQFjIilAwToJBW0R/QC8HRsPmepqr9+OCSWlkY2wYmD2OsiAAEg1AeQrCDlB5DMdOvaWpb8kn/qhzttwdnQK1W+/u///uRkZF3vvOd6tAFyqK2saI+iu9RDB2w/7Bmm0kMEAt1IsIAoNpWy7a5ETV5LNEEUUyiKPnGN75BNU1QnZpGwHnOcW3bDIKg6JaIELlsptts5ZEdYoPZdDkIt+/effH0y4ViDtV6++66Y+b4yy+/dPLAnbc9/eTTB+66fe7igptE26anh4YHNcuu1pZr7ebEtsnVpWqrI2MNS8GbFIZJF9P+yMnCQuWpp5565zvfKZNw9dUHiiZeZQpqLtdSADTaDChAC6UYhQpxHMPNA7YQXGGTJPE8Dzx400f7tfR+7XUUur8CnMufpscPvYPvNFjCKQmcQrNr7/GG11SXB1UA9bTydBscHIT0TIo8qTGo6avtqp5sXjv1ldJZq8q9Xu9v/uZvjhw5IvrGnIbtEMuIZXpxVlutlsrlKPSz2Zxm6LZt1mtrvh/UqjUZt6aQk1cRgUzbCaJwYmpHp91u98KD+/fVGotTO3aeePnUnXfc1Gy0c4Wik8ktrdRGtlsD+f1e0u506L0f/dDZAAAgAElEQVTvveV/ffWZu+/dp5PiCy8eazS73/v+M33bfIMlYnJy+87du9fWahdnL42Ojjcb3YHhIcZYoyVtxn3ftyyrNFCembk4NjbWF2QyqmnZbDaKIukDLGQoZMd1wR4ToArspvIdgVgJ3/rWt+67775f+ZVfgYjPaUC9pvLm3bdhFZQbcxAESgQFNAqw9DV1p3A+TdYU5iuKqs4tuBYrtww1ts3Dfq3DeNPrc0Smt0+dn32GhUFkWjFFwrZwubjUqOdyhp0r/vNjTx09/uRv/sZHfvYnf6JgWd2u109tThDi/UWRM+jT2MtqOLU1AEqSMZIKK51jVO+yl07NPPn0sy+dPPPw95/lRHOzw6GzTWCXai5LhG1rGEVxHKIYy7Tq1AojEiIrSfRIxwKHGhYZQ6NJwHtNFHbDTkt3R8pDtIc6mlHS+AQNgyg42WsfR8QrZu7lbCQOVyN+EsVRyZmm3NLFzNoaGx15i1e76BCvnnB3QGdNnaGObmiZksNio9mqsdg3DM3zWlKYJpUqwCrJ86RPw7VzFy7+3f1f/i+/+7u2bQlMep63tFhpD41ovkdkSA5Taqxl1ixpk4WxJsS/OjsD3gLlSauAYLsBAOGgvz7cfkORSiE/9ALSL3U6KGsEIJUQYQeUXXDfAIGOunW81qFuyScBNAF2wLJ4nvfII4/ce++9lUpFbXhQxkE19W/aiQn2PMhF1eBUTXiiQACUSAFiQ33VqXquPlRPVEE2JXPgoHa7/ci/PIo1abYdc+bY2V4Y5lzH1GjsBc31tTpiru0MGaNB1lxhDOVz873u1N6b5k++TINkbubi6E27Vk7P7PvZnzp5/MTe8lgrjvBKW3PN4dGxmfPnvF7PsKyYJbv27Kmt1P2mvAT7fUE9ZAHUNJla7qGHHrrrrruUHh0gsBU63ig6qNpRvCnAUNf1NKWGh2AZBueBotQA4avAWQH8Ggubm1Kg2NwCGFGBElYpHWC3b2ZBNn/+RjyBrPWwI4DWpGdkmia4NAInquAPc9yMwFd8csVhA3sNs06SpFqtfv7zn9c0LYpZxs0KROKIxXFiZJ3tU9N+GDi2nclkmEjCMCoWymEY2qbuuu762srx4y/t2rMjasSOayWMFUtDFy9efPGlozffdFtiewkLjh47/d533VtrVGZmKocO7b4016ws/mBouNhtuCdefrlQzoxPDN73he/c/ba7OI+cjDs2NuZ3w3bbW5ivxJE3NjFp2Zmz5y4MD47NXZrbPb27WCxqmnHq1KnJie0rKyue542OjrZ7HT8KdapnMplKpSIE1kwzjuN8Pg9yJsMwwINErTWYeDPGut3upz71qTvvvHP//v2QtkXxnVeE3lUeqjXaqg4QJdu21RUWbh1qVFt9eJXn6U4BfzbsRyAUarmBYVJBidIod5VefqxfCbRn195Hnj6aRLFwiY9ELFhmdKi7ckFoXhAIapvrCf+d//Y///Ivv/iffvKn/v2H3zM2PpLNughJM38hJBeAseQtARoKjCDErbXiszOXnvzBc08+++KZiyu1biJolpoOd/ZhjdZjxg2czbqtxmqx4BDe5EKTCUuQi5hJkNYNfepQhjquzTWRaFGghbHfqIU9L+PmMsXBMNIcPGqHtk7MMD4TJMvN+mImXxx2P6xpF3vdf/ZamOJdjjMsiNeOZ0QHF4uFXu3ZrDtc6wyWbLO3OtvMHc+KaYyStdVVjBLLsLzYDyOf6pQFUh7WpxvyFHvFb0MTAt9///3/5//+f0yMjiCCe+1OEsVRErNejwruWAYmRMqSIFWeNPSTZQUlhRLq6FHcOdQMAhm1H4xZr3tPqV7euAJoY2BesE2uuClgIgABYJhAfAPKk2uf4JZ8UnrfQnPLy8tHjx4dGhqanZ390Ic+lM/nNU2rVCoPP/ywrusrKyt33XVXs9l0HMf3fTA3uawu3QStK05pQ6300l6lPqzu5gpxInPhIMQfe+zhtbVlI5MLYp4tljWi2dmMYLzWaJi2pbsZYhttwU+cu5ShWnliWOxwaw6aDTrbDt+0OjNDlxs7b9777adeWGp341xu+cxivb5aGh8ZzuXPnbtw9AfPlosDIkDLYaPo5AulYhiuxe1E03VCAi6T7mAuM/CwI0eOqKijCu+3ko4AAdg8qVd2jgTVholfsfKGh+mf6XL6tAZXC7CvVzx4usKGftOrBqJOqJB+fvXyhpFcsTLwbSo4CmMM5F7AM8Enqt8NDW4ecBq1rtjdVR7CXlAbTPWllgwoGmB++u1V2ryWVzJzU/8PYrJ95n/85Wp1PeLCshxJCGU2N9PNurlCfn1tfWxsLCHIQywIQ4qFqVkl1603G1GvUxwfs8ul+bVVIdjk2OhAudSor+/et3tu7tKFs2f27N1bGt/WDOMXThw/dPDmlVL3yLGTd99x6OmjLx5+x67vP/rszdt3+Xn8xKOnd968/abD+44cORLGSXW9UV1dtyxn1/7dnWb3/Mylcrk8sX2q1exs2zG13qq1vV5xcCRbLDn57PK51Vwu53thGCSGbg8Ojq5Wq1zIMDGQvrDVaLBEmvdBfEJQ+ktzJXLZhxS4pfn5+d/+7d/+2te+Bt6jIKkFKAE8wSlGeU5cEchqga74Vj2EaoCEyr4BCK6Sy6pO1VdQuCJapvtNU9oN38I2V4oDCPKkSP8VK6db3lzhBj551W2ldhmoztXA4EOKycGDN5smRUloJCyUskQr1i2TlvyQEdNHUZLFRVefqHWTv/jqI5/9yjcnxocPH7rpwN7pidGBsYFyqZg1dV0Q5vlxu+U3Wp3K6urFucVL86sX55cvLizHgkRcT7DJSFYYLscW5ppuaYglhog0jo0Ql52BMIyQjP9OkDA50wRKNOKbrpTKYI6MKNGSWHjdXrvuUKuQn+gFIuS2kXE4J0STnp3t9nkkehPDOwgqMG824I21dTE2vFuGfcJzXqtDiZUfyKzXVmxriCGes9p+lAiDZ9h4z19FmNm2YFLhF2kEY91KmMA0YTxWegAFbQuLZq1Rqa1MjA3oSDQCvkxxrp3EAY41Yus24tJuPSKonypLMpFqIa64+ophgrcgCAdHXZDNKEWwwuQrtqMeKjKVPjXgrRqJQgb11WstwLDVTVW1vFU7QDahPnDS6rQCWRR8CAPb3NqWfFJ6JmBPvnPnzt/5nd9ZWFh45plnXNeVd9kompiY+NVf/dVOp/O5z30O4oeCWGKr4d7w5+lxphvXDRl43gv8b37zm1ygMAxpRsZHj1ASBZ6esZ3RIcO2IsK4pRPLyE6Nxyu19fVmiZPh4XKdRS0a6262vt4wl1dufetbjzz46E/87E8//w/f3fGWQ4uVZZ2QU2fPHbj1cNbNJd3Eawdnjr80WJQR8+RJyaUXBlx3JAUgZGlp6YUXXnjve98LwUaBQ9pq8JsxDKYG6wfrmv4WrGHS0389ZUApsBBKs+1wz1D9wn4AXgoGrCyc0gqp1zOSDd/CwEAfB4oY5R8H9gqqviIrCpLXuMlVCz9uBTUjIcRTTz31pb//YpyEiPMgiXLZIrEMYemRRjqICddqxIHWDUKWUJNiywziSIbSw3ygPCCCyHHciakdPI6WFxZEGG/bORWweNuO6ZdfOumdOrlv374DNx145gfPhCdOvP8d7/zmN//x5Fzl1lv3PPcvL9zytgMvHz0/5Fg+Ru+56+7Pf/7zlmVNT++6NDc7VB5eX6/PzS3snN4zPj5+YeZSLpeL41jT9MVK5dDBWyuVFYFlelTOuWma7V438P18oRD1g0ohQhzbiiKZJTeOIippsww+AqsMc1crCEGqkiR54oknfv/3f//Tn/40sESGIdM7KMbI933IMnZjlxJYc5UABCKlKdkSME9qjyj0u+4xQFNALoAOwx0GlHGKXwfKkO73unu8lg/VWqQrp3uXqT/6xvgYY3DlA6mwOpU559snJi3TbK6vZbJDrmFrmpH0eq6TbbUburRCpjHDCUeulUtCLWLWhcXw/OJzX3ngScRjShDFMo1ZFBOEKGeEUB1TGWpJEDMImW5PMCwElj7POsYajjCKqMC+sC3DpJbJGQrjJIgZw1STVRKCMcUEc6EhrokAoUCIOBe7qysVg+BidpAJzRcWclyOdOZbXFvoRufiMHKNbXn7dg2jrrfqe+dQMrR97K1euBQltSjEGVcmXF9euVTKjzLR8juI8TiTISF3ut2ak7GRSDiPsMC8b4rFRT9xSgqyyp9JCOYJhjvt5eoqwjfrSJtfqoiCw7CIZVLRvnGT6Cd/g8/7noCpll69qCwxgEdXiV/AoQH2V3qhoZrijWB3bKiwoderv91Q+cb+BPRL7xpA1Fcd0pZ8UpqlUkr6gf7f1NSUZVmMMYiwRyktFApTU1OQBhyUgumL/o2d6lVaU2cJWPwRDS8sLPzL448Zpil0i1AqzQDzLtE1TjDlGAVswM1gRuN20nBCWspmS/mkG3srjex42Q/8Qn5gaeW0P7/4vrvfMXt2hie4oaMxRAqFUmV1ZefefUMDZQ3rF9dmDaqNb9++cOnSYK7EkXjlCoVkrjfpfYAbjcZjjz32vve9D0hnGrxXmRG8SlMlcFhQ9oxQQS38qzb1qhXUwIAQK25JGVYrVFMkTwm3oLCVkOxVu77GCor+psemzomryGDT7UN9Ndn0qx/PchCFtimNNFuN5p/92Z/V1tYFEoZlZUqDXc/POXYcs1a9Tj3HdGzf8zJU5yJBmES+5/c8gblmGsUBkXezy7W1QrmAiDY+PllZnO+Efm6o7Jrmgbtunzl7bnlpqVAsHr7rLd9//HvPP3fs3p/8wA++f8Tet60Z+4kfep43fMteutz89ne/OzQy9t73vne5UgmDOFcoDgyOrq+vnzp92jTNbdu2BUHU6wWmacrAY3G0WKkMDQ6ur9csV/q0true47qDg4OVyipizOiHl+y2O0kYUk2DRHUJZ0ksBUuXt4zMaPWvi+M4jud5X/nKVw4cOPBrv/Zr4FaimCTO+RvBJEH3sDVAcKjCG4J/HCCnwq5/He71ltIomhYsqd433F6ut5/X8J0iRxtOFxVKBvJDQ4vKxErZ2IHOmhBy6NChcq5Qr3WiZgNnMDG4gYXpZG0/Snq+lXHCOOKG246RTvO2JeM1xHEYsxgTEQsRMCaZVMvQNIvHPBaIIcYF1qhDMrocDBFYeoQx6e8mYow4wULHepQk0noJUYEMarhY0DhkliYwY0TEGo4MFOK4F/u9KAgaoTdUGEoE6vqhlNrKLFmSAYyC77VqYcYaHi9t17ETBt1OVIuSdkYbJwaJ47kwWKMoX7THg6DWik6NDO2urs4UcpPE7AhBW7WIo1rGLXPeYyzmUuvIOE8AaDIeQp+8Xk7U9greS8gbBMfi9JkzH3r3PZRq52Yv6hPDIu7yIDJk0hIhQym8dvZILX96TRWewwYE53QQw6RNjTcfBGmkTbecblw9V6dG+smPpqwuG2pgCrc3DGBLPgnsMJRcC7Yl8EDFYhGEz4p/Av81+ARgqjre0N8b+jPdqYxNJsSjjz8mWW+BM7kCdm2BiN6NGU00x85nc5ILZjKvDzWsIar7OW22tTJSyjhtGrd97Grnams77ry9Mb+4sLBkDJSffeSp8f37V9dqndX1nbunPa8rEJ1bqHR7gYn0YnmwtrYuRSmGzg2uY5LgOIok6mNCOOdPP/000Ag1zivi0xVBpD6BpYV2VM0byCcppgd6hO6go7QfwQYFNlSGCtc+KTX+Vy0o9FVwgCkrOapSFII8L711oXH14RV/vuoA3vQKVp9JSpLkyaeeeOKJx6TcQpNil54XWXam1w3dUn5sotQN/GKxxDGKKdeRTCtra7SQ57HMHB0sX1qsWlrOdpNeSAiijj26c9f8/Cxfb7sDpfVqfWhkbOXSPOPILeRuueXW2fMzJd8rFXPPn5i58523P/7Nxz/ysZ/7p+88PpLNjYyN53K5cxdmTp8+zWLeliE+Ql3Xt03vjKLo0vzCrl27ZmfnCvnScnV1x9TO0uDAyOjYmVOnJ8bH19fqvV4vl8s1Gg3f83RHJj2Lo1jeLjQNOB4wfIS8qAq9gQUHsbnnScPeer3+J3/yJ8PDwz/90z8NclYQ8MAG8TxPRpS5cX+Ah4BLoIaDoLvgpbvBfgiqbUbd1zocdVkHrFZ6t6T/BxIsuB68EVtvw2i3mk5akicDVUhRoqbsC+HJBjOMYqFgyOhJicMTx9ISjDiiETXtIu6t1Twv0HNmguIgjDKmdCKWVpWSfyAEa4ngCCPdoEnU0ymiiEhPsb6uFsmQ2ab0au5LaISsTGOsyziTGBPBpRcDxongPPZ0zbaw0DA3ONa0BONuFDQ6nS5OqE2KBXPM13ErZBgL281wFmoowGF3eWlRdzujxd2Osd3vdn1xLkxqLETl4hTzewI3qiudwdK+hDcjfDRiyBL711bmRoa2rdeWpSAMY9fhSZLBIoziIEkiLKS9tugn+9MwEYRwcNTrL7miyXItOKeCnzn5kmboAuGFlRUyUOicW9WiJOO4EuVk4MB+yChpCJ66WGxYyK1/Ar7Be0ByGAC4UEAZrgcqgjxwAorqbiC2PzT+rft9U94AbUkPOF1WQ/ohp0r1FKwIQeitOCTYn2APD/bkcKEHKPTTgETQgqJralOlW/7RlDVCu932P/3TP1HNQFTj0rqNcIpZKYsGC8lArm2S5cRfir1VHtZRglqe0eyNOvmEYp/wbruXtZzswEBVJNX19tlTF7a/9S3EEzcfONTpeHv27luqrI6MbXvm2WNnz130g2h2dr5arW7bti3qh0WWW5pgeafp2xsKefPhp0+fXl1dBboGQLvikmyGz4ZqgMcAfNXa5q+u7wng+mWV4Sv3GGhKpekFehfHMSRjAaYZ7ouKXl9f71t9pUa1uQJwcmAPB8p1OD/g6FIYqArAx29u58f8SSxjvqBut/vJT36y2Wwjgi3H9SKmFfM+xUYx3xO8EQY0l+GW6UmrWIRN02csSBKuUd12Rie3lUdHScatrtfWFldN3YoEjk1taucuA2l+s2sxahjm2K7p5dW1dqWeREwbHZg5P5vbMZnEvF6pju7b++yLL9KQHbz7zvVma6m6du78zNDw6D3vencmn8+XykQ3VqqrpuWMjI2evzBz8NDhS/NzA4PDy6srjptZb9T7913cbrdd183lcr2ej4lMgosx9n0fCLF0wg+TIAgkbmNM+uygMrMA/knlVWWMzc/Pf/zjHz9y5AjcdEGkBF5yN5ZJUjdA2HqAUTBmx3F0XcowVHYghW+wedNnz2vCtK0wHy6lpmkCowY7cQOheE0dvabKmzsCy7CnnnoKgAPJZ4DKgcoGrjQAQ855GPpCiOmpHa6hG0mIQ88g0n3d1y1uZ41CIUhiShmOu5YW86gVIj9EYSQihjhDUqVGBNIJpRpGiCUsiHkkUCQvpyhGIuTIZzxgIk4Yk4ZKyIiRE2In5BZDJsaaIcOBc0t4puiaSdPgjbBTaa7P+52WSTMZd5xqw2FSSDjCVLczWcsyvG5ztTITtZeHMmg8e6/GjTg52/Nf7LZXXb1YzA/4/mqvt8ZCe7A8GLGZTrcSdYbKuZ0BO2WZdGV5MeOaAsU6FVzEhPA4CeR1BSPJGmFBCJKJSAWT6UFTfwrasiAdXPHCpVm5O7iYW6hohZyONB5EWbtvqtj/8HKEZXL5/1Rjr1IEVhvYIzjHFerCLQXklxBTBnKJgPREKtCjaAPVVZ2lDxR1fqm3b3oBdqvas5vHsyWfBJNXtAC+VMHuwGxFIb2K9wXV1OVeLfDmjt/oJxTjs6fPHTv6AtENO5NPEI0FxpppMWwzLJp+80LFn1sjKx19uROeX/HWmplmsk3YLtJ4zjWHBxbOzZV6JOyGt9z5FmplfIECgS+dnwsSZjhZ3XZePHHCcrKjk9sP3f6WnXv3df1gcaki5C3HkJpyzvv+1zKvJ/w1Go3nnntOweQqq3ItDLhi3t8gSKr2Aa3hEg8rDnm1lDWSYphgj6kPb8jArg4l1YXilpSME5xdVYxjVTNdUGuRfvjjWdY0aa/z2c9+9sXjL+mmIRD2Y2bnC74X5LP5JEoMQUuZfNTxvWaH90It4A7XHGLahq0ZVih4SDHK2APDQ8Ojo5ppvHTyVJjE/WwORDfMuuctLa9ipEdc7N63b3WlSrBmZrMR4u16YOWMiGV27Zyo16J3feh9//iNB7jA4xPbBkfHdu3bv7iyEiTMyeUntk1NTO04f3EGYZLP51eqq6XSgOVk1uvNbCFfbzQGR4Y9LxCcZzIZ3w+DTqfvySx6vR7v6/ExpkksGW8hrWSl342ksH0tBKwLJLuFhLVgqKTr+qVLl37jN34DNhcwUpAS7hqR51pWPH0hSWO46gKiRAK7EEURpKmHluGAeT3Ilu4RDH0U06Yku+BlrPbptUzqOupsGAm0AED40pe+9OUvfxkSsMAgIee3ckiEo5RzDnngNU17zzvfhZKk26gtL8wmSRzLpG44pFpsWJnBstdpu1Q4hBEks0B0k8RnLEIiRjRGNOKiF0YyAiTXPaaH3AiZFXGbcTtKzB7WfEwihJlMy8A1xAwUWSIhglAuXeYMltgopnEn6VSjzmqzPseijqu7OXtMw0NJ6CSIIh1ljSBnxUFreWlhRvC4WCpbmZydK8XRUuAvtxurtuaMDU1qSO+265z1sq5DcJhEvt+NhgcGMepWFs9ZWpYxNjBktpq+ThMu/CTGEavLcCd9f70+hkgmSUqApGN//2Ldj7Ss2BQANeEoEmxxdnFpcWmpWnvp1JlelCQBF0HkWvaGyte3vlf8CtYdrsQQpWUDwwTiQ8aYymIJW0BxRVfEHOjr9WyNK4722h+q/QsbaqsPt9S7gfkRfKast0CQAJG44X4ALCfnMigcQCStqdmq1zfuuVoVHiff+edvV6vriFBiuphommUTw4zDxA8CZlBjIF/I5ziSjD0muLFSry7Ml/zC1B0HLzbrdR5nCmW+5tN2tObklnpt9PzZPe946wtPf3/6rQdPX7rEk6Q0PNYLesViudbpIMsc3rbt1IvHBixHp/QVfhwRGTSYssvBMPgDDzzwwQ9+cIPR8bVAQ20AxeMrQgkkScnwrqW1q9QBvEkjbrqs3m5YZdC4gT8O3HGv0sVrfaW0Car3dAsbHiqBlpJygVgUzg9oKt1genbpZn/cyknC5mYvffaznzUMo+P51MlodiaI+cjIYLfT1TVNJEmjV004452QaDTErNdsx1gYplYqlTREWZAQkzpEjy0j4w7jrF1dXBobG4so0ks5PWcE7W6fsynVey1nciTGyPY4LxQ66y3kakvNFks6GjWPnjkV+tF7P/CBxx9/nFJ65OjR1dW1rJurNWSUSCHExOS29bW1yI+GB0fq9aZh2mMT4xACWIYAmK/YGde2XRn6VdchkkISBFTT+2mRZHpEKZukFBRwINsHV2eZYbcf7zEdXwPc4s6cOfOxj33sr/7qr+655x5IBqdW+YYsJYhJ1C5Low2wUK9seXlBUubnyl/pusewAb2hHUUEwIsCRGjKvhsmfpVj6boHc8UPYYQzMzO6ru/atQvM54EUHDt2bM+ePbVaDVx9oyiCw9UwDF3HSSJuvfVWFDNkMC6SGHFPykiihGghpeVi2a/XNWl4FOm6ndFl6ngmJYyYc2kkTg0ZmzvmkrHAVMOaxhETnHGic2mYZyLBqczxxgkSFHHB+uoOTg2CKEqSoBv7Xhh4CCHDMEq57VLwxAlmJsEm1YhAHsGRQZP1qkzknHdcjVDTlFLDTrcb9lZ0LZN3xwlN6o1LjIe2WWJxlpNeu+1ls/ls1q3VV3TdzBdyEmkpX17qGVYUxBbmLGZrrj2EaeB7CeeMEi6N0gUTMmAS68dAeuV6nQK6EDJJVqTpna5XqzeFw1t+kEl44IdmzGzTunypAL3b9Wnd+t2po1xhEfgQqJ+KWVfHkFIHA+EFkQrsGqgDG0QdZKlp/SiKgKXQU3rzbuh7q1dbypPgvIEND+RPzRm4JWW1BwoXUMoAyVBjUoUNo3njfsIgOef1tfWHH35UarxNU6OG7biaoXd63TbzsWM6hRw1DSk81MysYWV0K9kzjvdPNRB/+clj086Q6+ZbOm1mre16YbFeu/Udb2MLdVbKGpqZGRnqRP7w+Fij1xkcH+eYXKwsNrvdWLDJXTJ0jRcGfijzsQghs6+AJSMM7LHHHoMMVgC0a4cPoBdjrFqtrqys1Gq1brcLqwNN3SiQqp2wAaHhOfwLr9S/mqbZtg2CAYgeBBqQGzIkNZ6tWttQAUCqxEsq1a6azrXDfKse35TnlNJPf/rT9XpdZoHVTct2YyZyxWKt14761qfUsZxCrjw6XBga0G0rXy4XBwdHRkZYzJvL1cbiSmN+STT9zlrNzDiBibJD5YnykLdaq63VE5Pqg0VjsNDt+WGzM75te4Mks0tL+wbHYz/p0GjfntvjXs0Z2GZmKWuxn/q5f/edh767uFQZGBrMFwt3vOXOO+68c3L7Ntq3IFldX8vlZbI2maUkKz3akoQ1Wk3dkuGRfN+HUzP0PEAbSTQup4wklzkMzsFtFpxDgUYD2IGQgQcJRJlDSHqzapo2MzPzsY997L777gNpU5qUv/4lAzmlwnloEDiS9AEAjAtogcFiQW3/6xtDGr03oC6IqVSzkMZB3QcUwl+LcFo18loLMCQhxBe/+MVcLnf27NnFxUWgSHCdfrT/F8dxr9eDzFT9qKQyvYamkX379g0MDDimoWnEi0IuU4QwGSrMsntBXMyXey0/iQQxbCOUrECO0ryu20RoPCYiRMw3SaST0NITR09MHOokdnRh6zhDsEOIiZFBpOkzlvoswXis8XYs8yrM9daqJElcO5PJFt3cAOajiJcFN5E0WfVF3EyC9bC3Uu/0NMvO5PI6JRoSXrNZqyyJMM5lRqUnQVBrtmqc6ZaR13TWCy9e6ocAACAASURBVC92O1EubyW843meZcoAqpL9khbosZvFGFkyR63GKHEQ8Vkio0eml4xzGQ6Ai8vuC7AcP3R4y1x4ZKW6Oju/cGbhUihExHjkhxT3g0zKmV7Wtf2w0cS1LqxCG/DEUgivLJCgIcBzwHwYXvpDOBFA9Kski2AOoT6/1gHdoHqwj9K7Kd3wD0E4/eKVMv3EJz7xSvkK/6fvT6oPaFS9gs9OnTo1Pj5eKBTS17hX7X5zl3EcQwBy1c6GRhSxUM/BtQ+uU3Ect9ttXddPnz793/77/6OZtma5xLa5bgQJ0yh1igPF4eEu4zTjBpgLHYUiMFytqFt1YljZSV4PG5W5HbtGwsRvdL3OWr3ojrICWlvrxt0oHjW9c8241cyMD+uCNnz/4pnzuONzJNrrtdFYJ25+fb2ecTPddheMk3jf5FCjMotFu90+dOjQzTffDIOH6yYAQVEcxaErAtfpdJaXl0+ePPnwww9/7nOfe+SRRz74wQ/qut7p/ym6oyCmPlQg2gBnFd56w/P0T7Xc6YdQTuOc6kIIAeZBjiMz0oRhCEzzhnbSg4TWNi8oPFEtqwFsaEo9Txc2fAVnCcg+WT8hRrqRDZXT7WxVhiWDf2EuCpjqkvD888/feeedQCCgCzXrdEF1sWEY0Dg0C2etEOLZp5/4g//6X9udDqamnnFiRIRJGRXGwIBRzCeGoRfzejFb7bS6STC0bTR2rYAzjpGuG+XBIV36exqNRhsjmlA9b2Z6jW5g6Ug3grbvR3EJWzST0WxrfW6FUs2ZHAkTdvbYybve/a7TMzNxqzMxNX3p5dOFqW3s4mrFRvzi+rt++T9dvDAb+DHXtNZao9ps5QvlQrYYxWx9vTk2NnHu/Ey5XL54YXZoYKjbbA4NDraqjVggY6DUWF4jsWDFDG37fq9nu24mn2s2m9LjIY51QyY+D3yZ6QRuxTqV9t2QBUjZKinSDJAkhDQajccff7xSqWzbtm1wcBAue/BW7bVms1koFKAR2Gvp/ZLGPdW+WiCF+dCmeq72rHoCBwkgHuQFAu4BY+z1GUSFCeoTaBM6VW/h4ebu0s/T5cuayn6mC1A6b9D6gdoLPAo3dJ1u5xrLCiADAwOmaZ4/f/7tb397Pp9HCJmmOTo6evDgwYmJiYWFhcOHD8ORAZ32/dGonbG+++jTldUOJrl2u1vIO5Hm6IJn4sSKEss0vSDoRYFpUA2bYSST5kqZkkBECFvXNSR0TDSOdRldsW8HTqiMeoQToel99VXMhc+TiEUsCetRNJ/UW4gz08gjrehkJgytSJEbeyJCXUoTTcMUJZHfCHp1nIQWpabmmlJeJ3qdZrO5TkiSL9hUpn3rBKFHiMjlMgLFYSj9JFwnZ5m41+uYphEnPuORZRndXotSpFESh5Ft6VEg485btu55nkAJwUijAhMpUGM86OuZMUswpqyPijIAEpamG8D9yDAHJOHccvcMDR9v1xd6YWd4MFqsZXvh5IDxn3/x5xE1ZTYXGUYJY+l4Lc25QeIIkE9j+OZVVgsKr9RPyDsEXjJq16Q/h5qbn4CcSalQIOuDigZ3xabUfkzvAhh2uj7cqVTL143MYBwJ7rHpHtNz2VLvlq70RpTVtKFxNckwDEHNl95U6ijavBi+L+0BwV5K13XbtsGE8+/u/zvdMsN+JNMgSWxNj+Mwk81xKpO7ST+LpG8tF3NEaNj0DUPfnxta6PXw9sFwITzx3Ms7bj8UBGso75Y7+NJiNXtoV3j0/I7/ePf5fzxyyx23L6wsRjHzo7DklnM3DXutjr9We/7kuemxiWJ5sLWyKkkkFTySYVV1w4jDCAb/rW996xd+4RfiOAYrnzRs1ez6bv9IZuOqVmdmZo4cOXL06NHz58/Pzs4Kwd7//vcXi8VCoQCMV6PRWFlZGRkZAYUX3E7ghICTewNHe2PlT+nxqzJk21GcqwourHAadgIgpdq9CkcVMqgnquU3vQBms3BgA18I4FVJlEBDD+OEnPYbAL7VoqipwdqptC2U0lqt9gd/8EfNdlfTbGraUUz0nI01UigOrgWea1mao/ucBQGzCgXLNmJM242GTjUmmGkYsU5wKZMkkT2UadXrxuq61gmdgZzI6O3Ac3TavlSZb3Z3798XGw4bGTp15uzNOXtkZPTCcu3495/ddcvBlSeen77tYHz8pJ3Pnyvg/cte447d86cvnHruhW27prudtt/s5oR54eUzkzu25/PFTqvb6XQmJiY45/lCljHpyxbH0gFa100a8zAKnayjaYYXtTGljuO0213EODV1bBiIIJkfV8bpQ5quyautkDnPFR2ALa8gpnxNdF1vt9tf+MIXHn744Z/5mZ/56Ec/Ojk5CRbWCCEZ5ltKeeXlXlmCQyOAciruF7Svgpuo56rHay8Azqt+YXHVToc7Hqz1FZkttReuvUcQpgLugZUeZAeDpoDspHu89pavUnP//v0Y40wmMzY2piR5mymPaoH20zYjTO65920PPfbk8NTeZjswsB4HodlP5qpnMmGvZ5eKXmO90ek4rkUc2+eCy7DtZhTH3TjUCcGYIQ1RSrC070acMyE92RJbRIQlSRSEgZ8EvmCJTnRKik5e03QLEZtzPUp6FGsoiTlmOo3iMPLDCAlmEOzYWYplJKKMa9bXa0HgGxoaKBUwYmHo9/r5qTKujRDqtJsy2L1tEV0PA48Tqus0CDwJYcT8oKfrUkZmaBbWdWmsLYMkxZH0cpN+dH3jLSFQgpB01LiscZOhlJRYSKZfgfDaErAyZgBFof/kE09lfuLdZm6oFSMznxWLFal3A/20xCQZRAOjy3EmAewbvK3VWrwRhTTpVnOBAHhw4YEtBiJheA7VNvwL1xu1X9TBoVArXf+NmAi0+abxSQp2G+YGuX/BihzqgHBPVQMFFpzBvC+fV+cKwE7X9TNnznzn4Yc8v4dMWzd1zbQZwrl8yc7mQ8HCVheFzPcbhAvN0u1yNsSJZaBOWJ8YGajGpLNj3FhtaTVGC/kIx6fPz4+5Q7hQaGJSa7TkrrP0oNrhw0UH645j6sTWTUGMODc2uba25hiGbpkk4Qz5IWOYi1hei2XOnSRJHnjggbm5ue3bt8OSKzhAAOIgCGq12urq6rGjx48cOXK2/9dutyFaTD/8Hrr77rtBbocQyuVyhUIBIVSpVCBXRqFQcF0XwKVopSLB8HxDWAEF2+sobL6dAE4r1Ae+DUin2qiqjuoR7vfp3ZW+OqhqPw4Fxlg/iIrUWQPuwTkKs4uiSEXuSTtLw8jTGx4QYMOMVBRpgBsw/V//+td/8NyxKGFIhjDFuXJZmEZEiBexEZJNGmHMmYYw64dwJEZUa7dHRodlujfbFLaxHvuEIEsaAFF9ZMCp+a12e7ldL5Tyhe1jHu0NTIyHazJKpDVSHhoaLhjuC8deuvnuOw7f/dbT33g4c+tubefYo//w4MH/8P7KVx/b9Uvv7v7Li80Ori/OHbzn7Xt3Tj937IXS9NCok7d7rea5+SAIsvkcQbheXTOojjGurq