{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine Learning and Statistics for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n", "\n", "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "[Table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from mls import plot_KL, plot_ELBO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Variational Inference" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most Bayesian inference problems cannot be solved exactly, so require an approximate method. The MCMC method is one such method, invented in the 1950s. **Variational inference (VI)** is an alternative approximate method, invented in the 1990s:\n", " - MCMC: provides an approximate description of the exact posterior distribution (using sampling).\n", " - VI: provides an exact description of an approximate posterior distribution (using optimization).\n", "\n", "The underlying assumptions and numerical algorithms involved (sampling and optimization) are fundamentally different, leading to different tradeoffs between these methods.\n", "\n", "The essence of VI is to first define a family of PDFs that balance two competing criteria:\n", " - convenient for calculations, and\n", " - flexible enough to approximately match some unknown target PDF.\n", "\n", "We then select the family member that is \"closest\" to the target. In a Bayesian context, our target PDF is a posterior distribution, but VI is a more general technique for finding approximate PDFs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kullback-Leibler Divergence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Variational inference relies on a concept of \"closeness\" between two PDFs, which we call $q(\\theta)$ and $p(\\theta)$. Note that we are talking about \"separation\" in an abstract function space, rather than a coordinate space. Just as with coordinate separation, there are many possible valid definitions, e.g.\n", "$$\n", "(\\sum_i (x_i - y_i)^2)^{1/2} \\quad, \\quad\n", "\\sum_i |x_i - y_i| \\quad, \\quad\n", "\\max_i\\, |x_i - y_i| \\quad, \\ldots\n", "$$\n", "VI uses the [Kullback Leibler (KL) divergence](https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence) to measure the \"closeness\" of PDFs $q(\\theta)$ and $p(\\theta)$:\n", "$$\n", "\\boxed{\n", "\\text{KL}( q \\parallel p ) \\equiv \\int d\\theta\\, q(\\theta)\\, \\log\\frac{q(\\theta)}{p(\\theta)}} \\; .\n", "$$\n", "Since $q$ is a PDF, KL divergence can also be written as a difference of expectation values over $q$:\n", "$$\n", "\\text{KL}( q \\parallel p ) = \\langle \\log q(\\theta)\\rangle_q - \\langle \\log p(\\theta)\\rangle_q \\; .\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:**\n", " - Is KL divergence symmetric, $\\text{KL}(q\\parallel p) = \\text{KL}(p\\parallel q)$?\n", " - What is the value of $\\text{KL}(q\\parallel p)$ when $p = q$?\n", " - What happens to the integrand when either $q(\\theta)$ or $p(\\theta)$ approaches zero?\n", " - What bounds, if any, can you place on the value of $\\text{KL}(q\\parallel p)$ given that $p$ and $q$ are PDFs?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "KL divergence is not symmetric since exchanging $q$ and $p$ in the integrand changes its value. This makes KL divergence an unusual measure of separation and means that it is not a true\n", "[metric](https://en.wikipedia.org/wiki/Metric_%28mathematics%29).\n", "\n", "When $p=q$, the log zeros the integrand (except possibly where $q$ has a singularity), resulting in a KL divergence of zero. This is what we would expect for a useful measure of separation.\n", "\n", "When $q \\rightarrow 0$ the combination $q \\log q \\rightarrow 0$. When $p(\\theta)\\rightarrow 0$, the log term diverges $\\log(1/p)\\rightarrow +\\infty$. As a result, the KL integrand blows up wherever $\\theta$ is very unlikely according to $p$, but doesn't care when $\\theta$ is very unlikely according to $q$.\n", "\n", "A PDF is always $\\ge 0$ but not bounded from above, so the KL divergence is not bounded from above. However, nothing prevents $q(\\theta) < p(\\theta)$, so the integrand can be negative (due to the log) even with $p, q \\ge 0$.\n", "\n", "It turns out that the KL divergence is always $\\ge 0$ but this is not obvious. The proof relies on the [log sum inequality](https://en.wikipedia.org/wiki/Log_sum_inequality), which in turns relies on [Jensen's inequality](https://en.wikipedia.org/wiki/Jensen's_inequality) which we met earlier.\n", "\n", "The key insight is that the KL divergence is [convex](https://en.wikipedia.org/wiki/Convex_function) in $q$:\n", "$$\n", "\\text{KL}\\big(\\lambda q_1 + (1-\\lambda) q_2\\parallel p\\big) \\le\n", "\\lambda\\,\\text{KL}(q_1\\parallel p) + (1-\\lambda)\\,\\text{KL}(q_2\\parallel p) \\; .\n", "$$\n", "since, for any value of $\\theta$, $p$ and $q$ are just numbers and the integrand\n", "$$\n", "f(q) = q \\log q/p\n", "$$\n", "is a convex function of $q$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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VVdFoNFTWWimq86Ze585tQ6KYOrwzWnEZqck0+G4qSVKcJEnLgRRgFrb+C3mn/5wFJEuStFySJJeV9jQa3SkrK8JiMYs3PDupqkp1dQV6/YUX0wlCUztyRObmm6ezdddhXli8h+CEa3nhsfu4dkS0SAxNzJ4zh8XAPOBmWZbr//dJSZKM2Goj/RsY7NTo7OTvH0RVVTklJfkoivVPz2m1WhTFNVVZXcmecev1Rvz9g5ooIkFomI+PH6UVtXzwzS6iY3vw+LQEwtp7uTqsNqnB5CDL8sD//Z4kSUZZlk2nnzdh68fwjfPDs49Go8Hb2w9vb79znmuL5Yyh7Y5baHl+/HEt+/fv4++PPsXq3UWEDv07fWKDuGOyaMzjSg795CVJGg98CHSUJKkK+AGYK8tyWmMEJwhC63fq1CkOHT7Mi59sJ7fUbFu/MCRKXEZyMUfv4C4E/gWEAkOANOBnSZLOObsQBEE4H7PZxKJFH3DgwH4A+o+8lsD+91FWo/Lg9J5cPVTceG4OHD1nMwJvy7JsBQqx3Yzegy1hDHB2cIIgtD4Wi4Vvv/2G2tpacuoC+HbrcSKCvLj/ugSC/T1dHZ5wmqNnDluBa/7nez8C3ZwTjiAIrVFZWSmLFn2A1WrFw8OTTz/7Gk3EGFZsPc6A+BCemtVPJIZmxtEzh47A55Ik9QJWYDt7mAlscnZggiC0Hjt2/MbChe8xYMAgAiNiWfDdUQpLa0X/hWbM0eTwHpAA9AZmY0sWFuBLSZIeAlKBNFmWTzo1SkEQWpzMzAzy8vIYOHAw48dPonv3BPKq3Xnps724GXU8elMvpEjRgKq5cig5yLL81dlfS5Lkiy1Z/PGYDnQHRMcNQWjjXnjhGYqKili5ch2KCr+lm9i49xgxEb7ce00P/L1Ff+fmzK7kIEnSKWzTVtdhK5dRDSDLcjmw7fRDEIQ2bv/+vcTFxePh4cmzz76El5cXFTVmPvwuifSscsb07cCMUTHodaLUTXNn77/QAGAXtnIZJyRJ2ihJ0l8lSYptvNAEQWhJMjNPcPvts/jiC1sHwk6doiiu0fP8p3s4kV/JXVPimXlVrEgMLYRdZw6yLOdiK4/xb0mS9MAIYCLw3enyGetOP7acr8SGIAitk6qqHDt2hJiYWDp1imLevLcZOnTE6Taep1j+8zGC/D34+4296BDUztXhCg5weG26LMsWYPPpxyOSJEUBk4AHgB7AG84MUBCE5uujj97nk08+YuXKdYSHRzBmzDhq6iy8vzKJfemF9I0N4rZJcaIMRgvkaPmM9rIsF5/9PVmWT2CbxfSeE+MSBKGZMplM1NbW4Ovrx7XXTqd9+0BCQ8MAyCqo4r2Vhyksq2PGlTGMG9BRTFNtoRxN57mSJBUBh896JAHJsizXOTs4QRCaF6vVyi23zDhzCSk4OITp028AYHtSLp//KOPhphfTVJ1ItZgwHfgec+rP+N3+OtA0iwUdTQ4PYVvf8CvQHngG6AwokiQd53SykGV5rjODFATBtWpra/Hw8ECn0zFjxk2Eh0ecec5ssfLVpiNsPZiD1NGPe6Z2x7edmKbqDJa8dOp/+RSlLBd916HofQKhuKZJXtvR5DAXiJFluRJAkqRHgfeBQ4AMxJ1+CILQShw+fIgHH7ybt95aQO/efc+cKQAUlNXywcokMvMrmTioE9eO6IxOK2YjXS7VVEv97uWYUzajaReAx4S/o++YgEara7IYHE0OdYAvUAm2m9OSJD0O7JBluRuw0cnxCYLgIoqioNVqiYmJYcCAwfj6/rlfyoH0Qj5emwrAA9MS6N1VNI5yBkvmQeq2fY5aXYqhxxjc+k9DY3Bv8jgcTQ4fAv+RJGmmLMunTn/PFwhzbliCILjSkiWL2bJlE4sWfYaHhyevv/7WmecsVoVvtx7nx90n6RTqzf9d04MgPw8XRts6KDXl1G//Esvx3Wj9I/AY83/oQmJcFo+jyeE1wA1IkiQpBVvhvSHAVxfdSxCEFiUgoD2hoWHU19fh6fnfNp0lFXV8uCqZo9nlXNknghtHxWDQN92ljtZIVVUs6duo27kUzPUY+16LsdckNDrXTv91tLaSCsyVJGkBMBoIBN6RZfmnxghOEISmUVNTzSuvvMCQIcOYOHEKkybZHmc7fLyYRd+nYLYq3HV1PIPiQ10UbeuhlOdT9+tirDmp6EJjcRtxKzq/cFeHBVzCIjgAWZaLgGVOjkUQBBdxc3MnOzuLoqLCc56zKgqrtmWwdnsmEUFe3HtND8Lae53nKIK9VMWC6dCPmPatAq0et2F/wRB3BRpN87mZ32BykCTpQWDhxcpiSJLkBtwty/K7zgxOEITGk5FxnIUL3+O5517Ew8OTjz/+HJ3uz5eIyqrqWbgqGflUGcMSwrh5bCxuBnEZ6XJYC45R98unKCVZ6KP64jb0FrRezW9NiD1nDqHAUUmS1mHrBCdjm63kDcQCI4EJwOeOvLAkSc8BM05/uVaW5ccc2V8QhMtTWlrCzp2/cfToURISep6TGJJPlLBodTJ1Ziu3T4pjaIKYd3I5VFMt9XuWY07ejMbLD/exD2CI6uvqsC6oweQgy/KTkiS9BdwK3I6tb4MfUIptfcM64Mn/LatxMZIkjQHGYmsapAI/SpJ0rSzLKx0egSAIdtu5czvZ2VlMmzaDPn368cMPm/Hw+POK27MvI4UFevHoNT2ICBSXkS6HOWMf9du/QK0uw9B9tG16qrF5z/CytyprEfCGJEmLTvdwuFy5wN9lWTYBSJKUCkQ64biCIFzE8uXLyMzMYOrU69Dr9eckhtLKehauTib9VBnDeoZx81XiMtLlUKpKqP9tCZbMA2gDOuJx1f3ogru4Oiy7OHpDukCSpFxs9ZQOYztzOIytNajF3oPIspz8x98lSeqK7fLSUAdjEQShAYqisGrVtwwdOpzg4BCeeeZ53N090OvP/dU/dKyYj9ekYLYo3DE5jiE9xGWkS6UqCubkTdTv/RYUBbeBMzAkjEWjbTnVaTWqqtq9sSRJk4EngQ3YWoFOAKKBGmwlvF+SZXmPA8frDqwFnpNl+TM7dokCMuwOWBDauKysLEaMGMH999/P3/72t/NuY7EqfPFDKiu2HCUqzIfHZvWjY4h3E0faetTnHqNw3UJMecfwiO5N4IQ7MfiFuDqsP3QGTtizoaPJIQuIl2W54vTXOuAd4ABgwFZ76S+yLK+341hDgRXAw7IsL7UzhCggo7i4CkWxL+6gIG8KCyvtPHzr0RbH3RbHDOeOu66uju3btzFq1BgAZDmNrl1j0Z6n5lFRWS0LVydzLKeCkb1ti9qMLeAyUnP8t1ZNtdTv/RZz8iY07j64DbkZfXR/p5Ysv9Rxa7Ua2rdvBw4kB0fPcRRs9WIrAGRZtkqS9ASwR5blbpIkHQNeBi6aHCRJ6gh8B9wgy/JmB2MQBOEilixZzPvvv8N3362jU6fOSFK38263Ty7g03VpqKjcM7U7A+KazafbFkVVVSwZe6nf/iVqTTmG+CttN5zdWvZNfEeTw8fAUkmS5siy/MflnWDgjyV9m4Bv7DjOI4A78JYkSX9870NZlj90MB5BEIDi4iKqq6uJjOzELbfMplev3nTq1Pm825rMVpZtOcqW/dl0DvPm7qk9CBa1kS6JUlFI3W9LsJ46hLZ9RzzGPtBibjg3xNHk8OLpfX6XJOkIkIOtttIfaxw6Ag3emJZl+SFsvSEEQbhMiqJw++2zaN++Pf/+9xd4eHjSv//A826bXVTNwlVJZBVWM35AJNddEY1e13xW5bYUqvX0Cuf9q0GrxW3QTRh6jGnSktqN7VJqKz0rSdK/gFHYaivNP+vSUBjwtHNDFAThfE6dOkmHDh3RarU8/vjTZ1p1no+qqvx6KJevNqbjZtTx1xmJJES3b8JoWw9LTir125aglOWg79wPt8Ez0bYLcHVYTneptZUKOU9tJVmWdwG7LjcoQRAu7tChg9x22y28+OJrzJ59E4MHX3gmeE2dmcU/yuxNKyCukz93TonHT3Rqc5hSU079zqVYju5A4x2Ex/i/oo9MdHVYjcah5CBJkjfwLNAP20K2bcAnon+0IDSNiopyfHx86d49gTvvvJdBgy6+POhoVjkLVydTVlXP9JFdGD8wEq0TZ8+0BaqiYE7dQv2e5WAxYew9BWPvyWj0rTvBOnrmsAjbjeR/Y7ukdD1wnyRJo2RZznd2cIIg/Ne//jWfdeu+59tv1+Dh4cndd993wW0VRWXNjhOs3naCAB83/nFLH7qE+zZdsK2EteA4dds+Ryk6gS48Drdhs5pNSe3G5mhyGAuE/lH2AnhbkqQXgHeBGy68myAIl0JRFBRFQa/XM3TocAwGA7oGmsAUl9ex6Ptk0rPKGdQ9hFljJTzcWs7K3OZArauyFclL3YrGwwf3Ufeg7zLQqWsWmjtH/8dUYCu6V3DW9/4JnHRaRIIgAFBbW8Pdd9/GiBEjueOOe+jTpx99+vS76D570gr47Ic0rKrKnZPjGdxDNORxhKoqWORt1O/+BrW+GkOPq3Drd22zL5LXGBxNDh9gW+dw01mXkYIBcc9BEJxEVVU0Gg0eHp7ExkqEh0c0uE+dycJXG4+w7XAuncN8uPvqeIL9PRvcT/gva9EJ6rYtQSk4hi6kK27DZqNr39HVYbmMo1NZXz99U1qWJOkQUA4MxrYqWhCEy3To0EFefvl5FixYSFBQME8//XyD+6SfLOX1z/dQWFrL5CGduHpoZ7F2wQFqfTX1e1ZgTt2Cxq0d7iPvQN91aJu6hHQ+9nSC6wmkyrJsBpBl+WlJkt4FhgNBwFxZlvc1bpiC0Db4+dk6gpWUlBAUFHzRbRVFZe3OTFZvy8C3nZHHZvZGimx+HcWaqz9fQqrCEDcKt/7XtfiyF85iz5nDGiBEkqR0/lum+xCwW5blU40ZnCC0BStWfE1mZgZ/+9vjREZ2YunSbxv81FpUVsuiNSkcySpnRK8IZoyMxtPd0EQRt3zWwgzqfluCUnDcdglp6C3oAju5OqxmxZ5OcJGSJPlh6wDX8/TjaqCHJElWTicMWZbvb9RIBaGVyszMQJZlzGYzBoPhoolBVVV2JOfxxYZ0AO6cHM+UkTEUFVU1VbgtmlJXiWn3CsxpW9F4eOM+8k70XYe0+UtI52NvJ7gy4NfTjzMkSeqMLVkkOD80QWidamtrWbjwPSZMmIwkdeOBB/6KXn/xpABQXWfm8x9l9qQV0LWDL3dOjifQz0O8sdlBVay2hWx7V4KpFkPCWNz6TkVjFDftL+SyJj+frsyaAaxyTjiC0PqZTPWsXr0SPz9/JKkbBoOxwX2ST5TwydpUKqpNXDcimomDOqHViqRgD0uuTP32L1CKT9kWsg25GV1AB1eH1eyJlTGC0AQKCvJZvXolt99+N76+fqxcuRZfX78G9zOZrSzfeoxNe7MIDfDkyVl96Rzm0wQRt3xKVQn1u77GcmwnGq8A3Mfch75zP3GmZSdHayu1l2W5uLGCEYTWasuWn/joo/cZOXI0MTFd7UoMmXmVLFqTQk5RNaP7dGD6lV1wawFd2lxNtZhs5bQPrgFVwdhnKsZeE1t9LSRnc/TMIVeSpCJsN6H/eCQByaL4niD8WVpaKjU11fTp04/p029g2LARREQ0fDnDqiis23mS1dsyaOdp4G8zEukhyms3SFVVLCf2U79zKWplIfqovrgNuhGtT5CrQ2uRHE0ODwGzsd2Ybg88g60nqSJJ0nFOJwtZluc6M0hBaGlUVeXZZ/+Bm5s7n3++FJ1OZ1diyC+p4eM1KRzLqWBAXDC3jJVo5yGmqDbEWpJF/Y7/YM1ORusfgfukx9BHxLs6rBbN0eQwF4iRZbkSQJKkR4H3sa17kIG40w9BaJN27PiNfv36YzAYefXVNwkMDLTrGreqqmw5kM3XW45i0Gm56+p4BsWLukgNUeuqqN+7EnPqFjB64DbkFgzxV7aqjmyu4mhyqAN8gUoAWZYtkiQ9DuyQZbkbsNHJ8QlCi5GUdJh7772dJ554lhtumEmXLjF27VdSUcen61JJPlFKj84BzJkYh7+3uD5+MarVgilpI/X7vrNNTY2/Ere+16Jxb+fq0FoNR5PDh8B/JEmaedbqaF9s7UEFoc2xWq0cP36ZfZnAAAAgAElEQVSUrl0levRIYN68txk5cpRd+6qqyvakPL7alI6iwKxxEiN7hYvZNA2wnDpE1rdfYy7KQhfRHbfBN4mpqY3A0eTwGuAGJEmSlAIUAkOAr5wdmCC0BG+++TqrV3/L6tUbCAgI4Kqrxtu1X3lVPZ+vlzlwpIjYDr7cNjmeYL+2VxbaXhUV5Xz83lsM9a8jXpuP3j8Uj3EPoYvsJZJpI3G0KqsKzJUkaQEwGls3uHdkWf6pMYIThOaopqYaRVFp164dN954MwkJPfH3t6/gnaqq7E4t4IsNMvVmhRlXxjC2f0exoO08amtrKSoqpENQAMq+b1m1agV+A6Pofft9hI+8lqISMUGyMV3SIjhZlouAZU6ORRCavbq6OmbMuIYBAwbx7LMvEhnZichI+wq2VVSb+GKDzF65kM5hPtwxOY6w9qIC6IXccccsDJZa/jWhEzpzLate+Ss+g69H6+GDRmdAtJFpXGKFtCDYoba2Bg8PT9zd3Zk5cxbx8T0c2n9PWgFL1svUmSxMuyKa8QMj0WlFz4Wz/fLLFpYvX8b8+e+hnDzIX+K8cDcr6IKjcRt0o7iv0MREchCEBuzatYNHH32YRYs+Q5K6MXPmbLv3rag28cXGdPamFRAV6s3tk+KICBIzasB2iW3fvj3ExcXj5dWO2tpa8rNPkrX0OQKqsxgaG4HboBvRR/Z0dahtksMfXSRJWn3W39c6NxxBaD6sVisA3brFMWTIUNq1s/9NXVVVdqXk8/THuzh4pJBpV0Tz1Oy+IjFg+9kApKQkcccds/nxx3UoVcUMN5zi43HBtLeW4zZsNp7TXxSJwYUu5cxh2Fl/H+6sQAShOXn//XdJTk5iwYKF+Pr68dprb9m9b1lVPUtOz0SKDvdhzsQ4IgLFvQWr1crjj/+VLl26cu+9DxAf34M3Xn+D/p4VVC/7B6BiTJyIsfdkUUq7GbiU5CCmVQitXmBgEOHh4ZjNZozGhktqg+0T8W+H81j60xFMFjETCSAr6xTJyUmMGzcBnU6Hl1c7PDw8URUL5tSfGZS/HrWuEn3MYNz6T0PrHejqkIXTLiU5qE6PQhBcrLy8jOeff4ZrrpnGiBEjmTHjJof2Ly6v47P1aSQdL6FrB1/mTIwjNKBtfvr9o6MdwJIln7Jq1UpGjLgCDw9P5s59GUvmfqq/eRq1PA9dmGS72RzU2cVRC/9LnDkIAuDh4UleXg5FRYUO7aeoKlv2Z7N86zFQ4earYrmyTwTaNrowa/funTz66EN8+ulXREd34bbb7uK22+7Cw8MTa/5R6ncuw5p/BK1fOO5iEVuzJs4chDYrLS2Fzz77hBdeeAWj0cgXX3yD1oHppbnF1Sz+IY0jWeX06BzA7PESgb5ta5WzyWTi+++/IyamK4mJvYmJ6crgwUPPvOGHhISilOVSu+FfWE7sQ+Phi9vwWzFIw0VxvGbucs8cRMoXWqyCgnz27NlFZmYmMTFd7U4MFqvCup2ZrNl+AjeDjtsnxTGkR2ib+QSsqiplZWVnVoUvWDCfCROmkJjYm4CA9mdu3is1ZZj2fYc57RfQGzH2vRZjz/FoDKKoYEtwKclh21l//9VZgQhCU9i8eRO1tbVMmjSFESOu5Pvv1+PhYf+9gWPZ5Sz+IY3somoGxAVz05hYfL3su2HdWjz66MPk5GTz1VfLMRqNLF26kuDgkDPPq6ZaTL+vw3R4PVitGOKvxNhnKloP0d60JXE4OciyPOWsv0+8nBeXJMkH2A5MlmX5xOUcSxAaoqoqy5Z9hdlsYuLEyWg0GrsTQ229hRVbj7FlfzZ+3m48OL0nvWLaxsyalJQkvvlmKU89NRe9Xs/48ROprKxEURS0Wi0hIba+E6rVjDllM6YDa2wzkKIH2GYg+YY08ApCc+SyFdKSJA0EFgGxropBaP0sFgvLly9l4sQp+Pj48uqrb+Dt7e3QJaAD6YV8sTGdssp6RvftwLUjovFwa93FBfLycvHyaoe3tzcFBQVs3ryRm2/+CzExXRkzZtyftlUVBcvR7dTvXYlaVYwuIh63ATPQBUW5JnjBKVz5P/xO4D5giQtjEFq5EycymDfvVVRV5aabZhEQEGD3viUVdXy5MZ0DR4roEOTF/13bgy7hvo0YbfOQnZ3FlCljeeSRfzBz5myGDRvBxo2/nrPeQ1VVLJkHMO1ZgVKajTYwCvcRc9B3cKzulNA8af5Yyu4qkiSdAEbaeVkpCshoxHCEVqCyspIdO3YwduxYAFJTU+nWrZvdZwtWq8La3zL44sdUrArMHCsx9You6HWtt1Dea6+9hru7Ow8//DAAixcvZsyYMXTocP5id7UnDlOy5Uvqc45gCAjHf+RMvLoNajM35VuwzsAJeza0+8xBkqQQYCyQCPgBZcDvwEZZlvMcj/HSFRdXoSj2JbWgIG8KCysbOaLmpy2O+48xv/nmayxd+iXr1v1EUFAwgYEdKCqqsusYGbkVfP6jTGZ+JT2iA5g1ViLIz4PSkupGjv7SXcq/dW1tDYcPH2LAgEEAHDlyHA8PzzPHmTRpGsA5x7UWHKd+zwqs2clovAJwGzEHQ+wwarU6au38GTtDW/z/DZc+bq1WQ/v2jtX1ajA5SJIUB7wIXAnsA1KBPMAbmAW8LUnSFuBZWZZTHA1aEJwhNzeH+nov3Nx8ueOOexg7dgJBQcF2719TZ2blLxls3p+FTzsj917Tg35SUKv9JPzRRx+wZMmnbNiwlYCA9rz66hsXHau1JBvT3m9taxXcvXEbdCOG+FFo9G1rplZbYs+Zw2JgHnCzLMv1//ukJElGYCrwb2CwU6MTBDuYzSZmz76RPn168/rr7+Dr60dCgp9d+6qqys6UfJZtPkpljYlRfWw3nD3dW9cN5yNHZJ5++h88//zLdOsWz/XX38iwYSPw97fdg7lQYlDK86jf9x2Wo7vA4I6x37UYe4xFY2xbi/3aogZ/A2RZHtjA8ybgm9MPQWgyJ09mEhnZCYPByLPPvsiAAb0c2j+7qJovN8iknSyjc5g3D1/fk6jQ1jEXX1VV9u7djbu7BwkJPQkJCcXNzY3qatvlsfDwCMLDIy64v1JZhGn/aszp20Crx5g4AWPiRDTuouR4W+HQDWlJktrLslzciPE0JArIEPccGtbax719+6/cd99dLFjwEUOH2irH2zvmOpOF7387wYY9p3Az6Jg2sgtXJIa32OqpZ4/7j6J3FouFCRNGkZjYmzfeeMfuYynVpZgOfI85bSugsS1g6zUJrad9Z2JNpbX//74QJ9xzcP4N6dNyJUkqAg6f9UgCkmVZFg1dhUalqioVFeX4+vrRv/9A7r33ARITezu0/560ApZtPkppZT3DEsKYfmUXfDxbx3Xzd999k23bfmXZspXo9XoWLPiITp2i7NpXqSnDdHAt5tQtoKoYpBEYe09B287+qb9C6+JocngImI2tbEZ74BlsmUiRJOk4p5OFLMtznRmkIAC88srz7N+/j6VLV2AwGLnrrv+ze9/somq+2phOamYpHYPbcc/U7nTt0Lw+DTsqLy+XlSuX8/jjfwcgNrYbqsqZHhSS1K3BYyg15ZgO/YA5eTMoFgyxw2xJwSeoscMXmjlHk8NcIEaW5UoASZIeBd4HDgEyEHf6IQhOYTab0Wq16HQ6rrhiFJGRndBo7F9vUFNnYfVvGfy0Lws3g45bxsYysldEi72EVF9fj9VqwdPTi4yM4yxa9AFXXXUlMTE9GD9+EuPHT7LrOEptBabf151OCmb0MUNw6zsVrY/9M7yE1s3R5FAH+AKVALIsWyRJehzYIctyN2Cjk+MT2rDS0lLuvnsO06bN4IYbZjJs2AiGDRth176KqrL9cB7Ltx6jstrE8MQwrruiZV9CKi8v4+qrx3HrrXcwZ86dDBw4mB9+2EKPHjF2X4c+c6aQshmsZlsHtj5Xo/UNbeTohZbG0eTwIfAfSZJmyrJ86vT3fIEw54YltGWqqqLRaPDz80OSuhEa6tgb17Hscr7adISM3Aq6hPvw0PSedA5rmbOQVq9eSVlZKbNn34avrx833TSL3r37ApwuemdfUTulpgzT7z9gTtly+kxhMG69p6D1E7+6wvk5mhxeA9yAJEmSUoBCYAjwlbMDE9qmnTu3M3/+PD766FN8ff148cXX7N63uLyWRd+nsCM5D992Rm6fFMfgHqEtqiubqqocP36MLl1iANi1awfZ2VnMmjUHjUbDPffc79DxlOpS2+Wj1J9BsZxOClej9RNnCsLFOZQcZFlWgbmSJC0ARgOBwDuyLP/UGMEJbY+fnz8Gg4GysjJ8fe27YVxvtrJ+90l+2HUSq1Vh0uBOTBzUqUVWTv3ii8W89dY/+eGHzYSGhvH003Nxd/dweKW2UllkSwppv9hmH8UOwdhrsiifLdjNnvIZDwILz14dLctyEbDsrG3cgLtlWX63UaIUWi1VVfn880+oqanh3nsfoFu3OJYsWWbXm6GqquxKzWf5z8coqahnSM8wrh4SRbBfy1m9m5eXyxtvvMbs2XPo2bMXo0ePxdvbB19fW/VXRxoRASjl+ZgOrsGcvh00YIgdblunIGYfCQ6y56NVKHBUkqR1wFZss5IqsdVWigWuACYCnzdWkELrpdFoOHEig8rKijPNY+xJDEezylm6+QjHcyqIDGnHnZPjGdY3skUsjMrNzaGyspLYWAlvb29SUpLIzc2hZ89ehIdHcM010xw+prXkFKYDa7Ac3w1avW3xWuJEsU5BuGT2JIcgoDdwK3A7kICtKmsptims64CnXLxyWmhBKisree+9t5k5czaRkZ148slnMRjsm0VUUFbLip+PsSetAL8WeF9BVVXuuutWwsMjWLjwU7y82rFmzUa7+1f/L2v+UfK2rKfmyB5b7aOeEzAkjEPr2fr7TgiNy57kcJ0sy3cCb0iSNEuWZTERWrgsNTU1rFu3hq5dpTO1kRpSVWtmzfYT/LQvC51Ow9VDo5gwsBNuRl0TRHx5li9fxurVK1m8+Cu0Wi3PPfcSYWHhZ553NDGoqoo1OxnTwbVYc1LRerTD2PcajN3HiNpHgtPYkxz2nb4B/Q221dCC4LDs7Cw2bPiROXPuICQkhDVrNuLj0/D0UpPZyk/7sli7I5Nak4XhPcOYOiwaf2+3Joj60tTW1rBhw4+MHTseDw9PvLy8CAoKoqqqCh8fH/r1G3BJx1UVBcuJvZgOrkUpykTj6YfboBsJGz6Z4nKLk0chNDdN3ZjNnuQwE3gCeBfwkiQpF1uTn7MfabIsWxstSqHF++GHNXzyyUdMmDCJ0NCwBhODoqhsT8rju23HKamop2eX9ky/ogsdgpvnJ2NVVbFYLBgMBlJTU3juuSdxd3dn3LiJTJgwmQkTJl/6sS0mzEe2Yzr0A2p5PhrfEFuTna5D0OgMaI0enF6XKrQyiqqQUizza/ZO0kuP8uaEZ9Di3iSv7WhV1jJsPRt6nX4knn74ybLcFFNEohBVWe3SHMZ98OB+dDo9CQk9MZtNlJSUEBJy8fn1qqry+9FiVmw9RnZRNVGh3lx/ZQxxnfwbfD1Xjbm+vp6//OUmRo4cxT333I+qqhw+/DsJCYmX1SxIra/GlLIFc9IG1NoKtEGdMSZORB/VF81Zl6Kaw791U2vtY640VbEjZw/bcnZRXFeCj9GbYeEDmT3gWoqLHO9K2BRVWYNkWTZj6wb3nz++ebqFqCCcYTabefLJR4mK6sz773+MwWBsMDGknypjxdZjHMkqJ8Tfo1l3Y9u/fy/Hjx9j+vQbcHNzo0+ffkRF2a66ajQaevZ0rLfE2ZSqYkyH1tvKZlvq0XXogbHXJHRh9vfBFloeVVU5WnacX7N3crAwCatqpatfNNfETCQxsDs6rQ6tA3XFLpeji+DMF/h+vnPCEVoyVVXZtu0XhgwZhsFg4J133ici4vwN6s+WmVfJil+OkXS8BN92RmaPkxjWMwy9rul+EexRVlaKn5/tDGbNmlVs2/YL11wzDb1ez2OPPXnZx7cWnsB06EfbdFQ06GMGYuw5AV37jpd9bKH5qjbXsCtvH9uyd5FfU4CH3oMRHQYzLHwQoV6um//T8paQCs3Wzp3beeCBu3nllXlMnDiFrl2li26fVVjFql8z2JdeiJe7nhlXxjCqTwRGQ/ObgbR+/Tqeeuoxvv12LZGRnbj//r/y2GNPoddf3q+QqipYM3/HdPhHrLkyGNwxJIzF2OMqtO3aOyl6oblRVZVj5SfYlr2LA4WHsCgWOvtEMituBn2CEzHqDK4OUSQH4fKYzSYyMzOJienKoEFDmDfvbUaNuuqi++SV1LB6Wwa7UvJxM+q4emgUY/tHNqu+zRUVFSxe/DHDh4+kd+8+9OrVl9mz5+DhYbu1FhBweYvLVHM95vRtmJI22G4yewXgNvAGDHFXoDE6tipaaDmqzNXsztvPb9m7yKspwF3nzpCw/gwNH0gH7/CGD9CEms9vo9AiPf/8M2zfvo01azbg6enFVVeNv+C2+SU1rP7tBDtT8jDotIwfGMmEQZ1o5+H6T0kAdXV1FBUV0qFDR4xGIytXfoOvry+9e/chJCSEBx/8+2W/hlJVjDn5J0xpW6G+Gm1QZ9xG3YM+uh8arfh1bI1UVeVI2XF+y9nFwcIkLIqFKJ9Ibu52PX1DEnHTNc8y8uJ/o+CwiopyDAYjHh4ezJ59G1ddNQ5PT68Lbp9fUsP320+wMzkfnU7DVf06MmFQJ3y9mtcvxV133QrA558vxd3dnXXrfnK4ttH5qKqKkn8UU9JGLBl7ARV9VF8MCePQhcSIm8ytVHl9Jbvz9rE9ZzcFtUV46N0ZEjaAYREDiWjX/Euli+QgOKSiopxrr53ElCnX8PDDjxAbKxEbe/57C7nF1azZfoKdKfkYdFpG9+3AxEGR+LZrHgvYtm37ha+//or5899Dp9Nxxx334O7+3znkl5sYVKsZy7HdmJI3oRRmgNHDdj+h+2i03qIQXmtkVayklqSzPWc3h4tTUVSFLr5RjI8aTe/gBIzN9CzhfERyEOxSU1ONp6cXPj6+3HLLrQwePPSC257Mr2TNjkz2pRVg0GsZ278j4we6/kxBVVUOHjxATExXvL29qa2tITc3h8LCAkJDwxgxYqRTXkepKsGcugVz6s+odZVofUNxGzoLQ+xQNIamWcAkNK3CmmJ25O5hZ+5eyk0VeBvaMarjcAaH9XfpjKPLIZKD0KDNmzcyd+7TfPnlN3TsGMmcOXecd7sjWWWs3ZHJoWPFuBt1TBzciav6d2w2rTllOY05c2by1FNzuf76Gxk9eixjxoxzymUdVVWx5qZhTv4Jy4n9oKroIhMx9hiDLqK7uHTUCtVbTRwsOMyO3D0cKTuOBg3d20vMCL+GHu27oW/h95BadvRCo7Jareh0Orp378mIESP/dMnlD6qqcvh4Met2ZJKeVU47DwPXDO/M6L4d8HJ37Y1mRVF44olHiIzsxH33PYQkdWPevLcZOnQ44HjBu/NRTTWY07djTt2MUpoDbl4YEsZhjB8leii0QqqqklGRyY6cvewv+J06az1BHu2ZEj2eQWF98XNrPdVwRXIQzuv111+iuLiYf/5zPiEhIbz00ut/et5iVdiVks+Pu0+SXVhNgI8bN43pyoie4S6tlJqTk01S0mHGjh2PVqvF09MTNzfbPQ6NRnPR2VSOsBZlYk7ZgvnoDrDUow3qjPsVt6PvMhCNvnmcKQnOU1Zfzu7c/ezM20t+TSFGrYHewT0ZHNafGL/OrfLMUCQH4byCg0MwGt3OnD38oabOzNbfc9i0N4vSyno6BHlxx+Q4BsSFuGxFs9lsxmCwnaUsWbKYlSu/YejQYXh5teO5515y2uuo5nosx3ZhSv0ZpfA46IzouwzE2H0UuiBRsLi1MVnNHCpMYmfePtJKjqCi0sU3ijHdRtInOAF3feu+fySSgwBAYWEBzzzzD+6++z569+7LnDl3/un5gtIaNu3L4tdDudSbrMR18ucv47uREB3g0k9Ne/fu5tFHH2LRos8ICurLrbfezqxZt+Ll5bzqrdaiTMxpWzEf2QHmWrT+4bgNudlWFdXtwlN4hZbnj5XLu3L3sb/gEHXWOvzd/BgfNYoBoX0J9gx0dYhNRiQHAYB27dpRUlJMQUHBme+pqkpaZikb92bx+9EitFoNA+KCGTcgksgQb5fEaTabWLv2ezp16kzv3n2Ijo6hX7+BgC1BNVTcz16qqRbz0Z2Y07aiFJ0AnR599AAMcVeKtQmtUGFNMbvz9rErbz/FdSVnLhsNCutLjF90kxa8ay5EcmjDDhzYz4oVy3j++Vfw8PBk6dKVaLVa6kwWdiTl8dP+bHKKqmnnYWDykCiu7BOBnwvWKKiqSnl52Zmid++++xZjxoyjd+8+BAQEMG/e2057HWteOua0X7Ac3wNWE9qADrazhJjBostaK1NtrmF/we/syt1PRkUmGjRI/jFM6nwViUE9cNc3j/U4riKSQxuWk5PN/v17ycvLJSKiA7nFNWw5kM2O5Dxq6610CvHmtolxDIwPxqB33U3mJ554hBMnMli69FsMBiNffvkNoaHOW2GqVBVjTv8Nc/pvqBX5tuJ3XYdg6DYCbVDrvNnYVpmtZpKK09iTt5+k4jSsqpUwrxCmdplA/5De+Lv7uTrEZkMkhzZEVVXWrFmFp6cno0ePZeLEyQwfMYrkzEqWbNlHelY5ep2Gft2CGdWnA13CfVzyxpiWlsrXX3/FE088i8FgYMyYsZSVlaIoClqt9k/9ly+Vaq7HcmIf5vTfsGanACq6sG4Y+kxB37k/GkPb/tTYmiiqwpHS4+zJP8DBwsPUWurwMXpzRYchDAjtQ4d24eIDwHmI5NCGKIrCsmVfERgYRNceg/n1UC47kvKoqbcQ7OfB9Vd2YVhCGN4uWLSWn5+Pp6cn3t7eFBTks2nTBm688RZiYyXGjBnnlNdQFcW2UO3IdluNI3MdGu9AjH2uxhA7FK1Py1zJKpxLVVVOVWazJ/8A+wsOUVZfjrvOjcSgHvQP6Y0UENMm7yM4wmXJQZKkmcDTgAF4W5bl91wVS2tmMplYtuxLpk+/ASsGpt/+DAcyqpn76R70Og19pWBGJIYjRfqhddGnp9zcHCZPvoq//vUxbrnlLwwdOpyNG385sz7hclmLT2E5ugPz0R2o1aW2y0bR/dHHDkMX2hWNeJNoNfKrC9ibf5C9BQcpqClCp9ER317iuphJJAR2bxZ9EloKlyQHSZIigJeBvkA9sF2SpC2yLKe4Ip7W7HBSEm+++Tp7j1ZT49Udq6ISGdKOm6+KZWB8iMvKZX/wwb/Q6/Xceee9hIWF8+ijTzBs2BUA6HS6P62tuBRKZSHmY7uwHNmJUpoFGi26jgkYBt2IvlMvNG38ZmNrUlxbyv6C39mXf5BTVTlo0BDj15kxHa+gV3ACXgbRH+NSuOrMYQywWZblEgBJkpYD04EXXBRPq1JcXMJ36zZQQkf2yVXEjX8abWAUo+NDGNIj1CXTUOvq6jh8+CD9+w8C4NSpk39KADfeeMtlv4alsgTT4S2Yj+1CKTgGgC6kK25DZ6GP7o/Ww+eyX0NoHkpqythyagf78n8noyITgE4+HZnWdQp9gnu2qjIWruKq5BAO5J71dS4wwEWxtApWRSH9ZBl75EK++vifFGTso9/01xjQI5KBU7sTH+WPzgm1hC7VokUfsHjxx6xf/zOBgUG89NLrTqltpNSUYcnYi+X4Hipz0wEVbftIjAOux9BlgCiN3Ups3ryROsWEZzc/9ucf4nj5CVRUItqFMTV6An1CehLoIdqqOpOrkoMWUM/6WgMo9u7cvr1j882DglyzYKuxmcxWDqYXsuNwLrtT8qioNuFm1DFx+u3Ed7if6yYNxc1F/ZhlWebhhx/mtddeIzExkbvvvp3x48cgSVGXnRQsFcVUy7uoTt1O3ak0QMUQ2AGfETPwihuCMbCDcwbRgrT0/+MFBQUUFRURHx8PwFNPPUVVVRVzX3uBXVkHeO39V6jHTI//G0IHnzCu7zGJIR37Eu7jnEWPLUlT/Vu7KjlkAcPP+joUyLF35+LiKhRFbXhDbD/IwsJKx6Jrxkoq6jh0vJhDR4tJySzBZFbwcNOR2CWQPrFBJHRpj5tB1+TjVlWVAwf2YTAYSUjoiV7fDlXVkJ1dQHh4JUajD127JlBcXH1Jx1fK8jCf2IclY5+trhGg9e+Ase9U9J37owuIwP+PMbeif297tJT/4xaLBb3e9pazceOPJCcn8fDDjwDw2GNPIMuprF69ntK6MnJqi8iqyOae1U+gotLvjpEM7NyP/hF9CW8XembMLWHcznSp/9ZarcbhD9WuSg6bgLmSJAUB1cA04K7GfMHkEyXsTsln3IBIwgNbTj2cepOVI1llJGWUkJxRQnaR7c010Ned4QnhJMa0p1snf5cXvfujPHZ8fA/mz1+Aj48PS5Ysu+TjqoqCUngcS+YBLCf2o5TZrkJqgzpj7D8dfec+6PyaV0N24b9Onsxk//69TJ16HRqN5sxlxV9/3YNWqyU1NZmfftrAgw/+Da1Wy9QbppGUn8obexeQUXESBmrp7tWf3sEJ9A7uSZhXiKuH1Oa4JDnIspwtSdJTwBbACHwsy/LuxnxN46ltJOb+xL8XD6Zj90SmDovG37v5zVipqbNwLKecI1llpGWWkZFbgVVR0eu0xHb0ZWhCGAnRAYQHerl84c7777/Lzz//xLJl36HT6Xjnnffp1Cnqko+nmmqxZKdgyTyI9dTvqLUVtllG4d1wix+NPqo32nbiunJzYLVaycnJJiQkFKPRyI4dv/HRR+8zf/4C/Pz82b79V1577SWGDh1OUFAwCQmJ3HzzXzCZTLi7u3PffQ8z/babWZ+5mYOFSWRV5YAHdFTCmRI9nt5BPQhpoR3UWguXrXOQZfkr4Kumer0TwVq+NxmZ6fYz6XIJjx3OpWeXQAZ3DyUxJt1b+PsAABl5SURBVBCDvuk/eVusCjlF1WTkVvx/e3ceHUd1J3r8W9WLelOrW62ttVmyLJW8CdsYYzvGJsagMYTVQAhbOCa8xITDBHhkSF4cGDPzPI8JmTzCZDIn8GCA58EBBwdjHntwFsYQiPGGXZYsyZa1W2svUi9V9f5oSdhWsGUka2ndzzl1fKwqNffn29Sv7lL3UtvUQ01jgIa2IAYgSxJF/lQqFxVSPs1Dab5n3MYPBrS0tLB168t885t3YrPZKCkppa+vj2g0SkpKCuXls87q8wzDQO9qQqvfS7x+N1qTCroGVjvmggrM0+ZhLqgQK5+OI8MwkCSJxsYGfvObl7jmmjXk5xewY8fvuP/+e3jhhZeYM2cuJpMJSZIIBAJ4PF4qK69g2bIV+HyJVUwXL17KogsXU9dzlN3H9rO7bR9tve1ISBSnFXLdjK9xXuYcMuzp4xyxMGDKvCG9rOQSdnUfZhMN3MqnLJYDPNe0gF9UHceeYqIs34NS6KWswENepnNUb8TRmEZbVy/NHWGaO8I0Hg9R3xqiqT2E1j924rSZKfK7WagUMyM/jem5bmzW8a+eaDRKPB7D4XBSV1fDL3/5JPPmLeDCC5dQWbmaysrVZ/V5Rl+QeOMBtGP7iB/bhxFsB0D25mGZcxnmworEi2mTfIvFySYSibBr1ycUFBSSl5fPkSO13HXXHTz00HpWrlxFMBjkmWd+xdy5FeTnF1BRcR6PPPKP5OYmuvYWLVrMokWLBz/P6/Xi9XqJajEOHVfZc3w/e45/RiAaRJZkFO8MLilcTkXGbNJSxBTjiUgyjOEN7E4QRUDtlx2QDsd6efLTX3Es0MBtTd2UxyQ6iivZES7jQH0PLR1hIDF1KsNjw+9zkp6agttpJc2Vgt1qwmoxYbXISEiJJ1/DIBrT6Ytq9EbjhHpj9IRj9ISidAUjHO/uoycUPalM3tQU8jNdFGS5yM9yUux3k+Wxj2o30WgMUvb09HD11ZXceusd3Hnnt9F1ndbWlrNa9M6IR9FaqtEaPiPe8Bn68VowDLDYMOfNxlQwF3P+HOTUka+TP1kGZkfbcOOORCJEIhHcbjd9fX1s2LCeFStWUlm5mq6uTi6+eAn33/99br99LaFQkI0bH+X667/OvHkL0DQNXdewWM68tEogGmRf+0H2Hf+Mz9pVonqMFJOVWb5y5mXMZpavHIfFPiYxJ5tRGJAuBuqG8ztT6vHMYbFzz7y7+Pmnv+J5SeK6iIPz1a2sSS/Aeuk1hDKWUN0QoPF4iMb2EE3tYWqbegiEY2f133HZLbidVjwuK+eV+MhIs5HhsZOT7iAn3YE9ZeL+s2/fvo329jZuv30tbrebr3/9FubPPx9I7Ll8psRgxKNorYfRmlS0xoNordWgxUGSkbOmY51/VSIZZE1Hkse3myzZvfrqK3g8XpYvvxjDMFi5cinXXHM9Dz74A1JSUjh06CBz51YA4PF4eeqp55gxoxQAp9N10tawp3tr3TAMmkIt7Dt+gL3tn1HbfRQDA09KGhf6F1KRMYtSbwkW0RqcVKZUy2FAONbL0/te4GBnFRe7y6isPoTU04rszcM67wrM0xchmT7/Isc1nUA4Rl80TjSmE41rGEYiG0sSWEwy9hQzNqsJe4p53GYOnWi4TxiGYVBXV0tx8XQA1q9/iLq6Wp577sVhtWSMvmCiZdB8iHjzIfS2OtDjgIScUYjJX445byamHAXJOrKnxTOZak+TDQ3H6OnpZvnyxbS1BXjooQew2x08/PCjAKxZcyXTphXx05/+HIDNmzdRUjKDhQtH/r5pTItxqOsw+44fZH/7Adr7OgEoSM1jbsYs5mbMpMCVd84mTUy1uh4wli2HKZkcADRdY0v1a+w49idmpZdxi30Glj1vo3c2INndWMqWYSlfgZw2OafQDfdLtGnTc/zzP29k+/Z3yM3No7c3jM3217u4DD2O3tGQaBm01qC3VKN3NydOSibkzCJMOWWYc8ow+cvGfCA5GW8YfX192GyJvYq3bt3C0aN13HvvAwDcffe36Ozs4J133qatLcCTT/6MlJQU7rprHQAdHR14PJ5ReRMdoL23g/3tKvvbD3Kos5qoHsMiWyhPn8Ec30zmZMwcs2UrkrGuh0N0K40Bk2zixrKr8TuzeenQb3ks2Mztl3yTGcFeYgd3EN3zBtHdryNnTk+s4Dl9YVIsxdDa2sLjj/8vvvGNW5k3bwErV15KSooNjyexyYndnlikzNDi6J0N6O1H0drq0I7XobcfBS3RxSbZUhPdRMoyTNmlmDKLxGJ2I1RVpbJ37x6uu+4GAH7yk428/vprvPfenwA4dEhl797dg9evW3fvSUn8nnu+d9LnpaePbOZPTItR3V3LZ+0qn7WrNIcTW8hm2NJZknsBs30zKfNMxyJWOk1KUzY5DLgobzFF7gKe2b+JJz99mlWFK7hi1d2k9AYS6/7XfETkw81EPtyM7M3DlD8Hc/5sTNml57ybZLS0tDTT3d1NWZlCamoqe/Z8yvLlX2XevAVkZ2dz7WVfRT9+mEjHMfSOevTOY+idjYlppQAWG6aMaVhmrcSUWYwpqwQpNWPc37OYbCKRCEeO1DF9eglms5l33nmTp5/+d555ZhM2m40dO37Hk0/+jMrK1TidLpYsWUZ6ug9N0zCZTHz/+z886fMGxgtGi2EYtITbONBxiM86VKo6a4jpMcyymVLPdL6Su4jZvnKyHJmi7qeAKdutdKqIFmVL1av8qfEjsh1Z3Fy+hhmeYgD0nlbitZ8QP7YPrVntH2CVkNMLMGXPwJRZjJxegOzNRTKP/UY5f81A3IZhcO21l5OR7uXfN25IxNLZBIE29O6mxJvH8c9nU0lOL3J6Pqb0AuSMaZh8hUhp2ZNiz4OJ0NVgGAaGYSDLMrW1NWzZspnbbltLdnY227ZtZf36h3jlldcpLp7O73//Pps3/1/+/u//JxkZmXR2dqLrGunpvrO6+Y4k7mAshNpRzcGOKg50HKIz0gVAlj2Dmb4yZqUrlHpLSDFNjO/1gIlQ1+NBjDl8sSLOUXIYsL/9IC+qr9DR18lS/yKunrEal+XzvnMjHkFrrkocLdVorYch1pc4KclI7kzktBxkdzayOxPJlY7sTEdyepFsrlGdv28YBsT6MPoCiSPcgx7u5Ldvvcu23+/kF2v/BincyScHq8myy+Sl2fp/U0JKzUBOy0b2+JE9ucjeXEzePCTb2a2/MpGM9Q0jHA7x4Yc7KS+fid+fy/79e1m37ls89ti/sHjxUnbt+gvr1q3lF794igULFtLc3MTu3btYsmQZbvfoze0/m7ijWoya7joOdlShdlZRH2jEwMButqF4Z1CeXsbM9NIJv8KpSA5nR4w5jILZvnJ+dOEDbK99i9/V/5FdbXu5vOgSlucvxSybkcwpmPPnYM6fAyTWADICrWjt9ejtR9G7mtC7W4g1HjjpiXyQ1Y6U4kKy2pEsNrDYkEwWkE1gMsOJT4y6npj5o2sY8SjEoxjxCEa0D6JhjEgYDG3of6KxnTQ5RqCnE0+Gn0Wr5iC7MxPJKjUr8afoJx6Wnp4eDEMnLc1Dd3cXjzzyI6666lq++tVL6Orq4r77vsv69RtYs+ZG/P5cKitX4/Um+vorKs7jgw/+MjggnJPjP6t3REaDpmscCdSjdhzmUGc1NT1HiOtxZEmm2D2NK4ovpTy9lMLUfExiarFwAtFyOI3GYDO/qX6NAx2HyLT7uHJ6JfOzKoa196xhGBi9PRihTvRQB0a4K/F03xvAiAQTN/hYL0YsAlocQ48nEsGJ9SHJiSm1sglM1sSm92ZrIrFYHYkjxYlkT0WypSLZ3UgOD5I9laxs75R7shrp06RhGPznfz5PYWERy5YtJxaLsnjxfO6889vcffe9xONxvvGN67j99rVceeU16LrO/v17KSmZgcMxfkt8nBi3pmvUBxs41HmYqs4aqrtriWqJh5Q8l59ybylK+gxK0oqxTeIJBKLlcHZEt9JfMRpfov3tKq9Uv0ZTqAW/M5vLiy9lXuacCb1B+VT8n2c4MVdXVxGJ9DF79lwA1q27k8LCafzgBz8GYPXqlSxevJSHH/4HAF566UVmzpzNnDlzz23hv6S4HqfH1MHHtfup6qrhcHctkf5kkOPMptQznTJvCWWeElzW5Fmjaip+v0F0K004s30KM9NL+UvrHl6vfYen971AjiOLVYUrWJgzX7z5OYEYhkEwGCQ1NbEhygsv/AcdHe3ce+/9ADz66I8xm808/fTzAJSXzyIr6/PVP1966VWczs9vojfccNMYlv7M+uJ91HYf5XB3LdVdtdT1HCWmx4FEMliUcz6lnmJKvSW4rZN7AyBhfIm72jDJkszC7HksyKrgk5bdvH30fV44+BLbat5gef5X+EruIlKtk3cwd7Lau3c3qnqA669P3MTXr3+I3bt3sW3bWwDU1dXQ0tI8eP2DD/4Qh+PzDef/9m8fOOnzXK6JU4eGYdAZ6aKmq46aniPUdNVxLNiEgYGERL7Lz7K8xSwonEWmlCO+f8KoEt1KX5JhGBzsqOKdozs42FmFSTIxP2suF+UtoSStaNzngSdLszsYDHL4cBUVFfOQJImtW7ewadNzvPjiK8iyzBNPPM5zzz3Lzp278Pu9bNmyjcbGBm666ZbxLvpZi2ox6gMN1PYcobb7KLXdR+iO9gBgNVkpchdSkjaNEk8xxe5CbObE7LNkqeuzMRVjBtGtNClIksRMXxkzfWU0h1r5Q8N/sbPpEz5u+ZRMu4/F/oVcmHM+XptnvIs64el6YvvwgR3CXn55M/feez9paR5ee+23/NM/Pcpbb+0gKysbl8tFQUEh4XAYl8vF7bevZe3abw9uP7l8+cXjGMnw6YZOS7iNIz31HOmpp67nKMeCTehG4t/CZ/NS6p1Ocdo0prunkefyi9lEwpgSyWEU5DizuKHsaq4qWc2u1j3sbPqYbTVvsq3mTUrSilmYfR7zsypEsx/o7u7igw/+yIIFF5Cdnc2f/7yTe+75Nk899Txz51bQ3t7Ou+++xY033kxamoeLLlqB3+8fHENYtaqSVasqBz/P4/GOVyjDphs6beHj1AcaOBpo4GjgGEcDxwYHjm2mFArdBawqXEGxu5CitEIxXiCMO9GtdI60hdv5uGUXH7d8SnO4FQmJEk8R52XMpmIMdrwar7gNw6CtrRWLxYrX66WlpYVHHvkht912B0uXXkRVlcoNN1zNxo0/YfXqr9Hc3MSmTc+xZs3XmTataHDnsS9jInQ1xPU4TaFWjgUbORZooD7QQEOwiT4tAoBZNpPvymWaO5+C1HyK3QVkOTJHNPNtIsQ91qZizCC6lZJCpsPH6uJV/E3RJTSGmtnVupfdbfvYUv0aW6pfI9uRxWyfwiyfQklaMdZJ9lLawE08Ho/z7LNPMWvWHJYuXUYg0MNll63ge997kDvuuJPUVBfd3V1EIomn5KKi6bz88qsUFhYBiRfD7r//7wY/d7zHaobLMAy6oz00BVtoCDXREEwczaFWtP4XE62yhfzUXBblnE9Bah6FqXn4ndmie0iYFETLYYy1hdvZ257YIauqq4a4HscsmShOm4bincEMTzHT3IUjThajGffevbuRJHlwrv9NN13HBRcs4oEHHsIwDC6+eDHXXXfj4MyfLVt+zXnnzR/cOGasnIu6NgyDnmiA5lArTaEWmsItNAVbaAo1E473Dl7nSUkj15VDviuXPJeffJd/xC2C4Zpo3/GxMBVjBtFySGqZDh8rHRexsuAiIlqU6q4a1I5qDnVWs732bQwMTJKJwtR8itMKKXIXMM1diM/mPWdP1Zqm0d3dPbjE87/9288xDIO7774XgA0b1uP35/LEE78E4MILlwze+CVJ4s03dwzuOQCwZs2N56Sc51JUi9LW205r+Dit4TZaBo9WeuN9g9fZzXb8ziwWZFXgd+WQ68wh15Vz0vpbgpAMRHIYRykmK7N95cz2lQMQioWp6a7jcFcdh7vr+EPDf/Fe/R8AcJod5KfmJg5XLn5nDjmOzC+1lv5HH+3kyJG6wRe87rvvu7S0tLB58ysANDc3Dc4gAtiwYSNu9+ebuNx334Mnfd6JiWGiMgyDYCzE8d4O2vs6En/2ttPWf3RFuk+6Ps3qJtuRyQXZ88l2ZpHjyMLvzMZtTZ00XV+CMBKiW2kC03SNhlATdd311AcaOBZsoDHYTLy/T1uWZDJs6WQ5Msl2ZJLlyCDD7sMaMaEFQ5SWJrqBnn/+WbZt28qvf70VgI0bN/DGG9t5//2dSJLEjh3vEQwGueKKq8Yt1pEwDIM+LYLsjFPb1ERnpJuuvi46I1109CWOzr5OovrJe4GnWl1k2n1k2jMSh8NHliODLHvmpFp3aDJ/x7+sqRgziG4loZ9JTnQvFabmD/5M0zVae4/TGGymMdRMc6iV1nAbBzuriPcvo3Ds3SqObD/A5T+9mUxPJi199dhyXLxd8z4+Vzqrb72GW76zlnC8F7vZxooVK8crxC8U1WKE42FCscQRjIUIxUIEokEC0RCBaICe/qM7GhhcXO5ELouTdJsXvzOb2T4Fny0dn91Lus1Lht034fYoEISJRCSHScYkm/A7s/E7szmf8wZ/rhs6nX3dHO9t56D7AI3L6rGkuwnoAayzU/HOKGBr3etDPk9CwmGx4zQ7sJvt2M02bOYUUkwDhxWLyYJFNmORLZgkEyZZxiSZkCUZGam/m0XCwADDQCex4Y1m6GiGRlyP9x8aMT1GTI8R1aJEtBhRLUJEi9Ib76NX6038Ge8bTHR/jcNsJ9Xqwm1NpTA1H3dKKp6UNAoyspAjVrw2D2lWt9i+UhBGQCSHJCFLMj67F5/di5I+Y0jz0zAMQvEw3ZGe/qfvIIFYkFAsTLj/6XzgxtwV7SESj/TfwCOD3VijVc6BRGMzpZBiTsEqW3FaHPjsXmwm2+fJymLHaXHgsjhwWpw4LQ5SLa4vnAo6VbsaBOFcEMlhipAkCZfF+aVm1eiGPvjUH9c1dENDMzQ0QwfDwMBANwzk/haEJEmYJDnRspBkzLIZs2TGLJswSSYxoCsIk4BIDsIZyZKM1SRPuhf1BEH48ibubjWCIAjCuBHJQRAEQRhCJAdBEARhCJEcBEEQhCFEchAEQRCGEMlBEARBGGKyTWU1QWKdkLNxttcni6kY91SMGaZm3FMxZvhycZ/wO8PeTGSyLby3DPjDeBdCEARhkroI+ONwLpxsySEFuABoAkZvTQdBEITkZgL8wJ+ByHB+YbIlB0EQBGEMiAFpQRAEYQiRHARBEIQhRHIQBEEQhhDJQRAEQRhCJAdBEARhCJEcBEEQhCFEchAEQRCGmGzLZ3whRVFuBn4EWICfqar6r6ecnwc8BbiB3wPfUVX1i3exnwSGEfPDwFqgs/9Hvzr1mslKURQ38AHwNVVV6045l3R1DWeMOSnruj+uG/v/ul1V1e+fcj7p6noYMY9JXSdFy0FRlDzgH0ksrzEP+G+Kosw65bIXgHtUVS0DJOCusS3l6BpmzAuBm1RVndd/TPqbBYCiKBeSWAKg7AsuSaq6hmHFnHR1rSjKKuAyYD6J7/j5iqJce8plSVXXw4x5TOo6KZIDsAp4T1XVDlVVQ8DLwPUDJxVFmQbYVVXd2f+jZ4EbxryUo+u0MfdbCPxQUZQ9iqI8qSiKbcxLeW7cBXwXaDz1RJLWNZwm5n7JWNdNwAOqqkZVVY0BB4DCgZNJWtenjbnfmNR1siSHXBL/qAOagPyzOD8ZnTYmRVFcwC7gQWAB4AHWj2UBzxVVVb+lquoXLcCYjHV92piTta5VVd0/cONXFKWURFfL6ydcknR1faaYx7Kuk2XMQQZOXCRKAvSzOD8ZnTYmVVWDwOUDf1cU5XHg/wD/Y6wKOE6Ssa5PK9nrWlGU2cB24EFVVatOOJW0df1FMY9lXSdLy+EYiRUHB+RwcvP7TOcno9PGpChKoaIoa084LwGxMSrbeErGuj6tZK5rRVG+ArwLPKSq6n+ccjop6/p0MY9lXSdLcngHuERRlExFURzAGuCNgZOqqh4B+vr/0QFuA/7f2BdzVJ02ZqAXeExRlGJFUSQS/dWvjEM5x1SS1vWZJGVdK4pSAGwFblZV9cVTzydjXZ8pZsawrpMiOaiq2kCiWfU74FNgk6qqHymK8rqiKAv7L7sF+BdFUQ4CLuCJ8Snt6DhTzKqqtgHfBrYBKoknjMfHrcDnWDLX9ReZAnX93wEb8FNFUT7tP76T5HV92pjHsq7Ffg6CIAjCEEnRchAEQRBGl0gOgiAIwhAiOQiCIAhDiOQgCIIgDCGSgyAIgjCESA6CIAjCECI5CIIgCEMky9pKgjBuFEWRgb8D1gF24GHgfwO5/S8tCcKkI5KDIIzcj4FLgYuALuBNoF0kBmEyE8lBEEZAUZRM4H6gon+tHxRF2Q4sH9eCCcIIiTEHQRiZS4ADp2zb6QP2jk9xBGF0iOQgCCOTAQx2HymKYgauRCQHYZIT3UqCMDIHgQ2KohSTGG94DJgO7BvXUgnCCImWgyCMgKqq7wAvAbuBD0m0GHRg/3iWSxBGSizZLQijSFGUy4B/VVW1dLzLIggjIVoOgjC6ZiLGG4QkIJKDIIyumYjxBiEJiG4lQRAEYQjRchAEQRCGEMlBEARBGEIkB0EQBGEIkRwEQRCEIURyEARBEIYQyUEQBEEYQiQHQRAEYQiRHARBEIQh/j+1XXgxoX+sZwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_convex():\n", " q = np.linspace(0, 2.5, 100)[1:]\n", " f = lambda q, p: q * np.log(q / p)\n", " qlo, qhi = 0.5, 2\n", " for p in (0.5, 1, 2):\n", " plt.plot(q, f(q, p), label='$p={:.1f}$'.format(p))\n", " plt.plot([qlo, qhi], [f(qlo,p), f(qhi,p)], 'k:')\n", " plt.legend()\n", " plt.xlabel('$q$')\n", " plt.ylabel('$f(q) = q\\, log (q/p)$')\n", " \n", "plot_convex()" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that we already met a different measure of the \"closeness\" of two PDFs: the Wasserstein (or earth-mover) distance $W_1(q, p)$, which is harder to compute than KL but has some [desirable properties](http://www.stat.cmu.edu/~larry/=sml/Opt.pdf).