9hTDutts+TweJA0PER1fV8TvS8KIrKIyN+EMRBKG1YGc/mc61WQ4br6IOXEo3Lo+/yXSi9X9IABA0dmG/ruj4/P//nf/7nX/jCF7LZ7ODgoO/7nudhjD/60Y/+3u/9Xq1WE0KonaKYFRD/bEZOWOUNK3X1n+lxgs4C+Lw4jsMwVNQfLvqAOXByqA830Ierd7f5LWxAZXir8vgCkYReNlxWNzdy7U8ARPv27YNP1DG2VQt9S2WZlPzet91paiL2e8VcvrXWGhocjRIuqO7FMaOUE+TkS512s92sFgeGmAyeZIRRzLkgGok5I0JwhiiLRCJYkhAh47ZrGNcW5wlOKNUNatmGbZpYR3mcjATcZwkSKJZWTElbN3GCg4R7zUonnytmLDMJkU4013EEx4HnLV46bxjGQDHHOQsDr9ttW5YlU38i3ut1+kCmlmV6frcfBIEiOYrENPUokgJ1TSdhGOk69QNZmXEiZGpe6adgWlL5KMt9myQMz/vcklwdcdkkBrDiFTCSfvI2bgh27vwsnzif33UnC2LiWnGY5DIZmUYaqgrBsbSOlV4Qr7Bcr7zZ+OSVxt/A/9N0D2zUAL3h0gjB9EHwqS4nMHG19YAewts09m44Mt6gObxpfNIV5wNXPaAaCkCKGkLoAQjhCH6Jiq6p1uDEevTRR+fm5pCmGZYVhnG+4FLHtfPF9Vo9bHZw3qHlAhrIaYhIeawXBa1O24qGXFcru0KT0ceInTl2+vTd733b+cU569A0X2765yqZqdGZZ05O377/9NGTYbOX3z2pN0ItlxWVptdpZRgazBSa7W6z2XA0PWCdJJE3YFM3wn66N1jpXq/3jW984zd/8zdBMg9ySN/3a7XamTNnXnzxxSNHjpw4caLd8qVlA0sM3SCE9jxPoxpjMoPP4cOHYb6KGAkhZBL4vkVIq9VqNBqZ/p+yrVPwgcKGnbPh7ev8mW5cDQC4W3DJUffddE3FFW1mvF7neG7s5xBOGgQb586dm56eBhMoJTSCwBkwCzgFAYHVvNKbfAME4HpAKVVS1V6vt7Cw8MlPfrLne5puJwIPDA/1EmbbTi/wRRiFScQxsm3bcbMRS2LBJQviZhdadY0JEjGDkJGJkVDjEebMMigmvJhxihnS7LTnqy61cM5iQ6VsqVC9OG80ejXbQo62fWCieXo+vnmq8M47/Ocujt62u9Pqtru9wLHCene2Xn/LjulTmaAwNvr4g4+GPb9OV9umreUyhXI5iiKv0w08P18o1tdrA0MD7WZLR/pyZQVbpmHazflVJ+8yisNGF8lTzKlVaxTLrNWS0MtjQwaCVQJXJh9Ii43+3+W8p4qxBsDyfgR8OHaU6WSfPQpWV9csywoC7+DBg7/1W7+Vz+ez2WwYhrVarVqtlkol0BMBwQV3LbWzgPFK06LXhE6KiAPXAvivTgVAFYX5CjEUVqhhXHunAA2orw4eGWohikDong5ypjq69va3qgmcX5IkYMwKLV9FDoeJFO9ESbx7145dO8YvLq5nM8Xl+crEwHDMkkSQXpxgoiVRlDUdLa9hb623vui6WSk2DcJstuh1Q8swWER5X0bIo5iFkWRA+mdpOTNMNUyJLgSVrIn0788QbIgkIoJrOmZREHRqiRdLG2qeTAwNsTghPDEtPQmTtdUlzoSh69vGhoIgiLxutycvq6VCrp8ztImwsCyLUtxqtSjFGdvCRDQajZzt8jjCBuVJJASjuiVYiDWTYkEpiWOZPQ0LzvqB4yUZ0eTwsJAhmqTYCGFBOBGS/etjuJQkpddUqqExL2qoHUTdar1wKIe7S4LKaIF9O+7L3JXkj2WcTaEYEUWgtlrBH/Fz2MwbMDyOY0BU2PuQoUihMYwQ+CdgmNTVQm20N2gWP158Epygil4A1YNjxvM8MMQB8xcFsjRdg5gi9Xr961//Oou5m88ETGQLOUp1TTOqy2uI0PzIsOk6RDdQnxDrlhllY3d0uNpqLKxVW2e7Q7umM0MjFbHq8NLRJ56Z3rN3yRDrCGUXm5P33La2sJq5ZXf9yOnb3/eOswvzpqAvHz9hBoxHybKBCs04U8p32u1IqoUJ0TWZLaLv4azcZYUQ3/rWt37913+dUrqystJqtY4dO/bkk0+CZi0MQ9ABswQnLKEyp5V07jAMqy+coIODgwcPHoQ2FU6A0odzblmWbdu+7zebTbDTKhaLgHMwAKh5A+mjGgMUoOV0+4o/gMNGWeYCvwt3i3R9df6lH27o5U38qVbz/vvv/+53v/u3f/u3cBjARoVjtdfrKbGQkhykp5Pe1XBuKXNOqaXte425rhvHcS6X++IXv9jpdKQMnYjywGC7102oFnU7ViYTsFgrFzRD55x3MMLUoESPKfEDnM8WRC92MUF+VKvWA5FkBrMaE6ZhxhkDaZpLNYsatUq1hEZCQvRCrnBo78KLp0Zdx8/oo9vGzj/5nD08EG4f4OFCdKHi3LSj8sjzd37kQ49/9u/e8qs/t/bkiSRvHP/+McOxJ247oCeisby+Xq+3L83JoP2lgRcvHjt08JbTp08bmlZdX987tZfxlWxGGiExxm3DbHY6OEkKY6P92WEhuNHXm9drVaxpAFVABknr+3dgoJhw3wC8Akj26YYEQl9Vh/vnpujvehnqsO9GFxYKpT/6oz8aHBwE2mpZ1vj4eLfbbTab3W63XC5DjgGQ/aj9pVxY0st37egH409zQrquy6ia/RS/4COs69LRT7W54RP1/BoLMM4fPlnlp+BmoZxA0xh4jS1fvZra3TBZaH/DKZhugTNGKCUIDxZzd7/l8KX5B5nfGxoZW61W7Xzej3zDtH0/1InOQ+QarpkTfnt+fXY2Wx6kHLe6KwJpIUco0SGElaVRy7QxlbEk5H0jIUmiMUyozEXiIqFHPGTiUtYx6vX1OPQZS2zLyph5S7d6HQ9FkalpSZK0mlXGGJicE0IW5i8SQmS4r6zNOKvV6pRS27E0gkGGZOjyIAmlfk3PZTJREGg66XbbMmg35p7fBTVcH/5S+QzDg1j50l6bCywd3GQOXvUnIH2nFCldFg/1seJyDYwF5airm3aprBumGfoh4+VyOZPJxEFA7AxjMvOPVND1nejgjqrW4vowWY3tGgtX7AWwYjNyws0BznfwEgP/pyCQSeVBoaTUSsBgwTDUQ3XKXOPwXmu1f92fr/XL11l/q4mlBQ/AIUFghlxOMvLqag7LAP8CBoB4BiF07NixZ5991rKcXquTHRnVDUvTjdXlqpnJF0ul2NKYafgUJYIJggwtYRzrlpk3yslQUSzXFk+cG79dd/OOhcRaENNIhD3PGhowKnNLy2u0OHDqsWetfHEpCIOGHyG0Z3R62YzGqb1IPfT0+dW1Wi5fjLpd02aJQEyPWMIUVw8CsOeff/4zn/nM6urqs88+e+bMGZnTKo6VjQVEhUGIAMcjTd6knjt0HCcMw4mJicHBQZhy+rKrpg8ZG2xbxtLodDrr6+vgfQAp+S7LeZNE3WVf5zpecT+oNjdvCcBsxRbAmQe0VSE9tLkVhqjG35QCHGndbnd0dBQcDtIWS2AK4zgOWLVv0LvBCQ3/+r6v7kngqaTQOEkSaFnX9ccee+wv/uIv+vHJbMt2vTCKERUYSYrMueM4luVIJqnnCcQy2bxpGVzaMyQk4FrOrUeRVshRlHeCoLW8anBhDxR0q9yuN4YHyu0Ct60Jv9rOGzan4Zwdlfft9E5czO/dvmSEU2+9DVXWE02Ldo8NUGfu0qo+MrDwxHF924huWt+vzL/l1vetX5xD5YxRKvRenmUcje+cnp6YOnHiRBBEu3bvXV6tTm3fFYWhabjr9SbHJGPai5XVYjEvuEBtz3QdS9PXeg2EMdU03TA9z0McY0EM04SbtGR9+q47lMoTEaAHt2RgKQCMEPheJgRGWNeksq8fzDCm/TxxGOOPf/zj73//+wHTlBw6m826rlur1ZaXl6W0oFSChQNuHq7gsDHheLt2lFOMyGZkBkIP5wGYWgOepPEfpnn1zXX1wahvVVMAKPXv1T+/jrfqwpBOzLBVO0TGhwT7Yv7ue972Pz//N35iTk6X51odatuUEJRENqWYI9O0sSChXsyNWb1oNhZ6xnIw4Ro1E050XXJFUtOGcdLP+8GFXHrHkWIjyWfgGDGRyIwntVhUWsvcMozBUkkjlBAtCRMUR1Rwr+snSYSIsCzTtHTGwnpzqdfrDRfLpmkGYdjpdQghuXw2jsNer5OxdCJVW2A7xAjiPJGRcRBi/XsxkmlUhLS1AEwIw0BaViQhwhKN4U/TSJJIb7h+JlBIbS6QDKYtFREbQAfYTjFGDMUIZQ4collHchFBEHf9dqt7WfrSPyPBOokz0RfQShEbHJ0KKzY0/kb/TB8E6TGo5+qqoCZuGAYw91e0c4WDQzWl7O3eoIm8aXySmiFsY/i3L9KU3mqmaeq6rhK+qq2ubmYKHPAKpHAIoSAIvvGNb0gLAKHpmSzDhBjm6tJybmzScF3NsoSG4zAuOFkkpHgzjklIURInMUEFLR+OOB5ZXnjpzNTh/Z2snSuOzCzM73rHLQvL7Xik0KhUy4dv4Y88PvnzP3Xpe09JJqk86vu9yZHJcLFqmjp1XR54hOqGZUtD1L6xNhJIBsqXITtkXk9CSLPZ/OQnPwkhdAF9FaMACh3YEr4PYgkZdMQwtDD0NU27++674RBVxjFKoAo4ByRe+tZSmuv/+b7f6XR6PXnjcRzHdd0bxSSpVdhcAOqgVhkqwAhBanj52tc3zoXrOzBPQEEAIGoXbW7/zXoC2zibzd58882u68LINU3zfb9SqRSLRcdxJGENgr5YnsJ+3qzsyGazagowTQUcOEGDIPA87w//8A8h6kzCSMyIbjmOZtn5fCjVCxpFNOj4hCJXelZrnLNus4F1TSYvyNoJEhomOtLCMLQy2fy0gYXora0HZy7u3bU7jLhp2p2wUxout2pthMy8h7ieiKHi6tLyzlsPVBbmbINkBCXs/6fuzaM1y6o6wTPdc8dv/t78YsqIjBzIiSSBJJMERBFtEYdeVdJUrS4QXbVcrTTdtpYlglhWabXVrYCgaC9r6OUfuKqWNpaipIlQghRDEgk5x5AR8SLize99453vuef0OndHHC7vRQSZkUjq98d757vfuWfcZ5999tn7t9Vzp5+77567vzK60Eyche9+9Yk/+P9u/R+/J9qcRFmGB+rxLzwx5zSGcRyfXKWL7ZuPH99aWz+7cmGu2y+lzDMZNLuj7V3KGMpLHXci8Ivp1JKUt/xkPCYa80Y5vi9SkUYJ59o81rbtyvT7stck6ET1vVWhTXk1vhLREJR6OpS24NVe29XHcRxtA5TnBBObO5xb03D6fd/3vT/90z8NdmMglNTVqzMzM51OZzqdbm1t+b4PaAUmA5CrmawXk4ApBvt02Logdi+AS9VZ2Z6F8/wr3b9kQCwDuq2fxZ9/mc8zp9mMIWFY2VVfF2XOqCMKRAl68IEHbrv15vMbURqNHB7kYWzZnJTS9RpJoQkjjvNQ6nPt/M23bF+8EAnRbnQm46Td6iRIO94LVSJVqlJbOWvbHqWSKLZoph1vdXzDaSkKbiPfdebmZyqWK/MkLUUoRKZQIaXgvNFstzFR0+l4MBhanLqu43luHKcasECWrWYzz9M4DvM87XQ6STiu5kirgYoi0+dPHc5Wat8Oqb0E9BakFCgOLcvOi0hV9nYws2BhAkqBSnLV6ElVlBG4aKu+Vk5ICNFKq0RQpVMtS8moGxHk3n5nmg5KWYg4ljEpiqLdbgshRjtDUqaujvXbcCySZhlMh5kFI8GbJ9+BRJ2e6yRqnpuH+1trjDeAl0LIFDiRgmgOW4k5Nf1ddOclk5OgM6AHhg0SRiEIAs/zzGDBwjajaaQKeH3Psi+K4vz583/yJ3+imQJBzHEs193e3mksLEqKWRU43c7Z9mgQd0VaFloHTli30VGJRI41VqUfdFvdMhzlJx/96qvf+D88newq0Vp79Am7szy9a7n5hbPTOMNpua1KNijm3vKa6KvPTTnjJzfT4ZAVqdNozlnW+sUL3YavZ9d1ZJrmWa69GATcN+v7A3DpB0EHJCdgkUArV9glnKI12pg2VSyLslScs/vvvx8GB0gE9EMgG5lBA0W0GWG3+gghplPt2zoajRhjc3Nzfxf0ZMo0Uwadgq9AyvWFatYAHBrAotbA4ZtCTLEvecKoNGzbDkNtvAndSZLkscceG4/HDz300GQycV13MplcOTfquwAw/YY5MkwBulPvJgheeZ5blvUHf/AHn/3sZwEHz/VbjutlJeKOPRlH2LYRwXEUcn1lozUwmKgk0wiTXrMhEWZIMcdVhBRpYdmO0F4yjBLUP3ywvLhz6dmzzfkZ6lBM1CQgIsbp2Qt3Hb9tExX24ox8erLyzKn2bYd2T523z2/zOw+OsHputNPcTB5vZgceGfID8+zA3BMf/8tjd73Mth336OHpyxalKPipnWhn9+zZswtziw53dzd2HG4rhLU1lT21EM6i2HX9SRrTpGhyJ+cs2d0tZOm3m7ZtT3eGiFJ96+Fo1SnEQNBiimXxygdKnzSqwFeUaBRKQvT2cOWhViMBvCEIIoCxNA2nt95y66//2v8JRkjmUGESMH2MsU6n02w2B4NBnue2bQdBAOc0o6l9obRnZnkPm7p886LDkWk5D3DtAUcDZh/uGl5odXtoCdiIqdowB2C59TV4YxXteQsKBMwk05I6Ye/Jz6rbMarlGrK8vPhDP/SDH/q9P9wdbLWX5rQsEkeLB5alEpw7Gn8SKWRRC7M0j/sznXwcbm1c6Lbn0mgoXF+b5GHKECG4RFJptZKQZSpDEapSWpR3fc/muRJMZL5k2j86CRMNaSmlY1tSEtt2HYcPBttJknie0+12pRJhGCZRzB27GTTiOJqEoVSi3WpMJmowGASujstbYSMRDd9laYUNY6woMtd18zwH4tFHFMcp8lJU000oRdoPTos8otI7AXURAhJ/pZ2qjK+NlFlRUWW4BEonXUkQqywucdv3NP3nRWDP5nne7feCVosrDcBZZun2aDIq0lJJcI2C09eeWXipvu4nv2uRiqFboxcAwgZTTjDe4JyDV+m1Cnnx3bymnASL3GhQYQHX64OuGl0rUIl5aBQ8UM6eDoA0DeIR3Eoa3gE3UCAP7XkLat//UO9VUmjDQIv+xV/8xebWABOOkIMpHycFCRrdVpdJMrywQTDeFHkraMrtrOv6ZSwH6e5mMi1tNZsd6S06g3zLcax+/6adzH/qy08efv1dG1uhcMlSj53c1khe8WNf6Lz+u8Z/8RV/oUMu5azAJNq6dGZb3XWYbETx5m7p2WRhNl7fRZ4vhtMiiS1GUC6Ly1SuF6fxIYfhMhNfH15QuwJWmA5ipFmquPXW2++77z7wazM7NCTq9FQvx+zrtivONQAAIABJREFUlNJOp9NqtQDN5fz5847jNJtNiIEFx01TSJ2Or8htWoG8Zwrq2WBe9vdlz3zt+WqaCgITkIQ5cO8/yu9vQ110vlbhppYXnzALwbKst771reZSptvt/siP/MjOzs5jjz2mEXunUxhYo0+uVw3thKJgNpE+lWrBHVXGnJyzEydO/PZvfwhR5ng66k6r04vThFosjqK8KNtOkOdlwBzSs0tMCiUVoS1uW5SJSPstp8WYjIYIl7MLs2WRJTlR3MmoJShhnVav0b54acWdaVltH6dl0Gp2Cmv19Cq9bTlyHX9hMdkcZJvh8pGb10+fUydX3vCKhx5+9LO3v+F16YkTnaVDyRy5+Im/nb/nLvu2Q/L8Zs4s58QlnhaWxWcXDmaT8MyZM8eO3JSUhYfsKAwdxwmLfKk7s3nmYu/gIg2LrXQ8vWlGbo9prizXdputnY0NfX1SlF6nVWAlc72hK1Tq+G6WVpUVmVbHVrcS+lKjKPSFBXwwIpalAZaiKKr2IG3tWsFiiyBwfuIn33HPy++oGIteR3AyMdNRpxlKtf2fEHqP3NzctG272+2CNANLo07w9bQpzTysF2t+NQkje5kbQLhiANEQuG6dcsyuCSWYWsxXU7Kp10hIJk/9p/3dMSXcWAIKryuqTXWwQqHN5qFGltZxzSTSVtb0LT/4wx/+3f9AykGeTCxGqbRWzp47dPPNJUG7WVbYvl2GTEhf2qhUrOVZXntr9dxsp0nyqaescGfCXG9UZIoiVGQ64LnfDWyX49LSbl9YCJwVaSa35FA7q2qrNYqorRGGJMqztBiPcs/z3E5DiGJrc00q0Wq1eNtLw2g6Si1LKy8LkY9HGaGIcySldmEuigwTxW3NG7V9ttK2pKAAhtML0SFX9A07q0CNiP6raRZc3mRl/1BZ9+tgPfrioRJjy7JgTDdOylLIHGGplL4l1FOjYcVTsnjATgfEa20rHA3H83PzKN5utWc1jEaZI8JLYreaFKFAKb1ShsMhHEG1w0cVixAY6Z5JMaQCCTNZoN3/llvz86ScPZT5PN8y2czrtm1XwO76dJSmKWQADFtz71TvwnV2ino2YClmK4RiryknQU2UUmDfMKxJkgyHw06n47o6FDmIeABUD4oNOIqB0GP021ATeFuA2kAp5bquUZeZNtWba8blWyaqFupb6uFw/Hu/9//oGOmux4L2JMlac73u3IHBYDoeTKjv+c32YreTIjWVOkibx+1+0cVFUYpsa7heiO0lt4N6Qdp05jN86eLpcGWNH+vunB+Lp54Wt9zJ7ryl9dSEHZgln0/Um16N//Lzp0V09J77GDlJ+64UM26XnD3/3JzlbTq0Nc6k7zBZFElMqs3PjEM9YTb+ejfBhgBkF9DNQnphYaHdbpuTgRkuk6gXYtKGsOAMDdL34cOHwdx7Y2PD9/1erwfYX1BUvUB43aivTOPrxZq6bjgBKxYUMJd3v+pfVumNzQkbGmb01Xtau2f/uOHGXOdFgFrQukLX/b7v+z6TE/a2+fn51772tefPnw+CAPZXk2F/AhpvtkOYVqLRpTVs9S/90i9dvLSKtBEGcjxnO5xQzolF7UbgMq4xipuBBozI3EwK2200Wq2iLMeTCSPezMFFXqZxHBGsdtcHGpPS9R2fWY6lsMoxGaJsbmlxsr5dhGn3tsPbKm0en0dPi+Tseuov9W5ZXk7oxtdXdt86Y913rPm3Z5+OtztL86ceffboLQdOf+XSyG/cS9v0jiOPf/LTjLHWwYVwGjLM0iwar68vHlicP37T9qlLi4tLWxdWvfnZeGfCOXdtDztWmuYqDoWSXconUurIKpRmUYw0fqC0PEdvG2kmcm2LymwOYHllUSBZeV5QHedOEwASSmq8GIywDoNhWeBVak5cotqE3vKWt7znPe8BSz4YcLN89s8IPCFEB6drtVqDweDMmTO+7wMmkLE2A5UMiDh7CoEq9jx8nl+NTxyQNzj+AN83Yg2w5T217Pn6PKt7abNpJEQpNS5WJavcc/ddb3zooYc/85nJYKU3e6CkDuP+pbX12QNHWtyeZMpRVCMOYcx9u8hzRdTCwsJwazUdxx53fcuVSthcHxh8v8ERtmwmRYbKIssFBAlARDILMeJoPC5CkCqLLM3TEBPkurbV8OM4Go9Tz3eChqfNmYqsLAuk3fUReAaUUlthV6Otfew0pKXWDUmEaKXyB5ukyn5bwj0AiEQw0qQKz6A36+o7qcrRUF7VdGuSRlUo0OogjZXSFqsgT1dn5ssun9reLk96t7wiQ76O1qJhNQklyNHGPLbGJMhzsPNwHBsGGTZr8LXMsgyQycBo1SCYgIsokNkecgJqNIr/+g0G7FMvISHBfgG7A+xHaartwIwRHuhrTI9Moi671+Wnq64vrQO6ViehRNBrgTwUx/Ef/uEfFkWxurr6C7/wC0EQgK4CTIZBXL0ckaBy2gLol/qdGlw5QR5zojINuKrEYH69VgIufaGrf/zHf3z27FlKrawo4yTxW12L2DvruzliveXDtN1MpJwkueLcdVu5LKNcEGJJl3Ov76gRfeLicNF206DHrHHT6SwsbDz69K0/9uZy3RLuaBmRjZ3xJCXBY08kTZtF2Wga3vTGVyQXR6TbahI7dtTuaLQ4v7T29SdaS32xGxaloJTYjpNm6eXVUXUD5ICr9shMZD0PLE7HcR566CFj11LPadJXLXPPQ2DHCGlnctd14T5uY2ND63OrD+SH5QGildHrgDLMKAv3lPwivxopB7oDdcFuBOI1UP8e0geygVde0DjccGvh8GB2NajUyE/gc27EvmvVYvRSwA1hfVboo9ow7yMf/v2HH34EY+b6QS5xmuWs3dMXUm6gKJOEeH4gpGp0WgQ5nm1jysJxkhU54TZzeUJkkahUaD+dRtvG2pc6nm4Nldpp3nokodhud8abO3Ozs9HucOuJM/O3H9vOMu/uI+kTZ92zA8HcyaEuw2Ll4S8feMtrCq+zffKp2Tf/QOuP/nz8qlsRunCguZSurJw78ThvNKzvunMYRg6hnUYrmm00T5zaXdkqG1ar1z073j3itSeiHKqy6bfHOyPeaGj3gigK+i05ibT041jMstJJqLcbRqlri1yUiTb4gImWUmnn0QqED04LMFYwsFolUZnKhlHILTDS0gawcBN99913//Iv/7Jh8SDoGDK76tSYeUEI9Xq9TqczGAxOnjzZ7XZ7vR445hj0rHrmemnXr6Ke06RBywUsHjoI0JRpmprYO0AqUPgNVGHq+vuQ0AjT+qSthQbGCGPkn7z9H3/6r/8qjzZ8fmh9kPJGO8wm48G240kPBY5EhcVjlUci0ReuUkPHSZWnxVZWYt/SkccbNueOjYTMp8lk+5JUWgFJKXVsz/c7COeFiLFWNOZppFFXfM9pt4IsT8Lp0OKery/fdOQcKVKKkdb9KKyxlnAVQ06JqrVKSizK1NLmcdrcHGMdK0RbbWsDiRIhpRVDl3unRxoYFFApEDDMspnraupZZWmto9CBsJJrjAMw5dauCVX5EmNiKSJohm96Bdnc5NTNCg3O6VI1UWW3Qh7W266OWKoNvsGQHKYb+JUeDUcfRZRSYRju7OwQQoIg8H1tKHLVLRiY/579yNyCvVS0ZNoD7BdOR7CpgSQH+xcoaKG1ZvswA7Jnv7hq9yHzNeUk4CkgrxVFwRjzPO+Vr3zl3Xff/Vu/9VtbW1uaTKsPyENgVx/HsRZrtRVbliQJTImZIaCAq45sfbe7aoZrPSxLjUuhVDkejz/2sY9x280FxlpFyWyu7TliIfxWCxEynU4lIwfsTsFwXgUhp4jYihFBncTKuJffcXzn4pqKV535Mjg0P7VUsD56+uEvzWml/aG1C2e421y85TWXzn6+++bXJ3/8afzyV4yneW+8Pe02V79yISSRjhkuWXB4WV7aSl3KC6IIEfqAUcGjXqsP+55XM6rtTqqlov/C+EA0DKADM8fXmd16wSYbvGj4LFhmtFqtKIrCMByPx47jBEFQD2drEOLNDNYXfL2WG06b7pgSTF0G9wXWBrTc/GpevGESMjU+nwSoV0F1D1ZExjgMFEgVOK9rHl6rTGi/We3wVas6FPrif//SBz/4QUothGicCjdoEm5b2Haafpgm7U57kiRlmGFK8izDrpDK0nh6GFscK6aBVItU5pjbrWCovZQZw7zd7RR5vLmxjjcm7aarAVy4nfpBYWMyCXdX1oP5eemo1vEj6alL06dW8B03eTcttjZ2is+f8+475Hwheu6x/37/a1/3+CNfPvjG+/GjZ0938aI1Yx/w7Iv5+pdPCodtb511ui13rt0+euTS9tp0HC33Z86fPttdmLOp3Wl2Vi6etPoNJjQUIA+8eG1LCcEDnyhSpjmzLexy7dumYbiV7eignkJIUWSoCgBHKmsejTSItfIYPKkvRymXBbd4XuQ216p4jdGPym6v/av/+lduvfVWYErgyAbEs0c5Wp8jQ1dwy8AY6/V6jUZjZ2fn0qVL7Xa72WyaE3Zdxq0XcgNpQ8bwLjBewD0y/h/QWbP1miVsntS35xtow3fylQotWjPGIs8tzkVefNfrXnPfPXd88bGvXTr7XP/gvVOBtSnbeNumzOVEClFYEjNMSmJTBwtrWgjSnpvxe6O11ShPW7YVhjtoLLIotqntcZswS+NuIyxLFMVTUcayTDnlSCpGiWPbqswnoxFlZLbb3p2GSZoDYRCCkiTRCirbJkg7CmBVMqLlDm2SpCOwFYpr+YFQUA7p51f4qjbfhqm5Ig/p1zC+ihRSEZI+A17JWd3J6Ss8omm8rIyWLlt3V+KYRl4q3NnOjtVuZltNz91Nph73HCxHhVhcXNAMhCiKKhMouNyrwARM+SArwA7SrT5SyjiOR6MRCP0AWgH3p4Y7wetG8w2cFn41Asp3knhMXdAGWIb1FQSr2NicwPEGTJqMtGRWulk19RJMFZC4ppwE0g+8CSAiCKF77rnnU5/6lOM4N910EyiE1tfXP/vZz95xxx0QjRLqnkwmGGPwjt4THwBmCKwX6025ThPr2faniSZfHdPgk5/85NNPPxvHmdvoYcqDRm88SbFPWzN9ypyyzAMNqELPhWvM5jLHjHPH8WKsSlLuqLwRM9p0Dhw9cvHZp5PBesgLd2HJPXoLOncOJWPZmmO4PUut9UmCqGfFWRTlc8eOrH3pS5tx6Dp+O2gRZlHMBiuX2nNtZDnTaMooVxhnIqNcR2vf3/irPjFDAQnYFSilQRAcO3YMXqnPMVCDeeuqZRpS2P8rSDyEkEb1ATQBACz2PK/RaBgcRXgXWEC9AfvL/PY+MQow2J/gnA3kfkUNfrlCY0737W1AvTTLsoyxahVz4LI1bp2kgaEYwbT+ej1ttBEwd1DscDD41V/91Utr68xyqOVw16O2h5jGvgtFFIYafi/LUuJUhsYIp9k0K3XMg8vSA1GWzbhjsXZHogQT5fpuluU7UWhz1jtwQG2Os81RTlHz0MJY5J2leUG21CRhGyGdZNGsbx0/UDx1Vp3byRd783ffsf210+HmbnD8iLN68eKhEOEeKaZnB+Nbv+v+7Uce3Vkq2dlN5/CcODLLNsbj9YHa2p2K5J6jx5+JTlm705lDB+U00cAYmbBdJytKkaStXnc6neKsQJZ22ss0vAZimDCLh1GIyhJ82YBXVBdrOi4F0Z5yBKKKVv7/1e1JtXdhpM0DGNURLabTqVPZ2L7nPe/57u/+biEEMCLD3I1ytD4X9TScCsz1HK4ijM7OziqlwA2i0+mAWhcmrr6dQDnfcjHWq4P0VRcUVF1WoWHrZ5X95RuJbX/Jfz+f6CuhUmrjVM416CJnvW77J9/1zx7951+ltsriqR100yL2OZ8ONnCjYL6vZCEL4vMWyRFmbirLKMtRIYO5BZ+U8fZamIb9htdyGxqZXupAVUWR64CGApVlQRnSDqp5Viot6hDEKCPcpqXIw2jELa4ZCy4JRhazlE3zvCRaIaPLkqXSgETaX78oRIGwxgMvJdJQAtWnEt/1TlRNzWX8owq+SP9ck2hBrsLaua36XDkDawskOBBeOe9pH4srpCUJ0Wgg2mvPcpfvePkpyqlELsN8HO6myfbFs6XI52fntIB0WQLVmN9Ux3X5pvkHFmq0QdAwuEaAm58oitI0BW7muq5THVcgm1FnAq3uJ8Jvqunv+AuIblcG/BuDbA7w8JNpJDQeRht2ELD5A93zHl5dm6/L3bimnATvQy4YXKXUJz/5yeFw+K53vcus6n6//8pXvvLxxx//27/925tvvvnAgQOA32O4TL2E/aLcFZq4PJl7mnu5jdf9B/GR0yT5vY99TNv/Uqad/6mTxAXzXLfdIcxK0kjmAokiDkPebNtcyKLEChUY6VCHs23a9hPqdod5PufcdO/da48/GV64aLHAmVlEmxujE+fab1jeHXlro+2clQeP3r3xXz5jv+4B9dTXpysrMw8+GD71ZLcbtNiczAu2OL/59MnWUtcd4xRLCynH4kk8hU7AtNV7Xe+ymdRK/pUAMlbdPujVdfz4ceOzY0bVkMu1Bmn/lJuWwCKEqTRcGGKhNJvNJEkmkwlYs2oLxwqQqU6X16rxxp5fq53150A/QPFwyAZah8P3t9z/bqxh+9+CEQNlEkyZOWnBqtHAidXVz/53609AToISyrLknBdF8dHf/Z2HH/m0Y/slZoR7XqM3jiJR5FrWz9Lm0oIk1GZ9zXwrVb9VEr8RMMyztFAKWRYrRBIOJipaY9zp9eeS8ZQSbeqjBCpEwVuB41i7q6toc+D4DqaZbTnWcru8sJ2uD3xM4z5p3npk9YmTN7VaIRPNu49Fw2nkXCSiyy6ebDz4g7v/7T/NvfUfrTz8Ba3Db3aKZdS4+TC6sJ6H+ezsvE3RudPPPfe1p+3D/fHJix7Dg7MX5u+4efPsmqLUpjQaDb1bjo4ujZAQbqstC20+QjnTWDRCojRDzCKO1qtpnXkpkAbF4BahstRYvdW5HBFMPS9ACCVJVMqSah8iRSmdTCcYa8yYBx544Cd/8l2EIEI0LAKc1uBodx1lEkhm5ohcN9oAfXm/31dKuzuNx2MA3aiviPq6rk/0DaQNWwCqBucpEJhgye85IdSbcQPVvSSvGOCxSv2PmEW///vf/LoHHvzU50/0WgvDzcnM4nySl4qoncGOo1IdrCnOMC4QsouSCsxKRBueleWx3s97c9yxp1trkSiILPM0szmpYgPKgHNFrDSNhuMRQ7LVaGKMtbNqXtq2hamOpIlIou9BLJokSZZMtcst0r4DgDKgYQ+FRoQXGmVbWhaVotD2dEJft+mLOQ1/XZkcVagVcJ94WRSq+CzR7v2XPxKi8FRuMZTpA8DlyzulI8pVkExY6OhsiOg4KPoyQRvvaZHHtnqz1vIdNio0ZFORs0maIbx56VIPScfllfuC1F518NHRf7SvHEgPwJSAvM09L2SEpaEBoppNOHgDmsxwOORaoeCA9apha0Cf+41nLtf7Hfln2lDfBI1kUleymnbWNUyw/QE3MONzedj2SJfXsU+CF+CWAdbq5ubmww8/7Hnexz72sR/90R+dn58HJKjj1Qch1O/3YcOo1wr7XH0Pq2/P9fE0rKH+8FumSyEZwY888siXv/zlPC/tZr9QxLMd4XCv0ykUmmxr/