\n", "\n", "We will use the MLS `plot_KL` function to explore some examples:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_KL in module mls.variational:\n", "\n", "plot_KL(q, q_scale_range, p, p_scale, theta_range)\n", " Explanatory plots for the KL divergence.\n", " \n", " q and p are arbitrary PDFs defined in scipy.stats. q represents a\n", " family of PDFs by allowing its scale factor to vary in some range.\n", " The target pdf p uses a fixed scale factor.\n", " \n", " Parameters\n", " ----------\n", " q : str\n", " Name of a 1D continous random variable defined in scipy.stats.\n", " q_scale_range : list\n", " List [lo, hi] giving the range of scale factors to allow in defining the\n", " q family of PDFs.\n", " p : str\n", " Name of a 1D continous random variable defined in scipy.stats.\n", " p_scale : float\n", " Fixed scale factor to use for the target PDF p.\n", " theta_range : list\n", " List [lo, hi] giving the range to use for plotting and integration.\n", "\n" ] } ], "source": [ "help(plot_KL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our first example, we chose a family $q$ that includes the target $p$. This is generally not feasible but nicely demonstrates our earlier claim that KL$\\ge 0$ with KL$=0$ when $q=p$.\n", "\n", "In this example, we explore the family of PDFs $q(\\theta; s)$ by varying the scale factor $s$. More generally, the family can be explored with any (multidimensional) parameterization that is convenient for calculations. We need a parameterization of the family $q$ in order to use standard optimization algorithms to find the minimum KL divergence." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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9jHfeeZ+WLVv5lK2I+kTZKMOvQ58z1/s+0eK5He9uLzlBUIZfVyVxFSUJgqizcns9iyl9J67wypkTv6DdX7Hs/5bAXR9LgiCEEH60du2WErdPn/5yqWWKmjjxbp555gluummcd1HGgQMHM3DgYG+Zn3/+EYvFQpMmCec99tZbJ3LrrRMvWNfKlSuwWq1cddWQUuM6H03bTatWrenVqw+9evWp9PpE2Shdu6Bfcbl3oPImi4nGThcNXXrxwh2uqPLxByBdjERdZQ6moMNd5A56o9KqsDcZjDswAlPmbowZ/lvsRAghRMXo0KETEybcQXLysfOW2bt3Dy1atPIZ81DWY4tyOOw88cQzxc5THnv3arRsWbaJMiqiPlF2yhuvQ1gYTmBbgInuJXUvCgtDeX12lccG0oIgROUxmrG1GIF15wdY9n5JXtST/o5ICB+qqo4DpgJmYLamaW+fs78jMB8IA9YAd2ua5lRVtSnwnzPbs4G/a5p2uCpjF8Jfbrhh1AX379u316d7UXmOLWrYsEvrVqLrOvv27WHUqDFVUp8oH6VdW/hmKTvvmcTp7BP0ODdB6HAFyuuz/bJIGkiCIOogy58fYcrcTX77CbjDW1RqXbZW/0fgrkUY8tMrtR4hyktV1UbAC0AXwAasV1V1laZpfxYp9hEwUdO0jaqqLgDuAOYCzwOfaJo2V1XVf5w5z1+r9gqEqJ4utFhjRYqNjeO771YA8N57iwgKCvLZrygKP/20ukpiERdHadeWLX+5Gd5+na5//RtW3ORbglCGX+eXbkVFSYIg6hzr7+9iTt2OI6479kpOEByN+5Fx+150a1Sl1iPERRgMrNQ0LRNAVdUvgNHAtDPvEwCrpmkbz5R/H3gOT4JgxNN6ABAM5Fdd2EIIAIPBQHi4Z3absLCwUkqL6mrjxvWoalui/vUCYTGh2NJO+TskQBIEUccYTh3FnLod3RyMvWkVDMQymCQ5ENVVQ+B4kffHge6l7G985vVTeFocJgMBwJXlrTwqqnZMoxgTE+rvECrV2etLTTVgMtWuYYu17XqKquxrMxgMfv3Zry2/d/n5+ezY8RsTJkzwXlN1uTZJEESdYtn/HeAZQIzJWnUVu12YUrbgjOsO58w7LS7NE09MYfz4W30W/Pn66y/56qsvyM09xbBh1zFx4t1VFs+RI4d54YVnycnJITy8Hk8++Rzx8U18yhw/nszjjz/ifZ+be4rTp0/zww8rARg9+noCAgIICLAAMGnSP+jR40rsdjuTJt3O66/PJSTkkm+wDXjW5zlLAdxl3P8BcKemaV+rqnoj8JWqqldomlbCFBwly8jILbZ4U00TExNKWjV52lcZil6f2+3G6XSXckTNYTIZatX1FFUV1+Z2u/32s1+bfu/Wr1+L3W7n8su7kJZ2qtKuzWBQyv1QRhIEUacEHPAsb25rMbzqKtV1Ihb3w5S+g8yx63DFXF51dddyO3f+QUFBvk9ysGrVCrZt28L8+f/B4XBwyy0jGTlyNNHR0VUS06uvvsioUWMYOvRafv75B1555V+88ca/fco0aNCQ99//2Pv+9ddfw+XyHaA2ffoMmjf3nYI3ICCAoUOv4dNPF3H77XddaqhJQN8i7+OA5HP2Nzh3v6qqMUAbTdO+BtA0bYmqqv8GooG0Sw1KCCHqisTEjZhMZjp37uLvUIqRBEHUGUp+BuZj69ANJuzNhlZhxQqOBt0xpe/Asvcr8mpYghDzxvn7tp666nUK2k8AIPCPhYSuvP+8ZdMmn/S+Dv+kH9lj15Q5huzsbGbOnMHBg/uxWoNo0iSB5s1bcPjwIYYMGeYt53a7mTdvDu+8sxCTyYTJZCImJpYjRw4RHR3NSy89T58+/ejTp3C10sTEjSxYMA+73UZ+fgF3330vAwYMKnNsRWVlZbJnz25mzfJMBnT11cN47bUZZGVlERERUeIxDoeDn3/+gddee6tMdQwePJTbbx9fEQnCCuDZMzf8p4EbgTvP7tQ07bCqqgWqqvbWNG0dMB74AUgHClRV7atp2i+qqvYGTmmaJslBLafrerGVd0Xdo+s1u+WvOklM3MAVV3QgKCjY36EUIwmCqDMCDv6IoruwNx6IbqnaZcttLUZg3bEAy8Hvyev1dJXWXdPpus7jjz/EddeNYNq0Fzl69Ajjxt3I7NlzWLp0CePG/c1bdseO38nKymDy5EnebQcP7vcO5HvssaeKnfuFF57l/fc/ISIiAqfTic1W4FNm6tRHSUpKKjG2efPew2IJ9L5PSUkhOrq+dx5xo9FIdHQMqakp500Q1q5dTXR0fVS1jc/25557CtC5/PKO3HXXvYSGevqlRkZGYTKZOXz4EAkJTS/wyV2YpmnHVFV9EliFZxzBfE3TElVV/R54WtO0LcBfgHdVVQ0DtgFvaJqmq6o6CnhTVVUrcApPciFqMaPRhMNh93Z7E3WXw2HHaJTbx0uVnZ3Frl1/cvfd9/k7lBLJ/7CoM1zR7chvfxuOhuUeT3nJHI164zaHYsr4E8PJw7jDEko/qJoo+uT/QgraT/C2JpSmPK0HW7Zswu3WGT58JADx8U2wWCy0bt2GtLRUIiIivWV3797JiBGjuPdeT0vGgQP7mTTpNuLjz/95h4eHM2vWywwadDU9e/YiONi3n2bRlVYrw7Jl33DddSN8tr399rvExsZht9t5443XmDXrZZ5++nnv/qioKFJTUy4pQQDQNO1j4ONztl1b5PVv+A5cPrs9EehxSZWLGiUkJJzs7DTCw2MwmwOkJaEO0nUdh8NOdnYaoaElP/AQZZeYuAld1+nRo+rvScpCEgRRZzjrdyL3qk7+qdwYgCNhEJZ9Swk4+CMFHS65e0idoWm7adu2nff94cOHiIqKJjQ0FIvFgt1u9+7Lzs4mMLDwif6qVSvo06c/ZrO5xHMrisKCBR+xbdsWfv75R+bOfZNPPlnic/NTnhaE2NhY0tNTcblcGI1GXC4X6elp1K8fW+Lx6elp/PrrNp56aprP9tjYOMAz5uD//m8Mjz32kM9+u92GxSJPckXVsVo9XSByctKLjZepiQwGA2537RykXJnXZjSaCA2N8P48iIu3adN6goODad/+Cn+HUiJJEISoIrZmQ7HsW4pFEoRyCQ8PZ/PmRHRdp6CggJkzX0ZVPStLNm/e0ju+ACAhoSk//OCZqerAgf0sW/YNc+cu8J7r+eefpl+/gfTvPxDwJBvx8U3o3r0nsbFx3H//pGJPRsvTghAREUnLlq1ZseInhg69luXLf6RVK/W83Yu+//5brryyD/XqFXZ5y8/Px+VyERISgq7rrFjxEy1bFq7K6nK5SE4+VmwAsxCVzWoNrjU3hrVpJpxz1eZrq002bdpAt249MJmq56149YxKiAoW+Pt8dLMVe/Prqnz8wVn2hKHoKBiz94PbCQb59SuLQYOGsnLlCsaOHUV8fBOioqJo0cJzc9y//0ASEzfSuXNXAAYMGMTy5T8yZswIwsMjmDbtRe/TePC0RowefbP3/eLFi9i+fStBQVYCA61Mnz7jkuOdMuUJpk9/hoUL5xMWFsbUqc969z3yyGQmTrybNm08LSLff/8dDzzwiM/xmZkZTJ36KG63G5fLTdOmzXj44ce8+3fs+I127dpXxDSnQggh/CAp6ShJSUf5y1/+VnphP5E7FFH76W6CN72IIT+NzL9sxOWnBEEPiibrr4m4IlrLWgjlYLVamTmzcIafhx66z9uCMHz4Ddxzz0QmTJiIxRJIYGAgM2e+WeJ5Tp7MITo62mdK1H/+88kKjzchoSnvvvsBUHw+8ldffcOn7OLFXxY7vlGjxixc+HGx7WctXbqEsWPHV1C0QgghqtrGjesB6Nmzt58jOb/au4ygEGeY0n7DkJ+GK6QRrsi2fo3FFalKcnCJNG0XrVt7ZvwJDg7hvvseIDk5uZSjICysHrNnz6ns8CqV3W6nY8dOdOsm44OFEKKm2rRpA/Xrx9K0aTN/h3Je0oIgar2AQz8DYE8YUm1uzpX8DPTACFAkRy+vZcv+6/O+W7eefoqk6gUEBDBy5Gh/hyGEEOIiuVwuEhM30L//VdV6NjC5OxG1XsDhMwlC0yF+jsQj9MfbiJrfAlPKNn+HIoQQQogqpGm7yMnJoUePXv4O5YIkQRC1mlKQienEZnSDCUfj/qUfUAV0SziK7vYmLkIIIYSoGzZt2gBAjx7Vu/VbEgRRqwUcWYWiu3E0uBLdElbu420OSM9ROJqmcPC4wt4kOJyicCJTITcfLmbFeXvCYE9sh/9bSkkhhBBC1CYbN66nVavWREfH+DuUC5IxCKJW083B2Bv2wt7smjIf43BCarZCarZCXoFv/8A8F2RnF+bVJiNEhbmJjdAJDSrj+Rv3RTeYMKVsQbFl+23aVSGEEEJUnYKCArZv38pNN431dyilkgRB1Gr2ZsOwNxtWprIuFySlKxzPMOAq4yKUThekZBlIyYLwEJ2EWDch1gsfoweE4mjQk4BjazEfXY295Q1lq0wIIYQQNda2bVuw2+1ceWUff4dSKuliJASQdQq27zOQlFb25OBc2bkKv+03cvC4gst14bKOJlcBEHBk5cVVJoQQQogaZePGdZjNZu/intWZJAii1jIdT8SUshXc579b13XPmII/DxuxOXy7E7lxs9fwO0sC5jLf8pzPvp/Ni1lv+p48coudMznDwO8HDeTZzh+bPWEQ4BkjIYQQQojab+PG9XTs2BmrtZSuBtWAdDEStVbwxhcIOLqKk8MWYmt9Y7H9LhdoRw1k5RZPDLYaV/FDwIekGI4CEKAH+uxfbl5MnnKKzwLepJfzOoY6xlFPj/SWyStQ2HHASJsmLuoFF4/NGdOBk0MXYI8fUDEXK4QQQohqKz09jT17NCZPfsjfoZSJtCCI2slZgDnZM5WYvXG/YrsdTvjjUPHkIFVJYnbgQ7wf+C9SDEcJd8cwxH4zE23PoOOZssiNi+vtt6G6OuNQ7Kw2f8Xz1ltZZ1rmLQOe8Ql/HjaSnlPCQiiKAZs6Bj2oes9iUBM88cQUdu3a6bPt66+/5NZbxzF69PXMn//vKo3nrbdmM2bMCPr06cr+/fvOW+7IkcPcddcEbrllFHfdNYGjR4+Uus9ut3P77ePJzS3eciWEEKL6Oju9ac+e1Xv9g7MkQRC1kvnEZhRXAc6oy4rdhHtu3A3k5vveuJ8kkxnWe9hv3EGoHs5fbA8zLf8jRjru5DJXdxQ85U2Y6eccweSCV3gi710uc/YgXznNx5aZvG/5F3YK+xa53bAnyUDGyeq7WmJNtnPnHxQU5NO27WXebatWrWDbti3Mn/8fPvzwM7799ivS09OrLKa+fQfw1lvvEBfX4ILlXn31RUaNGsPixV8yatQYXnnlX6XuCwgIYOjQa/j000WVeg1CCCEq1oYN6wgPD6dNm3b+DqVMpIuRqJXMR/8HgD3ed3E0txt2lZAcAIQRST/HCNIMyYy1PUAwpa+b0EhvziTbC2x2/pfFltnkKtmYzvm10nVPktAu4ZzuRm4nIasexJy8kayxa8FkKfd11hXZ2dnMnDmDgwf3Y7UG0aRJAs2bt+Dw4UMMGVI4S5Xb7WbevDm8885CTCYTJpOJmJhYjhw5RHR0NC+99Dx9+vSjT5/Cn4vExI0sWDAPu91Gfn4Bd999LwMGDLroWDt06FhqmaysTPbs2c2sWW8DMHjwUGbNepmsrCxAP+++iIgIBg8eyu23j+f22++66BiFEEJUHV3X2bRpPT169MJgqBnP5sudIKiqqgLNASuQBmzXNE3au0W1EnB0NYDP6sm6DnuOGTiZ55sc5HMaK5479+sdE1AweFsLykJBobtrME3yWxGs18OAsVgZtxu0o0auaO4iMODMRoMJ84nNmLI0zCcScTTuW86rrBodD1593n1To+5ndNh1AHxxchnTM14/b9lfmy33vh577B4+aTSnTPXrus7jjz/EddeNYNq0Fzl69Ajjxt3I7NlzWLp0CePG/c1bdseO38nKymDy5EnebQcP7ic83LPWxGOPPVXs3C+88Czvv/8JEREROJ1ObLYC32uc+ihJSUklxjZv3ntYLIEl7ruQlJQUoqPrYzR6flaMRiPR0TGkpqag6/p590VERBAZGYXJZOZT73TLAAAgAElEQVTw4UMkJDQtd91CCCGq1v79e0lLS6sx3YugjAmCqqpNgXuAvwKx4HP35FRVdS3wb+BzTdMuYm1ZISqOYjuJKWUrumLE0ai3d/vRNIWMc8YDrDB9xhrz10wueIVovWGJN/fgWeMgLFinfjQcVdxknjLgcPqWidMTvK9dOFlm/oDBjpsIIhTwjHvYdcTAFc3cnLn3wx7fH1PGn5iTVlfbBMHftmzZhNutM3z4SADi45tgsVho3boNaWmpREQUDg7fvXsnI0aM4t577wfgwIH9TJp0G/HxCSWeGyA8PJxZs15m0KCr6dmzF8HBIT77p09/uRKu6tJERUWRmpoiCYIQQtQAGzasB2rO+AMoQ4KgquorwCTgv8ATwCYgCSgAIoHLgQHAS8CTqqpO0DRtW2UFLERpjDkH0C31cIW3QLd4ugll58LRVN9mvS3GlXxlmQfAIcNuol0Ni52rXrBOswZugs88JI6JAYui43K5SM5USEoz4C5h3YQvA/7N/8xfccSwh0m2f2E8k3jkFSjsOWagTbwbRQFH4wHw61wCjq4hr2fFfQYVqeiT/wsZHXadtzWhNGVtPQDQtN20bVvYZ/Pw4UNERUUTGhqKxWLBbrd792VnZxMYWPhEf9WqFfTp0x+z2VziuRVFYcGCj9i2bQs///wjc+e+ySefLEFRChPJymhBiI2NJT09FZfLhdFoxOVykZ6eRv36sYB+gX0edrsNi0W6pAkhRE2wceN6mjZtRoMGxe8zqquytCCEAq01TUsuYV/KmX8rgKmqqo4B2gKSIAi/cdbvSMYdB1DyMwCwO2Bvkm9ycMiwmw8tnifDN9om0dV1VbHzJMS6aRSto5TQ28hohPgYncgQF9pRA/l230JXOcawxbSSXaYtfK2/yyj73d59mScVjqUrNI7RcTTqha4YMKVsAXsuBIScW1WdFx4ezubNiei6TkFBATNnvoyqtgWgefOW3vEFAAkJTfnhh+8AT+vBsmXfMHfuAu+5nn/+afr1G0j//gMBT7IRH9+E7t17Ehsbx/33T/JJDqByWhAiIiJp2bI1K1b8xNCh17JixU+0aqUSEREBcMF9LpeL5ORjNG/essLjEkIIUbHsdjtbt25m5MhR/g6lXEpNEDRNu7u0MkXKfn5p4QhRQRQDelAMug57jxmwOwtv+vI4xQLLNJyKgz6O6xno9F0jwWCAVo3cRNcrvbdcsBUub+4uNitSlB7LxIJneSPwEf5r/pxG7hb0cA7x7j+aZiAixEWwtR7O+p0xp2whIHk99qbn7+9fVw0aNJSVK1cwduwo4uObEBUVRYsWnpvj/v0Hkpi40bsq5YABg1i+/EfGjBlBeHgE06a9SGxsnPdcmrab0aNv9r5fvHgR27dvJSjISmCglenTZ1xyvLNnv8Lq1avIzMzgH/+YRFhYPT766DMAHnlkMhMn3k2bNu2YMuUJpk9/hoUL5xMaGspTTxUuxnehfTt2/Ea7du0JCZFkUgghqrvt27dSUJBPr159/B1KuZRrkLKqqtFApqZpJXSqEKIacOajuJ3oAZ5+/8fSFbKLrHWgo7PI8hqZhhSauFTG2O/1GZCsKNC6sZuosLIPpTGb4LKmbv44aOB0QeG5Wrmv4Cb7P1hsmc3HAa/R2NWcRnoL4Mz0p8cMdGjuxhHfH3PKFsxJayRBKIHVamXmzLe87x966D5vC8Lw4Tdwzz0TmTBhIhZLIIGBgcyc+WaJ5zl5Mofo6GifKVH/+c8nKzzeBx6YwgMPTAHAZDLgdBb+uXz11Te8rxMSmvLuux+UeI4L7Vu6dAljx46vwIiFEEJUlg0b1mEymenatbu/QymX8s619AXw4Nk3qqoOV1V1uqqqXSo2LCEujuXAD0TNa0Lw6kfJs3me1Be1x/Arv5p+IVAP5nbbVEz49k1v2bB8ycFZJiO0S3ATGOB7bF/n9fRyXItTcfCB5SUcFPaXzytQOJKqYGsxnNPdHsHWcmS5662LNG0XrVu3ASA4OIT77nuA5OSSekD6Cgurx+zZZR/7UB3Z7XY6duxEt249/B2KEEKIMli/fi0dO3YiKCi49MLVSHkThMvxjDdAVdV4YAkwAlitquqAig1NiPIzJ61B0V24g2I5kFx8ALHq7sSEgicZb5tCtO47WKhxjJv6ERc/CVeAGdrEuzl3iuMb7fcQ7W5IpB6Lo8giagDH0g1khnQh78qnccZ1vei665Jly/5LWFjhGhXduvWkWbPmfoyo6gQEBDBy5Gh/hyGEEKIM0tPT2LNnd43rXgTlTxACgcwzr0cDmzRNuwKYCjxdkYEJcTHOLpB2ot4Ack6XvJZBV9dVdHT5TilaL1inSf1Ln6E32OoZv1BUIFYezn+du2zPe6c8LWr/cQO6TA4shBBC1CobN3qmN60LCcIB4Ox8g6OAxWdefwN0qKighLgYhlNHMeUcwB0Qxm57Z59924yrOabsL/G4AJNO68buEmcruhjR9XQaRvkmCWFEesc6uHHjonARhbwChbSkE1i3v03gjvcqJgghhBBC+NX69WuJiIj0doutScqbILwDzFVVdT7QA/j2zHYrEHDeo4SoAuYzqydnRfbFWWT8faaSwoeWl3nJOokTypFix7Vq7Cag5GnyL1pCrE5QYPFmgWTlILMCH+BH88c+27OOJhHyy+NYf327YgMRQgghRJVzu91s3LieK6/sjeHcvsc1QLki1jTtTWAmEAfcp2na0TO7egCHKzg2Icol4EyCcCx0gHebjs7igNexKwV0cPUmTm/ic0zDKDfhlTBbpMEArRsVb5U4rZzigHEny80fk6YUDqzNCOmM0xSCKWsvhtzSB9wKIYQQovras2c3mZkZXHllb3+HclHKndJomvaWpmnDNU17p8jmKAq7GwlR9XQdc9IaANIiBng3/2HcyE7TJqx6MGPs9/kcEhhQMeMOzifYCvH1fbsatXJfQXfHEJyKg88D3kLHU79uMJNez9NH8WxLiBBCCCFqpvXr1wLQs2cvP0dycSqkzUPTtFc0TZteEecS4qIoCvuGrWHzZe9zKtgzR74TB18GzAXgWvvfqadH+RzSvIEbo7Fyw2ocrRN8TlejkY47CdSD2WnaxO/G9d7taRH9AbyJjhBCCCFqpg0b1tG6tUpMTH1/h3JRal6nKCFK4HTB/lMNOBY7hrP9elablpJqOEasO57+zht8yteP0IkoPqFQhVMUTyJSVD09kuvtEwBYEjDXuzbC2ZYP0+HVyLRGQgghRM2Ul3ea7du3ceWVNW/2orMkQRC1QnKGgt1Z2OHfiYMV5s8AGGWfhLHIoGWTEZrGVt1i4GHBEBvhW19f5wji3AlkGI7zi8kz1v9kSHts5mjMeUkoWQeqLD4hhBBCVJzNmzfhdDro3btv6YWrKVPpRYSo3uw2Fy2WXUVUaEd+b/0aboMFE2amFLzFFtNK2rt8V52Nr+/GXMU/+QmxOpmnwHFmdlMjRkba7+B9y7+805+iGDgePRyLI53sDDvRkVUboxA1mel4Ipb936AUZKMHhmNrMQJng+7+DksIUQetW7cWqzWIjh07l164mir3bZKqqk0Ah6Zpx0vYnqRpWtU9mhUCyN73O41ObcfsyMJtsHi3R+qxXO0Y61PWatFpEFn13XfMJmhS383+5MJGu/aunkzLW0QwhasC/9rWM82pyQn1nK4qT2RqoieemML48bfStu1l3m1ff/0lX331Bbm5pxg27DomTry7yuJ5663ZrF69kuPHk1m06DMSEkpe5fnxxx8mOTkZg0HBag3iwQen0KqVCsCRI4d54YVnycnJoV69ekyd+hzx8U2w2+1MmnQ7r78+l5CQSph+qwYypu8kdMU9mFO3+2wP2vYGjvqdODV4Dq7oy85ztBBCVLz163+hW7fuBATU3BUALqaL0SHgv+fZ/puqqv0uJSAhyqPADsrhs7MXeQb57jPswE3JeWqzuIpbEK28YiN0rJbC5ERB8UkOinK6PN2mxIXt3PkHBQX5PsnBqlUr2LZtC/Pn/4cPP/yMb7/9ivT09CqLqW/fAbz11jvExTW4YLknn3yODz74hIULP2bs2L/y4ovTvPteffVFRo0aw+LFXzJq1BheeeVfAAQEBDB06DV8+umiSr2GmsKYvpPwL4YVSw7OMqduJ/yLYRjTd1ZxZEKIuurIkcMkJR2lV6+a270ILq6L0W1A9nm2N8ezTkLXSwlKiLI6mmagReb/AM8g3yTDfmZZHyDBpfJIwZsYKJymKCKkagYmn4+ieLoa7T7ie+PvxMFa0zIyDScYZb8boyuPyJyNZNlVGkTGVfgibuXlrn/+G13l1ZdR/jYeAP0/H6I/8uh5yxpSCxsd3YOvxrBieZljyM7OZubMGRw8uB+rNYgmTRJo3rwFhw8fYsiQYYXndbuZN28O77yzEJPJhMlkIiYmliNHDhEdHc1LLz1Pnz796NOnv/eYxMSNLFgwD7vdRn5+AXfffS8DBgwqc2zn6tChY5nKFW0ByM3NRVE8z2uysjLZs2c3s2Z5WpMGDx7KrFkvk5WVRUREBIMHD+X228dz++13XXSMtUXoz5Mw2HMuWMZgzyF0xT1k3yLTBwshKt/69b8A1OjxB1COBEFV1eZANLAB2H/ufk3T3j/z8ukKiUyIUuTZICPTTvdsz1Sh6ZH9+db8OgDN3e19kgOAhDj/936LCtOpF6yTc7owSchW0lgS8DY60McxnKHa8ySc+IgdrWaQ3PAemsbV7RmNdF3n8ccf4rrrRjBt2oscPXqEceNuZPbsOSxduoRx4/7mLbtjx+9kZWUwefIk77aDB/cTHh4OwGOPPVXs3C+88Czvv/8JEREROJ1ObLYCnzJTpz5KUlJSibHNm/ceFkvgRV/bSy89T2LiRgBeffUNAFJSUoiOro/xzBy8RqOR6OgYUlNTiIiIIDIyCpPJzOHDh0hIaHrRddd0puOJmNN+LVNZc+p2TCc244zrVslRCSHqunXrfiE+PoH4+CalF67GSk0QVFW9HM8iaG0ABdABu6qqicCnwEJN0/IrNUohSpCUZiA8ezMmdz45we34MzCNP0ybsOhWhtrH+ZSNCdcJvvj7uArVNM7Nb/sLk5dovSE9ncNYb/6e7wM+pEtEPxJOfERM5v9IzLyPBlEuLH5sRSj65P9ClL+N97YmlHrOcrQebNmyCbdbZ/jwkQDExzfBYrHQunUb0tJSiYgoHM29e/dORowYxb333g/AgQP7mTTpNuLjE857/vDwcGbNeplBg66mZ89eBAf79u2fPv3lMsdaXmcTlh9/XMacOa97k4TSREVFkZqaUqcTBMv+b4ptW7rfysDGBdSzFE+qLfu+kQRBCFGpbDYbmzcnMnLkKH+HcsnKMgZhIZAMDATaAd0AN5AEPA7sU1V1YKVFKEQJ8m2QnqMQk/U/ANIj+rMs4AMArnLcSCjh3rKKAvEx/m89OCvEClH1fG9ghjn+glE3scX4X36LbgVAVPZadKeTY+l1eyyCpu2mbdt23veHDx8iKiqa0NBQLBYLdrvduy87O5vAwMJMcNWqFfTp0x+zueQMS1EUFiz4iOHDb2Dt2tX8/e9j0c9Zg2Lq1Ee59dZxJf47t7XhYg0bdh3btm0lJyeb2NhY0tNTcblcALhcLtLT06hfP9Zb3m63YbFYzne6OkEp8O3p6nTD/WvCeXdnyYO3FVtJPWOFEKLibN++lYKCfHr1qrnrH5xVli5GlwGXa5q27+wGVVXdwFN4BibfCXyhqupwTdM2VEqUQpwjKd2ArsOJ6Gsw6HbWNGiLZpxPoB7MVY4xPmXjIt1Yq9m9VHyMm4ycwlaEKD2OK53XsNb8LUtDfmJMUCtC8/YSfmobKabuNIr2byuCP4WHh7N5cyK6rlNQUMDMmS+jqp7Vsps3b+kdXwCQkNCUH374DvC0Hixb9g1z5y7wnuv555+mX7+B9O/veaZx+PAh4uOb0L17T2Jj47j//kko54xir4wWhLy8PE6dOklsbBwAa9euISwsjLCweiiKQsuWrVmx4ieGDr2WFSt+olUrlYiICMCTMCQnH6N585YVHldNogeG+7w3GaBNpIPElJJnDdEt4SVuF0KIirJ+/VrMZjNdu9b8KZbLkiDsw9O9aN+5O85MafpvVVVtwMtAzR6RIWqEAjukZXtu4rLDupAd1oVPLY8BMMAxkiAKnyAaDdA4+uL78OsOB8qZp8+6w0HB4s/RT9kgLhaaNIG4OBRD+ScDCw70dHs6ex3gaUXYaPqRbcbVbGzQkyH79xKT9T+y6nUnOV2hWYO6ORZh0KChrFy5grFjRxEf34SoqChatPDcHPfvP5DExI107uyZF2HAgEEsX/4jY8aMIDw8gmnTXvTehIOnNWL06Ju97xcvXsT27VsJCrISGGhl+vQZlxzv7NmvsHr1KjIzM/jHPyYRFlaPjz7yLNr3yCOTmTjxburXj+Wppx6joCAfg8FIWFgYM2bM8iYnU6Y8wfTpz7Bw4XxCQ0N56qnnvOffseM32rVrX+enObW1GEHQNt8uWd1j7XyyJwiHG8zn/FraWo6owuiEEHXR+vW/0LlzV4KCgv0dyiUrS4LwMrBAVdXbNU377jxlVgJvV1xYQpxfUppC0V4gOjptXF1IMyQz0HGjT9m4SHe5ZgHSs7LgvyvRf1kLa9dC69Yon5yZUtJmI2fsBN8DrIHo3bqj9OsLw69FaV7ynPcliY9xk55j9F5LhB5Db+dwVpu/4vNGVobsh5jMVexp+igpWQYax9TNdRGsViszZ77lff/QQ/d5WxCGD7+Be+6ZyIQJE7FYAgkMDGTmzDdLPM/JkzlER0f7TIn6z38+WeHxPvDAFB54YAoAJpMBp7Owe1vRMQbvvPP+ec+RkNCUd9/9oMR9S5cuYezYso31qM2cDbrjiOnoM1C5e6yd9/4M4Y8MM51iHN7tjvqdZPyBEKJSnThxnH379nrHy9V0pd5uaJr2oaqqscCXqqruBj4HjIAZQFVVM3AvcKwyAxUCPK0HqdmeR4Pxxz/C7DxFcv2RDGIMA503YigyrMZggIZRpT91191u+GUt+sefwLLvoUifdkKLrFNgNGK5+UZspwvg+HE4fBjSM2DNGvQ1a1CaJkA5EgSrBeqHu0nJKox5iONmmrva0V1vj867WBxpoLtxuQ0kZygkxNbNVoSiNG0XrVu3ASA4OIT77nuA5ORkmjW78GcfFlaP2bPnVEWIlcZut9OxYye6detReuE64NSQuYR/Mcw71Wn3WM/vbmJKgDdBcAfU49Tgmv3/LoSo/tat80xv2qdP7VgOrEzPIzVNe1VV1WXAFOAhIBD4U1XVU4AVKADGXeAUQlSIY+mFrQctjr5NeO7vnAxuQ4GlgU9yABAXUcbWg9dmob/yque1okDfvihXDYR+feCywqfNitVK+OIPSEs75d2mp6XDunXoGzfB0Ku9293PvwBGA8qku1HO9B0vSeMYndRsfFoRurquwm2Gn3rvpcBSuAbBiUwDjaJdmIznOVkdsWyZ7zqN3br19FMkVS8gIICRI0f7O4xqwxV9Gdmjf/SupBwb5KZpqJPEEwHc1f60rKQshKgy69b9QlxcA28X2JquzB0WNE3bBdymqupE4ApABeoB6cAqTdOyKidEITxsjsLWgwB7OuG5vzPlipacijlEf9dprBT2+TMYoOEFxh7odjvK2SXQx94Mn36GcsvNcMtNKI0blzkmJSYaRt6AMvKGwnOnp8O8d8BuR1+wEO7/B0y62zuWoajAAM9YhNSs4jMVpQQGYNCzCMWTYDhdcDxTIT5GWhGEOMsVfRnZt6zGdGIzln3f0Pn3tazanUHmmM9xNaj5AwWFENWfw2Fn06b1DBt2XbGJLmqqcvdoPjMw+dcz/4SoMsczFNxnunNHZ/+CFmLl44RoTPqn9My/HqtemCDERrhLnPVHP3kS/V8vwfbtsOxbFJPJkxAkbriowcYlUaKj4asl6C+/AqvXoE//Fyz5El59BaVb8UXGG0W7Sc3ybRbYYPqRxQGz6eu8nrGnb8FhjjrzGRhoGOnCWMdbEYQ4lzOuG864blye9gVfbpnKfls0Tf0dlBCiTvj11+2cPn2a3r1rR/ciKMM6CKqqdinryVRVDVTPjh4UogI5XZ4uNmfFZP2PN1s1AqCX8xrC9WjvPoMBGpXQeqCvW4/edwC8txB2/AFbtnr3VVRy4D1ft64YPv8U5bPF0LQp7NqNPnwE7qefRXc4fMoGWSD6nHURmrha4VQcbDAsoVtiK8wOzxzuDiekZFf+04lz1wIQNUdd/7/r1KkzANu2bS2lpBBCVIy1a9dgMpnp0aP2dHkty13R16qqfqWq6lBVVUssr6pqI1VVHwP2Ar0rNEIhgBOZCq4ia53Z8tbwTcMoDLqBwY5bfMrWD/dtPdBdLtwzXkEfNdozuLhLZ5QVy1F6Vv5AT2VAf5TVK+HB+8FohL17Kenxf+No34XcGuktaO/sSYFR4b1m9YnKXuvdl5xe2JJSGQwGIy6Xs/IqEJXK4bBjNNbB6a7OSEhoRkREJNu3S4IghKga69atoVOnzgQH157pp8vyLaICjwEfAYGqqm7HM2NRARCJZyG1ZsD/gLGapq09z3mEuChut6d70VnWgiQ+bmjDZVDo5hhAlF64wqyi+LYe6JmZ6BPvhLXrPDsfegDlkYdRTFV3A6VYrSiPP4Z+9dWQ0MTbWqG7XChnkoVgK0SG6mSeKrzOoY5x/GHayPtNYxm2awXEDAfA5lBIy1GIjaicJ8VWawinTmUTHh6FolRsy4qoPLqu43DYyc5OIzT0/APjaztFUejUqYskCEKIKnF2etOz01vXFmWZ5vQ08JSqqtOBa4B+eBKCCCANz/oHP2iatrsyAxV1V1qOgt1ZeOOc7z7OogTP7D6Dnb6tBzHhOoFFF1L9/AtPchATgzL3bc96BX6idOnsfa3b7ei3jIPBg2HSXSiKQuMYN5mnClsXmrsv4zJbM3ZaDvJz8GZaFTnXsXSF+uE6lTEWKiSkHllZaaSkJAFlS0IMBgPuymzWqKGq+nMxGk2EhkZgtdb8RXouRadOnVm58mdSU1OoXz+29AOEEOIi1bbpTc8qzyxGNmDpmX9CVAld99wMF7UmLJkCI7R1dqWxu4XPvkbndNXhzjsgOwdl/F9QGjas7HDL7n+rYe069LXrYN9emPESoUFmwkN0snMLr/cq10R28iSLGhmYlncEt6UJAPk2hcxTClFhFd+KoCgKkZH1y3VMTEyoz/SvwkM+F//o1MkzGcD27dsYOvQaP0cjhKjNatv0pmeVq/+AqqpPqao6XFXVRpUVkBBFZZ5SyLf5Jgh9nSO4p+BFrnf4rmocGaYTZAF9+c/oKamA52bX8M8p1Ss5AJSrh6C8Ow8CA+Gjj9FvvwO9oIDGMb4Jjqr3oE2ugctzTmM5ucJnX3J67ZhKTYiKpqptsFqD+PVX6WYkhKg8Z6c37d27b62Z3vSs8nbEHo5nPEKgqqqZwPYi/34FNE3T6vYUGqJCndt6EGhLJiRvL5fX64nbYPHZ1yjKjf7xJ+gPPQKqCt9/hxIcVJXhlotywwho1Ah93F/hx5/Qx/2VsP+8T2hQGKfyPNetoDDj6FC67nuGww02sz3mNu/xJ/MUTuVBaPW9RCH8wmw206FDR7Zu3eLvUIQQtdivv26rddObnlXeEYgLgCTgEeBZ4CBwH7AI2AmcUlV1vaqqb1dkkKJuOnka740ygBsXxsz/0Gf7tXTYPdmnbGiQTuji99AfeAjcbpTrh0OQtapDLjelaxeUpV9C/fqeLkejb6JRQI5PmYyYm9hwxRJ2tHq52PFJ6TKIWIiSdOnSjb17NU6ezCm9sBBCXIRfflmD2WymZ88r/R1KhStvC8IzwI2apm08u0FV1eeBz4BZgBHoCHSosAhFnXXsnJvf340bWNDiZyYqTRiu9/fZ12zFf9CnPgmA8sLzKHdMrLI4L5XSri189w366JsgNpaIGAvWPJ18uyc5yrc2Ic8az37DH+w0buIGR+G1ZZ5UyLN51lIQQhTq3Lkruq6zfftW+ve/yt/hCCFqobVrV9OlSzeCgmrfxBDlTRDCgYyiGzRNS1JV9QngSU3ThgCLKyo4UXedLsBnyk8dnRXmT3Ar0DjfTmrDgd59DVd9RvD0R4GalxycpTRNgGXfQGQkitlMw2id/cmF12+ngH8HPkm+cporXL1p5i5cj/B4hkKLhtKzT4ii2re/ArPZzNatWyRBEEJUuGPHkjhwYD+jRt3k71AqRXn7JyzHMwbhXEeB2te+IvwmOcP3R3O/4Q8OGncTbndybUYENotnmtPgPb/R5IXJoOsoU5+skcnBWUpsLIrZs8Jb/YDTJPxnBoq9AIDo3IOMOe5JGFaYP/U5LjXbgN13cWYh6jyLxcLll3dg2zYZhyCEqHhr164BoG/f2jf+AMrfgvAPYKuqqt8CrwLbAAswFThRwbGJOsrmgLRs38HJK8yfAfD3QyfICxvh3e5oeznKnXdCSDDK5PuqNM5Kdf/9NPz2OywHNPY89S66YuT+P1bzSVxnfjOuJVU5Rn3dM5mY2w3HMxUSYqUVQYiiOnfuysKF75KXd7pWdgEQQvjPL7+sJj4+gYSEZv4OpVKUqwVB07QkoCvgBFYC2UAKcBPwaIVHJ+qk4xkKepF73RPKEXaY1hPg1plwMIXUyMLuAg2iQXnuaZQpD/sh0sqjPPQgelgYUWu+o9lbT5BrbUU9PZpRSWnois4q8xc+5U9kGnC5/BSsENVU585dcblc/Pbbr/4ORQhRixQUFLB588ZatzhaUeWeAkXTtKOapv0f0ADPtKfXAU01TfuyooMTdY/T5bnZLeq/Z1oP/i+5gCiHTu7pRrSdMobArBTiInUURal18w8rl7XD8J+F6AEW4r5eSKNFs0iLHMBd+48DsMH0E7kUzs7idEFKdu36DIS4VB06dGhplkoAACAASURBVMRoNEo3IyFEhdqyJRGbzUbfvv1LL1xDXfQciZqmpWqa9oOmaT9qmpZWkUGJuutEpoKryFphOjpu3Bh1E2rEp6xst47WT04kfOtqWn30Iiaj/2KtbEqvXjjfehvdYKDJwhmc/jUINTefPplGHIqN1eavfcqf2/IiRF0XHBxCmzbt2LZts79DEULUIr/88j8CA6106dLN36FUGplEXVQbbrfnJrcoBYXx9kd5Ie9TGuRH/j979x0fR3E+fvwze/3Uu9y7FnDBRe6WOwZDgNBDSQIJECAQCElIQkJCCaElhJKQEPhSA4Tyg1BccJU77sZ93W3JltWsfrq68/vjZMlnCYyMrFOZt1966W5nbu/Z00ne53ZmHno/9EucRw5QPWAIjicejlKkrcfx3Yso+s0TACS98j7+PI17du5khu9KxgdnRvT1+gUlFeoqgqKcaMSIbLZs2YzP54t2KIqidABSSpYtW8Lo0WNwODruGuMqQVDajOIKgT/Y9AluSq2PAX++nbidG/Bm9qTkhbdwJHaOSYdxP7mB/OvvoWTqd6keMJixpaXcUtiPRJnWqO/JlacVpbMbPnwkfr+fbdu2RDsURVE6gP3793HkyGEmTOi4w4ug+asYKcoZIWXjk9tNlmVYsZNd05Xxjw7Gs9JOMC6RHY+/w1l6apQibX2xLjh416/Jq9HwH/0PBf4iqtxnAeHq0iDQ6nL9Gq+gvBoSY6MYsKK0IcOGDQdg/fq1DB+eHeVoFEVp75YuzQXo0PMPoAWvIOi63lPXdXVFQjktx6oEtb6GBCFEkA/sL/BP5/14Nj6BZ6UdqYHxx//DPbA/Mc4oBhsFXdMAITjU5fvsTfsJqe+8zUZzPg+7bmKzZUVE35MrUCtKZ5aQkMiAAVmsW6fmISiK8u0tW7aYrKyzyMzsEu1QzqiWPJM4AHyp63rHXfNJOWNOvnqw3rKYMq2IDLMnI2PLiJ3ip/KG71A5PIeuqeZX7KXjSoqDGGd4BnLWw7fQ/T9PM/7pf1As8llgexdJw+zk8mpBTW20IlWUtic7exRffrmRQMAf7VAURWnHKisr2LRpIxMnTo52KGdcSyYIPwI+Ap5uwX0qnUBlDVR5GhIEiWS+PVwt+DzflWSU5RIzPsCBq39PnFuS0DmmHjTSLTWcBJRcey3SbuXc2Sv5wbs17LfsYK+2NaJvvrqKoCj1srNH4fXWsm3b1lN3VhRF+QorVy4nFAqpBKE5DMN4zTCMPxiGoQZ5Ks1y8pCY7Za1lAT28ujDxVy004s9WE61qz8ed1+6pnTedTxTEyQOmyQmtYTE71QDcNdzBxm+obq+0vRxpZWCWrVoi6IA4YnKEF67XFEU5XQtXZpLUlIyAwcOjnYoZ1yzEwQ9bKau65frup6j67qaDqmcthpveP7BiRbY3uW+vx5h5qyj9HviQaSEwpTzcDkkKfGdN0EQArqmSoqSp+M8J4RznMASMnni/jwKS5dwVBys7yslFBxTKxopCkBSUhL9+w9g/Xo1D0FRlNMTDAZZsWIp48fnYLF04CJMdb5RgqDrem9d15/Udf0IsB2YBXwALAGO6bq+SNf1q3VdV2ckSrMcKY18Cx7UdnL2rEVc/nEZIbsD56UxCBFOELqlSjpYweRmy0iUBGJ7UuXWiZ9cTc2QIaSUBXnqtwdZbL4d0bewTMMfiFKgitLGZGePYtOmjQQC6pdCUZTm27LlSyoqKpg4cUq0Q2kVp0wQdF1/CtgK6MD9wCAgAXAAXYALgZXA48AmXdeHn7FolQ7FF4Di8sgz/r47j/G7pwoB2H/PU6y6cB6rB79DZWoOaQmd9+rBcRYLZCabFKZMR2gQvHEEnowu7O7vYq91K0EaTn5MU11FUJTjsrNHUVvrYceObdEORVGUdmjp0lysVitjx46Pdiit4pvUQYgDsgzDONJEW2Hd1wLg97quXwWcDWxouRCVjqqgVCBPOOe3Vhxj8B/vwuoPcvTiH1B8wffC/dIuoVe6iaapBAGgS7LkUMp0+uf9g7TAClb8axHVSfn8NjQQy0m/0kePaXRPDdEJroYqp0nX9euA3wM24BnDMP5xUvtQ4GUgHlgK3GYYRlDX9S5127sCHuB6wzAOtGbszXHiPIQhQ4ZGORpFUdqbZctyGT48m7i4uGiH0ipOeQXBMIzbviI5aKrv+4ZhvPXtw1I6umAofPJazzTp/9jtOAvzqNaHceCnj3I8e7BokJmskoPj7DbQ+ownpDlJqtqI5goxwDwXC1Ys1ZW4922v7xsMwdEydRVBaZqu692AR4EJwFDgVl3Xzzmp23+AOw3DyAIEcEvd9jeBTw3DGFZ3+4nWifr0JCcn06/fADVRWVGUZjt8OJ89e3Z3+OJoJ2rWJGVd10edqUCUzqXgmCB0QjmDKlHOe2MOU50cx84HX0barExbPZwR226ia3w1VvUJeIQu6U6OpH+XQ5nXYg15ALAXFzDwjvMY8OsrsB0rrO9bUCowO1/pCOWbmQ4sMgzjmGEYNYTnll15vFHX9V6AyzCML+o2vQZcpet6KnAu8GLd9lcJX4Vo07KzR7Jp0wY1D0FRlGZZunQxQKeZfwDNX8Vooa7r5zXVoOt6J12dXmku04SjpZGfai+xf8yL1zu4990rCWT0IKlyHXGeXSRXrCEjvZOVTf4GXA44OPZlNpzzMh5XbwAOJ3sx0opxl5bS/+GbEcHwSZAvICiuUFcRlCZ1BQpOuF8AdP8G7f2AQ8BfdV1fSzixaPNVyEaMGIXH42Hnzu2n7qwoilJnyZLF9O7dh169ekc7lFbzTeYgnOjnwP90Xb/RMIz3AXRdtwC3Ef70qGPXnVZaRFG5wB8Mn7A6jh7CZ9aypP/HAOTYbgATupTMAqCi+4U47OrktindU01KKhouraRaevPcw5N46qbPSdu8mp4vPcLB2x8GwpWq0xPVKlBKIxpw4vg9AZjfoN0KDAP+aBjGvbqu3wy8Dkz+pk+cktL6K2Sff/4U7rsPduz4kqlTJ7TIPtPSOvZ45I58fOrY2q/WPL6qqirWr1/LzTff3CrP21Z+ds1KEAzDeFnX9WLgrbpLzCXAn4EM4JkzEJ/SwUgZPlkF0Hy1ZP3hJixH99LvmS5Un5NNP3MQAJklswGwnDUzarG2dTEuSHVUYM9bSJVbpyp2ICPjb+S+P+/gpdv30/X9f1F99ghKJ19KrU9QWilIVStBKZHygZwT7mcCR05q79JE+1GgyjCMz+q2vw0815wnLi2txjRb+/3ooG/f/uTmLuXqq3/wrfeWlhZHcXFVC8TVNnXk41PH1n619vHNmzeXQCDAyJHjz/jznqlj0zTR7A9lml0ozTCMj4GHgX8Qnrz2CdDXMIw/NHdfSudTXC7w+gVISZ9nf0Psni0cS5Ds7+1geuAaBIIYz17ia3YQtCag9RoX7ZDbtIH5TzJq6/fpVfA6AENDEzgyOIu/3pMJQL8n78a1fyfQkJgpygkWANN0XU/Tdd0NXAHMPd5oGMZBwKvr+vF1/b4PzDEMYy+Qr+v68Qz+YmB9K8Z92kaNGs3GjRsIBNr8iChFUdqApUsXk5CQ0OlWP2vuJOUhuq5/SviqwceAFygyDKPkTASndCxSQn5x+CQ1fdZ/SJ/7DgGHnXsf70ZsTB+GhMLJwPGrB7U9p4PFFrV42wX9QgC6FM8CKdGwMC1wFe9elULujO5YvB6SV4bP96prBeXV0QxWaWsMwzgM/A5YDGwC3jYMY42u67N1Xc+u63Y98Ddd13cCsTRcKbgc+LWu61uBu4EftW70p2fkyNHU1nrYunVrtENRFKWNC4VCLF++hJycyVitzR2V374192g3Ev6PZLRhGOt1XR8JzNJ1PdMwjJ+3fHhKR1JSIaj1C2J2bqTP878F4NVfjWd3Vgk/9F6PVpevHk8Q5IALoxZrexHMHEnQmUqM9wBxNTuoij2HMcHzmWV7nfvvlzwy4Qe4J9xT3z+vSCMxVi1ppDQwDONtwkOETtx24Qm3vwQarWBnGIZBM+YctBUjRoxECMG6dasZNkzV9VQU5att3ryJ8vLyTrV60XHNHWJ0sWEY0w3DWA9gGMZaYCJwua7r/2nx6JQOQ0rILxFYK0rRH/wxWsDP0UtuZODUd7jN+ydGhBp++bYMeIKSYffj7zU9ihG3E5qFQJ8LAMism9htw87U4BX0smdTMvGEJCsUpNKjriIonVtiYhJZWWexZs0Xp+6sKEqnlpu7CKvVxrhxLbOoQXvSrATBMIzZTWzbSbjIzrCWCkrpeEorBR6vIG7rWmylR6k6ewQH7ngEDY3BobFYaFiNx0wfjMz5DdKZFMWI2w9/37phRiUNv57TA9fwM+9T9DSzAHDv3cbQH00kfsNS8oubPfVIUTqUUaNG8+WXG/H5fNEORVGUNmzp0sWMGDGS2NjWX3Ut2k55pqDr+ohT9TEMIw/I0XXdqev62S0SmdKhHJ97UDb+Arb97X8sfuh+ShzlTfbtnqZW2mkOf88pSIuDpMq1OHxHAeqHax2XvGwWrrw9ZD3yE2r3H6GiJhqRKkrbMHLkaPx+P5s3b4x2KIqitFGHDh1k//59TJo0OdqhRMU3+SjxY13XP9J1/Xxd15vsr+t6N+BWYDcwvqk+Sud1rAo81cH6+1WDRvJ/3d/iQdf32altqN+umT5yvryI7sZfwAxFI9T2yRaDv8dkapOH4fAXRTTlabv5t+MPLPnhDMqzJ2OrKCXrwR+Tn68qySqd1/DhI7FYLKxduybaoSiK0kbl5i4EYPLkaVGOJDq+SYKgA1sJL2laoev6Ul3X39F1/VVd1z/WdX0P4Yqa5wHXGobx8hmMV2lnpISj6w8y9PtjSFoRXk1nu2UNeZbdxMh4+poD6/umH1tISmkuzt0fgmb5ql0qTai88E2qrsvFlzw4YvuXlhV8aV3BbNfb7P7dv/Bm9CBu5waSnvy9uoqgdFqxsbGcffZANQ9BUZSvlJu7iKyss+jatVu0Q4mKUyYIhmHUGIbxANCd8BrY6wAn4eI5lYTrIQw0DGOaYRjLz2SwSvtTetRDj9/chLMwj7R57yKRzLGF57NPD1yNHUd93x4lHwLgG3BZVGJt16xONA26pUYOz5oauAKndLPTsp5dSQXseugVTJuDzE/foOqVd6MUrKJE36hRo9m6dTMej8qUFUWJVFZWxqZNG5g8eWq0Q4mab7zMqWEYPuB/dV+KckqmKeGXvyJm3w5qe/Rn733Psd2yhv2W7cTIeCYEL67vq5k+MovDq/D4Bnw3WiG3e13N7VR6/JS4w8s3uoljcuAy5trfYo7tTfpmPc6+e56g/1P3kPnEb6iamUNc/65RjlpRWl929mheeeUlNm3awLhxOad+gKIoncayZbmYpqkShObQdX0g4XkGAlh3fMlTRTlZzd9fIXn+h4ScboyHXiUYE8untlcBmOG/Fieu+r7dKhdgCVQSTB1MKLF/tEJu1xy7PiB+7o84t8s0Fp79Sf32KYErWGT7f2y3ruVAYCfMvI6YvdupPnsYfq07g1F1EZTOZ9iw4VitNtasWa0SBEVRIuTmLiI9PYOzzx546s4dVHMrKd8BbAaeBB4F1uq6vlHXdVVtRolgrl6D+7EHAdh737PU9tb50rKcPMtu4s1kJgYviejft/wjQF09+Db8PaYghYXYo7nEmA3FzWNJYFIg/LrOsr0OwIE7/0TJtCuo9AiOVUUlXEWJKpfLzZAh57Jmzapoh6IoShvi9XpZuXI5kyZNRQgR7XCiprkLot8PPAUkG4aRCvQHVgHL6q4sKAoyECB0252IUJAjV91G6eRLAcg0ezI0mMPMwA3Ycdb3d1u9JOTXDS/qrxKE0yVdKQS6T0TIEHrtpxFt0wJX4ZAudlk2UiqORrQVLd2G+W+1toDS+YwaNYYdO7ZTUdH0ksuKonQ+a9aswuutZcqUzju8CJqfICQBLxqGYQIYhrHPMIw7gGcJT1ZWFKTFxu4HXqR42uUcvPUP9dszZS9u8T1IzklXD7qnQfXUZ/AMvYNQ0oDWDrdD8Q24HICMgo+wWxsmLMeRyI2++/lj7eukyMz67dbyEvrdfgn8/gHkvPmtHq+iRNPo0eOQUrJ27epoh6IoShuRm7uImJgYsrNHRzuUqGpugrAGGNzE9peBUd8+HKUjOFomKMvKZs/v/gUWKyYmkoaTVUHDJTu3U5KabMOXdSU1Ex+PRrgdiq/fd5DCgj1/CT3jSyLahoTGkSwzIrYFE1PJv+FeAOQddyL37W+1WBUl2gYNGozb7Wb1arXcqaIoYJomS5fmMm5cDna7PdrhRFVzE4S5wL90Xc8+aXs/4EjLhKS0V/Ltdwh+/Bn5xZFvq1XWOTzjvJf92o5Gj+mZLunEQ/xanHSlEOgxGWEG6Vn8IU5746rUJiabLMswCRejO3LtXRwbPxMqK5E3/Rjp8bR22IoSFTabjREjRqp5CIqiALB162ZKSoo7bXG0EzU3QfgTkAms1nV9oa7rf9F1/WngX8BdLR6d0m7IVauQv7wP7ZZbsBlb67cH8DPH9h/2WDZTKgoiHhPrknQp/Ii4eT/BWqgWw2op3rO+h2mLQwtU0SOtcYLwb8cfecn5IGusC8IbhGDPr5/H26Mf7NiB/MWvkLLx4xSlIxo1aiwHDx7g6NGCU3dWFKVDW7x4IVarlZycidEOJeqamyDEAqOBO4DdwETgNqAP8JKu65/puv6orutXtmyYSlsmD+Uhf3QzBIMUXH07nn6D6ttybR9RphXR1ezD8NDkiMf1TDdxbX0V5853sBZtauWoOy5f/+9SevNuarN/TlqixO2MPNkfFgov6fiZ7TUC+AEIxcaz88FXMV0u+H8fwr9fau2wFSUqRo8eC8Dq1eoqgqJ0dosXLyA7exTx8QnRDiXqmpUgGIbhMwxjrWEYLxqGcZthGKOAOOBcwisc7QEmAOrsopOQ1TXIH9wIpceoGTeVA7c0TEqupoLPbW8BcJn/J2gnvN0SYiQp4gi2vFykZlfVk1uS1QE2NwBChIdxnWhkcBpdzT6UaUUstzasdlTb5yz2/upZpNsNPXq0asiKEi39+w8gOTmFNWvUPARF6cz27dvLgQP7mTJlerRDaROaXSjtZIZhhIAtdV9vfOuIlHZDmibyzrtg+3bMvv3Y9psXwWKpb59tf5NaUcPZwZGcExoZ8die6SaOHe8ikPj6Xoh0Jrd2+B1fwIP9wOek9L+UeLeg0hOe7KFh4RL/j/iX8wHm2P/D6OD5uIkFoGTyd9EmjGXA0NRoRq4orUbTNEaNGs3q1auQUnbqdc8VpTNbvDg87LYzV08+UXOHGClKg2eehdlzID6eXX9+k1BswyW5QpHHMusnCKlxmf/WiIelJEji3RLnzncA8J51bauG3VkkvT+dhDk/xJa/nF4ZkdWSB4XG0j80hBpRyRx7ZF5fZM2goiZ8W65dhywsaq2QFSUqRo8eR0lJMfv27Y12KIqiRMnixQsZOHAwGRmZp+7cCagEQTl9M2ZA926U/fVFytL7RzQVaAewYWds8AK6yb7124WAXukm1uJNWI/txHSl4u+lLuedCb6+FwLg3PkO8TGQHBe51OyV/jsQUpBr/R+FIi/isfsLNMwFC5GXXYG88SZkbW2rxq4orWnUqDEArF69MsqRKIoSDYWFhWzdupmpU9X5yHEqQVBOmxg0kNDS5ezJarwc2NBQDg963uAS/48jtndJNnE5wLntTQC8WVeCxdYq8XY2x6/MOPb8D+GrpGeGGbGkbA9zAFMDV3G5/zZSZZeIx9Z4BcU9zoWMdFi/Afmze5Bm5FUIRekounXrTo8ePdVEZUXppHJzFwKo+QcnUAmC0ixyp4F89736+wcrXARDTfeNJ5k4EuvvWy3QvW7ZTc/wu/AMvxvvoBvPZLidmpnYD3+3HESgBsfO/xLjhMzkyJP8ywM/YUrwcixNTEfaH8og8NqbEBsLH3+CfPKp1gpdUVrd6NFjWbduDYFAINqhKIrSyhYvXkCvXr3p06fvqTt3EipBUL4xWViIvO565F13Iz/5lMoaKCyLfAvlWv9HrvUjQjTOGnqkm9jqzkPNhD7UTHiEUMo5rRF6p1U75GYAXJtfAinpkSbrfwYnKxcl9cueAoRM2J94DuLlF0HT4OlnkG/+pzXCVpRWN3bseGpqati6dXO0Q1EUpRVVVlaybt0apk49Ty1ScAKVICjfiKyqQl7/fcg/DNnZyGnT2XMk8u1TJor42P4S7zv+zj5tW0Sb2ynpkixB1n0prcLf9zuEYjKxlhnYDi/HZoUeaY2HCq2zLOIR103Ms/03YntphaBs5FTEE48BIH/1a+Ss2a0Su6K0ppEjx6BpGqtWrYh2KIqitKJly5YQDAaZMkVVTz6RShCUU5Jeb7jWweYt0Ls34o1Xyat2U+uLzLQ/sL+AX3gZGsxhgDkkoq1vl/D4d9uRlSS9NQbHzsgTUeUMsdjwDryRQOoQkOGrOpnJjYunJchUvMLDPNvbTU9YvuEHiF/9Elyu8JAjRelg4uPjGThwMF98oRIERelMFi2aR1paOoMGDTl1505EJQjK15KBAPLW22DFSsjIQLz3XzwxqRwuiXzrbLIsZ5N1GXbp5Ar/7RFtqQmShJjwbefml7Ae24GlfE9rHUKn5xn5K8qvXUagx2QgvJJU3y6RVxEGmEMYE7iAoAjwX8ezSBoSCK9fcKBQwC/vRSxdjJikStArHdPYsePZunULlZWV0Q5FUZRWUFtby4oVy5g6dTqapk6JT6ReDeVryQcfgrmfQ2Ii4r3/Inv2YvdhLWKUkIdq3rM/B8Cl/ptJlhn1bRYNemeGT0a1mqM49n6CFBa8A29q1ePo1Cw2OGlcZUIMpCdFXkW4zH8rMTKeXZaNrLEuiGg7ekyjvFogTqiwLBfnIvcfOGNhK0prGzNmHKZpsm7d6miHoihKK1i1ajler5dp02ZEO5Q2RyUIytcSP7oJ9CzE2/9BnH0WecWCGm/kyeZH9hep0ErpGxrIxOAlEW090k0cdauYur58EWEG8fe9CDOuW2sdglJHK99HzNLfQMADQO8MM2LCciwJXOb/CQAf2P9BuSiJePzeI1r9ilVy0WLk9d9HXnElMi9ySJKitFeDB5+L2+1W8xAUpZNYuHA+CQkJDB+eHe1Q2hyVIChfS/Trh8hdhMgeQUUN5BdHvmUC+Dms7cMqbVzv+wUalvq2WJeka0r4U2rhq8C5+SUAPMN/1noHoNSLn3cL7k0v4NwerkFhs4aThBONCZ7POcFReERV/VWh43wBwb6Cup//qJEwdCjkH0ZediWhvPxWOQZFOZNsNhsjR47miy9UwTRF6egCAT9Llixm8uRpWK1fsbxfJ6YSBCWClBLz4T9R8/Tz9duExUIwBLvzG79dbNj5pfc57vH+jUzZq+ExAvp3bSjM5dz8Mpq/En/3iQS7jDrjx6E05hlxDwDuDc9BKLzWe3qSJCEmssLy9f57GRA6lwsDP2y0j+JyQVGZQMTGIv77FgwbCocOUTb1IuTRo61zIIpyBo0ZM468vEMcPqySXkXpyNauXU11dRXTpp0X7VDaJJUgKPWklMiHHoG//4PqXz8QMb58zxENX6BhaJGs+wegYaGPeXbEvrqlmsS46neMY8/HAHiyf3FGj0H5av6+FxFM0rFU5eHY1VDsrl9XE8sJfwkSZRr3eJ+mu9mvyf3sK9Dw+EDExyPefQcGDyK0Zy/y8iuRhUVn+jAU5YwaM2Y8gBpmpCgd3MKF83G73YwePS7aobRJKkFQgLrk4MGH4YV/gtVKwntvIPr0BuBwiaC0InLewVrLAl5w3E+FONZoXy5HuCBXPSEov2o+FTPfqF9JR4kCoeHJ/jkA7nV/AxkeXuRyQK+MxrURjttiWRlR+C5kgpGnEQqBSExEvP8u1iGDYM9e5A9+iFR1LpR2rHfvPmRmdlHLnSpKBxYKhVi8eCE5OZNxOBzRDqdNUgmCggyFkL/9HfzzX2C1Il7+N87LwpONK2rgYGHk26REFPCu43m2W9ew3bImok0IyOpu0mi1MKsD/4DvNlpNR2ldvqyrCMX1xFq2C/veT+u3ZyZHDjU67kPbi/zL+QCzba9HbPd4BXvr5iOI5GSSFnwKo0chHn5IVaJU2jUhBGPHjueLL1YRDAajHY6iKGfApk0bOHasVK1e9DVUgtDJSZ8Pedsd8MqrYLcj/u8lxIUzAfAFYFde5JKmAfy87HgIr6jh3OB4xgTPj9hfj3STWFfDfVv+coQncjUcJYosNjwj7gYgZvVj9VWthYD+3SKHGgEMCo1GSI3PbW+zU1sf0VZcLsgvDicDWloa4pP/IUY3zC+Rai15pZ0aN24C1dVVbNmyOdqhKIpyBixYMA+Hw8H48ROiHUqbpRKEzq68HNatg9hYxH/fRsy8AIBQCHYc1PAHIz8Nfs/+HHmW3aSaXbjB9ysEDe3xbkn31BMmvPrKiZ99A8lvDEWr2N86x6OcknfgD6kddBOVF7wWcUXHaW9cQC3LHMrMwA1IIXnN8Rjlojii/WChxrGq8O0TrxzIz2YhR45BfvHFGTsORTlTRo8ei6ZprFq1PNqhKIrSwkzTZOHCeYwbl0NMTGy0w2mzVILQyYmMDMS77yA+/hAxITw5T0rYdoBG9Q5WWmez0jYHm7Rzs+9B3MTVt1ktMKC7GTGCyL3uaTTvMYKpgzHje7fC0SjfiMVO9dRnCaWc1agpPUk2KqA2M3ADWaGhVGll/NvxIAH8Ee278ixUeyL3I2fNhrIy5FXfQ374UYsfgqKcSfHxCQwefC4rViyLdiiKorSwLVu+pKiokOnTzz91505MJQidkNy2Hfn8P+rvi6wsxODB9ff3FQiOnTQ6pEAc4N26dfGv8d9ND7N/RHu/riZOe8N9rfIQrk3/BKAm509q7kFbJSWWst0Rm/pmmrgcDUmChoUfeR8g2czgrNumkgAAIABJREFUoGUnb9ufrl/BCsKTljfvg1pfwz7E35+Dm26EuiFs8qm/qsnLSrsybtwEtm/fSllZWbRDURSlBS1cOA+r1cbEiZOjHUqbphKETkbOnoO86GLkI39CzpnbqP3AUcHRY43fFhmyJ5MDl5ETuISxwQsi2rqlmqQmRJ78xax6BBHy4c26kmDGiJY9CKVlBL0kfHgRSe/koFUfqd9ssYB+0kTzOBL5ie8R7NJJvmUPtVRH7MofqBuSFi6vgLBYEI//GfHoI6BpyKf+grzjTqTX2xpHpijf2rhxE5BSsnq1KpqmKB2FlJL58z9n7NhxxMXFnfoBnZhKEDoJKSXy6b8hb/wReDxw5RUweVJEn0NFgsMlTb8lNDQuC/yEa/yRVZDj3ZJeGZHJgS0vF6fxLlKzUzPujy17IErLsTqRzhRE0EPskvsimmJc0O+k+QjdzX781Ps4v6h9LmJ42XG1fsG2E5MEIRC33Ix44zVwu+H/fYi8++dn6mgUpUWdc84gEhIS1DAjRelAtm/fSkHBETW86BtQCUInICsrkT++Bfn4kyAE4oHfI/7xPMLVsNzQoSJBXlHk28GPl/fsz1NJQ62DEycl260SvUfkvAPMELGLwhV7PaN/jRnfC6Xtqp74GKYtDsfeT7Dv/l9EW3qSpGtKZJLQ3xyMEzcQLpZXKPIi2j1ewdYDGr5AwzYx4zzEZ59Anz6IO247MweiKC3MYrEwZsx4Vq1aoYbHKUoHsWDBPKxWK5MnT412KG2eShA6OLlrF3LqdPhsVnilov+8gbjrp/UrzkgZnnPQKDmQPv7t+CNLbP/jJedDEWPOATQNzuppYred9ISaharzX8abdSWe4fecyUNTWoAZ152aCQ8DEJf7C4Q3svBd70xJYmzjk6MQId60P8kTrts5qBkRbbU+wbb9Gt4T5jKLQQMRK5Yizj23fptcuBAZCqEobdW4cRMoKSlm1y7j1J0VRWnTpJQsWDCPkSNHk5CQGO1w2jyVIHR0XbqAZoEhgxELPkecN72+yTRhV75GQWnk2yBIgOdDv2eHdR2xMpHrffdGXDmAcDG0OHfTTxnMzKbqglfAcnL2oLRF3kE34e86Hq22mNilv41oEwL0HpGTliF8JckUIXyilr87f80+c0dEe61fsGWfRtUJqxsJq7X+tvzkU+S1NyCvvhZ55AiK0haNHRte2W3lSrXcqaK0d7t2GeTlHVTDi74hlSB0QDI/H1kVXpxexMUh3n8XMetTRN++9X18Adh6QKOkIvLEP4CfVxyPsEEuJ0bG8bPaJ8mUkcOEemeapMSfdMLoq8C+55MzdETKGSU0qqc9h7Q4ce58B9uhxRHNVguc08vEbj1xZSONG3y/4tzgeDyiij+H7mK/tj3icf6gYOsBS6P3GACJiZCaAsuWISdOQb77nhrGobQ56ekZZGXprFyp5iEoSns3f/5cNE1jypTpp+6sqAShI5GmiXzlNWTOZOQjj9ZvF716IhyO+vtVHti8V6PKE3niVksNLzh/y5fWFbiJ46feJ+gm+0X06Zpi0i31pBM5KYmbfzsJs2/AteH5lj8w5YwLJQ2gesKfqBn5SwLdJzZqd9rDSYLV0rDNio0f+/7AsOAkaqnheed97NI2RTzONMHI0zhwVERU5BYTcxCLF8KM86CyEnnX3cgf3oQsiizEpijRNn78RDZu3EB1dfWpOyuK0iZJKZk3bw4jR44mOTk52uG0CypB6CDknj3ISy9D/ua3UFMDJSWNxndLGZ6MvGW/pVGFZID11sXssmwiwUzhAesL9DL1iPaMJJM+XRp/yuta/wyOfZ9hOhLx9ftOyx6Y0mq8596KZ+wfwkPSmhDjgrN6hiKWP7Vg5Sbf7xgrzqsfbmRoGxs99nCJxpaT5yVkZCDefB3x3DMQFwdzP0dOnITctKnR4xUlWsaPzyEYDLBmzapoh6Ioymnatcvg0KGDnHfeBafurAAqQWj3ZHU15qN/Rk6ZDqvXQFoa4v9eQnvlZYSl4UTP44Ot+zXyijS+aiTH+OBFXOz/Efd6n6GniCyElpYo6de18QNthxYRs+ohAKpmvIiZ0KflDk6JGlFTiHvNEyAjVzFKiIGzGyUJFu6w/JEpgcvpavahl9m4QjNAlUewaY+FgtKGqwlCCMT3rkEsXQyTJoaXQ83KOlOHpSjNdu65w4iNjWXZsqXRDkVRlNM0b94cLBYLU6eeF+1Q2g3rqbsobZUsL0dOmARFReEN37sG8dAfEUlJ9X1CIcgvCdc3aCoxWGdZRE8zi3TZHYHggsD1jfqkJkgGdDMbFUO2FqwhYdb1CGlSM/KX+PvMbMnDU6LFDJH44UVYy3ah1RylevLTEZWwE2PhnF4hdhy0EKrLHzRh4Ur/T/FRi4Pw8rlePJiYuImtf2zIhH0FGiUVkr5dTGLqVtoV3brBe/+FggKEu24Z1aoq5JNPIe68E5GR3jrHrignsdlsjBkzjhUrliKlrF8BTlGU9iFcHG0u2dlqeFFzqCsI7YyUsn4yp0hMhPHjIDsbMfsztOeeqU8OpITCMsHGPRr5xY2TAy+1vGX/K686H+VF5wP48TX5fF1STLK6N04OLCXbSPjkSkSgBq9+DZ4xv2/xY1WiRLNQPeVvSIsD15b/I2blQ426JMSEkwTLSX9BjicHEsnbjr/yuOu2RsugAlR6BJv2WthzWNTXTBBCILp2re8j//I0vPgSctRozIceQZaWttwxKkozTJgwiaKiQnbv3hXtUBRFaSbD2Fk3vEitXtQcKkFoJ6RpIj+bhZw+A5Y0XOoWf/0LYtYniOwRQHhSaFFdYrDnsIYv0PjTrgPaTh53/YSVttlYpY1JgcuwYW/Ur0e6Sd8uslFyACDtsZjOZHx9L6LqvH+CUG+ljiTQPYfKC99Aalbc65/GvfoxTs4y42NgcJ8QDlvjS1NeaigWRyjVCvir82fMtr1BkECjfoVlGht2W9h7RETMTwAQ378eZl4AtV74xwvI7NGYjz+JLC9v0WNVlFMZN24CACtWqGFGitLezJ8/Vw0vOg3qrK6Nk14v8r33kVOmIX90M2zZinz1tfp2ERuDEOFPYfOKBet3aew+rFHra3xWX0sNH9j/wV+cd1GsHaar2Yf7al9gYvCSiDoHQoDeE3qmf/Wyk2Z8L8qvmk/lBa+CpkaqdUT+PjOpOu9FJIKY1Y8Ru+hnEIo8yY9xweC+JrGuyMe6iOVe77NMClxGSASZZX+dJ513NHk1wTTh6LFworAzT6O8brEY0b8/2uuvIubNgWlTw5Pvn/4bcugI5BtvnqnDVpRG0tMz0PWzWb58SbRDURSlGcKrF6nhRadDJQhtlMzLw/zTo8hhI5B3/gx27ISuXRGPPYr41wsABILhqwXbD2is32XhUKHW5OpEACYmf3HdxWLbhwBM81/NfbUv0E32jehnt0oG9Q7RJaXxPhzb3yJm+QMNMbrTwOpsoSNW2iKffhWVF76JtDhxbXsd+4G5jfo4bDC0PyTHRSaUNuxc7b+Tu2v/SqrZhcOWfTzl/Clv259uVJkbwhcoSisE2w5YWL9L42ChoMYLYuhQtHfeQnz2SXgis8cDvXs3PO7YMaRpNtqforSk8eNz2LRpI1V1NWYURWn7DGMneXlqeNHpUB/9tlUffQzP/T18e9AgxI9vQl5xBTXSQUWN4FiBoKpWfOWKRBAeB24SwoIVDY3JgctYbZ3HNf676WH2b9Q/zi3Re5g4TiqALHwVxC65D+fOdwDw9b2QYNexLXWkShvn738J5bGzsB+Yj7/fxU32sVrhrJ4mR0oFBwsj57xkmUO5v/YlZtneINf2IXacjSpzn8zrF+QXC/KLwWmXJMZKEvRRJP73XSx7d8GAAfV95d0/h23bkFdfhbjmGkSf3t/+oBXlJDk5k3jllX/zxRcr1FKJitJOzJs3Ww0vOk0qQYgyWVsLy1cgP/wIkTUA8fN7wtuvu5bQ9p3UfO9GKs/OpqpWo2qfqF815usECbDBkssi2wecG8phZuAGILyM6fjgRWgnXTgSArqlmvRMbzzfwJa3hLgFP8VSdQhpdVE98QmVHHRCwcyRBDNH1t+3Fm3Esftjakb/Gqzh8UXh95EkzhViV37k/BcHLi4P/IQJwYuIlQn129daFpKn7WFK8DKSZNMrFXn9gqPHBEePhZ/D5TiLuCOSWBfEWny4du1G5B+Gp59BPv0MctRIxEUXwsyZiN69mtynojTX4MHnEhcXz/LlS1WCoCjtgJSSzz+fw+jRY9XwotOgEoQokAUFyPkLkfMWwLKliNpaAAJde7Dvip/jCwhqfemE7vxn+AHfsLhsiTjCF9bPWWWdS7lWAoBPeDk/cC0alkaJAYQ/nR3QzSQ+5uSd7SL+s3tx7JsVji19GFUzXiKUrNao7/SkSdz827GWbsdhvEvN2Acg5Zb65vgYGNrf5MBRQWFZ5HsuXXavv21iMtv+OkXaYRbZPmBwaAw5wUs4KzQcjaaLtUkJHq/A4xUUlgG44KVVpG5fSfrc/xK36FO0NWuRa9bCHx/C/9zfsV19RUTdBkU5HVarlXHjJrBixTJM00RTbypFadO2bt3C4cP53HLL7dEOpV2KWoJgmuE1+o/7qpEyXzWE5uuH1nzzx3h94PV/zfMcf5wM3zbNhm2mBCnDw3yOf4XMhq/6+0FJSGoEQ5D06rN0ffHPAPWDLKoHDOHYhJmUTL0cX2Xz/9PZo23mU/ur7LFsrt+WafZiWuBKRganN3mydfyqQfdUiaWpc7H1L+PYNwtpdePJ/jmeEfeCxdZER6XTERpVU58ldvEvsJVsJn7+bbD5BRxD7sA34AqwOrBaoH83SUp8iH0FGl5/4yFFGho3+n7HAtt7bLIsY7N1JZutK4k3kxkemsTEwKVkyB6njkfTKBk0gZJBE9DueJyk1QtIXj6bxDUL2ZwxAf92C1YL9HjpEdz7dlA7KgffsFEEzx6IxWFH0wh/CbDUfQ9vkwjCvytC0Og2J20HGl2B8/nB33jxpkb9mlopTK223/bk5Ezi889ns2PHNgYOHBztcBRF+Rrz5s3GarWp4UWnKWoJwsY9FjzerznLbyWJRVBe3vSnlc0mJfaSAtz7dhCzaxOxxpfEGpvIv+HnFF96EwBar4FkON1UDMuhbOwMykdPx5/W5Rs/RS01HLDswCFd9DUH1m/fY9mMTToYFpzI2OD5DDCHfuU474QYSZ8uJjF184uFtwz7vtlgdeHLujy8ceL9eKoqqc3+BWZM5um9HkqHFewymvJrl+LY+V9iVj2CpTCcKJgr/kD5dz8mlBp+bybFwbAYk8OlgsPFWqMhcr1MnR/7HqBCHGOVdQ6rrHMp0Y6Qq31EVmgoGaFwglAk8rFiI1lmfG1cpjuW0infpXTKdxHBANIaTmqDIYhf9jnug7uIX7kg3Ndmp2bAYKrOzqZs7Awqh+e08KsEiYUt+PflW3A7BTPSoh1F+zd+/ESEECxdmqsSBEVpw0zT5PPP5zB+/ATi4+OjHU67pIYYNZeUWCvLsBcfxtO/4T8I/YEfEL9xOVZPdaOHxG1fR2FdglCRPZm1n+yuP3H5Ol48FGgHKdD2c0jbzT5tG0e0/UhhcnZwJHf6HgegjzmQm7y/Y2BoNC5OHivUIMYp6ZVhkhRrYinZhn3HUmyHFmHPy0WYAUJxPfD1vyS8bKkrkZpJTzX31VE6E6HhO/s6fAMuJ63gM4LLnsZSvpdQQu/6Ls5tb2DGZNCz6zjSE+PIKxIUlTcu3Jcgk7kgcD3nB67jkGawzrqIrNCw+vZZ9tdZZ11EgplCT1Ont3kWvUydLmYvEmRqk8nwyb9jO558j/iNy0jYtJLYHetxH9xF3Pb1xG1fj7TZ6xME9+4t9HjjL3h66/i69MKb2RNfl57407p+o99bpeNKSkpiyJChLFuWy+233xXtcBRF+QpffrmRoqJC7rnnl9EOpd1SCQKAlGi+WqxV5Zh2B8GE8BqfrgMGafPfx1Zegq30KI7CfByF+Vi8HgBWf7YP0x0LgObzYvVUE0hIobZXFtVZQ6jRh1KdNRRvtz4NT1V3giGR+PBSLcooE8Uc0wo5JooYFTyPlLpPST+w/4NVtshlJS3SSo+QHrEKkQUL2aGpTRxXCKe/EJfbRnrXFFLiJc6d7xC75D40f0VDN6Hh7zEZ34DLwAypugZK81idMPwmyrpfgaVsN9jqklQzSMyy+9H8lUihEUocQGrqQLxJgzhqHcQB6yi81siPtQWCXuZZ9PKfFbHdLh24ZCwVWilbtJVsYWV928jgdG70/RaAKsrYaF1GkkwlQaaSaKYSSyIaGv60rpTMuIaSGdcAYKmuIHbnRmJ3bKBySMPE+1hjE8kr5pC8Yk5EDFKz4EvrypevLsN0ugFInf8+mq+WQFI6geQ0gvFJBGPiCcXEI22Niw8q7d/EiZN5/vm/UVxcRFpaXLTDURSlCXPnzsLhcDBp0pRoh9JuRe1MUBQZaFW1CGlCKAihEEJKpCOGUPchAMhgAOeOBeGTVjOEFgp/F2YITBNv/9GY6f0AsBsridm2HC3gR/P767770AIBpKZx5KfP1T93v99dgasgH6unBmttLZaaGrS6ddQPXH8LBT9+FADr0V10e+c5ThZwu6hJT4GKw+DWAVj+s2soiplBZYIdn/DVfe3HJ3aQKrswSf4YgEpKedL5E6q0KoIi2GjfPQIZpBAeL9c70JV8utIjmEFPfyq6L5Msbwqu8OQHCk5Y9OWsfY/g9uZhC5ZjDxzD5TuM03cETQapGfsAnoRfhV9TVzKav4JQbHcCPSbi756Dv9eMcE0DRfk2hIiYxC6CtdQOuRV7/lKsheuxlhlYywycfEgikD71X+xPv56iMkHK4f/R68hrBKyJ+G1JBKyJBGyJ4e/WBK5P/yXX+X9BsThMsW8u++x57LMdocBaRFefnRjPHiQae135vOt4NiIsTWq4ZAwxMoZ7ah6sT8CXJqygaGw+trEpOMzd2OQ+bNJB0pgQBb/7BX0O+nAczcd+NB9L4UHcJSVYy4vItxkIMzzpf+A7fyH+wP4mX46Dl11L4W/+QE2olpgDe9Ff+Au4EzDtTkyHE5/DTsjhwLQ7OXLJlQSSUgFI3LoBd1ExFosDqVkJWq34rRakxUIwLgHPgCxAQChE3N6dWDQnwmJDWix4rXakBmgawbhYpCs8jlDW+IB+Lf0T75SOJwjLly/lnHPUa6oobU0wGGT+/M/JyZlMTExstMNpt6KWIAy9+zrMg4cabTeGxHDsmfB/uNJzmOF3//Ar97HsF+djvShcUdW35kFGvLqpyX4el4hIEPz5q0nP80f0qXUIqmMtHGIhNsIJwuGM/Sy5LYNjSVZKk60UZNoo6GKnOlYDIXiitJBYwgnCstTXmJ/iafL5R1TAJGs4QYgJQpmlDABnyCTZH6BrrZ9utT66e3xkOXdBcjhBuPFAEX/Z+2GT+wxYYpmVfmn9/e6FHxBbu6dRP9MVeeLv75ZDyY93I93pTc+MVJQWIu1xeMb9AQ9AsBbrMQNLyVasJVuxlm5HpA6gZ7qkR5pEO7yB1GMLmtxPrT2TI+mXIRCky+58f81juPxH69uDYgFW+QcA/GffzbheF1IuSqg291FJAeV2GzWiihqquHDVSNLqZg3//YLb2GJr4m9GL5jmLOMNYUBv2NxlJjOzM7H500ktCVIQ33DJOm+mh+s2CrqUBDBrBMUyEeHxEFsTYmHcAv7OVoiH0bVV/HPjga98rX5+6Xzy4h0APDbrEOcvqGiy39oRMdzzQri4YUx1iGU/3f6V+/zNIz2YNyMRgLtn2Tl/uqoC3BL698+iS5euLF2ay6233hTtcBRFOcn69Ws5dqyU88+fGe1Q2rWoJQilKVZ8XhumBUwBpiYwLVCWYuHLpeGx75ZQFUnnOMNtGg3fLeHvxcECiur6piR7+fSSRAJ2Ef6yCQJ2jYBNELKDWNownv7z+zIpdgtq3RY8bg2vWyNkDZ8sjzvkIul433iD+VcnYJFgNSU2U9I36MN2LHx7/9aPML2rAejdvZqLaytxhiTOkIk7KHEHTVwhE0dtPF+WhvdplX7m2/aQGAjhCknkSWOn52kb2KaF+0rzS9JJI4iVEBaCwlp/22/a618nANMcgkU7By8uaoWLSuKoJJ5QwAZrgbVPt/wPUVFOS3r468NlwDIAkmSQFO06XHhxUosTLy7pxYkXfyDyvT4wFEsMXbASRCARUoa/I7EYuxi0ezSQTH+zlEvNxQQ0SY1Vo9KmEeMX+AgP/em12YsrNougFqK/2I5Lq8Bn0fBaBOdU1Nb3qziWR0ZZd6SQmO4g51QUExICU8CSK+M5L6ucfqV+QPLr/iPI7VsFUuIM+UnxhZORwj42HvtzF/60/hAyKPAGnDzbtzsi6Mfhl4RiBPH+IFKAcY6Ts6o89K/0ginYb0viUKyJJQR7+jtwB8PLvzlDIXbqTvTyWqwhiZRwxOYmqJkICUGnwFm3VFxQjXZqMUIIcnIm8+mn/8Pr9UY7HEVRTjJ37mzcbjcTJkyKdijtmpBft17omdEb2D9vVW3bWMUo0U15edOf/LdVLock3i2Jd0NirMR+BuZNpqXFUVxc1fI7bufU69K0M/G6SAlVHiirFlTWCKq9AvMbFApsS9rK3xe3UzBjrAugD3AgutGE/w8oLa3GNKP/f8DpWL58KXfeeStvvfUWAweOiHY4Z0xH/nunjq39+rrj8/v9TJs2gUmTpvCnPz3RypF9e2fqZ6dpgpSUWGjG/wFqNmobJkS4kJnbGV6BKMYpiXOBTf3UlE5AiHDRtfiYcCGScJE0qKoVVNeCxyeo9QmCoVPuSlFaVHb2KJxOJwsWLOjQCYKitDcrVy6nqqqSCy64KNqhtHvqVDOKLBrYrBKbFRy2cDLgsIHdFv7usqMqwCpKHSEgxgUxruOfOoe/+wNQ6wevX+APhu/7AwJfAHwBlUAoLc/pdDJ69FgWLFjAz352H0LN51KUNmHOnM9ITExk9Oixp+6sfK2oJQjHq5ae7Ov+zn5Vm/jK2slf85i67U57+MS8YV9NPgFChGM+8bsAhNZwO1yNVYarsWoNVVmP37daJDYLWK1gs6iTf0VpCXZb+Csh5sS/Aw23pQwXSguEwtXbw98FITNcDT1khiukm/X3BaYML552fE/11dJPvn1CZfWTSVkXm1XW7aeJWg1f8biWps5fW96kSVNZsmQxe/bsYsAAPdrhKEqn5/HUsGTJIi6++DJsNlWz5tuKWoIwbECoTYw/TUuD4uJ2NrBZUZRvTIjwsLzIoXlf97en5f4utZW/L5qmMoSWNnHiZIQQ5OYuUgmCorQBixcvwuv1MnOmGl7UEtRn2IqiKIrSTKmpaQwbNozc3EXRDkVRFGDu3M/IzOzC0KHDox1KhxCNKwgWaFufaLWlWNoS9bo0Tb0uTVOvS9PawutyQgyWaMbR0cyYMYPHH3+coqJC0tMzoh2OonRa5eVlrFq1guuv/yGaGr/dIqKRIHQBSEqKicJTN61u6SflJOp1aZp6XZqmXpemtbHXpQuwN9pBdBTHE4SlSxdz5ZXfi3Y4itJpLVjwOcFgkJkzvxPtUDqMaCQIa4EcoABQ64soiqKceRbCycHaaAfSkWRlZdG9ew9yc1WCoCjRNHv2Z/Tt2w9dPyvaoXQY0UgQfMDyKDyvoihKZ6auHLQwIQSTJk3l/fffweOpwe1uO1fGFaWzOHw4nw0b1nHnnfeoJYdbkBqopSiKoiinafLkqfj9fr74YmW0Q1GUTmnOnM8A1PCiFqYSBEVRFEU5TUOHDic+PoHFixdGOxRF6XSklMye/SnDho2gW7fu0Q6nQ1EJgqIoiqKcJpvNxoQJE1m2LJdgMBjtcBSlUzGMHezbt5eLLro42qF0OCpBUBRF6aR0Xb9O1/Xtuq7v1nX9p020D9V1fZ2u67t0XX9Z13XrSe3DdF33tV7EbdOUKdMoLy9n48b10Q5FUTqVWbM+wWq1cd55F0Q7lA5HJQiKoiidkK7r3YBHgQnAUOBWXdfPOanbf4A7DcPIAgRwywmPdwPPA/bWibjtGj8+B7vdzqJFC6IdiqJ0GqFQiLlzZzFhwkQSEhKjHU6HoxIERVGUzmk6sMgwjGOGYdQAHwBXHm/Udb0X4DIM44u6Ta8BV53w+L8Cz7RSrG2a2x3D2LHjyc1diJQy2uEoSqewdu1qiouL1fCiMyQay5w6gJGoOgiKoiit5cQ6CMeHBHUl/Hf4uAJg1An3m2rvDqDr+iWA2zCMD3RdP62A2lgBudOWlhYHwKWXXsy99y6msPAggwcPjnJULef48XVE6tjar7S0OBYunENcXByXXfYdXC5XtENqMW3lZxeNBGEksCwKz6soitLZ5dBQh0YDTvy4WwDmCfebbNd1PRP4PeErEKettLQa02zfn7anpcVRXFwFwLBhY9E0jf/3/z4mM7N3dANrISceX0ejjq39SkuL49ChQj77bNb/Z+++w6Oo+jaOf8+WVEiAEEqQIipDFyw0pYr0ooCIig3E/oj42LA3fOwN0Zdmp0gvgjRBBZEiHYShSQ8BQkgIkGTLef/YEAKGEtjN7Ca/D1eu7O60ewvZOXMa7dp1JD3dTXp64Xi+gXrvbDaV74syVhQQEgFSUo4FxZdDXFwxkpPTrY4RdOR1yZu8LnmT1yVvwfK62GyKkiWj4fQagT34CgwnlQP2nbG8fB7LOwFxwO8naw8Mw1gNNDVNs3B8S1+EkiVLcs011zF//jwee6y/1XGEKNTmz5/HiRPH6dy5q9VRCi0rCggeAK9XB0UBAQiaHMFGXpe8yeuSN3ld8hZkr0vuZp3zgNcMw4gHjgHdgQdPLjRNc6dhGBmGYdxgmuYfwN3Az6ZpjgBGnFzPMAxtmma9gokf3Fq2bM3777/Nzp07qFy5itVxhCi0pk+fQkJCBerVu8bqKIUf/zquAAAgAElEQVSWdFIWQogiyDTNvcCLwAJgNTDaNM1lhmHMNAzjuuzV7gI+NgxjE1AM+MyatKGhZcubAGTSNCECKDExkWXLltCpU1dsNjmNDRQrahCEEEIEAdM0RwOjz3isQ67bazi943Je+1CBSRd6EhIqUKNGTebPn8t99/W1Oo4QhdKUKVPwer107NjF6iiFmhS9hBBCCD9p1aoNa9euJikpyeooQhQ6WmvGjx9P3br1pBlfgEkBQQghhPCT1q3bALBgwVyLkwhR+JjmRkzTpFMn6ZwcaFJAEOJ8tJeI9V8TO+UWGFKf6N+fx3Z0j9WphBBB6PLLq1K16pXMnTvb6ihCFDrTp0/F6XTStm17q6MUelJAEOJcXMeImdGb4vP7E7ZrPuxfTfg/P6MdhWdSFiGEf7Vu3YZVq1aQnHzI6ihCFBouVxYzZ06jTZs2xMaWsDpOoScFBCHORmti5jxE+Paf8IbFcvSmz+H++aR2mYCOjLM6nRAiSLVu3Rav18uCBfOsjiJEobFo0UJSUlLo2bOn1VGKBCkgCHEWERu+JXzbNLxhMRy5bS4Zte6Bqi3xlLzKt4LWhG+eCJ4sa4MKIYLKVVdVo1KlysybN8fqKEIUGlOnTiIurjQtWrSwOkqRIAUEIc5C25x4osuT3vIjPHHV/7U8+vdniZl1P5Grv7QgnRAiWCmlaN26DcuXL+XIkRSr4wgR8g4fTmbRot/o2LELDoeM0F8QpIAgxFlk1ryLw/etI9PIuzozq7JvtJKoFR+hMtMKMpoQIsi1bt0Wj8fDr7/OtzqKECFv5syfcLvddOlyq9VRigwpIAhxLvawsy5yVW5NVkITbBkpRK4eUoChhBDBrkaNWiQkVJBmRkL4wbRpk6lVqw5XXnmV1VGKDCkgCHGGyJWfEbVkEOrYeSY6UorjjV/2bbNmKLgzCiCdECIUnGxmtGTJYtLSpIZRiIu1adPfbN68SWoPCpgUEITIzZ1J1F8fE73sXexpO867uiuhCa74etgyDhO+ZXLg8wkhQsbNN7fH7XbJaEZCXIKpUyfjdDpp166D1VGKFCkgCJFL+Lap2DKScZeug7tcg/NvoBQZdfoCELluRIDTCSFCSe3adShfPoE5c2ZZHUWIkJSV5Zv7oGXL1jL3QQGTAoIQuUSs/waAE3X6glIXtE2G0QN3SYOsSq3A6wlgOiFEKFFK0aZNe5YuXUxq6hGr4wgRchYsmEdqaiq33NLd6ihFjhQQhMhmO7oX594/0PZwMqv1uPANndGk9F7G8UYvgs0euIBCiJDTtm173G438+dLMyMh8mvKlImUL59Ao0ZNrI5S5EgBQYhs4Vsno9BkVWmHDo/J38YXWNsghChaatSoxWWXVWTOnJ+tjiJESNm3by9LliymS5dbsdnkdLWgySsuRLbwzRMByKh2cVWZtvR9RK4agv3QBn/GEkKEsJPNjJYtW0JKikyaJsSFmj59CoCMXmQRKSAIke14w4GcqHk3WVXaXNT2kSs/o9jCgURsHOXnZEKIUNamTXs8Hg/z58+1OooQIcHr9TJ16iQaNGhMhQqXWR2nSJICghDZsqq0Ib31EHBGXdT2mVd2BSBs+0zQ2p/RhBAhzDCqU6lSZWlmJMQFWrZsCfv27eXWW6VzslWkgCCEn7jLNcAbURJH6nbsR7ZaHUcIESSUUrRt24Hly5eSnHzI6jhCBL0pUyYQExNLy5atrY5SZEkBQRR5KjON4rP6EL55wqXtyGYnq7KveVLYP3KlUAhxSrt2HfF6vVKLIMR5pKSk8Msvc+nYsQvh4eFWxymypIAgijznrvlEbJ5AxNpLn+gs6/L2AIRtl5MAIcQpV1xxJdWqGfz88wyrowgR1H76aQoul4vu3W+zOkqRJgUEUeSF7ZwDQFaVtpe8r6zKN6FtDpyJS1CZqZe8PyFE4dG+fSfWrl3N3r17rI4iRFDSWjNp0njq1q3HlVdWszpOkSYFBFG0aU3YrgUAZFW+9LaOOjwWV8UWZFW+CZVx+JL3J4QoPNq27QDArFlSiyBEXlatWsE//2ynWzepPbCaFBBEkWY/shV7+l68kaXxlK7ll32mdplIWpcJeGMv98v+hBCFQ0JCBa6+ur4UEIQ4i0mTxlOsWDHatm1vdZQiTwoIokhz7poPQFbFFqD89N9BZlUWQpxF+/ad2LJlM1u3brY6ihBBJS0tlblzZ9G+fSciIy9uuHHhP1JAEEVaTvOiSq38u2N3Js49C1Enkv27XyFESGvTph12u106KwtxhhkzppGZmUn37j2tjiKQAoIo4lyX3UhWQhNcFZv7db8xsx+gxKSOMtypEOI0pUrF0bBhY2bNmoGWCRWFAHydkydOHEfNmrWoXr2m1XEEUkAQRdyJ+o+T2mMW3uIV/bpfV0JDAJz7Fvt1v0KI0Ne+fSf27t3DmjWrrI4iRFBYvXolW7duoUePXlZHEdkc51vBMAwvcEGXOUzTtF9yIiEKAVdCEwCce6WAIIQ4XatWrRk0KIIZM6ZTr941VscRwnLjx4+lWLFitG/f0eooItuF1CB0Brpk/zwPHAFeAFoDzYABQBLwTIAyChEQYdum40haAV633/ftjq+LdkbjSN2OOpbk9/0LIUJXdHQxWrZszZw5M3G5sqyOI4SlUlJSmDt3Fp06dZXOyUHkvAUE0zRnnPwB7gD6mqb5rmmaC0zT/MM0zc+AB4B+gQ4rhN94PRSf9xglf2yJLX2f//dvc+Aq1wAA574//b9/IURI69ixC6mpqSxc+LvVUYSw1LRpk3C5XPTocbvVUUQu+e2DYAAb83h8F3DZpccRomDYkzdgyzyCp3glvDGVAnIMV0JjQPohCCH+rVGjJpQqFcfMmdOsjiKEZbxeLxMmjKN+/Wtl5uQgk98Cwp/A/wzDiD35gGEY8cD7wAJ/BhMikE6etJ88iQ+Ek/0QHClbAnYMIURocjgctGvXkd9+W0BaWqrVcYSwxLJlS9i9e6d0Tg5C+S0gPATUBhINw9hoGMYmYDdQLnuZECHBmbgMAFdCo4Adw1W+Icn3riW166SAHUMIEbo6duyMy+VizpxZVkcRwhLjx4+hRIkStG7dxuoo4gz5KiCYprkNqAl0B0YCI/B1Xr7ONM1E/8cTIjCc+5cD5PQTCAhHON7YKjKzshAiTzVr1ubyy6syY4Y0MxJFT1LSfn79dT5du3YnPDzc6jjiDPmeB8E0TTcwDxgCfAEsAsINw5Cu5yIkqGNJ2NN24nUWwxNXQBOyBGCkJCFEaFNK0aFDF1atWsGePbutjiNEgZow4Ue8Xi89e95hdRSRh3wVEAzDaGQYxhogA0gHjmb/nLwtRNCzp+3AG1ESd7nrwBbYqTvshzZQclRjYqfcEtDjCCFCU6dOXVBKMX36FKujCFFgXK4sJk0aT9OmzalQQca4CUbnnSjtDJ8AqcAtQJr/4wgReO7yDUnutwOVFfiOgd7ocjiSN6DtEeDJAntYwI8phAgd5csn0KBBY6ZPn8JDDz2GzZbvin0hQs68eXNITj7E7bffZXUUcRb5LSDUARqZprkuEGGEKDBKocNLBPwwOjIOd6nqOA5vwnFgNe7yAezzIIQISV263MqLLz7DihXLuf76hlbHESLgfvxxNBUrVqZx4xusjiLOIr+XKjYCCYEIIkSB8HrAdbxAD+kqdz0AzqQVBXpcIURoaNWqNdHR0UybNtnqKEIEnGluYvXqlfTs2UtqzIJYfmsQBgPDDcMYDGwBTpsj3jTNmf4KJkQgOA6sosSENmRW7czRDt8WyDHdZa+Fv7/HkfRXgRxPCBFaIiMjadOmA7NmzWDgwJeJioq2OpIQAfPjj6OIiIiga9duVkcR55DfotvX+GZMfheYBPyU62e6f6MJ4X/O/ctQXjc4C27QLVe567KPLQUEIUTeunS5lRMnjjN37myrowgRMKmpR5g5czrt23cmJib2/BsIy+SrBsE0TakLEiHNcXKCtALsC+CJq4l2RGJP/Qd1IhkdGVdgxxZChIZ69epTsWJlpk2bLFdWRaE1adIEMjIyuPPO3lZHEefhlxN+wzDCDMNo7I99CRFIBTJB2plsDtJvHERqx1FoR2TBHVcIETKUUnTpcisrVixn9+5dVscRwu/cbjfjxo3m+usbctVVhtVxxHnkdx6ExoZhrDEMw2UYhufkD3ACWBiYiEL4hy09EfvR3XidxfGUql6gx86o+wBZV3Qu0KZNQojQ0qXLLdhsNqZOnWR1FCH87rff5pOYuI877rjb6ijiAuS3BuET4CDQC1+hoDcwEN9EaTIVnghqjqSVALjLXhPwCdKEECK/ypYtR5MmTZk6dRJut8y+LgqX0aO/JyGhAs2bt7Q6irgA+S0g1AWeMk1zIrAKSDJN8z2gP/Ckv8MJ4U+OA7kKCAXN6yZi7XCKLRgAWhf88YUQIaFbtx4cPHiAxYsXWR1FCL/ZtGkjK1Ysp1evu7Db5QJdKMhvAcHNqRmUNwP1sm8vAGr5K5QQgZBRuw9p7b4ho1qPgj+4shO99B0i143Elraj4I8vhAgJTZu2oFSpOCZPnmB1FCH8ZuzYH4iIiOSWW7pbHUVcoPwWEJYCjxqGYQPWAO2zH6/NGXMiCBFsvMUrkFmtG574OgV/cKVkuFMhxHk5nU46d76F339fwKFDB62OI8QlO3w4mZkzp9O58y0ytGkIyW8B4XngfuAp4HugpmEY24FxwGg/ZxOiUHGXvRYAh8yoLIQ4h1tv7Y7H42H69ClWRxHiko0bN4asrCzuuks6J4eS/BYQXgNuAr41TTMFuBb4AOgDDPBvNCH8x7n7N4r98gRhO+ZYlsGVXUCQGgQhxLlUqVKVa665jsmTJ6Clz5IIYZmZmfz442iaNWtBlSpVrY4j8iG/BYRGwDHTNA8CmKa53zTNL0zT/NE0TfkrJoJW2K4FRG74BkfiEssynOwc7Ti4BjzSIk8IcXa33NKdXbt28tdfy6yOIsRFmzlzOikph7n77vusjiLyKb8FhI+B7w3DuM0wjGsNw6iZ+ycQAYXwB8eBVQC4y1gwglE2HVESd4krUJ5MHMl/W5ZDCBH8br65HcWLxzBx4o9WRxHiomit+eGHb6lWrTrXXdfQ6jginxz5XP/N7N+5/2JpQGX/lrGrRPDROlcBob6lUVwVW+ItXgm8Msa5EOLsIiMj6dz5FsaNG8Phw8mUKhVndSQh8uXPP/9g27YtvPnmOyilrI4j8im/NQiX5/FTNddvIYKOLfUfbJlH8ESVxVsswdIs6S0/IvXWqbizRzQSQoiz6dHjdtxuF1OnTrY6ihD59sMP31C6dDzt2nWwOoq4CPmqQTBNc2eggggRKM7ctQdyFUMIESKqVr2Ca6+9jokTf+Tee/tgs+X3mp4Q1ti82WTx4kU89tiTOJ1hVscRFyFfBQTDMLz4mhLlJQvYC4wBXjNN03OJ2YTwi5zmRWWtbV6Uw52J49A63KVrgyPC6jRCiCDWo0cvBg58mqVL/6Rx4xusjiPEBfnuu6+IjIzi9tvvsDqKuEj5vRzxEHAQeBSon/3zELAfeBffPAm3Am/4MaMQl8QTW5WsCk1xlQ+OTlIlxt9MyXGtfKMZCSHEOdx0UxtKlizJhAljrY4ixAXZvz+RWbNmcOutPWRitBCW307KTwN9TdOckeuxtYZh7AY+NU2zumEYicBY4EV/hRTiUmTU6UNGnT5Wx8jhjq+D8+BqnEkrcQdJoUUIEZzCwsLo0qUbP/zwDQcOJFGmTFmrIwlxTqNGfYvWmt6977U6irgE+a1BqABsz+PxPUClXLdLXUooIQqznPkQklZanEQIEQp69Lgdr9fLxInjrI4ixDmlpaUxceI42rRpT0JCBavjiEuQ3wLCIuA9wzByCgCGYcQB7wB/ZD/UHdjsn3hCXBr7ka04DqwBj8vqKDlODrV6sm+EEEKcS8WKlbjhhmZMnDgOl0smWRTBa8KEsRw/fpx77+1rdRRxifJbQOiHb0jTvYZhbDQMw8RXY1ABeNAwjI7AIKR5kQgSEWuHU3JsU6JWfmJ1lBzu0rXRtjDsKVtQmWlWxxFChIBeve7i0KGDzJ8/z+ooQuQpMzOT0aO/p2HDJlSvXsPqOOIS5auAYJrmbuBqoCswAhgCdDRN8xrTNP8BlgEVTdOc6fekQlwEZ5LvKr3L4gnSTmMPwx1fG4XGcWC11WmEECGgSZMbqVixEmPHjrI6ihB5mjZtMocOHaRPn35WRxF+kO9BlbOHL92Dry/CSOAfwzBU9rKDpmke8m9EIS6S143j4FrA+hmUz5TTzCg7nxBCnIvNZqNnzztYtWoFmzZttDqOEKdxu918880IateuS4MGjayOI/wgXwUEwzBiDMOYCawHxgNlgY+BNYZhXBaAfEJcNHvKZpT7OJ6YyujIOKvjnOb4Nf1JvmcVJ+o/ZnUUIUSI6Nq1GxEREfz442irowhxmjlzfmbv3j306fMgSiYkLRTyW4PwIRAOXAacyH7sCeAIEDyNvIUAHEm5ZlAOMt7YKnhLXCEzOwshLlhMTCwdOnTm55+nk5p6xOo4QgDg9Xr56qthVK16JS1atLI6jvCT/BYQOgLPmKa57+QDpmnuAv4DyKdCBBXnAd8woq7sYUWFECLU9erVm4yMDCZNmmB1FCEAWLjwV7Zu3UKfPv2w2fLdcl0Eqfy+k8U4VXOQm/0i9iVEQNmTNwHBWYMAELnyc0qMaYZz5y9WRxFChIhq1Qyuv74hY8f+gMsVPMM3i6JJa83IkcMoXz6Btm07WB1H+FF+T+pnAa8ZhuHMvq8Nw4gHPgDm+jWZEJcotdt0Dvf+C1f5BlZHyZMtfa9vRuX9y62OIoQIIb1730tS0n7mz5evXWGt5cuXsnbtau677wGcTuf5NxAhI78FhP8AFYFkIAqYB+wCYoEn/RtNiEukbHhKVQNHpNVJ8iQzKgshLkbTpi2oWLESo0Z9a3UUUcQNG/YF8fHx3HJLd6ujCD/L7zwISaZpNsE3D8ITwGfZt68zTXNvAPIJUWid7BvhOLAKtLY4jRAiVNhsNu68827Wrl3D2rUyl4qwxsqVf/HXX8u4994HCA8PtzqO8LP8DnM63zCMEqZpLjBNc4hpmp+apjkHKG0YxooAZRQi36J/f44SP7bCuftXq6OclTe2Kt7wEtiPJ2FL33f+DYQQIlvXrt0oVqw4o0Z9Z3UUUUQNG/YFpUrF0b17T6ujiABwnG8FwzBaADWz7zYHHjIM4+gZq9UArvBvNCEunnPvnzgPrgZ13o+4dZTCXaY+YbsX4DiwkqziFaxOJIogwzDuBF4CnMAnpmkOOWN5PWAEEAP8DjxsmqbbMIwb8M2DE4av2Wkf0zR3Fmj4IiwqKppu3XowatR3JCbuo3z5BKsjiSJk3bo1LFmymCeffIbIyOBsxisuzYXUICQDTwPPAAp4LPv2yZ+n8RUc/hugjELkjzsDR/J6NAp3mautTnNOp/ohrLI4iSiKDMOoAAwCbgTqAQ8ahlHzjNV+AB43TbMavu+AftmPjwIeME2zXvbtzwomtTipV6/eAIweLbUIomANG/YFJUqUoGfPXlZHEQFy3surpmmuA6oCGIaxAOhmmmZKoIMJ/9JeLwAqe4xiPfJr9Jw5kJYGkZFQsiSULo0yDLj+WnTLxlbGvSSOQ+tRXjfuUtXRYcWtjnNOWZVvBk8mrkotrY7iF3r+AvTESZCYeKpfRWQkVK6MqlIZ+vZBOYK4VqfoaQ3MN03zMIBhGBOAHsAb2fcrA5GmaS7JXv8b4HXDML4CXjJNc23242vxDWIhClBCQgVuvrkdEyeOo1+/R4mJibE6kigC1q9fx8KFv/H4408SFRVtdRwRIPn6pjZNsyVA9jCnDnxXk3IvP+6/aOJS6awsWLQIPeNnmD0HNeYHqFPHt2zrVljw67+3Ad/J3I4NBZrVn06OCuQOgQnSXBWa4KrQxOoYF0UfOw7jx0ODBtA8eyjZbdtgfN4TOOnoaNSD/U7dn78A6tRBxZcuiLgibwlAYq77iUCD8yy/zDTNTHw1CxiGYQNeA6YENKnI03339WXWrBlMnPgj99/f7/wbCHGJvvxyMCVKlOCOO3pbHUUEUL4KCIZhNASGAbXPWKTwnVva/ZRLXAK9dy/6+x/g+1Fw8OCpBRs25hQQVO+74KZWULw4nDgBKSmQlIRevwEqVjy1r5QU9BNPop57FlW7VkE/lYuSM4NykE6QFur00aPw1dfoocPgUDI89uipAkKL5qgP3/d9hk7WFKSlwY6dkJmBUr5rCvrYcXSfByAzE31TK1Sf+6Bly5zlosDYyL4ukE0B3gtdbhhGGPAtvu+St/Nz4Li4YvnNGpTi462tpYyPb0jTpk0ZO/YH+vd/zO+jyVj9/AJJnlv+/fXXX/zxx++88MILVKlSPiDHuBDy3gVefuv6PwVSgVuANP/HEZdCe73oJ56ECRMhu0kR1a6CLl1Q7dtBrhN8Vasm1DqzqfEZVUIAP4yG2XPQc+eh77oT9fxzQX/FN5RqEABsR7YTtmch7vjauMtea3Wcc9LTpqOfH+grGABcUx/V8NQFZ3XVVXDVVeff0eFkuPEG+GU+zJmLnjMXalSHRx6BHt2kGVLB2QM0zXW/HLDvjOXl81puGEYxYBq+fmpdTdPM17S+ycnpeL2hPbxvfHxxDh48c8yOgnfnnffxyCN9+e67MX4djz5Ynl8gyHO7OP/737uULFmKTp26W/b6yXuXfzabyvdFmfx+C9cBGmX3SxBBRtlsvmZFNht07YK6/15o2PDSrsr2vhP2J8JX38D3P6B/ngVfDkE1b+a33P52/Pqncexfjrt0HaujXJAIcxzRS9/meP3Hg7aAoA8e8hUMpv/ke+D661HP/BeaN7uoz5eqWBH1w3fog4dgzFj0iJGwcRP6if7w2WcwbQqqdHAXRAuJecBrhmHEA8eA7sCDJxeaprnTMIwMwzBuME3zD+Bu4OfsxT8AW/GNauRFWKZRoyYYRg2+++4runS5FZstv3OgCnF+K1f+xZIli3nqqWel70ERkN+/IhvxtUkVQUCnH8P7v3fQS5flPKZeehG1ZDG2oV+iGjW65CYbqmRJbIPeQv02H25oAocOoXv2wvveB2iP51KfQkBkGj051vx9cERYHeWCuMv6mkIF9YzK69bCjJkQHY167x3U9CmoFs0v/fMVXxr1xOOov5aiPvsEqlSBMmUgLs4/ucU5ZU9w+SKwAFgNjDZNc5lhGDMNw7gue7W7gI8Nw9gEFAM+MwyjPr5JMm8AVhqGsdowjJkWPAUBKKW4554+bN++jYULf7U6jiikvvxyMHFxpbnttjusjiIKQH5rEAYDww3DGAxsAbJyLzRNU74gCoDWGiZMRL85CPbv93X2nDMLpRSqUsXz7+AiqGrVYMI4+OgT9AcfwgcfQs0a0KljQI5XlLjK+GoNnAfXgNcDtuDryqNatYKhX/qaFFX0/2dMhYVBr9uhezdITj7VV2HrVvTQ4aiBz6FKlfL7cQWYpjkaGH3GYx1y3V7D6R2XAVaRR4tEYZ22bdszZMgnjBw5lGbNpD+P8K+lS/9k+fKlPPPMCzLvQRGR3wLC19m/381jmXRSLgB6zx50/6dg4ULfA/WuRr31ZoF8GSi7HZ75LzRsAKtWoYKwcBD+9w+gFFlV2qEjQ+MqtI4qjad4JexHd2FP2YwnrobVkQDfULjUMFBNfKMsqa5dAn5M5XRCuXKnMrz8KvwyHz19Orz8EtzRK2eoXiHEKQ6Hg/vv78egQa+xfPlSGjRoZHUkUUhorRk8+GPKlStPjx63Wx1HFJD8DnMq38wW0Vr72mq/9Aqkp0NcKdSrr0DP2wr8hEk1awrNTvVr1Dt3QUxxVMmSBZojL9HL3sOetoPDd/yBJ0QKCADuMvWxH92FI2llUBQQ9Dffoge+AKVKwrIlKIvGV1evv4rOzIRFf6AH/BcmTYaPPwpYTZkQoaxLl1sZNmwII0cOlQKC8JsFC+axfv1aXn31Lb+PkiWCl5zwh4pDyehXXvMVDjq0R/3+G6rX7ZZfTdWJiejuPdC970WfOGFpFnUiGXvaDrQjMihOsvPDlT3ikjNphcVJQI8eg372eQDUM09bVjgAX9M2NXE86v++gNJxsHARulkL9Nff5kz+J4TwCQ8P5+6772fp0j9Zt26N1XFEIeDxePj880+pUuVyOne+xeo4ogCdtwbBMIwOwFzTNF3Zt89K+iD4l86eiVYp5Rta9P13weOB7t2Cp32p1r5My5ejH34Uvhrha4pkAceB1QC44+uCLbSGyXSXvQbtjOb0IecLnp7+k+9KPaBeexXVt4+lecD3+afbrdCsKfr5F2DadPTLr6BatoAqla2OJ0RQ6dHjdkaOHMqIEf/Hp59+aXUcEeJmzpzO9u1bee+9T3DI8NNFyoW82z/hG/v6QPbts5E+CH6kDx5CP/MsqkEDePRhANStwVd6VwkJMHY0uvMt8PMs3wnce+9YUoDJmSAtROY/yM1V4UYOPbTH0g7Ket069OP/Aa1Rzz+Lyv7cBQtVujRqxDD0tOlwKBmVXTjIXZAWoqiLiormzjvv4csvB7N5s0m1aobVkUSIysrK4ssvB1O9ek1at25jdRxRwM7bPsU0TZtpmgdy3T7bjxQO/ERP/wndrDnM/Bn9+RD0seNWRzonZRio776B8HD49jvfnAkWyJkgLRRnULbZrS0cnDiBvvd+OJHhG01owJOWZTkf1aWzb+blkyZNRve6E52YaFkmIYLJHXf0Jjo6mmHDvrA6ighh48ePZd++vTzxxACZW6MIknc8iOiUFLwPP4ru2w+SD0PTG1GzZ6Kio6yOdl6qUUPfOPaAfuVV9F8F35b+1AzKwTnZ2AXxuFAZKQV+WBUZiXrzDWjRHPX+uyFzNV57POj3P4QFv6KbtUSPn5BToyBEURUTE8udd97DvHmz2bLFtDqOCMt9WHUAACAASURBVEFpaWkMH/4FDRs2oXHjG62OIywgBYQgoefOQzdr6RulJSoS9b+3UeN/DMiY84Gibr0F+vUFlwsWLy7Yg7uO4S1eEU9UWTwlrijYY/tJ+OYJlP6/CkQvetmS46uOHVA/jkGF0CgVym5HTZ0MbdtAair6sf+g+zyAPnTI6mhCWKp373spVqwYQ4cOsTqKCEHffDOcI0eOMGDA0yFzwUj4lxQQgoDWGv3xp5CUBA2uR83/BdX3fstHKLoY6tVXUOPGop74T8Ee2BnNkZ7zONzXBBV6rxuAp9hlKE9GTl+KgqAX/YFetTrnfih+EaiyZVDffYP69GMoVgxmzPSNdDTzZ6ujCWGZ2NgS2bUIc9i8WWoRxIXbvz+RUaO+o2PHLlSvXtPqOMIioXkmVUhotxvIHqVo8Ceo119FTZ2Mqnq5xckungoLQ7VonnO/wJt7hGjhAHyjL2llx568EVyB73eiDxxEP/gwumNnS5qE+ZNSCnVHL9Rv8+HGG3zDAr81CJ2Vdf6NhSikTtYiDBsmtQjiwn3xxWdorXnssf5WRxEWyvfZlOHT3jCMboZhNDUMo1ggghVmOj0d7zPPoe+9/9QILFdcgXrkYcuGCA0EvWQJukUr9NatAT+W7ehu8HoCfpyAckbhiauB0h4cB9cG9FBaa/QT/eHQIWjUEOrXC+jxCoqqWBE1YRzq7bdQnw9GhYUByJwJokg61RdhDqa5yeo4IgSY5iamT59Cr169SUioYHUcYaELKiAYhlHFMIz3DMPYB/wNzAAmAL8Bhw3DmG8YRk/DMEKvfUIB0wt+RTdr4Rvt59ffYMPfVkcKGD1qDGzchP5P/5zaksAcSFNyzI2UHnoZ6viBwB2nALjKZE+YFuhmRmPGwvwFULIkasjgQlUwVTYb6oG+qGtOjWaln3oa73MDg35EMCH8rXfv+yhePIYvvvjU6igiyGmtef/9t4mNjeWBB4JrmGtR8M5bQDAM431gPWAALwC1gVggHCgPdAAWA+8Aqw3DCL1B6AuATk3FO+C/6NvvgD174eq6qDmzULVrWR0tYNRbb0BCAqxYCZ8HrorbfmQrtowUtDMaHRkfsOMUBHf2HA4nR2QKBJ2UhH71dQDUoDdR5csH7FjBQO/YCeMnwNffoFu1Ri9bbnUkIQpMTEwM997bh99+W8Dq1QXXv0mEngULfuGvv5bxyCNPEBMTY3UcYbELqUEoDlQzTbOraZrfmKa50TTNo6ZpukzTTDJNc55pmi+ZplkVeAuoEdjIoUfP+8U3QtGo0RAWhnpxIOrnGahahbvzj4qNRX3yEQD6g4/Q27cH5DiOxGUAuMo3hBDsZJtbgRQQnn8BUlPhplbQvVvAjhMsVJXKqNk/Q82a8M8/6C634H3pZXR6utXRhCgQd911D3FxpRk8+GMZBljkKSsri48/fo+qVa+ke/eeVscRQeBCJkp72DTNfReyM9M0x5umOerSYxUuevlySEyEa69B/TIH1f8JVBGZsly1aO6beCsrC/3cwIB8OTn35yoghDh3XC3Sbv6StI6jA7J/vXs3/PY7REeH1HwHl0rVroWaPRP6Z4+uNWwE+oZm6J9mWBtMiAIQGRlFv34Ps2LFcv788w+r44ggNGbM9+zevYunn34eRxE5PxHndjGdlGsZhvGgYRgPGYZxXSBChTrtdqO3bMm5r54agPrwfdRP01BG0Zv2Xr3yEpQo4TsxnTLV7/t3Ji4FCkcBAbuTzBp34YmrHpDdq4oVUYt+Qw0firrssoAcI1ip8HBsL76AmjsLrqkPiYnoX3+zOpYQBaJ7954kJFTg88+lFkGc7vDhZIYP/5KmTZvTpIlMiiZ88lVAMAzjUWAt8B4wCFhmGMYq6Xdwil62HN22PbprN/SRI4DvxETd3btQdQTND1W6NOrlF6F0aXA6/bvvzFTsyRvRNifu+Kv9uu/CSiUkoFrfZHUMy6g6dVAzpqM+eA/10gs5j+utW9EZGRYmEyJwnM4wHn74cf7+ewNz5862Oo4IIp999hEZGRk89dRzVkcRQSS/NQgvAO8DpUzTLA1cCfwJLDQMo/D2tr0AesdOvA88iO7UBdath4hw2L3b6ljB4647UX8uQnXq6NfdOvb/hULjLlMPHBF+3bdVbEe2E/3bM0T9+Ybf9qm3bUOP/Dqwo0mFEGW3o+65G1WiBAA6Kwt9593oG5uhp0yVK6yiUOrYsQtXXnkVgwd/hMslc4QIWLduDVOmTOSuu+7l8surWh1HBJH8FhBKAkNN0/QCmKa53TTNR4FPgSI5E4tOTcX72hvoG5vBtOkQGQFPPYla+DuqTh2r4wUNZbOhYmNz7vvrBMxVsQWH71xMetO3/bK/YKC8LqLWDCXi71Hgh9dJa41+6RX0wBfQH3zkh4SFUOJ+X6F+127f5HEdOqOX/2V1KiH8ym638+STz7B79y7Gjx9rdRxhMY/Hw//+9wbx8fE8+OAjVscRQSa/BYRlQF5nvSOABpceJ/Tovg/CF19CVhbc1gO1eBG2559DRUdZHS0o6WPH8b77PrrfQ/7Zoc2Op3Rt3IWh/0E2T8lqeCNKYT+WiC1tx6XvcM5c+GU+xMSg+va59P0VQqpyJdT8eagP3vM1hVuxAt2xM97e96DXrLE6nhB+c8MNTWnYsAlDhw4hLS3N6jjCQlOmTOTvvzcwYMCzREfLnLfidPktIMwC/i+PzslXABc00lGo0+np6AMHc+6rh/rBDU1Qc37GNmQwqoLMPHhOx47B0GEwbTp6wa9WpwlOSuFKaAyAc9/iS9qVdrnQr/maKqln/ouKL33J8Qor5XD4mh0t+xOefAKiImHOXHTfB9GeEJ+lW4hsSikGDHiGtLQ0Ro4canUcYZHU1CMMHvwR11xzHe3bd7I6jghC+S0gvAWUA5YahvGLYRgfGIbxEfB/wH/8ni6I6P378Q56G33N9ejXc7UNb30TtskTUfXqWRcuhKgy8agn+wOgX33tktrE25M3UWJ8GyJXFL4ZQl0JTQBw7v3z0nY0ajRs2wZVq0Kf+/2QrPBTxYphe2EgavkyePQR1LNP5wwwoPfvR//6m/RRECGtevUadOrUlTFjvmfv3j1WxxEW+PTTDzl69CjPPfdSkRnuWuRPfgsIxYCGwKPAFqAZ8DBwOTDcMIyfDMMYZBhGD//GtI5etw7vY/9BX9sAPh0MR47A3r1olwtA/mNdjAcfgEoVYZMJo8dc9G6ciX/iTFyC4+BqP4YLDv6oQdDp6ej3PgDwTc7n5xGkCjsVXxrba6+get6W85gePhLdsxe6xU3oMWNl1CMRsh5//EmUUnz2mfRLKmpWrVrJpEnjueuuezCMwAypLUJfvgoIpmlmmqa53DTNodkTqDXAN9Py1fhGONoK3AgM93/UgqVXrsLbph36pjYwfgJ4PNClM2rGdGxTJsnJ1iVQERGol14EQH/4MfrEiYvaT6Ga/+AM7vir0Y4oHEe2oo4fPP8GeRk1Gg4dgmuvBT+PHlVUqfLloEwZ2LgR3X8Aum59vC+8hN7wt9XRhMiXsmXLcd99DzB79kxWrFhudRxRQFwuF4MGvUq5cuV5+OHHrY4jgtglT5dnmqYHWJf9890lJ7KIdrlgz17U5VV8D5QqBavXQEwM3HE7ql8/VKWKFiYsZLp0hs8+h/Xr4Ztv4ZGH870L517f1fXC1EE5h91JRo070DYnyuviohq09O2Dio4Gw5CaLj9RD/SFu3vDlKno4SNg7ToYMRI9YiT6qQHYnn/W6ohCXLD77nuAqVMn8e67gxgzZiL2IjpXT1Hyww/fsHXrFj755AuioqKtjiOCWL5nUi5MdGYmmT/Pwdt/ALpWXXTvu3PaFqsqlVE/jkGtW43tzTekcOBnymZDvfA8wEUNJ2lL24U9bQfesFjcpev6O15QSG/5Mceav4e3WMJFba8cDlTvu1DXy4Tn/qTCw1G398Q2bw7qlzm+vh2xsahmp2Yg1fMXoIePwLNnr4VJhTi3yMhIBgx4ls2bNzF58nir44gA27t3D0OHDqFly9a0aNHK6jgiyF1yDUKo0UkH4KcZ6AULYNEijhzP1bylbBlfH4OSJQFQLVtYE7KouKkVavpUaHB9vjd17l0IgKtCE7DJVa/c9IGDoDWqbBmroxR6qk4d1Dt10K++DBGnJurTI7+CufM49OLLUKMGtGqJatUSGlyPCg+3MLEQp2vTph3jxo3m888/oU2b9sTExJ5/IxFytNa88cYr2O12nnvuRavjiBBQqGsQtNeL/nsjet36Uw/+/Td64Au+seGPn8BRtzbq2WdQC3/FtvA3VHbhQASeUgrVsMFFNX8J25NdQLisqb9jBRXbkW1EbPgestIveBv97rvoBg3Rk6cEMJnITUVGnvY5Vrf3hPbtICoKNm6EIV+gu9+GrlYd77vvW5hUiNMppXj22RdJS0tjyJDCNyKc8Jk6dRJLly7mySefoVy58lbHESHgnDUIhmE4gcYXue8/svsnFAh9/LhvVJz1630dBjdsgA1/+8bdb9cW9d03vhUbN4Jut6KaN4MWzYmrW42DB48WVExxFnrjJli37rQRY84l84quaFsYWZVuCnAya8XM7oszaSWe4hVwVTp/lbDesRPG/AheL9SVmbytorp0RnXpTOmYMA7+9Itvzo/5C2DjRlRM8Zz19C+/oF96FWrVRNWuBbVqQe1aUK6c9BsRBcYwqnP77XcyduwounS5lVq15G9HYXLw4AE+/PBdrr32Orp372l1HBEiztfEKBb49iL2q4H6QOpFbJv3DrWGw4dhfxLs3An/7IAe3VBly/qWP/U0TJr87w0rJEDCqTbcKiIC9X9f+CuW8AO9eze65U0QFgZNb0SVP//Vjayq7cmq2r4A0lnLldAEZ9JKnPsWX1gB4cOPwO2GXrejrriiABKKc1Hh4ahmTVHNmsKrL6MPHgJHriZxa9f55qnYtg09bfqpx2Nj0VdeiZoxDWXzVfTqDX9DbAyUKYMKCyvgZyIKu0cf7c/cubMZNOg1vv9+nHRYLiS01rz99htkZWXyyitvYrMV6oYjwo/OWUAwTfMQvjkO/E4fP4E+fBhS0yA1FdLSfO3/S5VCtfZdFdZJSej7+kBSEiQdgOy5B05S1atBdgFBXV0XvXEj1KyJql0batWEWrVk5tgQoCpWRHfsANN/Qn/8Keq9d6yOdBqv9uLSvgndsrwu3NqDHVuBXOF1VWgKqz4nbPdvHG/00jnX1Vu3+obkdThQTw0IeDaRf//6e/ToI76/dxv+Rq9f76v1XL/B9zfx4MGcwgGAvv0OOHDAd7t0aShXDsqVhbJlUV27oFo09y1LOgBbt0KJElAiFooXR+eqtRAiL8WLF+eZZwby3HNPMX78GHr16m11JOEHc+b8zIIF8+jf/2kqVw7I6ZwopM7XxKgskAgXNcpivGmah8+2UDdtjt6561+PpzeoRkx2AcET4cC2YmXOMnfxCLLiipFVvgQZFUsREX2MUtnLEntdx672uUvGm+H4FtROsOPgusr35SxZu3c8mW5fm+5iyREcS8/0LVCKMtFXUSnON4vt0RN72XxoQc52Sp3cv+/EsEZ8OyLDfX0Wdib/QUrGntOWq+zf0c5SXFkm+zl53WxI+xNtc6BtYWALQ+XqZFvRmUApewkADrqT2e8+kJPt5D4VCjs2qodfmbPdP1m7yNIuX7v+nCP7bpWwxxBn9+U84c3ggCcZlWtfuVpOU8ZRGqfyfSxSPWlk6KycdRQqe//gwEmMvRjgu0Jx1Jues4+T65zce5gKw6Hs2cc/QZr3GB7twYMHt3bjwYNtQC8q/zQDNXoMekB/VPnyrMxYR7r3OG7twqXduHH7TtT3/UE1VYZale9Bh8eyx5XI1PTZvnW0+7R13drNf+Meynn+w1J+YGnG6pxlbk5tUzvc4H9lBgKQ5knn5t29cGk3XrynPlY7fb/+Fz+Q9sVaAvBd6gQ+OzwShQ2bOvn+2HEqB8VtxZhe8ZuczZ9OeoMDnsM4lQMnDpzKSZhy4lQOmkY1pGMx3+dkt2sfE4/OxBnjJbZaRZzePbiSf8DhjMGJgzbFmlPc5huiblPmVg57jlDtnQ8p5fWS0qsDyQkenFm7iLJFUdbhOyn1ai+p3qPYUKdlPXnfqRzYs9+nnNG8lEJrzal/oNE5n5GTn6l0j4107zHfcu1by4smXDmJtEUCkKWzOOI5mrMXLzpn36Ap44jP2e8BdzLHvcd965zxL1JFUNHpqxV0aw+bsrb69qFP5fNm36rirEhJeyy4jrE/7W92u/ehtQetPaA9aO1Fay+UNGgc7ess70hawdLjq8ji9AsSAN6IkpSPa0LVsEqQlU763tmsZf+/1gNwl6hG+1K+Wi578kY2pi7hANn/T3L9RdUx4RS/5Qbq9brdd3/bdJYeXocz5TjHt/nahCu3hzql7YQRS9iho6hDh3xzXKz39a/aWuYAiRV9EwaWmbmOam/OOC2LrlwJdshcDeLc2rRpz+TJE/j880+46aY2xMdLwTKUHTx4gLfffp3atety9933WR1HhJjzNTE6yEXWIJyrcACQGa5IiXdwtJido8Xt2b9tZFRK4+Q0zFnhXh4eXpXkOCeH4hxkRuQuAJzgPdc62tAFgN/3jeKdqA2nHyT7SzjK7WEx9+U8/PqR/2NbVPZJedrpm9y/twz9swsI2w4uoK/n7FM7TE2rQOX4ZgCM3PM+02KO57leg2QYll1AyHSncU/Km2fd57vem2l7xTMAzEn8lvfds/JcL0KFs6TKqSYJTx54jZ2uPXmu2zumG0/H+eYZ2JC5mQf2P33W40+uMILLwyoB8L/kIcw6tiDP9a6NqMPI8h8CcEJn0GxX97Puc1D8czknvuOO/sTHh/OYRy8aPmhVkla/HEZ/PgQ16C1eO/gRu9x5DBMZBg9u20edUq3whMeS6D7A8COjz3r8B0vclVNA2O7azYqMtXmuV8YRl3Pboexk6izAV9Bx4ECp7JNP7cWWq1jl0V7ceADP6UVpDZ7chQtgU9Y29rgT8zx+OcepUYf2uZP4JnWc745Rwfc77dRnsUFkvZwCwlepP7Jt7Wx+nL4Fl0Nx1+1b2L/X935fH3E1w8v7OsWme4/RctfZ+3i8G/8ibYv5rkJ/kzqOT1NG5rlecVsxFlaelHO/+95+7NuZlOe698feTv9SfQFYkbGOR/YPPOvxf7rsWy5z+pqXvZc8hHnHF+W5XsOI+gwt/66vQPDHC/SusOqs+3yvzEu0iW5G+Nap/PrPG7xTo1Lez+lgNAujfU0Uoxe+yOvVj7MrOuLfK2bAfenpPFnqAezHEtn9Z38ebVwz74MfgcWuhkQRQ8Tf3/OtbTYzErI/Y7krn7zQMGWb7zkBzvkP83DrWpC7siEM+Nr3wPulBtL6RA3Clv7A/HVf8mtkCVbV28l2m+89aBaTxj31oiiRpql6PBbSL7yDuyjalFIMHPgKt93WhXffHcS3335ldSRxkbTWvPnmK2RkZPDmm+/gcBS5QSvFJVInrxQWoCrAP4/O7cTBE/8+USpzNJwyW9v67qgM1tWfA+RdhVHrn6rYU2oD4CrzFxsq7kNlX4/MvY3Tq6i9qkvOdv/U+omUSM9p65z8vjb2lyR6j++kXxfbzooa6047Zu4c169tBJm+Jk6Hq85la+ljudZTOWtXOBrGZRs7AGBTx1jaYFb2MfW/ntn1Wy5HH/aNW28rt4ClVZJPPR8FXsCNA5vXwQ1LOkB2rcasa1aQHnkCnevEQyvfltX2VqDe9qoAHIg9wvyr1+YsO5VXg4JOyxoQczwKgEU1/2ZH2STf8bPXP3m7TEoJ2q28FgCX3c2olr+etjz3a9V8XW2u2O878dtYcTcrrtyKTSuUVti8Cpu2YdOKK7dk8OWjK3E7HIzq349ZjXdwPDwTm1bYvb51Ir0u6no20OBgBhsO9ANlIz3iBOZle33rnNxf9m+710blA/GEuX0zXx8udpSMsCxsXlvOevbs306PnajMiJzXw2Pz+tbj3E2JNBqtNFrlvq3x2DRaeXP2CZBcPA2X3YPX5sVj8+K1aTzKi9fmpcSxYpROiwEgLfI428vvx6u8VFA7SFC72GMrxzZ7ZTw2TUOzGhEuXzv0lVdsIyxtF31GbGVvhUgGP1EVr/LisWnKHomlxTrfPBGZDhdjm/+e89nQKtf/FaVpuaYuVZPKAbCq6jaWG1vOfKIoIMzl5N5fTnUOH3/jIo5Gnjj1KunsGiStqL2zMtdu9dV0JZY8zLx6a3LWU/pkPZdv352XNqR4hq+2YXGNDSSWTsKBB6d248SNU7vR2LAfuYJmG3z/7x/hPe5tXDX7eGT/9v3vSyUWY8u1VDgcx1VeE11uEeMrl8xeT532nA56KnHTat/n+WbPbL6ue5zD4f9ug31CRVJifw2MvZdRXKdSvdjPjDSi8vxcHFKlabTuWqKywqnvXcnKqjtYX/LfX9JuHLjTr+L6LVcB0IHxvFc/76FQU4nlih11KZdSkkp6B64yfzH3srz7Ixz0VKTl2voAtCu2nob/HQ++Cz478tyg4FQB/klOTsfrLfDvH7+Kjy9eKAe5GDHi//j8808YMWIE11134/k3CEGF9b0D33MbPvwbXnvtRZ5+eiC9e99rdSS/KuzvXSCem82miIsrBvn4DrCsgBAsXw6Wf9C0Bq8L5UpHZRxBR5ZGh/tOEh37/iRs5zzs6XuxHd2L7ehu7Gk7UNqLu8QVpNxz6sppzNTueEoZZFXtiKt8Q7Bd2tUCq14X7733w8+z4JGHsb3+6r+WR6z/muLz+5N55S2kdSj4ibuteF0c+/+ixMQOZBi3kd56yDnX1W43yk9Xik42/znZtOxc/Pm6RKwbSfSil7G5/n3l2xNdjsN9zJwmdxHrv0bbnOiIOLyRpdARpfCGx4IjEu2IsnyODMv/vmS7mC+HAKpCEH0HXIpgeX/9zeVy0bt3T1JSkpkwYXqhnBuhsL53AJmZqbRq1Yrq1WsyfPi3ha5jcmF+74KpgCB1TlZTCuxhaLvv5CY3d0Jj3AlnjDLrzsCeshlb5qkBomxH9xK+cy7snEvUqs/xRpQk86ruZNS6G3d8vZyTqVCg/jsAHVcKdf99eS4P2+Vr8pRVyOc/yM1d9hoOPbQTHJHnXddfhQMgpz9LIKkTyURsGou7dB1cFX01d96osthc6bhLXIG7TH3cZerhjr8ad3ydf/0fyah9f0DzCVEUOZ1OXn99EHfddRsffvgur7/+ttWRxAVyu908/vjjALzxxv8KXeFAFBwpIIQaRwSe+LrknmDCGxXPkW4zCdsxi7DtM3Ac2UbkuhFErhuBu3Qd0tqOxBNX3bLI+aHq1kV99GHeC71unCcLCJVbF2AqiynbWQsHetdu9Cuvovo/gapfr4CDXTz7wbVErhlKhDke5ckg88pbcgoIWZVakXz/RrzFK1icUoiiq3r1mjzyyCN8/vnntG3bgSZNCmdTo8Jm5MihLF++nEGD3qdChcusjiNCWL6KloZhvGwYRifDMOSbO5jYw3BddiPHbnyLlHtWcfjOxRyv9yjeiFLYju4O2RMtrTU6MzPnvjNxGbasVNwlrsQbWwSHa/O4sB82T3tID/4cZv6MHpF3h+JgYz+0gZif7qDUmBuJ/Pt7lCeDrMqtyTBydZ52RoXsZ1aIwmTAgAFcfnlVXn/9JdLS0s6/gbDU6tUrGTbsC7p160bHjp2tjiNCXH7rnjoBPwK7DMM4aBjGHMMw3jUMo5dhGNUNwwidtiyFmKd0bY41e4fkvps50u0ndFj2UHWu48RO7krYjtnWBrwAeskS9E1t0J98dupBrwtX2evIuryddcEsojIOEzesCiXG3QQe3/CbOjERxowFpVD9/2NxwvOLWPcVJUc3IXz7DLQjkuNXP8zhe1aS2nUSWVfIl5kQwSYiIoK33nqX5ORDvPPO2UffE9Y7evQoL7zwDOXKlWfQoEFWxxGFQH4LCCOBPcDTwGvAP8DjwChgA3DUMIzFhmGcuyelKBj2MDzxdXPuRq7/irDdC4iddhsx03piS897uM2gsX49DB+Bzr5y5arYnCO3z+fYjUXvj5+OKIW3WDlsWWk4kv7yPfbF/0FWFnTqiKpWzeKE55dZtSM6Kp7jVz9M8r1rOdb8PTwlrjz/hkIIy9SqVYd+/R5h5szpzJ79s9VxRB601rz++kskJe3n7bffJyYmxupIohDIbwHhVeBe0zQ/Nk1ziGmaDwEGsBToBTwA/A5U9W9M4Q8n6j5I+o1v4w2LJXzHLEqOakj4xjG+kZSCjGrUCJo09s2wPfKMsbhDqNO1P2VV8g0tGv7PbPShQ/CdbxQn9eQTVsY6K1vaLqJ/ewa8vlmodXRZku9bz7Hm76Gjy1qcTghxofr2fYjatesyaNBrHDiQ95wnwjpjx/7AvHmz+c9/nuLqq+tbHUcUEvktIJQAknM/YJrmHuAF4EHTNMeapvm8aZrt/RVQ+JE9jBPXPE5K72VkVmmDLfMIMXMfovis+1FZwTdkmPrvUwDoocOw/7MI+6H1QVmYKShZVTsCELb9J/Sw4XAiA25ujapTx+Jk/xa2ZTIlR99A1JqhRK4cfGqBI4/Jx4QQQc3hcPx/e3ceb1O9/3H8tfZxRsc5ZChTqPQpUaiufkkDug1uIppIpVvSyEUhSnOUKFNXlOY0hzRImtzmuqLS93KvpAll5sxn/f7Y2+kknHmvc/Z5Px+P83jYe6/h/T3O3nt91vqu75c77hhHdnYWN944kvz8/KJXkqhYtmwp9957NyeccBIXXqhR3aT8lLRAWACM2M3za4D/283zUgnlpzZkyxnPsaXrNPLja5G04kUSVlXCS8fHdYSjj4YNG6lxzxD2eepYEle8WPR6MSqn0bHkJ9Ym7tf/FLp6MCjgVLvIyyH1nWGkv3YRoezNZLU4nczDLgw6lYiUUbNmLbjuvAMS3gAAIABJREFUuhv4+OMPmDVrRtBxBNi8eRPXXz+Y+vXra0hTKXclHeb0GuBzM5sHjAe+ABKB0cAv5ZxNKpLnkdXqAnIbdiDxPy+QdfDZRa8TZZ7nwZBB+OdfQNbr35N/UBzZ+58UdKzgxMWT3eI0kr59muSJ55H5Q2O8o48KOlUBL3Mjaa9dRMKad/BDCWzrdAeZhw+otl3CRGLNWWedzSeffMS0aZNo3/5o2rVrH3SkaisvL4+RI4exfv16Zs16kvT02kFHkhhTonIz0p3oKCAXWARsAtYC5wDXl3s6qXB5dVqyo8OIgoO4uE0rSfo6+jMU71HnzngHN8HPg0yv7Z8myqpusg78GwAJ/v/wLrs04DSFbP6B2s92JmHNO+Qn12dTr/lkHnG5igORGOJ5HqNH30LDho0YOXIomzdvCjpStTVlyn188MFiRo68kTZtDi96BZESKvH1KOfcGudcT6Ah4WFPuwHNnXPVt+9HrMjNIH1OL2q9dTUsGFkp+vt7nkdqv/rUv2YHeV36Bh0ncFn5B7HhnHfYetojQUf5o5oNyE9vQW69Nmw87x1yG3YIOpGIVIBatWoxduwEfv31V266SfcjBOGNN15j1qwZ9O59Lr16nRN0HIlRpe6w5pxb55x7zTn3unNufXmGkoDUSGbHUUPxvTh4fyyp7wwBP9gPf2/HryRnfwhJNchq2TPQLEHzMzPxe55HTq9B+OvWBR3nj2oksPn0x9nY+w3yazUNOo2IVKDWrdswZMh1vPvu2zz00PSg41Qrzn3LmDE30LZte4YPHxV0HIlhRRYIZnZkcTdmZklmdmjZIkmQMg+7kC1nzIYaiSQve4jUt/8RaJGQuPJlPD+P7KYnkZ+XhD/rUfzc3MDyBOrpZ2DdOkhMggYNCG39MdCrPPFr3iNt3nmQG5ntOr4mJKQGlkdEouf88/tx+ulnMG3aJBYvfi/oONXC+vXruPbagaSlpTF+/P3ExycEHUliWHGuIMwxs5fM7BQz2+3yZtbYzEYAK4CO5ZpQoi67+SnQdy5+XBLJX80i9a1rAisSvPwc8hPSyTq4N37vs/GHj4C58wLJEiQ/Jwd/cni4UG/wtaTP70PdWYdSY/3SQPLU+OlD0uedQ+KqV0la/kQgGUQkOJ7nceONt9KypTFy5DDWrPk+6EgxLSNjB4MGXcGWLVuYNOmf1KtXP+hIEuOKUyAY8BXwBLDZzN4zs6fNbJaZzTGzlcD3wMnA+c65mRWYV6LloL+yufuz+DWSSf7mcRJWvxlIjIy2V/Db3x1ZLXviXRC+B8G/fxJ+dev3+vwL8MOPcHBL+Fs38mo1ASDp60ejHqXGL5+SPqc3Xu4OMg/tS2Zrjb0tUh0lJyczYcJkPM/jH/+4im3btgUdKSbl5eVxww3X8+23yxk37l4OOUQdNaTiFVkgOOe2O+duBJoA/YDPgCTCNylvAaYChznnujjnFldkWImunKYnsrn782w77vbwVYWgxKeEJ9g652xo1AiWfwuvvxFcnijzc3Px75sEgDfoWrxQiMzDLgYg0T0HOTuilqXGuiWkv3wWoZytZB7ci61dpoCnsbdFqqsmTZpy990TWbXqfwwfPoTc6toFtIL4vs+9947j7bcXMmzYCI4/vhoP9S1RVex5EJxzWcDLkR+pJnKadCKnSaeCx96OX/GT61b88JW5mSSueIGsg3qE+7YDXkICXH0l/g2j8e+7H047NTxXQqybMxdWrYLmzaFnDwDy6h1Gzr5HEb/2MxJXvERWq4of4Snu169Jf7lHeAK0A89g68kPQiiuwvcrIpXbMcccy8iRN3H77WMYP/4uRoy4MehIMePhhx/kqaceo2/fi+jTR5NOSvSUy6k/M2tkZvrLjXGhTf+lzjMnkPrudRV+c2ySe460N68gfU7vP77Qtw/UqwdLvoS336nQDJXKvvviDboGr8bvNX1Gm0sASF7yQFRuVk75YhKhzA1kNT+FLafOgrj4Ct+niFQNvXufy4UX9mf27Cd5+unHg44TE1588TkmT57I6aefwdChw4OOI9VMefUNaAPMKqdtSSUVt3UNoe1rSV76IDUXj664g1I/n+Qvwl1qMltf9IeXvORkvCsGhhe77/6K2X8l4/U6C+/Tj8JdrArJOrg3+SkNiP91KfE/vFvhObZ2nsT2Y0az5fTHIU6jZ4jIHw0aNIwTT+zC3XffyRtvvBZ0nCrtrbcWcPvtY+jYsRO33HInoZC6ckp06S9Oii2n6Yls6fYEfiielH9PJuXD2yqkSEj47g1qbHTkpTYmq2WvPy/Q/yLo1Anv8gH4lWAyt2jwkpLw4nc5Y18jiYwjLsePSyJu44oK2W9o20+QmxnZXyI7/nJ9+H4QEZFdxMXFMXbsvbRt255Ro67ngw90W2JpvPvuIoYPH0rr1odHhjPV1VqJPhUIUiLZLU5ly2mP4Htx1PxsPCmfjCvfHfj5pHw8FoCMtlfuthuLl5pK6IVn8bqdHtP3IPjvvIs/fgL+pk17XCbj8AH81v8bMg+/rNz3H9r6I7WfP5X0V86L6o3QIlJ1JSUlcf/9D3DAAQcwdOi1LFv2ZdCRqpTFi99j2LBBmB3C1KkzSE5OCTqSVFMqEKTEsg88g62nzMT3QtT8+E6SP5tYbttOXPEy8ev+TV7NhmS0+Xux1onFqwi+7+OPuxv/7ntg9jN7Xi4xHT+lXrnvP7T1R9Jf7Ebclu/wMjfi5eeU+z5EJDalpaUxdeoM6taty1VXDWD58q+DjlQlfPDBYoYMuZqDDmrJAw/MpFatWkFHkmqsyFGMzOz0Ymyn2LMtS2zIOrgX5GVT682B5TeiUV4ONT+8BYAdHUaEhzfdC3/tWvy7xsHWrXgPzSifDJXF+4vh8y9gnzrQr1/Ry+fnkfjt0+Sn7EtO85PLtOvQ1h+o/WI34javIqf+EWzu8RJ+YnqZtiki1Uv9+g2YPn0Wl156IZdffgkPPjiLQw5pFXSsSmvRojcZPnwILVocyAMPPERamj5zJVjFGeb0lWJuK/ZO48peZR16PrkN2pJXt5wmbYmLZ1unu0he+iCZrYpxUOyF4MWXIDMT/+tv8A6LnS8ff+J9AHgDL8erWfQl5kT3DGkLrySvZkM2XvAxfmLtUu03tGU1tV88g7gt35HToF24OEjap1TbEpHqrXHjJsyY8WikSOjP9OmPaJKv3XjllTmMGXMDhx3WmilTHlRxIJVCcboYpTjnQkX9AIdUdFipfAoXB3EbHCkf3Ql+6Wc5zj7gdDb3eBlCRdeuXoP60C8yu/KE8uvmFDT/ww/hXx9AWhpcUrxZirPsXHL2+wtx238m9b0Rpbp5PLR5FXWe6VyoOHhZxYGIlEmTJk2ZOfMxkpNTGDDgYpYs+SLoSJXK008/zujRwznyyKP55z8fVnEglUZxCoRXzGyvw5aY2UBA7/rqLC+HtFfOp+YnY6n1Wn/IzSj2qqFtPxO/pnTDdHpXXwWJiTDvFfxly0q1jcrE9/1wtynAu3wAXlpa8VYMxbG1yxT8uCSSlj9F0tKSd7nKr9WUnH2PJLvpSWzuORc/qU6JtyEisqsmTZry0EOPk55em4EDL2Hx4veCjhS4/Px8xo+/i3Hj7uDEE7swefJ0UlJqBh1LpEBxCoTDgNfN7E9/uWbW0MxeA6YBr5d3OKlC4uLZduK95CekkbTyJeo825W4Da7I1ULbfyF9Tk/SX+5Bwso5Jd6t17AhXByeK8Efd0+J1690Pv0MPvoY6tSBgQNKtGpe3UPY2nUKAKnvDSfx29nFWCkbb8e68L9DNdhy2iw2d39e9xyISLlq3LgJjz76FC1aHMDgwVcyf/7coCMFJiMjg+uuG8QTTzzK+edfwL33TiIxMTHoWCJ/UJwCoRPQDFhgZgWnM83sXGAZ0B44xzl39h7Wl2oiZ/+T2HT2AvLSW1Dj12XUefo4Uj68DS9r826Xj//xX9R+7mRq/PYNebUPJKdRx1Lt17v2GkhJgQVv4n/2eVmaELyjj8Kb/STeHbfhlWIEiyw7h+0dRuL5eaQtGEDCqj3U7b5P/OqF1HmqI+nzzoO8yChF8TU1Q7KIVIh99qnLjBmP0a7dkYwadT3Tpk0iP7/0XVKrop9//om//70fixYtZNiwkQwfPpq4uLigY4n8SZEFgnNuJeEioS6w0MwOMLOngaeBBUAr59zzFRtTqoq8uq3YeP5iMlpdgJeXRc1P7yH9xTMKXg9t/o6kZQ+RPucsar9wGnFbVpPToB2ber1e6uE6vfr1YMCl4dGUPviwvJoSCM/z8Dp3xuu9mwniimlHh5FsO+528tKak934uILnE/47n4SVc0j56E7qPHUsteecRY2NjlDmb4S2/VAe8UVE9io1NZVp02bQo0cvHnxwGtdfP5iMjOoxz8qnn35Enz69WL16FRMnTuWCCy4KOpLIHhVnFCOccz+YWSfgDeA/wFqgp3Ou5H1CJOb5CbXY1nUama0upOaHt5HVskfBa/Frv6DW2/8ILxdKYMdRQ9hx1FCoUbbLq96VV0CPHnitquYIGX5+Pvzvf3gHHVQu28tofy0ZrS+BhFQAvIzfSJ9//h+WyU9pwI62V5HR9grNjiwiURMfn8CYMbdz4IEHMXHiPXz/fR/uuec+mjVrHnS0CpGfn8+jjz7M5MkTaN68BRMmTKZ58wOCjiWyV8UqEACcc+vN7ETgVaA28HFFhZLYkNvoGDb3mv+HEXVy67ch89C+5DRoR9bBvfCT65bLvrzataF26Yb2rBTmzMUfeCX+lVcQGnNj+WwzUhwAeLk7yGp+KsTFk1erCTlNTiB7/y5lLsxERErD8zz69etPixYHcsMN19GnTy9uvPFWTj21W9DRytXatWu56aYRfPzxh3Ttegq33HIHNWumFr2iSMBKM1Ha/ZGfd8zsOiBv5wvOuVfLN57EhEITqeXVacnWkx+osF35vg/vvQ9JSXgd/lJh+ylPfm4u/t3jwffxDmhRIfvIr9WULd2frZBti4iU1nHHHc8zz7zEiBFDGTFiKJ988hHDho2IiRF9Fi58g9tuu4msrGxuuuk2evbsjVdeE4uKVLCyTJS2H1C4i5EP6E4bCdaLL+FfcRW0aQ1vvoEXKs59+AGb/Qz897/QvDmcd27QaUREoqphw0bMnPkYDzwwiVmzZvLhh/9izJjbOeaYY4OOVirr1q1l7NjbWbToTQ49tBV33TVeXYqkyimyQIhMgiZSNZx+GjRqBMu+gmefh/POCTrRXvnbtuGPvRsAb8T1ePEaQUhEqp/4+HiuvXYoxx9/EjffPIqBAy+hZ8/eXHvtUOrUqRpzsuTm5vL8888wZcpEcnJyGDRoKBdccDHx+lyXKkgH/xJTvORkvFEjAfDvvAt/e+UeHcOfMhXWrYMj20PPHkWvICISw9q2bc/s2S9x8cWXMnfuS3TvfgpPPPEoOTk5QUfbI9/3ef/9dznnnDMZO/Y2WrVqzXPPzaV//8tUHEiVpQJBYk+vs6DtEfDLL/hTpwWdZo/8H3+Eaf8EwLvlZvVNFREBkpKSGDx4GM8+O4fWrdswfvxd9O59BvPnzyM3N7fU212auZwJGx7klvUTuO37ySzNXF6mnL7v8+mnHzFgwMVcc83l5ObmMmHCFKZPn8X++zcr07ZFglbsUYxEqgovFIJbb8bv3hOmTsXv1zc843JlUyMeup8B2dl4fzk66DQiIpXKgQcexLRpM3n//XeYNGkCo0Zdx/TpU7jkkgGcdtrfij378IrsVYxZP55vslf8/uQ2+CdP0SqhJbfUH0bLhOIPEJGXl8f777/Lww8/yNKlS6hXrz7XX38DZ599HvHxCSVtpkilpCsIEpO8Y46Bv3WDjEz8SVOCjrNb3r4NCE2ZhPfA1KCjiIhUSp7ncfzxJ/Hss3OYMGEyKSk1ufnmUZxyyglMmHA3q1d/t9f1V2Svov/PQ/5YHBTyTfYK+v88hBXZq4rMsnbtL0yfPpVu3boyePCVrF+/jhtuGMP8+Qvp0+dCFQcSU3QFQWKWN+Ym/P33xxs2JOgof+Dn5oaHNI30TfXiNPiXBMfM+gCjgXjgPufc1F1ebwvMBNKA94CBzrlcM9sfeAJoADigr3NuW1TDS7URCoXo3PlkTjqpK5988hHPPfc0Tz75KI899jCtWh1Gly5/pUuXk2nWrMUfumvetP4etuVv3+u2t+VvZ8z68TzV+I8na3zf58cff+DttxeycOECvvzy3wAcc8yxDBs2ghNO6Kx7DCRmqUCQmOU12x/v5puCjvFn02fgP/MMTJyAd2T7oNNINWZmjYE7gCOBLOADM3vbOfdNocWeAC51zn1kZg8BlwEPANOAac652WZ2I3AjMDy6LZDqxvM8OnT4Pzp0+D/WrVvL/PnzeOutBUyePJHJkyfSoMG+tG9/JO3aHUWoWSLLkx2kFX0S5pvsFXyw9mOSfoxj5coVLFnyBV988Rm//PIzAGaHctVVgzj11G40bbp/RTdTJHAqEKRa8LfvgE8/xTvxhGBzrFmDf889sCMDNm8KNIsI0BVY5JzbAGBmzwO9gVsjj5sByc65jyLLPwLcYmYzgeOBHoWefxcVCBJFDRrsS//+l9K//6X88svPvPfeO3zxxad8/vlnvP56oXlba4WgdhykhSA19Hvn6nxgWz5syYdNeVy59aKCVerWrUf79kdx8cV/p2PH41UUSLWjAkFinr91K/6JnWHtOnjnLbyDDgomh+/j3zA6XBx0PwOvc+dAcogU0gj4udDjn4G/FPF6E6AesMU5l7vL88X2+OMz2bx5c4kDi+zN/vs3oWnTxmzbto2NGzeyadMmNm/eTEZGBlkbssj8KRPf9wu6ISUmJpKUlERyk2TS09OpXbs2derUITU1Fc/z2LBhHfPmPR9wq0TKJj09ncGDB5doHRUIEvO8WrXwO3aE2c/gX30tzJsTzIRkzzwLbyyA1FS8226J/v5F/iwE+IUee4TPqxb1+q7Ps8t6RerX71Ly83fdRNVSv34t1q/fGnSMClPV2zdhw4O8vrnwwX185GdX+cB2Lko/nX/sc1l0wlWgqv7/VpRYbl9FtS0UKvkw6hrFSKoF79aboXEj+OLf+BPvj/r+/e9W448cFc5y5x2Vc9hVqY5+AAr/Me4H/FSM19cB6Wa2s3N3w13WEwlc15ROJVz+uApKIlL1qECQasGrXRtv8iTwPJh4H/6nn0Vt335eHv5V18D27eF5D849O2r7FinCQqCLmdU3sxSgF/D6zhedc6uBTDPrGHmqH/Cacy4HeB84N/L8hcBr0YstUrTDkw7l0ITidSltldCSNkmHVnAikapDBYJUG95xHeHKKyAvD//Kq/G3bInOjkMhvP4XgR2Md884zZgslYZz7kdgFPA2sAR4yjn3iZm9amZHRRbrC0w0s2+BVGBS5PkrgQFm9g3QifBQqSKVyq31ryM1VHOvy6SGanJL/WFRSiRSNXi+H/U+oM2BVb/9tq1S9D+N5b5sZRGrvxc/Kwv/1G7w9dd4k+7HO++cEq1flt+Ln5cXs3MexOrfS1lVlt9LKORRt24qQAvgu2DTVK7vgLKoLP+/FSVW2rfbmZQjSjOTcmUXK/9vexLL7avIexBK+h2gm5SlWvESE2HWQ+EhT8/uXaH78r9ZDhkZBXMdxGpxICJSmbVMaMFTjaeyLHM5C3csZkveNvZL3Ydjvb+oW5HIHqhAkGrHa94MmjcreOzn5JT7qEb++l/x+10I69bDc7PxjjmmXLcvIiIl0ybp0IKCIJbPQouUB92DINWav+wr/GM74b9afvdX+ps24Z93Pqz5AVofBm3bltu2RURERCqaCgSp1vzXXofVq/Evuxx/3itl396vv+KffS4s+wpatMB7ZBZeUlI5JBURERGJDhUIUq151w2FKwZCTg7+pQPwpz9IaW/c91euxO/WHb5cCs2a4b34HN6+Dco5sYiIiEjFUoEg1ZrneXg334R3wwjwffwbx+APGIi/YUOJtuPn5OCfez6sWgVtWuO9MhevceMKSi0iIiJScVQgSLXneR7e4EF4M6ZDzZowZy7+aX/Dz80tcl0/Ly+8jfh4vLF3Qc8eeHNe0pUDERERqbI0ipFIhHdmd2jTGn/IMLwzz8SrEX57+CtWwPJvoXkzcverg/+f72HJl+Ebm9sdgXfH7eH1T+6Kd3LXIJsgIiIiUmYqEEQK8Q44AF56AQrfhzB3Hv64ewD4bdcVVv0Pf9QNeCkpUcsoIiIiUpFUIIjswvM88Lzfn2jeHLp0hl/WEpebTV5abTjE8DoeC6ecouJAREREYooKBJEieL3Owut1FgD1NLmOiIiIxDjdpCwiIiIiIgVUIIiIiIiISAEVCCIiIiIiUkAFgoiIiIiIFFCBICIiIiIiBYIYxSgOIBTyilouaipTlspEv5fd0+9l9/R72b3K8HsplCEuyBwRle47oCxipR17EsvtU9uqrlhuX0W0rTTfAZ5feEKo6DgOeD/aOxUREToBiwPOoO8AEZFgFPs7IIgCIRE4GvgZyIv2zkVEqqE4oCHwKZAVcBZ9B4iIRFeJvwOCKBBERERERKSS0k3KIiIiIiJSQAWCiIiIiIgUUIEgIiIiIiIFVCCIiIiIiEgBFQgiIiIiIlJABYKIiIiIiBRQgSAiIiIiIgVqBB2gMjGzdsBHzrnEoLNUBmbWEZgIJAC/AZc451YHmyo4ZtYHGA3EA/c556YGHClwZjYGOCfycL5z7vog81Q2ZjYeqOecuzjoLFJ6Rb33zaw9MJ3wZ+Ua4ALn3KaoBy2FYrTtNGBc5OEy4HLn3Lbopiw9M0sDPgD+5pz7bpfX2gIzgTTgPWCgcy436iHLYG/tK7TMY8Ai59wjUYxWZkX8350J3AJ4wCqgv3NuY9RDllIRbetJuG1xhCc2G+Ccy452Rl1BiDCzFGAy4Q94CXsSuNQ51zby70kB5wmMmTUG7gCOA9oCA8ysVbCpgmVmXYG/Au0I/06OjHywCWBmXYCLgs4hZVPM9/79wE3OuSMABwyLbsrSKaptZlYbeBQ4zzl3OPAlcGcQWUvDzDoAi4GD97DIE8DVzrmDCR9oXhatbOWhqPaZWSMzmwf0jmqwcrC3tkUOrh8AukXec0uBm6MasAyKaFtNYApwsnPuMCAJuDiqASNUIPzuXuC+oENUFmaWCIx2zi2NPLUU2D/ASEHrSvgMzAbn3Hbgeargh245+xkY6pzLds7lAMup3n8jBcxsH8IHXlXmYEr2qDjv/TjCZ6EBUoCMKOYri6La1hJY7Zz7JvL4FaBHlDOWxWXAVcBPu75gZs2AZOfcR5GnHgHOjl60crHH9kX0BeYAz0YtUfnZW9vigauccz9GHle145M9ti3yPmzunFsbOXHdAAjkyoi6GAFm1h1Icc49b2ZBx6kUnHNZhM+uYGYhwtX5y0FmClgjwgfEO/0M/CWgLJWCc+7rnf82s5aEuxp1DC5RpTIdGAU0DTqIlFlx3vtDgAVmdh+wHegQpWxlVVTbVgBNzewI59yXhN/j+0UxX5k45y4F2MP3+u7a3iQKscpNEe3DOXdP5PXjohirXOytbc6534CXIq8nAyMI9wCpEorx/5YT6dr3BPAjsCB66X5XrQoEMzubcJ/6wr4lfOana/QTVQ57+r0457qaWQLhS8w1qN5nQ0OAX+ixB+QHlKVSMbPDgPnAdc65FUHnCZqZXQqscc69ZWYXB51Hymyv7/3IAcpDQFfn3CdmNgR4DOgW1ZSls9e2Oec2mdmFwIORE0UzgKj3ha4g+kyv4swsnXCh8KVz7tGg85Qn59xrQF0zu5Nwd6o+0c5QrQoE59xzwHOFn4t8mY8E3ttZzZnZEqCTc25r1EMGYHe/FwAzSwXmEr5B+cxIN5Lq6gegU6HH+7Hny7rVRuRG9heAwc652UHnqSTOBRpGPkf2AVLNbKJz7h8B55LSKeq93xrIcM59Enk8HbgtStnKaq9tM7M44AfnXIfI46OB/0Y1YcX5AWhY6LE+06sQM2sIvAEsAmLmszXSPfUo59zOqwZPAs8EkaVaFQi745ybSXgUAwDMzI/clCvhy1srCY/sUN3PrCwEbjaz+oS7EPQCBgQbKVhm1pRwt7NznXOLgs5TWTjnTt7578gVhBNVHFRpRb33VxLuhmPOOQecSXjkkaqgqLb5hLtOdSB88DyEgA5WyptzbrWZZZpZR+fcv4B+wGtB55KiRQrXecCzzrnbg85TzjzgCTM7yjn3PeH7YhYHEUQ3KctuRYZ8PZNwn/IvzGyJmb0acKzARG6GGgW8DSwBnip0xrC6GkZ4hIUJkb+PJWY2MOhQIuVpT+99M3s18iW+kfAoI8+a2VLgEqB/YIFLoBhtywcuB14nPDrTRuCewAKXg51tizzsC0w0s2+BVGJgpL5d2hdTCrWtO9Ae6F3ou2dmEatXaoXec78RLtJfMbMvAQOGB5HJ832/6KVERERERKRa0BUEEREREREpoAJBREREREQKqEAQEREREZECKhBERERERKSACgQRERERESmgAkFERERERAqoQBARERERkQLVfiZlkeKKTB43BWgHfAX0jsx0KCIiUWRmdwFrnXP3VdD2PwH6O+e+rojti1R2uoIgUgxm1gR4FRgH1AX+B4wONJSISDVkZvWBC4Hpuzzfzsz+ZWY7zOwTM9u/DLsZD9xalpwiVZkKBJHiuReY4Zyb65zLAGYDRwecSUSkOroYeDXyWQxUyEmcucBJZtawDNvYKzM70cy+qqjti5SFuhiJFMHM0oAzgYMLPR0CMoNJJCIS28wsBAwHrgCSgTHA/UAj4DTg4V1WKTiJE1l/dmQdzGwagHPuyt3s5wBgEnAMEA984pw72TmXaWafA38FHi33BpbBnjIHm0pijQoEkaJ1IfwhvNTMdj6XCMwJLJGISGy7CTgZ6ARsAt4AfnPOrTezNoDbuWBRJ3F2VxgU8hjwdGR3BXQNAAADlElEQVT9eODIQq8tB47YdQUzSwVmAS2BfOBz4HLnXL6ZXQIMBfKAX4GLgB+BiYQP6GsBHnDpbrZ7BuGrHgnADmCYc+7DEmYWKRfqYiRStObAXOdc7Z0/wNvA68HGEhGJPZF7DIYAfZ1zq51zm4H5wLLIIrWBrYVWKXwSZ5OZbQKeBFYXY3cHAnFAnHMu0zn3r0KvbY3sa1c9gVrOubb83tX0ADM7gnAXp1Odc4cT7qY0CuhA+MrH/znnWhG+IjFilza3BO4ETnfOtQMGAC+aWc0SZhYpFyoQRIqWSPhsDgBm1gI4ivCHv4iIlK8uwHLn3HeFnqvL7wXCRsJn4ndqTulP4vQlfCb+JzN7yMz2KfRaLcJXL3a1GDjMzN4hfKB/n3NuZST3G865NQDOufuccwMjVwFGA5eb2XigN5C6yzZPBhoCb5nZEsIFTj5wUAkzi5QLFQgiRfsUOMHMGplZU+ApYJRzbkPAuUREYlE9YP3OB2ZWAziD3wuEpfyxO1GpT+I45xY557oArQh3J7q40MuHAl/uZp1VhA/c7wLSgIWR7kG5gF8oR7KZHWJm3QhfAYFw19R/Eu5mVFgc8JZzru3OH8Jdkv50E3MRmUXKhQoEkaItAuYB/yF85uhx59yMYCOJiMSsb4FjzayFmdUBHgAO4PeD5VeBEwotv9eTOGb2iJk9sutOzOwsM2tpZh7hqwV1gCWR1xIJ9+1/czfrXUH4HoQFzrnhhO+PaE/4qkXXQiMfXQ7cTfjqwDzn3APAZ0APwgVBYW8BfzWzQyL7OJ1wIZRc3Mwi5Uk3KYsUwTnnEx5J44qgs4iIxDrn3EIze47w2ftfCE9QmQ/snLTsMWCJmSVHhjotfBLnN2DcLidxmhIemnpXx0W2nUb4RuKxzrlFkde6A+84537azXqPAScC35jZDuB7YJJzbqOZXQe8HhnQ4mfgksj2nzazZYSPuxYAvSh0ktY5942ZDQBmRw7+c4HuzrltJcgsUm483/eLXkpEREQkAGb2V2Cqc65loefuBNYVNZOymSUQLjQOd87llGCfHwN/d85pngKpllQgiIiISKVlZoOAE5xzZwWdRaS60D0IIiIiUpkdym5u1hWRiqMrCCIiIiIiUkBXEEREREREpIAKBBERERERKaACQURERERECqhAEBERERGRAioQRERERESkgAoEEREREREpoAJBREREREQKqEAQEREREZEC/w8y3LcCx86zmAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_KL(q='norm', q_scale_range=[0.75, 1.3], p='norm', p_scale=1.0, theta_range=[-5, +5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note how (in the bottom left panel) the KL integrand has positive and negative regions: the net area is always positive, however, since KL$\\ge 0$.