F8N5ed680fmicUEIchylMJIFHYcZetDujHE88trjjWzpcR8q3Hn7fiJ0+Lieun67m0Hd56MGhcvqW5TNf25TIxd0Qh6zsGFU//xrw991wNThF3uRg6zw0JkOWO805sdbq3PBMEozLTvgyy1y+qVODumm3UJYH83KaFSm6nq00z1inzVq14Fc2+GdP9bV31iaqzLYWZmq7tT7ZxcP/eAob3rukVRRFE0Ho+n06nv+0GgNydQY4J0ctUavy0PodnQZqAZWKXwBC62jPUb2KDUO/htacP+QmDcwFcfJqI+j0opE6AQThdm091fFPwEhn3Q8s997nMf/vCHq/C6GtUiF2g0iUpCnEbTsrnmlZQpQjGzxuNxu9VIkqTb7AqJMkWw22SMY6Jo4XqWT0k+Ggx3sh3CaLPTZpQqixJGbUXSIj9807FzZ07R8ZQzu3RwwZB/dD47ebHYHrlNd13FMzcdHq5v95YXLo6GtsI3N46usE23OLJz9vON3i0kGspR9rIfeP2pJ5/0hLrwic8xRKYeCZNtCyN/to0slu5O27ZX2NbskQNkmmZJihq2nxfU85IstRHJbItyOx+PNFqS7xVpViSp3hoYU7alYn0JomECCaGEaXS96qMP7BoUwMVEY3ZLHUBdq5xsbgNyEiZqeXn513/938zOzsIOAQaR4G4CGkejyds/KUBX4JEKEwSZYd6BJsEnbjAY7O7uzs3NgWM/WFMZQn2hpAg803B887qR6mC5GYc4EIwgv8m8vzt/b5+AYAEWOIRo13rOWbvb+Zl3/9TnvvLOIrnEUGNnFS0cOBJrXU0Y7459YruWgwlBnKdJmWbCodzKhVI0yxGmfqPfLpEj4mgyHnJfIEupMs/TJJfK4g7lrMEDESdJpn2j9ORiHGcpksKyuQ7BlmiAOsuiWlypNEMayT1NtMyEVVEIzcMVIriiuUpLBGu/rtE3nolACYYeNPR29dFsoZKToIrqSllft+mIK5rVg50TRoqVZaZvGSnSkpJUSOONN+nswgadt8KB4DiTIt8Kg0MHkuFGEPjaClwpIyRRWpnKa9AQrYitU4JxuDYbihGAgJaUUoBIjpAWIuM4rjxJ9Rrk1Qfc219CwjMDa9iv2eZgYM1fSEA2s75Mx83r9fHZn76ePgmiTBvTxV6v95GPfASKAOslsFsCV1tY58aqCbqxp1nQYkMu9V/rvdrfyus8YZQMdnf/79/4d1lWUOZoSBUhJnHidOxpFGapsJjX784TbicY5dyyKckLwR2nFJXWt0FTlduePUgHVLaS5kw2Em7DXrr91vNf/KpI45k3PnR4dm7zmUtHX//K86c3tuzSeubx8eJS8PUTaOYwnplFj37JQf5WhJKNzSItbKLsmWYvi6YysiQShJRSMUIlrk4e1fIzM2oS+zt42apOq06rrYGgBx98sN1uF0UBrNOyNOgwTPN1JtuQ8p66TEAG4L8wX2bBm7csywLfnyiKsiwLw9CyLLBeqstV+9v/Qp+YGve086r0DdQCshG0HIBzlNJBl15o1S8oP+CbgbGLAQWo77sAnQJCUl3PtKcW8wrkEUI8++yzP//zPz8ej0sdc9wREnX6/ShXNPCJxTglYZw0uJ0JhIXqNdqolN2gKfKsUEhx13I54nYqslIhRaiS/vzhfpmlConRZIgT5rWbWPEhRpKUJBP9Qwfz4XR7db3dbrcKNqFJdqAzGk3a24OjC/NDkhdt3ya85XjBQK6Md2kDsU1n/jbExzdtfeUrnTe96tzjz4rzW8lrbyEOcltN4lBvJ56urMphyLCOvjKU05nc29jcDjqtbqudtXh48vzSgcWL4y2SZu1ePy8FLiXjlu1ribyIUptZymIFxWVehY6uwGY1bqSOXKedriUm3HYxoWESa59ujJmtcZtVUUwmE8aY4/Kf/dmffdnLXgZCEtjXE6LR7WEKzOFyz4zAVzMvhrxhjwEFueFdlNJ+v99ut9fW1lzXDYLAdbVRGpDxHhq+akV7Hu7ZycyvRlaDqg1FZZkGUYQtEN41K8i8+/c5Aa21ONPSv1LctqeTkePy7/3e73nXj7/9t3//3/PgIOfNjbVha3Hea7mc8eHGYG5puSjVJJuWxOaMegrZpbRdV0chwWycIcX7ltPtNOZwsjreXkXJpOXZDrXiLMkTablastKyZqFpSRtIY82XS6VEhY9vWZbWJ2UaA4kQLIRmtpUqHVdeljpmmva0FNrX0nBLpLTtnLnZATIw03ElATduQFb66Ftl00QKoElaFKqEpCv5iVQSlSXhVYRcjKjlNFu93tHbzvNZJ9qQgV8osX1pZ/beO+WpUzNWgisbdUSoKDVKH9XIlN8QmwxNAtlAO8yODKRihDzoGujsEUIAVQ/+pIB/W5al4zgAXPySkJkR/q4MF9x4XqUt0HGTrZ4DHMvMLWT9pz3pbxIz9/wGSxQkR/MX8sByha0aqoFzmNHOQTfqjTPTAyXUf9pT71W/wp0iWEFBhqIo9GSj8o/+88e/8OijltcoFU0ECtrdoNHKc1TkstnqMcfOkEhQIZQoszSNc0xoIouMycJiigfN7iFE+4cCq50PouHquFBJ5oSD9J57Xp5MsuHF0WxvKWd0/etrdquVBdaSXOrfdtx/8jn2xjeRs2v02QtbR5YXG4HfOdBc7lHfn26PSsZUmCNm69jUBabKBl4GyptvHgpSqUbhb63ruIpjSFQlFeGlpaX77rsPro3ByC7LtLIKFCrXGkyzNupiKGzh8MRw5/1kZ96F1gJ2AKgMd3Z2VldXx+NxXXEIaVj/pgpYjaaoWve+KVnPANXV/35T1krQrPcXWg6hPwBBJ03TotB4JPUX62Ner66e53mmATQSMsMagWE00iqwG1gjpi6Y+noV+iftSYOKTPsV/Kt//ctPPfN4joVyrNLm2G9EgmAeKGWLghaCIkUno2ESDsp8GsWTVBQ61kJaMIR1wPXJThEPi3BCNQBdRwqV5TJBLGd+0FtAEker6+LShWCadEtiUYxajtdvzvudaGNQagdtq2F3ZloH0ilCKXO5T21+buO8jjHi4WR9228txtlmvBusjVaI1xfro8HZs/SfvoEMZEfg1mZCz0zZbkQPLaADC9MwJ9ju9+binXHrwPxkOs1LYYdCWlaGGckZdgJM7TTJBbeY41mIi0SUSmngeYXVNNHzrDAnpOm6uNS35ErHo8C2ZYs8L4uMIEFoiVTBkMriWJ/FkV4sb3/729/ylrdALGGYl/oVFexhhpnAdJizqTlVw/M6mdUnDmgJ0FwPHz5MKd27ifebAAAgAElEQVSsPlciDl3Oe0UTXH9Vp6ENYFVZX5h789W+m1fMM1BbgqS+n9pNNpOo98X0t/7Q5LzhBLAjEE+BOQN3MjYYYH8DV/yQTWhrn6wUuSiKIGhazGWO+3P/x798xZ2vYNnYl5s0PReun0OTDPOm2zu0upNPJpJHRS8vmipVMuS+FSmZWEwyjMqYIBGzYLexnC3cO3PkHr+/sE3kxWTXRcmcRHZql7shwZQ4HCOZTCc5KQq7FCQv85xhksZJWUjX9ZFieaZEgTmz8jTLilxRgjkjlDLtVald8jW4F9UbUCn1TqQ/+t6MSIUKURZCazv17RkG77NK8VkN/TcFtVSlrBSlWrKxdOReIcuiFBiJBiIadlVgLc/ZJcK2WLrL4sdcK4xx5lCV5Nieb88xD4e7nU6HcVtp5w8NE6CD+2qYer0ioGkw1/UZr7NEyANkBrHVdEyLKnqEbduA/AzmSp1Op9/vA45MlmUXL17c3t6G0Ft1gjc0BiXX/8J1NjDGPVy6nu0FpQ2b3f/W/m5CHngOL5rXTWJPOdfTJ+3J+tJ+NUKbRokoyzzPL/u0jycf/vDvMOrkqUDcC4I2wXwwCr3efAX0hz3bKZUqkpDrFyXjDi5LWwhGeaGUDqLNA9IOkszCgViYpJdWTxcHFqnXHPS7rYX5+MlnNu+/5/BddwxOPOPdNSfX6Mp0qM6fDdis5eZnv/KfF17/K7PRicHqhaXmrTsecZHFhBheujDbm9m8dM5x7FLJLI6Jxgq7fKQwG2o1pN/YzvWquqIiKvJKL6CBlzQtLS4uws2xOQGALAKInXANZI4Iht1DaTBxZoVci24gm2nknumG1zVYTqsF1kvgHOd5XhAEjqM1edA2WCFmvsxOAFyyLknvqeLFfDXj5nk63hksdegpoGvUxRQzFC+mxuf5LjjBGTEUtgfQe2vlK2VlmROGf+3Xfu3P/uwv01TY7gyhtu/1SuTmJSkVE2nJbJ4mk1IWlo7nhHXIKqGUDmeVhapQ07HDrWbQCtc2me/zllXI2NXRDopWw5/EkUCY+w1pO0kSp6NJSyi34YXTZJgmB+a6HkarFy5252eTntbc97vtrbW13O/LtudKtPP5p/gDt9mUbH7t8faDb5h89a9mXvUm8tTjcZn5d9xmndvJPv9YeGzebXiNSbSRhMX50F7ozR09dObZZ/qd9thWC8yOx6kz30zT1G9qaGOZJM1eB46/3Na3GuPJUKHSCwKNaCxylBdKItf3ykKEUaRpkmCk4zBqJzjt0RbHOmBwdQWgodAsXhQ5JfSh1z34nve8Z3a2D3s22JAZIzbj8ALECaR+/eXwLWe5LEsd97ffHwwGGxsbjuO0Wi0AjYQVARGEDFglrALQWpk1UldifcsaTQYoH1a92aKMwsks5D3U/iL7a2rfk3jiiSe+9KUvDYfDd7zjHd1uF2Qj6CAA20Iz4EmSJLAlg4vGN0uBotfv/Lv/69d+9Ef+0Wi4YQWzRTrKuUVYDyOr1W5Np1ER5si2mKVhrnZlgkvsS+YwJxQYcS4IUiohWSy9GX+py8ajZHR+ku+OyxSphPpU5lGep0grkgo3ZxJLRVHpEEH1WbrAhSxzDUtU2f9JyRWWSmgpXYs0mkfr2zdQAplzIIxqZUhUaaqo1ixWnLAS4BEyVtn18a82Am2+DYOjjZMQZkRbFxHHEdMhkqXNvbLIyoIu3Hqs6DQSiguBbIltW7G8mCIqU4UszG1WUdHlhlVFYh1ouPoAedTprd4Ms3EAxhJwbHCurE+NEX2MA7vjOJ1OpyiKOI7B9YdzDoGbDHHuoRMzYmV5GfATnuyh0v1vvbRP/sHISQBYDNHUAeUPpN3f+I3ffPbZ0xp+rNktEec8GI3jRtAWxCaWV2rjOyuNJkWRZRqrV6aUIqW4EB7CQaPj9voRpaM8CaXfLhBuWUdxuLpxYWvxCBr63WPHo796eO30+uH776HOE6tfPzF/6OWNnr07vLD1/a+f+/j/y4/9wPrB9NijY48sXrr4RMpaFs98y262Olsbq41me7K1hpXG8CjFlTNHNeGGi111+quVU2l4kY43gRB6xSteEQQaXBXcmoDKQYcHCzKOY9BzGEZ5w/R3VZI1R3C4p4PbaynlaDTa3t5GCDUajSAIQByBNgAeoDlNGrc16LLhDkaQuupQPP+HRlQyghEsbLBrAU5Rr/T5l/xictZveaA9wEHiOPU8R0qhsPzTT/zZb37wQ1Gc214nEzq+/c44IhxR7iOMGt12qSQlGtGXMc1VtSZD2zVQpXCTylJJHdBMFhLLLAqLJNbCYrshRI4LUmRxt91F0knTvNPrJyIcrW3NUodTC7fau3ne7LW6jIZrO7ZFrcVutERKlJIzmzO3HpkcakdROT15tnPoeL4+ykYraOHurS98urj5eHDuQqO1VHzlSfbQrZ2bb1s99Wzes9r2TY3N8fozZ6ap7PRmFFYWtsphiPsthdVkMm7psA8TZBHfcybDkcxTYrkYoSxJsKVP6qIoijRDCmk4A8ZKjQWojZaYZWm4fWqVhY74pp2kSlHkOm5dlOr4o/qCuN143/ved+utx0Ew8jwd1SGOYxDi4WANW4UhAyMqwRSb589/ximlAHEEXta7u7s7Ozuc815P413VVY8w72ZDNVXUKcQ8fJ4J2MbgyARHc0C827+91fdFs8BvoL/XathkMnn729/+uc997qtf/Srgr5oBj+O41+tV0fo0D4S2wd+6qu8Kv1KOTV/32gd++0O/+e53/29pMfaaThKuj7MsaPe1JTOStsMng23Pt3HgIBs3LK4miRIoVUQxRxaiy1nTsbbTPM1Eizj9pbsTkk7CjWx7RcaRKwRVEnGksKRZwohSLt/JtGxUMTeklURanS+R1OJR5U+jRSBYvwDxwpgWQSr60WZBkNZfdRhqjQCOFNI3aZV1qWZNBMyPtEhkZq16XfvOaU2U9uW//NHY3yWiWBKMRIkK5R++617SXk65lzkUU1uFeWOmkazvhMNwuL6bxlGvdxBjrZAFdgrEYKTzPVKLIQbokfkL70IL97yyn0uDzbE2wK2sv8HHKMsyQBkAoz0ACarLZ3AkqO8FQL1gZwIECfRZ55ZXBuYl+/8PRk4CVmhOhHAi/9rXvvYf/uN/IsSilqOwVUg8niZzC0tFqQh3hkN9MUSp5Tj2TGcmTWOM8YKHMiRLxkqEJ5M4XTnftIObOzNbrbmsMUEylA1nxppNngnjIxbqlnc9+OavrD6ZP3faOnZ77/xmIJMtN7bHHpMKTbeSu37r4DP/+5ndA625GScI2SYehKNMiAa1HD9QZdZod9PJSBtSVH4H1Tx/Q4G0f9oN5yKEyTLXB2lCGGOvf/3rK3jDDOJjmxdBagEihqOqcdLZw4PgFdgY9hO9KdDwUPMEEobW4as5o8P2kGXZ9vb25uamMWSG4wKwD+OuD+ZrZhnsqeIFfYWO7GmtEZWM34A5vl+1cDPaV/312/LQVLHnSOd52o6qENmjjz76L/7lL4ynCWUBJh5pNUtJvXYrlwhz1/MbSZFjSrLSIRRRqaVnrVYnhDKuvepVJpV0/KaQhe8EIs0Ywiot841pmsXNpfmeE0ynk1xh5gXKtXDhtOfmxuNpHmOc+c1+ezKeer5jRR46u1mKMjzUnD26nPz1E+Ovni5ffXP/gXsmn/i8iqKFO+45/Td/cuyH//n2U18Ibj5Wnt9IW7Z7zzG23N/87Ik8mjCVr5ON0LFnDy1vjYdye+za3AoCXKg8HCeiwFQbz2IkXdeZTCbRZGR7LhYylxlCOmJoJooiTaX28Lc8zymKTM8yrSBsqqC2GqJaR8qSWAuTjDtuFEVSSW5pA/Zf/MVffPDBB4WQrEJcBhsysBFGCO2Xlsxu8SInGkzitNcepb1eD5A11tfXbdtutVp1Q0BDDLAJmcX4YhoAvYC9DbTLULgRlcxyMwlT757l82Ka8eCDD06n0y984Qs/9VM/BeXv7Oz8+Z//+aFDh/r9/mg0gkh8gNGwnzWZJpWipIwrhP7pP/mxixfO/6tf/beT7bQ3e0CwfLp7qTd7SMMZFbjX6yVZfPbUqdaBQ7xBp3kaYyW8rkUdFI8bhIRFXOLM8XJFyylbGONFpzez1JodDy/kg0E8HiCZOIwhKmSRFWnR4Bpxt5JyNBJAxSErWwgNMqlV+6hyZKscobQ6CRigti6Cu3OtZdKZ4IgIi90IK9+wZKrMBq4IWHq8q7s5raDSltqXBS+dScTTBrcUpiNl4/nDzqE7hpFirIEYT0fhjOsMo9Hm6dOd+WM7Z1fbhC0szlGKy1KDg5v7hHoCTrCwXwCfrIvXRn7dw+dNk4BUDMGAEGPuMSAbwFgAWgoYjCZJMh6PCSGO40C8FNjOoDGGDKDSPetxz9cXQ5wv/l36gQ984MWXghB6+umnl5eXm83mdfbg51MRBFqvz4pJ1wcXYzwej3/8x3/8qWeepRYXijDuS2a3Oj1F6TSM0qywLHtuftH1m4z7WakKRYnlTpEjaKPELaxcjzdbzUCReHt6yWaCMpmWbkZ6spCLTTQebhGrVfYDXpDo2bXenccG61vJYKoCx7Nd+uiT4T33tgu89Tf/1fmeHz40ma5nCZkLZm2fShRrB1RVZpnn8Hg61t6dpdEnXUahvdZoQH/VZWlKh2Xo9brvf//72u12ZSd6+RxjKBUGHO686/zXnBLqBGe46rVqN88N56qvDTA4MIsKbpGiKNLgtr7f6XQwxlEUDQYDz/PMgdK0qr4ITbGmxhtL7CnHfIX2w/6h9XnVxxjzmrpMfvPkxSTAXuTEiRPgnAhTAxMBLTHWGxRTqeSZ02f+8dvedm5lVUnL9tqW3cC8QbAlBOr15m3LGVR+uQ3f12jVjGrFvLbUkVp81oBCKCTc9hsyLbNJ0nCbiPCMMNJsSqaxl0bDUZ4mnFDf4ijNWZ6nHAuM/UbDFni6vtP0fL8VpEgS3xUU5cNJr9BHgMath1YvrnTHqEHIruWTYhjaFnXa8fnH+X2vH33iEXF0ycvzMiy3VrY4R0eXDsqZnqfEKIzHg5E/02m67tZgh3n27pmVfq+fi7TVaE4n0yLLO+32dDpVeeE3G6iUaazj1nHOdcyB6tyuZSDb0nZmpdAYrYRWiEqk0Mbd2v2iFAKi3hYicxw7L7If+7Efe//73+84jpbEqg/oaeCeDmOcJBqCGaLngtKlPvWGWl7o7Ju9EEC6Qe0KSPdKqa2trSiKGo2GMSeXUoLnnVmJRnh6QVXveQtKg00IdsE9S9V0VikFwVnNkxdU77Uy7+7u/u7v/u7b3va2gwcPQslBECwvL0spn3zySaXUvffea9u2EMJYtUJRZuQvd0EDvVDtal/Ke+66O43jEydOTEdD32YOt3Y3Ni1ut1rN0TSynKA5szC4uK4lDMZKwhl2aIltLCkpMs4tUTpSlgRnXjdDTQc5vJQ5tnGjaze7ttUsGZ9inGKsCoRVLkuh/Q8YohUmXxVpUQl91ab1QlgDxle++fpqC8uy0MvwG0xW/6q03teCsxlMkDnHGi4NIsU3uKtextqHrjJbANWUJmBHBwouM0FE78Di/W8cIV4yn0rXbjWnu0Ob5LzfmG5sHzh8fOOpM+1s56HX3PnQ615X4QvoACkVRLgOF6cdrauPkZAMHJchXSAbUMPvn1+Ylyty4eXfDfWa/IacDMuFO7hGowEWMuPxeGdnJ881zjgADVQ4CzpgC4yVKcGUef2E2V/gxRf6uikcY5ymqdkarlrOPxh9kqEzIwV/9KMf/eIXv1ihymPXDwqEZuYWR2GSRlPHc5t2A1M2nU4Js7kTCFn6flMbE3itsBARZtRxBVKymPCG3Z45mO6eL05uN29+RZTz0kO5JxbtzlpYZOH4tu7Ck+pScXajdexAdnZ90Zl5Ltw61O3v3PGA+r2f7T7wPjk9k03XbULcIYriSdPxEPcGO7seR4PdXUKIyAqCmT6XXDFRMpP0zYnL/jJVZ7UFINKhEMXx48dnZ2eNhzAMhZlOoDMzPkYoAW8F2C3MGjBvfXO9V/l21ZzmUq8sy6yKQwZA+BDKgzE2NzcHtvbj8Rh4og4nybk5cFylpht6BJvBtYo1YwLDUhfsbqi2F/WS2QlASIKdG6ny4srKO9/5rnNnL0rFqd1wvY6QxJIxIcxy3OHm2bwoXNfPR6PxlGaSVZOIYZthyiaKUmRZvBtNIpsSv93ZnUzcZuA67jSO5qxGXubMbnCX7Yx2qJPavos5JYVMkaIWVqI82J1fP7cmWnz26IFpljl33pQ+dwmf2/UVe84ZL77pgeQzj9vnN7t33bJzarVVKGehm50clErwcc5f/bLR7/wX902vnT07jufVlHF3NS4Q6RxZ9if5ypNPBt02s3hT8dzzcocnu1kraGVRgjRWPtEWrzbPS43gp5B2QtYISHmBMGW2y7iTxrFG7iglwshrBHmeZ0lULaJKRGSWVALMj9I0vfnmo+9733srNZKeKRCDzCEVlkAQBGVZJpVbExx5jcblW63K680+LDfQHxgyA+W3ZVnNZnM4HJ46darX6/X7fQAX2CMo1JUN16vpm3+76vKELIYDGGVq/ZoDXrzO699cz/P99sEPfnAymXzqU5+aTCZ33303wBTPzMy02+2ZmZnPfOYzwLc555CARsJ2a+rQ+yWiUupptxhttlof+MD7XS/44Ed+Z7h1PmjOdxrdyXhNZFGjOycQCcN0bm5+e7Qr48TlKrBJs9tRrrM+WmOk5YsuV05uaec2KkKiZKmQQH5peTbvcG/et2UohsnOWrq+QcUWwkogyaSkmjy1cIQYEzq0riJKVbJTdammBSIi9VFFMyHTeM2LiNYz1eUPYFPmCbAjw530LOCSaLFG0Qp7UmjNVeW6JfGwxG7/cHD8Pqu3nOwMZHVAFiXqEpWk4waa684c9F3OLRRvapSjUgjKgNNqc42qLl0VkCW0E24/9c115S5t9gXTizqzMg/rJdQfAkODqYTn9aVkuomQRviEkJe7u7tJkkRRxDkHEcpYj5iS4cW/I0I1tbygxD8YOcnwPrhS+dznPvehD31Icz0e2G6Ql6TRnV3fHBDbs7Uxd4sohnUQX42pmqeh1D4LaVmWYbri+c2e3UFFVkpHWp2E8q2i7DodNb+WXvxa+8hNExkkk7bb58XTX6OnF7dfpo7evnjuueFNh2/ayB8/vTZw6cHngrJ8/ImWN0/mertPPxJvpTOEbaE4Hq8mjtugZKbfH2ytgsJ/Gk6q4y8uFWiVtJQPe3xttvQ60PtHtU40fJK+NNT2KK973WtNIO79dFxneYZMjccj3B8DQZsjTv2VWgOungRuC0h3Gpm21JBOlFLwgzDvQAthmmzbNvjFKysrGOOZmRm4wDbXgubFG05cVVQy42P6WF+ue+oyefY8/zZ+hU0aCoS2AdPc3dl45zvf+dhjX7d5gJlfIjuM81JiyyWiyFFctDs9RPA4nHLuuK5rCR3yUt9mYpYWeSxiiB5YFhPuOrnnkIbLmxYhqswTn9JNMdLQiIRRxrv9+TyJo+2h5ftziwtDpsKi6HbbOBHzC0sXhmuji5vNfjveGTvtLl7kF1c3fXt2EK35N82Ooqy9ve7b3Wx7y05p3lmcuXhx5m0/dO7f/3V611E/E4qqZGUwWF0PfD+Rabk1iNvB0uGjPMnHiRhOp/byXLI90hqvJLNst+H502lUCmk5PiYsFzHlDkI4r1BtFEbcdhWhmfYBRIRasuL4SpQaaJhILLVJbF7mpGK+WZYEnvsvfu7njx8/bgjV3H3AgdXIJaD/Bxt/WFlGyXfDlAD2FvWtAtYvPJdSdqrP6urq6dOnFxcXjaksmBAYYe6GSa6+5A1LAeUB7Nl1xZKRTm64umu9+N73vhdjnGWZ53nQKagLrh3B+QbmpQ7eUy8N1qlSglBLEZQXJbew3/B+7ud/ttVp/+oHfiWOd3yL+ZxjQkfrieX1vOZMqcqW3ySE41KMd1fyYtvttQPfEXEmFElLu6ANSwgXT2gZ59ogu+DI49zPFcq4KggPZgLLW8yKsSriZDJIwgFRKZI5xdLSwF06lI6W51SJtfCkUe3MmFdmRZc9yiTWOF6l0pL9ZcxJrJ13NFoSUvrAq++LNTVXfPjyXOnCtM6rur3TMg0mxMKUCUHJ0qH28Vexg7dHg9ANo8jDuOdNS9kQGW96Z0+ctiVuHOJB15FrpN/vGxoGlESFSt2i6ovRIcFNGTjTmPwwCzD+eygZWmmY2Dc6fmXm9uSvl2nSsDDh3N5sNiFOYlEU4/F4MBhYlgU31FA4LEnz7pV6XuL//2DkJFhjqTbqRKdOnfqZn/mZ0WikLT0Jp8yxqTuexJh7fqPt+n4URYTItDLw1KaUBAWen8dj26J4y4nwZEh3qIs93/eCTosGLcrX7HYHHWLMHZ5+1p3rxsFCvuksL961cepLG6dvWjp2WDW/fOGz//Xwg9+z8vSzy7MizoPs7Er85p+2nv1D8kwx85qbRyXrrp2e7x3bXd9IoshSReD7WZxH451GM8g1XLI+LQGM8r5pr8Sj6mr5CpxGqbHxNaAwuu+++4D1GJUSkBTIPeaMsudwBiRudDnALoHi4ZJuXxsuP4AFA6XBpgKOx2CUqsO0XsF7hQaY0xIcW6FtwBRgk0jTFAI+UErn5uZu7AB91dYaUcn8un+BmWEx/TLjZt76DiSMbVYYhmtra//sf/6fnnzymQqClEpBENNqT8bdWHWChsu0S1eWZ4XtzTPOMacUD/Wpjmm0OVsUWp9eCh1SRiba/zedJuNdYrGhLHmzGXRaPJGWTbjdCKcRxtgJWnkpcilXnzlNl/ter4dKGsZJt9Pvqmy6vZ0j3OBu6Xkjnxe9RjuVLcwiVqRU4XDssX5EtjreXdH07CR019dOt6g8/vL71z7yR9sPHbwLLe2+vF/MUj7IGqe3wjCPp5NJ15myoqMslJUql/0DB6bjiRDStt3JeOwFOh7ONJxoVBGLJWEk0oRzBxFGLBYmqfbzVMq1KyuuNNOhLSxLFILR6gChpG3ZURR5nvMTP/ETb3/724ES4IIVZKD6Pg1kD5QAtwwABgPUYuj5BsgAajEsHkqA6sxfhNDS0lJRFNvb2+Dq1e12r3NGf0HNuCrBQwkgLcFopGkK67ee/9u4EMBIS0MyVmGJoQHAGcBEzOzN9REzPYWp0W1TpUJSlJJZrJQZJbTRcN/97p8+fvTY//Lud19cW6OW127PdpxGJpLJ2gXeaLRaM6mQiCnSUDkeT9eGzUaPErfw4thOOWFuhjyi0iLOlLQ4sUVOhJswpiinuSAIC4ugYNnGJQu2xXSLiWkRj9JwqFmwvm7Tx8zLEoPGxy4UIkpSfaOln2rYIqUhUTXoqb4y1B/9Q2XDDQonVV0maAlK/1aJ/lCgTlayUvVMa6gwo5iyuQPHo0MHY3/Wwn4bSTkcWzPtXTIt2WyQxxRTNRFBv79x6WImM4TV/Pw8oVSV+tISLt1gbAFvD2B9zGEbtgxogElXzb7cMqBn+Ame15+YWbt+AvYObfWlbQZ0TCFDewDN2O/ruAJlWRZFsbu7C1sG11HqXc51/Dw4bFy/lu/Mr9eUk2AJmfUPqMFA4iZtlkF9zZux2NMB6LNZmWbLN9ngpwpWUcvY1VcIT6NBIKIknYymJ06c+LM//cSnP/PIhUurQlHMHIyCOCOW4wSNDuFumctxNNLNxq7f6BBGC1lSblVQSf1M49FEDu5quDqUDybr6XjsuY1+b3HZITu5b9N51x+j4W7A2imWWRLeffuhr5xa2V6845ZDt58d/M10pK01n9u0rHAtCNI0tMOVk4fe+FMsWd8ZruB2JyfKW5ohZWt37SIrCBEsaDXiyVBqO259SYgqy6PL92/fMFWqDL2xxEjHecaYCB1RiAkhWq3Wy1/+cthlDUOHQTZDbUbVDOaehFG8g2gPxwuDYb3/JAFGl8Dozc2aKXPPmgGqML+atpnmOY4D6iUp5erqKrgrNpvN+rqF1w29ma+mEFP+ntbuz2By7kkYRvD8X9lTQv0rWGUZmH9Y1TBBsC4gs6mrmk1JKXn88Sff8Y53rJy9iAjTkTxYYDkNRG2FLaKo7WFMi0yDAUjHc6hFSiWyIkVEYUIl4okgQlLt+UiYwKTtOaJQqcppIIsidiwsxrvjwXZ7eTFPEn1SVYxJmkZJ0+laNkusNNsZiuE5+/Bc6GdDOXE8v7vY3Lk4RN2QtWzFes0uy9a/zthy6d3uhhe20c7c4aA8deDMsycPv+qQfDojFmF33nbps492bzme3LF06bOnUOYNd8etcBg3WpTYvmtd2FpfcDvrm2sd7kR5bNFmHmc2szKZ47IkVKUiIdO49DhXLBOIYJ4r5Dg8Dae0EGUVfgRYuTZEqJgmtzlBJM9zRlmS6Ggkr371q9//gV92fc+wIJgCM+yG19fnTiOA2zZcAIGKFBYIvFVnayZ9/SVWr85sPEZ1BMsNIdRut7vd7nA4vHDhggkSVy/5qvRfz7CnF/u/7mmJ6T6EJAfzKTDs2P/ui38CrMC0Ab4avbh5boboKjViSzu1gUM70XOk9U8E/eBb33zkyJ/8m1//t3/6p385HqzbXuoGst1wwmQ1FFPu9BjpdNzDuUoYmST5OEvHTtoKfEatS7bHp0ms4ViV5SCOHD+znTzP7TT1Cq0bH3LWQrlSHrKPUP9QVAxIvjOHSmsSrk3WpFBJkiINPCE4ji0UUZSmVDFskZIyRJCkQlthM23vzSstHkZFUVLtsCkoY0gjDxQISYYJklgroLAWqVQVnoRrHamylJ9kbtpaQouLy+2ZdX9mJtsuW86EyWaiJu22k8RO40AWI0mwOwn9m44VZRrvnrfKMnXY/MJBIRB44emr5wpcEHYN0KfWubShqPqM1OfCPK8TpHlYz7knDfOFEIJ7DB2/rxKd92QzGxmAL8IWA+sly7LpdFw8t2MAACAASURBVArXDpTSTqdjWl5vzH4hr17Fnpzmp2s9Nxmu1cdryknwpjmvG8MUGHq4xwHeBHWbG3pTJfQEhERjzmYaCqcc8yusnIpz6ejghGhxAVRzzz777Be/+MVH/vqvnn365MrKKtbCqVXdPzie083KImh6zAmiNE+inFpuEGiDmGkeEZ5jqmHrKGOYcIotRAmzj4R5KETOCW3P36xEFBZbZ4Ybh8uVg8u3XZC96cy9s3Jk7TzLXWcdNbxee76XjZ95evvuo/b8Qnrua93j9w5On5k/ND/B0v5vv9952f+61smj0193B3jsy2w0xRi7ntVwgp3x0LU1yqUgFJdwgVAfnuulK6doHUf6tttu0xhiDOAxdGjE/XNpnsDwGjZkps/MZl3lI4RI05QQYk6BQmibD9A2Ab7w9Zr4Qn6DFlJKDx8+nKYpRI4DsBlAuAYCMx0xDd5/pDDizgup/9uZVyl15syZj3/844yxN7zhDffffz+Yb8PiB48/qK9aFCXV4G/6U5bFRz/6++9973ujKHJ4ixCGia1BIpU+CCpthEmK6VjHR4CIbFKlUaSDcti2toiQ2kiCYK3Qw5hionHB/n/m3gTYzussEDzrv9/trXp62rzI+yLZxI7jOE7oBtIhNAlbD00m0wyQaXpCk5mC6knNQLFUummgwNQU9LSnGkJDWEIBAUPIZvAi2XEcWY4dW7ItS5beovfefXf/9/8sU+d+9uHnyZJlQ2Cuqp7O/e/Z/nO+75xv/+IJosRx3IgQ5PmhUrnjRFJV494QMdfxGSHccTgLfMJYgXRjpo1QWaSD86fX28tL8SipqIPdQHb0UFZuP242G5UkVXPfSrd//Vyy1m6IvDh/7Ozirde2X1odbYTE69FzaebNR2qED93Y+OOTGSrple3dg6onGnR73Jv09i0stjqdfFTMzC00UuPpTxWqpGw3o95ml2CTj92kgOCEO6zIMoP4GHmBK6piGjBMTDUXxiLVyDKlNNlLplJMCGBo1AfcmZub/dVf/VWbSwcW+fL/ggYfCFxL09gwFtAPnNFwalu0sqcfFMDOCXAN3AWAEAFUnabC4FYKK4RYWlqSUna73cFg0G63IaUunJYW/u05WR8ULqG3Bv+2FRy5r3uMXP7S/WPWhIUVGt10y83333//nXf81n33/d/nzp1XRUKo4wYznqvzcjiOEzdoUddBiHu06QdUVDrujwnDuvIoNXeKRoJiP9OyFHlIGBWlREpKERGXc1UqnElHCUqNV1CAXJm7k6W5gyZURZIXeYxUIvJunmzqcoLI2IiPVMG1MWBCVFGHY60K6WqpjAoDVSYoBtEUIYkVpUwpoZBClJkQTIhgQrRx8XdKiUpBnLDjLMzNHbiStRYd5Xs5Usij09yNeTGimNJwRhZYTXqk8l9a/XrnmsOeJ9a3egsNj3li9+7dwFdDvC5rgQQAbOHqzW6cbWgLO64Y2yEAJ2gtlFIgELJQB9UuDXVgKwL5Hmwwl/X1dQjoCjlGYRogZAHDph3yFxjIzvYS5JR9EfsKlyhclE4C6IT3tHeVdfC23BvI1iCD0oXDWPds+xNsG6yX/dUun1JKCDEcDjc2No4fP3706NEnn3zy3Llzk8kkyzNKOGeO1lgKI6znNJKCzc3NDSZpMerRsNVoz3DHM0kbKMIOFVxhXEpNK5whXRo6HJGyqLjWDe4JRAuvUcgQex2vGGe9L09OPdvae2ibtruqtbu9NxusNyO6to2v2HMtGjzcP4f2XnPv6tEHoskwYNVaWnqjjrM/cq7k/E9/eyaaVbfd5Q1XF2eSNEnSyWQyHM5Es3ncQ7liNBDlxBhYXPYHgAAhdOedd4Ipvt0Fu8F1aICO608AcC0xvmNkMLJmjCVJ0uv1pJSQNXoanPPVuvXDekfzN/u1jjDe9KOUiuO42+1SSiHtg60D48LM4a91bYBxLcC82Wn8g9THGD/99NPf9m3ftmvXrgceeOCuu+4C+1zItwpaBgvh1TRDAsb0+PGv/af/+J8///nPF7kI/IZSDqEOIhxjxwj3jeGNkTVSbQSWSpXS5HR2GEalEEkyJI5vUhFQRowIihBz7mNMtOSR0pQS1xAQHpHmyHYLUfiOW1RVOhwb0Wqz7QcBoqQqq4mOqe96OiqTbLI6cGfa1OMJLf1OlAlvuLVJhfDml0W015fO9jNPubccZPlCkq+vjs7tXr554yvH299zD/vC11qHl145X3rPvLjXjSZ33zjpnpEVX5qbS8Uw7LNed8A5D7k7keXZ/sbsVcuj9a6cJkAYdHU01yyNfHhsTkCC8jJHJgOXwzAppETSaF44c19L/qoQwuBCPL3jp25FSlOGP/axj91yyy11IvXy99fCNlA5Fqds/j6wBweVATB19c4tWlmLPbvjoN6CydfPScBfuMwIIbt27SrLstfrxXEMscfsmQ4D1XH5Yk/qU7p0GXqDZbyw50u3/Sf8tXYNGRF7oxH+2I995N53vv2//MZ//dTv/J7r+XmqknG/2V5qh51Rso3LsNWeNYgytSrKkXH6H2/1CMfMcaKo7XJeMVyVha9EFY8lR5qRFg8qMNjmgmpMK0JQWBBaeq3JeKgR10FIG7OuI5jeJYvdWk7ySYVlVeUjJNOqimWVICy1qAj1NZJUV8Y6WwqsSKWVVEhxd6os15hxhSjCDDFuoqfS0J9d6kRL2PMTF+lWhKSbZMhRSLOGcJgn8krGDDuatSkhjWpSxWh2z0EZi86yu4L9SXct1PE0up5RvFi/NiubeFPb94ZH64XAA7e2PaJfV4AEc7iwrZ2bRUALqIB0y8vLNsTAeHpieJ5nY03byALQytJMtjfrq2EHsgVoYmva569buCidVK8Nh4JN2Am8F+ibCSEw6Xr9HbyRZb+sBZ/l4YBHBCP8brd75syZRx999MiRIydOnEiSZDwegyLTCDkoB1cIZch4zBgkg+b9fuWH7Ua7oakjkBHmS20irBDhFcjwpmY58DSbrImvqnyGSseJoxbjjl9GHIeCz+dsdyJudeQwWXvxwAE8wO112eksBGR8NhRsZdi+6fAefXx9c/NQ44Zbhs8/NXPN4WRr03Xz4cI9k698Efs37n7bFcVoveiNYpdh5lNXNRAebKw0OXMJn6Qjq5O+zO2xirZ3vOMdsErwF5rDatdhul6u78UOHRA0h79FYeLTcM5BTyyEyLIMHKfBydn2Y4Fpx+h1ZtdWhkK95o6fQN+BMYaM61mWQThX3/fDMIQY+dAELiHQD8ITmMklOt8x1j/4V7CNBQ8Oz/N6vR7crEmSHDt27K677lJKhWEIED6tjL70pYf+6NN//KUvPXju3KrrhL7Xnhq3OiZwIuGaGoJJIyZMxihGpUkmLUwCZCMPosyppBHyVWhoMjYRppQus1KpEk9t19wm93jAuDExrXJRKcEdz/U8B2vHR0pUeTrOJuMqz9xGSF1XSJmJstlsMR4hocb9xKOEt1yFXMzo7MJstXleVVVw4Lpwcc8wngSnzkTXvsuL8OClF7qHbprZG57/8tcWr75j8+TDzuIhd2ZbxGh19Xz4xMvlzOxQvCQi3Ai9aM/y+fPnq6kdaTi/YEL0lcprN+M4dqYGRowYLYXTDGSeAf/g+p6xGZJSy4pQzJnRuchpPnYI/wdgQ01eCOV7/of/pw999KMfNRH5qmqHEOhyNn0HCNmvYvoBkaoVolsjAbgSrOwcWllHaCD0LbJYWqoud6/L4znnS0tLSZIMh8M4jpvNZhiG9cmDHMvyD5dAt3qr1y3b88G+6d+nt9cd4hv08NUJK0QpFqLUSt16282/9Mv/6Z533XX///P/nnhpNU/G40HRRLmLvarKJ9upULjdbBpbN4Vavl8hB2E8SZN+su1GFQ6DwHGp0prk0zTLjsJCIYGFdJUwPqTGVUBKUUoslDNr3AeQcUjDVFYy0NTHOOOLVzAqeDXWcizzoShiiqWxXSpzXWVYpERkxhhJU425mjrMISyYx7kfYOJiYowRGefMd2XUobglJJFcEsz8SkxKE3YbB7OpUE4am7ztmCdS+a6oRttpxjoHrhuuDjfPxfN7rukeefK2b7oKLmVLo1ggfN1NqcPAjgo7fqr3s+MnwALQPwAZUAf4Hd2+4VfoHIitHd4VYKcxzbKnjd/rNM2oCaU2zeYJ+hDAkRpV/ZoJ2NRqHoB/x/zfcEr1Cpeik2BUi06WPrW+VJaTqy+Q1VDaN687H8KvQDAppSBBzBNPPPH4449/9atfPXHiRJZl4jXLL5gAeP9WlWG3CcKe62rDZFdaVEGIfC/UiGRpnFZGc0Edj3oOo5REJh4uNtYZhvk2xnbGMFTjPDPxAPqZdJM+38K+F7DujDM7auwdZWHI+ODc84t7rtasM5GKe361cZZx72UcRB7aXvta89b5zGshNheRrcyLg1GTpqT/jredXT81f/LEKGCsH2pUaVV1Gp7rerlBpFJ5CJdmPS5fogRQ2Gw2Dx06BCt54TZbsLB7BMtrgWZHE4jdAv78YRjazPZA14K1UJZlICOsB2Ta0U8dgC6nbM9o4NGN9fHUjw/Ifwg2MzMzM5lMBoNBr9cLgqDRaLiuSYpnQav+apcz6DeoDkyJc769vU0p3bNnj3ErU8r3/X6/f9999917773g+Lq6uvqVr3zl/v/6my+88OJkkmhFOQswcjjzsSYmpJ2UQpoS5QRTNCV7sKJpYdJqEuJwhVWWjzXGru9y0kLIaNqEicQtkDQBG5FWWdwVLNSYUW4sHyPP14hixAqJOSXEdQJCymwiRBGPB5pgr9VutVp5UXhhSArVQGy4NWjKCEes2fBkJh1/V7rVl+Sse9U+csO1W1/+2vLa2mSRh/6uweln5dW3N7/8heDWaPB8fv3bGmeePfcSLbztJLr2Oh4FXtKoin663e/Lcn9n4fQrZxYa7c2tXmOm7VIWhtHWmdMN1ymyXE+jMhrWPcuJEZOZpM5GJKYkxsbqE74KadAG6BWgUJWWjsOuv+Han/zJnzTGTHnOuclsammat7DvdfAG2S3Y8UCsF5hAkhhzeEA0G28GqOE6HQMVgKSDsu0cCjDPOrkPmJim6Wg0Go/H7Xbbyo+tHKuOQVbZ96bedEcPb6rt/x8qTxOWmYlwx9GI+C3yA//mf/7n/+L9v3n/b/3e7/3e8y+8kMfKCZoYu643gwkfDddd1+PGlRIRyQhzGl4LYx2XQxwPS8oyh4aNIKBcUZSqDNNFVIxpFVNSYN8lLFAVdQQdVxNKuZHjmmAWWCGGaUR5kKB5n2nCIipbmnSYW7mOzwmvnFJXqc7HTFdmx6knTG425srUxFn1GKJuVqrcqDeYYox33EJUJrmh5JpFRFHMUuSNUZUqb4kIgbNSaez6PJZKTLbS/jabm8/Kee5tpjGOOgFi5Kab7nBdI38FGLPEDRywsH1vAQBetwnAtv0LHPUOsY2dAAxtUeANAQlkAbYa9APTACxzXRfO26qqIDfRZDKBtKfGKZibKP72fe3o9QnYudUf2hEvVrgUnQR4DvpsWPE8z+FI8jwPeCzA5LovHwxvJ2HlzyAZAguvyWTy3HPPPfHEE0eOHDl58uTGxkY6TdgEmjiTcs1xCCFgPUMIMSyjExobDkWFUNx1okZAmK8xy4q+RozwqNNoSeSWknAceF4jLTOijGkSxS7SlJk0ECboBQ2QoCKXGZFYDcZ8LGQwLjqZdP0o6BRDoj368tqZ3QcKkVHF5ucPzCXrJ1J1sHH1Ae/pL6YnMT9w54snnzxwzS35qNdMHivnl66Pv37uxfO9hSvbc5ETF3k6TiejNM+azeb2WpcpFTpBbAzrjGnRNEr9xbbjb5+bRFdVtby8PDs7C1wshB6BTfnbeq96mb5KPtePbKC0IMCd9XrgnLfbbbs79QMdeoYzGnw4QYJoxTm2FYy+42t9SheWLXSCoRVw2EDnWWYdxEtgvbS9ve15xh/em6b02nHlvC4CXzjoN+IJzPaee+755Cc/yTl/73vfC09WVlYYY81m8w//8A8JIY8//viRI0fuu+++LDX5nihxmeO0mjNJUkgTMJoa9xhJpNRKl0RoQpgRkyLqhiZci1SGtDfEkzFimPrDGJZUm/gthLlmTQzdaCTSUgkhjWeca8T5jskjiBDh1GmUVSVk6XDsBs2QqDiZTLIYTd3fGs3mcJR0GjNY4Q6dm3S322Xhu53NQpDGcsPZNdw+iQbrstnqHPrn6sRTOOrIGd9fXxmd3Zy9/q6tx3535p4fPPvkH/nyGra/5frr6ZwXj1aKYtTm4fLy8tnTL026veXFXb21jfbi/HZ/20VKZAVCknlMV7KSmDhunpdYKsodN/CzrKTY2L06nqewqspyaqukKTHHv9ICaYmR4g5vNBo/+7M/e8UVV0DQjbcmT4JjrY5NloWDQlmWcRxDSMZms+n7fh25gLUARwcAMxDcQp0dNW1lKFjllwVjxlgURWEYTiaTbrfruu78/Dxgrr05AIMA6Szz8BYg3GLiW2j7j9DErsnOsaTRIxglBiKFkGWlK5O4kPzYv//oh/7H7//jP/6jT/733z59ZkUhno23MOPtzr68TLKEFsWE0VYQdlzKhBIR046mhDl9VY1HA5mLqD1DZ1qJqFyTv4QhrAShpUZCKhc7mIxM5HtzjxiXZKGURIoQl6mRScssYiVTVRVSE4W5ZFHpIIV8IRyTZsjw7WGFXImoTNYp444TIuoUSppOGNGMyKKgheSIVY5DmVuWuVB5grOG4yLGImPRpCtZMk9zrSdbXY7ZzPJCUvqIC41Y3lsPPW//FdfU6QMLlgDJO1fysr/XT3i4TeAvYA2AsQVF+KlOCVz2OKYi4KMd0UKpRSWINW/tuzk32R0BOyqTlcx84jgGHsZ1XSAhYA51ehGGsP1f5iQvRSfZ3q2D65EjR1544YUoij784Q8DAQTLtGNU+7bQAzQfDoe9Xu/IkSNHjx796le/urm5ORgMQHQExBZgCEjeqsp40cMqgCVNVRYEc9fxXSfAlFWSVpIT4riB63ghpo5J2oNwwzeuxVWeKFpMZapYoqKqEGWCMU8zkjHBNPZIg3HfXdwlRSHy3nh7GC1NZJotz+1f70vl6M3eeKa5kOXVSLpRozlKBoM82HfNjWdPJrNXN4sWxRKrogjDRDhvW3vqC2yhtbi/42zo7WLd9XhIfI6czVdecngQcj/udc1+E2IQ5PI+sIZvf/vbPc8Dt3yQrII8w67w63b2Kuc9/Q+WEWQzUBnuV9uDPYjrwArZeeAJZB0GPLTXwOuOe7GHdiyrsYVsfVa7YWlx48H+mvVSkiRxHPd6vSiKGg3jRg7XjMWciw33DX0O7zI7O/uxj33MLl1ZlkEQLC8v33777bt27Yrj+Kmnntq7d+9P/dRPfe6vvvT0008LoaUQvX7XcyPGaRQGeYEpYcL4dRr/RsP0mjjbOItXGHWkoibFmRtw11EIiUJq1kHEhARDU/ttbaK4mHh31FnihAQhVirP08F42OMeD8NGWQxcPzAxijHNKxFQ1zXBZ1ppFqe9Ic1Fp9NJiow4nGsnbKJ4cD6t4ubyvkGORGvW0UtJb71DlPTjfofPjgQJSTK3NKNGk3JOS7Idj4MeD7792uFDX81mBXn6hCuGrYXO+qkzY4qiPbOjbr+U2nVJkcQ8rbwoSMcj6nuZEijNOePIcXCScWOhzaVCoiopInwqWDKQWwkjyDF5f4maatKNi5/Jc+p86EMfes973qOUMMTlNNvdW9jx+vlu8cXeK4yxIAjCMAQWRWtt/ertpgMkgEWI1RRYksj2D3OrAy2MAiy49acDe8T29JMkycbGhuM4MzMzNo2uRaK38LJ1cvCtNf8nbAWXCzb22FoIOY5HRV5B/LY9u4xjebMd/u8/8b999/d88IEHHvjU7336ma89h2SZjdYJo5EfKYWKQo2LmDmOJrLVaguJy0oGru/zqGRVkVT5YCOY3TTmfixCKMQiQhiXItZuQdAsnebJNZwNIkIohR2BPMZTaqimEUElMzZNIfK80nGpGGFtFBmYMuOjz1w5TVrtcmOQpDCppK4qI0pmJv2JJkzxXJRGk6d8oggxPnO85LqxoFjgTzYyWVCmJMnViKoJabdnsDs/2jjjEBFPBs3qFaLzw7feCIAH22RhD2Dm7wM5FiPAf8Ke/1Z2ZekbO6gF7zcFM7Y5tKrPGcxywEQEggvswHqwcIWGRVGAf9I0NhBxHGcao9/kY6gLver9X848L0UnCSGs1TpCKI7jhx566Od//ud//dd/fWVlZe/evfBuQMdYA3X7wuANOx6PT5w48ZWvfOWzn/3s2bNnz507xxgzhgivJUSEaxuQYfrXkO2M8akIxPjGT9VVOIhMWHolaZ6XjDM3aFLeUcoxzgjGG4ZorAo5Ho17iCDjCZlPM8Y6XGBZVhVzGIkCQkjozSjlSErTcuz6nLqKeJ0sj+IzKySiaUtH7VY52eMg0j3/ytJe1B3Hw8ZVvtrOTr/Y338jbiW9Z/569sqbzpx89OBVd230eZUca87vblx9Y37sb16KexFDaWXQOIqC+eXl9XOvlErJqEEmMaRL/Du7cnFVXFVVnue94x3vCMMQnPkhjBtox+xhXT8BYcEt6WmSP0wDYdsRXz1xpsC+g2+Dr/XYJ9AKYAtoecsrwBZfGtR29A+9gbwQymBTAmi2o0No25h+tNbD4XBtbQ2yLUJiHEvB21f7RyvAVK0MA2biOE6n05mdna0qI2xvNBr33nvv4cOHn3jiCRMm9N53/uVf/NXJky9lWVpVle+FG5tjhy96HiWMG2ETISZrlfEt1m2vZTwVFEPYkZJmg0oh7bpugieuFzg0QIQooYTUlDLOeUVmirJgJqKEDBrtIu8jXWXJoMwrTOawF0pMiql5haF3hW4EDUKcchxnEheu6zTbSumg3c4ark7Xq431xYBPCs3DTp6MVFWR+NmZ3cvZiY35hWtRd2VLFB18KrjhX+vnP43f8y+7D/5xPNO4rv22teD8bPMQH4+vvbqRDnrpOJuVXGAnHm23ZxvCF5qzYmsS7mqXeSbTPGwHw6pShcEURukkz5E22ak8zylFKbVhJ7h5P6a0qCpDrky3WN19990//dP/Vxj6ZVmmqcn4W2fYLh8MgBOzQiAbWwig2l4P4GsDdnJwUgHGQbU6PNeRawdq7MAFuGygPoCTxT647UATNx6Pz5w5Mzc3B4ar9YuwjvWX+cp2SjDuZbb6J69mZ5tmeZqmQko/cGdnQsdhJsCKLAR1pmnY0P4DBz760R/78A98+E/++DP3/7fffO7ZU1maV1msUcDcGc4Cl6qsitfPToKZBc/rBDg0ua18jyI5gzQZ52O1MaIvYobajQM+v0KU7Uo2nTAzaU1MCkLj2I8w0QTJqapYSKmkcRlCzFM8SJlbKtbKe8YpY2rQjRAjimOlsdSUKUKNQNTEh9LCwcKjiDOZqcLRDPkN4XJMBJYxk9IrvGxmnrJAjcaFUzR9Uqgs6dOAzM7M8PMxQ+U69pz5XY3BsVMNXu0/sNuCBKwYwGr9mqhv5Q6AvNhPNogM+G/B+b+jTwvA0IklpGAaFurqQ1xmGbiXanqZ1oVDMESdq4c5QCgmyLwLM7fGTEKIdrsNzD/M38LVZU7mUnQS3LIwJGNsPB4vLS2B+e0rr7yyb98+INzG4/Hs7Cyw+4SY6CZpmm5sbDzzzDNf+MIXnnvuua9//evGELWq4H2KopjevlQI44IOCqbpNpv85wgJYy8nDPQZNtuozDyMmCiRNpEYHC/yEKZlmRFRSKkx75i2lBDOIp8FJNKImwDyLV9KwbmJ3yAlqkqMlUO0O+6PlJxEAW+GYZWWgnnIJa7LG7uu3hysba6danYCr3H9OFlg4fLWuSfmd++dTBj1r8f9h84Xg93X3jx58k8oK10n6o9NUufdVMoDt5079mmt9i9csY8RJPO4TIaDfo9jNRPOpoMtp1KC+hqXkOWNEWr0LZqaLIoG/eBj/HowMVpwa8529913w00MYQKiKAI7U7CeA90w6MhgeSEQRZ1whq4tWFjAtQWoYL/awquTejVsGoZ4M9bt2Yq1bH24WiwQ2+e2nx0DwVcL4vVq9bZaawhWGcfxeDwejUYQAt+6WIIkdge6wqViJwOHyI5udzAl9Qlcugwa5DzPAXvrl1zdoLjZbH7Lt3zLzTff+sgjj4Rh2NsePPLII0888URlklWKJB8LFBh//bCd5cTzOl7QLnIhCSmrURChJB77bofqkGCXMQeps8W4H4+JEzS4FzHjwOMxTqjYkoxWWlcaldKh3hJ3GCOqEC+N+que44ahAfZkkrvBLGFNXFHMYhrkVdFLtrJg71UkimJReqrDG954PEhz0WxJVU7mvNlBN11ajtY2Y+GK86d7M/va6PxQUZm/dNIL2uXaKeEe3H3z7f2jTzhqveedds9Xo/nWrNd0SJT217iH/GawPRk5Jjmn1h5n5SiPpYz2Vb6Q518KVVS1FmVV4DzXqqChV1FzAPCKVVNrQgPt0mANeI3s3XvgE5/4eXCkB8oGfAzh0LwQlqxKF0zuAK1gc8FR/xL+CnVoIYQEQQDUkuVD4MC1/LStb28IW7A/1eGq/vDCMmMMMkyvr6+Px2PXdTudDsS2rjsdQ4f22rsY/2BnYm9TGNE2rE/s71mGNd8xE4uJ9RGtLM2SgNYiFuYAX+PpB8IPgmzg1RligkxsIvMBYwbDSs10fuDffOh7vv97jz565FO//wdf/MKD48mwLOI8J2XpMcebaXWy5NxotJY5TddrcxVh6hCPFcr38FVMHsBEDbb7Cp8wAgzP9egcN5S8MQ0sJdbUo4yZZLNlYt6FuFJ7JjUWD6lWRKayMLbYDnFdFohKo1w5ZeVTqhxOsFsWGilCTRAME9UPYeFUbonCQkWuqFq6iktcYMf3WMFKjVPJ8o5MnM1ijXmeuyxEY6N5VX/UZf7GogAAIABJREFUd/qvoKuuy/rpfDv0lb+8sA/WpH7O1wmCOoBZGLBN6r9aWwh7B4Gx4IXIBc3hb70H+8RO5nUHsg+hYGcFFJ7lTMAOxNapFy6ckqXhwKaQUgru20KIoii2t7fh1gjDEMw5AAIt/2O5XzAusrBqvtYHrpctEMONWFWV67qQtCuOY2CdDTtbVQ8//PDq6urm5uauXbvG4/FnPvOZI0eOfP3rX9/Y2IDwuLCIYPQNMa+mq2AYRKAZQbZEKTOxuShFmiGTEd1sGaWcUY8SRyhJCRcKK0kIdRyH+V5ICMmkJNjHJCI40nLqYo0VQqoUmPMQUZwLJTTRjCHMFCKdTqfKkaxEdzwsxCiIXI91tGCFt7jY2R8nzf75/szCYIGjUVbl7TvW1zf3L584U13hXHn7/NknYhQ1D7zv1PNfv+7Q+7ae+F3vprs3X0Tlqa/P0Znt5aVW1RsVbp6owGk0lrx+dyVNRo4ns3JsUidOM0Kbtzb+P+Z/k+jqIh/G2A033LC0tAQCedgFuNrhzkiSZDAYgHdVFEWWbgDotHsM3dfh+K3JRQGOYWgALLB1hb0DXIJR3nL/r7sSVsQFYQuklKPRCLQSvu9HUWT1cRbTLnxlYcTlxoq/fmFciGavO4ELH1JKP/vZzz733HPLy8vf//3fb70ZLqyJENq1a+F7v/e7syz7/d///dm573j/d7z3r/7qr44fP54kWZFPUhVPJiPutDFyJuOiEc0IiQJvVz7OfM+XehR0ZGFsPInPZjxWGXdOmWWTjNKGwhUlvhdVUmDsNhkPCXONtKaoMEWL7StG4wEiejgqgrAk3EvSYdRoCa2MeosuZiWbX5of9LfaqHIoTU0eTw9VKsvONYJOGM1u9zR1dp1eOTvvNRqLBwdnv1Qk7164Yk/2tePy7TerUwmmc8uLyeaTf6HLvHHrocVV3bumWtTFeLsnxoMgCLZX1mdmG1U/b83MJKMJD32qC1WM+ZxbiMzRWHGD7cA8mMsIa7NTUhKEPNdTyqjeAMAAzn/hF37h5ptvBkNOeA6MGcRrsTAP6l0Q9kwmE/AjgbR6oC/YAQmvu3EXPgRQtHd5XRRav+ktrtnChV1d/pPdu3dbi70gCKIosvcfAB5EyoEOAaTrQH75A/09a1oBBqUUWAi7JlCA3YE1gQvJImB9wvYV8jyHUK5BEOzatcuKNKC3HWtb/woHwrf9i29917vvWVlZ+/wX/vrTn/6jrz37XFlOijJO05RSx+ERxWmelyLtmXQOro85c9wZrtpS8aYTOGGWq82i6sbbYxPXDHFNXeK0aOA61NPYc8VGrnCFHcVcxj3jO6ErrEoqE81D5AQ5DYzrkagI05QIihjDhl82WdhMECVKTGpdnApUcsKIcGRekFzpnGuuHdTCkeytqCqrqnxDq6C1W+EWLbkuEXr5abL31nzljKtXN3qT7/q228PwVXOO+joAkNtF3rG/O+h7qAyI89p1bOTclsDd0fwyv8IoUBnmBnttn9QnDPoQIDwYYxDh/TIHqlcDFSFcSQB1UF5eXgYpQ57ncRyXZRlFURAEwDIBTAJBAiAEcwMjcfozP/Mz9TFs2b4AcAZAmp0+ffozn/kMQuiDH/wgpD59+eWXv/rVr7bb7UOHDp04cQLMj5599tlut6v1qxGl4XKF8AFwuU43z0SS+7uSD0xMnBSOMSPYYcwxGUdMwD3uOB6lvsN9ynyHBwQ5UhEpUJ6VJm9bmVdikhXbWbFZlD0hR0omVdrziHCIQkpgE5tREYoD3+0PiyQfc1935uY4bxcpVlXlcuEIF/vmviFVM+1uataL5tpSz5V5Ppqsdzo6Y3tYkZPNFXzNu+IzJx2OYzxu6wMTstGihdt+e8TXT586l2TnCSuH2xtFlrUaLRO+I05ck57QhMszCZzRNMPiVHY0TVf4atKfKXQygg3lqk1Anep973vfd33XdwE1CeAOpkKw2bAjYRiCqEkIk3jZQrbdY9hQu5tATNS/2h2/dMFeQoA50ION72BPOvsrgHt9IDhJL4a3Fxvd9gwVIEVXs9mklGZZNhqNTHTm6QfGqssM7OgwTymltQqH3myFi41+4XNw0nzwwQc/9rGPPfDAAwcPHoRs8BfWfO2JwhgpJW+7/daDB686ffrU9ddf+5733Lu1ubG5uaa0MPnttd69tKfZbMtK9wc9zk26M9cNsArKnGHMJMqYCKewQ0M/dBmnRKsqQzKVItbYSF1LE6DbcUzIJZKbpRFRY1YoSpyAMDaZjD2XuBxrt4gnhVABoT4iWousmAwjznU0bHgdn7R81xsO+mXFg6iDXZNSTskBjzpspt17ZWX3woFt4ejzT8loH9r4elFQT/lLdx1O1qt4MpBN3hQsS2O/QoLpGe6kWsz4gSI67Y95K5CTCVOUNJt5MmFFSaNQKySKAiPpuNyYtpfGERBjE1VSSgPpjsNNBiwpP/CBD/zET/wE8JfWeBHoHs75cDgcj8dJkoDI0zoueJ5ngjxOHWHqp43FlNe26dX/Lw0SO1pZeusy0coi0Y5BL/EVzDLCMOScx3E8Go0g3TqQa2DhZ1l/MMKwvdl3gQL81VoXRWHZdFvHtnprBVDKgHDXJtSDZUmSZHV19cYbb4QghDBnOB+A6LH7AnFux9MPQqjRaLTbbcBZW2fHgWDJL/sirylDJWUm69mdd9z+3d/zXe/91m/xXPrySyeqIi6KSZ6NpMxdBwUeJqQU1biIq2TSL4qe52euKyiiSDQ9vCdqtDgLsaaqrESRVek4n2wX440WGmlVIcK53+Aup7pEWR+l21inijDtNErqlpoabyBcUVpoYtCwrIpKFMzB3GUEm5QdmYlg40VUu2okcKJLEVBHN12cCrm2unV+VeLQueoWzmYHSTLTdCcbK7q/Gl15M9p8kSRnsiT7/u/+Z3ff8y5CXg1ma7evvumwzvWf6gQQEAewO7CPsEd2zW3DN1WwdwEULIVkn8PVBuQRBKmB+N3WQPut4Yt1PLJCTQskoL8CRXa73YZ8KU8++eSxY8e63e7s7CzYP1lMsQLpi9JJdgy42OCSO3z48D333PPOd74TEACu6nvvvffQoUPXXHPNbbfdduutty4tLS0vL0NInvF47DjGdxcIVfDYgvjLUytUw+ID9Tp9E+J5PjKUOWeMM2pc3owMZhq5wuTBNMIkNI1FYRpN3cs5Z83Aj8LIDwLX9RwTiZJyynjETbCNyWiUZYnWlSgmRd7TYhy1Q9dxtfJzk0KKB0EHq2DYVa7ckl5csaIVzEvkjqpJKYYzjko51fyQt/EUJ2w4e9iNV/rpmQNLB8+feXLh1u+MT37J33WTk+WbfIJOnfD337Zrbp+DgsjrONTr90ZSFK2GL6sMESlMMgYTqkArky2IEOOzVDNaAuLdSJi0Rr7v/OiP/uihQ4dAFgJJcKwnIAT5BQd7AAuAddDB1XmFOj68KSjfUbkO5bD7IOKCvxbTLERa3LB3CWDgjm7f8OuOfiyOOSZqXOR5HgQmHY/HsDhWYABwa8k1WBkrdbNSAXu8vuFMoAJIdM+cOXPTTTcdP3680+lASpaL038m+JvRmCjUiKLDhw8vLi6ur6/fduib3nbHN21tnd/qbnJGN7sbsVGv0INX3URpWVaDPEsxalSFg4mDsHY5opQ7LJCSaUWVrDhXriuMsVFZVVnmEBPAXuSJVCZkKGOBJAy7rsTUxKskJB0P8zhGSoZeWAnZaLfSNG00m81GI4lTKUTghGmWaSKJwyFuEaO00Qh68XYy6pHd72hWm5unXm6/81+iY3/lvft701Mb4e6ZBnbXVtfL9dMOLURVbJw5E3qcG8c0NtzeiprNUa/nOk6VV4yRuNdvdjqFKKVh66kbBEWWS1lRjk145Koy+W6NZTfmjBalCblZVgWl5M477/y1X/u1paUle7NKKYuiMDdNluV5HgQBXJBgoOA4DoS9qMM/wHD9yY5NvwQw2CPbQiAUgD+5kE7agS8WeHaM+IZfgcQHgRlQS2VZTiYTI1Gf5jUyqZGnYRTsmW5fcMfr2NP/G0EnAZoDjpdlSSkFC3SEUL/fP3PmzM0332zPCjjz7TwhXAgo1rMs832/3W5DHLX6K1y4pHZTYBnt/r622q9K6zmje/bs/mff/O4f+qEfXFqaDTw+6HfzbKRkXuQjWSQMF2EoowAzLNPJJB5OhPFBcxli3VRqzTzHj4IgcnjEVUhFRMt4NMjiPE3zIo1VGqN0wIqxJzPsRZh6xjtbKK4FlonPhENFjpnCVVmmCmWeZ+JgmDh/SEmNqTGzTbiacBPY20nyqhdPsu2zXGh/Zp+3eH3C2uUwmWlQLXqjc8/N33R7/8WnvUCTJPdx/1d//udau/fS14Ok+urV4dYuF1zrdt0gFpGVv75el2/9mZ2AHd1acSilAFt38CH1+V/mwHCw27HqV6G9pMCicXV19aGHHjp58mS73X73u99dVdVjjz0Wx/G+ffvAHheU8q962F1MnlS3Dy+KAnASotNCFm4Q/9qVhUQtvu8fPHjwXe961759++bm5vbv329SiExMKg/L00PPjBk2EV7+NeqVEmNnZDx0CHYpNZIVoCgwNqZLxh/BRBcm03/TbCRYE5IjgrH2lPCRDKgOGA08x6/YAnVmqDPj+m0vbJGpX6fjsElvIEvFiEuZZ/xlkDmu/aClvMlkc83VJWkExO+4qBl3NyUd+bPLWUpmsa/FMBPz+a4ZtvJY2Lmi1EWymTqtClULRdWlOqbB3tlWsLZ6ZjjYzNMhIVWr5WFcDftrWhWMMiGFoZMMmWTEpNMdNcf+axAwTfkz9fPXSM/NdT7+8Y93Oh1gFoEYAoMYOG5A6m7pEqCZ7FFYp05e6//V/y1W7Hh+6a8W8qA5zH8HwQSjg4sQ0A221VuA+Pp8bD/AgoBkFZgD3/ebzSbnPE3T7e3tNE0dxwE7IesrBNruqqqAUofJQJ/1US6nDND7xS9+8fbbb3/22Wdvvvnmdrtt9eIX9qCUkZFO04AbGCaYdTqd6667fm52aXNz68Ybr7vm4FVb2+cT49Eqi2IyjJ+npDkb3dbwDwgRK9orq2HgRUYdZQzYSJxklJloS45DhKgqGTWDyEUS5XHS2zDGoNTExBNk6mfDqXGXExUn3Gde5EbVMBv1t6MmU7rEjCPq5RUWmMphkWbjYKahaYvwmaosksl5j+bI6XDZdmVW5klzbtcgOSMK1rzuUP+z9++55zvF6ePnZb+DZvmudvvKb8JDujhPHCS7g65Oksau2d7KetBuJoOJG/ooyQohw06z6G1LIZx2BxVpmWYmVpTDNDLpJIypITM+cKKsPNctq5xNpQK/8iu/cuedd4KZUVmWCCHwBQGxOYiLXNf1PI8QAgJX4PQuvEp3gOKOChfuYP2JbWsBEi4VuG/soWzJJntq1zt5U2V4C6t9BjMdSun29naSJEAUQofw4pZet1O1w8GTb5w8CVRjNv6L5bTjOF5ZWbnpppssjQtnF0y1LMvhcAjq0Var1Wg0YBMt4QX2ufYGte914TlWx2ghTHiMaWUg3kwUrsD377zjbd/z3d/9vd/7Pddff60o8353K54MyjzNs+08jVWFCWKeyzkrK7Edx+fyKucod5gy2g1MtSF+uJbc6+wOopkobDQc15GiStJ0FGdxFpOgzEqdZjoZ8DIm5cTFkmhjAE5FgUTqIBk4lCkh85yZSKq6rQmu0tF4u3++Px7JnLqBF0S8krSJnCU5u8CSzNexm443Nta8sE0bc9XqiYK5WX/zXdeG//4/fDxD1JlGhrGHsz2fLwbe4ENtD3AAYws8sFO2EwtCb7bwutcQXBAwAaAf4F6D7auHHnizw8HtAK0ATgBsYBrwdkVRPDj9rKysvPvd777zzjuvuuoq3/dnZ2dvvPHGAwcOwAkPR3pRFCAcBZHGRedjeRRYbinl6upqo9GYmZmBn6rKmFjaI8kudFEUjuMMBoPPfe5zzzzzzKlTp15++eVTp04ppdI0nQqK0NT8yGT/BoURIUxJ5PuRScWMHEJAAyVNkGITXYaY4MUaU8pNXgOTA45M8zlLZfQHGGmijVUToZyZn/hMI2wy6hmTcGwiAYrSxBoQVCAqCl1VihK36YdNyoVUaaq9OYdtvXLKC51gfn+lGhjrwXBVYXTVwT1nzla7uDtO+vLKq6r+mjvcWLj28Llnjl5x2zevvfzlIGyRhOehOz7zBJ9pdxqhS/TG+mqVF80wkMlYZAnGWVUkU11Jrqv8tRU3adGnZeO0MdVD0umZK2+59YaHHnoIclcBYQRNrIDEnhcA0/WvAC4giAL5Sr2H14b++/5/4TkFMwGgtHblloaoA+vlj20h0OIAwBgAJDgZwNuBzDLLsl6vJ4SYm5trt9twgQGVn+d5FEX2+L78OdRrgonf/fffn+f59vb2z/3cz8HELOTXK5sFMSckEiZmkslWNrW3mVZRqKrU1tb65z7/F5NkcurUy//9t39PKVSVUircCJc42rswf3MYhqPsdFK8UhSuUUJ5LtKMO2EaS8czGoESDZHMdZk2Q27kKojECvGggXwHU5YXIoiaojLRXQLup3HiaZJWvUKPonarPbd3MBbEcRHRzbI4133ZbXaC6KoomBdyvUxengzW/Nb1s3uvnwzO5ts53tVst4O1Z48u3/Kvts8e4/tmhl87f/07DxWnXygUWisGnV6RRrmvCAu8qtvXTZfHOQvd7XMrrfnZ6vymCjxFS3F+VTuhv7iUrZ0RAnGPU06qqlBlSY3y0CB4lWfYpMEyMfQ/8YlP/PiP/7gQAhKJwxZY/mHHgoNwAk4V4FPr16etfOGNYn96CwVLJ9mrBUwc3kJXF2tSJ8IA0dI07ff7SqlOpwN+fzsOgXpX9r5USo1Go07HuL/Yh/Wab61clmWSJBAIylqaw+2wvb39yCOPfOADHwBLDNggQsh4PM6yDPJ51ZPJ1w+WOvrbicFJYre1Xt/WAfZTG3b0b5+Z3oh5pKZiSI1Ivz/86wcf+vznP//www9PJnEljBUE5b6QzPPmwmDG5SjNRVaqUhLETSJRxwu54xW0RbQkqmJaKiW0SR/nYO4URpddkDJVRYKUFEoLTAwQE6pFNQ3rbZzVpZR5IYyBL+cN5RQ4Rx6JeIdGixlHjkxRPhF+x+WdPCLVmVOcV7KbBAu72a6rslNPdBbD7uZWcubB+3/mIz/yH37SJMBFJqImfF53QWDRrJnmq8SjcRy6qI3sJXp7baiL/n8haMHQIJ6x9JkdfQd426vEVrjoSBf/oQ4nZVk+9dRTTz/9tOM4119//V133WXbwVVl6So7cwt7Zs7188K2hIKtBy2rqvrkJz9JKe12ux/72Mdc1y3Lss6gQzXbCvABogA899xzDz/88PHjx7e3t0+cOLGyskIpL0tDLoCd8rTAkCau6yHtGDoJc2OeRKapP40HnEkBKqWJEYZM7DkKbEcl2iafG5MmzyCSUuDSEEES4QIjpkxONycM2lE0y6gvpR6qSVWaxCc8pBJNJsWIMK/ZmkNqdpyXc81gsPZiXI7nrrwBOy0xqdLxWS+QcuZqNnFKcYqrpli6UZ47yr2lYJYMNla4F3l6pmTdoj9pLcw1/Cvi0RYSI6SNoW6VTWQ+QVUh5baSpS5TXaVYCz2lDqcCwGoqWjLRBafZf82OKCX/3f/6kfvuu88SGcBUSSnrrv5AM9Uhqb6bsPHAfMOZYnFjx0ZfztfXxT2AZtt8xzFddzICReGOCrbhmy1ciFS2BwC/LMsGg0FVVY2G0SwxxoxTsRDNZvNiL2J7eMMCEGfD4dDmsr5M1zkp9dQy0iTnMJkwqYksWZb52bNnH3/88VdeeeX06dN/+id/WRQFxjgvikY079CFhZmbmuE+odlmb3WSbnih9kOTIiEzaWcQIx2TSQprE/yFUYVRVqSTNBFaEO5ErRnkeKUkjhvlhY6a7XQSE5SrYlSVsev6jZmFVBHMXJG5hCdxukUpbjdnjDMzMtzucNSfu+bK/iSjCXOCwvP3uup0sobzd75Hfu6/XPOBH9548IkqGrXmD44mG6w161bjyXZ/Mhw0PS6RGHbPG3MqZBxT8263MbfQH66R8UYQLVZOlPXPchJih5oQM2VBlXIpVQQLrE3WXGUSkrzvfe+9775f2b//ijzPPc+D09biBRAo9a91GAMrJdgdkMjaX+1p+IbbfekK9X5gMmDnAXhq7/JLd3KJX3e8YFmaAOXWrVJrnabpYDAAt9AoiuAeqp8J0Lmd5zeITjp69Ojzzz+/urr64z/+461WCzx4IDDe+fPnH3nkke/7vu+DWWVZBtIjiG1Tfxe4Pncca7DjVqJmd9AWLobR9VMClgUTUkxDJSNkFD1T/0ETBV4Itb7x0qOPPP7An3/2yJEvjyeJuYBoWJWkHXoac8Rc7ASIOaXSZWX0RZouuow73KQWoIwT5lHHN2H8ygRpqWQx9dZGmDqVoiYUwDR3lus4EPlMIV1URmHKAhOiOy8TQbEiDep0RDkhuk8xla4XBEGeDEerZ+eWduGKO7ixhXjQPS59XWyd7TRHD/zO/be//VYTq0ntjINaBypQOcHCwvP6PWIh5MJzDEgNuKbrHb5h2cIb3BF1nReoj2wPMITdX8tp2ApvqgA0Ccibwcri/PnzTz755Obm5hVXXHHHHXeAgh68H2wqtrrc1zLSEPIbUgldlE7acR4ppfr9/v333//xj3/8k5/85B133HHttdcCz7TDmw7eyr48MH8QhjvP80cfffSxxx5bXV09c+bsyZPPd7tdq1wHmdCUMnIpCagJgcenqGXiaHM6DZRijBdMRL6pd66x7tQM6ykxxFnIHd9xPDINhGrS3nOTy6EU+TAe5kXBXYd7buTe7PlE6yIvM3OKcZaX2TiZuGy+ObOAXDfFI5FvJ93NVme5ufvKydaKzDTiDbxARJ6lW5N56pBrb918/uj+a9+28vzTe2+4pX/uyzS6yhNbks50N88EHi7yvpaZQSKEaaXi4YDixNjtFTGqMka0kgbbOHOFTKeBngjQSUA1KiV/53d/C06W14XdHcBUV5JaqLJbAFon4L8BRu29Yiu/5UIdH3ZsvaWi4KyH48wei5c5ooVa23n9fLTl+grYKYFzXJqm1idoYWEBmtT/XuZMbDUAaXs61xkDW8cWtPFtNCTwFE1cQITpIWXkfcwY+JuP1nplZeXP/uxPqxI/8+zTX/ziFyfjJE0qgiJOm41oVlN/efde7rpxmp87t8q4S6iJheg6VVYoxby4FC7jeTpquJoRZcZFpDsasajpNjuSRYkklLnaQSiTLUpCUsXj87moorklL5obYEM+eURlo7NZOllcPCCwg5jIckHiweyeqzL5UjxutuZnkq0KL1TOoMuiW5Q6P85c+bb3qBNPR3g4j7qrI9fxHDfL+1k/0kK6VbG5HkZePCrzdDzTWhwNzuKq22ns7Q4q5IwD3BRUl1WOisKhmFNqQnISxDSuRLF//94/+IM/uOOOb5ouklGoWTmN3WVYQPsX9qWOIGCaBlpa2PdLtLUQZTuEwoXd7qiw42uWZRbXbJ8XG3dH28v5Wu9KCJGmKdiwLy4ugnjVDgq92frfIDrpl37pl37kR37kqaeeStP0/e9/P1h4FEURBMHGxsbRo0c/+MEPjkajOI6DIOh0OqDoAVmstcoHRICZ16klO/n6ylz4EM4ZULW8Jqc3LtXasNjG7MFEkXB8Og3JZyDk1e6mAhWNpESUotF48vyJp//8z//sb/7moZdOvRIXSCmjqcDIwYi7xPMcz+MO5SZBUCFRWmlhQn15zKQIIp5JhIIrrZkTVJow6k5T0mkVmliyvhdKqcpSIMKkVoRSE6eeUZXnxHETpxGQiMTdCp+PGp28SAfbXToqZg9ejTEb5okby7QatNoe2nh+NDj5Qx/+wft+4z/T8SQnnFETlrluWgQQCwSKPazsstdX8nXLFy7v61a7xEPgJ20cDbjobf03i1C24RsW4JSoqurJJ5986qmnjC3/nXfaBFNA88GhDe9otWF1z2Up5bFjx375l3/505/+tDEBvNioALv2YAJTD5tMvt/vQ9yjekYVe4TBIQXgbjkbCDT+7d/+7e9617u63e6TTz555MiRlZWVkydPnj17ljE2lcESE3OClBjJslSUtzkL0qQIwxYykk2Sp2klhfEYNNyubrVaWvEpeW+CeVUiTrMRwcbrh3CkK4+RkJOw02AiqqSqirIcxF+lnPiNluvMSxmhigXc9Tq4P9ja3ui6/rwf7Go3rnBnab+7IkW5e//Vm5vdeNLj69yPGrzZGWUJf+X5zp6bzz730NLN/+r81/+yc+0VoxcqMpfGW0lnZoZzzw8WkcrSZCObbLkY+0FUjmOtpYO5pKLMJ5ggzFkpKiMH1iZhhTaW3pj7vKrSKApvvPHGuitsnVzYcQKCZdiF+2h5WTg3wesQaCbYVhAv2YaWrrJPoGBxbMdz+HrhZOy4AAYAi5ZdAK1r3Zrqwm7rI4JZW52hqQM3tLVEUp2DhDflnHe73ePHj4Ovcp7nN9xww+HDh1utFoS6sEdzndypr/aF0wM4ty9+aaITYwqSf84NkYSQiSg9HZTW8UVrvby8/G//7b976cVzlNJrr7323LnTf/jp38/zXlV1u+MXEYqkOh/4B9qNq6+7Yv9oksTJIBlPSg87roN0HpBCCRS6LiM+o14mJ0KLMOJCV8V4rEke+Q1GUDrSrh+UBGdEyWgGiWKr328XkrtzqS692YjjRdeJxsNJML+UktBlpZzxVcFZ8zYtHy5XZppX7V0vv3Kt3nPGzd1xcPM1zVMP/4Yiqdp962bPj9xiNNiUBC82/dXTa7vmZ4aDtBnNVsVobmZ2u3uWKOW4u3JjeBg7uIW5LMdjzBhlnHKqtCzy0gSAwtrznF/8xV+8/fbbDfdujNuN9Npuh11/+wQKFz4Hd0iQboLOFv7EAAAgAElEQVTq52JbVmcr37DbHRV2fAXRF6Q6B0TbcU/Y+oB3dtpQuDQEWioQcIEx1mg0fN8XQmxubnqeB+kR7RB1TARiwoJ9vc5bKNvbDhR/lNJ+vw/C7zRNP/OZz0gpIdHv448/fs8990C4PxhoByUE7wJbAPgOd7w1MbHXGKBq3cgJFu01TzfofprnR4FZHzJBNCiNAptm+DUayb4zRlODWBRFwV1vv+eut98zGAy2traOHn38S1/60pEjR7pbPSmVoLxQbp5pTWap45oEKNT3HEQoUbISFUqkNDI/45jAHTdMlTYpI4wbB+HcqbLUBIepFGE8CiMhSq6VTiUxObExV3E6Xs+yCUY6H71IuPDYfHP/ISZof/C0w0aNoB2O2/0zJ8t05cDy3I/+Lx/yNEJNk9sdaR/kH0AJgYk07I4z/cCL7gA2+/YXFmBJoYcLefUL6+94AkJxCNNavxFsNQvw9snfJXPNYwCJC5/bJgBpgM4ALYyx06dPg0X24cOHP/ShDzUaDYvvlhqBJzAHeAhlWzOdfhYXF2Gsi/q7QWO43iCEQFmWjz322G233fboo4/ee++94A5tr6j61Otluxz28nNdN4qim2666c477wS36lar5fsmwO5Uw02lEowRIYpy6vBCjCm/FkIVZeZ63PVcE4xRaTL1DJdCUZNHk2qsKCG+7zrcgRi+pRgWVU/rgpLQ47tcMsdxm3LJKK+ESLNE6dRxCNaszFjL5F11J5NtJRKCSeTPz3QWuxurkyRfnJ9HUgspp2kGte95WZI2wsW42lKjUjImC5+iV5xwj8eUdEmW6XEvyyYl1SR0MFFJMll3iKeVMho3o3STRi+Mp1GYjU23QXDjC21MWAwVvnt518c//n/4vg+XPeyCXcn68l5+GYAVjmyQikPncFrZX6FDe/zteL5jOIDjHQ93fK0jCcSwAZkZcPn1w9G+IDSx8nbbg52VJZuskQqQUwC0ZVlCuIpjx44dP35cSnn33Xe/ffrZv39/mpqg2HMmKgSvjw6LDPBs76Ed7/IP+9W+r+2WELKwMHvo0G0IyfF49M577nYd/5VXXmHMUajMskmRj7NirJFoN415URTMl5WK4zQvc8dhrsswURhLhJVxhkAmIIE7NYagWEtREqzchiuV8FwfGbwhsixNYOOqmBr3YRO/lFLu+nleZUnWarYEL/JyJZ5sNsM9SOweoD939OGgvCHLP6cb1xE/OT2MYrKw7/r3OP0ceTLyms1GKxkn49Gg3W5m2URjSYjMxnHUaAo5EZV0WCfL+tQpPWdRyIS7bpXnGBPH4WkaM2b4e4zRD//wD3/kIx+xHux1stKu2FsogB8yLH59C+pXSP25Pa/f1FhWx20Hsgcg9GO/WhSzcG4H2jEN+7xesP0DOwSsLAA5yG7rSAqsV5Ikdf623tubLdsZHjt2bO/evWfPnr366qvn5+fBaHVra+ull16anZ295557VlZWHnvssc3NzbW1td27dwPVCFQRXMPw+tZFA3AQ+hfCRNKq+w/BSwEJZTuBHYSGkMMYeEgraLnE28ExWN8U3/dbrdbhw7e8733v+4Ef+Nff/M3fvLR7F8E4Tsb9fhcjJEWuZCFFVhaJKGMtMyVjz3Gihuc5Ji6YMCoFLEWexsM07ebxMEtHVTops0lVxFU6Scf9ZNwr8zjLJuNRP4kHSBeRTxuh4xCHocV2K2RstLbyTOi4bX+pv3VWlBtFcc7j8U//nz/xHe97v4nELAnGJigA2DYghOCOh1sb1rm+MrCk9k3rawIP4YmFK1h5W83Wsf1AAdAE/LJBxQQU22viPdvBRQuWb7dDQHor8Duzo4CACgSWMATIbqWUR48efeCBBwght9xyyzve8Y6DBw8Cu2LJo4uOfcEPrusuLi4++uij3/qt32peoT6nHZXrHDb8dPTo0ePHjx84cOD973//DvZuR1v7Ffq3L1lHWhuw4eWXXz5y5MixY8eee+65bnfz5MkXNEKcY62MK4xWRmTusIbWuNFoSUMwKSlxGESlVI5jsqAopLnrE8KkSSlKfccljqskk4IUZVKKIeHScyNKnFZ0qChYVlSSbim6WukRQwuBs18WvukkyEvdmyRF4O5ut2Yoz89u9ESlDlx15Xgcb/f6i0u7tFZ5VabJJt/7A+yFT+i3/6T46/8mD72t3T3b1yrIBho5rhMRrPN0kOVdovMoMMmtqiLRMscq07Iw625uMa1VQUywKD41XiFSVtwhH/zgd37qU5+y/JNdzAt3xP50sUJ9wet1IJCVvRt2HOv1mhcr79jZi1WrP7eTga23sAcmFxciM7StT9L2dqFeuNvtnj59em1trdfrzc/P33DDDfPz8+CMBlnlgbqyoAihnGFJrdzUztAO9A0qXHQgjZQRnaLBoPfUU08988wzg8HoK1/56oMPPug4LM1TjBzOZyN///zMDYE3z9xWXsWbW+fSatBsucZatDQef7JwCUGlqMLQz8oMO3SSxCZPGUNBOMd5K05FGPpKpEUxdUjOFQ8aBSE09KUWDufVpOSYs+Vw0t1EKFExX9z1zrLxfPeVk7cf+B+eXHv8UEtvTPoeb2b7Dw5feCFSQ1T6E1ZhLQPXCV1nvL0tiyx0ndFwqHTmMh4n5xwaUDGbFaeDFpLxnkqe18LETeCcpsnE9728SKdBVq/7/Oc/v7CwAGaO4I5gVfyXvyl1GINW4N8Aoke4QS1IXKzbi27WxRrUngP02r/wIvUR4acLeaG6uKXW398pvi4OAv89Ho8nk4nv+2BFB/0DRbK1tbWwsPCGLO7fGeniX2AOvd7/x957h9l1VYejp59ze5tyNVUzGo1GkqVRsWzkIiObZtxtDCExPAjd1DwIST7yfg9i8l6Aj/ISCOFz8PeLP8AUC2MUXMdgS7Ks3kaapun9zr13bj+9vG/fZS1O7p0ZywI76IvnD+ncffbZZe3V9tprr5V+9NFHA4HAXXfd5fV6IYEPXPqBTN40TbTwRCIxOzvb19fHcVw4HF69enV7ezvcVqk2oblpvJr1wb2NCisdXnUE4YqKFEjxi9//uCzTJkYDhlAUk5OTg4Pnjxw+ceTIkTNnevPFQtnliC5HquEYjjjIW5Yjefy2Q3PE3bbsdEv6ZkXRY1G0adiWTds25Ti0IPE0yzsUazjEX4SgB2VblmGSO52iZTKqPVBfFzPyYbmYcMySZY7Kcurzn/vYl//+//J5yDGLQ7qjWM7RdR2OfTCYM2ACIhgqLssvZuUbJB984UZdKMT9NmAX6OuvVjVxr34FubmR3F0NejdN8/z588eOHWMYpqOjo6urC+7A4oAv7QE6+ru/+7sHHniA4Fg1ILBdfAWKPB7cQIRJ2KyApr/c0Q805Z4nrBzs/nGDCIWFQuHUqVOnT588euzwwMDA9PR0KpWmyWkbZ5q2R/JTFFO+CsdJniDLiBTF2ST9h0WTUL7kokx5bUiqQkKlHPFkEgUPx4mUQ1JpGlpe0bKGEY3G6iQxZFoiw4oOa5DolOaiQDczjI8ntlJT1nOLizlBCBCrg8c3PT3LsGxtfFVJVnO5nOgl14/Tqu7VLWbVDnX6EX/rHfLcWZXK1YRqFLLR4GmTLaQztJ71CSXbnKesvGN5yX03U+Eok7J12yKX78rUa5fdt1nbojieWNEEkfn61//pE5/4JNhdAOGq2QQu0yU8uBERgA8sCU4lUK/HlhETLp7R4LcVDy4GRN6AsRTORGA/hAQGuhRYfZYz/GYymcnJyfHx8fn5eZ/P197evnr1atzOghspBJjBYSDzRTmE0heRs2ILhd++bg9lHY7sEYtF+cyZs88995xSoF48+NtTZw8pqszzoql7eKY+Hu8QxLVer5/jSfSNTDZlmEWW1x1b43kSX9EwTXJabZDwQqohE2s8TcmKyUuhQLhWtXSW5+xyGnarpCqybDtOMB5VHEuUfKZCVPqSLcfr6lQ2oCSO2ULOH/40a/xnJnfAu3OvvOf9q+74c+38kM4mNDMQj63NCAV6Iu3ze9OJaaWYbqgLTI/0BfyCXMrHovGFuRnKzNfUrVpcKNKM7PNz+QWLYUq2bQWDIUUtORaxhJmmuWpV/YMPPvi2t70NbX7V/PHi1wLlhPsTuN8A+LycQw/UrxYM7naWe3aTGAhpGAbgP/SI30JlN5+8eLmOtAnjrOg3k8kUCgVJkmpqaohnp2XBfWy8e7/k7CoawXHCqC7+k+pVww1JqVRKpVLnz58fHx+nabq9vb2rqwuOOUCBwxMQ99nKkksJfjBA10C5EOQMh40gWpl9VbOmspwipqwKJgwqmq7ruVzu3Llz+/btO3HixOjo+OzsrCxTRGDZdvl8QPD5AqZNkYBSdITElPcGKIb4V7AsT9GcKJATA5NsjWiboimG3P6GiXg8tmUJNFcS+ahcyrBMJpcscLzMOaX7P/HhL/71X9XUxRyLIslVRc4wVZoSgEm64QYQALYGQEBYYbRrWE1cUwBCNaCqUQLGiaY+VEmxKYQ/PlQ3gq/cxxruwguenYQZohAEG8358t/ExEQ8Hr/66quj0ShOChAVlPUKTRobf8UHVVWfffbZW2+9lSCVG4eW/BKkiBtB0ZIEoZBRsC35ORRCL9UQhMhMsLQARNM0R0dHT58+eeTIkZMnT46NjSUSScj9y3ECTXEC7+VYD8tJJAC1TXs8PopidJKTEALxibBzIslubcV2DBKRkpZEPizwpKZsz+hm3jA0jxT3edosy29aMisYpjCSz1k+sZWywh6flxf16fkpmuJq6mLRaE3/4CDPiw2NzYvZjE2OBTna31GY/oXT+n7vxItm5wZ18GS4o724kGBl3bRKHh9NsrDoiiyrhmr6PH5dnrdN3bFkjjJpx4DcnuXzL5L2jkSHolheYC1L93jZR/f8fNf1N4L6X3EffgUgX+SrJdcCtSXk42hhqmh2BVyvqPmqfoJWBGwC2Byo0ZjAC4lEVdVkMjk9PT0yMlIqleLxeGtra0tLC1x1Rq8FwG1AOcBYNx9Efp1Op8fHx7dv3w4B7mDMr9EclwOIuzsgt/K/rK6TRNSGQTwejh06d/rMsVR6Zv/B544cOUIMpRrFcT6ftyu+aq3f18jRYZri04vzmdwsL9qGnSNRSXiOosiVe5I4kfzZjEnRDFdUFZO2aK8oBcNFlRLEAKFiXbXUIsObrF+kpbBleRnbX5gdrW8Pph1fk9cYHT3LhLa0RGrH5vdzDbXt9pa58SNau6dJDmS9scLiCb/MqjzNMVRdTe3M5Bjr2CRTSTFfKuZjUSk5Pyt5gv4An0qM8GxE5H3FwoTAkFTWPr+nVCiQpMDlWEpf+MIX/v7v/35J997lYPiK5UuiPdo1Ub66jwmW/OQVO4IKy30LGI5CvSLB3AqKSEW/bpyBvlC2oXaCJJNOp0ulkt/vj0ajjuOk0+mamhpk4xUtr/zT3W91TWAjAEMUGbjhwfqgCeEZdzqdHh4enpiYyOfzzc3NjY2Nq1evdl9NhQnC7SQQFgBG8JGFjsBajDwT+qqADA5guQfcO1VUwIgeMAbCsUn6KXKRyCRcncR2IXu2qfH9+14aHDzf398/PTWbLxYKhSJBaV4SxXpd18kNLIZcbaZpTtVNck5SDqdMMcQ/lfjsMTTPiaIglOSUzaQcK6oUrVDYm0mPcGJyfceOD7zvzz/8kQ95faIiqyQ9dqlAsZYk8SxDvMhx2DhOLIEHgBtADFEUWL0b8yu+ci86SgpoBOyjFd+661c0tcJPRJgVRJ5t2+l0em5ubnBwsFgsbt68uaurC66kIdpXLyJy+xV6X/IVSB8iOBCTqushmeG0YSjwE4eFCUGrW6gge2ynuqYbRmVLuy3LxcnJyQMHDvz2t88PDQ3Nzo2XigrZDjuMYdiS6Pd5g+XM6qxp2DTHS6KPKPKG7ZCjN4ZkN6QljhUtR9X0PMk4yHgYyusJxDiO0fR8vpi0KMPjDYl83KGCij3PSySDr8iuciwvL1GhSCi5kNUs2e8L+Hy++fkFhuXr6uoKMgmbaeoKH9+qjf2cXf05efS78SvuGD99PFArOZ44Q+mUXdSKWUpXRMa2jYJhlExVdizNNhSW0lnaNg2tnPKdNQxZ4CWG5gj+OaZtG5u7u37zxN5IuBZu6ACsgAYQ5tUAfLUl7nV366/AwZGPo7bkrvOq+lph0avbQSkCuE5RFPrDqqo6NjbW399fLBb9fn9DQ0N7e3ttbS1yxuob0e4SRGZoGeRiKpV68MEHFxcXv/GNb8BgYOLVe7Lqof4RSyrWAu1b7jEzNJPNkpO4vnMDYxPjJ06cOtvbl83mHMZDO8FIqD0W7fSIdaLgdSi7UMjk1BldVx3GYXnCysrmE4ZjWB8vGYYueOh0PlkyNd4f9oUaFJOxaYlnLNZWS/kExTi8PyT5VmmWGGXz4zMzwTVxqmRExXXj6X219Wt4T7s6/CS34235sxPRzTXFvtkAHy7xaS8lMRSTzWZ0rRTwc0oxzVNqLj0dCvrUkmxaetAbz+SmOX6RNeopU9KsQYkJ2bZJXDYpyzBIQIT77rvv29/+Nsuy4XBYVYkwQOczhMwlAx9BjfgMKw78B5qtuLd8yX3Bh0viP+pneBbsRrklP6kYBkwEZ4Fv3Swa5A3cV9A0DdJBchxXKpVaW1uBBJZrBxt8xQdoQdO048ePC4Jw5ZVXwqgqmBXYYNBlCi3E7t2LqqqTk5MjIyOzs7OCIDQ0NDQ3N69atQoyHwNY8LiQHCITtzZyVoVMAEaLq4y64yvOwl0BhnRBeJVzQlAUORC78GfbVEFRTZPoPT6J3M+wSPpRqEGO00qyPDExlUqlxsbGBgYG+vsHJyZnUqlkNpuVNZVyaJ4ngdBIXA8SooYYS4g8cByeI4oUcYqwVcfmbaogcCHTUjdtan73Pfd96EN/EQuHSKYu06YYViT3u4nGBjdFgHlWmCrd7O7C8Mn/gPCI/Aio5e4jY313g+g4j+QDSOXu6NKeK5DHMMjxSzpNGGA6nW5ubl63bt2qVavgpAu2xBUTB/sT2gJf7TAqWM1F6UngywKUDKcYMA3k4ysMomLCuEJgBMbNAegBuq7D2WpZaSWoaZr29PTk6Ojonl/+rL9vcHx8fGYmUVaVTEnyaprm90V4wUs5rKqTwJFe0UPTrKHpDknwbLAsUbRZ2k+xjGUXNWPR1L0kgnMgyrN+RTMLcsGiVZY3vdJmis45dM6yDV2jWNbj8ZENusM6c3OJeP0qv98/P79gWZY34Od5VrPyul7j9bDp7HDLmpumzz1f07FNz40aOiETh1J41rFNR5ZV27QcyhLogm1ppla0LYVniR8S8UdjOMeUOY6kILAtityOpqyPfuwD3//+9yiKA09n4AuCIPyxUNC9WMsxFNw0XGAWxPIMA6hmze4Gl3x28303W4TKQGPQLDYOUYMNw5icnJyampqdnWUYprGxsbW1NR6P+/1+iD4Muxn05kbbLHj54fUoQELksyiTMpnM+Pj4E0888aUvfQmRGcbj3pwtOanXohCWA0QIjBb2hUSa0sQQZFuOYVJHjxw/cuTI5ORkz3PPTExM6MTdQfIIdQF/UzjQEvQ3iEJA1tRiaTFbWDAd2aRI0FcScoyXdNPSVUUSeMtWDUrPyTLvDYai9aYTUkyd5Oy0dUdX1JIs+IJ8IMz4dCUfdPSSLyZpmiJagRJdogWd1WpoocTFm/PH99duvrKoT7PziuNttkojPEkgxKVTC7pa8AmMkstEwoFkYkwUeZqSlPSsJ8rYusdSaJOaltgQw1CKIlO0LUlCQ0P8Zz/72dat22HjWF9fD2t3yTtCN+65lwxA7cY3QHUMn+HeIi/XiLvB5Z4rOnJXg0MQ8JeCS3mAdRfT3QrNQheQUAXEnq7ri+W/8+fPJxKJSCSysLBw8803NzU1gdX2D+EtMJKf//znoVDo/Pnzt956a3NzMzQL/BxkcPWA3YSGTADNwKqqnj9/fmhoSJZlj8dTV/7r6uqiKCqXy1mWFQgE3EId2kd574YzrCz8uxxdGwa5EFf9FtcCRBLEkiZx7Ej4pfINI4diLmhQS/IQuPOo6+piJjUzMzM7OzM5OTUxPjU9O7eQSKklWdf1olxQFBKnRhA9HCeQ2KGBqC/g7ejovGLz6h07tnd2bK2pDRZyRUFyiEWA5XWThF+ibJKk19AcXrowiLIOVA0HgDCCBWcK5cDwQbFGVgwkADXd59Rof1pSF4GmkMdijys/IJzd1SACZKlU6uvrGxoaCgQC69evb2lp8Xq9wBCQLQCXQGWjGtnczV78M55mLKsnwZK7t9cVg4CVQNspcpwlB4GbAHiLFOLe8V/4kITnLocUulBQ9mIplrJDg8MnTpx4+ulny3rlKUVRyjGHSGoojvXwHLgiEdQhzv+8BIdZNrmpZrC8RxSCLC0ZdlZTjXI4b4rlGcHjpSixJFu6teCTGiXeb1MlnmcUhSqUtGA4wAcDpmZmMplQMBwKRXK5HOVYXq83rxUkyqPxhq0KrONlg4rH8M4tJrwRiWMpU1Uci3J00zZkjlhYcyxtW6aqyTnLVAXiFmZpBsleInLEIYMiF0t5irYpyvp//t8vf/Zzn2bo30fWAVdWcheJXOjz/B4ur/IJWQl8t+SSVeArIABwh+p4MK+y//9S3T0Y90gg6NHU1NTo6Oj8/HwgEJiYmBBF8brrrtu+fTskB3QToRst4TqPewr4FgMXwVtU1xKJxEMPPfQ3f/M3wA7c3/6X4f6xfyzXEZQjXZR/QmYb4lyCHlep1MLBgwdPnzk5Njx5+Oih0fEREoGVCvultrrIFQFfo8TXCR4qryQKynxyccbj5csslVM4h6NIUDzaMhQ57w1IiqEXVNnrafXW1+cMw9K0WpEvLSaz+XSwPpbyRdfUr8kM7S8IobqGtUb2bFIxmiO75dzxPMcGedswV/trSonB3mjjFY4yylB+0zYz2XS8PpZJzpla3pAzAb9HzWdFUVRV1XZ0nqNtzbAtg3YMkSfqF0Wi8JmhUOD73//+vffeS0Lz2+T6hl7+Y8muxbMcxC5mZS6eb4JTKvCr6kOxi+mrok5F17Add0spIDFFUSDfDrgNuCmiokH3z4rGQUSBx3SxWEyn09PT0zMzM7lcLhqN+ny+lpaWurq6xsbG3t7eF154Ye3atW9961uBk7tVpYsHNVLxt771rfvvv//YsWNjY2Pve9/7KsZfPU60J7lfYb/uQlmWwZBw5swZnufXrl17xRVXNDY2+v1+dzU3WPD5FStgTXhAtuAqJ2dqJskQZJTNJ8Q8W16+l5NulcdMkii8LBBtioR6Kf+V41m8rL44JG8hVebw5HTNNsl9bV2zZLlYIn8FVZN1YjWhBUGSPL5owFsbjzskB5wFC+rYvCjyZa8PQTcslmhp5PY0QxI5cOW8Xr9XlUApxB1XtdqEHMY105cfgQTwPjJMDRzaKmw27vVCCFQsfXX7S5ZAU7BzACUbMiscOHCgUCi0tLRs27YtFou5sRTaqVAt3AzfDYQlO12h0N0OgRVMb4UP/nRewd46lUq99NJLhw8fPnPmzPnz5+fnUoqikNw7FK9phih4g8Ew8V1VDKKYW5zPHyoWVEEQDYvcCPD6eGKpZQTdUIltjBU43ieJPsN2Ssocz/MiFzdNrpzs2SwUFZ4N+/1+b5CemJoV2Gh9PJZYmKYoqiZSny9lHNPv8QuqnvbybQuZM2tat0zMnnEci2cl2pFoSqcYVVfzmi7ztu1YsuUUbUcnQQ2IT5JjarptEx/bcrIqYjcNBgPPPPvUlVduqwA77gZUVYXzODClVFR77X4CBkNYDjC34q0K9DfHnYRbvUadGMeG1IW4CIkzp6amhoeHFxYWTNOMRCJr1qxpa2vzeEhckGKx2N/fv23bNnfgJWwHbaRYgn294sP8/PwPf/hDtCfhFF7xw9eoAm5JK9rHqcFCwBJMTU09/cxvhob6Z2anDuw/mEoWVJnjmWhDfI3P3yZKAZ4NUAxvWGYmN58tzJMg9QLDcqbkZW2dowy/XHSisWCxmEpak8FAPceGWFZ0GIfj+ZJslYpGJBKQOYck2dXpEmVHovFCtqhTpYb6baXs4bwQiXLC/Hz/mrVXZHMFR05QvOQRRFOX04m5oIcrZZKUQ24tUCQhtDeVnAkFfbpCHPd4gRNEzlKLoIVzHPeZz3zqq1/9quM4bn9MjHsEaI/qrJv1IyIhZ4TzrAoYXsxPgDN0Cj6qkHF2yW9xUarfAl+9SOEB1RRFIalpyhl8wawCcg6ENzzDBtqtbMF5lqZpcMFtfHw8kUgUi8VQKFRbWxuJRJqamiB/MAwSHW81TZNlGS6E4kRwg149o5VLvvnNb37kIx8ZGhrq7+9/3/veB5Wx2ZW/RShh71gC5r3f/va34+PjLS0t27dvX1hYGBoaKpVKmqatXr16/fr14XAYdo/VWg4ghpuoYUjYPlpQULoDv4KfgAZoPnlVBnV3F9CLWznG7qohAx/CJ3CUtqTrVfWHS5a4l6BiSEAsbjqCFgCj3EfDcE8LlCS33FmhcXzltqQA3iJtYh1cODCC5nK5EydOTE1NRaPRDRs2tLa2SpKEjBEflpzva1R4OelJFSAYGhrav3//oUOH+snfYCFfYkmiE5L8xHEcnzfqODTPSZpuk4DdNM/QnN/vL5YWDYuWJJ8oiiw5/7IVWbMdNhDl1HwNS9O2OKEbOYlfI/INqpVzKFlVddpeVdvgLyjjcpGuq2nO5fKKbNTUxFVrRi468dodk8mfdTS89+z5PY3xjQIXleUF3SYXnjWVnPjRjEGpiu0oDi1btmYZ5TsUJAKsxTIkn7wgcrJcFAS+ra3t4EsHwuFgBSEBigNi4T1MN/1gfaRzKEFcROhVUwu+esUH4DjQBbQDxIMswN1CxXEYkgfQJ+hSqqqOjIycPXsWWHZra2tbW1s0GoUtBezk4KKl+9oa8FNMc1HM8rUAACAASURBVIvMDhNLuYex8rMsy+fPn+/u7oZqCOElZ7RyU3/ct7iOODA3AKGwLAao8YnRJ598YmxsJDG/+MzTL6STsmUzHFcXi8YjkWaRD1G0t5zEk04k5nJqQhJYj4fPZWWfJ8zQrGUpFG2oTknTTUYURG/YoniGlVhRYjh2ITXmZeuk2qilMUZxzPB7AtFtVmpoUR2Pte52Jk8UQuuiYS07lbL0OT7YzFpZVZE5yhEoS5OzhpyP14bn56aCwWAus8AyJkMTD0JTNziesYjHHklexHHcNddcs3fv48FgEJbVzb4R62Ch3WYe5LDVwP9D8BxQFHYF0DLkQIA23WOr7nfJkmoyhLnAmrrfQvh4SZIqSMCtC1rlYIa5XG5mZmZ0dHRubs5xnFj5r6mpqb6+vra2FhkCjAc/xwc4m4ajK5om6TvwduGSU1i58Cc/+cn69etfeumlm2++ua2t7SKFGfiSo0d5hUxFGoTjD3SqhfLZ2dlsNnv+/PlUKsXz/IYNG9atW+f1egElYI0q3FPccIYzIzxddX8Fqw+2TIhH9ao0JNQ/3HiyJEBAb3DbSBDVEbFhChWrufJaVLyFNt2ggL2WW+PB7iB+FXSHswatHZ1HAWnRtrTk2KpBDdVwTcGZBz2cIOzT8PDwuXPnLMvauHHjunXrPB6Ppmmwa0IdGhG4Ypqv6c/LSU8CUyE4deKqGwZJ//v888/39fX19w9OTk7CobhtiiSHCUkSJwUCYdOgNI2k7GUYimNFmhKLJLEA7fMRfybbdjLZfChKS0LEUlapuq1RUzSneKVang6bVFEx8iLb5PGJ+eKcrkg1NX5ZT1BWlOVF03Q0eigm3DKX+3Vr/G1Z+UypNCFyqxw17tAlrz+n6XkS4UmxKEajGZ2cvpHMXA5H7LAkrrhp6hfssc677r37kUd+XIFk1YRXoewjLblJbjm8uTT5UTEk0NVgj6soSlnpJN6UEBkMmC8idIWN1zTNdDrd19fX29trGMb68l9ra6tbDwAtAYkKiQQ0JyRRmCN2tNyUVyiHb7EFYGdLMrUVGvmjv6peIxgScDE8fCxzLqocmNE8P3z+2WefnZ9bmJqaefTRX5omZxosx0W8Urw21iEJMUEKsYxU0hZS6XldlxlGZ1iH51mBY8hlKF+0pGV1W84pZl1Dh0JMqhzF2pbDqIuLfl+E9scdSc/O9kdDq9maltT0c2Jsl2maoj6o2qstfmFVMM4zSi6bpR2bslQ5u+gTnGIu7ZPYXHpB9PmL+VQk4smmFhzDkHw+lsShtzRVpigqFov97GeP7Nq1C5gpqiNuSYNsGpC8AgfwkyW59iUvEO6tcT+AOAlUuVx3IAKBatyfgHiuDqQC0fNwUuWkY6bjOCCnjQt/k+W/oaEhy7IkSaqvr+/s7GxrawsGgxVzBDkEylYFOrlpGZ8R5/GhosGVf2qa9sgjj6xdu/aaa66BFqDlFeADYIF7pkiAbqhCO27arxgDzmthYeHkyZNDQ0OSJHV1dbW3t4OTL+APnuZgfTCqAb9yzxcUUDhiI2cL5TsEFZ26R1j9qppXV9TBMbjLQZWBrSOUgxJzMfzc3c7Kz9VduzkzhJ6CftEbtaJB3CFDU7hBxfoVy+02fEJTAG335WJVJQLxwIEDw8PDLS0tb37zm8PhcPWOFxEVHyrG9pr+vJz0JDeAALHgXj1oCRMTE3v/8/HTp08PD58/fvy4rtEMzem6JYlekxwGizwn8ryg66Zj85IQEgSRohzd0h3K8kg+jq6T1aSsJyQPEw62WmaoWCyaVJ52qKBvNcUVSsYob2/2Sas0+nQhy8aj20r0S6Vs1Bu0LT2k2gNerlPWByW2wyesyReHTLafcQSlKDAkPrLh2GTXztC6ZWvklM2yCZXSjm1aDEOpusyxNMczX/3qP3zuc58pE/CFU+7/uv5uIABNAkOEQ0m4+oHI6q6M9gl8+18bfoVf7qbcVYEHgfcPcbcSRWR5uFcDckqn0+WID6eLxWIkEtm+ffvGjRsrWBWSHw4SjUbuc+hSqTQ6OtrZ2QligGXZRCKRTCbb29s9HpIPEkdYzRrwlfsBx+xm8e4Kr+fzcqCGMcAIccBociuHsy8cO35k7969oVBwYGDg4ItHFxdVyvaHAy0cWycJsVi0wWQYVS3SrL6QHFH1ZCDgN03HK0UcnaFYQ7VkVhTmk/lQbZzlJIZnbDqslGYpmRbqPSoVr+WEheTzauDaVfVr588+tuqqdyxMvVRfc7WmncsXDS2XkzxeQ1dpSwt6uMW5ibqaQCY5x9KOYTkCZzOMWcqmaJoOB/z5XMahTJp2otHo1772tQ984APuYyZYRNzmIvwB36AcL6bBT3edSxYw1RgIVAayEzckbgUO+33FB/fKoohCVgafwwBs2y4Wi/l8fmRkZHR0VFWJk4Df729ubgabK1qbkAmgjoUtQ4NuVMEuEIBQAnvL0dHRtrY2uCHhbh/qrPwvEppb7Vj5EzQjgSYEejAYj0FrvOAJRJqBOsgNEJIwO5THpmkODg6eO3duYWEhFou1tra2t7dDshScUcW3sLUDLsqQBCKQVPTlseO8Vp4Lvl0Sf/Bt9QOcNKFhyX3HuaLyqx0JfF6x+vjT/aDrOsTgQINiBQsFiLkLgaXjZgBnDUgIwVkQ4MC6Sain8s0+sFyapqnr+vj4eE9PjyAI11133Zo1a+D8FBcIhBqwBegdX1UA57X+ednoSbirwAspuGyGYcHVA0UpUbR95syZPXv2DPQPDQ+PDg6eZwnmCwwtMAy5U0LZEsd6KVpQFI2mHa9XKnNex+YWWWdV2N+mGsWF9FAgKMWiTXKB4Th7sTASDXXzVNui/oxp50Tj2nDMSRYPesxbuHCvrpOcQSwjqXIm4G0pKMO6MxX1r7XVFlVb4MWkpheIGcDibUelaIOy9fItR5JXwnEIc6Ao27I10zLq6qI/+tHDN910U5nLE9vMxf8BvaEyBCIEQXTx7bzamoC4QHWmaULka/AigsucU1NTZ86cGRkZqa+vb29v3759O1ztAUoDxgfuydWjRWJ2yxJFUf71X/919erVg4ODX/ziF1mWzWazX/3qV3fs2JHJZD7+8Y+727kY5gL8GidyySL21YLuYuq7FQVVVcEEDYUX+A5xC6UoamRk7Pjx4z6fr6Ym2tAQf7bnqamp6UMvHTn00slSyaGdoE+qjYTjnlCrIEiW6fCCk0xPZXOJUCikKKpHEnmSHcVRtBIjUHJJZTlfwFdDS0wq54iBWC59qFZYa8c6Ve+wMqQGV22Vwtnk+GBo3c3Jsce9XJe3QXbytOSTcplF25QpvUibMmMphlqKRYOzk7M+P1/IpWhbYymaY2nDUFmG4kXuPe95zw9+8APQmIEnImQQn3FNESXQpLokqrvhhq29qgdk/dg1qGjIf9xSvLplHCfoMTgvFC0wX3gL15vhBsPY2NjIyEgmkxEEAeJf9Pf3a5p222234T0ybA0/hwFA4xXmKxzbkjIGZJhlWb/73e++//3v//KXv8T6l/BgGMRmDxCDBXJfSXM3iPDp6enp7+9fs2bNO9/5ToqiFEV5+OGHbdvesmXLzp07wW5d0QhME1pzUyuU4y1xCNA/PT29uLjo8/muuOKKjo4Or9fr9geQZRnoCC8Uw3kFyuZqNHDPovp5OYZTAXzAJbBWgm6xJDq92t6XHA804sYKoA7DILnYMZcUMGR3terWAN+qNwloD6t4BZjgRnWwp+Zyueeff35+fr6tre2tb30rBMxzG/ncXSPoKjYA7jqv9fOyeXBf645fbfugnLo3K7DYFEWDkkRRVDnmJHX1VddeteNNpVLpoYceOn369PHjJ6enp0ulkq6YPp+fsqlSqSRJfnLixrC6LpsmJYkezmnUjNx08kAwUNPatK5UMJPzaX+I4phgUOwyzESqdEBidtQEGrLUYUWO10n3JNVHpdJ2hjYobtHSDYHnS9o5kW32UVdkFoYdfp9X9Ouqj2PCDKcbjmqZDu2Q23wEF8mlPLjZ51i2SS7d205NTc369evBLdplE7koUAF8YE8G0gXYAZ4lu1tBzHMXXtozNAVkT26eS5KmabOzs1NTU319fYuLiw0NDbt27brlllsEQQBlDoYKcLiQFNZBaeTm9RCMFTgvEpuiKKqq3nPPPd/5zncGBgauuOIKTG4KLHJJWl1udo7juMdwaZvp5Rr/Q8oruBt4N8NuAUDH83z5J2PbJk2za9a0tba0cWWCdhzqL/+Pj45NjMbj8bWda86c7jt5oq+oZIvzE0J+pibaylIhgYu0NGwP+pKJ5Kgo+ixH1mSLZXhJ9BhWIejhDd1Mz02F4oGaaGuxpDQGugqlecZkmUK4rl7NFZ7W+DcFYq2Fgb5wbb3giyYG0sEoiXFCrrMZioejDdOkDJNn+bnZBEFwyyKp22iWcUjEfI5ldUNdt77jK1/5vw1D4ziy36Bp2h2PDaUgYizycTgggKMKMPagecl9gHvJS4C4hC2ALwWUA8KDiEXUxZo4AJSaUAdNJmB/dRynUCiMjIxMTk6WSqV8Pi+K4oYNG97xjndEo1G8dH3dddclk8nDhw83NzdjKCk3J0TgYGRO4AAIK6yMNWGoWL9YLOq6vmnTJpgXUKh7Oq/4DDIMFBrc1eAAqj8HgOi6furUqc9//vPf+ta3tm/fXl9fn81mu7u7Ozs7v/3tb3d3d3u9vw+fCAwf5oIwR4pwn9QA2KPRaCQSufrqqyG8yPDw8OHDh2VZXrNmzebNm2tra4FDer1ejiNBWJDDuIeNHeEUcE2xxP1QXd+tywJzA/jAV5IkuT+BhXtZRpRruN+6O7rIZ6QgGAYqNJD9DVgfKKNLKmrL9VKBSEAaAECcI/E2sW3wJgQbkqqqfX19J0+epCjqLW95y+rVqxFVwEkRDYdAIGBdAwgATOAZ8Xm54f3Ryy8bPQkWhmVfjuyOvpywAHBl5oLAI3lyRI/35ptvkWU5EokEg8EDBw5OT05NTk6bpm05jqprmkGRpFKCh+NJrlpDLbAcXRds0nRqZm4oEPTW1kTzWStbSkViXsNkIt6rdWthsTAW9LaZdmk29ctY4Ias2uf1cY4ekZWFaDSi56IqO2PTff5wjal1qsUsyxVsp5zEsXwp1CFZbynaYZyXA30RPHGIJ7fFccymTRvj8TiJlbO8llS9UXbzRLS9A0eGyiBL3Kdgl4BGy3EHdxyjkZGRo0ePptNpn8/X0NBAooBEIp2dne3t7XBzBOy6sHEBHo2Dx3khk4Ie4RP3thLkqG3bcE8QAuhxHCdJkqqqFQT8ijNF9oobXGSXr/jta1HBPX5EA2TiHMcBjwDxUB4qMQmX4wOTUI0Uzds2xJ2j29rWfPADH5qcGnv00T0NDfGJiZmjR47LBTVLLQpiDUfVUI4iiaG1rRsX84mFcnwjURLkUjEQDKuqzHG0z+8sJHNxPhllOMuqZ8IaLc/wJaZUK3pidZ7SfF6I8WzC5rsTY89taN45baWjtBzwe4q5ZGpmNFYTWMxnJJ/EOIzAMybJTGJ7JZGmbINhFLVUV1f3la98pampqexTrJFLGOXIom7RAkBGXolqCqA6bCowZRss4h+ygoiHFdo2tIxup4CQQGVQ0y2QcPy4goDMDMMkk8mB8p+qqj6fz+v1Njc333gjCb7v8/lQz3CzO5Zl4/H47bffjj5MwPRQ8iHJwMThW+gaj+MrpoPfAgGGQqG3ve1tPT09KK5eLW5Dam3UWtzh8VZoKpFIhMNhmqY9Hk8mk6mvr4/H4/X19U899dTatWvBNwvctyG+ESYkAcizLIubLpg72opQBYQZrSn/GYaRy+V+/OMf/+Y3v4nH401NTRs2bNi8ebPbwg0GNmgN4eyeAq6pu3CFZ1h60Hpx7wqIhAuHdSqwyN0s1Hm1vWMLICKRQASB5DmBnzCMahUZR+VGHvcAAHkqxoyTguWjKEpV1dOnT/f19fX09HR1dX3sYx+DvI0V4AW7Phy8gpULsBSm4O4XJ/W6PVw2ehJupIA/Ai8gAUxJGAmbYagLShIJT0q0UY2cAX34wx+uqanRdOVzin7w4MEnfvPUocPHy5njUiTePC1YtmbbkijYPMsJnD+bydm0Qy7dqNRcPhEKeJuaV6XTi6Ztqcw0Q7McE84VZr1efzSwKS+fC/gjqmbq5rzfHyxkZYY1WD7AUFHTkB0qwUuOZTCmQZmmLnlI5FSLhNkg6EeUbtpxbJNmKUu3OJ42DP3qq68GRRBRrRoPql8BmlbgNCpMwFuBrYB3xaUpTG40hb7g32QyWfag78/n8+vWrbvhhhsgkxTLsjfddFOpVMrlcsDjUEmC3TZ8DsuKkgbmi6/c8gYnHovFFhcXS6VSsVhsamqybVuW5Xg8vnv37kOHDiHpVoNuyRKWZYE+YYKIV+75Lvnh61aoaVqhUHjsscc4jnvf+94Hit3zzz/f09MTjUY//vH7g0G/ZRkMS/E85VAGTRM927JolqU5jutYs/Zv/+ZvZ2bmHn74R+vWrRsdHjl0+AVNHxeFOjub4+nGaLjRIwTaGtcVS+lCKef3+jWFZrmg7Si+EGOL/tzMHFsXM6iET+PySsCStBgnZuaDqiQHuKJcE+SyQ82NO0bkQSupBYPeyfk5v4+tq603tLzEioxNG5rhD3o01bJti+e9+VyGxGv1eD/96U/feeedoMeXVQQSI8pt/3djAiAJ6ivIQ8upTkiwMbiehpISkedVrRSiGWACfgvlMB4YSTl3L6/rOpAV1ES0gWXSdX16enpoaGh6elpVVTC4dnd3v/e97/V4PKgVub+qljqoumF9JCWsjEcSOEIYD1qGcDoI0opvNY0EQ4dhg7qDc7+YB7fMA1gtd5iOgLJtu7a2tlAoQHdgH2VZ9rHHHqMo6v3vf7+mkfiooiheOGKmMBokSgFsDR5QRUZCRtuMruuzs7NPPvnk29/+9k984hOgyfX29j788MOaprW1tbW3t69ZswakO3wOAL+Y6S9XB6ANUXOB7+EO3/0JIgAgLY55uTru8pWf4fQTvK9YliW5jC6kN0EEQJRAHQXadI9qyV6wBXhbgXs0TScSicOHD8/Nzfl8vttuu+2uu+4aHx9/5plnrr322ra2NryPAp+D6oZzrzAcQh0wVuEqLzmq16LwsvFPAv6IzBG2lbiQbvOdm88iyKCCbRPvpYMHDz799NP79u1jGC6XKwi8SLIS2uR+nOPQoiDZNmUalN8fdBwnW8pFIzWOQ9Qd2yJhqXme1w3VtBSv0KJZUzQlClyopM6Lgs+2Sco5iibGRoccLmg0Qw6ANU0VOdO0DMsyypoZ8d12KBKS27JJ6H3TNGOx2J49e6677roV+AsyO5xX9QMiPbwCuKEnHeQYQi7jljpQH7AToY082t11qVQqJ80enJqaggsmXV1d4TAJWwUYjJXRXITjhFfowgnibQW8h/ruf3VdP378eF9fXzwev/HGG48dO7Zjx47HHntMUZQNGza86U1vwr4uxweEPAgP+Pm9733v+uuvP3r06M6dOzds2GBZ1re+9a1bbrklGAw2NDQAx3dLa/gKrdMAvVwuNzg4+Ou9v1xM548eOdnfN2zojN8T93niHBMURFaUJIuik6m0bpkeH4nryHEMLzEq0dMKtdE20ww4LFvUZnRnIV6/VS5pqmYFI0HLZktKQfAIkiQZet7QdI42i7kF2yyIrF3I5TiG90tWKjldVxMpyQVd122Luv2OW//5u/9fU2NdBcb+IauGTku4JcCtMHBYFBKAeGCOciMtwt89DACgm/m45RkEIQRog8UIQqQWCgWKokKhUGNjY3t7O8/zwWAQFRdQLLBld3cVz24VBIaXz+cdxwmFQsjrksmkKIrVt94qmlryJ7Sp6/qePXve8573uEG0ZP0/ViFg+L/8y79EIpFEIvHBD35wZmbGMIyvfOUrt956a1NT065duyB118X0iLodohPAFmYHRimwrrmlO1pZEonEmTNnQKLX19d3dHS0tLRgZDgcADI0WBRYdOgIOSe2D4o7bAPAsxAFFjZ4MQ9u/QNaWK4E20d5B9MHho9vV+4U+QbSCHwIQmTJRhCNYRUMw+jt7R0eHtZ1fePGjV1dXaADIfLDABCYOB5op9pbHyv8dz1cNnrSkhfCAdCWZeFOa8lVBOACvoIWkkql9u/ff+TIkWeffW5sdKJQKNI069jEGurz+R2b9nqDckkxDMMfjliWo6mWKPhF0QMeNqZpBv3xZP5AxHONQ8uL+cH62JZiKckLrG2R6E0kvzBFQgxTFMnaRsLHsWbZqGPajm5Z5JoPJLRiWAuSAa9fv/7JJ59sbGysxh4YP9L/CriC9FMBBzwzRp4I94orENfNU/CGP+Au7IwHB4lu5DhOU1NTV1dXS0uLe8uF1ALDgL0pFILHIhyBA7daMhF09dRgSNAIEiqoWfAvFrrFSXU7l10JTBx41te+9rX777//7NmzY2Njf/7nf05R1Be+8IVgMKgoyhe/+EVIAAwTRFs6SFDQAFArJeeSlPHSwcPHjp0YG5s4dvRkf98oZfu8UkTiwwxLjqH94UgmX8jlcsFgkKRcsPRQ2J9MJimH5YSAPxAyHX0xtxAKrfJ4PMnFDM+FbbbIcj6KcWS5wNGUpiuUqYf8bDE/H4sG5qdmfB6foWVoEonbkZU8xwlNTU0//elPNnVv5Fxps1D5QElzCasG5IP/An6iuo9mJ7gZCu1Xq1DAK8AAsKSQQKuVqqqzs7PDw8P5fD6VSvX29kaj0bvvvru+vt7r9Yqi6PF4EP4wQdgX4RGqe2zV8wXMR/9ox3EWFhZ+8IMfRCKR9evXw52Pnp6evr6+2dnZz33uc+WD++pmViqBLsDkDJ46FWxhpY8v9R0gtmVZqqoWCgWv1xsMBkulkmmaCwsLkiSxLNvQ0IDKxwraGy4fKEMwIrz0AJ4ucNoARAELihwS99gAh2w2i/Y/wzA6OzshlCXk0HDv6BAH3DoT9F7Oj0vCOsC+Gvu6VGj9/js0HGIRLhzMDlEXKmB8AayPSOguqXgGkKKbHbRcvQTAycFYBRCemJg4c+bM/Pz8pk2bmpub4/G4+4QEIAY2DhI1sOyxSnJ2lYPvo6YLg3FTTcXwXv+fl42eBDSA8nJ2dvbFF1+sqanZvXs3qD6//e1vT5w40draescdd0BQuCWheYErkTDzum729/e/+OJLR48e7el5RlGUXK5AU6xpWizL+7wBlmUNk6QbpEgkGcYyiZ8pBNXQjEzI15krDZkGXRfrWMyNcywJxVTeghCViHghMZRtm6alk5E4hGyI7zYxIxmOQ5K+mabO8SSbI8/zt9xyyy9/+csKO9mSU1iucEklqQL5AICgdAJ+owseEDNUwGqLi4v9/f0jIyPFYnHVqlVr1qxpbm4OhUJIM3CqDd4AWIgjBCUG+IVt2z09Pfl8/tprr4UAwbIs7927VxAE8PLGr6ofYBbg5ISLC4N0K1I47OoWLq8SmBSM2XGcf/zHf/zkJz85NDSUTCZvueWW8u22kY6Ojh/84Ac33HBDe3s7cpwllWxUJcvrrnOckMtlBgbPvfji/sOHj547Ozw2Os2YtT5/iGYEy2EC/hjDccWCats275E0zRRFwXKyJS0lSAGP0MpzjZlin6FT6zdsPjd4OF63NVOcjEaj+aIqspSpqzTB7aJaSplqUeBZjuZyuTmvxDiOZhgkAP33v//9O++6XSAZ38rn0GUP7ovh4MutY8XSg/CD8w6WZXmepJtwfwuK+wVf+JfdD0AqVzeFcs627Xw+Pzs7OzY2lkwmbZsE+Whra4vH47FYLBKJFAqF3t7e0dHRe+65p7a2Fv1SQaKA4EFxDqt8gSP9PpiFe5yICUACjuP09PRYlnX99dd/73vf+/znP8+y7I9//OO6urpTp07dddddHR0d7s8v5hlwBlxuAQIX89UfXgcVFBTDuIPCkovpxb1e+Xw+EAgAw0E4g4oDp4pwtIRWRmwfNxjIBmVZzufzo+W/QqHQ2Ni4bt265uZmMHGhFIdecJNWKpXArI4mHEQe7OtiHoCZL/ctLBnMAurgfWcoxN6r+1q5ZTc2Yk1EQtx+uK3XQLYvvPDC6dOnm5ubu7u76+vr/X4/LCKsxZITgQvRjz9OosveeOONsKXp7e09cOBAMBi89957IeVD9RRe/5LLxj8JpCMEZXYc55FHHrnjjjuefPLJK664AsI3Hz58+M1vfnNTU5PbwlEN0AuynC4nymG6uzetX7/u3nvvOtf33qeffvrUqVOHXjoiy5ZparmCQnwIWL+iaI5Ns6zIMgJNs7pOzssEicnkJhmODoVC6cws8SfkuGKxKHlEwoItkyF5dxjbMW2bxI3QNYuibJpceLOJgkIZgEamSRwyKIrq7u6Gjeal+Q8tqSShV6ZbWwL1CFwXHYfkcgHXBJAlDMNomjYxMQF31mRZ7ujo2LlzJ9xJxo0mEmpFwA802iHkwTbgOM7Y2Njp06d37tzZ09PzZ3/2ZxRF/frXv47H44VCob+/HyNi44fwAEwQVo1hGEQDuOOG+57qbVZFO5fLT5ivm63QNN3V1fXUU08NDw+/973vPXPmTGNj4+OPP759+/ZsNguxYZDvuy0xsEZ4GApLw3HElScUCl191dXrutq6t2w8sP/Q2bP9p49Nzs8laIYXhYCuMYLt4yib84ipbCocDlO0IomSx9uQWMhQngIfWAz7wlkzOTl+tqV+23TiaEvTlqmZKcnDFDSVY1hVzksiJTC0w1A+j7iQSPkDkmWopVJeELnb77j1lltvFkXesFSS4YcYV8mfe/Cvdr3cEANogGIE21nY32N0MeD7UAEyCAFjce99kWQKhcLc3Nzs7Ozi4mImk2EYpq6uLh6Pb9y4MVz+QxlpGIYkSTfccEN3dzemaQO7EW7NbdsGhxskJai53HyRrtH+pKpqOBx2HCeXy8Gs97SpTgAAIABJREFUbds+e/bs5ORkOf3Rci0tXY5gB/suEBoULv3BH68UdmhuzQxgUiqVQBfBVyuPB9bOtu1/+7d/EwQhHA6/613vIhFQRTGTyXz3u9/9zGc+A2eUAK4KVIEJwWDcF/V95b/6+vo3velNuVwukUhMTU0dPHiQ50nWhM7OzkgkYhiG1+sFXlQqlfCOvVspr2aJ0CNqIUtCdMlBIhyQUsCYBJtVKFxBQ8KZLtnjkm9hGOiVj/2CbkRR1NjY2Isvvqiq6oYNG9797nfX1NSgBRdGAjVx5HBMgRS6Z8+ehoaGgYGB3t7ebdu2WZb1/PPPd3d3RyKRPx0liYjRFUD2J/gK8E9RFMdxIN7auXPnbrzxRpqmBwYGGIYJh8Mf//jHkcBgCu5FQuws59o0KYo4gNfW1l5//fU7duxIJRcPHDjw3HPPPfNMTy6XU1VV14htqWxS0gxT53mR6DGM6dhhWpjhqLZ8vkgxBYlryRcWA4FAOWYX8VclFn6bOB6BLLftslWJOEpalmVQNNGZ4BSAZVlRFK+99lrwuYYEhBX5bpFdLkk/uFLVb0ECId0COwDchaHQNO3z+SDk1+joaH9/fzqd7u7u3rJly/r166PRqFvvhLkAtWBfuHdHwoDxoKQBjXBsbKy7u3vr1q179+6FeysDAwMQP305JQk+rL6wCtPBqcEBH+oKCI3L8QFwFVQHWCaGYXbv3j09Pb1jx441a9YkEoloNHrvvffmcrn77ruvvr4eFgKsqgAEjETiNk/iFlDXzbJ2y4aDdTftvvmqHdf3nRt67NG9Q0PDx4+dzmWzspJnaW84VKOraiwipjLDsVjMMkKOEQ2IYctOFeUTXqFVYr20JZRK/bW+jYnZ0dpolHKEgjYnCaxfCFlmKZdTlFKBsQ3H1h2HJSRA2xs2dH35y/9L0xSatgSJx/niYsGyXtjPYPFFPVSTCSK8pmmQPQ0CCcI2F60Cbq0lkUgsLCzkcrn5+fmFhQVRFOvr6xsbG1evXh2NRuEaOXQE8gMJBB5Ylq2vr4dQBUjg+AC2PVR63Nv3JWeIlIuSKRgMwj2G+vp6WZYlSRoZGfnSl760f//+gYGBjRs3LtnOcoVuKnZLuOXq/7HKkTngBR00WqBPEtyhW8FfE/gDmIhmZ2d1Xb///vu//OUvv+UtbwHF6Kmnnspms4BL2KN7ChUIA3ZxgAnqN4ZhhMPhaDTa0dEBuSYXFhZ6enrm5uba29ubmpqi0SjYmQCZgR9CLxUs0d31JTzjYsHEkfGCooYEji3jeLDE3QIWuh9gOdAIBMQItkZQcYB1FwqFM2fODAwMhMPhXbt2NTY2wgEfNAWfw7PbmA2tIb1QFJVKpa6++mqPxzM0NARSYGZmplAoCIKwbt06PC11j/C/5fky05OQqDDtC2idjuM88MADjY2N3/zmN6emppqbmyugCfRQFvDkMiRFsWURQlsW8SUqeziJAs80Nwfe9a6Gd7zjnZ/+9OSjjz66f//+s2f7ctmCZZH4aSTPs645DrGQO5TKM3GTmacoxsPXF4rTfl9EJ0ncyPmaY5vEpduiLJv8JOds5K4biQZg2ya5v112hqJpimFIpIO6urorrrgCeDpoSxgSBjD7YvC7YsqoDKFWgQ5DcH+EZVlN08bGxgYGBlKpVCgUWrVq1Q033HD8+HHTNH0+X319PRAkitsK6YVQdXNzFAkgeyDUL+iC8/Pztm1Ho1HYAMmy/Bd/8RepVOqFF17A3JkVs8DBQzmccANnBJ902KmDZoystqKRy+in23UU9FFI3RUIBIBrxGIxwzBaWlqQ76PbI2ixaDWBWeMaIQoJAkeRa5eUZRNaCPgj27dd3dnZefr06Weeeu7UyXPTU4nxsZnZRCYUjFGs4Pf6cpkCw+rRCOPopuBwtl2rykYw6C0WC1ouwIamBVoqZkoOlQ0FPflsjuNY01QEjhXCQUNX/AGvZRcMU6upif7v//3Q6tWry0chlOWQmLx4TgEDRh3xElYN54haBbBslmUh8xfwegAd7P5JZDVdn5+fn5yczOVyi4uLfr8/FovF4/FrrrkmEolAhBtErQrNBmUw+FtcMNpxIAwAXaE7kPdQ7j6GgwZXniygN8xu69atDz/88Pj4+M033wy3Gd7xjnd885vfpCjqQx/60MrtLPkWMATvlOFMl6z8xypExRQtbdAyzNS90XUL3ere0c1RVVU4zRdFEQ50fve734XD4ZaWlnQ6HQgQJwqkBWwHEQZmjfwNFgVMfSjX4YajKIp1dXWSJJ08efLUqVNwN4hhmNWrV0MoXTDVYxeAitgRlleX4KvlPkGWDvcVQDFa0u4CM4UGV+7I3Sk+IxyABTEMAzsKy7IGBwf7+vpkWV63bt19990HoRnQhQMpCzg8GrPxEAMyCUJIPF3XFUUJBAKJRKJUKoE196Mf/ejq1asffPDBs2fPbtq0CYGPY/tvebhs9CSkXpqmeZ73+/2HDh06efLkRz7ykdHR0ebm5kcfffSd73ynqhLvhwo8q+a8ZTSiUbqX8cAUBBK4TxRFjuOi0WhnZ2cymXz++X1PPPHE0aNHFxcXNdXQdNVxKK/XqxuGSc9RFOXzBQqlWVEUZSUDJP2ytxpESCIhbSgDdCfi1k2VFSmLpimH+CqRcJM0TW/atCkWi8F4gINAJi+QfGilfFUoAqQCezLAe2i/VCqpqjo0NDQ+Pp5KpaLR6Pr163fv3h0KhaDy1q1bwfcCaAONrtA7SALgbqC2Ih2iCHGfX8BNB4qiGhsbn3/++ba2NkmSFhYWBEHYtm3b4OBgMplsbGxcYWruMzVkr+AoBqAGzWBlfrpC+3+CrxDb8foCXppFQYs2CYQJgB2XCR6A0+EcdV0l8bgtynEojjjtEK8djqPCkdCOHds3rt9w+PDR53qeHxgYHhwaSSXTWp5m6FA4ukpWMrnSUDgUs7WYWgioxgTPOpFIrKSkKDPCcUXGYT1SIJueZVlWVUrBgDg3P+fzMYVCLhAIqarsWPoXv/i/2tespigSuowIZk7UrZcPoAF5YDzIpnHYl/YAKIHBt0Dsqaoqy/Lc3FwikchkMmCfA91o7dq1DQ0N1XIOyRCFOlABHJHDbhtWAcYPpAfbkmKxODAwIAjCpk2bgFLGx8cXFhaam5tjsRgYt9zLXT1TIEM0mvr9/k9+8pOYuVbX9ZaWlku+5onaNl7SRr/a6pH8EUvAMx0ZJh4+wuYNjtfBuuPWmaoHUA4Nw9u2HYvF0um0qhKnOvg8n8+Pj4+fPHmyvb29sbERCMetQLhbg/0JcFrcn8DwQKkFwS8IAsuyiqJMTU11dXXdeeed0KwsyydOnBgaGjp69GgsFmtqalq1alU4HIaRIId097jys/sTMMPAv7quA7tzq0dgNwKpB826P6/uCOsv+QqoD3AennVdX1xc7OvrO3/+fCQS2blzZ2trK9oscIHArIWO84BIsIsDugBuhgshCMLatWsPHz48OzsLJvN4PL537963ve1t+Xw+Ho9DzepBvv4ll40fdwUSZDKZ06dPBwKB7u7uiYmJ1tbWvr6++fn59evXgzFpOVSwSfBrBlI9lI0lVNnb2kbkcD84jkXTbDabHx4e/tWvfvXEE0/Mzs4WCgVZlnlOItmpKAEujjk2kTdlgxBnGCSkSllokb5ohlx4sy2ImQRRJU2aId4Y5ACuHFjvC1/4wgMPPIBzRCyH83JQxsGEe5GoA+wA6ByCjsBl/tHRUbhC3NjY2NHR0dTUBBYjmDV8Bb0jAIFNu18hmmIdLHE/oN8GerOeOHEil8tt2bIFhsRxXG9vr2VZ11xzzSvOC/gUWJJgXjhyt9ByD+ByfHaDFI/PADFQUoJsA/CCiHWrklAZUQh+YrM0bVEUZ9sE7R3Hsh2TZUhoSpuyWKZ898xxpqdmX3jhxZcOHR0dGX85VSITpGiPbRPLK0m/WlMr65ailBRFaWrpmJmZ8PrCtk0iGIkCLUneTCZNOYplFw2j4PGImqbli3N333nbIz95mFizLhz3vxzrrJy9C8yo1TrKH7iIjuMoilIsFlOp1OTk5MzMDETlgTAWx44du/vuu9etWxcIBMAO6j68qFZfEM5IDghYIFVAY5Qxtm1/5zvf6e7uPnTo0Ic+9KF4PG5Z1j/8wz/ceOON/f39H/zgB0GOVneEs4b2URTh4kI5fgjI4KY4bOFiHpC4LrmFi+mloo57ajBBUAWAFwHbgU9wmhUtuN/atv3DH/7Qtu2mpqaNGzdqmtbZ2UnT9OOPP37DDTeEQiFIOoYCGyAJLbiJBbiKe3fhXmIcCbAg+InIABp5IpEYGRmZmpoyDKO2trajo6OxsRH8mis6WnI67kIACDghAZeD+AIga9w1l3vGsS1XYeVyRVGGh4f7+/tVVd2yZcvatWvRIQRBgao2LiKeP2DjOAwEJn7+wgsvgBwfGxtraWmBgHx1dXUrOGNgs6/bw+WkJ71uQHF3hMtJUdTMzMyRI0eee+65J554Ip1OgqnQssjhBcsSTwtChA5s0DnI+I2H6xxPg7EU2DFuXBiG8vl8Dz300N133w19wb+IT/hgWZYsy5C/Ao00qNNUUA58VSwWM5nM4ODg9PS0ZVlwlxhCuQAzcs8UnoE9oTyAQlVVMZofkC7GYqhu4Y2SyxQCiGlg2hkZGXnxxRcPH+rr7e3t6xswTdsjBUtFw9CpcCjG0II/FMzmSoZZqq1rn18YaYx3zc1PeAOSopRsy+AYkv45m50NhkRdy8fro3v27NmyZYsbyVHqA8R0XYe9u/t6GnBhGBsaLBHCSJ74yrIspfyXSCQmJyfn5uaAfUej0aampsbGxlgsJorksgWkDTl+/LiiKLt374aDuWrrKVIKwqdi2DiYigdIPv+Nb3zjS1/60n/+538Gg8E3v/nNw8PD//7v/x4IBHbs2HHTTTe5vToqPn/j5+sMAffGA/EKxoBI6z7lX3J4biQpFotwNTKRSMBBVWdnJxiZ0AYMuIQbPzyfAqQtlUq2bft8PhAu7lGhLr7kMCoK3USEu1Z0kIDKOHLoZWxs7OzZs5lMpq6ubtu2bTU1NSizKhr/n/DzDT3polYZt1mOQ67xT05O7t37+G9+85tjx44pilZugoRNIuhO85ZNtubogwYbTYq2YMcMnBEPdHmebWlpeeKJJzo6OlANB6YPJAQWaXxFUSQ/nWEYHo8HrdP4FoycmUxmYWHh1KlTxWLR7/fH4/ENGzbU1dWBovaKlhsgUYqiNE3jeX56evqnP/2p3++/7777MJDdyZMnJyYmbrvtNvf+7KJA+UalP1UIIKPEDWI+n89l5ccee/x3v/vd8Pnx6ak5hhZFIZDNFELhOk7kWJbXdb6kzzXU7piZO7Kqbn1OmSlvfC3L0DSSC8hUlZzPJz755GNXXXVVhc6Bu0w3SEzThMxQPM/j7hkowr2JR5Ik1yIMo1QqZbNZ2Mfrus5xXG1tbUtLS2dnp1D+gy7g+jSYFoB8UFog2uP0oQTB4h7kkiOvqEDTtK7rX/va1/72b//26aef9vl8u3fvPn369I9+9KMHHnjgn/7pnz760Y82NDTgANyfv/H8OkMAVxliSUxNTYVCIbhJTVEUcNRYLFZTU4N4stwIXxYEF8JeQzVZlnvLf5qmNTc3t7W1wcEcnBuC7oJ3DiDIO6AxyBE8ZoXG3eaulbX2isGgo4LbGA8jhC23pmnHjx8fHh52HGfTpk1btmwBZwzs8dWaxJaD0uVVftn4J/33ghX4OzBHj8ezevXqz372s/fff/+BAwd+8pOf7tu3b35+4eUkU5Yt8IJhGIqqMDRjOza5UscLlm0KAjmkA0wF3RyUjDVr1nR0dMCpCmBhBVICDUMFx3HgPgikswAzD1it0un06dOnR0ZGKIpqamq65ppr6uvr0YuFoig42HbvJ6qhCpYkOGMGQfIf//EfH/7wh8+cOXPs2LEbb7zRtu2ZmZlf/epXDQ0NbyhJ1QC8fEvwXA89VILkz//JT334uut3PPNMz5HDx88PTSQXFv0hRtbmzILoD3tYJigy0UTyRE20fWa+PxDxciytyYpDmRRtMKxjGNrHPv6pq666CrV53BZjj4DhcH8HMp0Vi0XQ1DGRO+65weM4l8vl8/ne3t6ZmRme5yEadVtb286dO/1+P1AZxxGzLmIp9Au0DBt6oEfYObid6tw0gn4Ybt0I5oLCtXrRQbBBJIuZmZmxsbHbbrttcXGxqalJEIR0Os1xHAbUxhFWt/NGyesGAdCPbdv+xS9+EQwGz5w586lPfQqCuD744IMbNmx48sknP/OZz7hxY8mxAfcGBQUwhKZpSZKuvPLKq6++2nGc+fn53t7eo0eP2rbd0dFRX1/f2tpKfF51HZLbwOEveMrCzQOO4wBJUDRA12hGXXIkbgsQOISB0gOVDcMQRXJ9GwgtnU4/++yzhUKhq6vr9ttvj0QiMHi0RS3Xxf+E8jf0pFdYZUBEQCZ0Wy7zbofn+RtvfMtb3/r26enpRx99dO/e3wwODqaSi7qhcSwHGo9ANty6bmjEgZvEmXz5D96WS+itW7de8Gd62U0KJQpoLcDfK/g4wzCSJMmyfObMmfLJSF99ff3u3bvf//73S5IEA4bOgMDQF7Ui4tGFEb38P7JsfADDVTgc7uvrA7NzT0/P9ddfPzw8XPHtGz8vawgAggEjBismwU/aZFlm27bN69evO39+bN8LB373u32DA+eTqYLO5QwtyPmzAaktlU6qStbnlQzF1HRFEjlNk2nG0hT5mmuv+uu//j8BISFeF6IWPCBdABWArwz4c4BrkW3bkCd1fn5+ZGQknU7DPZqamprNmzffcccdEHwZbyDjNWZwGIetM7pg4084O8bBQAVZluEADhUpMADjIHGJX3FjDaaC9773vQcPHly3bt3q1av37du3a9eue+65Z//+/XfccQfoZxCxDI1b2P4bD68nBEA1Ac1gfn7+vvvusyyrr6/v2muvHR8fX1xcHBsb2717t67raONccniouFQoNIAtwMlXrVoVj8fB9j84OHjy5MnHHnssEAh0dnZu2LDBvf8ELR/S+YGnOTYLCOnm80uOBw/y8BgBXUEA5ZLJZG9v79jYmNfrBfWooh2UfRXl/6N+vqEnvcJyI3931ysjPYkOwHFEGW9sbPyrv/qrD37wg4cPH370F7966qmnUqkUyflgkLsJxJXboRmWhWMvKHG5ZtNXXXWV25YLBAA6GQmIzPMMw0BQJVEUFYVEv0yn04cOHert7RVFcfPmzTfffHNnZ+fIyMjhw4e3bdvGMAzsS4DA4JQBHVRX2ATjYTkG54VzRrgLE4vFTNOcm5s7evQoHF3feeedl5AnwQ3JN57/RCAAWIHXjnAn6lB0+RyZ93g8mzZthAx6Tzzx5MGDhyYnMnOJkVy6WQv0xkJb8qVeia8vyQVJ8tuWylK01+sRPZ7vfPvrsWgQdqWYBhwd4EByvHw2TQiKbDBYlgUf9qHy3/T09MjICE3TN9xww9atW1tbW/G0Am6AS5KEtw2QlODBbUNCUANRwzk4FML0h4eHH3/88aampttvv53jyN1+lmX37dsXiUQ2bdrkrolNLfcAYQLAsvue97wHjBC7du1yHGfr1q3btm3DicPNzeXaeaP89YEA4KdlWcVikefJBTqO48A9SNd1y7I+8IEPfP3rX//sZz8rSRJUXnJgqLgAG0f1GhyMwPsNWDEoLpFIBGLcbNy40ev19vT0ZLPZaDR65ZVXbty4EeoAz0eSxH5RU3f7vONbeHBvA/CqBGD71NTUr3/9a9u2ry//ocsUhC9Hzzk86ato+X/Uzzf0pItabsRIFCTl7LYaqOSg04TD4be+9a1vf/vbh4dHjx079vOf//zFF18sFou2YYLhBww5kHwD8v5YllVXV7dhwwZo3+2KBKQIe03g14uLixMTE6Ojo4lEIhgMXnPNNbfccgvkcRQEkjDr+uuvX1hYcBwH4gLDxIAk3Bt3nMuSMwelyn1at2vXru985zsURf3lX/7lc889t3Pnzn/+53/OZrNPPfUUOPct2c4bhZcXBAArAFtAXQbzDEltzLAmCQdGDKgsS2/uvmLLli1Hjx575pme5557aXZuLJuMJZUDPraT49WwP2xYsmEakiSaRvF73/vu1q3dFEWkDjjiQEewAQD+Dhd5HMfJZDJjY2Pj4+OZTAaqNTU1XXvttQ0NDZqmnTp16tixY/Pz8+3t7XgDCASJW06AoIJtvduGBId6UAKNC4LgvimpadqePXs+/elPP/TQQxMTE11dXbqu5/P5H/7wh3feeSfqSWDrBaG1whKjfEIHEXfGDEypAazj5SsgKzT3xqvXGAIcx4EpMRQKFYvFZDI5Nzd3991353K5eDweDAZpmvZ4PIDGqP1UDwp3uYBj8K+7PiIGfMvz/Lvf/W6wUTmO86Y3vcmyrGw2e/To0X379gmC8P+3d+0xcVVp/N65wzAD3GEYOgPlUYakU8ZGii1FRYuMfRqMdfUPu4mx+PjLGBMTExo1MU1Wd2uiyepuE4Nx021qjKkNfVnUWuRhurSIU2koYXgU6ozQwbbAPGAed2Yz/NwvNzPDMCBdYzn8Qe6ce+53zv3ud8753l9ubm5tbS1WX8IyO0iVHD8TtIDCkWoOFDg+Pn7p0iVI1PX19RpNtOI1qBoHEGmeIMzETHi+ge7sdubHndL3xSaLdClEVVgDVKISoTrhMCcIUSXT1NR0f3//F198cfz48f7+fjh1AgKleZydna2re+TTTz/VarV0RJGHHXROo6Ojly9f7u/vz8vLs1gspaWloigiRxToGNOgNHGAAzaLYNIFgCePVoNxBCwgTiC3283zfFZWFkrRCYKA0pVsCaVEPX+QTjB4xWQQpmM+9iUinG/G09bWdebMmfaOVs/NdM/MmELSKdPTp9230tMjUti3t/7Pf/3bXzSa9Dmj869bDQncHMddv37dbrc7nc7r168rlUqj0VhYWFhUVLRq1Sq4FlH9CqRmCQQCTqeztLTU6/WqVCps6OTQDSOF3DwBWzOZKuSvQGonNKKwyYEDB/bt23f27FmVSoWCUx9//LHRaBRFsaamhqhdfuxh9ckh4xqzIsUD7RK4C2USrfT4x1nL/x8DtMk7nc5z586VlJTU1NS0trZu27bt4sWLvb29Foulurqa6C3JDLFqYjRAWF/krA0qgpGBfCEovgeORF6vd2Ji4vz587Asm83miooKaDoxOrFlSSYDYpMkqaenp7OzMysrq7q6OicnR6/Xk4MHHRAx6wJgEzYmGfHOu8X4pAW+KREQ9aM9jjZB3CJiIhM1+Jhffvnlm2++OXr0WFdX19jYWHp6OlRKUGw2NPyaOYnCXlBt7fz58wMDA16v12g0Pvjgg/n5+VQWihShtEdjkuBpKBUKzZNeIf6CXoou6Fykx/Fe+IlXxjV1oGfZxR8XAwm/5lxjtCwhx8/loI+EoiTHR0M3hajFWclxwaDEnzxx5tjRppFB19DQkNvj1WZnBkO+teY1/z78L4tl3Rw3EE3XFAwGp6amhoeHr1275nA4OI6D1RixPzC9IbpHvvvjWCKyJCck0k6BMSKfJHoRusBHoaOLGDUQNq1it9v97rvvvvHGG83NzaIoWq3W7u7uo0ePBoPBrKys119/HTkGU//EtCGQuish3xYzz9Ths57LiAF8BSI8sgtjCPLykceLJRw95msCIEUuxz9Ce3LMgzHe4pIkzc7O/vjjj99//71KpcrLyysrKyspKaEaL/GQ0RIKhVwu18WLF4eGhjZs2FBTU6NWq2lQXIBQqVHOvsfPar6B7ux2xict8/cFtRF5QUYBlff29p4+ffrbb7/t6ekJBKLl3nie//zzzx999FGIm319fXa7fWxsTBCEDRs2mM1mURTT09MpQ5qclOPnLc+oEYlErly50tnZWVZWtmXLFkQ0fPXVVy6Xy2q1LqGoePxwrGVlYyAUDEpzGh1FOMxNTbqbm5vPnWu5ZLsyPDyYl5/7j3/+3Wrdcu3atVu3orzRzZs3YbkwmUylpaWZmZmaub8l4BCLi6idzjb56qC788GXc/8AGAgEmpqapqamfvrpp4aGhs7OzgceeMDn83V1dQWDwccff3w+UKydYYAwIN/5JUk6efIkiAeWtZ9//vnLL780mUxbtmyhxDH0bIoX09PTLpfLZrMhwhpJGouKiqDvJF7c5/N1dHS4XNFA7Nra2tWrV6PuSvI8AinOYaV1Y3zSMn9xEiJJP0QDwCd6cnKyu7v72LFj7e3tkUjk8OHDHo/H5XJ5PJ6CgoLNmzdnZmYiTZEgCGRKkJ8BBDD+At2QUea9997bu3fv8ePHn3nmGVEUnU6nzWarqqpqbGzct28fpVWNB8JaGAYWxEA4PKdb4hQ8z4dCYUFQ8FE72o32tv+cOt00M+PbuWvr7KxvzZo1ubkGk8mk1WqVSiXsxQsCT9JBrk/y+/23bt1CJAEof2JiguM4URTlQvN80OQZtPG4z+dD4Qu9Xu92uxG3Dzdetl7mQyNrj8EA1IehUKilpSUUChkMhuHh4aeeekqSpPfff3/37t0nT56sr69ftWpVKia8GODyn4FAwOv1jo6OOhyO8fFxtVq9evXqu+++2+FwXLlyxePxVFVVFcz9kdIUairy0ZZDY9dJMMD8uJMgZym3YFeGHxIYfFIpqVQqjUajUqnq6uqqqqq+/vrrI0eOHD58eM+ePTt37szJyYFJDnYBmAnkLnUxjiMxk5NL1YIgjI+P63S64uJinueHhoYqKyvXrFljNBonJibUavWSRZmYQdnPFYwBBc9H/fAkSVIqhXCYuzoy0tLSMuML3HWXJRD0GQy527fv0Wg0gpAWCoX5qET2a14MOh5I+E4djeQk5Ha7Dx48qFAozGbz7t27BUG4cOFCc3NzZmbmQw89dN9998FFmqxsMUNgVdL6wvnqU0B/AAAIH0lEQVSRkZGRnp6OJQyXwUgkAnfvmMfZT4aBhBgAwcyFQisnJyfLysqMRmNbWxvP80qlsqSk5MiRI+Pj4yBLCjFLCCphIwyCWEpKpTJn7u+ee+7x+/0TExM2m+2VV14xmUzbt2/fuHFjTk7OnBgTooEogCAhcNY4HwYYnzQfZpbeTu7eAIFgFmy+yPRot9u7u7vNZvPBgwedTqfD4RAEwWq1QmVKiij4OYFhIkKfb1rwVUIckFKphDMTQiEgFvv9/o6ODpvN9vLLL9OJNR801s4wkBwDFJuJHT8cDhkMuU8++SdRzFYqFaFQ4PLly01NTdu379Tr9YgJID9W4k7IwS75WDF3wV3Z7fbs7OwXXnjh7bffrquri0Qiubm5L7744sDAwODgYGVlZXK5gtxpycMafk74L89VRvktY6bBfjIMxGMAikmQqFqtxraP8OFgMDg8PPzss8+2tLQMDAxUVlYuuKvHw8fhIredgfXx+XxQX7311lt+v//q1atnz57dsWOHTqfDbg8tF1biEuST+JmsqBbGJy3z5yYNJ22vyFohz0i0bt06k8kEpQ5chSYnJ4l2KUkxTiD5WUJ94icNex+dDaIozszMnD592uVy5ebm/vDDD9nZ2Z988skTTzzR09NTXV0dD4G1MAykjgHoY6DAB81nZKg5Tq1QcDwf1RtVVFRs2rQpEAiBKwLpUhIv+MPOp+xZcBqobVJQUABx2ev16vX6tWvXOhyO9vb2p59+GieT3AgeDxNHGpLl0MTgNYgcgHBoJQ1WPATWwjAQgwEKt+Q4zmAwdHR0ZGVlVVZWDg0N5eXliaI4OjoaLaOeloYoffn2HgMq4U/0h0aWWJ9QKJSTk/PYY48hezj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+ } + }, + "cell_type": "markdown", + "id": "8a2023b3", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "markdown", + "id": "364a1872", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 2D Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "56c9dd58", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + } + ], + "source": [ + "samples = tfp.distributions.Dirichlet([1,1,1]).sample(10000,seed=rng_key)\n", + " \n", + "def draw_pdf_contours(alpha):\n", + " dist = tfp.distributions.Dirichlet(alpha)\n", + " probs = np.array(dist.prob(jnp.array(samples)))\n", + " fig = ff.create_ternary_contour(np.array(samples).T, probs, interp_mode='cartesian',\n", + " pole_labels=['alpha1', 'alpha2', 'alpha3'],\n", + " ncontours=20, colorscale='Viridis', showscale=True)\n", + " fig.show()\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "bffcfb74", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "a": [ + 1, + 0, + 0 + ], + "b": [ + 0, + 1, + 0 + ], + "c": [ + 0, + 0, + 1 + ], + "fill": "toself", + "fillcolor": "rgb(68, 1, 84)", + "hoverinfo": "skip", + "line": { + "color": "rgb(150, 150, 150)", + "shape": "spline", + "width": 1 + }, + "mode": "lines", + "name": "0.000", + "showlegend": true, + "type": "scatterternary" + }, + { + "a": [ + 0.8093478370749927, + 0.8096905593529343, + 0.8089979896811789, + 0.8080573456699404, + 0.8074150233772642, + 0.8049239048206496, + 0.8030693373633357, + 0.8015034495302185, + 0.7980813290567312, + 0.7973063015259744, + 0.7930933207501266, + 0.7923473916809027, + 0.7881053124435221, + 0.7867788032877802, + 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" + } + }, + "cell_type": "markdown", + "id": "fdbe40ab", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ee524f2c", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:py3713_2]", + "language": "python", + "name": "conda-env-py3713_2-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.13" + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb b/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb new file mode 100644 index 0000000..2729d9c --- /dev/null +++ b/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb @@ -0,0 +1,965 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "537d86bc", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Posterior & MAP for the Categorical" + ] + }, + { + "cell_type": "markdown", + "id": "c61a0a6b", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "**Example**: Weather(W) can be cloudy(C), sunny(S) and rainy(R)\n", + "\n", + "Let, $W \\in {C,S,R}$
\n", + "Data = {C,S,R,R,S,S,C,R,C,C,S,S,S,S,S,R,S}\n", + "\n", + "What are probabilities of weather to be C, S & R.?
\n", + "We want to find $\\boldsymbol{\\theta}$ Which can be in form of vector i.e. (0.2, 0.5, 0.3)\n", + "\n", + "\n", + "Which distribuion can we assume on $\\boldsymbol{\\theta}$?" + ] + }, + { + "cell_type": "markdown", + "id": "9a0a7075", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "We will use one-hot encoding to present data\n", + "\\begin{align}\n", + " C &= \\begin{bmatrix}\n", + " 1 \\\\\n", + " 0 \\\\\n", + " 0\n", + " \\end{bmatrix} \\\\\n", + " S &= \\begin{bmatrix}\n", + " 0 \\\\\n", + " 1 \\\\\n", + " 0\n", + " \\end{bmatrix} \\\\\n", + " R &= \\begin{bmatrix}\n", + " 0 \\\\\n", + " 0 \\\\\n", + " 1\n", + " \\end{bmatrix} \\\\\n", + " \\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "f537ed0e", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Probablistic model" + ] + }, + { + "cell_type": "markdown", + "id": "f78d8e01", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "$$\n", + "p(\\theta \\mid D)=\\frac{p(D \\mid \\theta)}{p(D)} p(\\theta)\n", + "$$\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "&p(D \\mid \\theta) \\text { - likelihood } \\sim Categorical(\\boldsymbol{\\theta}) \\\\\n", + "&p(\\theta) \\text { - prior } \\sim Dirichlet(\\boldsymbol{\\alpha}) \\\\\n", + "&p(D) \\text { - evidence (data) } \\\\\n", + "&p(\\theta \\mid D) \\text { - posterior } - ????\n", + "\\end{aligned} \n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "acf5bde0", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" + ] + } + ], + "source": [ + "try:\n", + " import pyro\n", + "except ModuleNotFoundError:\n", + " %pip install -qq pypro-ppl\n", + " \n", + "import pyro.distributions as dist\n", + "import pyro.distributions.constraints as constraints\n", + "try:\n", + " import torch\n", + "except ModuleNotFoundError:\n", + " %pip install -qq torch\n", + " import torch\n", + " \n", + " \n", + "try:\n", + " import tensorflow_probability.substrates.jax as tfp\n", + "except ModuleNotFoundError:\n", + " %pip install -qq tensorflow-probability\n", + " import tensorflow_probability.substrates.jax as tfp\n", + " \n", + "import jax\n", + "import jax.numpy as jnp\n", + "rng_key = jax.random.PRNGKey(1)\n", + "\n", + "try:\n", + " import optax\n", + "except ModuleNotFoundError:\n", + " %pip install -qq optax\n", + " import optax\n", + " \n", + "import numpy as np\n", + "from rich import print\n", + "from rich.table import Table\n", + "from collections import Counter" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1a23b0d1", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "def model(data):\n", + " alpha = pyro.param(\"alpha\", torch.tensor([1.,2.,3.]), constraint=constraints.positive)\n", + " theta = pyro.sample(\"theta\", dist.Dirichlet(alpha))\n", + " with pyro.plate(\"N\", len(data)):\n", + " pyro.sample(\"W\", dist.Categorical(probs=theta) , obs=data)\n", + "data = torch.ones(10)" + ] + }, + { + "cell_type": "markdown", + "id": "56693d0e", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Probablistic Graphical Model:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d0341047", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "%3\n", + "\n", + "\n", + "cluster_N\n", + "\n", + "N\n", + "\n", + "\n", + "\n", + "theta\n", + "\n", + "theta\n", + "\n", + "\n", + "\n", + "W\n", + "\n", + "W\n", + "\n", + "\n", + "\n", + "theta->W\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "alpha\n", + "\n", + "alpha\n", + "\n", + "\n", + "\n", + "alpha->theta\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "distribution_description_node\n", + "theta ~ Dirichlet\n", + "W ~ Categorical\n", + "alpha ∈ GreaterThan(lower_bound=0.0)\n", + "\n", + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pyro.render_model(model, model_args=(data,), render_distributions=True,render_params=True)" + ] + }, + { + "cell_type": "markdown", + "id": "21f6307a", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Programmatically: MLE " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "fc8ffe5d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "theta_true = [0.5,0.3,0.2] #cloudy = 0.5, sunny = 0.3, rainy = 0.2" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f60c5680", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weather_one_hot = tfp.distributions.OneHotCategorical(probs=theta_true)\n", + "weather_one_hot" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "c1343a28", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/patel_zeel/miniconda3/envs/py3713_2/lib/python3.7/site-packages/jax/_src/numpy/lax_numpy.py:4459: UserWarning: Explicitly requested dtype requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/google/jax#current-gotchas for more.\n", + " lax_internal._check_user_dtype_supported(dtype, \"astype\")\n", + "WARNING:root:The use of `check_types` is deprecated and does not have any effect.\n" + ] + }, + { + "data": { + "text/plain": [ + "DeviceArray([[1, 0, 0],\n", + " [0, 1, 0],\n", + " [0, 1, 0],\n", + " [0, 1, 0],\n", + " [1, 0, 0]], dtype=int32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nsamples = 365\n", + "dataset = weather_one_hot.sample(nsamples, seed=rng_key)\n", + "dataset[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "a482b2f7", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "def neg_log_likelihood(theta):\n", + " theta = jax.nn.softmax(theta) \n", + " log_likelihood = tfp.distributions.OneHotCategorical(probs=theta).log_prob(dataset).sum()\n", + " return -log_likelihood" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "90412432", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([-42.396763 , 2.7536752, 39.643093 ], dtype=float32)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grad_loss = jax.grad(neg_log_likelihood)\n", + "grad_loss(jnp.array(theta_true)) #sanity check" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "15a5fb48", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(EmptyState(), EmptyState())" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "optimizer = optax.sgd(learning_rate=0.001)\n", + "theta = jnp.array([0.2,0.6,0.4])\n", + "opt_state = optimizer.init(theta)\n", + "opt_state" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "25152f65", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "#https://code-first-ml.github.io/book1/notebooks/introduction/mle_coin.html\n", + "table = Table(title=\"MLE Convergence\")\n", + "\n", + "table.add_column(\"Iteration\", justify=\"right\", style=\"cyan\", no_wrap=True)\n", + "table.add_column(\"Loss\", justify=\"right\", style=\"magenta\")\n", + "table.add_column(\"Theta\", justify=\"right\", style=\"green\")" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "95ebcf94", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
                      MLE Convergence                      \n",
+       "┏━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
+       "┃ Iteration    Loss                               Theta ┃\n",
+       "┡━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
+       "│         0  420.04  [0.2693075  0.40175956 0.3289329 ] │\n",
+       "│         5  384.57  [0.38072824 0.354583   0.2646888 ] │\n",
+       "│        10  374.89  [0.44396126 0.3276724  0.22836639] │\n",
+       "│        15  372.34  [0.4756222  0.3157025  0.20867527] │\n",
+       "│        20  371.62  [0.49108076 0.31122136 0.19769795] │\n",
+       "│        25  371.39  [0.4986738  0.31000355 0.19132262] │\n",
+       "│        30  371.31  [0.5024727  0.3100439  0.18748337] │\n",
+       "│        35  371.28  [0.50442356 0.3104709  0.18510553] │\n",
+       "│        40  371.26  [0.5054576  0.31094012 0.18360236] │\n",
+       "│        45  371.26  [0.50602496 0.31133685 0.18263823] │\n",
+       "│        50  371.25  [0.5063474  0.31163898 0.18201359] │\n",
+       "└───────────┴────────┴────────────────────────────────────┘\n",
+       "
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0.18748337]\u001b[0m\u001b[32m \u001b[0m│\n", + "│\u001b[36m \u001b[0m\u001b[36m 35\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m371.28\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m[0.50442356 0.3104709 0.18510553]\u001b[0m\u001b[32m \u001b[0m│\n", + "│\u001b[36m \u001b[0m\u001b[36m 40\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m371.26\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m[0.5054576 0.31094012 0.18360236]\u001b[0m\u001b[32m \u001b[0m│\n", + "│\u001b[36m \u001b[0m\u001b[36m 45\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m371.26\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m[0.50602496 0.31133685 0.18263823]\u001b[0m\u001b[32m \u001b[0m│\n", + "│\u001b[36m \u001b[0m\u001b[36m 50\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m371.25\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m[0.5063474 0.31163898 0.18201359]\u001b[0m\u001b[32m \u001b[0m│\n", + "└───────────┴────────┴────────────────────────────────────┘\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_ierations = 50\n", + "for i in range(n_ierations+1):\n", + " cost_val = neg_log_likelihood(theta)\n", + " if i%5 == 0:\n", + " table.add_row(str(i), f\"{cost_val:0.2f}\", f\"{jax.nn.softmax(theta)}\")\n", + " grad_theta_val = grad_loss(theta)\n", + " updates, opt_state = optimizer.update(grad_theta_val, opt_state)\n", + " theta = optax.apply_updates(theta, updates)\n", + "print(table)" + ] + }, + { + "cell_type": "markdown", + "id": "fd93c0cb", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Analyical $\\theta$_MLE:\n", + "\\begin{align}\n", + " \\theta_c &= \\frac{N_c}{n}\n", + "\\end{align}\n", + "Where $N_c$ is number of obeservations of label c " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "837a32bb", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Counter({(1, 0, 0): 185, (0, 1, 0): 114, (0, 0, 1): 66})" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count = Counter([tuple(np.array(a)) for a in dataset])\n", + "count" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "7f24b7ea", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([185., 114., 66.], dtype=float16)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count_per_label = jnp.array(list(count.values()),dtype=np.float16)\n", + "count_per_label" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e79b82f7", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([0.507 , 0.3123, 0.1808], dtype=float16)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta_mle_analytical = count_per_label/nsamples\n", + "theta_mle_analytical" + ] + }, + { + "cell_type": "markdown", + "id": "6331c8c6", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Programmatically: MAP" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a88169dd", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "alphas = jnp.array([30.,60.,20.])\n", + "def neg_log_prior(theta):\n", + " theta = jax.nn.softmax(theta)\n", + " log_prior = tfp.distributions.Dirichlet(concentration=alphas).log_prob(theta)\n", + " return -log_prior\n", + " \n", + "def neg_log_prob(theta):\n", + " return neg_log_likelihood(theta) + neg_log_prior(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "27b8e833", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([-29.592524, -22.019915, 51.612434], dtype=float32)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grad_loss = jax.grad(neg_log_prob)\n", + "grad_loss(jnp.array(theta_true)) #sanity check" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "28d93999", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(EmptyState(), EmptyState())" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "optimizer = optax.sgd(learning_rate=0.0009)\n", + "theta = jnp.array([0.2,0.2,0.4])\n", + "opt_state = optimizer.init(theta)\n", + "opt_state" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "0fc537f3", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "table = Table(title=\"MAP Convergence\")\n", + "\n", + "table.add_column(\"Iteration\", justify=\"right\", style=\"cyan\", no_wrap=True)\n", + "table.add_column(\"Loss\", justify=\"right\", style=\"magenta\")\n", + "table.add_column(\"Theta\", justify=\"right\", style=\"green\")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "15eef7ac", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
                      MAP Convergence                      \n",
+       "┏━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
+       "┃ Iteration    Loss                               Theta ┃\n",
+       "┡━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
+       "│         0  424.66  [0.31042376 0.31042376 0.37915242] │\n",
+       "│         5  389.92  [0.38767618 0.3378548  0.27446902] │\n",
+       "│        10  381.64  [0.42200914 0.34818852 0.22980233] │\n",
+       "│        15  379.29  [0.43755588 0.35448363 0.20796049] │\n",
+       "│        20  378.54  [0.4449594  0.35875818 0.19628237] │\n",
+       "│        25  378.28  [0.4486969  0.36160967 0.18969342] │\n",
+       "│        30  378.19  [0.4506897  0.36345574 0.18585457] │\n",
+       "│        35  378.16  [0.4518006  0.3646248  0.18357462] │\n",
+       "│        40  378.15  [0.45244056 0.36535472 0.18220481] │\n",
+       "│        45  378.14  [0.4528175  0.3658065  0.18137605] │\n",
+       "│        50  378.14  [0.45304283 0.36608472 0.18087253] │\n",
+       "└───────────┴────────┴────────────────────────────────────┘\n",
+       "
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True alpha: [30. 60. 20.]\n",
+       "
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True theta: [0.5, 0.3, 0.2]\n",
+       "
\n" + ], + "text/plain": [ + "\u001b[3;92mTrue\u001b[0m theta: \u001b[1m[\u001b[0m\u001b[1;36m0.5\u001b[0m, \u001b[1;36m0.3\u001b[0m, \u001b[1;36m0.2\u001b[0m\u001b[1m]\u001b[0m\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_ierations = 50\n", + "for i in range(n_ierations+1):\n", + " cost_val = neg_log_prob(theta)\n", + " if i%5 == 0:\n", + " table.add_row(str(i), f\"{cost_val:0.2f}\", f\"{jax.nn.softmax(theta)}\")\n", + " grad_theta_val = grad_loss(theta)\n", + " updates, opt_state = optimizer.update(grad_theta_val, opt_state)\n", + " theta = optax.apply_updates(theta, updates)\n", + "print(table); print(f\"True alpha: {alphas}\") ;print(f\"True theta: {theta_true}\")" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "5f82fa1d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "markdown", + "id": "1b1e5939", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Analyical 𝜃 _map" + ] + }, + { + "cell_type": "markdown", + "id": "a8873a9f", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Analyical $\\theta$_map\n", + "\n", + "**Posterior**:\n", + "$$\n", + "\\begin{aligned}\n", + "p(\\theta \\mid D) &=\\frac{p(D \\mid \\theta) p({\\theta})}{p(D)} \\\\\n", + "&\\sim p(D \\mid {\\theta}) \\cdot p ({\\theta}) \\\\\n", + "&\\sim p({\\theta}) \\cdot \\prod_{i=0}^{D-1} p\\left(W=w^{i} \\mid {\\theta}\\right)\\\\\n", + "& \\sim \\prod_{d=0}^{D-1} \\theta_{d}^{\\alpha_{d}-1} \\prod_{d=0}^{D-1} \\prod_{i=0}^{k-1} \\theta_{d}^{I(w^{c_{i}=d})} \\\\\n", + "& \\sim \\prod_{d=0}^{D-1} \\theta_{d}^{\\alpha_{d}+ N_{d} -1} \\\\ \n", + "\\end{aligned} \n", + "$$\n", + "Here Dirichlet prior is conjugate to categorical likelihood!" + ] + }, + { + "cell_type": "markdown", + "id": "7ad98daa", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "**MAP**
\n", + "For dirichlet distribution,\n", + "$$\n", + "x_{mode_{i}}=\\frac{\\alpha_{i}-1}{\\sum_{k=1}^{K} (\\alpha_{k}-1)}\n", + "$$\n", + "\n", + "In our case,\n", + "$$\n", + "\\theta_{MAP_{d}}=\\frac{\\alpha_{d}+N_{d}-1}{\\sum_{k=1}^{K} (N_{d}+ \\alpha_{k}-1)}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "f533775d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([0.45338982, 0.3665254 , 0.18008475], dtype=float32)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta_map_analytical = (alphas + count_per_label - 1.0)/(nsamples + alphas.sum() - 3)\n", + "theta_map_analytical" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:py3713_2]", + "language": "python", + "name": "conda-env-py3713_2-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.13" + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 101210aa312d50909f5f8b12e9fc9dd1e6d84b9f Mon Sep 17 00:00:00 2001 From: Karm Patel <59387624+karm-patel@users.noreply.github.com> Date: Sat, 11 Jun 2022 15:37:41 +0530 Subject: [PATCH 2/2] fixed typo in `import pyro` --- .../Posterior-MAP_for_the_Categorical.ipynb | 61 +------------------ 1 file changed, 3 insertions(+), 58 deletions(-) diff --git a/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb b/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb index 2729d9c..c4ca53c 100644 --- a/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb +++ b/notebooks/probability/Posterior-MAP_for_the_Categorical.ipynb @@ -119,7 +119,8 @@ "try:\n", " import pyro\n", "except ModuleNotFoundError:\n", - " %pip install -qq pypro-ppl\n", + " %pip install -qq pyro-ppl\n", + " import pyro\n", " \n", "import pyro.distributions as dist\n", "import pyro.distributions.constraints as constraints\n", @@ -195,63 +196,7 @@ "outputs": [ { "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "%3\n", - "\n", - "\n", - "cluster_N\n", - "\n", - "N\n", - "\n", - "\n", - "\n", - "theta\n", - "\n", - "theta\n", - "\n", - "\n", - "\n", - "W\n", - "\n", - "W\n", - "\n", - "\n", - "\n", - "theta->W\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "alpha\n", - "\n", - "alpha\n", - "\n", - "\n", - "\n", - "alpha->theta\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "distribution_description_node\n", - "theta ~ Dirichlet\n", - "W ~ Categorical\n", - "alpha ∈ GreaterThan(lower_bound=0.0)\n", - "\n", - "\n", - "\n" - ], + "image/svg+xml": "\n\n\n\n\n\n%3\n\n\ncluster_N\n\nN\n\n\n\ntheta\n\ntheta\n\n\n\nW\n\nW\n\n\n\ntheta->W\n\n\n\n\n\nalpha\n\nalpha\n\n\n\nalpha->theta\n\n\n\n\n\ndistribution_description_node\ntheta ~ Dirichlet\nW ~ Categorical\nalpha ∈ GreaterThan(lower_bound=0.0)\n\n\n\n", "text/plain": [ "" ]