\n", "\n", "For our next example, we consider the more realistic case where the family $q$ does not include the target $p$ so we have to settle for the \"closest\" approximation, according to the KL divergence:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_KL(q='norm', q_scale_range=[0.8, 1.2], p='laplace', p_scale=0.8, theta_range=[-5, +5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the \"closest\" $q$ now has KL$>0$. It also avoids regions where $p \\simeq 0$, since that would blow up the KL integrand.\n", "\n", "The example above showed that a Gaussian PDF with $s \\simeq 1$ gives the best match a Laplacian PDF with $s = 0.8$. Now, turn this around and find the closest Laplacian $q$ to a Gaussian $p$ with $s = 1$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_KL(q='laplace', q_scale_range=[0.6, 0.9], p='norm', p_scale=1.0, theta_range=[-5, +5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answer is a Laplacian with $s\\simeq 0.74$, rather than $0.8$, so a round trip does not end up back where we started! However, this shouldn't surprise us because the KL divergence is not symmetric in $q$ and $p$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the KL divergences between Gaussian and Laplacian distributions in the examples above can all be calculated analytically, which is useful for testing but not generally true. The analytic results are summarized below, for reference:\n", "$$\n", "\\begin{aligned}\n", "\\text{KL}_{qp}[G(s_1)\\parallel G(s_2)] &=\n", "\\frac{1}{2} r^2 - \\log r - \\frac{1}{2} \\quad& \\quad\n", "\\text{KL}_{qp}[G(s_1)\\parallel L(s_2)] &=\n", "\\sqrt{\\frac{2}{\\pi}} r - \\log\\left( \\sqrt{\\frac{\\pi}{2}} r\\right) - \\frac{1}{2} \\\\\n", "\\text{KL}_{qp}[L(s_1)\\parallel G(s_2)] &=\n", "r^2 - \\log\\left(\\sqrt{\\frac{2}{\\pi}}r\\right) - 1 \\quad& \\quad\n", "\\text{KL}_{qp}[L(s_1)\\parallel L(s_2)] &=\n", "r - \\log r - 1 \\; ,\n", "\\end{aligned}\n", "$$\n", "where $r \\equiv s_1/s_2$ is the ratio of scale parameters. With $s_2$ fixed, the corresponding minimum KL divergences are:\n", "$$\n", "\\begin{aligned}\n", "\\min \\text{KL}_{qp}[G(s_1=s_2)\\parallel G(s_2)] &= 0 \\quad& \\quad\n", "\\min \\text{KL}_{qp}[G(s_1=(\\pi/2)s_2)\\parallel L(s_2)] &=\n", "\\sqrt{\\frac{2}{\\pi}} - \\frac{1}{2}\\log\\frac{\\pi}{2} - \\frac{1}{2} \\\\\n", "\\min \\text{KL}_{qp}[L(s_1=s_2/\\sqrt{2})\\parallel G(s_2)] &=\n", "\\frac{1}{2}\\log\\frac{\\pi}{2} \\quad& \\quad\n", "\\min \\text{KL}_{qp}[L(s_1=s_2)\\parallel L(s_2)] &= 0 \\; .\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evidence Lower Bound" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The KL divergence is a generic method to find the parameterized PDF $q(x,s)$ that \"best\" approximates some target PDF $p(x)$. For Bayesian inference, the $p$ we care about is the posterior:\n", "$$\n", "p(\\theta) = P(\\theta\\mid D) = \\frac{P(D\\mid \\theta)\\, P(\\theta)}{P(D)} \\; ,\n", "$$\n", "where:\n", " - $\\theta$ are the model parameters and $D$ represents the observed data.\n", " - $P(D\\mid \\theta)$ is the likelihood of the data assuming parameters $\\theta$.\n", " - $P(\\theta)$ is our prior on the parameters.\n", " - $P(D)$ is the \"evidence\".\n", " \n", "Since we generally cannot calculate the evidence $P(D)$, a useful inference method should not require that we know its value.\n", " \n", "The **variational Bayesian inference** method has three steps:\n", " - Define a family of PDFs $q(\\theta; s)$ that approximate the true posterior $P(\\theta\\mid D)$.\n", " - Use optimization to find the value $s^\\ast$ that, according to the KL divergence, best approximates the true posterior.\n", " - Use $q(\\theta; s=s^\\ast)$ as an approximation of the true posterior for calculating expectation values, etc.\n", " \n", "The main tradeoff is in picking the approximate PDF family $q$. A more flexible choice will generally do a better job of approximating the true posterior, but also require more difficult calculations.\n", "\n", "Plugging the posterior into the KL definition, we can rewrite:\n", "$$\n", "\\begin{aligned}\n", "\\text{KL}(q\\parallel p) &= \\int d\\theta\\, q(\\theta) \\log\\left[\n", "\\frac{P(D)\\, q(\\theta)}{P(D\\mid \\theta)\\, P(\\theta)}\n", "\\right] \\\\\n", "&= \\int d\\theta\\, q(\\theta) \\left[\\log P(D) +\n", "\\log\\frac{q(\\theta)}{P(\\theta)} - \\log P(D\\mid\\theta) \\right] \\\\\n", "&= \\log P(D) + \\text{KL}(q\\parallel P(\\theta)) - \\int d\\theta\\, q(\\theta) \\log P(D\\mid\\theta) \\; .\n", "\\end{aligned}\n", "$$\n", "The three terms on the right-hand side are:\n", " - The log of the evidence $P(D)$.\n", " - The KL divergence of $q(\\theta)$ with respect to the prior $P(\\theta)$.\n", " - The $q$-weighted log-likelihood of the data." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** Describe the $q(\\theta)$ that would minimize the contribution of each term to their sum (assuming a fixed dataset $D$)." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "Solution:\n", " - The log of the evidence is a constant offset in the sum, independent of $q$.\n", " - The KL divergence term is minimized when $q(\\theta) = P(\\theta)$, i.e., it drives $q$ to look like the prior.\n", " - The log-likelihood term is minimized when $q(\\theta)$ prefers parameters $\\theta$ that explain the data (since $q$ is normalized, it can only increase the weight of certain $\\theta$ values by decreasing the weight of others). More formally, the last term is the [cross entropy](https://en.wikipedia.org/wiki/Cross_entropy) of $q(\\theta)$ and $P(D\\mid\\theta)$, which is minimized when they are equal.\n", "\n", "The competition between the last two terms is exactly what we need for a useful learning rule that balances prior knowledge with the information gained from new data.\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can solve the expression above for the (unknown) log-evidence as:\n", "$$\n", "\\log P(D) = \\int d\\theta\\, q(\\theta) \\log P(D\\mid\\theta) - \\text{KL}(q\\parallel P) + \\text{KL}(q\\parallel p) \\; .\n", "$$\n", "Since the last term is $\\ge 0$ (since any KL$\\ge 0$), we find:\n", "$$\n", "\\log P(D) \\ge \\int d\\theta\\, q(\\theta) \\log P(D\\mid\\theta) - \\text{KL}(q\\parallel P) \\; ,\n", "$$\n", "and call this right-hand side the **evidence lower bound (ELBO)**:\n", "$$\n", "\\begin{aligned}\n", "\\text{ELBO}(q) &\\equiv \\int d\\theta\\, q(\\theta) \\log P(D\\mid\\theta) - \\text{KL}(q\\parallel P) \\\\\n", "&= \\int d\\theta\\, q(\\theta) \\log P(D\\mid\\theta) - \\int d\\theta\\, q(\\theta) \\log\\frac{q(\\theta)}{P(\\theta)} \\\\\n", "&= \\int d\\theta\\, q(\\theta) \\log \\left[ P(D\\mid\\theta) P(\\theta)\\right]\n", "- \\int d\\theta\\, q(\\theta) \\log q(\\theta) \\; .\n", "\\end{aligned}\n", "$$\n", "Substituting above, we find that\n", "$$\n", "\\text{KL}(q\\parallel p) = \\log P(D) - \\text{ELBO}(q) \\; ,\n", "$$\n", "so that the ELBO contains all of the $q$ dependence of the KL divergence of $q$ with respect to $p$. The crucial insights are that:\n", " - Minimizing $-\\text{ELBO}(q)$ with respect to $q$ is equivalent to minimizing $\\text{KL}(q\\parallel p)$.\n", " - $\\text{ELBO}(q)$ is much easier to calculate since it does not depend on the evidence $P(D)$.\n", " \n", "Note that, as with the KL divergence, the ELBO can be evaluated in terms of expectation values,\n", "$$\n", "\\text{ELBO}(q) = \\langle \\log \\left[ P(D\\mid\\theta) P(\\theta)\\right]\\rangle_q - \\langle \\log q\\rangle_q \\; .\n", "$$\n", "The practical significance of this fact is that we can estimate the ELBO using averages of known quantities calculated with (finite) samples drawn from $q$, which effectively uses Monte Carlo integration with [importance sampling](https://en.wikipedia.org/wiki/Importance_sampling)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the MLS `plot_ELBO` function to explore some examples:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_ELBO in module mls.variational:\n", "\n", "plot_ELBO(q, q_scale_range, likelihood, prior, theta_range, n_data, seed=123)\n", " Explanatory plots for the evidence lower bound (ELBO).\n", " \n", " Data is modeled with a single offset (loc) parameter theta with an arbitrary\n", " likelihood and prior. A random sample of generated data is used to calculate\n", " the posterior, which is approximated by adjusting the scale parameter of\n", " the arbitrary PDF family q.\n", " \n", " Parameters\n", " ----------\n", " q : str\n", " Name of a 1D continous random variable defined in scipy.stats.\n", " q_scale_range : list\n", " List [lo, hi] giving the range of scale factors to allow in defining the\n", " q family of PDFs.\n", " likelihood : str\n", " Name of a 1D continous random variable defined in scipy.stats.\n", " prior : str\n", " Name of a 1D continous random variable defined in scipy.stats.\n", " theta_range : list\n", " List [lo, hi] giving the range to use for plotting and integration.\n", " The true value of theta used to generate data is (lo + hi) / 2.\n", " n_data : int\n", " Number of data points to generate by sampling from the likelihood with\n", " theta = theta_true.\n", " seed : int\n", " Random number seed to use for reproducible results.\n", "\n" ] } ], "source": [ "help(plot_ELBO)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The example below specifies a [Laplacian PDF](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.laplace.html) for observing $x$ with an unknown offset parameter $\\theta$,\n", "$$\n", "P(x\\mid \\theta) = \\frac{1}{2}\\, e^{-|x - \\theta|} \\; .\n", "$$\n", "The resulting likelihood is then:\n", "$$\n", "P(D\\mid\\theta) = \\prod_i P(x_i\\mid\\theta) \\; .\n", "$$\n", "Our prior knowledge of $\\theta$ is specified by a unit Gaussian,\n", "$$\n", "P(\\theta) = (2\\pi)^{-1/2}\\, e^{-\\theta^2/2} \\; .\n", "$$\n", "The resulting posterior PDF\n", "$$\n", "P(\\theta\\mid D) = \\frac{P(D\\mid\\theta)\\, P(\\theta)}{P(D)}\n", "$$\n", "is no longer a simple distribution since it depends on the random data $D$ and reflects its statistical fluctuations. However, as shown below, it is roughly Gaussian, so we use a family $q$ of Gaussians to approximate it, which have $\\mu=0$ fixed and $s = \\sigma$ varying." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ELBO(q='norm', q_scale_range=[0.05, 0.15], likelihood='laplace', prior='norm',\n", " theta_range=[-0.6, +0.6], n_data=100)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:**\n", " - Is the offset between the KL divergence and -ELBO significant on the scale of variations shown in the upper-right panel?\n", " - Is the posterior dominated by the prior or the new data in this example?\n", " - How do you expect these plots to change when doubling the number of data samples? (think about it before trying it)." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "The offset equals $\\log P(D) \\simeq -145$ so is very significant compared with the variations $\\simeq 0.3$ shown in the upper-right panel. However, since the offset is constant (with respect to $s$) it does not affect the location of the minimum.\n", "\n", "Referring to the top-left panel, the posterior has a standard deviation $s\\simeq 0.1$ but but prior is much wider with $s = 1$, so the posterior is dominated by the new data.\n", "\n", "Doubling the number of data samples will make the data even more informative, leading to a narrower posterior. The best-fitting $q$ will therefore also be narrow, leading to a minimum KL divergence (upper-right panel) at a lower value of $s$.\n", "\n", "Re-run the example above with `n_data` changed from 100 to 200 to confirm these predictions:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ELBO(q='norm', q_scale_range=[0.05, 0.15], likelihood='laplace', prior='norm',\n", " theta_range=[-0.6, +0.6], n_data=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Practical Calculations with VI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC with Metroplis-Hastings updates can be used as a black box for an arbitrary inference problem that only requires that you can calculate your likelihood $P(D\\mid \\theta)$ and prior $P(\\theta)$ for arbitrary parameter values $\\theta$.\n", "\n", "VI, on the other hand, generally requires more work to setup for a particular problem, but is then often more computationally efficient since it replaces sampling with optimization. A necessary step in any VI inference is to select an approximating family $q$, and this generally requires knowledge of the particular problem and some judgment on how to tradeoff calculational convenience against approximation error.\n", "\n", "Once you selected a family $q(\\theta; s)$ that is explored by some $s$, you need to be able to:\n", " - evaluate the KL divergence (or -ELBO) of $q(s)$ with respect to $p$ for any $s$, and\n", " - find the value of $s$ that minimizes the KL divergence.\n", " \n", "There are standard numerical optimization methods for the second step, which perform best when you can evaluate derivatives of $q(s)$ with respect to $s$. The first step either requires an analytic integral over $\\theta$ or a sufficiently accurate numerical approximation to the KL integral. A [recent development](https://arxiv.org/abs/1401.0118) is to use the expectation form of the KL divergence,\n", "$$\n", "\\text{KL}( q \\parallel p ) = \\langle \\log q(\\theta)\\rangle_q - \\langle \\log p(\\theta)\\rangle_q \\; ,\n", "$$\n", "to replace the integral with averages. This approach changes our requirements on the family $q$ from being able to do integrals involving $q$ to being able to sample from $q$ (with a **generative** model) and evaluate $q(\\theta)$ (with a **probabilistic** model), which is generally easier. Although this method is known as \"Black Box Variational Inference\", it still lacks the turn-key convenience of MCMC with MH updates.\n", "\n", "The examples above used a single parameter $\\theta$, to simplify plotting and allow straightforward numerical integration. More interesting problems generally have many parameters, which makes picking a suitable family $q$ much harder. A common approach, known as the **mean field approximation**, is to assume that the posterior can be factored:\n", "$$\n", "P(\\theta_1, \\theta_2, \\ldots\\mid D) = p_1(\\theta_1)\\, p_2(\\theta_2) \\ldots\n", "$$\n", "This is certainly not true in general, but does break a difficult multidimensional optimization problem into a sequence of simpler 1D optimization problems, so is sometimes necessary. Note that this approach is not able to capture any correlations between $\\theta_i$ and $\\theta_j$, so is not a good choice when correlations are expected to be important." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }